fof(cc1_abcmiz_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( (v13_struct_0(A, 1) & v3_orders_2(A))  =>  (v13_struct_0(A, 1) & v3_lattice3(A)) ) ) ) ).
fof(cc2_abcmiz_0, axiom,  (! [A] :  (l1_orders_2(A) =>  (v13_struct_0(A, 1) =>  (v13_struct_0(A, 1) & v1_abcmiz_0(A)) ) ) ) ).
fof(cc3_abcmiz_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & v2_abcmiz_0(A)) ) )  =>  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_yellow_0(A) & v1_abcmiz_0(A)) ) ) ) ) ) ) ) ).
fof(cc4_abcmiz_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) & v1_abcmiz_0(A)) ) ) )  =>  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) & v2_abcmiz_0(A)) ) ) ) ) ) ) ).
fof(rc1_abcmiz_0, axiom,  (? [A] :  (l1_orders_2(A) &  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v3_lattice3(A) &  (v1_yellow_0(A) &  (v2_yellow_0(A) &  (v3_yellow_0(A) &  (v24_waybel_0(A) &  (v25_waybel_0(A) & v2_abcmiz_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_abcmiz_0, axiom,  (! [A] :  ( (v1_abcmiz_0(A) & l1_orders_2(A))  => v1_rewrite1(u1_orders_2(A))) ) ).
fof(rc2_abcmiz_0, axiom,  (? [A] :  (l1_abcmiz_0(A) & v3_abcmiz_0(A)) ) ).
fof(rc3_abcmiz_0, axiom,  (? [A] :  (l1_abcmiz_0(A) &  (v3_abcmiz_0(A) &  ( ~ (v4_abcmiz_0(A))  &  (v5_abcmiz_0(A) & v6_abcmiz_0(A)) ) ) ) ) ).
fof(fc2_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v4_abcmiz_0(A))  & l1_abcmiz_0(A))  =>  ~ (v1_xboole_0(u1_abcmiz_0(A))) ) ) ).
fof(rc4_abcmiz_0, axiom,  (? [A] :  (l2_abcmiz_0(A) & v7_abcmiz_0(A)) ) ).
fof(fc3_abcmiz_0, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, A, k5_finsub_1(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_finsub_1(B))))) ) ) ) )  =>  ( ~ (v2_struct_0(g2_abcmiz_0(A, B, C, D, E)))  & v7_abcmiz_0(g2_abcmiz_0(A, B, C, D, E))) ) ) ).
fof(fc4_abcmiz_0, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, A, k5_finsub_1(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_finsub_1(B))))) ) ) ) )  =>  ( ~ (v4_abcmiz_0(g2_abcmiz_0(A, B, C, D, E)))  & v7_abcmiz_0(g2_abcmiz_0(A, B, C, D, E))) ) ) ).
fof(rc5_abcmiz_0, axiom,  (? [A] :  (l2_abcmiz_0(A) &  (v13_struct_0(A, 1) &  (v3_orders_2(A) &  ( ~ (v4_abcmiz_0(A))  &  (v5_abcmiz_0(A) &  (v6_abcmiz_0(A) & v7_abcmiz_0(A)) ) ) ) ) ) ) ).
fof(rc6_abcmiz_0, axiom,  (? [A] :  (l2_abcmiz_0(A) &  ( ~ (v2_struct_0(A))  &  (v7_struct_0(A) &  (v8_struct_0(A) &  (v13_struct_0(A, 1) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v3_lattice3(A) &  (v1_yellow_0(A) &  (v2_yellow_0(A) &  (v3_yellow_0(A) &  (v16_waybel_0(A) &  (v24_waybel_0(A) &  (v25_waybel_0(A) &  (v1_abcmiz_0(A) &  (v2_abcmiz_0(A) &  ( ~ (v4_abcmiz_0(A))  &  (v5_abcmiz_0(A) &  (v6_abcmiz_0(A) &  (v7_abcmiz_0(A) &  (v8_abcmiz_0(A) &  (v9_abcmiz_0(A) & v10_abcmiz_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc5_abcmiz_0, axiom,  (! [A, B] :  ( ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v9_abcmiz_0(A) & l2_abcmiz_0(A)) ) ) ) )  & m1_subset_1(B, u1_abcmiz_0(A)))  =>  (v1_waybel_0(k3_abcmiz_0(A, B), A) & v12_waybel_0(k3_abcmiz_0(A, B), A)) ) ) ).
fof(fc6_abcmiz_0, axiom,  (! [A, B] :  ( ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v9_abcmiz_0(A) & l2_abcmiz_0(A)) ) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_abcmiz_0(A))))  =>  (v1_waybel_0(k4_abcmiz_0(A, B), A) & v12_waybel_0(k4_abcmiz_0(A, B), A)) ) ) ).
fof(fc7_abcmiz_0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  ( ~ (v4_abcmiz_0(A))  & l2_abcmiz_0(A)) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_finseq_1(C, u1_abcmiz_0(A))) )  =>  ~ (v1_xboole_0(k7_abcmiz_0(A, B, C))) ) ) ).
fof(rc7_abcmiz_0, axiom,  (? [A] :  (l3_abcmiz_0(A) & v11_abcmiz_0(A)) ) ).
fof(rc8_abcmiz_0, axiom,  (? [A] :  (l3_abcmiz_0(A) &  (v13_struct_0(A, 1) &  (v3_orders_2(A) &  ( ~ (v4_abcmiz_0(A))  & v11_abcmiz_0(A)) ) ) ) ) ).
fof(rc9_abcmiz_0, axiom,  (? [A] :  (l3_abcmiz_0(A) &  ( ~ (v2_struct_0(A))  &  (v7_struct_0(A) &  (v8_struct_0(A) &  (v13_struct_0(A, 1) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v3_lattice3(A) &  (v1_yellow_0(A) &  (v2_yellow_0(A) &  (v3_yellow_0(A) &  (v16_waybel_0(A) &  (v24_waybel_0(A) &  (v25_waybel_0(A) &  (v1_abcmiz_0(A) &  (v2_abcmiz_0(A) &  ( ~ (v4_abcmiz_0(A))  &  (v5_abcmiz_0(A) &  (v6_abcmiz_0(A) &  (v8_abcmiz_0(A) &  (v9_abcmiz_0(A) &  (v10_abcmiz_0(A) &  (v11_abcmiz_0(A) &  (v12_abcmiz_0(A) &  (v13_abcmiz_0(A) & v14_abcmiz_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_abcmiz_0, axiom,  (! [A] :  (l1_orders_2(A) =>  (v1_abcmiz_0(A) <=> v1_rewrite1(u1_orders_2(A))) ) ) ).
fof(d2_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (v1_abcmiz_0(A) <=>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (r2_tarski(C, B) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(D, B) & r2_orders_2(A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_abcmiz_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) )  =>  (v2_abcmiz_0(A) <=>  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) & l1_orders_2(A)) ) ) )  & v1_abcmiz_0(A)) ) ) ) ).
fof(t1_abcmiz_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_waybel_0(B, A) &  (v12_waybel_0(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (r1_yellow_0(A, B) & r2_tarski(k1_yellow_0(A, B), B)) ) ) ) ) ).
fof(d4_abcmiz_0, axiom,  (! [A] :  (l1_abcmiz_0(A) =>  (v4_abcmiz_0(A) <=> v1_xboole_0(u1_abcmiz_0(A))) ) ) ).
fof(t2_abcmiz_0, axiom,  (! [A] :  (l1_abcmiz_0(A) =>  (! [B] :  (l1_abcmiz_0(B) =>  ( (u1_abcmiz_0(A)=u1_abcmiz_0(B) & v4_abcmiz_0(A))  => v4_abcmiz_0(B)) ) ) ) ) ).
fof(d5_abcmiz_0, axiom,  (! [A] :  (l1_abcmiz_0(A) =>  (! [B] :  (m1_subset_1(B, u1_abcmiz_0(A)) => k1_abcmiz_0(A, B)=k1_funct_1(u2_abcmiz_0(A), B)) ) ) ) ).
fof(t3_abcmiz_0, axiom,  (! [A] :  (l1_abcmiz_0(A) =>  (! [B] :  (l1_abcmiz_0(B) =>  (g1_abcmiz_0(u1_abcmiz_0(A), u2_abcmiz_0(A))=g1_abcmiz_0(u1_abcmiz_0(B), u2_abcmiz_0(B)) =>  (! [C] :  (m1_subset_1(C, u1_abcmiz_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_abcmiz_0(B)) =>  (C=D => k1_abcmiz_0(A, C)=k1_abcmiz_0(B, D)) ) ) ) ) ) ) ) ) ) ).
fof(d6_abcmiz_0, axiom,  (! [A] :  (l1_abcmiz_0(A) =>  (v5_abcmiz_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_abcmiz_0(A)) => k1_abcmiz_0(A, k1_abcmiz_0(A, B))=B) ) ) ) ) ).
fof(d7_abcmiz_0, axiom,  (! [A] :  (l1_abcmiz_0(A) =>  (v6_abcmiz_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_abcmiz_0(A)) =>  ~ (k1_abcmiz_0(A, B)=B) ) ) ) ) ) ).
fof(t4_abcmiz_0, axiom,  (! [A] :  (! [B] :  ( ~ (A=B)  =>  (! [C] :  (l1_abcmiz_0(C) =>  ( (u1_abcmiz_0(C)=k2_tarski(A, B) &  (k1_funct_1(u2_abcmiz_0(C), A)=B & k1_funct_1(u2_abcmiz_0(C), B)=A) )  =>  ( ~ (v4_abcmiz_0(C))  &  (v5_abcmiz_0(C) & v6_abcmiz_0(C)) ) ) ) ) ) ) ) ).
fof(t5_abcmiz_0, axiom,  (! [A] :  (l1_abcmiz_0(A) =>  (! [B] :  (l1_abcmiz_0(B) =>  ( (g1_abcmiz_0(u1_abcmiz_0(A), u2_abcmiz_0(A))=g1_abcmiz_0(u1_abcmiz_0(B), u2_abcmiz_0(B)) & v5_abcmiz_0(A))  => v5_abcmiz_0(B)) ) ) ) ) ).
fof(t6_abcmiz_0, axiom,  (! [A] :  (l1_abcmiz_0(A) =>  (! [B] :  (l1_abcmiz_0(B) =>  ( (g1_abcmiz_0(u1_abcmiz_0(A), u2_abcmiz_0(A))=g1_abcmiz_0(u1_abcmiz_0(B), u2_abcmiz_0(B)) & v6_abcmiz_0(A))  => v6_abcmiz_0(B)) ) ) ) ) ).
fof(d8_abcmiz_0, axiom,  (! [A] :  (l2_abcmiz_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_abcmiz_0(A, B)=k1_funct_1(u3_abcmiz_0(A), B)) ) ) ) ).
fof(t7_abcmiz_0, axiom,  (! [A] :  (l2_abcmiz_0(A) =>  (! [B] :  (l2_abcmiz_0(B) =>  (g2_abcmiz_0(u1_struct_0(A), u1_abcmiz_0(A), u1_orders_2(A), u2_abcmiz_0(A), u3_abcmiz_0(A))=g2_abcmiz_0(u1_struct_0(B), u1_abcmiz_0(B), u1_orders_2(B), u2_abcmiz_0(B), u3_abcmiz_0(B)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (C=D => k2_abcmiz_0(A, C)=k2_abcmiz_0(B, D)) ) ) ) ) ) ) ) ) ) ).
fof(d9_abcmiz_0, axiom,  (! [A] :  (l2_abcmiz_0(A) =>  (v8_abcmiz_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_abcmiz_0(A)) =>  ~ ( (r2_tarski(C, k2_abcmiz_0(A, B)) & r2_tarski(k1_abcmiz_0(A, C), k2_abcmiz_0(A, B))) ) ) ) ) ) ) ) ) ).
fof(t8_abcmiz_0, axiom,  (! [A] :  (l2_abcmiz_0(A) =>  (! [B] :  (l2_abcmiz_0(B) =>  ( (g2_abcmiz_0(u1_struct_0(A), u1_abcmiz_0(A), u1_orders_2(A), u2_abcmiz_0(A), u3_abcmiz_0(A))=g2_abcmiz_0(u1_struct_0(B), u1_abcmiz_0(B), u1_orders_2(B), u2_abcmiz_0(B), u3_abcmiz_0(B)) & v8_abcmiz_0(A))  => v8_abcmiz_0(B)) ) ) ) ) ).
fof(d10_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_abcmiz_0(A))  =>  (v9_abcmiz_0(A) <=>  (v1_funct_1(u3_abcmiz_0(A)) &  (v1_funct_2(u3_abcmiz_0(A), u1_struct_0(A), u1_struct_0(k7_lattice3(k2_yellow_1(u1_abcmiz_0(A))))) &  (v20_waybel_0(u3_abcmiz_0(A), A, k7_lattice3(k2_yellow_1(u1_abcmiz_0(A)))) & m1_subset_1(u3_abcmiz_0(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k7_lattice3(k2_yellow_1(u1_abcmiz_0(A)))))))) ) ) ) ) ) ).
fof(t9_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_abcmiz_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_abcmiz_0(B))  =>  ( (g2_abcmiz_0(u1_struct_0(A), u1_abcmiz_0(A), u1_orders_2(A), u2_abcmiz_0(A), u3_abcmiz_0(A))=g2_abcmiz_0(u1_struct_0(B), u1_abcmiz_0(B), u1_orders_2(B), u2_abcmiz_0(B), u3_abcmiz_0(B)) & v9_abcmiz_0(A))  => v9_abcmiz_0(B)) ) ) ) ) ).
fof(d11_abcmiz_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) & l2_abcmiz_0(A)) ) ) )  =>  (v9_abcmiz_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_abcmiz_0(A, k13_lattice3(A, B, C))=k3_finsub_1(k1_zfmisc_1(u1_abcmiz_0(A)), k2_abcmiz_0(A, B), k2_abcmiz_0(A, C))) ) ) ) ) ) ) ).
fof(t10_abcmiz_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) & l2_abcmiz_0(A)) ) ) )  =>  (v9_abcmiz_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_orders_2(A, B, C) => r1_tarski(k2_abcmiz_0(A, C), k2_abcmiz_0(A, B))) ) ) ) ) ) ) ) ).
fof(d12_abcmiz_0, axiom,  (! [A] :  (l2_abcmiz_0(A) =>  (! [B] :  (m1_subset_1(B, u1_abcmiz_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (C=k3_abcmiz_0(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (D=E & r2_tarski(B, k2_abcmiz_0(A, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_abcmiz_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_abcmiz_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (C=k4_abcmiz_0(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, C) <=>  (! [E] :  (m1_subset_1(E, u1_abcmiz_0(A)) =>  (r2_tarski(E, B) => r2_tarski(D, k3_abcmiz_0(A, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_abcmiz_0, axiom,  (! [A] :  (l2_abcmiz_0(A) =>  (! [B] :  (l2_abcmiz_0(B) =>  (g2_abcmiz_0(u1_struct_0(A), u1_abcmiz_0(A), u1_orders_2(A), u2_abcmiz_0(A), u3_abcmiz_0(A))=g2_abcmiz_0(u1_struct_0(B), u1_abcmiz_0(B), u1_orders_2(B), u2_abcmiz_0(B), u3_abcmiz_0(B)) =>  (! [C] :  (m1_subset_1(C, u1_abcmiz_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_abcmiz_0(B)) =>  (C=D => k3_abcmiz_0(A, C)=k3_abcmiz_0(B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t13_abcmiz_0, axiom,  (! [A] :  (l2_abcmiz_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_abcmiz_0(A)) =>  (r2_tarski(C, k2_abcmiz_0(A, B)) <=> r2_tarski(B, k3_abcmiz_0(A, C))) ) ) ) ) ) ) ).
fof(t14_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_abcmiz_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_abcmiz_0(A))) =>  (r1_tarski(C, k2_abcmiz_0(A, B)) <=> r2_tarski(B, k4_abcmiz_0(A, C))) ) ) ) ) ) ) ).
fof(t16_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_abcmiz_0(A))  => k4_abcmiz_0(A, k1_subset_1(u1_abcmiz_0(A)))=u1_struct_0(A)) ) ).
fof(d14_abcmiz_0, axiom,  (! [A] :  (l2_abcmiz_0(A) =>  (v10_abcmiz_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_abcmiz_0(A)) =>  ~ (v1_xboole_0(k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)), k3_abcmiz_0(A, B), k3_abcmiz_0(A, k1_abcmiz_0(A, B))))) ) ) ) ) ) ).
fof(t17_abcmiz_0, axiom,  (! [A] :  (l2_abcmiz_0(A) =>  (! [B] :  (l2_abcmiz_0(B) =>  ( (g2_abcmiz_0(u1_struct_0(A), u1_abcmiz_0(A), u1_orders_2(A), u2_abcmiz_0(A), u3_abcmiz_0(A))=g2_abcmiz_0(u1_struct_0(B), u1_abcmiz_0(B), u1_orders_2(B), u2_abcmiz_0(B), u3_abcmiz_0(B)) & v10_abcmiz_0(A))  => v10_abcmiz_0(B)) ) ) ) ) ).
fof(t18_abcmiz_0, axiom,  (! [A] :  ( (v8_abcmiz_0(A) & l2_abcmiz_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_abcmiz_0(A)) => r1_xboole_0(k3_abcmiz_0(A, B), k3_abcmiz_0(A, k1_abcmiz_0(A, B)))) ) ) ) ).
fof(d15_abcmiz_0, axiom,  (! [A] :  (l2_abcmiz_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_abcmiz_0(A)) =>  (r1_abcmiz_0(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (r2_tarski(D, k3_abcmiz_0(A, C)) & r1_orders_2(A, D, B)) ) ) ) ) ) ) ) ) ) ).
fof(d16_abcmiz_0, axiom,  (! [A] :  (l2_abcmiz_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_abcmiz_0(A))) =>  (r2_abcmiz_0(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (r1_tarski(C, k2_abcmiz_0(A, D)) & r1_orders_2(A, D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t19_abcmiz_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v9_abcmiz_0(A) & l2_abcmiz_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_abcmiz_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_abcmiz_0(A, C, B) =>  ( ~ (v1_xboole_0(k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)), k3_abcmiz_0(A, B), k5_waybel_0(A, C))))  &  (v1_waybel_0(k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)), k3_abcmiz_0(A, B), k5_waybel_0(A, C)), A) &  (v12_waybel_0(k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)), k3_abcmiz_0(A, B), k5_waybel_0(A, C)), A) & m1_subset_1(k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)), k3_abcmiz_0(A, B), k5_waybel_0(A, C)), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ) ) ) ) ).
fof(d17_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) & l2_abcmiz_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_abcmiz_0(A)) => k5_abcmiz_0(A, B, C)=k1_yellow_0(A, k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)), k3_abcmiz_0(A, C), k5_waybel_0(A, B)))) ) ) ) ) ) ).
fof(t20_abcmiz_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) &  (v9_abcmiz_0(A) & l2_abcmiz_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_abcmiz_0(A)) =>  (r1_abcmiz_0(A, B, C) => r3_orders_2(A, k5_abcmiz_0(A, B, C), B)) ) ) ) ) ) ) ).
fof(t21_abcmiz_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) &  (v9_abcmiz_0(A) & l2_abcmiz_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_abcmiz_0(A)) =>  (r1_abcmiz_0(A, B, C) => r2_tarski(C, k2_abcmiz_0(A, k5_abcmiz_0(A, B, C)))) ) ) ) ) ) ) ).
fof(t22_abcmiz_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) &  (v9_abcmiz_0(A) & l2_abcmiz_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_abcmiz_0(A)) =>  (r1_abcmiz_0(A, B, C) => r2_tarski(k5_abcmiz_0(A, B, C), k3_abcmiz_0(A, C))) ) ) ) ) ) ) ).
fof(t23_abcmiz_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) &  (v9_abcmiz_0(A) & l2_abcmiz_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_abcmiz_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r3_orders_2(A, D, B) & r2_tarski(C, k2_abcmiz_0(A, D)))  =>  (r1_abcmiz_0(A, B, C) & r3_orders_2(A, D, k5_abcmiz_0(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t24_abcmiz_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) &  (v9_abcmiz_0(A) & l2_abcmiz_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_abcmiz_0(A)) =>  (r2_tarski(C, k2_abcmiz_0(A, B)) =>  (r1_abcmiz_0(A, B, C) & k5_abcmiz_0(A, B, C)=B) ) ) ) ) ) ) ) ).
fof(t25_abcmiz_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) &  (v9_abcmiz_0(A) & l2_abcmiz_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_abcmiz_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_abcmiz_0(A)) =>  ( (r1_abcmiz_0(A, B, C) & r1_abcmiz_0(A, k5_abcmiz_0(A, B, C), D))  =>  (r1_abcmiz_0(A, B, D) &  (r1_abcmiz_0(A, k5_abcmiz_0(A, B, D), C) & k5_abcmiz_0(A, k5_abcmiz_0(A, B, D), C)=k5_abcmiz_0(A, k5_abcmiz_0(A, B, C), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_abcmiz_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v9_abcmiz_0(A) & l2_abcmiz_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_abcmiz_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_abcmiz_0(A, C, B) =>  ( ~ (v1_xboole_0(k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)), k4_abcmiz_0(A, B), k5_waybel_0(A, C))))  &  (v1_waybel_0(k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)), k4_abcmiz_0(A, B), k5_waybel_0(A, C)), A) &  (v12_waybel_0(k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)), k4_abcmiz_0(A, B), k5_waybel_0(A, C)), A) & m1_subset_1(k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)), k4_abcmiz_0(A, B), k5_waybel_0(A, C)), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ) ) ) ) ).
fof(d18_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) & l2_abcmiz_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_abcmiz_0(A))) => k6_abcmiz_0(A, B, C)=k1_yellow_0(A, k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)), k4_abcmiz_0(A, C), k5_waybel_0(A, B)))) ) ) ) ) ) ).
fof(t27_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l2_abcmiz_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_abcmiz_0(A, B, k1_subset_1(u1_abcmiz_0(A)))=B) ) ) ) ).
fof(d19_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  ( ~ (v4_abcmiz_0(A))  & l2_abcmiz_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_abcmiz_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (D=k7_abcmiz_0(A, B, C) <=>  (k3_finseq_1(D)=k1_nat_1(k3_finseq_1(C), 1) &  (k1_funct_1(D, 1)=B &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  (m1_subset_1(F, u1_abcmiz_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_tarski(E, k4_finseq_1(C)) &  (F=k1_funct_1(C, E) & G=k1_funct_1(D, E)) )  => k1_funct_1(D, k1_nat_1(E, 1))=k5_abcmiz_0(A, G, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  ( ~ (v4_abcmiz_0(A))  & l2_abcmiz_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k7_abcmiz_0(A, B, k6_finseq_1(u1_abcmiz_0(A)))=k12_finseq_1(u1_struct_0(A), B)) ) ) ) ).
fof(t29_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  ( ~ (v4_abcmiz_0(A))  & l2_abcmiz_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_abcmiz_0(A)) => k7_abcmiz_0(A, B, k12_finseq_1(u1_abcmiz_0(A), C))=k10_finseq_1(B, k5_abcmiz_0(A, B, C))) ) ) ) ) ) ).
fof(d20_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  ( ~ (v4_abcmiz_0(A))  & l2_abcmiz_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_abcmiz_0(A)) => k8_abcmiz_0(A, B, C)=k1_funct_1(k7_abcmiz_0(A, B, C), k1_nat_1(k3_finseq_1(C), 1))) ) ) ) ) ) ).
fof(t30_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  ( ~ (v4_abcmiz_0(A))  & l2_abcmiz_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k8_abcmiz_0(A, B, k6_finseq_1(u1_abcmiz_0(A)))=B) ) ) ) ).
fof(t31_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  ( ~ (v4_abcmiz_0(A))  & l2_abcmiz_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_abcmiz_0(A)) => k8_abcmiz_0(A, B, k12_finseq_1(u1_abcmiz_0(A), C))=k5_abcmiz_0(A, B, C)) ) ) ) ) ) ).
fof(t32_abcmiz_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(1, C) =>  (r1_xxreal_0(k3_finseq_1(A), C) | k1_funct_1(k1_rewrite1(A, B), C)=k1_funct_1(A, C)) ) ) ) ) ) ) ) ).
fof(t33_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (r1_xxreal_0(k3_finseq_1(B), C))  => k1_funct_1(k1_rewrite1(A, B), k2_xcmplx_0(k3_finseq_1(A), C))=k1_funct_1(B, k1_nat_1(C, 1))) ) ) ) ) ) ) ).
fof(t34_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  ( ~ (v4_abcmiz_0(A))  & l2_abcmiz_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_abcmiz_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_abcmiz_0(A)) => k7_abcmiz_0(A, B, k8_finseq_1(u1_abcmiz_0(A), C, D))=k1_rewrite1(k7_abcmiz_0(A, B, C), k7_abcmiz_0(A, k8_abcmiz_0(A, B, C), D))) ) ) ) ) ) ) ) ).
fof(t35_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  ( ~ (v4_abcmiz_0(A))  & l2_abcmiz_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_abcmiz_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_abcmiz_0(A)) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(C)) => k1_funct_1(k7_abcmiz_0(A, B, k8_finseq_1(u1_abcmiz_0(A), C, D)), E)=k1_funct_1(k7_abcmiz_0(A, B, C), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  ( ~ (v4_abcmiz_0(A))  & l2_abcmiz_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_abcmiz_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_abcmiz_0(A)) => k1_funct_1(k7_abcmiz_0(A, B, k8_finseq_1(u1_abcmiz_0(A), C, D)), k1_nat_1(k3_finseq_1(C), 1))=k8_abcmiz_0(A, B, C)) ) ) ) ) ) ) ) ).
fof(t37_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  ( ~ (v4_abcmiz_0(A))  & l2_abcmiz_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_abcmiz_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_abcmiz_0(A)) => k8_abcmiz_0(A, k8_abcmiz_0(A, B, C), D)=k8_abcmiz_0(A, B, k8_finseq_1(u1_abcmiz_0(A), C, D))) ) ) ) ) ) ) ) ).
fof(d21_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  ( ~ (v4_abcmiz_0(A))  & l2_abcmiz_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_abcmiz_0(A)) =>  (r3_abcmiz_0(A, B, C) <=>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, u1_abcmiz_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_tarski(D, k4_finseq_1(C)) &  (E=k1_funct_1(C, D) & F=k1_funct_1(k7_abcmiz_0(A, B, C), D)) )  => r1_abcmiz_0(A, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  ( ~ (v4_abcmiz_0(A))  & l2_abcmiz_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r3_abcmiz_0(A, B, k6_finseq_1(u1_abcmiz_0(A)))) ) ) ) ).
fof(t39_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  ( ~ (v4_abcmiz_0(A))  & l2_abcmiz_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_abcmiz_0(A)) =>  (r1_abcmiz_0(A, B, C) <=> r3_abcmiz_0(A, B, k12_finseq_1(u1_abcmiz_0(A), C))) ) ) ) ) ) ) ).
fof(t40_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  ( ~ (v4_abcmiz_0(A))  & l2_abcmiz_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_abcmiz_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_abcmiz_0(A)) =>  (r3_abcmiz_0(A, B, k8_finseq_1(u1_abcmiz_0(A), C, D)) =>  (r3_abcmiz_0(A, B, C) & r3_abcmiz_0(A, k8_abcmiz_0(A, B, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(t41_abcmiz_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) &  ( ~ (v4_abcmiz_0(A))  &  (v9_abcmiz_0(A) & l2_abcmiz_0(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_abcmiz_0(A)) =>  (r3_abcmiz_0(A, B, C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, E) & r1_xxreal_0(E, k1_nat_1(k3_finseq_1(C), 1))) )  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (F=k1_funct_1(k7_abcmiz_0(A, B, C), D) & G=k1_funct_1(k7_abcmiz_0(A, B, C), E))  => r3_orders_2(A, G, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_abcmiz_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) &  ( ~ (v4_abcmiz_0(A))  &  (v9_abcmiz_0(A) & l2_abcmiz_0(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_abcmiz_0(A)) =>  (r3_abcmiz_0(A, B, C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, k2_relset_1(u1_struct_0(A), k7_abcmiz_0(A, B, C))) =>  (r3_orders_2(A, k8_abcmiz_0(A, B, C), D) & r3_orders_2(A, D, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_abcmiz_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) &  ( ~ (v4_abcmiz_0(A))  &  (v9_abcmiz_0(A) & l2_abcmiz_0(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_abcmiz_0(A)) =>  (r3_abcmiz_0(A, B, C) => r3_orders_2(A, k8_abcmiz_0(A, B, C), B)) ) ) ) ) ) ) ).
fof(t44_abcmiz_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) &  ( ~ (v4_abcmiz_0(A))  &  (v9_abcmiz_0(A) & l2_abcmiz_0(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_abcmiz_0(A)) =>  (r3_abcmiz_0(A, B, C) => r1_tarski(k2_relset_1(u1_abcmiz_0(A), C), k2_abcmiz_0(A, k8_abcmiz_0(A, B, C)))) ) ) ) ) ) ) ).
fof(t45_abcmiz_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) &  ( ~ (v4_abcmiz_0(A))  &  (v9_abcmiz_0(A) & l2_abcmiz_0(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_abcmiz_0(A)) =>  (r3_abcmiz_0(A, B, C) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_abcmiz_0(A))) =>  (D=k2_relset_1(u1_abcmiz_0(A), C) => r2_abcmiz_0(A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t46_abcmiz_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) &  ( ~ (v4_abcmiz_0(A))  &  (v9_abcmiz_0(A) & l2_abcmiz_0(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_abcmiz_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_abcmiz_0(A)) =>  ( (r3_abcmiz_0(A, B, C) & r1_tarski(k2_relset_1(u1_abcmiz_0(A), D), k2_relset_1(u1_abcmiz_0(A), C)))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(E, k2_relset_1(u1_struct_0(A), k7_abcmiz_0(A, B, D))) => r3_orders_2(A, k8_abcmiz_0(A, B, C), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_abcmiz_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) &  ( ~ (v4_abcmiz_0(A))  &  (v9_abcmiz_0(A) & l2_abcmiz_0(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_abcmiz_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_abcmiz_0(A)) =>  (r3_abcmiz_0(A, B, k8_finseq_1(u1_abcmiz_0(A), C, D)) => r3_abcmiz_0(A, B, k8_finseq_1(u1_abcmiz_0(A), D, C))) ) ) ) ) ) ) ) ) ).
fof(t48_abcmiz_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) &  ( ~ (v4_abcmiz_0(A))  &  (v9_abcmiz_0(A) & l2_abcmiz_0(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_abcmiz_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_abcmiz_0(A)) =>  (r3_abcmiz_0(A, B, k8_finseq_1(u1_abcmiz_0(A), C, D)) => k8_abcmiz_0(A, B, k8_finseq_1(u1_abcmiz_0(A), C, D))=k8_abcmiz_0(A, B, k8_finseq_1(u1_abcmiz_0(A), D, C))) ) ) ) ) ) ) ) ) ).
fof(t49_abcmiz_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) &  (v9_abcmiz_0(A) & l2_abcmiz_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_abcmiz_0(A))) =>  (r2_abcmiz_0(A, B, C) => r3_orders_2(A, k6_abcmiz_0(A, B, C), B)) ) ) ) ) ) ) ).
fof(t50_abcmiz_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) &  (v9_abcmiz_0(A) & l2_abcmiz_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_abcmiz_0(A))) =>  (r2_abcmiz_0(A, B, C) => r1_tarski(C, k2_abcmiz_0(A, k6_abcmiz_0(A, B, C)))) ) ) ) ) ) ) ).
fof(t51_abcmiz_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) &  (v9_abcmiz_0(A) & l2_abcmiz_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_abcmiz_0(A))) =>  (r2_abcmiz_0(A, B, C) => r2_tarski(k6_abcmiz_0(A, B, C), k4_abcmiz_0(A, C))) ) ) ) ) ) ) ).
fof(t52_abcmiz_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) &  (v9_abcmiz_0(A) & l2_abcmiz_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_abcmiz_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r3_orders_2(A, D, B) & r1_tarski(C, k2_abcmiz_0(A, D)))  =>  (r2_abcmiz_0(A, B, C) & r3_orders_2(A, D, k6_abcmiz_0(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t53_abcmiz_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) &  (v9_abcmiz_0(A) & l2_abcmiz_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_abcmiz_0(A))) =>  (r1_tarski(C, k2_abcmiz_0(A, B)) =>  (r2_abcmiz_0(A, B, C) & k6_abcmiz_0(A, B, C)=B) ) ) ) ) ) ) ) ).
fof(t54_abcmiz_0, axiom,  (! [A] :  (l2_abcmiz_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_abcmiz_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_abcmiz_0(A))) =>  ( (r2_abcmiz_0(A, B, C) & r1_tarski(D, C))  => r2_abcmiz_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t55_abcmiz_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) &  ( ~ (v4_abcmiz_0(A))  &  (v9_abcmiz_0(A) & l2_abcmiz_0(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_abcmiz_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_abcmiz_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_abcmiz_0(A))) =>  ( (E=k1_finsub_1(k1_zfmisc_1(u1_abcmiz_0(A)), D, k6_domain_1(u1_abcmiz_0(A), C)) & r2_abcmiz_0(A, B, E))  => k5_abcmiz_0(A, k6_abcmiz_0(A, B, D), C)=k6_abcmiz_0(A, B, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_abcmiz_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) &  ( ~ (v4_abcmiz_0(A))  &  (v9_abcmiz_0(A) & l2_abcmiz_0(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_abcmiz_0(A)) =>  (r3_abcmiz_0(A, B, C) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_abcmiz_0(A))) =>  (D=k2_relset_1(u1_abcmiz_0(A), C) => k8_abcmiz_0(A, B, C)=k6_abcmiz_0(A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(d22_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v4_abcmiz_0(A))  & l2_abcmiz_0(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_abcmiz_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_abcmiz_0(A), u1_struct_0(A))))) )  =>  (B=k9_abcmiz_0(A) <=>  (! [C] :  (m1_subset_1(C, u1_abcmiz_0(A)) => k3_funct_2(u1_abcmiz_0(A), u1_struct_0(A), B, C)=k1_yellow_0(A, k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)), k3_abcmiz_0(A, C), k3_abcmiz_0(A, k1_abcmiz_0(A, C))))) ) ) ) ) ) ) ).
fof(d23_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v4_abcmiz_0(A))  & l3_abcmiz_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_abcmiz_0(A)) => k10_abcmiz_0(A, B)=k3_funct_2(u1_abcmiz_0(A), u1_struct_0(A), u4_abcmiz_0(A), B)) ) ) ) ).
fof(d24_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v4_abcmiz_0(A))  & l3_abcmiz_0(A)) )  =>  (v12_abcmiz_0(A) <=> r2_funct_2(u1_abcmiz_0(A), u1_struct_0(A), k1_partfun1(u1_abcmiz_0(A), u1_abcmiz_0(A), u1_abcmiz_0(A), u1_struct_0(A), u2_abcmiz_0(A), u4_abcmiz_0(A)), u4_abcmiz_0(A))) ) ) ).
fof(d25_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v4_abcmiz_0(A))  & l3_abcmiz_0(A)) )  =>  (v13_abcmiz_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_abcmiz_0(A)) =>  (r2_lattice3(A, k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)), k3_abcmiz_0(A, B), k3_abcmiz_0(A, k1_abcmiz_0(A, B))), k10_abcmiz_0(A, B)) &  ~ ( ( ~ (k3_abcmiz_0(A, B)=k1_xboole_0)  &  ( ~ (k3_abcmiz_0(A, k1_abcmiz_0(A, B))=k1_xboole_0)  &  ~ (k10_abcmiz_0(A, B)=k1_yellow_0(A, k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)), k3_abcmiz_0(A, B), k3_abcmiz_0(A, k1_abcmiz_0(A, B))))) ) ) ) ) ) ) ) ) ) ).
fof(d26_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v4_abcmiz_0(A))  & l3_abcmiz_0(A)) )  =>  (v12_abcmiz_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_abcmiz_0(A)) => k10_abcmiz_0(A, k1_abcmiz_0(A, B))=k10_abcmiz_0(A, B)) ) ) ) ) ).
fof(d27_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v4_abcmiz_0(A))  & l3_abcmiz_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_abcmiz_0(A)) =>  (r4_abcmiz_0(A, B, C) <=>  (r1_orders_2(A, B, k10_abcmiz_0(A, C)) & r1_abcmiz_0(A, B, C)) ) ) ) ) ) ) ) ).
fof(d28_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  ( ~ (v4_abcmiz_0(A))  & l3_abcmiz_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_abcmiz_0(A)) =>  (r5_abcmiz_0(A, B, C) <=>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, u1_abcmiz_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_tarski(D, k4_finseq_1(C)) &  (E=k1_funct_1(C, D) & F=k1_funct_1(k7_abcmiz_0(A, B, C), D)) )  => r4_abcmiz_0(A, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  ( ~ (v4_abcmiz_0(A))  & l3_abcmiz_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_abcmiz_0(A)) =>  (r5_abcmiz_0(A, B, C) => r3_abcmiz_0(A, B, C)) ) ) ) ) ) ) ).
fof(t58_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  ( ~ (v4_abcmiz_0(A))  & l3_abcmiz_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r5_abcmiz_0(A, B, k6_finseq_1(u1_abcmiz_0(A)))) ) ) ) ).
fof(t59_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  ( ~ (v4_abcmiz_0(A))  & l3_abcmiz_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_abcmiz_0(A)) =>  (r4_abcmiz_0(A, B, C) <=> r5_abcmiz_0(A, B, k12_finseq_1(u1_abcmiz_0(A), C))) ) ) ) ) ) ) ).
fof(t60_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  ( ~ (v4_abcmiz_0(A))  & l3_abcmiz_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_abcmiz_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_abcmiz_0(A)) =>  (r5_abcmiz_0(A, B, k8_finseq_1(u1_abcmiz_0(A), C, D)) =>  (r5_abcmiz_0(A, B, C) & r5_abcmiz_0(A, k8_abcmiz_0(A, B, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(t61_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  ( ~ (v4_abcmiz_0(A))  & l3_abcmiz_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_abcmiz_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_abcmiz_0(A)) =>  ( (r5_abcmiz_0(A, B, C) & r5_abcmiz_0(A, k8_abcmiz_0(A, B, C), D))  => r5_abcmiz_0(A, B, k8_finseq_1(u1_abcmiz_0(A), C, D))) ) ) ) ) ) ) ) ) ).
fof(d29_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  ( ~ (v4_abcmiz_0(A))  & l3_abcmiz_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_abcmiz_0(A))) =>  (r6_abcmiz_0(A, B, C) <=>  (? [D] :  (m2_finseq_1(D, u1_abcmiz_0(A)) &  (k2_relset_1(u1_abcmiz_0(A), D)=C & r5_abcmiz_0(A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t62_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  ( ~ (v4_abcmiz_0(A))  & l3_abcmiz_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_abcmiz_0(A))) =>  (r6_abcmiz_0(A, B, C) => v1_finset_1(C)) ) ) ) ) ) ) ).
fof(t63_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  ( ~ (v4_abcmiz_0(A))  & l3_abcmiz_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r6_abcmiz_0(A, B, k1_subset_1(u1_abcmiz_0(A)))) ) ) ) ).
fof(t64_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  ( ~ (v4_abcmiz_0(A))  & l3_abcmiz_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_abcmiz_0(A))) =>  ~ ( (r6_abcmiz_0(A, B, C) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_abcmiz_0(A))) =>  ~ ( (r1_tarski(D, C) &  (r6_abcmiz_0(A, B, D) &  (k6_abcmiz_0(A, B, C)=k6_abcmiz_0(A, B, D) &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_abcmiz_0(A))) =>  ( (r1_tarski(E, D) &  (r6_abcmiz_0(A, B, E) & k6_abcmiz_0(A, B, C)=k6_abcmiz_0(A, B, E)) )  => E=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d30_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  ( ~ (v4_abcmiz_0(A))  & l3_abcmiz_0(A)) ) ) )  =>  (v14_abcmiz_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_abcmiz_0(A)) =>  ~ ( (r4_abcmiz_0(A, B, D) &  (r3_orders_2(A, k5_abcmiz_0(A, B, D), C) &  (! [E] :  ( (v1_finset_1(E) & m1_subset_1(E, k1_zfmisc_1(u1_abcmiz_0(A))))  =>  ~ ( (r6_abcmiz_0(A, k10_lattice3(A, B, C), E) & k6_abcmiz_0(A, k10_lattice3(A, B, C), E)=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_abcmiz_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) &  ( ~ (v4_abcmiz_0(A))  &  (v9_abcmiz_0(A) & l3_abcmiz_0(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_abcmiz_0(A))) =>  ~ ( (r6_abcmiz_0(A, B, C) &  (! [D] :  ( (v2_funct_1(D) & m2_finseq_1(D, u1_abcmiz_0(A)))  =>  ~ ( (k2_relset_1(u1_abcmiz_0(A), D)=C & r5_abcmiz_0(A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d31_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  ( ~ (v4_abcmiz_0(A))  & l3_abcmiz_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) =>  (B=k11_abcmiz_0(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(k1_domain_1(u1_struct_0(A), u1_struct_0(A), C, D), B) <=>  (? [E] :  (m1_subset_1(E, u1_abcmiz_0(A)) &  ( ~ (r2_tarski(E, k2_abcmiz_0(A, D)))  &  (r4_abcmiz_0(A, D, E) & k5_abcmiz_0(A, D, E)=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_abcmiz_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) &  ( ~ (v4_abcmiz_0(A))  &  (v9_abcmiz_0(A) & l3_abcmiz_0(A)) ) ) ) ) ) )  => r1_relset_1(u1_struct_0(A), u1_struct_0(A), k11_abcmiz_0(A), u1_orders_2(A))) ) ).
fof(t67_abcmiz_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) &  ( ~ (v4_abcmiz_0(A))  &  (v9_abcmiz_0(A) & l3_abcmiz_0(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_rewrite1(k11_abcmiz_0(A), B, C) => r3_orders_2(A, B, C)) ) ) ) ) ) ) ).
fof(t68_abcmiz_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) &  ( ~ (v4_abcmiz_0(A))  &  (v9_abcmiz_0(A) & l3_abcmiz_0(A)) ) ) ) ) ) )  => v2_relat_2(k11_abcmiz_0(A))) ) ).
fof(t69_abcmiz_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) &  ( ~ (v4_abcmiz_0(A))  &  (v9_abcmiz_0(A) & l3_abcmiz_0(A)) ) ) ) ) ) )  => v3_rewrite1(k11_abcmiz_0(A))) ) ).
fof(t70_abcmiz_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) &  ( ~ (v4_abcmiz_0(A))  &  (v9_abcmiz_0(A) & l3_abcmiz_0(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_abcmiz_0(A))))  =>  ( (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_abcmiz_0(A))) =>  ( (r1_tarski(D, C) &  (r6_abcmiz_0(A, B, D) & k6_abcmiz_0(A, B, C)=k6_abcmiz_0(A, B, D)) )  => D=C) ) )  =>  (! [D] :  ( (v2_funct_1(D) & m2_finseq_1(D, u1_abcmiz_0(A)))  =>  ( (k2_relset_1(u1_abcmiz_0(A), D)=C & r5_abcmiz_0(A, B, D))  =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, k3_finseq_1(D)))  => r2_hidden(k4_tarski(k1_funct_1(k7_abcmiz_0(A, B, D), k1_nat_1(E, 1)), k1_funct_1(k7_abcmiz_0(A, B, D), E)), k11_abcmiz_0(A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_abcmiz_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) &  ( ~ (v4_abcmiz_0(A))  &  (v9_abcmiz_0(A) & l3_abcmiz_0(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_abcmiz_0(A))))  =>  ( (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_abcmiz_0(A))) =>  ( (r1_tarski(D, C) &  (r6_abcmiz_0(A, B, D) & k6_abcmiz_0(A, B, C)=k6_abcmiz_0(A, B, D)) )  => D=C) ) )  =>  (! [D] :  ( (v2_funct_1(D) & m2_finseq_1(D, u1_abcmiz_0(A)))  =>  ( (k2_relset_1(u1_abcmiz_0(A), D)=C & r5_abcmiz_0(A, B, D))  => m1_rewrite1(k4_finseq_5(u1_struct_0(A), k7_abcmiz_0(A, B, D)), k11_abcmiz_0(A))) ) ) ) ) ) ) ) ) ) ).
fof(t72_abcmiz_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) &  ( ~ (v4_abcmiz_0(A))  &  (v9_abcmiz_0(A) & l3_abcmiz_0(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_abcmiz_0(A))))  =>  (r6_abcmiz_0(A, B, C) => r1_rewrite1(k11_abcmiz_0(A), k6_abcmiz_0(A, B, C), B)) ) ) ) ) ) ) ).
fof(t73_abcmiz_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  (m1_rewrite1(C, B) =>  (r2_tarski(k1_funct_1(C, 1), A) => m2_finseq_1(C, A)) ) ) ) ) ) ) ).
fof(t74_abcmiz_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (r1_rewrite1(B, C, D) => r2_tarski(D, A)) ) ) ) ) ) ) ) ).
fof(t75_abcmiz_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  ( (v4_rewrite1(B) & v2_rewrite1(B))  =>  (! [C] :  (m1_subset_1(C, A) => r2_tarski(k2_rewrite1(B, C), A)) ) ) ) ) ) ) ).
fof(t76_abcmiz_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) &  ( ~ (v4_abcmiz_0(A))  &  (v9_abcmiz_0(A) & l3_abcmiz_0(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r1_rewrite1(k11_abcmiz_0(A), B, C) &  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_abcmiz_0(A))))  =>  ~ ( (r6_abcmiz_0(A, C, D) & B=k6_abcmiz_0(A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t77_abcmiz_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) &  ( ~ (v4_abcmiz_0(A))  &  (v9_abcmiz_0(A) &  (v14_abcmiz_0(A) & l3_abcmiz_0(A)) ) ) ) ) ) ) )  =>  (v8_rewrite1(k11_abcmiz_0(A)) & v4_rewrite1(k11_abcmiz_0(A))) ) ) ).
fof(d32_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) &  ( ~ (v4_abcmiz_0(A))  &  (v9_abcmiz_0(A) &  (v14_abcmiz_0(A) & l3_abcmiz_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k12_abcmiz_0(A, B)=k2_rewrite1(k11_abcmiz_0(A), B)) ) ) ) ).
fof(t78_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) &  ( ~ (v4_abcmiz_0(A))  &  (v9_abcmiz_0(A) &  (v14_abcmiz_0(A) & l3_abcmiz_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_rewrite1(k11_abcmiz_0(A), B, k12_abcmiz_0(A, B))) ) ) ) ).
fof(t79_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) &  ( ~ (v4_abcmiz_0(A))  &  (v9_abcmiz_0(A) &  (v14_abcmiz_0(A) & l3_abcmiz_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r3_orders_2(A, B, k12_abcmiz_0(A, B))) ) ) ) ).
fof(t81_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) &  ( ~ (v4_abcmiz_0(A))  &  (v9_abcmiz_0(A) &  (v14_abcmiz_0(A) & l3_abcmiz_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_abcmiz_0(A)) =>  ( (r4_abcmiz_0(A, B, D) & r3_orders_2(A, k5_abcmiz_0(A, B, D), k12_abcmiz_0(A, C)))  => r3_orders_2(A, B, k12_abcmiz_0(A, C))) ) ) ) ) ) ) ) ) ).
fof(t82_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) &  ( ~ (v4_abcmiz_0(A))  &  (v9_abcmiz_0(A) &  (v14_abcmiz_0(A) & l3_abcmiz_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_orders_2(A, B, C) => r3_orders_2(A, k12_abcmiz_0(A, B), k12_abcmiz_0(A, C))) ) ) ) ) ) ) ).
fof(t83_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) &  ( ~ (v4_abcmiz_0(A))  &  (v9_abcmiz_0(A) &  (v14_abcmiz_0(A) & l3_abcmiz_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_abcmiz_0(A)) =>  (r4_abcmiz_0(A, B, C) => k12_abcmiz_0(A, k5_abcmiz_0(A, B, C))=k12_abcmiz_0(A, B)) ) ) ) ) ) ) ).
fof(s1_abcmiz_0, axiom,  ( (? [A] :  (v1_finset_1(A) & p1_s1_abcmiz_0(A)) )  =>  (? [A] :  (v1_finset_1(A) &  (p1_s1_abcmiz_0(A) &  (! [B] :  ( (r1_tarski(B, A) & p1_s1_abcmiz_0(B))  => B=A) ) ) ) ) ) ).
fof(s2_abcmiz_0, axiom,  ( ( (! [A] :  (m1_subset_1(A, f1_s2_abcmiz_0) =>  (! [B] :  (m1_subset_1(B, f1_s2_abcmiz_0) =>  (r2_tarski(k1_domain_1(f1_s2_abcmiz_0, f1_s2_abcmiz_0, A, B), f2_s2_abcmiz_0) => p1_s2_abcmiz_0(A, B)) ) ) ) )  &  ( (! [A] :  (m1_subset_1(A, f1_s2_abcmiz_0) => p1_s2_abcmiz_0(A, A)) )  &  (! [A] :  (m1_subset_1(A, f1_s2_abcmiz_0) =>  (! [B] :  (m1_subset_1(B, f1_s2_abcmiz_0) =>  (! [C] :  (m1_subset_1(C, f1_s2_abcmiz_0) =>  ( (p1_s2_abcmiz_0(A, B) & p1_s2_abcmiz_0(B, C))  => p1_s2_abcmiz_0(A, C)) ) ) ) ) ) ) ) )  =>  (! [A] :  (m1_subset_1(A, f1_s2_abcmiz_0) =>  (! [B] :  (m1_subset_1(B, f1_s2_abcmiz_0) =>  (r1_rewrite1(f2_s2_abcmiz_0, A, B) => p1_s2_abcmiz_0(A, B)) ) ) ) ) ) ).
fof(abstractness_v3_abcmiz_0, axiom,  (! [A] :  (l1_abcmiz_0(A) =>  (v3_abcmiz_0(A) => A=g1_abcmiz_0(u1_abcmiz_0(A), u2_abcmiz_0(A))) ) ) ).
fof(existence_l1_abcmiz_0, axiom,  (? [A] : l1_abcmiz_0(A)) ).
fof(dt_g1_abcmiz_0, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (v3_abcmiz_0(g1_abcmiz_0(A, B)) & l1_abcmiz_0(g1_abcmiz_0(A, B))) ) ) ).
fof(free_g1_abcmiz_0, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (! [C, D] :  (g1_abcmiz_0(A, B)=g1_abcmiz_0(C, D) =>  (A=C & B=D) ) ) ) ) ).
fof(dt_u2_abcmiz_0, axiom,  (! [A] :  (l1_abcmiz_0(A) =>  (v1_funct_1(u2_abcmiz_0(A)) &  (v1_funct_2(u2_abcmiz_0(A), u1_abcmiz_0(A), u1_abcmiz_0(A)) & m1_subset_1(u2_abcmiz_0(A), k1_zfmisc_1(k2_zfmisc_1(u1_abcmiz_0(A), u1_abcmiz_0(A))))) ) ) ) ).
fof(dt_k1_abcmiz_0, axiom,  (! [A, B] :  ( (l1_abcmiz_0(A) & m1_subset_1(B, u1_abcmiz_0(A)))  => m1_subset_1(k1_abcmiz_0(A, B), u1_abcmiz_0(A))) ) ).
fof(abstractness_v7_abcmiz_0, axiom,  (! [A] :  (l2_abcmiz_0(A) =>  (v7_abcmiz_0(A) => A=g2_abcmiz_0(u1_struct_0(A), u1_abcmiz_0(A), u1_orders_2(A), u2_abcmiz_0(A), u3_abcmiz_0(A))) ) ) ).
fof(dt_l2_abcmiz_0, axiom,  (! [A] :  (l2_abcmiz_0(A) =>  (l1_orders_2(A) & l1_abcmiz_0(A)) ) ) ).
fof(existence_l2_abcmiz_0, axiom,  (? [A] : l2_abcmiz_0(A)) ).
fof(dt_g2_abcmiz_0, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, A, k5_finsub_1(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_finsub_1(B))))) ) ) )  =>  (v7_abcmiz_0(g2_abcmiz_0(A, B, C, D, E)) & l2_abcmiz_0(g2_abcmiz_0(A, B, C, D, E))) ) ) ).
fof(free_g2_abcmiz_0, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, A, k5_finsub_1(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_finsub_1(B))))) ) ) )  =>  (! [F, G, H, I, J] :  (g2_abcmiz_0(A, B, C, D, E)=g2_abcmiz_0(F, G, H, I, J) =>  (A=F &  (B=G &  (C=H &  (D=I & E=J) ) ) ) ) ) ) ) ).
fof(dt_u3_abcmiz_0, axiom,  (! [A] :  (l2_abcmiz_0(A) =>  (v1_funct_1(u3_abcmiz_0(A)) &  (v1_funct_2(u3_abcmiz_0(A), u1_struct_0(A), k5_finsub_1(u1_abcmiz_0(A))) & m1_subset_1(u3_abcmiz_0(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k5_finsub_1(u1_abcmiz_0(A)))))) ) ) ) ).
fof(dt_k2_abcmiz_0, axiom,  (! [A, B] :  ( (l2_abcmiz_0(A) & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k2_abcmiz_0(A, B), k1_zfmisc_1(u1_abcmiz_0(A)))) ) ).
fof(dt_k3_abcmiz_0, axiom,  (! [A, B] :  ( (l2_abcmiz_0(A) & m1_subset_1(B, u1_abcmiz_0(A)))  => m1_subset_1(k3_abcmiz_0(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k4_abcmiz_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_abcmiz_0(A))  & m1_subset_1(B, k1_zfmisc_1(u1_abcmiz_0(A))))  => m1_subset_1(k4_abcmiz_0(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k5_abcmiz_0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) & l2_abcmiz_0(A)) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_abcmiz_0(A))) )  => m1_subset_1(k5_abcmiz_0(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k6_abcmiz_0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) & l2_abcmiz_0(A)) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(u1_abcmiz_0(A)))) )  => m1_subset_1(k6_abcmiz_0(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k7_abcmiz_0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  ( ~ (v4_abcmiz_0(A))  & l2_abcmiz_0(A)) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_finseq_1(C, u1_abcmiz_0(A))) )  => m2_finseq_1(k7_abcmiz_0(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k8_abcmiz_0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  ( ~ (v4_abcmiz_0(A))  & l2_abcmiz_0(A)) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_finseq_1(C, u1_abcmiz_0(A))) )  => m1_subset_1(k8_abcmiz_0(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k9_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v4_abcmiz_0(A))  & l2_abcmiz_0(A)) )  =>  (v1_funct_1(k9_abcmiz_0(A)) &  (v1_funct_2(k9_abcmiz_0(A), u1_abcmiz_0(A), u1_struct_0(A)) & m1_subset_1(k9_abcmiz_0(A), k1_zfmisc_1(k2_zfmisc_1(u1_abcmiz_0(A), u1_struct_0(A))))) ) ) ) ).
fof(abstractness_v11_abcmiz_0, axiom,  (! [A] :  (l3_abcmiz_0(A) =>  (v11_abcmiz_0(A) => A=g3_abcmiz_0(u1_struct_0(A), u1_abcmiz_0(A), u1_orders_2(A), u2_abcmiz_0(A), u3_abcmiz_0(A), u4_abcmiz_0(A))) ) ) ).
fof(dt_l3_abcmiz_0, axiom,  (! [A] :  (l3_abcmiz_0(A) => l2_abcmiz_0(A)) ) ).
fof(existence_l3_abcmiz_0, axiom,  (? [A] : l3_abcmiz_0(A)) ).
fof(dt_g3_abcmiz_0, axiom,  (! [A, B, C, D, E, F] :  ( (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_finsub_1(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_finsub_1(B))))) )  &  (v1_funct_1(F) &  (v1_funct_2(F, B, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) ) )  =>  (v11_abcmiz_0(g3_abcmiz_0(A, B, C, D, E, F)) & l3_abcmiz_0(g3_abcmiz_0(A, B, C, D, E, F))) ) ) ).
fof(free_g3_abcmiz_0, axiom,  (! [A, B, C, D, E, F] :  ( (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_finsub_1(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_finsub_1(B))))) )  &  (v1_funct_1(F) &  (v1_funct_2(F, B, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) ) )  =>  (! [G, H, I, J, K, L] :  (g3_abcmiz_0(A, B, C, D, E, F)=g3_abcmiz_0(G, H, I, J, K, L) =>  (A=G &  (B=H &  (C=I &  (D=J &  (E=K & F=L) ) ) ) ) ) ) ) ) ).
fof(dt_u4_abcmiz_0, axiom,  (! [A] :  (l3_abcmiz_0(A) =>  (v1_funct_1(u4_abcmiz_0(A)) &  (v1_funct_2(u4_abcmiz_0(A), u1_abcmiz_0(A), u1_struct_0(A)) & m1_subset_1(u4_abcmiz_0(A), k1_zfmisc_1(k2_zfmisc_1(u1_abcmiz_0(A), u1_struct_0(A))))) ) ) ) ).
fof(dt_k10_abcmiz_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v4_abcmiz_0(A))  & l3_abcmiz_0(A)) )  & m1_subset_1(B, u1_abcmiz_0(A)))  => m1_subset_1(k10_abcmiz_0(A, B), u1_struct_0(A))) ) ).
fof(dt_k11_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  ( ~ (v4_abcmiz_0(A))  & l3_abcmiz_0(A)) ) ) )  => m1_subset_1(k11_abcmiz_0(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ).
fof(dt_f1_s2_abcmiz_0, axiom,  ~ (v1_xboole_0(f1_s2_abcmiz_0)) ).
fof(dt_f2_s2_abcmiz_0, axiom, m1_subset_1(f2_s2_abcmiz_0, k1_zfmisc_1(k2_zfmisc_1(f1_s2_abcmiz_0, f1_s2_abcmiz_0)))).
fof(dt_k12_abcmiz_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) &  ( ~ (v4_abcmiz_0(A))  &  (v9_abcmiz_0(A) &  (v14_abcmiz_0(A) & l3_abcmiz_0(A)) ) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k12_abcmiz_0(A, B), u1_struct_0(A))) ) ).
fof(t12_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_abcmiz_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_abcmiz_0(A)) => k3_abcmiz_0(A, B)=a_2_0_abcmiz_0(A, B)) ) ) ) ).
fof(t15_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v4_abcmiz_0(A))  & l2_abcmiz_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_abcmiz_0(A, B)=a_2_1_abcmiz_0(A, B)) ) ) ) ).
fof(t80_abcmiz_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_abcmiz_0(A) &  ( ~ (v4_abcmiz_0(A))  &  (v9_abcmiz_0(A) &  (v14_abcmiz_0(A) & l3_abcmiz_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (C=a_2_2_abcmiz_0(A, B) =>  (r1_yellow_0(A, C) & k12_abcmiz_0(A, B)=k1_yellow_0(A, C)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_abcmiz_0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l2_abcmiz_0(B))  & m1_subset_1(C, u1_abcmiz_0(B)))  =>  (r2_hidden(A, a_2_0_abcmiz_0(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & r2_tarski(C, k2_abcmiz_0(B, D))) ) ) ) ) ) ).
fof(fraenkel_a_2_1_abcmiz_0, axiom,  (! [A, B, C] :  ( ( ( ~ (v4_abcmiz_0(B))  & l2_abcmiz_0(B))  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_2_1_abcmiz_0(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_abcmiz_0(B)) &  (A=D & r2_tarski(C, k3_abcmiz_0(B, D))) ) ) ) ) ) ).
fof(fraenkel_a_2_2_abcmiz_0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v1_abcmiz_0(B) &  ( ~ (v4_abcmiz_0(B))  &  (v9_abcmiz_0(B) &  (v14_abcmiz_0(B) & l3_abcmiz_0(B)) ) ) ) ) ) ) ) )  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_2_2_abcmiz_0(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D &  (? [E] :  ( (v1_finset_1(E) & m1_subset_1(E, k1_zfmisc_1(u1_abcmiz_0(B))))  &  (r6_abcmiz_0(B, D, E) & k6_abcmiz_0(B, D, E)=C) ) ) ) ) ) ) ) ) ).
fof(cc1_abcmiz_1, axiom,  (! [A, B] :  ( ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  ~ (v1_xtuple_0(C)) ) ) ) ) ).
fof(cc2_abcmiz_1, axiom,  (! [A, B] :  ( ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (! [C] :  (m1_finseq_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) => v6_trees_3(C)) ) ) ) ).
fof(fc1_abcmiz_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_xboole_0(k1_abcmiz_1(A))) ) ).
fof(fc2_abcmiz_1, axiom,  ~ (v1_xboole_0(k2_abcmiz_1)) ).
fof(fc3_abcmiz_1, axiom,  (! [A] :  (m1_subset_1(A, k2_abcmiz_1) => v1_finset_1(k1_xtuple_0(A))) ) ).
fof(fc4_abcmiz_1, axiom,  ~ (v1_xboole_0(k4_abcmiz_1)) ).
fof(cc3_abcmiz_1, axiom,  (! [A] :  (m1_subset_1(A, k4_abcmiz_1) => v2_funct_1(A)) ) ).
fof(cc4_abcmiz_1, axiom,  (! [A] :  (l1_msualg_1(A) =>  ( (v1_instalg1(A) & v1_abcmiz_1(A))  =>  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & v1_instalg1(A)) ) ) ) ) ).
fof(fc5_abcmiz_1, axiom,  (v1_msualg_1(k11_abcmiz_1) &  (v1_instalg1(k11_abcmiz_1) & v1_abcmiz_1(k11_abcmiz_1)) ) ).
fof(rc1_abcmiz_1, axiom,  (? [A] :  (l1_msualg_1(A) &  (v1_msualg_1(A) &  (v1_instalg1(A) & v1_abcmiz_1(A)) ) ) ) ).
fof(fc6_abcmiz_1, axiom,  ~ (v1_xboole_0(k17_abcmiz_1)) ).
fof(fc7_abcmiz_1, axiom,  ~ (v1_xboole_0(k18_abcmiz_1)) ).
fof(fc8_abcmiz_1, axiom,  ~ (v1_xboole_0(k19_abcmiz_1)) ).
fof(fc9_abcmiz_1, axiom,  (v1_msualg_1(k11_abcmiz_1) &  (v1_instalg1(k11_abcmiz_1) &  ~ (v3_abcmiz_1(k11_abcmiz_1)) ) ) ).
fof(fc10_abcmiz_1, axiom,  (v1_msualg_1(k27_abcmiz_1) &  (v1_instalg1(k27_abcmiz_1) &  (v1_abcmiz_1(k27_abcmiz_1) & v3_abcmiz_1(k27_abcmiz_1)) ) ) ).
fof(rc2_abcmiz_1, axiom,  (? [A] :  (l1_msualg_1(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v14_struct_0(A) &  (v1_msualg_1(A) &  (v1_instalg1(A) &  (v1_abcmiz_1(A) & v3_abcmiz_1(A)) ) ) ) ) ) ) ) ).
fof(rc3_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (? [B] :  (m1_subset_1(B, u4_struct_0(A)) & v2_abcmiz_1(B, A)) ) ) ) ).
fof(fc11_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) & l1_msualg_1(A)) )  =>  (v1_relat_1(k28_abcmiz_1(A)) &  ( ~ (v3_relat_1(k28_abcmiz_1(A)))  &  (v4_relat_1(k28_abcmiz_1(A), u1_struct_0(A)) &  (v1_funct_1(k28_abcmiz_1(A)) & v1_partfun1(k28_abcmiz_1(A), u1_struct_0(A))) ) ) ) ) ) ).
fof(fc12_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (v3_msualg_1(k1_msafree3(A, k28_abcmiz_1(A)), A) & v4_msualg_1(k1_msafree3(A, k28_abcmiz_1(A)), A)) ) ) ).
fof(fc13_abcmiz_1, axiom,  (! [A, B] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  & m1_abcmiz_1(B, A, k13_abcmiz_1(A)))  => v5_abcmiz_1(k30_abcmiz_1(A, k15_abcmiz_1(A), B), A, k28_abcmiz_1(A))) ) ).
fof(rc4_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (? [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) &  ( ~ (v1_xtuple_0(B))  &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v3_trees_2(B) & v5_abcmiz_1(B, A, k28_abcmiz_1(A))) ) ) ) ) ) ) ) ) ) ).
fof(fc14_abcmiz_1, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  (m1_abcmiz_1(B, A, k13_abcmiz_1(A)) & m1_abcmiz_1(C, A, k12_abcmiz_1(A))) )  => v5_abcmiz_1(k31_abcmiz_1(A, k16_abcmiz_1(A), B, C), A, k28_abcmiz_1(A))) ) ).
fof(fc15_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  ( ~ (v1_xboole_0(k34_abcmiz_1(A)))  & v3_trees_3(k34_abcmiz_1(A))) ) ) ).
fof(fc16_abcmiz_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k2_abcmiz_1) &  (v1_instalg1(B) &  (v1_abcmiz_1(B) &  (v3_abcmiz_1(B) & l1_msualg_1(B)) ) ) )  =>  ~ (v5_abcmiz_1(k35_abcmiz_1(A, B), B, k28_abcmiz_1(B))) ) ) ).
fof(rc5_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (? [B] :  (m1_abcmiz_1(B, A, k13_abcmiz_1(A)) &  ( ~ (v1_xtuple_0(B))  &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v3_trees_2(B) & v6_abcmiz_1(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(fc17_abcmiz_1, axiom,  (! [A, B] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  (v6_abcmiz_1(B, A) & m1_abcmiz_1(B, A, k13_abcmiz_1(A))) )  =>  ( ~ (v6_abcmiz_1(k37_abcmiz_1(A, B), A))  & v7_abcmiz_1(k37_abcmiz_1(A, B), A)) ) ) ).
fof(rc6_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (? [B] :  (m1_abcmiz_1(B, A, k13_abcmiz_1(A)) &  ( ~ (v1_xtuple_0(B))  &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v3_trees_2(B) &  ( ~ (v6_abcmiz_1(B, A))  & v7_abcmiz_1(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc18_abcmiz_1, axiom,  (! [A, B] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  (v7_abcmiz_1(B, A) & m1_abcmiz_1(B, A, k13_abcmiz_1(A))) )  => v6_abcmiz_1(k37_abcmiz_1(A, B), A)) ) ).
fof(cc5_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_abcmiz_1(B, A, k13_abcmiz_1(A)) =>  (v6_abcmiz_1(B, A) =>  ( ~ (v7_abcmiz_1(B, A))  & v8_abcmiz_1(B, A)) ) ) ) ) ) ).
fof(cc6_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_abcmiz_1(B, A, k13_abcmiz_1(A)) =>  (v7_abcmiz_1(B, A) =>  ( ~ (v6_abcmiz_1(B, A))  & v8_abcmiz_1(B, A)) ) ) ) ) ) ).
fof(rc7_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (? [B] :  (m1_abcmiz_1(B, A, k13_abcmiz_1(A)) &  ( ~ (v1_xtuple_0(B))  &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v3_trees_2(B) & v8_abcmiz_1(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(fc19_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  ( ~ (v1_xboole_0(k38_abcmiz_1(A)))  & v3_trees_3(k38_abcmiz_1(A))) ) ) ).
fof(cc7_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_abcmiz_1(B, A, k13_abcmiz_1(A)) =>  ( ( ~ (v6_abcmiz_1(B, A))  & v8_abcmiz_1(B, A))  =>  (v7_abcmiz_1(B, A) & v8_abcmiz_1(B, A)) ) ) ) ) ) ).
fof(cc8_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_abcmiz_1(B, A, k13_abcmiz_1(A)) =>  ( ( ~ (v7_abcmiz_1(B, A))  & v8_abcmiz_1(B, A))  =>  (v6_abcmiz_1(B, A) & v8_abcmiz_1(B, A)) ) ) ) ) ) ).
fof(rc8_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (? [B] :  (m1_abcmiz_1(B, A, k13_abcmiz_1(A)) &  ( ~ (v1_xtuple_0(B))  &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v3_trees_2(B) &  (v6_abcmiz_1(B, A) & v8_abcmiz_1(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc9_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (? [B] :  (m1_abcmiz_1(B, A, k13_abcmiz_1(A)) &  ( ~ (v1_xtuple_0(B))  &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v3_trees_2(B) &  (v7_abcmiz_1(B, A) & v8_abcmiz_1(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc20_abcmiz_1, axiom,  (! [A, B] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  (v8_abcmiz_1(B, A) & m1_abcmiz_1(B, A, k13_abcmiz_1(A))) )  => v8_abcmiz_1(k37_abcmiz_1(A, B), A)) ) ).
fof(rc10_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (? [B] :  (m1_abcmiz_1(B, A, k12_abcmiz_1(A)) &  ( ~ (v1_xtuple_0(B))  &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v3_trees_2(B) & v9_abcmiz_1(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(fc21_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  ~ (v1_xboole_0(k39_abcmiz_1(A))) ) ) ).
fof(cc9_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m3_abcmiz_1(B, A) => v1_xtuple_0(B)) ) ) ) ).
fof(fc22_abcmiz_1, axiom,  (! [A, B] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  & m3_abcmiz_1(B, A))  => v1_finset_1(k1_xtuple_0(B))) ) ).
fof(fc23_abcmiz_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  & m1_subset_1(D, k1_msaterm(A, C))) ) )  => v1_finset_1(k1_funct_1(k4_msafree3(A, C, D), B))) ) ).
fof(fc24_abcmiz_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) &  ( (v1_relat_1(C) &  ( ~ (v3_relat_1(C))  &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  & m1_subset_1(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C))))) ) )  => v1_finset_1(k1_funct_1(k2_msafree3(A, D), B))) ) ).
fof(fc25_abcmiz_1, axiom,  (! [A, B] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  & m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))))  => v1_finset_1(k45_abcmiz_1(A, B))) ) ).
fof(fc26_abcmiz_1, axiom,  (! [A, B] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  & m3_abcmiz_1(B, A))  => v1_finset_1(k47_abcmiz_1(A, B))) ) ).
fof(rc11_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (? [B] :  (m1_abcmiz_1(B, A, k12_abcmiz_1(A)) &  ( ~ (v1_xtuple_0(B))  &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v3_trees_2(B) &  (v4_abcmiz_1(B, A, k28_abcmiz_1(A)) & v9_abcmiz_1(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc12_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (? [B] :  (m1_abcmiz_1(B, A, k13_abcmiz_1(A)) &  ( ~ (v1_xtuple_0(B))  &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v3_trees_2(B) &  (v4_abcmiz_1(B, A, k28_abcmiz_1(A)) & v8_abcmiz_1(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc27_abcmiz_1, axiom,  (! [A, B] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  (v4_abcmiz_1(B, A, k28_abcmiz_1(A)) &  (v9_abcmiz_1(B, A) & m1_abcmiz_1(B, A, k12_abcmiz_1(A))) ) )  => v10_abcmiz_1(k4_tarski(k1_subset_1(k38_abcmiz_1(A)), B), A)) ) ).
fof(rc13_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (? [B] :  (m3_abcmiz_1(B, A) &  (v1_xtuple_0(B) &  ( ~ (v1_xboole_0(B))  & v10_abcmiz_1(B, A)) ) ) ) ) ) ).
fof(fc28_abcmiz_1, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  ( (v10_abcmiz_1(B, A) & m3_abcmiz_1(B, A))  &  (v4_abcmiz_1(C, A, k28_abcmiz_1(A)) &  (v8_abcmiz_1(C, A) & m1_abcmiz_1(C, A, k13_abcmiz_1(A))) ) ) )  => v10_abcmiz_1(k43_abcmiz_1(A, B, C), A)) ) ).
fof(fc29_abcmiz_1, axiom,  ( ~ (v2_struct_0(k49_abcmiz_1))  &  (v1_orders_2(k49_abcmiz_1) &  (v3_orders_2(k49_abcmiz_1) &  (v4_orders_2(k49_abcmiz_1) &  (v5_orders_2(k49_abcmiz_1) &  (v1_lattice3(k49_abcmiz_1) & v2_lattice3(k49_abcmiz_1)) ) ) ) ) ) ).
fof(ie1_abcmiz_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k49_abcmiz_1)) & m1_subset_1(B, u1_struct_0(k49_abcmiz_1)))  => k13_lattice3(k49_abcmiz_1, A, B)=k3_xboole_0(A, B)) ) ).
fof(ie2_abcmiz_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k49_abcmiz_1)) & m1_subset_1(B, u1_struct_0(k49_abcmiz_1)))  => k12_lattice3(k49_abcmiz_1, A, B)=k2_xboole_0(A, B)) ) ).
fof(fc30_abcmiz_1, axiom,  ( ~ (v2_struct_0(k49_abcmiz_1))  &  (v1_orders_2(k49_abcmiz_1) &  (v3_orders_2(k49_abcmiz_1) &  (v4_orders_2(k49_abcmiz_1) &  (v5_orders_2(k49_abcmiz_1) & v24_waybel_0(k49_abcmiz_1)) ) ) ) ) ).
fof(fc31_abcmiz_1, axiom,  (! [A, B] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  (v10_abcmiz_1(B, A) & m3_abcmiz_1(B, A)) )  =>  (v1_orders_2(g1_orders_2(k1_tarski(B), k6_partfun1(k1_tarski(B)))) & v11_abcmiz_1(g1_orders_2(k1_tarski(B), k6_partfun1(k1_tarski(B))))) ) ) ).
fof(fc32_abcmiz_1, axiom,  (v1_msualg_1(k27_abcmiz_1) &  (v1_instalg1(k27_abcmiz_1) &  (v1_abcmiz_1(k27_abcmiz_1) & v12_abcmiz_1(k27_abcmiz_1)) ) ) ).
fof(fc33_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) & l1_msualg_1(A)) )  =>  (v1_relat_1(k28_abcmiz_1(A)) &  (v4_relat_1(k28_abcmiz_1(A), u1_struct_0(A)) &  (v1_funct_1(k28_abcmiz_1(A)) &  (v1_partfun1(k28_abcmiz_1(A), u1_struct_0(A)) & v13_abcmiz_1(k28_abcmiz_1(A), A)) ) ) ) ) ) ).
fof(cc10_abcmiz_1, axiom,  (! [A] :  (l1_msualg_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v13_abcmiz_1(B, A)) ) ) ) ) ) ) ) ).
fof(rc14_abcmiz_1, axiom,  (! [A] :  (l1_msualg_1(A) =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v13_abcmiz_1(B, A)) ) ) ) ) ) ) ).
fof(rc15_abcmiz_1, axiom,  (? [A] :  (l1_msualg_1(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v14_struct_0(A) &  (v1_msualg_1(A) &  (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & v12_abcmiz_1(A)) ) ) ) ) ) ) ) ) ).
fof(cc11_abcmiz_1, axiom,  (! [A] :  ( (v12_abcmiz_1(A) & l1_msualg_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v13_abcmiz_1(B, A)) ) ) ) ) ) ) ) ).
fof(cc12_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))) =>  ( (v1_xboole_0(B) & v1_funct_1(B))  =>  (v1_funct_1(B) & v15_abcmiz_1(B, A)) ) ) ) ) ) ).
fof(rc16_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))) &  (v1_xboole_0(B) &  (v1_relat_1(B) &  (v4_relat_1(B, k2_abcmiz_1) &  (v5_relat_1(B, k34_abcmiz_1(A)) &  (v1_funct_1(B) &  (v1_funcop_1(B) & v2_funcop_1(B)) ) ) ) ) ) ) ) ) ) ).
fof(fc34_abcmiz_1, axiom,  (! [A, B] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  & m1_subset_1(B, k1_zfmisc_1(k2_abcmiz_1)))  =>  (v1_funct_1(k54_abcmiz_1(A, B)) &  (v2_funct_1(k54_abcmiz_1(A, B)) & v15_abcmiz_1(k54_abcmiz_1(A, B), A)) ) ) ) ).
fof(fc35_abcmiz_1, axiom,  (! [A, B] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  (v1_xboole_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_abcmiz_1))) )  =>  (v1_xboole_0(k54_abcmiz_1(A, B)) & v1_funct_1(k54_abcmiz_1(A, B))) ) ) ).
fof(fc36_abcmiz_1, axiom,  (! [A, B] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A))))) )  => v14_abcmiz_1(k55_abcmiz_1(A, B), A, k28_abcmiz_1(A))) ) ).
fof(fc37_abcmiz_1, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  &  (v6_abcmiz_1(C, A) & m1_abcmiz_1(C, A, k13_abcmiz_1(A))) ) )  => v6_abcmiz_1(k56_abcmiz_1(A, B, C), A)) ) ).
fof(fc38_abcmiz_1, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  &  (v7_abcmiz_1(C, A) & m1_abcmiz_1(C, A, k13_abcmiz_1(A))) ) )  => v7_abcmiz_1(k56_abcmiz_1(A, B, C), A)) ) ).
fof(fc39_abcmiz_1, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  &  (v9_abcmiz_1(C, A) & m1_abcmiz_1(C, A, k12_abcmiz_1(A))) ) )  => v9_abcmiz_1(k56_abcmiz_1(A, B, C), A)) ) ).
fof(fc40_abcmiz_1, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  &  (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(k38_abcmiz_1(A)))) ) )  => v1_finset_1(k63_abcmiz_1(A, B, C))) ) ).
fof(fc41_abcmiz_1, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  ( (v1_funct_1(B) &  (v15_abcmiz_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A))))) )  &  (v1_funct_1(C) &  (v15_abcmiz_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A))))) ) ) )  =>  (v1_funct_1(k65_abcmiz_1(A, B, C)) & v15_abcmiz_1(k65_abcmiz_1(A, B, C), A)) ) ) ).
fof(t1_abcmiz_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => r1_tarski(k1_funct_1(B, A), k3_card_3(B))) ) ) ).
fof(t2_abcmiz_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (k3_card_3(B)=k1_xboole_0 => k1_funct_1(B, A)=k1_xboole_0) ) ) ) ).
fof(t3_abcmiz_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (A=k4_tarski(B, C) => B=C) ) ) ) ) ).
fof(t4_abcmiz_1, axiom,  (! [A] :  (! [B] : r1_tarski(k7_relset_1(A, A, k6_partfun1(A), B), B)) ) ).
fof(t5_abcmiz_1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_dtconstr(C, u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B)) =>  ~ (v1_xtuple_0(C)) ) ) ) ) ) ) ).
fof(t6_abcmiz_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r2_tarski(A, k3_finseq_2(k1_tarski(C))) &  (r2_tarski(B, k3_finseq_2(k1_tarski(C))) & k1_card_1(A)=k1_card_1(B)) )  => A=B) ) ) ) ).
fof(t7_abcmiz_1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  ~ ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  ~ ( (C=k1_trees_4(k4_tarski(E, D)) & r2_tarski(E, k1_funct_1(B, D))) ) ) ) )  &  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m2_finseq_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  ~ ( (C=k4_trees_4(k4_tarski(D, u1_struct_0(A)), E) &  (k3_finseq_1(E)=k3_finseq_1(k1_msualg_1(A, D)) &  (v6_trees_3(E) & m1_msaterm(E, A, k2_pboole(u1_struct_0(A), B, k8_funcop_1(k1_zfmisc_1(k4_ordinal1), u1_struct_0(A), k6_domain_1(k4_ordinal1, k5_numbers))), k2_msaterm(A, k2_pboole(u1_struct_0(A), B, k8_funcop_1(k1_zfmisc_1(k4_ordinal1), u1_struct_0(A), k6_domain_1(k4_ordinal1, k5_numbers))), D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_abcmiz_1, axiom,  (! [A] :  (! [B] :  (B=k1_abcmiz_1(A) <=>  (r1_tarski(A, B) &  ( (! [C] :  (! [D] :  (r2_hidden(k4_tarski(C, D), B) => r1_tarski(C, B)) ) )  &  (! [C] :  ( (r1_tarski(A, C) &  (! [D] :  (! [E] :  (r2_hidden(k4_tarski(D, E), C) => r1_tarski(D, C)) ) ) )  => r1_tarski(B, C)) ) ) ) ) ) ) ).
fof(t8_abcmiz_1, axiom, k1_abcmiz_1(k1_xboole_0)=k1_xboole_0).
fof(t9_abcmiz_1, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) => r1_tarski(k1_abcmiz_1(A), k1_abcmiz_1(B))) ) ) ).
fof(t11_abcmiz_1, axiom,  (! [A] :  (! [B] : k1_abcmiz_1(k2_xboole_0(A, B))=k2_xboole_0(k1_abcmiz_1(A), k1_abcmiz_1(B))) ) ).
fof(t12_abcmiz_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( (! [B] :  (m1_subset_1(B, A) => k1_abcmiz_1(B)=B) )  => k1_abcmiz_1(k1_setfam_1(A))=k1_setfam_1(A)) ) ) ).
fof(t13_abcmiz_1, axiom,  (! [A] :  (! [B] : k1_abcmiz_1(k3_xboole_0(k1_abcmiz_1(A), k1_abcmiz_1(B)))=k3_xboole_0(k1_abcmiz_1(A), k1_abcmiz_1(B))) ) ).
fof(t17_abcmiz_1, axiom,  (! [A] :  ( (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_abcmiz_1)))  =>  (! [B] :  (v7_ordinal1(B) => r2_hidden(k4_tarski(k1_abcmiz_1(A), B), k2_abcmiz_1)) ) ) ) ).
fof(t19_abcmiz_1, axiom, k1_abcmiz_1(k2_abcmiz_1)=k2_abcmiz_1).
fof(t20_abcmiz_1, axiom,  (! [A] :  (v1_finset_1(k6_classes1(A)) => v1_finset_1(A)) ) ).
fof(t21_abcmiz_1, axiom,  (! [A] : k6_classes1(k1_abcmiz_1(A))=k6_classes1(A)) ).
fof(t22_abcmiz_1, axiom,  (! [A] :  ( (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k4_classes1(k4_ordinal1))))  => r2_tarski(A, k4_classes1(k4_ordinal1))) ) ).
fof(t23_abcmiz_1, axiom, r1_tarski(k2_abcmiz_1, k4_classes1(k4_ordinal1))).
fof(t24_abcmiz_1, axiom,  (! [A] :  ( (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_abcmiz_1)))  =>  (v1_finset_1(k1_abcmiz_1(A)) & m1_subset_1(k1_abcmiz_1(A), k1_zfmisc_1(k2_abcmiz_1))) ) ) ).
fof(t25_abcmiz_1, axiom,  (! [A] :  (v7_ordinal1(A) => r2_hidden(k4_tarski(k1_xboole_0, A), k2_abcmiz_1)) ) ).
fof(t26_abcmiz_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_abcmiz_1)) => k1_abcmiz_1(k1_tarski(k4_tarski(k1_abcmiz_1(B), A)))=k2_xboole_0(k1_abcmiz_1(B), k1_tarski(k4_tarski(k1_abcmiz_1(B), A)))) ) ) ) ).
fof(t27_abcmiz_1, axiom,  (! [A] :  (m1_subset_1(A, k2_abcmiz_1) => k1_abcmiz_1(k6_domain_1(k2_abcmiz_1, A))=k4_subset_1(k2_abcmiz_1, k3_abcmiz_1(A), k6_domain_1(k2_abcmiz_1, A))) ) ).
fof(t28_abcmiz_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k2_abcmiz_1) => r2_hidden(k4_tarski(k4_subset_1(k2_abcmiz_1, k3_abcmiz_1(B), k6_domain_1(k2_abcmiz_1, B)), A), k2_abcmiz_1)) ) ) ) ).
fof(d3_abcmiz_1, axiom,  (! [A] :  (m1_finseq_2(A, k2_abcmiz_1) =>  (A=k4_abcmiz_1 <=>  (! [B] :  (m2_finseq_1(B, k2_abcmiz_1) =>  (r2_tarski(B, A) <=>  (v2_funct_1(B) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => r1_tarski(k1_xfamily(k1_funct_1(B, C)), k2_relset_1(k2_abcmiz_1, k5_relat_1(B, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t29_abcmiz_1, axiom, r2_tarski(k2_pre_poly(k2_abcmiz_1), k4_abcmiz_1)).
fof(t30_abcmiz_1, axiom,  (! [A] :  ( (v2_funct_1(A) & m2_finseq_1(A, k2_abcmiz_1))  =>  (m2_finseq_2(A, k2_abcmiz_1, k4_abcmiz_1) <=>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k2_abcmiz_1) =>  ( (r2_tarski(B, k4_finseq_1(A)) & C=k1_funct_1(A, B))  =>  (! [D] :  (m1_subset_1(D, k2_abcmiz_1) =>  ~ ( (r2_tarski(D, k3_abcmiz_1(C)) &  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_tarski(E, k4_finseq_1(A)) &  ( ~ (r1_xxreal_0(B, E))  & D=k1_funct_1(A, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_abcmiz_1, axiom,  (! [A] :  (m2_finseq_2(A, k2_abcmiz_1, k4_abcmiz_1) =>  (! [B] :  (m1_subset_1(B, k2_abcmiz_1) =>  (m2_finseq_2(k8_finseq_1(k2_abcmiz_1, A, k3_pre_poly(k2_abcmiz_1, B)), k2_abcmiz_1, k4_abcmiz_1) <=>  ( ~ (r2_tarski(B, k2_relset_1(k2_abcmiz_1, A)))  & r1_tarski(k3_abcmiz_1(B), k2_relset_1(k2_abcmiz_1, A))) ) ) ) ) ) ).
fof(t32_abcmiz_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (m2_finseq_2(k7_finseq_1(A, B), k2_abcmiz_1, k4_abcmiz_1) =>  (m2_finseq_2(A, k2_abcmiz_1, k4_abcmiz_1) & m2_finseq_1(B, k2_abcmiz_1)) ) ) ) ) ) ).
fof(t33_abcmiz_1, axiom,  (! [A] :  (m2_finseq_2(A, k2_abcmiz_1, k4_abcmiz_1) => k1_abcmiz_1(k2_relset_1(k2_abcmiz_1, A))=k2_relset_1(k2_abcmiz_1, A)) ) ).
fof(t34_abcmiz_1, axiom,  (! [A] :  (m1_subset_1(A, k2_abcmiz_1) =>  (m2_finseq_2(k3_pre_poly(k2_abcmiz_1, A), k2_abcmiz_1, k4_abcmiz_1) <=> k3_abcmiz_1(A)=k1_xboole_0) ) ) ).
fof(t35_abcmiz_1, axiom,  (! [A] :  (m1_subset_1(A, k2_abcmiz_1) =>  (! [B] :  (m1_subset_1(B, k2_abcmiz_1) =>  (m2_finseq_2(k4_pre_poly(k2_abcmiz_1, A, B), k2_abcmiz_1, k4_abcmiz_1) <=>  (k3_abcmiz_1(A)=k1_xboole_0 &  ( ~ (A=B)  & r1_tarski(k3_abcmiz_1(B), k6_domain_1(k2_abcmiz_1, A))) ) ) ) ) ) ) ).
fof(t36_abcmiz_1, axiom,  (! [A] :  (m1_subset_1(A, k2_abcmiz_1) =>  (! [B] :  (m1_subset_1(B, k2_abcmiz_1) =>  (! [C] :  (m1_subset_1(C, k2_abcmiz_1) =>  (m2_finseq_2(k11_finseq_1(A, B, C), k2_abcmiz_1, k4_abcmiz_1) <=>  (k3_abcmiz_1(A)=k1_xboole_0 &  ( ~ (A=B)  &  (r1_tarski(k3_abcmiz_1(B), k6_domain_1(k2_abcmiz_1, A)) &  ( ~ (A=C)  &  ( ~ (B=C)  & r1_tarski(k3_abcmiz_1(C), k7_domain_1(k2_abcmiz_1, A, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_abcmiz_1, axiom, k6_abcmiz_1=k5_numbers).
fof(d5_abcmiz_1, axiom, k7_abcmiz_1=1).
fof(d6_abcmiz_1, axiom, k8_abcmiz_1=2).
fof(d7_abcmiz_1, axiom, k9_abcmiz_1=k5_numbers).
fof(d8_abcmiz_1, axiom, k10_abcmiz_1=1).
fof(d9_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  =>  (v1_abcmiz_1(A) <=>  (u1_struct_0(A)=k1_enumset1(k6_abcmiz_1, k7_abcmiz_1, k8_abcmiz_1) &  (r1_tarski(k2_tarski(k9_abcmiz_1, k10_abcmiz_1), u4_struct_0(A)) &  (k1_funct_1(u1_msualg_1(A), k9_abcmiz_1)=k10_finseq_1(k7_abcmiz_1, k6_abcmiz_1) &  (k1_funct_1(u1_msualg_1(A), k10_abcmiz_1)=k9_finseq_1(k7_abcmiz_1) &  (k1_funct_1(u2_msualg_1(A), k9_abcmiz_1)=k6_abcmiz_1 &  (k1_funct_1(u2_msualg_1(A), k10_abcmiz_1)=k7_abcmiz_1 &  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  ~ ( ( ~ (B=k9_abcmiz_1)  &  ( ~ (B=k10_abcmiz_1)  &  ~ (r2_tarski(k1_funct_1(u1_msualg_1(A), B), k3_finseq_2(k1_tarski(k8_abcmiz_1)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_abcmiz_1, axiom,  (! [A] :  ( (v1_msualg_1(A) &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (A=k11_abcmiz_1 <=>  (v1_abcmiz_1(A) & u4_struct_0(A)=k2_tarski(k9_abcmiz_1, k10_abcmiz_1)) ) ) ) ).
fof(d11_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (v2_abcmiz_1(B, A) <=>  ( ~ (B=k9_abcmiz_1)  &  ~ (B=k10_abcmiz_1) ) ) ) ) ) ) ).
fof(t37_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (v2_abcmiz_1(B, A) => k1_msualg_1(A, B)=k2_finseq_2(k3_finseq_1(k1_msualg_1(A, B)), k8_abcmiz_1)) ) ) ) ) ).
fof(d12_abcmiz_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  =>  (v3_abcmiz_1(A) <=>  (? [B] :  (m1_subset_1(B, u4_struct_0(A)) &  (? [C] :  (m1_subset_1(C, u4_struct_0(A)) &  (k2_msualg_1(A, B)=k6_abcmiz_1 &  (k1_msualg_1(A, B)=k1_xboole_0 &  (k2_msualg_1(A, C)=k7_abcmiz_1 & k1_msualg_1(A, C)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ).
fof(d13_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) & l1_msualg_1(A)) )  => k12_abcmiz_1(A)=k6_abcmiz_1) ) ).
fof(d14_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) & l1_msualg_1(A)) )  => k13_abcmiz_1(A)=k7_abcmiz_1) ) ).
fof(d15_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) & l1_msualg_1(A)) )  => k14_abcmiz_1(A)=k8_abcmiz_1) ) ).
fof(d16_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) & l1_msualg_1(A)) )  => k15_abcmiz_1(A)=k10_abcmiz_1) ) ).
fof(d17_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) & l1_msualg_1(A)) )  => k16_abcmiz_1(A)=k9_abcmiz_1) ) ).
fof(t38_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) & l1_msualg_1(A)) )  =>  (k1_msualg_1(A, k15_abcmiz_1(A))=k3_pre_poly(u1_struct_0(A), k13_abcmiz_1(A)) &  (k2_msualg_1(A, k15_abcmiz_1(A))=k13_abcmiz_1(A) &  (k1_msualg_1(A, k16_abcmiz_1(A))=k4_pre_poly(u1_struct_0(A), k13_abcmiz_1(A), k12_abcmiz_1(A)) & k2_msualg_1(A, k16_abcmiz_1(A))=k12_abcmiz_1(A)) ) ) ) ) ).
fof(d18_abcmiz_1, axiom, k17_abcmiz_1=k2_zfmisc_1(k1_tarski(k6_abcmiz_1), k2_zfmisc_1(k4_abcmiz_1, k4_ordinal1))).
fof(d19_abcmiz_1, axiom, k18_abcmiz_1=k2_zfmisc_1(k1_tarski(k7_abcmiz_1), k2_zfmisc_1(k4_abcmiz_1, k4_ordinal1))).
fof(d20_abcmiz_1, axiom, k19_abcmiz_1=k2_zfmisc_1(k1_tarski(k8_abcmiz_1), k2_zfmisc_1(k4_abcmiz_1, k4_ordinal1))).
fof(d21_abcmiz_1, axiom, k20_abcmiz_1=k2_xboole_0(k2_xboole_0(k17_abcmiz_1, k18_abcmiz_1), k19_abcmiz_1)).
fof(t39_abcmiz_1, axiom, r1_subset_1(k2_tarski(k9_abcmiz_1, k10_abcmiz_1), k20_abcmiz_1)).
fof(d22_abcmiz_1, axiom,  (! [A] :  (m1_subset_1(A, k20_abcmiz_1) => k25_abcmiz_1(A)=k21_abcmiz_1(k24_abcmiz_1(A))) ) ).
fof(d23_abcmiz_1, axiom,  (! [A] :  (m1_subset_1(A, k20_abcmiz_1) => k26_abcmiz_1(A)=k22_abcmiz_1(k24_abcmiz_1(A))) ) ).
fof(t40_abcmiz_1, axiom,  (! [A] :  (m1_subset_1(A, k20_abcmiz_1) =>  ( (k23_abcmiz_1(A)=k6_abcmiz_1 => r2_tarski(A, k17_abcmiz_1))  &  ( (r2_tarski(A, k17_abcmiz_1) => k23_abcmiz_1(A)=k6_abcmiz_1)  &  ( (k23_abcmiz_1(A)=k7_abcmiz_1 => r2_tarski(A, k18_abcmiz_1))  &  ( (r2_tarski(A, k18_abcmiz_1) => k23_abcmiz_1(A)=k7_abcmiz_1)  &  ( (k23_abcmiz_1(A)=k8_abcmiz_1 => r2_tarski(A, k19_abcmiz_1))  &  (r2_tarski(A, k19_abcmiz_1) => k23_abcmiz_1(A)=k8_abcmiz_1) ) ) ) ) ) ) ) ).
fof(d24_abcmiz_1, axiom,  (! [A] :  ( (v1_msualg_1(A) &  (v1_instalg1(A) &  (v1_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (A=k27_abcmiz_1 <=>  (u4_struct_0(A)=k2_xboole_0(k2_tarski(k9_abcmiz_1, k10_abcmiz_1), k20_abcmiz_1) &  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (v2_abcmiz_1(B, A) =>  (k3_funct_2(u4_struct_0(A), u1_struct_0(A), u2_msualg_1(A), B)=k1_xfamily(B) & k4_card_1(k3_funct_2(u4_struct_0(A), k3_finseq_2(u1_struct_0(A)), u1_msualg_1(A), B))=k1_card_1(k1_xfamily(k2_xfamily(B)))) ) ) ) ) ) ) ) ).
fof(d25_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (B=k28_abcmiz_1(A) <=>  (k1_funct_1(B, k6_abcmiz_1)=k1_xboole_0 &  (k1_funct_1(B, k7_abcmiz_1)=k1_xboole_0 & k1_funct_1(B, k8_abcmiz_1)=k2_abcmiz_1) ) ) ) ) ) ) ).
fof(d26_abcmiz_1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (v4_abcmiz_1(C, A, B) <=> k3_card_3(k2_msafree3(A, C))=k1_xboole_0) ) ) ) ) ) ) ).
fof(d27_abcmiz_1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (v5_abcmiz_1(C, A, B) <=> r2_tarski(k1_funct_1(C, k1_xboole_0), k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A))))) ) ) ) ) ) ) ).
fof(d28_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (m1_abcmiz_1(C, A, B) <=> r2_tarski(C, k1_funct_1(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))), B))) ) ) ) ) ) ) ).
fof(t41_abcmiz_1, axiom,  (! [A] :  (! [B] :  ( (v1_instalg1(B) &  (v1_abcmiz_1(B) &  (v3_abcmiz_1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (m1_abcmiz_1(A, B, C) <=> r2_tarski(A, k1_funct_1(u3_msualg_1(B, k1_msafree3(B, k28_abcmiz_1(B))), C))) ) ) ) ) ) ).
fof(d29_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v2_abcmiz_1(B, A) & m1_subset_1(B, u4_struct_0(A)))  =>  (k3_finseq_1(k1_msualg_1(A, B))=k5_numbers => k29_abcmiz_1(A, B)=k4_trees_4(k4_tarski(B, u1_struct_0(A)), k1_xboole_0)) ) ) ) ) ).
fof(t42_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (k3_finseq_1(k1_msualg_1(A, B))=1 =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  ( (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (D=k1_funct_1(k1_msualg_1(A, B), 1) & m1_abcmiz_1(C, A, D)) ) )  => m1_abcmiz_1(k4_trees_4(k4_tarski(B, u1_struct_0(A)), k3_pre_poly(k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), C)), A, k2_msualg_1(A, B))) ) ) ) ) ) ) ) ).
fof(d30_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (k3_finseq_1(k1_msualg_1(A, B))=1 =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  ( (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (D=k1_funct_1(k1_msualg_1(A, B), 1) & m1_abcmiz_1(C, A, D)) ) )  => k30_abcmiz_1(A, B, C)=k4_trees_4(k4_tarski(B, u1_struct_0(A)), k3_pre_poly(k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), C))) ) ) ) ) ) ) ) ).
fof(t43_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_abcmiz_1(B, A, k13_abcmiz_1(A)) =>  (m1_abcmiz_1(k30_abcmiz_1(A, k15_abcmiz_1(A), B), A, k13_abcmiz_1(A)) & k30_abcmiz_1(A, k15_abcmiz_1(A), B)=k4_trees_4(k4_tarski(k10_abcmiz_1, u1_struct_0(A)), k3_pre_poly(k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), B))) ) ) ) ) ).
fof(t44_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_abcmiz_1(B, A, k13_abcmiz_1(A)) =>  (! [C] :  (m1_abcmiz_1(C, A, k13_abcmiz_1(A)) =>  (k30_abcmiz_1(A, k15_abcmiz_1(A), B)=k30_abcmiz_1(A, k15_abcmiz_1(A), C) => B=C) ) ) ) ) ) ) ).
fof(t45_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (k3_finseq_1(k1_msualg_1(A, B))=2 =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (! [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  ( (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (E=k1_funct_1(k1_msualg_1(A, B), 1) &  (F=k1_funct_1(k1_msualg_1(A, B), 2) &  (m1_abcmiz_1(C, A, E) & m1_abcmiz_1(D, A, F)) ) ) ) ) ) )  => m1_abcmiz_1(k4_trees_4(k4_tarski(B, u1_struct_0(A)), k4_pre_poly(k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), C, D)), A, k2_msualg_1(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(d31_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (k3_finseq_1(k1_msualg_1(A, B))=2 =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (! [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  ( (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (E=k1_funct_1(k1_msualg_1(A, B), 1) &  (F=k1_funct_1(k1_msualg_1(A, B), 2) &  (m1_abcmiz_1(C, A, E) & m1_abcmiz_1(D, A, F)) ) ) ) ) ) )  => k31_abcmiz_1(A, B, C, D)=k4_trees_4(k4_tarski(B, u1_struct_0(A)), k4_pre_poly(k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t46_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_abcmiz_1(B, A, k13_abcmiz_1(A)) =>  (! [C] :  (m1_abcmiz_1(C, A, k12_abcmiz_1(A)) =>  (m1_abcmiz_1(k31_abcmiz_1(A, k16_abcmiz_1(A), B, C), A, k12_abcmiz_1(A)) & k31_abcmiz_1(A, k16_abcmiz_1(A), B, C)=k4_trees_4(k4_tarski(k9_abcmiz_1, u1_struct_0(A)), k4_pre_poly(k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), B, C))) ) ) ) ) ) ) ).
fof(t47_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_abcmiz_1(B, A, k13_abcmiz_1(A)) =>  (! [C] :  (m1_abcmiz_1(C, A, k13_abcmiz_1(A)) =>  (! [D] :  (m1_abcmiz_1(D, A, k12_abcmiz_1(A)) =>  (! [E] :  (m1_abcmiz_1(E, A, k12_abcmiz_1(A)) =>  (k31_abcmiz_1(A, k16_abcmiz_1(A), B, D)=k31_abcmiz_1(A, k16_abcmiz_1(A), C, E) =>  (B=C & D=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d32_abcmiz_1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (? [C] :  (m1_subset_1(C, u4_struct_0(A)) & k2_msualg_1(A, C)=B) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (m2_abcmiz_1(C, A, B) <=> k2_msualg_1(A, C)=B) ) ) ) ) ) ) ) ).
fof(t48_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (B=C)  =>  (! [D] :  (m1_abcmiz_1(D, A, B) =>  (! [E] :  (m1_abcmiz_1(E, A, C) =>  ~ (D=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d33_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  => k34_abcmiz_1(A)=k1_funct_1(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))), k14_abcmiz_1(A))) ) ).
fof(t49_abcmiz_1, axiom,  (! [A] :  (! [B] :  ( (v1_instalg1(B) &  (v1_abcmiz_1(B) &  (v3_abcmiz_1(B) & l1_msualg_1(B)) ) )  =>  (m1_abcmiz_1(A, B, k14_abcmiz_1(B)) <=> r2_tarski(A, k34_abcmiz_1(B))) ) ) ) ).
fof(d34_abcmiz_1, axiom,  (! [A] :  (m1_subset_1(A, k2_abcmiz_1) =>  (! [B] :  ( (v1_instalg1(B) &  (v1_abcmiz_1(B) &  (v3_abcmiz_1(B) & l1_msualg_1(B)) ) )  => k35_abcmiz_1(A, B)=k1_trees_4(k4_tarski(A, k8_abcmiz_1))) ) ) ) ).
fof(t50_abcmiz_1, axiom,  (! [A] :  (m1_subset_1(A, k2_abcmiz_1) =>  (! [B] :  (m1_subset_1(B, k2_abcmiz_1) =>  (! [C] :  ( (v1_instalg1(C) &  (v1_abcmiz_1(C) &  (v3_abcmiz_1(C) & l1_msualg_1(C)) ) )  =>  (! [D] :  ( (v1_instalg1(D) &  (v1_abcmiz_1(D) &  (v3_abcmiz_1(D) & l1_msualg_1(D)) ) )  =>  (k35_abcmiz_1(A, C)=k35_abcmiz_1(B, D) => A=B) ) ) ) ) ) ) ) ) ).
fof(t51_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v2_abcmiz_1(B, A) & m1_subset_1(B, u4_struct_0(A)))  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) & v6_trees_3(C)) ) )  =>  (m1_subset_1(k4_trees_4(k4_tarski(B, u1_struct_0(A)), C), k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) <=>  (k3_finseq_1(C)=k3_finseq_1(k1_msualg_1(A, B)) & r2_tarski(C, k3_finseq_2(k34_abcmiz_1(A)))) ) ) ) ) ) ) ) ).
fof(d35_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v2_abcmiz_1(B, A) & m1_subset_1(B, u4_struct_0(A)))  =>  (! [C] :  (m1_trees_4(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), k34_abcmiz_1(A)) =>  (k3_finseq_1(C)=k3_finseq_1(k1_msualg_1(A, B)) => k36_abcmiz_1(A, B, C)=k4_trees_4(k4_tarski(B, u1_struct_0(A)), C)) ) ) ) ) ) ) ).
fof(t52_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v2_abcmiz_1(B, A) & m1_subset_1(B, u4_struct_0(A)))  =>  (! [C] :  (m1_trees_4(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), k34_abcmiz_1(A)) =>  (k3_finseq_1(C)=k3_finseq_1(k1_msualg_1(A, B)) => m1_abcmiz_1(k36_abcmiz_1(A, B, C), A, k2_msualg_1(A, B))) ) ) ) ) ) ) ).
fof(t53_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  ~ ( ( (! [C] :  (m1_subset_1(C, k2_abcmiz_1) =>  ~ (B=k35_abcmiz_1(C, A)) ) )  &  ( (! [C] :  ( (v2_abcmiz_1(C, A) & m1_subset_1(C, u4_struct_0(A)))  =>  (! [D] :  (m1_trees_4(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), k34_abcmiz_1(A)) =>  ~ ( (k3_finseq_1(D)=k3_finseq_1(k1_msualg_1(A, C)) & B=k36_abcmiz_1(A, C, D)) ) ) ) ) )  &  ( (! [C] :  (m1_abcmiz_1(C, A, k13_abcmiz_1(A)) =>  ~ (B=k30_abcmiz_1(A, k32_abcmiz_1(A), C)) ) )  &  (! [C] :  (m1_abcmiz_1(C, A, k13_abcmiz_1(A)) =>  (! [D] :  (m1_abcmiz_1(D, A, k12_abcmiz_1(A)) =>  ~ (B=k31_abcmiz_1(A, k33_abcmiz_1(A), C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v2_abcmiz_1(B, A) & m1_subset_1(B, u4_struct_0(A)))  =>  (! [C] :  (m1_abcmiz_1(C, A, k13_abcmiz_1(A)) =>  (! [D] :  (m1_trees_4(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), k34_abcmiz_1(A)) =>  ~ ( (k3_finseq_1(D)=k3_finseq_1(k1_msualg_1(A, B)) & k36_abcmiz_1(A, B, D)=k30_abcmiz_1(A, k32_abcmiz_1(A), C)) ) ) ) ) ) ) ) ) ) ).
fof(t55_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v2_abcmiz_1(B, A) & m1_subset_1(B, u4_struct_0(A)))  =>  (! [C] :  (m1_abcmiz_1(C, A, k13_abcmiz_1(A)) =>  (! [D] :  (m1_abcmiz_1(D, A, k12_abcmiz_1(A)) =>  (! [E] :  (m1_trees_4(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), k34_abcmiz_1(A)) =>  ~ ( (k3_finseq_1(E)=k3_finseq_1(k1_msualg_1(A, B)) & k36_abcmiz_1(A, B, E)=k31_abcmiz_1(A, k33_abcmiz_1(A), C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_abcmiz_1(B, A, k13_abcmiz_1(A)) =>  (! [C] :  (m1_abcmiz_1(C, A, k13_abcmiz_1(A)) =>  (! [D] :  (m1_abcmiz_1(D, A, k12_abcmiz_1(A)) =>  ~ (k30_abcmiz_1(A, k32_abcmiz_1(A), B)=k31_abcmiz_1(A, k33_abcmiz_1(A), C, D)) ) ) ) ) ) ) ) ) ).
fof(t57_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  ~ ( (k1_funct_1(B, k1_xboole_0)=k4_tarski(k10_abcmiz_1, u1_struct_0(A)) &  (! [C] :  (m1_abcmiz_1(C, A, k13_abcmiz_1(A)) =>  ~ (B=k30_abcmiz_1(A, k32_abcmiz_1(A), C)) ) ) ) ) ) ) ) ) ).
fof(t58_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  ~ ( (k1_funct_1(B, k1_xboole_0)=k4_tarski(k9_abcmiz_1, u1_struct_0(A)) &  (! [C] :  (m1_abcmiz_1(C, A, k13_abcmiz_1(A)) =>  (! [D] :  (m1_abcmiz_1(D, A, k12_abcmiz_1(A)) =>  ~ (B=k31_abcmiz_1(A, k33_abcmiz_1(A), C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d36_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_abcmiz_1(B, A, k13_abcmiz_1(A)) =>  ( ( (? [C] :  (m1_abcmiz_1(C, A, k13_abcmiz_1(A)) & B=k30_abcmiz_1(A, k32_abcmiz_1(A), C)) )  => k37_abcmiz_1(A, B)=k5_trees_2(B, k3_pre_poly(k4_ordinal1, k5_numbers)))  &  ( (! [C] :  (m1_abcmiz_1(C, A, k13_abcmiz_1(A)) =>  ~ (B=k30_abcmiz_1(A, k32_abcmiz_1(A), C)) ) )  => k37_abcmiz_1(A, B)=k30_abcmiz_1(A, k32_abcmiz_1(A), B)) ) ) ) ) ) ).
fof(d37_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_abcmiz_1(B, A, k13_abcmiz_1(A)) =>  (v6_abcmiz_1(B, A) <=>  (! [C] :  (m1_abcmiz_1(C, A, k13_abcmiz_1(A)) =>  ~ (B=k30_abcmiz_1(A, k32_abcmiz_1(A), C)) ) ) ) ) ) ) ) ).
fof(t59_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v6_abcmiz_1(B, A) & m1_abcmiz_1(B, A, k13_abcmiz_1(A)))  => k37_abcmiz_1(A, B)=k30_abcmiz_1(A, k32_abcmiz_1(A), B)) ) ) ) ).
fof(d38_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_abcmiz_1(B, A, k13_abcmiz_1(A)) =>  (v7_abcmiz_1(B, A) <=>  (? [C] :  (m1_abcmiz_1(C, A, k13_abcmiz_1(A)) &  (v6_abcmiz_1(C, A) & B=k30_abcmiz_1(A, k32_abcmiz_1(A), C)) ) ) ) ) ) ) ) ).
fof(t60_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v6_abcmiz_1(B, A))  & m1_abcmiz_1(B, A, k13_abcmiz_1(A)))  =>  (? [C] :  (m1_abcmiz_1(C, A, k13_abcmiz_1(A)) &  (B=k30_abcmiz_1(A, k32_abcmiz_1(A), C) & k37_abcmiz_1(A, B)=C) ) ) ) ) ) ) ).
fof(t61_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v7_abcmiz_1(B, A) & m1_abcmiz_1(B, A, k13_abcmiz_1(A)))  =>  (? [C] :  ( (v6_abcmiz_1(C, A) & m1_abcmiz_1(C, A, k13_abcmiz_1(A)))  &  (B=k30_abcmiz_1(A, k32_abcmiz_1(A), C) & k37_abcmiz_1(A, B)=C) ) ) ) ) ) ) ).
fof(t62_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v6_abcmiz_1(B, A))  & m1_abcmiz_1(B, A, k13_abcmiz_1(A)))  => k30_abcmiz_1(A, k32_abcmiz_1(A), k37_abcmiz_1(A, B))=B) ) ) ) ).
fof(d39_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_abcmiz_1(B, A, k13_abcmiz_1(A)) =>  (v8_abcmiz_1(B, A) <=>  (v6_abcmiz_1(B, A) | v7_abcmiz_1(B, A)) ) ) ) ) ) ).
fof(t63_abcmiz_1, axiom,  (! [A] :  (! [B] :  ( (v1_instalg1(B) &  (v1_abcmiz_1(B) &  (v3_abcmiz_1(B) & l1_msualg_1(B)) ) )  =>  ( (v8_abcmiz_1(A, B) & m1_abcmiz_1(A, B, k13_abcmiz_1(B)))  <=> r2_tarski(A, k38_abcmiz_1(B))) ) ) ) ).
fof(t64_abcmiz_1, axiom,  (! [A] :  (! [B] :  ( (v1_instalg1(B) &  (v1_abcmiz_1(B) &  (v3_abcmiz_1(B) & l1_msualg_1(B)) ) )  =>  ( (v8_abcmiz_1(A, B) & m1_abcmiz_1(A, B, k13_abcmiz_1(B)))  <=>  ( (v6_abcmiz_1(A, B) & m1_abcmiz_1(A, B, k13_abcmiz_1(B)))  |  (v7_abcmiz_1(A, B) & m1_abcmiz_1(A, B, k13_abcmiz_1(B))) ) ) ) ) ) ).
fof(t65_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v6_abcmiz_1(B, A) &  (v8_abcmiz_1(B, A) & m1_abcmiz_1(B, A, k13_abcmiz_1(A))) )  =>  (? [C] :  ( (v2_abcmiz_1(C, A) & m1_subset_1(C, u4_struct_0(A)))  &  (k2_msualg_1(A, C)=k13_abcmiz_1(A) &  (? [D] :  (m1_trees_4(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), k34_abcmiz_1(A)) &  (k3_finseq_1(D)=k3_finseq_1(k1_msualg_1(A, C)) & B=k36_abcmiz_1(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t66_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_trees_4(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), k34_abcmiz_1(A)) =>  (! [C] :  ( (v2_abcmiz_1(C, A) & m1_subset_1(C, u4_struct_0(A)))  =>  ( (k2_msualg_1(A, C)=k13_abcmiz_1(A) & k3_finseq_1(B)=k3_finseq_1(k1_msualg_1(A, C)))  =>  (v6_abcmiz_1(k36_abcmiz_1(A, C, B), A) &  (v8_abcmiz_1(k36_abcmiz_1(A, C, B), A) & m1_abcmiz_1(k36_abcmiz_1(A, C, B), A, k13_abcmiz_1(A))) ) ) ) ) ) ) ) ) ).
fof(t67_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v8_abcmiz_1(B, A) & m1_abcmiz_1(B, A, k13_abcmiz_1(A)))  => k37_abcmiz_1(A, k37_abcmiz_1(A, B))=B) ) ) ) ).
fof(t68_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v8_abcmiz_1(B, A) & m1_abcmiz_1(B, A, k13_abcmiz_1(A)))  =>  (! [C] :  ( (v8_abcmiz_1(C, A) & m1_abcmiz_1(C, A, k13_abcmiz_1(A)))  =>  (k37_abcmiz_1(A, B)=k37_abcmiz_1(A, C) => B=C) ) ) ) ) ) ) ).
fof(t69_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v8_abcmiz_1(B, A) & m1_abcmiz_1(B, A, k13_abcmiz_1(A)))  =>  ~ (k37_abcmiz_1(A, B)=B) ) ) ) ) ).
fof(d41_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_abcmiz_1(B, A, k12_abcmiz_1(A)) =>  (v9_abcmiz_1(B, A) <=>  (! [C] :  (m1_abcmiz_1(C, A, k13_abcmiz_1(A)) =>  (! [D] :  (m1_abcmiz_1(D, A, k12_abcmiz_1(A)) =>  ~ (B=k31_abcmiz_1(A, k33_abcmiz_1(A), C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t70_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  ~ ( (k2_msualg_1(A, B)=k6_abcmiz_1 &  (k1_msualg_1(A, B)=k1_xboole_0 &  (! [C] :  (m1_abcmiz_1(C, A, k12_abcmiz_1(A)) =>  ~ ( (C=k1_trees_4(k4_tarski(B, u1_struct_0(A))) & v9_abcmiz_1(C, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  ~ ( (k2_msualg_1(A, B)=k7_abcmiz_1 &  (k1_msualg_1(A, B)=k1_xboole_0 &  (! [C] :  (m1_abcmiz_1(C, A, k13_abcmiz_1(A)) =>  ~ ( (C=k1_trees_4(k4_tarski(B, u1_struct_0(A))) & v6_abcmiz_1(C, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(d43_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m3_abcmiz_1(B, A) <=> r2_tarski(B, k39_abcmiz_1(A))) ) ) ) ).
fof(t72_abcmiz_1, axiom,  (! [A] :  (! [B] :  ( (v1_instalg1(B) &  (v1_abcmiz_1(B) &  (v3_abcmiz_1(B) & l1_msualg_1(B)) ) )  =>  (m3_abcmiz_1(A, B) <=>  (? [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(k38_abcmiz_1(B))))  &  (? [D] :  ( (v9_abcmiz_1(D, B) & m1_abcmiz_1(D, B, k12_abcmiz_1(B)))  & A=k1_domain_1(k1_zfmisc_1(k38_abcmiz_1(B)), k3_card_3(u3_msualg_1(B, k1_msafree3(B, k28_abcmiz_1(B)))), C, D)) ) ) ) ) ) ) ) ).
fof(t73_abcmiz_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_instalg1(C) &  (v1_abcmiz_1(C) &  (v3_abcmiz_1(C) & l1_msualg_1(C)) ) )  =>  (m3_abcmiz_1(k4_tarski(A, B), C) <=>  ( (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k38_abcmiz_1(C))))  &  (v9_abcmiz_1(B, C) & m1_abcmiz_1(B, C, k12_abcmiz_1(C))) ) ) ) ) ) ) ).
fof(t74_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v9_abcmiz_1(B, A) & m1_abcmiz_1(B, A, k12_abcmiz_1(A)))  =>  (? [C] :  ( (v2_abcmiz_1(C, A) & m1_subset_1(C, u4_struct_0(A)))  &  (k2_msualg_1(A, C)=k12_abcmiz_1(A) &  (? [D] :  (m1_trees_4(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), k34_abcmiz_1(A)) &  (k3_finseq_1(D)=k3_finseq_1(k1_msualg_1(A, C)) & B=k36_abcmiz_1(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t75_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_trees_4(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), k34_abcmiz_1(A)) =>  (! [C] :  ( (v2_abcmiz_1(C, A) & m1_subset_1(C, u4_struct_0(A)))  =>  ( (k2_msualg_1(A, C)=k12_abcmiz_1(A) & k3_finseq_1(B)=k3_finseq_1(k1_msualg_1(A, C)))  =>  (v9_abcmiz_1(k36_abcmiz_1(A, C, B), A) & m1_abcmiz_1(k36_abcmiz_1(A, C, B), A, k12_abcmiz_1(A))) ) ) ) ) ) ) ) ).
fof(t76_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (r1_subset_1(k34_abcmiz_1(A), k38_abcmiz_1(A)) &  (r1_subset_1(k34_abcmiz_1(A), k39_abcmiz_1(A)) & r1_subset_1(k39_abcmiz_1(A), k38_abcmiz_1(A))) ) ) ) ).
fof(t77_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ~ ( (m1_abcmiz_1(B, A, k14_abcmiz_1(A)) &  (v8_abcmiz_1(B, A) & m1_abcmiz_1(B, A, k13_abcmiz_1(A))) ) )  &  ( ~ ( (m1_abcmiz_1(B, A, k14_abcmiz_1(A)) & m3_abcmiz_1(B, A)) )  &  ~ ( (m3_abcmiz_1(B, A) &  (v8_abcmiz_1(B, A) & m1_abcmiz_1(B, A, k13_abcmiz_1(A))) ) ) ) ) ) ) ) ).
fof(t78_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v9_abcmiz_1(B, A) & m1_abcmiz_1(B, A, k12_abcmiz_1(A)))  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(k38_abcmiz_1(A))))  =>  (k41_abcmiz_1(A, k40_abcmiz_1(A, C, B))=C & k42_abcmiz_1(A, k40_abcmiz_1(A, C, B))=B) ) ) ) ) ) ) ).
fof(t79_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k38_abcmiz_1(A))))  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(k38_abcmiz_1(A))))  =>  (! [D] :  ( (v9_abcmiz_1(D, A) & m1_abcmiz_1(D, A, k12_abcmiz_1(A)))  =>  (! [E] :  ( (v9_abcmiz_1(E, A) & m1_abcmiz_1(E, A, k12_abcmiz_1(A)))  =>  (k40_abcmiz_1(A, B, D)=k40_abcmiz_1(A, C, E) =>  (B=C & D=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t80_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m3_abcmiz_1(B, A) => B=k40_abcmiz_1(A, k41_abcmiz_1(A, B), k42_abcmiz_1(A, B))) ) ) ) ).
fof(t81_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m3_abcmiz_1(B, A) =>  (! [C] :  (m3_abcmiz_1(C, A) =>  ( (k41_abcmiz_1(A, B)=k41_abcmiz_1(A, C) & k42_abcmiz_1(A, B)=k42_abcmiz_1(A, C))  => B=C) ) ) ) ) ) ) ).
fof(d44_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m3_abcmiz_1(B, A) =>  (! [C] :  ( (v8_abcmiz_1(C, A) & m1_abcmiz_1(C, A, k13_abcmiz_1(A)))  => k43_abcmiz_1(A, B, C)=k4_tarski(k2_xboole_0(k6_domain_1(k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), C), k41_abcmiz_1(A, B)), k42_abcmiz_1(A, B))) ) ) ) ) ) ).
fof(t82_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m3_abcmiz_1(B, A) =>  (! [C] :  ( (v8_abcmiz_1(C, A) & m1_abcmiz_1(C, A, k13_abcmiz_1(A)))  =>  (k41_abcmiz_1(A, k43_abcmiz_1(A, B, C))=k2_xboole_0(k6_domain_1(k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), C), k41_abcmiz_1(A, B)) & k42_abcmiz_1(A, k43_abcmiz_1(A, B, C))=k42_abcmiz_1(A, B)) ) ) ) ) ) ) ).
fof(t83_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m3_abcmiz_1(B, A) =>  (! [C] :  ( (v8_abcmiz_1(C, A) & m1_abcmiz_1(C, A, k13_abcmiz_1(A)))  => k43_abcmiz_1(A, k43_abcmiz_1(A, B, C), C)=k43_abcmiz_1(A, B, C)) ) ) ) ) ) ).
fof(t84_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m3_abcmiz_1(B, A) =>  (! [C] :  ( (v8_abcmiz_1(C, A) & m1_abcmiz_1(C, A, k13_abcmiz_1(A)))  =>  (! [D] :  ( (v8_abcmiz_1(D, A) & m1_abcmiz_1(D, A, k13_abcmiz_1(A)))  => k43_abcmiz_1(A, k43_abcmiz_1(A, B, D), C)=k43_abcmiz_1(A, k43_abcmiz_1(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(d45_abcmiz_1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))), k9_setfam_1(k1_funct_1(B, C))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))), k9_setfam_1(k1_funct_1(B, C)))))) )  =>  (D=k44_abcmiz_1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) => k3_funct_2(k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))), k9_setfam_1(k1_funct_1(B, C)), D, E)=k1_funct_1(k2_msafree3(A, E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d46_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) => k45_abcmiz_1(A, B)=k1_funct_1(k2_msafree3(A, B), k14_abcmiz_1(A))) ) ) ) ).
fof(d47_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) => k46_abcmiz_1(A, B)=k1_abcmiz_1(k45_abcmiz_1(A, B))) ) ) ) ).
fof(t85_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) => k1_abcmiz_1(k46_abcmiz_1(A, B))=k46_abcmiz_1(A, B)) ) ) ) ).
fof(t86_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k2_abcmiz_1) => k45_abcmiz_1(A, k35_abcmiz_1(B, A))=k6_domain_1(k2_abcmiz_1, B)) ) ) ) ).
fof(t87_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k2_abcmiz_1) => k46_abcmiz_1(A, k35_abcmiz_1(B, A))=k4_subset_1(k2_abcmiz_1, k6_domain_1(k2_abcmiz_1, B), k3_abcmiz_1(B))) ) ) ) ).
fof(t92_abcmiz_1, axiom,  (! [A] :  (l1_msualg_1(A) =>  (! [B] : r6_pboole(u1_struct_0(A), k2_msafree3(A, k4_trees_4(k4_tarski(B, u1_struct_0(A)), k1_xboole_0)), k1_pboole(u1_struct_0(A)))) ) ) ).
fof(t93_abcmiz_1, axiom,  (! [A] :  (l1_msualg_1(A) =>  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v3_trees_2(C)) )  => r6_pboole(u1_struct_0(A), k2_msafree3(A, k4_trees_4(k4_tarski(B, u1_struct_0(A)), k9_finseq_1(C))), k2_msafree3(A, C))) ) ) ) ) ).
fof(t94_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_abcmiz_1(B, A, k13_abcmiz_1(A)) => k45_abcmiz_1(A, k30_abcmiz_1(A, k32_abcmiz_1(A), B))=k45_abcmiz_1(A, B)) ) ) ) ).
fof(t95_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_abcmiz_1(B, A, k13_abcmiz_1(A)) => k46_abcmiz_1(A, k30_abcmiz_1(A, k32_abcmiz_1(A), B))=k46_abcmiz_1(A, B)) ) ) ) ).
fof(t96_abcmiz_1, axiom,  (! [A] :  (l1_msualg_1(A) =>  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v3_trees_2(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v3_trees_2(D)) )  => r6_pboole(u1_struct_0(A), k2_msafree3(A, k4_trees_4(k4_tarski(B, u1_struct_0(A)), k10_finseq_1(C, D))), k2_pboole(u1_struct_0(A), k2_msafree3(A, C), k2_msafree3(A, D)))) ) ) ) ) ) ) ).
fof(t97_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_abcmiz_1(B, A, k12_abcmiz_1(A)) =>  (! [C] :  (m1_abcmiz_1(C, A, k13_abcmiz_1(A)) => k45_abcmiz_1(A, k31_abcmiz_1(A, k33_abcmiz_1(A), C, B))=k4_subset_1(k2_abcmiz_1, k45_abcmiz_1(A, C), k45_abcmiz_1(A, B))) ) ) ) ) ) ).
fof(t98_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_abcmiz_1(B, A, k12_abcmiz_1(A)) =>  (! [C] :  (m1_abcmiz_1(C, A, k13_abcmiz_1(A)) => k46_abcmiz_1(A, k31_abcmiz_1(A, k33_abcmiz_1(A), C, B))=k4_subset_1(k2_abcmiz_1, k46_abcmiz_1(A, C), k46_abcmiz_1(A, B))) ) ) ) ) ) ).
fof(t99_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_abcmiz_1(B, A, k13_abcmiz_1(A)) => k45_abcmiz_1(A, k37_abcmiz_1(A, B))=k45_abcmiz_1(A, B)) ) ) ) ).
fof(t100_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_abcmiz_1(B, A, k13_abcmiz_1(A)) => k46_abcmiz_1(A, k37_abcmiz_1(A, B))=k46_abcmiz_1(A, B)) ) ) ) ).
fof(d48_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m3_abcmiz_1(B, A) => k47_abcmiz_1(A, B)=k2_xboole_0(k5_setfam_1(k1_funct_1(k28_abcmiz_1(A), k14_abcmiz_1(A)), k7_relset_1(k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), k9_setfam_1(k1_funct_1(k28_abcmiz_1(A), k14_abcmiz_1(A))), k44_abcmiz_1(A, k28_abcmiz_1(A), k14_abcmiz_1(A)), k41_abcmiz_1(A, B))), k45_abcmiz_1(A, k42_abcmiz_1(A, B)))) ) ) ) ).
fof(d49_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m3_abcmiz_1(B, A) => k48_abcmiz_1(A, B)=k1_abcmiz_1(k47_abcmiz_1(A, B))) ) ) ) ).
fof(t101_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m3_abcmiz_1(B, A) => k1_abcmiz_1(k48_abcmiz_1(A, B))=k48_abcmiz_1(A, B)) ) ) ) ).
fof(t102_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m3_abcmiz_1(B, A) =>  (! [C] :  ( (v8_abcmiz_1(C, A) & m1_abcmiz_1(C, A, k13_abcmiz_1(A)))  => k47_abcmiz_1(A, k43_abcmiz_1(A, B, C))=k4_subset_1(k2_abcmiz_1, k45_abcmiz_1(A, C), k47_abcmiz_1(A, B))) ) ) ) ) ) ).
fof(t103_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m3_abcmiz_1(B, A) =>  (! [C] :  ( (v8_abcmiz_1(C, A) & m1_abcmiz_1(C, A, k13_abcmiz_1(A)))  => k48_abcmiz_1(A, k43_abcmiz_1(A, B, C))=k4_subset_1(k2_abcmiz_1, k46_abcmiz_1(A, C), k48_abcmiz_1(A, B))) ) ) ) ) ) ).
fof(t106_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v9_abcmiz_1(B, A) & m1_abcmiz_1(B, A, k12_abcmiz_1(A)))  => k47_abcmiz_1(A, k40_abcmiz_1(A, k1_subset_1(k38_abcmiz_1(A)), B))=k45_abcmiz_1(A, B)) ) ) ) ).
fof(t107_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (v4_abcmiz_1(B, A, k28_abcmiz_1(A)) <=> k45_abcmiz_1(A, B)=k1_xboole_0) ) ) ) ) ).
fof(d50_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m3_abcmiz_1(B, A) =>  (v10_abcmiz_1(B, A) <=> k47_abcmiz_1(A, B)=k1_xboole_0) ) ) ) ) ).
fof(t108_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_abcmiz_1(B, A, k28_abcmiz_1(A)) &  (v9_abcmiz_1(B, A) & m1_abcmiz_1(B, A, k12_abcmiz_1(A))) )  => v10_abcmiz_1(k40_abcmiz_1(A, k1_subset_1(k38_abcmiz_1(A)), B), A)) ) ) ) ).
fof(t109_abcmiz_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k49_abcmiz_1)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k49_abcmiz_1)) =>  (r3_orders_2(k49_abcmiz_1, A, B) <=> r1_tarski(B, A)) ) ) ) ) ).
fof(t110_abcmiz_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k49_abcmiz_1)) <=>  ( (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_abcmiz_1)))  & k1_abcmiz_1(A)=A) ) ) ).
fof(t111_abcmiz_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k49_abcmiz_1)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k49_abcmiz_1)) =>  (k13_lattice3(k49_abcmiz_1, A, B)=k3_xboole_0(A, B) & k12_lattice3(k49_abcmiz_1, A, B)=k2_xboole_0(A, B)) ) ) ) ) ).
fof(t112_abcmiz_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k49_abcmiz_1))))  =>  (r1_yellow_0(k49_abcmiz_1, A) & k1_yellow_0(k49_abcmiz_1, A)=k1_setfam_1(A)) ) ) ).
fof(t113_abcmiz_1, axiom, k4_yellow_0(k49_abcmiz_1)=k1_xboole_0).
fof(d52_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k39_abcmiz_1(A), u1_struct_0(k49_abcmiz_1)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k39_abcmiz_1(A), u1_struct_0(k49_abcmiz_1))))) )  =>  (B=k50_abcmiz_1(A) <=>  (! [C] :  (m3_abcmiz_1(C, A) => k1_funct_1(B, C)=k48_abcmiz_1(A, C)) ) ) ) ) ) ) ).
fof(d53_abcmiz_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (v11_abcmiz_1(A) <=>  (? [B] :  ( (v1_instalg1(B) &  (v1_abcmiz_1(B) &  (v3_abcmiz_1(B) & l1_msualg_1(B)) ) )  &  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k49_abcmiz_1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k49_abcmiz_1))))) )  &  (r1_tarski(u1_struct_0(A), k39_abcmiz_1(B)) &  (C=k2_partfun1(k39_abcmiz_1(B), u1_struct_0(k49_abcmiz_1), k50_abcmiz_1(B), u1_struct_0(A)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => r4_waybel_0(A, k49_abcmiz_1, C, k7_domain_1(u1_struct_0(A), D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d54_abcmiz_1, axiom,  (! [A] :  (l1_msualg_1(A) =>  (v12_abcmiz_1(A) <=> r1_tarski(u1_struct_0(A), k2_relset_1(u1_struct_0(A), u2_msualg_1(A)))) ) ) ).
fof(d55_abcmiz_1, axiom,  (! [A] :  (l1_msualg_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (v13_abcmiz_1(B, A) <=> r1_tarski(k8_relat_1(B, k1_tarski(k1_xboole_0)), k2_relset_1(u1_struct_0(A), u2_msualg_1(A)))) ) ) ) ) ).
fof(t114_abcmiz_1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (v13_abcmiz_1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (k1_funct_1(B, C)=k1_xboole_0 &  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  ~ (k2_msualg_1(A, D)=C) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t115_abcmiz_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lang1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_lang1(B))  =>  (r1_relset_1(u1_struct_0(A), k3_finseq_2(u1_struct_0(A)), u1_lang1(A), u1_lang1(B)) =>  (r1_tarski(k52_abcmiz_1(A), k52_abcmiz_1(B)) &  (r1_tarski(k9_subset_1(u1_struct_0(B), u1_struct_0(A), k51_abcmiz_1(B)), k51_abcmiz_1(A)) &  (r1_tarski(k51_abcmiz_1(A), k51_abcmiz_1(B)) => r1_tarski(u1_struct_0(A), u1_struct_0(B))) ) ) ) ) ) ) ) ).
fof(t116_abcmiz_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lang1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_lang1(B))  =>  ( (r1_tarski(k51_abcmiz_1(A), k51_abcmiz_1(B)) & r1_relset_1(u1_struct_0(A), k3_finseq_2(u1_struct_0(A)), u1_lang1(A), u1_lang1(B)))  => r1_tarski(k4_dtconstr(A), k4_dtconstr(B))) ) ) ) ) ).
fof(t117_abcmiz_1, axiom,  (! [A] :  (l1_msualg_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) )  =>  ( (r2_pboole(u1_struct_0(A), B, C) & v13_abcmiz_1(B, A))  => v13_abcmiz_1(C, A)) ) ) ) ) ) ) ).
fof(t118_abcmiz_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r2_pboole(A, B, C) => r1_tarski(k3_card_3(k3_msafree(A, B)), k3_card_3(k3_msafree(A, C)))) ) ) ) ) ) ).
fof(t119_abcmiz_1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) )  =>  (r2_pboole(u1_struct_0(A), B, C) => r1_tarski(u1_struct_0(k5_msafree(A, B)), u1_struct_0(k5_msafree(A, C)))) ) ) ) ) ) ) ).
fof(t120_abcmiz_1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (v13_abcmiz_1(B, A) =>  (k52_abcmiz_1(k5_msafree(A, B))=k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A))) & k51_abcmiz_1(k5_msafree(A, B))=k3_card_3(k3_msafree(u1_struct_0(A), B))) ) ) ) ) ) ).
fof(t121_abcmiz_1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) )  =>  ( (r2_pboole(u1_struct_0(A), B, C) & v13_abcmiz_1(B, A))  =>  (r1_tarski(k51_abcmiz_1(k5_msafree(A, B)), k51_abcmiz_1(k5_msafree(A, C))) &  (r1_relset_1(u1_struct_0(k5_msafree(A, B)), k3_finseq_2(u1_struct_0(k5_msafree(A, B))), u1_lang1(k5_msafree(A, B)), u1_lang1(k5_msafree(A, C))) & r1_tarski(k4_dtconstr(k5_msafree(A, B)), k4_dtconstr(k5_msafree(A, C)))) ) ) ) ) ) ) ) ) ).
fof(t122_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (r2_tarski(B, k51_abcmiz_1(k5_msafree(A, k28_abcmiz_1(A)))) <=>  (? [C] :  (m1_subset_1(C, k2_abcmiz_1) & B=k1_domain_1(k2_abcmiz_1, u1_struct_0(A), C, k14_abcmiz_1(A))) ) ) ) ) ) ).
fof(t123_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (r2_tarski(B, k52_abcmiz_1(k5_msafree(A, k28_abcmiz_1(A)))) <=>  ~ ( ( ~ (B=k4_tarski(k33_abcmiz_1(A), u1_struct_0(A)))  &  ( ~ (B=k4_tarski(k32_abcmiz_1(A), u1_struct_0(A)))  &  (! [C] :  ( (v2_abcmiz_1(C, A) & m1_subset_1(C, u4_struct_0(A)))  =>  ~ (B=k4_tarski(C, u1_struct_0(A))) ) ) ) ) ) ) ) ) ) ).
fof(t124_abcmiz_1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v13_abcmiz_1(B, A)) ) ) )  =>  (! [C] :  (r2_tarski(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) => m1_dtconstr(C, u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), B, k8_funcop_1(k1_zfmisc_1(k4_ordinal1), u1_struct_0(A), k6_domain_1(k4_ordinal1, k5_numbers))))), k5_trees_3(u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), B, k8_funcop_1(k1_zfmisc_1(k4_ordinal1), u1_struct_0(A), k6_domain_1(k4_ordinal1, k5_numbers)))))), k1_msaterm(A, k2_pboole(u1_struct_0(A), B, k8_funcop_1(k1_zfmisc_1(k4_ordinal1), u1_struct_0(A), k6_domain_1(k4_ordinal1, k5_numbers)))))) ) ) ) ) ) ).
fof(t125_abcmiz_1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v13_abcmiz_1(B, A)) ) ) )  =>  (! [C] :  (m1_dtconstr(C, u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), B, k8_funcop_1(k1_zfmisc_1(k4_ordinal1), u1_struct_0(A), k6_domain_1(k4_ordinal1, k5_numbers))))), k5_trees_3(u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), B, k8_funcop_1(k1_zfmisc_1(k4_ordinal1), u1_struct_0(A), k6_domain_1(k4_ordinal1, k5_numbers)))))), k1_msaterm(A, k2_pboole(u1_struct_0(A), B, k8_funcop_1(k1_zfmisc_1(k4_ordinal1), u1_struct_0(A), k6_domain_1(k4_ordinal1, k5_numbers))))) =>  (r2_tarski(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) => r2_tarski(C, k1_funct_1(u3_msualg_1(A, k1_msafree3(A, B)), k7_msaterm(A, k2_pboole(u1_struct_0(A), B, k8_funcop_1(k1_zfmisc_1(k4_ordinal1), u1_struct_0(A), k6_domain_1(k4_ordinal1, k5_numbers))), C)))) ) ) ) ) ) ) ).
fof(t126_abcmiz_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lang1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r1_lang1(A, B, C) => m2_finseq_1(C, u1_struct_0(A))) ) ) ) ) ) ) ).
fof(t127_abcmiz_1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_msafree(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_msafree(A, C))) =>  (! [F] :  (m2_finseq_1(F, u1_struct_0(k5_msafree(A, B))) =>  (! [G] :  (m2_finseq_1(G, u1_struct_0(k5_msafree(A, C))) =>  ( (D=E &  (F=G & r1_lang1(k5_msafree(A, B), D, F)) )  => r1_lang1(k5_msafree(A, C), E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t128_abcmiz_1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v13_abcmiz_1(B, A)) ) ) )  => k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))=k4_dtconstr(k5_msafree(A, B))) ) ) ) ).
fof(d56_abcmiz_1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))), k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))), k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))))))) )  =>  (m4_abcmiz_1(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_tarski(k7_relset_1(k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))), k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))), C, k1_funct_1(u3_msualg_1(A, k1_msafree3(A, B)), D)), k1_funct_1(u3_msualg_1(A, k1_msafree3(A, B)), D))) ) ) ) ) ) ) ) ) ).
fof(t129_abcmiz_1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))), k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))), k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))))))) )  =>  (m4_abcmiz_1(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (r2_tarski(E, k1_funct_1(u3_msualg_1(A, k1_msafree3(A, B)), D)) => r2_tarski(k1_funct_1(C, E), k1_funct_1(u3_msualg_1(A, k1_msafree3(A, B)), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t130_abcmiz_1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m4_abcmiz_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m2_finseq_1(E, k1_funct_1(u3_msualg_1(A, k1_msafree3(A, B)), D)) =>  (m2_finseq_1(k1_partfun1(k4_ordinal1, k1_funct_1(u3_msualg_1(A, k1_msafree3(A, B)), D), k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))), k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))), E, C), k1_funct_1(u3_msualg_1(A, k1_msafree3(A, B)), D)) & k4_card_1(k1_partfun1(k4_ordinal1, k1_funct_1(u3_msualg_1(A, k1_msafree3(A, B)), D), k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))), k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))), E, C))=k3_finseq_1(E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d57_abcmiz_1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (! [C] :  (m4_abcmiz_1(C, A, B) =>  (v14_abcmiz_1(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m2_finseq_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (! [F] :  (m2_finseq_1(F, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  ( (r2_tarski(k4_trees_4(k4_tarski(D, u1_struct_0(A)), E), k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) & r2_relset_1(k4_ordinal1, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))), F, k1_partfun1(k4_ordinal1, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))), k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))), k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))), E, C)))  => k1_funct_1(C, k4_trees_4(k4_tarski(D, u1_struct_0(A)), E))=k4_trees_4(k4_tarski(D, u1_struct_0(A)), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d58_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  =>  (v15_abcmiz_1(B, A) <=>  (! [C] :  (m1_subset_1(C, k2_abcmiz_1) =>  ~ ( (r2_tarski(C, k1_relset_1(k2_abcmiz_1, B)) &  (! [D] :  (m1_subset_1(D, k2_abcmiz_1) =>  ~ (k1_funct_1(B, C)=k35_abcmiz_1(D, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t131_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_abcmiz_1)) =>  (k1_relset_1(k2_abcmiz_1, k54_abcmiz_1(A, B))=B &  (! [C] :  (m1_subset_1(C, k2_abcmiz_1) =>  (r2_tarski(C, B) => k1_funct_1(k54_abcmiz_1(A, B), C)=k35_abcmiz_1(C, A)) ) ) ) ) ) ) ) ).
fof(d60_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  =>  (! [C] :  (m4_abcmiz_1(C, A, k28_abcmiz_1(A)) =>  (C=k55_abcmiz_1(A, B) <=>  ( (! [D] :  (m1_subset_1(D, k2_abcmiz_1) =>  ( (r2_tarski(D, k1_relset_1(k2_abcmiz_1, B)) => k3_funct_2(k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), C, k35_abcmiz_1(D, A))=k1_funct_1(B, D))  &  ( ~ (r2_tarski(D, k1_relset_1(k2_abcmiz_1, B)))  => k3_funct_2(k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), C, k35_abcmiz_1(D, A))=k35_abcmiz_1(D, A)) ) ) )  &  ( (! [D] :  ( (v2_abcmiz_1(D, A) & m1_subset_1(D, u4_struct_0(A)))  =>  (! [E] :  (m1_trees_4(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), k34_abcmiz_1(A)) =>  (! [F] :  (m1_trees_4(F, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), k34_abcmiz_1(A)) =>  ( (k3_finseq_1(E)=k3_finseq_1(k1_msualg_1(A, D)) & F=k11_lang1(k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), E, C))  => k3_funct_2(k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), C, k36_abcmiz_1(A, D, E))=k36_abcmiz_1(A, D, F)) ) ) ) ) ) )  &  ( (! [D] :  (m1_abcmiz_1(D, A, k13_abcmiz_1(A)) => k3_funct_2(k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), C, k30_abcmiz_1(A, k32_abcmiz_1(A), D))=k30_abcmiz_1(A, k32_abcmiz_1(A), k3_funct_2(k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), C, D))) )  &  (! [D] :  (m1_abcmiz_1(D, A, k13_abcmiz_1(A)) =>  (! [E] :  (m1_abcmiz_1(E, A, k12_abcmiz_1(A)) => k3_funct_2(k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), C, k31_abcmiz_1(A, k33_abcmiz_1(A), D, E))=k31_abcmiz_1(A, k33_abcmiz_1(A), k3_funct_2(k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), C, D), k3_funct_2(k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d61_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) => k56_abcmiz_1(A, B, C)=k3_funct_2(k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), k55_abcmiz_1(A, B), C)) ) ) ) ) ) ).
fof(d62_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r1_tarski(k10_xtuple_0(C), k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) => k57_abcmiz_1(A, B, C)=k3_relat_1(C, k55_abcmiz_1(A, B))) ) ) ) ) ) ) ).
fof(d63_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  =>  (! [C] :  (m1_trees_4(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), k34_abcmiz_1(A)) => k58_abcmiz_1(A, B, C)=k11_lang1(k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), C, k55_abcmiz_1(A, B))) ) ) ) ) ) ).
fof(t132_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  =>  (! [C] :  (m1_subset_1(C, k2_abcmiz_1) =>  ( ~ (r2_tarski(C, k1_relset_1(k2_abcmiz_1, B)))  => k56_abcmiz_1(A, B, k35_abcmiz_1(C, A))=k35_abcmiz_1(C, A)) ) ) ) ) ) ) ).
fof(t133_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  =>  (! [C] :  (m1_subset_1(C, k2_abcmiz_1) =>  (r2_tarski(C, k1_relset_1(k2_abcmiz_1, B)) => k56_abcmiz_1(A, B, k35_abcmiz_1(C, A))=k1_funct_1(B, C)) ) ) ) ) ) ) ).
fof(t134_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v2_abcmiz_1(B, A) & m1_subset_1(B, u4_struct_0(A)))  =>  (! [C] :  (m1_trees_4(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), k34_abcmiz_1(A)) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  =>  (k3_finseq_1(C)=k3_finseq_1(k1_msualg_1(A, B)) => k56_abcmiz_1(A, D, k36_abcmiz_1(A, B, C))=k36_abcmiz_1(A, B, k58_abcmiz_1(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t135_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_abcmiz_1(B, A, k13_abcmiz_1(A)) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  => k56_abcmiz_1(A, C, k30_abcmiz_1(A, k32_abcmiz_1(A), B))=k30_abcmiz_1(A, k32_abcmiz_1(A), k56_abcmiz_1(A, C, B))) ) ) ) ) ) ).
fof(t136_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_abcmiz_1(B, A, k12_abcmiz_1(A)) =>  (! [C] :  (m1_abcmiz_1(C, A, k13_abcmiz_1(A)) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  => k56_abcmiz_1(A, D, k31_abcmiz_1(A, k33_abcmiz_1(A), C, B))=k31_abcmiz_1(A, k33_abcmiz_1(A), k56_abcmiz_1(A, D, C), k56_abcmiz_1(A, D, B))) ) ) ) ) ) ) ) ).
fof(t137_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_abcmiz_1)) => k56_abcmiz_1(A, k54_abcmiz_1(A, C), B)=B) ) ) ) ) ) ).
fof(t138_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_abcmiz_1)) => r2_relset_1(k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), k55_abcmiz_1(A, k54_abcmiz_1(A, B)), k6_partfun1(k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))))) ) ) ) ).
fof(t139_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (! [C] :  ( (v1_xboole_0(C) &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A))))) )  => k56_abcmiz_1(A, C, B)=B) ) ) ) ) ) ).
fof(t140_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v1_xboole_0(B) &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A))))) )  => r2_relset_1(k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), k55_abcmiz_1(A, B), k6_partfun1(k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))))) ) ) ) ).
fof(t141_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_abcmiz_1(B, A, k13_abcmiz_1(A)) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  => k60_abcmiz_1(A, C, k37_abcmiz_1(A, B))=k37_abcmiz_1(A, k60_abcmiz_1(A, C, B))) ) ) ) ) ) ).
fof(t142_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v2_funct_1(B) &  (v15_abcmiz_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A))))) ) )  =>  (? [C] :  ( (v1_funct_1(C) &  (v2_funct_1(C) &  (v15_abcmiz_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A))))) ) )  &  (! [D] :  (m1_subset_1(D, k2_abcmiz_1) =>  (! [E] :  (m1_subset_1(E, k2_abcmiz_1) =>  ( ( (r2_tarski(D, k1_relset_1(k2_abcmiz_1, B)) & k1_funct_1(B, D)=k35_abcmiz_1(E, A))  =>  (r2_tarski(E, k1_relset_1(k2_abcmiz_1, C)) & k1_funct_1(C, E)=k35_abcmiz_1(D, A)) )  &  ( (r2_tarski(E, k1_relset_1(k2_abcmiz_1, C)) & k1_funct_1(C, E)=k35_abcmiz_1(D, A))  =>  (r2_tarski(D, k1_relset_1(k2_abcmiz_1, B)) & k1_funct_1(B, D)=k35_abcmiz_1(E, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t143_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v2_funct_1(B) &  (v15_abcmiz_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v2_funct_1(C) &  (v15_abcmiz_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A))))) ) )  =>  ( (! [D] :  (m1_subset_1(D, k2_abcmiz_1) =>  (! [E] :  (m1_subset_1(E, k2_abcmiz_1) =>  ( (r2_tarski(D, k1_relset_1(k2_abcmiz_1, B)) & k1_funct_1(B, D)=k35_abcmiz_1(E, A))  =>  (r2_tarski(E, k1_relset_1(k2_abcmiz_1, C)) & k1_funct_1(C, E)=k35_abcmiz_1(D, A)) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (r1_tarski(k45_abcmiz_1(A, D), k1_relset_1(k2_abcmiz_1, B)) => k56_abcmiz_1(A, C, k56_abcmiz_1(A, B, D))=D) ) ) ) ) ) ) ) ) ) ).
fof(t144_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k38_abcmiz_1(A))) =>  (! [D] :  ( (v8_abcmiz_1(D, A) & m1_abcmiz_1(D, A, k13_abcmiz_1(A)))  =>  (C=k6_domain_1(k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), D) => k63_abcmiz_1(A, B, C)=k6_domain_1(k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), k61_abcmiz_1(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t145_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k38_abcmiz_1(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k38_abcmiz_1(A))) => k63_abcmiz_1(A, B, k4_subset_1(k38_abcmiz_1(A), C, D))=k4_subset_1(k38_abcmiz_1(A), k63_abcmiz_1(A, B, C), k63_abcmiz_1(A, B, D))) ) ) ) ) ) ) ) ).
fof(t146_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k38_abcmiz_1(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k38_abcmiz_1(A))) =>  (r1_tarski(C, D) => r1_tarski(k63_abcmiz_1(A, B, C), k63_abcmiz_1(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(d65_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  =>  (! [C] :  (m3_abcmiz_1(C, A) => k64_abcmiz_1(A, B, C)=k40_abcmiz_1(A, k63_abcmiz_1(A, B, k41_abcmiz_1(A, C)), k62_abcmiz_1(A, B, k42_abcmiz_1(A, C)))) ) ) ) ) ) ).
fof(t147_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  =>  (! [C] :  (m3_abcmiz_1(C, A) =>  (k41_abcmiz_1(A, k64_abcmiz_1(A, B, C))=k63_abcmiz_1(A, B, k41_abcmiz_1(A, C)) & k42_abcmiz_1(A, k64_abcmiz_1(A, B, C))=k62_abcmiz_1(A, B, k42_abcmiz_1(A, C))) ) ) ) ) ) ) ).
fof(t148_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  =>  (! [C] :  (m3_abcmiz_1(C, A) =>  (! [D] :  ( (v8_abcmiz_1(D, A) & m1_abcmiz_1(D, A, k13_abcmiz_1(A)))  => k64_abcmiz_1(A, B, k43_abcmiz_1(A, C, D))=k43_abcmiz_1(A, k64_abcmiz_1(A, B, C), k61_abcmiz_1(A, B, D))) ) ) ) ) ) ) ) ).
fof(d66_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  =>  (D=k65_abcmiz_1(A, B, C) <=>  (k1_relset_1(k2_abcmiz_1, D)=k4_subset_1(k2_abcmiz_1, k1_relset_1(k2_abcmiz_1, B), k1_relset_1(k2_abcmiz_1, C)) &  (! [E] :  (m1_subset_1(E, k2_abcmiz_1) =>  (r2_tarski(E, k1_relset_1(k2_abcmiz_1, D)) => k1_funct_1(D, E)=k59_abcmiz_1(A, C, k59_abcmiz_1(A, B, k35_abcmiz_1(E, A)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t149_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  => k56_abcmiz_1(A, D, k56_abcmiz_1(A, C, B))=k56_abcmiz_1(A, k65_abcmiz_1(A, C, D), B)) ) ) ) ) ) ) ) ).
fof(t150_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k38_abcmiz_1(A))) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  => k63_abcmiz_1(A, D, k63_abcmiz_1(A, C, B))=k63_abcmiz_1(A, k65_abcmiz_1(A, C, D), B)) ) ) ) ) ) ) ) ).
fof(t151_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m3_abcmiz_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  => k64_abcmiz_1(A, D, k64_abcmiz_1(A, C, B))=k64_abcmiz_1(A, k65_abcmiz_1(A, C, D), B)) ) ) ) ) ) ) ) ).
fof(s2_abcmiz_1, axiom,  ( ( (! [A] :  (m1_subset_1(A, k2_abcmiz_1) => p1_s2_abcmiz_1(k35_abcmiz_1(A, f1_s2_abcmiz_1))) )  &  ( (! [A] :  ( (v2_abcmiz_1(A, f1_s2_abcmiz_1) & m1_subset_1(A, u4_struct_0(f1_s2_abcmiz_1)))  =>  (! [B] :  (m1_trees_4(B, k3_card_3(u3_msualg_1(f1_s2_abcmiz_1, k1_msafree3(f1_s2_abcmiz_1, k28_abcmiz_1(f1_s2_abcmiz_1)))), k34_abcmiz_1(f1_s2_abcmiz_1)) =>  ( (k3_finseq_1(B)=k3_finseq_1(k1_msualg_1(f1_s2_abcmiz_1, A)) &  (! [C] :  (m1_abcmiz_1(C, f1_s2_abcmiz_1, k14_abcmiz_1(f1_s2_abcmiz_1)) =>  (r2_tarski(C, k2_relset_1(k3_card_3(u3_msualg_1(f1_s2_abcmiz_1, k1_msafree3(f1_s2_abcmiz_1, k28_abcmiz_1(f1_s2_abcmiz_1)))), B)) => p1_s2_abcmiz_1(C)) ) ) )  => p1_s2_abcmiz_1(k36_abcmiz_1(f1_s2_abcmiz_1, A, B))) ) ) ) )  &  ( (! [A] :  (m1_abcmiz_1(A, f1_s2_abcmiz_1, k13_abcmiz_1(f1_s2_abcmiz_1)) =>  (p1_s2_abcmiz_1(A) => p1_s2_abcmiz_1(k30_abcmiz_1(f1_s2_abcmiz_1, k32_abcmiz_1(f1_s2_abcmiz_1), A))) ) )  &  (! [A] :  (m1_abcmiz_1(A, f1_s2_abcmiz_1, k13_abcmiz_1(f1_s2_abcmiz_1)) =>  (p1_s2_abcmiz_1(A) =>  (! [B] :  (m1_abcmiz_1(B, f1_s2_abcmiz_1, k12_abcmiz_1(f1_s2_abcmiz_1)) =>  (p1_s2_abcmiz_1(B) => p1_s2_abcmiz_1(k31_abcmiz_1(f1_s2_abcmiz_1, k33_abcmiz_1(f1_s2_abcmiz_1), A, B))) ) ) ) ) ) ) ) )  => p1_s2_abcmiz_1(f2_s2_abcmiz_1)) ).
fof(s3_abcmiz_1, axiom,  ( ( (! [A] :  (m1_subset_1(A, k2_abcmiz_1) => m1_abcmiz_1(f2_s3_abcmiz_1(A), f1_s3_abcmiz_1, k14_abcmiz_1(f1_s3_abcmiz_1))) )  &  ( (! [A] :  ( (v2_abcmiz_1(A, f1_s3_abcmiz_1) & m1_subset_1(A, u4_struct_0(f1_s3_abcmiz_1)))  =>  (! [B] :  (m1_trees_4(B, k3_card_3(u3_msualg_1(f1_s3_abcmiz_1, k1_msafree3(f1_s3_abcmiz_1, k28_abcmiz_1(f1_s3_abcmiz_1)))), k34_abcmiz_1(f1_s3_abcmiz_1)) =>  (k3_finseq_1(B)=k3_finseq_1(k1_msualg_1(f1_s3_abcmiz_1, A)) => m1_abcmiz_1(f4_s3_abcmiz_1(A, B), f1_s3_abcmiz_1, k2_msualg_1(f1_s3_abcmiz_1, A))) ) ) ) )  &  ( (! [A] :  (m1_abcmiz_1(A, f1_s3_abcmiz_1, k13_abcmiz_1(f1_s3_abcmiz_1)) => m1_abcmiz_1(f3_s3_abcmiz_1(A), f1_s3_abcmiz_1, k13_abcmiz_1(f1_s3_abcmiz_1))) )  &  (! [A] :  (m1_abcmiz_1(A, f1_s3_abcmiz_1, k13_abcmiz_1(f1_s3_abcmiz_1)) =>  (! [B] :  (m1_abcmiz_1(B, f1_s3_abcmiz_1, k12_abcmiz_1(f1_s3_abcmiz_1)) => m1_abcmiz_1(f5_s3_abcmiz_1(A, B), f1_s3_abcmiz_1, k12_abcmiz_1(f1_s3_abcmiz_1))) ) ) ) ) ) )  =>  (? [A] :  (m4_abcmiz_1(A, f1_s3_abcmiz_1, k28_abcmiz_1(f1_s3_abcmiz_1)) &  ( (! [B] :  (m1_subset_1(B, k2_abcmiz_1) => k3_funct_2(k3_card_3(u3_msualg_1(f1_s3_abcmiz_1, k1_msafree3(f1_s3_abcmiz_1, k28_abcmiz_1(f1_s3_abcmiz_1)))), k3_card_3(u3_msualg_1(f1_s3_abcmiz_1, k1_msafree3(f1_s3_abcmiz_1, k28_abcmiz_1(f1_s3_abcmiz_1)))), A, k35_abcmiz_1(B, f1_s3_abcmiz_1))=f2_s3_abcmiz_1(B)) )  &  ( (! [B] :  ( (v2_abcmiz_1(B, f1_s3_abcmiz_1) & m1_subset_1(B, u4_struct_0(f1_s3_abcmiz_1)))  =>  (! [C] :  (m1_trees_4(C, k3_card_3(u3_msualg_1(f1_s3_abcmiz_1, k1_msafree3(f1_s3_abcmiz_1, k28_abcmiz_1(f1_s3_abcmiz_1)))), k34_abcmiz_1(f1_s3_abcmiz_1)) =>  (! [D] :  (m1_trees_4(D, k3_card_3(u3_msualg_1(f1_s3_abcmiz_1, k1_msafree3(f1_s3_abcmiz_1, k28_abcmiz_1(f1_s3_abcmiz_1)))), k34_abcmiz_1(f1_s3_abcmiz_1)) =>  ( (k3_finseq_1(C)=k3_finseq_1(k1_msualg_1(f1_s3_abcmiz_1, B)) & D=k11_lang1(k3_card_3(u3_msualg_1(f1_s3_abcmiz_1, k1_msafree3(f1_s3_abcmiz_1, k28_abcmiz_1(f1_s3_abcmiz_1)))), k3_card_3(u3_msualg_1(f1_s3_abcmiz_1, k1_msafree3(f1_s3_abcmiz_1, k28_abcmiz_1(f1_s3_abcmiz_1)))), C, A))  => k3_funct_2(k3_card_3(u3_msualg_1(f1_s3_abcmiz_1, k1_msafree3(f1_s3_abcmiz_1, k28_abcmiz_1(f1_s3_abcmiz_1)))), k3_card_3(u3_msualg_1(f1_s3_abcmiz_1, k1_msafree3(f1_s3_abcmiz_1, k28_abcmiz_1(f1_s3_abcmiz_1)))), A, k36_abcmiz_1(f1_s3_abcmiz_1, B, C))=f4_s3_abcmiz_1(B, D)) ) ) ) ) ) )  &  ( (! [B] :  (m1_abcmiz_1(B, f1_s3_abcmiz_1, k13_abcmiz_1(f1_s3_abcmiz_1)) => k3_funct_2(k3_card_3(u3_msualg_1(f1_s3_abcmiz_1, k1_msafree3(f1_s3_abcmiz_1, k28_abcmiz_1(f1_s3_abcmiz_1)))), k3_card_3(u3_msualg_1(f1_s3_abcmiz_1, k1_msafree3(f1_s3_abcmiz_1, k28_abcmiz_1(f1_s3_abcmiz_1)))), A, k30_abcmiz_1(f1_s3_abcmiz_1, k32_abcmiz_1(f1_s3_abcmiz_1), B))=f3_s3_abcmiz_1(k3_funct_2(k3_card_3(u3_msualg_1(f1_s3_abcmiz_1, k1_msafree3(f1_s3_abcmiz_1, k28_abcmiz_1(f1_s3_abcmiz_1)))), k3_card_3(u3_msualg_1(f1_s3_abcmiz_1, k1_msafree3(f1_s3_abcmiz_1, k28_abcmiz_1(f1_s3_abcmiz_1)))), A, B))) )  &  (! [B] :  (m1_abcmiz_1(B, f1_s3_abcmiz_1, k13_abcmiz_1(f1_s3_abcmiz_1)) =>  (! [C] :  (m1_abcmiz_1(C, f1_s3_abcmiz_1, k12_abcmiz_1(f1_s3_abcmiz_1)) => k3_funct_2(k3_card_3(u3_msualg_1(f1_s3_abcmiz_1, k1_msafree3(f1_s3_abcmiz_1, k28_abcmiz_1(f1_s3_abcmiz_1)))), k3_card_3(u3_msualg_1(f1_s3_abcmiz_1, k1_msafree3(f1_s3_abcmiz_1, k28_abcmiz_1(f1_s3_abcmiz_1)))), A, k31_abcmiz_1(f1_s3_abcmiz_1, k33_abcmiz_1(f1_s3_abcmiz_1), B, C))=f5_s3_abcmiz_1(k3_funct_2(k3_card_3(u3_msualg_1(f1_s3_abcmiz_1, k1_msafree3(f1_s3_abcmiz_1, k28_abcmiz_1(f1_s3_abcmiz_1)))), k3_card_3(u3_msualg_1(f1_s3_abcmiz_1, k1_msafree3(f1_s3_abcmiz_1, k28_abcmiz_1(f1_s3_abcmiz_1)))), A, B), k3_funct_2(k3_card_3(u3_msualg_1(f1_s3_abcmiz_1, k1_msafree3(f1_s3_abcmiz_1, k28_abcmiz_1(f1_s3_abcmiz_1)))), k3_card_3(u3_msualg_1(f1_s3_abcmiz_1, k1_msafree3(f1_s3_abcmiz_1, k28_abcmiz_1(f1_s3_abcmiz_1)))), A, C))) ) ) ) ) ) ) ) ) ) ).
fof(projectivity_k1_abcmiz_1, axiom,  (! [A] : k1_abcmiz_1(k1_abcmiz_1(A))=k1_abcmiz_1(A)) ).
fof(dt_k3_abcmiz_1, axiom,  (! [A] :  (m1_subset_1(A, k2_abcmiz_1) => m1_subset_1(k3_abcmiz_1(A), k1_zfmisc_1(k2_abcmiz_1))) ) ).
fof(redefinition_k3_abcmiz_1, axiom,  (! [A] :  (m1_subset_1(A, k2_abcmiz_1) => k3_abcmiz_1(A)=k1_xtuple_0(A)) ) ).
fof(dt_k4_abcmiz_1, axiom, m1_finseq_2(k4_abcmiz_1, k2_abcmiz_1)).
fof(dt_k5_abcmiz_1, axiom,  (! [A] :  (m1_subset_1(A, k4_abcmiz_1) =>  (v1_funct_1(k5_abcmiz_1(A)) & m1_subset_1(k5_abcmiz_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k4_ordinal1)))) ) ) ).
fof(redefinition_k5_abcmiz_1, axiom,  (! [A] :  (m1_subset_1(A, k4_abcmiz_1) => k5_abcmiz_1(A)=k2_funct_1(A)) ) ).
fof(dt_k11_abcmiz_1, axiom,  (v1_msualg_1(k11_abcmiz_1) &  (v1_instalg1(k11_abcmiz_1) & l1_msualg_1(k11_abcmiz_1)) ) ).
fof(dt_k12_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) & l1_msualg_1(A)) )  => m1_subset_1(k12_abcmiz_1(A), u1_struct_0(A))) ) ).
fof(dt_k13_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) & l1_msualg_1(A)) )  => m1_subset_1(k13_abcmiz_1(A), u1_struct_0(A))) ) ).
fof(dt_k14_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) & l1_msualg_1(A)) )  => m1_subset_1(k14_abcmiz_1(A), u1_struct_0(A))) ) ).
fof(dt_k15_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) & l1_msualg_1(A)) )  => m1_subset_1(k15_abcmiz_1(A), u4_struct_0(A))) ) ).
fof(dt_k16_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) & l1_msualg_1(A)) )  => m1_subset_1(k16_abcmiz_1(A), u4_struct_0(A))) ) ).
fof(dt_k20_abcmiz_1, axiom,  ~ (v1_xboole_0(k20_abcmiz_1)) ).
fof(dt_k21_abcmiz_1, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k4_abcmiz_1, k4_ordinal1)) => m2_finseq_2(k21_abcmiz_1(A), k2_abcmiz_1, k4_abcmiz_1)) ) ).
fof(redefinition_k21_abcmiz_1, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k4_abcmiz_1, k4_ordinal1)) => k21_abcmiz_1(A)=k1_xtuple_0(A)) ) ).
fof(dt_k22_abcmiz_1, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k4_abcmiz_1, k4_ordinal1)) => m1_subset_1(k22_abcmiz_1(A), k4_ordinal1)) ) ).
fof(redefinition_k22_abcmiz_1, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k4_abcmiz_1, k4_ordinal1)) => k22_abcmiz_1(A)=k2_xtuple_0(A)) ) ).
fof(dt_k23_abcmiz_1, axiom,  (! [A] :  (m1_subset_1(A, k20_abcmiz_1) => m1_subset_1(k23_abcmiz_1(A), k1_enumset1(k6_abcmiz_1, k7_abcmiz_1, k8_abcmiz_1))) ) ).
fof(redefinition_k23_abcmiz_1, axiom,  (! [A] :  (m1_subset_1(A, k20_abcmiz_1) => k23_abcmiz_1(A)=k1_xtuple_0(A)) ) ).
fof(dt_k24_abcmiz_1, axiom,  (! [A] :  (m1_subset_1(A, k20_abcmiz_1) => m1_subset_1(k24_abcmiz_1(A), k2_zfmisc_1(k4_abcmiz_1, k4_ordinal1))) ) ).
fof(redefinition_k24_abcmiz_1, axiom,  (! [A] :  (m1_subset_1(A, k20_abcmiz_1) => k24_abcmiz_1(A)=k2_xtuple_0(A)) ) ).
fof(dt_k25_abcmiz_1, axiom,  (! [A] :  (m1_subset_1(A, k20_abcmiz_1) => m2_finseq_2(k25_abcmiz_1(A), k2_abcmiz_1, k4_abcmiz_1)) ) ).
fof(dt_k26_abcmiz_1, axiom,  (! [A] :  (m1_subset_1(A, k20_abcmiz_1) => v7_ordinal1(k26_abcmiz_1(A))) ) ).
fof(dt_k27_abcmiz_1, axiom,  (v1_msualg_1(k27_abcmiz_1) &  (v1_instalg1(k27_abcmiz_1) &  (v1_abcmiz_1(k27_abcmiz_1) & l1_msualg_1(k27_abcmiz_1)) ) ) ).
fof(dt_k28_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) & l1_msualg_1(A)) )  =>  (v1_relat_1(k28_abcmiz_1(A)) &  (v4_relat_1(k28_abcmiz_1(A), u1_struct_0(A)) &  (v1_funct_1(k28_abcmiz_1(A)) & v1_partfun1(k28_abcmiz_1(A), u1_struct_0(A))) ) ) ) ) ).
fof(dt_m1_abcmiz_1, axiom,  (! [A, B] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (! [C] :  (m1_abcmiz_1(C, A, B) => m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))))) ) ) ) ).
fof(existence_m1_abcmiz_1, axiom,  (! [A, B] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (? [C] : m1_abcmiz_1(C, A, B)) ) ) ).
fof(dt_k29_abcmiz_1, axiom,  (! [A, B] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  (v2_abcmiz_1(B, A) & m1_subset_1(B, u4_struct_0(A))) )  => m1_subset_1(k29_abcmiz_1(A, B), k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))))) ) ).
fof(dt_k30_abcmiz_1, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  (m1_subset_1(B, u4_struct_0(A)) & m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))))) )  => m1_subset_1(k30_abcmiz_1(A, B, C), k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))))) ) ).
fof(dt_k31_abcmiz_1, axiom,  (! [A, B, C, D] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  (m1_subset_1(B, u4_struct_0(A)) &  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) & m1_subset_1(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))))) ) )  => m1_subset_1(k31_abcmiz_1(A, B, C, D), k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))))) ) ).
fof(dt_m2_abcmiz_1, axiom,  (! [A, B] :  ( ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (! [C] :  (m2_abcmiz_1(C, A, B) => m1_subset_1(C, u4_struct_0(A))) ) ) ) ).
fof(existence_m2_abcmiz_1, axiom,  (! [A, B] :  ( ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (? [C] : m2_abcmiz_1(C, A, B)) ) ) ).
fof(dt_k32_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) & l1_msualg_1(A)) )  => m2_abcmiz_1(k32_abcmiz_1(A), A, k13_abcmiz_1(A))) ) ).
fof(redefinition_k32_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) & l1_msualg_1(A)) )  => k32_abcmiz_1(A)=k15_abcmiz_1(A)) ) ).
fof(dt_k33_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) & l1_msualg_1(A)) )  => m2_abcmiz_1(k33_abcmiz_1(A), A, k12_abcmiz_1(A))) ) ).
fof(redefinition_k33_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) & l1_msualg_1(A)) )  => k33_abcmiz_1(A)=k16_abcmiz_1(A)) ) ).
fof(dt_k34_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  => m1_subset_1(k34_abcmiz_1(A), k1_zfmisc_1(k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))))) ) ).
fof(dt_k35_abcmiz_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k2_abcmiz_1) &  (v1_instalg1(B) &  (v1_abcmiz_1(B) &  (v3_abcmiz_1(B) & l1_msualg_1(B)) ) ) )  => m1_abcmiz_1(k35_abcmiz_1(A, B), B, k14_abcmiz_1(B))) ) ).
fof(dt_k36_abcmiz_1, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  ( (v2_abcmiz_1(B, A) & m1_subset_1(B, u4_struct_0(A)))  & m1_finseq_1(C, k34_abcmiz_1(A))) )  =>  (v5_abcmiz_1(k36_abcmiz_1(A, B, C), A, k28_abcmiz_1(A)) & m1_subset_1(k36_abcmiz_1(A, B, C), k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))))) ) ) ).
fof(dt_k37_abcmiz_1, axiom,  (! [A, B] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  & m1_abcmiz_1(B, A, k13_abcmiz_1(A)))  => m1_abcmiz_1(k37_abcmiz_1(A, B), A, k13_abcmiz_1(A))) ) ).
fof(dt_k38_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  => m1_subset_1(k38_abcmiz_1(A), k1_zfmisc_1(k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))))) ) ).
fof(existence_m3_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (? [B] : m3_abcmiz_1(B, A)) ) ) ).
fof(dt_k40_abcmiz_1, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k38_abcmiz_1(A))))  &  (v9_abcmiz_1(C, A) & m1_abcmiz_1(C, A, k12_abcmiz_1(A))) ) )  => m3_abcmiz_1(k40_abcmiz_1(A, B, C), A)) ) ).
fof(redefinition_k40_abcmiz_1, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k38_abcmiz_1(A))))  &  (v9_abcmiz_1(C, A) & m1_abcmiz_1(C, A, k12_abcmiz_1(A))) ) )  => k40_abcmiz_1(A, B, C)=k4_tarski(B, C)) ) ).
fof(dt_k41_abcmiz_1, axiom,  (! [A, B] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  & m3_abcmiz_1(B, A))  => m1_subset_1(k41_abcmiz_1(A, B), k1_zfmisc_1(k38_abcmiz_1(A)))) ) ).
fof(redefinition_k41_abcmiz_1, axiom,  (! [A, B] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  & m3_abcmiz_1(B, A))  => k41_abcmiz_1(A, B)=k1_xtuple_0(B)) ) ).
fof(dt_k42_abcmiz_1, axiom,  (! [A, B] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  & m3_abcmiz_1(B, A))  =>  (v9_abcmiz_1(k42_abcmiz_1(A, B), A) & m1_abcmiz_1(k42_abcmiz_1(A, B), A, k12_abcmiz_1(A))) ) ) ).
fof(redefinition_k42_abcmiz_1, axiom,  (! [A, B] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  & m3_abcmiz_1(B, A))  => k42_abcmiz_1(A, B)=k2_xtuple_0(B)) ) ).
fof(dt_k43_abcmiz_1, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  (m3_abcmiz_1(B, A) &  (v8_abcmiz_1(C, A) & m1_abcmiz_1(C, A, k13_abcmiz_1(A))) ) )  => m3_abcmiz_1(k43_abcmiz_1(A, B, C), A)) ) ).
fof(dt_k44_abcmiz_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, u1_struct_0(A))) )  =>  (v1_funct_1(k44_abcmiz_1(A, B, C)) &  (v1_funct_2(k44_abcmiz_1(A, B, C), k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))), k9_setfam_1(k1_funct_1(B, C))) & m1_subset_1(k44_abcmiz_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))), k9_setfam_1(k1_funct_1(B, C)))))) ) ) ) ).
fof(dt_k45_abcmiz_1, axiom,  (! [A, B] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  & m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))))  => m1_subset_1(k45_abcmiz_1(A, B), k1_zfmisc_1(k2_abcmiz_1))) ) ).
fof(dt_k46_abcmiz_1, axiom,  (! [A, B] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  & m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))))  =>  (v1_finset_1(k46_abcmiz_1(A, B)) & m1_subset_1(k46_abcmiz_1(A, B), k1_zfmisc_1(k2_abcmiz_1))) ) ) ).
fof(dt_k47_abcmiz_1, axiom,  (! [A, B] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  & m3_abcmiz_1(B, A))  => m1_subset_1(k47_abcmiz_1(A, B), k1_zfmisc_1(k2_abcmiz_1))) ) ).
fof(dt_k48_abcmiz_1, axiom,  (! [A, B] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  & m3_abcmiz_1(B, A))  =>  (v1_finset_1(k48_abcmiz_1(A, B)) & m1_subset_1(k48_abcmiz_1(A, B), k1_zfmisc_1(k2_abcmiz_1))) ) ) ).
fof(dt_k49_abcmiz_1, axiom,  ( ~ (v2_struct_0(k49_abcmiz_1))  &  (v1_orders_2(k49_abcmiz_1) &  (v3_orders_2(k49_abcmiz_1) &  (v4_orders_2(k49_abcmiz_1) &  (v5_orders_2(k49_abcmiz_1) & l1_orders_2(k49_abcmiz_1)) ) ) ) ) ).
fof(dt_k50_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (v1_funct_1(k50_abcmiz_1(A)) &  (v1_funct_2(k50_abcmiz_1(A), k39_abcmiz_1(A), u1_struct_0(k49_abcmiz_1)) & m1_subset_1(k50_abcmiz_1(A), k1_zfmisc_1(k2_zfmisc_1(k39_abcmiz_1(A), u1_struct_0(k49_abcmiz_1))))) ) ) ) ).
fof(dt_f1_s2_abcmiz_1, axiom,  (v1_instalg1(f1_s2_abcmiz_1) &  (v1_abcmiz_1(f1_s2_abcmiz_1) &  (v3_abcmiz_1(f1_s2_abcmiz_1) & l1_msualg_1(f1_s2_abcmiz_1)) ) ) ).
fof(dt_f2_s2_abcmiz_1, axiom, m1_subset_1(f2_s2_abcmiz_1, k3_card_3(u3_msualg_1(f1_s2_abcmiz_1, k1_msafree3(f1_s2_abcmiz_1, k28_abcmiz_1(f1_s2_abcmiz_1)))))).
fof(dt_k51_abcmiz_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lang1(A))  => m1_subset_1(k51_abcmiz_1(A), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(redefinition_k51_abcmiz_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lang1(A))  => k51_abcmiz_1(A)=k1_lang1(A)) ) ).
fof(dt_k52_abcmiz_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lang1(A))  => m1_subset_1(k52_abcmiz_1(A), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(redefinition_k52_abcmiz_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lang1(A))  => k52_abcmiz_1(A)=k2_lang1(A)) ) ).
fof(dt_m4_abcmiz_1, axiom,  (! [A, B] :  ( ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m4_abcmiz_1(C, A, B) =>  (v1_funct_1(C) &  (v1_funct_2(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))), k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))), k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))))))) ) ) ) ) ) ).
fof(existence_m4_abcmiz_1, axiom,  (! [A, B] :  ( ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (? [C] : m4_abcmiz_1(C, A, B)) ) ) ).
fof(dt_f1_s3_abcmiz_1, axiom,  (v1_instalg1(f1_s3_abcmiz_1) &  (v1_abcmiz_1(f1_s3_abcmiz_1) &  (v3_abcmiz_1(f1_s3_abcmiz_1) & l1_msualg_1(f1_s3_abcmiz_1)) ) ) ).
fof(dt_f2_s3_abcmiz_1, axiom,  (! [A] : m1_subset_1(f2_s3_abcmiz_1(A), k3_card_3(u3_msualg_1(f1_s3_abcmiz_1, k1_msafree3(f1_s3_abcmiz_1, k28_abcmiz_1(f1_s3_abcmiz_1)))))) ).
fof(dt_f3_s3_abcmiz_1, axiom,  (! [A] : m1_subset_1(f3_s3_abcmiz_1(A), k3_card_3(u3_msualg_1(f1_s3_abcmiz_1, k1_msafree3(f1_s3_abcmiz_1, k28_abcmiz_1(f1_s3_abcmiz_1)))))) ).
fof(dt_f4_s3_abcmiz_1, axiom,  (! [A, B] : m1_subset_1(f4_s3_abcmiz_1(A, B), k3_card_3(u3_msualg_1(f1_s3_abcmiz_1, k1_msafree3(f1_s3_abcmiz_1, k28_abcmiz_1(f1_s3_abcmiz_1)))))) ).
fof(dt_f5_s3_abcmiz_1, axiom,  (! [A, B] : m1_subset_1(f5_s3_abcmiz_1(A, B), k3_card_3(u3_msualg_1(f1_s3_abcmiz_1, k1_msafree3(f1_s3_abcmiz_1, k28_abcmiz_1(f1_s3_abcmiz_1)))))) ).
fof(dt_k53_abcmiz_1, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(D, A) & m1_subset_1(E, A))  => m1_subset_1(k53_abcmiz_1(A, B, C, D, E), A)) ) ).
fof(redefinition_k53_abcmiz_1, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(D, A) & m1_subset_1(E, A))  => k53_abcmiz_1(A, B, C, D, E)=k2_matrix_7(B, C, D, E)) ) ).
fof(dt_k54_abcmiz_1, axiom,  (! [A, B] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  & m1_subset_1(B, k1_zfmisc_1(k2_abcmiz_1)))  =>  (v1_funct_1(k54_abcmiz_1(A, B)) & m1_subset_1(k54_abcmiz_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A))))) ) ) ).
fof(dt_k55_abcmiz_1, axiom,  (! [A, B] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A))))) )  => m4_abcmiz_1(k55_abcmiz_1(A, B), A, k28_abcmiz_1(A))) ) ).
fof(dt_k56_abcmiz_1, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  & m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))))) )  => m1_subset_1(k56_abcmiz_1(A, B, C), k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))))) ) ).
fof(dt_k57_abcmiz_1, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) )  =>  (v1_relat_1(k57_abcmiz_1(A, B, C)) &  (v1_funct_1(k57_abcmiz_1(A, B, C)) & v1_finseq_1(k57_abcmiz_1(A, B, C))) ) ) ) ).
fof(dt_k58_abcmiz_1, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  & m1_finseq_1(C, k34_abcmiz_1(A))) )  => m1_trees_4(k58_abcmiz_1(A, B, C), k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), k34_abcmiz_1(A))) ) ).
fof(redefinition_k58_abcmiz_1, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  & m1_finseq_1(C, k34_abcmiz_1(A))) )  => k58_abcmiz_1(A, B, C)=k57_abcmiz_1(A, B, C)) ) ).
fof(dt_k59_abcmiz_1, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  & m1_abcmiz_1(C, A, k14_abcmiz_1(A))) )  => m1_abcmiz_1(k59_abcmiz_1(A, B, C), A, k14_abcmiz_1(A))) ) ).
fof(redefinition_k59_abcmiz_1, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  & m1_abcmiz_1(C, A, k14_abcmiz_1(A))) )  => k59_abcmiz_1(A, B, C)=k56_abcmiz_1(A, B, C)) ) ).
fof(dt_k60_abcmiz_1, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  & m1_abcmiz_1(C, A, k13_abcmiz_1(A))) )  => m1_abcmiz_1(k60_abcmiz_1(A, B, C), A, k13_abcmiz_1(A))) ) ).
fof(redefinition_k60_abcmiz_1, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  & m1_abcmiz_1(C, A, k13_abcmiz_1(A))) )  => k60_abcmiz_1(A, B, C)=k56_abcmiz_1(A, B, C)) ) ).
fof(dt_k61_abcmiz_1, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  &  (v8_abcmiz_1(C, A) & m1_abcmiz_1(C, A, k13_abcmiz_1(A))) ) )  =>  (v8_abcmiz_1(k61_abcmiz_1(A, B, C), A) & m1_abcmiz_1(k61_abcmiz_1(A, B, C), A, k13_abcmiz_1(A))) ) ) ).
fof(redefinition_k61_abcmiz_1, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  &  (v8_abcmiz_1(C, A) & m1_abcmiz_1(C, A, k13_abcmiz_1(A))) ) )  => k61_abcmiz_1(A, B, C)=k56_abcmiz_1(A, B, C)) ) ).
fof(dt_k62_abcmiz_1, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  & m1_abcmiz_1(C, A, k12_abcmiz_1(A))) )  => m1_abcmiz_1(k62_abcmiz_1(A, B, C), A, k12_abcmiz_1(A))) ) ).
fof(redefinition_k62_abcmiz_1, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  & m1_abcmiz_1(C, A, k12_abcmiz_1(A))) )  => k62_abcmiz_1(A, B, C)=k56_abcmiz_1(A, B, C)) ) ).
fof(dt_k63_abcmiz_1, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  & m1_subset_1(C, k1_zfmisc_1(k38_abcmiz_1(A)))) )  => m1_subset_1(k63_abcmiz_1(A, B, C), k1_zfmisc_1(k38_abcmiz_1(A)))) ) ).
fof(dt_k64_abcmiz_1, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  & m3_abcmiz_1(C, A)) )  => m3_abcmiz_1(k64_abcmiz_1(A, B, C), A)) ) ).
fof(dt_k65_abcmiz_1, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A))))) ) )  =>  (v1_funct_1(k65_abcmiz_1(A, B, C)) & m1_subset_1(k65_abcmiz_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A))))) ) ) ).
fof(t10_abcmiz_1, axiom,  (! [A] : k1_abcmiz_1(k3_tarski(A))=k3_tarski(a_1_0_abcmiz_1(A))) ).
fof(d2_abcmiz_1, axiom,  (! [A] :  (A=k2_abcmiz_1 <=>  (? [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) )  &  (A=k3_card_3(B) &  (k1_funct_1(B, k5_numbers)=a_0_0_abcmiz_1 &  (! [C] :  (v7_ordinal1(C) => k1_funct_1(B, k1_nat_1(C, 1))=a_2_0_abcmiz_1(B, C)) ) ) ) ) ) ) ) ).
fof(t14_abcmiz_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) )  =>  ( (k1_funct_1(A, k5_numbers)=a_0_0_abcmiz_1 &  (! [B] :  (v7_ordinal1(B) => k1_funct_1(A, k1_nat_1(B, 1))=a_2_0_abcmiz_1(A, B)) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r1_xxreal_0(B, C) => r1_tarski(k1_funct_1(A, B), k1_funct_1(A, C))) ) ) ) ) ) ) ) ).
fof(t15_abcmiz_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) )  =>  ( (k1_funct_1(A, k5_numbers)=a_0_0_abcmiz_1 &  (! [B] :  (v7_ordinal1(B) => k1_funct_1(A, k1_nat_1(B, 1))=a_2_0_abcmiz_1(A, B)) ) )  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_abcmiz_1)))  =>  (? [C] :  (m1_subset_1(C, k4_ordinal1) & r1_tarski(B, k1_funct_1(A, C))) ) ) ) ) ) ) ).
fof(t16_abcmiz_1, axiom, r1_tarski(a_0_0_abcmiz_1, k2_abcmiz_1)).
fof(t18_abcmiz_1, axiom, k2_abcmiz_1=a_0_1_abcmiz_1).
fof(d40_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  => k38_abcmiz_1(A)=a_1_1_abcmiz_1(A)) ) ).
fof(d42_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  => k39_abcmiz_1(A)=a_1_2_abcmiz_1(A)) ) ).
fof(t88_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v2_abcmiz_1(B, A) & m1_subset_1(B, u4_struct_0(A)))  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v1_finseq_1(D) & v6_trees_3(D)) ) )  =>  (C=k4_trees_4(k4_tarski(B, u1_struct_0(A)), D) => k45_abcmiz_1(A, C)=k3_tarski(a_2_1_abcmiz_1(A, D))) ) ) ) ) ) ) ) ) ).
fof(t89_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v2_abcmiz_1(B, A) & m1_subset_1(B, u4_struct_0(A)))  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v1_finseq_1(D) & v6_trees_3(D)) ) )  =>  (C=k4_trees_4(k4_tarski(B, u1_struct_0(A)), D) => k46_abcmiz_1(A, C)=k3_tarski(a_2_2_abcmiz_1(A, D))) ) ) ) ) ) ) ) ) ).
fof(t90_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v2_abcmiz_1(B, A) & m1_subset_1(B, u4_struct_0(A)))  =>  (! [C] :  (m1_trees_4(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), k34_abcmiz_1(A)) =>  (k3_finseq_1(C)=k3_finseq_1(k1_msualg_1(A, B)) => k45_abcmiz_1(A, k36_abcmiz_1(A, B, C))=k3_tarski(a_2_3_abcmiz_1(A, C))) ) ) ) ) ) ) ).
fof(t91_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v2_abcmiz_1(B, A) & m1_subset_1(B, u4_struct_0(A)))  =>  (! [C] :  (m1_trees_4(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), k34_abcmiz_1(A)) =>  (k3_finseq_1(C)=k3_finseq_1(k1_msualg_1(A, B)) => k46_abcmiz_1(A, k36_abcmiz_1(A, B, C))=k3_tarski(a_2_4_abcmiz_1(A, C))) ) ) ) ) ) ) ).
fof(t104_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v9_abcmiz_1(B, A) & m1_abcmiz_1(B, A, k12_abcmiz_1(A)))  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(k38_abcmiz_1(A))))  => k47_abcmiz_1(A, k40_abcmiz_1(A, C, B))=k2_xboole_0(k3_tarski(a_2_5_abcmiz_1(A, C)), k45_abcmiz_1(A, B))) ) ) ) ) ) ).
fof(t105_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v9_abcmiz_1(B, A) & m1_abcmiz_1(B, A, k12_abcmiz_1(A)))  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(k38_abcmiz_1(A))))  => k48_abcmiz_1(A, k40_abcmiz_1(A, C, B))=k2_xboole_0(k3_tarski(a_2_6_abcmiz_1(A, C)), k46_abcmiz_1(A, B))) ) ) ) ) ) ).
fof(d51_abcmiz_1, axiom, k49_abcmiz_1=k7_lattice3(k1_yellow_1(a_0_2_abcmiz_1))).
fof(d59_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_abcmiz_1)) => k54_abcmiz_1(A, B)=a_2_7_abcmiz_1(A, B)) ) ) ) ).
fof(d64_abcmiz_1, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k38_abcmiz_1(A))) => k63_abcmiz_1(A, B, C)=a_3_0_abcmiz_1(A, B, C)) ) ) ) ) ) ).
fof(s1_abcmiz_1, axiom, k1_abcmiz_1(k3_tarski(a_0_3_abcmiz_1))=k3_tarski(a_0_4_abcmiz_1)).
fof(fraenkel_a_1_0_abcmiz_1, axiom,  (! [A, B] :  (r2_hidden(A, a_1_0_abcmiz_1(B)) <=>  (? [C] :  (m1_subset_1(C, B) & A=k1_abcmiz_1(C)) ) ) ) ).
fof(fraenkel_a_0_0_abcmiz_1, axiom,  (! [A] :  (r2_hidden(A, a_0_0_abcmiz_1) <=>  (? [B] :  (m1_subset_1(B, k4_ordinal1) & A=k4_tarski(k1_xboole_0, B)) ) ) ) ).
fof(fraenkel_a_2_0_abcmiz_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) )  & v7_ordinal1(C))  =>  (r2_hidden(A, a_2_0_abcmiz_1(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, k1_zfmisc_1(k1_funct_1(B, C))) & m1_subset_1(E, k4_ordinal1))  &  (A=k4_tarski(k1_abcmiz_1(D), E) & v1_finset_1(D)) ) ) ) ) ) ).
fof(fraenkel_a_0_1_abcmiz_1, axiom,  (! [A] :  (r2_hidden(A, a_0_1_abcmiz_1) <=>  (? [B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_abcmiz_1)) & m1_subset_1(C, k4_ordinal1))  &  (A=k4_tarski(k1_abcmiz_1(B), C) & v1_finset_1(B)) ) ) ) ) ).
fof(fraenkel_a_1_1_abcmiz_1, axiom,  (! [A, B] :  ( (v1_instalg1(B) &  (v1_abcmiz_1(B) &  (v3_abcmiz_1(B) & l1_msualg_1(B)) ) )  =>  (r2_hidden(A, a_1_1_abcmiz_1(B)) <=>  (? [C] :  (m1_abcmiz_1(C, B, k13_abcmiz_1(B)) &  (A=C & v8_abcmiz_1(C, B)) ) ) ) ) ) ).
fof(fraenkel_a_1_2_abcmiz_1, axiom,  (! [A, B] :  ( (v1_instalg1(B) &  (v1_abcmiz_1(B) &  (v3_abcmiz_1(B) & l1_msualg_1(B)) ) )  =>  (r2_hidden(A, a_1_2_abcmiz_1(B)) <=>  (? [C, D] :  ( (m1_abcmiz_1(C, B, k12_abcmiz_1(B)) &  (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(k38_abcmiz_1(B)))) )  &  (A=k1_domain_1(k1_zfmisc_1(k38_abcmiz_1(B)), k3_card_3(u3_msualg_1(B, k1_msafree3(B, k28_abcmiz_1(B)))), D, C) & v9_abcmiz_1(C, B)) ) ) ) ) ) ).
fof(fraenkel_a_2_1_abcmiz_1, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(B) &  (v1_abcmiz_1(B) &  (v3_abcmiz_1(B) & l1_msualg_1(B)) ) )  &  (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) & v6_trees_3(C)) ) ) )  =>  (r2_hidden(A, a_2_1_abcmiz_1(B, C)) <=>  (? [D] :  (m1_abcmiz_1(D, B, k14_abcmiz_1(B)) &  (A=k45_abcmiz_1(B, D) & r2_tarski(D, k10_xtuple_0(C))) ) ) ) ) ) ).
fof(fraenkel_a_2_2_abcmiz_1, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(B) &  (v1_abcmiz_1(B) &  (v3_abcmiz_1(B) & l1_msualg_1(B)) ) )  &  (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) & v6_trees_3(C)) ) ) )  =>  (r2_hidden(A, a_2_2_abcmiz_1(B, C)) <=>  (? [D] :  (m1_abcmiz_1(D, B, k14_abcmiz_1(B)) &  (A=k46_abcmiz_1(B, D) & r2_tarski(D, k10_xtuple_0(C))) ) ) ) ) ) ).
fof(fraenkel_a_2_3_abcmiz_1, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(B) &  (v1_abcmiz_1(B) &  (v3_abcmiz_1(B) & l1_msualg_1(B)) ) )  & m1_trees_4(C, k3_card_3(u3_msualg_1(B, k1_msafree3(B, k28_abcmiz_1(B)))), k34_abcmiz_1(B)))  =>  (r2_hidden(A, a_2_3_abcmiz_1(B, C)) <=>  (? [D] :  (m1_abcmiz_1(D, B, k14_abcmiz_1(B)) &  (A=k45_abcmiz_1(B, D) & r2_tarski(D, k2_relset_1(k3_card_3(u3_msualg_1(B, k1_msafree3(B, k28_abcmiz_1(B)))), C))) ) ) ) ) ) ).
fof(fraenkel_a_2_4_abcmiz_1, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(B) &  (v1_abcmiz_1(B) &  (v3_abcmiz_1(B) & l1_msualg_1(B)) ) )  & m1_trees_4(C, k3_card_3(u3_msualg_1(B, k1_msafree3(B, k28_abcmiz_1(B)))), k34_abcmiz_1(B)))  =>  (r2_hidden(A, a_2_4_abcmiz_1(B, C)) <=>  (? [D] :  (m1_abcmiz_1(D, B, k14_abcmiz_1(B)) &  (A=k46_abcmiz_1(B, D) & r2_tarski(D, k2_relset_1(k3_card_3(u3_msualg_1(B, k1_msafree3(B, k28_abcmiz_1(B)))), C))) ) ) ) ) ) ).
fof(fraenkel_a_2_5_abcmiz_1, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(B) &  (v1_abcmiz_1(B) &  (v3_abcmiz_1(B) & l1_msualg_1(B)) ) )  &  (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(k38_abcmiz_1(B)))) )  =>  (r2_hidden(A, a_2_5_abcmiz_1(B, C)) <=>  (? [D] :  ( (v8_abcmiz_1(D, B) & m1_abcmiz_1(D, B, k13_abcmiz_1(B)))  &  (A=k45_abcmiz_1(B, D) & r2_tarski(D, C)) ) ) ) ) ) ).
fof(fraenkel_a_2_6_abcmiz_1, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(B) &  (v1_abcmiz_1(B) &  (v3_abcmiz_1(B) & l1_msualg_1(B)) ) )  &  (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(k38_abcmiz_1(B)))) )  =>  (r2_hidden(A, a_2_6_abcmiz_1(B, C)) <=>  (? [D] :  ( (v8_abcmiz_1(D, B) & m1_abcmiz_1(D, B, k13_abcmiz_1(B)))  &  (A=k46_abcmiz_1(B, D) & r2_tarski(D, C)) ) ) ) ) ) ).
fof(fraenkel_a_0_2_abcmiz_1, axiom,  (! [A] :  (r2_hidden(A, a_0_2_abcmiz_1) <=>  (? [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_abcmiz_1)))  & A=k1_abcmiz_1(B)) ) ) ) ).
fof(fraenkel_a_2_7_abcmiz_1, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(B) &  (v1_abcmiz_1(B) &  (v3_abcmiz_1(B) & l1_msualg_1(B)) ) )  & m1_subset_1(C, k1_zfmisc_1(k2_abcmiz_1)))  =>  (r2_hidden(A, a_2_7_abcmiz_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, k2_abcmiz_1) &  (A=k1_domain_1(k2_abcmiz_1, k3_card_3(u3_msualg_1(B, k1_msafree3(B, k28_abcmiz_1(B)))), D, k35_abcmiz_1(D, B)) & r2_tarski(D, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_abcmiz_1, axiom,  (! [A, B, C, D] :  ( ( (v1_instalg1(B) &  (v1_abcmiz_1(B) &  (v3_abcmiz_1(B) & l1_msualg_1(B)) ) )  &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(B)))))  & m1_subset_1(D, k1_zfmisc_1(k38_abcmiz_1(B)))) )  =>  (r2_hidden(A, a_3_0_abcmiz_1(B, C, D)) <=>  (? [E] :  ( (v8_abcmiz_1(E, B) & m1_abcmiz_1(E, B, k13_abcmiz_1(B)))  &  (A=k61_abcmiz_1(B, C, E) & r2_tarski(E, D)) ) ) ) ) ) ).
fof(fraenkel_a_0_3_abcmiz_1, axiom,  (! [A] :  (r2_hidden(A, a_0_3_abcmiz_1) <=>  (? [B] :  (m1_subset_1(B, f1_s1_abcmiz_1) &  (A=f2_s1_abcmiz_1(B) & p1_s1_abcmiz_1(B)) ) ) ) ) ).
fof(fraenkel_a_0_4_abcmiz_1, axiom,  (! [A] :  (r2_hidden(A, a_0_4_abcmiz_1) <=>  (? [B] :  (m1_subset_1(B, f1_s1_abcmiz_1) &  (A=k1_abcmiz_1(f2_s1_abcmiz_1(B)) & p1_s1_abcmiz_1(B)) ) ) ) ) ).
fof(rc1_abcmiz_a, axiom,  (? [A] :  (m1_subset_1(A, k4_abcmiz_1) &  (v1_xboole_0(A) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k2_abcmiz_1) &  (v1_funct_1(A) &  (v2_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ) ) ) ).
fof(fc1_abcmiz_a, axiom,  (v1_msualg_1(k27_abcmiz_1) &  (v1_instalg1(k27_abcmiz_1) &  (v1_abcmiz_1(k27_abcmiz_1) & v1_abcmiz_a(k27_abcmiz_1)) ) ) ).
fof(rc2_abcmiz_a, axiom,  (? [A] :  (l1_msualg_1(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v14_struct_0(A) &  (v1_msualg_1(A) &  (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & v1_abcmiz_a(A)) ) ) ) ) ) ) ) ) ).
fof(rc3_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) & l1_msualg_1(A)) )  =>  (? [B] :  (m1_instalg1(B, A) &  (v1_instalg1(B) & v1_abcmiz_1(B)) ) ) ) ) ).
fof(rc4_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (? [B] :  (m1_instalg1(B, A) &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v14_struct_0(B) &  (v1_instalg1(B) &  (v1_abcmiz_1(B) & v3_abcmiz_1(B)) ) ) ) ) ) ) ) ) ).
fof(cc1_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v1_abcmiz_a(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_instalg1(B, A) =>  (v1_abcmiz_1(B) =>  (v1_abcmiz_1(B) & v1_abcmiz_a(B)) ) ) ) ) ) ).
fof(rc5_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (? [B] :  (m1_abcmiz_1(B, A, k14_abcmiz_1(A)) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  ( ~ (v1_xtuple_0(B))  &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v3_trees_2(B) &  (v3_trees_9(B) &  ~ (v5_abcmiz_1(B, A, k28_abcmiz_1(A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc2_abcmiz_a, axiom,  (! [A] :  (m1_subset_1(A, k2_abcmiz_1) => v1_xtuple_0(A)) ) ).
fof(fc2_abcmiz_a, axiom,  (! [A, B] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) &  (v1_abcmiz_a(A) & l1_msualg_1(A)) ) ) )  & m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))))  => v1_xtuple_0(k1_funct_1(B, k1_xboole_0))) ) ).
fof(fc3_abcmiz_a, axiom,  ~ (v1_xboole_0(k2_abcmiz_a)) ).
fof(fc4_abcmiz_a, axiom,  ~ (v1_xboole_0(k3_abcmiz_a)) ).
fof(fc5_abcmiz_a, axiom,  ~ (v1_xboole_0(k4_abcmiz_a)) ).
fof(cc3_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (v2_abcmiz_a(B, A) => v5_abcmiz_1(B, A, k28_abcmiz_1(A))) ) ) ) ) ).
fof(rc6_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (? [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  ( ~ (v1_xtuple_0(B))  &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v3_trees_2(B) &  (v3_trees_9(B) & v2_abcmiz_a(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc7_abcmiz_a, axiom,  (! [A, B] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  (v2_abcmiz_a(B, A) & m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))))) )  =>  (? [C] :  (m1_abcmiz_a(C, A, B) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  ( ~ (v1_xtuple_0(C))  &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v3_trees_2(C) &  (v3_trees_9(C) & v2_abcmiz_a(C, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc6_abcmiz_a, axiom,  (! [A, B, C] :  ( ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))))) )  => v1_relat_1(k10_xtuple_0(C))) ) ).
fof(fc7_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) & l1_msualg_1(A)) )  => v5_abcmiz_a(k15_abcmiz_1(A), A)) ) ).
fof(fc8_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) & l1_msualg_1(A)) )  => v6_abcmiz_a(k16_abcmiz_1(A), A)) ) ).
fof(cc4_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (v4_abcmiz_a(B, A) => v2_abcmiz_1(B, A)) ) ) ) ) ).
fof(rc8_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (? [B] :  (m2_abcmiz_1(B, A, k12_abcmiz_1(A)) &  (v2_abcmiz_1(B, A) & v4_abcmiz_a(B, A)) ) ) ) ) ).
fof(rc9_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (? [B] :  (m2_abcmiz_1(B, A, k13_abcmiz_1(A)) &  (v2_abcmiz_1(B, A) & v4_abcmiz_a(B, A)) ) ) ) ) ).
fof(rc10_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (? [B] :  (m1_subset_1(B, u4_struct_0(A)) &  (v2_abcmiz_1(B, A) & v4_abcmiz_a(B, A)) ) ) ) ) ).
fof(cc5_abcmiz_a, axiom,  (! [A] :  (l1_msualg_1(A) =>  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & v3_abcmiz_a(A)) )  =>  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & v12_abcmiz_1(A)) ) ) ) ) ).
fof(cc6_abcmiz_a, axiom,  (! [A] :  (l1_msualg_1(A) =>  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) & v3_abcmiz_a(A)) )  =>  (v1_instalg1(A) &  (v1_abcmiz_1(A) & v3_abcmiz_1(A)) ) ) ) ) ).
fof(fc9_abcmiz_a, axiom,  (v1_msualg_1(k27_abcmiz_1) &  (v1_instalg1(k27_abcmiz_1) &  (v1_abcmiz_1(k27_abcmiz_1) & v3_abcmiz_a(k27_abcmiz_1)) ) ) ).
fof(rc11_abcmiz_a, axiom,  (? [A] :  (l1_msualg_1(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v14_struct_0(A) &  (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & v3_abcmiz_a(A)) ) ) ) ) ) ) ) ).
fof(rc12_abcmiz_a, axiom,  (! [A, B] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_a(A) & l1_msualg_1(A)) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (? [C] :  (m2_abcmiz_1(C, A, B) &  (v2_abcmiz_1(C, A) & v4_abcmiz_a(C, A)) ) ) ) ) ).
fof(rc13_abcmiz_a, axiom,  (! [A, B] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_a(A) & l1_msualg_1(A)) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (? [C] :  (m2_abcmiz_1(C, A, B) &  (v2_abcmiz_1(C, A) & v5_abcmiz_a(C, A)) ) ) ) ) ).
fof(rc14_abcmiz_a, axiom,  (! [A, B] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_a(A) & l1_msualg_1(A)) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (? [C] :  (m2_abcmiz_1(C, A, B) &  (v2_abcmiz_1(C, A) & v6_abcmiz_a(C, A)) ) ) ) ) ).
fof(rc15_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_a(A) & l1_msualg_1(A)) ) )  =>  (? [B] :  (m1_subset_1(B, u4_struct_0(A)) &  (v2_abcmiz_1(B, A) & v5_abcmiz_a(B, A)) ) ) ) ) ).
fof(rc16_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_a(A) & l1_msualg_1(A)) ) )  =>  (? [B] :  (m1_subset_1(B, u4_struct_0(A)) &  (v2_abcmiz_1(B, A) & v6_abcmiz_a(B, A)) ) ) ) ) ).
fof(fc10_abcmiz_a, axiom,  (v2_abcmiz_1(k14_abcmiz_a(k8_abcmiz_a), k27_abcmiz_1) & v4_abcmiz_a(k14_abcmiz_a(k8_abcmiz_a), k27_abcmiz_1)) ).
fof(t2_abcmiz_a, axiom,  (! [A] :  (m1_subset_1(A, k2_abcmiz_1) => k1_abcmiz_1(k3_abcmiz_1(A))=k3_abcmiz_1(A)) ) ).
fof(t3_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (v5_abcmiz_1(B, A, k28_abcmiz_1(A)) <=>  (! [C] :  (m1_subset_1(C, k2_abcmiz_1) =>  ~ (B=k35_abcmiz_1(C, A)) ) ) ) ) ) ) ) ).
fof(d1_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) & l1_msualg_1(A)) )  =>  (v1_abcmiz_a(A) <=>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (v2_abcmiz_1(B, A) =>  (r2_tarski(B, k20_abcmiz_1) &  (k1_xfamily(B)=k2_msualg_1(A, B) & k1_card_1(k1_xfamily(k2_xfamily(B)))=k3_finseq_1(k1_msualg_1(A, B))) ) ) ) ) ) ) ) ).
fof(t4_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) & l1_msualg_1(A)) )  =>  (v1_abcmiz_a(A) =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (v2_abcmiz_1(B, A) <=> r2_tarski(B, k20_abcmiz_1)) ) ) ) ) ) ).
fof(d2_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) &  (v1_abcmiz_a(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  ( (v2_abcmiz_1(B, A) & m1_subset_1(B, u4_struct_0(A)))  => k1_abcmiz_a(A, B)=k1_xfamily(k2_xfamily(B))) ) ) ) ).
fof(t5_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v1_abcmiz_a(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v1_instalg1(B) &  (v1_abcmiz_1(B) &  (v1_abcmiz_a(B) & l1_msualg_1(B)) ) )  =>  (u4_struct_0(A)=u4_struct_0(B) => g1_msualg_1(u1_struct_0(A), u4_struct_0(A), u1_msualg_1(A), u2_msualg_1(A))=g1_msualg_1(u1_struct_0(B), u4_struct_0(B), u1_msualg_1(B), u2_msualg_1(B))) ) ) ) ) ).
fof(t6_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) & l1_msualg_1(A)) )  =>  (v1_abcmiz_a(A) <=> m1_instalg1(A, k27_abcmiz_1)) ) ) ).
fof(t7_abcmiz_a, axiom,  (! [A] :  (m1_subset_1(A, k2_abcmiz_1) =>  (v7_ordinal1(k3_abcmiz_1(A)) => k3_abcmiz_1(A)=k5_numbers) ) ) ).
fof(t8_abcmiz_a, axiom, r1_subset_1(k2_abcmiz_1, k20_abcmiz_1)).
fof(t9_abcmiz_a, axiom,  (! [A] :  (m1_subset_1(A, k2_abcmiz_1) =>  ( ~ (A=k9_abcmiz_1)  &  ~ (A=k10_abcmiz_1) ) ) ) ).
fof(t10_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v1_abcmiz_a(A) & l1_msualg_1(A)) ) )  => r1_subset_1(k2_abcmiz_1, u4_struct_0(A))) ) ).
fof(t11_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) &  (v1_abcmiz_a(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  ~ ( ( (! [C] :  (m1_subset_1(C, k2_abcmiz_1) =>  ~ ( (B=k35_abcmiz_1(C, A) & k1_funct_1(B, k1_xboole_0)=k4_tarski(C, k8_abcmiz_1)) ) ) )  &  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  ~ ( (k1_funct_1(B, k1_xboole_0)=k4_tarski(C, u1_struct_0(A)) &  ~ ( ( ~ (r2_tarski(C, k20_abcmiz_1))  &  ( ~ (C=k9_abcmiz_1)  &  ~ (C=k10_abcmiz_1) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (k1_funct_1(B, k1_xboole_0)=k4_tarski(C, u1_struct_0(A)) => m1_abcmiz_1(B, A, k2_msualg_1(A, C))) ) ) ) ) ) ) ).
fof(t13_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) &  (v1_abcmiz_a(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  ( (k1_xfamily(k1_funct_1(B, k1_xboole_0))=k9_abcmiz_1 => m1_abcmiz_1(B, A, k12_abcmiz_1(A)))  &  (k1_xfamily(k1_funct_1(B, k1_xboole_0))=k10_abcmiz_1 => m1_abcmiz_1(B, A, k13_abcmiz_1(A))) ) ) ) ) ) ).
fof(t14_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) &  (v1_abcmiz_a(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  ( (r2_tarski(k1_xfamily(k1_funct_1(B, k1_xboole_0)), k2_abcmiz_1) &  (k2_xfamily(k1_funct_1(B, k1_xboole_0))=k8_abcmiz_1 & m1_abcmiz_1(B, A, k14_abcmiz_1(A))) )  |  (k2_xfamily(k1_funct_1(B, k1_xboole_0))=u1_struct_0(A) &  ~ ( ( ~ ( (r2_tarski(k1_xfamily(k1_funct_1(B, k1_xboole_0)), k20_abcmiz_1) & r2_tarski(k1_xfamily(k1_funct_1(B, k1_xboole_0)), u4_struct_0(A))) )  &  ( ~ (k1_xfamily(k1_funct_1(B, k1_xboole_0))=k9_abcmiz_1)  &  ~ (k1_xfamily(k1_funct_1(B, k1_xboole_0))=k10_abcmiz_1) ) ) ) ) ) ) ) ) ) ).
fof(t15_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) &  (v1_abcmiz_a(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (r2_tarski(k1_xfamily(k1_funct_1(B, k1_xboole_0)), k20_abcmiz_1) => r2_tarski(B, k1_funct_1(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))), k1_xfamily(k1_xfamily(k1_funct_1(B, k1_xboole_0)))))) ) ) ) ) ).
fof(t16_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) &  (v1_abcmiz_a(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  ( ~ (r2_tarski(k1_xfamily(k1_funct_1(B, k1_xboole_0)), k2_abcmiz_1))  <=> m1_subset_1(k1_xfamily(k1_funct_1(B, k1_xboole_0)), u4_struct_0(A))) ) ) ) ) ).
fof(t17_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) &  (v1_abcmiz_a(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  ~ ( (r2_tarski(k1_xfamily(k1_funct_1(B, k1_xboole_0)), k2_abcmiz_1) &  (! [C] :  (m1_subset_1(C, k2_abcmiz_1) =>  ~ ( (C=k1_xfamily(k1_funct_1(B, k1_xboole_0)) & B=k35_abcmiz_1(C, A)) ) ) ) ) ) ) ) ) ) ).
fof(t18_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) &  (v1_abcmiz_a(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  ~ ( (k1_xfamily(k1_funct_1(B, k1_xboole_0))=k9_abcmiz_1 &  (! [C] :  (m1_abcmiz_1(C, A, k13_abcmiz_1(A)) =>  (! [D] :  (m1_abcmiz_1(D, A, k12_abcmiz_1(A)) =>  ~ (B=k6_trees_4(k4_tarski(k9_abcmiz_1, 3), C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) &  (v1_abcmiz_a(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  ~ ( (k1_xfamily(k1_funct_1(B, k1_xboole_0))=k10_abcmiz_1 &  (! [C] :  (m1_abcmiz_1(C, A, k13_abcmiz_1(A)) =>  ~ (B=k5_trees_4(k4_tarski(k10_abcmiz_1, 3), C)) ) ) ) ) ) ) ) ) ).
fof(t20_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) &  (v1_abcmiz_a(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  ~ ( (r2_tarski(k1_xfamily(k1_funct_1(B, k1_xboole_0)), k20_abcmiz_1) &  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  ~ ( (C=k1_xfamily(k1_funct_1(B, k1_xboole_0)) &  (k2_msualg_1(A, C)=k1_xfamily(C) & m1_abcmiz_1(B, A, k2_msualg_1(A, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) &  (v1_abcmiz_a(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  (m1_abcmiz_1(B, A, k14_abcmiz_1(A)) =>  (v5_abcmiz_1(B, A, k28_abcmiz_1(A)) <=>  (r2_tarski(k1_xfamily(k1_funct_1(B, k1_xboole_0)), k20_abcmiz_1) & k1_xfamily(k1_xfamily(k1_funct_1(B, k1_xboole_0)))=k8_abcmiz_1) ) ) ) ) ) ).
fof(t22_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) &  (v1_abcmiz_a(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  ( ( ~ (v5_abcmiz_1(B, A, k28_abcmiz_1(A)))  & m1_abcmiz_1(B, A, k14_abcmiz_1(A)))  <=> r2_tarski(k1_xfamily(k1_funct_1(B, k1_xboole_0)), k2_abcmiz_1)) ) ) ) ) ).
fof(t23_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) &  (v1_abcmiz_a(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (m1_abcmiz_1(B, A, k14_abcmiz_1(A)) <=>  ( (r2_tarski(k1_xfamily(k1_funct_1(B, k1_xboole_0)), k20_abcmiz_1) & k1_xfamily(k1_xfamily(k1_funct_1(B, k1_xboole_0)))=k8_abcmiz_1)  | r2_tarski(k1_xfamily(k1_funct_1(B, k1_xboole_0)), k2_abcmiz_1)) ) ) ) ) ) ).
fof(t24_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) &  (v1_abcmiz_a(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  ( (v6_abcmiz_1(B, A) &  (v8_abcmiz_1(B, A) & m1_abcmiz_1(B, A, k13_abcmiz_1(A))) )  <=>  (r2_tarski(k1_xfamily(k1_funct_1(B, k1_xboole_0)), k20_abcmiz_1) & k1_xfamily(k1_xfamily(k1_funct_1(B, k1_xboole_0)))=k7_abcmiz_1) ) ) ) ) ) ).
fof(t25_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) &  (v1_abcmiz_a(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  ( (v8_abcmiz_1(B, A) & m1_abcmiz_1(B, A, k13_abcmiz_1(A)))  =>  (v7_abcmiz_1(B, A) <=> k1_xfamily(k1_funct_1(B, k1_xboole_0))=k10_abcmiz_1) ) ) ) ) ).
fof(t26_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) &  (v1_abcmiz_a(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  ( (v9_abcmiz_1(B, A) & m1_abcmiz_1(B, A, k12_abcmiz_1(A)))  <=>  (r2_tarski(k1_xfamily(k1_funct_1(B, k1_xboole_0)), k20_abcmiz_1) & k1_xfamily(k1_xfamily(k1_funct_1(B, k1_xboole_0)))=k6_abcmiz_1) ) ) ) ) ) ).
fof(d3_abcmiz_a, axiom, k2_abcmiz_a=k38_abcmiz_1(k27_abcmiz_1)).
fof(d4_abcmiz_a, axiom, k3_abcmiz_a=k34_abcmiz_1(k27_abcmiz_1)).
fof(d5_abcmiz_a, axiom, k4_abcmiz_a=k39_abcmiz_1(k27_abcmiz_1)).
fof(d6_abcmiz_a, axiom, k8_abcmiz_a=k4_tarski(k6_abcmiz_1, k4_tarski(k1_xboole_0, k5_numbers))).
fof(t27_abcmiz_a, axiom,  (k23_abcmiz_1(k8_abcmiz_a)=k6_abcmiz_1 &  (k25_abcmiz_1(k8_abcmiz_a)=k1_xboole_0 & k26_abcmiz_1(k8_abcmiz_a)=k5_numbers) ) ).
fof(t28_abcmiz_a, axiom, k20_abcmiz_1=k2_zfmisc_1(k1_enumset1(k6_abcmiz_1, k7_abcmiz_1, k8_abcmiz_1), k2_zfmisc_1(k4_abcmiz_1, k4_ordinal1))).
fof(t29_abcmiz_a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k2_abcmiz_1, k4_abcmiz_1) =>  (r2_hidden(k4_tarski(k2_relset_1(k2_abcmiz_1, B), A), k2_abcmiz_1) & m2_finseq_2(k7_finseq_1(B, k9_finseq_1(k4_tarski(k2_relset_1(k2_abcmiz_1, B), A))), k2_abcmiz_1, k4_abcmiz_1)) ) ) ) ) ).
fof(t30_abcmiz_a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (m2_finseq_2(B, k2_abcmiz_1, k4_abcmiz_1) & k3_finseq_1(B)=A) ) ) ) ).
fof(t31_abcmiz_a, axiom,  (! [A] :  ( (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_abcmiz_1)))  =>  (? [B] :  (m2_finseq_2(B, k2_abcmiz_1, k4_abcmiz_1) & k2_relset_1(k2_abcmiz_1, B)=k1_abcmiz_1(A)) ) ) ) ).
fof(t32_abcmiz_a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (! [D] :  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) &  (v1_finseq_1(E) & v6_trees_3(E)) ) )  =>  (r2_tarski(k4_trees_4(D, E), C) =>  ( (! [F] :  ( (v1_instalg1(F) &  (v1_abcmiz_1(F) &  (v3_abcmiz_1(F) & l1_msualg_1(F)) ) )  =>  ~ (C=k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) ) )  | m2_finseq_1(E, C)) ) ) ) ) ) ) ) ) ) ).
fof(d7_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (m1_abcmiz_a(C, A, B) <=> r2_tarski(C, k3_trees_9(B))) ) ) ) ) ) ) ).
fof(d9_abcmiz_a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  ( (v5_abcmiz_1(C, A, B) => k10_abcmiz_a(A, B, C)=k1_xfamily(k1_funct_1(C, k1_xboole_0)))  &  ( ~ (v5_abcmiz_1(C, A, B))  => k10_abcmiz_a(A, B, C)=k1_xboole_0) ) ) ) ) ) ) ) ).
fof(d10_abcmiz_a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v1_finseq_1(D) & v6_trees_3(D)) ) )  =>  (D=k11_abcmiz_a(A, B, C) <=> C=k4_trees_4(k1_funct_1(C, k1_xboole_0), D)) ) ) ) ) ) ) ) ) ).
fof(t33_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) => m1_abcmiz_a(B, A, B)) ) ) ) ).
fof(t34_abcmiz_a, axiom,  (! [A] :  (m1_subset_1(A, k2_abcmiz_1) =>  (! [B] :  ( (v1_instalg1(B) &  (v1_abcmiz_1(B) &  (v3_abcmiz_1(B) & l1_msualg_1(B)) ) )  => k10_abcmiz_a(B, k28_abcmiz_1(B), k35_abcmiz_1(A, B))=k1_xboole_0) ) ) ) ).
fof(t35_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v2_abcmiz_1(B, A) & m1_subset_1(B, u4_struct_0(A)))  =>  (! [C] :  (m1_trees_4(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))), k34_abcmiz_1(A)) =>  (k3_finseq_1(C)=k3_finseq_1(k1_msualg_1(A, B)) => k10_abcmiz_a(A, k28_abcmiz_1(A), k36_abcmiz_1(A, B, C))=B) ) ) ) ) ) ) ).
fof(d11_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (v2_abcmiz_a(B, A) <=>  (v5_abcmiz_1(B, A, k28_abcmiz_1(A)) &  (v2_abcmiz_1(k10_abcmiz_a(A, k28_abcmiz_1(A), B), A) & m1_subset_1(k10_abcmiz_a(A, k28_abcmiz_1(A), B), u4_struct_0(A))) ) ) ) ) ) ) ).
fof(t36_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v2_abcmiz_a(B, A) & m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))))  => r2_tarski(k10_abcmiz_a(A, k28_abcmiz_1(A), B), k9_abcmiz_a(A, B))) ) ) ) ).
fof(d13_abcmiz_a, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (v4_abcmiz_a(B, A) <=> k1_msualg_1(A, B)=k1_xboole_0) ) ) ) ) ).
fof(d14_abcmiz_a, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (v5_abcmiz_a(B, A) <=> k3_finseq_1(k1_msualg_1(A, B))=1) ) ) ) ) ).
fof(d15_abcmiz_a, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (v6_abcmiz_a(B, A) <=> k3_finseq_1(k1_msualg_1(A, B))=2) ) ) ) ) ).
fof(t37_abcmiz_a, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  ( ~ ( (v4_abcmiz_a(B, A) & v5_abcmiz_a(B, A)) )  &  ( ~ ( (v4_abcmiz_a(B, A) & v6_abcmiz_a(B, A)) )  &  ~ ( (v5_abcmiz_a(B, A) & v6_abcmiz_a(B, A)) ) ) ) ) ) ) ) ).
fof(t38_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) & l1_msualg_1(A)) )  =>  (v3_abcmiz_1(A) <=>  (? [B] :  (m2_abcmiz_1(B, A, k12_abcmiz_1(A)) &  (? [C] :  (m2_abcmiz_1(C, A, k13_abcmiz_1(A)) &  (v4_abcmiz_a(B, A) & v4_abcmiz_a(C, A)) ) ) ) ) ) ) ) ).
fof(t39_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_abcmiz_a(B, A) & m1_subset_1(B, u4_struct_0(A)))  => m1_abcmiz_1(k4_trees_4(k4_tarski(B, u1_struct_0(A)), k1_xboole_0), A, k2_msualg_1(A, B))) ) ) ) ).
fof(d16_abcmiz_a, axiom,  (! [A] :  (m1_subset_1(A, k20_abcmiz_1) => k14_abcmiz_a(A)=A) ) ).
fof(t40_abcmiz_a, axiom, k1_msualg_1(k27_abcmiz_1, k15_abcmiz_a(k8_abcmiz_a))=k1_xboole_0).
fof(d17_abcmiz_a, axiom, k16_abcmiz_a=k40_abcmiz_1(k27_abcmiz_1, k1_subset_1(k38_abcmiz_1(k27_abcmiz_1)), k13_abcmiz_a(k27_abcmiz_1, k15_abcmiz_a(k8_abcmiz_a)))).
fof(t41_abcmiz_a, axiom,  (k41_abcmiz_1(k27_abcmiz_1, k16_abcmiz_a)=k1_xboole_0 & k42_abcmiz_1(k27_abcmiz_1, k16_abcmiz_a)=k13_abcmiz_a(k27_abcmiz_1, k15_abcmiz_a(k8_abcmiz_a))) ).
fof(d18_abcmiz_a, axiom,  (! [A] :  (m2_finseq_1(A, k2_abcmiz_1) =>  (! [B] :  (m1_trees_4(B, k3_card_3(u3_msualg_1(k27_abcmiz_1, k1_msafree3(k27_abcmiz_1, k28_abcmiz_1(k27_abcmiz_1)))), k34_abcmiz_1(k27_abcmiz_1)) =>  (B=k17_abcmiz_a(A) <=>  (k3_finseq_1(B)=k3_finseq_1(A) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(A)) => k1_funct_1(B, C)=k35_abcmiz_1(k7_partfun1(k2_abcmiz_1, A, C), k27_abcmiz_1)) ) ) ) ) ) ) ) ) ).
fof(d19_abcmiz_a, axiom,  (! [A] :  (m1_subset_1(A, k20_abcmiz_1) => k18_abcmiz_a(A)=k36_abcmiz_1(k27_abcmiz_1, k14_abcmiz_a(A), k17_abcmiz_a(k25_abcmiz_1(A)))) ) ).
fof(t42_abcmiz_a, axiom,  (! [A] :  (m1_subset_1(A, u4_struct_0(k27_abcmiz_1)) =>  (v2_abcmiz_1(A, k27_abcmiz_1) <=> r2_tarski(A, k20_abcmiz_1)) ) ) ).
fof(t43_abcmiz_a, axiom,  (! [A] :  ( (v4_abcmiz_a(A, k27_abcmiz_1) & m1_subset_1(A, u4_struct_0(k27_abcmiz_1)))  => k10_abcmiz_a(k27_abcmiz_1, k28_abcmiz_1(k27_abcmiz_1), k29_abcmiz_1(k27_abcmiz_1, A))=A) ) ).
fof(t44_abcmiz_a, axiom,  (! [A] :  ( (v2_abcmiz_1(A, k27_abcmiz_1) &  (v5_abcmiz_a(A, k27_abcmiz_1) & m1_subset_1(A, u4_struct_0(k27_abcmiz_1))) )  =>  (! [B] :  (m1_abcmiz_1(B, k27_abcmiz_1, k14_abcmiz_1(k27_abcmiz_1)) => k10_abcmiz_a(k27_abcmiz_1, k28_abcmiz_1(k27_abcmiz_1), k30_abcmiz_1(k27_abcmiz_1, A, B))=A) ) ) ) ).
fof(t45_abcmiz_a, axiom,  (! [A] :  ( (v8_abcmiz_1(A, k27_abcmiz_1) & m1_abcmiz_1(A, k27_abcmiz_1, k13_abcmiz_1(k27_abcmiz_1)))  => k10_abcmiz_a(k27_abcmiz_1, k28_abcmiz_1(k27_abcmiz_1), k30_abcmiz_1(k27_abcmiz_1, k32_abcmiz_1(k27_abcmiz_1), A))=k10_abcmiz_1) ) ).
fof(t46_abcmiz_a, axiom,  (! [A] :  ( (v2_abcmiz_1(A, k27_abcmiz_1) &  (v6_abcmiz_a(A, k27_abcmiz_1) & m1_subset_1(A, u4_struct_0(k27_abcmiz_1))) )  =>  (! [B] :  (m1_abcmiz_1(B, k27_abcmiz_1, k14_abcmiz_1(k27_abcmiz_1)) =>  (! [C] :  (m1_abcmiz_1(C, k27_abcmiz_1, k14_abcmiz_1(k27_abcmiz_1)) => k10_abcmiz_a(k27_abcmiz_1, k28_abcmiz_1(k27_abcmiz_1), k31_abcmiz_1(k27_abcmiz_1, A, B, C))=A) ) ) ) ) ) ).
fof(t47_abcmiz_a, axiom,  (! [A] :  (m1_abcmiz_1(A, k27_abcmiz_1, k12_abcmiz_1(k27_abcmiz_1)) =>  (! [B] :  ( (v8_abcmiz_1(B, k27_abcmiz_1) & m1_abcmiz_1(B, k27_abcmiz_1, k13_abcmiz_1(k27_abcmiz_1)))  => k10_abcmiz_a(k27_abcmiz_1, k28_abcmiz_1(k27_abcmiz_1), k31_abcmiz_1(k27_abcmiz_1, k33_abcmiz_1(k27_abcmiz_1), B, A))=k9_abcmiz_1) ) ) ) ).
fof(t49_abcmiz_a, axiom,  (! [A] :  ( (v8_abcmiz_1(A, k27_abcmiz_1) & m1_abcmiz_1(A, k27_abcmiz_1, k13_abcmiz_1(k27_abcmiz_1)))  =>  (! [B] :  (m3_abcmiz_1(B, k27_abcmiz_1) => k19_abcmiz_a(k43_abcmiz_1(k27_abcmiz_1, B, A))=k2_xboole_0(k9_abcmiz_a(k27_abcmiz_1, A), k19_abcmiz_a(B))) ) ) ) ).
fof(d21_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (r1_abcmiz_a(A, B, C) <=>  (? [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  & B=k56_abcmiz_1(A, D, C)) ) ) ) ) ) ) ) ) ).
fof(t50_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (! [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  ( (r1_abcmiz_a(A, B, C) & r1_abcmiz_a(A, C, D))  => r1_abcmiz_a(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d22_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k38_abcmiz_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k38_abcmiz_1(A))) =>  (r2_abcmiz_a(A, B, C) <=>  (? [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  & r1_tarski(k63_abcmiz_1(A, D, C), B)) ) ) ) ) ) ) ) ) ).
fof(t51_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k38_abcmiz_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k38_abcmiz_1(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k38_abcmiz_1(A))) =>  ( (r2_abcmiz_a(A, B, C) & r2_abcmiz_a(A, C, D))  => r2_abcmiz_a(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d23_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m3_abcmiz_1(B, A) =>  (! [C] :  (m3_abcmiz_1(C, A) =>  (r3_abcmiz_a(A, B, C) <=>  (? [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  &  (r1_tarski(k63_abcmiz_1(A, D, k41_abcmiz_1(A, C)), k41_abcmiz_1(A, B)) & k62_abcmiz_1(A, D, k42_abcmiz_1(A, C))=k42_abcmiz_1(A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t52_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m3_abcmiz_1(B, A) =>  (! [C] :  (m3_abcmiz_1(C, A) =>  (! [D] :  (m3_abcmiz_1(D, A) =>  ( (r3_abcmiz_a(A, B, C) & r3_abcmiz_a(A, C, D))  => r3_abcmiz_a(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d24_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  =>  (r4_abcmiz_a(A, B, C, D) <=> k56_abcmiz_1(A, D, B)=k56_abcmiz_1(A, D, C)) ) ) ) ) ) ) ) ) ).
fof(t53_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  =>  (r4_abcmiz_a(A, B, C, D) => r4_abcmiz_a(A, C, B, D)) ) ) ) ) ) ) ) ) ).
fof(d25_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (r5_abcmiz_a(A, B, C) <=>  (? [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  & r4_abcmiz_a(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(d26_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (r6_abcmiz_a(A, B, C) <=>  (? [D] :  ( (v1_funct_1(D) &  (v2_funct_1(D) &  (v15_abcmiz_1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A))))) ) )  &  (r1_tarski(k45_abcmiz_1(A, C), k1_relset_1(k2_abcmiz_1, D)) & r5_abcmiz_a(A, B, k56_abcmiz_1(A, D, C))) ) ) ) ) ) ) ) ) ) ).
fof(t54_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (r5_abcmiz_a(A, B, C) => r6_abcmiz_a(A, B, C)) ) ) ) ) ) ) ).
fof(d27_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (! [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (r7_abcmiz_a(A, B, C, D) <=>  (? [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k34_abcmiz_1(A)))))  &  (r4_abcmiz_a(A, C, D, E) & B=k56_abcmiz_1(A, E, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (! [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (r7_abcmiz_a(A, D, B, C) => r7_abcmiz_a(A, D, C, B)) ) ) ) ) ) ) ) ) ).
fof(t56_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (! [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (r7_abcmiz_a(A, D, B, C) =>  (r1_abcmiz_a(A, D, B) & r1_abcmiz_a(A, D, C)) ) ) ) ) ) ) ) ) ) ).
fof(d28_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (! [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (r8_abcmiz_a(A, B, C, D) <=>  (r7_abcmiz_a(A, B, C, D) &  (! [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) =>  (r7_abcmiz_a(A, E, C, D) => r1_abcmiz_a(A, E, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_abcmiz_a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k27_abcmiz_1)) =>  (? [C] :  ( (v2_abcmiz_1(C, k27_abcmiz_1) & m2_abcmiz_1(C, k27_abcmiz_1, B))  & k3_finseq_1(k1_msualg_1(k27_abcmiz_1, C))=A) ) ) ) ) ) ).
fof(t58_abcmiz_a, axiom,  (! [A] :  (m2_finseq_2(A, k2_abcmiz_1, k4_abcmiz_1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k27_abcmiz_1)) =>  (! [C] :  ( (v2_abcmiz_1(C, k27_abcmiz_1) & m2_abcmiz_1(C, k27_abcmiz_1, B))  =>  (k3_finseq_1(k1_msualg_1(k27_abcmiz_1, C))=k3_finseq_1(A) => k45_abcmiz_1(k27_abcmiz_1, k36_abcmiz_1(k27_abcmiz_1, C, k17_abcmiz_a(A)))=k2_relset_1(k2_abcmiz_1, A)) ) ) ) ) ) ) ).
fof(t59_abcmiz_a, axiom,  (! [A] :  ( (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_abcmiz_1)))  =>  (k1_abcmiz_1(A)=A =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k27_abcmiz_1)) =>  (? [C] :  ( (v2_abcmiz_1(C, k27_abcmiz_1) & m2_abcmiz_1(C, k27_abcmiz_1, B))  &  (? [D] :  (m1_trees_4(D, k3_card_3(u3_msualg_1(k27_abcmiz_1, k1_msafree3(k27_abcmiz_1, k28_abcmiz_1(k27_abcmiz_1)))), k34_abcmiz_1(k27_abcmiz_1)) &  (k3_finseq_1(D)=k3_finseq_1(k1_msualg_1(k27_abcmiz_1, C)) & k46_abcmiz_1(k27_abcmiz_1, k36_abcmiz_1(k27_abcmiz_1, C, D))=A) ) ) ) ) ) ) ) ) ) ).
fof(d29_abcmiz_a, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k4_abcmiz_a))))  =>  (v7_abcmiz_a(A) <=>  (! [B] :  (m1_subset_1(B, k2_abcmiz_1) =>  (! [C] :  (m3_abcmiz_1(C, k27_abcmiz_1) =>  ( (r2_tarski(B, k1_relset_1(k2_abcmiz_1, A)) & C=k1_funct_1(A, B))  => k48_abcmiz_1(k27_abcmiz_1, C)=k3_abcmiz_1(B)) ) ) ) ) ) ) ) ).
fof(d30_abcmiz_a, axiom,  (! [A] :  (m2_finseq_2(A, k2_abcmiz_1, k4_abcmiz_1) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k4_abcmiz_a))))  =>  (m2_abcmiz_a(B, A) <=>  (k1_relset_1(k2_abcmiz_1, B)=k2_relset_1(k2_abcmiz_1, A) & v7_abcmiz_a(B)) ) ) ) ) ) ).
fof(t60_abcmiz_a, axiom,  (! [A] :  ( (v1_xboole_0(A) & m2_finseq_2(A, k2_abcmiz_1, k4_abcmiz_1))  => m2_abcmiz_a(k1_xboole_0, A)) ) ).
fof(s1_abcmiz_a, axiom,  ( ( (! [A] :  (! [B] :  ~ ( (r2_tarski(A, f1_s1_abcmiz_a) &  (r2_tarski(B, f1_s1_abcmiz_a) &  (p1_s1_abcmiz_a(A, B) & p1_s1_abcmiz_a(B, A)) ) ) ) ) )  &  (! [A] :  (! [B] :  (! [C] :  ( (r2_tarski(A, f1_s1_abcmiz_a) &  (r2_tarski(B, f1_s1_abcmiz_a) &  (r2_tarski(C, f1_s1_abcmiz_a) &  (p1_s1_abcmiz_a(A, B) & p1_s1_abcmiz_a(B, C)) ) ) )  => p1_s1_abcmiz_a(A, C)) ) ) ) )  =>  (? [A] :  (r2_tarski(A, f1_s1_abcmiz_a) &  (! [B] :  ~ ( (r2_tarski(B, f1_s1_abcmiz_a) & p1_s1_abcmiz_a(B, A)) ) ) ) ) ) ).
fof(s2_abcmiz_a, axiom,  ( (! [A] :  (m1_subset_1(A, k1_zfmisc_1(f1_s2_abcmiz_a)) =>  ( (! [B] :  (r2_xboole_0(B, A) => p1_s2_abcmiz_a(B)) )  => p1_s2_abcmiz_a(A)) ) )  => p1_s2_abcmiz_a(f1_s2_abcmiz_a)) ).
fof(s3_abcmiz_a, axiom,  ( ( (! [A] :  (! [B] :  ~ ( (r2_tarski(A, f1_s3_abcmiz_a) &  (r2_tarski(B, f1_s3_abcmiz_a) &  (p1_s3_abcmiz_a(A, B) & p1_s3_abcmiz_a(B, A)) ) ) ) ) )  &  (! [A] :  (! [B] :  (! [C] :  ( (r2_tarski(A, f1_s3_abcmiz_a) &  (r2_tarski(B, f1_s3_abcmiz_a) &  (r2_tarski(C, f1_s3_abcmiz_a) &  (p1_s3_abcmiz_a(A, B) & p1_s3_abcmiz_a(B, C)) ) ) )  => p1_s3_abcmiz_a(A, C)) ) ) ) )  =>  (? [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_funct_1(A) & v1_finseq_1(A)) ) )  &  (k10_xtuple_0(A)=f1_s3_abcmiz_a &  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(B, k4_finseq_1(A)) &  (r2_tarski(C, k4_finseq_1(A)) &  (p1_s3_abcmiz_a(k1_funct_1(A, B), k1_funct_1(A, C)) & r1_xxreal_0(C, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_f1_s1_abcmiz_a, axiom,  ( ~ (v1_xboole_0(f1_s1_abcmiz_a))  & v1_finset_1(f1_s1_abcmiz_a)) ).
fof(dt_f1_s2_abcmiz_a, axiom, v1_finset_1(f1_s2_abcmiz_a)).
fof(dt_f1_s3_abcmiz_a, axiom, v1_finset_1(f1_s3_abcmiz_a)).
fof(dt_k1_abcmiz_a, axiom,  (! [A, B] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) &  (v1_abcmiz_a(A) & l1_msualg_1(A)) ) ) )  &  (v2_abcmiz_1(B, A) & m1_subset_1(B, u4_struct_0(A))) )  => m2_finseq_2(k1_abcmiz_a(A, B), k2_abcmiz_1, k4_abcmiz_1)) ) ).
fof(dt_k2_abcmiz_a, axiom, m1_subset_1(k2_abcmiz_a, k1_zfmisc_1(k3_card_3(u3_msualg_1(k27_abcmiz_1, k1_msafree3(k27_abcmiz_1, k28_abcmiz_1(k27_abcmiz_1))))))).
fof(dt_k3_abcmiz_a, axiom, m1_subset_1(k3_abcmiz_a, k1_zfmisc_1(k3_card_3(u3_msualg_1(k27_abcmiz_1, k1_msafree3(k27_abcmiz_1, k28_abcmiz_1(k27_abcmiz_1))))))).
fof(dt_k5_abcmiz_a, axiom,  ( ~ (v1_xboole_0(k5_abcmiz_a))  & m1_subset_1(k5_abcmiz_a, k1_zfmisc_1(k20_abcmiz_1))) ).
fof(redefinition_k5_abcmiz_a, axiom, k5_abcmiz_a=k17_abcmiz_1).
fof(dt_k6_abcmiz_a, axiom,  ( ~ (v1_xboole_0(k6_abcmiz_a))  & m1_subset_1(k6_abcmiz_a, k1_zfmisc_1(k20_abcmiz_1))) ).
fof(redefinition_k6_abcmiz_a, axiom, k6_abcmiz_a=k18_abcmiz_1).
fof(dt_k7_abcmiz_a, axiom,  ( ~ (v1_xboole_0(k7_abcmiz_a))  & m1_subset_1(k7_abcmiz_a, k1_zfmisc_1(k20_abcmiz_1))) ).
fof(redefinition_k7_abcmiz_a, axiom, k7_abcmiz_a=k19_abcmiz_1).
fof(dt_k8_abcmiz_a, axiom, m2_subset_1(k8_abcmiz_a, k20_abcmiz_1, k5_abcmiz_a)).
fof(dt_m1_abcmiz_a, axiom,  (! [A, B] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  & m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))))  =>  (! [C] :  (m1_abcmiz_a(C, A, B) => m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))))) ) ) ) ).
fof(existence_m1_abcmiz_a, axiom,  (! [A, B] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  & m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))))  =>  (? [C] : m1_abcmiz_a(C, A, B)) ) ) ).
fof(dt_k11_abcmiz_a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))))) )  =>  (v1_relat_1(k11_abcmiz_a(A, B, C)) &  (v1_funct_1(k11_abcmiz_a(A, B, C)) &  (v1_finseq_1(k11_abcmiz_a(A, B, C)) & v6_trees_3(k11_abcmiz_a(A, B, C))) ) ) ) ) ).
fof(dt_k12_abcmiz_a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))))) )  => m2_finseq_1(k12_abcmiz_a(A, B, C), k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))))) ) ).
fof(redefinition_k12_abcmiz_a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))))) )  => k12_abcmiz_a(A, B, C)=k11_abcmiz_a(A, B, C)) ) ).
fof(dt_k13_abcmiz_a, axiom,  (! [A, B] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  (v2_abcmiz_1(B, A) &  (v4_abcmiz_a(B, A) & m2_abcmiz_1(B, A, k12_abcmiz_1(A))) ) )  =>  (v9_abcmiz_1(k13_abcmiz_a(A, B), A) & m1_abcmiz_1(k13_abcmiz_a(A, B), A, k12_abcmiz_1(A))) ) ) ).
fof(redefinition_k13_abcmiz_a, axiom,  (! [A, B] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  (v2_abcmiz_1(B, A) &  (v4_abcmiz_a(B, A) & m2_abcmiz_1(B, A, k12_abcmiz_1(A))) ) )  => k13_abcmiz_a(A, B)=k29_abcmiz_1(A, B)) ) ).
fof(dt_k14_abcmiz_a, axiom,  (! [A] :  (m1_subset_1(A, k20_abcmiz_1) =>  (v2_abcmiz_1(k14_abcmiz_a(A), k27_abcmiz_1) & m1_subset_1(k14_abcmiz_a(A), u4_struct_0(k27_abcmiz_1))) ) ) ).
fof(dt_k15_abcmiz_a, axiom,  (! [A] :  (m1_subset_1(A, k5_abcmiz_a) =>  (v2_abcmiz_1(k15_abcmiz_a(A), k27_abcmiz_1) & m2_abcmiz_1(k15_abcmiz_a(A), k27_abcmiz_1, k12_abcmiz_1(k27_abcmiz_1))) ) ) ).
fof(redefinition_k15_abcmiz_a, axiom,  (! [A] :  (m1_subset_1(A, k5_abcmiz_a) => k15_abcmiz_a(A)=k14_abcmiz_a(A)) ) ).
fof(dt_k16_abcmiz_a, axiom, m3_abcmiz_1(k16_abcmiz_a, k27_abcmiz_1)).
fof(dt_k17_abcmiz_a, axiom,  (! [A] :  (m1_finseq_1(A, k2_abcmiz_1) => m1_trees_4(k17_abcmiz_a(A), k3_card_3(u3_msualg_1(k27_abcmiz_1, k1_msafree3(k27_abcmiz_1, k28_abcmiz_1(k27_abcmiz_1)))), k34_abcmiz_1(k27_abcmiz_1))) ) ).
fof(dt_k18_abcmiz_a, axiom,  (! [A] :  (m1_subset_1(A, k20_abcmiz_1) => m1_subset_1(k18_abcmiz_a(A), k3_card_3(u3_msualg_1(k27_abcmiz_1, k1_msafree3(k27_abcmiz_1, k28_abcmiz_1(k27_abcmiz_1)))))) ) ).
fof(reflexivity_r1_abcmiz_a, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) & m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))))) )  => r1_abcmiz_a(A, B, B)) ) ).
fof(reflexivity_r2_abcmiz_a, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  (m1_subset_1(B, k1_zfmisc_1(k38_abcmiz_1(A))) & m1_subset_1(C, k1_zfmisc_1(k38_abcmiz_1(A)))) )  => r2_abcmiz_a(A, B, B)) ) ).
fof(reflexivity_r3_abcmiz_a, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  (m3_abcmiz_1(B, A) & m3_abcmiz_1(C, A)) )  => r3_abcmiz_a(A, B, B)) ) ).
fof(symmetry_r5_abcmiz_a, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) & m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))))) )  =>  (r5_abcmiz_a(A, B, C) => r5_abcmiz_a(A, C, B)) ) ) ).
fof(reflexivity_r5_abcmiz_a, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) & m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))))) )  => r5_abcmiz_a(A, B, B)) ) ).
fof(reflexivity_r6_abcmiz_a, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  &  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) & m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A)))))) )  => r6_abcmiz_a(A, B, B)) ) ).
fof(dt_m2_abcmiz_a, axiom,  (! [A] :  (m1_subset_1(A, k4_abcmiz_1) =>  (! [B] :  (m2_abcmiz_a(B, A) =>  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1, k4_abcmiz_a)))) ) ) ) ) ).
fof(existence_m2_abcmiz_a, axiom,  (! [A] :  (m1_subset_1(A, k4_abcmiz_1) =>  (? [B] : m2_abcmiz_a(B, A)) ) ) ).
fof(d8_abcmiz_a, axiom,  (! [A] :  ( (v1_instalg1(A) &  (v1_abcmiz_1(A) &  (v3_abcmiz_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k1_msafree3(A, k28_abcmiz_1(A))))) => k9_abcmiz_a(A, B)=k3_xboole_0(k9_xtuple_0(k10_xtuple_0(B)), a_1_0_abcmiz_a(A))) ) ) ) ).
fof(d12_abcmiz_a, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (v3_abcmiz_a(A) <=>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ (v1_finset_1(a_3_0_abcmiz_a(A, B, C))) ) ) ) ) ) ) ) ).
fof(d20_abcmiz_a, axiom,  (! [A] :  (m3_abcmiz_1(A, k27_abcmiz_1) => k19_abcmiz_a(A)=k2_xboole_0(k9_abcmiz_a(k27_abcmiz_1, k42_abcmiz_1(k27_abcmiz_1, A)), k3_tarski(a_1_1_abcmiz_a(A)))) ) ).
fof(t48_abcmiz_a, axiom,  (! [A] :  ( (v9_abcmiz_1(A, k27_abcmiz_1) & m1_abcmiz_1(A, k27_abcmiz_1, k12_abcmiz_1(k27_abcmiz_1)))  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k38_abcmiz_1(k27_abcmiz_1))))  => k19_abcmiz_a(k40_abcmiz_1(k27_abcmiz_1, B, A))=k2_xboole_0(k9_abcmiz_a(k27_abcmiz_1, A), k3_tarski(a_1_2_abcmiz_a(B)))) ) ) ) ).
fof(fraenkel_a_1_0_abcmiz_a, axiom,  (! [A, B] :  ( (v1_instalg1(B) &  (v1_abcmiz_1(B) &  (v3_abcmiz_1(B) & l1_msualg_1(B)) ) )  =>  (r2_hidden(A, a_1_0_abcmiz_a(B)) <=>  (? [C] :  ( (v2_abcmiz_1(C, B) & m1_subset_1(C, u4_struct_0(B)))  & A=C) ) ) ) ) ).
fof(fraenkel_a_3_0_abcmiz_a, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) )  &  (v7_ordinal1(C) & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_0_abcmiz_a(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u4_struct_0(B)) &  (A=E &  (k2_msualg_1(B, E)=D & k3_finseq_1(k1_msualg_1(B, E))=C) ) ) ) ) ) ) ).
fof(fraenkel_a_1_1_abcmiz_a, axiom,  (! [A, B] :  (m3_abcmiz_1(B, k27_abcmiz_1) =>  (r2_hidden(A, a_1_1_abcmiz_a(B)) <=>  (? [C] :  ( (v8_abcmiz_1(C, k27_abcmiz_1) & m1_abcmiz_1(C, k27_abcmiz_1, k13_abcmiz_1(k27_abcmiz_1)))  &  (A=k9_abcmiz_a(k27_abcmiz_1, C) & r2_tarski(C, k41_abcmiz_1(k27_abcmiz_1, B))) ) ) ) ) ) ).
fof(fraenkel_a_1_2_abcmiz_a, axiom,  (! [A, B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k38_abcmiz_1(k27_abcmiz_1))))  =>  (r2_hidden(A, a_1_2_abcmiz_a(B)) <=>  (? [C] :  ( (v8_abcmiz_1(C, k27_abcmiz_1) & m1_abcmiz_1(C, k27_abcmiz_1, k13_abcmiz_1(k27_abcmiz_1)))  &  (A=k9_abcmiz_a(k27_abcmiz_1, C) & r2_tarski(C, B)) ) ) ) ) ) ).
fof(rc1_abian, axiom,  (? [A] :  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) & v1_abian(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_abian, axiom,  (? [A] :  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  ~ (v1_abian(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_abian, axiom,  (? [A] :  (m1_subset_1(A, k4_ordinal1) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_rat_1(A) & v1_abian(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc4_abian, axiom,  (? [A] :  (m1_subset_1(A, k4_ordinal1) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_rat_1(A) &  ~ (v1_abian(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc5_abian, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) & v1_abian(A)) ) ) ) ) ).
fof(rc6_abian, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  ~ (v1_abian(A)) ) ) ) ) ) ).
fof(fc1_abian, axiom,  (! [A] :  (v1_int_1(A) => v1_abian(k3_xcmplx_0(2, A))) ) ).
fof(fc2_abian, axiom,  (! [A] :  ( (v1_int_1(A) & v1_abian(A))  =>  ~ (v1_abian(k2_xcmplx_0(A, 1))) ) ) ).
fof(fc3_abian, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v1_abian(A)) )  => v1_abian(k2_xcmplx_0(A, 1))) ) ).
fof(fc4_abian, axiom,  (! [A] :  ( (v1_int_1(A) & v1_abian(A))  =>  ~ (v1_abian(k6_xcmplx_0(A, 1))) ) ) ).
fof(fc5_abian, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v1_abian(A)) )  => v1_abian(k6_xcmplx_0(A, 1))) ) ).
fof(fc6_abian, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_abian(A))  & v1_int_1(B))  => v1_abian(k3_xcmplx_0(A, B))) ) ).
fof(fc7_abian, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_abian(A))  & v1_int_1(B))  => v1_abian(k3_xcmplx_0(B, A))) ) ).
fof(fc8_abian, axiom,  (! [A, B] :  ( ( (v1_int_1(A) &  ~ (v1_abian(A)) )  &  (v1_int_1(B) &  ~ (v1_abian(B)) ) )  =>  ~ (v1_abian(k3_xcmplx_0(A, B))) ) ) ).
fof(fc9_abian, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_abian(A))  &  (v1_int_1(B) & v1_abian(B)) )  => v1_abian(k2_xcmplx_0(A, B))) ) ).
fof(fc10_abian, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_abian(A))  &  (v1_int_1(B) &  ~ (v1_abian(B)) ) )  =>  ~ (v1_abian(k2_xcmplx_0(A, B))) ) ) ).
fof(fc11_abian, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_abian(A))  &  (v1_int_1(B) &  ~ (v1_abian(B)) ) )  =>  ~ (v1_abian(k2_xcmplx_0(B, A))) ) ) ).
fof(fc12_abian, axiom,  (! [A, B] :  ( ( (v1_int_1(A) &  ~ (v1_abian(A)) )  &  (v1_int_1(B) &  ~ (v1_abian(B)) ) )  => v1_abian(k2_xcmplx_0(A, B))) ) ).
fof(fc13_abian, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_abian(A))  &  (v1_int_1(B) &  ~ (v1_abian(B)) ) )  =>  ~ (v1_abian(k6_xcmplx_0(A, B))) ) ) ).
fof(fc14_abian, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_abian(A))  &  (v1_int_1(B) &  ~ (v1_abian(B)) ) )  =>  ~ (v1_abian(k6_xcmplx_0(B, A))) ) ) ).
fof(fc15_abian, axiom,  (! [A, B] :  ( ( (v1_int_1(A) &  ~ (v1_abian(A)) )  &  (v1_int_1(B) &  ~ (v1_abian(B)) ) )  => v1_abian(k6_xcmplx_0(A, B))) ) ).
fof(fc16_abian, axiom,  (! [A] :  ( (v1_int_1(A) & v1_abian(A))  => v1_abian(k2_xcmplx_0(A, 2))) ) ).
fof(fc17_abian, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v1_abian(A)) )  =>  ~ (v1_abian(k2_xcmplx_0(A, 2))) ) ) ).
fof(rc7_abian, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) &  ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) & v3_abian(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ) ) ).
fof(cc1_abian, axiom,  (! [A] :  (v2_setfam_1(A) => v1_zfmisc_1(A)) ) ).
fof(rc8_abian, axiom,  (! [A, B] :  ( ~ (v2_setfam_1(B))  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_funct_2(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(fc18_abian, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_setfam_1(B))  &  ( (v2_relat_1(C) &  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  & m1_subset_1(D, A)) ) )  =>  ~ (v1_xboole_0(k1_funct_1(C, D))) ) ) ).
fof(fc19_abian, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v2_setfam_1(k1_zfmisc_1(A))) ) ) ).
fof(rc9_abian, axiom,  (? [A] :  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  ~ (v1_abian(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc10_abian, axiom,  (? [A] :  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) & v1_abian(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(cc2_abian, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v1_abian(A)) )  =>  ( ~ (v8_ordinal1(A))  & v1_int_1(A)) ) ) ).
fof(d1_abian, axiom,  (! [A] :  (v1_int_1(A) =>  (v1_abian(A) <=> r1_int_1(2, A)) ) ) ).
fof(d2_abian, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_abian(A) <=>  (? [B] :  (v7_ordinal1(B) & A=k3_xcmplx_0(2, B)) ) ) ) ) ).
fof(t1_abian, axiom,  (! [A] :  (v1_int_1(A) =>  ( ~ ( ( ~ (v1_abian(A))  &  (! [B] :  (v1_int_1(B) =>  ~ (A=k2_xcmplx_0(k3_xcmplx_0(2, B), 1)) ) ) ) )  &  ~ ( ( (? [B] :  (v1_int_1(B) & A=k2_xcmplx_0(k3_xcmplx_0(2, B), 1)) )  & v1_abian(A)) ) ) ) ) ).
fof(t2_abian, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k4_ordinal1)))  =>  (r2_tarski(k5_numbers, A) => k4_seq_4(A)=k5_numbers) ) ) ).
fof(t3_abian, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (! [C] :  (m1_subset_1(C, A) => k3_funct_2(A, A, k1_abian(A, B, k5_numbers), C)=C) ) ) ) ) ) ).
fof(d3_abian, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_abian(A, B) <=>  (r2_hidden(A, k9_xtuple_0(B)) & A=k1_funct_1(B, A)) ) ) ) ) ).
fof(d4_abian, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (r2_abian(A, B, C) <=> B=k3_funct_2(A, A, C, B)) ) ) ) ) ) ) ).
fof(d5_abian, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v2_abian(A) <=>  (? [B] : r1_abian(B, A)) ) ) ) ).
fof(d6_abian, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, A) =>  (v3_abian(B, A) <=> k3_tarski(B)=k3_tarski(k3_tarski(A))) ) ) ) ).
fof(t4_abian, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (v3_abian(B, k1_zfmisc_1(k1_zfmisc_1(A))) <=> k5_setfam_1(A, B)=A) ) ) ) ).
fof(t5_abian, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v3_abian(C, k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) )  =>  ~ ( ( (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), C) => r1_xboole_0(D, k7_relat_1(B, D))) )  & v2_abian(B)) ) ) ) ) ) ) ).
fof(d7_abian, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (! [C] :  ( (v1_partfun1(C, A) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (C=k2_abian(A, B) <=>  (! [D] :  (! [E] :  ( (r2_tarski(D, A) & r2_tarski(E, A))  =>  (r2_hidden(k4_tarski(D, E), C) <=>  (? [F] :  (v7_ordinal1(F) &  (? [G] :  (v7_ordinal1(G) & k1_funct_1(k1_abian(A, B, F), D)=k1_funct_1(k1_abian(A, B, G), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_abian, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(A), k8_eqrel_1(A, k2_abian(A, B))) =>  (! [D] :  (m2_subset_1(D, A, C) => r2_tarski(k3_funct_2(A, A, B, D), C)) ) ) ) ) ) ) ) ).
fof(t7_abian, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(A), k8_eqrel_1(A, k2_abian(A, B))) =>  (! [D] :  (m2_subset_1(D, A, C) =>  (! [E] :  (v7_ordinal1(E) => r2_tarski(k3_funct_2(A, A, k1_abian(A, B, E), D), C)) ) ) ) ) ) ) ) ) ) ).
fof(t8_abian, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  ~ ( ( ~ (v2_abian(B))  &  (! [C] :  (! [D] :  (! [E] :  ~ ( (k2_xboole_0(k2_xboole_0(C, D), E)=A &  (r1_xboole_0(k7_relat_1(B, C), C) &  (r1_xboole_0(k7_relat_1(B, D), D) & r1_xboole_0(k7_relat_1(B, E), E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_abian, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ ( ( ~ (v1_abian(A))  &  (! [B] :  (v7_ordinal1(B) =>  ~ (A=k1_nat_1(k3_xcmplx_0(2, B), 1)) ) ) ) )  &  ~ ( ( (? [B] :  (v7_ordinal1(B) & A=k1_nat_1(k3_xcmplx_0(2, B), 1)) )  & v1_abian(A)) ) ) ) ) ).
fof(t10_abian, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B)))) )  =>  (! [D] :  (m1_subset_1(D, B) => k3_funct_2(B, B, k1_abian(B, C, k1_nat_1(A, 1)), D)=k3_funct_2(B, B, C, k3_funct_2(B, B, k1_abian(B, C, A), D))) ) ) ) ) ) ) ) ).
fof(t11_abian, axiom,  (! [A] :  (v1_int_1(A) =>  (v1_abian(A) <=>  (? [B] :  (v1_int_1(B) & A=k3_xcmplx_0(2, B)) ) ) ) ) ).
fof(t12_abian, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_abian(A)) )  => r1_xxreal_0(1, A)) ) ).
fof(dt_k1_abian, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  & v7_ordinal1(C))  =>  (v1_funct_1(k1_abian(A, B, C)) &  (v1_funct_2(k1_abian(A, B, C), A, A) & m1_subset_1(k1_abian(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ).
fof(redefinition_k1_abian, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  & v7_ordinal1(C))  => k1_abian(A, B, C)=k8_funct_7(B, C)) ) ).
fof(redefinition_r2_abian, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (v1_funct_1(C) &  (v1_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  =>  (r2_abian(A, B, C) <=> r1_abian(B, C)) ) ) ).
fof(dt_k2_abian, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (v1_partfun1(k2_abian(A, B), A) &  (v3_relat_2(k2_abian(A, B)) &  (v8_relat_2(k2_abian(A, B)) & m1_subset_1(k2_abian(A, B), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ).
fof(rc1_absred_0, axiom,  (? [A] :  (l1_absred_0(A) & v1_absred_0(A)) ) ).
fof(fc1_absred_0, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  ( ~ (v2_struct_0(g1_absred_0(A, B)))  & v1_absred_0(g1_absred_0(A, B))) ) ) ).
fof(rc2_absred_0, axiom,  (? [A] :  (l1_absred_0(A) &  ( ~ (v2_struct_0(A))  & v1_absred_0(A)) ) ) ).
fof(fc2_absred_0, axiom,  ( ~ (v2_struct_0(k1_absred_0))  & v1_absred_0(k1_absred_0)) ).
fof(fc3_absred_0, axiom,  ( ~ (v2_struct_0(k2_absred_0))  & v1_absred_0(k2_absred_0)) ).
fof(cc1_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v2_absred_0(B, A) => v3_absred_0(B, A)) ) ) ) ) ).
fof(cc2_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (v5_absred_0(A) => v4_absred_0(A)) ) ) ).
fof(cc3_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (v8_absred_0(A) => v6_absred_0(A)) ) ) ).
fof(cc4_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (v8_absred_0(A) => v7_absred_0(A)) ) ) ).
fof(cc5_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (v7_absred_0(A) => v6_absred_0(A)) ) ) ).
fof(cc6_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  ( (v4_absred_0(A) & v6_absred_0(A))  => v8_absred_0(A)) ) ) ).
fof(cc7_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  ( (v4_absred_0(A) & v6_absred_0(A))  => v7_absred_0(A)) ) ) ).
fof(cc8_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (v9_absred_0(A) => v10_absred_0(A)) ) ) ).
fof(cc9_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (v9_absred_0(A) => v11_absred_0(A)) ) ) ).
fof(cc10_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (v11_absred_0(A) => v12_absred_0(A)) ) ) ).
fof(cc11_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (v11_absred_0(A) => v10_absred_0(A)) ) ) ).
fof(cc12_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (v10_absred_0(A) => v11_absred_0(A)) ) ) ).
fof(cc13_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  ( (v5_absred_0(A) & v12_absred_0(A))  => v11_absred_0(A)) ) ) ).
fof(cc14_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (v11_absred_0(A) => v8_absred_0(A)) ) ) ).
fof(cc15_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  ( (v4_absred_0(A) & v7_absred_0(A))  => v11_absred_0(A)) ) ) ).
fof(cc16_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  ( (v5_absred_0(A) & v11_absred_0(A))  => v13_absred_0(A)) ) ) ).
fof(cc17_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (v13_absred_0(A) =>  (v4_absred_0(A) &  (v6_absred_0(A) &  (v7_absred_0(A) &  (v8_absred_0(A) &  (v11_absred_0(A) & v12_absred_0(A)) ) ) ) ) ) ) ) ).
fof(cc18_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  ( (v4_absred_0(A) & v6_absred_0(A))  => v11_absred_0(A)) ) ) ).
fof(cc19_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  ( (v5_absred_0(A) & v6_absred_0(A))  => v13_absred_0(A)) ) ) ).
fof(rc3_absred_0, axiom,  (? [A] :  (l2_absred_0(A) & v14_absred_0(A)) ) ).
fof(rc4_absred_0, axiom,  (? [A] :  (l2_absred_0(A) &  ( ~ (v2_struct_0(A))  &  (v4_unialg_1(A) & v14_absred_0(A)) ) ) ) ).
fof(cc20_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_unialg_1(A) & l1_unialg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_pua2mss1(u1_struct_0(A), u1_unialg_1(A))) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(cc21_absred_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_unialg_1(A) & l1_unialg_1(A)) )  & m1_subset_1(B, k1_pua2mss1(u1_struct_0(A), u1_unialg_1(A))))  =>  (! [C] :  (m1_subset_1(C, k1_relset_1(k3_finseq_2(u1_struct_0(A)), B)) =>  (v1_relat_1(C) & v1_funct_1(C)) ) ) ) ) ).
fof(cc22_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_pua2mss1(u1_struct_0(A), u1_unialg_1(A))) => v2_margrel1(B)) ) ) ) ).
fof(cc23_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_pua2mss1(u1_struct_0(A), u1_unialg_1(A))) => v3_margrel1(B, u1_struct_0(A))) ) ) ) ).
fof(fc4_absred_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_finseq_1(B, k4_partfun1(k3_finseq_2(A), A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  ( ~ (v2_struct_0(g2_absred_0(A, B, C)))  & v14_absred_0(g2_absred_0(A, B, C))) ) ) ).
fof(fc5_absred_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v2_relat_1(B) &  ( ~ (v1_xboole_0(B))  & m1_finseq_1(B, k4_partfun1(k3_finseq_2(A), A))) )  & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (v4_unialg_1(g2_absred_0(A, B, C)) & v14_absred_0(g2_absred_0(A, B, C))) ) ) ).
fof(fc6_absred_0, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  =>  ( ~ (v2_struct_0(k5_absred_0(A, B)))  &  (v2_unialg_1(k5_absred_0(A, B)) &  (v3_unialg_1(k5_absred_0(A, B)) &  (v4_unialg_1(k5_absred_0(A, B)) &  (v14_absred_0(k5_absred_0(A, B)) &  (v15_absred_0(k5_absred_0(A, B)) & v16_absred_0(k5_absred_0(A, B))) ) ) ) ) ) ) ) ).
fof(rc5_absred_0, axiom,  (? [A] :  (l2_absred_0(A) &  ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v14_absred_0(A) &  (v15_absred_0(A) & v16_absred_0(A)) ) ) ) ) ) ) ) ).
fof(d1_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_absred_0(A, B, C) <=> r2_hidden(k4_tarski(B, C), u1_absred_0(A))) ) ) ) ) ) ) ).
fof(d2_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_absred_0(A, B, C) <=>  (B=C | r1_absred_0(A, B, C)) ) ) ) ) ) ) ) ).
fof(d3_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_absred_0(A, B, C) <=> r1_rewrite1(u1_absred_0(A), B, C)) ) ) ) ) ) ) ).
fof(t1_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r1_absred_0(A, B, C) & v2_struct_0(A)) ) ) ) ) ) ) ) ).
fof(t2_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_absred_0(A, B, C) => r3_absred_0(A, B, C)) ) ) ) ) ) ) ).
fof(t3_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r3_absred_0(A, B, C) & r3_absred_0(A, C, D))  => r3_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d4_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r4_absred_0(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (r1_absred_0(A, B, D) & r3_absred_0(A, D, C)) ) ) ) ) ) ) ) ) ) ).
fof(t4_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r4_absred_0(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (r3_absred_0(A, B, D) & r1_absred_0(A, D, C)) ) ) ) ) ) ) ) ) ) ).
fof(d5_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r5_absred_0(A, B, C) <=>  (r1_absred_0(A, B, C) | r1_absred_0(A, C, B)) ) ) ) ) ) ) ) ).
fof(t5_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r5_absred_0(A, B, C) <=> r2_hidden(k4_tarski(B, C), k3_eqrel_1(u1_struct_0(A), u1_absred_0(A), k3_relset_1(u1_struct_0(A), u1_struct_0(A), u1_absred_0(A))))) ) ) ) ) ) ) ).
fof(d6_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r6_absred_0(A, B, C) <=>  (B=C | r5_absred_0(A, B, C)) ) ) ) ) ) ) ) ).
fof(d7_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r7_absred_0(A, B, C) <=> r2_rewrite1(u1_absred_0(A), B, C)) ) ) ) ) ) ) ).
fof(t6_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r5_absred_0(A, B, C) => r7_absred_0(A, B, C)) ) ) ) ) ) ) ).
fof(t7_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r7_absred_0(A, B, C) & r7_absred_0(A, C, D))  => r7_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d8_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r8_absred_0(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (r5_absred_0(A, B, D) & r7_absred_0(A, D, C)) ) ) ) ) ) ) ) ) ) ).
fof(t8_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r8_absred_0(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (r7_absred_0(A, B, D) & r5_absred_0(A, D, C)) ) ) ) ) ) ) ) ) ) ).
fof(t9_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_absred_0(A, B, C) => r3_absred_0(A, B, C)) ) ) ) ) ) ) ).
fof(t10_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r4_absred_0(A, B, C) => r3_absred_0(A, B, C)) ) ) ) ) ) ) ).
fof(t11_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_absred_0(A, B, C) => r4_absred_0(A, B, C)) ) ) ) ) ) ) ).
fof(t12_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_absred_0(A, B, C) & r1_absred_0(A, C, D))  => r3_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t13_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_absred_0(A, B, C) & r2_absred_0(A, C, D))  => r3_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t14_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_absred_0(A, B, C) & r3_absred_0(A, C, D))  => r3_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t15_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_absred_0(A, B, C) & r4_absred_0(A, C, D))  => r3_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t16_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_absred_0(A, B, C) & r1_absred_0(A, C, D))  => r3_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t17_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_absred_0(A, B, C) & r2_absred_0(A, C, D))  => r3_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t18_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_absred_0(A, B, C) & r3_absred_0(A, C, D))  => r3_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t19_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_absred_0(A, B, C) & r4_absred_0(A, C, D))  => r3_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t20_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r3_absred_0(A, B, C) & r1_absred_0(A, C, D))  => r3_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t21_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r3_absred_0(A, B, C) & r2_absred_0(A, C, D))  => r3_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t22_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r3_absred_0(A, B, C) & r4_absred_0(A, C, D))  => r3_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t23_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r4_absred_0(A, B, C) & r1_absred_0(A, C, D))  => r3_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t24_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r4_absred_0(A, B, C) & r2_absred_0(A, C, D))  => r3_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t25_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r4_absred_0(A, B, C) & r4_absred_0(A, C, D))  => r3_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t26_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_absred_0(A, B, C) & r1_absred_0(A, C, D))  => r4_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t27_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_absred_0(A, B, C) & r2_absred_0(A, C, D))  => r4_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t28_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_absred_0(A, B, C) & r4_absred_0(A, C, D))  => r4_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t29_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_absred_0(A, B, C) & r1_absred_0(A, C, D))  => r4_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t30_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_absred_0(A, B, C) & r4_absred_0(A, C, D))  => r4_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t31_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r3_absred_0(A, B, C) & r4_absred_0(A, C, D))  => r4_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t32_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r4_absred_0(A, B, C) & r1_absred_0(A, C, D))  => r4_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t33_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r4_absred_0(A, B, C) & r2_absred_0(A, C, D))  => r4_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t34_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r4_absred_0(A, B, C) & r3_absred_0(A, C, D))  => r4_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t35_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r4_absred_0(A, B, C) & r4_absred_0(A, C, D))  => r4_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t36_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r6_absred_0(A, B, C) => r7_absred_0(A, B, C)) ) ) ) ) ) ) ).
fof(t37_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r8_absred_0(A, B, C) => r7_absred_0(A, B, C)) ) ) ) ) ) ) ).
fof(t38_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r5_absred_0(A, B, C) => r8_absred_0(A, B, C)) ) ) ) ) ) ) ).
fof(t39_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r5_absred_0(A, B, C) & r5_absred_0(A, C, D))  => r7_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t40_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r5_absred_0(A, B, C) & r6_absred_0(A, C, D))  => r7_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t41_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r6_absred_0(A, B, C) & r5_absred_0(A, C, D))  => r7_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t42_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r5_absred_0(A, B, C) & r7_absred_0(A, C, D))  => r7_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t43_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r7_absred_0(A, B, C) & r5_absred_0(A, C, D))  => r7_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t44_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r5_absred_0(A, B, C) & r8_absred_0(A, C, D))  => r7_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t45_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r8_absred_0(A, B, C) & r5_absred_0(A, C, D))  => r7_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t46_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r6_absred_0(A, B, C) & r6_absred_0(A, C, D))  => r7_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t47_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r6_absred_0(A, B, C) & r7_absred_0(A, C, D))  => r7_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t48_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r7_absred_0(A, B, C) & r6_absred_0(A, C, D))  => r7_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t49_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r6_absred_0(A, B, C) & r8_absred_0(A, C, D))  => r7_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t50_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r8_absred_0(A, B, C) & r6_absred_0(A, C, D))  => r7_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t51_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r7_absred_0(A, B, C) & r8_absred_0(A, C, D))  => r7_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t52_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r8_absred_0(A, B, C) & r8_absred_0(A, C, D))  => r7_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t53_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r5_absred_0(A, B, C) & r5_absred_0(A, C, D))  => r8_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t54_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r5_absred_0(A, B, C) & r6_absred_0(A, C, D))  => r8_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t55_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r5_absred_0(A, B, C) & r8_absred_0(A, C, D))  => r8_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t56_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r6_absred_0(A, B, C) & r8_absred_0(A, C, D))  => r8_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t57_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r7_absred_0(A, B, C) & r8_absred_0(A, C, D))  => r8_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t58_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r8_absred_0(A, B, C) & r8_absred_0(A, C, D))  => r8_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t59_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r6_absred_0(A, B, C) &  ( ~ (r1_absred_0(A, C, B))  &  ( ~ (B=C)  &  ~ (r1_absred_0(A, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ ( ( ~ (r1_absred_0(A, C, B))  &  ( ~ (B=C)  &  ~ (r1_absred_0(A, B, C)) ) ) )  => r6_absred_0(A, B, C)) ) ) ) ) ) ) ).
fof(t61_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r6_absred_0(A, B, C) &  ( ~ (r2_absred_0(A, C, B))  &  ~ (r1_absred_0(A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t62_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (r2_absred_0(A, C, B) | r1_absred_0(A, B, C))  => r6_absred_0(A, B, C)) ) ) ) ) ) ) ).
fof(t63_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r6_absred_0(A, B, C) &  ( ~ (r2_absred_0(A, C, B))  &  ~ (r4_absred_0(A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t64_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r6_absred_0(A, B, C) &  ( ~ (r2_absred_0(A, C, B))  &  ~ (r5_absred_0(A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t65_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (r2_absred_0(A, C, B) | r5_absred_0(A, B, C))  => r6_absred_0(A, B, C)) ) ) ) ) ) ) ).
fof(t66_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r7_absred_0(A, B, C) & r1_absred_0(A, C, D))  => r8_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t67_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r8_absred_0(A, B, C) & r1_absred_0(A, C, D))  => r8_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t68_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r6_absred_0(A, B, C) &  ( ~ (r2_absred_0(A, C, B))  &  ~ (r1_absred_0(A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t69_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r6_absred_0(A, B, C) &  ( ~ (r2_absred_0(A, C, B))  &  ~ (r4_absred_0(A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t70_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (r2_absred_0(A, C, B) | r1_absred_0(A, B, C))  => r6_absred_0(A, B, C)) ) ) ) ) ) ) ).
fof(t71_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (r2_absred_0(A, C, B) | r5_absred_0(A, B, C))  => r6_absred_0(A, B, C)) ) ) ) ) ) ) ).
fof(t72_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r6_absred_0(A, B, C) &  ( ~ (r2_absred_0(A, C, B))  &  ~ (r5_absred_0(A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t73_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r8_absred_0(A, B, C) & r1_absred_0(A, C, D))  => r8_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t74_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r7_absred_0(A, B, C) & r1_absred_0(A, C, D))  => r8_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t75_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r6_absred_0(A, B, C) & r1_absred_0(A, C, D))  => r8_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t76_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r8_absred_0(A, B, C) & r2_absred_0(A, C, D))  => r8_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t77_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r5_absred_0(A, B, C) & r2_absred_0(A, C, D))  => r8_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t78_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_absred_0(A, C, D) &  (r1_absred_0(A, D, E) & r1_absred_0(A, E, B)) )  => r4_absred_0(A, C, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t79_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_absred_0(A, C, D) &  (r2_absred_0(A, D, E) & r1_absred_0(A, E, B)) )  => r4_absred_0(A, C, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t80_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_absred_0(A, C, D) &  (r3_absred_0(A, D, E) & r1_absred_0(A, E, B)) )  => r4_absred_0(A, C, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t81_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_absred_0(A, C, D) &  (r4_absred_0(A, D, E) & r1_absred_0(A, E, B)) )  => r4_absred_0(A, C, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t82_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_absred_0(A, B, C) => r7_absred_0(A, B, C)) ) ) ) ) ) ) ).
fof(t83_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_absred_0(A, C, B) & r1_absred_0(A, C, D))  => r1_absred_0(A, D, B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_absred_0(A, C, B) & r3_absred_0(A, C, D))  => r1_absred_0(A, D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t84_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_absred_0(A, B, C) => r1_absred_0(A, C, B)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r7_absred_0(A, B, C) => r3_absred_0(A, B, C)) ) ) ) ) ) ) ) ).
fof(t85_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r3_absred_0(A, B, C) &  ( ~ (B=C)  &  ~ (r4_absred_0(A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t86_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_absred_0(A, B, C) & r1_absred_0(A, C, D))  => r1_absred_0(A, B, D)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r4_absred_0(A, B, C) => r1_absred_0(A, B, C)) ) ) ) ) ) ) ) ).
fof(d9_absred_0, axiom,  (! [A] :  ( (v1_absred_0(A) & l1_absred_0(A))  =>  (A=k1_absred_0 <=>  (u1_struct_0(A)=k2_tarski(k5_ordinal1, 1) & u1_absred_0(A)=k2_zfmisc_1(k1_tarski(k5_ordinal1), k2_tarski(k5_ordinal1, 1))) ) ) ) ).
fof(d10_absred_0, axiom,  (! [A] :  ( (v1_absred_0(A) & l1_absred_0(A))  =>  (A=k2_absred_0 <=>  (u1_struct_0(A)=k1_enumset1(k5_ordinal1, 1, 2) & u1_absred_0(A)=k2_zfmisc_1(k1_tarski(k5_ordinal1), k1_enumset1(k5_ordinal1, 1, 2))) ) ) ) ).
fof(t87_absred_0, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_absred_0)) <=>  (A=k5_ordinal1 | A=1) ) ) ).
fof(t88_absred_0, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_absred_0)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_absred_0)) =>  (r1_absred_0(k1_absred_0, A, B) <=> A=k5_ordinal1) ) ) ) ) ).
fof(t89_absred_0, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_absred_0)) <=>  ~ ( ( ~ (A=k5_ordinal1)  &  ( ~ (A=1)  &  ~ (A=2) ) ) ) ) ) ).
fof(t90_absred_0, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_absred_0)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_absred_0)) =>  (r1_absred_0(k2_absred_0, A, B) <=> A=k5_ordinal1) ) ) ) ) ).
fof(d11_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v2_absred_0(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ (r1_absred_0(A, B, C)) ) ) ) ) ) ) ) ).
fof(t91_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v2_absred_0(B, A) <=> r3_rewrite1(u1_absred_0(A), B)) ) ) ) ) ).
fof(d12_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r9_absred_0(A, B, C) <=>  (v2_absred_0(B, A) & r3_absred_0(A, C, B)) ) ) ) ) ) ) ) ).
fof(t92_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r9_absred_0(A, B, C) <=> r4_rewrite1(u1_absred_0(A), C, B)) ) ) ) ) ) ) ).
fof(d13_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v3_absred_0(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & r9_absred_0(A, C, B)) ) ) ) ) ) ) ).
fof(t93_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v3_absred_0(B, A) <=> r9_rewrite1(u1_absred_0(A), B)) ) ) ) ) ).
fof(d14_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (v4_absred_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v3_absred_0(B, A)) ) ) ) ) ).
fof(d15_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (v5_absred_0(A) <=>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ~ ( (! [C] :  (v7_ordinal1(C) => r1_absred_0(A, k8_nat_1(u1_struct_0(A), B, C), k8_nat_1(u1_struct_0(A), B, k1_nat_1(C, 1)))) ) ) ) ) ) ) ) ).
fof(d16_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (v6_absred_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r9_absred_0(A, C, B) & r9_absred_0(A, D, B))  => C=D) ) ) ) ) ) ) ) ) ) ).
fof(d17_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (v7_absred_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v2_absred_0(B, A) &  (v2_absred_0(C, A) & r7_absred_0(A, B, C)) )  => B=C) ) ) ) ) ) ) ) ).
fof(d18_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (v8_absred_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v2_absred_0(B, A) & r7_absred_0(A, B, C))  => r3_absred_0(A, C, B)) ) ) ) ) ) ) ) ).
fof(t94_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (v4_absred_0(A) <=> v2_rewrite1(u1_absred_0(A))) ) ) ).
fof(t95_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (v5_absred_0(A) => v3_rewrite1(u1_absred_0(A))) ) ) ).
fof(t96_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (v3_rewrite1(u1_absred_0(A)) =>  (v2_struct_0(A) | v5_absred_0(A)) ) ) ) ).
fof(t97_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (v5_absred_0(A) <=>  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r2_tarski(C, B) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(D, B) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_tarski(E, B) & r1_absred_0(A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t98_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (v7_absred_0(A) <=> v4_rewrite1(u1_absred_0(A))) ) ) ).
fof(t99_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (v8_absred_0(A) <=> v5_rewrite1(u1_absred_0(A))) ) ) ).
fof(d19_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r9_absred_0(A, C, B) & r9_absred_0(A, D, B))  => C=D) ) ) ) )  =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ (r9_absred_0(A, C, B)) ) )  |  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (C=k3_absred_0(A, B) <=> r9_absred_0(A, C, B)) ) ) ) ) ) ) ) ) ).
fof(t100_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r9_absred_0(A, C, B) & r9_absred_0(A, D, B))  => C=D) ) ) ) )  =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ (r9_absred_0(A, C, B)) ) )  | k3_absred_0(A, B)=k2_rewrite1(u1_absred_0(A), B)) ) ) ) ) ) ).
fof(t101_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v2_absred_0(B, A) & r3_absred_0(A, B, C))  => B=C) ) ) ) ) ) ) ).
fof(t102_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v2_absred_0(B, A) => r9_absred_0(A, B, B)) ) ) ) ) ).
fof(t103_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v2_absred_0(B, A) & r1_absred_0(A, C, B))  => r9_absred_0(A, B, C)) ) ) ) ) ) ) ).
fof(t104_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v2_absred_0(B, A) & r2_absred_0(A, C, B))  => r9_absred_0(A, B, C)) ) ) ) ) ) ) ).
fof(t105_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v2_absred_0(B, A) & r4_absred_0(A, C, B))  => r9_absred_0(A, B, C)) ) ) ) ) ) ) ).
fof(t106_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (r9_absred_0(A, B, C) & r9_absred_0(A, C, B))  => B=C) ) ) ) ) ) ) ).
fof(t107_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r9_absred_0(A, B, C) & r1_absred_0(A, D, C))  => r9_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t108_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r9_absred_0(A, B, C) & r3_absred_0(A, D, C))  => r9_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t109_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r9_absred_0(A, B, C) & r3_absred_0(A, D, B))  => r9_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t110_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v3_absred_0(B, A) & r1_absred_0(A, C, B))  => v3_absred_0(C, A)) ) ) ) ) ) ) ).
fof(t111_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (v4_absred_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & r9_absred_0(A, C, B)) ) ) ) ) ) ) ).
fof(t112_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v2_absred_0(B, A)) )  => v4_absred_0(A)) ) ) ).
fof(t113_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_absred_0(A, D, E) <=> D=B) ) ) ) )  =>  (B=C |  (v2_absred_0(C, A) & v3_absred_0(B, A)) ) ) ) ) ) ) ) ) ).
fof(t114_absred_0, axiom,  (? [A] :  (l1_absred_0(A) &  (v4_absred_0(A) &  ~ (v5_absred_0(A)) ) ) ) ).
fof(t115_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v4_absred_0(A) &  (v6_absred_0(A) &  (v2_absred_0(B, A) & r7_absred_0(A, B, C)) ) )  => r3_absred_0(A, C, B)) ) ) ) ) ) ) ).
fof(t116_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r9_absred_0(A, C, B) & r9_absred_0(A, D, B))  =>  (C=D | r4_absred_0(A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t117_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (v4_absred_0(A) & v6_absred_0(A))  => r9_absred_0(A, k3_absred_0(A, B), B)) ) ) ) ) ).
fof(t118_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v4_absred_0(A) &  (v6_absred_0(A) & r9_absred_0(A, C, B)) )  => C=k3_absred_0(A, B)) ) ) ) ) ) ) ).
fof(t119_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (v4_absred_0(A) & v6_absred_0(A))  => v2_absred_0(k3_absred_0(A, B), A)) ) ) ) ) ).
fof(t120_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (v4_absred_0(A) & v6_absred_0(A))  => k3_absred_0(A, k3_absred_0(A, B))=k3_absred_0(A, B)) ) ) ) ) ).
fof(t121_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v4_absred_0(A) &  (v6_absred_0(A) & r3_absred_0(A, B, C)) )  => k3_absred_0(A, B)=k3_absred_0(A, C)) ) ) ) ) ) ) ).
fof(t122_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v4_absred_0(A) &  (v6_absred_0(A) & r7_absred_0(A, B, C)) )  => k3_absred_0(A, B)=k3_absred_0(A, C)) ) ) ) ) ) ) ).
fof(t123_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v4_absred_0(A) &  (v6_absred_0(A) & k3_absred_0(A, B)=k3_absred_0(A, C)) )  => r7_absred_0(A, B, C)) ) ) ) ) ) ) ).
fof(d20_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r10_absred_0(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (r3_absred_0(A, D, B) & r3_absred_0(A, D, C)) ) ) ) ) ) ) ) ) ) ).
fof(d21_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r11_absred_0(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (r3_absred_0(A, B, D) & r3_absred_0(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(d22_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r12_absred_0(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (r2_absred_0(A, D, B) & r2_absred_0(A, D, C)) ) ) ) ) ) ) ) ) ) ).
fof(d23_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r13_absred_0(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (r2_absred_0(A, B, D) & r2_absred_0(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t124_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r10_absred_0(A, B, C) <=> r6_rewrite1(u1_absred_0(A), B, C)) ) ) ) ) ) ) ).
fof(t125_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r11_absred_0(A, B, C) <=> r5_rewrite1(u1_absred_0(A), B, C)) ) ) ) ) ) ) ).
fof(t126_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r12_absred_0(A, B, C) <=> r8_rewrite1(u1_absred_0(A), B, C)) ) ) ) ) ) ) ).
fof(t127_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r13_absred_0(A, B, C) <=> r7_rewrite1(u1_absred_0(A), B, C)) ) ) ) ) ) ) ).
fof(d24_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (v9_absred_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r12_absred_0(A, B, C) => r13_absred_0(A, B, C)) ) ) ) ) ) ) ) ).
fof(d25_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (v10_absred_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r10_absred_0(A, B, C) => r11_absred_0(A, B, C)) ) ) ) ) ) ) ) ).
fof(d26_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (v11_absred_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r7_absred_0(A, B, C) => r11_absred_0(A, B, C)) ) ) ) ) ) ) ) ).
fof(d27_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (v12_absred_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r12_absred_0(A, B, C) => r11_absred_0(A, B, C)) ) ) ) ) ) ) ) ).
fof(d28_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (v13_absred_0(A) <=>  (v5_absred_0(A) & v10_absred_0(A)) ) ) ) ).
fof(t128_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r12_absred_0(A, B, C) => r10_absred_0(A, B, C)) ) ) ) ) ) ) ).
fof(t129_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r13_absred_0(A, B, C) => r11_absred_0(A, B, C)) ) ) ) ) ) ) ).
fof(t130_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_absred_0(A, B, C) => r12_absred_0(A, B, C)) ) ) ) ) ) ) ).
fof(t131_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_absred_0(A, B, C) => r13_absred_0(A, B, C)) ) ) ) ) ) ) ).
fof(t132_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_absred_0(A, B, C) => r12_absred_0(A, B, C)) ) ) ) ) ) ) ).
fof(t133_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_absred_0(A, B, C) => r13_absred_0(A, B, C)) ) ) ) ) ) ) ).
fof(t134_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r5_absred_0(A, B, C) => r12_absred_0(A, B, C)) ) ) ) ) ) ) ).
fof(t135_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r5_absred_0(A, B, C) => r13_absred_0(A, B, C)) ) ) ) ) ) ) ).
fof(t136_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r6_absred_0(A, B, C) => r12_absred_0(A, B, C)) ) ) ) ) ) ) ).
fof(t137_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r6_absred_0(A, B, C) => r13_absred_0(A, B, C)) ) ) ) ) ) ) ).
fof(t138_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_absred_0(A, B, C) => r11_absred_0(A, B, C)) ) ) ) ) ) ) ).
fof(t139_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_absred_0(A, B, C) => r11_absred_0(A, B, C)) ) ) ) ) ) ) ).
fof(t140_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_absred_0(A, B, C) => r10_absred_0(A, B, C)) ) ) ) ) ) ) ).
fof(t141_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r4_absred_0(A, B, C) => r11_absred_0(A, B, C)) ) ) ) ) ) ) ).
fof(t142_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r4_absred_0(A, B, C) => r10_absred_0(A, B, C)) ) ) ) ) ) ) ).
fof(t143_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_absred_0(A, B, C) & r1_absred_0(A, B, D))  => r12_absred_0(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t144_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_absred_0(A, B, C) & r1_absred_0(A, D, C))  => r13_absred_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t145_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r11_absred_0(A, B, D) & r1_absred_0(A, C, D))  => r11_absred_0(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t146_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r11_absred_0(A, B, D) & r2_absred_0(A, C, D))  => r11_absred_0(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t147_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r11_absred_0(A, B, D) & r3_absred_0(A, C, D))  => r11_absred_0(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t148_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r10_absred_0(A, B, C) => r7_absred_0(A, B, C)) ) ) ) ) ) ) ).
fof(t149_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r11_absred_0(A, B, C) => r7_absred_0(A, B, C)) ) ) ) ) ) ) ).
fof(t150_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (v9_absred_0(A) <=> v6_rewrite1(u1_absred_0(A))) ) ) ).
fof(t151_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (v10_absred_0(A) <=> v7_rewrite1(u1_absred_0(A))) ) ) ).
fof(t152_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (v11_absred_0(A) <=> v8_rewrite1(u1_absred_0(A))) ) ) ).
fof(t153_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (v12_absred_0(A) <=> v9_rewrite1(u1_absred_0(A))) ) ) ).
fof(t154_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_absred_0(A))  =>  (v13_absred_0(A) <=> v10_rewrite1(u1_absred_0(A))) ) ) ).
fof(t155_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (v9_absred_0(A) &  (r3_absred_0(A, D, B) &  (r2_absred_0(A, D, C) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_absred_0(A, B, E) & r3_absred_0(A, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t156_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (v9_absred_0(A) &  (r2_absred_0(A, C, B) &  (r3_absred_0(A, C, D) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r3_absred_0(A, B, E) & r2_absred_0(A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t157_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  ~ ( ( ~ (v10_absred_0(A))  &  (v4_absred_0(A) &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r9_absred_0(A, C, B) &  (r9_absred_0(A, D, B) &  ~ (C=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t158_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (v13_absred_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r7_absred_0(A, B, C) => k3_absred_0(A, B)=k3_absred_0(A, C)) ) ) ) ) ) ) ) ).
fof(d29_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_unialg_1(A))  =>  (v15_absred_0(A) <=>  (r1_tarski(k2_finseq_1(3), k4_finseq_1(u1_unialg_1(A))) &  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v2_margrel1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A))))) ) )  =>  ( (B=k1_funct_1(u1_unialg_1(A), 1) => k18_margrel1(B)=k5_ordinal1)  &  ( (B=k1_funct_1(u1_unialg_1(A), 2) => k18_margrel1(B)=1)  &  (B=k1_funct_1(u1_unialg_1(A), 3) => k18_margrel1(B)=2) ) ) ) ) ) ) ) ) ).
fof(t159_absred_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v2_margrel1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), A)))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) &  (v2_margrel1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_funct_1(D) &  (v2_margrel1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), A)))) ) )  =>  ( (k18_margrel1(B)=k5_ordinal1 &  (k18_margrel1(C)=1 & k18_margrel1(D)=2) )  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  & l1_unialg_1(E))  =>  ( (u1_struct_0(E)=A & r1_relset_1(k4_ordinal1, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), A)), k3_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), A)), B, C, D), u1_unialg_1(E)))  => v15_absred_0(E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t160_absred_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v2_margrel1(B) &  (v3_margrel1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), A)))) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) &  (v2_margrel1(C) &  (v3_margrel1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), A)))) ) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_funct_1(D) &  (v2_margrel1(D) &  (v3_margrel1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), A)))) ) ) )  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  & l1_unialg_1(E))  =>  ( (u1_struct_0(E)=A & k3_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), A)), B, C, D)=u1_unialg_1(E))  =>  (v3_unialg_1(E) & v2_unialg_1(E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t161_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_unialg_1(A) & l1_unialg_1(A)) )  =>  (v15_absred_0(A) =>  (m2_subset_1(1, k4_ordinal1, k4_finseq_1(u1_unialg_1(A))) &  (m2_subset_1(2, k4_ordinal1, k4_finseq_1(u1_unialg_1(A))) & m2_subset_1(3, k4_ordinal1, k4_finseq_1(u1_unialg_1(A)))) ) ) ) ) ).
fof(t162_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) )  =>  (v15_absred_0(A) =>  (k18_margrel1(k2_pua2mss1(A, k10_subset_1(1, k4_finseq_1(u1_unialg_1(A)))))=k5_ordinal1 &  (k18_margrel1(k2_pua2mss1(A, k10_subset_1(2, k4_finseq_1(u1_unialg_1(A)))))=1 & k18_margrel1(k2_pua2mss1(A, k10_subset_1(3, k4_finseq_1(u1_unialg_1(A)))))=2) ) ) ) ) ).
fof(d30_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_unialg_1(A) & l2_absred_0(A)) )  =>  (v16_absred_0(A) <=>  (! [B] :  (m2_subset_1(B, k4_ordinal1, k4_finseq_1(u1_unialg_1(A))) =>  (! [C] :  (m2_subset_1(C, k3_finseq_2(u1_struct_0(A)), k1_relset_1(k3_finseq_2(u1_struct_0(A)), k2_pua2mss1(A, B))) =>  (! [D] :  (m2_subset_1(D, k3_finseq_2(u1_struct_0(A)), k1_relset_1(k3_finseq_2(u1_struct_0(A)), k2_pua2mss1(A, B))) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(C)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (F=k1_funct_1(C, E) &  (D=k1_funct_7(C, E, G) & r1_absred_0(A, F, G)) )  => r1_absred_0(A, k4_absred_0(A, k2_pua2mss1(A, B), C), k4_absred_0(A, k2_pua2mss1(A, B), D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d31_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_unialg_1(A) & l2_absred_0(A)) )  =>  (v17_absred_0(A) <=>  (! [B] :  (m2_subset_1(B, k4_ordinal1, k4_finseq_1(u1_unialg_1(A))) =>  (! [C] :  (m2_subset_1(C, k3_finseq_2(u1_struct_0(A)), k1_relset_1(k3_finseq_2(u1_struct_0(A)), k2_pua2mss1(A, B))) =>  (! [D] :  (m2_subset_1(D, k3_finseq_2(u1_struct_0(A)), k1_relset_1(k3_finseq_2(u1_struct_0(A)), k2_pua2mss1(A, B))) =>  ( (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(C)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (F=k1_funct_1(C, E) & G=k1_funct_1(D, E))  => r1_absred_0(A, F, G)) ) ) ) ) ) ) )  => r3_absred_0(A, k4_absred_0(A, k2_pua2mss1(A, B), C), k4_absred_0(A, k2_pua2mss1(A, B), D))) ) ) ) ) ) ) ) ) ) ).
fof(t163_absred_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (? [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_funct_1(D) &  (v2_margrel1(D) &  (v3_margrel1(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(B), B)))) ) ) )  &  (k18_margrel1(D)=A & D=k8_funcop_1(B, k4_finseq_2(A, B), C)) ) ) ) ) ) ) ) ) ).
fof(d32_absred_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v4_unialg_1(C) &  (v14_absred_0(C) & l2_absred_0(C)) ) )  =>  (C=k5_absred_0(A, B) <=>  (u1_struct_0(C)=A &  (u1_unialg_1(C)=k11_finseq_1(k8_funcop_1(A, k4_finseq_2(k5_ordinal1, A), B), k8_funcop_1(A, k4_finseq_2(1, A), B), k8_funcop_1(A, k4_finseq_2(2, A), B)) & u1_absred_0(C)=k1_eqrel_1(A)) ) ) ) ) ) ) ) ) ).
fof(d33_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) & l2_absred_0(A)) ) ) ) )  => k6_absred_0(A)=k1_funct_1(k2_pua2mss1(A, k10_subset_1(1, k4_finseq_1(u1_unialg_1(A)))), k1_xboole_0)) ) ).
fof(d34_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) & l2_absred_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k7_absred_0(A, B)=k1_funct_1(k2_pua2mss1(A, k10_subset_1(2, k4_finseq_1(u1_unialg_1(A)))), k12_finseq_1(u1_struct_0(A), B))) ) ) ) ).
fof(d35_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) & l2_absred_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k8_absred_0(A, B, C)=k1_funct_1(k2_pua2mss1(A, k10_subset_1(3, k4_finseq_1(u1_unialg_1(A)))), k2_finseq_4(u1_struct_0(A), B, C))) ) ) ) ) ) ).
fof(t164_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) &  (v16_absred_0(A) & l2_absred_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_absred_0(A, B, C) => r1_absred_0(A, k7_absred_0(A, B), k7_absred_0(A, C))) ) ) ) ) ) ) ).
fof(t165_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) &  (v16_absred_0(A) & l2_absred_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_absred_0(A, B, C) => r1_absred_0(A, k8_absred_0(A, B, D), k8_absred_0(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t166_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) &  (v16_absred_0(A) & l2_absred_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_absred_0(A, B, C) => r1_absred_0(A, k8_absred_0(A, D, B), k8_absred_0(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(d36_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) & l2_absred_0(A)) ) ) ) )  =>  (v18_absred_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_absred_0(A, k8_absred_0(A, k6_absred_0(A), B), B)) ) ) ) ) ).
fof(d37_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) & l2_absred_0(A)) ) ) ) )  =>  (v19_absred_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_absred_0(A, k8_absred_0(A, k7_absred_0(A, B), B), k6_absred_0(A))) ) ) ) ) ).
fof(d38_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) & l2_absred_0(A)) ) ) ) )  =>  (v20_absred_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_absred_0(A, k8_absred_0(A, k8_absred_0(A, B, C), D), k8_absred_0(A, B, k8_absred_0(A, C, D)))) ) ) ) ) ) ) ) ) ).
fof(d39_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) & l2_absred_0(A)) ) ) ) )  =>  (v21_absred_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_absred_0(A, k8_absred_0(A, k7_absred_0(A, B), k8_absred_0(A, B, C)), C)) ) ) ) ) ) ) ).
fof(d40_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) & l2_absred_0(A)) ) ) ) )  =>  (v22_absred_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_absred_0(A, k8_absred_0(A, k7_absred_0(A, k6_absred_0(A)), B), B)) ) ) ) ) ).
fof(d41_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) & l2_absred_0(A)) ) ) ) )  =>  (v23_absred_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_absred_0(A, k8_absred_0(A, k7_absred_0(A, k7_absred_0(A, B)), k6_absred_0(A)), B)) ) ) ) ) ).
fof(d42_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) & l2_absred_0(A)) ) ) ) )  =>  (v24_absred_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_absred_0(A, k8_absred_0(A, k7_absred_0(A, k7_absred_0(A, B)), C), k8_absred_0(A, B, C))) ) ) ) ) ) ) ).
fof(d43_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) & l2_absred_0(A)) ) ) ) )  =>  (v25_absred_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_absred_0(A, k8_absred_0(A, B, k6_absred_0(A)), B)) ) ) ) ) ).
fof(d44_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) & l2_absred_0(A)) ) ) ) )  =>  (v26_absred_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_absred_0(A, k7_absred_0(A, k7_absred_0(A, B)), B)) ) ) ) ) ).
fof(d45_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) & l2_absred_0(A)) ) ) ) )  =>  (v27_absred_0(A) <=> r1_absred_0(A, k7_absred_0(A, k6_absred_0(A)), k6_absred_0(A))) ) ) ).
fof(d46_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) & l2_absred_0(A)) ) ) ) )  =>  (v28_absred_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_absred_0(A, k8_absred_0(A, B, k7_absred_0(A, B)), k6_absred_0(A))) ) ) ) ) ).
fof(d47_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) & l2_absred_0(A)) ) ) ) )  =>  (v29_absred_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_absred_0(A, k8_absred_0(A, B, k8_absred_0(A, k7_absred_0(A, B), C)), C)) ) ) ) ) ) ) ).
fof(d48_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) & l2_absred_0(A)) ) ) ) )  =>  (v30_absred_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_absred_0(A, k8_absred_0(A, B, k8_absred_0(A, C, k7_absred_0(A, k8_absred_0(A, B, C)))), k6_absred_0(A))) ) ) ) ) ) ) ).
fof(d49_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) & l2_absred_0(A)) ) ) ) )  =>  (v31_absred_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_absred_0(A, k8_absred_0(A, B, k7_absred_0(A, k8_absred_0(A, C, B))), k7_absred_0(A, C))) ) ) ) ) ) ) ).
fof(d50_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) & l2_absred_0(A)) ) ) ) )  =>  (v32_absred_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_absred_0(A, k7_absred_0(A, k8_absred_0(A, B, C)), k8_absred_0(A, k7_absred_0(A, C), k7_absred_0(A, B)))) ) ) ) ) ) ) ).
fof(t167_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) &  (v16_absred_0(A) & l2_absred_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v18_absred_0(A) &  (v19_absred_0(A) & v20_absred_0(A)) )  => r10_absred_0(A, k8_absred_0(A, k7_absred_0(A, B), k8_absred_0(A, B, C)), C)) ) ) ) ) ) ) ).
fof(t168_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) &  (v16_absred_0(A) & l2_absred_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (v18_absred_0(A) & v21_absred_0(A))  => r10_absred_0(A, k8_absred_0(A, k7_absred_0(A, k6_absred_0(A)), B), B)) ) ) ) ) ).
fof(t169_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) &  (v16_absred_0(A) & l2_absred_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (v19_absred_0(A) & v21_absred_0(A))  => r10_absred_0(A, k8_absred_0(A, k7_absred_0(A, k7_absred_0(A, B)), k6_absred_0(A)), B)) ) ) ) ) ).
fof(t170_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) &  (v16_absred_0(A) & l2_absred_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v18_absred_0(A) &  (v20_absred_0(A) & v23_absred_0(A)) )  => r10_absred_0(A, k8_absred_0(A, k7_absred_0(A, k7_absred_0(A, B)), C), k8_absred_0(A, B, C))) ) ) ) ) ) ) ).
fof(t171_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) &  (v16_absred_0(A) & l2_absred_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (v23_absred_0(A) & v24_absred_0(A))  => r10_absred_0(A, k8_absred_0(A, B, k6_absred_0(A)), B)) ) ) ) ) ).
fof(t172_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) &  (v16_absred_0(A) & l2_absred_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (v23_absred_0(A) & v25_absred_0(A))  => r10_absred_0(A, k7_absred_0(A, k7_absred_0(A, B)), B)) ) ) ) ) ).
fof(t173_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) &  (v16_absred_0(A) & l2_absred_0(A)) ) ) ) ) )  =>  ( (v22_absred_0(A) & v25_absred_0(A))  => r10_absred_0(A, k7_absred_0(A, k6_absred_0(A)), k6_absred_0(A))) ) ) ).
fof(t174_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) &  (v16_absred_0(A) & l2_absred_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (v19_absred_0(A) & v26_absred_0(A))  => r10_absred_0(A, k8_absred_0(A, B, k7_absred_0(A, B)), k6_absred_0(A))) ) ) ) ) ).
fof(t175_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) &  (v16_absred_0(A) & l2_absred_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v18_absred_0(A) &  (v20_absred_0(A) & v28_absred_0(A)) )  => r10_absred_0(A, k8_absred_0(A, B, k8_absred_0(A, k7_absred_0(A, B), C)), C)) ) ) ) ) ) ) ).
fof(t176_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) &  (v16_absred_0(A) & l2_absred_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v20_absred_0(A) & v28_absred_0(A))  => r10_absred_0(A, k8_absred_0(A, B, k8_absred_0(A, C, k7_absred_0(A, k8_absred_0(A, B, C)))), k6_absred_0(A))) ) ) ) ) ) ) ).
fof(t177_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) &  (v16_absred_0(A) & l2_absred_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v21_absred_0(A) &  (v25_absred_0(A) & v30_absred_0(A)) )  => r10_absred_0(A, k8_absred_0(A, B, k7_absred_0(A, k8_absred_0(A, C, B))), k7_absred_0(A, C))) ) ) ) ) ) ) ).
fof(t178_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) &  (v16_absred_0(A) & l2_absred_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v21_absred_0(A) & v31_absred_0(A))  => r10_absred_0(A, k7_absred_0(A, k8_absred_0(A, B, C)), k8_absred_0(A, k7_absred_0(A, C), k7_absred_0(A, B)))) ) ) ) ) ) ) ).
fof(t179_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) &  (v16_absred_0(A) & l2_absred_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (v18_absred_0(A) & v27_absred_0(A))  => r3_absred_0(A, k8_absred_0(A, k7_absred_0(A, k6_absred_0(A)), B), B)) ) ) ) ) ).
fof(t180_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) &  (v16_absred_0(A) & l2_absred_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (v25_absred_0(A) & v26_absred_0(A))  => r3_absred_0(A, k8_absred_0(A, k7_absred_0(A, k7_absred_0(A, B)), k6_absred_0(A)), B)) ) ) ) ) ).
fof(t181_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) &  (v16_absred_0(A) & l2_absred_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v26_absred_0(A) => r3_absred_0(A, k8_absred_0(A, k7_absred_0(A, k7_absred_0(A, B)), C), k8_absred_0(A, B, C))) ) ) ) ) ) ) ).
fof(t182_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) &  (v16_absred_0(A) & l2_absred_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v28_absred_0(A) & v31_absred_0(A))  => r3_absred_0(A, k8_absred_0(A, B, k8_absred_0(A, C, k7_absred_0(A, k8_absred_0(A, B, C)))), k6_absred_0(A))) ) ) ) ) ) ) ).
fof(t183_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) &  (v16_absred_0(A) & l2_absred_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v29_absred_0(A) & v32_absred_0(A))  => r3_absred_0(A, k8_absred_0(A, B, k7_absred_0(A, k8_absred_0(A, C, B))), k7_absred_0(A, C))) ) ) ) ) ) ) ).
fof(s1_absred_0, axiom,  ( (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s1_absred_0)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(f1_s1_absred_0)) =>  ( (r1_absred_0(f1_s1_absred_0, A, B) & p1_s1_absred_0(A))  => p1_s1_absred_0(B)) ) ) ) )  =>  (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s1_absred_0)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(f1_s1_absred_0)) =>  ( (r3_absred_0(f1_s1_absred_0, A, B) & p1_s1_absred_0(A))  => p1_s1_absred_0(B)) ) ) ) ) ) ).
fof(s2_absred_0, axiom,  ( (r3_absred_0(f1_s2_absred_0, f2_s2_absred_0, f3_s2_absred_0) &  (p1_s2_absred_0(f2_s2_absred_0) &  (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s2_absred_0)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(f1_s2_absred_0)) =>  ( (r1_absred_0(f1_s2_absred_0, A, B) & p1_s2_absred_0(A))  => p1_s2_absred_0(B)) ) ) ) ) ) )  => p1_s2_absred_0(f3_s2_absred_0)) ).
fof(s3_absred_0, axiom,  ( (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s3_absred_0)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(f1_s3_absred_0)) =>  ( (r1_absred_0(f1_s3_absred_0, A, B) & p1_s3_absred_0(B))  => p1_s3_absred_0(A)) ) ) ) )  =>  (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s3_absred_0)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(f1_s3_absred_0)) =>  ( (r3_absred_0(f1_s3_absred_0, A, B) & p1_s3_absred_0(B))  => p1_s3_absred_0(A)) ) ) ) ) ) ).
fof(s4_absred_0, axiom,  ( (r3_absred_0(f1_s4_absred_0, f2_s4_absred_0, f3_s4_absred_0) &  (p1_s4_absred_0(f3_s4_absred_0) &  (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s4_absred_0)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(f1_s4_absred_0)) =>  ( (r1_absred_0(f1_s4_absred_0, A, B) & p1_s4_absred_0(B))  => p1_s4_absred_0(A)) ) ) ) ) ) )  => p1_s4_absred_0(f2_s4_absred_0)) ).
fof(s5_absred_0, axiom,  ( (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s5_absred_0)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(f1_s5_absred_0)) =>  ( (r5_absred_0(f1_s5_absred_0, A, B) & p1_s5_absred_0(A))  => p1_s5_absred_0(B)) ) ) ) )  =>  (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s5_absred_0)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(f1_s5_absred_0)) =>  ( (r7_absred_0(f1_s5_absred_0, A, B) & p1_s5_absred_0(A))  => p1_s5_absred_0(B)) ) ) ) ) ) ).
fof(s6_absred_0, axiom,  ( (r7_absred_0(f1_s6_absred_0, f2_s6_absred_0, f3_s6_absred_0) &  (p1_s6_absred_0(f2_s6_absred_0) &  (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s6_absred_0)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(f1_s6_absred_0)) =>  ( (r5_absred_0(f1_s6_absred_0, A, B) & p1_s6_absred_0(A))  => p1_s6_absred_0(B)) ) ) ) ) ) )  => p1_s6_absred_0(f3_s6_absred_0)) ).
fof(s7_absred_0, axiom,  (? [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_absred_0(A) & l1_absred_0(A)) )  &  (u1_struct_0(A)=f1_s7_absred_0 &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_absred_0(A, B, C) <=> p1_s7_absred_0(B, C)) ) ) ) ) ) ) ) ).
fof(s8_absred_0, axiom,  ( ( (? [A] :  (m1_subset_1(A, u1_struct_0(f1_s8_absred_0)) & p1_s8_absred_0(A)) )  &  (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s8_absred_0)) =>  ~ ( (p1_s8_absred_0(A) &  (! [B] :  (m1_subset_1(B, u1_struct_0(f1_s8_absred_0)) =>  ~ ( (p1_s8_absred_0(B) & r1_absred_0(f1_s8_absred_0, A, B)) ) ) ) ) ) ) ) )  =>  ~ (v5_absred_0(f1_s8_absred_0)) ) ).
fof(s9_absred_0, axiom,  ( ( (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s9_absred_0)) => r3_absred_0(f1_s9_absred_0, A, f2_s9_absred_0(A))) )  &  (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s9_absred_0)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(f1_s9_absred_0)) =>  (r7_absred_0(f1_s9_absred_0, A, B) => f2_s9_absred_0(A)=f2_s9_absred_0(B)) ) ) ) ) )  => v11_absred_0(f1_s9_absred_0)) ).
fof(s10_absred_0, axiom,  ( (v5_absred_0(f1_s10_absred_0) &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s10_absred_0)) => r3_absred_0(f1_s10_absred_0, A, f2_s10_absred_0(A))) )  &  (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s10_absred_0)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(f1_s10_absred_0)) =>  (r7_absred_0(f1_s10_absred_0, A, B) => f2_s10_absred_0(A)=f2_s10_absred_0(B)) ) ) ) ) ) )  => v13_absred_0(f1_s10_absred_0)) ).
fof(abstractness_v1_absred_0, axiom,  (! [A] :  (l1_absred_0(A) =>  (v1_absred_0(A) => A=g1_absred_0(u1_struct_0(A), u1_absred_0(A))) ) ) ).
fof(dt_l1_absred_0, axiom,  (! [A] :  (l1_absred_0(A) => l1_struct_0(A)) ) ).
fof(existence_l1_absred_0, axiom,  (? [A] : l1_absred_0(A)) ).
fof(dt_g1_absred_0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (v1_absred_0(g1_absred_0(A, B)) & l1_absred_0(g1_absred_0(A, B))) ) ) ).
fof(free_g1_absred_0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C, D] :  (g1_absred_0(A, B)=g1_absred_0(C, D) =>  (A=C & B=D) ) ) ) ) ).
fof(dt_u1_absred_0, axiom,  (! [A] :  (l1_absred_0(A) => m1_subset_1(u1_absred_0(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ).
fof(reflexivity_r2_absred_0, axiom,  (! [A, B, C] :  ( (l1_absred_0(A) &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => r2_absred_0(A, B, B)) ) ).
fof(reflexivity_r3_absred_0, axiom,  (! [A, B, C] :  ( (l1_absred_0(A) &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => r3_absred_0(A, B, B)) ) ).
fof(dt_f1_s1_absred_0, axiom, l1_absred_0(f1_s1_absred_0)).
fof(dt_f1_s2_absred_0, axiom, l1_absred_0(f1_s2_absred_0)).
fof(dt_f2_s2_absred_0, axiom, m1_subset_1(f2_s2_absred_0, u1_struct_0(f1_s2_absred_0))).
fof(dt_f3_s2_absred_0, axiom, m1_subset_1(f3_s2_absred_0, u1_struct_0(f1_s2_absred_0))).
fof(dt_f1_s3_absred_0, axiom, l1_absred_0(f1_s3_absred_0)).
fof(dt_f1_s4_absred_0, axiom, l1_absred_0(f1_s4_absred_0)).
fof(dt_f2_s4_absred_0, axiom, m1_subset_1(f2_s4_absred_0, u1_struct_0(f1_s4_absred_0))).
fof(dt_f3_s4_absred_0, axiom, m1_subset_1(f3_s4_absred_0, u1_struct_0(f1_s4_absred_0))).
fof(symmetry_r5_absred_0, axiom,  (! [A, B, C] :  ( (l1_absred_0(A) &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r5_absred_0(A, B, C) => r5_absred_0(A, C, B)) ) ) ).
fof(symmetry_r6_absred_0, axiom,  (! [A, B, C] :  ( (l1_absred_0(A) &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r6_absred_0(A, B, C) => r6_absred_0(A, C, B)) ) ) ).
fof(reflexivity_r6_absred_0, axiom,  (! [A, B, C] :  ( (l1_absred_0(A) &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => r6_absred_0(A, B, B)) ) ).
fof(symmetry_r7_absred_0, axiom,  (! [A, B, C] :  ( (l1_absred_0(A) &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r7_absred_0(A, B, C) => r7_absred_0(A, C, B)) ) ) ).
fof(reflexivity_r7_absred_0, axiom,  (! [A, B, C] :  ( (l1_absred_0(A) &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => r7_absred_0(A, B, B)) ) ).
fof(dt_f1_s5_absred_0, axiom, l1_absred_0(f1_s5_absred_0)).
fof(dt_f1_s6_absred_0, axiom, l1_absred_0(f1_s6_absred_0)).
fof(dt_f2_s6_absred_0, axiom, m1_subset_1(f2_s6_absred_0, u1_struct_0(f1_s6_absred_0))).
fof(dt_f3_s6_absred_0, axiom, m1_subset_1(f3_s6_absred_0, u1_struct_0(f1_s6_absred_0))).
fof(symmetry_r8_absred_0, axiom,  (! [A, B, C] :  ( (l1_absred_0(A) &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r8_absred_0(A, B, C) => r8_absred_0(A, C, B)) ) ) ).
fof(dt_f1_s7_absred_0, axiom,  ~ (v1_xboole_0(f1_s7_absred_0)) ).
fof(dt_k1_absred_0, axiom,  (v1_absred_0(k1_absred_0) & l1_absred_0(k1_absred_0)) ).
fof(dt_k2_absred_0, axiom,  (v1_absred_0(k2_absred_0) & l1_absred_0(k2_absred_0)) ).
fof(dt_f1_s8_absred_0, axiom, l1_absred_0(f1_s8_absred_0)).
fof(dt_k3_absred_0, axiom,  (! [A, B] :  ( (l1_absred_0(A) & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k3_absred_0(A, B), u1_struct_0(A))) ) ).
fof(symmetry_r10_absred_0, axiom,  (! [A, B, C] :  ( (l1_absred_0(A) &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r10_absred_0(A, B, C) => r10_absred_0(A, C, B)) ) ) ).
fof(reflexivity_r10_absred_0, axiom,  (! [A, B, C] :  ( (l1_absred_0(A) &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => r10_absred_0(A, B, B)) ) ).
fof(symmetry_r11_absred_0, axiom,  (! [A, B, C] :  ( (l1_absred_0(A) &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r11_absred_0(A, B, C) => r11_absred_0(A, C, B)) ) ) ).
fof(reflexivity_r11_absred_0, axiom,  (! [A, B, C] :  ( (l1_absred_0(A) &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => r11_absred_0(A, B, B)) ) ).
fof(symmetry_r12_absred_0, axiom,  (! [A, B, C] :  ( (l1_absred_0(A) &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r12_absred_0(A, B, C) => r12_absred_0(A, C, B)) ) ) ).
fof(reflexivity_r12_absred_0, axiom,  (! [A, B, C] :  ( (l1_absred_0(A) &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => r12_absred_0(A, B, B)) ) ).
fof(symmetry_r13_absred_0, axiom,  (! [A, B, C] :  ( (l1_absred_0(A) &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r13_absred_0(A, B, C) => r13_absred_0(A, C, B)) ) ) ).
fof(reflexivity_r13_absred_0, axiom,  (! [A, B, C] :  ( (l1_absred_0(A) &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => r13_absred_0(A, B, B)) ) ).
fof(dt_f1_s9_absred_0, axiom,  ( ~ (v2_struct_0(f1_s9_absred_0))  & l1_absred_0(f1_s9_absred_0)) ).
fof(dt_f2_s9_absred_0, axiom,  (! [A] : m1_subset_1(f2_s9_absred_0(A), u1_struct_0(f1_s9_absred_0))) ).
fof(dt_f1_s10_absred_0, axiom,  ( ~ (v2_struct_0(f1_s10_absred_0))  & l1_absred_0(f1_s10_absred_0)) ).
fof(dt_f2_s10_absred_0, axiom,  (! [A] : m1_subset_1(f2_s10_absred_0(A), u1_struct_0(f1_s10_absred_0))) ).
fof(abstractness_v14_absred_0, axiom,  (! [A] :  (l2_absred_0(A) =>  (v14_absred_0(A) => A=g2_absred_0(u1_struct_0(A), u1_unialg_1(A), u1_absred_0(A))) ) ) ).
fof(dt_l2_absred_0, axiom,  (! [A] :  (l2_absred_0(A) =>  (l1_absred_0(A) & l1_unialg_1(A)) ) ) ).
fof(existence_l2_absred_0, axiom,  (? [A] : l2_absred_0(A)) ).
fof(dt_g2_absred_0, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, k4_partfun1(k3_finseq_2(A), A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (v14_absred_0(g2_absred_0(A, B, C)) & l2_absred_0(g2_absred_0(A, B, C))) ) ) ).
fof(free_g2_absred_0, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, k4_partfun1(k3_finseq_2(A), A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [D, E, F] :  (g2_absred_0(A, B, C)=g2_absred_0(D, E, F) =>  (A=D &  (B=E & C=F) ) ) ) ) ) ).
fof(dt_k4_absred_0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_unialg_1(A) & l1_unialg_1(A)) )  &  (m1_subset_1(B, k1_pua2mss1(u1_struct_0(A), u1_unialg_1(A))) & m1_subset_1(C, k1_relset_1(k3_finseq_2(u1_struct_0(A)), B))) )  => m1_subset_1(k4_absred_0(A, B, C), u1_struct_0(A))) ) ).
fof(redefinition_k4_absred_0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_unialg_1(A) & l1_unialg_1(A)) )  &  (m1_subset_1(B, k1_pua2mss1(u1_struct_0(A), u1_unialg_1(A))) & m1_subset_1(C, k1_relset_1(k3_finseq_2(u1_struct_0(A)), B))) )  => k4_absred_0(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k5_absred_0, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  =>  ( ~ (v2_struct_0(k5_absred_0(A, B)))  &  (v4_unialg_1(k5_absred_0(A, B)) &  (v14_absred_0(k5_absred_0(A, B)) & l2_absred_0(k5_absred_0(A, B))) ) ) ) ) ).
fof(dt_k6_absred_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) & l2_absred_0(A)) ) ) ) )  => m1_subset_1(k6_absred_0(A), u1_struct_0(A))) ) ).
fof(dt_k7_absred_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) & l2_absred_0(A)) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k7_absred_0(A, B), u1_struct_0(A))) ) ).
fof(dt_k8_absred_0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v15_absred_0(A) & l2_absred_0(A)) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k8_absred_0(A, B, C), u1_struct_0(A))) ) ).
fof(rd1_absvalue, axiom,  (! [A] :  ( (v1_xreal_0(A) &  ~ (v3_xxreal_0(A)) )  => k9_complex1(A)=A) ) ).
fof(fc1_absvalue, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_xreal_0(k1_absvalue(A)) & v1_int_1(k1_absvalue(A))) ) ) ).
fof(d1_absvalue, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( (r1_xxreal_0(k5_numbers, A) => k9_complex1(A)=A)  &  ( ~ (r1_xxreal_0(k5_numbers, A))  => k9_complex1(A)=k4_xcmplx_0(A)) ) ) ) ).
fof(t1_absvalue, axiom,  (! [A] :  (v1_xreal_0(A) =>  (k9_complex1(A)=A | k9_complex1(A)=k4_xcmplx_0(A)) ) ) ).
fof(t2_absvalue, axiom,  (! [A] :  (v1_xreal_0(A) =>  (A=k5_numbers <=> k9_complex1(A)=k5_numbers) ) ) ).
fof(t3_absvalue, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( (k9_complex1(A)=k4_xcmplx_0(A) &  ( ~ (A=k5_numbers)  & r1_xxreal_0(k5_numbers, A)) ) ) ) ) ).
fof(t4_absvalue, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r1_xxreal_0(k4_xcmplx_0(k9_complex1(A)), A) & r1_xxreal_0(A, k9_complex1(A))) ) ) ).
fof(t5_absvalue, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_xxreal_0(k4_xcmplx_0(B), A) & r1_xxreal_0(A, B))  <=> r1_xxreal_0(k9_complex1(A), B)) ) ) ) ) ).
fof(t6_absvalue, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (A=k5_numbers)  => k3_xcmplx_0(k9_complex1(A), k9_complex1(k7_xcmplx_0(1, A)))=1) ) ) ).
fof(t7_absvalue, axiom,  (! [A] :  (v1_xreal_0(A) => k9_complex1(k7_xcmplx_0(1, A))=k7_xcmplx_0(1, k9_complex1(A))) ) ).
fof(t8_absvalue, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(k5_numbers, k3_xcmplx_0(A, B)) => k3_square_1(k3_xcmplx_0(A, B))=k3_xcmplx_0(k3_square_1(k9_complex1(A)), k3_square_1(k9_complex1(B)))) ) ) ) ) ).
fof(t9_absvalue, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(k9_complex1(A), C) & r1_xxreal_0(k9_complex1(B), D))  => r1_xxreal_0(k9_complex1(k2_xcmplx_0(A, B)), k2_xcmplx_0(C, D))) ) ) ) ) ) ) ) ) ).
fof(t10_absvalue, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(k7_xcmplx_0(A, B), k5_numbers))  => k3_square_1(k7_xcmplx_0(A, B))=k7_xcmplx_0(k3_square_1(k9_complex1(A)), k3_square_1(k9_complex1(B)))) ) ) ) ) ).
fof(t11_absvalue, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(k5_numbers, k3_xcmplx_0(A, B)) => k9_complex1(k2_xcmplx_0(A, B))=k2_xcmplx_0(k9_complex1(A), k9_complex1(B))) ) ) ) ) ).
fof(t12_absvalue, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (k9_complex1(k2_xcmplx_0(A, B))=k2_xcmplx_0(k9_complex1(A), k9_complex1(B)) => r1_xxreal_0(k5_numbers, k3_xcmplx_0(A, B))) ) ) ) ) ).
fof(t13_absvalue, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => r1_xxreal_0(k7_xcmplx_0(k9_complex1(k2_xcmplx_0(A, B)), k2_xcmplx_0(1, k9_complex1(k2_xcmplx_0(A, B)))), k2_xcmplx_0(k7_xcmplx_0(k9_complex1(A), k2_xcmplx_0(1, k9_complex1(A))), k7_xcmplx_0(k9_complex1(B), k2_xcmplx_0(1, k9_complex1(B)))))) ) ) ) ).
fof(d2_absvalue, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ( ~ (r1_xxreal_0(A, k5_numbers))  => k1_absvalue(A)=1)  &  ( ( ~ (r1_xxreal_0(k5_numbers, A))  => k1_absvalue(A)=k4_xcmplx_0(1))  &  ( (r1_xxreal_0(A, k5_numbers) & r1_xxreal_0(k5_numbers, A))  => k1_absvalue(A)=k5_numbers) ) ) ) ) ).
fof(t14_absvalue, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( (k1_absvalue(A)=1 & r1_xxreal_0(A, k5_numbers)) ) ) ) ).
fof(t15_absvalue, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( (k1_absvalue(A)=k4_xcmplx_0(1) & r1_xxreal_0(k5_numbers, A)) ) ) ) ).
fof(t16_absvalue, axiom,  (! [A] :  (v1_xreal_0(A) =>  (k1_absvalue(A)=k5_numbers => A=k5_numbers) ) ) ).
fof(t17_absvalue, axiom,  (! [A] :  (v1_xreal_0(A) => A=k3_xcmplx_0(k9_complex1(A), k1_absvalue(A))) ) ).
fof(t18_absvalue, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_absvalue(k3_xcmplx_0(A, B))=k3_xcmplx_0(k1_absvalue(A), k1_absvalue(B))) ) ) ) ).
fof(t20_absvalue, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => r1_xxreal_0(k1_absvalue(k2_xcmplx_0(A, B)), k2_xcmplx_0(k2_xcmplx_0(k1_absvalue(A), k1_absvalue(B)), 1))) ) ) ) ).
fof(t21_absvalue, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (A=k5_numbers)  => k3_xcmplx_0(k1_absvalue(A), k1_absvalue(k7_xcmplx_0(1, A)))=1) ) ) ).
fof(t22_absvalue, axiom,  (! [A] :  (v1_xreal_0(A) => k7_xcmplx_0(1, k1_absvalue(A))=k1_absvalue(k7_xcmplx_0(1, A))) ) ).
fof(t23_absvalue, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => r1_xxreal_0(k6_xcmplx_0(k2_xcmplx_0(k1_absvalue(A), k1_absvalue(B)), 1), k1_absvalue(k2_xcmplx_0(A, B)))) ) ) ) ).
fof(t24_absvalue, axiom,  (! [A] :  (v1_xreal_0(A) => k1_absvalue(A)=k1_absvalue(k7_xcmplx_0(1, A))) ) ).
fof(t25_absvalue, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_absvalue(k7_xcmplx_0(A, B))=k7_xcmplx_0(k1_absvalue(A), k1_absvalue(B))) ) ) ) ).
fof(t26_absvalue, axiom,  (! [A] :  (v1_xreal_0(A) => r1_xxreal_0(k5_numbers, k2_xcmplx_0(A, k9_complex1(A)))) ) ).
fof(t27_absvalue, axiom,  (! [A] :  (v1_xreal_0(A) => r1_xxreal_0(k5_numbers, k2_xcmplx_0(k4_xcmplx_0(A), k9_complex1(A)))) ) ).
fof(t28_absvalue, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (k9_complex1(A)=k9_complex1(B) &  ( ~ (A=B)  &  ~ (A=k4_xcmplx_0(B)) ) ) ) ) ) ) ) ).
fof(t29_absvalue, axiom,  (! [A] :  (v7_ordinal1(A) => A=k9_complex1(A)) ) ).
fof(t30_absvalue, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r1_xxreal_0(A, k5_numbers) => k9_complex1(A)=k4_xcmplx_0(A)) ) ) ).
fof(dt_k1_absvalue, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xreal_0(k1_absvalue(A))) ) ).
fof(projectivity_k1_absvalue, axiom,  (! [A] :  (v1_xreal_0(A) => k1_absvalue(k1_absvalue(A))=k1_absvalue(A)) ) ).
fof(fc1_aescip_1, axiom,  (v1_funct_1(k3_aescip_1) &  (v1_funct_2(k3_aescip_1, k4_finseq_2(128, k5_margrel1), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & v3_funct_2(k3_aescip_1, k4_finseq_2(128, k5_margrel1), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))) ) ).
fof(t1_aescip_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (B=k5_numbers)  &  ( ~ (k4_nat_d(k1_nat_1(A, 1), B)=k5_numbers)  &  ~ (k4_nat_d(k1_nat_1(A, 1), B)=k1_nat_1(k4_nat_d(A, B), 1)) ) ) ) ) ) ) ) ).
fof(t2_aescip_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (B=k5_numbers)  &  ( ~ (k4_nat_d(k1_nat_1(A, 1), B)=k5_numbers)  &  ~ (k3_nat_d(k1_nat_1(A, 1), B)=k3_nat_d(A, B)) ) ) ) ) ) ) ) ).
fof(t3_aescip_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (k4_nat_d(k1_nat_1(A, 1), B)=k5_numbers =>  (B=k5_numbers | k6_xcmplx_0(B, 1)=k4_nat_d(A, B)) ) ) ) ) ) ).
fof(t4_aescip_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (k4_nat_d(k1_nat_1(A, 1), B)=k5_numbers =>  (B=k5_numbers | k3_nat_d(k1_nat_1(A, 1), B)=k1_nat_1(k3_nat_d(A, B), 1)) ) ) ) ) ) ).
fof(t5_aescip_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k5_int_1(k6_xcmplx_0(A, B), B)=k4_nat_d(A, B)) ) ) ) ).
fof(t6_aescip_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (B=k5_numbers)  => k4_int_1(k6_xcmplx_0(A, B), B)=k6_xcmplx_0(k3_nat_d(A, B), 1)) ) ) ) ) ).
fof(t7_aescip_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m2_finseq_2(D, k4_finseq_2(B, C), k4_finseq_2(A, k4_finseq_2(B, C))) =>  (! [E] :  (m2_finseq_2(E, k4_finseq_2(B, C), k4_finseq_2(A, k4_finseq_2(B, C))) =>  ( (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ( (r2_tarski(F, k2_finseq_1(A)) & r2_tarski(G, k2_finseq_1(B)))  => k1_funct_1(k1_funct_1(D, F), G)=k1_funct_1(k1_funct_1(E, F), G)) ) ) ) )  => D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_aescip_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) => m2_finseq_2(k9_finseq_4(A, B, C, D, E), A, k4_finseq_2(4, A))) ) ) ) ) ) ) ) ) ) ).
fof(t9_aescip_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) => m2_finseq_2(k10_finseq_4(A, B, C, D, E, F), A, k4_finseq_2(5, A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_aescip_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) =>  (! [H] :  (m1_subset_1(H, A) =>  (! [I] :  (m1_subset_1(I, A) => m2_finseq_2(k8_finseq_1(A, k9_finseq_4(A, B, C, D, E), k9_finseq_4(A, F, G, H, I)), A, k4_finseq_2(8, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_aescip_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) =>  (! [H] :  (m1_subset_1(H, A) =>  (! [I] :  (m1_subset_1(I, A) =>  (! [J] :  (m1_subset_1(J, A) =>  (! [K] :  (m1_subset_1(K, A) => m2_finseq_2(k8_finseq_1(A, k10_finseq_4(A, B, C, D, E, F), k10_finseq_4(A, G, H, I, J, K)), A, k4_finseq_2(10, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_aescip_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_2(B, A, k4_finseq_2(4, A)) =>  (! [C] :  (m2_finseq_2(C, A, k4_finseq_2(4, A)) =>  (! [D] :  (m2_finseq_2(D, A, k4_finseq_2(4, A)) =>  (! [E] :  (m2_finseq_2(E, A, k4_finseq_2(4, A)) =>  (! [F] :  (m2_finseq_2(F, A, k4_finseq_2(4, A)) =>  (! [G] :  (m2_finseq_2(G, A, k4_finseq_2(4, A)) =>  (! [H] :  (m2_finseq_2(H, A, k4_finseq_2(4, A)) =>  (! [I] :  (m2_finseq_2(I, A, k4_finseq_2(4, A)) => m2_finseq_2(k7_finseq_4(k8_finseq_1(A, B, F), k8_finseq_1(A, C, G), k8_finseq_1(A, D, H), k8_finseq_1(A, E, I)), k4_finseq_2(8, A), k4_finseq_2(4, k4_finseq_2(8, A)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_aescip_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_2(B, k4_finseq_2(4, A), k4_finseq_2(4, k4_finseq_2(4, A))) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ ( (r2_tarski(C, k2_finseq_1(4)) &  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) =>  ~ ( (D=k1_funct_1(k1_funct_1(B, C), 1) &  (E=k1_funct_1(k1_funct_1(B, C), 2) &  (F=k1_funct_1(k1_funct_1(B, C), 3) & G=k1_funct_1(k1_funct_1(B, C), 4)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_aescip_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  ( ( (! [E] :  (m1_subset_1(E, A) => k3_funct_2(B, A, D, k3_funct_2(A, B, C, E))=E) )  &  (! [E] :  (m1_subset_1(E, B) => k3_funct_2(A, B, C, k3_funct_2(B, A, D, E))=E) ) )  =>  (v2_funct_1(C) &  (v2_funct_2(C, B) &  (v2_funct_1(D) &  (v2_funct_2(D, A) &  (D=k2_funct_1(C) & C=k2_funct_1(D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_aescip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(128, k5_margrel1), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(128, k5_margrel1), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))))) )  =>  (A=k3_aescip_1 <=>  (! [B] :  (m2_finseq_2(B, k5_margrel1, k4_finseq_2(128, k5_margrel1)) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(C, k2_finseq_1(4)) & r2_tarski(D, k2_finseq_1(4)))  => k1_funct_1(k1_funct_1(k1_aescip_1(4, 4, k4_finseq_2(128, k5_margrel1), k4_finseq_2(8, k5_margrel1), A, B), C), D)=k3_finseq_6(k5_margrel1, B, k1_nat_1(k1_nat_1(1, k2_nat_1(k7_nat_d(C, 1), 8)), k2_nat_1(k7_nat_d(D, 1), 32)), k1_nat_1(k1_nat_1(k1_nat_1(1, k2_nat_1(k7_nat_d(C, 1), 8)), k2_nat_1(k7_nat_d(D, 1), 32)), 7))) ) ) ) ) ) ) ) ) ) ).
fof(t15_aescip_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, 128) &  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(B, k2_finseq_1(4)) &  (r2_tarski(C, k2_finseq_1(4)) &  (r1_xxreal_0(k1_nat_1(k1_nat_1(1, k2_nat_1(k7_nat_d(B, 1), 8)), k2_nat_1(k7_nat_d(C, 1), 32)), A) & r1_xxreal_0(A, k1_nat_1(k1_nat_1(k1_nat_1(1, k2_nat_1(k7_nat_d(B, 1), 8)), k2_nat_1(k7_nat_d(C, 1), 32)), 7))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_aescip_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, 128) &  (r2_tarski(B, k2_finseq_1(4)) &  (r2_tarski(C, k2_finseq_1(4)) &  (r2_tarski(D, k2_finseq_1(4)) &  (r2_tarski(E, k2_finseq_1(4)) &  (r1_xxreal_0(k1_nat_1(k1_nat_1(1, k2_nat_1(k7_nat_d(B, 1), 8)), k2_nat_1(k7_nat_d(C, 1), 32)), A) &  (r1_xxreal_0(A, k1_nat_1(k1_nat_1(k1_nat_1(1, k2_nat_1(k7_nat_d(B, 1), 8)), k2_nat_1(k7_nat_d(C, 1), 32)), 7)) &  (r1_xxreal_0(k1_nat_1(k1_nat_1(1, k2_nat_1(k7_nat_d(D, 1), 8)), k2_nat_1(k7_nat_d(E, 1), 32)), A) & r1_xxreal_0(A, k1_nat_1(k1_nat_1(k1_nat_1(1, k2_nat_1(k7_nat_d(D, 1), 8)), k2_nat_1(k7_nat_d(E, 1), 32)), 7))) ) ) ) ) ) ) ) )  =>  (B=D & C=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_aescip_1, axiom, v2_funct_1(k3_aescip_1)).
fof(t19_aescip_1, axiom, v2_funct_2(k3_aescip_1, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))).
fof(t20_aescip_1, axiom,  (! [A] :  (m2_finseq_2(A, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) => k1_funct_1(k3_aescip_1, k1_funct_1(k2_funct_1(k3_aescip_1), A))=A) ) ).
fof(d2_aescip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))))) )  =>  (B=k4_aescip_1(A) <=>  (! [C] :  (m2_finseq_2(C, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_tarski(D, k2_finseq_1(4)) &  (r2_tarski(E, k2_finseq_1(4)) &  (! [F] :  (m2_finseq_2(F, k5_margrel1, k4_finseq_2(8, k5_margrel1)) =>  ~ ( (F=k1_funct_1(k1_funct_1(C, D), E) & k1_funct_1(k1_funct_1(k1_aescip_1(4, 4, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(8, k5_margrel1), B, C), D), E)=k3_funct_2(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1), A, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_aescip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))))) )  =>  (B=k5_aescip_1(A) <=>  (! [C] :  (m2_finseq_2(C, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_tarski(D, k2_finseq_1(4)) &  (r2_tarski(E, k2_finseq_1(4)) &  (! [F] :  (m2_finseq_2(F, k5_margrel1, k4_finseq_2(8, k5_margrel1)) =>  ~ ( (F=k1_funct_1(k1_funct_1(C, D), E) & k1_funct_1(k1_funct_1(k1_aescip_1(4, 4, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(8, k5_margrel1), B, C), D), E)=k3_funct_2(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1), k2_funct_2(k4_finseq_2(8, k5_margrel1), A), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_aescip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  =>  (! [B] :  (m2_finseq_2(B, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) => k1_aescip_1(4, 4, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(8, k5_margrel1), k5_aescip_1(A), k1_aescip_1(4, 4, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(8, k5_margrel1), k4_aescip_1(A), B))=B) ) ) ) ).
fof(t22_aescip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  =>  (! [B] :  (m2_finseq_2(B, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) => k1_aescip_1(4, 4, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(8, k5_margrel1), k4_aescip_1(A), k1_aescip_1(4, 4, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(8, k5_margrel1), k5_aescip_1(A), B))=B) ) ) ) ).
fof(t23_aescip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  =>  (v2_funct_1(k4_aescip_1(A)) &  (v2_funct_2(k4_aescip_1(A), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) &  (v2_funct_1(k5_aescip_1(A)) &  (v2_funct_2(k5_aescip_1(A), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) &  (k5_aescip_1(A)=k2_funct_1(k4_aescip_1(A)) & k4_aescip_1(A)=k2_funct_1(k5_aescip_1(A))) ) ) ) ) ) ) ).
fof(d4_aescip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))))) )  =>  (A=k6_aescip_1 <=>  (! [B] :  (m2_finseq_2(B, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(C, k2_finseq_1(4)) &  (! [D] :  (m2_finseq_2(D, k4_finseq_2(8, k5_margrel1), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))) =>  ~ ( (D=k1_funct_1(B, C) & k1_funct_1(k1_aescip_1(4, 4, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(8, k5_margrel1), A, B), C)=k8_descip_1(k4_finseq_2(8, k5_margrel1), D, k6_xcmplx_0(5, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_aescip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))))) )  =>  (A=k7_aescip_1 <=>  (! [B] :  (m2_finseq_2(B, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(C, k2_finseq_1(4)) &  (! [D] :  (m2_finseq_2(D, k4_finseq_2(8, k5_margrel1), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))) =>  ~ ( (D=k1_funct_1(B, C) & k1_funct_1(k1_aescip_1(4, 4, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(8, k5_margrel1), A, B), C)=k8_descip_1(k4_finseq_2(8, k5_margrel1), D, k6_xcmplx_0(C, 1))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_aescip_1, axiom,  (! [A] :  (m2_finseq_2(A, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) => k1_aescip_1(4, 4, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(8, k5_margrel1), k7_aescip_1, k1_aescip_1(4, 4, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(8, k5_margrel1), k6_aescip_1, A))=A) ) ).
fof(t25_aescip_1, axiom,  (! [A] :  (m2_finseq_2(A, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) => k1_aescip_1(4, 4, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(8, k5_margrel1), k6_aescip_1, k1_aescip_1(4, 4, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(8, k5_margrel1), k7_aescip_1, A))=A) ) ).
fof(t26_aescip_1, axiom,  (v2_funct_1(k6_aescip_1) &  (v2_funct_2(k6_aescip_1, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) &  (v2_funct_1(k7_aescip_1) &  (v2_funct_2(k7_aescip_1, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) &  (k7_aescip_1=k2_funct_1(k6_aescip_1) & k6_aescip_1=k2_funct_1(k7_aescip_1)) ) ) ) ) ).
fof(d6_aescip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))))) )  =>  (A=k8_aescip_1 <=>  (! [B] :  (m2_finseq_2(B, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) =>  (! [C] :  (m2_finseq_2(C, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_tarski(D, k2_finseq_1(4)) &  (r2_tarski(E, k2_finseq_1(4)) &  (! [F] :  (m2_finseq_2(F, k5_margrel1, k4_finseq_2(8, k5_margrel1)) =>  (! [G] :  (m2_finseq_2(G, k5_margrel1, k4_finseq_2(8, k5_margrel1)) =>  ~ ( (F=k1_funct_1(k1_funct_1(B, D), E) &  (G=k1_funct_1(k1_funct_1(C, D), E) & k1_funct_1(k1_funct_1(k2_aescip_1(4, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), A, B, C), D), E)=k11_descip_1(8, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_aescip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  =>  (! [B] :  (m2_finseq_2(B, k4_finseq_2(8, k5_margrel1), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))) =>  (! [C] :  (m2_finseq_2(C, k4_finseq_2(8, k5_margrel1), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))) =>  (C=k9_aescip_1(A, B) <=>  (! [D] :  (m2_subset_1(D, k4_ordinal1, k2_finseq_1(4)) => k12_descip_1(8, 4, C, D)=k3_funct_2(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1), A, k12_descip_1(8, 4, B, D))) ) ) ) ) ) ) ) ) ).
fof(d8_aescip_1, axiom,  (! [A] :  (m2_finseq_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))) => k10_aescip_1(A)=k6_descip_1(A)) ) ).
fof(d9_aescip_1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  (m2_finseq_2(C, k4_finseq_2(A, k5_margrel1), k4_finseq_2(B, k4_finseq_2(A, k5_margrel1))) =>  (! [D] :  (m2_finseq_2(D, k4_finseq_2(A, k5_margrel1), k4_finseq_2(B, k4_finseq_2(A, k5_margrel1))) =>  (! [E] :  (m2_finseq_2(E, k4_finseq_2(A, k5_margrel1), k4_finseq_2(B, k4_finseq_2(A, k5_margrel1))) =>  (E=k11_aescip_1(A, B, C, D) <=>  (! [F] :  (m2_subset_1(F, k4_ordinal1, k2_finseq_1(B)) => k12_descip_1(A, B, E, F)=k11_descip_1(A, k12_descip_1(A, B, C, F), k12_descip_1(A, B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_aescip_1, axiom,  (! [A] :  (m2_finseq_2(A, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(10, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) =>  (A=k12_aescip_1 <=>  (k1_funct_1(A, 1)=k7_finseq_4(k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers), k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, 1)), k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers), k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers)), k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers), k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers)), k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers), k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers))) &  (k1_funct_1(A, 2)=k7_finseq_4(k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers), k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, 1, k5_numbers)), k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers), k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers)), k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers), k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers)), k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers), k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers))) &  (k1_funct_1(A, 3)=k7_finseq_4(k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers), k9_finseq_4(k4_ordinal1, k5_numbers, 1, k5_numbers, k5_numbers)), k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers), k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers)), k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers), k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers)), k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers), k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers))) &  (k1_funct_1(A, 4)=k7_finseq_4(k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers), k9_finseq_4(k4_ordinal1, 1, k5_numbers, k5_numbers, k5_numbers)), k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers), k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers)), k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers), k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers)), k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers), k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers))) &  (k1_funct_1(A, 5)=k7_finseq_4(k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, 1), k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers)), k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers), k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers)), k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers), k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers)), k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers), k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers))) &  (k1_funct_1(A, 6)=k7_finseq_4(k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, 1, k5_numbers), k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers)), k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers), k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers)), k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers), k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers)), k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers), k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers))) &  (k1_funct_1(A, 7)=k7_finseq_4(k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, k5_numbers, 1, k5_numbers, k5_numbers), k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers)), k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers), k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers)), k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers), k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers)), k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers), k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers))) &  (k1_funct_1(A, 8)=k7_finseq_4(k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, 1, k5_numbers, k5_numbers, k5_numbers), k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers)), k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers), k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers)), k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers), k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers)), k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers), k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers))) &  (k1_funct_1(A, 9)=k7_finseq_4(k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, 1), k9_finseq_4(k4_ordinal1, 1, k5_numbers, 1, 1)), k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers), k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers)), k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers), k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers)), k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers), k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers))) & k1_funct_1(A, 10)=k7_finseq_4(k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, 1, 1), k9_finseq_4(k4_ordinal1, k5_numbers, 1, 1, k5_numbers)), k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers), k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers)), k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers), k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers)), k8_finseq_1(k4_ordinal1, k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers), k9_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, k5_numbers, k5_numbers)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_aescip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_2(D, k4_finseq_2(8, k5_margrel1), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))) =>  (r1_xxreal_0(B, C) =>  ( ( ~ (B=4)  &  ( ~ (B=6)  &  ~ (B=8) ) )  |  (r1_xxreal_0(k3_xcmplx_0(4, k2_xcmplx_0(7, B)), C) |  (! [E] :  (m2_finseq_2(E, k4_finseq_2(8, k5_margrel1), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))) =>  ( (k4_nat_d(C, B)=k5_numbers =>  (E=k13_aescip_1(A, B, C, D) <=>  (? [F] :  (m2_finseq_2(F, k4_finseq_2(8, k5_margrel1), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))) &  (F=k1_funct_1(k12_aescip_1, k7_xcmplx_0(C, B)) & E=k11_aescip_1(8, 4, k9_aescip_1(A, k10_aescip_1(D)), F)) ) ) ) )  &  ( ( (B=8 & k4_nat_d(C, 8)=4)  =>  (E=k13_aescip_1(A, B, C, D) <=> E=k9_aescip_1(A, D)) )  &  ~ ( ( ~ (k4_nat_d(C, B)=k5_numbers)  &  ( ~ ( (B=8 & k4_nat_d(C, 8)=4) )  &  ~ ( (E=k13_aescip_1(A, B, C, D) <=> E=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_aescip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ ( ( ~ (B=4)  &  ( ~ (B=6)  &  ~ (B=8) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_2(B, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(k3_xcmplx_0(4, k2_xcmplx_0(7, B)), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(B, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(k3_xcmplx_0(4, k2_xcmplx_0(7, B)), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))))) )  =>  (C=k14_aescip_1(A, B) <=>  (! [D] :  (m2_finseq_2(D, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(B, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) =>  ( (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( ~ (r1_xxreal_0(B, E))  => k1_funct_1(k1_aescip_1(k3_xcmplx_0(4, k2_xcmplx_0(7, B)), 4, k4_finseq_2(B, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(8, k5_margrel1), C, D), k1_nat_1(E, 1))=k1_funct_1(D, k1_nat_1(E, 1))) ) )  &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ~ ( (r1_xxreal_0(B, E) &  ( ~ (r1_xxreal_0(k3_xcmplx_0(4, k2_xcmplx_0(7, B)), E))  &  (! [F] :  (m2_finseq_2(F, k4_finseq_2(8, k5_margrel1), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))) =>  (! [G] :  (m2_finseq_2(G, k4_finseq_2(8, k5_margrel1), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))) =>  ~ ( (F=k1_funct_1(k1_aescip_1(k3_xcmplx_0(4, k2_xcmplx_0(7, B)), 4, k4_finseq_2(B, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(8, k5_margrel1), C, D), k2_xcmplx_0(k6_xcmplx_0(E, B), 1)) &  (G=k1_funct_1(k1_aescip_1(k3_xcmplx_0(4, k2_xcmplx_0(7, B)), 4, k4_finseq_2(B, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(8, k5_margrel1), C, D), E) & k1_funct_1(k1_aescip_1(k3_xcmplx_0(4, k2_xcmplx_0(7, B)), 4, k4_finseq_2(B, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(8, k5_margrel1), C, D), k1_nat_1(E, 1))=k11_aescip_1(8, 4, F, k13_aescip_1(A, B, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_aescip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_2(B, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(k2_xcmplx_0(7, B), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(B, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(k2_xcmplx_0(7, B), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))))))) )  =>  (C=k15_aescip_1(A, B) <=>  (! [D] :  (m2_finseq_2(D, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(B, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) =>  (? [E] :  (m2_finseq_2(E, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(k3_xcmplx_0(4, k2_xcmplx_0(7, B)), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) &  (E=k1_aescip_1(k3_xcmplx_0(4, k2_xcmplx_0(7, B)), 4, k4_finseq_2(B, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(8, k5_margrel1), k14_aescip_1(A, B), D) &  (! [F] :  (v7_ordinal1(F) =>  ( ~ (r1_xxreal_0(k2_xcmplx_0(7, B), F))  => k1_funct_1(k1_aescip_1(k2_xcmplx_0(7, B), 4, k4_finseq_2(B, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), C, D), k1_nat_1(F, 1))=k7_finseq_4(k1_funct_1(E, k1_nat_1(k3_xcmplx_0(4, F), 1)), k1_funct_1(E, k1_nat_1(k3_xcmplx_0(4, F), 2)), k1_funct_1(E, k1_nat_1(k3_xcmplx_0(4, F), 3)), k1_funct_1(E, k1_nat_1(k3_xcmplx_0(4, F), 4)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_aescip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) &  (v3_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))))) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_2(D, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) =>  (! [E] :  (m2_finseq_2(E, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(C, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) =>  (! [F] :  (m2_finseq_2(F, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) =>  (F=k16_aescip_1(A, B, C, D, E) <=>  (? [G] :  (m2_finseq_1(G, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) &  (k3_finseq_1(G)=k6_xcmplx_0(k2_xcmplx_0(7, C), 1) &  ( (? [H] :  (m2_finseq_2(H, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) &  (H=k1_funct_1(k1_aescip_1(k2_xcmplx_0(7, C), 4, k4_finseq_2(C, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k15_aescip_1(A, C), E), 1) & k1_funct_1(G, 1)=k2_aescip_1(4, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k8_aescip_1, D, H)) ) )  &  ( (! [H] :  (v7_ordinal1(H) =>  ~ ( (r1_xxreal_0(1, H) &  ( ~ (r1_xxreal_0(k6_xcmplx_0(k2_xcmplx_0(7, C), 1), H))  &  (! [I] :  (m2_finseq_2(I, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) =>  ~ ( (I=k1_funct_1(k1_aescip_1(k2_xcmplx_0(7, C), 4, k4_finseq_2(C, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k15_aescip_1(A, C), E), k1_nat_1(H, 1)) & k1_funct_1(G, k1_nat_1(H, 1))=k1_binop_1(k8_aescip_1, k1_funct_1(k1_partfun1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_aescip_1(A), k1_partfun1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k6_aescip_1, B)), k1_funct_1(G, H)), I)) ) ) ) ) ) ) ) )  &  (? [H] :  (m2_finseq_2(H, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) &  (H=k1_funct_1(k1_aescip_1(k2_xcmplx_0(7, C), 4, k4_finseq_2(C, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k15_aescip_1(A, C), E), k2_xcmplx_0(7, C)) & F=k1_binop_1(k8_aescip_1, k1_funct_1(k1_partfun1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_aescip_1(A), k6_aescip_1), k1_funct_1(G, k6_xcmplx_0(k2_xcmplx_0(7, C), 1))), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_aescip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) &  (v3_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))))) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_2(D, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) =>  (! [E] :  (m2_finseq_2(E, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(C, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) =>  (! [F] :  (m2_finseq_2(F, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) =>  (F=k17_aescip_1(A, B, C, D, E) <=>  (? [G] :  (m2_finseq_1(G, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) &  (k3_finseq_1(G)=k6_xcmplx_0(k2_xcmplx_0(7, C), 1) &  ( (? [H] :  (m2_finseq_2(H, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) &  (H=k1_funct_1(k1_descip_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k2_xcmplx_0(7, C), k1_aescip_1(k2_xcmplx_0(7, C), 4, k4_finseq_2(C, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k15_aescip_1(A, C), E)), 1) & k1_funct_1(G, 1)=k1_aescip_1(4, 4, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(8, k5_margrel1), k1_partfun1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k7_aescip_1, k5_aescip_1(A)), k2_aescip_1(4, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k8_aescip_1, D, H))) ) )  &  ( (! [H] :  (v7_ordinal1(H) =>  ~ ( (r1_xxreal_0(1, H) &  ( ~ (r1_xxreal_0(k6_xcmplx_0(k2_xcmplx_0(7, C), 1), H))  &  (! [I] :  (m2_finseq_2(I, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) =>  ~ ( (I=k1_funct_1(k1_descip_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k2_xcmplx_0(7, C), k1_aescip_1(k2_xcmplx_0(7, C), 4, k4_finseq_2(C, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k15_aescip_1(A, C), E)), k1_nat_1(H, 1)) & k1_funct_1(G, k1_nat_1(H, 1))=k1_funct_1(k1_partfun1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k2_funct_2(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), B), k1_partfun1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k7_aescip_1, k5_aescip_1(A))), k1_binop_1(k8_aescip_1, k1_funct_1(G, H), I))) ) ) ) ) ) ) ) )  &  (? [H] :  (m2_finseq_2(H, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) &  (H=k1_funct_1(k1_descip_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k2_xcmplx_0(7, C), k1_aescip_1(k2_xcmplx_0(7, C), 4, k4_finseq_2(C, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k15_aescip_1(A, C), E)), k2_xcmplx_0(7, C)) & F=k1_binop_1(k8_aescip_1, k1_funct_1(G, k6_xcmplx_0(k2_xcmplx_0(7, C), 1)), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_aescip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) &  (v3_funct_2(A, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))))) ) )  =>  (! [B] :  (m2_finseq_2(B, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) => k1_aescip_1(4, 4, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(8, k5_margrel1), k2_funct_2(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), A), k1_aescip_1(4, 4, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(8, k5_margrel1), A, B))=B) ) ) ) ).
fof(t28_aescip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) &  (v3_funct_2(A, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))))) ) )  =>  (! [B] :  (m2_finseq_2(B, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) => k1_aescip_1(4, 4, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(8, k5_margrel1), A, k1_aescip_1(4, 4, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(8, k5_margrel1), k2_funct_2(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), A), B))=B) ) ) ) ).
fof(t29_aescip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_2(C, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) => k1_aescip_1(4, 4, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(8, k5_margrel1), k1_partfun1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k7_aescip_1, k5_aescip_1(A)), k1_aescip_1(4, 4, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(8, k5_margrel1), k1_partfun1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_aescip_1(A), k6_aescip_1), C))=C) ) ) ) ) ) ).
fof(t30_aescip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) &  (v3_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))))) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_2(D, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) => k1_aescip_1(4, 4, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(8, k5_margrel1), k1_partfun1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k2_funct_2(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), B), k1_partfun1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k7_aescip_1, k5_aescip_1(A))), k1_aescip_1(4, 4, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(8, k5_margrel1), k1_partfun1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_aescip_1(A), k1_partfun1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k6_aescip_1, B)), D))=D) ) ) ) ) ) ) ) ).
fof(t31_aescip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_2(C, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) =>  (! [D] :  (m2_finseq_2(D, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(B, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) =>  (! [E] :  (m2_finseq_2(E, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) =>  (! [F] :  (m2_finseq_2(F, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) =>  ( (E=k1_funct_1(k1_descip_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k2_xcmplx_0(7, B), k1_aescip_1(k2_xcmplx_0(7, B), 4, k4_finseq_2(B, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k15_aescip_1(A, B), D)), 1) & F=k1_funct_1(k1_aescip_1(k2_xcmplx_0(7, B), 4, k4_finseq_2(B, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k15_aescip_1(A, B), D), k2_xcmplx_0(7, B)))  =>  ( ( ~ (B=4)  &  ( ~ (B=6)  &  ~ (B=8) ) )  | k2_aescip_1(4, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k8_aescip_1, k2_aescip_1(4, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k8_aescip_1, C, F), E)=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_aescip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_2(C, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) =>  (! [D] :  (m2_finseq_2(D, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(B, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) =>  (! [E] :  (m2_finseq_2(E, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) =>  (! [F] :  (m2_finseq_2(F, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) =>  ( (E=k1_funct_1(k1_aescip_1(k2_xcmplx_0(7, B), 4, k4_finseq_2(B, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k15_aescip_1(A, B), D), 1) & F=k1_funct_1(k1_descip_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k2_xcmplx_0(7, B), k1_aescip_1(k2_xcmplx_0(7, B), 4, k4_finseq_2(B, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k15_aescip_1(A, B), D)), k2_xcmplx_0(7, B)))  =>  ( ( ~ (B=4)  &  ( ~ (B=6)  &  ~ (B=8) ) )  | k2_aescip_1(4, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k8_aescip_1, k2_aescip_1(4, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k8_aescip_1, C, F), E)=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_aescip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_2(C, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) =>  (! [D] :  (m2_finseq_2(D, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) =>  (! [E] :  (m2_finseq_2(E, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(B, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) =>  (! [F] :  (m2_finseq_2(F, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) =>  (! [G] :  (m2_finseq_2(G, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) =>  ( (F=k1_funct_1(k1_aescip_1(k2_xcmplx_0(7, B), 4, k4_finseq_2(B, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k15_aescip_1(A, B), E), 1) &  (G=k1_funct_1(k1_descip_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k2_xcmplx_0(7, B), k1_aescip_1(k2_xcmplx_0(7, B), 4, k4_finseq_2(B, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k15_aescip_1(A, B), E)), k2_xcmplx_0(7, B)) & D=k2_aescip_1(4, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k8_aescip_1, k1_aescip_1(4, 4, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(8, k5_margrel1), k1_partfun1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_aescip_1(A), k6_aescip_1), C), G)) )  =>  ( ( ~ (B=4)  &  ( ~ (B=6)  &  ~ (B=8) ) )  | k1_aescip_1(4, 4, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(8, k5_margrel1), k1_partfun1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k7_aescip_1, k5_aescip_1(A)), k2_aescip_1(4, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k8_aescip_1, D, F))=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_aescip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_2(D, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) =>  (! [E] :  (m2_finseq_2(E, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(B, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) =>  (! [F] :  (m2_finseq_2(F, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) =>  (! [G] :  (m2_finseq_2(G, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) =>  ( (r1_xxreal_0(C, k6_xcmplx_0(k2_xcmplx_0(7, B), 1)) &  (F=k1_funct_1(k1_aescip_1(k2_xcmplx_0(7, B), 4, k4_finseq_2(B, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k15_aescip_1(A, B), E), k6_xcmplx_0(k2_xcmplx_0(7, B), C)) & G=k1_funct_1(k1_descip_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k2_xcmplx_0(7, B), k1_aescip_1(k2_xcmplx_0(7, B), 4, k4_finseq_2(B, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k15_aescip_1(A, B), E)), k1_nat_1(C, 1))) )  =>  ( ( ~ (B=4)  &  ( ~ (B=6)  &  ~ (B=8) ) )  | k2_aescip_1(4, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k8_aescip_1, k2_aescip_1(4, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k8_aescip_1, D, F), G)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_aescip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) &  (v3_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))))) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_2(D, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) =>  (! [E] :  (m2_finseq_2(E, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(C, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) =>  ( ~ ( ( ~ (C=4)  &  ( ~ (C=6)  &  ~ (C=8) ) ) )  => k17_aescip_1(A, B, C, k16_aescip_1(A, B, C, D, E), E)=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_aescip_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & m1_subset_1(C, k4_ordinal1))  =>  (! [D] :  (m2_finseq_2(D, A, k4_finseq_2(B, A)) =>  ( (r1_xxreal_0(C, B) & r1_xxreal_0(8, k6_xcmplx_0(B, C)))  => m2_finseq_2(k2_descip_1(A, 8, k3_descip_1(A, C, D)), A, k4_finseq_2(8, A))) ) ) ) ) ) ) ) ) ).
fof(d16_aescip_1, axiom,  (! [A] :  (m2_finseq_2(A, k5_margrel1, k4_finseq_2(128, k5_margrel1)) =>  (! [B] :  (m2_finseq_2(B, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) =>  (B=k18_aescip_1(A) <=>  (k1_funct_1(B, 1)=k7_finseq_4(k2_descip_1(k5_margrel1, 8, A), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 8, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 16, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 24, A))) &  (k1_funct_1(B, 2)=k7_finseq_4(k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 32, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 40, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 48, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 56, A))) &  (k1_funct_1(B, 3)=k7_finseq_4(k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 64, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 72, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 80, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 88, A))) & k1_funct_1(B, 4)=k7_finseq_4(k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 96, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 104, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 112, A)), k3_descip_1(k5_margrel1, 120, A))) ) ) ) ) ) ) ) ).
fof(d17_aescip_1, axiom,  (! [A] :  (m2_finseq_2(A, k5_margrel1, k4_finseq_2(192, k5_margrel1)) =>  (! [B] :  (m2_finseq_2(B, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(6, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) =>  (B=k19_aescip_1(A) <=>  (k1_funct_1(B, 1)=k7_finseq_4(k2_descip_1(k5_margrel1, 8, A), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 8, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 16, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 24, A))) &  (k1_funct_1(B, 2)=k7_finseq_4(k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 32, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 40, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 48, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 56, A))) &  (k1_funct_1(B, 3)=k7_finseq_4(k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 64, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 72, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 80, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 88, A))) &  (k1_funct_1(B, 4)=k7_finseq_4(k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 96, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 104, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 112, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 120, A))) &  (k1_funct_1(B, 5)=k7_finseq_4(k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 128, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 136, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 144, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 152, A))) & k1_funct_1(B, 6)=k7_finseq_4(k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 160, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 168, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 176, A)), k3_descip_1(k5_margrel1, 184, A))) ) ) ) ) ) ) ) ) ) ).
fof(d18_aescip_1, axiom,  (! [A] :  (m2_finseq_2(A, k5_margrel1, k4_finseq_2(256, k5_margrel1)) =>  (! [B] :  (m2_finseq_2(B, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(8, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) =>  (B=k20_aescip_1(A) <=>  (k1_funct_1(B, 1)=k7_finseq_4(k2_descip_1(k5_margrel1, 8, A), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 8, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 16, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 24, A))) &  (k1_funct_1(B, 2)=k7_finseq_4(k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 32, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 40, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 48, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 56, A))) &  (k1_funct_1(B, 3)=k7_finseq_4(k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 64, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 72, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 80, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 88, A))) &  (k1_funct_1(B, 4)=k7_finseq_4(k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 96, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 104, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 112, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 120, A))) &  (k1_funct_1(B, 5)=k7_finseq_4(k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 128, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 136, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 144, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 152, A))) &  (k1_funct_1(B, 6)=k7_finseq_4(k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 160, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 168, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 176, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 184, A))) &  (k1_funct_1(B, 7)=k7_finseq_4(k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 192, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 200, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 208, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 216, A))) & k1_funct_1(B, 8)=k7_finseq_4(k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 224, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 232, A)), k2_descip_1(k5_margrel1, 8, k3_descip_1(k5_margrel1, 240, A)), k3_descip_1(k5_margrel1, 248, A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_aescip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) &  (v3_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))))) ) )  =>  (! [C] :  (m2_finseq_2(C, k5_margrel1, k4_finseq_2(128, k5_margrel1)) =>  (! [D] :  (m2_finseq_2(D, k5_margrel1, k4_finseq_2(128, k5_margrel1)) => k21_aescip_1(A, B, C, D)=k1_funct_1(k2_funct_1(k3_aescip_1), k16_aescip_1(A, B, 4, k1_aescip_1(4, 4, k4_finseq_2(128, k5_margrel1), k4_finseq_2(8, k5_margrel1), k3_aescip_1, C), k18_aescip_1(D)))) ) ) ) ) ) ) ) ).
fof(d20_aescip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) &  (v3_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))))) ) )  =>  (! [C] :  (m2_finseq_2(C, k5_margrel1, k4_finseq_2(128, k5_margrel1)) =>  (! [D] :  (m2_finseq_2(D, k5_margrel1, k4_finseq_2(128, k5_margrel1)) => k22_aescip_1(A, B, C, D)=k1_funct_1(k2_funct_1(k3_aescip_1), k17_aescip_1(A, B, 4, k1_aescip_1(4, 4, k4_finseq_2(128, k5_margrel1), k4_finseq_2(8, k5_margrel1), k3_aescip_1, C), k18_aescip_1(D)))) ) ) ) ) ) ) ) ).
fof(t37_aescip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) &  (v3_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))))) ) )  =>  (! [C] :  (m2_finseq_2(C, k5_margrel1, k4_finseq_2(128, k5_margrel1)) =>  (! [D] :  (m2_finseq_2(D, k5_margrel1, k4_finseq_2(128, k5_margrel1)) => k22_aescip_1(A, B, k21_aescip_1(A, B, C, D), D)=C) ) ) ) ) ) ) ) ).
fof(d21_aescip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) &  (v3_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))))) ) )  =>  (! [C] :  (m2_finseq_2(C, k5_margrel1, k4_finseq_2(128, k5_margrel1)) =>  (! [D] :  (m2_finseq_2(D, k5_margrel1, k4_finseq_2(192, k5_margrel1)) => k23_aescip_1(A, B, C, D)=k1_funct_1(k2_funct_1(k3_aescip_1), k16_aescip_1(A, B, 6, k1_aescip_1(4, 4, k4_finseq_2(128, k5_margrel1), k4_finseq_2(8, k5_margrel1), k3_aescip_1, C), k19_aescip_1(D)))) ) ) ) ) ) ) ) ).
fof(d22_aescip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) &  (v3_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))))) ) )  =>  (! [C] :  (m2_finseq_2(C, k5_margrel1, k4_finseq_2(128, k5_margrel1)) =>  (! [D] :  (m2_finseq_2(D, k5_margrel1, k4_finseq_2(192, k5_margrel1)) => k24_aescip_1(A, B, C, D)=k1_funct_1(k2_funct_1(k3_aescip_1), k17_aescip_1(A, B, 6, k1_aescip_1(4, 4, k4_finseq_2(128, k5_margrel1), k4_finseq_2(8, k5_margrel1), k3_aescip_1, C), k19_aescip_1(D)))) ) ) ) ) ) ) ) ).
fof(t38_aescip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) &  (v3_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))))) ) )  =>  (! [C] :  (m2_finseq_2(C, k5_margrel1, k4_finseq_2(128, k5_margrel1)) =>  (! [D] :  (m2_finseq_2(D, k5_margrel1, k4_finseq_2(192, k5_margrel1)) => k24_aescip_1(A, B, k23_aescip_1(A, B, C, D), D)=C) ) ) ) ) ) ) ) ).
fof(d23_aescip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) &  (v3_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))))) ) )  =>  (! [C] :  (m2_finseq_2(C, k5_margrel1, k4_finseq_2(128, k5_margrel1)) =>  (! [D] :  (m2_finseq_2(D, k5_margrel1, k4_finseq_2(256, k5_margrel1)) => k25_aescip_1(A, B, C, D)=k1_funct_1(k2_funct_1(k3_aescip_1), k16_aescip_1(A, B, 8, k1_aescip_1(4, 4, k4_finseq_2(128, k5_margrel1), k4_finseq_2(8, k5_margrel1), k3_aescip_1, C), k20_aescip_1(D)))) ) ) ) ) ) ) ) ).
fof(d24_aescip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) &  (v3_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))))) ) )  =>  (! [C] :  (m2_finseq_2(C, k5_margrel1, k4_finseq_2(128, k5_margrel1)) =>  (! [D] :  (m2_finseq_2(D, k5_margrel1, k4_finseq_2(256, k5_margrel1)) => k26_aescip_1(A, B, C, D)=k1_funct_1(k2_funct_1(k3_aescip_1), k17_aescip_1(A, B, 8, k1_aescip_1(4, 4, k4_finseq_2(128, k5_margrel1), k4_finseq_2(8, k5_margrel1), k3_aescip_1, C), k20_aescip_1(D)))) ) ) ) ) ) ) ) ).
fof(t39_aescip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) &  (v3_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))))) ) )  =>  (! [C] :  (m2_finseq_2(C, k5_margrel1, k4_finseq_2(128, k5_margrel1)) =>  (! [D] :  (m2_finseq_2(D, k5_margrel1, k4_finseq_2(256, k5_margrel1)) => k26_aescip_1(A, B, k25_aescip_1(A, B, C, D), D)=C) ) ) ) ) ) ) ) ).
fof(dt_k1_aescip_1, axiom,  (! [A, B, C, D, E, F] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k4_finseq_2(A, k4_finseq_2(B, D))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k4_finseq_2(A, k4_finseq_2(B, D)))))) )  & m1_subset_1(F, C)) ) ) ) )  => m2_finseq_2(k1_aescip_1(A, B, C, D, E, F), k4_finseq_2(B, D), k4_finseq_2(A, k4_finseq_2(B, D)))) ) ).
fof(redefinition_k1_aescip_1, axiom,  (! [A, B, C, D, E, F] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k4_finseq_2(A, k4_finseq_2(B, D))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k4_finseq_2(A, k4_finseq_2(B, D)))))) )  & m1_subset_1(F, C)) ) ) ) )  => k1_aescip_1(A, B, C, D, E, F)=k1_funct_1(E, F)) ) ).
fof(dt_k2_aescip_1, axiom,  (! [A, B, C, D, E, F, G] :  ( (v7_ordinal1(A) &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, C), k4_finseq_2(A, D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), k4_finseq_2(A, D))))) )  &  (m1_subset_1(F, B) & m1_subset_1(G, C)) ) ) ) ) )  => m2_finseq_2(k2_aescip_1(A, B, C, D, E, F, G), D, k4_finseq_2(A, D))) ) ).
fof(redefinition_k2_aescip_1, axiom,  (! [A, B, C, D, E, F, G] :  ( (v7_ordinal1(A) &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, C), k4_finseq_2(A, D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), k4_finseq_2(A, D))))) )  &  (m1_subset_1(F, B) & m1_subset_1(G, C)) ) ) ) ) )  => k2_aescip_1(A, B, C, D, E, F, G)=k1_binop_1(E, F, G)) ) ).
fof(dt_k3_aescip_1, axiom,  (v1_funct_1(k3_aescip_1) &  (v1_funct_2(k3_aescip_1, k4_finseq_2(128, k5_margrel1), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & m1_subset_1(k3_aescip_1, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(128, k5_margrel1), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))))) ) ).
fof(dt_k4_aescip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  =>  (v1_funct_1(k4_aescip_1(A)) &  (v1_funct_2(k4_aescip_1(A), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & m1_subset_1(k4_aescip_1(A), k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))))) ) ) ) ).
fof(dt_k5_aescip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  =>  (v1_funct_1(k5_aescip_1(A)) &  (v1_funct_2(k5_aescip_1(A), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & m1_subset_1(k5_aescip_1(A), k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))))) ) ) ) ).
fof(dt_k6_aescip_1, axiom,  (v1_funct_1(k6_aescip_1) &  (v1_funct_2(k6_aescip_1, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & m1_subset_1(k6_aescip_1, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))))) ) ).
fof(dt_k7_aescip_1, axiom,  (v1_funct_1(k7_aescip_1) &  (v1_funct_2(k7_aescip_1, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & m1_subset_1(k7_aescip_1, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))))) ) ).
fof(dt_k8_aescip_1, axiom,  (v1_funct_1(k8_aescip_1) &  (v1_funct_2(k8_aescip_1, k2_zfmisc_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & m1_subset_1(k8_aescip_1, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))))) ) ).
fof(dt_k9_aescip_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  & m1_subset_1(B, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))  => m2_finseq_2(k9_aescip_1(A, B), k4_finseq_2(8, k5_margrel1), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) ) ).
fof(dt_k10_aescip_1, axiom,  (! [A] :  (m1_subset_1(A, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))) => m2_finseq_2(k10_aescip_1(A), k4_finseq_2(8, k5_margrel1), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) ) ).
fof(dt_k11_aescip_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  &  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  &  (m1_subset_1(C, k4_finseq_2(B, k4_finseq_2(A, k5_margrel1))) & m1_subset_1(D, k4_finseq_2(B, k4_finseq_2(A, k5_margrel1)))) ) )  => m2_finseq_2(k11_aescip_1(A, B, C, D), k4_finseq_2(A, k5_margrel1), k4_finseq_2(B, k4_finseq_2(A, k5_margrel1)))) ) ).
fof(dt_k12_aescip_1, axiom, m2_finseq_2(k12_aescip_1, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(10, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))).
fof(dt_k13_aescip_1, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  &  (v7_ordinal1(B) &  (v7_ordinal1(C) & m1_subset_1(D, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) ) )  => m2_finseq_2(k13_aescip_1(A, B, C, D), k4_finseq_2(8, k5_margrel1), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) ) ).
fof(dt_k14_aescip_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  & v7_ordinal1(B))  =>  (v1_funct_1(k14_aescip_1(A, B)) &  (v1_funct_2(k14_aescip_1(A, B), k4_finseq_2(B, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(k3_xcmplx_0(4, k2_xcmplx_0(7, B)), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & m1_subset_1(k14_aescip_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(B, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(k3_xcmplx_0(4, k2_xcmplx_0(7, B)), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))))) ) ) ) ).
fof(dt_k15_aescip_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  & v7_ordinal1(B))  =>  (v1_funct_1(k15_aescip_1(A, B)) &  (v1_funct_2(k15_aescip_1(A, B), k4_finseq_2(B, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(k2_xcmplx_0(7, B), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))) & m1_subset_1(k15_aescip_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(B, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(k2_xcmplx_0(7, B), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))))))) ) ) ) ).
fof(dt_k16_aescip_1, axiom,  (! [A, B, C, D, E] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) &  (v3_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))))) ) )  &  (v7_ordinal1(C) &  (m1_subset_1(D, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & m1_subset_1(E, k4_finseq_2(C, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))) ) ) )  => m2_finseq_2(k16_aescip_1(A, B, C, D, E), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))) ) ).
fof(dt_k17_aescip_1, axiom,  (! [A, B, C, D, E] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) &  (v3_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))))) ) )  &  (v7_ordinal1(C) &  (m1_subset_1(D, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & m1_subset_1(E, k4_finseq_2(C, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))) ) ) )  => m2_finseq_2(k17_aescip_1(A, B, C, D, E), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))) ) ).
fof(dt_k18_aescip_1, axiom,  (! [A] :  (m1_subset_1(A, k4_finseq_2(128, k5_margrel1)) => m2_finseq_2(k18_aescip_1(A), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))) ) ).
fof(dt_k19_aescip_1, axiom,  (! [A] :  (m1_subset_1(A, k4_finseq_2(192, k5_margrel1)) => m2_finseq_2(k19_aescip_1(A), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(6, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))) ) ).
fof(dt_k20_aescip_1, axiom,  (! [A] :  (m1_subset_1(A, k4_finseq_2(256, k5_margrel1)) => m2_finseq_2(k20_aescip_1(A), k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)), k4_finseq_2(8, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))) ) ).
fof(dt_k21_aescip_1, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) &  (v3_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))))) ) )  &  (m1_subset_1(C, k4_finseq_2(128, k5_margrel1)) & m1_subset_1(D, k4_finseq_2(128, k5_margrel1))) ) )  => m2_finseq_2(k21_aescip_1(A, B, C, D), k5_margrel1, k4_finseq_2(128, k5_margrel1))) ) ).
fof(dt_k22_aescip_1, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) &  (v3_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))))) ) )  &  (m1_subset_1(C, k4_finseq_2(128, k5_margrel1)) & m1_subset_1(D, k4_finseq_2(128, k5_margrel1))) ) )  => m2_finseq_2(k22_aescip_1(A, B, C, D), k5_margrel1, k4_finseq_2(128, k5_margrel1))) ) ).
fof(dt_k23_aescip_1, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) &  (v3_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))))) ) )  &  (m1_subset_1(C, k4_finseq_2(128, k5_margrel1)) & m1_subset_1(D, k4_finseq_2(192, k5_margrel1))) ) )  => m2_finseq_2(k23_aescip_1(A, B, C, D), k5_margrel1, k4_finseq_2(128, k5_margrel1))) ) ).
fof(dt_k24_aescip_1, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) &  (v3_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))))) ) )  &  (m1_subset_1(C, k4_finseq_2(128, k5_margrel1)) & m1_subset_1(D, k4_finseq_2(192, k5_margrel1))) ) )  => m2_finseq_2(k24_aescip_1(A, B, C, D), k5_margrel1, k4_finseq_2(128, k5_margrel1))) ) ).
fof(dt_k25_aescip_1, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) &  (v3_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))))) ) )  &  (m1_subset_1(C, k4_finseq_2(128, k5_margrel1)) & m1_subset_1(D, k4_finseq_2(256, k5_margrel1))) ) )  => m2_finseq_2(k25_aescip_1(A, B, C, D), k5_margrel1, k4_finseq_2(128, k5_margrel1))) ) ).
fof(dt_k26_aescip_1, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) &  (v3_funct_2(A, k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8, k5_margrel1), k4_finseq_2(8, k5_margrel1))))) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) &  (v3_funct_2(B, k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))), k4_finseq_2(4, k4_finseq_2(4, k4_finseq_2(8, k5_margrel1))))))) ) )  &  (m1_subset_1(C, k4_finseq_2(128, k5_margrel1)) & m1_subset_1(D, k4_finseq_2(256, k5_margrel1))) ) )  => m2_finseq_2(k26_aescip_1(A, B, C, D), k5_margrel1, k4_finseq_2(128, k5_margrel1))) ) ).
fof(t16_aescip_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(A, k2_finseq_1(4)) &  (r2_tarski(B, k2_finseq_1(4)) &  (r2_tarski(C, k2_finseq_1(4)) & r2_tarski(D, k2_finseq_1(4))) ) )  =>  ( (A=C & B=D)  | k3_xboole_0(a_2_0_aescip_1(A, B), a_2_0_aescip_1(C, D))=k1_xboole_0) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_aescip_1, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) & v7_ordinal1(C))  =>  (r2_hidden(A, a_2_0_aescip_1(B, C)) <=>  (? [D] :  (v7_ordinal1(D) &  (A=D &  (r1_xxreal_0(k1_nat_1(k1_nat_1(1, k2_nat_1(k7_nat_d(B, 1), 8)), k2_nat_1(k7_nat_d(C, 1), 32)), D) & r1_xxreal_0(D, k1_nat_1(k1_nat_1(8, k2_nat_1(k7_nat_d(B, 1), 8)), k2_nat_1(k7_nat_d(C, 1), 32)))) ) ) ) ) ) ) ).
fof(rc1_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v1_aff_1(B, A)) ) ) ) ).
fof(d1_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_aff_1(A, B, C, D) <=> r2_analoaf(A, B, C, B, D)) ) ) ) ) ) ) ) ) ).
fof(t2_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_analoaf(A, B, C, C, B) & r2_analoaf(A, B, C, B, C)) ) ) ) ) ) ) ).
fof(t3_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_analoaf(A, B, C, D, D) & r2_analoaf(A, D, D, B, C)) ) ) ) ) ) ) ) ) ).
fof(t4_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_analoaf(A, B, C, D, E) =>  (r2_analoaf(A, B, C, E, D) &  (r2_analoaf(A, C, B, D, E) &  (r2_analoaf(A, C, B, E, D) &  (r2_analoaf(A, D, E, B, C) &  (r2_analoaf(A, D, E, C, B) &  (r2_analoaf(A, E, D, B, C) & r2_analoaf(A, E, D, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  ( ~ ( ( ~ ( (r2_analoaf(A, B, C, D, E) & r2_analoaf(A, B, C, F, G)) )  &  ( ~ ( (r2_analoaf(A, B, C, D, E) & r2_analoaf(A, F, G, B, C)) )  &  ( ~ ( (r2_analoaf(A, D, E, B, C) & r2_analoaf(A, F, G, B, C)) )  &  ~ ( (r2_analoaf(A, D, E, B, C) & r2_analoaf(A, B, C, F, G)) ) ) ) ) )  &  ~ (r2_analoaf(A, D, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_aff_1(A, B, C, D) =>  (r1_aff_1(A, B, D, C) &  (r1_aff_1(A, C, B, D) &  (r1_aff_1(A, C, D, B) &  (r1_aff_1(A, D, B, C) & r1_aff_1(A, D, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_aff_1(A, B, B, C) &  (r1_aff_1(A, B, C, C) & r1_aff_1(A, B, C, B)) ) ) ) ) ) ) ) ).
fof(t8_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r1_aff_1(A, B, C, D) &  (r1_aff_1(A, B, C, E) & r1_aff_1(A, B, C, F)) )  =>  (B=C | r1_aff_1(A, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_aff_1(A, B, C, D) & r2_analoaf(A, B, C, D, E))  =>  (B=C | r1_aff_1(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_aff_1(A, B, C, D) & r1_aff_1(A, B, C, E))  => r2_analoaf(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r1_aff_1(A, B, C, E) &  (r1_aff_1(A, B, C, D) & r1_aff_1(A, E, D, F)) )  =>  (E=D | r1_aff_1(A, B, C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  ~ ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_aff_1(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t13_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_aff_1(A, B, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t14_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_aff_1(A, E, C, D) & r2_analoaf(A, B, C, B, D))  =>  (r1_aff_1(A, E, B, C) | C=D) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (D=k1_aff_1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(E, D) <=> r1_aff_1(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(B, k2_aff_1(A, B, C)) & r2_tarski(C, k2_aff_1(A, B, C))) ) ) ) ) ) ) ).
fof(t16_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r2_tarski(D, k2_aff_1(A, B, C)) & r2_tarski(E, k2_aff_1(A, B, C)))  =>  (D=E | r1_tarski(k2_aff_1(A, D, E), k2_aff_1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r2_tarski(D, k2_aff_1(A, B, C)) & r2_tarski(E, k2_aff_1(A, B, C)))  =>  (B=C | r1_tarski(k2_aff_1(A, B, C), k2_aff_1(A, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_aff_1(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  ( ~ (C=D)  & B=k2_aff_1(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t18_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v1_aff_1(D, A) &  (v1_aff_1(E, A) &  (r2_tarski(B, D) &  (r2_tarski(C, D) &  (r2_tarski(B, E) &  (r2_tarski(C, E) &  ( ~ (B=C)  &  ~ (D=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v1_aff_1(B, A) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(C, B) &  (r2_tarski(D, B) &  ~ (C=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v1_aff_1(C, A) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (B=D)  & r2_tarski(D, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_aff_1(A, B, C, D) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) &  (v1_aff_1(E, A) &  (r2_tarski(B, E) &  (r2_tarski(C, E) & r2_tarski(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_aff_1(A, B, C, D) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  ( ~ (E=F)  &  (D=k2_aff_1(A, E, F) & r2_analoaf(A, B, C, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r3_aff_1(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (B=k2_aff_1(A, D, E) &  ( ~ (D=E)  & r2_aff_1(A, D, E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(D, k2_aff_1(A, B, C)) =>  (B=C |  (r2_tarski(E, k2_aff_1(A, B, C)) <=> r2_analoaf(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_aff_1(D, A) & r2_tarski(B, D))  =>  (r2_tarski(C, D) <=> r2_aff_1(A, B, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t24_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (D=k2_aff_1(A, B, C) =>  (B=C |  (v1_aff_1(D, A) &  (r2_tarski(B, D) &  (r2_tarski(C, D) &  ~ (B=C) ) ) ) ) )  &  ( (v1_aff_1(D, A) &  (r2_tarski(B, D) & r2_tarski(C, D)) )  =>  (B=C |  ( ~ (B=C)  & D=k2_aff_1(A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_aff_1(E, A) &  (r2_tarski(B, E) &  (r2_tarski(C, E) & r1_aff_1(A, B, C, D)) ) )  =>  (B=C | r2_tarski(D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & r2_aff_1(A, C, D, B)) ) ) )  => v1_aff_1(B, A)) ) ) ) ) ).
fof(t27_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r2_tarski(D, F) &  (r2_tarski(E, F) & v1_aff_1(F, A)) )  =>  (D=E |  (r2_aff_1(A, B, C, F) <=> r2_analoaf(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_aff_1(A, B, C, D) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( ( ~ (E=F)  &  (r2_tarski(E, D) &  (r2_tarski(F, D) & r2_analoaf(A, B, C, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (B=C)  => r2_aff_1(A, B, C, k2_aff_1(A, B, C))) ) ) ) ) ) ) ).
fof(t30_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_aff_1(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  =>  (r2_aff_1(A, B, C, D) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  ( ~ (E=F)  &  (r2_tarski(E, D) &  (r2_tarski(F, D) & r2_analoaf(A, B, C, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  ( (v1_aff_1(F, A) & m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))))  =>  ( (r2_aff_1(A, B, C, F) & r2_aff_1(A, D, E, F))  => r2_analoaf(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r2_aff_1(A, B, C, F) & r2_analoaf(A, B, C, D, E))  =>  (B=C | r2_aff_1(A, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_aff_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  => r2_aff_1(A, B, B, C)) ) ) ) ) ) ).
fof(t34_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_aff_1(A, B, C, D) => r2_aff_1(A, C, B, D)) ) ) ) ) ) ) ) ) ).
fof(t35_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_aff_1(A, B, C, D) &  ( ~ (r2_tarski(B, D))  & r2_tarski(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r3_aff_1(A, B, C) =>  (v1_aff_1(B, A) & v1_aff_1(C, A)) ) ) ) ) ) ) ) ).
fof(t37_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r3_aff_1(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  ( ~ (D=E)  &  ( ~ (F=G)  &  (r2_analoaf(A, D, E, F, G) &  (B=k2_aff_1(A, D, E) & C=k2_aff_1(A, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  ( (v1_aff_1(F, A) & m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [G] :  ( (v1_aff_1(G, A) & m1_subset_1(G, k1_zfmisc_1(u1_struct_0(A))))  =>  ( (r2_tarski(B, F) &  (r2_tarski(C, F) &  (r2_tarski(D, G) & r2_tarski(E, G)) ) )  =>  (B=C |  (D=E |  (r3_aff_1(A, F, G) <=> r2_analoaf(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r2_tarski(B, F) &  (r2_tarski(C, F) &  (r2_tarski(D, G) &  (r2_tarski(E, G) & r3_aff_1(A, F, G)) ) ) )  => r2_analoaf(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r2_tarski(B, D) &  (r2_tarski(C, D) & r3_aff_1(A, D, E)) )  => r2_aff_1(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  ( (v1_aff_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => r3_aff_1(A, B, B)) ) ) ) ).
fof(t42_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r3_aff_1(A, B, C) => r3_aff_1(A, C, B)) ) ) ) ) ) ) ).
fof(t43_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r2_aff_1(A, B, C, D) & r5_aff_1(A, D, E))  => r2_aff_1(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( ~ ( ( ~ ( (r5_aff_1(A, B, C) & r5_aff_1(A, C, D)) )  &  ( ~ ( (r5_aff_1(A, B, C) & r5_aff_1(A, D, C)) )  &  ( ~ ( (r5_aff_1(A, C, B) & r5_aff_1(A, C, D)) )  &  ~ ( (r5_aff_1(A, C, B) & r5_aff_1(A, D, C)) ) ) ) ) )  => r5_aff_1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t45_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r5_aff_1(A, C, D) &  (r2_tarski(B, C) & r2_tarski(B, D)) )  => C=D) ) ) ) ) ) ) ) ) ).
fof(t46_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_tarski(D, E) &  ( ~ (r2_tarski(B, E))  &  (r2_aff_1(A, B, C, E) &  ( ~ (B=C)  & r1_aff_1(A, D, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r2_aff_1(A, C, E, G) &  (r1_aff_1(A, F, B, C) &  (r1_aff_1(A, F, D, E) &  (r2_tarski(F, G) & B=D) ) ) )  =>  (r2_tarski(B, G) | C=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  ( (v1_aff_1(F, A) & m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))))  =>  ( (r2_tarski(B, F) &  (r2_tarski(C, F) &  (r2_tarski(D, F) & r2_analoaf(A, B, C, D, E)) ) )  =>  (B=C | r2_tarski(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_aff_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) &  (r2_tarski(B, D) & r5_aff_1(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t50_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r5_aff_1(A, C, D) &  (r5_aff_1(A, C, E) &  (r2_tarski(B, D) & r2_tarski(B, E)) ) )  => D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_aff_1(F, A) &  (r2_tarski(B, F) &  (r2_tarski(C, F) &  (r2_tarski(D, F) & r2_tarski(E, F)) ) ) )  => r2_analoaf(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_aff_1(D, A) &  (r2_tarski(B, D) & r2_tarski(C, D)) )  => r2_aff_1(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t53_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r2_aff_1(A, B, C, D) & r2_aff_1(A, B, C, E))  =>  (B=C | r5_aff_1(A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r1_aff_1(A, F, B, C) &  (r1_aff_1(A, F, D, E) & C=E) )  =>  (r1_aff_1(A, F, B, D) |  (C=F & E=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r1_aff_1(A, F, D, E) &  (r2_analoaf(A, B, D, C, E) & C=F) )  =>  (r1_aff_1(A, F, B, D) | E=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r1_aff_1(A, F, B, C) &  (r1_aff_1(A, F, D, E) &  (r1_aff_1(A, F, D, G) &  (r2_analoaf(A, B, D, C, E) & r2_analoaf(A, B, D, C, G)) ) ) )  =>  (r1_aff_1(A, F, B, D) | E=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_aff_1(D, A) &  (r2_tarski(B, D) & r2_tarski(C, D)) )  =>  (B=C | D=k2_aff_1(A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t58_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v1_aff_1(B, A) &  (v1_aff_1(C, A) &  ( ~ (r5_aff_1(A, B, C))  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(D, B) & r2_tarski(D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v1_aff_1(D, A) &  ( ~ (r2_aff_1(A, B, C, D))  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_tarski(E, D) & r1_aff_1(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_aff_1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (r2_analoaf(A, B, C, D, E))  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r1_aff_1(A, B, C, F) & r1_aff_1(A, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_aff_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k1_aff_1(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k2_aff_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k2_aff_1(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(commutativity_k2_aff_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k2_aff_1(A, B, C)=k2_aff_1(A, C, B)) ) ).
fof(redefinition_k2_aff_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k2_aff_1(A, B, C)=k1_aff_1(A, B, C)) ) ).
fof(reflexivity_r4_aff_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  &  ( (v1_aff_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  (v1_aff_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  => r4_aff_1(A, B, B)) ) ).
fof(redefinition_r4_aff_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  &  ( (v1_aff_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  (v1_aff_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (r4_aff_1(A, B, C) <=> r3_aff_1(A, B, C)) ) ) ).
fof(symmetry_r5_aff_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (r5_aff_1(A, B, C) => r5_aff_1(A, C, B)) ) ) ).
fof(redefinition_r5_aff_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (r5_aff_1(A, B, C) <=> r3_aff_1(A, B, C)) ) ) ).
fof(d1_aff_2, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v1_aff_2(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  ( (v1_aff_1(B, A) &  (v1_aff_1(C, A) &  (r2_hidden(D, B) &  (r2_hidden(E, B) &  (r2_hidden(F, B) &  (r2_hidden(G, C) &  (r2_hidden(H, C) &  (r2_hidden(I, C) &  (r2_analoaf(A, D, H, E, G) & r2_analoaf(A, E, I, F, H)) ) ) ) ) ) ) ) )  => r2_analoaf(A, D, I, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_aff_2, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (v2_aff_2(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  ( (v1_aff_1(B, A) &  (v1_aff_1(C, A) &  (r2_hidden(D, B) &  (r2_hidden(D, C) &  (r2_hidden(E, B) &  (r2_hidden(F, B) &  (r2_hidden(G, B) &  (r2_hidden(H, C) &  (r2_hidden(I, C) &  (r2_hidden(J, C) &  (r2_analoaf(A, E, I, F, H) & r2_analoaf(A, F, J, G, I)) ) ) ) ) ) ) ) ) ) )  =>  (B=C |  (D=E |  (D=H |  (D=F |  (D=I |  (D=G |  (D=J | r2_analoaf(A, E, J, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_aff_2, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v3_aff_2(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  ( (v1_aff_1(B, A) &  (v1_aff_1(C, A) &  (r2_hidden(D, B) &  (r2_hidden(D, C) &  (r2_hidden(E, B) &  (r2_hidden(F, B) &  (r2_hidden(G, B) &  (r2_hidden(I, C) &  (r2_hidden(J, C) &  (r2_analoaf(A, E, I, F, H) &  (r2_analoaf(A, F, J, G, I) & r2_analoaf(A, E, J, G, H)) ) ) ) ) ) ) ) ) ) )  =>  (B=C |  (D=E |  (D=H |  (D=F |  (D=I |  (D=G |  (D=J |  (F=G | r2_hidden(H, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_aff_2, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (v4_aff_2(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  ( (r2_hidden(E, B) &  (r2_hidden(E, C) &  (r2_hidden(E, D) &  (r2_hidden(F, B) &  (r2_hidden(I, B) &  (r2_hidden(G, C) &  (r2_hidden(J, C) &  (r2_hidden(H, D) &  (r2_hidden(K, D) &  (v1_aff_1(B, A) &  (v1_aff_1(C, A) &  (v1_aff_1(D, A) &  (r2_analoaf(A, F, G, I, J) & r2_analoaf(A, F, H, I, K)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (E=F |  (E=G |  (E=H |  (B=C |  (B=D | r2_analoaf(A, G, H, J, K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_aff_2, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v5_aff_2(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  ( (r2_hidden(E, B) &  (r2_hidden(E, C) &  (r2_hidden(F, B) &  (r2_hidden(I, B) &  (r2_hidden(G, C) &  (r2_hidden(J, C) &  (r2_hidden(H, D) &  (r2_hidden(K, D) &  (v1_aff_1(B, A) &  (v1_aff_1(C, A) &  (v1_aff_1(D, A) &  (r2_analoaf(A, F, G, I, J) &  (r2_analoaf(A, F, H, I, K) & r2_analoaf(A, G, H, J, K)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (E=F |  (E=G |  (E=H |  (B=C |  (B=D |  (r1_aff_1(A, F, G, H) |  (H=K | r2_hidden(E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_aff_2, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v6_aff_2(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  ( (r2_hidden(E, B) &  (r2_hidden(E, C) &  (r2_hidden(E, D) &  (r2_hidden(F, B) &  (r2_hidden(I, B) &  (r2_hidden(G, C) &  (r2_hidden(J, C) &  (r2_hidden(H, D) &  (v1_aff_1(B, A) &  (v1_aff_1(C, A) &  (v1_aff_1(D, A) &  (r2_analoaf(A, F, G, I, J) &  (r2_analoaf(A, F, H, I, K) & r2_analoaf(A, G, H, J, K)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (E=F |  (E=G |  (E=H |  (B=C |  (B=D | r2_hidden(K, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_aff_2, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (v7_aff_2(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  ( (v1_aff_1(B, A) &  (r2_hidden(C, B) &  (r2_hidden(F, B) &  (r2_hidden(I, B) &  (r1_aff_1(A, C, D, G) &  (r1_aff_1(A, C, E, H) &  (r2_analoaf(A, D, E, G, H) &  (r2_analoaf(A, D, F, G, I) & r2_aff_1(A, D, E, B)) ) ) ) ) ) ) )  =>  (r2_hidden(D, B) |  (C=F |  (D=E | r2_analoaf(A, E, F, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_aff_2, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v8_aff_2(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  ( (v1_aff_1(B, A) &  (r2_hidden(C, B) &  (r2_hidden(F, B) &  (r2_hidden(I, B) &  (r1_aff_1(A, C, D, G) &  (r2_analoaf(A, D, E, G, H) &  (r2_analoaf(A, E, F, H, I) &  (r2_analoaf(A, D, F, G, I) & r2_aff_1(A, D, E, B)) ) ) ) ) ) ) )  =>  (r2_hidden(D, B) |  (C=F |  (D=E | r1_aff_1(A, C, E, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_aff_2, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v9_aff_2(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  ( (v1_aff_1(B, A) &  (r2_hidden(C, B) &  (r2_hidden(F, B) &  (r2_hidden(I, B) &  (r1_aff_1(A, C, D, G) &  (r1_aff_1(A, C, E, H) &  (r2_analoaf(A, E, F, H, I) &  (r2_analoaf(A, D, F, G, I) & r2_aff_1(A, D, E, B)) ) ) ) ) ) ) )  =>  (r2_hidden(D, B) |  (C=F |  (D=E | r2_analoaf(A, D, E, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_aff_2, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v10_aff_2(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  ( (v1_aff_1(B, A) &  (r2_hidden(C, B) &  (r2_hidden(F, B) &  (r1_aff_1(A, C, D, G) &  (r1_aff_1(A, C, E, H) &  (r2_analoaf(A, D, E, G, H) &  (r2_analoaf(A, D, F, G, I) &  (r2_analoaf(A, E, F, H, I) & r2_aff_1(A, D, E, B)) ) ) ) ) ) ) )  =>  (r2_hidden(D, B) |  (C=F |  (D=E | r2_hidden(I, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_aff_2, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (v11_aff_2(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  ( (r5_aff_1(A, B, C) &  (r5_aff_1(A, B, D) &  (r2_hidden(E, B) &  (r2_hidden(H, B) &  (r2_hidden(F, C) &  (r2_hidden(I, C) &  (r2_hidden(G, D) &  (r2_hidden(J, D) &  (v1_aff_1(B, A) &  (v1_aff_1(C, A) &  (v1_aff_1(D, A) &  (r2_analoaf(A, E, F, H, I) & r2_analoaf(A, E, G, H, J)) ) ) ) ) ) ) ) ) ) ) )  =>  (B=C |  (B=D | r2_analoaf(A, F, G, I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_aff_2, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v12_aff_2(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  ( (r5_aff_1(A, B, C) &  (r2_hidden(E, B) &  (r2_hidden(H, B) &  (r2_hidden(F, C) &  (r2_hidden(I, C) &  (r2_hidden(G, D) &  (r2_hidden(J, D) &  (v1_aff_1(B, A) &  (v1_aff_1(C, A) &  (v1_aff_1(D, A) &  (r2_analoaf(A, E, F, H, I) &  (r2_analoaf(A, E, G, H, J) & r2_analoaf(A, F, G, I, J)) ) ) ) ) ) ) ) ) ) ) )  =>  (B=C |  (B=D |  (r1_aff_1(A, E, F, G) |  (G=J | r5_aff_1(A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_aff_2, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (v13_aff_2(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  ( (v1_aff_1(B, A) &  (v1_aff_1(C, A) &  (r2_hidden(D, B) &  (r2_hidden(E, B) &  (r2_hidden(F, B) &  (r5_aff_1(A, B, C) &  (r2_hidden(G, C) &  (r2_hidden(H, C) &  (r2_hidden(I, C) &  (r2_analoaf(A, D, H, E, G) & r2_analoaf(A, E, I, F, H)) ) ) ) ) ) ) ) ) )  =>  (B=C | r2_analoaf(A, D, I, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_aff_2, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v14_aff_2(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  ( (v1_aff_1(B, A) &  (v1_aff_1(C, A) &  (r2_hidden(D, B) &  (r2_hidden(E, B) &  (r2_hidden(F, B) &  (r5_aff_1(A, B, C) &  (r2_hidden(G, C) &  (r2_hidden(H, C) &  (r2_analoaf(A, D, H, E, G) &  (r2_analoaf(A, E, I, F, H) & r2_analoaf(A, D, I, F, G)) ) ) ) ) ) ) ) ) )  =>  (B=C |  (G=H | r2_hidden(I, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_aff_2, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v2_aff_2(A) <=> v3_aff_2(A)) ) ) ).
fof(t2_aff_2, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v4_aff_2(A) <=> v5_aff_2(A)) ) ) ).
fof(t3_aff_2, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v7_aff_2(A) => v8_aff_2(A)) ) ) ).
fof(t4_aff_2, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v8_aff_2(A) => v9_aff_2(A)) ) ) ).
fof(t5_aff_2, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v9_aff_2(A) => v10_aff_2(A)) ) ) ).
fof(t6_aff_2, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v10_aff_2(A) => v7_aff_2(A)) ) ) ).
fof(t7_aff_2, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v11_aff_2(A) <=> v12_aff_2(A)) ) ) ).
fof(t8_aff_2, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v13_aff_2(A) <=> v14_aff_2(A)) ) ) ).
fof(t9_aff_2, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v2_aff_2(A) => v13_aff_2(A)) ) ) ).
fof(t10_aff_2, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v1_aff_2(A) <=>  (v2_aff_2(A) & v13_aff_2(A)) ) ) ) ).
fof(t11_aff_2, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v2_aff_2(A) => v4_aff_2(A)) ) ) ).
fof(t12_aff_2, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v4_aff_2(A) => v7_aff_2(A)) ) ) ).
fof(t13_aff_2, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v8_aff_2(A) => v12_aff_2(A)) ) ) ).
fof(t14_aff_2, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v7_aff_2(A) => v11_aff_2(A)) ) ) ).
fof(t15_aff_2, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v11_aff_2(A) => v13_aff_2(A)) ) ) ).
fof(d1_aff_3, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v1_aff_3(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  (! [L] :  (m1_subset_1(L, u1_struct_0(A)) =>  (! [M] :  (m1_subset_1(M, u1_struct_0(A)) =>  ( (v1_aff_1(B, A) &  (v1_aff_1(C, A) &  (v1_aff_1(D, A) &  (r2_hidden(E, B) &  (r2_hidden(F, B) &  (r2_hidden(G, B) &  (r2_hidden(E, C) &  (r2_hidden(H, C) &  (r2_hidden(I, C) &  (r2_hidden(E, D) &  (r2_hidden(J, D) &  (r2_hidden(K, D) &  (r1_aff_1(A, H, F, L) &  (r1_aff_1(A, I, G, L) &  (r1_aff_1(A, H, J, M) &  (r1_aff_1(A, I, K, M) & r2_analoaf(A, F, J, G, K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (C=B |  (C=D |  (B=D |  (E=F |  (E=H |  (E=J |  (L=M |  (r1_aff_1(A, H, F, J) |  (r1_aff_1(A, I, G, K) |  (F=G | r2_analoaf(A, F, J, L, M)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_aff_3, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v2_aff_3(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  (! [L] :  (m1_subset_1(L, u1_struct_0(A)) =>  (! [M] :  (m1_subset_1(M, u1_struct_0(A)) =>  ( (v1_aff_1(B, A) &  (v1_aff_1(C, A) &  (v1_aff_1(D, A) &  (r2_hidden(E, B) &  (r2_hidden(F, B) &  (r2_hidden(G, B) &  (r2_hidden(E, C) &  (r2_hidden(H, C) &  (r2_hidden(I, C) &  (r2_hidden(E, D) &  (r2_hidden(J, D) &  (r2_hidden(K, D) &  (r1_aff_1(A, H, F, L) &  (r1_aff_1(A, I, G, L) &  (r1_aff_1(A, H, J, M) &  (r1_aff_1(A, I, K, M) & r2_analoaf(A, F, J, L, M)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (C=B |  (C=D |  (B=D |  (E=F |  (E=H |  (E=J |  (L=M |  (J=M |  (r1_aff_1(A, H, F, J) |  (r1_aff_1(A, I, G, K) | r2_analoaf(A, F, J, G, K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_aff_3, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v3_aff_3(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  (! [L] :  (m1_subset_1(L, u1_struct_0(A)) =>  (! [M] :  (m1_subset_1(M, u1_struct_0(A)) =>  ( (v1_aff_1(B, A) &  (v1_aff_1(C, A) &  (v1_aff_1(D, A) &  (r2_hidden(E, B) &  (r2_hidden(F, B) &  (r2_hidden(G, B) &  (r2_hidden(E, C) &  (r2_hidden(H, C) &  (r2_hidden(I, C) &  (r2_hidden(J, D) &  (r2_hidden(K, D) &  (r1_aff_1(A, H, F, L) &  (r1_aff_1(A, I, G, L) &  (r1_aff_1(A, H, J, M) &  (r1_aff_1(A, I, K, M) &  (r2_analoaf(A, F, J, G, K) & r2_analoaf(A, F, J, L, M)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (C=B |  (C=D |  (B=D |  (E=F |  (E=H |  (E=J |  (L=M |  (r1_aff_1(A, H, F, J) |  (r1_aff_1(A, I, G, K) |  (J=K | r2_hidden(E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_aff_3, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v4_aff_3(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  (! [L] :  (m1_subset_1(L, u1_struct_0(A)) =>  (! [M] :  (m1_subset_1(M, u1_struct_0(A)) =>  ( (v1_aff_1(B, A) &  (v1_aff_1(C, A) &  (v1_aff_1(D, A) &  (r2_hidden(E, B) &  (r2_hidden(F, B) &  (r2_hidden(G, B) &  (r2_hidden(H, C) &  (r2_hidden(I, C) &  (r2_hidden(E, D) &  (r2_hidden(J, D) &  (r2_hidden(K, D) &  (r1_aff_1(A, H, F, L) &  (r1_aff_1(A, I, G, L) &  (r1_aff_1(A, H, J, M) &  (r1_aff_1(A, I, K, M) &  (r2_analoaf(A, F, J, G, K) & r2_analoaf(A, F, J, L, M)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (C=B |  (C=D |  (B=D |  (E=F |  (E=H |  (E=J |  (L=M |  (r1_aff_1(A, H, F, J) |  (r1_aff_1(A, I, G, K) |  (H=I |  (F=G | r2_hidden(E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_aff_3, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v5_aff_3(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  (! [L] :  (m1_subset_1(L, u1_struct_0(A)) =>  ( (v1_aff_1(B, A) &  (v1_aff_1(C, A) &  (v1_aff_1(D, A) &  (r2_hidden(E, B) &  (r2_hidden(F, B) &  (r2_hidden(G, C) &  (r2_hidden(H, C) &  (r2_hidden(I, D) &  (r2_hidden(J, D) &  (r5_aff_1(A, B, C) &  (r5_aff_1(A, B, D) &  (r1_aff_1(A, G, E, K) &  (r1_aff_1(A, H, F, K) &  (r1_aff_1(A, G, I, L) &  (r1_aff_1(A, H, J, L) & r2_analoaf(A, E, I, F, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (B=C |  (B=D |  (C=D |  (r1_aff_1(A, G, E, I) |  (r1_aff_1(A, H, F, J) |  (K=L |  (E=F | r2_analoaf(A, E, I, K, L)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_aff_3, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v6_aff_3(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  (! [L] :  (m1_subset_1(L, u1_struct_0(A)) =>  ( (v1_aff_1(B, A) &  (v1_aff_1(C, A) &  (v1_aff_1(D, A) &  (r2_hidden(E, B) &  (r2_hidden(F, B) &  (r2_hidden(G, C) &  (r2_hidden(H, C) &  (r2_hidden(I, D) &  (r2_hidden(J, D) &  (r5_aff_1(A, B, C) &  (r5_aff_1(A, B, D) &  (r1_aff_1(A, G, E, K) &  (r1_aff_1(A, H, F, K) &  (r1_aff_1(A, G, I, L) &  (r1_aff_1(A, H, J, L) & r2_analoaf(A, E, I, K, L)) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (B=C |  (B=D |  (C=D |  (r1_aff_1(A, G, E, I) |  (r1_aff_1(A, H, F, J) |  (K=L | r2_analoaf(A, E, I, F, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_aff_3, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v7_aff_3(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  (! [L] :  (m1_subset_1(L, u1_struct_0(A)) =>  ( (v1_aff_1(B, A) &  (v1_aff_1(C, A) &  (v1_aff_1(D, A) &  (r2_hidden(E, B) &  (r2_hidden(F, B) &  (r2_hidden(G, C) &  (r2_hidden(H, C) &  (r2_hidden(I, D) &  (r2_hidden(J, D) &  (r5_aff_1(A, B, D) &  (r1_aff_1(A, G, E, K) &  (r1_aff_1(A, H, F, K) &  (r1_aff_1(A, G, I, L) &  (r1_aff_1(A, H, J, L) &  (r2_analoaf(A, E, I, F, J) & r2_analoaf(A, E, I, K, L)) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (B=C |  (B=D |  (C=D |  (r1_aff_1(A, G, E, I) |  (r1_aff_1(A, H, F, J) |  (K=L |  (E=F | r5_aff_1(A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_aff_3, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v8_aff_3(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  (! [L] :  (m1_subset_1(L, u1_struct_0(A)) =>  ( (v1_aff_1(B, A) &  (v1_aff_1(C, A) &  (v1_aff_1(D, A) &  (r2_hidden(E, B) &  (r2_hidden(F, B) &  (r2_hidden(G, C) &  (r2_hidden(H, C) &  (r2_hidden(I, D) &  (r2_hidden(J, D) &  (r5_aff_1(A, B, C) &  (r1_aff_1(A, G, E, K) &  (r1_aff_1(A, H, F, K) &  (r1_aff_1(A, G, I, L) &  (r1_aff_1(A, H, J, L) &  (r2_analoaf(A, E, I, F, J) & r2_analoaf(A, E, I, K, L)) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (B=C |  (B=D |  (C=D |  (r1_aff_1(A, G, E, I) |  (r1_aff_1(A, H, F, J) |  (K=L |  (I=J | r5_aff_1(A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_aff_3, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v1_aff_3(A) => v2_aff_3(A)) ) ) ).
fof(t2_aff_3, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v2_aff_3(A) => v1_aff_3(A)) ) ) ).
fof(t3_aff_3, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v4_aff_2(A) => v1_aff_3(A)) ) ) ).
fof(t4_aff_3, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v4_aff_2(A) => v3_aff_3(A)) ) ) ).
fof(t5_aff_3, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v3_aff_3(A) => v4_aff_3(A)) ) ) ).
fof(t6_aff_3, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v3_aff_3(A) => v4_aff_2(A)) ) ) ).
fof(t7_aff_3, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v6_aff_3(A) => v5_aff_3(A)) ) ) ).
fof(t8_aff_3, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v6_aff_3(A) <=> v8_aff_3(A)) ) ) ).
fof(t9_aff_3, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v5_aff_3(A) <=> v7_aff_3(A)) ) ) ).
fof(t10_aff_3, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v4_aff_3(A) => v6_aff_3(A)) ) ) ).
fof(t1_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( (r1_aff_1(A, E, B, D) | r1_aff_1(A, E, D, B))  &  ( ~ (E=B)  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r1_aff_1(A, E, C, F) & r2_analoaf(A, B, C, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(B, D) =>  ( ( ~ (r2_aff_1(A, B, C, D))  &  ~ (r2_aff_1(A, C, B, D)) )  | r2_tarski(C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t3_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  (r5_aff_1(A, D, E) =>  ( ( ~ (r2_aff_1(A, B, C, D))  &  ~ (r2_aff_1(A, C, B, D)) )  |  (r2_aff_1(A, B, C, E) & r2_aff_1(A, C, B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( (r2_aff_1(A, B, C, F) | r2_aff_1(A, C, B, F))  &  ( (r2_analoaf(A, B, C, D, E) | r2_analoaf(A, D, E, B, C))  &  ( ~ (B=C)  &  ~ ( (r2_aff_1(A, D, E, F) & r2_aff_1(A, E, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( (r2_aff_1(A, B, C, D) | r2_aff_1(A, C, B, D))  &  ( (r2_aff_1(A, B, C, E) | r2_aff_1(A, C, B, E))  &  ( ~ (B=C)  &  ~ (r5_aff_1(A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( (r2_aff_1(A, B, C, F) | r2_aff_1(A, C, B, F))  &  ( (r2_aff_1(A, D, E, F) | r2_aff_1(A, E, D, F))  &  ~ (r2_analoaf(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r2_tarski(B, F) &  (r2_tarski(C, F) & r2_tarski(D, G)) )  =>  ( ( ~ (r5_aff_1(A, F, G))  &  ~ (r5_aff_1(A, G, F)) )  |  (B=C |  ( ( ~ (r2_analoaf(A, B, C, D, E))  &  ~ (r2_analoaf(A, D, E, B, C)) )  | r2_tarski(E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(A))) =>  (! [H] :  (m1_subset_1(H, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r2_tarski(F, G) &  (r2_tarski(F, H) &  (r2_tarski(B, G) &  (r2_tarski(C, H) &  (r2_tarski(E, H) &  (v1_aff_1(G, A) &  (v1_aff_1(H, A) & F=D) ) ) ) ) ) )  =>  (F=B |  (F=C |  (G=H |  ( ( ~ (r2_analoaf(A, B, C, D, E))  &  ~ (r2_analoaf(A, C, B, E, D)) )  | F=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(A))) =>  (! [H] :  (m1_subset_1(H, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r2_tarski(F, G) &  (r2_tarski(F, H) &  (r2_tarski(B, G) &  (r2_tarski(D, G) &  (r2_tarski(C, H) &  (r2_tarski(E, H) &  (v1_aff_1(G, A) &  (v1_aff_1(H, A) & B=D) ) ) ) ) ) ) )  =>  (F=B |  (F=C |  (G=H |  ( ( ~ (r2_analoaf(A, B, C, D, E))  &  ~ (r2_analoaf(A, C, B, E, D)) )  | C=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r2_tarski(B, F) &  (r2_tarski(C, G) &  (r2_tarski(E, G) & B=D) ) )  =>  ( ( ~ (r5_aff_1(A, F, G))  &  ~ (r5_aff_1(A, G, F)) )  |  (F=G |  ( ( ~ (r2_analoaf(A, B, C, D, E))  &  ~ (r2_analoaf(A, C, B, E, D)) )  | C=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) &  (r2_tarski(B, D) &  (r2_tarski(C, D) & v1_aff_1(D, A)) ) ) ) ) ) ) ) ) ) ).
fof(t12_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v1_aff_1(B, A) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_tarski(C, B)) ) ) ) ) ) ) ) ).
fof(d2_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_aff_4(B, A) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) &  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) &  (v1_aff_1(C, A) &  (v1_aff_1(D, A) &  ( ~ (r5_aff_1(A, C, D))  & B=k1_aff_4(A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( ~ (v1_aff_1(B, A))  => k1_aff_4(A, B, C)=k1_xboole_0) ) ) ) ) ) ) ).
fof(t14_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_aff_1(B, A) => r1_tarski(C, k1_aff_4(A, B, C))) ) ) ) ) ) ) ).
fof(t15_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r5_aff_1(A, B, C) => k1_aff_4(A, B, C)=C) ) ) ) ) ) ) ).
fof(t16_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r5_aff_1(A, B, C) => k1_aff_4(A, B, D)=k1_aff_4(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t17_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(A))) =>  (! [H] :  (m1_subset_1(H, k1_zfmisc_1(u1_struct_0(A))) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(A))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_tarski(F, G) &  (r2_tarski(B, G) &  (r2_tarski(C, G) &  (r2_tarski(F, H) &  (r2_tarski(D, H) &  (r2_tarski(E, H) &  ( ~ (r2_tarski(F, I))  &  ( ~ (r2_tarski(F, J))  &  ( ~ (G=H)  &  (r2_tarski(B, I) &  (r2_tarski(D, I) &  (r2_tarski(C, J) &  (r2_tarski(E, J) &  (v1_aff_1(G, A) &  (v1_aff_1(H, A) &  (v1_aff_1(I, A) &  (v1_aff_1(J, A) &  ( ~ (r5_aff_1(A, I, J))  &  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  ~ ( (r2_tarski(K, I) & r2_tarski(K, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(A))) =>  (! [H] :  (m1_subset_1(H, k1_zfmisc_1(u1_struct_0(A))) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_tarski(B, F) &  (r2_tarski(C, F) &  (r2_tarski(D, G) &  (r2_tarski(E, G) &  (r2_tarski(B, H) &  (r2_tarski(D, H) &  (r2_tarski(C, I) &  (r2_tarski(E, I) &  ( ~ (F=G)  &  (r5_aff_1(A, F, G) &  (v1_aff_1(H, A) &  (v1_aff_1(I, A) &  ( ~ (r5_aff_1(A, H, I))  &  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  ~ ( (r2_tarski(J, H) & r2_tarski(J, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_aff_4(D, A) &  (r2_tarski(B, D) & r2_tarski(C, D)) )  =>  (B=C | r1_tarski(k2_aff_1(A, B, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(t20_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_aff_1(B, A) &  (v1_aff_1(C, A) &  (v1_aff_1(D, A) & r1_tarski(D, k1_aff_4(A, B, C))) ) )  =>  (r5_aff_1(A, B, D) | k1_aff_4(A, B, D)=k1_aff_4(A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t21_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v1_aff_1(B, A) &  (v1_aff_1(C, A) &  (v1_aff_1(D, A) &  (r1_tarski(D, k1_aff_4(A, B, C)) &  ( ~ (r5_aff_1(A, C, D))  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_tarski(E, C) & r2_tarski(E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v1_aff_4(D, A) &  (v1_aff_1(B, A) &  (v1_aff_1(C, A) &  (r1_tarski(B, D) &  (r1_tarski(C, D) &  ( ~ (r5_aff_1(A, B, C))  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_tarski(E, B) & r2_tarski(E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_aff_4(E, A) &  (r2_tarski(B, E) &  (r1_tarski(C, E) & r2_tarski(B, D)) ) )  =>  ( ( ~ (r5_aff_1(A, C, D))  &  ~ (r5_aff_1(A, D, C)) )  | r1_tarski(D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_aff_4(D, A) &  (v1_aff_4(E, A) &  (r2_tarski(B, D) &  (r2_tarski(C, D) &  (r2_tarski(B, E) & r2_tarski(C, E)) ) ) ) )  =>  (D=E |  (B=C | v1_aff_1(k9_subset_1(u1_struct_0(A), D, E), A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_aff_4(E, A) &  (v1_aff_4(F, A) &  (r2_tarski(B, E) &  (r2_tarski(C, E) &  (r2_tarski(D, E) &  (r2_tarski(B, F) &  (r2_tarski(C, F) & r2_tarski(D, F)) ) ) ) ) ) )  =>  (r1_aff_1(A, B, C, D) | E=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_aff_4(D, A) &  (v1_aff_4(E, A) &  (v1_aff_1(B, A) &  (v1_aff_1(C, A) &  (r1_tarski(B, D) &  (r1_tarski(C, D) &  (r1_tarski(B, E) & r1_tarski(C, E)) ) ) ) ) ) )  =>  (B=C | D=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_aff_1(C, A) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (D=k2_aff_4(A, B, C) <=>  (r2_tarski(B, D) & r5_aff_1(A, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_aff_1(C, A) => v1_aff_1(k2_aff_4(A, B, C), A)) ) ) ) ) ) ) ).
fof(t28_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_aff_4(D, A) &  (v1_aff_1(C, A) &  (r2_tarski(B, D) & r1_tarski(C, D)) ) )  => r1_tarski(k2_aff_4(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t29_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_aff_4(F, A) &  (r2_tarski(B, F) &  (r2_tarski(C, F) &  (r2_tarski(D, F) & r2_analoaf(A, B, C, D, E)) ) ) )  =>  (B=C | r2_tarski(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_aff_1(C, A) =>  (r2_tarski(B, C) <=> k2_aff_4(A, B, C)=C) ) ) ) ) ) ) ) ).
fof(t31_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_aff_1(D, A) => k2_aff_4(A, B, D)=k2_aff_4(A, B, k2_aff_4(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t32_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r5_aff_1(A, C, D) => k2_aff_4(A, B, C)=k2_aff_4(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d4_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_aff_4(A, B, C) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r2_tarski(D, C) &  (v1_aff_1(E, A) & r1_tarski(E, B)) )  => r1_tarski(k2_aff_4(A, D, E), C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(B, C) =>  ( ( ~ ( (v1_aff_1(B, A) & v1_aff_1(C, A)) )  &  ~ ( (v1_aff_4(B, A) & v1_aff_4(C, A)) ) )  | B=C) ) ) ) ) ) ) ) ).
fof(t34_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v1_aff_4(B, A) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_tarski(C, B) &  (r2_tarski(D, B) &  (r2_tarski(E, B) &  ~ (r1_aff_1(A, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v1_aff_1(B, A) &  (v1_aff_4(C, A) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(D, C) &  ~ (r2_tarski(D, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v1_aff_1(C, A) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_tarski(B, D) &  (r1_tarski(C, D) & v1_aff_4(D, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) &  (r2_tarski(B, E) &  (r2_tarski(C, E) &  (r2_tarski(D, E) & v1_aff_4(E, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_tarski(B, C) &  (r2_tarski(B, D) &  (v1_aff_1(C, A) &  (v1_aff_1(D, A) &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r1_tarski(C, E) &  (r1_tarski(D, E) & v1_aff_4(E, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r5_aff_1(A, B, C) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r1_tarski(B, D) &  (r1_tarski(C, D) & v1_aff_4(D, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_aff_1(B, A) & v1_aff_1(C, A))  =>  (r5_aff_1(A, B, C) <=> r1_aff_4(A, B, C)) ) ) ) ) ) ) ) ).
fof(t41_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_aff_1(B, A) & v1_aff_4(C, A))  =>  (r1_aff_4(A, B, C) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) &  (r1_tarski(D, C) &  (r5_aff_1(A, B, D) | r5_aff_1(A, D, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_aff_1(B, A) &  (v1_aff_4(C, A) & r1_tarski(B, C)) )  => r1_aff_4(A, B, C)) ) ) ) ) ) ) ).
fof(t43_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_aff_1(C, A) &  (v1_aff_4(D, A) &  (r2_tarski(B, C) &  (r2_tarski(B, D) & r1_aff_4(A, C, D)) ) ) )  => r1_tarski(C, D)) ) ) ) ) ) ) ) ) ).
fof(d5_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_aff_4(A, B, C, D) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) &  (r1_tarski(B, E) &  (r1_tarski(C, E) &  (r1_tarski(D, E) & v1_aff_4(E, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_aff_4(A, B, C, D) =>  (r2_aff_4(A, B, D, C) &  (r2_aff_4(A, C, B, D) &  (r2_aff_4(A, C, D, B) &  (r2_aff_4(A, D, B, C) & r2_aff_4(A, D, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_aff_1(D, A) &  (v1_aff_1(E, A) &  (r2_aff_4(A, D, E, C) & r2_aff_4(A, D, E, B)) ) )  =>  (D=E | r2_aff_4(A, D, C, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_aff_1(C, A) &  (v1_aff_1(D, A) &  (v1_aff_4(E, A) &  (r1_tarski(C, E) & r1_tarski(D, E)) ) ) )  =>  (C=D |  (r2_aff_4(A, C, D, B) <=> r1_tarski(B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r2_tarski(B, C) &  (r2_tarski(B, D) &  (v1_aff_1(C, A) & v1_aff_1(D, A)) ) )  =>  (r2_aff_4(A, C, D, D) &  (r2_aff_4(A, D, C, D) & r2_aff_4(A, D, D, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( ~ ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) ) )  &  (v1_aff_4(B, A) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_tarski(C, B)) ) ) ) ) ) ) ) ) ).
fof(t49_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(A))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(A))) =>  (! [K] :  (m1_subset_1(K, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r2_tarski(H, I) &  (r2_tarski(H, K) &  (r2_tarski(H, J) &  (r2_tarski(B, I) &  (r2_tarski(E, I) &  (r2_tarski(C, K) &  (r2_tarski(F, K) &  (r2_tarski(D, J) &  (r2_tarski(G, J) &  (v1_aff_1(I, A) &  (v1_aff_1(K, A) &  (v1_aff_1(J, A) &  (r2_analoaf(A, B, C, E, F) & r2_analoaf(A, B, D, E, G)) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  |  (H=B |  (H=C |  (H=D |  (I=K |  (I=J | r2_analoaf(A, C, D, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  ( ~ ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) ) )  => v4_aff_2(A)) ) ) ).
fof(t51_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, k1_zfmisc_1(u1_struct_0(A))) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(A))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r5_aff_1(A, H, J) &  (r5_aff_1(A, H, I) &  (r2_tarski(B, H) &  (r2_tarski(E, H) &  (r2_tarski(C, J) &  (r2_tarski(F, J) &  (r2_tarski(D, I) &  (r2_tarski(G, I) &  (v1_aff_1(H, A) &  (v1_aff_1(J, A) &  (v1_aff_1(I, A) &  (r2_analoaf(A, B, C, E, F) & r2_analoaf(A, B, D, E, G)) ) ) ) ) ) ) ) ) ) ) )  =>  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  |  (H=J |  (H=I | r2_analoaf(A, C, D, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  ( ~ ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) ) )  => v11_aff_2(A)) ) ) ).
fof(t53_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  &  ( ~ (r1_aff_1(A, B, C, D))  &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( (r2_analoaf(A, B, D, E, G) & r2_analoaf(A, C, D, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( ( ~ (r1_aff_1(A, B, C, D))  &  ( ~ (E=F)  &  (r2_analoaf(A, B, C, E, F) &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( (r2_analoaf(A, B, D, E, G) & r2_analoaf(A, C, D, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_aff_4(B, A) & v1_aff_4(C, A))  =>  (r1_aff_4(A, B, C) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) &  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) &  (? [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))) &  (? [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (r5_aff_1(A, D, E))  &  (r1_tarski(D, B) &  (r1_tarski(E, B) &  (r1_tarski(F, C) &  (r1_tarski(G, C) &  ( (r5_aff_1(A, D, F) | r5_aff_1(A, F, D))  &  (r5_aff_1(A, E, G) | r5_aff_1(A, G, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r5_aff_1(A, B, C) & r1_aff_4(A, C, D))  => r1_aff_4(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t57_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_aff_4(B, A) => r1_aff_4(A, B, B)) ) ) ) ) ).
fof(t58_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_aff_4(B, A) &  (v1_aff_4(C, A) & r1_aff_4(A, B, C)) )  => r1_aff_4(A, C, B)) ) ) ) ) ) ) ).
fof(t59_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v1_aff_4(B, A) & B=k1_xboole_0) ) ) ) ) ) ).
fof(t60_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r1_aff_4(A, B, C) & r1_aff_4(A, C, D))  =>  (C=k1_xboole_0 | r1_aff_4(A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t61_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_aff_4(B, A) &  (v1_aff_4(C, A) & v1_aff_4(D, A)) )  =>  ( ( ~ ( (r1_aff_4(A, B, C) & r1_aff_4(A, C, D)) )  &  ( ~ ( (r1_aff_4(A, B, C) & r1_aff_4(A, D, C)) )  &  ( ~ ( (r1_aff_4(A, C, B) & r1_aff_4(A, C, D)) )  &  ~ ( (r1_aff_4(A, C, B) & r1_aff_4(A, D, C)) ) ) ) )  | r1_aff_4(A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t62_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_aff_4(C, A) &  (v1_aff_4(D, A) &  (r2_tarski(B, C) &  (r2_tarski(B, D) & r1_aff_4(A, C, D)) ) ) )  => C=D) ) ) ) ) ) ) ) ) ).
fof(t63_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(A))) =>  (! [H] :  (m1_subset_1(H, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_aff_4(F, A) &  (v1_aff_4(G, A) &  (v1_aff_4(H, A) &  (r1_aff_4(A, F, G) &  (r2_tarski(B, k9_subset_1(u1_struct_0(A), F, H)) &  (r2_tarski(C, k9_subset_1(u1_struct_0(A), F, H)) &  (r2_tarski(D, k9_subset_1(u1_struct_0(A), G, H)) & r2_tarski(E, k9_subset_1(u1_struct_0(A), G, H))) ) ) ) ) ) )  =>  (F=G | r2_analoaf(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(A))) =>  (! [H] :  (m1_subset_1(H, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_aff_4(F, A) &  (v1_aff_4(G, A) &  (v1_aff_4(H, A) &  (r1_aff_4(A, F, G) &  (r2_tarski(B, k9_subset_1(u1_struct_0(A), F, H)) &  (r2_tarski(C, k9_subset_1(u1_struct_0(A), F, H)) &  (r2_tarski(D, k9_subset_1(u1_struct_0(A), G, H)) & r2_tarski(E, k9_subset_1(u1_struct_0(A), G, H))) ) ) ) ) ) )  =>  (F=G |  (B=C |  (D=E | r5_aff_1(A, k9_subset_1(u1_struct_0(A), F, H), k9_subset_1(u1_struct_0(A), G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v1_aff_4(C, A) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_tarski(B, D) &  (r1_aff_4(A, C, D) & v1_aff_4(D, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_aff_4(C, A) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (D=k3_aff_4(A, B, C) <=>  (r2_tarski(B, D) &  (r1_aff_4(A, C, D) & v1_aff_4(D, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_aff_4(C, A) =>  (r2_tarski(B, C) <=> k3_aff_4(A, B, C)=C) ) ) ) ) ) ) ) ).
fof(t67_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_aff_4(D, A) => k3_aff_4(A, B, D)=k3_aff_4(A, B, k3_aff_4(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t68_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_aff_1(C, A) &  (v1_aff_4(D, A) & r1_aff_4(A, C, D)) )  => r1_tarski(k2_aff_4(A, B, C), k3_aff_4(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t69_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_aff_4(C, A) &  (v1_aff_4(D, A) & r1_aff_4(A, C, D)) )  => k3_aff_4(A, B, C)=k3_aff_4(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(dt_k1_aff_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k1_aff_4(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k2_aff_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k2_aff_4(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k3_aff_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k3_aff_4(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(d1_aff_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k1_aff_4(A, B, C)=a_3_0_aff_4(A, B, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_aff_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v7_struct_0(B))  &  (v1_diraf(B) & l1_analoaf(B)) )  &  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (r2_hidden(A, a_3_0_aff_4(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E &  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (r2_aff_1(B, E, F, C) & r2_tarski(F, D)) ) ) ) ) ) ) ) ) ).
fof(fc1_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  => v7_ordinal1(k9_xtuple_0(A))) ) ).
fof(ie1_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  => k1_card_1(A)=k9_xtuple_0(A)) ) ).
fof(fc2_afinsq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  & v7_ordinal1(B))  =>  (v1_relat_1(k5_relat_1(A, B)) & v1_finset_1(k5_relat_1(A, B))) ) ) ).
fof(rc1_afinsq_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) ) ) ).
fof(cc1_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_xboole_0(A)) )  =>  (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) ) ) ) ).
fof(fc3_afinsq_1, axiom,  (! [A, B] :  (v7_ordinal1(A) =>  (v5_ordinal1(k2_funcop_1(k5_card_1(A), B)) & v1_finset_1(k2_funcop_1(k5_card_1(A), B))) ) ) ).
fof(rc2_afinsq_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_xboole_0(B) & v1_finset_1(B)) ) ) ) ) ) ) ).
fof(rc3_afinsq_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_finset_1(B)) ) ) ) ) ) ) ) ).
fof(fc4_afinsq_1, axiom,  (! [A] :  ~ (v1_xboole_0(k3_afinsq_1(A))) ) ).
fof(fc5_afinsq_1, axiom,  (! [A] :  (v1_relat_1(k4_afinsq_1(A)) &  (v5_relat_1(k4_afinsq_1(A), A) &  (v5_ordinal1(k4_afinsq_1(A)) &  (v1_funct_1(k4_afinsq_1(A)) &  (v1_xboole_0(k4_afinsq_1(A)) & v1_finset_1(k4_afinsq_1(A))) ) ) ) ) ) ).
fof(fc6_afinsq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  &  (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  =>  (v1_relat_1(k1_ordinal4(A, B)) &  (v5_ordinal1(k1_ordinal4(A, B)) &  (v1_funct_1(k1_ordinal4(A, B)) & v1_finset_1(k1_ordinal4(A, B))) ) ) ) ) ).
fof(rd1_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  => k1_ordinal4(A, k1_xboole_0)=A) ) ).
fof(rd2_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  => k1_ordinal4(k1_xboole_0, A)=A) ) ).
fof(fc7_afinsq_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  &  (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) )  =>  (v1_relat_1(k1_ordinal4(B, C)) &  (v5_relat_1(k1_ordinal4(B, C), A) &  (v5_ordinal1(k1_ordinal4(B, C)) & v1_funct_1(k1_ordinal4(B, C))) ) ) ) ) ).
fof(fc8_afinsq_1, axiom,  (! [A] :  (v1_relat_1(k3_afinsq_1(A)) & v1_funct_1(k3_afinsq_1(A))) ) ).
fof(fc9_afinsq_1, axiom,  (! [A] :  (v5_ordinal1(k3_afinsq_1(A)) & v1_finset_1(k3_afinsq_1(A))) ) ).
fof(fc10_afinsq_1, axiom,  (! [A, B] :  (v1_relat_1(k6_afinsq_1(A, B)) & v1_funct_1(k6_afinsq_1(A, B))) ) ).
fof(fc11_afinsq_1, axiom,  (! [A, B, C] :  (v1_relat_1(k7_afinsq_1(A, B, C)) & v1_funct_1(k7_afinsq_1(A, B, C))) ) ).
fof(fc12_afinsq_1, axiom,  (! [A, B] :  (v5_ordinal1(k6_afinsq_1(A, B)) & v1_finset_1(k6_afinsq_1(A, B))) ) ).
fof(fc13_afinsq_1, axiom,  (! [A, B, C] :  (v5_ordinal1(k7_afinsq_1(A, B, C)) & v1_finset_1(k7_afinsq_1(A, B, C))) ) ).
fof(rd3_afinsq_1, axiom,  (! [A] : k1_funct_1(k5_afinsq_1(A), k5_numbers)=A) ).
fof(rd4_afinsq_1, axiom,  (! [A, B] : k1_funct_1(k6_afinsq_1(A, B), k5_numbers)=A) ).
fof(rd5_afinsq_1, axiom,  (! [A, B] : k1_funct_1(k6_afinsq_1(A, B), 1)=B) ).
fof(rd6_afinsq_1, axiom,  (! [A, B, C] : k1_funct_1(k7_afinsq_1(A, B, C), k5_numbers)=A) ).
fof(rd7_afinsq_1, axiom,  (! [A, B, C] : k1_funct_1(k7_afinsq_1(A, B, C), 1)=B) ).
fof(rd8_afinsq_1, axiom,  (! [A, B, C] : k1_funct_1(k7_afinsq_1(A, B, C), 2)=C) ).
fof(fc14_afinsq_1, axiom,  (! [A] : v3_card_1(k3_afinsq_1(A), 1)) ).
fof(fc15_afinsq_1, axiom,  (! [A, B] : v3_card_1(k6_afinsq_1(A, B), 2)) ).
fof(fc16_afinsq_1, axiom,  (! [A, B, C] : v3_card_1(k7_afinsq_1(A, B, C), 3)) ).
fof(cc2_afinsq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) & v3_card_1(B, A)) ) ) )  =>  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) ) ) ) ) ).
fof(fc17_afinsq_1, axiom,  (! [A, B] :  (v7_ordinal1(A) =>  (v5_ordinal1(k2_funcop_1(A, B)) & v1_finset_1(k2_funcop_1(A, B))) ) ) ).
fof(rc4_afinsq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) & v3_card_1(B, A)) ) ) ) ) ) ) ).
fof(cc3_afinsq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) & v3_card_1(B, A)) ) ) ) )  =>  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_finset_1(B) & v3_card_1(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(fc18_afinsq_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => v5_relat_1(k3_afinsq_1(B), A)) ) ).
fof(fc19_afinsq_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => v5_relat_1(k6_afinsq_1(B, C), A)) ) ).
fof(fc20_afinsq_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (m1_subset_1(C, A) & m1_subset_1(D, A)) ) )  => v5_relat_1(k7_afinsq_1(B, C, D), A)) ) ).
fof(fc21_afinsq_1, axiom,  (! [A] :  ~ (v1_xboole_0(k8_afinsq_1(A))) ) ).
fof(fc22_afinsq_1, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (v1_relat_1(k1_funct_7(A, B, C)) &  (v5_ordinal1(k1_funct_7(A, B, C)) &  (v1_funct_1(k1_funct_7(A, B, C)) & v1_finset_1(k1_funct_7(A, B, C))) ) ) ) ) ).
fof(fc23_afinsq_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  &  (m1_subset_1(C, k4_ordinal1) & m1_subset_1(D, A)) ) )  =>  (v1_relat_1(k1_funct_7(B, C, D)) &  (v5_relat_1(k1_funct_7(B, C, D), A) & v1_funct_1(k1_funct_7(B, C, D))) ) ) ) ).
fof(cc4_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  =>  (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  (v5_ordinal1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v3_valued_0(A)) ) ) ) ) ) ) ).
fof(cc5_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_ordinal1) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  =>  (v1_relat_1(A) &  (v5_relat_1(A, k4_ordinal1) &  (v5_ordinal1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v4_valued_0(A)) ) ) ) ) ) ) ).
fof(cc6_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_xboole_0(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_afinsq_1(A)) ) ) ) ).
fof(cc7_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_afinsq_1(A)) ) ) ) ) ) ).
fof(cc8_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) ) ) ) ).
fof(cc9_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_afinsq_1(A)) ) ) )  =>  (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) ) ) ) ).
fof(fc24_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v1_afinsq_1(A)) ) ) ) )  =>  (v1_relat_1(k63_valued_1(A)) &  (v1_funct_1(k63_valued_1(A)) & v1_afinsq_1(k63_valued_1(A))) ) ) ) ).
fof(fc25_afinsq_1, axiom,  (! [A] : v4_funct_1(k8_afinsq_1(A))) ).
fof(cc10_afinsq_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k8_afinsq_1(A)) =>  (v5_ordinal1(B) & v1_finset_1(B)) ) ) ) ).
fof(fc26_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v1_afinsq_1(A)) ) ) ) )  =>  (v1_relat_1(k63_valued_1(A)) &  (v1_funct_1(k63_valued_1(A)) & v1_afinsq_1(k63_valued_1(A))) ) ) ) ).
fof(fc27_afinsq_1, axiom,  (! [A, B, C, D] :  (v1_relat_1(k16_afinsq_1(A, B, C, D)) & v1_funct_1(k16_afinsq_1(A, B, C, D))) ) ).
fof(fc28_afinsq_1, axiom,  (! [A, B, C, D] :  (v5_ordinal1(k16_afinsq_1(A, B, C, D)) & v1_finset_1(k16_afinsq_1(A, B, C, D))) ) ).
fof(rd9_afinsq_1, axiom,  (! [A, B, C, D] : k1_funct_1(k16_afinsq_1(A, B, C, D), k5_numbers)=A) ).
fof(rd10_afinsq_1, axiom,  (! [A, B, C, D] : k1_funct_1(k16_afinsq_1(A, B, C, D), 1)=B) ).
fof(rd11_afinsq_1, axiom,  (! [A, B, C, D] : k1_funct_1(k16_afinsq_1(A, B, C, D), 2)=C) ).
fof(rd12_afinsq_1, axiom,  (! [A, B, C, D] : k1_funct_1(k16_afinsq_1(A, B, C, D), 3)=D) ).
fof(t2_afinsq_1, axiom,  (! [A] :  (v7_ordinal1(A) => k2_xboole_0(k5_card_1(A), k1_tarski(A))=k5_card_1(k1_nat_1(A, 1))) ) ).
fof(t3_afinsq_1, axiom,  (! [A] :  (v7_ordinal1(A) => r1_tarski(k2_finseq_1(A), k5_card_1(k1_nat_1(A, 1)))) ) ).
fof(t4_afinsq_1, axiom,  (! [A] :  (v7_ordinal1(A) => k1_nat_1(A, 1)=k2_xboole_0(k1_tarski(k5_numbers), k2_finseq_1(A))) ) ).
fof(t5_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  ( (v1_finset_1(A) & v5_ordinal1(A))  <=>  (? [B] :  (v7_ordinal1(B) & k9_xtuple_0(A)=B) ) ) ) ) ).
fof(t6_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  ~ ( ( (? [B] :  (v7_ordinal1(B) & r1_tarski(k9_xtuple_0(A), B)) )  &  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  ~ (r1_tarski(A, B)) ) ) ) ) ) ) ).
fof(t7_afinsq_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  ~ ( (r2_hidden(A, B) &  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(C, k2_afinsq_1(B)) & A=k4_tarski(C, k1_funct_1(B, C))) ) ) ) ) ) ) ) ) ).
fof(t8_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  ( (k2_afinsq_1(A)=k2_afinsq_1(B) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k2_afinsq_1(A)) => k1_funct_1(A, C)=k1_funct_1(B, C)) ) ) )  => A=B) ) ) ) ) ).
fof(t9_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  ( (k1_afinsq_1(A)=k1_afinsq_1(B) &  (! [C] :  (v7_ordinal1(C) =>  ( ~ (r1_xxreal_0(k1_afinsq_1(A), C))  => k1_funct_1(A, C)=k1_funct_1(B, C)) ) ) )  => A=B) ) ) ) ) ).
fof(t10_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (r1_tarski(k10_xtuple_0(B), k9_xtuple_0(A)) =>  (v1_relat_1(k3_relat_1(B, A)) &  (v5_ordinal1(k3_relat_1(B, A)) &  (v1_funct_1(k3_relat_1(B, A)) & v1_finset_1(k3_relat_1(B, A))) ) ) ) ) ) ) ) ).
fof(t11_afinsq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  ( ~ (r1_xxreal_0(k1_afinsq_1(B), A))  => k2_afinsq_1(k5_relat_1(B, A))=A) ) ) ) ) ).
fof(t12_afinsq_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  =>  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) ) ) ) ).
fof(t14_afinsq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (? [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, B) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) )  & k1_afinsq_1(C)=A) ) ) ) ) ) ).
fof(t15_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (k1_afinsq_1(A)=k5_numbers <=> A=k1_xboole_0) ) ) ).
fof(t16_afinsq_1, axiom,  (! [A] :  (v1_relat_1(k1_xboole_0) &  (v5_relat_1(k1_xboole_0, A) &  (v5_ordinal1(k1_xboole_0) &  (v1_funct_1(k1_xboole_0) & v1_finset_1(k1_xboole_0)) ) ) ) ) ).
fof(d1_afinsq_1, axiom,  (! [A] : k3_afinsq_1(A)=k17_funcop_1(k5_numbers, A)) ).
fof(d2_afinsq_1, axiom,  (! [A] : k4_afinsq_1(A)=k1_xboole_0) ).
fof(d3_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) & v1_funct_1(C)) )  =>  (C=k1_ordinal4(A, B) <=>  (k9_xtuple_0(C)=k1_nat_1(k1_afinsq_1(A), k1_afinsq_1(B)) &  ( (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k2_afinsq_1(A)) => k1_funct_1(C, D)=k1_funct_1(A, D)) ) )  &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k2_afinsq_1(B)) => k1_funct_1(C, k2_xcmplx_0(k1_afinsq_1(A), D))=k1_funct_1(B, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  => k1_afinsq_1(k1_ordinal4(A, B))=k1_nat_1(k1_afinsq_1(A), k1_afinsq_1(B))) ) ) ) ).
fof(t18_afinsq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) )  =>  (r1_xxreal_0(k1_afinsq_1(B), A) =>  (r1_xxreal_0(k1_nat_1(k1_afinsq_1(B), k1_afinsq_1(C)), A) | k1_funct_1(k1_ordinal4(B, C), A)=k1_funct_1(C, k6_xcmplx_0(A, k1_afinsq_1(B)))) ) ) ) ) ) ) ) ).
fof(t19_afinsq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) )  =>  (r1_xxreal_0(k1_afinsq_1(B), A) =>  (r1_xxreal_0(k1_afinsq_1(k1_ordinal4(B, C)), A) | k1_funct_1(k1_ordinal4(B, C), A)=k1_funct_1(C, k6_xcmplx_0(A, k1_afinsq_1(B)))) ) ) ) ) ) ) ) ).
fof(t20_afinsq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) )  =>  ~ ( (r2_tarski(A, k2_afinsq_1(k1_ordinal4(B, C))) &  ( ~ (r2_tarski(A, k2_afinsq_1(B)))  &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(D, k2_afinsq_1(C)) & A=k2_xcmplx_0(k1_afinsq_1(B), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) & v1_funct_1(B)) )  => r1_ordinal1(k9_xtuple_0(A), k9_xtuple_0(k1_ordinal4(A, B)))) ) ) ) ).
fof(t22_afinsq_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) )  =>  ~ ( (r2_hidden(A, k2_afinsq_1(C)) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (D=A & r2_tarski(k2_xcmplx_0(k1_afinsq_1(B), D), k2_afinsq_1(k1_ordinal4(B, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_afinsq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) )  =>  (r2_tarski(A, k2_afinsq_1(C)) => r2_tarski(k2_xcmplx_0(k1_afinsq_1(B), A), k2_afinsq_1(k1_ordinal4(B, C)))) ) ) ) ) ) ) ).
fof(t24_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  => r1_tarski(k10_xtuple_0(A), k10_xtuple_0(k1_ordinal4(A, B)))) ) ) ) ).
fof(t25_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  => r1_tarski(k10_xtuple_0(B), k10_xtuple_0(k1_ordinal4(A, B)))) ) ) ) ).
fof(t26_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  => k10_xtuple_0(k1_ordinal4(A, B))=k2_xboole_0(k10_xtuple_0(A), k10_xtuple_0(B))) ) ) ) ).
fof(t27_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) )  => k1_ordinal4(k1_ordinal4(A, B), C)=k1_ordinal4(A, k1_ordinal4(B, C))) ) ) ) ) ) ).
fof(t28_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) )  =>  ( (k1_ordinal4(A, C)=k1_ordinal4(B, C) | k1_ordinal4(C, A)=k1_ordinal4(C, B))  => A=B) ) ) ) ) ) ) ).
fof(t30_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (k1_ordinal4(A, B)=k1_xboole_0 =>  (A=k1_xboole_0 & B=k1_xboole_0) ) ) ) ) ) ).
fof(d4_afinsq_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (B=k5_afinsq_1(A) <=>  (k9_xtuple_0(B)=1 & k1_funct_1(B, k5_numbers)=A) ) ) ) ) ).
fof(t31_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(k1_ordinal4(A, B)) &  (v5_relat_1(k1_ordinal4(A, B), C) &  (v5_ordinal1(k1_ordinal4(A, B)) &  (v1_funct_1(k1_ordinal4(A, B)) & v1_finset_1(k1_ordinal4(A, B))) ) ) )  =>  ( (v1_relat_1(A) &  (v5_relat_1(A, C) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  &  (v1_relat_1(B) &  (v5_relat_1(B, C) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_afinsq_1, axiom,  (! [A] :  (! [B] : k6_afinsq_1(A, B)=k1_ordinal4(k5_afinsq_1(A), k5_afinsq_1(B))) ) ).
fof(d6_afinsq_1, axiom,  (! [A] :  (! [B] :  (! [C] : k7_afinsq_1(A, B, C)=k1_ordinal4(k1_ordinal4(k5_afinsq_1(A), k5_afinsq_1(B)), k5_afinsq_1(C))) ) ) ).
fof(t32_afinsq_1, axiom,  (! [A] : k5_afinsq_1(A)=k1_tarski(k4_tarski(k5_numbers, A))) ).
fof(t33_afinsq_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (B=k5_afinsq_1(A) <=>  (k2_afinsq_1(B)=k5_card_1(1) & k10_xtuple_0(B)=k1_tarski(A)) ) ) ) ) ).
fof(t34_afinsq_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (B=k5_afinsq_1(A) <=>  (k1_afinsq_1(B)=1 & k1_funct_1(B, k5_numbers)=A) ) ) ) ) ).
fof(t35_afinsq_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  => k1_funct_1(k1_ordinal4(k5_afinsq_1(A), B), k5_numbers)=A) ) ) ).
fof(t36_afinsq_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  => k1_funct_1(k1_ordinal4(B, k5_afinsq_1(A)), k1_afinsq_1(B))=A) ) ) ).
fof(t37_afinsq_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (k7_afinsq_1(A, B, C)=k1_ordinal4(k5_afinsq_1(A), k6_afinsq_1(B, C)) & k7_afinsq_1(A, B, C)=k1_ordinal4(k6_afinsq_1(A, B), k5_afinsq_1(C))) ) ) ) ).
fof(t38_afinsq_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) )  =>  (C=k6_afinsq_1(A, B) <=>  (k1_afinsq_1(C)=2 &  (k1_funct_1(C, k5_numbers)=A & k1_funct_1(C, 1)=B) ) ) ) ) ) ) ).
fof(t39_afinsq_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) &  (v5_ordinal1(D) &  (v1_funct_1(D) & v1_finset_1(D)) ) )  =>  (D=k7_afinsq_1(A, B, C) <=>  (k1_afinsq_1(D)=3 &  (k1_funct_1(D, k5_numbers)=A &  (k1_funct_1(D, 1)=B & k1_funct_1(D, 2)=C) ) ) ) ) ) ) ) ) ).
fof(t40_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  ~ ( ( ~ (A=k1_xboole_0)  &  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (! [C] :  ~ (A=k1_ordinal4(B, k5_afinsq_1(C))) ) ) ) ) ) ) ) ).
fof(t41_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v5_ordinal1(D) &  (v1_funct_1(D) & v1_finset_1(D)) ) )  =>  ~ ( (k1_ordinal4(A, B)=k1_ordinal4(C, D) &  (r1_xxreal_0(k1_afinsq_1(A), k1_afinsq_1(C)) &  (! [E] :  ( (v1_relat_1(E) &  (v5_ordinal1(E) &  (v1_funct_1(E) & v1_finset_1(E)) ) )  =>  ~ (k1_ordinal4(A, E)=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_afinsq_1, axiom,  (! [A] :  (! [B] :  (B=k8_afinsq_1(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) ) ) ) ) ) ).
fof(t42_afinsq_1, axiom,  (! [A] :  (! [B] :  (r2_hidden(A, k8_afinsq_1(B)) <=>  (v1_relat_1(A) &  (v5_relat_1(A, B) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) ) ) ) ) ).
fof(t43_afinsq_1, axiom,  (! [A] : r2_tarski(k1_xboole_0, k8_afinsq_1(A))) ).
fof(t44_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (k1_afinsq_1(k1_funct_7(A, B, C))=k1_afinsq_1(A) &  ( ( ~ (r1_xxreal_0(k1_afinsq_1(A), B))  => k1_funct_1(k1_funct_7(A, B, C), B)=C)  &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( ~ (D=B)  => k1_funct_1(k1_funct_7(A, B, C), D)=k1_funct_1(A, D)) ) ) ) ) ) ) ) ) ) ).
fof(t45_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (A=k1_ordinal4(k1_ordinal4(k1_ordinal4(k5_afinsq_1(B), k5_afinsq_1(C)), k5_afinsq_1(D)), k5_afinsq_1(E)) =>  (k1_afinsq_1(A)=4 &  (k1_funct_1(A, k5_numbers)=B &  (k1_funct_1(A, 1)=C &  (k1_funct_1(A, 2)=D & k1_funct_1(A, 3)=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (A=k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k5_afinsq_1(B), k5_afinsq_1(C)), k5_afinsq_1(D)), k5_afinsq_1(E)), k5_afinsq_1(F)) =>  (k1_afinsq_1(A)=5 &  (k1_funct_1(A, k5_numbers)=B &  (k1_funct_1(A, 1)=C &  (k1_funct_1(A, 2)=D &  (k1_funct_1(A, 3)=E & k1_funct_1(A, 4)=F) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (A=k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k5_afinsq_1(B), k5_afinsq_1(C)), k5_afinsq_1(D)), k5_afinsq_1(E)), k5_afinsq_1(F)), k5_afinsq_1(G)) =>  (k1_afinsq_1(A)=6 &  (k1_funct_1(A, k5_numbers)=B &  (k1_funct_1(A, 1)=C &  (k1_funct_1(A, 2)=D &  (k1_funct_1(A, 3)=E &  (k1_funct_1(A, 4)=F & k1_funct_1(A, 5)=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (A=k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k5_afinsq_1(B), k5_afinsq_1(C)), k5_afinsq_1(D)), k5_afinsq_1(E)), k5_afinsq_1(F)), k5_afinsq_1(G)), k5_afinsq_1(H)) =>  (k1_afinsq_1(A)=7 &  (k1_funct_1(A, k5_numbers)=B &  (k1_funct_1(A, 1)=C &  (k1_funct_1(A, 2)=D &  (k1_funct_1(A, 3)=E &  (k1_funct_1(A, 4)=F &  (k1_funct_1(A, 5)=G & k1_funct_1(A, 6)=H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  (A=k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k5_afinsq_1(B), k5_afinsq_1(C)), k5_afinsq_1(D)), k5_afinsq_1(E)), k5_afinsq_1(F)), k5_afinsq_1(G)), k5_afinsq_1(H)), k5_afinsq_1(I)) =>  (k1_afinsq_1(A)=8 &  (k1_funct_1(A, k5_numbers)=B &  (k1_funct_1(A, 1)=C &  (k1_funct_1(A, 2)=D &  (k1_funct_1(A, 3)=E &  (k1_funct_1(A, 4)=F &  (k1_funct_1(A, 5)=G &  (k1_funct_1(A, 6)=H & k1_funct_1(A, 7)=I) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  (! [J] :  (A=k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k5_afinsq_1(B), k5_afinsq_1(C)), k5_afinsq_1(D)), k5_afinsq_1(E)), k5_afinsq_1(F)), k5_afinsq_1(G)), k5_afinsq_1(H)), k5_afinsq_1(I)), k5_afinsq_1(J)) =>  (k1_afinsq_1(A)=9 &  (k1_funct_1(A, k5_numbers)=B &  (k1_funct_1(A, 1)=C &  (k1_funct_1(A, 2)=D &  (k1_funct_1(A, 3)=E &  (k1_funct_1(A, 4)=F &  (k1_funct_1(A, 5)=G &  (k1_funct_1(A, 6)=H &  (k1_funct_1(A, 7)=I & k1_funct_1(A, 8)=J) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_afinsq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) )  =>  ( ~ (r1_xxreal_0(k1_afinsq_1(B), A))  => k1_funct_1(k1_ordinal4(B, C), A)=k1_funct_1(B, A)) ) ) ) ) ) ) ).
fof(t52_afinsq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (r1_xxreal_0(k1_afinsq_1(B), A) => k5_relat_1(B, A)=B) ) ) ) ) ).
fof(t53_afinsq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) )  =>  ( (r1_xxreal_0(B, k1_afinsq_1(C)) & r2_tarski(A, B))  =>  (k1_funct_1(k5_relat_1(C, B), A)=k1_funct_1(C, A) & r2_tarski(A, k2_afinsq_1(C))) ) ) ) ) ) ) ) ).
fof(t54_afinsq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (r1_xxreal_0(A, k1_afinsq_1(B)) => k1_afinsq_1(k5_relat_1(B, A))=A) ) ) ) ) ).
fof(t55_afinsq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  => r1_xxreal_0(k1_afinsq_1(k5_relat_1(B, A)), A)) ) ) ) ).
fof(t56_afinsq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (k1_afinsq_1(B)=k1_nat_1(A, 1) => B=k1_ordinal4(k5_relat_1(B, A), k5_afinsq_1(k1_funct_1(B, A)))) ) ) ) ) ).
fof(t57_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  => k5_relat_1(k1_ordinal4(A, B), k2_afinsq_1(A))=A) ) ) ) ).
fof(t58_afinsq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) )  =>  (r1_xxreal_0(A, k2_afinsq_1(B)) => k5_relat_1(k1_ordinal4(B, C), A)=k5_relat_1(B, A)) ) ) ) ) ) ) ).
fof(t59_afinsq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v5_ordinal1(D) &  (v1_funct_1(D) & v1_finset_1(D)) ) )  =>  (B=k2_xcmplx_0(k2_afinsq_1(C), A) => k5_relat_1(k1_ordinal4(C, D), B)=k1_ordinal4(C, k5_relat_1(D, A))) ) ) ) ) ) ) ) ) ).
fof(t60_afinsq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (? [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) )  & B=k1_ordinal4(k5_relat_1(B, A), C)) ) ) ) ) ) ).
fof(t61_afinsq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) )  =>  ~ ( (k1_afinsq_1(C)=k2_xcmplx_0(B, A) &  (! [D] :  ( (v1_relat_1(D) &  (v5_ordinal1(D) &  (v1_funct_1(D) & v1_finset_1(D)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v5_ordinal1(E) &  (v1_funct_1(E) & v1_finset_1(E)) ) )  =>  ~ ( (k1_afinsq_1(D)=B &  (k1_afinsq_1(E)=A & C=k1_ordinal4(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_afinsq_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v5_ordinal1(D) &  (v1_funct_1(D) & v1_finset_1(D)) ) )  =>  (k1_ordinal4(k5_afinsq_1(A), C)=k1_ordinal4(k5_afinsq_1(B), D) =>  (A=B & C=D) ) ) ) ) ) ) ) ).
fof(d8_afinsq_1, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) )  =>  (C=k9_afinsq_1(A, B) <=>  (k1_afinsq_1(C)=k3_finseq_1(B) &  (! [D] :  (v7_ordinal1(D) =>  ( ~ (r1_xxreal_0(k3_finseq_1(B), D))  => k1_funct_1(B, k1_nat_1(D, 1))=k1_funct_1(C, D)) ) ) ) ) ) ) ) ) ) ).
fof(d9_afinsq_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  =>  (! [C] :  (m2_finseq_1(C, A) =>  (C=k10_afinsq_1(A, B) <=>  (k3_finseq_1(C)=k1_afinsq_1(B) &  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, k1_afinsq_1(B)))  => k1_funct_1(B, k7_nat_d(D, 1))=k1_funct_1(C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t63_afinsq_1, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (r2_tarski(C, A) =>  (v1_relat_1(k7_funcop_1(B, C)) &  (v5_relat_1(k7_funcop_1(B, C), A) &  (v5_ordinal1(k7_funcop_1(B, C)) &  (v1_funct_1(k7_funcop_1(B, C)) & v1_finset_1(k7_funcop_1(B, C))) ) ) ) ) ) ) ) ) ).
fof(d10_afinsq_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_tarski(k4_ordinal1, A) =>  (r1_xxreal_0(C, k3_finseq_1(B)) |  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, A) &  (v5_ordinal1(D) &  (v1_funct_1(D) &  ( ~ (v1_xboole_0(D))  & v1_finset_1(D)) ) ) ) )  =>  (D=k11_afinsq_1(A, B, C) <=>  (k3_finseq_1(B)=k1_funct_1(D, k5_numbers) &  (k1_afinsq_1(D)=C &  ( (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, k3_finseq_1(B)))  => k1_funct_1(D, E)=k1_funct_1(B, E)) ) )  &  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k3_finseq_1(B)))  &  ( ~ (r1_xxreal_0(C, E))  &  ~ (k1_funct_1(D, E)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_afinsq_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  =>  ( (v7_ordinal1(k1_funct_1(B, k5_numbers)) & r2_tarski(k1_funct_1(B, k5_numbers), k1_afinsq_1(B)))  =>  (! [C] :  (m2_finseq_1(C, A) =>  (C=k12_afinsq_1(A, B) <=>  (! [D] :  (v7_ordinal1(D) =>  (D=k1_funct_1(B, k5_numbers) =>  (k3_finseq_1(C)=D &  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, D))  => k1_funct_1(C, E)=k1_funct_1(B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_afinsq_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  =>  (k1_funct_1(B, k5_numbers)=k5_numbers =>  (r1_xxreal_0(k1_afinsq_1(B), k5_numbers) | k12_afinsq_1(A, B)=k1_xboole_0) ) ) ) ) ) ).
fof(d12_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_afinsq_1(A) <=>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k9_xtuple_0(A)) =>  (r1_xxreal_0(C, B) | r2_tarski(B, k9_xtuple_0(A))) ) ) ) ) ) ) ) ) ).
fof(t65_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_afinsq_1(A)) ) ) )  => r2_tarski(k5_numbers, k9_xtuple_0(A))) ) ).
fof(t66_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_afinsq_1(A)) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k2_afinsq_1(A)) <=>  ~ (r1_xxreal_0(k4_card_1(A), B)) ) ) ) ) ) ).
fof(t67_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_afinsq_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) & v1_funct_1(B)) )  =>  (k9_xtuple_0(A)=k9_xtuple_0(B) => v1_afinsq_1(B)) ) ) ) ) ).
fof(t69_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finset_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_finset_1(B)) ) ) )  =>  ( (r1_tarski(A, B) & k62_valued_1(A)=k62_valued_1(B))  => A=B) ) ) ) ) ).
fof(t70_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finset_1(A)) ) ) )  => k62_valued_1(A)=k7_nat_d(k4_card_1(A), 1)) ) ).
fof(t71_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v1_afinsq_1(A)) ) ) ) )  => k64_valued_1(A)=k5_numbers) ) ).
fof(t72_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_afinsq_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => r1_xboole_0(k2_afinsq_1(A), k9_xtuple_0(k61_valued_1(B, k4_card_1(A))))) ) ) ) ).
fof(t73_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r2_tarski(B, k2_afinsq_1(A)))  & r2_tarski(k1_nat_1(B, 1), k2_afinsq_1(A))) ) ) ) ) ) ).
fof(d13_afinsq_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  => k13_afinsq_1(A, B)=B) ) ) ).
fof(t74_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  => r1_tarski(A, k1_ordinal4(A, B))) ) ) ) ).
fof(t75_afinsq_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  => k1_afinsq_1(k1_ordinal4(B, k5_afinsq_1(A)))=k1_nat_1(k1_afinsq_1(B), 1)) ) ) ).
fof(t76_afinsq_1, axiom,  (! [A] :  (! [B] : k6_afinsq_1(A, B)=k6_funct_4(k5_numbers, 1, A, B)) ) ).
fof(t77_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  => k1_ordinal4(A, B)=k1_funct_4(A, k61_valued_1(B, k4_card_1(A)))) ) ) ) ).
fof(t78_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (k1_funct_4(A, k1_ordinal4(A, B))=k1_ordinal4(A, B) & k1_funct_4(k1_ordinal4(A, B), A)=k1_ordinal4(A, B)) ) ) ) ) ).
fof(t79_afinsq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => r1_xboole_0(k9_xtuple_0(k61_valued_1(B, A)), k9_xtuple_0(k61_valued_1(C, k1_nat_1(A, k4_card_1(B)))))) ) ) ) ) ) ).
fof(t80_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (! [C] :  (v7_ordinal1(C) => r1_tarski(k61_valued_1(A, C), k61_valued_1(k1_ordinal4(A, B), C))) ) ) ) ) ) ).
fof(t81_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (! [C] :  (v7_ordinal1(C) => r1_tarski(k61_valued_1(B, k1_nat_1(C, k4_card_1(A))), k61_valued_1(k1_ordinal4(A, B), C))) ) ) ) ) ) ).
fof(t82_afinsq_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (r1_tarski(k61_valued_1(k1_ordinal4(B, C), D), A) => r1_tarski(k61_valued_1(B, D), A)) ) ) ) ) ) ) ) ).
fof(t83_afinsq_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (r1_tarski(k61_valued_1(k1_ordinal4(B, C), D), A) => r1_tarski(k61_valued_1(C, k1_nat_1(D, k4_card_1(B))), A)) ) ) ) ) ) ) ) ).
fof(d14_afinsq_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k16_afinsq_1(A, B, C, D)=k1_ordinal4(k1_ordinal4(k1_ordinal4(k5_afinsq_1(A), k5_afinsq_1(B)), k5_afinsq_1(C)), k5_afinsq_1(D))) ) ) ) ).
fof(t84_afinsq_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k1_afinsq_1(k16_afinsq_1(A, B, C, D))=4) ) ) ) ).
fof(t86_afinsq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  ( ~ (r1_xxreal_0(k1_afinsq_1(B), A))  <=> r2_tarski(A, k2_afinsq_1(B))) ) ) ) ) ).
fof(t87_afinsq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] : k7_funcop_1(k5_card_1(k1_nat_1(A, 1)), B)=k1_ordinal4(k7_funcop_1(k5_card_1(A), B), k5_afinsq_1(B))) ) ) ).
fof(t88_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] : k9_xtuple_0(k61_valued_1(k5_afinsq_1(B), k4_card_1(A)))=k1_tarski(k4_card_1(A))) ) ) ).
fof(t89_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] : k2_afinsq_1(k1_ordinal4(A, k5_afinsq_1(B)))=k2_xboole_0(k2_afinsq_1(A), k1_tarski(k4_card_1(A)))) ) ) ).
fof(t90_afinsq_1, axiom,  (! [A] :  (! [B] : k8_funct_4(k5_afinsq_1(A), A, B)=k5_afinsq_1(B)) ) ).
fof(t91_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finset_1(A)) ) ) )  => k62_valued_1(A)=k6_xcmplx_0(k4_card_1(A), 1)) ) ).
fof(s1_afinsq_1, axiom,  ( (! [A] :  (v7_ordinal1(A) =>  ~ ( (r2_tarski(A, f1_s1_afinsq_1) &  (! [B] :  ~ (p1_s1_afinsq_1(A, B)) ) ) ) ) )  =>  (? [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  &  (k2_afinsq_1(A)=f1_s1_afinsq_1 &  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, f1_s1_afinsq_1) => p1_s1_afinsq_1(B, k1_funct_1(A, B))) ) ) ) ) ) ) ).
fof(s2_afinsq_1, axiom,  (? [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  &  (k1_afinsq_1(A)=f1_s2_afinsq_1 &  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, f1_s2_afinsq_1) => k1_funct_1(A, B)=f2_s2_afinsq_1(B)) ) ) ) ) ) ).
fof(s3_afinsq_1, axiom,  ( (p1_s3_afinsq_1(k1_xboole_0) &  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  (p1_s3_afinsq_1(A) => p1_s3_afinsq_1(k1_ordinal4(A, k5_afinsq_1(B)))) ) ) ) )  =>  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  => p1_s3_afinsq_1(A)) ) ) ).
fof(s4_afinsq_1, axiom,  (? [A] :  (! [B] :  (r2_hidden(B, A) <=>  (? [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) )  &  (r2_tarski(C, k8_afinsq_1(f1_s4_afinsq_1)) &  (p1_s4_afinsq_1(C) & B=C) ) ) ) ) ) ) ).
fof(dt_k1_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  => m1_subset_1(k1_afinsq_1(A), k4_ordinal1)) ) ).
fof(projectivity_k1_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  => k1_afinsq_1(k1_afinsq_1(A))=k1_afinsq_1(A)) ) ).
fof(redefinition_k1_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  => k1_afinsq_1(A)=k1_card_1(A)) ) ).
fof(dt_k2_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  => m1_subset_1(k2_afinsq_1(A), k1_zfmisc_1(k4_ordinal1))) ) ).
fof(redefinition_k2_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  => k2_afinsq_1(A)=k9_xtuple_0(A)) ) ).
fof(dt_f1_s1_afinsq_1, axiom, v7_ordinal1(f1_s1_afinsq_1)).
fof(dt_f1_s2_afinsq_1, axiom, v7_ordinal1(f1_s2_afinsq_1)).
fof(dt_k4_afinsq_1, axiom,  (! [A] :  (v1_relat_1(k4_afinsq_1(A)) &  (v5_relat_1(k4_afinsq_1(A), A) &  (v5_ordinal1(k4_afinsq_1(A)) &  (v1_funct_1(k4_afinsq_1(A)) & v1_finset_1(k4_afinsq_1(A))) ) ) ) ) ).
fof(dt_k5_afinsq_1, axiom,  (! [A] :  (v1_relat_1(k5_afinsq_1(A)) & v1_funct_1(k5_afinsq_1(A))) ) ).
fof(redefinition_k5_afinsq_1, axiom,  (! [A] : k5_afinsq_1(A)=k3_afinsq_1(A)) ).
fof(dt_f1_s4_afinsq_1, axiom,  ~ (v1_xboole_0(f1_s4_afinsq_1)) ).
fof(dt_k9_afinsq_1, axiom,  (! [A, B] :  (m1_finseq_1(B, A) =>  (v1_relat_1(k9_afinsq_1(A, B)) &  (v5_relat_1(k9_afinsq_1(A, B), A) &  (v5_ordinal1(k9_afinsq_1(A, B)) &  (v1_funct_1(k9_afinsq_1(A, B)) & v1_finset_1(k9_afinsq_1(A, B))) ) ) ) ) ) ).
fof(dt_k10_afinsq_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  => m2_finseq_1(k10_afinsq_1(A, B), A)) ) ).
fof(dt_k11_afinsq_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_finseq_1(B, A) & v7_ordinal1(C)) )  =>  (v1_relat_1(k11_afinsq_1(A, B, C)) &  (v5_relat_1(k11_afinsq_1(A, B, C), A) &  (v5_ordinal1(k11_afinsq_1(A, B, C)) &  (v1_funct_1(k11_afinsq_1(A, B, C)) &  ( ~ (v1_xboole_0(k11_afinsq_1(A, B, C)))  & v1_finset_1(k11_afinsq_1(A, B, C))) ) ) ) ) ) ) ).
fof(dt_k12_afinsq_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) )  => m2_finseq_1(k12_afinsq_1(A, B), A)) ) ).
fof(dt_k13_afinsq_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  => m1_subset_1(k13_afinsq_1(A, B), k8_afinsq_1(A))) ) ).
fof(dt_k14_afinsq_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  & m1_subset_1(C, k8_afinsq_1(A)))  => m1_subset_1(k14_afinsq_1(A, B, C), k8_afinsq_1(A))) ) ).
fof(redefinition_k14_afinsq_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  & m1_subset_1(C, k8_afinsq_1(A)))  => k14_afinsq_1(A, B, C)=k1_ordinal4(B, C)) ) ).
fof(dt_k15_afinsq_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k8_afinsq_1(A)) & m1_subset_1(C, k8_afinsq_1(A)))  => m1_subset_1(k15_afinsq_1(A, B, C), k8_afinsq_1(A))) ) ).
fof(redefinition_k15_afinsq_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k8_afinsq_1(A)) & m1_subset_1(C, k8_afinsq_1(A)))  => k15_afinsq_1(A, B, C)=k1_ordinal4(B, C)) ) ).
fof(t68_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_afinsq_1(A)) ) ) )  => k2_afinsq_1(A)=a_1_0_afinsq_1(A)) ) ).
fof(fraenkel_a_1_0_afinsq_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) )  =>  (r2_hidden(A, a_1_0_afinsq_1(B)) <=>  (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (A=C &  ~ (r1_xxreal_0(k4_card_1(B), C)) ) ) ) ) ) ) ).
fof(rc1_afinsq_2, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_xboole_0(A) &  (v5_ordinal1(A) &  (v4_valued_0(A) &  (v1_finset_1(A) & v1_afinsq_1(A)) ) ) ) ) ) ) ) ).
fof(fc1_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_valued_0(A)) ) )  =>  (v1_relat_1(k30_valued_1(A)) &  (v1_funct_1(k30_valued_1(A)) &  (v5_ordinal1(k30_valued_1(A)) & v1_valued_0(k30_valued_1(A))) ) ) ) ) ).
fof(fc2_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_valued_0(A)) ) )  =>  (v1_relat_1(k35_valued_1(A)) &  (v1_funct_1(k35_valued_1(A)) &  (v5_ordinal1(k35_valued_1(A)) & v1_valued_0(k35_valued_1(A))) ) ) ) ) ).
fof(fc3_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_valued_0(A)) ) )  =>  (v1_relat_1(k39_valued_1(A)) &  (v1_funct_1(k39_valued_1(A)) & v5_ordinal1(k39_valued_1(A))) ) ) ) ).
fof(fc4_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_valued_0(A)) ) )  =>  (v1_relat_1(k54_valued_1(A)) &  (v1_funct_1(k54_valued_1(A)) &  (v5_ordinal1(k54_valued_1(A)) & v3_valued_0(k54_valued_1(A))) ) ) ) ) ).
fof(fc5_afinsq_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_valued_0(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_valued_0(B)) ) ) )  =>  (v1_relat_1(k1_valued_1(A, B)) &  (v1_funct_1(k1_valued_1(A, B)) & v5_ordinal1(k1_valued_1(A, B))) ) ) ) ).
fof(fc6_afinsq_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_valued_0(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_valued_0(B)) ) ) )  =>  (v1_relat_1(k45_valued_1(A, B)) &  (v1_funct_1(k45_valued_1(A, B)) & v5_ordinal1(k45_valued_1(A, B))) ) ) ) ).
fof(fc7_afinsq_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_valued_0(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_valued_0(B)) ) ) )  =>  (v1_relat_1(k18_valued_1(A, B)) &  (v1_funct_1(k18_valued_1(A, B)) & v5_ordinal1(k18_valued_1(A, B))) ) ) ) ).
fof(fc8_afinsq_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_valued_0(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_valued_0(B)) ) ) )  =>  (v1_relat_1(k50_valued_1(A, B)) &  (v1_funct_1(k50_valued_1(A, B)) & v5_ordinal1(k50_valued_1(A, B))) ) ) ) ).
fof(fc9_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_valued_0(A) & v1_finset_1(A)) ) )  =>  (v1_relat_1(k30_valued_1(A)) &  (v1_funct_1(k30_valued_1(A)) &  (v1_valued_0(k30_valued_1(A)) & v1_finset_1(k30_valued_1(A))) ) ) ) ) ).
fof(fc10_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_valued_0(A) & v1_finset_1(A)) ) )  =>  (v1_relat_1(k35_valued_1(A)) &  (v1_funct_1(k35_valued_1(A)) &  (v1_valued_0(k35_valued_1(A)) & v1_finset_1(k35_valued_1(A))) ) ) ) ) ).
fof(fc11_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_valued_0(A) & v1_finset_1(A)) ) )  =>  (v1_relat_1(k39_valued_1(A)) &  (v1_funct_1(k39_valued_1(A)) & v1_finset_1(k39_valued_1(A))) ) ) ) ).
fof(fc12_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_valued_0(A) & v1_finset_1(A)) ) )  =>  (v1_relat_1(k54_valued_1(A)) &  (v1_funct_1(k54_valued_1(A)) &  (v3_valued_0(k54_valued_1(A)) & v1_finset_1(k54_valued_1(A))) ) ) ) ) ).
fof(fc13_afinsq_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_valued_0(A) & v1_finset_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) ) )  =>  (v1_relat_1(k1_valued_1(A, B)) &  (v1_funct_1(k1_valued_1(A, B)) & v1_finset_1(k1_valued_1(A, B))) ) ) ) ).
fof(fc14_afinsq_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_valued_0(A) & v1_finset_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) ) )  =>  (v1_relat_1(k45_valued_1(A, B)) &  (v1_funct_1(k45_valued_1(A, B)) & v1_finset_1(k45_valued_1(A, B))) ) ) ) ).
fof(fc15_afinsq_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_valued_0(A) & v1_finset_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) ) )  =>  (v1_relat_1(k18_valued_1(A, B)) &  (v1_funct_1(k18_valued_1(A, B)) & v1_finset_1(k18_valued_1(A, B))) ) ) ) ).
fof(fc16_afinsq_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_valued_0(A) & v1_finset_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) ) )  =>  (v1_relat_1(k50_valued_1(A, B)) &  (v1_funct_1(k50_valued_1(A, B)) & v1_finset_1(k50_valued_1(A, B))) ) ) ) ).
fof(fc17_afinsq_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_valued_0(A) & v1_finset_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) ) )  =>  (v1_relat_1(k50_valued_1(B, A)) &  (v1_funct_1(k50_valued_1(B, A)) & v1_finset_1(k50_valued_1(B, A))) ) ) ) ).
fof(fc18_afinsq_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_valued_0(A)) ) )  & v1_xcmplx_0(B))  =>  (v1_relat_1(k7_valued_1(A, B)) &  (v1_funct_1(k7_valued_1(A, B)) & v5_ordinal1(k7_valued_1(A, B))) ) ) ) ).
fof(fc19_afinsq_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_valued_0(A)) ) )  & v1_xcmplx_0(B))  =>  (v1_relat_1(k13_valued_1(A, B)) &  (v1_funct_1(k13_valued_1(A, B)) & v5_ordinal1(k13_valued_1(A, B))) ) ) ) ).
fof(fc20_afinsq_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_valued_0(A)) ) )  & v1_xcmplx_0(B))  =>  (v1_relat_1(k24_valued_1(A, B)) &  (v1_funct_1(k24_valued_1(A, B)) & v5_ordinal1(k24_valued_1(A, B))) ) ) ) ).
fof(fc21_afinsq_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_valued_0(A) & v1_finset_1(A)) ) )  & v1_xcmplx_0(B))  =>  (v1_relat_1(k7_valued_1(A, B)) &  (v1_funct_1(k7_valued_1(A, B)) & v1_finset_1(k7_valued_1(A, B))) ) ) ) ).
fof(fc22_afinsq_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_valued_0(A) & v1_finset_1(A)) ) )  & v1_xcmplx_0(B))  =>  (v1_relat_1(k13_valued_1(A, B)) &  (v1_funct_1(k13_valued_1(A, B)) & v1_finset_1(k13_valued_1(A, B))) ) ) ) ).
fof(fc23_afinsq_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_valued_0(A) & v1_finset_1(A)) ) )  & v1_xcmplx_0(B))  =>  (v1_relat_1(k24_valued_1(A, B)) &  (v1_funct_1(k24_valued_1(A, B)) & v1_finset_1(k24_valued_1(A, B))) ) ) ) ).
fof(fc24_afinsq_2, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) )  =>  (v1_relat_1(k1_afinsq_2(B)) &  (v5_relat_1(k1_afinsq_2(B), A) &  (v1_funct_1(k1_afinsq_2(B)) &  (v5_ordinal1(k1_afinsq_2(B)) & v1_finset_1(k1_afinsq_2(B))) ) ) ) ) ) ).
fof(fc25_afinsq_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) ) )  & v7_ordinal1(B))  =>  (v1_relat_1(k2_afinsq_2(A, B)) &  (v1_funct_1(k2_afinsq_2(A, B)) &  (v2_funct_1(k2_afinsq_2(A, B)) &  (v5_ordinal1(k2_afinsq_2(A, B)) & v1_finset_1(k2_afinsq_2(A, B))) ) ) ) ) ) ).
fof(fc26_afinsq_2, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) )  & v7_ordinal1(C))  =>  (v1_relat_1(k2_afinsq_2(B, C)) &  (v5_relat_1(k2_afinsq_2(B, C), A) &  (v1_funct_1(k2_afinsq_2(B, C)) &  (v5_ordinal1(k2_afinsq_2(B, C)) & v1_finset_1(k2_afinsq_2(B, C))) ) ) ) ) ) ).
fof(fc27_afinsq_2, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) )  &  (v7_ordinal1(C) & v7_ordinal1(D)) )  =>  (v1_relat_1(k3_afinsq_2(B, C, D)) &  (v5_relat_1(k3_afinsq_2(B, C, D), A) &  (v1_funct_1(k3_afinsq_2(B, C, D)) &  (v5_ordinal1(k3_afinsq_2(B, C, D)) & v1_finset_1(k3_afinsq_2(B, C, D))) ) ) ) ) ) ).
fof(fc28_afinsq_2, axiom,  (! [A] :  ( (v1_finset_1(A) & v6_membered(A))  =>  (v1_relat_1(k4_afinsq_2(A)) &  (v5_relat_1(k4_afinsq_2(A), k4_ordinal1) &  (v1_funct_1(k4_afinsq_2(A)) &  (v2_funct_1(k4_afinsq_2(A)) &  (v5_ordinal1(k4_afinsq_2(A)) & v1_finset_1(k4_afinsq_2(A))) ) ) ) ) ) ) ).
fof(fc29_afinsq_2, axiom,  (! [A, B, C] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) )  =>  (v1_relat_1(k5_afinsq_2(B, C)) &  (v5_relat_1(k5_afinsq_2(B, C), A) &  (v1_funct_1(k5_afinsq_2(B, C)) &  (v5_ordinal1(k5_afinsq_2(B, C)) & v1_finset_1(k5_afinsq_2(B, C))) ) ) ) ) ) ).
fof(fc30_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) )  =>  (v1_relat_1(k5_afinsq_2(A, k1_xboole_0)) &  (v1_funct_1(k5_afinsq_2(A, k1_xboole_0)) &  (v1_xboole_0(k5_afinsq_2(A, k1_xboole_0)) &  (v5_ordinal1(k5_afinsq_2(A, k1_xboole_0)) & v1_finset_1(k5_afinsq_2(A, k1_xboole_0))) ) ) ) ) ) ).
fof(fc31_afinsq_2, axiom,  (! [A] :  (v1_relat_1(k5_afinsq_2(k1_xboole_0, A)) &  (v1_funct_1(k5_afinsq_2(k1_xboole_0, A)) &  (v1_xboole_0(k5_afinsq_2(k1_xboole_0, A)) &  (v5_ordinal1(k5_afinsq_2(k1_xboole_0, A)) & v1_finset_1(k5_afinsq_2(k1_xboole_0, A))) ) ) ) ) ).
fof(fc32_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_xboole_0(A) &  (v5_ordinal1(A) &  (v1_valued_0(A) & v1_finset_1(A)) ) ) ) )  => v8_ordinal1(k7_afinsq_2(A))) ) ).
fof(fc33_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v3_valued_0(A) & v1_finset_1(A)) ) ) )  => v1_xreal_0(k7_afinsq_2(A))) ) ).
fof(fc34_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k3_numbers) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) ) )  => v1_rat_1(k7_afinsq_2(A))) ) ).
fof(fc35_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) ) )  => v1_int_1(k7_afinsq_2(A))) ) ).
fof(fc36_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v4_valued_0(A) & v1_finset_1(A)) ) ) )  => v7_ordinal1(k7_afinsq_2(A))) ) ).
fof(cc1_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (v1_relat_1(A) & v4_partfun3(A)) ) ) ).
fof(fc37_afinsq_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) ) )  =>  (v1_relat_1(k1_ordinal4(A, B)) &  (v1_funct_1(k1_ordinal4(A, B)) &  ( ~ (v1_xboole_0(k1_ordinal4(A, B)))  & v5_ordinal1(k1_ordinal4(A, B))) ) ) ) ) ).
fof(fc38_afinsq_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) ) )  =>  (v1_relat_1(k1_ordinal4(B, A)) &  (v1_funct_1(k1_ordinal4(B, A)) &  ( ~ (v1_xboole_0(k1_ordinal4(B, A)))  & v5_ordinal1(k1_ordinal4(B, A))) ) ) ) ) ).
fof(t1_afinsq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (r2_hidden(B, A) => m1_subset_1(B, k4_ordinal1)) ) ) ) ).
fof(t2_afinsq_2, axiom,  (! [A] :  ( (v1_finset_1(A) & v6_membered(A))  =>  (? [B] :  (v7_ordinal1(B) & r1_tarski(A, k5_card_1(B))) ) ) ) ).
fof(t3_afinsq_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) )  =>  ~ ( (r2_hidden(A, k10_xtuple_0(B)) &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ ( (r2_tarski(C, k1_relset_1(k4_ordinal1, B)) & k1_funct_1(B, C)=A) ) ) ) ) ) ) ) ) ).
fof(t4_afinsq_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) )  =>  ( (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k1_relset_1(k4_ordinal1, B)) => r2_tarski(k1_funct_1(B, C), A)) ) )  =>  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) ) ) ) ) ) ).
fof(d1_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) )  =>  (B=k1_afinsq_2(A) <=>  (k1_afinsq_1(B)=k1_afinsq_1(A) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k1_relset_1(k4_ordinal1, B)) => k1_funct_1(B, C)=k1_funct_1(A, k6_xcmplx_0(k1_afinsq_1(A), k1_nat_1(C, 1)))) ) ) ) ) ) ) ) ) ).
fof(t5_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) )  =>  (k1_relset_1(k4_ordinal1, A)=k1_relset_1(k4_ordinal1, k1_afinsq_2(A)) & k10_xtuple_0(A)=k10_xtuple_0(k1_afinsq_2(A))) ) ) ).
fof(d2_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v5_ordinal1(C) & v1_finset_1(C)) ) )  =>  (C=k2_afinsq_2(A, B) <=>  (k1_afinsq_1(C)=k7_nat_d(k1_afinsq_1(A), B) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k1_relset_1(k4_ordinal1, C)) => k1_funct_1(C, D)=k1_funct_1(A, k2_xcmplx_0(D, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_afinsq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) )  =>  (r1_xxreal_0(k1_afinsq_1(B), A) => k2_afinsq_2(B, A)=k1_xboole_0) ) ) ) ) ).
fof(t7_afinsq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) )  =>  ( ~ (r1_xxreal_0(k1_afinsq_1(B), A))  => k1_afinsq_1(k2_afinsq_2(B, A))=k6_xcmplx_0(k1_afinsq_1(B), A)) ) ) ) ) ).
fof(t8_afinsq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v5_ordinal1(C) & v1_finset_1(C)) ) )  =>  ( ~ (r1_xxreal_0(k1_afinsq_1(C), k2_xcmplx_0(B, A)))  => k1_funct_1(k2_afinsq_2(C, A), B)=k1_funct_1(C, k2_xcmplx_0(B, A))) ) ) ) ) ) ) ).
fof(t9_afinsq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) )  => r1_tarski(k10_xtuple_0(k2_afinsq_2(B, A)), k10_xtuple_0(B))) ) ) ) ).
fof(t10_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) )  => k2_afinsq_2(A, k5_numbers)=A) ) ).
fof(t11_afinsq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v5_ordinal1(C) & v1_finset_1(C)) ) )  => k2_afinsq_2(k1_ordinal4(B, C), k2_xcmplx_0(k1_afinsq_1(B), A))=k2_afinsq_2(C, A)) ) ) ) ) ) ).
fof(t12_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) )  => k2_afinsq_2(k1_ordinal4(A, B), k1_afinsq_1(A))=B) ) ) ) ).
fof(t13_afinsq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) )  => k1_ordinal4(k5_relat_1(B, A), k2_afinsq_2(B, A))=B) ) ) ) ).
fof(d3_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k3_afinsq_2(A, B, C)=k2_afinsq_2(k5_relat_1(A, C), k7_nat_d(B, 1))) ) ) ) ) ) ).
fof(t14_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (r1_xxreal_0(B, C))  => k3_afinsq_2(A, B, C)=k1_xboole_0) ) ) ) ) ) ) ).
fof(t15_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(C, k1_afinsq_1(A)))  => k3_afinsq_2(A, B, C)=k5_relat_1(k2_afinsq_2(A, k7_nat_d(B, 1)), k7_nat_d(k1_nat_1(C, 1), B))) ) ) ) ) ) ) ).
fof(t16_afinsq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) )  => k3_afinsq_2(B, 1, A)=k5_relat_1(B, A)) ) ) ) ).
fof(t17_afinsq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) )  =>  (r1_xxreal_0(k1_afinsq_1(B), A) => k3_afinsq_2(B, 1, A)=B) ) ) ) ) ).
fof(t18_afinsq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) )  => k3_afinsq_2(B, k5_numbers, A)=k3_afinsq_2(B, 1, A)) ) ) ) ).
fof(t19_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) )  => k3_afinsq_2(k1_ordinal4(A, B), k1_nat_1(k1_afinsq_1(A), 1), k1_nat_1(k1_afinsq_1(A), k1_afinsq_1(B)))=B) ) ) ) ).
fof(d4_afinsq_2, axiom,  (! [A] :  ( (v1_finset_1(A) & v6_membered(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) )  =>  (B=k4_afinsq_2(A) <=>  (k2_relset_1(k4_ordinal1, B)=A &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ~ ( ( ~ (r1_xxreal_0(D, C))  &  ( ~ (r1_xxreal_0(k1_afinsq_1(B), D))  &  (E=k1_recdef_1(B, C) &  (F=k1_recdef_1(B, D) & r1_xxreal_0(F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_afinsq_2, axiom,  (! [A] :  ( (v1_finset_1(A) & v6_membered(A))  => k1_afinsq_1(k4_afinsq_2(A))=k4_card_1(A)) ) ).
fof(t21_afinsq_2, axiom,  (! [A] :  ( (v1_finset_1(A) & v6_membered(A))  =>  (! [B] :  ( (v1_finset_1(B) & v6_membered(B))  =>  (r1_tarski(A, B) =>  (A=k1_xboole_0 | r1_xxreal_0(k1_recdef_1(k4_afinsq_2(B), k5_numbers), k1_recdef_1(k4_afinsq_2(A), k5_numbers))) ) ) ) ) ) ).
fof(t22_afinsq_2, axiom,  (! [A] :  (v7_ordinal1(A) => k1_recdef_1(k4_afinsq_2(k1_tarski(A)), k5_numbers)=A) ) ).
fof(d5_afinsq_2, axiom,  (! [A] :  (! [B] :  (r1_afinsq_2(A, B) <=>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(C, A) &  (r2_tarski(D, B) & r1_xxreal_0(D, C)) ) ) ) ) ) ) ) ) ) ).
fof(d6_afinsq_2, axiom,  (! [A] :  (! [B] :  (r2_afinsq_2(A, B) <=>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(C, A) & r2_tarski(D, B))  => r1_xxreal_0(C, D)) ) ) ) ) ) ) ) ).
fof(t23_afinsq_2, axiom,  (! [A] :  (! [B] :  (r1_afinsq_2(A, B) => k3_xboole_0(k3_xboole_0(A, B), k4_ordinal1)=k1_xboole_0) ) ) ).
fof(t24_afinsq_2, axiom,  (! [A] :  ( (v1_finset_1(A) & v6_membered(A))  =>  (! [B] :  ( (v1_finset_1(B) & v6_membered(B))  =>  (r1_afinsq_2(A, B) => r1_xboole_0(A, B)) ) ) ) ) ).
fof(t25_afinsq_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (r1_afinsq_2(B, C) => r1_afinsq_2(k3_xboole_0(A, B), k3_xboole_0(A, C))) ) ) ) ).
fof(t26_afinsq_2, axiom,  (! [A] :  ( (v1_finset_1(A) & v6_membered(A))  =>  (! [B] :  ( (v1_finset_1(B) & v6_membered(B))  =>  ~ ( ( ~ (B=k1_xboole_0)  &  ( (? [C] :  (r2_tarski(C, A) & r2_afinsq_2(k1_tarski(C), B)) )  &  ~ (r1_xxreal_0(k1_recdef_1(k4_afinsq_2(A), k5_numbers), k1_recdef_1(k4_afinsq_2(B), k5_numbers))) ) ) ) ) ) ) ) ).
fof(t27_afinsq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_finset_1(B) & v6_membered(B))  =>  (! [C] :  ( (v1_finset_1(C) & v6_membered(C))  =>  (r1_afinsq_2(B, C) =>  (r1_xxreal_0(k4_card_1(B), A) |  (k2_relset_1(k10_xtuple_0(k4_afinsq_2(k2_xboole_0(B, C))), k5_relat_1(k4_afinsq_2(k2_xboole_0(B, C)), k4_card_1(B)))=B & k1_recdef_1(k5_relat_1(k4_afinsq_2(k2_xboole_0(B, C)), k4_card_1(B)), A)=k1_recdef_1(k4_afinsq_2(k2_xboole_0(B, C)), A)) ) ) ) ) ) ) ) ) ).
fof(t28_afinsq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_finset_1(B) & v6_membered(B))  =>  (! [C] :  ( (v1_finset_1(C) & v6_membered(C))  =>  ( (r1_afinsq_2(B, C) & r2_tarski(A, k4_card_1(B)))  => r2_tarski(k1_recdef_1(k4_afinsq_2(k2_xboole_0(B, C)), A), B)) ) ) ) ) ) ) ).
fof(t29_afinsq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_finset_1(B) & v6_membered(B))  =>  (! [C] :  ( (v1_finset_1(C) & v6_membered(C))  =>  (r1_afinsq_2(B, C) =>  (r1_xxreal_0(k1_afinsq_1(k4_afinsq_2(B)), A) | k1_recdef_1(k4_afinsq_2(B), A)=k1_recdef_1(k4_afinsq_2(k2_xboole_0(B, C)), A)) ) ) ) ) ) ) ) ).
fof(t30_afinsq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_finset_1(B) & v6_membered(B))  =>  (! [C] :  ( (v1_finset_1(C) & v6_membered(C))  =>  (r1_afinsq_2(B, C) =>  (r1_xxreal_0(k4_card_1(C), A) |  (k2_relset_1(k4_ordinal1, k2_afinsq_2(k4_afinsq_2(k2_xboole_0(B, C)), k4_card_1(B)))=C & k1_recdef_1(k2_afinsq_2(k4_afinsq_2(k2_xboole_0(B, C)), k4_card_1(B)), A)=k1_recdef_1(k4_afinsq_2(k2_xboole_0(B, C)), k1_nat_1(A, k4_card_1(B)))) ) ) ) ) ) ) ) ) ).
fof(t31_afinsq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_finset_1(B) & v6_membered(B))  =>  (! [C] :  ( (v1_finset_1(C) & v6_membered(C))  =>  (r1_afinsq_2(B, C) =>  (r1_xxreal_0(k1_afinsq_1(k4_afinsq_2(C)), A) | k1_recdef_1(k4_afinsq_2(C), A)=k1_recdef_1(k4_afinsq_2(k2_xboole_0(B, C)), k1_nat_1(A, k1_afinsq_1(k4_afinsq_2(B))))) ) ) ) ) ) ) ) ).
fof(t32_afinsq_2, axiom,  (! [A] :  ( (v1_finset_1(A) & v6_membered(A))  =>  (! [B] :  ( (v1_finset_1(B) & v6_membered(B))  =>  (r1_afinsq_2(A, B) =>  (B=k1_xboole_0 | k1_recdef_1(k4_afinsq_2(B), k5_numbers)=k1_recdef_1(k4_afinsq_2(k2_xboole_0(A, B)), k1_afinsq_1(k4_afinsq_2(A)))) ) ) ) ) ) ).
fof(t33_afinsq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_finset_1(E) & v6_membered(E))  =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  ( ~ (r1_xxreal_0(k1_afinsq_1(k4_afinsq_2(E)), B))  &  (k1_recdef_1(k4_afinsq_2(E), B)=D &  (k1_recdef_1(k4_afinsq_2(E), C)=A & r1_xxreal_0(C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_afinsq_2, axiom,  (! [A] :  ( (v1_finset_1(A) & v6_membered(A))  =>  (! [B] :  ( (v1_finset_1(B) & v6_membered(B))  =>  (r1_afinsq_2(A, B) =>  (A=k1_xboole_0 | k1_recdef_1(k4_afinsq_2(A), k5_numbers)=k1_recdef_1(k4_afinsq_2(k2_xboole_0(A, B)), k5_numbers)) ) ) ) ) ) ).
fof(t35_afinsq_2, axiom,  (! [A] :  ( (v1_finset_1(A) & v6_membered(A))  =>  (! [B] :  ( (v1_finset_1(B) & v6_membered(B))  =>  (r1_afinsq_2(A, B) <=> k4_afinsq_2(k2_xboole_0(A, B))=k1_ordinal4(k4_afinsq_2(A), k4_afinsq_2(B))) ) ) ) ) ).
fof(d7_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) )  =>  (! [B] : k5_afinsq_2(A, B)=k3_relat_1(k4_afinsq_2(k9_subset_1(k4_ordinal1, B, k5_card_1(k1_afinsq_1(A)))), A)) ) ) ).
fof(t36_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  (k1_afinsq_1(k5_afinsq_2(A, B))=k4_card_1(k9_subset_1(k4_ordinal1, B, k5_card_1(k1_afinsq_1(A)))) &  (! [C] :  (v7_ordinal1(C) =>  ( ~ (r1_xxreal_0(k1_afinsq_1(k5_afinsq_2(A, B)), C))  => k1_funct_1(k5_afinsq_2(A, B), C)=k1_funct_1(A, k1_recdef_1(k4_afinsq_2(k9_subset_1(k4_ordinal1, B, k5_card_1(k1_afinsq_1(A)))), C))) ) ) ) ) ) ) ).
fof(d8_afinsq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) )  =>  (v5_relat_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  ( (v1_setwiseo(C, A) | r1_xxreal_0(1, k1_afinsq_1(B)))  =>  (! [D] :  (m1_subset_1(D, A) =>  ( ( (v1_setwiseo(C, A) & k1_afinsq_1(B)=k5_numbers)  =>  (D=k6_afinsq_2(A, B, C) <=> D=k3_binop_1(A, C)) )  &  ( ~ ( (v1_setwiseo(C, A) & k1_afinsq_1(B)=k5_numbers) )  =>  (D=k6_afinsq_2(A, B, C) <=>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  &  (k3_funct_2(k4_ordinal1, A, E, k5_numbers)=k1_funct_1(B, k5_numbers) &  ( (! [F] :  (v7_ordinal1(F) =>  ( ~ (r1_xxreal_0(k1_afinsq_1(B), k1_nat_1(F, 1)))  => k3_funct_2(k4_ordinal1, A, E, k1_nat_1(F, 1))=k1_binop_1(C, k8_nat_1(A, E, F), k1_funct_1(B, k1_nat_1(F, 1)))) ) )  & D=k1_funct_1(E, k6_xcmplx_0(k1_afinsq_1(B), 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_afinsq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  (m1_subset_1(C, A) => k6_afinsq_2(A, k5_afinsq_1(C), B)=C) ) ) ) ) ) ).
fof(t38_afinsq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) => k6_afinsq_2(A, k6_afinsq_1(C, D), B)=k4_binop_1(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t39_afinsq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) => k6_afinsq_2(A, k7_afinsq_1(C, D, E), B)=k4_binop_1(A, B, k4_binop_1(A, B, C, D), E)) ) ) ) ) ) ) ) ) ) ).
fof(t40_afinsq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  (m1_subset_1(D, A) =>  ( ~ ( ( ~ (v1_setwiseo(C, A))  & r1_xxreal_0(k1_afinsq_1(B), k5_numbers)) )  => k6_afinsq_2(A, k1_ordinal4(B, k5_afinsq_1(D)), C)=k4_binop_1(A, C, k6_afinsq_2(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t42_afinsq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v1_funct_1(C) &  (v5_ordinal1(C) & v1_finset_1(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v2_binop_1(D, A) =>  ( ( ~ (v1_setwiseo(D, A))  &  ~ ( (r1_xxreal_0(1, k1_afinsq_1(B)) & r1_xxreal_0(1, k1_afinsq_1(C))) ) )  | k6_afinsq_2(A, k1_ordinal4(B, C), D)=k4_binop_1(A, D, k6_afinsq_2(A, B, D), k6_afinsq_2(A, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t43_afinsq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v5_ordinal1(C) & v1_finset_1(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(B, B), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (r2_tarski(A, k1_relset_1(k4_ordinal1, C)) =>  ( ( ~ (v1_setwiseo(D, B))  & A=k5_numbers)  | k1_binop_1(D, k6_afinsq_2(B, k5_relat_1(C, A), D), k1_funct_1(C, A))=k6_afinsq_2(B, k5_relat_1(C, k1_nat_1(A, 1)), D)) ) ) ) ) ) ) ) ) ) ).
fof(t44_afinsq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  ( (v1_setwiseo(C, A) | r1_xxreal_0(1, k1_afinsq_1(B)))  => k6_afinsq_2(A, B, C)=k1_finsop_1(A, k10_afinsq_1(A, B), C)) ) ) ) ) ) ) ).
fof(t45_afinsq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v1_funct_1(C) &  (v5_ordinal1(C) & v1_finset_1(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_relset_1(k4_ordinal1, B), k1_relset_1(k4_ordinal1, B)) &  (v3_funct_2(E, k1_relset_1(k4_ordinal1, B), k1_relset_1(k4_ordinal1, B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_relset_1(k4_ordinal1, B), k1_relset_1(k4_ordinal1, B))))) ) )  =>  ( (v1_binop_1(D, A) &  (v2_binop_1(D, A) & C=k3_relat_1(E, B)) )  =>  ( ( ~ (v1_setwiseo(D, A))  &  ~ (r1_xxreal_0(1, k1_afinsq_1(B))) )  | k6_afinsq_2(A, B, D)=k6_afinsq_2(A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_afinsq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v1_funct_1(C) &  (v5_ordinal1(C) & v1_finset_1(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v5_relat_1(E, A) &  (v1_funct_1(E) &  (v5_ordinal1(E) & v1_finset_1(E)) ) ) )  =>  ( (v1_binop_1(D, A) &  (v2_binop_1(D, A) &  (k1_afinsq_1(B)=k1_afinsq_1(C) &  (k1_afinsq_1(B)=k1_afinsq_1(E) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k1_relset_1(k4_ordinal1, E)) => k1_funct_1(E, F)=k1_binop_1(D, k1_funct_1(B, F), k1_funct_1(C, F))) ) ) ) ) ) )  =>  ( ( ~ (v1_setwiseo(D, A))  &  ~ (r1_xxreal_0(1, k1_afinsq_1(B))) )  | k6_afinsq_2(A, k1_ordinal4(B, C), D)=k6_afinsq_2(A, E, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_afinsq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) )  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(C, C), C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, C), C)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(D, D), D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(D, D), D)))) )  =>  ( (r1_xxreal_0(1, k1_afinsq_1(B)) &  (r1_tarski(A, k3_xboole_0(C, D)) &  (! [G] :  (! [H] :  ( (r2_hidden(G, A) & r2_hidden(H, A))  =>  (k1_binop_1(E, G, H)=k1_binop_1(F, G, H) & r2_tarski(k1_binop_1(E, G, H), A)) ) ) ) ) )  => k6_afinsq_2(C, B, E)=k6_afinsq_2(D, B, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) )  => k7_afinsq_2(A)=k6_afinsq_2(k2_numbers, A, k3_binop_2)) ) ).
fof(t48_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) )  =>  (v3_valued_0(A) => k7_afinsq_2(A)=k6_afinsq_2(k1_numbers, A, k9_binop_2)) ) ) ).
fof(t49_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) )  =>  (v5_relat_1(A, k3_numbers) => k7_afinsq_2(A)=k6_afinsq_2(k3_numbers, A, k15_binop_2)) ) ) ).
fof(t50_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) )  =>  (v5_relat_1(A, k4_numbers) => k7_afinsq_2(A)=k6_afinsq_2(k4_numbers, A, k20_binop_2)) ) ) ).
fof(t51_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) )  =>  (v4_valued_0(A) => k7_afinsq_2(A)=k6_afinsq_2(k4_ordinal1, A, k23_binop_2)) ) ) ).
fof(t52_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v1_valued_0(A) & v1_finset_1(A)) ) ) )  =>  (A=k1_xboole_0 => k7_afinsq_2(A)=k5_numbers) ) ) ).
fof(t53_afinsq_2, axiom,  (! [A] :  (v1_xcmplx_0(A) => k7_afinsq_2(k5_afinsq_1(A))=A) ) ).
fof(t54_afinsq_2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k7_afinsq_2(k6_afinsq_1(A, B))=k2_xcmplx_0(A, B)) ) ) ) ).
fof(t55_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v1_valued_0(A) & v1_finset_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) &  (v1_valued_0(B) & v1_finset_1(B)) ) ) )  => k7_afinsq_2(k1_ordinal4(A, B))=k2_xcmplx_0(k7_afinsq_2(A), k7_afinsq_2(B))) ) ) ) ).
fof(t56_afinsq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) &  (v3_valued_0(B) & v1_finset_1(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (B=k2_partfun1(k4_ordinal1, k1_numbers, C, k1_nat_1(A, 1)) => k7_afinsq_2(B)=k8_nat_1(k1_numbers, k3_series_1(C), A)) ) ) ) ) ) ) ).
fof(t57_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v3_valued_0(A) & v1_finset_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) &  (v3_valued_0(B) & v1_finset_1(B)) ) ) )  =>  ( (k1_afinsq_1(A)=k1_afinsq_1(B) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k1_relset_1(k4_ordinal1, A)) => r1_xxreal_0(k1_funct_1(A, C), k1_funct_1(B, C))) ) ) )  => r1_xxreal_0(k7_afinsq_2(A), k7_afinsq_2(B))) ) ) ) ) ).
fof(t58_afinsq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xcmplx_0(B) => k7_afinsq_2(k7_funcop_1(A, B))=k3_xcmplx_0(A, B)) ) ) ) ).
fof(t59_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v3_valued_0(A) & v1_finset_1(A)) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  ( (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k1_relset_1(k4_ordinal1, A)) => r1_xxreal_0(k1_funct_1(A, C), B)) ) )  => r1_xxreal_0(k7_afinsq_2(A), k3_xcmplx_0(k1_afinsq_1(A), B))) ) ) ) ) ).
fof(t60_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v3_valued_0(A) & v1_finset_1(A)) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  ( (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k1_relset_1(k4_ordinal1, A)) => r1_xxreal_0(B, k1_funct_1(A, C))) ) )  => r1_xxreal_0(k3_xcmplx_0(k1_afinsq_1(A), B), k7_afinsq_2(A))) ) ) ) ) ).
fof(t61_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v3_valued_0(A) & v1_finset_1(A)) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (v4_partfun3(A) =>  (r1_xxreal_0(k1_afinsq_1(A), k5_numbers) |  ( (! [C] :  ~ ( (r2_hidden(C, k1_relset_1(k4_ordinal1, A)) & k1_funct_1(A, C)=B) ) )  | r1_xxreal_0(B, k7_afinsq_2(A))) ) ) ) ) ) ) ).
fof(t62_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v3_valued_0(A) & v1_finset_1(A)) ) ) )  =>  (v4_partfun3(A) =>  (k7_afinsq_2(A)=k5_numbers <=>  (k1_afinsq_1(A)=k5_numbers | A=k8_funcop_1(k4_ordinal1, k1_afinsq_1(A), k5_numbers)) ) ) ) ) ).
fof(t63_afinsq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) &  (v1_valued_0(B) & v1_finset_1(B)) ) ) )  =>  (! [C] :  (v1_xcmplx_0(C) => k24_valued_1(k5_relat_1(B, A), C)=k5_relat_1(k24_valued_1(B, C), A)) ) ) ) ) ) ).
fof(t64_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v1_valued_0(A) & v1_finset_1(A)) ) ) )  =>  (! [B] :  (v1_xcmplx_0(B) => k3_xcmplx_0(B, k7_afinsq_2(A))=k7_afinsq_2(k24_valued_1(A, B))) ) ) ) ).
fof(t65_afinsq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) &  (v1_valued_0(B) & v1_finset_1(B)) ) ) )  =>  (r2_tarski(A, k1_relset_1(k4_ordinal1, B)) => k2_xcmplx_0(k7_afinsq_2(k5_relat_1(B, A)), k1_funct_1(B, A))=k7_afinsq_2(k5_relat_1(B, k1_nat_1(A, 1)))) ) ) ) ) ).
fof(t66_afinsq_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (k1_funct_1(C, B)=A & r2_hidden(B, k9_xtuple_0(C)))  => k2_xboole_0(k1_tarski(B), k8_relat_1(k5_relat_1(C, k6_subset_1(k9_xtuple_0(C), k1_tarski(B))), k1_tarski(A)))=k8_relat_1(C, k1_tarski(A))) ) ) ) ) ).
fof(t67_afinsq_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( ~ (k1_funct_1(C, B)=A)  => k8_relat_1(k5_relat_1(C, k6_subset_1(k9_xtuple_0(C), k1_tarski(B))), k1_tarski(A))=k8_relat_1(C, k1_tarski(A))) ) ) ) ) ).
fof(t68_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v1_valued_0(A) & v1_finset_1(A)) ) ) )  =>  (! [B] :  (v1_xcmplx_0(B) =>  (r1_tarski(k10_xtuple_0(A), k2_tarski(k5_numbers, B)) => k7_afinsq_2(A)=k3_xcmplx_0(B, k4_card_1(k8_relat_1(A, k1_tarski(B))))) ) ) ) ) ).
fof(t69_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v1_valued_0(A) & v1_finset_1(A)) ) ) )  => k7_afinsq_2(A)=k7_afinsq_2(k1_afinsq_2(A))) ) ).
fof(t70_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v5_ordinal1(C) & v1_finset_1(C)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v5_ordinal1(D) & v1_finset_1(D)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) &  (v5_ordinal1(E) & v1_finset_1(E)) ) )  =>  ( (r1_tarski(k10_xtuple_0(B), k9_xtuple_0(A)) &  (r1_tarski(k10_xtuple_0(C), k9_xtuple_0(A)) &  (D=k3_relat_1(B, A) & E=k3_relat_1(C, A)) ) )  => k1_ordinal4(D, E)=k3_relat_1(k1_ordinal4(B, C), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v1_valued_0(A) & v1_finset_1(A)) ) ) )  =>  (! [B] :  ( (v1_finset_1(B) & v6_membered(B))  =>  (! [C] :  ( (v1_finset_1(C) & v6_membered(C))  =>  (r1_afinsq_2(B, C) => k7_afinsq_2(k5_afinsq_2(A, k2_xboole_0(B, C)))=k2_xcmplx_0(k7_afinsq_2(k5_afinsq_2(A, B)), k7_afinsq_2(k5_afinsq_2(A, C)))) ) ) ) ) ) ) ).
fof(t72_afinsq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v1_setwiseo(B, A) => k6_afinsq_2(A, k4_afinsq_1(A), B)=k3_binop_1(A, B)) ) ) ) ) ).
fof(d10_afinsq_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k8_afinsq_1(A)) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (C=k8_afinsq_2(A, B) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)), k8_afinsq_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)), k8_afinsq_1(A))))) )  &  ( (! [E] :  (m1_subset_1(E, k8_afinsq_1(A)) =>  (! [F] :  (m1_subset_1(F, k8_afinsq_1(A)) => k4_binop_1(k8_afinsq_1(A), D, E, F)=k15_afinsq_1(A, E, F)) ) ) )  & C=k6_afinsq_2(k8_afinsq_1(A), B, D)) ) ) ) ) ) ) ) ) ).
fof(t73_afinsq_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k8_afinsq_1(A)) => k8_afinsq_2(A, k5_afinsq_1(B))=B) ) ) ).
fof(t74_afinsq_2, axiom,  (! [A] : k8_afinsq_2(A, k4_afinsq_1(k8_afinsq_1(A)))=k4_afinsq_1(A)) ).
fof(t75_afinsq_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k8_afinsq_1(A)) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k8_afinsq_1(A)) &  (v1_funct_1(C) &  (v5_ordinal1(C) & v1_finset_1(C)) ) ) )  => k8_afinsq_2(A, k1_ordinal4(B, C))=k15_afinsq_1(A, k8_afinsq_2(A, B), k8_afinsq_2(A, C))) ) ) ) ) ).
fof(t76_afinsq_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k8_afinsq_1(A)) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) => k8_afinsq_2(A, k6_afinsq_1(B, C))=k15_afinsq_1(A, B, C)) ) ) ) ) ).
fof(t77_afinsq_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k8_afinsq_1(A)) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) => k8_afinsq_2(A, k7_afinsq_1(B, C, D))=k15_afinsq_1(A, k15_afinsq_1(A, B, C), D)) ) ) ) ) ) ) ).
fof(t78_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) )  =>  (r1_tarski(A, B) => k1_ordinal4(A, k2_afinsq_2(B, k1_afinsq_1(A)))=B) ) ) ) ) ).
fof(t79_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) )  =>  ~ ( (r1_tarski(A, B) &  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v5_ordinal1(C) & v1_finset_1(C)) ) )  =>  ~ (k1_ordinal4(A, C)=B) ) ) ) ) ) ) ) ) ).
fof(t80_afinsq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v1_funct_1(C) &  (v5_ordinal1(C) & v1_finset_1(C)) ) ) )  =>  ~ ( (r1_tarski(B, C) &  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, A) &  (v1_funct_1(D) &  (v5_ordinal1(D) & v1_finset_1(D)) ) ) )  =>  ~ (k1_ordinal4(B, D)=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t81_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v5_ordinal1(C) & v1_finset_1(C)) ) )  =>  (r1_tarski(B, C) => r1_tarski(k1_ordinal4(A, B), k1_ordinal4(A, C))) ) ) ) ) ) ) ).
fof(t82_afinsq_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k8_afinsq_1(A)) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k8_afinsq_1(A)) &  (v1_funct_1(C) &  (v5_ordinal1(C) & v1_finset_1(C)) ) ) )  =>  (r1_tarski(B, C) => r1_tarski(k8_afinsq_2(A, B), k8_afinsq_2(A, C))) ) ) ) ) ) ).
fof(t83_afinsq_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) )  => k63_valued_1(k1_ordinal4(B, k5_afinsq_1(A)))=B) ) ) ).
fof(s1_afinsq_2, axiom,  (? [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, f2_s1_afinsq_2) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) ) )  &  (k1_afinsq_1(A)=f1_s1_afinsq_2 &  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, f1_s1_afinsq_2) => k1_funct_1(A, B)=f3_s1_afinsq_2(B)) ) ) ) ) ) ).
fof(s2_afinsq_2, axiom,  ( (p1_s2_afinsq_2(k4_afinsq_1(f1_s2_afinsq_2)) &  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, f1_s2_afinsq_2) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, f1_s2_afinsq_2) =>  (p1_s2_afinsq_2(A) => p1_s2_afinsq_2(k1_ordinal4(A, k5_afinsq_1(B)))) ) ) ) ) )  =>  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, f1_s2_afinsq_2) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) ) )  => p1_s2_afinsq_2(A)) ) ) ).
fof(dt_f1_s1_afinsq_2, axiom, v7_ordinal1(f1_s1_afinsq_2)).
fof(dt_f2_s1_afinsq_2, axiom,  ~ (v1_xboole_0(f2_s1_afinsq_2)) ).
fof(dt_f3_s1_afinsq_2, axiom,  (! [A] : m1_subset_1(f3_s1_afinsq_2(A), f2_s1_afinsq_2)) ).
fof(dt_k1_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) )  =>  (v1_relat_1(k1_afinsq_2(A)) &  (v1_funct_1(k1_afinsq_2(A)) &  (v5_ordinal1(k1_afinsq_2(A)) & v1_finset_1(k1_afinsq_2(A))) ) ) ) ) ).
fof(dt_k2_afinsq_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) )  & v7_ordinal1(B))  =>  (v1_relat_1(k2_afinsq_2(A, B)) &  (v1_funct_1(k2_afinsq_2(A, B)) &  (v5_ordinal1(k2_afinsq_2(A, B)) & v1_finset_1(k2_afinsq_2(A, B))) ) ) ) ) ).
fof(dt_k3_afinsq_2, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) )  &  (v7_ordinal1(B) & v7_ordinal1(C)) )  =>  (v1_relat_1(k3_afinsq_2(A, B, C)) &  (v1_funct_1(k3_afinsq_2(A, B, C)) &  (v5_ordinal1(k3_afinsq_2(A, B, C)) & v1_finset_1(k3_afinsq_2(A, B, C))) ) ) ) ) ).
fof(dt_k4_afinsq_2, axiom,  (! [A] :  ( (v1_finset_1(A) & v6_membered(A))  =>  (v1_relat_1(k4_afinsq_2(A)) &  (v5_relat_1(k4_afinsq_2(A), k4_ordinal1) &  (v1_funct_1(k4_afinsq_2(A)) &  (v5_ordinal1(k4_afinsq_2(A)) & v1_finset_1(k4_afinsq_2(A))) ) ) ) ) ) ).
fof(dt_k5_afinsq_2, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) )  =>  (v1_relat_1(k5_afinsq_2(A, B)) &  (v1_funct_1(k5_afinsq_2(A, B)) &  (v5_ordinal1(k5_afinsq_2(A, B)) & v1_finset_1(k5_afinsq_2(A, B))) ) ) ) ) ).
fof(dt_k6_afinsq_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) ) )  => m1_subset_1(k6_afinsq_2(A, B, C), A)) ) ).
fof(dt_k7_afinsq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) )  => m1_subset_1(k7_afinsq_2(A), k2_numbers)) ) ).
fof(dt_k8_afinsq_2, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k8_afinsq_1(A)) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) )  => m1_subset_1(k8_afinsq_2(A, B), k8_afinsq_1(A))) ) ).
fof(fc1_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (v1_incsp_1(k13_afproj(A)) &  (v6_incsp_1(k13_afproj(A)) &  (v1_incproj(k13_afproj(A)) &  (v2_incproj(k13_afproj(A)) &  (v3_incproj(k13_afproj(A)) & v4_incproj(k13_afproj(A))) ) ) ) ) ) ) ).
fof(rc1_afproj, axiom,  (? [A] :  (l1_incsp_1(A) &  (v1_incsp_1(A) &  (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) & v5_incproj(A)) ) ) ) ) ) ) ) ).
fof(fc2_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v1_incsp_1(k13_afproj(A)) & v5_incproj(k13_afproj(A))) ) ) ).
fof(t1_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  & B=u1_struct_0(A))  => v1_aff_4(B, A)) ) ) ) ) ).
fof(t2_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  & v1_aff_4(B, A))  => B=u1_struct_0(A)) ) ) ) ) ).
fof(t3_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  &  (v1_aff_4(B, A) & v1_aff_4(C, A)) )  => B=C) ) ) ) ) ) ) ).
fof(t4_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (B=u1_struct_0(A) & v1_aff_4(B, A))  =>  ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) ) ) ) ) ) ) ).
fof(t5_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r1_aff_4(A, B, D) &  (r1_aff_4(A, B, E) &  (r1_aff_4(A, C, D) &  (r1_aff_4(A, C, E) &  (v1_aff_1(B, A) &  (v1_aff_1(C, A) &  (v1_aff_4(D, A) & v1_aff_4(E, A)) ) ) ) ) ) )  =>  (r5_aff_1(A, B, C) | r1_aff_4(A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_aff_4(C, A) &  (r1_aff_4(A, B, C) & r1_aff_4(A, C, D)) )  => r1_aff_4(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t7_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (r2_tarski(B, k1_afproj(A)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) &  (B=C & v1_aff_1(C, A)) ) ) ) ) ) ) ).
fof(t8_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (r2_tarski(B, k2_afproj(A)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) &  (B=C & v1_aff_4(C, A)) ) ) ) ) ) ) ).
fof(d5_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k5_afproj(A, B)=k6_eqrel_1(k1_afproj(A), k1_afproj(A), k3_afproj(A), B)) ) ) ) ).
fof(d6_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k6_afproj(A, B)=k6_eqrel_1(k2_afproj(A), k2_afproj(A), k4_afproj(A), B)) ) ) ) ).
fof(t9_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_aff_1(B, A) =>  (! [C] :  (r2_tarski(C, k5_afproj(A, B)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) &  (C=D &  (v1_aff_1(D, A) & r1_aff_4(A, B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_aff_4(B, A) =>  (! [C] :  (r2_tarski(C, k6_afproj(A, B)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) &  (C=D &  (v1_aff_4(D, A) & r1_aff_4(A, B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_aff_1(B, A) & v1_aff_1(C, A))  =>  (k5_afproj(A, B)=k5_afproj(A, C) <=> r5_aff_1(A, B, C)) ) ) ) ) ) ) ) ).
fof(t12_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_aff_1(B, A) & v1_aff_1(C, A))  =>  (k5_afproj(A, B)=k5_afproj(A, C) <=> r1_aff_4(A, B, C)) ) ) ) ) ) ) ) ).
fof(t13_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_aff_4(B, A) & v1_aff_4(C, A))  =>  (k6_afproj(A, B)=k6_afproj(A, C) <=> r1_aff_4(A, B, C)) ) ) ) ) ) ) ) ).
fof(d7_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  => k7_afproj(A)=k8_eqrel_1(k1_afproj(A), k3_afproj(A))) ) ).
fof(d8_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  => k8_afproj(A)=k8_eqrel_1(k2_afproj(A), k4_afproj(A))) ) ).
fof(t14_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (r2_tarski(B, k7_afproj(A)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) &  (B=k5_afproj(A, C) & v1_aff_1(C, A)) ) ) ) ) ) ) ).
fof(t15_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (r2_tarski(B, k8_afproj(A)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) &  (B=k6_afproj(A, C) & v1_aff_4(C, A)) ) ) ) ) ) ) ).
fof(t16_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  => r1_subset_1(u1_struct_0(A), k7_afproj(A))) ) ).
fof(t17_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  => r1_xboole_0(k1_afproj(A), k8_afproj(A))) ) ) ).
fof(t18_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (r2_tarski(B, k2_zfmisc_1(k1_afproj(A), k1_tarski(1))) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) &  (B=k4_tarski(C, 1) & v1_aff_1(C, A)) ) ) ) ) ) ) ).
fof(t19_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (r2_tarski(B, k2_zfmisc_1(k8_afproj(A), k1_tarski(2))) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) &  (B=k4_tarski(k6_afproj(A, C), 2) & v1_aff_4(C, A)) ) ) ) ) ) ) ).
fof(d9_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  => k9_afproj(A)=k2_xboole_0(u1_struct_0(A), k7_afproj(A))) ) ).
fof(d10_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  => k10_afproj(A)=k2_xboole_0(k2_zfmisc_1(k1_afproj(A), k1_tarski(1)), k2_zfmisc_1(k8_afproj(A), k1_tarski(2)))) ) ).
fof(d11_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_afproj(A), k10_afproj(A)))) =>  (B=k11_afproj(A) <=>  (! [C] :  (! [D] :  (r2_hidden(k4_tarski(C, D), B) <=>  ~ ( ( (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v1_aff_1(E, A) &  (D=k4_tarski(E, 1) &  ( (r2_hidden(C, u1_struct_0(A)) & r2_hidden(C, E))  | C=k5_afproj(A, E)) ) ) ) ) )  &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v1_aff_1(E, A) &  (v1_aff_4(F, A) &  (C=k5_afproj(A, E) &  (D=k4_tarski(k6_afproj(A, F), 2) & r1_aff_4(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k7_afproj(A), k8_afproj(A)))) =>  (B=k12_afproj(A) <=>  (! [C] :  (! [D] :  (r2_hidden(k4_tarski(C, D), B) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) &  (? [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))) &  (C=k5_afproj(A, E) &  (D=k6_afproj(A, F) &  (v1_aff_1(E, A) &  (v1_aff_4(F, A) & r1_aff_4(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  => k13_afproj(A)=g1_incsp_1(k9_afproj(A), k10_afproj(A), k11_afproj(A))) ) ).
fof(d14_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  => k14_afproj(A)=g1_incsp_1(k7_afproj(A), k8_afproj(A), k12_afproj(A))) ) ).
fof(t20_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(k13_afproj(A))) <=>  ~ ( ( ~ (m1_subset_1(B, u1_struct_0(A)))  &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (B=k5_afproj(A, C) & v1_aff_1(C, A)) ) ) ) ) ) ) ) ) ) ).
fof(t21_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(k14_afproj(A))) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) &  (B=k5_afproj(A, C) & v1_aff_1(C, A)) ) ) ) ) ) ) ).
fof(t22_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(k14_afproj(A))) => m1_subset_1(B, u1_incsp_1(k13_afproj(A)))) ) ) ) ).
fof(t23_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(k13_afproj(A))) <=>  ~ ( (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( ~ ( (B=k4_tarski(C, 1) & v1_aff_1(C, A)) )  &  ~ ( (B=k4_tarski(k6_afproj(A, C), 2) & v1_aff_4(C, A)) ) ) ) ) ) ) ) ) ) ).
fof(t24_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(k14_afproj(A))) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) &  (B=k6_afproj(A, C) & v1_aff_4(C, A)) ) ) ) ) ) ) ).
fof(t25_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(k14_afproj(A))) => m1_subset_1(k4_tarski(B, 2), u2_incsp_1(k13_afproj(A)))) ) ) ) ).
fof(t26_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(k13_afproj(A))) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(k13_afproj(A))) =>  ( (B=D & k4_tarski(C, 1)=E)  =>  (r1_incsp_1(k13_afproj(A), D, E) <=>  (v1_aff_1(C, A) & r2_tarski(B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(k13_afproj(A))) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(k13_afproj(A))) =>  ~ ( (B=D &  (k4_tarski(k6_afproj(A, C), 2)=E & r1_incsp_1(k13_afproj(A), D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(k13_afproj(A))) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(k13_afproj(A))) =>  ( (D=k5_afproj(A, C) &  (k4_tarski(B, 1)=E &  (v1_aff_1(C, A) & v1_aff_1(B, A)) ) )  =>  (r1_incsp_1(k13_afproj(A), D, E) <=> r1_aff_4(A, C, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(k13_afproj(A))) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(k13_afproj(A))) =>  ( (D=k5_afproj(A, C) &  (E=k4_tarski(k6_afproj(A, B), 2) &  (v1_aff_1(C, A) & v1_aff_4(B, A)) ) )  =>  (r1_incsp_1(k13_afproj(A), D, E) <=> r1_aff_4(A, C, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(k13_afproj(A))) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(k13_afproj(A))) =>  ( (v1_aff_1(B, A) &  (C=k5_afproj(A, B) & D=k4_tarski(B, 1)) )  => r1_incsp_1(k13_afproj(A), C, D)) ) ) ) ) ) ) ) ) ).
fof(t31_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(k13_afproj(A))) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(k13_afproj(A))) =>  ( (v1_aff_1(B, A) &  (v1_aff_4(C, A) &  (r1_tarski(B, C) &  (D=k5_afproj(A, B) & E=k4_tarski(k6_afproj(A, C), 2)) ) ) )  => r1_incsp_1(k13_afproj(A), D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(k13_afproj(A))) =>  (! [F] :  (m1_subset_1(F, u2_incsp_1(k13_afproj(A))) =>  ( (v1_aff_4(C, A) &  (r1_tarski(B, C) &  (r5_aff_1(A, D, B) &  (E=k5_afproj(A, D) & F=k4_tarski(k6_afproj(A, C), 2)) ) ) )  => r1_incsp_1(k13_afproj(A), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(k13_afproj(A))) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(k13_afproj(A))) =>  ~ ( (D=k4_tarski(k6_afproj(A, B), 2) &  (v1_aff_4(B, A) &  (r1_incsp_1(k13_afproj(A), C, D) & m1_subset_1(C, u1_struct_0(A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(k13_afproj(A))) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(k13_afproj(A))) =>  ( (D=k4_tarski(B, 1) &  (v1_aff_1(B, A) & r1_incsp_1(k13_afproj(A), C, D)) )  =>  (m1_subset_1(C, u1_struct_0(A)) | C=k5_afproj(A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t35_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(k13_afproj(A))) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(k13_afproj(A))) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(k13_afproj(A))) =>  ( (E=k4_tarski(B, 1) &  (v1_aff_1(B, A) &  (r1_incsp_1(k13_afproj(A), D, E) & r1_incsp_1(k13_afproj(A), C, E)) ) )  =>  (C=D |  (m1_subset_1(D, u1_struct_0(A)) | m1_subset_1(C, u1_struct_0(A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(k14_afproj(A))) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(k14_afproj(A))) =>  ( (D=k5_afproj(A, B) &  (E=k6_afproj(A, C) &  (v1_aff_1(B, A) & v1_aff_4(C, A)) ) )  =>  (r1_incsp_1(k14_afproj(A), D, E) <=> r1_aff_4(A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(k14_afproj(A))) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(k13_afproj(A))) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(k14_afproj(A))) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(k13_afproj(A))) =>  ( (C=B & E=k4_tarski(D, 2))  =>  (r1_incsp_1(k14_afproj(A), B, D) <=> r1_incsp_1(k13_afproj(A), C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(k14_afproj(A))) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(k14_afproj(A))) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(k14_afproj(A))) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(k14_afproj(A))) =>  ~ ( (r1_incsp_1(k14_afproj(A), B, D) &  (r1_incsp_1(k14_afproj(A), B, E) &  (r1_incsp_1(k14_afproj(A), C, D) &  (r1_incsp_1(k14_afproj(A), C, E) &  ( ~ (B=C)  &  ~ (D=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(k14_afproj(A))) =>  (? [C] :  (m1_subset_1(C, u1_incsp_1(k14_afproj(A))) &  (? [D] :  (m1_subset_1(D, u1_incsp_1(k14_afproj(A))) &  (? [E] :  (m1_subset_1(E, u1_incsp_1(k14_afproj(A))) &  (r1_incsp_1(k14_afproj(A), C, B) &  (r1_incsp_1(k14_afproj(A), D, B) &  (r1_incsp_1(k14_afproj(A), E, B) &  ( ~ (C=D)  &  ( ~ (D=E)  &  ~ (E=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(k14_afproj(A))) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(k14_afproj(A))) =>  (? [D] :  (m1_subset_1(D, u2_incsp_1(k14_afproj(A))) &  (r1_incsp_1(k14_afproj(A), B, D) & r1_incsp_1(k14_afproj(A), C, D)) ) ) ) ) ) ) ) ) ).
fof(t41_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(k14_afproj(A))) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(k14_afproj(A))) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(k13_afproj(A))) =>  ~ ( ( ~ (B=C)  &  (r2_tarski(k1_domain_1(u1_incsp_1(k14_afproj(A)), u2_incsp_1(k13_afproj(A)), B, D), u3_incsp_1(k13_afproj(A))) &  (r2_tarski(k1_domain_1(u1_incsp_1(k14_afproj(A)), u2_incsp_1(k13_afproj(A)), C, D), u3_incsp_1(k13_afproj(A))) &  (! [E] :  (m1_subset_1(E, u2_incsp_1(k14_afproj(A))) =>  ~ (D=k4_tarski(E, 2)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(k13_afproj(A))) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(k14_afproj(A))) =>  (r2_hidden(k4_tarski(B, k4_tarski(C, 2)), u3_incsp_1(k13_afproj(A))) => m1_subset_1(B, u1_incsp_1(k14_afproj(A)))) ) ) ) ) ) ) ).
fof(t43_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(k13_afproj(A))) =>  (! [F] :  (m1_subset_1(F, u2_incsp_1(k13_afproj(A))) =>  ~ ( (v1_aff_4(C, A) &  (v1_aff_1(B, A) &  (v1_aff_1(D, A) &  (r1_tarski(B, C) &  (r1_tarski(D, C) &  (E=k4_tarski(B, 1) &  (F=k4_tarski(D, 1) &  (! [G] :  (m1_subset_1(G, u1_incsp_1(k13_afproj(A))) =>  ~ ( (r1_incsp_1(k13_afproj(A), G, E) & r1_incsp_1(k13_afproj(A), G, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(k14_afproj(A))) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(k14_afproj(A))) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(k14_afproj(A))) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(k14_afproj(A))) =>  (! [F] :  (m1_subset_1(F, u1_incsp_1(k14_afproj(A))) =>  (! [G] :  (m1_subset_1(G, u2_incsp_1(k14_afproj(A))) =>  (! [H] :  (m1_subset_1(H, u2_incsp_1(k14_afproj(A))) =>  (! [I] :  (m1_subset_1(I, u2_incsp_1(k14_afproj(A))) =>  (! [J] :  (m1_subset_1(J, u2_incsp_1(k14_afproj(A))) =>  ~ ( (r1_incsp_1(k14_afproj(A), B, G) &  (r1_incsp_1(k14_afproj(A), C, G) &  (r1_incsp_1(k14_afproj(A), D, H) &  (r1_incsp_1(k14_afproj(A), E, H) &  (r1_incsp_1(k14_afproj(A), F, G) &  (r1_incsp_1(k14_afproj(A), F, H) &  (r1_incsp_1(k14_afproj(A), B, I) &  (r1_incsp_1(k14_afproj(A), D, I) &  (r1_incsp_1(k14_afproj(A), C, J) &  (r1_incsp_1(k14_afproj(A), E, J) &  ( ~ (r1_incsp_1(k14_afproj(A), F, I))  &  ( ~ (r1_incsp_1(k14_afproj(A), F, J))  &  ( ~ (G=H)  &  (! [K] :  (m1_subset_1(K, u1_incsp_1(k14_afproj(A))) =>  ~ ( (r1_incsp_1(k14_afproj(A), K, I) & r1_incsp_1(k14_afproj(A), K, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (v5_incproj(k13_afproj(A)) =>  ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) ) ) ) ) ).
fof(t46_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  ( ~ ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) ) )  =>  (v6_incsp_1(k14_afproj(A)) &  (v1_incproj(k14_afproj(A)) &  (v2_incproj(k14_afproj(A)) &  (v3_incproj(k14_afproj(A)) &  (v4_incproj(k14_afproj(A)) & l1_incsp_1(k14_afproj(A))) ) ) ) ) ) ) ) ).
fof(t47_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  ~ ( ( (v6_incsp_1(k14_afproj(A)) &  (v1_incproj(k14_afproj(A)) &  (v2_incproj(k14_afproj(A)) &  (v3_incproj(k14_afproj(A)) &  (v4_incproj(k14_afproj(A)) & l1_incsp_1(k14_afproj(A))) ) ) ) )  &  ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) ) ) ) ) ) ).
fof(t48_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  ( (v1_aff_1(B, A) &  (v1_aff_1(C, A) &  (r2_tarski(D, B) &  (r2_tarski(D, C) &  (r2_tarski(F, B) &  (r2_tarski(G, B) &  (r2_tarski(H, C) &  (r2_tarski(I, C) &  (r2_tarski(J, C) &  (r2_analoaf(A, E, I, F, H) & r2_analoaf(A, F, J, G, I)) ) ) ) ) ) ) ) ) )  =>  (B=C |  (D=F |  (D=I |  (D=J |  ( ( ~ (E=F)  &  ( ~ (F=G)  &  ~ (E=G) ) )  | r2_analoaf(A, E, J, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (v10_incproj(k13_afproj(A)) => v2_aff_2(A)) ) ) ).
fof(t50_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  ( (r2_tarski(E, B) &  (r2_tarski(E, C) &  (r2_tarski(E, D) &  (r2_tarski(F, B) &  (r2_tarski(G, C) &  (r2_tarski(J, C) &  (r2_tarski(H, D) &  (r2_tarski(K, D) &  (v1_aff_1(B, A) &  (v1_aff_1(C, A) &  (v1_aff_1(D, A) &  (r2_analoaf(A, F, G, I, J) & r2_analoaf(A, F, H, I, K)) ) ) ) ) ) ) ) ) ) ) )  =>  (E=F |  (E=G |  (E=H |  (B=C |  (B=D |  ( ( ~ (E=I)  &  ~ (F=I) )  | r2_analoaf(A, G, H, J, K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (v9_incproj(k13_afproj(A)) => v4_aff_2(A)) ) ) ).
fof(t52_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (v8_incproj(k13_afproj(A)) => v1_translac(A)) ) ) ).
fof(dt_k1_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  => m1_subset_1(k1_afproj(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k2_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  => m1_subset_1(k2_afproj(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k3_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (v3_relat_2(k3_afproj(A)) &  (v8_relat_2(k3_afproj(A)) &  (v1_partfun1(k3_afproj(A), k1_afproj(A)) & m1_subset_1(k3_afproj(A), k1_zfmisc_1(k2_zfmisc_1(k1_afproj(A), k1_afproj(A))))) ) ) ) ) ).
fof(dt_k4_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (v3_relat_2(k4_afproj(A)) &  (v8_relat_2(k4_afproj(A)) &  (v1_partfun1(k4_afproj(A), k2_afproj(A)) & m1_subset_1(k4_afproj(A), k1_zfmisc_1(k2_zfmisc_1(k2_afproj(A), k2_afproj(A))))) ) ) ) ) ).
fof(dt_k5_afproj, axiom,  (! [A, B] :  ( ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k5_afproj(A, B), k1_zfmisc_1(k1_afproj(A)))) ) ).
fof(dt_k6_afproj, axiom,  (! [A, B] :  ( ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k6_afproj(A, B), k1_zfmisc_1(k2_afproj(A)))) ) ).
fof(dt_k7_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  ~ (v1_xboole_0(k7_afproj(A))) ) ) ).
fof(dt_k8_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  ~ (v1_xboole_0(k8_afproj(A))) ) ) ).
fof(dt_k9_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  ~ (v1_xboole_0(k9_afproj(A))) ) ) ).
fof(dt_k10_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  ~ (v1_xboole_0(k10_afproj(A))) ) ) ).
fof(dt_k11_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  => m1_subset_1(k11_afproj(A), k1_zfmisc_1(k2_zfmisc_1(k9_afproj(A), k10_afproj(A))))) ) ).
fof(dt_k12_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  => m1_subset_1(k12_afproj(A), k1_zfmisc_1(k2_zfmisc_1(k7_afproj(A), k8_afproj(A))))) ) ).
fof(dt_k13_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (v1_incsp_1(k13_afproj(A)) & l1_incsp_1(k13_afproj(A))) ) ) ).
fof(dt_k14_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (v1_incsp_1(k14_afproj(A)) & l1_incsp_1(k14_afproj(A))) ) ) ).
fof(d1_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  => k1_afproj(A)=a_1_0_afproj(A)) ) ).
fof(d2_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  => k2_afproj(A)=a_1_1_afproj(A)) ) ).
fof(d3_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  => k3_afproj(A)=a_1_2_afproj(A)) ) ).
fof(d4_afproj, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  => k4_afproj(A)=a_1_3_afproj(A)) ) ).
fof(fraenkel_a_1_0_afproj, axiom,  (! [A, B] :  ( ( ~ (v7_struct_0(B))  &  (v1_diraf(B) & l1_analoaf(B)) )  =>  (r2_hidden(A, a_1_0_afproj(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) &  (A=C & v1_aff_1(C, B)) ) ) ) ) ) ).
fof(fraenkel_a_1_1_afproj, axiom,  (! [A, B] :  ( ( ~ (v7_struct_0(B))  &  (v1_diraf(B) & l1_analoaf(B)) )  =>  (r2_hidden(A, a_1_1_afproj(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) &  (A=C & v1_aff_4(C, B)) ) ) ) ) ) ).
fof(fraenkel_a_1_2_afproj, axiom,  (! [A, B] :  ( ( ~ (v7_struct_0(B))  &  (v1_diraf(B) & l1_analoaf(B)) )  =>  (r2_hidden(A, a_1_2_afproj(B)) <=>  (? [C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))))  &  (A=k1_domain_1(k1_zfmisc_1(u1_struct_0(B)), k1_zfmisc_1(u1_struct_0(B)), C, D) &  (v1_aff_1(C, B) &  (v1_aff_1(D, B) & r1_aff_4(B, C, D)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_3_afproj, axiom,  (! [A, B] :  ( ( ~ (v7_struct_0(B))  &  (v1_diraf(B) & l1_analoaf(B)) )  =>  (r2_hidden(A, a_1_3_afproj(B)) <=>  (? [C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))))  &  (A=k1_domain_1(k1_zfmisc_1(u1_struct_0(B)), k1_zfmisc_1(u1_struct_0(B)), C, D) &  (v1_aff_4(C, B) &  (v1_aff_4(D, B) & r1_aff_4(B, C, D)) ) ) ) ) ) ) ) ).
fof(rc1_afvect0, axiom,  (? [A] :  (l1_analoaf(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v1_analoaf(A) & v1_afvect0(A)) ) ) ) ) ).
fof(cc1_afvect0, axiom,  (! [A] :  (l1_analoaf(A) =>  ( ( ~ (v2_struct_0(A))  & v2_tdgroup(A))  =>  ( ~ (v2_struct_0(A))  & v1_afvect0(A)) ) ) ) ).
fof(fc1_afvect0, axiom,  (! [A, B] :  ( ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  ( ~ (v2_struct_0(k5_afvect0(A, B)))  & v8_algstr_0(k5_afvect0(A, B))) ) ) ).
fof(fc2_afvect0, axiom,  (! [A, B] :  ( ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v8_algstr_0(k5_afvect0(A, B)) &  (v13_algstr_0(k5_afvect0(A, B)) &  (v2_rlvect_1(k5_afvect0(A, B)) &  (v3_rlvect_1(k5_afvect0(A, B)) & v4_rlvect_1(k5_afvect0(A, B))) ) ) ) ) ) ).
fof(fc3_afvect0, axiom,  (! [A, B] :  ( ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v8_algstr_0(k5_afvect0(A, B)) & v1_tdgroup(k5_afvect0(A, B))) ) ) ).
fof(fc4_afvect0, axiom,  (! [A, B] :  ( ( ( ~ (v7_struct_0(A))  &  (v2_tdgroup(A) & l1_analoaf(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v8_algstr_0(k5_afvect0(A, B)) & v12_vectsp_1(k5_afvect0(A, B))) ) ) ).
fof(rc2_afvect0, axiom,  (? [A] :  (l2_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v8_algstr_0(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v12_vectsp_1(A) & v1_tdgroup(A)) ) ) ) ) ) ) ) ) ) ).
fof(fc5_afvect0, axiom,  (! [A, B] :  ( ( ( ~ (v7_struct_0(A))  &  (v2_tdgroup(A) & l1_analoaf(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  ( ~ (v7_struct_0(k5_afvect0(A, B)))  & v8_algstr_0(k5_afvect0(A, B))) ) ) ).
fof(fc6_afvect0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v12_vectsp_1(A) &  (v1_tdgroup(A) & l2_algstr_0(A)) ) ) ) ) ) ) )  =>  ( ~ (v7_struct_0(k2_tdgroup(A)))  &  (v1_analoaf(k2_tdgroup(A)) & v2_tdgroup(k2_tdgroup(A))) ) ) ) ).
fof(d1_afvect0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_analoaf(A))  =>  (v1_afvect0(A) <=>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_analoaf(A, B, C, D, D) => B=C) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_analoaf(A, B, C, F, G) & r2_analoaf(A, D, E, F, G))  => r2_analoaf(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) & r2_analoaf(A, B, C, D, E)) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_analoaf(A, B, C, E, F) & r2_analoaf(A, B, D, E, G))  => r2_analoaf(A, C, D, F, G)) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & r2_analoaf(A, B, D, D, C)) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_analoaf(A, B, C, D, E) => r2_analoaf(A, B, D, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_analoaf(A, B, C, B, C)) ) ) ) ) ) ).
fof(t2_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r2_analoaf(A, B, B, B, B)) ) ) ) ).
fof(t3_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_analoaf(A, B, C, D, E) => r2_analoaf(A, D, E, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_analoaf(A, B, C, B, D) => C=D) ) ) ) ) ) ) ) ) ).
fof(t5_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_analoaf(A, B, C, D, E) & r2_analoaf(A, B, C, D, F))  => E=F) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_analoaf(A, B, B, C, C)) ) ) ) ) ) ).
fof(t7_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_analoaf(A, B, C, D, E) => r2_analoaf(A, C, B, E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_analoaf(A, B, C, D, E) & r2_analoaf(A, B, D, F, E))  => C=F) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ( (r2_analoaf(A, C, D, F, G) &  (r2_analoaf(A, B, E, C, D) & r2_analoaf(A, B, H, F, G)) )  => E=H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ( (r2_analoaf(A, B, C, F, G) &  (r2_analoaf(A, D, E, C, B) & r2_analoaf(A, D, H, G, F)) )  => E=H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  ( (r2_analoaf(A, B, C, G, H) &  (r2_analoaf(A, D, E, I, J) &  (r2_analoaf(A, C, F, D, E) & r2_analoaf(A, H, K, I, J)) ) )  => r2_analoaf(A, B, F, G, K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_analoaf(A, B, C, E, F) & r2_analoaf(A, B, D, G, F))  => r2_analoaf(A, C, D, G, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_afvect0(A, B, C) <=>  (r2_analoaf(A, B, C, C, B) &  ~ (B=C) ) ) ) ) ) ) ) ) ).
fof(t13_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  ( ~ (B=C)  &  ~ (r1_afvect0(A, B, C)) ) ) ) ) ) ) ) ).
fof(t14_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r1_afvect0(A, B, C) &  (r1_afvect0(A, B, D) &  ( ~ (C=D)  &  ~ (r1_afvect0(A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_afvect0(A, B, C) & r2_analoaf(A, B, C, D, E))  => r1_afvect0(A, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_afvect0(A, B, C, D) <=> r2_analoaf(A, B, C, C, D)) ) ) ) ) ) ) ) ) ).
fof(t16_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_afvect0(A, B, C, D) => r2_afvect0(A, D, C, B)) ) ) ) ) ) ) ) ) ).
fof(t17_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_afvect0(A, B, C, C) <=> B=C) ) ) ) ) ) ) ).
fof(t18_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_afvect0(A, B, C, B) <=>  (B=C | r1_afvect0(A, B, C)) ) ) ) ) ) ) ) ).
fof(t19_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & r2_afvect0(A, B, D, C)) ) ) ) ) ) ) ) ).
fof(t20_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_afvect0(A, B, C, D) &  (r2_afvect0(A, B, E, D) &  ( ~ (C=E)  &  ~ (r1_afvect0(A, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & r2_afvect0(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t22_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r2_afvect0(A, B, C, D) & r2_afvect0(A, B, C, E))  => D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r2_afvect0(A, B, C, D) & r1_afvect0(A, C, E))  => r2_afvect0(A, B, E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_afvect0(A, B, C, D) &  (r2_afvect0(A, B, E, F) & r1_afvect0(A, C, E)) )  => D=F) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_afvect0(A, B, F, D) & r2_afvect0(A, C, F, E))  => r2_analoaf(A, B, C, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_afvect0(A, B, F, D) &  (r2_afvect0(A, C, G, E) & r1_afvect0(A, F, G)) )  => r2_analoaf(A, B, C, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (D=k1_afvect0(A, B, C) <=> r2_afvect0(A, C, B, D)) ) ) ) ) ) ) ) ) ).
fof(t27_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k1_afvect0(A, D, B)=C <=> r2_analoaf(A, B, D, D, C)) ) ) ) ) ) ) ) ) ).
fof(t28_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_afvect0(A, C, B)=B <=>  (B=C | r1_afvect0(A, B, C)) ) ) ) ) ) ) ) ).
fof(t29_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_afvect0(A, C, k1_afvect0(A, C, B))=B) ) ) ) ) ) ).
fof(t30_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k1_afvect0(A, D, B)=k1_afvect0(A, D, C) => B=C) ) ) ) ) ) ) ) ) ).
fof(t31_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & k1_afvect0(A, C, D)=B) ) ) ) ) ) ) ) ).
fof(t32_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r2_analoaf(A, B, C, k1_afvect0(A, D, C), k1_afvect0(A, D, B))) ) ) ) ) ) ) ) ).
fof(t33_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r2_analoaf(A, B, C, D, E) <=> r2_analoaf(A, k1_afvect0(A, F, B), k1_afvect0(A, F, C), k1_afvect0(A, F, D), k1_afvect0(A, F, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_afvect0(A, B, C) <=> r1_afvect0(A, k1_afvect0(A, D, B), k1_afvect0(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t35_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_afvect0(A, B, C, D) <=> r2_afvect0(A, k1_afvect0(A, E, B), k1_afvect0(A, E, C), k1_afvect0(A, E, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k1_afvect0(A, C, B)=k1_afvect0(A, D, B) <=>  (C=D | r1_afvect0(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t37_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_afvect0(A, D, k1_afvect0(A, C, k1_afvect0(A, D, B)))=k1_afvect0(A, k1_afvect0(A, D, C), B)) ) ) ) ) ) ) ) ).
fof(t38_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k1_afvect0(A, C, k1_afvect0(A, D, B))=k1_afvect0(A, D, k1_afvect0(A, C, B)) <=>  ~ ( ( ~ (C=D)  &  ( ~ (r1_afvect0(A, C, D))  &  ~ (r1_afvect0(A, D, k1_afvect0(A, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k1_afvect0(A, C, k1_afvect0(A, D, k1_afvect0(A, E, B)))=k1_afvect0(A, E, k1_afvect0(A, D, k1_afvect0(A, C, B)))) ) ) ) ) ) ) ) ) ) ).
fof(t40_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) & k1_afvect0(A, B, k1_afvect0(A, C, k1_afvect0(A, D, E)))=k1_afvect0(A, F, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) & k1_afvect0(A, B, k1_afvect0(A, E, D))=k1_afvect0(A, E, k1_afvect0(A, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(d5_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (E=k2_afvect0(A, B, C, D) <=> r2_analoaf(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A))))) )  =>  (C=k3_afvect0(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k4_binop_1(u1_struct_0(A), C, D, E)=k2_afvect0(A, B, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (C=k4_afvect0(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(A), C, D)=k1_afvect0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d8_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_afvect0(A, B)=g2_algstr_0(u1_struct_0(A), k3_afvect0(A, B), B)) ) ) ) ).
fof(t42_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (u1_struct_0(k5_afvect0(A, B))=u1_struct_0(A) &  (u1_algstr_0(k5_afvect0(A, B))=k3_afvect0(A, B) & k4_struct_0(k5_afvect0(A, B))=B) ) ) ) ) ) ).
fof(t43_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_afvect0(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_afvect0(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (C=E & D=F)  => k1_algstr_0(k5_afvect0(A, B), C, D)=k4_binop_1(u1_struct_0(A), k3_afvect0(A, B), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_afvect0(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (C=D => k4_algstr_0(k5_afvect0(A, B), C)=k3_funct_2(u1_struct_0(A), u1_struct_0(A), k4_afvect0(A, B), D)) ) ) ) ) ) ) ) ) ).
fof(t45_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k4_struct_0(k5_afvect0(A, B))=B) ) ) ) ).
fof(t46_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_afvect0(A, B))) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(k5_afvect0(A, B))) & k3_rlvect_1(k5_afvect0(A, B), D, D)=C) ) ) ) ) ) ) ) ).
fof(t47_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_tdgroup(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_afvect0(A, B))) =>  (k3_rlvect_1(k5_afvect0(A, B), C, C)=k4_struct_0(k5_afvect0(A, B)) => C=k4_struct_0(k5_afvect0(A, B))) ) ) ) ) ) ) ).
fof(t48_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_tdgroup(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (v2_struct_0(k5_afvect0(A, B)))  &  ( ~ (v7_struct_0(k5_afvect0(A, B)))  &  (v13_algstr_0(k5_afvect0(A, B)) &  (v2_rlvect_1(k5_afvect0(A, B)) &  (v3_rlvect_1(k5_afvect0(A, B)) &  (v4_rlvect_1(k5_afvect0(A, B)) &  (v12_vectsp_1(k5_afvect0(A, B)) &  (v1_tdgroup(k5_afvect0(A, B)) & l2_algstr_0(k5_afvect0(A, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_afvect0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v12_vectsp_1(A) &  (v1_tdgroup(A) & l2_algstr_0(A)) ) ) ) ) ) ) )  =>  ( ~ (v7_struct_0(k2_tdgroup(A)))  &  (v2_tdgroup(k2_tdgroup(A)) & l1_analoaf(k2_tdgroup(A))) ) ) ) ).
fof(t50_afvect0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_analoaf(A) &  (v2_tdgroup(A) & l1_analoaf(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => A=k2_tdgroup(k5_afvect0(A, B))) ) ) ) ).
fof(t51_afvect0, axiom,  (! [A] :  ( (v1_analoaf(A) & l1_analoaf(A))  =>  ( ( ~ (v7_struct_0(A))  &  (v2_tdgroup(A) & l1_analoaf(A)) )  <=>  (? [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v12_vectsp_1(B) &  (v1_tdgroup(B) & l2_algstr_0(B)) ) ) ) ) ) ) )  & A=k2_tdgroup(B)) ) ) ) ) ).
fof(d9_afvect0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_algstr_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (r3_afvect0(A, B, C) <=>  (v2_funct_1(C) &  (k10_xtuple_0(C)=u1_struct_0(B) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k1_algstr_0(A, D, E))=k1_algstr_0(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D), k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, E)) &  (k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k4_struct_0(A))=k4_struct_0(B) & k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k4_algstr_0(A, D))=k4_algstr_0(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_afvect0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_algstr_0(B))  =>  (r4_afvect0(A, B) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  & r3_afvect0(A, B, C)) ) ) ) ) ) ) ).
fof(t52_afvect0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v12_vectsp_1(A) &  (v1_tdgroup(A) & l2_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_tdgroup(A))) =>  ( ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, E)=k3_rlvect_1(A, C, E)) )  & D=C)  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, k3_rlvect_1(A, E, F))=k1_binop_1(k3_afvect0(k2_tdgroup(A), D), k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, E), k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, F)) &  (k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, k4_struct_0(A))=k4_struct_0(k5_afvect0(k2_tdgroup(A), D)) & k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, k4_algstr_0(A, E))=k1_funct_1(k4_afvect0(k2_tdgroup(A), D), k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_afvect0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v12_vectsp_1(A) &  (v1_tdgroup(A) & l2_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, D)=k3_rlvect_1(A, C, D)) )  => v2_funct_1(B)) ) ) ) ) ) ) ).
fof(t54_afvect0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v12_vectsp_1(A) &  (v1_tdgroup(A) & l2_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_tdgroup(A))) =>  ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, E)=k3_rlvect_1(A, C, E)) )  => k10_xtuple_0(B)=u1_struct_0(k5_afvect0(k2_tdgroup(A), D))) ) ) ) ) ) ) ) ) ).
fof(t55_afvect0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v12_vectsp_1(A) &  (v1_tdgroup(A) & l2_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_tdgroup(A))) =>  (C=B => r4_afvect0(A, k5_afvect0(k2_tdgroup(A), C))) ) ) ) ) ) ) ).
fof(symmetry_r1_afvect0, axiom,  (! [A, B, C] :  ( ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r1_afvect0(A, B, C) => r1_afvect0(A, C, B)) ) ) ).
fof(irreflexivity_r1_afvect0, axiom,  (! [A, B, C] :  ( ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  ~ (r1_afvect0(A, B, B)) ) ) ).
fof(dt_k1_afvect0, axiom,  (! [A, B, C] :  ( ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k1_afvect0(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k2_afvect0, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, u1_struct_0(A))) ) )  => m1_subset_1(k2_afvect0(A, B, C, D), u1_struct_0(A))) ) ).
fof(dt_k3_afvect0, axiom,  (! [A, B] :  ( ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k3_afvect0(A, B)) &  (v1_funct_2(k3_afvect0(A, B), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(k3_afvect0(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(dt_k4_afvect0, axiom,  (! [A, B] :  ( ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k4_afvect0(A, B)) &  (v1_funct_2(k4_afvect0(A, B), u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(k4_afvect0(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ).
fof(dt_k5_afvect0, axiom,  (! [A, B] :  ( ( ( ~ (v7_struct_0(A))  &  (v1_afvect0(A) & l1_analoaf(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v8_algstr_0(k5_afvect0(A, B)) & l2_algstr_0(k5_afvect0(A, B))) ) ) ).
fof(fc1_afvect01, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k2_zfmisc_1(A, A)))))  =>  ( ~ (v2_struct_0(g1_analoaf(A, B)))  & v1_analoaf(g1_analoaf(A, B))) ) ) ).
fof(rc1_afvect01, axiom,  (? [A] :  (l1_analoaf(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v1_analoaf(A) & v1_afvect01(A)) ) ) ) ) ).
fof(d1_afvect01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_analoaf(A))  =>  (v1_afvect01(A) <=>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_analoaf(A, B, C, C, B)) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_analoaf(A, B, C, B, B) => B=C) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_analoaf(A, B, C, F, G) & r2_analoaf(A, D, E, F, G))  => r2_analoaf(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & r2_analoaf(A, B, D, D, C)) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_analoaf(A, F, B, F, C) & r2_analoaf(A, F, D, F, E))  =>  (B=C |  (D=E | r2_analoaf(A, B, D, C, E)) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ~ ( ( ~ (B=D)  & r2_analoaf(A, B, C, C, D)) )  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( ( ~ (E=F)  &  (r2_analoaf(A, B, C, E, F) &  (r2_analoaf(A, B, E, E, C) & r2_analoaf(A, B, F, F, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_analoaf(A, B, C, C, G) &  (r2_analoaf(A, C, D, E, F) &  (r2_analoaf(A, C, E, E, D) & r2_analoaf(A, C, F, F, D)) ) )  => r2_analoaf(A, B, D, D, G)) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (B=E)  &  ( ~ (C=D)  &  (r2_analoaf(A, B, C, C, E) &  (r2_analoaf(A, B, D, D, E) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( ( ~ (F=G)  &  (r2_analoaf(A, C, D, F, G) &  (r2_analoaf(A, C, F, F, D) & r2_analoaf(A, C, G, G, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ~ ( (r2_analoaf(A, B, C, E, F) &  (r2_analoaf(A, B, D, G, H) &  (r2_analoaf(A, B, E, E, C) &  (r2_analoaf(A, B, G, G, D) &  (r2_analoaf(A, B, F, F, C) &  (r2_analoaf(A, B, H, H, D) &  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  ~ ( (r2_analoaf(A, C, D, I, J) &  (r2_analoaf(A, C, I, I, D) & r2_analoaf(A, C, J, J, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_afvect01, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect01(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_analoaf(A, B, C, B, C)) ) ) ) ) ) ).
fof(t2_afvect01, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect01(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_analoaf(A, B, C, D, E) => r2_analoaf(A, D, E, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_afvect01, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect01(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_analoaf(A, B, C, D, E) => r2_analoaf(A, B, C, E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_afvect01, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect01(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_analoaf(A, B, C, D, E) => r2_analoaf(A, C, B, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_afvect01, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect01(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_analoaf(A, B, B, C, C)) ) ) ) ) ) ).
fof(t6_afvect01, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect01(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_analoaf(A, B, C, D, D) => B=C) ) ) ) ) ) ) ) ) ).
fof(t7_afvect01, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect01(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_analoaf(A, B, C, E, F) &  (r2_analoaf(A, B, C, C, D) &  (r2_analoaf(A, B, E, E, C) & r2_analoaf(A, B, F, F, C)) ) )  => B=D) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_afvect01, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect01(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_analoaf(A, B, D, B, E) &  (r2_analoaf(A, B, C, B, E) &  ( ~ (C=D)  &  ( ~ (C=E)  &  ~ (D=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_afvect01, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect01(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_afvect01(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  ( ~ (D=E)  &  (r2_analoaf(A, B, C, D, E) &  (r2_analoaf(A, B, D, D, C) & r2_analoaf(A, B, E, E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_afvect01, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect01(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_afvect01(A, B, C, D) <=>  ~ ( ( ~ ( (B=C &  (C=D & B=D) ) )  &  ( ~ ( (B=D & r1_afvect01(A, B, C)) )  &  ~ ( ( ~ (B=D)  & r2_analoaf(A, B, C, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_afvect01, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect01(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  ( ~ (r1_afvect01(A, B, C))  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (B=D)  & r2_analoaf(A, B, C, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_afvect01, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect01(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_afvect01(A, B, C) & r2_analoaf(A, B, C, C, D))  => B=D) ) ) ) ) ) ) ) ) ).
fof(t11_afvect01, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_afvect01(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r1_afvect01(A, B, C) & B=C) ) ) ) ) ) ) ) ).
fof(t1_alg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (B=u1_struct_0(A) => k3_unialg_2(A, B)=u1_unialg_1(A)) ) ) ) ) ).
fof(t2_alg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  => k4_finseqop(u1_struct_0(A), u1_struct_0(B), k6_finseq_1(u1_struct_0(A)), C)=k6_finseq_1(u1_struct_0(B))) ) ) ) ) ) ).
fof(t3_alg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) => k4_finseqop(u1_struct_0(A), u1_struct_0(A), B, k6_partfun1(u1_struct_0(A)))=B) ) ) ) ).
fof(t4_alg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_unialg_1(C) &  (v3_unialg_1(C) &  (v4_unialg_1(C) & l1_unialg_1(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (! [F] :  (m2_finseq_1(F, u1_struct_0(A)) => k4_finseqop(u1_struct_0(B), u1_struct_0(C), k4_finseqop(u1_struct_0(A), u1_struct_0(B), F, D), E)=k4_finseqop(u1_struct_0(A), u1_struct_0(C), F, k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_alg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (r1_alg_1(A, B, C) <=>  (r1_unialg_2(A, B) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(u1_unialg_1(A))) =>  (! [E] :  (m5_margrel1(E, u1_struct_0(A), k1_unialg_2(A)) =>  (! [F] :  (m5_margrel1(F, u1_struct_0(B), k1_unialg_2(B)) =>  ( (E=k1_funct_1(u1_unialg_1(A), D) & F=k1_funct_1(u1_unialg_1(B), D))  =>  (! [G] :  (m2_finseq_1(G, u1_struct_0(A)) =>  (r2_tarski(G, k1_relset_1(k3_finseq_2(u1_struct_0(A)), E)) => k1_funct_1(C, k1_funct_1(E, G))=k1_funct_1(F, k4_finseqop(u1_struct_0(A), u1_struct_0(B), G, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_alg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (r2_alg_1(A, B, C) <=>  (r1_alg_1(A, B, C) & v2_funct_1(C)) ) ) ) ) ) ) ) ).
fof(d3_alg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (r3_alg_1(A, B, C) <=>  (r1_alg_1(A, B, C) & k2_relset_1(u1_struct_0(B), C)=u1_struct_0(B)) ) ) ) ) ) ) ) ).
fof(d4_alg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (r4_alg_1(A, B, C) <=>  (r2_alg_1(A, B, C) & r3_alg_1(A, B, C)) ) ) ) ) ) ) ) ).
fof(d5_alg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (r5_alg_1(A, B) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  & r4_alg_1(A, B, C)) ) ) ) ) ) ) ).
fof(t5_alg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  => r1_alg_1(A, A, k6_partfun1(u1_struct_0(A)))) ) ).
fof(t6_alg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_unialg_1(C) &  (v3_unialg_1(C) &  (v4_unialg_1(C) & l1_unialg_1(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  ( (r1_alg_1(A, B, D) & r1_alg_1(B, C, E))  => r1_alg_1(A, C, k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_alg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (r4_alg_1(A, B, C) <=>  (r1_alg_1(A, B, C) &  (k2_relset_1(u1_struct_0(B), C)=u1_struct_0(B) & v2_funct_1(C)) ) ) ) ) ) ) ) ) ).
fof(t8_alg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (r4_alg_1(A, B, C) =>  (k1_relset_1(u1_struct_0(A), C)=u1_struct_0(A) & k2_relset_1(u1_struct_0(B), C)=u1_struct_0(B)) ) ) ) ) ) ) ) ).
fof(t9_alg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  ( (r4_alg_1(A, B, C) & D=k2_funct_1(C))  => r1_alg_1(B, A, D)) ) ) ) ) ) ) ) ) ).
fof(t10_alg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  ( (r4_alg_1(A, B, C) & D=k2_funct_1(C))  => r4_alg_1(B, A, D)) ) ) ) ) ) ) ) ) ).
fof(t11_alg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_unialg_1(C) &  (v3_unialg_1(C) &  (v4_unialg_1(C) & l1_unialg_1(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  ( (r4_alg_1(A, B, D) & r4_alg_1(B, C, E))  => r4_alg_1(A, C, k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_alg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  => r5_alg_1(A, A)) ) ).
fof(t13_alg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (r5_alg_1(A, B) => r5_alg_1(B, A)) ) ) ) ) ).
fof(t14_alg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_unialg_1(C) &  (v3_unialg_1(C) &  (v4_unialg_1(C) & l1_unialg_1(C)) ) ) )  =>  ( (r5_alg_1(A, B) & r5_alg_1(B, C))  => r5_alg_1(A, C)) ) ) ) ) ) ) ).
fof(d6_alg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (r1_alg_1(A, B, C) =>  (! [D] :  ( (v1_unialg_1(D) & m1_unialg_2(D, B))  =>  (D=k1_alg_1(A, B, C) <=> u1_struct_0(D)=k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, u1_struct_0(A))) ) ) ) ) ) ) ) ) ) ).
fof(t15_alg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (r1_alg_1(A, B, C) => k2_relset_1(u1_struct_0(B), C)=u1_struct_0(k1_alg_1(A, B, C))) ) ) ) ) ) ) ).
fof(t16_alg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_unialg_1(B) &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (r1_alg_1(A, B, C) =>  (r3_alg_1(A, B, C) <=> k1_alg_1(A, B, C)=B) ) ) ) ) ) ) ) ).
fof(d7_alg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (m1_alg_1(B, A) <=>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m5_margrel1(D, u1_struct_0(A), k1_unialg_2(A)) =>  ( (r2_tarski(C, k4_finseq_1(u1_unialg_1(A))) & D=k1_funct_1(u1_unialg_1(A), C))  =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(A)) =>  (! [F] :  (m2_finseq_1(F, u1_struct_0(A)) =>  ( (r2_tarski(E, k1_relset_1(k3_finseq_2(u1_struct_0(A)), D)) &  (r2_tarski(F, k1_relset_1(k3_finseq_2(u1_struct_0(A)), D)) & r2_hidden(k4_tarski(E, F), k3_finseq_3(u1_struct_0(A), B))) )  => r2_hidden(k4_tarski(k1_funct_1(D, E), k1_funct_1(D, F)), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_alg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m1_alg_1(B, A) =>  (! [C] :  (m5_margrel1(C, u1_struct_0(A), k1_unialg_2(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_funct_1(D) &  (v2_margrel1(D) &  (v3_margrel1(D, k8_eqrel_1(u1_struct_0(A), B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(k8_eqrel_1(u1_struct_0(A), B)), k8_eqrel_1(u1_struct_0(A), B))))) ) ) )  =>  (D=k2_alg_1(A, B, C) <=>  (k1_relset_1(k3_finseq_2(k8_eqrel_1(u1_struct_0(A), B)), D)=k4_finseq_2(k18_margrel1(C), k8_eqrel_1(u1_struct_0(A), B)) &  (! [E] :  (m2_finseq_1(E, k8_eqrel_1(u1_struct_0(A), B)) =>  (r2_tarski(E, k1_relset_1(k3_finseq_2(k8_eqrel_1(u1_struct_0(A), B)), D)) =>  (! [F] :  (m2_finseq_1(F, u1_struct_0(A)) =>  (r1_finseq_3(u1_struct_0(A), B, E, F) => k1_funct_1(D, E)=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), B, k1_funct_1(C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_alg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m1_alg_1(B, A) =>  (! [C] :  (m2_finseq_1(C, k4_partfun1(k3_finseq_2(k8_eqrel_1(u1_struct_0(A), B)), k8_eqrel_1(u1_struct_0(A), B))) =>  (C=k3_alg_1(A, B) <=>  (k3_finseq_1(C)=k3_finseq_1(u1_unialg_1(A)) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(C)) =>  (! [E] :  (m5_margrel1(E, u1_struct_0(A), k1_unialg_2(A)) =>  (k1_funct_1(u1_unialg_1(A), D)=E => k1_funct_1(C, D)=k2_alg_1(A, B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_alg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m1_alg_1(B, A) => k4_alg_1(A, B)=g1_unialg_1(k8_eqrel_1(u1_struct_0(A), B), k3_alg_1(A, B))) ) ) ) ).
fof(d11_alg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m1_alg_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k4_alg_1(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k4_alg_1(A, B)))))) )  =>  (C=k5_alg_1(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(k4_alg_1(A, B)), C, D)=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), B, D)) ) ) ) ) ) ) ) ) ).
fof(t17_alg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m1_alg_1(B, A) => r1_alg_1(A, k4_alg_1(A, B), k5_alg_1(A, B))) ) ) ) ).
fof(t18_alg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m1_alg_1(B, A) => r3_alg_1(A, k4_alg_1(A, B), k5_alg_1(A, B))) ) ) ) ).
fof(d12_alg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (r1_alg_1(A, B, C) =>  (! [D] :  (m1_alg_1(D, A) =>  (D=k6_alg_1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r2_hidden(k4_tarski(E, F), D) <=> k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, E)=k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_alg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (r1_alg_1(A, B, C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k4_alg_1(A, k6_alg_1(A, B, C))), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_alg_1(A, k6_alg_1(A, B, C))), u1_struct_0(B))))) )  =>  (D=k7_alg_1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k1_funct_1(D, k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k6_alg_1(A, B, C), E))=k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_alg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (r1_alg_1(A, B, C) =>  (r1_alg_1(k4_alg_1(A, k6_alg_1(A, B, C)), B, k7_alg_1(A, B, C)) & r2_alg_1(k4_alg_1(A, k6_alg_1(A, B, C)), B, k7_alg_1(A, B, C))) ) ) ) ) ) ) ) ).
fof(t20_alg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (r3_alg_1(A, B, C) => r4_alg_1(k4_alg_1(A, k6_alg_1(A, B, C)), B, k7_alg_1(A, B, C))) ) ) ) ) ) ) ).
fof(t21_alg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (r3_alg_1(A, B, C) => r5_alg_1(k4_alg_1(A, k6_alg_1(A, B, C)), B)) ) ) ) ) ) ) ).
fof(dt_k1_alg_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (v1_unialg_1(k1_alg_1(A, B, C)) & m1_unialg_2(k1_alg_1(A, B, C), B)) ) ) ).
fof(dt_m1_alg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m1_alg_1(B, A) =>  (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ) ) ) ).
fof(existence_m1_alg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (? [B] : m1_alg_1(B, A)) ) ) ).
fof(dt_k2_alg_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  &  (m1_alg_1(B, A) & m1_subset_1(C, k1_unialg_2(A))) )  =>  ( ~ (v1_xboole_0(k2_alg_1(A, B, C)))  &  (v1_funct_1(k2_alg_1(A, B, C)) &  (v2_margrel1(k2_alg_1(A, B, C)) &  (v3_margrel1(k2_alg_1(A, B, C), k8_eqrel_1(u1_struct_0(A), B)) & m1_subset_1(k2_alg_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(k8_eqrel_1(u1_struct_0(A), B)), k8_eqrel_1(u1_struct_0(A), B))))) ) ) ) ) ) ).
fof(dt_k3_alg_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  & m1_alg_1(B, A))  => m2_finseq_1(k3_alg_1(A, B), k4_partfun1(k3_finseq_2(k8_eqrel_1(u1_struct_0(A), B)), k8_eqrel_1(u1_struct_0(A), B)))) ) ).
fof(dt_k4_alg_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  & m1_alg_1(B, A))  =>  ( ~ (v2_struct_0(k4_alg_1(A, B)))  &  (v1_unialg_1(k4_alg_1(A, B)) &  (v2_unialg_1(k4_alg_1(A, B)) &  (v3_unialg_1(k4_alg_1(A, B)) &  (v4_unialg_1(k4_alg_1(A, B)) & l1_unialg_1(k4_alg_1(A, B))) ) ) ) ) ) ) ).
fof(dt_k5_alg_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  & m1_alg_1(B, A))  =>  (v1_funct_1(k5_alg_1(A, B)) &  (v1_funct_2(k5_alg_1(A, B), u1_struct_0(A), u1_struct_0(k4_alg_1(A, B))) & m1_subset_1(k5_alg_1(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k4_alg_1(A, B)))))) ) ) ) ).
fof(dt_k6_alg_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  => m1_alg_1(k6_alg_1(A, B, C), A)) ) ).
fof(dt_k7_alg_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (v1_funct_1(k7_alg_1(A, B, C)) &  (v1_funct_2(k7_alg_1(A, B, C), u1_struct_0(k4_alg_1(A, k6_alg_1(A, B, C))), u1_struct_0(B)) & m1_subset_1(k7_alg_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_alg_1(A, k6_alg_1(A, B, C))), u1_struct_0(B))))) ) ) ) ).
fof(rd1_algnum_1, axiom,  (! [A] :  (v1_xcmplx_0(A) => k9_struct_0(A, k1_complfld)=A) ) ).
fof(cc1_algnum_1, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v1_rat_1(A))  =>  (v1_xcmplx_0(A) & v1_algnum_1(A)) ) ) ).
fof(rc1_algnum_1, axiom,  (? [A] :  (v1_xcmplx_0(A) & v1_algnum_1(A)) ) ).
fof(rc2_algnum_1, axiom,  (? [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) &  (v2_algstr_0(A, k1_complfld) &  (v3_algstr_0(A, k1_complfld) &  (v4_algstr_0(A, k1_complfld) &  (v9_algstr_0(A, k1_complfld) &  (v10_algstr_0(A, k1_complfld) &  (v11_algstr_0(A, k1_complfld) &  (v1_xcmplx_0(A) &  ( ~ (v5_ring_2(A, k1_complfld))  & v1_algnum_1(A)) ) ) ) ) ) ) ) ) ) ).
fof(cc2_algnum_1, axiom,  (! [A] :  ( (v1_int_1(A) & v1_xcmplx_0(A))  =>  (v1_xcmplx_0(A) & v2_algnum_1(A)) ) ) ).
fof(rc3_algnum_1, axiom,  (? [A] :  (v1_xcmplx_0(A) & v2_algnum_1(A)) ) ).
fof(rc4_algnum_1, axiom,  (? [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) &  (v2_algstr_0(A, k1_complfld) &  (v3_algstr_0(A, k1_complfld) &  (v4_algstr_0(A, k1_complfld) &  (v9_algstr_0(A, k1_complfld) &  (v10_algstr_0(A, k1_complfld) &  (v11_algstr_0(A, k1_complfld) &  (v1_xcmplx_0(A) &  ( ~ (v5_ring_2(A, k1_complfld))  & v2_algnum_1(A)) ) ) ) ) ) ) ) ) ) ).
fof(fc1_algnum_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (v1_funct_1(k6_algnum_1(k11_gaussint, k1_complfld, A)) &  (v1_funct_2(k6_algnum_1(k11_gaussint, k1_complfld, A), u1_struct_0(k13_polynom3(k11_gaussint)), u1_struct_0(k1_complfld)) &  (v13_vectsp_1(k6_algnum_1(k11_gaussint, k1_complfld, A), k13_polynom3(k11_gaussint), k1_complfld) &  (v6_group_1(k6_algnum_1(k11_gaussint, k1_complfld, A), k13_polynom3(k11_gaussint), k1_complfld) & v1_group_6(k6_algnum_1(k11_gaussint, k1_complfld, A), k13_polynom3(k11_gaussint), k1_complfld)) ) ) ) ) ) ).
fof(fc2_algnum_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  ~ (v1_xboole_0(k7_algnum_1(A))) ) ) ).
fof(fc3_algnum_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  ( ~ (v2_struct_0(k10_algnum_1(A)))  &  (v13_algstr_0(k10_algnum_1(A)) &  (v36_algstr_0(k10_algnum_1(A)) &  (v2_rlvect_1(k10_algnum_1(A)) &  (v3_rlvect_1(k10_algnum_1(A)) &  (v4_rlvect_1(k10_algnum_1(A)) &  (v4_vectsp_1(k10_algnum_1(A)) &  (v5_vectsp_1(k10_algnum_1(A)) & v3_group_1(k10_algnum_1(A))) ) ) ) ) ) ) ) ) ) ).
fof(fc4_algnum_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  ( ~ (v2_struct_0(k10_algnum_1(A)))  &  ( ~ (v6_struct_0(k10_algnum_1(A)))  &  (v36_algstr_0(k10_algnum_1(A)) &  (v5_group_1(k10_algnum_1(A)) & v1_vectsp_2(k10_algnum_1(A))) ) ) ) ) ) ).
fof(t1_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) )  =>  ( (m1_c0sp1(A, B) & m1_c0sp1(B, C))  => m1_c0sp1(A, C)) ) ) ) ) ) ) ).
fof(t2_algnum_1, axiom, m1_ec_pf_1(k11_gaussint, k1_complfld)).
fof(t3_algnum_1, axiom, m1_c0sp1(k11_gaussint, k1_complfld)).
fof(t4_algnum_1, axiom, m1_c0sp1(k1_int_3, k1_complfld)).
fof(t5_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (m1_c0sp1(A, B) &  (C=E & D=F) )  => k3_rlvect_1(B, C, D)=k3_rlvect_1(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (m1_c0sp1(A, B) &  (C=E & D=F) )  => k6_algstr_0(B, C, D)=k6_algstr_0(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (E=k1_algnum_1(A, B, C, D) <=>  (? [F] :  (m2_finseq_1(F, u1_struct_0(B)) &  (E=k4_rlvect_1(B, F) &  (k3_finseq_1(F)=k1_algseq_1(A, C) &  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  (r2_tarski(G, k4_finseq_1(F)) => k1_funct_1(F, G)=k6_algstr_0(B, k9_struct_0(k8_nat_1(u1_struct_0(A), C, k7_nat_d(G, 1)), B), k9_nat_1(u1_struct_0(B), k4_group_1(B), D, k7_nat_d(G, 1)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_algnum_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (m1_c0sp1(B, C) => k9_nat_1(u1_struct_0(C), k4_group_1(C), k9_struct_0(D, C), A)=k9_struct_0(k9_nat_1(u1_struct_0(B), k4_group_1(B), D, A), C)) ) ) ) ) ) ) ) ) ).
fof(t8_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (m1_c0sp1(A, B) => k3_rlvect_1(B, k9_struct_0(C, B), k9_struct_0(D, B))=k9_struct_0(k3_rlvect_1(A, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t9_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (m1_c0sp1(A, B) => k6_algstr_0(B, k9_struct_0(C, B), k9_struct_0(D, B))=k9_struct_0(k6_algstr_0(A, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t10_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(B)) =>  ( (m1_c0sp1(A, B) & C=D)  => k9_struct_0(k4_rlvect_1(A, C), B)=k4_rlvect_1(B, D)) ) ) ) ) ) ) ) ) ).
fof(t11_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(E, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (m1_c0sp1(A, B) => k6_algstr_0(B, k9_struct_0(k8_nat_1(u1_struct_0(A), E, k7_nat_d(C, 1)), B), k9_nat_1(u1_struct_0(B), k4_group_1(B), k9_struct_0(D, B), k7_nat_d(C, 1)))=k9_struct_0(k6_algstr_0(A, k8_nat_1(u1_struct_0(A), E, k7_nat_d(C, 1)), k9_nat_1(u1_struct_0(A), k4_group_1(A), D, k7_nat_d(C, 1))), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (m1_c0sp1(A, B) => k1_algnum_1(A, B, D, k9_struct_0(C, B))=k9_struct_0(k2_polynom4(A, D, C), B)) ) ) ) ) ) ) ) ) ).
fof(t13_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k1_algnum_1(A, B, k9_polynom3(A), C)=k4_struct_0(B)) ) ) ) ) ) ).
fof(t14_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (m1_c0sp1(A, B) => k1_algnum_1(A, B, k10_polynom3(A), C)=k5_struct_0(B)) ) ) ) ) ) ) ).
fof(t15_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(E, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (m1_c0sp1(A, B) => k1_algnum_1(A, B, k8_polynom3(A, D, E), C)=k3_rlvect_1(B, k1_algnum_1(A, B, D, C), k1_algnum_1(A, B, E, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (m1_c0sp1(A, B) =>  (r1_xxreal_0(k1_algseq_1(A, C), k5_numbers) |  (r1_xxreal_0(k1_algseq_1(A, D), k5_numbers) |  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => k1_algnum_1(A, B, k11_polynom3(A, k1_polynom4(A, C), k1_polynom4(A, D)), E)=k6_algstr_0(B, k9_struct_0(k6_algstr_0(A, k8_nat_1(u1_struct_0(A), C, k7_nat_d(k1_algseq_1(A, C), 1)), k8_nat_1(u1_struct_0(A), D, k7_nat_d(k1_algseq_1(A, D), 1))), B), k9_nat_1(u1_struct_0(B), k4_group_1(B), E, k7_nat_d(k1_nat_1(k1_algseq_1(A, C), k1_algseq_1(A, D)), 2)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (m1_c0sp1(A, B) => k1_algnum_1(A, B, k1_polynom4(A, C), D)=k6_algstr_0(B, k9_struct_0(k8_nat_1(u1_struct_0(A), C, k7_nat_d(k1_algseq_1(A, C), 1)), B), k9_nat_1(u1_struct_0(B), k4_group_1(B), D, k7_nat_d(k1_algseq_1(A, C), 1)))) ) ) ) ) ) ) ) ) ).
fof(t18_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (m1_c0sp1(A, B) => k1_algnum_1(A, B, k11_polynom3(A, k1_polynom4(A, C), k1_polynom4(A, D)), E)=k8_group_1(B, k1_algnum_1(A, B, k1_polynom4(A, C), E), k1_algnum_1(A, B, k1_polynom4(A, D), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (m1_c0sp1(A, B) => k1_algnum_1(A, B, k11_polynom3(A, k1_polynom4(A, C), D), E)=k8_group_1(B, k1_algnum_1(A, B, k1_polynom4(A, C), E), k1_algnum_1(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (m1_c0sp1(A, B) => k1_algnum_1(A, B, k11_polynom3(A, C, D), E)=k8_group_1(B, k1_algnum_1(A, B, C, E), k1_algnum_1(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (m1_c0sp1(A, B) => k1_algnum_1(A, B, k2_algseq_1(A, D), C)=k9_struct_0(D, B)) ) ) ) ) ) ) ) ) ).
fof(t22_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (m1_c0sp1(A, B) => k1_algnum_1(A, B, k5_polynom5(A, D, E), C)=k3_rlvect_1(B, k9_struct_0(D, B), k6_algstr_0(B, k9_struct_0(E, B), C))) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (r1_algnum_1(A, B, C) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  &  (k2_ratfunc1(A, D)=k5_struct_0(A) & k1_algnum_1(A, B, D, C)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ).
fof(t23_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (m1_c0sp1(B, A) => r1_algnum_1(B, A, k9_struct_0(C, A))) ) ) ) ) ) ) ).
fof(d4_algnum_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (v1_algnum_1(A) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) &  (B=A & r1_algnum_1(k11_gaussint, k1_complfld, B)) ) ) ) ) ) ).
fof(d5_algnum_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (v1_algnum_1(A) <=> r1_algnum_1(k11_gaussint, k1_complfld, A)) ) ) ).
fof(d6_algnum_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (v2_algnum_1(A) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) &  (B=A & r1_algnum_1(k1_int_3, k1_complfld, B)) ) ) ) ) ) ).
fof(d7_algnum_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (v2_algnum_1(A) <=> r1_algnum_1(k1_int_3, k1_complfld, A)) ) ) ).
fof(t24_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k13_polynom3(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k13_polynom3(A))) =>  ( (m1_c0sp1(A, B) &  (r2_tarski(D, k3_algnum_1(A, B, C)) & r2_tarski(E, k3_algnum_1(A, B, C))) )  => r2_tarski(k3_rlvect_1(k13_polynom3(A), D, E), k3_algnum_1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k13_polynom3(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k13_polynom3(A))) =>  ( (m1_c0sp1(A, B) & r2_tarski(E, k3_algnum_1(A, B, C)))  => r2_tarski(k6_algstr_0(k13_polynom3(A), D, E), k3_algnum_1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k13_polynom3(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k13_polynom3(A))) =>  ( (m1_c0sp1(A, B) & r2_tarski(E, k3_algnum_1(A, B, C)))  => r2_tarski(k6_algstr_0(k13_polynom3(A), E, D), k3_algnum_1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (m1_c0sp1(A, B) =>  ( ~ (v1_xboole_0(k3_algnum_1(A, B, C)))  &  (v1_subset_1(k3_algnum_1(A, B, C), u1_struct_0(k13_polynom3(A))) &  (v1_ideal_1(k3_algnum_1(A, B, C), k13_polynom3(A)) &  (v2_ideal_1(k3_algnum_1(A, B, C), k13_polynom3(A)) &  (v3_ideal_1(k3_algnum_1(A, B, C), k13_polynom3(A)) & m1_subset_1(k3_algnum_1(A, B, C), k1_zfmisc_1(u1_struct_0(k13_polynom3(A))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  ~ ( (m1_c0sp1(A, B) &  (! [D] :  (m1_subset_1(D, u1_struct_0(k13_polynom3(A))) =>  ~ (k7_ideal_1(k13_polynom3(A), k1_ring_4(k13_polynom3(A), D))=k3_algnum_1(A, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  ~ ( (r1_algnum_1(A, B, C) & k3_algnum_1(A, B, C)=k1_ring_4(k13_polynom3(A), k4_struct_0(k13_polynom3(A)))) ) ) ) ) ) ) ) ).
fof(t30_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) =>  ( ~ (B=k9_polynom3(A))  =>  (v1_uproots(B, A) & m1_ring_4(B, A, u1_struct_0(k13_polynom3(A)))) ) ) ) ) ) ).
fof(t31_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (m1_c0sp1(A, B) => v1_ring_1(k3_algnum_1(A, B, C), k13_polynom3(A))) ) ) ) ) ) ) ).
fof(t32_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  ( (m1_c0sp1(A, B) & r1_algnum_1(A, B, C))  => v2_ring_1(k3_algnum_1(A, B, C), k13_polynom3(A))) ) ) ) ) ) ) ).
fof(t33_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  ~ ( (m1_c0sp1(A, B) &  (r1_algnum_1(A, B, C) &  (! [D] :  (m1_subset_1(D, u1_struct_0(k13_polynom3(A))) =>  ~ ( ( ~ (D=k9_polynom3(A))  &  (k7_ideal_1(k13_polynom3(A), k1_ring_4(k13_polynom3(A), D))=k3_algnum_1(A, B, C) & D=k3_ring_4(A, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k13_polynom3(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k13_polynom3(A))) =>  ( (r1_algnum_1(A, B, C) &  (k7_ideal_1(k13_polynom3(A), k1_ring_4(k13_polynom3(A), D))=k3_algnum_1(A, B, C) &  (D=k3_ring_4(A, D) &  (k7_ideal_1(k13_polynom3(A), k1_ring_4(k13_polynom3(A), E))=k3_algnum_1(A, B, C) & E=k3_ring_4(A, E)) ) ) )  => D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  ( (m1_c0sp1(A, B) & r1_algnum_1(A, B, C))  =>  (! [D] :  (m1_ring_4(D, A, u1_struct_0(k13_polynom3(A))) =>  (D=k4_algnum_1(A, B, C) <=>  ( ~ (D=k9_polynom3(A))  &  (k7_ideal_1(k13_polynom3(A), k1_ring_4(k13_polynom3(A), D))=k3_algnum_1(A, B, C) & r8_pboole(k4_ordinal1, D, k3_ring_4(A, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  ( (m1_c0sp1(A, B) & r1_algnum_1(A, B, C))  => k5_algnum_1(A, B, C)=k2_hurwitz(A, k4_algnum_1(A, B, C))) ) ) ) ) ) ) ).
fof(d11_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k13_polynom3(A)), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k13_polynom3(A)), u1_struct_0(B))))) )  =>  (D=k6_algnum_1(A, B, C) <=>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(E, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => k1_funct_1(D, E)=k1_algnum_1(A, B, E, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_algnum_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) => v3_ring_2(k1_complfld, k13_polynom3(k11_gaussint))) ) ).
fof(t36_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (r2_hidden(D, k2_relset_1(u1_struct_0(B), k6_algnum_1(A, B, C))) => r1_struct_0(B, D)) ) ) ) ) ) ) ) ).
fof(d12_algnum_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) => k7_algnum_1(A)=k2_relset_1(u1_struct_0(k1_complfld), k6_algnum_1(k11_gaussint, k1_complfld, A))) ) ).
fof(t37_algnum_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_complfld)) =>  ( (r2_tarski(B, k7_algnum_1(A)) & r2_tarski(C, k7_algnum_1(A)))  => r2_tarski(k3_rlvect_1(k1_complfld, B, C), k7_algnum_1(A))) ) ) ) ) ) ) ).
fof(t38_algnum_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_complfld)) =>  ( (r2_tarski(B, k7_algnum_1(A)) & r2_tarski(C, k7_algnum_1(A)))  => r2_tarski(k8_group_1(k1_complfld, B, C), k7_algnum_1(A))) ) ) ) ) ) ) ).
fof(t39_algnum_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k11_gaussint)) => r2_tarski(B, k7_algnum_1(A))) ) ) ) ).
fof(d13_algnum_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) => k8_algnum_1(A)=k1_realset1(k3_binop_2, k7_algnum_1(A))) ) ).
fof(d14_algnum_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) => k9_algnum_1(A)=k1_realset1(k5_binop_2, k7_algnum_1(A))) ) ).
fof(t40_algnum_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k1_complfld), k7_algnum_1(A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(k1_complfld), k7_algnum_1(A)) => k4_binop_1(k7_algnum_1(A), k8_algnum_1(A), B, C)=k3_rlvect_1(k1_complfld, B, C)) ) ) ) ) ) ).
fof(t41_algnum_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k1_complfld), k7_algnum_1(A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(k1_complfld), k7_algnum_1(A)) => k4_binop_1(k7_algnum_1(A), k9_algnum_1(A), B, C)=k8_group_1(k1_complfld, B, C)) ) ) ) ) ) ).
fof(t42_algnum_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) => k10_subset_1(k5_struct_0(k1_complfld), k7_algnum_1(A))=k5_struct_0(k1_complfld)) ) ).
fof(t43_algnum_1, axiom, k9_struct_0(k4_algstr_0(k11_gaussint, k5_struct_0(k11_gaussint)), k1_complfld)=k4_algstr_0(k1_complfld, k5_struct_0(k1_complfld))).
fof(d15_algnum_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) => k10_algnum_1(A)=g6_algstr_0(k7_algnum_1(A), k8_algnum_1(A), k9_algnum_1(A), k10_subset_1(k5_struct_0(k1_complfld), k7_algnum_1(A)), k10_subset_1(k4_struct_0(k1_complfld), k7_algnum_1(A)))) ) ).
fof(t44_algnum_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  ( ~ (v2_struct_0(k10_algnum_1(A)))  &  (v13_algstr_0(k10_algnum_1(A)) &  (v2_rlvect_1(k10_algnum_1(A)) &  (v3_rlvect_1(k10_algnum_1(A)) &  (v4_rlvect_1(k10_algnum_1(A)) &  (v4_vectsp_1(k10_algnum_1(A)) &  (v5_vectsp_1(k10_algnum_1(A)) &  (v3_group_1(k10_algnum_1(A)) & l6_algstr_0(k10_algnum_1(A))) ) ) ) ) ) ) ) ) ) ).
fof(t45_algnum_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (r1_tarski(k2_zfmisc_1(k3_numbers, k3_numbers), k8_mcart_1(u1_struct_0(k1_complfld), u1_struct_0(k1_complfld), k7_algnum_1(A), k7_algnum_1(A))) & r1_relset_1(u1_struct_0(k1_complfld), u1_struct_0(k1_complfld), k8_mcart_1(u1_struct_0(k1_complfld), u1_struct_0(k1_complfld), k7_algnum_1(A), k7_algnum_1(A)), k2_zfmisc_1(k2_numbers, k2_numbers))) ) ) ).
fof(t46_algnum_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) => u1_algstr_0(k11_gaussint)=k1_realset1(u1_algstr_0(k10_algnum_1(A)), k3_numbers)) ) ).
fof(t47_algnum_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) => u2_algstr_0(k11_gaussint)=k1_realset1(u2_algstr_0(k10_algnum_1(A)), k3_numbers)) ) ).
fof(t48_algnum_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) => m1_c0sp1(k11_gaussint, k10_algnum_1(A))) ) ).
fof(t49_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k13_polynom3(A))) =>  (v2_ring_1(k7_ideal_1(k13_polynom3(A), k1_ring_4(k13_polynom3(A), B)), k13_polynom3(A)) =>  (B=k4_struct_0(k13_polynom3(A)) |  (r2_tarski(C, k7_ideal_1(k13_polynom3(A), k1_ring_4(k13_polynom3(A), B))) | k7_ideal_1(k13_polynom3(A), k7_domain_1(u1_struct_0(k13_polynom3(A)), B, C))=u1_struct_0(k13_polynom3(A))) ) ) ) ) ) ) ) ) ).
fof(t50_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k13_polynom3(A))) =>  (v2_ring_1(k7_ideal_1(k13_polynom3(A), k1_ring_4(k13_polynom3(A), B)), k13_polynom3(A)) =>  (B=k4_struct_0(k13_polynom3(A)) |  (r2_tarski(C, k7_ideal_1(k13_polynom3(A), k1_ring_4(k13_polynom3(A), B))) | r4_ideal_1(k13_polynom3(A), k7_ideal_1(k13_polynom3(A), k1_ring_4(k13_polynom3(A), B)), k7_ideal_1(k13_polynom3(A), k1_ring_4(k13_polynom3(A), C)))) ) ) ) ) ) ) ) ) ).
fof(t51_algnum_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k10_algnum_1(A))) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(k13_polynom3(k11_gaussint))) & B=k3_funct_2(u1_struct_0(k13_polynom3(k11_gaussint)), u1_struct_0(k1_complfld), k6_algnum_1(k11_gaussint, k1_complfld, A), C)) ) ) ) ) ) ).
fof(t52_algnum_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  ~ ( ( ~ (B=k4_struct_0(k1_complfld))  &  (r2_tarski(B, u1_struct_0(k10_algnum_1(A))) &  (! [C] :  (m1_subset_1(C, u1_struct_0(k13_polynom3(k11_gaussint))) =>  ~ ( ( ~ (r2_tarski(C, k3_algnum_1(k11_gaussint, k1_complfld, A)))  & B=k3_funct_2(u1_struct_0(k13_polynom3(k11_gaussint)), u1_struct_0(k1_complfld), k6_algnum_1(k11_gaussint, k1_complfld, A), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_algnum_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  ~ ( (v1_algnum_1(A) &  ( ~ (B=k4_struct_0(k1_complfld))  &  (r2_tarski(B, u1_struct_0(k10_algnum_1(A))) &  (! [C] :  (m1_subset_1(C, u1_struct_0(k13_polynom3(k11_gaussint))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k13_polynom3(k11_gaussint))) =>  ~ ( (k7_ideal_1(k13_polynom3(k11_gaussint), k1_ring_4(k13_polynom3(k11_gaussint), C))=k3_algnum_1(k11_gaussint, k1_complfld, A) &  ( ~ (r2_tarski(D, k3_algnum_1(k11_gaussint, k1_complfld, A)))  &  (B=k3_funct_2(u1_struct_0(k13_polynom3(k11_gaussint)), u1_struct_0(k1_complfld), k6_algnum_1(k11_gaussint, k1_complfld, A), D) & r4_ideal_1(k13_polynom3(k11_gaussint), k7_ideal_1(k13_polynom3(k11_gaussint), k1_ring_4(k13_polynom3(k11_gaussint), C)), k7_ideal_1(k13_polynom3(k11_gaussint), k1_ring_4(k13_polynom3(k11_gaussint), D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_algnum_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  ~ ( (v1_algnum_1(A) &  ( ~ (B=k4_struct_0(k1_complfld))  &  (r2_tarski(B, u1_struct_0(k10_algnum_1(A))) &  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_complfld)) =>  ~ ( (r2_tarski(C, u1_struct_0(k10_algnum_1(A))) & k8_group_1(k1_complfld, B, C)=k5_struct_0(k1_complfld)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_algnum_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (v1_algnum_1(A) =>  ( ~ (v2_struct_0(k10_algnum_1(A)))  &  ( ~ (v6_struct_0(k10_algnum_1(A)))  &  (v13_algstr_0(k10_algnum_1(A)) &  (v33_algstr_0(k10_algnum_1(A)) &  (v2_rlvect_1(k10_algnum_1(A)) &  (v3_rlvect_1(k10_algnum_1(A)) &  (v4_rlvect_1(k10_algnum_1(A)) &  (v4_vectsp_1(k10_algnum_1(A)) &  (v5_vectsp_1(k10_algnum_1(A)) &  (v3_group_1(k10_algnum_1(A)) &  (v5_group_1(k10_algnum_1(A)) & l6_algstr_0(k10_algnum_1(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_algnum_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  & m1_subset_1(D, u1_struct_0(B))) ) )  => m1_subset_1(k1_algnum_1(A, B, C, D), u1_struct_0(B))) ) ).
fof(dt_k2_algnum_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k2_algnum_1(A, B)))  & m1_subset_1(k2_algnum_1(A, B), k1_zfmisc_1(u1_struct_0(B)))) ) ) ).
fof(dt_k3_algnum_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  & m1_subset_1(C, u1_struct_0(B))) )  =>  ( ~ (v1_xboole_0(k3_algnum_1(A, B, C)))  & m1_subset_1(k3_algnum_1(A, B, C), k1_zfmisc_1(u1_struct_0(k13_polynom3(A))))) ) ) ).
fof(dt_k4_algnum_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(C, u1_struct_0(B))) )  => m1_ring_4(k4_algnum_1(A, B, C), A, u1_struct_0(k13_polynom3(A)))) ) ).
fof(dt_k5_algnum_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(C, u1_struct_0(B))) )  => m1_subset_1(k5_algnum_1(A, B, C), k4_ordinal1)) ) ).
fof(dt_k6_algnum_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  & m1_subset_1(C, u1_struct_0(B))) )  =>  (v1_funct_1(k6_algnum_1(A, B, C)) &  (v1_funct_2(k6_algnum_1(A, B, C), u1_struct_0(k13_polynom3(A)), u1_struct_0(B)) & m1_subset_1(k6_algnum_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k13_polynom3(A)), u1_struct_0(B))))) ) ) ) ).
fof(dt_k7_algnum_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) => m1_subset_1(k7_algnum_1(A), k1_zfmisc_1(u1_struct_0(k1_complfld)))) ) ).
fof(dt_k8_algnum_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (v1_funct_1(k8_algnum_1(A)) &  (v1_funct_2(k8_algnum_1(A), k2_zfmisc_1(k7_algnum_1(A), k7_algnum_1(A)), k7_algnum_1(A)) & m1_subset_1(k8_algnum_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k7_algnum_1(A), k7_algnum_1(A)), k7_algnum_1(A))))) ) ) ) ).
fof(dt_k9_algnum_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (v1_funct_1(k9_algnum_1(A)) &  (v1_funct_2(k9_algnum_1(A), k2_zfmisc_1(k7_algnum_1(A), k7_algnum_1(A)), k7_algnum_1(A)) & m1_subset_1(k9_algnum_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k7_algnum_1(A), k7_algnum_1(A)), k7_algnum_1(A))))) ) ) ) ).
fof(dt_k10_algnum_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  ( ~ (v2_struct_0(k10_algnum_1(A)))  &  (v36_algstr_0(k10_algnum_1(A)) & l6_algstr_0(k10_algnum_1(A))) ) ) ) ).
fof(d3_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (m1_c0sp1(A, B) => k2_algnum_1(A, B)=a_2_0_algnum_1(A, B)) ) ) ) ) ).
fof(d8_algnum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k3_algnum_1(A, B, C)=a_3_0_algnum_1(A, B, C)) ) ) ) ) ) ).
fof(fraenkel_a_2_0_algnum_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (r2_hidden(A, a_2_0_algnum_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(C)) &  (A=D & r1_algnum_1(B, C, D)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_algnum_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) )  & m1_subset_1(D, u1_struct_0(C))) )  =>  (r2_hidden(A, a_3_0_algnum_1(B, C, D)) <=>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(E, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) )  &  (A=E & k1_algnum_1(B, C, E, D)=k4_struct_0(C)) ) ) ) ) ) ).
fof(rc1_algseq_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & v1_polynom1(B, A)) ) ) ) ) ) ) ) ) ).
fof(d1_algseq_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_polynom1(B, A) <=>  (? [C] :  (v7_ordinal1(C) &  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(C, D) => k1_funct_1(B, D)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ).
fof(d2_algseq_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (r1_algseq_1(A, B, C) <=>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(C, D) => k1_funct_1(B, D)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ).
fof(d3_algseq_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (C=k1_algseq_1(A, B) <=>  (r1_algseq_1(A, B, C) &  (! [D] :  (v7_ordinal1(D) =>  (r1_algseq_1(A, B, D) => r1_xxreal_0(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_algseq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) )  =>  (r1_xxreal_0(k1_algseq_1(B, C), A) => k1_funct_1(C, A)=k4_struct_0(B)) ) ) ) ) ) ) ).
fof(t9_algseq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) )  =>  ( (! [D] :  (v7_ordinal1(D) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  & k1_funct_1(C, D)=k4_struct_0(B)) ) ) )  => r1_xxreal_0(A, k1_algseq_1(B, C))) ) ) ) ) ) ) ).
fof(t10_algseq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) )  =>  ~ ( (k1_algseq_1(B, C)=k1_nat_1(A, 1) & k1_funct_1(C, A)=k4_struct_0(B)) ) ) ) ) ) ) ) ).
fof(t12_algseq_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ( (k1_algseq_1(A, B)=k1_algseq_1(A, C) &  (! [D] :  (v7_ordinal1(D) =>  ( ~ (r1_xxreal_0(k1_algseq_1(A, B), D))  => k1_funct_1(B, D)=k1_funct_1(C, D)) ) ) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), B, C)) ) ) ) ) ) ) ).
fof(t13_algseq_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  ( ~ (u1_struct_0(A)=k1_tarski(k4_struct_0(A)))  =>  (! [B] :  (v7_ordinal1(B) =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  & k1_algseq_1(A, C)=B) ) ) ) ) ) ) ).
fof(d5_algseq_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (C=k2_algseq_1(A, B) <=>  (r1_xxreal_0(k1_algseq_1(A, C), 1) & k3_funct_2(k4_ordinal1, u1_struct_0(A), C, k5_numbers)=B) ) ) ) ) ) ) ) ).
fof(t14_algseq_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (r2_funct_2(k4_ordinal1, u1_struct_0(A), B, k2_algseq_1(A, k4_struct_0(A))) <=> k1_algseq_1(A, B)=k5_numbers) ) ) ) ) ).
fof(t16_algseq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  => k1_funct_1(k2_algseq_1(B, k4_struct_0(B)), A)=k4_struct_0(B)) ) ) ) ).
fof(t17_algseq_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (r2_funct_2(k4_ordinal1, u1_struct_0(A), B, k2_algseq_1(A, k4_struct_0(A))) <=> k10_xtuple_0(B)=k1_tarski(k4_struct_0(A))) ) ) ) ) ).
fof(s1_algseq_1, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(f1_s1_algseq_1)) &  (v1_polynom1(A, f1_s1_algseq_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(f1_s1_algseq_1))))) ) )  &  (r1_xxreal_0(k1_algseq_1(f1_s1_algseq_1, A), f2_s1_algseq_1) &  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(f2_s1_algseq_1, B))  => k1_funct_1(A, B)=f3_s1_algseq_1(B)) ) ) ) ) ) ).
fof(dt_k1_algseq_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  => m1_subset_1(k1_algseq_1(A, B), k4_ordinal1)) ) ).
fof(dt_f1_s1_algseq_1, axiom,  ( ~ (v2_struct_0(f1_s1_algseq_1))  & l2_struct_0(f1_s1_algseq_1)) ).
fof(dt_f2_s1_algseq_1, axiom, v7_ordinal1(f2_s1_algseq_1)).
fof(dt_f3_s1_algseq_1, axiom,  (! [A] : m1_subset_1(f3_s1_algseq_1(A), u1_struct_0(f1_s1_algseq_1))) ).
fof(dt_k2_algseq_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k2_algseq_1(A, B)) &  (v1_funct_2(k2_algseq_1(A, B), k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(k2_algseq_1(A, B), A) & m1_subset_1(k2_algseq_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ) ).
fof(fc1_algspec1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k3_finseq_2(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k3_finseq_2(A))))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) )  =>  ( ~ (v11_struct_0(g1_msualg_1(A, B, C, D)))  & v1_msualg_1(g1_msualg_1(A, B, C, D))) ) ) ).
fof(cc1_algspec1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  (m2_algspec1(B, A) =>  ~ (v2_struct_0(B)) ) ) ) ) ).
fof(cc2_algspec1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  (m2_algspec1(B, A) =>  ~ (v11_struct_0(B)) ) ) ) ) ).
fof(rc1_algspec1, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  =>  (? [B] :  (m2_algspec1(B, A) &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_msualg_1(B) & v1_instalg1(B)) ) ) ) ) ) ) ).
fof(fc2_algspec1, axiom,  (! [A, B] :  ( ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  &  (v4_msualg_1(B, A) &  (v1_msafree1(B, A) & l3_msualg_1(B, A)) ) )  =>  (v1_relat_1(u3_msualg_1(A, B)) &  (v4_relat_1(u3_msualg_1(A, B), u1_struct_0(A)) &  (v1_funct_1(u3_msualg_1(A, B)) &  (v2_funct_1(u3_msualg_1(A, B)) & v1_partfun1(u3_msualg_1(A, B), u1_struct_0(A))) ) ) ) ) ) ).
fof(t1_algspec1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_tarski(k3_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)), k9_xtuple_0(C)) => k1_funct_4(k1_funct_4(A, B), C)=k1_funct_4(k1_funct_4(B, A), C)) ) ) ) ) ) ) ).
fof(t2_algspec1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r1_tarski(A, B) & r1_tarski(k3_xboole_0(k10_xtuple_0(C), k9_xtuple_0(B)), k9_xtuple_0(A)))  => k3_relat_1(C, B)=k3_relat_1(C, A)) ) ) ) ) ) ) ).
fof(t3_algspec1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r1_xboole_0(k9_xtuple_0(A), k10_xtuple_0(C)) & r1_xboole_0(k7_relat_1(B, k9_xtuple_0(C)), k9_xtuple_0(A)))  => k3_relat_1(k1_funct_4(B, C), A)=k3_relat_1(B, A)) ) ) ) ) ) ) ).
fof(t4_algspec1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (r1_partfun1(A, B) & r1_partfun1(C, D))  => r1_partfun1(k3_relat_1(C, A), k3_relat_1(D, B))) ) ) ) ) ) ) ) ) ).
fof(t5_algspec1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, D)))) )  =>  (r1_relset_1(A, C, E, F) => r1_relset_1(k3_finseq_2(A), k3_finseq_2(C), k12_lang1(A, C, E), k12_lang1(B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_algspec1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, D)))) )  =>  (r1_partfun1(E, F) => r1_partfun1(k12_lang1(A, C, E), k12_lang1(B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_algspec1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => k1_algspec1(A, B)=k1_funct_4(k6_partfun1(A), k5_relat_1(B, A))) ) ) ).
fof(t7_algspec1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => k10_xtuple_0(k1_algspec1(A, B))=k2_xboole_0(k6_subset_1(A, k9_xtuple_0(B)), k7_relat_1(B, A))) ) ) ).
fof(t8_algspec1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (m1_subset_1(C, A) => k1_funct_1(k1_algspec1(A, B), C)=k1_funct_1(k1_funct_4(k6_partfun1(A), B), C)) ) ) ) ) ) ).
fof(t9_algspec1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r2_tarski(B, A) =>  ( (r2_tarski(B, k9_xtuple_0(C)) => k1_funct_1(k1_algspec1(A, C), B)=k1_funct_1(C, B))  &  ( ~ (r2_tarski(B, k9_xtuple_0(C)))  => k1_funct_1(k1_algspec1(A, C), B)=B) ) ) ) ) ) ) ).
fof(t10_algspec1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (k9_xtuple_0(B)=A => k1_algspec1(A, B)=B) ) ) ) ).
fof(t11_algspec1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => r6_pboole(A, k1_algspec1(A, k1_algspec1(A, B)), k1_algspec1(A, B))) ) ) ).
fof(t12_algspec1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => r6_pboole(A, k1_algspec1(A, k1_funct_4(k6_partfun1(A), B)), k1_algspec1(A, B))) ) ) ).
fof(t13_algspec1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_tarski(B, k6_partfun1(A)) => r6_pboole(A, k1_algspec1(A, B), k6_partfun1(A))) ) ) ) ).
fof(t14_algspec1, axiom,  (! [A] : r6_pboole(A, k1_algspec1(A, k1_xboole_0), k6_partfun1(A))) ).
fof(t15_algspec1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_tarski(A, k9_xtuple_0(B)) => k1_algspec1(A, B)=k5_relat_1(B, A)) ) ) ) ).
fof(t16_algspec1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => k1_algspec1(k1_xboole_0, A)=k1_xboole_0) ) ).
fof(t17_algspec1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_tarski(A, B) => k5_relat_1(k1_algspec1(B, C), A)=k1_algspec1(A, C)) ) ) ) ) ).
fof(t18_algspec1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => r6_pboole(k2_xboole_0(A, B), k1_algspec1(k2_xboole_0(A, B), C), k1_funct_4(k1_algspec1(A, C), k1_algspec1(B, C)))) ) ) ) ).
fof(t19_algspec1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => r1_partfun1(k1_algspec1(A, C), k1_algspec1(B, C))) ) ) ) ).
fof(t20_algspec1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => k1_algspec1(k2_xboole_0(A, B), C)=k2_xboole_0(k1_algspec1(A, C), k1_algspec1(B, C))) ) ) ) ).
fof(t21_algspec1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_tarski(k10_xtuple_0(C), A) => k3_relat_1(C, k1_algspec1(A, B))=k3_relat_1(C, k1_funct_4(k6_partfun1(A), B))) ) ) ) ) ) ) ).
fof(t22_algspec1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (r1_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)) & r1_xboole_0(k10_xtuple_0(B), k9_xtuple_0(A)))  =>  (! [C] : k3_relat_1(k1_algspec1(C, B), A)=k5_relat_1(A, C)) ) ) ) ) ) ).
fof(d2_algspec1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (m1_algspec1(B, A) <=>  (k9_xtuple_0(B)=k10_xtuple_0(A) & k3_relat_1(B, A)=k6_partfun1(k10_xtuple_0(A))) ) ) ) ) ) ).
fof(t23_algspec1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (m1_algspec1(B, A) => r1_tarski(k10_xtuple_0(B), k9_xtuple_0(A))) ) ) ) ).
fof(t24_algspec1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (m1_algspec1(B, A) =>  (! [C] :  (r2_tarski(C, k10_xtuple_0(A)) =>  (r2_tarski(k1_funct_1(B, C), k9_xtuple_0(A)) & k1_funct_1(A, k1_funct_1(B, C))=C) ) ) ) ) ) ) ).
fof(t25_algspec1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v2_funct_1(A) => m1_algspec1(k2_funct_1(A), A)) ) ) ).
fof(t26_algspec1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v2_funct_1(A) =>  (! [B] :  (m1_algspec1(B, A) => B=k2_funct_1(A)) ) ) ) ) ).
fof(t27_algspec1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_partfun1(A, B) =>  (! [C] :  (m1_algspec1(C, A) =>  (! [D] :  (m1_algspec1(D, B) => m1_algspec1(k1_funct_4(C, D), k1_funct_4(A, B))) ) ) ) ) ) ) ) ) ).
fof(t28_algspec1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_tarski(A, B) =>  (! [C] :  (m1_algspec1(C, A) =>  (? [D] :  (m1_algspec1(D, B) & r1_tarski(C, D)) ) ) ) ) ) ) ) ) ).
fof(d3_algspec1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_algspec1(A, B, C) <=>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (k1_funct_1(k1_funct_4(k6_partfun1(u4_struct_0(A)), C), D)=k1_funct_1(k1_funct_4(k6_partfun1(u4_struct_0(A)), C), E) =>  (k3_relat_1(k1_msualg_1(A, D), k1_funct_4(k6_partfun1(u1_struct_0(A)), B))=k3_relat_1(k1_msualg_1(A, E), k1_funct_4(k6_partfun1(u1_struct_0(A)), B)) & k1_funct_1(k1_funct_4(k6_partfun1(u1_struct_0(A)), B), k2_msualg_1(A, D))=k1_funct_1(k1_funct_4(k6_partfun1(u1_struct_0(A)), B), k2_msualg_1(A, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_algspec1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_algspec1(A, B, C) <=>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (k1_funct_1(k1_algspec1(u4_struct_0(A), C), D)=k1_funct_1(k1_algspec1(u4_struct_0(A), C), E) =>  (k3_relat_1(k1_msualg_1(A, D), k1_algspec1(u1_struct_0(A), B))=k3_relat_1(k1_msualg_1(A, E), k1_algspec1(u1_struct_0(A), B)) & k1_funct_1(k1_algspec1(u1_struct_0(A), B), k2_msualg_1(A, D))=k1_funct_1(k1_algspec1(u1_struct_0(A), B), k2_msualg_1(A, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_algspec1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_algspec1(A, B, C) <=> r1_algspec1(A, k1_algspec1(u1_struct_0(A), B), k1_algspec1(u4_struct_0(A), C))) ) ) ) ) ) ) ).
fof(t31_algspec1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r3_pua2mss1(A, B, C, D) => r1_algspec1(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t32_algspec1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => r1_algspec1(A, B, k1_xboole_0)) ) ) ) ).
fof(t33_algspec1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (v2_funct_1(C) & r1_tarski(k3_xboole_0(u4_struct_0(A), k10_xtuple_0(C)), k9_xtuple_0(C)))  => r1_algspec1(A, B, C)) ) ) ) ) ) ) ).
fof(t34_algspec1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (v2_funct_1(C) & r1_xboole_0(k10_xtuple_0(C), u4_struct_0(A)))  => r1_algspec1(A, B, C)) ) ) ) ) ) ) ).
fof(d4_algspec1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_algspec1(A, B, C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v1_msualg_1(D) & l1_msualg_1(D)) ) )  =>  (D=k2_algspec1(A, B, C) <=>  (r3_pua2mss1(A, D, k1_algspec1(u1_struct_0(A), B), k1_algspec1(u4_struct_0(A), C)) &  (u1_struct_0(D)=k10_xtuple_0(k1_algspec1(u1_struct_0(A), B)) & u4_struct_0(D)=k10_xtuple_0(k1_algspec1(u4_struct_0(A), C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_algspec1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r3_pua2mss1(A, B, C, D) => k1_partfun1(u4_struct_0(A), k3_finseq_2(u1_struct_0(A)), k3_finseq_2(u1_struct_0(A)), k3_finseq_2(u1_struct_0(B)), u1_msualg_1(A), k12_lang1(u1_struct_0(A), u1_struct_0(B), C))=k3_relat_1(D, u1_msualg_1(B))) ) ) ) ) ) ) ) ) ).
fof(t36_algspec1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_algspec1(A, B, C) =>  (v1_funct_1(k1_algspec1(u1_struct_0(A), B)) &  (v1_funct_2(k1_algspec1(u1_struct_0(A), B), u1_struct_0(A), u1_struct_0(k2_algspec1(A, B, C))) & m1_subset_1(k1_algspec1(u1_struct_0(A), B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k2_algspec1(A, B, C)))))) ) ) ) ) ) ) ) ) ).
fof(t37_algspec1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_algspec1(A, B, C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(k2_algspec1(A, B, C))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k2_algspec1(A, B, C)))))) )  =>  (r8_pboole(u1_struct_0(A), D, k1_algspec1(u1_struct_0(A), B)) =>  (! [E] :  (m1_algspec1(E, k1_algspec1(u4_struct_0(A), C)) => u1_msualg_1(k2_algspec1(A, B, C))=k3_relat_1(E, k1_partfun1(u4_struct_0(A), k3_finseq_2(u1_struct_0(A)), k3_finseq_2(u1_struct_0(A)), k3_finseq_2(u1_struct_0(k2_algspec1(A, B, C))), u1_msualg_1(A), k12_lang1(u1_struct_0(A), u1_struct_0(k2_algspec1(A, B, C)), D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_algspec1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_algspec1(A, B, C) =>  (! [D] :  (m1_algspec1(D, k1_algspec1(u4_struct_0(A), C)) => u2_msualg_1(k2_algspec1(A, B, C))=k3_relat_1(D, k3_relat_1(u2_msualg_1(A), k1_algspec1(u1_struct_0(A), B)))) ) ) ) ) ) ) ) ) ).
fof(t39_algspec1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r3_pua2mss1(A, B, C, D) => m1_instalg1(k2_algspec1(A, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t40_algspec1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_algspec1(A, B, C) <=> r3_pua2mss1(A, k2_algspec1(A, B, C), k1_algspec1(u1_struct_0(A), B), k1_algspec1(u4_struct_0(A), C))) ) ) ) ) ) ) ).
fof(t41_algspec1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r1_tarski(k9_xtuple_0(B), u1_struct_0(A)) &  (r1_tarski(k9_xtuple_0(C), u4_struct_0(A)) & r1_algspec1(A, B, C)) )  => r3_pua2mss1(A, k2_algspec1(A, B, C), k1_funct_4(k6_partfun1(u1_struct_0(A)), B), k1_funct_4(k6_partfun1(u4_struct_0(A)), C))) ) ) ) ) ) ) ).
fof(t42_algspec1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (k9_xtuple_0(B)=u1_struct_0(A) &  (k9_xtuple_0(C)=u4_struct_0(A) & r1_algspec1(A, B, C)) )  => r3_pua2mss1(A, k2_algspec1(A, B, C), B, C)) ) ) ) ) ) ) ).
fof(t43_algspec1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_algspec1(A, B, C) => k2_algspec1(A, k1_algspec1(u1_struct_0(A), B), C)=k2_algspec1(A, B, C)) ) ) ) ) ) ) ).
fof(t44_algspec1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_algspec1(A, B, C) => k2_algspec1(A, B, k1_algspec1(u4_struct_0(A), C))=k2_algspec1(A, B, C)) ) ) ) ) ) ) ).
fof(d5_algspec1, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  =>  (! [B] :  ( (v1_instalg1(B) & l1_msualg_1(B))  =>  (m2_algspec1(B, A) <=> m1_instalg1(A, B)) ) ) ) ) ).
fof(t45_algspec1, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  => m2_algspec1(A, A)) ) ).
fof(t46_algspec1, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  =>  (! [B] :  (m2_algspec1(B, A) =>  (! [C] :  (m2_algspec1(C, B) => m2_algspec1(C, A)) ) ) ) ) ) ).
fof(t47_algspec1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) )  =>  (r1_circcomb(A, B) => m2_algspec1(k2_circcomb(A, B), A)) ) ) ) ) ).
fof(t48_algspec1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) )  => m2_algspec1(k2_circcomb(A, B), B)) ) ) ) ).
fof(t49_algspec1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_msualg_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  (! [G] :  ( (v1_relat_1(G) & v1_funct_1(G))  =>  ( (r1_partfun1(D, F) &  (r3_pua2mss1(A, C, D, E) & r3_pua2mss1(B, C, F, G)) )  => r3_pua2mss1(k2_circcomb(A, B), C, k1_funct_4(D, F), k1_funct_4(E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_algspec1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v1_instalg1(C) & l1_msualg_1(C)) )  =>  ( ( (m2_algspec1(C, A) & m2_algspec1(C, B))  =>  (r1_circcomb(A, B) & m2_algspec1(C, k2_circcomb(A, B))) )  &  ( (r1_circcomb(A, B) & m2_algspec1(C, k2_circcomb(A, B)))  =>  (m2_algspec1(C, A) & m2_algspec1(C, B)) ) ) ) ) ) ) ) ) ).
fof(t51_algspec1, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  =>  (! [B] :  ( (v1_instalg1(B) & l1_msualg_1(B))  =>  (v2_struct_0(A) => m2_algspec1(B, A)) ) ) ) ) ).
fof(t52_algspec1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( ( ~ (v11_struct_0(C))  &  (v1_instalg1(C) & l1_msualg_1(C)) )  =>  (! [D] :  (m2_algspec1(D, C) =>  (r1_algspec1(D, A, B) => r1_algspec1(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(t53_algspec1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( ( ~ (v11_struct_0(C))  &  (v1_instalg1(C) & l1_msualg_1(C)) )  =>  (! [D] :  (m2_algspec1(D, C) =>  (r1_algspec1(D, A, B) => m2_algspec1(k2_algspec1(D, A, B), k2_algspec1(C, A, B))) ) ) ) ) ) ) ) ) ).
fof(t54_algspec1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) )  =>  (r1_circcomb(A, B) =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r1_algspec1(k2_circcomb(A, B), C, D) => k2_algspec1(k2_circcomb(A, B), C, D)=k2_circcomb(k2_algspec1(A, C, D), k2_algspec1(B, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(d6_algspec1, axiom,  (! [A] :  (m3_algspec1(A) <=>  (? [B] :  ( ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) )  &  (v1_msualg_6(A, B) & l3_msualg_1(A, B)) ) ) ) ) ).
fof(d7_algspec1, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  =>  (! [B] :  (m3_algspec1(B) =>  (m4_algspec1(B, A) <=>  (? [C] :  ( ( ~ (v11_struct_0(C))  & m2_algspec1(C, A))  &  (v1_msualg_6(B, C) & l3_msualg_1(B, C)) ) ) ) ) ) ) ) ).
fof(t55_algspec1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_msualg_6(B, A) & l3_msualg_1(B, A))  => m4_algspec1(B, A)) ) ) ) ).
fof(t56_algspec1, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  =>  (! [B] :  (m2_algspec1(B, A) =>  (! [C] :  (m4_algspec1(C, B) => m4_algspec1(C, A)) ) ) ) ) ) ).
fof(t57_algspec1, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) )  =>  (! [C] :  (l3_msualg_1(C, B) =>  (m4_algspec1(C, A) =>  (r1_tarski(u1_struct_0(A), u1_struct_0(B)) & r1_tarski(u4_struct_0(A), u4_struct_0(B))) ) ) ) ) ) ) ) ).
fof(t58_algspec1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) )  =>  (! [C] :  (l3_msualg_1(C, B) =>  (m4_algspec1(C, A) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (v1_funct_1(k1_funct_1(u4_msualg_1(B, C), D)) &  (v1_funct_2(k1_funct_1(u4_msualg_1(B, C), D), k1_funct_1(k6_finseq_2(u1_struct_0(B), u3_msualg_1(B, C)), k1_msualg_1(A, D)), k1_funct_1(u3_msualg_1(B, C), k2_msualg_1(A, D))) & m1_subset_1(k1_funct_1(u4_msualg_1(B, C), D), k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k6_finseq_2(u1_struct_0(B), u3_msualg_1(B, C)), k1_msualg_1(A, D)), k1_funct_1(u3_msualg_1(B, C), k2_msualg_1(A, D)))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_algspec1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  (m4_algspec1(B, A) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_msualg_1(C))  =>  (l3_msualg_1(B, C) => l3_msualg_1(B, k2_circcomb(C, A))) ) ) ) ) ) ) ).
fof(t60_algspec1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) )  =>  (! [C] :  (l3_msualg_1(C, A) =>  (l3_msualg_1(C, B) =>  (u1_struct_0(A)=u1_struct_0(B) & u4_struct_0(A)=u4_struct_0(B)) ) ) ) ) ) ) ) ).
fof(t61_algspec1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_msafree1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k10_xtuple_0(u3_msualg_1(A, B))) =>  (! [D] :  (m1_subset_1(D, k10_xtuple_0(u3_msualg_1(A, B))) =>  (C=D | r1_xboole_0(C, D)) ) ) ) ) ) ) ) ) ).
fof(t62_algspec1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v1_msafree1(C, A) & l3_msualg_1(C, A)) )  =>  (l3_msualg_1(C, B) => g1_msualg_1(u1_struct_0(A), u4_struct_0(A), u1_msualg_1(A), u2_msualg_1(A))=g1_msualg_1(u1_struct_0(B), u4_struct_0(B), u1_msualg_1(B), u2_msualg_1(B))) ) ) ) ) ) ) ).
fof(t63_algspec1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v1_msafree1(C, A) & l3_msualg_1(C, A)) )  =>  (m4_algspec1(C, B) => m2_algspec1(A, B)) ) ) ) ) ) ) ).
fof(dt_k1_algspec1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (v1_relat_1(k1_algspec1(A, B)) &  (v4_relat_1(k1_algspec1(A, B), A) &  (v1_funct_1(k1_algspec1(A, B)) & v1_partfun1(k1_algspec1(A, B), A)) ) ) ) ) ).
fof(dt_m1_algspec1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (m1_algspec1(B, A) =>  (v1_relat_1(B) & v1_funct_1(B)) ) ) ) ) ).
fof(existence_m1_algspec1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (? [B] : m1_algspec1(B, A)) ) ) ).
fof(dt_k2_algspec1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) & v1_funct_1(B))  &  (v1_relat_1(C) & v1_funct_1(C)) ) )  =>  ( ~ (v2_struct_0(k2_algspec1(A, B, C)))  &  ( ~ (v11_struct_0(k2_algspec1(A, B, C)))  &  (v1_msualg_1(k2_algspec1(A, B, C)) & l1_msualg_1(k2_algspec1(A, B, C))) ) ) ) ) ).
fof(dt_m2_algspec1, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  =>  (! [B] :  (m2_algspec1(B, A) =>  (v1_instalg1(B) & l1_msualg_1(B)) ) ) ) ) ).
fof(existence_m2_algspec1, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  =>  (? [B] : m2_algspec1(B, A)) ) ) ).
fof(existence_m3_algspec1, axiom,  (? [A] : m3_algspec1(A)) ).
fof(dt_m4_algspec1, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  =>  (! [B] :  (m4_algspec1(B, A) => m3_algspec1(B)) ) ) ) ).
fof(existence_m4_algspec1, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  =>  (? [B] : m4_algspec1(B, A)) ) ) ).
fof(rc1_algstr_0, axiom,  (? [A] :  (l1_algstr_0(A) & v1_algstr_0(A)) ) ).
fof(fc1_algstr_0, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) )  =>  ( ~ (v2_struct_0(g1_algstr_0(A, B)))  & v1_algstr_0(g1_algstr_0(A, B))) ) ) ).
fof(fc2_algstr_0, axiom,  (! [A, B] :  ( (v1_zfmisc_1(A) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) )  =>  (v7_struct_0(g1_algstr_0(A, B)) & v1_algstr_0(g1_algstr_0(A, B))) ) ) ).
fof(fc3_algstr_0, axiom,  (! [A, B] :  ( ( ~ (v1_zfmisc_1(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) )  =>  ( ~ (v7_struct_0(g1_algstr_0(A, B)))  & v1_algstr_0(g1_algstr_0(A, B))) ) ) ).
fof(fc4_algstr_0, axiom,  (v13_struct_0(k2_algstr_0, 1) & v1_algstr_0(k2_algstr_0)) ).
fof(rc2_algstr_0, axiom,  (? [A] :  (l1_algstr_0(A) &  (v13_struct_0(A, 1) & v1_algstr_0(A)) ) ) ).
fof(cc1_algstr_0, axiom,  (! [A] :  (l1_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (v2_algstr_0(B, A) & v3_algstr_0(B, A))  => v4_algstr_0(B, A)) ) ) ) ) ).
fof(cc2_algstr_0, axiom,  (! [A] :  (l1_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v4_algstr_0(B, A) =>  (v2_algstr_0(B, A) & v3_algstr_0(B, A)) ) ) ) ) ) ).
fof(cc3_algstr_0, axiom,  (! [A] :  (l1_algstr_0(A) =>  ( (v5_algstr_0(A) & v6_algstr_0(A))  => v7_algstr_0(A)) ) ) ).
fof(cc4_algstr_0, axiom,  (! [A] :  (l1_algstr_0(A) =>  (v7_algstr_0(A) =>  (v5_algstr_0(A) & v6_algstr_0(A)) ) ) ) ).
fof(fc5_algstr_0, axiom, v7_algstr_0(k2_algstr_0)).
fof(rc3_algstr_0, axiom,  (? [A] :  (l1_algstr_0(A) &  (v13_struct_0(A, 1) &  (v1_algstr_0(A) & v7_algstr_0(A)) ) ) ) ).
fof(cc5_algstr_0, axiom,  (! [A] :  ( (v5_algstr_0(A) & l1_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v2_algstr_0(B, A)) ) ) ) ).
fof(cc6_algstr_0, axiom,  (! [A] :  ( (v6_algstr_0(A) & l1_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v3_algstr_0(B, A)) ) ) ) ).
fof(rc4_algstr_0, axiom,  (? [A] :  (l2_algstr_0(A) & v8_algstr_0(A)) ) ).
fof(fc6_algstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & m1_subset_1(C, A)) )  =>  ( ~ (v2_struct_0(g2_algstr_0(A, B, C)))  & v8_algstr_0(g2_algstr_0(A, B, C))) ) ) ).
fof(fc7_algstr_0, axiom,  (! [A, B, C] :  ( (v1_zfmisc_1(A) &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & m1_subset_1(C, A)) )  =>  (v7_struct_0(g2_algstr_0(A, B, C)) & v8_algstr_0(g2_algstr_0(A, B, C))) ) ) ).
fof(fc8_algstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_zfmisc_1(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & m1_subset_1(C, A)) )  =>  ( ~ (v7_struct_0(g2_algstr_0(A, B, C)))  & v8_algstr_0(g2_algstr_0(A, B, C))) ) ) ).
fof(fc9_algstr_0, axiom,  (v13_struct_0(k3_algstr_0, 1) & v8_algstr_0(k3_algstr_0)) ).
fof(rc5_algstr_0, axiom,  (? [A] :  (l2_algstr_0(A) &  (v13_struct_0(A, 1) & v8_algstr_0(A)) ) ) ).
fof(cc7_algstr_0, axiom,  (! [A] :  (l2_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (v9_algstr_0(B, A) & v10_algstr_0(B, A))  => v11_algstr_0(B, A)) ) ) ) ) ).
fof(cc8_algstr_0, axiom,  (! [A] :  (l2_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v11_algstr_0(B, A) =>  (v9_algstr_0(B, A) & v10_algstr_0(B, A)) ) ) ) ) ) ).
fof(fc10_algstr_0, axiom, v7_algstr_0(k3_algstr_0)).
fof(cc9_algstr_0, axiom,  (! [A] :  (l2_algstr_0(A) =>  ( (v12_algstr_0(A) & v13_algstr_0(A))  => v14_algstr_0(A)) ) ) ).
fof(cc10_algstr_0, axiom,  (! [A] :  (l2_algstr_0(A) =>  (v14_algstr_0(A) =>  (v12_algstr_0(A) & v13_algstr_0(A)) ) ) ) ).
fof(fc11_algstr_0, axiom, v14_algstr_0(k3_algstr_0)).
fof(rc6_algstr_0, axiom,  (? [A] :  (l2_algstr_0(A) &  (v13_struct_0(A, 1) &  (v7_algstr_0(A) &  (v8_algstr_0(A) & v14_algstr_0(A)) ) ) ) ) ).
fof(cc11_algstr_0, axiom,  (! [A] :  ( (v12_algstr_0(A) & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v9_algstr_0(B, A)) ) ) ) ).
fof(cc12_algstr_0, axiom,  (! [A] :  ( (v13_algstr_0(A) & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v10_algstr_0(B, A)) ) ) ) ).
fof(rc7_algstr_0, axiom,  (? [A] :  (l3_algstr_0(A) & v15_algstr_0(A)) ) ).
fof(fc12_algstr_0, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) )  =>  ( ~ (v2_struct_0(g3_algstr_0(A, B)))  & v15_algstr_0(g3_algstr_0(A, B))) ) ) ).
fof(fc13_algstr_0, axiom,  (! [A, B] :  ( (v1_zfmisc_1(A) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) )  =>  (v7_struct_0(g3_algstr_0(A, B)) & v15_algstr_0(g3_algstr_0(A, B))) ) ) ).
fof(fc14_algstr_0, axiom,  (! [A, B] :  ( ( ~ (v1_zfmisc_1(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) )  =>  ( ~ (v7_struct_0(g3_algstr_0(A, B)))  & v15_algstr_0(g3_algstr_0(A, B))) ) ) ).
fof(fc15_algstr_0, axiom,  (v13_struct_0(k7_algstr_0, 1) & v15_algstr_0(k7_algstr_0)) ).
fof(rc8_algstr_0, axiom,  (? [A] :  (l3_algstr_0(A) &  (v13_struct_0(A, 1) & v15_algstr_0(A)) ) ) ).
fof(cc13_algstr_0, axiom,  (! [A] :  (l3_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (v16_algstr_0(B, A) & v17_algstr_0(B, A))  => v18_algstr_0(B, A)) ) ) ) ) ).
fof(cc14_algstr_0, axiom,  (! [A] :  (l3_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v18_algstr_0(B, A) =>  (v16_algstr_0(B, A) & v17_algstr_0(B, A)) ) ) ) ) ) ).
fof(cc15_algstr_0, axiom,  (! [A] :  (l3_algstr_0(A) =>  ( (v19_algstr_0(A) & v20_algstr_0(A))  => v21_algstr_0(A)) ) ) ).
fof(cc16_algstr_0, axiom,  (! [A] :  (l3_algstr_0(A) =>  (v21_algstr_0(A) =>  (v19_algstr_0(A) & v20_algstr_0(A)) ) ) ) ).
fof(fc16_algstr_0, axiom, v21_algstr_0(k7_algstr_0)).
fof(rc9_algstr_0, axiom,  (? [A] :  (l3_algstr_0(A) &  (v13_struct_0(A, 1) &  (v15_algstr_0(A) & v21_algstr_0(A)) ) ) ) ).
fof(cc17_algstr_0, axiom,  (! [A] :  ( (v19_algstr_0(A) & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v16_algstr_0(B, A)) ) ) ) ).
fof(cc18_algstr_0, axiom,  (! [A] :  ( (v20_algstr_0(A) & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v17_algstr_0(B, A)) ) ) ) ).
fof(rc10_algstr_0, axiom,  (? [A] :  (l4_algstr_0(A) & v22_algstr_0(A)) ) ).
fof(fc17_algstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & m1_subset_1(C, A)) )  =>  ( ~ (v2_struct_0(g4_algstr_0(A, B, C)))  & v22_algstr_0(g4_algstr_0(A, B, C))) ) ) ).
fof(fc18_algstr_0, axiom,  (! [A, B, C] :  ( (v1_zfmisc_1(A) &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & m1_subset_1(C, A)) )  =>  (v7_struct_0(g4_algstr_0(A, B, C)) & v22_algstr_0(g4_algstr_0(A, B, C))) ) ) ).
fof(fc19_algstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_zfmisc_1(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & m1_subset_1(C, A)) )  =>  ( ~ (v7_struct_0(g4_algstr_0(A, B, C)))  & v22_algstr_0(g4_algstr_0(A, B, C))) ) ) ).
fof(fc20_algstr_0, axiom,  (v13_struct_0(k8_algstr_0, 1) & v22_algstr_0(k8_algstr_0)) ).
fof(rc11_algstr_0, axiom,  (? [A] :  (l4_algstr_0(A) &  (v13_struct_0(A, 1) & v22_algstr_0(A)) ) ) ).
fof(fc21_algstr_0, axiom, v21_algstr_0(k8_algstr_0)).
fof(cc19_algstr_0, axiom,  (! [A] :  (l4_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (v23_algstr_0(B, A) & v24_algstr_0(B, A))  => v25_algstr_0(B, A)) ) ) ) ) ).
fof(cc20_algstr_0, axiom,  (! [A] :  (l4_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v25_algstr_0(B, A) =>  (v23_algstr_0(B, A) & v24_algstr_0(B, A)) ) ) ) ) ) ).
fof(cc21_algstr_0, axiom,  (! [A] :  (l4_algstr_0(A) =>  ( (v26_algstr_0(A) & v27_algstr_0(A))  => v28_algstr_0(A)) ) ) ).
fof(cc22_algstr_0, axiom,  (! [A] :  (l4_algstr_0(A) =>  (v28_algstr_0(A) =>  (v26_algstr_0(A) & v27_algstr_0(A)) ) ) ) ).
fof(fc22_algstr_0, axiom, v28_algstr_0(k8_algstr_0)).
fof(rc12_algstr_0, axiom,  (? [A] :  (l4_algstr_0(A) &  (v13_struct_0(A, 1) &  (v21_algstr_0(A) &  (v22_algstr_0(A) & v28_algstr_0(A)) ) ) ) ) ).
fof(cc23_algstr_0, axiom,  (! [A] :  ( (v26_algstr_0(A) & l4_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v23_algstr_0(B, A)) ) ) ) ).
fof(cc24_algstr_0, axiom,  (! [A] :  ( (v27_algstr_0(A) & l4_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v24_algstr_0(B, A)) ) ) ) ).
fof(rc13_algstr_0, axiom,  (? [A] :  (l5_algstr_0(A) & v29_algstr_0(A)) ) ).
fof(fc23_algstr_0, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (m1_subset_1(C, A) & m1_subset_1(D, A)) ) )  =>  ( ~ (v2_struct_0(g5_algstr_0(A, B, C, D)))  & v29_algstr_0(g5_algstr_0(A, B, C, D))) ) ) ).
fof(fc24_algstr_0, axiom,  (! [A, B, C, D] :  ( (v1_zfmisc_1(A) &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (m1_subset_1(C, A) & m1_subset_1(D, A)) ) )  =>  (v7_struct_0(g5_algstr_0(A, B, C, D)) & v29_algstr_0(g5_algstr_0(A, B, C, D))) ) ) ).
fof(fc25_algstr_0, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_zfmisc_1(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (m1_subset_1(C, A) & m1_subset_1(D, A)) ) )  =>  ( ~ (v7_struct_0(g5_algstr_0(A, B, C, D)))  & v29_algstr_0(g5_algstr_0(A, B, C, D))) ) ) ).
fof(fc26_algstr_0, axiom,  (v13_struct_0(k10_algstr_0, 1) & v29_algstr_0(k10_algstr_0)) ).
fof(rc14_algstr_0, axiom,  (? [A] :  (l5_algstr_0(A) &  (v13_struct_0(A, 1) & v29_algstr_0(A)) ) ) ).
fof(cc25_algstr_0, axiom,  (! [A] :  (l5_algstr_0(A) =>  ( (v30_algstr_0(A) & v31_algstr_0(A))  => v32_algstr_0(A)) ) ) ).
fof(cc26_algstr_0, axiom,  (! [A] :  (l5_algstr_0(A) =>  (v32_algstr_0(A) =>  (v30_algstr_0(A) & v31_algstr_0(A)) ) ) ) ).
fof(fc27_algstr_0, axiom, v32_algstr_0(k10_algstr_0)).
fof(rc15_algstr_0, axiom,  (? [A] :  (l5_algstr_0(A) &  (v13_struct_0(A, 1) &  (v29_algstr_0(A) & v32_algstr_0(A)) ) ) ) ).
fof(cc27_algstr_0, axiom,  (! [A] :  (l5_algstr_0(A) =>  ( (v33_algstr_0(A) & v34_algstr_0(A))  => v35_algstr_0(A)) ) ) ).
fof(cc28_algstr_0, axiom,  (! [A] :  (l5_algstr_0(A) =>  (v35_algstr_0(A) =>  (v33_algstr_0(A) & v34_algstr_0(A)) ) ) ) ).
fof(fc28_algstr_0, axiom, v35_algstr_0(k10_algstr_0)).
fof(rc16_algstr_0, axiom,  (? [A] :  (l5_algstr_0(A) &  (v13_struct_0(A, 1) &  (v29_algstr_0(A) &  (v32_algstr_0(A) & v35_algstr_0(A)) ) ) ) ) ).
fof(rc17_algstr_0, axiom,  (? [A] :  (l6_algstr_0(A) & v36_algstr_0(A)) ) ).
fof(fc29_algstr_0, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (m1_subset_1(D, A) & m1_subset_1(E, A)) ) ) )  =>  ( ~ (v2_struct_0(g6_algstr_0(A, B, C, D, E)))  & v36_algstr_0(g6_algstr_0(A, B, C, D, E))) ) ) ).
fof(fc30_algstr_0, axiom,  (! [A, B, C, D, E] :  ( (v1_zfmisc_1(A) &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (m1_subset_1(D, A) & m1_subset_1(E, A)) ) ) )  =>  (v7_struct_0(g6_algstr_0(A, B, C, D, E)) & v36_algstr_0(g6_algstr_0(A, B, C, D, E))) ) ) ).
fof(fc31_algstr_0, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_zfmisc_1(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (m1_subset_1(D, A) & m1_subset_1(E, A)) ) ) )  =>  ( ~ (v7_struct_0(g6_algstr_0(A, B, C, D, E)))  & v36_algstr_0(g6_algstr_0(A, B, C, D, E))) ) ) ).
fof(fc32_algstr_0, axiom,  (v13_struct_0(k11_algstr_0, 1) & v36_algstr_0(k11_algstr_0)) ).
fof(rc18_algstr_0, axiom,  (? [A] :  (l6_algstr_0(A) &  (v13_struct_0(A, 1) & v36_algstr_0(A)) ) ) ).
fof(d1_algstr_0, axiom,  (! [A] :  (l1_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_algstr_0(A, B, C)=k4_binop_1(u1_struct_0(A), u1_algstr_0(A), B, C)) ) ) ) ) ) ).
fof(d2_algstr_0, axiom, k2_algstr_0=g1_algstr_0(k1_tarski(k5_ordinal1), k9_funct_5)).
fof(d3_algstr_0, axiom,  (! [A] :  (l1_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v2_algstr_0(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k1_algstr_0(A, B, C)=k1_algstr_0(A, B, D) => C=D) ) ) ) ) ) ) ) ) ) ).
fof(d4_algstr_0, axiom,  (! [A] :  (l1_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v3_algstr_0(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k1_algstr_0(A, C, B)=k1_algstr_0(A, D, B) => C=D) ) ) ) ) ) ) ) ) ) ).
fof(d5_algstr_0, axiom,  (! [A] :  (l1_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v4_algstr_0(B, A) <=>  (v3_algstr_0(B, A) & v2_algstr_0(B, A)) ) ) ) ) ) ).
fof(d6_algstr_0, axiom,  (! [A] :  (l1_algstr_0(A) =>  (v5_algstr_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v2_algstr_0(B, A)) ) ) ) ) ).
fof(d7_algstr_0, axiom,  (! [A] :  (l1_algstr_0(A) =>  (v6_algstr_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v3_algstr_0(B, A)) ) ) ) ) ).
fof(d8_algstr_0, axiom,  (! [A] :  (l1_algstr_0(A) =>  (v7_algstr_0(A) <=>  (v6_algstr_0(A) & v5_algstr_0(A)) ) ) ) ).
fof(d9_algstr_0, axiom, k3_algstr_0=g2_algstr_0(k1_tarski(k5_ordinal1), k9_funct_5, k5_funct_5)).
fof(d10_algstr_0, axiom,  (! [A] :  (l2_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v9_algstr_0(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & k1_algstr_0(A, C, B)=k4_struct_0(A)) ) ) ) ) ) ) ).
fof(d11_algstr_0, axiom,  (! [A] :  (l2_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v10_algstr_0(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & k1_algstr_0(A, B, C)=k4_struct_0(A)) ) ) ) ) ) ) ).
fof(d12_algstr_0, axiom,  (! [A] :  (l2_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v11_algstr_0(B, A) <=>  (v10_algstr_0(B, A) & v9_algstr_0(B, A)) ) ) ) ) ) ).
fof(d13_algstr_0, axiom,  (! [A] :  (l2_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (v9_algstr_0(B, A) & v3_algstr_0(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (C=k4_algstr_0(A, B) <=> k1_algstr_0(A, C, B)=k4_struct_0(A)) ) ) ) ) ) ) ) ).
fof(d14_algstr_0, axiom,  (! [A] :  (l2_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k5_algstr_0(A, B, C)=k1_algstr_0(A, B, k4_algstr_0(A, C))) ) ) ) ) ) ).
fof(d15_algstr_0, axiom,  (! [A] :  (l2_algstr_0(A) =>  (v12_algstr_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v9_algstr_0(B, A)) ) ) ) ) ).
fof(d16_algstr_0, axiom,  (! [A] :  (l2_algstr_0(A) =>  (v13_algstr_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v10_algstr_0(B, A)) ) ) ) ) ).
fof(d17_algstr_0, axiom,  (! [A] :  (l2_algstr_0(A) =>  (v14_algstr_0(A) <=>  (v13_algstr_0(A) & v12_algstr_0(A)) ) ) ) ).
fof(d18_algstr_0, axiom,  (! [A] :  (l3_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k6_algstr_0(A, B, C)=k4_binop_1(u1_struct_0(A), u2_algstr_0(A), B, C)) ) ) ) ) ) ).
fof(d19_algstr_0, axiom, k7_algstr_0=g3_algstr_0(k1_tarski(k5_ordinal1), k9_funct_5)).
fof(d20_algstr_0, axiom,  (! [A] :  (l3_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v16_algstr_0(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k6_algstr_0(A, B, C)=k6_algstr_0(A, B, D) => C=D) ) ) ) ) ) ) ) ) ) ).
fof(d21_algstr_0, axiom,  (! [A] :  (l3_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v17_algstr_0(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k6_algstr_0(A, C, B)=k6_algstr_0(A, D, B) => C=D) ) ) ) ) ) ) ) ) ) ).
fof(d22_algstr_0, axiom,  (! [A] :  (l3_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v18_algstr_0(B, A) <=>  (v17_algstr_0(B, A) & v16_algstr_0(B, A)) ) ) ) ) ) ).
fof(d23_algstr_0, axiom,  (! [A] :  (l3_algstr_0(A) =>  (v19_algstr_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v16_algstr_0(B, A)) ) ) ) ) ).
fof(d24_algstr_0, axiom,  (! [A] :  (l3_algstr_0(A) =>  (v20_algstr_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v17_algstr_0(B, A)) ) ) ) ) ).
fof(d25_algstr_0, axiom,  (! [A] :  (l3_algstr_0(A) =>  (v21_algstr_0(A) <=>  (v19_algstr_0(A) & v20_algstr_0(A)) ) ) ) ).
fof(d26_algstr_0, axiom, k8_algstr_0=g4_algstr_0(k1_tarski(k5_ordinal1), k9_funct_5, k5_funct_5)).
fof(d27_algstr_0, axiom,  (! [A] :  (l4_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v23_algstr_0(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & k6_algstr_0(A, C, B)=k5_struct_0(A)) ) ) ) ) ) ) ).
fof(d28_algstr_0, axiom,  (! [A] :  (l4_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v24_algstr_0(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & k6_algstr_0(A, B, C)=k5_struct_0(A)) ) ) ) ) ) ) ).
fof(d29_algstr_0, axiom,  (! [A] :  (l4_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v25_algstr_0(B, A) <=>  (v24_algstr_0(B, A) & v23_algstr_0(B, A)) ) ) ) ) ) ).
fof(d30_algstr_0, axiom,  (! [A] :  (l4_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (v23_algstr_0(B, A) & v17_algstr_0(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (C=k9_algstr_0(A, B) <=> k6_algstr_0(A, C, B)=k5_struct_0(A)) ) ) ) ) ) ) ) ).
fof(d31_algstr_0, axiom,  (! [A] :  (l4_algstr_0(A) =>  (v26_algstr_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v23_algstr_0(B, A)) ) ) ) ) ).
fof(d32_algstr_0, axiom,  (! [A] :  (l4_algstr_0(A) =>  (v27_algstr_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v24_algstr_0(B, A)) ) ) ) ) ).
fof(d33_algstr_0, axiom,  (! [A] :  (l4_algstr_0(A) =>  (v28_algstr_0(A) <=>  (v27_algstr_0(A) & v26_algstr_0(A)) ) ) ) ).
fof(d34_algstr_0, axiom, k10_algstr_0=g5_algstr_0(k1_tarski(k5_ordinal1), k9_funct_5, k5_funct_5, k5_funct_5)).
fof(d35_algstr_0, axiom,  (! [A] :  (l5_algstr_0(A) =>  (v30_algstr_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (B=k4_struct_0(A))  => v16_algstr_0(B, A)) ) ) ) ) ) ).
fof(d36_algstr_0, axiom,  (! [A] :  (l5_algstr_0(A) =>  (v31_algstr_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (B=k4_struct_0(A))  => v17_algstr_0(B, A)) ) ) ) ) ) ).
fof(d37_algstr_0, axiom,  (! [A] :  (l5_algstr_0(A) =>  (v32_algstr_0(A) <=>  (v30_algstr_0(A) & v31_algstr_0(A)) ) ) ) ).
fof(d38_algstr_0, axiom,  (! [A] :  (l5_algstr_0(A) =>  (v33_algstr_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (B=k4_struct_0(A))  => v23_algstr_0(B, A)) ) ) ) ) ) ).
fof(d39_algstr_0, axiom,  (! [A] :  (l5_algstr_0(A) =>  (v34_algstr_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (B=k4_struct_0(A))  => v24_algstr_0(B, A)) ) ) ) ) ) ).
fof(d40_algstr_0, axiom,  (! [A] :  (l5_algstr_0(A) =>  (v35_algstr_0(A) <=>  (v34_algstr_0(A) & v33_algstr_0(A)) ) ) ) ).
fof(d41_algstr_0, axiom, k11_algstr_0=g6_algstr_0(k1_tarski(k5_ordinal1), k9_funct_5, k9_funct_5, k5_funct_5, k5_funct_5)).
fof(d42_algstr_0, axiom,  (! [A] :  (l4_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k12_algstr_0(A, B, C)=k6_algstr_0(A, B, k9_algstr_0(A, C))) ) ) ) ) ) ).
fof(abstractness_v1_algstr_0, axiom,  (! [A] :  (l1_algstr_0(A) =>  (v1_algstr_0(A) => A=g1_algstr_0(u1_struct_0(A), u1_algstr_0(A))) ) ) ).
fof(dt_l1_algstr_0, axiom,  (! [A] :  (l1_algstr_0(A) => l1_struct_0(A)) ) ).
fof(existence_l1_algstr_0, axiom,  (? [A] : l1_algstr_0(A)) ).
fof(dt_g1_algstr_0, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v1_algstr_0(g1_algstr_0(A, B)) & l1_algstr_0(g1_algstr_0(A, B))) ) ) ).
fof(free_g1_algstr_0, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C, D] :  (g1_algstr_0(A, B)=g1_algstr_0(C, D) =>  (A=C & B=D) ) ) ) ) ).
fof(dt_u1_algstr_0, axiom,  (! [A] :  (l1_algstr_0(A) =>  (v1_funct_1(u1_algstr_0(A)) &  (v1_funct_2(u1_algstr_0(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(u1_algstr_0(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(dt_k1_algstr_0, axiom,  (! [A, B, C] :  ( (l1_algstr_0(A) &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k1_algstr_0(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k2_algstr_0, axiom, l1_algstr_0(k2_algstr_0)).
fof(abstractness_v8_algstr_0, axiom,  (! [A] :  (l2_algstr_0(A) =>  (v8_algstr_0(A) => A=g2_algstr_0(u1_struct_0(A), u1_algstr_0(A), u2_struct_0(A))) ) ) ).
fof(dt_l2_algstr_0, axiom,  (! [A] :  (l2_algstr_0(A) =>  (l2_struct_0(A) & l1_algstr_0(A)) ) ) ).
fof(existence_l2_algstr_0, axiom,  (? [A] : l2_algstr_0(A)) ).
fof(dt_g2_algstr_0, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & m1_subset_1(C, A))  =>  (v8_algstr_0(g2_algstr_0(A, B, C)) & l2_algstr_0(g2_algstr_0(A, B, C))) ) ) ).
fof(free_g2_algstr_0, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & m1_subset_1(C, A))  =>  (! [D, E, F] :  (g2_algstr_0(A, B, C)=g2_algstr_0(D, E, F) =>  (A=D &  (B=E & C=F) ) ) ) ) ) ).
fof(dt_k3_algstr_0, axiom, l2_algstr_0(k3_algstr_0)).
fof(dt_k4_algstr_0, axiom,  (! [A, B] :  ( (l2_algstr_0(A) & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k4_algstr_0(A, B), u1_struct_0(A))) ) ).
fof(dt_k5_algstr_0, axiom,  (! [A, B, C] :  ( (l2_algstr_0(A) &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k5_algstr_0(A, B, C), u1_struct_0(A))) ) ).
fof(abstractness_v15_algstr_0, axiom,  (! [A] :  (l3_algstr_0(A) =>  (v15_algstr_0(A) => A=g3_algstr_0(u1_struct_0(A), u2_algstr_0(A))) ) ) ).
fof(dt_l3_algstr_0, axiom,  (! [A] :  (l3_algstr_0(A) => l1_struct_0(A)) ) ).
fof(existence_l3_algstr_0, axiom,  (? [A] : l3_algstr_0(A)) ).
fof(dt_g3_algstr_0, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v15_algstr_0(g3_algstr_0(A, B)) & l3_algstr_0(g3_algstr_0(A, B))) ) ) ).
fof(free_g3_algstr_0, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C, D] :  (g3_algstr_0(A, B)=g3_algstr_0(C, D) =>  (A=C & B=D) ) ) ) ) ).
fof(dt_u2_algstr_0, axiom,  (! [A] :  (l3_algstr_0(A) =>  (v1_funct_1(u2_algstr_0(A)) &  (v1_funct_2(u2_algstr_0(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(u2_algstr_0(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(dt_k6_algstr_0, axiom,  (! [A, B, C] :  ( (l3_algstr_0(A) &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k6_algstr_0(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k7_algstr_0, axiom, l3_algstr_0(k7_algstr_0)).
fof(abstractness_v22_algstr_0, axiom,  (! [A] :  (l4_algstr_0(A) =>  (v22_algstr_0(A) => A=g4_algstr_0(u1_struct_0(A), u2_algstr_0(A), u3_struct_0(A))) ) ) ).
fof(dt_l4_algstr_0, axiom,  (! [A] :  (l4_algstr_0(A) =>  (l3_struct_0(A) & l3_algstr_0(A)) ) ) ).
fof(existence_l4_algstr_0, axiom,  (? [A] : l4_algstr_0(A)) ).
fof(dt_g4_algstr_0, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & m1_subset_1(C, A))  =>  (v22_algstr_0(g4_algstr_0(A, B, C)) & l4_algstr_0(g4_algstr_0(A, B, C))) ) ) ).
fof(free_g4_algstr_0, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & m1_subset_1(C, A))  =>  (! [D, E, F] :  (g4_algstr_0(A, B, C)=g4_algstr_0(D, E, F) =>  (A=D &  (B=E & C=F) ) ) ) ) ) ).
fof(dt_k8_algstr_0, axiom, l4_algstr_0(k8_algstr_0)).
fof(dt_k9_algstr_0, axiom,  (! [A, B] :  ( (l4_algstr_0(A) & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k9_algstr_0(A, B), u1_struct_0(A))) ) ).
fof(abstractness_v29_algstr_0, axiom,  (! [A] :  (l5_algstr_0(A) =>  (v29_algstr_0(A) => A=g5_algstr_0(u1_struct_0(A), u2_algstr_0(A), u2_struct_0(A), u3_struct_0(A))) ) ) ).
fof(dt_l5_algstr_0, axiom,  (! [A] :  (l5_algstr_0(A) =>  (l4_algstr_0(A) & l4_struct_0(A)) ) ) ).
fof(existence_l5_algstr_0, axiom,  (? [A] : l5_algstr_0(A)) ).
fof(dt_g5_algstr_0, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (m1_subset_1(C, A) & m1_subset_1(D, A)) )  =>  (v29_algstr_0(g5_algstr_0(A, B, C, D)) & l5_algstr_0(g5_algstr_0(A, B, C, D))) ) ) ).
fof(free_g5_algstr_0, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (m1_subset_1(C, A) & m1_subset_1(D, A)) )  =>  (! [E, F, G, H] :  (g5_algstr_0(A, B, C, D)=g5_algstr_0(E, F, G, H) =>  (A=E &  (B=F &  (C=G & D=H) ) ) ) ) ) ) ).
fof(dt_k10_algstr_0, axiom, l5_algstr_0(k10_algstr_0)).
fof(abstractness_v36_algstr_0, axiom,  (! [A] :  (l6_algstr_0(A) =>  (v36_algstr_0(A) => A=g6_algstr_0(u1_struct_0(A), u1_algstr_0(A), u2_algstr_0(A), u3_struct_0(A), u2_struct_0(A))) ) ) ).
fof(dt_l6_algstr_0, axiom,  (! [A] :  (l6_algstr_0(A) =>  (l2_algstr_0(A) & l5_algstr_0(A)) ) ) ).
fof(existence_l6_algstr_0, axiom,  (? [A] : l6_algstr_0(A)) ).
fof(dt_g6_algstr_0, axiom,  (! [A, B, C, D, E] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (m1_subset_1(D, A) & m1_subset_1(E, A)) ) )  =>  (v36_algstr_0(g6_algstr_0(A, B, C, D, E)) & l6_algstr_0(g6_algstr_0(A, B, C, D, E))) ) ) ).
fof(free_g6_algstr_0, axiom,  (! [A, B, C, D, E] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (m1_subset_1(D, A) & m1_subset_1(E, A)) ) )  =>  (! [F, G, H, I, J] :  (g6_algstr_0(A, B, C, D, E)=g6_algstr_0(F, G, H, I, J) =>  (A=F &  (B=G &  (C=H &  (D=I & E=J) ) ) ) ) ) ) ) ).
fof(dt_k11_algstr_0, axiom, l6_algstr_0(k11_algstr_0)).
fof(dt_k12_algstr_0, axiom,  (! [A, B, C] :  ( (l4_algstr_0(A) &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k12_algstr_0(A, B, C), u1_struct_0(A))) ) ).
fof(cc1_algstr_1, axiom,  (! [A] :  (l2_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  & v4_algstr_1(A))  =>  ( ~ (v2_struct_0(A))  &  (v5_algstr_0(A) &  (v6_algstr_0(A) &  (v2_algstr_1(A) & v3_algstr_1(A)) ) ) ) ) ) ) ).
fof(cc2_algstr_1, axiom,  (! [A] :  (l2_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v5_algstr_0(A) &  (v6_algstr_0(A) &  (v2_algstr_1(A) & v3_algstr_1(A)) ) ) )  =>  ( ~ (v2_struct_0(A))  & v4_algstr_1(A)) ) ) ) ).
fof(fc1_algstr_1, axiom,  (v3_rlvect_1(k3_algstr_0) &  (v4_rlvect_1(k3_algstr_0) &  (v1_algstr_1(k3_algstr_0) & v4_algstr_1(k3_algstr_0)) ) ) ).
fof(rc1_algstr_1, axiom,  (? [A] :  (l2_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  (v8_algstr_0(A) &  (v4_rlvect_1(A) &  (v1_algstr_1(A) & v4_algstr_1(A)) ) ) ) ) ) ).
fof(rc2_algstr_1, axiom,  (? [A] :  (l2_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  (v5_algstr_0(A) &  (v6_algstr_0(A) &  (v7_algstr_0(A) &  (v8_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_algstr_1(A) &  (v2_algstr_1(A) &  (v3_algstr_1(A) & v4_algstr_1(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc3_algstr_1, axiom,  (! [A] :  (l2_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  & v4_algstr_1(A))  =>  ( ~ (v2_struct_0(A))  & v2_algstr_1(A)) ) ) ) ).
fof(cc4_algstr_1, axiom,  (! [A] :  (l2_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) & v4_rlvect_1(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  (v1_algstr_1(A) & v4_algstr_1(A)) ) ) ) ) ).
fof(fc2_algstr_1, axiom, v2_rlvect_1(k3_algstr_0)).
fof(rc3_algstr_1, axiom,  (? [A] :  (l2_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  (v5_algstr_0(A) &  (v6_algstr_0(A) &  (v7_algstr_0(A) &  (v8_algstr_0(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_algstr_1(A) &  (v2_algstr_1(A) &  (v3_algstr_1(A) & v4_algstr_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc3_algstr_1, axiom,  ~ (v2_struct_0(k8_algstr_0)) ).
fof(rc4_algstr_1, axiom,  (? [A] :  (l4_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  (v21_algstr_0(A) &  (v22_algstr_0(A) &  (v4_vectsp_1(A) & v5_algstr_1(A)) ) ) ) ) ) ).
fof(fc4_algstr_1, axiom,  (v21_algstr_0(k8_algstr_0) &  (v4_vectsp_1(k8_algstr_0) & v5_algstr_1(k8_algstr_0)) ) ).
fof(rc5_algstr_1, axiom,  (? [A] :  (l4_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  (v19_algstr_0(A) &  (v20_algstr_0(A) &  (v21_algstr_0(A) &  (v22_algstr_0(A) &  (v3_vectsp_1(A) &  (v4_vectsp_1(A) &  (v6_vectsp_1(A) &  (v1_group_1(A) &  (v3_group_1(A) & v5_algstr_1(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc5_algstr_1, axiom, v3_group_1(k8_algstr_0)).
fof(rc6_algstr_1, axiom,  (? [A] :  (l4_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  (v19_algstr_0(A) &  (v20_algstr_0(A) &  (v21_algstr_0(A) &  (v22_algstr_0(A) &  (v3_vectsp_1(A) &  (v4_vectsp_1(A) &  (v6_vectsp_1(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & v5_algstr_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc5_algstr_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v21_algstr_0(A) &  (v5_algstr_1(A) & l4_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v23_algstr_0(B, A)) ) ) ) ).
fof(fc6_algstr_1, axiom,  ( ~ (v2_struct_0(k2_algstr_1))  & v29_algstr_0(k2_algstr_1)) ).
fof(fc7_algstr_1, axiom,  (v29_algstr_0(k2_algstr_1) & v4_vectsp_1(k2_algstr_1)) ).
fof(cc6_algstr_1, axiom,  (! [A] :  (l5_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  & v7_algstr_1(A))  =>  ( ~ (v2_struct_0(A))  &  (v32_algstr_0(A) & v6_algstr_1(A)) ) ) ) ) ).
fof(rc7_algstr_1, axiom,  (? [A] :  (l5_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v29_algstr_0(A) &  (v4_vectsp_1(A) & v7_algstr_1(A)) ) ) ) ) ) ).
fof(fc8_algstr_1, axiom,  (v29_algstr_0(k2_algstr_1) &  (v4_vectsp_1(k2_algstr_1) & v7_algstr_1(k2_algstr_1)) ) ).
fof(rc8_algstr_1, axiom,  (? [A] :  (l5_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v29_algstr_0(A) &  (v30_algstr_0(A) &  (v31_algstr_0(A) &  (v32_algstr_0(A) &  (v3_vectsp_1(A) &  (v4_vectsp_1(A) &  (v6_vectsp_1(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v6_algstr_1(A) & v7_algstr_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc9_algstr_1, axiom,  (v29_algstr_0(k2_algstr_1) & v3_group_1(k2_algstr_1)) ).
fof(rc9_algstr_1, axiom,  (? [A] :  (l5_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v29_algstr_0(A) &  (v30_algstr_0(A) &  (v31_algstr_0(A) &  (v32_algstr_0(A) &  (v3_vectsp_1(A) &  (v4_vectsp_1(A) &  (v6_vectsp_1(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v6_algstr_1(A) & v7_algstr_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc7_algstr_1, axiom,  (! [A] :  (l2_algstr_0(A) =>  (v13_struct_0(A, 1) =>  (v13_struct_0(A, 1) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) & v4_rlvect_1(A)) ) ) ) ) ) ) ).
fof(cc8_algstr_1, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  & v7_struct_0(A))  =>  ( ~ (v2_struct_0(A))  &  (v1_vectsp_1(A) & v4_vectsp_1(A)) ) ) ) ) ).
fof(cc9_algstr_1, axiom,  (! [A] :  (l3_algstr_0(A) =>  (v13_struct_0(A, 1) =>  (v13_struct_0(A, 1) &  (v2_group_1(A) &  (v3_group_1(A) & v5_group_1(A)) ) ) ) ) ) ).
fof(t1_algstr_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_algstr_0(A, D, k4_struct_0(A))=D) )  &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) & k1_algstr_0(A, D, E)=k4_struct_0(A)) ) ) )  &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => k1_algstr_0(A, k1_algstr_0(A, D, E), F)=k1_algstr_0(A, D, k1_algstr_0(A, E, F))) ) ) ) ) )  & k1_algstr_0(A, B, C)=k4_struct_0(A)) ) )  => k1_algstr_0(A, C, B)=k4_struct_0(A)) ) ) ) ) ) ) ).
fof(t2_algstr_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_algstr_0(A, C, k4_struct_0(A))=C) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & k1_algstr_0(A, C, D)=k4_struct_0(A)) ) ) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k1_algstr_0(A, k1_algstr_0(A, C, D), E)=k1_algstr_0(A, C, k1_algstr_0(A, D, E))) ) ) ) ) ) ) )  => k1_algstr_0(A, k4_struct_0(A), B)=k1_algstr_0(A, B, k4_struct_0(A))) ) ) ) ) ).
fof(t3_algstr_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  ( ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_algstr_0(A, B, k4_struct_0(A))=B) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & k1_algstr_0(A, B, C)=k4_struct_0(A)) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_algstr_0(A, k1_algstr_0(A, B, C), D)=k1_algstr_0(A, B, k1_algstr_0(A, C, D))) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & k1_algstr_0(A, C, B)=k4_struct_0(A)) ) ) ) ) ) ) ).
fof(d1_algstr_1, axiom,  (! [A] : k1_algstr_1(A)=A) ).
fof(t4_algstr_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k3_algstr_0)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_algstr_0)) => A=B) ) ) ) ).
fof(t5_algstr_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k3_algstr_0)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_algstr_0)) => k1_algstr_0(k3_algstr_0, A, B)=k4_struct_0(k3_algstr_0)) ) ) ) ).
fof(d2_algstr_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (v1_algstr_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_algstr_0(A, k4_struct_0(A), B)=B) ) ) ) ) ).
fof(d3_algstr_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (v2_algstr_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & k1_algstr_0(A, D, B)=C) ) ) ) ) ) ) ) ) ).
fof(d4_algstr_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (v3_algstr_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & k1_algstr_0(A, B, D)=C) ) ) ) ) ) ) ) ) ).
fof(d5_algstr_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (v4_algstr_1(A) <=>  (v5_algstr_0(A) &  (v6_algstr_0(A) &  (v2_algstr_1(A) & v3_algstr_1(A)) ) ) ) ) ) ).
fof(t6_algstr_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (v4_algstr_1(A) <=>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & k1_algstr_0(A, B, D)=C) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & k1_algstr_0(A, D, B)=C) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k1_algstr_0(A, B, C)=k1_algstr_0(A, B, D) => C=D) ) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k1_algstr_0(A, C, B)=k1_algstr_0(A, D, B) => C=D) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_algstr_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  <=>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_algstr_0(A, B, k4_struct_0(A))=B) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & k1_algstr_0(A, B, C)=k4_struct_0(A)) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_algstr_0(A, k1_algstr_0(A, B, C), D)=k1_algstr_0(A, B, k1_algstr_0(A, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_algstr_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  <=>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_algstr_0(A, B, k4_struct_0(A))=B) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & k1_algstr_0(A, B, C)=k4_struct_0(A)) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_algstr_0(A, k1_algstr_0(A, B, C), D)=k1_algstr_0(A, B, k1_algstr_0(A, C, D))) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_algstr_0(A, B, C)=k1_algstr_0(A, C, B)) ) ) ) ) ) ) ) ) ) ).
fof(t9_algstr_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k8_algstr_0)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k8_algstr_0)) => A=B) ) ) ) ).
fof(t10_algstr_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k8_algstr_0)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k8_algstr_0)) => k6_algstr_0(k8_algstr_0, A, B)=k5_struct_0(k8_algstr_0)) ) ) ) ).
fof(d6_algstr_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (v5_algstr_1(A) <=>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & k6_algstr_0(A, B, D)=C) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & k6_algstr_0(A, D, B)=C) ) ) ) ) ) ) ) ) ) ).
fof(t11_algstr_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  ( ( ~ (v2_struct_0(A))  &  (v21_algstr_0(A) &  (v4_vectsp_1(A) &  (v3_group_1(A) &  (v5_algstr_1(A) & l4_algstr_0(A)) ) ) ) )  <=>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_algstr_0(A, B, k5_struct_0(A))=B) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & k6_algstr_0(A, B, C)=k5_struct_0(A)) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k6_algstr_0(A, k6_algstr_0(A, B, C), D)=k6_algstr_0(A, B, k6_algstr_0(A, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_algstr_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  ( ( ~ (v2_struct_0(A))  &  (v21_algstr_0(A) &  (v4_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v5_algstr_1(A) & l4_algstr_0(A)) ) ) ) ) )  <=>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_algstr_0(A, B, k5_struct_0(A))=B) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & k6_algstr_0(A, B, C)=k5_struct_0(A)) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k6_algstr_0(A, k6_algstr_0(A, B, C), D)=k6_algstr_0(A, B, k6_algstr_0(A, C, D))) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k6_algstr_0(A, B, C)=k6_algstr_0(A, C, B)) ) ) ) ) ) ) ) ) ) ).
fof(t13_algstr_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v21_algstr_0(A) &  (v4_vectsp_1(A) &  (v3_group_1(A) &  (v5_algstr_1(A) & l4_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k6_algstr_0(A, k9_algstr_0(A, B), B)=k5_struct_0(A) & k6_algstr_0(A, B, k9_algstr_0(A, B))=k5_struct_0(A)) ) ) ) ) ).
fof(d7_algstr_1, axiom, k2_algstr_1=g5_algstr_0(k1_numbers, k11_binop_2, k10_subset_1(k5_numbers, k1_numbers), k10_subset_1(1, k1_numbers))).
fof(d8_algstr_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l5_algstr_0(A))  =>  (v6_algstr_1(A) <=>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=k4_struct_0(A))  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ (k6_algstr_0(A, B, D)=C) ) ) ) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=k4_struct_0(A))  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ (k6_algstr_0(A, D, B)=C) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_algstr_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l5_algstr_0(A))  =>  (v7_algstr_1(A) <=>  (v6_algstr_1(A) &  (v32_algstr_0(A) &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_algstr_0(A, B, k4_struct_0(A))=k4_struct_0(A)) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_algstr_0(A, k4_struct_0(A), B)=k4_struct_0(A)) ) ) ) ) ) ) ) ).
fof(t16_algstr_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l5_algstr_0(A))  =>  (v7_algstr_1(A) <=>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=k4_struct_0(A))  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ (k6_algstr_0(A, B, D)=C) ) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=k4_struct_0(A))  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ (k6_algstr_0(A, D, B)=C) ) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k6_algstr_0(A, B, C)=k6_algstr_0(A, B, D) =>  (B=k4_struct_0(A) | C=D) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k6_algstr_0(A, C, B)=k6_algstr_0(A, D, B) =>  (B=k4_struct_0(A) | C=D) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_algstr_0(A, B, k4_struct_0(A))=k4_struct_0(A)) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_algstr_0(A, k4_struct_0(A), B)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ).
fof(d10_algstr_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v32_algstr_0(A) &  (v6_algstr_1(A) & l5_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (B=k4_struct_0(A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (C=k9_algstr_0(A, B) <=> k6_algstr_0(A, C, B)=k5_struct_0(A)) ) ) ) ) ) ) ) ).
fof(t17_algstr_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v32_algstr_0(A) &  (v4_vectsp_1(A) &  (v3_group_1(A) &  (v6_algstr_1(A) & l5_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (B=k4_struct_0(A))  =>  (k6_algstr_0(A, k9_algstr_0(A, B), B)=k5_struct_0(A) & k6_algstr_0(A, B, k9_algstr_0(A, B))=k5_struct_0(A)) ) ) ) ) ) ).
fof(d11_algstr_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v32_algstr_0(A) &  (v6_algstr_1(A) & l5_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_algstr_1(A, B, C)=k6_algstr_0(A, B, k9_algstr_0(A, C))) ) ) ) ) ) ).
fof(dt_k1_algstr_1, axiom,  (! [A] : m1_subset_1(k1_algstr_1(A), k1_tarski(A))) ).
fof(dt_k2_algstr_1, axiom,  (v29_algstr_0(k2_algstr_1) & l5_algstr_0(k2_algstr_1)) ).
fof(dt_k3_algstr_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v32_algstr_0(A) &  (v6_algstr_1(A) & l5_algstr_0(A)) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k3_algstr_1(A, B, C), u1_struct_0(A))) ) ).
fof(fc1_algstr_2, axiom,  (v36_algstr_0(k2_vectsp_1) & v7_algstr_1(k2_vectsp_1)) ).
fof(rc1_algstr_2, axiom,  (? [A] :  (l6_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v36_algstr_0(A) &  (v1_algstr_1(A) &  (v4_algstr_1(A) &  (v7_algstr_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & v5_group_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_algstr_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_algstr_0(A) &  (v3_algstr_1(A) & l2_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (C=k1_algstr_2(A, B) <=> k1_algstr_0(A, B, C)=k4_struct_0(A)) ) ) ) ) ) ) ).
fof(d2_algstr_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_algstr_0(A) &  (v3_algstr_1(A) & l2_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_algstr_2(A, B, C)=k1_algstr_0(A, B, k1_algstr_2(A, C))) ) ) ) ) ) ).
fof(t1_algstr_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v1_algstr_1(A) &  (v4_algstr_1(A) &  (v7_algstr_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v4_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  <=>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_algstr_0(A, B, k4_struct_0(A))=B) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & k1_algstr_0(A, B, C)=k4_struct_0(A)) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_algstr_0(A, k1_algstr_0(A, B, C), D)=k1_algstr_0(A, B, k1_algstr_0(A, C, D))) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_algstr_0(A, B, C)=k1_algstr_0(A, C, B)) ) ) )  &  ( ~ (k4_struct_0(A)=k5_struct_0(A))  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_algstr_0(A, B, k5_struct_0(A))=B) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_algstr_0(A, k5_struct_0(A), B)=B) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=k4_struct_0(A))  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ (k6_algstr_0(A, B, D)=C) ) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=k4_struct_0(A))  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ (k6_algstr_0(A, D, B)=C) ) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k6_algstr_0(A, B, C)=k6_algstr_0(A, B, D) =>  (B=k4_struct_0(A) | C=D) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k6_algstr_0(A, C, B)=k6_algstr_0(A, D, B) =>  (B=k4_struct_0(A) | C=D) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_algstr_0(A, B, k4_struct_0(A))=k4_struct_0(A)) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_algstr_0(A, k4_struct_0(A), B)=k4_struct_0(A)) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k6_algstr_0(A, B, k1_algstr_0(A, C, D))=k1_algstr_0(A, k6_algstr_0(A, B, C), k6_algstr_0(A, B, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_algstr_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_algstr_1(A) &  (v4_algstr_1(A) &  (v7_algstr_1(A) &  (v2_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v4_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k6_algstr_0(A, B, k1_algstr_2(A, C))=k1_algstr_2(A, k6_algstr_0(A, B, C))) ) ) ) ) ) ).
fof(t3_algstr_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_algstr_0(A) &  (v3_algstr_1(A) &  (v2_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_algstr_2(A, k1_algstr_2(A, B))=B) ) ) ) ).
fof(t4_algstr_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_algstr_1(A) &  (v4_algstr_1(A) &  (v7_algstr_1(A) &  (v2_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v4_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  => k6_algstr_0(A, k1_algstr_2(A, k5_struct_0(A)), k1_algstr_2(A, k5_struct_0(A)))=k5_struct_0(A)) ) ).
fof(t5_algstr_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_algstr_1(A) &  (v4_algstr_1(A) &  (v7_algstr_1(A) &  (v2_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v4_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k6_algstr_0(A, B, k2_algstr_2(A, C, D))=k2_algstr_2(A, k6_algstr_0(A, B, C), k6_algstr_0(A, B, D))) ) ) ) ) ) ) ) ).
fof(t6_algstr_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v1_algstr_1(A) &  (v4_algstr_1(A) &  (v7_algstr_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) &  (v4_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  <=>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_algstr_0(A, B, k4_struct_0(A))=B) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & k1_algstr_0(A, B, C)=k4_struct_0(A)) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_algstr_0(A, k1_algstr_0(A, B, C), D)=k1_algstr_0(A, B, k1_algstr_0(A, C, D))) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_algstr_0(A, B, C)=k1_algstr_0(A, C, B)) ) ) )  &  ( ~ (k4_struct_0(A)=k5_struct_0(A))  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_algstr_0(A, B, k5_struct_0(A))=B) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_algstr_0(A, k5_struct_0(A), B)=B) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=k4_struct_0(A))  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ (k6_algstr_0(A, B, D)=C) ) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=k4_struct_0(A))  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ (k6_algstr_0(A, D, B)=C) ) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k6_algstr_0(A, B, C)=k6_algstr_0(A, B, D) =>  (B=k4_struct_0(A) | C=D) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k6_algstr_0(A, C, B)=k6_algstr_0(A, D, B) =>  (B=k4_struct_0(A) | C=D) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_algstr_0(A, B, k4_struct_0(A))=k4_struct_0(A)) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_algstr_0(A, k4_struct_0(A), B)=k4_struct_0(A)) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k6_algstr_0(A, k1_algstr_0(A, C, D), B)=k1_algstr_0(A, k6_algstr_0(A, C, B), k6_algstr_0(A, D, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_algstr_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_algstr_1(A) &  (v4_algstr_1(A) &  (v7_algstr_1(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) &  (v4_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k6_algstr_0(A, k1_algstr_2(A, C), B)=k1_algstr_2(A, k6_algstr_0(A, C, B))) ) ) ) ) ) ).
fof(t8_algstr_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_algstr_1(A) &  (v4_algstr_1(A) &  (v7_algstr_1(A) &  (v2_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) &  (v4_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  => k6_algstr_0(A, k1_algstr_2(A, k5_struct_0(A)), k1_algstr_2(A, k5_struct_0(A)))=k5_struct_0(A)) ) ).
fof(t9_algstr_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_algstr_1(A) &  (v4_algstr_1(A) &  (v7_algstr_1(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) &  (v4_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k6_algstr_0(A, k2_algstr_2(A, C, D), B)=k2_algstr_2(A, k6_algstr_0(A, C, B), k6_algstr_0(A, D, B))) ) ) ) ) ) ) ) ).
fof(t10_algstr_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v1_algstr_1(A) &  (v4_algstr_1(A) &  (v7_algstr_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  <=>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_algstr_0(A, B, k4_struct_0(A))=B) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & k1_algstr_0(A, B, C)=k4_struct_0(A)) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_algstr_0(A, k1_algstr_0(A, B, C), D)=k1_algstr_0(A, B, k1_algstr_0(A, C, D))) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_algstr_0(A, B, C)=k1_algstr_0(A, C, B)) ) ) )  &  ( ~ (k4_struct_0(A)=k5_struct_0(A))  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_algstr_0(A, B, k5_struct_0(A))=B) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_algstr_0(A, k5_struct_0(A), B)=B) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=k4_struct_0(A))  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ (k6_algstr_0(A, B, D)=C) ) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=k4_struct_0(A))  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ (k6_algstr_0(A, D, B)=C) ) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k6_algstr_0(A, B, C)=k6_algstr_0(A, B, D) =>  (B=k4_struct_0(A) | C=D) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k6_algstr_0(A, C, B)=k6_algstr_0(A, D, B) =>  (B=k4_struct_0(A) | C=D) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_algstr_0(A, B, k4_struct_0(A))=k4_struct_0(A)) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_algstr_0(A, k4_struct_0(A), B)=k4_struct_0(A)) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k6_algstr_0(A, B, k1_algstr_0(A, C, D))=k1_algstr_0(A, k6_algstr_0(A, B, C), k6_algstr_0(A, B, D))) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k6_algstr_0(A, k1_algstr_0(A, C, D), B)=k1_algstr_0(A, k6_algstr_0(A, C, B), k6_algstr_0(A, D, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_algstr_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v1_algstr_1(A) &  (v4_algstr_1(A) &  (v7_algstr_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  <=>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_algstr_0(A, B, k4_struct_0(A))=B) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & k1_algstr_0(A, B, C)=k4_struct_0(A)) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_algstr_0(A, k1_algstr_0(A, B, C), D)=k1_algstr_0(A, B, k1_algstr_0(A, C, D))) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_algstr_0(A, B, C)=k1_algstr_0(A, C, B)) ) ) )  &  ( ~ (k4_struct_0(A)=k5_struct_0(A))  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_algstr_0(A, B, k5_struct_0(A))=B) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ ( ( ~ (B=k4_struct_0(A))  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ (k6_algstr_0(A, B, C)=k5_struct_0(A)) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_algstr_0(A, B, k4_struct_0(A))=k4_struct_0(A)) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_algstr_0(A, k4_struct_0(A), B)=k4_struct_0(A)) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k6_algstr_0(A, k6_algstr_0(A, B, C), D)=k6_algstr_0(A, B, k6_algstr_0(A, C, D))) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k6_algstr_0(A, B, k1_algstr_0(A, C, D))=k1_algstr_0(A, k6_algstr_0(A, B, C), k6_algstr_0(A, B, D))) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k6_algstr_0(A, k1_algstr_0(A, C, D), B)=k1_algstr_0(A, k6_algstr_0(A, C, B), k6_algstr_0(A, D, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_algstr_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v1_algstr_1(A) &  (v4_algstr_1(A) &  (v7_algstr_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  <=>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_algstr_0(A, B, k4_struct_0(A))=B) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & k1_algstr_0(A, B, C)=k4_struct_0(A)) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_algstr_0(A, k1_algstr_0(A, B, C), D)=k1_algstr_0(A, B, k1_algstr_0(A, C, D))) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_algstr_0(A, B, C)=k1_algstr_0(A, C, B)) ) ) )  &  ( ~ (k4_struct_0(A)=k5_struct_0(A))  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_algstr_0(A, B, k5_struct_0(A))=B) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ ( ( ~ (B=k4_struct_0(A))  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ (k6_algstr_0(A, B, C)=k5_struct_0(A)) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_algstr_0(A, B, k4_struct_0(A))=k4_struct_0(A)) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k6_algstr_0(A, k6_algstr_0(A, B, C), D)=k6_algstr_0(A, B, k6_algstr_0(A, C, D))) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k6_algstr_0(A, B, k1_algstr_0(A, C, D))=k1_algstr_0(A, k6_algstr_0(A, B, C), k6_algstr_0(A, B, D))) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k6_algstr_0(A, B, C)=k6_algstr_0(A, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_algstr_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v5_algstr_0(A) &  (v3_algstr_1(A) & l2_algstr_0(A)) ) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k1_algstr_2(A, B), u1_struct_0(A))) ) ).
fof(dt_k2_algstr_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v5_algstr_0(A) &  (v3_algstr_1(A) & l2_algstr_0(A)) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k2_algstr_2(A, B, C), u1_struct_0(A))) ) ).
fof(rc1_algstr_3, axiom,  (? [A] :  (l1_algstr_3(A) & v1_algstr_3(A)) ) ).
fof(rc2_algstr_3, axiom,  (? [A] :  (l1_algstr_3(A) &  ~ (v2_struct_0(A)) ) ) ).
fof(fc1_algstr_3, axiom,  ( ~ (v2_struct_0(k3_algstr_3))  & v1_algstr_3(k3_algstr_3)) ).
fof(rc3_algstr_3, axiom,  (? [A] :  (l1_algstr_3(A) &  ( ~ (v2_struct_0(A))  &  (v1_algstr_3(A) & v2_algstr_3(A)) ) ) ) ).
fof(d1_algstr_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_3(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_algstr_3(A, B, C, D)=k2_multop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u1_algstr_3(A), B, C, D)) ) ) ) ) ) ) ) ).
fof(d2_algstr_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k1_numbers)))) )  =>  (A=k2_algstr_3 <=>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => k1_multop_1(A, B, C, D)=k2_xcmplx_0(k3_xcmplx_0(B, C), D)) ) ) ) ) ) ) ) ) ).
fof(d3_algstr_3, axiom, k3_algstr_3=g1_algstr_3(k1_numbers, k10_subset_1(k5_numbers, k1_numbers), k10_subset_1(1, k1_numbers), k2_algstr_3)).
fof(d4_algstr_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k3_algstr_3)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_algstr_3)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_algstr_3)) => k4_algstr_3(A, B, C)=k2_multop_1(u1_struct_0(k3_algstr_3), u1_struct_0(k3_algstr_3), u1_struct_0(k3_algstr_3), u1_struct_0(k3_algstr_3), u1_algstr_3(k3_algstr_3), A, B, C)) ) ) ) ) ) ).
fof(t1_algstr_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (A=B)  &  (! [E] :  (v1_xreal_0(E) =>  ~ (k2_xcmplx_0(k3_xcmplx_0(A, E), C)=k2_xcmplx_0(k3_xcmplx_0(B, E), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_algstr_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k3_algstr_3)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_algstr_3)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_algstr_3)) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (A=D &  (B=E & C=F) )  => k1_algstr_3(k3_algstr_3, A, B, C)=k2_xcmplx_0(k3_xcmplx_0(D, E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_algstr_3, axiom, 1=k5_struct_0(k3_algstr_3)).
fof(d5_algstr_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_3(A))  =>  (v2_algstr_3(A) <=>  ( ~ (k4_struct_0(A)=k5_struct_0(A))  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_algstr_3(A, B, k5_struct_0(A), k4_struct_0(A))=B) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_algstr_3(A, k5_struct_0(A), B, k4_struct_0(A))=B) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_algstr_3(A, B, k4_struct_0(A), C)=C) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_algstr_3(A, k4_struct_0(A), B, C)=C) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) & k1_algstr_3(A, B, C, E)=D) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (k1_algstr_3(A, B, C, D)=k1_algstr_3(A, B, C, E) => D=E) ) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (B=C)  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  (k1_algstr_3(A, F, B, G)=D & k1_algstr_3(A, F, C, G)=E) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (B=C)  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) & k1_algstr_3(A, B, F, D)=k1_algstr_3(A, C, F, E)) ) ) ) ) ) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( (k1_algstr_3(A, D, B, F)=k1_algstr_3(A, E, B, G) &  (k1_algstr_3(A, D, C, F)=k1_algstr_3(A, E, C, G) &  ( ~ (B=C)  &  ~ (D=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_algstr_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_algstr_3(A) & l1_algstr_3(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (k1_algstr_3(A, D, B, F)=k1_algstr_3(A, E, B, G) & k1_algstr_3(A, D, C, F)=k1_algstr_3(A, E, C, G))  =>  (B=C |  (D=E & F=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_algstr_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_algstr_3(A) & l1_algstr_3(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (B=k4_struct_0(A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) & k1_algstr_3(A, B, E, C)=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_algstr_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_algstr_3(A) & l1_algstr_3(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (k1_algstr_3(A, B, D, C)=k1_algstr_3(A, B, E, C) =>  (B=k4_struct_0(A) | D=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_algstr_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_algstr_3(A) & l1_algstr_3(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (B=k4_struct_0(A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) & k1_algstr_3(A, E, B, C)=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_algstr_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_algstr_3(A) & l1_algstr_3(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (k1_algstr_3(A, D, B, C)=k1_algstr_3(A, E, B, C) =>  (B=k4_struct_0(A) | D=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(abstractness_v1_algstr_3, axiom,  (! [A] :  (l1_algstr_3(A) =>  (v1_algstr_3(A) => A=g1_algstr_3(u1_struct_0(A), u2_struct_0(A), u3_struct_0(A), u1_algstr_3(A))) ) ) ).
fof(dt_l1_algstr_3, axiom,  (! [A] :  (l1_algstr_3(A) => l4_struct_0(A)) ) ).
fof(existence_l1_algstr_3, axiom,  (? [A] : l1_algstr_3(A)) ).
fof(dt_g1_algstr_3, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(B, A) &  (m1_subset_1(C, A) &  (v1_funct_1(D) &  (v1_funct_2(D, k3_zfmisc_1(A, A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(A, A, A), A)))) ) ) )  =>  (v1_algstr_3(g1_algstr_3(A, B, C, D)) & l1_algstr_3(g1_algstr_3(A, B, C, D))) ) ) ).
fof(free_g1_algstr_3, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(B, A) &  (m1_subset_1(C, A) &  (v1_funct_1(D) &  (v1_funct_2(D, k3_zfmisc_1(A, A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(A, A, A), A)))) ) ) )  =>  (! [E, F, G, H] :  (g1_algstr_3(A, B, C, D)=g1_algstr_3(E, F, G, H) =>  (A=E &  (B=F &  (C=G & D=H) ) ) ) ) ) ) ).
fof(dt_u1_algstr_3, axiom,  (! [A] :  (l1_algstr_3(A) =>  (v1_funct_1(u1_algstr_3(A)) &  (v1_funct_2(u1_algstr_3(A), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(u1_algstr_3(A), k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(dt_k1_algstr_3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l1_algstr_3(A))  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, u1_struct_0(A))) ) )  => m1_subset_1(k1_algstr_3(A, B, C, D), u1_struct_0(A))) ) ).
fof(dt_k2_algstr_3, axiom,  (v1_funct_1(k2_algstr_3) &  (v1_funct_2(k2_algstr_3, k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k1_numbers) & m1_subset_1(k2_algstr_3, k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k1_numbers)))) ) ).
fof(dt_k3_algstr_3, axiom,  (v1_algstr_3(k3_algstr_3) & l1_algstr_3(k3_algstr_3)) ).
fof(dt_k4_algstr_3, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, u1_struct_0(k3_algstr_3)) &  (m1_subset_1(B, u1_struct_0(k3_algstr_3)) & m1_subset_1(C, u1_struct_0(k3_algstr_3))) )  => m1_subset_1(k4_algstr_3(A, B, C), u1_struct_0(k3_algstr_3))) ) ).
fof(fc1_algstr_4, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  & v7_ordinal1(C))  =>  (v1_relat_1(k5_relat_1(B, C)) & v5_ordinal1(k5_relat_1(B, C))) ) ) ).
fof(rc1_algstr_4, axiom,  (? [A] :  (l3_algstr_0(A) & v2_struct_0(A)) ) ).
fof(fc2_algstr_4, axiom,  (! [A] :  (l3_algstr_0(A) => v1_algstr_4(k1_eqrel_1(u1_struct_0(A)), A)) ) ).
fof(rc2_algstr_4, axiom,  (! [A] :  (l3_algstr_0(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_partfun1(B, u1_struct_0(A)) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v3_relat_2(B) &  (v8_relat_2(B) & v1_algstr_4(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc3_algstr_4, axiom,  (! [A, B] :  ( (l3_algstr_0(A) &  (v1_partfun1(B, u1_struct_0(A)) &  (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_algstr_4(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) )  => v15_algstr_0(k4_algstr_4(A, B))) ) ).
fof(fc4_algstr_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  (v1_partfun1(B, u1_struct_0(A)) &  (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_algstr_4(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) )  =>  ~ (v2_struct_0(k4_algstr_4(A, B))) ) ) ).
fof(fc5_algstr_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  (v1_partfun1(B, u1_struct_0(A)) &  (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_algstr_4(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k5_algstr_4(A, B)) &  (v1_funct_2(k5_algstr_4(A, B), u1_struct_0(A), u1_struct_0(k4_algstr_4(A, B))) & v1_group_6(k5_algstr_4(A, B), A, k4_algstr_4(A, B))) ) ) ) ).
fof(fc6_algstr_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  (v1_partfun1(B, u1_struct_0(A)) &  (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_algstr_4(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k5_algstr_4(A, B)) &  (v1_funct_2(k5_algstr_4(A, B), u1_struct_0(A), u1_struct_0(k4_algstr_4(A, B))) & v2_funct_2(k5_algstr_4(A, B), u1_struct_0(k4_algstr_4(A, B)))) ) ) ) ).
fof(fc7_algstr_4, axiom,  (! [A, B] :  ( (l3_algstr_0(A) &  (v1_relat_1(B) &  (v5_relat_1(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) & v1_funct_1(B)) ) )  =>  (v1_partfun1(k6_algstr_4(A, B), u1_struct_0(A)) &  (v3_relat_2(k6_algstr_4(A, B)) &  (v8_relat_2(k6_algstr_4(A, B)) & v1_algstr_4(k6_algstr_4(A, B), A)) ) ) ) ) ).
fof(rc3_algstr_4, axiom,  (! [A] :  (l3_algstr_0(A) =>  (? [B] :  (m1_algstr_4(B, A) & v15_algstr_0(B)) ) ) ) ).
fof(rc4_algstr_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (? [B] :  (m1_algstr_4(B, A) &  ~ (v2_struct_0(B)) ) ) ) ) ).
fof(rc5_algstr_4, axiom,  (! [A] :  (l3_algstr_0(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v2_algstr_4(B, A)) ) ) ) ).
fof(fc8_algstr_4, axiom,  (! [A, B] :  ( (l3_algstr_0(A) & m1_algstr_4(B, A))  => v2_algstr_4(u1_struct_0(B), A)) ) ).
fof(fc9_algstr_4, axiom,  (! [A, B] :  ( (l3_algstr_0(A) &  (v1_xboole_0(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (v2_struct_0(k9_algstr_4(A, B)) & v15_algstr_0(k9_algstr_4(A, B))) ) ) ).
fof(fc10_algstr_4, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v1_xboole_0(k11_algstr_4(A, B))) ) ) ).
fof(fc11_algstr_4, axiom,  (! [A] :  (v1_xboole_0(A) => v1_xboole_0(k12_algstr_4(A))) ) ).
fof(fc12_algstr_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k12_algstr_4(A))) ) ) ).
fof(fc13_algstr_4, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k12_algstr_4(A)))  =>  (v7_ordinal1(k2_xtuple_0(B)) &  ~ (v8_ordinal1(k2_xtuple_0(B))) ) ) ) ).
fof(fc14_algstr_4, axiom,  (! [A] : v15_algstr_0(k14_algstr_4(A))) ).
fof(fc15_algstr_4, axiom,  (! [A] :  (v1_xboole_0(A) => v2_struct_0(k14_algstr_4(A))) ) ).
fof(fc16_algstr_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v2_struct_0(k14_algstr_4(A))) ) ) ).
fof(fc17_algstr_4, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, u1_struct_0(k14_algstr_4(A))))  =>  (v7_ordinal1(k2_xtuple_0(B)) &  ~ (v8_ordinal1(k2_xtuple_0(B))) ) ) ) ).
fof(fc18_algstr_4, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (v1_funct_1(k16_algstr_4(A, B)) &  (v2_funct_1(k16_algstr_4(A, B)) & v1_funct_2(k16_algstr_4(A, B), k11_algstr_4(A, B), u1_struct_0(k14_algstr_4(A)))) ) ) ) ).
fof(fc19_algstr_4, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) )  =>  (v1_funct_1(k18_algstr_4(A, B, C)) &  (v1_funct_2(k18_algstr_4(A, B, C), u1_struct_0(k14_algstr_4(A)), u1_struct_0(k14_algstr_4(B))) & v1_group_6(k18_algstr_4(A, B, C), k14_algstr_4(A), k14_algstr_4(B))) ) ) ) ).
fof(d1_algstr_4, axiom,  (! [A] :  (! [B] :  ( ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  => k1_algstr_4(A, B)=B)  &  ( ~ ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) )  => k1_algstr_4(A, B)=k4_afinsq_1(A)) ) ) ) ).
fof(t1_algstr_4, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r1_tarski(B, k1_yellow_6(A)) & r1_tarski(C, k1_yellow_6(A)))  => r1_tarski(k2_zfmisc_1(B, C), k1_yellow_6(A))) ) ) ) ).
fof(d2_algstr_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_algstr_4(A, B) <=>  (r1_tarski(k9_xtuple_0(B), k9_xtuple_0(A)) & r1_partfun1(A, B)) ) ) ) ) ) ).
fof(d3_algstr_4, axiom,  (! [A] :  (l3_algstr_0(A) =>  (! [B] :  ( (v1_partfun1(B, u1_struct_0(A)) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (v1_algstr_4(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_tarski(C, k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), B, D)) & r2_tarski(E, k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), B, F)))  => r2_tarski(k6_algstr_0(A, C, E), k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), B, k6_algstr_0(A, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_algstr_4, axiom,  (! [A] :  (l3_algstr_0(A) =>  (! [B] :  ( (v1_partfun1(B, u1_struct_0(A)) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (v1_algstr_4(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), B, C)=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), B, D) & k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), B, E)=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), B, F))  => k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), B, k6_algstr_0(A, C, E))=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), B, k6_algstr_0(A, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_algstr_4, axiom,  (! [A] :  (l3_algstr_0(A) =>  (! [B] :  ( (v1_partfun1(B, u1_struct_0(A)) &  (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_algstr_4(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k8_eqrel_1(u1_struct_0(A), B), k8_eqrel_1(u1_struct_0(A), B)), k8_eqrel_1(u1_struct_0(A), B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(u1_struct_0(A), B), k8_eqrel_1(u1_struct_0(A), B)), k8_eqrel_1(u1_struct_0(A), B))))) )  =>  ( ( ~ (v2_struct_0(A))  =>  (C=k3_algstr_4(A, B) <=>  (! [D] :  (m1_subset_1(D, k8_eqrel_1(u1_struct_0(A), B)) =>  (! [E] :  (m1_subset_1(E, k8_eqrel_1(u1_struct_0(A), B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (D=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), B, F) & E=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), B, G))  => k4_binop_1(k8_eqrel_1(u1_struct_0(A), B), C, D, E)=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), B, k6_algstr_0(A, F, G))) ) ) ) ) ) ) ) ) ) )  &  (v2_struct_0(A) =>  (C=k3_algstr_4(A, B) <=> C=k1_xboole_0) ) ) ) ) ) ) ) ) ).
fof(d5_algstr_4, axiom,  (! [A] :  (l3_algstr_0(A) =>  (! [B] :  ( (v1_partfun1(B, u1_struct_0(A)) &  (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_algstr_4(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) )  => k4_algstr_4(A, B)=g3_algstr_0(k8_eqrel_1(u1_struct_0(A), B), k3_algstr_4(A, B))) ) ) ) ).
fof(d6_algstr_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( (v1_partfun1(B, u1_struct_0(A)) &  (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_algstr_4(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k4_algstr_4(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k4_algstr_4(A, B)))))) )  =>  (C=k5_algstr_4(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(k4_algstr_4(A, B)), C, D)=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), B, D)) ) ) ) ) ) ) ) ) ).
fof(t3_algstr_4, axiom,  (! [A] :  (l3_algstr_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) & v1_funct_1(B)) )  =>  (! [C] :  ( (v1_partfun1(C, u1_struct_0(A)) &  (v3_relat_2(C) &  (v8_relat_2(C) &  (v1_algstr_4(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) )  =>  ( (! [D] :  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_tarski(D, k9_xtuple_0(B)) & k1_funct_1(B, D)=k4_tarski(E, F))  => r2_tarski(E, k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), C, F))) ) ) ) ) )  => r1_relset_1(u1_struct_0(A), u1_struct_0(A), k6_algstr_4(A, B), C)) ) ) ) ) ) ) ).
fof(d8_algstr_4, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_partfun1(D, A) &  (v3_relat_2(D) &  (v8_relat_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (D=k7_algstr_4(A, B, C) <=>  (! [E] :  (! [F] :  (r2_hidden(k4_tarski(E, F), D) <=>  (r2_hidden(E, A) &  (r2_hidden(F, A) & k1_funct_1(C, E)=k1_funct_1(C, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_algstr_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v1_group_6(C, A, B) => v1_algstr_4(k7_algstr_4(u1_struct_0(A), u1_struct_0(B), C), A)) ) ) ) ) ) ) ).
fof(t5_algstr_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ~ ( (v1_group_6(C, A, B) &  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) & v1_funct_1(D)) )  =>  ~ (r2_relset_1(u1_struct_0(A), u1_struct_0(A), k7_algstr_4(u1_struct_0(A), u1_struct_0(B), C), k6_algstr_4(A, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_algstr_4, axiom,  (! [A] :  (l3_algstr_0(A) =>  (! [B] :  (l3_algstr_0(B) =>  (m1_algstr_4(B, A) <=>  (r1_tarski(u1_struct_0(B), u1_struct_0(A)) & u2_algstr_0(B)=k1_realset1(u2_algstr_0(A), u1_struct_0(B))) ) ) ) ) ) ).
fof(t6_algstr_4, axiom,  (! [A] :  (l3_algstr_0(A) =>  (! [B] :  (m1_algstr_4(B, A) =>  (! [C] :  (m1_algstr_4(C, A) =>  ( (m1_algstr_4(B, C) & m1_algstr_4(C, B))  => g3_algstr_0(u1_struct_0(B), u2_algstr_0(B))=g3_algstr_0(u1_struct_0(C), u2_algstr_0(C))) ) ) ) ) ) ) ).
fof(t7_algstr_4, axiom,  (! [A] :  (l3_algstr_0(A) =>  (! [B] :  (m1_algstr_4(B, A) =>  (u1_struct_0(B)=u1_struct_0(A) => g3_algstr_0(u1_struct_0(B), u2_algstr_0(B))=g3_algstr_0(u1_struct_0(A), u2_algstr_0(A))) ) ) ) ) ).
fof(d10_algstr_4, axiom,  (! [A] :  (l3_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_algstr_4(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k6_algstr_0(A, C, D), B)) ) ) ) ) ) ) ) ) ) ).
fof(t8_algstr_4, axiom,  (! [A] :  (l3_algstr_0(A) =>  (! [B] :  (m1_algstr_4(B, A) =>  (v2_algstr_4(u1_struct_0(B), A) & m1_subset_1(u1_struct_0(B), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ).
fof(t9_algstr_4, axiom,  (! [A] :  (l3_algstr_0(A) =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (! [C] :  (r2_tarski(C, k9_xtuple_0(B)) =>  (v2_algstr_4(k1_funct_1(B, C), A) & m1_subset_1(k1_funct_1(B, C), k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v2_algstr_4(k3_funct_6(B), A) & m1_subset_1(k3_funct_6(B), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ).
fof(t10_algstr_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_algstr_4(B, A) <=> r1_tarski(k2_group_2(A, B, B), B)) ) ) ) ) ).
fof(t11_algstr_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v2_algstr_4(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_group_6(C, A, B) =>  (v2_algstr_4(k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), B) & m1_subset_1(k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), k1_zfmisc_1(u1_struct_0(B)))) ) ) ) ) ) ) ) ) ) ).
fof(t12_algstr_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v2_algstr_4(D, B) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))))  =>  (v1_group_6(C, A, B) =>  (v2_algstr_4(k8_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), A) & m1_subset_1(k8_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ) ) ) ) ).
fof(d11_algstr_4, axiom,  (! [A] :  (l3_algstr_0(A) =>  (! [B] :  ( (v2_algstr_4(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => k8_algstr_4(A, B)=k1_realset1(u2_algstr_0(A), B)) ) ) ) ).
fof(d12_algstr_4, axiom,  (! [A] :  (l3_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v15_algstr_0(C) & m1_algstr_4(C, A))  =>  (C=k9_algstr_4(A, B) <=>  (r1_tarski(B, u1_struct_0(C)) &  (! [D] :  ( (v15_algstr_0(D) & m1_algstr_4(D, A))  =>  (r1_tarski(B, u1_struct_0(D)) => m1_algstr_4(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_algstr_4, axiom,  (! [A] :  (l3_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_xboole_0(B) <=> v2_struct_0(k9_algstr_4(A, B))) ) ) ) ) ).
fof(t15_algstr_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_group_6(C, A, B) => k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, u1_struct_0(k9_algstr_4(A, D)))=u1_struct_0(k9_algstr_4(B, k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, D)))) ) ) ) ) ) ) ) ) ).
fof(d13_algstr_4, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(k1_yellow_6(k2_xboole_0(A, k4_ordinal1)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k1_yellow_6(k2_xboole_0(A, k4_ordinal1))))))) )  =>  (B=k10_algstr_4(A) <=>  (k8_nat_1(k9_setfam_1(k1_yellow_6(k2_xboole_0(A, k4_ordinal1))), B, k5_numbers)=k1_xboole_0 &  (k8_nat_1(k9_setfam_1(k1_yellow_6(k2_xboole_0(A, k4_ordinal1))), B, 1)=A &  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(2, C) &  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  ~ ( (k3_finseq_1(D)=k6_xcmplx_0(C, 1) &  ( (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, k6_xcmplx_0(C, 1)))  => k1_funct_1(D, E)=k2_zfmisc_1(k8_nat_1(k9_setfam_1(k1_yellow_6(k2_xboole_0(A, k4_ordinal1))), B, E), k1_funct_1(B, k6_xcmplx_0(C, E)))) ) )  & k8_nat_1(k9_setfam_1(k1_yellow_6(k2_xboole_0(A, k4_ordinal1))), B, C)=k3_card_3(k2_card_3(D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_algstr_4, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) => k11_algstr_4(A, B)=k8_nat_1(k9_setfam_1(k1_yellow_6(k2_xboole_0(A, k4_ordinal1))), k10_algstr_4(A), B)) ) ) ).
fof(t16_algstr_4, axiom,  (! [A] : k11_algstr_4(A, k5_numbers)=k1_xboole_0) ).
fof(t17_algstr_4, axiom,  (! [A] : k11_algstr_4(A, 1)=A) ).
fof(t18_algstr_4, axiom,  (! [A] : k11_algstr_4(A, 2)=k2_zfmisc_1(k2_zfmisc_1(A, A), k1_tarski(1))) ).
fof(t19_algstr_4, axiom,  (! [A] : k11_algstr_4(A, 3)=k2_xboole_0(k2_zfmisc_1(k2_zfmisc_1(A, k2_zfmisc_1(k2_zfmisc_1(A, A), k1_tarski(1))), k1_tarski(1)), k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_tarski(1)), A), k1_tarski(2)))) ).
fof(t20_algstr_4, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(2, B) &  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ~ ( (k3_finseq_1(C)=k6_xcmplx_0(B, 1) &  ( (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, k6_xcmplx_0(B, 1)))  => k1_funct_1(C, D)=k2_zfmisc_1(k11_algstr_4(A, D), k11_algstr_4(A, k7_nat_d(B, D)))) ) )  & k11_algstr_4(A, B)=k3_card_3(k2_card_3(C))) ) ) ) ) ) ) ) ) ) ).
fof(t21_algstr_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(2, C) &  (r2_tarski(B, k11_algstr_4(A, C)) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (k2_xfamily(B)=D &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k6_xcmplx_0(C, 1)) &  (r2_tarski(k1_xfamily(k1_xfamily(B)), k11_algstr_4(A, D)) &  (r2_tarski(k2_xfamily(k1_xfamily(B)), k11_algstr_4(A, E)) &  (C=k2_xcmplx_0(D, E) & r2_tarski(B, k2_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A, D), k11_algstr_4(A, E)), k1_tarski(D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_algstr_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(B, k11_algstr_4(A, D)) & r2_tarski(C, k11_algstr_4(A, E)))  => r2_hidden(k4_tarski(k4_tarski(B, C), D), k11_algstr_4(A, k2_xcmplx_0(D, E)))) ) ) ) ) ) ) ) ).
fof(t23_algstr_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  (r1_tarski(A, B) => r1_tarski(k11_algstr_4(A, C), k11_algstr_4(B, C))) ) ) ) ) ).
fof(d15_algstr_4, axiom,  (! [A] : k12_algstr_4(A)=k3_card_3(k2_card_3(k2_partfun1(k4_ordinal1, k9_setfam_1(k1_yellow_6(k2_xboole_0(A, k4_ordinal1))), k10_algstr_4(A), k6_nat_lat)))) ).
fof(t24_algstr_4, axiom,  (! [A] :  (A=k1_xboole_0 <=> k12_algstr_4(A)=k1_xboole_0) ) ).
fof(t25_algstr_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k12_algstr_4(A)) => r2_tarski(B, k2_zfmisc_1(k11_algstr_4(A, k2_xfamily(B)), k1_tarski(k2_xfamily(B))))) ) ) ) ).
fof(t26_algstr_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k12_algstr_4(A)) =>  (! [C] :  (m1_subset_1(C, k12_algstr_4(A)) => m1_subset_1(k4_tarski(k4_tarski(k4_tarski(k1_xfamily(B), k1_xfamily(C)), k2_xfamily(B)), k2_xcmplx_0(k2_xfamily(B), k2_xfamily(C))), k12_algstr_4(A))) ) ) ) ) ) ).
fof(t27_algstr_4, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) => r1_tarski(k12_algstr_4(A), k12_algstr_4(B))) ) ) ).
fof(t28_algstr_4, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  => r1_tarski(k2_zfmisc_1(k11_algstr_4(A, B), k1_tarski(B)), k12_algstr_4(A))) ) ) ) ).
fof(d16_algstr_4, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k12_algstr_4(A), k12_algstr_4(A)), k12_algstr_4(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k12_algstr_4(A), k12_algstr_4(A)), k12_algstr_4(A))))) )  =>  ( ( ~ (v1_xboole_0(A))  =>  (B=k13_algstr_4(A) <=>  (! [C] :  (m1_subset_1(C, k12_algstr_4(A)) =>  (! [D] :  (m1_subset_1(D, k12_algstr_4(A)) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (E=k2_xfamily(C) & F=k2_xfamily(D))  => k4_binop_1(k12_algstr_4(A), B, C, D)=k4_tarski(k4_tarski(k4_tarski(k1_xfamily(C), k1_xfamily(D)), k2_xfamily(C)), k2_xcmplx_0(E, F))) ) ) ) ) ) ) ) ) ) )  &  (v1_xboole_0(A) =>  (B=k13_algstr_4(A) <=> B=k1_xboole_0) ) ) ) ) ) ).
fof(d17_algstr_4, axiom,  (! [A] : k14_algstr_4(A)=g3_algstr_0(k12_algstr_4(A), k13_algstr_4(A))) ).
fof(t29_algstr_4, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => m1_algstr_4(k14_algstr_4(B), k14_algstr_4(A))) ) ) ).
fof(d18_algstr_4, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k14_algstr_4(A))) =>  ( ( ~ (v1_xboole_0(A))  => k15_algstr_4(A, B)=k2_xfamily(B))  &  (v1_xboole_0(A) => k15_algstr_4(A, B)=k5_numbers) ) ) ) ) ).
fof(t31_algstr_4, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k14_algstr_4(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_algstr_4(A))) =>  ( ~ (v1_xboole_0(A))  => k6_algstr_0(k14_algstr_4(A), B, C)=k4_tarski(k4_tarski(k4_tarski(k1_xfamily(B), k1_xfamily(C)), k2_xfamily(B)), k2_xcmplx_0(k15_algstr_4(A, B), k15_algstr_4(A, C)))) ) ) ) ) ) ).
fof(t32_algstr_4, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k14_algstr_4(A))) =>  ( ~ (v1_xboole_0(A))  =>  (B=k4_tarski(k1_xfamily(B), k2_xfamily(B)) & r1_xxreal_0(1, k15_algstr_4(A, B))) ) ) ) ) ).
fof(t33_algstr_4, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k14_algstr_4(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_algstr_4(A))) => k15_algstr_4(A, k6_algstr_0(k14_algstr_4(A), B, C))=k2_xcmplx_0(k15_algstr_4(A, B), k15_algstr_4(A, C))) ) ) ) ) ).
fof(t34_algstr_4, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k14_algstr_4(A))) =>  ~ ( (r1_xxreal_0(2, k15_algstr_4(A, B)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_algstr_4(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_algstr_4(A))) =>  ~ ( (B=k6_algstr_0(k14_algstr_4(A), C, D) &  ( ~ (r1_xxreal_0(k15_algstr_4(A, B), k15_algstr_4(A, C)))  &  ~ (r1_xxreal_0(k15_algstr_4(A, B), k15_algstr_4(A, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_algstr_4, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k14_algstr_4(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_algstr_4(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_algstr_4(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k14_algstr_4(A))) =>  (k6_algstr_0(k14_algstr_4(A), B, C)=k6_algstr_0(k14_algstr_4(A), D, E) =>  (B=D & C=E) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_algstr_4, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k11_algstr_4(A, B), u1_struct_0(k14_algstr_4(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A, B), u1_struct_0(k14_algstr_4(A)))))) )  =>  ( ( ~ (r1_xxreal_0(B, k5_numbers))  =>  (C=k16_algstr_4(A, B) <=>  (! [D] :  (r2_tarski(D, k1_relset_1(k11_algstr_4(A, B), C)) => k1_funct_1(C, D)=k4_tarski(D, B)) ) ) )  &  (r1_xxreal_0(B, k5_numbers) =>  (C=k16_algstr_4(A, B) <=> C=k1_xboole_0) ) ) ) ) ) ) ) ).
fof(t36_algstr_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k14_algstr_4(A)))) =>  (B=k7_relset_1(k11_algstr_4(A, 1), u1_struct_0(k14_algstr_4(A)), k16_algstr_4(A, 1), A) => k14_algstr_4(A)=k9_algstr_4(k14_algstr_4(A), B)) ) ) ) ) ).
fof(t37_algstr_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, u1_struct_0(k14_algstr_4(A))) &  (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_algstr_4(B, k14_algstr_4(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_algstr_4(A)), u1_struct_0(k14_algstr_4(A)))))) ) ) )  => k4_algstr_4(k14_algstr_4(A), B)=k9_algstr_4(k4_algstr_4(k14_algstr_4(A), B), k7_relset_1(u1_struct_0(k14_algstr_4(A)), u1_struct_0(k4_algstr_4(k14_algstr_4(A), B)), k5_algstr_4(k14_algstr_4(A), B), k7_relset_1(k11_algstr_4(A, 1), u1_struct_0(k14_algstr_4(A)), k16_algstr_4(A, 1), A)))) ) ) ) ).
fof(t38_algstr_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v1_funct_1(k1_partfun1(A, B, k11_algstr_4(B, 1), u1_struct_0(k14_algstr_4(B)), C, k16_algstr_4(B, 1))) &  (v1_funct_2(k1_partfun1(A, B, k11_algstr_4(B, 1), u1_struct_0(k14_algstr_4(B)), C, k16_algstr_4(B, 1)), A, u1_struct_0(k14_algstr_4(B))) & m1_subset_1(k1_partfun1(A, B, k11_algstr_4(B, 1), u1_struct_0(k14_algstr_4(B)), C, k16_algstr_4(B, 1)), k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k14_algstr_4(B)))))) ) ) ) ) ) ) ) ).
fof(d20_algstr_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (! [D] :  ( (v7_ordinal1(D) &  ~ (v8_ordinal1(D)) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k11_algstr_4(A, C), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A, C), u1_struct_0(B))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k11_algstr_4(A, D), u1_struct_0(B)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A, D), u1_struct_0(B))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A, C), k11_algstr_4(A, D)), k1_tarski(C)), u1_struct_0(B)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A, C), k11_algstr_4(A, D)), k1_tarski(C)), u1_struct_0(B))))) )  =>  (G=k17_algstr_4(A, B, C, D, E, F) <=>  (! [H] :  (m1_subset_1(H, k2_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A, C), k11_algstr_4(A, D)), k1_tarski(C))) =>  (! [I] :  (m1_subset_1(I, k11_algstr_4(A, C)) =>  (! [J] :  (m1_subset_1(J, k11_algstr_4(A, D)) =>  ( (I=k1_xfamily(k1_xfamily(H)) & J=k2_xfamily(k1_xfamily(H)))  => k3_funct_2(k2_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A, C), k11_algstr_4(A, D)), k1_tarski(C)), u1_struct_0(B), G, H)=k6_algstr_0(B, k3_funct_2(k11_algstr_4(A, C), u1_struct_0(B), E, I), k3_funct_2(k11_algstr_4(A, D), u1_struct_0(B), F, J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_algstr_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  =>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k14_algstr_4(A)), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_algstr_4(A)), u1_struct_0(B))))) )  &  (v1_group_6(D, k14_algstr_4(A), B) & r1_algstr_4(D, k3_relat_1(k2_funct_1(k16_algstr_4(A, 1)), C))) ) ) ) ) ) ) ) ) ).
fof(t40_algstr_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k14_algstr_4(A)), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_algstr_4(A)), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k14_algstr_4(A)), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_algstr_4(A)), u1_struct_0(B))))) )  =>  ( (v1_group_6(D, k14_algstr_4(A), B) &  (r1_algstr_4(D, k3_relat_1(k2_funct_1(k16_algstr_4(A, 1)), C)) &  (v1_group_6(E, k14_algstr_4(A), B) & r1_algstr_4(E, k3_relat_1(k2_funct_1(k16_algstr_4(A, 1)), C))) ) )  => r2_relset_1(u1_struct_0(k14_algstr_4(A)), u1_struct_0(B), D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_algstr_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & m1_algstr_4(D, B))  =>  (! [E] :  ( (v1_partfun1(E, u1_struct_0(A)) &  (v3_relat_2(E) &  (v8_relat_2(E) &  (v1_algstr_4(E, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) )  =>  ~ ( (v1_group_6(C, A, B) &  (u1_struct_0(D)=k2_relset_1(u1_struct_0(B), C) &  (r2_relset_1(u1_struct_0(A), u1_struct_0(A), E, k7_algstr_4(u1_struct_0(A), u1_struct_0(B), C)) &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k4_algstr_4(A, E)), u1_struct_0(D)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_algstr_4(A, E)), u1_struct_0(D))))) )  =>  ~ ( (r1_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(A), u1_struct_0(D), C, k1_partfun1(u1_struct_0(A), u1_struct_0(k4_algstr_4(A, E)), u1_struct_0(k4_algstr_4(A, E)), u1_struct_0(D), k5_algstr_4(A, E), F)) &  (v3_funct_2(F, u1_struct_0(k4_algstr_4(A, E)), u1_struct_0(D)) & v1_group_6(F, k4_algstr_4(A, E), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_algstr_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  =>  (! [C] :  ( (v1_partfun1(C, u1_struct_0(A)) &  (v3_relat_2(C) &  (v8_relat_2(C) &  (v1_algstr_4(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k4_algstr_4(A, C)), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_algstr_4(A, C)), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k4_algstr_4(A, C)), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_algstr_4(A, C)), u1_struct_0(B))))) )  =>  (r2_relset_1(u1_struct_0(A), u1_struct_0(B), k1_partfun1(u1_struct_0(A), u1_struct_0(k4_algstr_4(A, C)), u1_struct_0(k4_algstr_4(A, C)), u1_struct_0(B), k5_algstr_4(A, C), D), k1_partfun1(u1_struct_0(A), u1_struct_0(k4_algstr_4(A, C)), u1_struct_0(k4_algstr_4(A, C)), u1_struct_0(B), k5_algstr_4(A, C), E)) => r2_relset_1(u1_struct_0(k4_algstr_4(A, C)), u1_struct_0(B), D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_algstr_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (? [B] :  ( ~ (v1_xboole_0(B))  &  (? [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k2_zfmisc_1(u1_struct_0(k14_algstr_4(B)), u1_struct_0(k14_algstr_4(B)))) & v1_funct_1(C)) )  &  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k4_algstr_4(k14_algstr_4(B), k6_algstr_4(k14_algstr_4(B), C))), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_algstr_4(k14_algstr_4(B), k6_algstr_4(k14_algstr_4(B), C))), u1_struct_0(A))))) )  &  (v3_funct_2(D, u1_struct_0(k4_algstr_4(k14_algstr_4(B), k6_algstr_4(k14_algstr_4(B), C))), u1_struct_0(A)) & v1_group_6(D, k4_algstr_4(k14_algstr_4(B), k6_algstr_4(k14_algstr_4(B), C)), A)) ) ) ) ) ) ) ) ) ).
fof(d21_algstr_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k14_algstr_4(A)), u1_struct_0(k14_algstr_4(B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_algstr_4(A)), u1_struct_0(k14_algstr_4(B)))))) )  =>  (D=k18_algstr_4(A, B, C) <=>  (v1_group_6(D, k14_algstr_4(A), k14_algstr_4(B)) & r1_algstr_4(D, k3_relat_1(k2_funct_1(k16_algstr_4(A, 1)), k1_partfun1(A, B, k11_algstr_4(B, 1), u1_struct_0(k14_algstr_4(B)), C, k16_algstr_4(B, 1))))) ) ) ) ) ) ) ) ) ) ).
fof(t44_algstr_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  => r2_relset_1(u1_struct_0(k14_algstr_4(A)), u1_struct_0(k14_algstr_4(C)), k18_algstr_4(A, C, k1_partfun1(A, B, B, C, D, E)), k1_partfun1(u1_struct_0(k14_algstr_4(A)), u1_struct_0(k14_algstr_4(B)), u1_struct_0(k14_algstr_4(B)), u1_struct_0(k14_algstr_4(C)), k18_algstr_4(A, B, D), k18_algstr_4(B, C, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t45_algstr_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  =>  ( (r1_tarski(B, C) & r1_funct_2(A, B, A, C, D, E))  => r1_funct_2(u1_struct_0(k14_algstr_4(A)), u1_struct_0(k14_algstr_4(B)), u1_struct_0(k14_algstr_4(A)), u1_struct_0(k14_algstr_4(C)), k18_algstr_4(A, B, D), k18_algstr_4(A, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_algstr_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  => r1_funct_2(u1_struct_0(k14_algstr_4(A)), u1_struct_0(k14_algstr_4(A)), k1_relset_1(u1_struct_0(k14_algstr_4(A)), k18_algstr_4(A, B, C)), k1_relset_1(u1_struct_0(k14_algstr_4(A)), k18_algstr_4(A, B, C)), k18_algstr_4(A, A, k6_partfun1(A)), k6_partfun1(k1_relset_1(u1_struct_0(k14_algstr_4(A)), k18_algstr_4(A, B, C))))) ) ) ) ) ) ).
fof(t47_algstr_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v2_funct_1(C) => v2_funct_1(k18_algstr_4(A, B, C))) ) ) ) ) ) ) ).
fof(t48_algstr_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v2_funct_2(C, B) => v2_funct_2(k18_algstr_4(A, B, C), u1_struct_0(k14_algstr_4(B)))) ) ) ) ) ) ) ).
fof(s1_algstr_4, axiom,  ( ( (k9_xtuple_0(f2_s1_algstr_4)=k4_ordinal1 &  (! [A] :  (v7_ordinal1(A) => k1_funct_1(f2_s1_algstr_4, A)=f1_s1_algstr_4(k5_relat_1(f2_s1_algstr_4, A))) ) )  &  (k9_xtuple_0(f3_s1_algstr_4)=k4_ordinal1 &  (! [A] :  (v7_ordinal1(A) => k1_funct_1(f3_s1_algstr_4, A)=f1_s1_algstr_4(k5_relat_1(f3_s1_algstr_4, A))) ) ) )  => f2_s1_algstr_4=f3_s1_algstr_4) ).
fof(s2_algstr_4, axiom,  (? [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  &  (k9_xtuple_0(A)=k4_ordinal1 &  (! [B] :  (v7_ordinal1(B) => k1_funct_1(A, B)=f1_s2_algstr_4(k5_relat_1(A, B))) ) ) ) ) ).
fof(s3_algstr_4, axiom,  ( ( (! [A] :  (v7_ordinal1(A) => k8_nat_1(f1_s3_algstr_4, f3_s3_algstr_4, A)=f2_s3_algstr_4(k2_partfun1(k4_ordinal1, f1_s3_algstr_4, f3_s3_algstr_4, A))) )  &  (! [A] :  (v7_ordinal1(A) => k8_nat_1(f1_s3_algstr_4, f4_s3_algstr_4, A)=f2_s3_algstr_4(k2_partfun1(k4_ordinal1, f1_s3_algstr_4, f4_s3_algstr_4, A))) ) )  => r2_relset_1(k4_ordinal1, f1_s3_algstr_4, f3_s3_algstr_4, f4_s3_algstr_4)) ).
fof(s4_algstr_4, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, f1_s4_algstr_4) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f1_s4_algstr_4)))) )  &  (! [B] :  (v7_ordinal1(B) => k8_nat_1(f1_s4_algstr_4, A, B)=f2_s4_algstr_4(k2_partfun1(k4_ordinal1, f1_s4_algstr_4, A, B))) ) ) ) ).
fof(dt_k1_algstr_4, axiom,  (! [A, B] :  (v1_relat_1(k1_algstr_4(A, B)) &  (v5_relat_1(k1_algstr_4(A, B), A) &  (v5_ordinal1(k1_algstr_4(A, B)) &  (v1_funct_1(k1_algstr_4(A, B)) & v1_finset_1(k1_algstr_4(A, B))) ) ) ) ) ).
fof(dt_k2_algstr_4, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k8_afinsq_1(A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), A)))) )  &  (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) ) )  => m1_subset_1(k2_algstr_4(A, B, C), A)) ) ).
fof(redefinition_k2_algstr_4, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k8_afinsq_1(A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), A)))) )  &  (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) ) )  => k2_algstr_4(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_f2_s1_algstr_4, axiom,  (v1_relat_1(f2_s1_algstr_4) & v1_funct_1(f2_s1_algstr_4)) ).
fof(dt_f3_s1_algstr_4, axiom,  (v1_relat_1(f3_s1_algstr_4) & v1_funct_1(f3_s1_algstr_4)) ).
fof(dt_f1_s3_algstr_4, axiom,  ~ (v1_xboole_0(f1_s3_algstr_4)) ).
fof(dt_f2_s3_algstr_4, axiom,  (! [A] : m1_subset_1(f2_s3_algstr_4(A), f1_s3_algstr_4)) ).
fof(dt_f3_s3_algstr_4, axiom,  (v1_funct_1(f3_s3_algstr_4) &  (v1_funct_2(f3_s3_algstr_4, k4_ordinal1, f1_s3_algstr_4) & m1_subset_1(f3_s3_algstr_4, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f1_s3_algstr_4)))) ) ).
fof(dt_f4_s3_algstr_4, axiom,  (v1_funct_1(f4_s3_algstr_4) &  (v1_funct_2(f4_s3_algstr_4, k4_ordinal1, f1_s3_algstr_4) & m1_subset_1(f4_s3_algstr_4, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f1_s3_algstr_4)))) ) ).
fof(dt_f1_s4_algstr_4, axiom,  ~ (v1_xboole_0(f1_s4_algstr_4)) ).
fof(dt_f2_s4_algstr_4, axiom,  (! [A] : m1_subset_1(f2_s4_algstr_4(A), f1_s4_algstr_4)) ).
fof(dt_k3_algstr_4, axiom,  (! [A, B] :  ( (l3_algstr_0(A) &  (v1_partfun1(B, u1_struct_0(A)) &  (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_algstr_4(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k3_algstr_4(A, B)) &  (v1_funct_2(k3_algstr_4(A, B), k2_zfmisc_1(k8_eqrel_1(u1_struct_0(A), B), k8_eqrel_1(u1_struct_0(A), B)), k8_eqrel_1(u1_struct_0(A), B)) & m1_subset_1(k3_algstr_4(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(u1_struct_0(A), B), k8_eqrel_1(u1_struct_0(A), B)), k8_eqrel_1(u1_struct_0(A), B))))) ) ) ) ).
fof(dt_k4_algstr_4, axiom,  (! [A, B] :  ( (l3_algstr_0(A) &  (v1_partfun1(B, u1_struct_0(A)) &  (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_algstr_4(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) )  => l3_algstr_0(k4_algstr_4(A, B))) ) ).
fof(dt_k5_algstr_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  (v1_partfun1(B, u1_struct_0(A)) &  (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_algstr_4(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k5_algstr_4(A, B)) &  (v1_funct_2(k5_algstr_4(A, B), u1_struct_0(A), u1_struct_0(k4_algstr_4(A, B))) & m1_subset_1(k5_algstr_4(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k4_algstr_4(A, B)))))) ) ) ) ).
fof(dt_k6_algstr_4, axiom,  (! [A, B] :  ( (l3_algstr_0(A) &  (v1_relat_1(B) &  (v5_relat_1(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) & v1_funct_1(B)) ) )  =>  (v1_partfun1(k6_algstr_4(A, B), u1_struct_0(A)) &  (v3_relat_2(k6_algstr_4(A, B)) &  (v8_relat_2(k6_algstr_4(A, B)) & m1_subset_1(k6_algstr_4(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ) ).
fof(dt_k7_algstr_4, axiom,  (! [A, B, C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v1_partfun1(k7_algstr_4(A, B, C), A) &  (v3_relat_2(k7_algstr_4(A, B, C)) &  (v8_relat_2(k7_algstr_4(A, B, C)) & m1_subset_1(k7_algstr_4(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ).
fof(dt_m1_algstr_4, axiom,  (! [A] :  (l3_algstr_0(A) =>  (! [B] :  (m1_algstr_4(B, A) => l3_algstr_0(B)) ) ) ) ).
fof(existence_m1_algstr_4, axiom,  (! [A] :  (l3_algstr_0(A) =>  (? [B] : m1_algstr_4(B, A)) ) ) ).
fof(dt_k8_algstr_4, axiom,  (! [A, B] :  ( (l3_algstr_0(A) &  (v2_algstr_4(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (v1_funct_1(k8_algstr_4(A, B)) &  (v1_funct_2(k8_algstr_4(A, B), k2_zfmisc_1(B, B), B) & m1_subset_1(k8_algstr_4(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) ) ) ) ).
fof(dt_k9_algstr_4, axiom,  (! [A, B] :  ( (l3_algstr_0(A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v15_algstr_0(k9_algstr_4(A, B)) & m1_algstr_4(k9_algstr_4(A, B), A)) ) ) ).
fof(dt_k10_algstr_4, axiom,  (! [A] :  (v1_funct_1(k10_algstr_4(A)) &  (v1_funct_2(k10_algstr_4(A), k4_ordinal1, k9_setfam_1(k1_yellow_6(k2_xboole_0(A, k4_ordinal1)))) & m1_subset_1(k10_algstr_4(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k1_yellow_6(k2_xboole_0(A, k4_ordinal1))))))) ) ) ).
fof(dt_k13_algstr_4, axiom,  (! [A] :  (v1_funct_1(k13_algstr_4(A)) &  (v1_funct_2(k13_algstr_4(A), k2_zfmisc_1(k12_algstr_4(A), k12_algstr_4(A)), k12_algstr_4(A)) & m1_subset_1(k13_algstr_4(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k12_algstr_4(A), k12_algstr_4(A)), k12_algstr_4(A))))) ) ) ).
fof(dt_k14_algstr_4, axiom,  (! [A] : l3_algstr_0(k14_algstr_4(A))) ).
fof(dt_k15_algstr_4, axiom,  (! [A, B] :  (m1_subset_1(B, u1_struct_0(k14_algstr_4(A))) => v7_ordinal1(k15_algstr_4(A, B))) ) ).
fof(dt_k16_algstr_4, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (v1_funct_1(k16_algstr_4(A, B)) &  (v1_funct_2(k16_algstr_4(A, B), k11_algstr_4(A, B), u1_struct_0(k14_algstr_4(A))) & m1_subset_1(k16_algstr_4(A, B), k1_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A, B), u1_struct_0(k14_algstr_4(A)))))) ) ) ) ).
fof(dt_k17_algstr_4, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  &  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  &  ( (v7_ordinal1(D) &  ~ (v8_ordinal1(D)) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, k11_algstr_4(A, C), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A, C), u1_struct_0(B))))) )  &  (v1_funct_1(F) &  (v1_funct_2(F, k11_algstr_4(A, D), u1_struct_0(B)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A, D), u1_struct_0(B))))) ) ) ) ) ) )  =>  (v1_funct_1(k17_algstr_4(A, B, C, D, E, F)) &  (v1_funct_2(k17_algstr_4(A, B, C, D, E, F), k2_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A, C), k11_algstr_4(A, D)), k1_tarski(C)), u1_struct_0(B)) & m1_subset_1(k17_algstr_4(A, B, C, D, E, F), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A, C), k11_algstr_4(A, D)), k1_tarski(C)), u1_struct_0(B))))) ) ) ) ).
fof(dt_k18_algstr_4, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) )  =>  (v1_funct_1(k18_algstr_4(A, B, C)) &  (v1_funct_2(k18_algstr_4(A, B, C), u1_struct_0(k14_algstr_4(A)), u1_struct_0(k14_algstr_4(B))) & m1_subset_1(k18_algstr_4(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_algstr_4(A)), u1_struct_0(k14_algstr_4(B)))))) ) ) ) ).
fof(d7_algstr_4, axiom,  (! [A] :  (l3_algstr_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) & v1_funct_1(B)) )  => k6_algstr_4(A, B)=k1_setfam_1(a_2_0_algstr_4(A, B))) ) ) ) ).
fof(t13_algstr_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ( (v1_group_6(C, A, B) & v1_group_6(D, A, B))  =>  (v2_algstr_4(a_4_0_algstr_4(A, B, C, D), A) & m1_subset_1(a_4_0_algstr_4(A, B, C, D), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ) ) ) ) ).
fof(t30_algstr_4, axiom,  (! [A] : A=a_1_0_algstr_4(A)) ).
fof(fraenkel_a_2_0_algstr_4, axiom,  (! [A, B, C] :  ( (l3_algstr_0(B) &  (v1_relat_1(C) &  (v5_relat_1(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))) & v1_funct_1(C)) ) )  =>  (r2_hidden(A, a_2_0_algstr_4(B, C)) <=>  (? [D] :  ( (v1_partfun1(D, u1_struct_0(B)) &  (v3_relat_2(D) &  (v8_relat_2(D) &  (v1_algstr_4(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))))) ) ) )  &  (A=D &  (! [E] :  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  ( (r2_tarski(E, k9_xtuple_0(C)) & k1_funct_1(C, E)=k4_tarski(F, G))  => r2_tarski(F, k6_eqrel_1(u1_struct_0(B), u1_struct_0(B), D, G))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_algstr_4, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  &  ( ( ~ (v2_struct_0(C))  & l3_algstr_0(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) )  =>  (r2_hidden(A, a_4_0_algstr_4(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (A=F & k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, F)=k3_funct_2(u1_struct_0(B), u1_struct_0(C), E, F)) ) ) ) ) ) ).
fof(fraenkel_a_1_0_algstr_4, axiom,  (! [A, B] :  (r2_hidden(A, a_1_0_algstr_4(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k14_algstr_4(B))) &  (A=k1_xfamily(C) & k15_algstr_4(B, C)=1) ) ) ) ) ).
fof(cc1_ali2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) =>  ( (v1_funct_1(B) &  (v3_funct_1(B) & v1_funct_2(B, u1_struct_0(A), u1_struct_0(A))) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & v1_ali2(B, A)) ) ) ) ) ) ) ).
fof(rc1_ali2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v3_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v1_funct_2(B, u1_struct_0(A), u1_struct_0(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_ali2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (v1_ali2(B, A) <=>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  ( ~ (r1_xxreal_0(1, C))  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => r1_xxreal_0(k3_metric_1(A, k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, D), k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, E)), k3_xcmplx_0(C, k3_metric_1(A, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_ali2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v1_ali2(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  ~ ( (v1_compts_1(k3_pcomps_1(A)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, C)=C &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, D)=D => D=C) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_altcat_1, axiom,  (? [A] :  (l1_altcat_1(A) & v1_altcat_1(A)) ) ).
fof(rc2_altcat_1, axiom,  (? [A] :  (l2_altcat_1(A) & v6_altcat_1(A)) ) ).
fof(rc3_altcat_1, axiom,  (? [A] :  (l2_altcat_1(A) &  ( ~ (v2_struct_0(A))  & v6_altcat_1(A)) ) ) ).
fof(rc4_altcat_1, axiom,  (! [A, B] :  ( (v4_funct_1(A) & v4_funct_1(B))  =>  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, k2_zfmisc_1(A, B)) &  (v1_funct_1(C) &  (v1_partfun1(C, k2_zfmisc_1(A, B)) &  (v1_funcop_1(C) &  (v2_funcop_1(C) & v7_altcat_1(C)) ) ) ) ) ) ) ) ) ).
fof(fc1_altcat_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k2_zfmisc_1(A, A)) &  (v1_funct_1(B) & v1_partfun1(B, k2_zfmisc_1(A, A))) ) )  & m2_pboole(C, k3_zfmisc_1(A, A, A), k3_altcat_1(A, B, B), k2_altcat_1(A, B))) )  =>  ( ~ (v2_struct_0(g2_altcat_1(A, B, C)))  & v6_altcat_1(g2_altcat_1(A, B, C))) ) ) ).
fof(rc5_altcat_1, axiom,  (? [A] :  (l2_altcat_1(A) &  ( ~ (v2_struct_0(A))  &  (v6_altcat_1(A) & v10_altcat_1(A)) ) ) ) ).
fof(rc6_altcat_1, axiom,  (? [A] :  (l2_altcat_1(A) &  ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v6_altcat_1(A) &  (v11_altcat_1(A) & v12_altcat_1(A)) ) ) ) ) ) ).
fof(fc2_altcat_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k7_altcat_1(A)))  &  (v2_altcat_1(k7_altcat_1(A)) &  (v6_altcat_1(k7_altcat_1(A)) &  (v10_altcat_1(k7_altcat_1(A)) &  (v11_altcat_1(k7_altcat_1(A)) & v12_altcat_1(k7_altcat_1(A))) ) ) ) ) ) ) ).
fof(cc1_altcat_1, axiom,  (! [A] :  (l2_altcat_1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v8_altcat_1(A) & v9_altcat_1(A)) ) )  =>  ( ~ (v2_struct_0(A))  & v10_altcat_1(A)) ) ) ) ).
fof(cc2_altcat_1, axiom,  (! [A] :  (l2_altcat_1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v10_altcat_1(A) & v12_altcat_1(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  (v8_altcat_1(A) & v9_altcat_1(A)) ) ) ) ) ).
fof(cc3_altcat_1, axiom,  (! [A] :  (l2_altcat_1(A) =>  (v13_struct_0(A, 1) => v13_altcat_1(A)) ) ) ).
fof(rc7_altcat_1, axiom,  (? [A] :  (l2_altcat_1(A) &  ( ~ (v2_struct_0(A))  &  (v7_struct_0(A) &  (v2_altcat_1(A) &  (v6_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & v14_altcat_1(A)) ) ) ) ) ) ) ) ).
fof(rc8_altcat_1, axiom,  (? [A] :  (l2_altcat_1(A) &  ( ~ (v2_struct_0(A))  &  (v7_struct_0(A) &  (v2_altcat_1(A) &  (v6_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) &  (v13_altcat_1(A) & v14_altcat_1(A)) ) ) ) ) ) ) ) ) ).
fof(cc4_altcat_1, axiom,  (! [A] :  (l2_altcat_1(A) =>  (v13_altcat_1(A) => v2_altcat_1(A)) ) ) ).
fof(fc3_altcat_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k9_altcat_1(A)))  &  (v6_altcat_1(k9_altcat_1(A)) &  (v10_altcat_1(k9_altcat_1(A)) &  (v11_altcat_1(k9_altcat_1(A)) &  (v12_altcat_1(k9_altcat_1(A)) &  (v13_altcat_1(k9_altcat_1(A)) & v14_altcat_1(k9_altcat_1(A))) ) ) ) ) ) ) ) ).
fof(t5_altcat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k2_zfmisc_1(B, A)) &  (v1_funct_1(C) & v1_partfun1(C, k2_zfmisc_1(B, A))) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(B)) =>  (! [F] :  (! [G] :  ( (r2_tarski(F, D) & r2_tarski(G, E))  => k1_binop_1(C, G, F)=k1_binop_1(k5_relat_1(C, k8_mcart_1(B, A, E, D)), G, F)) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_altcat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k2_zfmisc_1(A, B)) &  (v1_funct_1(C) & v1_partfun1(C, k2_zfmisc_1(A, B))) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k2_zfmisc_1(A, B)) &  (v1_funct_1(D) & v1_partfun1(D, k2_zfmisc_1(A, B))) ) )  =>  ( (! [E] :  (! [F] :  ( (r2_hidden(E, A) & r2_hidden(F, B))  => k1_binop_1(C, E, F)=k1_binop_1(D, E, F)) ) )  => r6_pboole(k2_zfmisc_1(A, B), D, C)) ) ) ) ) ) ) ).
fof(t7_altcat_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k2_zfmisc_1(A, B)) &  (v1_funct_1(C) & v1_partfun1(C, k2_zfmisc_1(A, B))) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k2_zfmisc_1(A, B)) &  (v1_funct_1(D) & v1_partfun1(D, k2_zfmisc_1(A, B))) ) )  =>  ( (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, B) => k1_binop_1(C, E, F)=k1_binop_1(D, E, F)) ) ) )  => r8_pboole(k2_zfmisc_1(A, B), D, C)) ) ) ) ) ) ) ) ) ).
fof(t8_altcat_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k3_zfmisc_1(A, A, A)) &  (v1_funct_1(B) & v1_partfun1(B, k3_zfmisc_1(A, A, A))) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k3_zfmisc_1(A, A, A)) &  (v1_funct_1(C) & v1_partfun1(C, k3_zfmisc_1(A, A, A))) ) )  =>  ( (! [D] :  (! [E] :  (! [F] :  ( (r2_hidden(D, A) &  (r2_hidden(E, A) & r2_hidden(F, A)) )  => k1_multop_1(B, D, E, F)=k1_multop_1(C, D, E, F)) ) ) )  => r6_pboole(k3_zfmisc_1(A, A, A), C, B)) ) ) ) ) ) ).
fof(d1_altcat_1, axiom,  (! [A] :  (l1_altcat_1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_altcat_1(A, B, C)=k1_binop_1(u1_altcat_1(A), B, C)) ) ) ) ) ) ).
fof(d2_altcat_1, axiom,  (! [A] :  (l1_altcat_1(A) =>  (v2_altcat_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (k1_altcat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k1_altcat_1(A, C, D)=k1_xboole_0)  & k1_altcat_1(A, B, D)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_altcat_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k2_zfmisc_1(A, A)) &  (v1_funct_1(B) & v1_partfun1(B, k2_zfmisc_1(A, A))) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k3_zfmisc_1(A, A, A)) &  (v1_funct_1(C) & v1_partfun1(C, k3_zfmisc_1(A, A, A))) ) )  =>  (C=k2_altcat_1(A, B) <=>  (! [D] :  (! [E] :  (! [F] :  ( (r2_hidden(D, A) &  (r2_hidden(E, A) & r2_hidden(F, A)) )  => k1_multop_1(C, D, E, F)=k1_binop_1(B, D, F)) ) ) ) ) ) ) ) ) ) ).
fof(d4_altcat_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k2_zfmisc_1(A, A)) &  (v1_funct_1(B) & v1_partfun1(B, k2_zfmisc_1(A, A))) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k2_zfmisc_1(A, A)) &  (v1_funct_1(C) & v1_partfun1(C, k2_zfmisc_1(A, A))) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k3_zfmisc_1(A, A, A)) &  (v1_funct_1(D) & v1_partfun1(D, k3_zfmisc_1(A, A, A))) ) )  =>  (D=k3_altcat_1(A, B, C) <=>  (! [E] :  (! [F] :  (! [G] :  ( (r2_hidden(E, A) &  (r2_hidden(F, A) & r2_hidden(G, A)) )  => k1_multop_1(D, E, F, G)=k2_zfmisc_1(k1_binop_1(C, F, G), k1_binop_1(B, E, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_altcat_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k2_zfmisc_1(A, A)) &  (v1_funct_1(B) & v1_partfun1(B, k2_zfmisc_1(A, A))) ) )  =>  (! [C] :  (m2_pboole(C, k3_zfmisc_1(A, A, A), k3_altcat_1(A, B, B), k2_altcat_1(A, B)) =>  (v3_altcat_1(C, A, B) <=>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) =>  (! [H] :  (! [I] :  (! [J] :  ( (r2_tarski(H, k1_binop_1(B, D, E)) &  (r2_tarski(I, k1_binop_1(B, E, F)) & r2_tarski(J, k1_binop_1(B, F, G))) )  => k1_binop_1(k4_altcat_1(A, B, C, D, F, G), J, k1_binop_1(k4_altcat_1(A, B, C, D, E, F), I, H))=k1_binop_1(k4_altcat_1(A, B, C, D, E, G), k1_binop_1(k4_altcat_1(A, B, C, E, F, G), J, I), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_altcat_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k2_zfmisc_1(A, A)) &  (v1_funct_1(B) & v1_partfun1(B, k2_zfmisc_1(A, A))) ) )  =>  (! [C] :  (m2_pboole(C, k3_zfmisc_1(A, A, A), k3_altcat_1(A, B, B), k2_altcat_1(A, B)) =>  (v4_altcat_1(C, A, B) <=>  (! [D] :  (m1_subset_1(D, A) =>  (? [E] :  (r2_tarski(E, k1_binop_1(B, D, D)) &  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (r2_tarski(G, k1_binop_1(B, D, F)) => k1_binop_1(k4_altcat_1(A, B, C, D, D, F), G, E)=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_altcat_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k2_zfmisc_1(A, A)) &  (v1_funct_1(B) & v1_partfun1(B, k2_zfmisc_1(A, A))) ) )  =>  (! [C] :  (m2_pboole(C, k3_zfmisc_1(A, A, A), k3_altcat_1(A, B, B), k2_altcat_1(A, B)) =>  (v5_altcat_1(C, A, B) <=>  (! [D] :  (m1_subset_1(D, A) =>  (? [E] :  (r2_tarski(E, k1_binop_1(B, D, D)) &  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (r2_tarski(G, k1_binop_1(B, F, D)) => k1_binop_1(k4_altcat_1(A, B, C, F, D, D), E, G)=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_altcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (k1_altcat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k1_altcat_1(A, C, D)=k1_xboole_0)  &  ~ ( (! [E] :  (m1_subset_1(E, k1_altcat_1(A, B, C)) =>  (! [F] :  (m1_subset_1(F, k1_altcat_1(A, C, D)) => k5_altcat_1(A, B, C, D, E, F)=k1_binop_1(k4_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A), B, C, D), F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_altcat_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v7_altcat_1(A) <=>  (! [B] :  ~ ( (r2_hidden(B, k9_xtuple_0(A)) &  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ~ ( (B=k4_tarski(D, C) & k1_funct_1(A, B)=k3_relat_1(C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_altcat_1, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  (v4_funct_1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k2_zfmisc_1(A, B)) &  (v1_funct_1(C) &  (v1_partfun1(C, k2_zfmisc_1(A, B)) & v7_altcat_1(C)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  ( (r2_tarski(D, A) & r2_tarski(E, B))  => k1_binop_1(C, D, E)=k3_relat_1(E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_altcat_1, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  (v4_funct_1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k2_zfmisc_1(B, A)) &  (v1_funct_1(C) &  (v1_partfun1(C, k2_zfmisc_1(B, A)) &  (v1_funcop_1(C) & v7_altcat_1(C)) ) ) ) )  => C=k6_altcat_1(A, B)) ) ) ) ) ) ).
fof(t12_altcat_1, axiom,  (! [A] :  (! [B] :  (! [C] : r1_tarski(k10_xtuple_0(k6_altcat_1(k1_funct_2(A, B), k1_funct_2(B, C))), k1_funct_2(A, C))) ) ) ).
fof(t13_altcat_1, axiom,  (! [A] : r8_pboole(k2_zfmisc_1(k1_tarski(k4_relat_1(A)), k1_tarski(k4_relat_1(A))), k6_altcat_1(k1_tarski(k4_relat_1(A)), k1_tarski(k4_relat_1(A))), k18_funcop_1(k4_relat_1(A), k4_relat_1(A), k4_relat_1(A)))) ).
fof(t14_altcat_1, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  (v4_funct_1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) => k6_altcat_1(C, D)=k5_relat_1(k6_altcat_1(A, B), k8_mcart_1(B, A, D, C))) ) ) ) ) ) ) ) ).
fof(d11_altcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (v8_altcat_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_tarski(k1_altcat_1(A, B, C), k1_funct_2(B, C))) ) ) ) ) ) ) ).
fof(d12_altcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (v9_altcat_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (k1_altcat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k1_altcat_1(A, C, D)=k1_xboole_0)  &  ( ~ (k1_altcat_1(A, B, D)=k1_xboole_0)  &  (? [E] :  (m1_subset_1(E, k1_altcat_1(A, B, C)) &  (? [F] :  (m1_subset_1(F, k1_altcat_1(A, C, D)) &  (? [G] :  ( (v1_relat_1(G) & v1_funct_1(G))  &  (? [H] :  ( (v1_relat_1(H) & v1_funct_1(H))  &  (E=G &  (F=H &  ~ (k5_altcat_1(A, B, C, D, E, F)=k3_relat_1(G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_altcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (v10_altcat_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k4_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A), B, C, D)=k5_relat_1(k6_altcat_1(k1_funct_2(B, C), k1_funct_2(C, D)), k2_zfmisc_1(k1_altcat_1(A, C, D), k1_altcat_1(A, B, C)))) ) ) ) ) ) ) ) ) ).
fof(t15_altcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (v1_funct_1(k4_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A), B, C, D)) &  (v1_funct_2(k4_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A), B, C, D), k2_zfmisc_1(k1_altcat_1(A, C, D), k1_altcat_1(A, B, C)), k1_altcat_1(A, B, D)) & m1_subset_1(k4_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A), B, C, D), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_altcat_1(A, C, D), k1_altcat_1(A, B, C)), k1_altcat_1(A, B, D))))) ) ) ) ) ) ) ) ) ) ).
fof(t16_altcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_altcat_1(A) & l2_altcat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (k1_altcat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k1_altcat_1(A, C, D)=k1_xboole_0)  &  ( ~ (k1_altcat_1(A, B, D)=k1_xboole_0)  &  (? [E] :  (m1_subset_1(E, k1_altcat_1(A, B, C)) &  (? [F] :  (m1_subset_1(F, k1_altcat_1(A, C, D)) &  (? [G] :  ( (v1_relat_1(G) & v1_funct_1(G))  &  (? [H] :  ( (v1_relat_1(H) & v1_funct_1(H))  &  (E=G &  (F=H &  ~ (k5_altcat_1(A, B, C, D, E, F)=k3_relat_1(G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_altcat_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_altcat_1(B) &  (v10_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (B=k7_altcat_1(A) <=>  (u1_struct_0(B)=A &  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k1_altcat_1(B, C, D)=k1_funct_2(C, D)) ) ) ) ) ) ) ) ) ) ).
fof(d15_altcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (v11_altcat_1(A) <=> v3_altcat_1(u2_altcat_1(A), u1_struct_0(A), u1_altcat_1(A))) ) ) ).
fof(d16_altcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (v12_altcat_1(A) <=>  (v5_altcat_1(u2_altcat_1(A), u1_struct_0(A), u1_altcat_1(A)) & v4_altcat_1(u2_altcat_1(A), u1_struct_0(A), u1_altcat_1(A))) ) ) ) ).
fof(t17_altcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) & l2_altcat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k1_relset_1(k2_zfmisc_1(k1_binop_1(u1_altcat_1(A), C, D), k1_binop_1(u1_altcat_1(A), B, C)), k4_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A), B, C, D))=k2_zfmisc_1(k1_altcat_1(A, C, D), k1_altcat_1(A, B, C)) & r1_tarski(k10_xtuple_0(k4_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A), B, C, D)), k1_altcat_1(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t18_altcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v12_altcat_1(A) & l2_altcat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ (k1_altcat_1(A, B, B)=k1_xboole_0) ) ) ) ) ).
fof(d17_altcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v12_altcat_1(A) & l2_altcat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_altcat_1(A, B, B)) =>  (C=k8_altcat_1(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ~ (k1_altcat_1(A, B, D)=k1_xboole_0)  =>  (! [E] :  (m1_subset_1(E, k1_altcat_1(A, B, D)) => k5_altcat_1(A, B, B, D, C, E)=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_altcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v12_altcat_1(A) & l2_altcat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r2_tarski(k8_altcat_1(A, B), k1_altcat_1(A, B, B))) ) ) ) ).
fof(t20_altcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v12_altcat_1(A) & l2_altcat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (k1_altcat_1(A, B, C)=k1_xboole_0)  =>  (! [D] :  (m1_subset_1(D, k1_altcat_1(A, B, C)) => k5_altcat_1(A, B, C, C, D, k8_altcat_1(A, C))=D) ) ) ) ) ) ) ) ) ).
fof(t21_altcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (k1_altcat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k1_altcat_1(A, C, D)=k1_xboole_0)  &  ( ~ (k1_altcat_1(A, D, E)=k1_xboole_0)  &  ~ ( (! [F] :  (m1_subset_1(F, k1_altcat_1(A, B, C)) =>  (! [G] :  (m1_subset_1(G, k1_altcat_1(A, C, D)) =>  (! [H] :  (m1_subset_1(H, k1_altcat_1(A, D, E)) => k5_altcat_1(A, B, D, E, k5_altcat_1(A, B, C, D, F, G), H)=k5_altcat_1(A, B, C, E, F, k5_altcat_1(A, C, D, E, G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_altcat_1, axiom,  (! [A] :  (l2_altcat_1(A) =>  (v13_altcat_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (k1_altcat_1(A, B, C)=k1_xboole_0)  => B=C) ) ) ) ) ) ) ) ).
fof(d19_altcat_1, axiom,  (! [A] :  (l2_altcat_1(A) =>  (v14_altcat_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v1_zfmisc_1(k1_altcat_1(A, B, B))) ) ) ) ) ).
fof(t22_altcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v12_altcat_1(A) & l2_altcat_1(A)) )  =>  (v14_altcat_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_altcat_1(A, B, B)=k1_tarski(k8_altcat_1(A, B))) ) ) ) ) ).
fof(t23_altcat_1, axiom,  (v14_altcat_1(k7_altcat_1(k1_tarski(k5_numbers))) & v13_struct_0(k7_altcat_1(k1_tarski(k5_numbers)), 1)) ).
fof(d20_altcat_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_altcat_1(B) &  (v13_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (B=k9_altcat_1(A) <=>  (u1_struct_0(B)=A &  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k1_altcat_1(B, C, C)=k1_tarski(k4_relat_1(C))) ) ) ) ) ) ) ) ).
fof(t24_altcat_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_altcat_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_altcat_1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_altcat_1(A))) =>  ( ~ ( (B=C & C=D) )  => k4_altcat_1(u1_struct_0(k9_altcat_1(A)), u1_altcat_1(k9_altcat_1(A)), u2_altcat_1(k9_altcat_1(A)), B, C, D)=k1_xboole_0) ) ) ) ) ) ) ) ) ).
fof(t25_altcat_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_altcat_1(A))) => k4_altcat_1(u1_struct_0(k9_altcat_1(A)), u1_altcat_1(k9_altcat_1(A)), u2_altcat_1(k9_altcat_1(A)), B, B, B)=k18_funcop_1(k4_relat_1(B), k4_relat_1(B), k4_relat_1(B))) ) ) ) ).
fof(s1_altcat_1, axiom,  (? [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k2_zfmisc_1(f1_s1_altcat_1, f2_s1_altcat_1)) &  (v1_funct_1(A) & v1_partfun1(A, k2_zfmisc_1(f1_s1_altcat_1, f2_s1_altcat_1))) ) )  &  (! [B] :  (! [C] :  ( (r2_tarski(B, f1_s1_altcat_1) & r2_tarski(C, f2_s1_altcat_1))  => k1_binop_1(A, B, C)=f3_s1_altcat_1(B, C)) ) ) ) ) ).
fof(s2_altcat_1, axiom,  (? [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k2_zfmisc_1(f1_s2_altcat_1, f2_s2_altcat_1)) &  (v1_funct_1(A) & v1_partfun1(A, k2_zfmisc_1(f1_s2_altcat_1, f2_s2_altcat_1))) ) )  &  (! [B] :  (m1_subset_1(B, f1_s2_altcat_1) =>  (! [C] :  (m1_subset_1(C, f2_s2_altcat_1) => k1_binop_1(A, B, C)=f3_s2_altcat_1(B, C)) ) ) ) ) ) ).
fof(s3_altcat_1, axiom,  (? [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k3_zfmisc_1(f1_s3_altcat_1, f2_s3_altcat_1, f3_s3_altcat_1)) &  (v1_funct_1(A) & v1_partfun1(A, k3_zfmisc_1(f1_s3_altcat_1, f2_s3_altcat_1, f3_s3_altcat_1))) ) )  &  (! [B] :  (! [C] :  (! [D] :  ( (r2_tarski(B, f1_s3_altcat_1) &  (r2_tarski(C, f2_s3_altcat_1) & r2_tarski(D, f3_s3_altcat_1)) )  => k1_multop_1(A, B, C, D)=f4_s3_altcat_1(B, C, D)) ) ) ) ) ) ).
fof(s4_altcat_1, axiom,  (? [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k3_zfmisc_1(f1_s4_altcat_1, f2_s4_altcat_1, f3_s4_altcat_1)) &  (v1_funct_1(A) & v1_partfun1(A, k3_zfmisc_1(f1_s4_altcat_1, f2_s4_altcat_1, f3_s4_altcat_1))) ) )  &  (! [B] :  (m1_subset_1(B, f1_s4_altcat_1) =>  (! [C] :  (m1_subset_1(C, f2_s4_altcat_1) =>  (! [D] :  (m1_subset_1(D, f3_s4_altcat_1) => k1_multop_1(A, B, C, D)=f4_s4_altcat_1(B, C, D)) ) ) ) ) ) ) ) ).
fof(dt_f1_s2_altcat_1, axiom,  ~ (v1_xboole_0(f1_s2_altcat_1)) ).
fof(dt_f2_s2_altcat_1, axiom,  ~ (v1_xboole_0(f2_s2_altcat_1)) ).
fof(dt_f1_s4_altcat_1, axiom,  ~ (v1_xboole_0(f1_s4_altcat_1)) ).
fof(dt_f2_s4_altcat_1, axiom,  ~ (v1_xboole_0(f2_s4_altcat_1)) ).
fof(dt_f3_s4_altcat_1, axiom,  ~ (v1_xboole_0(f3_s4_altcat_1)) ).
fof(abstractness_v1_altcat_1, axiom,  (! [A] :  (l1_altcat_1(A) =>  (v1_altcat_1(A) => A=g1_altcat_1(u1_struct_0(A), u1_altcat_1(A))) ) ) ).
fof(dt_l1_altcat_1, axiom,  (! [A] :  (l1_altcat_1(A) => l1_struct_0(A)) ) ).
fof(existence_l1_altcat_1, axiom,  (? [A] : l1_altcat_1(A)) ).
fof(dt_g1_altcat_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k2_zfmisc_1(A, A)) &  (v1_funct_1(B) & v1_partfun1(B, k2_zfmisc_1(A, A))) ) )  =>  (v1_altcat_1(g1_altcat_1(A, B)) & l1_altcat_1(g1_altcat_1(A, B))) ) ) ).
fof(free_g1_altcat_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k2_zfmisc_1(A, A)) &  (v1_funct_1(B) & v1_partfun1(B, k2_zfmisc_1(A, A))) ) )  =>  (! [C, D] :  (g1_altcat_1(A, B)=g1_altcat_1(C, D) =>  (A=C & B=D) ) ) ) ) ).
fof(dt_u1_altcat_1, axiom,  (! [A] :  (l1_altcat_1(A) =>  (v1_relat_1(u1_altcat_1(A)) &  (v4_relat_1(u1_altcat_1(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) &  (v1_funct_1(u1_altcat_1(A)) & v1_partfun1(u1_altcat_1(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) ) ) ) ) ).
fof(dt_k2_altcat_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k2_zfmisc_1(A, A)) &  (v1_funct_1(B) & v1_partfun1(B, k2_zfmisc_1(A, A))) ) )  =>  (v1_relat_1(k2_altcat_1(A, B)) &  (v4_relat_1(k2_altcat_1(A, B), k3_zfmisc_1(A, A, A)) &  (v1_funct_1(k2_altcat_1(A, B)) & v1_partfun1(k2_altcat_1(A, B), k3_zfmisc_1(A, A, A))) ) ) ) ) ).
fof(dt_k3_altcat_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, k2_zfmisc_1(A, A)) &  (v1_funct_1(B) & v1_partfun1(B, k2_zfmisc_1(A, A))) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, k2_zfmisc_1(A, A)) &  (v1_funct_1(C) & v1_partfun1(C, k2_zfmisc_1(A, A))) ) ) )  =>  (v1_relat_1(k3_altcat_1(A, B, C)) &  (v4_relat_1(k3_altcat_1(A, B, C), k3_zfmisc_1(A, A, A)) &  (v1_funct_1(k3_altcat_1(A, B, C)) & v1_partfun1(k3_altcat_1(A, B, C), k3_zfmisc_1(A, A, A))) ) ) ) ) ).
fof(dt_k4_altcat_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k2_zfmisc_1(A, A)) &  (v1_funct_1(B) & v1_partfun1(B, k2_zfmisc_1(A, A))) ) )  &  (m2_pboole(C, k3_zfmisc_1(A, A, A), k3_altcat_1(A, B, B), k2_altcat_1(A, B)) &  (m1_subset_1(D, A) &  (m1_subset_1(E, A) & m1_subset_1(F, A)) ) ) ) )  =>  (v1_funct_1(k4_altcat_1(A, B, C, D, E, F)) &  (v1_funct_2(k4_altcat_1(A, B, C, D, E, F), k2_zfmisc_1(k1_binop_1(B, E, F), k1_binop_1(B, D, E)), k1_binop_1(B, D, F)) & m1_subset_1(k4_altcat_1(A, B, C, D, E, F), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_binop_1(B, E, F), k1_binop_1(B, D, E)), k1_binop_1(B, D, F))))) ) ) ) ).
fof(redefinition_k4_altcat_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k2_zfmisc_1(A, A)) &  (v1_funct_1(B) & v1_partfun1(B, k2_zfmisc_1(A, A))) ) )  &  (m2_pboole(C, k3_zfmisc_1(A, A, A), k3_altcat_1(A, B, B), k2_altcat_1(A, B)) &  (m1_subset_1(D, A) &  (m1_subset_1(E, A) & m1_subset_1(F, A)) ) ) ) )  => k4_altcat_1(A, B, C, D, E, F)=k1_multop_1(C, D, E, F)) ) ).
fof(abstractness_v6_altcat_1, axiom,  (! [A] :  (l2_altcat_1(A) =>  (v6_altcat_1(A) => A=g2_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A))) ) ) ).
fof(dt_l2_altcat_1, axiom,  (! [A] :  (l2_altcat_1(A) => l1_altcat_1(A)) ) ).
fof(existence_l2_altcat_1, axiom,  (? [A] : l2_altcat_1(A)) ).
fof(dt_g2_altcat_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, k2_zfmisc_1(A, A)) &  (v1_funct_1(B) & v1_partfun1(B, k2_zfmisc_1(A, A))) ) )  & m2_pboole(C, k3_zfmisc_1(A, A, A), k3_altcat_1(A, B, B), k2_altcat_1(A, B)))  =>  (v6_altcat_1(g2_altcat_1(A, B, C)) & l2_altcat_1(g2_altcat_1(A, B, C))) ) ) ).
fof(free_g2_altcat_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, k2_zfmisc_1(A, A)) &  (v1_funct_1(B) & v1_partfun1(B, k2_zfmisc_1(A, A))) ) )  & m2_pboole(C, k3_zfmisc_1(A, A, A), k3_altcat_1(A, B, B), k2_altcat_1(A, B)))  =>  (! [D, E, F] :  (g2_altcat_1(A, B, C)=g2_altcat_1(D, E, F) =>  (A=D &  (B=E & C=F) ) ) ) ) ) ).
fof(dt_u2_altcat_1, axiom,  (! [A] :  (l2_altcat_1(A) => m2_pboole(u2_altcat_1(A), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), k3_altcat_1(u1_struct_0(A), u1_altcat_1(A), u1_altcat_1(A)), k2_altcat_1(u1_struct_0(A), u1_altcat_1(A)))) ) ).
fof(dt_k5_altcat_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) &  (m1_subset_1(D, u1_struct_0(A)) &  (m1_subset_1(E, k1_altcat_1(A, B, C)) & m1_subset_1(F, k1_altcat_1(A, C, D))) ) ) ) )  => m1_subset_1(k5_altcat_1(A, B, C, D, E, F), k1_altcat_1(A, B, D))) ) ).
fof(dt_k6_altcat_1, axiom,  (! [A, B] :  ( (v4_funct_1(A) & v4_funct_1(B))  =>  (v1_relat_1(k6_altcat_1(A, B)) &  (v4_relat_1(k6_altcat_1(A, B), k2_zfmisc_1(B, A)) &  (v1_funct_1(k6_altcat_1(A, B)) &  (v1_partfun1(k6_altcat_1(A, B), k2_zfmisc_1(B, A)) &  (v1_funcop_1(k6_altcat_1(A, B)) & v7_altcat_1(k6_altcat_1(A, B))) ) ) ) ) ) ) ).
fof(dt_k7_altcat_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k7_altcat_1(A)))  &  (v6_altcat_1(k7_altcat_1(A)) &  (v10_altcat_1(k7_altcat_1(A)) & l2_altcat_1(k7_altcat_1(A))) ) ) ) ) ).
fof(dt_k8_altcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v12_altcat_1(A) & l2_altcat_1(A)) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k8_altcat_1(A, B), k1_altcat_1(A, B, B))) ) ).
fof(dt_k9_altcat_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k9_altcat_1(A)))  &  (v6_altcat_1(k9_altcat_1(A)) &  (v13_altcat_1(k9_altcat_1(A)) & l2_altcat_1(k9_altcat_1(A))) ) ) ) ) ).
fof(fc1_altcat_2, axiom,  (! [A] :  (v1_relat_1(k1_pboole(A)) &  (v4_relat_1(k1_pboole(A), A) &  (v1_funct_1(k1_pboole(A)) &  (v1_partfun1(k1_pboole(A), A) & v1_funcop_1(k1_pboole(A))) ) ) ) ) ).
fof(fc2_altcat_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (v1_relat_1(k2_funct_4(A)) &  (v1_funct_1(k2_funct_4(A)) & v1_funcop_1(k2_funct_4(A))) ) ) ) ).
fof(fc3_altcat_2, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k2_zfmisc_1(A, A)) &  (v1_funct_1(B) & v1_partfun1(B, k2_zfmisc_1(A, A))) ) )  =>  (v1_relat_1(k2_funct_4(B)) &  (v4_relat_1(k2_funct_4(B), k2_zfmisc_1(A, A)) & v1_funct_1(k2_funct_4(B))) ) ) ) ).
fof(fc4_altcat_2, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k2_zfmisc_1(A, A)) &  (v1_funct_1(B) & v1_partfun1(B, k2_zfmisc_1(A, A))) ) )  =>  (v1_relat_1(k2_funct_4(B)) &  (v4_relat_1(k2_funct_4(B), k2_zfmisc_1(A, A)) &  (v1_funct_1(k2_funct_4(B)) & v1_partfun1(k2_funct_4(B), k2_zfmisc_1(A, A))) ) ) ) ) ).
fof(fc5_altcat_2, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_funcop_1(B)) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v1_funcop_1(C)) ) ) ) )  =>  (v1_relat_1(k8_pboole(B, C)) &  (v4_relat_1(k8_pboole(B, C), A) & v1_funct_1(k8_pboole(B, C))) ) ) ) ).
fof(fc6_altcat_2, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_funcop_1(B)) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v1_funcop_1(C)) ) ) ) )  =>  (v1_relat_1(k8_pboole(B, C)) &  (v1_funct_1(k8_pboole(B, C)) & v1_partfun1(k8_pboole(B, C), A)) ) ) ) ).
fof(fc7_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k4_altcat_2(A)))  &  (v2_altcat_1(k4_altcat_2(A)) &  (v6_altcat_1(k4_altcat_2(A)) &  (v11_altcat_1(k4_altcat_2(A)) & v12_altcat_1(k4_altcat_2(A))) ) ) ) ) ) ).
fof(rc1_altcat_2, axiom,  (? [A] :  (l1_altcat_1(A) &  ( ~ (v2_struct_0(A))  & v1_altcat_1(A)) ) ) ).
fof(cc1_altcat_2, axiom,  (! [A] :  (l2_altcat_1(A) =>  ( ( ~ (v2_struct_0(A))  & v12_altcat_1(A))  =>  ( ~ (v2_struct_0(A))  & v1_altcat_2(A)) ) ) ) ).
fof(rc2_altcat_2, axiom,  (? [A] :  (l1_altcat_1(A) &  ( ~ (v2_struct_0(A))  & v1_altcat_2(A)) ) ) ).
fof(rc3_altcat_2, axiom,  (? [A] :  (l2_altcat_1(A) &  ( ~ (v2_struct_0(A))  & v1_altcat_2(A)) ) ) ).
fof(fc8_altcat_2, axiom,  (v2_struct_0(k5_altcat_2) & v6_altcat_1(k5_altcat_2)) ).
fof(rc4_altcat_2, axiom,  (? [A] :  (l2_altcat_1(A) &  (v2_struct_0(A) & v6_altcat_1(A)) ) ) ).
fof(rc5_altcat_2, axiom,  (! [A] :  (l2_altcat_1(A) =>  (? [B] :  (m1_altcat_2(B, A) & v6_altcat_1(B)) ) ) ) ).
fof(fc9_altcat_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  & m1_subset_1(B, u1_struct_0(A)))  =>  ( ~ (v2_struct_0(k6_altcat_2(A, B)))  &  (v2_altcat_1(k6_altcat_2(A, B)) & v6_altcat_1(k6_altcat_2(A, B))) ) ) ) ).
fof(rc6_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (? [B] :  (m1_altcat_2(B, A) &  ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) & v6_altcat_1(B)) ) ) ) ) ) ).
fof(rc7_altcat_2, axiom,  (! [A] :  (l2_altcat_1(A) =>  (? [B] :  (m1_altcat_2(B, A) &  (v6_altcat_1(B) & v2_altcat_2(B, A)) ) ) ) ) ).
fof(rc8_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (? [B] :  (m1_altcat_2(B, A) &  ( ~ (v2_struct_0(B))  &  (v6_altcat_1(B) & v2_altcat_2(B, A)) ) ) ) ) ) ).
fof(fc10_altcat_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v6_altcat_1(k6_altcat_2(A, B)) &  (v2_altcat_2(k6_altcat_2(A, B), A) & v3_altcat_2(k6_altcat_2(A, B), A)) ) ) ) ).
fof(rc9_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (? [B] :  (m1_altcat_2(B, A) &  ( ~ (v2_struct_0(B))  &  (v6_altcat_1(B) &  (v2_altcat_2(B, A) & v3_altcat_2(B, A)) ) ) ) ) ) ) ).
fof(cc2_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) & l2_altcat_1(A)) )  =>  (! [B] :  (m1_altcat_2(B, A) =>  ( ( ~ (v2_struct_0(B))  & v2_altcat_2(B, A))  => v2_altcat_1(B)) ) ) ) ) ).
fof(cc3_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  (m1_altcat_2(B, A) =>  ( ( ~ (v2_struct_0(B))  & v2_altcat_1(B))  =>  ( ~ (v2_struct_0(B))  & v11_altcat_1(B)) ) ) ) ) ) ).
fof(cc4_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  (m1_altcat_2(B, A) =>  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) & v3_altcat_2(B, A)) )  =>  ( ~ (v2_struct_0(B))  & v12_altcat_1(B)) ) ) ) ) ) ).
fof(rc10_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (? [B] :  (m1_altcat_2(B, A) &  ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) & v3_altcat_2(B, A)) ) ) ) ) ) ).
fof(t1_altcat_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : r1_funct_2(k2_zfmisc_1(A, B), k2_zfmisc_1(k1_tarski(C), k1_tarski(D)), k2_zfmisc_1(A, B), k1_tarski(k4_tarski(C, D)), k16_funct_3(A, B, k1_tarski(C), k1_tarski(D), k7_funcop_1(A, C), k7_funcop_1(B, D)), k7_funcop_1(k2_zfmisc_1(A, B), k4_tarski(C, D)))) ) ) ) ).
fof(t2_altcat_2, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => k2_funct_4(k3_relat_1(A, B))=k3_relat_1(k2_funct_4(A), B)) ) ) ) ).
fof(t3_altcat_2, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => k2_funct_4(k3_relat_1(k15_funct_3(B, C), A))=k3_relat_1(k15_funct_3(C, B), k2_funct_4(A))) ) ) ) ) ) ).
fof(t4_altcat_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r1_pzfmisc1(A, B, C) =>  (! [E] :  (m2_pboole(E, A, B, C) =>  (! [F] :  (m2_pboole(F, A, C, D) => m2_pboole(k8_pboole(E, F), A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_altcat_2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) & v1_partfun1(D, B)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, B) &  (v1_funct_1(E) & v1_partfun1(E, B)) ) )  =>  (! [F] :  (m2_pboole(F, B, D, E) => m2_pboole(k3_relat_1(C, F), A, k3_relat_1(C, D), k3_relat_1(C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_altcat_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k2_zfmisc_1(A, B)) &  (v1_funct_1(C) & v1_partfun1(C, k2_zfmisc_1(A, B))) ) )  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, B) => k1_binop_1(k2_funct_4(C), E, D)=k1_binop_1(C, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(d1_altcat_2, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_altcat_2(A, B) <=>  (r1_tarski(k9_xtuple_0(A), k9_xtuple_0(B)) &  (! [C] :  (r2_tarski(C, k9_xtuple_0(A)) => r1_tarski(k1_funct_1(A, C), k1_funct_1(B, C))) ) ) ) ) ) ) ) ).
fof(d2_altcat_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) & v1_partfun1(D, B)) ) )  =>  (r2_altcat_2(A, B, C, D) <=>  (r1_tarski(A, B) &  (! [E] :  (r2_tarski(E, A) => r1_tarski(k1_funct_1(C, E), k1_funct_1(D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t7_altcat_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) & v1_partfun1(D, B)) ) )  =>  ( (r2_altcat_2(A, B, C, D) & r2_altcat_2(B, A, D, C))  => C=D) ) ) ) ) ) ) ).
fof(t8_altcat_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, B) &  (v1_funct_1(E) & v1_partfun1(E, B)) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, C) &  (v1_funct_1(F) & v1_partfun1(F, C)) ) )  =>  ( (r2_altcat_2(A, B, D, E) & r2_altcat_2(B, C, E, F))  => r2_altcat_2(A, C, D, F)) ) ) ) ) ) ) ) ) ) ).
fof(t9_altcat_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r2_altcat_2(A, A, B, C) <=> r2_pboole(A, B, C)) ) ) ) ) ) ).
fof(t10_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_tarski(k8_mcart_1(u4_struct_0(A), u4_struct_0(A), k2_cat_1(A, C, D), k2_cat_1(A, B, C)), k9_xtuple_0(u1_cat_1(A)))) ) ) ) ) ) ) ) ).
fof(t11_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_tarski(k7_relat_1(u1_cat_1(A), k8_mcart_1(u4_struct_0(A), u4_struct_0(A), k2_cat_1(A, C, D), k2_cat_1(A, B, C))), k2_cat_1(A, B, D))) ) ) ) ) ) ) ) ).
fof(d3_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_cat_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) &  (v1_funct_1(B) & v1_partfun1(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) ) )  =>  (B=k2_altcat_2(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_binop_1(B, C, D)=k2_cat_1(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t12_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r2_tarski(k4_cat_1(A, B), k1_binop_1(k2_altcat_2(A), B, B))) ) ) ) ).
fof(d4_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m2_pboole(B, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), k3_altcat_1(u1_struct_0(A), k2_altcat_2(A), k2_altcat_2(A)), k2_altcat_1(u1_struct_0(A), k2_altcat_2(A))) =>  (B=k3_altcat_2(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k4_altcat_1(u1_struct_0(A), k2_altcat_2(A), B, C, D, E)=k2_partfun1(k2_zfmisc_1(u4_struct_0(A), u4_struct_0(A)), u4_struct_0(A), u1_cat_1(A), k2_zfmisc_1(k1_binop_1(k2_altcat_2(A), D, E), k1_binop_1(k2_altcat_2(A), C, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (k2_cat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, C, D)=k1_xboole_0)  &  ~ ( (! [E] :  (m1_cat_1(E, A, B, C) =>  (! [F] :  (m1_cat_1(F, A, C, D) => k1_binop_1(k4_altcat_1(u1_struct_0(A), k2_altcat_2(A), k3_altcat_2(A), B, C, D), F, E)=k5_cat_1(A, B, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  => v3_altcat_1(k3_altcat_2(A), u1_struct_0(A), k2_altcat_2(A))) ) ).
fof(t15_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (v5_altcat_1(k3_altcat_2(A), u1_struct_0(A), k2_altcat_2(A)) & v4_altcat_1(k3_altcat_2(A), u1_struct_0(A), k2_altcat_2(A))) ) ) ).
fof(d5_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  => k4_altcat_2(A)=g2_altcat_1(u1_struct_0(A), k2_altcat_2(A), k3_altcat_2(A))) ) ).
fof(t16_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  => v11_altcat_1(k4_altcat_2(A))) ) ).
fof(t17_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  => v12_altcat_1(k4_altcat_2(A))) ) ).
fof(t18_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  => v2_altcat_1(k4_altcat_2(A))) ) ).
fof(d6_altcat_2, axiom,  (! [A] :  (l1_altcat_1(A) =>  (v1_altcat_2(A) <=>  (! [B] :  ~ ( (r2_tarski(B, u1_struct_0(A)) & k1_binop_1(u1_altcat_1(A), B, B)=k1_xboole_0) ) ) ) ) ) ).
fof(d7_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  =>  (v1_altcat_2(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ (k1_altcat_1(A, B, B)=k1_xboole_0) ) ) ) ) ) ).
fof(d8_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) & l2_altcat_1(A)) )  =>  (v11_altcat_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_altcat_1(A, B, C)) =>  (! [G] :  (m1_subset_1(G, k1_altcat_1(A, C, D)) =>  (! [H] :  (m1_subset_1(H, k1_altcat_1(A, D, E)) =>  ~ ( ( ~ (k1_altcat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k1_altcat_1(A, C, D)=k1_xboole_0)  &  ( ~ (k1_altcat_1(A, D, E)=k1_xboole_0)  &  ~ (k5_altcat_1(A, B, C, E, F, k5_altcat_1(A, C, D, E, G, H))=k5_altcat_1(A, B, D, E, k5_altcat_1(A, B, C, D, F, G), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (v12_altcat_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (k1_altcat_1(A, B, B)=k1_xboole_0)  &  (? [C] :  (m1_subset_1(C, k1_altcat_1(A, B, B)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_altcat_1(A, D, B)) =>  (! [F] :  (m1_subset_1(F, k1_altcat_1(A, B, D)) =>  ( ( ~ (k1_altcat_1(A, D, B)=k1_xboole_0)  => k5_altcat_1(A, D, B, B, E, C)=E)  &  ( ~ (k1_altcat_1(A, B, D)=k1_xboole_0)  => k5_altcat_1(A, B, B, D, C, F)=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_altcat_2, axiom,  (! [A] :  ( (v6_altcat_1(A) & l2_altcat_1(A))  =>  (A=k5_altcat_2 <=> v1_xboole_0(u1_struct_0(A))) ) ) ).
fof(t19_altcat_2, axiom,  (! [A] :  ( (v2_struct_0(A) &  (v6_altcat_1(A) & l2_altcat_1(A)) )  => A=k5_altcat_2) ) ).
fof(d11_altcat_2, axiom,  (! [A] :  (l2_altcat_1(A) =>  (! [B] :  (l2_altcat_1(B) =>  (m1_altcat_2(B, A) <=>  (r1_tarski(u1_struct_0(B), u1_struct_0(A)) &  (r2_altcat_2(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_altcat_1(B), u1_altcat_1(A)) & r2_altcat_2(k3_zfmisc_1(u1_struct_0(B), u1_struct_0(B), u1_struct_0(B)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), u2_altcat_1(B), u2_altcat_1(A))) ) ) ) ) ) ) ).
fof(t20_altcat_2, axiom,  (! [A] :  (l2_altcat_1(A) => m1_altcat_2(A, A)) ) ).
fof(t21_altcat_2, axiom,  (! [A] :  (l2_altcat_1(A) =>  (! [B] :  (l2_altcat_1(B) =>  (! [C] :  (l2_altcat_1(C) =>  ( (m1_altcat_2(A, B) & m1_altcat_2(B, C))  => m1_altcat_2(A, C)) ) ) ) ) ) ) ).
fof(t22_altcat_2, axiom,  (! [A] :  (l2_altcat_1(A) =>  (! [B] :  (l2_altcat_1(B) =>  ( (m1_altcat_2(A, B) & m1_altcat_2(B, A))  => g2_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A))=g2_altcat_1(u1_struct_0(B), u1_altcat_1(B), u2_altcat_1(B))) ) ) ) ) ).
fof(d12_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v6_altcat_1(C) & m1_altcat_2(C, A))  =>  (C=k6_altcat_2(A, B) <=>  (u1_struct_0(C)=k6_domain_1(u1_struct_0(A), B) &  (u1_altcat_1(C)=k18_funcop_1(B, B, k1_altcat_1(A, B, B)) & u2_altcat_1(C)=k17_funcop_1(k4_domain_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), B, B, B), k4_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A), B, B, B))) ) ) ) ) ) ) ) ) ).
fof(t23_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k6_altcat_2(A, B))) => C=B) ) ) ) ) ) ).
fof(t24_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) & l2_altcat_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) & m1_altcat_2(B, A)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_altcat_1(C) & m1_altcat_2(C, A)) )  =>  ( (r1_tarski(u1_struct_0(B), u1_struct_0(C)) & r2_altcat_2(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(C), u1_struct_0(C)), u1_altcat_1(B), u1_altcat_1(C)))  => m1_altcat_2(B, C)) ) ) ) ) ) ) ).
fof(d13_altcat_2, axiom,  (! [A] :  (l2_altcat_1(A) =>  (! [B] :  (m1_altcat_2(B, A) =>  (v2_altcat_2(B, A) <=> u1_altcat_1(B)=k1_realset1(u1_altcat_1(A), u1_struct_0(B))) ) ) ) ) ).
fof(d14_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v12_altcat_1(A) & l2_altcat_1(A)) )  =>  (! [B] :  (m1_altcat_2(B, A) =>  ( ( ~ (v2_struct_0(B))  =>  (v3_altcat_2(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (C=D => r2_tarski(k8_altcat_1(A, D), k1_altcat_1(B, C, C))) ) ) ) ) ) )  &  (v2_struct_0(B) => v3_altcat_2(B, A)) ) ) ) ) ) ).
fof(t25_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) & l2_altcat_1(A)) )  =>  (! [B] :  (m1_altcat_2(B, A) =>  ( (u1_struct_0(B)=u1_struct_0(A) & u1_altcat_1(B)=u1_altcat_1(A))  => g2_altcat_1(u1_struct_0(B), u1_altcat_1(B), u2_altcat_1(B))=g2_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A))) ) ) ) ) ).
fof(t26_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) & l2_altcat_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) & m1_altcat_2(B, A)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_altcat_1(C) & m1_altcat_2(C, A)) )  =>  ( (u1_struct_0(B)=u1_struct_0(C) & u1_altcat_1(B)=u1_altcat_1(C))  => g2_altcat_1(u1_struct_0(B), u1_altcat_1(B), u2_altcat_1(B))=g2_altcat_1(u1_struct_0(C), u1_altcat_1(C), u2_altcat_1(C))) ) ) ) ) ) ) ).
fof(t27_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) & l2_altcat_1(A)) )  =>  (! [B] :  ( (v2_altcat_2(B, A) & m1_altcat_2(B, A))  =>  (u1_struct_0(B)=u1_struct_0(A) => g2_altcat_1(u1_struct_0(B), u1_altcat_1(B), u2_altcat_1(B))=g2_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A))) ) ) ) ) ).
fof(t28_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_2(B, A) & m1_altcat_2(B, A)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( (C=E & D=F)  => k1_altcat_1(A, C, D)=k1_altcat_1(B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m1_altcat_2(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => m1_subset_1(C, u1_struct_0(A))) ) ) ) ) ) ).
fof(t30_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) & l2_altcat_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_2(B, A) & m1_altcat_2(B, A)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_altcat_2(C, A) & m1_altcat_2(C, A)) )  =>  (u1_struct_0(B)=u1_struct_0(C) => g2_altcat_1(u1_struct_0(B), u1_altcat_1(B), u2_altcat_1(B))=g2_altcat_1(u1_struct_0(C), u1_altcat_1(C), u2_altcat_1(C))) ) ) ) ) ) ) ).
fof(t31_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m1_altcat_2(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( (C=E & D=F)  => r1_tarski(k1_altcat_1(B, E, F), k1_altcat_1(A, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) & l2_altcat_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) & m1_altcat_2(B, A)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  ~ ( ( ~ (k1_altcat_1(B, C, D)=k1_xboole_0)  &  ( ~ (k1_altcat_1(B, D, E)=k1_xboole_0)  &  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  (? [H] :  (m1_subset_1(H, u1_struct_0(A)) &  (F=C &  (G=D &  (H=E &  (? [I] :  (m1_subset_1(I, k1_altcat_1(A, F, G)) &  (? [J] :  (m1_subset_1(J, k1_altcat_1(A, G, H)) &  (? [K] :  (m1_subset_1(K, k1_altcat_1(B, C, D)) &  (? [L] :  (m1_subset_1(L, k1_altcat_1(B, D, E)) &  (I=K &  (J=L &  ~ (k5_altcat_1(A, F, G, H, I, J)=k5_altcat_1(B, C, D, E, K, L)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m1_altcat_2(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( (C=E & D=F)  =>  (k1_altcat_1(B, E, F)=k1_xboole_0 |  (! [G] :  (m1_subset_1(G, k1_altcat_1(B, E, F)) => m1_subset_1(G, k1_altcat_1(A, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v3_altcat_2(B, A) & m1_altcat_2(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (C=D => k8_altcat_1(B, C)=k8_altcat_1(A, D)) ) ) ) ) ) ) ) ) ).
fof(dt_k1_altcat_2, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, k2_zfmisc_1(A, A)) &  (v1_funct_1(B) & v1_partfun1(B, k2_zfmisc_1(A, A))) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, k2_zfmisc_1(A, A)) &  (v1_funct_1(C) & v1_partfun1(C, k2_zfmisc_1(A, A))) ) )  & m2_pboole(D, k2_zfmisc_1(A, A), B, C)) )  => m2_pboole(k1_altcat_2(A, B, C, D), k2_zfmisc_1(A, A), k2_funct_4(B), k2_funct_4(C))) ) ).
fof(redefinition_k1_altcat_2, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, k2_zfmisc_1(A, A)) &  (v1_funct_1(B) & v1_partfun1(B, k2_zfmisc_1(A, A))) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, k2_zfmisc_1(A, A)) &  (v1_funct_1(C) & v1_partfun1(C, k2_zfmisc_1(A, A))) ) )  & m2_pboole(D, k2_zfmisc_1(A, A), B, C)) )  => k1_altcat_2(A, B, C, D)=k2_funct_4(D)) ) ).
fof(reflexivity_r1_altcat_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  => r1_altcat_2(A, A)) ) ).
fof(reflexivity_r2_altcat_2, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  &  (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) & v1_partfun1(D, B)) ) ) )  => r2_altcat_2(A, B, C, C)) ) ).
fof(redefinition_r2_altcat_2, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  &  (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) & v1_partfun1(D, B)) ) ) )  =>  (r2_altcat_2(A, B, C, D) <=> r1_altcat_2(C, D)) ) ) ).
fof(dt_f1_s1_altcat_2, axiom,  ~ (v1_xboole_0(f1_s1_altcat_2)) ).
fof(dt_f1_s2_altcat_2, axiom,  ~ (v1_xboole_0(f1_s2_altcat_2)) ).
fof(dt_f2_s2_altcat_2, axiom,  (v1_relat_1(f2_s2_altcat_2) & v1_funct_1(f2_s2_altcat_2)) ).
fof(dt_f1_s3_altcat_2, axiom,  ~ (v1_xboole_0(f1_s3_altcat_2)) ).
fof(dt_f2_s3_altcat_2, axiom,  (v1_relat_1(f2_s3_altcat_2) & v1_funct_1(f2_s3_altcat_2)) ).
fof(dt_f3_s3_altcat_2, axiom, m1_subset_1(f3_s3_altcat_2, f1_s3_altcat_2)).
fof(dt_k2_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_cat_1(A)) )  =>  (v1_relat_1(k2_altcat_2(A)) &  (v4_relat_1(k2_altcat_2(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) &  (v1_funct_1(k2_altcat_2(A)) & v1_partfun1(k2_altcat_2(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) ) ) ) ) ).
fof(dt_k3_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  => m2_pboole(k3_altcat_2(A), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), k3_altcat_1(u1_struct_0(A), k2_altcat_2(A), k2_altcat_2(A)), k2_altcat_1(u1_struct_0(A), k2_altcat_2(A)))) ) ).
fof(dt_k4_altcat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k4_altcat_2(A)))  &  (v6_altcat_1(k4_altcat_2(A)) & l2_altcat_1(k4_altcat_2(A))) ) ) ) ).
fof(dt_k5_altcat_2, axiom,  (v6_altcat_1(k5_altcat_2) & l2_altcat_1(k5_altcat_2)) ).
fof(dt_m1_altcat_2, axiom,  (! [A] :  (l2_altcat_1(A) =>  (! [B] :  (m1_altcat_2(B, A) => l2_altcat_1(B)) ) ) ) ).
fof(existence_m1_altcat_2, axiom,  (! [A] :  (l2_altcat_1(A) =>  (? [B] : m1_altcat_2(B, A)) ) ) ).
fof(dt_k6_altcat_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  & m1_subset_1(B, u1_struct_0(A)))  =>  (v6_altcat_1(k6_altcat_2(A, B)) & m1_altcat_2(k6_altcat_2(A, B), A)) ) ) ).
fof(s1_altcat_2, axiom,  (v1_relat_1(a_0_0_altcat_2) & v1_funct_1(a_0_0_altcat_2)) ).
fof(s2_altcat_2, axiom,  (f2_s2_altcat_2=a_0_1_altcat_2 => k9_xtuple_0(f2_s2_altcat_2)=a_0_2_altcat_2) ).
fof(s3_altcat_2, axiom,  ( (f2_s3_altcat_2=a_0_3_altcat_2 & p1_s3_altcat_2(f3_s3_altcat_2))  => k1_funct_1(f2_s3_altcat_2, f3_s3_altcat_2)=f4_s3_altcat_2(f3_s3_altcat_2)) ).
fof(fraenkel_a_0_0_altcat_2, axiom,  (! [A] :  (r2_hidden(A, a_0_0_altcat_2) <=>  (? [B] :  (m1_subset_1(B, f1_s1_altcat_2) &  (A=k4_tarski(B, f2_s1_altcat_2(B)) & p1_s1_altcat_2(B)) ) ) ) ) ).
fof(fraenkel_a_0_1_altcat_2, axiom,  (! [A] :  (r2_hidden(A, a_0_1_altcat_2) <=>  (? [B] :  (m1_subset_1(B, f1_s2_altcat_2) &  (A=k4_tarski(B, f3_s2_altcat_2(B)) & p1_s2_altcat_2(B)) ) ) ) ) ).
fof(fraenkel_a_0_2_altcat_2, axiom,  (! [A] :  (r2_hidden(A, a_0_2_altcat_2) <=>  (? [B] :  (m1_subset_1(B, f1_s2_altcat_2) &  (A=B & p1_s2_altcat_2(B)) ) ) ) ) ).
fof(fraenkel_a_0_3_altcat_2, axiom,  (! [A] :  (r2_hidden(A, a_0_3_altcat_2) <=>  (? [B] :  (m1_subset_1(B, f1_s3_altcat_2) &  (A=k4_tarski(B, f4_s3_altcat_2(B)) & p1_s3_altcat_2(B)) ) ) ) ) ).
fof(rc1_altcat_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v12_altcat_1(A) & l2_altcat_1(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (? [C] :  (m1_subset_1(C, k1_altcat_1(A, B, B)) &  (v1_altcat_3(C, A, B, B) &  (v2_altcat_3(C, A, B, B) &  (v4_altcat_3(C, A, B, B) & v5_altcat_3(C, A, B, B)) ) ) ) ) ) ) ).
fof(rc2_altcat_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (? [C] :  (m1_subset_1(C, k1_altcat_1(A, B, B)) &  (v1_altcat_3(C, A, B, B) &  (v2_altcat_3(C, A, B, B) &  (v3_altcat_3(C, A, B, B) &  (v4_altcat_3(C, A, B, B) & v5_altcat_3(C, A, B, B)) ) ) ) ) ) ) ) ).
fof(fc1_altcat_3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  ( (v4_altcat_3(C, A, B, B) & m1_subset_1(C, k1_altcat_1(A, B, B)))  &  (v4_altcat_3(D, A, B, B) & m1_subset_1(D, k1_altcat_1(A, B, B))) ) ) )  => v4_altcat_3(k5_altcat_1(A, B, B, B, D, C), A, B, B)) ) ).
fof(fc2_altcat_3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  ( (v5_altcat_3(C, A, B, B) & m1_subset_1(C, k1_altcat_1(A, B, B)))  &  (v5_altcat_3(D, A, B, B) & m1_subset_1(D, k1_altcat_1(A, B, B))) ) ) )  => v5_altcat_3(k5_altcat_1(A, B, B, B, D, C), A, B, B)) ) ).
fof(fc3_altcat_3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  ( (v3_altcat_3(C, A, B, B) & m1_subset_1(C, k1_altcat_1(A, B, B)))  &  (v3_altcat_3(D, A, B, B) & m1_subset_1(D, k1_altcat_1(A, B, B))) ) ) )  => v3_altcat_3(k5_altcat_1(A, B, B, B, D, C), A, B, B)) ) ).
fof(fc4_altcat_3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  ( (v1_altcat_3(C, A, B, B) & m1_subset_1(C, k1_altcat_1(A, B, B)))  &  (v1_altcat_3(D, A, B, B) & m1_subset_1(D, k1_altcat_1(A, B, B))) ) ) )  => v1_altcat_3(k5_altcat_1(A, B, B, B, D, C), A, B, B)) ) ).
fof(fc5_altcat_3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  ( (v2_altcat_3(C, A, B, B) & m1_subset_1(C, k1_altcat_1(A, B, B)))  &  (v2_altcat_3(D, A, B, B) & m1_subset_1(D, k1_altcat_1(A, B, B))) ) ) )  => v2_altcat_3(k5_altcat_1(A, B, B, B, D, C), A, B, B)) ) ).
fof(d1_altcat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v12_altcat_1(A) & l2_altcat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_altcat_1(A, B, C)) =>  (! [E] :  (m1_subset_1(E, k1_altcat_1(A, C, B)) =>  (r1_altcat_3(A, B, C, D, E) <=> k5_altcat_1(A, C, B, C, E, D)=k8_altcat_1(A, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_altcat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v12_altcat_1(A) & l2_altcat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_altcat_1(A, B, C)) =>  (v1_altcat_3(D, A, B, C) <=>  (? [E] :  (m1_subset_1(E, k1_altcat_1(A, C, B)) & r1_altcat_3(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_altcat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v12_altcat_1(A) & l2_altcat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_altcat_1(A, B, C)) =>  (v2_altcat_3(D, A, B, C) <=>  (? [E] :  (m1_subset_1(E, k1_altcat_1(A, C, B)) & r1_altcat_3(A, C, B, E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_altcat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v12_altcat_1(A) & l2_altcat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v1_altcat_3(k8_altcat_1(A, B), A, B, B) & v2_altcat_3(k8_altcat_1(A, B), A, B, B)) ) ) ) ) ).
fof(d4_altcat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (k1_altcat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k1_altcat_1(A, C, B)=k1_xboole_0)  &  (? [D] :  (m1_subset_1(D, k1_altcat_1(A, B, C)) &  (v1_altcat_3(D, A, B, C) &  (v2_altcat_3(D, A, B, C) &  ~ ( (! [E] :  (m1_subset_1(E, k1_altcat_1(A, C, B)) =>  (E=k1_altcat_3(A, B, C, D) <=>  (r1_altcat_3(A, C, B, E, D) & r1_altcat_3(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_altcat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (k1_altcat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k1_altcat_1(A, C, B)=k1_xboole_0)  &  (? [D] :  (m1_subset_1(D, k1_altcat_1(A, B, C)) &  (v1_altcat_3(D, A, B, C) &  (v2_altcat_3(D, A, B, C) &  ~ ( (k5_altcat_1(A, B, C, B, D, k1_altcat_3(A, B, C, D))=k8_altcat_1(A, B) & k5_altcat_1(A, C, B, C, k1_altcat_3(A, B, C, D), D)=k8_altcat_1(A, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_altcat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (k1_altcat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k1_altcat_1(A, C, B)=k1_xboole_0)  &  (? [D] :  (m1_subset_1(D, k1_altcat_1(A, B, C)) &  (v1_altcat_3(D, A, B, C) &  (v2_altcat_3(D, A, B, C) &  ~ (k1_altcat_3(A, C, B, k1_altcat_3(A, B, C, D))=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_altcat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_altcat_3(A, B, B, k8_altcat_1(A, B))=k8_altcat_1(A, B)) ) ) ) ).
fof(d5_altcat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_altcat_1(A, B, C)) =>  (v3_altcat_3(D, A, B, C) <=>  (k5_altcat_1(A, C, B, C, k1_altcat_3(A, B, C, D), D)=k8_altcat_1(A, C) & k5_altcat_1(A, B, C, B, D, k1_altcat_3(A, B, C, D))=k8_altcat_1(A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t5_altcat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_altcat_1(A, B, C)) =>  (v3_altcat_3(D, A, B, C) =>  (v1_altcat_3(D, A, B, C) & v2_altcat_3(D, A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t6_altcat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (k1_altcat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k1_altcat_1(A, C, B)=k1_xboole_0)  &  ~ ( (! [D] :  (m1_subset_1(D, k1_altcat_1(A, B, C)) =>  (v3_altcat_3(D, A, B, C) <=>  (v1_altcat_3(D, A, B, C) & v2_altcat_3(D, A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_altcat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_altcat_1(A, B, C)) =>  (! [F] :  (m1_subset_1(F, k1_altcat_1(A, C, D)) =>  ( (v3_altcat_3(E, A, B, C) & v3_altcat_3(F, A, C, D))  =>  (k1_altcat_1(A, B, C)=k1_xboole_0 |  (k1_altcat_1(A, C, D)=k1_xboole_0 |  (k1_altcat_1(A, D, B)=k1_xboole_0 |  (v3_altcat_3(k5_altcat_1(A, B, C, D, E, F), A, B, D) & k1_altcat_3(A, B, D, k5_altcat_1(A, B, C, D, E, F))=k5_altcat_1(A, D, C, B, k1_altcat_3(A, C, D, F), k1_altcat_3(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_altcat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_altcat_3(A, B, C) <=>  ( ~ (k1_altcat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k1_altcat_1(A, C, B)=k1_xboole_0)  &  (? [D] :  (m1_subset_1(D, k1_altcat_1(A, B, C)) & v3_altcat_3(D, A, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_altcat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_altcat_3(A, B, C) & r2_altcat_3(A, C, D))  => r2_altcat_3(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d7_altcat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_altcat_1(A, B, C)) =>  (v4_altcat_3(D, A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( ~ (k1_altcat_1(A, E, B)=k1_xboole_0)  =>  (! [F] :  (m1_subset_1(F, k1_altcat_1(A, E, B)) =>  (! [G] :  (m1_subset_1(G, k1_altcat_1(A, E, B)) =>  (k5_altcat_1(A, E, B, C, F, D)=k5_altcat_1(A, E, B, C, G, D) => F=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_altcat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_altcat_1(A, B, C)) =>  (v5_altcat_3(D, A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( ~ (k1_altcat_1(A, C, E)=k1_xboole_0)  =>  (! [F] :  (m1_subset_1(F, k1_altcat_1(A, C, E)) =>  (! [G] :  (m1_subset_1(G, k1_altcat_1(A, C, E)) =>  (k5_altcat_1(A, B, C, E, D, F)=k5_altcat_1(A, B, C, E, D, G) => F=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_altcat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (k1_altcat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k1_altcat_1(A, C, D)=k1_xboole_0)  &  (? [E] :  (m1_subset_1(E, k1_altcat_1(A, B, C)) &  (? [F] :  (m1_subset_1(F, k1_altcat_1(A, C, D)) &  (v4_altcat_3(E, A, B, C) &  (v4_altcat_3(F, A, C, D) &  ~ (v4_altcat_3(k5_altcat_1(A, B, C, D, E, F), A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_altcat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (k1_altcat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k1_altcat_1(A, C, D)=k1_xboole_0)  &  (? [E] :  (m1_subset_1(E, k1_altcat_1(A, B, C)) &  (? [F] :  (m1_subset_1(F, k1_altcat_1(A, C, D)) &  (v5_altcat_3(E, A, B, C) &  (v5_altcat_3(F, A, C, D) &  ~ (v5_altcat_3(k5_altcat_1(A, B, C, D, E, F), A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_altcat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (k1_altcat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k1_altcat_1(A, C, D)=k1_xboole_0)  &  (? [E] :  (m1_subset_1(E, k1_altcat_1(A, B, C)) &  (? [F] :  (m1_subset_1(F, k1_altcat_1(A, C, D)) &  (v4_altcat_3(k5_altcat_1(A, B, C, D, E, F), A, B, D) &  ~ (v4_altcat_3(E, A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_altcat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (k1_altcat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k1_altcat_1(A, C, D)=k1_xboole_0)  &  (? [E] :  (m1_subset_1(E, k1_altcat_1(A, B, C)) &  (? [F] :  (m1_subset_1(F, k1_altcat_1(A, C, D)) &  (v5_altcat_3(k5_altcat_1(A, B, C, D, E, F), A, B, D) &  ~ (v5_altcat_3(F, A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_altcat_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k7_altcat_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_altcat_1(A))) =>  ( ~ (k1_altcat_1(k7_altcat_1(A), B, C)=k1_xboole_0)  =>  (! [D] :  (m1_subset_1(D, k1_altcat_1(k7_altcat_1(A), B, C)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  (E=D =>  (v4_altcat_3(D, k7_altcat_1(A), B, C) <=> v2_funct_1(E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_altcat_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_setfam_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k7_altcat_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_altcat_1(A))) =>  ( ~ (k1_altcat_1(k7_altcat_1(A), B, C)=k1_xboole_0)  =>  (! [D] :  (m1_subset_1(D, k1_altcat_1(k7_altcat_1(A), B, C)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  (E=D =>  (v5_altcat_3(D, k7_altcat_1(A), B, C) <=> v2_funct_2(E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_altcat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (k1_altcat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k1_altcat_1(A, C, B)=k1_xboole_0)  &  (? [D] :  (m1_subset_1(D, k1_altcat_1(A, B, C)) &  (v1_altcat_3(D, A, B, C) &  ~ (v5_altcat_3(D, A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_altcat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (k1_altcat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k1_altcat_1(A, C, B)=k1_xboole_0)  &  (? [D] :  (m1_subset_1(D, k1_altcat_1(A, B, C)) &  (v2_altcat_3(D, A, B, C) &  ~ (v4_altcat_3(D, A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_altcat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (k1_altcat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k1_altcat_1(A, C, B)=k1_xboole_0)  &  (? [D] :  (m1_subset_1(D, k1_altcat_1(A, B, C)) &  (v3_altcat_3(D, A, B, C) &  ~ ( (v4_altcat_3(D, A, B, C) & v5_altcat_3(D, A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_altcat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (k1_altcat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k1_altcat_1(A, C, D)=k1_xboole_0)  &  ( ~ (k1_altcat_1(A, D, B)=k1_xboole_0)  &  (? [E] :  (m1_subset_1(E, k1_altcat_1(A, B, C)) &  (? [F] :  (m1_subset_1(F, k1_altcat_1(A, C, D)) &  (v1_altcat_3(E, A, B, C) &  (v1_altcat_3(F, A, C, D) &  ~ (v1_altcat_3(k5_altcat_1(A, B, C, D, E, F), A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_altcat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (k1_altcat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k1_altcat_1(A, C, D)=k1_xboole_0)  &  ( ~ (k1_altcat_1(A, D, B)=k1_xboole_0)  &  (? [E] :  (m1_subset_1(E, k1_altcat_1(A, B, C)) &  (? [F] :  (m1_subset_1(F, k1_altcat_1(A, C, D)) &  (v2_altcat_3(E, A, B, C) &  (v2_altcat_3(F, A, C, D) &  ~ (v2_altcat_3(k5_altcat_1(A, B, C, D, E, F), A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_altcat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_altcat_1(A, B, C)) =>  ( (v1_altcat_3(D, A, B, C) & v4_altcat_3(D, A, B, C))  =>  (k1_altcat_1(A, B, C)=k1_xboole_0 |  (k1_altcat_1(A, C, B)=k1_xboole_0 | v3_altcat_3(D, A, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_altcat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_altcat_1(A, B, C)) =>  ( (v2_altcat_3(D, A, B, C) & v5_altcat_3(D, A, B, C))  =>  (k1_altcat_1(A, B, C)=k1_xboole_0 |  (k1_altcat_1(A, C, B)=k1_xboole_0 | v3_altcat_3(D, A, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_altcat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_altcat_1(A, B, C)) =>  (! [F] :  (m1_subset_1(F, k1_altcat_1(A, C, D)) =>  (v1_altcat_3(k5_altcat_1(A, B, C, D, E, F), A, B, D) =>  (k1_altcat_1(A, B, C)=k1_xboole_0 |  (k1_altcat_1(A, C, D)=k1_xboole_0 |  (k1_altcat_1(A, D, B)=k1_xboole_0 | v1_altcat_3(F, A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_altcat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_altcat_1(A, B, C)) =>  (! [F] :  (m1_subset_1(F, k1_altcat_1(A, C, D)) =>  (v2_altcat_3(k5_altcat_1(A, B, C, D, E, F), A, B, D) =>  (k1_altcat_1(A, B, C)=k1_xboole_0 |  (k1_altcat_1(A, C, D)=k1_xboole_0 |  (k1_altcat_1(A, D, B)=k1_xboole_0 | v2_altcat_3(E, A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_altcat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_altcat_1(A, B, C)) => v1_altcat_3(D, A, B, C)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_altcat_1(A, B, C)) =>  ~ ( ( ~ (k1_altcat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k1_altcat_1(A, C, B)=k1_xboole_0)  &  ~ (v3_altcat_3(D, A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_altcat_3, axiom,  (! [A] :  (l1_altcat_1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v6_altcat_3(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, k1_altcat_1(A, B, C)) &  (r2_tarski(D, k1_altcat_1(A, B, C)) & v1_zfmisc_1(k1_altcat_1(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t25_altcat_3, axiom,  (! [A] :  (l1_altcat_1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v6_altcat_3(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, k1_altcat_1(A, B, C)) &  (r2_tarski(D, k1_altcat_1(A, B, C)) &  (! [E] :  (m1_subset_1(E, k1_altcat_1(A, B, C)) =>  (r2_tarski(E, k1_altcat_1(A, B, C)) => D=E) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_altcat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v6_altcat_3(B, A) & v6_altcat_3(C, A))  => r2_altcat_3(A, B, C)) ) ) ) ) ) ) ).
fof(d10_altcat_3, axiom,  (! [A] :  (l1_altcat_1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v7_altcat_3(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, k1_altcat_1(A, C, B)) &  (r2_tarski(D, k1_altcat_1(A, C, B)) & v1_zfmisc_1(k1_altcat_1(A, C, B))) ) ) ) ) ) ) ) ) ) ).
fof(t27_altcat_3, axiom,  (! [A] :  (l1_altcat_1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v7_altcat_3(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, k1_altcat_1(A, C, B)) &  (r2_tarski(D, k1_altcat_1(A, C, B)) &  (! [E] :  (m1_subset_1(E, k1_altcat_1(A, C, B)) =>  (r2_tarski(E, k1_altcat_1(A, C, B)) => D=E) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_altcat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v7_altcat_3(B, A) & v7_altcat_3(C, A))  => r2_altcat_3(A, B, C)) ) ) ) ) ) ) ).
fof(d11_altcat_3, axiom,  (! [A] :  (l1_altcat_1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v8_altcat_3(B, A) <=>  (v6_altcat_3(B, A) & v7_altcat_3(B, A)) ) ) ) ) ) ).
fof(t29_altcat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v8_altcat_3(B, A) & v8_altcat_3(C, A))  => r2_altcat_3(A, B, C)) ) ) ) ) ) ) ).
fof(d12_altcat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_altcat_1(A, B, C)) =>  (v9_altcat_3(D, A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (v8_altcat_3(E, A) =>  (! [F] :  (m1_subset_1(F, k1_altcat_1(A, B, E)) =>  (! [G] :  (m1_subset_1(G, k1_altcat_1(A, E, C)) => D=k5_altcat_1(A, B, E, C, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_altcat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_altcat_1(A, B, C)) =>  (! [F] :  (m1_subset_1(F, k1_altcat_1(A, C, D)) =>  ( (v9_altcat_3(E, A, B, C) & v9_altcat_3(F, A, C, D))  => v9_altcat_3(k5_altcat_1(A, B, C, D, E, F), A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_altcat_3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, k1_altcat_1(A, B, C))) ) )  => m1_subset_1(k1_altcat_3(A, B, C, D), k1_altcat_1(A, C, B))) ) ).
fof(symmetry_r2_altcat_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r2_altcat_3(A, B, C) => r2_altcat_3(A, C, B)) ) ) ).
fof(reflexivity_r2_altcat_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => r2_altcat_3(A, B, B)) ) ).
fof(fc1_altcat_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v12_altcat_1(A) & l2_altcat_1(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  ~ (v1_xboole_0(k1_altcat_1(A, B, B))) ) ) ).
fof(fc2_altcat_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v12_altcat_1(A) & l2_altcat_1(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_altcat_3(k8_altcat_1(A, B), A, B, B) &  (v2_altcat_3(k8_altcat_1(A, B), A, B, B) &  (v4_altcat_3(k8_altcat_1(A, B), A, B, B) & v5_altcat_3(k8_altcat_1(A, B), A, B, B)) ) ) ) ) ).
fof(fc3_altcat_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => v3_altcat_3(k8_altcat_1(A, B), A, B, B)) ) ).
fof(rc1_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (? [B] :  (m1_altcat_2(B, A) &  ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v6_altcat_1(B) &  (v2_altcat_2(B, A) & v3_altcat_2(B, A)) ) ) ) ) ) ) ) ).
fof(fc4_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  ( ~ (v2_struct_0(k1_altcat_4(A)))  &  (v2_altcat_1(k1_altcat_4(A)) &  (v6_altcat_1(k1_altcat_4(A)) & v3_altcat_2(k1_altcat_4(A), A)) ) ) ) ) ).
fof(fc5_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  ( ~ (v2_struct_0(k2_altcat_4(A)))  &  (v2_altcat_1(k2_altcat_4(A)) &  (v6_altcat_1(k2_altcat_4(A)) & v3_altcat_2(k2_altcat_4(A), A)) ) ) ) ) ).
fof(fc6_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  ( ~ (v2_struct_0(k3_altcat_4(A)))  &  (v2_altcat_1(k3_altcat_4(A)) &  (v6_altcat_1(k3_altcat_4(A)) & v3_altcat_2(k3_altcat_4(A), A)) ) ) ) ) ).
fof(fc7_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  ( ~ (v2_struct_0(k4_altcat_4(A)))  &  (v2_altcat_1(k4_altcat_4(A)) &  (v6_altcat_1(k4_altcat_4(A)) & v3_altcat_2(k4_altcat_4(A), A)) ) ) ) ) ).
fof(fc8_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  ( ~ (v2_struct_0(k5_altcat_4(A)))  &  (v2_altcat_1(k5_altcat_4(A)) &  (v6_altcat_1(k5_altcat_4(A)) & v3_altcat_2(k5_altcat_4(A), A)) ) ) ) ) ).
fof(t1_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_altcat_1(A, B, C)) =>  (! [F] :  (m1_subset_1(F, k1_altcat_1(A, B, D)) =>  (! [G] :  (m1_subset_1(G, k1_altcat_1(A, C, D)) =>  ( (F=k5_altcat_1(A, B, C, D, E, G) & k5_altcat_1(A, C, D, C, G, k1_altcat_3(A, C, D, G))=k8_altcat_1(A, C))  =>  (k1_altcat_1(A, B, C)=k1_xboole_0 |  (k1_altcat_1(A, C, D)=k1_xboole_0 |  (k1_altcat_1(A, D, C)=k1_xboole_0 | E=k5_altcat_1(A, B, D, C, F, k1_altcat_3(A, C, D, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_altcat_1(A, C, D)) =>  (! [F] :  (m1_subset_1(F, k1_altcat_1(A, B, D)) =>  (! [G] :  (m1_subset_1(G, k1_altcat_1(A, B, C)) =>  ( (F=k5_altcat_1(A, B, C, D, G, E) & k5_altcat_1(A, C, B, C, k1_altcat_3(A, B, C, G), G)=k8_altcat_1(A, C))  =>  (k1_altcat_1(A, B, C)=k1_xboole_0 |  (k1_altcat_1(A, C, B)=k1_xboole_0 |  (k1_altcat_1(A, C, D)=k1_xboole_0 | E=k5_altcat_1(A, C, B, D, k1_altcat_3(A, B, C, G), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_altcat_1(A, B, C)) =>  (v3_altcat_3(D, A, B, C) =>  (k1_altcat_1(A, B, C)=k1_xboole_0 |  (k1_altcat_1(A, C, B)=k1_xboole_0 | v3_altcat_3(k1_altcat_3(A, B, C, D), A, C, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v12_altcat_1(A) & l2_altcat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v5_altcat_3(k8_altcat_1(A, B), A, B, B) & v4_altcat_3(k8_altcat_1(A, B), A, B, B)) ) ) ) ) ).
fof(t5_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_altcat_1(A, B, C)) =>  (! [E] :  (m1_subset_1(E, k1_altcat_1(A, C, B)) =>  (! [F] :  (m1_subset_1(F, k1_altcat_1(A, C, B)) =>  ( (k5_altcat_1(A, B, C, B, D, F)=k8_altcat_1(A, B) & k5_altcat_1(A, C, B, C, E, D)=k8_altcat_1(A, C))  =>  (k1_altcat_1(A, B, C)=k1_xboole_0 |  (k1_altcat_1(A, C, B)=k1_xboole_0 | E=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_altcat_1(A, B, C)) => v2_altcat_3(D, A, B, C)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_altcat_1(A, B, C)) =>  ~ ( ( ~ (k1_altcat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k1_altcat_1(A, C, B)=k1_xboole_0)  &  ~ (v3_altcat_3(D, A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_altcat_1(A, B, C)) =>  (! [E] :  (m1_subset_1(E, k1_altcat_1(A, B, C)) =>  ( (v9_altcat_3(D, A, B, C) & v9_altcat_3(E, A, B, C))  =>  ( (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ (v8_altcat_3(F, A)) ) )  | D=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_altcat_1(A, B, C)) =>  (v7_altcat_3(B, A) => v4_altcat_3(D, A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t9_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_altcat_1(A, C, B)) =>  (v6_altcat_3(B, A) => v5_altcat_3(D, A, C, B)) ) ) ) ) ) ) ) ) ).
fof(t10_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v7_altcat_3(C, A) & r2_altcat_3(A, B, C))  => v7_altcat_3(B, A)) ) ) ) ) ) ) ).
fof(t11_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v6_altcat_3(B, A) & r2_altcat_3(A, B, C))  => v6_altcat_3(C, A)) ) ) ) ) ) ) ).
fof(t12_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v6_altcat_3(B, A) & v7_altcat_3(C, A))  =>  (k1_altcat_1(A, C, B)=k1_xboole_0 |  (v6_altcat_3(C, A) & v7_altcat_3(B, A)) ) ) ) ) ) ) ) ) ).
fof(t13_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( (v16_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k7_functor0(A, B, C, D, D, k8_altcat_1(A, D))=k8_altcat_1(B, k2_functor0(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t14_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_altcat_1(B))  =>  (! [C] :  ( (v11_functor0(C, A, B) & l2_functor0(C, A, B))  =>  (v18_functor0(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => v2_funct_2(k6_functor0(A, B, C, E, D), k1_altcat_1(B, k2_functor0(A, B, C, D), k2_functor0(A, B, C, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_altcat_1(B))  =>  (! [C] :  ( (v11_functor0(C, A, B) & l2_functor0(C, A, B))  =>  (v17_functor0(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => v2_funct_1(k6_functor0(A, B, C, E, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_altcat_1(B))  =>  (! [C] :  ( (v10_functor0(C, A, B) & l2_functor0(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_altcat_1(B, k2_functor0(A, B, C, D), k2_functor0(A, B, C, E))) =>  ~ ( ( ~ (k1_altcat_1(A, D, E)=k1_xboole_0)  &  (v18_functor0(C, A, B) &  (v8_functor0(C, A, B) &  (! [G] :  (m1_subset_1(G, k1_altcat_1(A, D, E)) =>  ~ (F=k5_functor0(A, B, C, D, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_altcat_1(B))  =>  (! [C] :  ( (v11_functor0(C, A, B) & l2_functor0(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_altcat_1(B, k2_functor0(A, B, C, E), k2_functor0(A, B, C, D))) =>  ~ ( ( ~ (k1_altcat_1(A, D, E)=k1_xboole_0)  &  (v18_functor0(C, A, B) &  (v8_functor0(C, A, B) &  (! [G] :  (m1_subset_1(G, k1_altcat_1(A, D, E)) =>  ~ (F=k7_functor0(A, B, C, D, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_altcat_1(A, D, E)) =>  (v1_altcat_3(F, A, D, E) =>  (k1_altcat_1(A, D, E)=k1_xboole_0 |  (k1_altcat_1(A, E, D)=k1_xboole_0 | v1_altcat_3(k5_functor0(A, B, C, D, E, F), B, k2_functor0(A, B, C, D), k2_functor0(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_altcat_1(A, D, E)) =>  (v2_altcat_3(F, A, D, E) =>  (k1_altcat_1(A, D, E)=k1_xboole_0 |  (k1_altcat_1(A, E, D)=k1_xboole_0 | v2_altcat_3(k5_functor0(A, B, C, D, E, F), B, k2_functor0(A, B, C, D), k2_functor0(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  =>  (! [C] :  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_altcat_1(A, D, E)) =>  (v3_altcat_3(F, A, D, E) =>  (k1_altcat_1(A, D, E)=k1_xboole_0 |  (k1_altcat_1(A, E, D)=k1_xboole_0 | v3_altcat_3(k5_functor0(A, B, C, D, E, F), B, k2_functor0(A, B, C, D), k2_functor0(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  =>  (! [C] :  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_altcat_3(A, D, E) => r2_altcat_3(B, k2_functor0(A, B, C, D), k2_functor0(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( (v16_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_altcat_1(A, D, E)) =>  (v1_altcat_3(F, A, D, E) =>  (k1_altcat_1(A, D, E)=k1_xboole_0 |  (k1_altcat_1(A, E, D)=k1_xboole_0 | v2_altcat_3(k7_functor0(A, B, C, D, E, F), B, k2_functor0(A, B, C, E), k2_functor0(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( (v16_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_altcat_1(A, D, E)) =>  (v2_altcat_3(F, A, D, E) =>  (k1_altcat_1(A, D, E)=k1_xboole_0 |  (k1_altcat_1(A, E, D)=k1_xboole_0 | v1_altcat_3(k7_functor0(A, B, C, D, E, F), B, k2_functor0(A, B, C, E), k2_functor0(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  =>  (! [C] :  ( (v16_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_altcat_1(A, D, E)) =>  (v3_altcat_3(F, A, D, E) =>  (k1_altcat_1(A, D, E)=k1_xboole_0 |  (k1_altcat_1(A, E, D)=k1_xboole_0 | v3_altcat_3(k7_functor0(A, B, C, D, E, F), B, k2_functor0(A, B, C, E), k2_functor0(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  =>  (! [C] :  ( (v16_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_altcat_3(A, D, E) => r2_altcat_3(B, k2_functor0(A, B, C, E), k2_functor0(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_altcat_1(A, D, E)) =>  ( (v18_functor0(C, A, B) &  (v17_functor0(C, A, B) & v1_altcat_3(k5_functor0(A, B, C, D, E, F), B, k2_functor0(A, B, C, D), k2_functor0(A, B, C, E))) )  =>  (k1_altcat_1(A, D, E)=k1_xboole_0 |  (k1_altcat_1(A, E, D)=k1_xboole_0 | v1_altcat_3(F, A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_altcat_1(A, D, E)) =>  ( (v18_functor0(C, A, B) &  (v17_functor0(C, A, B) & v2_altcat_3(k5_functor0(A, B, C, D, E, F), B, k2_functor0(A, B, C, D), k2_functor0(A, B, C, E))) )  =>  (k1_altcat_1(A, D, E)=k1_xboole_0 |  (k1_altcat_1(A, E, D)=k1_xboole_0 | v2_altcat_3(F, A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  =>  (! [C] :  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_altcat_1(A, D, E)) =>  ( (v18_functor0(C, A, B) &  (v17_functor0(C, A, B) & v3_altcat_3(k5_functor0(A, B, C, D, E, F), B, k2_functor0(A, B, C, D), k2_functor0(A, B, C, E))) )  =>  (k1_altcat_1(A, D, E)=k1_xboole_0 |  (k1_altcat_1(A, E, D)=k1_xboole_0 | v3_altcat_3(F, A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  =>  (! [C] :  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (v18_functor0(C, A, B) &  (v17_functor0(C, A, B) & r2_altcat_3(B, k2_functor0(A, B, C, D), k2_functor0(A, B, C, E))) )  =>  (k1_altcat_1(A, D, E)=k1_xboole_0 |  (k1_altcat_1(A, E, D)=k1_xboole_0 | r2_altcat_3(A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( (v16_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_altcat_1(A, D, E)) =>  ( (v18_functor0(C, A, B) &  (v17_functor0(C, A, B) & v1_altcat_3(k7_functor0(A, B, C, D, E, F), B, k2_functor0(A, B, C, E), k2_functor0(A, B, C, D))) )  =>  (k1_altcat_1(A, D, E)=k1_xboole_0 |  (k1_altcat_1(A, E, D)=k1_xboole_0 | v2_altcat_3(F, A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( (v16_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_altcat_1(A, D, E)) =>  ( (v18_functor0(C, A, B) &  (v17_functor0(C, A, B) & v2_altcat_3(k7_functor0(A, B, C, D, E, F), B, k2_functor0(A, B, C, E), k2_functor0(A, B, C, D))) )  =>  (k1_altcat_1(A, D, E)=k1_xboole_0 |  (k1_altcat_1(A, E, D)=k1_xboole_0 | v1_altcat_3(F, A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  =>  (! [C] :  ( (v16_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_altcat_1(A, D, E)) =>  ( (v18_functor0(C, A, B) &  (v17_functor0(C, A, B) & v3_altcat_3(k7_functor0(A, B, C, D, E, F), B, k2_functor0(A, B, C, E), k2_functor0(A, B, C, D))) )  =>  (k1_altcat_1(A, D, E)=k1_xboole_0 |  (k1_altcat_1(A, E, D)=k1_xboole_0 | v3_altcat_3(F, A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  =>  (! [C] :  ( (v16_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (v18_functor0(C, A, B) &  (v17_functor0(C, A, B) & r2_altcat_3(B, k2_functor0(A, B, C, E), k2_functor0(A, B, C, D))) )  =>  (k1_altcat_1(A, D, E)=k1_xboole_0 |  (k1_altcat_1(A, E, D)=k1_xboole_0 | r2_altcat_3(A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_altcat_4, axiom,  (! [A] :  (l2_altcat_1(A) =>  (! [B] :  (m1_altcat_2(B, A) =>  ( (u1_struct_0(A)=u1_struct_0(B) & u1_altcat_1(A)=u1_altcat_1(B))  => v2_altcat_2(B, A)) ) ) ) ) ).
fof(t35_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v12_altcat_1(A) & l2_altcat_1(A)) )  =>  (! [B] :  (m1_altcat_2(B, A) =>  ( (u1_struct_0(A)=u1_struct_0(B) & u1_altcat_1(A)=u1_altcat_1(B))  => v3_altcat_2(B, A)) ) ) ) ) ).
fof(t36_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v3_altcat_2(B, A) & m1_altcat_2(B, A)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_altcat_1(C) &  (v3_altcat_2(C, B) & m1_altcat_2(C, B)) ) )  =>  ( ~ (v2_struct_0(C))  &  (v2_altcat_1(C) &  (v3_altcat_2(C, A) & m1_altcat_2(C, A)) ) ) ) ) ) ) ) ) ).
fof(t37_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) & l2_altcat_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) & m1_altcat_2(B, A)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, k1_altcat_1(A, C, D)) =>  (! [H] :  (m1_subset_1(H, k1_altcat_1(B, E, F)) =>  ( (E=C &  (F=D & G=H) )  =>  (k1_altcat_1(B, E, F)=k1_xboole_0 |  ( (v4_altcat_3(G, A, C, D) => v4_altcat_3(H, B, E, F))  &  (v5_altcat_3(G, A, C, D) => v5_altcat_3(H, B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v3_altcat_2(B, A) & m1_altcat_2(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, k1_altcat_1(A, C, D)) =>  (! [H] :  (m1_subset_1(H, k1_altcat_1(A, D, C)) =>  (! [I] :  (m1_subset_1(I, k1_altcat_1(B, E, F)) =>  (! [J] :  (m1_subset_1(J, k1_altcat_1(B, F, E)) =>  ( (E=C &  (F=D &  (G=I & H=J) ) )  =>  (k1_altcat_1(B, E, F)=k1_xboole_0 |  (k1_altcat_1(B, F, E)=k1_xboole_0 |  ( (r1_altcat_3(A, C, D, G, H) => r1_altcat_3(B, E, F, I, J))  &  ( (r1_altcat_3(B, E, F, I, J) => r1_altcat_3(A, C, D, G, H))  &  ( (r1_altcat_3(A, D, C, H, G) => r1_altcat_3(B, F, E, J, I))  &  (r1_altcat_3(B, F, E, J, I) => r1_altcat_3(A, D, C, H, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v2_altcat_2(B, A) &  (v3_altcat_2(B, A) & m1_altcat_2(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, k1_altcat_1(A, C, D)) =>  (! [H] :  (m1_subset_1(H, k1_altcat_1(B, E, F)) =>  ( (E=C &  (F=D & G=H) )  =>  (k1_altcat_1(B, E, F)=k1_xboole_0 |  (k1_altcat_1(B, F, E)=k1_xboole_0 |  ( (v1_altcat_3(G, A, C, D) => v1_altcat_3(H, B, E, F))  &  ( (v2_altcat_3(G, A, C, D) => v2_altcat_3(H, B, E, F))  &  (v3_altcat_3(G, A, C, D) => v3_altcat_3(H, B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v3_altcat_2(B, A) & m1_altcat_2(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, k1_altcat_1(A, C, D)) =>  (! [H] :  (m1_subset_1(H, k1_altcat_1(B, E, F)) =>  ( (E=C &  (F=D & G=H) )  =>  (k1_altcat_1(B, E, F)=k1_xboole_0 |  (k1_altcat_1(B, F, E)=k1_xboole_0 |  ( (v1_altcat_3(H, B, E, F) => v1_altcat_3(G, A, C, D))  &  ( (v2_altcat_3(H, B, E, F) => v2_altcat_3(G, A, C, D))  &  (v3_altcat_3(H, B, E, F) => v3_altcat_3(G, A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v6_altcat_1(B) & m1_altcat_2(B, A)) ) )  =>  (B=k1_altcat_4(A) <=>  (u1_struct_0(B)=u1_struct_0(A) &  (r2_altcat_2(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_altcat_1(B), u1_altcat_1(A)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_altcat_1(A, C, D)) =>  (r2_tarski(E, k1_binop_1(u1_altcat_1(B), C, D)) <=>  ( ~ (k1_altcat_1(A, C, D)=k1_xboole_0)  & v4_altcat_3(E, A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v6_altcat_1(B) & m1_altcat_2(B, A)) ) )  =>  (B=k2_altcat_4(A) <=>  (u1_struct_0(B)=u1_struct_0(A) &  (r2_altcat_2(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_altcat_1(B), u1_altcat_1(A)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_altcat_1(A, C, D)) =>  (r2_tarski(E, k1_binop_1(u1_altcat_1(B), C, D)) <=>  ( ~ (k1_altcat_1(A, C, D)=k1_xboole_0)  & v5_altcat_3(E, A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v6_altcat_1(B) & m1_altcat_2(B, A)) ) )  =>  (B=k3_altcat_4(A) <=>  (u1_struct_0(B)=u1_struct_0(A) &  (r2_altcat_2(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_altcat_1(B), u1_altcat_1(A)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_altcat_1(A, C, D)) =>  (r2_tarski(E, k1_binop_1(u1_altcat_1(B), C, D)) <=>  ( ~ (k1_altcat_1(A, C, D)=k1_xboole_0)  &  ( ~ (k1_altcat_1(A, D, C)=k1_xboole_0)  & v1_altcat_3(E, A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v6_altcat_1(B) & m1_altcat_2(B, A)) ) )  =>  (B=k4_altcat_4(A) <=>  (u1_struct_0(B)=u1_struct_0(A) &  (r2_altcat_2(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_altcat_1(B), u1_altcat_1(A)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_altcat_1(A, C, D)) =>  (r2_tarski(E, k1_binop_1(u1_altcat_1(B), C, D)) <=>  ( ~ (k1_altcat_1(A, C, D)=k1_xboole_0)  &  ( ~ (k1_altcat_1(A, D, C)=k1_xboole_0)  & v2_altcat_3(E, A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v6_altcat_1(B) & m1_altcat_2(B, A)) ) )  =>  (B=k5_altcat_4(A) <=>  (u1_struct_0(B)=u1_struct_0(A) &  (r2_altcat_2(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_altcat_1(B), u1_altcat_1(A)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_altcat_1(A, C, D)) =>  (r2_tarski(E, k1_binop_1(u1_altcat_1(B), C, D)) <=>  ( ~ (k1_altcat_1(A, C, D)=k1_xboole_0)  &  ( ~ (k1_altcat_1(A, D, C)=k1_xboole_0)  & v3_altcat_3(E, A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  ( ~ (v2_struct_0(k5_altcat_4(A)))  &  (v2_altcat_1(k5_altcat_4(A)) &  (v3_altcat_2(k5_altcat_4(A), k3_altcat_4(A)) & m1_altcat_2(k5_altcat_4(A), k3_altcat_4(A))) ) ) ) ) ).
fof(t42_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  ( ~ (v2_struct_0(k5_altcat_4(A)))  &  (v2_altcat_1(k5_altcat_4(A)) &  (v3_altcat_2(k5_altcat_4(A), k4_altcat_4(A)) & m1_altcat_2(k5_altcat_4(A), k4_altcat_4(A))) ) ) ) ) ).
fof(t43_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  ( ~ (v2_struct_0(k4_altcat_4(A)))  &  (v2_altcat_1(k4_altcat_4(A)) &  (v3_altcat_2(k4_altcat_4(A), k1_altcat_4(A)) & m1_altcat_2(k4_altcat_4(A), k1_altcat_4(A))) ) ) ) ) ).
fof(t44_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  ( ~ (v2_struct_0(k3_altcat_4(A)))  &  (v2_altcat_1(k3_altcat_4(A)) &  (v3_altcat_2(k3_altcat_4(A), k2_altcat_4(A)) & m1_altcat_2(k3_altcat_4(A), k2_altcat_4(A))) ) ) ) ) ).
fof(t45_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_altcat_1(A, B, C)) => v4_altcat_3(D, A, B, C)) ) ) ) ) )  => g2_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A))=k1_altcat_4(A)) ) ) ).
fof(t46_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_altcat_1(A, B, C)) => v5_altcat_3(D, A, B, C)) ) ) ) ) )  => g2_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A))=k2_altcat_4(A)) ) ) ).
fof(t47_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_altcat_1(A, B, C)) =>  (v1_altcat_3(D, A, B, C) &  ~ (k1_altcat_1(A, C, B)=k1_xboole_0) ) ) ) ) ) ) )  => g2_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A))=k3_altcat_4(A)) ) ) ).
fof(t48_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_altcat_1(A, B, C)) =>  (v2_altcat_3(D, A, B, C) &  ~ (k1_altcat_1(A, C, B)=k1_xboole_0) ) ) ) ) ) ) )  => g2_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A))=k4_altcat_4(A)) ) ) ).
fof(t49_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_altcat_1(A, B, C)) =>  (v3_altcat_3(D, A, B, C) &  ~ (k1_altcat_1(A, C, B)=k1_xboole_0) ) ) ) ) ) ) )  => g2_altcat_1(u1_struct_0(A), u1_altcat_1(A), u2_altcat_1(A))=k5_altcat_4(A)) ) ) ).
fof(t50_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_altcat_4(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_altcat_4(A))) =>  (! [D] :  (m1_subset_1(D, k1_altcat_1(k1_altcat_4(A), B, C)) =>  ( ~ (k1_altcat_1(k1_altcat_4(A), B, C)=k1_xboole_0)  => v4_altcat_3(D, k1_altcat_4(A), B, C)) ) ) ) ) ) ) ) ) ).
fof(t51_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_altcat_4(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_altcat_4(A))) =>  (! [D] :  (m1_subset_1(D, k1_altcat_1(k2_altcat_4(A), B, C)) =>  ( ~ (k1_altcat_1(k2_altcat_4(A), B, C)=k1_xboole_0)  => v5_altcat_3(D, k2_altcat_4(A), B, C)) ) ) ) ) ) ) ) ) ).
fof(t52_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_altcat_4(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_altcat_4(A))) =>  (! [D] :  (m1_subset_1(D, k1_altcat_1(k5_altcat_4(A), B, C)) =>  ( ~ (k1_altcat_1(k5_altcat_4(A), B, C)=k1_xboole_0)  =>  (v3_altcat_3(D, k5_altcat_4(A), B, C) & r2_tarski(k1_altcat_3(k5_altcat_4(A), B, C, D), k1_altcat_1(k5_altcat_4(A), C, B))) ) ) ) ) ) ) ) ) ) ).
fof(t53_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  => k1_altcat_4(k1_altcat_4(A))=k1_altcat_4(A)) ) ).
fof(t54_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  => k2_altcat_4(k2_altcat_4(A))=k2_altcat_4(A)) ) ).
fof(t55_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  => k5_altcat_4(k5_altcat_4(A))=k5_altcat_4(A)) ) ).
fof(t56_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  => k5_altcat_4(k1_altcat_4(A))=k5_altcat_4(A)) ) ).
fof(t57_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  => k5_altcat_4(k2_altcat_4(A))=k5_altcat_4(A)) ) ).
fof(t58_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  => k5_altcat_4(k3_altcat_4(A))=k5_altcat_4(A)) ) ).
fof(t59_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  => k5_altcat_4(k4_altcat_4(A))=k5_altcat_4(A)) ) ).
fof(dt_k1_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  ( ~ (v2_struct_0(k1_altcat_4(A)))  &  (v2_altcat_1(k1_altcat_4(A)) &  (v6_altcat_1(k1_altcat_4(A)) & m1_altcat_2(k1_altcat_4(A), A)) ) ) ) ) ).
fof(dt_k2_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  ( ~ (v2_struct_0(k2_altcat_4(A)))  &  (v2_altcat_1(k2_altcat_4(A)) &  (v6_altcat_1(k2_altcat_4(A)) & m1_altcat_2(k2_altcat_4(A), A)) ) ) ) ) ).
fof(dt_k3_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  ( ~ (v2_struct_0(k3_altcat_4(A)))  &  (v2_altcat_1(k3_altcat_4(A)) &  (v6_altcat_1(k3_altcat_4(A)) & m1_altcat_2(k3_altcat_4(A), A)) ) ) ) ) ).
fof(dt_k4_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  ( ~ (v2_struct_0(k4_altcat_4(A)))  &  (v2_altcat_1(k4_altcat_4(A)) &  (v6_altcat_1(k4_altcat_4(A)) & m1_altcat_2(k4_altcat_4(A), A)) ) ) ) ) ).
fof(dt_k5_altcat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  ( ~ (v2_struct_0(k5_altcat_4(A)))  &  (v2_altcat_1(k5_altcat_4(A)) &  (v6_altcat_1(k5_altcat_4(A)) & m1_altcat_2(k5_altcat_4(A), A)) ) ) ) ) ).
fof(cc1_altcat_5, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v4_relat_1(A, k1_xboole_0)) ) ) ).
fof(fc1_altcat_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k7_altcat_1(A)))  &  (v6_altcat_1(k7_altcat_1(A)) &  (v10_altcat_1(k7_altcat_1(A)) & v1_altcat_5(k7_altcat_1(A))) ) ) ) ) ).
fof(rc1_altcat_5, axiom,  (? [A] :  (l2_altcat_1(A) &  ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v6_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & v1_altcat_5(A)) ) ) ) ) ) ) ).
fof(fc2_altcat_5, axiom,  (! [A] :  ( (v1_altcat_5(A) & l2_altcat_1(A))  =>  (v1_altcat_1(g1_altcat_1(u1_struct_0(A), u1_altcat_1(A))) & v1_altcat_5(g1_altcat_1(u1_struct_0(A), u1_altcat_1(A)))) ) ) ).
fof(rc2_altcat_5, axiom,  (? [A] :  (l1_altcat_1(A) &  (v1_altcat_1(A) & v1_altcat_5(A)) ) ) ).
fof(rc3_altcat_5, axiom,  (? [A] :  (l2_altcat_1(A) &  ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v6_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & v1_altcat_5(A)) ) ) ) ) ) ) ).
fof(fc3_altcat_5, axiom,  (! [A, B, C] :  ( ( (v1_altcat_5(A) & l1_altcat_1(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => v4_funct_1(k1_altcat_1(A, B, C))) ) ).
fof(cc2_altcat_5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_altcat_5(A) & l2_altcat_1(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (v1_funct_1(D) &  (v1_funct_2(D, C, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, u1_struct_0(A))))) ) ) )  =>  (! [E] :  (m1_altcat_5(E, A, B, C, D) => v1_funcop_1(E)) ) ) ) ).
fof(cc3_altcat_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_xboole_0, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_xboole_0, u1_struct_0(A))))) )  & m1_subset_1(C, u1_struct_0(A))) )  =>  (! [D] :  (m1_altcat_5(D, A, C, k1_xboole_0, B) => v2_altcat_5(D, A, k1_xboole_0, B, C)) ) ) ) ).
fof(fc4_altcat_5, axiom,  ( ~ (v2_struct_0(k7_altcat_1(k1_tarski(k1_xboole_0))))  &  (v6_altcat_1(k7_altcat_1(k1_tarski(k1_xboole_0))) &  (v10_altcat_1(k7_altcat_1(k1_tarski(k1_xboole_0))) & v4_altcat_5(k7_altcat_1(k1_tarski(k1_xboole_0)))) ) ) ).
fof(rc4_altcat_5, axiom,  (? [A] :  (l2_altcat_1(A) &  ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & v4_altcat_5(A)) ) ) ) ) ) ).
fof(rc5_altcat_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) &  (v4_altcat_5(A) & l2_altcat_1(A)) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) ) )  =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & v5_altcat_5(D, A, B, C)) ) ) ) ).
fof(cc4_altcat_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k1_xboole_0, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_xboole_0, u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v5_altcat_5(C, A, k1_xboole_0, B) => v7_altcat_3(C, A)) ) ) ) ) ).
fof(d1_altcat_5, axiom,  (! [A] :  (l1_altcat_1(A) =>  (v1_altcat_5(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => v4_funct_1(k1_altcat_1(A, B, C))) ) ) ) ) ) ) ).
fof(d2_altcat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, C, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, C) &  (v1_funct_1(E) & v1_partfun1(E, C)) ) )  =>  (m1_altcat_5(E, A, B, C, D) <=>  (! [F] :  ~ ( (r2_hidden(F, C) &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( (G=k1_funct_1(D, F) & m1_subset_1(k1_funct_1(E, F), k1_altcat_1(A, B, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_altcat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, C, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, C) &  (v1_funct_1(E) & v1_partfun1(E, C)) ) )  =>  (m1_altcat_5(E, A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, C) => m1_subset_1(k1_funct_1(E, F), k1_altcat_1(A, B, k3_funct_2(C, u1_struct_0(A), D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_altcat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_xboole_0, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_xboole_0, u1_struct_0(A))))) )  => m1_altcat_5(k1_xboole_0, A, B, k1_xboole_0, C)) ) ) ) ) ) ).
fof(d4_altcat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_altcat_5(E, A, D, B, C) =>  (v2_altcat_5(E, A, B, C, D) <=>  (! [F] :  ~ ( (r2_tarski(F, B) &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( (G=k1_funct_1(C, F) & r2_tarski(k1_funct_1(E, F), k1_altcat_1(A, D, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_altcat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_altcat_5(E, A, D, B, C) =>  (v2_altcat_5(E, A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, B) => r2_tarski(k1_altcat_5(A, D, B, C, E, F), k1_altcat_1(A, D, k3_funct_2(B, u1_struct_0(A), C, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_altcat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_altcat_5(E, A, D, B, C) =>  (v3_altcat_5(E, A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_altcat_5(G, A, F, B, C) =>  ~ ( (v2_altcat_5(G, A, B, C, F) &  (! [H] :  (m1_subset_1(H, k1_altcat_1(A, F, D)) =>  ~ ( (r2_tarski(H, k1_altcat_1(A, F, D)) &  ( (! [I] :  ~ ( (r2_tarski(I, B) &  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, k1_altcat_1(A, D, J)) =>  ~ ( (J=k1_funct_1(C, I) &  (K=k1_funct_1(E, I) & k1_funct_1(G, I)=k5_altcat_1(A, F, D, J, H, K)) ) ) ) ) ) ) ) ) )  &  (! [I] :  (m1_subset_1(I, k1_altcat_1(A, F, D)) =>  ( (! [J] :  ~ ( (r2_tarski(J, B) &  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  (! [L] :  (m1_subset_1(L, k1_altcat_1(A, D, K)) =>  ~ ( (K=k1_funct_1(C, J) &  (L=k1_funct_1(E, J) & k1_funct_1(G, J)=k5_altcat_1(A, F, D, K, I, L)) ) ) ) ) ) ) ) ) )  => H=I) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_altcat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_altcat_5(E, A, D, B, C) =>  (v3_altcat_5(E, A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_altcat_5(G, A, F, B, C) =>  ~ ( (v2_altcat_5(G, A, B, C, F) &  (! [H] :  (m1_subset_1(H, k1_altcat_1(A, F, D)) =>  ~ ( (r2_tarski(H, k1_altcat_1(A, F, D)) &  ( (! [I] :  (m1_subset_1(I, B) => k1_altcat_5(A, F, B, C, G, I)=k5_altcat_1(A, F, D, k3_funct_2(B, u1_struct_0(A), C, I), H, k1_altcat_5(A, D, B, C, E, I))) )  &  (! [I] :  (m1_subset_1(I, k1_altcat_1(A, F, D)) =>  ( (! [J] :  (m1_subset_1(J, B) => k1_altcat_5(A, F, B, C, G, J)=k5_altcat_1(A, F, D, k3_funct_2(B, u1_struct_0(A), C, J), I, k1_altcat_5(A, D, B, C, E, J))) )  => H=I) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_altcat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_xboole_0, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_xboole_0, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (v7_altcat_3(C, A) &  (! [D] :  (m1_altcat_5(D, A, C, k1_xboole_0, B) =>  ~ ( (v1_xboole_0(D) & v3_altcat_5(D, A, k1_xboole_0, B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_altcat_5, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, u1_struct_0(k7_altcat_1(k1_tarski(k1_xboole_0)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k7_altcat_1(k1_tarski(k1_xboole_0))))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_altcat_1(k1_tarski(k1_xboole_0)))) => m1_altcat_5(k7_funcop_1(A, k1_xboole_0), k7_altcat_1(k1_tarski(k1_xboole_0)), C, A, B)) ) ) ) ) ).
fof(t4_altcat_5, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, u1_struct_0(k7_altcat_1(k1_tarski(k1_xboole_0)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k7_altcat_1(k1_tarski(k1_xboole_0))))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_altcat_1(k1_tarski(k1_xboole_0)))) =>  (! [D] :  (m1_altcat_5(D, k7_altcat_1(k1_tarski(k1_xboole_0)), C, A, B) =>  (r6_pboole(A, D, k7_funcop_1(A, k1_xboole_0)) =>  (v2_altcat_5(D, k7_altcat_1(k1_tarski(k1_xboole_0)), A, B, C) & v3_altcat_5(D, k7_altcat_1(k1_tarski(k1_xboole_0)), A, B, C)) ) ) ) ) ) ) ) ) ).
fof(d8_altcat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (v4_altcat_5(A) <=>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_altcat_5(E, A, D, B, C) &  (v2_altcat_5(E, A, B, C, D) & v3_altcat_5(E, A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_altcat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (v5_altcat_5(D, A, B, C) <=>  (? [E] :  (m1_altcat_5(E, A, D, B, C) &  (v2_altcat_5(E, A, B, C, D) & v3_altcat_5(E, A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_altcat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_xboole_0, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_xboole_0, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v7_altcat_3(C, A) => v5_altcat_5(C, A, k1_xboole_0, B)) ) ) ) ) ) ) ).
fof(t6_altcat_5, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  ( (v5_altcat_5(D, B, A, C) & v5_altcat_5(E, B, A, C))  => r2_altcat_3(B, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(d10_altcat_5, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(k7_altcat_1(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k7_altcat_1(B)))))) )  =>  (r2_tarski(k4_card_3(C), B) => k2_altcat_5(A, B, C)=k4_card_3(C)) ) ) ) ) ) ).
fof(d11_altcat_5, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(k7_altcat_1(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k7_altcat_1(B)))))) )  =>  (r2_tarski(k4_card_3(C), B) =>  (! [D] :  (m1_altcat_5(D, k7_altcat_1(B), k2_altcat_5(A, B, C), A, C) =>  (D=k3_altcat_5(A, B, C) <=>  (! [E] :  (r2_tarski(E, A) => k1_funct_1(D, E)=k12_card_3(C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_altcat_5, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(k7_altcat_1(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k7_altcat_1(B)))))) )  =>  ( (r2_tarski(k4_card_3(C), B) & k4_card_3(C)=k1_xboole_0)  => r6_pboole(A, k3_altcat_5(A, B, C), k7_funcop_1(A, k1_xboole_0))) ) ) ) ) ) ).
fof(t8_altcat_5, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(k7_altcat_1(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k7_altcat_1(B)))))) )  =>  (r2_tarski(k4_card_3(C), B) =>  (v2_altcat_5(k3_altcat_5(A, B, C), k7_altcat_1(B), A, C, k2_altcat_5(A, B, C)) & v3_altcat_5(k3_altcat_5(A, B, C), k7_altcat_1(B), A, C, k2_altcat_5(A, B, C))) ) ) ) ) ) ) ).
fof(t9_altcat_5, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(k7_altcat_1(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k7_altcat_1(B)))))) )  =>  (r2_tarski(k4_card_3(C), B) => v5_altcat_5(k2_altcat_5(A, B, C), k7_altcat_1(B), A, C)) ) ) ) ) ) ).
fof(t10_altcat_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(k7_altcat_1(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(k7_altcat_1(A)))))) )  => r2_tarski(k4_card_3(C), A)) ) )  => v4_altcat_5(k7_altcat_1(A))) ) ) ).
fof(dt_m1_altcat_5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  &  (m1_subset_1(B, u1_struct_0(A)) &  (v1_funct_1(D) &  (v1_funct_2(D, C, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, u1_struct_0(A))))) ) ) )  =>  (! [E] :  (m1_altcat_5(E, A, B, C, D) =>  (v1_relat_1(E) &  (v4_relat_1(E, C) &  (v1_funct_1(E) & v1_partfun1(E, C)) ) ) ) ) ) ) ).
fof(existence_m1_altcat_5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  &  (m1_subset_1(B, u1_struct_0(A)) &  (v1_funct_1(D) &  (v1_funct_2(D, C, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, u1_struct_0(A))))) ) ) )  =>  (? [E] : m1_altcat_5(E, A, B, C, D)) ) ) ).
fof(dt_k1_altcat_5, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  &  (m1_subset_1(B, u1_struct_0(A)) &  ( ~ (v1_xboole_0(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, C, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, u1_struct_0(A))))) )  &  (m1_altcat_5(E, A, B, C, D) & m1_subset_1(F, C)) ) ) ) )  => m1_subset_1(k1_altcat_5(A, B, C, D, E, F), k1_altcat_1(A, B, k3_funct_2(C, u1_struct_0(A), D, F)))) ) ).
fof(redefinition_k1_altcat_5, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  &  (m1_subset_1(B, u1_struct_0(A)) &  ( ~ (v1_xboole_0(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, C, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, u1_struct_0(A))))) )  &  (m1_altcat_5(E, A, B, C, D) & m1_subset_1(F, C)) ) ) ) )  => k1_altcat_5(A, B, C, D, E, F)=k1_funct_1(E, F)) ) ).
fof(dt_k2_altcat_5, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(k7_altcat_1(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k7_altcat_1(B)))))) ) )  => m1_subset_1(k2_altcat_5(A, B, C), u1_struct_0(k7_altcat_1(B)))) ) ).
fof(dt_k3_altcat_5, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(k7_altcat_1(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k7_altcat_1(B)))))) ) )  => m1_altcat_5(k3_altcat_5(A, B, C), k7_altcat_1(B), k2_altcat_5(A, B, C), A, C)) ) ).
fof(fc1_altcat_6, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  & m1_subset_1(C, A)) )  =>  (v1_relat_1(k2_msafree(A, B, C)) & v1_funct_1(k2_msafree(A, B, C))) ) ) ).
fof(cc1_altcat_6, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_altcat_5(A) & l2_altcat_1(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (v1_funct_1(D) &  (v1_funct_2(D, C, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, u1_struct_0(A))))) ) ) )  =>  (! [E] :  (m1_altcat_6(E, A, B, C, D) => v1_funcop_1(E)) ) ) ) ).
fof(cc2_altcat_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_xboole_0, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_xboole_0, u1_struct_0(A))))) )  & m1_subset_1(C, u1_struct_0(A))) )  =>  (! [D] :  (m1_altcat_6(D, A, C, k1_xboole_0, B) => v1_altcat_6(D, A, k1_xboole_0, B, C)) ) ) ) ).
fof(fc2_altcat_6, axiom,  ( ~ (v2_struct_0(k7_altcat_1(k1_tarski(k1_xboole_0))))  &  (v6_altcat_1(k7_altcat_1(k1_tarski(k1_xboole_0))) &  (v10_altcat_1(k7_altcat_1(k1_tarski(k1_xboole_0))) & v3_altcat_6(k7_altcat_1(k1_tarski(k1_xboole_0)))) ) ) ).
fof(rc1_altcat_6, axiom,  (? [A] :  (l2_altcat_1(A) &  ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v6_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) &  (v4_altcat_5(A) & v3_altcat_6(A)) ) ) ) ) ) ) ) ).
fof(rc2_altcat_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) &  (v3_altcat_6(A) & l2_altcat_1(A)) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) ) )  =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & v4_altcat_6(D, A, B, C)) ) ) ) ).
fof(cc3_altcat_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k1_xboole_0, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_xboole_0, u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v4_altcat_6(C, A, k1_xboole_0, B) => v6_altcat_3(C, A)) ) ) ) ) ).
fof(fc3_altcat_6, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(k7_altcat_1(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k7_altcat_1(B)))))) ) )  =>  (v1_relat_1(k3_altcat_6(A, B, C)) &  (v4_relat_1(k3_altcat_6(A, B, C), A) &  (v1_funct_1(k3_altcat_6(A, B, C)) &  (v1_partfun1(k3_altcat_6(A, B, C), A) & v1_funcop_1(k3_altcat_6(A, B, C))) ) ) ) ) ) ).
fof(d1_altcat_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, C, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, C) &  (v1_funct_1(E) & v1_partfun1(E, C)) ) )  =>  (m1_altcat_6(E, A, B, C, D) <=>  (! [F] :  ~ ( (r2_hidden(F, C) &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( (G=k1_funct_1(D, F) & m1_subset_1(k1_funct_1(E, F), k1_altcat_1(A, G, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_altcat_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, C, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, C) &  (v1_funct_1(E) & v1_partfun1(E, C)) ) )  =>  (m1_altcat_6(E, A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, C) => m1_subset_1(k1_funct_1(E, F), k1_altcat_1(A, k3_funct_2(C, u1_struct_0(A), D, F), B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_altcat_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_xboole_0, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_xboole_0, u1_struct_0(A))))) )  => m1_altcat_6(k1_xboole_0, A, B, k1_xboole_0, C)) ) ) ) ) ) ).
fof(d3_altcat_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_altcat_6(E, A, D, B, C) =>  (v1_altcat_6(E, A, B, C, D) <=>  (! [F] :  ~ ( (r2_tarski(F, B) &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( (G=k1_funct_1(C, F) & r2_tarski(k1_funct_1(E, F), k1_altcat_1(A, G, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_altcat_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_altcat_6(E, A, D, B, C) =>  (v1_altcat_6(E, A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, B) => r2_tarski(k1_altcat_6(A, D, B, C, E, F), k1_altcat_1(A, k3_funct_2(B, u1_struct_0(A), C, F), D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_altcat_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_altcat_6(E, A, D, B, C) =>  (v2_altcat_6(E, A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_altcat_6(G, A, F, B, C) =>  ~ ( (v1_altcat_6(G, A, B, C, F) &  (! [H] :  (m1_subset_1(H, k1_altcat_1(A, D, F)) =>  ~ ( (r2_tarski(H, k1_altcat_1(A, D, F)) &  ( (! [I] :  ~ ( (r2_tarski(I, B) &  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, k1_altcat_1(A, J, D)) =>  ~ ( (J=k1_funct_1(C, I) &  (K=k1_funct_1(E, I) & k1_funct_1(G, I)=k5_altcat_1(A, J, D, F, K, H)) ) ) ) ) ) ) ) ) )  &  (! [I] :  (m1_subset_1(I, k1_altcat_1(A, D, F)) =>  ( (! [J] :  ~ ( (r2_tarski(J, B) &  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  (! [L] :  (m1_subset_1(L, k1_altcat_1(A, K, D)) =>  ~ ( (K=k1_funct_1(C, J) &  (L=k1_funct_1(E, J) & k1_funct_1(G, J)=k5_altcat_1(A, K, D, F, L, I)) ) ) ) ) ) ) ) ) )  => H=I) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_altcat_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_altcat_6(E, A, D, B, C) =>  (v2_altcat_6(E, A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_altcat_6(G, A, F, B, C) =>  ~ ( (v1_altcat_6(G, A, B, C, F) &  (! [H] :  (m1_subset_1(H, k1_altcat_1(A, D, F)) =>  ~ ( (r2_tarski(H, k1_altcat_1(A, D, F)) &  ( (! [I] :  (m1_subset_1(I, B) => k1_altcat_6(A, F, B, C, G, I)=k5_altcat_1(A, k3_funct_2(B, u1_struct_0(A), C, I), D, F, k1_altcat_6(A, D, B, C, E, I), H)) )  &  (! [I] :  (m1_subset_1(I, k1_altcat_1(A, D, F)) =>  ( (! [J] :  (m1_subset_1(J, B) => k1_altcat_6(A, F, B, C, G, J)=k5_altcat_1(A, k3_funct_2(B, u1_struct_0(A), C, J), D, F, k1_altcat_6(A, D, B, C, E, J), I)) )  => H=I) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_altcat_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_xboole_0, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_xboole_0, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (v6_altcat_3(C, A) &  (! [D] :  (m1_altcat_6(D, A, C, k1_xboole_0, B) =>  ~ ( (v1_xboole_0(D) & v2_altcat_6(D, A, k1_xboole_0, B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_altcat_6, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, u1_struct_0(k7_altcat_1(k1_tarski(k1_xboole_0)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k7_altcat_1(k1_tarski(k1_xboole_0))))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_altcat_1(k1_tarski(k1_xboole_0)))) => m1_altcat_6(k7_funcop_1(A, k1_xboole_0), k7_altcat_1(k1_tarski(k1_xboole_0)), C, A, B)) ) ) ) ) ).
fof(t4_altcat_6, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, u1_struct_0(k7_altcat_1(k1_tarski(k1_xboole_0)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k7_altcat_1(k1_tarski(k1_xboole_0))))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_altcat_1(k1_tarski(k1_xboole_0)))) =>  (! [D] :  (m1_altcat_6(D, k7_altcat_1(k1_tarski(k1_xboole_0)), C, A, B) =>  (r6_pboole(A, D, k7_funcop_1(A, k1_xboole_0)) =>  (v1_altcat_6(D, k7_altcat_1(k1_tarski(k1_xboole_0)), A, B, C) & v2_altcat_6(D, k7_altcat_1(k1_tarski(k1_xboole_0)), A, B, C)) ) ) ) ) ) ) ) ) ).
fof(d7_altcat_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (v3_altcat_6(A) <=>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_altcat_6(E, A, D, B, C) &  (v1_altcat_6(E, A, B, C, D) & v2_altcat_6(E, A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_altcat_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (v4_altcat_6(D, A, B, C) <=>  (? [E] :  (m1_altcat_6(E, A, D, B, C) &  (v1_altcat_6(E, A, B, C, D) & v2_altcat_6(E, A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_altcat_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_xboole_0, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_xboole_0, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v6_altcat_3(C, A) => v4_altcat_6(C, A, k1_xboole_0, B)) ) ) ) ) ) ) ).
fof(t6_altcat_6, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  ( (v4_altcat_6(D, B, A, C) & v4_altcat_6(E, B, A, C))  => r2_altcat_3(B, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(d9_altcat_6, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(k7_altcat_1(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k7_altcat_1(B)))))) )  =>  (r2_tarski(k3_card_3(k3_msafree(A, C)), B) => k2_altcat_6(A, B, C)=k3_card_3(k3_msafree(A, C))) ) ) ) ) ) ).
fof(d10_altcat_6, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(k7_altcat_1(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k7_altcat_1(B)))))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (D=k3_altcat_6(A, B, C) <=>  (! [E] :  ~ ( (r2_hidden(E, A) &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k1_funct_1(C, E), k3_card_3(k3_msafree(A, C))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(C, E), k3_card_3(k3_msafree(A, C)))))) )  =>  ~ ( (k1_funct_1(D, E)=F &  (! [G] :  (r2_hidden(G, k1_funct_1(C, E)) => k1_funct_1(F, G)=k4_tarski(G, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_altcat_6, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(k7_altcat_1(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k7_altcat_1(B)))))) )  =>  (r2_tarski(k3_card_3(k3_msafree(A, C)), B) => k4_altcat_6(A, B, C)=k3_altcat_6(A, B, C)) ) ) ) ) ) ).
fof(t7_altcat_6, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(k7_altcat_1(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k7_altcat_1(B)))))) )  =>  (k3_card_3(k3_msafree(A, C))=k1_xboole_0 => v3_relat_1(k3_altcat_6(A, B, C))) ) ) ) ) ) ).
fof(t8_altcat_6, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(k7_altcat_1(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k7_altcat_1(B)))))) )  =>  (k3_card_3(k3_msafree(A, C))=k1_xboole_0 => v3_relat_1(C)) ) ) ) ) ) ).
fof(t9_altcat_6, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(k7_altcat_1(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k7_altcat_1(B)))))) )  =>  ( (r2_tarski(k3_card_3(k3_msafree(A, C)), B) & k3_card_3(k3_msafree(A, C))=k1_xboole_0)  => r6_pboole(A, k4_altcat_6(A, B, C), k7_funcop_1(A, k1_xboole_0))) ) ) ) ) ) ).
fof(t10_altcat_6, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(k7_altcat_1(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k7_altcat_1(B)))))) )  =>  (r2_tarski(k3_card_3(k3_msafree(A, C)), B) =>  (v1_altcat_6(k4_altcat_6(A, B, C), k7_altcat_1(B), A, C, k2_altcat_6(A, B, C)) & v2_altcat_6(k4_altcat_6(A, B, C), k7_altcat_1(B), A, C, k2_altcat_6(A, B, C))) ) ) ) ) ) ) ).
fof(t11_altcat_6, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(k7_altcat_1(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k7_altcat_1(B)))))) )  =>  (r2_tarski(k3_card_3(k3_msafree(A, C)), B) => v4_altcat_6(k2_altcat_6(A, B, C), k7_altcat_1(B), A, C)) ) ) ) ) ) ).
fof(t12_altcat_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(k7_altcat_1(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(k7_altcat_1(A)))))) )  => r2_tarski(k3_card_3(k3_msafree(B, C)), A)) ) )  => v3_altcat_6(k7_altcat_1(A))) ) ) ).
fof(dt_m1_altcat_6, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  &  (m1_subset_1(B, u1_struct_0(A)) &  (v1_funct_1(D) &  (v1_funct_2(D, C, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, u1_struct_0(A))))) ) ) )  =>  (! [E] :  (m1_altcat_6(E, A, B, C, D) =>  (v1_relat_1(E) &  (v4_relat_1(E, C) &  (v1_funct_1(E) & v1_partfun1(E, C)) ) ) ) ) ) ) ).
fof(existence_m1_altcat_6, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  &  (m1_subset_1(B, u1_struct_0(A)) &  (v1_funct_1(D) &  (v1_funct_2(D, C, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, u1_struct_0(A))))) ) ) )  =>  (? [E] : m1_altcat_6(E, A, B, C, D)) ) ) ).
fof(dt_k1_altcat_6, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  &  (m1_subset_1(B, u1_struct_0(A)) &  ( ~ (v1_xboole_0(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, C, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, u1_struct_0(A))))) )  &  (m1_altcat_6(E, A, B, C, D) & m1_subset_1(F, C)) ) ) ) )  => m1_subset_1(k1_altcat_6(A, B, C, D, E, F), k1_altcat_1(A, k3_funct_2(C, u1_struct_0(A), D, F), B))) ) ).
fof(redefinition_k1_altcat_6, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  &  (m1_subset_1(B, u1_struct_0(A)) &  ( ~ (v1_xboole_0(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, C, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, u1_struct_0(A))))) )  &  (m1_altcat_6(E, A, B, C, D) & m1_subset_1(F, C)) ) ) ) )  => k1_altcat_6(A, B, C, D, E, F)=k1_funct_1(E, F)) ) ).
fof(dt_k2_altcat_6, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(k7_altcat_1(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k7_altcat_1(B)))))) ) )  => m1_subset_1(k2_altcat_6(A, B, C), u1_struct_0(k7_altcat_1(B)))) ) ).
fof(dt_k3_altcat_6, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(k7_altcat_1(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k7_altcat_1(B)))))) ) )  =>  (v1_relat_1(k3_altcat_6(A, B, C)) &  (v4_relat_1(k3_altcat_6(A, B, C), A) &  (v1_funct_1(k3_altcat_6(A, B, C)) & v1_partfun1(k3_altcat_6(A, B, C), A)) ) ) ) ) ).
fof(dt_k4_altcat_6, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(k7_altcat_1(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k7_altcat_1(B)))))) ) )  => m1_altcat_6(k4_altcat_6(A, B, C), k7_altcat_1(B), k2_altcat_6(A, B, C), A, C)) ) ).
fof(fc1_ami_2, axiom,  ~ (v1_xboole_0(k1_ami_2)) ).
fof(fc2_ami_2, axiom,  (v1_relat_1(k3_relat_1(k3_ami_2, k4_ami_2)) & v2_relat_1(k3_relat_1(k3_ami_2, k4_ami_2))) ).
fof(fc3_ami_2, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))) & m1_subset_1(B, k2_ami_2))  => v1_int_1(k1_funct_1(A, B))) ) ).
fof(fc4_ami_2, axiom,  (! [A, B, C, D] :  ( (v1_xxreal_0(A) &  (v1_xxreal_0(B) &  (v7_ordinal1(C) & v7_ordinal1(D)) ) )  => v7_ordinal1(k5_xxreal_0(A, B, C, D))) ) ).
fof(d1_ami_2, axiom, k1_ami_2=k2_xboole_0(k1_tarski(k4_ordinal1), k2_scm_inst)).
fof(d4_ami_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k1_ami_2, k5_card_1(2)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_ami_2, k5_card_1(2))))) )  =>  (A=k3_ami_2 <=>  (! [B] :  (m1_subset_1(B, k1_ami_2) =>  ( (B=k4_ordinal1 => k3_funct_2(k1_ami_2, k5_card_1(2), A, B)=k5_numbers)  &  (r2_tarski(B, k2_ami_2) => k3_funct_2(k1_ami_2, k5_card_1(2), A, B)=1) ) ) ) ) ) ) ).
fof(d5_ami_2, axiom, k4_ami_2=k6_afinsq_1(k4_ordinal1, k4_numbers)).
fof(t6_ami_2, axiom, k1_funct_1(k3_relat_1(k3_ami_2, k4_ami_2), k4_ordinal1)=k4_ordinal1).
fof(t7_ami_2, axiom,  (! [A] :  (m1_subset_1(A, k1_ami_2) =>  (r2_tarski(A, k2_ami_2) => k1_funct_1(k3_relat_1(k3_ami_2, k4_ami_2), A)=k4_numbers) ) ) ).
fof(t8_ami_2, axiom,  (! [A] :  (m2_subset_1(A, k1_ami_2, k2_ami_2) => k1_funct_1(k3_relat_1(k3_ami_2, k4_ami_2), A)=k4_numbers) ) ).
fof(t9_ami_2, axiom, k5_card_3(k4_ordinal1, k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2)))=k4_ordinal1).
fof(t10_ami_2, axiom,  (! [A] :  (m2_subset_1(A, k1_ami_2, k2_ami_2) => k5_card_3(A, k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2)))=k4_numbers) ) ).
fof(d6_ami_2, axiom,  (! [A] :  (m1_subset_1(A, k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))) => k5_ami_2(A)=k1_funct_1(A, k4_ordinal1)) ) ).
fof(d7_ami_2, axiom,  (! [A] :  (m1_subset_1(A, k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))) =>  (! [B] :  (v7_ordinal1(B) => k6_ami_2(A, B)=k1_funct_4(A, k17_funcop_1(k4_ordinal1, B))) ) ) ) ).
fof(t11_ami_2, axiom,  (! [A] :  (m1_subset_1(A, k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))) =>  (! [B] :  (v7_ordinal1(B) => k1_funct_1(k6_ami_2(A, B), k4_ordinal1)=B) ) ) ) ).
fof(t12_ami_2, axiom,  (! [A] :  (m1_subset_1(A, k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_subset_1(C, k1_ami_2, k2_ami_2) => k1_funct_1(k6_ami_2(A, B), C)=k1_funct_1(A, C)) ) ) ) ) ) ).
fof(t13_ami_2, axiom,  (! [A] :  (m1_subset_1(A, k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k1_funct_1(k6_ami_2(A, B), C)=k1_funct_1(A, C)) ) ) ) ) ) ).
fof(d8_ami_2, axiom,  (! [A] :  (m1_subset_1(A, k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))) =>  (! [B] :  (m2_subset_1(B, k1_ami_2, k2_ami_2) =>  (! [C] :  (v1_int_1(C) => k7_ami_2(A, B, C)=k1_funct_4(A, k17_funcop_1(B, C))) ) ) ) ) ) ).
fof(t14_ami_2, axiom,  (! [A] :  (m1_subset_1(A, k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))) =>  (! [B] :  (m2_subset_1(B, k1_ami_2, k2_ami_2) =>  (! [C] :  (v1_int_1(C) => k1_funct_1(k7_ami_2(A, B, C), k4_ordinal1)=k1_funct_1(A, k4_ordinal1)) ) ) ) ) ) ).
fof(t15_ami_2, axiom,  (! [A] :  (m1_subset_1(A, k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))) =>  (! [B] :  (m2_subset_1(B, k1_ami_2, k2_ami_2) =>  (! [C] :  (v1_int_1(C) => k1_funct_1(k7_ami_2(A, B, C), B)=C) ) ) ) ) ) ).
fof(t16_ami_2, axiom,  (! [A] :  (m1_subset_1(A, k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))) =>  (! [B] :  (m2_subset_1(B, k1_ami_2, k2_ami_2) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (m2_subset_1(D, k1_ami_2, k2_ami_2) =>  ( ~ (D=B)  => k1_funct_1(k7_ami_2(A, B, C), D)=k1_funct_1(A, D)) ) ) ) ) ) ) ) ) ).
fof(d14_ami_2, axiom,  (! [A] :  (m1_subset_1(A, k3_scm_inst) =>  (! [B] :  (m1_subset_1(B, k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))) =>  ( ( (? [C] :  (m2_subset_1(C, k1_ami_2, k2_ami_2) &  (? [D] :  (m2_subset_1(D, k1_ami_2, k2_ami_2) & A=k3_xtuple_0(1, k1_xboole_0, k10_finseq_1(C, D))) ) ) )  => k8_ami_2(A, B)=k6_ami_2(k7_ami_2(B, k4_scm_inst(A), k1_funct_1(B, k5_scm_inst(A))), k2_xcmplx_0(k5_ami_2(B), 1)))  &  ( ( (? [C] :  (m2_subset_1(C, k1_ami_2, k2_ami_2) &  (? [D] :  (m2_subset_1(D, k1_ami_2, k2_ami_2) & A=k3_xtuple_0(2, k1_xboole_0, k10_finseq_1(C, D))) ) ) )  => k8_ami_2(A, B)=k6_ami_2(k7_ami_2(B, k4_scm_inst(A), k2_xcmplx_0(k1_funct_1(B, k4_scm_inst(A)), k1_funct_1(B, k5_scm_inst(A)))), k2_xcmplx_0(k5_ami_2(B), 1)))  &  ( ( (? [C] :  (m2_subset_1(C, k1_ami_2, k2_ami_2) &  (? [D] :  (m2_subset_1(D, k1_ami_2, k2_ami_2) & A=k3_xtuple_0(3, k1_xboole_0, k10_finseq_1(C, D))) ) ) )  => k8_ami_2(A, B)=k6_ami_2(k7_ami_2(B, k4_scm_inst(A), k6_xcmplx_0(k1_funct_1(B, k4_scm_inst(A)), k1_funct_1(B, k5_scm_inst(A)))), k2_xcmplx_0(k5_ami_2(B), 1)))  &  ( ( (? [C] :  (m2_subset_1(C, k1_ami_2, k2_ami_2) &  (? [D] :  (m2_subset_1(D, k1_ami_2, k2_ami_2) & A=k3_xtuple_0(4, k1_xboole_0, k10_finseq_1(C, D))) ) ) )  => k8_ami_2(A, B)=k6_ami_2(k7_ami_2(B, k4_scm_inst(A), k3_xcmplx_0(k1_funct_1(B, k4_scm_inst(A)), k1_funct_1(B, k5_scm_inst(A)))), k2_xcmplx_0(k5_ami_2(B), 1)))  &  ( ( (? [C] :  (m2_subset_1(C, k1_ami_2, k2_ami_2) &  (? [D] :  (m2_subset_1(D, k1_ami_2, k2_ami_2) & A=k3_xtuple_0(5, k1_xboole_0, k10_finseq_1(C, D))) ) ) )  => k8_ami_2(A, B)=k6_ami_2(k7_ami_2(k7_ami_2(B, k4_scm_inst(A), k4_int_1(k1_funct_1(B, k4_scm_inst(A)), k1_funct_1(B, k5_scm_inst(A)))), k5_scm_inst(A), k5_int_1(k1_funct_1(B, k4_scm_inst(A)), k1_funct_1(B, k5_scm_inst(A)))), k2_xcmplx_0(k5_ami_2(B), 1)))  &  ( ( (? [C] :  (v7_ordinal1(C) & A=k3_xtuple_0(6, k9_finseq_1(C), k1_xboole_0)) )  => k8_ami_2(A, B)=k6_ami_2(B, k6_scm_inst(A)))  &  ( ( (? [C] :  (v7_ordinal1(C) &  (? [D] :  (m2_subset_1(D, k1_ami_2, k2_ami_2) & A=k3_xtuple_0(7, k9_finseq_1(C), k12_finseq_1(k2_ami_2, D))) ) ) )  => k8_ami_2(A, B)=k6_ami_2(B, k15_funcop_1(k1_funct_1(B, k8_scm_inst(A)), k5_numbers, k7_scm_inst(A), k2_xcmplx_0(k5_ami_2(B), 1))))  &  ( ( (? [C] :  (v7_ordinal1(C) &  (? [D] :  (m2_subset_1(D, k1_ami_2, k2_ami_2) & A=k3_xtuple_0(8, k9_finseq_1(C), k12_finseq_1(k2_ami_2, D))) ) ) )  => k8_ami_2(A, B)=k6_ami_2(B, k5_xxreal_0(k1_funct_1(B, k8_scm_inst(A)), k5_numbers, k7_scm_inst(A), k2_xcmplx_0(k5_ami_2(B), 1))))  &  ( ( (! [C] :  (m2_subset_1(C, k1_ami_2, k2_ami_2) =>  (! [D] :  (m2_subset_1(D, k1_ami_2, k2_ami_2) =>  ~ (A=k3_xtuple_0(1, k1_xboole_0, k10_finseq_1(C, D))) ) ) ) )  &  ( (! [C] :  (m2_subset_1(C, k1_ami_2, k2_ami_2) =>  (! [D] :  (m2_subset_1(D, k1_ami_2, k2_ami_2) =>  ~ (A=k3_xtuple_0(2, k1_xboole_0, k10_finseq_1(C, D))) ) ) ) )  &  ( (! [C] :  (m2_subset_1(C, k1_ami_2, k2_ami_2) =>  (! [D] :  (m2_subset_1(D, k1_ami_2, k2_ami_2) =>  ~ (A=k3_xtuple_0(3, k1_xboole_0, k10_finseq_1(C, D))) ) ) ) )  &  ( (! [C] :  (m2_subset_1(C, k1_ami_2, k2_ami_2) =>  (! [D] :  (m2_subset_1(D, k1_ami_2, k2_ami_2) =>  ~ (A=k3_xtuple_0(4, k1_xboole_0, k10_finseq_1(C, D))) ) ) ) )  &  ( (! [C] :  (m2_subset_1(C, k1_ami_2, k2_ami_2) =>  (! [D] :  (m2_subset_1(D, k1_ami_2, k2_ami_2) =>  ~ (A=k3_xtuple_0(5, k1_xboole_0, k10_finseq_1(C, D))) ) ) ) )  &  ( (! [C] :  (v7_ordinal1(C) =>  ~ (A=k3_xtuple_0(6, k9_finseq_1(C), k1_xboole_0)) ) )  &  ( (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_subset_1(D, k1_ami_2, k2_ami_2) =>  ~ (A=k3_xtuple_0(7, k9_finseq_1(C), k12_finseq_1(k2_ami_2, D))) ) ) ) )  &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_subset_1(D, k1_ami_2, k2_ami_2) =>  ~ (A=k3_xtuple_0(8, k9_finseq_1(C), k12_finseq_1(k2_ami_2, D))) ) ) ) ) ) ) ) ) ) ) )  => k8_ami_2(A, B)=B) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_ami_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k3_scm_inst, k1_funct_2(k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2)), k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2)))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k3_scm_inst, k1_funct_2(k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2)), k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))))))) )  =>  (A=k9_ami_2 <=>  (! [B] :  (m1_subset_1(B, k3_scm_inst) =>  (! [C] :  (m1_subset_1(C, k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))) => k1_funct_1(k3_funct_2(k3_scm_inst, k1_funct_2(k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2)), k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))), A, B), C)=k8_ami_2(B, C)) ) ) ) ) ) ) ).
fof(t20_ami_2, axiom,  ~ (r2_tarski(k4_ordinal1, k2_ami_2)) ).
fof(t22_ami_2, axiom, r2_tarski(k4_ordinal1, k1_ami_2)).
fof(t23_ami_2, axiom,  (! [A] :  ~ ( (r2_tarski(A, k2_ami_2) &  (! [B] :  (v7_ordinal1(B) =>  ~ (A=k4_tarski(1, B)) ) ) ) ) ) ).
fof(t24_ami_2, axiom,  (! [A] :  (v7_ordinal1(A) => r2_hidden(k4_tarski(1, A), k2_ami_2)) ) ).
fof(t26_ami_2, axiom,  (! [A] :  (m1_subset_1(A, k1_ami_2) =>  (A=k4_ordinal1 | r2_tarski(A, k2_ami_2)) ) ) ).
fof(t27_ami_2, axiom, k9_xtuple_0(k3_relat_1(k3_ami_2, k4_ami_2))=k1_ami_2).
fof(t28_ami_2, axiom,  (! [A] :  (m1_subset_1(A, k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))) => k9_xtuple_0(A)=k1_ami_2) ) ).
fof(d16_ami_2, axiom,  (! [A] :  (v1_ami_2(A) <=> r2_tarski(A, k2_ami_2)) ) ).
fof(t29_ami_2, axiom,  (! [A] :  (m1_subset_1(A, k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))) =>  (v1_relat_1(A) &  (v4_relat_1(A, k1_ami_2) &  (v1_funct_1(A) & v1_partfun1(A, k1_ami_2)) ) ) ) ) ).
fof(dt_k2_ami_2, axiom, m1_subset_1(k2_ami_2, k1_zfmisc_1(k1_ami_2))).
fof(redefinition_k2_ami_2, axiom, k2_ami_2=k2_scm_inst).
fof(dt_k3_ami_2, axiom,  (v1_funct_1(k3_ami_2) &  (v1_funct_2(k3_ami_2, k1_ami_2, k5_card_1(2)) & m1_subset_1(k3_ami_2, k1_zfmisc_1(k2_zfmisc_1(k1_ami_2, k5_card_1(2))))) ) ).
fof(dt_k4_ami_2, axiom,  (v1_relat_1(k4_ami_2) &  (v4_relat_1(k4_ami_2, k5_card_1(2)) &  (v1_funct_1(k4_ami_2) & v1_partfun1(k4_ami_2, k5_card_1(2))) ) ) ).
fof(dt_k5_ami_2, axiom,  (! [A] :  (m1_subset_1(A, k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))) => m1_subset_1(k5_ami_2(A), k4_ordinal1)) ) ).
fof(dt_k6_ami_2, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))) & v7_ordinal1(B))  => m1_subset_1(k6_ami_2(A, B), k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2)))) ) ).
fof(dt_k7_ami_2, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))) &  (m1_subset_1(B, k2_ami_2) & v1_int_1(C)) )  => m1_subset_1(k7_ami_2(A, B, C), k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2)))) ) ).
fof(dt_k8_ami_2, axiom,  (! [A, B] :  ( (m1_subset_1(A, k3_scm_inst) & m1_subset_1(B, k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))))  => m1_subset_1(k8_ami_2(A, B), k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2)))) ) ).
fof(dt_k9_ami_2, axiom,  (v1_funct_1(k9_ami_2) &  (v1_funct_2(k9_ami_2, k3_scm_inst, k1_funct_2(k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2)), k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2)))) & m1_subset_1(k9_ami_2, k1_zfmisc_1(k2_zfmisc_1(k3_scm_inst, k1_funct_2(k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2)), k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))))))) ) ).
fof(fc1_ami_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ~ (v1_setfam_1(k6_ordinal1(A))) ) ) ).
fof(fc2_ami_3, axiom,  ( ~ (v2_struct_0(k1_ami_3))  & v1_extpro_1(k1_ami_3, k5_card_1(2))) ).
fof(fc3_ami_3, axiom,  (v2_memstr_0(k1_ami_3, k5_card_1(2)) & v1_extpro_1(k1_ami_3, k5_card_1(2))) ).
fof(fc4_ami_3, axiom,  (v3_memstr_0(k1_ami_3, k5_card_1(2)) & v1_extpro_1(k1_ami_3, k5_card_1(2))) ).
fof(rc1_ami_3, axiom,  (? [A] :  (m1_subset_1(A, u1_struct_0(k1_ami_3)) & v1_ami_2(A)) ) ).
fof(fc5_ami_3, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_ami_3)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(A, u1_struct_0(k1_ami_3))) ) ) )  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3))) )  => v1_int_1(k1_funct_1(A, B))) ) ).
fof(fc6_ami_3, axiom,  (v1_extpro_1(k1_ami_3, k5_card_1(2)) & v3_extpro_1(k1_ami_3, k5_card_1(2))) ).
fof(d1_ami_3, axiom, k1_ami_3=g1_extpro_1(k5_card_1(2), k1_ami_2, k10_subset_1(k4_ordinal1, k1_ami_2), k3_scm_inst, k3_ami_2, k4_ami_2, k9_ami_2)).
fof(d3_ami_3, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  =>  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3)))  => k2_ami_3(A, B)=k3_xtuple_0(1, k1_xboole_0, k10_finseq_1(A, B))) ) ) ) ).
fof(d4_ami_3, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  =>  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3)))  => k3_ami_3(A, B)=k3_xtuple_0(2, k1_xboole_0, k10_finseq_1(A, B))) ) ) ) ).
fof(d5_ami_3, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  =>  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3)))  => k4_ami_3(A, B)=k3_xtuple_0(3, k1_xboole_0, k10_finseq_1(A, B))) ) ) ) ).
fof(d6_ami_3, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  =>  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3)))  => k5_ami_3(A, B)=k3_xtuple_0(4, k1_xboole_0, k10_finseq_1(A, B))) ) ) ) ).
fof(d7_ami_3, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  =>  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3)))  => k6_ami_3(A, B)=k3_xtuple_0(5, k1_xboole_0, k10_finseq_1(A, B))) ) ) ) ).
fof(d8_ami_3, axiom,  (! [A] :  (v7_ordinal1(A) => k7_ami_3(A)=k3_xtuple_0(6, k9_finseq_1(A), k1_xboole_0)) ) ).
fof(d9_ami_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3)))  => k8_ami_3(A, B)=k3_xtuple_0(7, k9_finseq_1(A), k9_finseq_1(B))) ) ) ) ).
fof(d10_ami_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3)))  => k9_ami_3(A, B)=k3_xtuple_0(8, k9_finseq_1(A), k9_finseq_1(B))) ) ) ) ).
fof(t1_ami_3, axiom, k4_struct_0(k1_ami_3)=k4_ordinal1).
fof(t2_ami_3, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  =>  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3)))  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(k1_ami_3)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(C, u1_struct_0(k1_ami_3))) ) ) )  =>  (k1_funct_1(k2_extpro_1(k5_card_1(2), k1_ami_3, k2_ami_3(A, B), C), k4_struct_0(k1_ami_3))=k2_xcmplx_0(k5_memstr_0(k5_card_1(2), k1_ami_3, C), 1) &  (k1_funct_1(k2_extpro_1(k5_card_1(2), k1_ami_3, k2_ami_3(A, B), C), A)=k1_funct_1(C, B) &  (! [D] :  ( (v1_ami_2(D) & m1_subset_1(D, u1_struct_0(k1_ami_3)))  =>  ( ~ (D=A)  => k1_funct_1(k2_extpro_1(k5_card_1(2), k1_ami_3, k2_ami_3(A, B), C), D)=k1_funct_1(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_ami_3, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  =>  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3)))  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(k1_ami_3)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(C, u1_struct_0(k1_ami_3))) ) ) )  =>  (k1_funct_1(k2_extpro_1(k5_card_1(2), k1_ami_3, k3_ami_3(A, B), C), k4_struct_0(k1_ami_3))=k2_xcmplx_0(k5_memstr_0(k5_card_1(2), k1_ami_3, C), 1) &  (k1_funct_1(k2_extpro_1(k5_card_1(2), k1_ami_3, k3_ami_3(A, B), C), A)=k2_xcmplx_0(k1_funct_1(C, A), k1_funct_1(C, B)) &  (! [D] :  ( (v1_ami_2(D) & m1_subset_1(D, u1_struct_0(k1_ami_3)))  =>  ( ~ (D=A)  => k1_funct_1(k2_extpro_1(k5_card_1(2), k1_ami_3, k3_ami_3(A, B), C), D)=k1_funct_1(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_ami_3, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  =>  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3)))  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(k1_ami_3)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(C, u1_struct_0(k1_ami_3))) ) ) )  =>  (k1_funct_1(k2_extpro_1(k5_card_1(2), k1_ami_3, k4_ami_3(A, B), C), k4_struct_0(k1_ami_3))=k2_xcmplx_0(k5_memstr_0(k5_card_1(2), k1_ami_3, C), 1) &  (k1_funct_1(k2_extpro_1(k5_card_1(2), k1_ami_3, k4_ami_3(A, B), C), A)=k6_xcmplx_0(k1_funct_1(C, A), k1_funct_1(C, B)) &  (! [D] :  ( (v1_ami_2(D) & m1_subset_1(D, u1_struct_0(k1_ami_3)))  =>  ( ~ (D=A)  => k1_funct_1(k2_extpro_1(k5_card_1(2), k1_ami_3, k4_ami_3(A, B), C), D)=k1_funct_1(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_ami_3, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  =>  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3)))  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(k1_ami_3)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(C, u1_struct_0(k1_ami_3))) ) ) )  =>  (k1_funct_1(k2_extpro_1(k5_card_1(2), k1_ami_3, k5_ami_3(A, B), C), k4_struct_0(k1_ami_3))=k2_xcmplx_0(k5_memstr_0(k5_card_1(2), k1_ami_3, C), 1) &  (k1_funct_1(k2_extpro_1(k5_card_1(2), k1_ami_3, k5_ami_3(A, B), C), A)=k3_xcmplx_0(k1_funct_1(C, A), k1_funct_1(C, B)) &  (! [D] :  ( (v1_ami_2(D) & m1_subset_1(D, u1_struct_0(k1_ami_3)))  =>  ( ~ (D=A)  => k1_funct_1(k2_extpro_1(k5_card_1(2), k1_ami_3, k5_ami_3(A, B), C), D)=k1_funct_1(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_ami_3, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  =>  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3)))  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(k1_ami_3)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(C, u1_struct_0(k1_ami_3))) ) ) )  =>  (k1_funct_1(k2_extpro_1(k5_card_1(2), k1_ami_3, k6_ami_3(A, B), C), k4_struct_0(k1_ami_3))=k2_xcmplx_0(k5_memstr_0(k5_card_1(2), k1_ami_3, C), 1) &  ( ( ~ (A=B)  => k1_funct_1(k2_extpro_1(k5_card_1(2), k1_ami_3, k6_ami_3(A, B), C), A)=k4_int_1(k1_funct_1(C, A), k1_funct_1(C, B)))  &  (k1_funct_1(k2_extpro_1(k5_card_1(2), k1_ami_3, k6_ami_3(A, B), C), B)=k5_int_1(k1_funct_1(C, A), k1_funct_1(C, B)) &  (! [D] :  ( (v1_ami_2(D) & m1_subset_1(D, u1_struct_0(k1_ami_3)))  =>  ~ ( ( ~ (D=A)  &  ( ~ (D=B)  &  ~ (k1_funct_1(k2_extpro_1(k5_card_1(2), k1_ami_3, k6_ami_3(A, B), C), D)=k1_funct_1(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_ami_3, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(k1_ami_3)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(C, u1_struct_0(k1_ami_3))) ) ) )  =>  (k1_funct_1(k2_extpro_1(k5_card_1(2), k1_ami_3, k7_ami_3(B), C), k4_struct_0(k1_ami_3))=B & k1_funct_1(k2_extpro_1(k5_card_1(2), k1_ami_3, k7_ami_3(B), C), A)=k1_funct_1(C, A)) ) ) ) ) ) ) ).
fof(t8_ami_3, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  =>  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3)))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(k1_ami_3)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(D, u1_struct_0(k1_ami_3))) ) ) )  =>  ( (k1_funct_1(D, A)=k5_numbers => k1_funct_1(k2_extpro_1(k5_card_1(2), k1_ami_3, k8_ami_3(C, A), D), k4_struct_0(k1_ami_3))=C)  &  ( ( ~ (k1_funct_1(D, A)=k5_numbers)  => k1_funct_1(k2_extpro_1(k5_card_1(2), k1_ami_3, k8_ami_3(C, A), D), k4_struct_0(k1_ami_3))=k2_xcmplx_0(k5_memstr_0(k5_card_1(2), k1_ami_3, D), 1))  & k1_funct_1(k2_extpro_1(k5_card_1(2), k1_ami_3, k8_ami_3(C, A), D), B)=k1_funct_1(D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t9_ami_3, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  =>  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3)))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(k1_ami_3)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(D, u1_struct_0(k1_ami_3))) ) ) )  =>  ( ( ~ (r1_xxreal_0(k1_funct_1(D, A), k5_numbers))  => k1_funct_1(k2_extpro_1(k5_card_1(2), k1_ami_3, k9_ami_3(C, A), D), k4_struct_0(k1_ami_3))=C)  &  ( (r1_xxreal_0(k1_funct_1(D, A), k5_numbers) => k1_funct_1(k2_extpro_1(k5_card_1(2), k1_ami_3, k9_ami_3(C, A), D), k4_struct_0(k1_ami_3))=k2_xcmplx_0(k5_memstr_0(k5_card_1(2), k1_ami_3, D), 1))  & k1_funct_1(k2_extpro_1(k5_card_1(2), k1_ami_3, k9_ami_3(C, A), D), B)=k1_funct_1(D, B)) ) ) ) ) ) ) ) ) ) ).
fof(d11_ami_3, axiom,  (! [A] :  (v7_ordinal1(A) => k10_ami_3(A)=k4_tarski(1, A)) ) ).
fof(t10_ami_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (A=B)  & k10_ami_3(A)=k10_ami_3(B)) ) ) ) ) ) ).
fof(t11_ami_3, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  => k4_memstr_0(k5_card_1(2), k1_ami_3, A)=k4_numbers) ) ).
fof(t12_ami_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ (k10_ami_3(A)=B) ) ) ) ) ).
fof(t13_ami_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (k4_struct_0(k1_ami_3)=k10_ami_3(A))  &  ~ (k4_struct_0(k1_ami_3)=A) ) ) ) ).
fof(t14_ami_3, axiom,  (! [A] :  (m1_subset_1(A, u1_compos_1(k1_ami_3)) =>  ~ ( ( (? [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(k1_ami_3)) &  (v1_funct_1(B) &  (v5_funct_1(B, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(B, u1_struct_0(k1_ami_3))) ) ) )  & k1_funct_1(k2_extpro_1(k5_card_1(2), k1_ami_3, A, B), k4_struct_0(k1_ami_3))=k2_xcmplx_0(k5_memstr_0(k5_card_1(2), k1_ami_3, B), 1)) )  & v2_extpro_1(A, k5_card_1(2), k1_ami_3)) ) ) ) ).
fof(t15_ami_3, axiom,  (! [A] :  (m1_subset_1(A, u1_compos_1(k1_ami_3)) =>  (A=k3_xtuple_0(k5_numbers, k1_xboole_0, k1_xboole_0) => v2_extpro_1(A, k5_card_1(2), k1_ami_3)) ) ) ).
fof(t16_ami_3, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  =>  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3)))  =>  ~ (v2_extpro_1(k2_ami_3(A, B), k5_card_1(2), k1_ami_3)) ) ) ) ) ).
fof(t17_ami_3, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  =>  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3)))  =>  ~ (v2_extpro_1(k3_ami_3(A, B), k5_card_1(2), k1_ami_3)) ) ) ) ) ).
fof(t18_ami_3, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  =>  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3)))  =>  ~ (v2_extpro_1(k4_ami_3(A, B), k5_card_1(2), k1_ami_3)) ) ) ) ) ).
fof(t19_ami_3, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  =>  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3)))  =>  ~ (v2_extpro_1(k5_ami_3(A, B), k5_card_1(2), k1_ami_3)) ) ) ) ) ).
fof(t20_ami_3, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  =>  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3)))  =>  ~ (v2_extpro_1(k6_ami_3(A, B), k5_card_1(2), k1_ami_3)) ) ) ) ) ).
fof(t21_ami_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ (v2_extpro_1(k7_ami_3(A), k5_card_1(2), k1_ami_3)) ) ) ).
fof(t22_ami_3, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  =>  (! [B] :  (v7_ordinal1(B) =>  ~ (v2_extpro_1(k8_ami_3(B, A), k5_card_1(2), k1_ami_3)) ) ) ) ) ).
fof(t23_ami_3, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  =>  (! [B] :  (v7_ordinal1(B) =>  ~ (v2_extpro_1(k9_ami_3(B, A), k5_card_1(2), k1_ami_3)) ) ) ) ) ).
fof(t24_ami_3, axiom,  (! [A] :  (m1_subset_1(A, u1_compos_1(k1_ami_3)) <=>  ~ ( ( ~ (A=k3_xtuple_0(k5_numbers, k1_xboole_0, k1_xboole_0))  &  ( (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3)))  =>  (! [C] :  ( (v1_ami_2(C) & m1_subset_1(C, u1_struct_0(k1_ami_3)))  =>  ~ (A=k2_ami_3(B, C)) ) ) ) )  &  ( (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3)))  =>  (! [C] :  ( (v1_ami_2(C) & m1_subset_1(C, u1_struct_0(k1_ami_3)))  =>  ~ (A=k3_ami_3(B, C)) ) ) ) )  &  ( (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3)))  =>  (! [C] :  ( (v1_ami_2(C) & m1_subset_1(C, u1_struct_0(k1_ami_3)))  =>  ~ (A=k4_ami_3(B, C)) ) ) ) )  &  ( (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3)))  =>  (! [C] :  ( (v1_ami_2(C) & m1_subset_1(C, u1_struct_0(k1_ami_3)))  =>  ~ (A=k5_ami_3(B, C)) ) ) ) )  &  ( (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3)))  =>  (! [C] :  ( (v1_ami_2(C) & m1_subset_1(C, u1_struct_0(k1_ami_3)))  =>  ~ (A=k6_ami_3(B, C)) ) ) ) )  &  ( (! [B] :  (v7_ordinal1(B) =>  ~ (A=k7_ami_3(B)) ) )  &  ( (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3)))  =>  (! [C] :  (v7_ordinal1(C) =>  ~ (A=k8_ami_3(C, B)) ) ) ) )  &  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3)))  =>  (! [C] :  (v7_ordinal1(C) =>  ~ (A=k9_ami_3(C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_ami_3, axiom,  (! [A] :  (m1_subset_1(A, u1_compos_1(k1_ami_3)) =>  (v2_extpro_1(A, k5_card_1(2), k1_ami_3) => A=k2_compos_1(k1_ami_3)) ) ) ).
fof(t26_ami_3, axiom, k2_compos_1(k1_ami_3)=k3_xtuple_0(k5_numbers, k1_xboole_0, k1_xboole_0)).
fof(t27_ami_3, axiom, k8_struct_0(k1_ami_3)=k2_ami_2).
fof(t28_ami_3, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  => r2_tarski(A, k8_struct_0(k1_ami_3))) ) ).
fof(t29_ami_3, axiom,  (! [A] :  (m1_subset_1(A, k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))) =>  (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_ami_3)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(A, u1_struct_0(k1_ami_3))) ) ) ) ) ) ).
fof(t30_ami_3, axiom,  (! [A] :  (m1_subset_1(A, k3_scm_inst) => r1_xxreal_0(k5_compos_0(k3_scm_inst, A), 8)) ) ).
fof(dt_k1_ami_3, axiom,  (v1_extpro_1(k1_ami_3, k5_card_1(2)) & l1_extpro_1(k1_ami_3, k5_card_1(2))) ).
fof(dt_k2_ami_3, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3))) )  => m1_subset_1(k2_ami_3(A, B), u1_compos_1(k1_ami_3))) ) ).
fof(dt_k3_ami_3, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3))) )  => m1_subset_1(k3_ami_3(A, B), u1_compos_1(k1_ami_3))) ) ).
fof(dt_k4_ami_3, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3))) )  => m1_subset_1(k4_ami_3(A, B), u1_compos_1(k1_ami_3))) ) ).
fof(dt_k5_ami_3, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3))) )  => m1_subset_1(k5_ami_3(A, B), u1_compos_1(k1_ami_3))) ) ).
fof(dt_k6_ami_3, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3))) )  => m1_subset_1(k6_ami_3(A, B), u1_compos_1(k1_ami_3))) ) ).
fof(dt_k7_ami_3, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k7_ami_3(A), u1_compos_1(k1_ami_3))) ) ).
fof(dt_k8_ami_3, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3))) )  => m1_subset_1(k8_ami_3(A, B), u1_compos_1(k1_ami_3))) ) ).
fof(dt_k9_ami_3, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3))) )  => m1_subset_1(k9_ami_3(A, B), u1_compos_1(k1_ami_3))) ) ).
fof(dt_k10_ami_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_ami_2(k10_ami_3(A)) & m1_subset_1(k10_ami_3(A), u1_struct_0(k1_ami_3))) ) ) ).
fof(dt_k11_ami_3, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  & v1_int_1(B))  =>  (v1_relat_1(k11_ami_3(A, B)) &  (v4_relat_1(k11_ami_3(A, B), u1_struct_0(k1_ami_3)) &  (v1_funct_1(k11_ami_3(A, B)) & v5_funct_1(k11_ami_3(A, B), k2_memstr_0(k5_card_1(2), k1_ami_3))) ) ) ) ) ).
fof(redefinition_k11_ami_3, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  & v1_int_1(B))  => k11_ami_3(A, B)=k17_funcop_1(A, B)) ) ).
fof(dt_k12_ami_3, axiom,  (! [A, B, C, D] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  &  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3)))  &  (v1_int_1(C) & v1_int_1(D)) ) )  =>  (v1_relat_1(k12_ami_3(A, B, C, D)) &  (v4_relat_1(k12_ami_3(A, B, C, D), u1_struct_0(k1_ami_3)) &  (v1_funct_1(k12_ami_3(A, B, C, D)) & v5_funct_1(k12_ami_3(A, B, C, D), k2_memstr_0(k5_card_1(2), k1_ami_3))) ) ) ) ) ).
fof(redefinition_k12_ami_3, axiom,  (! [A, B, C, D] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  &  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3)))  &  (v1_int_1(C) & v1_int_1(D)) ) )  => k12_ami_3(A, B, C, D)=k6_funct_4(A, B, C, D)) ) ).
fof(fc1_ami_4, axiom,  (v1_relat_1(k1_ami_4) &  (v4_relat_1(k1_ami_4, k4_ordinal1) &  (v5_relat_1(k1_ami_4, u1_compos_1(k1_ami_3)) &  (v1_funct_1(k1_ami_4) & v1_finset_1(k1_ami_4)) ) ) ) ).
fof(fc2_ami_4, axiom,  (v1_relat_1(k1_ami_4) &  (v4_relat_1(k1_ami_4, k4_ordinal1) &  (v5_relat_1(k1_ami_4, u1_compos_1(k1_ami_3)) &  (v1_funct_1(k1_ami_4) &  (v1_finset_1(k1_ami_4) &  ~ (v2_compos_1(k1_ami_4, k1_ami_3)) ) ) ) ) ) ).
fof(d1_ami_4, axiom, k1_ami_4=k1_funct_4(k17_funcop_1(k5_numbers, k2_ami_3(k10_ami_3(2), k10_ami_3(1))), k1_funct_4(k17_funcop_1(1, k6_ami_3(k10_ami_3(k5_numbers), k10_ami_3(1))), k1_funct_4(k17_funcop_1(2, k2_ami_3(k10_ami_3(k5_numbers), k10_ami_3(2))), k1_funct_4(k17_funcop_1(3, k9_ami_3(k5_numbers, k10_ami_3(1))), k17_funcop_1(4, k2_compos_1(k1_ami_3))))))).
fof(t1_ami_4, axiom, k9_xtuple_0(k1_ami_4)=5).
fof(t2_ami_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_ami_3)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(A, u1_struct_0(k1_ami_3))) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(k1_ami_3)) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) ) )  =>  (r1_tarski(k1_ami_4, B) =>  (! [C] :  (v7_ordinal1(C) =>  (k5_memstr_0(k5_card_1(2), k1_ami_3, k5_extpro_1(k5_card_1(2), k1_ami_3, B, A, C))=k5_numbers =>  (k5_memstr_0(k5_card_1(2), k1_ami_3, k5_extpro_1(k5_card_1(2), k1_ami_3, B, A, k1_nat_1(C, 1)))=1 &  (k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, B, A, k1_nat_1(C, 1)), k10_ami_3(k5_numbers))=k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, B, A, C), k10_ami_3(k5_numbers)) &  (k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, B, A, k1_nat_1(C, 1)), k10_ami_3(1))=k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, B, A, C), k10_ami_3(1)) & k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, B, A, k1_nat_1(C, 1)), k10_ami_3(2))=k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, B, A, C), k10_ami_3(1))) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_ami_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_ami_3)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(A, u1_struct_0(k1_ami_3))) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(k1_ami_3)) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) ) )  =>  (r1_tarski(k1_ami_4, B) =>  (! [C] :  (v7_ordinal1(C) =>  (k5_memstr_0(k5_card_1(2), k1_ami_3, k5_extpro_1(k5_card_1(2), k1_ami_3, B, A, C))=1 =>  (k5_memstr_0(k5_card_1(2), k1_ami_3, k5_extpro_1(k5_card_1(2), k1_ami_3, B, A, k1_nat_1(C, 1)))=2 &  (k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, B, A, k1_nat_1(C, 1)), k10_ami_3(k5_numbers))=k4_int_1(k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, B, A, C), k10_ami_3(k5_numbers)), k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, B, A, C), k10_ami_3(1))) &  (k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, B, A, k1_nat_1(C, 1)), k10_ami_3(1))=k5_int_1(k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, B, A, C), k10_ami_3(k5_numbers)), k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, B, A, C), k10_ami_3(1))) & k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, B, A, k1_nat_1(C, 1)), k10_ami_3(2))=k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, B, A, C), k10_ami_3(2))) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_ami_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_ami_3)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(A, u1_struct_0(k1_ami_3))) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(k1_ami_3)) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) ) )  =>  (r1_tarski(k1_ami_4, B) =>  (! [C] :  (v7_ordinal1(C) =>  (k5_memstr_0(k5_card_1(2), k1_ami_3, k5_extpro_1(k5_card_1(2), k1_ami_3, B, A, C))=2 =>  (k5_memstr_0(k5_card_1(2), k1_ami_3, k5_extpro_1(k5_card_1(2), k1_ami_3, B, A, k1_nat_1(C, 1)))=3 &  (k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, B, A, k1_nat_1(C, 1)), k10_ami_3(k5_numbers))=k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, B, A, C), k10_ami_3(2)) &  (k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, B, A, k1_nat_1(C, 1)), k10_ami_3(1))=k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, B, A, C), k10_ami_3(1)) & k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, B, A, k1_nat_1(C, 1)), k10_ami_3(2))=k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, B, A, C), k10_ami_3(2))) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_ami_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_ami_3)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(A, u1_struct_0(k1_ami_3))) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(k1_ami_3)) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) ) )  =>  (r1_tarski(k1_ami_4, B) =>  (! [C] :  (v7_ordinal1(C) =>  (k5_memstr_0(k5_card_1(2), k1_ami_3, k5_extpro_1(k5_card_1(2), k1_ami_3, B, A, C))=3 =>  ( ( ~ (r1_xxreal_0(k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, B, A, C), k10_ami_3(1)), k5_numbers))  => k5_memstr_0(k5_card_1(2), k1_ami_3, k5_extpro_1(k5_card_1(2), k1_ami_3, B, A, k1_nat_1(C, 1)))=k5_numbers)  &  ( (r1_xxreal_0(k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, B, A, C), k10_ami_3(1)), k5_numbers) => k5_memstr_0(k5_card_1(2), k1_ami_3, k5_extpro_1(k5_card_1(2), k1_ami_3, B, A, k1_nat_1(C, 1)))=4)  &  (k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, B, A, k1_nat_1(C, 1)), k10_ami_3(k5_numbers))=k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, B, A, C), k10_ami_3(k5_numbers)) & k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, B, A, k1_nat_1(C, 1)), k10_ami_3(1))=k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, B, A, C), k10_ami_3(1))) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_ami_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_ami_3)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(A, u1_struct_0(k1_ami_3))) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(k1_ami_3)) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) ) )  =>  (r1_tarski(k1_ami_4, B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (k5_memstr_0(k5_card_1(2), k1_ami_3, k5_extpro_1(k5_card_1(2), k1_ami_3, B, A, C))=4 => k5_extpro_1(k5_card_1(2), k1_ami_3, B, A, k2_xcmplx_0(C, D))=k5_extpro_1(k5_card_1(2), k1_ami_3, B, A, C)) ) ) ) ) ) ) ) ) ) ).
fof(t7_ami_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_ami_3)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(2), k1_ami_3)) &  (v1_partfun1(A, u1_struct_0(k1_ami_3)) & v5_memstr_0(A, k5_card_1(2), k1_ami_3, k5_numbers)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(k1_ami_3)) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) ) )  =>  (r1_tarski(k1_ami_4, B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  ( (k1_funct_1(A, k10_ami_3(k5_numbers))=C & k1_funct_1(A, k10_ami_3(1))=D)  =>  (r1_xxreal_0(C, k5_numbers) |  (r1_xxreal_0(D, k5_numbers) | k1_funct_1(k6_extpro_1(k5_card_1(2), k1_ami_3, B, A), k10_ami_3(k5_numbers))=k3_int_2(C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_ami_4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k11_memstr_0(k5_card_1(2), k1_ami_3), k11_memstr_0(k5_card_1(2), k1_ami_3)))))  =>  (A=k2_ami_4 <=>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(k1_ami_3)) &  (v1_funct_1(B) &  (v5_funct_1(B, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_finset_1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(k1_ami_3)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_finset_1(C)) ) ) )  =>  (r2_hidden(k4_tarski(B, C), A) <=>  (? [D] :  (v1_int_1(D) &  (? [E] :  (v1_int_1(E) &  ( ~ (r1_xxreal_0(D, k5_numbers))  &  ( ~ (r1_xxreal_0(E, k5_numbers))  &  (B=k12_ami_3(k10_ami_3(k5_numbers), k10_ami_3(1), D, E) & C=k11_ami_3(k10_ami_3(k5_numbers), k3_int_2(D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_ami_4, axiom,  (! [A] :  (r2_tarski(A, k9_xtuple_0(k2_ami_4)) <=>  (? [B] :  (v1_int_1(B) &  (? [C] :  (v1_int_1(C) &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  ( ~ (r1_xxreal_0(C, k5_numbers))  & A=k12_ami_3(k10_ami_3(k5_numbers), k10_ami_3(1), B, C)) ) ) ) ) ) ) ) ).
fof(t9_ami_4, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  ~ (k1_funct_1(k2_ami_4, k12_ami_3(k10_ami_3(k5_numbers), k10_ami_3(1), A, B))=k11_ami_3(k10_ami_3(k5_numbers), k3_int_2(A, B))) ) ) ) ) ) ) ) ).
fof(t10_ami_4, axiom, r2_extpro_1(k5_card_1(2), k1_ami_3, k1_ami_4, k7_memstr_0(k5_card_1(2), k1_ami_3, k5_numbers), k2_ami_4)).
fof(dt_k1_ami_4, axiom,  (v1_relat_1(k1_ami_4) &  (v4_relat_1(k1_ami_4, k4_ordinal1) &  (v5_relat_1(k1_ami_4, u1_compos_1(k1_ami_3)) &  (v1_funct_1(k1_ami_4) & v1_finset_1(k1_ami_4)) ) ) ) ).
fof(dt_k2_ami_4, axiom,  (v1_funct_1(k2_ami_4) & m1_subset_1(k2_ami_4, k1_zfmisc_1(k2_zfmisc_1(k11_memstr_0(k5_card_1(2), k1_ami_3), k11_memstr_0(k5_card_1(2), k1_ami_3))))) ).
fof(fc1_ami_5, axiom,  ~ (v1_finset_1(k8_struct_0(k1_ami_3))) ).
fof(fc2_ami_5, axiom,  (v1_extpro_1(k1_ami_3, k5_card_1(2)) & v3_amistd_5(k1_ami_3, k5_card_1(2))) ).
fof(fc3_ami_5, axiom,  (v1_extpro_1(k1_ami_3, k5_card_1(2)) & v4_amistd_5(k1_ami_3, k5_card_1(2))) ).
fof(t1_ami_5, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  =>  (? [B] :  (v7_ordinal1(B) & A=k10_ami_3(B)) ) ) ) ).
fof(t2_ami_5, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  =>  ~ (A=k4_struct_0(k1_ami_3)) ) ) ).
fof(t3_ami_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3)))  =>  ~ (A=B) ) ) ) ) ).
fof(t4_ami_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_ami_3)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(A, u1_struct_0(k1_ami_3))) ) ) )  =>  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3)))  => r2_tarski(B, k9_xtuple_0(A))) ) ) ) ).
fof(t5_ami_5, axiom,  (! [A] :  (m1_subset_1(A, u1_compos_1(k1_ami_3)) => r1_xxreal_0(k5_compos_0(u1_compos_1(k1_ami_3), A), 8)) ) ).
fof(t7_ami_5, axiom,  (! [A] :  (m1_subset_1(A, u1_compos_1(k1_ami_3)) =>  (k5_compos_0(u1_compos_1(k1_ami_3), A)=k5_numbers => A=k2_compos_1(k1_ami_3)) ) ) ).
fof(t8_ami_5, axiom,  (! [A] :  (m1_subset_1(A, u1_compos_1(k1_ami_3)) =>  ~ ( (k5_compos_0(u1_compos_1(k1_ami_3), A)=1 &  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3)))  =>  (! [C] :  ( (v1_ami_2(C) & m1_subset_1(C, u1_struct_0(k1_ami_3)))  =>  ~ (A=k2_ami_3(B, C)) ) ) ) ) ) ) ) ) ).
fof(t9_ami_5, axiom,  (! [A] :  (m1_subset_1(A, u1_compos_1(k1_ami_3)) =>  ~ ( (k5_compos_0(u1_compos_1(k1_ami_3), A)=2 &  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3)))  =>  (! [C] :  ( (v1_ami_2(C) & m1_subset_1(C, u1_struct_0(k1_ami_3)))  =>  ~ (A=k3_ami_3(B, C)) ) ) ) ) ) ) ) ) ).
fof(t10_ami_5, axiom,  (! [A] :  (m1_subset_1(A, u1_compos_1(k1_ami_3)) =>  ~ ( (k5_compos_0(u1_compos_1(k1_ami_3), A)=3 &  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3)))  =>  (! [C] :  ( (v1_ami_2(C) & m1_subset_1(C, u1_struct_0(k1_ami_3)))  =>  ~ (A=k4_ami_3(B, C)) ) ) ) ) ) ) ) ) ).
fof(t11_ami_5, axiom,  (! [A] :  (m1_subset_1(A, u1_compos_1(k1_ami_3)) =>  ~ ( (k5_compos_0(u1_compos_1(k1_ami_3), A)=4 &  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3)))  =>  (! [C] :  ( (v1_ami_2(C) & m1_subset_1(C, u1_struct_0(k1_ami_3)))  =>  ~ (A=k5_ami_3(B, C)) ) ) ) ) ) ) ) ) ).
fof(t12_ami_5, axiom,  (! [A] :  (m1_subset_1(A, u1_compos_1(k1_ami_3)) =>  ~ ( (k5_compos_0(u1_compos_1(k1_ami_3), A)=5 &  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3)))  =>  (! [C] :  ( (v1_ami_2(C) & m1_subset_1(C, u1_struct_0(k1_ami_3)))  =>  ~ (A=k6_ami_3(B, C)) ) ) ) ) ) ) ) ) ).
fof(t13_ami_5, axiom,  (! [A] :  (m1_subset_1(A, u1_compos_1(k1_ami_3)) =>  ~ ( (k5_compos_0(u1_compos_1(k1_ami_3), A)=6 &  (! [B] :  (v7_ordinal1(B) =>  ~ (A=k7_ami_3(B)) ) ) ) ) ) ) ).
fof(t14_ami_5, axiom,  (! [A] :  (m1_subset_1(A, u1_compos_1(k1_ami_3)) =>  ~ ( (k5_compos_0(u1_compos_1(k1_ami_3), A)=7 &  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_ami_2(C) & m1_subset_1(C, u1_struct_0(k1_ami_3)))  =>  ~ (A=k8_ami_3(B, C)) ) ) ) ) ) ) ) ) ).
fof(t15_ami_5, axiom,  (! [A] :  (m1_subset_1(A, u1_compos_1(k1_ami_3)) =>  ~ ( (k5_compos_0(u1_compos_1(k1_ami_3), A)=8 &  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_ami_2(C) & m1_subset_1(C, u1_struct_0(k1_ami_3)))  =>  ~ (A=k9_ami_3(B, C)) ) ) ) ) ) ) ) ) ).
fof(t16_ami_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_ami_3)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(A, u1_struct_0(k1_ami_3))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_ami_2(C) & m1_subset_1(C, u1_struct_0(k1_ami_3)))  => k1_funct_1(A, C)=k1_funct_1(k1_funct_4(A, k7_memstr_0(k5_card_1(2), k1_ami_3, B)), C)) ) ) ) ) ) ).
fof(t17_ami_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_ami_3)) &  (v1_funct_1(A) &  (v1_finset_1(A) &  ~ (v2_compos_1(A, k1_ami_3)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(k1_ami_3)) &  (v1_funct_1(B) &  (v5_funct_1(B, k2_memstr_0(k5_card_1(2), k1_ami_3)) &  (v1_finset_1(B) & v4_extpro_1(B, k5_card_1(2), k1_ami_3, A)) ) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(k1_ami_3)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(C, u1_struct_0(k1_ami_3))) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(k1_ami_3)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(D, u1_struct_0(k1_ami_3))) ) ) )  =>  ( (r1_tarski(B, C) & r1_tarski(B, D))  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v5_relat_1(E, u1_compos_1(k1_ami_3)) &  (v1_funct_1(E) & v1_partfun1(E, k4_ordinal1)) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, k4_ordinal1) &  (v5_relat_1(F, u1_compos_1(k1_ami_3)) &  (v1_funct_1(F) & v1_partfun1(F, k4_ordinal1)) ) ) )  =>  ( (r1_tarski(A, E) & r1_tarski(A, F))  =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  ( (v1_ami_2(H) & m1_subset_1(H, u1_struct_0(k1_ami_3)))  =>  (! [I] :  ( (v1_ami_2(I) & m1_subset_1(I, u1_struct_0(k1_ami_3)))  =>  (! [J] :  (m1_subset_1(J, u1_compos_1(k1_ami_3)) =>  ( (J=k3_extpro_1(k5_card_1(2), k1_ami_3, E, k5_extpro_1(k5_card_1(2), k1_ami_3, E, C, G)) &  (J=k2_ami_3(H, I) & r2_tarski(H, k9_xtuple_0(B))) )  => k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, E, C, G), I)=k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, F, D, G), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_ami_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_ami_3)) &  (v1_funct_1(A) &  (v1_finset_1(A) &  ~ (v2_compos_1(A, k1_ami_3)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(k1_ami_3)) &  (v1_funct_1(B) &  (v5_funct_1(B, k2_memstr_0(k5_card_1(2), k1_ami_3)) &  (v1_finset_1(B) & v4_extpro_1(B, k5_card_1(2), k1_ami_3, A)) ) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(k1_ami_3)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(C, u1_struct_0(k1_ami_3))) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(k1_ami_3)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(D, u1_struct_0(k1_ami_3))) ) ) )  =>  ( (r1_tarski(B, C) & r1_tarski(B, D))  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v5_relat_1(E, u1_compos_1(k1_ami_3)) &  (v1_funct_1(E) & v1_partfun1(E, k4_ordinal1)) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, k4_ordinal1) &  (v5_relat_1(F, u1_compos_1(k1_ami_3)) &  (v1_funct_1(F) & v1_partfun1(F, k4_ordinal1)) ) ) )  =>  ( (r1_tarski(A, E) & r1_tarski(A, F))  =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  ( (v1_ami_2(H) & m1_subset_1(H, u1_struct_0(k1_ami_3)))  =>  (! [I] :  ( (v1_ami_2(I) & m1_subset_1(I, u1_struct_0(k1_ami_3)))  =>  (! [J] :  (m1_subset_1(J, u1_compos_1(k1_ami_3)) =>  ( (J=k3_extpro_1(k5_card_1(2), k1_ami_3, E, k5_extpro_1(k5_card_1(2), k1_ami_3, E, C, G)) &  (J=k3_ami_3(H, I) & r2_tarski(H, k9_xtuple_0(B))) )  => k2_xcmplx_0(k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, E, C, G), H), k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, E, C, G), I))=k2_xcmplx_0(k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, F, D, G), H), k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, F, D, G), I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_ami_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_ami_3)) &  (v1_funct_1(A) &  (v1_finset_1(A) &  ~ (v2_compos_1(A, k1_ami_3)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(k1_ami_3)) &  (v1_funct_1(B) &  (v5_funct_1(B, k2_memstr_0(k5_card_1(2), k1_ami_3)) &  (v1_finset_1(B) & v4_extpro_1(B, k5_card_1(2), k1_ami_3, A)) ) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(k1_ami_3)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(C, u1_struct_0(k1_ami_3))) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(k1_ami_3)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(D, u1_struct_0(k1_ami_3))) ) ) )  =>  ( (r1_tarski(B, C) & r1_tarski(B, D))  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v5_relat_1(E, u1_compos_1(k1_ami_3)) &  (v1_funct_1(E) & v1_partfun1(E, k4_ordinal1)) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, k4_ordinal1) &  (v5_relat_1(F, u1_compos_1(k1_ami_3)) &  (v1_funct_1(F) & v1_partfun1(F, k4_ordinal1)) ) ) )  =>  ( (r1_tarski(A, E) & r1_tarski(A, F))  =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  ( (v1_ami_2(H) & m1_subset_1(H, u1_struct_0(k1_ami_3)))  =>  (! [I] :  ( (v1_ami_2(I) & m1_subset_1(I, u1_struct_0(k1_ami_3)))  =>  (! [J] :  (m1_subset_1(J, u1_compos_1(k1_ami_3)) =>  ( (J=k3_extpro_1(k5_card_1(2), k1_ami_3, E, k5_extpro_1(k5_card_1(2), k1_ami_3, E, C, G)) &  (J=k4_ami_3(H, I) & r2_tarski(H, k9_xtuple_0(B))) )  => k6_xcmplx_0(k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, E, C, G), H), k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, E, C, G), I))=k6_xcmplx_0(k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, F, D, G), H), k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, F, D, G), I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_ami_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_ami_3)) &  (v1_funct_1(A) &  (v1_finset_1(A) &  ~ (v2_compos_1(A, k1_ami_3)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(k1_ami_3)) &  (v1_funct_1(B) &  (v5_funct_1(B, k2_memstr_0(k5_card_1(2), k1_ami_3)) &  (v1_finset_1(B) & v4_extpro_1(B, k5_card_1(2), k1_ami_3, A)) ) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(k1_ami_3)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(C, u1_struct_0(k1_ami_3))) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(k1_ami_3)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(D, u1_struct_0(k1_ami_3))) ) ) )  =>  ( (r1_tarski(B, C) & r1_tarski(B, D))  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v5_relat_1(E, u1_compos_1(k1_ami_3)) &  (v1_funct_1(E) & v1_partfun1(E, k4_ordinal1)) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, k4_ordinal1) &  (v5_relat_1(F, u1_compos_1(k1_ami_3)) &  (v1_funct_1(F) & v1_partfun1(F, k4_ordinal1)) ) ) )  =>  ( (r1_tarski(A, E) & r1_tarski(A, F))  =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  ( (v1_ami_2(H) & m1_subset_1(H, u1_struct_0(k1_ami_3)))  =>  (! [I] :  ( (v1_ami_2(I) & m1_subset_1(I, u1_struct_0(k1_ami_3)))  =>  (! [J] :  (m1_subset_1(J, u1_compos_1(k1_ami_3)) =>  ( (J=k3_extpro_1(k5_card_1(2), k1_ami_3, E, k5_extpro_1(k5_card_1(2), k1_ami_3, E, C, G)) &  (J=k5_ami_3(H, I) & r2_tarski(H, k9_xtuple_0(B))) )  => k3_xcmplx_0(k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, E, C, G), H), k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, E, C, G), I))=k3_xcmplx_0(k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, F, D, G), H), k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, F, D, G), I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_ami_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_ami_3)) &  (v1_funct_1(A) &  (v1_finset_1(A) &  ~ (v2_compos_1(A, k1_ami_3)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(k1_ami_3)) &  (v1_funct_1(B) &  (v5_funct_1(B, k2_memstr_0(k5_card_1(2), k1_ami_3)) &  (v1_finset_1(B) & v4_extpro_1(B, k5_card_1(2), k1_ami_3, A)) ) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(k1_ami_3)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(C, u1_struct_0(k1_ami_3))) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(k1_ami_3)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(D, u1_struct_0(k1_ami_3))) ) ) )  =>  ( (r1_tarski(B, C) & r1_tarski(B, D))  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v5_relat_1(E, u1_compos_1(k1_ami_3)) &  (v1_funct_1(E) & v1_partfun1(E, k4_ordinal1)) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, k4_ordinal1) &  (v5_relat_1(F, u1_compos_1(k1_ami_3)) &  (v1_funct_1(F) & v1_partfun1(F, k4_ordinal1)) ) ) )  =>  ( (r1_tarski(A, E) & r1_tarski(A, F))  =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  ( (v1_ami_2(H) & m1_subset_1(H, u1_struct_0(k1_ami_3)))  =>  (! [I] :  ( (v1_ami_2(I) & m1_subset_1(I, u1_struct_0(k1_ami_3)))  =>  (! [J] :  (m1_subset_1(J, u1_compos_1(k1_ami_3)) =>  ( (J=k3_extpro_1(k5_card_1(2), k1_ami_3, E, k5_extpro_1(k5_card_1(2), k1_ami_3, E, C, G)) &  (J=k6_ami_3(H, I) & r2_tarski(H, k9_xtuple_0(B))) )  =>  (H=I | k4_int_1(k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, E, C, G), H), k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, E, C, G), I))=k4_int_1(k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, F, D, G), H), k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, F, D, G), I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_ami_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_ami_3)) &  (v1_funct_1(A) &  (v1_finset_1(A) &  ~ (v2_compos_1(A, k1_ami_3)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(k1_ami_3)) &  (v1_funct_1(B) &  (v5_funct_1(B, k2_memstr_0(k5_card_1(2), k1_ami_3)) &  (v1_finset_1(B) & v4_extpro_1(B, k5_card_1(2), k1_ami_3, A)) ) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(k1_ami_3)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(C, u1_struct_0(k1_ami_3))) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(k1_ami_3)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(D, u1_struct_0(k1_ami_3))) ) ) )  =>  ( (r1_tarski(B, C) & r1_tarski(B, D))  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v5_relat_1(E, u1_compos_1(k1_ami_3)) &  (v1_funct_1(E) & v1_partfun1(E, k4_ordinal1)) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, k4_ordinal1) &  (v5_relat_1(F, u1_compos_1(k1_ami_3)) &  (v1_funct_1(F) & v1_partfun1(F, k4_ordinal1)) ) ) )  =>  ( (r1_tarski(A, E) & r1_tarski(A, F))  =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  ( (v1_ami_2(H) & m1_subset_1(H, u1_struct_0(k1_ami_3)))  =>  (! [I] :  ( (v1_ami_2(I) & m1_subset_1(I, u1_struct_0(k1_ami_3)))  =>  (! [J] :  (m1_subset_1(J, u1_compos_1(k1_ami_3)) =>  ( (J=k3_extpro_1(k5_card_1(2), k1_ami_3, E, k5_extpro_1(k5_card_1(2), k1_ami_3, E, C, G)) &  (J=k6_ami_3(H, I) & r2_tarski(I, k9_xtuple_0(B))) )  => k5_int_1(k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, E, C, G), H), k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, E, C, G), I))=k5_int_1(k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, F, D, G), H), k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, F, D, G), I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_ami_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_ami_3)) &  (v1_funct_1(A) &  (v1_finset_1(A) &  ~ (v2_compos_1(A, k1_ami_3)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(k1_ami_3)) &  (v1_funct_1(B) &  (v5_funct_1(B, k2_memstr_0(k5_card_1(2), k1_ami_3)) &  (v1_finset_1(B) & v4_extpro_1(B, k5_card_1(2), k1_ami_3, A)) ) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(k1_ami_3)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(C, u1_struct_0(k1_ami_3))) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(k1_ami_3)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(D, u1_struct_0(k1_ami_3))) ) ) )  =>  ( (r1_tarski(B, C) & r1_tarski(B, D))  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v5_relat_1(E, u1_compos_1(k1_ami_3)) &  (v1_funct_1(E) & v1_partfun1(E, k4_ordinal1)) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, k4_ordinal1) &  (v5_relat_1(F, u1_compos_1(k1_ami_3)) &  (v1_funct_1(F) & v1_partfun1(F, k4_ordinal1)) ) ) )  =>  ( (r1_tarski(A, E) & r1_tarski(A, F))  =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  ( (v1_ami_2(H) & m1_subset_1(H, u1_struct_0(k1_ami_3)))  =>  (! [I] :  (v7_ordinal1(I) =>  (! [J] :  (m1_subset_1(J, u1_compos_1(k1_ami_3)) =>  ( (J=k3_extpro_1(k5_card_1(2), k1_ami_3, E, k5_extpro_1(k5_card_1(2), k1_ami_3, E, C, G)) & J=k8_ami_3(I, H))  =>  (I=k1_nat_1(k5_memstr_0(k5_card_1(2), k1_ami_3, k5_extpro_1(k5_card_1(2), k1_ami_3, E, C, G)), 1) |  (k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, E, C, G), H)=k5_numbers <=> k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, F, D, G), H)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_ami_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_ami_3)) &  (v1_funct_1(A) &  (v1_finset_1(A) &  ~ (v2_compos_1(A, k1_ami_3)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(k1_ami_3)) &  (v1_funct_1(B) &  (v5_funct_1(B, k2_memstr_0(k5_card_1(2), k1_ami_3)) &  (v1_finset_1(B) & v4_extpro_1(B, k5_card_1(2), k1_ami_3, A)) ) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(k1_ami_3)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(C, u1_struct_0(k1_ami_3))) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(k1_ami_3)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(D, u1_struct_0(k1_ami_3))) ) ) )  =>  ( (r1_tarski(B, C) & r1_tarski(B, D))  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v5_relat_1(E, u1_compos_1(k1_ami_3)) &  (v1_funct_1(E) & v1_partfun1(E, k4_ordinal1)) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, k4_ordinal1) &  (v5_relat_1(F, u1_compos_1(k1_ami_3)) &  (v1_funct_1(F) & v1_partfun1(F, k4_ordinal1)) ) ) )  =>  ( (r1_tarski(A, E) & r1_tarski(A, F))  =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  ( (v1_ami_2(H) & m1_subset_1(H, u1_struct_0(k1_ami_3)))  =>  (! [I] :  (v7_ordinal1(I) =>  (! [J] :  (m1_subset_1(J, u1_compos_1(k1_ami_3)) =>  ( (J=k3_extpro_1(k5_card_1(2), k1_ami_3, E, k5_extpro_1(k5_card_1(2), k1_ami_3, E, C, G)) & J=k9_ami_3(I, H))  =>  (I=k1_nat_1(k5_memstr_0(k5_card_1(2), k1_ami_3, k5_extpro_1(k5_card_1(2), k1_ami_3, E, C, G)), 1) |  ( ~ ( ( ~ (r1_xxreal_0(k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, E, C, G), H), k5_numbers))  & r1_xxreal_0(k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, F, D, G), H), k5_numbers)) )  &  ~ ( ( ~ (r1_xxreal_0(k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, F, D, G), H), k5_numbers))  & r1_xxreal_0(k1_funct_1(k5_extpro_1(k5_card_1(2), k1_ami_3, E, C, G), H), k5_numbers)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_ami_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_ami_3)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(A, u1_struct_0(k1_ami_3))) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(k1_ami_3)) &  (v1_funct_1(B) &  (v5_funct_1(B, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(B, u1_struct_0(k1_ami_3))) ) ) )  =>  ( (k5_memstr_0(k5_card_1(2), k1_ami_3, A)=k5_memstr_0(k5_card_1(2), k1_ami_3, B) &  (! [C] :  ( (v1_ami_2(C) & m1_subset_1(C, u1_struct_0(k1_ami_3)))  => k1_funct_1(A, C)=k1_funct_1(B, C)) ) )  => A=B) ) ) ) ) ).
fof(fc1_ami_6, axiom, v1_xboole_0(k2_amistd_1(k5_card_1(2), k1_ami_3, k2_compos_1(k1_ami_3)))).
fof(fc2_ami_6, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3))) )  => v4_amistd_1(k2_ami_3(A, B), k5_card_1(2), k1_ami_3)) ) ).
fof(fc3_ami_6, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3))) )  => v4_amistd_1(k3_ami_3(A, B), k5_card_1(2), k1_ami_3)) ) ).
fof(fc4_ami_6, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3))) )  => v4_amistd_1(k4_ami_3(A, B), k5_card_1(2), k1_ami_3)) ) ).
fof(fc5_ami_6, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3))) )  => v4_amistd_1(k5_ami_3(A, B), k5_card_1(2), k1_ami_3)) ) ).
fof(fc6_ami_6, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3))) )  => v4_amistd_1(k6_ami_3(A, B), k5_card_1(2), k1_ami_3)) ) ).
fof(fc7_ami_6, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3))) )  => v1_xboole_0(k2_amistd_1(k5_card_1(2), k1_ami_3, k2_ami_3(A, B)))) ) ).
fof(fc8_ami_6, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3))) )  => v1_xboole_0(k2_amistd_1(k5_card_1(2), k1_ami_3, k3_ami_3(A, B)))) ) ).
fof(fc9_ami_6, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3))) )  => v1_xboole_0(k2_amistd_1(k5_card_1(2), k1_ami_3, k4_ami_3(A, B)))) ) ).
fof(fc10_ami_6, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3))) )  => v1_xboole_0(k2_amistd_1(k5_card_1(2), k1_ami_3, k5_ami_3(A, B)))) ) ).
fof(fc11_ami_6, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3))) )  => v1_xboole_0(k2_amistd_1(k5_card_1(2), k1_ami_3, k6_ami_3(A, B)))) ) ).
fof(fc12_ami_6, axiom,  (! [A] :  (v7_ordinal1(A) => v3_card_1(k2_amistd_1(k5_card_1(2), k1_ami_3, k7_ami_3(A)), 1)) ) ).
fof(fc13_ami_6, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  & v7_ordinal1(B))  => v3_card_1(k2_amistd_1(k5_card_1(2), k1_ami_3, k8_ami_3(B, A)), 1)) ) ).
fof(fc14_ami_6, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  & v7_ordinal1(B))  => v3_card_1(k2_amistd_1(k5_card_1(2), k1_ami_3, k9_ami_3(B, A)), 1)) ) ).
fof(fc15_ami_6, axiom,  (v1_extpro_1(k1_ami_3, k5_card_1(2)) & v3_amistd_1(k1_ami_3, k5_card_1(2))) ).
fof(fc16_ami_6, axiom, v1_amistd_1(k4_xtuple_0(k2_compos_1(k1_ami_3)), k5_card_1(2), k1_ami_3)).
fof(fc17_ami_6, axiom, v2_amistd_1(k2_compos_1(k1_ami_3), k5_card_1(2), k1_ami_3)).
fof(fc18_ami_6, axiom,  (! [A] :  (v7_ordinal1(A) => v1_amistd_1(k4_xtuple_0(k7_ami_3(A)), k5_card_1(2), k1_ami_3)) ) ).
fof(fc19_ami_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (v4_compos_0(k7_ami_3(A), u1_compos_1(k1_ami_3)))  &  (v2_amistd_1(k7_ami_3(A), k5_card_1(2), k1_ami_3) &  ~ (v4_amistd_1(k7_ami_3(A), k5_card_1(2), k1_ami_3)) ) ) ) ) ).
fof(fc20_ami_6, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  & v7_ordinal1(B))  => v1_amistd_1(k4_xtuple_0(k8_ami_3(B, A)), k5_card_1(2), k1_ami_3)) ) ).
fof(fc21_ami_6, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  & v7_ordinal1(B))  => v1_amistd_1(k4_xtuple_0(k9_ami_3(B, A)), k5_card_1(2), k1_ami_3)) ) ).
fof(fc22_ami_6, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  & v7_ordinal1(B))  =>  ( ~ (v4_compos_0(k8_ami_3(B, A), u1_compos_1(k1_ami_3)))  &  (v2_amistd_1(k8_ami_3(B, A), k5_card_1(2), k1_ami_3) &  ~ (v4_amistd_1(k8_ami_3(B, A), k5_card_1(2), k1_ami_3)) ) ) ) ) ).
fof(fc23_ami_6, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  & v7_ordinal1(B))  =>  ( ~ (v4_compos_0(k9_ami_3(B, A), u1_compos_1(k1_ami_3)))  &  (v2_amistd_1(k9_ami_3(B, A), k5_card_1(2), k1_ami_3) &  ~ (v4_amistd_1(k9_ami_3(B, A), k5_card_1(2), k1_ami_3)) ) ) ) ) ).
fof(fc24_ami_6, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3))) )  =>  ~ (v1_amistd_1(k4_xtuple_0(k2_ami_3(A, B)), k5_card_1(2), k1_ami_3)) ) ) ).
fof(fc25_ami_6, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3))) )  =>  ~ (v1_amistd_1(k4_xtuple_0(k3_ami_3(A, B)), k5_card_1(2), k1_ami_3)) ) ) ).
fof(fc26_ami_6, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3))) )  =>  ~ (v1_amistd_1(k4_xtuple_0(k4_ami_3(A, B)), k5_card_1(2), k1_ami_3)) ) ) ).
fof(fc27_ami_6, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3))) )  =>  ~ (v1_amistd_1(k4_xtuple_0(k5_ami_3(A, B)), k5_card_1(2), k1_ami_3)) ) ) ).
fof(fc28_ami_6, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3))) )  =>  ~ (v1_amistd_1(k4_xtuple_0(k6_ami_3(A, B)), k5_card_1(2), k1_ami_3)) ) ) ).
fof(fc29_ami_6, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3))) )  =>  ~ (v2_amistd_1(k2_ami_3(A, B), k5_card_1(2), k1_ami_3)) ) ) ).
fof(fc30_ami_6, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3))) )  =>  ~ (v2_amistd_1(k3_ami_3(A, B), k5_card_1(2), k1_ami_3)) ) ) ).
fof(fc31_ami_6, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3))) )  =>  ~ (v2_amistd_1(k4_ami_3(A, B), k5_card_1(2), k1_ami_3)) ) ) ).
fof(fc32_ami_6, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3))) )  =>  ~ (v2_amistd_1(k5_ami_3(A, B), k5_card_1(2), k1_ami_3)) ) ) ).
fof(fc33_ami_6, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3))) )  =>  ~ (v2_amistd_1(k6_ami_3(A, B), k5_card_1(2), k1_ami_3)) ) ) ).
fof(fc34_ami_6, axiom,  (v1_extpro_1(k1_ami_3, k5_card_1(2)) & v2_amistd_2(k1_ami_3, k5_card_1(2))) ).
fof(fc35_ami_6, axiom,  (v1_extpro_1(k1_ami_3, k5_card_1(2)) & v4_amistd_2(k1_ami_3, k5_card_1(2))) ).
fof(t1_ami_6, axiom,  (! [A] :  (m1_subset_1(A, k4_compos_0(u1_compos_1(k1_ami_3))) =>  ~ ( (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(k5_numbers, B) &  (r1_xxreal_0(B, 8) & A=B) ) ) ) ) ) ) ) ).
fof(t2_ami_6, axiom, k2_compos_0(k2_compos_1(k1_ami_3))=k1_xboole_0).
fof(t3_ami_6, axiom,  (! [A] :  (m1_subset_1(A, k4_compos_0(u1_compos_1(k1_ami_3))) =>  (A=k5_numbers => k6_compos_0(u1_compos_1(k1_ami_3), A)=k1_tarski(k5_numbers)) ) ) ).
fof(t4_ami_6, axiom,  (! [A] :  (m1_subset_1(A, k4_compos_0(u1_compos_1(k1_ami_3))) =>  (A=1 => k6_compos_0(u1_compos_1(k1_ami_3), A)=k1_tarski(k1_xboole_0)) ) ) ).
fof(t5_ami_6, axiom,  (! [A] :  (m1_subset_1(A, k4_compos_0(u1_compos_1(k1_ami_3))) =>  (A=2 => k6_compos_0(u1_compos_1(k1_ami_3), A)=k1_tarski(k1_xboole_0)) ) ) ).
fof(t6_ami_6, axiom,  (! [A] :  (m1_subset_1(A, k4_compos_0(u1_compos_1(k1_ami_3))) =>  (A=3 => k6_compos_0(u1_compos_1(k1_ami_3), A)=k1_tarski(k1_xboole_0)) ) ) ).
fof(t7_ami_6, axiom,  (! [A] :  (m1_subset_1(A, k4_compos_0(u1_compos_1(k1_ami_3))) =>  (A=4 => k6_compos_0(u1_compos_1(k1_ami_3), A)=k1_tarski(k1_xboole_0)) ) ) ).
fof(t8_ami_6, axiom,  (! [A] :  (m1_subset_1(A, k4_compos_0(u1_compos_1(k1_ami_3))) =>  (A=5 => k6_compos_0(u1_compos_1(k1_ami_3), A)=k1_tarski(k1_xboole_0)) ) ) ).
fof(t9_ami_6, axiom,  (! [A] :  (m1_subset_1(A, k4_compos_0(u1_compos_1(k1_ami_3))) =>  (A=6 => k9_xtuple_0(k10_card_3(k6_compos_0(u1_compos_1(k1_ami_3), A)))=k1_tarski(1)) ) ) ).
fof(t10_ami_6, axiom,  (! [A] :  (m1_subset_1(A, k4_compos_0(u1_compos_1(k1_ami_3))) =>  (A=7 => k9_xtuple_0(k10_card_3(k6_compos_0(u1_compos_1(k1_ami_3), A)))=k1_tarski(1)) ) ) ).
fof(t11_ami_6, axiom,  (! [A] :  (m1_subset_1(A, k4_compos_0(u1_compos_1(k1_ami_3))) =>  (A=8 => k9_xtuple_0(k10_card_3(k6_compos_0(u1_compos_1(k1_ami_3), A)))=k1_tarski(1)) ) ) ).
fof(t12_ami_6, axiom,  (! [A] :  (v7_ordinal1(A) => k1_funct_1(k10_card_3(k6_compos_0(u1_compos_1(k1_ami_3), k5_compos_0(u1_compos_1(k1_ami_3), k7_ami_3(A)))), 1)=k4_ordinal1) ) ).
fof(t13_ami_6, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  =>  (! [B] :  (v7_ordinal1(B) => k1_funct_1(k10_card_3(k6_compos_0(u1_compos_1(k1_ami_3), k5_compos_0(u1_compos_1(k1_ami_3), k8_ami_3(B, A)))), 1)=k4_ordinal1) ) ) ) ).
fof(t14_ami_6, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  =>  (! [B] :  (v7_ordinal1(B) => k1_funct_1(k10_card_3(k6_compos_0(u1_compos_1(k1_ami_3), k5_compos_0(u1_compos_1(k1_ami_3), k9_ami_3(B, A)))), 1)=k4_ordinal1) ) ) ) ).
fof(t15_ami_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k1_amistd_1(k5_card_1(2), k1_ami_3, A, k7_ami_3(B))=k1_tarski(B)) ) ) ) ).
fof(t16_ami_6, axiom,  (! [A] :  (v7_ordinal1(A) => k2_amistd_1(k5_card_1(2), k1_ami_3, k7_ami_3(A))=k1_tarski(A)) ) ).
fof(t17_ami_6, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k1_amistd_1(k5_card_1(2), k1_ami_3, B, k8_ami_3(C, A))=k2_tarski(C, k2_xcmplx_0(B, 1))) ) ) ) ) ) ).
fof(t18_ami_6, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  =>  (! [B] :  (v7_ordinal1(B) => k2_amistd_1(k5_card_1(2), k1_ami_3, k8_ami_3(B, A))=k1_tarski(B)) ) ) ) ).
fof(t19_ami_6, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k1_amistd_1(k5_card_1(2), k1_ami_3, B, k9_ami_3(C, A))=k2_tarski(C, k2_xcmplx_0(B, 1))) ) ) ) ) ) ).
fof(t20_ami_6, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  =>  (! [B] :  (v7_ordinal1(B) => k2_amistd_1(k5_card_1(2), k1_ami_3, k9_ami_3(B, A))=k1_tarski(B)) ) ) ) ).
fof(t21_ami_6, axiom,  (! [A] :  (v7_ordinal1(A) => k3_amistd_1(k5_card_1(2), k1_ami_3, A)=k2_tarski(A, k2_xcmplx_0(A, 1))) ) ).
fof(t22_ami_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r2_tarski(k2_xcmplx_0(A, 1), k3_amistd_1(k5_card_1(2), k1_ami_3, A)) &  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k3_amistd_1(k5_card_1(2), k1_ami_3, A)) => r1_xxreal_0(A, B)) ) ) ) ) ) ).
fof(t23_ami_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k8_compos_0(u1_compos_1(k1_ami_3), k7_ami_3(A), B)=k7_ami_3(k2_xcmplx_0(A, B))) ) ) ) ).
fof(t24_ami_6, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k8_compos_0(u1_compos_1(k1_ami_3), k8_ami_3(B, A), C)=k8_ami_3(k2_xcmplx_0(B, C), A)) ) ) ) ) ) ).
fof(t25_ami_6, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k8_compos_0(u1_compos_1(k1_ami_3), k9_ami_3(B, A), C)=k9_ami_3(k2_xcmplx_0(B, C), A)) ) ) ) ) ) ).
fof(fc1_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (v1_extpro_1(k4_amistd_1(A), A) & v2_ami_wstd(k4_amistd_1(A), A)) ) ) ).
fof(rc1_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & v2_ami_wstd(B, A)) ) ) ) ) ) ) ) ).
fof(cc1_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (l1_extpro_1(B, A) =>  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & v2_ami_wstd(B, A)) ) )  =>  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & v1_ami_wstd(B, A)) ) ) ) ) ) ) ) ).
fof(cc2_ami_wstd, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (v3_ami_wstd(C, A, B) =>  ~ (v2_extpro_1(C, A, B)) ) ) ) ) ) ).
fof(cc3_ami_wstd, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (v2_extpro_1(C, A, B) =>  ~ (v3_ami_wstd(C, A, B)) ) ) ) ) ) ).
fof(cc4_ami_wstd, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_xboole_0(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) )  =>  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) &  (v1_finset_1(C) & v5_ami_wstd(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(rc2_ami_wstd, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) ) )  =>  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v3_card_1(C, 1) &  (v4_card_3(C) &  (v2_pre_poly(C) & v5_ami_wstd(C, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(cc5_ami_wstd, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v5_amistd_1(C, A, B) & v5_ami_wstd(C, A, B)) ) ) ) ) ) )  =>  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) &  (v1_finset_1(C) & v4_ami_wstd(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(rc3_ami_wstd, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) ) ) )  =>  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  ( ~ (v1_xboole_0(C))  &  (v1_zfmisc_1(C) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v4_card_3(C) &  (v2_pre_poly(C) &  (v5_ami_wstd(C, A, B) &  (v6_ami_wstd(C, A, B) & v7_ami_wstd(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc4_ami_wstd, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) ) ) )  =>  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  ( ~ (v1_xboole_0(C))  &  (v1_zfmisc_1(C) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v4_card_3(C) &  (v2_pre_poly(C) &  (v5_amistd_1(C, A, B) & v5_ami_wstd(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc5_ami_wstd, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) ) ) )  =>  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  ( ~ (v1_xboole_0(C))  &  (v1_zfmisc_1(C) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v4_card_3(C) &  (v2_pre_poly(C) &  (v5_amistd_1(C, A, B) &  (v5_ami_wstd(C, A, B) &  (v6_ami_wstd(C, A, B) & v7_ami_wstd(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc6_ami_wstd, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) ) ) )  =>  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v4_card_3(C) &  (v2_pre_poly(C) &  (v5_amistd_1(C, A, B) &  (v5_ami_wstd(C, A, B) &  (v6_ami_wstd(C, A, B) & v7_ami_wstd(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_ami_wstd(A, B, C, D) <=>  (? [E] :  ( ( ~ (v1_xboole_0(E))  & m2_finseq_1(E, k4_ordinal1))  &  (k7_partfun1(k4_ordinal1, E, 1)=C &  (k7_partfun1(k4_ordinal1, E, k3_finseq_1(E))=D &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r1_xxreal_0(1, F) =>  (r1_xxreal_0(k3_finseq_1(E), F) | r2_tarski(k7_partfun1(k4_ordinal1, E, k1_nat_1(F, 1)), k3_amistd_1(A, B, k7_partfun1(k4_ordinal1, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_ami_wstd, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ~ (v1_setfam_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_memstr_0(C, B) &  (v3_memstr_0(C, B) & l1_extpro_1(C, B)) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_ami_wstd(B, C, D, E) & r1_ami_wstd(B, C, E, A))  => r1_ami_wstd(B, C, D, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (v1_ami_wstd(B, A) <=>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (r1_ami_wstd(A, B, C, D) & r1_ami_wstd(A, B, D, C))  => C=D) ) ) ) ) ) ) ) ) ) ).
fof(d3_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (v2_ami_wstd(B, A) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  &  (v3_funct_2(C, k4_ordinal1, k4_ordinal1) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r1_xxreal_0(D, E) <=> r1_ami_wstd(A, B, k3_funct_2(k4_ordinal1, k4_ordinal1, C, D), k3_funct_2(k4_ordinal1, k4_ordinal1, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_ordinal1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  =>  ( (v3_funct_2(C, k4_ordinal1, k4_ordinal1) &  ( (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r1_xxreal_0(E, F) <=> r1_ami_wstd(A, B, k3_funct_2(k4_ordinal1, k4_ordinal1, C, E), k3_funct_2(k4_ordinal1, k4_ordinal1, C, F))) ) ) ) )  &  (v3_funct_2(D, k4_ordinal1, k4_ordinal1) &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r1_xxreal_0(E, F) <=> r1_ami_wstd(A, B, k3_funct_2(k4_ordinal1, k4_ordinal1, D, E), k3_funct_2(k4_ordinal1, k4_ordinal1, D, F))) ) ) ) ) ) ) )  => r2_funct_2(k4_ordinal1, k4_ordinal1, C, D)) ) ) ) ) ) ) ) ) ).
fof(t3_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  =>  (v3_funct_2(C, k4_ordinal1, k4_ordinal1) =>  ( (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r1_xxreal_0(D, E) <=> r1_ami_wstd(A, B, k3_funct_2(k4_ordinal1, k4_ordinal1, C, D), k3_funct_2(k4_ordinal1, k4_ordinal1, C, E))) ) ) ) )  <=>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r2_tarski(k3_funct_2(k4_ordinal1, k4_ordinal1, C, k1_nat_1(D, 1)), k3_amistd_1(A, B, k3_funct_2(k4_ordinal1, k4_ordinal1, C, D))) &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r2_tarski(k3_funct_2(k4_ordinal1, k4_ordinal1, C, E), k3_amistd_1(A, B, k3_funct_2(k4_ordinal1, k4_ordinal1, C, D))) => r1_xxreal_0(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (v2_ami_wstd(B, A) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  &  (v3_funct_2(C, k4_ordinal1, k4_ordinal1) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r2_tarski(k3_funct_2(k4_ordinal1, k4_ordinal1, C, k1_nat_1(D, 1)), k3_amistd_1(A, B, k3_funct_2(k4_ordinal1, k4_ordinal1, C, D))) &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r2_tarski(k3_funct_2(k4_ordinal1, k4_ordinal1, C, E), k3_amistd_1(A, B, k3_funct_2(k4_ordinal1, k4_ordinal1, C, D))) => r1_xxreal_0(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (D=k1_ami_wstd(A, B, C) <=>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k4_ordinal1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  &  (v3_funct_2(E, k4_ordinal1, k4_ordinal1) &  ( (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  (r1_xxreal_0(F, G) <=> r1_ami_wstd(A, B, k3_funct_2(k4_ordinal1, k4_ordinal1, E, F), k3_funct_2(k4_ordinal1, k4_ordinal1, E, G))) ) ) ) )  & D=k1_funct_1(E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (k1_ami_wstd(A, B, C)=k1_ami_wstd(A, B, D) => C=D) ) ) ) ) ) ) ) ) ).
fof(t6_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (? [D] :  (v7_ordinal1(D) & C=k1_ami_wstd(A, B, D)) ) ) ) ) ) ) ) ).
fof(d5_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (D=k2_ami_wstd(A, B, C) <=> k1_ami_wstd(A, B, D)=C) ) ) ) ) ) ) ) ) ).
fof(t7_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (k3_ami_wstd(A, B, C)=k3_ami_wstd(A, B, D) => C=D) ) ) ) ) ) ) ) ) ).
fof(t8_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_ami_wstd(A, B, k1_ami_wstd(A, B, C), k1_ami_wstd(A, B, D)) <=> r1_xxreal_0(C, D)) ) ) ) ) ) ) ) ) ).
fof(t9_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r1_xxreal_0(k3_ami_wstd(A, B, C), k3_ami_wstd(A, B, D)) <=> r1_ami_wstd(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t10_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) )  => v1_ami_wstd(B, A)) ) ) ) ).
fof(d6_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (v7_ordinal1(D) => k4_ami_wstd(A, B, C, D)=k1_ami_wstd(A, B, k2_xcmplx_0(k3_ami_wstd(A, B, C), D))) ) ) ) ) ) ) ) ).
fof(t11_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => k4_ami_wstd(A, B, C, k5_numbers)=C) ) ) ) ) ) ).
fof(t12_ami_wstd, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_setfam_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_memstr_0(C, B) &  (v3_memstr_0(C, B) &  (v2_ami_wstd(C, B) & l1_extpro_1(C, B)) ) ) )  =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (k4_ami_wstd(B, C, D, A)=k4_ami_wstd(B, C, E, A) => D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_ami_wstd, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_setfam_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_memstr_0(C, B) &  (v3_memstr_0(C, B) &  (v2_ami_wstd(C, B) & l1_extpro_1(C, B)) ) ) )  =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => k2_xcmplx_0(k3_ami_wstd(B, C, D), A)=k3_ami_wstd(B, C, k4_ami_wstd(B, C, D, A))) ) ) ) ) ) ) ) ).
fof(d7_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => k5_ami_wstd(A, B, C)=k4_ami_wstd(A, B, C, 1)) ) ) ) ) ) ).
fof(t14_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => k5_ami_wstd(A, B, C)=k1_ami_wstd(A, B, k1_nat_1(k3_ami_wstd(A, B, C), 1))) ) ) ) ) ) ).
fof(t15_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ (C=k5_ami_wstd(A, B, C)) ) ) ) ) ) ) ).
fof(t16_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (k5_ami_wstd(A, B, C)=k5_ami_wstd(A, B, D) => C=D) ) ) ) ) ) ) ) ) ).
fof(t17_ami_wstd, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_setfam_1(B))  => k1_ami_wstd(B, k4_amistd_1(B), A)=A) ) ) ) ).
fof(t18_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_compos_1(k4_amistd_1(A))) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(k4_amistd_1(A))) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, k4_amistd_1(A))) & v1_partfun1(C, u1_struct_0(k4_amistd_1(A)))) ) ) )  =>  (k5_compos_0(u1_compos_1(k4_amistd_1(A)), B)=1 => k5_memstr_0(A, k4_amistd_1(A), k2_extpro_1(A, k4_amistd_1(A), B, C))=k5_ami_wstd(A, k4_amistd_1(A), k5_memstr_0(A, k4_amistd_1(A), C))) ) ) ) ) ) ) ).
fof(t19_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, u1_compos_1(k4_amistd_1(A))) =>  (k5_compos_0(u1_compos_1(k4_amistd_1(A)), C)=1 => k1_amistd_1(A, k4_amistd_1(A), B, C)=k6_domain_1(k4_ordinal1, k5_ami_wstd(A, k4_amistd_1(A), B))) ) ) ) ) ) ) ).
fof(t20_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k3_amistd_1(A, k4_amistd_1(A), B)=k7_domain_1(k4_ordinal1, B, k5_ami_wstd(A, k4_amistd_1(A), B))) ) ) ) ).
fof(d8_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (v3_ami_wstd(C, A, B) <=>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  => k1_funct_1(k2_extpro_1(A, B, C, D), k4_struct_0(B))=k5_ami_wstd(A, B, k5_memstr_0(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t21_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, u1_compos_1(B)) =>  (v3_ami_wstd(D, A, B) => k1_amistd_1(A, B, C, D)=k6_domain_1(k4_ordinal1, k5_ami_wstd(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t22_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  ~ ( (v3_ami_wstd(C, A, B) & v2_extpro_1(C, A, B)) ) ) ) ) ) ) ) ).
fof(d9_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) & v1_funct_1(C)) ) )  =>  (v4_ami_wstd(C, A, B) <=>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (k5_memstr_0(A, B, D)=k1_ami_wstd(A, B, k5_numbers) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) => r2_tarski(k5_memstr_0(A, B, k5_extpro_1(A, B, C, D, E)), k1_relset_1(k4_ordinal1, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) )  =>  ( (v5_amistd_1(C, A, B) & r2_tarski(k1_ami_wstd(A, B, k5_numbers), k1_relset_1(k4_ordinal1, C)))  => v4_ami_wstd(C, A, B)) ) ) ) ) ) ) ).
fof(t24_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) ) )  => v5_amistd_1(k17_funcop_1(k1_ami_wstd(A, B, k5_numbers), k2_compos_1(B)), A, B)) ) ) ) ).
fof(d10_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) )  =>  (v5_ami_wstd(C, A, B) <=>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r2_tarski(D, k1_relset_1(k4_ordinal1, C)) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r1_ami_wstd(A, B, E, D) => r2_tarski(E, k1_relset_1(k4_ordinal1, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) => v5_ami_wstd(k17_funcop_1(k1_ami_wstd(A, B, k5_numbers), C), A, B)) ) ) ) ) ) ).
fof(t26_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) &  (v1_finset_1(C) & v5_ami_wstd(C, A, B)) ) ) ) ) )  => r2_tarski(k1_ami_wstd(A, B, k5_numbers), k1_relset_1(k4_ordinal1, C))) ) ) ) ) ) ).
fof(t27_ami_wstd, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_setfam_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_memstr_0(C, B) &  (v3_memstr_0(C, B) &  (v2_ami_wstd(C, B) & l1_extpro_1(C, B)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(C)) &  (v1_funct_1(D) &  (v1_finset_1(D) & v5_ami_wstd(D, B, C)) ) ) ) )  =>  ( ~ (r1_xxreal_0(k4_card_1(D), A))  <=> r2_tarski(k1_ami_wstd(B, C, A), k1_relset_1(k4_ordinal1, D))) ) ) ) ) ) ) ) ) ).
fof(t28_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) )  => r2_tarski(k6_ami_wstd(A, B, C), k1_relset_1(k4_ordinal1, C))) ) ) ) ) ) ).
fof(t29_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(B)) &  ( ~ (v1_xboole_0(D))  &  (v1_funct_1(D) & v1_finset_1(D)) ) ) ) )  =>  (r1_tarski(C, D) => r1_ami_wstd(A, B, k6_ami_wstd(A, B, C), k6_ami_wstd(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t30_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r2_tarski(D, k1_relset_1(k4_ordinal1, C)) => r1_ami_wstd(A, B, D, k6_ami_wstd(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t31_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) &  (v1_finset_1(C) & v5_ami_wstd(C, A, B)) ) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(B)) &  ( ~ (v1_xboole_0(D))  &  (v1_funct_1(D) & v1_finset_1(D)) ) ) ) )  =>  ( (r1_tarski(C, D) & k6_ami_wstd(A, B, C)=k6_ami_wstd(A, B, D))  => C=D) ) ) ) ) ) ) ) ) ).
fof(t32_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) &  (v1_finset_1(C) & v5_ami_wstd(C, A, B)) ) ) ) ) )  => k6_ami_wstd(A, B, C)=k1_ami_wstd(A, B, k7_nat_d(k4_card_1(C), 1))) ) ) ) ) ) ).
fof(d12_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) )  =>  (v6_ami_wstd(C, A, B) <=> k1_funct_1(C, k6_ami_wstd(A, B, C))=k2_compos_1(B)) ) ) ) ) ) ) ).
fof(d13_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) )  =>  (v7_ami_wstd(C, A, B) <=>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (k1_funct_1(C, D)=k2_compos_1(B) & r2_tarski(D, k1_relset_1(k4_ordinal1, C)))  => D=k6_ami_wstd(A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t33_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (k3_amistd_1(A, B, C)=k4_ordinal1 => r1_ami_wstd(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(d14_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (v7_ordinal1(D) => k7_ami_wstd(A, B, C, D)=k1_ami_wstd(A, B, k7_nat_d(k3_ami_wstd(A, B, C), D))) ) ) ) ) ) ) ) ).
fof(t34_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => k7_ami_wstd(A, B, C, k5_numbers)=C) ) ) ) ) ) ).
fof(t35_ami_wstd, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_setfam_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_memstr_0(C, B) &  (v3_memstr_0(C, B) &  (v2_ami_wstd(C, B) & l1_extpro_1(C, B)) ) ) )  =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => k7_ami_wstd(B, C, k4_ami_wstd(B, C, D, A), A)=D) ) ) ) ) ) ) ) ).
fof(dt_k1_ami_wstd, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) )  & v7_ordinal1(C)) )  => m1_subset_1(k1_ami_wstd(A, B, C), k4_ordinal1)) ) ).
fof(dt_k2_ami_wstd, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) )  & v7_ordinal1(C)) )  => v7_ordinal1(k2_ami_wstd(A, B, C))) ) ).
fof(dt_k3_ami_wstd, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) )  & v7_ordinal1(C)) )  => m1_subset_1(k3_ami_wstd(A, B, C), k4_ordinal1)) ) ).
fof(redefinition_k3_ami_wstd, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) )  & v7_ordinal1(C)) )  => k3_ami_wstd(A, B, C)=k2_ami_wstd(A, B, C)) ) ).
fof(dt_k4_ami_wstd, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) )  &  (m1_subset_1(C, k4_ordinal1) & v7_ordinal1(D)) ) )  => m1_subset_1(k4_ami_wstd(A, B, C, D), k4_ordinal1)) ) ).
fof(dt_k5_ami_wstd, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) )  & m1_subset_1(C, k4_ordinal1)) )  => m1_subset_1(k5_ami_wstd(A, B, C), k4_ordinal1)) ) ).
fof(dt_k6_ami_wstd, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) ) ) )  => m1_subset_1(k6_ami_wstd(A, B, C), k4_ordinal1)) ) ).
fof(dt_k7_ami_wstd, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) )  &  (m1_subset_1(C, k4_ordinal1) & v7_ordinal1(D)) ) )  => m1_subset_1(k7_ami_wstd(A, B, C, D), k4_ordinal1)) ) ).
fof(d11_ami_wstd, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_ami_wstd(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (D=k6_ami_wstd(A, B, C) <=>  (? [E] :  ( ( ~ (v1_xboole_0(E))  &  (v1_finset_1(E) & v6_membered(E)) )  &  (E=a_3_0_ami_wstd(A, B, C) & D=k1_ami_wstd(A, B, k1_xxreal_2(E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_ami_wstd, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_setfam_1(B))  &  ( ( ~ (v2_struct_0(C))  &  (v2_memstr_0(C, B) &  (v3_memstr_0(C, B) &  (v2_ami_wstd(C, B) & l1_extpro_1(C, B)) ) ) )  &  (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(C)) &  ( ~ (v1_xboole_0(D))  &  (v1_funct_1(D) & v1_finset_1(D)) ) ) ) ) ) )  =>  (r2_hidden(A, a_3_0_ami_wstd(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k4_ordinal1) &  (A=k3_ami_wstd(B, C, E) & r2_tarski(E, k1_relset_1(k4_ordinal1, D))) ) ) ) ) ) ).
fof(fc1_amistd_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_setfam_1(A))  &  ( (v2_memstr_0(B, A) & l1_extpro_1(B, A))  &  (m1_subset_1(C, u1_compos_1(B)) &  (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) ) ) ) )  =>  (v1_relat_1(k1_funct_1(k3_funct_2(u1_compos_1(B), k1_funct_2(k4_card_3(k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B))), k4_card_3(k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B)))), u1_extpro_1(A, B), C), D)) & v1_funct_1(k1_funct_1(k3_funct_2(u1_compos_1(B), k1_funct_2(k4_card_3(k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B))), k4_card_3(k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B)))), u1_extpro_1(A, B), C), D))) ) ) ).
fof(rc1_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  & v2_memstr_0(B, A)) ) ) ) ) ).
fof(fc2_amistd_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  &  (m1_subset_1(C, u1_compos_1(B)) & v7_ordinal1(D)) ) )  =>  ~ (v1_xboole_0(k1_amistd_1(A, B, D, C))) ) ) ).
fof(fc3_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  ( ~ (v2_struct_0(k4_amistd_1(A)))  &  (v8_struct_0(k4_amistd_1(A)) & v1_extpro_1(k4_amistd_1(A), A)) ) ) ) ).
fof(fc4_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (v2_memstr_0(k4_amistd_1(A), A) & v1_extpro_1(k4_amistd_1(A), A)) ) ) ).
fof(fc5_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (v3_memstr_0(k4_amistd_1(A), A) & v1_extpro_1(k4_amistd_1(A), A)) ) ) ).
fof(cc1_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_compos_1(k4_amistd_1(A))) => v4_compos_0(B, u1_compos_1(k4_amistd_1(A)))) ) ) ) ).
fof(fc6_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (v1_extpro_1(k4_amistd_1(A), A) & v3_amistd_1(k4_amistd_1(A), A)) ) ) ).
fof(fc7_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (v1_extpro_1(k4_amistd_1(A), A) & v3_extpro_1(k4_amistd_1(A), A)) ) ) ).
fof(rc2_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & v3_amistd_1(B, A)) ) ) ) ) ) ) ) ).
fof(cc2_amistd_1, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (v4_amistd_1(C, A, B) =>  ~ (v2_extpro_1(C, A, B)) ) ) ) ) ) ).
fof(cc3_amistd_1, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (v2_extpro_1(C, A, B) =>  ~ (v4_amistd_1(C, A, B)) ) ) ) ) ) ).
fof(fc8_amistd_1, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) ) )  =>  (v1_relat_1(k4_compos_1(B)) &  (v4_relat_1(k4_compos_1(B), k4_ordinal1) &  (v5_relat_1(k4_compos_1(B), u1_compos_1(B)) &  (v1_funct_1(k4_compos_1(B)) &  (v1_finset_1(k4_compos_1(B)) & v5_amistd_1(k4_compos_1(B), A, B)) ) ) ) ) ) ) ).
fof(rc3_amistd_1, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v3_amistd_1(B, A) & l1_extpro_1(B, A)) ) ) ) ) )  =>  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v5_ordinal1(C) &  ( ~ (v1_xboole_0(C))  &  (v1_zfmisc_1(C) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_afinsq_1(C) &  ( ~ (v2_compos_1(C, B))  &  (v3_compos_1(C, B) &  (v4_compos_1(C, B) &  (v4_card_3(C) &  (v2_pre_poly(C) & v5_amistd_1(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc9_amistd_1, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(k4_amistd_1(A))) &  (v1_funct_1(B) & v5_funct_1(B, k2_memstr_0(A, k4_amistd_1(A)))) ) ) )  =>  (v1_relat_1(k6_memstr_0(A, k4_amistd_1(A), B)) &  (v4_relat_1(k6_memstr_0(A, k4_amistd_1(A), B), u1_struct_0(k4_amistd_1(A))) &  (v1_xboole_0(k6_memstr_0(A, k4_amistd_1(A), B)) &  (v1_funct_1(k6_memstr_0(A, k4_amistd_1(A), B)) & v5_funct_1(k6_memstr_0(A, k4_amistd_1(A), B), k2_memstr_0(A, k4_amistd_1(A)))) ) ) ) ) ) ).
fof(rc4_amistd_1, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) ) )  =>  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) &  (v1_finset_1(C) &  ( ~ (v2_compos_1(C, B))  &  (v4_card_3(C) &  (v2_pre_poly(C) & v6_amistd_1(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) & l1_extpro_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k4_compos_0(u1_compos_1(B))) =>  (v1_amistd_1(C, A, B) <=>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_compos_1(B)) =>  ( (k5_compos_0(u1_compos_1(B), F)=C & r2_tarski(E, k8_struct_0(B)))  => k1_funct_1(k2_extpro_1(A, B, F, D), E)=k1_funct_1(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) & l1_extpro_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (v2_amistd_1(C, A, B) <=> v1_amistd_1(k5_compos_0(u1_compos_1(B), C), A, B)) ) ) ) ) ) ) ).
fof(t1_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  ( (! [D] :  (v7_ordinal1(D) => k1_amistd_1(A, B, D, C)=k1_tarski(D)) )  => v1_xboole_0(k2_amistd_1(A, B, C))) ) ) ) ) ) ) ).
fof(t2_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, u1_compos_1(B)) =>  (v2_extpro_1(D, A, B) => k1_amistd_1(A, B, C, D)=k1_tarski(C)) ) ) ) ) ) ) ) ) ).
fof(d6_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (v3_amistd_1(B, A) <=>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(C, D) <=>  (? [E] :  ( ( ~ (v1_xboole_0(E))  & m2_finseq_1(E, k4_ordinal1))  &  (k7_partfun1(k4_ordinal1, E, 1)=C &  (k7_partfun1(k4_ordinal1, E, k3_finseq_1(E))=D &  (! [F] :  (v7_ordinal1(F) =>  (r1_xxreal_0(1, F) =>  (r1_xxreal_0(k3_finseq_1(E), F) | r2_tarski(k7_partfun1(k4_ordinal1, E, k1_nat_1(F, 1)), k3_amistd_1(A, B, k7_partfun1(k4_ordinal1, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (v3_amistd_1(B, A) <=>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(k1_nat_1(C, 1), k3_amistd_1(A, B, C)) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k3_amistd_1(A, B, C)) => r1_xxreal_0(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( (v1_extpro_1(B, A) & l1_extpro_1(B, A))  =>  (B=k4_amistd_1(A) <=>  (u1_struct_0(B)=k6_domain_1(k4_ordinal1, k5_numbers) &  (k4_struct_0(B)=k5_numbers &  (u1_compos_1(B)=k2_tarski(k4_domain_1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k5_numbers, k5_numbers, k5_numbers), k4_domain_1(k4_ordinal1, k4_ordinal1, k4_ordinal1, 1, k5_numbers, k5_numbers)) &  (u1_memstr_0(A, B)=k17_funcop_1(k5_numbers, k5_numbers) &  (r8_pboole(A, u2_memstr_0(A, B), k7_funcop_1(A, k4_ordinal1)) &  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_card_3(k2_memstr_0(A, B)), k4_card_3(k2_memstr_0(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(A, B)), k4_card_3(k2_memstr_0(A, B)))))) )  &  ( (! [D] :  (m1_subset_1(D, k4_card_3(k2_memstr_0(A, B))) => k1_funct_1(C, D)=k1_funct_4(D, k17_funcop_1(k5_numbers, k1_nat_1(k10_subset_1(k1_funct_1(D, k5_numbers), k4_ordinal1), 1)))) )  & u1_extpro_1(A, B)=k1_funct_4(k17_funcop_1(k4_domain_1(k4_ordinal1, k4_ordinal1, k4_ordinal1, 1, k5_numbers, k5_numbers), C), k17_funcop_1(k4_domain_1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k5_numbers, k5_numbers, k5_numbers), k6_partfun1(k4_card_3(k2_memstr_0(A, B)))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_compos_1(k4_amistd_1(A))) =>  (k5_compos_0(u1_compos_1(k4_amistd_1(A)), B)=k5_numbers => v2_extpro_1(B, A, k4_amistd_1(A))) ) ) ) ) ).
fof(t5_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_compos_1(k4_amistd_1(A))) =>  ~ ( (k5_compos_0(u1_compos_1(k4_amistd_1(A)), B)=1 & v2_extpro_1(B, A, k4_amistd_1(A))) ) ) ) ) ) ).
fof(t6_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_compos_1(k4_amistd_1(A))) =>  (k5_compos_0(u1_compos_1(k4_amistd_1(A)), B)=1 | k5_compos_0(u1_compos_1(k4_amistd_1(A)), B)=k5_numbers) ) ) ) ) ).
fof(t7_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_compos_1(k4_amistd_1(A))) => v2_amistd_1(B, A, k4_amistd_1(A))) ) ) ) ).
fof(t8_amistd_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_setfam_1(B))  =>  (! [C] :  (v7_ordinal1(C) =>  (C=A => k3_amistd_1(B, k4_amistd_1(B), C)=k2_tarski(A, k1_nat_1(A, 1))) ) ) ) ) ) ) ).
fof(t9_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_compos_1(k4_amistd_1(A))) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(k4_amistd_1(A))) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, k4_amistd_1(A))) & v1_partfun1(C, u1_struct_0(k4_amistd_1(A)))) ) ) )  =>  (k5_compos_0(u1_compos_1(k4_amistd_1(A)), B)=1 => k1_funct_1(k2_extpro_1(A, k4_amistd_1(A), B, C), k4_struct_0(k4_amistd_1(A)))=k1_nat_1(k5_memstr_0(A, k4_amistd_1(A), C), 1)) ) ) ) ) ) ) ).
fof(t10_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_compos_1(k4_amistd_1(A))) =>  (k5_compos_0(u1_compos_1(k4_amistd_1(A)), C)=1 => k1_amistd_1(A, k4_amistd_1(A), B, C)=k6_domain_1(k4_ordinal1, k1_nat_1(B, 1))) ) ) ) ) ) ) ).
fof(t11_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (v7_ordinal1(B) => k3_amistd_1(A, k4_amistd_1(A), B)=k2_tarski(B, k1_nat_1(B, 1))) ) ) ) ).
fof(d8_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (v4_amistd_1(C, A, B) <=>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  => k1_funct_1(k2_extpro_1(A, B, C, D), k4_struct_0(B))=k1_nat_1(k5_memstr_0(A, B, D), 1)) ) ) ) ) ) ) ) ) ).
fof(t12_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, u1_compos_1(B)) =>  (v4_amistd_1(D, A, B) => k1_amistd_1(A, B, C, D)=k6_domain_1(k4_ordinal1, k1_nat_1(C, 1))) ) ) ) ) ) ) ) ) ).
fof(t13_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  ~ ( ( ~ (v1_xboole_0(k2_amistd_1(A, B, C)))  & v4_amistd_1(C, A, B)) ) ) ) ) ) ) ) ).
fof(d9_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) )  =>  (v5_amistd_1(C, A, B) <=>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k1_relset_1(k4_ordinal1, C)) => r1_tarski(k1_amistd_1(A, B, D, k7_partfun1(u1_compos_1(B), C, D)), k1_relset_1(k4_ordinal1, C))) ) ) ) ) ) ) ) ) ) ).
fof(d10_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) & v1_funct_1(C)) ) )  =>  (v6_amistd_1(C, A, B) <=>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) &  (v1_partfun1(D, u1_struct_0(B)) & v5_memstr_0(D, A, B, k5_numbers)) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v5_relat_1(E, u1_compos_1(B)) &  (v1_funct_1(E) & v1_partfun1(E, k4_ordinal1)) ) ) )  =>  (r1_tarski(C, E) => r1_extpro_1(A, B, E, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) )  =>  (v5_amistd_1(C, A, B) <=>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (r2_tarski(k5_memstr_0(A, B, D), k1_relset_1(k4_ordinal1, C)) =>  (! [E] :  (v7_ordinal1(E) => r2_tarski(k5_memstr_0(A, B, k5_extpro_1(A, B, C, D, E)), k1_relset_1(k4_ordinal1, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_compos_1(k1_extpro_1(A))) => v2_extpro_1(B, A, k1_extpro_1(A))) ) ) ) ).
fof(t18_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_compos_1(k1_extpro_1(A))) => k5_compos_0(u1_compos_1(k1_extpro_1(A)), B)=k5_numbers) ) ) ) ).
fof(t19_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (! [D] :  (v7_ordinal1(D) => r1_tarski(k2_amistd_1(A, B, C), k1_amistd_1(A, B, D, C))) ) ) ) ) ) ) ) ).
fof(t20_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_compos_1(k4_amistd_1(A))) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(k4_amistd_1(A))) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, k4_amistd_1(A))) & v1_partfun1(C, u1_struct_0(k4_amistd_1(A)))) ) ) )  =>  (k5_compos_0(u1_compos_1(k4_amistd_1(A)), B)=1 => r8_pboole(u1_struct_0(k4_amistd_1(A)), k2_extpro_1(A, k4_amistd_1(A), B, C), k9_memstr_0(A, k4_amistd_1(A), C, 1))) ) ) ) ) ) ) ).
fof(t21_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) )  =>  (v5_amistd_1(C, A, B) <=>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (r2_tarski(k5_memstr_0(A, B, D), k1_relset_1(k4_ordinal1, C)) =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v5_relat_1(E, u1_compos_1(B)) &  (v1_funct_1(E) & v1_partfun1(E, k4_ordinal1)) ) ) )  =>  (r1_tarski(C, E) =>  (! [F] :  (v7_ordinal1(F) => r2_tarski(k5_memstr_0(A, B, k5_extpro_1(A, B, E, D, F)), k1_relset_1(k4_ordinal1, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_amistd_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  &  (v7_ordinal1(C) & m1_subset_1(D, u1_compos_1(B))) ) )  => m1_subset_1(k1_amistd_1(A, B, C, D), k1_zfmisc_1(k4_ordinal1))) ) ).
fof(dt_k2_amistd_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  & m1_subset_1(C, u1_compos_1(B))) )  => m1_subset_1(k2_amistd_1(A, B, C), k1_zfmisc_1(k4_ordinal1))) ) ).
fof(dt_k3_amistd_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  & v7_ordinal1(C)) )  => m1_subset_1(k3_amistd_1(A, B, C), k1_zfmisc_1(k4_ordinal1))) ) ).
fof(dt_k4_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (v1_extpro_1(k4_amistd_1(A), A) & l1_extpro_1(k4_amistd_1(A), A)) ) ) ).
fof(d3_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, u1_compos_1(B)) => k1_amistd_1(A, B, C, D)=a_4_0_amistd_1(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(d4_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) => k2_amistd_1(A, B, C)=k1_setfam_1(a_3_0_amistd_1(A, B, C))) ) ) ) ) ) ).
fof(d5_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  (v7_ordinal1(C) => k3_amistd_1(A, B, C)=k3_tarski(a_3_1_amistd_1(A, B, C))) ) ) ) ) ) ).
fof(fraenkel_a_4_0_amistd_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_setfam_1(B))  &  ( ( ~ (v2_struct_0(C))  &  (v2_memstr_0(C, B) &  (v3_memstr_0(C, B) & l1_extpro_1(C, B)) ) )  &  (v7_ordinal1(D) & m1_subset_1(E, u1_compos_1(C))) ) )  =>  (r2_hidden(A, a_4_0_amistd_1(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, k4_card_3(k2_memstr_0(B, C))) &  (A=k5_memstr_0(B, C, k2_extpro_1(B, C, E, F)) & k5_memstr_0(B, C, F)=D) ) ) ) ) ) ).
fof(fraenkel_a_3_0_amistd_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_setfam_1(B))  &  ( ( ~ (v2_struct_0(C))  &  (v2_memstr_0(C, B) &  (v3_memstr_0(C, B) & l1_extpro_1(C, B)) ) )  & m1_subset_1(D, u1_compos_1(C))) )  =>  (r2_hidden(A, a_3_0_amistd_1(B, C, D)) <=>  (? [E] :  (v7_ordinal1(E) & A=k1_amistd_1(B, C, E, D)) ) ) ) ) ).
fof(fraenkel_a_3_1_amistd_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_setfam_1(B))  &  ( ( ~ (v2_struct_0(C))  &  (v2_memstr_0(C, B) &  (v3_memstr_0(C, B) & l1_extpro_1(C, B)) ) )  & v7_ordinal1(D)) )  =>  (r2_hidden(A, a_3_1_amistd_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_compos_1(C)) & A=k7_subset_1(k4_ordinal1, k1_amistd_1(B, C, D, E), k2_amistd_1(B, C, E))) ) ) ) ) ).
fof(rc1_amistd_2, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & v3_amistd_1(B, A)) ) ) ) ) ) ) ).
fof(fc1_amistd_2, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  & m1_subset_1(B, u1_compos_1(k4_amistd_1(A))))  => v1_xboole_0(k2_amistd_1(A, k4_amistd_1(A), B))) ) ).
fof(fc2_amistd_2, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (v1_extpro_1(k4_amistd_1(A), A) & v2_amistd_2(k4_amistd_1(A), A)) ) ) ).
fof(rc2_amistd_2, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v3_amistd_1(B, A) & v2_amistd_2(B, A)) ) ) ) ) ) ) ) ) ).
fof(fc3_amistd_2, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  & m1_subset_1(B, u1_compos_1(k1_extpro_1(A))))  => v1_xboole_0(k2_amistd_1(A, k1_extpro_1(A), B))) ) ).
fof(fc4_amistd_2, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (v1_extpro_1(k1_extpro_1(A), A) & v2_amistd_2(k1_extpro_1(A), A)) ) ) ).
fof(rc3_amistd_2, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & v2_amistd_2(B, A)) ) ) ) ) ) ) ) ).
fof(cc1_amistd_2, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_amistd_2(B, A) & l1_extpro_1(B, A)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) => v1_amistd_2(C, A, B)) ) ) ) ).
fof(fc5_amistd_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  &  (v2_extpro_1(C, A, B) & m1_subset_1(C, u1_compos_1(B))) ) )  => v1_xboole_0(k2_amistd_1(A, B, C))) ) ).
fof(cc2_amistd_2, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_amistd_2(B, A) & l1_extpro_1(B, A)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (v2_extpro_1(C, A, B) => v4_compos_0(C, u1_compos_1(B))) ) ) ) ) ).
fof(cc3_amistd_2, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_amistd_2(B, A) & l1_extpro_1(B, A)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (v4_amistd_1(C, A, B) => v4_compos_0(C, u1_compos_1(B))) ) ) ) ) ).
fof(fc6_amistd_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v2_amistd_2(B, A) & l1_extpro_1(B, A)) ) ) ) )  &  ( (v2_extpro_1(C, A, B) & m1_subset_1(C, u1_compos_1(B)))  & v7_ordinal1(D)) ) )  => v2_extpro_1(k8_compos_0(u1_compos_1(B), C, D), A, B)) ) ).
fof(cc4_amistd_2, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v2_amistd_2(B, A) & l1_extpro_1(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (v4_amistd_1(C, A, B) => v3_amistd_2(C, A, B)) ) ) ) ) ).
fof(cc5_amistd_2, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v2_amistd_2(B, A) & l1_extpro_1(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (v2_extpro_1(C, A, B) => v3_amistd_2(C, A, B)) ) ) ) ) ).
fof(fc7_amistd_2, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (v1_extpro_1(k4_amistd_1(A), A) & v4_amistd_2(k4_amistd_1(A), A)) ) ) ).
fof(rc4_amistd_2, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v3_amistd_1(B, A) & v2_amistd_2(B, A)) ) ) ) ) ) ) ) ) ).
fof(rc5_amistd_2, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v3_amistd_1(B, A) &  (v2_amistd_2(B, A) & v4_amistd_2(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(cc6_amistd_2, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v4_amistd_2(B, A) & l1_extpro_1(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) => v3_amistd_2(C, A, B)) ) ) ) ).
fof(rc6_amistd_2, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v2_amistd_2(B, A) & l1_extpro_1(B, A)) ) ) ) ) )  =>  (? [C] :  (m1_subset_1(C, u1_compos_1(B)) &  (v1_amistd_2(C, A, B) & v3_amistd_2(C, A, B)) ) ) ) ) ).
fof(fc8_amistd_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v3_amistd_1(B, A) &  (v2_amistd_2(B, A) &  (v4_amistd_2(B, A) & l1_extpro_1(B, A)) ) ) ) ) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v1_finset_1(C) &  (v1_afinsq_1(C) & v5_amistd_1(C, A, B)) ) ) ) ) ) )  &  (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(B)) &  (v1_funct_1(D) &  ( ~ (v1_xboole_0(D))  &  (v1_finset_1(D) &  (v1_afinsq_1(D) & v5_amistd_1(D, A, B)) ) ) ) ) ) ) ) ) )  =>  (v1_relat_1(k7_compos_1(B, C, D)) &  (v4_relat_1(k7_compos_1(B, C, D), k4_ordinal1) &  (v5_relat_1(k7_compos_1(B, C, D), u1_compos_1(B)) &  (v1_funct_1(k7_compos_1(B, C, D)) &  (v1_finset_1(k7_compos_1(B, C, D)) & v5_amistd_1(k7_compos_1(B, C, D), A, B)) ) ) ) ) ) ) ).
fof(t1_amistd_2, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_compos_1(k4_amistd_1(A))) => k2_compos_0(B)=k5_numbers) ) ) ) ).
fof(d1_amistd_2, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (v1_amistd_2(C, A, B) <=> k2_amistd_1(A, B, C)=k10_xtuple_0(k2_compos_0(C))) ) ) ) ) ) ) ).
fof(d2_amistd_2, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (v2_amistd_2(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) => v1_amistd_2(C, A, B)) ) ) ) ) ) ) ).
fof(t2_amistd_2, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_amistd_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  ( (! [D] :  (m1_subset_1(D, k4_ordinal1) => k1_amistd_1(A, B, D, C)=k1_tarski(k1_nat_1(D, 1))) )  => v1_xboole_0(k2_amistd_1(A, B, C))) ) ) ) ) ) ) ).
fof(t3_amistd_2, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (m1_subset_1(B, k4_compos_0(u1_compos_1(k4_amistd_1(A)))) => k6_compos_0(u1_compos_1(k4_amistd_1(A)), B)=k1_tarski(k5_numbers)) ) ) ) ).
fof(t4_amistd_2, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (v2_extpro_1(C, A, B) => v1_xboole_0(k2_amistd_1(A, B, C))) ) ) ) ) ) ) ).
fof(t5_amistd_2, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v2_amistd_2(B, A) & l1_extpro_1(B, A)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (v4_compos_0(C, u1_compos_1(B)) => v1_xboole_0(k2_amistd_1(A, B, C))) ) ) ) ) ) ) ).
fof(t6_amistd_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_setfam_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_memstr_0(C, B) &  (v3_memstr_0(C, B) &  (v3_extpro_1(C, B) &  (v3_amistd_1(C, B) &  (v2_amistd_2(C, B) & l1_extpro_1(C, B)) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_compos_1(C)) =>  (v4_amistd_1(D, B, C) => v4_amistd_1(k8_compos_0(u1_compos_1(C), D, A), B, C)) ) ) ) ) ) ) ) ) ).
fof(d3_amistd_2, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (v3_amistd_2(C, A, B) <=>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, u1_struct_0(B)) &  (v1_funct_1(F) &  (v5_funct_1(F, k2_memstr_0(A, B)) & v1_partfun1(F, u1_struct_0(B))) ) ) )  => k2_xcmplx_0(k5_memstr_0(A, B, k2_extpro_1(A, B, k8_compos_0(u1_compos_1(B), C, D), F)), E)=k5_memstr_0(A, B, k2_extpro_1(A, B, k8_compos_0(u1_compos_1(B), C, k2_xcmplx_0(D, E)), k9_memstr_0(A, B, F, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_amistd_2, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (v4_amistd_2(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) => v3_amistd_2(C, A, B)) ) ) ) ) ) ) ).
fof(t7_amistd_2, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v2_amistd_2(B, A) & l1_extpro_1(B, A)) ) ) ) )  =>  (! [C] :  ( (v3_amistd_2(C, A, B) & m1_subset_1(C, u1_compos_1(B)))  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(B)) &  (v1_funct_1(E) &  (v5_funct_1(E, k2_memstr_0(A, B)) & v1_partfun1(E, u1_struct_0(B))) ) ) )  => k2_xcmplx_0(k5_memstr_0(A, B, k2_extpro_1(A, B, C, E)), D)=k5_memstr_0(A, B, k2_extpro_1(A, B, k8_compos_0(u1_compos_1(B), C, D), k9_memstr_0(A, B, E, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t8_amistd_2, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_compos_1(k1_extpro_1(A))) => k2_compos_0(B)=k5_numbers) ) ) ) ).
fof(t9_amistd_2, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (m1_subset_1(B, k4_compos_0(u1_compos_1(k1_extpro_1(A)))) => k6_compos_0(u1_compos_1(k1_extpro_1(A)), B)=k1_tarski(k5_numbers)) ) ) ) ).
fof(t10_amistd_2, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_memstr_0(C, A) &  (v3_memstr_0(C, A) & l1_extpro_1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(C)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, C)) & v1_partfun1(D, u1_struct_0(C))) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v5_relat_1(E, u1_compos_1(C)) &  (v1_funct_1(E) &  ( ~ (v1_xboole_0(E))  &  (v1_finset_1(E) & v1_afinsq_1(E)) ) ) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, k4_ordinal1) &  (v5_relat_1(F, u1_compos_1(C)) &  (v1_funct_1(F) & v1_partfun1(F, k4_ordinal1)) ) ) )  =>  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, k4_ordinal1) &  (v5_relat_1(G, u1_compos_1(C)) &  (v1_funct_1(G) & v1_partfun1(G, k4_ordinal1)) ) ) )  =>  ( (r1_tarski(E, F) &  (r1_tarski(E, G) &  (! [H] :  (v7_ordinal1(H) =>  ( ~ (r1_xxreal_0(B, H))  => r2_tarski(k5_memstr_0(A, C, k5_extpro_1(A, C, G, D, H)), k2_afinsq_1(E))) ) ) ) )  =>  (! [H] :  (v7_ordinal1(H) =>  (r1_xxreal_0(H, B) => r8_pboole(u1_struct_0(C), k5_extpro_1(A, C, F, D, H), k5_extpro_1(A, C, G, D, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_amistd_2, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (r8_pboole(u1_struct_0(B), D, k4_extpro_1(A, B, D, C)) =>  (! [E] :  (v7_ordinal1(E) => r8_pboole(u1_struct_0(B), k5_extpro_1(A, B, C, D, E), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_amistd_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_amistd_1(B, A) & l1_extpro_1(B, A)) ) ) )  & m1_subset_1(C, k1_zfmisc_1(k4_ordinal1))) )  =>  (v1_relat_1(k1_amistd_3(A, B, C)) &  (v5_relat_1(k1_amistd_3(A, B, C), k4_ordinal1) &  (v5_ordinal1(k1_amistd_3(A, B, C)) &  (v1_funct_1(k1_amistd_3(A, B, C)) & v2_funct_1(k1_amistd_3(A, B, C))) ) ) ) ) ) ).
fof(d1_amistd_3, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_amistd_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k4_ordinal1)) =>  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, k4_ordinal1) &  (v5_ordinal1(D) & v1_funct_1(D)) ) )  =>  (D=k1_amistd_3(A, B, C) <=>  (k9_xtuple_0(D)=k1_card_1(C) &  (! [E] :  (r2_tarski(E, k1_card_1(C)) => k1_funct_1(D, E)=k1_funct_1(k3_wellord1(k1_wellord2(k2_wellord2(k1_wellord2(C))), k1_wellord2(C)), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_amistd_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_setfam_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_memstr_0(C, B) &  (v3_memstr_0(C, B) &  (v3_amistd_1(C, B) & l1_extpro_1(C, B)) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k4_ordinal1)) =>  (D=k1_tarski(A) => k1_amistd_3(B, C, D)=k17_funcop_1(k5_numbers, A)) ) ) ) ) ) ) ) ) ).
fof(t2_amistd_3, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v3_amistd_1(B, A) & l1_extpro_1(B, A)) ) ) ) )  => k2_amistd_3(A, B, k4_compos_1(B))=k8_funcop_1(k4_ordinal1, k8_trees_1, k5_numbers)) ) ) ) ).
fof(dt_k1_amistd_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_amistd_1(B, A) & l1_extpro_1(B, A)) ) ) )  & m1_subset_1(C, k1_zfmisc_1(k4_ordinal1))) )  =>  (v1_relat_1(k1_amistd_3(A, B, C)) &  (v5_relat_1(k1_amistd_3(A, B, C), k4_ordinal1) &  (v5_ordinal1(k1_amistd_3(A, B, C)) & v1_funct_1(k1_amistd_3(A, B, C))) ) ) ) ) ).
fof(dt_k2_amistd_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_amistd_1(B, A) & l1_extpro_1(B, A)) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  & v1_finset_1(C)) ) ) ) ) ) )  =>  (v1_relat_1(k2_amistd_3(A, B, C)) &  (v5_relat_1(k2_amistd_3(A, B, C), k4_ordinal1) &  (v1_funct_1(k2_amistd_3(A, B, C)) & v3_trees_2(k2_amistd_3(A, B, C))) ) ) ) ) ).
fof(d2_amistd_3, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_amistd_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  & v1_finset_1(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, k4_ordinal1) &  (v1_funct_1(D) & v3_trees_2(D)) ) )  =>  (D=k2_amistd_3(A, B, C) <=>  (k1_funct_1(D, k1_xboole_0)=k64_valued_1(C) &  (! [E] :  (m1_trees_1(E, k9_xtuple_0(D)) =>  (k1_trees_2(k9_xtuple_0(D), E)=a_5_0_amistd_3(A, B, C, D, E) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k1_card_1(k1_amistd_1(A, B, k3_trees_2(k4_ordinal1, D, E), k7_partfun1(u1_compos_1(B), C, k3_trees_2(k4_ordinal1, D, E))))) => k1_funct_1(D, k7_finseq_1(E, k9_finseq_1(F)))=k1_funct_1(k1_amistd_3(A, B, k1_amistd_1(A, B, k3_trees_2(k4_ordinal1, D, E), k7_partfun1(u1_compos_1(B), C, k3_trees_2(k4_ordinal1, D, E)))), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_5_0_amistd_3, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_setfam_1(B))  &  ( ( ~ (v2_struct_0(C))  &  (v2_memstr_0(C, B) &  (v3_memstr_0(C, B) &  (v3_amistd_1(C, B) & l1_extpro_1(C, B)) ) ) )  &  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(C)) &  (v1_funct_1(D) &  ( ~ (v1_xboole_0(D))  & v1_finset_1(D)) ) ) ) )  &  ( (v1_relat_1(E) &  (v5_relat_1(E, k4_ordinal1) &  (v1_funct_1(E) & v3_trees_2(E)) ) )  & m1_trees_1(F, k9_xtuple_0(E))) ) ) )  =>  (r2_hidden(A, a_5_0_amistd_3(B, C, D, E, F)) <=>  (? [G] :  (v7_ordinal1(G) &  (A=k7_finseq_1(F, k9_finseq_1(G)) & r2_tarski(G, k1_card_1(k1_amistd_1(B, C, k3_trees_2(k4_ordinal1, E, F), k7_partfun1(u1_compos_1(C), D, k3_trees_2(k4_ordinal1, E, F)))))) ) ) ) ) ) ).
fof(fc1_amistd_4, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (v1_extpro_1(k4_amistd_1(A), A) & v2_amistd_4(k4_amistd_1(A), A)) ) ) ).
fof(rc1_amistd_4, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v2_amistd_2(B, A) &  (v4_amistd_2(B, A) &  (v3_amistd_1(B, A) &  (v1_amistd_4(B) & v2_amistd_4(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc2_amistd_4, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (v1_extpro_1(k4_amistd_1(A), A) & v1_amistd_4(k4_amistd_1(A))) ) ) ).
fof(rc2_amistd_4, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v1_amistd_4(B) & v2_amistd_4(B, A)) ) ) ) ) ) ) ) ).
fof(fc3_amistd_4, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v2_amistd_4(B, A) & l1_extpro_1(B, A)) ) )  & m1_subset_1(C, u1_struct_0(B))) )  =>  ~ (v1_zfmisc_1(k4_memstr_0(A, B, C))) ) ) ).
fof(fc4_amistd_4, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  (v2_memstr_0(B, A) &  (v1_amistd_4(B) & l1_extpro_1(B, A)) ) )  =>  ( ~ (v1_zfmisc_1(u1_compos_1(B)))  &  (v1_compos_0(u1_compos_1(B)) &  (v2_compos_0(u1_compos_1(B)) &  (v3_compos_0(u1_compos_1(B)) & v5_compos_0(u1_compos_1(B))) ) ) ) ) ) ).
fof(fc5_amistd_4, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) ) )  =>  ~ (v1_zfmisc_1(k4_memstr_0(A, B, k4_struct_0(B)))) ) ) ).
fof(fc6_amistd_4, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  &  (v2_extpro_1(C, A, B) & m1_subset_1(C, u1_compos_1(B))) ) )  => v1_xboole_0(k5_amistd_4(A, B, C))) ) ).
fof(fc7_amistd_4, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  &  (v2_extpro_1(C, A, B) & m1_subset_1(C, u1_compos_1(B))) ) )  => v1_xboole_0(k2_amistd_4(A, B, C))) ) ).
fof(fc8_amistd_4, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  &  (v2_extpro_1(C, A, B) & m1_subset_1(C, u1_compos_1(B))) ) )  => v1_xboole_0(k4_amistd_4(A, B, C))) ) ).
fof(rc3_amistd_4, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & v2_amistd_4(B, A)) ) ) ) ) ) ) ) ).
fof(fc9_amistd_4, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v2_amistd_4(B, A) & l1_extpro_1(B, A)) ) ) ) )  &  (v2_extpro_1(C, A, B) & m1_subset_1(C, u1_compos_1(B))) ) )  => v1_xboole_0(k3_amistd_4(A, B, C))) ) ).
fof(rc4_amistd_4, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & v1_amistd_4(B)) ) ) ) ) ) ) ).
fof(rc5_amistd_4, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & v3_amistd_1(B, A)) ) ) ) ) ) ) ).
fof(t1_amistd_4, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_amistd_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, k4_memstr_0(A, B, E)) =>  (v4_amistd_1(C, A, B) =>  (E=k4_struct_0(B) | k5_memstr_0(A, B, k2_extpro_1(A, B, C, D))=k5_memstr_0(A, B, k2_extpro_1(A, B, C, k1_amistd_4(A, B, D, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_amistd_4, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_amistd_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, k4_memstr_0(A, B, E)) =>  (v4_amistd_1(C, A, B) =>  (E=k4_struct_0(B) | k5_memstr_0(A, B, k2_extpro_1(A, B, C, k1_amistd_4(A, B, D, E, F)))=k5_memstr_0(A, B, k1_amistd_4(A, B, k2_extpro_1(A, B, C, D), E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_amistd_4, axiom,  (! [A] :  (l1_compos_1(A) =>  (v1_amistd_4(A) <=>  ~ (v1_zfmisc_1(u1_compos_1(A))) ) ) ) ).
fof(d2_amistd_4, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) & l1_extpro_1(B, A)) )  =>  (v2_amistd_4(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  ~ (v1_zfmisc_1(k4_memstr_0(A, B, C))) ) ) ) ) ) ) ) ).
fof(d3_amistd_4, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) & l1_extpro_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (D=k2_amistd_4(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (r2_tarski(E, D) <=>  ~ ( (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, u1_struct_0(B)) &  (v1_funct_1(F) &  (v5_funct_1(F, k2_memstr_0(A, B)) & v1_partfun1(F, u1_struct_0(B))) ) ) )  => k1_funct_1(F, E)=k1_funct_1(k2_extpro_1(A, B, C, F), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_amistd_4, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (D=k3_amistd_4(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (r2_tarski(E, D) <=>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, u1_struct_0(B)) &  (v1_funct_1(F) &  (v5_funct_1(F, k2_memstr_0(A, B)) & v1_partfun1(F, u1_struct_0(B))) ) ) )  =>  (! [G] :  (m1_subset_1(G, k4_memstr_0(A, B, E)) => k2_extpro_1(A, B, C, F)=k2_extpro_1(A, B, C, k1_amistd_4(A, B, F, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_amistd_4, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (D=k4_amistd_4(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (r2_tarski(E, D) <=>  ~ ( (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, u1_struct_0(B)) &  (v1_funct_1(F) &  (v5_funct_1(F, k2_memstr_0(A, B)) & v1_partfun1(F, u1_struct_0(B))) ) ) )  =>  (! [G] :  (m1_subset_1(G, k4_memstr_0(A, B, E)) => k2_extpro_1(A, B, C, k1_amistd_4(A, B, F, E, G))=k1_amistd_4(A, B, k2_extpro_1(A, B, C, F), E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_amistd_4, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) => k5_amistd_4(A, B, C)=k7_subset_1(u1_struct_0(B), k4_amistd_4(A, B, C), k3_amistd_4(A, B, C))) ) ) ) ) ) ).
fof(t3_amistd_4, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_amistd_4(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) => r1_tarski(k3_amistd_4(A, B, C), k2_amistd_4(A, B, C))) ) ) ) ) ) ).
fof(t4_amistd_4, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) => r1_tarski(k2_amistd_4(A, B, C), k4_amistd_4(A, B, C))) ) ) ) ) ) ).
fof(t5_amistd_4, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_amistd_4(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) => k3_amistd_4(A, B, C)=k7_subset_1(u1_struct_0(B), k2_amistd_4(A, B, C), k5_amistd_4(A, B, C))) ) ) ) ) ) ).
fof(t6_amistd_4, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_amistd_4(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) => k4_amistd_4(A, B, C)=k4_subset_1(u1_struct_0(B), k2_amistd_4(A, B, C), k5_amistd_4(A, B, C))) ) ) ) ) ) ).
fof(t7_amistd_4, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  ~ ( (v1_zfmisc_1(k4_memstr_0(A, B, D)) & r2_tarski(D, k4_amistd_4(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t8_amistd_4, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  ~ ( (v1_zfmisc_1(k4_memstr_0(A, B, D)) & r2_tarski(D, k5_amistd_4(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t9_amistd_4, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  ~ ( (v1_zfmisc_1(k4_memstr_0(A, B, D)) & r2_tarski(D, k2_amistd_4(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t10_amistd_4, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (v2_extpro_1(C, A, B) <=> v1_xboole_0(k2_amistd_4(A, B, C))) ) ) ) ) ) ) ).
fof(t11_amistd_4, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_amistd_4(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (v2_extpro_1(C, A, B) => v1_xboole_0(k3_amistd_4(A, B, C))) ) ) ) ) ) ) ).
fof(t12_amistd_4, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (v2_extpro_1(C, A, B) => v1_xboole_0(k4_amistd_4(A, B, C))) ) ) ) ) ) ) ).
fof(t13_amistd_4, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (v2_extpro_1(C, A, B) => v1_xboole_0(k5_amistd_4(A, B, C))) ) ) ) ) ) ) ).
fof(t14_amistd_4, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_amistd_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  ~ ( (v4_amistd_1(C, A, B) & r2_tarski(k4_struct_0(B), k3_amistd_4(A, B, C))) ) ) ) ) ) ) ) ).
fof(t15_amistd_4, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  ( ~ ( (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  => k1_funct_1(k2_extpro_1(A, B, C, D), k4_struct_0(B))=k5_memstr_0(A, B, D)) ) )  => r2_tarski(k4_struct_0(B), k2_amistd_4(A, B, C))) ) ) ) ) ) ) ).
fof(t16_amistd_4, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_amistd_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (v4_amistd_1(C, A, B) => r2_tarski(k4_struct_0(B), k2_amistd_4(A, B, C))) ) ) ) ) ) ) ).
fof(t17_amistd_4, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  ( ~ ( (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  => k1_funct_1(k2_extpro_1(A, B, C, D), k4_struct_0(B))=k5_memstr_0(A, B, D)) ) )  => r2_tarski(k4_struct_0(B), k4_amistd_4(A, B, C))) ) ) ) ) ) ) ).
fof(t18_amistd_4, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_amistd_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (v4_amistd_1(C, A, B) => r2_tarski(k4_struct_0(B), k4_amistd_4(A, B, C))) ) ) ) ) ) ) ).
fof(t19_amistd_4, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  ( (v2_amistd_1(C, A, B) & r2_tarski(D, k2_amistd_4(A, B, C)))  => D=k4_struct_0(B)) ) ) ) ) ) ) ) ) ).
fof(dt_k1_amistd_4, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v1_partfun1(C, u1_struct_0(B))) ) ) )  &  (m1_subset_1(D, u1_struct_0(B)) & m1_subset_1(E, k4_memstr_0(A, B, D))) ) ) )  =>  (v1_relat_1(k1_amistd_4(A, B, C, D, E)) &  (v4_relat_1(k1_amistd_4(A, B, C, D, E), u1_struct_0(B)) &  (v1_funct_1(k1_amistd_4(A, B, C, D, E)) &  (v5_funct_1(k1_amistd_4(A, B, C, D, E), k2_memstr_0(A, B)) & v1_partfun1(k1_amistd_4(A, B, C, D, E), u1_struct_0(B))) ) ) ) ) ) ).
fof(redefinition_k1_amistd_4, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v1_partfun1(C, u1_struct_0(B))) ) ) )  &  (m1_subset_1(D, u1_struct_0(B)) & m1_subset_1(E, k4_memstr_0(A, B, D))) ) ) )  => k1_amistd_4(A, B, C, D, E)=k1_funct_7(C, D, E)) ) ).
fof(dt_k2_amistd_4, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) & l1_extpro_1(B, A)) )  & m1_subset_1(C, u1_compos_1(B))) )  => m1_subset_1(k2_amistd_4(A, B, C), k1_zfmisc_1(u1_struct_0(B)))) ) ).
fof(dt_k3_amistd_4, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  & m1_subset_1(C, u1_compos_1(B))) )  => m1_subset_1(k3_amistd_4(A, B, C), k1_zfmisc_1(u1_struct_0(B)))) ) ).
fof(dt_k4_amistd_4, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  & m1_subset_1(C, u1_compos_1(B))) )  => m1_subset_1(k4_amistd_4(A, B, C), k1_zfmisc_1(u1_struct_0(B)))) ) ).
fof(dt_k5_amistd_4, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  & m1_subset_1(C, u1_compos_1(B))) )  => m1_subset_1(k5_amistd_4(A, B, C), k1_zfmisc_1(u1_struct_0(B)))) ) ).
fof(fc1_amistd_5, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v2_amistd_2(B, A) & l1_extpro_1(B, A)) ) ) ) )  &  ( (v3_amistd_2(C, A, B) & m1_subset_1(C, u1_compos_1(B)))  & v7_ordinal1(D)) ) )  => v3_amistd_2(k8_compos_0(u1_compos_1(B), C, D), A, B)) ) ).
fof(cc1_amistd_5, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (v1_amistd_5(C, A, B) => v3_amistd_2(C, A, B)) ) ) ) ) ).
fof(fc2_amistd_5, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => v1_xboole_0(k8_struct_0(k4_amistd_1(A)))) ) ).
fof(fc3_amistd_5, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(k4_amistd_1(A))) &  (v1_funct_1(B) & v5_funct_1(B, k2_memstr_0(A, k4_amistd_1(A)))) ) ) )  =>  (v1_relat_1(k6_memstr_0(A, k4_amistd_1(A), B)) &  (v4_relat_1(k6_memstr_0(A, k4_amistd_1(A), B), u1_struct_0(k4_amistd_1(A))) &  (v1_funct_1(k6_memstr_0(A, k4_amistd_1(A), B)) &  (v5_funct_1(k6_memstr_0(A, k4_amistd_1(A), B), k2_memstr_0(A, k4_amistd_1(A))) & v1_xboole_0(k6_memstr_0(A, k4_amistd_1(A), B))) ) ) ) ) ) ).
fof(fc4_amistd_5, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (v1_extpro_1(k4_amistd_1(A), A) &  (v2_amistd_5(k4_amistd_1(A), A) & v3_amistd_5(k4_amistd_1(A), A)) ) ) ) ).
fof(rc1_amistd_5, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v3_amistd_1(B, A) &  (v2_amistd_5(B, A) & v3_amistd_5(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(cc2_amistd_5, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v2_amistd_5(B, A) & l1_extpro_1(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) => v1_amistd_5(C, A, B)) ) ) ) ).
fof(rc2_amistd_5, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v2_amistd_5(B, A) & v3_amistd_5(B, A)) ) ) ) ) ) ) ) ) ).
fof(fc5_amistd_5, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (v1_extpro_1(k4_amistd_1(A), A) & v4_amistd_5(k4_amistd_1(A), A)) ) ) ).
fof(rc3_amistd_5, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v2_amistd_5(B, A) &  (v3_amistd_5(B, A) & v4_amistd_5(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(fc6_amistd_5, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (v1_extpro_1(k4_amistd_1(A), A) &  (v5_amistd_5(k4_amistd_1(A), A) & v6_amistd_5(k4_amistd_1(A), A)) ) ) ) ).
fof(rc4_amistd_5, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v2_amistd_5(B, A) &  (v3_amistd_5(B, A) &  (v4_amistd_5(B, A) &  (v5_amistd_5(B, A) & v6_amistd_5(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc7_amistd_5, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v2_amistd_5(B, A) &  (v3_amistd_5(B, A) &  (v4_amistd_5(B, A) &  (v5_amistd_5(B, A) &  (v6_amistd_5(B, A) & l1_extpro_1(B, A)) ) ) ) ) ) ) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  ~ (v2_compos_1(C, B)) ) ) ) ) )  &  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) &  ( ~ (v1_xboole_0(D))  &  (v1_finset_1(D) &  (v4_extpro_1(D, A, B, C) & v5_extpro_1(D, A, B, C)) ) ) ) ) ) )  & v7_ordinal1(E)) ) ) )  =>  (v1_relat_1(k9_memstr_0(A, B, D, E)) &  (v4_relat_1(k9_memstr_0(A, B, D, E), u1_struct_0(B)) &  (v1_funct_1(k9_memstr_0(A, B, D, E)) &  (v5_funct_1(k9_memstr_0(A, B, D, E), k2_memstr_0(A, B)) & v5_extpro_1(k9_memstr_0(A, B, D, E), A, B, k6_compos_1(B, C, E))) ) ) ) ) ) ).
fof(cc3_amistd_5, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) & v6_amistd_1(C, A, B)) ) ) )  =>  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) & v7_amistd_5(C, A, B, k5_numbers)) ) ) ) ) ) ) ) ).
fof(cc4_amistd_5, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) & v7_amistd_5(C, A, B, k5_numbers)) ) ) )  =>  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) & v6_amistd_1(C, A, B)) ) ) ) ) ) ) ) ).
fof(t1_amistd_5, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (v2_amistd_1(C, A, B) =>  (! [D] :  (v7_ordinal1(D) => v2_amistd_1(k8_compos_0(u1_compos_1(B), C, D), A, B)) ) ) ) ) ) ) ) ) ).
fof(d1_amistd_5, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (v1_amistd_5(C, A, B) <=>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, u1_struct_0(B)) &  (v1_funct_1(F) &  (v5_funct_1(F, k2_memstr_0(A, B)) & v1_partfun1(F, u1_struct_0(B))) ) ) )  => r6_pboole(u1_struct_0(B), k2_extpro_1(A, B, k8_compos_0(u1_compos_1(B), C, k2_xcmplx_0(D, E)), k9_memstr_0(A, B, F, E)), k9_memstr_0(A, B, k2_extpro_1(A, B, k8_compos_0(u1_compos_1(B), C, D), F), E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_amistd_5, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (v2_amistd_5(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) => v1_amistd_5(C, A, B)) ) ) ) ) ) ) ).
fof(t2_amistd_5, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_compos_1(k4_amistd_1(A))) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(k4_amistd_1(A))) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, k4_amistd_1(A))) & v1_partfun1(C, u1_struct_0(k4_amistd_1(A)))) ) ) )  =>  (! [D] :  (v7_ordinal1(D) => r6_pboole(u1_struct_0(k4_amistd_1(A)), k2_extpro_1(A, k4_amistd_1(A), B, k9_memstr_0(A, k4_amistd_1(A), C, D)), k9_memstr_0(A, k4_amistd_1(A), k2_extpro_1(A, k4_amistd_1(A), B, C), D))) ) ) ) ) ) ) ) ).
fof(d3_amistd_5, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (v3_amistd_5(B, A) <=>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  ~ (v2_compos_1(C, B)) ) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) &  (v1_finset_1(D) & v4_extpro_1(D, A, B, C)) ) ) ) )  =>  ( ~ (v1_xboole_0(D))  => r2_tarski(k4_struct_0(B), k9_xtuple_0(D))) ) ) ) ) ) ) ) ) ) ).
fof(t3_amistd_5, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (v3_amistd_5(B, A) <=>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  ~ (v2_compos_1(C, B)) ) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) &  (v1_finset_1(D) & v4_extpro_1(D, A, B, C)) ) ) ) )  =>  ( ~ (k6_memstr_0(A, B, D)=k1_xboole_0)  => r2_tarski(k4_struct_0(B), k9_xtuple_0(D))) ) ) ) ) ) ) ) ) ) ).
fof(t4_amistd_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_setfam_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_memstr_0(C, B) &  (v3_memstr_0(C, B) &  (v3_extpro_1(C, B) &  (v2_amistd_5(C, B) & l1_extpro_1(C, B)) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_compos_1(C)) =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(C)) &  (v1_funct_1(E) &  (v5_funct_1(E, k2_memstr_0(B, C)) & v1_partfun1(E, u1_struct_0(C))) ) ) )  => r6_pboole(u1_struct_0(C), k2_extpro_1(B, C, k8_compos_0(u1_compos_1(C), D, A), k9_memstr_0(B, C, E, A)), k9_memstr_0(B, C, k2_extpro_1(B, C, D, E), A))) ) ) ) ) ) ) ) ) ) ).
fof(t5_amistd_5, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v2_amistd_5(B, A) & l1_extpro_1(B, A)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (k5_memstr_0(A, B, D)=k2_xcmplx_0(E, F) => r6_pboole(u1_struct_0(B), k2_extpro_1(A, B, C, k10_memstr_0(A, B, D, F)), k10_memstr_0(A, B, k2_extpro_1(A, B, k8_compos_0(u1_compos_1(B), C, F), D), F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_amistd_5, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v3_amistd_5(B, A) & l1_extpro_1(B, A)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  ~ (v2_compos_1(C, B)) ) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) &  ( ~ (v1_xboole_0(D))  &  (v1_finset_1(D) & v4_extpro_1(D, A, B, C)) ) ) ) ) )  => r2_tarski(k4_struct_0(B), k9_xtuple_0(D))) ) ) ) ) ) ) ) ).
fof(d4_amistd_5, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (v4_amistd_5(B, A) <=>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  ~ (v2_compos_1(C, B)) ) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) &  ( ~ (v1_xboole_0(D))  &  (v1_finset_1(D) & v4_extpro_1(D, A, B, C)) ) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(B)) &  (v1_funct_1(E) &  (v5_funct_1(E, k2_memstr_0(A, B)) & v1_partfun1(E, u1_struct_0(B))) ) ) )  =>  (r1_tarski(D, E) =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, k4_ordinal1) &  (v5_relat_1(F, u1_compos_1(B)) &  (v1_funct_1(F) & v1_partfun1(F, k4_ordinal1)) ) ) )  =>  (r1_tarski(C, F) =>  (! [G] :  (v7_ordinal1(G) => r2_tarski(k5_memstr_0(A, B, k5_extpro_1(A, B, F, E, G)), k9_xtuple_0(C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_amistd_5, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v3_amistd_5(B, A) &  (v4_amistd_5(B, A) & l1_extpro_1(B, A)) ) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  ~ (v2_compos_1(C, B)) ) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) &  ( ~ (v1_xboole_0(D))  &  (v1_finset_1(D) & v4_extpro_1(D, A, B, C)) ) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(B)) &  (v1_funct_1(E) &  (v5_funct_1(E, k2_memstr_0(A, B)) & v1_partfun1(E, u1_struct_0(B))) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, u1_struct_0(B)) &  (v1_funct_1(F) &  (v5_funct_1(F, k2_memstr_0(A, B)) & v1_partfun1(F, u1_struct_0(B))) ) ) )  =>  ( (r1_tarski(D, E) & r1_tarski(D, F))  =>  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, k4_ordinal1) &  (v5_relat_1(G, u1_compos_1(B)) &  (v1_funct_1(G) & v1_partfun1(G, k4_ordinal1)) ) ) )  =>  (! [H] :  ( (v1_relat_1(H) &  (v4_relat_1(H, k4_ordinal1) &  (v5_relat_1(H, u1_compos_1(B)) &  (v1_funct_1(H) & v1_partfun1(H, k4_ordinal1)) ) ) )  =>  ( (r1_tarski(C, G) & r1_tarski(C, H))  =>  (! [I] :  (v7_ordinal1(I) =>  (k5_memstr_0(A, B, k5_extpro_1(A, B, G, E, I))=k5_memstr_0(A, B, k5_extpro_1(A, B, H, F, I)) & k3_extpro_1(A, B, G, k5_extpro_1(A, B, G, E, I))=k3_extpro_1(A, B, H, k5_extpro_1(A, B, H, F, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_amistd_5, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v2_amistd_5(B, A) &  (v3_amistd_5(B, A) &  (v4_amistd_5(B, A) & l1_extpro_1(B, A)) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(B)) &  (v1_funct_1(D) &  (v1_finset_1(D) &  ~ (v2_compos_1(D, B)) ) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(B)) &  (v1_funct_1(E) &  (v5_funct_1(E, k2_memstr_0(A, B)) &  (v1_finset_1(E) & v4_extpro_1(E, A, B, D)) ) ) ) )  =>  (r2_tarski(k4_struct_0(B), k9_xtuple_0(E)) =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, u1_struct_0(B)) &  (v1_funct_1(F) &  (v5_funct_1(F, k2_memstr_0(A, B)) & v1_partfun1(F, u1_struct_0(B))) ) ) )  =>  (r1_tarski(E, F) =>  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, k4_ordinal1) &  (v5_relat_1(G, u1_compos_1(B)) &  (v1_funct_1(G) & v1_partfun1(G, k4_ordinal1)) ) ) )  =>  (r1_tarski(D, G) =>  (! [H] :  (v7_ordinal1(H) => r6_pboole(u1_struct_0(B), k5_extpro_1(A, B, k1_funct_4(G, k6_compos_1(B, D, C)), k1_funct_4(F, k9_memstr_0(A, B, E, C)), H), k9_memstr_0(A, B, k5_extpro_1(A, B, G, F, H), C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_amistd_5, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v2_amistd_5(B, A) &  (v3_amistd_5(B, A) &  (v4_amistd_5(B, A) & l1_extpro_1(B, A)) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(B)) &  (v1_funct_1(D) &  (v1_finset_1(D) &  ~ (v2_compos_1(D, B)) ) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(B)) &  (v1_funct_1(E) &  (v5_funct_1(E, k2_memstr_0(A, B)) &  (v1_finset_1(E) & v4_extpro_1(E, A, B, D)) ) ) ) )  =>  (r2_tarski(k4_struct_0(B), k9_xtuple_0(E)) =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, u1_struct_0(B)) &  (v1_funct_1(F) &  (v5_funct_1(F, k2_memstr_0(A, B)) & v1_partfun1(F, u1_struct_0(B))) ) ) )  =>  (r1_tarski(k9_memstr_0(A, B, E, C), F) =>  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, k4_ordinal1) &  (v5_relat_1(G, u1_compos_1(B)) &  (v1_funct_1(G) & v1_partfun1(G, k4_ordinal1)) ) ) )  =>  (r1_tarski(k6_compos_1(B, D, C), G) =>  (! [H] :  (v7_ordinal1(H) => r6_pboole(u1_struct_0(B), k5_extpro_1(A, B, G, F, H), k9_memstr_0(A, B, k5_extpro_1(A, B, k1_funct_4(G, D), k1_funct_4(F, E), H), C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_amistd_5, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v2_amistd_5(B, A) &  (v3_amistd_5(B, A) &  (v4_amistd_5(B, A) & l1_extpro_1(B, A)) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(B)) &  (v1_funct_1(D) &  (v1_finset_1(D) &  ~ (v2_compos_1(D, B)) ) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(B)) &  (v1_funct_1(E) &  (v5_funct_1(E, k2_memstr_0(A, B)) &  ( ~ (v1_xboole_0(E))  & v1_finset_1(E)) ) ) ) )  =>  (r2_tarski(k4_struct_0(B), k9_xtuple_0(E)) =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, u1_struct_0(B)) &  (v1_funct_1(F) &  (v5_funct_1(F, k2_memstr_0(A, B)) & v1_partfun1(F, u1_struct_0(B))) ) ) )  =>  ( (r1_tarski(E, F) & v4_extpro_1(k9_memstr_0(A, B, E, C), A, B, k6_compos_1(B, D, C)))  =>  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, k4_ordinal1) &  (v5_relat_1(G, u1_compos_1(B)) &  (v1_funct_1(G) & v1_partfun1(G, k4_ordinal1)) ) ) )  =>  (r1_tarski(D, G) =>  (! [H] :  (v7_ordinal1(H) => r6_pboole(u1_struct_0(B), k5_extpro_1(A, B, G, F, H), k10_memstr_0(A, B, k5_extpro_1(A, B, k1_funct_4(G, k6_compos_1(B, D, C)), k1_funct_4(F, k9_memstr_0(A, B, E, C)), H), C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_amistd_5, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v2_amistd_5(B, A) &  (v3_amistd_5(B, A) &  (v4_amistd_5(B, A) & l1_extpro_1(B, A)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  ~ (v2_compos_1(C, B)) ) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) &  ( ~ (v1_xboole_0(D))  & v1_finset_1(D)) ) ) ) )  =>  (r2_tarski(k4_struct_0(B), k9_xtuple_0(D)) =>  (! [E] :  (v7_ordinal1(E) =>  (v4_extpro_1(D, A, B, C) <=> v4_extpro_1(k9_memstr_0(A, B, D, E), A, B, k6_compos_1(B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_amistd_5, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v2_amistd_5(B, A) &  (v3_amistd_5(B, A) &  (v4_amistd_5(B, A) & l1_extpro_1(B, A)) ) ) ) ) ) )  =>  (v5_amistd_5(B, A) <=>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(B)) &  (v1_funct_1(D) &  (v1_finset_1(D) &  ~ (v2_compos_1(D, B)) ) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(B)) &  (v1_funct_1(E) &  (v5_funct_1(E, k2_memstr_0(A, B)) &  ( ~ (v1_xboole_0(E))  &  (v1_finset_1(E) & v4_extpro_1(E, A, B, D)) ) ) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, u1_struct_0(B)) &  (v1_funct_1(F) &  (v5_funct_1(F, k2_memstr_0(A, B)) & v1_partfun1(F, u1_struct_0(B))) ) ) )  =>  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, u1_struct_0(B)) &  (v1_funct_1(G) &  (v5_funct_1(G, k2_memstr_0(A, B)) & v1_partfun1(G, u1_struct_0(B))) ) ) )  =>  ( (r1_tarski(E, F) & r1_tarski(k9_memstr_0(A, B, E, C), G))  =>  (! [H] :  ( (v1_relat_1(H) &  (v4_relat_1(H, k4_ordinal1) &  (v5_relat_1(H, u1_compos_1(B)) &  (v1_funct_1(H) & v1_partfun1(H, k4_ordinal1)) ) ) )  =>  (! [I] :  ( (v1_relat_1(I) &  (v4_relat_1(I, k4_ordinal1) &  (v5_relat_1(I, u1_compos_1(B)) &  (v1_funct_1(I) & v1_partfun1(I, k4_ordinal1)) ) ) )  =>  ( (r1_tarski(D, H) & r1_tarski(k6_compos_1(B, D, C), I))  =>  (! [J] :  (v7_ordinal1(J) => k8_compos_0(u1_compos_1(B), k3_extpro_1(A, B, H, k5_extpro_1(A, B, H, F, J)), C)=k3_extpro_1(A, B, I, k5_extpro_1(A, B, I, G, J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_amistd_5, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v2_amistd_5(B, A) &  (v3_amistd_5(B, A) &  (v4_amistd_5(B, A) & l1_extpro_1(B, A)) ) ) ) ) ) )  =>  (v6_amistd_5(B, A) <=>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(B)) &  (v1_funct_1(D) &  (v1_finset_1(D) &  ~ (v2_compos_1(D, B)) ) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(B)) &  (v1_funct_1(E) &  (v5_funct_1(E, k2_memstr_0(A, B)) &  ( ~ (v1_xboole_0(E))  &  (v1_finset_1(E) & v4_extpro_1(E, A, B, D)) ) ) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, u1_struct_0(B)) &  (v1_funct_1(F) &  (v5_funct_1(F, k2_memstr_0(A, B)) & v1_partfun1(F, u1_struct_0(B))) ) ) )  =>  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, u1_struct_0(B)) &  (v1_funct_1(G) &  (v5_funct_1(G, k2_memstr_0(A, B)) & v1_partfun1(G, u1_struct_0(B))) ) ) )  =>  ( (r1_tarski(E, F) & r1_tarski(k9_memstr_0(A, B, E, C), G))  =>  (! [H] :  ( (v1_relat_1(H) &  (v4_relat_1(H, k4_ordinal1) &  (v5_relat_1(H, u1_compos_1(B)) &  (v1_funct_1(H) & v1_partfun1(H, k4_ordinal1)) ) ) )  =>  (! [I] :  ( (v1_relat_1(I) &  (v4_relat_1(I, k4_ordinal1) &  (v5_relat_1(I, u1_compos_1(B)) &  (v1_funct_1(I) & v1_partfun1(I, k4_ordinal1)) ) ) )  =>  ( (r1_tarski(D, H) & r1_tarski(k6_compos_1(B, D, C), I))  =>  (! [J] :  (v7_ordinal1(J) => k5_relat_1(k5_extpro_1(A, B, H, F, J), k9_xtuple_0(k6_memstr_0(A, B, E)))=k5_relat_1(k5_extpro_1(A, B, I, G, J), k9_xtuple_0(k6_memstr_0(A, B, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_amistd_5, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v2_amistd_5(B, A) &  (v3_amistd_5(B, A) &  (v4_amistd_5(B, A) &  (v5_amistd_5(B, A) &  (v6_amistd_5(B, A) & l1_extpro_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  ~ (v2_compos_1(C, B)) ) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) &  ( ~ (v1_xboole_0(D))  &  (v1_finset_1(D) & v4_extpro_1(D, A, B, C)) ) ) ) ) )  =>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(k4_struct_0(B), k9_xtuple_0(D)) =>  (v5_extpro_1(D, A, B, C) <=> v5_extpro_1(k9_memstr_0(A, B, D, E), A, B, k6_compos_1(B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_amistd_5, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v2_amistd_5(B, A) &  (v3_amistd_5(B, A) &  (v4_amistd_5(B, A) &  (v5_amistd_5(B, A) &  (v6_amistd_5(B, A) & l1_extpro_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  ~ (v2_compos_1(C, B)) ) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) &  ( ~ (v1_xboole_0(D))  &  (v1_finset_1(D) &  (v4_extpro_1(D, A, B, C) & v5_extpro_1(D, A, B, C)) ) ) ) ) ) )  =>  (r2_tarski(k4_struct_0(B), k9_xtuple_0(D)) =>  (! [E] :  (v7_ordinal1(E) => k6_memstr_0(A, B, k7_extpro_1(A, B, C, D))=k6_memstr_0(A, B, k7_extpro_1(A, B, k6_compos_1(B, C, E), k9_memstr_0(A, B, D, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_amistd_5, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v2_amistd_5(B, A) &  (v3_amistd_5(B, A) &  (v4_amistd_5(B, A) &  (v5_amistd_5(B, A) &  (v6_amistd_5(B, A) & l1_extpro_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v6_memstr_0(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k11_memstr_0(A, B), k11_memstr_0(A, B))))) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v5_relat_1(E, u1_compos_1(B)) &  (v1_funct_1(E) &  (v1_finset_1(E) &  ~ (v2_compos_1(E, B)) ) ) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, u1_struct_0(B)) &  (v1_funct_1(F) &  (v5_funct_1(F, k2_memstr_0(A, B)) &  ( ~ (v1_xboole_0(F))  &  (v1_finset_1(F) &  (v4_extpro_1(F, A, B, E) & v5_extpro_1(F, A, B, E)) ) ) ) ) ) )  =>  (r2_tarski(k4_struct_0(B), k9_xtuple_0(F)) =>  (! [G] :  (v7_ordinal1(G) =>  (r2_extpro_1(A, B, E, F, C) <=> r2_extpro_1(A, B, k6_compos_1(B, E, G), k9_memstr_0(A, B, F, G), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_amistd_5, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v3_amistd_5(B, A) &  (v4_amistd_5(B, A) & l1_extpro_1(B, A)) ) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  ~ (v2_compos_1(C, B)) ) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) &  (v1_finset_1(D) & v4_extpro_1(D, A, B, C)) ) ) ) )  =>  (r2_tarski(k4_struct_0(B), k9_xtuple_0(D)) => r2_tarski(k5_memstr_0(A, B, D), k9_xtuple_0(C))) ) ) ) ) ) ) ) ) ).
fof(d7_amistd_5, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(B)) & v1_funct_1(D)) ) )  =>  (v7_amistd_5(D, A, B, C) <=>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(B)) &  (v1_funct_1(E) &  (v5_funct_1(E, k2_memstr_0(A, B)) &  (v1_partfun1(E, u1_struct_0(B)) & v5_memstr_0(E, A, B, C)) ) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, k4_ordinal1) &  (v5_relat_1(F, u1_compos_1(B)) &  (v1_funct_1(F) & v1_partfun1(F, k4_ordinal1)) ) ) )  =>  (r1_tarski(D, F) => r1_extpro_1(A, B, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_analmetr, axiom,  (? [A] :  (l1_analmetr(A) & v1_analmetr(A)) ) ).
fof(rc2_analmetr, axiom,  (? [A] :  (l2_analmetr(A) & v2_analmetr(A)) ) ).
fof(rc3_analmetr, axiom,  (? [A] :  (l2_analmetr(A) &  ~ (v2_struct_0(A)) ) ) ).
fof(rc4_analmetr, axiom,  (? [A] :  (l1_analmetr(A) &  ~ (v2_struct_0(A)) ) ) ).
fof(fc1_analmetr, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  ( ~ (v2_struct_0(k2_analmetr(A, B, C)))  & v2_analmetr(k2_analmetr(A, B, C))) ) ) ).
fof(fc2_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_analmetr(A))  =>  ( ~ (v2_struct_0(g1_analoaf(u1_struct_0(A), u1_analoaf(A))))  & v1_analoaf(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) ) ) ).
fof(rc5_analmetr, axiom,  (? [A] :  (l2_analmetr(A) &  ( ~ (v2_struct_0(A))  &  (v2_analmetr(A) & v3_analmetr(A)) ) ) ) ).
fof(rc6_analmetr, axiom,  (? [A] :  (l2_analmetr(A) &  ( ~ (v2_struct_0(A))  &  (v2_analmetr(A) & v4_analmetr(A)) ) ) ) ).
fof(fc3_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  =>  ( ~ (v7_struct_0(g1_analoaf(u1_struct_0(A), u1_analoaf(A))))  &  (v1_analoaf(g1_analoaf(u1_struct_0(A), u1_analoaf(A))) & v1_diraf(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) ) ) ) ).
fof(fc4_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  ( ~ (v7_struct_0(g1_analoaf(u1_struct_0(A), u1_analoaf(A))))  &  (v1_analoaf(g1_analoaf(u1_struct_0(A), u1_analoaf(A))) &  (v1_diraf(g1_analoaf(u1_struct_0(A), u1_analoaf(A))) & v2_diraf(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) ) ) ) ) ).
fof(cc1_analmetr, axiom,  (! [A] :  (l2_analmetr(A) =>  ( ( ~ (v2_struct_0(A))  & v4_analmetr(A))  =>  ( ~ (v2_struct_0(A))  & v3_analmetr(A)) ) ) ) ).
fof(d1_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_analmetr(A, B, C) <=>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (v1_xreal_0(E) &  (? [F] :  (v1_xreal_0(F) & D=k3_rlvect_1(A, k1_rlvect_1(A, B, E), k1_rlvect_1(A, C, F))) ) ) ) ) )  &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (k3_rlvect_1(A, k1_rlvect_1(A, B, D), k1_rlvect_1(A, C, E))=k4_struct_0(A) =>  (D=k5_numbers & E=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_analmetr(A, B, C, D, E) <=>  (? [F] :  (v1_xreal_0(F) &  (? [G] :  (v1_xreal_0(G) &  (? [H] :  (v1_xreal_0(H) &  (? [I] :  (v1_xreal_0(I) &  (B=k3_rlvect_1(A, k1_rlvect_1(A, D, F), k1_rlvect_1(A, E, G)) &  (C=k3_rlvect_1(A, k1_rlvect_1(A, D, H), k1_rlvect_1(A, E, I)) & k2_xcmplx_0(k3_xcmplx_0(F, H), k3_xcmplx_0(G, I))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_analmetr(A, D, E) =>  (r2_analmetr(A, B, C, D, E) <=>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  ( (B=k3_rlvect_1(A, k1_rlvect_1(A, D, F), k1_rlvect_1(A, E, G)) & C=k3_rlvect_1(A, k1_rlvect_1(A, D, H), k1_rlvect_1(A, E, I)))  => k2_xcmplx_0(k3_xcmplx_0(F, H), k3_xcmplx_0(G, I))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_analmetr(A, B, C, B, C)) ) ) ) ) ) ).
fof(t3_analmetr, axiom,  (? [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & r1_analmetr(A, B, C)) ) ) ) ) ) ).
fof(t4_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_analmetr(A, B, C, D, E) => r2_analmetr(A, C, B, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_analmetr(A, B, C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_analmetr(A, D, k4_struct_0(A), B, C) & r2_analmetr(A, k4_struct_0(A), E, B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (r2_analmetr(A, B, C, D, E) => r2_analmetr(A, k1_rlvect_1(A, B, F), k1_rlvect_1(A, C, G), D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (r2_analmetr(A, B, C, D, E) =>  (r2_analmetr(A, k1_rlvect_1(A, B, F), C, D, E) & r2_analmetr(A, B, k1_rlvect_1(A, C, G), D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_analmetr(A, B, C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (r2_analmetr(A, D, E, B, C) &  ~ (E=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r1_analmetr(A, E, F) &  (r2_analmetr(A, D, B, E, F) &  (r2_analmetr(A, D, C, E, F) &  ( ~ (D=k4_struct_0(A))  &  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ~ ( (k1_rlvect_1(A, B, G)=k1_rlvect_1(A, C, H) &  ~ ( (G=k5_numbers & H=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r1_analmetr(A, E, F) &  (r2_analmetr(A, B, C, E, F) & r2_analmetr(A, B, D, E, F)) )  =>  (r2_analmetr(A, B, k3_rlvect_1(A, C, D), E, F) & r2_analmetr(A, B, k5_algstr_0(A, C, D), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_analmetr(A, C, D) & r2_analmetr(A, B, B, C, D))  => B=k4_struct_0(A)) ) ) ) ) ) ) ) ) ).
fof(t12_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r1_analmetr(A, E, F) &  (r2_analmetr(A, B, k5_algstr_0(A, C, D), E, F) & r2_analmetr(A, C, k5_algstr_0(A, D, B), E, F)) )  => r2_analmetr(A, D, k5_algstr_0(A, B, C), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r1_analmetr(A, D, E) &  ( ~ (B=k4_struct_0(A))  &  (! [F] :  (v1_xreal_0(F) =>  ~ (r2_analmetr(A, k5_algstr_0(A, C, k1_rlvect_1(A, B, F)), B, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( ~ ( ( (r1_analoaf(A, B, D, C, E) | r1_analoaf(A, B, D, E, C))  &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( (k1_rlvect_1(A, k5_algstr_0(A, D, B), F)=k1_rlvect_1(A, k5_algstr_0(A, E, C), G) &  ~ ( (F=k5_numbers & G=k5_numbers) ) ) ) ) ) ) ) ) )  &  ~ ( ( (? [F] :  (v1_xreal_0(F) &  (? [G] :  (v1_xreal_0(G) &  (k1_rlvect_1(A, k5_algstr_0(A, D, B), F)=k1_rlvect_1(A, k5_algstr_0(A, E, C), G) &  ~ ( (F=k5_numbers & G=k5_numbers) ) ) ) ) ) )  &  ( ~ (r1_analoaf(A, B, D, C, E))  &  ~ (r1_analoaf(A, B, D, E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(k1_domain_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_domain_1(u1_struct_0(A), u1_struct_0(A), B, D), k1_domain_1(u1_struct_0(A), u1_struct_0(A), C, E)), k1_diraf(u1_struct_0(A), k1_analoaf(A))) <=>  (? [F] :  (v1_xreal_0(F) &  (? [G] :  (v1_xreal_0(G) &  (k1_rlvect_1(A, k5_algstr_0(A, D, B), F)=k1_rlvect_1(A, k5_algstr_0(A, E, C), G) &  ~ ( (F=k5_numbers & G=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r3_analmetr(A, B, C, D, E, F, G) <=> r2_analmetr(A, k5_algstr_0(A, C, B), k5_algstr_0(A, E, D), F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) =>  (D=k1_analmetr(A, B, C) <=>  (! [E] :  (! [F] :  (r2_hidden(k4_tarski(E, F), D) <=>  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  (? [H] :  (m1_subset_1(H, u1_struct_0(A)) &  (? [I] :  (m1_subset_1(I, u1_struct_0(A)) &  (? [J] :  (m1_subset_1(J, u1_struct_0(A)) &  (E=k1_domain_1(u1_struct_0(A), u1_struct_0(A), G, H) &  (F=k1_domain_1(u1_struct_0(A), u1_struct_0(A), I, J) & r3_analmetr(A, G, H, I, J, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  => u1_struct_0(k2_diraf(k2_analoaf(A)))=u1_struct_0(A)) ) ).
fof(t17_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  => u1_analoaf(k2_diraf(k2_analoaf(A)))=k1_diraf(u1_struct_0(A), k1_analoaf(A))) ) ).
fof(t18_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_diraf(k2_analoaf(A)))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k2_diraf(k2_analoaf(A)))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k2_diraf(k2_analoaf(A)))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k2_diraf(k2_analoaf(A)))) =>  ( (F=B &  (H=D &  (G=C & I=E) ) )  =>  (r2_analoaf(k2_diraf(k2_analoaf(A)), F, H, G, I) <=>  (? [J] :  (v1_xreal_0(J) &  (? [K] :  (v1_xreal_0(K) &  (k1_rlvect_1(A, k5_algstr_0(A, D, B), J)=k1_rlvect_1(A, k5_algstr_0(A, E, C), K) &  ~ ( (J=k5_numbers & K=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_analmetr, axiom,  (! [A] :  (l1_analmetr(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r4_analmetr(A, B, C, D, E) <=> r2_hidden(k4_tarski(k4_tarski(B, C), k4_tarski(D, E)), u1_analmetr(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_analmetr(A, B, C)=g2_analmetr(u1_struct_0(A), k1_diraf(u1_struct_0(A), k1_analoaf(A)), k1_analmetr(A, B, C))) ) ) ) ) ) ).
fof(t19_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (u1_struct_0(k2_analmetr(A, B, C))=u1_struct_0(A) &  (u1_analoaf(k2_analmetr(A, B, C))=k1_diraf(u1_struct_0(A), k1_analoaf(A)) & u1_analmetr(k2_analmetr(A, B, C))=k1_analmetr(A, B, C)) ) ) ) ) ) ) ) ).
fof(t20_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => g1_analoaf(u1_struct_0(k2_analmetr(A, B, C)), u1_analoaf(k2_analmetr(A, B, C)))=k2_diraf(k2_analoaf(A))) ) ) ) ) ) ).
fof(t21_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k2_analmetr(A, F, G))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k2_analmetr(A, F, G))) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(k2_analmetr(A, F, G))) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(k2_analmetr(A, F, G))) =>  ( (H=B &  (I=C &  (J=D & K=E) ) )  =>  (r4_analmetr(k2_analmetr(A, F, G), H, J, I, K) <=> r3_analmetr(A, B, D, C, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k2_analmetr(A, F, G))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k2_analmetr(A, F, G))) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(k2_analmetr(A, F, G))) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(k2_analmetr(A, F, G))) =>  ( (H=B &  (J=D &  (I=C & K=E) ) )  =>  (r2_analoaf(k2_analmetr(A, F, G), H, J, I, K) <=>  (? [L] :  (v1_xreal_0(L) &  (? [M] :  (v1_xreal_0(M) &  (k1_rlvect_1(A, k5_algstr_0(A, D, B), L)=k1_rlvect_1(A, k5_algstr_0(A, E, C), M) &  ~ ( (L=k5_numbers & M=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_analmetr(A, B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_analmetr(A, B, C))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_analmetr(A, B, C))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k2_analmetr(A, B, C))) =>  (r4_analmetr(k2_analmetr(A, B, C), D, F, E, G) => r4_analmetr(k2_analmetr(A, B, C), E, G, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_analmetr(A, B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_analmetr(A, B, C))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_analmetr(A, B, C))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k2_analmetr(A, B, C))) =>  (r4_analmetr(k2_analmetr(A, B, C), D, F, E, G) => r4_analmetr(k2_analmetr(A, B, C), D, F, G, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_analmetr(A, B, C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_analmetr(A, B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_analmetr(A, B, C))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_analmetr(A, B, C))) => r4_analmetr(k2_analmetr(A, B, C), D, E, F, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_analmetr(A, B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_analmetr(A, B, C))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_analmetr(A, B, C))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k2_analmetr(A, B, C))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k2_analmetr(A, B, C))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k2_analmetr(A, B, C))) =>  ~ ( (r4_analmetr(k2_analmetr(A, B, C), D, E, F, G) &  (r2_analoaf(k2_analmetr(A, B, C), D, E, H, I) &  ( ~ (D=E)  &  ~ (r4_analmetr(k2_analmetr(A, B, C), F, G, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_analmetr(A, B, C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_analmetr(A, B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_analmetr(A, B, C))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_analmetr(A, B, C))) =>  (? [G] :  (m1_subset_1(G, u1_struct_0(k2_analmetr(A, B, C))) &  (r4_analmetr(k2_analmetr(A, B, C), D, E, F, G) &  ~ (F=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_analmetr(A, B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_analmetr(A, B, C))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_analmetr(A, B, C))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k2_analmetr(A, B, C))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k2_analmetr(A, B, C))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k2_analmetr(A, B, C))) =>  ~ ( (r1_analmetr(A, B, C) &  (r4_analmetr(k2_analmetr(A, B, C), D, E, F, G) &  (r4_analmetr(k2_analmetr(A, B, C), D, E, H, I) &  ( ~ (D=E)  &  ~ (r2_analoaf(k2_analmetr(A, B, C), F, G, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_analmetr(A, B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_analmetr(A, B, C))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_analmetr(A, B, C))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k2_analmetr(A, B, C))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k2_analmetr(A, B, C))) =>  ( (r1_analmetr(A, B, C) &  (r4_analmetr(k2_analmetr(A, B, C), D, E, F, G) & r4_analmetr(k2_analmetr(A, B, C), D, E, F, H)) )  => r4_analmetr(k2_analmetr(A, B, C), D, E, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_analmetr(A, B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_analmetr(A, B, C))) =>  ( (r1_analmetr(A, B, C) & r4_analmetr(k2_analmetr(A, B, C), D, E, D, E))  => D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_analmetr(A, B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_analmetr(A, B, C))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_analmetr(A, B, C))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k2_analmetr(A, B, C))) =>  ( (r1_analmetr(A, B, C) &  (r4_analmetr(k2_analmetr(A, B, C), D, G, E, F) & r4_analmetr(k2_analmetr(A, B, C), E, G, F, D)) )  => r4_analmetr(k2_analmetr(A, B, C), F, G, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_analmetr(A, B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_analmetr(A, B, C))) =>  (r1_analmetr(A, B, C) =>  (D=E |  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_analmetr(A, B, C))) =>  (? [G] :  (m1_subset_1(G, u1_struct_0(k2_analmetr(A, B, C))) &  (r2_analoaf(k2_analmetr(A, B, C), D, E, D, G) & r4_analmetr(k2_analmetr(A, B, C), D, E, G, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_analmetr(A))  =>  (v3_analmetr(A) <=>  ( ( ~ (v7_struct_0(g1_analoaf(u1_struct_0(A), u1_analoaf(A))))  &  (v1_diraf(g1_analoaf(u1_struct_0(A), u1_analoaf(A))) & l1_analoaf(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  ( (r4_analmetr(A, B, C, B, C) => B=C)  &  (r4_analmetr(A, B, C, D, D) &  ( (r4_analmetr(A, B, C, D, E) =>  (r4_analmetr(A, B, C, E, D) & r4_analmetr(A, D, E, B, C)) )  &  ( ~ ( (r4_analmetr(A, B, C, F, G) &  (r2_analoaf(A, B, C, H, I) &  ( ~ (r4_analmetr(A, F, G, H, I))  &  ~ (B=C) ) ) ) )  &  ( (r4_analmetr(A, B, C, F, G) & r4_analmetr(A, B, C, F, I))  => r4_analmetr(A, B, C, G, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_analoaf(A, B, C, B, E) & r4_analmetr(A, B, C, E, D)) ) ) ) ) ) ) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (r4_analmetr(A, B, C, D, E) &  ~ (D=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_analmetr(A, B, C) =>  ( ~ (v2_struct_0(k2_analmetr(A, B, C)))  &  (v3_analmetr(k2_analmetr(A, B, C)) & l2_analmetr(k2_analmetr(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(d9_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_analmetr(A))  =>  (v4_analmetr(A) <=>  ( ( ~ (v7_struct_0(g1_analoaf(u1_struct_0(A), u1_analoaf(A))))  &  (v1_diraf(g1_analoaf(u1_struct_0(A), u1_analoaf(A))) &  (v2_diraf(g1_analoaf(u1_struct_0(A), u1_analoaf(A))) & l1_analoaf(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  ( (r4_analmetr(A, B, C, B, C) => B=C)  &  (r4_analmetr(A, B, C, D, D) &  ( (r4_analmetr(A, B, C, D, E) =>  (r4_analmetr(A, B, C, E, D) & r4_analmetr(A, D, E, B, C)) )  &  ( ~ ( (r4_analmetr(A, B, C, F, G) &  (r2_analoaf(A, B, C, H, I) &  ( ~ (r4_analmetr(A, F, G, H, I))  &  ~ (B=C) ) ) ) )  &  ~ ( (r4_analmetr(A, B, C, F, G) &  (r4_analmetr(A, B, C, H, I) &  ( ~ (r2_analoaf(A, F, G, H, I))  &  ~ (B=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (r4_analmetr(A, B, C, D, E) &  ~ (D=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_analmetr(A, B, C) =>  ( ~ (v2_struct_0(k2_analmetr(A, B, C)))  &  (v4_analmetr(k2_analmetr(A, B, C)) & l2_analmetr(k2_analmetr(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t35_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_analmetr(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) <=> m1_subset_1(B, u1_struct_0(g1_analoaf(u1_struct_0(A), u1_analoaf(A))))) ) ) ) ).
fof(t36_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_analmetr(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) =>  ( (B=F &  (C=G &  (D=H & E=I) ) )  =>  (r2_analoaf(A, B, C, D, E) <=> r2_analoaf(g1_analoaf(u1_struct_0(A), u1_analoaf(A)), F, G, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) ) ) ) ).
fof(t38_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  =>  ( ( ~ (v7_struct_0(g1_analoaf(u1_struct_0(A), u1_analoaf(A))))  &  (v1_diraf(g1_analoaf(u1_struct_0(A), u1_analoaf(A))) &  (v2_diraf(g1_analoaf(u1_struct_0(A), u1_analoaf(A))) & l1_analoaf(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) ) )  =>  ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) ) ) ) ) ).
fof(t39_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_analmetr(A))  =>  (v4_analmetr(A) <=>  ( ~ ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => B=C) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (r2_analoaf(A, B, C, C, B) &  (r2_analoaf(A, B, C, D, D) &  ( ~ ( (r2_analoaf(A, B, C, F, G) &  (r2_analoaf(A, B, C, H, I) &  ( ~ (r2_analoaf(A, F, G, H, I))  &  ~ (B=C) ) ) ) )  &  ( (r2_analoaf(A, B, C, B, D) => r2_analoaf(A, C, B, C, D))  &  ( (? [J] :  (m1_subset_1(J, u1_struct_0(A)) &  (r2_analoaf(A, B, C, D, J) & r2_analoaf(A, B, D, C, J)) ) )  &  ( ~ ( (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  (! [L] :  (m1_subset_1(L, u1_struct_0(A)) => r2_analoaf(A, J, K, J, L)) ) ) ) ) ) )  &  ( (? [J] :  (m1_subset_1(J, u1_struct_0(A)) &  (r2_analoaf(A, B, C, D, J) &  ~ (D=J) ) ) )  &  ( ~ ( (r2_analoaf(A, B, C, C, E) &  ( ~ (C=B)  &  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  ~ ( (r2_analoaf(A, D, C, C, J) & r2_analoaf(A, D, B, E, J)) ) ) ) ) ) )  &  ( (r4_analmetr(A, B, C, B, C) => B=C)  &  (r4_analmetr(A, B, C, D, D) &  ( (r4_analmetr(A, B, C, D, E) =>  (r4_analmetr(A, B, C, E, D) & r4_analmetr(A, D, E, B, C)) )  &  ( ~ ( (r4_analmetr(A, B, C, F, G) &  (r2_analoaf(A, B, C, H, I) &  ( ~ (r4_analmetr(A, F, G, H, I))  &  ~ (B=C) ) ) ) )  &  ( ~ ( (r4_analmetr(A, B, C, F, G) &  (r4_analmetr(A, B, C, H, I) &  ( ~ (r2_analoaf(A, F, G, H, I))  &  ~ (B=C) ) ) ) )  &  ( (? [J] :  (m1_subset_1(J, u1_struct_0(A)) &  (r4_analmetr(A, B, C, D, J) &  ~ (D=J) ) ) )  &  ~ ( ( ~ (r2_analoaf(A, B, C, D, E))  &  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  ~ ( (r2_analoaf(A, B, C, B, J) & r2_analoaf(A, D, E, D, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_analmetr(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r5_analmetr(A, B, C, D) <=> r2_analoaf(A, B, C, B, D)) ) ) ) ) ) ) ) ) ).
fof(d11_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_analmetr(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (D=k3_analmetr(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(E, D) <=> r5_analmetr(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_analmetr(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v5_analmetr(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  ( ~ (C=D)  & B=k3_analmetr(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t40_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) =>  ( (B=E &  (C=F & D=G) )  =>  (r5_analmetr(A, B, C, D) <=> r1_aff_1(g1_analoaf(u1_struct_0(A), u1_analoaf(A)), E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) =>  ( (B=D & C=E)  => k3_analmetr(A, B, C)=k2_aff_1(g1_analoaf(u1_struct_0(A), u1_analoaf(A)), D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_analmetr(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) <=> m1_subset_1(B, k1_zfmisc_1(u1_struct_0(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))))) ) ) ) ).
fof(t43_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(g1_analoaf(u1_struct_0(A), u1_analoaf(A))))) =>  (B=C =>  (v5_analmetr(B, A) <=> v1_aff_1(C, g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) ) ) ) ) ) ) ) ).
fof(d13_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_analmetr(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r6_analmetr(A, B, C, D) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  ( ~ (E=F)  &  (D=k3_analmetr(A, E, F) & r4_analmetr(A, B, C, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_analmetr(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r7_analmetr(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  ( ~ (D=E)  &  (B=k3_analmetr(A, D, E) & r6_analmetr(A, D, E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_analmetr(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r8_analmetr(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  ( ~ (D=E)  &  ( ~ (F=G)  &  (B=k3_analmetr(A, D, E) &  (C=k3_analmetr(A, F, G) & r2_analoaf(A, D, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_analmetr(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r6_analmetr(A, B, C, D) => v5_analmetr(D, A))  &  (r7_analmetr(A, D, E) =>  (v5_analmetr(D, A) & v5_analmetr(E, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_analmetr(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r7_analmetr(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  ( ~ (D=E)  &  ( ~ (F=G)  &  (B=k3_analmetr(A, D, E) &  (C=k3_analmetr(A, F, G) & r4_analmetr(A, D, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(g1_analoaf(u1_struct_0(A), u1_analoaf(A))))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(g1_analoaf(u1_struct_0(A), u1_analoaf(A))))) =>  ( (B=D & C=E)  =>  (r8_analmetr(A, B, C) <=> r5_aff_1(g1_analoaf(u1_struct_0(A), u1_analoaf(A)), D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v5_analmetr(B, A) => r6_analmetr(A, C, C, B)) ) ) ) ) ) ) ).
fof(t48_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r6_analmetr(A, C, D, B) =>  ( ( ~ (r2_analoaf(A, C, D, E, F))  &  ~ (r2_analoaf(A, E, F, C, D)) )  |  (C=D | r6_analmetr(A, E, F, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r6_analmetr(A, C, D, B) => r6_analmetr(A, D, C, B)) ) ) ) ) ) ) ) ) ).
fof(t50_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r6_analmetr(A, D, E, B) & r9_analmetr(A, B, C))  => r6_analmetr(A, D, E, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) &  (r2_tarski(D, B) & r6_analmetr(A, C, D, B)) )  => C=D) ) ) ) ) ) ) ) ) ).
fof(t52_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r10_analmetr(A, B, C) & r9_analmetr(A, B, D))  => r10_analmetr(A, D, C)) ) ) ) ) ) ) ) ) ).
fof(t53_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_tarski(C, B) &  (r2_tarski(D, B) & r6_analmetr(A, E, F, B)) )  =>  (r4_analmetr(A, E, F, C, D) & r4_analmetr(A, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) &  (r2_tarski(D, B) & v5_analmetr(B, A)) )  =>  (C=D | B=k3_analmetr(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t55_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_tarski(C, B) &  (r2_tarski(D, B) & v5_analmetr(B, A)) )  =>  (C=D |  ( ( ~ (r4_analmetr(A, C, D, E, F))  &  ~ (r4_analmetr(A, E, F, C, D)) )  | r6_analmetr(A, E, F, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_tarski(D, B) &  (r2_tarski(E, B) &  (r2_tarski(F, C) &  (r2_tarski(G, C) & r10_analmetr(A, B, C)) ) ) )  => r4_analmetr(A, D, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ( (r2_tarski(H, D) &  (r2_tarski(H, E) &  (r2_tarski(F, D) &  (r2_tarski(G, E) &  (r2_tarski(F, C) &  (r2_tarski(G, C) &  (r10_analmetr(A, B, D) &  (r10_analmetr(A, B, E) & v5_analmetr(C, A)) ) ) ) ) ) ) )  =>  (F=G | r10_analmetr(A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r4_analmetr(A, C, D, B, B) &  (r4_analmetr(A, B, B, C, D) &  (r2_analoaf(A, C, D, B, B) & r2_analoaf(A, B, B, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_analoaf(A, B, C, D, E) =>  (r2_analoaf(A, B, C, E, D) &  (r2_analoaf(A, C, B, D, E) &  (r2_analoaf(A, C, B, E, D) &  (r2_analoaf(A, D, E, B, C) &  (r2_analoaf(A, D, E, C, B) &  (r2_analoaf(A, E, D, B, C) & r2_analoaf(A, E, D, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( ( ~ (F=G)  &  ( ~ ( ( ~ ( (r2_analoaf(A, F, G, B, C) & r2_analoaf(A, F, G, D, E)) )  &  ( ~ ( (r2_analoaf(A, F, G, B, C) & r2_analoaf(A, D, E, F, G)) )  &  ( ~ ( (r2_analoaf(A, B, C, F, G) & r2_analoaf(A, D, E, F, G)) )  &  ~ ( (r2_analoaf(A, B, C, F, G) & r2_analoaf(A, F, G, D, E)) ) ) ) ) )  &  ~ (r2_analoaf(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r4_analmetr(A, B, C, D, E) =>  (r4_analmetr(A, B, C, E, D) &  (r4_analmetr(A, C, B, D, E) &  (r4_analmetr(A, C, B, E, D) &  (r4_analmetr(A, D, E, B, C) &  (r4_analmetr(A, D, E, C, B) &  (r4_analmetr(A, E, D, B, C) & r4_analmetr(A, E, D, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( ( ~ (F=G)  &  ( ~ ( ( ~ ( (r2_analoaf(A, F, G, B, C) & r4_analmetr(A, F, G, D, E)) )  &  ( ~ ( (r2_analoaf(A, F, G, D, E) & r4_analmetr(A, F, G, B, C)) )  &  ( ~ ( (r2_analoaf(A, F, G, B, C) & r4_analmetr(A, D, E, F, G)) )  &  ( ~ ( (r2_analoaf(A, F, G, D, E) & r4_analmetr(A, B, C, F, G)) )  &  ( ~ ( (r2_analoaf(A, B, C, F, G) & r4_analmetr(A, D, E, F, G)) )  &  ( ~ ( (r2_analoaf(A, D, E, F, G) & r4_analmetr(A, B, C, F, G)) )  &  ( ~ ( (r2_analoaf(A, B, C, F, G) & r4_analmetr(A, F, G, D, E)) )  &  ~ ( (r2_analoaf(A, D, E, F, G) & r4_analmetr(A, F, G, B, C)) ) ) ) ) ) ) ) ) )  &  ~ (r4_analmetr(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( ( ~ (F=G)  &  ( ~ ( ( ~ ( (r4_analmetr(A, F, G, B, C) & r4_analmetr(A, F, G, D, E)) )  &  ( ~ ( (r4_analmetr(A, F, G, B, C) & r4_analmetr(A, D, E, F, G)) )  &  ( ~ ( (r4_analmetr(A, B, C, F, G) & r4_analmetr(A, D, E, F, G)) )  &  ~ ( (r4_analmetr(A, B, C, F, G) & r4_analmetr(A, F, G, D, E)) ) ) ) ) )  &  ~ (r2_analoaf(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_tarski(D, B) &  (r2_tarski(E, B) &  (v5_analmetr(B, A) &  (r2_tarski(F, C) &  (r2_tarski(G, C) &  (v5_analmetr(C, A) & r2_analoaf(A, D, E, F, G)) ) ) ) ) )  =>  (D=E |  (F=G | r9_analmetr(A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r10_analmetr(A, C, B) & r10_analmetr(A, D, B))  => r9_analmetr(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t66_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r10_analmetr(A, B, C) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(D, B) & r2_tarski(D, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r4_analmetr(A, B, C, D, E) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r5_analmetr(A, B, C, F) & r5_analmetr(A, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r6_analmetr(A, C, D, B) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r5_analmetr(A, C, D, E) & r2_tarski(E, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t69_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (r4_analmetr(A, B, E, C, D) & r5_analmetr(A, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_analmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (v5_analmetr(B, A) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r6_analmetr(A, C, D, B) & r2_tarski(D, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_analmetr, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k1_analmetr(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))))) ) ).
fof(abstractness_v1_analmetr, axiom,  (! [A] :  (l1_analmetr(A) =>  (v1_analmetr(A) => A=g1_analmetr(u1_struct_0(A), u1_analmetr(A))) ) ) ).
fof(dt_l1_analmetr, axiom,  (! [A] :  (l1_analmetr(A) => l1_struct_0(A)) ) ).
fof(existence_l1_analmetr, axiom,  (? [A] : l1_analmetr(A)) ).
fof(dt_g1_analmetr, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k2_zfmisc_1(A, A)))) =>  (v1_analmetr(g1_analmetr(A, B)) & l1_analmetr(g1_analmetr(A, B))) ) ) ).
fof(free_g1_analmetr, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k2_zfmisc_1(A, A)))) =>  (! [C, D] :  (g1_analmetr(A, B)=g1_analmetr(C, D) =>  (A=C & B=D) ) ) ) ) ).
fof(dt_u1_analmetr, axiom,  (! [A] :  (l1_analmetr(A) => m1_subset_1(u1_analmetr(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))))) ) ).
fof(abstractness_v2_analmetr, axiom,  (! [A] :  (l2_analmetr(A) =>  (v2_analmetr(A) => A=g2_analmetr(u1_struct_0(A), u1_analoaf(A), u1_analmetr(A))) ) ) ).
fof(dt_l2_analmetr, axiom,  (! [A] :  (l2_analmetr(A) =>  (l1_analoaf(A) & l1_analmetr(A)) ) ) ).
fof(existence_l2_analmetr, axiom,  (? [A] : l2_analmetr(A)) ).
fof(dt_g2_analmetr, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k2_zfmisc_1(A, A)))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k2_zfmisc_1(A, A)))))  =>  (v2_analmetr(g2_analmetr(A, B, C)) & l2_analmetr(g2_analmetr(A, B, C))) ) ) ).
fof(free_g2_analmetr, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k2_zfmisc_1(A, A)))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k2_zfmisc_1(A, A)))))  =>  (! [D, E, F] :  (g2_analmetr(A, B, C)=g2_analmetr(D, E, F) =>  (A=D &  (B=E & C=F) ) ) ) ) ) ).
fof(dt_k2_analmetr, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (v2_analmetr(k2_analmetr(A, B, C)) & l2_analmetr(k2_analmetr(A, B, C))) ) ) ).
fof(dt_k3_analmetr, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_analmetr(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k3_analmetr(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(symmetry_r9_analmetr, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (r9_analmetr(A, B, C) => r9_analmetr(A, C, B)) ) ) ).
fof(redefinition_r9_analmetr, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (r9_analmetr(A, B, C) <=> r8_analmetr(A, B, C)) ) ) ).
fof(symmetry_r10_analmetr, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (r10_analmetr(A, B, C) => r10_analmetr(A, C, B)) ) ) ).
fof(irreflexivity_r10_analmetr, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  ~ (r10_analmetr(A, B, B)) ) ) ).
fof(redefinition_r10_analmetr, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (r10_analmetr(A, B, C) <=> r7_analmetr(A, B, C)) ) ) ).
fof(rc1_analoaf, axiom,  (? [A] :  (l1_analoaf(A) & v1_analoaf(A)) ) ).
fof(rc2_analoaf, axiom,  (? [A] :  (l1_analoaf(A) &  ( ~ (v7_struct_0(A))  & v1_analoaf(A)) ) ) ).
fof(fc1_analoaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k2_analoaf(A)))  & v1_analoaf(k2_analoaf(A))) ) ) ).
fof(rc3_analoaf, axiom,  (? [A] :  (l1_analoaf(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v1_analoaf(A) & v2_analoaf(A)) ) ) ) ) ).
fof(rc4_analoaf, axiom,  (? [A] :  (l1_analoaf(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v1_analoaf(A) &  (v2_analoaf(A) & v3_analoaf(A)) ) ) ) ) ) ).
fof(d1_analoaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_analoaf(A, B, C, D, E) <=>  ~ ( ( ~ (B=C)  &  ( ~ (D=E)  &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(F, k5_numbers))  &  ( ~ (r1_xxreal_0(G, k5_numbers))  & k1_rlvect_1(A, k5_algstr_0(A, C, B), F)=k1_rlvect_1(A, k5_algstr_0(A, E, D), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_analoaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_rlvect_1(A, k5_algstr_0(A, D, C), k5_algstr_0(A, C, B))=k5_algstr_0(A, D, B)) ) ) ) ) ) ) ) ).
fof(t2_analoaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (k3_rlvect_1(A, E, B)=k3_rlvect_1(A, C, D) => k5_algstr_0(A, E, D)=k5_algstr_0(A, C, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_analoaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) => k1_rlvect_1(A, k5_algstr_0(A, B, C), D)=k4_algstr_0(A, k1_rlvect_1(A, k5_algstr_0(A, C, B), D))) ) ) ) ) ) ) ) ).
fof(t4_analoaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) => k1_rlvect_1(A, k5_algstr_0(A, B, C), k6_xcmplx_0(D, E))=k1_rlvect_1(A, k5_algstr_0(A, C, B), k6_xcmplx_0(E, D))) ) ) ) ) ) ) ) ) ) ).
fof(t5_analoaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (k1_rlvect_1(A, B, D)=C =>  (D=k5_numbers | B=k1_rlvect_1(A, C, k5_xcmplx_0(D))) ) ) ) ) ) ) ) ) ) ).
fof(t6_analoaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  ( (k1_rlvect_1(A, B, D)=C =>  (D=k5_numbers | B=k1_rlvect_1(A, C, k5_xcmplx_0(D))) )  &  (B=k1_rlvect_1(A, C, k5_xcmplx_0(D)) =>  (D=k5_numbers | k1_rlvect_1(A, B, D)=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_analoaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r1_analoaf(A, B, C, D, E) &  ( ~ (B=C)  &  ( ~ (D=E)  &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( (k1_rlvect_1(A, k5_algstr_0(A, C, B), F)=k1_rlvect_1(A, k5_algstr_0(A, E, D), G) &  ( ~ (r1_xxreal_0(F, k5_numbers))  &  ~ (r1_xxreal_0(G, k5_numbers)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_analoaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_analoaf(A, B, C, B, C)) ) ) ) ) ) ).
fof(t9_analoaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_analoaf(A, B, C, D, D) & r1_analoaf(A, B, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t10_analoaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_analoaf(A, B, C, C, B) => B=C) ) ) ) ) ) ) ).
fof(t11_analoaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r1_analoaf(A, B, C, D, E) & r1_analoaf(A, B, C, F, G))  =>  (B=C | r1_analoaf(A, D, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_analoaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_analoaf(A, B, C, D, E) =>  (r1_analoaf(A, C, B, E, D) & r1_analoaf(A, D, E, B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_analoaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_analoaf(A, B, C, C, D) => r1_analoaf(A, B, C, B, D)) ) ) ) ) ) ) ) ) ).
fof(t14_analoaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r1_analoaf(A, B, C, B, D) &  ( ~ (r1_analoaf(A, B, C, C, D))  &  ~ (r1_analoaf(A, B, D, D, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_analoaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (k5_algstr_0(A, C, B)=k5_algstr_0(A, E, D) => r1_analoaf(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_analoaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (E=k5_algstr_0(A, k3_rlvect_1(A, C, D), B) =>  (r1_analoaf(A, B, C, D, E) & r1_analoaf(A, B, D, C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_analoaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  ( ~ ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => B=C) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (r1_analoaf(A, B, C, D, E) &  (r1_analoaf(A, B, D, C, E) &  ~ (C=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_analoaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (B=D)  &  (r1_analoaf(A, D, B, B, E) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r1_analoaf(A, C, B, B, F) & r1_analoaf(A, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_analoaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (k3_rlvect_1(A, k1_rlvect_1(A, B, D), k1_rlvect_1(A, C, E))=k4_struct_0(A) =>  (D=k5_numbers & E=k5_numbers) ) ) ) ) )  =>  ( ~ (B=C)  &  ( ~ (B=k4_struct_0(A))  &  ~ (C=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ).
fof(t20_analoaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  ~ ( ( (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (k3_rlvect_1(A, k1_rlvect_1(A, B, D), k1_rlvect_1(A, C, E))=k4_struct_0(A) =>  (D=k5_numbers & E=k5_numbers) ) ) ) ) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (r1_analoaf(A, B, C, D, E))  &  ~ (r1_analoaf(A, B, C, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_analoaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  ( (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (v1_xreal_0(E) &  (? [F] :  (v1_xreal_0(F) & k3_rlvect_1(A, k1_rlvect_1(A, B, E), k1_rlvect_1(A, C, F))=D) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (r1_analoaf(A, B, C, D, E))  &  ( ~ (r1_analoaf(A, B, C, E, D))  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( ( (r1_analoaf(A, B, C, B, F) | r1_analoaf(A, B, C, F, B))  &  (r1_analoaf(A, D, E, D, F) | r1_analoaf(A, D, E, F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_analoaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_analoaf(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_analoaf(A, B, C, D, E) <=> r2_tarski(k1_domain_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_domain_1(u1_struct_0(A), u1_struct_0(A), B, C), k1_domain_1(u1_struct_0(A), u1_struct_0(A), D, E)), u1_analoaf(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_analoaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) =>  (B=k1_analoaf(A) <=>  (! [C] :  (! [D] :  (r2_hidden(k4_tarski(C, D), B) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  (? [H] :  (m1_subset_1(H, u1_struct_0(A)) &  (C=k1_domain_1(u1_struct_0(A), u1_struct_0(A), E, F) &  (D=k1_domain_1(u1_struct_0(A), u1_struct_0(A), G, H) & r1_analoaf(A, E, F, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_analoaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(k1_domain_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_domain_1(u1_struct_0(A), u1_struct_0(A), B, C), k1_domain_1(u1_struct_0(A), u1_struct_0(A), D, E)), k1_analoaf(A)) <=> r1_analoaf(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_analoaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  => k2_analoaf(A)=g1_analoaf(u1_struct_0(A), k1_analoaf(A))) ) ).
fof(t23_analoaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  ( (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (k3_rlvect_1(A, k1_rlvect_1(A, B, D), k1_rlvect_1(A, C, E))=k4_struct_0(A) =>  (D=k5_numbers & E=k5_numbers) ) ) ) ) ) ) ) ) )  =>  ( ~ ( (! [B] :  (m1_subset_1(B, u1_struct_0(k2_analoaf(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_analoaf(A))) => B=C) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(k2_analoaf(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_analoaf(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_analoaf(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_analoaf(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_analoaf(A))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k2_analoaf(A))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k2_analoaf(A))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k2_analoaf(A))) =>  (r2_analoaf(k2_analoaf(A), B, C, D, D) &  ( (r2_analoaf(k2_analoaf(A), B, C, C, B) => B=C)  &  ( ( (r2_analoaf(k2_analoaf(A), B, C, F, G) & r2_analoaf(k2_analoaf(A), B, C, H, I))  =>  (B=C | r2_analoaf(k2_analoaf(A), F, G, H, I)) )  &  ( (r2_analoaf(k2_analoaf(A), B, C, D, E) => r2_analoaf(k2_analoaf(A), C, B, E, D))  &  ( (r2_analoaf(k2_analoaf(A), B, C, C, D) => r2_analoaf(k2_analoaf(A), B, C, B, D))  &  ~ ( (r2_analoaf(k2_analoaf(A), B, C, B, D) &  ( ~ (r2_analoaf(k2_analoaf(A), B, C, C, D))  &  ~ (r2_analoaf(k2_analoaf(A), B, D, D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (? [B] :  (m1_subset_1(B, u1_struct_0(k2_analoaf(A))) &  (? [C] :  (m1_subset_1(C, u1_struct_0(k2_analoaf(A))) &  (? [D] :  (m1_subset_1(D, u1_struct_0(k2_analoaf(A))) &  (? [E] :  (m1_subset_1(E, u1_struct_0(k2_analoaf(A))) &  ( ~ (r2_analoaf(k2_analoaf(A), B, C, D, E))  &  ~ (r2_analoaf(k2_analoaf(A), B, C, E, D)) ) ) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(k2_analoaf(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_analoaf(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_analoaf(A))) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(k2_analoaf(A))) &  (r2_analoaf(k2_analoaf(A), B, C, D, E) &  (r2_analoaf(k2_analoaf(A), B, D, C, E) &  ~ (C=E) ) ) ) ) ) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_analoaf(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_analoaf(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_analoaf(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_analoaf(A))) =>  ~ ( ( ~ (B=D)  &  (r2_analoaf(k2_analoaf(A), D, B, B, E) &  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_analoaf(A))) =>  ~ ( (r2_analoaf(k2_analoaf(A), C, B, B, F) & r2_analoaf(k2_analoaf(A), C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_analoaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  ( (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (v1_xreal_0(E) &  (? [F] :  (v1_xreal_0(F) & k3_rlvect_1(A, k1_rlvect_1(A, B, E), k1_rlvect_1(A, C, F))=D) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_analoaf(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_analoaf(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_analoaf(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_analoaf(A))) =>  ~ ( ( ~ (r2_analoaf(k2_analoaf(A), B, C, D, E))  &  ( ~ (r2_analoaf(k2_analoaf(A), B, C, E, D))  &  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_analoaf(A))) =>  ~ ( ( (r2_analoaf(k2_analoaf(A), B, C, B, F) | r2_analoaf(k2_analoaf(A), B, C, F, B))  &  (r2_analoaf(k2_analoaf(A), D, E, D, F) | r2_analoaf(k2_analoaf(A), D, E, F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_analoaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_analoaf(A))  =>  (v2_analoaf(A) <=>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (r2_analoaf(A, B, C, D, D) &  ( (r2_analoaf(A, B, C, C, B) => B=C)  &  ( ( (r2_analoaf(A, B, C, F, G) & r2_analoaf(A, B, C, H, I))  =>  (B=C | r2_analoaf(A, F, G, H, I)) )  &  ( (r2_analoaf(A, B, C, D, E) => r2_analoaf(A, C, B, E, D))  &  ( (r2_analoaf(A, B, C, C, D) => r2_analoaf(A, B, C, B, D))  &  ~ ( (r2_analoaf(A, B, C, B, D) &  ( ~ (r2_analoaf(A, B, C, C, D))  &  ~ (r2_analoaf(A, B, D, D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  ( ~ (r2_analoaf(A, B, C, D, E))  &  ~ (r2_analoaf(A, B, C, E, D)) ) ) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (r2_analoaf(A, B, C, D, E) &  (r2_analoaf(A, B, D, C, E) &  ~ (C=E) ) ) ) ) ) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (B=D)  &  (r2_analoaf(A, D, B, B, E) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r2_analoaf(A, C, B, B, F) & r2_analoaf(A, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_analoaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_analoaf(A))  =>  ( ( ~ ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => B=C) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (r2_analoaf(A, B, C, D, D) &  ( (r2_analoaf(A, B, C, C, B) => B=C)  &  ( ( (r2_analoaf(A, B, C, F, G) & r2_analoaf(A, B, C, H, I))  =>  (B=C | r2_analoaf(A, F, G, H, I)) )  &  ( (r2_analoaf(A, B, C, D, E) => r2_analoaf(A, C, B, E, D))  &  ( (r2_analoaf(A, B, C, C, D) => r2_analoaf(A, B, C, B, D))  &  ~ ( (r2_analoaf(A, B, C, B, D) &  ( ~ (r2_analoaf(A, B, C, C, D))  &  ~ (r2_analoaf(A, B, D, D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  ( ~ (r2_analoaf(A, B, C, D, E))  &  ~ (r2_analoaf(A, B, C, E, D)) ) ) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (r2_analoaf(A, B, C, D, E) &  (r2_analoaf(A, B, D, C, E) &  ~ (C=E) ) ) ) ) ) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (B=D)  &  (r2_analoaf(A, D, B, B, E) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r2_analoaf(A, C, B, B, F) & r2_analoaf(A, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  <=>  ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) ) ) ) ) ).
fof(t26_analoaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  ( (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (k3_rlvect_1(A, k1_rlvect_1(A, B, D), k1_rlvect_1(A, C, E))=k4_struct_0(A) =>  (D=k5_numbers & E=k5_numbers) ) ) ) ) ) ) ) ) )  =>  ( ~ (v7_struct_0(k2_analoaf(A)))  &  (v2_analoaf(k2_analoaf(A)) & l1_analoaf(k2_analoaf(A))) ) ) ) ) ).
fof(d6_analoaf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (v3_analoaf(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (r2_analoaf(A, B, C, D, E))  &  ( ~ (r2_analoaf(A, B, C, E, D))  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( ( (r2_analoaf(A, B, C, B, F) | r2_analoaf(A, B, C, F, B))  &  (r2_analoaf(A, D, E, D, F) | r2_analoaf(A, D, E, F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_analoaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_analoaf(A))  =>  ( ( ~ ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => B=C) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (r2_analoaf(A, B, C, D, D) &  ( (r2_analoaf(A, B, C, C, B) => B=C)  &  ( ( (r2_analoaf(A, B, C, F, G) & r2_analoaf(A, B, C, H, I))  =>  (B=C | r2_analoaf(A, F, G, H, I)) )  &  ( (r2_analoaf(A, B, C, D, E) => r2_analoaf(A, C, B, E, D))  &  ( (r2_analoaf(A, B, C, C, D) => r2_analoaf(A, B, C, B, D))  &  ~ ( (r2_analoaf(A, B, C, B, D) &  ( ~ (r2_analoaf(A, B, C, C, D))  &  ~ (r2_analoaf(A, B, D, D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  ( ~ (r2_analoaf(A, B, C, D, E))  &  ~ (r2_analoaf(A, B, C, E, D)) ) ) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (r2_analoaf(A, B, C, D, E) &  (r2_analoaf(A, B, D, C, E) &  ~ (C=E) ) ) ) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (B=D)  &  (r2_analoaf(A, D, B, B, E) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r2_analoaf(A, C, B, B, F) & r2_analoaf(A, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (r2_analoaf(A, B, C, D, E))  &  ( ~ (r2_analoaf(A, B, C, E, D))  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( ( (r2_analoaf(A, B, C, B, F) | r2_analoaf(A, B, C, F, B))  &  (r2_analoaf(A, D, E, D, F) | r2_analoaf(A, D, E, F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  <=>  ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) &  (v3_analoaf(A) & l1_analoaf(A)) ) ) ) ) ) ).
fof(t28_analoaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  ( (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  ( (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (k3_rlvect_1(A, k1_rlvect_1(A, B, D), k1_rlvect_1(A, C, E))=k4_struct_0(A) =>  (D=k5_numbers & E=k5_numbers) ) ) ) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (v1_xreal_0(E) &  (? [F] :  (v1_xreal_0(F) & D=k3_rlvect_1(A, k1_rlvect_1(A, B, E), k1_rlvect_1(A, C, F))) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v7_struct_0(k2_analoaf(A)))  &  (v2_analoaf(k2_analoaf(A)) &  (v3_analoaf(k2_analoaf(A)) & l1_analoaf(k2_analoaf(A))) ) ) ) ) ) ).
fof(abstractness_v1_analoaf, axiom,  (! [A] :  (l1_analoaf(A) =>  (v1_analoaf(A) => A=g1_analoaf(u1_struct_0(A), u1_analoaf(A))) ) ) ).
fof(dt_l1_analoaf, axiom,  (! [A] :  (l1_analoaf(A) => l1_struct_0(A)) ) ).
fof(existence_l1_analoaf, axiom,  (? [A] : l1_analoaf(A)) ).
fof(dt_g1_analoaf, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k2_zfmisc_1(A, A)))) =>  (v1_analoaf(g1_analoaf(A, B)) & l1_analoaf(g1_analoaf(A, B))) ) ) ).
fof(free_g1_analoaf, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k2_zfmisc_1(A, A)))) =>  (! [C, D] :  (g1_analoaf(A, B)=g1_analoaf(C, D) =>  (A=C & B=D) ) ) ) ) ).
fof(dt_u1_analoaf, axiom,  (! [A] :  (l1_analoaf(A) => m1_subset_1(u1_analoaf(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))))) ) ).
fof(dt_k1_analoaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  => m1_subset_1(k1_analoaf(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))))) ) ).
fof(dt_k2_analoaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (v1_analoaf(k2_analoaf(A)) & l1_analoaf(k2_analoaf(A))) ) ) ).
fof(fc1_analort, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  ( ~ (v2_struct_0(k5_analort(A, B, C)))  & v1_analmetr(k5_analort(A, B, C))) ) ) ).
fof(fc2_analort, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  ( ~ (v2_struct_0(k6_analort(A, B, C)))  & v1_analmetr(k6_analort(A, B, C))) ) ) ).
fof(d1_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_analort(A, B, C, D)=k3_rlvect_1(A, k1_rlvect_1(A, B, k2_geomtrap(A, B, C, D)), k1_rlvect_1(A, C, k4_xcmplx_0(k3_geomtrap(A, B, C, D))))) ) ) ) ) ) ) ) ).
fof(t1_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_analmetr(A, D, E) => k1_analort(A, D, E, k3_rlvect_1(A, B, C))=k3_rlvect_1(A, k1_analort(A, D, E, B), k1_analort(A, D, E, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xreal_0(E) =>  (r1_analmetr(A, C, D) => k1_analort(A, C, D, k1_rlvect_1(A, B, E))=k1_rlvect_1(A, k1_analort(A, C, D, B), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_analmetr(A, B, C) => k1_analort(A, B, C, k4_struct_0(A))=k4_struct_0(A)) ) ) ) ) ) ) ).
fof(t4_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_analmetr(A, C, D) => k1_analort(A, C, D, k4_algstr_0(A, B))=k4_algstr_0(A, k1_analort(A, C, D, B))) ) ) ) ) ) ) ) ) ).
fof(t5_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_analmetr(A, D, E) => k1_analort(A, D, E, k5_algstr_0(A, B, C))=k5_algstr_0(A, k1_analort(A, D, E, B), k1_analort(A, D, E, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_analmetr(A, D, E) & k1_analort(A, D, E, B)=k1_analort(A, D, E, C))  => B=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_analmetr(A, C, D) => k1_analort(A, C, D, k1_analort(A, C, D, B))=B) ) ) ) ) ) ) ) ) ).
fof(t8_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r1_analmetr(A, C, D) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ (B=k1_analort(A, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_analort(A, B, C, D)=k3_rlvect_1(A, k1_rlvect_1(A, B, k3_geomtrap(A, B, C, D)), k1_rlvect_1(A, C, k4_xcmplx_0(k2_geomtrap(A, B, C, D))))) ) ) ) ) ) ) ) ).
fof(t9_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_analmetr(A, C, D) => k2_analort(A, C, D, k4_algstr_0(A, B))=k4_algstr_0(A, k2_analort(A, C, D, B))) ) ) ) ) ) ) ) ) ).
fof(t10_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_analmetr(A, D, E) => k2_analort(A, D, E, k3_rlvect_1(A, B, C))=k3_rlvect_1(A, k2_analort(A, D, E, B), k2_analort(A, D, E, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_analmetr(A, D, E) => k2_analort(A, D, E, k5_algstr_0(A, B, C))=k5_algstr_0(A, k2_analort(A, D, E, B), k2_analort(A, D, E, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xreal_0(E) =>  (r1_analmetr(A, C, D) => k2_analort(A, C, D, k1_rlvect_1(A, B, E))=k1_rlvect_1(A, k2_analort(A, C, D, B), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_analmetr(A, D, E) & k2_analort(A, D, E, B)=k2_analort(A, D, E, C))  => B=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_analmetr(A, C, D) => k2_analort(A, C, D, k2_analort(A, C, D, B))=k4_algstr_0(A, B)) ) ) ) ) ) ) ) ) ).
fof(t15_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r1_analmetr(A, C, D) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ (k2_analort(A, C, D, E)=B) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r1_analort(A, B, C, D, E, F, G) <=> r1_analoaf(A, k2_analort(A, B, C, D), k2_analort(A, B, C, E), F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r2_analort(A, B, C, D, E, F, G) <=> r1_analoaf(A, k1_analort(A, B, C, D), k1_analort(A, B, C, E), F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r1_analmetr(A, F, G) & r1_analoaf(A, B, D, C, E))  => r1_analoaf(A, k2_analort(A, F, G, B), k2_analort(A, F, G, D), k2_analort(A, F, G, C), k2_analort(A, F, G, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r1_analmetr(A, F, G) & r1_analoaf(A, B, D, C, E))  => r1_analoaf(A, k1_analort(A, F, G, B), k1_analort(A, F, G, D), k1_analort(A, F, G, C), k1_analort(A, F, G, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r1_analmetr(A, F, G) & r1_analort(A, F, G, B, C, D, E))  => r1_analort(A, F, G, D, E, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r1_analmetr(A, F, G) & r2_analort(A, F, G, B, C, D, E))  => r2_analort(A, F, G, D, E, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => r1_analort(A, E, F, B, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => r2_analort(A, E, F, B, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => r1_analort(A, E, F, B, C, D, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => r2_analort(A, E, F, B, C, D, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_analmetr(A, D, E) => r3_analmetr(A, B, C, k2_analort(A, D, E, B), k2_analort(A, D, E, C), D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => r1_analort(A, D, E, B, C, k2_analort(A, D, E, B), k2_analort(A, D, E, C))) ) ) ) ) ) ) ) ) ) ).
fof(t26_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => r2_analort(A, D, E, B, C, k1_analort(A, D, E, B), k1_analort(A, D, E, C))) ) ) ) ) ) ) ) ) ) ).
fof(t27_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r1_analmetr(A, F, G) =>  (r1_analoaf(A, B, D, C, E) <=>  (? [H] :  (m1_subset_1(H, u1_struct_0(A)) &  (? [I] :  (m1_subset_1(I, u1_struct_0(A)) &  ( ~ (H=I)  &  (r1_analort(A, F, G, H, I, B, D) & r1_analort(A, F, G, H, I, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r1_analmetr(A, F, G) =>  (r1_analoaf(A, B, D, C, E) <=>  (? [H] :  (m1_subset_1(H, u1_struct_0(A)) &  (? [I] :  (m1_subset_1(I, u1_struct_0(A)) &  ( ~ (H=I)  &  (r2_analort(A, F, G, H, I, B, D) & r2_analort(A, F, G, H, I, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r1_analmetr(A, F, G) =>  (r3_analmetr(A, B, D, C, E, F, G) <=>  (r1_analort(A, F, G, B, D, C, E) | r1_analort(A, F, G, B, D, E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( (r1_analmetr(A, F, G) &  (r1_analort(A, F, G, B, D, C, E) &  (r1_analort(A, F, G, B, D, E, C) &  ( ~ (B=D)  &  ~ (C=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( (r1_analmetr(A, F, G) &  (r2_analort(A, F, G, B, D, C, E) &  (r2_analort(A, F, G, B, D, E, C) &  ( ~ (B=D)  &  ~ (C=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ~ ( (r1_analmetr(A, G, H) &  (r1_analort(A, G, H, B, D, C, E) &  (r1_analort(A, G, H, B, D, C, F) &  ( ~ (r1_analort(A, G, H, B, D, E, F))  &  ~ (r1_analort(A, G, H, B, D, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ~ ( (r1_analmetr(A, G, H) &  (r2_analort(A, G, H, B, D, C, E) &  (r2_analort(A, G, H, B, D, C, F) &  ( ~ (r2_analort(A, G, H, B, D, E, F))  &  ~ (r2_analort(A, G, H, B, D, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r1_analort(A, F, G, B, D, C, E) => r1_analort(A, F, G, D, B, E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r2_analort(A, F, G, B, D, C, E) => r2_analort(A, F, G, D, B, E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ( (r1_analmetr(A, G, H) &  (r1_analort(A, G, H, B, D, C, E) & r1_analort(A, G, H, B, D, E, F)) )  => r1_analort(A, G, H, B, D, C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ( (r1_analmetr(A, G, H) &  (r2_analort(A, G, H, B, D, C, E) & r2_analort(A, G, H, B, D, E, F)) )  => r2_analort(A, G, H, B, D, C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_analmetr(A, B, C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  ( ~ (F=G)  & r1_analort(A, B, C, F, G, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_analmetr(A, B, C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  ( ~ (F=G)  & r2_analort(A, B, C, F, G, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_analmetr(A, B, C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  ( ~ (F=G)  & r1_analort(A, B, C, D, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_analmetr(A, B, C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  ( ~ (F=G)  & r2_analort(A, B, C, D, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  ~ ( (r1_analmetr(A, J, K) &  (r1_analort(A, J, K, B, C, E, F) &  (r1_analort(A, J, K, H, I, E, F) &  (r1_analort(A, J, K, H, I, D, G) &  ( ~ (H=I)  &  ( ~ (E=F)  &  ~ (r1_analort(A, J, K, B, C, D, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  ~ ( (r1_analmetr(A, J, K) &  (r2_analort(A, J, K, B, C, E, F) &  (r2_analort(A, J, K, H, I, E, F) &  (r2_analort(A, J, K, H, I, D, G) &  ( ~ (H=I)  &  ( ~ (E=F)  &  ~ (r2_analort(A, J, K, B, C, D, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  ~ ( (r1_analmetr(A, J, K) &  (r1_analort(A, J, K, B, C, E, F) &  (r1_analort(A, J, K, E, F, H, I) &  (r1_analort(A, J, K, D, G, H, I) &  ( ~ (r1_analort(A, J, K, B, C, D, G))  &  ( ~ (E=F)  &  ~ (H=I) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  ~ ( (r1_analmetr(A, J, K) &  (r2_analort(A, J, K, B, C, E, F) &  (r2_analort(A, J, K, E, F, H, I) &  (r2_analort(A, J, K, D, G, H, I) &  ( ~ (r2_analort(A, J, K, B, C, D, G))  &  ( ~ (E=F)  &  ~ (H=I) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  ~ ( (r1_analmetr(A, J, K) &  (r1_analort(A, J, K, B, C, E, F) &  (r1_analort(A, J, K, E, F, H, I) &  (r1_analort(A, J, K, B, C, D, G) &  ( ~ (r1_analort(A, J, K, D, G, H, I))  &  ( ~ (E=F)  &  ~ (B=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  ~ ( (r1_analmetr(A, J, K) &  (r2_analort(A, J, K, B, C, E, F) &  (r2_analort(A, J, K, E, F, H, I) &  (r2_analort(A, J, K, B, C, D, G) &  ( ~ (r2_analort(A, J, K, D, G, H, I))  &  ( ~ (E=F)  &  ~ (B=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_analmetr(A, B, C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ~ ( ( ~ (r1_analort(A, B, C, D, G, E, F))  &  ( ~ (r1_analort(A, B, C, D, G, F, E))  &  (r1_analort(A, B, C, F, H, F, E) &  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  ~ ( ( (r1_analort(A, B, C, D, G, D, I) | r1_analort(A, B, C, D, G, I, D))  &  (r1_analort(A, B, C, F, H, F, I) | r1_analort(A, B, C, F, H, I, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r1_analmetr(A, B, C) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r1_analort(A, B, C, D, E, D, F) &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ~ ( (r1_analort(A, B, C, G, H, D, E) &  ( ~ ( ( ~ (r1_analort(A, B, C, G, H, D, F))  &  ~ (r1_analort(A, B, C, G, H, F, D)) ) )  &  ~ (G=H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_analmetr(A, B, C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ~ ( ( ~ (r2_analort(A, B, C, D, G, E, F))  &  ( ~ (r2_analort(A, B, C, D, G, F, E))  &  (r2_analort(A, B, C, F, H, F, E) &  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  ~ ( ( (r2_analort(A, B, C, D, G, D, I) | r2_analort(A, B, C, D, G, I, D))  &  (r2_analort(A, B, C, F, H, F, I) | r2_analort(A, B, C, F, H, I, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r1_analmetr(A, B, C) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r2_analort(A, B, C, D, E, D, F) &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ~ ( (r2_analort(A, B, C, G, H, D, E) &  ( ~ ( ( ~ (r2_analort(A, B, C, G, H, D, F))  &  ~ (r2_analort(A, B, C, G, H, F, D)) ) )  &  ~ (G=H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) =>  (D=k3_analort(A, B, C) <=>  (! [E] :  (! [F] :  (r2_hidden(k4_tarski(E, F), D) <=>  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  (? [H] :  (m1_subset_1(H, u1_struct_0(A)) &  (? [I] :  (m1_subset_1(I, u1_struct_0(A)) &  (? [J] :  (m1_subset_1(J, u1_struct_0(A)) &  (E=k4_tarski(G, H) &  (F=k4_tarski(I, J) & r1_analort(A, B, C, G, H, I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) =>  (D=k4_analort(A, B, C) <=>  (! [E] :  (! [F] :  (r2_hidden(k4_tarski(E, F), D) <=>  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  (? [H] :  (m1_subset_1(H, u1_struct_0(A)) &  (? [I] :  (m1_subset_1(I, u1_struct_0(A)) &  (? [J] :  (m1_subset_1(J, u1_struct_0(A)) &  (E=k4_tarski(G, H) &  (F=k4_tarski(I, J) & r2_analort(A, B, C, G, H, I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k5_analort(A, B, C)=g1_analmetr(u1_struct_0(A), k3_analort(A, B, C))) ) ) ) ) ) ).
fof(d8_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k6_analort(A, B, C)=g1_analmetr(u1_struct_0(A), k4_analort(A, B, C))) ) ) ) ) ) ).
fof(t52_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_analort(A, B, C))) <=> m1_subset_1(D, u1_struct_0(A))) ) ) ) ) ) ) ) ).
fof(t53_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k6_analort(A, B, C))) <=> m1_subset_1(D, u1_struct_0(A))) ) ) ) ) ) ) ) ).
fof(t54_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k5_analort(A, F, G))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k5_analort(A, F, G))) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(k5_analort(A, F, G))) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(k5_analort(A, F, G))) =>  ( (B=H &  (D=I &  (C=J & E=K) ) )  =>  (r4_analmetr(k5_analort(A, F, G), H, I, J, K) <=> r1_analort(A, F, G, B, D, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_analort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k6_analort(A, F, G))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k6_analort(A, F, G))) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(k6_analort(A, F, G))) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(k6_analort(A, F, G))) =>  ( (B=H &  (D=I &  (C=J & E=K) ) )  =>  (r4_analmetr(k6_analort(A, F, G), H, I, J, K) <=> r2_analort(A, F, G, B, D, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_analort, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, u1_struct_0(A))) ) )  => m1_subset_1(k1_analort(A, B, C, D), u1_struct_0(A))) ) ).
fof(dt_k2_analort, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, u1_struct_0(A))) ) )  => m1_subset_1(k2_analort(A, B, C, D), u1_struct_0(A))) ) ).
fof(dt_k3_analort, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k3_analort(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))))) ) ).
fof(dt_k4_analort, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k4_analort(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))))) ) ).
fof(dt_k5_analort, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (v1_analmetr(k5_analort(A, B, C)) & l1_analmetr(k5_analort(A, B, C))) ) ) ).
fof(dt_k6_analort, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (v1_analmetr(k6_analort(A, B, C)) & l1_analmetr(k6_analort(A, B, C))) ) ) ).
fof(rc1_anproj_1, axiom,  (? [A] :  (l1_rlvect_1(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v12_algstr_0(A) &  (v13_algstr_0(A) &  (v1_rlvect_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & v9_rlvect_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_anproj_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  ~ (v1_xboole_0(k3_anproj_1(A))) ) ) ).
fof(fc2_anproj_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k5_anproj_1(A)))  & v1_collsp(k5_anproj_1(A))) ) ) ).
fof(d1_anproj_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_anproj_1(A, B, C) <=>  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (k1_rlvect_1(A, B, D)=k1_rlvect_1(A, C, E) &  ( ~ (D=k5_numbers)  &  ~ (E=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_anproj_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_anproj_1(A, B, C) <=>  (? [D] :  (v1_xreal_0(D) &  ( ~ (D=k5_numbers)  & B=k1_rlvect_1(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t2_anproj_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_anproj_1(A, B, D) & r1_anproj_1(A, D, C))  => r1_anproj_1(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t3_anproj_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (r1_anproj_1(A, B, k4_struct_0(A)) <=> B=k4_struct_0(A)) ) ) ) ) ).
fof(d2_anproj_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_anproj_1(A, B, C, D) <=>  (? [E] :  (v1_xreal_0(E) &  (? [F] :  (v1_xreal_0(F) &  (? [G] :  (v1_xreal_0(G) &  (k3_rlvect_1(A, k3_rlvect_1(A, k1_rlvect_1(A, B, E), k1_rlvect_1(A, C, F)), k1_rlvect_1(A, D, G))=k4_struct_0(A) &  ~ ( (E=k5_numbers &  (F=k5_numbers & G=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_anproj_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r1_anproj_1(A, B, E) &  (r1_anproj_1(A, C, F) &  (r1_anproj_1(A, D, G) & r2_anproj_1(A, B, C, D)) ) )  => r2_anproj_1(A, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_anproj_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_anproj_1(A, B, C, D) =>  (r2_anproj_1(A, B, D, C) &  (r2_anproj_1(A, C, B, D) &  (r2_anproj_1(A, D, C, B) &  (r2_anproj_1(A, D, B, C) & r2_anproj_1(A, C, D, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_anproj_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (v9_struct_0(C, A))  &  ( ~ (v9_struct_0(D, A))  &  ( ~ (r1_anproj_1(A, C, D))  &  ~ ( (r2_anproj_1(A, C, D, B) <=>  (? [E] :  (v1_xreal_0(E) &  (? [F] :  (v1_xreal_0(F) & B=k3_rlvect_1(A, k1_rlvect_1(A, C, E), k1_rlvect_1(A, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_anproj_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (k3_rlvect_1(A, k1_rlvect_1(A, B, D), k1_rlvect_1(A, C, E))=k3_rlvect_1(A, k1_rlvect_1(A, B, F), k1_rlvect_1(A, C, G)) =>  (r1_anproj_1(A, B, C) |  (v9_struct_0(B, A) |  (v9_struct_0(C, A) |  (D=F & E=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_anproj_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  (! [J] :  (v1_xreal_0(J) =>  (k3_rlvect_1(A, k3_rlvect_1(A, k1_rlvect_1(A, B, E), k1_rlvect_1(A, C, F)), k1_rlvect_1(A, D, G))=k3_rlvect_1(A, k3_rlvect_1(A, k1_rlvect_1(A, B, H), k1_rlvect_1(A, C, I)), k1_rlvect_1(A, D, J)) =>  (r2_anproj_1(A, B, C, D) |  (E=H &  (F=I & G=J) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_anproj_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  ~ ( ( ~ (r1_anproj_1(A, B, C))  &  (D=k3_rlvect_1(A, k1_rlvect_1(A, B, F), k1_rlvect_1(A, C, G)) &  (E=k3_rlvect_1(A, k1_rlvect_1(A, B, H), k1_rlvect_1(A, C, I)) &  (k6_xcmplx_0(k3_xcmplx_0(F, I), k3_xcmplx_0(H, G))=k5_numbers &  ( ~ (v9_struct_0(B, A))  &  ( ~ (v9_struct_0(C, A))  &  ( ~ (r1_anproj_1(A, D, E))  &  ( ~ (D=k4_struct_0(A))  &  ~ (E=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_anproj_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ~ ( ( ~ (B=k4_struct_0(A))  &  ( ~ (C=k4_struct_0(A))  &  ~ (D=k4_struct_0(A)) ) ) )  => r2_anproj_1(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t11_anproj_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ~ ( ( ~ (r1_anproj_1(A, B, C))  &  ( ~ (r1_anproj_1(A, D, B))  &  ~ (r1_anproj_1(A, C, D)) ) ) )  => r2_anproj_1(A, D, B, C)) ) ) ) ) ) ) ) ) ).
fof(t12_anproj_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ~ (r2_anproj_1(A, B, C, D))  =>  ( ~ (v9_struct_0(B, A))  &  ( ~ (v9_struct_0(C, A))  &  ( ~ (v9_struct_0(D, A))  &  ( ~ (r1_anproj_1(A, B, C))  &  ( ~ (r1_anproj_1(A, C, D))  &  ~ (r1_anproj_1(A, D, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_anproj_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k3_rlvect_1(A, B, C)=k4_struct_0(A) => r1_anproj_1(A, B, C)) ) ) ) ) ) ) ).
fof(t14_anproj_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_anproj_1(A, B, C, D) &  (r2_anproj_1(A, B, C, E) & r2_anproj_1(A, B, C, F)) )  =>  (r1_anproj_1(A, B, C) |  (v9_struct_0(B, A) |  (v9_struct_0(C, A) | r2_anproj_1(A, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_anproj_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( ( ~ (r2_anproj_1(A, D, E, F))  &  (r2_anproj_1(A, D, E, B) &  (r2_anproj_1(A, E, F, C) &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( (r2_anproj_1(A, D, F, G) &  (r2_anproj_1(A, B, C, G) &  ~ (v9_struct_0(G, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_anproj_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (r1_anproj_1(A, B, C))  &  ( ~ (v9_struct_0(B, A))  &  ( ~ (v9_struct_0(C, A))  &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( ( ~ (v9_struct_0(F, A))  &  (r2_anproj_1(A, D, E, F) &  ( ~ (r1_anproj_1(A, D, F))  &  ~ (r1_anproj_1(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_anproj_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ~ (r2_anproj_1(A, B, C, D))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( ( ~ (v9_struct_0(E, A))  &  ( ~ (v9_struct_0(F, A))  &  ( ~ (r1_anproj_1(A, E, F))  &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( ( ~ (v9_struct_0(G, A))  &  ~ (r2_anproj_1(A, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_anproj_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ~ ( (r2_anproj_1(A, E, F, C) &  (r2_anproj_1(A, G, H, C) &  (r2_anproj_1(A, E, G, B) &  (r2_anproj_1(A, F, H, B) &  (r2_anproj_1(A, E, H, D) &  (r2_anproj_1(A, F, G, D) &  (r2_anproj_1(A, B, C, D) &  ( ~ (v9_struct_0(B, A))  &  ( ~ (v9_struct_0(C, A))  &  ( ~ (v9_struct_0(D, A))  &  ( ~ (r2_anproj_1(A, E, F, H))  &  ( ~ (r2_anproj_1(A, E, F, G))  &  ( ~ (r2_anproj_1(A, E, G, H))  &  ~ (r2_anproj_1(A, F, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_anproj_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, k8_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_struct_0(A), k8_struct_0(A))))) ) )  =>  (B=k1_anproj_1(A) <=>  (! [C] :  (! [D] :  (r2_hidden(k4_tarski(C, D), B) <=>  (r2_hidden(C, k8_struct_0(A)) &  (r2_hidden(D, k8_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (C=E &  (D=F & r1_anproj_1(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_anproj_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(B, C), k1_anproj_1(A)) =>  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) ) ) ) ) ) ).
fof(t20_anproj_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_hidden(k4_tarski(B, C), k1_anproj_1(A)) <=>  ( ~ (v9_struct_0(B, A))  &  ( ~ (v9_struct_0(C, A))  & r1_anproj_1(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(d4_anproj_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_anproj_1(A, B)=k6_eqrel_1(k8_struct_0(A), k8_struct_0(A), k1_anproj_1(A), B)) ) ) ) ).
fof(d5_anproj_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (B=k3_anproj_1(A) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k8_struct_0(A)))) &  (C=k8_eqrel_1(k8_struct_0(A), k1_anproj_1(A)) & B=C) ) ) ) ) ) ) ).
fof(t21_anproj_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (v9_struct_0(B, A))  => m1_subset_1(k2_anproj_1(A, B), k3_anproj_1(A))) ) ) ) ) ).
fof(t22_anproj_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (v9_struct_0(B, A))  &  ( ~ (v9_struct_0(C, A))  &  ~ ( (k2_anproj_1(A, B)=k2_anproj_1(A, C) <=> r1_anproj_1(A, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_anproj_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_collsp(B, k3_anproj_1(A)) =>  (B=k4_anproj_1(A) <=>  (! [C] :  (! [D] :  (! [E] :  (r2_hidden(k3_xtuple_0(C, D, E), B) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  (? [H] :  (m1_subset_1(H, u1_struct_0(A)) &  (C=k2_anproj_1(A, F) &  (D=k2_anproj_1(A, G) &  (E=k2_anproj_1(A, H) &  ( ~ (v9_struct_0(F, A))  &  ( ~ (v9_struct_0(G, A))  &  ( ~ (v9_struct_0(H, A))  & r2_anproj_1(A, F, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_anproj_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  => k5_anproj_1(A)=g1_collsp(k3_anproj_1(A), k4_anproj_1(A))) ) ).
fof(t23_anproj_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (u1_struct_0(k5_anproj_1(A))=k3_anproj_1(A) & u1_collsp(k5_anproj_1(A))=k4_anproj_1(A)) ) ) ).
fof(t24_anproj_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v7_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v5_rlvect_1(D) &  (v6_rlvect_1(D) &  (v7_rlvect_1(D) &  (v8_rlvect_1(D) & l1_rlvect_1(D)) ) ) ) ) ) ) ) ) )  =>  ~ ( (r2_hidden(k3_xtuple_0(A, B, C), u1_collsp(k5_anproj_1(D))) &  (! [E] :  (m1_subset_1(E, u1_struct_0(D)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(D)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(D)) =>  ~ ( (A=k2_anproj_1(D, E) &  (B=k2_anproj_1(D, F) &  (C=k2_anproj_1(D, G) &  ( ~ (v9_struct_0(E, D))  &  ( ~ (v9_struct_0(F, D))  &  ( ~ (v9_struct_0(G, D))  & r2_anproj_1(D, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_anproj_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (v9_struct_0(B, A))  &  ( ~ (v9_struct_0(C, A))  &  ( ~ (v9_struct_0(D, A))  &  ~ ( (r2_hidden(k3_xtuple_0(k2_anproj_1(A, B), k2_anproj_1(A, C), k2_anproj_1(A, D)), u1_collsp(k5_anproj_1(A))) <=> r2_anproj_1(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_anproj_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) ) )  =>  (m1_subset_1(A, u1_struct_0(k5_anproj_1(B))) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(B)) &  ( ~ (v9_struct_0(C, B))  & A=k2_anproj_1(B, C)) ) ) ) ) ) ) ).
fof(symmetry_r1_anproj_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r1_anproj_1(A, B, C) => r1_anproj_1(A, C, B)) ) ) ).
fof(reflexivity_r1_anproj_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => r1_anproj_1(A, B, B)) ) ).
fof(dt_k1_anproj_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (v3_relat_2(k1_anproj_1(A)) &  (v8_relat_2(k1_anproj_1(A)) &  (v1_partfun1(k1_anproj_1(A), k8_struct_0(A)) & m1_subset_1(k1_anproj_1(A), k1_zfmisc_1(k2_zfmisc_1(k8_struct_0(A), k8_struct_0(A))))) ) ) ) ) ).
fof(dt_k2_anproj_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k2_anproj_1(A, B), k1_zfmisc_1(k8_struct_0(A)))) ) ).
fof(dt_k4_anproj_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  => m1_collsp(k4_anproj_1(A), k3_anproj_1(A))) ) ).
fof(dt_k5_anproj_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (v1_collsp(k5_anproj_1(A)) & l1_collsp(k5_anproj_1(A))) ) ) ).
fof(rc1_anproj_2, axiom,  (? [A] :  (l1_rlvect_1(A) &  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & v1_anproj_2(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_anproj_2, axiom,  (! [A] :  (l1_rlvect_1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & v1_anproj_2(A)) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) & v8_rlvect_1(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (v1_collsp(k5_anproj_1(A)) &  (v2_collsp(k5_anproj_1(A)) & v3_collsp(k5_anproj_1(A))) ) ) ) ).
fof(fc2_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (v1_collsp(k5_anproj_1(A)) & v2_anproj_2(k5_anproj_1(A))) ) ) ).
fof(fc3_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v1_anproj_2(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (v1_collsp(k5_anproj_1(A)) & v4_collsp(k5_anproj_1(A))) ) ) ).
fof(fc4_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v1_anproj_2(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (v1_collsp(k5_anproj_1(A)) & v3_anproj_2(k5_anproj_1(A))) ) ) ).
fof(rc2_anproj_2, axiom,  (? [A] :  (l1_collsp(A) &  ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) & v3_anproj_2(A)) ) ) ) ) ) ) ).
fof(fc5_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v1_anproj_2(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (v1_collsp(k5_anproj_1(A)) &  (v4_anproj_2(k5_anproj_1(A)) &  (v5_anproj_2(k5_anproj_1(A)) & v6_anproj_2(k5_anproj_1(A))) ) ) ) ) ).
fof(rc3_anproj_2, axiom,  (? [A] :  (l1_collsp(A) &  ( ~ (v2_struct_0(A))  &  (v1_collsp(A) &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) &  (v4_anproj_2(A) &  (v5_anproj_2(A) &  (v6_anproj_2(A) & v7_anproj_2(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc4_anproj_2, axiom,  (? [A] :  (l1_collsp(A) &  ( ~ (v2_struct_0(A))  &  (v1_collsp(A) &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) &  (v4_anproj_2(A) &  (v5_anproj_2(A) &  (v6_anproj_2(A) &  ( ~ (v7_anproj_2(A))  & v8_anproj_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (k3_rlvect_1(A, k3_rlvect_1(A, k1_rlvect_1(A, B, E), k1_rlvect_1(A, C, F)), k1_rlvect_1(A, D, G))=k4_struct_0(A) =>  (E=k5_numbers &  (F=k5_numbers & G=k5_numbers) ) ) ) ) ) ) ) )  =>  ( ~ (v9_struct_0(B, A))  &  ( ~ (v9_struct_0(C, A))  &  ( ~ (v9_struct_0(D, A))  &  ( ~ (r2_anproj_1(A, B, C, D))  &  ~ (r1_anproj_1(A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  (k3_rlvect_1(A, k3_rlvect_1(A, k3_rlvect_1(A, k1_rlvect_1(A, B, F), k1_rlvect_1(A, C, G)), k1_rlvect_1(A, D, H)), k1_rlvect_1(A, E, I))=k4_struct_0(A) =>  (F=k5_numbers &  (G=k5_numbers &  (H=k5_numbers & I=k5_numbers) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v9_struct_0(B, A))  &  ( ~ (v9_struct_0(C, A))  &  ( ~ (r1_anproj_1(A, B, C))  &  ( ~ (v9_struct_0(D, A))  &  ( ~ (v9_struct_0(E, A))  &  ( ~ (r1_anproj_1(A, D, E))  &  ( ~ (r2_anproj_1(A, B, C, D))  &  ~ (r2_anproj_1(A, D, E, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (? [F] :  (v1_xreal_0(F) &  (? [G] :  (v1_xreal_0(G) &  (? [H] :  (v1_xreal_0(H) & E=k3_rlvect_1(A, k3_rlvect_1(A, k1_rlvect_1(A, B, F), k1_rlvect_1(A, C, G)), k1_rlvect_1(A, D, H))) ) ) ) ) ) ) )  &  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (k3_rlvect_1(A, k3_rlvect_1(A, k1_rlvect_1(A, B, E), k1_rlvect_1(A, C, F)), k1_rlvect_1(A, D, G))=k4_struct_0(A) =>  (E=k5_numbers &  (F=k5_numbers & G=k5_numbers) ) ) ) ) ) ) ) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  (r2_anproj_1(A, B, C, G) &  (r2_anproj_1(A, E, F, G) &  ~ (v9_struct_0(G, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( ( (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (? [G] :  (v1_xreal_0(G) &  (? [H] :  (v1_xreal_0(H) &  (? [I] :  (v1_xreal_0(I) &  (? [J] :  (v1_xreal_0(J) & F=k3_rlvect_1(A, k3_rlvect_1(A, k3_rlvect_1(A, k1_rlvect_1(A, B, G), k1_rlvect_1(A, C, H)), k1_rlvect_1(A, D, I)), k1_rlvect_1(A, E, J))) ) ) ) ) ) ) ) ) )  &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  (k3_rlvect_1(A, k3_rlvect_1(A, k3_rlvect_1(A, k1_rlvect_1(A, B, F), k1_rlvect_1(A, C, G)), k1_rlvect_1(A, D, H)), k1_rlvect_1(A, E, I))=k4_struct_0(A) =>  (F=k5_numbers &  (G=k5_numbers &  (H=k5_numbers & I=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( ( ~ (v9_struct_0(F, A))  &  ( ~ (v9_struct_0(G, A))  &  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  ~ ( (r2_anproj_1(A, F, G, I) &  (r2_anproj_1(A, C, D, H) &  (r2_anproj_1(A, B, I, H) &  ( ~ (v9_struct_0(H, A))  &  ~ (v9_struct_0(I, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  (k3_rlvect_1(A, k3_rlvect_1(A, k3_rlvect_1(A, k1_rlvect_1(A, B, F), k1_rlvect_1(A, C, G)), k1_rlvect_1(A, D, H)), k1_rlvect_1(A, E, I))=k4_struct_0(A) =>  (F=k5_numbers &  (G=k5_numbers &  (H=k5_numbers & I=k5_numbers) ) ) ) ) ) ) ) ) ) ) )  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( ( ~ (v9_struct_0(F, A))  &  (r2_anproj_1(A, B, C, F) & r2_anproj_1(A, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_anproj_2(A, B, C, D) <=>  ( ~ (v9_struct_0(B, A))  &  ( ~ (v9_struct_0(C, A))  &  ~ (v9_struct_0(D, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r2_anproj_2(A, B, C, D, E, F, G) <=>  (r2_anproj_1(A, B, C, G) &  (r2_anproj_1(A, B, D, F) & r2_anproj_1(A, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (r3_anproj_2(A, B, C, D, E, F, G, H) <=>  (r2_anproj_1(A, B, C, F) &  (r2_anproj_1(A, B, D, G) & r2_anproj_1(A, B, E, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_anproj_1(A, B, C, D) & r1_anproj_2(A, B, C, D))  =>  (r1_anproj_1(A, B, C) |  (r1_anproj_1(A, B, D) |  (r1_anproj_1(A, C, D) |  ( (? [E] :  (v1_xreal_0(E) &  (? [F] :  (v1_xreal_0(F) &  (k1_rlvect_1(A, D, F)=k3_rlvect_1(A, B, k1_rlvect_1(A, C, E)) &  ( ~ (E=k5_numbers)  &  ~ (F=k5_numbers) ) ) ) ) ) )  &  (? [E] :  (v1_xreal_0(E) &  (? [F] :  (v1_xreal_0(F) &  (D=k3_rlvect_1(A, k1_rlvect_1(A, B, F), k1_rlvect_1(A, C, E)) &  ( ~ (F=k5_numbers)  &  ~ (E=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_anproj_1(A, B, C, D) &  ( ~ (r1_anproj_1(A, B, C))  &  (r1_anproj_2(A, B, C, D) &  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ~ (D=k3_rlvect_1(A, k1_rlvect_1(A, B, E), k1_rlvect_1(A, C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  ( (r1_anproj_2(A, C, D, E) &  (r1_anproj_2(A, I, J, K) &  (r1_anproj_2(A, F, G, H) &  (r3_anproj_2(A, B, C, D, E, I, J, K) &  (r2_anproj_2(A, C, D, E, F, G, H) & r2_anproj_2(A, I, J, K, F, G, H)) ) ) ) )  =>  (v9_struct_0(B, A) |  (r1_anproj_1(A, B, I) |  (r1_anproj_1(A, B, J) |  (r1_anproj_1(A, B, K) |  (r1_anproj_1(A, C, I) |  (r1_anproj_1(A, D, J) |  (r1_anproj_1(A, E, K) |  (r2_anproj_1(A, B, C, D) |  (r2_anproj_1(A, B, C, E) |  (r2_anproj_1(A, B, D, E) | r2_anproj_1(A, F, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (r4_anproj_2(A, B, C, D, E, F, G, H) <=>  ( ~ (r2_anproj_1(A, B, C, F))  &  (r2_anproj_1(A, B, C, D) &  (r2_anproj_1(A, B, C, E) &  (r2_anproj_1(A, B, F, G) & r2_anproj_1(A, B, F, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (r5_anproj_2(A, B, C, D, E, F, G, H) <=>  ( ~ (r1_anproj_1(A, B, D))  &  ( ~ (r1_anproj_1(A, B, E))  &  ( ~ (r1_anproj_1(A, B, G))  &  ( ~ (r1_anproj_1(A, B, H))  &  ( ~ (r1_anproj_1(A, C, D))  &  ( ~ (r1_anproj_1(A, C, E))  &  ( ~ (r1_anproj_1(A, F, G))  &  ( ~ (r1_anproj_1(A, F, H))  &  ( ~ (r1_anproj_1(A, D, E))  &  ~ (r1_anproj_1(A, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  ( (r1_anproj_2(A, C, D, E) &  (r1_anproj_2(A, I, J, K) &  (r1_anproj_2(A, F, G, H) &  (r4_anproj_2(A, B, C, D, E, I, J, K) &  (r5_anproj_2(A, B, C, D, E, I, J, K) &  (r2_anproj_1(A, C, J, H) &  (r2_anproj_1(A, I, D, H) &  (r2_anproj_1(A, C, K, G) &  (r2_anproj_1(A, E, I, G) &  (r2_anproj_1(A, D, K, F) & r2_anproj_1(A, E, J, F)) ) ) ) ) ) ) ) ) )  =>  (v9_struct_0(B, A) | r2_anproj_1(A, F, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_anproj_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (? [C] :  (m2_funct_2(C, A, k1_numbers, k9_funct_2(A, k1_numbers)) &  (k3_funct_2(A, k1_numbers, C, B)=1 &  (! [D] :  (r2_tarski(D, A) =>  (D=B | k1_funct_1(C, D)=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t11_anproj_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [D] :  (m2_funct_2(D, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) =>  ( (k3_funct_2(A, k1_numbers, B, E)=1 &  ( (! [H] :  (r2_tarski(H, A) =>  (H=E | k1_funct_1(B, H)=k5_numbers) ) )  &  (k3_funct_2(A, k1_numbers, C, F)=1 &  ( (! [H] :  (r2_tarski(H, A) =>  (H=F | k1_funct_1(C, H)=k5_numbers) ) )  &  (k3_funct_2(A, k1_numbers, D, G)=1 &  (! [H] :  (r2_tarski(H, A) =>  (H=G | k1_funct_1(D, H)=k5_numbers) ) ) ) ) ) ) )  =>  (E=F |  (E=G |  (F=G |  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  (! [J] :  (v1_xreal_0(J) =>  (k1_binop_1(k5_funcsdom(A), k1_binop_1(k5_funcsdom(A), k1_funct_1(k7_funcsdom(A), k4_tarski(H, B)), k1_funct_1(k7_funcsdom(A), k4_tarski(I, C))), k1_funct_1(k7_funcsdom(A), k4_tarski(J, D)))=k8_funcsdom(A) =>  (H=k5_numbers &  (I=k5_numbers & J=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_anproj_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  ~ ( ( ~ (B=C)  &  ( ~ (B=D)  &  ( ~ (C=D)  &  (! [E] :  (m2_funct_2(E, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [F] :  (m2_funct_2(F, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [G] :  (m2_funct_2(G, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (? [H] :  (v1_xreal_0(H) &  (? [I] :  (v1_xreal_0(I) &  (? [J] :  (v1_xreal_0(J) &  (k1_binop_1(k5_funcsdom(A), k1_binop_1(k5_funcsdom(A), k1_funct_1(k7_funcsdom(A), k4_tarski(H, E)), k1_funct_1(k7_funcsdom(A), k4_tarski(I, F))), k1_funct_1(k7_funcsdom(A), k4_tarski(J, G)))=k8_funcsdom(A) &  ~ ( (H=k5_numbers &  (I=k5_numbers & J=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_anproj_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [D] :  (m2_funct_2(D, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) =>  ( (A=k8_domain_1(A, E, F, G) &  (k3_funct_2(A, k1_numbers, B, E)=1 &  ( (! [H] :  (r2_tarski(H, A) =>  (H=E | k1_funct_1(B, H)=k5_numbers) ) )  &  (k3_funct_2(A, k1_numbers, C, F)=1 &  ( (! [H] :  (r2_tarski(H, A) =>  (H=F | k1_funct_1(C, H)=k5_numbers) ) )  &  (k3_funct_2(A, k1_numbers, D, G)=1 &  (! [H] :  (r2_tarski(H, A) =>  (H=G | k1_funct_1(D, H)=k5_numbers) ) ) ) ) ) ) ) )  =>  (E=F |  (E=G |  (F=G |  (! [H] :  (m2_funct_2(H, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (? [I] :  (v1_xreal_0(I) &  (? [J] :  (v1_xreal_0(J) &  (? [K] :  (v1_xreal_0(K) & H=k1_binop_1(k5_funcsdom(A), k1_binop_1(k5_funcsdom(A), k1_funct_1(k7_funcsdom(A), k4_tarski(I, B)), k1_funct_1(k7_funcsdom(A), k4_tarski(J, C))), k1_funct_1(k7_funcsdom(A), k4_tarski(K, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_anproj_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  ~ ( (A=k8_domain_1(A, B, C, D) &  ( ~ (B=C)  &  ( ~ (B=D)  &  ( ~ (C=D)  &  (! [E] :  (m2_funct_2(E, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [F] :  (m2_funct_2(F, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [G] :  (m2_funct_2(G, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (? [H] :  (m2_funct_2(H, A, k1_numbers, k9_funct_2(A, k1_numbers)) &  (! [I] :  (v1_xreal_0(I) =>  (! [J] :  (v1_xreal_0(J) =>  (! [K] :  (v1_xreal_0(K) =>  ~ (H=k1_binop_1(k5_funcsdom(A), k1_binop_1(k5_funcsdom(A), k1_funct_1(k7_funcsdom(A), k4_tarski(I, E)), k1_funct_1(k7_funcsdom(A), k4_tarski(J, F))), k1_funct_1(k7_funcsdom(A), k4_tarski(K, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_anproj_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  ~ ( (A=k8_domain_1(A, B, C, D) &  ( ~ (B=C)  &  ( ~ (B=D)  &  ( ~ (C=D)  &  (! [E] :  (m2_funct_2(E, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [F] :  (m2_funct_2(F, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [G] :  (m2_funct_2(G, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  ~ ( ( (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  (! [J] :  (v1_xreal_0(J) =>  (k1_binop_1(k5_funcsdom(A), k1_binop_1(k5_funcsdom(A), k1_funct_1(k7_funcsdom(A), k4_tarski(H, E)), k1_funct_1(k7_funcsdom(A), k4_tarski(I, F))), k1_funct_1(k7_funcsdom(A), k4_tarski(J, G)))=k8_funcsdom(A) =>  (H=k5_numbers &  (I=k5_numbers & J=k5_numbers) ) ) ) ) ) ) ) )  &  (! [H] :  (m2_funct_2(H, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (? [I] :  (v1_xreal_0(I) &  (? [J] :  (v1_xreal_0(J) &  (? [K] :  (v1_xreal_0(K) & H=k1_binop_1(k5_funcsdom(A), k1_binop_1(k5_funcsdom(A), k1_funct_1(k7_funcsdom(A), k4_tarski(I, E)), k1_funct_1(k7_funcsdom(A), k4_tarski(J, F))), k1_funct_1(k7_funcsdom(A), k4_tarski(K, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_anproj_2, axiom,  (? [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  &  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  ( (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (k3_rlvect_1(A, k3_rlvect_1(A, k1_rlvect_1(A, B, E), k1_rlvect_1(A, C, F)), k1_rlvect_1(A, D, G))=k4_struct_0(A) =>  (E=k5_numbers &  (F=k5_numbers & G=k5_numbers) ) ) ) ) ) ) ) )  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (? [F] :  (v1_xreal_0(F) &  (? [G] :  (v1_xreal_0(G) &  (? [H] :  (v1_xreal_0(H) & E=k3_rlvect_1(A, k3_rlvect_1(A, k1_rlvect_1(A, B, F), k1_rlvect_1(A, C, G)), k1_rlvect_1(A, D, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_anproj_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [D] :  (m2_funct_2(D, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [E] :  (m2_funct_2(E, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) =>  (! [H] :  (m1_subset_1(H, A) =>  (! [I] :  (m1_subset_1(I, A) =>  ( (k3_funct_2(A, k1_numbers, B, F)=1 &  ( (! [J] :  (r2_tarski(J, A) =>  (J=F | k1_funct_1(B, J)=k5_numbers) ) )  &  (k3_funct_2(A, k1_numbers, C, G)=1 &  ( (! [J] :  (r2_tarski(J, A) =>  (J=G | k1_funct_1(C, J)=k5_numbers) ) )  &  (k3_funct_2(A, k1_numbers, D, H)=1 &  ( (! [J] :  (r2_tarski(J, A) =>  (J=H | k1_funct_1(D, J)=k5_numbers) ) )  &  (k3_funct_2(A, k1_numbers, E, I)=1 &  (! [J] :  (r2_tarski(J, A) =>  (J=I | k1_funct_1(E, J)=k5_numbers) ) ) ) ) ) ) ) ) )  =>  (F=G |  (F=H |  (F=I |  (G=H |  (G=I |  (H=I |  (! [J] :  (v1_xreal_0(J) =>  (! [K] :  (v1_xreal_0(K) =>  (! [L] :  (v1_xreal_0(L) =>  (! [M] :  (v1_xreal_0(M) =>  (k1_binop_1(k5_funcsdom(A), k1_binop_1(k5_funcsdom(A), k1_binop_1(k5_funcsdom(A), k1_funct_1(k7_funcsdom(A), k4_tarski(J, B)), k1_funct_1(k7_funcsdom(A), k4_tarski(K, C))), k1_funct_1(k7_funcsdom(A), k4_tarski(L, D))), k1_funct_1(k7_funcsdom(A), k4_tarski(M, E)))=k8_funcsdom(A) =>  (J=k5_numbers &  (K=k5_numbers &  (L=k5_numbers & M=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_anproj_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  ~ ( ( ~ (B=C)  &  ( ~ (B=D)  &  ( ~ (B=E)  &  ( ~ (C=D)  &  ( ~ (C=E)  &  ( ~ (D=E)  &  (! [F] :  (m2_funct_2(F, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [G] :  (m2_funct_2(G, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [H] :  (m2_funct_2(H, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [I] :  (m2_funct_2(I, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (? [J] :  (v1_xreal_0(J) &  (? [K] :  (v1_xreal_0(K) &  (? [L] :  (v1_xreal_0(L) &  (? [M] :  (v1_xreal_0(M) &  (k1_binop_1(k5_funcsdom(A), k1_binop_1(k5_funcsdom(A), k1_binop_1(k5_funcsdom(A), k1_funct_1(k7_funcsdom(A), k4_tarski(J, F)), k1_funct_1(k7_funcsdom(A), k4_tarski(K, G))), k1_funct_1(k7_funcsdom(A), k4_tarski(L, H))), k1_funct_1(k7_funcsdom(A), k4_tarski(M, I)))=k8_funcsdom(A) &  ~ ( (J=k5_numbers &  (K=k5_numbers &  (L=k5_numbers & M=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_anproj_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [D] :  (m2_funct_2(D, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [E] :  (m2_funct_2(E, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) =>  (! [H] :  (m1_subset_1(H, A) =>  (! [I] :  (m1_subset_1(I, A) =>  ( (A=k9_domain_1(A, F, G, H, I) &  (k3_funct_2(A, k1_numbers, B, F)=1 &  ( (! [J] :  (r2_tarski(J, A) =>  (J=F | k1_funct_1(B, J)=k5_numbers) ) )  &  (k3_funct_2(A, k1_numbers, C, G)=1 &  ( (! [J] :  (r2_tarski(J, A) =>  (J=G | k1_funct_1(C, J)=k5_numbers) ) )  &  (k3_funct_2(A, k1_numbers, D, H)=1 &  ( (! [J] :  (r2_tarski(J, A) =>  (J=H | k1_funct_1(D, J)=k5_numbers) ) )  &  (k3_funct_2(A, k1_numbers, E, I)=1 &  (! [J] :  (r2_tarski(J, A) =>  (J=I | k1_funct_1(E, J)=k5_numbers) ) ) ) ) ) ) ) ) ) )  =>  (F=G |  (F=H |  (F=I |  (G=H |  (G=I |  (H=I |  (! [J] :  (m2_funct_2(J, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (? [K] :  (v1_xreal_0(K) &  (? [L] :  (v1_xreal_0(L) &  (? [M] :  (v1_xreal_0(M) &  (? [N] :  (v1_xreal_0(N) & J=k1_binop_1(k5_funcsdom(A), k1_binop_1(k5_funcsdom(A), k1_binop_1(k5_funcsdom(A), k1_funct_1(k7_funcsdom(A), k4_tarski(K, B)), k1_funct_1(k7_funcsdom(A), k4_tarski(L, C))), k1_funct_1(k7_funcsdom(A), k4_tarski(M, D))), k1_funct_1(k7_funcsdom(A), k4_tarski(N, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_anproj_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  ~ ( (A=k9_domain_1(A, B, C, D, E) &  ( ~ (B=C)  &  ( ~ (B=D)  &  ( ~ (B=E)  &  ( ~ (C=D)  &  ( ~ (C=E)  &  ( ~ (D=E)  &  (! [F] :  (m2_funct_2(F, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [G] :  (m2_funct_2(G, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [H] :  (m2_funct_2(H, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [I] :  (m2_funct_2(I, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (? [J] :  (m2_funct_2(J, A, k1_numbers, k9_funct_2(A, k1_numbers)) &  (! [K] :  (v1_xreal_0(K) =>  (! [L] :  (v1_xreal_0(L) =>  (! [M] :  (v1_xreal_0(M) =>  (! [N] :  (v1_xreal_0(N) =>  ~ (J=k1_binop_1(k5_funcsdom(A), k1_binop_1(k5_funcsdom(A), k1_binop_1(k5_funcsdom(A), k1_funct_1(k7_funcsdom(A), k4_tarski(K, F)), k1_funct_1(k7_funcsdom(A), k4_tarski(L, G))), k1_funct_1(k7_funcsdom(A), k4_tarski(M, H))), k1_funct_1(k7_funcsdom(A), k4_tarski(N, I)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_anproj_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  ~ ( (A=k9_domain_1(A, B, C, D, E) &  ( ~ (B=C)  &  ( ~ (B=D)  &  ( ~ (B=E)  &  ( ~ (C=D)  &  ( ~ (C=E)  &  ( ~ (D=E)  &  (! [F] :  (m2_funct_2(F, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [G] :  (m2_funct_2(G, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [H] :  (m2_funct_2(H, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [I] :  (m2_funct_2(I, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  ~ ( ( (! [J] :  (v1_xreal_0(J) =>  (! [K] :  (v1_xreal_0(K) =>  (! [L] :  (v1_xreal_0(L) =>  (! [M] :  (v1_xreal_0(M) =>  (k1_binop_1(k5_funcsdom(A), k1_binop_1(k5_funcsdom(A), k1_binop_1(k5_funcsdom(A), k1_funct_1(k7_funcsdom(A), k4_tarski(J, F)), k1_funct_1(k7_funcsdom(A), k4_tarski(K, G))), k1_funct_1(k7_funcsdom(A), k4_tarski(L, H))), k1_funct_1(k7_funcsdom(A), k4_tarski(M, I)))=k8_funcsdom(A) =>  (J=k5_numbers &  (K=k5_numbers &  (L=k5_numbers & M=k5_numbers) ) ) ) ) ) ) ) ) ) ) )  &  (! [J] :  (m2_funct_2(J, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (? [K] :  (v1_xreal_0(K) &  (? [L] :  (v1_xreal_0(L) &  (? [M] :  (v1_xreal_0(M) &  (? [N] :  (v1_xreal_0(N) & J=k1_binop_1(k5_funcsdom(A), k1_binop_1(k5_funcsdom(A), k1_binop_1(k5_funcsdom(A), k1_funct_1(k7_funcsdom(A), k4_tarski(K, F)), k1_funct_1(k7_funcsdom(A), k4_tarski(L, G))), k1_funct_1(k7_funcsdom(A), k4_tarski(M, H))), k1_funct_1(k7_funcsdom(A), k4_tarski(N, I)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_anproj_2, axiom,  (? [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  &  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  ( (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  (k3_rlvect_1(A, k3_rlvect_1(A, k3_rlvect_1(A, k1_rlvect_1(A, B, F), k1_rlvect_1(A, C, G)), k1_rlvect_1(A, D, H)), k1_rlvect_1(A, E, I))=k4_struct_0(A) =>  (F=k5_numbers &  (G=k5_numbers &  (H=k5_numbers & I=k5_numbers) ) ) ) ) ) ) ) ) ) ) )  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (? [G] :  (v1_xreal_0(G) &  (? [H] :  (v1_xreal_0(H) &  (? [I] :  (v1_xreal_0(I) &  (? [J] :  (v1_xreal_0(J) & F=k3_rlvect_1(A, k3_rlvect_1(A, k3_rlvect_1(A, k1_rlvect_1(A, B, G), k1_rlvect_1(A, C, H)), k1_rlvect_1(A, D, I)), k1_rlvect_1(A, E, J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (v1_anproj_2(A) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (k3_rlvect_1(A, k3_rlvect_1(A, k1_rlvect_1(A, B, E), k1_rlvect_1(A, C, F)), k1_rlvect_1(A, D, G))=k4_struct_0(A) =>  (E=k5_numbers &  (F=k5_numbers & G=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_collsp(A))  =>  (v2_collsp(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_collsp(A, B, C, B) &  (r1_collsp(A, B, B, C) & r1_collsp(A, B, C, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_collsp(A))  =>  (v3_collsp(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r1_collsp(A, B, C, D) &  (r1_collsp(A, B, C, E) & r1_collsp(A, B, C, F)) )  =>  (B=C | r1_collsp(A, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_collsp(A))  =>  (v2_anproj_2(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r1_collsp(A, B, C, E) &  (r1_collsp(A, C, D, F) &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( (r1_collsp(A, B, D, G) & r1_collsp(A, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_collsp(A))  =>  (v3_anproj_2(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  ( ~ (B=D)  &  ( ~ (C=D)  & r1_collsp(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_anproj_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_anproj_1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_anproj_1(A))) =>  (r1_collsp(k5_anproj_1(A), B, C, D) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  (B=k2_anproj_1(A, E) &  (C=k2_anproj_1(A, F) &  (D=k2_anproj_1(A, G) &  ( ~ (v9_struct_0(E, A))  &  ( ~ (v9_struct_0(F, A))  &  ( ~ (v9_struct_0(G, A))  & r2_anproj_1(A, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_anproj_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_anproj_1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_anproj_1(A))) =>  (r1_collsp(k5_anproj_1(A), B, C, D) =>  (r1_collsp(k5_anproj_1(A), B, D, C) &  (r1_collsp(k5_anproj_1(A), C, B, D) &  (r1_collsp(k5_anproj_1(A), D, C, B) &  (r1_collsp(k5_anproj_1(A), D, B, C) & r1_collsp(k5_anproj_1(A), C, D, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  ( (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (k3_rlvect_1(A, k1_rlvect_1(A, B, D), k1_rlvect_1(A, C, E))=k4_struct_0(A) =>  (D=k5_numbers & E=k5_numbers) ) ) ) ) ) ) ) ) )  => v3_anproj_2(k5_anproj_1(A))) ) ) ).
fof(d11_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_collsp(A))  =>  (v4_anproj_2(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ~ ( (r1_collsp(A, B, C, D) &  (r1_collsp(A, E, F, D) &  (r1_collsp(A, B, E, G) &  (r1_collsp(A, C, F, G) &  (r1_collsp(A, B, F, H) &  (r1_collsp(A, C, E, H) &  (r1_collsp(A, G, D, H) &  ( ~ (r1_collsp(A, B, C, F))  &  ( ~ (r1_collsp(A, B, C, E))  &  ( ~ (r1_collsp(A, B, E, F))  &  ~ (r1_collsp(A, C, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_collsp(A))  =>  (v5_anproj_2(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  ( (r1_collsp(A, C, D, K) &  (r1_collsp(A, F, G, K) &  (r1_collsp(A, D, E, I) &  (r1_collsp(A, G, H, I) &  (r1_collsp(A, C, E, J) &  (r1_collsp(A, F, H, J) &  (r1_collsp(A, B, C, F) &  (r1_collsp(A, B, D, G) & r1_collsp(A, B, E, H)) ) ) ) ) ) ) )  =>  (B=F |  (C=F |  (B=G |  (D=G |  (B=H |  (E=H |  (r1_collsp(A, B, C, D) |  (r1_collsp(A, B, C, E) |  (r1_collsp(A, B, D, E) | r1_collsp(A, I, J, K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_collsp(A))  =>  (v6_anproj_2(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  ( (r1_collsp(A, B, C, D) &  (r1_collsp(A, B, C, E) &  (r1_collsp(A, B, F, G) &  (r1_collsp(A, B, F, H) &  (r1_collsp(A, C, G, K) &  (r1_collsp(A, F, D, K) &  (r1_collsp(A, C, H, J) &  (r1_collsp(A, E, F, J) &  (r1_collsp(A, D, H, I) & r1_collsp(A, E, G, I)) ) ) ) ) ) ) ) )  =>  (B=D |  (B=E |  (D=E |  (C=D |  (C=E |  (B=G |  (B=H |  (G=H |  (F=G |  (F=H |  (r1_collsp(A, B, C, F) | r1_collsp(A, I, J, K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) & l1_collsp(A)) ) ) ) ) )  =>  (v7_anproj_2(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (r1_collsp(A, B, C, F) & r1_collsp(A, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) & l1_collsp(A)) ) ) ) ) )  =>  (v8_anproj_2(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  (? [H] :  (m1_subset_1(H, u1_struct_0(A)) &  (r1_collsp(A, B, D, G) &  (r1_collsp(A, C, E, H) & r1_collsp(A, F, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_anproj_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_anproj_1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_anproj_1(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_anproj_1(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k5_anproj_1(A))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_anproj_1(A))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k5_anproj_1(A))) =>  ~ ( (r1_collsp(k5_anproj_1(A), C, H, D) &  (r1_collsp(k5_anproj_1(A), G, E, D) &  (r1_collsp(k5_anproj_1(A), C, G, B) &  (r1_collsp(k5_anproj_1(A), H, E, B) &  (r1_collsp(k5_anproj_1(A), C, E, F) &  (r1_collsp(k5_anproj_1(A), H, G, F) &  (r1_collsp(k5_anproj_1(A), B, D, F) &  ( ~ (r1_collsp(k5_anproj_1(A), C, H, E))  &  ( ~ (r1_collsp(k5_anproj_1(A), C, H, G))  &  ( ~ (r1_collsp(k5_anproj_1(A), C, G, E))  &  ~ (r1_collsp(k5_anproj_1(A), H, G, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  ~ ( ( (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  ( (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (k3_rlvect_1(A, k3_rlvect_1(A, k1_rlvect_1(A, B, E), k1_rlvect_1(A, C, F)), k1_rlvect_1(A, D, G))=k4_struct_0(A) =>  (E=k5_numbers &  (F=k5_numbers & G=k5_numbers) ) ) ) ) ) ) ) )  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (? [F] :  (v1_xreal_0(F) &  (? [G] :  (v1_xreal_0(G) &  (? [H] :  (v1_xreal_0(H) & E=k3_rlvect_1(A, k3_rlvect_1(A, k1_rlvect_1(A, B, F), k1_rlvect_1(A, C, G)), k1_rlvect_1(A, D, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_anproj_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_anproj_1(A))) =>  ~ ( ( ~ (B=C)  &  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_anproj_1(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_anproj_1(A))) =>  (? [F] :  (m1_subset_1(F, u1_struct_0(k5_anproj_1(A))) &  (r1_collsp(k5_anproj_1(A), B, C, F) & r1_collsp(k5_anproj_1(A), D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  ( (? [B] :  (m1_subset_1(B, u1_struct_0(k5_anproj_1(A))) &  (? [C] :  (m1_subset_1(C, u1_struct_0(k5_anproj_1(A))) &  ( ~ (B=C)  &  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_anproj_1(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_anproj_1(A))) =>  (? [F] :  (m1_subset_1(F, u1_struct_0(k5_anproj_1(A))) &  (r1_collsp(k5_anproj_1(A), B, C, F) & r1_collsp(k5_anproj_1(A), D, E, F)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_anproj_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_anproj_1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_anproj_1(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_anproj_1(A))) =>  (? [F] :  (m1_subset_1(F, u1_struct_0(k5_anproj_1(A))) &  (r1_collsp(k5_anproj_1(A), B, C, F) & r1_collsp(k5_anproj_1(A), D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  ~ ( ( (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  ( (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (k3_rlvect_1(A, k3_rlvect_1(A, k1_rlvect_1(A, B, E), k1_rlvect_1(A, C, F)), k1_rlvect_1(A, D, G))=k4_struct_0(A) =>  (E=k5_numbers &  (F=k5_numbers & G=k5_numbers) ) ) ) ) ) ) ) )  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (? [F] :  (v1_xreal_0(F) &  (? [G] :  (v1_xreal_0(G) &  (? [H] :  (v1_xreal_0(H) & E=k3_rlvect_1(A, k3_rlvect_1(A, k1_rlvect_1(A, B, F), k1_rlvect_1(A, C, G)), k1_rlvect_1(A, D, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_collsp(B) &  (v3_collsp(B) &  (v4_collsp(B) &  (v2_anproj_2(B) &  (v3_anproj_2(B) & l1_collsp(B)) ) ) ) ) )  =>  ~ ( (B=k5_anproj_1(A) & v7_anproj_2(B)) ) ) ) ) ) ) ) ).
fof(t30_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  ~ ( ( (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  ( (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (? [G] :  (v1_xreal_0(G) &  (? [H] :  (v1_xreal_0(H) &  (? [I] :  (v1_xreal_0(I) &  (? [J] :  (v1_xreal_0(J) & F=k3_rlvect_1(A, k3_rlvect_1(A, k3_rlvect_1(A, k1_rlvect_1(A, B, G), k1_rlvect_1(A, C, H)), k1_rlvect_1(A, D, I)), k1_rlvect_1(A, E, J))) ) ) ) ) ) ) ) ) )  &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  (k3_rlvect_1(A, k3_rlvect_1(A, k3_rlvect_1(A, k1_rlvect_1(A, B, F), k1_rlvect_1(A, C, G)), k1_rlvect_1(A, D, H)), k1_rlvect_1(A, E, I))=k4_struct_0(A) =>  (F=k5_numbers &  (G=k5_numbers &  (H=k5_numbers & I=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_anproj_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_anproj_1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_anproj_1(A))) =>  ~ ( ( ~ (r1_collsp(k5_anproj_1(A), B, C, D))  &  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_anproj_1(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k5_anproj_1(A))) =>  (? [G] :  (m1_subset_1(G, u1_struct_0(k5_anproj_1(A))) &  (? [H] :  (m1_subset_1(H, u1_struct_0(k5_anproj_1(A))) &  (r1_collsp(k5_anproj_1(A), E, F, H) &  (r1_collsp(k5_anproj_1(A), C, D, G) & r1_collsp(k5_anproj_1(A), B, H, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  ~ ( (v4_collsp(k5_anproj_1(A)) &  (v3_anproj_2(k5_anproj_1(A)) &  ( (? [B] :  (m1_subset_1(B, u1_struct_0(k5_anproj_1(A))) &  (? [C] :  (m1_subset_1(C, u1_struct_0(k5_anproj_1(A))) &  (? [D] :  (m1_subset_1(D, u1_struct_0(k5_anproj_1(A))) &  ( ~ (r1_collsp(k5_anproj_1(A), B, C, D))  &  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_anproj_1(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k5_anproj_1(A))) =>  (? [G] :  (m1_subset_1(G, u1_struct_0(k5_anproj_1(A))) &  (? [H] :  (m1_subset_1(H, u1_struct_0(k5_anproj_1(A))) &  (r1_collsp(k5_anproj_1(A), E, F, H) &  (r1_collsp(k5_anproj_1(A), C, D, G) & r1_collsp(k5_anproj_1(A), B, H, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_collsp(B) &  (v3_collsp(B) &  (v4_collsp(B) &  (v2_anproj_2(B) &  (v3_anproj_2(B) & l1_collsp(B)) ) ) ) ) )  =>  ~ ( (B=k5_anproj_1(A) & v8_anproj_2(B)) ) ) ) ) ) ) ) ) ) ).
fof(t32_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  ~ ( ( (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  ( (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (? [G] :  (v1_xreal_0(G) &  (? [H] :  (v1_xreal_0(H) &  (? [I] :  (v1_xreal_0(I) &  (? [J] :  (v1_xreal_0(J) & F=k3_rlvect_1(A, k3_rlvect_1(A, k3_rlvect_1(A, k1_rlvect_1(A, B, G), k1_rlvect_1(A, C, H)), k1_rlvect_1(A, D, I)), k1_rlvect_1(A, E, J))) ) ) ) ) ) ) ) ) )  &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  (k3_rlvect_1(A, k3_rlvect_1(A, k3_rlvect_1(A, k1_rlvect_1(A, B, F), k1_rlvect_1(A, C, G)), k1_rlvect_1(A, D, H)), k1_rlvect_1(A, E, I))=k4_struct_0(A) =>  (F=k5_numbers &  (G=k5_numbers &  (H=k5_numbers & I=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_collsp(B) &  (v3_collsp(B) &  (v4_collsp(B) &  (v2_anproj_2(B) &  (v3_anproj_2(B) & l1_collsp(B)) ) ) ) ) )  =>  ~ ( (B=k5_anproj_1(A) & v8_anproj_2(B)) ) ) ) ) ) ) ) ).
fof(t33_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  ~ ( ( (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  (k3_rlvect_1(A, k3_rlvect_1(A, k3_rlvect_1(A, k1_rlvect_1(A, B, F), k1_rlvect_1(A, C, G)), k1_rlvect_1(A, D, H)), k1_rlvect_1(A, E, I))=k4_struct_0(A) =>  (F=k5_numbers &  (G=k5_numbers &  (H=k5_numbers & I=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_collsp(B) &  (v3_collsp(B) &  (v4_collsp(B) &  (v2_anproj_2(B) &  (v3_anproj_2(B) & l1_collsp(B)) ) ) ) ) )  =>  ~ ( (B=k5_anproj_1(A) &  ~ (v7_anproj_2(B)) ) ) ) ) ) ) ) ) ).
fof(t34_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  ~ ( ( (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  ( (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (? [G] :  (v1_xreal_0(G) &  (? [H] :  (v1_xreal_0(H) &  (? [I] :  (v1_xreal_0(I) &  (? [J] :  (v1_xreal_0(J) & F=k3_rlvect_1(A, k3_rlvect_1(A, k3_rlvect_1(A, k1_rlvect_1(A, B, G), k1_rlvect_1(A, C, H)), k1_rlvect_1(A, D, I)), k1_rlvect_1(A, E, J))) ) ) ) ) ) ) ) ) )  &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  (k3_rlvect_1(A, k3_rlvect_1(A, k3_rlvect_1(A, k1_rlvect_1(A, B, F), k1_rlvect_1(A, C, G)), k1_rlvect_1(A, D, H)), k1_rlvect_1(A, E, I))=k4_struct_0(A) =>  (F=k5_numbers &  (G=k5_numbers &  (H=k5_numbers & I=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_collsp(B) &  (v3_collsp(B) &  (v4_collsp(B) &  (v2_anproj_2(B) &  (v3_anproj_2(B) & l1_collsp(B)) ) ) ) ) )  =>  ~ ( (B=k5_anproj_1(A) &  ( ~ (v7_anproj_2(B))  & v8_anproj_2(B)) ) ) ) ) ) ) ) ) ).
fof(t35_anproj_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_collsp(A))  =>  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) &  (v7_anproj_2(A) & l1_collsp(A)) ) ) ) ) ) )  <=>  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v3_anproj_2(A) & l1_collsp(A)) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (r1_collsp(A, B, C, F) & r1_collsp(A, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_anproj_8, axiom,  (r2_hidden(k4_tarski(1, 1), k2_zfmisc_1(k2_finseq_1(3), k2_finseq_1(3))) &  (r2_hidden(k4_tarski(1, 2), k2_zfmisc_1(k2_finseq_1(3), k2_finseq_1(3))) &  (r2_hidden(k4_tarski(1, 3), k2_zfmisc_1(k2_finseq_1(3), k2_finseq_1(3))) &  (r2_hidden(k4_tarski(2, 1), k2_zfmisc_1(k2_finseq_1(3), k2_finseq_1(3))) &  (r2_hidden(k4_tarski(2, 2), k2_zfmisc_1(k2_finseq_1(3), k2_finseq_1(3))) &  (r2_hidden(k4_tarski(2, 3), k2_zfmisc_1(k2_finseq_1(3), k2_finseq_1(3))) &  (r2_hidden(k4_tarski(3, 1), k2_zfmisc_1(k2_finseq_1(3), k2_finseq_1(3))) &  (r2_hidden(k4_tarski(3, 2), k2_zfmisc_1(k2_finseq_1(3), k2_finseq_1(3))) & r2_hidden(k4_tarski(3, 3), k2_zfmisc_1(k2_finseq_1(3), k2_finseq_1(3)))) ) ) ) ) ) ) ) ).
fof(t2_anproj_8, axiom,  (r2_hidden(k4_tarski(1, 1), k2_zfmisc_1(k2_finseq_1(3), k2_finseq_1(1))) &  (r2_hidden(k4_tarski(2, 1), k2_zfmisc_1(k2_finseq_1(3), k2_finseq_1(1))) & r2_hidden(k4_tarski(3, 1), k2_zfmisc_1(k2_finseq_1(3), k2_finseq_1(1)))) ) ).
fof(t3_anproj_8, axiom,  (r2_hidden(k4_tarski(1, 1), k2_zfmisc_1(k2_finseq_1(1), k2_finseq_1(3))) &  (r2_hidden(k4_tarski(1, 2), k2_zfmisc_1(k2_finseq_1(1), k2_finseq_1(3))) & r2_hidden(k4_tarski(1, 3), k2_zfmisc_1(k2_finseq_1(1), k2_finseq_1(3)))) ) ).
fof(t4_anproj_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (v1_matrix_0(k11_finseq_1(k9_finseq_1(A), k9_finseq_1(B), k9_finseq_1(C))) &  (v2_matrix_0(k11_finseq_1(k9_finseq_1(A), k9_finseq_1(B), k9_finseq_1(C)), u1_struct_0(k2_vectsp_1), 3, 1) & m2_finseq_1(k11_finseq_1(k9_finseq_1(A), k9_finseq_1(B), k9_finseq_1(C)), k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) ) ) ) ) ) ) ).
fof(t5_anproj_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(k2_vectsp_1), 3, 1) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (D=k11_finseq_1(k9_finseq_1(A), k9_finseq_1(B), k9_finseq_1(C)) => k8_matrix_0(u1_struct_0(k2_vectsp_1), D, 1)=k11_finseq_1(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t6_anproj_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) => k11_fvsum_1(A, k3_finseq_4(u1_struct_0(A), B, C, D), k3_finseq_4(u1_struct_0(A), E, F, G))=k3_finseq_4(u1_struct_0(A), k6_algstr_0(A, B, E), k6_algstr_0(A, C, F), k6_algstr_0(A, D, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_anproj_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v6_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) => k13_fvsum_1(A, k3_finseq_4(u1_struct_0(A), B, C, D), k3_finseq_4(u1_struct_0(A), E, F, G))=k3_rlvect_1(A, k3_rlvect_1(A, k6_algstr_0(A, B, E), k6_algstr_0(A, C, F)), k6_algstr_0(A, D, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_anproj_8, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, u1_struct_0(k2_vectsp_1), 3, 1) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (B=k11_finseq_1(k9_finseq_1(k5_numbers), k9_finseq_1(k5_numbers), k9_finseq_1(k5_numbers)) => k4_matrix_3(k2_vectsp_1, A, B)=k11_finseq_1(k9_finseq_1(k5_numbers), k9_finseq_1(k5_numbers), k9_finseq_1(k5_numbers))) ) ) ) ) ).
fof(t9_anproj_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_anproj_1(A, B, C, D) <=>  ~ ( ( ~ (B=C)  &  ( ~ (B=D)  &  ( ~ (C=D)  & v1_rlvect_3(k8_domain_1(u1_struct_0(A), B, C, D), A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_anproj_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_anproj_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_anproj_1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_anproj_1(A))) =>  (r1_collsp(k5_anproj_1(A), B, C, D) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  (B=k2_anproj_1(A, E) &  (C=k2_anproj_1(A, F) &  (D=k2_anproj_1(A, G) &  ( ~ (v9_struct_0(E, A))  &  ( ~ (v9_struct_0(F, A))  &  ( ~ (v9_struct_0(G, A))  &  ~ ( ( ~ (E=F)  &  ( ~ (E=G)  &  ( ~ (F=G)  & v1_rlvect_3(k8_domain_1(u1_struct_0(A), E, F, G), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_anproj_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_anproj_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_anproj_1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_anproj_1(A))) =>  (r1_collsp(k5_anproj_1(A), B, C, D) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  (B=k2_anproj_1(A, E) &  (C=k2_anproj_1(A, F) &  (D=k2_anproj_1(A, G) &  ( ~ (v9_struct_0(E, A))  &  ( ~ (v9_struct_0(F, A))  &  ( ~ (v9_struct_0(G, A))  &  (? [H] :  (v1_xreal_0(H) &  (? [I] :  (v1_xreal_0(I) &  (? [J] :  (v1_xreal_0(J) &  (k3_rlvect_1(A, k3_rlvect_1(A, k1_rlvect_1(A, E, H), k1_rlvect_1(A, F, I)), k1_rlvect_1(A, G, J))=k4_struct_0(A) &  ~ ( (H=k5_numbers &  (I=k5_numbers & J=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_anproj_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v7_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v5_rlvect_1(D) &  (v6_rlvect_1(D) &  (v7_rlvect_1(D) &  (v8_rlvect_1(D) & l1_rlvect_1(D)) ) ) ) ) ) ) ) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(D)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(D)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(D)) =>  (k3_rlvect_1(D, k3_rlvect_1(D, k1_rlvect_1(D, E, A), k1_rlvect_1(D, F, B)), k1_rlvect_1(D, G, C))=k4_struct_0(D) =>  (A=k5_numbers | E=k3_rlvect_1(D, k1_rlvect_1(D, F, k7_xcmplx_0(k4_xcmplx_0(B), A)), k1_rlvect_1(D, G, k7_xcmplx_0(k4_xcmplx_0(C), A)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_anproj_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A, B), k3_xcmplx_0(C, D)), k3_xcmplx_0(E, F))=k5_numbers =>  (A=k5_numbers | B=k6_xcmplx_0(k4_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(C, A), D)), k3_xcmplx_0(k7_xcmplx_0(E, A), F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_anproj_8, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  ( (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (? [F] :  (v1_xreal_0(F) &  (k3_rlvect_1(k15_euclid(3), k3_rlvect_1(k15_euclid(3), k1_rlvect_1(k15_euclid(3), A, D), k1_rlvect_1(k15_euclid(3), B, E)), k1_rlvect_1(k15_euclid(3), C, F))=k4_struct_0(k15_euclid(3)) &  ~ (D=k5_numbers) ) ) ) ) ) ) )  => k6_euclid_5(A, B, C)=k5_numbers) ) ) ) ) ) ) ).
fof(t15_anproj_8, axiom,  (! [A] :  (v7_ordinal1(A) => k4_finseq_1(k4_matrixr2(A))=k2_finseq_1(A)) ) ).
fof(t16_anproj_8, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k2_vectsp_1))))  => k1_matrixr1(k2_matrixr1(A))=A) ) ).
fof(t17_anproj_8, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k2_vectsp_1))))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k2_vectsp_1))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(k1_numbers)))  =>  ( (A=C & B=D)  => k4_matrix_3(k2_vectsp_1, A, B)=k6_matrixr1(C, D)) ) ) ) ) ) ) ) ) ).
fof(t18_anproj_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(k2_vectsp_1), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (B=C =>  (v1_matrixr2(B, A) <=> v1_matrix_6(C, A, k2_vectsp_1)) ) ) ) ) ) ) ) ).
fof(t19_anproj_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  (v1_matrix_0(k11_finseq_1(k11_finseq_1(A, B, C), k11_finseq_1(D, E, F), k11_finseq_1(G, H, I))) &  (v2_matrix_0(k11_finseq_1(k11_finseq_1(A, B, C), k11_finseq_1(D, E, F), k11_finseq_1(G, H, I)), u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(k11_finseq_1(k11_finseq_1(A, B, C), k11_finseq_1(D, E, F), k11_finseq_1(G, H, I)), k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_anproj_8, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  (! [J] :  (v1_xreal_0(J) =>  (A=k11_finseq_1(k11_finseq_1(B, E, H), k11_finseq_1(C, F, I), k11_finseq_1(D, G, J)) =>  (k3_matrix_0(u1_struct_0(k2_vectsp_1), A, 1, 1)=B &  (k3_matrix_0(u1_struct_0(k2_vectsp_1), A, 1, 2)=E &  (k3_matrix_0(u1_struct_0(k2_vectsp_1), A, 1, 3)=H &  (k3_matrix_0(u1_struct_0(k2_vectsp_1), A, 2, 1)=C &  (k3_matrix_0(u1_struct_0(k2_vectsp_1), A, 2, 2)=F &  (k3_matrix_0(u1_struct_0(k2_vectsp_1), A, 2, 3)=I &  (k3_matrix_0(u1_struct_0(k2_vectsp_1), A, 3, 1)=D &  (k3_matrix_0(u1_struct_0(k2_vectsp_1), A, 3, 2)=G & k3_matrix_0(u1_struct_0(k2_vectsp_1), A, 3, 3)=J) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_anproj_8, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (D=k3_finseq_4(u1_struct_0(k15_euclid(3)), A, B, C) =>  (k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 1, 1)=k1_euclid_5(A) &  (k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 1, 2)=k2_euclid_5(A) &  (k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 1, 3)=k3_euclid_5(A) &  (k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 2, 1)=k1_euclid_5(B) &  (k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 2, 2)=k2_euclid_5(B) &  (k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 2, 3)=k3_euclid_5(B) &  (k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 3, 1)=k1_euclid_5(C) &  (k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 3, 2)=k2_euclid_5(C) & k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 3, 3)=k3_euclid_5(C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_anproj_8, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  (! [J] :  (v1_xreal_0(J) =>  (A=k11_finseq_1(k11_finseq_1(B, E, H), k11_finseq_1(C, F, I), k11_finseq_1(D, G, J)) => k4_matrix_0(u1_struct_0(k2_vectsp_1), A)=k11_finseq_1(k11_finseq_1(B, C, D), k11_finseq_1(E, F, G), k11_finseq_1(H, I, J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_anproj_8, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (D=k3_finseq_4(u1_struct_0(k15_euclid(3)), A, B, C) => k4_matrix_0(u1_struct_0(k2_vectsp_1), D)=k11_finseq_1(k11_finseq_1(k1_euclid_5(A), k1_euclid_5(B), k1_euclid_5(C)), k11_finseq_1(k2_euclid_5(A), k2_euclid_5(B), k2_euclid_5(C)), k11_finseq_1(k3_euclid_5(A), k3_euclid_5(B), k3_euclid_5(C)))) ) ) ) ) ) ) ) ) ).
fof(t24_anproj_8, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  => k9_matrix13(k2_vectsp_1, 3, 3, A)=k8_domain_1(k4_finseq_2(k1_matrix_0(A), u1_struct_0(k2_vectsp_1)), k7_matrix_0(u1_struct_0(k2_vectsp_1), A, 1), k7_matrix_0(u1_struct_0(k2_vectsp_1), A, 2), k7_matrix_0(u1_struct_0(k2_vectsp_1), A, 3))) ) ).
fof(t25_anproj_8, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (D=k11_finseq_1(k11_finseq_1(k1_euclid_5(A), k2_euclid_5(A), k3_euclid_5(A)), k11_finseq_1(k1_euclid_5(B), k2_euclid_5(B), k3_euclid_5(B)), k11_finseq_1(k1_euclid_5(C), k2_euclid_5(C), k3_euclid_5(C))) =>  (k7_matrix_0(u1_struct_0(k2_vectsp_1), D, 1)=A &  (k7_matrix_0(u1_struct_0(k2_vectsp_1), D, 2)=B & k7_matrix_0(u1_struct_0(k2_vectsp_1), D, 3)=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_anproj_8, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [B] :  (r2_hidden(B, k9_matrix13(k2_vectsp_1, 3, 3, k4_matrix_0(u1_struct_0(k2_vectsp_1), A))) <=>  (? [C] :  (v7_ordinal1(C) &  (r2_tarski(C, k2_finseq_1(3)) & B=k8_matrix_0(u1_struct_0(k2_vectsp_1), A, C)) ) ) ) ) ) ) ).
fof(t27_anproj_8, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) => k6_euclid_5(A, B, C)=k2_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_euclid_5(A), k2_euclid_5(B)), k3_euclid_5(C)), k3_xcmplx_0(k3_xcmplx_0(k3_euclid_5(A), k2_euclid_5(B)), k1_euclid_5(C))), k3_xcmplx_0(k3_xcmplx_0(k1_euclid_5(A), k3_euclid_5(B)), k2_euclid_5(C))), k3_xcmplx_0(k3_xcmplx_0(k2_euclid_5(A), k3_euclid_5(B)), k1_euclid_5(C))), k3_xcmplx_0(k3_xcmplx_0(k2_euclid_5(A), k1_euclid_5(B)), k3_euclid_5(C))), k3_xcmplx_0(k3_xcmplx_0(k3_euclid_5(A), k1_euclid_5(B)), k2_euclid_5(C)))) ) ) ) ) ) ).
fof(t28_anproj_8, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(3))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(3))) => k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k6_euclid_5(A, B, C), k6_euclid_5(A, D, E)), k3_xcmplx_0(k6_euclid_5(A, B, D), k6_euclid_5(A, C, E))), k3_xcmplx_0(k6_euclid_5(A, B, E), k6_euclid_5(A, C, D)))=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t29_anproj_8, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) => k6_euclid_5(A, B, C)=k4_xcmplx_0(k6_euclid_5(A, C, B))) ) ) ) ) ) ).
fof(t30_anproj_8, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) => k6_euclid_5(A, B, C)=k4_xcmplx_0(k6_euclid_5(B, A, C))) ) ) ) ) ) ).
fof(t31_anproj_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(3))) => k6_euclid_5(k1_rlvect_1(k15_euclid(3), B, A), C, D)=k3_xcmplx_0(A, k6_euclid_5(B, C, D))) ) ) ) ) ) ) ) ).
fof(t32_anproj_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(3))) => k6_euclid_5(B, k1_rlvect_1(k15_euclid(3), C, A), D)=k3_xcmplx_0(A, k6_euclid_5(B, C, D))) ) ) ) ) ) ) ) ).
fof(t33_anproj_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(3))) => k6_euclid_5(B, C, k1_rlvect_1(k15_euclid(3), D, A))=k3_xcmplx_0(A, k6_euclid_5(B, C, D))) ) ) ) ) ) ) ) ).
fof(t34_anproj_8, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (D=k11_finseq_1(k11_finseq_1(k1_euclid_5(A), k1_euclid_5(B), k1_euclid_5(C)), k11_finseq_1(k2_euclid_5(A), k2_euclid_5(B), k2_euclid_5(C)), k11_finseq_1(k3_euclid_5(A), k3_euclid_5(B), k3_euclid_5(C))) => k6_euclid_5(A, B, C)=k12_matrix_3(3, k2_vectsp_1, D)) ) ) ) ) ) ) ) ) ).
fof(t35_anproj_8, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (D=k11_finseq_1(k11_finseq_1(k1_euclid_5(A), k2_euclid_5(A), k3_euclid_5(A)), k11_finseq_1(k1_euclid_5(B), k2_euclid_5(B), k3_euclid_5(B)), k11_finseq_1(k1_euclid_5(C), k2_euclid_5(C), k3_euclid_5(C))) => k6_euclid_5(A, B, C)=k12_matrix_3(3, k2_vectsp_1, D)) ) ) ) ) ) ) ) ) ).
fof(t36_anproj_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, u1_struct_0(k2_vectsp_1), A, A) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (k12_matrix_3(A, k2_vectsp_1, B)=k4_struct_0(k2_vectsp_1) <=>  ~ (r1_xxreal_0(A, k8_matrix13(k2_vectsp_1, B))) ) ) ) ) ) ).
fof(t37_anproj_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, u1_struct_0(k2_vectsp_1), A, A) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  ( ~ ( ( ~ (r1_xxreal_0(A, k8_matrix13(k2_vectsp_1, B)))  &  (v1_vectsp_7(k9_matrix13(k2_vectsp_1, A, A, B), k2_vectsp_1, k6_prvect_1(k2_vectsp_1, A)) & v2_funct_1(B)) ) )  &  ~ ( ( ~ ( (v1_vectsp_7(k9_matrix13(k2_vectsp_1, A, A, B), k2_vectsp_1, k6_prvect_1(k2_vectsp_1, A)) & v2_funct_1(B)) )  & r1_xxreal_0(A, k8_matrix13(k2_vectsp_1, B))) ) ) ) ) ) ) ).
fof(t38_anproj_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (v1_funct_1(k3_matrtop1(A, B, C)) &  (v1_funct_2(k3_matrtop1(A, B, C), u1_struct_0(k2_dualsp01(k15_euclid(A))), u1_struct_0(k2_dualsp01(k15_euclid(B)))) & m1_subset_1(k3_matrtop1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_dualsp01(k15_euclid(A))), u1_struct_0(k2_dualsp01(k15_euclid(B))))))) ) ) ) ) ) ) ) ).
fof(t39_anproj_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, u1_struct_0(k2_vectsp_1), A, A) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (v1_funct_1(k3_matrtop1(A, A, B)) &  (v1_funct_2(k3_matrtop1(A, A, B), u1_struct_0(k2_dualsp01(k15_euclid(A))), u1_struct_0(k2_dualsp01(k15_euclid(A)))) &  (v13_vectsp_1(k3_matrtop1(A, A, B), k2_dualsp01(k15_euclid(A)), k2_dualsp01(k15_euclid(A))) &  (v1_mod_2(k3_matrtop1(A, A, B), k2_vectsp_1, k2_dualsp01(k15_euclid(A)), k2_dualsp01(k15_euclid(A))) & m1_subset_1(k3_matrtop1(A, A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_dualsp01(k15_euclid(A))), u1_struct_0(k2_dualsp01(k15_euclid(A))))))) ) ) ) ) ) ) ) ).
fof(t40_anproj_8, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  ~ ( (D=k11_finseq_1(k11_finseq_1(k1_euclid_5(A), k2_euclid_5(A), k3_euclid_5(A)), k11_finseq_1(k1_euclid_5(B), k2_euclid_5(B), k3_euclid_5(B)), k11_finseq_1(k1_euclid_5(C), k2_euclid_5(C), k3_euclid_5(C))) &  ( ~ (r1_xxreal_0(3, k8_matrix13(k2_vectsp_1, D)))  &  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( (k3_rlvect_1(k15_euclid(3), k3_rlvect_1(k15_euclid(3), k1_rlvect_1(k15_euclid(3), A, E), k1_rlvect_1(k15_euclid(3), B, F)), k1_rlvect_1(k15_euclid(3), C, G))=k4_struct_0(k15_euclid(3)) &  ~ ( (E=k5_numbers &  (F=k5_numbers & G=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_anproj_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(3))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(3))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(3))) =>  (k3_rlvect_1(k15_euclid(3), k3_rlvect_1(k15_euclid(3), k1_rlvect_1(k15_euclid(3), D, A), k1_rlvect_1(k15_euclid(3), E, B)), k1_rlvect_1(k15_euclid(3), F, C))=k4_struct_0(k15_euclid(3)) =>  ( (A=k5_numbers &  (B=k5_numbers & C=k5_numbers) )  | k6_euclid_5(D, E, F)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_anproj_8, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  ~ ( (k6_euclid_5(A, B, C)=k5_numbers &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( (k3_rlvect_1(k15_euclid(3), k3_rlvect_1(k15_euclid(3), k1_rlvect_1(k15_euclid(3), A, D), k1_rlvect_1(k15_euclid(3), B, E)), k1_rlvect_1(k15_euclid(3), C, F))=k4_struct_0(k15_euclid(3)) &  ~ ( (D=k5_numbers &  (E=k5_numbers & F=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_anproj_8, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  (r2_anproj_1(k15_euclid(3), A, B, C) <=> k6_euclid_5(A, B, C)=k5_numbers) ) ) ) ) ) ) ).
fof(t44_anproj_8, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) => k22_rvsum_1(A, k5_euclid_5(A, B))=k5_numbers) ) ) ) ).
fof(t45_anproj_8, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) => k22_rvsum_1(A, k5_euclid_5(B, A))=k5_numbers) ) ) ) ).
fof(t46_anproj_8, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(3))) =>  (k6_euclid_5(A, B, k5_euclid_5(k5_euclid_5(A, B), k5_euclid_5(C, D)))=k5_numbers & k6_euclid_5(C, D, k5_euclid_5(k5_euclid_5(A, B), k5_euclid_5(C, D)))=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(t47_anproj_8, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(3))) =>  (r2_anproj_1(k15_euclid(3), A, B, k5_euclid_5(k5_euclid_5(A, B), k5_euclid_5(C, D))) & r2_anproj_1(k15_euclid(3), C, D, k5_euclid_5(k5_euclid_5(A, B), k5_euclid_5(C, D)))) ) ) ) ) ) ) ) ) ).
fof(t48_anproj_8, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (k5_euclid_5(k4_struct_0(k15_euclid(3)), A)=k4_struct_0(k15_euclid(3)) & k5_euclid_5(A, k4_struct_0(k15_euclid(3)))=k4_struct_0(k15_euclid(3))) ) ) ).
fof(t49_anproj_8, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) => k6_euclid_5(A, B, k4_struct_0(k15_euclid(3)))=k5_numbers) ) ) ) ).
fof(t50_anproj_8, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  ( (k5_euclid_5(A, B)=k4_struct_0(k15_euclid(3)) & C=k4_euclid_5(1, 1, 1))  => r2_anproj_1(k15_euclid(3), A, B, C)) ) ) ) ) ) ) ).
fof(t51_anproj_8, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (k5_euclid_5(A, B)=k4_struct_0(k15_euclid(3)) =>  (v9_struct_0(A, k15_euclid(3)) |  (v9_struct_0(B, k15_euclid(3)) | r1_anproj_1(k15_euclid(3), A, B)) ) ) ) ) ) ) ).
fof(t52_anproj_8, axiom,  (! [A] :  ( ( ~ (v9_struct_0(A, k15_euclid(3)))  & m1_subset_1(A, u1_struct_0(k15_euclid(3))))  =>  (! [B] :  ( ( ~ (v9_struct_0(B, k15_euclid(3)))  & m1_subset_1(B, u1_struct_0(k15_euclid(3))))  =>  (! [C] :  ( ( ~ (v9_struct_0(C, k15_euclid(3)))  & m1_subset_1(C, u1_struct_0(k15_euclid(3))))  =>  (! [D] :  ( ( ~ (v9_struct_0(D, k15_euclid(3)))  & m1_subset_1(D, u1_struct_0(k15_euclid(3))))  =>  ~ ( (v9_struct_0(k5_euclid_5(k5_euclid_5(A, B), k5_euclid_5(C, D)), k15_euclid(3)) &  ( ~ (r1_anproj_1(k15_euclid(3), A, B))  &  ( ~ (r1_anproj_1(k15_euclid(3), C, D))  &  ~ (r1_anproj_1(k15_euclid(3), k5_euclid_5(A, B), k5_euclid_5(C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_anproj_8, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) => k6_euclid_5(A, B, k5_euclid_5(A, B))=k6_xcmplx_0(k3_xcmplx_0(k22_rvsum_1(B, B), k22_rvsum_1(A, A)), k3_xcmplx_0(k22_rvsum_1(B, A), k22_rvsum_1(A, B)))) ) ) ) ).
fof(t54_anproj_8, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) => k22_rvsum_1(k5_euclid_5(A, B), k5_euclid_5(A, B))=k6_xcmplx_0(k3_xcmplx_0(k22_rvsum_1(B, B), k22_rvsum_1(A, A)), k3_xcmplx_0(k22_rvsum_1(B, A), k22_rvsum_1(A, B)))) ) ) ) ).
fof(t55_anproj_8, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(3))) =>  ( (k22_rvsum_1(A, B)=k5_numbers &  (k22_rvsum_1(A, C)=k5_numbers & k22_rvsum_1(A, D)=k5_numbers) )  =>  (v9_struct_0(A, k15_euclid(3)) | k6_euclid_5(B, C, D)=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t56_anproj_8, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) => k6_euclid_5(A, B, k5_euclid_5(A, B))=k1_square_1(k12_euclid(k5_euclid_5(A, B)))) ) ) ) ).
fof(t57_anproj_8, axiom,  ( ~ (v2_struct_0(k5_anproj_1(k15_euclid(3))))  &  (v2_collsp(k5_anproj_1(k15_euclid(3))) &  (v3_collsp(k5_anproj_1(k15_euclid(3))) &  (v4_collsp(k5_anproj_1(k15_euclid(3))) &  (v2_anproj_2(k5_anproj_1(k15_euclid(3))) &  (v3_anproj_2(k5_anproj_1(k15_euclid(3))) &  (v7_anproj_2(k5_anproj_1(k15_euclid(3))) & l1_collsp(k5_anproj_1(k15_euclid(3)))) ) ) ) ) ) ) ).
fof(t58_anproj_8, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(3))) =>  (k2_anproj_1(k15_euclid(3), A)=k2_anproj_1(k15_euclid(3), D) =>  (v9_struct_0(A, k15_euclid(3)) |  (v9_struct_0(D, k15_euclid(3)) |  (k6_euclid_5(A, B, C)=k5_numbers <=> k6_euclid_5(D, B, C)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_anproj_8, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(3))) =>  (k2_anproj_1(k15_euclid(3), B)=k2_anproj_1(k15_euclid(3), D) =>  (v9_struct_0(B, k15_euclid(3)) |  (v9_struct_0(D, k15_euclid(3)) |  (k6_euclid_5(A, B, C)=k5_numbers <=> k6_euclid_5(A, D, C)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_anproj_8, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(3))) =>  (k2_anproj_1(k15_euclid(3), C)=k2_anproj_1(k15_euclid(3), D) =>  (v9_struct_0(C, k15_euclid(3)) |  (v9_struct_0(D, k15_euclid(3)) |  (k6_euclid_5(A, B, C)=k5_numbers <=> k6_euclid_5(A, B, D)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_anproj_8, axiom,  (k1_funct_1(k4_matrixr2(3), 1)=k2_euclid_8 &  (k1_funct_1(k4_matrixr2(3), 2)=k3_euclid_8 & k1_funct_1(k4_matrixr2(3), 3)=k4_euclid_8) ) ).
fof(t62_anproj_8, axiom,  (k6_matrixr2(3, 1)=k2_euclid_8 &  (k6_matrixr2(3, 2)=k3_euclid_8 & k6_matrixr2(3, 3)=k4_euclid_8) ) ).
fof(t63_anproj_8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (k3_finseq_1(B)=3 =>  (k8_matrix_0(A, k10_laplace(A, B), 1)=k9_finseq_1(k1_funct_1(B, 1)) &  (k8_matrix_0(A, k10_laplace(A, B), 2)=k9_finseq_1(k1_funct_1(B, 2)) & k8_matrix_0(A, k10_laplace(A, B), 3)=k9_finseq_1(k1_funct_1(B, 3))) ) ) ) ) ) ) ).
fof(t64_anproj_8, axiom,  (k8_matrix_0(k1_numbers, k10_laplace(k1_numbers, k2_euclid_8), 1)=k9_finseq_1(1) &  (k8_matrix_0(k1_numbers, k10_laplace(k1_numbers, k2_euclid_8), 2)=k9_finseq_1(k5_numbers) & k8_matrix_0(k1_numbers, k10_laplace(k1_numbers, k2_euclid_8), 3)=k9_finseq_1(k5_numbers)) ) ).
fof(t65_anproj_8, axiom,  (k8_matrix_0(k1_numbers, k10_laplace(k1_numbers, k3_euclid_8), 1)=k9_finseq_1(k5_numbers) &  (k8_matrix_0(k1_numbers, k10_laplace(k1_numbers, k3_euclid_8), 2)=k9_finseq_1(1) & k8_matrix_0(k1_numbers, k10_laplace(k1_numbers, k3_euclid_8), 3)=k9_finseq_1(k5_numbers)) ) ).
fof(t66_anproj_8, axiom,  (k8_matrix_0(k1_numbers, k10_laplace(k1_numbers, k4_euclid_8), 1)=k9_finseq_1(k5_numbers) &  (k8_matrix_0(k1_numbers, k10_laplace(k1_numbers, k4_euclid_8), 2)=k9_finseq_1(k5_numbers) & k8_matrix_0(k1_numbers, k10_laplace(k1_numbers, k4_euclid_8), 3)=k9_finseq_1(1)) ) ).
fof(t67_anproj_8, axiom,  (k8_matrix_0(u1_struct_0(k2_vectsp_1), k3_matrix_1(k2_vectsp_1, 3), 1)=k11_finseq_1(1, k5_numbers, k5_numbers) &  (k8_matrix_0(u1_struct_0(k2_vectsp_1), k3_matrix_1(k2_vectsp_1, 3), 2)=k11_finseq_1(k5_numbers, 1, k5_numbers) & k8_matrix_0(u1_struct_0(k2_vectsp_1), k3_matrix_1(k2_vectsp_1, 3), 3)=k11_finseq_1(k5_numbers, k5_numbers, 1)) ) ).
fof(t68_anproj_8, axiom,  (k7_matrix_0(u1_struct_0(k2_vectsp_1), k3_matrix_1(k2_vectsp_1, 3), 1)=k11_finseq_1(1, k5_numbers, k5_numbers) &  (k7_matrix_0(u1_struct_0(k2_vectsp_1), k3_matrix_1(k2_vectsp_1, 3), 2)=k11_finseq_1(k5_numbers, 1, k5_numbers) & k7_matrix_0(u1_struct_0(k2_vectsp_1), k3_matrix_1(k2_vectsp_1, 3), 3)=k11_finseq_1(k5_numbers, k5_numbers, 1)) ) ).
fof(t69_anproj_8, axiom,  (k4_matrix_0(k1_numbers, k10_laplace(k1_numbers, k2_euclid_8))=k11_finseq_1(k9_finseq_1(1), k9_finseq_1(k5_numbers), k9_finseq_1(k5_numbers)) &  (k4_matrix_0(k1_numbers, k10_laplace(k1_numbers, k3_euclid_8))=k11_finseq_1(k9_finseq_1(k5_numbers), k9_finseq_1(1), k9_finseq_1(k5_numbers)) & k4_matrix_0(k1_numbers, k10_laplace(k1_numbers, k4_euclid_8))=k11_finseq_1(k9_finseq_1(k5_numbers), k9_finseq_1(k5_numbers), k9_finseq_1(1))) ) ).
fof(t70_anproj_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, B) =>  (r2_tarski(A, k4_finseq_1(C)) => k3_matrix_0(B, k10_laplace(B, C), 1, A)=k1_funct_1(C, A)) ) ) ) ) ) ) ).
fof(t71_anproj_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, B) =>  (r2_tarski(A, k4_finseq_1(C)) => k8_matrix_0(B, k10_laplace(B, C), A)=k9_finseq_1(k1_funct_1(C, A))) ) ) ) ) ) ) ).
fof(t72_anproj_8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(3)) =>  (B=C => k1_matrixr1(k9_matrixr1(C))=k4_matrix_0(A, k10_laplace(A, B))) ) ) ) ) ) ) ).
fof(t73_anproj_8, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (D=k11_finseq_1(k11_finseq_1(k1_euclid_5(A), k2_euclid_5(A), k3_euclid_5(A)), k11_finseq_1(k1_euclid_5(B), k2_euclid_5(B), k3_euclid_5(B)), k11_finseq_1(k1_euclid_5(C), k2_euclid_5(C), k3_euclid_5(C))) =>  (k7_matrix_0(u1_struct_0(k2_vectsp_1), D, 1)=A &  (k7_matrix_0(u1_struct_0(k2_vectsp_1), D, 2)=B & k7_matrix_0(u1_struct_0(k2_vectsp_1), D, 3)=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t74_anproj_8, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (D=k11_finseq_1(k11_finseq_1(k1_euclid_5(A), k2_euclid_5(A), k3_euclid_5(A)), k11_finseq_1(k1_euclid_5(B), k2_euclid_5(B), k3_euclid_5(B)), k11_finseq_1(k1_euclid_5(C), k2_euclid_5(C), k3_euclid_5(C))) =>  (k8_matrix_0(u1_struct_0(k2_vectsp_1), D, 1)=k11_finseq_1(k1_euclid_5(A), k1_euclid_5(B), k1_euclid_5(C)) &  (k8_matrix_0(u1_struct_0(k2_vectsp_1), D, 2)=k11_finseq_1(k2_euclid_5(A), k2_euclid_5(B), k2_euclid_5(C)) & k8_matrix_0(u1_struct_0(k2_vectsp_1), D, 3)=k11_finseq_1(k3_euclid_5(A), k3_euclid_5(B), k3_euclid_5(C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_anproj_8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) => k1_matrix_0(k10_laplace(A, B))=k3_finseq_1(B)) ) ) ) ).
fof(t76_anproj_8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (k3_finseq_1(B)=3 =>  (k7_matrix_0(A, k4_matrix_0(A, k10_laplace(A, B)), 1)=k9_finseq_1(k1_funct_1(B, 1)) &  (k7_matrix_0(A, k4_matrix_0(A, k10_laplace(A, B)), 2)=k9_finseq_1(k1_funct_1(B, 2)) & k7_matrix_0(A, k4_matrix_0(A, k10_laplace(A, B)), 3)=k9_finseq_1(k1_funct_1(B, 3))) ) ) ) ) ) ) ).
fof(t77_anproj_8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (k3_finseq_1(B)=3 => k4_matrix_0(A, k10_laplace(A, B))=k11_finseq_1(k9_finseq_1(k1_funct_1(B, 1)), k9_finseq_1(k1_funct_1(B, 2)), k9_finseq_1(k1_funct_1(B, 3)))) ) ) ) ) ).
fof(d1_anproj_8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (k3_finseq_1(B)=3 => k1_anproj_8(A, B)=k11_finseq_1(k9_finseq_1(k1_funct_1(B, 1)), k9_finseq_1(k1_funct_1(B, 2)), k9_finseq_1(k1_funct_1(B, 3)))) ) ) ) ) ).
fof(t78_anproj_8, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (k3_finseq_1(A)=3 => k3_finseq_1(k1_anproj_8(k1_numbers, A))=3) ) ) ).
fof(t79_anproj_8, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (k3_finseq_1(A)=3 =>  (v3_card_1(A, 3) & m2_finseq_1(A, k1_numbers)) ) ) ) ).
fof(t80_anproj_8, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (A=k4_euclid_5(k5_numbers, k5_numbers, k5_numbers) => k1_anproj_8(k1_numbers, A)=k11_finseq_1(k9_finseq_1(k5_numbers), k9_finseq_1(k5_numbers), k9_finseq_1(k5_numbers))) ) ) ).
fof(t81_anproj_8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (k3_finseq_1(B)=3 => k3_finseq_4(k4_finseq_2(k3_finseq_1(k10_laplace(A, B)), A), k8_matrix_0(A, k10_laplace(A, B), 1), k8_matrix_0(A, k10_laplace(A, B), 2), k8_matrix_0(A, k10_laplace(A, B), 3))=k1_anproj_8(A, B)) ) ) ) ) ).
fof(d2_anproj_8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, k4_finseq_2(1, A)) =>  (k3_finseq_1(B)=3 => k2_anproj_8(A, B)=k11_finseq_1(k1_funct_1(k1_funct_1(B, 1), 1), k1_funct_1(k1_funct_1(B, 2), 1), k1_funct_1(k1_funct_1(B, 3), 1))) ) ) ) ) ).
fof(t82_anproj_8, axiom,  (! [A] :  (m2_finseq_1(A, k4_finseq_2(1, k1_numbers)) =>  (k3_finseq_1(A)=3 => m1_subset_1(k2_anproj_8(k1_numbers, A), u1_struct_0(k15_euclid(3)))) ) ) ).
fof(d3_anproj_8, axiom,  (! [A] :  (m2_finseq_1(A, k4_finseq_2(1, k1_numbers)) =>  (! [B] :  (v1_xreal_0(B) =>  (k3_finseq_1(A)=3 =>  (! [C] :  (m2_finseq_1(C, k4_finseq_2(1, k1_numbers)) =>  (C=k3_anproj_8(A, B) <=>  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (? [F] :  (v1_xreal_0(F) &  (D=k1_funct_1(k1_funct_1(A, 1), 1) &  (E=k1_funct_1(k1_funct_1(A, 2), 1) &  (F=k1_funct_1(k1_funct_1(A, 3), 1) & C=k11_finseq_1(k9_finseq_1(k3_xcmplx_0(B, D)), k9_finseq_1(k3_xcmplx_0(B, E)), k9_finseq_1(k3_xcmplx_0(B, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t83_anproj_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m2_finseq_1(B, k4_finseq_2(1, k1_numbers)) =>  (k3_finseq_1(B)=3 => k2_anproj_8(k1_numbers, k3_anproj_8(B, A))=k10_rvsum_1(k2_anproj_8(k1_numbers, B), A)) ) ) ) ) ).
fof(t84_anproj_8, axiom,  (! [A] :  (m2_finseq_1(A, k4_finseq_2(1, k1_numbers)) =>  (k3_finseq_1(A)=3 => k11_finseq_1(k9_finseq_1(k1_funct_1(k1_funct_1(A, 1), 1)), k9_finseq_1(k1_funct_1(k1_funct_1(A, 2), 1)), k9_finseq_1(k1_funct_1(k1_funct_1(A, 3), 1)))=A) ) ) ).
fof(t85_anproj_8, axiom,  (! [A] :  (m2_finseq_1(A, k4_finseq_2(1, k1_numbers)) =>  (k3_finseq_1(A)=3 => k1_anproj_8(k1_numbers, k2_anproj_8(k1_numbers, A))=A) ) ) ).
fof(t86_anproj_8, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (k3_finseq_1(A)=3 => k2_anproj_8(k1_numbers, k1_anproj_8(k1_numbers, A))=A) ) ) ).
fof(t87_anproj_8, axiom,  (k4_matrix_0(k1_numbers, k10_laplace(k1_numbers, k2_euclid_8))=k1_anproj_8(k1_numbers, k2_euclid_8) &  (k4_matrix_0(k1_numbers, k10_laplace(k1_numbers, k3_euclid_8))=k1_anproj_8(k1_numbers, k3_euclid_8) & k4_matrix_0(k1_numbers, k10_laplace(k1_numbers, k4_euclid_8))=k1_anproj_8(k1_numbers, k4_euclid_8)) ) ).
fof(t88_anproj_8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (k3_finseq_1(B)=3 => k4_matrix_0(A, k10_laplace(A, B))=k1_anproj_8(A, B)) ) ) ) ) ).
fof(t89_anproj_8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) => k7_matrix_0(A, k10_laplace(A, B), 1)=B) ) ) ) ).
fof(t90_anproj_8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, A, 3, 1) & m2_finseq_1(B, k3_finseq_2(A))) )  =>  (k7_matrix_0(A, B, 1)=k13_matrix_0(A, k3_matrix_0(A, B, 1, 1)) &  (k7_matrix_0(A, B, 2)=k13_matrix_0(A, k3_matrix_0(A, B, 2, 1)) & k7_matrix_0(A, B, 3)=k13_matrix_0(A, k3_matrix_0(A, B, 3, 1))) ) ) ) ) ) ).
fof(t91_anproj_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, u1_struct_0(A), 3, 3) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A)))) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (k3_finseq_1(C)=3 => v2_matrix_0(k4_matrix_3(A, B, k4_matrix_0(u1_struct_0(A), k10_laplace(u1_struct_0(A), C))), u1_struct_0(A), 3, 1)) ) ) ) ) ) ) ).
fof(t92_anproj_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(A), 3, 3) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A)))) )  =>  (k3_finseq_1(B)=3 =>  (k7_matrix_0(u1_struct_0(A), k4_matrix_3(A, C, k4_matrix_0(u1_struct_0(A), k10_laplace(u1_struct_0(A), B))), 1)=k13_matrix_0(u1_struct_0(A), k3_matrix_0(u1_struct_0(A), k4_matrix_3(A, C, k4_matrix_0(u1_struct_0(A), k10_laplace(u1_struct_0(A), B))), 1, 1)) &  (k7_matrix_0(u1_struct_0(A), k4_matrix_3(A, C, k4_matrix_0(u1_struct_0(A), k10_laplace(u1_struct_0(A), B))), 2)=k13_matrix_0(u1_struct_0(A), k3_matrix_0(u1_struct_0(A), k4_matrix_3(A, C, k4_matrix_0(u1_struct_0(A), k10_laplace(u1_struct_0(A), B))), 2, 1)) & k7_matrix_0(u1_struct_0(A), k4_matrix_3(A, C, k4_matrix_0(u1_struct_0(A), k10_laplace(u1_struct_0(A), B))), 3)=k13_matrix_0(u1_struct_0(A), k3_matrix_0(u1_struct_0(A), k4_matrix_3(A, C, k4_matrix_0(u1_struct_0(A), k10_laplace(u1_struct_0(A), B))), 3, 1))) ) ) ) ) ) ) ) ) ).
fof(t93_anproj_8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) => k8_matrix_0(A, k4_matrix_0(A, k10_laplace(A, B)), 1)=B) ) ) ) ).
fof(t94_anproj_8, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k2_vectsp_1)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(k2_vectsp_1)) =>  (! [F] :  (m2_finseq_1(F, u1_struct_0(k2_vectsp_1)) =>  ~ ( (A=D &  (B=E &  (C=F &  ( ~ (k6_euclid_5(A, B, C)=k5_numbers)  &  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  ~ ( (v1_matrix_6(G, 3, k2_vectsp_1) &  (k11_laplace(k2_vectsp_1, G, D)=k1_anproj_8(k1_numbers, k2_euclid_8) &  (k11_laplace(k2_vectsp_1, G, E)=k1_anproj_8(k1_numbers, k3_euclid_8) & k11_laplace(k2_vectsp_1, G, F)=k1_anproj_8(k1_numbers, k4_euclid_8)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t95_anproj_8, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [F] :  (m2_finseq_1(F, u1_struct_0(k2_vectsp_1)) =>  (! [G] :  (m2_finseq_1(G, u1_struct_0(k2_vectsp_1)) =>  (! [H] :  (m2_finseq_1(H, u1_struct_0(k2_vectsp_1)) =>  (! [I] :  (m2_finseq_1(I, k4_finseq_2(1, k1_numbers)) =>  (! [J] :  (m2_finseq_1(J, k4_finseq_2(1, k1_numbers)) =>  (! [K] :  (m2_finseq_1(K, k4_finseq_2(1, k1_numbers)) =>  ( (E=k11_finseq_1(k11_finseq_1(k1_euclid_5(A), k1_euclid_5(B), k1_euclid_5(C)), k11_finseq_1(k2_euclid_5(A), k2_euclid_5(B), k2_euclid_5(C)), k11_finseq_1(k3_euclid_5(A), k3_euclid_5(B), k3_euclid_5(C))) &  (A=F &  (B=G &  (C=H &  (I=k11_laplace(k2_vectsp_1, D, F) &  (J=k11_laplace(k2_vectsp_1, D, G) & K=k11_laplace(k2_vectsp_1, D, H)) ) ) ) ) )  => k4_matrix_0(u1_struct_0(k2_vectsp_1), k4_matrix_3(k2_vectsp_1, D, E))=k11_finseq_1(k2_anproj_8(k1_numbers, I), k2_anproj_8(k1_numbers, J), k2_anproj_8(k1_numbers, K))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t96_anproj_8, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [E] :  (m2_finseq_1(E, k4_finseq_2(1, k1_numbers)) =>  (! [F] :  (m2_finseq_1(F, k4_finseq_2(1, k1_numbers)) =>  (! [G] :  (m2_finseq_1(G, k4_finseq_2(1, k1_numbers)) =>  ( (D=k11_finseq_1(k2_anproj_8(k1_numbers, E), k2_anproj_8(k1_numbers, F), k2_anproj_8(k1_numbers, G)) &  (k12_matrix_3(3, k2_vectsp_1, D)=k5_numbers &  (k2_anproj_8(k1_numbers, E)=A &  (k2_anproj_8(k1_numbers, F)=B & k2_anproj_8(k1_numbers, G)=C) ) ) )  => k6_euclid_5(A, B, C)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t97_anproj_8, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(3))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(3))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(3))) =>  (! [H] :  (m2_finseq_1(H, k4_finseq_2(1, k1_numbers)) =>  (! [I] :  (m2_finseq_1(I, k4_finseq_2(1, k1_numbers)) =>  (! [J] :  (m2_finseq_1(J, k4_finseq_2(1, k1_numbers)) =>  (! [K] :  (m2_finseq_1(K, u1_struct_0(k2_vectsp_1)) =>  (! [L] :  (m2_finseq_1(L, u1_struct_0(k2_vectsp_1)) =>  (! [M] :  (m2_finseq_1(M, u1_struct_0(k2_vectsp_1)) =>  ( (v1_matrix_6(D, 3, k2_vectsp_1) &  (A=K &  (B=L &  (C=M &  (H=k11_laplace(k2_vectsp_1, D, K) &  (I=k11_laplace(k2_vectsp_1, D, L) &  (J=k11_laplace(k2_vectsp_1, D, M) &  (k2_anproj_8(k1_numbers, H)=E &  (k2_anproj_8(k1_numbers, I)=F & k2_anproj_8(k1_numbers, J)=G) ) ) ) ) ) ) ) )  =>  (k6_euclid_5(A, B, C)=k5_numbers <=> k6_euclid_5(E, F, G)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t98_anproj_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, u1_struct_0(k2_vectsp_1), A, 1) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  => m2_finseq_1(B, k4_finseq_2(1, k1_numbers))) ) ) ) ) ).
fof(t99_anproj_8, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k2_vectsp_1)) =>  (k3_finseq_1(A)=3 => k4_matrix_0(u1_struct_0(k2_vectsp_1), k10_laplace(u1_struct_0(k2_vectsp_1), A))=k4_matrix_3(k2_vectsp_1, k3_matrix_1(k2_vectsp_1, 3), k4_matrix_0(u1_struct_0(k2_vectsp_1), k10_laplace(u1_struct_0(k2_vectsp_1), A)))) ) ) ).
fof(t100_anproj_8, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k2_vectsp_1)) =>  ( (A=B & k4_matrix_0(u1_struct_0(k2_vectsp_1), k10_laplace(u1_struct_0(k2_vectsp_1), B))=k11_finseq_1(k9_finseq_1(k5_numbers), k9_finseq_1(k5_numbers), k9_finseq_1(k5_numbers)))  => A=k4_struct_0(k15_euclid(3))) ) ) ) ) ).
fof(t101_anproj_8, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(A, 3, k2_vectsp_1) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k2_vectsp_1)) =>  (! [E] :  (m2_finseq_1(E, k4_finseq_2(1, k1_numbers)) =>  ~ ( ( ~ (v9_struct_0(B, k15_euclid(3)))  &  (B=D &  (E=k11_laplace(k2_vectsp_1, A, D) &  (C=k2_anproj_8(k1_numbers, E) & v9_struct_0(C, k15_euclid(3))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_anproj_8, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(A, 3, k2_vectsp_1) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))))))) )  =>  (B=k4_anproj_8(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(3))) &  (? [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(3))) &  (? [F] :  (m2_finseq_1(F, u1_struct_0(k2_vectsp_1)) &  (? [G] :  (m2_finseq_1(G, k4_finseq_2(1, k1_numbers)) &  (C=k2_anproj_1(k15_euclid(3), D) &  ( ~ (v9_struct_0(D, k15_euclid(3)))  &  (D=F &  (G=k11_laplace(k2_vectsp_1, A, F) &  (E=k2_anproj_8(k1_numbers, G) &  ( ~ (v9_struct_0(E, k15_euclid(3)))  & k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), B, C)=k2_anproj_1(k15_euclid(3), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t102_anproj_8, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(A, 3, k2_vectsp_1) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (r1_collsp(k5_anproj_1(k15_euclid(3)), B, C, D) <=> r1_collsp(k5_anproj_1(k15_euclid(3)), k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(A), B), k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(A), C), k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(A), D))) ) ) ) ) ) ) ) ) ).
fof(dt_k1_anproj_8, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(B, A))  => m2_finseq_1(k1_anproj_8(A, B), k4_finseq_2(1, A))) ) ).
fof(dt_k2_anproj_8, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(B, k4_finseq_2(1, A)))  => m2_finseq_1(k2_anproj_8(A, B), A)) ) ).
fof(dt_k3_anproj_8, axiom,  (! [A, B] :  ( (m1_finseq_1(A, k4_finseq_2(1, k1_numbers)) & v1_xreal_0(B))  => m2_finseq_1(k3_anproj_8(A, B), k4_finseq_2(1, k1_numbers))) ) ).
fof(dt_k4_anproj_8, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(A, 3, k2_vectsp_1) & m1_finseq_1(A, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  (v1_funct_1(k4_anproj_8(A)) &  (v1_funct_2(k4_anproj_8(A), u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3)))) & m1_subset_1(k4_anproj_8(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))))))) ) ) ) ).
fof(fc1_anproj_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_matrix_0(k3_matrix_1(k2_vectsp_1, A)) &  (v2_matrix_0(k3_matrix_1(k2_vectsp_1, A), u1_struct_0(k2_vectsp_1), A, A) & v1_matrix_6(k3_matrix_1(k2_vectsp_1, A), A, k2_vectsp_1)) ) ) ) ).
fof(fc2_anproj_9, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_matrix_0(B) &  (v2_matrix_0(B, u1_struct_0(k2_vectsp_1), A, A) &  (v1_matrix_6(B, A, k2_vectsp_1) & m1_finseq_1(B, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) ) )  =>  (v1_matrix_0(k1_matrix_6(A, k2_vectsp_1, B)) &  (v2_matrix_0(k1_matrix_6(A, k2_vectsp_1, B), u1_struct_0(k2_vectsp_1), A, A) & v1_matrix_6(k1_matrix_6(A, k2_vectsp_1, B), A, k2_vectsp_1)) ) ) ) ).
fof(fc3_anproj_9, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) &  (v1_matrix_6(C, A, B) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) ) )  &  (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) &  (v1_matrix_6(D, A, B) & m1_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) ) ) ) ) )  =>  (v1_matrix_0(k4_matrix_3(B, C, D)) & v1_matrix_6(k4_matrix_3(B, C, D), A, B)) ) ) ).
fof(fc4_anproj_9, axiom,  ~ (v1_xboole_0(k1_anproj_9)) ).
fof(fc5_anproj_9, axiom,  ( ~ (v2_struct_0(k4_anproj_9))  &  (v15_algstr_0(k4_anproj_9) &  (v2_group_1(k4_anproj_9) & v3_group_1(k4_anproj_9)) ) ) ).
fof(fc6_anproj_9, axiom,  (! [A, B] :  ( ( ( ~ (v9_struct_0(A, k2_vectsp_1))  & m1_subset_1(A, u1_struct_0(k2_vectsp_1)))  &  (v1_matrix_0(B) &  (v2_matrix_0(B, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(B, 3, k2_vectsp_1) & m1_finseq_1(B, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) ) )  =>  (v1_matrix_0(k6_matrix_3(k2_vectsp_1, B, A)) &  (v2_matrix_0(k6_matrix_3(k2_vectsp_1, B, A), u1_struct_0(k2_vectsp_1), 3, 3) & v1_matrix_6(k6_matrix_3(k2_vectsp_1, B, A), 3, k2_vectsp_1)) ) ) ) ).
fof(t1_anproj_9, axiom, k3_matrix_1(k2_vectsp_1, 3)=k11_finseq_1(k11_finseq_1(1, k5_numbers, k5_numbers), k11_finseq_1(k5_numbers, 1, k5_numbers), k11_finseq_1(k5_numbers, k5_numbers, 1))).
fof(t2_anproj_9, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_vectsp_1)) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  => k2_matrix13(3, 3, k2_vectsp_1, B, A)=k4_matrix_3(k2_vectsp_1, k2_matrix13(3, 3, k2_vectsp_1, k3_matrix_1(k2_vectsp_1, 3), A), B)) ) ) ) ).
fof(t3_anproj_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  ~ ( ( ~ (A=k5_numbers)  &  ( ~ (v9_struct_0(B, k15_euclid(3)))  & v9_struct_0(k1_rlvect_1(k15_euclid(3), B, A), k15_euclid(3))) ) ) ) ) ) ) ).
fof(t4_anproj_9, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_vectsp_1)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_vectsp_1)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_vectsp_1)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_vectsp_1)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_vectsp_1)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_vectsp_1)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k2_vectsp_1)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k2_vectsp_1)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k2_vectsp_1)) =>  (! [J] :  ( (v1_matrix_0(J) &  (v2_matrix_0(J, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(J, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (J=k11_finseq_1(k3_finseq_4(u1_struct_0(k2_vectsp_1), A, B, C), k3_finseq_4(u1_struct_0(k2_vectsp_1), D, E, F), k3_finseq_4(u1_struct_0(k2_vectsp_1), G, H, I)) =>  (k7_matrix_0(u1_struct_0(k2_vectsp_1), J, 1)=k3_finseq_4(u1_struct_0(k2_vectsp_1), A, B, C) &  (k7_matrix_0(u1_struct_0(k2_vectsp_1), J, 2)=k3_finseq_4(u1_struct_0(k2_vectsp_1), D, E, F) & k7_matrix_0(u1_struct_0(k2_vectsp_1), J, 3)=k3_finseq_4(u1_struct_0(k2_vectsp_1), G, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_anproj_9, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_vectsp_1)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_vectsp_1)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_vectsp_1)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_vectsp_1)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_vectsp_1)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_vectsp_1)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k2_vectsp_1)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k2_vectsp_1)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k2_vectsp_1)) =>  (! [J] :  ( (v1_matrix_0(J) &  (v2_matrix_0(J, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(J, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (J=k11_finseq_1(k3_finseq_4(u1_struct_0(k2_vectsp_1), A, B, C), k3_finseq_4(u1_struct_0(k2_vectsp_1), D, E, F), k3_finseq_4(u1_struct_0(k2_vectsp_1), G, H, I)) =>  (k8_matrix_0(u1_struct_0(k2_vectsp_1), J, 1)=k3_finseq_4(u1_struct_0(k2_vectsp_1), A, D, G) &  (k8_matrix_0(u1_struct_0(k2_vectsp_1), J, 2)=k3_finseq_4(u1_struct_0(k2_vectsp_1), B, E, H) & k8_matrix_0(u1_struct_0(k2_vectsp_1), J, 3)=k3_finseq_4(u1_struct_0(k2_vectsp_1), C, F, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_anproj_9, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_vectsp_1)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_vectsp_1)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_vectsp_1)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_vectsp_1)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_vectsp_1)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_vectsp_1)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k2_vectsp_1)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k2_vectsp_1)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k2_vectsp_1)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(k2_vectsp_1)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(k2_vectsp_1)) =>  (! [L] :  (m1_subset_1(L, u1_struct_0(k2_vectsp_1)) =>  (! [M] :  (m1_subset_1(M, u1_struct_0(k2_vectsp_1)) =>  (! [N] :  (m1_subset_1(N, u1_struct_0(k2_vectsp_1)) =>  (! [O] :  (m1_subset_1(O, u1_struct_0(k2_vectsp_1)) =>  (! [P] :  (m1_subset_1(P, u1_struct_0(k2_vectsp_1)) =>  (! [Q] :  (m1_subset_1(Q, u1_struct_0(k2_vectsp_1)) =>  (! [R] :  (m1_subset_1(R, u1_struct_0(k2_vectsp_1)) =>  (! [S] :  ( (v1_matrix_0(S) &  (v2_matrix_0(S, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(S, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [T] :  ( (v1_matrix_0(T) &  (v2_matrix_0(T, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(T, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  ( (S=k11_finseq_1(k3_finseq_4(u1_struct_0(k2_vectsp_1), A, B, C), k3_finseq_4(u1_struct_0(k2_vectsp_1), D, E, F), k3_finseq_4(u1_struct_0(k2_vectsp_1), G, H, I)) & T=k11_finseq_1(k3_finseq_4(u1_struct_0(k2_vectsp_1), J, K, L), k3_finseq_4(u1_struct_0(k2_vectsp_1), M, N, O), k3_finseq_4(u1_struct_0(k2_vectsp_1), P, Q, R)))  => k4_matrix_3(k2_vectsp_1, S, T)=k11_finseq_1(k3_finseq_4(u1_struct_0(k2_vectsp_1), k3_rlvect_1(k2_vectsp_1, k3_rlvect_1(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, A, J), k6_algstr_0(k2_vectsp_1, B, M)), k6_algstr_0(k2_vectsp_1, C, P)), k3_rlvect_1(k2_vectsp_1, k3_rlvect_1(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, A, K), k6_algstr_0(k2_vectsp_1, B, N)), k6_algstr_0(k2_vectsp_1, C, Q)), k3_rlvect_1(k2_vectsp_1, k3_rlvect_1(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, A, L), k6_algstr_0(k2_vectsp_1, B, O)), k6_algstr_0(k2_vectsp_1, C, R))), k3_finseq_4(u1_struct_0(k2_vectsp_1), k3_rlvect_1(k2_vectsp_1, k3_rlvect_1(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, D, J), k6_algstr_0(k2_vectsp_1, E, M)), k6_algstr_0(k2_vectsp_1, F, P)), k3_rlvect_1(k2_vectsp_1, k3_rlvect_1(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, D, K), k6_algstr_0(k2_vectsp_1, E, N)), k6_algstr_0(k2_vectsp_1, F, Q)), k3_rlvect_1(k2_vectsp_1, k3_rlvect_1(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, D, L), k6_algstr_0(k2_vectsp_1, E, O)), k6_algstr_0(k2_vectsp_1, F, R))), k3_finseq_4(u1_struct_0(k2_vectsp_1), k3_rlvect_1(k2_vectsp_1, k3_rlvect_1(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, G, J), k6_algstr_0(k2_vectsp_1, H, M)), k6_algstr_0(k2_vectsp_1, I, P)), k3_rlvect_1(k2_vectsp_1, k3_rlvect_1(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, G, K), k6_algstr_0(k2_vectsp_1, H, N)), k6_algstr_0(k2_vectsp_1, I, Q)), k3_rlvect_1(k2_vectsp_1, k3_rlvect_1(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, G, L), k6_algstr_0(k2_vectsp_1, H, O)), k6_algstr_0(k2_vectsp_1, I, R))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_anproj_9, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_vectsp_1)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_vectsp_1)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_vectsp_1)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_vectsp_1)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_vectsp_1)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_vectsp_1)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k2_vectsp_1)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k2_vectsp_1)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k2_vectsp_1)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(k2_vectsp_1)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(k2_vectsp_1)) =>  (! [L] :  (m1_subset_1(L, u1_struct_0(k2_vectsp_1)) =>  (! [M] :  ( (v1_matrix_0(M) &  (v2_matrix_0(M, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(M, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [N] :  ( (v1_matrix_0(N) &  (v2_matrix_0(N, u1_struct_0(k2_vectsp_1), 3, 1) & m2_finseq_1(N, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  ( (M=k11_finseq_1(k3_finseq_4(u1_struct_0(k2_vectsp_1), A, B, C), k3_finseq_4(u1_struct_0(k2_vectsp_1), D, E, F), k3_finseq_4(u1_struct_0(k2_vectsp_1), G, H, I)) & N=k11_finseq_1(k13_matrix_0(u1_struct_0(k2_vectsp_1), J), k13_matrix_0(u1_struct_0(k2_vectsp_1), K), k13_matrix_0(u1_struct_0(k2_vectsp_1), L)))  => k4_matrix_3(k2_vectsp_1, M, N)=k11_finseq_1(k13_matrix_0(u1_struct_0(k2_vectsp_1), k3_rlvect_1(k2_vectsp_1, k3_rlvect_1(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, A, J), k6_algstr_0(k2_vectsp_1, B, K)), k6_algstr_0(k2_vectsp_1, C, L))), k13_matrix_0(u1_struct_0(k2_vectsp_1), k3_rlvect_1(k2_vectsp_1, k3_rlvect_1(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, D, J), k6_algstr_0(k2_vectsp_1, E, K)), k6_algstr_0(k2_vectsp_1, F, L))), k13_matrix_0(u1_struct_0(k2_vectsp_1), k3_rlvect_1(k2_vectsp_1, k3_rlvect_1(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, G, J), k6_algstr_0(k2_vectsp_1, H, K)), k6_algstr_0(k2_vectsp_1, I, L))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_anproj_9, axiom,  (! [A] :  ( ( ~ (v9_struct_0(A, k2_vectsp_1))  & m1_subset_1(A, u1_struct_0(k2_vectsp_1)))  =>  (! [B] :  ( ( ~ (v9_struct_0(B, k2_vectsp_1))  & m1_subset_1(B, u1_struct_0(k2_vectsp_1)))  =>  (! [C] :  ( ( ~ (v9_struct_0(C, k2_vectsp_1))  & m1_subset_1(C, u1_struct_0(k2_vectsp_1)))  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  ( (D=k11_finseq_1(k11_finseq_1(A, k5_numbers, k5_numbers), k11_finseq_1(k5_numbers, B, k5_numbers), k11_finseq_1(k5_numbers, k5_numbers, C)) & E=k11_finseq_1(k11_finseq_1(k7_xcmplx_0(1, A), k5_numbers, k5_numbers), k11_finseq_1(k5_numbers, k7_xcmplx_0(1, B), k5_numbers), k11_finseq_1(k5_numbers, k5_numbers, k7_xcmplx_0(1, C))))  =>  (k4_matrix_3(k2_vectsp_1, D, E)=k3_matrix_1(k2_vectsp_1, 3) & k4_matrix_3(k2_vectsp_1, E, D)=k3_matrix_1(k2_vectsp_1, 3)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_anproj_9, axiom,  (! [A] :  ( ( ~ (v9_struct_0(A, k2_vectsp_1))  & m1_subset_1(A, u1_struct_0(k2_vectsp_1)))  =>  (! [B] :  ( ( ~ (v9_struct_0(B, k2_vectsp_1))  & m1_subset_1(B, u1_struct_0(k2_vectsp_1)))  =>  (! [C] :  ( ( ~ (v9_struct_0(C, k2_vectsp_1))  & m1_subset_1(C, u1_struct_0(k2_vectsp_1)))  =>  (v1_matrix_0(k11_finseq_1(k11_finseq_1(A, k5_numbers, k5_numbers), k11_finseq_1(k5_numbers, B, k5_numbers), k11_finseq_1(k5_numbers, k5_numbers, C))) &  (v2_matrix_0(k11_finseq_1(k11_finseq_1(A, k5_numbers, k5_numbers), k11_finseq_1(k5_numbers, B, k5_numbers), k11_finseq_1(k5_numbers, k5_numbers, C)), u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(k11_finseq_1(k11_finseq_1(A, k5_numbers, k5_numbers), k11_finseq_1(k5_numbers, B, k5_numbers), k11_finseq_1(k5_numbers, k5_numbers, C)), 3, k2_vectsp_1) & m2_finseq_1(k11_finseq_1(k11_finseq_1(A, k5_numbers, k5_numbers), k11_finseq_1(k5_numbers, B, k5_numbers), k11_finseq_1(k5_numbers, k5_numbers, C)), k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) ) ) ) ) ) ) ) ).
fof(t10_anproj_9, axiom,  ( ~ (v9_struct_0(k4_euclid_5(1, k5_numbers, k5_numbers), k15_euclid(3)))  &  ( ~ (v9_struct_0(k4_euclid_5(k5_numbers, 1, k5_numbers), k15_euclid(3)))  &  ( ~ (v9_struct_0(k4_euclid_5(k5_numbers, k5_numbers, 1), k15_euclid(3)))  &  ~ (v9_struct_0(k4_euclid_5(1, 1, 1), k15_euclid(3))) ) ) ) ).
fof(t11_anproj_9, axiom,  ( ~ (k4_euclid_5(1, k5_numbers, k5_numbers)=k4_struct_0(k15_euclid(3)))  &  ( ~ (k4_euclid_5(k5_numbers, 1, k5_numbers)=k4_struct_0(k15_euclid(3)))  &  ( ~ (k4_euclid_5(k5_numbers, k5_numbers, 1)=k4_struct_0(k15_euclid(3)))  &  ~ (k4_euclid_5(1, 1, 1)=k4_struct_0(k15_euclid(3))) ) ) ) ).
fof(t12_anproj_9, axiom,  ( ~ (k2_euclid_8=k4_struct_0(k15_euclid(3)))  &  ( ~ (k3_euclid_8=k4_struct_0(k15_euclid(3)))  &  ~ (k4_euclid_8=k4_struct_0(k15_euclid(3))) ) ) ).
fof(t13_anproj_9, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(A, 3, k2_vectsp_1) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(B, 3, k2_vectsp_1) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_anproj_1(k15_euclid(3)))) => k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(A), k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(B), C))=k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(k4_matrix_3(k2_vectsp_1, A, B)), C)) ) ) ) ) ) ).
fof(t14_anproj_9, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3)))) => k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(k3_matrix_1(k2_vectsp_1, 3)), A)=A) ) ).
fof(t15_anproj_9, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(A, 3, k2_vectsp_1) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(A), k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(k1_matrix_6(3, k2_vectsp_1, A)), B))=B & k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(k1_matrix_6(3, k2_vectsp_1, A)), k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(A), B))=B) ) ) ) ) ).
fof(t16_anproj_9, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(A, 3, k2_vectsp_1) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(A), B)=k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(A), C) => B=C) ) ) ) ) ) ) ).
fof(t17_anproj_9, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(A, 3, k2_vectsp_1) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [C] :  ( ( ~ (v9_struct_0(C, k2_vectsp_1))  & m1_subset_1(C, u1_struct_0(k2_vectsp_1)))  =>  (k2_matrix13(3, 3, k2_vectsp_1, k3_matrix_1(k2_vectsp_1, 3), C)=A => k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(A), B)=B) ) ) ) ) ) ) ).
fof(d2_anproj_9, axiom,  (! [A] :  (m1_subset_1(A, k1_anproj_9) =>  (! [B] :  (m1_subset_1(B, k1_anproj_9) =>  (! [C] :  (m1_subset_1(C, k1_anproj_9) =>  (C=k2_anproj_9(A, B) <=>  (? [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(D, 3, k2_vectsp_1) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  &  (? [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(E, 3, k2_vectsp_1) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  &  (A=k4_anproj_8(D) &  (B=k4_anproj_8(E) & C=k4_anproj_8(k4_matrix_3(k2_vectsp_1, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_anproj_9, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(A, 3, k2_vectsp_1) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(B, 3, k2_vectsp_1) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  (! [C] :  (m1_subset_1(C, k1_anproj_9) =>  (! [D] :  (m1_subset_1(D, k1_anproj_9) =>  ( (C=k4_anproj_8(A) & D=k4_anproj_8(B))  => k4_anproj_8(k4_matrix_3(k2_vectsp_1, A, B))=k2_anproj_9(C, D)) ) ) ) ) ) ) ) ) ).
fof(t19_anproj_9, axiom,  (! [A] :  (m1_subset_1(A, k1_anproj_9) =>  (! [B] :  (m1_subset_1(B, k1_anproj_9) =>  (! [C] :  (m1_subset_1(C, k1_anproj_9) => k2_anproj_9(k2_anproj_9(A, B), C)=k2_anproj_9(A, k2_anproj_9(B, C))) ) ) ) ) ) ).
fof(d3_anproj_9, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_anproj_9, k1_anproj_9), k1_anproj_9) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_anproj_9, k1_anproj_9), k1_anproj_9)))) )  =>  (A=k3_anproj_9 <=>  (! [B] :  (m1_subset_1(B, k1_anproj_9) =>  (! [C] :  (m1_subset_1(C, k1_anproj_9) => k4_binop_1(k1_anproj_9, A, B, C)=k2_anproj_9(B, C)) ) ) ) ) ) ) ).
fof(d4_anproj_9, axiom, k4_anproj_9=g3_algstr_0(k1_anproj_9, k3_anproj_9)).
fof(t20_anproj_9, axiom, k1_group_1(k4_anproj_9)=k4_anproj_8(k3_matrix_1(k2_vectsp_1, 3))).
fof(t21_anproj_9, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k4_anproj_9)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_anproj_9)) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(C, 3, k2_vectsp_1) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(D, 3, k2_vectsp_1) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  ( (A=k4_anproj_8(C) &  (B=k4_anproj_8(D) & D=k1_matrix_6(3, k2_vectsp_1, C)) )  => B=k2_group_1(k4_anproj_9, A)) ) ) ) ) ) ) ) ) ).
fof(d5_anproj_9, axiom, k5_anproj_9=k2_anproj_1(k15_euclid(3), k4_euclid_5(1, k5_numbers, k5_numbers))).
fof(d6_anproj_9, axiom, k6_anproj_9=k2_anproj_1(k15_euclid(3), k4_euclid_5(k5_numbers, 1, k5_numbers))).
fof(d7_anproj_9, axiom, k7_anproj_9=k2_anproj_1(k15_euclid(3), k4_euclid_5(k5_numbers, k5_numbers, 1))).
fof(d8_anproj_9, axiom, k8_anproj_9=k2_anproj_1(k15_euclid(3), k4_euclid_5(1, 1, 1))).
fof(t22_anproj_9, axiom,  ( ~ (k5_anproj_9=k6_anproj_9)  &  ( ~ (k5_anproj_9=k7_anproj_9)  &  ( ~ (k5_anproj_9=k8_anproj_9)  &  ( ~ (k6_anproj_9=k7_anproj_9)  &  ( ~ (k6_anproj_9=k8_anproj_9)  &  ~ (k7_anproj_9=k8_anproj_9) ) ) ) ) ) ).
fof(t23_anproj_9, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(A, 3, k2_vectsp_1) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [C] :  ( ( ~ (v9_struct_0(C, k2_vectsp_1))  & m1_subset_1(C, u1_struct_0(k2_vectsp_1)))  => k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(k2_matrix13(3, 3, k2_vectsp_1, A, C)), B)=k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(A), B)) ) ) ) ) ) ).
fof(t24_anproj_9, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  ~ ( ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), A, B, C))  &  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(D, 3, k2_vectsp_1) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  ~ ( (k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(D), A)=k5_anproj_9 &  (k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(D), B)=k6_anproj_9 & k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(D), C)=k7_anproj_9) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_anproj_9, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(A, 3, k2_vectsp_1) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  (! [B] :  ( ( ~ (v9_struct_0(B, k2_vectsp_1))  & m1_subset_1(B, u1_struct_0(k2_vectsp_1)))  =>  (! [C] :  ( ( ~ (v9_struct_0(C, k2_vectsp_1))  & m1_subset_1(C, u1_struct_0(k2_vectsp_1)))  =>  (! [D] :  ( ( ~ (v9_struct_0(D, k2_vectsp_1))  & m1_subset_1(D, u1_struct_0(k2_vectsp_1)))  =>  (A=k11_finseq_1(k11_finseq_1(B, k5_numbers, k5_numbers), k11_finseq_1(k5_numbers, C, k5_numbers), k11_finseq_1(k5_numbers, k5_numbers, D)) =>  (k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(A), k5_anproj_9)=k5_anproj_9 &  (k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(A), k6_anproj_9)=k6_anproj_9 & k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(A), k7_anproj_9)=k7_anproj_9) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_anproj_9, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (? [B] :  (m1_subset_1(B, u1_struct_0(k2_vectsp_1)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(k2_vectsp_1)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(k2_vectsp_1)) &  (A=k2_anproj_1(k15_euclid(3), k4_euclid_5(B, C, D)) &  ~ ( (B=k5_numbers &  (C=k5_numbers & D=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_anproj_9, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  ~ ( ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), k5_anproj_9, k6_anproj_9, A))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), k5_anproj_9, k7_anproj_9, A))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), k6_anproj_9, k7_anproj_9, A))  &  (! [B] :  ( ( ~ (v9_struct_0(B, k2_vectsp_1))  & m1_subset_1(B, u1_struct_0(k2_vectsp_1)))  =>  (! [C] :  ( ( ~ (v9_struct_0(C, k2_vectsp_1))  & m1_subset_1(C, u1_struct_0(k2_vectsp_1)))  =>  (! [D] :  ( ( ~ (v9_struct_0(D, k2_vectsp_1))  & m1_subset_1(D, u1_struct_0(k2_vectsp_1)))  =>  ~ (A=k2_anproj_1(k15_euclid(3), k4_euclid_5(B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_anproj_9, axiom,  (! [A] :  ( ( ~ (v9_struct_0(A, k2_vectsp_1))  & m1_subset_1(A, u1_struct_0(k2_vectsp_1)))  =>  (! [B] :  ( ( ~ (v9_struct_0(B, k2_vectsp_1))  & m1_subset_1(B, u1_struct_0(k2_vectsp_1)))  =>  (! [C] :  ( ( ~ (v9_struct_0(C, k2_vectsp_1))  & m1_subset_1(C, u1_struct_0(k2_vectsp_1)))  =>  (! [D] :  ( ( ~ (v9_struct_0(D, k2_vectsp_1))  & m1_subset_1(D, u1_struct_0(k2_vectsp_1)))  =>  (! [E] :  ( ( ~ (v9_struct_0(E, k2_vectsp_1))  & m1_subset_1(E, u1_struct_0(k2_vectsp_1)))  =>  (! [F] :  ( ( ~ (v9_struct_0(F, k2_vectsp_1))  & m1_subset_1(F, u1_struct_0(k2_vectsp_1)))  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [H] :  ( (v1_matrix_0(H) &  (v2_matrix_0(H, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(H, 3, k2_vectsp_1) & m2_finseq_1(H, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  ( (G=k2_anproj_1(k15_euclid(3), k4_euclid_5(A, B, C)) &  (D=k7_xcmplx_0(1, A) &  (E=k7_xcmplx_0(1, B) &  (F=k7_xcmplx_0(1, C) & H=k11_finseq_1(k11_finseq_1(D, k5_numbers, k5_numbers), k11_finseq_1(k5_numbers, E, k5_numbers), k11_finseq_1(k5_numbers, k5_numbers, F))) ) ) )  => k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(H), G)=k2_anproj_1(k15_euclid(3), k4_euclid_5(1, 1, 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_anproj_9, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  ~ ( ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), k5_anproj_9, k6_anproj_9, A))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), k5_anproj_9, k7_anproj_9, A))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), k6_anproj_9, k7_anproj_9, A))  &  (! [B] :  ( ( ~ (v9_struct_0(B, k2_vectsp_1))  & m1_subset_1(B, u1_struct_0(k2_vectsp_1)))  =>  (! [C] :  ( ( ~ (v9_struct_0(C, k2_vectsp_1))  & m1_subset_1(C, u1_struct_0(k2_vectsp_1)))  =>  (! [D] :  ( ( ~ (v9_struct_0(D, k2_vectsp_1))  & m1_subset_1(D, u1_struct_0(k2_vectsp_1)))  =>  (? [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(E, 3, k2_vectsp_1) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  &  (E=k11_finseq_1(k11_finseq_1(B, k5_numbers, k5_numbers), k11_finseq_1(k5_numbers, C, k5_numbers), k11_finseq_1(k5_numbers, k5_numbers, D)) &  ~ (k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(E), A)=k8_anproj_9) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_anproj_9, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  ~ ( ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), A, B, C))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), A, B, D))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), A, C, D))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), B, C, D))  &  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(E, 3, k2_vectsp_1) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  ~ ( (k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(E), A)=k5_anproj_9 &  (k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(E), B)=k6_anproj_9 &  (k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(E), C)=k7_anproj_9 & k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(E), D)=k8_anproj_9) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_anproj_9, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  ~ ( ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), A, B, C))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), A, B, D))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), A, C, D))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), B, C, D))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), E, F, G))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), E, F, H))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), E, G, H))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), F, G, H))  &  (! [I] :  ( (v1_matrix_0(I) &  (v2_matrix_0(I, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(I, 3, k2_vectsp_1) & m2_finseq_1(I, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  ~ ( (k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(I), A)=E &  (k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(I), B)=F &  (k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(I), C)=G & k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(I), D)=H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k2_anproj_9, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_anproj_9) & m1_subset_1(B, k1_anproj_9))  => m1_subset_1(k2_anproj_9(A, B), k1_anproj_9)) ) ).
fof(dt_k3_anproj_9, axiom,  (v1_funct_1(k3_anproj_9) &  (v1_funct_2(k3_anproj_9, k2_zfmisc_1(k1_anproj_9, k1_anproj_9), k1_anproj_9) & m1_subset_1(k3_anproj_9, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_anproj_9, k1_anproj_9), k1_anproj_9)))) ) ).
fof(dt_k4_anproj_9, axiom,  (v15_algstr_0(k4_anproj_9) & l3_algstr_0(k4_anproj_9)) ).
fof(dt_k5_anproj_9, axiom, m1_subset_1(k5_anproj_9, u1_struct_0(k5_anproj_1(k15_euclid(3))))).
fof(dt_k6_anproj_9, axiom, m1_subset_1(k6_anproj_9, u1_struct_0(k5_anproj_1(k15_euclid(3))))).
fof(dt_k7_anproj_9, axiom, m1_subset_1(k7_anproj_9, u1_struct_0(k5_anproj_1(k15_euclid(3))))).
fof(dt_k8_anproj_9, axiom, m1_subset_1(k8_anproj_9, u1_struct_0(k5_anproj_1(k15_euclid(3))))).
fof(d1_anproj_9, axiom, k1_anproj_9=a_0_0_anproj_9).
fof(fraenkel_a_0_0_anproj_9, axiom,  (! [A] :  (r2_hidden(A, a_0_0_anproj_9) <=>  (? [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(B, 3, k2_vectsp_1) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  & A=k4_anproj_8(B)) ) ) ) ).
fof(fc1_aofa_000, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  => v2_relat_1(k10_finseq_1(A, B))) ) ).
fof(fc2_aofa_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v2_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc3_aofa_000, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & v7_ordinal1(C)) )  =>  ( ~ (v1_xboole_0(k2_funcop_1(k4_finseq_2(C, A), B)))  &  (v1_funct_1(k2_funcop_1(k4_finseq_2(C, A), B)) &  (v2_margrel1(k2_funcop_1(k4_finseq_2(C, A), B)) & v3_margrel1(k2_funcop_1(k4_finseq_2(C, A), B), A)) ) ) ) ) ).
fof(fc4_aofa_000, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & v7_ordinal1(C)) )  =>  (v1_funct_1(k2_funcop_1(k4_finseq_2(C, A), B)) &  (v2_margrel1(k2_funcop_1(k4_finseq_2(C, A), B)) & v8_comput_1(k2_funcop_1(k4_finseq_2(C, A), B), C)) ) ) ) ).
fof(rc1_aofa_000, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), A))) &  (v1_relat_1(B) &  (v4_relat_1(B, k3_finseq_2(A)) &  (v5_relat_1(B, A) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v2_margrel1(B) &  (v3_margrel1(B, A) &  (v8_comput_1(B, 2) &  (v1_aofa_000(B) & v2_aofa_000(B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_aofa_000, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), A))) &  (v1_relat_1(B) &  (v4_relat_1(B, k3_finseq_2(A)) &  (v5_relat_1(B, A) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v2_margrel1(B) &  (v3_margrel1(B, A) & v8_comput_1(B, k5_numbers)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_aofa_000, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), A))) &  (v1_relat_1(B) &  (v4_relat_1(B, k3_finseq_2(A)) &  (v5_relat_1(B, A) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v2_margrel1(B) &  (v3_margrel1(B, A) & v8_comput_1(B, 3)) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_aofa_000, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(A, k4_ordinal1))  &  ( ~ (v1_xboole_0(B))  & v1_freealg(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_freealg(A, B))) =>  (v1_relat_1(C) & v1_funct_1(C)) ) ) ) ) ).
fof(cc2_aofa_000, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(A, k4_ordinal1))  &  ( ~ (v1_xboole_0(B))  & v1_freealg(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_freealg(A, B))) => v3_trees_2(C)) ) ) ) ).
fof(cc3_aofa_000, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(A, k4_ordinal1))  &  ( ~ (v1_xboole_0(B))  & v1_freealg(B)) )  =>  (! [C] :  (m1_finseq_1(C, u1_struct_0(k7_freealg(A, B))) => v6_trees_3(C)) ) ) ) ).
fof(fc5_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_freealg(A) & l1_unialg_1(A)) ) ) ) )  => v2_freealg(k10_aofa_000(A), A)) ) ).
fof(fc6_aofa_000, axiom,  (! [A, B] : v1_freealg(k2_zfmisc_1(A, B))) ).
fof(rc4_aofa_000, axiom,  (? [A] :  (l1_unialg_1(A) &  ( ~ (v2_struct_0(A))  &  (v1_unialg_1(A) &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v7_aofa_000(A) & v8_aofa_000(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc7_aofa_000, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_freealg(A))  =>  ( ~ (v2_struct_0(k7_freealg(k19_aofa_000, A)))  &  (v1_unialg_1(k7_freealg(k19_aofa_000, A)) &  (v2_unialg_1(k7_freealg(k19_aofa_000, A)) &  (v3_unialg_1(k7_freealg(k19_aofa_000, A)) &  (v4_unialg_1(k7_freealg(k19_aofa_000, A)) &  (v3_aofa_000(k7_freealg(k19_aofa_000, A)) &  (v4_aofa_000(k7_freealg(k19_aofa_000, A)) &  (v5_aofa_000(k7_freealg(k19_aofa_000, A)) & v6_aofa_000(k7_freealg(k19_aofa_000, A))) ) ) ) ) ) ) ) ) ) ).
fof(rc5_aofa_000, axiom,  (? [A] :  ( ~ (v1_finset_1(A))  & v1_freealg(A)) ) ).
fof(fc8_aofa_000, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v1_freealg(A))  =>  ( ~ (v2_struct_0(k7_freealg(k19_aofa_000, A)))  &  (v1_unialg_1(k7_freealg(k19_aofa_000, A)) &  (v2_unialg_1(k7_freealg(k19_aofa_000, A)) &  (v3_unialg_1(k7_freealg(k19_aofa_000, A)) &  (v4_unialg_1(k7_freealg(k19_aofa_000, A)) & v9_aofa_000(k7_freealg(k19_aofa_000, A))) ) ) ) ) ) ) ).
fof(fc9_aofa_000, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_freealg(A))  =>  ( ~ (v2_struct_0(k7_freealg(k19_aofa_000, A)))  &  (v1_unialg_1(k7_freealg(k19_aofa_000, A)) &  (v2_unialg_1(k7_freealg(k19_aofa_000, A)) &  (v3_unialg_1(k7_freealg(k19_aofa_000, A)) &  (v4_unialg_1(k7_freealg(k19_aofa_000, A)) & v12_aofa_000(k7_freealg(k19_aofa_000, A))) ) ) ) ) ) ) ).
fof(cc4_aofa_000, axiom,  (! [A] :  (l1_unialg_1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_freealg(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) & v6_aofa_000(A)) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  ( ~ (v10_aofa_000(A))  & v11_aofa_000(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc6_aofa_000, axiom,  (? [A] :  (l1_unialg_1(A) &  ( ~ (v2_struct_0(A))  &  (v1_unialg_1(A) &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_freealg(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v9_aofa_000(A) &  ( ~ (v10_aofa_000(A))  &  (v11_aofa_000(A) & v12_aofa_000(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc10_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v9_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  ~ (v1_finset_1(k18_aofa_000(A))) ) ) ).
fof(cc5_aofa_000, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(C, k1_zfmisc_1(B))) )  =>  (! [D] :  (m1_aofa_000(D, A, B, C) =>  (v13_aofa_000(D, A, B) & v14_aofa_000(D, A, B)) ) ) ) ) ).
fof(fc11_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  => v15_aofa_000(k12_aofa_000(A), A)) ) ).
fof(rc7_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) & v15_aofa_000(B, A)) ) ) ) ).
fof(fc12_aofa_000, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  &  ( (v15_aofa_000(B, A) & m1_subset_1(B, u1_struct_0(A)))  &  (v15_aofa_000(C, A) & m1_subset_1(C, u1_struct_0(A))) ) )  => v15_aofa_000(k13_aofa_000(A, B, C), A)) ) ).
fof(fc13_aofa_000, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  &  ( (v15_aofa_000(B, A) & m1_subset_1(B, u1_struct_0(A)))  &  ( (v15_aofa_000(C, A) & m1_subset_1(C, u1_struct_0(A)))  &  (v15_aofa_000(D, A) & m1_subset_1(D, u1_struct_0(A))) ) ) )  => v15_aofa_000(k14_aofa_000(A, B, C, D), A)) ) ).
fof(fc14_aofa_000, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  &  ( (v15_aofa_000(B, A) & m1_subset_1(B, u1_struct_0(A)))  &  (v15_aofa_000(C, A) & m1_subset_1(C, u1_struct_0(A))) ) )  => v15_aofa_000(k15_aofa_000(A, B, C), A)) ) ).
fof(t1_aofa_000, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (r1_tarski(D, k9_xtuple_0(A)) &  (r1_tarski(D, k9_xtuple_0(B)) &  (r1_tarski(k10_xtuple_0(C), D) &  (! [E] :  (r2_tarski(E, D) => k1_funct_1(A, E)=k1_funct_1(B, E)) ) ) ) )  => k3_relat_1(C, A)=k3_relat_1(C, B)) ) ) ) ) ) ) ) ).
fof(d1_aofa_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_margrel1(A)) )  =>  (! [B] :  (r1_aofa_000(A, B) <=>  (! [C] :  (! [D] :  ( (r2_tarski(k10_finseq_1(C, D), k9_xtuple_0(A)) | r2_tarski(k10_finseq_1(D, C), k9_xtuple_0(A)))  =>  (r2_tarski(k10_finseq_1(B, C), k9_xtuple_0(A)) &  (k1_funct_1(A, k10_finseq_1(B, C))=C &  (r2_tarski(k10_finseq_1(C, B), k9_xtuple_0(A)) & k1_funct_1(A, k10_finseq_1(C, B))=C) ) ) ) ) ) ) ) ) ) ).
fof(d2_aofa_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_margrel1(A)) )  =>  (v1_aofa_000(A) <=>  (! [B] :  (! [C] :  (! [D] :  ( (r2_tarski(k10_finseq_1(B, C), k9_xtuple_0(A)) &  (r2_tarski(k10_finseq_1(C, D), k9_xtuple_0(A)) &  (r2_tarski(k10_finseq_1(k1_funct_1(A, k10_finseq_1(B, C)), D), k9_xtuple_0(A)) & r2_tarski(k10_finseq_1(B, k1_funct_1(A, k10_finseq_1(C, D))), k9_xtuple_0(A))) ) )  => k1_funct_1(A, k10_finseq_1(k1_funct_1(A, k10_finseq_1(B, C)), D))=k1_funct_1(A, k10_finseq_1(B, k1_funct_1(A, k10_finseq_1(C, D))))) ) ) ) ) ) ) ).
fof(d3_aofa_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_margrel1(A)) )  =>  (v2_aofa_000(A) <=>  (? [B] : r1_aofa_000(A, B)) ) ) ) ).
fof(t2_aofa_000, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (v7_ordinal1(C) => k18_margrel1(k1_aofa_000(A, A, k4_finseq_2(C, A), B))=C) ) ) ) ) ) ).
fof(t3_aofa_000, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, k5_trees_3(A)) =>  (! [C] :  (! [D] :  ~ ( (r2_tarski(D, k2_relset_1(k5_trees_3(A), B)) & D=k4_trees_4(C, B)) ) ) ) ) ) ) ) ).
fof(d4_aofa_000, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] : k2_aofa_000(A, B, C)=k1_funct_4(B, k5_relat_1(A, C))) ) ) ) ) ).
fof(t4_aofa_000, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (! [D] :  ( (r2_tarski(C, D) & r1_tarski(D, k9_xtuple_0(A)))  => k1_funct_1(k2_aofa_000(A, B, D), C)=k1_funct_1(A, C)) ) ) ) ) ) ) ).
fof(t5_aofa_000, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (! [D] :  (r2_tarski(C, k9_xtuple_0(B)) =>  (r2_hidden(C, D) | k1_funct_1(k2_aofa_000(A, B, D), C)=k1_funct_1(B, C)) ) ) ) ) ) ) ) ).
fof(t6_aofa_000, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (r2_tarski(B, k9_xtuple_0(A)) => r2_tarski(B, k5_aofa_000(A, B))) ) ) ) ).
fof(t7_aofa_000, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  ( (r1_tarski(k10_xtuple_0(A), k9_xtuple_0(A)) & r2_tarski(C, k5_aofa_000(A, B)))  => r2_tarski(k1_funct_1(A, C), k5_aofa_000(A, B))) ) ) ) ) ).
fof(t8_aofa_000, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (r2_tarski(B, k9_xtuple_0(A)) => r2_tarski(k1_funct_1(A, B), k5_aofa_000(A, B))) ) ) ) ).
fof(t9_aofa_000, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (r2_tarski(B, k9_xtuple_0(A)) => r1_tarski(k5_aofa_000(A, k1_funct_1(A, B)), k5_aofa_000(A, B))) ) ) ) ).
fof(d6_aofa_000, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (r1_tarski(k10_xtuple_0(A), k9_xtuple_0(A)) =>  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (D=k6_aofa_000(A, B, C) <=>  (k9_xtuple_0(D)=k9_xtuple_0(A) &  (! [E] :  (r2_tarski(E, k9_xtuple_0(A)) =>  ( (r1_tarski(k5_aofa_000(A, E), B) => k1_funct_1(D, E)=C)  &  (! [F] :  (v7_ordinal1(F) =>  ( (! [G] :  (v7_ordinal1(G) =>  ( ~ (r1_xxreal_0(F, G))  => r2_tarski(k1_funct_1(k8_funct_7(A, G), E), B)) ) )  =>  (r2_hidden(k1_funct_1(k8_funct_7(A, F), E), B) | k1_funct_1(D, E)=k1_funct_1(k8_funct_7(A, F), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_aofa_000, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (r1_tarski(k10_xtuple_0(A), k9_xtuple_0(A)) =>  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (D=k7_aofa_000(A, B, C) <=>  (k9_xtuple_0(D)=k9_xtuple_0(A) &  (! [E] :  (r2_tarski(E, k9_xtuple_0(A)) =>  ( (r1_tarski(k5_aofa_000(A, E), B) => k1_funct_1(D, E)=k1_funct_1(C, E))  &  (! [F] :  (v7_ordinal1(F) =>  ( (! [G] :  (v7_ordinal1(G) =>  ( ~ (r1_xxreal_0(F, G))  => r2_tarski(k1_funct_1(k8_funct_7(A, G), E), B)) ) )  =>  (r2_hidden(k1_funct_1(k8_funct_7(A, F), E), B) | k1_funct_1(D, E)=k1_funct_1(k8_funct_7(A, F), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_aofa_000, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (! [D] :  ~ ( (r1_tarski(k10_xtuple_0(A), k9_xtuple_0(A)) &  (r2_tarski(C, k9_xtuple_0(A)) &  ( ~ (r1_tarski(k5_aofa_000(A, C), D))  &  (! [E] :  (v7_ordinal1(E) =>  ~ ( (k1_funct_1(k7_aofa_000(A, D, B), C)=k1_funct_1(k8_funct_7(A, E), C) &  ( ~ (r2_hidden(k1_funct_1(k8_funct_7(A, E), C), D))  &  (! [F] :  (v7_ordinal1(F) =>  ( ~ (r1_xxreal_0(E, F))  => r2_tarski(k1_funct_1(k8_funct_7(A, F), C), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_aofa_000, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (! [D] :  ( (r1_tarski(k10_xtuple_0(A), k9_xtuple_0(A)) &  (r2_tarski(C, k9_xtuple_0(A)) &  (k3_relat_1(A, B)=B & r2_tarski(C, D)) ) )  => k1_funct_1(k7_aofa_000(A, D, B), C)=k1_funct_1(k7_aofa_000(A, D, B), k1_funct_1(A, C))) ) ) ) ) ) ) ).
fof(t12_aofa_000, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (! [D] :  ( (r1_tarski(k10_xtuple_0(A), k9_xtuple_0(A)) & r2_tarski(C, k9_xtuple_0(A)))  =>  (r2_hidden(C, D) | k1_funct_1(k7_aofa_000(A, D, B), C)=C) ) ) ) ) ) ) ) ).
fof(t13_aofa_000, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, k4_ordinal1))  =>  (? [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_unialg_1(C) &  (v3_unialg_1(C) &  (v4_unialg_1(C) & l1_unialg_1(C)) ) ) )  &  (u1_struct_0(C)=A & k1_unialg_1(C)=B) ) ) ) ) ) ) ).
fof(t14_aofa_000, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, k4_ordinal1))  =>  (? [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  &  (u1_struct_0(B)=k4_ordinal1 &  (k1_unialg_1(B)=A &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(C, k4_finseq_1(A)) & D=k1_recdef_1(A, C))  => k1_funct_1(u1_unialg_1(B), C)=k7_funcop_1(k4_finseq_2(D, k4_ordinal1), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_aofa_000, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r2_tarski(B, k4_finseq_1(A)) & C=k1_recdef_1(A, B))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_finseq_2(C, D), D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(C, D), D)))) )  =>  (? [F] :  ( ( ~ (v2_struct_0(F))  &  (v2_unialg_1(F) &  (v3_unialg_1(F) &  (v4_unialg_1(F) & l1_unialg_1(F)) ) ) )  &  (u1_struct_0(F)=D &  (k1_unialg_1(F)=A & k1_funct_1(u1_unialg_1(F), B)=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lang1(A))  =>  (! [B] :  ~ ( (r2_tarski(B, k4_dtconstr(A)) &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r2_tarski(C, k1_lang1(A)) & B=k2_trees_4(u1_struct_0(A), C)) ) ) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_trees_4(D, k5_trees_3(u1_struct_0(A)), k4_dtconstr(A)) =>  ~ ( (r1_lang1(A, C, k1_dtconstr(u1_struct_0(A), k5_trees_3(u1_struct_0(A)), D)) & B=k8_trees_4(u1_struct_0(A), C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_aofa_000, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_freealg(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k7_freealg(B, A))) =>  (k3_finseq_1(D)=k1_recdef_1(B, C) => k1_funct_1(k2_pua2mss1(k7_freealg(B, A), k10_subset_1(C, k4_finseq_1(u1_unialg_1(k7_freealg(B, A))))), D)=k4_trees_4(C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t18_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k9_aofa_000(A, B, k5_numbers)=B) ) ) ) ).
fof(t20_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (r2_tarski(D, k9_aofa_000(A, B, k1_nat_1(C, 1))) <=>  ~ ( ( ~ (r2_tarski(D, k9_aofa_000(A, B, C)))  &  (! [E] :  (m2_subset_1(E, k4_ordinal1, k4_finseq_1(u1_unialg_1(A))) =>  (! [F] :  (m2_finseq_2(F, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  ~ ( (D=k1_funct_1(k2_pua2mss1(A, E), F) &  (r2_tarski(F, k1_relset_1(k3_finseq_2(u1_struct_0(A)), k2_pua2mss1(A, E))) & r1_tarski(k2_relset_1(u1_struct_0(A), F), k9_aofa_000(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(C, D) => r1_tarski(k9_aofa_000(A, B, C), k9_aofa_000(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t22_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(B, C) =>  (! [D] :  (v7_ordinal1(D) => r1_tarski(k9_aofa_000(A, B, D), k9_aofa_000(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t23_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (r2_tarski(D, k9_aofa_000(A, B, k1_nat_1(C, 1))) <=>  ~ ( ( ~ (r2_tarski(D, B))  &  (! [E] :  (m2_subset_1(E, k4_ordinal1, k4_finseq_1(u1_unialg_1(A))) =>  (! [F] :  (m2_finseq_2(F, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  ~ ( (D=k1_funct_1(k2_pua2mss1(A, E), F) &  (r2_tarski(F, k1_relset_1(k3_finseq_2(u1_struct_0(A)), k2_pua2mss1(A, E))) & r1_tarski(k2_relset_1(u1_struct_0(A), F), k9_aofa_000(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (r2_tarski(B, k10_aofa_000(A)) <=>  (! [C] :  (m5_margrel1(C, u1_struct_0(A), k1_unialg_2(A)) =>  ~ (r2_tarski(B, k2_relset_1(u1_struct_0(A), C))) ) ) ) ) ) ) ) ).
fof(t27_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_unialg_2(B, A) => r1_tarski(k6_unialg_2(A), B)) ) ) ) ) ).
fof(t28_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (k6_unialg_2(A)=k1_xboole_0 => v1_unialg_2(k1_struct_0(A), A)) ) ) ).
fof(t29_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (k6_unialg_2(A)=k1_xboole_0 =>  (! [B] :  (m1_freealg(B, A) =>  ~ (B=k1_xboole_0) ) ) ) ) ) ).
fof(t30_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (m1_freealg(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (v7_ordinal1(D) & r2_tarski(C, k9_aofa_000(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t31_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_freealg(C, A) =>  (r1_tarski(C, B) => m1_freealg(B, A)) ) ) ) ) ) ) ).
fof(t32_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m1_freealg(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (! [D] :  (m5_margrel1(D, u1_struct_0(A), k1_unialg_2(A)) =>  ~ (r2_tarski(C, k2_relset_1(u1_struct_0(A), D))) ) )  => r2_tarski(C, B)) ) ) ) ) ) ) ).
fof(t33_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m1_freealg(B, A) => r1_tarski(k10_aofa_000(A), B)) ) ) ) ).
fof(t34_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_freealg(A) & l1_unialg_1(A)) ) ) ) )  =>  (! [B] :  ( (v2_freealg(B, A) & m1_freealg(B, A))  => B=k10_aofa_000(A)) ) ) ) ).
fof(t35_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_freealg(A) & l1_unialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_freealg(B, A) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_unialg_1(C) &  (v3_unialg_1(C) &  (v4_unialg_1(C) & l1_unialg_1(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C))))) )  =>  ( (r1_alg_1(A, C, D) &  (r1_alg_1(A, C, E) & r2_relset_1(u1_struct_0(A), u1_struct_0(C), k2_partfun1(u1_struct_0(A), u1_struct_0(C), D, B), k2_partfun1(u1_struct_0(A), u1_struct_0(C), E, B))) )  => r2_funct_2(u1_struct_0(A), u1_struct_0(C), D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_freealg(A) & l1_unialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, k4_ordinal1, k4_finseq_1(u1_unialg_1(A))) =>  (! [C] :  (m2_subset_1(C, k4_ordinal1, k4_finseq_1(u1_unialg_1(A))) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  ( (r2_tarski(D, k1_relset_1(k3_finseq_2(u1_struct_0(A)), k2_pua2mss1(A, B))) &  (r2_tarski(E, k1_relset_1(k3_finseq_2(u1_struct_0(A)), k2_pua2mss1(A, C))) & k1_funct_1(k2_pua2mss1(A, B), D)=k1_funct_1(k2_pua2mss1(A, C), E)) )  =>  (B=C & D=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_freealg(A) & l1_unialg_1(A)) ) ) ) )  =>  (! [B] :  (m5_margrel1(B, u1_struct_0(A), k1_unialg_2(A)) =>  (! [C] :  (m5_margrel1(C, u1_struct_0(A), k1_unialg_2(A)) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  ( (r2_tarski(D, k1_relset_1(k3_finseq_2(u1_struct_0(A)), B)) &  (r2_tarski(E, k1_relset_1(k3_finseq_2(u1_struct_0(A)), C)) & k1_funct_1(B, D)=k1_funct_1(C, E)) )  =>  (r2_relset_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A), B, C) & D=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_freealg(A) & l1_unialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, k4_ordinal1, k4_finseq_1(u1_unialg_1(A))) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r2_tarski(C, k1_relset_1(k3_finseq_2(u1_struct_0(A)), k2_pua2mss1(A, B))) =>  (! [D] :  ~ ( (r2_tarski(D, k10_xtuple_0(C)) & D=k1_funct_1(k2_pua2mss1(A, B), C)) ) ) ) ) ) ) ) ) ) ).
fof(t39_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_freealg(A) & l1_unialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_freealg(B, A) =>  (! [C] :  (m2_subset_1(C, k4_ordinal1, k4_finseq_1(u1_unialg_1(A))) =>  ( (! [D] :  (m2_subset_1(D, k4_ordinal1, k4_finseq_1(u1_unialg_1(A))) =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  ~ ( (r2_tarski(E, k1_relset_1(k3_finseq_2(u1_struct_0(A)), k2_pua2mss1(A, D))) &  (r2_tarski(k1_funct_1(k2_pua2mss1(A, D), E), B) & D=C) ) ) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (r2_tarski(D, k1_relset_1(k3_finseq_2(u1_struct_0(A)), k2_pua2mss1(A, C))) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(k1_funct_1(k2_pua2mss1(A, C), D), k9_aofa_000(A, B, k1_nat_1(E, 1))) => r1_tarski(k10_xtuple_0(D), k9_aofa_000(A, B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_freealg(A) & l1_unialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, k4_ordinal1, k4_finseq_1(u1_unialg_1(A))) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r2_tarski(C, k1_relset_1(k3_finseq_2(u1_struct_0(A)), k2_pua2mss1(A, B))) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(k1_funct_1(k2_pua2mss1(A, B), C), k9_aofa_000(A, k11_aofa_000(A), k1_nat_1(D, 1))) => r1_tarski(k10_xtuple_0(C), k9_aofa_000(A, k11_aofa_000(A), D))) ) ) ) ) ) ) ) ) ) ).
fof(d10_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_unialg_1(A))  =>  (v3_aofa_000(A) <=>  (r2_tarski(1, k4_finseq_1(u1_unialg_1(A))) &  ( ~ (v1_xboole_0(k1_funct_1(u1_unialg_1(A), 1)))  &  (v1_funct_1(k1_funct_1(u1_unialg_1(A), 1)) &  (v2_margrel1(k1_funct_1(u1_unialg_1(A), 1)) &  (v3_margrel1(k1_funct_1(u1_unialg_1(A), 1), u1_struct_0(A)) &  (v8_comput_1(k1_funct_1(u1_unialg_1(A), 1), k5_numbers) & m1_subset_1(k1_funct_1(u1_unialg_1(A), 1), k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ) ) ) ) ) ).
fof(d11_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_unialg_1(A))  =>  (v4_aofa_000(A) <=>  (r2_tarski(2, k4_finseq_1(u1_unialg_1(A))) &  ( ~ (v1_xboole_0(k1_funct_1(u1_unialg_1(A), 2)))  &  (v1_funct_1(k1_funct_1(u1_unialg_1(A), 2)) &  (v2_margrel1(k1_funct_1(u1_unialg_1(A), 2)) &  (v3_margrel1(k1_funct_1(u1_unialg_1(A), 2), u1_struct_0(A)) &  (v8_comput_1(k1_funct_1(u1_unialg_1(A), 2), 2) & m1_subset_1(k1_funct_1(u1_unialg_1(A), 2), k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ) ) ) ) ) ).
fof(d12_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_unialg_1(A))  =>  (v5_aofa_000(A) <=>  (r2_tarski(3, k4_finseq_1(u1_unialg_1(A))) &  ( ~ (v1_xboole_0(k1_funct_1(u1_unialg_1(A), 3)))  &  (v1_funct_1(k1_funct_1(u1_unialg_1(A), 3)) &  (v2_margrel1(k1_funct_1(u1_unialg_1(A), 3)) &  (v3_margrel1(k1_funct_1(u1_unialg_1(A), 3), u1_struct_0(A)) &  (v8_comput_1(k1_funct_1(u1_unialg_1(A), 3), 3) & m1_subset_1(k1_funct_1(u1_unialg_1(A), 3), k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ) ) ) ) ) ).
fof(d13_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_unialg_1(A))  =>  (v6_aofa_000(A) <=>  (r2_tarski(4, k4_finseq_1(u1_unialg_1(A))) &  ( ~ (v1_xboole_0(k1_funct_1(u1_unialg_1(A), 4)))  &  (v1_funct_1(k1_funct_1(u1_unialg_1(A), 4)) &  (v2_margrel1(k1_funct_1(u1_unialg_1(A), 4)) &  (v3_margrel1(k1_funct_1(u1_unialg_1(A), 4), u1_struct_0(A)) &  (v8_comput_1(k1_funct_1(u1_unialg_1(A), 4), 2) & m1_subset_1(k1_funct_1(u1_unialg_1(A), 4), k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ) ) ) ) ) ).
fof(d14_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_unialg_1(A))  =>  (v7_aofa_000(A) <=>  ( ~ (v1_xboole_0(k1_funct_1(u1_unialg_1(A), 2)))  &  (v1_funct_1(k1_funct_1(u1_unialg_1(A), 2)) &  (v2_margrel1(k1_funct_1(u1_unialg_1(A), 2)) &  (v3_margrel1(k1_funct_1(u1_unialg_1(A), 2), u1_struct_0(A)) &  (v8_comput_1(k1_funct_1(u1_unialg_1(A), 2), 2) &  (v1_aofa_000(k1_funct_1(u1_unialg_1(A), 2)) & m1_subset_1(k1_funct_1(u1_unialg_1(A), 2), k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ) ) ) ) ) ).
fof(d15_aofa_000, axiom,  (! [A] :  ( (v4_unialg_1(A) & l1_unialg_1(A))  =>  (v8_aofa_000(A) <=>  (? [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v2_margrel1(B) &  (v3_margrel1(B, u1_struct_0(A)) &  (v8_comput_1(B, 2) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A))))) ) ) ) )  &  (B=k1_funct_1(u1_unialg_1(A), 2) & r1_aofa_000(B, k1_funct_1(k2_pua2mss1(A, k10_subset_1(1, k4_finseq_1(u1_unialg_1(A)))), k1_xboole_0))) ) ) ) ) ) ).
fof(t41_aofa_000, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) &  (v2_margrel1(C) &  (v3_margrel1(C, A) &  (v8_comput_1(C, 2) &  (v1_aofa_000(C) &  (v2_aofa_000(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), A)))) ) ) ) ) ) )  =>  (r1_aofa_000(C, B) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_funct_1(D) &  (v2_margrel1(D) &  (v3_margrel1(D, A) &  (v8_comput_1(D, 3) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), A)))) ) ) ) )  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v1_funct_1(E) &  (v2_margrel1(E) &  (v3_margrel1(E, A) &  (v8_comput_1(E, 2) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), A)))) ) ) ) )  =>  (? [F] :  ( (v1_unialg_1(F) &  (v4_unialg_1(F) & l1_unialg_1(F)) )  &  (u1_struct_0(F)=A &  (u1_unialg_1(F)=k8_finseq_1(k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), A)), k2_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), A)), k1_aofa_000(A, A, k4_finseq_2(k5_numbers, A), B), C), k2_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), A)), D, E)) &  (v3_aofa_000(F) &  (v4_aofa_000(F) &  (v8_aofa_000(F) &  (v7_aofa_000(F) &  (v5_aofa_000(F) &  (v6_aofa_000(F) &  (v3_unialg_1(F) & v2_unialg_1(F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_aofa_000, axiom,  (! [A] :  ( (v4_unialg_1(A) &  (v3_aofa_000(A) & l1_unialg_1(A)) )  => k1_relset_1(k3_finseq_2(u1_struct_0(A)), k2_pua2mss1(A, k10_subset_1(1, k4_finseq_1(u1_unialg_1(A)))))=k1_tarski(k1_xboole_0)) ) ).
fof(d16_aofa_000, axiom,  (! [A] :  ( (v4_unialg_1(A) &  (v3_aofa_000(A) & l1_unialg_1(A)) )  => k12_aofa_000(A)=k1_funct_1(k2_pua2mss1(A, k10_subset_1(1, k4_finseq_1(u1_unialg_1(A)))), k1_xboole_0)) ) ).
fof(t43_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) & l1_unialg_1(A)) ) ) ) )  =>  (! [B] :  (m5_margrel1(B, u1_struct_0(A), k1_unialg_2(A)) =>  (r2_relset_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A), B, k2_pua2mss1(A, k10_subset_1(1, k4_finseq_1(u1_unialg_1(A))))) =>  (k18_margrel1(B)=k5_numbers & r2_tarski(k12_aofa_000(A), k2_relset_1(u1_struct_0(A), B))) ) ) ) ) ) ).
fof(t44_aofa_000, axiom,  (! [A] :  ( (v4_unialg_1(A) &  (v4_aofa_000(A) & l1_unialg_1(A)) )  => k1_relset_1(k3_finseq_2(u1_struct_0(A)), k2_pua2mss1(A, k10_subset_1(2, k4_finseq_1(u1_unialg_1(A)))))=k4_finseq_2(2, u1_struct_0(A))) ) ).
fof(d17_aofa_000, axiom,  (! [A] :  ( (v4_unialg_1(A) &  (v4_aofa_000(A) & l1_unialg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k13_aofa_000(A, B, C)=k1_funct_1(k2_pua2mss1(A, k10_subset_1(2, k4_finseq_1(u1_unialg_1(A)))), k2_finseq_4(u1_struct_0(A), B, C))) ) ) ) ) ) ).
fof(t45_aofa_000, axiom,  (! [A] :  ( (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v8_aofa_000(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k13_aofa_000(A, k12_aofa_000(A), B)=B & k13_aofa_000(A, B, k12_aofa_000(A))=B) ) ) ) ) ).
fof(t46_aofa_000, axiom,  (! [A] :  ( (v4_unialg_1(A) &  (v4_aofa_000(A) &  (v7_aofa_000(A) & l1_unialg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k13_aofa_000(A, k13_aofa_000(A, B, C), D)=k13_aofa_000(A, B, k13_aofa_000(A, C, D))) ) ) ) ) ) ) ) ).
fof(t47_aofa_000, axiom,  (! [A] :  ( (v4_unialg_1(A) &  (v5_aofa_000(A) & l1_unialg_1(A)) )  => k1_relset_1(k3_finseq_2(u1_struct_0(A)), k2_pua2mss1(A, k10_subset_1(3, k4_finseq_1(u1_unialg_1(A)))))=k4_finseq_2(3, u1_struct_0(A))) ) ).
fof(d18_aofa_000, axiom,  (! [A] :  ( (v4_unialg_1(A) &  (v5_aofa_000(A) & l1_unialg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k14_aofa_000(A, B, C, D)=k1_funct_1(k2_pua2mss1(A, k10_subset_1(3, k4_finseq_1(u1_unialg_1(A)))), k3_finseq_4(u1_struct_0(A), B, C, D))) ) ) ) ) ) ) ) ).
fof(d19_aofa_000, axiom,  (! [A] :  ( (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v5_aofa_000(A) & l1_unialg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k15_aofa_000(A, B, C)=k14_aofa_000(A, B, C, k12_aofa_000(A))) ) ) ) ) ) ).
fof(t48_aofa_000, axiom,  (! [A] :  ( (v4_unialg_1(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) )  => k1_relset_1(k3_finseq_2(u1_struct_0(A)), k2_pua2mss1(A, k10_subset_1(4, k4_finseq_1(u1_unialg_1(A)))))=k4_finseq_2(2, u1_struct_0(A))) ) ).
fof(d20_aofa_000, axiom,  (! [A] :  ( (v4_unialg_1(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k16_aofa_000(A, B, C)=k1_funct_1(k2_pua2mss1(A, k10_subset_1(4, k4_finseq_1(u1_unialg_1(A)))), k2_finseq_4(u1_struct_0(A), B, C))) ) ) ) ) ) ).
fof(d21_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k17_aofa_000(A, B, C, D, E)=k13_aofa_000(A, B, k16_aofa_000(A, C, k13_aofa_000(A, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t49_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  ~ (r2_hidden(k12_aofa_000(A), k18_aofa_000(A))) ) ) ).
fof(t50_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=k13_aofa_000(A, B, C))  &  ( ~ (C=k13_aofa_000(A, B, C))  & r2_hidden(k13_aofa_000(A, B, C), k18_aofa_000(A))) ) ) ) ) ) ) ) ) ).
fof(t51_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ (r2_hidden(k14_aofa_000(A, B, C, D), k18_aofa_000(A))) ) ) ) ) ) ) ) ) ).
fof(t52_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ (r2_hidden(k16_aofa_000(A, B, C), k18_aofa_000(A))) ) ) ) ) ) ) ).
fof(t53_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ ( ( ~ (r2_hidden(B, k18_aofa_000(A)))  &  ( ~ (B=k12_aofa_000(A))  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (B=k13_aofa_000(A, C, D) &  ( ~ (C=k13_aofa_000(A, C, D))  &  ~ (D=k13_aofa_000(A, C, D)) ) ) ) ) ) ) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ (B=k14_aofa_000(A, C, D, E)) ) ) ) ) ) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ (B=k16_aofa_000(A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d23_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (v9_aofa_000(A) <=>  ~ (v1_finset_1(k18_aofa_000(A))) ) ) ) ).
fof(d24_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (v10_aofa_000(A) <=>  ~ ( ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ ( ( ~ (B=k12_aofa_000(A))  & k13_aofa_000(A, B, C)=C) )  &  ( ~ ( ( ~ (C=k12_aofa_000(A))  & k13_aofa_000(A, B, C)=B) )  &  ~ ( ( ~ ( (B=k12_aofa_000(A) & C=k12_aofa_000(A)) )  & k13_aofa_000(A, B, C)=k12_aofa_000(A)) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ (k14_aofa_000(A, B, C, D)=k12_aofa_000(A)) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ (k16_aofa_000(A, B, C)=k12_aofa_000(A)) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( ( ~ (B=k12_aofa_000(A))  &  ( ~ (C=k12_aofa_000(A))  & k13_aofa_000(A, B, C)=k14_aofa_000(A, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (B=k12_aofa_000(A))  &  ( ~ (C=k12_aofa_000(A))  & k13_aofa_000(A, B, C)=k16_aofa_000(A, D, E)) ) ) ) ) ) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ (k14_aofa_000(A, B, C, D)=k16_aofa_000(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d25_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (v11_aofa_000(A) <=> m1_freealg(k18_aofa_000(A), A)) ) ) ).
fof(d26_aofa_000, axiom, k19_aofa_000=k8_finseq_1(k4_ordinal1, k2_finseq_4(k4_ordinal1, k5_numbers, 2), k2_finseq_4(k4_ordinal1, 3, 2))).
fof(t54_aofa_000, axiom,  (k3_finseq_1(k19_aofa_000)=4 &  (k4_finseq_1(k19_aofa_000)=k2_finseq_1(4) &  (k1_recdef_1(k19_aofa_000, 1)=k5_numbers &  (k1_recdef_1(k19_aofa_000, 2)=2 &  (k1_recdef_1(k19_aofa_000, 3)=3 & k1_recdef_1(k19_aofa_000, 4)=2) ) ) ) ) ).
fof(d27_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) )  =>  (v12_aofa_000(A) <=> k1_unialg_1(A)=k19_aofa_000) ) ) ).
fof(t55_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) )  =>  (v12_aofa_000(A) =>  (! [B] :  (m2_subset_1(B, k4_ordinal1, k4_finseq_1(u1_unialg_1(A))) =>  ~ ( ( ~ (B=1)  &  ( ~ (B=2)  &  ( ~ (B=3)  &  ~ (B=4) ) ) ) ) ) ) ) ) ) ).
fof(t56_aofa_000, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_freealg(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k7_freealg(k19_aofa_000, A))) =>  ~ ( ( (! [C] :  (m1_subset_1(C, A) =>  ~ (B=k2_trees_4(A, C)) ) )  &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k7_freealg(k19_aofa_000, A))) =>  ~ ( (r2_tarski(C, k2_finseq_1(4)) &  (B=k4_trees_4(C, D) & k3_finseq_1(D)=k1_recdef_1(k19_aofa_000, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_aofa_000, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_freealg(A))  => k12_aofa_000(k7_freealg(k19_aofa_000, A))=k4_trees_4(1, k1_xboole_0)) ) ).
fof(t58_aofa_000, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_freealg(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k7_freealg(k19_aofa_000, A))) =>  (m1_subset_1(k4_trees_4(1, B), u1_struct_0(k7_freealg(k19_aofa_000, A))) => B=k1_xboole_0) ) ) ) ) ).
fof(t59_aofa_000, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_freealg(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k7_freealg(k19_aofa_000, A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_freealg(k19_aofa_000, A))) => k13_aofa_000(k7_freealg(k19_aofa_000, A), B, C)=k6_trees_4(2, B, C)) ) ) ) ) ) ).
fof(t60_aofa_000, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_freealg(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k7_freealg(k19_aofa_000, A))) =>  ~ ( (m1_subset_1(k4_trees_4(2, B), u1_struct_0(k7_freealg(k19_aofa_000, A))) &  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_freealg(k19_aofa_000, A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_freealg(k19_aofa_000, A))) =>  ~ (B=k2_finseq_4(u1_struct_0(k7_freealg(k19_aofa_000, A)), C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_aofa_000, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_freealg(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k7_freealg(k19_aofa_000, A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_freealg(k19_aofa_000, A))) =>  ( ~ (k13_aofa_000(k7_freealg(k19_aofa_000, A), B, C)=B)  &  ~ (k13_aofa_000(k7_freealg(k19_aofa_000, A), B, C)=C) ) ) ) ) ) ) ) ).
fof(t62_aofa_000, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_freealg(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k7_freealg(k19_aofa_000, A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_freealg(k19_aofa_000, A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_freealg(k19_aofa_000, A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k7_freealg(k19_aofa_000, A))) =>  (k13_aofa_000(k7_freealg(k19_aofa_000, A), B, C)=k13_aofa_000(k7_freealg(k19_aofa_000, A), D, E) =>  (B=D & C=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_aofa_000, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_freealg(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k7_freealg(k19_aofa_000, A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_freealg(k19_aofa_000, A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_freealg(k19_aofa_000, A))) => k14_aofa_000(k7_freealg(k19_aofa_000, A), B, C, D)=k4_trees_4(3, k3_finseq_4(u1_struct_0(k7_freealg(k19_aofa_000, A)), B, C, D))) ) ) ) ) ) ) ) ).
fof(t64_aofa_000, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_freealg(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k7_freealg(k19_aofa_000, A))) =>  ~ ( (m1_subset_1(k4_trees_4(3, B), u1_struct_0(k7_freealg(k19_aofa_000, A))) &  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_freealg(k19_aofa_000, A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_freealg(k19_aofa_000, A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k7_freealg(k19_aofa_000, A))) =>  ~ (B=k3_finseq_4(u1_struct_0(k7_freealg(k19_aofa_000, A)), C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_aofa_000, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_freealg(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k7_freealg(k19_aofa_000, A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_freealg(k19_aofa_000, A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_freealg(k19_aofa_000, A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k7_freealg(k19_aofa_000, A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k7_freealg(k19_aofa_000, A))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k7_freealg(k19_aofa_000, A))) =>  (k14_aofa_000(k7_freealg(k19_aofa_000, A), B, D, E)=k14_aofa_000(k7_freealg(k19_aofa_000, A), C, F, G) =>  (B=C &  (D=F & E=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_aofa_000, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_freealg(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k7_freealg(k19_aofa_000, A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_freealg(k19_aofa_000, A))) => k16_aofa_000(k7_freealg(k19_aofa_000, A), B, C)=k6_trees_4(4, B, C)) ) ) ) ) ) ).
fof(t67_aofa_000, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_freealg(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k7_freealg(k19_aofa_000, A))) =>  ~ ( (m1_subset_1(k4_trees_4(4, B), u1_struct_0(k7_freealg(k19_aofa_000, A))) &  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_freealg(k19_aofa_000, A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_freealg(k19_aofa_000, A))) =>  ~ (B=k2_finseq_4(u1_struct_0(k7_freealg(k19_aofa_000, A)), C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_aofa_000, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_freealg(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k7_freealg(k19_aofa_000, A))) =>  ~ ( (r2_tarski(B, k18_aofa_000(k7_freealg(k19_aofa_000, A))) &  (! [C] :  (m1_subset_1(C, A) =>  ~ (B=k4_trees_4(C, k1_xboole_0)) ) ) ) ) ) ) ) ) ).
fof(t69_aofa_000, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_freealg(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k7_freealg(k19_aofa_000, A))) =>  (! [C] :  (m1_subset_1(C, A) =>  (m1_subset_1(k4_trees_4(C, B), u1_struct_0(k7_freealg(k19_aofa_000, A))) => B=k1_xboole_0) ) ) ) ) ) ) ).
fof(t70_aofa_000, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_freealg(A))  =>  (k18_aofa_000(k7_freealg(k19_aofa_000, A))=k12_freealg(k19_aofa_000, A) & k1_card_1(A)=k1_card_1(k12_freealg(k19_aofa_000, A))) ) ) ).
fof(t71_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  => r1_tarski(k10_aofa_000(A), k18_aofa_000(A))) ) ).
fof(t72_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (v3_freealg(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ~ (k12_aofa_000(A)=k13_aofa_000(A, C, D))  &  ( ~ (k12_aofa_000(A)=k14_aofa_000(A, B, C, D))  &  ~ (k12_aofa_000(A)=k16_aofa_000(A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t73_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (v3_freealg(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( ~ (k13_aofa_000(A, B, C)=B)  &  ( ~ (k13_aofa_000(A, B, C)=C)  &  ( (k13_aofa_000(A, B, C)=k13_aofa_000(A, E, F) =>  (B=E & C=F) )  &  ( ~ (k13_aofa_000(A, B, C)=k14_aofa_000(A, D, E, F))  &  ~ (k13_aofa_000(A, B, C)=k16_aofa_000(A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t74_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (v3_freealg(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( ~ (k14_aofa_000(A, B, C, D)=B)  &  ( ~ (k14_aofa_000(A, B, C, D)=C)  &  ( ~ (k14_aofa_000(A, B, C, D)=D)  &  ( ~ (k14_aofa_000(A, B, C, D)=k16_aofa_000(A, E, F))  &  (k14_aofa_000(A, B, C, D)=k14_aofa_000(A, E, F, G) =>  (B=E &  (C=F & D=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (v3_freealg(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( ~ (k16_aofa_000(A, B, C)=B)  &  ( ~ (k16_aofa_000(A, B, C)=C)  &  (k16_aofa_000(A, B, C)=k16_aofa_000(A, D, E) =>  (B=D & C=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t76_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(k12_aofa_000(A), k9_aofa_000(A, B, k1_nat_1(C, 1))) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_tarski(D, k9_aofa_000(A, B, C)) &  (r2_tarski(E, k9_aofa_000(A, B, C)) & r2_tarski(F, k9_aofa_000(A, B, C))) )  =>  (r2_tarski(k13_aofa_000(A, E, F), k9_aofa_000(A, B, k1_nat_1(C, 1))) &  (r2_tarski(k14_aofa_000(A, D, E, F), k9_aofa_000(A, B, k1_nat_1(C, 1))) & r2_tarski(k16_aofa_000(A, D, E), k9_aofa_000(A, B, k1_nat_1(C, 1)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t77_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v12_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(B, k9_aofa_000(A, k18_aofa_000(A), k1_nat_1(C, 1))) &  ( ~ (r2_tarski(B, k9_aofa_000(A, k18_aofa_000(A), C)))  &  ( ~ (B=k12_aofa_000(A))  &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (B=k13_aofa_000(A, D, E) &  (r2_tarski(D, k9_aofa_000(A, k18_aofa_000(A), C)) & r2_tarski(E, k9_aofa_000(A, k18_aofa_000(A), C))) ) ) ) ) ) )  &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (B=k14_aofa_000(A, D, E, F) &  (r2_tarski(D, k9_aofa_000(A, k18_aofa_000(A), C)) &  (r2_tarski(E, k9_aofa_000(A, k18_aofa_000(A), C)) & r2_tarski(F, k9_aofa_000(A, k18_aofa_000(A), C))) ) ) ) ) ) ) ) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (B=k16_aofa_000(A, D, E) &  (r2_tarski(D, k9_aofa_000(A, k18_aofa_000(A), C)) & r2_tarski(E, k9_aofa_000(A, k18_aofa_000(A), C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t78_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k6_unialg_2(A), k9_aofa_000(A, B, 1))) ) ) ) ).
fof(t79_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (v11_aofa_000(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  (v7_ordinal1(C) & r2_tarski(B, k9_aofa_000(A, k18_aofa_000(A), C))) ) ) ) ) ) ) ).
fof(d28_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, u1_struct_0(A)), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A)), B)))) )  =>  (v13_aofa_000(C, A, B) <=>  (! [D] :  (m1_subset_1(D, B) => k2_binop_1(B, u1_struct_0(A), B, C, D, k12_aofa_000(A))=D) ) ) ) ) ) ) ) ) ).
fof(d29_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, u1_struct_0(A)), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A)), B)))) )  =>  (v14_aofa_000(C, A, B) <=>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => k2_binop_1(B, u1_struct_0(A), B, C, D, k13_aofa_000(A, E, F))=k2_binop_1(B, u1_struct_0(A), B, C, k2_binop_1(B, u1_struct_0(A), B, C, D, E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d30_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(B, u1_struct_0(A)), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A)), B)))) )  =>  (r2_aofa_000(A, B, C, D) <=>  (! [E] :  (m1_subset_1(E, B) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ( (r2_tarski(k2_binop_1(B, u1_struct_0(A), B, D, E, F), C) => k2_binop_1(B, u1_struct_0(A), B, D, E, k14_aofa_000(A, F, G, H))=k2_binop_1(B, u1_struct_0(A), B, D, k2_binop_1(B, u1_struct_0(A), B, D, E, F), G))  &  ( ~ (r2_hidden(k2_binop_1(B, u1_struct_0(A), B, D, E, F), C))  => k2_binop_1(B, u1_struct_0(A), B, D, E, k14_aofa_000(A, F, G, H))=k2_binop_1(B, u1_struct_0(A), B, D, k2_binop_1(B, u1_struct_0(A), B, D, E, F), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d31_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(B, u1_struct_0(A)), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A)), B)))) )  =>  (r3_aofa_000(A, B, C, D) <=>  (! [E] :  (m1_subset_1(E, B) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_tarski(k2_binop_1(B, u1_struct_0(A), B, D, E, F), C) => k2_binop_1(B, u1_struct_0(A), B, D, E, k16_aofa_000(A, F, G))=k2_binop_1(B, u1_struct_0(A), B, D, k2_binop_1(B, u1_struct_0(A), B, D, k2_binop_1(B, u1_struct_0(A), B, D, E, F), G), k16_aofa_000(A, F, G)))  &  ( ~ (r2_hidden(k2_binop_1(B, u1_struct_0(A), B, D, E, F), C))  => k2_binop_1(B, u1_struct_0(A), B, D, E, k16_aofa_000(A, F, G))=k2_binop_1(B, u1_struct_0(A), B, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t80_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(D)) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(D, u1_struct_0(A)), D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(D, u1_struct_0(A)), D)))) )  =>  ( (v13_aofa_000(F, A, D) & r2_aofa_000(A, D, E, F))  =>  (! [G] :  (m1_subset_1(G, D) =>  ( ~ (r2_hidden(k2_binop_1(D, u1_struct_0(A), D, F, G, B), E))  => k2_binop_1(D, u1_struct_0(A), D, F, G, k15_aofa_000(A, B, C))=k2_binop_1(D, u1_struct_0(A), D, F, G, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t81_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (v13_aofa_000(k6_trees_3(B, u1_struct_0(A)), A, B) &  (v14_aofa_000(k6_trees_3(B, u1_struct_0(A)), A, B) &  (r2_aofa_000(A, B, C, k6_trees_3(B, u1_struct_0(A))) & r3_aofa_000(A, B, C, k6_trees_3(B, u1_struct_0(A)))) ) ) ) ) ) ) ) ) ).
fof(d32_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(B, u1_struct_0(A)), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A)), B)))) )  =>  (m1_aofa_000(D, A, B, C) <=>  (v13_aofa_000(D, A, B) &  (v14_aofa_000(D, A, B) &  (r2_aofa_000(A, B, C, D) & r3_aofa_000(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d33_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, C) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(C)) =>  (! [F] :  (m1_aofa_000(F, A, C, E) =>  (r4_aofa_000(A, B, C, D, E, F) <=>  (? [G] :  ( ( ~ (v1_xboole_0(G))  & m2_finseq_1(G, C))  &  (k1_funct_1(G, 1)=D &  ( ~ (r2_hidden(k1_funct_1(G, k3_finseq_1(G)), E))  &  (! [H] :  (v7_ordinal1(H) =>  (r1_xxreal_0(1, H) =>  (r1_xxreal_0(k3_finseq_1(G), H) |  (r2_tarski(k1_funct_1(G, H), E) & k1_funct_1(G, k1_nat_1(H, 1))=k1_binop_1(F, k1_funct_1(G, H), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d34_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, C) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(C)) =>  (! [F] :  (m1_aofa_000(F, A, C, E) =>  (! [G] :  (m1_subset_1(G, k6_numbers) =>  ( (r4_aofa_000(A, B, C, D, E, F) =>  (G=k20_aofa_000(A, B, C, D, E, F) <=>  (? [H] :  ( ( ~ (v1_xboole_0(H))  & m2_finseq_1(H, C))  &  (G=k6_xcmplx_0(k3_finseq_1(H), 1) &  (k1_funct_1(H, 1)=D &  ( ~ (r2_hidden(k1_funct_1(H, k3_finseq_1(H)), E))  &  (! [I] :  (v7_ordinal1(I) =>  (r1_xxreal_0(1, I) =>  (r1_xxreal_0(k3_finseq_1(H), I) |  (r2_tarski(k1_funct_1(H, I), E) & k1_funct_1(H, k1_nat_1(I, 1))=k1_binop_1(F, k1_funct_1(H, I), B)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (r4_aofa_000(A, B, C, D, E, F))  =>  (G=k20_aofa_000(A, B, C, D, E, F) <=> G=k1_supinf_1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t82_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(C)) =>  (! [E] :  (m1_subset_1(E, C) =>  (! [F] :  (m1_aofa_000(F, A, C, D) =>  (r4_aofa_000(A, B, C, E, D, F) <=>  ~ (r1_xxreal_0(k1_supinf_1, k20_aofa_000(A, B, C, E, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t83_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(C)) =>  (! [E] :  (m1_subset_1(E, C) =>  (! [F] :  (m1_aofa_000(F, A, C, D) =>  ( ~ (r2_hidden(E, D))  =>  (r4_aofa_000(A, B, C, E, D, F) & k20_aofa_000(A, B, C, E, D, F)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t84_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(C)) =>  (! [E] :  (m1_subset_1(E, C) =>  (! [F] :  (m1_aofa_000(F, A, C, D) =>  (r2_tarski(E, D) =>  ( (r4_aofa_000(A, B, C, E, D, F) => r4_aofa_000(A, B, C, k2_binop_1(C, u1_struct_0(A), C, F, E, B), D, F))  &  ( (r4_aofa_000(A, B, C, k2_binop_1(C, u1_struct_0(A), C, F, E, B), D, F) => r4_aofa_000(A, B, C, E, D, F))  & k20_aofa_000(A, B, C, E, D, F)=k3_supinf_2(k18_supinf_2, k20_aofa_000(A, B, C, k2_binop_1(C, u1_struct_0(A), C, F, E, B), D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t85_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(C)) =>  (! [E] :  (m1_subset_1(E, C) =>  (! [F] :  (m1_aofa_000(F, A, C, D) => r1_xxreal_0(k5_numbers, k20_aofa_000(A, B, C, E, D, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t86_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(D)) =>  (! [F] :  (m1_subset_1(F, D) =>  (! [G] :  (m1_aofa_000(G, A, D, E) =>  (! [H] :  ( ( ~ (v1_xboole_0(H))  & m2_finseq_1(H, D))  =>  ( (k1_funct_1(H, 1)=k2_binop_1(D, u1_struct_0(A), D, G, F, B) &  (! [I] :  (v7_ordinal1(I) =>  (r1_xxreal_0(1, I) =>  (r1_xxreal_0(k3_finseq_1(H), I) |  (r2_tarski(k1_funct_1(H, I), E) & k1_funct_1(H, k1_nat_1(I, 1))=k1_binop_1(G, k1_funct_1(H, I), k13_aofa_000(A, C, B))) ) ) ) ) )  =>  (r2_hidden(k1_funct_1(H, k3_finseq_1(H)), E) | k2_binop_1(D, u1_struct_0(A), D, G, F, k16_aofa_000(A, B, C))=k1_funct_1(H, k3_finseq_1(H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t87_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (! [D] :  (m1_aofa_000(D, A, B, C) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, B) =>  ( ~ (r4_aofa_000(A, E, B, F, C, D))  <=> r1_tarski(k5_aofa_000(k10_funct_5(u1_struct_0(A), B, B, k9_funct_2(B, B), k12_funct_5(B, u1_struct_0(A), B, D), E), F), C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t88_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_freealg(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(k13_aofa_000(A, B, C), k9_aofa_000(A, k18_aofa_000(A), D)) &  (! [E] :  (v7_ordinal1(E) =>  ~ ( (D=k1_nat_1(E, 1) &  (r2_tarski(B, k9_aofa_000(A, k18_aofa_000(A), E)) & r2_tarski(C, k9_aofa_000(A, k18_aofa_000(A), E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t89_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_freealg(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_tarski(k14_aofa_000(A, B, C, D), k9_aofa_000(A, k18_aofa_000(A), E)) &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (E=k1_nat_1(F, 1) &  (r2_tarski(B, k9_aofa_000(A, k18_aofa_000(A), F)) &  (r2_tarski(C, k9_aofa_000(A, k18_aofa_000(A), F)) & r2_tarski(D, k9_aofa_000(A, k18_aofa_000(A), F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t90_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_freealg(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(k16_aofa_000(A, B, C), k9_aofa_000(A, k18_aofa_000(A), D)) &  (! [E] :  (v7_ordinal1(E) =>  ~ ( (D=k1_nat_1(E, 1) &  (r2_tarski(B, k9_aofa_000(A, k18_aofa_000(A), E)) & r2_tarski(C, k9_aofa_000(A, k18_aofa_000(A), E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t91_aofa_000, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_unialg_1(C) &  (v3_unialg_1(C) &  (v4_unialg_1(C) &  (v3_freealg(C) &  (v3_aofa_000(C) &  (v4_aofa_000(C) &  (v5_aofa_000(C) &  (v6_aofa_000(C) &  (v12_aofa_000(C) & l1_unialg_1(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, k18_aofa_000(C)), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, k18_aofa_000(C)), A)))) )  =>  (! [E] :  (m1_subset_1(E, A) =>  (? [F] :  (m1_aofa_000(F, C, A, B) &  (k2_partfun1(k2_zfmisc_1(A, u1_struct_0(C)), A, F, k2_zfmisc_1(A, k18_aofa_000(C)))=D &  (! [G] :  (m1_subset_1(G, A) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(C)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(C)) =>  ( ~ (r4_aofa_000(C, k13_aofa_000(C, I, H), A, k2_binop_1(A, u1_struct_0(C), A, F, G, H), B, F))  => k2_binop_1(A, u1_struct_0(C), A, F, G, k16_aofa_000(C, H, I))=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t92_aofa_000, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_unialg_1(C) &  (v3_unialg_1(C) &  (v4_unialg_1(C) &  (v3_freealg(C) &  (v3_aofa_000(C) &  (v4_aofa_000(C) &  (v5_aofa_000(C) &  (v6_aofa_000(C) &  (v12_aofa_000(C) & l1_unialg_1(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, k18_aofa_000(C)), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, k18_aofa_000(C)), A)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k9_funct_2(A, A), k9_funct_2(A, A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, A), k9_funct_2(A, A))))) )  =>  ~ ( ( (! [F] :  (m2_funct_2(F, A, A, k9_funct_2(A, A)) => r2_funct_2(A, A, k4_aofa_000(A, A, A, F, k10_funct_5(k9_funct_2(A, A), A, A, k9_funct_2(A, A), E, F)), k10_funct_5(k9_funct_2(A, A), A, A, k9_funct_2(A, A), E, F))) )  &  (! [F] :  (m1_aofa_000(F, C, A, B) =>  ~ ( (k2_partfun1(k2_zfmisc_1(A, u1_struct_0(C)), A, F, k2_zfmisc_1(A, k18_aofa_000(C)))=D &  (! [G] :  (m1_subset_1(G, u1_struct_0(C)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(C)) =>  (! [I] :  (m1_subset_1(I, A) =>  ( ~ (r4_aofa_000(C, k13_aofa_000(C, H, G), A, k2_binop_1(A, u1_struct_0(C), A, F, I, G), B, F))  => k2_binop_1(A, u1_struct_0(C), A, F, I, k16_aofa_000(C, G, H))=k3_funct_2(A, A, k10_funct_5(k9_funct_2(A, A), A, A, k9_funct_2(A, A), E, k10_funct_5(u1_struct_0(C), A, A, k9_funct_2(A, A), k12_funct_5(A, u1_struct_0(C), A, F), k13_aofa_000(C, H, G))), k2_binop_1(A, u1_struct_0(C), A, F, I, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t93_aofa_000, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_unialg_1(C) &  (v3_unialg_1(C) &  (v4_unialg_1(C) &  (v3_freealg(C) &  (v3_aofa_000(C) &  (v4_aofa_000(C) &  (v5_aofa_000(C) &  (v6_aofa_000(C) &  (v12_aofa_000(C) & l1_unialg_1(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_aofa_000(D, C, A, B) =>  (! [E] :  (m1_aofa_000(E, C, A, B) =>  ( (r2_relset_1(k2_zfmisc_1(A, u1_struct_0(C)), A, k2_partfun1(k2_zfmisc_1(A, u1_struct_0(C)), A, D, k2_zfmisc_1(A, k18_aofa_000(C))), k2_partfun1(k2_zfmisc_1(A, u1_struct_0(C)), A, E, k2_zfmisc_1(A, k18_aofa_000(C)))) &  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(C)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(C)) =>  ( ~ (r4_aofa_000(C, k13_aofa_000(C, H, G), A, k2_binop_1(A, u1_struct_0(C), A, D, F, G), B, D))  => k2_binop_1(A, u1_struct_0(C), A, D, F, k16_aofa_000(C, G, H))=k2_binop_1(A, u1_struct_0(C), A, E, F, k16_aofa_000(C, G, H))) ) ) ) ) ) ) )  => r8_binop_1(A, u1_struct_0(C), A, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d35_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (! [D] :  (m1_aofa_000(D, A, B, C) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A)))) =>  (E=k21_aofa_000(A, B, C, D) <=>  (r1_tarski(k2_zfmisc_1(B, k18_aofa_000(A)), E) &  (r1_tarski(k2_zfmisc_1(B, k1_tarski(k12_aofa_000(A))), E) &  ( (! [F] :  (m1_subset_1(F, B) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  ( ( (r2_hidden(k4_tarski(F, H), E) & r2_hidden(k4_tarski(k2_binop_1(B, u1_struct_0(A), B, D, F, H), I), E))  => r2_hidden(k4_tarski(F, k13_aofa_000(A, H, I)), E))  &  ( ( (r2_hidden(k4_tarski(F, G), E) &  (r2_hidden(k4_tarski(k2_binop_1(B, u1_struct_0(A), B, D, F, G), H), E) & r2_tarski(k2_binop_1(B, u1_struct_0(A), B, D, F, G), C)) )  => r2_hidden(k4_tarski(F, k14_aofa_000(A, G, H, I)), E))  &  ( ( (r2_hidden(k4_tarski(F, G), E) & r2_hidden(k4_tarski(k2_binop_1(B, u1_struct_0(A), B, D, F, G), I), E))  =>  (r2_hidden(k2_binop_1(B, u1_struct_0(A), B, D, F, G), C) | r2_hidden(k4_tarski(F, k14_aofa_000(A, G, H, I)), E)) )  &  (r2_hidden(k4_tarski(F, G), E) =>  ( (! [J] :  ( ( ~ (v1_xboole_0(J))  & m2_finseq_1(J, B))  =>  ~ ( (k1_funct_1(J, 1)=k2_binop_1(B, u1_struct_0(A), B, D, F, G) &  ( ~ (r2_hidden(k1_funct_1(J, k3_finseq_1(J)), C))  &  (! [K] :  (v7_ordinal1(K) =>  (r1_xxreal_0(1, K) =>  (r1_xxreal_0(k3_finseq_1(J), K) |  (r2_tarski(k1_funct_1(J, K), C) &  (r2_hidden(k4_tarski(k1_funct_1(J, K), k13_aofa_000(A, H, G)), E) & k1_funct_1(J, k1_nat_1(K, 1))=k1_binop_1(D, k1_funct_1(J, K), k13_aofa_000(A, H, G))) ) ) ) ) ) ) ) ) ) )  | r2_hidden(k4_tarski(F, k16_aofa_000(A, G, H)), E)) ) ) ) ) ) ) ) ) ) ) ) )  &  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A)))) =>  ( (r1_tarski(k2_zfmisc_1(B, k18_aofa_000(A)), F) &  (r1_tarski(k2_zfmisc_1(B, k1_tarski(k12_aofa_000(A))), F) &  (! [G] :  (m1_subset_1(G, B) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  ( ( (r2_hidden(k4_tarski(G, I), F) & r2_hidden(k4_tarski(k2_binop_1(B, u1_struct_0(A), B, D, G, I), J), F))  => r2_hidden(k4_tarski(G, k13_aofa_000(A, I, J)), F))  &  ( ( (r2_hidden(k4_tarski(G, H), F) &  (r2_hidden(k4_tarski(k2_binop_1(B, u1_struct_0(A), B, D, G, H), I), F) & r2_tarski(k2_binop_1(B, u1_struct_0(A), B, D, G, H), C)) )  => r2_hidden(k4_tarski(G, k14_aofa_000(A, H, I, J)), F))  &  ( ( (r2_hidden(k4_tarski(G, H), F) & r2_hidden(k4_tarski(k2_binop_1(B, u1_struct_0(A), B, D, G, H), J), F))  =>  (r2_hidden(k2_binop_1(B, u1_struct_0(A), B, D, G, H), C) | r2_hidden(k4_tarski(G, k14_aofa_000(A, H, I, J)), F)) )  &  (r2_hidden(k4_tarski(G, H), F) =>  ( (! [K] :  ( ( ~ (v1_xboole_0(K))  & m2_finseq_1(K, B))  =>  ~ ( (k1_funct_1(K, 1)=k2_binop_1(B, u1_struct_0(A), B, D, G, H) &  ( ~ (r2_hidden(k1_funct_1(K, k3_finseq_1(K)), C))  &  (! [L] :  (v7_ordinal1(L) =>  (r1_xxreal_0(1, L) =>  (r1_xxreal_0(k3_finseq_1(K), L) |  (r2_tarski(k1_funct_1(K, L), C) &  (r2_hidden(k4_tarski(k1_funct_1(K, L), k13_aofa_000(A, I, H)), F) & k1_funct_1(K, k1_nat_1(L, 1))=k1_binop_1(D, k1_funct_1(K, L), k13_aofa_000(A, I, H))) ) ) ) ) ) ) ) ) ) )  | r2_hidden(k4_tarski(G, k16_aofa_000(A, H, I)), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) )  => r1_relset_1(B, u1_struct_0(A), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d36_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v15_aofa_000(B, A) <=>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, C) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(C)) =>  (! [F] :  (m1_aofa_000(F, A, C, E) => r2_hidden(k4_tarski(D, B), k21_aofa_000(A, C, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d37_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_aofa_000(E, A, B, C) =>  (r5_aofa_000(A, B, C, D, E) <=>  (! [F] :  (m1_subset_1(F, B) => r2_hidden(k4_tarski(F, D), k21_aofa_000(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d38_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_aofa_000(E, A, B, C) =>  (! [F] :  (r6_aofa_000(A, B, C, D, E, F) <=>  (! [G] :  (m1_subset_1(G, B) =>  (r2_tarski(G, F) => r2_hidden(k4_tarski(G, D), k21_aofa_000(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d39_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_aofa_000(E, A, B, C) =>  (! [F] :  (r7_aofa_000(A, B, C, D, E, F) <=>  (! [G] :  (m1_subset_1(G, B) =>  (r2_tarski(G, F) => r2_tarski(k2_binop_1(B, u1_struct_0(A), B, E, G, D), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t94_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(C)) =>  (! [E] :  (m1_subset_1(E, C) =>  (! [F] :  (m1_aofa_000(F, A, C, D) =>  (r2_tarski(B, k18_aofa_000(A)) => r2_hidden(k4_tarski(E, B), k21_aofa_000(A, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t95_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (r2_tarski(B, k18_aofa_000(A)) => v15_aofa_000(B, A)) ) ) ) ) ).
fof(t96_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  (m1_aofa_000(E, A, B, C) => r2_hidden(k4_tarski(D, k12_aofa_000(A)), k21_aofa_000(A, B, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t97_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(D)) =>  (! [F] :  (m1_subset_1(F, D) =>  (! [G] :  (m1_aofa_000(G, A, D, E) =>  ( (v3_freealg(A) & r2_hidden(k4_tarski(F, k13_aofa_000(A, B, C)), k21_aofa_000(A, D, E, G)))  =>  (r2_hidden(k4_tarski(F, B), k21_aofa_000(A, D, E, G)) & r2_hidden(k4_tarski(k2_binop_1(D, u1_struct_0(A), D, G, F, B), C), k21_aofa_000(A, D, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t98_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(E)) =>  (! [G] :  (m1_subset_1(G, E) =>  (! [H] :  (m1_aofa_000(H, A, E, F) =>  ( (v3_freealg(A) & r2_hidden(k4_tarski(G, k14_aofa_000(A, B, C, D)), k21_aofa_000(A, E, F, H)))  =>  (r2_hidden(k4_tarski(G, B), k21_aofa_000(A, E, F, H)) &  ( (r2_tarski(k2_binop_1(E, u1_struct_0(A), E, H, G, B), F) => r2_hidden(k4_tarski(k2_binop_1(E, u1_struct_0(A), E, H, G, B), C), k21_aofa_000(A, E, F, H)))  &  ( ~ (r2_hidden(k2_binop_1(E, u1_struct_0(A), E, H, G, B), F))  => r2_hidden(k4_tarski(k2_binop_1(E, u1_struct_0(A), E, H, G, B), D), k21_aofa_000(A, E, F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t99_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(D)) =>  (! [F] :  (m1_subset_1(F, D) =>  (! [G] :  (m1_aofa_000(G, A, D, E) =>  ( (v3_freealg(A) & r2_hidden(k4_tarski(F, k16_aofa_000(A, B, C)), k21_aofa_000(A, D, E, G)))  =>  (r2_hidden(k4_tarski(F, B), k21_aofa_000(A, D, E, G)) &  (? [H] :  ( ( ~ (v1_xboole_0(H))  & m2_finseq_1(H, D))  &  (k1_funct_1(H, 1)=k2_binop_1(D, u1_struct_0(A), D, G, F, B) &  ( ~ (r2_hidden(k1_funct_1(H, k3_finseq_1(H)), E))  &  (! [I] :  (v7_ordinal1(I) =>  (r1_xxreal_0(1, I) =>  (r1_xxreal_0(k3_finseq_1(H), I) |  (r2_tarski(k1_funct_1(H, I), E) &  (r2_hidden(k4_tarski(k1_funct_1(H, I), k13_aofa_000(A, C, B)), k21_aofa_000(A, D, E, G)) & k1_funct_1(H, k1_nat_1(I, 1))=k1_binop_1(G, k1_funct_1(H, I), k13_aofa_000(A, C, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t100_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(D)) =>  (! [F] :  (m1_subset_1(F, D) =>  (! [G] :  (m1_aofa_000(G, A, D, E) =>  ( (v3_freealg(A) &  (r2_hidden(k4_tarski(F, k16_aofa_000(A, B, C)), k21_aofa_000(A, D, E, G)) & r2_tarski(k2_binop_1(D, u1_struct_0(A), D, G, F, B), E)) )  => r2_hidden(k4_tarski(k2_binop_1(D, u1_struct_0(A), D, G, F, B), C), k21_aofa_000(A, D, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t101_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  (m1_aofa_000(E, A, B, C) =>  (! [F] :  ( (v15_aofa_000(F, A) & m1_subset_1(F, u1_struct_0(A)))  =>  (! [G] :  ( (v15_aofa_000(G, A) & m1_subset_1(G, u1_struct_0(A)))  =>  (r4_aofa_000(A, k13_aofa_000(A, G, F), B, k2_binop_1(B, u1_struct_0(A), B, E, D, F), C, E) => r2_hidden(k4_tarski(D, k16_aofa_000(A, F, G)), k21_aofa_000(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t102_aofa_000, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_unialg_1(C) &  (v3_unialg_1(C) &  (v4_unialg_1(C) &  (v3_freealg(C) &  (v3_aofa_000(C) &  (v4_aofa_000(C) &  (v5_aofa_000(C) &  (v6_aofa_000(C) &  (v12_aofa_000(C) & l1_unialg_1(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_aofa_000(D, C, A, B) =>  (! [E] :  (m1_aofa_000(E, C, A, B) =>  (r2_relset_1(k2_zfmisc_1(A, u1_struct_0(C)), A, k2_partfun1(k2_zfmisc_1(A, u1_struct_0(C)), A, D, k2_zfmisc_1(A, k18_aofa_000(C))), k2_partfun1(k2_zfmisc_1(A, u1_struct_0(C)), A, E, k2_zfmisc_1(A, k18_aofa_000(C)))) => r2_relset_1(A, u1_struct_0(C), k21_aofa_000(C, A, B, D), k21_aofa_000(C, A, B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t103_aofa_000, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_unialg_1(C) &  (v3_unialg_1(C) &  (v4_unialg_1(C) &  (v3_freealg(C) &  (v3_aofa_000(C) &  (v4_aofa_000(C) &  (v5_aofa_000(C) &  (v6_aofa_000(C) &  (v12_aofa_000(C) & l1_unialg_1(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_aofa_000(D, C, A, B) =>  (! [E] :  (m1_aofa_000(E, C, A, B) =>  (r2_relset_1(k2_zfmisc_1(A, u1_struct_0(C)), A, k2_partfun1(k2_zfmisc_1(A, u1_struct_0(C)), A, D, k2_zfmisc_1(A, k18_aofa_000(C))), k2_partfun1(k2_zfmisc_1(A, u1_struct_0(C)), A, E, k2_zfmisc_1(A, k18_aofa_000(C)))) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(C)) =>  (r2_hidden(k4_tarski(F, G), k21_aofa_000(C, A, B, D)) => k2_binop_1(A, u1_struct_0(C), A, D, F, G)=k2_binop_1(A, u1_struct_0(C), A, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t104_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (! [D] :  (m1_aofa_000(D, A, B, C) =>  (! [E] :  ( (v15_aofa_000(E, A) & m1_subset_1(E, u1_struct_0(A)))  => r5_aofa_000(A, B, C, E, D)) ) ) ) ) ) ) ) ) ) ).
fof(t105_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (! [D] :  (m1_aofa_000(D, A, B, C) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r5_aofa_000(A, B, C, E, D) <=> r6_aofa_000(A, B, C, E, D, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t106_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (! [D] :  (m1_aofa_000(D, A, B, C) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r5_aofa_000(A, B, C, E, D) =>  (! [F] : r6_aofa_000(A, B, C, E, D, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t107_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (! [D] :  (m1_aofa_000(D, A, B, C) =>  (! [E] :  ( (v15_aofa_000(E, A) & m1_subset_1(E, u1_struct_0(A)))  =>  (! [F] : r6_aofa_000(A, B, C, E, D, F)) ) ) ) ) ) ) ) ) ) ) ).
fof(t108_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (! [D] :  (m1_aofa_000(D, A, B, C) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => r7_aofa_000(A, B, C, E, D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t109_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (! [D] :  (m1_aofa_000(D, A, B, C) =>  (! [E] :  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r7_aofa_000(A, B, C, F, D, E) & r7_aofa_000(A, B, C, G, D, E))  => r7_aofa_000(A, B, C, k13_aofa_000(A, F, G), D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t110_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (! [D] :  (m1_aofa_000(D, A, B, C) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r5_aofa_000(A, B, C, E, D) & r5_aofa_000(A, B, C, F, D))  => r5_aofa_000(A, B, C, k13_aofa_000(A, E, F), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t111_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (! [D] :  (m1_aofa_000(D, A, B, C) =>  (! [E] :  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r6_aofa_000(A, B, C, F, D, E) &  (r6_aofa_000(A, B, C, G, D, E) & r7_aofa_000(A, B, C, F, D, E)) )  => r6_aofa_000(A, B, C, k13_aofa_000(A, F, G), D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t112_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (! [D] :  (m1_aofa_000(D, A, B, C) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r5_aofa_000(A, B, C, E, D) &  (r5_aofa_000(A, B, C, F, D) & r5_aofa_000(A, B, C, G, D)) )  => r5_aofa_000(A, B, C, k14_aofa_000(A, E, F, G), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t113_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (! [D] :  (m1_aofa_000(D, A, B, C) =>  (! [E] :  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ( (r6_aofa_000(A, B, C, F, D, E) &  (r6_aofa_000(A, B, C, G, D, E) &  (r6_aofa_000(A, B, C, H, D, E) & r7_aofa_000(A, B, C, F, D, E)) ) )  => r6_aofa_000(A, B, C, k14_aofa_000(A, F, G, H), D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t114_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  (m1_aofa_000(E, A, B, C) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r5_aofa_000(A, B, C, F, E) &  (r5_aofa_000(A, B, C, G, E) & r4_aofa_000(A, k13_aofa_000(A, G, F), B, k2_binop_1(B, u1_struct_0(A), B, E, D, F), C, E)) )  => r2_hidden(k4_tarski(D, k16_aofa_000(A, F, G)), k21_aofa_000(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t115_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  (m1_aofa_000(E, A, B, C) =>  (! [F] :  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ( (r6_aofa_000(A, B, C, G, E, F) &  (r6_aofa_000(A, B, C, H, E, F) &  (r7_aofa_000(A, B, C, G, E, F) &  (r7_aofa_000(A, B, C, H, E, F) &  (r4_aofa_000(A, k13_aofa_000(A, H, G), B, k2_binop_1(B, u1_struct_0(A), B, E, D, G), C, E) & r2_tarski(D, F)) ) ) ) )  => r2_hidden(k4_tarski(D, k16_aofa_000(A, G, H)), k21_aofa_000(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t116_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  (m1_aofa_000(E, A, B, C) =>  (! [F] :  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ( (r5_aofa_000(A, B, C, G, E) &  (r6_aofa_000(A, B, C, H, E, F) &  (r7_aofa_000(A, B, C, G, E, F) &  ( (! [I] :  (m1_subset_1(I, B) =>  ( (r2_tarski(I, F) & r2_tarski(k2_binop_1(B, u1_struct_0(A), B, E, k2_binop_1(B, u1_struct_0(A), B, E, I, H), G), C))  => r2_tarski(k2_binop_1(B, u1_struct_0(A), B, E, I, H), F)) ) )  &  (r4_aofa_000(A, k13_aofa_000(A, H, G), B, k2_binop_1(B, u1_struct_0(A), B, E, D, G), C, E) & r2_tarski(D, F)) ) ) ) )  => r2_hidden(k4_tarski(D, k16_aofa_000(A, G, H)), k21_aofa_000(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t117_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (! [D] :  (m1_aofa_000(D, A, B, C) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r5_aofa_000(A, B, C, E, D) &  (r5_aofa_000(A, B, C, F, D) &  (! [G] :  (m1_subset_1(G, B) => r4_aofa_000(A, k13_aofa_000(A, F, E), B, G, C, D)) ) ) )  => r5_aofa_000(A, B, C, k16_aofa_000(A, E, F), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t118_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (! [D] :  (m1_aofa_000(D, A, B, C) =>  (! [E] :  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r5_aofa_000(A, B, C, F, D) &  (r6_aofa_000(A, B, C, G, D, E) &  (r7_aofa_000(A, B, C, F, D, E) &  ( (! [H] :  (m1_subset_1(H, B) =>  ( (r2_tarski(H, E) & r2_tarski(k2_binop_1(B, u1_struct_0(A), B, D, k2_binop_1(B, u1_struct_0(A), B, D, H, G), F), C))  => r2_tarski(k2_binop_1(B, u1_struct_0(A), B, D, H, G), E)) ) )  &  (! [H] :  (m1_subset_1(H, B) =>  (r2_tarski(k2_binop_1(B, u1_struct_0(A), B, D, H, F), E) => r4_aofa_000(A, k13_aofa_000(A, G, F), B, k2_binop_1(B, u1_struct_0(A), B, D, H, F), C, D)) ) ) ) ) ) )  => r6_aofa_000(A, B, C, k16_aofa_000(A, F, G), D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_aofa_000, axiom,  ( (v1_finset_1(f2_s1_aofa_000) &  ( (! [A] :  (m1_subset_1(A, f1_s1_aofa_000) =>  ~ ( (r2_tarski(A, f2_s1_aofa_000) &  (! [B] :  (v7_ordinal1(B) =>  ~ (p1_s1_aofa_000(A, B)) ) ) ) ) ) )  &  (! [A] :  (m1_subset_1(A, f1_s1_aofa_000) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (p1_s1_aofa_000(A, B) & r1_xxreal_0(B, C))  => p1_s1_aofa_000(A, C)) ) ) ) ) ) ) ) )  =>  (? [A] :  (v7_ordinal1(A) &  (! [B] :  (m1_subset_1(B, f1_s1_aofa_000) =>  (r2_tarski(B, f2_s1_aofa_000) => p1_s1_aofa_000(B, A)) ) ) ) ) ) ).
fof(s2_aofa_000, axiom,  ( ( (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s2_aofa_000)) =>  (r2_tarski(A, k18_aofa_000(f1_s2_aofa_000)) => p1_s2_aofa_000(A)) ) )  &  (p1_s2_aofa_000(k12_aofa_000(f1_s2_aofa_000)) &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s2_aofa_000)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(f1_s2_aofa_000)) =>  ( (p1_s2_aofa_000(A) & p1_s2_aofa_000(B))  => p1_s2_aofa_000(k13_aofa_000(f1_s2_aofa_000, A, B))) ) ) ) )  &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s2_aofa_000)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(f1_s2_aofa_000)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(f1_s2_aofa_000)) =>  ( (p1_s2_aofa_000(A) &  (p1_s2_aofa_000(B) & p1_s2_aofa_000(C)) )  => p1_s2_aofa_000(k14_aofa_000(f1_s2_aofa_000, A, B, C))) ) ) ) ) ) )  &  (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s2_aofa_000)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(f1_s2_aofa_000)) =>  ( (p1_s2_aofa_000(A) & p1_s2_aofa_000(B))  => p1_s2_aofa_000(k16_aofa_000(f1_s2_aofa_000, A, B))) ) ) ) ) ) ) ) )  => p1_s2_aofa_000(f2_s2_aofa_000)) ).
fof(s3_aofa_000, axiom,  ( ( (r2_tarski(f4_s3_aofa_000, f5_s3_aofa_000) <=> p1_s3_aofa_000(f4_s3_aofa_000))  &  (! [A] :  (m1_subset_1(A, f3_s3_aofa_000) =>  (p1_s3_aofa_000(A) =>  ( (p1_s3_aofa_000(k2_binop_1(f3_s3_aofa_000, u1_struct_0(f1_s3_aofa_000), f3_s3_aofa_000, f6_s3_aofa_000, A, f2_s3_aofa_000)) => r2_tarski(k2_binop_1(f3_s3_aofa_000, u1_struct_0(f1_s3_aofa_000), f3_s3_aofa_000, f6_s3_aofa_000, A, f2_s3_aofa_000), f5_s3_aofa_000))  &  ( (r2_tarski(k2_binop_1(f3_s3_aofa_000, u1_struct_0(f1_s3_aofa_000), f3_s3_aofa_000, f6_s3_aofa_000, A, f2_s3_aofa_000), f5_s3_aofa_000) => p1_s3_aofa_000(k2_binop_1(f3_s3_aofa_000, u1_struct_0(f1_s3_aofa_000), f3_s3_aofa_000, f6_s3_aofa_000, A, f2_s3_aofa_000)))  &  ~ (r1_xxreal_0(f7_s3_aofa_000(A), f7_s3_aofa_000(k2_binop_1(f3_s3_aofa_000, u1_struct_0(f1_s3_aofa_000), f3_s3_aofa_000, f6_s3_aofa_000, A, f2_s3_aofa_000)))) ) ) ) ) ) )  => r4_aofa_000(f1_s3_aofa_000, f2_s3_aofa_000, f3_s3_aofa_000, f4_s3_aofa_000, f5_s3_aofa_000, f6_s3_aofa_000)) ).
fof(s4_aofa_000, axiom,  ( (p1_s4_aofa_000(f4_s4_aofa_000) &  ( (r2_tarski(f4_s4_aofa_000, f5_s4_aofa_000) <=> p2_s4_aofa_000(f4_s4_aofa_000))  &  (! [A] :  (m1_subset_1(A, f3_s4_aofa_000) =>  ( (p1_s4_aofa_000(A) &  (r2_tarski(A, f5_s4_aofa_000) & p2_s4_aofa_000(A)) )  =>  (p1_s4_aofa_000(k2_binop_1(f3_s4_aofa_000, u1_struct_0(f1_s4_aofa_000), f3_s4_aofa_000, f6_s4_aofa_000, A, f2_s4_aofa_000)) &  ( (p2_s4_aofa_000(k2_binop_1(f3_s4_aofa_000, u1_struct_0(f1_s4_aofa_000), f3_s4_aofa_000, f6_s4_aofa_000, A, f2_s4_aofa_000)) => r2_tarski(k2_binop_1(f3_s4_aofa_000, u1_struct_0(f1_s4_aofa_000), f3_s4_aofa_000, f6_s4_aofa_000, A, f2_s4_aofa_000), f5_s4_aofa_000))  &  ( (r2_tarski(k2_binop_1(f3_s4_aofa_000, u1_struct_0(f1_s4_aofa_000), f3_s4_aofa_000, f6_s4_aofa_000, A, f2_s4_aofa_000), f5_s4_aofa_000) => p2_s4_aofa_000(k2_binop_1(f3_s4_aofa_000, u1_struct_0(f1_s4_aofa_000), f3_s4_aofa_000, f6_s4_aofa_000, A, f2_s4_aofa_000)))  &  ~ (r1_xxreal_0(f7_s4_aofa_000(A), f7_s4_aofa_000(k2_binop_1(f3_s4_aofa_000, u1_struct_0(f1_s4_aofa_000), f3_s4_aofa_000, f6_s4_aofa_000, A, f2_s4_aofa_000)))) ) ) ) ) ) ) ) )  => r4_aofa_000(f1_s4_aofa_000, f2_s4_aofa_000, f3_s4_aofa_000, f4_s4_aofa_000, f5_s4_aofa_000, f6_s4_aofa_000)) ).
fof(s5_aofa_000, axiom,  ( (p1_s5_aofa_000(f5_s5_aofa_000) &  (r4_aofa_000(f1_s5_aofa_000, k13_aofa_000(f1_s5_aofa_000, f3_s5_aofa_000, f2_s5_aofa_000), f4_s5_aofa_000, k2_binop_1(f4_s5_aofa_000, u1_struct_0(f1_s5_aofa_000), f4_s5_aofa_000, f7_s5_aofa_000, f5_s5_aofa_000, f2_s5_aofa_000), f6_s5_aofa_000, f7_s5_aofa_000) &  ( (! [A] :  (m1_subset_1(A, f4_s5_aofa_000) =>  ( (p1_s5_aofa_000(A) &  (r2_tarski(A, f6_s5_aofa_000) & p2_s5_aofa_000(A)) )  => p1_s5_aofa_000(k2_binop_1(f4_s5_aofa_000, u1_struct_0(f1_s5_aofa_000), f4_s5_aofa_000, f7_s5_aofa_000, A, f3_s5_aofa_000))) ) )  &  (! [A] :  (m1_subset_1(A, f4_s5_aofa_000) =>  (p1_s5_aofa_000(A) =>  (p1_s5_aofa_000(k2_binop_1(f4_s5_aofa_000, u1_struct_0(f1_s5_aofa_000), f4_s5_aofa_000, f7_s5_aofa_000, A, f2_s5_aofa_000)) &  ( (r2_tarski(k2_binop_1(f4_s5_aofa_000, u1_struct_0(f1_s5_aofa_000), f4_s5_aofa_000, f7_s5_aofa_000, A, f2_s5_aofa_000), f6_s5_aofa_000) => p2_s5_aofa_000(k2_binop_1(f4_s5_aofa_000, u1_struct_0(f1_s5_aofa_000), f4_s5_aofa_000, f7_s5_aofa_000, A, f2_s5_aofa_000)))  &  (p2_s5_aofa_000(k2_binop_1(f4_s5_aofa_000, u1_struct_0(f1_s5_aofa_000), f4_s5_aofa_000, f7_s5_aofa_000, A, f2_s5_aofa_000)) => r2_tarski(k2_binop_1(f4_s5_aofa_000, u1_struct_0(f1_s5_aofa_000), f4_s5_aofa_000, f7_s5_aofa_000, A, f2_s5_aofa_000), f6_s5_aofa_000)) ) ) ) ) ) ) ) )  =>  (p1_s5_aofa_000(k2_binop_1(f4_s5_aofa_000, u1_struct_0(f1_s5_aofa_000), f4_s5_aofa_000, f7_s5_aofa_000, f5_s5_aofa_000, k16_aofa_000(f1_s5_aofa_000, f2_s5_aofa_000, f3_s5_aofa_000))) &  ~ (p2_s5_aofa_000(k2_binop_1(f4_s5_aofa_000, u1_struct_0(f1_s5_aofa_000), f4_s5_aofa_000, f7_s5_aofa_000, f5_s5_aofa_000, k16_aofa_000(f1_s5_aofa_000, f2_s5_aofa_000, f3_s5_aofa_000)))) ) ) ).
fof(s6_aofa_000, axiom,  ( (p1_s6_aofa_000(k2_binop_1(f4_s6_aofa_000, u1_struct_0(f1_s6_aofa_000), f4_s6_aofa_000, f7_s6_aofa_000, f5_s6_aofa_000, k16_aofa_000(f1_s6_aofa_000, f2_s6_aofa_000, f3_s6_aofa_000))) &  (r4_aofa_000(f1_s6_aofa_000, k13_aofa_000(f1_s6_aofa_000, f3_s6_aofa_000, f2_s6_aofa_000), f4_s6_aofa_000, k2_binop_1(f4_s6_aofa_000, u1_struct_0(f1_s6_aofa_000), f4_s6_aofa_000, f7_s6_aofa_000, f5_s6_aofa_000, f2_s6_aofa_000), f6_s6_aofa_000, f7_s6_aofa_000) &  ( (! [A] :  (m1_subset_1(A, f4_s6_aofa_000) =>  ( (p1_s6_aofa_000(k2_binop_1(f4_s6_aofa_000, u1_struct_0(f1_s6_aofa_000), f4_s6_aofa_000, f7_s6_aofa_000, k2_binop_1(f4_s6_aofa_000, u1_struct_0(f1_s6_aofa_000), f4_s6_aofa_000, f7_s6_aofa_000, A, f2_s6_aofa_000), f3_s6_aofa_000)) & r2_tarski(k2_binop_1(f4_s6_aofa_000, u1_struct_0(f1_s6_aofa_000), f4_s6_aofa_000, f7_s6_aofa_000, A, f2_s6_aofa_000), f6_s6_aofa_000))  => p1_s6_aofa_000(k2_binop_1(f4_s6_aofa_000, u1_struct_0(f1_s6_aofa_000), f4_s6_aofa_000, f7_s6_aofa_000, A, f2_s6_aofa_000))) ) )  &  (! [A] :  (m1_subset_1(A, f4_s6_aofa_000) =>  (p1_s6_aofa_000(k2_binop_1(f4_s6_aofa_000, u1_struct_0(f1_s6_aofa_000), f4_s6_aofa_000, f7_s6_aofa_000, A, f2_s6_aofa_000)) => p1_s6_aofa_000(A)) ) ) ) ) )  => p1_s6_aofa_000(f5_s6_aofa_000)) ).
fof(s7_aofa_000, axiom,  ( (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s7_aofa_000)) =>  (r2_tarski(A, k18_aofa_000(f1_s7_aofa_000)) => r2_tarski(f4_s7_aofa_000(A), f2_s7_aofa_000)) ) )  =>  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(f1_s7_aofa_000), f2_s7_aofa_000) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(f1_s7_aofa_000), f2_s7_aofa_000)))) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(f1_s7_aofa_000)) =>  (r2_tarski(B, k18_aofa_000(f1_s7_aofa_000)) => k3_funct_2(u1_struct_0(f1_s7_aofa_000), f2_s7_aofa_000, A, B)=f4_s7_aofa_000(B)) ) )  &  (k3_funct_2(u1_struct_0(f1_s7_aofa_000), f2_s7_aofa_000, A, k12_aofa_000(f1_s7_aofa_000))=f3_s7_aofa_000 &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(f1_s7_aofa_000)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(f1_s7_aofa_000)) => k3_funct_2(u1_struct_0(f1_s7_aofa_000), f2_s7_aofa_000, A, k13_aofa_000(f1_s7_aofa_000, B, C))=f5_s7_aofa_000(k3_funct_2(u1_struct_0(f1_s7_aofa_000), f2_s7_aofa_000, A, B), k3_funct_2(u1_struct_0(f1_s7_aofa_000), f2_s7_aofa_000, A, C))) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(f1_s7_aofa_000)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(f1_s7_aofa_000)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(f1_s7_aofa_000)) => k3_funct_2(u1_struct_0(f1_s7_aofa_000), f2_s7_aofa_000, A, k14_aofa_000(f1_s7_aofa_000, B, C, D))=f7_s7_aofa_000(k3_funct_2(u1_struct_0(f1_s7_aofa_000), f2_s7_aofa_000, A, B), k3_funct_2(u1_struct_0(f1_s7_aofa_000), f2_s7_aofa_000, A, C), k3_funct_2(u1_struct_0(f1_s7_aofa_000), f2_s7_aofa_000, A, D))) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(f1_s7_aofa_000)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(f1_s7_aofa_000)) => k3_funct_2(u1_struct_0(f1_s7_aofa_000), f2_s7_aofa_000, A, k16_aofa_000(f1_s7_aofa_000, B, C))=f6_s7_aofa_000(k3_funct_2(u1_struct_0(f1_s7_aofa_000), f2_s7_aofa_000, A, B), k3_funct_2(u1_struct_0(f1_s7_aofa_000), f2_s7_aofa_000, A, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_aofa_000, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  (m1_finseq_2(C, A) & m1_subset_1(D, B)) )  =>  (v1_funct_1(k1_aofa_000(A, B, C, D)) & m1_subset_1(k1_aofa_000(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), B)))) ) ) ).
fof(redefinition_k1_aofa_000, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  (m1_finseq_2(C, A) & m1_subset_1(D, B)) )  => k1_aofa_000(A, B, C, D)=k2_funcop_1(C, D)) ) ).
fof(dt_k2_aofa_000, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k2_aofa_000(A, B, C)) & v1_funct_1(k2_aofa_000(A, B, C))) ) ) ).
fof(dt_k3_aofa_000, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k9_funct_2(A, B)) & m1_subset_1(D, k9_funct_2(A, B))) ) )  => m2_funct_2(k3_aofa_000(A, B, C, D, E), A, B, k9_funct_2(A, B))) ) ).
fof(redefinition_k3_aofa_000, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k9_funct_2(A, B)) & m1_subset_1(D, k9_funct_2(A, B))) ) )  => k3_aofa_000(A, B, C, D, E)=k2_aofa_000(C, D, E)) ) ).
fof(dt_k4_aofa_000, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (m1_subset_1(D, k9_funct_2(A, B)) & m1_subset_1(E, k9_funct_2(B, C))) ) ) )  => m2_funct_2(k4_aofa_000(A, B, C, D, E), A, C, k9_funct_2(A, C))) ) ).
fof(redefinition_k4_aofa_000, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (m1_subset_1(D, k9_funct_2(A, B)) & m1_subset_1(E, k9_funct_2(B, C))) ) ) )  => k4_aofa_000(A, B, C, D, E)=k3_relat_1(D, E)) ) ).
fof(dt_k6_aofa_000, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k6_aofa_000(A, B, C)) & v1_funct_1(k6_aofa_000(A, B, C))) ) ) ).
fof(dt_k7_aofa_000, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(C) & v1_funct_1(C)) )  =>  (v1_relat_1(k7_aofa_000(A, B, C)) & v1_funct_1(k7_aofa_000(A, B, C))) ) ) ).
fof(dt_k8_aofa_000, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k9_funct_2(A, A)) & m1_subset_1(D, k9_funct_2(A, A))) )  => m2_funct_2(k8_aofa_000(A, B, C, D), A, A, k9_funct_2(A, A))) ) ).
fof(redefinition_k8_aofa_000, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k9_funct_2(A, A)) & m1_subset_1(D, k9_funct_2(A, A))) )  => k8_aofa_000(A, B, C, D)=k7_aofa_000(B, C, D)) ) ).
fof(dt_k9_aofa_000, axiom,  (! [A, B, C] :  ( ( (v4_unialg_1(A) & l1_unialg_1(A))  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v7_ordinal1(C)) )  => m1_subset_1(k9_aofa_000(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_f1_s1_aofa_000, axiom,  ~ (v1_xboole_0(f1_s1_aofa_000)) ).
fof(dt_k10_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  => m1_subset_1(k10_aofa_000(A), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k11_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_freealg(A) & l1_unialg_1(A)) ) ) ) )  => m1_freealg(k11_aofa_000(A), A)) ) ).
fof(redefinition_k11_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_freealg(A) & l1_unialg_1(A)) ) ) ) )  => k11_aofa_000(A)=k10_aofa_000(A)) ) ).
fof(dt_k12_aofa_000, axiom,  (! [A] :  ( (v4_unialg_1(A) &  (v3_aofa_000(A) & l1_unialg_1(A)) )  => m1_subset_1(k12_aofa_000(A), u1_struct_0(A))) ) ).
fof(dt_k13_aofa_000, axiom,  (! [A, B, C] :  ( ( (v4_unialg_1(A) &  (v4_aofa_000(A) & l1_unialg_1(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k13_aofa_000(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k14_aofa_000, axiom,  (! [A, B, C, D] :  ( ( (v4_unialg_1(A) &  (v5_aofa_000(A) & l1_unialg_1(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, u1_struct_0(A))) ) )  => m1_subset_1(k14_aofa_000(A, B, C, D), u1_struct_0(A))) ) ).
fof(dt_k15_aofa_000, axiom,  (! [A, B, C] :  ( ( (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v5_aofa_000(A) & l1_unialg_1(A)) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k15_aofa_000(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k16_aofa_000, axiom,  (! [A, B, C] :  ( ( (v4_unialg_1(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k16_aofa_000(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k17_aofa_000, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) &  (m1_subset_1(D, u1_struct_0(A)) & m1_subset_1(E, u1_struct_0(A))) ) ) )  => m1_subset_1(k17_aofa_000(A, B, C, D, E), u1_struct_0(A))) ) ).
fof(dt_k18_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  => m1_subset_1(k18_aofa_000(A), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k19_aofa_000, axiom,  ( ~ (v1_xboole_0(k19_aofa_000))  & m2_finseq_1(k19_aofa_000, k4_ordinal1)) ).
fof(dt_f1_s2_aofa_000, axiom,  ( ~ (v2_struct_0(f1_s2_aofa_000))  &  (v2_unialg_1(f1_s2_aofa_000) &  (v3_unialg_1(f1_s2_aofa_000) &  (v4_unialg_1(f1_s2_aofa_000) &  (v3_aofa_000(f1_s2_aofa_000) &  (v4_aofa_000(f1_s2_aofa_000) &  (v5_aofa_000(f1_s2_aofa_000) &  (v6_aofa_000(f1_s2_aofa_000) &  (v11_aofa_000(f1_s2_aofa_000) &  (v12_aofa_000(f1_s2_aofa_000) & l1_unialg_1(f1_s2_aofa_000)) ) ) ) ) ) ) ) ) ) ).
fof(dt_f2_s2_aofa_000, axiom, m1_subset_1(f2_s2_aofa_000, u1_struct_0(f1_s2_aofa_000))).
fof(dt_m1_aofa_000, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(C, k1_zfmisc_1(B))) )  =>  (! [D] :  (m1_aofa_000(D, A, B, C) =>  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(B, u1_struct_0(A)), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A)), B)))) ) ) ) ) ) ).
fof(existence_m1_aofa_000, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(C, k1_zfmisc_1(B))) )  =>  (? [D] : m1_aofa_000(D, A, B, C)) ) ) ).
fof(dt_k20_aofa_000, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  ( ~ (v1_xboole_0(C))  &  (m1_subset_1(D, C) &  (m1_subset_1(E, k1_zfmisc_1(C)) & m1_aofa_000(F, A, C, E)) ) ) ) )  => m1_subset_1(k20_aofa_000(A, B, C, D, E, F), k6_numbers)) ) ).
fof(dt_f1_s3_aofa_000, axiom,  ( ~ (v2_struct_0(f1_s3_aofa_000))  &  (v2_unialg_1(f1_s3_aofa_000) &  (v3_unialg_1(f1_s3_aofa_000) &  (v4_unialg_1(f1_s3_aofa_000) &  (v3_aofa_000(f1_s3_aofa_000) &  (v4_aofa_000(f1_s3_aofa_000) &  (v5_aofa_000(f1_s3_aofa_000) &  (v6_aofa_000(f1_s3_aofa_000) & l1_unialg_1(f1_s3_aofa_000)) ) ) ) ) ) ) ) ).
fof(dt_f2_s3_aofa_000, axiom, m1_subset_1(f2_s3_aofa_000, u1_struct_0(f1_s3_aofa_000))).
fof(dt_f3_s3_aofa_000, axiom,  ~ (v1_xboole_0(f3_s3_aofa_000)) ).
fof(dt_f4_s3_aofa_000, axiom, m1_subset_1(f4_s3_aofa_000, f3_s3_aofa_000)).
fof(dt_f5_s3_aofa_000, axiom, m1_subset_1(f5_s3_aofa_000, k1_zfmisc_1(f3_s3_aofa_000))).
fof(dt_f6_s3_aofa_000, axiom, m1_aofa_000(f6_s3_aofa_000, f1_s3_aofa_000, f3_s3_aofa_000, f5_s3_aofa_000)).
fof(dt_f7_s3_aofa_000, axiom,  (! [A] : v7_ordinal1(f7_s3_aofa_000(A))) ).
fof(dt_f1_s4_aofa_000, axiom,  ( ~ (v2_struct_0(f1_s4_aofa_000))  &  (v2_unialg_1(f1_s4_aofa_000) &  (v3_unialg_1(f1_s4_aofa_000) &  (v4_unialg_1(f1_s4_aofa_000) &  (v3_aofa_000(f1_s4_aofa_000) &  (v4_aofa_000(f1_s4_aofa_000) &  (v5_aofa_000(f1_s4_aofa_000) &  (v6_aofa_000(f1_s4_aofa_000) & l1_unialg_1(f1_s4_aofa_000)) ) ) ) ) ) ) ) ).
fof(dt_f2_s4_aofa_000, axiom, m1_subset_1(f2_s4_aofa_000, u1_struct_0(f1_s4_aofa_000))).
fof(dt_f3_s4_aofa_000, axiom,  ~ (v1_xboole_0(f3_s4_aofa_000)) ).
fof(dt_f4_s4_aofa_000, axiom, m1_subset_1(f4_s4_aofa_000, f3_s4_aofa_000)).
fof(dt_f5_s4_aofa_000, axiom, m1_subset_1(f5_s4_aofa_000, k1_zfmisc_1(f3_s4_aofa_000))).
fof(dt_f6_s4_aofa_000, axiom, m1_aofa_000(f6_s4_aofa_000, f1_s4_aofa_000, f3_s4_aofa_000, f5_s4_aofa_000)).
fof(dt_f7_s4_aofa_000, axiom,  (! [A] : v7_ordinal1(f7_s4_aofa_000(A))) ).
fof(dt_f1_s5_aofa_000, axiom,  ( ~ (v2_struct_0(f1_s5_aofa_000))  &  (v2_unialg_1(f1_s5_aofa_000) &  (v3_unialg_1(f1_s5_aofa_000) &  (v4_unialg_1(f1_s5_aofa_000) &  (v3_aofa_000(f1_s5_aofa_000) &  (v4_aofa_000(f1_s5_aofa_000) &  (v5_aofa_000(f1_s5_aofa_000) &  (v6_aofa_000(f1_s5_aofa_000) & l1_unialg_1(f1_s5_aofa_000)) ) ) ) ) ) ) ) ).
fof(dt_f2_s5_aofa_000, axiom, m1_subset_1(f2_s5_aofa_000, u1_struct_0(f1_s5_aofa_000))).
fof(dt_f3_s5_aofa_000, axiom, m1_subset_1(f3_s5_aofa_000, u1_struct_0(f1_s5_aofa_000))).
fof(dt_f4_s5_aofa_000, axiom,  ~ (v1_xboole_0(f4_s5_aofa_000)) ).
fof(dt_f5_s5_aofa_000, axiom, m1_subset_1(f5_s5_aofa_000, f4_s5_aofa_000)).
fof(dt_f6_s5_aofa_000, axiom, m1_subset_1(f6_s5_aofa_000, k1_zfmisc_1(f4_s5_aofa_000))).
fof(dt_f7_s5_aofa_000, axiom, m1_aofa_000(f7_s5_aofa_000, f1_s5_aofa_000, f4_s5_aofa_000, f6_s5_aofa_000)).
fof(dt_f1_s6_aofa_000, axiom,  ( ~ (v2_struct_0(f1_s6_aofa_000))  &  (v2_unialg_1(f1_s6_aofa_000) &  (v3_unialg_1(f1_s6_aofa_000) &  (v4_unialg_1(f1_s6_aofa_000) &  (v3_aofa_000(f1_s6_aofa_000) &  (v4_aofa_000(f1_s6_aofa_000) &  (v5_aofa_000(f1_s6_aofa_000) &  (v6_aofa_000(f1_s6_aofa_000) & l1_unialg_1(f1_s6_aofa_000)) ) ) ) ) ) ) ) ).
fof(dt_f2_s6_aofa_000, axiom, m1_subset_1(f2_s6_aofa_000, u1_struct_0(f1_s6_aofa_000))).
fof(dt_f3_s6_aofa_000, axiom, m1_subset_1(f3_s6_aofa_000, u1_struct_0(f1_s6_aofa_000))).
fof(dt_f4_s6_aofa_000, axiom,  ~ (v1_xboole_0(f4_s6_aofa_000)) ).
fof(dt_f5_s6_aofa_000, axiom, m1_subset_1(f5_s6_aofa_000, f4_s6_aofa_000)).
fof(dt_f6_s6_aofa_000, axiom, m1_subset_1(f6_s6_aofa_000, k1_zfmisc_1(f4_s6_aofa_000))).
fof(dt_f7_s6_aofa_000, axiom, m1_aofa_000(f7_s6_aofa_000, f1_s6_aofa_000, f4_s6_aofa_000, f6_s6_aofa_000)).
fof(dt_f1_s7_aofa_000, axiom,  ( ~ (v2_struct_0(f1_s7_aofa_000))  &  (v2_unialg_1(f1_s7_aofa_000) &  (v3_unialg_1(f1_s7_aofa_000) &  (v4_unialg_1(f1_s7_aofa_000) &  (v3_freealg(f1_s7_aofa_000) &  (v3_aofa_000(f1_s7_aofa_000) &  (v4_aofa_000(f1_s7_aofa_000) &  (v5_aofa_000(f1_s7_aofa_000) &  (v6_aofa_000(f1_s7_aofa_000) &  (v12_aofa_000(f1_s7_aofa_000) & l1_unialg_1(f1_s7_aofa_000)) ) ) ) ) ) ) ) ) ) ).
fof(dt_f2_s7_aofa_000, axiom,  ~ (v1_xboole_0(f2_s7_aofa_000)) ).
fof(dt_f3_s7_aofa_000, axiom, m1_subset_1(f3_s7_aofa_000, f2_s7_aofa_000)).
fof(dt_f5_s7_aofa_000, axiom,  (! [A, B] : m1_subset_1(f5_s7_aofa_000(A, B), f2_s7_aofa_000)) ).
fof(dt_f6_s7_aofa_000, axiom,  (! [A, B] : m1_subset_1(f6_s7_aofa_000(A, B), f2_s7_aofa_000)) ).
fof(dt_f7_s7_aofa_000, axiom,  (! [A, B, C] : m1_subset_1(f7_s7_aofa_000(A, B, C), f2_s7_aofa_000)) ).
fof(dt_k21_aofa_000, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k1_zfmisc_1(B)) & m1_aofa_000(D, A, B, C)) ) )  => m1_subset_1(k21_aofa_000(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) ) ).
fof(d5_aofa_000, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] : k5_aofa_000(A, B)=a_2_0_aofa_000(A, B)) ) ) ).
fof(d8_aofa_000, axiom,  (! [A] :  ( (v4_unialg_1(A) & l1_unialg_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (D=k9_aofa_000(A, B, C) <=>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) )  &  (D=k8_nat_1(k9_setfam_1(u1_struct_0(A)), E, C) &  (k8_nat_1(k9_setfam_1(u1_struct_0(A)), E, k5_numbers)=B &  (! [F] :  (v7_ordinal1(F) => k8_nat_1(k9_setfam_1(u1_struct_0(A)), E, k1_nat_1(F, 1))=k2_xboole_0(k8_nat_1(k9_setfam_1(u1_struct_0(A)), E, F), a_3_0_aofa_000(A, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (v7_ordinal1(C) => k9_aofa_000(A, B, k1_nat_1(C, 1))=k2_xboole_0(k9_aofa_000(A, B, C), a_3_1_aofa_000(A, B, C))) ) ) ) ) ) ).
fof(t24_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) &  (C=k3_tarski(a_2_1_aofa_000(A, B)) & v1_unialg_2(C, A)) ) ) ) ) ) ) ).
fof(t25_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_unialg_2(C, A) & r1_tarski(B, C))  => r1_tarski(k3_tarski(a_2_1_aofa_000(A, B)), C)) ) ) ) ) ) ) ).
fof(d9_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  => k10_aofa_000(A)=k6_subset_1(u1_struct_0(A), k3_tarski(a_1_0_aofa_000(A)))) ) ).
fof(d22_aofa_000, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  => k18_aofa_000(A)=k7_subset_1(u1_struct_0(A), k7_subset_1(u1_struct_0(A), k7_subset_1(u1_struct_0(A), k6_subset_1(u1_struct_0(A), k1_tarski(k12_aofa_000(A))), k2_relset_1(u1_struct_0(A), k2_pua2mss1(A, k10_subset_1(3, k4_finseq_1(u1_unialg_1(A)))))), k2_relset_1(u1_struct_0(A), k2_pua2mss1(A, k10_subset_1(4, k4_finseq_1(u1_unialg_1(A)))))), a_1_1_aofa_000(A))) ) ).
fof(fraenkel_a_2_0_aofa_000, axiom,  (! [A, B, C] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_hidden(A, a_2_0_aofa_000(B, C)) <=>  (? [D] :  (m1_subset_1(D, k4_ordinal1) &  (A=k1_funct_1(k8_funct_7(B, D), C) & r2_hidden(C, k9_xtuple_0(k8_funct_7(B, D)))) ) ) ) ) ) ).
fof(fraenkel_a_3_0_aofa_000, axiom,  (! [A, B, C, D] :  ( ( (v4_unialg_1(B) & l1_unialg_1(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(u1_struct_0(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(B)))))) )  & v7_ordinal1(D)) )  =>  (r2_hidden(A, a_3_0_aofa_000(B, C, D)) <=>  (? [E, F] :  ( (m2_subset_1(E, k4_ordinal1, k4_finseq_1(u1_unialg_1(B))) & m2_finseq_2(F, u1_struct_0(B), k3_finseq_2(u1_struct_0(B))))  &  (A=k1_funct_1(k2_pua2mss1(B, E), F) &  (r2_tarski(F, k1_relset_1(k3_finseq_2(u1_struct_0(B)), k2_pua2mss1(B, E))) & r1_tarski(k2_relset_1(u1_struct_0(B), F), k8_nat_1(k9_setfam_1(u1_struct_0(B)), C, D))) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_aofa_000, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  &  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) & v7_ordinal1(D)) )  =>  (r2_hidden(A, a_3_1_aofa_000(B, C, D)) <=>  (? [E, F] :  ( (m2_subset_1(E, k4_ordinal1, k4_finseq_1(u1_unialg_1(B))) & m2_finseq_2(F, u1_struct_0(B), k3_finseq_2(u1_struct_0(B))))  &  (A=k1_funct_1(k2_pua2mss1(B, E), F) &  (r2_tarski(F, k1_relset_1(k3_finseq_2(u1_struct_0(B)), k2_pua2mss1(B, E))) & r1_tarski(k2_relset_1(u1_struct_0(B), F), k9_aofa_000(B, C, D))) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_aofa_000, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_1_aofa_000(B, C)) <=>  (? [D] :  (m1_subset_1(D, k4_ordinal1) & A=k9_aofa_000(B, C, D)) ) ) ) ) ).
fof(fraenkel_a_1_0_aofa_000, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (r2_hidden(A, a_1_0_aofa_000(B)) <=>  (? [C] :  (m5_margrel1(C, u1_struct_0(B), k1_unialg_2(B)) & A=k2_relset_1(u1_struct_0(B), C)) ) ) ) ) ).
fof(fraenkel_a_1_1_aofa_000, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) &  (v3_aofa_000(B) &  (v4_aofa_000(B) &  (v5_aofa_000(B) &  (v6_aofa_000(B) & l1_unialg_1(B)) ) ) ) ) ) ) )  =>  (r2_hidden(A, a_1_1_aofa_000(B)) <=>  (? [C, D] :  ( (m1_subset_1(C, u1_struct_0(B)) & m1_subset_1(D, u1_struct_0(B)))  &  (A=k13_aofa_000(B, C, D) &  ( ~ (C=k13_aofa_000(B, C, D))  &  ~ (D=k13_aofa_000(B, C, D)) ) ) ) ) ) ) ) ).
fof(fc1_aofa_a00, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  &  ~ (v1_xboole_0(D)) )  =>  (v1_relat_1(k1_funct_7(B, C, D)) &  (v2_relat_1(k1_funct_7(B, C, D)) & v1_funct_1(k1_funct_7(B, C, D))) ) ) ) ).
fof(fc2_aofa_a00, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (v1_relat_1(k6_funct_6(A)) &  (v1_funct_1(k6_funct_6(A)) & v1_funcop_1(k6_funct_6(A))) ) ) ) ).
fof(fc3_aofa_a00, axiom,  (! [A, B, C, D, E, F] :  (v1_relat_1(k4_aofa_a00(A, B, C, D, E, F)) &  (v1_funct_1(k4_aofa_a00(A, B, C, D, E, F)) &  (v3_card_1(k4_aofa_a00(A, B, C, D, E, F), 6) & v1_finseq_1(k4_aofa_a00(A, B, C, D, E, F))) ) ) ) ).
fof(fc4_aofa_a00, axiom,  (! [A, B, C, D, E, F, G] :  (v1_relat_1(k6_aofa_a00(A, B, C, D, E, F, G)) &  (v1_funct_1(k6_aofa_a00(A, B, C, D, E, F, G)) &  (v3_card_1(k6_aofa_a00(A, B, C, D, E, F, G), 7) & v1_finseq_1(k6_aofa_a00(A, B, C, D, E, F, G))) ) ) ) ).
fof(fc5_aofa_a00, axiom,  (! [A, B, C, D, E, F, G, H] :  (v1_relat_1(k8_aofa_a00(A, B, C, D, E, F, G, H)) &  (v1_funct_1(k8_aofa_a00(A, B, C, D, E, F, G, H)) &  (v3_card_1(k8_aofa_a00(A, B, C, D, E, F, G, H), 8) & v1_finseq_1(k8_aofa_a00(A, B, C, D, E, F, G, H))) ) ) ) ).
fof(fc6_aofa_a00, axiom,  (! [A, B, C, D, E, F] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  & m2_aofa_a00(D, A, A, B, C)) )  =>  (v1_relat_1(k1_funct_1(k1_funct_1(D, E), F)) & v1_funct_1(k1_funct_1(k1_funct_1(D, E), F))) ) ) ).
fof(rc1_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (? [B] :  (l1_aofa_a00(B, A) & v1_aofa_a00(B, A)) ) ) ) ).
fof(fc7_aofa_a00, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (m2_pboole(C, u4_struct_0(A), k3_msafree4(k3_finseq_2(u1_struct_0(A)), u4_struct_0(A), u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), B)), k3_msafree4(u1_struct_0(A), u4_struct_0(A), u2_msualg_1(A), B)) & m2_aofa_a00(D, u1_struct_0(A), u1_struct_0(A), B, B)) ) )  =>  (v4_msualg_1(g1_aofa_a00(A, B, C, D), A) & v1_aofa_a00(g1_aofa_a00(A, B, C, D), A)) ) ) ).
fof(rc2_aofa_a00, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (? [C] :  (l1_aofa_a00(C, A) &  (v5_msafree4(C, A, B) & v1_aofa_a00(C, A)) ) ) ) ) ).
fof(rc3_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (? [B] :  (l1_aofa_a00(B, A) &  (v4_msualg_1(B, A) & v1_msafree1(B, A)) ) ) ) ) ).
fof(cc1_aofa_a00, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (! [C] :  (l1_aofa_a00(C, A) =>  ( (v5_msafree4(C, A, B) & v6_msafree4(C, A, B))  =>  (v4_msualg_1(C, A) & v5_msafree4(C, A, B)) ) ) ) ) ) ).
fof(rc4_aofa_a00, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (? [C] :  (l1_aofa_a00(C, A) &  (v1_msafree1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & v1_aofa_a00(C, A)) ) ) ) ) ) ) ) ) ).
fof(rc5_aofa_a00, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (? [C] :  (l1_aofa_a00(C, A) &  (v4_msualg_1(C, A) &  ( ~ (v1_catalg_1(C, A))  &  (v1_msafree1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v1_aofa_a00(C, A) & v3_aofa_a00(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc6_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (? [B] :  (l2_aofa_a00(B, A) & v4_aofa_a00(B, A)) ) ) ) ).
fof(fc8_aofa_a00, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  & l3_msualg_1(B, A))  => v1_funcop_1(u4_msualg_1(A, B))) ) ).
fof(cc2_aofa_a00, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (l2_aofa_a00(C, A) =>  (v7_aofa_a00(C, A, B) => v6_aofa_a00(C, A)) ) ) ) ) ).
fof(rc7_aofa_a00, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  (? [C] :  (l2_aofa_a00(C, A) &  (v4_msualg_1(C, A) &  (v4_aofa_a00(C, A) & v7_aofa_a00(C, A, B)) ) ) ) ) ) ).
fof(rc8_aofa_a00, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (l3_msualg_1(B, A) & m1_msafree(C, A, B)) )  =>  (? [D] :  (l3_aofa_a00(D, A, B, C) & v8_aofa_a00(D, A, B, C)) ) ) ) ).
fof(rc9_aofa_a00, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (l3_msualg_1(B, A) & m1_msafree(C, A, B)) )  =>  (? [D] :  (l3_aofa_a00(D, A, B, C) &  (v2_unialg_1(D) &  (v3_unialg_1(D) &  (v4_unialg_1(D) & v8_aofa_a00(D, A, B, C)) ) ) ) ) ) ) ).
fof(rc10_aofa_a00, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (l3_msualg_1(B, A) & m1_msafree(C, A, B)) )  =>  (? [D] :  (l3_aofa_a00(D, A, B, C) &  ( ~ (v2_struct_0(D))  &  (v2_unialg_1(D) &  (v3_unialg_1(D) &  (v4_unialg_1(D) &  (v3_aofa_000(D) &  (v4_aofa_000(D) &  (v5_aofa_000(D) &  (v6_aofa_000(D) & v8_aofa_a00(D, A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc11_aofa_a00, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (l3_msualg_1(B, A) & m1_msafree(C, A, B)) )  =>  (? [D] :  (l3_aofa_a00(D, A, B, C) &  ( ~ (v2_struct_0(D))  &  (v2_unialg_1(D) &  (v3_unialg_1(D) &  (v4_unialg_1(D) &  (v3_aofa_000(D) &  (v4_aofa_000(D) &  (v5_aofa_000(D) &  (v6_aofa_000(D) &  (v9_aofa_000(D) &  ( ~ (v10_aofa_000(D))  &  (v11_aofa_000(D) &  (v12_aofa_000(D) & v8_aofa_a00(D, A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc12_aofa_a00, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) )  =>  (? [C] :  (m3_pboole(C, A, B) &  (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v1_prob_2(C)) ) ) ) ) ) ) ) ) ).
fof(fc9_aofa_a00, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( (v4_msualg_1(C, A) &  (v4_msafree4(C, A, B) & l3_msualg_1(C, A)) )  &  (v2_relat_1(D) & m1_msafree(D, A, B)) ) ) )  =>  ~ (v1_xboole_0(k12_aofa_a00(A, B, C, D))) ) ) ).
fof(cc3_aofa_a00, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  &  (v2_relat_1(D) & m1_msafree(D, A, B)) ) ) )  =>  (! [E] :  (m1_subset_1(E, k12_aofa_a00(A, B, C, D)) =>  (v1_relat_1(E) & v1_funct_1(E)) ) ) ) ) ).
fof(cc4_aofa_a00, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  &  (v2_relat_1(D) & m1_msafree(D, A, B)) ) ) )  =>  (! [E] :  (m1_subset_1(E, k12_aofa_a00(A, B, C, D)) =>  (v4_relat_1(E, u1_struct_0(A)) & v1_funcop_1(E)) ) ) ) ) ).
fof(cc5_aofa_a00, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( (v4_msualg_1(C, A) &  (v4_msafree4(C, A, B) & l3_msualg_1(C, A)) )  &  (v2_relat_1(D) & m1_msafree(D, A, B)) ) ) )  =>  (! [E] :  (m1_subset_1(E, k12_aofa_a00(A, B, C, D)) => v1_partfun1(E, u1_struct_0(A))) ) ) ) ).
fof(fc10_aofa_a00, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) &  (v2_msafree(B, A) & l3_msualg_1(B, A)) )  &  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  &  (v2_relat_1(D) & m1_msafree(D, A, B)) ) ) )  =>  ~ (v1_xboole_0(k12_aofa_a00(A, B, C, D))) ) ) ).
fof(cc6_aofa_a00, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  & m1_subset_1(C, u4_struct_0(A))) )  =>  (! [D] :  (m1_subset_1(D, k3_msualg_1(A, C, B)) =>  (v1_relat_1(D) & v1_funct_1(D)) ) ) ) ) ).
fof(fc11_aofa_a00, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) & l3_msualg_1(C, A)) )  &  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) & l3_msualg_1(D, A)) )  &  (v2_relat_1(E) & m1_msafree(E, A, C)) ) ) ) )  =>  ~ (v1_xboole_0(k12_aofa_a00(A, C, D, E))) ) ) ).
fof(rc13_aofa_a00, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) ) ) )  =>  (? [D] :  (l4_aofa_a00(D, A, B, C) & v10_aofa_a00(D, A, B, C)) ) ) ) ).
fof(rc14_aofa_a00, axiom,  (? [A] :  (l5_aofa_a00(A) & v12_aofa_a00(A)) ) ).
fof(rc15_aofa_a00, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (l5_aofa_a00(B) &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v12_aofa_a00(B) & v14_aofa_a00(B, A)) ) ) ) ) ) ) ).
fof(rc16_aofa_a00, axiom,  (? [A] :  (l6_aofa_a00(A) & v15_aofa_a00(A)) ) ).
fof(rc17_aofa_a00, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (l6_aofa_a00(B) &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v14_aofa_a00(B, A) & v15_aofa_a00(B)) ) ) ) ) ) ) ).
fof(rc18_aofa_a00, axiom,  (? [A] :  (l6_aofa_a00(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v14_aofa_a00(A, 3) &  (v15_aofa_a00(A) & v16_aofa_a00(A)) ) ) ) ) ) ) ).
fof(rc19_aofa_a00, axiom,  (? [A] :  (l5_aofa_a00(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & v13_aofa_a00(A)) ) ) ) ).
fof(fc12_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) & l5_aofa_a00(A)) ) )  => v2_funct_1(u7_aofa_a00(A))) ) ).
fof(rc20_aofa_a00, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & v7_ordinal1(B))  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k13_finseq_1(A), A))) &  (v1_relat_1(C) &  (v4_relat_1(C, k13_finseq_1(A)) &  (v5_relat_1(C, A) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v2_margrel1(C) &  (v3_margrel1(C, A) & v8_comput_1(C, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc21_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) & l6_aofa_a00(A)) ) )  =>  (? [B] :  (l3_msualg_1(B, A) &  (v3_msualg_1(B, A) &  (v4_msualg_1(B, A) & v17_aofa_a00(B, A)) ) ) ) ) ) ).
fof(rc22_aofa_a00, axiom,  (? [A] :  (l6_aofa_a00(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v14_aofa_a00(A, 10) &  (v15_aofa_a00(A) &  (v16_aofa_a00(A) & v18_aofa_a00(A, 4, 1)) ) ) ) ) ) ) ) ).
fof(rc23_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) )  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) & v19_aofa_a00(B, A)) ) ) ) ).
fof(fc13_aofa_a00, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  ~ (v1_xboole_0(k1_funct_1(B, 1))) ) ) ).
fof(rc24_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (? [B] :  (l3_msualg_1(B, A) &  (v3_msualg_1(B, A) &  (v4_msualg_1(B, A) &  ( ~ (v1_catalg_1(B, A))  &  (v17_aofa_a00(B, A) & v20_aofa_a00(B, 4, 1, A)) ) ) ) ) ) ) ) ).
fof(cc7_aofa_a00, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  &  (v4_msualg_1(B, A) &  (v17_aofa_a00(B, A) &  (v20_aofa_a00(B, 4, 1, A) & l3_msualg_1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_funct_1(u3_msualg_1(A, B), 1)) => v1_int_1(C)) ) ) ) ).
fof(fc14_aofa_a00, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_aofa_a00(A))  &  ( ~ (v2_struct_0(B))  & l5_aofa_a00(B)) )  =>  ( ~ (v2_struct_0(k35_aofa_a00(A, B)))  & v15_aofa_a00(k35_aofa_a00(A, B))) ) ) ).
fof(fc15_aofa_a00, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l6_aofa_a00(A)) )  &  ( ~ (v2_struct_0(B))  & l5_aofa_a00(B)) )  =>  ( ~ (v11_struct_0(k35_aofa_a00(A, B)))  & v15_aofa_a00(k35_aofa_a00(A, B))) ) ) ).
fof(fc16_aofa_a00, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v14_aofa_a00(C, A) & l6_aofa_a00(C)) ) )  &  ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v14_aofa_a00(D, B) & l5_aofa_a00(D)) ) ) ) ) )  =>  (v14_aofa_a00(k35_aofa_a00(C, D), k2_xcmplx_0(A, B)) & v15_aofa_a00(k35_aofa_a00(C, D))) ) ) ).
fof(rc25_aofa_a00, axiom,  (! [A, B] :  (? [C] :  (l5_aofa_a00(C) &  ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v14_struct_0(C) &  (v1_instalg1(C) &  (v12_aofa_a00(C) &  (v14_aofa_a00(C, 4) & v21_aofa_a00(C, A, B, 1)) ) ) ) ) ) ) ) ) ).
fof(rc26_aofa_a00, axiom,  (? [A] :  (l6_aofa_a00(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v14_aofa_a00(A, 14) &  (v15_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) & v23_aofa_a00(A, 11)) ) ) ) ) ) ) ) ) ) ).
fof(rc27_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v21_aofa_a00(A, 1, 1, 11) & l6_aofa_a00(A)) ) )  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) & v19_aofa_a00(B, A)) ) ) ) ).
fof(fc17_aofa_a00, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => v2_relat_1(k5_finseq_1(A))) ) ).
fof(fc18_aofa_a00, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ~ (v1_xboole_0(C)) ) )  => v2_relat_1(k11_finseq_1(A, B, C))) ) ).
fof(fc19_aofa_a00, axiom,  (! [A, B, C, D] :  ( ( (v4_funct_1(A) &  ~ (v1_xboole_0(A)) )  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(D, k4_card_3(k11_finseq_1(A, B, C)))) ) )  =>  (v1_relat_1(k1_funct_1(D, 1)) & v1_funct_1(k1_funct_1(D, 1))) ) ) ).
fof(fc20_aofa_a00, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v5_membered(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(C, k4_card_3(k10_finseq_1(A, B)))) )  => v1_int_1(k1_funct_1(C, 1))) ) ).
fof(rc28_aofa_a00, axiom,  (! [A, B, C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v21_aofa_a00(C, A, B, 1) & l5_aofa_a00(C)) ) )  =>  (? [D] :  (l3_msualg_1(D, C) &  (v3_msualg_1(D, C) &  (v4_msualg_1(D, C) &  ( ~ (v1_catalg_1(D, C))  & v22_aofa_a00(D, C, A, B, 1)) ) ) ) ) ) ) ).
fof(rc29_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  =>  (? [B] :  (l3_msualg_1(B, A) &  (v3_msualg_1(B, A) &  (v4_msualg_1(B, A) &  ( ~ (v1_catalg_1(B, A))  &  (v17_aofa_a00(B, A) &  (v20_aofa_a00(B, 4, 1, A) & v22_aofa_a00(B, A, 1, 1, 11)) ) ) ) ) ) ) ) ) ).
fof(t1_aofa_a00, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v5_relat_1(C, A))  => r1_tarski(k7_relat_1(C, B), A)) ) ) ) ).
fof(t2_aofa_a00, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r2_pboole(A, B, C) => r2_pboole(k3_finseq_2(A), k6_finseq_2(A, B), k6_finseq_2(A, C))) ) ) ) ) ) ).
fof(t3_aofa_a00, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r2_pboole(A, C, D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  => r2_pboole(B, k3_msafree4(A, B, E, C), k3_msafree4(A, B, E, D))) ) ) ) ) ) ) ) ) ) ).
fof(t4_aofa_a00, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_funcop_1(B)) )  => k1_funct_6(k3_relat_1(B, A))=k3_relat_1(B, k1_funct_6(A))) ) ) ) ).
fof(t5_aofa_a00, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (D=k1_funct_1(C, A) => k1_funct_1(D, B)=k4_funct_6(C, A, B)) ) ) ) ) ) ) ).
fof(d1_aofa_a00, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, A) =>  (! [C] : k2_aofa_a00(A, B, C)=k1_aofa_a00(A, k1_pboole(A), B, k1_tarski(C))) ) ) ) ).
fof(t6_aofa_a00, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (k1_msafree4(A, k2_aofa_a00(A, B, D), B)=k1_tarski(D) &  ( ~ (B=C)  => k1_msafree4(A, k2_aofa_a00(A, B, D), C)=k1_xboole_0) ) ) ) ) ) ) ) ) ).
fof(t7_aofa_a00, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  (r2_tarski(D, k1_msafree4(A, C, B)) => m3_pboole(k2_aofa_a00(A, B, D), A, C)) ) ) ) ) ) ) ) ).
fof(d2_aofa_a00, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  (m2_pboole(D, A, B, C) =>  (! [E] :  (r2_tarski(E, A) =>  (! [F] :  (r2_tarski(F, k1_funct_1(B, E)) =>  (! [G] :  (r2_tarski(G, k1_funct_1(C, E)) =>  (! [H] :  (m2_pboole(H, A, B, C) =>  (H=k3_aofa_a00(A, B, C, D, E, F, G) <=>  (k2_msafree4(A, B, C, H, E)=k1_funct_7(k2_msafree4(A, B, C, D, E), F, G) &  (! [I] :  (r2_tarski(I, A) =>  (I=E | r2_funct_2(k1_funct_1(B, I), k1_funct_1(C, I), k2_msafree4(A, B, C, H, I), k2_msafree4(A, B, C, D, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_aofa_a00, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  ( (r2_hidden(B, A) &  (r2_hidden(C, A) &  (r2_hidden(D, A) &  (r2_hidden(E, A) &  (r2_hidden(F, A) & r2_hidden(G, A)) ) ) ) )  => r1_tarski(k4_enumset1(B, C, D, E, F, G), A)) ) ) ) ) ) ) ) ).
fof(t14_aofa_a00, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  (! [J] :  ( (r2_hidden(B, A) &  (r2_hidden(C, A) &  (r2_hidden(D, A) &  (r2_hidden(E, A) &  (r2_hidden(F, A) &  (r2_hidden(G, A) &  (r2_hidden(H, A) &  (r2_hidden(I, A) & r2_hidden(J, A)) ) ) ) ) ) ) )  => r1_tarski(k7_enumset1(B, C, D, E, F, G, H, I, J), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_aofa_a00, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  (! [J] :  (! [K] :  ( (r2_hidden(B, A) &  (r2_hidden(C, A) &  (r2_hidden(D, A) &  (r2_hidden(E, A) &  (r2_hidden(F, A) &  (r2_hidden(G, A) &  (r2_hidden(H, A) &  (r2_hidden(I, A) &  (r2_hidden(J, A) & r2_hidden(K, A)) ) ) ) ) ) ) ) )  => r1_tarski(k8_enumset1(B, C, D, E, F, G, H, I, J, K), A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_aofa_a00, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] : k2_xboole_0(k1_tarski(A), k6_enumset1(B, C, D, E, F, G, H, I))=k7_enumset1(A, B, C, D, E, F, G, H, I)) ) ) ) ) ) ) ) ) ).
fof(t17_aofa_a00, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  (! [J] : k2_xboole_0(k1_tarski(A), k7_enumset1(B, C, D, E, F, G, H, I, J))=k8_enumset1(A, B, C, D, E, F, G, H, I, J)) ) ) ) ) ) ) ) ) ) ).
fof(t18_aofa_a00, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] : k2_xboole_0(k1_enumset1(A, B, C), k4_enumset1(D, E, F, G, H, I))=k7_enumset1(A, B, C, D, E, F, G, H, I)) ) ) ) ) ) ) ) ) ).
fof(t19_aofa_a00, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ~ ( ( ~ (A=B)  &  ( ~ (A=C)  &  ( ~ (A=D)  &  ( ~ (B=C)  &  ( ~ (B=D)  &  ( ~ (C=D)  &  ~ (v2_funct_1(k7_finseq_4(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_aofa_a00, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] : k4_aofa_a00(A, B, C, D, E, F)=k7_finseq_1(k8_finseq_4(A, B, C, D, E), k9_finseq_1(F))) ) ) ) ) ) ).
fof(t20_aofa_a00, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) & v1_finseq_1(G)) )  =>  (G=k4_aofa_a00(A, B, C, D, E, F) <=>  (k3_finseq_1(G)=6 &  (k1_funct_1(G, 1)=A &  (k1_funct_1(G, 2)=B &  (k1_funct_1(G, 3)=C &  (k1_funct_1(G, 4)=D &  (k1_funct_1(G, 5)=E & k1_funct_1(G, 6)=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_aofa_a00, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] : k10_xtuple_0(k4_aofa_a00(A, B, C, D, E, F))=k4_enumset1(A, B, C, D, E, F)) ) ) ) ) ) ).
fof(d4_aofa_a00, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] : k6_aofa_a00(A, B, C, D, E, F, G)=k7_finseq_1(k8_finseq_4(A, B, C, D, E), k10_finseq_1(F, G))) ) ) ) ) ) ) ).
fof(t22_aofa_a00, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  ( (v1_relat_1(H) &  (v1_funct_1(H) & v1_finseq_1(H)) )  =>  (H=k6_aofa_a00(A, B, C, D, E, F, G) <=>  (k3_finseq_1(H)=7 &  (k1_funct_1(H, 1)=A &  (k1_funct_1(H, 2)=B &  (k1_funct_1(H, 3)=C &  (k1_funct_1(H, 4)=D &  (k1_funct_1(H, 5)=E &  (k1_funct_1(H, 6)=F & k1_funct_1(H, 7)=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_aofa_a00, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] : k10_xtuple_0(k6_aofa_a00(A, B, C, D, E, F, G))=k5_enumset1(A, B, C, D, E, F, G)) ) ) ) ) ) ) ).
fof(d5_aofa_a00, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] : k8_aofa_a00(A, B, C, D, E, F, G, H)=k7_finseq_1(k8_finseq_4(A, B, C, D, E), k11_finseq_1(F, G, H))) ) ) ) ) ) ) ) ).
fof(t24_aofa_a00, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  ( (v1_relat_1(I) &  (v1_funct_1(I) & v1_finseq_1(I)) )  =>  (I=k8_aofa_a00(A, B, C, D, E, F, G, H) <=>  (k3_finseq_1(I)=8 &  (k1_funct_1(I, 1)=A &  (k1_funct_1(I, 2)=B &  (k1_funct_1(I, 3)=C &  (k1_funct_1(I, 4)=D &  (k1_funct_1(I, 5)=E &  (k1_funct_1(I, 6)=F &  (k1_funct_1(I, 7)=G & k1_funct_1(I, 8)=H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_aofa_a00, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] : k10_xtuple_0(k8_aofa_a00(A, B, C, D, E, F, G, H))=k6_enumset1(A, B, C, D, E, F, G, H)) ) ) ) ) ) ) ) ).
fof(t26_aofa_a00, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] : k10_xtuple_0(k7_finseq_1(k8_aofa_a00(A, B, C, D, E, F, G, H), k9_finseq_1(I)))=k7_enumset1(A, B, C, D, E, F, G, H, I)) ) ) ) ) ) ) ) ) ).
fof(t27_aofa_a00, axiom, k2_finseq_1(9)=k7_enumset1(1, 2, 3, 4, 5, 6, 7, 8, 9)).
fof(t28_aofa_a00, axiom, k2_finseq_1(10)=k8_enumset1(1, 2, 3, 4, 5, 6, 7, 8, 9, 10)).
fof(t29_aofa_a00, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  (k4_finseq_1(k7_finseq_1(k8_aofa_a00(A, B, C, D, E, F, G, H), k9_finseq_1(I)))=k2_finseq_1(9) &  (k1_funct_1(k7_finseq_1(k8_aofa_a00(A, B, C, D, E, F, G, H), k9_finseq_1(I)), 1)=A &  (k1_funct_1(k7_finseq_1(k8_aofa_a00(A, B, C, D, E, F, G, H), k9_finseq_1(I)), 2)=B &  (k1_funct_1(k7_finseq_1(k8_aofa_a00(A, B, C, D, E, F, G, H), k9_finseq_1(I)), 3)=C &  (k1_funct_1(k7_finseq_1(k8_aofa_a00(A, B, C, D, E, F, G, H), k9_finseq_1(I)), 4)=D &  (k1_funct_1(k7_finseq_1(k8_aofa_a00(A, B, C, D, E, F, G, H), k9_finseq_1(I)), 5)=E &  (k1_funct_1(k7_finseq_1(k8_aofa_a00(A, B, C, D, E, F, G, H), k9_finseq_1(I)), 6)=F &  (k1_funct_1(k7_finseq_1(k8_aofa_a00(A, B, C, D, E, F, G, H), k9_finseq_1(I)), 7)=G &  (k1_funct_1(k7_finseq_1(k8_aofa_a00(A, B, C, D, E, F, G, H), k9_finseq_1(I)), 8)=H & k1_funct_1(k7_finseq_1(k8_aofa_a00(A, B, C, D, E, F, G, H), k9_finseq_1(I)), 9)=I) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_aofa_a00, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  (! [J] :  (k4_finseq_1(k7_finseq_1(k8_aofa_a00(A, B, C, D, E, F, G, H), k10_finseq_1(I, J)))=k2_finseq_1(10) &  (k1_funct_1(k7_finseq_1(k8_aofa_a00(A, B, C, D, E, F, G, H), k10_finseq_1(I, J)), 1)=A &  (k1_funct_1(k7_finseq_1(k8_aofa_a00(A, B, C, D, E, F, G, H), k10_finseq_1(I, J)), 2)=B &  (k1_funct_1(k7_finseq_1(k8_aofa_a00(A, B, C, D, E, F, G, H), k10_finseq_1(I, J)), 3)=C &  (k1_funct_1(k7_finseq_1(k8_aofa_a00(A, B, C, D, E, F, G, H), k10_finseq_1(I, J)), 4)=D &  (k1_funct_1(k7_finseq_1(k8_aofa_a00(A, B, C, D, E, F, G, H), k10_finseq_1(I, J)), 5)=E &  (k1_funct_1(k7_finseq_1(k8_aofa_a00(A, B, C, D, E, F, G, H), k10_finseq_1(I, J)), 6)=F &  (k1_funct_1(k7_finseq_1(k8_aofa_a00(A, B, C, D, E, F, G, H), k10_finseq_1(I, J)), 7)=G &  (k1_funct_1(k7_finseq_1(k8_aofa_a00(A, B, C, D, E, F, G, H), k10_finseq_1(I, J)), 8)=H &  (k1_funct_1(k7_finseq_1(k8_aofa_a00(A, B, C, D, E, F, G, H), k10_finseq_1(I, J)), 9)=I & k1_funct_1(k7_finseq_1(k8_aofa_a00(A, B, C, D, E, F, G, H), k10_finseq_1(I, J)), 10)=J) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_aofa_a00, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) & v1_funcop_1(D)) ) ) )  =>  (m1_aofa_a00(D, A, B, C) <=>  (! [E] :  (! [F] :  (r2_tarski(E, A) =>  (k9_xtuple_0(k1_funct_1(D, E))=k1_funct_1(C, E) &  (r2_tarski(F, k1_funct_1(C, E)) =>  (v1_relat_1(k1_funct_1(k1_funct_1(D, E), F)) &  (v4_relat_1(k1_funct_1(k1_funct_1(D, E), F), B) &  (v1_funct_1(k1_funct_1(k1_funct_1(D, E), F)) & v1_partfun1(k1_funct_1(k1_funct_1(D, E), F), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_aofa_a00, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) & v1_partfun1(D, B)) ) )  =>  (! [E] :  (m1_aofa_a00(E, A, B, C) =>  (m2_aofa_a00(E, A, B, C, D) <=>  (! [F] :  (! [G] :  ( (r2_tarski(F, A) & r2_tarski(G, k1_funct_1(C, F)))  => m3_pboole(k1_funct_1(k1_funct_1(E, F), G), B, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_aofa_a00, axiom,  (! [A] :  (l1_msualg_1(A) =>  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_aofa_a00(A, B, C, D) <=>  (k1_funct_1(u1_msualg_1(A), B)=C & k1_funct_1(u2_msualg_1(A), B)=D) ) ) ) ) ) ) ) ).
fof(t31_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_aofa_a00(A, B, k1_xboole_0, C) =>  (! [D] :  (l3_msualg_1(D, A) =>  ( ~ (k1_msafree4(u1_struct_0(A), u3_msualg_1(A, D), C)=k1_xboole_0)  => m1_subset_1(k1_funct_1(k5_msualg_1(A, k10_subset_1(B, u4_struct_0(A)), D), k1_xboole_0), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, D), C))) ) ) ) ) ) ) ) ) ) ).
fof(t32_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_aofa_a00(A, B, k9_finseq_1(C), D) =>  (! [E] :  (l3_msualg_1(E, A) =>  ~ ( ( ~ (k1_funct_1(u3_msualg_1(A, E), C)=k1_xboole_0)  &  ( ~ (k1_msafree4(u1_struct_0(A), u3_msualg_1(A, E), D)=k1_xboole_0)  &  ~ ( (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, E), C)) => m1_subset_1(k1_funct_1(k5_msualg_1(A, k10_subset_1(B, u4_struct_0(A)), E), k9_finseq_1(F)), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, E), D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_aofa_a00(A, B, k10_finseq_1(C, D), E) =>  (! [F] :  (l3_msualg_1(F, A) =>  ~ ( ( ~ (k1_funct_1(u3_msualg_1(A, F), C)=k1_xboole_0)  &  ( ~ (k1_funct_1(u3_msualg_1(A, F), D)=k1_xboole_0)  &  ( ~ (k1_msafree4(u1_struct_0(A), u3_msualg_1(A, F), E)=k1_xboole_0)  &  ~ ( (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, F), C)) =>  (! [H] :  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, F), D)) => m1_subset_1(k1_funct_1(k5_msualg_1(A, k10_subset_1(B, u4_struct_0(A)), F), k10_finseq_1(G, H)), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, F), E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r1_aofa_a00(A, B, k11_finseq_1(C, D, E), F) =>  (! [G] :  (l3_msualg_1(G, A) =>  ~ ( ( ~ (k1_funct_1(u3_msualg_1(A, G), C)=k1_xboole_0)  &  ( ~ (k1_funct_1(u3_msualg_1(A, G), D)=k1_xboole_0)  &  ( ~ (k1_funct_1(u3_msualg_1(A, G), E)=k1_xboole_0)  &  ( ~ (k1_msafree4(u1_struct_0(A), u3_msualg_1(A, G), F)=k1_xboole_0)  &  ~ ( (! [H] :  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, G), C)) =>  (! [I] :  (m1_subset_1(I, k1_funct_1(u3_msualg_1(A, G), D)) =>  (! [J] :  (m1_subset_1(J, k1_funct_1(u3_msualg_1(A, G), E)) => m1_subset_1(k1_funct_1(k5_msualg_1(A, k10_subset_1(B, u4_struct_0(A)), G), k11_finseq_1(H, I, J)), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, G), F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_aofa_a00, axiom,  (! [A] :  (l1_msualg_1(A) =>  (! [B] :  (l1_msualg_1(B) =>  (g1_msualg_1(u1_struct_0(A), u4_struct_0(A), u1_msualg_1(A), u2_msualg_1(A))=g1_msualg_1(u1_struct_0(B), u4_struct_0(B), u1_msualg_1(B), u2_msualg_1(B)) =>  (! [C] :  (! [D] :  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( (E=F & r1_aofa_a00(A, C, D, E))  => r1_aofa_a00(B, C, D, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l1_aofa_a00(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_funct_1(u3_msualg_1(A, B), C)) => k10_aofa_a00(A, B, C, D)=k1_funct_1(k1_msafree4(u1_struct_0(A), u1_aofa_a00(A, B), C), D)) ) ) ) ) ) ) ) ).
fof(t36_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (l3_msualg_1(C, A) =>  (g3_msualg_1(A, u3_msualg_1(A, B), u4_msualg_1(A, B))=g3_msualg_1(A, u3_msualg_1(A, C), u4_msualg_1(A, C)) =>  (! [D] :  (m3_pboole(D, u1_struct_0(A), u3_msualg_1(A, B)) =>  (! [E] :  (m3_pboole(E, u1_struct_0(A), u3_msualg_1(A, C)) =>  (r8_pboole(u1_struct_0(A), D, E) => k12_msualg_2(A, B, D)=k12_msualg_2(A, C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (l3_msualg_1(C, A) =>  (g3_msualg_1(A, u3_msualg_1(A, B), u4_msualg_1(A, B))=g3_msualg_1(A, u3_msualg_1(A, C), u4_msualg_1(A, C)) =>  (! [D] :  (m1_msafree(D, A, B) => m1_msafree(D, A, C)) ) ) ) ) ) ) ) ) ).
fof(t38_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (g3_msualg_1(A, u3_msualg_1(A, B), u4_msualg_1(A, B))=g3_msualg_1(A, u3_msualg_1(A, C), u4_msualg_1(A, C)) =>  (! [D] :  (m1_msafree(D, A, B) =>  (! [E] :  (m1_msafree(E, A, C) =>  ( (r8_pboole(u1_struct_0(A), D, E) & v1_msafree(D, A, B))  => v1_msafree(E, A, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (? [D] :  (m2_aofa_a00(D, u1_struct_0(A), u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, C)) &  (? [E] :  ( (v5_msafree4(E, A, B) &  (v6_msafree4(E, A, B) &  (v7_msafree4(E, A, B) &  (v8_msafree4(E, A, B) & l1_aofa_a00(E, A)) ) ) )  &  (E=g1_aofa_a00(A, u3_msualg_1(A, C), u4_msualg_1(A, C), D) & v3_aofa_a00(E, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) & l1_aofa_a00(C, A)) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, C), D)) => m3_pboole(k10_aofa_a00(A, C, D, E), u1_struct_0(A), k13_msafree(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(t41_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) & l1_aofa_a00(C, A)) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, C), D)) =>  (r2_tarski(E, k1_msafree4(u1_struct_0(A), k13_msafree(A, B), D)) => r8_pboole(u1_struct_0(A), k10_aofa_a00(A, C, D, E), k2_aofa_a00(u1_struct_0(A), D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_aofa_a00, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (m3_aofa_a00(C, A, B) <=>  (! [D] :  (r2_tarski(D, A) => m1_subset_1(k1_funct_1(C, D), k1_funct_1(B, D))) ) ) ) ) ) ) ) ).
fof(d13_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l2_aofa_a00(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_funct_1(u3_msualg_1(A, B), C)) =>  (v5_aofa_a00(D, A, B, C) <=> D=k1_msafree4(u1_struct_0(A), u2_aofa_a00(A, B), C)) ) ) ) ) ) ) ) ) ).
fof(d14_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l2_aofa_a00(B, A) =>  (v6_aofa_a00(B, A) <=>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (r2_tarski(D, k3_msualg_1(A, C, B)) =>  ( (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, B), F)) =>  ~ ( (r2_tarski(E, k4_finseq_1(k1_msualg_1(A, C))) &  (F=k1_funct_1(k1_msualg_1(A, C), E) &  (G=k1_funct_1(D, E) & v5_aofa_a00(G, A, B, F)) ) ) ) ) ) ) ) ) )  |  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, B), k2_msualg_1(A, C))) =>  (E=k1_funct_1(k5_msualg_1(A, C, B), D) => v5_aofa_a00(E, A, B, k2_msualg_1(A, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (l2_aofa_a00(C, A) =>  (v7_aofa_a00(C, A, B) <=>  (v6_aofa_a00(C, A) &  (r8_pboole(u1_struct_0(A), u2_aofa_a00(A, C), u3_msualg_1(A, B)) &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_msafree4(u1_struct_0(A), u3_msualg_1(A, C), D)=k1_ordinal1(k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), D))) )  &  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k3_msualg_1(A, D, B)) =>  ~ ( ( ~ (k3_msualg_1(A, D, B)=k1_xboole_0)  &  ( ~ (k1_funct_1(k5_msualg_1(A, D, C), E)=k1_funct_1(k5_msualg_1(A, D, B), E))  &  ~ (k1_funct_1(k5_msualg_1(A, D, C), E)=k1_msafree4(u1_struct_0(A), u2_aofa_a00(A, C), k2_msualg_1(A, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m1_msafree(C, A, B) =>  (! [D] :  (l3_aofa_a00(D, A, B, C) =>  (v9_aofa_a00(D, A, B, C) <=>  (v1_prob_2(u3_msualg_1(A, B)) & v2_funct_1(u3_aofa_a00(A, B, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t42_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) &  (v3_aofa_000(B) &  (v4_aofa_000(B) &  (v5_aofa_000(B) &  (v6_aofa_000(B) & l1_unialg_1(B)) ) ) ) ) ) ) )  =>  (g1_unialg_1(u1_struct_0(A), u1_unialg_1(A))=g1_unialg_1(u1_struct_0(B), u1_unialg_1(B)) =>  (k12_aofa_000(A)=k12_aofa_000(B) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( (C=E & D=F)  =>  (k13_aofa_000(A, C, D)=k13_aofa_000(B, E, F) &  (k16_aofa_000(A, C, D)=k16_aofa_000(B, E, F) &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  (G=H => k14_aofa_000(A, G, C, D)=k14_aofa_000(B, H, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) &  (v3_aofa_000(B) &  (v4_aofa_000(B) &  (v5_aofa_000(B) &  (v6_aofa_000(B) & l1_unialg_1(B)) ) ) ) ) ) ) )  =>  (g1_unialg_1(u1_struct_0(A), u1_unialg_1(A))=g1_unialg_1(u1_struct_0(B), u1_unialg_1(B)) => k18_aofa_000(A)=k18_aofa_000(B)) ) ) ) ) ).
fof(t44_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (C=D =>  (! [E] :  (m5_margrel1(E, u1_struct_0(A), k1_unialg_2(A)) =>  (! [F] :  (m5_margrel1(F, u1_struct_0(B), k1_unialg_2(B)) =>  ( (E=F & r2_unialg_2(A, C, E))  => r2_unialg_2(B, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (g1_unialg_1(u1_struct_0(A), u1_unialg_1(A))=g1_unialg_1(u1_struct_0(B), u1_unialg_1(B)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  ( (C=D & v1_unialg_2(C, A))  => v1_unialg_2(D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t46_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (g1_unialg_1(u1_struct_0(A), u1_unialg_1(A))=g1_unialg_1(u1_struct_0(B), u1_unialg_1(B)) =>  (! [C] :  (m1_freealg(C, A) => m1_freealg(C, B)) ) ) ) ) ) ) ).
fof(t47_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (g1_unialg_1(u1_struct_0(A), u1_unialg_1(A))=g1_unialg_1(u1_struct_0(B), u1_unialg_1(B)) => k1_unialg_1(A)=k1_unialg_1(B)) ) ) ) ) ).
fof(d17_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v2_relat_1(C) & m1_msafree(C, A, B))  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l3_aofa_a00(D, A, B, C))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_msafree4(F, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, E)) =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, B), E)) => k11_aofa_a00(A, B, C, D, E, F, G)=k1_funct_1(u3_aofa_a00(A, B, C, D), k4_tarski(F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  ( (v2_relat_1(D) & m1_msafree(D, A, B))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k4_autalg_1(u1_struct_0(A), D, u3_msualg_1(A, C)))) =>  (E=k12_aofa_a00(A, B, C, D) <=>  (! [F] :  (m2_pboole(F, u1_struct_0(A), D, u3_msualg_1(A, C)) =>  (r2_tarski(F, E) <=>  (? [G] :  (m2_pboole(G, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) &  (r1_msualg_3(A, B, C, G) & r8_pboole(u1_struct_0(A), F, k1_msafree(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C), D, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  ( (v2_relat_1(D) & m1_msafree(D, A, B))  =>  (! [E] :  (r2_tarski(E, k12_aofa_a00(A, B, C, D)) => m2_pboole(E, u1_struct_0(A), D, u3_msualg_1(A, C))) ) ) ) ) ) ) ) ) ) ).
fof(d19_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  ( (v2_relat_1(D) & m1_msafree(D, A, B))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_msafree4(F, u1_struct_0(A), D, k1_msafree4(u1_struct_0(A), D, E)) =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, C), E)) =>  (! [H] :  (m1_subset_1(H, k1_zfmisc_1(k12_aofa_a00(A, B, C, D))) =>  (H=k13_aofa_a00(A, B, C, D, E, F, G) <=>  (! [I] :  (m2_pboole(I, u1_struct_0(A), D, u3_msualg_1(A, C)) =>  (r2_tarski(I, H) <=>  (r2_tarski(I, k12_aofa_a00(A, B, C, D)) &  ~ (k1_msafree4(k1_msafree4(u1_struct_0(A), D, E), k2_msafree4(u1_struct_0(A), D, u3_msualg_1(A, C), I, E), F)=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d20_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) & l3_msualg_1(C, A)) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) & l3_msualg_1(D, A)) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, C), E)) =>  (! [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) & v1_funcop_1(G)) )  =>  ( (? [H] :  (m2_pboole(H, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D)) &  (? [I] :  (m1_msafree(I, A, C) &  (r1_msualg_3(A, C, D, H) &  (I=k1_funct_6(G) & G=k1_msafree(u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D), I, H)) ) ) ) ) )  =>  (! [H] :  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, D), E)) =>  (H=k14_aofa_a00(A, B, C, D, E, F, G) <=>  (? [I] :  (m2_pboole(I, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D)) &  (? [J] :  (m1_msafree(J, A, C) &  (r1_msualg_3(A, C, D, I) &  (J=k1_funct_6(G) &  (G=k1_msafree(u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D), J, I) & H=k1_msafree4(k1_funct_1(u3_msualg_1(A, C), E), k2_msafree4(u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D), I, E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d21_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (l4_aofa_a00(D, A, B, C) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, C), E)) =>  (m4_aofa_a00(F, A, B, C, D, E) <=> r2_tarski(F, k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, D), E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d22_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (l4_aofa_a00(D, A, B, C) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k15_aofa_a00(A, B, C, D, E)=k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, D), E)) ) ) ) ) ) ) ) ) ) ).
fof(d23_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (l4_aofa_a00(D, A, B, C) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m4_aofa_a00(F, A, B, C, D, E) => k16_aofa_a00(A, B, C, D, E, F)=k1_funct_1(k2_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, D), k13_msafree(A, B), u5_aofa_a00(A, B, C, D), E), F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d24_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l1_aofa_a00(C, A)) ) ) )  =>  (! [D] :  (l4_aofa_a00(D, A, B, C) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m4_aofa_a00(F, A, B, C, D, E) =>  (m2_pboole(k1_funct_1(k1_msafree4(u1_struct_0(A), u6_aofa_a00(A, B, C, D), E), F), u1_struct_0(A), k10_aofa_a00(A, C, E, F), u3_msualg_1(A, C)) => k17_aofa_a00(A, B, C, D, E, F)=k1_funct_1(k1_msafree4(u1_struct_0(A), u6_aofa_a00(A, B, C, D), E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d25_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l1_aofa_a00(C, A)) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) & l3_msualg_1(D, A)) )  =>  (! [E] :  (l4_aofa_a00(E, A, B, C) =>  (v11_aofa_a00(E, A, B, C, D) <=>  (m3_pboole(k13_msafree(A, B), u1_struct_0(A), u4_aofa_a00(A, B, C, E)) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (k9_xtuple_0(k1_msafree4(u1_struct_0(A), u6_aofa_a00(A, B, C, E), F))=k15_aofa_a00(A, B, C, E, F) &  (! [G] :  (m4_aofa_a00(G, A, B, C, E, F) =>  (m2_pboole(k1_funct_1(k1_msafree4(u1_struct_0(A), u6_aofa_a00(A, B, C, E), F), G), u1_struct_0(A), k10_aofa_a00(A, C, F, G), u3_msualg_1(A, C)) &  ( (r2_tarski(G, k1_msafree4(u1_struct_0(A), k13_msafree(A, B), F)) =>  (r8_pboole(u1_struct_0(A), k17_aofa_a00(A, B, C, E, F, G), k2_msualg_3(u1_struct_0(A), k2_aofa_a00(u1_struct_0(A), F, G))) & k16_aofa_a00(A, B, C, E, F, G)=G) )  &  ( (! [H] :  (m2_subset_1(H, k4_autalg_1(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) =>  (k1_funct_1(k1_msafree4(u1_struct_0(A), H, F), k16_aofa_a00(A, B, C, E, F, G))=k1_funct_1(k1_msafree4(u1_struct_0(A), H, F), G) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_msafree4(J, u1_struct_0(A), k13_msafree(A, B), k1_msafree4(u1_struct_0(A), k13_msafree(A, B), I)) =>  (! [K] :  (m1_msafree4(K, u1_struct_0(A), u3_msualg_1(A, C), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, C), I)) =>  ( (r2_tarski(J, k1_msafree4(u1_struct_0(A), k10_aofa_a00(A, C, F, G), I)) & K=k1_funct_1(k2_msafree4(u1_struct_0(A), k10_aofa_a00(A, C, F, G), u3_msualg_1(A, C), k17_aofa_a00(A, B, C, E, F, G), I), J))  => k1_funct_1(k1_msafree4(u1_struct_0(A), H, I), J)=k14_aofa_a00(A, B, C, D, I, K, H)) ) ) ) ) ) ) ) ) )  &  ( ~ (r2_hidden(G, k1_msafree4(u1_struct_0(A), k13_msafree(A, B), F)))  =>  (! [H] :  (m3_pboole(H, u1_struct_0(A), u4_aofa_a00(A, B, C, E)) =>  (r8_pboole(u1_struct_0(A), H, k13_msafree(A, B)) =>  (! [I] :  (m1_subset_1(I, k1_funct_1(u3_msualg_1(A, D), F)) =>  (! [J] :  (m2_pboole(J, u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)) =>  (r2_tarski(J, k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) =>  (! [K] :  (m2_pboole(K, u1_struct_0(A), k13_msafree(A, B), u3_msualg_1(A, D)) =>  ( (! [L] :  (m1_subset_1(L, u1_struct_0(A)) =>  (! [M] :  (m1_msafree4(M, u1_struct_0(A), k13_msafree(A, B), k1_msafree4(u1_struct_0(A), k13_msafree(A, B), L)) =>  (r2_tarski(M, k1_msafree4(u1_struct_0(A), k10_aofa_a00(A, C, F, G), L)) =>  (! [N] :  (m1_subset_1(N, k1_funct_1(u3_msualg_1(A, C), L)) =>  (N=k1_funct_1(k2_msafree4(u1_struct_0(A), k10_aofa_a00(A, C, F, G), u3_msualg_1(A, C), k17_aofa_a00(A, B, C, E, F, G), L), M) => k1_msafree4(k1_msafree4(u1_struct_0(A), k13_msafree(A, B), L), k2_msafree4(u1_struct_0(A), k13_msafree(A, B), u3_msualg_1(A, D), K, L), M)=k14_aofa_a00(A, B, C, D, L, N, k3_aofa_a00(u1_struct_0(A), H, u3_msualg_1(A, D), k1_msafree(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D), H, J), F, k16_aofa_a00(A, B, C, E, F, G), I))) ) ) ) ) ) ) )  =>  (! [L] :  (m3_pboole(L, u1_struct_0(A), u3_msualg_1(A, C)) =>  (r8_pboole(u1_struct_0(A), L, k13_msafree(A, B)) =>  (! [M] :  (m2_pboole(M, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D)) =>  ( (r1_msualg_3(A, C, D, M) & r8_pboole(u1_struct_0(A), k1_msafree(u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D), L, M), K))  => I=k1_msafree4(k1_funct_1(u3_msualg_1(A, C), F), k2_msafree4(u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D), M, F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d26_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) & l1_aofa_a00(C, A)) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) & l3_msualg_1(D, A)) )  =>  (! [E] :  (l4_aofa_a00(E, A, B, C) =>  (v11_aofa_a00(E, A, B, C, D) =>  (! [F] :  (m2_subset_1(F, k4_autalg_1(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, D), G)) =>  (! [I] :  (m4_aofa_a00(I, A, B, C, E, G) =>  (! [J] :  (m2_subset_1(J, k4_autalg_1(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) =>  (J=k18_aofa_a00(A, B, C, D, E, F, G, H, I) <=>  (k1_funct_1(k1_msafree4(u1_struct_0(A), J, G), I)=H &  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  (! [L] :  (m1_msafree4(L, u1_struct_0(A), k13_msafree(A, B), k1_msafree4(u1_struct_0(A), k13_msafree(A, B), K)) =>  ( ~ ( (K=G & L=I) )  =>  ( ( ~ (r2_hidden(L, k1_msafree4(u1_struct_0(A), k10_aofa_a00(A, C, G, I), K)))  => k1_funct_1(k1_msafree4(u1_struct_0(A), J, K), L)=k1_funct_1(k1_msafree4(u1_struct_0(A), F, K), L))  &  (! [M] :  (m2_pboole(M, u1_struct_0(A), k13_msafree(A, B), u3_msualg_1(A, D)) =>  (! [N] :  (m3_pboole(N, u1_struct_0(A), u4_aofa_a00(A, B, C, E)) =>  (r8_pboole(u1_struct_0(A), N, k13_msafree(A, B)) =>  (! [O] :  (m2_pboole(O, u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)) =>  ( (r8_pboole(u1_struct_0(A), O, F) &  (r8_pboole(u1_struct_0(A), M, k3_aofa_a00(u1_struct_0(A), N, u3_msualg_1(A, D), k1_msafree(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D), N, O), G, k16_aofa_a00(A, B, C, E, G, I), H)) & r2_tarski(L, k1_msafree4(u1_struct_0(A), k10_aofa_a00(A, C, G, I), K))) )  =>  (! [P] :  (m1_subset_1(P, k1_funct_1(u3_msualg_1(A, C), K)) =>  (P=k1_funct_1(k2_msafree4(u1_struct_0(A), k10_aofa_a00(A, C, G, I), u3_msualg_1(A, C), k17_aofa_a00(A, B, C, E, G, I), K), L) => k1_funct_1(k1_msafree4(u1_struct_0(A), J, K), L)=k14_aofa_a00(A, B, C, D, K, P, M)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d27_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) & l1_aofa_a00(C, A)) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) & l3_msualg_1(D, A)) )  =>  (! [E] :  (l4_aofa_a00(E, A, B, C) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v2_unialg_1(F) &  (v3_unialg_1(F) &  (v4_unialg_1(F) &  (v3_aofa_000(F) &  (v4_aofa_000(F) &  (v5_aofa_000(F) &  (v6_aofa_000(F) & l3_aofa_a00(F, A, C, u4_aofa_a00(A, B, C, E))) ) ) ) ) ) ) )  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_msafree4(H, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), G)) =>  (! [I] :  (m1_subset_1(I, k1_funct_1(u3_msualg_1(A, D), G)) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(k9_funct_2(k2_zfmisc_1(k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E)), u1_struct_0(F)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))))) =>  (J=k19_aofa_a00(A, B, C, D, E, F, G, H, I) <=>  (! [K] :  ( (v1_funct_1(K) &  (v1_funct_2(K, k2_zfmisc_1(k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E)), u1_struct_0(F)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) & m1_subset_1(K, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E)), u1_struct_0(F)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E)))))) )  =>  (r2_tarski(K, J) <=>  (m1_aofa_000(K, F, k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E)), k13_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E), G, H, I)) &  (! [L] :  (m2_subset_1(L, k4_autalg_1(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) =>  (! [M] :  (m1_subset_1(M, u1_struct_0(A)) =>  (! [N] :  (m1_msafree4(N, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), M)) =>  (! [O] :  (m4_aofa_a00(O, A, B, C, E, M) =>  (O=N =>  (! [P] :  (m1_subset_1(P, k1_funct_1(u3_msualg_1(A, C), M)) => r8_pboole(u1_struct_0(A), k2_binop_1(k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E)), u1_struct_0(F), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E)), K, L, k11_aofa_a00(A, C, u4_aofa_a00(A, B, C, E), F, M, N, P)), k18_aofa_a00(A, B, C, D, E, L, M, k14_aofa_a00(A, B, C, D, M, P, L), O))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d28_aofa_a00, axiom,  (! [A] :  (l5_aofa_a00(A) =>  (v13_aofa_a00(A) <=> v2_funct_1(u7_aofa_a00(A))) ) ) ).
fof(d29_aofa_a00, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (l5_aofa_a00(B) =>  (v14_aofa_a00(B, A) <=> k3_finseq_1(u7_aofa_a00(B))=A) ) ) ) ) ).
fof(d30_aofa_a00, axiom,  (! [A] :  (l6_aofa_a00(A) =>  (v16_aofa_a00(A) <=>  (r1_xxreal_0(3, k3_finseq_1(u7_aofa_a00(A))) &  (r1_aofa_a00(A, k1_funct_1(u7_aofa_a00(A), 1), k1_xboole_0, u8_aofa_a00(A)) &  (r1_aofa_a00(A, k1_funct_1(u7_aofa_a00(A), 2), k9_finseq_1(u8_aofa_a00(A)), u8_aofa_a00(A)) & r1_aofa_a00(A, k1_funct_1(u7_aofa_a00(A), 3), k10_finseq_1(u8_aofa_a00(A), u8_aofa_a00(A)), u8_aofa_a00(A))) ) ) ) ) ) ).
fof(d31_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l6_aofa_a00(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (v17_aofa_a00(B, A) <=>  (k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), u8_aofa_a00(A))=k5_margrel1 &  (k1_funct_1(k5_msualg_1(A, k10_subset_1(k1_funct_1(u7_aofa_a00(A), 1), u4_struct_0(A)), B), k1_xboole_0)=k7_margrel1 &  (! [C] :  (v1_xboolean(C) =>  (! [D] :  (v1_xboolean(D) =>  (k1_funct_1(k5_msualg_1(A, k10_subset_1(k1_funct_1(u7_aofa_a00(A), 2), u4_struct_0(A)), B), k9_finseq_1(C))=k3_xboolean(C) & k1_funct_1(k5_msualg_1(A, k10_subset_1(k1_funct_1(u7_aofa_a00(A), 3), u4_struct_0(A)), B), k10_finseq_1(C, D))=k4_xboolean(C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_aofa_a00, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_2(B, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(B, A), A)))) )  =>  ( (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v2_margrel1(C) &  (v3_margrel1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k13_finseq_1(A), A)))) ) ) )  &  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v2_margrel1(D)) )  =>  (C=D => v8_comput_1(D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t50_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m2_pboole(C, u4_struct_0(A), k3_msafree4(k3_finseq_2(u1_struct_0(A)), u4_struct_0(A), u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), B)), k3_msafree4(u1_struct_0(A), u4_struct_0(A), u2_msualg_1(A), B)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_msafree4(u4_struct_0(A), k3_msafree4(k3_finseq_2(u1_struct_0(A)), u4_struct_0(A), u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), B)), D), k1_msafree4(u4_struct_0(A), k3_msafree4(u1_struct_0(A), u4_struct_0(A), u2_msualg_1(A), B), D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_msafree4(u4_struct_0(A), k3_msafree4(k3_finseq_2(u1_struct_0(A)), u4_struct_0(A), u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), B)), D), k1_msafree4(u4_struct_0(A), k3_msafree4(u1_struct_0(A), u4_struct_0(A), u2_msualg_1(A), B), D))))) )  => m2_pboole(k1_aofa_a00(u4_struct_0(A), C, D, E), u4_struct_0(A), k3_msafree4(k3_finseq_2(u1_struct_0(A)), u4_struct_0(A), u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), B)), k3_msafree4(u1_struct_0(A), u4_struct_0(A), u2_msualg_1(A), B))) ) ) ) ) ) ) ) ) ) ).
fof(t51_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) & l6_aofa_a00(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (? [C] :  ( (v3_msualg_1(C, A) &  (v4_msualg_1(C, A) & l3_msualg_1(C, A)) )  &  (r8_pboole(u1_struct_0(A), u3_msualg_1(A, C), k1_aofa_a00(u1_struct_0(A), B, u8_aofa_a00(A), k5_margrel1)) & v17_aofa_a00(C, A)) ) ) ) ) ) ) ).
fof(d32_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) & l6_aofa_a00(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  => k20_aofa_a00(A, B)=k1_funct_1(k5_msualg_1(A, k10_subset_1(k1_funct_1(u7_aofa_a00(A), 1), u4_struct_0(A)), B), k1_xboole_0)) ) ) ) ).
fof(d33_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) & l6_aofa_a00(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_funct_1(u3_msualg_1(A, B), u8_aofa_a00(A))) => k21_aofa_a00(A, B, C)=k1_funct_1(k5_msualg_1(A, k10_subset_1(k1_funct_1(u7_aofa_a00(A), 2), u4_struct_0(A)), B), k12_finseq_1(k1_funct_1(u3_msualg_1(A, B), u8_aofa_a00(A)), C))) ) ) ) ) ) ).
fof(d34_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) & l6_aofa_a00(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_funct_1(u3_msualg_1(A, B), u8_aofa_a00(A))) =>  (! [D] :  (m1_subset_1(D, k1_funct_1(u3_msualg_1(A, B), u8_aofa_a00(A))) => k22_aofa_a00(A, B, C, D)=k1_funct_1(k5_msualg_1(A, k10_subset_1(k1_funct_1(u7_aofa_a00(A), 3), u4_struct_0(A)), B), k2_finseq_4(k1_funct_1(u3_msualg_1(A, B), u8_aofa_a00(A)), C, D))) ) ) ) ) ) ) ) ).
fof(d35_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) & l6_aofa_a00(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_funct_1(u3_msualg_1(A, B), u8_aofa_a00(A))) =>  (! [D] :  (m1_subset_1(D, k1_funct_1(u3_msualg_1(A, B), u8_aofa_a00(A))) => k23_aofa_a00(A, B, C, D)=k21_aofa_a00(A, B, k22_aofa_a00(A, B, k21_aofa_a00(A, B, C), k21_aofa_a00(A, B, D)))) ) ) ) ) ) ) ) ).
fof(d36_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) & l6_aofa_a00(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_funct_1(u3_msualg_1(A, B), u8_aofa_a00(A))) =>  (! [D] :  (m1_subset_1(D, k1_funct_1(u3_msualg_1(A, B), u8_aofa_a00(A))) => k24_aofa_a00(A, B, C, D)=k21_aofa_a00(A, B, k22_aofa_a00(A, B, C, k21_aofa_a00(A, B, D)))) ) ) ) ) ) ) ) ).
fof(d37_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) & l6_aofa_a00(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_funct_1(u3_msualg_1(A, B), u8_aofa_a00(A))) =>  (! [D] :  (m1_subset_1(D, k1_funct_1(u3_msualg_1(A, B), u8_aofa_a00(A))) => k25_aofa_a00(A, B, C, D)=k23_aofa_a00(A, B, k22_aofa_a00(A, B, C, D), k22_aofa_a00(A, B, k21_aofa_a00(A, B, C), k21_aofa_a00(A, B, D)))) ) ) ) ) ) ) ) ).
fof(d38_aofa_a00, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  (l6_aofa_a00(C) =>  (v18_aofa_a00(C, A, B) <=>  (r1_xxreal_0(k2_xcmplx_0(A, 6), k3_finseq_1(u7_aofa_a00(C))) &  (? [D] :  (m1_subset_1(D, u1_struct_0(C)) &  (D=B &  ( ~ (D=u8_aofa_a00(C))  &  (r1_aofa_a00(C, k1_funct_1(u7_aofa_a00(C), A), k1_xboole_0, D) &  (r1_aofa_a00(C, k1_funct_1(u7_aofa_a00(C), k2_xcmplx_0(A, 1)), k1_xboole_0, D) &  ( ~ (k1_funct_1(u7_aofa_a00(C), A)=k1_funct_1(u7_aofa_a00(C), k2_xcmplx_0(A, 1)))  &  (r1_aofa_a00(C, k1_funct_1(u7_aofa_a00(C), k2_xcmplx_0(A, 2)), k9_finseq_1(D), D) &  (r1_aofa_a00(C, k1_funct_1(u7_aofa_a00(C), k2_xcmplx_0(A, 3)), k10_finseq_1(D, D), D) &  (r1_aofa_a00(C, k1_funct_1(u7_aofa_a00(C), k2_xcmplx_0(A, 4)), k10_finseq_1(D, D), D) &  (r1_aofa_a00(C, k1_funct_1(u7_aofa_a00(C), k2_xcmplx_0(A, 5)), k10_finseq_1(D, D), D) &  ( ~ (k1_funct_1(u7_aofa_a00(C), k2_xcmplx_0(A, 3))=k1_funct_1(u7_aofa_a00(C), k2_xcmplx_0(A, 4)))  &  ( ~ (k1_funct_1(u7_aofa_a00(C), k2_xcmplx_0(A, 3))=k1_funct_1(u7_aofa_a00(C), k2_xcmplx_0(A, 5)))  &  ( ~ (k1_funct_1(u7_aofa_a00(C), k2_xcmplx_0(A, 4))=k1_funct_1(u7_aofa_a00(C), k2_xcmplx_0(A, 5)))  & r1_aofa_a00(C, k1_funct_1(u7_aofa_a00(C), k2_xcmplx_0(A, 6)), k10_finseq_1(D, D), u8_aofa_a00(C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_aofa_a00, axiom,  (? [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v14_aofa_a00(A, 10) &  (v15_aofa_a00(A) & l6_aofa_a00(A)) ) ) )  &  (v13_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v16_aofa_a00(A) &  (u1_struct_0(A)=k2_tarski(k5_numbers, 1) &  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (B=1 & r1_aofa_a00(A, k1_funct_1(u7_aofa_a00(A), 4), k1_xboole_0, B)) ) ) ) ) ) ) ) ) ).
fof(d39_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l6_aofa_a00(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v19_aofa_a00(B, A) <=> B=1) ) ) ) ) ).
fof(t53_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) )  =>  (! [B] :  ( (v19_aofa_a00(B, A) & m1_subset_1(B, u1_struct_0(A)))  =>  ( ~ (B=u8_aofa_a00(A))  &  (r1_aofa_a00(A, k1_funct_1(u7_aofa_a00(A), 4), k1_xboole_0, B) &  (r1_aofa_a00(A, k1_funct_1(u7_aofa_a00(A), k2_xcmplx_0(4, 1)), k1_xboole_0, B) &  ( ~ (k1_funct_1(u7_aofa_a00(A), 4)=k1_funct_1(u7_aofa_a00(A), k2_xcmplx_0(4, 1)))  &  (r1_aofa_a00(A, k1_funct_1(u7_aofa_a00(A), k2_xcmplx_0(4, 2)), k12_finseq_1(u1_struct_0(A), B), B) &  (r1_aofa_a00(A, k1_funct_1(u7_aofa_a00(A), k2_xcmplx_0(4, 3)), k2_finseq_4(u1_struct_0(A), B, B), B) &  (r1_aofa_a00(A, k1_funct_1(u7_aofa_a00(A), k2_xcmplx_0(4, 4)), k2_finseq_4(u1_struct_0(A), B, B), B) &  (r1_aofa_a00(A, k1_funct_1(u7_aofa_a00(A), k2_xcmplx_0(4, 5)), k2_finseq_4(u1_struct_0(A), B, B), B) &  ( ~ (k1_funct_1(u7_aofa_a00(A), k2_xcmplx_0(4, 3))=k1_funct_1(u7_aofa_a00(A), k2_xcmplx_0(4, 4)))  &  ( ~ (k1_funct_1(u7_aofa_a00(A), k2_xcmplx_0(4, 3))=k1_funct_1(u7_aofa_a00(A), k2_xcmplx_0(4, 5)))  &  ( ~ (k1_funct_1(u7_aofa_a00(A), k2_xcmplx_0(4, 4))=k1_funct_1(u7_aofa_a00(A), k2_xcmplx_0(4, 5)))  & r1_aofa_a00(A, k1_funct_1(u7_aofa_a00(A), k2_xcmplx_0(4, 6)), k2_finseq_4(u1_struct_0(A), B, B), u8_aofa_a00(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d40_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v19_aofa_a00(C, A) & m1_subset_1(C, u1_struct_0(A)))  => k26_aofa_a00(A, B, C)=k1_funct_1(k5_msualg_1(A, k10_subset_1(k1_funct_1(u7_aofa_a00(A), 4), u4_struct_0(A)), B), k1_xboole_0)) ) ) ) ) ) ).
fof(d41_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v19_aofa_a00(C, A) & m1_subset_1(C, u1_struct_0(A)))  => k27_aofa_a00(A, B, C)=k1_funct_1(k5_msualg_1(A, k10_subset_1(k1_funct_1(u7_aofa_a00(A), 5), u4_struct_0(A)), B), k1_xboole_0)) ) ) ) ) ) ).
fof(d42_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v19_aofa_a00(C, A) & m1_subset_1(C, u1_struct_0(A)))  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), u3_msualg_1(A, B), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), C)) => k28_aofa_a00(A, B, C, D)=k1_funct_1(k5_msualg_1(A, k10_subset_1(k1_funct_1(u7_aofa_a00(A), 6), u4_struct_0(A)), B), k12_finseq_1(k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), C), D))) ) ) ) ) ) ) ) ).
fof(d43_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v19_aofa_a00(C, A) & m1_subset_1(C, u1_struct_0(A)))  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), u3_msualg_1(A, B), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), C)) =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), u3_msualg_1(A, B), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), C)) => k29_aofa_a00(A, B, C, D, E)=k1_funct_1(k5_msualg_1(A, k10_subset_1(k1_funct_1(u7_aofa_a00(A), 7), u4_struct_0(A)), B), k2_finseq_4(k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), C), D, E))) ) ) ) ) ) ) ) ) ) ).
fof(d44_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v19_aofa_a00(C, A) & m1_subset_1(C, u1_struct_0(A)))  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), u3_msualg_1(A, B), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), C)) =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), u3_msualg_1(A, B), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), C)) => k30_aofa_a00(A, B, C, D, E)=k1_funct_1(k5_msualg_1(A, k10_subset_1(k1_funct_1(u7_aofa_a00(A), 8), u4_struct_0(A)), B), k2_finseq_4(k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), C), D, E))) ) ) ) ) ) ) ) ) ) ).
fof(d45_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v19_aofa_a00(C, A) & m1_subset_1(C, u1_struct_0(A)))  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), u3_msualg_1(A, B), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), C)) =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), u3_msualg_1(A, B), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), C)) => k31_aofa_a00(A, B, C, D, E)=k1_funct_1(k5_msualg_1(A, k10_subset_1(k1_funct_1(u7_aofa_a00(A), 9), u4_struct_0(A)), B), k2_finseq_4(k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), C), D, E))) ) ) ) ) ) ) ) ) ) ).
fof(d46_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v19_aofa_a00(C, A) & m1_subset_1(C, u1_struct_0(A)))  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), u3_msualg_1(A, B), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), C)) =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), u3_msualg_1(A, B), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), C)) => k32_aofa_a00(A, B, C, D, E)=k1_funct_1(k5_msualg_1(A, k10_subset_1(k1_funct_1(u7_aofa_a00(A), 10), u4_struct_0(A)), B), k2_finseq_4(k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), C), D, E))) ) ) ) ) ) ) ) ) ) ).
fof(d47_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v19_aofa_a00(C, A) & m1_subset_1(C, u1_struct_0(A)))  =>  (! [D] :  (m1_subset_1(D, k1_funct_1(u3_msualg_1(A, B), C)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, B), C)) => k33_aofa_a00(A, B, C, D, E)=k29_aofa_a00(A, B, C, D, k28_aofa_a00(A, B, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(d48_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v19_aofa_a00(C, A) & m1_subset_1(C, u1_struct_0(A)))  =>  (! [D] :  (m1_subset_1(D, k1_funct_1(u3_msualg_1(A, B), C)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, B), C)) => k34_aofa_a00(A, B, C, D, E)=k29_aofa_a00(A, B, C, D, k28_aofa_a00(A, B, C, k30_aofa_a00(A, B, C, k31_aofa_a00(A, B, C, D, E), E)))) ) ) ) ) ) ) ) ) ) ).
fof(d49_aofa_a00, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v16_aofa_a00(C) & l6_aofa_a00(C)) ) )  =>  (! [D] :  ( (v17_aofa_a00(D, C) & l3_msualg_1(D, C))  =>  (v20_aofa_a00(D, A, B, C) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(C)) &  (E=B &  (r1_aofa_a00(C, k1_funct_1(u7_aofa_a00(C), A), k1_xboole_0, E) &  (k1_msafree4(u1_struct_0(C), u3_msualg_1(C, D), E)=k4_numbers &  (k1_funct_1(k5_msualg_1(C, k10_subset_1(k1_funct_1(u7_aofa_a00(C), A), u4_struct_0(C)), D), k1_xboole_0)=k5_numbers &  (k1_funct_1(k5_msualg_1(C, k10_subset_1(k1_funct_1(u7_aofa_a00(C), k2_xcmplx_0(A, 1)), u4_struct_0(C)), D), k1_xboole_0)=1 &  (! [F] :  (v1_int_1(F) =>  (! [G] :  (v1_int_1(G) =>  (k1_funct_1(k5_msualg_1(C, k10_subset_1(k1_funct_1(u7_aofa_a00(C), k2_xcmplx_0(A, 2)), u4_struct_0(C)), D), k9_finseq_1(F))=k4_xcmplx_0(F) &  (k1_funct_1(k5_msualg_1(C, k10_subset_1(k1_funct_1(u7_aofa_a00(C), k2_xcmplx_0(A, 3)), u4_struct_0(C)), D), k10_finseq_1(F, G))=k2_xcmplx_0(F, G) &  (k1_funct_1(k5_msualg_1(C, k10_subset_1(k1_funct_1(u7_aofa_a00(C), k2_xcmplx_0(A, 4)), u4_struct_0(C)), D), k10_finseq_1(F, G))=k3_xcmplx_0(F, G) &  ( ( ~ (G=k5_numbers)  => k1_funct_1(k5_msualg_1(C, k10_subset_1(k1_funct_1(u7_aofa_a00(C), k2_xcmplx_0(A, 5)), u4_struct_0(C)), D), k10_finseq_1(F, G))=k4_int_1(F, G))  & k1_funct_1(k5_msualg_1(C, k10_subset_1(k1_funct_1(u7_aofa_a00(C), k2_xcmplx_0(A, 6)), u4_struct_0(C)), D), k10_finseq_1(F, G))=k5_xxreal_0(F, G, k6_margrel1, k7_margrel1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_aofa_a00, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (r1_xxreal_0(1, A) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v16_aofa_a00(C) & l6_aofa_a00(C)) ) )  =>  ~ ( (v18_aofa_a00(C, A, B) &  (! [D] :  ( (v3_msualg_1(D, C) &  (v4_msualg_1(D, C) &  (v17_aofa_a00(D, C) & l3_msualg_1(D, C)) ) )  =>  ~ (v20_aofa_a00(D, A, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v17_aofa_a00(B, A) &  (v20_aofa_a00(B, 4, 1, A) & l3_msualg_1(B, A)) ) )  =>  (! [C] :  ( (v19_aofa_a00(C, A) & m1_subset_1(C, u1_struct_0(A)))  =>  (k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), C)=k4_numbers &  (k26_aofa_a00(A, B, C)=k5_numbers &  (k27_aofa_a00(A, B, C)=1 &  (! [D] :  (v1_int_1(D) =>  (! [E] :  (v1_int_1(E) =>  (! [F] :  (m1_msafree4(F, u1_struct_0(A), u3_msualg_1(A, B), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), C)) =>  (! [G] :  (m1_msafree4(G, u1_struct_0(A), u3_msualg_1(A, B), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), C)) =>  ( (F=D & G=E)  =>  (k28_aofa_a00(A, B, C, F)=k4_xcmplx_0(D) &  (k29_aofa_a00(A, B, C, F, G)=k2_xcmplx_0(D, E) &  (k30_aofa_a00(A, B, C, F, G)=k3_xcmplx_0(D, E) &  ( ( ~ (E=k5_numbers)  => k31_aofa_a00(A, B, C, F, G)=k4_int_1(D, E))  &  (k32_aofa_a00(A, B, C, F, G)=k5_xxreal_0(D, E, k6_margrel1, k7_margrel1) &  ( (k32_aofa_a00(A, B, C, F, G)=k7_margrel1 => r1_xxreal_0(D, E))  &  ( (r1_xxreal_0(D, E) => k32_aofa_a00(A, B, C, F, G)=k7_margrel1)  &  ( ~ ( (k32_aofa_a00(A, B, C, F, G)=k6_margrel1 & r1_xxreal_0(D, E)) )  &  ( ~ (r1_xxreal_0(D, E))  => k32_aofa_a00(A, B, C, F, G)=k6_margrel1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d50_aofa_a00, axiom,  (! [A] :  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (l5_aofa_a00(D) =>  (v21_aofa_a00(D, A, B, C) <=>  (r1_xxreal_0(k2_xcmplx_0(C, 3), k3_finseq_1(u7_aofa_a00(D))) &  (? [E] :  (m1_subset_1(E, u1_struct_0(D)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(D)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(D)) &  (G=A &  (F=B &  ( ~ (E=G)  &  ( ~ (E=F)  &  (r1_aofa_a00(D, k1_funct_1(u7_aofa_a00(D), C), k10_finseq_1(E, F), G) &  (r1_aofa_a00(D, k1_funct_1(u7_aofa_a00(D), k2_xcmplx_0(C, 1)), k11_finseq_1(E, F, G), E) &  (r1_aofa_a00(D, k1_funct_1(u7_aofa_a00(D), k2_xcmplx_0(C, 2)), k9_finseq_1(E), F) & r1_aofa_a00(D, k1_funct_1(u7_aofa_a00(D), k2_xcmplx_0(C, 3)), k10_finseq_1(F, G), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d51_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l5_aofa_a00(A)) )  =>  (! [B] :  (! [C] :  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (l3_msualg_1(E, A) =>  (v22_aofa_a00(E, A, B, C, D) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  (G=B &  (r1_aofa_a00(A, k1_funct_1(u7_aofa_a00(A), D), k10_finseq_1(F, C), G) &  (k1_msafree4(u1_struct_0(A), u3_msualg_1(A, E), F)=k8_afinsq_1(k1_msafree4(u1_struct_0(A), u3_msualg_1(A, E), G)) &  (k1_funct_1(u3_msualg_1(A, E), C)=k4_numbers &  ( (! [H] :  ( (v1_relat_1(H) &  (v5_relat_1(H, k1_msafree4(u1_struct_0(A), u3_msualg_1(A, E), G)) &  (v1_funct_1(H) &  (v1_finset_1(H) &  (v1_exchsort(H) & v2_exchsort(H, k5_numbers)) ) ) ) )  =>  ( (! [I] :  (v1_int_1(I) =>  (r2_hidden(I, k2_afinsq_1(H)) =>  (k1_funct_1(k5_msualg_1(A, k7_partfun1(u4_struct_0(A), u7_aofa_a00(A), D), E), k10_finseq_1(H, I))=k1_funct_1(H, I) &  (! [J] :  (m1_subset_1(J, k1_funct_1(u3_msualg_1(A, E), G)) => k1_funct_1(k5_msualg_1(A, k7_partfun1(u4_struct_0(A), u7_aofa_a00(A), k2_xcmplx_0(D, 1)), E), k11_finseq_1(H, I, J))=k1_funct_7(H, I, J)) ) ) ) ) )  & k1_funct_1(k5_msualg_1(A, k7_partfun1(u4_struct_0(A), u7_aofa_a00(A), k2_xcmplx_0(D, 2)), E), k9_finseq_1(H))=k4_card_1(H)) ) )  &  (! [H] :  (v1_int_1(H) =>  (! [I] :  (m1_subset_1(I, k1_funct_1(u3_msualg_1(A, E), G)) =>  (r1_xxreal_0(k5_numbers, H) => k1_funct_1(k5_msualg_1(A, k7_partfun1(u4_struct_0(A), u7_aofa_a00(A), k2_xcmplx_0(D, 3)), E), k10_finseq_1(H, I))=k7_funcop_1(k6_ordinal1(H), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d52_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_aofa_a00(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l5_aofa_a00(B))  =>  (! [C] :  ( (v15_aofa_a00(C) & l6_aofa_a00(C))  =>  (C=k35_aofa_a00(A, B) <=>  (g1_msualg_1(u1_struct_0(C), u4_struct_0(C), u1_msualg_1(C), u2_msualg_1(C))=k2_circcomb(A, B) &  (u8_aofa_a00(C)=u8_aofa_a00(A) & u7_aofa_a00(C)=k7_finseq_1(u7_aofa_a00(A), u7_aofa_a00(B))) ) ) ) ) ) ) ) ) ).
fof(t56_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_aofa_a00(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l5_aofa_a00(B))  =>  (u1_struct_0(k35_aofa_a00(A, B))=k2_xboole_0(u1_struct_0(A), u1_struct_0(B)) &  (u4_struct_0(k35_aofa_a00(A, B))=k2_xboole_0(u4_struct_0(A), u4_struct_0(B)) &  (u1_msualg_1(k35_aofa_a00(A, B))=k1_funct_4(u1_msualg_1(A), u1_msualg_1(B)) & u2_msualg_1(k35_aofa_a00(A, B))=k1_funct_4(u2_msualg_1(A), u2_msualg_1(B))) ) ) ) ) ) ) ).
fof(t57_aofa_a00, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ~ ( (r2_tarski(D, A) &  (r2_tarski(C, A) &  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v12_aofa_a00(E) &  (v14_aofa_a00(E, 4) & l5_aofa_a00(E)) ) ) )  =>  ~ ( (v21_aofa_a00(E, D, C, 1) &  (v13_aofa_a00(E) &  (r1_tarski(A, u1_struct_0(E)) &  (r1_xboole_0(B, u4_struct_0(E)) &  ~ (r2_hidden(k1_funct_1(u2_msualg_1(E), k1_funct_1(u7_aofa_a00(E), 2)), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_aofa_a00, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v14_aofa_a00(C, A) & l6_aofa_a00(C)) ) )  =>  (! [D] :  (! [E] :  (! [F] :  ( ( ~ (v2_struct_0(F))  &  ( ~ (v11_struct_0(F))  & l5_aofa_a00(F)) )  =>  (v21_aofa_a00(F, D, E, B) => v21_aofa_a00(k35_aofa_a00(C, F), D, E, k2_xcmplx_0(A, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_aofa_a00, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  =>  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  & l6_aofa_a00(C)) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  & l5_aofa_a00(D)) )  =>  ( (v18_aofa_a00(C, A, B) & r1_subset_1(u4_struct_0(C), u4_struct_0(D)))  => v18_aofa_a00(k35_aofa_a00(C, D), A, B)) ) ) ) ) ) ) ) ) ).
fof(t60_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) & l6_aofa_a00(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l5_aofa_a00(B)) )  =>  (r1_subset_1(u4_struct_0(A), u4_struct_0(B)) => v16_aofa_a00(k35_aofa_a00(A, B))) ) ) ) ) ).
fof(d53_aofa_a00, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (l6_aofa_a00(B) =>  (v23_aofa_a00(B, A) <=>  ~ (k1_funct_1(u2_msualg_1(B), k1_funct_1(u7_aofa_a00(B), k2_xcmplx_0(A, 1)))=u8_aofa_a00(B)) ) ) ) ) ) ).
fof(d54_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v21_aofa_a00(A, 1, 1, 11) & l6_aofa_a00(A)) ) )  => k36_aofa_a00(A)=k1_funct_1(u2_msualg_1(A), k1_funct_1(u7_aofa_a00(A), 12))) ) ).
fof(d55_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_msafree4(C, u1_struct_0(A), u3_msualg_1(A, B), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), k36_aofa_a00(A))) =>  (! [D] :  ( (v19_aofa_a00(D, A) & m1_subset_1(D, u1_struct_0(A)))  => k37_aofa_a00(A, B, C, D)=k1_funct_1(k5_msualg_1(A, k10_subset_1(k1_funct_1(u7_aofa_a00(A), 13), u4_struct_0(A)), B), k12_finseq_1(k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), k36_aofa_a00(A)), C))) ) ) ) ) ) ) ) ).
fof(d56_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_msafree4(C, u1_struct_0(A), u3_msualg_1(A, B), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), k36_aofa_a00(A))) =>  (! [D] :  ( (v19_aofa_a00(D, A) & m1_subset_1(D, u1_struct_0(A)))  =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), u3_msualg_1(A, B), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), D)) => k38_aofa_a00(A, B, C, D, E)=k1_funct_1(k5_msualg_1(A, k10_subset_1(k1_funct_1(u7_aofa_a00(A), 11), u4_struct_0(A)), B), k2_finseq_4(k3_card_3(u3_msualg_1(A, B)), C, E))) ) ) ) ) ) ) ) ) ) ).
fof(d57_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_msafree4(C, u1_struct_0(A), u3_msualg_1(A, B), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), k36_aofa_a00(A))) =>  (! [D] :  ( (v19_aofa_a00(D, A) & m1_subset_1(D, u1_struct_0(A)))  =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), u3_msualg_1(A, B), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), D)) =>  (! [F] :  (m1_msafree4(F, u1_struct_0(A), u3_msualg_1(A, B), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), D)) => k39_aofa_a00(A, B, C, D, E, F)=k1_funct_1(k5_msualg_1(A, k10_subset_1(k1_funct_1(u7_aofa_a00(A), 12), u4_struct_0(A)), B), k3_finseq_4(k3_card_3(u3_msualg_1(A, B)), C, E, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d58_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v19_aofa_a00(C, A) & m1_subset_1(C, u1_struct_0(A)))  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), u3_msualg_1(A, B), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), C)) =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), u3_msualg_1(A, B), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), C)) => k40_aofa_a00(A, B, C, D, E)=k1_funct_1(k5_msualg_1(A, k10_subset_1(k1_funct_1(u7_aofa_a00(A), 14), u4_struct_0(A)), B), k2_finseq_4(k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), C), D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t61_aofa_a00, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v21_aofa_a00(C, A, B, 1) & l5_aofa_a00(C)) ) )  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_relat_1(E) &  (v2_relat_1(E) &  (v4_relat_1(E, D) &  (v1_funct_1(E) & v1_partfun1(E, D)) ) ) )  =>  ~ ( ( ~ ( (r2_hidden(k1_funct_1(u2_msualg_1(C), k1_funct_1(u7_aofa_a00(C), 2)), D) &  ~ (k1_funct_1(E, k1_funct_1(u2_msualg_1(C), k1_funct_1(u7_aofa_a00(C), 2)))=k8_afinsq_1(k1_funct_1(E, A))) ) )  &  (k1_funct_1(E, B)=k4_numbers &  (r2_tarski(A, D) &  (! [F] :  ( (v3_msualg_1(F, C) &  (v4_msualg_1(F, C) & l3_msualg_1(F, C)) )  =>  ~ ( (v22_aofa_a00(F, C, A, B, 1) & r1_partfun1(u3_msualg_1(C, F), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d59_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_aofa_a00(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l5_aofa_a00(B))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  ( (v4_msualg_1(D, B) & l3_msualg_1(D, B))  => k41_aofa_a00(A, B, C, D)=k3_circcomb(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t62_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) & l6_aofa_a00(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v17_aofa_a00(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  & l5_aofa_a00(C)) )  =>  (r1_subset_1(u4_struct_0(A), u4_struct_0(C)) =>  (! [D] :  ( (v4_msualg_1(D, C) & l3_msualg_1(D, C))  =>  (r1_partfun1(u3_msualg_1(A, B), u3_msualg_1(C, D)) => v17_aofa_a00(k41_aofa_a00(A, C, B, D), k35_aofa_a00(A, C))) ) ) ) ) ) ) ) ) ) ).
fof(t63_aofa_a00, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (r1_xxreal_0(4, A) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v16_aofa_a00(C) & l6_aofa_a00(C)) ) )  =>  (v18_aofa_a00(C, A, B) =>  (! [D] :  ( (v4_msualg_1(D, C) &  (v17_aofa_a00(D, C) & l3_msualg_1(D, C)) )  =>  (v20_aofa_a00(D, A, B, C) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  & l5_aofa_a00(E)) )  =>  (r1_subset_1(u4_struct_0(C), u4_struct_0(E)) =>  (! [F] :  ( (v4_msualg_1(F, E) & l3_msualg_1(F, E))  =>  (r1_partfun1(u3_msualg_1(C, D), u3_msualg_1(E, F)) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  &  ( ~ (v11_struct_0(G))  &  (v16_aofa_a00(G) & l6_aofa_a00(G)) ) )  =>  (g6_aofa_a00(u1_struct_0(G), u4_struct_0(G), u1_msualg_1(G), u2_msualg_1(G), u8_aofa_a00(G), u7_aofa_a00(G))=k35_aofa_a00(C, E) =>  (! [H] :  ( (v4_msualg_1(H, G) &  (v17_aofa_a00(H, G) & l3_msualg_1(H, G)) )  =>  (H=k41_aofa_a00(C, E, D, F) => v20_aofa_a00(H, A, B, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_aofa_a00, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (! [D] :  ( (r1_xxreal_0(1, A) & r1_xxreal_0(1, B))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v14_aofa_a00(E, B) & l6_aofa_a00(E)) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) & l3_msualg_1(F, E))  =>  (! [G] :  ( ( ~ (v2_struct_0(G))  &  ( ~ (v11_struct_0(G))  & l5_aofa_a00(G)) )  =>  (v21_aofa_a00(G, C, D, A) =>  (! [H] :  ( (v4_msualg_1(H, G) & l3_msualg_1(H, G))  =>  ( (r1_partfun1(u3_msualg_1(E, F), u3_msualg_1(G, H)) & v22_aofa_a00(H, G, C, D, A))  =>  (! [I] :  ( ( ~ (v2_struct_0(I))  &  ( ~ (v11_struct_0(I))  & l6_aofa_a00(I)) )  =>  (g6_aofa_a00(u1_struct_0(I), u4_struct_0(I), u1_msualg_1(I), u2_msualg_1(I), u8_aofa_a00(I), u7_aofa_a00(I))=k35_aofa_a00(E, G) =>  (! [J] :  ( (v4_msualg_1(J, I) & l3_msualg_1(J, I))  =>  (J=k41_aofa_a00(E, G, F, H) => v22_aofa_a00(J, I, C, D, k2_xcmplx_0(B, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_aofa_a00, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  (l6_aofa_a00(C) =>  (! [D] :  (l6_aofa_a00(D) =>  ( (u8_aofa_a00(C)=u8_aofa_a00(D) &  (r1_xxreal_0(3, k3_finseq_1(u7_aofa_a00(D))) &  ( (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, 3))  =>  (k1_funct_1(u1_msualg_1(C), k1_funct_1(u7_aofa_a00(C), E))=k1_funct_1(u1_msualg_1(D), k1_funct_1(u7_aofa_a00(D), E)) & k1_funct_1(u2_msualg_1(C), k1_funct_1(u7_aofa_a00(C), E))=k1_funct_1(u2_msualg_1(D), k1_funct_1(u7_aofa_a00(D), E))) ) ) )  & v16_aofa_a00(C)) ) )  => v16_aofa_a00(D)) ) ) ) ) ) ) ) ).
fof(t66_aofa_a00, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  & l6_aofa_a00(C))  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l6_aofa_a00(D))  =>  ( (r1_xxreal_0(1, A) &  (u8_aofa_a00(C)=u8_aofa_a00(D) &  (r1_xxreal_0(k2_xcmplx_0(A, 6), k3_finseq_1(u7_aofa_a00(D))) &  ( (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(A, E) & r1_xxreal_0(E, k2_xcmplx_0(A, 6)))  =>  (k1_funct_1(u1_msualg_1(C), k1_funct_1(u7_aofa_a00(C), E))=k1_funct_1(u1_msualg_1(D), k1_funct_1(u7_aofa_a00(D), E)) & k1_funct_1(u2_msualg_1(C), k1_funct_1(u7_aofa_a00(C), E))=k1_funct_1(u2_msualg_1(D), k1_funct_1(u7_aofa_a00(D), E))) ) ) )  & v18_aofa_a00(C, A, B)) ) ) )  =>  (k1_funct_1(u7_aofa_a00(D), A)=k1_funct_1(u7_aofa_a00(D), k2_xcmplx_0(A, 1)) |  (k1_funct_1(u7_aofa_a00(D), k2_xcmplx_0(A, 3))=k1_funct_1(u7_aofa_a00(D), k2_xcmplx_0(A, 4)) |  (k1_funct_1(u7_aofa_a00(D), k2_xcmplx_0(A, 3))=k1_funct_1(u7_aofa_a00(D), k2_xcmplx_0(A, 5)) |  (k1_funct_1(u7_aofa_a00(D), k2_xcmplx_0(A, 4))=k1_funct_1(u7_aofa_a00(D), k2_xcmplx_0(A, 5)) | v18_aofa_a00(D, A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_aofa_a00, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (! [D] :  (! [E] :  ( ( ~ (v2_struct_0(E))  & l5_aofa_a00(E))  =>  (! [F] :  ( ( ~ (v2_struct_0(F))  & l5_aofa_a00(F))  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k2_xcmplx_0(A, 3), k3_finseq_1(u7_aofa_a00(E))) &  ( (! [G] :  (v7_ordinal1(G) =>  ( (r1_xxreal_0(A, G) & r1_xxreal_0(G, k2_xcmplx_0(A, 3)))  =>  (k1_funct_1(u1_msualg_1(E), k1_funct_1(u7_aofa_a00(E), G))=k1_funct_1(u1_msualg_1(F), k1_funct_1(u7_aofa_a00(F), k2_xcmplx_0(G, B))) & k1_funct_1(u2_msualg_1(E), k1_funct_1(u7_aofa_a00(E), G))=k1_funct_1(u2_msualg_1(F), k1_funct_1(u7_aofa_a00(F), k2_xcmplx_0(G, B)))) ) ) )  & v21_aofa_a00(F, C, D, k2_xcmplx_0(A, B))) ) )  => v21_aofa_a00(E, C, D, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_aofa_a00, axiom,  (! [A] :  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(4, D) &  (r1_xxreal_0(k2_xcmplx_0(D, 6), E) & r1_xxreal_0(1, C)) )  =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  ( ~ (v11_struct_0(F))  &  (v13_aofa_a00(F) &  (v16_aofa_a00(F) & l6_aofa_a00(F)) ) ) )  =>  ~ ( (v21_aofa_a00(F, A, B, k2_xcmplx_0(E, C)) &  (v18_aofa_a00(F, D, B) &  (! [G] :  ( ( ~ (v2_struct_0(G))  &  ( ~ (v11_struct_0(G))  &  (v16_aofa_a00(G) & l6_aofa_a00(G)) ) )  =>  (! [H] :  ( ( ~ (v2_struct_0(H))  &  ( ~ (v11_struct_0(H))  & l5_aofa_a00(H)) )  =>  ~ ( (g6_aofa_a00(u1_struct_0(F), u4_struct_0(F), u1_msualg_1(F), u2_msualg_1(F), u8_aofa_a00(F), u7_aofa_a00(F))=k35_aofa_a00(G, H) &  (v14_aofa_a00(G, E) &  (v18_aofa_a00(G, D, B) &  (v21_aofa_a00(H, A, B, C) &  (u1_struct_0(G)=u1_struct_0(H) &  (u4_struct_0(G)=k6_subset_1(u4_struct_0(F), k10_xtuple_0(u7_aofa_a00(H))) &  (u4_struct_0(H)=k10_xtuple_0(u7_aofa_a00(H)) &  (u7_aofa_a00(G)=k17_finseq_1(u4_struct_0(F), E, u7_aofa_a00(F)) & u7_aofa_a00(H)=k2_rfinseq(u4_struct_0(F), E, u7_aofa_a00(F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t69_aofa_a00, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v16_aofa_a00(C) & l6_aofa_a00(C)) ) )  =>  (v18_aofa_a00(C, 4, B) =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  ~ ( (r2_tarski(A, u1_struct_0(C)) &  ( ~ (A=B)  &  ( ~ (A=u8_aofa_a00(C))  &  (! [E] :  ( (v4_msualg_1(E, C) &  (v17_aofa_a00(E, C) & l3_msualg_1(E, C)) )  =>  ~ ( (v20_aofa_a00(E, 4, B, C) & k1_funct_1(u3_msualg_1(C, E), A)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_aofa_a00, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s1_aofa_a00) =>  (! [B] :  (m1_subset_1(B, f1_s1_aofa_a00) =>  (! [C] :  (m1_msafree4(C, f1_s1_aofa_a00, f2_s1_aofa_a00, k1_msafree4(f1_s1_aofa_a00, f2_s1_aofa_a00, A)) => m1_subset_1(f4_s1_aofa_a00(A, B, C), k1_zfmisc_1(k1_msafree4(f1_s1_aofa_a00, f3_s1_aofa_a00, B)))) ) ) ) ) )  =>  (? [A] :  (m2_aofa_a00(A, f1_s1_aofa_a00, f1_s1_aofa_a00, f2_s1_aofa_a00, f3_s1_aofa_a00) &  (! [B] :  (m1_subset_1(B, f1_s1_aofa_a00) =>  (! [C] :  (m1_subset_1(C, f1_s1_aofa_a00) =>  (! [D] :  (m1_msafree4(D, f1_s1_aofa_a00, f2_s1_aofa_a00, k1_msafree4(f1_s1_aofa_a00, f2_s1_aofa_a00, B)) => k1_funct_1(k1_funct_1(k1_msafree4(f1_s1_aofa_a00, A, B), D), C)=f4_s1_aofa_a00(B, C, D)) ) ) ) ) ) ) ) ) ).
fof(s2_aofa_a00, axiom,  (? [A] :  ( (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v2_margrel1(A) &  (v3_margrel1(A, f1_s2_aofa_a00) &  (v8_comput_1(A, 1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k13_finseq_1(f1_s2_aofa_a00), f1_s2_aofa_a00)))) ) ) ) )  &  (! [B] :  (m1_subset_1(B, f1_s2_aofa_a00) => k1_funct_1(A, k12_finseq_1(f1_s2_aofa_a00, B))=f2_s2_aofa_a00(B)) ) ) ) ).
fof(s3_aofa_a00, axiom,  (? [A] :  ( (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v2_margrel1(A) &  (v3_margrel1(A, f1_s3_aofa_a00) &  (v8_comput_1(A, 2) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k13_finseq_1(f1_s3_aofa_a00), f1_s3_aofa_a00)))) ) ) ) )  &  (! [B] :  (m1_subset_1(B, f1_s3_aofa_a00) =>  (! [C] :  (m1_subset_1(C, f1_s3_aofa_a00) => k1_funct_1(A, k2_finseq_4(f1_s3_aofa_a00, B, C))=f2_s3_aofa_a00(B, C)) ) ) ) ) ) ).
fof(dt_k1_aofa_a00, axiom,  (! [A, B, C, D] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v1_relat_1(k1_aofa_a00(A, B, C, D)) &  (v4_relat_1(k1_aofa_a00(A, B, C, D), A) &  (v1_funct_1(k1_aofa_a00(A, B, C, D)) & v1_partfun1(k1_aofa_a00(A, B, C, D), A)) ) ) ) ) ).
fof(redefinition_k1_aofa_a00, axiom,  (! [A, B, C, D] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => k1_aofa_a00(A, B, C, D)=k1_funct_7(B, C, D)) ) ).
fof(dt_k2_aofa_a00, axiom,  (! [A, B, C] :  (m1_subset_1(B, A) =>  (v1_relat_1(k2_aofa_a00(A, B, C)) &  (v4_relat_1(k2_aofa_a00(A, B, C), A) &  (v1_funct_1(k2_aofa_a00(A, B, C)) & v1_partfun1(k2_aofa_a00(A, B, C), A)) ) ) ) ) ).
fof(dt_k3_aofa_a00, axiom,  (! [A, B, C, D, E, F, G] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  & m2_pboole(D, A, B, C)) )  => m2_pboole(k3_aofa_a00(A, B, C, D, E, F, G), A, B, C)) ) ).
fof(dt_k4_aofa_a00, axiom,  (! [A, B, C, D, E, F] :  (v1_relat_1(k4_aofa_a00(A, B, C, D, E, F)) &  (v1_funct_1(k4_aofa_a00(A, B, C, D, E, F)) & v1_finseq_1(k4_aofa_a00(A, B, C, D, E, F))) ) ) ).
fof(dt_k5_aofa_a00, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (m1_subset_1(C, A) &  (m1_subset_1(D, A) &  (m1_subset_1(E, A) &  (m1_subset_1(F, A) & m1_subset_1(G, A)) ) ) ) ) )  => m2_finseq_1(k5_aofa_a00(A, B, C, D, E, F, G), A)) ) ).
fof(redefinition_k5_aofa_a00, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (m1_subset_1(C, A) &  (m1_subset_1(D, A) &  (m1_subset_1(E, A) &  (m1_subset_1(F, A) & m1_subset_1(G, A)) ) ) ) ) )  => k5_aofa_a00(A, B, C, D, E, F, G)=k4_aofa_a00(B, C, D, E, F, G)) ) ).
fof(dt_k6_aofa_a00, axiom,  (! [A, B, C, D, E, F, G] :  (v1_relat_1(k6_aofa_a00(A, B, C, D, E, F, G)) &  (v1_funct_1(k6_aofa_a00(A, B, C, D, E, F, G)) & v1_finseq_1(k6_aofa_a00(A, B, C, D, E, F, G))) ) ) ).
fof(dt_k7_aofa_a00, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (m1_subset_1(C, A) &  (m1_subset_1(D, A) &  (m1_subset_1(E, A) &  (m1_subset_1(F, A) &  (m1_subset_1(G, A) & m1_subset_1(H, A)) ) ) ) ) ) )  => m2_finseq_1(k7_aofa_a00(A, B, C, D, E, F, G, H), A)) ) ).
fof(redefinition_k7_aofa_a00, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (m1_subset_1(C, A) &  (m1_subset_1(D, A) &  (m1_subset_1(E, A) &  (m1_subset_1(F, A) &  (m1_subset_1(G, A) & m1_subset_1(H, A)) ) ) ) ) ) )  => k7_aofa_a00(A, B, C, D, E, F, G, H)=k6_aofa_a00(B, C, D, E, F, G, H)) ) ).
fof(dt_k8_aofa_a00, axiom,  (! [A, B, C, D, E, F, G, H] :  (v1_relat_1(k8_aofa_a00(A, B, C, D, E, F, G, H)) &  (v1_funct_1(k8_aofa_a00(A, B, C, D, E, F, G, H)) & v1_finseq_1(k8_aofa_a00(A, B, C, D, E, F, G, H))) ) ) ).
fof(dt_k9_aofa_a00, axiom,  (! [A, B, C, D, E, F, G, H, I] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (m1_subset_1(C, A) &  (m1_subset_1(D, A) &  (m1_subset_1(E, A) &  (m1_subset_1(F, A) &  (m1_subset_1(G, A) &  (m1_subset_1(H, A) & m1_subset_1(I, A)) ) ) ) ) ) ) )  => m2_finseq_1(k9_aofa_a00(A, B, C, D, E, F, G, H, I), A)) ) ).
fof(redefinition_k9_aofa_a00, axiom,  (! [A, B, C, D, E, F, G, H, I] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (m1_subset_1(C, A) &  (m1_subset_1(D, A) &  (m1_subset_1(E, A) &  (m1_subset_1(F, A) &  (m1_subset_1(G, A) &  (m1_subset_1(H, A) & m1_subset_1(I, A)) ) ) ) ) ) ) )  => k9_aofa_a00(A, B, C, D, E, F, G, H, I)=k8_aofa_a00(B, C, D, E, F, G, H, I)) ) ).
fof(dt_m1_aofa_a00, axiom,  (! [A, B, C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  (m1_aofa_a00(D, A, B, C) =>  (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) & v1_funcop_1(D)) ) ) ) ) ) ) ) ).
fof(existence_m1_aofa_a00, axiom,  (! [A, B, C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (? [D] : m1_aofa_a00(D, A, B, C)) ) ) ).
fof(dt_m2_aofa_a00, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  &  (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) & v1_partfun1(D, B)) ) ) )  =>  (! [E] :  (m2_aofa_a00(E, A, B, C, D) => m1_aofa_a00(E, A, B, C)) ) ) ) ).
fof(existence_m2_aofa_a00, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  &  (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) & v1_partfun1(D, B)) ) ) )  =>  (? [E] : m2_aofa_a00(E, A, B, C, D)) ) ) ).
fof(abstractness_v1_aofa_a00, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  & l1_aofa_a00(B, A))  =>  (v1_aofa_a00(B, A) => B=g1_aofa_a00(A, u3_msualg_1(A, B), u4_msualg_1(A, B), u1_aofa_a00(A, B))) ) ) ).
fof(dt_l1_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l1_aofa_a00(B, A) => l3_msualg_1(B, A)) ) ) ) ).
fof(existence_l1_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (? [B] : l1_aofa_a00(B, A)) ) ) ).
fof(dt_g1_aofa_a00, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  &  (m2_pboole(C, u4_struct_0(A), k3_msafree4(k3_finseq_2(u1_struct_0(A)), u4_struct_0(A), u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), B)), k3_msafree4(u1_struct_0(A), u4_struct_0(A), u2_msualg_1(A), B)) & m2_aofa_a00(D, u1_struct_0(A), u1_struct_0(A), B, B)) ) )  =>  (v1_aofa_a00(g1_aofa_a00(A, B, C, D), A) & l1_aofa_a00(g1_aofa_a00(A, B, C, D), A)) ) ) ).
fof(free_g1_aofa_a00, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  &  (m2_pboole(C, u4_struct_0(A), k3_msafree4(k3_finseq_2(u1_struct_0(A)), u4_struct_0(A), u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), B)), k3_msafree4(u1_struct_0(A), u4_struct_0(A), u2_msualg_1(A), B)) & m2_aofa_a00(D, u1_struct_0(A), u1_struct_0(A), B, B)) ) )  =>  (! [E, F, G, H] :  (g1_aofa_a00(A, B, C, D)=g1_aofa_a00(E, F, G, H) =>  (A=E &  (B=F &  (C=G & D=H) ) ) ) ) ) ) ).
fof(dt_u1_aofa_a00, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  & l1_aofa_a00(B, A))  => m2_aofa_a00(u1_aofa_a00(A, B), u1_struct_0(A), u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) ) ).
fof(dt_k10_aofa_a00, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l1_aofa_a00(B, A))  &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, k1_funct_1(u3_msualg_1(A, B), C))) ) )  => m3_pboole(k10_aofa_a00(A, B, C, D), u1_struct_0(A), u3_msualg_1(A, B))) ) ).
fof(dt_f1_s1_aofa_a00, axiom,  ~ (v1_xboole_0(f1_s1_aofa_a00)) ).
fof(dt_f2_s1_aofa_a00, axiom,  (v1_relat_1(f2_s1_aofa_a00) &  (v2_relat_1(f2_s1_aofa_a00) &  (v4_relat_1(f2_s1_aofa_a00, f1_s1_aofa_a00) &  (v1_funct_1(f2_s1_aofa_a00) & v1_partfun1(f2_s1_aofa_a00, f1_s1_aofa_a00)) ) ) ) ).
fof(dt_f3_s1_aofa_a00, axiom,  (v1_relat_1(f3_s1_aofa_a00) &  (v2_relat_1(f3_s1_aofa_a00) &  (v4_relat_1(f3_s1_aofa_a00, f1_s1_aofa_a00) &  (v1_funct_1(f3_s1_aofa_a00) & v1_partfun1(f3_s1_aofa_a00, f1_s1_aofa_a00)) ) ) ) ).
fof(dt_m3_aofa_a00, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m3_aofa_a00(C, A, B) =>  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) ) ) ) ) ).
fof(existence_m3_aofa_a00, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (? [C] : m3_aofa_a00(C, A, B)) ) ) ).
fof(abstractness_v4_aofa_a00, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  & l2_aofa_a00(B, A))  =>  (v4_aofa_a00(B, A) => B=g2_aofa_a00(A, u3_msualg_1(A, B), u4_msualg_1(A, B), u2_aofa_a00(A, B))) ) ) ).
fof(dt_l2_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l2_aofa_a00(B, A) => l3_msualg_1(B, A)) ) ) ) ).
fof(existence_l2_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (? [B] : l2_aofa_a00(B, A)) ) ) ).
fof(dt_g2_aofa_a00, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  &  (m2_pboole(C, u4_struct_0(A), k3_msafree4(k3_finseq_2(u1_struct_0(A)), u4_struct_0(A), u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), B)), k3_msafree4(u1_struct_0(A), u4_struct_0(A), u2_msualg_1(A), B)) & m3_aofa_a00(D, u1_struct_0(A), B)) ) )  =>  (v4_aofa_a00(g2_aofa_a00(A, B, C, D), A) & l2_aofa_a00(g2_aofa_a00(A, B, C, D), A)) ) ) ).
fof(free_g2_aofa_a00, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  &  (m2_pboole(C, u4_struct_0(A), k3_msafree4(k3_finseq_2(u1_struct_0(A)), u4_struct_0(A), u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), B)), k3_msafree4(u1_struct_0(A), u4_struct_0(A), u2_msualg_1(A), B)) & m3_aofa_a00(D, u1_struct_0(A), B)) ) )  =>  (! [E, F, G, H] :  (g2_aofa_a00(A, B, C, D)=g2_aofa_a00(E, F, G, H) =>  (A=E &  (B=F &  (C=G & D=H) ) ) ) ) ) ) ).
fof(dt_u2_aofa_a00, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  & l2_aofa_a00(B, A))  => m3_aofa_a00(u2_aofa_a00(A, B), u1_struct_0(A), u3_msualg_1(A, B))) ) ).
fof(abstractness_v8_aofa_a00, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (l3_msualg_1(B, A) &  (m1_msafree(C, A, B) & l3_aofa_a00(D, A, B, C)) ) )  =>  (v8_aofa_a00(D, A, B, C) => D=g3_aofa_a00(A, B, C, u1_struct_0(D), u1_unialg_1(D), u3_aofa_a00(A, B, C, D))) ) ) ).
fof(dt_l3_aofa_a00, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (l3_msualg_1(B, A) & m1_msafree(C, A, B)) )  =>  (! [D] :  (l3_aofa_a00(D, A, B, C) => l1_unialg_1(D)) ) ) ) ).
fof(existence_l3_aofa_a00, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (l3_msualg_1(B, A) & m1_msafree(C, A, B)) )  =>  (? [D] : l3_aofa_a00(D, A, B, C)) ) ) ).
fof(dt_g3_aofa_a00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (l3_msualg_1(B, A) &  (m1_msafree(C, A, B) &  (m1_finseq_1(E, k4_partfun1(k3_finseq_2(D), D)) &  (v1_funct_1(F) &  (v1_funct_2(F, k3_card_3(k6_pboole(u1_struct_0(A), C, u3_msualg_1(A, B))), D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k3_card_3(k6_pboole(u1_struct_0(A), C, u3_msualg_1(A, B))), D)))) ) ) ) ) )  =>  (v8_aofa_a00(g3_aofa_a00(A, B, C, D, E, F), A, B, C) & l3_aofa_a00(g3_aofa_a00(A, B, C, D, E, F), A, B, C)) ) ) ).
fof(free_g3_aofa_a00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (l3_msualg_1(B, A) &  (m1_msafree(C, A, B) &  (m1_finseq_1(E, k4_partfun1(k3_finseq_2(D), D)) &  (v1_funct_1(F) &  (v1_funct_2(F, k3_card_3(k6_pboole(u1_struct_0(A), C, u3_msualg_1(A, B))), D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k3_card_3(k6_pboole(u1_struct_0(A), C, u3_msualg_1(A, B))), D)))) ) ) ) ) )  =>  (! [G, H, I, J, K, L] :  (g3_aofa_a00(A, B, C, D, E, F)=g3_aofa_a00(G, H, I, J, K, L) =>  (A=G &  (B=H &  (C=I &  (D=J &  (E=K & F=L) ) ) ) ) ) ) ) ) ).
fof(dt_u3_aofa_a00, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (l3_msualg_1(B, A) &  (m1_msafree(C, A, B) & l3_aofa_a00(D, A, B, C)) ) )  =>  (v1_funct_1(u3_aofa_a00(A, B, C, D)) &  (v1_funct_2(u3_aofa_a00(A, B, C, D), k3_card_3(k6_pboole(u1_struct_0(A), C, u3_msualg_1(A, B))), u1_struct_0(D)) & m1_subset_1(u3_aofa_a00(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k3_card_3(k6_pboole(u1_struct_0(A), C, u3_msualg_1(A, B))), u1_struct_0(D))))) ) ) ) ).
fof(dt_k11_aofa_a00, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( (v2_relat_1(C) & m1_msafree(C, A, B))  &  ( ( ~ (v2_struct_0(D))  & l3_aofa_a00(D, A, B, C))  &  (m1_subset_1(E, u1_struct_0(A)) &  (m1_subset_1(F, k1_msafree4(u1_struct_0(A), C, E)) & m1_subset_1(G, k1_funct_1(u3_msualg_1(A, B), E))) ) ) ) ) )  => m1_subset_1(k11_aofa_a00(A, B, C, D, E, F, G), u1_struct_0(D))) ) ).
fof(dt_k12_aofa_a00, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  &  (v2_relat_1(D) & m1_msafree(D, A, B)) ) ) )  => m1_subset_1(k12_aofa_a00(A, B, C, D), k1_zfmisc_1(k4_autalg_1(u1_struct_0(A), D, u3_msualg_1(A, C))))) ) ).
fof(dt_k13_aofa_a00, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  &  ( (v2_relat_1(D) & m1_msafree(D, A, B))  &  (m1_subset_1(E, u1_struct_0(A)) &  (m1_subset_1(F, k1_msafree4(u1_struct_0(A), D, E)) & m1_subset_1(G, k1_funct_1(u3_msualg_1(A, C), E))) ) ) ) ) )  => m1_subset_1(k13_aofa_a00(A, B, C, D, E, F, G), k1_zfmisc_1(k12_aofa_a00(A, B, C, D)))) ) ).
fof(dt_k14_aofa_a00, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) & l3_msualg_1(C, A)) )  &  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) & l3_msualg_1(D, A)) )  &  (m1_subset_1(E, u1_struct_0(A)) &  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, C), E)) &  (v1_relat_1(G) &  (v1_funct_1(G) & v1_funcop_1(G)) ) ) ) ) ) ) )  => m1_subset_1(k14_aofa_a00(A, B, C, D, E, F, G), k1_funct_1(u3_msualg_1(A, D), E))) ) ).
fof(abstractness_v10_aofa_a00, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  & l4_aofa_a00(D, A, B, C)) ) )  =>  (v10_aofa_a00(D, A, B, C) => D=g4_aofa_a00(A, B, C, u4_aofa_a00(A, B, C, D), u5_aofa_a00(A, B, C, D), u6_aofa_a00(A, B, C, D))) ) ) ).
fof(existence_l4_aofa_a00, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) ) ) )  =>  (? [D] : l4_aofa_a00(D, A, B, C)) ) ) ).
fof(dt_g4_aofa_a00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  &  ( (v2_relat_1(D) & m1_msafree(D, A, C))  &  (m2_pboole(E, u1_struct_0(A), D, k13_msafree(A, B)) & m1_aofa_a00(F, u1_struct_0(A), u1_struct_0(A), D)) ) ) ) )  =>  (v10_aofa_a00(g4_aofa_a00(A, B, C, D, E, F), A, B, C) & l4_aofa_a00(g4_aofa_a00(A, B, C, D, E, F), A, B, C)) ) ) ).
fof(free_g4_aofa_a00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  &  ( (v2_relat_1(D) & m1_msafree(D, A, C))  &  (m2_pboole(E, u1_struct_0(A), D, k13_msafree(A, B)) & m1_aofa_a00(F, u1_struct_0(A), u1_struct_0(A), D)) ) ) ) )  =>  (! [G, H, I, J, K, L] :  (g4_aofa_a00(A, B, C, D, E, F)=g4_aofa_a00(G, H, I, J, K, L) =>  (A=G &  (B=H &  (C=I &  (D=J &  (E=K & F=L) ) ) ) ) ) ) ) ) ).
fof(dt_u4_aofa_a00, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  & l4_aofa_a00(D, A, B, C)) ) )  =>  (v2_relat_1(u4_aofa_a00(A, B, C, D)) & m1_msafree(u4_aofa_a00(A, B, C, D), A, C)) ) ) ).
fof(dt_u5_aofa_a00, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  & l4_aofa_a00(D, A, B, C)) ) )  => m2_pboole(u5_aofa_a00(A, B, C, D), u1_struct_0(A), u4_aofa_a00(A, B, C, D), k13_msafree(A, B))) ) ).
fof(dt_u6_aofa_a00, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  & l4_aofa_a00(D, A, B, C)) ) )  => m1_aofa_a00(u6_aofa_a00(A, B, C, D), u1_struct_0(A), u1_struct_0(A), u4_aofa_a00(A, B, C, D))) ) ).
fof(dt_m4_aofa_a00, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  &  (l4_aofa_a00(D, A, B, C) & m1_subset_1(E, u1_struct_0(A))) ) ) )  =>  (! [F] :  (m4_aofa_a00(F, A, B, C, D, E) => m1_subset_1(F, k1_funct_1(u3_msualg_1(A, C), E))) ) ) ) ).
fof(existence_m4_aofa_a00, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  &  (l4_aofa_a00(D, A, B, C) & m1_subset_1(E, u1_struct_0(A))) ) ) )  =>  (? [F] : m4_aofa_a00(F, A, B, C, D, E)) ) ) ).
fof(dt_k15_aofa_a00, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  &  (l4_aofa_a00(D, A, B, C) & m1_subset_1(E, u1_struct_0(A))) ) ) )  => m1_subset_1(k15_aofa_a00(A, B, C, D, E), k10_xtuple_0(u4_aofa_a00(A, B, C, D)))) ) ).
fof(dt_k16_aofa_a00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  &  (l4_aofa_a00(D, A, B, C) &  (m1_subset_1(E, u1_struct_0(A)) & m4_aofa_a00(F, A, B, C, D, E)) ) ) ) )  => m1_msafree4(k16_aofa_a00(A, B, C, D, E, F), u1_struct_0(A), k13_msafree(A, B), k1_msafree4(u1_struct_0(A), k13_msafree(A, B), E))) ) ).
fof(dt_k17_aofa_a00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l1_aofa_a00(C, A)) ) ) )  &  (l4_aofa_a00(D, A, B, C) &  (m1_subset_1(E, u1_struct_0(A)) & m4_aofa_a00(F, A, B, C, D, E)) ) ) ) )  => m2_pboole(k17_aofa_a00(A, B, C, D, E, F), u1_struct_0(A), k10_aofa_a00(A, C, E, F), u3_msualg_1(A, C))) ) ).
fof(dt_k18_aofa_a00, axiom,  (! [A, B, C, D, E, F, G, H, I] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) & l1_aofa_a00(C, A)) ) ) ) )  &  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) & l3_msualg_1(D, A)) )  &  (l4_aofa_a00(E, A, B, C) &  (m1_subset_1(F, k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) &  (m1_subset_1(G, u1_struct_0(A)) &  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, D), G)) & m4_aofa_a00(I, A, B, C, E, G)) ) ) ) ) ) ) )  => m2_subset_1(k18_aofa_a00(A, B, C, D, E, F, G, H, I), k4_autalg_1(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E)))) ) ).
fof(dt_k19_aofa_a00, axiom,  (! [A, B, C, D, E, F, G, H, I] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) & l1_aofa_a00(C, A)) ) ) ) )  &  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) & l3_msualg_1(D, A)) )  &  (l4_aofa_a00(E, A, B, C) &  ( ( ~ (v2_struct_0(F))  &  (v2_unialg_1(F) &  (v3_unialg_1(F) &  (v4_unialg_1(F) &  (v3_aofa_000(F) &  (v4_aofa_000(F) &  (v5_aofa_000(F) &  (v6_aofa_000(F) & l3_aofa_a00(F, A, C, u4_aofa_a00(A, B, C, E))) ) ) ) ) ) ) )  &  (m1_subset_1(G, u1_struct_0(A)) &  (m1_subset_1(H, k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), G)) & m1_subset_1(I, k1_funct_1(u3_msualg_1(A, D), G))) ) ) ) ) ) ) )  => m1_subset_1(k19_aofa_a00(A, B, C, D, E, F, G, H, I), k1_zfmisc_1(k9_funct_2(k2_zfmisc_1(k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E)), u1_struct_0(F)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E)))))) ) ).
fof(abstractness_v12_aofa_a00, axiom,  (! [A] :  (l5_aofa_a00(A) =>  (v12_aofa_a00(A) => A=g5_aofa_a00(u1_struct_0(A), u4_struct_0(A), u1_msualg_1(A), u2_msualg_1(A), u7_aofa_a00(A))) ) ) ).
fof(dt_l5_aofa_a00, axiom,  (! [A] :  (l5_aofa_a00(A) => l1_msualg_1(A)) ) ).
fof(existence_l5_aofa_a00, axiom,  (? [A] : l5_aofa_a00(A)) ).
fof(dt_g5_aofa_a00, axiom,  (! [A, B, C, D, E] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, B, k13_finseq_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k13_finseq_1(A))))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  & m1_finseq_1(E, B)) )  =>  (v12_aofa_a00(g5_aofa_a00(A, B, C, D, E)) & l5_aofa_a00(g5_aofa_a00(A, B, C, D, E))) ) ) ).
fof(free_g5_aofa_a00, axiom,  (! [A, B, C, D, E] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, B, k13_finseq_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k13_finseq_1(A))))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  & m1_finseq_1(E, B)) )  =>  (! [F, G, H, I, J] :  (g5_aofa_a00(A, B, C, D, E)=g5_aofa_a00(F, G, H, I, J) =>  (A=F &  (B=G &  (C=H &  (D=I & E=J) ) ) ) ) ) ) ) ).
fof(dt_u7_aofa_a00, axiom,  (! [A] :  (l5_aofa_a00(A) => m2_finseq_1(u7_aofa_a00(A), u4_struct_0(A))) ) ).
fof(abstractness_v15_aofa_a00, axiom,  (! [A] :  (l6_aofa_a00(A) =>  (v15_aofa_a00(A) => A=g6_aofa_a00(u1_struct_0(A), u4_struct_0(A), u1_msualg_1(A), u2_msualg_1(A), u8_aofa_a00(A), u7_aofa_a00(A))) ) ) ).
fof(dt_l6_aofa_a00, axiom,  (! [A] :  (l6_aofa_a00(A) => l5_aofa_a00(A)) ) ).
fof(existence_l6_aofa_a00, axiom,  (? [A] : l6_aofa_a00(A)) ).
fof(dt_g6_aofa_a00, axiom,  (! [A, B, C, D, E, F] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, B, k13_finseq_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k13_finseq_1(A))))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  (m1_subset_1(E, A) & m1_finseq_1(F, B)) ) )  =>  (v15_aofa_a00(g6_aofa_a00(A, B, C, D, E, F)) & l6_aofa_a00(g6_aofa_a00(A, B, C, D, E, F))) ) ) ).
fof(free_g6_aofa_a00, axiom,  (! [A, B, C, D, E, F] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, B, k13_finseq_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k13_finseq_1(A))))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  (m1_subset_1(E, A) & m1_finseq_1(F, B)) ) )  =>  (! [G, H, I, J, K, L] :  (g6_aofa_a00(A, B, C, D, E, F)=g6_aofa_a00(G, H, I, J, K, L) =>  (A=G &  (B=H &  (C=I &  (D=J &  (E=K & F=L) ) ) ) ) ) ) ) ) ).
fof(dt_u8_aofa_a00, axiom,  (! [A] :  (l6_aofa_a00(A) => m1_subset_1(u8_aofa_a00(A), u1_struct_0(A))) ) ).
fof(dt_f1_s2_aofa_a00, axiom,  ~ (v1_xboole_0(f1_s2_aofa_a00)) ).
fof(dt_f2_s2_aofa_a00, axiom,  (! [A] : m1_subset_1(f2_s2_aofa_a00(A), f1_s2_aofa_a00)) ).
fof(dt_f1_s3_aofa_a00, axiom,  ~ (v1_xboole_0(f1_s3_aofa_a00)) ).
fof(dt_f2_s3_aofa_a00, axiom,  (! [A, B] : m1_subset_1(f2_s3_aofa_a00(A, B), f1_s3_aofa_a00)) ).
fof(dt_k20_aofa_a00, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) & l6_aofa_a00(A)) ) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  => m1_subset_1(k20_aofa_a00(A, B), k1_funct_1(u3_msualg_1(A, B), u8_aofa_a00(A)))) ) ).
fof(dt_k21_aofa_a00, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) & l6_aofa_a00(A)) ) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  & m1_subset_1(C, k1_funct_1(u3_msualg_1(A, B), u8_aofa_a00(A)))) )  => m1_subset_1(k21_aofa_a00(A, B, C), k1_funct_1(u3_msualg_1(A, B), u8_aofa_a00(A)))) ) ).
fof(dt_k22_aofa_a00, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) & l6_aofa_a00(A)) ) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  (m1_subset_1(C, k1_funct_1(u3_msualg_1(A, B), u8_aofa_a00(A))) & m1_subset_1(D, k1_funct_1(u3_msualg_1(A, B), u8_aofa_a00(A)))) ) )  => m1_subset_1(k22_aofa_a00(A, B, C, D), k1_funct_1(u3_msualg_1(A, B), u8_aofa_a00(A)))) ) ).
fof(dt_k23_aofa_a00, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) & l6_aofa_a00(A)) ) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  (m1_subset_1(C, k1_funct_1(u3_msualg_1(A, B), u8_aofa_a00(A))) & m1_subset_1(D, k1_funct_1(u3_msualg_1(A, B), u8_aofa_a00(A)))) ) )  => m1_subset_1(k23_aofa_a00(A, B, C, D), k1_funct_1(u3_msualg_1(A, B), u8_aofa_a00(A)))) ) ).
fof(dt_k24_aofa_a00, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) & l6_aofa_a00(A)) ) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  (m1_subset_1(C, k1_funct_1(u3_msualg_1(A, B), u8_aofa_a00(A))) & m1_subset_1(D, k1_funct_1(u3_msualg_1(A, B), u8_aofa_a00(A)))) ) )  => m1_subset_1(k24_aofa_a00(A, B, C, D), k1_funct_1(u3_msualg_1(A, B), u8_aofa_a00(A)))) ) ).
fof(dt_k25_aofa_a00, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) & l6_aofa_a00(A)) ) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  (m1_subset_1(C, k1_funct_1(u3_msualg_1(A, B), u8_aofa_a00(A))) & m1_subset_1(D, k1_funct_1(u3_msualg_1(A, B), u8_aofa_a00(A)))) ) )  => m1_subset_1(k25_aofa_a00(A, B, C, D), k1_funct_1(u3_msualg_1(A, B), u8_aofa_a00(A)))) ) ).
fof(dt_k26_aofa_a00, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  (v19_aofa_a00(C, A) & m1_subset_1(C, u1_struct_0(A))) ) )  => m1_msafree4(k26_aofa_a00(A, B, C), u1_struct_0(A), u3_msualg_1(A, B), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), C))) ) ).
fof(dt_k27_aofa_a00, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  (v19_aofa_a00(C, A) & m1_subset_1(C, u1_struct_0(A))) ) )  => m1_msafree4(k27_aofa_a00(A, B, C), u1_struct_0(A), u3_msualg_1(A, B), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), C))) ) ).
fof(dt_k28_aofa_a00, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( (v19_aofa_a00(C, A) & m1_subset_1(C, u1_struct_0(A)))  & m1_subset_1(D, k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), C))) ) )  => m1_msafree4(k28_aofa_a00(A, B, C, D), u1_struct_0(A), u3_msualg_1(A, B), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), C))) ) ).
fof(dt_k29_aofa_a00, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( (v19_aofa_a00(C, A) & m1_subset_1(C, u1_struct_0(A)))  &  (m1_subset_1(D, k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), C)) & m1_subset_1(E, k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), C))) ) ) )  => m1_msafree4(k29_aofa_a00(A, B, C, D, E), u1_struct_0(A), u3_msualg_1(A, B), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), C))) ) ).
fof(dt_k30_aofa_a00, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( (v19_aofa_a00(C, A) & m1_subset_1(C, u1_struct_0(A)))  &  (m1_subset_1(D, k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), C)) & m1_subset_1(E, k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), C))) ) ) )  => m1_msafree4(k30_aofa_a00(A, B, C, D, E), u1_struct_0(A), u3_msualg_1(A, B), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), C))) ) ).
fof(dt_k31_aofa_a00, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( (v19_aofa_a00(C, A) & m1_subset_1(C, u1_struct_0(A)))  &  (m1_subset_1(D, k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), C)) & m1_subset_1(E, k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), C))) ) ) )  => m1_msafree4(k31_aofa_a00(A, B, C, D, E), u1_struct_0(A), u3_msualg_1(A, B), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), C))) ) ).
fof(dt_k32_aofa_a00, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( (v19_aofa_a00(C, A) & m1_subset_1(C, u1_struct_0(A)))  &  (m1_subset_1(D, k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), C)) & m1_subset_1(E, k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), C))) ) ) )  => m1_msafree4(k32_aofa_a00(A, B, C, D, E), u1_struct_0(A), u3_msualg_1(A, B), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), u8_aofa_a00(A)))) ) ).
fof(dt_k33_aofa_a00, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( (v19_aofa_a00(C, A) & m1_subset_1(C, u1_struct_0(A)))  &  (m1_subset_1(D, k1_funct_1(u3_msualg_1(A, B), C)) & m1_subset_1(E, k1_funct_1(u3_msualg_1(A, B), C))) ) ) )  => m1_subset_1(k33_aofa_a00(A, B, C, D, E), k1_funct_1(u3_msualg_1(A, B), C))) ) ).
fof(dt_k34_aofa_a00, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( (v19_aofa_a00(C, A) & m1_subset_1(C, u1_struct_0(A)))  &  (m1_subset_1(D, k1_funct_1(u3_msualg_1(A, B), C)) & m1_subset_1(E, k1_funct_1(u3_msualg_1(A, B), C))) ) ) )  => m1_subset_1(k34_aofa_a00(A, B, C, D, E), k1_funct_1(u3_msualg_1(A, B), C))) ) ).
fof(dt_k35_aofa_a00, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_aofa_a00(A))  &  ( ~ (v2_struct_0(B))  & l5_aofa_a00(B)) )  =>  (v15_aofa_a00(k35_aofa_a00(A, B)) & l6_aofa_a00(k35_aofa_a00(A, B))) ) ) ).
fof(dt_k36_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v21_aofa_a00(A, 1, 1, 11) & l6_aofa_a00(A)) ) )  => m1_subset_1(k36_aofa_a00(A), u1_struct_0(A))) ) ).
fof(dt_k37_aofa_a00, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) & l6_aofa_a00(A)) ) ) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  (m1_subset_1(C, k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), k36_aofa_a00(A))) &  (v19_aofa_a00(D, A) & m1_subset_1(D, u1_struct_0(A))) ) ) )  => m1_msafree4(k37_aofa_a00(A, B, C, D), u1_struct_0(A), u3_msualg_1(A, B), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), D))) ) ).
fof(dt_k38_aofa_a00, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) & l6_aofa_a00(A)) ) ) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  (m1_subset_1(C, k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), k36_aofa_a00(A))) &  ( (v19_aofa_a00(D, A) & m1_subset_1(D, u1_struct_0(A)))  & m1_subset_1(E, k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), D))) ) ) )  => m1_msafree4(k38_aofa_a00(A, B, C, D, E), u1_struct_0(A), u3_msualg_1(A, B), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), D))) ) ).
fof(dt_k39_aofa_a00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) & l6_aofa_a00(A)) ) ) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  (m1_subset_1(C, k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), k36_aofa_a00(A))) &  ( (v19_aofa_a00(D, A) & m1_subset_1(D, u1_struct_0(A)))  &  (m1_subset_1(E, k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), D)) & m1_subset_1(F, k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), D))) ) ) ) )  => m1_msafree4(k39_aofa_a00(A, B, C, D, E, F), u1_struct_0(A), u3_msualg_1(A, B), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), k36_aofa_a00(A)))) ) ).
fof(dt_k40_aofa_a00, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) & l6_aofa_a00(A)) ) ) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( (v19_aofa_a00(C, A) & m1_subset_1(C, u1_struct_0(A)))  &  (m1_subset_1(D, k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), C)) & m1_subset_1(E, k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), C))) ) ) )  => m1_msafree4(k40_aofa_a00(A, B, C, D, E), u1_struct_0(A), u3_msualg_1(A, B), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), k36_aofa_a00(A)))) ) ).
fof(dt_k41_aofa_a00, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l6_aofa_a00(A))  &  ( ( ~ (v2_struct_0(B))  & l5_aofa_a00(B))  &  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  &  (v4_msualg_1(D, B) & l3_msualg_1(D, B)) ) ) )  =>  (v3_msualg_1(k41_aofa_a00(A, B, C, D), k35_aofa_a00(A, B)) &  (v4_msualg_1(k41_aofa_a00(A, B, C, D), k35_aofa_a00(A, B)) & l3_msualg_1(k41_aofa_a00(A, B, C, D), k35_aofa_a00(A, B))) ) ) ) ).
fof(d10_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l1_aofa_a00(B, A))  =>  (v2_aofa_a00(B, A) <=>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (r2_tarski(D, k3_msualg_1(A, C, B)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, B), k2_msualg_1(A, C))) =>  (E=k1_funct_1(k5_msualg_1(A, C, B), D) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => r1_tarski(k1_msafree4(u1_struct_0(A), k10_aofa_a00(A, B, k2_msualg_1(A, C), E), F), k3_tarski(a_5_0_aofa_a00(A, B, C, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_aofa_a00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) & l1_aofa_a00(C, A)) )  =>  (v3_aofa_a00(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, C), D)) => k1_msafree4(u1_struct_0(A), k10_aofa_a00(A, C, D, F), E)=a_6_0_aofa_a00(A, B, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_5_0_aofa_a00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  &  ( (v4_msualg_1(C, B) & l1_aofa_a00(C, B))  &  (m1_subset_1(D, u4_struct_0(B)) &  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  & m1_subset_1(F, u1_struct_0(B))) ) ) )  =>  (r2_hidden(A, a_5_0_aofa_a00(B, C, D, E, F)) <=>  (? [G, H] :  ( (m1_subset_1(G, u1_struct_0(B)) & m1_subset_1(H, k1_funct_1(u3_msualg_1(B, C), G)))  &  (A=k1_msafree4(u1_struct_0(B), k10_aofa_a00(B, C, G, H), F) &  (? [I] :  (v7_ordinal1(I) &  (r2_tarski(I, k4_finseq_1(k1_msualg_1(B, D))) &  (G=k1_funct_1(k1_msualg_1(B, D), I) & H=k1_funct_1(E, I)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_6_0_aofa_a00, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) )  &  ( (v4_msualg_1(D, B) &  (v5_msafree4(D, B, C) & l1_aofa_a00(D, B)) )  &  (m1_subset_1(E, u1_struct_0(B)) &  (m1_subset_1(F, u1_struct_0(B)) & m1_subset_1(G, k1_funct_1(u3_msualg_1(B, D), E))) ) ) ) )  =>  (r2_hidden(A, a_6_0_aofa_a00(B, C, D, E, F, G)) <=>  (? [H] :  (m1_trees_1(H, k9_xtuple_0(G)) &  (A=k5_trees_2(G, H) & k2_xtuple_0(k1_funct_1(k5_trees_2(G, H), k1_xboole_0))=F) ) ) ) ) ) ).
fof(rc1_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (? [B] :  (l3_msualg_1(B, A) &  (v4_msualg_1(B, A) & v1_aofa_a01(B, A)) ) ) ) ) ).
fof(rc2_aofa_a01, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  &  (v4_msualg_1(B, A) &  (v1_aofa_a01(B, A) & l3_msualg_1(B, A)) ) )  =>  (? [C] :  (l3_msualg_1(C, A) &  (v4_msualg_1(C, A) &  (v4_msafree4(C, A, B) &  (v9_msafree4(C, A, k5_msafree4(A, B)) & v17_aofa_a00(C, A)) ) ) ) ) ) ) ).
fof(rc3_aofa_a01, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  &  (v4_msualg_1(B, A) &  (v1_aofa_a01(B, A) & l3_msualg_1(B, A)) ) )  =>  (? [C] :  (l3_msualg_1(C, A) &  (v4_msualg_1(C, A) &  (v4_msafree4(C, A, B) &  (v9_msafree4(C, A, k5_msafree4(A, B)) &  (v17_aofa_a00(C, A) & v20_aofa_a00(C, 4, 1, A)) ) ) ) ) ) ) ) ).
fof(cc1_aofa_a01, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) & l6_aofa_a00(A)) ) )  &  (v4_msualg_1(B, A) &  (v17_aofa_a00(B, A) & l3_msualg_1(B, A)) ) )  =>  (! [C] :  (m1_msualg_2(C, A, B) =>  (v4_msualg_1(C, A) =>  (v4_msualg_1(C, A) & v17_aofa_a00(C, A)) ) ) ) ) ) ).
fof(cc2_aofa_a01, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  &  (v4_msualg_1(B, A) &  (v17_aofa_a00(B, A) &  (v20_aofa_a00(B, 4, 1, A) & l3_msualg_1(B, A)) ) ) )  =>  (! [C] :  (m1_msualg_2(C, A, B) =>  (v4_msualg_1(C, A) =>  (v4_msualg_1(C, A) & v20_aofa_a00(C, 4, 1, A)) ) ) ) ) ) ).
fof(fc1_aofa_a01, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (v4_msualg_1(k1_msafree3(A, B), A) & v1_aofa_a01(k1_msafree3(A, B), A)) ) ) ).
fof(rc4_aofa_a01, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (? [C] :  (l1_aofa_a00(C, A) &  (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_msafree1(C, A) & v1_aofa_a01(C, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc2_aofa_a01, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v1_msafree4(B, u1_struct_0(A))) ) ) ) )  &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) ) ) )  =>  (v2_relat_1(k1_aofa_a01(A, B, C)) & v10_msafree4(k1_aofa_a01(A, B, C), A, C, k5_msafree4(A, C))) ) ) ).
fof(fc3_aofa_a01, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) ) )  =>  (v2_relat_1(k1_aofa_a01(A, B, C)) & v2_aofa_a01(k1_aofa_a01(A, B, C), A, B, C)) ) ) ).
fof(rc5_aofa_a01, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) ) )  =>  (? [D] :  (m1_msafree(D, A, C) &  ( ~ (v1_xboole_0(D))  &  (v1_relat_1(D) &  (v2_relat_1(D) &  ( ~ (v3_relat_1(D))  &  (v4_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) &  (v1_partfun1(D, u1_struct_0(A)) & v2_aofa_a01(D, A, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc6_aofa_a01, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) & l3_msualg_1(C, A)) ) )  &  ( (v2_aofa_a01(D, A, B, C) & m1_msafree(D, A, C))  & m1_subset_1(E, u1_struct_0(A))) ) ) )  =>  (? [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(A), D, E)) & v3_aofa_a01(F, A, B, C, D, E)) ) ) ) ).
fof(rc7_aofa_a01, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) ) ) )  =>  (? [D] :  (l4_aofa_a00(D, A, B, C) & v4_aofa_a01(D, A, B, C)) ) ) ) ).
fof(fc4_aofa_a01, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  &  (v4_aofa_a01(D, A, B, C) & l4_aofa_a00(D, A, B, C)) ) ) )  =>  (v2_relat_1(u4_aofa_a00(A, B, C, D)) & v2_aofa_a01(u4_aofa_a00(A, B, C, D), A, B, C)) ) ) ).
fof(fc5_aofa_a01, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  &  ( (v4_aofa_a01(D, A, B, C) & l4_aofa_a00(D, A, B, C))  &  ( (v4_msualg_1(E, A) &  (v4_msafree4(E, A, C) &  (v17_aofa_a00(E, A) &  (v20_aofa_a00(E, 4, 1, A) & l3_msualg_1(E, A)) ) ) )  &  ( (v19_aofa_a00(F, A) & m1_subset_1(F, u1_struct_0(A)))  &  (m1_subset_1(G, k12_aofa_a00(A, C, E, u4_aofa_a00(A, B, C, D))) & m1_subset_1(H, k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, D), F))) ) ) ) ) ) )  => v1_int_1(k1_funct_1(k1_msafree4(u1_struct_0(A), G, F), H))) ) ).
fof(fc6_aofa_a01, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  &  ( (v4_aofa_a01(D, A, B, C) & l4_aofa_a00(D, A, B, C))  &  ( (v4_msualg_1(E, A) &  (v4_msafree4(E, A, C) &  (v17_aofa_a00(E, A) &  (v20_aofa_a00(E, 4, 1, A) & l3_msualg_1(E, A)) ) ) )  &  ( (v19_aofa_a00(F, A) & m1_subset_1(F, u1_struct_0(A)))  &  (m1_subset_1(G, k12_aofa_a00(A, C, E, u4_aofa_a00(A, B, C, D))) & m1_subset_1(H, k1_funct_1(u3_msualg_1(A, C), F))) ) ) ) ) ) )  => v1_int_1(k14_aofa_a00(A, B, C, E, F, H, G))) ) ).
fof(fc7_aofa_a01, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  &  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  &  ( (v19_aofa_a00(E, A) & m1_subset_1(E, u1_struct_0(A)))  &  (m2_pboole(F, u1_struct_0(A), k1_aofa_a01(A, B, C), u3_msualg_1(A, D)) & m1_subset_1(G, k1_funct_1(u3_msualg_1(A, C), E))) ) ) ) ) )  => v1_int_1(k14_aofa_a00(A, B, C, D, E, G, F))) ) ).
fof(fc8_aofa_a01, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  &  ( (v4_aofa_a01(D, A, B, C) & l4_aofa_a00(D, A, B, C))  &  ( (v4_msualg_1(E, A) &  (v4_msafree4(E, A, C) &  (v17_aofa_a00(E, A) &  (v20_aofa_a00(E, 4, 1, A) & l3_msualg_1(E, A)) ) ) )  &  (m1_subset_1(F, k12_aofa_a00(A, C, E, u4_aofa_a00(A, B, C, D))) & m1_subset_1(G, k1_funct_1(u3_msualg_1(A, C), u8_aofa_a00(A)))) ) ) ) ) )  => v1_xboolean(k14_aofa_a00(A, B, C, E, u8_aofa_a00(A), G, F))) ) ).
fof(fc9_aofa_a01, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  &  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  &  (m2_pboole(E, u1_struct_0(A), k1_aofa_a01(A, B, C), u3_msualg_1(A, D)) & m1_subset_1(F, k1_funct_1(u3_msualg_1(A, C), u8_aofa_a00(A)))) ) ) ) )  => v1_xboolean(k14_aofa_a00(A, B, C, D, u8_aofa_a00(A), F, E))) ) ).
fof(fc10_aofa_a01, axiom,  (! [A, B, C, D] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v1_xboolean(C) & v1_xboolean(D)) ) )  => v1_xboolean(k5_xxreal_0(A, B, C, D))) ) ).
fof(rc8_aofa_a01, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  &  (v4_aofa_a01(D, A, B, C) & l4_aofa_a00(D, A, B, C)) ) ) )  =>  (? [E] :  (l3_aofa_a00(E, A, C, u4_aofa_a00(A, B, C, D)) &  ( ~ (v2_struct_0(E))  &  (v2_unialg_1(E) &  (v3_unialg_1(E) &  (v4_unialg_1(E) &  (v3_aofa_000(E) &  (v4_aofa_000(E) &  (v5_aofa_000(E) &  (v6_aofa_000(E) &  ( ~ (v10_aofa_000(E))  &  (v11_aofa_000(E) &  (v12_aofa_000(E) &  (v8_aofa_a00(E, A, C, u4_aofa_a00(A, B, C, D)) & v5_aofa_a01(E, A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc11_aofa_a01, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  &  ( (v4_aofa_a01(D, A, B, C) & l4_aofa_a00(D, A, B, C))  &  ( ( ~ (v2_struct_0(E))  &  (v2_unialg_1(E) &  (v3_unialg_1(E) &  (v4_unialg_1(E) &  (v3_aofa_000(E) &  (v4_aofa_000(E) &  (v5_aofa_000(E) &  (v6_aofa_000(E) &  ( ~ (v10_aofa_000(E))  &  (v11_aofa_000(E) &  (v12_aofa_000(E) &  (v5_aofa_a01(E, A, B, C, D) & l3_aofa_a00(E, A, C, u4_aofa_a00(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(F, u1_struct_0(A)) &  (m1_subset_1(G, k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, D), F)) & m1_subset_1(H, k1_funct_1(u3_msualg_1(A, C), F))) ) ) ) ) ) )  => v15_aofa_000(k11_aofa_a00(A, C, u4_aofa_a00(A, B, C, D), E, F, G, H), E)) ) ).
fof(fc12_aofa_a01, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_finseq_1(B, k8_afinsq_1(A)) & v7_ordinal1(C)) )  =>  (v1_relat_1(k1_funct_1(B, C)) &  (v5_ordinal1(k1_funct_1(B, C)) &  (v1_funct_1(k1_funct_1(B, C)) & v1_finset_1(k1_funct_1(B, C))) ) ) ) ) ).
fof(cc3_aofa_a01, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_finseq_1(B, k8_afinsq_1(A)) => v1_funcop_1(B)) ) ) ) ).
fof(fc13_aofa_a01, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_exchsort(B) & v2_exchsort(B, A)) ) ) ) )  =>  (v1_relat_1(k1_funct_7(B, C, D)) &  (v1_funct_1(k1_funct_7(B, C, D)) &  (v1_finset_1(k1_funct_7(B, C, D)) &  (v1_exchsort(k1_funct_7(B, C, D)) & v2_exchsort(k1_funct_7(B, C, D), A)) ) ) ) ) ) ).
fof(fc14_aofa_a01, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  & m1_subset_1(D, A)) )  =>  (v1_relat_1(k1_funct_7(B, C, D)) &  (v5_relat_1(k1_funct_7(B, C, D), A) & v1_funct_1(k1_funct_7(B, C, D))) ) ) ) ).
fof(fc15_aofa_a01, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_exchsort(A) & v2_exchsort(A, k5_numbers)) ) ) )  =>  (v3_ordinal1(k3_exchsort(A)) & v1_finset_1(k3_exchsort(A))) ) ) ).
fof(cc4_aofa_a01, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  &  (v4_msualg_1(B, A) &  (v17_aofa_a00(B, A) &  (v20_aofa_a00(B, 4, 1, A) &  (v22_aofa_a00(B, A, 1, 1, 11) & l3_msualg_1(B, A)) ) ) ) )  =>  (! [C] :  (m1_msualg_2(C, A, B) =>  (v4_msualg_1(C, A) =>  (v4_msualg_1(C, A) & v22_aofa_a00(C, A, 1, 1, 11)) ) ) ) ) ) ).
fof(fc16_aofa_a01, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (v4_msualg_1(k1_msafree3(A, B), A) & v6_aofa_a01(k1_msafree3(A, B), A)) ) ) ).
fof(cc5_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  ( (v4_msualg_1(B, A) & v6_aofa_a01(B, A))  =>  (v4_msualg_1(B, A) & v1_aofa_a01(B, A)) ) ) ) ) ) ).
fof(rc9_aofa_a01, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (? [C] :  (l1_aofa_a00(C, A) &  (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v1_aofa_a00(C, A) &  (v3_aofa_a00(C, A, B) &  (v1_msafree1(C, A) & v6_aofa_a01(C, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc10_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  =>  (? [B] :  (l3_msualg_1(B, A) &  (v4_msualg_1(B, A) & v6_aofa_a01(B, A)) ) ) ) ) ).
fof(rc11_aofa_a01, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  &  (v4_msualg_1(B, A) &  (v6_aofa_a01(B, A) & l3_msualg_1(B, A)) ) )  =>  (? [C] :  (l3_msualg_1(C, A) &  (v4_msualg_1(C, A) &  (v4_msafree4(C, A, B) &  (v9_msafree4(C, A, k5_msafree4(A, B)) &  (v17_aofa_a00(C, A) &  (v20_aofa_a00(C, 4, 1, A) & v22_aofa_a00(C, A, 1, 1, 11)) ) ) ) ) ) ) ) ) ).
fof(cc6_aofa_a01, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  &  (v4_msualg_1(B, A) &  (v17_aofa_a00(B, A) &  (v22_aofa_a00(B, A, 1, 1, 11) & l3_msualg_1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), k36_aofa_a00(A))) =>  (v1_relat_1(C) & v1_funct_1(C)) ) ) ) ) ).
fof(cc7_aofa_a01, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  &  (v4_msualg_1(B, A) &  (v17_aofa_a00(B, A) &  (v22_aofa_a00(B, A, 1, 1, 11) & l3_msualg_1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), k36_aofa_a00(A))) =>  (v5_ordinal1(C) & v1_finset_1(C)) ) ) ) ) ).
fof(fc17_aofa_a01, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v6_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) ) )  &  ( (v4_aofa_a01(D, A, B, C) & l4_aofa_a00(D, A, B, C))  &  ( (v4_msualg_1(E, A) &  (v4_msafree4(E, A, C) &  (v17_aofa_a00(E, A) &  (v20_aofa_a00(E, 4, 1, A) &  (v22_aofa_a00(E, A, 1, 1, 11) & l3_msualg_1(E, A)) ) ) ) )  &  (m1_subset_1(F, k12_aofa_a00(A, C, E, u4_aofa_a00(A, B, C, D))) &  (v3_aofa_a01(G, A, B, C, u4_aofa_a00(A, B, C, D), k36_aofa_a00(A)) & m1_subset_1(G, k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, D), k36_aofa_a00(A)))) ) ) ) ) ) )  =>  (v1_relat_1(k1_funct_1(k1_msafree4(u1_struct_0(A), F, k36_aofa_a00(A)), G)) & v1_funct_1(k1_funct_1(k1_msafree4(u1_struct_0(A), F, k36_aofa_a00(A)), G))) ) ) ).
fof(fc18_aofa_a01, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v6_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) ) )  &  ( (v4_aofa_a01(D, A, B, C) & l4_aofa_a00(D, A, B, C))  &  ( (v4_msualg_1(E, A) &  (v4_msafree4(E, A, C) &  (v17_aofa_a00(E, A) &  (v20_aofa_a00(E, 4, 1, A) &  (v22_aofa_a00(E, A, 1, 1, 11) & l3_msualg_1(E, A)) ) ) ) )  &  (m1_subset_1(F, k12_aofa_a00(A, C, E, u4_aofa_a00(A, B, C, D))) &  (v3_aofa_a01(G, A, B, C, u4_aofa_a00(A, B, C, D), k36_aofa_a00(A)) & m1_subset_1(G, k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, D), k36_aofa_a00(A)))) ) ) ) ) ) )  =>  (v5_relat_1(k1_funct_1(k1_msafree4(u1_struct_0(A), F, k36_aofa_a00(A)), G), k4_numbers) &  (v5_ordinal1(k1_funct_1(k1_msafree4(u1_struct_0(A), F, k36_aofa_a00(A)), G)) & v1_finset_1(k1_funct_1(k1_msafree4(u1_struct_0(A), F, k36_aofa_a00(A)), G))) ) ) ) ).
fof(fc19_aofa_a01, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v6_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) ) )  &  ( (v4_aofa_a01(D, A, B, C) & l4_aofa_a00(D, A, B, C))  &  ( (v4_msualg_1(E, A) &  (v4_msafree4(E, A, C) &  (v17_aofa_a00(E, A) &  (v20_aofa_a00(E, 4, 1, A) &  (v22_aofa_a00(E, A, 1, 1, 11) & l3_msualg_1(E, A)) ) ) ) )  &  (m1_subset_1(F, k12_aofa_a00(A, C, E, u4_aofa_a00(A, B, C, D))) &  (v3_aofa_a01(G, A, B, C, u4_aofa_a00(A, B, C, D), k36_aofa_a00(A)) & m1_subset_1(G, k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, D), k36_aofa_a00(A)))) ) ) ) ) ) )  =>  (v1_finset_1(k10_xtuple_0(k1_funct_1(k1_msafree4(u1_struct_0(A), F, k36_aofa_a00(A)), G))) & v5_membered(k10_xtuple_0(k1_funct_1(k1_msafree4(u1_struct_0(A), F, k36_aofa_a00(A)), G)))) ) ) ).
fof(fc20_aofa_a01, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_finset_1(k8_afinsq_1(A))) ) ) ).
fof(fc21_aofa_a01, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_msafree1(B, A) & l3_msualg_1(B, A)) )  =>  (v1_relat_1(u3_msualg_1(A, B)) &  (v4_relat_1(u3_msualg_1(A, B), u1_struct_0(A)) &  (v1_funct_1(u3_msualg_1(A, B)) &  (v1_partfun1(u3_msualg_1(A, B), u1_struct_0(A)) & v1_prob_2(u3_msualg_1(A, B))) ) ) ) ) ) ).
fof(fc22_aofa_a01, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (v3_msualg_1(k1_msafree3(A, B), A) &  ~ (v8_aofa_a01(k1_msafree3(A, B), A, B)) ) ) ) ).
fof(rc12_aofa_a01, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (? [C] :  (l3_msualg_1(C, A) &  (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v1_msafree1(C, A) &  ~ (v8_aofa_a01(C, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc23_aofa_a01, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v6_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) ) )  &  ( (v4_aofa_a01(D, A, B, C) & l4_aofa_a00(D, A, B, C))  &  ( (v4_msualg_1(E, A) &  (v4_msafree4(E, A, C) &  (v17_aofa_a00(E, A) &  (v20_aofa_a00(E, 4, 1, A) &  (v22_aofa_a00(E, A, 1, 1, 11) & l3_msualg_1(E, A)) ) ) ) )  &  (m1_subset_1(F, k12_aofa_a00(A, C, E, u4_aofa_a00(A, B, C, D))) &  (v3_aofa_a01(G, A, B, C, u4_aofa_a00(A, B, C, D), u8_aofa_a00(A)) & m1_subset_1(G, k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, D), u8_aofa_a00(A)))) ) ) ) ) ) )  => v1_xboolean(k1_funct_1(k1_msafree4(u1_struct_0(A), F, u8_aofa_a00(A)), G))) ) ).
fof(t1_aofa_a01, axiom,  (k4_nat_d(1, 2)=1 & k4_nat_d(2, 2)=k5_numbers) ).
fof(t2_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m1_msualg_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (r2_tarski(E, k1_msafree4(u1_struct_0(A), u3_msualg_1(A, C), D)) => r2_tarski(E, k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), D))) ) ) ) ) ) ) ) ) ) ).
fof(t3_aofa_a01, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(D, k1_funct_1(k2_aofa_a00(A, E, B), C)) <=>  (C=E & D=B) ) ) ) ) ) ) ) ) ).
fof(t4_aofa_a01, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) =>  (r2_tarski(D, k1_funct_1(k2_pboole(A, k2_aofa_a00(A, F, B), k2_aofa_a00(A, G, E)), C)) <=>  ( (C=F & D=B)  |  (C=G & D=E) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (v1_aofa_a01(B, A) <=>  (? [C] :  ( (v4_msualg_1(C, A) &  (v4_msafree4(C, A, B) & l3_msualg_1(C, A)) )  &  (v17_aofa_a00(C, A) &  (v20_aofa_a00(C, 4, 1, A) & l3_msualg_1(C, A)) ) ) ) ) ) ) ) ) ).
fof(t5_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  => k6_msualg_3(A, B, B, k2_msualg_3(u1_struct_0(A), u3_msualg_1(A, B)))=g3_msualg_1(A, u3_msualg_1(A, B), u4_msualg_1(A, B))) ) ) ) ).
fof(t6_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (v4_msualg_1(B, A) &  (v4_msafree4(B, A, B) & l3_msualg_1(B, A)) ) ) ) ) ) ).
fof(t7_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_aofa_a00(A, C, D, E) =>  ( (v1_funct_1(k5_msualg_1(A, C, B)) &  (v1_funct_2(k5_msualg_1(A, C, B), k1_funct_1(k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, B)), D), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), E)) & m1_subset_1(k5_msualg_1(A, C, B), k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, B)), D), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), E))))) )  &  (k3_msualg_1(A, C, B)=k1_funct_1(k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, B)), D) & k4_msualg_1(A, C, B)=k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (l3_msualg_1(D, A) =>  (! [E] :  ( (v4_msualg_1(E, A) & l3_msualg_1(E, A))  =>  ( (g3_msualg_1(A, u3_msualg_1(A, B), u4_msualg_1(A, B))=g3_msualg_1(A, u3_msualg_1(A, C), u4_msualg_1(A, C)) & g3_msualg_1(A, u3_msualg_1(A, D), u4_msualg_1(A, D))=g3_msualg_1(A, u3_msualg_1(A, E), u4_msualg_1(A, E)))  =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, D)) =>  (! [G] :  (m2_pboole(G, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, E)) =>  ( (r8_pboole(u1_struct_0(A), F, G) & r2_msualg_3(A, B, D, F))  => r2_msualg_3(A, C, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) & l3_msualg_1(C, A)) ) )  => k1_aofa_a01(A, B, C)=k13_msafree(A, B)) ) ) ) ) ) ).
fof(d3_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) & l3_msualg_1(C, A)) ) )  =>  (! [D] :  (m1_msafree(D, A, C) =>  (v2_aofa_a01(D, A, B, C) <=> r2_pboole(u1_struct_0(A), k1_aofa_a01(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(d4_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) & l3_msualg_1(C, A)) ) )  =>  (! [D] :  (m1_msafree(D, A, C) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(A), D, E)) =>  (v3_aofa_a01(F, A, B, C, D, E) <=> r2_tarski(F, k1_msafree4(u1_struct_0(A), k1_aofa_a01(A, B, C), E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) & l3_msualg_1(C, A)) ) )  =>  (! [D] :  ( (v2_aofa_a01(D, A, B, C) & m1_msafree(D, A, C))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  ( (v3_aofa_a01(F, A, B, C, D, E) & m1_subset_1(F, k1_msafree4(u1_struct_0(A), D, E)))  <=> r2_tarski(F, k1_msafree4(u1_struct_0(A), k1_aofa_a01(A, B, C), E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (l4_aofa_a00(D, A, B, C) =>  (v4_aofa_a01(D, A, B, C) <=> v2_aofa_a01(u4_aofa_a00(A, B, C, D), A, B, C)) ) ) ) ) ) ) ) ) ).
fof(d6_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) & l6_aofa_a00(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  => k2_aofa_a01(A, B)=k21_aofa_a00(A, B, k20_aofa_a00(A, B))) ) ) ) ).
fof(t10_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  => k2_aofa_a01(A, D)=k6_margrel1) ) ) ) ) ) ) ) ).
fof(d7_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v2_relat_1(C) & m1_msafree(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, D)) => k4_aofa_a01(A, B, C, D, E)=E) ) ) ) ) ) ) ) ) ) ).
fof(d8_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_aofa_a01(D, A, B, C) & l4_aofa_a00(D, A, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v2_unialg_1(E) &  (v3_unialg_1(E) &  (v4_unialg_1(E) &  (v3_aofa_000(E) &  (v4_aofa_000(E) &  (v5_aofa_000(E) &  (v6_aofa_000(E) &  ( ~ (v10_aofa_000(E))  &  (v11_aofa_000(E) &  (v12_aofa_000(E) & l3_aofa_a00(E, A, C, u4_aofa_a00(A, B, C, D))) ) ) ) ) ) ) ) ) ) )  =>  (! [F] :  ( (v3_aofa_a01(F, A, B, C, u4_aofa_a00(A, B, C, D), u8_aofa_a00(A)) & m1_msafree4(F, u1_struct_0(A), u4_aofa_a00(A, B, C, D), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, D), u8_aofa_a00(A))))  =>  (! [G] :  ( (v19_aofa_a00(G, A) & m1_subset_1(G, u1_struct_0(A)))  =>  (! [H] :  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, C), G)) =>  (! [I] :  (m1_subset_1(I, k1_funct_1(u3_msualg_1(A, C), G)) => k5_aofa_a01(A, B, C, D, E, F, G, H, I)=k11_aofa_a00(A, C, u4_aofa_a00(A, B, C, D), E, u8_aofa_a00(A), F, k32_aofa_a00(A, C, G, H, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_aofa_a01(D, A, B, C) & l4_aofa_a00(D, A, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v2_unialg_1(E) &  (v3_unialg_1(E) &  (v4_unialg_1(E) &  (v3_aofa_000(E) &  (v4_aofa_000(E) &  (v5_aofa_000(E) &  (v6_aofa_000(E) &  ( ~ (v10_aofa_000(E))  &  (v11_aofa_000(E) &  (v12_aofa_000(E) & l3_aofa_a00(E, A, C, u4_aofa_a00(A, B, C, D))) ) ) ) ) ) ) ) ) ) )  =>  (! [F] :  ( (v3_aofa_a01(F, A, B, C, u4_aofa_a00(A, B, C, D), u8_aofa_a00(A)) & m1_msafree4(F, u1_struct_0(A), u4_aofa_a00(A, B, C, D), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, D), u8_aofa_a00(A))))  =>  (! [G] :  ( (v19_aofa_a00(G, A) & m1_subset_1(G, u1_struct_0(A)))  =>  (! [H] :  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, C), G)) =>  (! [I] :  (m1_subset_1(I, k1_funct_1(u3_msualg_1(A, C), G)) => k6_aofa_a01(A, B, C, D, E, F, G, H, I)=k11_aofa_a00(A, C, u4_aofa_a00(A, B, C, D), E, u8_aofa_a00(A), F, k21_aofa_a00(A, C, k32_aofa_a00(A, C, G, H, I)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v19_aofa_a00(D, A) & m1_subset_1(D, u1_struct_0(A)))  => k7_aofa_a01(A, B, C, D)=k29_aofa_a00(A, C, D, k27_aofa_a00(A, C, D), k27_aofa_a00(A, C, D))) ) ) ) ) ) ) ) ).
fof(d11_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_aofa_a01(D, A, B, C) & l4_aofa_a00(D, A, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v2_unialg_1(E) &  (v3_unialg_1(E) &  (v4_unialg_1(E) &  (v3_aofa_000(E) &  (v4_aofa_000(E) &  (v5_aofa_000(E) &  (v6_aofa_000(E) &  ( ~ (v10_aofa_000(E))  &  (v11_aofa_000(E) &  (v12_aofa_000(E) & l3_aofa_a00(E, A, C, u4_aofa_a00(A, B, C, D))) ) ) ) ) ) ) ) ) ) )  =>  (! [F] :  ( (v3_aofa_a01(F, A, B, C, u4_aofa_a00(A, B, C, D), u8_aofa_a00(A)) & m1_msafree4(F, u1_struct_0(A), u4_aofa_a00(A, B, C, D), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, D), u8_aofa_a00(A))))  =>  (! [G] :  ( (v19_aofa_a00(G, A) & m1_subset_1(G, u1_struct_0(A)))  =>  (! [H] :  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, C), G)) => k8_aofa_a01(A, B, C, D, E, F, G, H)=k6_aofa_a01(A, B, C, D, E, F, G, k34_aofa_a00(A, C, G, H, k7_aofa_a01(A, B, C, G)), k26_aofa_a00(A, C, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_aofa_a01(D, A, B, C) & l4_aofa_a00(D, A, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v2_unialg_1(E) &  (v3_unialg_1(E) &  (v4_unialg_1(E) &  (v3_aofa_000(E) &  (v4_aofa_000(E) &  (v5_aofa_000(E) &  (v6_aofa_000(E) &  ( ~ (v10_aofa_000(E))  &  (v11_aofa_000(E) &  (v12_aofa_000(E) & l3_aofa_a00(E, A, C, u4_aofa_a00(A, B, C, D))) ) ) ) ) ) ) ) ) ) )  =>  (! [F] :  ( (v3_aofa_a01(F, A, B, C, u4_aofa_a00(A, B, C, D), u8_aofa_a00(A)) & m1_msafree4(F, u1_struct_0(A), u4_aofa_a00(A, B, C, D), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, D), u8_aofa_a00(A))))  =>  (! [G] :  ( (v19_aofa_a00(G, A) & m1_subset_1(G, u1_struct_0(A)))  =>  (! [H] :  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, C), G)) => k9_aofa_a01(A, B, C, D, E, F, G, H)=k5_aofa_a01(A, B, C, D, E, F, G, k34_aofa_a00(A, C, G, H, k7_aofa_a01(A, B, C, G)), k26_aofa_a00(A, C, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (B=k10_subset_1(k1_funct_1(u7_aofa_a00(A), 1), u4_struct_0(A)) =>  (B=k1_funct_1(u7_aofa_a00(A), 1) &  (k1_msualg_1(A, B)=k1_xboole_0 & k2_msualg_1(A, B)=u8_aofa_a00(A)) ) ) ) ) ) ) ).
fof(t12_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (B=k10_subset_1(k1_funct_1(u7_aofa_a00(A), 2), u4_struct_0(A)) =>  (B=k1_funct_1(u7_aofa_a00(A), 2) &  (k1_msualg_1(A, B)=k12_finseq_1(u1_struct_0(A), u8_aofa_a00(A)) & k2_msualg_1(A, B)=u8_aofa_a00(A)) ) ) ) ) ) ) ).
fof(t13_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (B=k10_subset_1(k1_funct_1(u7_aofa_a00(A), 3), u4_struct_0(A)) =>  (B=k1_funct_1(u7_aofa_a00(A), 3) &  (k1_msualg_1(A, B)=k2_finseq_4(u1_struct_0(A), u8_aofa_a00(A), u8_aofa_a00(A)) & k2_msualg_1(A, B)=u8_aofa_a00(A)) ) ) ) ) ) ) ).
fof(t14_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v19_aofa_a00(B, A) & m1_subset_1(B, u1_struct_0(A)))  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (C=k10_subset_1(k1_funct_1(u7_aofa_a00(A), 4), u4_struct_0(A)) =>  (k1_msualg_1(A, C)=k1_xboole_0 & k2_msualg_1(A, C)=B) ) ) ) ) ) ) ) ).
fof(t15_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v19_aofa_a00(B, A) & m1_subset_1(B, u1_struct_0(A)))  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (C=k10_subset_1(k1_funct_1(u7_aofa_a00(A), 5), u4_struct_0(A)) =>  (k1_msualg_1(A, C)=k1_xboole_0 & k2_msualg_1(A, C)=B) ) ) ) ) ) ) ) ).
fof(t16_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v19_aofa_a00(B, A) & m1_subset_1(B, u1_struct_0(A)))  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (C=k10_subset_1(k1_funct_1(u7_aofa_a00(A), 6), u4_struct_0(A)) =>  (k1_msualg_1(A, C)=k12_finseq_1(u1_struct_0(A), B) & k2_msualg_1(A, C)=B) ) ) ) ) ) ) ) ).
fof(t17_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v19_aofa_a00(B, A) & m1_subset_1(B, u1_struct_0(A)))  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (C=k10_subset_1(k1_funct_1(u7_aofa_a00(A), 7), u4_struct_0(A)) =>  (k1_msualg_1(A, C)=k2_finseq_4(u1_struct_0(A), B, B) & k2_msualg_1(A, C)=B) ) ) ) ) ) ) ) ).
fof(t18_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v19_aofa_a00(B, A) & m1_subset_1(B, u1_struct_0(A)))  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (C=k10_subset_1(k1_funct_1(u7_aofa_a00(A), 8), u4_struct_0(A)) =>  (k1_msualg_1(A, C)=k2_finseq_4(u1_struct_0(A), B, B) & k2_msualg_1(A, C)=B) ) ) ) ) ) ) ) ).
fof(t19_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v19_aofa_a00(B, A) & m1_subset_1(B, u1_struct_0(A)))  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (C=k10_subset_1(k1_funct_1(u7_aofa_a00(A), 9), u4_struct_0(A)) =>  (k1_msualg_1(A, C)=k2_finseq_4(u1_struct_0(A), B, B) & k2_msualg_1(A, C)=B) ) ) ) ) ) ) ) ).
fof(t20_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v19_aofa_a00(B, A) & m1_subset_1(B, u1_struct_0(A)))  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (C=k10_subset_1(k1_funct_1(u7_aofa_a00(A), 10), u4_struct_0(A)) =>  (k1_msualg_1(A, C)=k2_finseq_4(u1_struct_0(A), B, B) & k2_msualg_1(A, C)=u8_aofa_a00(A)) ) ) ) ) ) ) ) ).
fof(t21_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (k1_msualg_1(A, B)=k1_xboole_0 =>  (! [C] :  (l3_msualg_1(C, A) => k3_msualg_1(A, B, C)=k1_tarski(k1_xboole_0)) ) ) ) ) ) ) ).
fof(t22_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (k1_msualg_1(A, C)=k12_finseq_1(u1_struct_0(A), B) =>  (! [D] :  (l3_msualg_1(D, A) => k3_msualg_1(A, C, D)=k4_card_3(k12_finseq_1(k10_xtuple_0(u3_msualg_1(A, D)), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, D), B)))) ) ) ) ) ) ) ) ) ).
fof(t23_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (k1_msualg_1(A, D)=k2_finseq_4(u1_struct_0(A), B, C) =>  (! [E] :  (l3_msualg_1(E, A) => k3_msualg_1(A, D, E)=k4_card_3(k2_finseq_4(k10_xtuple_0(u3_msualg_1(A, E)), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, E), B), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, E), C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (k1_msualg_1(A, E)=k3_finseq_4(u1_struct_0(A), B, C, D) =>  (! [F] :  (l3_msualg_1(F, A) => k3_msualg_1(A, E, F)=k4_card_3(k3_finseq_4(k10_xtuple_0(u3_msualg_1(A, F)), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, F), B), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, F), C), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, F), D)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, B), D)) =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (! [G] :  (m1_subset_1(G, u4_struct_0(A)) =>  (k1_msualg_1(A, G)=k12_finseq_1(u1_struct_0(A), D) =>  (! [H] :  (m1_subset_1(H, k3_msualg_1(A, G, B)) =>  (H=k12_finseq_1(k1_funct_1(u3_msualg_1(A, B), D), E) => k5_msualg_3(A, B, C, G, F, H)=k12_finseq_1(k1_funct_1(u3_msualg_1(A, C), D), k3_funct_2(k1_funct_1(u3_msualg_1(A, B), D), k1_funct_1(u3_msualg_1(A, C), D), k2_msafree4(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C), F, D), E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, B), D)) =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, B), E)) =>  (! [H] :  (m2_pboole(H, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (! [I] :  (m1_subset_1(I, u4_struct_0(A)) =>  (k1_msualg_1(A, I)=k2_finseq_4(u1_struct_0(A), D, E) =>  (! [J] :  (m1_subset_1(J, k3_msualg_1(A, I, B)) =>  (J=k10_finseq_1(F, G) => k5_msualg_3(A, B, C, I, H, J)=k10_finseq_1(k3_funct_2(k1_funct_1(u3_msualg_1(A, B), D), k1_funct_1(u3_msualg_1(A, C), D), k2_msafree4(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C), H, D), F), k3_funct_2(k1_funct_1(u3_msualg_1(A, B), E), k1_funct_1(u3_msualg_1(A, C), E), k2_msafree4(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C), H, E), G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, B), D)) =>  (! [H] :  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, B), E)) =>  (! [I] :  (m1_subset_1(I, k1_funct_1(u3_msualg_1(A, B), F)) =>  (! [J] :  (m2_pboole(J, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (! [K] :  (m1_subset_1(K, u4_struct_0(A)) =>  (k1_msualg_1(A, K)=k3_finseq_4(u1_struct_0(A), D, E, F) =>  (! [L] :  (m1_subset_1(L, k3_msualg_1(A, K, B)) =>  (L=k11_finseq_1(G, H, I) => k5_msualg_3(A, B, C, K, J, L)=k11_finseq_1(k3_funct_2(k1_funct_1(u3_msualg_1(A, B), D), k1_funct_1(u3_msualg_1(A, C), D), k2_msafree4(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C), J, D), G), k3_funct_2(k1_funct_1(u3_msualg_1(A, B), E), k1_funct_1(u3_msualg_1(A, C), E), k2_msafree4(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C), J, E), H), k3_funct_2(k1_funct_1(u3_msualg_1(A, B), F), k1_funct_1(u3_msualg_1(A, C), F), k2_msafree4(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C), J, F), I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D)) =>  (r1_msualg_3(A, C, D, E) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, C), F)) => k14_aofa_a00(A, B, C, D, F, G, k1_msafree(u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D), k1_aofa_a01(A, B, C), E))=k3_funct_2(k1_funct_1(u3_msualg_1(A, C), F), k1_funct_1(u3_msualg_1(A, D), F), k2_msafree4(u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D), E, F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  ( (v4_aofa_a01(E, A, B, C) & l4_aofa_a00(E, A, B, C))  =>  (! [F] :  (m2_subset_1(F, k4_autalg_1(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) =>  (! [G] :  (m2_pboole(G, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D)) =>  ( (r1_msualg_3(A, C, D, G) & r8_pboole(u1_struct_0(A), F, k1_msafree(u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D), u4_aofa_a00(A, B, C, E), G)))  =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, k1_funct_1(u3_msualg_1(A, C), H)) => k14_aofa_a00(A, B, C, D, H, I, F)=k3_funct_2(k1_funct_1(u3_msualg_1(A, C), H), k1_funct_1(u3_msualg_1(A, D), H), k2_msafree4(u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D), G, H), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  ( (v4_aofa_a01(E, A, B, C) & l4_aofa_a00(E, A, B, C))  =>  (! [F] :  (m2_subset_1(F, k4_autalg_1(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) => k14_aofa_a00(A, B, C, D, u8_aofa_a00(A), k20_aofa_a00(A, C), F)=k7_margrel1) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  ( (v4_aofa_a01(E, A, B, C) & l4_aofa_a00(E, A, B, C))  =>  (! [F] :  (m2_subset_1(F, k4_autalg_1(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, C), u8_aofa_a00(A))) => k14_aofa_a00(A, B, C, D, u8_aofa_a00(A), k21_aofa_a00(A, C, G), F)=k21_aofa_a00(A, D, k14_aofa_a00(A, B, C, D, u8_aofa_a00(A), G, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  ( (v4_aofa_a01(E, A, B, C) & l4_aofa_a00(E, A, B, C))  =>  (! [F] :  (m2_subset_1(F, k4_autalg_1(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) =>  (! [G] :  (v1_xboolean(G) =>  (! [H] :  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, C), u8_aofa_a00(A))) =>  (k14_aofa_a00(A, B, C, D, u8_aofa_a00(A), k21_aofa_a00(A, C, H), F)=k3_xboolean(G) <=> k14_aofa_a00(A, B, C, D, u8_aofa_a00(A), H, F)=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, D), u8_aofa_a00(A))) =>  (! [F] :  (v1_xboolean(F) =>  (k21_aofa_a00(A, D, E)=k3_xboolean(F) <=> E=F) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  ( (v4_aofa_a01(E, A, B, C) & l4_aofa_a00(E, A, B, C))  =>  (! [F] :  (m2_subset_1(F, k4_autalg_1(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) => k14_aofa_a00(A, B, C, D, u8_aofa_a00(A), k2_aofa_a01(A, C), F)=k6_margrel1) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  ( (v4_aofa_a01(E, A, B, C) & l4_aofa_a00(E, A, B, C))  =>  (! [F] :  (m2_subset_1(F, k4_autalg_1(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, C), u8_aofa_a00(A))) =>  (! [H] :  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, C), u8_aofa_a00(A))) => k14_aofa_a00(A, B, C, D, u8_aofa_a00(A), k22_aofa_a00(A, C, G, H), F)=k22_aofa_a00(A, D, k14_aofa_a00(A, B, C, D, u8_aofa_a00(A), G, F), k14_aofa_a00(A, B, C, D, u8_aofa_a00(A), H, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  ( (v4_aofa_a01(E, A, B, C) & l4_aofa_a00(E, A, B, C))  =>  (! [F] :  ( (v19_aofa_a00(F, A) & m1_subset_1(F, u1_struct_0(A)))  =>  (! [G] :  (m2_subset_1(G, k4_autalg_1(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) => k14_aofa_a00(A, B, C, D, F, k26_aofa_a00(A, C, F), G)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  ( (v4_aofa_a01(E, A, B, C) & l4_aofa_a00(E, A, B, C))  =>  (! [F] :  ( (v19_aofa_a00(F, A) & m1_subset_1(F, u1_struct_0(A)))  =>  (! [G] :  (m2_subset_1(G, k4_autalg_1(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) => k14_aofa_a00(A, B, C, D, F, k27_aofa_a00(A, C, F), G)=1) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  ( (v4_aofa_a01(E, A, B, C) & l4_aofa_a00(E, A, B, C))  =>  (! [F] :  ( (v19_aofa_a00(F, A) & m1_subset_1(F, u1_struct_0(A)))  =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, C), F)) =>  (! [H] :  (m2_subset_1(H, k4_autalg_1(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) => k14_aofa_a00(A, B, C, D, F, k28_aofa_a00(A, C, F, G), H)=k28_aofa_a00(A, D, F, k14_aofa_a00(A, B, C, D, F, G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  ( (v4_aofa_a01(E, A, B, C) & l4_aofa_a00(E, A, B, C))  =>  (! [F] :  ( (v19_aofa_a00(F, A) & m1_subset_1(F, u1_struct_0(A)))  =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, C), F)) =>  (! [H] :  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, C), F)) =>  (! [I] :  (m2_subset_1(I, k4_autalg_1(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) => k14_aofa_a00(A, B, C, D, F, k29_aofa_a00(A, C, F, G, H), I)=k29_aofa_a00(A, D, F, k14_aofa_a00(A, B, C, D, F, G, I), k14_aofa_a00(A, B, C, D, F, H, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  ( (v4_aofa_a01(E, A, B, C) & l4_aofa_a00(E, A, B, C))  =>  (! [F] :  ( (v19_aofa_a00(F, A) & m1_subset_1(F, u1_struct_0(A)))  =>  (! [G] :  (m2_subset_1(G, k4_autalg_1(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) => k14_aofa_a00(A, B, C, D, F, k7_aofa_a01(A, B, C, F), G)=2) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  ( (v4_aofa_a01(E, A, B, C) & l4_aofa_a00(E, A, B, C))  =>  (! [F] :  ( (v19_aofa_a00(F, A) & m1_subset_1(F, u1_struct_0(A)))  =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, C), F)) =>  (! [H] :  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, C), F)) =>  (! [I] :  (m2_subset_1(I, k4_autalg_1(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) => k14_aofa_a00(A, B, C, D, F, k33_aofa_a00(A, C, F, G, H), I)=k33_aofa_a00(A, D, F, k14_aofa_a00(A, B, C, D, F, G, I), k14_aofa_a00(A, B, C, D, F, H, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  ( (v4_aofa_a01(E, A, B, C) & l4_aofa_a00(E, A, B, C))  =>  (! [F] :  ( (v19_aofa_a00(F, A) & m1_subset_1(F, u1_struct_0(A)))  =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, C), F)) =>  (! [H] :  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, C), F)) =>  (! [I] :  (m2_subset_1(I, k4_autalg_1(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) => k14_aofa_a00(A, B, C, D, F, k30_aofa_a00(A, C, F, G, H), I)=k30_aofa_a00(A, D, F, k14_aofa_a00(A, B, C, D, F, G, I), k14_aofa_a00(A, B, C, D, F, H, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  ( (v4_aofa_a01(E, A, B, C) & l4_aofa_a00(E, A, B, C))  =>  (! [F] :  ( (v19_aofa_a00(F, A) & m1_subset_1(F, u1_struct_0(A)))  =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, C), F)) =>  (! [H] :  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, C), F)) =>  (! [I] :  (m2_subset_1(I, k4_autalg_1(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) => k14_aofa_a00(A, B, C, D, F, k31_aofa_a00(A, C, F, G, H), I)=k31_aofa_a00(A, D, F, k14_aofa_a00(A, B, C, D, F, G, I), k14_aofa_a00(A, B, C, D, F, H, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  ( (v4_aofa_a01(E, A, B, C) & l4_aofa_a00(E, A, B, C))  =>  (! [F] :  ( (v19_aofa_a00(F, A) & m1_subset_1(F, u1_struct_0(A)))  =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, C), F)) =>  (! [H] :  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, C), F)) =>  (! [I] :  (m2_subset_1(I, k4_autalg_1(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) => k14_aofa_a00(A, B, C, D, F, k34_aofa_a00(A, C, F, G, H), I)=k34_aofa_a00(A, D, F, k14_aofa_a00(A, B, C, D, F, G, I), k14_aofa_a00(A, B, C, D, F, H, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  ( (v4_aofa_a01(E, A, B, C) & l4_aofa_a00(E, A, B, C))  =>  (! [F] :  ( (v19_aofa_a00(F, A) & m1_subset_1(F, u1_struct_0(A)))  =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, C), F)) =>  (! [H] :  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, C), F)) =>  (! [I] :  (m2_subset_1(I, k4_autalg_1(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) => k14_aofa_a00(A, B, C, D, u8_aofa_a00(A), k32_aofa_a00(A, C, F, G, H), I)=k32_aofa_a00(A, D, F, k14_aofa_a00(A, B, C, D, F, G, I), k14_aofa_a00(A, B, C, D, F, H, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), k1_aofa_a01(A, B, C), u3_msualg_1(A, D)) => k14_aofa_a00(A, B, C, D, u8_aofa_a00(A), k20_aofa_a00(A, C), E)=k7_margrel1) ) ) ) ) ) ) ) ) ) ).
fof(t47_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), k1_aofa_a01(A, B, C), u3_msualg_1(A, D)) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, C), u8_aofa_a00(A))) => k14_aofa_a00(A, B, C, D, u8_aofa_a00(A), k21_aofa_a00(A, C, F), E)=k21_aofa_a00(A, D, k14_aofa_a00(A, B, C, D, u8_aofa_a00(A), F, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), k1_aofa_a01(A, B, C), u3_msualg_1(A, D)) =>  (! [F] :  (v1_xboolean(F) =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, C), u8_aofa_a00(A))) =>  (k14_aofa_a00(A, B, C, D, u8_aofa_a00(A), k21_aofa_a00(A, C, G), E)=k3_xboolean(F) <=> k14_aofa_a00(A, B, C, D, u8_aofa_a00(A), G, E)=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), k1_aofa_a01(A, B, C), u3_msualg_1(A, D)) => k14_aofa_a00(A, B, C, D, u8_aofa_a00(A), k2_aofa_a01(A, C), E)=k6_margrel1) ) ) ) ) ) ) ) ) ) ).
fof(t50_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), k1_aofa_a01(A, B, C), u3_msualg_1(A, D)) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, C), u8_aofa_a00(A))) =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, C), u8_aofa_a00(A))) => k14_aofa_a00(A, B, C, D, u8_aofa_a00(A), k22_aofa_a00(A, C, F, G), E)=k22_aofa_a00(A, D, k14_aofa_a00(A, B, C, D, u8_aofa_a00(A), F, E), k14_aofa_a00(A, B, C, D, u8_aofa_a00(A), G, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  ( (v19_aofa_a00(E, A) & m1_subset_1(E, u1_struct_0(A)))  =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), k1_aofa_a01(A, B, C), u3_msualg_1(A, D)) => k14_aofa_a00(A, B, C, D, E, k26_aofa_a00(A, C, E), F)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  ( (v19_aofa_a00(E, A) & m1_subset_1(E, u1_struct_0(A)))  =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), k1_aofa_a01(A, B, C), u3_msualg_1(A, D)) => k14_aofa_a00(A, B, C, D, E, k27_aofa_a00(A, C, E), F)=1) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  ( (v19_aofa_a00(E, A) & m1_subset_1(E, u1_struct_0(A)))  =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, C), E)) =>  (! [G] :  (m2_pboole(G, u1_struct_0(A), k1_aofa_a01(A, B, C), u3_msualg_1(A, D)) => k14_aofa_a00(A, B, C, D, E, k28_aofa_a00(A, C, E, F), G)=k28_aofa_a00(A, D, E, k14_aofa_a00(A, B, C, D, E, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  ( (v19_aofa_a00(E, A) & m1_subset_1(E, u1_struct_0(A)))  =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, C), E)) =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, C), E)) =>  (! [H] :  (m2_pboole(H, u1_struct_0(A), k1_aofa_a01(A, B, C), u3_msualg_1(A, D)) => k14_aofa_a00(A, B, C, D, E, k29_aofa_a00(A, C, E, F, G), H)=k29_aofa_a00(A, D, E, k14_aofa_a00(A, B, C, D, E, F, H), k14_aofa_a00(A, B, C, D, E, G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  ( (v19_aofa_a00(E, A) & m1_subset_1(E, u1_struct_0(A)))  =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), k1_aofa_a01(A, B, C), u3_msualg_1(A, D)) => k14_aofa_a00(A, B, C, D, E, k7_aofa_a01(A, B, C, E), F)=2) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  ( (v19_aofa_a00(E, A) & m1_subset_1(E, u1_struct_0(A)))  =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, C), E)) =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, C), E)) =>  (! [H] :  (m2_pboole(H, u1_struct_0(A), k1_aofa_a01(A, B, C), u3_msualg_1(A, D)) => k14_aofa_a00(A, B, C, D, E, k33_aofa_a00(A, C, E, F, G), H)=k33_aofa_a00(A, D, E, k14_aofa_a00(A, B, C, D, E, F, H), k14_aofa_a00(A, B, C, D, E, G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  ( (v19_aofa_a00(E, A) & m1_subset_1(E, u1_struct_0(A)))  =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, C), E)) =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, C), E)) =>  (! [H] :  (m2_pboole(H, u1_struct_0(A), k1_aofa_a01(A, B, C), u3_msualg_1(A, D)) => k14_aofa_a00(A, B, C, D, E, k30_aofa_a00(A, C, E, F, G), H)=k30_aofa_a00(A, D, E, k14_aofa_a00(A, B, C, D, E, F, H), k14_aofa_a00(A, B, C, D, E, G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  ( (v19_aofa_a00(E, A) & m1_subset_1(E, u1_struct_0(A)))  =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, C), E)) =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, C), E)) =>  (! [H] :  (m2_pboole(H, u1_struct_0(A), k1_aofa_a01(A, B, C), u3_msualg_1(A, D)) => k14_aofa_a00(A, B, C, D, E, k31_aofa_a00(A, C, E, F, G), H)=k31_aofa_a00(A, D, E, k14_aofa_a00(A, B, C, D, E, F, H), k14_aofa_a00(A, B, C, D, E, G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  ( (v19_aofa_a00(E, A) & m1_subset_1(E, u1_struct_0(A)))  =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, C), E)) =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, C), E)) =>  (! [H] :  (m2_pboole(H, u1_struct_0(A), k1_aofa_a01(A, B, C), u3_msualg_1(A, D)) => k14_aofa_a00(A, B, C, D, E, k34_aofa_a00(A, C, E, F, G), H)=k34_aofa_a00(A, D, E, k14_aofa_a00(A, B, C, D, E, F, H), k14_aofa_a00(A, B, C, D, E, G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  ( (v19_aofa_a00(E, A) & m1_subset_1(E, u1_struct_0(A)))  =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, C), E)) =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, C), E)) =>  (! [H] :  (m2_pboole(H, u1_struct_0(A), k1_aofa_a01(A, B, C), u3_msualg_1(A, D)) => k14_aofa_a00(A, B, C, D, u8_aofa_a00(A), k32_aofa_a00(A, C, E, F, G), H)=k32_aofa_a00(A, D, E, k14_aofa_a00(A, B, C, D, E, F, H), k14_aofa_a00(A, B, C, D, E, G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  ( (v4_aofa_a01(E, A, B, C) & l4_aofa_a00(E, A, B, C))  =>  (! [F] :  (m2_subset_1(F, k4_autalg_1(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_msafree4(H, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), G)) => k14_aofa_a00(A, B, C, D, G, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), G, H), F)=k1_funct_1(k1_msafree4(u1_struct_0(A), F, G), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  ( (v4_aofa_a01(E, A, B, C) & l4_aofa_a00(E, A, B, C))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  ( (v3_aofa_a01(G, A, B, C, u4_aofa_a00(A, B, C, E), F) & m1_msafree4(G, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), F)))  =>  (! [H] :  (m2_pboole(H, u1_struct_0(A), k1_aofa_a01(A, B, C), u3_msualg_1(A, D)) => k14_aofa_a00(A, B, C, D, F, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, G), H)=k1_funct_1(k2_msafree4(u1_struct_0(A), k1_aofa_a01(A, B, C), u3_msualg_1(A, D), H, F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  ( (v19_aofa_a00(E, A) & m1_subset_1(E, u1_struct_0(A)))  =>  (! [F] :  (v1_int_1(F) =>  (! [G] :  (v1_int_1(G) =>  (! [H] :  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, D), E)) =>  (! [I] :  (m1_subset_1(I, k1_funct_1(u3_msualg_1(A, D), E)) =>  ( (H=F & I=G)  => k33_aofa_a00(A, D, E, H, I)=k6_xcmplx_0(F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  ( (v19_aofa_a00(E, A) & m1_subset_1(E, u1_struct_0(A)))  =>  (! [F] :  (v1_int_1(F) =>  (! [G] :  (v1_int_1(G) =>  (! [H] :  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, D), E)) =>  (! [I] :  (m1_subset_1(I, k1_funct_1(u3_msualg_1(A, D), E)) =>  ( (H=F & I=G)  =>  (G=k5_numbers | k34_aofa_a00(A, D, E, H, I)=k5_int_1(F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  ( (v4_aofa_a01(E, A, B, C) & l4_aofa_a00(E, A, B, C))  =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v2_unialg_1(F) &  (v3_unialg_1(F) &  (v4_unialg_1(F) &  (v3_aofa_000(F) &  (v4_aofa_000(F) &  (v5_aofa_000(F) &  (v6_aofa_000(F) &  ( ~ (v10_aofa_000(F))  &  (v11_aofa_000(F) &  (v12_aofa_000(F) & l3_aofa_a00(F, A, C, u4_aofa_a00(A, B, C, E))) ) ) ) ) ) ) ) ) ) )  =>  (! [G] :  ( (v3_aofa_a01(G, A, B, C, u4_aofa_a00(A, B, C, E), u8_aofa_a00(A)) & m1_msafree4(G, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u8_aofa_a00(A))))  =>  (! [H] :  (m2_subset_1(H, k4_autalg_1(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) =>  (! [I] :  (m1_aofa_000(I, F, k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E)), k13_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E), u8_aofa_a00(A), G, k2_aofa_a01(A, D))) =>  ( (v11_aofa_a00(E, A, B, C, D) & r2_tarski(I, k19_aofa_a00(A, B, C, D, E, F, u8_aofa_a00(A), G, k2_aofa_a01(A, D))))  =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  ( (v3_aofa_a01(K, A, B, C, u4_aofa_a00(A, B, C, E), J) & m1_msafree4(K, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), J)))  =>  (! [L] :  (m1_subset_1(L, k1_funct_1(u3_msualg_1(A, C), J)) =>  (k1_funct_1(k1_msafree4(u1_struct_0(A), k3_aofa_a01(A, B, C, E, G, D, F, I, H, k11_aofa_a00(A, C, u4_aofa_a00(A, B, C, E), F, J, K, L)), J), K)=k14_aofa_a00(A, B, C, D, J, L, H) &  ( (! [M] :  ( (v3_aofa_a01(M, A, B, C, u4_aofa_a00(A, B, C, E), J) & m1_msafree4(M, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), J)))  =>  ( ~ (M=K)  => k1_funct_1(k1_msafree4(u1_struct_0(A), k3_aofa_a01(A, B, C, E, G, D, F, I, H, k11_aofa_a00(A, C, u4_aofa_a00(A, B, C, E), F, J, K, L)), J), M)=k1_funct_1(k1_msafree4(u1_struct_0(A), H, J), M)) ) )  &  (! [M] :  (m1_subset_1(M, u1_struct_0(A)) =>  ( ~ (J=M)  =>  (! [N] :  ( (v3_aofa_a01(N, A, B, C, u4_aofa_a00(A, B, C, E), M) & m1_msafree4(N, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), M)))  => k1_funct_1(k1_msafree4(u1_struct_0(A), k3_aofa_a01(A, B, C, E, G, D, F, I, H, k11_aofa_a00(A, C, u4_aofa_a00(A, B, C, E), F, J, K, L)), M), N)=k1_funct_1(k1_msafree4(u1_struct_0(A), H, M), N)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  ( (v4_aofa_a01(E, A, B, C) & l4_aofa_a00(E, A, B, C))  =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v2_unialg_1(F) &  (v3_unialg_1(F) &  (v4_unialg_1(F) &  (v3_aofa_000(F) &  (v4_aofa_000(F) &  (v5_aofa_000(F) &  (v6_aofa_000(F) &  ( ~ (v10_aofa_000(F))  &  (v11_aofa_000(F) &  (v12_aofa_000(F) & l3_aofa_a00(F, A, C, u4_aofa_a00(A, B, C, E))) ) ) ) ) ) ) ) ) ) )  =>  (! [G] :  ( (v19_aofa_a00(G, A) & m1_subset_1(G, u1_struct_0(A)))  =>  (! [H] :  ( (v3_aofa_a01(H, A, B, C, u4_aofa_a00(A, B, C, E), u8_aofa_a00(A)) & m1_msafree4(H, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u8_aofa_a00(A))))  =>  (! [I] :  (m1_subset_1(I, k1_funct_1(u3_msualg_1(A, C), G)) =>  (! [J] :  (m1_subset_1(J, k1_funct_1(u3_msualg_1(A, C), G)) =>  (! [K] :  (m2_subset_1(K, k4_autalg_1(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) =>  (! [L] :  (m1_aofa_000(L, F, k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E)), k13_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E), u8_aofa_a00(A), H, k2_aofa_a01(A, D))) =>  ( (v11_aofa_a00(E, A, B, C, D) & r2_tarski(L, k19_aofa_a00(A, B, C, D, E, F, u8_aofa_a00(A), H, k2_aofa_a01(A, D))))  =>  ( ( ~ (r1_xxreal_0(k14_aofa_a00(A, B, C, D, G, J, K), k14_aofa_a00(A, B, C, D, G, I, K)))  => r2_tarski(k3_aofa_a01(A, B, C, E, H, D, F, L, K, k6_aofa_a01(A, B, C, E, F, H, G, J, I)), k13_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E), u8_aofa_a00(A), H, k2_aofa_a01(A, D))))  &  ( ~ ( (r2_tarski(k3_aofa_a01(A, B, C, E, H, D, F, L, K, k6_aofa_a01(A, B, C, E, F, H, G, J, I)), k13_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E), u8_aofa_a00(A), H, k2_aofa_a01(A, D))) & r1_xxreal_0(k14_aofa_a00(A, B, C, D, G, J, K), k14_aofa_a00(A, B, C, D, G, I, K))) )  &  ( (r1_xxreal_0(k14_aofa_a00(A, B, C, D, G, I, K), k14_aofa_a00(A, B, C, D, G, J, K)) => r2_tarski(k3_aofa_a01(A, B, C, E, H, D, F, L, K, k5_aofa_a01(A, B, C, E, F, H, G, I, J)), k13_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E), u8_aofa_a00(A), H, k2_aofa_a01(A, D))))  &  ( (r2_tarski(k3_aofa_a01(A, B, C, E, H, D, F, L, K, k5_aofa_a01(A, B, C, E, F, H, G, I, J)), k13_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E), u8_aofa_a00(A), H, k2_aofa_a01(A, D))) => r1_xxreal_0(k14_aofa_a00(A, B, C, D, G, I, K), k14_aofa_a00(A, B, C, D, G, J, K)))  &  ( (! [M] :  ( (v3_aofa_a01(M, A, B, C, u4_aofa_a00(A, B, C, E), G) & m1_msafree4(M, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), G)))  =>  (k1_funct_1(k1_msafree4(u1_struct_0(A), k3_aofa_a01(A, B, C, E, H, D, F, L, K, k6_aofa_a01(A, B, C, E, F, H, G, I, J)), G), M)=k1_funct_1(k1_msafree4(u1_struct_0(A), K, G), M) & k1_funct_1(k1_msafree4(u1_struct_0(A), k3_aofa_a01(A, B, C, E, H, D, F, L, K, k5_aofa_a01(A, B, C, E, F, H, G, I, J)), G), M)=k1_funct_1(k1_msafree4(u1_struct_0(A), K, G), M)) ) )  &  (! [M] :  ( (v3_aofa_a01(M, A, B, C, u4_aofa_a00(A, B, C, E), u8_aofa_a00(A)) & m1_msafree4(M, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u8_aofa_a00(A))))  =>  ( ~ (M=H)  =>  (k1_funct_1(k1_msafree4(u1_struct_0(A), k3_aofa_a01(A, B, C, E, H, D, F, L, K, k6_aofa_a01(A, B, C, E, F, H, G, I, J)), u8_aofa_a00(A)), M)=k1_funct_1(k1_msafree4(u1_struct_0(A), K, u8_aofa_a00(A)), M) & k1_funct_1(k1_msafree4(u1_struct_0(A), k3_aofa_a01(A, B, C, E, H, D, F, L, K, k5_aofa_a01(A, B, C, E, F, H, G, I, J)), u8_aofa_a00(A)), M)=k1_funct_1(k1_msafree4(u1_struct_0(A), K, u8_aofa_a00(A)), M)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  ( (v4_aofa_a01(E, A, B, C) & l4_aofa_a00(E, A, B, C))  =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v2_unialg_1(F) &  (v3_unialg_1(F) &  (v4_unialg_1(F) &  (v3_aofa_000(F) &  (v4_aofa_000(F) &  (v5_aofa_000(F) &  (v6_aofa_000(F) &  ( ~ (v10_aofa_000(F))  &  (v11_aofa_000(F) &  (v12_aofa_000(F) & l3_aofa_a00(F, A, C, u4_aofa_a00(A, B, C, E))) ) ) ) ) ) ) ) ) ) )  =>  (! [G] :  ( (v19_aofa_a00(G, A) & m1_subset_1(G, u1_struct_0(A)))  =>  (! [H] :  ( (v3_aofa_a01(H, A, B, C, u4_aofa_a00(A, B, C, E), u8_aofa_a00(A)) & m1_msafree4(H, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u8_aofa_a00(A))))  =>  (! [I] :  (m1_subset_1(I, k1_funct_1(u3_msualg_1(A, C), G)) =>  (! [J] :  (m2_subset_1(J, k4_autalg_1(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) =>  (! [K] :  (m1_aofa_000(K, F, k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E)), k13_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E), u8_aofa_a00(A), H, k2_aofa_a01(A, D))) =>  ( (v11_aofa_a00(E, A, B, C, D) & r2_tarski(K, k19_aofa_a00(A, B, C, D, E, F, u8_aofa_a00(A), H, k2_aofa_a01(A, D))))  =>  (k1_funct_1(k1_msafree4(u1_struct_0(A), k3_aofa_a01(A, B, C, E, H, D, F, K, J, k8_aofa_a01(A, B, C, E, F, H, G, I)), u8_aofa_a00(A)), H)=k5_int_1(k14_aofa_a00(A, B, C, D, G, I, J), 2) &  (k1_funct_1(k1_msafree4(u1_struct_0(A), k3_aofa_a01(A, B, C, E, H, D, F, K, J, k9_aofa_a01(A, B, C, E, F, H, G, I)), u8_aofa_a00(A)), H)=k5_int_1(k2_xcmplx_0(k14_aofa_a00(A, B, C, D, G, I, J), 1), 2) &  (! [L] :  ( (v3_aofa_a01(L, A, B, C, u4_aofa_a00(A, B, C, E), G) & m1_msafree4(L, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), G)))  =>  (k1_funct_1(k1_msafree4(u1_struct_0(A), k3_aofa_a01(A, B, C, E, H, D, F, K, J, k8_aofa_a01(A, B, C, E, F, H, G, I)), G), L)=k1_funct_1(k1_msafree4(u1_struct_0(A), J, G), L) & k1_funct_1(k1_msafree4(u1_struct_0(A), k3_aofa_a01(A, B, C, E, H, D, F, K, J, k9_aofa_a01(A, B, C, E, F, H, G, I)), G), L)=k1_funct_1(k1_msafree4(u1_struct_0(A), J, G), L)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_aofa_a01(D, A, B, C) & l4_aofa_a00(D, A, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v2_unialg_1(E) &  (v3_unialg_1(E) &  (v4_unialg_1(E) &  (v3_aofa_000(E) &  (v4_aofa_000(E) &  (v5_aofa_000(E) &  (v6_aofa_000(E) &  ( ~ (v10_aofa_000(E))  &  (v11_aofa_000(E) &  (v12_aofa_000(E) & l3_aofa_a00(E, A, C, u4_aofa_a00(A, B, C, D))) ) ) ) ) ) ) ) ) ) )  =>  (v5_aofa_a01(E, A, B, C, D) <=> r1_tarski(k10_xtuple_0(u3_aofa_a00(A, C, u4_aofa_a00(A, B, C, D), E)), k18_aofa_000(E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_aofa_a01(D, A, B, C) & l4_aofa_a00(D, A, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v2_unialg_1(E) &  (v3_unialg_1(E) &  (v4_unialg_1(E) &  (v3_aofa_000(E) &  (v4_aofa_000(E) &  (v5_aofa_000(E) &  (v6_aofa_000(E) &  ( ~ (v10_aofa_000(E))  &  (v11_aofa_000(E) &  (v12_aofa_000(E) & l3_aofa_a00(E, A, C, u4_aofa_a00(A, B, C, D))) ) ) ) ) ) ) ) ) ) )  =>  (v5_aofa_a01(E, A, B, C, D) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_msafree4(G, u1_struct_0(A), u4_aofa_a00(A, B, C, D), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, D), F)) =>  (! [H] :  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, C), F)) => r2_tarski(k11_aofa_a00(A, C, u4_aofa_a00(A, B, C, D), E, F, G, H), k18_aofa_000(E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  ( (v4_aofa_a01(E, A, B, C) & l4_aofa_a00(E, A, B, C))  =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v2_unialg_1(F) &  (v3_unialg_1(F) &  (v4_unialg_1(F) &  (v3_aofa_000(F) &  (v4_aofa_000(F) &  (v5_aofa_000(F) &  (v6_aofa_000(F) &  ( ~ (v10_aofa_000(F))  &  (v11_aofa_000(F) &  (v12_aofa_000(F) & l3_aofa_a00(F, A, C, u4_aofa_a00(A, B, C, E))) ) ) ) ) ) ) ) ) ) )  =>  (! [G] :  ( (v19_aofa_a00(G, A) & m1_subset_1(G, u1_struct_0(A)))  =>  (! [H] :  ( (v3_aofa_a01(H, A, B, C, u4_aofa_a00(A, B, C, E), G) & m1_msafree4(H, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), G)))  =>  (! [I] :  ( (v3_aofa_a01(I, A, B, C, u4_aofa_a00(A, B, C, E), G) & m1_msafree4(I, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), G)))  =>  (! [J] :  ( (v3_aofa_a01(J, A, B, C, u4_aofa_a00(A, B, C, E), G) & m1_msafree4(J, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), G)))  =>  (! [K] :  ( (v3_aofa_a01(K, A, B, C, u4_aofa_a00(A, B, C, E), u8_aofa_a00(A)) & m1_msafree4(K, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u8_aofa_a00(A))))  =>  (! [L] :  (m1_aofa_000(L, F, k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E)), k13_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E), u8_aofa_a00(A), K, k2_aofa_a01(A, D))) =>  (v11_aofa_a00(E, A, B, C, D) =>  ( (! [M] :  ( (v1_relat_1(M) & v1_funct_1(M))  =>  ~ ( (k1_funct_1(M, K)=k5_numbers &  (k1_funct_1(M, H)=1 &  (k1_funct_1(M, I)=2 & k1_funct_1(M, J)=3) ) ) ) ) )  |  (! [M] :  (m2_subset_1(M, k4_autalg_1(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) =>  (! [N] :  (v7_ordinal1(N) =>  ( (N=k1_funct_1(k1_msafree4(u1_struct_0(A), M, G), J) & r2_tarski(L, k19_aofa_a00(A, B, C, D, E, F, u8_aofa_a00(A), K, k2_aofa_a01(A, D))))  => k1_funct_1(k1_msafree4(u1_struct_0(A), k3_aofa_a01(A, B, C, E, K, D, F, L, M, k13_aofa_000(F, k11_aofa_a00(A, C, u4_aofa_a00(A, B, C, E), F, G, I, k27_aofa_a00(A, C, G)), k16_aofa_000(F, k6_aofa_a01(A, B, C, E, F, K, G, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), G, J), k26_aofa_a00(A, C, G)), k13_aofa_000(F, k13_aofa_000(F, k15_aofa_000(F, k8_aofa_a01(A, B, C, E, F, K, G, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), G, J)), k11_aofa_a00(A, C, u4_aofa_a00(A, B, C, E), F, G, I, k30_aofa_a00(A, C, G, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), G, I), k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), G, H)))), k11_aofa_a00(A, C, u4_aofa_a00(A, B, C, E), F, G, J, k31_aofa_a00(A, C, G, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), G, J), k7_aofa_a01(A, B, C, G)))), k11_aofa_a00(A, C, u4_aofa_a00(A, B, C, E), F, G, H, k30_aofa_a00(A, C, G, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), G, H), k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), G, H))))))), G), I)=k1_newton(k1_funct_1(k1_msafree4(u1_struct_0(A), M, G), H), N)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v21_aofa_a00(A, 1, 1, 11) & l6_aofa_a00(A)) ) )  =>  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_aofa_a00(A, k1_funct_1(u7_aofa_a00(A), 11), k10_finseq_1(B, C), D) =>  (B=k36_aofa_a00(A) &  (! [E] :  ( (v19_aofa_a00(E, A) & m1_subset_1(E, u1_struct_0(A)))  =>  ~ (k36_aofa_a00(A)=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t72_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v19_aofa_a00(B, A) & m1_subset_1(B, u1_struct_0(A)))  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v17_aofa_a00(C, A) &  (v20_aofa_a00(C, 4, 1, A) &  (v22_aofa_a00(C, A, 1, 1, 11) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_funct_1(u3_msualg_1(A, C), B)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, C), B)) =>  (D=k5_numbers => k40_aofa_a00(A, C, B, D, E)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ).
fof(t73_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) )  =>  (! [B] :  ( (v19_aofa_a00(B, A) & m1_subset_1(B, u1_struct_0(A)))  =>  ( ~ (k36_aofa_a00(A)=B)  &  (r1_aofa_a00(A, k1_funct_1(u7_aofa_a00(A), 11), k2_finseq_4(u1_struct_0(A), k36_aofa_a00(A), B), B) &  (r1_aofa_a00(A, k1_funct_1(u7_aofa_a00(A), k2_xcmplx_0(11, 1)), k3_finseq_4(u1_struct_0(A), k36_aofa_a00(A), B, B), k36_aofa_a00(A)) &  (r1_aofa_a00(A, k1_funct_1(u7_aofa_a00(A), k2_xcmplx_0(11, 2)), k12_finseq_1(u1_struct_0(A), k36_aofa_a00(A)), B) & r1_aofa_a00(A, k1_funct_1(u7_aofa_a00(A), k2_xcmplx_0(11, 3)), k2_finseq_4(u1_struct_0(A), B, B), k36_aofa_a00(A))) ) ) ) ) ) ) ) ).
fof(t74_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v19_aofa_a00(B, A) & m1_subset_1(B, u1_struct_0(A)))  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v17_aofa_a00(C, A) &  (v20_aofa_a00(C, 4, 1, A) &  (v22_aofa_a00(C, A, 1, 1, 11) & l3_msualg_1(C, A)) ) ) )  =>  (k1_msafree4(u1_struct_0(A), u3_msualg_1(A, C), k36_aofa_a00(A))=k8_afinsq_1(k4_numbers) &  ( (! [D] :  (m1_subset_1(D, k1_funct_1(u3_msualg_1(A, C), B)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, C), B)) =>  ( (v1_int_1(D) &  ~ (v3_xxreal_0(D)) )  => k40_aofa_a00(A, C, B, D, E)=k8_funcop_1(k1_funct_1(u3_msualg_1(A, C), B), k6_ordinal1(D), E)) ) ) ) )  &  (! [D] :  (m1_msafree4(D, u1_struct_0(A), u3_msualg_1(A, C), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, C), k36_aofa_a00(A))) =>  (k37_aofa_a00(A, C, D, B)=k1_card_1(D) &  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, C), B)) =>  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  ( (F=D & r2_tarski(E, k9_xtuple_0(F)))  =>  (k38_aofa_a00(A, C, D, B, E)=k1_funct_1(F, E) &  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, C), B)) => k39_aofa_a00(A, C, D, B, E, G)=k1_funct_7(F, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (v6_aofa_a01(B, A) <=>  (? [C] :  ( (v4_msualg_1(C, A) &  (v4_msafree4(C, A, B) & l3_msualg_1(C, A)) )  &  (v17_aofa_a00(C, A) &  (v20_aofa_a00(C, 4, 1, A) &  (v22_aofa_a00(C, A, 1, 1, 11) & l3_msualg_1(C, A)) ) ) ) ) ) ) ) ) ) ).
fof(t75_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v19_aofa_a00(B, A) & m1_subset_1(B, u1_struct_0(A)))  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (C=k10_subset_1(k1_funct_1(u7_aofa_a00(A), 11), u4_struct_0(A)) =>  (k1_msualg_1(A, C)=k2_finseq_4(u1_struct_0(A), k36_aofa_a00(A), B) & k2_msualg_1(A, C)=B) ) ) ) ) ) ) ) ).
fof(t76_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v19_aofa_a00(B, A) & m1_subset_1(B, u1_struct_0(A)))  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (C=k10_subset_1(k1_funct_1(u7_aofa_a00(A), 12), u4_struct_0(A)) =>  (k1_msualg_1(A, C)=k3_finseq_4(u1_struct_0(A), k36_aofa_a00(A), B, B) & k2_msualg_1(A, C)=k36_aofa_a00(A)) ) ) ) ) ) ) ) ).
fof(t77_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v19_aofa_a00(B, A) & m1_subset_1(B, u1_struct_0(A)))  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (C=k10_subset_1(k1_funct_1(u7_aofa_a00(A), 13), u4_struct_0(A)) =>  (k1_msualg_1(A, C)=k12_finseq_1(u1_struct_0(A), k36_aofa_a00(A)) & k2_msualg_1(A, C)=B) ) ) ) ) ) ) ) ).
fof(t78_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v19_aofa_a00(B, A) & m1_subset_1(B, u1_struct_0(A)))  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (C=k10_subset_1(k1_funct_1(u7_aofa_a00(A), 14), u4_struct_0(A)) =>  (k1_msualg_1(A, C)=k2_finseq_4(u1_struct_0(A), B, B) & k2_msualg_1(A, C)=k36_aofa_a00(A)) ) ) ) ) ) ) ) ).
fof(t79_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v6_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) &  (v22_aofa_a00(D, A, 1, 1, 11) & l3_msualg_1(D, A)) ) ) ) )  =>  (! [E] :  ( (v4_aofa_a01(E, A, B, C) & l4_aofa_a00(E, A, B, C))  =>  (! [F] :  ( (v19_aofa_a00(F, A) & m1_subset_1(F, u1_struct_0(A)))  =>  (! [G] :  (m2_subset_1(G, k4_autalg_1(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) =>  (! [H] :  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, C), k36_aofa_a00(A))) =>  (! [I] :  (m1_subset_1(I, k1_funct_1(u3_msualg_1(A, C), F)) => k14_aofa_a00(A, B, C, D, F, k38_aofa_a00(A, C, H, F, I), G)=k38_aofa_a00(A, D, k14_aofa_a00(A, B, C, D, k36_aofa_a00(A), H, G), F, k14_aofa_a00(A, B, C, D, F, I, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t80_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v6_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) &  (v22_aofa_a00(D, A, 1, 1, 11) & l3_msualg_1(D, A)) ) ) ) )  =>  (! [E] :  ( (v4_aofa_a01(E, A, B, C) & l4_aofa_a00(E, A, B, C))  =>  (! [F] :  ( (v19_aofa_a00(F, A) & m1_subset_1(F, u1_struct_0(A)))  =>  (! [G] :  (m2_subset_1(G, k4_autalg_1(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) =>  (! [H] :  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, C), k36_aofa_a00(A))) =>  (! [I] :  (m1_subset_1(I, k1_funct_1(u3_msualg_1(A, C), F)) =>  (! [J] :  (m1_subset_1(J, k1_funct_1(u3_msualg_1(A, C), F)) => k14_aofa_a00(A, B, C, D, k36_aofa_a00(A), k39_aofa_a00(A, C, H, F, I, J), G)=k39_aofa_a00(A, D, k14_aofa_a00(A, B, C, D, k36_aofa_a00(A), H, G), F, k14_aofa_a00(A, B, C, D, F, I, G), k14_aofa_a00(A, B, C, D, F, J, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t81_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v6_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) &  (v22_aofa_a00(D, A, 1, 1, 11) & l3_msualg_1(D, A)) ) ) ) )  =>  (! [E] :  ( (v4_aofa_a01(E, A, B, C) & l4_aofa_a00(E, A, B, C))  =>  (! [F] :  ( (v19_aofa_a00(F, A) & m1_subset_1(F, u1_struct_0(A)))  =>  (! [G] :  (m2_subset_1(G, k4_autalg_1(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) =>  (! [H] :  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, C), k36_aofa_a00(A))) => k14_aofa_a00(A, B, C, D, F, k37_aofa_a00(A, C, H, F), G)=k37_aofa_a00(A, D, k14_aofa_a00(A, B, C, D, k36_aofa_a00(A), H, G), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t82_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v6_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) &  (v22_aofa_a00(D, A, 1, 1, 11) & l3_msualg_1(D, A)) ) ) ) )  =>  (! [E] :  ( (v4_aofa_a01(E, A, B, C) & l4_aofa_a00(E, A, B, C))  =>  (! [F] :  ( (v19_aofa_a00(F, A) & m1_subset_1(F, u1_struct_0(A)))  =>  (! [G] :  (m2_subset_1(G, k4_autalg_1(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) =>  (! [H] :  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, C), F)) =>  (! [I] :  (m1_subset_1(I, k1_funct_1(u3_msualg_1(A, C), F)) => k14_aofa_a00(A, B, C, D, k36_aofa_a00(A), k40_aofa_a00(A, C, F, H, I), G)=k40_aofa_a00(A, D, F, k14_aofa_a00(A, B, C, D, F, H, G), k14_aofa_a00(A, B, C, D, F, I, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t83_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v6_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) &  (v22_aofa_a00(D, A, 1, 1, 11) & l3_msualg_1(D, A)) ) ) ) )  =>  (! [E] :  ( (v19_aofa_a00(E, A) & m1_subset_1(E, u1_struct_0(A)))  =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), k1_aofa_a01(A, B, C), u3_msualg_1(A, D)) =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, C), k36_aofa_a00(A))) =>  (! [H] :  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, C), E)) => k14_aofa_a00(A, B, C, D, E, k38_aofa_a00(A, C, G, E, H), F)=k38_aofa_a00(A, D, k14_aofa_a00(A, B, C, D, k36_aofa_a00(A), G, F), E, k14_aofa_a00(A, B, C, D, E, H, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t84_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v6_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) &  (v22_aofa_a00(D, A, 1, 1, 11) & l3_msualg_1(D, A)) ) ) ) )  =>  (! [E] :  ( (v19_aofa_a00(E, A) & m1_subset_1(E, u1_struct_0(A)))  =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), k1_aofa_a01(A, B, C), u3_msualg_1(A, D)) =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, C), k36_aofa_a00(A))) =>  (! [H] :  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, C), E)) =>  (! [I] :  (m1_subset_1(I, k1_funct_1(u3_msualg_1(A, C), E)) => k14_aofa_a00(A, B, C, D, k36_aofa_a00(A), k39_aofa_a00(A, C, G, E, H, I), F)=k39_aofa_a00(A, D, k14_aofa_a00(A, B, C, D, k36_aofa_a00(A), G, F), E, k14_aofa_a00(A, B, C, D, E, H, F), k14_aofa_a00(A, B, C, D, E, I, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t85_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v6_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) &  (v22_aofa_a00(D, A, 1, 1, 11) & l3_msualg_1(D, A)) ) ) ) )  =>  (! [E] :  ( (v19_aofa_a00(E, A) & m1_subset_1(E, u1_struct_0(A)))  =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), k1_aofa_a01(A, B, C), u3_msualg_1(A, D)) =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, C), k36_aofa_a00(A))) => k14_aofa_a00(A, B, C, D, E, k37_aofa_a00(A, C, G, E), F)=k37_aofa_a00(A, D, k14_aofa_a00(A, B, C, D, k36_aofa_a00(A), G, F), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t86_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v6_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) &  (v22_aofa_a00(D, A, 1, 1, 11) & l3_msualg_1(D, A)) ) ) ) )  =>  (! [E] :  ( (v19_aofa_a00(E, A) & m1_subset_1(E, u1_struct_0(A)))  =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), k1_aofa_a01(A, B, C), u3_msualg_1(A, D)) =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, C), E)) =>  (! [H] :  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, C), E)) => k14_aofa_a00(A, B, C, D, k36_aofa_a00(A), k40_aofa_a00(A, C, E, G, H), F)=k40_aofa_a00(A, D, E, k14_aofa_a00(A, B, C, D, E, G, F), k14_aofa_a00(A, B, C, D, E, H, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v6_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) ) )  =>  (! [D] :  ( (v19_aofa_a00(D, A) & m1_subset_1(D, u1_struct_0(A)))  =>  (! [E] :  (v1_int_1(E) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, C), D)) =>  (F=k10_aofa_a01(A, B, C, D, E) <=>  (? [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k4_numbers, k1_msafree4(u1_struct_0(A), u3_msualg_1(A, C), D)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_numbers, k1_msafree4(u1_struct_0(A), u3_msualg_1(A, C), D))))) )  &  (F=k1_funct_1(G, E) &  (k1_funct_1(G, k5_numbers)=k26_aofa_a00(A, C, D) &  (! [H] :  (v7_ordinal1(H) =>  (! [I] :  (m1_subset_1(I, k1_funct_1(u3_msualg_1(A, C), D)) =>  (k1_funct_1(G, H)=I =>  (k1_funct_1(G, k2_xcmplx_0(H, 1))=k29_aofa_a00(A, C, D, I, k27_aofa_a00(A, C, D)) & k1_funct_1(G, k4_xcmplx_0(k2_xcmplx_0(H, 1)))=k28_aofa_a00(A, C, D, k29_aofa_a00(A, C, D, I, k27_aofa_a00(A, C, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t87_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v6_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) ) )  =>  (! [D] :  ( (v19_aofa_a00(D, A) & m1_subset_1(D, u1_struct_0(A)))  => k10_aofa_a01(A, B, C, D, k5_numbers)=k26_aofa_a00(A, C, D)) ) ) ) ) ) ) ) ).
fof(t88_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v6_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) ) )  =>  (! [D] :  ( (v19_aofa_a00(D, A) & m1_subset_1(D, u1_struct_0(A)))  =>  (! [E] :  (v7_ordinal1(E) =>  (k10_aofa_a01(A, B, C, D, k2_xcmplx_0(E, 1))=k29_aofa_a00(A, C, D, k10_aofa_a01(A, B, C, D, E), k27_aofa_a00(A, C, D)) & k10_aofa_a01(A, B, C, D, k4_xcmplx_0(k2_xcmplx_0(E, 1)))=k28_aofa_a00(A, C, D, k10_aofa_a01(A, B, C, D, k2_xcmplx_0(E, 1)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t89_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v6_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) ) )  =>  (! [D] :  ( (v19_aofa_a00(D, A) & m1_subset_1(D, u1_struct_0(A)))  => k10_aofa_a01(A, B, C, D, 1)=k29_aofa_a00(A, C, D, k26_aofa_a00(A, C, D), k27_aofa_a00(A, C, D))) ) ) ) ) ) ) ) ).
fof(t90_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v6_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) &  (v22_aofa_a00(D, A, 1, 1, 11) & l3_msualg_1(D, A)) ) ) ) )  =>  (! [E] :  ( (v4_aofa_a01(E, A, B, C) & l4_aofa_a00(E, A, B, C))  =>  (! [F] :  ( (v19_aofa_a00(F, A) & m1_subset_1(F, u1_struct_0(A)))  =>  (! [G] :  (m2_subset_1(G, k4_autalg_1(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) =>  (! [H] :  (v1_int_1(H) => k14_aofa_a00(A, B, C, D, F, k10_aofa_a01(A, B, C, F, H), G)=H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v6_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) ) )  =>  (! [D] :  ( (v4_aofa_a01(D, A, B, C) & l4_aofa_a00(D, A, B, C))  =>  (! [E] :  ( (v19_aofa_a00(E, A) & m1_subset_1(E, u1_struct_0(A)))  =>  (! [F] :  ( (v3_aofa_a01(F, A, B, C, u4_aofa_a00(A, B, C, D), k36_aofa_a00(A)) & m1_msafree4(F, u1_struct_0(A), u4_aofa_a00(A, B, C, D), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, D), k36_aofa_a00(A))))  =>  (! [G] :  (v1_int_1(G) => k11_aofa_a01(A, B, C, D, E, F, G)=k38_aofa_a00(A, C, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, D), k36_aofa_a00(A), F), E, k10_aofa_a01(A, B, C, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t91_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v6_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) &  (v22_aofa_a00(D, A, 1, 1, 11) & l3_msualg_1(D, A)) ) ) ) )  =>  (! [E] :  ( (v4_aofa_a01(E, A, B, C) & l4_aofa_a00(E, A, B, C))  =>  (! [F] :  ( (v19_aofa_a00(F, A) & m1_subset_1(F, u1_struct_0(A)))  =>  (! [G] :  ( (v3_aofa_a01(G, A, B, C, u4_aofa_a00(A, B, C, E), k36_aofa_a00(A)) & m1_msafree4(G, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), k36_aofa_a00(A))))  =>  (! [H] :  (m2_subset_1(H, k4_autalg_1(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) =>  (! [I] :  (v1_int_1(I) =>  ( (r2_hidden(I, k2_afinsq_1(k1_funct_1(k1_msafree4(u1_struct_0(A), H, k36_aofa_a00(A)), G))) & r2_tarski(k11_aofa_a01(A, B, C, E, F, G, I), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), F)))  => k1_funct_1(k1_funct_1(k1_msafree4(u1_struct_0(A), H, k36_aofa_a00(A)), G), I)=k1_funct_1(k1_msafree4(u1_struct_0(A), H, F), k11_aofa_a01(A, B, C, E, F, G, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t92_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v6_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) &  (v22_aofa_a00(D, A, 1, 1, 11) & l3_msualg_1(D, A)) ) ) ) )  =>  (! [E] :  ( (v4_aofa_a01(E, A, B, C) & l4_aofa_a00(E, A, B, C))  =>  (! [F] :  ( (v19_aofa_a00(F, A) & m1_subset_1(F, u1_struct_0(A)))  =>  (! [G] :  ( (v3_aofa_a01(G, A, B, C, u4_aofa_a00(A, B, C, E), F) & m1_msafree4(G, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), F)))  =>  (! [H] :  ( (v3_aofa_a01(H, A, B, C, u4_aofa_a00(A, B, C, E), k36_aofa_a00(A)) & m1_msafree4(H, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), k36_aofa_a00(A))))  =>  (! [I] :  (m2_subset_1(I, k4_autalg_1(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) =>  (! [J] :  (v1_int_1(J) =>  ( (r2_hidden(J, k2_afinsq_1(k1_funct_1(k1_msafree4(u1_struct_0(A), I, k36_aofa_a00(A)), H))) &  (r2_tarski(k38_aofa_a00(A, C, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), k36_aofa_a00(A), H), F, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, G)), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), F)) & J=k14_aofa_a00(A, B, C, D, F, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, G), I)) )  => k1_funct_1(k1_funct_1(k1_msafree4(u1_struct_0(A), I, k36_aofa_a00(A)), H), k14_aofa_a00(A, B, C, D, F, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, G), I))=k1_funct_1(k1_msafree4(u1_struct_0(A), I, F), k38_aofa_a00(A, C, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), k36_aofa_a00(A), H), F, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t93_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v6_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) &  (v22_aofa_a00(D, A, 1, 1, 11) & l3_msualg_1(D, A)) ) ) ) )  =>  (! [E] :  ( (v4_aofa_a01(E, A, B, C) & l4_aofa_a00(E, A, B, C))  =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v2_unialg_1(F) &  (v3_unialg_1(F) &  (v4_unialg_1(F) &  (v3_aofa_000(F) &  (v4_aofa_000(F) &  (v5_aofa_000(F) &  (v6_aofa_000(F) &  ( ~ (v10_aofa_000(F))  &  (v11_aofa_000(F) &  (v12_aofa_000(F) & l3_aofa_a00(F, A, C, u4_aofa_a00(A, B, C, E))) ) ) ) ) ) ) ) ) ) )  =>  (! [G] :  ( (v19_aofa_a00(G, A) & m1_subset_1(G, u1_struct_0(A)))  =>  (! [H] :  ( (v3_aofa_a01(H, A, B, C, u4_aofa_a00(A, B, C, E), G) & m1_msafree4(H, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), G)))  =>  (! [I] :  ( (v3_aofa_a01(I, A, B, C, u4_aofa_a00(A, B, C, E), G) & m1_msafree4(I, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), G)))  =>  (! [J] :  ( (v3_aofa_a01(J, A, B, C, u4_aofa_a00(A, B, C, E), k36_aofa_a00(A)) & m1_msafree4(J, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), k36_aofa_a00(A))))  =>  (! [K] :  ( (v3_aofa_a01(K, A, B, C, u4_aofa_a00(A, B, C, E), u8_aofa_a00(A)) & m1_msafree4(K, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u8_aofa_a00(A))))  =>  (! [L] :  (m2_subset_1(L, k4_autalg_1(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) =>  (! [M] :  (m1_aofa_000(M, F, k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E)), k13_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E), u8_aofa_a00(A), K, k2_aofa_a01(A, D))) =>  ( (r2_tarski(M, k19_aofa_a00(A, B, C, D, E, F, u8_aofa_a00(A), K, k2_aofa_a01(A, D))) & v11_aofa_a00(E, A, B, C, D))  =>  (I=H |  (k1_funct_1(k1_msafree4(u1_struct_0(A), L, k36_aofa_a00(A)), J)=k1_xboole_0 |  (! [N] :  (v7_ordinal1(N) =>  (k1_funct_1(k1_msafree4(u1_struct_0(A), k3_aofa_a01(A, B, C, E, K, D, F, M, L, k13_aofa_000(F, k11_aofa_a00(A, C, u4_aofa_a00(A, B, C, E), F, G, H, k26_aofa_a00(A, C, G)), k17_aofa_000(F, k11_aofa_a00(A, C, u4_aofa_a00(A, B, C, E), F, G, I, k27_aofa_a00(A, C, G)), k6_aofa_a01(A, B, C, E, F, K, G, k37_aofa_a00(A, C, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), k36_aofa_a00(A), J), G), k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), G, I)), k15_aofa_000(F, k6_aofa_a01(A, B, C, E, F, K, G, k38_aofa_a00(A, C, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), k36_aofa_a00(A), J), G, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), G, I)), k38_aofa_a00(A, C, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), k36_aofa_a00(A), J), G, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), G, H))), k11_aofa_a00(A, C, u4_aofa_a00(A, B, C, E), F, G, H, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), G, I))), k11_aofa_a00(A, C, u4_aofa_a00(A, B, C, E), F, G, I, k29_aofa_a00(A, C, G, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), G, I), k27_aofa_a00(A, C, G)))))), G), H)=N =>  (! [O] :  ( ( ~ (v1_xboole_0(O))  &  (v1_finset_1(O) & v5_membered(O)) )  =>  (O=k10_xtuple_0(k1_funct_1(k1_msafree4(u1_struct_0(A), L, k36_aofa_a00(A)), J)) => k14_aofa_a00(A, B, C, D, G, k11_aofa_a01(A, B, C, E, G, J, N), L)=k1_xxreal_2(O)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t94_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v6_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) &  (v22_aofa_a00(D, A, 1, 1, 11) & l3_msualg_1(D, A)) ) ) ) )  =>  (! [E] :  ( (v4_aofa_a01(E, A, B, C) & l4_aofa_a00(E, A, B, C))  =>  (! [F] :  ( (v19_aofa_a00(F, A) & m1_subset_1(F, u1_struct_0(A)))  =>  (! [G] :  ( (v3_aofa_a01(G, A, B, C, u4_aofa_a00(A, B, C, E), F) & m1_msafree4(G, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), F)))  =>  (! [H] :  ( (v3_aofa_a01(H, A, B, C, u4_aofa_a00(A, B, C, E), u8_aofa_a00(A)) & m1_msafree4(H, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u8_aofa_a00(A))))  =>  (! [I] :  ( ( ~ (v2_struct_0(I))  &  (v2_unialg_1(I) &  (v3_unialg_1(I) &  (v4_unialg_1(I) &  (v3_aofa_000(I) &  (v4_aofa_000(I) &  (v5_aofa_000(I) &  (v6_aofa_000(I) &  ( ~ (v10_aofa_000(I))  &  (v11_aofa_000(I) &  (v12_aofa_000(I) &  (v5_aofa_a01(I, A, B, C, E) & l3_aofa_a00(I, A, C, u4_aofa_a00(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) )  =>  (! [J] :  (m1_aofa_000(J, I, k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E)), k13_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E), u8_aofa_a00(A), H, k2_aofa_a01(A, D))) =>  ( (r2_tarski(J, k19_aofa_a00(A, B, C, D, E, I, u8_aofa_a00(A), H, k2_aofa_a01(A, D))) & v11_aofa_a00(E, A, B, C, D))  =>  (! [K] :  (m1_subset_1(K, k1_funct_1(u3_msualg_1(A, C), F)) =>  (! [L] :  (m1_subset_1(L, k1_funct_1(u3_msualg_1(A, C), F)) =>  (! [M] :  (m1_subset_1(M, u1_struct_0(I)) =>  (! [N] :  ( (r7_aofa_000(I, k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E)), k13_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E), u8_aofa_a00(A), H, k2_aofa_a01(A, D)), k11_aofa_a00(A, C, u4_aofa_a00(A, B, C, E), I, F, G, K), J, N) &  (r7_aofa_000(I, k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E)), k13_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E), u8_aofa_a00(A), H, k2_aofa_a01(A, D)), k6_aofa_a01(A, B, C, E, I, H, F, L, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, G)), J, N) &  (r7_aofa_000(I, k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E)), k13_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E), u8_aofa_a00(A), H, k2_aofa_a01(A, D)), k11_aofa_a00(A, C, u4_aofa_a00(A, B, C, E), I, F, G, k29_aofa_a00(A, C, F, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, G), k27_aofa_a00(A, C, F))), J, N) &  (r7_aofa_000(I, k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E)), k13_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E), u8_aofa_a00(A), H, k2_aofa_a01(A, D)), M, J, N) &  (r6_aofa_000(I, k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E)), k13_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E), u8_aofa_a00(A), H, k2_aofa_a01(A, D)), M, J, N) &  (! [O] :  (m2_subset_1(O, k4_autalg_1(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) =>  (k1_funct_1(k1_msafree4(u1_struct_0(A), k3_aofa_a01(A, B, C, E, H, D, I, J, O, M), F), G)=k1_funct_1(k1_msafree4(u1_struct_0(A), O, F), G) &  (k1_funct_1(k1_msafree4(u1_struct_0(A), k3_aofa_a01(A, B, C, E, H, D, I, J, O, k6_aofa_a01(A, B, C, E, I, H, F, L, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, G))), F), G)=k1_funct_1(k1_msafree4(u1_struct_0(A), O, F), G) &  (k14_aofa_a00(A, B, C, D, F, L, k3_aofa_a01(A, B, C, E, H, D, I, J, O, k6_aofa_a01(A, B, C, E, I, H, F, L, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, G))))=k14_aofa_a00(A, B, C, D, F, L, O) & k14_aofa_a00(A, B, C, D, F, L, k3_aofa_a01(A, B, C, E, H, D, I, J, O, k13_aofa_000(I, M, k11_aofa_a00(A, C, u4_aofa_a00(A, B, C, E), I, F, G, k29_aofa_a00(A, C, F, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, G), k27_aofa_a00(A, C, F))))))=k14_aofa_a00(A, B, C, D, F, L, O)) ) ) ) ) ) ) ) ) )  => r6_aofa_000(I, k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E)), k13_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E), u8_aofa_a00(A), H, k2_aofa_a01(A, D)), k17_aofa_000(I, k11_aofa_a00(A, C, u4_aofa_a00(A, B, C, E), I, F, G, K), k6_aofa_a01(A, B, C, E, I, H, F, L, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, G)), M, k11_aofa_a00(A, C, u4_aofa_a00(A, B, C, E), I, F, G, k29_aofa_a00(A, C, F, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, G), k27_aofa_a00(A, C, F)))), J, N)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t96_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v6_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) ) )  =>  (! [D] :  ( (v4_aofa_a01(D, A, B, C) & l4_aofa_a00(D, A, B, C))  =>  (! [E] :  ( (v19_aofa_a00(E, A) & m1_subset_1(E, u1_struct_0(A)))  =>  (! [F] :  ( (v3_aofa_a01(F, A, B, C, u4_aofa_a00(A, B, C, D), k36_aofa_a00(A)) & m1_msafree4(F, u1_struct_0(A), u4_aofa_a00(A, B, C, D), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, D), k36_aofa_a00(A))))  =>  (v7_aofa_a01(D, A, B, C) =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, C), E)) => r2_tarski(k38_aofa_a00(A, C, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, D), k36_aofa_a00(A), F), E, G), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, D), E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_aofa_a01, axiom, k12_aofa_a01=k1_lfuzzy_0(k4_numbers)).
fof(d19_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v6_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) ) )  =>  (! [D] :  ( (v4_aofa_a01(D, A, B, C) & l4_aofa_a00(D, A, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v2_unialg_1(E) &  (v3_unialg_1(E) &  (v4_unialg_1(E) &  (v3_aofa_000(E) &  (v4_aofa_000(E) &  (v5_aofa_000(E) &  (v6_aofa_000(E) &  ( ~ (v10_aofa_000(E))  &  (v11_aofa_000(E) &  (v12_aofa_000(E) &  (v5_aofa_a01(E, A, B, C, D) & l3_aofa_a00(E, A, C, u4_aofa_a00(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) )  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, C), F)) =>  (! [H] :  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, C), F)) =>  (r2_tarski(G, k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, D), F)) => k13_aofa_a01(A, B, C, D, E, F, G, H)=k1_funct_1(u3_aofa_a00(A, C, u4_aofa_a00(A, B, C, D), E), k4_tarski(G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t97_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v19_aofa_a00(B, A) & m1_subset_1(B, u1_struct_0(A)))  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) & v1_msafree4(C, u1_struct_0(A))) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v5_msafree4(D, A, C) &  (v6_msafree4(D, A, C) &  (v7_msafree4(D, A, C) &  (v8_msafree4(D, A, C) &  (v3_aofa_a00(D, A, C) &  (v6_aofa_a01(D, A) & l1_aofa_a00(D, A)) ) ) ) ) ) )  =>  (! [E] :  ( (v4_aofa_a01(E, A, C, D) & l4_aofa_a00(E, A, C, D))  =>  (! [F] :  ( (v3_aofa_a01(F, A, C, D, u4_aofa_a00(A, C, D, E), k36_aofa_a00(A)) & m1_msafree4(F, u1_struct_0(A), u4_aofa_a00(A, C, D, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, C, D, E), k36_aofa_a00(A))))  =>  (! [G] :  ( (v3_aofa_a01(G, A, C, D, u4_aofa_a00(A, C, D, E), B) & m1_msafree4(G, u1_struct_0(A), u4_aofa_a00(A, C, D, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, C, D, E), B)))  =>  (! [H] :  ( (v3_aofa_a01(H, A, C, D, u4_aofa_a00(A, C, D, E), B) & m1_msafree4(H, u1_struct_0(A), u4_aofa_a00(A, C, D, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, C, D, E), B)))  =>  ~ (k38_aofa_a00(A, D, k4_aofa_a01(A, D, u4_aofa_a00(A, C, D, E), k36_aofa_a00(A), F), B, k4_aofa_a01(A, D, u4_aofa_a00(A, C, D, E), B, G))=H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d20_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (v8_aofa_a01(C, A, B) <=>  ~ ( (! [D] :  ( (v19_aofa_a00(D, A) & m1_subset_1(D, u1_struct_0(A)))  =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), k1_aofa_a01(A, B, C), k1_msafree4(u1_struct_0(A), k1_aofa_a01(A, B, C), k36_aofa_a00(A))) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, C), D)) => k38_aofa_a00(A, C, k4_aofa_a01(A, C, k1_aofa_a01(A, B, C), k36_aofa_a00(A), E), D, F)=k4_trees_4(k2_msaterm(A, B, k10_subset_1(k1_funct_1(u7_aofa_a00(A), 11), u4_struct_0(A))), k10_finseq_1(E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t98_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v6_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) ) )  =>  (! [D] :  ( (v4_aofa_a01(D, A, B, C) & l4_aofa_a00(D, A, B, C))  =>  (! [E] :  ( (v19_aofa_a00(E, A) & m1_subset_1(E, u1_struct_0(A)))  =>  (! [F] :  ( (v3_aofa_a01(F, A, B, C, u4_aofa_a00(A, B, C, D), E) & m1_msafree4(F, u1_struct_0(A), u4_aofa_a00(A, B, C, D), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, D), E)))  =>  (! [G] :  ( (v3_aofa_a01(G, A, B, C, u4_aofa_a00(A, B, C, D), k36_aofa_a00(A)) & m1_msafree4(G, u1_struct_0(A), u4_aofa_a00(A, B, C, D), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, D), k36_aofa_a00(A))))  =>  ( ~ (v8_aofa_a01(C, A, B))  => r8_pboole(u1_struct_0(A), k10_aofa_a00(A, C, E, k38_aofa_a00(A, C, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, D), k36_aofa_a00(A), G), E, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, D), E, F))), k2_pboole(u1_struct_0(A), k2_aofa_a00(u1_struct_0(A), E, F), k2_aofa_a00(u1_struct_0(A), k36_aofa_a00(A), G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t99_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v6_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) &  (v22_aofa_a00(D, A, 1, 1, 11) & l3_msualg_1(D, A)) ) ) ) )  =>  (! [E] :  ( (v4_aofa_a01(E, A, B, C) & l4_aofa_a00(E, A, B, C))  =>  (! [F] :  ( (v19_aofa_a00(F, A) & m1_subset_1(F, u1_struct_0(A)))  =>  (! [G] :  ( (v3_aofa_a01(G, A, B, C, u4_aofa_a00(A, B, C, E), F) & m1_msafree4(G, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), F)))  =>  (! [H] :  ( (v3_aofa_a01(H, A, B, C, u4_aofa_a00(A, B, C, E), k36_aofa_a00(A)) & m1_msafree4(H, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), k36_aofa_a00(A))))  =>  (! [I] :  ( (v3_aofa_a01(I, A, B, C, u4_aofa_a00(A, B, C, E), u8_aofa_a00(A)) & m1_msafree4(I, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u8_aofa_a00(A))))  =>  (! [J] :  (m2_subset_1(J, k4_autalg_1(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) =>  (! [K] :  ( ( ~ (v2_struct_0(K))  &  (v2_unialg_1(K) &  (v3_unialg_1(K) &  (v4_unialg_1(K) &  (v3_aofa_000(K) &  (v4_aofa_000(K) &  (v5_aofa_000(K) &  (v6_aofa_000(K) &  ( ~ (v10_aofa_000(K))  &  (v11_aofa_000(K) &  (v12_aofa_000(K) &  (v5_aofa_a01(K, A, B, C, E) & l3_aofa_a00(K, A, C, u4_aofa_a00(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) )  =>  (! [L] :  (m1_aofa_000(L, K, k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E)), k13_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E), u8_aofa_a00(A), I, k2_aofa_a01(A, D))) =>  ( (v7_aofa_a01(E, A, B, C) &  (v11_aofa_a00(E, A, B, C, D) &  (r2_tarski(L, k19_aofa_a00(A, B, C, D, E, K, u8_aofa_a00(A), I, k2_aofa_a01(A, D))) & v1_msafree4(B, u1_struct_0(A))) ) )  =>  (v8_aofa_a01(C, A, B) |  (! [M] :  (m1_subset_1(M, k1_funct_1(u3_msualg_1(A, C), F)) => r8_pboole(u1_struct_0(A), k3_aofa_a01(A, B, C, E, I, D, K, L, J, k13_aofa_a01(A, B, C, E, K, F, k38_aofa_a00(A, C, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), k36_aofa_a00(A), H), F, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, G)), M)), k3_aofa_a01(A, B, C, E, I, D, K, L, J, k11_aofa_a00(A, C, u4_aofa_a00(A, B, C, E), K, k36_aofa_a00(A), H, k39_aofa_a00(A, C, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), k36_aofa_a00(A), H), F, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, G), M))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_aofa_a01, axiom,  ( ( (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, f1_s1_aofa_a01) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_exchsort(A) & v2_exchsort(A, k5_numbers)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(1, B) =>  (r1_xxreal_0(f2_s1_aofa_a01, B) |  (! [C] :  (m1_subset_1(C, f1_s1_aofa_a01) =>  (v1_relat_1(f4_s1_aofa_a01(A, B, C)) &  (v5_relat_1(f4_s1_aofa_a01(A, B, C), f1_s1_aofa_a01) &  (v1_funct_1(f4_s1_aofa_a01(A, B, C)) &  (v1_finset_1(f4_s1_aofa_a01(A, B, C)) &  (v1_exchsort(f4_s1_aofa_a01(A, B, C)) & v2_exchsort(f4_s1_aofa_a01(A, B, C), k5_numbers)) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (v1_relat_1(f3_s1_aofa_a01) &  (v5_relat_1(f3_s1_aofa_a01, f1_s1_aofa_a01) &  (v1_funct_1(f3_s1_aofa_a01) &  (v1_finset_1(f3_s1_aofa_a01) &  (v1_exchsort(f3_s1_aofa_a01) & v2_exchsort(f3_s1_aofa_a01, k5_numbers)) ) ) ) )  &  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(f2_s1_aofa_a01, A))  => r2_tarski(f5_s1_aofa_a01(A), f1_s1_aofa_a01)) ) ) ) )  =>  (? [A] :  (m2_finseq_1(A, k8_afinsq_1(f1_s1_aofa_a01)) &  (k3_finseq_1(A)=f2_s1_aofa_a01 &  ( (k1_funct_1(A, 1)=f3_s1_aofa_a01 | f2_s1_aofa_a01=k5_numbers)  &  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(1, B) =>  (r1_xxreal_0(f2_s1_aofa_a01, B) | k1_funct_1(A, k2_xcmplx_0(B, 1))=f4_s1_aofa_a01(k1_funct_1(A, B), B, f5_s1_aofa_a01(B))) ) ) ) ) ) ) ) ) ).
fof(dt_k1_aofa_a01, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) ) )  =>  (v2_relat_1(k1_aofa_a01(A, B, C)) & m1_msafree(k1_aofa_a01(A, B, C), A, C)) ) ) ).
fof(dt_k2_aofa_a01, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) & l6_aofa_a00(A)) ) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  => m1_subset_1(k2_aofa_a01(A, B), k1_funct_1(u3_msualg_1(A, B), u8_aofa_a00(A)))) ) ).
fof(dt_k3_aofa_a01, axiom,  (! [A, B, C, D, E, F, G, H, I, J] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) & l6_aofa_a00(A)) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  &  (l4_aofa_a00(D, A, B, C) &  (m1_subset_1(E, k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, D), u8_aofa_a00(A))) &  ( (v4_msualg_1(F, A) &  (v4_msafree4(F, A, C) & l3_msualg_1(F, A)) )  &  ( ( ~ (v2_struct_0(G))  &  (v2_unialg_1(G) &  (v3_unialg_1(G) &  (v4_unialg_1(G) &  (v3_aofa_000(G) &  (v4_aofa_000(G) &  (v5_aofa_000(G) &  (v6_aofa_000(G) & l1_unialg_1(G)) ) ) ) ) ) ) )  &  (m1_aofa_000(H, G, k12_aofa_a00(A, C, F, u4_aofa_a00(A, B, C, D)), k13_aofa_a00(A, C, F, u4_aofa_a00(A, B, C, D), u8_aofa_a00(A), E, k2_aofa_a01(A, F))) &  (m1_subset_1(I, k12_aofa_a00(A, C, F, u4_aofa_a00(A, B, C, D))) & m1_subset_1(J, u1_struct_0(G))) ) ) ) ) ) ) ) )  => m2_subset_1(k3_aofa_a01(A, B, C, D, E, F, G, H, I, J), k4_autalg_1(u1_struct_0(A), u4_aofa_a00(A, B, C, D), u3_msualg_1(A, F)), k12_aofa_a00(A, C, F, u4_aofa_a00(A, B, C, D)))) ) ).
fof(redefinition_k3_aofa_a01, axiom,  (! [A, B, C, D, E, F, G, H, I, J] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) & l6_aofa_a00(A)) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  &  (l4_aofa_a00(D, A, B, C) &  (m1_subset_1(E, k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, D), u8_aofa_a00(A))) &  ( (v4_msualg_1(F, A) &  (v4_msafree4(F, A, C) & l3_msualg_1(F, A)) )  &  ( ( ~ (v2_struct_0(G))  &  (v2_unialg_1(G) &  (v3_unialg_1(G) &  (v4_unialg_1(G) &  (v3_aofa_000(G) &  (v4_aofa_000(G) &  (v5_aofa_000(G) &  (v6_aofa_000(G) & l1_unialg_1(G)) ) ) ) ) ) ) )  &  (m1_aofa_000(H, G, k12_aofa_a00(A, C, F, u4_aofa_a00(A, B, C, D)), k13_aofa_a00(A, C, F, u4_aofa_a00(A, B, C, D), u8_aofa_a00(A), E, k2_aofa_a01(A, F))) &  (m1_subset_1(I, k12_aofa_a00(A, C, F, u4_aofa_a00(A, B, C, D))) & m1_subset_1(J, u1_struct_0(G))) ) ) ) ) ) ) ) )  => k3_aofa_a01(A, B, C, D, E, F, G, H, I, J)=k1_binop_1(H, I, J)) ) ).
fof(dt_k4_aofa_a01, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( (v2_relat_1(C) & m1_msafree(C, A, B))  &  (m1_subset_1(D, u1_struct_0(A)) & m1_subset_1(E, k1_msafree4(u1_struct_0(A), C, D))) ) ) )  => m1_subset_1(k4_aofa_a01(A, B, C, D, E), k1_funct_1(u3_msualg_1(A, B), D))) ) ).
fof(dt_k5_aofa_a01, axiom,  (! [A, B, C, D, E, F, G, H, I] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  &  ( (v4_aofa_a01(D, A, B, C) & l4_aofa_a00(D, A, B, C))  &  ( ( ~ (v2_struct_0(E))  &  (v2_unialg_1(E) &  (v3_unialg_1(E) &  (v4_unialg_1(E) &  (v3_aofa_000(E) &  (v4_aofa_000(E) &  (v5_aofa_000(E) &  (v6_aofa_000(E) &  ( ~ (v10_aofa_000(E))  &  (v11_aofa_000(E) &  (v12_aofa_000(E) & l3_aofa_a00(E, A, C, u4_aofa_a00(A, B, C, D))) ) ) ) ) ) ) ) ) ) )  &  ( (v3_aofa_a01(F, A, B, C, u4_aofa_a00(A, B, C, D), u8_aofa_a00(A)) & m1_subset_1(F, k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, D), u8_aofa_a00(A))))  &  ( (v19_aofa_a00(G, A) & m1_subset_1(G, u1_struct_0(A)))  &  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, C), G)) & m1_subset_1(I, k1_funct_1(u3_msualg_1(A, C), G))) ) ) ) ) ) ) )  => m1_subset_1(k5_aofa_a01(A, B, C, D, E, F, G, H, I), u1_struct_0(E))) ) ).
fof(dt_k6_aofa_a01, axiom,  (! [A, B, C, D, E, F, G, H, I] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  &  ( (v4_aofa_a01(D, A, B, C) & l4_aofa_a00(D, A, B, C))  &  ( ( ~ (v2_struct_0(E))  &  (v2_unialg_1(E) &  (v3_unialg_1(E) &  (v4_unialg_1(E) &  (v3_aofa_000(E) &  (v4_aofa_000(E) &  (v5_aofa_000(E) &  (v6_aofa_000(E) &  ( ~ (v10_aofa_000(E))  &  (v11_aofa_000(E) &  (v12_aofa_000(E) & l3_aofa_a00(E, A, C, u4_aofa_a00(A, B, C, D))) ) ) ) ) ) ) ) ) ) )  &  ( (v3_aofa_a01(F, A, B, C, u4_aofa_a00(A, B, C, D), u8_aofa_a00(A)) & m1_subset_1(F, k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, D), u8_aofa_a00(A))))  &  ( (v19_aofa_a00(G, A) & m1_subset_1(G, u1_struct_0(A)))  &  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, C), G)) & m1_subset_1(I, k1_funct_1(u3_msualg_1(A, C), G))) ) ) ) ) ) ) )  => m1_subset_1(k6_aofa_a01(A, B, C, D, E, F, G, H, I), u1_struct_0(E))) ) ).
fof(dt_k7_aofa_a01, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  &  (v19_aofa_a00(D, A) & m1_subset_1(D, u1_struct_0(A))) ) ) )  => m1_subset_1(k7_aofa_a01(A, B, C, D), k1_funct_1(u3_msualg_1(A, C), D))) ) ).
fof(dt_k8_aofa_a01, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  &  ( (v4_aofa_a01(D, A, B, C) & l4_aofa_a00(D, A, B, C))  &  ( ( ~ (v2_struct_0(E))  &  (v2_unialg_1(E) &  (v3_unialg_1(E) &  (v4_unialg_1(E) &  (v3_aofa_000(E) &  (v4_aofa_000(E) &  (v5_aofa_000(E) &  (v6_aofa_000(E) &  ( ~ (v10_aofa_000(E))  &  (v11_aofa_000(E) &  (v12_aofa_000(E) & l3_aofa_a00(E, A, C, u4_aofa_a00(A, B, C, D))) ) ) ) ) ) ) ) ) ) )  &  ( (v3_aofa_a01(F, A, B, C, u4_aofa_a00(A, B, C, D), u8_aofa_a00(A)) & m1_subset_1(F, k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, D), u8_aofa_a00(A))))  &  ( (v19_aofa_a00(G, A) & m1_subset_1(G, u1_struct_0(A)))  & m1_subset_1(H, k1_funct_1(u3_msualg_1(A, C), G))) ) ) ) ) ) )  => m1_subset_1(k8_aofa_a01(A, B, C, D, E, F, G, H), u1_struct_0(E))) ) ).
fof(dt_k9_aofa_a01, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  &  ( (v4_aofa_a01(D, A, B, C) & l4_aofa_a00(D, A, B, C))  &  ( ( ~ (v2_struct_0(E))  &  (v2_unialg_1(E) &  (v3_unialg_1(E) &  (v4_unialg_1(E) &  (v3_aofa_000(E) &  (v4_aofa_000(E) &  (v5_aofa_000(E) &  (v6_aofa_000(E) &  ( ~ (v10_aofa_000(E))  &  (v11_aofa_000(E) &  (v12_aofa_000(E) & l3_aofa_a00(E, A, C, u4_aofa_a00(A, B, C, D))) ) ) ) ) ) ) ) ) ) )  &  ( (v3_aofa_a01(F, A, B, C, u4_aofa_a00(A, B, C, D), u8_aofa_a00(A)) & m1_subset_1(F, k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, D), u8_aofa_a00(A))))  &  ( (v19_aofa_a00(G, A) & m1_subset_1(G, u1_struct_0(A)))  & m1_subset_1(H, k1_funct_1(u3_msualg_1(A, C), G))) ) ) ) ) ) )  => m1_subset_1(k9_aofa_a01(A, B, C, D, E, F, G, H), u1_struct_0(E))) ) ).
fof(dt_f1_s1_aofa_a01, axiom,  ~ (v1_xboole_0(f1_s1_aofa_a01)) ).
fof(dt_f2_s1_aofa_a01, axiom, v7_ordinal1(f2_s1_aofa_a01)).
fof(dt_k10_aofa_a01, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v6_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) ) )  &  ( (v19_aofa_a00(D, A) & m1_subset_1(D, u1_struct_0(A)))  & v1_int_1(E)) ) ) )  => m1_subset_1(k10_aofa_a01(A, B, C, D, E), k1_funct_1(u3_msualg_1(A, C), D))) ) ).
fof(dt_k11_aofa_a01, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v6_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) ) )  &  ( (v4_aofa_a01(D, A, B, C) & l4_aofa_a00(D, A, B, C))  &  ( (v19_aofa_a00(E, A) & m1_subset_1(E, u1_struct_0(A)))  &  ( (v3_aofa_a01(F, A, B, C, u4_aofa_a00(A, B, C, D), k36_aofa_a00(A)) & m1_subset_1(F, k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, D), k36_aofa_a00(A))))  & v1_int_1(G)) ) ) ) ) )  => m1_subset_1(k11_aofa_a01(A, B, C, D, E, F, G), k1_funct_1(u3_msualg_1(A, C), E))) ) ).
fof(dt_k12_aofa_a01, axiom,  ( ~ (v2_struct_0(k12_aofa_a01))  &  (v1_orders_2(k12_aofa_a01) &  (v3_orders_2(k12_aofa_a01) &  (v4_orders_2(k12_aofa_a01) &  (v5_orders_2(k12_aofa_a01) &  (v1_lfuzzy_0(k12_aofa_a01) & l1_orders_2(k12_aofa_a01)) ) ) ) ) ) ).
fof(dt_k13_aofa_a01, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v6_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) ) )  &  ( (v4_aofa_a01(D, A, B, C) & l4_aofa_a00(D, A, B, C))  &  ( ( ~ (v2_struct_0(E))  &  (v2_unialg_1(E) &  (v3_unialg_1(E) &  (v4_unialg_1(E) &  (v3_aofa_000(E) &  (v4_aofa_000(E) &  (v5_aofa_000(E) &  (v6_aofa_000(E) &  ( ~ (v10_aofa_000(E))  &  (v11_aofa_000(E) &  (v12_aofa_000(E) &  (v5_aofa_a01(E, A, B, C, D) & l3_aofa_a00(E, A, C, u4_aofa_a00(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(F, u1_struct_0(A)) &  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, C), F)) & m1_subset_1(H, k1_funct_1(u3_msualg_1(A, C), F))) ) ) ) ) ) )  =>  (v15_aofa_000(k13_aofa_a01(A, B, C, D, E, F, G, H), E) & m1_subset_1(k13_aofa_a01(A, B, C, D, E, F, G, H), u1_struct_0(E))) ) ) ).
fof(t69_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) & l6_aofa_a00(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v1_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  ( (v4_aofa_a01(E, A, B, C) & l4_aofa_a00(E, A, B, C))  =>  (! [F] :  ( (v19_aofa_a00(F, A) & m1_subset_1(F, u1_struct_0(A)))  =>  (! [G] :  ( (v3_aofa_a01(G, A, B, C, u4_aofa_a00(A, B, C, E), F) & m1_msafree4(G, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), F)))  =>  (! [H] :  ( (v3_aofa_a01(H, A, B, C, u4_aofa_a00(A, B, C, E), F) & m1_msafree4(H, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), F)))  =>  (! [I] :  ( (v3_aofa_a01(I, A, B, C, u4_aofa_a00(A, B, C, E), F) & m1_msafree4(I, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), F)))  =>  (! [J] :  ( (v3_aofa_a01(J, A, B, C, u4_aofa_a00(A, B, C, E), u8_aofa_a00(A)) & m1_msafree4(J, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u8_aofa_a00(A))))  =>  (! [K] :  ( ( ~ (v2_struct_0(K))  &  (v2_unialg_1(K) &  (v3_unialg_1(K) &  (v4_unialg_1(K) &  (v3_aofa_000(K) &  (v4_aofa_000(K) &  (v5_aofa_000(K) &  (v6_aofa_000(K) &  ( ~ (v10_aofa_000(K))  &  (v11_aofa_000(K) &  (v12_aofa_000(K) &  (v5_aofa_a01(K, A, B, C, E) & l3_aofa_a00(K, A, C, u4_aofa_a00(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) )  =>  (! [L] :  (m1_aofa_000(L, K, k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E)), k13_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E), u8_aofa_a00(A), J, k2_aofa_a01(A, D))) =>  ( (v11_aofa_a00(E, A, B, C, D) & r2_tarski(L, k19_aofa_a00(A, B, C, D, E, K, u8_aofa_a00(A), J, k2_aofa_a01(A, D))))  =>  ( (! [M] :  ( (v1_relat_1(M) & v1_funct_1(M))  =>  ~ ( (k1_funct_1(M, G)=1 &  (k1_funct_1(M, H)=2 & k1_funct_1(M, I)=3) ) ) ) )  | r6_aofa_000(K, k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E)), k13_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E), u8_aofa_a00(A), J, k2_aofa_a01(A, D)), k13_aofa_000(K, k11_aofa_a00(A, C, u4_aofa_a00(A, B, C, E), K, F, H, k27_aofa_a00(A, C, F)), k16_aofa_000(K, k6_aofa_a01(A, B, C, E, K, J, F, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, I), k26_aofa_a00(A, C, F)), k13_aofa_000(K, k13_aofa_000(K, k15_aofa_000(K, k8_aofa_a01(A, B, C, E, K, J, F, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, I)), k11_aofa_a00(A, C, u4_aofa_a00(A, B, C, E), K, F, H, k30_aofa_a00(A, C, F, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, H), k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, G)))), k11_aofa_a00(A, C, u4_aofa_a00(A, B, C, E), K, F, I, k31_aofa_a00(A, C, F, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, I), k7_aofa_a01(A, B, C, F)))), k11_aofa_a00(A, C, u4_aofa_a00(A, B, C, E), K, F, G, k30_aofa_a00(A, C, F, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, G), k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, G)))))), L, a_7_0_aofa_a01(A, B, C, D, E, F, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t95_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v6_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) &  (v22_aofa_a00(D, A, 1, 1, 11) & l3_msualg_1(D, A)) ) ) ) )  =>  (! [E] :  ( (v4_aofa_a01(E, A, B, C) & l4_aofa_a00(E, A, B, C))  =>  (! [F] :  ( (v19_aofa_a00(F, A) & m1_subset_1(F, u1_struct_0(A)))  =>  (! [G] :  ( (v3_aofa_a01(G, A, B, C, u4_aofa_a00(A, B, C, E), F) & m1_msafree4(G, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), F)))  =>  (! [H] :  ( (v3_aofa_a01(H, A, B, C, u4_aofa_a00(A, B, C, E), F) & m1_msafree4(H, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), F)))  =>  (! [I] :  ( (v3_aofa_a01(I, A, B, C, u4_aofa_a00(A, B, C, E), k36_aofa_a00(A)) & m1_msafree4(I, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), k36_aofa_a00(A))))  =>  (! [J] :  ( (v3_aofa_a01(J, A, B, C, u4_aofa_a00(A, B, C, E), u8_aofa_a00(A)) & m1_msafree4(J, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u8_aofa_a00(A))))  =>  (! [K] :  ( ( ~ (v2_struct_0(K))  &  (v2_unialg_1(K) &  (v3_unialg_1(K) &  (v4_unialg_1(K) &  (v3_aofa_000(K) &  (v4_aofa_000(K) &  (v5_aofa_000(K) &  (v6_aofa_000(K) &  ( ~ (v10_aofa_000(K))  &  (v11_aofa_000(K) &  (v12_aofa_000(K) &  (v5_aofa_a01(K, A, B, C, E) & l3_aofa_a00(K, A, C, u4_aofa_a00(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) )  =>  (! [L] :  (m1_aofa_000(L, K, k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E)), k13_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E), u8_aofa_a00(A), J, k2_aofa_a01(A, D))) =>  ( (r2_tarski(L, k19_aofa_a00(A, B, C, D, E, K, u8_aofa_a00(A), J, k2_aofa_a01(A, D))) & v11_aofa_a00(E, A, B, C, D))  =>  (H=G | r6_aofa_000(K, k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E)), k13_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E), u8_aofa_a00(A), J, k2_aofa_a01(A, D)), k13_aofa_000(K, k11_aofa_a00(A, C, u4_aofa_a00(A, B, C, E), K, F, G, k26_aofa_a00(A, C, F)), k17_aofa_000(K, k11_aofa_a00(A, C, u4_aofa_a00(A, B, C, E), K, F, H, k27_aofa_a00(A, C, F)), k6_aofa_a01(A, B, C, E, K, J, F, k37_aofa_a00(A, C, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), k36_aofa_a00(A), I), F), k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, H)), k15_aofa_000(K, k6_aofa_a01(A, B, C, E, K, J, F, k38_aofa_a00(A, C, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), k36_aofa_a00(A), I), F, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, H)), k38_aofa_a00(A, C, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), k36_aofa_a00(A), I), F, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, G))), k11_aofa_a00(A, C, u4_aofa_a00(A, B, C, E), K, F, G, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, H))), k11_aofa_a00(A, C, u4_aofa_a00(A, B, C, E), K, F, H, k29_aofa_a00(A, C, F, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, H), k27_aofa_a00(A, C, F))))), L, a_6_0_aofa_a01(A, B, C, D, E, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v6_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) ) )  =>  (! [D] :  ( (v4_aofa_a01(D, A, B, C) & l4_aofa_a00(D, A, B, C))  =>  (v7_aofa_a01(D, A, B, C) <=>  (! [E] :  ( (v19_aofa_a00(E, A) & m1_subset_1(E, u1_struct_0(A)))  =>  (r1_tarski(a_5_0_aofa_a01(A, B, C, D, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, D), E)) &  (! [F] :  ( (v3_aofa_a01(F, A, B, C, u4_aofa_a00(A, B, C, D), k36_aofa_a00(A)) & m1_msafree4(F, u1_struct_0(A), u4_aofa_a00(A, B, C, D), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, D), k36_aofa_a00(A))))  =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, C), E)) =>  (! [H] :  (m4_aofa_a00(H, A, B, C, D, E) =>  ~ ( (H=k38_aofa_a00(A, C, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, D), k36_aofa_a00(A), F), E, G) &  (! [I] :  ( (v3_aofa_a01(I, A, B, C, u4_aofa_a00(A, B, C, D), E) & m1_msafree4(I, u1_struct_0(A), u4_aofa_a00(A, B, C, D), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, D), E)))  =>  ~ ( ( ~ (r2_hidden(I, k1_msafree4(u1_struct_0(A), k10_aofa_a00(A, C, E, G), E)))  &  (k16_aofa_a00(A, B, C, D, E, H)=I &  (k1_funct_1(k2_msafree4(u1_struct_0(A), k10_aofa_a00(A, C, E, H), u3_msualg_1(A, C), k17_aofa_a00(A, B, C, D, E, H), k36_aofa_a00(A)), F)=k39_aofa_a00(A, C, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, D), k36_aofa_a00(A), F), E, G, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, D), E, I)) &  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  ( (v3_aofa_a01(K, A, B, C, u4_aofa_a00(A, B, C, D), E) & m1_msafree4(K, u1_struct_0(A), u4_aofa_a00(A, B, C, D), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, D), E)))  =>  (r2_tarski(K, k1_msafree4(u1_struct_0(A), k10_aofa_a00(A, C, E, H), J)) =>  ( (J=k36_aofa_a00(A) & K=F)  | k1_funct_1(k2_msafree4(u1_struct_0(A), k10_aofa_a00(A, C, E, H), u3_msualg_1(A, C), k17_aofa_a00(A, B, C, D, E, H), J), K)=K) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t100_aofa_a01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v13_aofa_a00(A) &  (v16_aofa_a00(A) &  (v18_aofa_a00(A, 4, 1) &  (v21_aofa_a00(A, 1, 1, 11) &  (v23_aofa_a00(A, 11) & l6_aofa_a00(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  (v3_aofa_a00(C, A, B) &  (v6_aofa_a01(C, A) & l1_aofa_a00(C, A)) ) ) ) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) &  (v17_aofa_a00(D, A) &  (v20_aofa_a00(D, 4, 1, A) &  (v22_aofa_a00(D, A, 1, 1, 11) & l3_msualg_1(D, A)) ) ) ) )  =>  (! [E] :  ( (v4_aofa_a01(E, A, B, C) & l4_aofa_a00(E, A, B, C))  =>  (! [F] :  ( (v19_aofa_a00(F, A) & m1_subset_1(F, u1_struct_0(A)))  =>  (! [G] :  ( (v3_aofa_a01(G, A, B, C, u4_aofa_a00(A, B, C, E), F) & m1_msafree4(G, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), F)))  =>  (! [H] :  ( (v3_aofa_a01(H, A, B, C, u4_aofa_a00(A, B, C, E), k36_aofa_a00(A)) & m1_msafree4(H, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), k36_aofa_a00(A))))  =>  (! [I] :  ( (v3_aofa_a01(I, A, B, C, u4_aofa_a00(A, B, C, E), u8_aofa_a00(A)) & m1_msafree4(I, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u8_aofa_a00(A))))  =>  (! [J] :  (m2_subset_1(J, k4_autalg_1(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) =>  (! [K] :  ( (v3_aofa_a01(K, A, B, C, u4_aofa_a00(A, B, C, E), F) & m1_msafree4(K, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), F)))  =>  (! [L] :  ( (v3_aofa_a01(L, A, B, C, u4_aofa_a00(A, B, C, E), F) & m1_msafree4(L, u1_struct_0(A), u4_aofa_a00(A, B, C, E), k1_msafree4(u1_struct_0(A), u4_aofa_a00(A, B, C, E), F)))  =>  (! [M] :  ( ( ~ (v2_struct_0(M))  &  (v2_unialg_1(M) &  (v3_unialg_1(M) &  (v4_unialg_1(M) &  (v3_aofa_000(M) &  (v4_aofa_000(M) &  (v5_aofa_000(M) &  (v6_aofa_000(M) &  ( ~ (v10_aofa_000(M))  &  (v11_aofa_000(M) &  (v12_aofa_000(M) &  (v5_aofa_a01(M, A, B, C, E) & l3_aofa_a00(M, A, C, u4_aofa_a00(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) )  =>  (! [N] :  (m1_aofa_000(N, M, k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E)), k13_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E), u8_aofa_a00(A), I, k2_aofa_a01(A, D))) =>  ( (v7_aofa_a01(E, A, B, C) &  (v11_aofa_a00(E, A, B, C, D) &  (r2_tarski(N, k19_aofa_a00(A, B, C, D, E, M, u8_aofa_a00(A), I, k2_aofa_a01(A, D))) & v1_msafree4(B, u1_struct_0(A))) ) )  =>  (v8_aofa_a01(C, A, B) |  (! [O] :  (m1_subset_1(O, u1_struct_0(M)) =>  ( (! [P] :  (m2_subset_1(P, k4_autalg_1(u1_struct_0(A), u4_aofa_a00(A, B, C, E), u3_msualg_1(A, D)), k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E))) =>  (k1_funct_1(k1_msafree4(u1_struct_0(A), k3_aofa_a01(A, B, C, E, I, D, M, N, P, O), k36_aofa_a00(A)), H)=k1_funct_1(k1_msafree4(u1_struct_0(A), P, k36_aofa_a00(A)), H) &  (! [Q] :  ( (v1_relat_1(Q) &  (v5_relat_1(Q, u1_struct_0(k12_aofa_a01)) &  (v1_funct_1(Q) & v1_exchsort(Q)) ) )  =>  (Q=k1_funct_1(k1_msafree4(u1_struct_0(A), P, k36_aofa_a00(A)), H) =>  ( ( ~ (Q=k1_xboole_0)  =>  (r2_tarski(k1_funct_1(k1_msafree4(u1_struct_0(A), k3_aofa_a01(A, B, C, E, I, D, M, N, P, O), F), K), k9_xtuple_0(Q)) & r2_tarski(k1_funct_1(k1_msafree4(u1_struct_0(A), k3_aofa_a01(A, B, C, E, I, D, M, N, P, O), F), L), k9_xtuple_0(Q))) )  &  ( ( ~ (k6_exchsort(k12_aofa_a01, Q)=k1_xboole_0)  => r2_hidden(k4_tarski(k1_funct_1(k1_msafree4(u1_struct_0(A), k3_aofa_a01(A, B, C, E, I, D, M, N, P, O), F), K), k1_funct_1(k1_msafree4(u1_struct_0(A), k3_aofa_a01(A, B, C, E, I, D, M, N, P, O), F), L)), k6_exchsort(k12_aofa_a01, Q)))  &  ( ~ ( (k1_funct_1(k1_msafree4(u1_struct_0(A), k3_aofa_a01(A, B, C, E, I, D, M, N, P, O), u8_aofa_a00(A)), I)=k7_margrel1 & k6_exchsort(k12_aofa_a01, Q)=k1_xboole_0) )  &  ( ~ (k6_exchsort(k12_aofa_a01, Q)=k1_xboole_0)  => k1_funct_1(k1_msafree4(u1_struct_0(A), k3_aofa_a01(A, B, C, E, I, D, M, N, P, O), u8_aofa_a00(A)), I)=k7_margrel1) ) ) ) ) ) ) ) ) )  =>  (! [P] :  ( (v1_relat_1(P) &  (v5_relat_1(P, u1_struct_0(k12_aofa_a01)) &  (v1_funct_1(P) &  (v1_finset_1(P) &  (v1_exchsort(P) & v2_exchsort(P, k5_numbers)) ) ) ) )  =>  (P=k1_funct_1(k1_msafree4(u1_struct_0(A), J, k36_aofa_a00(A)), H) =>  (G=K |  (G=L |  ( (v5_exchsort(k1_funct_1(k1_msafree4(u1_struct_0(A), k3_aofa_a01(A, B, C, E, I, D, M, N, J, k16_aofa_000(M, O, k13_aofa_000(M, k13_aofa_000(M, k11_aofa_a00(A, C, u4_aofa_a00(A, B, C, E), M, F, G, k38_aofa_a00(A, C, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), k36_aofa_a00(A), H), F, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, K))), k13_aofa_a01(A, B, C, E, M, F, k38_aofa_a00(A, C, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), k36_aofa_a00(A), H), F, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, K)), k38_aofa_a00(A, C, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), k36_aofa_a00(A), H), F, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, L)))), k13_aofa_a01(A, B, C, E, M, F, k38_aofa_a00(A, C, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), k36_aofa_a00(A), H), F, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, L)), k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, G))))), k36_aofa_a00(A)), H), k12_aofa_a01) & m1_exchsort(k1_funct_1(k1_msafree4(u1_struct_0(A), k3_aofa_a01(A, B, C, E, I, D, M, N, J, k16_aofa_000(M, O, k13_aofa_000(M, k13_aofa_000(M, k11_aofa_a00(A, C, u4_aofa_a00(A, B, C, E), M, F, G, k38_aofa_a00(A, C, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), k36_aofa_a00(A), H), F, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, K))), k13_aofa_a01(A, B, C, E, M, F, k38_aofa_a00(A, C, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), k36_aofa_a00(A), H), F, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, K)), k38_aofa_a00(A, C, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), k36_aofa_a00(A), H), F, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, L)))), k13_aofa_a01(A, B, C, E, M, F, k38_aofa_a00(A, C, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), k36_aofa_a00(A), H), F, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, L)), k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, G))))), k36_aofa_a00(A)), H), P))  &  (v15_aofa_000(O, M) => r6_aofa_000(M, k12_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E)), k13_aofa_a00(A, C, D, u4_aofa_a00(A, B, C, E), u8_aofa_a00(A), I, k2_aofa_a01(A, D)), k16_aofa_000(M, O, k13_aofa_000(M, k13_aofa_000(M, k11_aofa_a00(A, C, u4_aofa_a00(A, B, C, E), M, F, G, k38_aofa_a00(A, C, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), k36_aofa_a00(A), H), F, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, K))), k13_aofa_a01(A, B, C, E, M, F, k38_aofa_a00(A, C, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), k36_aofa_a00(A), H), F, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, K)), k38_aofa_a00(A, C, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), k36_aofa_a00(A), H), F, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, L)))), k13_aofa_a01(A, B, C, E, M, F, k38_aofa_a00(A, C, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), k36_aofa_a00(A), H), F, k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, L)), k4_aofa_a01(A, C, u4_aofa_a00(A, B, C, E), F, G)))), N, a_6_0_aofa_a01(A, B, C, D, E, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_7_0_aofa_a01, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v16_aofa_a00(B) &  (v18_aofa_a00(B, 4, 1) & l6_aofa_a00(B)) ) ) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) )  &  ( (v5_msafree4(D, B, C) &  (v6_msafree4(D, B, C) &  (v7_msafree4(D, B, C) &  (v8_msafree4(D, B, C) &  (v3_aofa_a00(D, B, C) &  (v1_aofa_a01(D, B) & l1_aofa_a00(D, B)) ) ) ) ) )  &  ( (v4_msualg_1(E, B) &  (v4_msafree4(E, B, D) &  (v17_aofa_a00(E, B) &  (v20_aofa_a00(E, 4, 1, B) & l3_msualg_1(E, B)) ) ) )  &  ( (v4_aofa_a01(F, B, C, D) & l4_aofa_a00(F, B, C, D))  &  ( (v19_aofa_a00(G, B) & m1_subset_1(G, u1_struct_0(B)))  &  (v3_aofa_a01(H, B, C, D, u4_aofa_a00(B, C, D, F), G) & m1_msafree4(H, u1_struct_0(B), u4_aofa_a00(B, C, D, F), k1_msafree4(u1_struct_0(B), u4_aofa_a00(B, C, D, F), G))) ) ) ) ) ) )  =>  (r2_hidden(A, a_7_0_aofa_a01(B, C, D, E, F, G, H)) <=>  (? [I] :  (m2_subset_1(I, k4_autalg_1(u1_struct_0(B), u4_aofa_a00(B, C, D, F), u3_msualg_1(B, E)), k12_aofa_a00(B, D, E, u4_aofa_a00(B, C, D, F))) &  (A=I & r1_xxreal_0(k5_numbers, k1_funct_1(k1_msafree4(u1_struct_0(B), I, G), H))) ) ) ) ) ) ).
fof(fraenkel_a_6_0_aofa_a01, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v13_aofa_a00(B) &  (v16_aofa_a00(B) &  (v18_aofa_a00(B, 4, 1) &  (v21_aofa_a00(B, 1, 1, 11) &  (v23_aofa_a00(B, 11) & l6_aofa_a00(B)) ) ) ) ) ) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) )  &  ( (v4_msualg_1(D, B) &  (v5_msafree4(D, B, C) &  (v6_msafree4(D, B, C) &  (v7_msafree4(D, B, C) &  (v8_msafree4(D, B, C) &  (v3_aofa_a00(D, B, C) &  (v6_aofa_a01(D, B) & l1_aofa_a00(D, B)) ) ) ) ) ) )  &  ( (v4_msualg_1(E, B) &  (v4_msafree4(E, B, D) &  (v17_aofa_a00(E, B) &  (v20_aofa_a00(E, 4, 1, B) &  (v22_aofa_a00(E, B, 1, 1, 11) & l3_msualg_1(E, B)) ) ) ) )  &  ( (v4_aofa_a01(F, B, C, D) & l4_aofa_a00(F, B, C, D))  &  (v3_aofa_a01(G, B, C, D, u4_aofa_a00(B, C, D, F), k36_aofa_a00(B)) & m1_msafree4(G, u1_struct_0(B), u4_aofa_a00(B, C, D, F), k1_msafree4(u1_struct_0(B), u4_aofa_a00(B, C, D, F), k36_aofa_a00(B)))) ) ) ) ) )  =>  (r2_hidden(A, a_6_0_aofa_a01(B, C, D, E, F, G)) <=>  (? [H] :  (m2_subset_1(H, k4_autalg_1(u1_struct_0(B), u4_aofa_a00(B, C, D, F), u3_msualg_1(B, E)), k12_aofa_a00(B, D, E, u4_aofa_a00(B, C, D, F))) &  (A=H &  ~ (k1_funct_1(k1_msafree4(u1_struct_0(B), H, k36_aofa_a00(B)), G)=k1_xboole_0) ) ) ) ) ) ) ).
fof(fraenkel_a_5_0_aofa_a01, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v13_aofa_a00(B) &  (v16_aofa_a00(B) &  (v18_aofa_a00(B, 4, 1) &  (v21_aofa_a00(B, 1, 1, 11) &  (v23_aofa_a00(B, 11) & l6_aofa_a00(B)) ) ) ) ) ) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) )  &  ( (v4_msualg_1(D, B) &  (v5_msafree4(D, B, C) &  (v6_msafree4(D, B, C) &  (v7_msafree4(D, B, C) &  (v8_msafree4(D, B, C) &  (v3_aofa_a00(D, B, C) &  (v6_aofa_a01(D, B) & l1_aofa_a00(D, B)) ) ) ) ) ) )  &  ( (v4_aofa_a01(E, B, C, D) & l4_aofa_a00(E, B, C, D))  &  (v19_aofa_a00(F, B) & m1_subset_1(F, u1_struct_0(B))) ) ) ) )  =>  (r2_hidden(A, a_5_0_aofa_a01(B, C, D, E, F)) <=>  (? [G, H] :  ( ( (v3_aofa_a01(G, B, C, D, u4_aofa_a00(B, C, D, E), k36_aofa_a00(B)) & m1_msafree4(G, u1_struct_0(B), u4_aofa_a00(B, C, D, E), k1_msafree4(u1_struct_0(B), u4_aofa_a00(B, C, D, E), k36_aofa_a00(B))))  & m1_subset_1(H, k1_funct_1(u3_msualg_1(B, D), F)))  & A=k38_aofa_a00(B, D, k4_aofa_a01(B, D, u4_aofa_a00(B, C, D, E), k36_aofa_a00(B), G), F, H)) ) ) ) ) ).
fof(fc1_aofa_i00, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_finset_1(B)) )  =>  ~ (v1_finset_1(k1_funct_2(A, B))) ) ) ).
fof(rc1_aofa_i00, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_card_1(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k1_card_1(A)) &  (v1_funct_1(B) &  (v2_funct_1(B) &  (v1_funct_2(B, A, k1_card_1(A)) & v2_funct_2(B, k1_card_1(A))) ) ) ) ) ) ) ) ) ).
fof(rc2_aofa_i00, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_card_1(A), A))) &  (v1_relat_1(B) &  (v4_relat_1(B, k1_card_1(A)) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v2_funct_1(B) &  (v1_funct_2(B, k1_card_1(A), A) & v2_funct_2(B, A)) ) ) ) ) ) ) ) ) ).
fof(cc1_aofa_i00, axiom,  (! [A] :  (m4_aofa_i00(A) => v1_aofa_i00(A, k7_freealg(k19_aofa_000, k26_aofa_i00), k4_ordinal1, k1_aofa_i00(k9_funct_2(k4_ordinal1, k4_numbers), k5_numbers, k5_numbers))) ) ).
fof(cc2_aofa_i00, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v4_card_3(A))  &  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(A, k4_numbers))) &  (v1_funct_1(C) &  (v2_funct_1(C) &  (v1_funct_2(C, A, k1_card_1(A)) &  (v2_funct_2(C, k1_card_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_card_1(A))))) ) ) ) ) )  =>  (! [D] :  (m6_aofa_i00(D, A, B, C) => v1_aofa_i00(D, k7_freealg(k19_aofa_000, k26_aofa_i00), A, B)) ) ) ) ).
fof(fc2_aofa_i00, axiom,  ( ~ (v2_struct_0(k7_freealg(k19_aofa_000, k26_aofa_i00)))  &  (v1_unialg_1(k7_freealg(k19_aofa_000, k26_aofa_i00)) &  (v2_unialg_1(k7_freealg(k19_aofa_000, k26_aofa_i00)) &  (v3_unialg_1(k7_freealg(k19_aofa_000, k26_aofa_i00)) &  (v4_unialg_1(k7_freealg(k19_aofa_000, k26_aofa_i00)) & v2_aofa_i00(k7_freealg(k19_aofa_000, k26_aofa_i00))) ) ) ) ) ).
fof(rc3_aofa_i00, axiom,  (? [A] :  (l1_unialg_1(A) &  ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  ( ~ (v10_aofa_000(A))  & v2_aofa_i00(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc4_aofa_i00, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  & m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers)))) )  =>  (? [D] :  (m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C) &  (v1_relat_1(D) &  (v4_relat_1(D, k2_zfmisc_1(k9_funct_2(B, k4_numbers), u1_struct_0(A))) &  (v5_relat_1(D, k9_funct_2(B, k4_numbers)) &  ( ~ (v1_xboole_0(D))  &  (v1_funct_1(D) &  (v1_partfun1(D, k2_zfmisc_1(k9_funct_2(B, k4_numbers), u1_struct_0(A))) &  (v1_funct_2(D, k2_zfmisc_1(k9_funct_2(B, k4_numbers), u1_struct_0(A)), k9_funct_2(B, k4_numbers)) &  (v1_funcop_1(D) &  (v2_funcop_1(D) &  (v13_aofa_000(D, A, k9_funct_2(B, k4_numbers)) &  (v14_aofa_000(D, A, k9_funct_2(B, k4_numbers)) & v1_aofa_i00(D, A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc3_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m2_aofa_i00(E, A, B, C, D) & m3_aofa_i00(F, A, B, C, D)) ) ) ) )  => v15_aofa_000(k44_aofa_i00(A, B, C, D, E, F), A)) ) ).
fof(t1_aofa_i00, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ~ ( ( ~ (D=E)  &  ( ~ (E=F)  &  ( ~ (F=D)  &  (! [G] :  ( (v1_relat_1(G) & v1_funct_1(G))  =>  ~ ( (k1_funct_1(G, D)=A &  (k1_funct_1(G, E)=B & k1_funct_1(G, F)=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_aofa_i00, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_funct_1(A))  =>  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, A) =>  (r2_tarski(D, k1_aofa_i00(A, B, C)) <=>  ~ (k1_funct_1(D, B)=C) ) ) ) ) ) ) ) ).
fof(d2_aofa_i00, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k9_funct_2(A, k4_numbers), B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, k4_numbers), B), C)))) )  =>  (! [E] :  (m1_subset_1(E, A) => m1_aofa_i00(E, A, B, C, D)) ) ) ) ) ) ) ).
fof(d3_aofa_i00, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) & v1_funct_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k4_numbers) & v1_funct_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k4_numbers) & v1_funct_1(C)) )  =>  (C=k2_aofa_i00(A, B) <=>  (k9_xtuple_0(C)=k3_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)) &  (! [D] :  (r2_hidden(D, k9_xtuple_0(C)) => k1_funct_1(C, D)=k4_int_1(k1_funct_1(A, D), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ).
fof(d4_aofa_i00, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) & v1_funct_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k4_numbers) & v1_funct_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k4_numbers) & v1_funct_1(C)) )  =>  (C=k3_aofa_i00(A, B) <=>  (k9_xtuple_0(C)=k3_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)) &  (! [D] :  (r2_hidden(D, k9_xtuple_0(C)) => k1_funct_1(C, D)=k5_int_1(k1_funct_1(A, D), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ).
fof(d5_aofa_i00, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) & v1_funct_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k4_numbers) & v1_funct_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k4_numbers) & v1_funct_1(C)) )  =>  (C=k4_aofa_i00(A, B) <=>  (k9_xtuple_0(C)=k3_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)) &  (! [D] :  (r2_hidden(D, k9_xtuple_0(C)) => k1_funct_1(C, D)=k5_xxreal_0(k1_funct_1(A, D), k1_funct_1(B, D), k5_numbers, 1)) ) ) ) ) ) ) ) ) ) ).
fof(d6_aofa_i00, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) & v1_funct_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k4_numbers) & v1_funct_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k4_numbers) & v1_funct_1(C)) )  =>  (C=k5_aofa_i00(A, B) <=>  (k9_xtuple_0(C)=k3_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)) &  (! [D] :  (r2_hidden(D, k9_xtuple_0(C)) => k1_funct_1(C, D)=k5_xxreal_0(k1_funct_1(A, D), k1_funct_1(B, D), 1, k5_numbers)) ) ) ) ) ) ) ) ) ) ).
fof(d7_aofa_i00, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) & v1_funct_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k4_numbers) & v1_funct_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k4_numbers) & v1_funct_1(C)) )  =>  (C=k6_aofa_i00(A, B) <=>  (k9_xtuple_0(C)=k3_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)) &  (! [D] :  (r2_hidden(D, k9_xtuple_0(C)) => k1_funct_1(C, D)=k16_funcop_1(k4_ordinal1, k1_funct_1(A, D), k1_funct_1(B, D), 1, k5_numbers)) ) ) ) ) ) ) ) ) ) ).
fof(d8_aofa_i00, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) )  =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k4_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) )  =>  (D=k7_aofa_i00(A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) => k3_funct_2(A, k4_numbers, D, E)=k2_xcmplx_0(k3_funct_2(A, k4_numbers, B, E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_aofa_i00, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) )  =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k4_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) )  =>  (D=k8_aofa_i00(A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) => k3_funct_2(A, k4_numbers, D, E)=k6_xcmplx_0(k3_funct_2(A, k4_numbers, B, E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_aofa_i00, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) )  =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k4_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) )  =>  (D=k9_aofa_i00(A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) => k3_funct_2(A, k4_numbers, D, E)=k3_xcmplx_0(k3_funct_2(A, k4_numbers, B, E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_aofa_i00, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k4_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k4_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) )  =>  (D=k15_aofa_i00(A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) => k3_funct_2(A, k4_numbers, D, E)=k6_xcmplx_0(k3_funct_2(A, k4_numbers, B, E), k3_funct_2(A, k4_numbers, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_aofa_i00, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k4_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k4_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) )  =>  (D=k16_aofa_i00(A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) => k3_funct_2(A, k4_numbers, D, E)=k2_xcmplx_0(k3_funct_2(A, k4_numbers, B, E), k3_funct_2(A, k4_numbers, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_aofa_i00, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (D=k17_aofa_i00(A, B, C) <=>  ( (? [E] :  ( (! [F] :  (r2_tarski(F, E) <=>  (? [G] :  ( (v1_relat_1(G) & v1_funct_1(G))  &  (r2_tarski(G, k9_xtuple_0(B)) & r2_tarski(F, k10_xtuple_0(G))) ) ) ) )  &  (! [F] :  (r2_tarski(F, k9_xtuple_0(D)) <=>  (r2_tarski(F, k1_funct_2(A, E)) &  (? [G] :  ( (v1_relat_1(G) & v1_funct_1(G))  &  (F=G & r2_tarski(k3_relat_1(C, G), k9_xtuple_0(B))) ) ) ) ) ) ) )  &  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (r2_tarski(E, k9_xtuple_0(D)) => k1_funct_1(D, E)=k1_funct_1(B, k3_relat_1(C, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_aofa_i00, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_tarski(k10_xtuple_0(C), k9_xtuple_0(B)) => k3_relat_1(C, k1_funct_4(A, B))=k3_relat_1(C, B)) ) ) ) ) ) ) ).
fof(t4_aofa_i00, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v2_funct_1(E) =>  (! [F] :  (m1_subset_1(F, C) =>  (v1_funct_1(k1_funct_4(k8_funcop_1(C, B, F), k3_relat_1(k2_funct_1(E), D))) &  (v1_funct_2(k1_funct_4(k8_funcop_1(C, B, F), k3_relat_1(k2_funct_1(E), D)), B, C) & m1_subset_1(k1_funct_4(k8_funcop_1(C, B, F), k3_relat_1(k2_funct_1(E), D)), k1_zfmisc_1(k2_zfmisc_1(B, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_aofa_i00, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  ( (k9_xtuple_0(D)=k9_xtuple_0(E) & k9_xtuple_0(D)=k9_funct_2(B, C))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, B, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  ( (v2_funct_1(F) & k17_aofa_i00(A, D, F)=k17_aofa_i00(A, E, F))  => D=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_aofa_i00, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (v1_funct_1(B) &  (v2_funct_1(B) &  (v1_funct_2(B, A, k1_card_1(A)) &  (v2_funct_2(B, k1_card_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_card_1(A))))) ) ) )  <=>  (k9_xtuple_0(B)=A &  (k10_xtuple_0(B)=k1_card_1(A) & v2_funct_1(B)) ) ) ) ) ) ).
fof(t7_aofa_i00, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (v1_funct_1(B) &  (v2_funct_1(B) &  (v1_funct_2(B, k1_card_1(A), A) &  (v2_funct_2(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_card_1(A), A)))) ) ) )  <=>  (k9_xtuple_0(B)=k1_card_1(A) &  (k10_xtuple_0(B)=A & v2_funct_1(B)) ) ) ) ) ) ).
fof(t8_aofa_i00, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v2_funct_1(D) &  (v1_funct_2(D, A, k1_card_1(A)) &  (v2_funct_2(D, k1_card_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_card_1(A))))) ) ) )  =>  (v1_funct_1(k14_funct_7(A, k1_card_1(A), k14_funct_7(A, k1_card_1(A), D, B, k3_funct_2(A, k1_card_1(A), D, C)), C, k3_funct_2(A, k1_card_1(A), D, B))) &  (v2_funct_1(k14_funct_7(A, k1_card_1(A), k14_funct_7(A, k1_card_1(A), D, B, k3_funct_2(A, k1_card_1(A), D, C)), C, k3_funct_2(A, k1_card_1(A), D, B))) &  (v1_funct_2(k14_funct_7(A, k1_card_1(A), k14_funct_7(A, k1_card_1(A), D, B, k3_funct_2(A, k1_card_1(A), D, C)), C, k3_funct_2(A, k1_card_1(A), D, B)), A, k1_card_1(A)) &  (v2_funct_2(k14_funct_7(A, k1_card_1(A), k14_funct_7(A, k1_card_1(A), D, B, k3_funct_2(A, k1_card_1(A), D, C)), C, k3_funct_2(A, k1_card_1(A), D, B)), k1_card_1(A)) & m1_subset_1(k14_funct_7(A, k1_card_1(A), k14_funct_7(A, k1_card_1(A), D, B, k3_funct_2(A, k1_card_1(A), D, C)), C, k3_funct_2(A, k1_card_1(A), D, B)), k1_zfmisc_1(k2_zfmisc_1(A, k1_card_1(A))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_aofa_i00, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (? [C] :  ( (v1_funct_1(C) &  (v2_funct_1(C) &  (v1_funct_2(C, A, k1_card_1(A)) &  (v2_funct_2(C, k1_card_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_card_1(A))))) ) ) )  & k3_funct_2(A, k1_card_1(A), C, B)=k5_numbers) ) ) ) ) ) ).
fof(t10_aofa_i00, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v2_funct_1(B) &  (v1_funct_2(B, k1_card_1(A), A) &  (v2_funct_2(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_card_1(A), A)))) ) ) )  => r2_tarski(k1_funct_1(B, k5_numbers), A)) ) ) ) ).
fof(t11_aofa_i00, axiom,  (! [A] :  (v4_card_3(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v2_funct_1(B) &  (v1_funct_2(B, A, k1_card_1(A)) &  (v2_funct_2(B, k1_card_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_card_1(A))))) ) ) )  => r1_tarski(k2_relset_1(k1_card_1(A), B), k4_ordinal1)) ) ) ) ).
fof(t12_aofa_i00, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k2_power(k5_numbers, k2_xcmplx_0(A, B))=k3_xcmplx_0(k2_power(k5_numbers, A), k2_power(k5_numbers, B))) ) ) ) ).
fof(t13_aofa_i00, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k2_power(k2_power(A, B), C)=k2_power(A, k3_xcmplx_0(B, C))) ) ) ) ) ) ).
fof(d14_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k9_funct_2(C, k4_numbers))) =>  (! [E] :  (m1_aofa_000(E, A, k9_funct_2(C, k4_numbers), D) =>  (r1_aofa_i00(A, B, C, D, E) <=>  (r2_tarski(B, k18_aofa_000(A)) &  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k9_funct_2(C, k4_numbers), C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(C, k4_numbers), C)))) )  &  (? [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k9_funct_2(C, k4_numbers), k4_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(C, k4_numbers), k4_numbers)))) )  &  (! [H] :  (m2_funct_2(H, C, k4_numbers, k9_funct_2(C, k4_numbers)) => k2_binop_1(k9_funct_2(C, k4_numbers), u1_struct_0(A), k9_funct_2(C, k4_numbers), E, H, B)=k14_funct_7(C, k4_numbers, H, k3_funct_2(k9_funct_2(C, k4_numbers), C, F, H), k3_funct_2(k9_funct_2(C, k4_numbers), k4_numbers, G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  (m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k9_funct_2(B, k4_numbers), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(B, k4_numbers), B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k9_funct_2(B, k4_numbers), k4_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(B, k4_numbers), k4_numbers)))) )  =>  (r2_aofa_i00(A, B, C, D, E, F) <=>  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  (r2_tarski(G, k18_aofa_000(A)) &  (! [H] :  (m2_funct_2(H, B, k4_numbers, k9_funct_2(B, k4_numbers)) => k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), D, H, G)=k14_funct_7(B, k4_numbers, H, k3_funct_2(k9_funct_2(B, k4_numbers), B, E, H), k3_funct_2(k9_funct_2(B, k4_numbers), k4_numbers, F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  (m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C) =>  ( (? [E] :  (m1_subset_1(E, u1_struct_0(A)) & r1_aofa_i00(A, E, B, C, D)) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k9_funct_2(B, k4_numbers), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(B, k4_numbers), B)))) )  =>  (m2_aofa_i00(E, A, B, C, D) <=>  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k9_funct_2(B, k4_numbers), k4_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(B, k4_numbers), k4_numbers)))) )  & r2_aofa_i00(A, B, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  (m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C) =>  ( (? [E] :  (m1_subset_1(E, u1_struct_0(A)) & r1_aofa_i00(A, E, B, C, D)) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k9_funct_2(B, k4_numbers), k4_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(B, k4_numbers), k4_numbers)))) )  =>  (m3_aofa_i00(E, A, B, C, D) <=>  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k9_funct_2(B, k4_numbers), B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(B, k4_numbers), B)))) )  & r2_aofa_i00(A, B, C, D, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_aofa_i00, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k9_funct_2(A, k4_numbers), k4_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, k4_numbers), k4_numbers)))) )  =>  (C=k22_aofa_i00(A, B) <=>  (! [D] :  (m2_funct_2(D, A, k4_numbers, k9_funct_2(A, k4_numbers)) => k3_funct_2(k9_funct_2(A, k4_numbers), k4_numbers, C, D)=k21_aofa_i00(A, k4_numbers, D, B)) ) ) ) ) ) ) ) ) ).
fof(d19_aofa_i00, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k9_funct_2(A, k4_numbers), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, k4_numbers), A)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k9_funct_2(A, k4_numbers), k4_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, k4_numbers), k4_numbers)))) )  =>  (C=k23_aofa_i00(A, B) <=>  (! [D] :  (m2_funct_2(D, A, k4_numbers, k9_funct_2(A, k4_numbers)) => k3_funct_2(k9_funct_2(A, k4_numbers), k4_numbers, C, D)=k21_aofa_i00(A, k4_numbers, D, k3_funct_2(k9_funct_2(A, k4_numbers), A, B, D))) ) ) ) ) ) ) ) ) ).
fof(d20_aofa_i00, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) => k24_aofa_i00(A, B)=k8_funcop_1(A, k9_funct_2(A, k4_numbers), B)) ) ) ) ).
fof(t14_aofa_i00, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) => r2_funct_2(k9_funct_2(A, k4_numbers), k4_numbers, k22_aofa_i00(A, B), k23_aofa_i00(A, k24_aofa_i00(A, B)))) ) ) ) ).
fof(d21_aofa_i00, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v1_int_1(B) => k25_aofa_i00(A, B)=k7_funcop_1(k9_funct_2(A, k4_numbers), B)) ) ) ) ).
fof(t15_aofa_i00, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k9_funct_2(A, k4_numbers), k4_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, k4_numbers), k4_numbers)))) )  =>  (r2_funct_2(k9_funct_2(A, k4_numbers), k4_numbers, k16_aofa_i00(k9_funct_2(A, k4_numbers), B, k25_aofa_i00(A, k5_numbers)), B) & r2_funct_2(k9_funct_2(A, k4_numbers), k4_numbers, k22_valued_1(k9_funct_2(A, k4_numbers), k4_numbers, k4_numbers, B, k25_aofa_i00(A, 1)), B)) ) ) ) ) ).
fof(d22_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  (m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C) =>  (v1_aofa_i00(D, A, B, C) <=>  ( (! [E] :  (m2_aofa_i00(E, A, B, C, D) =>  (! [F] :  (m3_aofa_i00(F, A, B, C, D) => r2_aofa_i00(A, B, C, D, E, F)) ) ) )  &  ( (! [E] :  (v1_int_1(E) => m3_aofa_i00(k25_aofa_i00(B, E), A, B, C, D)) )  &  ( (! [E] :  (m2_aofa_i00(E, A, B, C, D) => m3_aofa_i00(k23_aofa_i00(B, E), A, B, C, D)) )  &  ( (! [E] :  (m1_subset_1(E, B) => m2_aofa_i00(k24_aofa_i00(B, E), A, B, C, D)) )  &  ( (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_numbers, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_numbers, B)))) )  &  (v2_funct_1(k2_partfun1(k4_numbers, B, E, k1_card_1(B))) &  (! [F] :  (m3_aofa_i00(F, A, B, C, D) => m2_aofa_i00(k1_partfun1(k9_funct_2(B, k4_numbers), k4_numbers, k4_numbers, B, F, E), A, B, C, D)) ) ) ) )  &  ( (! [E] :  (m3_aofa_i00(E, A, B, C, D) => m3_aofa_i00(k34_valued_1(k9_funct_2(B, k4_numbers), k4_numbers, E), A, B, C, D)) )  &  (! [E] :  (m3_aofa_i00(E, A, B, C, D) =>  (! [F] :  (m3_aofa_i00(F, A, B, C, D) =>  (m3_aofa_i00(k22_valued_1(k9_funct_2(B, k4_numbers), k4_numbers, k4_numbers, E, F), A, B, C, D) &  (m3_aofa_i00(k16_aofa_i00(k9_funct_2(B, k4_numbers), E, F), A, B, C, D) &  (m3_aofa_i00(k10_aofa_i00(k9_funct_2(B, k4_numbers), E, F), A, B, C, D) &  (m3_aofa_i00(k11_aofa_i00(k9_funct_2(B, k4_numbers), E, F), A, B, C, D) &  (m3_aofa_i00(k12_aofa_i00(k9_funct_2(B, k4_numbers), E, F), A, B, C, D) & m3_aofa_i00(k13_aofa_i00(k9_funct_2(B, k4_numbers), E, F), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d23_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (v2_aofa_i00(A) <=>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (? [D] :  (m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C) & v1_aofa_i00(D, A, B, C)) ) ) ) ) ) ) ) ) ).
fof(d24_aofa_i00, axiom, k26_aofa_i00=k2_zfmisc_1(k9_funct_2(k9_funct_2(k4_ordinal1, k4_numbers), k4_ordinal1), k9_funct_2(k9_funct_2(k4_ordinal1, k4_numbers), k4_numbers))).
fof(d25_aofa_i00, axiom,  (! [A] :  (m1_aofa_000(A, k7_freealg(k19_aofa_000, k26_aofa_i00), k9_funct_2(k4_ordinal1, k4_numbers), k1_aofa_i00(k9_funct_2(k4_ordinal1, k4_numbers), k5_numbers, k5_numbers)) =>  (m4_aofa_i00(A) <=>  (! [B] :  (m2_funct_2(B, k4_ordinal1, k4_numbers, k9_funct_2(k4_ordinal1, k4_numbers)) =>  (! [C] :  (m2_funct_2(C, k9_funct_2(k4_ordinal1, k4_numbers), k4_ordinal1, k9_funct_2(k9_funct_2(k4_ordinal1, k4_numbers), k4_ordinal1)) =>  (! [D] :  (m2_funct_2(D, k9_funct_2(k4_ordinal1, k4_numbers), k4_numbers, k9_funct_2(k9_funct_2(k4_ordinal1, k4_numbers), k4_numbers)) => k1_binop_1(A, B, k1_trees_4(k4_tarski(C, D)))=k14_funct_7(k4_ordinal1, k4_numbers, B, k21_aofa_i00(k9_funct_2(k4_ordinal1, k4_numbers), k4_ordinal1, C, B), k21_aofa_i00(k9_funct_2(k4_ordinal1, k4_numbers), k4_numbers, D, B))) ) ) ) ) ) ) ) ) ).
fof(d26_aofa_i00, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k27_aofa_i00(A)=k2_zfmisc_1(k9_funct_2(k9_funct_2(A, k4_numbers), A), k9_funct_2(k9_funct_2(A, k4_numbers), k4_numbers))) ) ).
fof(d27_aofa_i00, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_aofa_000(C, k7_freealg(k19_aofa_000, k27_aofa_i00(A)), k9_funct_2(A, k4_numbers), k1_aofa_i00(k9_funct_2(A, k4_numbers), B, k5_numbers)) =>  (m5_aofa_i00(C, A, B) <=>  (! [D] :  (m2_funct_2(D, A, k4_numbers, k9_funct_2(A, k4_numbers)) =>  (! [E] :  (m2_funct_2(E, k9_funct_2(A, k4_numbers), A, k9_funct_2(k9_funct_2(A, k4_numbers), A)) =>  (! [F] :  (m2_funct_2(F, k9_funct_2(A, k4_numbers), k4_numbers, k9_funct_2(k9_funct_2(A, k4_numbers), k4_numbers)) => k1_binop_1(C, D, k1_trees_4(k4_tarski(E, F)))=k14_funct_7(A, k4_numbers, D, k21_aofa_i00(k9_funct_2(A, k4_numbers), A, E, D), k21_aofa_i00(k9_funct_2(A, k4_numbers), k4_numbers, F, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d28_aofa_i00, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(A, k4_numbers))) =>  (! [C] :  ( (v1_funct_1(C) &  (v2_funct_1(C) &  (v1_funct_2(C, A, k1_card_1(A)) &  (v2_funct_2(C, k1_card_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_card_1(A))))) ) ) )  =>  (r1_tarski(k2_relset_1(k1_card_1(A), C), k4_ordinal1) =>  (! [D] :  (m1_aofa_000(D, k7_freealg(k19_aofa_000, k26_aofa_i00), k9_funct_2(A, k4_numbers), B) =>  (m6_aofa_i00(D, A, B, C) <=>  (! [E] :  (m2_funct_2(E, A, k4_numbers, k9_funct_2(A, k4_numbers)) =>  (! [F] :  (m2_funct_2(F, k9_funct_2(A, k4_numbers), A, k9_funct_2(k9_funct_2(A, k4_numbers), A)) =>  (! [G] :  (m2_funct_2(G, k9_funct_2(A, k4_numbers), k4_numbers, k9_funct_2(k9_funct_2(A, k4_numbers), k4_numbers)) => k1_binop_1(D, E, k1_trees_4(k4_tarski(k17_aofa_i00(k4_ordinal1, k1_partfun1(k9_funct_2(A, k4_numbers), A, A, k1_card_1(A), F, C), C), k17_aofa_i00(k4_ordinal1, G, C))))=k14_funct_7(A, k4_numbers, E, k21_aofa_i00(k9_funct_2(A, k4_numbers), A, F, E), k21_aofa_i00(k9_funct_2(A, k4_numbers), k4_numbers, G, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_aofa_i00, axiom,  (! [A] :  (m4_aofa_i00(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k9_funct_2(k4_ordinal1, k4_numbers), k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(k4_ordinal1, k4_numbers), k4_ordinal1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k9_funct_2(k4_ordinal1, k4_numbers), k4_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(k4_ordinal1, k4_numbers), k4_numbers)))) )  => r2_aofa_i00(k7_freealg(k19_aofa_000, k26_aofa_i00), k4_ordinal1, k1_aofa_i00(k9_funct_2(k4_ordinal1, k4_numbers), k5_numbers, k5_numbers), A, B, C)) ) ) ) ) ) ).
fof(t17_aofa_i00, axiom,  (! [A] :  (m4_aofa_i00(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k9_funct_2(k4_ordinal1, k4_numbers), k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(k4_ordinal1, k4_numbers), k4_ordinal1)))) )  => m2_aofa_i00(B, k7_freealg(k19_aofa_000, k26_aofa_i00), k4_ordinal1, k1_aofa_i00(k9_funct_2(k4_ordinal1, k4_numbers), k5_numbers, k5_numbers), A)) ) ) ) ).
fof(t18_aofa_i00, axiom,  (! [A] :  (m4_aofa_i00(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k9_funct_2(k4_ordinal1, k4_numbers), k4_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(k4_ordinal1, k4_numbers), k4_numbers)))) )  => m3_aofa_i00(B, k7_freealg(k19_aofa_000, k26_aofa_i00), k4_ordinal1, k1_aofa_i00(k9_funct_2(k4_ordinal1, k4_numbers), k5_numbers, k5_numbers), A)) ) ) ) ).
fof(t19_aofa_i00, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_card_3(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(A, k4_numbers))) =>  (! [C] :  ( (v1_funct_1(C) &  (v2_funct_1(C) &  (v1_funct_2(C, A, k1_card_1(A)) &  (v2_funct_2(C, k1_card_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_card_1(A))))) ) ) )  =>  (! [D] :  (m6_aofa_i00(D, A, B, C) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k9_funct_2(A, k4_numbers), A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, k4_numbers), A)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k9_funct_2(A, k4_numbers), k4_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, k4_numbers), k4_numbers)))) )  => r2_aofa_i00(k7_freealg(k19_aofa_000, k26_aofa_i00), A, B, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_aofa_i00, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_card_3(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(A, k4_numbers))) =>  (! [C] :  ( (v1_funct_1(C) &  (v2_funct_1(C) &  (v1_funct_2(C, A, k1_card_1(A)) &  (v2_funct_2(C, k1_card_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_card_1(A))))) ) ) )  =>  (! [D] :  (m6_aofa_i00(D, A, B, C) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k9_funct_2(A, k4_numbers), A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, k4_numbers), A)))) )  => m2_aofa_i00(E, k7_freealg(k19_aofa_000, k26_aofa_i00), A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t21_aofa_i00, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_card_3(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(A, k4_numbers))) =>  (! [C] :  ( (v1_funct_1(C) &  (v2_funct_1(C) &  (v1_funct_2(C, A, k1_card_1(A)) &  (v2_funct_2(C, k1_card_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_card_1(A))))) ) ) )  =>  (! [D] :  (m6_aofa_i00(D, A, B, C) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k9_funct_2(A, k4_numbers), k4_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, k4_numbers), k4_numbers)))) )  => m3_aofa_i00(E, k7_freealg(k19_aofa_000, k26_aofa_i00), A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(d29_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m3_aofa_i00(E, A, B, C, D) =>  (! [F] :  (m3_aofa_i00(F, A, B, C, D) =>  (! [G] :  (m3_aofa_i00(G, A, B, C, D) =>  (G=k35_aofa_i00(A, B, C, D, E, F) <=>  (! [H] :  (m2_funct_2(H, B, k4_numbers, k9_funct_2(B, k4_numbers)) => k3_funct_2(k9_funct_2(B, k4_numbers), k4_numbers, G, H)=k4_int_1(k3_funct_2(k9_funct_2(B, k4_numbers), k4_numbers, E, H), k3_funct_2(k9_funct_2(B, k4_numbers), k4_numbers, F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d30_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m3_aofa_i00(E, A, B, C, D) =>  (! [F] :  (m3_aofa_i00(F, A, B, C, D) =>  (! [G] :  (m3_aofa_i00(G, A, B, C, D) =>  (G=k36_aofa_i00(A, B, C, D, E, F) <=>  (! [H] :  (m2_funct_2(H, B, k4_numbers, k9_funct_2(B, k4_numbers)) => k3_funct_2(k9_funct_2(B, k4_numbers), k4_numbers, G, H)=k5_int_1(k3_funct_2(k9_funct_2(B, k4_numbers), k4_numbers, E, H), k3_funct_2(k9_funct_2(B, k4_numbers), k4_numbers, F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d31_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m3_aofa_i00(E, A, B, C, D) =>  (! [F] :  (m3_aofa_i00(F, A, B, C, D) =>  (! [G] :  (m3_aofa_i00(G, A, B, C, D) =>  (G=k37_aofa_i00(A, B, C, D, E, F) <=>  (! [H] :  (m2_funct_2(H, B, k4_numbers, k9_funct_2(B, k4_numbers)) => k3_funct_2(k9_funct_2(B, k4_numbers), k4_numbers, G, H)=k5_xxreal_0(k3_funct_2(k9_funct_2(B, k4_numbers), k4_numbers, E, H), k3_funct_2(k9_funct_2(B, k4_numbers), k4_numbers, F, H), k5_numbers, 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d32_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m3_aofa_i00(E, A, B, C, D) =>  (! [F] :  (m3_aofa_i00(F, A, B, C, D) =>  (! [G] :  (m3_aofa_i00(G, A, B, C, D) =>  (G=k38_aofa_i00(A, B, C, D, E, F) <=>  (! [H] :  (m2_funct_2(H, B, k4_numbers, k9_funct_2(B, k4_numbers)) => k3_funct_2(k9_funct_2(B, k4_numbers), k4_numbers, G, H)=k5_xxreal_0(k3_funct_2(k9_funct_2(B, k4_numbers), k4_numbers, E, H), k3_funct_2(k9_funct_2(B, k4_numbers), k4_numbers, F, H), 1, k5_numbers)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d33_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m3_aofa_i00(E, A, B, C, D) =>  (! [F] :  (m3_aofa_i00(F, A, B, C, D) =>  (! [G] :  (m3_aofa_i00(G, A, B, C, D) =>  (G=k39_aofa_i00(A, B, C, D, E, F) <=>  (! [H] :  (m2_funct_2(H, B, k4_numbers, k9_funct_2(B, k4_numbers)) => k3_funct_2(k9_funct_2(B, k4_numbers), k4_numbers, G, H)=k16_funcop_1(k4_ordinal1, k3_funct_2(k9_funct_2(B, k4_numbers), k4_numbers, E, H), k3_funct_2(k9_funct_2(B, k4_numbers), k4_numbers, F, H), 1, k5_numbers)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d34_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m2_aofa_i00(E, A, B, C, D) => k40_aofa_i00(A, B, C, D, E)=k23_aofa_i00(B, E)) ) ) ) ) ) ) ) ) ) ).
fof(d35_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m1_subset_1(E, B) => k41_aofa_i00(A, B, C, D, E)=k24_aofa_i00(B, E)) ) ) ) ) ) ) ) ) ) ).
fof(d36_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) => k42_aofa_i00(A, B, C, D, E)=k40_aofa_i00(A, B, C, D, k41_aofa_i00(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t22_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [F] :  (m2_funct_2(F, B, k4_numbers, k9_funct_2(B, k4_numbers)) => k3_funct_2(k9_funct_2(B, k4_numbers), k4_numbers, k42_aofa_i00(A, B, C, D, E), F)=k21_aofa_i00(B, k4_numbers, F, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d37_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (v1_int_1(E) => k43_aofa_i00(A, B, C, D, E)=k25_aofa_i00(B, E)) ) ) ) ) ) ) ) ) ) ).
fof(t23_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m2_aofa_i00(E, A, B, C, D) =>  (! [F] :  (m3_aofa_i00(F, A, B, C, D) => r2_tarski(k44_aofa_i00(A, B, C, D, E, F), k18_aofa_000(A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d39_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m2_aofa_i00(E, A, B, C, D) =>  (! [F] :  (m3_aofa_i00(F, A, B, C, D) => k45_aofa_i00(A, B, C, D, E, F)=k44_aofa_i00(A, B, C, D, E, k33_aofa_i00(A, B, C, D, k40_aofa_i00(A, B, C, D, E), F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d40_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m2_aofa_i00(E, A, B, C, D) =>  (! [F] :  (m3_aofa_i00(F, A, B, C, D) => k46_aofa_i00(A, B, C, D, E, F)=k44_aofa_i00(A, B, C, D, E, k34_aofa_i00(A, B, C, D, k40_aofa_i00(A, B, C, D, E), F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d41_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m1_subset_1(E, B) =>  (! [F] :  (m3_aofa_i00(F, A, B, C, D) => k47_aofa_i00(A, B, C, D, E, F)=k44_aofa_i00(A, B, C, D, k41_aofa_i00(A, B, C, D, E), F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d42_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m1_subset_1(E, B) =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) => k48_aofa_i00(A, B, C, D, E, F)=k47_aofa_i00(A, B, C, D, E, k42_aofa_i00(A, B, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d43_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m1_subset_1(E, B) =>  (! [F] :  (m2_aofa_i00(F, A, B, C, D) => k49_aofa_i00(A, B, C, D, E, F)=k47_aofa_i00(A, B, C, D, E, k40_aofa_i00(A, B, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d44_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m2_aofa_i00(E, A, B, C, D) =>  (! [F] :  (m2_aofa_i00(F, A, B, C, D) => k50_aofa_i00(A, B, C, D, E, F)=k44_aofa_i00(A, B, C, D, E, k40_aofa_i00(A, B, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d45_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [F] :  (v1_int_1(F) => k51_aofa_i00(A, B, C, D, E, F)=k47_aofa_i00(A, B, C, D, E, k43_aofa_i00(A, B, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d46_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m2_aofa_i00(E, A, B, C, D) =>  (! [F] :  (m2_aofa_i00(F, A, B, C, D) =>  (! [G] :  (m1_aofa_i00(G, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) => k52_aofa_i00(A, B, C, D, E, F, G)=k13_aofa_000(A, k13_aofa_000(A, k49_aofa_i00(A, B, C, D, G, E), k50_aofa_i00(A, B, C, D, E, F)), k44_aofa_i00(A, B, C, D, F, k42_aofa_i00(A, B, C, D, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d47_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [F] :  (m3_aofa_i00(F, A, B, C, D) => k53_aofa_i00(A, B, C, D, E, F)=k47_aofa_i00(A, B, C, D, E, k33_aofa_i00(A, B, C, D, k42_aofa_i00(A, B, C, D, E), F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d48_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [F] :  (m3_aofa_i00(F, A, B, C, D) => k54_aofa_i00(A, B, C, D, E, F)=k47_aofa_i00(A, B, C, D, E, k34_aofa_i00(A, B, C, D, k42_aofa_i00(A, B, C, D, E), F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d49_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [F] :  (m3_aofa_i00(F, A, B, C, D) => k55_aofa_i00(A, B, C, D, E, F)=k47_aofa_i00(A, B, C, D, E, k36_aofa_i00(A, B, C, D, k42_aofa_i00(A, B, C, D, E), F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d50_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [F] :  (m3_aofa_i00(F, A, B, C, D) => k56_aofa_i00(A, B, C, D, E, F)=k47_aofa_i00(A, B, C, D, E, k35_aofa_i00(A, B, C, D, k42_aofa_i00(A, B, C, D, E), F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d51_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [F] :  (v1_int_1(F) => k57_aofa_i00(A, B, C, D, E, F)=k47_aofa_i00(A, B, C, D, E, k29_aofa_i00(A, B, C, D, k42_aofa_i00(A, B, C, D, E), F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d52_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [F] :  (v1_int_1(F) => k58_aofa_i00(A, B, C, D, E, F)=k47_aofa_i00(A, B, C, D, E, k31_aofa_i00(A, B, C, D, k42_aofa_i00(A, B, C, D, E), F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d53_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [F] :  (v1_int_1(F) => k59_aofa_i00(A, B, C, D, E, F)=k47_aofa_i00(A, B, C, D, E, k36_aofa_i00(A, B, C, D, k42_aofa_i00(A, B, C, D, E), k43_aofa_i00(A, B, C, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d54_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [F] :  (v1_int_1(F) => k60_aofa_i00(A, B, C, D, E, F)=k47_aofa_i00(A, B, C, D, E, k35_aofa_i00(A, B, C, D, k42_aofa_i00(A, B, C, D, E), k43_aofa_i00(A, B, C, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d55_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [F] :  (v1_int_1(F) => k61_aofa_i00(A, B, C, D, E, F)=k35_aofa_i00(A, B, C, D, k42_aofa_i00(A, B, C, D, E), k43_aofa_i00(A, B, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d56_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m2_aofa_i00(E, A, B, C, D) =>  (! [F] :  (v1_int_1(F) => k62_aofa_i00(A, B, C, D, E, F)=k44_aofa_i00(A, B, C, D, E, k43_aofa_i00(A, B, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d57_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m2_aofa_i00(E, A, B, C, D) =>  (! [F] :  (v1_int_1(F) => k63_aofa_i00(A, B, C, D, E, F)=k44_aofa_i00(A, B, C, D, E, k29_aofa_i00(A, B, C, D, k40_aofa_i00(A, B, C, D, E), F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d58_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m2_aofa_i00(E, A, B, C, D) =>  (! [F] :  (v1_int_1(F) => k64_aofa_i00(A, B, C, D, E, F)=k44_aofa_i00(A, B, C, D, E, k31_aofa_i00(A, B, C, D, k40_aofa_i00(A, B, C, D, E), F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d59_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  =>  (! [E] :  (m3_aofa_i00(E, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D) => k65_aofa_i00(A, B, C, D, E)=k47_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, C, k36_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, E, k43_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, 2)))) ) ) ) ) ) ) ) ) ) ).
fof(d60_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  =>  (! [E] :  (m3_aofa_i00(E, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D) => k66_aofa_i00(A, B, C, D, E)=k47_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, C, k36_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, k29_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, E, 1), k43_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, 2)))) ) ) ) ) ) ) ) ) ) ).
fof(d61_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  =>  (! [E] :  (m3_aofa_i00(E, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D) =>  (! [F] :  (m3_aofa_i00(F, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D) => k67_aofa_i00(A, B, C, D, E, F)=k47_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, C, k37_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, E, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d62_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  =>  (! [E] :  (m3_aofa_i00(E, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D) =>  (! [F] :  (m3_aofa_i00(F, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D) => k68_aofa_i00(A, B, C, D, E, F)=k47_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, C, k38_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, E, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d63_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  =>  (! [E] :  (m3_aofa_i00(E, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D) =>  (! [F] :  (m3_aofa_i00(F, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D) => k69_aofa_i00(A, B, C, D, E, F)=k47_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, C, k39_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, E, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d64_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  =>  (! [E] :  (m2_aofa_i00(E, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D) =>  (! [F] :  (m2_aofa_i00(F, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D) => k70_aofa_i00(A, B, C, D, E, F)=k67_aofa_i00(A, B, C, D, k40_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, E), k40_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d65_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  =>  (! [E] :  (m2_aofa_i00(E, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D) =>  (! [F] :  (m2_aofa_i00(F, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D) => k71_aofa_i00(A, B, C, D, E, F)=k68_aofa_i00(A, B, C, D, k40_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, E), k40_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d66_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) => k72_aofa_i00(A, B, C, D, E)=k65_aofa_i00(A, B, C, D, k42_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, E))) ) ) ) ) ) ) ) ) ) ).
fof(d67_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) => k73_aofa_i00(A, B, C, D, E)=k66_aofa_i00(A, B, C, D, k42_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, E))) ) ) ) ) ) ) ) ) ) ).
fof(d68_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) => k74_aofa_i00(A, B, C, D, E, F)=k67_aofa_i00(A, B, C, D, k42_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, E), k42_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d69_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) => k75_aofa_i00(A, B, C, D, E, F)=k68_aofa_i00(A, B, C, D, k42_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, E), k42_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d70_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [F] :  (v1_int_1(F) => k76_aofa_i00(A, B, C, D, E, F)=k67_aofa_i00(A, B, C, D, k42_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, E), k43_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d71_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [F] :  (v1_int_1(F) => k77_aofa_i00(A, B, C, D, E, F)=k67_aofa_i00(A, B, C, D, k43_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, F), k42_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d72_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [F] :  (v1_int_1(F) => k78_aofa_i00(A, B, C, D, E, F)=k68_aofa_i00(A, B, C, D, k42_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, E), k43_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d73_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [F] :  (v1_int_1(F) => k79_aofa_i00(A, B, C, D, E, F)=k68_aofa_i00(A, B, C, D, k43_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, F), k42_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d74_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [F] :  (v1_int_1(F) => k80_aofa_i00(A, B, C, D, E, F)=k35_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, k42_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, E), k43_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d75_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) => k81_aofa_i00(A, B, C, D, E, F)=k53_aofa_i00(A, B, C, D, E, k42_aofa_i00(A, B, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d76_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) => k82_aofa_i00(A, B, C, D, E, F)=k54_aofa_i00(A, B, C, D, E, k42_aofa_i00(A, B, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d77_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) => k83_aofa_i00(A, B, C, D, E, F)=k47_aofa_i00(A, B, C, D, E, k36_aofa_i00(A, B, C, D, k42_aofa_i00(A, B, C, D, E), k42_aofa_i00(A, B, C, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d78_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) => k84_aofa_i00(A, B, C, D, E, F)=k47_aofa_i00(A, B, C, D, E, k35_aofa_i00(A, B, C, D, k42_aofa_i00(A, B, C, D, E), k42_aofa_i00(A, B, C, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d79_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) => k85_aofa_i00(A, B, C, D, E, F)=k33_aofa_i00(A, B, C, D, k42_aofa_i00(A, B, C, D, E), k42_aofa_i00(A, B, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d80_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) => k86_aofa_i00(A, B, C, D, E, F)=k34_aofa_i00(A, B, C, D, k42_aofa_i00(A, B, C, D, E), k42_aofa_i00(A, B, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d81_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) => k87_aofa_i00(A, B, C, D, E, F)=k36_aofa_i00(A, B, C, D, k42_aofa_i00(A, B, C, D, E), k42_aofa_i00(A, B, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d82_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) => k88_aofa_i00(A, B, C, D, E, F)=k35_aofa_i00(A, B, C, D, k42_aofa_i00(A, B, C, D, E), k42_aofa_i00(A, B, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m2_funct_2(C, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [E] :  ( (v1_aofa_i00(E, A, B, D) & m1_aofa_000(E, A, k9_funct_2(B, k4_numbers), D))  =>  (! [F] :  (m2_aofa_i00(F, A, B, D, E) =>  (! [G] :  (m3_aofa_i00(G, A, B, D, E) =>  (k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k44_aofa_i00(A, B, D, E, F, G)), k3_funct_2(k9_funct_2(B, k4_numbers), B, F, C))=k3_funct_2(k9_funct_2(B, k4_numbers), k4_numbers, G, C) &  (! [H] :  (m1_subset_1(H, B) =>  ( ~ (H=k3_funct_2(k9_funct_2(B, k4_numbers), B, F, C))  => k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k44_aofa_i00(A, B, D, E, F, G)), H)=k21_aofa_i00(B, k4_numbers, C, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m2_funct_2(C, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [E] :  ( (v1_aofa_i00(E, A, B, D) & m1_aofa_000(E, A, k9_funct_2(B, k4_numbers), D))  =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), E) =>  (! [G] :  (v1_int_1(G) =>  (k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k51_aofa_i00(A, B, D, E, F, G)), F)=G &  (! [H] :  (m1_subset_1(H, B) =>  ( ~ (H=F)  => k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k51_aofa_i00(A, B, D, E, F, G)), H)=k21_aofa_i00(B, k4_numbers, C, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m2_funct_2(C, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [E] :  ( (v1_aofa_i00(E, A, B, D) & m1_aofa_000(E, A, k9_funct_2(B, k4_numbers), D))  =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), E) =>  (! [G] :  (m3_aofa_i00(G, A, B, D, E) =>  (k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k47_aofa_i00(A, B, D, E, F, G)), F)=k3_funct_2(k9_funct_2(B, k4_numbers), k4_numbers, G, C) &  (! [H] :  (m1_subset_1(H, B) =>  ( ~ (H=F)  => k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k47_aofa_i00(A, B, D, E, F, G)), H)=k21_aofa_i00(B, k4_numbers, C, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m2_funct_2(C, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [E] :  ( (v1_aofa_i00(E, A, B, D) & m1_aofa_000(E, A, k9_funct_2(B, k4_numbers), D))  =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), E) =>  (! [G] :  (m1_aofa_i00(G, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), E) =>  (k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k48_aofa_i00(A, B, D, E, F, G)), F)=k21_aofa_i00(B, k4_numbers, C, G) &  (! [H] :  (m1_subset_1(H, B) =>  ( ~ (H=F)  => k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k48_aofa_i00(A, B, D, E, F, G)), H)=k21_aofa_i00(B, k4_numbers, C, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m2_funct_2(C, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [E] :  ( (v1_aofa_i00(E, A, B, D) & m1_aofa_000(E, A, k9_funct_2(B, k4_numbers), D))  =>  (! [F] :  (v1_int_1(F) =>  (! [G] :  (m1_aofa_i00(G, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), E) =>  (k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k57_aofa_i00(A, B, D, E, G, F)), G)=k2_xcmplx_0(k21_aofa_i00(B, k4_numbers, C, G), F) &  (! [H] :  (m1_subset_1(H, B) =>  ( ~ (H=G)  => k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k57_aofa_i00(A, B, D, E, G, F)), H)=k21_aofa_i00(B, k4_numbers, C, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m2_funct_2(C, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [E] :  ( (v1_aofa_i00(E, A, B, D) & m1_aofa_000(E, A, k9_funct_2(B, k4_numbers), D))  =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), E) =>  (! [G] :  (m3_aofa_i00(G, A, B, D, E) =>  (k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k53_aofa_i00(A, B, D, E, F, G)), F)=k2_xcmplx_0(k21_aofa_i00(B, k4_numbers, C, F), k3_funct_2(k9_funct_2(B, k4_numbers), k4_numbers, G, C)) &  (! [H] :  (m1_subset_1(H, B) =>  ( ~ (H=F)  => k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k53_aofa_i00(A, B, D, E, F, G)), H)=k21_aofa_i00(B, k4_numbers, C, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m2_funct_2(C, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [E] :  ( (v1_aofa_i00(E, A, B, D) & m1_aofa_000(E, A, k9_funct_2(B, k4_numbers), D))  =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), E) =>  (! [G] :  (m1_aofa_i00(G, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), E) =>  (k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k81_aofa_i00(A, B, D, E, F, G)), F)=k2_xcmplx_0(k21_aofa_i00(B, k4_numbers, C, F), k21_aofa_i00(B, k4_numbers, C, G)) &  (! [H] :  (m1_subset_1(H, B) =>  ( ~ (H=F)  => k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k81_aofa_i00(A, B, D, E, F, G)), H)=k21_aofa_i00(B, k4_numbers, C, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m2_funct_2(C, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [E] :  ( (v1_aofa_i00(E, A, B, D) & m1_aofa_000(E, A, k9_funct_2(B, k4_numbers), D))  =>  (! [F] :  (v1_int_1(F) =>  (! [G] :  (m1_aofa_i00(G, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), E) =>  (k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k58_aofa_i00(A, B, D, E, G, F)), G)=k3_xcmplx_0(k21_aofa_i00(B, k4_numbers, C, G), F) &  (! [H] :  (m1_subset_1(H, B) =>  ( ~ (H=G)  => k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k58_aofa_i00(A, B, D, E, G, F)), H)=k21_aofa_i00(B, k4_numbers, C, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m2_funct_2(C, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [E] :  ( (v1_aofa_i00(E, A, B, D) & m1_aofa_000(E, A, k9_funct_2(B, k4_numbers), D))  =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), E) =>  (! [G] :  (m3_aofa_i00(G, A, B, D, E) =>  (k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k54_aofa_i00(A, B, D, E, F, G)), F)=k3_xcmplx_0(k21_aofa_i00(B, k4_numbers, C, F), k3_funct_2(k9_funct_2(B, k4_numbers), k4_numbers, G, C)) &  (! [H] :  (m1_subset_1(H, B) =>  ( ~ (H=F)  => k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k54_aofa_i00(A, B, D, E, F, G)), H)=k21_aofa_i00(B, k4_numbers, C, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m2_funct_2(C, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [E] :  ( (v1_aofa_i00(E, A, B, D) & m1_aofa_000(E, A, k9_funct_2(B, k4_numbers), D))  =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), E) =>  (! [G] :  (m1_aofa_i00(G, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), E) =>  (k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k82_aofa_i00(A, B, D, E, F, G)), F)=k3_xcmplx_0(k21_aofa_i00(B, k4_numbers, C, F), k21_aofa_i00(B, k4_numbers, C, G)) &  (! [H] :  (m1_subset_1(H, B) =>  ( ~ (H=F)  => k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k82_aofa_i00(A, B, D, E, F, G)), H)=k21_aofa_i00(B, k4_numbers, C, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m2_funct_2(C, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_aofa_i00(E, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)) & m1_aofa_000(E, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)))  =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), E) =>  (! [G] :  (v1_int_1(G) =>  ( (r1_xxreal_0(k21_aofa_i00(B, k4_numbers, C, F), G) => k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k76_aofa_i00(A, B, D, E, F, G)), D)=1)  &  ( ( ~ (r1_xxreal_0(k21_aofa_i00(B, k4_numbers, C, F), G))  => k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k76_aofa_i00(A, B, D, E, F, G)), D)=k5_numbers)  &  ( (r1_xxreal_0(G, k21_aofa_i00(B, k4_numbers, C, F)) => k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k77_aofa_i00(A, B, D, E, F, G)), D)=1)  &  ( ( ~ (r1_xxreal_0(G, k21_aofa_i00(B, k4_numbers, C, F)))  => k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k77_aofa_i00(A, B, D, E, F, G)), D)=k5_numbers)  &  (! [H] :  (m1_subset_1(H, B) =>  ( ~ (H=D)  =>  (k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k76_aofa_i00(A, B, D, E, F, G)), H)=k21_aofa_i00(B, k4_numbers, C, H) & k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k77_aofa_i00(A, B, D, E, F, G)), H)=k21_aofa_i00(B, k4_numbers, C, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m2_funct_2(C, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_aofa_i00(E, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)) & m1_aofa_000(E, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)))  =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), E) =>  (! [G] :  (m1_aofa_i00(G, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), E) =>  ( (r1_xxreal_0(k21_aofa_i00(B, k4_numbers, C, F), k21_aofa_i00(B, k4_numbers, C, G)) => k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k74_aofa_i00(A, B, D, E, F, G)), D)=1)  &  ( ( ~ (r1_xxreal_0(k21_aofa_i00(B, k4_numbers, C, F), k21_aofa_i00(B, k4_numbers, C, G)))  => k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k74_aofa_i00(A, B, D, E, F, G)), D)=k5_numbers)  &  (! [H] :  (m1_subset_1(H, B) =>  ( ~ (H=D)  => k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k74_aofa_i00(A, B, D, E, F, G)), H)=k21_aofa_i00(B, k4_numbers, C, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m2_funct_2(C, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_aofa_i00(E, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)) & m1_aofa_000(E, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)))  =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), E) =>  (! [G] :  (v1_int_1(G) =>  ( (r1_xxreal_0(k21_aofa_i00(B, k4_numbers, C, F), G) => r2_tarski(k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k76_aofa_i00(A, B, D, E, F, G)), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)))  &  ( (r2_tarski(k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k76_aofa_i00(A, B, D, E, F, G)), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)) => r1_xxreal_0(k21_aofa_i00(B, k4_numbers, C, F), G))  &  ( (r1_xxreal_0(G, k21_aofa_i00(B, k4_numbers, C, F)) => r2_tarski(k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k77_aofa_i00(A, B, D, E, F, G)), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)))  &  (r2_tarski(k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k77_aofa_i00(A, B, D, E, F, G)), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)) => r1_xxreal_0(G, k21_aofa_i00(B, k4_numbers, C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m2_funct_2(C, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_aofa_i00(E, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)) & m1_aofa_000(E, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)))  =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), E) =>  (! [G] :  (m1_aofa_i00(G, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), E) =>  ( (r1_xxreal_0(k21_aofa_i00(B, k4_numbers, C, F), k21_aofa_i00(B, k4_numbers, C, G)) => r2_tarski(k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k74_aofa_i00(A, B, D, E, F, G)), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)))  &  ( (r2_tarski(k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k74_aofa_i00(A, B, D, E, F, G)), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)) => r1_xxreal_0(k21_aofa_i00(B, k4_numbers, C, F), k21_aofa_i00(B, k4_numbers, C, G)))  &  ( (r1_xxreal_0(k21_aofa_i00(B, k4_numbers, C, G), k21_aofa_i00(B, k4_numbers, C, F)) => r2_tarski(k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k74_aofa_i00(A, B, D, E, G, F)), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)))  &  (r2_tarski(k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k74_aofa_i00(A, B, D, E, G, F)), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)) => r1_xxreal_0(k21_aofa_i00(B, k4_numbers, C, G), k21_aofa_i00(B, k4_numbers, C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m2_funct_2(C, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_aofa_i00(E, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)) & m1_aofa_000(E, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)))  =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), E) =>  (! [G] :  (v1_int_1(G) =>  ( ( ~ (r1_xxreal_0(k21_aofa_i00(B, k4_numbers, C, F), G))  => k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k78_aofa_i00(A, B, D, E, F, G)), D)=1)  &  ( (r1_xxreal_0(k21_aofa_i00(B, k4_numbers, C, F), G) => k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k78_aofa_i00(A, B, D, E, F, G)), D)=k5_numbers)  &  ( ( ~ (r1_xxreal_0(G, k21_aofa_i00(B, k4_numbers, C, F)))  => k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k79_aofa_i00(A, B, D, E, F, G)), D)=1)  &  ( (r1_xxreal_0(G, k21_aofa_i00(B, k4_numbers, C, F)) => k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k79_aofa_i00(A, B, D, E, F, G)), D)=k5_numbers)  &  (! [H] :  (m1_subset_1(H, B) =>  ( ~ (H=D)  =>  (k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k78_aofa_i00(A, B, D, E, F, G)), H)=k21_aofa_i00(B, k4_numbers, C, H) & k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k79_aofa_i00(A, B, D, E, F, G)), H)=k21_aofa_i00(B, k4_numbers, C, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m2_funct_2(C, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_aofa_i00(E, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)) & m1_aofa_000(E, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)))  =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), E) =>  (! [G] :  (m1_aofa_i00(G, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), E) =>  ( ( ~ (r1_xxreal_0(k21_aofa_i00(B, k4_numbers, C, F), k21_aofa_i00(B, k4_numbers, C, G)))  => k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k75_aofa_i00(A, B, D, E, F, G)), D)=1)  &  ( (r1_xxreal_0(k21_aofa_i00(B, k4_numbers, C, F), k21_aofa_i00(B, k4_numbers, C, G)) => k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k75_aofa_i00(A, B, D, E, F, G)), D)=k5_numbers)  &  ( ( ~ (r1_xxreal_0(k21_aofa_i00(B, k4_numbers, C, G), k21_aofa_i00(B, k4_numbers, C, F)))  => k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k75_aofa_i00(A, B, D, E, G, F)), D)=1)  &  ( (r1_xxreal_0(k21_aofa_i00(B, k4_numbers, C, G), k21_aofa_i00(B, k4_numbers, C, F)) => k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k75_aofa_i00(A, B, D, E, G, F)), D)=k5_numbers)  &  (! [H] :  (m1_subset_1(H, B) =>  ( ~ (H=D)  =>  (k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k75_aofa_i00(A, B, D, E, F, G)), H)=k21_aofa_i00(B, k4_numbers, C, H) & k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k75_aofa_i00(A, B, D, E, G, F)), H)=k21_aofa_i00(B, k4_numbers, C, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m2_funct_2(C, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_aofa_i00(E, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)) & m1_aofa_000(E, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)))  =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), E) =>  (! [G] :  (v1_int_1(G) =>  ( ( ~ (r1_xxreal_0(k21_aofa_i00(B, k4_numbers, C, F), G))  => r2_tarski(k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k78_aofa_i00(A, B, D, E, F, G)), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)))  &  ( ~ ( (r2_tarski(k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k78_aofa_i00(A, B, D, E, F, G)), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)) & r1_xxreal_0(k21_aofa_i00(B, k4_numbers, C, F), G)) )  &  ( ( ~ (r1_xxreal_0(G, k21_aofa_i00(B, k4_numbers, C, F)))  => r2_tarski(k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k79_aofa_i00(A, B, D, E, F, G)), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)))  &  ~ ( (r2_tarski(k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k79_aofa_i00(A, B, D, E, F, G)), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)) & r1_xxreal_0(G, k21_aofa_i00(B, k4_numbers, C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m2_funct_2(C, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_aofa_i00(E, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)) & m1_aofa_000(E, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)))  =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), E) =>  (! [G] :  (m1_aofa_i00(G, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), E) =>  ( ( ~ (r1_xxreal_0(k21_aofa_i00(B, k4_numbers, C, F), k21_aofa_i00(B, k4_numbers, C, G)))  => r2_tarski(k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k75_aofa_i00(A, B, D, E, F, G)), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)))  &  ( ~ ( (r2_tarski(k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k75_aofa_i00(A, B, D, E, F, G)), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)) & r1_xxreal_0(k21_aofa_i00(B, k4_numbers, C, F), k21_aofa_i00(B, k4_numbers, C, G))) )  &  ( ( ~ (r1_xxreal_0(k21_aofa_i00(B, k4_numbers, C, G), k21_aofa_i00(B, k4_numbers, C, F)))  => r2_tarski(k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k75_aofa_i00(A, B, D, E, G, F)), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)))  &  ~ ( (r2_tarski(k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k75_aofa_i00(A, B, D, E, G, F)), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)) & r1_xxreal_0(k21_aofa_i00(B, k4_numbers, C, G), k21_aofa_i00(B, k4_numbers, C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m2_funct_2(C, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [E] :  ( (v1_aofa_i00(E, A, B, D) & m1_aofa_000(E, A, k9_funct_2(B, k4_numbers), D))  =>  (! [F] :  (v1_int_1(F) =>  (! [G] :  (m1_aofa_i00(G, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), E) =>  (k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k59_aofa_i00(A, B, D, E, G, F)), G)=k5_int_1(k21_aofa_i00(B, k4_numbers, C, G), F) &  (! [H] :  (m1_subset_1(H, B) =>  ( ~ (H=G)  => k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k59_aofa_i00(A, B, D, E, G, F)), H)=k21_aofa_i00(B, k4_numbers, C, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m2_funct_2(C, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [E] :  ( (v1_aofa_i00(E, A, B, D) & m1_aofa_000(E, A, k9_funct_2(B, k4_numbers), D))  =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), E) =>  (! [G] :  (m3_aofa_i00(G, A, B, D, E) =>  (k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k55_aofa_i00(A, B, D, E, F, G)), F)=k5_int_1(k21_aofa_i00(B, k4_numbers, C, F), k3_funct_2(k9_funct_2(B, k4_numbers), k4_numbers, G, C)) &  (! [H] :  (m1_subset_1(H, B) =>  ( ~ (H=F)  => k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k55_aofa_i00(A, B, D, E, F, G)), H)=k21_aofa_i00(B, k4_numbers, C, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m2_funct_2(C, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [E] :  ( (v1_aofa_i00(E, A, B, D) & m1_aofa_000(E, A, k9_funct_2(B, k4_numbers), D))  =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), E) =>  (! [G] :  (m1_aofa_i00(G, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), E) =>  (k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k83_aofa_i00(A, B, D, E, F, G)), F)=k5_int_1(k21_aofa_i00(B, k4_numbers, C, F), k21_aofa_i00(B, k4_numbers, C, G)) &  (! [H] :  (m1_subset_1(H, B) =>  ( ~ (H=F)  => k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k83_aofa_i00(A, B, D, E, F, G)), H)=k21_aofa_i00(B, k4_numbers, C, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m2_funct_2(C, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [E] :  ( (v1_aofa_i00(E, A, B, D) & m1_aofa_000(E, A, k9_funct_2(B, k4_numbers), D))  =>  (! [F] :  (v1_int_1(F) =>  (! [G] :  (m1_aofa_i00(G, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), E) =>  (k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k60_aofa_i00(A, B, D, E, G, F)), G)=k4_int_1(k21_aofa_i00(B, k4_numbers, C, G), F) &  (! [H] :  (m1_subset_1(H, B) =>  ( ~ (H=G)  => k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k60_aofa_i00(A, B, D, E, G, F)), H)=k21_aofa_i00(B, k4_numbers, C, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m2_funct_2(C, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [E] :  ( (v1_aofa_i00(E, A, B, D) & m1_aofa_000(E, A, k9_funct_2(B, k4_numbers), D))  =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), E) =>  (! [G] :  (m3_aofa_i00(G, A, B, D, E) =>  (k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k56_aofa_i00(A, B, D, E, F, G)), F)=k4_int_1(k21_aofa_i00(B, k4_numbers, C, F), k3_funct_2(k9_funct_2(B, k4_numbers), k4_numbers, G, C)) &  (! [H] :  (m1_subset_1(H, B) =>  ( ~ (H=F)  => k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k56_aofa_i00(A, B, D, E, F, G)), H)=k21_aofa_i00(B, k4_numbers, C, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m2_funct_2(C, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [E] :  ( (v1_aofa_i00(E, A, B, D) & m1_aofa_000(E, A, k9_funct_2(B, k4_numbers), D))  =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), E) =>  (! [G] :  (m1_aofa_i00(G, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), E) =>  (k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k84_aofa_i00(A, B, D, E, F, G)), F)=k4_int_1(k21_aofa_i00(B, k4_numbers, C, F), k21_aofa_i00(B, k4_numbers, C, G)) &  (! [H] :  (m1_subset_1(H, B) =>  ( ~ (H=F)  => k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k84_aofa_i00(A, B, D, E, F, G)), H)=k21_aofa_i00(B, k4_numbers, C, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m2_funct_2(C, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_aofa_i00(E, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)) & m1_aofa_000(E, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)))  =>  (! [F] :  (m3_aofa_i00(F, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers), E) =>  (k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k65_aofa_i00(A, B, D, E, F)), D)=k5_int_1(k3_funct_2(k9_funct_2(B, k4_numbers), k4_numbers, F, C), 2) &  (k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k66_aofa_i00(A, B, D, E, F)), D)=k5_int_1(k2_xcmplx_0(k3_funct_2(k9_funct_2(B, k4_numbers), k4_numbers, F, C), 1), 2) &  (! [G] :  (m1_subset_1(G, B) =>  ( ~ (G=D)  =>  (k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k65_aofa_i00(A, B, D, E, F)), G)=k21_aofa_i00(B, k4_numbers, C, G) & k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k66_aofa_i00(A, B, D, E, F)), G)=k21_aofa_i00(B, k4_numbers, C, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m2_funct_2(C, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_aofa_i00(E, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)) & m1_aofa_000(E, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)))  =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), E) =>  (k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k72_aofa_i00(A, B, D, E, F)), D)=k5_int_1(k21_aofa_i00(B, k4_numbers, C, F), 2) &  (k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k73_aofa_i00(A, B, D, E, F)), D)=k5_int_1(k2_xcmplx_0(k21_aofa_i00(B, k4_numbers, C, F), 1), 2) &  (! [G] :  (m1_subset_1(G, B) =>  ( ~ (G=D)  => k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k72_aofa_i00(A, B, D, E, F)), G)=k21_aofa_i00(B, k4_numbers, C, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m2_funct_2(C, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_aofa_i00(E, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)) & m1_aofa_000(E, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)))  =>  (! [F] :  (m3_aofa_i00(F, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers), E) =>  ( ( ~ (v1_abian(k3_funct_2(k9_funct_2(B, k4_numbers), k4_numbers, F, C)))  => r2_tarski(k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k65_aofa_i00(A, B, D, E, F)), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)))  &  ( ~ ( (r2_tarski(k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k65_aofa_i00(A, B, D, E, F)), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)) & v1_abian(k3_funct_2(k9_funct_2(B, k4_numbers), k4_numbers, F, C))) )  &  ( (v1_abian(k3_funct_2(k9_funct_2(B, k4_numbers), k4_numbers, F, C)) => r2_tarski(k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k66_aofa_i00(A, B, D, E, F)), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)))  &  (r2_tarski(k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k66_aofa_i00(A, B, D, E, F)), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)) => v1_abian(k3_funct_2(k9_funct_2(B, k4_numbers), k4_numbers, F, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m2_funct_2(C, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_aofa_i00(E, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)) & m1_aofa_000(E, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)))  =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), E) =>  ( ( ~ (v1_abian(k21_aofa_i00(B, k4_numbers, C, F)))  => r2_tarski(k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k72_aofa_i00(A, B, D, E, F)), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)))  &  ( ~ ( (r2_tarski(k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k72_aofa_i00(A, B, D, E, F)), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)) & v1_abian(k21_aofa_i00(B, k4_numbers, C, F))) )  &  ( (v1_abian(k21_aofa_i00(B, k4_numbers, C, F)) => r2_tarski(k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k73_aofa_i00(A, B, D, E, F)), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)))  &  (r2_tarski(k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k73_aofa_i00(A, B, D, E, F)), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)) => v1_abian(k21_aofa_i00(B, k4_numbers, C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m2_funct_2(C, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_aofa_i00(E, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)) & m1_aofa_000(E, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_aofa_i00(G, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), E) =>  (! [H] :  (m1_aofa_i00(H, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), E) =>  ( (! [I] :  (m2_funct_2(I, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, I, F), H)=k21_aofa_i00(B, k4_numbers, I, H) & k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, I, F), G)=k21_aofa_i00(B, k4_numbers, I, G)) ) )  =>  ( (! [I] :  ( (v1_relat_1(I) & v1_funct_1(I))  =>  ~ ( (k1_funct_1(I, D)=k5_numbers &  (k1_funct_1(I, H)=1 & k1_funct_1(I, G)=2) ) ) ) )  | r4_aofa_000(A, k13_aofa_000(A, k13_aofa_000(A, F, k57_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers), E, G, 1)), k74_aofa_i00(A, B, D, E, G, H)), k9_funct_2(B, k4_numbers), k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k74_aofa_i00(A, B, D, E, G, H)), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m2_funct_2(C, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_aofa_i00(E, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)) & m1_aofa_000(E, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers)))  =>  (! [F] :  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_aofa_i00(H, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), E) =>  (! [I] :  (m1_aofa_i00(I, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), E) =>  ( ( (! [J] :  (m2_funct_2(J, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (r2_tarski(J, F) =>  (k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, J, G), I)=k21_aofa_i00(B, k4_numbers, J, I) &  (k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, J, G), H)=k21_aofa_i00(B, k4_numbers, J, H) &  (r2_tarski(k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, J, G), F) &  (r2_tarski(k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, J, k74_aofa_i00(A, B, D, E, H, I)), F) & r2_tarski(k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, J, k57_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers), E, H, 1)), F)) ) ) ) ) ) )  & r2_tarski(C, F))  =>  ( (! [J] :  ( (v1_relat_1(J) & v1_funct_1(J))  =>  ~ ( (k1_funct_1(J, D)=k5_numbers &  (k1_funct_1(J, I)=1 & k1_funct_1(J, H)=2) ) ) ) )  | r4_aofa_000(A, k13_aofa_000(A, k13_aofa_000(A, G, k57_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers), E, H, 1)), k74_aofa_i00(A, B, D, E, H, I)), k9_funct_2(B, k4_numbers), k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), E, C, k74_aofa_i00(A, B, D, E, H, I)), k1_aofa_i00(k9_funct_2(B, k4_numbers), D, k5_numbers), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m3_aofa_i00(E, A, B, C, D) =>  (! [F] :  (m1_subset_1(F, B) =>  (! [G] :  ( (v1_aofa_i00(G, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), F, k5_numbers)) & m1_aofa_000(G, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), F, k5_numbers)))  =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (r5_aofa_000(A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), F, k5_numbers), H, G) =>  (! [I] :  (m1_aofa_i00(I, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), G) =>  (! [J] :  (m1_aofa_i00(J, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), G) =>  ( (! [K] :  (m2_funct_2(K, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), G, K, H), J)=k21_aofa_i00(B, k4_numbers, K, J) & k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), G, K, H), I)=k21_aofa_i00(B, k4_numbers, K, I)) ) )  =>  ( (! [K] :  ( (v1_relat_1(K) & v1_funct_1(K))  =>  ~ ( (k1_funct_1(K, F)=k5_numbers &  (k1_funct_1(K, J)=1 & k1_funct_1(K, I)=2) ) ) ) )  | r5_aofa_000(A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), F, k5_numbers), k17_aofa_000(A, k47_aofa_i00(A, B, C, D, I, E), k74_aofa_i00(A, B, F, G, I, J), H, k57_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), F, k5_numbers), G, I, 1)), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m3_aofa_i00(E, A, B, C, D) =>  (! [F] :  (m1_subset_1(F, B) =>  (! [G] :  ( (v1_aofa_i00(G, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), F, k5_numbers)) & m1_aofa_000(G, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), F, k5_numbers)))  =>  (! [H] :  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (r6_aofa_000(A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), F, k5_numbers), I, G, H) =>  (! [J] :  (m1_aofa_i00(J, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), G) =>  (! [K] :  (m1_aofa_i00(K, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), G) =>  ( ( (! [L] :  (m2_funct_2(L, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (r2_tarski(L, H) =>  (k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), G, L, I), K)=k21_aofa_i00(B, k4_numbers, L, K) & k21_aofa_i00(B, k4_numbers, k2_binop_1(k9_funct_2(B, k4_numbers), u1_struct_0(A), k9_funct_2(B, k4_numbers), G, L, I), J)=k21_aofa_i00(B, k4_numbers, L, J)) ) ) )  &  (r7_aofa_000(A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), F, k5_numbers), k47_aofa_i00(A, B, C, D, J, E), G, H) &  (r7_aofa_000(A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), F, k5_numbers), I, G, H) &  (r7_aofa_000(A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), F, k5_numbers), k74_aofa_i00(A, B, F, G, J, K), G, H) & r7_aofa_000(A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), F, k5_numbers), k57_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), F, k5_numbers), G, J, 1), G, H)) ) ) )  =>  ( (! [L] :  ( (v1_relat_1(L) & v1_funct_1(L))  =>  ~ ( (k1_funct_1(L, F)=k5_numbers &  (k1_funct_1(L, K)=1 & k1_funct_1(L, J)=2) ) ) ) )  | r6_aofa_000(A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), F, k5_numbers), k17_aofa_000(A, k47_aofa_i00(A, B, C, D, J, E), k74_aofa_i00(A, B, F, G, J, K), I, k57_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), F, k5_numbers), G, J, 1)), G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [G] :  (m1_aofa_i00(G, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  ( (? [H] :  ( (v1_relat_1(H) & v1_funct_1(H))  &  (k1_funct_1(H, E)=1 &  (k1_funct_1(H, F)=2 &  (k1_funct_1(H, G)=3 & k1_funct_1(H, C)=4) ) ) ) )  => r5_aofa_000(A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), k13_aofa_000(A, k51_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, F, 1), k17_aofa_000(A, k51_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, G, 2), k74_aofa_i00(A, B, C, D, G, E), k82_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, F, G), k57_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, G, 1))), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [G] :  (m1_aofa_i00(G, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  ( (? [H] :  ( (v1_relat_1(H) & v1_funct_1(H))  &  (k1_funct_1(H, E)=1 &  (k1_funct_1(H, F)=2 &  (k1_funct_1(H, G)=3 & k1_funct_1(H, C)=4) ) ) ) )  =>  (! [H] :  (m2_funct_2(H, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (! [I] :  (v7_ordinal1(I) =>  (I=k21_aofa_i00(B, k4_numbers, H, E) => k21_aofa_i00(B, k4_numbers, k89_aofa_i00(B, A, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, H, k13_aofa_000(A, k51_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, F, 1), k17_aofa_000(A, k51_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, G, 2), k74_aofa_i00(A, B, C, D, G, E), k82_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, F, G), k57_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, G, 1)))), F)=k7_newton(I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [G] :  (m1_aofa_i00(G, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [H] :  (m1_aofa_i00(H, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  ( (? [I] :  ( (v1_relat_1(I) & v1_funct_1(I))  &  (k1_funct_1(I, F)=1 &  (k1_funct_1(I, G)=2 &  (k1_funct_1(I, H)=3 & k1_funct_1(I, C)=4) ) ) ) )  => r5_aofa_000(A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), k13_aofa_000(A, k51_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, G, 1), k17_aofa_000(A, k51_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, H, 1), k74_aofa_i00(A, B, C, D, H, F), k82_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, G, E), k57_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, H, 1))), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [G] :  (m1_aofa_i00(G, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [H] :  (m1_aofa_i00(H, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  ( (? [I] :  ( (v1_relat_1(I) & v1_funct_1(I))  &  (k1_funct_1(I, E)=k5_numbers &  (k1_funct_1(I, F)=1 &  (k1_funct_1(I, G)=2 &  (k1_funct_1(I, H)=3 & k1_funct_1(I, C)=4) ) ) ) ) )  =>  (! [I] :  (m2_funct_2(I, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (! [J] :  (v7_ordinal1(J) =>  (J=k21_aofa_i00(B, k4_numbers, I, F) => k21_aofa_i00(B, k4_numbers, k89_aofa_i00(B, A, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, I, k13_aofa_000(A, k51_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, G, 1), k17_aofa_000(A, k51_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, H, 1), k74_aofa_i00(A, B, C, D, H, F), k82_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, G, E), k57_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, H, 1)))), G)=k1_newton(k21_aofa_i00(B, k4_numbers, I, E), J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [G] :  (m1_aofa_i00(G, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [H] :  (m1_aofa_i00(H, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [I] :  (m1_aofa_i00(I, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  ( (? [J] :  ( (v1_relat_1(J) & v1_funct_1(J))  &  (k1_funct_1(J, C)=k5_numbers &  (k1_funct_1(J, E)=1 &  (k1_funct_1(J, F)=2 &  (k1_funct_1(J, G)=3 &  (k1_funct_1(J, H)=4 & k1_funct_1(J, I)=5) ) ) ) ) ) )  => r5_aofa_000(A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), k13_aofa_000(A, k13_aofa_000(A, k51_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, F, k5_numbers), k51_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, G, 1)), k17_aofa_000(A, k51_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, I, 1), k74_aofa_i00(A, B, C, D, I, E), k13_aofa_000(A, k13_aofa_000(A, k48_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, H, F), k48_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, F, G)), k81_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, G, H)), k57_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, I, 1))), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [G] :  (m1_aofa_i00(G, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [H] :  (m1_aofa_i00(H, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [I] :  (m1_aofa_i00(I, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  ( (? [J] :  ( (v1_relat_1(J) & v1_funct_1(J))  &  (k1_funct_1(J, C)=k5_numbers &  (k1_funct_1(J, E)=1 &  (k1_funct_1(J, F)=2 &  (k1_funct_1(J, G)=3 &  (k1_funct_1(J, H)=4 & k1_funct_1(J, I)=5) ) ) ) ) ) )  =>  (! [J] :  (m2_funct_2(J, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (! [K] :  (m1_subset_1(K, k4_ordinal1) =>  (K=k21_aofa_i00(B, k4_numbers, J, E) => k21_aofa_i00(B, k4_numbers, k89_aofa_i00(B, A, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, J, k13_aofa_000(A, k13_aofa_000(A, k51_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, F, k5_numbers), k51_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, G, 1)), k17_aofa_000(A, k51_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, I, 1), k74_aofa_i00(A, B, C, D, I, E), k13_aofa_000(A, k13_aofa_000(A, k48_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, H, F), k48_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, F, G)), k81_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, G, H)), k57_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, I, 1)))), F)=k1_pre_ff(K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [G] :  (m1_aofa_i00(G, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  ( (? [H] :  ( (v1_relat_1(H) & v1_funct_1(H))  &  (k1_funct_1(H, C)=k5_numbers &  (k1_funct_1(H, E)=1 &  (k1_funct_1(H, F)=2 & k1_funct_1(H, G)=3) ) ) ) )  =>  (! [H] :  (m2_funct_2(H, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (! [I] :  (m1_subset_1(I, k4_ordinal1) =>  (! [J] :  (m1_subset_1(J, k4_ordinal1) =>  ( (I=k21_aofa_i00(B, k4_numbers, H, E) & J=k21_aofa_i00(B, k4_numbers, H, F))  =>  (r1_xxreal_0(I, J) | k21_aofa_i00(B, k4_numbers, k89_aofa_i00(B, A, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, H, k16_aofa_000(A, k78_aofa_i00(A, B, C, D, F, k5_numbers), k13_aofa_000(A, k13_aofa_000(A, k13_aofa_000(A, k48_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, G, E), k83_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, G, F)), k48_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, E, F)), k48_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, F, G)))), E)=k6_nat_d(I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [G] :  (m1_aofa_i00(G, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  ( (? [H] :  ( (v1_relat_1(H) & v1_funct_1(H))  &  (k1_funct_1(H, C)=k5_numbers &  (k1_funct_1(H, E)=1 &  (k1_funct_1(H, F)=2 & k1_funct_1(H, G)=3) ) ) ) )  =>  (! [H] :  (m2_funct_2(H, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (! [I] :  (m1_subset_1(I, k4_ordinal1) =>  (! [J] :  (m1_subset_1(J, k4_ordinal1) =>  ( (I=k21_aofa_i00(B, k4_numbers, H, E) & J=k21_aofa_i00(B, k4_numbers, H, F))  =>  (r1_xxreal_0(I, k5_numbers) | k21_aofa_i00(B, k4_numbers, k89_aofa_i00(B, A, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, H, k16_aofa_000(A, k78_aofa_i00(A, B, C, D, F, k5_numbers), k13_aofa_000(A, k13_aofa_000(A, k13_aofa_000(A, k47_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, G, k32_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, k42_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, E), k42_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, F))), k15_aofa_000(A, k79_aofa_i00(A, B, C, D, G, k5_numbers), k58_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, G, k4_xcmplx_0(1)))), k48_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, E, F)), k48_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, F, G)))), E)=k6_nat_d(I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [G] :  (m1_aofa_i00(G, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  ( (? [H] :  ( (v1_relat_1(H) & v1_funct_1(H))  &  (k1_funct_1(H, C)=k5_numbers &  (k1_funct_1(H, E)=1 &  (k1_funct_1(H, F)=2 & k1_funct_1(H, G)=3) ) ) ) )  =>  (! [H] :  (m2_funct_2(H, B, k4_numbers, k9_funct_2(B, k4_numbers)) =>  (! [I] :  (v7_ordinal1(I) =>  (I=k21_aofa_i00(B, k4_numbers, H, G) => k21_aofa_i00(B, k4_numbers, k89_aofa_i00(B, A, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, H, k13_aofa_000(A, k51_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, F, 1), k16_aofa_000(A, k78_aofa_i00(A, B, C, D, G, k5_numbers), k13_aofa_000(A, k13_aofa_000(A, k15_aofa_000(A, k72_aofa_i00(A, B, C, D, G), k82_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, F, E)), k60_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, G, 2)), k82_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, E, E))))), F)=k1_newton(k21_aofa_i00(B, k4_numbers, H, E), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_aofa_i00, axiom,  ( (f5_s1_aofa_i00=k17_aofa_000(f1_s1_aofa_i00, k47_aofa_i00(f1_s1_aofa_i00, f2_s1_aofa_i00, k1_aofa_i00(k9_funct_2(f2_s1_aofa_i00, k4_numbers), f3_s1_aofa_i00, k5_numbers), f6_s1_aofa_i00, f7_s1_aofa_i00, f10_s1_aofa_i00), k74_aofa_i00(f1_s1_aofa_i00, f2_s1_aofa_i00, f3_s1_aofa_i00, f6_s1_aofa_i00, f7_s1_aofa_i00, f8_s1_aofa_i00), f4_s1_aofa_i00, k57_aofa_i00(f1_s1_aofa_i00, f2_s1_aofa_i00, k1_aofa_i00(k9_funct_2(f2_s1_aofa_i00, k4_numbers), f3_s1_aofa_i00, k5_numbers), f6_s1_aofa_i00, f7_s1_aofa_i00, 1)) &  (p1_s1_aofa_i00(k2_binop_1(k9_funct_2(f2_s1_aofa_i00, k4_numbers), u1_struct_0(f1_s1_aofa_i00), k9_funct_2(f2_s1_aofa_i00, k4_numbers), f6_s1_aofa_i00, f9_s1_aofa_i00, k47_aofa_i00(f1_s1_aofa_i00, f2_s1_aofa_i00, k1_aofa_i00(k9_funct_2(f2_s1_aofa_i00, k4_numbers), f3_s1_aofa_i00, k5_numbers), f6_s1_aofa_i00, f7_s1_aofa_i00, f10_s1_aofa_i00))) &  ( (! [A] :  (m2_funct_2(A, f2_s1_aofa_i00, k4_numbers, k9_funct_2(f2_s1_aofa_i00, k4_numbers)) =>  (p1_s1_aofa_i00(A) =>  (p1_s1_aofa_i00(k2_binop_1(k9_funct_2(f2_s1_aofa_i00, k4_numbers), u1_struct_0(f1_s1_aofa_i00), k9_funct_2(f2_s1_aofa_i00, k4_numbers), f6_s1_aofa_i00, A, k13_aofa_000(f1_s1_aofa_i00, f4_s1_aofa_i00, k57_aofa_i00(f1_s1_aofa_i00, f2_s1_aofa_i00, k1_aofa_i00(k9_funct_2(f2_s1_aofa_i00, k4_numbers), f3_s1_aofa_i00, k5_numbers), f6_s1_aofa_i00, f7_s1_aofa_i00, 1)))) & p1_s1_aofa_i00(k2_binop_1(k9_funct_2(f2_s1_aofa_i00, k4_numbers), u1_struct_0(f1_s1_aofa_i00), k9_funct_2(f2_s1_aofa_i00, k4_numbers), f6_s1_aofa_i00, A, k74_aofa_i00(f1_s1_aofa_i00, f2_s1_aofa_i00, f3_s1_aofa_i00, f6_s1_aofa_i00, f7_s1_aofa_i00, f8_s1_aofa_i00)))) ) ) )  &  ( (! [A] :  (m2_funct_2(A, f2_s1_aofa_i00, k4_numbers, k9_funct_2(f2_s1_aofa_i00, k4_numbers)) =>  (p1_s1_aofa_i00(A) =>  (k21_aofa_i00(f2_s1_aofa_i00, k4_numbers, k2_binop_1(k9_funct_2(f2_s1_aofa_i00, k4_numbers), u1_struct_0(f1_s1_aofa_i00), k9_funct_2(f2_s1_aofa_i00, k4_numbers), f6_s1_aofa_i00, A, f4_s1_aofa_i00), f7_s1_aofa_i00)=k21_aofa_i00(f2_s1_aofa_i00, k4_numbers, A, f7_s1_aofa_i00) & k21_aofa_i00(f2_s1_aofa_i00, k4_numbers, k2_binop_1(k9_funct_2(f2_s1_aofa_i00, k4_numbers), u1_struct_0(f1_s1_aofa_i00), k9_funct_2(f2_s1_aofa_i00, k4_numbers), f6_s1_aofa_i00, A, f4_s1_aofa_i00), f8_s1_aofa_i00)=k21_aofa_i00(f2_s1_aofa_i00, k4_numbers, A, f8_s1_aofa_i00)) ) ) )  &  ( ~ (f8_s1_aofa_i00=f7_s1_aofa_i00)  &  ( ~ (f8_s1_aofa_i00=f3_s1_aofa_i00)  &  ~ (f7_s1_aofa_i00=f3_s1_aofa_i00) ) ) ) ) ) )  =>  (p1_s1_aofa_i00(k2_binop_1(k9_funct_2(f2_s1_aofa_i00, k4_numbers), u1_struct_0(f1_s1_aofa_i00), k9_funct_2(f2_s1_aofa_i00, k4_numbers), f6_s1_aofa_i00, f9_s1_aofa_i00, f5_s1_aofa_i00)) &  ( (r1_xxreal_0(k3_funct_2(k9_funct_2(f2_s1_aofa_i00, k4_numbers), k4_numbers, f10_s1_aofa_i00, f9_s1_aofa_i00), k21_aofa_i00(f2_s1_aofa_i00, k4_numbers, f9_s1_aofa_i00, f8_s1_aofa_i00)) => k21_aofa_i00(f2_s1_aofa_i00, k4_numbers, k2_binop_1(k9_funct_2(f2_s1_aofa_i00, k4_numbers), u1_struct_0(f1_s1_aofa_i00), k9_funct_2(f2_s1_aofa_i00, k4_numbers), f6_s1_aofa_i00, f9_s1_aofa_i00, f5_s1_aofa_i00), f7_s1_aofa_i00)=k2_xcmplx_0(k21_aofa_i00(f2_s1_aofa_i00, k4_numbers, f9_s1_aofa_i00, f8_s1_aofa_i00), 1))  &  ( ( ~ (r1_xxreal_0(k3_funct_2(k9_funct_2(f2_s1_aofa_i00, k4_numbers), k4_numbers, f10_s1_aofa_i00, f9_s1_aofa_i00), k21_aofa_i00(f2_s1_aofa_i00, k4_numbers, f9_s1_aofa_i00, f8_s1_aofa_i00)))  => k21_aofa_i00(f2_s1_aofa_i00, k4_numbers, k2_binop_1(k9_funct_2(f2_s1_aofa_i00, k4_numbers), u1_struct_0(f1_s1_aofa_i00), k9_funct_2(f2_s1_aofa_i00, k4_numbers), f6_s1_aofa_i00, f9_s1_aofa_i00, f5_s1_aofa_i00), f7_s1_aofa_i00)=k3_funct_2(k9_funct_2(f2_s1_aofa_i00, k4_numbers), k4_numbers, f10_s1_aofa_i00, f9_s1_aofa_i00))  & k21_aofa_i00(f2_s1_aofa_i00, k4_numbers, k2_binop_1(k9_funct_2(f2_s1_aofa_i00, k4_numbers), u1_struct_0(f1_s1_aofa_i00), k9_funct_2(f2_s1_aofa_i00, k4_numbers), f6_s1_aofa_i00, f9_s1_aofa_i00, f5_s1_aofa_i00), f8_s1_aofa_i00)=k21_aofa_i00(f2_s1_aofa_i00, k4_numbers, f9_s1_aofa_i00, f8_s1_aofa_i00)) ) ) ) ).
fof(s2_aofa_i00, axiom,  ( (f5_s2_aofa_i00=k17_aofa_000(f1_s2_aofa_i00, k47_aofa_i00(f1_s2_aofa_i00, f2_s2_aofa_i00, k1_aofa_i00(k9_funct_2(f2_s2_aofa_i00, k4_numbers), f3_s2_aofa_i00, k5_numbers), f6_s2_aofa_i00, f7_s2_aofa_i00, f10_s2_aofa_i00), k67_aofa_i00(f1_s2_aofa_i00, f2_s2_aofa_i00, f3_s2_aofa_i00, f6_s2_aofa_i00, k42_aofa_i00(f1_s2_aofa_i00, f2_s2_aofa_i00, k1_aofa_i00(k9_funct_2(f2_s2_aofa_i00, k4_numbers), f3_s2_aofa_i00, k5_numbers), f6_s2_aofa_i00, f8_s2_aofa_i00), k42_aofa_i00(f1_s2_aofa_i00, f2_s2_aofa_i00, k1_aofa_i00(k9_funct_2(f2_s2_aofa_i00, k4_numbers), f3_s2_aofa_i00, k5_numbers), f6_s2_aofa_i00, f7_s2_aofa_i00)), f4_s2_aofa_i00, k57_aofa_i00(f1_s2_aofa_i00, f2_s2_aofa_i00, k1_aofa_i00(k9_funct_2(f2_s2_aofa_i00, k4_numbers), f3_s2_aofa_i00, k5_numbers), f6_s2_aofa_i00, f7_s2_aofa_i00, k4_xcmplx_0(1))) &  (p1_s2_aofa_i00(k2_binop_1(k9_funct_2(f2_s2_aofa_i00, k4_numbers), u1_struct_0(f1_s2_aofa_i00), k9_funct_2(f2_s2_aofa_i00, k4_numbers), f6_s2_aofa_i00, f9_s2_aofa_i00, k47_aofa_i00(f1_s2_aofa_i00, f2_s2_aofa_i00, k1_aofa_i00(k9_funct_2(f2_s2_aofa_i00, k4_numbers), f3_s2_aofa_i00, k5_numbers), f6_s2_aofa_i00, f7_s2_aofa_i00, f10_s2_aofa_i00))) &  ( (! [A] :  (m2_funct_2(A, f2_s2_aofa_i00, k4_numbers, k9_funct_2(f2_s2_aofa_i00, k4_numbers)) =>  (p1_s2_aofa_i00(A) =>  (p1_s2_aofa_i00(k2_binop_1(k9_funct_2(f2_s2_aofa_i00, k4_numbers), u1_struct_0(f1_s2_aofa_i00), k9_funct_2(f2_s2_aofa_i00, k4_numbers), f6_s2_aofa_i00, A, k13_aofa_000(f1_s2_aofa_i00, f4_s2_aofa_i00, k57_aofa_i00(f1_s2_aofa_i00, f2_s2_aofa_i00, k1_aofa_i00(k9_funct_2(f2_s2_aofa_i00, k4_numbers), f3_s2_aofa_i00, k5_numbers), f6_s2_aofa_i00, f7_s2_aofa_i00, k4_xcmplx_0(1))))) & p1_s2_aofa_i00(k2_binop_1(k9_funct_2(f2_s2_aofa_i00, k4_numbers), u1_struct_0(f1_s2_aofa_i00), k9_funct_2(f2_s2_aofa_i00, k4_numbers), f6_s2_aofa_i00, A, k74_aofa_i00(f1_s2_aofa_i00, f2_s2_aofa_i00, f3_s2_aofa_i00, f6_s2_aofa_i00, f8_s2_aofa_i00, f7_s2_aofa_i00)))) ) ) )  &  ( (! [A] :  (m2_funct_2(A, f2_s2_aofa_i00, k4_numbers, k9_funct_2(f2_s2_aofa_i00, k4_numbers)) =>  (p1_s2_aofa_i00(A) =>  (k21_aofa_i00(f2_s2_aofa_i00, k4_numbers, k2_binop_1(k9_funct_2(f2_s2_aofa_i00, k4_numbers), u1_struct_0(f1_s2_aofa_i00), k9_funct_2(f2_s2_aofa_i00, k4_numbers), f6_s2_aofa_i00, A, f4_s2_aofa_i00), f7_s2_aofa_i00)=k21_aofa_i00(f2_s2_aofa_i00, k4_numbers, A, f7_s2_aofa_i00) & k21_aofa_i00(f2_s2_aofa_i00, k4_numbers, k2_binop_1(k9_funct_2(f2_s2_aofa_i00, k4_numbers), u1_struct_0(f1_s2_aofa_i00), k9_funct_2(f2_s2_aofa_i00, k4_numbers), f6_s2_aofa_i00, A, f4_s2_aofa_i00), f8_s2_aofa_i00)=k21_aofa_i00(f2_s2_aofa_i00, k4_numbers, A, f8_s2_aofa_i00)) ) ) )  &  ( ~ (f8_s2_aofa_i00=f7_s2_aofa_i00)  &  ( ~ (f8_s2_aofa_i00=f3_s2_aofa_i00)  &  ~ (f7_s2_aofa_i00=f3_s2_aofa_i00) ) ) ) ) ) )  =>  (p1_s2_aofa_i00(k2_binop_1(k9_funct_2(f2_s2_aofa_i00, k4_numbers), u1_struct_0(f1_s2_aofa_i00), k9_funct_2(f2_s2_aofa_i00, k4_numbers), f6_s2_aofa_i00, f9_s2_aofa_i00, f5_s2_aofa_i00)) &  ( (r1_xxreal_0(k21_aofa_i00(f2_s2_aofa_i00, k4_numbers, f9_s2_aofa_i00, f8_s2_aofa_i00), k3_funct_2(k9_funct_2(f2_s2_aofa_i00, k4_numbers), k4_numbers, f10_s2_aofa_i00, f9_s2_aofa_i00)) => k21_aofa_i00(f2_s2_aofa_i00, k4_numbers, k2_binop_1(k9_funct_2(f2_s2_aofa_i00, k4_numbers), u1_struct_0(f1_s2_aofa_i00), k9_funct_2(f2_s2_aofa_i00, k4_numbers), f6_s2_aofa_i00, f9_s2_aofa_i00, f5_s2_aofa_i00), f7_s2_aofa_i00)=k6_xcmplx_0(k21_aofa_i00(f2_s2_aofa_i00, k4_numbers, f9_s2_aofa_i00, f8_s2_aofa_i00), 1))  &  ( ( ~ (r1_xxreal_0(k21_aofa_i00(f2_s2_aofa_i00, k4_numbers, f9_s2_aofa_i00, f8_s2_aofa_i00), k3_funct_2(k9_funct_2(f2_s2_aofa_i00, k4_numbers), k4_numbers, f10_s2_aofa_i00, f9_s2_aofa_i00)))  => k21_aofa_i00(f2_s2_aofa_i00, k4_numbers, k2_binop_1(k9_funct_2(f2_s2_aofa_i00, k4_numbers), u1_struct_0(f1_s2_aofa_i00), k9_funct_2(f2_s2_aofa_i00, k4_numbers), f6_s2_aofa_i00, f9_s2_aofa_i00, f5_s2_aofa_i00), f7_s2_aofa_i00)=k3_funct_2(k9_funct_2(f2_s2_aofa_i00, k4_numbers), k4_numbers, f10_s2_aofa_i00, f9_s2_aofa_i00))  & k21_aofa_i00(f2_s2_aofa_i00, k4_numbers, k2_binop_1(k9_funct_2(f2_s2_aofa_i00, k4_numbers), u1_struct_0(f1_s2_aofa_i00), k9_funct_2(f2_s2_aofa_i00, k4_numbers), f6_s2_aofa_i00, f9_s2_aofa_i00, f5_s2_aofa_i00), f8_s2_aofa_i00)=k21_aofa_i00(f2_s2_aofa_i00, k4_numbers, f9_s2_aofa_i00, f8_s2_aofa_i00)) ) ) ) ).
fof(dt_k1_aofa_i00, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  & v4_funct_1(A))  => m1_subset_1(k1_aofa_i00(A, B, C), k1_zfmisc_1(A))) ) ).
fof(dt_m1_aofa_i00, axiom,  (! [A, B, C, D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k9_funct_2(A, k4_numbers), B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, k4_numbers), B), C)))) )  =>  (! [E] :  (m1_aofa_i00(E, A, B, C, D) => m1_subset_1(E, A)) ) ) ) ).
fof(existence_m1_aofa_i00, axiom,  (! [A, B, C, D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k9_funct_2(A, k4_numbers), B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, k4_numbers), B), C)))) )  =>  (? [E] : m1_aofa_i00(E, A, B, C, D)) ) ) ).
fof(dt_k2_aofa_i00, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) & v1_funct_1(A)) )  &  (v1_relat_1(B) &  (v5_relat_1(B, k4_numbers) & v1_funct_1(B)) ) )  =>  (v1_relat_1(k2_aofa_i00(A, B)) &  (v5_relat_1(k2_aofa_i00(A, B), k4_numbers) & v1_funct_1(k2_aofa_i00(A, B))) ) ) ) ).
fof(dt_k3_aofa_i00, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) & v1_funct_1(A)) )  &  (v1_relat_1(B) &  (v5_relat_1(B, k4_numbers) & v1_funct_1(B)) ) )  =>  (v1_relat_1(k3_aofa_i00(A, B)) &  (v5_relat_1(k3_aofa_i00(A, B), k4_numbers) & v1_funct_1(k3_aofa_i00(A, B))) ) ) ) ).
fof(dt_k4_aofa_i00, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) & v1_funct_1(A)) )  &  (v1_relat_1(B) &  (v5_relat_1(B, k4_numbers) & v1_funct_1(B)) ) )  =>  (v1_relat_1(k4_aofa_i00(A, B)) &  (v5_relat_1(k4_aofa_i00(A, B), k4_numbers) & v1_funct_1(k4_aofa_i00(A, B))) ) ) ) ).
fof(dt_k5_aofa_i00, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) & v1_funct_1(A)) )  &  (v1_relat_1(B) &  (v5_relat_1(B, k4_numbers) & v1_funct_1(B)) ) )  =>  (v1_relat_1(k5_aofa_i00(A, B)) &  (v5_relat_1(k5_aofa_i00(A, B), k4_numbers) & v1_funct_1(k5_aofa_i00(A, B))) ) ) ) ).
fof(dt_k6_aofa_i00, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) & v1_funct_1(A)) )  &  (v1_relat_1(B) &  (v5_relat_1(B, k4_numbers) & v1_funct_1(B)) ) )  =>  (v1_relat_1(k6_aofa_i00(A, B)) &  (v5_relat_1(k6_aofa_i00(A, B), k4_numbers) & v1_funct_1(k6_aofa_i00(A, B))) ) ) ) ).
fof(dt_k7_aofa_i00, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) )  & v1_int_1(C)) )  =>  (v1_funct_1(k7_aofa_i00(A, B, C)) &  (v1_funct_2(k7_aofa_i00(A, B, C), A, k4_numbers) & m1_subset_1(k7_aofa_i00(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) ) ) ) ).
fof(redefinition_k7_aofa_i00, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) )  & v1_int_1(C)) )  => k7_aofa_i00(A, B, C)=k7_valued_1(B, C)) ) ).
fof(dt_k8_aofa_i00, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) )  & v1_int_1(C)) )  =>  (v1_funct_1(k8_aofa_i00(A, B, C)) &  (v1_funct_2(k8_aofa_i00(A, B, C), A, k4_numbers) & m1_subset_1(k8_aofa_i00(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) ) ) ) ).
fof(redefinition_k8_aofa_i00, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) )  & v1_int_1(C)) )  => k8_aofa_i00(A, B, C)=k13_valued_1(B, C)) ) ).
fof(dt_k9_aofa_i00, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) )  & v1_int_1(C)) )  =>  (v1_funct_1(k9_aofa_i00(A, B, C)) &  (v1_funct_2(k9_aofa_i00(A, B, C), A, k4_numbers) & m1_subset_1(k9_aofa_i00(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) ) ) ) ).
fof(redefinition_k9_aofa_i00, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) )  & v1_int_1(C)) )  => k9_aofa_i00(A, B, C)=k24_valued_1(B, C)) ) ).
fof(dt_k10_aofa_i00, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k4_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) ) )  =>  (v1_funct_1(k10_aofa_i00(A, B, C)) &  (v1_funct_2(k10_aofa_i00(A, B, C), A, k4_numbers) & m1_subset_1(k10_aofa_i00(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) ) ) ) ).
fof(redefinition_k10_aofa_i00, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k4_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) ) )  => k10_aofa_i00(A, B, C)=k2_aofa_i00(B, C)) ) ).
fof(dt_k11_aofa_i00, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k4_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) ) )  =>  (v1_funct_1(k11_aofa_i00(A, B, C)) &  (v1_funct_2(k11_aofa_i00(A, B, C), A, k4_numbers) & m1_subset_1(k11_aofa_i00(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) ) ) ) ).
fof(redefinition_k11_aofa_i00, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k4_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) ) )  => k11_aofa_i00(A, B, C)=k3_aofa_i00(B, C)) ) ).
fof(dt_k12_aofa_i00, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k4_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) ) )  =>  (v1_funct_1(k12_aofa_i00(A, B, C)) &  (v1_funct_2(k12_aofa_i00(A, B, C), A, k4_numbers) & m1_subset_1(k12_aofa_i00(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) ) ) ) ).
fof(redefinition_k12_aofa_i00, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k4_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) ) )  => k12_aofa_i00(A, B, C)=k4_aofa_i00(B, C)) ) ).
fof(dt_k13_aofa_i00, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k4_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) ) )  =>  (v1_funct_1(k13_aofa_i00(A, B, C)) &  (v1_funct_2(k13_aofa_i00(A, B, C), A, k4_numbers) & m1_subset_1(k13_aofa_i00(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) ) ) ) ).
fof(redefinition_k13_aofa_i00, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k4_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) ) )  => k13_aofa_i00(A, B, C)=k5_aofa_i00(B, C)) ) ).
fof(dt_k14_aofa_i00, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k4_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) ) )  =>  (v1_funct_1(k14_aofa_i00(A, B, C)) &  (v1_funct_2(k14_aofa_i00(A, B, C), A, k4_numbers) & m1_subset_1(k14_aofa_i00(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) ) ) ) ).
fof(redefinition_k14_aofa_i00, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k4_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) ) )  => k14_aofa_i00(A, B, C)=k6_aofa_i00(B, C)) ) ).
fof(dt_k15_aofa_i00, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k4_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) ) ) )  =>  (v1_funct_1(k15_aofa_i00(A, B, C)) &  (v1_funct_2(k15_aofa_i00(A, B, C), A, k4_numbers) & m1_subset_1(k15_aofa_i00(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) ) ) ) ).
fof(redefinition_k15_aofa_i00, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k4_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) ) ) )  => k15_aofa_i00(A, B, C)=k45_valued_1(B, C)) ) ).
fof(dt_k16_aofa_i00, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k4_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) ) ) )  =>  (v1_funct_1(k16_aofa_i00(A, B, C)) &  (v1_funct_2(k16_aofa_i00(A, B, C), A, k4_numbers) & m1_subset_1(k16_aofa_i00(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) ) ) ) ).
fof(commutativity_k16_aofa_i00, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k4_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) ) ) )  => k16_aofa_i00(A, B, C)=k16_aofa_i00(A, C, B)) ) ).
fof(redefinition_k16_aofa_i00, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k4_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_numbers)))) ) ) )  => k16_aofa_i00(A, B, C)=k1_valued_1(B, C)) ) ).
fof(dt_k17_aofa_i00, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v1_funct_1(B))  &  (v1_relat_1(C) & v1_funct_1(C)) )  =>  (v1_relat_1(k17_aofa_i00(A, B, C)) & v1_funct_1(k17_aofa_i00(A, B, C))) ) ) ).
fof(dt_k18_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  (m1_subset_1(E, k9_funct_2(k9_funct_2(A, B), C)) &  (v1_funct_1(F) &  (v1_funct_2(F, A, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, D)))) ) ) ) ) ) )  => m2_funct_2(k18_aofa_i00(A, B, C, D, E, F), k9_funct_2(D, B), C, k9_funct_2(k9_funct_2(D, B), C))) ) ).
fof(redefinition_k18_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  (m1_subset_1(E, k9_funct_2(k9_funct_2(A, B), C)) &  (v1_funct_1(F) &  (v1_funct_2(F, A, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, D)))) ) ) ) ) ) )  => k18_aofa_i00(A, B, C, D, E, F)=k17_aofa_i00(D, E, F)) ) ).
fof(dt_k19_aofa_i00, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v2_funct_1(B) &  (v1_funct_2(B, A, k1_card_1(A)) &  (v2_funct_2(B, k1_card_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_card_1(A))))) ) ) )  =>  (v1_funct_1(k19_aofa_i00(A, B)) &  (v2_funct_1(k19_aofa_i00(A, B)) &  (v1_funct_2(k19_aofa_i00(A, B), k1_card_1(A), A) &  (v2_funct_2(k19_aofa_i00(A, B), A) & m1_subset_1(k19_aofa_i00(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_card_1(A), A)))) ) ) ) ) ) ).
fof(redefinition_k19_aofa_i00, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v2_funct_1(B) &  (v1_funct_2(B, A, k1_card_1(A)) &  (v2_funct_2(B, k1_card_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_card_1(A))))) ) ) )  => k19_aofa_i00(A, B)=k2_funct_1(B)) ) ).
fof(dt_k20_aofa_i00, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v2_funct_1(B) &  (v1_funct_2(B, k1_card_1(A), A) &  (v2_funct_2(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_card_1(A), A)))) ) ) )  =>  (v1_funct_1(k20_aofa_i00(A, B)) &  (v2_funct_1(k20_aofa_i00(A, B)) &  (v1_funct_2(k20_aofa_i00(A, B), A, k1_card_1(A)) &  (v2_funct_2(k20_aofa_i00(A, B), k1_card_1(A)) & m1_subset_1(k20_aofa_i00(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k1_card_1(A))))) ) ) ) ) ) ).
fof(redefinition_k20_aofa_i00, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v2_funct_1(B) &  (v1_funct_2(B, k1_card_1(A), A) &  (v2_funct_2(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_card_1(A), A)))) ) ) )  => k20_aofa_i00(A, B)=k2_funct_1(B)) ) ).
fof(dt_m2_aofa_i00, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C)) ) )  =>  (! [E] :  (m2_aofa_i00(E, A, B, C, D) =>  (v1_funct_1(E) &  (v1_funct_2(E, k9_funct_2(B, k4_numbers), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(B, k4_numbers), B)))) ) ) ) ) ) ).
fof(existence_m2_aofa_i00, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C)) ) )  =>  (? [E] : m2_aofa_i00(E, A, B, C, D)) ) ) ).
fof(dt_m3_aofa_i00, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C)) ) )  =>  (! [E] :  (m3_aofa_i00(E, A, B, C, D) =>  (v1_funct_1(E) &  (v1_funct_2(E, k9_funct_2(B, k4_numbers), k4_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(B, k4_numbers), k4_numbers)))) ) ) ) ) ) ).
fof(existence_m3_aofa_i00, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C)) ) )  =>  (? [E] : m3_aofa_i00(E, A, B, C, D)) ) ) ).
fof(dt_k21_aofa_i00, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k9_funct_2(A, B)) & m1_subset_1(D, A)) ) )  => m1_subset_1(k21_aofa_i00(A, B, C, D), B)) ) ).
fof(redefinition_k21_aofa_i00, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k9_funct_2(A, B)) & m1_subset_1(D, A)) ) )  => k21_aofa_i00(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(dt_k22_aofa_i00, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  =>  (v1_funct_1(k22_aofa_i00(A, B)) &  (v1_funct_2(k22_aofa_i00(A, B), k9_funct_2(A, k4_numbers), k4_numbers) & m1_subset_1(k22_aofa_i00(A, B), k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, k4_numbers), k4_numbers)))) ) ) ) ).
fof(dt_k23_aofa_i00, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k9_funct_2(A, k4_numbers), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, k4_numbers), A)))) ) )  =>  (v1_funct_1(k23_aofa_i00(A, B)) &  (v1_funct_2(k23_aofa_i00(A, B), k9_funct_2(A, k4_numbers), k4_numbers) & m1_subset_1(k23_aofa_i00(A, B), k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, k4_numbers), k4_numbers)))) ) ) ) ).
fof(dt_k24_aofa_i00, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  =>  (v1_funct_1(k24_aofa_i00(A, B)) &  (v1_funct_2(k24_aofa_i00(A, B), k9_funct_2(A, k4_numbers), A) & m1_subset_1(k24_aofa_i00(A, B), k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, k4_numbers), A)))) ) ) ) ).
fof(dt_k25_aofa_i00, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & v1_int_1(B))  =>  (v1_funct_1(k25_aofa_i00(A, B)) &  (v1_funct_2(k25_aofa_i00(A, B), k9_funct_2(A, k4_numbers), k4_numbers) & m1_subset_1(k25_aofa_i00(A, B), k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, k4_numbers), k4_numbers)))) ) ) ) ).
fof(dt_k26_aofa_i00, axiom,  ( ~ (v1_finset_1(k26_aofa_i00))  & v1_freealg(k26_aofa_i00)) ).
fof(dt_m4_aofa_i00, axiom,  (! [A] :  (m4_aofa_i00(A) => m1_aofa_000(A, k7_freealg(k19_aofa_000, k26_aofa_i00), k9_funct_2(k4_ordinal1, k4_numbers), k1_aofa_i00(k9_funct_2(k4_ordinal1, k4_numbers), k5_numbers, k5_numbers))) ) ).
fof(existence_m4_aofa_i00, axiom,  (? [A] : m4_aofa_i00(A)) ).
fof(dt_k27_aofa_i00, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v1_finset_1(k27_aofa_i00(A)))  & v1_freealg(k27_aofa_i00(A))) ) ) ).
fof(dt_m5_aofa_i00, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  =>  (! [C] :  (m5_aofa_i00(C, A, B) => m1_aofa_000(C, k7_freealg(k19_aofa_000, k27_aofa_i00(A)), k9_funct_2(A, k4_numbers), k1_aofa_i00(k9_funct_2(A, k4_numbers), B, k5_numbers))) ) ) ) ).
fof(existence_m5_aofa_i00, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  =>  (? [C] : m5_aofa_i00(C, A, B)) ) ) ).
fof(dt_m6_aofa_i00, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(A, k4_numbers))) &  (v1_funct_1(C) &  (v2_funct_1(C) &  (v1_funct_2(C, A, k1_card_1(A)) &  (v2_funct_2(C, k1_card_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_card_1(A))))) ) ) ) ) )  =>  (! [D] :  (m6_aofa_i00(D, A, B, C) => m1_aofa_000(D, k7_freealg(k19_aofa_000, k26_aofa_i00), k9_funct_2(A, k4_numbers), B)) ) ) ) ).
fof(existence_m6_aofa_i00, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(A, k4_numbers))) &  (v1_funct_1(C) &  (v2_funct_1(C) &  (v1_funct_2(C, A, k1_card_1(A)) &  (v2_funct_2(C, k1_card_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_card_1(A))))) ) ) ) ) )  =>  (? [D] : m6_aofa_i00(D, A, B, C)) ) ) ).
fof(dt_k28_aofa_i00, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  & m3_aofa_i00(E, A, B, C, D)) ) ) )  => m3_aofa_i00(k28_aofa_i00(A, B, C, D, E), A, B, C, D)) ) ).
fof(involutiveness_k28_aofa_i00, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  & m3_aofa_i00(E, A, B, C, D)) ) ) )  => k28_aofa_i00(A, B, C, D, k28_aofa_i00(A, B, C, D, E))=E) ) ).
fof(redefinition_k28_aofa_i00, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  & m3_aofa_i00(E, A, B, C, D)) ) ) )  => k28_aofa_i00(A, B, C, D, E)=k30_valued_1(E)) ) ).
fof(dt_k29_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m3_aofa_i00(E, A, B, C, D) & v1_int_1(F)) ) ) ) )  => m3_aofa_i00(k29_aofa_i00(A, B, C, D, E, F), A, B, C, D)) ) ).
fof(redefinition_k29_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m3_aofa_i00(E, A, B, C, D) & v1_int_1(F)) ) ) ) )  => k29_aofa_i00(A, B, C, D, E, F)=k7_valued_1(E, F)) ) ).
fof(dt_k30_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m3_aofa_i00(E, A, B, C, D) & v1_int_1(F)) ) ) ) )  => m3_aofa_i00(k30_aofa_i00(A, B, C, D, E, F), A, B, C, D)) ) ).
fof(redefinition_k30_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m3_aofa_i00(E, A, B, C, D) & v1_int_1(F)) ) ) ) )  => k30_aofa_i00(A, B, C, D, E, F)=k13_valued_1(E, F)) ) ).
fof(dt_k31_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m3_aofa_i00(E, A, B, C, D) & v1_int_1(F)) ) ) ) )  => m3_aofa_i00(k31_aofa_i00(A, B, C, D, E, F), A, B, C, D)) ) ).
fof(redefinition_k31_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m3_aofa_i00(E, A, B, C, D) & v1_int_1(F)) ) ) ) )  => k31_aofa_i00(A, B, C, D, E, F)=k24_valued_1(E, F)) ) ).
fof(dt_k32_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m3_aofa_i00(E, A, B, C, D) & m3_aofa_i00(F, A, B, C, D)) ) ) ) )  => m3_aofa_i00(k32_aofa_i00(A, B, C, D, E, F), A, B, C, D)) ) ).
fof(redefinition_k32_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m3_aofa_i00(E, A, B, C, D) & m3_aofa_i00(F, A, B, C, D)) ) ) ) )  => k32_aofa_i00(A, B, C, D, E, F)=k45_valued_1(E, F)) ) ).
fof(dt_k33_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m3_aofa_i00(E, A, B, C, D) & m3_aofa_i00(F, A, B, C, D)) ) ) ) )  => m3_aofa_i00(k33_aofa_i00(A, B, C, D, E, F), A, B, C, D)) ) ).
fof(commutativity_k33_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m3_aofa_i00(E, A, B, C, D) & m3_aofa_i00(F, A, B, C, D)) ) ) ) )  => k33_aofa_i00(A, B, C, D, E, F)=k33_aofa_i00(A, B, C, D, F, E)) ) ).
fof(redefinition_k33_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m3_aofa_i00(E, A, B, C, D) & m3_aofa_i00(F, A, B, C, D)) ) ) ) )  => k33_aofa_i00(A, B, C, D, E, F)=k1_valued_1(E, F)) ) ).
fof(dt_k34_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m3_aofa_i00(E, A, B, C, D) & m3_aofa_i00(F, A, B, C, D)) ) ) ) )  => m3_aofa_i00(k34_aofa_i00(A, B, C, D, E, F), A, B, C, D)) ) ).
fof(commutativity_k34_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m3_aofa_i00(E, A, B, C, D) & m3_aofa_i00(F, A, B, C, D)) ) ) ) )  => k34_aofa_i00(A, B, C, D, E, F)=k34_aofa_i00(A, B, C, D, F, E)) ) ).
fof(redefinition_k34_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m3_aofa_i00(E, A, B, C, D) & m3_aofa_i00(F, A, B, C, D)) ) ) ) )  => k34_aofa_i00(A, B, C, D, E, F)=k18_valued_1(E, F)) ) ).
fof(dt_k35_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m3_aofa_i00(E, A, B, C, D) & m3_aofa_i00(F, A, B, C, D)) ) ) ) )  => m3_aofa_i00(k35_aofa_i00(A, B, C, D, E, F), A, B, C, D)) ) ).
fof(redefinition_k35_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m3_aofa_i00(E, A, B, C, D) & m3_aofa_i00(F, A, B, C, D)) ) ) ) )  => k35_aofa_i00(A, B, C, D, E, F)=k2_aofa_i00(E, F)) ) ).
fof(dt_k36_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m3_aofa_i00(E, A, B, C, D) & m3_aofa_i00(F, A, B, C, D)) ) ) ) )  => m3_aofa_i00(k36_aofa_i00(A, B, C, D, E, F), A, B, C, D)) ) ).
fof(redefinition_k36_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m3_aofa_i00(E, A, B, C, D) & m3_aofa_i00(F, A, B, C, D)) ) ) ) )  => k36_aofa_i00(A, B, C, D, E, F)=k3_aofa_i00(E, F)) ) ).
fof(dt_k37_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m3_aofa_i00(E, A, B, C, D) & m3_aofa_i00(F, A, B, C, D)) ) ) ) )  => m3_aofa_i00(k37_aofa_i00(A, B, C, D, E, F), A, B, C, D)) ) ).
fof(redefinition_k37_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m3_aofa_i00(E, A, B, C, D) & m3_aofa_i00(F, A, B, C, D)) ) ) ) )  => k37_aofa_i00(A, B, C, D, E, F)=k4_aofa_i00(E, F)) ) ).
fof(dt_k38_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m3_aofa_i00(E, A, B, C, D) & m3_aofa_i00(F, A, B, C, D)) ) ) ) )  => m3_aofa_i00(k38_aofa_i00(A, B, C, D, E, F), A, B, C, D)) ) ).
fof(redefinition_k38_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m3_aofa_i00(E, A, B, C, D) & m3_aofa_i00(F, A, B, C, D)) ) ) ) )  => k38_aofa_i00(A, B, C, D, E, F)=k5_aofa_i00(E, F)) ) ).
fof(dt_k39_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m3_aofa_i00(E, A, B, C, D) & m3_aofa_i00(F, A, B, C, D)) ) ) ) )  => m3_aofa_i00(k39_aofa_i00(A, B, C, D, E, F), A, B, C, D)) ) ).
fof(redefinition_k39_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m3_aofa_i00(E, A, B, C, D) & m3_aofa_i00(F, A, B, C, D)) ) ) ) )  => k39_aofa_i00(A, B, C, D, E, F)=k6_aofa_i00(E, F)) ) ).
fof(dt_k40_aofa_i00, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  & m2_aofa_i00(E, A, B, C, D)) ) ) )  => m3_aofa_i00(k40_aofa_i00(A, B, C, D, E), A, B, C, D)) ) ).
fof(dt_k41_aofa_i00, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  & m1_subset_1(E, B)) ) ) )  => m2_aofa_i00(k41_aofa_i00(A, B, C, D, E), A, B, C, D)) ) ).
fof(dt_k42_aofa_i00, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  & m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D)) ) ) )  => m3_aofa_i00(k42_aofa_i00(A, B, C, D, E), A, B, C, D)) ) ).
fof(dt_k43_aofa_i00, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  & v1_int_1(E)) ) ) )  => m3_aofa_i00(k43_aofa_i00(A, B, C, D, E), A, B, C, D)) ) ).
fof(dt_k44_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m2_aofa_i00(E, A, B, C, D) & m3_aofa_i00(F, A, B, C, D)) ) ) ) )  => m1_subset_1(k44_aofa_i00(A, B, C, D, E, F), u1_struct_0(A))) ) ).
fof(dt_k45_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m2_aofa_i00(E, A, B, C, D) & m3_aofa_i00(F, A, B, C, D)) ) ) ) )  =>  (v15_aofa_000(k45_aofa_i00(A, B, C, D, E, F), A) & m1_subset_1(k45_aofa_i00(A, B, C, D, E, F), u1_struct_0(A))) ) ) ).
fof(dt_k46_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m2_aofa_i00(E, A, B, C, D) & m3_aofa_i00(F, A, B, C, D)) ) ) ) )  =>  (v15_aofa_000(k46_aofa_i00(A, B, C, D, E, F), A) & m1_subset_1(k46_aofa_i00(A, B, C, D, E, F), u1_struct_0(A))) ) ) ).
fof(dt_k47_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m1_subset_1(E, B) & m3_aofa_i00(F, A, B, C, D)) ) ) ) )  =>  (v15_aofa_000(k47_aofa_i00(A, B, C, D, E, F), A) & m1_subset_1(k47_aofa_i00(A, B, C, D, E, F), u1_struct_0(A))) ) ) ).
fof(dt_k48_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m1_subset_1(E, B) & m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D)) ) ) ) )  =>  (v15_aofa_000(k48_aofa_i00(A, B, C, D, E, F), A) & m1_subset_1(k48_aofa_i00(A, B, C, D, E, F), u1_struct_0(A))) ) ) ).
fof(dt_k49_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m1_subset_1(E, B) & m2_aofa_i00(F, A, B, C, D)) ) ) ) )  =>  (v15_aofa_000(k49_aofa_i00(A, B, C, D, E, F), A) & m1_subset_1(k49_aofa_i00(A, B, C, D, E, F), u1_struct_0(A))) ) ) ).
fof(dt_k50_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m2_aofa_i00(E, A, B, C, D) & m2_aofa_i00(F, A, B, C, D)) ) ) ) )  =>  (v15_aofa_000(k50_aofa_i00(A, B, C, D, E, F), A) & m1_subset_1(k50_aofa_i00(A, B, C, D, E, F), u1_struct_0(A))) ) ) ).
fof(dt_k51_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) & v1_int_1(F)) ) ) ) )  =>  (v15_aofa_000(k51_aofa_i00(A, B, C, D, E, F), A) & m1_subset_1(k51_aofa_i00(A, B, C, D, E, F), u1_struct_0(A))) ) ) ).
fof(dt_k52_aofa_i00, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m2_aofa_i00(E, A, B, C, D) &  (m2_aofa_i00(F, A, B, C, D) & m1_aofa_i00(G, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D)) ) ) ) ) )  =>  (v15_aofa_000(k52_aofa_i00(A, B, C, D, E, F, G), A) & m1_subset_1(k52_aofa_i00(A, B, C, D, E, F, G), u1_struct_0(A))) ) ) ).
fof(dt_k53_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) & m3_aofa_i00(F, A, B, C, D)) ) ) ) )  =>  (v15_aofa_000(k53_aofa_i00(A, B, C, D, E, F), A) & m1_subset_1(k53_aofa_i00(A, B, C, D, E, F), u1_struct_0(A))) ) ) ).
fof(dt_k54_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) & m3_aofa_i00(F, A, B, C, D)) ) ) ) )  =>  (v15_aofa_000(k54_aofa_i00(A, B, C, D, E, F), A) & m1_subset_1(k54_aofa_i00(A, B, C, D, E, F), u1_struct_0(A))) ) ) ).
fof(dt_k55_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) & m3_aofa_i00(F, A, B, C, D)) ) ) ) )  =>  (v15_aofa_000(k55_aofa_i00(A, B, C, D, E, F), A) & m1_subset_1(k55_aofa_i00(A, B, C, D, E, F), u1_struct_0(A))) ) ) ).
fof(dt_k56_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) & m3_aofa_i00(F, A, B, C, D)) ) ) ) )  =>  (v15_aofa_000(k56_aofa_i00(A, B, C, D, E, F), A) & m1_subset_1(k56_aofa_i00(A, B, C, D, E, F), u1_struct_0(A))) ) ) ).
fof(dt_k57_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) & v1_int_1(F)) ) ) ) )  =>  (v15_aofa_000(k57_aofa_i00(A, B, C, D, E, F), A) & m1_subset_1(k57_aofa_i00(A, B, C, D, E, F), u1_struct_0(A))) ) ) ).
fof(dt_k58_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) & v1_int_1(F)) ) ) ) )  =>  (v15_aofa_000(k58_aofa_i00(A, B, C, D, E, F), A) & m1_subset_1(k58_aofa_i00(A, B, C, D, E, F), u1_struct_0(A))) ) ) ).
fof(dt_k59_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) & v1_int_1(F)) ) ) ) )  =>  (v15_aofa_000(k59_aofa_i00(A, B, C, D, E, F), A) & m1_subset_1(k59_aofa_i00(A, B, C, D, E, F), u1_struct_0(A))) ) ) ).
fof(dt_k60_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) & v1_int_1(F)) ) ) ) )  =>  (v15_aofa_000(k60_aofa_i00(A, B, C, D, E, F), A) & m1_subset_1(k60_aofa_i00(A, B, C, D, E, F), u1_struct_0(A))) ) ) ).
fof(dt_k61_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) & v1_int_1(F)) ) ) ) )  => m3_aofa_i00(k61_aofa_i00(A, B, C, D, E, F), A, B, C, D)) ) ).
fof(dt_k62_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m2_aofa_i00(E, A, B, C, D) & v1_int_1(F)) ) ) ) )  =>  (v15_aofa_000(k62_aofa_i00(A, B, C, D, E, F), A) & m1_subset_1(k62_aofa_i00(A, B, C, D, E, F), u1_struct_0(A))) ) ) ).
fof(dt_k63_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m2_aofa_i00(E, A, B, C, D) & v1_int_1(F)) ) ) ) )  =>  (v15_aofa_000(k63_aofa_i00(A, B, C, D, E, F), A) & m1_subset_1(k63_aofa_i00(A, B, C, D, E, F), u1_struct_0(A))) ) ) ).
fof(dt_k64_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m2_aofa_i00(E, A, B, C, D) & v1_int_1(F)) ) ) ) )  =>  (v15_aofa_000(k64_aofa_i00(A, B, C, D, E, F), A) & m1_subset_1(k64_aofa_i00(A, B, C, D, E, F), u1_struct_0(A))) ) ) ).
fof(dt_k65_aofa_i00, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, B) &  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  & m3_aofa_i00(E, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D)) ) ) )  =>  (v15_aofa_000(k65_aofa_i00(A, B, C, D, E), A) & m1_subset_1(k65_aofa_i00(A, B, C, D, E), u1_struct_0(A))) ) ) ).
fof(dt_k66_aofa_i00, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, B) &  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  & m3_aofa_i00(E, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D)) ) ) )  =>  (v15_aofa_000(k66_aofa_i00(A, B, C, D, E), A) & m1_subset_1(k66_aofa_i00(A, B, C, D, E), u1_struct_0(A))) ) ) ).
fof(dt_k67_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, B) &  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  &  (m3_aofa_i00(E, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D) & m3_aofa_i00(F, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D)) ) ) ) )  =>  (v15_aofa_000(k67_aofa_i00(A, B, C, D, E, F), A) & m1_subset_1(k67_aofa_i00(A, B, C, D, E, F), u1_struct_0(A))) ) ) ).
fof(dt_k68_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, B) &  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  &  (m3_aofa_i00(E, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D) & m3_aofa_i00(F, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D)) ) ) ) )  =>  (v15_aofa_000(k68_aofa_i00(A, B, C, D, E, F), A) & m1_subset_1(k68_aofa_i00(A, B, C, D, E, F), u1_struct_0(A))) ) ) ).
fof(dt_k69_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, B) &  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  &  (m3_aofa_i00(E, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D) & m3_aofa_i00(F, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D)) ) ) ) )  =>  (v15_aofa_000(k69_aofa_i00(A, B, C, D, E, F), A) & m1_subset_1(k69_aofa_i00(A, B, C, D, E, F), u1_struct_0(A))) ) ) ).
fof(dt_k70_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, B) &  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  &  (m2_aofa_i00(E, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D) & m2_aofa_i00(F, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D)) ) ) ) )  =>  (v15_aofa_000(k70_aofa_i00(A, B, C, D, E, F), A) & m1_subset_1(k70_aofa_i00(A, B, C, D, E, F), u1_struct_0(A))) ) ) ).
fof(dt_k71_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, B) &  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  &  (m2_aofa_i00(E, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D) & m2_aofa_i00(F, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D)) ) ) ) )  =>  (v15_aofa_000(k71_aofa_i00(A, B, C, D, E, F), A) & m1_subset_1(k71_aofa_i00(A, B, C, D, E, F), u1_struct_0(A))) ) ) ).
fof(dt_k72_aofa_i00, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, B) &  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  & m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D)) ) ) )  =>  (v15_aofa_000(k72_aofa_i00(A, B, C, D, E), A) & m1_subset_1(k72_aofa_i00(A, B, C, D, E), u1_struct_0(A))) ) ) ).
fof(dt_k73_aofa_i00, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, B) &  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  & m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D)) ) ) )  =>  (v15_aofa_000(k73_aofa_i00(A, B, C, D, E), A) & m1_subset_1(k73_aofa_i00(A, B, C, D, E), u1_struct_0(A))) ) ) ).
fof(dt_k74_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, B) &  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  &  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) & m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D)) ) ) ) )  =>  (v15_aofa_000(k74_aofa_i00(A, B, C, D, E, F), A) & m1_subset_1(k74_aofa_i00(A, B, C, D, E, F), u1_struct_0(A))) ) ) ).
fof(dt_k75_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, B) &  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  &  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) & m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D)) ) ) ) )  =>  (v15_aofa_000(k75_aofa_i00(A, B, C, D, E, F), A) & m1_subset_1(k75_aofa_i00(A, B, C, D, E, F), u1_struct_0(A))) ) ) ).
fof(dt_k76_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, B) &  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  &  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) & v1_int_1(F)) ) ) ) )  =>  (v15_aofa_000(k76_aofa_i00(A, B, C, D, E, F), A) & m1_subset_1(k76_aofa_i00(A, B, C, D, E, F), u1_struct_0(A))) ) ) ).
fof(dt_k77_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, B) &  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  &  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) & v1_int_1(F)) ) ) ) )  =>  (v15_aofa_000(k77_aofa_i00(A, B, C, D, E, F), A) & m1_subset_1(k77_aofa_i00(A, B, C, D, E, F), u1_struct_0(A))) ) ) ).
fof(dt_k78_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, B) &  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  &  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) & v1_int_1(F)) ) ) ) )  =>  (v15_aofa_000(k78_aofa_i00(A, B, C, D, E, F), A) & m1_subset_1(k78_aofa_i00(A, B, C, D, E, F), u1_struct_0(A))) ) ) ).
fof(dt_k79_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, B) &  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  &  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) & v1_int_1(F)) ) ) ) )  =>  (v15_aofa_000(k79_aofa_i00(A, B, C, D, E, F), A) & m1_subset_1(k79_aofa_i00(A, B, C, D, E, F), u1_struct_0(A))) ) ) ).
fof(dt_k80_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, B) &  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  &  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) & v1_int_1(F)) ) ) ) )  => m3_aofa_i00(k80_aofa_i00(A, B, C, D, E, F), A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D)) ) ).
fof(dt_k81_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) & m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D)) ) ) ) )  =>  (v15_aofa_000(k81_aofa_i00(A, B, C, D, E, F), A) & m1_subset_1(k81_aofa_i00(A, B, C, D, E, F), u1_struct_0(A))) ) ) ).
fof(dt_k82_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) & m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D)) ) ) ) )  =>  (v15_aofa_000(k82_aofa_i00(A, B, C, D, E, F), A) & m1_subset_1(k82_aofa_i00(A, B, C, D, E, F), u1_struct_0(A))) ) ) ).
fof(dt_k83_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) & m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D)) ) ) ) )  =>  (v15_aofa_000(k83_aofa_i00(A, B, C, D, E, F), A) & m1_subset_1(k83_aofa_i00(A, B, C, D, E, F), u1_struct_0(A))) ) ) ).
fof(dt_k84_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) & m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D)) ) ) ) )  =>  (v15_aofa_000(k84_aofa_i00(A, B, C, D, E, F), A) & m1_subset_1(k84_aofa_i00(A, B, C, D, E, F), u1_struct_0(A))) ) ) ).
fof(dt_k85_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) & m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D)) ) ) ) )  => m3_aofa_i00(k85_aofa_i00(A, B, C, D, E, F), A, B, C, D)) ) ).
fof(dt_k86_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) & m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D)) ) ) ) )  => m3_aofa_i00(k86_aofa_i00(A, B, C, D, E, F), A, B, C, D)) ) ).
fof(dt_k87_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) & m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D)) ) ) ) )  => m3_aofa_i00(k87_aofa_i00(A, B, C, D, E, F), A, B, C, D)) ) ).
fof(dt_k88_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) & m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D)) ) ) ) )  => m3_aofa_i00(k88_aofa_i00(A, B, C, D, E, F), A, B, C, D)) ) ).
fof(dt_f1_s1_aofa_i00, axiom,  ( ~ (v2_struct_0(f1_s1_aofa_i00))  &  (v2_unialg_1(f1_s1_aofa_i00) &  (v3_unialg_1(f1_s1_aofa_i00) &  (v4_unialg_1(f1_s1_aofa_i00) &  (v3_aofa_000(f1_s1_aofa_i00) &  (v4_aofa_000(f1_s1_aofa_i00) &  (v5_aofa_000(f1_s1_aofa_i00) &  (v6_aofa_000(f1_s1_aofa_i00) &  (v2_aofa_i00(f1_s1_aofa_i00) & l1_unialg_1(f1_s1_aofa_i00)) ) ) ) ) ) ) ) ) ).
fof(dt_f2_s1_aofa_i00, axiom,  ( ~ (v1_xboole_0(f2_s1_aofa_i00))  & v4_card_3(f2_s1_aofa_i00)) ).
fof(dt_f3_s1_aofa_i00, axiom, m1_subset_1(f3_s1_aofa_i00, f2_s1_aofa_i00)).
fof(dt_f4_s1_aofa_i00, axiom, m1_subset_1(f4_s1_aofa_i00, u1_struct_0(f1_s1_aofa_i00))).
fof(dt_f5_s1_aofa_i00, axiom, m1_subset_1(f5_s1_aofa_i00, u1_struct_0(f1_s1_aofa_i00))).
fof(dt_f6_s1_aofa_i00, axiom,  (v1_aofa_i00(f6_s1_aofa_i00, f1_s1_aofa_i00, f2_s1_aofa_i00, k1_aofa_i00(k9_funct_2(f2_s1_aofa_i00, k4_numbers), f3_s1_aofa_i00, k5_numbers)) & m1_aofa_000(f6_s1_aofa_i00, f1_s1_aofa_i00, k9_funct_2(f2_s1_aofa_i00, k4_numbers), k1_aofa_i00(k9_funct_2(f2_s1_aofa_i00, k4_numbers), f3_s1_aofa_i00, k5_numbers))) ).
fof(dt_f7_s1_aofa_i00, axiom, m1_aofa_i00(f7_s1_aofa_i00, f2_s1_aofa_i00, u1_struct_0(f1_s1_aofa_i00), k9_funct_2(f2_s1_aofa_i00, k4_numbers), f6_s1_aofa_i00)).
fof(dt_f8_s1_aofa_i00, axiom, m1_aofa_i00(f8_s1_aofa_i00, f2_s1_aofa_i00, u1_struct_0(f1_s1_aofa_i00), k9_funct_2(f2_s1_aofa_i00, k4_numbers), f6_s1_aofa_i00)).
fof(dt_f9_s1_aofa_i00, axiom, m2_funct_2(f9_s1_aofa_i00, f2_s1_aofa_i00, k4_numbers, k9_funct_2(f2_s1_aofa_i00, k4_numbers))).
fof(dt_f10_s1_aofa_i00, axiom, m3_aofa_i00(f10_s1_aofa_i00, f1_s1_aofa_i00, f2_s1_aofa_i00, k1_aofa_i00(k9_funct_2(f2_s1_aofa_i00, k4_numbers), f3_s1_aofa_i00, k5_numbers), f6_s1_aofa_i00)).
fof(dt_f1_s2_aofa_i00, axiom,  ( ~ (v2_struct_0(f1_s2_aofa_i00))  &  (v2_unialg_1(f1_s2_aofa_i00) &  (v3_unialg_1(f1_s2_aofa_i00) &  (v4_unialg_1(f1_s2_aofa_i00) &  (v3_aofa_000(f1_s2_aofa_i00) &  (v4_aofa_000(f1_s2_aofa_i00) &  (v5_aofa_000(f1_s2_aofa_i00) &  (v6_aofa_000(f1_s2_aofa_i00) &  (v2_aofa_i00(f1_s2_aofa_i00) & l1_unialg_1(f1_s2_aofa_i00)) ) ) ) ) ) ) ) ) ).
fof(dt_f2_s2_aofa_i00, axiom,  ( ~ (v1_xboole_0(f2_s2_aofa_i00))  & v4_card_3(f2_s2_aofa_i00)) ).
fof(dt_f3_s2_aofa_i00, axiom, m1_subset_1(f3_s2_aofa_i00, f2_s2_aofa_i00)).
fof(dt_f4_s2_aofa_i00, axiom, m1_subset_1(f4_s2_aofa_i00, u1_struct_0(f1_s2_aofa_i00))).
fof(dt_f5_s2_aofa_i00, axiom, m1_subset_1(f5_s2_aofa_i00, u1_struct_0(f1_s2_aofa_i00))).
fof(dt_f6_s2_aofa_i00, axiom,  (v1_aofa_i00(f6_s2_aofa_i00, f1_s2_aofa_i00, f2_s2_aofa_i00, k1_aofa_i00(k9_funct_2(f2_s2_aofa_i00, k4_numbers), f3_s2_aofa_i00, k5_numbers)) & m1_aofa_000(f6_s2_aofa_i00, f1_s2_aofa_i00, k9_funct_2(f2_s2_aofa_i00, k4_numbers), k1_aofa_i00(k9_funct_2(f2_s2_aofa_i00, k4_numbers), f3_s2_aofa_i00, k5_numbers))) ).
fof(dt_f7_s2_aofa_i00, axiom, m1_aofa_i00(f7_s2_aofa_i00, f2_s2_aofa_i00, u1_struct_0(f1_s2_aofa_i00), k9_funct_2(f2_s2_aofa_i00, k4_numbers), f6_s2_aofa_i00)).
fof(dt_f8_s2_aofa_i00, axiom, m1_aofa_i00(f8_s2_aofa_i00, f2_s2_aofa_i00, u1_struct_0(f1_s2_aofa_i00), k9_funct_2(f2_s2_aofa_i00, k4_numbers), f6_s2_aofa_i00)).
fof(dt_f9_s2_aofa_i00, axiom, m2_funct_2(f9_s2_aofa_i00, f2_s2_aofa_i00, k4_numbers, k9_funct_2(f2_s2_aofa_i00, k4_numbers))).
fof(dt_f10_s2_aofa_i00, axiom, m3_aofa_i00(f10_s2_aofa_i00, f1_s2_aofa_i00, f2_s2_aofa_i00, k1_aofa_i00(k9_funct_2(f2_s2_aofa_i00, k4_numbers), f3_s2_aofa_i00, k5_numbers), f6_s2_aofa_i00)).
fof(dt_k89_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v1_xboole_0(A))  & v4_card_3(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) &  (v3_aofa_000(B) &  (v4_aofa_000(B) &  (v5_aofa_000(B) &  (v6_aofa_000(B) &  (v2_aofa_i00(B) & l1_unialg_1(B)) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(A, k4_numbers))) &  ( (v1_aofa_i00(D, B, A, C) & m1_aofa_000(D, B, k9_funct_2(A, k4_numbers), C))  &  (m1_subset_1(E, k9_funct_2(A, k4_numbers)) & m1_subset_1(F, u1_struct_0(B))) ) ) ) )  => m2_funct_2(k89_aofa_i00(A, B, C, D, E, F), A, k4_numbers, k9_funct_2(A, k4_numbers))) ) ).
fof(redefinition_k89_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v1_xboole_0(A))  & v4_card_3(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) &  (v3_aofa_000(B) &  (v4_aofa_000(B) &  (v5_aofa_000(B) &  (v6_aofa_000(B) &  (v2_aofa_i00(B) & l1_unialg_1(B)) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(A, k4_numbers))) &  ( (v1_aofa_i00(D, B, A, C) & m1_aofa_000(D, B, k9_funct_2(A, k4_numbers), C))  &  (m1_subset_1(E, k9_funct_2(A, k4_numbers)) & m1_subset_1(F, u1_struct_0(B))) ) ) ) )  => k89_aofa_i00(A, B, C, D, E, F)=k1_binop_1(D, E, F)) ) ).
fof(d1_aofa_i00, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_funct_1(A))  =>  (! [B] :  (! [C] : k1_aofa_i00(A, B, C)=a_3_0_aofa_i00(A, B, C)) ) ) ) ).
fof(d38_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  =>  (! [E] :  (m2_aofa_i00(E, A, B, C, D) =>  (! [F] :  (m3_aofa_i00(F, A, B, C, D) => k44_aofa_i00(A, B, C, D, E, F)=o_6_0_aofa_i00(A, B, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [G] :  (m1_aofa_i00(G, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  ( (? [H] :  ( (v1_relat_1(H) & v1_funct_1(H))  &  (k1_funct_1(H, C)=k5_numbers &  (k1_funct_1(H, E)=1 &  (k1_funct_1(H, F)=2 & k1_funct_1(H, G)=3) ) ) ) )  => r6_aofa_000(A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), k16_aofa_000(A, k78_aofa_i00(A, B, C, D, F, k5_numbers), k13_aofa_000(A, k13_aofa_000(A, k13_aofa_000(A, k48_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, G, E), k83_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, G, F)), k48_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, E, F)), k48_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, F, G))), D, a_6_2_aofa_i00(A, B, C, D, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [G] :  (m1_aofa_i00(G, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  ( (? [H] :  ( (v1_relat_1(H) & v1_funct_1(H))  &  (k1_funct_1(H, C)=k5_numbers &  (k1_funct_1(H, E)=1 &  (k1_funct_1(H, F)=2 & k1_funct_1(H, G)=3) ) ) ) )  => r6_aofa_000(A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), k16_aofa_000(A, k78_aofa_i00(A, B, C, D, F, k5_numbers), k13_aofa_000(A, k13_aofa_000(A, k13_aofa_000(A, k47_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, G, k32_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, k42_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, E), k42_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, F))), k15_aofa_000(A, k79_aofa_i00(A, B, C, D, G, k5_numbers), k58_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, G, k4_xcmplx_0(1)))), k48_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, E, F)), k48_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, F, G))), D, a_6_3_aofa_i00(A, B, C, D, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_aofa_i00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_aofa_i00(D, A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers)))  =>  (! [E] :  (m1_aofa_i00(E, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [F] :  (m1_aofa_i00(F, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  (! [G] :  (m1_aofa_i00(G, B, u1_struct_0(A), k9_funct_2(B, k4_numbers), D) =>  ( (? [H] :  ( (v1_relat_1(H) & v1_funct_1(H))  &  (k1_funct_1(H, C)=k5_numbers &  (k1_funct_1(H, E)=1 &  (k1_funct_1(H, F)=2 & k1_funct_1(H, G)=3) ) ) ) )  => r6_aofa_000(A, k9_funct_2(B, k4_numbers), k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), k13_aofa_000(A, k51_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, F, 1), k16_aofa_000(A, k78_aofa_i00(A, B, C, D, G, k5_numbers), k13_aofa_000(A, k13_aofa_000(A, k15_aofa_000(A, k72_aofa_i00(A, B, C, D, G), k82_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, F, E)), k60_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, G, 2)), k82_aofa_i00(A, B, k1_aofa_i00(k9_funct_2(B, k4_numbers), C, k5_numbers), D, E, E)))), D, a_5_0_aofa_i00(A, B, C, D, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_aofa_i00, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  & v4_funct_1(B))  =>  (r2_hidden(A, a_3_0_aofa_i00(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, B) &  (A=E &  ~ (k1_funct_1(E, C)=D) ) ) ) ) ) ) ).
fof(dt_o_6_0_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) &  (v2_aofa_i00(A) & l1_unialg_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & v4_card_3(B))  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, k4_numbers))) &  ( (v1_aofa_i00(D, A, B, C) & m1_aofa_000(D, A, k9_funct_2(B, k4_numbers), C))  &  (m2_aofa_i00(E, A, B, C, D) & m3_aofa_i00(F, A, B, C, D)) ) ) ) )  => m1_subset_1(o_6_0_aofa_i00(A, B, C, D, E, F), a_6_1_aofa_i00(A, B, C, D, E, F))) ) ).
fof(fraenkel_a_6_1_aofa_i00, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) &  (v3_aofa_000(B) &  (v4_aofa_000(B) &  (v5_aofa_000(B) &  (v6_aofa_000(B) &  (v2_aofa_i00(B) & l1_unialg_1(B)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(C))  & v4_card_3(C))  &  (m1_subset_1(D, k1_zfmisc_1(k9_funct_2(C, k4_numbers))) &  ( (v1_aofa_i00(E, B, C, D) & m1_aofa_000(E, B, k9_funct_2(C, k4_numbers), D))  &  (m2_aofa_i00(F, B, C, D, E) & m3_aofa_i00(G, B, C, D, E)) ) ) ) )  =>  (r2_hidden(A, a_6_1_aofa_i00(B, C, D, E, F, G)) <=>  (? [H] :  (m1_subset_1(H, u1_struct_0(B)) &  (A=H &  (r2_tarski(H, k18_aofa_000(B)) &  (! [I] :  (m2_funct_2(I, C, k4_numbers, k9_funct_2(C, k4_numbers)) => k2_binop_1(k9_funct_2(C, k4_numbers), u1_struct_0(B), k9_funct_2(C, k4_numbers), E, I, H)=k14_funct_7(C, k4_numbers, I, k3_funct_2(k9_funct_2(C, k4_numbers), C, F, I), k3_funct_2(k9_funct_2(C, k4_numbers), k4_numbers, G, I))) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_6_2_aofa_i00, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) &  (v3_aofa_000(B) &  (v4_aofa_000(B) &  (v5_aofa_000(B) &  (v6_aofa_000(B) &  (v2_aofa_i00(B) & l1_unialg_1(B)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(C))  & v4_card_3(C))  &  (m1_subset_1(D, C) &  ( (v1_aofa_i00(E, B, C, k1_aofa_i00(k9_funct_2(C, k4_numbers), D, k5_numbers)) & m1_aofa_000(E, B, k9_funct_2(C, k4_numbers), k1_aofa_i00(k9_funct_2(C, k4_numbers), D, k5_numbers)))  &  (m1_aofa_i00(F, C, u1_struct_0(B), k9_funct_2(C, k4_numbers), E) & m1_aofa_i00(G, C, u1_struct_0(B), k9_funct_2(C, k4_numbers), E)) ) ) ) )  =>  (r2_hidden(A, a_6_2_aofa_i00(B, C, D, E, F, G)) <=>  (? [H] :  (m2_funct_2(H, C, k4_numbers, k9_funct_2(C, k4_numbers)) &  (A=H &  ( ~ (r1_xxreal_0(k21_aofa_i00(C, k4_numbers, H, F), k21_aofa_i00(C, k4_numbers, H, G)))  & r1_xxreal_0(k5_numbers, k21_aofa_i00(C, k4_numbers, H, G))) ) ) ) ) ) ) ).
fof(fraenkel_a_6_3_aofa_i00, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) &  (v3_aofa_000(B) &  (v4_aofa_000(B) &  (v5_aofa_000(B) &  (v6_aofa_000(B) &  (v2_aofa_i00(B) & l1_unialg_1(B)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(C))  & v4_card_3(C))  &  (m1_subset_1(D, C) &  ( (v1_aofa_i00(E, B, C, k1_aofa_i00(k9_funct_2(C, k4_numbers), D, k5_numbers)) & m1_aofa_000(E, B, k9_funct_2(C, k4_numbers), k1_aofa_i00(k9_funct_2(C, k4_numbers), D, k5_numbers)))  &  (m1_aofa_i00(F, C, u1_struct_0(B), k9_funct_2(C, k4_numbers), E) & m1_aofa_i00(G, C, u1_struct_0(B), k9_funct_2(C, k4_numbers), E)) ) ) ) )  =>  (r2_hidden(A, a_6_3_aofa_i00(B, C, D, E, F, G)) <=>  (? [H] :  (m2_funct_2(H, C, k4_numbers, k9_funct_2(C, k4_numbers)) &  (A=H &  (r1_xxreal_0(k5_numbers, k21_aofa_i00(C, k4_numbers, H, F)) & r1_xxreal_0(k5_numbers, k21_aofa_i00(C, k4_numbers, H, G))) ) ) ) ) ) ) ).
fof(fraenkel_a_5_0_aofa_i00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) &  (v3_aofa_000(B) &  (v4_aofa_000(B) &  (v5_aofa_000(B) &  (v6_aofa_000(B) &  (v2_aofa_i00(B) & l1_unialg_1(B)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(C))  & v4_card_3(C))  &  (m1_subset_1(D, C) &  ( (v1_aofa_i00(E, B, C, k1_aofa_i00(k9_funct_2(C, k4_numbers), D, k5_numbers)) & m1_aofa_000(E, B, k9_funct_2(C, k4_numbers), k1_aofa_i00(k9_funct_2(C, k4_numbers), D, k5_numbers)))  & m1_aofa_i00(F, C, u1_struct_0(B), k9_funct_2(C, k4_numbers), E)) ) ) )  =>  (r2_hidden(A, a_5_0_aofa_i00(B, C, D, E, F)) <=>  (? [G] :  (m2_funct_2(G, C, k4_numbers, k9_funct_2(C, k4_numbers)) &  (A=G & r1_xxreal_0(k5_numbers, k21_aofa_i00(C, k4_numbers, G, F))) ) ) ) ) ) ).
fof(fc1_aofa_l00, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v3_relat_1(A))  & v1_funct_1(A)) )  =>  ~ (v1_xboole_0(k3_card_3(A))) ) ) ).
fof(fc2_aofa_l00, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  &  ~ (v1_xboole_0(D)) )  =>  (v1_relat_1(k1_funct_7(B, C, D)) &  (v2_relat_1(k1_funct_7(B, C, D)) & v1_funct_1(k1_funct_7(B, C, D))) ) ) ) ).
fof(rc1_aofa_l00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (? [B] :  (l1_aofa_a00(B, A) &  (v4_msualg_1(B, A) & v1_aofa_a00(B, A)) ) ) ) ) ).
fof(fc3_aofa_l00, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k1_funct_4(B, A)) &  (v1_funct_1(k1_funct_4(B, A)) & v1_aofa_l00(k1_funct_4(B, A), A)) ) ) ) ).
fof(fc4_aofa_l00, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, B)) ) ) )  =>  (v1_relat_1(k1_funct_4(C, k5_relat_1(A, B))) &  (v1_funct_1(k1_funct_4(C, k5_relat_1(A, B))) & v1_aofa_l00(k1_funct_4(C, k5_relat_1(A, B)), A)) ) ) ) ).
fof(rc2_aofa_l00, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v1_aofa_l00(C, B)) ) ) ) ) ) ) ).
fof(rc3_aofa_l00, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) & v1_funct_1(B)) )  =>  (? [C] :  (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v1_aofa_l00(C, B)) ) ) ) ) ) ) ) ).
fof(fc5_aofa_l00, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) ) )  =>  ~ (v1_xboole_0(k3_card_3(B))) ) ) ).
fof(cc1_aofa_l00, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  =>  (! [B] :  (m2_algspec1(B, A) => v2_aofa_l00(B, A)) ) ) ) ).
fof(fc6_aofa_l00, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k2_aofa_l00(A, B, C)) &  (v4_relat_1(k2_aofa_l00(A, B, C), B) &  (v1_funct_1(k2_aofa_l00(A, B, C)) &  (v1_partfun1(k2_aofa_l00(A, B, C), B) & v1_aofa_l00(k2_aofa_l00(A, B, C), A)) ) ) ) ) ) ).
fof(rc4_aofa_l00, axiom,  (? [A] :  (l1_aofa_l00(A) & v3_aofa_l00(A)) ) ).
fof(rc5_aofa_l00, axiom,  (! [A] :  (? [B] :  (l2_aofa_l00(B, A) & v4_aofa_l00(B, A)) ) ) ).
fof(rc6_aofa_l00, axiom,  (! [A] :  (? [B] :  (l3_aofa_l00(B, A) & v5_aofa_l00(B, A)) ) ) ).
fof(cc2_aofa_l00, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (l1_aofa_l00(B) =>  (v6_aofa_l00(B, A) =>  ~ (v11_struct_0(B)) ) ) ) ) ) ).
fof(rc7_aofa_l00, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (? [C] :  (l2_aofa_l00(C, B) &  ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v6_aofa_l00(C, A) & v7_aofa_l00(C, B)) ) ) ) ) ) ) ).
fof(rc8_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (? [B] :  (l1_aofa_l00(B) &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & v6_aofa_l00(B, A)) ) ) ) ) ) ).
fof(rc9_aofa_l00, axiom,  (! [A] :  (? [B] :  (l3_aofa_l00(B, A) &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & v5_aofa_l00(B, A)) ) ) ) ) ).
fof(cc3_aofa_l00, axiom,  (! [A] :  (v3_ordinal1(A) =>  ~ (v1_xtuple_0(A)) ) ) ).
fof(cc4_aofa_l00, axiom,  (! [A] :  ( (v1_relat_1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  (m1_subset_1(B, A) => v1_xtuple_0(B)) ) ) ) ).
fof(rc10_aofa_l00, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v1_instalg1(C) & l1_msualg_1(C)) ) )  =>  (? [D] :  (l3_aofa_l00(D, B) &  ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v14_struct_0(D) &  (v1_instalg1(D) &  (v2_aofa_l00(D, C) &  (v5_aofa_l00(D, B) &  (v6_aofa_l00(D, A) &  (v7_aofa_l00(D, B) & v8_aofa_l00(D, A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc11_aofa_l00, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  ~ (v1_xboole_0(B)) ) )  =>  (? [C] :  (l3_aofa_l00(C, A) &  ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v14_struct_0(C) &  (v1_instalg1(C) &  (v5_aofa_l00(C, A) &  (v6_aofa_l00(C, B) &  (v7_aofa_l00(C, A) & v8_aofa_l00(C, B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc12_aofa_l00, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_card_3(B), C), k3_card_3(B)))) &  (v1_relat_1(D) &  (v4_relat_1(D, k2_zfmisc_1(k3_card_3(B), C)) &  (v5_relat_1(D, k3_card_3(B)) &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k3_card_3(B), C), k3_card_3(B)) & v10_aofa_l00(D, A, B, C)) ) ) ) ) ) ) ) ) ).
fof(rc13_aofa_l00, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (? [C] :  (l4_aofa_l00(C, A, B) & v11_aofa_l00(C, A, B)) ) ) ) ).
fof(rc14_aofa_l00, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (? [C] :  (l4_aofa_l00(C, A, B) & v4_msualg_1(C, A)) ) ) ) ).
fof(cc5_aofa_l00, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  (l1_msualg_1(B) =>  ( (v1_instalg1(B) & v2_aofa_l00(B, A))  =>  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & v1_instalg1(B)) ) ) ) ) ) ) ).
fof(rc15_aofa_l00, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  =>  (? [B] :  (l1_msualg_1(B) &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v14_struct_0(B) &  (v1_instalg1(B) & v2_aofa_l00(B, A)) ) ) ) ) ) ) ) ).
fof(rc16_aofa_l00, axiom,  (! [A, B] :  ( ( (v1_instalg1(A) & l1_msualg_1(A))  &  ~ (v1_xboole_0(B)) )  =>  (? [C] :  (l2_aofa_l00(C, B) &  ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v14_struct_0(C) &  (v1_instalg1(C) & v2_aofa_l00(C, A)) ) ) ) ) ) ) ) ).
fof(rc17_aofa_l00, axiom,  (! [A, B, C] :  ( ( (v1_instalg1(A) & l1_msualg_1(A))  &  ( ~ (v1_xboole_0(B))  &  (v7_ordinal1(C) &  ~ (v1_xboole_0(C)) ) ) )  =>  (? [D] :  (l2_aofa_l00(D, B) &  ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v14_struct_0(D) &  (v1_instalg1(D) &  (v2_aofa_l00(D, A) &  (v6_aofa_l00(D, C) & v7_aofa_l00(D, B)) ) ) ) ) ) ) ) ) ) ).
fof(rc18_aofa_l00, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v1_instalg1(C) & l1_msualg_1(C)) ) )  =>  (? [D] :  (l3_aofa_l00(D, B) &  ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v14_struct_0(D) &  (v1_instalg1(D) &  (v2_aofa_l00(D, C) &  (v5_aofa_l00(D, B) &  (v6_aofa_l00(D, A) &  (v7_aofa_l00(D, B) &  (v8_aofa_l00(D, A, B) & v14_aofa_l00(D, C, B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc19_aofa_l00, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v1_instalg1(B) &  (v2_aofa_l00(B, A) & l1_msualg_1(B)) ) )  &  (v1_relat_1(C) &  ( ~ (v3_relat_1(C))  &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) ) ) )  =>  (? [D] :  (v1_relat_1(D) &  ( ~ (v3_relat_1(D))  &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  ( ~ (v1_xboole_0(D))  &  (v1_partfun1(D, u1_struct_0(B)) & v1_aofa_l00(D, C)) ) ) ) ) ) ) ) ) ).
fof(rc20_aofa_l00, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  &  ( (v1_instalg1(B) &  (v2_aofa_l00(B, A) & l1_msualg_1(B)) )  & l3_msualg_1(C, A)) )  =>  (? [D] :  (l3_msualg_1(D, B) & v15_aofa_l00(D, A, B, C)) ) ) ) ).
fof(rc21_aofa_l00, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  &  ( (v1_instalg1(B) &  (v2_aofa_l00(B, A) & l1_msualg_1(B)) )  &  (v4_msualg_1(C, A) & l3_msualg_1(C, A)) ) )  =>  (? [D] :  (l3_msualg_1(D, B) &  (v4_msualg_1(D, B) &  ( ~ (v1_catalg_1(D, B))  & v15_aofa_l00(D, A, B, C)) ) ) ) ) ) ).
fof(fc7_aofa_l00, axiom,  (! [A, B] :  (v1_relat_1(k7_funct_3(A, k1_tarski(B))) &  (v1_funct_1(k7_funct_3(A, k1_tarski(B))) & v2_funct_1(k7_funct_3(A, k1_tarski(B)))) ) ) ).
fof(rc22_aofa_l00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (? [B] :  (l1_msualg_1(B) &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v14_struct_0(B) &  (v1_instalg1(B) & v2_aofa_l00(B, A)) ) ) ) ) ) ) ) ).
fof(rc23_aofa_l00, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (? [C] :  (l2_aofa_l00(C, B) &  ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v14_struct_0(C) &  (v1_instalg1(C) & v2_aofa_l00(C, A)) ) ) ) ) ) ) ) ).
fof(rc24_aofa_l00, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  &  (v7_ordinal1(C) &  ~ (v1_xboole_0(C)) ) )  =>  (? [D] :  (l2_aofa_l00(D, B) &  ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v14_struct_0(D) &  (v1_instalg1(D) &  (v2_aofa_l00(D, A) &  (v6_aofa_l00(D, C) & v7_aofa_l00(D, B)) ) ) ) ) ) ) ) ) ) ).
fof(rc25_aofa_l00, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( ( ~ (v3_relat_1(C))  & m1_msafree(C, A, B))  &  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_aofa_l00(D, A) & l2_aofa_l00(D, k4_aofa_l00(A, B, C))) ) )  &  (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(D)) &  (v1_funct_1(E) &  (v1_partfun1(E, u1_struct_0(D)) & v1_aofa_l00(E, C)) ) ) ) ) ) ) )  =>  (? [F] :  (l5_aofa_l00(F, A, B, C, D, E) & v16_aofa_l00(F, A, B, C, D, E)) ) ) ) ).
fof(cc6_aofa_l00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_aofa_l00(A))  =>  (! [B] :  (l3_msualg_1(B, A) =>  (v4_msualg_1(B, A) => v17_aofa_l00(B, A)) ) ) ) ) ).
fof(rc26_aofa_l00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_aofa_l00(A))  =>  (? [B] :  (l3_msualg_1(B, A) & v17_aofa_l00(B, A)) ) ) ) ).
fof(rc27_aofa_l00, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( ( ~ (v3_relat_1(C))  & m1_msafree(C, A, B))  &  ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_aofa_l00(D, A) & l2_aofa_l00(D, k4_aofa_l00(A, B, C))) ) ) ) ) )  =>  (? [E] :  (v1_relat_1(E) &  ( ~ (v3_relat_1(E))  &  (v4_relat_1(E, u1_struct_0(D)) &  (v1_funct_1(E) &  ( ~ (v1_xboole_0(E))  &  (v1_partfun1(E, u1_struct_0(D)) & v1_aofa_l00(E, C)) ) ) ) ) ) ) ) ) ).
fof(rc28_aofa_l00, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( ( ~ (v3_relat_1(C))  & m1_msafree(C, A, B))  &  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_aofa_l00(D, A) & l2_aofa_l00(D, k4_aofa_l00(A, B, C))) ) )  &  (v1_relat_1(E) &  ( ~ (v3_relat_1(E))  &  (v4_relat_1(E, u1_struct_0(D)) &  (v1_funct_1(E) &  (v1_partfun1(E, u1_struct_0(D)) & v1_aofa_l00(E, C)) ) ) ) ) ) ) ) )  =>  (? [F] :  (l5_aofa_l00(F, A, B, C, D, E) &  (v4_msualg_1(F, D) &  (v15_aofa_l00(F, A, D, B) & v17_aofa_l00(F, D)) ) ) ) ) ) ).
fof(fc8_aofa_l00, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v1_instalg1(B) &  (v2_aofa_l00(B, A) & l1_msualg_1(B)) ) )  &  (v1_relat_1(C) &  ( ~ (v3_relat_1(C))  &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) ) ) )  =>  (v1_relat_1(k2_aofa_l00(C, u1_struct_0(B), D)) &  ( ~ (v3_relat_1(k2_aofa_l00(C, u1_struct_0(B), D)))  &  (v4_relat_1(k2_aofa_l00(C, u1_struct_0(B), D), u1_struct_0(B)) &  (v1_funct_1(k2_aofa_l00(C, u1_struct_0(B), D)) & v1_partfun1(k2_aofa_l00(C, u1_struct_0(B), D), u1_struct_0(B))) ) ) ) ) ) ).
fof(rc29_aofa_l00, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( ( ~ (v3_relat_1(C))  & m1_msafree(C, A, B))  &  ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_aofa_l00(D, A) & l2_aofa_l00(D, k4_aofa_l00(A, B, C))) ) ) ) ) )  =>  (? [E] :  (l5_aofa_l00(E, A, B, C, D, k2_aofa_l00(C, u1_struct_0(D), k1_xboole_0)) &  (v4_msualg_1(E, D) &  (v9_aofa_l00(E, D, k2_aofa_l00(C, u1_struct_0(D), k1_xboole_0)) &  (v15_aofa_l00(E, A, D, B) & v17_aofa_l00(E, D)) ) ) ) ) ) ) ).
fof(fc9_aofa_l00, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l2_aofa_l00(B, A))  &  (v17_aofa_l00(C, B) & l3_msualg_1(C, B)) )  =>  ~ (v1_xboole_0(k1_funct_1(u3_msualg_1(B, C), u1_aofa_l00(B)))) ) ) ).
fof(rc30_aofa_l00, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  (? [C] :  (m1_aofa_l00(C, A, B) &  ~ (v1_xboole_0(C)) ) ) ) ) ).
fof(rc31_aofa_l00, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( ( ~ (v3_relat_1(C))  & m1_msafree(C, A, B))  &  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_aofa_l00(D, A) & l2_aofa_l00(D, k4_aofa_l00(A, B, C))) ) )  &  (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(D)) &  (v1_funct_1(E) &  (v1_partfun1(E, u1_struct_0(D)) & v1_aofa_l00(E, C)) ) ) ) ) ) ) )  =>  (? [F] :  (l6_aofa_l00(F, A, B, C, D, E) & v22_aofa_l00(F, A, B, C, D, E)) ) ) ) ).
fof(rc32_aofa_l00, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( ~ (v3_relat_1(C))  & m1_msafree(C, A, B)) ) )  =>  (? [D] :  (l3_aofa_l00(D, k4_aofa_l00(A, B, C)) &  ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v14_struct_0(D) &  (v1_instalg1(D) & v2_aofa_l00(D, A)) ) ) ) ) ) ) ) ).
fof(rc33_aofa_l00, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( ( ~ (v3_relat_1(C))  & m1_msafree(C, A, B))  &  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_aofa_l00(D, A) & l3_aofa_l00(D, k4_aofa_l00(A, B, C))) ) )  &  (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(D)) &  (v1_funct_1(E) &  (v1_partfun1(E, u1_struct_0(D)) & v1_aofa_l00(E, C)) ) ) ) ) ) ) )  =>  (? [F] :  (l6_aofa_l00(F, A, B, C, D, E) &  ( ~ (v2_struct_0(F))  & v22_aofa_l00(F, A, B, C, D, E)) ) ) ) ) ).
fof(rc34_aofa_l00, axiom,  (! [A, B, C, D, E, F] :  ( ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  &  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  &  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  &  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v1_instalg1(E) &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v14_aofa_l00(E, B, k4_aofa_l00(B, C, D), A) & l3_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) ) )  &  (v1_relat_1(F) &  (v4_relat_1(F, u1_struct_0(E)) &  (v1_funct_1(F) &  (v1_partfun1(F, u1_struct_0(E)) & v1_aofa_l00(F, D)) ) ) ) ) ) ) ) )  =>  (? [G] :  (l6_aofa_l00(G, B, C, D, E, F) &  ( ~ (v2_struct_0(G))  &  (v2_unialg_1(G) &  (v3_unialg_1(G) &  (v4_unialg_1(G) &  (v4_msualg_1(G, E) &  (v3_aofa_000(G) &  (v4_aofa_000(G) &  (v5_aofa_000(G) &  (v6_aofa_000(G) &  (v15_aofa_l00(G, B, E, C) &  (v17_aofa_l00(G, E) &  (v22_aofa_l00(G, B, C, D, E, F) & v23_aofa_l00(G, B, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc35_aofa_l00, axiom,  (! [A, B, C, D, E] :  ( ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  &  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  &  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  &  ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) &  (v14_aofa_l00(E, B, k4_aofa_l00(B, C, D), A) & l3_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) ) ) ) ) ) )  =>  (? [F] :  (l6_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  ( ~ (v2_struct_0(F))  &  (v2_unialg_1(F) &  (v3_unialg_1(F) &  (v4_unialg_1(F) &  (v4_msualg_1(F, E) &  (v3_aofa_000(F) &  (v4_aofa_000(F) &  (v5_aofa_000(F) &  (v6_aofa_000(F) &  ( ~ (v10_aofa_000(F))  &  (v11_aofa_000(F) &  (v12_aofa_000(F) &  ( ~ (v1_catalg_1(F, E))  &  (v2_aofa_a00(F, E) &  (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) &  (v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v20_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v21_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & v23_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc10_aofa_l00, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  &  (v17_aofa_l00(C, B) & l3_msualg_1(C, B)) ) )  => v24_aofa_l00(k2_subset_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))), A, B, C)) ) ).
fof(cc7_aofa_l00, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  &  (v17_aofa_l00(C, B) & l3_msualg_1(C, B)) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))) =>  (v24_aofa_l00(D, A, B, C) =>  ~ (v1_xboole_0(D)) ) ) ) ) ) ).
fof(rc36_aofa_l00, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  &  (v17_aofa_l00(C, B) & l3_msualg_1(C, B)) ) )  =>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))) & v24_aofa_l00(D, A, B, C)) ) ) ) ).
fof(fc11_aofa_l00, axiom,  (! [A, B, C, D, E, F] :  ( ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  &  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  &  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  &  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  &  (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) ) ) ) ) ) )  => v25_aofa_l00(k2_subset_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))), A, B, C, D, E, F)) ) ).
fof(rc37_aofa_l00, axiom,  (! [A, B, C, D, E, F] :  ( ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  &  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  &  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  &  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  &  (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) ) ) ) ) ) )  =>  (? [G] :  (m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E)))) &  (v24_aofa_l00(G, A, E, F) & v25_aofa_l00(G, A, B, C, D, E, F)) ) ) ) ) ).
fof(fc12_aofa_l00, axiom,  (! [A, B, C, D, E, F] :  ( ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  &  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  &  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  &  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  &  (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) ) ) ) ) ) )  => v28_aofa_l00(k2_subset_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))), A, B, C, D, E, F)) ) ).
fof(rc38_aofa_l00, axiom,  (! [A, B, C, D, E, F] :  ( ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  &  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  &  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  &  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  &  (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) ) ) ) ) ) )  =>  (? [G] :  (m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E)))) &  (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) & v28_aofa_l00(G, A, B, C, D, E, F)) ) ) ) ) ) ).
fof(rc39_aofa_l00, axiom,  (! [A, B, C, D, E, F, G] :  ( ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  &  ( (v4_msualg_1(C, B) & l1_aofa_a00(C, B))  &  ( (v2_relat_1(D) & m1_msafree(D, B, C))  &  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) &  (v8_aofa_l00(E, A, k4_aofa_l00(B, C, D)) &  (v14_aofa_l00(E, B, k4_aofa_l00(B, C, D), A) & l3_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(F))  &  (v2_unialg_1(F) &  (v3_unialg_1(F) &  (v4_unialg_1(F) &  (v4_msualg_1(F, E) &  (v3_aofa_000(F) &  (v4_aofa_000(F) &  (v5_aofa_000(F) &  (v6_aofa_000(F) &  ( ~ (v10_aofa_000(F))  &  (v11_aofa_000(F) &  (v12_aofa_000(F) &  (v2_aofa_a00(F, E) &  (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) &  (v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v21_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v23_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & l6_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(G, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E)))) ) ) ) ) )  =>  (? [H] :  (m1_subset_1(H, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E)))) &  ( ~ (v1_xboole_0(H))  &  (v24_aofa_l00(H, A, E, F) &  (v25_aofa_l00(H, A, B, C, D, E, F) &  (v28_aofa_l00(H, A, B, C, D, E, F) & v29_aofa_l00(H, A, B, C, D, E, F, G)) ) ) ) ) ) ) ) ).
fof(d1_aofa_l00, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (v1_aofa_l00(B, A) <=> r1_partfun1(A, B)) ) ) ) ) ).
fof(t1_aofa_l00, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (v1_aofa_l00(B, A) <=>  (! [C] :  ( (r2_hidden(C, k9_xtuple_0(A)) & r2_hidden(C, k9_xtuple_0(B)))  => k1_funct_1(A, C)=k1_funct_1(B, C)) ) ) ) ) ) ) ).
fof(t2_aofa_l00, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) & v1_partfun1(D, B)) ) )  =>  (v1_aofa_l00(D, C) <=>  (! [E] :  ( (r2_hidden(E, A) & r2_hidden(E, B))  => k1_funct_1(C, E)=k1_funct_1(D, E)) ) ) ) ) ) ) ) ) ).
fof(t3_aofa_l00, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => r1_partfun1(A, k1_funct_4(B, A))) ) ) ) ).
fof(t4_aofa_l00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (l3_msualg_1(D, A) =>  (r1_aofa_a00(A, B, k1_xboole_0, C) => r2_tarski(k1_xboole_0, k3_msualg_1(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t5_aofa_l00, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (l3_msualg_1(F, B) =>  ( (r1_aofa_a00(B, C, k12_finseq_1(u1_struct_0(B), D), E) & r2_hidden(A, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, F), D)))  => r2_tarski(k9_finseq_1(A), k3_msualg_1(B, C, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_aofa_l00, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  & l1_msualg_1(C)) )  =>  (! [D] :  (m1_subset_1(D, u4_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(C)) =>  (! [H] :  (l3_msualg_1(H, C) =>  ( (r1_aofa_a00(C, D, k2_finseq_4(u1_struct_0(C), E, F), G) &  (r2_hidden(A, k1_msafree4(u1_struct_0(C), u3_msualg_1(C, H), E)) & r2_hidden(B, k1_msafree4(u1_struct_0(C), u3_msualg_1(C, H), F))) )  => r2_tarski(k10_finseq_1(A, B), k3_msualg_1(C, D, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_aofa_l00, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  & l1_msualg_1(D)) )  =>  (! [E] :  (m1_subset_1(E, u4_struct_0(D)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(D)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(D)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(D)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(D)) =>  (! [J] :  (l3_msualg_1(J, D) =>  ( (r1_aofa_a00(D, E, k3_finseq_4(u1_struct_0(D), F, G, H), I) &  (r2_hidden(A, k1_msafree4(u1_struct_0(D), u3_msualg_1(D, J), F)) &  (r2_hidden(B, k1_msafree4(u1_struct_0(D), u3_msualg_1(D, J), G)) & r2_hidden(C, k1_msafree4(u1_struct_0(D), u3_msualg_1(D, J), H))) ) )  => r2_tarski(k11_finseq_1(A, B, C), k3_msualg_1(D, E, J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_aofa_l00, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  =>  (! [B] :  ( (v1_instalg1(B) & l1_msualg_1(B))  =>  (v2_aofa_l00(B, A) <=> m1_instalg1(A, B)) ) ) ) ) ).
fof(t8_aofa_l00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) )  =>  (v2_aofa_l00(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => m1_subset_1(C, u1_struct_0(B))) ) ) ) ) ) ) ).
fof(t9_aofa_l00, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) )  =>  (v2_aofa_l00(B, A) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( (E=F & r1_aofa_a00(A, C, D, E))  => r1_aofa_a00(B, C, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_aofa_l00, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] : k2_aofa_l00(A, B, C)=k1_funct_4(k7_funcop_1(B, C), k5_relat_1(A, B))) ) ) ) ).
fof(d4_aofa_l00, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (l1_aofa_l00(B) =>  (v6_aofa_l00(B, A) <=>  (r1_xxreal_0(k2_xcmplx_0(A, 5), k3_finseq_1(u7_aofa_a00(B))) &  (v2_funct_1(k2_partfun1(k4_ordinal1, u4_struct_0(B), u7_aofa_a00(B), k4_enumset1(A, k2_xcmplx_0(A, 1), k2_xcmplx_0(A, 2), k2_xcmplx_0(A, 3), k2_xcmplx_0(A, 4), k2_xcmplx_0(A, 5)))) &  (r1_aofa_a00(B, k1_funct_1(u7_aofa_a00(B), A), k9_finseq_1(u1_aofa_l00(B)), u1_aofa_l00(B)) &  (r1_aofa_a00(B, k1_funct_1(u7_aofa_a00(B), k2_xcmplx_0(A, 5)), k1_xboole_0, u1_aofa_l00(B)) &  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, 4) &  ~ (r1_aofa_a00(B, k1_funct_1(u7_aofa_a00(B), k2_xcmplx_0(A, C)), k10_finseq_1(u1_aofa_l00(B), u1_aofa_l00(B)), u1_aofa_l00(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_aofa_l00, axiom,  (! [A] :  (! [B] :  (l2_aofa_l00(B, A) =>  (v7_aofa_l00(B, A) <=>  (u2_aofa_l00(A, B)=k2_tarski(1, 2) &  (v2_funct_1(u3_aofa_l00(A, B)) &  (r1_xboole_0(k2_relset_1(u4_struct_0(B), u3_aofa_l00(A, B)), k2_relset_1(u4_struct_0(B), u7_aofa_a00(B))) &  (! [C] :  (! [D] :  ( (r2_hidden(C, u2_aofa_l00(A, B)) & r2_hidden(D, A))  => r1_aofa_a00(B, k1_binop_1(u3_aofa_l00(A, B), C, D), k9_finseq_1(u1_aofa_l00(B)), u1_aofa_l00(B))) ) ) ) ) ) ) ) ) ) ).
fof(d6_aofa_l00, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  (l3_aofa_l00(C, B) =>  (v8_aofa_l00(C, A, B) <=>  ( ~ (u4_aofa_l00(B, C)=u1_aofa_l00(C))  &  (r1_xxreal_0(k2_xcmplx_0(A, 8), k3_finseq_1(u7_aofa_a00(C))) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(6, D) &  (r1_xxreal_0(D, 8) &  ~ (r1_aofa_a00(C, k1_funct_1(u7_aofa_a00(C), k2_xcmplx_0(A, D)), k10_finseq_1(u4_aofa_l00(B, C), u1_aofa_l00(C)), u1_aofa_l00(C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_aofa_l00, axiom,  (! [A] :  (! [B] :  (r1_tarski(B, A) => k3_aofa_l00(A, B)=k6_partfun1(B)) ) ) ).
fof(t10_aofa_l00, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (B=C)  & k10_ordinal2(A, B)=k10_ordinal2(A, C)) ) ) ) ) ) ) ) ).
fof(t11_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_instalg1(C) & l1_msualg_1(C))  =>  (? [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v5_aofa_l00(D, B) & l3_aofa_l00(D, B)) ) )  &  (v6_aofa_l00(D, A) &  (v7_aofa_l00(D, B) &  (v8_aofa_l00(D, A, B) &  (v2_aofa_l00(D, C) &  ( (! [E] :  (v7_ordinal1(E) =>  ( ~ ( (! [F] :  (v7_ordinal1(F) =>  ~ ( (r1_xxreal_0(k5_ordinal1, F) &  (r1_xxreal_0(F, 8) & E=F) ) ) ) ) )  => k1_funct_1(u7_aofa_a00(D), k2_xcmplx_0(A, E))=k10_ordinal2(k3_ordinal2(u4_struct_0(C)), E)) ) )  &  ( (! [E] :  (m1_subset_1(E, B) =>  (k1_binop_1(u3_aofa_l00(B, D), 1, E)=k3_xtuple_0(u4_struct_0(C), 1, E) & k1_binop_1(u3_aofa_l00(B, D), 2, E)=k3_xtuple_0(u4_struct_0(C), 2, E)) ) )  &  (u1_aofa_l00(D)=k3_ordinal2(u1_struct_0(C)) &  (u4_aofa_l00(B, D)=k10_ordinal2(k3_ordinal2(u1_struct_0(C)), 1) &  (u1_struct_0(D)=k2_xboole_0(u1_struct_0(C), k2_tarski(u1_aofa_l00(D), u4_aofa_l00(B, D))) &  (! [E] :  (v3_ordinal1(E) =>  (E=k3_ordinal2(u4_struct_0(C)) => u4_struct_0(D)=k2_xboole_0(k2_xboole_0(u4_struct_0(C), k7_enumset1(k10_ordinal2(E, k5_ordinal1), k10_ordinal2(E, 1), k10_ordinal2(E, 2), k10_ordinal2(E, 3), k10_ordinal2(E, 4), k10_ordinal2(E, 5), k10_ordinal2(E, 6), k10_ordinal2(E, 7), k10_ordinal2(E, 8))), k3_zfmisc_1(k1_tarski(u4_struct_0(C)), k2_tarski(1, 2), B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_aofa_l00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m1_aofa_l00(C, A, B) <=>  (? [D] :  (m1_msafree(D, A, B) & C=k3_card_3(D)) ) ) ) ) ) ) ) ).
fof(t12_aofa_l00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m1_aofa_l00(C, A, B) => r1_tarski(C, k3_card_3(u3_msualg_1(A, B)))) ) ) ) ) ) ).
fof(d9_aofa_l00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (! [C] :  (l1_aofa_a00(C, A) =>  (v9_aofa_l00(C, A, B) <=> m2_aofa_a00(u1_aofa_a00(A, C), u1_struct_0(A), u1_struct_0(A), u3_msualg_1(A, C), B)) ) ) ) ) ) ) ).
fof(d10_aofa_l00, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k3_card_3(B), C), k3_card_3(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_card_3(B), C), k3_card_3(B))))) )  =>  (v10_aofa_l00(D, A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) => r1_tarski(k7_relset_1(k2_zfmisc_1(k3_card_3(B), C), k3_card_3(B), D, k2_zfmisc_1(k1_msafree4(A, B, E), C)), k1_msafree4(A, B, E))) ) ) ) ) ) ) ) ) ) ).
fof(t13_aofa_l00, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m3_pboole(C, A, B) =>  (! [D] : m1_subset_1(k1_funct_1(C, D), k1_zfmisc_1(k1_funct_1(B, D)))) ) ) ) ) ) ).
fof(d11_aofa_l00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (l4_aofa_l00(C, A, B) =>  (m3_pboole(B, u1_struct_0(A), u3_msualg_1(A, C)) =>  (! [D] :  (m1_subset_1(D, k3_card_3(B)) => k5_aofa_l00(A, B, C, D)=D) ) ) ) ) ) ) ) ) ).
fof(d12_aofa_l00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (l4_aofa_l00(C, A, B) =>  (m3_pboole(B, u1_struct_0(A), u3_msualg_1(A, C)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ~ (k1_msafree4(u1_struct_0(A), u3_msualg_1(A, C), D)=k1_xboole_0)  =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, C), D)) =>  (! [F] :  (m1_subset_1(F, k3_card_3(B)) =>  (! [G] :  (m1_subset_1(G, k3_card_3(B)) =>  ( (? [H] :  (m1_subset_1(H, u1_struct_0(A)) &  (r2_tarski(F, k1_msafree4(u1_struct_0(A), B, H)) & r2_tarski(G, k1_msafree4(u1_struct_0(A), B, H))) ) )  => k6_aofa_l00(A, B, C, D, E, F, G)=k1_funct_1(u5_aofa_l00(A, B, C), k4_tarski(E, k4_tarski(F, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_aofa_l00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (l4_aofa_l00(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, C), D)) =>  ( ~ (k1_msafree4(u1_struct_0(A), u3_msualg_1(A, C), D)=k1_xboole_0)  =>  (! [F] :  (m1_subset_1(F, k3_card_3(B)) =>  (! [G] :  (m1_subset_1(G, k3_card_3(u3_msualg_1(A, C))) =>  ( (? [H] :  (m1_subset_1(H, u1_struct_0(A)) &  (r2_tarski(F, k1_msafree4(u1_struct_0(A), B, H)) & r2_tarski(G, k1_msafree4(u1_struct_0(A), u3_msualg_1(A, C), H))) ) )  => k7_aofa_l00(A, B, C, D, E, F, G)=k1_funct_1(u5_aofa_l00(A, B, C), k4_tarski(E, k4_tarski(F, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_aofa_l00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) & l4_aofa_l00(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_msafree4(E, k3_finseq_2(u1_struct_0(A)), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, C)), k3_msualg_1(A, D, C)) =>  (! [F] :  (m1_subset_1(F, k3_card_3(B)) =>  (! [G] :  (m1_subset_1(G, k3_card_3(u3_msualg_1(A, C))) =>  (! [H] :  (m1_msafree4(H, k3_finseq_2(u1_struct_0(A)), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, C)), k3_msualg_1(A, D, C)) =>  (H=k8_aofa_l00(A, B, C, D, E, F, G) <=>  (! [I] :  (v7_ordinal1(I) =>  ~ ( (r2_tarski(I, k4_finseq_1(k1_msualg_1(A, D))) &  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  ~ ( (J=k1_funct_1(k1_msualg_1(A, D), I) &  (? [K] :  (m1_msafree4(K, u1_struct_0(A), u3_msualg_1(A, C), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, C), J)) &  (K=k1_funct_1(E, I) & k1_funct_1(H, I)=k7_aofa_l00(A, B, C, J, K, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_aofa_l00, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  ( (v2_relat_1(C) & m3_pboole(C, A, B))  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_msafree4(E, A, C, k1_msafree4(A, C, D)) => k9_aofa_l00(A, B, C, D, E)=E) ) ) ) ) ) ) ) ) ) ).
fof(d16_aofa_l00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) & l4_aofa_l00(C, A, B))  =>  (v12_aofa_l00(C, A, B) <=>  (! [D] :  (m1_subset_1(D, k3_card_3(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(D, k1_msafree4(u1_struct_0(A), B, E)) =>  ( (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_msafree4(G, u1_struct_0(A), u3_msualg_1(A, C), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, C), F)) => k6_aofa_l00(A, B, C, F, G, D, D)=G) ) ) )  &  (! [F] :  (m1_subset_1(F, k3_card_3(u3_msualg_1(A, C))) =>  (r2_tarski(F, k1_msafree4(u1_struct_0(A), u3_msualg_1(A, C), E)) =>  (! [G] :  (m1_subset_1(G, u4_struct_0(A)) =>  (! [H] :  (m1_msafree4(H, k3_finseq_2(u1_struct_0(A)), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, C)), k3_msualg_1(A, G, C)) =>  (! [I] :  (m1_msafree4(I, u1_struct_0(A), u3_msualg_1(A, C), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, C), k2_msualg_1(A, G))) =>  ( (I=k1_msafree4(k3_msualg_1(A, G, C), k5_msualg_1(A, G, C), H) &  (! [J] :  (l2_aofa_l00(J, k3_card_3(B)) =>  ~ ( (A=J &  (? [K] :  (m1_subset_1(K, k3_card_3(B)) &  (? [L] :  (m1_subset_1(L, k2_tarski(1, 2)) & G=k1_binop_1(u3_aofa_l00(k3_card_3(B), J), L, K)) ) ) ) ) ) ) ) )  => k7_aofa_l00(A, B, C, k2_msualg_1(A, G), I, D, F)=k1_msafree4(k3_msualg_1(A, G, C), k5_msualg_1(A, G, C), k8_aofa_l00(A, B, C, G, H, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_aofa_l00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) & l4_aofa_l00(C, A, B))  =>  (v13_aofa_l00(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), u3_msualg_1(A, C), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, C), D)) =>  (! [F] :  (m1_msafree4(F, u1_struct_0(A), u3_msualg_1(A, C), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, C), D)) =>  (! [G] :  (m1_subset_1(G, k3_card_3(B)) =>  ( (F=G & r2_tarski(G, k1_msafree4(u1_struct_0(A), B, D)))  => k7_aofa_l00(A, B, C, D, F, G, E)=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_aofa_l00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (l4_aofa_l00(C, A, B) =>  (m3_pboole(B, u1_struct_0(A), u3_msualg_1(A, C)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ~ (k1_msafree4(u1_struct_0(A), u3_msualg_1(A, C), D)=k1_xboole_0)  =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, C), D)) =>  (! [F] :  (m1_subset_1(F, k3_card_3(B)) =>  (! [G] :  (m1_subset_1(G, k3_card_3(B)) =>  (! [H] :  (m1_subset_1(H, k3_card_3(u3_msualg_1(A, C))) =>  (G=H =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  ( (r2_tarski(F, k1_msafree4(u1_struct_0(A), B, I)) & r2_tarski(G, k1_msafree4(u1_struct_0(A), B, I)))  => k6_aofa_l00(A, B, C, D, E, F, G)=k7_aofa_l00(A, B, C, D, E, F, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_aofa_l00, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v1_xboole_0(C)) )  =>  (! [D] :  ( (v1_instalg1(D) &  (v2_aofa_l00(D, A) &  (v6_aofa_l00(D, C) & l3_aofa_l00(D, B)) ) )  =>  (v14_aofa_l00(D, A, B, C) <=>  (r1_xboole_0(k7_relset_1(k4_ordinal1, u4_struct_0(D), u7_aofa_a00(D), k6_subset_1(k2_xcmplx_0(C, 9), C)), u4_struct_0(A)) &  (r1_xboole_0(k2_relset_1(u4_struct_0(D), u3_aofa_l00(B, D)), u4_struct_0(A)) & r1_xboole_0(k2_tarski(u1_aofa_l00(D), u4_aofa_l00(B, D)), u1_struct_0(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_aofa_l00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) )  =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (l3_msualg_1(D, B) =>  (v15_aofa_l00(D, A, B, C) <=> k2_instalg1(B, A, D)=g3_msualg_1(A, u3_msualg_1(A, C), u4_msualg_1(A, C))) ) ) ) ) ) ) ) ) ).
fof(t15_aofa_l00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v1_instalg1(B) &  (v2_aofa_l00(B, A) & l1_msualg_1(B)) )  =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (l3_msualg_1(D, B) =>  (! [E] :  (l3_msualg_1(E, B) =>  ( (g3_msualg_1(B, u3_msualg_1(B, D), u4_msualg_1(B, D))=g3_msualg_1(B, u3_msualg_1(B, E), u4_msualg_1(B, E)) & v15_aofa_l00(D, A, B, C))  => v15_aofa_l00(E, A, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_aofa_l00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v1_instalg1(B) &  (v2_aofa_l00(B, A) & l1_msualg_1(B)) )  =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (l3_msualg_1(D, B) =>  (v15_aofa_l00(D, A, B, C) =>  (! [E] :  (r2_hidden(E, u1_struct_0(A)) => k1_funct_1(u3_msualg_1(A, C), E)=k1_funct_1(u3_msualg_1(B, D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_aofa_l00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v1_instalg1(B) &  (v2_aofa_l00(B, A) & l1_msualg_1(B)) )  =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (r1_tarski(D, k6_subset_1(u1_struct_0(B), u1_struct_0(A))) =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, D) &  (v1_funct_1(E) & v1_partfun1(E, D)) ) )  =>  (? [F] :  (l3_msualg_1(F, B) &  (v15_aofa_l00(F, A, B, C) & k5_relat_1(u3_msualg_1(B, F), D)=E) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_aofa_l00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v1_instalg1(B) &  (v2_aofa_l00(B, A) & l1_msualg_1(B)) )  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  (r1_tarski(D, k6_subset_1(u1_struct_0(B), u1_struct_0(A))) =>  (! [E] :  ( (v1_relat_1(E) &  (v2_relat_1(E) &  (v4_relat_1(E, D) &  (v1_funct_1(E) & v1_partfun1(E, D)) ) ) )  =>  (? [F] :  ( (v4_msualg_1(F, B) & l3_msualg_1(F, B))  &  (v15_aofa_l00(F, A, B, C) & k5_relat_1(u3_msualg_1(B, F), D)=E) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_aofa_l00, axiom,  (! [A] :  (! [B] : v2_funct_1(k9_funct_3(A, k1_tarski(B)))) ) ).
fof(t20_aofa_l00, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  =>  (! [B] :  ( (v1_instalg1(B) & l1_msualg_1(B))  =>  (! [C] :  ( (v1_instalg1(C) & l1_msualg_1(C))  =>  (! [D] :  ( (v1_instalg1(D) & l1_msualg_1(D))  =>  ( (g1_msualg_1(u1_struct_0(A), u4_struct_0(A), u1_msualg_1(A), u2_msualg_1(A))=g1_msualg_1(u1_struct_0(B), u4_struct_0(B), u1_msualg_1(B), u2_msualg_1(B)) &  (g1_msualg_1(u1_struct_0(C), u4_struct_0(C), u1_msualg_1(C), u2_msualg_1(C))=g1_msualg_1(u1_struct_0(D), u4_struct_0(D), u1_msualg_1(D), u2_msualg_1(D)) & m2_algspec1(C, A)) )  => m2_algspec1(D, B)) ) ) ) ) ) ) ) ) ).
fof(t21_aofa_l00, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v2_funct_1(C)) )  =>  (r1_xboole_0(A, B) => r1_xboole_0(k7_relat_1(C, A), k7_relat_1(C, B))) ) ) ) ) ).
fof(t22_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v1_instalg1(C) & l1_msualg_1(C)) )  =>  (? [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v6_aofa_l00(D, A) &  (v7_aofa_l00(D, B) & l2_aofa_l00(D, B)) ) ) )  &  (r1_subset_1(u1_struct_0(D), u1_struct_0(C)) & r1_xboole_0(u4_struct_0(D), u4_struct_0(C))) ) ) ) ) ) ) ) ).
fof(d20_aofa_l00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_aofa_l00(A))  =>  (! [B] :  (l3_msualg_1(B, A) =>  (v17_aofa_l00(B, A) <=>  ~ (v1_xboole_0(k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), u1_aofa_l00(A)))) ) ) ) ) ) ).
fof(t23_aofa_l00, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) &  (v2_aofa_l00(B, A) & l1_msualg_1(B)) ) )  =>  (! [C] :  (l3_msualg_1(C, B) =>  (! [D] :  (l3_msualg_1(D, B) =>  (g3_msualg_1(B, u3_msualg_1(B, C), u4_msualg_1(B, C))=g3_msualg_1(B, u3_msualg_1(B, D), u4_msualg_1(B, D)) => k2_instalg1(B, A, C)=k2_instalg1(B, A, D)) ) ) ) ) ) ) ) ) ).
fof(d21_aofa_l00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( ( ~ (v3_relat_1(C))  & m1_msafree(C, A, B))  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_aofa_l00(D, A) & l2_aofa_l00(D, k4_aofa_l00(A, B, C))) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  ( ~ (v3_relat_1(E))  &  (v4_relat_1(E, u1_struct_0(D)) &  (v1_funct_1(E) &  (v1_partfun1(E, u1_struct_0(D)) & v1_aofa_l00(E, C)) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, D) & l5_aofa_l00(F, A, B, C, D, E))  =>  (v18_aofa_l00(F, A, B, C, D, E) <=>  (! [G] :  (m1_subset_1(G, u1_struct_0(D)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(D)) =>  (! [I] :  (m1_msafree4(I, u1_struct_0(D), u3_msualg_1(D, F), k1_msafree4(u1_struct_0(D), u3_msualg_1(D, F), G)) =>  (! [J] :  (m1_msafree4(J, u1_struct_0(D), u3_msualg_1(D, F), k1_msafree4(u1_struct_0(D), u3_msualg_1(D, F), H)) =>  (! [K] :  (m1_subset_1(K, k3_card_3(E)) =>  (r2_tarski(K, k1_msafree4(u1_struct_0(D), E, G)) =>  ( ~ (r2_hidden(K, k1_msafree4(u1_struct_0(D), k10_aofa_a00(D, F, H, J), G)))  &  ( ( ~ (r2_hidden(K, k1_msafree4(u1_struct_0(D), k10_aofa_a00(D, F, H, J), G)))  => k7_aofa_l00(D, E, F, H, J, K, I)=J)  &  ( ( (J=K & r2_tarski(K, k1_msafree4(u1_struct_0(D), E, H)))  => k7_aofa_l00(D, E, F, H, J, K, I)=I)  &  (! [L] :  (m1_subset_1(L, k3_card_3(E)) =>  (r2_tarski(L, k1_msafree4(u1_struct_0(D), E, G)) => k6_aofa_l00(D, E, F, H, k6_aofa_l00(D, E, F, H, J, L, K), K, L)=J) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d22_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  => k11_aofa_l00(A, B, C)=k1_funct_1(k5_msualg_1(B, k10_subset_1(k1_funct_1(u7_aofa_a00(B), k2_xcmplx_0(A, 5)), u4_struct_0(B)), C), k1_xboole_0)) ) ) ) ) ) ).
fof(d23_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  (m1_subset_1(D, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => k12_aofa_l00(A, B, C, D)=k1_funct_1(k5_msualg_1(B, k10_subset_1(k1_funct_1(u7_aofa_a00(B), A), u4_struct_0(B)), C), k9_finseq_1(D))) ) ) ) ) ) ) ) ).
fof(d24_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  (m1_subset_1(D, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => k13_aofa_l00(A, B, C, D, E)=k1_funct_1(k5_msualg_1(B, k10_subset_1(k1_funct_1(u7_aofa_a00(B), k2_xcmplx_0(A, 1)), u4_struct_0(B)), C), k10_finseq_1(D, E))) ) ) ) ) ) ) ) ) ) ).
fof(d25_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  (m1_subset_1(D, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => k14_aofa_l00(A, B, C, D, E)=k1_funct_1(k5_msualg_1(B, k10_subset_1(k1_funct_1(u7_aofa_a00(B), k2_xcmplx_0(A, 2)), u4_struct_0(B)), C), k10_finseq_1(D, E))) ) ) ) ) ) ) ) ) ) ).
fof(d26_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  (m1_subset_1(D, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => k15_aofa_l00(A, B, C, D, E)=k1_funct_1(k5_msualg_1(B, k10_subset_1(k1_funct_1(u7_aofa_a00(B), k2_xcmplx_0(A, 3)), u4_struct_0(B)), C), k10_finseq_1(D, E))) ) ) ) ) ) ) ) ) ) ).
fof(d27_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  (m1_subset_1(D, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => k16_aofa_l00(A, B, C, D, E)=k1_funct_1(k5_msualg_1(B, k10_subset_1(k1_funct_1(u7_aofa_a00(B), k2_xcmplx_0(A, 4)), u4_struct_0(B)), C), k10_finseq_1(D, E))) ) ) ) ) ) ) ) ) ) ).
fof(d28_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  ( ~ (v3_relat_1(F))  &  (v4_relat_1(F, u1_struct_0(E)) &  (v1_funct_1(F) &  (v1_partfun1(F, u1_struct_0(E)) & v1_aofa_l00(F, D)) ) ) ) )  =>  (! [G] :  ( (v15_aofa_l00(G, B, E, C) &  (v17_aofa_l00(G, E) & l5_aofa_l00(G, B, C, D, E, F)) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k4_aofa_l00(B, C, D)) => k17_aofa_l00(A, B, C, D, E, F, G, H, I)=k1_funct_1(k5_msualg_1(E, k10_subset_1(k1_binop_1(u3_aofa_l00(k4_aofa_l00(B, C, D), E), 1, I), u4_struct_0(E)), G), k12_finseq_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), u1_aofa_l00(E)), H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d29_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  ( ~ (v3_relat_1(F))  &  (v4_relat_1(F, u1_struct_0(E)) &  (v1_funct_1(F) &  (v1_partfun1(F, u1_struct_0(E)) & v1_aofa_l00(F, D)) ) ) ) )  =>  (! [G] :  ( (v15_aofa_l00(G, B, E, C) &  (v17_aofa_l00(G, E) & l5_aofa_l00(G, B, C, D, E, F)) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k4_aofa_l00(B, C, D)) => k18_aofa_l00(A, B, C, D, E, F, G, H, I)=k1_funct_1(k5_msualg_1(E, k10_subset_1(k1_binop_1(u3_aofa_l00(k4_aofa_l00(B, C, D), E), 2, I), u4_struct_0(E)), G), k12_finseq_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), u1_aofa_l00(E)), H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d30_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  ( ~ (v3_relat_1(F))  &  (v4_relat_1(F, u1_struct_0(E)) &  (v1_funct_1(F) &  (v1_partfun1(F, u1_struct_0(E)) & v1_aofa_l00(F, D)) ) ) ) )  =>  (! [G] :  ( (v15_aofa_l00(G, B, E, C) &  (v17_aofa_l00(G, E) & l5_aofa_l00(G, B, C, D, E, F)) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k4_aofa_l00(B, C, D)) =>  (! [J] :  (m1_subset_1(J, k4_aofa_l00(B, C, D)) => k19_aofa_l00(A, B, C, D, E, F, G, H, I, J)=k17_aofa_l00(A, B, C, D, E, F, G, k17_aofa_l00(A, B, C, D, E, F, G, H, J), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d31_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  ( ~ (v3_relat_1(F))  &  (v4_relat_1(F, u1_struct_0(E)) &  (v1_funct_1(F) &  (v1_partfun1(F, u1_struct_0(E)) & v1_aofa_l00(F, D)) ) ) ) )  =>  (! [G] :  ( (v15_aofa_l00(G, B, E, C) &  (v17_aofa_l00(G, E) & l5_aofa_l00(G, B, C, D, E, F)) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k4_aofa_l00(B, C, D)) =>  (! [J] :  (m1_subset_1(J, k4_aofa_l00(B, C, D)) => k20_aofa_l00(A, B, C, D, E, F, G, H, I, J)=k18_aofa_l00(A, B, C, D, E, F, G, k18_aofa_l00(A, B, C, D, E, F, G, H, J), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d32_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  ( ~ (v3_relat_1(F))  &  (v4_relat_1(F, u1_struct_0(E)) &  (v1_funct_1(F) &  (v1_partfun1(F, u1_struct_0(E)) & v1_aofa_l00(F, D)) ) ) ) )  =>  (! [G] :  ( (v15_aofa_l00(G, B, E, C) &  (v17_aofa_l00(G, E) & l5_aofa_l00(G, B, C, D, E, F)) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k4_aofa_l00(B, C, D)) =>  (! [J] :  (m1_subset_1(J, k4_aofa_l00(B, C, D)) =>  (! [K] :  (m1_subset_1(K, k4_aofa_l00(B, C, D)) => k21_aofa_l00(A, B, C, D, E, F, G, H, I, J, K)=k19_aofa_l00(A, B, C, D, E, F, G, k17_aofa_l00(A, B, C, D, E, F, G, H, K), I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d33_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  ( ~ (v3_relat_1(F))  &  (v4_relat_1(F, u1_struct_0(E)) &  (v1_funct_1(F) &  (v1_partfun1(F, u1_struct_0(E)) & v1_aofa_l00(F, D)) ) ) ) )  =>  (! [G] :  ( (v15_aofa_l00(G, B, E, C) &  (v17_aofa_l00(G, E) & l5_aofa_l00(G, B, C, D, E, F)) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k4_aofa_l00(B, C, D)) =>  (! [J] :  (m1_subset_1(J, k4_aofa_l00(B, C, D)) =>  (! [K] :  (m1_subset_1(K, k4_aofa_l00(B, C, D)) => k22_aofa_l00(A, B, C, D, E, F, G, H, I, J, K)=k20_aofa_l00(A, B, C, D, E, F, G, k18_aofa_l00(A, B, C, D, E, F, G, H, K), I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d34_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  ( ~ (v3_relat_1(F))  &  (v4_relat_1(F, u1_struct_0(E)) &  (v1_funct_1(F) &  (v1_partfun1(F, u1_struct_0(E)) & v1_aofa_l00(F, D)) ) ) ) )  =>  (! [G] :  ( (v15_aofa_l00(G, B, E, C) &  (v17_aofa_l00(G, E) & l5_aofa_l00(G, B, C, D, E, F)) )  =>  (! [H] :  (! [I] :  ( (? [J] :  (m1_subset_1(J, u1_struct_0(B)) &  (r2_hidden(H, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), J)) & r2_hidden(I, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), J))) ) )  => k23_aofa_l00(A, B, C, D, E, F, G, H, I)=k1_binop_1(u6_aofa_l00(B, C, D, E, F, G), H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d35_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  ( ~ (v3_relat_1(F))  &  (v4_relat_1(F, u1_struct_0(E)) &  (v1_funct_1(F) &  (v1_partfun1(F, u1_struct_0(E)) & v1_aofa_l00(F, D)) ) ) ) )  =>  (! [G] :  ( (v4_msualg_1(G, E) &  (v15_aofa_l00(G, B, E, C) &  (v17_aofa_l00(G, E) & l5_aofa_l00(G, B, C, D, E, F)) ) )  =>  (v19_aofa_l00(G, A, B, C, D, E, F) <=>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), u1_aofa_l00(E))) =>  (r8_pboole(u1_struct_0(E), k10_aofa_a00(E, G, u1_aofa_l00(E), k12_aofa_l00(A, E, G, H)), k10_aofa_a00(E, G, u1_aofa_l00(E), H)) &  (r8_pboole(u1_struct_0(E), k10_aofa_a00(E, G, u1_aofa_l00(E), k13_aofa_l00(A, E, G, H, I)), k2_pboole(u1_struct_0(E), k10_aofa_a00(E, G, u1_aofa_l00(E), H), k10_aofa_a00(E, G, u1_aofa_l00(E), I))) &  (r8_pboole(u1_struct_0(E), k10_aofa_a00(E, G, u1_aofa_l00(E), k14_aofa_l00(A, E, G, H, I)), k2_pboole(u1_struct_0(E), k10_aofa_a00(E, G, u1_aofa_l00(E), H), k10_aofa_a00(E, G, u1_aofa_l00(E), I))) &  (r8_pboole(u1_struct_0(E), k10_aofa_a00(E, G, u1_aofa_l00(E), k15_aofa_l00(A, E, G, H, I)), k2_pboole(u1_struct_0(E), k10_aofa_a00(E, G, u1_aofa_l00(E), H), k10_aofa_a00(E, G, u1_aofa_l00(E), I))) &  (r8_pboole(u1_struct_0(E), k10_aofa_a00(E, G, u1_aofa_l00(E), k16_aofa_l00(A, E, G, H, I)), k2_pboole(u1_struct_0(E), k10_aofa_a00(E, G, u1_aofa_l00(E), H), k10_aofa_a00(E, G, u1_aofa_l00(E), I))) &  (r8_pboole(u1_struct_0(E), k10_aofa_a00(E, G, u1_aofa_l00(E), k11_aofa_l00(A, E, G)), k1_pboole(u1_struct_0(E))) &  (! [J] :  (m1_subset_1(J, k4_aofa_l00(B, C, D)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(E)) =>  (r2_tarski(J, k1_funct_1(D, K)) =>  (r8_pboole(u1_struct_0(E), k10_aofa_a00(E, G, u1_aofa_l00(E), k17_aofa_l00(A, B, C, D, E, F, G, H, J)), k4_pboole(u1_struct_0(E), k10_aofa_a00(E, G, u1_aofa_l00(E), H), k2_aofa_a00(u1_struct_0(E), K, J))) & r8_pboole(u1_struct_0(E), k10_aofa_a00(E, G, u1_aofa_l00(E), k18_aofa_l00(A, B, C, D, E, F, G, H, J)), k4_pboole(u1_struct_0(E), k10_aofa_a00(E, G, u1_aofa_l00(E), H), k2_aofa_a00(u1_struct_0(E), K, J)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d36_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  ( ~ (v3_relat_1(F))  &  (v4_relat_1(F, u1_struct_0(E)) &  (v1_funct_1(F) &  (v1_partfun1(F, u1_struct_0(E)) & v1_aofa_l00(F, D)) ) ) ) )  =>  (! [G] :  ( (v4_msualg_1(G, E) &  (v15_aofa_l00(G, B, E, C) &  (v17_aofa_l00(G, E) & l5_aofa_l00(G, B, C, D, E, F)) ) )  =>  (v20_aofa_l00(G, A, B, C, D, E, F) <=>  (! [H] :  (m1_subset_1(H, u1_struct_0(E)) =>  (! [I] :  (m1_msafree4(I, u1_struct_0(E), u3_msualg_1(E, G), k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), H)) => v2_finset_1(k10_aofa_a00(E, G, H, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_aofa_l00, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B)) =>  (! [D] :  ( ( ~ (v11_struct_0(D))  &  (v1_instalg1(D) &  (v2_aofa_l00(D, A) & l1_msualg_1(D)) ) )  =>  (! [E] :  ( (v15_aofa_l00(E, A, D, B) & l3_msualg_1(E, D))  => m3_pboole(k2_aofa_l00(C, u1_struct_0(D), k1_xboole_0), u1_struct_0(D), u3_msualg_1(D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t25_aofa_l00, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B)) =>  (! [D] :  ( ( ~ (v11_struct_0(D))  &  (v1_instalg1(D) &  (v2_aofa_l00(D, A) & l1_msualg_1(D)) ) )  => k3_card_3(k2_aofa_l00(C, u1_struct_0(D), k1_xboole_0))=k3_card_3(C)) ) ) ) ) ) ) ) ).
fof(t26_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v6_aofa_l00(C, A) &  (v7_aofa_l00(C, B) & l2_aofa_l00(C, B)) ) ) )  =>  (! [D] :  ( (v17_aofa_l00(D, C) & l3_msualg_1(D, C))  =>  (r2_tarski(k1_xboole_0, k3_msualg_1(C, k10_subset_1(k1_funct_1(u7_aofa_a00(C), k2_xcmplx_0(A, 5)), u4_struct_0(C)), D)) &  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(C), u3_msualg_1(C, D), u1_aofa_l00(C))) =>  (r2_tarski(k12_finseq_1(k1_msafree4(u1_struct_0(C), u3_msualg_1(C, D), u1_aofa_l00(C)), E), k3_msualg_1(C, k10_subset_1(k1_funct_1(u7_aofa_a00(C), A), u4_struct_0(C)), D)) &  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(C), u3_msualg_1(C, D), u1_aofa_l00(C))) =>  ( (! [G] :  (v7_ordinal1(G) =>  ~ ( (r1_xxreal_0(1, G) &  (r1_xxreal_0(G, 4) &  ~ (r2_tarski(k2_finseq_4(k1_msafree4(u1_struct_0(C), u3_msualg_1(C, D), u1_aofa_l00(C)), E, F), k3_msualg_1(C, k10_subset_1(k1_funct_1(u7_aofa_a00(C), k2_xcmplx_0(A, G)), u4_struct_0(C)), D))) ) ) ) ) )  &  (! [G] :  (m1_subset_1(G, B) =>  (r2_tarski(k12_finseq_1(k1_msafree4(u1_struct_0(C), u3_msualg_1(C, D), u1_aofa_l00(C)), E), k3_msualg_1(C, k10_subset_1(k1_binop_1(u3_aofa_l00(B, C), 1, G), u4_struct_0(C)), D)) & r2_tarski(k12_finseq_1(k1_msafree4(u1_struct_0(C), u3_msualg_1(C, D), u1_aofa_l00(C)), E), k3_msualg_1(C, k10_subset_1(k1_binop_1(u3_aofa_l00(B, C), 2, G), u4_struct_0(C)), D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  ( ~ (v3_relat_1(F))  &  (v4_relat_1(F, u1_struct_0(E)) &  (v1_funct_1(F) &  (v1_partfun1(F, u1_struct_0(E)) & v1_aofa_l00(F, D)) ) ) ) )  =>  (! [G] :  ( (v4_msualg_1(G, E) &  (v15_aofa_l00(G, B, E, C) &  (v17_aofa_l00(G, E) & l5_aofa_l00(G, B, C, D, E, F)) ) )  =>  (! [H] :  (m1_subset_1(H, k3_card_3(F)) =>  (! [I] :  (m1_subset_1(I, k3_card_3(u3_msualg_1(E, G))) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(E)) =>  ( (r2_tarski(H, k1_msafree4(u1_struct_0(E), F, J)) & r2_tarski(I, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), J)))  =>  ( (! [K] :  (m1_msafree4(K, k3_finseq_2(u1_struct_0(E)), k6_finseq_2(u1_struct_0(E), u3_msualg_1(E, G)), k3_msualg_1(E, k10_subset_1(k1_funct_1(u7_aofa_a00(E), k2_xcmplx_0(A, 5)), u4_struct_0(E)), G)) =>  (K=k1_xboole_0 => k8_aofa_l00(E, F, G, k10_subset_1(k1_funct_1(u7_aofa_a00(E), k2_xcmplx_0(A, 5)), u4_struct_0(E)), K, H, I)=k1_xboole_0) ) )  &  (! [K] :  (m1_subset_1(K, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), u1_aofa_l00(E))) =>  ( (! [L] :  (m1_msafree4(L, k3_finseq_2(u1_struct_0(E)), k6_finseq_2(u1_struct_0(E), u3_msualg_1(E, G)), k3_msualg_1(E, k10_subset_1(k1_funct_1(u7_aofa_a00(E), A), u4_struct_0(E)), G)) =>  (k12_finseq_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), u1_aofa_l00(E)), K)=L => k8_aofa_l00(E, F, G, k10_subset_1(k1_funct_1(u7_aofa_a00(E), A), u4_struct_0(E)), L, H, I)=k12_finseq_1(k1_funct_1(u3_msualg_1(E, G), u1_aofa_l00(E)), k7_aofa_l00(E, F, G, u1_aofa_l00(E), K, H, I))) ) )  &  (! [L] :  (m1_subset_1(L, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), u1_aofa_l00(E))) =>  ( (! [M] :  (v7_ordinal1(M) =>  ~ ( (r1_xxreal_0(1, M) &  (r1_xxreal_0(M, 4) &  (? [N] :  (m1_msafree4(N, k3_finseq_2(u1_struct_0(E)), k6_finseq_2(u1_struct_0(E), u3_msualg_1(E, G)), k3_msualg_1(E, k10_subset_1(k1_funct_1(u7_aofa_a00(E), k2_xcmplx_0(A, M)), u4_struct_0(E)), G)) &  (k2_finseq_4(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), u1_aofa_l00(E)), K, L)=N &  ~ (k8_aofa_l00(E, F, G, k10_subset_1(k1_funct_1(u7_aofa_a00(E), k2_xcmplx_0(A, M)), u4_struct_0(E)), N, H, I)=k2_finseq_4(k1_funct_1(u3_msualg_1(E, G), u1_aofa_l00(E)), k7_aofa_l00(E, F, G, u1_aofa_l00(E), K, H, I), k7_aofa_l00(E, F, G, u1_aofa_l00(E), L, H, I))) ) ) ) ) ) ) ) )  &  (! [M] :  (m1_subset_1(M, k4_aofa_l00(B, C, D)) =>  ( (! [N] :  (m1_msafree4(N, k3_finseq_2(u1_struct_0(E)), k6_finseq_2(u1_struct_0(E), u3_msualg_1(E, G)), k3_msualg_1(E, k10_subset_1(k1_binop_1(u3_aofa_l00(k4_aofa_l00(B, C, D), E), 1, M), u4_struct_0(E)), G)) =>  (k12_finseq_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), u1_aofa_l00(E)), K)=N => k8_aofa_l00(E, F, G, k10_subset_1(k1_binop_1(u3_aofa_l00(k4_aofa_l00(B, C, D), E), 1, M), u4_struct_0(E)), N, H, I)=k12_finseq_1(k1_funct_1(u3_msualg_1(E, G), u1_aofa_l00(E)), k7_aofa_l00(E, F, G, u1_aofa_l00(E), K, H, I))) ) )  &  (! [N] :  (m1_msafree4(N, k3_finseq_2(u1_struct_0(E)), k6_finseq_2(u1_struct_0(E), u3_msualg_1(E, G)), k3_msualg_1(E, k10_subset_1(k1_binop_1(u3_aofa_l00(k4_aofa_l00(B, C, D), E), 2, M), u4_struct_0(E)), G)) =>  (k12_finseq_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), u1_aofa_l00(E)), K)=N => k8_aofa_l00(E, F, G, k10_subset_1(k1_binop_1(u3_aofa_l00(k4_aofa_l00(B, C, D), E), 2, M), u4_struct_0(E)), N, H, I)=k12_finseq_1(k1_funct_1(u3_msualg_1(E, G), u1_aofa_l00(E)), k7_aofa_l00(E, F, G, u1_aofa_l00(E), K, H, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  ( ~ (v3_relat_1(F))  &  (v4_relat_1(F, u1_struct_0(E)) &  (v1_funct_1(F) &  (v1_partfun1(F, u1_struct_0(E)) & v1_aofa_l00(F, D)) ) ) ) )  =>  (! [G] :  ( (v4_msualg_1(G, E) &  (v15_aofa_l00(G, B, E, C) &  (v17_aofa_l00(G, E) & l5_aofa_l00(G, B, C, D, E, F)) ) )  =>  ( (v12_aofa_l00(G, E, F) & m3_pboole(F, u1_struct_0(E), u3_msualg_1(E, G)))  =>  (! [H] :  (m1_subset_1(H, k3_card_3(F)) =>  (! [I] :  (m1_subset_1(I, k3_card_3(F)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(E)) =>  ( (r2_tarski(H, k1_msafree4(u1_struct_0(E), F, J)) & r2_tarski(I, k1_msafree4(u1_struct_0(E), F, J)))  =>  (! [K] :  (m1_subset_1(K, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), u1_aofa_l00(E))) =>  (k6_aofa_l00(E, F, G, u1_aofa_l00(E), k12_aofa_l00(A, E, G, K), H, I)=k12_aofa_l00(A, E, G, k6_aofa_l00(E, F, G, u1_aofa_l00(E), K, H, I)) &  (! [L] :  (m1_subset_1(L, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), u1_aofa_l00(E))) =>  (k6_aofa_l00(E, F, G, u1_aofa_l00(E), k13_aofa_l00(A, E, G, K, L), H, I)=k13_aofa_l00(A, E, G, k6_aofa_l00(E, F, G, u1_aofa_l00(E), K, H, I), k6_aofa_l00(E, F, G, u1_aofa_l00(E), L, H, I)) &  (k6_aofa_l00(E, F, G, u1_aofa_l00(E), k14_aofa_l00(A, E, G, K, L), H, I)=k14_aofa_l00(A, E, G, k6_aofa_l00(E, F, G, u1_aofa_l00(E), K, H, I), k6_aofa_l00(E, F, G, u1_aofa_l00(E), L, H, I)) &  (k6_aofa_l00(E, F, G, u1_aofa_l00(E), k15_aofa_l00(A, E, G, K, L), H, I)=k15_aofa_l00(A, E, G, k6_aofa_l00(E, F, G, u1_aofa_l00(E), K, H, I), k6_aofa_l00(E, F, G, u1_aofa_l00(E), L, H, I)) &  (k6_aofa_l00(E, F, G, u1_aofa_l00(E), k16_aofa_l00(A, E, G, K, L), H, I)=k16_aofa_l00(A, E, G, k6_aofa_l00(E, F, G, u1_aofa_l00(E), K, H, I), k6_aofa_l00(E, F, G, u1_aofa_l00(E), L, H, I)) & k6_aofa_l00(E, F, G, u1_aofa_l00(E), k11_aofa_l00(A, E, G), H, I)=k11_aofa_l00(A, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d38_aofa_l00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( ( ~ (v3_relat_1(C))  & m1_msafree(C, A, B))  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_aofa_l00(D, A) & l3_aofa_l00(D, k4_aofa_l00(A, B, C))) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(D)) &  (v1_funct_1(E) &  (v1_partfun1(E, u1_struct_0(D)) & v1_aofa_l00(E, C)) ) ) )  =>  (! [F] :  (l6_aofa_l00(F, A, B, C, D, E) =>  (v23_aofa_l00(F, A, B, C, D, E) <=> u1_struct_0(F)=k1_msafree4(u1_struct_0(D), u3_msualg_1(D, F), u4_aofa_l00(k4_aofa_l00(A, B, C), D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_aofa_l00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) &  (v3_aofa_000(B) &  (v4_aofa_000(B) &  (v5_aofa_000(B) &  (v6_aofa_000(B) & l1_unialg_1(B)) ) ) ) ) ) ) )  =>  (g1_unialg_1(u1_struct_0(A), u1_unialg_1(A))=g1_unialg_1(u1_struct_0(B), u1_unialg_1(B)) =>  (k12_aofa_000(A)=k12_aofa_000(B) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( (C=E & D=F)  =>  (k13_aofa_000(A, C, D)=k13_aofa_000(B, E, F) &  (k16_aofa_000(A, C, D)=k16_aofa_000(B, E, F) &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  (G=H => k14_aofa_000(A, G, C, D)=k14_aofa_000(B, H, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_aofa_l00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_aofa_000(A) &  (v4_aofa_000(A) &  (v5_aofa_000(A) &  (v6_aofa_000(A) & l1_unialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) &  (v3_aofa_000(B) &  (v4_aofa_000(B) &  (v5_aofa_000(B) &  (v6_aofa_000(B) & l1_unialg_1(B)) ) ) ) ) ) ) )  =>  (g1_unialg_1(u1_struct_0(A), u1_unialg_1(A))=g1_unialg_1(u1_struct_0(B), u1_unialg_1(B)) => k18_aofa_000(A)=k18_aofa_000(B)) ) ) ) ) ).
fof(t31_aofa_l00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (g1_unialg_1(u1_struct_0(A), u1_unialg_1(A))=g1_unialg_1(u1_struct_0(B), u1_unialg_1(B)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (C=D =>  (! [E] :  (m5_margrel1(E, u1_struct_0(A), k1_unialg_2(A)) =>  (! [F] :  (m5_margrel1(F, u1_struct_0(B), k1_unialg_2(B)) =>  ( (E=F & r2_unialg_2(A, C, E))  => r2_unialg_2(B, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_aofa_l00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (g1_unialg_1(u1_struct_0(A), u1_unialg_1(A))=g1_unialg_1(u1_struct_0(B), u1_unialg_1(B)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  ( (C=D & v1_unialg_2(C, A))  => v1_unialg_2(D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t33_aofa_l00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (g1_unialg_1(u1_struct_0(A), u1_unialg_1(A))=g1_unialg_1(u1_struct_0(B), u1_unialg_1(B)) =>  (! [C] :  (m1_freealg(C, A) => m1_freealg(C, B)) ) ) ) ) ) ) ).
fof(t34_aofa_l00, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (g1_unialg_1(u1_struct_0(A), u1_unialg_1(A))=g1_unialg_1(u1_struct_0(B), u1_unialg_1(B)) => k1_unialg_1(A)=k1_unialg_1(B)) ) ) ) ) ).
fof(d39_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) &  (v8_aofa_l00(E, A, k4_aofa_l00(B, C, D)) &  (v14_aofa_l00(E, B, k4_aofa_l00(B, C, D), A) & l3_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) ) ) )  =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v2_unialg_1(F) &  (v3_unialg_1(F) &  (v4_unialg_1(F) &  (v4_msualg_1(F, E) &  (v3_aofa_000(F) &  (v4_aofa_000(F) &  (v5_aofa_000(F) &  (v6_aofa_000(F) &  ( ~ (v10_aofa_000(F))  &  (v11_aofa_000(F) &  (v12_aofa_000(F) &  (v2_aofa_a00(F, E) &  (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) &  (v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v21_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v23_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & l6_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(F)) => k24_aofa_l00(A, B, C, D, E, F, G, H)=k1_funct_1(k5_msualg_1(E, k10_subset_1(k1_funct_1(u7_aofa_a00(E), k2_xcmplx_0(A, 6)), u4_struct_0(E)), F), k10_finseq_1(H, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d40_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) &  (v8_aofa_l00(E, A, k4_aofa_l00(B, C, D)) &  (v14_aofa_l00(E, B, k4_aofa_l00(B, C, D), A) & l3_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) ) ) )  =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v2_unialg_1(F) &  (v3_unialg_1(F) &  (v4_unialg_1(F) &  (v4_msualg_1(F, E) &  (v3_aofa_000(F) &  (v4_aofa_000(F) &  (v5_aofa_000(F) &  (v6_aofa_000(F) &  ( ~ (v10_aofa_000(F))  &  (v11_aofa_000(F) &  (v12_aofa_000(F) &  (v2_aofa_a00(F, E) &  (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) &  (v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v21_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v23_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & l6_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(F)) => k25_aofa_l00(A, B, C, D, E, F, G, H)=k1_funct_1(k5_msualg_1(E, k10_subset_1(k1_funct_1(u7_aofa_a00(E), k2_xcmplx_0(A, 7)), u4_struct_0(E)), F), k10_finseq_1(H, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d41_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) &  (v8_aofa_l00(E, A, k4_aofa_l00(B, C, D)) &  (v14_aofa_l00(E, B, k4_aofa_l00(B, C, D), A) & l3_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) ) ) )  =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v2_unialg_1(F) &  (v3_unialg_1(F) &  (v4_unialg_1(F) &  (v4_msualg_1(F, E) &  (v3_aofa_000(F) &  (v4_aofa_000(F) &  (v5_aofa_000(F) &  (v6_aofa_000(F) &  ( ~ (v10_aofa_000(F))  &  (v11_aofa_000(F) &  (v12_aofa_000(F) &  (v2_aofa_a00(F, E) &  (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) &  (v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v21_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v23_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & l6_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(F)) => k26_aofa_l00(A, B, C, D, E, F, G, H)=k1_funct_1(k5_msualg_1(E, k10_subset_1(k1_funct_1(u7_aofa_a00(E), k2_xcmplx_0(A, 8)), u4_struct_0(E)), F), k10_finseq_1(H, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d42_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))) =>  (v24_aofa_l00(D, A, B, C) <=>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (r2_tarski(k15_aofa_l00(A, B, C, E, k15_aofa_l00(A, B, C, F, E)), D) &  (r2_tarski(k15_aofa_l00(A, B, C, k15_aofa_l00(A, B, C, E, k15_aofa_l00(A, B, C, F, G)), k15_aofa_l00(A, B, C, k15_aofa_l00(A, B, C, E, F), k15_aofa_l00(A, B, C, E, G))), D) &  (r2_tarski(k15_aofa_l00(A, B, C, k15_aofa_l00(A, B, C, k12_aofa_l00(A, B, C, E), k12_aofa_l00(A, B, C, F)), k15_aofa_l00(A, B, C, F, E)), D) &  (r2_tarski(k15_aofa_l00(A, B, C, E, k14_aofa_l00(A, B, C, E, F)), D) &  (r2_tarski(k15_aofa_l00(A, B, C, E, k14_aofa_l00(A, B, C, F, E)), D) &  (r2_tarski(k15_aofa_l00(A, B, C, k15_aofa_l00(A, B, C, E, G), k15_aofa_l00(A, B, C, k15_aofa_l00(A, B, C, F, G), k15_aofa_l00(A, B, C, k14_aofa_l00(A, B, C, E, F), G))), D) &  (r2_tarski(k15_aofa_l00(A, B, C, k13_aofa_l00(A, B, C, E, F), E), D) &  (r2_tarski(k15_aofa_l00(A, B, C, k13_aofa_l00(A, B, C, E, F), F), D) &  (r2_tarski(k15_aofa_l00(A, B, C, E, k15_aofa_l00(A, B, C, F, k13_aofa_l00(A, B, C, E, F))), D) &  (r2_tarski(k15_aofa_l00(A, B, C, k13_aofa_l00(A, B, C, E, k12_aofa_l00(A, B, C, E)), F), D) &  (r2_tarski(k15_aofa_l00(A, B, C, k15_aofa_l00(A, B, C, E, F), k15_aofa_l00(A, B, C, k15_aofa_l00(A, B, C, E, k12_aofa_l00(A, B, C, F)), k12_aofa_l00(A, B, C, E))), D) &  (r2_tarski(k14_aofa_l00(A, B, C, E, k12_aofa_l00(A, B, C, E)), D) &  (r2_tarski(k15_aofa_l00(A, B, C, k16_aofa_l00(A, B, C, E, F), k15_aofa_l00(A, B, C, E, F)), D) &  (r2_tarski(k15_aofa_l00(A, B, C, k16_aofa_l00(A, B, C, E, F), k15_aofa_l00(A, B, C, F, E)), D) &  (r2_tarski(k15_aofa_l00(A, B, C, k13_aofa_l00(A, B, C, k15_aofa_l00(A, B, C, E, F), k15_aofa_l00(A, B, C, F, E)), k16_aofa_l00(A, B, C, E, F)), D) &  (r2_tarski(k11_aofa_l00(A, B, C), D) &  (r2_tarski(k16_aofa_l00(A, B, C, k13_aofa_l00(A, B, C, k11_aofa_l00(A, B, C), E), E), D) &  (r2_tarski(k16_aofa_l00(A, B, C, k14_aofa_l00(A, B, C, k11_aofa_l00(A, B, C), E), k11_aofa_l00(A, B, C)), D) &  ( (r2_tarski(E, D) & r2_tarski(k15_aofa_l00(A, B, C, E, F), D))  => r2_tarski(F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d43_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E)))) =>  (v25_aofa_l00(G, A, B, C, D, E, F) <=>  (! [H] :  (m1_msafree4(H, u1_struct_0(E), u3_msualg_1(E, F), k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_msafree4(I, u1_struct_0(E), u3_msualg_1(E, F), k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [J] :  (m1_subset_1(J, k4_aofa_l00(B, C, D)) =>  ( (! [K] :  (m1_subset_1(K, u1_struct_0(B)) =>  ( (! [L] :  (m1_subset_1(L, k3_card_3(u3_msualg_1(E, F))) =>  ( (r2_tarski(J, k1_funct_1(k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), K)) & r2_tarski(L, k1_funct_1(u3_msualg_1(E, F), K)))  =>  (! [M] :  (m1_subset_1(M, k3_card_3(k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) =>  (J=M => r2_tarski(k15_aofa_l00(A, E, F, k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, J), k7_aofa_l00(E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, u1_aofa_l00(E), H, M, L)), G)) ) ) ) ) )  &  (r2_tarski(J, k1_msafree4(u1_struct_0(B), D, K)) =>  (r2_hidden(J, k1_funct_1(k10_aofa_a00(E, F, u1_aofa_l00(E), H), K)) | r2_tarski(k15_aofa_l00(A, E, F, k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, k15_aofa_l00(A, E, F, H, I), J), k15_aofa_l00(A, E, F, H, k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, I, J))), G)) ) ) ) )  &  (r2_tarski(k16_aofa_l00(A, E, F, k12_aofa_l00(A, E, F, k18_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, J)), k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, k12_aofa_l00(A, E, F, H), J)), G) &  (r2_tarski(k16_aofa_l00(A, E, F, k18_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, k12_aofa_l00(A, E, F, H), J), k12_aofa_l00(A, E, F, k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, J))), G) &  (r2_tarski(H, G) => r2_tarski(k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, J), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d44_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (v26_aofa_l00(F, A, B, C, D, E) <=>  (! [G] :  (m1_subset_1(G, k3_card_3(k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(E)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(E)) =>  (r2_tarski(G, k1_funct_1(D, H)) =>  (! [J] :  (m1_msafree4(J, u1_struct_0(E), u3_msualg_1(E, F), k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), H)) =>  (! [K] :  (m1_msafree4(K, u1_struct_0(E), u3_msualg_1(E, F), k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), I)) =>  (! [L] :  (m1_msafree4(L, u1_struct_0(E), u3_msualg_1(E, F), k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), I)) => k7_aofa_l00(E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, u1_aofa_l00(E), k23_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, K, L), G, J)=k23_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, k7_aofa_l00(E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, I, K, G, J), k7_aofa_l00(E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, I, L, G, J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d45_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (v27_aofa_l00(F, A, B, C, D, E) <=>  (! [G] :  (m1_subset_1(G, u1_struct_0(E)) =>  ( (! [H] :  (m1_msafree4(H, u1_struct_0(E), u3_msualg_1(E, F), k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), G)) =>  (! [I] :  (m1_msafree4(I, u1_struct_0(E), u3_msualg_1(E, F), k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), G)) => r8_pboole(u1_struct_0(E), k10_aofa_a00(E, F, u1_aofa_l00(E), k23_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, I)), k2_pboole(u1_struct_0(E), k10_aofa_a00(E, F, G, H), k10_aofa_a00(E, F, G, I)))) ) ) )  &  (! [H] :  (m1_subset_1(H, u1_struct_0(E)) =>  (! [I] :  (m1_msafree4(I, u1_struct_0(E), u3_msualg_1(E, F), k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), H)) =>  (r2_tarski(I, k1_funct_1(D, H)) => r8_pboole(u1_struct_0(E), k10_aofa_a00(E, F, H, I), k2_aofa_a00(u1_struct_0(E), H, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d46_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E)))) =>  (v28_aofa_l00(G, A, B, C, D, E, F) <=>  ( (! [H] :  (m1_subset_1(H, k3_card_3(u3_msualg_1(B, C))) => r2_tarski(k23_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, H), G)) )  &  (! [H] :  (m1_subset_1(H, u1_struct_0(E)) =>  (! [I] :  (m1_msafree4(I, u1_struct_0(E), u3_msualg_1(E, F), k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), H)) =>  (! [J] :  (m1_msafree4(J, u1_struct_0(E), u3_msualg_1(E, F), k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), H)) =>  (! [K] :  (m1_subset_1(K, k3_card_3(k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) =>  (r2_tarski(K, k1_funct_1(D, H)) =>  ( (! [L] :  (m1_subset_1(L, u1_struct_0(E)) =>  (r2_tarski(L, u1_struct_0(B)) =>  (! [M] :  (m1_msafree4(M, u1_struct_0(E), u3_msualg_1(E, F), k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), L)) => r2_tarski(k15_aofa_l00(A, E, F, k23_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, I, J), k23_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, k7_aofa_l00(E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, L, M, K, I), k7_aofa_l00(E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, L, M, K, J))), G)) ) ) ) )  &  (! [L] :  (m1_subset_1(L, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) => r2_tarski(k15_aofa_l00(A, E, F, k23_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, I, J), k15_aofa_l00(A, E, F, k7_aofa_l00(E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, u1_aofa_l00(E), L, K, I), k7_aofa_l00(E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, u1_aofa_l00(E), L, K, J))), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d47_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l1_aofa_a00(C, B))  =>  (! [D] :  ( (v2_relat_1(D) & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) &  (v8_aofa_l00(E, A, k4_aofa_l00(B, C, D)) &  (v14_aofa_l00(E, B, k4_aofa_l00(B, C, D), A) & l3_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) ) ) )  =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v2_unialg_1(F) &  (v3_unialg_1(F) &  (v4_unialg_1(F) &  (v4_msualg_1(F, E) &  (v3_aofa_000(F) &  (v4_aofa_000(F) &  (v5_aofa_000(F) &  (v6_aofa_000(F) &  ( ~ (v10_aofa_000(F))  &  (v11_aofa_000(F) &  (v12_aofa_000(F) &  (v2_aofa_a00(F, E) &  (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) &  (v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v21_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v23_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & l6_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [H] :  (m1_subset_1(H, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E)))) =>  (v29_aofa_l00(H, A, B, C, D, E, F, G) <=>  (! [I] :  (m1_subset_1(I, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [J] :  (m1_subset_1(J, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  ( (! [K] :  (m1_subset_1(K, u1_struct_0(F)) =>  (r2_tarski(k16_aofa_l00(A, E, F, k24_aofa_l00(A, B, C, D, E, F, k13_aofa_l00(A, E, F, I, J), K), k13_aofa_l00(A, E, F, k24_aofa_l00(A, B, C, D, E, F, I, K), k24_aofa_l00(A, B, C, D, E, F, J, K))), H) &  (r2_tarski(k16_aofa_l00(A, E, F, k24_aofa_l00(A, B, C, D, E, F, k14_aofa_l00(A, E, F, I, J), K), k14_aofa_l00(A, E, F, k24_aofa_l00(A, B, C, D, E, F, I, K), k24_aofa_l00(A, B, C, D, E, F, J, K))), H) &  (r2_tarski(k16_aofa_l00(A, E, F, k25_aofa_l00(A, B, C, D, E, F, I, K), k14_aofa_l00(A, E, F, I, k25_aofa_l00(A, B, C, D, E, F, k24_aofa_l00(A, B, C, D, E, F, I, K), K))), H) &  (r2_tarski(k16_aofa_l00(A, E, F, k26_aofa_l00(A, B, C, D, E, F, I, K), k13_aofa_l00(A, E, F, I, k26_aofa_l00(A, B, C, D, E, F, k24_aofa_l00(A, B, C, D, E, F, I, K), K))), H) &  (r2_tarski(k15_aofa_l00(A, E, F, I, J), H) =>  (r2_tarski(k15_aofa_l00(A, E, F, k25_aofa_l00(A, B, C, D, E, F, I, K), k25_aofa_l00(A, B, C, D, E, F, J, K)), H) & r2_tarski(k15_aofa_l00(A, E, F, k26_aofa_l00(A, B, C, D, E, F, I, K), k26_aofa_l00(A, B, C, D, E, F, J, K)), H)) ) ) ) ) ) ) )  &  ( (! [K] :  (m1_subset_1(K, u1_struct_0(B)) =>  (! [L] :  (m1_msafree4(L, u1_struct_0(B), D, k1_msafree4(u1_struct_0(B), D, K)) =>  (! [M] :  (m1_subset_1(M, k3_card_3(k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) =>  (L=M =>  (! [N] :  (m1_msafree4(N, u1_struct_0(B), u3_msualg_1(B, C), k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), K)) =>  (! [O] :  (m1_subset_1(O, k3_card_3(u3_msualg_1(E, F))) =>  (O=N =>  (r2_tarski(k16_aofa_l00(A, E, F, k24_aofa_l00(A, B, C, D, E, F, I, k11_aofa_a00(B, C, D, F, K, L, N)), k7_aofa_l00(E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, u1_aofa_l00(E), I, M, O)), H) &  ( (! [P] :  (m1_msafree4(P, u1_struct_0(B), D, k1_msafree4(u1_struct_0(B), D, K)) =>  ( ~ (r2_hidden(P, k1_msafree4(u1_struct_0(B), k10_aofa_a00(B, C, K, N), K)))  =>  (! [Q] :  (m1_subset_1(Q, k3_card_3(k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) =>  (P=Q => r2_tarski(k16_aofa_l00(A, E, F, k24_aofa_l00(A, B, C, D, E, F, k18_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, I, L), k11_aofa_a00(B, C, D, F, K, L, N)), k18_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, k24_aofa_l00(A, B, C, D, E, F, k24_aofa_l00(A, B, C, D, E, F, k6_aofa_l00(E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, u1_aofa_l00(E), I, M, Q), k11_aofa_a00(B, C, D, F, K, P, k9_aofa_l00(u1_struct_0(B), u3_msualg_1(B, C), D, K, L))), k11_aofa_a00(B, C, D, F, K, L, N)), P)), H)) ) ) ) ) )  & r2_tarski(k15_aofa_l00(A, E, F, k24_aofa_l00(A, B, C, D, E, F, I, k11_aofa_a00(B, C, D, F, K, L, N)), k18_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, I, L)), H)) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (! [K] :  (m1_subset_1(K, u1_struct_0(F)) =>  (! [L] :  (m1_subset_1(L, u1_struct_0(F)) =>  (! [M] :  (m1_subset_1(M, u1_struct_0(F)) =>  (r2_tarski(k16_aofa_l00(A, E, F, k24_aofa_l00(A, B, C, D, E, F, I, k13_aofa_000(F, K, L)), k24_aofa_l00(A, B, C, D, E, F, k24_aofa_l00(A, B, C, D, E, F, I, L), K)), H) &  (r2_tarski(k16_aofa_l00(A, E, F, k24_aofa_l00(A, B, C, D, E, F, I, k14_aofa_000(F, K, L, M)), k14_aofa_l00(A, E, F, k13_aofa_l00(A, E, F, k24_aofa_l00(A, B, C, D, E, F, G, K), k24_aofa_l00(A, B, C, D, E, F, k24_aofa_l00(A, B, C, D, E, F, I, L), K)), k13_aofa_l00(A, E, F, k24_aofa_l00(A, B, C, D, E, F, k12_aofa_l00(A, E, F, G), K), k24_aofa_l00(A, B, C, D, E, F, k24_aofa_l00(A, B, C, D, E, F, I, M), K)))), H) & r2_tarski(k16_aofa_l00(A, E, F, k24_aofa_l00(A, B, C, D, E, F, I, k16_aofa_000(F, K, L)), k14_aofa_l00(A, E, F, k13_aofa_l00(A, E, F, k24_aofa_l00(A, B, C, D, E, F, k12_aofa_l00(A, E, F, G), K), I), k13_aofa_l00(A, E, F, k24_aofa_l00(A, B, C, D, E, F, G, K), k24_aofa_l00(A, B, C, D, E, F, k24_aofa_l00(A, B, C, D, E, F, k24_aofa_l00(A, B, C, D, E, F, I, k16_aofa_000(F, K, L)), L), K)))), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k15_aofa_l00(A, B, C, E, E), D)) ) ) ) ) ) ) ) ) ) ).
fof(t36_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (r2_tarski(k13_aofa_l00(A, B, C, E, F), D) <=>  (r2_tarski(E, D) & r2_tarski(F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k15_aofa_l00(A, B, C, k14_aofa_l00(A, B, C, E, F), k14_aofa_l00(A, B, C, F, E)), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k15_aofa_l00(A, B, C, k15_aofa_l00(A, B, C, F, G), k15_aofa_l00(A, B, C, k15_aofa_l00(A, B, C, E, F), k15_aofa_l00(A, B, C, E, G))), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (r2_tarski(k15_aofa_l00(A, B, C, E, k15_aofa_l00(A, B, C, F, G)), D) => r2_tarski(k15_aofa_l00(A, B, C, F, k15_aofa_l00(A, B, C, E, G)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k15_aofa_l00(A, B, C, k15_aofa_l00(A, B, C, E, F), k15_aofa_l00(A, B, C, k15_aofa_l00(A, B, C, F, G), k15_aofa_l00(A, B, C, E, G))), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k15_aofa_l00(A, B, C, E, k15_aofa_l00(A, B, C, F, k15_aofa_l00(A, B, C, E, F))), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k15_aofa_l00(A, B, C, k15_aofa_l00(A, B, C, E, k15_aofa_l00(A, B, C, F, G)), k15_aofa_l00(A, B, C, F, k15_aofa_l00(A, B, C, E, G))), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k15_aofa_l00(A, B, C, F, k15_aofa_l00(A, B, C, k15_aofa_l00(A, B, C, F, E), E)), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (r2_tarski(k16_aofa_l00(A, B, C, E, F), D) <=>  (r2_tarski(k15_aofa_l00(A, B, C, E, F), D) & r2_tarski(k15_aofa_l00(A, B, C, F, E), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (r2_tarski(F, D) => r2_tarski(k15_aofa_l00(A, B, C, E, F), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  ( (r2_tarski(k15_aofa_l00(A, B, C, E, F), D) & r2_tarski(k15_aofa_l00(A, B, C, F, G), D))  => r2_tarski(k15_aofa_l00(A, B, C, E, G), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  ( (r2_tarski(k15_aofa_l00(A, B, C, G, k15_aofa_l00(A, B, C, F, E)), D) & r2_tarski(F, D))  => r2_tarski(k15_aofa_l00(A, B, C, G, E), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k15_aofa_l00(A, B, C, k15_aofa_l00(A, B, C, k13_aofa_l00(A, B, C, E, F), G), k15_aofa_l00(A, B, C, E, k15_aofa_l00(A, B, C, F, G))), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k15_aofa_l00(A, B, C, k15_aofa_l00(A, B, C, E, k15_aofa_l00(A, B, C, F, G)), k15_aofa_l00(A, B, C, k13_aofa_l00(A, B, C, E, F), G)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k15_aofa_l00(A, B, C, k15_aofa_l00(A, B, C, G, E), k15_aofa_l00(A, B, C, k15_aofa_l00(A, B, C, G, F), k15_aofa_l00(A, B, C, G, k13_aofa_l00(A, B, C, E, F)))), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k15_aofa_l00(A, B, C, k13_aofa_l00(A, B, C, E, F), k13_aofa_l00(A, B, C, F, E)), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k15_aofa_l00(A, B, C, k16_aofa_l00(A, B, C, E, F), k16_aofa_l00(A, B, C, F, E)), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k15_aofa_l00(A, B, C, k14_aofa_l00(A, B, C, E, E), E), D)) ) ) ) ) ) ) ) ) ) ).
fof(t54_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k15_aofa_l00(A, B, C, E, k13_aofa_l00(A, B, C, E, E)), D)) ) ) ) ) ) ) ) ) ) ).
fof(t55_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  ( (r2_tarski(k15_aofa_l00(A, B, C, E, F), D) & r2_tarski(k15_aofa_l00(A, B, C, E, G), D))  => r2_tarski(k15_aofa_l00(A, B, C, E, k13_aofa_l00(A, B, C, F, G)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k15_aofa_l00(A, B, C, k14_aofa_l00(A, B, C, k13_aofa_l00(A, B, C, E, F), k13_aofa_l00(A, B, C, E, G)), k13_aofa_l00(A, B, C, E, k14_aofa_l00(A, B, C, F, G))), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k15_aofa_l00(A, B, C, k14_aofa_l00(A, B, C, E, k13_aofa_l00(A, B, C, F, G)), k13_aofa_l00(A, B, C, k14_aofa_l00(A, B, C, E, F), k14_aofa_l00(A, B, C, E, G))), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k15_aofa_l00(A, B, C, E, k15_aofa_l00(A, B, C, k12_aofa_l00(A, B, C, E), F)), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k15_aofa_l00(A, B, C, k15_aofa_l00(A, B, C, E, F), k15_aofa_l00(A, B, C, k12_aofa_l00(A, B, C, F), k12_aofa_l00(A, B, C, E))), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (r2_tarski(k15_aofa_l00(A, B, C, E, F), D) <=> r2_tarski(k15_aofa_l00(A, B, C, k12_aofa_l00(A, B, C, F), k12_aofa_l00(A, B, C, E)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  ( (r2_tarski(k15_aofa_l00(A, B, C, E, F), D) & r2_tarski(k15_aofa_l00(A, B, C, G, H), D))  => r2_tarski(k15_aofa_l00(A, B, C, k14_aofa_l00(A, B, C, E, G), k14_aofa_l00(A, B, C, F, H)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k15_aofa_l00(A, B, C, k15_aofa_l00(A, B, C, E, F), k15_aofa_l00(A, B, C, k14_aofa_l00(A, B, C, G, E), k14_aofa_l00(A, B, C, G, F))), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  ( (r2_tarski(k15_aofa_l00(A, B, C, E, F), D) &  (r2_tarski(k15_aofa_l00(A, B, C, G, H), D) & r2_tarski(k14_aofa_l00(A, B, C, k12_aofa_l00(A, B, C, F), k12_aofa_l00(A, B, C, H)), D)) )  => r2_tarski(k14_aofa_l00(A, B, C, k12_aofa_l00(A, B, C, E), k12_aofa_l00(A, B, C, G)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k15_aofa_l00(A, B, C, k14_aofa_l00(A, B, C, E, F), k15_aofa_l00(A, B, C, k12_aofa_l00(A, B, C, E), F)), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k15_aofa_l00(A, B, C, k14_aofa_l00(A, B, C, E, F), k15_aofa_l00(A, B, C, k12_aofa_l00(A, B, C, F), E)), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k15_aofa_l00(A, B, C, E, k12_aofa_l00(A, B, C, k12_aofa_l00(A, B, C, E))), D)) ) ) ) ) ) ) ) ) ) ).
fof(t67_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k15_aofa_l00(A, B, C, k12_aofa_l00(A, B, C, k12_aofa_l00(A, B, C, E)), E), D)) ) ) ) ) ) ) ) ) ) ).
fof(t68_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k16_aofa_l00(A, B, C, E, k12_aofa_l00(A, B, C, k12_aofa_l00(A, B, C, E))), D)) ) ) ) ) ) ) ) ) ) ).
fof(t69_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (r2_tarski(k15_aofa_l00(A, B, C, E, k12_aofa_l00(A, B, C, F)), D) <=> r2_tarski(k15_aofa_l00(A, B, C, F, k12_aofa_l00(A, B, C, E)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (r2_tarski(k15_aofa_l00(A, B, C, k12_aofa_l00(A, B, C, E), F), D) <=> r2_tarski(k15_aofa_l00(A, B, C, k12_aofa_l00(A, B, C, F), E), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  ( (r2_tarski(k15_aofa_l00(A, B, C, E, k15_aofa_l00(A, B, C, F, G)), D) & r2_tarski(k15_aofa_l00(A, B, C, G, H), D))  => r2_tarski(k15_aofa_l00(A, B, C, E, k15_aofa_l00(A, B, C, F, H)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t72_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k15_aofa_l00(A, B, C, k12_aofa_l00(A, B, C, k13_aofa_l00(A, B, C, E, F)), k14_aofa_l00(A, B, C, k12_aofa_l00(A, B, C, E), k12_aofa_l00(A, B, C, F))), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t73_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k15_aofa_l00(A, B, C, k12_aofa_l00(A, B, C, k14_aofa_l00(A, B, C, E, F)), k13_aofa_l00(A, B, C, k12_aofa_l00(A, B, C, E), k12_aofa_l00(A, B, C, F))), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t74_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  ( (r2_tarski(k15_aofa_l00(A, B, C, E, F), D) & r2_tarski(k15_aofa_l00(A, B, C, G, H), D))  => r2_tarski(k15_aofa_l00(A, B, C, k13_aofa_l00(A, B, C, E, G), k13_aofa_l00(A, B, C, F, H)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k15_aofa_l00(A, B, C, k14_aofa_l00(A, B, C, k12_aofa_l00(A, B, C, E), k12_aofa_l00(A, B, C, F)), k12_aofa_l00(A, B, C, k13_aofa_l00(A, B, C, E, F))), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t76_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k15_aofa_l00(A, B, C, k13_aofa_l00(A, B, C, k12_aofa_l00(A, B, C, E), k12_aofa_l00(A, B, C, F)), k12_aofa_l00(A, B, C, k14_aofa_l00(A, B, C, E, F))), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t77_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k15_aofa_l00(A, B, C, k14_aofa_l00(A, B, C, E, k14_aofa_l00(A, B, C, F, G)), k14_aofa_l00(A, B, C, k14_aofa_l00(A, B, C, E, F), G)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t78_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k16_aofa_l00(A, B, C, k14_aofa_l00(A, B, C, k14_aofa_l00(A, B, C, E, F), G), k14_aofa_l00(A, B, C, E, k14_aofa_l00(A, B, C, F, G))), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t79_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k15_aofa_l00(A, B, C, k13_aofa_l00(A, B, C, E, k13_aofa_l00(A, B, C, F, G)), k13_aofa_l00(A, B, C, k13_aofa_l00(A, B, C, E, F), G)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t80_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k16_aofa_l00(A, B, C, k13_aofa_l00(A, B, C, k13_aofa_l00(A, B, C, E, F), G), k13_aofa_l00(A, B, C, E, k13_aofa_l00(A, B, C, F, G))), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t81_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k15_aofa_l00(A, B, C, k14_aofa_l00(A, B, C, G, k15_aofa_l00(A, B, C, E, F)), k15_aofa_l00(A, B, C, k14_aofa_l00(A, B, C, G, E), k14_aofa_l00(A, B, C, G, F))), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t82_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k15_aofa_l00(A, B, C, k13_aofa_l00(A, B, C, k14_aofa_l00(A, B, C, E, F), k14_aofa_l00(A, B, C, E, G)), k14_aofa_l00(A, B, C, E, k13_aofa_l00(A, B, C, F, G))), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t83_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k15_aofa_l00(A, B, C, k13_aofa_l00(A, B, C, E, k14_aofa_l00(A, B, C, F, G)), k14_aofa_l00(A, B, C, k13_aofa_l00(A, B, C, E, F), k13_aofa_l00(A, B, C, E, G))), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t84_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k15_aofa_l00(A, B, C, k15_aofa_l00(A, B, C, E, F), k14_aofa_l00(A, B, C, k12_aofa_l00(A, B, C, E), F)), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t85_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k15_aofa_l00(A, B, C, k15_aofa_l00(A, B, C, E, F), k12_aofa_l00(A, B, C, k13_aofa_l00(A, B, C, E, k12_aofa_l00(A, B, C, F)))), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t86_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k15_aofa_l00(A, B, C, k14_aofa_l00(A, B, C, E, k13_aofa_l00(A, B, C, k12_aofa_l00(A, B, C, F), F)), E), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t87_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k15_aofa_l00(A, B, C, k14_aofa_l00(A, B, C, E, k13_aofa_l00(A, B, C, F, k12_aofa_l00(A, B, C, F))), E), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t88_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k15_aofa_l00(A, B, C, k16_aofa_l00(A, B, C, E, F), k14_aofa_l00(A, B, C, k13_aofa_l00(A, B, C, E, F), k13_aofa_l00(A, B, C, k12_aofa_l00(A, B, C, E), k12_aofa_l00(A, B, C, F)))), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t89_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k15_aofa_l00(A, B, C, k16_aofa_l00(A, B, C, E, F), k13_aofa_l00(A, B, C, k14_aofa_l00(A, B, C, E, k12_aofa_l00(A, B, C, F)), k14_aofa_l00(A, B, C, k12_aofa_l00(A, B, C, E), F))), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t90_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k12_aofa_l00(A, B, C, k13_aofa_l00(A, B, C, E, k12_aofa_l00(A, B, C, E))), D)) ) ) ) ) ) ) ) ) ) ).
fof(t91_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) => r2_tarski(k16_aofa_l00(A, B, C, E, E), D)) ) ) ) ) ) ) ) ) ) ).
fof(t92_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (r2_tarski(k16_aofa_l00(A, B, C, E, F), D) => r2_tarski(k16_aofa_l00(A, B, C, F, E), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t93_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  ( (r2_tarski(k16_aofa_l00(A, B, C, E, F), D) & r2_tarski(k16_aofa_l00(A, B, C, F, G), D))  => r2_tarski(k16_aofa_l00(A, B, C, E, G), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t94_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  ( (r2_tarski(k16_aofa_l00(A, B, C, E, F), D) & r2_tarski(k15_aofa_l00(A, B, C, F, G), D))  => r2_tarski(k15_aofa_l00(A, B, C, E, G), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t95_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  ( (r2_tarski(k15_aofa_l00(A, B, C, E, F), D) & r2_tarski(k16_aofa_l00(A, B, C, F, G), D))  => r2_tarski(k15_aofa_l00(A, B, C, E, G), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t96_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (r2_tarski(k16_aofa_l00(A, B, C, E, F), D) <=> r2_tarski(k16_aofa_l00(A, B, C, k12_aofa_l00(A, B, C, E), k12_aofa_l00(A, B, C, F)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t97_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (r2_tarski(k16_aofa_l00(A, B, C, E, F), D) <=> r2_tarski(k16_aofa_l00(A, B, C, k12_aofa_l00(A, B, C, k12_aofa_l00(A, B, C, E)), F), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t98_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  ( (r2_tarski(k15_aofa_l00(A, B, C, E, k15_aofa_l00(A, B, C, F, G)), D) & r2_tarski(k15_aofa_l00(A, B, C, H, F), D))  => r2_tarski(k15_aofa_l00(A, B, C, E, k15_aofa_l00(A, B, C, H, G)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t99_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  ( (r2_tarski(k16_aofa_l00(A, B, C, E, k13_aofa_l00(A, B, C, F, G)), D) & r2_tarski(k16_aofa_l00(A, B, C, G, H), D))  => r2_tarski(k16_aofa_l00(A, B, C, E, k13_aofa_l00(A, B, C, F, H)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t100_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  ( (r2_tarski(k16_aofa_l00(A, B, C, E, k13_aofa_l00(A, B, C, F, G)), D) & r2_tarski(k16_aofa_l00(A, B, C, F, H), D))  => r2_tarski(k16_aofa_l00(A, B, C, E, k13_aofa_l00(A, B, C, H, G)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t101_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  ( (r2_tarski(k16_aofa_l00(A, B, C, E, k14_aofa_l00(A, B, C, F, G)), D) & r2_tarski(k16_aofa_l00(A, B, C, G, H), D))  => r2_tarski(k16_aofa_l00(A, B, C, E, k14_aofa_l00(A, B, C, F, H)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t102_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  ( (r2_tarski(k16_aofa_l00(A, B, C, E, k14_aofa_l00(A, B, C, F, G)), D) & r2_tarski(k16_aofa_l00(A, B, C, F, H), D))  => r2_tarski(k16_aofa_l00(A, B, C, E, k14_aofa_l00(A, B, C, H, G)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t103_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (r2_tarski(k15_aofa_l00(A, B, C, E, F), D) => r2_tarski(k15_aofa_l00(A, B, C, k15_aofa_l00(A, B, C, F, G), k15_aofa_l00(A, B, C, E, G)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t104_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (r2_tarski(k15_aofa_l00(A, B, C, E, F), D) => r2_tarski(k15_aofa_l00(A, B, C, k15_aofa_l00(A, B, C, G, E), k15_aofa_l00(A, B, C, G, F)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t105_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  =>  (! [C] :  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v24_aofa_l00(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [F] :  (m1_subset_1(F, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) =>  ( (r2_tarski(k15_aofa_l00(A, B, C, E, F), D) & r2_tarski(k15_aofa_l00(A, B, C, G, H), D))  => r2_tarski(k15_aofa_l00(A, B, C, k15_aofa_l00(A, B, C, F, G), k15_aofa_l00(A, B, C, E, H)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t106_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k4_aofa_l00(B, C, D)) =>  (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) => r2_tarski(k15_aofa_l00(A, E, F, k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, I), H), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t107_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k4_aofa_l00(B, C, D)) => r2_tarski(k16_aofa_l00(A, E, F, k18_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, I), k12_aofa_l00(A, E, F, k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, k12_aofa_l00(A, E, F, H), I))), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t108_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k4_aofa_l00(B, C, D)) => r2_tarski(k16_aofa_l00(A, E, F, k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, I), k12_aofa_l00(A, E, F, k18_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, k12_aofa_l00(A, E, F, H), I))), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t109_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [J] :  (m1_subset_1(J, k4_aofa_l00(B, C, D)) =>  (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) => r2_tarski(k15_aofa_l00(A, E, F, k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, k15_aofa_l00(A, E, F, H, I), J), k15_aofa_l00(A, E, F, k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, J), I)), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t110_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [J] :  (m1_subset_1(J, k4_aofa_l00(B, C, D)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(B)) =>  ( (r2_tarski(J, k1_msafree4(u1_struct_0(B), D, K)) & r2_tarski(k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, k15_aofa_l00(A, E, F, H, I), J), G))  =>  (r2_hidden(J, k1_funct_1(k10_aofa_a00(E, F, u1_aofa_l00(E), H), K)) | r2_tarski(k15_aofa_l00(A, E, F, H, k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, I, J)), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t111_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [J] :  (m1_subset_1(J, k4_aofa_l00(B, C, D)) =>  ( (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)))  => r2_tarski(k15_aofa_l00(A, E, F, k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, k15_aofa_l00(A, E, F, H, I), J), k15_aofa_l00(A, E, F, k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, J), k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, I, J))), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t112_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k4_aofa_l00(B, C, D)) =>  (! [J] :  (m1_subset_1(J, k4_aofa_l00(B, C, D)) =>  (! [K] :  (m1_subset_1(K, k3_card_3(k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) =>  (! [L] :  (m1_subset_1(L, k3_card_3(k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) =>  (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) =>  (! [M] :  (m1_subset_1(M, u1_struct_0(B)) =>  ( (r2_tarski(I, k1_msafree4(u1_struct_0(B), D, M)) &  (r2_tarski(J, k1_msafree4(u1_struct_0(B), D, M)) &  (K=I & L=J) ) )  => r2_tarski(k15_aofa_l00(A, E, F, k6_aofa_l00(E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, u1_aofa_l00(E), H, K, L), k18_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, I)), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t113_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k4_aofa_l00(B, C, D)) =>  (! [J] :  (m1_subset_1(J, k4_aofa_l00(B, C, D)) =>  ( (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)))  => r2_tarski(k16_aofa_l00(A, E, F, k20_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, I, J), k12_aofa_l00(A, E, F, k19_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, k12_aofa_l00(A, E, F, H), I, J))), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t114_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k4_aofa_l00(B, C, D)) =>  (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) => r2_tarski(k15_aofa_l00(A, E, F, H, k18_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, I)), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t115_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [H] :  (m1_subset_1(H, k4_aofa_l00(B, C, D)) =>  (v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(E)) =>  ~ ( (r2_tarski(H, k1_funct_1(D, I)) & r2_hidden(H, k1_msafree4(u1_struct_0(E), k10_aofa_a00(E, F, u1_aofa_l00(E), k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, G, H)), I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t116_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [H] :  (m1_subset_1(H, k4_aofa_l00(B, C, D)) =>  (v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(E)) =>  ~ ( (r2_tarski(H, k1_funct_1(D, I)) & r2_hidden(H, k1_msafree4(u1_struct_0(E), k10_aofa_a00(E, F, u1_aofa_l00(E), k18_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, G, H)), I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t117_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [J] :  (m1_subset_1(J, k4_aofa_l00(B, C, D)) =>  ( (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & r2_tarski(k15_aofa_l00(A, E, F, H, I), G)) )  => r2_tarski(k15_aofa_l00(A, E, F, k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, J), k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, I, J)), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t118_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [J] :  (m1_subset_1(J, k4_aofa_l00(B, C, D)) =>  ( (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)))  => r2_tarski(k15_aofa_l00(A, E, F, k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, k15_aofa_l00(A, E, F, k12_aofa_l00(A, E, F, H), k12_aofa_l00(A, E, F, I)), J), k15_aofa_l00(A, E, F, k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, I, J), k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, J))), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t119_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [J] :  (m1_subset_1(J, k4_aofa_l00(B, C, D)) =>  ( (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)))  => r2_tarski(k15_aofa_l00(A, E, F, k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, k15_aofa_l00(A, E, F, H, I), J), k15_aofa_l00(A, E, F, k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, k12_aofa_l00(A, E, F, I), J), k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, k12_aofa_l00(A, E, F, H), J))), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t120_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [J] :  (m1_subset_1(J, k4_aofa_l00(B, C, D)) =>  ( (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & r2_tarski(k16_aofa_l00(A, E, F, H, I), G)) )  => r2_tarski(k16_aofa_l00(A, E, F, k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, J), k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, I, J)), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t121_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k4_aofa_l00(B, C, D)) => r2_tarski(k16_aofa_l00(A, E, F, k18_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, k12_aofa_l00(A, E, F, H), I), k12_aofa_l00(A, E, F, k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, I))), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t122_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [J] :  (m1_subset_1(J, k4_aofa_l00(B, C, D)) =>  ( (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)))  =>  (! [K] :  (m1_subset_1(K, u1_struct_0(B)) =>  (r2_tarski(J, k1_msafree4(u1_struct_0(B), D, K)) =>  (r2_hidden(J, k1_funct_1(k10_aofa_a00(E, F, u1_aofa_l00(E), I), K)) | r2_tarski(k15_aofa_l00(A, E, F, k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, k15_aofa_l00(A, E, F, H, I), J), k15_aofa_l00(A, E, F, k18_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, J), I)), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t123_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [J] :  (m1_subset_1(J, k4_aofa_l00(B, C, D)) =>  ( (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)))  => r2_tarski(k15_aofa_l00(A, E, F, k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, k15_aofa_l00(A, E, F, H, I), J), k15_aofa_l00(A, E, F, k18_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, J), k18_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, I, J))), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t124_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k4_aofa_l00(B, C, D)) =>  ( (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)))  => r2_tarski(k16_aofa_l00(A, E, F, k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, k12_aofa_l00(A, E, F, H), I), k12_aofa_l00(A, E, F, k18_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, I))), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t125_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k4_aofa_l00(B, C, D)) =>  (! [J] :  (m1_subset_1(J, k4_aofa_l00(B, C, D)) =>  ( (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)))  => r2_tarski(k16_aofa_l00(A, E, F, k19_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, I, J), k12_aofa_l00(A, E, F, k20_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, k12_aofa_l00(A, E, F, H), I, J))), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t126_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k4_aofa_l00(B, C, D)) =>  ( (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)))  => r2_tarski(k16_aofa_l00(A, E, F, k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, I), k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, k12_aofa_l00(A, E, F, k12_aofa_l00(A, E, F, H)), I)), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t127_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [J] :  (m1_subset_1(J, k4_aofa_l00(B, C, D)) =>  ( (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)))  => r2_tarski(k15_aofa_l00(A, E, F, k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, k13_aofa_l00(A, E, F, H, I), J), k13_aofa_l00(A, E, F, k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, J), k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, I, J))), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t128_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [J] :  (m1_subset_1(J, k4_aofa_l00(B, C, D)) =>  ( (v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)))  => r2_tarski(k15_aofa_l00(A, E, F, k13_aofa_l00(A, E, F, k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, J), k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, I, J)), k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, k13_aofa_l00(A, E, F, H, I), J)), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t129_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [J] :  (m1_subset_1(J, k4_aofa_l00(B, C, D)) =>  ( (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)))  => r2_tarski(k15_aofa_l00(A, E, F, k14_aofa_l00(A, E, F, k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, J), k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, I, J)), k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, k14_aofa_l00(A, E, F, H, I), J)), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t130_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [J] :  (m1_subset_1(J, k4_aofa_l00(B, C, D)) =>  ( (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & r2_tarski(k15_aofa_l00(A, E, F, H, I), G)) )  => r2_tarski(k15_aofa_l00(A, E, F, k18_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, J), k18_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, I, J)), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t131_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [J] :  (m1_subset_1(J, k4_aofa_l00(B, C, D)) =>  ( (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & r2_tarski(k16_aofa_l00(A, E, F, H, I), G)) )  => r2_tarski(k16_aofa_l00(A, E, F, k18_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, J), k18_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, I, J)), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t132_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k4_aofa_l00(B, C, D)) =>  ( (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)))  => r2_tarski(k16_aofa_l00(A, E, F, k18_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, I), k18_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, k12_aofa_l00(A, E, F, k12_aofa_l00(A, E, F, H)), I)), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t133_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [J] :  (m1_subset_1(J, k4_aofa_l00(B, C, D)) =>  ( (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)))  => r2_tarski(k16_aofa_l00(A, E, F, k14_aofa_l00(A, E, F, k18_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, J), k18_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, I, J)), k18_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, k14_aofa_l00(A, E, F, H, I), J)), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t134_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k4_aofa_l00(B, C, D)) =>  (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(B)) =>  (r2_tarski(I, k1_msafree4(u1_struct_0(B), D, J)) =>  (r2_hidden(I, k1_funct_1(k10_aofa_a00(E, F, u1_aofa_l00(E), H), J)) | r2_tarski(k16_aofa_l00(A, E, F, H, k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, I)), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t135_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [J] :  (m1_subset_1(J, k4_aofa_l00(B, C, D)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(B)) =>  ( (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & r2_tarski(J, k1_msafree4(u1_struct_0(B), D, K))) )  =>  (r2_hidden(J, k1_funct_1(k10_aofa_a00(E, F, u1_aofa_l00(E), H), K)) | r2_tarski(k15_aofa_l00(A, E, F, k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, k14_aofa_l00(A, E, F, H, I), J), k14_aofa_l00(A, E, F, H, k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, I, J))), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t136_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [J] :  (m1_subset_1(J, k4_aofa_l00(B, C, D)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(B)) =>  ( (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & r2_tarski(J, k1_msafree4(u1_struct_0(B), D, K))) )  =>  (r2_hidden(J, k1_funct_1(k10_aofa_a00(E, F, u1_aofa_l00(E), H), K)) | r2_tarski(k15_aofa_l00(A, E, F, k18_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, k13_aofa_l00(A, E, F, H, I), J), k13_aofa_l00(A, E, F, H, k18_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, I, J))), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t137_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [J] :  (m1_subset_1(J, k4_aofa_l00(B, C, D)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(B)) =>  ( (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & r2_tarski(J, k1_msafree4(u1_struct_0(B), D, K))) )  =>  (r2_hidden(J, k1_funct_1(k10_aofa_a00(E, F, u1_aofa_l00(E), H), K)) | r2_tarski(k16_aofa_l00(A, E, F, k18_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, k13_aofa_l00(A, E, F, H, I), J), k13_aofa_l00(A, E, F, H, k18_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, I, J))), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t138_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [J] :  (m1_subset_1(J, k4_aofa_l00(B, C, D)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(B)) =>  ( (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & r2_tarski(J, k1_msafree4(u1_struct_0(B), D, K))) )  =>  (r2_hidden(J, k1_funct_1(k10_aofa_a00(E, F, u1_aofa_l00(E), H), K)) | r2_tarski(k15_aofa_l00(A, E, F, k18_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, k15_aofa_l00(A, E, F, H, I), J), k15_aofa_l00(A, E, F, H, k18_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, I, J))), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t139_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k4_aofa_l00(B, C, D)) =>  (v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) => r2_tarski(k15_aofa_l00(A, E, F, k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, I), k19_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, I, I)), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t140_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k4_aofa_l00(B, C, D)) =>  (! [J] :  (m1_subset_1(J, k4_aofa_l00(B, C, D)) =>  ( (v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)))  => r2_tarski(k15_aofa_l00(A, E, F, k19_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, I, J), k19_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, J, I)), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t141_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k4_aofa_l00(B, C, D)) =>  (! [J] :  (m1_subset_1(J, k4_aofa_l00(B, C, D)) =>  ( (v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)))  => r2_tarski(k15_aofa_l00(A, E, F, k20_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, I, J), k20_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, J, I)), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t142_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k4_aofa_l00(B, C, D)) =>  (! [J] :  (m1_subset_1(J, k4_aofa_l00(B, C, D)) =>  ( (v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)))  => r2_tarski(k15_aofa_l00(A, E, F, k18_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, J), I), k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, k18_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, I), J)), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t143_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k4_aofa_l00(B, C, D)) =>  ( (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)))  => r2_tarski(k16_aofa_l00(A, E, F, k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, k13_aofa_l00(A, E, F, H, H), I), k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, I)), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t144_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k4_aofa_l00(B, C, D)) =>  ( (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)))  => r2_tarski(k16_aofa_l00(A, E, F, k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, k14_aofa_l00(A, E, F, H, H), I), k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, I)), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t145_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) )  =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k4_aofa_l00(B, C, D)) =>  ( (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)))  => r2_tarski(k16_aofa_l00(A, E, F, k18_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, k14_aofa_l00(A, E, F, H, H), I), k18_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, H, I)), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t146_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  (m1_subset_1(F, k3_card_3(k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) =>  (! [G] :  ( (v4_msualg_1(G, E) &  (v15_aofa_l00(G, B, E, C) &  (v17_aofa_l00(G, E) & l5_aofa_l00(G, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [H] :  ( (v24_aofa_l00(H, A, E, G) &  (v25_aofa_l00(H, A, B, C, D, E, G) &  (v28_aofa_l00(H, A, B, C, D, E, G) & m1_subset_1(H, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), u1_aofa_l00(E))))) ) )  =>  (! [I] :  (m1_subset_1(I, u1_struct_0(E)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(E)) =>  (! [K] :  (m1_msafree4(K, u1_struct_0(E), u3_msualg_1(E, G), k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), I)) =>  (! [L] :  (m1_msafree4(L, u1_struct_0(E), u3_msualg_1(E, G), k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), J)) =>  (! [M] :  (m1_msafree4(M, u1_struct_0(E), u3_msualg_1(E, G), k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), J)) =>  ( (v26_aofa_l00(G, A, B, C, D, E) &  (r2_tarski(F, k1_funct_1(D, I)) & r2_tarski(k23_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), G, L, M), H)) )  => r2_tarski(k23_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), G, k7_aofa_l00(E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), G, J, L, F, K), k7_aofa_l00(E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), G, J, M, F, K)), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t147_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) &  (v28_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) ) )  =>  (! [H] :  (m1_subset_1(H, u1_struct_0(E)) =>  (! [I] :  (m1_msafree4(I, u1_struct_0(E), u3_msualg_1(E, F), k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), H)) =>  (! [J] :  (m1_msafree4(J, u1_struct_0(E), u3_msualg_1(E, F), k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), H)) =>  ( (v26_aofa_l00(F, A, B, C, D, E) &  (v20_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v13_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v18_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & r2_tarski(H, u1_struct_0(B))) ) ) )  =>  (v1_finset_1(k1_funct_1(D, H)) | r2_tarski(k15_aofa_l00(A, E, F, k23_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, I, J), k23_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, J, I)), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t148_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) & l5_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [G] :  ( (v24_aofa_l00(G, A, E, F) &  (v25_aofa_l00(G, A, B, C, D, E, F) &  (v28_aofa_l00(G, A, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) ) )  =>  (! [H] :  (m1_subset_1(H, u1_struct_0(E)) =>  (! [I] :  (m1_msafree4(I, u1_struct_0(E), u3_msualg_1(E, F), k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), H)) =>  (! [J] :  (m1_msafree4(J, u1_struct_0(E), u3_msualg_1(E, F), k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), H)) =>  (! [K] :  (m1_msafree4(K, u1_struct_0(E), u3_msualg_1(E, F), k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), H)) =>  ( (v26_aofa_l00(F, A, B, C, D, E) &  (v20_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v13_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v18_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & r2_tarski(H, u1_struct_0(B))) ) ) )  =>  (v1_finset_1(k1_funct_1(D, H)) | r2_tarski(k15_aofa_l00(A, E, F, k13_aofa_l00(A, E, F, k23_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, I, J), k23_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, J, K)), k23_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, I, K)), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t149_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  (m1_subset_1(F, k4_aofa_l00(B, C, D)) =>  (! [G] :  (m1_subset_1(G, k4_aofa_l00(B, C, D)) =>  (! [H] :  (m1_subset_1(H, k3_card_3(k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) =>  (! [I] :  (m1_subset_1(I, k3_card_3(k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) =>  (! [J] :  ( (v4_msualg_1(J, E) &  (v15_aofa_l00(J, B, E, C) &  (v17_aofa_l00(J, E) & l5_aofa_l00(J, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [K] :  ( (v24_aofa_l00(K, A, E, J) &  (v25_aofa_l00(K, A, B, C, D, E, J) &  (v28_aofa_l00(K, A, B, C, D, E, J) & m1_subset_1(K, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, J), u1_aofa_l00(E))))) ) )  =>  (! [L] :  (m1_subset_1(L, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, J), u1_aofa_l00(E))) =>  (! [M] :  (m1_subset_1(M, u1_struct_0(E)) =>  ( (v18_aofa_l00(J, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v20_aofa_l00(J, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v13_aofa_l00(J, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v12_aofa_l00(J, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v26_aofa_l00(J, A, B, C, D, E) &  (v19_aofa_l00(J, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v27_aofa_l00(J, A, B, C, D, E) &  (F=H &  (r2_tarski(H, k1_funct_1(D, M)) &  (G=I & r2_tarski(I, k1_funct_1(D, M))) ) ) ) ) ) ) ) ) )  =>  (F=G |  (r2_hidden(G, k1_msafree4(u1_struct_0(E), k10_aofa_a00(E, J, u1_aofa_l00(E), L), M)) |  (v1_finset_1(k1_funct_1(D, M)) | r2_tarski(k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), J, k16_aofa_l00(A, E, J, L, k18_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), J, k13_aofa_l00(A, E, J, k23_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), J, F, G), k6_aofa_l00(E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), J, u1_aofa_l00(E), L, H, I)), G)), F), K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t150_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  (m1_subset_1(F, k4_aofa_l00(B, C, D)) =>  (! [G] :  (m1_subset_1(G, k4_aofa_l00(B, C, D)) =>  (! [H] :  (m1_subset_1(H, k3_card_3(k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) =>  (! [I] :  (m1_subset_1(I, k3_card_3(k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) =>  (! [J] :  ( (v4_msualg_1(J, E) &  (v15_aofa_l00(J, B, E, C) &  (v17_aofa_l00(J, E) & l5_aofa_l00(J, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [K] :  ( (v24_aofa_l00(K, A, E, J) &  (v25_aofa_l00(K, A, B, C, D, E, J) &  (v28_aofa_l00(K, A, B, C, D, E, J) & m1_subset_1(K, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, J), u1_aofa_l00(E))))) ) )  =>  (! [L] :  (m1_subset_1(L, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, J), u1_aofa_l00(E))) =>  (! [M] :  (m1_subset_1(M, u1_struct_0(E)) =>  ( (v18_aofa_l00(J, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v20_aofa_l00(J, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v13_aofa_l00(J, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v12_aofa_l00(J, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v26_aofa_l00(J, A, B, C, D, E) &  (v19_aofa_l00(J, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v27_aofa_l00(J, A, B, C, D, E) &  (F=H &  (r2_tarski(H, k1_funct_1(D, M)) &  (G=I & r2_tarski(I, k1_funct_1(D, M))) ) ) ) ) ) ) ) ) )  =>  (F=G |  (r2_hidden(G, k1_msafree4(u1_struct_0(E), k10_aofa_a00(E, J, u1_aofa_l00(E), L), M)) |  (v1_finset_1(k1_funct_1(D, M)) | r2_tarski(k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), J, k16_aofa_l00(A, E, J, L, k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), J, k15_aofa_l00(A, E, J, k23_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), J, F, G), k6_aofa_l00(E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), J, u1_aofa_l00(E), L, H, I)), G)), F), K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t151_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  (m1_subset_1(F, k4_aofa_l00(B, C, D)) =>  (! [G] :  (m1_subset_1(G, k4_aofa_l00(B, C, D)) =>  (! [H] :  ( (v4_msualg_1(H, E) &  (v15_aofa_l00(H, B, E, C) &  (v17_aofa_l00(H, E) & l5_aofa_l00(H, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [I] :  ( (v24_aofa_l00(I, A, E, H) &  (v25_aofa_l00(I, A, B, C, D, E, H) &  (v28_aofa_l00(I, A, B, C, D, E, H) & m1_subset_1(I, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, H), u1_aofa_l00(E))))) ) )  =>  (! [J] :  (m1_subset_1(J, u1_struct_0(E)) =>  ( (v12_aofa_l00(H, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v26_aofa_l00(H, A, B, C, D, E) &  (v18_aofa_l00(H, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v27_aofa_l00(H, A, B, C, D, E) &  (r2_tarski(F, k1_funct_1(D, J)) & r2_tarski(G, k1_funct_1(D, J))) ) ) ) )  =>  (F=G | r2_tarski(k17_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), H, k18_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), H, k23_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), H, F, G), G), F), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t152_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  (m1_subset_1(F, k4_aofa_l00(B, C, D)) =>  (! [G] :  (m1_subset_1(G, k4_aofa_l00(B, C, D)) =>  (! [H] :  (m1_subset_1(H, k3_card_3(k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) =>  (! [I] :  (m1_subset_1(I, k3_card_3(k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) =>  (! [J] :  ( (v4_msualg_1(J, E) &  (v15_aofa_l00(J, B, E, C) &  (v17_aofa_l00(J, E) & l5_aofa_l00(J, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [K] :  ( (v24_aofa_l00(K, A, E, J) &  (v25_aofa_l00(K, A, B, C, D, E, J) &  (v28_aofa_l00(K, A, B, C, D, E, J) & m1_subset_1(K, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, J), u1_aofa_l00(E))))) ) )  =>  (! [L] :  (m1_subset_1(L, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, J), u1_aofa_l00(E))) =>  (! [M] :  (m1_subset_1(M, u1_struct_0(E)) =>  ( (v12_aofa_l00(J, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (F=H &  (r2_tarski(H, k1_funct_1(D, M)) &  (G=I & r2_tarski(I, k1_funct_1(D, M))) ) ) )  => r2_tarski(k15_aofa_l00(A, E, J, k13_aofa_l00(A, E, J, L, k23_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), J, F, G)), k6_aofa_l00(E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), J, u1_aofa_l00(E), L, H, I)), K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t153_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  (m1_subset_1(F, k4_aofa_l00(B, C, D)) =>  (! [G] :  (m1_subset_1(G, k4_aofa_l00(B, C, D)) =>  (! [H] :  (m1_subset_1(H, k3_card_3(k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) =>  (! [I] :  (m1_subset_1(I, k3_card_3(k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) =>  (! [J] :  ( (v4_msualg_1(J, E) &  (v15_aofa_l00(J, B, E, C) &  (v17_aofa_l00(J, E) & l5_aofa_l00(J, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) )  =>  (! [K] :  ( (v24_aofa_l00(K, A, E, J) &  (v25_aofa_l00(K, A, B, C, D, E, J) &  (v28_aofa_l00(K, A, B, C, D, E, J) & m1_subset_1(K, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, J), u1_aofa_l00(E))))) ) )  =>  (! [L] :  (m1_subset_1(L, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, J), u1_aofa_l00(E))) =>  (! [M] :  (m1_subset_1(M, u1_struct_0(E)) =>  ( (v12_aofa_l00(J, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (F=H &  (r2_tarski(H, k1_funct_1(D, M)) &  (G=I & r2_tarski(I, k1_funct_1(D, M))) ) ) )  => r2_tarski(k15_aofa_l00(A, E, J, k13_aofa_l00(A, E, J, L, k12_aofa_l00(A, E, J, k6_aofa_l00(E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), J, u1_aofa_l00(E), L, H, I))), k12_aofa_l00(A, E, J, k23_aofa_l00(A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), J, F, G))), K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t154_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l1_aofa_a00(C, B))  =>  (! [D] :  ( (v2_relat_1(D) & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) &  (v8_aofa_l00(E, A, k4_aofa_l00(B, C, D)) &  (v14_aofa_l00(E, B, k4_aofa_l00(B, C, D), A) & l3_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) ) ) )  =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v2_unialg_1(F) &  (v3_unialg_1(F) &  (v4_unialg_1(F) &  (v4_msualg_1(F, E) &  (v3_aofa_000(F) &  (v4_aofa_000(F) &  (v5_aofa_000(F) &  (v6_aofa_000(F) &  ( ~ (v10_aofa_000(F))  &  (v11_aofa_000(F) &  (v12_aofa_000(F) &  ( ~ (v1_catalg_1(F, E))  &  (v2_aofa_a00(F, E) &  (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) &  (v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v21_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v23_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & l6_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(F)) =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [J] :  (m1_subset_1(J, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [K] :  (m1_subset_1(K, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [L] :  ( (v24_aofa_l00(L, A, E, F) &  (v25_aofa_l00(L, A, B, C, D, E, F) &  (v28_aofa_l00(L, A, B, C, D, E, F) &  (v29_aofa_l00(L, A, B, C, D, E, F, K) & m1_subset_1(L, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) ) ) )  => r2_tarski(k16_aofa_l00(A, E, F, k24_aofa_l00(A, B, C, D, E, F, k13_aofa_l00(A, E, F, k13_aofa_l00(A, E, F, H, I), J), G), k13_aofa_l00(A, E, F, k13_aofa_l00(A, E, F, k24_aofa_l00(A, B, C, D, E, F, H, G), k24_aofa_l00(A, B, C, D, E, F, I, G)), k24_aofa_l00(A, B, C, D, E, F, J, G))), L)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t155_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l1_aofa_a00(C, B))  =>  (! [D] :  ( (v2_relat_1(D) & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) &  (v8_aofa_l00(E, A, k4_aofa_l00(B, C, D)) &  (v14_aofa_l00(E, B, k4_aofa_l00(B, C, D), A) & l3_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) ) ) )  =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v2_unialg_1(F) &  (v3_unialg_1(F) &  (v4_unialg_1(F) &  (v4_msualg_1(F, E) &  (v3_aofa_000(F) &  (v4_aofa_000(F) &  (v5_aofa_000(F) &  (v6_aofa_000(F) &  ( ~ (v10_aofa_000(F))  &  (v11_aofa_000(F) &  (v12_aofa_000(F) &  ( ~ (v1_catalg_1(F, E))  &  (v2_aofa_a00(F, E) &  (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) &  (v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v21_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v23_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & l6_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(F)) =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [J] :  (m1_subset_1(J, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [K] :  (m1_subset_1(K, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [L] :  ( (v24_aofa_l00(L, A, E, F) &  (v25_aofa_l00(L, A, B, C, D, E, F) &  (v28_aofa_l00(L, A, B, C, D, E, F) &  (v29_aofa_l00(L, A, B, C, D, E, F, K) & m1_subset_1(L, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) ) ) )  => r2_tarski(k16_aofa_l00(A, E, F, k24_aofa_l00(A, B, C, D, E, F, k14_aofa_l00(A, E, F, k14_aofa_l00(A, E, F, H, I), J), G), k14_aofa_l00(A, E, F, k14_aofa_l00(A, E, F, k24_aofa_l00(A, B, C, D, E, F, H, G), k24_aofa_l00(A, B, C, D, E, F, I, G)), k24_aofa_l00(A, B, C, D, E, F, J, G))), L)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t156_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l1_aofa_a00(C, B))  =>  (! [D] :  ( (v2_relat_1(D) & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) &  (v8_aofa_l00(E, A, k4_aofa_l00(B, C, D)) &  (v14_aofa_l00(E, B, k4_aofa_l00(B, C, D), A) & l3_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) ) ) )  =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v2_unialg_1(F) &  (v3_unialg_1(F) &  (v4_unialg_1(F) &  (v4_msualg_1(F, E) &  (v3_aofa_000(F) &  (v4_aofa_000(F) &  (v5_aofa_000(F) &  (v6_aofa_000(F) &  ( ~ (v10_aofa_000(F))  &  (v11_aofa_000(F) &  (v12_aofa_000(F) &  ( ~ (v1_catalg_1(F, E))  &  (v2_aofa_a00(F, E) &  (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) &  (v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v21_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v23_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & l6_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(F)) =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [J] :  (m1_subset_1(J, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [K] :  ( (v24_aofa_l00(K, A, E, F) &  (v25_aofa_l00(K, A, B, C, D, E, F) &  (v28_aofa_l00(K, A, B, C, D, E, F) &  (v29_aofa_l00(K, A, B, C, D, E, F, J) & m1_subset_1(K, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) ) ) )  =>  (r2_tarski(k16_aofa_l00(A, E, F, H, I), K) => r2_tarski(k16_aofa_l00(A, E, F, k25_aofa_l00(A, B, C, D, E, F, H, G), k25_aofa_l00(A, B, C, D, E, F, I, G)), K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t157_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l1_aofa_a00(C, B))  =>  (! [D] :  ( (v2_relat_1(D) & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) &  (v8_aofa_l00(E, A, k4_aofa_l00(B, C, D)) &  (v14_aofa_l00(E, B, k4_aofa_l00(B, C, D), A) & l3_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) ) ) )  =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v2_unialg_1(F) &  (v3_unialg_1(F) &  (v4_unialg_1(F) &  (v4_msualg_1(F, E) &  (v3_aofa_000(F) &  (v4_aofa_000(F) &  (v5_aofa_000(F) &  (v6_aofa_000(F) &  ( ~ (v10_aofa_000(F))  &  (v11_aofa_000(F) &  (v12_aofa_000(F) &  ( ~ (v1_catalg_1(F, E))  &  (v2_aofa_a00(F, E) &  (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) &  (v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v21_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v23_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & l6_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(F)) =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [J] :  (m1_subset_1(J, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [K] :  ( (v24_aofa_l00(K, A, E, F) &  (v25_aofa_l00(K, A, B, C, D, E, F) &  (v28_aofa_l00(K, A, B, C, D, E, F) &  (v29_aofa_l00(K, A, B, C, D, E, F, J) & m1_subset_1(K, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) ) ) )  =>  (r2_tarski(k16_aofa_l00(A, E, F, H, I), K) => r2_tarski(k16_aofa_l00(A, E, F, k26_aofa_l00(A, B, C, D, E, F, H, G), k26_aofa_l00(A, B, C, D, E, F, I, G)), K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t158_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l1_aofa_a00(C, B))  =>  (! [D] :  ( (v2_relat_1(D) & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) &  (v8_aofa_l00(E, A, k4_aofa_l00(B, C, D)) &  (v14_aofa_l00(E, B, k4_aofa_l00(B, C, D), A) & l3_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) ) ) )  =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v2_unialg_1(F) &  (v3_unialg_1(F) &  (v4_unialg_1(F) &  (v4_msualg_1(F, E) &  (v3_aofa_000(F) &  (v4_aofa_000(F) &  (v5_aofa_000(F) &  (v6_aofa_000(F) &  ( ~ (v10_aofa_000(F))  &  (v11_aofa_000(F) &  (v12_aofa_000(F) &  ( ~ (v1_catalg_1(F, E))  &  (v2_aofa_a00(F, E) &  (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) &  (v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v21_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v23_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & l6_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(F)) =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [J] :  ( (v24_aofa_l00(J, A, E, F) &  (v25_aofa_l00(J, A, B, C, D, E, F) &  (v28_aofa_l00(J, A, B, C, D, E, F) &  (v29_aofa_l00(J, A, B, C, D, E, F, I) & m1_subset_1(J, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) ) ) )  => r2_tarski(k16_aofa_l00(A, E, F, k25_aofa_l00(A, B, C, D, E, F, H, G), k14_aofa_l00(A, E, F, k14_aofa_l00(A, E, F, H, k24_aofa_l00(A, B, C, D, E, F, H, G)), k25_aofa_l00(A, B, C, D, E, F, k24_aofa_l00(A, B, C, D, E, F, H, k13_aofa_000(F, G, G)), G))), J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t159_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l1_aofa_a00(C, B))  =>  (! [D] :  ( (v2_relat_1(D) & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) &  (v8_aofa_l00(E, A, k4_aofa_l00(B, C, D)) &  (v14_aofa_l00(E, B, k4_aofa_l00(B, C, D), A) & l3_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) ) ) )  =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v2_unialg_1(F) &  (v3_unialg_1(F) &  (v4_unialg_1(F) &  (v4_msualg_1(F, E) &  (v3_aofa_000(F) &  (v4_aofa_000(F) &  (v5_aofa_000(F) &  (v6_aofa_000(F) &  ( ~ (v10_aofa_000(F))  &  (v11_aofa_000(F) &  (v12_aofa_000(F) &  ( ~ (v1_catalg_1(F, E))  &  (v2_aofa_a00(F, E) &  (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) &  (v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v21_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v23_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & l6_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(F)) =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [J] :  ( (v24_aofa_l00(J, A, E, F) &  (v25_aofa_l00(J, A, B, C, D, E, F) &  (v28_aofa_l00(J, A, B, C, D, E, F) &  (v29_aofa_l00(J, A, B, C, D, E, F, I) & m1_subset_1(J, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) ) ) )  => r2_tarski(k16_aofa_l00(A, E, F, k26_aofa_l00(A, B, C, D, E, F, H, G), k13_aofa_l00(A, E, F, k13_aofa_l00(A, E, F, H, k24_aofa_l00(A, B, C, D, E, F, H, G)), k26_aofa_l00(A, B, C, D, E, F, k24_aofa_l00(A, B, C, D, E, F, H, k13_aofa_000(F, G, G)), G))), J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t160_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l1_aofa_a00(C, B))  =>  (! [D] :  ( (v2_relat_1(D) & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) &  (v8_aofa_l00(E, A, k4_aofa_l00(B, C, D)) &  (v14_aofa_l00(E, B, k4_aofa_l00(B, C, D), A) & l3_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) ) ) )  =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v2_unialg_1(F) &  (v3_unialg_1(F) &  (v4_unialg_1(F) &  (v4_msualg_1(F, E) &  (v3_aofa_000(F) &  (v4_aofa_000(F) &  (v5_aofa_000(F) &  (v6_aofa_000(F) &  ( ~ (v10_aofa_000(F))  &  (v11_aofa_000(F) &  (v12_aofa_000(F) &  ( ~ (v1_catalg_1(F, E))  &  (v2_aofa_a00(F, E) &  (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) &  (v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v21_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v23_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & l6_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [G] :  (m1_subset_1(G, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [I] :  ( (v24_aofa_l00(I, A, E, F) &  (v25_aofa_l00(I, A, B, C, D, E, F) &  (v28_aofa_l00(I, A, B, C, D, E, F) &  (v29_aofa_l00(I, A, B, C, D, E, F, H) & m1_subset_1(I, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) ) ) )  =>  (! [J] :  (m1_subset_1(J, u1_struct_0(B)) =>  (! [K] :  (m1_msafree4(K, u1_struct_0(B), D, k1_msafree4(u1_struct_0(B), D, J)) =>  (! [L] :  (m1_msafree4(L, u1_struct_0(B), D, k1_msafree4(u1_struct_0(B), D, J)) =>  (! [M] :  (m1_subset_1(M, k3_card_3(k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) =>  (! [N] :  (m1_subset_1(N, k3_card_3(k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) =>  ( (K=M & L=N)  => r2_tarski(k16_aofa_l00(A, E, F, k24_aofa_l00(A, B, C, D, E, F, G, k11_aofa_a00(B, C, D, F, J, K, k9_aofa_l00(u1_struct_0(B), u3_msualg_1(B, C), D, J, L))), k6_aofa_l00(E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0), F, u1_aofa_l00(E), G, M, N)), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t161_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l1_aofa_a00(C, B))  =>  (! [D] :  ( (v2_relat_1(D) & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) &  (v8_aofa_l00(E, A, k4_aofa_l00(B, C, D)) &  (v14_aofa_l00(E, B, k4_aofa_l00(B, C, D), A) & l3_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) ) ) )  =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v2_unialg_1(F) &  (v3_unialg_1(F) &  (v4_unialg_1(F) &  (v4_msualg_1(F, E) &  (v3_aofa_000(F) &  (v4_aofa_000(F) &  (v5_aofa_000(F) &  (v6_aofa_000(F) &  ( ~ (v10_aofa_000(F))  &  (v11_aofa_000(F) &  (v12_aofa_000(F) &  ( ~ (v1_catalg_1(F, E))  &  (v2_aofa_a00(F, E) &  (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) &  (v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v21_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v23_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & l6_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(F)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(F)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(F)) =>  (! [J] :  (m1_subset_1(J, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [K] :  (m1_subset_1(K, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [L] :  ( (v24_aofa_l00(L, A, E, F) &  (v25_aofa_l00(L, A, B, C, D, E, F) &  (v28_aofa_l00(L, A, B, C, D, E, F) &  (v29_aofa_l00(L, A, B, C, D, E, F, K) & m1_subset_1(L, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) ) ) )  =>  ( ( (r2_tarski(k24_aofa_l00(A, B, C, D, E, F, K, G), L) & r2_tarski(k24_aofa_l00(A, B, C, D, E, F, k24_aofa_l00(A, B, C, D, E, F, J, H), G), L))  |  (r2_tarski(k24_aofa_l00(A, B, C, D, E, F, k12_aofa_l00(A, E, F, K), G), L) & r2_tarski(k24_aofa_l00(A, B, C, D, E, F, k24_aofa_l00(A, B, C, D, E, F, J, I), G), L)) )  => r2_tarski(k24_aofa_l00(A, B, C, D, E, F, J, k14_aofa_000(F, G, H, I)), L)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t162_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l1_aofa_a00(C, B))  =>  (! [D] :  ( (v2_relat_1(D) & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) &  (v8_aofa_l00(E, A, k4_aofa_l00(B, C, D)) &  (v14_aofa_l00(E, B, k4_aofa_l00(B, C, D), A) & l3_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) ) ) )  =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v2_unialg_1(F) &  (v3_unialg_1(F) &  (v4_unialg_1(F) &  (v4_msualg_1(F, E) &  (v3_aofa_000(F) &  (v4_aofa_000(F) &  (v5_aofa_000(F) &  (v6_aofa_000(F) &  ( ~ (v10_aofa_000(F))  &  (v11_aofa_000(F) &  (v12_aofa_000(F) &  ( ~ (v1_catalg_1(F, E))  &  (v2_aofa_a00(F, E) &  (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) &  (v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v21_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v23_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & l6_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(F)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(F)) =>  (! [I] :  (m1_subset_1(I, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [J] :  (m1_subset_1(J, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) =>  (! [K] :  ( (v24_aofa_l00(K, A, E, F) &  (v25_aofa_l00(K, A, B, C, D, E, F) &  (v28_aofa_l00(K, A, B, C, D, E, F) &  (v29_aofa_l00(K, A, B, C, D, E, F, J) & m1_subset_1(K, k1_zfmisc_1(k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))))) ) ) )  =>  ( ( (r2_tarski(k24_aofa_l00(A, B, C, D, E, F, k12_aofa_l00(A, E, F, J), G), K) & r2_tarski(I, K))  |  (r2_tarski(k24_aofa_l00(A, B, C, D, E, F, J, G), K) & r2_tarski(k24_aofa_l00(A, B, C, D, E, F, k24_aofa_l00(A, B, C, D, E, F, k24_aofa_l00(A, B, C, D, E, F, I, k16_aofa_000(F, G, H)), H), G), K)) )  => r2_tarski(k24_aofa_l00(A, B, C, D, E, F, I, k16_aofa_000(F, G, H)), K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_aofa_l00, axiom,  (! [A, B, C, D] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v1_relat_1(k1_aofa_l00(A, B, C, D)) &  (v4_relat_1(k1_aofa_l00(A, B, C, D), A) &  (v1_funct_1(k1_aofa_l00(A, B, C, D)) & v1_partfun1(k1_aofa_l00(A, B, C, D), A)) ) ) ) ) ).
fof(redefinition_k1_aofa_l00, axiom,  (! [A, B, C, D] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => k1_aofa_l00(A, B, C, D)=k1_funct_7(B, C, D)) ) ).
fof(dt_k2_aofa_l00, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k2_aofa_l00(A, B, C)) &  (v4_relat_1(k2_aofa_l00(A, B, C), B) &  (v1_funct_1(k2_aofa_l00(A, B, C)) & v1_partfun1(k2_aofa_l00(A, B, C), B)) ) ) ) ) ).
fof(abstractness_v3_aofa_l00, axiom,  (! [A] :  (l1_aofa_l00(A) =>  (v3_aofa_l00(A) => A=g1_aofa_l00(u1_struct_0(A), u4_struct_0(A), u1_msualg_1(A), u2_msualg_1(A), u1_aofa_l00(A), u7_aofa_a00(A))) ) ) ).
fof(dt_l1_aofa_l00, axiom,  (! [A] :  (l1_aofa_l00(A) => l5_aofa_a00(A)) ) ).
fof(existence_l1_aofa_l00, axiom,  (? [A] : l1_aofa_l00(A)) ).
fof(dt_g1_aofa_l00, axiom,  (! [A, B, C, D, E, F] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, B, k3_finseq_2(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k3_finseq_2(A))))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  (m1_subset_1(E, A) & m1_finseq_1(F, B)) ) )  =>  (v3_aofa_l00(g1_aofa_l00(A, B, C, D, E, F)) & l1_aofa_l00(g1_aofa_l00(A, B, C, D, E, F))) ) ) ).
fof(free_g1_aofa_l00, axiom,  (! [A, B, C, D, E, F] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, B, k3_finseq_2(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k3_finseq_2(A))))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  (m1_subset_1(E, A) & m1_finseq_1(F, B)) ) )  =>  (! [G, H, I, J, K, L] :  (g1_aofa_l00(A, B, C, D, E, F)=g1_aofa_l00(G, H, I, J, K, L) =>  (A=G &  (B=H &  (C=I &  (D=J &  (E=K & F=L) ) ) ) ) ) ) ) ) ).
fof(dt_u1_aofa_l00, axiom,  (! [A] :  (l1_aofa_l00(A) => m1_subset_1(u1_aofa_l00(A), u1_struct_0(A))) ) ).
fof(abstractness_v4_aofa_l00, axiom,  (! [A, B] :  (l2_aofa_l00(B, A) =>  (v4_aofa_l00(B, A) => B=g2_aofa_l00(A, u1_struct_0(B), u4_struct_0(B), u1_msualg_1(B), u2_msualg_1(B), u1_aofa_l00(B), u7_aofa_a00(B), u2_aofa_l00(A, B), u3_aofa_l00(A, B))) ) ) ).
fof(dt_l2_aofa_l00, axiom,  (! [A] :  (! [B] :  (l2_aofa_l00(B, A) => l1_aofa_l00(B)) ) ) ).
fof(existence_l2_aofa_l00, axiom,  (! [A] :  (? [B] : l2_aofa_l00(B, A)) ) ).
fof(dt_g2_aofa_l00, axiom,  (! [A, B, C, D, E, F, G, H, I] :  ( ( (v1_funct_1(D) &  (v1_funct_2(D, C, k3_finseq_2(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k3_finseq_2(B))))) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, C, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, B)))) )  &  (m1_subset_1(F, B) &  (m1_finseq_1(G, C) &  (v1_funct_1(I) &  (v1_funct_2(I, k2_zfmisc_1(H, A), C) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(H, A), C)))) ) ) ) ) )  =>  (v4_aofa_l00(g2_aofa_l00(A, B, C, D, E, F, G, H, I), A) & l2_aofa_l00(g2_aofa_l00(A, B, C, D, E, F, G, H, I), A)) ) ) ).
fof(free_g2_aofa_l00, axiom,  (! [A, B, C, D, E, F, G, H, I] :  ( ( (v1_funct_1(D) &  (v1_funct_2(D, C, k3_finseq_2(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k3_finseq_2(B))))) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, C, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, B)))) )  &  (m1_subset_1(F, B) &  (m1_finseq_1(G, C) &  (v1_funct_1(I) &  (v1_funct_2(I, k2_zfmisc_1(H, A), C) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(H, A), C)))) ) ) ) ) )  =>  (! [J, K, L, M, N, O, P, Q, R] :  (g2_aofa_l00(A, B, C, D, E, F, G, H, I)=g2_aofa_l00(J, K, L, M, N, O, P, Q, R) =>  (A=J &  (B=K &  (C=L &  (D=M &  (E=N &  (F=O &  (G=P &  (H=Q & I=R) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_u3_aofa_l00, axiom,  (! [A, B] :  (l2_aofa_l00(B, A) =>  (v1_funct_1(u3_aofa_l00(A, B)) &  (v1_funct_2(u3_aofa_l00(A, B), k2_zfmisc_1(u2_aofa_l00(A, B), A), u4_struct_0(B)) & m1_subset_1(u3_aofa_l00(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u2_aofa_l00(A, B), A), u4_struct_0(B))))) ) ) ) ).
fof(abstractness_v5_aofa_l00, axiom,  (! [A, B] :  (l3_aofa_l00(B, A) =>  (v5_aofa_l00(B, A) => B=g3_aofa_l00(A, u1_struct_0(B), u4_struct_0(B), u1_msualg_1(B), u2_msualg_1(B), u1_aofa_l00(B), u4_aofa_l00(A, B), u7_aofa_a00(B), u2_aofa_l00(A, B), u3_aofa_l00(A, B))) ) ) ).
fof(dt_l3_aofa_l00, axiom,  (! [A] :  (! [B] :  (l3_aofa_l00(B, A) => l2_aofa_l00(B, A)) ) ) ).
fof(existence_l3_aofa_l00, axiom,  (! [A] :  (? [B] : l3_aofa_l00(B, A)) ) ).
fof(dt_g3_aofa_l00, axiom,  (! [A, B, C, D, E, F, G, H, I, J] :  ( ( (v1_funct_1(D) &  (v1_funct_2(D, C, k3_finseq_2(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k3_finseq_2(B))))) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, C, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, B)))) )  &  (m1_subset_1(F, B) &  (m1_subset_1(G, B) &  (m1_finseq_1(H, C) &  (v1_funct_1(J) &  (v1_funct_2(J, k2_zfmisc_1(I, A), C) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(I, A), C)))) ) ) ) ) ) )  =>  (v5_aofa_l00(g3_aofa_l00(A, B, C, D, E, F, G, H, I, J), A) & l3_aofa_l00(g3_aofa_l00(A, B, C, D, E, F, G, H, I, J), A)) ) ) ).
fof(free_g3_aofa_l00, axiom,  (! [A, B, C, D, E, F, G, H, I, J] :  ( ( (v1_funct_1(D) &  (v1_funct_2(D, C, k3_finseq_2(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k3_finseq_2(B))))) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, C, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, B)))) )  &  (m1_subset_1(F, B) &  (m1_subset_1(G, B) &  (m1_finseq_1(H, C) &  (v1_funct_1(J) &  (v1_funct_2(J, k2_zfmisc_1(I, A), C) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(I, A), C)))) ) ) ) ) ) )  =>  (! [K, L, M, N, O, P, Q, R, S, T] :  (g3_aofa_l00(A, B, C, D, E, F, G, H, I, J)=g3_aofa_l00(K, L, M, N, O, P, Q, R, S, T) =>  (A=K &  (B=L &  (C=M &  (D=N &  (E=O &  (F=P &  (G=Q &  (H=R &  (I=S & J=T) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_u4_aofa_l00, axiom,  (! [A, B] :  (l3_aofa_l00(B, A) => m1_subset_1(u4_aofa_l00(A, B), u1_struct_0(B))) ) ).
fof(dt_k3_aofa_l00, axiom,  (! [A, B] :  (v1_funct_1(k3_aofa_l00(A, B)) &  (v1_funct_2(k3_aofa_l00(A, B), B, A) & m1_subset_1(k3_aofa_l00(A, B), k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) ).
fof(existence_m1_aofa_l00, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  & l3_msualg_1(B, A))  =>  (? [C] : m1_aofa_l00(C, A, B)) ) ) ).
fof(dt_k4_aofa_l00, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  &  (l3_msualg_1(B, A) & m1_msafree(C, A, B)) )  => m1_aofa_l00(k4_aofa_l00(A, B, C), A, B)) ) ).
fof(redefinition_k4_aofa_l00, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  &  (l3_msualg_1(B, A) & m1_msafree(C, A, B)) )  => k4_aofa_l00(A, B, C)=k3_card_3(C)) ) ).
fof(abstractness_v11_aofa_l00, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  & l4_aofa_l00(C, A, B)) )  =>  (v11_aofa_l00(C, A, B) => C=g4_aofa_l00(A, B, u3_msualg_1(B, C), u4_msualg_1(B, C), u5_aofa_l00(A, B, C))) ) ) ).
fof(dt_l4_aofa_l00, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (l4_aofa_l00(C, A, B) => l3_msualg_1(C, A)) ) ) ) ).
fof(existence_l4_aofa_l00, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (? [C] : l4_aofa_l00(C, A, B)) ) ) ).
fof(dt_g4_aofa_l00, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) )  &  (m2_pboole(D, u4_struct_0(A), k3_msafree4(k3_finseq_2(u1_struct_0(A)), u4_struct_0(A), u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), C)), k3_msafree4(u1_struct_0(A), u4_struct_0(A), u2_msualg_1(A), C)) &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(k3_card_3(C), k3_card_3(k6_pboole(u1_struct_0(A), B, C))), k3_card_3(C)) &  (v10_aofa_l00(E, u1_struct_0(A), C, k3_card_3(k6_pboole(u1_struct_0(A), B, C))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_card_3(C), k3_card_3(k6_pboole(u1_struct_0(A), B, C))), k3_card_3(C))))) ) ) ) ) ) )  =>  (v11_aofa_l00(g4_aofa_l00(A, B, C, D, E), A, B) & l4_aofa_l00(g4_aofa_l00(A, B, C, D, E), A, B)) ) ) ).
fof(free_g4_aofa_l00, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) )  &  (m2_pboole(D, u4_struct_0(A), k3_msafree4(k3_finseq_2(u1_struct_0(A)), u4_struct_0(A), u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), C)), k3_msafree4(u1_struct_0(A), u4_struct_0(A), u2_msualg_1(A), C)) &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(k3_card_3(C), k3_card_3(k6_pboole(u1_struct_0(A), B, C))), k3_card_3(C)) &  (v10_aofa_l00(E, u1_struct_0(A), C, k3_card_3(k6_pboole(u1_struct_0(A), B, C))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_card_3(C), k3_card_3(k6_pboole(u1_struct_0(A), B, C))), k3_card_3(C))))) ) ) ) ) ) )  =>  (! [F, G, H, I, J] :  (g4_aofa_l00(A, B, C, D, E)=g4_aofa_l00(F, G, H, I, J) =>  (A=F &  (B=G &  (C=H &  (D=I & E=J) ) ) ) ) ) ) ) ).
fof(dt_u5_aofa_l00, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  & l4_aofa_l00(C, A, B)) )  =>  (v1_funct_1(u5_aofa_l00(A, B, C)) &  (v1_funct_2(u5_aofa_l00(A, B, C), k2_zfmisc_1(k3_card_3(u3_msualg_1(A, C)), k3_card_3(k6_pboole(u1_struct_0(A), B, u3_msualg_1(A, C)))), k3_card_3(u3_msualg_1(A, C))) &  (v10_aofa_l00(u5_aofa_l00(A, B, C), u1_struct_0(A), u3_msualg_1(A, C), k3_card_3(k6_pboole(u1_struct_0(A), B, u3_msualg_1(A, C)))) & m1_subset_1(u5_aofa_l00(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_card_3(u3_msualg_1(A, C)), k3_card_3(k6_pboole(u1_struct_0(A), B, u3_msualg_1(A, C)))), k3_card_3(u3_msualg_1(A, C)))))) ) ) ) ) ).
fof(dt_k5_aofa_l00, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  &  ( (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (l4_aofa_l00(C, A, B) & m1_subset_1(D, k3_card_3(B))) ) )  => m1_subset_1(k5_aofa_l00(A, B, C, D), k3_card_3(u3_msualg_1(A, C)))) ) ).
fof(dt_k6_aofa_l00, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  &  ( (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (l4_aofa_l00(C, A, B) &  (m1_subset_1(D, u1_struct_0(A)) &  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, C), D)) &  (m1_subset_1(F, k3_card_3(B)) & m1_subset_1(G, k3_card_3(B))) ) ) ) ) )  => m1_subset_1(k6_aofa_l00(A, B, C, D, E, F, G), k1_funct_1(u3_msualg_1(A, C), D))) ) ).
fof(dt_k7_aofa_l00, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  &  ( (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (l4_aofa_l00(C, A, B) &  (m1_subset_1(D, u1_struct_0(A)) &  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, C), D)) &  (m1_subset_1(F, k3_card_3(B)) & m1_subset_1(G, k3_card_3(u3_msualg_1(A, C)))) ) ) ) ) )  => m1_subset_1(k7_aofa_l00(A, B, C, D, E, F, G), k1_funct_1(u3_msualg_1(A, C), D))) ) ).
fof(dt_k8_aofa_l00, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  &  ( (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v4_msualg_1(C, A) & l4_aofa_l00(C, A, B))  &  (m1_subset_1(D, u4_struct_0(A)) &  (m1_subset_1(E, k3_msualg_1(A, D, C)) &  (m1_subset_1(F, k3_card_3(B)) & m1_subset_1(G, k3_card_3(u3_msualg_1(A, C)))) ) ) ) ) )  => m1_msafree4(k8_aofa_l00(A, B, C, D, E, F, G), k3_finseq_2(u1_struct_0(A)), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, C)), k3_msualg_1(A, D, C))) ) ).
fof(dt_k9_aofa_l00, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  &  ( (v2_relat_1(C) & m3_pboole(C, A, B))  &  (m1_subset_1(D, A) & m1_subset_1(E, k1_msafree4(A, C, D))) ) ) )  => m1_msafree4(k9_aofa_l00(A, B, C, D, E), A, B, k1_msafree4(A, B, D))) ) ).
fof(dt_k10_aofa_l00, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C)))) ) ) ) ) )  =>  (v1_funct_1(k10_aofa_l00(A, B, C, D, E)) &  (v1_funct_2(k10_aofa_l00(A, B, C, D, E), A, C) & m1_subset_1(k10_aofa_l00(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(A, C)))) ) ) ) ).
fof(redefinition_k10_aofa_l00, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C)))) ) ) ) ) )  => k10_aofa_l00(A, B, C, D, E)=k3_relat_1(D, E)) ) ).
fof(abstractness_v16_aofa_l00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( ( ~ (v3_relat_1(C))  & m1_msafree(C, A, B))  &  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_aofa_l00(D, A) & l2_aofa_l00(D, k4_aofa_l00(A, B, C))) ) )  &  ( (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(D)) &  (v1_funct_1(E) &  (v1_partfun1(E, u1_struct_0(D)) & v1_aofa_l00(E, C)) ) ) )  & l5_aofa_l00(F, A, B, C, D, E)) ) ) ) )  =>  (v16_aofa_l00(F, A, B, C, D, E) => F=g5_aofa_l00(A, B, C, D, E, u3_msualg_1(E, F), u4_msualg_1(E, F), u1_aofa_a00(E, F), u5_aofa_l00(D, E, F), u6_aofa_l00(A, B, C, D, E, F))) ) ) ).
fof(dt_l5_aofa_l00, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( ( ~ (v3_relat_1(C))  & m1_msafree(C, A, B))  &  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_aofa_l00(D, A) & l2_aofa_l00(D, k4_aofa_l00(A, B, C))) ) )  &  (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(D)) &  (v1_funct_1(E) &  (v1_partfun1(E, u1_struct_0(D)) & v1_aofa_l00(E, C)) ) ) ) ) ) ) )  =>  (! [F] :  (l5_aofa_l00(F, A, B, C, D, E) =>  (l1_aofa_a00(F, D) & l4_aofa_l00(F, D, E)) ) ) ) ) ).
fof(existence_l5_aofa_l00, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( ( ~ (v3_relat_1(C))  & m1_msafree(C, A, B))  &  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_aofa_l00(D, A) & l2_aofa_l00(D, k4_aofa_l00(A, B, C))) ) )  &  (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(D)) &  (v1_funct_1(E) &  (v1_partfun1(E, u1_struct_0(D)) & v1_aofa_l00(E, C)) ) ) ) ) ) ) )  =>  (? [F] : l5_aofa_l00(F, A, B, C, D, E)) ) ) ).
fof(dt_g5_aofa_l00, axiom,  (! [A, B, C, D, E, F, G, H, I, J] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( ( ~ (v3_relat_1(C))  & m1_msafree(C, A, B))  &  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_aofa_l00(D, A) & l2_aofa_l00(D, k4_aofa_l00(A, B, C))) ) )  &  ( (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(D)) &  (v1_funct_1(E) &  (v1_partfun1(E, u1_struct_0(D)) & v1_aofa_l00(E, C)) ) ) )  &  ( (v1_relat_1(F) &  (v4_relat_1(F, u1_struct_0(D)) &  (v1_funct_1(F) & v1_partfun1(F, u1_struct_0(D))) ) )  &  (m2_pboole(G, u4_struct_0(D), k3_msafree4(k3_finseq_2(u1_struct_0(D)), u4_struct_0(D), u1_msualg_1(D), k6_finseq_2(u1_struct_0(D), F)), k3_msafree4(u1_struct_0(D), u4_struct_0(D), u2_msualg_1(D), F)) &  (m2_aofa_a00(H, u1_struct_0(D), u1_struct_0(D), F, F) &  ( (v1_funct_1(I) &  (v1_funct_2(I, k2_zfmisc_1(k3_card_3(F), k3_card_3(k6_pboole(u1_struct_0(D), E, F))), k3_card_3(F)) &  (v10_aofa_l00(I, u1_struct_0(D), F, k3_card_3(k6_pboole(u1_struct_0(D), E, F))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_card_3(F), k3_card_3(k6_pboole(u1_struct_0(D), E, F))), k3_card_3(F))))) ) )  &  (v1_funct_1(J) &  (v1_funct_2(J, k3_card_3(k6_pboole(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))), k1_msafree4(u1_struct_0(D), F, u1_aofa_l00(D))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(k3_card_3(k6_pboole(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))), k1_msafree4(u1_struct_0(D), F, u1_aofa_l00(D)))))) ) ) ) ) ) ) ) ) ) )  =>  (v16_aofa_l00(g5_aofa_l00(A, B, C, D, E, F, G, H, I, J), A, B, C, D, E) & l5_aofa_l00(g5_aofa_l00(A, B, C, D, E, F, G, H, I, J), A, B, C, D, E)) ) ) ).
fof(free_g5_aofa_l00, axiom,  (! [A, B, C, D, E, F, G, H, I, J] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( ( ~ (v3_relat_1(C))  & m1_msafree(C, A, B))  &  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_aofa_l00(D, A) & l2_aofa_l00(D, k4_aofa_l00(A, B, C))) ) )  &  ( (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(D)) &  (v1_funct_1(E) &  (v1_partfun1(E, u1_struct_0(D)) & v1_aofa_l00(E, C)) ) ) )  &  ( (v1_relat_1(F) &  (v4_relat_1(F, u1_struct_0(D)) &  (v1_funct_1(F) & v1_partfun1(F, u1_struct_0(D))) ) )  &  (m2_pboole(G, u4_struct_0(D), k3_msafree4(k3_finseq_2(u1_struct_0(D)), u4_struct_0(D), u1_msualg_1(D), k6_finseq_2(u1_struct_0(D), F)), k3_msafree4(u1_struct_0(D), u4_struct_0(D), u2_msualg_1(D), F)) &  (m2_aofa_a00(H, u1_struct_0(D), u1_struct_0(D), F, F) &  ( (v1_funct_1(I) &  (v1_funct_2(I, k2_zfmisc_1(k3_card_3(F), k3_card_3(k6_pboole(u1_struct_0(D), E, F))), k3_card_3(F)) &  (v10_aofa_l00(I, u1_struct_0(D), F, k3_card_3(k6_pboole(u1_struct_0(D), E, F))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_card_3(F), k3_card_3(k6_pboole(u1_struct_0(D), E, F))), k3_card_3(F))))) ) )  &  (v1_funct_1(J) &  (v1_funct_2(J, k3_card_3(k6_pboole(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))), k1_msafree4(u1_struct_0(D), F, u1_aofa_l00(D))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(k3_card_3(k6_pboole(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))), k1_msafree4(u1_struct_0(D), F, u1_aofa_l00(D)))))) ) ) ) ) ) ) ) ) ) )  =>  (! [K, L, M, N, O, P, Q, R, S, T] :  (g5_aofa_l00(A, B, C, D, E, F, G, H, I, J)=g5_aofa_l00(K, L, M, N, O, P, Q, R, S, T) =>  (A=K &  (B=L &  (C=M &  (D=N &  (E=O &  (F=P &  (G=Q &  (H=R &  (I=S & J=T) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_u6_aofa_l00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( ( ~ (v3_relat_1(C))  & m1_msafree(C, A, B))  &  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_aofa_l00(D, A) & l2_aofa_l00(D, k4_aofa_l00(A, B, C))) ) )  &  ( (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(D)) &  (v1_funct_1(E) &  (v1_partfun1(E, u1_struct_0(D)) & v1_aofa_l00(E, C)) ) ) )  & l5_aofa_l00(F, A, B, C, D, E)) ) ) ) )  =>  (v1_funct_1(u6_aofa_l00(A, B, C, D, E, F)) &  (v1_funct_2(u6_aofa_l00(A, B, C, D, E, F), k3_card_3(k6_pboole(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))), k1_msafree4(u1_struct_0(D), u3_msualg_1(D, F), u1_aofa_l00(D))) & m1_subset_1(u6_aofa_l00(A, B, C, D, E, F), k1_zfmisc_1(k2_zfmisc_1(k3_card_3(k6_pboole(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))), k1_msafree4(u1_struct_0(D), u3_msualg_1(D, F), u1_aofa_l00(D)))))) ) ) ) ).
fof(dt_k11_aofa_l00, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  &  (v17_aofa_l00(C, B) & l3_msualg_1(C, B)) ) )  => m1_subset_1(k11_aofa_l00(A, B, C), k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))) ) ).
fof(dt_k12_aofa_l00, axiom,  (! [A, B, C, D] :  ( ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  &  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  & m1_subset_1(D, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))) ) )  => m1_subset_1(k12_aofa_l00(A, B, C, D), k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))) ) ).
fof(dt_k13_aofa_l00, axiom,  (! [A, B, C, D, E] :  ( ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  &  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  &  (m1_subset_1(D, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) & m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))) ) ) )  => m1_subset_1(k13_aofa_l00(A, B, C, D, E), k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))) ) ).
fof(dt_k14_aofa_l00, axiom,  (! [A, B, C, D, E] :  ( ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  &  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  &  (m1_subset_1(D, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) & m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))) ) ) )  => m1_subset_1(k14_aofa_l00(A, B, C, D, E), k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))) ) ).
fof(dt_k15_aofa_l00, axiom,  (! [A, B, C, D, E] :  ( ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  &  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  &  (m1_subset_1(D, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) & m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))) ) ) )  => m1_subset_1(k15_aofa_l00(A, B, C, D, E), k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))) ) ).
fof(dt_k16_aofa_l00, axiom,  (! [A, B, C, D, E] :  ( ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v6_aofa_l00(B, A) & l1_aofa_l00(B)) ) )  &  ( (v17_aofa_l00(C, B) & l3_msualg_1(C, B))  &  (m1_subset_1(D, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B))) & m1_subset_1(E, k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))) ) ) )  => m1_subset_1(k16_aofa_l00(A, B, C, D, E), k1_msafree4(u1_struct_0(B), u3_msualg_1(B, C), u1_aofa_l00(B)))) ) ).
fof(dt_k17_aofa_l00, axiom,  (! [A, B, C, D, E, F, G, H, I] :  ( ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  &  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  &  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  &  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  &  ( (v1_relat_1(F) &  ( ~ (v3_relat_1(F))  &  (v4_relat_1(F, u1_struct_0(E)) &  (v1_funct_1(F) &  (v1_partfun1(F, u1_struct_0(E)) & v1_aofa_l00(F, D)) ) ) ) )  &  ( (v15_aofa_l00(G, B, E, C) &  (v17_aofa_l00(G, E) & l5_aofa_l00(G, B, C, D, E, F)) )  &  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), u1_aofa_l00(E))) & m1_subset_1(I, k4_aofa_l00(B, C, D))) ) ) ) ) ) ) )  => m1_subset_1(k17_aofa_l00(A, B, C, D, E, F, G, H, I), k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), u1_aofa_l00(E)))) ) ).
fof(dt_k18_aofa_l00, axiom,  (! [A, B, C, D, E, F, G, H, I] :  ( ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  &  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  &  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  &  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  &  ( (v1_relat_1(F) &  ( ~ (v3_relat_1(F))  &  (v4_relat_1(F, u1_struct_0(E)) &  (v1_funct_1(F) &  (v1_partfun1(F, u1_struct_0(E)) & v1_aofa_l00(F, D)) ) ) ) )  &  ( (v15_aofa_l00(G, B, E, C) &  (v17_aofa_l00(G, E) & l5_aofa_l00(G, B, C, D, E, F)) )  &  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), u1_aofa_l00(E))) & m1_subset_1(I, k4_aofa_l00(B, C, D))) ) ) ) ) ) ) )  => m1_subset_1(k18_aofa_l00(A, B, C, D, E, F, G, H, I), k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), u1_aofa_l00(E)))) ) ).
fof(dt_k19_aofa_l00, axiom,  (! [A, B, C, D, E, F, G, H, I, J] :  ( ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  &  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  &  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  &  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  &  ( (v1_relat_1(F) &  ( ~ (v3_relat_1(F))  &  (v4_relat_1(F, u1_struct_0(E)) &  (v1_funct_1(F) &  (v1_partfun1(F, u1_struct_0(E)) & v1_aofa_l00(F, D)) ) ) ) )  &  ( (v15_aofa_l00(G, B, E, C) &  (v17_aofa_l00(G, E) & l5_aofa_l00(G, B, C, D, E, F)) )  &  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), u1_aofa_l00(E))) &  (m1_subset_1(I, k4_aofa_l00(B, C, D)) & m1_subset_1(J, k4_aofa_l00(B, C, D))) ) ) ) ) ) ) ) )  => m1_subset_1(k19_aofa_l00(A, B, C, D, E, F, G, H, I, J), k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), u1_aofa_l00(E)))) ) ).
fof(dt_k20_aofa_l00, axiom,  (! [A, B, C, D, E, F, G, H, I, J] :  ( ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  &  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  &  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  &  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  &  ( (v1_relat_1(F) &  ( ~ (v3_relat_1(F))  &  (v4_relat_1(F, u1_struct_0(E)) &  (v1_funct_1(F) &  (v1_partfun1(F, u1_struct_0(E)) & v1_aofa_l00(F, D)) ) ) ) )  &  ( (v15_aofa_l00(G, B, E, C) &  (v17_aofa_l00(G, E) & l5_aofa_l00(G, B, C, D, E, F)) )  &  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), u1_aofa_l00(E))) &  (m1_subset_1(I, k4_aofa_l00(B, C, D)) & m1_subset_1(J, k4_aofa_l00(B, C, D))) ) ) ) ) ) ) ) )  => m1_subset_1(k20_aofa_l00(A, B, C, D, E, F, G, H, I, J), k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), u1_aofa_l00(E)))) ) ).
fof(dt_k21_aofa_l00, axiom,  (! [A, B, C, D, E, F, G, H, I, J, K] :  ( ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  &  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  &  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  &  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  &  ( (v1_relat_1(F) &  ( ~ (v3_relat_1(F))  &  (v4_relat_1(F, u1_struct_0(E)) &  (v1_funct_1(F) &  (v1_partfun1(F, u1_struct_0(E)) & v1_aofa_l00(F, D)) ) ) ) )  &  ( (v15_aofa_l00(G, B, E, C) &  (v17_aofa_l00(G, E) & l5_aofa_l00(G, B, C, D, E, F)) )  &  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), u1_aofa_l00(E))) &  (m1_subset_1(I, k4_aofa_l00(B, C, D)) &  (m1_subset_1(J, k4_aofa_l00(B, C, D)) & m1_subset_1(K, k4_aofa_l00(B, C, D))) ) ) ) ) ) ) ) ) )  => m1_subset_1(k21_aofa_l00(A, B, C, D, E, F, G, H, I, J, K), k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), u1_aofa_l00(E)))) ) ).
fof(dt_k22_aofa_l00, axiom,  (! [A, B, C, D, E, F, G, H, I, J, K] :  ( ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  &  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  &  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  &  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  &  ( (v1_relat_1(F) &  ( ~ (v3_relat_1(F))  &  (v4_relat_1(F, u1_struct_0(E)) &  (v1_funct_1(F) &  (v1_partfun1(F, u1_struct_0(E)) & v1_aofa_l00(F, D)) ) ) ) )  &  ( (v15_aofa_l00(G, B, E, C) &  (v17_aofa_l00(G, E) & l5_aofa_l00(G, B, C, D, E, F)) )  &  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), u1_aofa_l00(E))) &  (m1_subset_1(I, k4_aofa_l00(B, C, D)) &  (m1_subset_1(J, k4_aofa_l00(B, C, D)) & m1_subset_1(K, k4_aofa_l00(B, C, D))) ) ) ) ) ) ) ) ) )  => m1_subset_1(k22_aofa_l00(A, B, C, D, E, F, G, H, I, J, K), k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), u1_aofa_l00(E)))) ) ).
fof(dt_k23_aofa_l00, axiom,  (! [A, B, C, D, E, F, G, H, I] :  ( ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  &  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  &  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  &  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  &  ( (v1_relat_1(F) &  ( ~ (v3_relat_1(F))  &  (v4_relat_1(F, u1_struct_0(E)) &  (v1_funct_1(F) &  (v1_partfun1(F, u1_struct_0(E)) & v1_aofa_l00(F, D)) ) ) ) )  &  (v15_aofa_l00(G, B, E, C) &  (v17_aofa_l00(G, E) & l5_aofa_l00(G, B, C, D, E, F)) ) ) ) ) ) ) )  => m1_subset_1(k23_aofa_l00(A, B, C, D, E, F, G, H, I), k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), u1_aofa_l00(E)))) ) ).
fof(abstractness_v22_aofa_l00, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( ( ~ (v3_relat_1(C))  & m1_msafree(C, A, B))  &  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_aofa_l00(D, A) & l2_aofa_l00(D, k4_aofa_l00(A, B, C))) ) )  &  ( (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(D)) &  (v1_funct_1(E) &  (v1_partfun1(E, u1_struct_0(D)) & v1_aofa_l00(E, C)) ) ) )  & l6_aofa_l00(F, A, B, C, D, E)) ) ) ) )  =>  (v22_aofa_l00(F, A, B, C, D, E) => F=g6_aofa_l00(A, B, C, D, E, u3_msualg_1(E, F), u4_msualg_1(E, F), u1_aofa_a00(E, F), u5_aofa_l00(D, E, F), u6_aofa_l00(A, B, C, D, E, F), u1_struct_0(F), u1_unialg_1(F), u3_aofa_a00(C, D, E, F))) ) ) ).
fof(dt_l6_aofa_l00, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( ( ~ (v3_relat_1(C))  & m1_msafree(C, A, B))  &  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_aofa_l00(D, A) & l2_aofa_l00(D, k4_aofa_l00(A, B, C))) ) )  &  (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(D)) &  (v1_funct_1(E) &  (v1_partfun1(E, u1_struct_0(D)) & v1_aofa_l00(E, C)) ) ) ) ) ) ) )  =>  (! [F] :  (l6_aofa_l00(F, A, B, C, D, E) =>  (l5_aofa_l00(F, A, B, C, D, E) & l3_aofa_a00(F, A, B, C)) ) ) ) ) ).
fof(existence_l6_aofa_l00, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( ( ~ (v3_relat_1(C))  & m1_msafree(C, A, B))  &  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_aofa_l00(D, A) & l2_aofa_l00(D, k4_aofa_l00(A, B, C))) ) )  &  (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(D)) &  (v1_funct_1(E) &  (v1_partfun1(E, u1_struct_0(D)) & v1_aofa_l00(E, C)) ) ) ) ) ) ) )  =>  (? [F] : l6_aofa_l00(F, A, B, C, D, E)) ) ) ).
fof(dt_g6_aofa_l00, axiom,  (! [A, B, C, D, E, F, G, H, I, J, K, L, M] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( ( ~ (v3_relat_1(C))  & m1_msafree(C, A, B))  &  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_aofa_l00(D, A) & l2_aofa_l00(D, k4_aofa_l00(A, B, C))) ) )  &  ( (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(D)) &  (v1_funct_1(E) &  (v1_partfun1(E, u1_struct_0(D)) & v1_aofa_l00(E, C)) ) ) )  &  ( (v1_relat_1(F) &  (v4_relat_1(F, u1_struct_0(D)) &  (v1_funct_1(F) & v1_partfun1(F, u1_struct_0(D))) ) )  &  (m2_pboole(G, u4_struct_0(D), k3_msafree4(k3_finseq_2(u1_struct_0(D)), u4_struct_0(D), u1_msualg_1(D), k6_finseq_2(u1_struct_0(D), F)), k3_msafree4(u1_struct_0(D), u4_struct_0(D), u2_msualg_1(D), F)) &  (m2_aofa_a00(H, u1_struct_0(D), u1_struct_0(D), F, F) &  ( (v1_funct_1(I) &  (v1_funct_2(I, k2_zfmisc_1(k3_card_3(F), k3_card_3(k6_pboole(u1_struct_0(D), E, F))), k3_card_3(F)) &  (v10_aofa_l00(I, u1_struct_0(D), F, k3_card_3(k6_pboole(u1_struct_0(D), E, F))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_card_3(F), k3_card_3(k6_pboole(u1_struct_0(D), E, F))), k3_card_3(F))))) ) )  &  ( (v1_funct_1(J) &  (v1_funct_2(J, k3_card_3(k6_pboole(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))), k1_msafree4(u1_struct_0(D), F, u1_aofa_l00(D))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(k3_card_3(k6_pboole(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))), k1_msafree4(u1_struct_0(D), F, u1_aofa_l00(D)))))) )  &  (m1_finseq_1(L, k4_partfun1(k3_finseq_2(K), K)) &  (v1_funct_1(M) &  (v1_funct_2(M, k3_card_3(k6_pboole(u1_struct_0(A), C, u3_msualg_1(A, B))), K) & m1_subset_1(M, k1_zfmisc_1(k2_zfmisc_1(k3_card_3(k6_pboole(u1_struct_0(A), C, u3_msualg_1(A, B))), K)))) ) ) ) ) ) ) ) ) ) ) ) )  =>  (v22_aofa_l00(g6_aofa_l00(A, B, C, D, E, F, G, H, I, J, K, L, M), A, B, C, D, E) & l6_aofa_l00(g6_aofa_l00(A, B, C, D, E, F, G, H, I, J, K, L, M), A, B, C, D, E)) ) ) ).
fof(free_g6_aofa_l00, axiom,  (! [A, B, C, D, E, F, G, H, I, J, K, L, M] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) ) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( ( ~ (v3_relat_1(C))  & m1_msafree(C, A, B))  &  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_aofa_l00(D, A) & l2_aofa_l00(D, k4_aofa_l00(A, B, C))) ) )  &  ( (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(D)) &  (v1_funct_1(E) &  (v1_partfun1(E, u1_struct_0(D)) & v1_aofa_l00(E, C)) ) ) )  &  ( (v1_relat_1(F) &  (v4_relat_1(F, u1_struct_0(D)) &  (v1_funct_1(F) & v1_partfun1(F, u1_struct_0(D))) ) )  &  (m2_pboole(G, u4_struct_0(D), k3_msafree4(k3_finseq_2(u1_struct_0(D)), u4_struct_0(D), u1_msualg_1(D), k6_finseq_2(u1_struct_0(D), F)), k3_msafree4(u1_struct_0(D), u4_struct_0(D), u2_msualg_1(D), F)) &  (m2_aofa_a00(H, u1_struct_0(D), u1_struct_0(D), F, F) &  ( (v1_funct_1(I) &  (v1_funct_2(I, k2_zfmisc_1(k3_card_3(F), k3_card_3(k6_pboole(u1_struct_0(D), E, F))), k3_card_3(F)) &  (v10_aofa_l00(I, u1_struct_0(D), F, k3_card_3(k6_pboole(u1_struct_0(D), E, F))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_card_3(F), k3_card_3(k6_pboole(u1_struct_0(D), E, F))), k3_card_3(F))))) ) )  &  ( (v1_funct_1(J) &  (v1_funct_2(J, k3_card_3(k6_pboole(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))), k1_msafree4(u1_struct_0(D), F, u1_aofa_l00(D))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(k3_card_3(k6_pboole(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))), k1_msafree4(u1_struct_0(D), F, u1_aofa_l00(D)))))) )  &  (m1_finseq_1(L, k4_partfun1(k3_finseq_2(K), K)) &  (v1_funct_1(M) &  (v1_funct_2(M, k3_card_3(k6_pboole(u1_struct_0(A), C, u3_msualg_1(A, B))), K) & m1_subset_1(M, k1_zfmisc_1(k2_zfmisc_1(k3_card_3(k6_pboole(u1_struct_0(A), C, u3_msualg_1(A, B))), K)))) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [N, O, P, Q, R, S, T, U, V, W, X, Y, Z] :  (g6_aofa_l00(A, B, C, D, E, F, G, H, I, J, K, L, M)=g6_aofa_l00(N, O, P, Q, R, S, T, U, V, W, X, Y, Z) =>  (A=N &  (B=O &  (C=P &  (D=Q &  (E=R &  (F=S &  (G=T &  (H=U &  (I=V &  (J=W &  (K=X &  (L=Y & M=Z) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k24_aofa_l00, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  &  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  &  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  &  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) &  (v8_aofa_l00(E, A, k4_aofa_l00(B, C, D)) &  (v14_aofa_l00(E, B, k4_aofa_l00(B, C, D), A) & l3_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(F))  &  (v2_unialg_1(F) &  (v3_unialg_1(F) &  (v4_unialg_1(F) &  (v4_msualg_1(F, E) &  (v3_aofa_000(F) &  (v4_aofa_000(F) &  (v5_aofa_000(F) &  (v6_aofa_000(F) &  ( ~ (v10_aofa_000(F))  &  (v11_aofa_000(F) &  (v12_aofa_000(F) &  (v2_aofa_a00(F, E) &  (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) &  (v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v21_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v23_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & l6_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(G, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) & m1_subset_1(H, u1_struct_0(F))) ) ) ) ) ) )  => m1_subset_1(k24_aofa_l00(A, B, C, D, E, F, G, H), k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E)))) ) ).
fof(dt_k25_aofa_l00, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  &  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  &  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  &  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) &  (v8_aofa_l00(E, A, k4_aofa_l00(B, C, D)) &  (v14_aofa_l00(E, B, k4_aofa_l00(B, C, D), A) & l3_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(F))  &  (v2_unialg_1(F) &  (v3_unialg_1(F) &  (v4_unialg_1(F) &  (v4_msualg_1(F, E) &  (v3_aofa_000(F) &  (v4_aofa_000(F) &  (v5_aofa_000(F) &  (v6_aofa_000(F) &  ( ~ (v10_aofa_000(F))  &  (v11_aofa_000(F) &  (v12_aofa_000(F) &  (v2_aofa_a00(F, E) &  (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) &  (v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v21_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v23_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & l6_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(G, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) & m1_subset_1(H, u1_struct_0(F))) ) ) ) ) ) )  => m1_subset_1(k25_aofa_l00(A, B, C, D, E, F, G, H), k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E)))) ) ).
fof(dt_k26_aofa_l00, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  &  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  &  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  &  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) &  (v8_aofa_l00(E, A, k4_aofa_l00(B, C, D)) &  (v14_aofa_l00(E, B, k4_aofa_l00(B, C, D), A) & l3_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(F))  &  (v2_unialg_1(F) &  (v3_unialg_1(F) &  (v4_unialg_1(F) &  (v4_msualg_1(F, E) &  (v3_aofa_000(F) &  (v4_aofa_000(F) &  (v5_aofa_000(F) &  (v6_aofa_000(F) &  ( ~ (v10_aofa_000(F))  &  (v11_aofa_000(F) &  (v12_aofa_000(F) &  (v2_aofa_a00(F, E) &  (v12_aofa_l00(F, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v15_aofa_l00(F, B, E, C) &  (v17_aofa_l00(F, E) &  (v19_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v21_aofa_l00(F, A, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) &  (v23_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0)) & l6_aofa_l00(F, B, C, D, E, k2_aofa_l00(D, u1_struct_0(E), k1_xboole_0))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(G, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E))) & m1_subset_1(H, u1_struct_0(F))) ) ) ) ) ) )  => m1_subset_1(k26_aofa_l00(A, B, C, D, E, F, G, H), k1_msafree4(u1_struct_0(E), u3_msualg_1(E, F), u1_aofa_l00(E)))) ) ).
fof(d37_aofa_l00, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  ( ~ (v3_relat_1(F))  &  (v4_relat_1(F, u1_struct_0(E)) &  (v1_funct_1(F) &  (v1_partfun1(F, u1_struct_0(E)) & v1_aofa_l00(F, D)) ) ) ) )  =>  (! [G] :  ( (v4_msualg_1(G, E) &  (v15_aofa_l00(G, B, E, C) &  (v17_aofa_l00(G, E) & l5_aofa_l00(G, B, C, D, E, F)) ) )  =>  (v21_aofa_l00(G, A, B, C, D, E, F) <=>  (! [H] :  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), u1_aofa_l00(E))) =>  (! [I] :  (m1_subset_1(I, k4_aofa_l00(B, C, D)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(E)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(E)) =>  (! [L] :  (m1_msafree4(L, u1_struct_0(E), u3_msualg_1(E, G), k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), J)) =>  (r2_tarski(I, k1_funct_1(D, K)) =>  (! [M] :  (m1_subset_1(M, k3_card_3(F)) =>  (r2_tarski(M, k1_msafree4(u1_struct_0(E), F, J)) =>  ( (I=M =>  (k7_aofa_l00(E, F, G, u1_aofa_l00(E), k17_aofa_l00(A, B, C, D, E, F, G, H, I), M, L)=k17_aofa_l00(A, B, C, D, E, F, G, H, I) & k7_aofa_l00(E, F, G, u1_aofa_l00(E), k18_aofa_l00(A, B, C, D, E, F, G, H, I), M, L)=k18_aofa_l00(A, B, C, D, E, F, G, H, I)) )  &  ( ~ ( ( ~ (I=M)  &  (r2_tarski(I, k1_msafree4(u1_struct_0(E), k10_aofa_a00(E, G, J, L), K)) &  (! [N] :  (m1_subset_1(N, k4_aofa_l00(B, C, D)) =>  (! [O] :  (m1_subset_1(O, k3_card_3(F)) =>  (! [P] :  (m1_subset_1(P, k3_card_3(F)) =>  ~ ( (I=O &  (P=N &  (N=o_11_0_aofa_l00(A, B, C, D, E, F, G, H, J, K, L) &  (k7_aofa_l00(E, F, G, u1_aofa_l00(E), k17_aofa_l00(A, B, C, D, E, F, G, H, I), M, L)=k17_aofa_l00(A, B, C, D, E, F, G, k7_aofa_l00(E, F, G, u1_aofa_l00(E), k6_aofa_l00(E, F, G, u1_aofa_l00(E), H, O, P), M, L), N) & k7_aofa_l00(E, F, G, u1_aofa_l00(E), k18_aofa_l00(A, B, C, D, E, F, G, H, I), M, L)=k18_aofa_l00(A, B, C, D, E, F, G, k7_aofa_l00(E, F, G, u1_aofa_l00(E), k6_aofa_l00(E, F, G, u1_aofa_l00(E), H, O, P), M, L), N)) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ~ ( ( ~ (I=M)  &  ( ~ (r2_hidden(I, k1_msafree4(u1_struct_0(E), k10_aofa_a00(E, G, J, L), J)))  &  ~ ( (k7_aofa_l00(E, F, G, u1_aofa_l00(E), k17_aofa_l00(A, B, C, D, E, F, G, H, I), M, L)=k17_aofa_l00(A, B, C, D, E, F, G, k7_aofa_l00(E, F, G, u1_aofa_l00(E), H, M, L), I) & k7_aofa_l00(E, F, G, u1_aofa_l00(E), k18_aofa_l00(A, B, C, D, E, F, G, H, I), M, L)=k18_aofa_l00(A, B, C, D, E, F, G, k7_aofa_l00(E, F, G, u1_aofa_l00(E), H, M, L), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_o_11_0_aofa_l00, axiom,  (! [A, B, C, D, E, F, G, H, I, J, K] :  ( ( (v7_ordinal1(A) &  ~ (v1_xboole_0(A)) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) ) )  &  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  &  ( ( ~ (v3_relat_1(D))  & m1_msafree(D, B, C))  &  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_aofa_l00(E, B) &  (v6_aofa_l00(E, A) &  (v7_aofa_l00(E, k4_aofa_l00(B, C, D)) & l2_aofa_l00(E, k4_aofa_l00(B, C, D))) ) ) ) )  &  ( (v1_relat_1(F) &  ( ~ (v3_relat_1(F))  &  (v4_relat_1(F, u1_struct_0(E)) &  (v1_funct_1(F) &  (v1_partfun1(F, u1_struct_0(E)) & v1_aofa_l00(F, D)) ) ) ) )  &  ( (v4_msualg_1(G, E) &  (v15_aofa_l00(G, B, E, C) &  (v17_aofa_l00(G, E) & l5_aofa_l00(G, B, C, D, E, F)) ) )  &  (m1_subset_1(H, k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), u1_aofa_l00(E))) &  (m1_subset_1(I, u1_struct_0(E)) &  (m1_subset_1(J, u1_struct_0(E)) & m1_msafree4(K, u1_struct_0(E), u3_msualg_1(E, G), k1_msafree4(u1_struct_0(E), u3_msualg_1(E, G), I))) ) ) ) ) ) ) ) ) )  => m1_subset_1(o_11_0_aofa_l00(A, B, C, D, E, F, G, H, I, J, K), k7_subset_1(k1_funct_1(D, J), k6_subset_1(k1_funct_1(D, J), k1_msafree4(u1_struct_0(E), k10_aofa_a00(E, G, I, K), J)), k1_msafree4(u1_struct_0(E), k10_aofa_a00(E, G, u1_aofa_l00(E), H), J)))) ) ).
fof(t1_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k2_xcmplx_0(A, k5_numbers)=A) ) ).
fof(t2_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(A, k5_numbers)=k5_numbers) ) ).
fof(t3_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(1, A)=A) ) ).
fof(t4_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k6_xcmplx_0(A, k5_numbers)=A) ) ).
fof(t5_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k7_xcmplx_0(k5_numbers, A)=k5_numbers) ) ).
fof(t6_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k7_xcmplx_0(A, 1)=A) ) ).
fof(rc1_armstrng, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_relat_2(A) &  (v4_relat_2(A) & v8_relat_2(A)) ) ) ) ) ).
fof(rc2_armstrng, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) &  (v2_finsub_1(B) & v1_armstrng(B, A)) ) ) ) ).
fof(fc1_armstrng, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_pre_poly(A)) )  => v1_finseq_1(k1_funct_1(A, B))) ) ).
fof(rc3_armstrng, axiom,  (? [A] :  (l1_armstrng(A) & v2_armstrng(A)) ) ).
fof(rc4_armstrng, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k9_setfam_1(A)) &  (v5_relat_1(B, k9_setfam_1(A)) & v1_finset_1(B)) ) ) ) ) ) ) ).
fof(fc2_armstrng, axiom,  (! [A] :  ~ (v1_xboole_0(k4_armstrng(A))) ) ).
fof(fc3_armstrng, axiom,  (! [A] :  ~ (v1_xboole_0(k7_armstrng(A))) ) ).
fof(fc4_armstrng, axiom,  (! [A] :  (v1_partfun1(k7_armstrng(A), k4_armstrng(A)) &  (v1_relat_2(k7_armstrng(A)) &  (v4_relat_2(k7_armstrng(A)) & v8_relat_2(k7_armstrng(A))) ) ) ) ).
fof(rc5_armstrng, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k9_setfam_1(A)) &  (v5_relat_1(B, k9_setfam_1(A)) &  (v8_relat_2(B) &  (v3_armstrng(B, A) &  (v4_armstrng(B, A) & v5_armstrng(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(rc6_armstrng, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k9_setfam_1(A)) &  (v5_relat_1(B, k9_setfam_1(A)) & v6_armstrng(B, A)) ) ) ) ) ) ).
fof(rc7_armstrng, axiom,  (! [A] :  (v1_finset_1(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k9_setfam_1(A)) &  (v5_relat_1(B, k9_setfam_1(A)) &  (v1_finset_1(B) &  (v4_card_3(B) & v6_armstrng(B, A)) ) ) ) ) ) ) ) ) ).
fof(cc1_armstrng, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) => v1_finset_1(B)) ) ) ) ).
fof(cc2_armstrng, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  (v6_armstrng(B, A) =>  (v8_relat_2(B) &  (v3_armstrng(B, A) &  (v4_armstrng(B, A) & v5_armstrng(B, A)) ) ) ) ) ) ) ).
fof(cc3_armstrng, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  ( (v8_relat_2(B) &  (v3_armstrng(B, A) &  (v4_armstrng(B, A) & v5_armstrng(B, A)) ) )  => v6_armstrng(B, A)) ) ) ) ).
fof(cc4_armstrng, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  ( (v3_armstrng(B, A) & v4_armstrng(B, A))  => v7_armstrng(B, A)) ) ) ) ).
fof(cc5_armstrng, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  ( (v8_relat_2(B) & v7_armstrng(B, A))  =>  (v3_armstrng(B, A) & v4_armstrng(B, A)) ) ) ) ) ).
fof(rc8_armstrng, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k9_setfam_1(A)) &  (v5_relat_1(B, k9_setfam_1(A)) &  (v8_relat_2(B) &  (v5_armstrng(B, A) & v7_armstrng(B, A)) ) ) ) ) ) ) ) ) ).
fof(cc6_armstrng, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  (v3_armstrng(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(fc5_armstrng, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  (v6_armstrng(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A))))) )  =>  ~ (v1_xboole_0(k8_armstrng(A, B))) ) ) ).
fof(fc6_armstrng, axiom,  (! [A, B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))))  => v1_finset_1(k9_armstrng(A, B))) ) ).
fof(t1_armstrng, axiom,  (! [A] :  (v2_finsub_1(A) =>  (! [B] :  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B))))  =>  ( (r2_tarski(B, A) & r1_tarski(C, A))  => r2_tarski(k8_setfam_1(B, C), A)) ) ) ) ) ) ).
fof(t2_armstrng, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_2(A) & v8_relat_2(A)) ) )  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_relat_1(A))))  =>  ~ ( ( ~ (B=k1_xboole_0)  &  (! [C] :  (m1_subset_1(C, B) =>  ~ (r2_waybel_4(B, C, A)) ) ) ) ) ) ) ) ) ).
fof(d1_armstrng, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (C=k1_armstrng(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=> r2_waybel_4(A, D, B)) ) ) ) ) ) ) ) ).
fof(d2_armstrng, axiom,  (! [A] :  (! [B] :  (r1_armstrng(A, B) <=>  (r2_tarski(A, B) &  (! [C] :  (! [D] :  ~ ( (r2_tarski(C, B) &  (r2_tarski(D, B) &  (A=k3_xboole_0(C, D) &  ( ~ (A=C)  &  ~ (A=D) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_armstrng, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (B=k2_armstrng(A) <=>  (! [C] :  (r2_tarski(C, B) <=> r1_armstrng(C, A)) ) ) ) ) ) ) ).
fof(t3_armstrng, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (? [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(A)))  &  (B=k1_setfam_1(C) &  (! [D] :  (r2_tarski(D, C) => r1_armstrng(D, A)) ) ) ) ) ) ) ) ) ).
fof(d4_armstrng, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (v1_armstrng(B, A) <=> r2_tarski(A, B)) ) ) ) ).
fof(t4_armstrng, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  (v2_finsub_1(B) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(A), B) =>  (r1_armstrng(C, B) =>  (C=A |  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  ( (r1_tarski(D, B) & C=k8_setfam_1(A, D))  => r2_tarski(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_armstrng, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k5_margrel1))  =>  (! [D] :  ( (v3_card_1(D, A) & m2_finseq_1(D, k5_margrel1))  =>  (D=k3_armstrng(A, B, C) <=>  (! [E] :  (r2_tarski(E, k2_finseq_1(A)) => k1_funct_1(D, E)=k9_margrel1(k7_partfun1(k5_margrel1, B, E), k7_partfun1(k5_margrel1, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_armstrng, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m2_finseq_2(B, k5_margrel1, k4_finseq_2(A, k5_margrel1)) => k3_armstrng(A, k1_binari_3(A, k5_numbers), B)=k1_binari_3(A, k5_numbers)) ) ) ) ).
fof(t6_armstrng, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  => k3_armstrng(A, k3_binarith(A, k1_binari_3(A, k5_numbers)), B)=B) ) ) ) ).
fof(t7_armstrng, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ( ~ (r1_xxreal_0(A, B))  =>  (k1_funct_1(k1_binari_3(A, k5_series_1(2, B)), k1_nat_1(B, 1))=1 &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r2_tarski(C, k2_finseq_1(A)) =>  (C=k1_nat_1(B, 1) | k1_funct_1(k1_binari_3(A, k5_series_1(2, B)), C)=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(d6_armstrng, axiom,  (! [A] : k4_armstrng(A)=k8_mcart_1(k1_zfmisc_1(A), k1_zfmisc_1(A), k9_setfam_1(A), k9_setfam_1(A))) ).
fof(t8_armstrng, axiom,  (! [A] :  (! [B] :  (r2_tarski(B, k4_armstrng(A)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) &  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) & B=k4_tarski(C, D)) ) ) ) ) ) ) ).
fof(t9_armstrng, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  ~ ( (r2_tarski(B, C) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  ~ (B=k4_tarski(D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_armstrng, axiom,  (! [A] :  (l1_armstrng(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_armstrng(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_armstrng(A))) =>  (r2_armstrng(A, B, C) <=>  (! [D] :  (m1_subset_1(D, u3_armstrng(A)) =>  (! [E] :  (m1_subset_1(E, u3_armstrng(A)) =>  (k5_relat_1(D, B)=k5_relat_1(E, B) => k5_relat_1(D, C)=k5_relat_1(E, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_armstrng, axiom,  (! [A] :  (l1_armstrng(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_armstrng(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_armstrng(A))) =>  (r2_hidden(k4_tarski(B, C), k5_armstrng(A)) <=> r2_armstrng(A, B, C)) ) ) ) ) ) ) ).
fof(d9_armstrng, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k4_armstrng(A)) =>  (! [C] :  (m1_subset_1(C, k4_armstrng(A)) =>  (r3_armstrng(A, B, C) <=>  (r1_tarski(k1_xfamily(B), k1_xfamily(C)) & r1_tarski(k2_xfamily(C), k2_xfamily(B))) ) ) ) ) ) ) ).
fof(t11_armstrng, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k4_armstrng(A)) =>  (! [C] :  (m1_subset_1(C, k4_armstrng(A)) =>  ( (r3_armstrng(A, C, B) & r3_armstrng(A, B, C))  => B=C) ) ) ) ) ) ).
fof(t12_armstrng, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k4_armstrng(A)) =>  (! [C] :  (m1_subset_1(C, k4_armstrng(A)) =>  (! [D] :  (m1_subset_1(D, k4_armstrng(A)) =>  ( (r3_armstrng(A, C, B) & r3_armstrng(A, D, C))  => r3_armstrng(A, D, B)) ) ) ) ) ) ) ) ).
fof(t13_armstrng, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  (r3_armstrng(A, k6_armstrng(A, B, C), k6_armstrng(A, D, E)) <=>  (r1_tarski(B, D) & r1_tarski(E, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_armstrng, axiom,  (! [A] :  (! [B] :  (r2_tarski(B, k7_armstrng(A)) <=>  (? [C] :  (m1_subset_1(C, k4_armstrng(A)) &  (? [D] :  (m1_subset_1(D, k4_armstrng(A)) &  (B=k4_tarski(C, D) & r3_armstrng(A, D, C)) ) ) ) ) ) ) ) ).
fof(t15_armstrng, axiom,  (! [A] : k1_relset_1(k4_armstrng(A), k7_armstrng(A))=k8_mcart_1(k1_zfmisc_1(A), k1_zfmisc_1(A), k9_setfam_1(A), k9_setfam_1(A))) ).
fof(t16_armstrng, axiom,  (! [A] : k2_relset_1(k4_armstrng(A), k7_armstrng(A))=k8_mcart_1(k1_zfmisc_1(A), k1_zfmisc_1(A), k9_setfam_1(A), k9_setfam_1(A))) ).
fof(t17_armstrng, axiom,  (! [A] : k1_relat_1(k7_armstrng(A))=k8_mcart_1(k1_zfmisc_1(A), k1_zfmisc_1(A), k9_setfam_1(A), k9_setfam_1(A))) ).
fof(d11_armstrng, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  (v3_armstrng(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => r2_tarski(k6_armstrng(A, C, C), B)) ) ) ) ) ) ).
fof(t18_armstrng, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  (v8_relat_2(B) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  ( (r2_tarski(k6_armstrng(A, C, D), B) & r2_tarski(k6_armstrng(A, D, E), B))  => r2_tarski(k6_armstrng(A, C, E), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_armstrng, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  (v4_armstrng(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(A)) =>  ( (r2_tarski(k6_armstrng(A, C, D), B) & r3_armstrng(A, k6_armstrng(A, C, D), k6_armstrng(A, E, F)))  => r2_tarski(k6_armstrng(A, E, F), B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_armstrng, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  (v5_armstrng(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(A)) =>  ( (r2_tarski(k6_armstrng(A, C, D), B) & r2_tarski(k6_armstrng(A, E, F), B))  => r2_tarski(k6_armstrng(A, k4_subset_1(A, C, E), k4_subset_1(A, D, F)), B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_armstrng, axiom,  (! [A] :  (v3_armstrng(k4_armstrng(A), A) &  (v8_relat_2(k4_armstrng(A)) &  (v4_armstrng(k4_armstrng(A), A) & v5_armstrng(k4_armstrng(A), A)) ) ) ) ).
fof(d14_armstrng, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  (v6_armstrng(B, A) <=>  (v3_armstrng(B, A) &  (v8_relat_2(B) &  (v4_armstrng(B, A) & v5_armstrng(B, A)) ) ) ) ) ) ) ).
fof(t20_armstrng, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) => v1_finset_1(B)) ) ) ) ).
fof(d15_armstrng, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  (v7_armstrng(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (r1_tarski(D, C) => r2_tarski(k6_armstrng(A, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t21_armstrng, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  ( (v7_armstrng(B, A) & v8_relat_2(B))  =>  (v3_armstrng(B, A) & v4_armstrng(B, A)) ) ) ) ) ).
fof(t22_armstrng, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  ( (v3_armstrng(B, A) & v4_armstrng(B, A))  => v7_armstrng(B, A)) ) ) ) ).
fof(t23_armstrng, axiom,  (! [A] :  (l1_armstrng(A) => v6_armstrng(k5_armstrng(A), u1_armstrng(A))) ) ).
fof(d16_armstrng, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) => k8_armstrng(A, B)=k1_armstrng(B, k7_armstrng(A))) ) ) ).
fof(t25_armstrng, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) => r1_relset_1(k9_setfam_1(A), k9_setfam_1(A), k8_armstrng(A, B), B)) ) ) ).
fof(d17_armstrng, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  (! [C] :  (! [D] :  (r4_armstrng(A, B, C, D) <=> r2_hidden(k4_tarski(C, D), k8_armstrng(A, B))) ) ) ) ) ) ).
fof(t26_armstrng, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k4_armstrng(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  ~ ( (r2_tarski(B, C) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  ~ ( (r2_tarski(k6_armstrng(A, D, E), k8_armstrng(A, C)) & r3_armstrng(A, k6_armstrng(A, D, E), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_armstrng, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (r4_armstrng(A, B, C, D) <=>  (r2_tarski(k6_armstrng(A, C, D), B) &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(A)) =>  ~ ( (r2_tarski(k6_armstrng(A, E, F), B) &  ( ~ ( (C=E & D=F) )  & r3_armstrng(A, k6_armstrng(A, E, F), k6_armstrng(A, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_armstrng, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  (v8_armstrng(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) &  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) &  (r3_armstrng(A, k6_armstrng(A, D, E), k6_armstrng(A, C, C)) & r2_tarski(k6_armstrng(A, D, E), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_armstrng, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  (v9_armstrng(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(A)) =>  ( (r2_tarski(k6_armstrng(A, C, D), B) &  (r2_tarski(k6_armstrng(A, E, F), B) & r3_armstrng(A, k6_armstrng(A, C, D), k6_armstrng(A, E, F))) )  =>  (C=E & D=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d20_armstrng, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  (v10_armstrng(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(A)) =>  ( (r2_tarski(k6_armstrng(A, C, D), B) &  (r2_tarski(k6_armstrng(A, E, F), B) & r1_tarski(E, D)) )  => r1_tarski(F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_armstrng, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v6_armstrng(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))))  =>  (v8_armstrng(k8_armstrng(A, B), A) &  (v9_armstrng(k8_armstrng(A, B), A) & v10_armstrng(k8_armstrng(A, B), A)) ) ) ) ) ) ).
fof(t31_armstrng, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  (r2_tarski(B, k9_armstrng(A, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) &  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) &  (B=D & r4_armstrng(A, C, E, D)) ) ) ) ) ) ) ) ) ) ).
fof(t32_armstrng, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v6_armstrng(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))))  =>  (v1_armstrng(k9_armstrng(A, B), A) & v2_finsub_1(k9_armstrng(A, B))) ) ) ) ) ).
fof(t33_armstrng, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) => v6_armstrng(k10_armstrng(A, B), A)) ) ) ) ) ).
fof(t34_armstrng, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) => r1_tarski(B, k9_armstrng(A, k10_armstrng(A, B)))) ) ) ) ).
fof(t35_armstrng, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  ( (v1_armstrng(B, A) & v2_finsub_1(B))  =>  (B=k9_armstrng(A, k10_armstrng(A, B)) &  (! [C] :  ( (v6_armstrng(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))))  =>  (B=k9_armstrng(A, C) => r2_relset_1(k9_setfam_1(A), k9_setfam_1(A), C, k10_armstrng(A, B))) ) ) ) ) ) ) ) ) ).
fof(t36_armstrng, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  (v1_armstrng(k11_armstrng(A, B), A) & v2_finsub_1(k11_armstrng(A, B))) ) ) ) ) ).
fof(t37_armstrng, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  (r1_relset_1(k9_setfam_1(A), k9_setfam_1(A), B, k10_armstrng(A, k11_armstrng(A, B))) &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  ( (r1_relset_1(k9_setfam_1(A), k9_setfam_1(A), B, C) & v6_armstrng(C, A))  => r1_relset_1(k9_setfam_1(A), k9_setfam_1(A), k10_armstrng(A, k11_armstrng(A, B)), C)) ) ) ) ) ) ) ) ).
fof(d24_armstrng, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  (! [C] :  ( (v6_armstrng(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))))  =>  (C=k12_armstrng(A, B) <=>  (r1_relset_1(k9_setfam_1(A), k9_setfam_1(A), B, C) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  ( (r1_relset_1(k9_setfam_1(A), k9_setfam_1(A), B, D) & v6_armstrng(D, A))  => r1_relset_1(k9_setfam_1(A), k9_setfam_1(A), C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_armstrng, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) => r2_relset_1(k9_setfam_1(A), k9_setfam_1(A), k12_armstrng(A, B), k10_armstrng(A, k11_armstrng(A, B)))) ) ) ) ).
fof(t42_armstrng, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) => r5_armstrng(A, B, k9_armstrng(A, k10_armstrng(A, B)))) ) ) ) ).
fof(t43_armstrng, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v6_armstrng(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))))  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))) &  (r5_armstrng(A, C, k9_armstrng(A, B)) & r2_relset_1(k9_setfam_1(A), k9_setfam_1(A), B, k10_armstrng(A, C))) ) ) ) ) ) ) ).
fof(t44_armstrng, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) )  =>  ( (v1_armstrng(B, A) & v2_finsub_1(B))  => r5_armstrng(A, k2_armstrng(B), B)) ) ) ) ).
fof(t45_armstrng, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) )  =>  ( (v1_armstrng(C, A) &  (v2_finsub_1(C) & r5_armstrng(A, B, C)) )  => r1_tarski(k2_armstrng(C), k2_xboole_0(B, k1_tarski(A)))) ) ) ) ) ).
fof(t46_armstrng, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v6_armstrng(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))))  =>  (? [C] :  (l1_armstrng(C) &  (u1_armstrng(C)=A &  ( (! [D] :  (m1_subset_1(D, A) => k1_funct_1(u2_armstrng(C), D)=k4_numbers) )  & B=k5_armstrng(C)) ) ) ) ) ) ) ) ).
fof(d27_armstrng, axiom,  (! [A] :  (v11_armstrng(A) <=>  (! [B] :  (! [C] :  ( (r2_tarski(B, A) &  (r2_tarski(C, A) & r1_tarski(B, C)) )  => B=C) ) ) ) ) ).
fof(t48_armstrng, axiom,  (! [A] :  (l1_armstrng(A) =>  ( ~ (v1_xboole_0(k13_armstrng(u1_armstrng(A), k5_armstrng(A))))  & v11_armstrng(k13_armstrng(u1_armstrng(A), k5_armstrng(A)))) ) ) ).
fof(t49_armstrng, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  ~ ( ( ~ (v1_xboole_0(B))  &  (v11_armstrng(B) &  (! [C] :  ( (v6_armstrng(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))))  =>  ~ (B=k13_armstrng(A, C)) ) ) ) ) ) ) ) ) ) ).
fof(t51_armstrng, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  ~ ( ( ~ (v1_xboole_0(B))  &  (v11_armstrng(B) &  (! [C] :  (l1_armstrng(C) =>  ~ ( (u1_armstrng(C)=A & B=k13_armstrng(u1_armstrng(C), k5_armstrng(C))) ) ) ) ) ) ) ) ) ) ) ).
fof(d28_armstrng, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  (v12_armstrng(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  ( (r2_tarski(k6_armstrng(A, C, D), B) & r2_tarski(k6_armstrng(A, C, E), B))  => r2_tarski(k6_armstrng(A, C, k4_subset_1(A, D, E)), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(d29_armstrng, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  (v13_armstrng(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(A)) =>  ( (r2_tarski(k6_armstrng(A, C, D), B) & r2_tarski(k6_armstrng(A, k4_subset_1(A, D, E), F), B))  => r2_tarski(k6_armstrng(A, k4_subset_1(A, C, E), F), B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d30_armstrng, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  (v14_armstrng(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  (r2_tarski(k6_armstrng(A, C, D), B) => r2_tarski(k6_armstrng(A, k4_subset_1(A, C, E), D), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_armstrng, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  ( ( (v3_armstrng(B, A) &  (v8_relat_2(B) &  (v4_armstrng(B, A) & v5_armstrng(B, A)) ) )  =>  (v8_relat_2(B) &  (v7_armstrng(B, A) & v5_armstrng(B, A)) ) )  &  ( (v8_relat_2(B) &  (v7_armstrng(B, A) & v5_armstrng(B, A)) )  =>  (v3_armstrng(B, A) &  (v8_relat_2(B) &  (v4_armstrng(B, A) & v5_armstrng(B, A)) ) ) ) ) ) ) ) ).
fof(t53_armstrng, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  ( ( (v3_armstrng(B, A) &  (v8_relat_2(B) &  (v4_armstrng(B, A) & v5_armstrng(B, A)) ) )  =>  (v8_relat_2(B) &  (v7_armstrng(B, A) & v12_armstrng(B, A)) ) )  &  ( (v8_relat_2(B) &  (v7_armstrng(B, A) & v12_armstrng(B, A)) )  =>  (v3_armstrng(B, A) &  (v8_relat_2(B) &  (v4_armstrng(B, A) & v5_armstrng(B, A)) ) ) ) ) ) ) ) ).
fof(t54_armstrng, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  ( ( (v3_armstrng(B, A) &  (v8_relat_2(B) &  (v4_armstrng(B, A) & v5_armstrng(B, A)) ) )  =>  (v3_armstrng(B, A) &  (v13_armstrng(B, A) & v14_armstrng(B, A)) ) )  &  ( (v3_armstrng(B, A) &  (v13_armstrng(B, A) & v14_armstrng(B, A)) )  =>  (v3_armstrng(B, A) &  (v8_relat_2(B) &  (v4_armstrng(B, A) & v5_armstrng(B, A)) ) ) ) ) ) ) ) ).
fof(t55_armstrng, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  (r2_tarski(B, k14_armstrng(A, C)) =>  (m1_subset_1(B, k1_zfmisc_1(A)) &  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) &  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) &  (r2_tarski(k6_armstrng(A, D, E), C) &  (r1_tarski(D, B) &  ~ (r1_tarski(E, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_armstrng, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  ( (? [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) &  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) &  (r2_tarski(k6_armstrng(A, D, E), C) &  (r1_tarski(D, B) &  ~ (r1_tarski(E, B)) ) ) ) ) ) )  => r2_tarski(B, k14_armstrng(A, C))) ) ) ) ) ) ).
fof(t57_armstrng, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  ( (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (r2_tarski(k6_armstrng(A, C, D), k12_armstrng(A, B)) <=>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  (r1_tarski(C, E) =>  (r1_tarski(D, E) | r2_tarski(E, k14_armstrng(A, B))) ) ) ) ) ) ) ) )  & k9_armstrng(A, k12_armstrng(A, B))=k7_subset_1(k1_zfmisc_1(A), k9_setfam_1(A), k14_armstrng(A, B))) ) ) ) ) ).
fof(t58_armstrng, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  (k14_armstrng(A, B)=k14_armstrng(A, C) => r2_relset_1(k9_setfam_1(A), k9_setfam_1(A), k12_armstrng(A, B), k12_armstrng(A, C))) ) ) ) ) ) ) ).
fof(t59_armstrng, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) => k14_armstrng(A, B)=k14_armstrng(A, k12_armstrng(A, B))) ) ) ) ).
fof(d32_armstrng, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  (r6_armstrng(A, B, C) <=>  ( (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (r1_tarski(B, D) =>  (D=A | r2_tarski(D, k14_armstrng(A, C))) ) ) )  &  (! [D] :  ~ ( (r2_xboole_0(D, B) &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  ~ ( (r1_tarski(D, E) &  ( ~ (E=A)  &  ~ (r2_tarski(E, k14_armstrng(A, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_armstrng, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (r2_tarski(C, k13_armstrng(A, k12_armstrng(A, B))) <=> r6_armstrng(A, C, B)) ) ) ) ) ) ) ).
fof(s1_armstrng, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(f1_s1_armstrng)) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(f1_s1_armstrng)) =>  ( ( (! [C] :  (r2_tarski(C, A) <=> p1_s1_armstrng(C)) )  &  (! [C] :  (r2_tarski(C, B) <=> p1_s1_armstrng(C)) ) )  => A=B) ) ) ) ) ).
fof(s2_armstrng, axiom,  ( ( (! [A] :  (r1_armstrng(A, f1_s2_armstrng) => p1_s2_armstrng(A)) )  &  (! [A] :  (! [B] :  ( (r2_tarski(A, f1_s2_armstrng) &  (r2_tarski(B, f1_s2_armstrng) &  (p1_s2_armstrng(A) & p1_s2_armstrng(B)) ) )  => p1_s2_armstrng(k3_xboole_0(A, B))) ) ) )  =>  (! [A] :  (r2_tarski(A, f1_s2_armstrng) => p1_s2_armstrng(A)) ) ) ).
fof(dt_k1_armstrng, axiom,  (! [A, B] :  (v1_relat_1(B) => m1_subset_1(k1_armstrng(A, B), k1_zfmisc_1(A))) ) ).
fof(dt_k2_armstrng, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => m1_subset_1(k2_armstrng(A), k1_zfmisc_1(A))) ) ).
fof(dt_f1_s2_armstrng, axiom,  ( ~ (v1_xboole_0(f1_s2_armstrng))  & v1_finset_1(f1_s2_armstrng)) ).
fof(dt_k3_armstrng, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k4_ordinal1) &  ( (v3_card_1(B, A) & m1_finseq_1(B, k5_margrel1))  &  (v3_card_1(C, A) & m1_finseq_1(C, k5_margrel1)) ) )  =>  (v3_card_1(k3_armstrng(A, B, C), A) & m2_finseq_1(k3_armstrng(A, B, C), k5_margrel1)) ) ) ).
fof(commutativity_k3_armstrng, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k4_ordinal1) &  ( (v3_card_1(B, A) & m1_finseq_1(B, k5_margrel1))  &  (v3_card_1(C, A) & m1_finseq_1(C, k5_margrel1)) ) )  => k3_armstrng(A, B, C)=k3_armstrng(A, C, B)) ) ).
fof(abstractness_v2_armstrng, axiom,  (! [A] :  (l1_armstrng(A) =>  (v2_armstrng(A) => A=g1_armstrng(u1_armstrng(A), u2_armstrng(A), u3_armstrng(A))) ) ) ).
fof(existence_l1_armstrng, axiom,  (? [A] : l1_armstrng(A)) ).
fof(dt_g1_armstrng, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  & m1_subset_1(C, k1_zfmisc_1(k4_card_3(B)))) )  =>  (v2_armstrng(g1_armstrng(A, B, C)) & l1_armstrng(g1_armstrng(A, B, C))) ) ) ).
fof(free_g1_armstrng, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  & m1_subset_1(C, k1_zfmisc_1(k4_card_3(B)))) )  =>  (! [D, E, F] :  (g1_armstrng(A, B, C)=g1_armstrng(D, E, F) =>  (A=D &  (B=E & C=F) ) ) ) ) ) ).
fof(dt_u1_armstrng, axiom,  (! [A] :  (l1_armstrng(A) =>  ( ~ (v1_xboole_0(u1_armstrng(A)))  & v1_finset_1(u1_armstrng(A))) ) ) ).
fof(dt_u2_armstrng, axiom,  (! [A] :  (l1_armstrng(A) =>  (v1_relat_1(u2_armstrng(A)) &  (v2_relat_1(u2_armstrng(A)) &  (v4_relat_1(u2_armstrng(A), u1_armstrng(A)) &  (v1_funct_1(u2_armstrng(A)) & v1_partfun1(u2_armstrng(A), u1_armstrng(A))) ) ) ) ) ) ).
fof(dt_u3_armstrng, axiom,  (! [A] :  (l1_armstrng(A) => m1_subset_1(u3_armstrng(A), k1_zfmisc_1(k4_card_3(u2_armstrng(A))))) ) ).
fof(dt_k4_armstrng, axiom,  (! [A] : m1_subset_1(k4_armstrng(A), k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A))))) ).
fof(dt_m1_armstrng, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))))  =>  (! [C] :  (m1_armstrng(C, A, B) => m1_subset_1(C, k4_armstrng(A))) ) ) ) ).
fof(existence_m1_armstrng, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))))  =>  (? [C] : m1_armstrng(C, A, B)) ) ) ).
fof(redefinition_m1_armstrng, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))))  =>  (! [C] :  (m1_armstrng(C, A, B) <=> m1_subset_1(C, B)) ) ) ) ).
fof(dt_k5_armstrng, axiom,  (! [A] :  (l1_armstrng(A) => m1_subset_1(k5_armstrng(A), k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(u1_armstrng(A)), k9_setfam_1(u1_armstrng(A)))))) ) ).
fof(reflexivity_r3_armstrng, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k4_armstrng(A)) & m1_subset_1(C, k4_armstrng(A)))  => r3_armstrng(A, B, B)) ) ).
fof(dt_k6_armstrng, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(A)))  => m1_subset_1(k6_armstrng(A, B, C), k4_armstrng(A))) ) ).
fof(redefinition_k6_armstrng, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(A)))  => k6_armstrng(A, B, C)=k4_tarski(B, C)) ) ).
fof(dt_k7_armstrng, axiom,  (! [A] : m1_subset_1(k7_armstrng(A), k1_zfmisc_1(k2_zfmisc_1(k4_armstrng(A), k4_armstrng(A))))) ).
fof(dt_k8_armstrng, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) => m1_subset_1(k8_armstrng(A, B), k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A))))) ) ).
fof(dt_k9_armstrng, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) => m1_subset_1(k9_armstrng(A, B), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ).
fof(dt_k10_armstrng, axiom,  (! [A, B] : m1_subset_1(k10_armstrng(A, B), k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A))))) ).
fof(dt_k11_armstrng, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) => m1_subset_1(k11_armstrng(A, B), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ).
fof(dt_k12_armstrng, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))))  =>  (v6_armstrng(k12_armstrng(A, B), A) & m1_subset_1(k12_armstrng(A, B), k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A))))) ) ) ).
fof(dt_k13_armstrng, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) => m1_subset_1(k13_armstrng(A, B), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ).
fof(d8_armstrng, axiom,  (! [A] :  (l1_armstrng(A) => k5_armstrng(A)=a_1_0_armstrng(A)) ) ).
fof(d10_armstrng, axiom,  (! [A] : k7_armstrng(A)=a_1_1_armstrng(A)) ).
fof(t24_armstrng, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (v6_armstrng(a_2_0_armstrng(A, B), A) & m1_subset_1(a_2_0_armstrng(A, B), k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A))))) ) ) ) ).
fof(t29_armstrng, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  ( (v8_armstrng(B, A) &  (v9_armstrng(B, A) &  (v10_armstrng(B, A) & C=a_2_1_armstrng(A, B)) ) )  =>  (r2_relset_1(k9_setfam_1(A), k9_setfam_1(A), B, k8_armstrng(A, C)) &  (v6_armstrng(C, A) &  (! [D] :  ( (v6_armstrng(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))))  =>  (r2_relset_1(k9_setfam_1(A), k9_setfam_1(A), B, k8_armstrng(A, D)) => r2_relset_1(k9_setfam_1(A), k9_setfam_1(A), D, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_armstrng, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (B=a_2_2_armstrng(A, C) => k2_xboole_0(k1_tarski(k4_tarski(C, A)), a_2_3_armstrng(A, C))=k8_armstrng(A, B)) ) ) ) ) ) ) ).
fof(d21_armstrng, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) => k9_armstrng(A, B)=a_2_4_armstrng(A, B)) ) ) ).
fof(d22_armstrng, axiom,  (! [A] :  (! [B] : k10_armstrng(A, B)=a_2_5_armstrng(A, B)) ) ).
fof(d23_armstrng, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) => k11_armstrng(A, B)=a_2_6_armstrng(A, B)) ) ) ).
fof(t39_armstrng, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (C=k2_xboole_0(k1_tarski(A), a_2_7_armstrng(A, B)) =>  (v1_armstrng(C, A) & v2_finsub_1(C)) ) ) ) ) ) ) ).
fof(t40_armstrng, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (B=a_2_8_armstrng(A, C) => k2_xboole_0(k1_tarski(A), a_2_9_armstrng(A, C))=k9_armstrng(A, B)) ) ) ) ) ) ) ).
fof(t41_armstrng, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (B=a_2_2_armstrng(A, C) => k2_xboole_0(k1_tarski(A), a_2_10_armstrng(A, C))=k9_armstrng(A, B)) ) ) ) ) ) ) ).
fof(d25_armstrng, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (r5_armstrng(A, B, C) <=>  (r1_tarski(B, C) & C=a_2_11_armstrng(A, B)) ) ) ) ) ) ).
fof(d26_armstrng, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) => k13_armstrng(A, B)=a_2_12_armstrng(A, B)) ) ) ).
fof(t47_armstrng, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (B=a_2_2_armstrng(A, C) => k13_armstrng(A, B)=k1_tarski(C)) ) ) ) ) ) ) ).
fof(t50_armstrng, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [C] :  ( (v11_armstrng(B) & C=a_2_13_armstrng(A, B))  =>  (v1_xboole_0(B) | B=k13_armstrng(A, k10_armstrng(A, C))) ) ) ) ) ) ) ).
fof(d31_armstrng, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A)))) => k14_armstrng(A, B)=a_2_14_armstrng(A, B)) ) ) ).
fof(fraenkel_a_1_0_armstrng, axiom,  (! [A, B] :  (l1_armstrng(B) =>  (r2_hidden(A, a_1_0_armstrng(B)) <=>  (? [C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(u1_armstrng(B))) & m1_subset_1(D, k1_zfmisc_1(u1_armstrng(B))))  &  (A=k4_tarski(C, D) & r2_armstrng(B, C, D)) ) ) ) ) ) ).
fof(fraenkel_a_1_1_armstrng, axiom,  (! [A, B] :  (r2_hidden(A, a_1_1_armstrng(B)) <=>  (? [C, D] :  ( (m1_subset_1(C, k4_armstrng(B)) & m1_subset_1(D, k4_armstrng(B)))  &  (A=k4_tarski(C, D) & r3_armstrng(B, D, C)) ) ) ) ) ).
fof(fraenkel_a_2_0_armstrng, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (r2_hidden(A, a_2_0_armstrng(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, k1_zfmisc_1(B)) & m1_subset_1(E, k1_zfmisc_1(B)))  &  (A=k6_armstrng(B, D, E) &  (r1_tarski(C, D) | r1_tarski(E, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_armstrng, axiom,  (! [A, B, C] :  ( (v1_finset_1(B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(B), k9_setfam_1(B)))))  =>  (r2_hidden(A, a_2_1_armstrng(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, k1_zfmisc_1(B)) & m1_subset_1(E, k1_zfmisc_1(B)))  &  (A=k6_armstrng(B, D, E) &  (? [F] :  (m1_subset_1(F, k1_zfmisc_1(B)) &  (? [G] :  (m1_subset_1(G, k1_zfmisc_1(B)) &  (r3_armstrng(B, k6_armstrng(B, F, G), k6_armstrng(B, D, E)) & r2_tarski(k6_armstrng(B, F, G), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_2_armstrng, axiom,  (! [A, B, C] :  ( (v1_finset_1(B) & m1_subset_1(C, k1_zfmisc_1(B)))  =>  (r2_hidden(A, a_2_2_armstrng(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, k1_zfmisc_1(B)) & m1_subset_1(E, k1_zfmisc_1(B)))  &  (A=k6_armstrng(B, D, E) &  (r1_tarski(C, D) | r1_tarski(E, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_3_armstrng, axiom,  (! [A, B, C] :  ( (v1_finset_1(B) & m1_subset_1(C, k1_zfmisc_1(B)))  =>  (r2_hidden(A, a_2_3_armstrng(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) &  (A=k6_armstrng(B, D, D) &  ~ (r1_tarski(C, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_4_armstrng, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(B), k9_setfam_1(B)))) =>  (r2_hidden(A, a_2_4_armstrng(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) &  (A=D &  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(B)) & r4_armstrng(B, C, E, D)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_5_armstrng, axiom,  (! [A, B, C] :  (r2_hidden(A, a_2_5_armstrng(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, k1_zfmisc_1(B)) & m1_subset_1(E, k1_zfmisc_1(B)))  &  (A=k6_armstrng(B, D, E) &  (! [F] :  ( (r2_tarski(F, C) & r1_tarski(D, F))  => r1_tarski(E, F)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_6_armstrng, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(B), k9_setfam_1(B)))) =>  (r2_hidden(A, a_2_6_armstrng(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) &  (A=D &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(B)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(B)) =>  ( (r2_tarski(k6_armstrng(B, E, F), C) & r1_tarski(E, D))  => r1_tarski(F, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_7_armstrng, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (r2_hidden(A, a_2_7_armstrng(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) &  (A=D &  ~ (r1_tarski(C, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_8_armstrng, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  & m1_subset_1(C, k1_zfmisc_1(B)))  =>  (r2_hidden(A, a_2_8_armstrng(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, k1_zfmisc_1(B)) & m1_subset_1(E, k1_zfmisc_1(B)))  &  (A=k6_armstrng(B, D, E) &  (r1_tarski(C, D) | r1_tarski(E, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_9_armstrng, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  & m1_subset_1(C, k1_zfmisc_1(B)))  =>  (r2_hidden(A, a_2_9_armstrng(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) &  (A=D &  ~ (r1_tarski(C, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_10_armstrng, axiom,  (! [A, B, C] :  ( (v1_finset_1(B) & m1_subset_1(C, k1_zfmisc_1(B)))  =>  (r2_hidden(A, a_2_10_armstrng(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) &  (A=D &  ~ (r1_tarski(C, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_11_armstrng, axiom,  (! [A, B, C] :  (r2_hidden(A, a_2_11_armstrng(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B))) &  (A=k8_setfam_1(B, D) & r1_tarski(D, C)) ) ) ) ) ).
fof(fraenkel_a_2_12_armstrng, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(B), k9_setfam_1(B)))) =>  (r2_hidden(A, a_2_12_armstrng(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) &  (A=D & r2_hidden(k4_tarski(D, B), k8_armstrng(B, C))) ) ) ) ) ) ).
fof(fraenkel_a_2_13_armstrng, axiom,  (! [A, B, C] :  ( (v1_finset_1(B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B))))  =>  (r2_hidden(A, a_2_13_armstrng(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) &  (A=D &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(B)) =>  ~ ( (r2_tarski(E, C) & r1_tarski(E, D)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_14_armstrng, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(B), k9_setfam_1(B)))) =>  (r2_hidden(A, a_2_14_armstrng(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) &  (A=D &  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(B)) &  (? [F] :  (m1_subset_1(F, k1_zfmisc_1(B)) &  (r2_tarski(k6_armstrng(B, E, F), C) &  (r1_tarski(E, D) &  ~ (r1_tarski(F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_arrow, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k2_arrow(A))) ) ) ).
fof(rc1_arrow, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, A) &  (v1_partfun1(B, A) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) & v8_relat_2(B)) ) ) ) ) ) ) ) ) ) ).
fof(fc2_arrow, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k3_arrow(A))) ) ) ).
fof(cc1_arrow, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k2_arrow(A)) => v1_relat_1(B)) ) ) ) ).
fof(cc2_arrow, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k3_arrow(A)) => v1_relat_1(B)) ) ) ) ).
fof(t1_arrow, axiom,  (! [A] :  (v1_finset_1(A) =>  (r1_xxreal_0(2, k4_card_1(A)) =>  (! [B] :  (m1_subset_1(B, A) =>  ~ ( (! [C] :  (m1_subset_1(C, A) => C=B) ) ) ) ) ) ) ) ).
fof(t2_arrow, axiom,  (! [A] :  (v1_finset_1(A) =>  (r1_xxreal_0(3, k4_card_1(A)) =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (? [D] :  (m1_subset_1(D, A) &  ( ~ (D=B)  &  ~ (D=C) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_arrow, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (B=k2_arrow(A) <=>  (! [C] :  (r2_tarski(C, B) <=>  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  ( (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (r2_hidden(k4_tarski(D, E), C) | r2_hidden(k4_tarski(E, D), C)) ) ) ) )  &  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  ( (r2_hidden(k4_tarski(D, E), C) & r2_hidden(k4_tarski(E, F), C))  => r2_hidden(k4_tarski(D, F), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_arrow, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_arrow(A))) =>  (B=k3_arrow(A) <=>  (! [C] :  (m1_subset_1(C, k2_arrow(A)) =>  (r2_tarski(C, B) <=>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  ( (r2_hidden(k4_tarski(D, E), C) & r2_hidden(k4_tarski(E, D), C))  => D=E) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_arrow, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_arrow(A))) =>  (B=k3_arrow(A) <=>  (! [C] :  (r2_tarski(C, B) <=>  (v1_partfun1(C, A) &  (v1_relat_2(C) &  (v4_relat_2(C) &  (v6_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_arrow, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (r1_arrow(A, B, C) <=> r2_hidden(k4_tarski(B, C), A)) ) ) ) ) ).
fof(t3_arrow, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, k2_arrow(A)) => r1_arrow(C, B, B)) ) ) ) ) ) ).
fof(t4_arrow, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, k2_arrow(A)) =>  (r1_arrow(D, B, C) | r1_arrow(D, C, B)) ) ) ) ) ) ) ) ) ).
fof(t5_arrow, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, k2_arrow(A)) =>  ~ ( ( ~ ( ( ~ (r1_arrow(E, B, C))  & r1_arrow(E, C, B)) )  &  ( ~ ( ( ~ (r1_arrow(E, C, D))  & r1_arrow(E, D, C)) )  &  ~ (r1_arrow(E, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_arrow, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m2_subset_1(D, k2_arrow(A), k3_arrow(A)) =>  ( (r1_arrow(D, B, C) & r1_arrow(D, C, B))  => B=C) ) ) ) ) ) ) ) ) ).
fof(t7_arrow, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  ~ ( ( ~ (B=C)  &  ( ~ (C=D)  &  ( ~ (B=D)  &  (! [E] :  (m1_subset_1(E, k2_arrow(A)) =>  ~ ( ( ~ (r1_arrow(E, C, B))  &  ~ (r1_arrow(E, D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_arrow, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (? [C] :  (m1_subset_1(C, k2_arrow(A)) &  (! [D] :  (m1_subset_1(D, A) =>  ~ ( ( ~ (D=B)  & r1_arrow(C, D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t9_arrow, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (? [C] :  (m1_subset_1(C, k2_arrow(A)) &  (! [D] :  (m1_subset_1(D, A) =>  ~ ( ( ~ (D=B)  & r1_arrow(C, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t10_arrow, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, k2_arrow(A)) =>  ~ ( ( ~ (B=C)  &  ( ~ (B=D)  &  (! [F] :  (m1_subset_1(F, k2_arrow(A)) =>  ~ ( ( ~ (r1_arrow(F, C, B))  &  ( ~ (r1_arrow(F, D, B))  &  ( ~ ( ( ~ (r1_arrow(F, D, C))  & r1_arrow(E, D, C)) )  &  ( ~ ( ( ~ (r1_arrow(E, D, C))  & r1_arrow(F, D, C)) )  &  ( ~ ( ( ~ (r1_arrow(F, C, D))  & r1_arrow(E, C, D)) )  &  ~ ( ( ~ (r1_arrow(E, C, D))  & r1_arrow(F, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_arrow, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, k2_arrow(A)) =>  ~ ( ( ~ (B=C)  &  ( ~ (B=D)  &  (! [F] :  (m1_subset_1(F, k2_arrow(A)) =>  ~ ( ( ~ (r1_arrow(F, B, C))  &  ( ~ (r1_arrow(F, B, D))  &  ( ~ ( ( ~ (r1_arrow(F, D, C))  & r1_arrow(E, D, C)) )  &  ( ~ ( ( ~ (r1_arrow(E, D, C))  & r1_arrow(F, D, C)) )  &  ( ~ ( ( ~ (r1_arrow(F, C, D))  & r1_arrow(E, C, D)) )  &  ~ ( ( ~ (r1_arrow(E, C, D))  & r1_arrow(F, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_arrow, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m2_subset_1(D, k2_arrow(A), k3_arrow(A)) =>  (! [E] :  (m2_subset_1(E, k2_arrow(A), k3_arrow(A)) =>  ( ~ ( ( ~ ( ( ~ (r1_arrow(D, C, B))  & r1_arrow(E, C, B)) )  &  ( ~ ( ( ~ (r1_arrow(E, C, B))  & r1_arrow(D, C, B)) )  &  ( ~ ( ( ~ (r1_arrow(D, B, C))  & r1_arrow(E, B, C)) )  &  ( ~ ( ( ~ (r1_arrow(E, B, C))  & r1_arrow(D, B, C)) )  &  ~ ( ( ~ ( ( ~ (r1_arrow(D, C, B))  & r1_arrow(E, C, B)) )  &  ~ ( ( ~ (r1_arrow(E, C, B))  & r1_arrow(D, C, B)) ) ) ) ) ) ) ) )  &  ~ ( ( ~ ( ( ~ (r1_arrow(D, C, B))  & r1_arrow(E, C, B)) )  &  ( ~ ( ( ~ (r1_arrow(E, C, B))  & r1_arrow(D, C, B)) )  &  ~ ( ( ~ ( ( ~ (r1_arrow(D, C, B))  & r1_arrow(E, C, B)) )  &  ( ~ ( ( ~ (r1_arrow(E, C, B))  & r1_arrow(D, C, B)) )  &  ( ~ ( ( ~ (r1_arrow(D, B, C))  & r1_arrow(E, B, C)) )  &  ~ ( ( ~ (r1_arrow(E, B, C))  & r1_arrow(D, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_arrow, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_subset_1(B, k2_arrow(A), k3_arrow(A)) =>  (! [C] :  (m1_subset_1(C, k2_arrow(A)) =>  ( (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  ~ ( ( ~ (r1_arrow(B, E, D))  & r1_arrow(C, E, D)) ) ) ) ) )  <=>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  ( ~ ( ( ~ (r1_arrow(B, E, D))  & r1_arrow(C, E, D)) )  &  ~ ( ( ~ (r1_arrow(C, E, D))  & r1_arrow(B, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_arrow, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k9_funct_2(B, k2_arrow(A)), k2_arrow(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(B, k2_arrow(A)), k2_arrow(A))))) )  =>  ~ ( ( (! [D] :  (m2_funct_2(D, B, k2_arrow(A), k9_funct_2(B, k2_arrow(A))) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  ~ ( ( (! [G] :  (m1_subset_1(G, B) =>  ~ (r1_arrow(k3_funct_2(B, k2_arrow(A), D, G), F, E)) ) )  & r1_arrow(k3_funct_2(k9_funct_2(B, k2_arrow(A)), k2_arrow(A), C, D), F, E)) ) ) ) ) ) ) )  &  ( (! [D] :  (m2_funct_2(D, B, k2_arrow(A), k9_funct_2(B, k2_arrow(A))) =>  (! [E] :  (m2_funct_2(E, B, k2_arrow(A), k9_funct_2(B, k2_arrow(A))) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) =>  ( (! [H] :  (m1_subset_1(H, B) =>  ( ~ ( ( ~ (r1_arrow(k3_funct_2(B, k2_arrow(A), D, H), G, F))  & r1_arrow(k3_funct_2(B, k2_arrow(A), E, H), G, F)) )  &  ( ~ ( ( ~ (r1_arrow(k3_funct_2(B, k2_arrow(A), E, H), G, F))  & r1_arrow(k3_funct_2(B, k2_arrow(A), D, H), G, F)) )  &  ( ~ ( ( ~ (r1_arrow(k3_funct_2(B, k2_arrow(A), D, H), F, G))  & r1_arrow(k3_funct_2(B, k2_arrow(A), E, H), F, G)) )  &  ~ ( ( ~ (r1_arrow(k3_funct_2(B, k2_arrow(A), E, H), F, G))  & r1_arrow(k3_funct_2(B, k2_arrow(A), D, H), F, G)) ) ) ) ) ) )  =>  ( ~ ( ( ~ (r1_arrow(k3_funct_2(k9_funct_2(B, k2_arrow(A)), k2_arrow(A), C, D), G, F))  & r1_arrow(k3_funct_2(k9_funct_2(B, k2_arrow(A)), k2_arrow(A), C, E), G, F)) )  &  ~ ( ( ~ (r1_arrow(k3_funct_2(k9_funct_2(B, k2_arrow(A)), k2_arrow(A), C, E), G, F))  & r1_arrow(k3_funct_2(k9_funct_2(B, k2_arrow(A)), k2_arrow(A), C, D), G, F)) ) ) ) ) ) ) ) ) ) ) )  &  (r1_xxreal_0(3, k4_card_1(A)) &  (! [D] :  (m1_subset_1(D, B) =>  (? [E] :  (m2_funct_2(E, B, k2_arrow(A), k9_funct_2(B, k2_arrow(A))) &  (? [F] :  (m1_subset_1(F, A) &  (? [G] :  (m1_subset_1(G, A) &  ( ~ (r1_arrow(k3_funct_2(B, k2_arrow(A), E, D), G, F))  & r1_arrow(k3_funct_2(k9_funct_2(B, k2_arrow(A)), k2_arrow(A), C, E), G, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_arrow, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k9_funct_2(B, k3_arrow(A)), k2_arrow(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(B, k3_arrow(A)), k2_arrow(A))))) )  =>  ~ ( ( (! [D] :  (m2_funct_2(D, B, k3_arrow(A), k9_funct_2(B, k3_arrow(A))) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  ~ ( ( (! [G] :  (m1_subset_1(G, B) =>  ~ (r1_arrow(k1_arrow(B, k2_arrow(A), k3_arrow(A), D, G), F, E)) ) )  & r1_arrow(k3_funct_2(k9_funct_2(B, k3_arrow(A)), k2_arrow(A), C, D), F, E)) ) ) ) ) ) ) )  &  ( (! [D] :  (m2_funct_2(D, B, k3_arrow(A), k9_funct_2(B, k3_arrow(A))) =>  (! [E] :  (m2_funct_2(E, B, k3_arrow(A), k9_funct_2(B, k3_arrow(A))) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) =>  ( (! [H] :  (m1_subset_1(H, B) =>  ( ~ ( ( ~ (r1_arrow(k1_arrow(B, k2_arrow(A), k3_arrow(A), D, H), G, F))  & r1_arrow(k1_arrow(B, k2_arrow(A), k3_arrow(A), E, H), G, F)) )  &  ~ ( ( ~ (r1_arrow(k1_arrow(B, k2_arrow(A), k3_arrow(A), E, H), G, F))  & r1_arrow(k1_arrow(B, k2_arrow(A), k3_arrow(A), D, H), G, F)) ) ) ) )  =>  ( ~ ( ( ~ (r1_arrow(k3_funct_2(k9_funct_2(B, k3_arrow(A)), k2_arrow(A), C, D), G, F))  & r1_arrow(k3_funct_2(k9_funct_2(B, k3_arrow(A)), k2_arrow(A), C, E), G, F)) )  &  ~ ( ( ~ (r1_arrow(k3_funct_2(k9_funct_2(B, k3_arrow(A)), k2_arrow(A), C, E), G, F))  & r1_arrow(k3_funct_2(k9_funct_2(B, k3_arrow(A)), k2_arrow(A), C, D), G, F)) ) ) ) ) ) ) ) ) ) ) )  &  (r1_xxreal_0(3, k4_card_1(A)) &  (! [D] :  (m1_subset_1(D, B) =>  ~ ( (! [E] :  (m2_funct_2(E, B, k3_arrow(A), k9_funct_2(B, k3_arrow(A))) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) =>  ( ~ ( ( ~ (r1_arrow(k1_arrow(B, k2_arrow(A), k3_arrow(A), E, D), G, F))  & r1_arrow(k3_funct_2(k9_funct_2(B, k3_arrow(A)), k2_arrow(A), C, E), G, F)) )  &  ~ ( ( ~ (r1_arrow(k3_funct_2(k9_funct_2(B, k3_arrow(A)), k2_arrow(A), C, E), G, F))  & r1_arrow(k1_arrow(B, k2_arrow(A), k3_arrow(A), E, D), G, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_arrow, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(B)))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  & m1_subset_1(E, A)) ) ) )  => m2_subset_1(k1_arrow(A, B, C, D, E), B, C)) ) ).
fof(redefinition_k1_arrow, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(B)))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  & m1_subset_1(E, A)) ) ) )  => k1_arrow(A, B, C, D, E)=k1_funct_1(D, E)) ) ).
fof(dt_k3_arrow, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => m1_subset_1(k3_arrow(A), k1_zfmisc_1(k2_arrow(A)))) ) ).
fof(fc1_arytm_0, axiom,  (! [A, B] :  ~ (v8_ordinal1(k4_tarski(A, B))) ) ).
fof(t1_arytm_0, axiom, r1_tarski(k2_arytm_2, k1_numbers)).
fof(t2_arytm_0, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  ( ~ (A=k11_arytm_3)  => r2_hidden(k4_tarski(k11_arytm_3, A), k1_numbers)) ) ) ).
fof(t3_arytm_0, axiom,  (! [A] :  ~ ( (r2_hidden(k4_tarski(k11_arytm_3, A), k1_numbers) & A=k11_arytm_3) ) ) ).
fof(t4_arytm_0, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) => r2_tarski(k2_arytm_1(A, B), k1_numbers)) ) ) ) ).
fof(t5_arytm_0, axiom, r1_xboole_0(k2_arytm_2, k2_zfmisc_1(k1_tarski(k11_arytm_3), k2_arytm_2))).
fof(t6_arytm_0, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  (k2_arytm_1(A, B)=k11_arytm_3 => A=B) ) ) ) ) ).
fof(t7_arytm_0, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  (! [C] :  (m1_subset_1(C, k2_arytm_2) =>  (k8_arytm_2(A, B)=k8_arytm_2(A, C) =>  (A=k11_arytm_3 | B=C) ) ) ) ) ) ) ) ).
fof(d1_arytm_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) =>  ( ( (r2_tarski(A, k2_arytm_2) & r2_tarski(B, k2_arytm_2))  =>  (C=k1_arytm_0(A, B) <=>  (? [D] :  (m1_subset_1(D, k2_arytm_2) &  (? [E] :  (m1_subset_1(E, k2_arytm_2) &  (A=D &  (B=E & C=k7_arytm_2(D, E)) ) ) ) ) ) ) )  &  ( ( (r2_tarski(A, k2_arytm_2) & r2_tarski(B, k2_zfmisc_1(k1_tarski(k5_numbers), k2_arytm_2)))  =>  (C=k1_arytm_0(A, B) <=>  (? [D] :  (m1_subset_1(D, k2_arytm_2) &  (? [E] :  (m1_subset_1(E, k2_arytm_2) &  (A=D &  (B=k4_tarski(k5_numbers, E) & C=k2_arytm_1(D, E)) ) ) ) ) ) ) )  &  ( ( (r2_tarski(B, k2_arytm_2) & r2_tarski(A, k2_zfmisc_1(k1_tarski(k5_numbers), k2_arytm_2)))  =>  (C=k1_arytm_0(A, B) <=>  (? [D] :  (m1_subset_1(D, k2_arytm_2) &  (? [E] :  (m1_subset_1(E, k2_arytm_2) &  (A=k4_tarski(k5_numbers, D) &  (B=E & C=k2_arytm_1(E, D)) ) ) ) ) ) ) )  &  ~ ( ( ~ ( (r2_tarski(A, k2_arytm_2) & r2_tarski(B, k2_arytm_2)) )  &  ( ~ ( (r2_tarski(A, k2_arytm_2) & r2_tarski(B, k2_zfmisc_1(k1_tarski(k5_numbers), k2_arytm_2))) )  &  ( ~ ( (r2_tarski(B, k2_arytm_2) & r2_tarski(A, k2_zfmisc_1(k1_tarski(k5_numbers), k2_arytm_2))) )  &  ~ ( (C=k1_arytm_0(A, B) <=>  (? [D] :  (m1_subset_1(D, k2_arytm_2) &  (? [E] :  (m1_subset_1(E, k2_arytm_2) &  (A=k4_tarski(k5_numbers, D) &  (B=k4_tarski(k5_numbers, E) & C=k4_tarski(k5_numbers, k7_arytm_2(D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_arytm_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) =>  ( ( (r2_tarski(A, k2_arytm_2) & r2_tarski(B, k2_arytm_2))  =>  (C=k2_arytm_0(A, B) <=>  (? [D] :  (m1_subset_1(D, k2_arytm_2) &  (? [E] :  (m1_subset_1(E, k2_arytm_2) &  (A=D &  (B=E & C=k8_arytm_2(D, E)) ) ) ) ) ) ) )  &  ( ( (r2_tarski(A, k2_arytm_2) & r2_tarski(B, k2_zfmisc_1(k1_tarski(k5_numbers), k2_arytm_2)))  =>  (A=k5_numbers |  (C=k2_arytm_0(A, B) <=>  (? [D] :  (m1_subset_1(D, k2_arytm_2) &  (? [E] :  (m1_subset_1(E, k2_arytm_2) &  (A=D &  (B=k4_tarski(k5_numbers, E) & C=k4_tarski(k5_numbers, k8_arytm_2(D, E))) ) ) ) ) ) ) ) )  &  ( ( (r2_tarski(B, k2_arytm_2) & r2_tarski(A, k2_zfmisc_1(k1_tarski(k5_numbers), k2_arytm_2)))  =>  (B=k5_numbers |  (C=k2_arytm_0(A, B) <=>  (? [D] :  (m1_subset_1(D, k2_arytm_2) &  (? [E] :  (m1_subset_1(E, k2_arytm_2) &  (A=k4_tarski(k5_numbers, D) &  (B=E & C=k4_tarski(k5_numbers, k8_arytm_2(E, D))) ) ) ) ) ) ) ) )  &  ( ( (r2_tarski(A, k2_zfmisc_1(k1_tarski(k5_numbers), k2_arytm_2)) & r2_tarski(B, k2_zfmisc_1(k1_tarski(k5_numbers), k2_arytm_2)))  =>  (C=k2_arytm_0(A, B) <=>  (? [D] :  (m1_subset_1(D, k2_arytm_2) &  (? [E] :  (m1_subset_1(E, k2_arytm_2) &  (A=k4_tarski(k5_numbers, D) &  (B=k4_tarski(k5_numbers, E) & C=k8_arytm_2(E, D)) ) ) ) ) ) ) )  &  ~ ( ( ~ ( (r2_tarski(A, k2_arytm_2) & r2_tarski(B, k2_arytm_2)) )  &  ( ~ ( (r2_tarski(A, k2_arytm_2) &  (r2_tarski(B, k2_zfmisc_1(k1_tarski(k5_numbers), k2_arytm_2)) &  ~ (A=k5_numbers) ) ) )  &  ( ~ ( (r2_tarski(B, k2_arytm_2) &  (r2_tarski(A, k2_zfmisc_1(k1_tarski(k5_numbers), k2_arytm_2)) &  ~ (B=k5_numbers) ) ) )  &  ( ~ ( (r2_tarski(A, k2_zfmisc_1(k1_tarski(k5_numbers), k2_arytm_2)) & r2_tarski(B, k2_zfmisc_1(k1_tarski(k5_numbers), k2_arytm_2))) )  &  ~ ( (C=k2_arytm_0(A, B) <=> C=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_arytm_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (B=k3_arytm_0(A) <=> k1_arytm_0(A, B)=k5_numbers) ) ) ) ) ).
fof(d4_arytm_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  ( ( ~ (A=k5_numbers)  =>  (B=k4_arytm_0(A) <=> k2_arytm_0(A, B)=1) )  &  (A=k5_numbers =>  (B=k4_arytm_0(A) <=> B=k5_numbers) ) ) ) ) ) ) ).
fof(t8_arytm_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  ~ (r2_tarski(k7_funct_4(k1_numbers, k5_numbers, 1, A, B), k1_numbers)) ) ) ) ) ).
fof(d5_arytm_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  ( (B=k5_numbers => k5_arytm_0(A, B)=A)  &  ( ~ (B=k5_numbers)  => k5_arytm_0(A, B)=k7_funct_4(k1_numbers, k5_numbers, 1, A, B)) ) ) ) ) ) ).
fof(t9_arytm_0, axiom,  (! [A] :  (m1_subset_1(A, k2_numbers) =>  (? [B] :  (m1_subset_1(B, k1_numbers) &  (? [C] :  (m1_subset_1(C, k1_numbers) & A=k5_arytm_0(B, C)) ) ) ) ) ) ).
fof(t10_arytm_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) =>  (! [D] :  (m1_subset_1(D, k1_numbers) =>  (k5_arytm_0(A, B)=k5_arytm_0(C, D) =>  (A=C & B=D) ) ) ) ) ) ) ) ) ) ).
fof(t11_arytm_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (B=k5_numbers => k1_arytm_0(A, B)=A) ) ) ) ) ).
fof(t12_arytm_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (B=k5_numbers => k2_arytm_0(A, B)=k5_numbers) ) ) ) ) ).
fof(t13_arytm_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) => k2_arytm_0(A, k2_arytm_0(B, C))=k2_arytm_0(k2_arytm_0(A, B), C)) ) ) ) ) ) ).
fof(t14_arytm_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) => k2_arytm_0(A, k1_arytm_0(B, C))=k1_arytm_0(k2_arytm_0(A, B), k2_arytm_0(A, C))) ) ) ) ) ) ).
fof(t15_arytm_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) => k2_arytm_0(k3_arytm_0(A), B)=k3_arytm_0(k2_arytm_0(A, B))) ) ) ) ).
fof(t16_arytm_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) => r2_tarski(k2_arytm_0(A, A), k2_arytm_2)) ) ).
fof(t17_arytm_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (k1_arytm_0(k2_arytm_0(A, A), k2_arytm_0(B, B))=k5_numbers => A=k5_numbers) ) ) ) ) ).
fof(t18_arytm_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) =>  ( (k2_arytm_0(A, B)=1 & k2_arytm_0(A, C)=1)  =>  (A=k5_numbers | B=C) ) ) ) ) ) ) ) ).
fof(t19_arytm_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (B=1 => k2_arytm_0(A, B)=A) ) ) ) ) ).
fof(t20_arytm_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  ( ~ (B=k5_numbers)  => k2_arytm_0(k2_arytm_0(A, B), k4_arytm_0(B))=A) ) ) ) ) ).
fof(t21_arytm_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  ~ ( (k2_arytm_0(A, B)=k5_numbers &  ( ~ (A=k5_numbers)  &  ~ (B=k5_numbers) ) ) ) ) ) ) ) ).
fof(t22_arytm_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) => k4_arytm_0(k2_arytm_0(A, B))=k2_arytm_0(k4_arytm_0(A), k4_arytm_0(B))) ) ) ) ).
fof(t23_arytm_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) => k1_arytm_0(A, k1_arytm_0(B, C))=k1_arytm_0(k1_arytm_0(A, B), C)) ) ) ) ) ) ).
fof(t24_arytm_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (r2_tarski(k5_arytm_0(A, B), k1_numbers) => B=k5_numbers) ) ) ) ) ).
fof(t25_arytm_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) => k3_arytm_0(k1_arytm_0(A, B))=k1_arytm_0(k3_arytm_0(A), k3_arytm_0(B))) ) ) ) ).
fof(dt_k1_arytm_0, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_numbers) & m1_subset_1(B, k1_numbers))  => m1_subset_1(k1_arytm_0(A, B), k1_numbers)) ) ).
fof(commutativity_k1_arytm_0, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_numbers) & m1_subset_1(B, k1_numbers))  => k1_arytm_0(A, B)=k1_arytm_0(B, A)) ) ).
fof(dt_k2_arytm_0, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_numbers) & m1_subset_1(B, k1_numbers))  => m1_subset_1(k2_arytm_0(A, B), k1_numbers)) ) ).
fof(commutativity_k2_arytm_0, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_numbers) & m1_subset_1(B, k1_numbers))  => k2_arytm_0(A, B)=k2_arytm_0(B, A)) ) ).
fof(dt_k3_arytm_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) => m1_subset_1(k3_arytm_0(A), k1_numbers)) ) ).
fof(involutiveness_k3_arytm_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) => k3_arytm_0(k3_arytm_0(A))=A) ) ).
fof(dt_k4_arytm_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) => m1_subset_1(k4_arytm_0(A), k1_numbers)) ) ).
fof(involutiveness_k4_arytm_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) => k4_arytm_0(k4_arytm_0(A))=A) ) ).
fof(dt_k5_arytm_0, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_numbers) & m1_subset_1(B, k1_numbers))  => m1_subset_1(k5_arytm_0(A, B), k2_numbers)) ) ).
fof(t1_arytm_1, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  (k7_arytm_2(A, B)=B => A=k11_arytm_3) ) ) ) ) ).
fof(t2_arytm_1, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  ~ ( (k8_arytm_2(A, B)=k11_arytm_3 &  ( ~ (A=k11_arytm_3)  &  ~ (B=k11_arytm_3) ) ) ) ) ) ) ) ).
fof(t3_arytm_1, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  (! [C] :  (m1_subset_1(C, k2_arytm_2) =>  ( (r1_arytm_2(A, B) & r1_arytm_2(B, C))  => r1_arytm_2(A, C)) ) ) ) ) ) ) ).
fof(t4_arytm_1, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  ( (r1_arytm_2(A, B) & r1_arytm_2(B, A))  => A=B) ) ) ) ) ).
fof(t5_arytm_1, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  ( (r1_arytm_2(A, B) & B=k11_arytm_3)  => A=k11_arytm_3) ) ) ) ) ).
fof(t6_arytm_1, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  (A=k11_arytm_3 => r1_arytm_2(A, B)) ) ) ) ) ).
fof(t7_arytm_1, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  (! [C] :  (m1_subset_1(C, k2_arytm_2) =>  (r1_arytm_2(A, B) <=> r1_arytm_2(k7_arytm_2(A, C), k7_arytm_2(B, C))) ) ) ) ) ) ) ).
fof(t8_arytm_1, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  (! [C] :  (m1_subset_1(C, k2_arytm_2) =>  (r1_arytm_2(A, B) => r1_arytm_2(k8_arytm_2(A, C), k8_arytm_2(B, C))) ) ) ) ) ) ) ).
fof(d1_arytm_1, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  (! [C] :  (m1_subset_1(C, k2_arytm_2) =>  ( (r1_arytm_2(B, A) =>  (C=k1_arytm_1(A, B) <=> k7_arytm_2(C, B)=A) )  &  ( ~ (r1_arytm_2(B, A))  =>  (C=k1_arytm_1(A, B) <=> C=k11_arytm_3) ) ) ) ) ) ) ) ) ).
fof(t9_arytm_1, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  ~ ( ( ~ (r1_arytm_2(A, B))  & k1_arytm_1(A, B)=k11_arytm_3) ) ) ) ) ) ).
fof(t10_arytm_1, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  ( (r1_arytm_2(A, B) & k1_arytm_1(B, A)=k11_arytm_3)  => A=B) ) ) ) ) ).
fof(t11_arytm_1, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) => r1_arytm_2(k1_arytm_1(A, B), A)) ) ) ) ).
fof(t12_arytm_1, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  (! [C] :  (m1_subset_1(C, k2_arytm_2) =>  ( (r1_arytm_2(B, A) & r1_arytm_2(B, C))  => k7_arytm_2(A, k1_arytm_1(C, B))=k7_arytm_2(k1_arytm_1(A, B), C)) ) ) ) ) ) ) ).
fof(t13_arytm_1, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  (! [C] :  (m1_subset_1(C, k2_arytm_2) =>  (r1_arytm_2(C, B) => k7_arytm_2(A, k1_arytm_1(B, C))=k1_arytm_1(k7_arytm_2(A, B), C)) ) ) ) ) ) ) ).
fof(t14_arytm_1, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  (! [C] :  (m1_subset_1(C, k2_arytm_2) =>  ( (r1_arytm_2(C, A) & r1_arytm_2(B, C))  => k7_arytm_2(k1_arytm_1(A, C), B)=k1_arytm_1(A, k1_arytm_1(C, B))) ) ) ) ) ) ) ).
fof(t15_arytm_1, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  (! [C] :  (m1_subset_1(C, k2_arytm_2) =>  ( (r1_arytm_2(B, A) & r1_arytm_2(B, C))  => k7_arytm_2(k1_arytm_1(C, B), A)=k7_arytm_2(k1_arytm_1(A, B), C)) ) ) ) ) ) ) ).
fof(t16_arytm_1, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  (! [C] :  (m1_subset_1(C, k2_arytm_2) =>  (r1_arytm_2(A, B) => r1_arytm_2(k1_arytm_1(C, B), k1_arytm_1(C, A))) ) ) ) ) ) ) ).
fof(t17_arytm_1, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  (! [C] :  (m1_subset_1(C, k2_arytm_2) =>  (r1_arytm_2(A, B) => r1_arytm_2(k1_arytm_1(A, C), k1_arytm_1(B, C))) ) ) ) ) ) ) ).
fof(d2_arytm_1, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  ( (r1_arytm_2(B, A) => k2_arytm_1(A, B)=k1_arytm_1(A, B))  &  ( ~ (r1_arytm_2(B, A))  => k2_arytm_1(A, B)=k4_tarski(k11_arytm_3, k1_arytm_1(B, A))) ) ) ) ) ) ).
fof(t18_arytm_1, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) => k2_arytm_1(A, A)=k11_arytm_3) ) ).
fof(t19_arytm_1, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  (A=k11_arytm_3 =>  (B=k11_arytm_3 | k2_arytm_1(A, B)=k4_tarski(k11_arytm_3, B)) ) ) ) ) ) ).
fof(t20_arytm_1, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  (! [C] :  (m1_subset_1(C, k2_arytm_2) =>  (r1_arytm_2(C, B) => k7_arytm_2(A, k1_arytm_1(B, C))=k2_arytm_1(k7_arytm_2(A, B), C)) ) ) ) ) ) ) ).
fof(t21_arytm_1, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  (! [C] :  (m1_subset_1(C, k2_arytm_2) =>  ( ~ (r1_arytm_2(C, B))  => k2_arytm_1(A, k1_arytm_1(C, B))=k2_arytm_1(k7_arytm_2(A, B), C)) ) ) ) ) ) ) ).
fof(t22_arytm_1, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  (! [C] :  (m1_subset_1(C, k2_arytm_2) =>  (r1_arytm_2(B, A) =>  (r1_arytm_2(B, C) | k2_arytm_1(A, k1_arytm_1(B, C))=k7_arytm_2(k1_arytm_1(A, B), C)) ) ) ) ) ) ) ) ).
fof(t23_arytm_1, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  (! [C] :  (m1_subset_1(C, k2_arytm_2) =>  ~ ( ( ~ (r1_arytm_2(B, A))  &  ( ~ (r1_arytm_2(B, C))  &  ~ (k2_arytm_1(A, k1_arytm_1(B, C))=k2_arytm_1(C, k1_arytm_1(B, A))) ) ) ) ) ) ) ) ) ) ).
fof(t24_arytm_1, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  (! [C] :  (m1_subset_1(C, k2_arytm_2) =>  (r1_arytm_2(B, A) => k2_arytm_1(A, k7_arytm_2(B, C))=k2_arytm_1(k1_arytm_1(A, B), C)) ) ) ) ) ) ) ).
fof(t25_arytm_1, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  (! [C] :  (m1_subset_1(C, k2_arytm_2) =>  ( (r1_arytm_2(A, B) & r1_arytm_2(C, B))  => k2_arytm_1(k1_arytm_1(B, C), A)=k2_arytm_1(k1_arytm_1(B, A), C)) ) ) ) ) ) ) ).
fof(t26_arytm_1, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  (! [C] :  (m1_subset_1(C, k2_arytm_2) =>  (r1_arytm_2(C, B) => k8_arytm_2(A, k1_arytm_1(B, C))=k2_arytm_1(k8_arytm_2(A, B), k8_arytm_2(A, C))) ) ) ) ) ) ) ).
fof(t27_arytm_1, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  (! [C] :  (m1_subset_1(C, k2_arytm_2) =>  ~ ( ( ~ (r1_arytm_2(C, B))  &  ( ~ (A=k11_arytm_3)  &  ~ (k4_tarski(k11_arytm_3, k8_arytm_2(A, k1_arytm_1(C, B)))=k2_arytm_1(k8_arytm_2(A, B), k8_arytm_2(A, C))) ) ) ) ) ) ) ) ) ) ).
fof(t28_arytm_1, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  (! [C] :  (m1_subset_1(C, k2_arytm_2) =>  (r1_arytm_2(C, B) =>  (k1_arytm_1(B, C)=k11_arytm_3 |  (A=k11_arytm_3 | k2_arytm_1(k8_arytm_2(A, C), k8_arytm_2(A, B))=k4_tarski(k11_arytm_3, k8_arytm_2(A, k1_arytm_1(B, C)))) ) ) ) ) ) ) ) ) ).
fof(dt_k1_arytm_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k2_arytm_2) & m1_subset_1(B, k2_arytm_2))  => m1_subset_1(k1_arytm_1(A, B), k2_arytm_2)) ) ).
fof(fc1_arytm_2, axiom,  ~ (v1_xboole_0(k1_arytm_2)) ).
fof(fc2_arytm_2, axiom,  ~ (v1_xboole_0(k2_arytm_2)) ).
fof(t1_arytm_2, axiom, r1_tarski(k5_arytm_3, k2_arytm_2)).
fof(t2_arytm_2, axiom, r1_tarski(k4_ordinal1, k2_arytm_2)).
fof(t3_arytm_2, axiom,  (! [A] :  ~ (r2_hidden(k4_tarski(k11_arytm_3, A), k2_arytm_2)) ) ).
fof(d4_arytm_2, axiom,  (! [A] :  (m2_subset_1(A, k1_zfmisc_1(k5_arytm_3), k1_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  ( ( (? [C] :  (m1_subset_1(C, k5_arytm_3) &  (! [D] :  (m1_subset_1(D, k5_arytm_3) =>  (r2_tarski(D, A) <=>  ~ (r3_arytm_3(C, D)) ) ) ) ) )  =>  (B=k4_arytm_2(A) <=>  (? [C] :  (m1_subset_1(C, k5_arytm_3) &  (B=C &  (! [D] :  (m1_subset_1(D, k5_arytm_3) =>  (r2_tarski(D, A) <=>  ~ (r3_arytm_3(C, D)) ) ) ) ) ) ) ) )  &  ( (! [C] :  (m1_subset_1(C, k5_arytm_3) =>  ~ ( (! [D] :  (m1_subset_1(D, k5_arytm_3) =>  (r2_tarski(D, A) <=>  ~ (r3_arytm_3(C, D)) ) ) ) ) ) )  =>  (B=k4_arytm_2(A) <=> B=A) ) ) ) ) ) ) ).
fof(d5_arytm_2, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  ( ( (r2_tarski(A, k5_arytm_3) & r2_tarski(B, k5_arytm_3))  =>  (r1_arytm_2(A, B) <=>  (? [C] :  (m1_subset_1(C, k5_arytm_3) &  (? [D] :  (m1_subset_1(D, k5_arytm_3) &  (A=C &  (B=D & r3_arytm_3(C, D)) ) ) ) ) ) ) )  &  ( (r2_tarski(A, k5_arytm_3) =>  (r2_tarski(B, k5_arytm_3) |  (r1_arytm_2(A, B) <=> r2_tarski(A, B)) ) )  &  ( (r2_tarski(B, k5_arytm_3) =>  (r2_tarski(A, k5_arytm_3) |  (r1_arytm_2(A, B) <=>  ~ (r2_tarski(B, A)) ) ) )  &  ~ ( ( ~ ( (r2_tarski(A, k5_arytm_3) & r2_tarski(B, k5_arytm_3)) )  &  ( ~ ( (r2_tarski(A, k5_arytm_3) &  ~ (r2_tarski(B, k5_arytm_3)) ) )  &  ( ~ ( ( ~ (r2_tarski(A, k5_arytm_3))  & r2_tarski(B, k5_arytm_3)) )  &  ~ ( (r1_arytm_2(A, B) <=> r1_tarski(A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_arytm_2, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  ( (B=k11_arytm_3 => k7_arytm_2(A, B)=A)  &  ( (A=k11_arytm_3 => k7_arytm_2(A, B)=B)  &  ~ ( ( ~ (B=k11_arytm_3)  &  ( ~ (A=k11_arytm_3)  &  ~ (k7_arytm_2(A, B)=k4_arytm_2(k5_arytm_2(k3_arytm_2(A), k3_arytm_2(B)))) ) ) ) ) ) ) ) ) ) ).
fof(d9_arytm_2, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) => k8_arytm_2(A, B)=k4_arytm_2(k6_arytm_2(k3_arytm_2(A), k3_arytm_2(B)))) ) ) ) ).
fof(t4_arytm_2, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  (A=k11_arytm_3 => k8_arytm_2(A, B)=k11_arytm_3) ) ) ) ) ).
fof(t5_arytm_2, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  (k7_arytm_2(A, B)=k11_arytm_3 => A=k11_arytm_3) ) ) ) ) ).
fof(t6_arytm_2, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  (! [C] :  (m1_subset_1(C, k2_arytm_2) => k7_arytm_2(A, k7_arytm_2(B, C))=k7_arytm_2(k7_arytm_2(A, B), C)) ) ) ) ) ) ).
fof(t8_arytm_2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_arytm_2)) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_arytm_2)) =>  ~ ( ( (? [C] :  (m1_subset_1(C, k2_arytm_2) & r2_tarski(C, B)) )  &  ( (! [C] :  (m1_subset_1(C, k2_arytm_2) =>  (! [D] :  (m1_subset_1(D, k2_arytm_2) =>  ( (r2_tarski(C, A) & r2_tarski(D, B))  => r1_arytm_2(C, D)) ) ) ) )  &  (! [C] :  (m1_subset_1(C, k2_arytm_2) =>  (? [D] :  (m1_subset_1(D, k2_arytm_2) &  (? [E] :  (m1_subset_1(E, k2_arytm_2) &  (r2_tarski(D, A) &  (r2_tarski(E, B) &  ~ ( (r1_arytm_2(D, C) & r1_arytm_2(C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_arytm_2, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  ~ ( (r1_arytm_2(A, B) &  (! [C] :  (m1_subset_1(C, k2_arytm_2) =>  ~ (k7_arytm_2(A, C)=B) ) ) ) ) ) ) ) ) ).
fof(t10_arytm_2, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  ~ ( (! [C] :  (m1_subset_1(C, k2_arytm_2) =>  ( ~ (k7_arytm_2(A, C)=B)  &  ~ (k7_arytm_2(B, C)=A) ) ) ) ) ) ) ) ) ).
fof(t11_arytm_2, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  (! [C] :  (m1_subset_1(C, k2_arytm_2) =>  (k7_arytm_2(A, B)=k7_arytm_2(A, C) => B=C) ) ) ) ) ) ) ).
fof(t12_arytm_2, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  (! [C] :  (m1_subset_1(C, k2_arytm_2) => k8_arytm_2(A, k8_arytm_2(B, C))=k8_arytm_2(k8_arytm_2(A, B), C)) ) ) ) ) ) ).
fof(t13_arytm_2, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  (! [C] :  (m1_subset_1(C, k2_arytm_2) => k8_arytm_2(A, k7_arytm_2(B, C))=k7_arytm_2(k8_arytm_2(A, B), k8_arytm_2(A, C))) ) ) ) ) ) ).
fof(t14_arytm_2, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  ~ ( ( ~ (A=k11_arytm_3)  &  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  ~ (k8_arytm_2(A, B)=k12_arytm_3) ) ) ) ) ) ) ).
fof(t15_arytm_2, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  (A=k12_arytm_3 => k8_arytm_2(A, B)=B) ) ) ) ) ).
fof(t16_arytm_2, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  ( (r2_tarski(A, k4_ordinal1) & r2_tarski(B, k4_ordinal1))  => r2_tarski(k7_arytm_2(B, A), k4_ordinal1)) ) ) ) ) ).
fof(t17_arytm_2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_arytm_2)) =>  ( (r2_tarski(k5_ordinal1, A) &  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  (! [C] :  (m1_subset_1(C, k2_arytm_2) =>  ( (r2_tarski(B, A) & C=k12_arytm_3)  => r2_tarski(k7_arytm_2(B, C), A)) ) ) ) ) )  => r1_tarski(k4_ordinal1, A)) ) ) ).
fof(t18_arytm_2, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (r2_tarski(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  (r2_tarski(B, A) <=>  (r2_tarski(B, k4_ordinal1) &  ( ~ (B=A)  & r1_arytm_2(B, A)) ) ) ) ) ) ) ) ).
fof(t19_arytm_2, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  (! [C] :  (m1_subset_1(C, k2_arytm_2) =>  (A=k7_arytm_2(B, C) => r1_arytm_2(C, A)) ) ) ) ) ) ) ).
fof(t20_arytm_2, axiom,  (r2_tarski(k11_arytm_3, k2_arytm_2) & r2_tarski(k12_arytm_3, k2_arytm_2)) ).
fof(t21_arytm_2, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m1_subset_1(B, k2_arytm_2) =>  ~ ( (r2_tarski(A, k5_arytm_3) &  (r2_tarski(B, k5_arytm_3) &  (! [C] :  (m1_subset_1(C, k5_arytm_3) =>  (! [D] :  (m1_subset_1(D, k5_arytm_3) =>  ~ ( (A=C &  (B=D & k8_arytm_2(A, B)=k10_arytm_3(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_arytm_2, axiom, m1_subset_1(k1_arytm_2, k1_zfmisc_1(k1_zfmisc_1(k5_arytm_3)))).
fof(dt_k3_arytm_2, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) => m2_subset_1(k3_arytm_2(A), k1_zfmisc_1(k5_arytm_3), k1_arytm_2)) ) ).
fof(dt_k4_arytm_2, axiom,  (! [A] :  (m1_subset_1(A, k1_arytm_2) => m1_subset_1(k4_arytm_2(A), k2_arytm_2)) ) ).
fof(connectedness_r1_arytm_2, axiom,  (! [A, B] :  ( (m1_subset_1(A, k2_arytm_2) & m1_subset_1(B, k2_arytm_2))  =>  (r1_arytm_2(A, B) | r1_arytm_2(B, A)) ) ) ).
fof(dt_k5_arytm_2, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_arytm_2) & m1_subset_1(B, k1_arytm_2))  => m2_subset_1(k5_arytm_2(A, B), k1_zfmisc_1(k5_arytm_3), k1_arytm_2)) ) ).
fof(commutativity_k5_arytm_2, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_arytm_2) & m1_subset_1(B, k1_arytm_2))  => k5_arytm_2(A, B)=k5_arytm_2(B, A)) ) ).
fof(dt_k6_arytm_2, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_arytm_2) & m1_subset_1(B, k1_arytm_2))  => m2_subset_1(k6_arytm_2(A, B), k1_zfmisc_1(k5_arytm_3), k1_arytm_2)) ) ).
fof(commutativity_k6_arytm_2, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_arytm_2) & m1_subset_1(B, k1_arytm_2))  => k6_arytm_2(A, B)=k6_arytm_2(B, A)) ) ).
fof(dt_k7_arytm_2, axiom,  (! [A, B] :  ( (m1_subset_1(A, k2_arytm_2) & m1_subset_1(B, k2_arytm_2))  => m1_subset_1(k7_arytm_2(A, B), k2_arytm_2)) ) ).
fof(commutativity_k7_arytm_2, axiom,  (! [A, B] :  ( (m1_subset_1(A, k2_arytm_2) & m1_subset_1(B, k2_arytm_2))  => k7_arytm_2(A, B)=k7_arytm_2(B, A)) ) ).
fof(dt_k8_arytm_2, axiom,  (! [A, B] :  ( (m1_subset_1(A, k2_arytm_2) & m1_subset_1(B, k2_arytm_2))  => m1_subset_1(k8_arytm_2(A, B), k2_arytm_2)) ) ).
fof(commutativity_k8_arytm_2, axiom,  (! [A, B] :  ( (m1_subset_1(A, k2_arytm_2) & m1_subset_1(B, k2_arytm_2))  => k8_arytm_2(A, B)=k8_arytm_2(B, A)) ) ).
fof(d1_arytm_2, axiom, k1_arytm_2=k6_subset_1(a_0_0_arytm_2, k1_tarski(k5_arytm_3))).
fof(d2_arytm_2, axiom, k2_arytm_2=k6_subset_1(k2_xboole_0(k5_arytm_3, k1_arytm_2), a_0_1_arytm_2)).
fof(d3_arytm_2, axiom,  (! [A] :  (m1_subset_1(A, k2_arytm_2) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k5_arytm_3), k1_arytm_2) =>  ( (r2_tarski(A, k5_arytm_3) =>  (B=k3_arytm_2(A) <=>  (? [C] :  (m1_subset_1(C, k5_arytm_3) &  (A=C & B=a_1_0_arytm_2(C)) ) ) ) )  &  ( ~ (r2_tarski(A, k5_arytm_3))  =>  (B=k3_arytm_2(A) <=> B=A) ) ) ) ) ) ) ).
fof(d6_arytm_2, axiom,  (! [A] :  (m2_subset_1(A, k1_zfmisc_1(k5_arytm_3), k1_arytm_2) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k5_arytm_3), k1_arytm_2) => k5_arytm_2(A, B)=a_2_0_arytm_2(A, B)) ) ) ) ).
fof(d7_arytm_2, axiom,  (! [A] :  (m2_subset_1(A, k1_zfmisc_1(k5_arytm_3), k1_arytm_2) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k5_arytm_3), k1_arytm_2) => k6_arytm_2(A, B)=a_2_1_arytm_2(A, B)) ) ) ) ).
fof(t7_arytm_2, axiom, v6_ordinal1(a_0_0_arytm_2)).
fof(fraenkel_a_0_0_arytm_2, axiom,  (! [A] :  (r2_hidden(A, a_0_0_arytm_2) <=>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k5_arytm_3)) &  (A=B &  (! [C] :  (m1_subset_1(C, k5_arytm_3) =>  (r2_tarski(C, B) =>  ( (! [D] :  (m1_subset_1(D, k5_arytm_3) =>  (r3_arytm_3(D, C) => r2_tarski(D, B)) ) )  &  (? [D] :  (m1_subset_1(D, k5_arytm_3) &  (r2_tarski(D, B) &  ~ (r3_arytm_3(D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_0_1_arytm_2, axiom,  (! [A] :  (r2_hidden(A, a_0_1_arytm_2) <=>  (? [B] :  (m1_subset_1(B, k5_arytm_3) &  (A=a_1_0_arytm_2(B) &  ~ (B=k11_arytm_3) ) ) ) ) ) ).
fof(fraenkel_a_1_0_arytm_2, axiom,  (! [A, B] :  (m1_subset_1(B, k5_arytm_3) =>  (r2_hidden(A, a_1_0_arytm_2(B)) <=>  (? [C] :  (m1_subset_1(C, k5_arytm_3) &  (A=C &  ~ (r3_arytm_3(B, C)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_arytm_2, axiom,  (! [A, B, C] :  ( (m2_subset_1(B, k1_zfmisc_1(k5_arytm_3), k1_arytm_2) & m2_subset_1(C, k1_zfmisc_1(k5_arytm_3), k1_arytm_2))  =>  (r2_hidden(A, a_2_0_arytm_2(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, k5_arytm_3) & m1_subset_1(E, k5_arytm_3))  &  (A=k9_arytm_3(D, E) &  (r2_tarski(D, B) & r2_tarski(E, C)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_arytm_2, axiom,  (! [A, B, C] :  ( (m2_subset_1(B, k1_zfmisc_1(k5_arytm_3), k1_arytm_2) & m2_subset_1(C, k1_zfmisc_1(k5_arytm_3), k1_arytm_2))  =>  (r2_hidden(A, a_2_1_arytm_2(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, k5_arytm_3) & m1_subset_1(E, k5_arytm_3))  &  (A=k10_arytm_3(D, E) &  (r2_tarski(D, B) & r2_tarski(E, C)) ) ) ) ) ) ) ).
fof(fc1_arytm_3, axiom,  (! [A, B] :  ( ( (v3_ordinal1(A) & v7_ordinal1(A))  &  (v3_ordinal1(B) & v7_ordinal1(B)) )  =>  (v3_ordinal1(k6_ordinal3(A, B)) & v7_ordinal1(k6_ordinal3(A, B))) ) ) ).
fof(fc2_arytm_3, axiom,  (! [A, B] :  ( ( (v3_ordinal1(A) & v7_ordinal1(A))  &  (v3_ordinal1(B) & v7_ordinal1(B)) )  =>  (v3_ordinal1(k7_ordinal3(A, B)) & v7_ordinal1(k7_ordinal3(A, B))) ) ) ).
fof(fc3_arytm_3, axiom,  ~ (v1_xboole_0(k5_arytm_3)) ).
fof(rc1_arytm_3, axiom,  (? [A] :  (m1_subset_1(A, k5_arytm_3) &  ( ~ (v1_xboole_0(A))  & v3_ordinal1(A)) ) ) ).
fof(cc1_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (v3_ordinal1(A) =>  (v3_ordinal1(A) & v7_ordinal1(A)) ) ) ) ).
fof(rc2_arytm_3, axiom,  (? [A] :  (m1_subset_1(A, k5_arytm_3) & v1_xboole_0(A)) ) ).
fof(d1_arytm_3, axiom, k1_arytm_3=1).
fof(d2_arytm_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (r1_arytm_3(A, B) <=>  (! [C] :  (v3_ordinal1(C) =>  (! [D] :  (v3_ordinal1(D) =>  (! [E] :  (v3_ordinal1(E) =>  ( (A=k11_ordinal2(C, D) & B=k11_ordinal2(C, E))  => C=1) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_arytm_3, axiom,  ~ (r1_arytm_3(k1_xboole_0, k1_xboole_0)) ).
fof(t2_arytm_3, axiom,  (! [A] :  (v3_ordinal1(A) => r1_arytm_3(1, A)) ) ).
fof(t3_arytm_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (r1_arytm_3(k1_xboole_0, A) => A=1) ) ) ).
fof(t4_arytm_3, axiom,  (! [A] :  ( (v3_ordinal1(A) & v7_ordinal1(A))  =>  (! [B] :  ( (v3_ordinal1(B) & v7_ordinal1(B))  =>  ~ ( ( ~ ( (A=k1_xboole_0 & B=k1_xboole_0) )  &  (! [C] :  ( (v3_ordinal1(C) & v7_ordinal1(C))  =>  (! [D] :  ( (v3_ordinal1(D) & v7_ordinal1(D))  =>  (! [E] :  ( (v3_ordinal1(E) & v7_ordinal1(E))  =>  ~ ( (r1_arytm_3(D, E) &  (A=k9_ordinal3(C, D) & B=k9_ordinal3(C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_arytm_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (r2_arytm_3(A, B) <=>  (? [C] :  (v3_ordinal1(C) & B=k11_ordinal2(A, C)) ) ) ) ) ) ) ).
fof(t5_arytm_3, axiom,  (! [A] :  ( (v3_ordinal1(A) & v7_ordinal1(A))  =>  (! [B] :  ( (v3_ordinal1(B) & v7_ordinal1(B))  =>  (r2_arytm_3(A, B) <=>  (? [C] :  ( (v3_ordinal1(C) & v7_ordinal1(C))  & B=k9_ordinal3(A, C)) ) ) ) ) ) ) ).
fof(t6_arytm_3, axiom,  (! [A] :  ( (v3_ordinal1(A) & v7_ordinal1(A))  =>  (! [B] :  ( (v3_ordinal1(B) & v7_ordinal1(B))  =>  (r2_tarski(k1_xboole_0, A) => r2_tarski(k7_ordinal3(B, A), A)) ) ) ) ) ).
fof(t7_arytm_3, axiom,  (! [A] :  ( (v3_ordinal1(A) & v7_ordinal1(A))  =>  (! [B] :  ( (v3_ordinal1(B) & v7_ordinal1(B))  =>  (r2_arytm_3(B, A) <=> A=k9_ordinal3(B, k6_ordinal3(A, B))) ) ) ) ) ).
fof(t8_arytm_3, axiom,  (! [A] :  ( (v3_ordinal1(A) & v7_ordinal1(A))  =>  (! [B] :  ( (v3_ordinal1(B) & v7_ordinal1(B))  =>  ( (r2_arytm_3(A, B) & r2_arytm_3(B, A))  => A=B) ) ) ) ) ).
fof(t9_arytm_3, axiom,  (! [A] :  ( (v3_ordinal1(A) & v7_ordinal1(A))  =>  (r2_arytm_3(A, k1_xboole_0) & r2_arytm_3(1, A)) ) ) ).
fof(t10_arytm_3, axiom,  (! [A] :  ( (v3_ordinal1(A) & v7_ordinal1(A))  =>  (! [B] :  ( (v3_ordinal1(B) & v7_ordinal1(B))  =>  ( (r2_tarski(k1_xboole_0, B) & r2_arytm_3(A, B))  => r1_ordinal1(A, B)) ) ) ) ) ).
fof(t11_arytm_3, axiom,  (! [A] :  ( (v3_ordinal1(A) & v7_ordinal1(A))  =>  (! [B] :  ( (v3_ordinal1(B) & v7_ordinal1(B))  =>  (! [C] :  ( (v3_ordinal1(C) & v7_ordinal1(C))  =>  ( (r2_arytm_3(A, B) & r2_arytm_3(A, k8_ordinal3(B, C)))  => r2_arytm_3(A, C)) ) ) ) ) ) ) ).
fof(d4_arytm_3, axiom,  (! [A] :  ( (v3_ordinal1(A) & v7_ordinal1(A))  =>  (! [B] :  ( (v3_ordinal1(B) & v7_ordinal1(B))  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (C=k2_arytm_3(A, B) <=>  (r2_arytm_3(A, C) &  (r2_arytm_3(B, C) &  (! [D] :  ( (v3_ordinal1(D) & v7_ordinal1(D))  =>  ( (r2_arytm_3(A, D) & r2_arytm_3(B, D))  => r2_arytm_3(C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_arytm_3, axiom,  (! [A] :  ( (v3_ordinal1(A) & v7_ordinal1(A))  =>  (! [B] :  ( (v3_ordinal1(B) & v7_ordinal1(B))  => r2_arytm_3(k2_arytm_3(A, B), k9_ordinal3(A, B))) ) ) ) ).
fof(t13_arytm_3, axiom,  (! [A] :  ( (v3_ordinal1(A) & v7_ordinal1(A))  =>  (! [B] :  ( (v3_ordinal1(B) & v7_ordinal1(B))  =>  ( ~ (B=k1_xboole_0)  => r2_arytm_3(k6_ordinal3(k9_ordinal3(A, B), k2_arytm_3(A, B)), A)) ) ) ) ) ).
fof(d5_arytm_3, axiom,  (! [A] :  ( (v3_ordinal1(A) & v7_ordinal1(A))  =>  (! [B] :  ( (v3_ordinal1(B) & v7_ordinal1(B))  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (C=k3_arytm_3(A, B) <=>  (r2_arytm_3(C, A) &  (r2_arytm_3(C, B) &  (! [D] :  ( (v3_ordinal1(D) & v7_ordinal1(D))  =>  ( (r2_arytm_3(D, A) & r2_arytm_3(D, B))  => r2_arytm_3(D, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_arytm_3, axiom,  (! [A] :  ( (v3_ordinal1(A) & v7_ordinal1(A))  =>  (k3_arytm_3(A, k1_xboole_0)=A & k2_arytm_3(A, k1_xboole_0)=k1_xboole_0) ) ) ).
fof(t15_arytm_3, axiom,  (! [A] :  ( (v3_ordinal1(A) & v7_ordinal1(A))  =>  (! [B] :  ( (v3_ordinal1(B) & v7_ordinal1(B))  =>  (k3_arytm_3(A, B)=k1_xboole_0 => A=k1_xboole_0) ) ) ) ) ).
fof(t16_arytm_3, axiom,  (! [A] :  ( (v3_ordinal1(A) & v7_ordinal1(A))  =>  (k3_arytm_3(A, A)=A & k2_arytm_3(A, A)=A) ) ) ).
fof(t17_arytm_3, axiom,  (! [A] :  ( (v3_ordinal1(A) & v7_ordinal1(A))  =>  (! [B] :  ( (v3_ordinal1(B) & v7_ordinal1(B))  =>  (! [C] :  ( (v3_ordinal1(C) & v7_ordinal1(C))  => k3_arytm_3(k9_ordinal3(A, C), k9_ordinal3(B, C))=k9_ordinal3(k3_arytm_3(A, B), C)) ) ) ) ) ) ).
fof(t18_arytm_3, axiom,  (! [A] :  ( (v3_ordinal1(A) & v7_ordinal1(A))  =>  (! [B] :  ( (v3_ordinal1(B) & v7_ordinal1(B))  =>  ( ~ (B=k1_xboole_0)  =>  ( ~ (k3_arytm_3(A, B)=k1_xboole_0)  &  ~ (k6_ordinal3(B, k3_arytm_3(A, B))=k1_xboole_0) ) ) ) ) ) ) ).
fof(t19_arytm_3, axiom,  (! [A] :  ( (v3_ordinal1(A) & v7_ordinal1(A))  =>  (! [B] :  ( (v3_ordinal1(B) & v7_ordinal1(B))  =>  ( ~ ( (A=k1_xboole_0 & B=k1_xboole_0) )  => r1_arytm_3(k6_ordinal3(A, k3_arytm_3(A, B)), k6_ordinal3(B, k3_arytm_3(A, B)))) ) ) ) ) ).
fof(t20_arytm_3, axiom,  (! [A] :  ( (v3_ordinal1(A) & v7_ordinal1(A))  =>  (! [B] :  ( (v3_ordinal1(B) & v7_ordinal1(B))  =>  (r1_arytm_3(A, B) <=> k3_arytm_3(A, B)=1) ) ) ) ) ).
fof(d6_arytm_3, axiom,  (! [A] :  ( (v3_ordinal1(A) & v7_ordinal1(A))  =>  (! [B] :  ( (v3_ordinal1(B) & v7_ordinal1(B))  => k4_arytm_3(A, B)=k6_ordinal3(A, k3_arytm_3(A, B))) ) ) ) ).
fof(t21_arytm_3, axiom,  (! [A] :  ( (v3_ordinal1(A) & v7_ordinal1(A))  =>  (! [B] :  ( (v3_ordinal1(B) & v7_ordinal1(B))  => k9_ordinal3(k4_arytm_3(A, B), k3_arytm_3(A, B))=A) ) ) ) ).
fof(t22_arytm_3, axiom,  (! [A] :  ( (v3_ordinal1(A) & v7_ordinal1(A))  =>  (! [B] :  ( (v3_ordinal1(B) & v7_ordinal1(B))  =>  ( ~ ( (A=k1_xboole_0 & B=k1_xboole_0) )  => r1_arytm_3(k4_arytm_3(A, B), k4_arytm_3(B, A))) ) ) ) ) ).
fof(t23_arytm_3, axiom,  (! [A] :  ( (v3_ordinal1(A) & v7_ordinal1(A))  =>  (! [B] :  ( (v3_ordinal1(B) & v7_ordinal1(B))  =>  (r1_arytm_3(A, B) => k4_arytm_3(A, B)=A) ) ) ) ) ).
fof(t24_arytm_3, axiom,  (! [A] :  ( (v3_ordinal1(A) & v7_ordinal1(A))  =>  (k4_arytm_3(A, 1)=A & k4_arytm_3(1, A)=1) ) ) ).
fof(t25_arytm_3, axiom,  (! [A] :  ( (v3_ordinal1(A) & v7_ordinal1(A))  =>  (! [B] :  ( (v3_ordinal1(B) & v7_ordinal1(B))  =>  ~ ( ( ~ (B=k1_xboole_0)  & k4_arytm_3(B, A)=k1_xboole_0) ) ) ) ) ) ).
fof(t26_arytm_3, axiom,  (! [A] :  ( (v3_ordinal1(A) & v7_ordinal1(A))  =>  (k4_arytm_3(k1_xboole_0, A)=k1_xboole_0 &  ( ~ (A=k1_xboole_0)  => k4_arytm_3(A, k1_xboole_0)=1) ) ) ) ).
fof(t27_arytm_3, axiom,  (! [A] :  ( (v3_ordinal1(A) & v7_ordinal1(A))  =>  ( ~ (A=k1_xboole_0)  => k4_arytm_3(A, A)=1) ) ) ).
fof(t28_arytm_3, axiom,  (! [A] :  ( (v3_ordinal1(A) & v7_ordinal1(A))  =>  (! [B] :  ( (v3_ordinal1(B) & v7_ordinal1(B))  =>  (! [C] :  ( (v3_ordinal1(C) & v7_ordinal1(C))  =>  ( ~ (C=k1_xboole_0)  => k4_arytm_3(k9_ordinal3(A, C), k9_ordinal3(B, C))=k4_arytm_3(A, B)) ) ) ) ) ) ) ).
fof(t29_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  ~ ( ( ~ (r2_tarski(A, k4_ordinal1))  &  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ ( (A=k4_tarski(B, C) &  (r1_arytm_3(B, C) &  ( ~ (C=k1_xboole_0)  &  ~ (C=1) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_arytm_3, axiom,  (! [A] :  (! [B] :  ~ (v3_ordinal1(k4_tarski(A, B))) ) ) ).
fof(t31_arytm_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (r2_tarski(A, k5_arytm_3) => r2_tarski(A, k4_ordinal1)) ) ) ).
fof(t32_arytm_3, axiom,  (! [A] :  (! [B] :  ~ (r2_hidden(k4_tarski(A, B), k4_ordinal1)) ) ) ).
fof(t33_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (r2_hidden(k4_tarski(A, B), k5_arytm_3) <=>  (r1_arytm_3(A, B) &  ( ~ (B=k1_xboole_0)  &  ~ (B=1) ) ) ) ) ) ) ) ).
fof(d8_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ( (r2_tarski(A, k4_ordinal1) =>  (B=k6_arytm_3(A) <=> B=A) )  &  ( ~ (r2_tarski(A, k4_ordinal1))  =>  (B=k6_arytm_3(A) <=>  (? [C] :  ( (v3_ordinal1(C) & v7_ordinal1(C))  & A=k4_tarski(B, C)) ) ) ) ) ) ) ) ) ).
fof(d9_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ( (r2_tarski(A, k4_ordinal1) =>  (B=k7_arytm_3(A) <=> B=1) )  &  ( ~ (r2_tarski(A, k4_ordinal1))  =>  (B=k7_arytm_3(A) <=>  (? [C] :  ( (v3_ordinal1(C) & v7_ordinal1(C))  & A=k4_tarski(C, B)) ) ) ) ) ) ) ) ) ).
fof(t34_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) => r1_arytm_3(k6_arytm_3(A), k7_arytm_3(A))) ) ).
fof(t35_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  ~ (k7_arytm_3(A)=k1_xboole_0) ) ) ).
fof(t36_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  ( ~ (r2_tarski(A, k4_ordinal1))  =>  (A=k4_tarski(k6_arytm_3(A), k7_arytm_3(A)) &  ~ (k7_arytm_3(A)=1) ) ) ) ) ).
fof(t37_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  ( ~ ( ( ~ (A=k1_xboole_0)  & k6_arytm_3(A)=k1_xboole_0) )  &  ~ ( ( ~ (k6_arytm_3(A)=k1_xboole_0)  & A=k1_xboole_0) ) ) ) ) ).
fof(t38_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (r2_tarski(A, k4_ordinal1) <=> k7_arytm_3(A)=1) ) ) ).
fof(d10_arytm_3, axiom,  (! [A] :  ( (v3_ordinal1(A) & v7_ordinal1(A))  =>  (! [B] :  ( (v3_ordinal1(B) & v7_ordinal1(B))  =>  ( (B=k1_xboole_0 => k8_arytm_3(A, B)=k1_xboole_0)  &  ( (k4_arytm_3(B, A)=1 => k8_arytm_3(A, B)=k4_arytm_3(A, B))  &  ~ ( ( ~ (B=k1_xboole_0)  &  ( ~ (k4_arytm_3(B, A)=1)  &  ~ (k8_arytm_3(A, B)=k4_tarski(k4_arytm_3(A, B), k4_arytm_3(B, A))) ) ) ) ) ) ) ) ) ) ).
fof(t39_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) => k8_arytm_3(k6_arytm_3(A), k7_arytm_3(A))=A) ) ).
fof(t40_arytm_3, axiom,  (! [A] :  ( (v3_ordinal1(A) & v7_ordinal1(A))  =>  (! [B] :  ( (v3_ordinal1(B) & v7_ordinal1(B))  =>  (k8_arytm_3(k1_xboole_0, B)=k1_xboole_0 & k8_arytm_3(A, 1)=A) ) ) ) ) ).
fof(t41_arytm_3, axiom,  (! [A] :  ( (v3_ordinal1(A) & v7_ordinal1(A))  =>  ( ~ (A=k1_xboole_0)  => k8_arytm_3(A, A)=1) ) ) ).
fof(t42_arytm_3, axiom,  (! [A] :  ( (v3_ordinal1(A) & v7_ordinal1(A))  =>  (! [B] :  ( (v3_ordinal1(B) & v7_ordinal1(B))  =>  ( ~ (B=k1_xboole_0)  =>  (k6_arytm_3(k8_arytm_3(A, B))=k4_arytm_3(A, B) & k7_arytm_3(k8_arytm_3(A, B))=k4_arytm_3(B, A)) ) ) ) ) ) ).
fof(t43_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (r1_arytm_3(A, B) =>  (B=k1_xboole_0 |  (k6_arytm_3(k8_arytm_3(A, B))=A & k7_arytm_3(k8_arytm_3(A, B))=B) ) ) ) ) ) ) ).
fof(t44_arytm_3, axiom,  (! [A] :  ( (v3_ordinal1(A) & v7_ordinal1(A))  =>  (! [B] :  ( (v3_ordinal1(B) & v7_ordinal1(B))  =>  (! [C] :  ( (v3_ordinal1(C) & v7_ordinal1(C))  =>  ( ~ (C=k1_xboole_0)  => k8_arytm_3(k9_ordinal3(A, C), k9_ordinal3(B, C))=k8_arytm_3(A, B)) ) ) ) ) ) ) ).
fof(t45_arytm_3, axiom,  (! [A] :  ( (v3_ordinal1(A) & v7_ordinal1(A))  =>  (! [B] :  ( (v3_ordinal1(B) & v7_ordinal1(B))  =>  (! [C] :  ( (v3_ordinal1(C) & v7_ordinal1(C))  =>  (! [D] :  ( (v3_ordinal1(D) & v7_ordinal1(D))  =>  ~ ( ( ~ (C=k1_xboole_0)  &  ( ~ (A=k1_xboole_0)  &  ~ ( (k8_arytm_3(B, C)=k8_arytm_3(D, A) <=> k9_ordinal3(B, A)=k9_ordinal3(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (! [B] :  (m1_subset_1(B, k5_arytm_3) => k9_arytm_3(A, B)=k8_arytm_3(k8_ordinal3(k9_ordinal3(k6_arytm_3(A), k7_arytm_3(B)), k9_ordinal3(k6_arytm_3(B), k7_arytm_3(A))), k9_ordinal3(k7_arytm_3(A), k7_arytm_3(B)))) ) ) ) ).
fof(d12_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (! [B] :  (m1_subset_1(B, k5_arytm_3) => k10_arytm_3(A, B)=k8_arytm_3(k9_ordinal3(k6_arytm_3(A), k6_arytm_3(B)), k9_ordinal3(k7_arytm_3(A), k7_arytm_3(B)))) ) ) ) ).
fof(t46_arytm_3, axiom,  (! [A] :  ( (v3_ordinal1(A) & v7_ordinal1(A))  =>  (! [B] :  ( (v3_ordinal1(B) & v7_ordinal1(B))  =>  (! [C] :  ( (v3_ordinal1(C) & v7_ordinal1(C))  =>  (! [D] :  ( (v3_ordinal1(D) & v7_ordinal1(D))  =>  ~ ( ( ~ (C=k1_xboole_0)  &  ( ~ (A=k1_xboole_0)  &  ~ (k9_arytm_3(k8_arytm_3(B, C), k8_arytm_3(D, A))=k8_arytm_3(k8_ordinal3(k9_ordinal3(B, A), k9_ordinal3(C, D)), k9_ordinal3(C, A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_arytm_3, axiom,  (! [A] :  ( (v3_ordinal1(A) & v7_ordinal1(A))  =>  (! [B] :  ( (v3_ordinal1(B) & v7_ordinal1(B))  =>  (! [C] :  ( (v3_ordinal1(C) & v7_ordinal1(C))  =>  ( ~ (C=k1_xboole_0)  => k9_arytm_3(k8_arytm_3(A, C), k8_arytm_3(B, C))=k8_arytm_3(k8_ordinal3(A, B), C)) ) ) ) ) ) ) ).
fof(t48_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) => k10_arytm_3(A, k11_arytm_3)=k11_arytm_3) ) ).
fof(t49_arytm_3, axiom,  (! [A] :  ( (v3_ordinal1(A) & v7_ordinal1(A))  =>  (! [B] :  ( (v3_ordinal1(B) & v7_ordinal1(B))  =>  (! [C] :  ( (v3_ordinal1(C) & v7_ordinal1(C))  =>  (! [D] :  ( (v3_ordinal1(D) & v7_ordinal1(D))  => k10_arytm_3(k8_arytm_3(B, C), k8_arytm_3(D, A))=k8_arytm_3(k9_ordinal3(B, D), k9_ordinal3(C, A))) ) ) ) ) ) ) ) ).
fof(t50_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) => k9_arytm_3(A, k11_arytm_3)=A) ) ).
fof(t51_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (! [B] :  (m1_subset_1(B, k5_arytm_3) =>  (! [C] :  (m1_subset_1(C, k5_arytm_3) => k9_arytm_3(k9_arytm_3(A, B), C)=k9_arytm_3(A, k9_arytm_3(B, C))) ) ) ) ) ) ).
fof(t52_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (! [B] :  (m1_subset_1(B, k5_arytm_3) =>  (! [C] :  (m1_subset_1(C, k5_arytm_3) => k10_arytm_3(k10_arytm_3(A, B), C)=k10_arytm_3(A, k10_arytm_3(B, C))) ) ) ) ) ) ).
fof(t53_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) => k10_arytm_3(A, k12_arytm_3)=A) ) ).
fof(t54_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  ~ ( ( ~ (A=k11_arytm_3)  &  (! [B] :  (m1_subset_1(B, k5_arytm_3) =>  ~ (k10_arytm_3(A, B)=1) ) ) ) ) ) ) ).
fof(t55_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (! [B] :  (m1_subset_1(B, k5_arytm_3) =>  ~ ( ( ~ (A=k11_arytm_3)  &  (! [C] :  (m1_subset_1(C, k5_arytm_3) =>  ~ (B=k10_arytm_3(A, C)) ) ) ) ) ) ) ) ) ).
fof(t56_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (! [B] :  (m1_subset_1(B, k5_arytm_3) =>  (! [C] :  (m1_subset_1(C, k5_arytm_3) =>  (k10_arytm_3(A, B)=k10_arytm_3(A, C) =>  (A=k11_arytm_3 | B=C) ) ) ) ) ) ) ) ).
fof(t57_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (! [B] :  (m1_subset_1(B, k5_arytm_3) =>  (! [C] :  (m1_subset_1(C, k5_arytm_3) => k10_arytm_3(A, k9_arytm_3(B, C))=k9_arytm_3(k10_arytm_3(A, B), k10_arytm_3(A, C))) ) ) ) ) ) ).
fof(t58_arytm_3, axiom,  (! [A] :  ( (v3_ordinal1(A) & m1_subset_1(A, k5_arytm_3))  =>  (! [B] :  ( (v3_ordinal1(B) & m1_subset_1(B, k5_arytm_3))  => k9_arytm_3(A, B)=k8_ordinal3(A, B)) ) ) ) ).
fof(t59_arytm_3, axiom,  (! [A] :  ( (v3_ordinal1(A) & m1_subset_1(A, k5_arytm_3))  =>  (! [B] :  ( (v3_ordinal1(B) & m1_subset_1(B, k5_arytm_3))  => k10_arytm_3(A, B)=k9_ordinal3(A, B)) ) ) ) ).
fof(t60_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (? [B] :  (m1_subset_1(B, k5_arytm_3) & A=k9_arytm_3(B, B)) ) ) ) ).
fof(d13_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (! [B] :  (m1_subset_1(B, k5_arytm_3) =>  (r3_arytm_3(A, B) <=>  (? [C] :  (m1_subset_1(C, k5_arytm_3) & B=k9_arytm_3(A, C)) ) ) ) ) ) ) ).
fof(t61_arytm_3, axiom,  (! [A] :  ~ (r2_hidden(k4_tarski(k11_arytm_3, A), k5_arytm_3)) ) ).
fof(t62_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (! [B] :  (m1_subset_1(B, k5_arytm_3) =>  (! [C] :  (m1_subset_1(C, k5_arytm_3) =>  (k9_arytm_3(B, C)=k9_arytm_3(A, C) => B=A) ) ) ) ) ) ) ).
fof(t63_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (! [B] :  (m1_subset_1(B, k5_arytm_3) =>  (k9_arytm_3(A, B)=k11_arytm_3 => A=k11_arytm_3) ) ) ) ) ).
fof(t64_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) => r3_arytm_3(k11_arytm_3, A)) ) ).
fof(t65_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (r3_arytm_3(A, k11_arytm_3) => A=k11_arytm_3) ) ) ).
fof(t66_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (! [B] :  (m1_subset_1(B, k5_arytm_3) =>  ( (r3_arytm_3(A, B) & r3_arytm_3(B, A))  => A=B) ) ) ) ) ).
fof(t67_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (! [B] :  (m1_subset_1(B, k5_arytm_3) =>  (! [C] :  (m1_subset_1(C, k5_arytm_3) =>  ( (r3_arytm_3(A, B) & r3_arytm_3(B, C))  => r3_arytm_3(A, C)) ) ) ) ) ) ) ).
fof(t68_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (! [B] :  (m1_subset_1(B, k5_arytm_3) =>  ( ~ (r3_arytm_3(B, A))  <=>  (r3_arytm_3(A, B) &  ~ (A=B) ) ) ) ) ) ) ).
fof(t69_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (! [B] :  (m1_subset_1(B, k5_arytm_3) =>  (! [C] :  (m1_subset_1(C, k5_arytm_3) =>  ~ ( ( ( ( ~ (r3_arytm_3(B, A))  & r3_arytm_3(B, C))  |  (r3_arytm_3(A, B) &  ~ (r3_arytm_3(C, B)) ) )  & r3_arytm_3(C, A)) ) ) ) ) ) ) ) ).
fof(t70_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (! [B] :  (m1_subset_1(B, k5_arytm_3) =>  (! [C] :  (m1_subset_1(C, k5_arytm_3) =>  ~ ( ( ~ (r3_arytm_3(B, A))  &  ( ~ (r3_arytm_3(C, B))  & r3_arytm_3(C, A)) ) ) ) ) ) ) ) ) ).
fof(t71_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (! [B] :  (m1_subset_1(B, k5_arytm_3) =>  ( (r2_tarski(A, k4_ordinal1) & r2_tarski(k9_arytm_3(A, B), k4_ordinal1))  => r2_tarski(B, k4_ordinal1)) ) ) ) ) ).
fof(t72_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (! [B] :  ( (v3_ordinal1(B) & m1_subset_1(B, k5_arytm_3))  =>  ~ ( ( ~ (r3_arytm_3(A, B))  &  ( ~ (r3_arytm_3(k9_arytm_3(B, k12_arytm_3), A))  & r2_tarski(A, k4_ordinal1)) ) ) ) ) ) ) ).
fof(t73_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  ~ ( ( ~ (A=k11_arytm_3)  &  (! [B] :  (m1_subset_1(B, k5_arytm_3) =>  ~ ( ( ~ (r3_arytm_3(A, B))  &  ~ (r2_tarski(B, k4_ordinal1)) ) ) ) ) ) ) ) ) ).
fof(t75_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k5_arytm_3)) =>  ~ ( ( (? [B] :  (m1_subset_1(B, k5_arytm_3) &  (r2_tarski(B, A) &  ~ (B=k11_arytm_3) ) ) )  &  ( (! [B] :  (m1_subset_1(B, k5_arytm_3) =>  (! [C] :  (m1_subset_1(C, k5_arytm_3) =>  ( (r2_tarski(B, A) & r3_arytm_3(C, B))  => r2_tarski(C, A)) ) ) ) )  &  (! [B] :  (m1_subset_1(B, k5_arytm_3) =>  (! [C] :  (m1_subset_1(C, k5_arytm_3) =>  (! [D] :  (m1_subset_1(D, k5_arytm_3) =>  ~ ( (r2_tarski(B, A) &  (r2_tarski(C, A) &  (r2_tarski(D, A) &  ( ~ (B=C)  &  ( ~ (C=D)  &  ~ (D=B) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t76_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (! [B] :  (m1_subset_1(B, k5_arytm_3) =>  (! [C] :  (m1_subset_1(C, k5_arytm_3) =>  (r3_arytm_3(k9_arytm_3(B, C), k9_arytm_3(A, C)) <=> r3_arytm_3(B, A)) ) ) ) ) ) ) ).
fof(t77_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (! [B] :  (m1_subset_1(B, k5_arytm_3) => r3_arytm_3(A, k9_arytm_3(A, B))) ) ) ) ).
fof(t78_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (! [B] :  (m1_subset_1(B, k5_arytm_3) =>  ~ ( (k10_arytm_3(A, B)=k11_arytm_3 &  ( ~ (A=k11_arytm_3)  &  ~ (B=k11_arytm_3) ) ) ) ) ) ) ) ).
fof(t79_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (! [B] :  (m1_subset_1(B, k5_arytm_3) =>  (! [C] :  (m1_subset_1(C, k5_arytm_3) =>  ~ ( (r3_arytm_3(A, k10_arytm_3(B, C)) &  (! [D] :  (m1_subset_1(D, k5_arytm_3) =>  ~ ( (A=k10_arytm_3(B, D) & r3_arytm_3(D, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t80_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (! [B] :  (m1_subset_1(B, k5_arytm_3) =>  (! [C] :  (m1_subset_1(C, k5_arytm_3) =>  (r3_arytm_3(k10_arytm_3(B, C), k10_arytm_3(A, C)) =>  (C=k11_arytm_3 | r3_arytm_3(B, A)) ) ) ) ) ) ) ) ).
fof(t81_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (! [B] :  (m1_subset_1(B, k5_arytm_3) =>  (! [C] :  (m1_subset_1(C, k5_arytm_3) =>  (! [D] :  (m1_subset_1(D, k5_arytm_3) =>  ~ ( (k9_arytm_3(A, B)=k9_arytm_3(C, D) &  ( ~ (r3_arytm_3(A, C))  &  ~ (r3_arytm_3(B, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t82_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (! [B] :  (m1_subset_1(B, k5_arytm_3) =>  (! [C] :  (m1_subset_1(C, k5_arytm_3) =>  (r3_arytm_3(B, A) => r3_arytm_3(k10_arytm_3(B, C), k10_arytm_3(A, C))) ) ) ) ) ) ) ).
fof(t83_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (! [B] :  (m1_subset_1(B, k5_arytm_3) =>  (! [C] :  (m1_subset_1(C, k5_arytm_3) =>  (! [D] :  (m1_subset_1(D, k5_arytm_3) =>  ~ ( (k10_arytm_3(A, B)=k10_arytm_3(C, D) &  ( ~ (r3_arytm_3(A, C))  &  ~ (r3_arytm_3(B, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t84_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (! [B] :  (m1_subset_1(B, k5_arytm_3) =>  (A=k11_arytm_3 <=> k9_arytm_3(A, B)=B) ) ) ) ) ).
fof(t85_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (! [B] :  (m1_subset_1(B, k5_arytm_3) =>  (! [C] :  (m1_subset_1(C, k5_arytm_3) =>  (! [D] :  (m1_subset_1(D, k5_arytm_3) =>  ( (k9_arytm_3(A, B)=k9_arytm_3(C, D) & r3_arytm_3(A, C))  => r3_arytm_3(D, B)) ) ) ) ) ) ) ) ) ).
fof(t86_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (! [B] :  (m1_subset_1(B, k5_arytm_3) =>  (! [C] :  (m1_subset_1(C, k5_arytm_3) =>  ~ ( (r3_arytm_3(A, B) &  (r3_arytm_3(B, k9_arytm_3(A, C)) &  (! [D] :  (m1_subset_1(D, k5_arytm_3) =>  ~ ( (B=k9_arytm_3(A, D) & r3_arytm_3(D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t87_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (! [B] :  (m1_subset_1(B, k5_arytm_3) =>  (! [C] :  (m1_subset_1(C, k5_arytm_3) =>  ~ ( (r3_arytm_3(A, k9_arytm_3(B, C)) &  (! [D] :  (m1_subset_1(D, k5_arytm_3) =>  (! [E] :  (m1_subset_1(E, k5_arytm_3) =>  ~ ( (A=k9_arytm_3(D, E) &  (r3_arytm_3(D, B) & r3_arytm_3(E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t88_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (! [B] :  (m1_subset_1(B, k5_arytm_3) =>  (! [C] :  (m1_subset_1(C, k5_arytm_3) =>  ~ ( ( ~ (r3_arytm_3(B, A))  &  ( ~ (r3_arytm_3(C, A))  &  (! [D] :  (m1_subset_1(D, k5_arytm_3) =>  ~ ( (r3_arytm_3(D, B) &  (r3_arytm_3(D, C) &  ~ (r3_arytm_3(D, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t89_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (! [B] :  (m1_subset_1(B, k5_arytm_3) =>  (! [C] :  (m1_subset_1(C, k5_arytm_3) =>  ~ ( (r3_arytm_3(A, B) &  (r3_arytm_3(B, C) &  ( ~ (B=C)  & A=C) ) ) ) ) ) ) ) ) ) ).
fof(t90_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (! [B] :  (m1_subset_1(B, k5_arytm_3) =>  (! [C] :  (m1_subset_1(C, k5_arytm_3) =>  ~ ( ( ~ (r3_arytm_3(k9_arytm_3(A, C), B))  &  ( ~ (C=k11_arytm_3)  &  (! [D] :  (m1_subset_1(D, k5_arytm_3) =>  (! [E] :  (m1_subset_1(E, k5_arytm_3) =>  ~ ( (B=k9_arytm_3(D, E) &  (r3_arytm_3(D, A) &  (r3_arytm_3(E, C) &  ~ (E=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t91_arytm_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k5_arytm_3)))  =>  ~ ( (r2_tarski(A, k5_arytm_3) &  (! [B] :  (m1_subset_1(B, k5_arytm_3) =>  ~ ( (r2_tarski(B, A) &  (! [C] :  (m1_subset_1(C, k5_arytm_3) =>  (r2_tarski(C, A) => r3_arytm_3(C, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t92_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (! [B] :  (m1_subset_1(B, k5_arytm_3) =>  ~ ( (! [C] :  (m1_subset_1(C, k5_arytm_3) =>  ( ~ (k9_arytm_3(A, C)=B)  &  ~ (k9_arytm_3(B, C)=A) ) ) ) ) ) ) ) ) ).
fof(t93_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (! [B] :  (m1_subset_1(B, k5_arytm_3) =>  ~ ( ( ~ (r3_arytm_3(B, A))  &  (! [C] :  (m1_subset_1(C, k5_arytm_3) =>  ~ ( ( ~ (r3_arytm_3(C, A))  &  ~ (r3_arytm_3(B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t94_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  ~ ( (! [B] :  (m1_subset_1(B, k5_arytm_3) => r3_arytm_3(B, A)) ) ) ) ) ).
fof(t95_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (! [B] :  (m1_subset_1(B, k5_arytm_3) =>  ~ ( ( ~ (B=k11_arytm_3)  &  (! [C] :  (m1_subset_1(C, k5_arytm_3) =>  ~ ( (r2_tarski(C, k4_ordinal1) & r3_arytm_3(A, k10_arytm_3(C, B))) ) ) ) ) ) ) ) ) ) ).
fof(s1_arytm_3, axiom,  ( (f2_s1_arytm_3=1 &  (f1_s1_arytm_3=k11_arytm_3 &  (r2_tarski(f3_s1_arytm_3, k4_ordinal1) &  (p1_s1_arytm_3(f1_s1_arytm_3) &  ~ (p1_s1_arytm_3(f3_s1_arytm_3)) ) ) ) )  =>  (? [A] :  (m1_subset_1(A, k5_arytm_3) &  (r2_tarski(A, k4_ordinal1) &  (p1_s1_arytm_3(A) &  ~ (p1_s1_arytm_3(k9_arytm_3(A, f2_s1_arytm_3))) ) ) ) ) ) ).
fof(symmetry_r1_arytm_3, axiom,  (! [A, B] :  ( (v3_ordinal1(A) & v3_ordinal1(B))  =>  (r1_arytm_3(A, B) => r1_arytm_3(B, A)) ) ) ).
fof(reflexivity_r2_arytm_3, axiom,  (! [A, B] :  ( (v3_ordinal1(A) & v3_ordinal1(B))  => r2_arytm_3(A, A)) ) ).
fof(dt_k2_arytm_3, axiom,  (! [A, B] :  ( ( (v3_ordinal1(A) & v7_ordinal1(A))  &  (v3_ordinal1(B) & v7_ordinal1(B)) )  => m1_subset_1(k2_arytm_3(A, B), k4_ordinal1)) ) ).
fof(commutativity_k2_arytm_3, axiom,  (! [A, B] :  ( ( (v3_ordinal1(A) & v7_ordinal1(A))  &  (v3_ordinal1(B) & v7_ordinal1(B)) )  => k2_arytm_3(A, B)=k2_arytm_3(B, A)) ) ).
fof(dt_k3_arytm_3, axiom,  (! [A, B] :  ( ( (v3_ordinal1(A) & v7_ordinal1(A))  &  (v3_ordinal1(B) & v7_ordinal1(B)) )  => m1_subset_1(k3_arytm_3(A, B), k4_ordinal1)) ) ).
fof(commutativity_k3_arytm_3, axiom,  (! [A, B] :  ( ( (v3_ordinal1(A) & v7_ordinal1(A))  &  (v3_ordinal1(B) & v7_ordinal1(B)) )  => k3_arytm_3(A, B)=k3_arytm_3(B, A)) ) ).
fof(dt_k4_arytm_3, axiom,  (! [A, B] :  ( ( (v3_ordinal1(A) & v7_ordinal1(A))  &  (v3_ordinal1(B) & v7_ordinal1(B)) )  => m1_subset_1(k4_arytm_3(A, B), k4_ordinal1)) ) ).
fof(dt_k6_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) => m1_subset_1(k6_arytm_3(A), k4_ordinal1)) ) ).
fof(dt_k7_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) => m1_subset_1(k7_arytm_3(A), k4_ordinal1)) ) ).
fof(dt_k8_arytm_3, axiom,  (! [A, B] :  ( ( (v3_ordinal1(A) & v7_ordinal1(A))  &  (v3_ordinal1(B) & v7_ordinal1(B)) )  => m1_subset_1(k8_arytm_3(A, B), k5_arytm_3)) ) ).
fof(dt_k9_arytm_3, axiom,  (! [A, B] :  ( (m1_subset_1(A, k5_arytm_3) & m1_subset_1(B, k5_arytm_3))  => m1_subset_1(k9_arytm_3(A, B), k5_arytm_3)) ) ).
fof(commutativity_k9_arytm_3, axiom,  (! [A, B] :  ( (m1_subset_1(A, k5_arytm_3) & m1_subset_1(B, k5_arytm_3))  => k9_arytm_3(A, B)=k9_arytm_3(B, A)) ) ).
fof(dt_k10_arytm_3, axiom,  (! [A, B] :  ( (m1_subset_1(A, k5_arytm_3) & m1_subset_1(B, k5_arytm_3))  => m1_subset_1(k10_arytm_3(A, B), k5_arytm_3)) ) ).
fof(commutativity_k10_arytm_3, axiom,  (! [A, B] :  ( (m1_subset_1(A, k5_arytm_3) & m1_subset_1(B, k5_arytm_3))  => k10_arytm_3(A, B)=k10_arytm_3(B, A)) ) ).
fof(dt_k11_arytm_3, axiom, m1_subset_1(k11_arytm_3, k5_arytm_3)).
fof(redefinition_k11_arytm_3, axiom, k11_arytm_3=k1_xboole_0).
fof(dt_k12_arytm_3, axiom,  ( ~ (v1_xboole_0(k12_arytm_3))  &  (v3_ordinal1(k12_arytm_3) & m1_subset_1(k12_arytm_3, k5_arytm_3)) ) ).
fof(redefinition_k12_arytm_3, axiom, k12_arytm_3=k1_arytm_3).
fof(connectedness_r3_arytm_3, axiom,  (! [A, B] :  ( (m1_subset_1(A, k5_arytm_3) & m1_subset_1(B, k5_arytm_3))  =>  (r3_arytm_3(A, B) | r3_arytm_3(B, A)) ) ) ).
fof(dt_f1_s1_arytm_3, axiom, m1_subset_1(f1_s1_arytm_3, k5_arytm_3)).
fof(dt_f2_s1_arytm_3, axiom, m1_subset_1(f2_s1_arytm_3, k5_arytm_3)).
fof(dt_f3_s1_arytm_3, axiom, m1_subset_1(f3_s1_arytm_3, k5_arytm_3)).
fof(d7_arytm_3, axiom, k5_arytm_3=k2_xboole_0(k6_subset_1(a_0_0_arytm_3, a_0_1_arytm_3), k4_ordinal1)).
fof(t74_arytm_3, axiom,  (! [A] :  (m1_subset_1(A, k5_arytm_3) =>  (r2_tarski(a_1_0_arytm_3(A), k5_arytm_3) <=> A=k11_arytm_3) ) ) ).
fof(fraenkel_a_0_0_arytm_3, axiom,  (! [A] :  (r2_hidden(A, a_0_0_arytm_3) <=>  (? [B, C] :  ( (m1_subset_1(B, k4_ordinal1) & m1_subset_1(C, k4_ordinal1))  &  (A=k4_tarski(B, C) &  (r1_arytm_3(B, C) &  ~ (C=k1_xboole_0) ) ) ) ) ) ) ).
fof(fraenkel_a_0_1_arytm_3, axiom,  (! [A] :  (r2_hidden(A, a_0_1_arytm_3) <=>  (? [B] :  (m1_subset_1(B, k4_ordinal1) & A=k4_tarski(B, 1)) ) ) ) ).
fof(fraenkel_a_1_0_arytm_3, axiom,  (! [A, B] :  (m1_subset_1(B, k5_arytm_3) =>  (r2_hidden(A, a_1_0_arytm_3(B)) <=>  (? [C] :  (m1_subset_1(C, k5_arytm_3) &  (A=C &  ~ (r3_arytm_3(B, C)) ) ) ) ) ) ) ).
fof(rc1_asympt_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v2_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc2_asympt_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v3_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc3_asympt_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v1_xreal_0(A) & v1_asympt_0(A)) ) ) ) ).
fof(rc4_asympt_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A)) ) ) ) ).
fof(rc5_asympt_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A)) ) ) ) ).
fof(rc6_asympt_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v1_xreal_0(A) &  ~ (v1_asympt_0(A)) ) ) ) ) ).
fof(rc7_asympt_0, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k1_numbers) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) &  (v2_asympt_0(A) &  (v3_asympt_0(A) &  (v4_asympt_0(A) &  (v5_asympt_0(A) & v6_asympt_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_asympt_0, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers))) =>  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & v3_asympt_0(A)) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & v4_asympt_0(A)) ) ) ) ) ).
fof(cc2_asympt_0, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers))) =>  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & v4_asympt_0(A)) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & v5_asympt_0(A)) ) ) ) ) ) ).
fof(cc3_asympt_0, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers))) =>  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & v5_asympt_0(A)) ) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & v4_asympt_0(A)) ) ) ) ) ).
fof(fc1_asympt_0, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (v1_funct_1(k5_asympt_0(A, B)) &  (v1_funct_2(k5_asympt_0(A, B), k4_ordinal1, k1_numbers) & v2_asympt_0(k5_asympt_0(A, B))) ) ) ) ).
fof(fc2_asympt_0, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v4_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (v1_funct_1(k5_asympt_0(A, B)) &  (v1_funct_2(k5_asympt_0(A, B), k4_ordinal1, k1_numbers) & v4_asympt_0(k5_asympt_0(A, B))) ) ) ) ).
fof(d1_asympt_0, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_asympt_0(A) <=>  ( ~ (r1_xxreal_0(A, k5_numbers))  &  ~ (A=1) ) ) ) ) ).
fof(d2_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v2_asympt_0(A) <=>  (? [B] :  (v7_ordinal1(B) &  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, C) => r1_xxreal_0(k5_numbers, k8_nat_1(k1_numbers, A, C))) ) ) ) ) ) ) ) ).
fof(d3_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v3_asympt_0(A) <=>  (! [B] :  (v7_ordinal1(B) =>  ~ (r1_xxreal_0(k8_nat_1(k1_numbers, A, B), k5_numbers)) ) ) ) ) ) ).
fof(d4_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v4_asympt_0(A) <=>  (? [B] :  (v7_ordinal1(B) &  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(B, C) & r1_xxreal_0(k8_nat_1(k1_numbers, A, C), k5_numbers)) ) ) ) ) ) ) ) ) ).
fof(d5_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v5_asympt_0(A) <=>  (? [B] :  (v7_ordinal1(B) &  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(B, C) & k8_nat_1(k1_numbers, A, C)=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(d6_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v6_asympt_0(A) <=>  (? [B] :  (v7_ordinal1(B) &  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, C) => r1_xxreal_0(k8_nat_1(k1_numbers, A, C), k8_nat_1(k1_numbers, A, k1_nat_1(C, 1)))) ) ) ) ) ) ) ) ).
fof(d7_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (C=k5_asympt_0(A, B) <=>  (! [D] :  (v7_ordinal1(D) => k8_nat_1(k1_numbers, C, D)=k4_xxreal_0(k8_nat_1(k1_numbers, A, D), k8_nat_1(k1_numbers, B, D))) ) ) ) ) ) ) ) ) ).
fof(d8_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (r1_asympt_0(A, B) <=>  (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r1_xxreal_0(C, D) => r1_xxreal_0(k8_nat_1(k1_numbers, A, D), k8_nat_1(k1_numbers, B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t1_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, C) => r1_xxreal_0(k8_nat_1(k1_numbers, A, C), k8_nat_1(k1_numbers, A, k1_nat_1(C, 1)))) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(B, C) & r1_xxreal_0(C, D))  => r1_xxreal_0(k8_nat_1(k1_numbers, A, C), k8_nat_1(k1_numbers, A, D))) ) ) ) ) ) ) ) ) ) ).
fof(t2_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v4_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v4_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (v2_comseq_2(k52_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B)) =>  (k1_seq_2(k52_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B))=k5_numbers |  (v2_comseq_2(k52_valued_1(k4_ordinal1, k1_numbers, k1_numbers, B, A)) & k1_seq_2(k52_valued_1(k4_ordinal1, k1_numbers, k1_numbers, B, A))=k5_xcmplx_0(k1_seq_2(k52_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) ) ).
fof(t3_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (v2_comseq_2(A) => r1_xxreal_0(k5_numbers, k1_seq_2(A))) ) ) ).
fof(t4_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_comseq_2(A) &  (v2_comseq_2(B) & r1_asympt_0(A, B)) )  => r1_xxreal_0(k1_seq_2(A), k1_seq_2(B))) ) ) ) ) ).
fof(t5_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v5_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (v1_limfunc1(k52_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B)) =>  (v2_comseq_2(k52_valued_1(k4_ordinal1, k1_numbers, k1_numbers, B, A)) & k1_seq_2(k52_valued_1(k4_ordinal1, k1_numbers, k1_numbers, B, A))=k5_numbers) ) ) ) ) ) ).
fof(t6_asympt_0, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (r2_tarski(A, k6_asympt_0(B)) =>  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ) ) ) ).
fof(t7_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v3_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (r2_tarski(B, k6_asympt_0(A)) <=>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (m1_subset_1(D, k4_ordinal1) => r1_xxreal_0(k8_nat_1(k1_numbers, B, D), k3_xcmplx_0(C, k8_nat_1(k1_numbers, A, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t8_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v4_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ ( (r2_tarski(B, k6_asympt_0(A)) &  ( (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ~ ( (r1_xxreal_0(C, D) & r1_xxreal_0(k8_nat_1(k1_numbers, A, D), k5_numbers)) ) ) )  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r1_xxreal_0(C, E) => r1_xxreal_0(k8_nat_1(k1_numbers, B, E), k3_xcmplx_0(D, k8_nat_1(k1_numbers, A, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  => k6_asympt_0(k1_asympt_0(A, B))=k6_asympt_0(k5_asympt_0(A, B))) ) ) ) ).
fof(t10_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  => r2_tarski(A, k6_asympt_0(A))) ) ).
fof(t11_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (r2_tarski(A, k6_asympt_0(B)) => r1_tarski(k6_asympt_0(A), k6_asympt_0(B))) ) ) ) ) ).
fof(t12_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) &  (v2_asympt_0(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (r2_tarski(A, k6_asympt_0(B)) & r2_tarski(B, k6_asympt_0(C)))  => r2_tarski(A, k6_asympt_0(C))) ) ) ) ) ) ) ).
fof(t13_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( (v2_xxreal_0(B) & v1_xreal_0(B))  => k6_asympt_0(A)=k6_asympt_0(k2_asympt_0(A, B))) ) ) ) ).
fof(t14_asympt_0, axiom,  (! [A] :  ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) &  (v2_asympt_0(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (r2_tarski(B, k6_asympt_0(C)) => r2_tarski(B, k6_asympt_0(k3_asympt_0(C, A)))) ) ) ) ) ) ) ).
fof(t15_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v4_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v4_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (v2_comseq_2(k52_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B)) =>  (r1_xxreal_0(k1_seq_2(k52_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B)), k5_numbers) | k6_asympt_0(A)=k6_asympt_0(B)) ) ) ) ) ) ).
fof(t16_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v4_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v4_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (v2_comseq_2(k52_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B)) & k1_seq_2(k52_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B))=k5_numbers)  =>  (r2_tarski(A, k6_asympt_0(B)) &  ~ (r2_tarski(B, k6_asympt_0(A))) ) ) ) ) ) ) ).
fof(t17_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v4_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v4_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (v1_limfunc1(k52_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B)) =>  ( ~ (r2_tarski(A, k6_asympt_0(B)))  & r2_tarski(B, k6_asympt_0(A))) ) ) ) ) ) ).
fof(t18_asympt_0, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (r2_tarski(A, k7_asympt_0(B)) =>  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ) ) ) ).
fof(t19_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (r2_tarski(A, k7_asympt_0(B)) <=> r2_tarski(B, k6_asympt_0(A))) ) ) ) ) ).
fof(t20_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  => r2_tarski(A, k7_asympt_0(A))) ) ).
fof(t21_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) &  (v2_asympt_0(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (r2_tarski(A, k7_asympt_0(B)) & r2_tarski(B, k7_asympt_0(C)))  => r2_tarski(A, k7_asympt_0(C))) ) ) ) ) ) ) ).
fof(t22_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v4_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v4_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (v2_comseq_2(k52_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B)) =>  (r1_xxreal_0(k1_seq_2(k52_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B)), k5_numbers) | k7_asympt_0(A)=k7_asympt_0(B)) ) ) ) ) ) ).
fof(t23_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v4_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v4_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (v2_comseq_2(k52_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B)) & k1_seq_2(k52_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B))=k5_numbers)  =>  (r2_tarski(B, k7_asympt_0(A)) &  ~ (r2_tarski(A, k7_asympt_0(B))) ) ) ) ) ) ) ).
fof(t24_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v4_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v4_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (v1_limfunc1(k52_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B)) =>  ( ~ (r2_tarski(B, k7_asympt_0(A)))  & r2_tarski(A, k7_asympt_0(B))) ) ) ) ) ) ).
fof(t25_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v3_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v3_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (r2_tarski(B, k7_asympt_0(A)) <=>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (m1_subset_1(D, k4_ordinal1) => r1_xxreal_0(k3_xcmplx_0(C, k8_nat_1(k1_numbers, A, D)), k8_nat_1(k1_numbers, B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t26_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  => k7_asympt_0(k1_asympt_0(A, B))=k7_asympt_0(k5_asympt_0(A, B))) ) ) ) ).
fof(d11_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  => k8_asympt_0(A)=k3_xboole_0(k6_asympt_0(A), k7_asympt_0(A))) ) ).
fof(t28_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  => r2_tarski(A, k8_asympt_0(A))) ) ).
fof(t29_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (r2_tarski(A, k8_asympt_0(B)) => r2_tarski(B, k8_asympt_0(A))) ) ) ) ) ).
fof(t30_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) &  (v2_asympt_0(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (r2_tarski(A, k8_asympt_0(B)) & r2_tarski(B, k8_asympt_0(C)))  => r2_tarski(A, k8_asympt_0(C))) ) ) ) ) ) ) ).
fof(t31_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v3_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v3_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (r2_tarski(B, k8_asympt_0(A)) <=>  (? [C] :  (v1_xreal_0(C) &  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r1_xxreal_0(k3_xcmplx_0(D, k8_nat_1(k1_numbers, A, E)), k8_nat_1(k1_numbers, B, E)) & r1_xxreal_0(k8_nat_1(k1_numbers, B, E), k3_xcmplx_0(C, k8_nat_1(k1_numbers, A, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  => k8_asympt_0(k1_asympt_0(A, B))=k8_asympt_0(k5_asympt_0(A, B))) ) ) ) ).
fof(t33_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v4_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v4_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (v2_comseq_2(k52_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B)) =>  (r1_xxreal_0(k1_seq_2(k52_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B)), k5_numbers) | r2_tarski(A, k8_asympt_0(B))) ) ) ) ) ) ).
fof(t34_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v4_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v4_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (v2_comseq_2(k52_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B)) & k1_seq_2(k52_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B))=k5_numbers)  =>  (r2_tarski(A, k6_asympt_0(B)) &  ~ (r2_tarski(A, k8_asympt_0(B))) ) ) ) ) ) ) ).
fof(t35_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v4_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v4_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (v1_limfunc1(k52_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B)) =>  (r2_tarski(A, k7_asympt_0(B)) &  ~ (r2_tarski(A, k8_asympt_0(B))) ) ) ) ) ) ) ).
fof(t36_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] : k11_asympt_0(A, B)=k3_xboole_0(k9_asympt_0(A, B), k10_asympt_0(A, B))) ) ) ).
fof(d15_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (C=k12_asympt_0(A, B) <=>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => k8_nat_1(k1_numbers, C, D)=k8_nat_1(k1_numbers, A, k3_xcmplx_0(B, D))) ) ) ) ) ) ) ) ) ).
fof(d16_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r2_asympt_0(A, B) <=>  (v6_asympt_0(A) & r2_tarski(k12_asympt_0(A, B), k6_asympt_0(A))) ) ) ) ) ) ).
fof(d17_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (v7_asympt_0(A) <=>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (r1_xxreal_0(2, B) => r2_asympt_0(A, B)) ) ) ) ) ) ).
fof(t37_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (? [B] :  (m1_subset_1(B, k4_ordinal1) &  (r1_xxreal_0(2, B) & r2_asympt_0(A, B)) ) )  => v7_asympt_0(A)) ) ) ).
fof(t41_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  => k13_asympt_0(k4_ordinal1, k6_asympt_0(A), k6_asympt_0(B))=k6_asympt_0(k1_asympt_0(A, B))) ) ) ) ).
fof(t42_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  => k14_asympt_0(k4_ordinal1, k6_asympt_0(A), k6_asympt_0(B))=k6_asympt_0(k5_asympt_0(A, B))) ) ) ) ).
fof(dt_f1_s1_asympt_0, axiom, v7_ordinal1(f1_s1_asympt_0)).
fof(dt_f2_s1_asympt_0, axiom, v7_ordinal1(f2_s1_asympt_0)).
fof(dt_f3_s1_asympt_0, axiom,  ~ (v1_xboole_0(f3_s1_asympt_0)) ).
fof(dt_f4_s1_asympt_0, axiom,  (! [A] : m1_subset_1(f4_s1_asympt_0(A), f3_s1_asympt_0)) ).
fof(dt_f1_s2_asympt_0, axiom, v7_ordinal1(f1_s2_asympt_0)).
fof(dt_f2_s2_asympt_0, axiom,  ~ (v1_xboole_0(f2_s2_asympt_0)) ).
fof(dt_f3_s2_asympt_0, axiom,  (! [A] : m1_subset_1(f3_s2_asympt_0(A), f2_s2_asympt_0)) ).
fof(dt_f1_s3_asympt_0, axiom, v7_ordinal1(f1_s3_asympt_0)).
fof(dt_f2_s3_asympt_0, axiom,  ~ (v1_xboole_0(f2_s3_asympt_0)) ).
fof(dt_f3_s3_asympt_0, axiom,  (! [A] : m1_subset_1(f3_s3_asympt_0(A), f2_s3_asympt_0)) ).
fof(dt_k1_asympt_0, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (v1_funct_1(k1_asympt_0(A, B)) &  (v1_funct_2(k1_asympt_0(A, B), k4_ordinal1, k1_numbers) &  (v2_asympt_0(k1_asympt_0(A, B)) & m1_subset_1(k1_asympt_0(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ) ).
fof(commutativity_k1_asympt_0, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  => k1_asympt_0(A, B)=k1_asympt_0(B, A)) ) ).
fof(redefinition_k1_asympt_0, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  => k1_asympt_0(A, B)=k1_valued_1(A, B)) ) ).
fof(dt_k2_asympt_0, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  &  (v2_xxreal_0(B) & v1_xreal_0(B)) )  =>  (v1_funct_1(k2_asympt_0(A, B)) &  (v1_funct_2(k2_asympt_0(A, B), k4_ordinal1, k1_numbers) &  (v2_asympt_0(k2_asympt_0(A, B)) & m1_subset_1(k2_asympt_0(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ) ).
fof(redefinition_k2_asympt_0, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  &  (v2_xxreal_0(B) & v1_xreal_0(B)) )  => k2_asympt_0(A, B)=k24_valued_1(A, B)) ) ).
fof(dt_k3_asympt_0, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  (v1_funct_1(k3_asympt_0(A, B)) &  (v1_funct_2(k3_asympt_0(A, B), k4_ordinal1, k1_numbers) &  (v2_asympt_0(k3_asympt_0(A, B)) & m1_subset_1(k3_asympt_0(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ) ).
fof(redefinition_k3_asympt_0, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => k3_asympt_0(A, B)=k7_valued_1(A, B)) ) ).
fof(dt_k4_asympt_0, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  &  (v2_xxreal_0(B) & v1_xreal_0(B)) )  =>  (v1_funct_1(k4_asympt_0(A, B)) &  (v1_funct_2(k4_asympt_0(A, B), k4_ordinal1, k1_numbers) &  (v4_asympt_0(k4_asympt_0(A, B)) & m1_subset_1(k4_asympt_0(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ) ).
fof(redefinition_k4_asympt_0, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  &  (v2_xxreal_0(B) & v1_xreal_0(B)) )  => k4_asympt_0(A, B)=k7_valued_1(A, B)) ) ).
fof(dt_k5_asympt_0, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (v1_funct_1(k5_asympt_0(A, B)) &  (v1_funct_2(k5_asympt_0(A, B), k4_ordinal1, k1_numbers) & m1_subset_1(k5_asympt_0(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(commutativity_k5_asympt_0, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  => k5_asympt_0(A, B)=k5_asympt_0(B, A)) ) ).
fof(dt_k6_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  => m1_funct_2(k6_asympt_0(A), k4_ordinal1, k1_numbers)) ) ).
fof(dt_k7_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  => m1_funct_2(k7_asympt_0(A), k4_ordinal1, k1_numbers)) ) ).
fof(dt_k8_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  => m1_funct_2(k8_asympt_0(A), k4_ordinal1, k1_numbers)) ) ).
fof(dt_k9_asympt_0, axiom,  (! [A, B] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  => m1_funct_2(k9_asympt_0(A, B), k4_ordinal1, k1_numbers)) ) ).
fof(dt_k10_asympt_0, axiom,  (! [A, B] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  => m1_funct_2(k10_asympt_0(A, B), k4_ordinal1, k1_numbers)) ) ).
fof(dt_k11_asympt_0, axiom,  (! [A, B] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  => m1_funct_2(k11_asympt_0(A, B), k4_ordinal1, k1_numbers)) ) ).
fof(dt_k12_asympt_0, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  & v7_ordinal1(B))  =>  (v1_funct_1(k12_asympt_0(A, B)) &  (v1_funct_2(k12_asympt_0(A, B), k4_ordinal1, k1_numbers) & m1_subset_1(k12_asympt_0(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k13_asympt_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_funct_2(B, A, k1_numbers) & m1_funct_2(C, A, k1_numbers)) )  => m1_funct_2(k13_asympt_0(A, B, C), A, k1_numbers)) ) ).
fof(dt_k14_asympt_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_funct_2(B, A, k1_numbers) & m1_funct_2(C, A, k1_numbers)) )  => m1_funct_2(k14_asympt_0(A, B, C), A, k1_numbers)) ) ).
fof(dt_k15_asympt_0, axiom,  (! [A, B] :  ( (m1_funct_2(A, k4_ordinal1, k1_numbers) & m1_funct_2(B, k4_ordinal1, k1_numbers))  => m1_funct_2(k15_asympt_0(A, B), k4_ordinal1, k1_numbers)) ) ).
fof(d9_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  => k6_asympt_0(A)=a_1_0_asympt_0(A)) ) ).
fof(d10_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  => k7_asympt_0(A)=a_1_1_asympt_0(A)) ) ).
fof(t27_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  => k8_asympt_0(A)=a_1_2_asympt_0(A)) ) ).
fof(d12_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] : k9_asympt_0(A, B)=a_2_0_asympt_0(A, B)) ) ) ).
fof(d13_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] : k10_asympt_0(A, B)=a_2_1_asympt_0(A, B)) ) ) ).
fof(d14_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] : k11_asympt_0(A, B)=a_2_2_asympt_0(A, B)) ) ) ).
fof(t38_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_asympt_0(B) &  (v6_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( (v7_asympt_0(A) &  (r1_xxreal_0(2, C) & r2_tarski(B, k9_asympt_0(A, a_1_3_asympt_0(C)))) )  => r2_tarski(B, k6_asympt_0(A))) ) ) ) ) ) ) ).
fof(t39_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_asympt_0(B) &  (v6_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (v7_asympt_0(A) &  (r1_xxreal_0(2, C) & r2_tarski(B, k10_asympt_0(A, a_1_4_asympt_0(C)))) )  => r2_tarski(B, k7_asympt_0(A))) ) ) ) ) ) ) ).
fof(t40_asympt_0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_asympt_0(B) &  (v6_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (v7_asympt_0(A) &  (r1_xxreal_0(2, C) & r2_tarski(B, k11_asympt_0(A, a_1_4_asympt_0(C)))) )  => r2_tarski(B, k8_asympt_0(A))) ) ) ) ) ) ) ).
fof(d18_asympt_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_funct_2(B, A, k1_numbers) =>  (! [C] :  (m1_funct_2(C, A, k1_numbers) => k13_asympt_0(A, B, C)=a_3_0_asympt_0(A, B, C)) ) ) ) ) ) ).
fof(d19_asympt_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_funct_2(B, A, k1_numbers) =>  (! [C] :  (m1_funct_2(C, A, k1_numbers) => k14_asympt_0(A, B, C)=a_3_1_asympt_0(A, B, C)) ) ) ) ) ) ).
fof(d20_asympt_0, axiom,  (! [A] :  (m1_funct_2(A, k4_ordinal1, k1_numbers) =>  (! [B] :  (m1_funct_2(B, k4_ordinal1, k1_numbers) => k15_asympt_0(A, B)=a_2_3_asympt_0(A, B)) ) ) ) ).
fof(s1_asympt_0, axiom,  (r1_xxreal_0(f1_s1_asympt_0, f2_s1_asympt_0) =>  ( ~ (v1_xboole_0(a_0_0_asympt_0))  &  (v1_finset_1(a_0_0_asympt_0) & m1_subset_1(a_0_0_asympt_0, k1_zfmisc_1(f3_s1_asympt_0))) ) ) ).
fof(s2_asympt_0, axiom,  ( ~ (v1_xboole_0(a_0_1_asympt_0))  &  (v1_finset_1(a_0_1_asympt_0) & m1_subset_1(a_0_1_asympt_0, k1_zfmisc_1(f2_s2_asympt_0))) ) ).
fof(s3_asympt_0, axiom,  ( ~ (r1_xxreal_0(f1_s3_asympt_0, k5_numbers))  =>  ( ~ (v1_xboole_0(a_0_2_asympt_0))  &  (v1_finset_1(a_0_2_asympt_0) & m1_subset_1(a_0_2_asympt_0, k1_zfmisc_1(f2_s3_asympt_0))) ) ) ).
fof(fraenkel_a_1_0_asympt_0, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (r2_hidden(A, a_1_0_asympt_0(B)) <=>  (? [C] :  (m2_funct_2(C, k4_ordinal1, k1_numbers, k9_funct_2(k4_ordinal1, k1_numbers)) &  (A=C &  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (m1_subset_1(E, k4_ordinal1) &  ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r1_xxreal_0(E, F) =>  (r1_xxreal_0(k8_nat_1(k1_numbers, C, F), k3_xcmplx_0(D, k8_nat_1(k1_numbers, B, F))) & r1_xxreal_0(k5_numbers, k8_nat_1(k1_numbers, C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_1_asympt_0, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (r2_hidden(A, a_1_1_asympt_0(B)) <=>  (? [C] :  (m2_funct_2(C, k4_ordinal1, k1_numbers, k9_funct_2(k4_ordinal1, k1_numbers)) &  (A=C &  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (m1_subset_1(E, k4_ordinal1) &  ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r1_xxreal_0(E, F) =>  (r1_xxreal_0(k3_xcmplx_0(D, k8_nat_1(k1_numbers, B, F)), k8_nat_1(k1_numbers, C, F)) & r1_xxreal_0(k5_numbers, k8_nat_1(k1_numbers, C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_2_asympt_0, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (r2_hidden(A, a_1_2_asympt_0(B)) <=>  (? [C] :  (m2_funct_2(C, k4_ordinal1, k1_numbers, k9_funct_2(k4_ordinal1, k1_numbers)) &  (A=C &  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (? [F] :  (m1_subset_1(F, k4_ordinal1) &  ( ~ (r1_xxreal_0(D, k5_numbers))  &  ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  (r1_xxreal_0(F, G) =>  (r1_xxreal_0(k3_xcmplx_0(E, k8_nat_1(k1_numbers, B, G)), k8_nat_1(k1_numbers, C, G)) & r1_xxreal_0(k8_nat_1(k1_numbers, C, G), k3_xcmplx_0(D, k8_nat_1(k1_numbers, B, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_asympt_0, axiom,  (! [A, B, C] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (r2_hidden(A, a_2_0_asympt_0(B, C)) <=>  (? [D] :  (m2_funct_2(D, k4_ordinal1, k1_numbers, k9_funct_2(k4_ordinal1, k1_numbers)) &  (A=D &  (? [E] :  (v1_xreal_0(E) &  (? [F] :  (m1_subset_1(F, k4_ordinal1) &  ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  ( (r1_xxreal_0(F, G) & r2_tarski(G, C))  =>  (r1_xxreal_0(k8_nat_1(k1_numbers, D, G), k3_xcmplx_0(E, k8_nat_1(k1_numbers, B, G))) & r1_xxreal_0(k5_numbers, k8_nat_1(k1_numbers, D, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_asympt_0, axiom,  (! [A, B, C] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (r2_hidden(A, a_2_1_asympt_0(B, C)) <=>  (? [D] :  (m2_funct_2(D, k4_ordinal1, k1_numbers, k9_funct_2(k4_ordinal1, k1_numbers)) &  (A=D &  (? [E] :  (v1_xreal_0(E) &  (? [F] :  (m1_subset_1(F, k4_ordinal1) &  ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  ( (r1_xxreal_0(F, G) & r2_tarski(G, C))  =>  (r1_xxreal_0(k3_xcmplx_0(E, k8_nat_1(k1_numbers, B, G)), k8_nat_1(k1_numbers, D, G)) & r1_xxreal_0(k5_numbers, k8_nat_1(k1_numbers, D, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_2_asympt_0, axiom,  (! [A, B, C] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (r2_hidden(A, a_2_2_asympt_0(B, C)) <=>  (? [D] :  (m2_funct_2(D, k4_ordinal1, k1_numbers, k9_funct_2(k4_ordinal1, k1_numbers)) &  (A=D &  (? [E] :  (v1_xreal_0(E) &  (? [F] :  (v1_xreal_0(F) &  (? [G] :  (m1_subset_1(G, k4_ordinal1) &  ( ~ (r1_xxreal_0(E, k5_numbers))  &  ( ~ (r1_xxreal_0(F, k5_numbers))  &  (! [H] :  (m1_subset_1(H, k4_ordinal1) =>  ( (r1_xxreal_0(G, H) & r2_tarski(H, C))  =>  (r1_xxreal_0(k3_xcmplx_0(F, k8_nat_1(k1_numbers, B, H)), k8_nat_1(k1_numbers, D, H)) & r1_xxreal_0(k8_nat_1(k1_numbers, D, H), k3_xcmplx_0(E, k8_nat_1(k1_numbers, B, H)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_3_asympt_0, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_3_asympt_0(B)) <=>  (? [C] :  (m1_subset_1(C, k4_ordinal1) & A=k1_newton(B, C)) ) ) ) ) ).
fof(fraenkel_a_1_4_asympt_0, axiom,  (! [A, B] :  (m1_subset_1(B, k4_ordinal1) =>  (r2_hidden(A, a_1_4_asympt_0(B)) <=>  (? [C] :  (m1_subset_1(C, k4_ordinal1) & A=k11_newton(B, C)) ) ) ) ) ).
fof(fraenkel_a_3_0_asympt_0, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  (m1_funct_2(C, B, k1_numbers) & m1_funct_2(D, B, k1_numbers)) )  =>  (r2_hidden(A, a_3_0_asympt_0(B, C, D)) <=>  (? [E] :  (m2_funct_2(E, B, k1_numbers, k9_funct_2(B, k1_numbers)) &  (A=E &  (? [F] :  (m2_funct_2(F, B, k1_numbers, k9_funct_2(B, k1_numbers)) &  (? [G] :  (m2_funct_2(G, B, k1_numbers, k9_funct_2(B, k1_numbers)) &  (r2_tarski(F, C) &  (r2_tarski(G, D) &  (! [H] :  (m1_subset_1(H, B) => k3_funct_2(B, k1_numbers, E, H)=k3_real_1(k3_funct_2(B, k1_numbers, F, H), k3_funct_2(B, k1_numbers, G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_asympt_0, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  (m1_funct_2(C, B, k1_numbers) & m1_funct_2(D, B, k1_numbers)) )  =>  (r2_hidden(A, a_3_1_asympt_0(B, C, D)) <=>  (? [E] :  (m2_funct_2(E, B, k1_numbers, k9_funct_2(B, k1_numbers)) &  (A=E &  (? [F] :  (m2_funct_2(F, B, k1_numbers, k9_funct_2(B, k1_numbers)) &  (? [G] :  (m2_funct_2(G, B, k1_numbers, k9_funct_2(B, k1_numbers)) &  (r2_tarski(F, C) &  (r2_tarski(G, D) &  (! [H] :  (m1_subset_1(H, B) => k3_funct_2(B, k1_numbers, E, H)=k4_xxreal_0(k3_funct_2(B, k1_numbers, F, H), k3_funct_2(B, k1_numbers, G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_3_asympt_0, axiom,  (! [A, B, C] :  ( (m1_funct_2(B, k4_ordinal1, k1_numbers) & m1_funct_2(C, k4_ordinal1, k1_numbers))  =>  (r2_hidden(A, a_2_3_asympt_0(B, C)) <=>  (? [D] :  (m2_funct_2(D, k4_ordinal1, k1_numbers, k9_funct_2(k4_ordinal1, k1_numbers)) &  (A=D &  (? [E] :  (m2_funct_2(E, k4_ordinal1, k1_numbers, k9_funct_2(k4_ordinal1, k1_numbers)) &  (? [F] :  (m2_funct_2(F, k4_ordinal1, k1_numbers, k9_funct_2(k4_ordinal1, k1_numbers)) &  (? [G] :  (m1_subset_1(G, k4_ordinal1) &  (r2_tarski(E, B) &  (r2_tarski(F, C) &  (! [H] :  (m1_subset_1(H, k4_ordinal1) =>  (r1_xxreal_0(G, H) => k8_nat_1(k1_numbers, D, H)=k2_power(k8_nat_1(k1_numbers, E, H), k8_nat_1(k1_numbers, F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_0_0_asympt_0, axiom,  (! [A] :  (r2_hidden(A, a_0_0_asympt_0) <=>  (? [B] :  (m1_subset_1(B, k4_ordinal1) &  (A=f4_s1_asympt_0(B) &  (r1_xxreal_0(f1_s1_asympt_0, B) & r1_xxreal_0(B, f2_s1_asympt_0)) ) ) ) ) ) ).
fof(fraenkel_a_0_1_asympt_0, axiom,  (! [A] :  (r2_hidden(A, a_0_1_asympt_0) <=>  (? [B] :  (m1_subset_1(B, k4_ordinal1) &  (A=f3_s2_asympt_0(B) & r1_xxreal_0(B, f1_s2_asympt_0)) ) ) ) ) ).
fof(fraenkel_a_0_2_asympt_0, axiom,  (! [A] :  (r2_hidden(A, a_0_2_asympt_0) <=>  (? [B] :  (m1_subset_1(B, k4_ordinal1) &  (A=f3_s3_asympt_0(B) &  ~ (r1_xxreal_0(f1_s3_asympt_0, B)) ) ) ) ) ) ).
fof(fc1_asympt_1, axiom,  (! [A, B, C] :  ( ( (v1_xreal_0(A) & v2_xxreal_0(A))  &  (v1_xreal_0(B) & v1_xreal_0(C)) )  =>  (v1_funct_1(k1_asympt_1(A, B, C)) &  (v1_funct_2(k1_asympt_1(A, B, C), k4_ordinal1, k1_numbers) & v4_asympt_0(k1_asympt_1(A, B, C))) ) ) ) ).
fof(fc2_asympt_1, axiom,  (v1_funct_1(k2_asympt_1) &  (v1_funct_2(k2_asympt_1, k4_ordinal1, k1_numbers) & v4_asympt_0(k2_asympt_1)) ) ).
fof(fc3_asympt_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_funct_1(k3_asympt_1(A)) &  (v1_funct_2(k3_asympt_1(A), k4_ordinal1, k1_numbers) & v4_asympt_0(k3_asympt_1(A))) ) ) ) ).
fof(fc4_asympt_1, axiom,  (v1_funct_1(k1_seq_1(1)) &  (v1_funct_2(k1_seq_1(1), k4_ordinal1, k1_numbers) & v2_asympt_0(k1_seq_1(1))) ) ).
fof(fc5_asympt_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (v1_funct_1(k4_asympt_1(A)) &  (v1_funct_2(k4_asympt_1(A), k4_ordinal1, k1_numbers) & v4_asympt_0(k4_asympt_1(A))) ) ) ) ).
fof(t1_asympt_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( (k8_nat_1(k1_numbers, A, k5_numbers)=k5_numbers &  ( (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  => k8_nat_1(k1_numbers, A, C)=k2_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k2_nat_1(12, k5_series_1(C, 3)), k3_power(2, C)), k3_xcmplx_0(5, k1_square_1(C))), k1_square_1(k3_power(2, C))), 36)) ) )  &  ( (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  => k8_nat_1(k1_numbers, B, C)=k3_xcmplx_0(k5_series_1(C, 3), k3_power(2, C))) ) )  &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) &  (v4_asympt_0(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) &  (v4_asympt_0(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ~ ( (r2_funct_2(k4_ordinal1, k1_numbers, C, A) &  (r2_funct_2(k4_ordinal1, k1_numbers, D, B) & r2_tarski(C, k6_asympt_0(D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_asympt_1, axiom,  (! [A] :  ( (v1_xreal_0(A) & v1_asympt_0(A))  =>  (! [B] :  ( (v1_xreal_0(B) & v1_asympt_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( ( ~ (r1_xxreal_0(A, 1))  &  ( ~ (r1_xxreal_0(B, 1))  &  ( (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( ~ (r1_xxreal_0(E, k5_numbers))  => k8_nat_1(k1_numbers, C, E)=k3_power(A, E)) ) )  &  ( (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( ~ (r1_xxreal_0(E, k5_numbers))  => k8_nat_1(k1_numbers, D, E)=k3_power(B, E)) ) )  &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) &  (v4_asympt_0(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k1_numbers) &  (v4_asympt_0(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ~ ( (r2_funct_2(k4_ordinal1, k1_numbers, E, C) &  (r2_funct_2(k4_ordinal1, k1_numbers, F, D) & k6_asympt_0(E)=k6_asympt_0(F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_asympt_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (D=k1_asympt_1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, k4_ordinal1) => k8_nat_1(k1_numbers, D, E)=k2_power(A, k2_xcmplx_0(k3_xcmplx_0(B, E), C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_asympt_1, axiom,  (! [A] :  ( (v1_xreal_0(A) & v2_xxreal_0(A))  =>  (! [B] :  ( (v1_xreal_0(B) & v2_xxreal_0(B))  =>  ~ ( ( ~ (r1_xxreal_0(B, A))  & r2_tarski(k1_asympt_1(B, 1, k5_numbers), k6_asympt_0(k1_asympt_1(A, 1, k5_numbers)))) ) ) ) ) ) ).
fof(d2_asympt_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (A=k2_asympt_1 <=>  (k8_nat_1(k1_numbers, A, k5_numbers)=k5_numbers &  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  => k8_nat_1(k1_numbers, A, B)=k3_power(2, B)) ) ) ) ) ) ) ).
fof(d3_asympt_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (B=k3_asympt_1(A) <=>  (k8_nat_1(k1_numbers, B, k5_numbers)=k5_numbers &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  => k8_nat_1(k1_numbers, B, C)=k2_power(C, A)) ) ) ) ) ) ) ) ) ).
fof(t4_asympt_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (r1_tarski(k6_asympt_0(A), k6_asympt_0(B)) =>  (k6_asympt_0(A)=k6_asympt_0(B) |  (r2_tarski(A, k6_asympt_0(B)) &  ~ (r2_tarski(A, k7_asympt_0(B))) ) ) )  &  (r2_tarski(A, k6_asympt_0(B)) =>  (r2_tarski(A, k7_asympt_0(B)) |  (r1_tarski(k6_asympt_0(A), k6_asympt_0(B)) &  ~ (k6_asympt_0(A)=k6_asympt_0(B)) ) ) ) ) ) ) ) ) ).
fof(t5_asympt_1, axiom,  (r1_tarski(k6_asympt_0(k2_asympt_1), k6_asympt_0(k3_asympt_1(k7_xcmplx_0(1, 2)))) &  ~ (k6_asympt_0(k2_asympt_1)=k6_asympt_0(k3_asympt_1(k7_xcmplx_0(1, 2)))) ) ).
fof(t6_asympt_1, axiom,  (r2_tarski(k3_asympt_1(k7_xcmplx_0(1, 2)), k7_asympt_0(k2_asympt_1)) &  ~ (r2_tarski(k2_asympt_1, k7_asympt_0(k3_asympt_1(k7_xcmplx_0(1, 2))))) ) ).
fof(t7_asympt_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ( (! [C] :  (m1_subset_1(C, k4_ordinal1) => k8_nat_1(k1_numbers, A, C)=k6_series_1(k3_asympt_1(B), C)) )  => r2_tarski(A, k8_asympt_0(k3_asympt_1(k1_nat_1(B, 1))))) ) ) ) ) ).
fof(t8_asympt_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( ( (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  => k8_nat_1(k1_numbers, A, B)=k2_power(B, k3_power(2, B))) ) )  &  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v4_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ~ ( (r2_funct_2(k4_ordinal1, k1_numbers, B, A) &  ~ (v7_asympt_0(B)) ) ) ) ) ) ) ) ) ).
fof(t9_asympt_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (? [B] :  (m1_funct_2(B, k4_ordinal1, k1_numbers) &  (B=k1_tarski(k3_asympt_1(1)) &  ( ~ ( (r2_tarski(A, k15_asympt_0(B, k6_asympt_0(k1_seq_1(1)))) &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r1_xxreal_0(C, F) =>  (r1_xxreal_0(1, k8_nat_1(k1_numbers, A, F)) & r1_xxreal_0(k8_nat_1(k1_numbers, A, F), k3_xcmplx_0(D, k8_nat_1(k1_numbers, k3_asympt_1(E), F)))) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (m1_subset_1(E, k4_ordinal1) &  ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r1_xxreal_0(C, F) =>  (r1_xxreal_0(1, k8_nat_1(k1_numbers, A, F)) & r1_xxreal_0(k8_nat_1(k1_numbers, A, F), k3_xcmplx_0(D, k8_nat_1(k1_numbers, k3_asympt_1(E), F)))) ) ) ) ) ) ) ) ) ) )  => r2_tarski(A, k15_asympt_0(B, k6_asympt_0(k1_seq_1(1))))) ) ) ) ) ) ) ).
fof(t10_asympt_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (! [B] :  (m1_subset_1(B, k4_ordinal1) => k8_nat_1(k1_numbers, A, B)=k2_xcmplx_0(k6_xcmplx_0(k2_nat_1(3, k5_series_1(10, 6)), k2_nat_1(k2_nat_1(18, k5_series_1(10, 3)), B)), k3_xcmplx_0(27, k1_square_1(B)))) )  => r2_tarski(A, k6_asympt_0(k3_asympt_1(2)))) ) ) ).
fof(t11_asympt_1, axiom, r2_tarski(k3_asympt_1(2), k6_asympt_0(k3_asympt_1(3)))).
fof(t12_asympt_1, axiom,  ~ (r2_tarski(k3_asympt_1(2), k7_asympt_0(k3_asympt_1(3)))) ).
fof(t13_asympt_1, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v4_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  &  (r2_funct_2(k4_ordinal1, k1_numbers, A, k1_asympt_1(2, 1, 1)) & r2_tarski(k1_asympt_1(2, 1, k5_numbers), k8_asympt_0(A))) ) ) ).
fof(d5_asympt_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (B=k4_asympt_1(A) <=>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => k8_nat_1(k1_numbers, B, C)=k7_newton(k1_nat_1(C, A))) ) ) ) ) ) ) ).
fof(t14_asympt_1, axiom,  ~ (r2_tarski(k4_asympt_1(k5_numbers), k8_asympt_0(k4_asympt_1(1)))) ).
fof(t15_asympt_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (r2_tarski(A, k6_asympt_0(k3_asympt_1(1))) => r2_tarski(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, A), k6_asympt_0(k3_asympt_1(2)))) ) ) ).
fof(t16_asympt_1, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v4_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  &  (r2_funct_2(k4_ordinal1, k1_numbers, A, k1_asympt_1(2, 1, k5_numbers)) &  (r2_tarski(k2_asympt_0(k3_asympt_1(1), 2), k6_asympt_0(k3_asympt_1(1))) &  ~ (r2_tarski(k1_asympt_1(2, 2, k5_numbers), k6_asympt_0(A))) ) ) ) ) ).
fof(t17_asympt_1, axiom,  ( ~ (r1_xxreal_0(k7_xcmplx_0(159, 100), k3_power(2, 3)))  =>  (r2_tarski(k3_asympt_1(k3_power(2, 3)), k6_asympt_0(k3_asympt_1(k7_xcmplx_0(159, 100)))) &  ( ~ (r2_tarski(k3_asympt_1(k3_power(2, 3)), k7_asympt_0(k3_asympt_1(k7_xcmplx_0(159, 100)))))  &  ~ (r2_tarski(k3_asympt_1(k3_power(2, 3)), k8_asympt_0(k3_asympt_1(k7_xcmplx_0(159, 100))))) ) ) ) ).
fof(t18_asympt_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( ( (! [C] :  (m1_subset_1(C, k4_ordinal1) => k8_nat_1(k1_numbers, A, C)=k5_int_1(C, 2)) )  &  ( (! [C] :  (m1_subset_1(C, k4_ordinal1) => k8_nat_1(k1_numbers, B, C)=k5_int_1(k1_nat_1(C, 1), 2)) )  &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) &  (v2_asympt_0(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) &  (v2_asympt_0(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ~ ( (r2_funct_2(k4_ordinal1, k1_numbers, C, A) &  (r2_funct_2(k4_ordinal1, k1_numbers, D, B) &  ( ~ (r2_tarski(C, k6_asympt_0(D)))  &  ~ (r2_tarski(D, k6_asympt_0(C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_asympt_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (k6_asympt_0(A)=k6_asympt_0(B) <=> r2_tarski(A, k8_asympt_0(B))) ) ) ) ) ).
fof(t20_asympt_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (r2_tarski(A, k8_asympt_0(B)) <=> k8_asympt_0(A)=k8_asympt_0(B)) ) ) ) ) ).
fof(t21_asympt_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  => k8_nat_1(k1_numbers, B, C)=k3_xcmplx_0(C, k3_power(2, C))) ) )  &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) &  (v4_asympt_0(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ~ ( (r2_funct_2(k4_ordinal1, k1_numbers, C, B) &  (r1_tarski(k6_asympt_0(C), k6_asympt_0(k3_asympt_1(k2_xcmplx_0(1, A)))) &  ~ (k6_asympt_0(C)=k6_asympt_0(k3_asympt_1(k2_xcmplx_0(1, A)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_asympt_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( ( ~ (r1_xxreal_0(1, A))  &  ( (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( ~ (r1_xxreal_0(C, 1))  => k8_nat_1(k1_numbers, B, C)=k7_xcmplx_0(k5_series_1(C, 2), k3_power(2, C))) ) )  &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) &  (v4_asympt_0(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ~ ( (r2_funct_2(k4_ordinal1, k1_numbers, C, B) &  (r1_tarski(k6_asympt_0(k3_asympt_1(k2_xcmplx_0(1, A))), k6_asympt_0(C)) &  ~ (k6_asympt_0(k3_asympt_1(k2_xcmplx_0(1, A)))=k6_asympt_0(C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_asympt_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( ( (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ( ~ (r1_xxreal_0(B, 1))  => k8_nat_1(k1_numbers, A, B)=k7_xcmplx_0(k5_series_1(B, 2), k3_power(2, B))) ) )  &  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v4_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ~ ( (r2_funct_2(k4_ordinal1, k1_numbers, B, A) &  (r1_tarski(k6_asympt_0(B), k6_asympt_0(k3_asympt_1(8))) &  ~ (k6_asympt_0(B)=k6_asympt_0(k3_asympt_1(8))) ) ) ) ) ) ) ) ) ) ).
fof(t24_asympt_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( ( (! [B] :  (m1_subset_1(B, k4_ordinal1) => k8_nat_1(k1_numbers, A, B)=k2_power(k2_xcmplx_0(k6_xcmplx_0(k1_square_1(B), B), 1), 4)) )  &  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v4_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ~ ( (r2_funct_2(k4_ordinal1, k1_numbers, B, A) & k6_asympt_0(k3_asympt_1(8))=k6_asympt_0(B)) ) ) ) ) ) ) ) ).
fof(t25_asympt_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(1, A))  &  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v4_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ~ ( (r2_funct_2(k4_ordinal1, k1_numbers, B, k1_asympt_1(k2_xcmplx_0(1, A), 1, k5_numbers)) &  (r1_tarski(k6_asympt_0(k3_asympt_1(8)), k6_asympt_0(B)) &  ~ (k6_asympt_0(k3_asympt_1(8))=k6_asympt_0(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_asympt_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( ( (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  => k8_nat_1(k1_numbers, A, C)=k2_power(C, k3_power(2, C))) ) )  &  ( (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  => k8_nat_1(k1_numbers, B, C)=k2_power(C, k3_square_1(C))) ) )  &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) &  (v4_asympt_0(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) &  (v4_asympt_0(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ~ ( (r2_funct_2(k4_ordinal1, k1_numbers, C, A) &  (r2_funct_2(k4_ordinal1, k1_numbers, D, B) &  (r1_tarski(k6_asympt_0(C), k6_asympt_0(D)) &  ~ (k6_asympt_0(C)=k6_asympt_0(D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_asympt_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( ( (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  => k8_nat_1(k1_numbers, A, B)=k2_power(B, k3_square_1(B))) ) )  &  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v4_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) &  (v4_asympt_0(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ~ ( (r2_funct_2(k4_ordinal1, k1_numbers, B, A) &  (r2_funct_2(k4_ordinal1, k1_numbers, C, k1_asympt_1(2, 1, k5_numbers)) &  (r1_tarski(k6_asympt_0(B), k6_asympt_0(C)) &  ~ (k6_asympt_0(B)=k6_asympt_0(C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_asympt_1, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v4_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  &  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v4_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  &  (r2_funct_2(k4_ordinal1, k1_numbers, A, k1_asympt_1(2, 1, k5_numbers)) &  (r2_funct_2(k4_ordinal1, k1_numbers, B, k1_asympt_1(2, 1, 1)) & k6_asympt_0(A)=k6_asympt_0(B)) ) ) ) ) ) ).
fof(t29_asympt_1, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v4_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  &  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v4_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  &  (r2_funct_2(k4_ordinal1, k1_numbers, A, k1_asympt_1(2, 1, k5_numbers)) &  (r2_funct_2(k4_ordinal1, k1_numbers, B, k1_asympt_1(2, 2, k5_numbers)) &  (r1_tarski(k6_asympt_0(A), k6_asympt_0(B)) &  ~ (k6_asympt_0(A)=k6_asympt_0(B)) ) ) ) ) ) ) ) ).
fof(t30_asympt_1, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v4_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  &  (r2_funct_2(k4_ordinal1, k1_numbers, A, k1_asympt_1(2, 2, k5_numbers)) &  (r1_tarski(k6_asympt_0(A), k6_asympt_0(k4_asympt_1(k5_numbers))) &  ~ (k6_asympt_0(A)=k6_asympt_0(k4_asympt_1(k5_numbers))) ) ) ) ) ).
fof(t31_asympt_1, axiom,  (r1_tarski(k6_asympt_0(k4_asympt_1(k5_numbers)), k6_asympt_0(k4_asympt_1(1))) &  ~ (k6_asympt_0(k4_asympt_1(k5_numbers))=k6_asympt_0(k4_asympt_1(1))) ) ).
fof(t32_asympt_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( ( (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  => k8_nat_1(k1_numbers, A, B)=k5_series_1(B, B)) ) )  &  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v4_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ~ ( (r2_funct_2(k4_ordinal1, k1_numbers, B, A) &  (r1_tarski(k6_asympt_0(k4_asympt_1(1)), k6_asympt_0(B)) &  ~ (k6_asympt_0(k4_asympt_1(1))=k6_asympt_0(B)) ) ) ) ) ) ) ) ) ) ).
fof(t33_asympt_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (r1_xxreal_0(1, A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (! [D] :  (m1_subset_1(D, k4_ordinal1) => k8_nat_1(k1_numbers, B, D)=k6_series_1(k3_asympt_1(C), D)) )  => r1_xxreal_0(k7_xcmplx_0(k5_series_1(A, k1_nat_1(C, 1)), k1_nat_1(C, 1)), k8_nat_1(k1_numbers, B, A))) ) ) ) ) ) ) ) ).
fof(t34_asympt_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( ( (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  => k8_nat_1(k1_numbers, B, C)=k3_xcmplx_0(C, k3_power(2, C))) ) )  &  ( (! [C] :  (v7_ordinal1(C) => k8_nat_1(k1_numbers, A, C)=k3_power(2, k7_newton(C))) )  &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) &  (v2_asympt_0(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ~ ( (r2_funct_2(k4_ordinal1, k1_numbers, C, B) & r2_tarski(A, k8_asympt_0(C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_asympt_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) &  (v6_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( ( (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (k5_int_1(C, 2)=k5_numbers => k8_nat_1(k1_numbers, B, C)=1)  &  (k5_int_1(C, 2)=1 => k8_nat_1(k1_numbers, B, C)=C) ) ) )  & r2_tarski(B, k8_asympt_0(A))) ) ) ) ) ) ).
fof(t36_asympt_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ( (r2_tarski(B, k5_asympt_1) => k8_nat_1(k1_numbers, A, B)=B)  &  ( ~ (r2_tarski(B, k5_asympt_1))  => k8_nat_1(k1_numbers, A, B)=k5_series_1(2, B)) ) ) )  =>  (r2_tarski(A, k11_asympt_0(k3_asympt_1(1), k5_asympt_1)) &  ( ~ (r2_tarski(A, k8_asympt_0(k3_asympt_1(1))))  &  (v7_asympt_0(k3_asympt_1(1)) &  ~ (v6_asympt_0(A)) ) ) ) ) ) ) ).
fof(t37_asympt_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( ( (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  => k8_nat_1(k1_numbers, A, C)=k2_power(C, k2_power(2, k1_int_1(k3_power(2, C))))) ) )  &  ( (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  => k8_nat_1(k1_numbers, B, C)=k5_series_1(C, C)) ) )  &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) &  (v4_asympt_0(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ~ ( (r2_funct_2(k4_ordinal1, k1_numbers, C, B) &  (r2_tarski(A, k11_asympt_0(C, k5_asympt_1)) &  ( ~ (r2_tarski(A, k8_asympt_0(C)))  &  (v6_asympt_0(A) &  (v6_asympt_0(C) &  ~ (r2_asympt_0(C, 2)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_asympt_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( ( (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ( (r2_tarski(B, k5_asympt_1) => k8_nat_1(k1_numbers, A, B)=B)  &  ( ~ (r2_tarski(B, k5_asympt_1))  => k8_nat_1(k1_numbers, A, B)=k5_series_1(B, 2)) ) ) )  &  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v4_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ~ ( (r2_funct_2(k4_ordinal1, k1_numbers, B, A) &  (r2_tarski(k3_asympt_1(1), k11_asympt_0(B, k5_asympt_1)) &  ( ~ (r2_tarski(k3_asympt_1(1), k8_asympt_0(B)))  &  (r2_tarski(k12_asympt_0(B, 2), k6_asympt_0(B)) &  (v6_asympt_0(k3_asympt_1(1)) &  ~ (v6_asympt_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_asympt_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ( ( ~ (A=k5_numbers)  =>  (B=k6_asympt_1(A) <=>  (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (r1_xxreal_0(k7_newton(C), A) &  ( ~ (r1_xxreal_0(k7_newton(k1_nat_1(C, 1)), A))  & B=k7_newton(C)) ) ) ) ) )  &  (A=k5_numbers =>  (B=k6_asympt_1(A) <=> B=k5_numbers) ) ) ) ) ) ) ).
fof(t39_asympt_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( ( (! [B] :  (m1_subset_1(B, k4_ordinal1) => k8_nat_1(k1_numbers, A, B)=k6_asympt_1(B)) )  &  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v4_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ~ ( (r2_funct_2(k4_ordinal1, k1_numbers, B, A) &  ( ~ (v7_asympt_0(B))  &  ( (! [C] :  (m1_subset_1(C, k4_ordinal1) => r1_xxreal_0(k8_nat_1(k1_numbers, A, C), k8_nat_1(k1_numbers, k3_asympt_1(1), C))) )  & v6_asympt_0(A)) ) ) ) ) ) ) ) ) ) ).
fof(t40_asympt_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (r2_funct_2(k4_ordinal1, k1_numbers, A, k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k3_asympt_1(1), k1_seq_1(1))) => k13_asympt_0(k4_ordinal1, k8_asympt_0(A), k8_asympt_0(k3_asympt_1(1)))=k8_asympt_0(k3_asympt_1(1))) ) ) ).
fof(t41_asympt_1, axiom,  (? [A] :  (m1_funct_2(A, k4_ordinal1, k1_numbers) &  (A=k1_tarski(k3_asympt_1(1)) &  ( (! [B] :  (m1_subset_1(B, k4_ordinal1) => r1_xxreal_0(k8_nat_1(k1_numbers, k3_asympt_1(k4_xcmplx_0(1)), B), k8_nat_1(k1_numbers, k3_asympt_1(1), B))) )  &  ~ (r2_tarski(k3_asympt_1(k4_xcmplx_0(1)), k15_asympt_0(A, k6_asympt_0(k1_seq_1(1))))) ) ) ) ) ).
fof(t42_asympt_1, axiom,  (! [A] :  ( (v1_xreal_0(A) &  ~ (v3_xxreal_0(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) &  (v2_asympt_0(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (r2_tarski(B, k6_asympt_0(k3_asympt_0(C, A))) =>  ( (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r1_xxreal_0(E, F) => r1_xxreal_0(D, k8_nat_1(k1_numbers, C, F))) ) ) ) ) ) ) ) )  | r2_tarski(B, k6_asympt_0(C))) ) ) ) ) ) ) ) ).
fof(t43_asympt_1, axiom, k5_series_1(2, 12)=4096).
fof(t44_asympt_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ~ ( (r1_xxreal_0(3, A) & r1_xxreal_0(k1_square_1(A), k1_nat_1(k2_nat_1(2, A), 1))) ) ) ) ).
fof(t45_asympt_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ~ ( (r1_xxreal_0(10, A) & r1_xxreal_0(k2_power(2, k6_xcmplx_0(A, 1)), k1_square_1(k2_nat_1(2, A)))) ) ) ) ).
fof(t46_asympt_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ~ ( (r1_xxreal_0(9, A) & r1_xxreal_0(k2_nat_1(2, k5_series_1(A, 6)), k5_series_1(k1_nat_1(A, 1), 6))) ) ) ) ).
fof(t47_asympt_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ~ ( (r1_xxreal_0(30, A) & r1_xxreal_0(k5_series_1(2, A), k5_series_1(A, 6))) ) ) ) ).
fof(t48_asympt_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( ( ~ (r1_xxreal_0(A, 9))  & r1_xxreal_0(k2_power(2, A), k1_square_1(k3_xcmplx_0(2, A)))) ) ) ) ).
fof(t49_asympt_1, axiom,  (? [A] :  (m1_subset_1(A, k4_ordinal1) &  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ~ ( (r1_xxreal_0(A, B) & r1_xxreal_0(k6_xcmplx_0(k3_square_1(B), k3_power(2, B)), 1)) ) ) ) ) ) ).
fof(t50_asympt_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  ( ~ (C=1)  &  ~ (k2_power(A, B)=k2_power(C, k3_xcmplx_0(B, k3_power(C, A)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_asympt_1, axiom, k7_newton(5)=120).
fof(t52_asympt_1, axiom, k5_series_1(5, 5)=3125).
fof(t53_asympt_1, axiom, k5_series_1(4, 4)=256).
fof(t54_asympt_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ~ (r1_xxreal_0(k2_xcmplx_0(k6_xcmplx_0(k1_square_1(A), A), 1), k5_numbers)) ) ) ).
fof(t55_asympt_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( (r1_xxreal_0(2, A) & r1_xxreal_0(k7_newton(A), 1)) ) ) ) ).
fof(t56_asympt_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(B, A) => r1_xxreal_0(k7_newton(B), k7_newton(A))) ) ) ) ) ).
fof(t57_asympt_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ~ ( (r1_xxreal_0(1, A) &  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ~ ( (r1_xxreal_0(k7_newton(B), A) &  ( ~ (r1_xxreal_0(k7_newton(k1_nat_1(B, 1)), A))  &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r1_xxreal_0(k7_newton(C), A) =>  (r1_xxreal_0(k7_newton(k1_nat_1(C, 1)), A) | C=B) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_asympt_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( (r1_xxreal_0(2, A) & r1_xxreal_0(A, k2_int_1(k7_xcmplx_0(A, 2)))) ) ) ) ).
fof(t59_asympt_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( (r1_xxreal_0(3, A) & r1_xxreal_0(k7_newton(A), A)) ) ) ) ).
fof(t60_asympt_1, axiom, v4_asympt_0(k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k3_asympt_1(1), k1_seq_1(1)))).
fof(t61_asympt_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ~ ( (r1_xxreal_0(2, A) & r1_xxreal_0(k5_series_1(2, A), k1_nat_1(A, 1))) ) ) ) ).
fof(t62_asympt_1, axiom,  (! [A] :  ( (v1_xreal_0(A) & v1_asympt_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (k8_nat_1(k1_numbers, B, k5_numbers)=k5_numbers &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  => k8_nat_1(k1_numbers, B, C)=k3_power(A, C)) ) ) )  =>  (r1_xxreal_0(A, 1) | v4_asympt_0(B)) ) ) ) ) ) ).
fof(t63_asympt_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_asympt_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (r2_tarski(A, k6_asympt_0(B)) & r2_tarski(B, k6_asympt_0(A)))  <=> k6_asympt_0(A)=k6_asympt_0(B)) ) ) ) ) ).
fof(t64_asympt_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_xxreal_0(A, B) & r1_xxreal_0(k5_numbers, C))  =>  (r1_xxreal_0(A, k5_numbers) | r1_xxreal_0(k2_power(A, C), k2_power(B, C))) ) ) ) ) ) ) ) ).
fof(t65_asympt_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ~ ( (r1_xxreal_0(4, A) & r1_xxreal_0(k5_series_1(2, A), k1_nat_1(k2_nat_1(2, A), 3))) ) ) ) ).
fof(t66_asympt_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ~ ( (r1_xxreal_0(6, A) & r1_xxreal_0(k5_series_1(2, A), k1_square_1(k1_nat_1(A, 1)))) ) ) ) ).
fof(t67_asympt_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( ( ~ (r1_xxreal_0(A, 6))  & r1_xxreal_0(k2_power(2, A), k1_square_1(A))) ) ) ) ).
fof(t68_asympt_1, axiom,  (! [A] :  ( (v1_xreal_0(A) & v2_xxreal_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (k8_nat_1(k1_numbers, B, k5_numbers)=k5_numbers &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  => k8_nat_1(k1_numbers, B, C)=k3_power(2, k2_power(C, A))) ) ) )  =>  (v2_comseq_2(k52_valued_1(k4_ordinal1, k1_numbers, k1_numbers, B, k3_asympt_1(A))) & k1_seq_2(k52_valued_1(k4_ordinal1, k1_numbers, k1_numbers, B, k3_asympt_1(A)))=k5_numbers) ) ) ) ) ) ).
fof(t69_asympt_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  =>  (v2_comseq_2(k52_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k2_asympt_1, k3_asympt_1(A))) & k1_seq_2(k52_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k2_asympt_1, k3_asympt_1(A)))=k5_numbers) ) ) ) ).
fof(t70_asympt_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ( (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r1_xxreal_0(C, B) => r1_xxreal_0(k5_numbers, k8_nat_1(k1_numbers, A, C))) ) )  => r1_xxreal_0(k5_numbers, k6_series_1(A, B))) ) ) ) ) ).
fof(t71_asympt_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r1_xxreal_0(D, C) => r1_xxreal_0(k8_nat_1(k1_numbers, A, D), k8_nat_1(k1_numbers, B, D))) ) )  => r1_xxreal_0(k6_series_1(A, C), k6_series_1(B, C))) ) ) ) ) ) ) ).
fof(t72_asympt_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  (v1_xreal_0(B) =>  ( (k8_nat_1(k1_numbers, A, k5_numbers)=k5_numbers &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  => k8_nat_1(k1_numbers, A, C)=B) ) ) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => k6_series_1(A, C)=k3_xcmplx_0(B, C)) ) ) ) ) ) ) ).
fof(t73_asympt_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => k2_xcmplx_0(k7_series_1(A, B, C), k8_nat_1(k1_numbers, A, k1_nat_1(B, 1)))=k7_series_1(A, k1_nat_1(B, 1), C)) ) ) ) ) ) ).
fof(t74_asympt_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (r1_xxreal_0(k1_nat_1(C, 1), D) &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( (r1_xxreal_0(k1_nat_1(C, 1), E) & r1_xxreal_0(E, D))  => r1_xxreal_0(k8_nat_1(k1_numbers, A, E), k8_nat_1(k1_numbers, B, E))) ) ) )  => r1_xxreal_0(k7_series_1(A, D, C), k7_series_1(B, D, C))) ) ) ) ) ) ) ) ) ).
fof(t75_asympt_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => r1_xxreal_0(k2_int_1(k7_xcmplx_0(A, 2)), A)) ) ).
fof(t76_asympt_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (k8_nat_1(k1_numbers, A, k5_numbers)=k5_numbers &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( ~ (r1_xxreal_0(D, k5_numbers))  => k8_nat_1(k1_numbers, A, D)=B) ) ) )  =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => k7_series_1(A, C, D)=k3_xcmplx_0(B, k6_xcmplx_0(C, D))) ) ) ) ) ) ) ) ) ).
fof(t77_asympt_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (v1_xreal_0(D) =>  ( (v2_comseq_2(A) &  (k1_seq_2(A)=D &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r1_xxreal_0(C, E) => k8_nat_1(k1_numbers, A, E)=k8_nat_1(k1_numbers, B, E)) ) ) ) )  =>  (v2_comseq_2(B) & k1_seq_2(B)=D) ) ) ) ) ) ) ) ) ) ).
fof(t78_asympt_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (r1_xxreal_0(1, A) => r1_xxreal_0(k2_xcmplx_0(k6_xcmplx_0(k1_square_1(A), A), 1), k1_square_1(A))) ) ) ).
fof(t79_asympt_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (r1_xxreal_0(1, A) => r1_xxreal_0(k1_square_1(A), k3_xcmplx_0(2, k2_xcmplx_0(k6_xcmplx_0(k1_square_1(A), A), 1)))) ) ) ).
fof(t80_asympt_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(1, A))  &  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (r1_xxreal_0(B, C) & r1_xxreal_0(k6_xcmplx_0(k3_xcmplx_0(C, k3_power(2, k2_xcmplx_0(1, A))), k3_xcmplx_0(8, k3_power(2, C))), k3_xcmplx_0(8, k3_power(2, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t81_asympt_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ~ ( (r1_xxreal_0(10, A) & r1_xxreal_0(k7_xcmplx_0(1, k2_power(2, k6_xcmplx_0(A, 9))), k7_xcmplx_0(k5_series_1(2, k2_nat_1(2, A)), k7_newton(A)))) ) ) ) ).
fof(t82_asympt_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (r1_xxreal_0(3, A) => r1_xxreal_0(k6_xcmplx_0(A, 1), k3_xcmplx_0(2, k6_xcmplx_0(A, 2)))) ) ) ).
fof(t83_asympt_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r1_xxreal_0(k5_numbers, A) => k2_power(A, k7_xcmplx_0(1, 2))=k3_square_1(A)) ) ) ).
fof(t84_asympt_1, axiom,  (? [A] :  (m1_subset_1(A, k4_ordinal1) &  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ~ ( (r1_xxreal_0(A, B) & r1_xxreal_0(k6_xcmplx_0(B, k3_xcmplx_0(k3_square_1(B), k3_power(2, B))), k7_xcmplx_0(B, 2))) ) ) ) ) ) ).
fof(t85_asympt_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (! [B] :  (v7_ordinal1(B) => k8_nat_1(k1_numbers, A, B)=k2_power(k2_xcmplx_0(1, k7_xcmplx_0(1, k1_nat_1(B, 1))), k1_nat_1(B, 1))) )  => v7_valued_0(A)) ) ) ).
fof(t86_asympt_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (r1_xxreal_0(1, A) => r1_xxreal_0(k2_power(k7_xcmplx_0(k1_nat_1(A, 1), A), A), k2_power(k7_xcmplx_0(k1_nat_1(A, 2), k1_nat_1(A, 1)), k1_nat_1(A, 1)))) ) ) ).
fof(t87_asympt_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(A, B) => r1_xxreal_0(k7_xcmplx_0(k4_newton(A, k1_nat_1(B, 1)), k1_nat_1(B, 1)), k4_newton(A, B))) ) ) ) ) ).
fof(t88_asympt_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (! [B] :  (v7_ordinal1(B) => k8_nat_1(k1_numbers, A, B)=k3_power(2, k7_newton(B))) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k8_nat_1(k1_numbers, A, B)=k6_series_1(k2_asympt_1, B)) ) ) ) ) ).
fof(t89_asympt_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(4, A) => r1_xxreal_0(k3_xcmplx_0(2, A), k3_xcmplx_0(A, k3_power(2, A)))) ) ) ).
fof(t90_asympt_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( (r1_xxreal_0(2, A) & r1_xxreal_0(k1_square_1(A), k1_nat_1(A, 1))) ) ) ) ).
fof(t91_asympt_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( (r1_xxreal_0(1, A) & r1_xxreal_0(k6_xcmplx_0(k5_series_1(2, k1_nat_1(A, 1)), k5_series_1(2, A)), 1)) ) ) ) ).
fof(t92_asympt_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( (r1_xxreal_0(2, A) & r2_tarski(k6_xcmplx_0(k5_series_1(2, A), 1), k5_asympt_1)) ) ) ) ).
fof(t93_asympt_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(k7_newton(A), B))  =>  (r1_xxreal_0(k7_newton(k1_nat_1(A, 1)), B) | k6_asympt_1(B)=k7_newton(A)) ) ) ) ) ) ).
fof(t94_asympt_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_xxreal_0(A, B) & r1_xxreal_0(1, C))  =>  (r1_xxreal_0(A, 1) | r1_xxreal_0(k3_power(B, C), k3_power(A, C))) ) ) ) ) ) ) ) ).
fof(dt_k1_asympt_1, axiom,  (! [A, B, C] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) & v1_xreal_0(C)) )  =>  (v1_funct_1(k1_asympt_1(A, B, C)) &  (v1_funct_2(k1_asympt_1(A, B, C), k4_ordinal1, k1_numbers) & m1_subset_1(k1_asympt_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k2_asympt_1, axiom,  (v1_funct_1(k2_asympt_1) &  (v1_funct_2(k2_asympt_1, k4_ordinal1, k1_numbers) & m1_subset_1(k2_asympt_1, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ).
fof(dt_k3_asympt_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_funct_1(k3_asympt_1(A)) &  (v1_funct_2(k3_asympt_1(A), k4_ordinal1, k1_numbers) & m1_subset_1(k3_asympt_1(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k4_asympt_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (v1_funct_1(k4_asympt_1(A)) &  (v1_funct_2(k4_asympt_1(A), k4_ordinal1, k1_numbers) & m1_subset_1(k4_asympt_1(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k5_asympt_1, axiom,  ( ~ (v1_xboole_0(k5_asympt_1))  & m1_subset_1(k5_asympt_1, k1_zfmisc_1(k4_ordinal1))) ).
fof(dt_k6_asympt_1, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k6_asympt_1(A), k4_ordinal1)) ) ).
fof(d6_asympt_1, axiom, k5_asympt_1=a_0_0_asympt_1).
fof(fraenkel_a_0_0_asympt_1, axiom,  (! [A] :  (r2_hidden(A, a_0_0_asympt_1) <=>  (? [B] :  (m1_subset_1(B, k4_ordinal1) & A=k5_series_1(2, B)) ) ) ) ).
fof(t1_asympt_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(1, A) => r1_xxreal_0(1, k5_series_1(A, B))) ) ) ) ) ).
fof(t2_asympt_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => r1_xxreal_0(A, k5_series_1(A, k1_nat_1(B, 1)))) ) ) ) ).
fof(t3_asympt_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(2, A) => r1_xxreal_0(k1_nat_1(B, 1), k5_series_1(A, B))) ) ) ) ) ).
fof(t4_asympt_2, axiom,  (! [A] :  (v7_ordinal1(A) => r1_xxreal_0(k3_xcmplx_0(2, A), k5_series_1(2, A))) ) ).
fof(t5_asympt_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(A, B) => r1_xxreal_0(k2_xcmplx_0(B, A), k5_series_1(2, B))) ) ) ) ) ).
fof(t6_asympt_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(k1_nat_1(k3_xcmplx_0(2, A), 1), B) => r1_xxreal_0(k5_series_1(2, A), k7_xcmplx_0(k5_series_1(2, B), B))) ) ) ) ) ).
fof(t7_asympt_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (r1_xxreal_0(B, C) =>  (r1_xxreal_0(A, 1) |  (r1_xxreal_0(B, k5_numbers) | r1_xxreal_0(k3_power(A, B), k3_power(A, C))) ) ) ) ) ) ) ) ) ).
fof(t8_asympt_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, 1))  & r1_xxreal_0(k2_power(B, k1_nat_1(A, 1)), k2_power(B, A))) ) ) ) ) ) ).
fof(t9_asympt_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(1, B) => r1_xxreal_0(k2_power(B, A), k2_power(B, k1_nat_1(A, 1)))) ) ) ) ) ).
fof(t10_asympt_2, axiom,  (? [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  &  (k9_xtuple_0(A)=k3_limfunc1(k5_numbers) &  ( (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, k3_limfunc1(k5_numbers)) => k1_funct_1(A, B)=k3_power(2, B)) ) )  &  (r2_fdiff_1(A, k3_limfunc1(k5_numbers)) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, k3_limfunc1(k5_numbers)) =>  (r1_fdiff_1(A, B) &  (k1_fdiff_1(A, B)=k7_xcmplx_0(k3_power(2, k4_power), B) &  ~ (r1_xxreal_0(k1_fdiff_1(A, B), k5_numbers)) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_asympt_2, axiom,  (? [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  &  (k3_limfunc1(k4_power)=k9_xtuple_0(A) &  ( (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, k9_xtuple_0(A)) => k1_funct_1(A, B)=k7_xcmplx_0(B, k3_power(2, B))) ) )  &  (r2_fdiff_1(A, k3_limfunc1(k4_power)) &  ( (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, k3_limfunc1(k4_power)) => r1_xxreal_0(k5_numbers, k1_fdiff_1(A, B))) ) )  & v7_valued_0(A)) ) ) ) ) ) ).
fof(t12_asympt_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) =>  (r1_xxreal_0(A, k4_power) | r1_xxreal_0(k7_xcmplx_0(A, k3_power(2, A)), k7_xcmplx_0(B, k3_power(2, B)))) ) ) ) ) ) ).
fof(t13_asympt_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k4_power))  &  (! [B] :  (v7_ordinal1(B) =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(B, C) &  ~ (r1_xxreal_0(k5_series_1(2, A), k7_xcmplx_0(C, k3_power(2, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t14_asympt_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (r1_xxreal_0(A, 1))  &  (! [B] :  (v7_ordinal1(B) =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(B, C) & r1_xxreal_0(k7_xcmplx_0(C, k3_power(A, C)), 4)) ) ) ) ) ) ) ) ) ).
fof(t15_asympt_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (r1_xxreal_0(A, 1))  &  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (? [D] :  (v7_ordinal1(D) &  (r1_xxreal_0(B, D) &  ~ (r1_xxreal_0(k5_series_1(D, A), k3_xcmplx_0(C, k5_series_1(A, D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_asympt_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, 1))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (? [D] :  (v7_ordinal1(D) &  (r1_xxreal_0(B, D) &  ~ (r1_xxreal_0(k5_series_1(2, D), k3_xcmplx_0(C, k5_series_1(D, A)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_asympt_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(A, B) => r2_tarski(k3_asympt_1(A), k6_asympt_0(k3_asympt_1(B)))) ) ) ) ) ).
fof(t18_asympt_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, 1))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (? [D] :  (v7_ordinal1(D) &  (r1_xxreal_0(B, D) &  ~ (r1_xxreal_0(k5_series_1(A, D), k3_xcmplx_0(C, k5_series_1(D, A)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_asympt_2, axiom,  (! [A] :  ( (v1_xreal_0(A) &  ~ (v3_xxreal_0(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(1, B) & r1_xxreal_0(k8_nat_1(k1_numbers, k3_asympt_1(A), B), k5_numbers)) ) ) ) ) ) ).
fof(d1_asympt_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_asympt_2(A) <=>  (? [B] :  (v7_ordinal1(B) & r2_tarski(A, k6_asympt_0(k3_asympt_1(B)))) ) ) ) ) ).
fof(t20_asympt_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( ~ (v1_asympt_2(A))  =>  (! [B] :  (v7_ordinal1(B) =>  ~ (r2_tarski(A, k6_asympt_0(k3_asympt_1(B)))) ) ) ) ) ) ).
fof(t21_asympt_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( ( (! [B] :  (v7_ordinal1(B) =>  ~ (r2_tarski(A, k6_asympt_0(k3_asympt_1(B)))) ) )  & v1_asympt_2(A)) ) ) ) ).
fof(t22_asympt_2, axiom,  (! [A] :  ( (v1_xreal_0(A) & v2_xxreal_0(A))  => v3_asympt_0(k1_asympt_1(A, 1, k5_numbers))) ) ).
fof(t23_asympt_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r1_xxreal_0(1, A) => v7_valued_0(k1_asympt_1(A, 1, k5_numbers))) ) ) ).
fof(t24_asympt_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (r1_xxreal_0(A, 1))  => v5_valued_0(k1_asympt_1(A, 1, k5_numbers))) ) ) ).
fof(t25_asympt_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (r1_xxreal_0(A, 1))  & v1_asympt_2(k1_asympt_1(A, 1, k5_numbers))) ) ) ) ).
fof(t26_asympt_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v1_relat_1(k18_valued_1(A, B)) &  (v5_relat_1(k18_valued_1(A, B), k1_numbers) &  (v5_ordinal1(k18_valued_1(A, B)) &  (v1_funct_1(k18_valued_1(A, B)) & v1_finset_1(k18_valued_1(A, B))) ) ) )  &  (k1_relset_1(k4_ordinal1, k18_valued_1(A, B))=k2_afinsq_1(A) &  (! [C] :  (r2_hidden(C, k2_afinsq_1(A)) => k1_funct_1(k18_valued_1(A, B), C)=k3_xcmplx_0(k1_funct_1(A, C), k1_funct_1(B, C))) ) ) ) ) ) ) ) ).
fof(t27_asympt_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k2_afinsq_1(A)) => k1_funct_1(k1_asympt_2(A, k1_asympt_1(B, 1, k5_numbers)), C)=k3_xcmplx_0(k1_funct_1(A, C), k5_series_1(B, C))) ) ) ) ) ) ) ).
fof(d2_asympt_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (B=k2_asympt_2(A) <=>  (! [C] :  (v7_ordinal1(C) => k8_nat_1(k1_numbers, B, C)=k7_afinsq_2(k1_asympt_2(A, k1_asympt_1(C, 1, k5_numbers)))) ) ) ) ) ) ) ).
fof(t28_asympt_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (k1_afinsq_1(A)=k1_nat_1(B, 1) &  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, k1_numbers) &  (v5_ordinal1(D) &  (v1_funct_1(D) & v1_finset_1(D)) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( (k1_afinsq_1(D)=B &  (D=k5_relat_1(A, B) &  (C=k1_funct_1(A, B) &  (A=k1_ordinal4(D, k5_afinsq_1(C)) &  (r2_funct_2(k4_ordinal1, k1_numbers, k2_asympt_2(A), k1_series_1(k1_numbers, k2_asympt_2(D), E)) &  (! [F] :  (v7_ordinal1(F) => k8_nat_1(k1_numbers, E, F)=k3_xcmplx_0(C, k5_series_1(F, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_asympt_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (k1_afinsq_1(A)=1 &  (! [C] :  (v1_xreal_0(C) =>  ~ ( (C=k1_funct_1(A, k5_numbers) &  (! [D] :  (v7_ordinal1(D) => k8_nat_1(k1_numbers, k2_asympt_2(A), D)=C) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_asympt_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (k1_afinsq_1(A)=1 & v4_partfun3(A))  => r2_tarski(k2_asympt_2(A), k6_asympt_0(k3_asympt_1(B)))) ) ) ) ) ).
fof(t31_asympt_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (r1_xxreal_0(k5_numbers, B) &  (! [D] :  (v7_ordinal1(D) => k8_nat_1(k1_numbers, C, D)=k3_xcmplx_0(B, k5_series_1(D, A))) ) )  => r2_tarski(C, k6_asympt_0(k3_asympt_1(A)))) ) ) ) ) ) ) ).
fof(t32_asympt_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(A, B) => r1_tarski(k6_asympt_0(k3_asympt_1(A)), k6_asympt_0(k3_asympt_1(B)))) ) ) ) ) ).
fof(t33_asympt_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k1_numbers) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v4_partfun3(B) & v1_finset_1(B)) ) ) ) )  =>  (k1_afinsq_1(B)=k1_nat_1(A, 1) => r2_tarski(k2_asympt_2(B), k6_asympt_0(k3_asympt_1(A)))) ) ) ) ) ).
fof(t34_asympt_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k1_numbers) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  =>  (? [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k1_numbers) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) )  &  (k1_afinsq_1(C)=k1_afinsq_1(B) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k2_afinsq_1(C)) => k1_funct_1(C, D)=k9_complex1(k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t35_asympt_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k1_numbers) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  =>  ( (k1_afinsq_1(B)=k1_afinsq_1(A) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k2_afinsq_1(B)) => k1_funct_1(B, C)=k9_complex1(k1_funct_1(A, C))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k8_nat_1(k1_numbers, k2_asympt_2(A), C), k8_nat_1(k1_numbers, k2_asympt_2(B), C))) ) ) ) ) ) ) ).
fof(t36_asympt_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k1_numbers) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  =>  ( (k1_afinsq_1(B)=k1_nat_1(A, 1) & v2_asympt_0(k2_asympt_2(B)))  => r2_tarski(k2_asympt_2(B), k6_asympt_0(k3_asympt_1(A)))) ) ) ) ) ).
fof(t37_asympt_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  => k3_xcmplx_0(B, k8_nat_1(k1_numbers, k3_asympt_1(A), B))=k8_nat_1(k1_numbers, k3_asympt_1(k1_nat_1(A, 1)), B)) ) ) ) ) ).
fof(t38_asympt_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  =>  (k1_afinsq_1(A)=k5_numbers =>  (! [B] :  (v7_ordinal1(B) => k8_nat_1(k1_numbers, k2_asympt_2(A), B)=k5_numbers) ) ) ) ) ).
fof(t39_asympt_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r2_tarski(A, k6_asympt_0(k3_asympt_1(B))) &  (! [C] :  (v7_ordinal1(C) =>  (? [D] :  (v7_ordinal1(D) &  (r1_xxreal_0(C, D) &  ~ (r1_xxreal_0(k8_nat_1(k1_numbers, A, D), k8_nat_1(k1_numbers, k3_asympt_1(k1_nat_1(B, 1)), D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_asympt_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  =>  (? [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k1_numbers) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  &  (B=k54_valued_1(A) &  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k8_nat_1(k1_numbers, k2_asympt_2(A), C), k8_nat_1(k1_numbers, k2_asympt_2(B), C))) ) ) ) ) ) ) ).
fof(t41_asympt_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k1_numbers) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  =>  (B=k54_valued_1(A) =>  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k9_complex1(k8_nat_1(k1_numbers, k2_asympt_2(A), C)), k8_nat_1(k1_numbers, k2_asympt_2(B), C))) ) ) ) ) ) ) ).
fof(t42_asympt_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k1_numbers) &  (v5_ordinal1(C) &  (v1_funct_1(C) &  (v4_partfun3(C) & v1_finset_1(C)) ) ) ) )  =>  ~ ( (k1_afinsq_1(C)=B &  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  (r1_xxreal_0(D, E) &  (? [F] :  (v7_ordinal1(F) &  (r2_tarski(F, k2_afinsq_1(C)) &  ~ (r1_xxreal_0(k3_xcmplx_0(k3_xcmplx_0(k1_funct_1(C, F), k5_series_1(E, F)), B), k3_xcmplx_0(A, k5_series_1(E, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_asympt_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k1_numbers) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (k1_afinsq_1(B)=A &  ( (! [E] :  (v7_ordinal1(E) => k8_nat_1(k1_numbers, D, E)=k3_xcmplx_0(C, k5_series_1(E, A))) )  &  (! [E] :  (v7_ordinal1(E) =>  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(E, F) &  ~ (r1_xxreal_0(k9_complex1(k8_nat_1(k1_numbers, k2_asympt_2(B), F)), k8_nat_1(k1_numbers, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_asympt_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k1_numbers) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  =>  (k1_afinsq_1(B)=k1_nat_1(A, 1) =>  (r1_xxreal_0(k1_funct_1(B, A), k5_numbers) | v2_asympt_0(k2_asympt_2(B))) ) ) ) ) ) ).
fof(t45_asympt_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k1_numbers) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  =>  (k1_afinsq_1(B)=k1_nat_1(A, 1) =>  (r1_xxreal_0(k1_funct_1(B, A), k5_numbers) | r2_tarski(k2_asympt_2(B), k6_asympt_0(k3_asympt_1(A)))) ) ) ) ) ) ).
fof(t46_asympt_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k1_numbers) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  =>  (k1_afinsq_1(B)=k1_nat_1(A, 1) =>  (r1_xxreal_0(k1_funct_1(B, A), k5_numbers) | v1_asympt_2(k2_asympt_2(B))) ) ) ) ) ) ).
fof(dt_k1_asympt_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (v1_relat_1(k1_asympt_2(A, B)) &  (v5_relat_1(k1_asympt_2(A, B), k1_numbers) &  (v5_ordinal1(k1_asympt_2(A, B)) &  (v1_funct_1(k1_asympt_2(A, B)) & v1_finset_1(k1_asympt_2(A, B))) ) ) ) ) ) ).
fof(commutativity_k1_asympt_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  => k1_asympt_2(A, B)=k1_asympt_2(B, A)) ) ).
fof(redefinition_k1_asympt_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  => k1_asympt_2(A, B)=k18_valued_1(A, B)) ) ).
fof(dt_k2_asympt_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  =>  (v1_funct_1(k2_asympt_2(A)) &  (v1_funct_2(k2_asympt_2(A), k4_ordinal1, k1_numbers) & m1_subset_1(k2_asympt_2(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(rc1_asympt_3, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k1_numbers) &  (v5_ordinal1(A) &  (v1_funct_1(A) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) &  (v1_finset_1(A) &  (v1_partfun3(A) & v1_afinsq_1(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_asympt_3, axiom,  (? [A] :  (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k1_numbers) &  ( ~ (v1_xboole_0(A))  &  (v5_ordinal1(A) &  (v1_funct_1(A) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) &  (v1_finset_1(A) &  (v1_partfun3(A) &  (v4_partfun3(A) & v1_afinsq_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_asympt_3, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  & v1_xreal_0(B))  =>  (v1_relat_1(k24_valued_1(A, B)) &  (v5_relat_1(k24_valued_1(A, B), k1_numbers) &  (v5_ordinal1(k24_valued_1(A, B)) &  (v1_funct_1(k24_valued_1(A, B)) & v1_finset_1(k24_valued_1(A, B))) ) ) ) ) ) ).
fof(fc2_asympt_3, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  ( ~ (v1_xboole_0(A))  &  (v5_ordinal1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_partfun3(A)) ) ) ) ) )  &  (v2_xxreal_0(B) & v1_xreal_0(B)) )  =>  (v1_relat_1(k24_valued_1(A, B)) &  (v5_relat_1(k24_valued_1(A, B), k1_numbers) &  ( ~ (v1_xboole_0(k24_valued_1(A, B)))  &  (v5_ordinal1(k24_valued_1(A, B)) &  (v1_funct_1(k24_valued_1(A, B)) &  (v1_finset_1(k24_valued_1(A, B)) & v1_partfun3(k24_valued_1(A, B))) ) ) ) ) ) ) ) ).
fof(cc1_asympt_3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers))) =>  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & v1_asympt_2(A)) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & v1_asympt_3(A)) ) ) ) ) ).
fof(rc3_asympt_3, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k1_numbers) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) & v1_asympt_3(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc3_asympt_3, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v1_asympt_3(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v1_asympt_3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (v1_funct_1(k1_valued_1(A, B)) &  (v1_funct_2(k1_valued_1(A, B), k4_ordinal1, k1_numbers) & v1_asympt_3(k1_valued_1(A, B))) ) ) ) ).
fof(fc4_asympt_3, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v1_asympt_3(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v1_asympt_3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (v1_funct_1(k18_valued_1(A, B)) &  (v1_funct_2(k18_valued_1(A, B), k4_ordinal1, k1_numbers) & v1_asympt_3(k18_valued_1(A, B))) ) ) ) ).
fof(fc5_asympt_3, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v1_asympt_3(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  & m1_subset_1(B, k1_numbers))  =>  (v1_funct_1(k24_valued_1(A, B)) &  (v1_funct_2(k24_valued_1(A, B), k4_ordinal1, k1_numbers) & v1_asympt_3(k24_valued_1(A, B))) ) ) ) ).
fof(fc6_asympt_3, axiom,  ~ (v1_xboole_0(k1_asympt_3)) ).
fof(fc7_asympt_3, axiom,  ( ~ (v2_struct_0(k2_asympt_3))  & v1_funcsdom(k2_asympt_3)) ).
fof(fc8_asympt_3, axiom,  (v13_algstr_0(k2_asympt_3) &  (v2_rlvect_1(k2_asympt_3) &  (v3_rlvect_1(k2_asympt_3) &  (v4_rlvect_1(k2_asympt_3) &  (v5_rlvect_1(k2_asympt_3) &  (v6_rlvect_1(k2_asympt_3) &  (v7_rlvect_1(k2_asympt_3) &  (v1_funcsdom(k2_asympt_3) &  (v2_funcsdom(k2_asympt_3) &  (v1_vectsp_1(k2_asympt_3) &  (v3_vectsp_1(k2_asympt_3) &  (v3_group_1(k2_asympt_3) & v5_group_1(k2_asympt_3)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc9_asympt_3, axiom,  (v1_funct_1(k1_seq_1(k5_numbers)) &  (v1_funct_2(k1_seq_1(k5_numbers), k4_ordinal1, k1_numbers) & v2_asympt_3(k1_seq_1(k5_numbers))) ) ).
fof(rc4_asympt_3, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k1_numbers) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) & v2_asympt_3(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc10_asympt_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_3(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (v1_funct_1(k54_valued_1(A)) &  (v1_funct_2(k54_valued_1(A), k4_ordinal1, k1_numbers) & v2_asympt_3(k54_valued_1(A))) ) ) ) ).
fof(fc11_asympt_3, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_3(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  & v1_xreal_0(B))  =>  (v1_funct_1(k24_valued_1(A, B)) &  (v1_funct_2(k24_valued_1(A, B), k4_ordinal1, k1_numbers) & v2_asympt_3(k24_valued_1(A, B))) ) ) ) ).
fof(fc12_asympt_3, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_3(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_asympt_3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (v1_funct_1(k1_valued_1(A, B)) &  (v1_funct_2(k1_valued_1(A, B), k4_ordinal1, k1_numbers) & v2_asympt_3(k1_valued_1(A, B))) ) ) ) ).
fof(fc13_asympt_3, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_3(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_asympt_3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (v1_funct_1(k18_valued_1(A, B)) &  (v1_funct_2(k18_valued_1(A, B), k4_ordinal1, k1_numbers) & v2_asympt_3(k18_valued_1(A, B))) ) ) ) ).
fof(cc2_asympt_3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers))) =>  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & v2_asympt_3(A)) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & v1_asympt_3(A)) ) ) ) ) ).
fof(fc14_asympt_3, axiom,  ~ (v1_xboole_0(k3_asympt_3)) ).
fof(fc15_asympt_3, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  (v5_ordinal1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v4_partfun3(A)) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v4_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (v1_relat_1(k18_valued_1(A, B)) &  (v1_funct_1(k18_valued_1(A, B)) & v4_partfun3(k18_valued_1(A, B))) ) ) ) ).
fof(fc16_asympt_3, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  (v5_ordinal1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v4_partfun3(A)) ) ) ) )  &  (v1_relat_1(B) &  (v5_relat_1(B, k1_numbers) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) & v4_partfun3(B)) ) ) ) ) )  =>  (v1_relat_1(k1_ordinal4(A, B)) &  (v5_ordinal1(k1_ordinal4(A, B)) &  (v1_funct_1(k1_ordinal4(A, B)) & v4_partfun3(k1_ordinal4(A, B))) ) ) ) ) ).
fof(fc17_asympt_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B))  &  ( ~ (v3_xxreal_0(C))  & v1_xreal_0(C)) ) )  =>  (v1_funct_1(k1_asympt_1(A, B, C)) &  (v1_funct_2(k1_asympt_1(A, B, C), k4_ordinal1, k1_numbers) & v4_partfun3(k1_asympt_1(A, B, C))) ) ) ) ).
fof(fc18_asympt_3, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_3(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  &  (v1_relat_1(B) &  (v5_relat_1(B, k1_numbers) &  ( ~ (v1_xboole_0(B))  &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_partfun3(B)) ) ) ) ) ) )  =>  (v1_funct_1(k18_valued_1(k2_asympt_2(B), A)) &  (v1_funct_2(k18_valued_1(k2_asympt_2(B), A), k4_ordinal1, k1_numbers) & v2_asympt_3(k18_valued_1(k2_asympt_2(B), A))) ) ) ) ).
fof(fc19_asympt_3, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_asympt_3(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v1_asympt_3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (v1_funct_1(k18_valued_1(B, A)) &  (v1_funct_2(k18_valued_1(B, A), k4_ordinal1, k1_numbers) & v2_asympt_3(k18_valued_1(B, A))) ) ) ) ).
fof(t1_asympt_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ (r1_xxreal_0(k2_xcmplx_0(k9_complex1(A), 1), A)) ) ) ).
fof(t2_asympt_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (? [B] :  (v7_ordinal1(B) &  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(B, C) & r1_xxreal_0(k7_xcmplx_0(C, k3_power(2, C)), A)) ) ) ) ) ) ) ) ).
fof(t3_asympt_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (v7_ordinal1(B) &  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(B, C) & r1_xxreal_0(k5_series_1(2, C), k5_series_1(C, A))) ) ) ) ) ) ) ) ).
fof(t4_asympt_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (v7_ordinal1(B) &  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(B, C) & r1_xxreal_0(k7_xcmplx_0(1, k5_series_1(C, A)), k7_xcmplx_0(1, k5_series_1(2, C)))) ) ) ) ) ) ) ) ).
fof(t5_asympt_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(2, A) =>  (! [B] :  (v7_ordinal1(B) =>  (? [C] :  (v7_ordinal1(C) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(C, D) & r1_xxreal_0(k7_xcmplx_0(1, k5_series_1(D, B)), k7_xcmplx_0(1, k5_series_1(A, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_asympt_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (v1_relat_1(k24_valued_1(A, B)) &  (v5_relat_1(k24_valued_1(A, B), k1_numbers) &  (v5_ordinal1(k24_valued_1(A, B)) &  (v1_funct_1(k24_valued_1(A, B)) & v1_finset_1(k24_valued_1(A, B))) ) ) ) ) ) ) ) ).
fof(t7_asympt_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  ( ~ (v1_xboole_0(A))  &  (v5_ordinal1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_partfun3(A)) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  =>  (v1_relat_1(k24_valued_1(A, B)) &  (v5_relat_1(k24_valued_1(A, B), k1_numbers) &  ( ~ (v1_xboole_0(k24_valued_1(A, B)))  &  (v5_ordinal1(k24_valued_1(A, B)) &  (v1_funct_1(k24_valued_1(A, B)) &  (v1_finset_1(k24_valued_1(A, B)) & v1_partfun3(k24_valued_1(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_asympt_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  ( ~ (v1_xboole_0(A))  &  (v5_ordinal1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_partfun3(A)) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ~ (r1_xxreal_0(k8_nat_1(k1_numbers, k2_asympt_2(A), B), k5_numbers)) ) ) ) ) ).
fof(t9_asympt_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  ( ~ (v1_xboole_0(A))  &  (v5_ordinal1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_partfun3(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k1_numbers) &  ( ~ (v1_xboole_0(B))  &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_partfun3(B)) ) ) ) ) )  =>  (! [C] :  (v1_xreal_0(C) =>  (B=k24_valued_1(A, C) =>  (! [D] :  (v7_ordinal1(D) => k8_nat_1(k1_numbers, k2_asympt_2(B), D)=k3_xcmplx_0(C, k8_nat_1(k1_numbers, k2_asympt_2(A), D))) ) ) ) ) ) ) ) ) ).
fof(d1_asympt_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_asympt_3(A) <=>  (? [B] :  (v7_ordinal1(B) & r2_tarski(k55_valued_1(k4_ordinal1, k1_numbers, A), k6_asympt_0(k3_asympt_1(B)))) ) ) ) ) ).
fof(t10_asympt_3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (r1_funct_2(k4_ordinal1, k1_numbers, k4_ordinal1, k4_ordinal1, B, k8_funcop_1(k4_ordinal1, k4_ordinal1, A)) => v1_asympt_3(B)) ) ) ) ) ).
fof(d2_asympt_3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k12_funcsdom(k4_ordinal1)))) =>  (A=k1_asympt_3 <=>  (! [B] :  (r2_hidden(B, A) <=>  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v1_asympt_3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ) ) ) ) ).
fof(d3_asympt_3, axiom,  (! [A] :  ( (v1_funcsdom(A) & l1_funcsdom(A))  =>  (A=k2_asympt_3 <=>  (u1_struct_0(A)=k1_asympt_3 &  (u2_algstr_0(A)=k1_realset1(k6_funcsdom(k4_ordinal1), k1_asympt_3) &  (u1_algstr_0(A)=k1_realset1(k5_funcsdom(k4_ordinal1), k1_asympt_3) &  (u1_rlvect_1(A)=k2_partfun1(k2_zfmisc_1(k1_numbers, k9_funct_2(k4_ordinal1, k1_numbers)), k9_funct_2(k4_ordinal1, k1_numbers), k7_funcsdom(k4_ordinal1), k2_zfmisc_1(k1_numbers, k1_asympt_3)) &  (u3_struct_0(A)=k9_funcsdom(k4_ordinal1) & u2_struct_0(A)=k8_funcsdom(k4_ordinal1)) ) ) ) ) ) ) ) ).
fof(t11_asympt_3, axiom, r1_tarski(u1_struct_0(k2_asympt_3), u1_struct_0(k12_funcsdom(k4_ordinal1)))).
fof(t12_asympt_3, axiom,  (! [A] :  (r1_struct_0(k2_asympt_3, A) <=>  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v1_asympt_3(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ) ).
fof(t13_asympt_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_asympt_3)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_asympt_3)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k12_funcsdom(k4_ordinal1))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k12_funcsdom(k4_ordinal1))) =>  ( (A=C & B=D)  => k6_algstr_0(k2_asympt_3, A, B)=k8_group_1(k12_funcsdom(k4_ordinal1), C, D)) ) ) ) ) ) ) ) ) ).
fof(t14_asympt_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_asympt_3)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_asympt_3)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k12_funcsdom(k4_ordinal1))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k12_funcsdom(k4_ordinal1))) =>  ( (A=C & B=D)  => k1_algstr_0(k2_asympt_3, A, B)=k3_rlvect_1(k12_funcsdom(k4_ordinal1), C, D)) ) ) ) ) ) ) ) ) ).
fof(t15_asympt_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_asympt_3)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k12_funcsdom(k4_ordinal1))) =>  (! [C] :  (m1_subset_1(C, k1_numbers) =>  (A=B => k1_rlvect_1(k2_asympt_3, A, C)=k1_rlvect_1(k12_funcsdom(k4_ordinal1), B, C)) ) ) ) ) ) ) ).
fof(t16_asympt_3, axiom, k4_struct_0(k2_asympt_3)=k4_struct_0(k12_funcsdom(k4_ordinal1))).
fof(t17_asympt_3, axiom, k5_struct_0(k2_asympt_3)=k5_struct_0(k12_funcsdom(k4_ordinal1))).
fof(t18_asympt_3, axiom,  ( ~ (v2_struct_0(k2_asympt_3))  &  (v13_algstr_0(k2_asympt_3) &  (v2_rlvect_1(k2_asympt_3) &  (v3_rlvect_1(k2_asympt_3) &  (v4_rlvect_1(k2_asympt_3) &  (v5_rlvect_1(k2_asympt_3) &  (v6_rlvect_1(k2_asympt_3) &  (v7_rlvect_1(k2_asympt_3) &  (v2_funcsdom(k2_asympt_3) &  (v1_vectsp_1(k2_asympt_3) &  (v3_vectsp_1(k2_asympt_3) &  (v3_group_1(k2_asympt_3) &  (v5_group_1(k2_asympt_3) & l1_funcsdom(k2_asympt_3)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_asympt_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_asympt_3)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_asympt_3)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_asympt_3)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (D=A &  (E=B & F=C) )  =>  (C=k3_rlvect_1(k2_asympt_3, A, B) <=>  (! [G] :  (v7_ordinal1(G) => k8_nat_1(k1_numbers, F, G)=k3_real_1(k8_nat_1(k1_numbers, D, G), k8_nat_1(k1_numbers, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_asympt_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_asympt_3)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_asympt_3)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_asympt_3)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (D=A &  (E=B & F=C) )  =>  (C=k8_group_1(k2_asympt_3, A, B) <=>  (! [G] :  (v7_ordinal1(G) => k8_nat_1(k1_numbers, F, G)=k4_real_1(k8_nat_1(k1_numbers, D, G), k8_nat_1(k1_numbers, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_asympt_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_asympt_3)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_asympt_3)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (C=A & D=B)  =>  (! [E] :  (v1_xreal_0(E) =>  (B=k1_rlvect_1(k2_asympt_3, A, E) <=>  (! [F] :  (v7_ordinal1(F) => k8_nat_1(k1_numbers, D, F)=k3_xcmplx_0(E, k8_nat_1(k1_numbers, C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_asympt_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v2_asympt_3(A) <=>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k1_numbers) &  ( ~ (v1_xboole_0(B))  &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_partfun3(B)) ) ) ) ) )  =>  (? [C] :  (v7_ordinal1(C) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(C, D) & r1_xxreal_0(k7_xcmplx_0(1, k8_nat_1(k1_numbers, k2_asympt_2(B), D)), k9_complex1(k8_nat_1(k1_numbers, A, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_asympt_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k1_numbers) &  ( ~ (v1_xboole_0(B))  &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_partfun3(B)) ) ) ) ) )  =>  ~ ( (! [C] :  (v7_ordinal1(C) => k8_nat_1(k1_numbers, k2_asympt_2(B), C)=A) ) ) ) ) ) ) ) ) ).
fof(t23_asympt_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v2_asympt_3(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  (! [C] :  (v7_ordinal1(C) =>  (? [D] :  (v7_ordinal1(D) &  (r1_xxreal_0(C, D) & r1_xxreal_0(B, k9_complex1(k8_nat_1(k1_numbers, A, D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_asympt_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v2_asympt_3(A) =>  (v2_comseq_2(A) & k1_seq_2(A)=k5_numbers) ) ) ) ).
fof(t25_asympt_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (! [B] :  (v7_ordinal1(B) => k8_nat_1(k1_numbers, A, B)=k7_xcmplx_0(1, k5_series_1(2, B))) )  => v2_asympt_3(A)) ) ) ).
fof(t26_asympt_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_asympt_3(A) &  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k9_complex1(k8_nat_1(k1_numbers, B, C)), k9_complex1(k8_nat_1(k1_numbers, A, C)))) ) )  => v2_asympt_3(B)) ) ) ) ) ).
fof(d5_asympt_3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_asympt_3)) =>  (A=k3_asympt_3 <=>  (! [B] :  (r2_hidden(B, A) <=>  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_asympt_3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ) ) ) ) ).
fof(t27_asympt_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_asympt_3)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_asympt_3)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (A=C & D=B)  => k3_rlvect_1(k2_asympt_3, A, B)=k1_series_1(k1_numbers, C, D)) ) ) ) ) ) ) ) ) ).
fof(t28_asympt_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_asympt_3)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_asympt_3)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (A=C & D=B)  => k8_group_1(k2_asympt_3, A, B)=k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, C, D)) ) ) ) ) ) ) ) ) ).
fof(t29_asympt_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_asympt_3)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (B=C => k1_rlvect_1(k2_asympt_3, B, A)=k26_valued_1(k4_ordinal1, k1_numbers, C, A)) ) ) ) ) ) ) ).
fof(t30_asympt_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_asympt_3)) =>  (r2_tarski(B, k3_asympt_3) => r2_tarski(k1_rlvect_1(k2_asympt_3, B, A), k3_asympt_3)) ) ) ) ) ).
fof(t31_asympt_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_asympt_3)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_asympt_3)) =>  ( (r2_tarski(A, k3_asympt_3) & r2_tarski(B, k3_asympt_3))  => r2_tarski(k3_rlvect_1(k2_asympt_3, A, B), k3_asympt_3)) ) ) ) ) ).
fof(t32_asympt_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_asympt_3)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_asympt_3)) =>  ( (r2_tarski(A, k3_asympt_3) & r2_tarski(B, k3_asympt_3))  => r2_tarski(k8_group_1(k2_asympt_3, A, B), k3_asympt_3)) ) ) ) ) ).
fof(d6_asympt_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (r1_asympt_3(A, B) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  (v2_asympt_3(C) &  (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k9_complex1(k5_real_1(k8_nat_1(k1_numbers, A, D), k8_nat_1(k1_numbers, B, D))), k9_complex1(k8_nat_1(k1_numbers, C, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t33_asympt_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (r1_asympt_3(A, B) & r1_asympt_3(B, C))  => r1_asympt_3(A, C)) ) ) ) ) ) ) ).
fof(t34_asympt_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (r1_asympt_3(A, B) <=> v2_asympt_3(k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B))) ) ) ) ) ).
fof(t35_asympt_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  ( ~ (v1_xboole_0(A))  &  (v5_ordinal1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_partfun3(A)) ) ) ) ) )  =>  (? [B] :  (v1_xreal_0(B) &  (? [C] :  (v7_ordinal1(C) &  (? [D] :  (v7_ordinal1(D) &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(D, E) => r1_xxreal_0(k8_nat_1(k1_numbers, k2_asympt_2(A), E), k3_xcmplx_0(B, k5_series_1(E, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_asympt_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (? [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k1_numbers) &  ( ~ (v1_xboole_0(C))  &  (v5_ordinal1(C) &  (v1_funct_1(C) &  (v1_finset_1(C) & v1_partfun3(C)) ) ) ) ) )  &  (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k3_xcmplx_0(A, k5_series_1(D, B)), k8_nat_1(k1_numbers, k2_asympt_2(C), D))) ) ) ) ) ) ) ) ).
fof(t37_asympt_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  ( ~ (v1_xboole_0(A))  &  (v5_ordinal1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_partfun3(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k1_numbers) &  ( ~ (v1_xboole_0(B))  &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_partfun3(B)) ) ) ) ) )  =>  (? [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k1_numbers) &  ( ~ (v1_xboole_0(C))  &  (v5_ordinal1(C) &  (v1_funct_1(C) &  (v1_finset_1(C) & v1_partfun3(C)) ) ) ) ) )  &  (? [D] :  (v7_ordinal1(D) &  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(D, E) => r1_xxreal_0(k4_real_1(k8_nat_1(k1_numbers, k2_asympt_2(A), E), k8_nat_1(k1_numbers, k2_asympt_2(B), E)), k8_nat_1(k1_numbers, k2_asympt_2(C), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_asympt_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v1_asympt_3(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (? [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k1_numbers) &  ( ~ (v1_xboole_0(B))  &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_partfun3(B)) ) ) ) ) )  &  (? [C] :  (v7_ordinal1(C) &  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(C, D) => r1_xxreal_0(k9_complex1(k8_nat_1(k1_numbers, A, D)), k8_nat_1(k1_numbers, k2_asympt_2(B), D))) ) ) ) ) ) ) ) ) ).
fof(t39_asympt_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_asympt_3)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_asympt_3)) =>  (r2_tarski(B, k3_asympt_3) => r2_tarski(k8_group_1(k2_asympt_3, A, B), k3_asympt_3)) ) ) ) ) ).
fof(dt_k1_asympt_3, axiom, m1_subset_1(k1_asympt_3, k1_zfmisc_1(u1_struct_0(k12_funcsdom(k4_ordinal1))))).
fof(dt_k2_asympt_3, axiom,  (v1_funcsdom(k2_asympt_3) & l1_funcsdom(k2_asympt_3)) ).
fof(dt_k3_asympt_3, axiom, m1_subset_1(k3_asympt_3, k1_zfmisc_1(k1_asympt_3))).
fof(symmetry_r1_asympt_3, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (r1_asympt_3(A, B) => r1_asympt_3(B, A)) ) ) ).
fof(reflexivity_r1_asympt_3, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  => r1_asympt_3(A, A)) ) ).
fof(fc1_autalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  ( ~ (v2_struct_0(k3_autalg_1(A)))  &  (v15_algstr_0(k3_autalg_1(A)) &  (v2_group_1(k3_autalg_1(A)) & v3_group_1(k3_autalg_1(A))) ) ) ) ) ).
fof(fc2_autalg_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v1_relat_1(k7_pboole(A, B, B)) &  (v2_relat_1(k7_pboole(A, B, B)) &  (v4_relat_1(k7_pboole(A, B, B), A) &  (v1_funct_1(k7_pboole(A, B, B)) & v1_partfun1(k7_pboole(A, B, B), A)) ) ) ) ) ) ).
fof(fc3_autalg_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => v2_msualg_3(k2_msualg_3(A, B), A, B, B)) ) ).
fof(fc4_autalg_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => v1_msualg_3(k2_msualg_3(A, B))) ) ).
fof(fc5_autalg_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  ( ~ (v2_struct_0(k7_autalg_1(A, B)))  &  (v15_algstr_0(k7_autalg_1(A, B)) &  (v2_group_1(k7_autalg_1(A, B)) & v3_group_1(k7_autalg_1(A, B))) ) ) ) ) ).
fof(t1_autalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  => r4_alg_1(A, A, k6_partfun1(u1_struct_0(A)))) ) ).
fof(d1_autalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) =>  (B=k1_autalg_1(A) <=>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (r2_tarski(C, B) <=> r4_alg_1(A, A, C)) ) ) ) ) ) ) ) ).
fof(t2_autalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  => r1_tarski(k1_autalg_1(A), k9_funct_2(u1_struct_0(A), u1_struct_0(A)))) ) ).
fof(t3_autalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  => r2_tarski(k6_partfun1(u1_struct_0(A)), k1_autalg_1(A))) ) ).
fof(t4_autalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  ( (m2_funct_2(B, u1_struct_0(A), u1_struct_0(A), k1_autalg_1(A)) & C=k2_funct_1(B))  => r4_alg_1(A, A, C)) ) ) ) ) ) ) ).
fof(t5_autalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m2_funct_2(B, u1_struct_0(A), u1_struct_0(A), k1_autalg_1(A)) => r2_tarski(k2_funct_1(B), k1_autalg_1(A))) ) ) ) ).
fof(t6_autalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m2_funct_2(B, u1_struct_0(A), u1_struct_0(A), k1_autalg_1(A)) =>  (! [C] :  (m2_funct_2(C, u1_struct_0(A), u1_struct_0(A), k1_autalg_1(A)) => r2_tarski(k1_partfun1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), C, B), k1_autalg_1(A))) ) ) ) ) ) ).
fof(d2_autalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k1_autalg_1(A), k1_autalg_1(A)), k1_autalg_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_autalg_1(A), k1_autalg_1(A)), k1_autalg_1(A))))) )  =>  (B=k2_autalg_1(A) <=>  (! [C] :  (m2_funct_2(C, u1_struct_0(A), u1_struct_0(A), k1_autalg_1(A)) =>  (! [D] :  (m2_funct_2(D, u1_struct_0(A), u1_struct_0(A), k1_autalg_1(A)) => k4_binop_1(k1_autalg_1(A), B, C, D)=k1_partfun1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), C, D)) ) ) ) ) ) ) ) ) ).
fof(d3_autalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  => k3_autalg_1(A)=g3_algstr_0(k1_autalg_1(A), k2_autalg_1(A))) ) ).
fof(t7_autalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_autalg_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_autalg_1(A))) =>  (! [D] :  (m2_funct_2(D, u1_struct_0(A), u1_struct_0(A), k1_autalg_1(A)) =>  (! [E] :  (m2_funct_2(E, u1_struct_0(A), u1_struct_0(A), k1_autalg_1(A)) =>  ( (B=D & C=E)  => k6_algstr_0(k3_autalg_1(A), B, C)=k1_partfun1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_autalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  => k6_partfun1(u1_struct_0(A))=k1_group_1(k3_autalg_1(A))) ) ).
fof(t9_autalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m2_funct_2(B, u1_struct_0(A), u1_struct_0(A), k1_autalg_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_autalg_1(A))) =>  (B=C => k2_funct_1(B)=k2_group_1(k3_autalg_1(A), C)) ) ) ) ) ) ) ).
fof(t10_autalg_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ( (r1_pzfmisc1(A, B, C) & r1_pzfmisc1(A, C, D))  => r1_pzfmisc1(A, B, D)) ) ) ) ) ) ) ) ).
fof(t11_autalg_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k1_tarski(A)) &  (v1_funct_1(B) & v1_partfun1(B, k1_tarski(A))) ) )  => B=k17_funcop_1(A, k1_funct_1(B, A))) ) ) ).
fof(t12_autalg_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  (m2_pboole(D, A, B, C) =>  ( (v1_msualg_3(D) & v2_msualg_3(D, A, B, C))  =>  (v1_msualg_3(k4_msualg_3(A, B, C, D)) & v2_msualg_3(k4_msualg_3(A, B, C, D), A, C, B)) ) ) ) ) ) ) ) ) ).
fof(t13_autalg_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  (m2_pboole(D, A, B, C) =>  ( (v1_msualg_3(D) & v2_msualg_3(D, A, B, C))  => r6_pboole(A, k4_msualg_3(A, C, B, k4_msualg_3(A, B, C, D)), D)) ) ) ) ) ) ) ) ).
fof(t14_autalg_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_funcop_1(B)) )  =>  ( (v1_msualg_3(A) & v1_msualg_3(B))  => v1_msualg_3(k8_pboole(A, B))) ) ) ) ) ).
fof(t15_autalg_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) ) )  =>  (! [E] :  (m2_pboole(E, A, B, C) =>  (! [F] :  (m2_pboole(F, A, C, D) =>  ( (v2_msualg_3(E, A, B, C) & v2_msualg_3(F, A, C, D))  => v2_msualg_3(k3_msualg_3(A, B, C, D, E, F), A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_autalg_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) ) )  =>  (! [E] :  (m2_pboole(E, A, B, C) =>  (! [F] :  (m2_pboole(F, A, C, D) =>  ( (v1_msualg_3(E) &  (v2_msualg_3(E, A, B, C) &  (v1_msualg_3(F) & v2_msualg_3(F, A, C, D)) ) )  => r6_pboole(A, k4_msualg_3(A, B, D, k3_msualg_3(A, B, C, D, E, F)), k3_msualg_3(A, D, C, B, k4_msualg_3(A, C, D, F), k4_msualg_3(A, B, C, E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_autalg_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  (m2_pboole(D, A, B, C) =>  (! [E] :  (m2_pboole(E, A, C, B) =>  ( (v1_msualg_3(D) &  (v2_msualg_3(D, A, B, C) & r6_pboole(A, k3_msualg_3(A, B, C, B, D, E), k2_msualg_3(A, B))) )  => r6_pboole(A, E, k4_msualg_3(A, B, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t18_autalg_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r1_pzfmisc1(A, B, C) => v2_relat_1(k7_pboole(A, B, C))) ) ) ) ) ) ).
fof(d4_autalg_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r1_pzfmisc1(A, B, C) => k4_autalg_1(A, B, C)=k4_card_3(k7_pboole(A, B, C))) ) ) ) ) ) ).
fof(t19_autalg_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r1_pzfmisc1(A, B, C) =>  (! [D] :  (r2_tarski(D, k4_autalg_1(A, B, C)) => m2_pboole(D, A, B, C)) ) ) ) ) ) ) ) ).
fof(t20_autalg_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r1_pzfmisc1(A, B, C) =>  (! [D] :  (m2_pboole(D, A, B, C) => r2_tarski(D, k4_autalg_1(A, B, C))) ) ) ) ) ) ) ) ).
fof(t21_autalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  => r2_tarski(k2_msualg_3(u1_struct_0(A), u3_msualg_1(A, B)), k4_autalg_1(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)))) ) ) ) ).
fof(d5_autalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k4_autalg_1(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)))))  =>  (C=k5_autalg_1(A, B) <=>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)) =>  (r2_tarski(D, C) <=> r4_msualg_3(A, B, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t22_autalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_autalg_1(C, u1_struct_0(A), u3_msualg_1(A, B), k5_autalg_1(A, B)) => r2_tarski(C, k4_autalg_1(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)))) ) ) ) ) ) ).
fof(t23_autalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  => r1_tarski(k5_autalg_1(A, B), k4_autalg_1(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)))) ) ) ) ).
fof(t24_autalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  => r2_tarski(k2_msualg_3(u1_struct_0(A), u3_msualg_1(A, B)), k5_autalg_1(A, B))) ) ) ) ).
fof(t25_autalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_autalg_1(C, u1_struct_0(A), u3_msualg_1(A, B), k5_autalg_1(A, B)) => r2_tarski(k4_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), C), k5_autalg_1(A, B))) ) ) ) ) ) ).
fof(t26_autalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_autalg_1(C, u1_struct_0(A), u3_msualg_1(A, B), k5_autalg_1(A, B)) =>  (! [D] :  (m1_autalg_1(D, u1_struct_0(A), u3_msualg_1(A, B), k5_autalg_1(A, B)) => r2_tarski(k3_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), u3_msualg_1(A, B), D, C), k5_autalg_1(A, B))) ) ) ) ) ) ) ) ).
fof(t27_autalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m2_pboole(B, u1_struct_0(k6_msualg_1(A)), u3_msualg_1(k6_msualg_1(A), k9_msualg_1(A)), u3_msualg_1(k6_msualg_1(A), k9_msualg_1(A))) =>  (! [C] :  (m2_funct_2(C, u1_struct_0(A), u1_struct_0(A), k1_autalg_1(A)) =>  (B=k17_funcop_1(k5_numbers, C) => r2_tarski(B, k5_autalg_1(k6_msualg_1(A), k9_msualg_1(A)))) ) ) ) ) ) ) ).
fof(d6_autalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k5_autalg_1(A, B), k5_autalg_1(A, B)), k5_autalg_1(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k5_autalg_1(A, B), k5_autalg_1(A, B)), k5_autalg_1(A, B))))) )  =>  (C=k6_autalg_1(A, B) <=>  (! [D] :  (m1_autalg_1(D, u1_struct_0(A), u3_msualg_1(A, B), k5_autalg_1(A, B)) =>  (! [E] :  (m1_autalg_1(E, u1_struct_0(A), u3_msualg_1(A, B), k5_autalg_1(A, B)) => k4_binop_1(k5_autalg_1(A, B), C, D, E)=k3_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), u3_msualg_1(A, B), D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_autalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  => k7_autalg_1(A, B)=g3_algstr_0(k5_autalg_1(A, B), k6_autalg_1(A, B))) ) ) ) ).
fof(t28_autalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_autalg_1(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_autalg_1(A, B))) =>  (! [E] :  (m1_autalg_1(E, u1_struct_0(A), u3_msualg_1(A, B), k5_autalg_1(A, B)) =>  (! [F] :  (m1_autalg_1(F, u1_struct_0(A), u3_msualg_1(A, B), k5_autalg_1(A, B)) =>  ( (C=E & D=F)  => k6_algstr_0(k7_autalg_1(A, B), C, D)=k3_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), u3_msualg_1(A, B), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_autalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  => k2_msualg_3(u1_struct_0(A), u3_msualg_1(A, B))=k1_group_1(k7_autalg_1(A, B))) ) ) ) ).
fof(t30_autalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_autalg_1(C, u1_struct_0(A), u3_msualg_1(A, B), k5_autalg_1(A, B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_autalg_1(A, B))) =>  (C=D => k4_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), C)=k2_group_1(k7_autalg_1(A, B), D)) ) ) ) ) ) ) ) ) ).
fof(t31_autalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (r1_unialg_2(A, B) =>  (! [C] :  (m2_pboole(C, u1_struct_0(k6_msualg_1(A)), u3_msualg_1(k6_msualg_1(A), k9_msualg_1(A)), u3_msualg_1(k6_msualg_1(A), k1_msuhom_1(k6_msualg_1(A), k6_msualg_1(B), k9_msualg_1(B)))) =>  (v1_funct_1(k1_funct_1(C, k5_numbers)) &  (v1_funct_2(k1_funct_1(C, k5_numbers), u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(k1_funct_1(C, k5_numbers), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) ) ) ) ) ).
fof(t32_autalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m2_funct_2(B, u1_struct_0(A), u1_struct_0(A), k1_autalg_1(A)) => m2_pboole(k17_funcop_1(k5_numbers, B), u1_struct_0(k6_msualg_1(A)), u3_msualg_1(k6_msualg_1(A), k9_msualg_1(A)), u3_msualg_1(k6_msualg_1(A), k9_msualg_1(A)))) ) ) ) ).
fof(t33_autalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (k9_xtuple_0(B)=k1_autalg_1(A) &  (! [C] :  (r2_hidden(C, k1_autalg_1(A)) => k1_funct_1(B, C)=k17_funcop_1(k5_numbers, C)) ) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k3_autalg_1(A)), u1_struct_0(k7_autalg_1(k6_msualg_1(A), k9_msualg_1(A)))) &  (v1_group_6(B, k3_autalg_1(A), k7_autalg_1(k6_msualg_1(A), k9_msualg_1(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_autalg_1(A)), u1_struct_0(k7_autalg_1(k6_msualg_1(A), k9_msualg_1(A))))))) ) ) ) ) ) ) ) ).
fof(t34_autalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k3_autalg_1(A)), u1_struct_0(k7_autalg_1(k6_msualg_1(A), k9_msualg_1(A)))) &  (v1_group_6(B, k3_autalg_1(A), k7_autalg_1(k6_msualg_1(A), k9_msualg_1(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_autalg_1(A)), u1_struct_0(k7_autalg_1(k6_msualg_1(A), k9_msualg_1(A))))))) ) )  =>  ( (! [C] :  (r2_hidden(C, k1_autalg_1(A)) => k1_funct_1(B, C)=k17_funcop_1(k5_numbers, C)) )  => v3_funct_2(B, u1_struct_0(k3_autalg_1(A)), u1_struct_0(k7_autalg_1(k6_msualg_1(A), k9_msualg_1(A))))) ) ) ) ) ).
fof(t35_autalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  => r2_group_6(k3_autalg_1(A), k7_autalg_1(k6_msualg_1(A), k9_msualg_1(A)))) ) ).
fof(dt_k1_autalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  => m1_funct_2(k1_autalg_1(A), u1_struct_0(A), u1_struct_0(A))) ) ).
fof(dt_k2_autalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (v1_funct_1(k2_autalg_1(A)) &  (v1_funct_2(k2_autalg_1(A), k2_zfmisc_1(k1_autalg_1(A), k1_autalg_1(A)), k1_autalg_1(A)) & m1_subset_1(k2_autalg_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_autalg_1(A), k1_autalg_1(A)), k1_autalg_1(A))))) ) ) ) ).
fof(dt_k3_autalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  ( ~ (v2_struct_0(k3_autalg_1(A)))  &  (v2_group_1(k3_autalg_1(A)) &  (v3_group_1(k3_autalg_1(A)) & l3_algstr_0(k3_autalg_1(A))) ) ) ) ) ).
fof(dt_k4_autalg_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  ~ (v1_xboole_0(k4_autalg_1(A, B, C))) ) ) ).
fof(dt_m1_autalg_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k4_autalg_1(A, B, B)))) )  =>  (! [D] :  (m1_autalg_1(D, A, B, C) => m2_pboole(D, A, B, B)) ) ) ) ).
fof(existence_m1_autalg_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k4_autalg_1(A, B, B)))) )  =>  (? [D] : m1_autalg_1(D, A, B, C)) ) ) ).
fof(redefinition_m1_autalg_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k4_autalg_1(A, B, B)))) )  =>  (! [D] :  (m1_autalg_1(D, A, B, C) <=> m1_subset_1(D, C)) ) ) ) ).
fof(dt_k5_autalg_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  ( ~ (v1_xboole_0(k5_autalg_1(A, B)))  & m1_subset_1(k5_autalg_1(A, B), k1_zfmisc_1(k4_autalg_1(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))))) ) ) ).
fof(dt_k6_autalg_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  (v1_funct_1(k6_autalg_1(A, B)) &  (v1_funct_2(k6_autalg_1(A, B), k2_zfmisc_1(k5_autalg_1(A, B), k5_autalg_1(A, B)), k5_autalg_1(A, B)) & m1_subset_1(k6_autalg_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k5_autalg_1(A, B), k5_autalg_1(A, B)), k5_autalg_1(A, B))))) ) ) ) ).
fof(dt_k7_autalg_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  ( ~ (v2_struct_0(k7_autalg_1(A, B)))  &  (v2_group_1(k7_autalg_1(A, B)) &  (v3_group_1(k7_autalg_1(A, B)) & l3_algstr_0(k7_autalg_1(A, B))) ) ) ) ) ).
fof(t1_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (m1_subset_1(D, u1_struct_0(B)) => r1_struct_0(B, k2_group_3(A, D, C))) ) ) ) )  <=> v1_group_3(B, A)) ) ) ) ) ).
fof(d1_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) =>  (B=k1_autgroup(A) <=>  ( (! [C] :  (m2_funct_2(C, u1_struct_0(A), u1_struct_0(A), B) =>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(A)) &  (v1_group_6(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) )  &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(A)) &  (v1_group_6(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (r2_tarski(C, B) <=>  (v2_funct_1(C) & v2_funct_2(C, u1_struct_0(A))) ) ) ) ) ) ) ) ) ) ).
fof(t2_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  => r1_tarski(k1_autgroup(A), k9_funct_2(u1_struct_0(A), u1_struct_0(A)))) ) ).
fof(t3_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  => m2_funct_2(k6_partfun1(u1_struct_0(A)), u1_struct_0(A), u1_struct_0(A), k1_autgroup(A))) ) ).
fof(t4_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v1_group_6(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (r2_tarski(B, k1_autgroup(A)) <=> v3_funct_2(B, u1_struct_0(A), u1_struct_0(A))) ) ) ) ) ).
fof(t5_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m2_funct_2(B, u1_struct_0(A), u1_struct_0(A), k1_autgroup(A)) =>  (v1_funct_1(k2_funct_1(B)) &  (v1_funct_2(k2_funct_1(B), u1_struct_0(A), u1_struct_0(A)) &  (v1_group_6(k2_funct_1(B), A, A) & m1_subset_1(k2_funct_1(B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ) ) ) ).
fof(t6_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m2_funct_2(B, u1_struct_0(A), u1_struct_0(A), k1_autgroup(A)) => m2_funct_2(k2_funct_1(B), u1_struct_0(A), u1_struct_0(A), k1_autgroup(A))) ) ) ) ).
fof(t7_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m2_funct_2(B, u1_struct_0(A), u1_struct_0(A), k1_autgroup(A)) =>  (! [C] :  (m2_funct_2(C, u1_struct_0(A), u1_struct_0(A), k1_autgroup(A)) => m2_funct_2(k1_partfun1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), C, B), u1_struct_0(A), u1_struct_0(A), k1_autgroup(A))) ) ) ) ) ) ).
fof(d2_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k1_autgroup(A), k1_autgroup(A)), k1_autgroup(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_autgroup(A), k1_autgroup(A)), k1_autgroup(A))))) )  =>  (B=k2_autgroup(A) <=>  (! [C] :  (m2_funct_2(C, u1_struct_0(A), u1_struct_0(A), k1_autgroup(A)) =>  (! [D] :  (m2_funct_2(D, u1_struct_0(A), u1_struct_0(A), k1_autgroup(A)) => k4_binop_1(k1_autgroup(A), B, C, D)=k1_partfun1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), D, C)) ) ) ) ) ) ) ) ) ).
fof(d3_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  => k3_autgroup(A)=g3_algstr_0(k1_autgroup(A), k2_autgroup(A))) ) ).
fof(t8_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_autgroup(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_autgroup(A))) =>  (! [D] :  (m2_funct_2(D, u1_struct_0(A), u1_struct_0(A), k1_autgroup(A)) =>  (! [E] :  (m2_funct_2(E, u1_struct_0(A), u1_struct_0(A), k1_autgroup(A)) =>  ( (B=D & C=E)  => k6_algstr_0(k3_autgroup(A), B, C)=k1_partfun1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  => k6_partfun1(u1_struct_0(A))=k1_group_1(k3_autgroup(A))) ) ).
fof(t10_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m2_funct_2(B, u1_struct_0(A), u1_struct_0(A), k1_autgroup(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_autgroup(A))) =>  (B=C => k2_funct_1(B)=k2_group_1(k3_autgroup(A), C)) ) ) ) ) ) ) ).
fof(d4_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) =>  (B=k4_autgroup(A) <=>  (! [C] :  (m2_funct_2(C, u1_struct_0(A), u1_struct_0(A), k9_funct_2(u1_struct_0(A), u1_struct_0(A))) =>  (r2_tarski(C, B) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(A), C, E)=k2_group_3(A, E, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  => r1_tarski(k4_autgroup(A), k9_funct_2(u1_struct_0(A), u1_struct_0(A)))) ) ).
fof(t12_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m2_funct_2(B, u1_struct_0(A), u1_struct_0(A), k4_autgroup(A)) => m2_funct_2(B, u1_struct_0(A), u1_struct_0(A), k1_autgroup(A))) ) ) ) ).
fof(t13_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  => r1_tarski(k4_autgroup(A), k1_autgroup(A))) ) ).
fof(t14_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m2_funct_2(B, u1_struct_0(A), u1_struct_0(A), k4_autgroup(A)) =>  (! [C] :  (m2_funct_2(C, u1_struct_0(A), u1_struct_0(A), k4_autgroup(A)) => k1_binop_1(k2_autgroup(A), B, C)=k1_partfun1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), C, B)) ) ) ) ) ) ).
fof(t15_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  => m2_funct_2(k6_partfun1(u1_struct_0(A)), u1_struct_0(A), u1_struct_0(A), k4_autgroup(A))) ) ).
fof(t16_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m2_funct_2(B, u1_struct_0(A), u1_struct_0(A), k4_autgroup(A)) => m2_funct_2(k2_funct_1(B), u1_struct_0(A), u1_struct_0(A), k4_autgroup(A))) ) ) ) ).
fof(t17_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m2_funct_2(B, u1_struct_0(A), u1_struct_0(A), k4_autgroup(A)) =>  (! [C] :  (m2_funct_2(C, u1_struct_0(A), u1_struct_0(A), k4_autgroup(A)) => m2_funct_2(k1_partfun1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), C, B), u1_struct_0(A), u1_struct_0(A), k4_autgroup(A))) ) ) ) ) ) ).
fof(d5_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v15_algstr_0(B) &  (v1_group_3(B, k3_autgroup(A)) & m1_group_2(B, k3_autgroup(A))) )  =>  (B=k5_autgroup(A) <=> u1_struct_0(B)=k4_autgroup(A)) ) ) ) ) ).
fof(t18_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_autgroup(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_autgroup(A))) =>  (! [D] :  (m2_funct_2(D, u1_struct_0(A), u1_struct_0(A), k4_autgroup(A)) =>  (! [E] :  (m2_funct_2(E, u1_struct_0(A), u1_struct_0(A), k4_autgroup(A)) =>  ( (B=D & C=E)  => k6_algstr_0(k5_autgroup(A), B, C)=k1_partfun1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  => k6_partfun1(u1_struct_0(A))=k1_group_1(k5_autgroup(A))) ) ).
fof(t20_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m2_funct_2(B, u1_struct_0(A), u1_struct_0(A), k4_autgroup(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_autgroup(A))) =>  (B=C => k2_funct_1(B)=k2_group_1(k5_autgroup(A), C)) ) ) ) ) ) ) ).
fof(d6_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_funct_2(C, u1_struct_0(A), u1_struct_0(A), k4_autgroup(A)) =>  (C=k6_autgroup(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(A), C, D)=k2_group_3(A, D, B)) ) ) ) ) ) ) ) ) ).
fof(t21_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_funct_2(u1_struct_0(A), u1_struct_0(A), k6_autgroup(A, k6_algstr_0(A, B, C)), k1_partfun1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), k6_autgroup(A, B), k6_autgroup(A, C)))) ) ) ) ) ) ).
fof(t22_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  => r2_funct_2(u1_struct_0(A), u1_struct_0(A), k6_autgroup(A, k1_group_1(A)), k6_partfun1(u1_struct_0(A)))) ) ).
fof(t23_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(A), k6_autgroup(A, k1_group_1(A)), B)=B) ) ) ) ).
fof(t24_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r2_funct_2(u1_struct_0(A), u1_struct_0(A), k1_partfun1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), k6_autgroup(A, k2_group_1(A, B)), k6_autgroup(A, B)), k6_autgroup(A, k1_group_1(A)))) ) ) ) ).
fof(t25_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r2_funct_2(u1_struct_0(A), u1_struct_0(A), k1_partfun1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), k6_autgroup(A, B), k6_autgroup(A, k2_group_1(A, B))), k6_autgroup(A, k1_group_1(A)))) ) ) ) ).
fof(t26_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_autgroup(A, k2_group_1(A, B))=k2_funct_1(k6_autgroup(A, B))) ) ) ) ).
fof(t27_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (r2_funct_2(u1_struct_0(A), u1_struct_0(A), k1_partfun1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), k6_autgroup(A, k1_group_1(A)), k6_autgroup(A, B)), k6_autgroup(A, B)) & r2_funct_2(u1_struct_0(A), u1_struct_0(A), k1_partfun1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), k6_autgroup(A, B), k6_autgroup(A, k1_group_1(A))), k6_autgroup(A, B))) ) ) ) ) ).
fof(t28_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m2_funct_2(B, u1_struct_0(A), u1_struct_0(A), k4_autgroup(A)) =>  (r2_funct_2(u1_struct_0(A), u1_struct_0(A), k1_partfun1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), k6_autgroup(A, k1_group_1(A)), B), B) & r2_funct_2(u1_struct_0(A), u1_struct_0(A), k1_partfun1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), B, k6_autgroup(A, k1_group_1(A))), B)) ) ) ) ) ).
fof(t29_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  => r2_group_6(k5_autgroup(A), k5_group_6(A, k10_group_5(A)))) ) ).
fof(t30_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_autgroup(A))) => B=k1_group_1(k5_autgroup(A))) ) ) ) ) ).
fof(dt_k1_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  => m1_funct_2(k1_autgroup(A), u1_struct_0(A), u1_struct_0(A))) ) ).
fof(dt_k2_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (v1_funct_1(k2_autgroup(A)) &  (v1_funct_2(k2_autgroup(A), k2_zfmisc_1(k1_autgroup(A), k1_autgroup(A)), k1_autgroup(A)) & m1_subset_1(k2_autgroup(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_autgroup(A), k1_autgroup(A)), k1_autgroup(A))))) ) ) ) ).
fof(dt_k3_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  ( ~ (v2_struct_0(k3_autgroup(A)))  &  (v15_algstr_0(k3_autgroup(A)) &  (v2_group_1(k3_autgroup(A)) &  (v3_group_1(k3_autgroup(A)) & l3_algstr_0(k3_autgroup(A))) ) ) ) ) ) ).
fof(dt_k4_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  => m1_funct_2(k4_autgroup(A), u1_struct_0(A), u1_struct_0(A))) ) ).
fof(dt_k5_autgroup, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (v15_algstr_0(k5_autgroup(A)) &  (v1_group_3(k5_autgroup(A), k3_autgroup(A)) & m1_group_2(k5_autgroup(A), k3_autgroup(A))) ) ) ) ).
fof(dt_k6_autgroup, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => m2_funct_2(k6_autgroup(A, B), u1_struct_0(A), u1_struct_0(A), k4_autgroup(A))) ) ).
fof(t1_axioms, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  ~ ( ( (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r2_hidden(C, A) & r2_hidden(D, B))  => r1_xxreal_0(C, D)) ) ) ) )  &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (r2_hidden(D, A) &  (r2_hidden(E, B) &  ~ ( (r1_xxreal_0(D, C) & r1_xxreal_0(C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_axioms, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_hidden(A, k4_ordinal1) & r2_hidden(B, k4_ordinal1))  => r2_tarski(k2_xcmplx_0(A, B), k4_ordinal1)) ) ) ) ) ).
fof(t3_axioms, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  ( (r2_tarski(k5_numbers, A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => r2_tarski(k2_xcmplx_0(B, 1), A)) ) ) )  => r1_tarski(k4_ordinal1, A)) ) ) ).
fof(t4_axioms, axiom,  (! [A] :  (v7_ordinal1(A) => A=a_1_0_axioms(A)) ) ).
fof(fraenkel_a_1_0_axioms, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_0_axioms(B)) <=>  (? [C] :  (v7_ordinal1(C) &  (A=C &  ~ (r1_xxreal_0(B, C)) ) ) ) ) ) ) ).
fof(cc1_bagord_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( (v1_funct_1(C) & v1_funct_2(C, A, B))  =>  (v1_funct_1(C) &  (v1_partfun1(C, A) & v1_funct_2(C, A, B)) ) ) ) ) ) ) ).
fof(rc1_bagord_2, axiom,  (? [A] :  (l1_orders_2(A) &  ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) & v2_necklace(A)) ) ) ) ).
fof(rc2_bagord_2, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, A) &  (v5_relat_2(B) & v8_relat_2(B)) ) ) ) ) ) ) ).
fof(fc1_bagord_2, axiom,  (! [A] :  ( (v4_orders_2(A) & l1_orders_2(A))  => v8_relat_2(u1_orders_2(A))) ) ).
fof(fc2_bagord_2, axiom,  (! [A] :  ( (v2_necklace(A) & l1_orders_2(A))  => v5_relat_2(u1_orders_2(A))) ) ).
fof(fc3_bagord_2, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  &  (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) )  =>  (v1_relat_1(k7_finseq_1(B, C)) &  (v5_relat_1(k7_finseq_1(B, C), A) &  (v1_funct_1(k7_finseq_1(B, C)) & v1_finseq_1(k7_finseq_1(B, C))) ) ) ) ) ).
fof(fc4_bagord_2, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  & v7_ordinal1(C))  =>  (v1_relat_1(k16_finseq_1(C, B)) &  (v5_relat_1(k16_finseq_1(C, B), A) &  (v1_funct_1(k16_finseq_1(C, B)) & v1_finseq_1(k16_finseq_1(C, B))) ) ) ) ) ).
fof(cc2_bagord_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k17_monoid_1(A))) =>  (v4_relat_1(B, A) & v4_valued_0(B)) ) ) ) ).
fof(cc3_bagord_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k17_monoid_1(A))) => v1_partfun1(B, A)) ) ) ).
fof(cc4_bagord_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k17_monoid_1(A))) => v2_pre_poly(B)) ) ) ).
fof(rc3_bagord_2, axiom,  (? [A] :  (l1_bagord_2(A) & v1_bagord_2(A)) ) ).
fof(rc4_bagord_2, axiom,  (? [A] :  (l2_bagord_2(A) & v2_bagord_2(A)) ) ).
fof(cc5_bagord_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (! [B] :  (m1_bagord_2(B, A) =>  ~ (v2_struct_0(B)) ) ) ) ) ).
fof(rc5_bagord_2, axiom,  (! [A] :  (l4_algstr_0(A) =>  (? [B] :  (m1_bagord_2(B, A) & v2_bagord_2(B)) ) ) ) ).
fof(cc6_bagord_2, axiom,  (! [A, B] :  (m1_bagord_2(B, k17_monoid_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (v1_relat_1(C) & v1_funct_1(C)) ) ) ) ) ).
fof(cc7_bagord_2, axiom,  (! [A, B] :  (m1_bagord_2(B, k17_monoid_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (v4_relat_1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) ) ) ).
fof(cc8_bagord_2, axiom,  (! [A, B] :  (m1_bagord_2(B, k17_monoid_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => v1_partfun1(C, A)) ) ) ) ).
fof(cc9_bagord_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k15_pre_poly(A)) =>  (v1_relat_1(B) & v1_funct_1(B)) ) ) ) ).
fof(fc5_bagord_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v2_necklace(A) & l1_orders_2(A)) ) )  =>  (v4_orders_2(k1_bagord_2(A)) &  (v2_necklace(k1_bagord_2(A)) & v2_bagord_2(k1_bagord_2(A))) ) ) ) ).
fof(fc6_bagord_2, axiom,  (! [A] :  (v5_relat_2(k2_bagord_2(A)) & v8_relat_2(k2_bagord_2(A))) ) ).
fof(fc7_bagord_2, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (v1_relat_1(k5_finseq_1(B)) &  (v5_relat_1(k5_finseq_1(B), k15_pre_poly(A)) &  (v1_funct_1(k5_finseq_1(B)) & v1_finseq_1(k5_finseq_1(B))) ) ) ) ) ).
fof(fc8_bagord_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v2_necklace(A) & l1_orders_2(A)) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) ) )  => v4_bagord_2(k7_bagord_2(A, B), A, B)) ) ).
fof(fc9_bagord_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v2_necklace(A) & l1_orders_2(A)) ) )  =>  (v4_orders_2(k9_bagord_2(A)) &  (v2_necklace(k9_bagord_2(A)) & v2_bagord_2(k9_bagord_2(A))) ) ) ) ).
fof(fc10_bagord_2, axiom,  (! [A, B] :  ( (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => v8_relat_2(k10_bagord_2(A, B))) ) ).
fof(fc11_bagord_2, axiom,  (! [A, B] :  ( (v5_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => v5_relat_2(k10_bagord_2(A, B))) ) ).
fof(fc12_bagord_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v2_necklace(A) & l1_orders_2(A)) ) )  =>  (v4_orders_2(k11_bagord_2(A)) &  (v2_necklace(k11_bagord_2(A)) & v2_bagord_2(k11_bagord_2(A))) ) ) ) ).
fof(t1_bagord_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => B=k1_nat_1(k7_nat_d(A, k7_nat_d(A, B)), k7_nat_d(B, A))) ) ) ) ).
fof(t2_bagord_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => r1_xxreal_0(k6_xcmplx_0(B, A), k7_nat_d(B, A))) ) ) ) ).
fof(t3_bagord_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (B=k2_xcmplx_0(k7_nat_d(A, C), D) =>  (r1_xxreal_0(k7_nat_d(A, B), C) & r1_xxreal_0(k7_nat_d(B, A), D)) ) ) ) ) ) ) ) ) ) ).
fof(t4_bagord_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(C, A) & B=k2_xcmplx_0(k7_nat_d(A, C), D))  => k7_nat_d(C, k7_nat_d(A, B))=k7_nat_d(D, k7_nat_d(B, A))) ) ) ) ) ) ) ) ) ).
fof(t5_bagord_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(C, A) & r1_xxreal_0(B, k2_xcmplx_0(k7_nat_d(A, C), E)))  =>  (r1_xxreal_0(k1_nat_1(C, k7_nat_d(B, E)), A) & k2_xcmplx_0(k7_nat_d(k2_xcmplx_0(k7_nat_d(A, C), E), B), D)=k2_xcmplx_0(k7_nat_d(A, k1_nat_1(C, k7_nat_d(B, E))), k2_xcmplx_0(k7_nat_d(E, B), D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_bagord_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(k2_xcmplx_0(A, B), k5_numbers))  &  (r1_xxreal_0(A, k5_numbers) & r1_xxreal_0(B, k5_numbers)) ) ) ) ) ) ) ).
fof(t7_bagord_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (v5_relat_1(k7_finseq_1(B, C), A) =>  (v5_relat_1(B, A) & v5_relat_1(C, A)) ) ) ) ) ) ) ).
fof(t8_bagord_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ~ ( (r2_hidden(A, k10_xtuple_0(B)) &  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  ~ (B=k7_finseq_1(k7_finseq_1(C, k9_finseq_1(A)), D)) ) ) ) ) ) ) ) ) ) ).
fof(t9_bagord_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r2_xboole_0(A, B) <=>  ( ~ (r1_xxreal_0(k3_finseq_1(B), k3_finseq_1(A)))  &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(A)) => k1_funct_1(A, C)=k1_funct_1(B, C)) ) ) ) ) ) ) ) ) ).
fof(t10_bagord_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r2_xboole_0(k7_finseq_1(C, A), k7_finseq_1(C, B)) <=> r2_xboole_0(A, B)) ) ) ) ) ) ) ).
fof(t11_bagord_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_necklace(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_bagord_2(A, B, C) <=> r2_orders_2(A, B, C)) ) ) ) ) ) ) ).
fof(d1_bagord_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v4_valued_0(A)) )  => k13_pre_poly(A)=k8_relat_1(A, k6_subset_1(k4_ordinal1, k6_domain_1(k4_ordinal1, k5_numbers)))) ) ).
fof(t12_bagord_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, u1_struct_0(k17_monoid_1(B))) <=>  (v1_relat_1(A) &  (v4_relat_1(A, B) &  (v1_funct_1(A) &  (v1_partfun1(A, B) &  (v4_valued_0(A) & v2_pre_poly(A)) ) ) ) ) ) ) ) ).
fof(t13_bagord_2, axiom,  (! [A] : k5_struct_0(k17_monoid_1(A))=k16_pre_poly(A)) ).
fof(d2_bagord_2, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_bagord_2(A, B, C) <=>  ( ~ (r1_orders_2(A, B, C))  &  ~ (r1_orders_2(A, C, B)) ) ) ) ) ) ) ) ) ).
fof(d3_bagord_2, axiom,  (! [A] :  (l4_algstr_0(A) =>  (! [B] :  (l2_bagord_2(B) =>  (m1_bagord_2(B, A) <=> g4_algstr_0(u1_struct_0(B), u2_algstr_0(B), u3_struct_0(B))=g4_algstr_0(u1_struct_0(A), u2_algstr_0(A), u3_struct_0(A))) ) ) ) ) ).
fof(t14_bagord_2, axiom,  (! [A] :  (! [B] :  (l4_algstr_0(B) =>  (! [C] :  (m1_bagord_2(C, B) =>  (m1_subset_1(A, u1_struct_0(C)) <=> m1_subset_1(A, u1_struct_0(B))) ) ) ) ) ) ).
fof(t15_bagord_2, axiom,  (! [A] :  (l4_algstr_0(A) =>  (! [B] :  (m1_bagord_2(B, A) => k5_struct_0(A)=k5_struct_0(B)) ) ) ) ).
fof(t16_bagord_2, axiom,  (! [A] :  (! [B] :  (m1_bagord_2(B, k17_monoid_1(A)) => u1_struct_0(B)=k15_pre_poly(A)) ) ) ).
fof(t17_bagord_2, axiom,  (! [A] :  (l4_algstr_0(A) =>  (! [B] :  ( (v2_bagord_2(B) & m1_bagord_2(B, A))  =>  (! [C] :  ( (v2_bagord_2(C) & m1_bagord_2(C, A))  =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(C)) =>  ( (D=F & E=G)  =>  (r1_orders_2(B, D, E) <=> r1_orders_2(C, F, G)) ) ) ) ) ) ) ) ) )  => B=C) ) ) ) ) ) ) ).
fof(d4_bagord_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( (v2_bagord_2(B) & m1_bagord_2(B, k17_monoid_1(u1_struct_0(A))))  =>  (B=k1_bagord_2(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r1_orders_2(B, C, D) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  ( ~ (k5_struct_0(B)=E)  &  (r3_pre_poly(u1_struct_0(A), E, D) &  (C=k11_pre_poly(u1_struct_0(A), k12_pre_poly(u1_struct_0(A), D, E), F) &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( ( ~ (r1_xxreal_0(k1_funct_1(F, G), k5_numbers))  &  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ~ ( ( ~ (r1_xxreal_0(k1_funct_1(E, H), k5_numbers))  & r1_orders_2(A, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_bagord_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  => C=k11_pre_poly(A, k12_pre_poly(A, B, k12_pre_poly(A, B, C)), k12_pre_poly(A, C, B))) ) ) ) ) ).
fof(t19_bagord_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) )  =>  (C=k11_pre_poly(A, k12_pre_poly(A, B, D), E) =>  (r3_pre_poly(A, k12_pre_poly(A, B, C), D) & r3_pre_poly(A, k12_pre_poly(A, C, B), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_bagord_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) )  =>  ( (r3_pre_poly(A, D, B) & C=k11_pre_poly(A, k12_pre_poly(A, B, D), E))  => k12_pre_poly(A, D, k12_pre_poly(A, B, C))=k12_pre_poly(A, E, k12_pre_poly(A, C, B))) ) ) ) ) ) ) ) ) ) ).
fof(t21_bagord_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  ~ ( (r3_pre_poly(A, C, B) &  ( ~ (C=D)  & B=k11_pre_poly(A, k12_pre_poly(A, B, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(t22_bagord_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  (m1_rewrite1(C, B) =>  ( ~ (r1_xxreal_0(k3_finseq_1(C), 1))  => r2_tarski(k1_funct_1(C, k3_finseq_1(C)), A)) ) ) ) ) ) ) ).
fof(t23_bagord_2, axiom,  (! [A] :  (! [B] :  ( (v5_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (! [C] :  (m1_rewrite1(C, B) => v2_funct_1(C)) ) ) ) ) ).
fof(t24_bagord_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v2_necklace(A) & l1_orders_2(A)) ) )  =>  (! [B] :  ~ ( (v1_finset_1(B) &  ( (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & r2_tarski(C, B)) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ (r3_waybel_4(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t25_bagord_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  => r3_pre_poly(A, k12_pre_poly(A, B, C), B)) ) ) ) ) ).
fof(t26_bagord_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  ~ ( (k12_pre_poly(A, B, C)=k16_pre_poly(A) &  ( ~ (B=C)  & k12_pre_poly(A, C, B)=k16_pre_poly(A)) ) ) ) ) ) ) ) ).
fof(d5_bagord_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v2_necklace(A) & l1_orders_2(A)) ) )  =>  (! [B] :  ( (v2_bagord_2(B) & m1_bagord_2(B, k17_monoid_1(u1_struct_0(A))))  =>  (B=k1_bagord_2(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r1_orders_2(B, C, D) <=>  ( ~ (C=D)  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (r1_xxreal_0(k1_funct_1(C, E), k1_funct_1(D, E)))  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r1_bagord_2(A, E, F) &  ~ (r1_xxreal_0(k1_funct_1(D, F), k1_funct_1(C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_bagord_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) &  (v1_partfun1(F, A) &  (v4_valued_0(F) & v2_pre_poly(F)) ) ) ) )  =>  ( (r3_pre_poly(A, D, B) & r3_pre_poly(A, C, k11_pre_poly(A, k12_pre_poly(A, B, D), F)))  =>  (r3_pre_poly(A, k11_pre_poly(A, D, k12_pre_poly(A, C, F)), B) & k11_pre_poly(A, k12_pre_poly(A, k11_pre_poly(A, k12_pre_poly(A, B, D), F), C), E)=k11_pre_poly(A, k12_pre_poly(A, B, k11_pre_poly(A, D, k12_pre_poly(A, C, F))), k11_pre_poly(A, k12_pre_poly(A, F, C), E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_bagord_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A)))) =>  (B=k2_bagord_2(A) <=>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (r2_hidden(k4_tarski(C, D), B) <=>  ( ~ (C=D)  & r3_pre_poly(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t28_bagord_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  ( (r3_pre_poly(A, B, C) & r3_pre_poly(A, C, D))  => r3_pre_poly(A, B, D)) ) ) ) ) ) ) ) ).
fof(t29_bagord_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v2_necklace(A) & l1_orders_2(A)) ) )  => r1_relset_1(k15_pre_poly(u1_struct_0(A)), k15_pre_poly(u1_struct_0(A)), k2_bagord_2(u1_struct_0(A)), u1_orders_2(k1_bagord_2(A)))) ) ).
fof(t30_bagord_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v2_necklace(A) & l1_orders_2(A)) ) )  =>  (v1_xboole_0(u1_orders_2(A)) => u1_orders_2(k1_bagord_2(A))=k2_bagord_2(u1_struct_0(A))) ) ) ).
fof(t31_bagord_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v2_necklace(A) & l1_orders_2(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v4_orders_2(B) &  (v2_necklace(B) & l1_orders_2(B)) ) )  =>  ( (u1_struct_0(A)=u1_struct_0(B) & r1_relset_1(u1_struct_0(A), u1_struct_0(A), u1_orders_2(A), u1_orders_2(B)))  => r1_relset_1(u1_struct_0(k1_bagord_2(A)), u1_struct_0(k1_bagord_2(A)), u1_orders_2(k1_bagord_2(A)), u1_orders_2(k1_bagord_2(B)))) ) ) ) ) ).
fof(d7_bagord_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k15_pre_poly(A)) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (C=k3_bagord_2(A, B) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k15_pre_poly(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k15_pre_poly(A))))) )  &  (C=k8_nat_1(k15_pre_poly(A), D, k3_finseq_1(B)) &  (k8_nat_1(k15_pre_poly(A), D, k5_numbers)=k16_pre_poly(A) &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) &  (v1_partfun1(F, A) &  (v4_valued_0(F) & v2_pre_poly(F)) ) ) ) )  =>  (F=k1_funct_1(B, k1_nat_1(E, 1)) =>  (r1_xxreal_0(k3_finseq_1(B), E) | k8_nat_1(k15_pre_poly(A), D, k1_nat_1(E, 1))=k11_pre_poly(A, k8_nat_1(k15_pre_poly(A), D, E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_bagord_2, axiom,  (! [A] : k3_bagord_2(A, k2_pre_poly(k15_pre_poly(A)))=k16_pre_poly(A)) ).
fof(t33_bagord_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k15_pre_poly(A)) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  => k3_bagord_2(A, k7_finseq_1(B, k9_finseq_1(C)))=k11_pre_poly(A, k3_bagord_2(A, B), C)) ) ) ) ) ).
fof(t34_bagord_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  => k3_bagord_2(A, k9_finseq_1(B))=B) ) ) ).
fof(t35_bagord_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k15_pre_poly(A)) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k15_pre_poly(A)) &  (v1_funct_1(C) & v1_finseq_1(C)) ) )  => k3_bagord_2(A, k7_finseq_1(B, C))=k11_pre_poly(A, k3_bagord_2(A, B), k3_bagord_2(A, C))) ) ) ) ) ).
fof(t36_bagord_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k15_pre_poly(A)) &  (v1_funct_1(C) & v1_finseq_1(C)) ) )  => k3_bagord_2(A, k7_finseq_1(k9_finseq_1(B), C))=k11_pre_poly(A, B, k3_bagord_2(A, C))) ) ) ) ) ).
fof(t37_bagord_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k15_pre_poly(A)) &  (v1_funct_1(C) & v1_finseq_1(C)) ) )  =>  (r2_tarski(B, k10_xtuple_0(C)) => r3_pre_poly(A, B, k3_bagord_2(A, C))) ) ) ) ) ) ).
fof(t38_bagord_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k15_pre_poly(A)) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  =>  (! [C] :  ~ ( (r2_hidden(C, k13_pre_poly(k3_bagord_2(A, B))) &  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  ~ ( (r2_tarski(D, k10_xtuple_0(B)) & r2_hidden(C, k13_pre_poly(D))) ) ) ) ) ) ) ) ) ) ).
fof(d8_bagord_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k15_pre_poly(A)) &  (v1_funct_1(C) & v1_finseq_1(C)) ) )  =>  (m2_bagord_2(C, A, B) <=> B=k3_bagord_2(A, C)) ) ) ) ) ) ).
fof(d9_bagord_2, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_bagord_2(B, k17_monoid_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m2_bagord_2(D, u1_struct_0(A), C) =>  (v3_bagord_2(D, A, B, C) <=>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(E, k4_finseq_1(D)) & r2_tarski(k1_nat_1(E, 1), k4_finseq_1(D)))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  ( (F=k1_funct_1(D, E) & G=k1_funct_1(D, k1_nat_1(E, 1)))  => r1_orders_2(B, G, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_bagord_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  (m2_bagord_2(C, u1_struct_0(A), B) =>  (v4_bagord_2(C, A, B) <=>  ( (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) &  (v1_partfun1(D, u1_struct_0(A)) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (r2_tarski(D, k10_xtuple_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( ~ (r1_xxreal_0(k1_funct_1(D, E), k5_numbers))  => k1_funct_1(D, E)=k1_funct_1(B, E)) ) ) ) ) )  &  ( (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) &  (v1_partfun1(D, u1_struct_0(A)) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (r2_tarski(D, k10_xtuple_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( ( ~ (r1_xxreal_0(k1_funct_1(D, E), k5_numbers))  &  ( ~ (r1_xxreal_0(k1_funct_1(D, F), k5_numbers))  &  ( ~ (E=F)  &  ~ (r2_bagord_2(A, E, F)) ) ) ) ) ) ) ) ) ) ) )  &  ( (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) &  (v1_partfun1(D, u1_struct_0(A)) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  ~ ( (r2_tarski(D, k10_xtuple_0(C)) & D=k16_pre_poly(u1_struct_0(A))) ) ) )  &  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(D, k4_finseq_1(C)) & r2_tarski(k1_nat_1(D, 1), k4_finseq_1(C)))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (r1_xxreal_0(k1_funct_1(k7_partfun1(k15_pre_poly(u1_struct_0(A)), C, k1_nat_1(D, 1)), E), k5_numbers))  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( ( ~ (r1_xxreal_0(k1_funct_1(k7_partfun1(k15_pre_poly(u1_struct_0(A)), C, D), F), k5_numbers))  & r1_orders_2(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_bagord_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v2_necklace(A) & l1_orders_2(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (v4_bagord_2(k4_bagord_2(u1_struct_0(A), B), A, B) <=>  ( ~ (B=k16_pre_poly(u1_struct_0(A)))  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (r1_xxreal_0(k1_funct_1(B, C), k5_numbers))  &  ( ~ (r1_xxreal_0(k1_funct_1(B, D), k5_numbers))  &  ( ~ (C=D)  &  ~ (r2_bagord_2(A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_bagord_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k15_pre_poly(A)) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (m2_bagord_2(k7_finseq_1(k4_bagord_2(A, C), B), A, D) <=>  (r3_pre_poly(A, C, D) & m2_bagord_2(B, A, k12_pre_poly(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t41_bagord_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v2_necklace(A) & l1_orders_2(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  (m2_bagord_2(D, u1_struct_0(A), k12_pre_poly(u1_struct_0(A), C, B)) =>  (! [E] :  (m2_bagord_2(E, u1_struct_0(A), C) =>  ( (E=k7_finseq_1(k4_bagord_2(u1_struct_0(A), B), D) & v4_bagord_2(E, A, C))  => v4_bagord_2(D, A, k12_pre_poly(u1_struct_0(A), C, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_bagord_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (D=k5_bagord_2(A, B, C) <=>  (! [E] :  (r2_hidden(E, A) =>  ( (r2_hidden(E, C) => k1_funct_1(D, E)=k1_funct_1(B, E))  &  ( ~ (r2_hidden(E, C))  => k1_funct_1(D, E)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_bagord_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  => k13_pre_poly(k5_bagord_2(A, C, B))=k3_xboole_0(B, k13_pre_poly(C))) ) ) ) ).
fof(t43_bagord_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  => k11_pre_poly(A, k5_bagord_2(A, C, B), k5_bagord_2(A, C, k6_subset_1(A, B)))=C) ) ) ) ).
fof(t44_bagord_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  => r3_pre_poly(A, k5_bagord_2(A, C, B), C)) ) ) ) ).
fof(t45_bagord_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (r1_tarski(k13_pre_poly(C), B) => k5_bagord_2(A, C, B)=C) ) ) ) ) ).
fof(t46_bagord_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  => k13_pre_poly(k12_pre_poly(A, C, k5_bagord_2(A, C, B)))=k6_subset_1(k13_pre_poly(C), B)) ) ) ) ).
fof(t47_bagord_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v2_necklace(A) & l1_orders_2(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m2_bagord_2(E, u1_struct_0(A), k12_pre_poly(u1_struct_0(A), C, B)) =>  (! [F] :  (m2_bagord_2(F, u1_struct_0(A), C) =>  ( (v4_bagord_2(F, A, C) & F=k7_finseq_1(k4_bagord_2(u1_struct_0(A), B), E))  =>  (r1_xxreal_0(k1_funct_1(B, D), k5_numbers) | k1_funct_1(B, D)=k1_funct_1(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_bagord_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v2_necklace(A) & l1_orders_2(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m2_bagord_2(F, u1_struct_0(A), k12_pre_poly(u1_struct_0(A), C, B)) =>  (! [G] :  (m2_bagord_2(G, u1_struct_0(A), C) =>  ( (v4_bagord_2(G, A, C) & G=k7_finseq_1(k4_bagord_2(u1_struct_0(A), B), F))  =>  (r1_xxreal_0(k1_funct_1(B, D), k5_numbers) |  (r1_xxreal_0(k1_funct_1(B, E), k5_numbers) |  (D=E | r2_bagord_2(A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_bagord_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v2_necklace(A) & l1_orders_2(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  (m2_bagord_2(D, u1_struct_0(A), k12_pre_poly(u1_struct_0(A), C, B)) =>  (! [E] :  (m2_bagord_2(E, u1_struct_0(A), C) =>  ~ ( (v4_bagord_2(E, A, C) &  (E=k7_finseq_1(k4_bagord_2(u1_struct_0(A), B), D) & B=k16_pre_poly(u1_struct_0(A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_bagord_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v2_necklace(A) & l1_orders_2(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m2_bagord_2(E, u1_struct_0(A), C) =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, u1_struct_0(A)) &  (v1_funct_1(F) &  (v1_partfun1(F, u1_struct_0(A)) &  (v4_valued_0(F) & v2_pre_poly(F)) ) ) ) )  =>  (! [G] :  ( (v1_relat_1(G) &  (v5_relat_1(G, k15_pre_poly(u1_struct_0(A))) &  (v1_funct_1(G) & v1_finseq_1(G)) ) )  =>  ~ ( (v4_bagord_2(E, A, C) &  (E=k7_finseq_1(k10_finseq_1(B, F), G) &  ( ~ (r1_xxreal_0(k1_funct_1(F, D), k5_numbers))  &  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ~ ( ( ~ (r1_xxreal_0(k1_funct_1(B, H), k5_numbers))  & r1_bagord_2(A, D, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_bagord_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v4_orders_2(B) &  (v2_necklace(B) & l1_orders_2(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  ( (r2_tarski(C, A) &  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r2_tarski(D, A) =>  (D=C | r2_bagord_2(B, C, D)) ) ) ) )  => r3_waybel_4(B, A, C)) ) ) ) ) ) ).
fof(t52_bagord_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v2_necklace(A) & l1_orders_2(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) &  (v1_partfun1(D, u1_struct_0(A)) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m2_bagord_2(F, u1_struct_0(A), k12_pre_poly(u1_struct_0(A), C, B)) =>  (! [G] :  (m2_bagord_2(G, u1_struct_0(A), C) =>  ~ ( (v4_bagord_2(G, A, C) &  (G=k7_finseq_1(k4_bagord_2(u1_struct_0(A), B), F) &  (r2_tarski(D, k10_xtuple_0(F)) &  ( ~ (r1_xxreal_0(k1_funct_1(D, E), k5_numbers))  &  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ~ ( ( ~ (r1_xxreal_0(k1_funct_1(B, H), k5_numbers))  & r1_bagord_2(A, E, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_bagord_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v2_necklace(A) & l1_orders_2(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m2_bagord_2(E, u1_struct_0(A), k12_pre_poly(u1_struct_0(A), C, B)) =>  (! [F] :  (m2_bagord_2(F, u1_struct_0(A), C) =>  ( (v4_bagord_2(F, A, C) & F=k7_finseq_1(k4_bagord_2(u1_struct_0(A), B), E))  =>  (r3_waybel_4(A, k13_pre_poly(C), D) <=>  ~ (r1_xxreal_0(k1_funct_1(B, D), k5_numbers)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_bagord_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k15_pre_poly(A)) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  =>  ( (k3_bagord_2(A, B)=k16_pre_poly(A) &  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  ~ ( (r2_tarski(C, k10_xtuple_0(B)) & C=k16_pre_poly(A)) ) ) ) )  => B=k1_xboole_0) ) ) ) ).
fof(t56_bagord_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  ~ ( ( ~ (B=k16_pre_poly(A))  & k11_pre_poly(A, B, C)=k16_pre_poly(A)) ) ) ) ) ) ) ).
fof(t57_bagord_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v2_necklace(A) & l1_orders_2(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  (m2_bagord_2(C, u1_struct_0(A), B) =>  (! [D] :  (m2_bagord_2(D, u1_struct_0(A), B) =>  ( (v4_bagord_2(C, A, B) & v4_bagord_2(D, A, B))  => C=D) ) ) ) ) ) ) ) ) ).
fof(t59_bagord_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v2_necklace(A) & l1_orders_2(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (B=k16_pre_poly(u1_struct_0(A)) <=> k8_bagord_2(A, B)=k1_xboole_0) ) ) ) ) ).
fof(d13_bagord_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v2_necklace(A) & l1_orders_2(A)) ) )  =>  (! [B] :  ( (v2_bagord_2(B) & m1_bagord_2(B, k17_monoid_1(u1_struct_0(A))))  =>  (B=k9_bagord_2(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r1_orders_2(B, C, D) <=>  ( ~ (C=D)  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (r1_xxreal_0(k1_funct_1(C, E), k5_numbers))  &  (r1_xxreal_0(k1_funct_1(D, E), k1_funct_1(C, E)) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( ( ~ (r1_xxreal_0(k1_funct_1(D, F), k5_numbers))  & r1_bagord_2(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_bagord_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), k3_finseq_2(A)))) =>  (C=k10_bagord_2(A, B) <=>  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, A) &  (v1_funct_1(D) & v1_finseq_1(D)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v5_relat_1(E, A) &  (v1_funct_1(E) & v1_finseq_1(E)) ) )  =>  (r2_hidden(k4_tarski(D, E), C) <=>  ~ ( ( ~ (r2_xboole_0(D, E))  &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r2_tarski(F, k4_finseq_1(D)) &  (r2_tarski(F, k4_finseq_1(E)) &  (r2_hidden(k4_tarski(k1_funct_1(D, F), k1_funct_1(E, F)), B) &  (! [G] :  (v7_ordinal1(G) =>  (r1_xxreal_0(1, G) =>  (r1_xxreal_0(F, G) | k1_funct_1(D, G)=k1_funct_1(E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_bagord_2, axiom,  (! [A] :  (! [B] :  ( (v5_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v1_funct_1(C) & v1_finseq_1(C)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, A) &  (v1_funct_1(D) & v1_finseq_1(D)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v5_relat_1(E, A) &  (v1_funct_1(E) & v1_finseq_1(E)) ) )  =>  (r2_hidden(k4_tarski(C, D), k10_bagord_2(A, B)) <=> r2_hidden(k4_tarski(k7_finseq_1(E, C), k7_finseq_1(E, D)), k10_bagord_2(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(d15_bagord_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v2_necklace(A) & l1_orders_2(A)) ) )  =>  (! [B] :  ( (v2_bagord_2(B) & m1_bagord_2(B, k17_monoid_1(u1_struct_0(A))))  =>  (B=k11_bagord_2(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r1_orders_2(B, C, D) <=> r2_hidden(k4_tarski(k8_bagord_2(A, C), k8_bagord_2(A, D)), k10_bagord_2(u1_struct_0(k9_bagord_2(A)), u1_orders_2(k9_bagord_2(A))))) ) ) ) ) ) ) ) ) ) ).
fof(t61_bagord_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v2_necklace(A) & l1_orders_2(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_bagord_2(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_bagord_2(A))) =>  ~ ( (r1_bagord_2(k1_bagord_2(A), B, C) & C=k16_pre_poly(u1_struct_0(A))) ) ) ) ) ) ) ) ).
fof(t62_bagord_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v2_necklace(A) & l1_orders_2(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_bagord_2(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_bagord_2(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_bagord_2(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k1_bagord_2(A))) =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, u1_struct_0(A)) &  (v1_funct_1(F) &  (v1_partfun1(F, u1_struct_0(A)) &  (v4_valued_0(F) & v2_pre_poly(F)) ) ) ) )  =>  ( (r1_bagord_2(k1_bagord_2(A), B, C) &  (r3_pre_poly(u1_struct_0(A), F, B) &  (r3_pre_poly(u1_struct_0(A), F, C) &  (D=k12_pre_poly(u1_struct_0(A), B, F) & E=k12_pre_poly(u1_struct_0(A), C, F)) ) ) )  => r1_bagord_2(k1_bagord_2(A), D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_bagord_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k15_pre_poly(A)) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  =>  (! [C] :  ~ ( (r2_hidden(C, A) &  ( ~ (r1_xxreal_0(k1_funct_1(k3_bagord_2(A, B), C), k5_numbers))  &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(D, k4_finseq_1(B)) &  ~ (r1_xxreal_0(k1_funct_1(k7_partfun1(k15_pre_poly(A), B, D), C), k5_numbers)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_bagord_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v2_necklace(A) & l1_orders_2(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_bagord_2(D, u1_struct_0(A), B) =>  ~ ( (v4_bagord_2(D, A, B) &  (k1_funct_1(k7_partfun1(k15_pre_poly(u1_struct_0(A)), D, 1), C)=k5_numbers &  ( ~ (r1_xxreal_0(k1_funct_1(B, C), k5_numbers))  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (r1_xxreal_0(k1_funct_1(k7_partfun1(k15_pre_poly(u1_struct_0(A)), D, 1), E), k5_numbers))  & r1_bagord_2(A, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_bagord_2, axiom,  (? [A] :  ( (v2_bagord_2(A) & m1_bagord_2(A, f1_s1_bagord_2))  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_orders_2(A, B, C) <=> p1_s1_bagord_2(B, C)) ) ) ) ) ) ) ).
fof(asymmetry_r1_bagord_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_necklace(A) & l1_orders_2(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r1_bagord_2(A, B, C) =>  ~ (r1_bagord_2(A, C, B)) ) ) ) ).
fof(redefinition_r1_bagord_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_necklace(A) & l1_orders_2(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r1_bagord_2(A, B, C) <=> r1_orders_2(A, B, C)) ) ) ).
fof(symmetry_r2_bagord_2, axiom,  (! [A, B, C] :  ( (l1_orders_2(A) &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r2_bagord_2(A, B, C) => r2_bagord_2(A, C, B)) ) ) ).
fof(abstractness_v1_bagord_2, axiom,  (! [A] :  (l1_bagord_2(A) =>  (v1_bagord_2(A) => A=g1_bagord_2(u1_struct_0(A), u2_algstr_0(A), u1_orders_2(A))) ) ) ).
fof(dt_l1_bagord_2, axiom,  (! [A] :  (l1_bagord_2(A) =>  (l3_algstr_0(A) & l1_orders_2(A)) ) ) ).
fof(existence_l1_bagord_2, axiom,  (? [A] : l1_bagord_2(A)) ).
fof(dt_g1_bagord_2, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (v1_bagord_2(g1_bagord_2(A, B, C)) & l1_bagord_2(g1_bagord_2(A, B, C))) ) ) ).
fof(free_g1_bagord_2, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [D, E, F] :  (g1_bagord_2(A, B, C)=g1_bagord_2(D, E, F) =>  (A=D &  (B=E & C=F) ) ) ) ) ) ).
fof(abstractness_v2_bagord_2, axiom,  (! [A] :  (l2_bagord_2(A) =>  (v2_bagord_2(A) => A=g2_bagord_2(u1_struct_0(A), u2_algstr_0(A), u3_struct_0(A), u1_orders_2(A))) ) ) ).
fof(dt_l2_bagord_2, axiom,  (! [A] :  (l2_bagord_2(A) =>  (l4_algstr_0(A) & l1_orders_2(A)) ) ) ).
fof(existence_l2_bagord_2, axiom,  (? [A] : l2_bagord_2(A)) ).
fof(dt_g2_bagord_2, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (m1_subset_1(C, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (v2_bagord_2(g2_bagord_2(A, B, C, D)) & l2_bagord_2(g2_bagord_2(A, B, C, D))) ) ) ).
fof(free_g2_bagord_2, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (m1_subset_1(C, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (! [E, F, G, H] :  (g2_bagord_2(A, B, C, D)=g2_bagord_2(E, F, G, H) =>  (A=E &  (B=F &  (C=G & D=H) ) ) ) ) ) ) ).
fof(dt_m1_bagord_2, axiom,  (! [A] :  (l4_algstr_0(A) =>  (! [B] :  (m1_bagord_2(B, A) => l2_bagord_2(B)) ) ) ) ).
fof(existence_m1_bagord_2, axiom,  (! [A] :  (l4_algstr_0(A) =>  (? [B] : m1_bagord_2(B, A)) ) ) ).
fof(dt_f1_s1_bagord_2, axiom,  ( ~ (v2_struct_0(f1_s1_bagord_2))  & l4_algstr_0(f1_s1_bagord_2)) ).
fof(dt_k1_bagord_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (v2_bagord_2(k1_bagord_2(A)) & m1_bagord_2(k1_bagord_2(A), k17_monoid_1(u1_struct_0(A)))) ) ) ).
fof(dt_k2_bagord_2, axiom,  (! [A] : m1_subset_1(k2_bagord_2(A), k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ).
fof(dt_k3_bagord_2, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k15_pre_poly(A)) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  =>  (v1_relat_1(k3_bagord_2(A, B)) &  (v4_relat_1(k3_bagord_2(A, B), A) &  (v1_funct_1(k3_bagord_2(A, B)) &  (v1_partfun1(k3_bagord_2(A, B), A) &  (v4_valued_0(k3_bagord_2(A, B)) & v2_pre_poly(k3_bagord_2(A, B))) ) ) ) ) ) ) ).
fof(dt_m2_bagord_2, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  (m2_bagord_2(C, A, B) =>  (v1_relat_1(C) &  (v5_relat_1(C, k15_pre_poly(A)) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) ) ) ) ) ).
fof(existence_m2_bagord_2, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (? [C] : m2_bagord_2(C, A, B)) ) ) ).
fof(dt_k4_bagord_2, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  => m2_bagord_2(k4_bagord_2(A, B), A, B)) ) ).
fof(redefinition_k4_bagord_2, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  => k4_bagord_2(A, B)=k5_finseq_1(B)) ) ).
fof(dt_k5_bagord_2, axiom,  (! [A, B, C] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (v1_relat_1(k5_bagord_2(A, B, C)) &  (v4_relat_1(k5_bagord_2(A, B, C), A) &  (v1_funct_1(k5_bagord_2(A, B, C)) &  (v1_partfun1(k5_bagord_2(A, B, C), A) &  (v4_valued_0(k5_bagord_2(A, B, C)) & v2_pre_poly(k5_bagord_2(A, B, C))) ) ) ) ) ) ) ).
fof(dt_k6_bagord_2, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) ) )  => m1_subset_1(k6_bagord_2(A, B, C), k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A)))) ) ).
fof(redefinition_k6_bagord_2, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) ) )  => k6_bagord_2(A, B, C)=k4_tarski(B, C)) ) ).
fof(dt_k7_bagord_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v2_necklace(A) & l1_orders_2(A)) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) ) )  =>  (v1_relat_1(k7_bagord_2(A, B)) &  (v5_relat_1(k7_bagord_2(A, B), k15_pre_poly(u1_struct_0(A))) &  (v1_funct_1(k7_bagord_2(A, B)) & v1_finseq_1(k7_bagord_2(A, B))) ) ) ) ) ).
fof(dt_k8_bagord_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v2_necklace(A) & l1_orders_2(A)) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) ) )  => m2_bagord_2(k8_bagord_2(A, B), u1_struct_0(A), B)) ) ).
fof(redefinition_k8_bagord_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v2_necklace(A) & l1_orders_2(A)) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) ) )  => k8_bagord_2(A, B)=k7_bagord_2(A, B)) ) ).
fof(dt_k9_bagord_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v2_necklace(A) & l1_orders_2(A)) ) )  =>  (v2_bagord_2(k9_bagord_2(A)) & m1_bagord_2(k9_bagord_2(A), k17_monoid_1(u1_struct_0(A)))) ) ) ).
fof(dt_k10_bagord_2, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) => m1_subset_1(k10_bagord_2(A, B), k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), k3_finseq_2(A))))) ) ).
fof(dt_k11_bagord_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v2_necklace(A) & l1_orders_2(A)) ) )  =>  (v2_bagord_2(k11_bagord_2(A)) & m1_bagord_2(k11_bagord_2(A), k17_monoid_1(u1_struct_0(A)))) ) ) ).
fof(t54_bagord_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v2_necklace(A) & l1_orders_2(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  (m2_bagord_2(D, u1_struct_0(A), k12_pre_poly(u1_struct_0(A), C, B)) =>  (! [E] :  (m2_bagord_2(E, u1_struct_0(A), C) =>  ( (v4_bagord_2(E, A, C) & E=k7_finseq_1(k4_bagord_2(u1_struct_0(A), B), D))  => B=k5_bagord_2(u1_struct_0(A), C, a_2_0_bagord_2(A, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_bagord_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v2_necklace(A) & l1_orders_2(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  ~ ( ( ~ (B=k16_pre_poly(u1_struct_0(A)))  & a_2_0_bagord_2(A, B)=k1_xboole_0) ) ) ) ) ) ).
fof(d12_bagord_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v2_necklace(A) & l1_orders_2(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k15_pre_poly(u1_struct_0(A))) &  (v1_funct_1(C) & v1_finseq_1(C)) ) )  =>  (C=k7_bagord_2(A, B) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k15_pre_poly(u1_struct_0(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k15_pre_poly(u1_struct_0(A)))))) )  &  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k15_pre_poly(u1_struct_0(A))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k15_pre_poly(u1_struct_0(A)))))) )  &  (k8_nat_1(k15_pre_poly(u1_struct_0(A)), D, k5_numbers)=B &  (k8_nat_1(k15_pre_poly(u1_struct_0(A)), E, k5_numbers)=k16_pre_poly(u1_struct_0(A)) &  ( (! [F] :  (v7_ordinal1(F) =>  (k8_nat_1(k15_pre_poly(u1_struct_0(A)), E, k1_nat_1(F, 1))=k5_bagord_2(u1_struct_0(A), k8_nat_1(k15_pre_poly(u1_struct_0(A)), D, F), a_3_0_bagord_2(A, D, F)) & k8_nat_1(k15_pre_poly(u1_struct_0(A)), D, k1_nat_1(F, 1))=k12_pre_poly(u1_struct_0(A), k8_nat_1(k15_pre_poly(u1_struct_0(A)), D, F), k8_nat_1(k15_pre_poly(u1_struct_0(A)), E, k1_nat_1(F, 1)))) ) )  &  (? [F] :  (v7_ordinal1(F) &  (k8_nat_1(k15_pre_poly(u1_struct_0(A)), D, F)=k16_pre_poly(u1_struct_0(A)) &  (C=k2_partfun1(k4_ordinal1, k15_pre_poly(u1_struct_0(A)), E, k2_finseq_1(F)) &  (! [G] :  (v7_ordinal1(G) =>  ~ ( ( ~ (r1_xxreal_0(F, G))  & k8_nat_1(k15_pre_poly(u1_struct_0(A)), D, G)=k16_pre_poly(u1_struct_0(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_bagord_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v4_orders_2(B) &  (v2_necklace(B) & l1_orders_2(B)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(B)) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) ) )  =>  (r2_hidden(A, a_2_0_bagord_2(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & r3_waybel_4(B, k13_pre_poly(C), D)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_bagord_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v4_orders_2(B) &  (v2_necklace(B) & l1_orders_2(B)) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k15_pre_poly(u1_struct_0(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k15_pre_poly(u1_struct_0(B)))))) )  & v7_ordinal1(D)) )  =>  (r2_hidden(A, a_3_0_bagord_2(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E & r3_waybel_4(B, k13_pre_poly(k8_nat_1(k15_pre_poly(u1_struct_0(B)), C, D)), E)) ) ) ) ) ) ).
fof(fc1_bagorder, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_pre_poly(A)) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v2_pre_poly(k5_relat_1(A, B))) ) ) ).
fof(fc2_bagorder, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) & v4_valued_0(D)) ) ) ) ) ) )  =>  (v1_relat_1(k1_bagorder(A, B, C, D)) &  (v4_relat_1(k1_bagorder(A, B, C, D), k7_nat_d(C, B)) &  (v1_funct_1(k1_bagorder(A, B, C, D)) &  (v1_partfun1(k1_bagorder(A, B, C, D), k7_nat_d(C, B)) & v4_valued_0(k1_bagorder(A, B, C, D))) ) ) ) ) ) ).
fof(fc3_bagorder, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, k4_ordinal1) &  (m1_subset_1(B, k4_ordinal1) &  (m1_subset_1(C, k4_ordinal1) &  (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) & v2_pre_poly(D)) ) ) ) ) ) )  =>  (v1_relat_1(k1_bagorder(A, B, C, D)) &  (v4_relat_1(k1_bagorder(A, B, C, D), k7_nat_d(C, B)) &  (v1_funct_1(k1_bagorder(A, B, C, D)) &  (v1_partfun1(k1_bagorder(A, B, C, D), k7_nat_d(C, B)) & v2_pre_poly(k1_bagorder(A, B, C, D))) ) ) ) ) ) ).
fof(fc4_bagorder, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1)) )  =>  ~ (v1_xboole_0(k2_bagorder(A, B))) ) ) ).
fof(fc5_bagorder, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_partfun1(k17_pre_poly(A), k15_pre_poly(A)) &  (v1_relat_2(k17_pre_poly(A)) &  (v4_relat_2(k17_pre_poly(A)) &  (v8_relat_2(k17_pre_poly(A)) & v2_bagorder(k17_pre_poly(A), A)) ) ) ) ) ) ).
fof(rc1_bagorder, axiom,  (! [A] :  (v3_ordinal1(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k15_pre_poly(A)) &  (v5_relat_1(B, k15_pre_poly(A)) &  (v1_partfun1(B, k15_pre_poly(A)) &  (v1_funct_2(B, k15_pre_poly(A), k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v8_relat_2(B) & v2_bagorder(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc6_bagorder, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_partfun1(k4_bagorder(A), k15_pre_poly(A)) &  (v1_relat_2(k4_bagorder(A)) &  (v4_relat_2(k4_bagorder(A)) &  (v8_relat_2(k4_bagorder(A)) & v2_bagorder(k4_bagorder(A), A)) ) ) ) ) ) ).
fof(fc7_bagorder, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_partfun1(k6_bagorder(A), k15_pre_poly(A)) &  (v1_relat_2(k6_bagorder(A)) &  (v4_relat_2(k6_bagorder(A)) &  (v8_relat_2(k6_bagorder(A)) & v2_bagorder(k6_bagorder(A), A)) ) ) ) ) ) ).
fof(fc8_bagorder, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_partfun1(k7_bagorder(A), k15_pre_poly(A)) &  (v1_relat_2(k7_bagorder(A)) &  (v4_relat_2(k7_bagorder(A)) &  (v8_relat_2(k7_bagorder(A)) & v2_bagorder(k7_bagorder(A), A)) ) ) ) ) ) ).
fof(fc9_bagorder, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  =>  ( ~ (v2_struct_0(k14_bagorder(A)))  &  (v3_orders_2(k14_bagorder(A)) &  (v4_orders_2(k14_bagorder(A)) & v5_orders_2(k14_bagorder(A))) ) ) ) ) ).
fof(fc10_bagorder, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  =>  (v3_orders_2(k14_bagorder(A)) &  (v4_orders_2(k14_bagorder(A)) &  (v5_orders_2(k14_bagorder(A)) & v16_waybel_0(k14_bagorder(A))) ) ) ) ) ).
fof(t1_bagorder, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r2_tarski(C, A) &  (r2_tarski(C, B) & k6_subset_1(A, k1_tarski(C))=k6_subset_1(B, k1_tarski(C))) )  => A=B) ) ) ) ).
fof(t2_bagorder, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (r2_tarski(B, k2_finseq_1(A)) <=>  (m1_subset_1(k6_xcmplx_0(B, 1), k4_ordinal1) &  ~ (r1_xxreal_0(A, k6_xcmplx_0(B, 1))) ) ) ) ) ) ) ).
fof(t4_bagorder, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  (k1_wsierp_1(A)=k5_numbers <=> A=k5_finseq_2(k4_ordinal1, k3_finseq_1(A), k5_numbers)) ) ) ).
fof(d1_bagorder, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k7_nat_d(C, B)) &  (v1_funct_1(E) & v1_partfun1(E, k7_nat_d(C, B))) ) )  =>  (E=k1_bagorder(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r2_tarski(F, k7_nat_d(C, B)) => k1_funct_1(E, F)=k1_funct_1(D, k1_nat_1(B, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_bagorder, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (C=D <=>  (k1_bagorder(A, k5_numbers, k1_nat_1(B, 1), C)=k1_bagorder(A, k5_numbers, k1_nat_1(B, 1), D) & k1_bagorder(A, k1_nat_1(B, 1), A, C)=k1_bagorder(A, k1_nat_1(B, 1), A, D)) ) ) ) ) ) ) ) ) ) ).
fof(t6_bagorder, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) )  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( ( ~ (B=k1_xboole_0)  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r2_tarski(C, B) & r2_waybel_4(B, C, u1_orders_2(A))) ) ) ) ) ) ) ) ) ) ).
fof(t7_bagorder, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) )  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( ( ~ (B=k1_xboole_0)  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r2_tarski(C, B) & r4_waybel_4(B, C, u1_orders_2(A))) ) ) ) ) ) ) ) ) ) ).
fof(t8_bagorder, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v3_wellfnd1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( ~ (r1_xxreal_0(C, D))  =>  ( ~ (k8_nat_1(u1_struct_0(A), B, D)=k8_nat_1(u1_struct_0(A), B, C))  & r2_tarski(k1_domain_1(u1_struct_0(A), u1_struct_0(A), k8_nat_1(u1_struct_0(A), B, C), k8_nat_1(u1_struct_0(A), B, D)), u1_orders_2(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_bagorder, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_bagorder(B, A) <=>  (! [C] :  (v7_ordinal1(C) => r2_tarski(k1_domain_1(u1_struct_0(A), u1_struct_0(A), k8_nat_1(u1_struct_0(A), B, k1_nat_1(C, 1)), k8_nat_1(u1_struct_0(A), B, C)), u1_orders_2(A))) ) ) ) ) ) ) ).
fof(t9_bagorder, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_bagorder(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( ~ (r1_xxreal_0(C, D))  => r2_tarski(k1_domain_1(u1_struct_0(A), u1_struct_0(A), k8_nat_1(u1_struct_0(A), B, C), k8_nat_1(u1_struct_0(A), B, D)), u1_orders_2(A))) ) ) ) ) ) ) ) ) ) ).
fof(t10_bagorder, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ~ ( (v1_wellfnd1(A) &  (v1_bagorder(B, A) &  (! [C] :  (v7_ordinal1(C) =>  (? [D] :  (v7_ordinal1(D) &  (r1_xxreal_0(C, D) &  ~ (k8_nat_1(u1_struct_0(A), B, C)=k8_nat_1(u1_struct_0(A), B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_bagorder, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(A)))  =>  (! [D] :  ( (v1_partfun1(D, A) &  (v1_relat_2(D) &  (v4_relat_2(D) &  (v8_relat_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  =>  ( (C=k1_tarski(B) & r3_orders_1(D, C))  => k7_pre_poly(A, C, D)=k9_finseq_1(B)) ) ) ) ) ) ) ) ).
fof(d4_bagorder, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (C=k3_bagorder(A, B) <=>  (? [D] :  (m2_finseq_1(D, k4_ordinal1) &  (C=k1_wsierp_1(D) & D=k23_pre_poly(A, k7_pre_poly(A, k22_pre_poly(A, B), k2_orders_1(A)), B)) ) ) ) ) ) ) ) ) ) ).
fof(t12_bagorder, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(A)))  =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  (! [E] :  (m2_finseq_1(E, k4_ordinal1) =>  ( (D=k23_pre_poly(A, k7_pre_poly(A, k22_pre_poly(A, B), k2_orders_1(A)), B) & E=k23_pre_poly(A, k7_pre_poly(A, k1_finsub_1(k1_zfmisc_1(A), k22_pre_poly(A, B), C), k2_orders_1(A)), B))  => k1_wsierp_1(D)=k1_wsierp_1(E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_bagorder, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  => k3_bagorder(A, k11_pre_poly(A, B, C))=k2_xcmplx_0(k3_bagorder(A, B), k3_bagorder(A, C))) ) ) ) ) ) ).
fof(t14_bagorder, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (r3_pre_poly(A, C, B) => k3_bagorder(A, k12_pre_poly(A, B, C))=k6_xcmplx_0(k3_bagorder(A, B), k3_bagorder(A, C))) ) ) ) ) ) ) ).
fof(t15_bagorder, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (k3_bagorder(A, B)=k5_numbers <=> B=k16_pre_poly(A)) ) ) ) ) ).
fof(t16_bagorder, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k1_bagorder(C, A, B, k16_pre_poly(C))=k16_pre_poly(k7_nat_d(B, A))) ) ) ) ) ) ).
fof(t17_bagorder, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, C) &  (v1_funct_1(D) &  (v1_partfun1(D, C) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, C) &  (v1_funct_1(E) &  (v1_partfun1(E, C) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) )  => k1_bagorder(C, A, B, k11_pre_poly(C, D, E))=k11_pre_poly(k7_nat_d(B, A), k1_bagorder(C, A, B, D), k1_bagorder(C, A, B, E))) ) ) ) ) ) ) ) ) ) ).
fof(t20_bagorder, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (r2_tarski(B, A) =>  (v1_relat_1(k5_relat_1(C, B)) &  (v4_relat_1(k5_relat_1(C, B), B) &  (v1_funct_1(k5_relat_1(C, B)) &  (v1_partfun1(k5_relat_1(C, B), B) &  (v4_valued_0(k5_relat_1(C, B)) & v2_pre_poly(k5_relat_1(C, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_bagorder, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (r3_pre_poly(A, C, B) => r1_tarski(k22_pre_poly(A, C), k22_pre_poly(A, B))) ) ) ) ) ) ).
fof(d5_bagorder, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) )  =>  (v2_bagorder(B, A) <=>  (r7_relat_2(B, k15_pre_poly(A)) &  ( (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  => r2_hidden(k4_tarski(k16_pre_poly(A), C), B)) )  &  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) )  =>  (r2_hidden(k4_tarski(C, D), B) => r2_hidden(k4_tarski(k11_pre_poly(A, C, E), k11_pre_poly(A, D, E)), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_bagorder, axiom,  (! [A] :  (v3_ordinal1(A) => v2_bagorder(k17_pre_poly(A), A)) ) ).
fof(t23_bagorder, axiom,  (! [A] :  ( (v3_ordinal1(A) &  ~ (v1_finset_1(A)) )  =>  ~ (v2_wellord1(k17_pre_poly(A))) ) ) ).
fof(d6_bagorder, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) )  =>  (B=k4_bagorder(A) <=>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (r2_hidden(k4_tarski(C, D), B) <=>  ~ ( ( ~ (C=D)  &  (! [E] :  (v3_ordinal1(E) =>  ~ ( (r2_tarski(E, A) &  ( ~ (r1_xxreal_0(k1_recdef_1(D, E), k1_recdef_1(C, E)))  &  (! [F] :  (v3_ordinal1(F) =>  ( (r2_tarski(E, F) & r2_tarski(F, A))  => k1_recdef_1(C, F)=k1_recdef_1(D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_bagorder, axiom,  (! [A] :  (v3_ordinal1(A) => v2_bagorder(k4_bagorder(A), A)) ) ).
fof(t25_bagorder, axiom,  (! [A] :  (v3_ordinal1(A) => v2_wellord1(k4_bagorder(A))) ) ).
fof(d7_bagorder, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) )  =>  ( (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) )  =>  (r2_hidden(k4_tarski(C, D), B) => r2_hidden(k4_tarski(k11_pre_poly(A, C, E), k11_pre_poly(A, D, E)), B)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_partfun1(C, k15_pre_poly(A)) &  (v1_relat_2(C) &  (v4_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) )  =>  (C=k5_bagorder(A, B) <=>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) )  =>  (r2_hidden(k4_tarski(D, E), C) <=>  ~ ( (r1_xxreal_0(k3_bagorder(A, E), k3_bagorder(A, D)) &  ~ ( (k3_bagorder(A, D)=k3_bagorder(A, E) & r2_hidden(k4_tarski(D, E), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_bagorder, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) )  =>  ( ( (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) )  =>  (r2_hidden(k4_tarski(C, D), B) => r2_hidden(k4_tarski(k11_pre_poly(A, C, E), k11_pre_poly(A, D, E)), B)) ) ) ) ) ) )  & r7_relat_2(B, k15_pre_poly(A)))  => v2_bagorder(k5_bagorder(A, B), A)) ) ) ) ) ).
fof(d8_bagorder, axiom,  (! [A] :  (v3_ordinal1(A) => k6_bagorder(A)=k5_bagorder(A, k17_pre_poly(A))) ) ).
fof(d9_bagorder, axiom,  (! [A] :  (v3_ordinal1(A) => k7_bagorder(A)=k5_bagorder(A, k4_bagorder(A))) ) ).
fof(t27_bagorder, axiom,  (! [A] :  (v3_ordinal1(A) => v2_bagorder(k6_bagorder(A), A)) ) ).
fof(t28_bagorder, axiom,  (! [A] :  ( (v3_ordinal1(A) &  ~ (v1_finset_1(A)) )  =>  ~ (v2_wellord1(k6_bagorder(A))) ) ) ).
fof(t29_bagorder, axiom,  (! [A] :  (v3_ordinal1(A) => v2_bagorder(k7_bagorder(A), A)) ) ).
fof(t30_bagorder, axiom,  (! [A] :  (v3_ordinal1(A) => v2_wellord1(k7_bagorder(A))) ) ).
fof(d10_bagorder, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_partfun1(C, k15_pre_poly(k1_nat_1(A, 1))) &  (v1_relat_2(C) &  (v4_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(k1_nat_1(A, 1)), k15_pre_poly(k1_nat_1(A, 1)))))) ) ) )  =>  (! [D] :  ( (v1_partfun1(D, k15_pre_poly(k7_nat_d(B, k1_nat_1(A, 1)))) &  (v1_relat_2(D) &  (v4_relat_2(D) &  (v8_relat_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(k7_nat_d(B, k1_nat_1(A, 1))), k15_pre_poly(k7_nat_d(B, k1_nat_1(A, 1))))))) ) ) )  =>  (! [E] :  ( (v1_partfun1(E, k15_pre_poly(B)) &  (v1_relat_2(E) &  (v4_relat_2(E) &  (v8_relat_2(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B), k15_pre_poly(B))))) ) ) )  =>  (E=k8_bagorder(A, B, C, D) <=>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, B) &  (v1_funct_1(F) &  (v1_partfun1(F, B) &  (v4_valued_0(F) & v2_pre_poly(F)) ) ) ) )  =>  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, B) &  (v1_funct_1(G) &  (v1_partfun1(G, B) &  (v4_valued_0(G) & v2_pre_poly(G)) ) ) ) )  =>  (r2_hidden(k4_tarski(F, G), E) <=>  ( ( ~ (k1_bagorder(B, k5_numbers, k1_nat_1(A, 1), F)=k1_bagorder(B, k5_numbers, k1_nat_1(A, 1), G))  & r2_hidden(k4_tarski(k1_bagorder(B, k5_numbers, k1_nat_1(A, 1), F), k1_bagorder(B, k5_numbers, k1_nat_1(A, 1), G)), C))  |  (k1_bagorder(B, k5_numbers, k1_nat_1(A, 1), F)=k1_bagorder(B, k5_numbers, k1_nat_1(A, 1), G) & r2_hidden(k4_tarski(k1_bagorder(B, k1_nat_1(A, 1), B, F), k1_bagorder(B, k1_nat_1(A, 1), B, G)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_bagorder, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_partfun1(C, k15_pre_poly(k1_nat_1(A, 1))) &  (v1_relat_2(C) &  (v4_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(k1_nat_1(A, 1)), k15_pre_poly(k1_nat_1(A, 1)))))) ) ) )  =>  (! [D] :  ( (v1_partfun1(D, k15_pre_poly(k7_nat_d(B, k1_nat_1(A, 1)))) &  (v1_relat_2(D) &  (v4_relat_2(D) &  (v8_relat_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(k7_nat_d(B, k1_nat_1(A, 1))), k15_pre_poly(k7_nat_d(B, k1_nat_1(A, 1))))))) ) ) )  =>  ( (v2_bagorder(C, k1_nat_1(A, 1)) & v2_bagorder(D, k7_nat_d(B, k1_nat_1(A, 1))))  => v2_bagorder(k8_bagorder(A, B, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(d11_bagorder, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_orders_2(B) & l1_orders_2(B))  =>  (B=k9_bagorder(A) <=>  (u1_struct_0(B)=k15_pre_poly(A) &  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (r2_hidden(k4_tarski(C, D), u1_orders_2(B)) <=> r3_pre_poly(A, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_bagorder, axiom,  (! [A] :  (v7_ordinal1(A) => u1_struct_0(k4_yellow_1(A, k7_funcop_1(A, k11_dickson)))=k15_pre_poly(A)) ) ).
fof(t33_bagorder, axiom,  (! [A] :  (v7_ordinal1(A) => k9_bagorder(A)=k4_yellow_1(A, k7_funcop_1(A, k11_dickson))) ) ).
fof(t34_bagorder, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) )  =>  (v2_bagorder(B, A) =>  (r1_relset_1(u1_struct_0(k9_bagorder(A)), u1_struct_0(k9_bagorder(A)), u1_orders_2(k9_bagorder(A)), B) & v2_wellord1(B)) ) ) ) ) ) ).
fof(d12_bagorder, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k5_finsub_1(u1_struct_0(A))) =>  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (C=k10_bagorder(A, B) <=>  (r2_tarski(C, B) & r4_waybel_4(B, C, u1_orders_2(A))) ) ) ) ) ) ) ) ) ).
fof(d13_bagorder, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k5_finsub_1(u1_struct_0(A))) =>  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (C=k11_bagorder(A, B) <=>  (r2_tarski(C, B) & r2_waybel_4(B, C, u1_orders_2(A))) ) ) ) ) ) ) ) ) ).
fof(t35_bagorder, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k5_finsub_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(u1_struct_0(A))) =>  (r2_tarski(k1_domain_1(k5_finsub_1(u1_struct_0(A)), k5_finsub_1(u1_struct_0(A)), B, C), k3_tarski(k10_xtuple_0(k12_bagorder(A)))) <=>  ~ ( ( ~ (B=k1_xboole_0)  &  ( ~ ( ( ~ (B=k1_xboole_0)  &  ( ~ (C=k1_xboole_0)  &  ( ~ (k11_bagorder(A, B)=k11_bagorder(A, C))  & r2_tarski(k1_domain_1(u1_struct_0(A), u1_struct_0(A), k11_bagorder(A, B), k11_bagorder(A, C)), u1_orders_2(A))) ) ) )  &  ~ ( ( ~ (B=k1_xboole_0)  &  ( ~ (C=k1_xboole_0)  &  (k11_bagorder(A, B)=k11_bagorder(A, C) & r2_tarski(k1_domain_1(k1_zfmisc_1(B), k1_zfmisc_1(C), k6_subset_1(B, k6_domain_1(u1_struct_0(A), k11_bagorder(A, B))), k6_subset_1(C, k6_domain_1(u1_struct_0(A), k11_bagorder(A, C)))), k3_tarski(k10_xtuple_0(k12_bagorder(A))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_bagorder, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k5_finsub_1(u1_struct_0(A))) =>  ~ ( ( ~ (B=k1_xboole_0)  & r2_hidden(k4_tarski(B, k1_xboole_0), k3_tarski(k10_xtuple_0(k12_bagorder(A))))) ) ) ) ) ) ).
fof(t37_bagorder, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k5_finsub_1(u1_struct_0(A))) => m1_subset_1(k6_subset_1(B, k6_domain_1(u1_struct_0(A), k11_bagorder(A, B))), k5_finsub_1(u1_struct_0(A)))) ) ) ) ).
fof(t38_bagorder, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  =>  (v1_partfun1(k3_tarski(k10_xtuple_0(k12_bagorder(A))), k5_finsub_1(u1_struct_0(A))) &  (v1_relat_2(k3_tarski(k10_xtuple_0(k12_bagorder(A)))) &  (v4_relat_2(k3_tarski(k10_xtuple_0(k12_bagorder(A)))) &  (v8_relat_2(k3_tarski(k10_xtuple_0(k12_bagorder(A)))) & m1_subset_1(k3_tarski(k10_xtuple_0(k12_bagorder(A))), k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(u1_struct_0(A)), k5_finsub_1(u1_struct_0(A)))))) ) ) ) ) ) ).
fof(d15_bagorder, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  => k13_bagorder(A)=k3_tarski(k10_xtuple_0(k12_bagorder(A)))) ) ).
fof(d16_bagorder, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  => k14_bagorder(A)=g1_orders_2(k5_finsub_1(u1_struct_0(A)), k13_bagorder(A))) ) ).
fof(t39_bagorder, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k14_bagorder(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_bagorder(A))) =>  (r2_tarski(k1_domain_1(u1_struct_0(k14_bagorder(A)), u1_struct_0(k14_bagorder(A)), B, C), u1_orders_2(k14_bagorder(A))) <=>  (? [D] :  (m1_subset_1(D, k5_finsub_1(u1_struct_0(A))) &  (? [E] :  (m1_subset_1(E, k5_finsub_1(u1_struct_0(A))) &  (B=D &  (C=E &  ~ ( ( ~ (D=k1_xboole_0)  &  ( ~ ( ( ~ (D=k1_xboole_0)  &  ( ~ (E=k1_xboole_0)  &  ( ~ (k11_bagorder(A, D)=k11_bagorder(A, E))  & r2_tarski(k1_domain_1(u1_struct_0(A), u1_struct_0(A), k11_bagorder(A, D), k11_bagorder(A, E)), u1_orders_2(A))) ) ) )  &  ~ ( ( ~ (D=k1_xboole_0)  &  ( ~ (E=k1_xboole_0)  &  (k11_bagorder(A, D)=k11_bagorder(A, E) & r2_tarski(k1_domain_1(k1_zfmisc_1(D), k1_zfmisc_1(E), k6_subset_1(D, k6_domain_1(u1_struct_0(A), k11_bagorder(A, D))), k6_subset_1(E, k6_domain_1(u1_struct_0(A), k11_bagorder(A, E)))), k13_bagorder(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_bagorder, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v16_waybel_0(A) & l1_orders_2(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  ( (v1_wellfnd1(A) & r1_tarski(B, u1_struct_0(A)))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (C=k15_bagorder(A, B) <=>  (r2_tarski(C, B) & r4_waybel_4(B, C, u1_orders_2(A))) ) ) ) ) ) ) ) ) ).
fof(t40_bagorder, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (v3_wellfnd1(B, A) => v3_wellfnd1(k7_nat_1(u1_struct_0(A), B, C), A)) ) ) ) ) ) ) ).
fof(t41_bagorder, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  =>  (v1_wellfnd1(A) => v1_wellfnd1(k14_bagorder(A))) ) ) ).
fof(dt_k1_bagorder, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) ) ) ) )  =>  (v1_relat_1(k1_bagorder(A, B, C, D)) &  (v4_relat_1(k1_bagorder(A, B, C, D), k7_nat_d(C, B)) &  (v1_funct_1(k1_bagorder(A, B, C, D)) & v1_partfun1(k1_bagorder(A, B, C, D), k7_nat_d(C, B))) ) ) ) ) ).
fof(dt_k3_bagorder, axiom,  (! [A, B] :  ( (v3_ordinal1(A) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) ) )  => v7_ordinal1(k3_bagorder(A, B))) ) ).
fof(dt_k4_bagorder, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_partfun1(k4_bagorder(A), k15_pre_poly(A)) &  (v1_relat_2(k4_bagorder(A)) &  (v4_relat_2(k4_bagorder(A)) &  (v8_relat_2(k4_bagorder(A)) & m1_subset_1(k4_bagorder(A), k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) ) ).
fof(dt_k5_bagorder, axiom,  (! [A, B] :  ( (v3_ordinal1(A) &  (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (v1_partfun1(k5_bagorder(A, B), k15_pre_poly(A)) &  (v1_relat_2(k5_bagorder(A, B)) &  (v4_relat_2(k5_bagorder(A, B)) &  (v8_relat_2(k5_bagorder(A, B)) & m1_subset_1(k5_bagorder(A, B), k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) ) ).
fof(dt_k6_bagorder, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_partfun1(k6_bagorder(A), k15_pre_poly(A)) &  (v1_relat_2(k6_bagorder(A)) &  (v4_relat_2(k6_bagorder(A)) &  (v8_relat_2(k6_bagorder(A)) & m1_subset_1(k6_bagorder(A), k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) ) ).
fof(dt_k7_bagorder, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_partfun1(k7_bagorder(A), k15_pre_poly(A)) &  (v1_relat_2(k7_bagorder(A)) &  (v4_relat_2(k7_bagorder(A)) &  (v8_relat_2(k7_bagorder(A)) & m1_subset_1(k7_bagorder(A), k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) ) ).
fof(dt_k8_bagorder, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( (v1_partfun1(C, k15_pre_poly(k1_nat_1(A, 1))) &  (v1_relat_2(C) &  (v4_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(k1_nat_1(A, 1)), k15_pre_poly(k1_nat_1(A, 1)))))) ) ) )  &  (v1_partfun1(D, k15_pre_poly(k7_nat_d(B, k1_nat_1(A, 1)))) &  (v1_relat_2(D) &  (v4_relat_2(D) &  (v8_relat_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(k7_nat_d(B, k1_nat_1(A, 1))), k15_pre_poly(k7_nat_d(B, k1_nat_1(A, 1))))))) ) ) ) ) ) )  =>  (v1_partfun1(k8_bagorder(A, B, C, D), k15_pre_poly(B)) &  (v1_relat_2(k8_bagorder(A, B, C, D)) &  (v4_relat_2(k8_bagorder(A, B, C, D)) &  (v8_relat_2(k8_bagorder(A, B, C, D)) & m1_subset_1(k8_bagorder(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B), k15_pre_poly(B))))) ) ) ) ) ) ).
fof(dt_k9_bagorder, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_orders_2(k9_bagorder(A)) & l1_orders_2(k9_bagorder(A))) ) ) ).
fof(dt_k10_bagorder, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  & m1_subset_1(B, k5_finsub_1(u1_struct_0(A))))  => m1_subset_1(k10_bagorder(A, B), u1_struct_0(A))) ) ).
fof(dt_k11_bagorder, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  & m1_subset_1(B, k5_finsub_1(u1_struct_0(A))))  => m1_subset_1(k11_bagorder(A, B), u1_struct_0(A))) ) ).
fof(dt_k12_bagorder, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  =>  (v1_funct_1(k12_bagorder(A)) &  (v1_funct_2(k12_bagorder(A), k4_ordinal1, k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(u1_struct_0(A)), k5_finsub_1(u1_struct_0(A))))) & m1_subset_1(k12_bagorder(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(u1_struct_0(A)), k5_finsub_1(u1_struct_0(A)))))))) ) ) ) ).
fof(dt_k13_bagorder, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  =>  (v1_partfun1(k13_bagorder(A), k5_finsub_1(u1_struct_0(A))) &  (v1_relat_2(k13_bagorder(A)) &  (v4_relat_2(k13_bagorder(A)) &  (v8_relat_2(k13_bagorder(A)) & m1_subset_1(k13_bagorder(A), k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(u1_struct_0(A)), k5_finsub_1(u1_struct_0(A)))))) ) ) ) ) ) ).
fof(dt_k14_bagorder, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  =>  (v3_orders_2(k14_bagorder(A)) &  (v4_orders_2(k14_bagorder(A)) &  (v5_orders_2(k14_bagorder(A)) & l1_orders_2(k14_bagorder(A))) ) ) ) ) ).
fof(dt_k15_bagorder, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v16_waybel_0(A) & l1_orders_2(A)) )  &  ~ (v1_xboole_0(B)) )  => m1_subset_1(k15_bagorder(A, B), u1_struct_0(A))) ) ).
fof(d2_bagorder, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  => k2_bagorder(A, B)=a_2_0_bagorder(A, B)) ) ) ) ).
fof(d14_bagorder, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(u1_struct_0(A)), k5_finsub_1(u1_struct_0(A))))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(u1_struct_0(A)), k5_finsub_1(u1_struct_0(A)))))))) )  =>  (B=k12_bagorder(A) <=>  (k1_relset_1(k4_ordinal1, B)=k4_ordinal1 &  (k8_nat_1(k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(u1_struct_0(A)), k5_finsub_1(u1_struct_0(A)))), B, k5_numbers)=a_1_0_bagorder(A) &  (! [C] :  (v7_ordinal1(C) => k8_nat_1(k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(u1_struct_0(A)), k5_finsub_1(u1_struct_0(A)))), B, k1_nat_1(C, 1))=a_3_0_bagorder(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_bagorder, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v8_ordinal1(C))  & m1_subset_1(C, k4_ordinal1)) )  =>  (r2_hidden(A, a_2_0_bagorder(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) &  (A=D &  (v1_finset_1(D) &  ( ~ (v1_xboole_0(D))  & r1_ordinal1(k1_card_1(D), C)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_bagorder, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v16_waybel_0(B) & l1_orders_2(B)) ) ) ) )  =>  (r2_hidden(A, a_1_0_bagorder(B)) <=>  (? [C, D] :  ( (m1_subset_1(C, k5_finsub_1(u1_struct_0(B))) & m1_subset_1(D, k5_finsub_1(u1_struct_0(B))))  &  (A=k1_domain_1(k5_finsub_1(u1_struct_0(B)), k5_finsub_1(u1_struct_0(B)), C, D) &  (C=k1_xboole_0 |  ( ~ (C=k1_xboole_0)  &  ( ~ (D=k1_xboole_0)  &  ( ~ (k11_bagorder(B, C)=k11_bagorder(B, D))  & r2_tarski(k1_domain_1(u1_struct_0(B), u1_struct_0(B), k11_bagorder(B, C), k11_bagorder(B, D)), u1_orders_2(B))) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_bagorder, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v16_waybel_0(B) & l1_orders_2(B)) ) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(u1_struct_0(B)), k5_finsub_1(u1_struct_0(B))))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(u1_struct_0(B)), k5_finsub_1(u1_struct_0(B)))))))) )  & v7_ordinal1(D)) )  =>  (r2_hidden(A, a_3_0_bagorder(B, C, D)) <=>  (? [E, F] :  ( (m1_subset_1(E, k5_finsub_1(u1_struct_0(B))) & m1_subset_1(F, k5_finsub_1(u1_struct_0(B))))  &  (A=k1_domain_1(k5_finsub_1(u1_struct_0(B)), k5_finsub_1(u1_struct_0(B)), E, F) &  ( ~ (E=k1_xboole_0)  &  ( ~ (F=k1_xboole_0)  &  (k11_bagorder(B, E)=k11_bagorder(B, F) & r2_tarski(k1_domain_1(k1_zfmisc_1(E), k1_zfmisc_1(F), k6_subset_1(E, k6_domain_1(u1_struct_0(B), k11_bagorder(B, E))), k6_subset_1(F, k6_domain_1(u1_struct_0(B), k11_bagorder(B, F)))), k8_nat_1(k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(u1_struct_0(B)), k5_finsub_1(u1_struct_0(B)))), C, D))) ) ) ) ) ) ) ) ) ).
fof(fc1_ballot_1, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(B) & v7_ordinal1(D))  => v1_finset_1(k1_ballot_1(A, B, C, D))) ) ).
fof(fc2_ballot_1, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) &  ( ~ (v1_xboole_0(C))  & v7_ordinal1(C)) )  => v1_xboole_0(k1_ballot_1(A, B, A, C))) ) ).
fof(t1_ballot_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  =>  (! [C] :  (v7_ordinal1(C) => k10_afinsq_1(A, k5_relat_1(B, C))=k17_finseq_1(A, C, k10_afinsq_1(A, B))) ) ) ) ) ) ).
fof(t2_ballot_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  => k2_relset_1(A, B)=k2_relset_1(A, k10_afinsq_1(A, B))) ) ) ) ).
fof(t3_ballot_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, B) &  (v5_ordinal1(D) &  (v1_funct_1(D) & v1_finset_1(D)) ) ) )  =>  (C=D => k10_afinsq_1(A, C)=k10_afinsq_1(B, D)) ) ) ) ) ) ) ) ) ).
fof(t4_ballot_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) )  =>  (k10_afinsq_1(A, B)=k10_afinsq_1(A, C) => B=C) ) ) ) ) ) ) ).
fof(t5_ballot_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) => k10_afinsq_1(A, k9_afinsq_1(A, B))=B) ) ) ) ).
fof(t6_ballot_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (! [C] :  (r1_tarski(k10_xtuple_0(A), k2_tarski(B, C)) =>  (B=C | k2_xcmplx_0(k4_card_1(k8_relat_1(A, k1_tarski(B))), k4_card_1(k8_relat_1(A, k1_tarski(C))))=k3_finseq_1(A)) ) ) ) ) ) ).
fof(t7_ballot_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (v2_funct_1(A) =>  (! [C] :  (r2_hidden(C, k9_xtuple_0(A)) => k10_relat_1(k3_relat_1(B, A), k1_funct_1(A, C))=k10_relat_1(B, C)) ) ) ) ) ) ) ).
fof(t8_ballot_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_valued_0(B) & v1_finseq_1(B)) ) )  =>  (r1_tarski(k1_rvsum_1(B), k2_tarski(k5_numbers, A)) => k16_rvsum_1(B)=k3_xcmplx_0(A, k4_card_1(k8_relat_1(B, k1_tarski(A))))) ) ) ) ) ).
fof(d1_ballot_1, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k4_finseq_2(k2_xcmplx_0(B, D), k2_tarski(A, C)))) =>  (E=k1_ballot_1(A, B, C, D) <=>  (! [F] :  (m2_finseq_2(F, k2_tarski(A, C), k4_finseq_2(k2_xcmplx_0(B, D), k2_tarski(A, C))) =>  (r2_tarski(F, E) <=> k4_card_1(k8_relset_1(k4_ordinal1, k2_tarski(A, C), F, k1_tarski(A)))=B) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_ballot_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] : k1_ballot_1(B, A, B, k5_numbers)=k1_tarski(k2_finseq_2(A, B))) ) ) ).
fof(t10_ballot_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (r1_xxreal_0(B, k5_numbers))  => v1_xboole_0(k1_ballot_1(C, A, C, B))) ) ) ) ) ) ).
fof(t11_ballot_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (! [D] : k1_ballot_1(C, A, D, B)=k1_card_fin(k2_finseq_1(k2_xcmplx_0(A, B)), A, C, D)) ) ) ) ) ) ).
fof(t12_ballot_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (! [D] :  (! [E] :  (m2_finseq_2(E, k2_tarski(C, D), k4_finseq_2(k2_xcmplx_0(A, B), k2_tarski(C, D))) =>  ( ~ (C=D)  =>  (r2_tarski(E, k1_ballot_1(C, A, D, B)) <=> k4_card_1(k8_relset_1(k4_ordinal1, k2_tarski(C, D), E, k1_tarski(D)))=B) ) ) ) ) ) ) ) ) ) ).
fof(t13_ballot_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (! [D] :  ( ~ (C=D)  => k4_card_1(k1_ballot_1(C, A, D, B))=k4_newton(A, k2_xcmplx_0(A, B))) ) ) ) ) ) ) ).
fof(d2_ballot_1, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  (v1_ballot_1(E, A, B, C, D) <=>  (r2_tarski(E, k1_ballot_1(A, B, C, D)) &  (! [F] :  (v7_ordinal1(F) =>  ~ ( ( ~ (r1_xxreal_0(F, k5_numbers))  & r1_xxreal_0(k4_card_1(k8_relat_1(k16_finseq_1(F, E), k1_tarski(A))), k4_card_1(k8_relat_1(k16_finseq_1(F, E), k1_tarski(C))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_ballot_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (! [D] :  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  ~ ( (v1_ballot_1(E, C, A, D, B) & C=D) ) ) ) ) ) ) ) ) ) ).
fof(t15_ballot_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (! [D] :  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  ~ ( (v1_ballot_1(E, C, A, D, B) & r1_xxreal_0(A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t16_ballot_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  ~ ( ( ~ (B=C)  &  ( ~ (r1_xxreal_0(A, k5_numbers))  &  ~ (v1_ballot_1(k2_finseq_2(A, B), B, A, C, k5_numbers)) ) ) ) ) ) ) ) ).
fof(t17_ballot_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (! [E] :  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) )  =>  (v1_ballot_1(F, D, A, E, B) =>  (r1_xxreal_0(k6_xcmplx_0(A, B), C) | v1_ballot_1(k7_finseq_1(F, k2_finseq_2(C, E)), D, A, E, k2_xcmplx_0(B, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_ballot_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (! [F] :  (! [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) & v1_finseq_1(G)) )  =>  (! [H] :  ( (v1_relat_1(H) &  (v1_funct_1(H) & v1_finseq_1(H)) )  =>  ( (v1_ballot_1(G, E, A, F, B) & v1_ballot_1(H, E, C, F, D))  => v1_ballot_1(k7_finseq_1(G, H), E, k2_xcmplx_0(A, C), F, k2_xcmplx_0(B, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_ballot_1, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_ballot_1(A, B, C, D))) =>  (E=k2_ballot_1(A, B, C, D) <=>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) )  =>  (r2_tarski(F, E) <=> v1_ballot_1(F, A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_ballot_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (! [D] :  ( (C=D | r1_xxreal_0(A, B))  => v1_xboole_0(k2_ballot_1(C, A, D, B))) ) ) ) ) ) ) ).
fof(t20_ballot_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (! [D] :  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (C=D)  &  ~ (r2_tarski(k7_finseq_1(k2_finseq_2(A, C), k2_finseq_2(B, D)), k2_ballot_1(C, A, D, B))) ) ) ) ) ) ) ) ) ) ).
fof(t21_ballot_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (! [D] :  ( ~ (C=D)  => k4_card_1(k2_ballot_1(C, A, D, B))=k4_card_1(k2_ballot_1(k5_numbers, A, 1, B))) ) ) ) ) ) ) ).
fof(t22_ballot_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (v1_ballot_1(C, k5_numbers, A, 1, B) <=>  ( (v3_card_1(C, k2_xcmplx_0(A, B)) & m2_finseq_1(C, k7_domain_1(k4_ordinal1, k5_numbers, 1)))  &  ( ~ (r1_xxreal_0(A, k5_numbers))  &  (k16_rvsum_1(C)=B &  (! [D] :  (v7_ordinal1(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  & r1_xxreal_0(D, k3_xcmplx_0(2, k16_rvsum_1(k17_finseq_1(k4_ordinal1, D, C))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_ballot_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (! [D] :  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  (v1_ballot_1(E, C, A, D, B) => k1_funct_1(E, 1)=C) ) ) ) ) ) ) ) ) ).
fof(t24_ballot_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k4_ordinal1) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) )  =>  (r2_tarski(C, k2_catalan2(k2_xcmplx_0(A, B), B)) <=> r2_tarski(k8_finseq_1(k4_ordinal1, k12_finseq_1(k4_ordinal1, k5_numbers), k10_afinsq_1(k4_ordinal1, C)), k2_ballot_1(k5_numbers, k2_xcmplx_0(A, 1), 1, B))) ) ) ) ) ) ) ).
fof(t25_ballot_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k1_card_1(k2_catalan2(k2_xcmplx_0(A, B), B))=k4_card_1(k2_ballot_1(k5_numbers, k2_xcmplx_0(A, 1), 1, B))) ) ) ) ).
fof(t26_ballot_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k1_card_1(k2_catalan2(k2_xcmplx_0(A, B), B))=k4_card_1(k2_ballot_1(k5_numbers, k2_xcmplx_0(A, 1), 1, B))) ) ) ) ).
fof(t27_ballot_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (! [D] :  ~ ( ( ~ (C=D)  &  ( ~ (r1_xxreal_0(A, B))  &  ~ (k4_card_1(k2_ballot_1(C, A, D, B))=k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(A, B), k2_xcmplx_0(A, B)), k4_newton(B, k2_xcmplx_0(A, B)))) ) ) ) ) ) ) ) ) ) ).
fof(t28_ballot_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (! [D] :  (r1_xxreal_0(B, A) =>  (C=D | k1_rpr_1(k1_ballot_1(C, A, D, B), k2_ballot_1(C, A, D, B))=k7_xcmplx_0(k6_xcmplx_0(A, B), k2_xcmplx_0(A, B))) ) ) ) ) ) ) ) ).
fof(dt_k1_ballot_1, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(B) & v7_ordinal1(D))  => m1_subset_1(k1_ballot_1(A, B, C, D), k1_zfmisc_1(k4_finseq_2(k2_xcmplx_0(B, D), k2_tarski(A, C))))) ) ).
fof(dt_k2_ballot_1, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(B) & v7_ordinal1(D))  => m1_subset_1(k2_ballot_1(A, B, C, D), k1_zfmisc_1(k1_ballot_1(A, B, C, D)))) ) ).
fof(fc1_basel_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) & v1_finseq_1(A)) ) )  & v7_ordinal1(B))  =>  (v1_relat_1(k16_finseq_1(B, A)) &  (v5_relat_1(k16_finseq_1(B, A), k1_numbers) &  (v1_funct_1(k16_finseq_1(B, A)) & v1_finseq_1(k16_finseq_1(B, A))) ) ) ) ) ).
fof(fc2_basel_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_valued_0(A) & v1_finseq_1(A)) ) )  =>  (v1_relat_1(k39_valued_1(A)) &  (v1_funct_1(k39_valued_1(A)) & v3_card_1(k39_valued_1(A), k3_finseq_1(A))) ) ) ) ).
fof(fc3_basel_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_valued_0(A) & v1_finseq_1(A)) ) )  =>  (v1_relat_1(k35_valued_1(A)) &  (v1_funct_1(k35_valued_1(A)) &  (v1_valued_0(k35_valued_1(A)) & v3_card_1(k35_valued_1(A), k3_finseq_1(A))) ) ) ) ) ).
fof(fc4_basel_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_valued_0(A) & v1_finseq_1(A)) ) )  & v1_xcmplx_0(B))  =>  (v1_relat_1(k7_valued_1(A, B)) &  (v1_funct_1(k7_valued_1(A, B)) & v3_card_1(k7_valued_1(A, B), k3_finseq_1(A))) ) ) ) ).
fof(fc5_basel_1, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  =>  (v1_funct_1(k2_basel_1(A, B, k5_numbers, k5_numbers)) &  (v3_funct_1(k2_basel_1(A, B, k5_numbers, k5_numbers)) & v1_funct_2(k2_basel_1(A, B, k5_numbers, k5_numbers), k4_ordinal1, k1_numbers)) ) ) ) ).
fof(fc6_basel_1, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  =>  (v1_funct_1(k2_basel_1(k5_numbers, A, k5_numbers, B)) &  (v3_funct_1(k2_basel_1(k5_numbers, A, k5_numbers, B)) & v1_funct_2(k2_basel_1(k5_numbers, A, k5_numbers, B), k4_ordinal1, k1_numbers)) ) ) ) ).
fof(fc7_basel_1, axiom,  (! [A, B, C] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) & v1_xreal_0(C)) )  =>  (v1_funct_1(k2_basel_1(k5_numbers, A, B, C)) &  (v1_funct_2(k2_basel_1(k5_numbers, A, B, C), k4_ordinal1, k1_numbers) & v2_comseq_2(k2_basel_1(k5_numbers, A, B, C))) ) ) ) ).
fof(fc8_basel_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v8_ordinal1(A))  & v1_xreal_0(A))  &  (v1_xreal_0(B) &  (v1_xreal_0(C) & v1_xreal_0(D)) ) )  =>  (v1_funct_1(k2_basel_1(B, C, A, D)) &  (v1_funct_2(k2_basel_1(B, C, A, D), k4_ordinal1, k1_numbers) & v2_comseq_2(k2_basel_1(B, C, A, D))) ) ) ) ).
fof(fc9_basel_1, axiom,  (! [A, B, C] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( (v2_xxreal_0(B) & v1_xreal_0(B))  & v1_xreal_0(C)) )  =>  (v1_funct_1(k2_basel_1(A, C, k5_numbers, B)) &  (v1_funct_2(k2_basel_1(A, C, k5_numbers, B), k4_ordinal1, k1_numbers) &  ~ (v1_seq_2(k2_basel_1(A, C, k5_numbers, B))) ) ) ) ) ).
fof(fc10_basel_1, axiom,  (! [A, B, C] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( (v3_xxreal_0(B) & v1_xreal_0(B))  & v1_xreal_0(C)) )  =>  (v1_funct_1(k2_basel_1(A, C, k5_numbers, B)) &  (v1_funct_2(k2_basel_1(A, C, k5_numbers, B), k4_ordinal1, k1_numbers) &  ~ (v1_seq_2(k2_basel_1(A, C, k5_numbers, B))) ) ) ) ) ).
fof(fc11_basel_1, axiom,  (! [A, B, C] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  (v1_xreal_0(B) &  (v3_xxreal_0(C) & v1_xreal_0(C)) ) )  =>  (v1_funct_1(k2_basel_1(A, B, k5_numbers, C)) &  (v1_funct_2(k2_basel_1(A, B, k5_numbers, C), k4_ordinal1, k1_numbers) &  ~ (v2_seq_2(k2_basel_1(A, B, k5_numbers, C))) ) ) ) ) ).
fof(fc12_basel_1, axiom,  (! [A, B, C] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  (v1_xreal_0(B) &  (v2_xxreal_0(C) & v1_xreal_0(C)) ) )  =>  (v1_funct_1(k2_basel_1(A, B, k5_numbers, C)) &  (v1_funct_2(k2_basel_1(A, B, k5_numbers, C), k4_ordinal1, k1_numbers) &  ~ (v2_seq_2(k2_basel_1(A, B, k5_numbers, C))) ) ) ) ) ).
fof(fc13_basel_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v8_ordinal1(A))  & v1_xreal_0(A))  &  ( ( ~ (v8_ordinal1(B))  & v1_xreal_0(B))  & v1_xreal_0(C)) )  =>  (v1_funct_1(k2_basel_1(A, C, k5_numbers, B)) &  (v1_funct_2(k2_basel_1(A, C, k5_numbers, B), k4_ordinal1, k1_numbers) &  ~ (v1_comseq_2(k2_basel_1(A, C, k5_numbers, B))) ) ) ) ) ).
fof(fc14_basel_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v8_ordinal1(A))  & v1_xreal_0(A))  &  ( ( ~ (v8_ordinal1(B))  & v1_xreal_0(B))  & v1_xreal_0(C)) )  =>  (v1_funct_1(k2_basel_1(A, C, k5_numbers, B)) &  (v1_funct_2(k2_basel_1(A, C, k5_numbers, B), k4_ordinal1, k1_numbers) &  ~ (v2_comseq_2(k2_basel_1(A, C, k5_numbers, B))) ) ) ) ) ).
fof(fc15_basel_1, axiom, v3_rcomp_1(k9_xtuple_0(k26_sin_cos))).
fof(fc16_basel_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  =>  (v1_relat_1(k3_basel_1(A)) &  (v5_relat_1(k3_basel_1(A), k1_numbers) & v1_funct_1(k3_basel_1(A))) ) ) ) ).
fof(fc17_basel_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  =>  (v1_relat_1(k4_basel_1(A)) &  (v5_relat_1(k4_basel_1(A), k1_numbers) & v1_funct_1(k4_basel_1(A))) ) ) ) ).
fof(fc18_basel_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) & v1_finseq_1(A)) ) )  =>  (v1_relat_1(k3_basel_1(A)) &  (v1_funct_1(k3_basel_1(A)) & v1_finseq_1(k3_basel_1(A))) ) ) ) ).
fof(fc19_basel_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) & v1_finseq_1(A)) ) )  =>  (v1_relat_1(k4_basel_1(A)) &  (v1_funct_1(k4_basel_1(A)) & v1_finseq_1(k4_basel_1(A))) ) ) ) ).
fof(fc20_basel_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) & v1_finseq_1(A)) ) )  =>  (v1_relat_1(k3_basel_1(A)) &  (v1_funct_1(k3_basel_1(A)) & v3_card_1(k3_basel_1(A), k3_finseq_1(A))) ) ) ) ).
fof(fc21_basel_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) & v1_finseq_1(A)) ) )  =>  (v1_relat_1(k4_basel_1(A)) &  (v1_funct_1(k4_basel_1(A)) & v3_card_1(k4_basel_1(A), k3_finseq_1(A))) ) ) ) ).
fof(fc22_basel_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_relat_1(k5_basel_1(A)) &  (v5_relat_1(k5_basel_1(A), k1_numbers) &  (v1_funct_1(k5_basel_1(A)) & v1_finseq_1(k5_basel_1(A))) ) ) ) ) ).
fof(fc23_basel_1, axiom,  (v1_relat_1(k5_basel_1(k5_numbers)) &  (v1_xboole_0(k5_basel_1(k5_numbers)) &  (v1_funct_1(k5_basel_1(k5_numbers)) & v1_finseq_1(k5_basel_1(k5_numbers))) ) ) ).
fof(fc24_basel_1, axiom,  (v1_funct_1(k6_basel_1) &  (v1_funct_2(k6_basel_1, k4_ordinal1, k1_numbers) & v2_comseq_2(k6_basel_1)) ) ).
fof(fc25_basel_1, axiom,  (v1_funct_1(k7_basel_1) &  (v1_funct_2(k7_basel_1, k4_ordinal1, k1_numbers) & v2_comseq_2(k7_basel_1)) ) ).
fof(fc26_basel_1, axiom,  (v1_funct_1(k8_basel_1) &  (v1_funct_2(k8_basel_1, k4_ordinal1, k1_numbers) & v2_comseq_2(k8_basel_1)) ) ).
fof(t1_basel_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k2_xcmplx_0(k3_xcmplx_0(A, C), B), k5_numbers)) ) ) ) ) ) ) ) ).
fof(t2_basel_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k7_valued_1(k9_finseq_1(B), A)=k9_finseq_1(k2_xcmplx_0(A, B))) ) ) ) ).
fof(t3_basel_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_valued_0(A) & v1_finseq_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_valued_0(B) & v1_finseq_1(B)) ) )  =>  (! [C] :  (v1_xcmplx_0(C) => k7_valued_1(k7_finseq_1(A, B), C)=k7_finseq_1(k7_valued_1(A, C), k7_valued_1(B, C))) ) ) ) ) ) ).
fof(t4_basel_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_valued_0(A) & v1_finseq_1(A)) ) )  =>  (! [B] :  (v1_xcmplx_0(B) => k16_rvsum_1(k7_valued_1(A, B))=k2_xcmplx_0(k3_xcmplx_0(B, k3_finseq_1(A)), k16_rvsum_1(A))) ) ) ) ).
fof(d1_basel_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k2_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (E=k1_basel_1(A, B, C, D) <=>  (! [F] :  (v7_ordinal1(F) => k1_funct_1(E, F)=k7_xcmplx_0(k1_polyeq_1(A, B, F), k1_polyeq_1(C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_basel_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => k2_basel_1(A, B, C, D)=k7_comseq_3(k1_basel_1(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t5_basel_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) => k1_funct_1(k2_basel_1(B, C, D, E), A)=k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B, A), C), k2_xcmplx_0(k3_xcmplx_0(D, A), E))) ) ) ) ) ) ) ) ) ) ).
fof(t6_basel_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) => k1_funct_1(k2_basel_1(k5_numbers, B, k5_numbers, C), A)=k7_xcmplx_0(B, C)) ) ) ) ) ) ).
fof(t7_basel_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (r2_funct_2(k4_ordinal1, k1_numbers, k2_basel_1(k5_numbers, A, B, C), k26_valued_1(k4_ordinal1, k1_numbers, k2_basel_1(k5_numbers, 1, B, C), A)) & r2_funct_2(k4_ordinal1, k1_numbers, k2_basel_1(k5_numbers, A, B, C), k26_valued_1(k4_ordinal1, k1_numbers, k2_basel_1(k5_numbers, 1, k4_xcmplx_0(B), k4_xcmplx_0(C)), k4_xcmplx_0(A)))) ) ) ) ) ) ) ).
fof(t8_basel_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (r2_funct_2(k4_ordinal1, k1_numbers, k2_basel_1(A, k5_numbers, B, C), k26_valued_1(k4_ordinal1, k1_numbers, k2_basel_1(1, k5_numbers, B, C), A)) & r2_funct_2(k4_ordinal1, k1_numbers, k2_basel_1(A, k5_numbers, B, C), k26_valued_1(k4_ordinal1, k1_numbers, k2_basel_1(1, k5_numbers, k4_xcmplx_0(B), k4_xcmplx_0(C)), k4_xcmplx_0(A)))) ) ) ) ) ) ) ).
fof(t9_basel_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_seq_2(k2_basel_1(k5_numbers, A, k5_numbers, B))=k7_xcmplx_0(A, B)) ) ) ) ).
fof(t10_basel_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & v1_xreal_0(C))  => k1_seq_2(k2_basel_1(k5_numbers, A, C, B))=k5_numbers) ) ) ) ) ) ).
fof(t11_basel_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( ( ~ (v8_ordinal1(D))  & v1_xreal_0(D))  => k1_seq_2(k2_basel_1(A, B, D, C))=k7_xcmplx_0(A, D)) ) ) ) ) ) ) ) ).
fof(t12_basel_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & v1_xreal_0(C))  => k1_seq_2(k2_basel_1(C, A, C, B))=1) ) ) ) ) ) ).
fof(t13_basel_1, axiom,  (! [A] :  (v1_int_1(A) => k17_sin_cos(k3_xcmplx_0(k28_sin_cos, A))=k5_numbers) ) ).
fof(t14_basel_1, axiom,  (! [A] :  (v1_int_1(A) => k19_sin_cos(k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 2), k3_xcmplx_0(k28_sin_cos, A)))=k5_numbers) ) ).
fof(t15_basel_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (k1_sin_cos4(A)=k5_xcmplx_0(k2_sin_cos4(A)) & k2_sin_cos4(A)=k5_xcmplx_0(k1_sin_cos4(A))) ) ) ).
fof(t17_basel_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r1_xxreal_0(k5_numbers, A) => r1_xxreal_0(k1_funct_1(k16_sin_cos, A), A)) ) ) ).
fof(t18_basel_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r1_xxreal_0(k5_numbers, A) =>  (r1_xxreal_0(k7_xcmplx_0(k28_sin_cos, 2), A) | r1_xxreal_0(A, k1_funct_1(k26_sin_cos, A))) ) ) ) ).
fof(d3_basel_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (B=k3_basel_1(A) <=>  (k9_xtuple_0(B)=k9_xtuple_0(A) &  (! [C] :  (r2_hidden(C, k9_xtuple_0(A)) => k1_funct_1(B, C)=k2_sin_cos4(k1_funct_1(A, C))) ) ) ) ) ) ) ) ).
fof(d4_basel_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (B=k4_basel_1(A) <=>  (k9_xtuple_0(B)=k9_xtuple_0(A) &  (! [C] :  (r2_hidden(C, k9_xtuple_0(A)) => k1_funct_1(B, C)=k3_sin_cos4(k1_funct_1(A, C))) ) ) ) ) ) ) ) ).
fof(t19_basel_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) & v1_finseq_1(A)) ) )  => k3_finseq_1(k3_basel_1(A))=k3_finseq_1(A)) ) ).
fof(t20_basel_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) & v1_finseq_1(A)) ) )  => k3_finseq_1(k4_basel_1(A))=k3_finseq_1(A)) ) ).
fof(d5_basel_1, axiom,  (! [A] :  (v7_ordinal1(A) => k5_basel_1(A)=k24_valued_1(k1_finseq_2(A), k7_xcmplx_0(k28_sin_cos, k2_xcmplx_0(k3_xcmplx_0(2, A), 1)))) ) ).
fof(t21_basel_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (k3_finseq_1(k5_basel_1(A))=A &  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(B, A))  => k1_funct_1(k5_basel_1(A), B)=k7_xcmplx_0(k3_xcmplx_0(B, k28_sin_cos), k2_xcmplx_0(k3_xcmplx_0(2, A), 1))) ) ) ) ) ) ).
fof(t22_basel_1, axiom,  (! [A] :  (v7_ordinal1(A) => r1_tarski(k10_xtuple_0(k5_basel_1(A)), k2_rcomp_1(k5_numbers, k7_xcmplx_0(k28_sin_cos, 2)))) ) ).
fof(t23_basel_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, B))  =>  ( ~ (r1_xxreal_0(k1_funct_1(k5_basel_1(B), A), k5_numbers))  &  ~ (r1_xxreal_0(k7_xcmplx_0(k28_sin_cos, 2), k1_funct_1(k5_basel_1(B), A))) ) ) ) ) ) ) ).
fof(t24_basel_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, B))  => k2_xcmplx_0(k7_xcmplx_0(2, k3_xcmplx_0(A, k28_sin_cos)), k1_funct_1(k35_valued_1(k5_basel_1(B)), A))=k1_funct_1(k35_valued_1(k5_basel_1(k2_xcmplx_0(B, 1))), A)) ) ) ) ) ).
fof(t25_basel_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, B))  => k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2, B), 1), k1_funct_1(k5_basel_1(B), A))=k3_xcmplx_0(A, k28_sin_cos)) ) ) ) ) ).
fof(t26_basel_1, axiom,  (! [A] :  (v7_ordinal1(A) => k12_rvsum_1(k4_basel_1(k5_basel_1(A)))=k9_valued_1(k4_ordinal1, k1_numbers, k12_rvsum_1(k3_basel_1(k5_basel_1(A))), 1)) ) ).
fof(t27_basel_1, axiom,  (! [A] :  (v7_ordinal1(A) => v2_funct_1(k5_basel_1(A))) ) ).
fof(t28_basel_1, axiom,  (! [A] :  (v7_ordinal1(A) => v2_funct_1(k12_rvsum_1(k3_basel_1(k5_basel_1(A))))) ) ).
fof(t29_basel_1, axiom,  (! [A] :  (v7_ordinal1(A) => r1_xxreal_0(k18_rvsum_1(k12_rvsum_1(k3_basel_1(k5_basel_1(A)))), k16_rvsum_1(k37_valued_1(k4_ordinal1, k1_numbers, k12_rvsum_1(k5_basel_1(A)))))) ) ).
fof(t30_basel_1, axiom,  (! [A] :  (v7_ordinal1(A) => r1_xxreal_0(k16_rvsum_1(k37_valued_1(k4_ordinal1, k1_numbers, k12_rvsum_1(k5_basel_1(A)))), k18_rvsum_1(k12_rvsum_1(k4_basel_1(k5_basel_1(A)))))) ) ).
fof(d6_basel_1, axiom, k6_basel_1=k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k2_basel_1(k5_numbers, 1, 1, k5_numbers), k2_basel_1(k5_numbers, 1, 1, k5_numbers))).
fof(d7_basel_1, axiom, k7_basel_1=k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k26_valued_1(k4_ordinal1, k1_numbers, k2_basel_1(2, k5_numbers, 2, 1), k7_xcmplx_0(k1_square_1(k28_sin_cos), 6)), k2_basel_1(2, k4_xcmplx_0(1), 2, 1))).
fof(d8_basel_1, axiom, k8_basel_1=k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k26_valued_1(k4_ordinal1, k1_numbers, k2_basel_1(2, k5_numbers, 2, 1), k7_xcmplx_0(k1_square_1(k28_sin_cos), 6)), k2_basel_1(2, 2, 2, 1))).
fof(t31_basel_1, axiom,  (! [A] :  (v7_ordinal1(A) => k1_funct_1(k6_basel_1, A)=k7_xcmplx_0(1, k1_square_1(A))) ) ).
fof(t32_basel_1, axiom,  (! [A] :  (v7_ordinal1(A) => k1_funct_1(k7_basel_1, A)=k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k1_square_1(k28_sin_cos), 6), k7_xcmplx_0(k3_xcmplx_0(2, A), k2_xcmplx_0(k3_xcmplx_0(2, A), 1))), k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(2, A), 1), k2_xcmplx_0(k3_xcmplx_0(2, A), 1)))) ) ).
fof(t33_basel_1, axiom,  (! [A] :  (v7_ordinal1(A) => k1_funct_1(k8_basel_1, A)=k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k1_square_1(k28_sin_cos), 6), k7_xcmplx_0(k3_xcmplx_0(2, A), k2_xcmplx_0(k3_xcmplx_0(2, A), 1))), k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2, A), 2), k2_xcmplx_0(k3_xcmplx_0(2, A), 1)))) ) ).
fof(t34_basel_1, axiom,  (k1_seq_2(k7_basel_1)=k7_xcmplx_0(k1_square_1(k28_sin_cos), 6) & k7_xcmplx_0(k1_square_1(k28_sin_cos), 6)=k1_seq_2(k8_basel_1)) ).
fof(t35_basel_1, axiom,  (! [A] :  (v7_ordinal1(A) => k16_rvsum_1(k37_valued_1(k4_ordinal1, k1_numbers, k12_rvsum_1(k5_basel_1(A))))=k3_xcmplx_0(k7_xcmplx_0(k1_square_1(k2_xcmplx_0(k3_xcmplx_0(2, A), 1)), k1_square_1(k28_sin_cos)), k6_series_1(k6_basel_1, A))) ) ).
fof(dt_k1_basel_1, axiom,  (! [A, B, C, D] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) &  (v1_xcmplx_0(C) & v1_xcmplx_0(D)) ) )  =>  (v1_funct_1(k1_basel_1(A, B, C, D)) &  (v1_funct_2(k1_basel_1(A, B, C, D), k4_ordinal1, k2_numbers) & m1_subset_1(k1_basel_1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) ) ) ).
fof(dt_k2_basel_1, axiom,  (! [A, B, C, D] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v1_xreal_0(C) & v1_xreal_0(D)) ) )  =>  (v1_funct_1(k2_basel_1(A, B, C, D)) &  (v1_funct_2(k2_basel_1(A, B, C, D), k4_ordinal1, k1_numbers) & m1_subset_1(k2_basel_1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k3_basel_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  =>  (v1_relat_1(k3_basel_1(A)) & v1_funct_1(k3_basel_1(A))) ) ) ).
fof(dt_k4_basel_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  =>  (v1_relat_1(k4_basel_1(A)) & v1_funct_1(k4_basel_1(A))) ) ) ).
fof(dt_k5_basel_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_relat_1(k5_basel_1(A)) &  (v1_funct_1(k5_basel_1(A)) & v1_finseq_1(k5_basel_1(A))) ) ) ) ).
fof(dt_k6_basel_1, axiom,  (v1_funct_1(k6_basel_1) &  (v1_funct_2(k6_basel_1, k4_ordinal1, k1_numbers) & m1_subset_1(k6_basel_1, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ).
fof(dt_k7_basel_1, axiom,  (v1_funct_1(k7_basel_1) &  (v1_funct_2(k7_basel_1, k4_ordinal1, k1_numbers) & m1_subset_1(k7_basel_1, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ).
fof(dt_k8_basel_1, axiom,  (v1_funct_1(k8_basel_1) &  (v1_funct_2(k8_basel_1, k4_ordinal1, k1_numbers) & m1_subset_1(k8_basel_1, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ).
fof(t16_basel_1, axiom, k1_relset_1(k1_numbers, k26_sin_cos)=k3_tarski(a_0_0_basel_1)).
fof(fraenkel_a_0_0_basel_1, axiom,  (! [A] :  (r2_hidden(A, a_0_0_basel_1) <=>  (? [B] :  (v1_int_1(B) & A=k2_rcomp_1(k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 2)), k3_xcmplx_0(k28_sin_cos, B)), k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 2), k3_xcmplx_0(k28_sin_cos, B)))) ) ) ) ).
fof(rd1_basel_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_rlvect_1(A) & l6_algstr_0(A)) )  & v7_ordinal1(B))  => k5_binom(A, k4_struct_0(A), B)=k4_struct_0(A)) ) ).
fof(ie1_basel_2, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, u1_struct_0(k1_complfld)) &  (v1_xcmplx_0(B) & v7_ordinal1(C)) )  =>  (A=B => k5_binom(k1_complfld, A, C)=k3_xcmplx_0(C, B)) ) ) ).
fof(fc1_basel_2, axiom, v1_basel_2(k1_xcmplx_0)).
fof(cc1_basel_2, axiom,  (! [A] :  ( (v1_xcmplx_0(A) &  (v1_xreal_0(A) & v1_basel_2(A)) )  =>  (v8_ordinal1(A) & v1_xcmplx_0(A)) ) ) ).
fof(cc2_basel_2, axiom,  (! [A] :  ( (v8_ordinal1(A) & v1_xcmplx_0(A))  =>  (v1_xcmplx_0(A) & v1_basel_2(A)) ) ) ).
fof(fc2_basel_2, axiom,  (! [A, B] :  ( ( (v1_xcmplx_0(A) & v1_basel_2(A))  &  (v1_xcmplx_0(B) & v1_basel_2(B)) )  => v1_xreal_0(k3_xcmplx_0(A, B))) ) ).
fof(fc3_basel_2, axiom,  (! [A, B] :  ( ( (v1_xcmplx_0(A) & v1_basel_2(A))  &  (v1_xcmplx_0(B) & v1_basel_2(B)) )  => v1_basel_2(k2_xcmplx_0(A, B))) ) ).
fof(fc4_basel_2, axiom,  (! [A, B] :  ( ( (v1_xcmplx_0(A) & v1_basel_2(A))  &  (v1_xcmplx_0(B) & v1_xreal_0(B)) )  => v1_basel_2(k3_xcmplx_0(A, B))) ) ).
fof(fc5_basel_2, axiom,  (v1_xreal_0(k4_struct_0(k1_complfld)) & v1_basel_2(k4_struct_0(k1_complfld))) ).
fof(rc1_basel_2, axiom,  (? [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v2_algstr_0(A, k1_complfld) &  (v3_algstr_0(A, k1_complfld) &  (v4_algstr_0(A, k1_complfld) &  (v9_algstr_0(A, k1_complfld) &  (v10_algstr_0(A, k1_complfld) &  (v11_algstr_0(A, k1_complfld) & v1_basel_2(A)) ) ) ) ) ) ) ) ) ) ).
fof(fc6_basel_2, axiom,  (! [A, B] :  ( ( (v1_xreal_0(A) & m1_subset_1(A, u1_struct_0(k1_complfld)))  & v7_ordinal1(B))  => v1_xreal_0(k5_binom(k1_complfld, A, B))) ) ).
fof(fc7_basel_2, axiom,  (! [A, B] :  ( ( (v1_basel_2(A) & m1_subset_1(A, u1_struct_0(k1_complfld)))  & v7_ordinal1(B))  => v1_basel_2(k5_binom(k1_complfld, A, B))) ) ).
fof(fc8_basel_2, axiom,  (! [A, B] :  ( ( (v1_xcmplx_0(A) & v1_basel_2(A))  &  (v7_ordinal1(B) & v1_abian(B)) )  => v1_xreal_0(k1_binop_1(k4_group_1(k1_complfld), A, B))) ) ).
fof(fc9_basel_2, axiom,  (! [A, B] :  ( ( (v1_xcmplx_0(A) & v1_basel_2(A))  &  (v7_ordinal1(B) &  ~ (v1_abian(B)) ) )  =>  (v1_xcmplx_0(k1_binop_1(k4_group_1(k1_complfld), A, B)) & v1_basel_2(k1_binop_1(k4_group_1(k1_complfld), A, B))) ) ) ).
fof(fc10_basel_2, axiom,  (! [A, B] :  ( ( (v1_xreal_0(A) & m1_subset_1(A, u1_struct_0(k1_complfld)))  & v7_ordinal1(B))  => v1_xreal_0(k1_binop_1(k4_group_1(k1_complfld), A, B))) ) ).
fof(cc3_basel_2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (v9_struct_0(A, k1_complfld) =>  (v1_xreal_0(A) & v1_basel_2(A)) ) ) ) ).
fof(fc11_basel_2, axiom,  (! [A] :  ( (v1_basel_2(A) & m1_subset_1(A, u1_struct_0(k1_complfld)))  =>  (v1_funct_1(k2_algseq_1(k1_complfld, A)) &  (v1_funct_2(k2_algseq_1(k1_complfld, A), k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(k2_algseq_1(k1_complfld, A), k1_complfld) & v2_basel_2(k2_algseq_1(k1_complfld, A))) ) ) ) ) ).
fof(fc12_basel_2, axiom,  (! [A, B] :  ( ( (v1_basel_2(A) & m1_subset_1(A, u1_struct_0(k1_complfld)))  &  (v1_basel_2(B) & m1_subset_1(B, u1_struct_0(k1_complfld))) )  =>  (v1_funct_1(k5_polynom5(k1_complfld, A, B)) &  (v1_funct_2(k5_polynom5(k1_complfld, A, B), k4_ordinal1, u1_struct_0(k1_complfld)) & v2_basel_2(k5_polynom5(k1_complfld, A, B))) ) ) ) ).
fof(rc2_basel_2, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld)))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_struct_0(k1_complfld)) &  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_valued_0(A) &  (v1_polynom1(A, k1_complfld) & v2_basel_2(A)) ) ) ) ) ) ) ) ) ).
fof(fc13_basel_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  &  (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) ) ) )  =>  (v1_funct_1(k3_basel_2(u1_struct_0(A), B, C)) &  (v1_funct_2(k3_basel_2(u1_struct_0(A), B, C), k4_ordinal1, u1_struct_0(A)) & v1_polynom1(k3_basel_2(u1_struct_0(A), B, C), A)) ) ) ) ).
fof(fc14_basel_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_funct_1(k3_basel_2(u1_struct_0(k1_complfld), k3_polynom5(k1_complfld, k5_polynom5(k1_complfld, k2_hahnban1, k5_struct_0(k1_complfld)), k1_nat_1(k3_xcmplx_0(2, A), 1)), 2)) &  (v1_funct_2(k3_basel_2(u1_struct_0(k1_complfld), k3_polynom5(k1_complfld, k5_polynom5(k1_complfld, k2_hahnban1, k5_struct_0(k1_complfld)), k1_nat_1(k3_xcmplx_0(2, A), 1)), 2), k4_ordinal1, u1_struct_0(k1_complfld)) & v1_uproots(k3_basel_2(u1_struct_0(k1_complfld), k3_polynom5(k1_complfld, k5_polynom5(k1_complfld, k2_hahnban1, k5_struct_0(k1_complfld)), k1_nat_1(k3_xcmplx_0(2, A), 1)), 2), k1_complfld)) ) ) ) ).
fof(fc15_basel_2, axiom,  (v1_funct_1(k2_series_1(k6_basel_1)) &  (v1_funct_2(k2_series_1(k6_basel_1), k4_ordinal1, k1_numbers) &  ~ (v1_series_1(k2_series_1(k6_basel_1))) ) ) ).
fof(t1_basel_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_complfld)) =>  (B=C => k3_xcmplx_0(A, B)=k5_binom(k1_complfld, C, A)) ) ) ) ) ) ) ).
fof(t2_basel_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_valued_0(A) & v1_finseq_1(A)) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k1_complfld)) =>  (B=A => k16_rvsum_1(A)=k4_rlvect_1(k1_complfld, B)) ) ) ) ) ).
fof(t3_basel_2, axiom,  (! [A] :  (v7_ordinal1(A) => k2_binom(k1_complfld, k1_group_1(k1_complfld), A)=k1_group_1(k1_complfld)) ) ).
fof(t4_basel_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_rlvect_1(A) &  (v1_algstr_1(A) & l2_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k5_polynom5(A, B, C), k1_normsp_1(A, k2_algseq_1(A, B), k5_polynom5(A, k4_struct_0(A), C)))) ) ) ) ) ) ).
fof(t5_basel_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k11_polynom3(A, k5_polynom5(A, B, C), k5_polynom5(A, D, E)), k1_niven(A, k6_algstr_0(A, B, D), k1_algstr_0(A, k6_algstr_0(A, B, E), k6_algstr_0(A, C, D)), k6_algstr_0(A, C, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t6_basel_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k1_niven(A, k4_struct_0(A), k4_struct_0(A), k5_struct_0(A)), k3_polynom5(A, k5_polynom5(A, k4_struct_0(A), k5_struct_0(A)), 2))) ) ).
fof(t7_basel_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_vectsp_1(B) & l6_algstr_0(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) )  => k8_nat_1(u1_struct_0(B), k11_polynom3(B, D, k2_algseq_1(B, C)), A)=k6_algstr_0(B, k8_nat_1(u1_struct_0(B), D, A), C)) ) ) ) ) ) ) ) ).
fof(t8_basel_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => r2_funct_2(k4_ordinal1, u1_struct_0(B), k3_polynom5(B, k2_algseq_1(B, C), A), k2_algseq_1(B, k2_binom(B, C, A)))) ) ) ) ) ) ).
fof(t9_basel_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (k8_nat_1(u1_struct_0(C), k3_polynom5(C, k5_polynom5(C, D, E), k5_numbers), k5_numbers)=k5_struct_0(C) &  ( ( ~ (r1_xxreal_0(B, k5_numbers))  => k8_nat_1(u1_struct_0(C), k3_polynom5(C, k5_polynom5(C, k4_struct_0(C), E), B), B)=k2_binom(C, E, B))  &  ( ~ (A=B)  => k8_nat_1(u1_struct_0(C), k3_polynom5(C, k5_polynom5(C, k4_struct_0(C), E), B), A)=k4_struct_0(C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_basel_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (k8_nat_1(u1_struct_0(B), k3_polynom5(B, k1_niven(B, k4_struct_0(B), k4_struct_0(B), k1_group_1(B)), A), k3_xcmplx_0(2, A))=k1_group_1(B) &  (! [C] :  (v7_ordinal1(C) =>  ( ~ (C=k3_xcmplx_0(2, A))  => k8_nat_1(u1_struct_0(B), k3_polynom5(B, k1_niven(B, k4_struct_0(B), k4_struct_0(B), k1_group_1(B)), A), C)=k4_struct_0(B)) ) ) ) ) ) ) ) ).
fof(t11_basel_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  ~ (r1_xxreal_0(k1_algseq_1(A, B), k4_card_1(k7_polynom5(A, B)))) ) ) ) ) ).
fof(d1_basel_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => k1_basel_2(A, B)=B) ) ) ) ).
fof(d2_basel_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  (v7_ordinal1(C) => k2_basel_2(A, B, C)=k5_binom(k13_polynom3(A), k1_basel_2(A, B), C)) ) ) ) ) ) ).
fof(t12_basel_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_vectsp_1(C) & l6_algstr_0(C)) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(C))))) ) )  => k8_nat_1(u1_struct_0(C), k2_basel_2(C, D, B), A)=k5_binom(C, k8_nat_1(u1_struct_0(C), D, A), B)) ) ) ) ) ) ) ) ).
fof(t13_basel_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) => k8_nat_1(u1_struct_0(C), k3_polynom5(C, k5_polynom5(C, D, E), B), A)=k5_binom(C, k8_group_1(C, k2_binom(C, E, A), k2_binom(C, D, k7_nat_d(B, A))), k4_newton(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(d3_basel_2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (v1_basel_2(A) <=> k3_complex1(A)=k5_numbers) ) ) ).
fof(d4_basel_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) )  =>  (v2_basel_2(A) <=>  (! [B] :  (v7_ordinal1(B) => v1_basel_2(k8_nat_1(u1_struct_0(k1_complfld), A, B))) ) ) ) ) ).
fof(t14_basel_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) &  (v2_basel_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) ) )  =>  (! [B] :  ( (v1_xreal_0(B) & m1_subset_1(B, u1_struct_0(k1_complfld)))  => v1_basel_2(k2_polynom4(k1_complfld, A, B))) ) ) ) ).
fof(t15_basel_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) &  (v6_hurwitz2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) ) )  =>  (! [B] :  ( (v1_xreal_0(B) & m1_subset_1(B, u1_struct_0(k1_complfld)))  => v1_xreal_0(k2_polynom4(k1_complfld, A, B))) ) ) ) ).
fof(t16_basel_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_basel_2(B) & m1_subset_1(B, u1_struct_0(k1_complfld)))  =>  (! [C] :  ( (v1_xreal_0(C) & m1_subset_1(C, u1_struct_0(k1_complfld)))  =>  (v1_abian(A) =>  (v6_hurwitz2(k1_hurwitz2(k1_complfld, k3_polynom5(k1_complfld, k5_polynom5(k1_complfld, B, C), A))) & v2_basel_2(k2_hurwitz2(k1_complfld, k3_polynom5(k1_complfld, k5_polynom5(k1_complfld, B, C), A)))) ) ) ) ) ) ) ) ).
fof(t17_basel_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_basel_2(B) & m1_subset_1(B, u1_struct_0(k1_complfld)))  =>  (! [C] :  ( (v1_xreal_0(C) & m1_subset_1(C, u1_struct_0(k1_complfld)))  =>  ( ~ (v1_abian(A))  =>  (v2_basel_2(k1_hurwitz2(k1_complfld, k3_polynom5(k1_complfld, k5_polynom5(k1_complfld, B, C), A))) & v6_hurwitz2(k2_hurwitz2(k1_complfld, k3_polynom5(k1_complfld, k5_polynom5(k1_complfld, B, C), A)))) ) ) ) ) ) ) ) ).
fof(t18_basel_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ~ ( ( ~ (k1_algseq_1(A, k1_hurwitz2(A, B))=k5_numbers)  & v1_abian(k1_algseq_1(A, k1_hurwitz2(A, B)))) ) ) ) ) ) ).
fof(d5_basel_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  =>  (D=k3_basel_2(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) => k8_nat_1(A, D, E)=k8_nat_1(A, B, k3_xcmplx_0(C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_basel_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(B), k3_basel_2(u1_struct_0(B), C, k3_xcmplx_0(2, A)), k3_basel_2(u1_struct_0(B), k1_hurwitz2(B, C), k3_xcmplx_0(2, A)))) ) ) ) ) ) ).
fof(t20_basel_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ( ~ (v1_abian(k1_algseq_1(A, k1_hurwitz2(A, B))))  => k2_nat_1(2, k1_algseq_1(A, k3_basel_2(u1_struct_0(A), B, 2)))=k1_nat_1(k1_algseq_1(A, k1_hurwitz2(A, B)), 1)) ) ) ) ) ).
fof(t21_basel_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (k1_algseq_1(A, k1_hurwitz2(A, B))=k5_numbers =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  => k1_algseq_1(A, k3_basel_2(u1_struct_0(A), B, k3_xcmplx_0(2, C)))=k5_numbers) ) ) ) ) ) ) ).
fof(t22_basel_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k1_hurwitz2(A, B), k6_polynom5(A, k3_basel_2(u1_struct_0(A), B, 2), k1_niven(A, k4_struct_0(A), k4_struct_0(A), k1_group_1(A))))) ) ) ) ).
fof(t23_basel_2, axiom,  (! [A] :  (v7_ordinal1(A) => k8_nat_1(u1_struct_0(k1_complfld), k3_basel_2(u1_struct_0(k1_complfld), k3_polynom5(k1_complfld, k5_polynom5(k1_complfld, k2_hahnban1, k5_struct_0(k1_complfld)), k1_nat_1(k3_xcmplx_0(2, A), 1)), 2), A)=k5_binom(k1_complfld, k2_hahnban1, k4_newton(1, k1_nat_1(k3_xcmplx_0(2, A), 1)))) ) ).
fof(t24_basel_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) => k1_funct_1(k3_basel_2(u1_struct_0(k1_complfld), k3_polynom5(k1_complfld, k5_polynom5(k1_complfld, k2_hahnban1, k5_struct_0(k1_complfld)), k1_nat_1(k3_xcmplx_0(2, A), 1)), 2), k6_xcmplx_0(A, 1))=k5_binom(k1_complfld, k4_algstr_0(k1_complfld, k2_hahnban1), k4_newton(3, k1_nat_1(k3_xcmplx_0(2, A), 1)))) ) ) ).
fof(t25_basel_2, axiom,  (! [A] :  (v7_ordinal1(A) => k1_algseq_1(k1_complfld, k3_basel_2(u1_struct_0(k1_complfld), k3_polynom5(k1_complfld, k5_polynom5(k1_complfld, k2_hahnban1, k5_struct_0(k1_complfld)), k1_nat_1(k3_xcmplx_0(2, A), 1)), 2))=k1_nat_1(A, 1)) ) ).
fof(t26_basel_2, axiom,  (! [A] :  (v7_ordinal1(A) => r1_tarski(k1_rvsum_1(k12_rvsum_1(k3_basel_1(k5_basel_1(A)))), k7_polynom5(k1_complfld, k3_basel_2(u1_struct_0(k1_complfld), k3_polynom5(k1_complfld, k5_polynom5(k1_complfld, k2_hahnban1, k5_struct_0(k1_complfld)), k1_nat_1(k3_xcmplx_0(2, A), 1)), 2)))) ) ).
fof(t27_basel_2, axiom,  (! [A] :  (v7_ordinal1(A) => k7_polynom5(k1_complfld, k3_basel_2(u1_struct_0(k1_complfld), k3_polynom5(k1_complfld, k5_polynom5(k1_complfld, k2_hahnban1, k5_struct_0(k1_complfld)), k1_nat_1(k3_xcmplx_0(2, A), 1)), 2))=k1_rvsum_1(k12_rvsum_1(k3_basel_1(k5_basel_1(A))))) ) ).
fof(t28_basel_2, axiom,  (! [A] :  (v7_ordinal1(A) => k18_rvsum_1(k12_rvsum_1(k3_basel_1(k5_basel_1(A))))=k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, A), k6_xcmplx_0(k3_xcmplx_0(2, A), 1)), 6)) ) ).
fof(t29_basel_2, axiom,  (! [A] :  (v7_ordinal1(A) => k18_rvsum_1(k12_rvsum_1(k4_basel_1(k5_basel_1(A))))=k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, A), k1_nat_1(k3_xcmplx_0(2, A), 2)), 6)) ) ).
fof(t30_basel_2, axiom,  (! [A] :  (v7_ordinal1(A) => r1_xxreal_0(k8_nat_1(k1_numbers, k7_basel_1, A), k6_series_1(k6_basel_1, A))) ) ).
fof(t31_basel_2, axiom,  (! [A] :  (v7_ordinal1(A) => r1_xxreal_0(k6_series_1(k6_basel_1, A), k8_nat_1(k1_numbers, k8_basel_1, A))) ) ).
fof(t32_basel_2, axiom, k4_series_1(k6_basel_1)=k7_xcmplx_0(k1_square_1(k28_sin_cos), 6)).
fof(dt_k1_basel_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  => m1_subset_1(k1_basel_2(A, B), u1_struct_0(k13_polynom3(A)))) ) ).
fof(dt_k2_basel_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  & v7_ordinal1(C)) )  =>  (v1_funct_1(k2_basel_2(A, B, C)) &  (v1_funct_2(k2_basel_2(A, B, C), k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(k2_basel_2(A, B, C), A) & m1_subset_1(k2_basel_2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ) ).
fof(dt_k3_basel_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  & v7_ordinal1(C)) )  =>  (v1_funct_1(k3_basel_2(A, B, C)) &  (v1_funct_2(k3_basel_2(A, B, C), k4_ordinal1, A) & m1_subset_1(k3_basel_2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) ) ) ) ).
fof(rc1_bcialg_1, axiom,  (? [A] :  (l1_bcialg_1(A) & v1_bcialg_1(A)) ) ).
fof(rc2_bcialg_1, axiom,  (? [A] :  (l1_bcialg_1(A) &  ( ~ (v2_struct_0(A))  & v1_bcialg_1(A)) ) ) ).
fof(rc3_bcialg_1, axiom,  (? [A] :  (l2_bcialg_1(A) & v2_bcialg_1(A)) ) ).
fof(rc4_bcialg_1, axiom,  (? [A] :  (l2_bcialg_1(A) &  ( ~ (v2_struct_0(A))  & v2_bcialg_1(A)) ) ) ).
fof(fc1_bcialg_1, axiom,  (v13_struct_0(k3_bcialg_1, 1) & v2_bcialg_1(k3_bcialg_1)) ).
fof(fc2_bcialg_1, axiom,  (v3_bcialg_1(k3_bcialg_1) &  (v4_bcialg_1(k3_bcialg_1) &  (v5_bcialg_1(k3_bcialg_1) &  (v7_bcialg_1(k3_bcialg_1) & v8_bcialg_1(k3_bcialg_1)) ) ) ) ).
fof(rc5_bcialg_1, axiom,  (? [A] :  (l2_bcialg_1(A) &  ( ~ (v2_struct_0(A))  &  (v2_bcialg_1(A) &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & v8_bcialg_1(A)) ) ) ) ) ) ) ) ).
fof(rc6_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (? [B] :  (m1_bcialg_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) &  ~ (v9_bcialg_1(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(rc7_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (? [B] :  (m2_bcialg_1(B, A) &  ( ~ (v1_xboole_0(B))  & v12_bcialg_1(B, A)) ) ) ) ) ).
fof(fc3_bcialg_1, axiom,  (v13_bcialg_1(k3_bcialg_1) &  (v15_bcialg_1(k3_bcialg_1) &  (v16_bcialg_1(k3_bcialg_1) &  (v17_bcialg_1(k3_bcialg_1) &  (v18_bcialg_1(k3_bcialg_1) & v19_bcialg_1(k3_bcialg_1)) ) ) ) ) ).
fof(rc8_bcialg_1, axiom,  (? [A] :  (l2_bcialg_1(A) &  ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v13_bcialg_1(A) &  (v15_bcialg_1(A) &  (v16_bcialg_1(A) &  (v17_bcialg_1(A) &  (v18_bcialg_1(A) & v19_bcialg_1(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_bcialg_1, axiom,  (! [A] :  (l2_bcialg_1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & v20_bcialg_1(A)) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & v13_bcialg_1(A)) ) ) ) ) ) ) ) ).
fof(cc2_bcialg_1, axiom,  (! [A] :  (l2_bcialg_1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & v13_bcialg_1(A)) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & v20_bcialg_1(A)) ) ) ) ) ) ) ) ).
fof(cc3_bcialg_1, axiom,  (! [A] :  (l2_bcialg_1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & v20_bcialg_1(A)) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & v17_bcialg_1(A)) ) ) ) ) ) ) ) ).
fof(cc4_bcialg_1, axiom,  (! [A] :  (l2_bcialg_1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & v13_bcialg_1(A)) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & v16_bcialg_1(A)) ) ) ) ) ) ) ) ).
fof(cc5_bcialg_1, axiom,  (! [A] :  (l2_bcialg_1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & v19_bcialg_1(A)) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & v16_bcialg_1(A)) ) ) ) ) ) ) ) ).
fof(cc6_bcialg_1, axiom,  (! [A] :  (l2_bcialg_1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & v15_bcialg_1(A)) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & v16_bcialg_1(A)) ) ) ) ) ) ) ) ).
fof(cc7_bcialg_1, axiom,  (! [A] :  (l2_bcialg_1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & v20_bcialg_1(A)) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & v16_bcialg_1(A)) ) ) ) ) ) ) ) ).
fof(d1_bcialg_1, axiom,  (! [A] :  (l1_bcialg_1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, B, C)=k4_binop_1(u1_struct_0(A), u1_bcialg_1(A), B, C)) ) ) ) ) ) ).
fof(d2_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_bcialg_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_bcialg_1(A, B)=k1_bcialg_1(A, k4_struct_0(A), B)) ) ) ) ).
fof(d3_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_bcialg_1(A))  =>  (v3_bcialg_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_bcialg_1(A, k1_bcialg_1(A, k1_bcialg_1(A, B, C), k1_bcialg_1(A, D, C)), k1_bcialg_1(A, B, D))=k4_struct_0(A)) ) ) ) ) ) ) ) ) ).
fof(d4_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_bcialg_1(A))  =>  (v4_bcialg_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_bcialg_1(A, k1_bcialg_1(A, k1_bcialg_1(A, B, C), D), k1_bcialg_1(A, k1_bcialg_1(A, B, D), C))=k4_struct_0(A)) ) ) ) ) ) ) ) ) ).
fof(d5_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_bcialg_1(A))  =>  (v5_bcialg_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_bcialg_1(A, B, B)=k4_struct_0(A)) ) ) ) ) ).
fof(d6_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_bcialg_1(A))  =>  (v6_bcialg_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, k1_bcialg_1(A, B, C), B)=k4_struct_0(A)) ) ) ) ) ) ) ).
fof(d7_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_bcialg_1(A))  =>  (v7_bcialg_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (k1_bcialg_1(A, B, C)=k4_struct_0(A) & k1_bcialg_1(A, C, B)=k4_struct_0(A))  => B=C) ) ) ) ) ) ) ) ).
fof(d8_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_bcialg_1(A))  =>  (v8_bcialg_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_bcialg_1(A, B)=k4_struct_0(A)) ) ) ) ) ).
fof(d9_bcialg_1, axiom, k3_bcialg_1=g2_bcialg_1(k1_tarski(k5_ordinal1), k9_funct_5, k5_funct_5)).
fof(d10_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  =>  (m1_bcialg_1(B, A) <=>  (k4_struct_0(B)=k4_struct_0(A) &  (r1_tarski(u1_struct_0(B), u1_struct_0(A)) & u1_bcialg_1(B)=k1_realset1(u1_bcialg_1(A), u1_struct_0(B))) ) ) ) ) ) ) ).
fof(t1_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_bcialg_1(A))  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  <=>  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k1_bcialg_1(A, k1_bcialg_1(A, k1_bcialg_1(A, B, C), k1_bcialg_1(A, B, D)), k1_bcialg_1(A, D, C))=k4_struct_0(A) & k1_bcialg_1(A, k1_bcialg_1(A, B, k1_bcialg_1(A, B, C)), C)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_bcialg_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_bcialg_1(A, B, C) <=> k1_bcialg_1(A, B, C)=k4_struct_0(A)) ) ) ) ) ) ) ).
fof(t2_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_bcialg_1(A, B, k4_struct_0(A))=B) ) ) ) ).
fof(t3_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (k1_bcialg_1(A, B, C)=k4_struct_0(A) & k1_bcialg_1(A, C, D)=k4_struct_0(A))  => k1_bcialg_1(A, B, D)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ).
fof(t4_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k1_bcialg_1(A, B, C)=k4_struct_0(A) =>  (k1_bcialg_1(A, k1_bcialg_1(A, B, D), k1_bcialg_1(A, C, D))=k4_struct_0(A) & k1_bcialg_1(A, k1_bcialg_1(A, D, C), k1_bcialg_1(A, D, B))=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ).
fof(t5_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_bcialg_1(A, B, C) =>  (r1_bcialg_1(A, k1_bcialg_1(A, B, D), k1_bcialg_1(A, C, D)) & r1_bcialg_1(A, k1_bcialg_1(A, D, C), k1_bcialg_1(A, D, B))) ) ) ) ) ) ) ) ) ) ).
fof(t6_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_bcialg_1(A, B, C)=k4_struct_0(A) => k2_bcialg_1(A, k1_bcialg_1(A, C, B))=k4_struct_0(A)) ) ) ) ) ) ) ).
fof(t7_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_bcialg_1(A, k1_bcialg_1(A, B, C), D)=k1_bcialg_1(A, k1_bcialg_1(A, B, D), C)) ) ) ) ) ) ) ) ).
fof(t8_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, B, k1_bcialg_1(A, B, k1_bcialg_1(A, B, C)))=k1_bcialg_1(A, B, C)) ) ) ) ) ) ).
fof(t9_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_bcialg_1(A, k1_bcialg_1(A, B, C))=k1_bcialg_1(A, k2_bcialg_1(A, B), k2_bcialg_1(A, C))) ) ) ) ) ) ).
fof(t10_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, k1_bcialg_1(A, k1_bcialg_1(A, B, k1_bcialg_1(A, B, C)), k1_bcialg_1(A, C, B)), k1_bcialg_1(A, B, k1_bcialg_1(A, B, k1_bcialg_1(A, C, k1_bcialg_1(A, C, B)))))=k4_struct_0(A)) ) ) ) ) ) ).
fof(t11_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_bcialg_1(A))  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  <=>  (v7_bcialg_1(A) &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k1_bcialg_1(A, k1_bcialg_1(A, k1_bcialg_1(A, B, C), k1_bcialg_1(A, B, D)), k1_bcialg_1(A, D, C))=k4_struct_0(A) & k1_bcialg_1(A, B, k4_struct_0(A))=B) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  ( (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k1_bcialg_1(B, C, k1_bcialg_1(B, C, D))=k1_bcialg_1(B, D, k1_bcialg_1(B, D, C))) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) ) ) ) ) ).
fof(t13_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  ( (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k1_bcialg_1(B, k1_bcialg_1(B, C, D), D)=k1_bcialg_1(B, C, D)) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) ) ) ) ) ).
fof(t14_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  ( (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k1_bcialg_1(B, C, k1_bcialg_1(B, D, C))=C) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) ) ) ) ) ).
fof(t15_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  ( (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => k1_bcialg_1(B, k1_bcialg_1(B, C, D), D)=k1_bcialg_1(B, k1_bcialg_1(B, C, E), k1_bcialg_1(B, D, E))) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) ) ) ) ) ).
fof(t16_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  ( (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k1_bcialg_1(B, k1_bcialg_1(B, C, D), k1_bcialg_1(B, D, C))=k1_bcialg_1(B, C, D)) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) ) ) ) ) ).
fof(t17_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  ( (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k1_bcialg_1(B, k1_bcialg_1(B, C, D), k1_bcialg_1(B, k1_bcialg_1(B, C, D), k1_bcialg_1(B, D, C)))=k4_struct_0(B)) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) ) ) ) ) ).
fof(t18_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v6_bcialg_1(A) <=>  ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) ) ) ) ) ).
fof(t19_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  => r2_tarski(k4_struct_0(A), k4_bcialg_1(A))) ) ).
fof(t20_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k4_bcialg_1(A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), k4_bcialg_1(A)) => r2_tarski(k1_bcialg_1(A, B, C), k4_bcialg_1(A))) ) ) ) ) ) ).
fof(t21_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), k4_bcialg_1(A)) => r1_bcialg_1(A, k1_bcialg_1(A, B, C), B)) ) ) ) ) ) ).
fof(t22_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  => m1_bcialg_1(A, A)) ) ).
fof(d13_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_bcialg_1(B, A) =>  (v9_bcialg_1(B, A) <=>  ~ (B=A) ) ) ) ) ) ).
fof(d14_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v10_bcialg_1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_bcialg_1(A, C, B)=k4_struct_0(A) => C=B) ) ) ) ) ) ) ) ).
fof(t23_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  => r2_tarski(k4_struct_0(A), k5_bcialg_1(A))) ) ).
fof(t24_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (r2_tarski(B, k5_bcialg_1(A)) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, C, k1_bcialg_1(A, C, B))=B) ) ) ) ) ) ) ).
fof(t25_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (r2_tarski(B, k5_bcialg_1(A)) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_bcialg_1(A, k1_bcialg_1(A, D, C), k1_bcialg_1(A, D, B))=k1_bcialg_1(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t26_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (r2_tarski(B, k5_bcialg_1(A)) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_bcialg_1(A, k1_bcialg_1(A, B, k1_bcialg_1(A, D, C)), k1_bcialg_1(A, C, k1_bcialg_1(A, D, B)))) ) ) ) ) ) ) ) ) ).
fof(t27_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (r2_tarski(B, k5_bcialg_1(A)) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => r1_bcialg_1(A, k1_bcialg_1(A, k1_bcialg_1(A, B, E), k1_bcialg_1(A, D, C)), k1_bcialg_1(A, k1_bcialg_1(A, C, E), k1_bcialg_1(A, D, B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (r2_tarski(B, k5_bcialg_1(A)) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, k2_bcialg_1(A, C), k2_bcialg_1(A, B))=k1_bcialg_1(A, B, C)) ) ) ) ) ) ) ).
fof(t29_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (r2_tarski(B, k5_bcialg_1(A)) <=> k2_bcialg_1(A, k2_bcialg_1(A, B))=B) ) ) ) ) ).
fof(t30_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (r2_tarski(B, k5_bcialg_1(A)) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_bcialg_1(A, k1_bcialg_1(A, C, B))=k1_bcialg_1(A, B, C)) ) ) ) ) ) ) ).
fof(t31_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (r2_tarski(B, k5_bcialg_1(A)) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_bcialg_1(A, k2_bcialg_1(A, k1_bcialg_1(A, B, C)))=k1_bcialg_1(A, B, C)) ) ) ) ) ) ) ).
fof(t32_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (r2_tarski(B, k5_bcialg_1(A)) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_bcialg_1(A, C, k1_bcialg_1(A, C, k1_bcialg_1(A, B, D)))=k1_bcialg_1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t33_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k5_bcialg_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_tarski(k1_bcialg_1(A, B, C), k5_bcialg_1(A))) ) ) ) ) ) ).
fof(t34_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r2_tarski(k2_bcialg_1(A, B), k5_bcialg_1(A))) ) ) ) ).
fof(t35_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  (m2_subset_1(C, u1_struct_0(A), k5_bcialg_1(A)) & r1_bcialg_1(A, C, B)) ) ) ) ) ) ).
fof(d16_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v11_bcialg_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  (m2_subset_1(C, u1_struct_0(A), k5_bcialg_1(A)) & r1_bcialg_1(A, C, B)) ) ) ) ) ) ) ).
fof(t36_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  => v11_bcialg_1(A)) ) ).
fof(t37_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k5_bcialg_1(A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), k5_bcialg_1(A)) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(A), k7_bcialg_1(A, C)) => k1_bcialg_1(A, B, D)=k6_bcialg_1(A, B, C)) ) ) ) ) ) ) ) ).
fof(t38_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k5_bcialg_1(A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), k4_bcialg_1(A)) => k1_bcialg_1(A, B, C)=B) ) ) ) ) ) ).
fof(t39_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k5_bcialg_1(A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), k5_bcialg_1(A)) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(A), k7_bcialg_1(A, B)) =>  (! [E] :  (m2_subset_1(E, u1_struct_0(A), k7_bcialg_1(A, C)) => r2_tarski(k1_bcialg_1(A, D, E), k7_bcialg_1(A, k6_bcialg_1(A, B, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t40_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k5_bcialg_1(A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), k7_bcialg_1(A, B)) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(A), k7_bcialg_1(A, B)) => r2_tarski(k1_bcialg_1(A, C, D), k4_bcialg_1(A))) ) ) ) ) ) ) ) ).
fof(t41_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k5_bcialg_1(A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), k5_bcialg_1(A)) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(A), k7_bcialg_1(A, B)) =>  (! [E] :  (m2_subset_1(E, u1_struct_0(A), k7_bcialg_1(A, C)) =>  ~ ( ( ~ (B=C)  & r2_tarski(k1_bcialg_1(A, D, E), k4_bcialg_1(A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k5_bcialg_1(A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), k5_bcialg_1(A)) =>  ( ~ (B=C)  => k9_subset_1(u1_struct_0(A), k7_bcialg_1(A, B), k7_bcialg_1(A, C))=k1_xboole_0) ) ) ) ) ) ) ).
fof(d18_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (m2_bcialg_1(B, A) <=>  (r2_tarski(k4_struct_0(A), B) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(k1_bcialg_1(A, C, D), B) & r2_tarski(D, B))  => r2_tarski(C, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_bcialg_1(B, A) =>  (v12_bcialg_1(B, A) <=>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), B) => r2_tarski(k2_bcialg_1(A, C), B)) ) ) ) ) ) ) ).
fof(t43_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v12_bcialg_1(k1_tarski(k4_struct_0(A)), A) & m2_bcialg_1(k1_tarski(k4_struct_0(A)), A)) ) ) ).
fof(t44_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v12_bcialg_1(u1_struct_0(A), A) & m2_bcialg_1(u1_struct_0(A), A)) ) ) ).
fof(t45_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v12_bcialg_1(k4_bcialg_1(A), A) & m2_bcialg_1(k4_bcialg_1(A), A)) ) ) ).
fof(t46_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (m2_bcialg_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r1_bcialg_1(A, D, C))  => r2_tarski(D, B)) ) ) ) ) ) ) ) ) ) ).
fof(d20_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v13_bcialg_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_bcialg_1(A, k1_bcialg_1(A, B, C), D)=k1_bcialg_1(A, B, k1_bcialg_1(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(d21_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v14_bcialg_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_bcialg_1(A, k2_bcialg_1(A, B))=k2_bcialg_1(A, B)) ) ) ) ) ).
fof(d22_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v15_bcialg_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, k1_bcialg_1(A, B, k1_bcialg_1(A, B, C)), k1_bcialg_1(A, C, B))=k1_bcialg_1(A, B, k1_bcialg_1(A, B, k1_bcialg_1(A, C, k1_bcialg_1(A, C, B))))) ) ) ) ) ) ) ).
fof(d23_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v16_bcialg_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_bcialg_1(A, k1_bcialg_1(A, B, C), D)=k1_bcialg_1(A, k1_bcialg_1(A, k1_bcialg_1(A, B, D), D), k1_bcialg_1(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(d24_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v17_bcialg_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, k1_bcialg_1(A, B, k1_bcialg_1(A, B, C)), k1_bcialg_1(A, C, B))=k1_bcialg_1(A, C, k1_bcialg_1(A, C, B))) ) ) ) ) ) ) ).
fof(d25_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v18_bcialg_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, k1_bcialg_1(A, B, k1_bcialg_1(A, C, B)), k2_bcialg_1(A, k1_bcialg_1(A, C, B)))=B) ) ) ) ) ) ) ).
fof(d26_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v19_bcialg_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, B, k1_bcialg_1(A, B, C))=C) ) ) ) ) ) ) ).
fof(d27_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v20_bcialg_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_bcialg_1(A, B, k1_bcialg_1(A, B, C))=k1_bcialg_1(A, k1_bcialg_1(A, B, B), C) & k1_bcialg_1(A, k1_bcialg_1(A, B, C), C)=k1_bcialg_1(A, B, k1_bcialg_1(A, C, C))) ) ) ) ) ) ) ) ).
fof(t47_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v13_bcialg_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_bcialg_1(A, B)=B) ) ) ) ) ).
fof(t48_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, C, B)=k1_bcialg_1(A, B, C)) ) ) )  <=> v13_bcialg_1(A)) ) ) ).
fof(t49_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_bcialg_1(A))  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v13_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k1_bcialg_1(A, k1_bcialg_1(A, C, B), k1_bcialg_1(A, D, B))=k1_bcialg_1(A, D, C) & k1_bcialg_1(A, B, k4_struct_0(A))=B) ) ) ) ) ) ) ) ) ) ).
fof(t50_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_bcialg_1(A))  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v13_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k1_bcialg_1(A, k1_bcialg_1(A, B, C), k1_bcialg_1(A, B, D))=k1_bcialg_1(A, D, C) & k2_bcialg_1(A, B)=B) ) ) ) ) ) ) ) ) ) ).
fof(t51_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_bcialg_1(A))  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v13_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k1_bcialg_1(A, k1_bcialg_1(A, B, C), k1_bcialg_1(A, B, D))=k1_bcialg_1(A, C, D) & k1_bcialg_1(A, B, k4_struct_0(A))=B) ) ) ) ) ) ) ) ) ) ).
fof(t52_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v19_bcialg_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v10_bcialg_1(B, A)) ) ) ) ) ).
fof(t53_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v19_bcialg_1(A) => k4_bcialg_1(A)=k1_tarski(k4_struct_0(A))) ) ) ).
fof(t54_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v19_bcialg_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_bcialg_1(A, k2_bcialg_1(A, B))=B) ) ) ) ) ).
fof(t55_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v19_bcialg_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, C, k1_bcialg_1(A, C, B))=B) ) ) ) ) ) ) ).
fof(t56_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v19_bcialg_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_bcialg_1(A, k1_bcialg_1(A, D, C), k1_bcialg_1(A, D, B))=k1_bcialg_1(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t57_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v19_bcialg_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_bcialg_1(A, B, k1_bcialg_1(A, D, C))=k1_bcialg_1(A, C, k1_bcialg_1(A, D, B))) ) ) ) ) ) ) ) ) ).
fof(t58_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v19_bcialg_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k1_bcialg_1(A, k1_bcialg_1(A, B, E), k1_bcialg_1(A, D, C))=k1_bcialg_1(A, k1_bcialg_1(A, C, E), k1_bcialg_1(A, D, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v19_bcialg_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, k2_bcialg_1(A, C), k2_bcialg_1(A, B))=k1_bcialg_1(A, B, C)) ) ) ) ) ) ) ).
fof(t60_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v19_bcialg_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_bcialg_1(A, k2_bcialg_1(A, k1_bcialg_1(A, B, C)))=k1_bcialg_1(A, B, C)) ) ) ) ) ) ) ).
fof(t61_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v19_bcialg_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_bcialg_1(A, D, k1_bcialg_1(A, D, k1_bcialg_1(A, B, C)))=k1_bcialg_1(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t62_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v19_bcialg_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k2_bcialg_1(A, B)=k4_struct_0(A) => B=k4_struct_0(A)) ) ) ) ) ) ).
fof(t63_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v19_bcialg_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, B, k2_bcialg_1(A, C))=k1_bcialg_1(A, C, k2_bcialg_1(A, B))) ) ) ) ) ) ) ).
fof(t64_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v19_bcialg_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k1_bcialg_1(A, k1_bcialg_1(A, B, C), k1_bcialg_1(A, D, E))=k1_bcialg_1(A, k1_bcialg_1(A, B, D), k1_bcialg_1(A, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v19_bcialg_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_bcialg_1(A, k1_bcialg_1(A, B, C), k1_bcialg_1(A, D, C))=k1_bcialg_1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t66_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v19_bcialg_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_bcialg_1(A, B, k1_bcialg_1(A, C, D))=k1_bcialg_1(A, k1_bcialg_1(A, D, C), k2_bcialg_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(t67_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v19_bcialg_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k1_bcialg_1(A, C, B)=k1_bcialg_1(A, D, B) => C=D) ) ) ) ) ) ) ) ) ) ).
fof(t68_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v19_bcialg_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k1_bcialg_1(A, B, C)=k1_bcialg_1(A, B, D) => C=D) ) ) ) ) ) ) ) ) ) ).
fof(t69_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_bcialg_1(A))  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v19_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k1_bcialg_1(A, k1_bcialg_1(A, B, C), k1_bcialg_1(A, B, D))=k1_bcialg_1(A, D, C) & k1_bcialg_1(A, B, k4_struct_0(A))=B) ) ) ) ) ) ) ) ) ) ).
fof(t70_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_bcialg_1(A))  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v19_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  <=>  (v5_bcialg_1(A) &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k1_bcialg_1(A, B, k1_bcialg_1(A, C, D))=k1_bcialg_1(A, D, k1_bcialg_1(A, C, B)) & k1_bcialg_1(A, B, k4_struct_0(A))=B) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v14_bcialg_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_bcialg_1(A, k2_bcialg_1(A, B), B)) ) ) ) ) ).
fof(t72_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v14_bcialg_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_bcialg_1(A, k1_bcialg_1(A, B, C))=k2_bcialg_1(A, k1_bcialg_1(A, C, B))) ) ) ) ) ) ) ).
fof(t73_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v14_bcialg_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, k2_bcialg_1(A, B), C)=k2_bcialg_1(A, k1_bcialg_1(A, B, C))) ) ) ) ) ) ) ).
fof(t74_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v14_bcialg_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_tarski(k1_bcialg_1(A, k1_bcialg_1(A, B, C), k1_bcialg_1(A, C, B)), k4_bcialg_1(A))) ) ) ) ) ) ) ).
fof(t75_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v14_bcialg_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_bcialg_1(A, k1_bcialg_1(A, k1_bcialg_1(A, B, C), D), k1_bcialg_1(A, B, k1_bcialg_1(A, C, D)))) ) ) ) ) ) ) ) ) ).
fof(t76_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v20_bcialg_1(A) =>  (k2_bcialg_1(A, B)=B &  (k1_bcialg_1(A, B, k1_bcialg_1(A, B, C))=C & k1_bcialg_1(A, k1_bcialg_1(A, B, C), C)=B) ) ) ) ) ) ) ) ) ).
fof(t77_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (v20_bcialg_1(A) & k1_bcialg_1(A, B, C)=k1_bcialg_1(A, B, D))  => C=D) ) ) ) ) ) ) ) ) ).
fof(t78_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (v20_bcialg_1(A) & k1_bcialg_1(A, C, B)=k1_bcialg_1(A, D, B))  => C=D) ) ) ) ) ) ) ) ) ).
fof(t79_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v20_bcialg_1(A) & k1_bcialg_1(A, B, C)=k4_struct_0(A))  => B=C) ) ) ) ) ) ) ).
fof(t80_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (v20_bcialg_1(A) & k1_bcialg_1(A, k1_bcialg_1(A, B, C), D)=k4_struct_0(A))  =>  (C=k1_bcialg_1(A, B, D) & D=k1_bcialg_1(A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t81_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v20_bcialg_1(A) => k1_bcialg_1(A, k1_bcialg_1(A, B, k1_bcialg_1(A, B, C)), k1_bcialg_1(A, C, B))=B) ) ) ) ) ) ) ).
fof(t82_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v20_bcialg_1(A) => k1_bcialg_1(A, C, k1_bcialg_1(A, C, k1_bcialg_1(A, B, k1_bcialg_1(A, B, C))))=C) ) ) ) ) ) ) ).
fof(t83_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_bcialg_1(A))  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v17_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k1_bcialg_1(A, k1_bcialg_1(A, k1_bcialg_1(A, B, C), k1_bcialg_1(A, B, D)), k1_bcialg_1(A, D, C))=k4_struct_0(A) &  (k1_bcialg_1(A, B, k4_struct_0(A))=B & k1_bcialg_1(A, k1_bcialg_1(A, B, k1_bcialg_1(A, B, C)), k1_bcialg_1(A, C, B))=k1_bcialg_1(A, C, k1_bcialg_1(A, C, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t84_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v16_bcialg_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, B, C)=k1_bcialg_1(A, k1_bcialg_1(A, k1_bcialg_1(A, B, C), C), k2_bcialg_1(A, C))) ) ) ) ) ) ) ).
fof(t85_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v16_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, k1_bcialg_1(A, B, k1_bcialg_1(A, B, C)), k1_bcialg_1(A, C, B))=k1_bcialg_1(A, k1_bcialg_1(A, k1_bcialg_1(A, C, k1_bcialg_1(A, C, B)), k1_bcialg_1(A, C, B)), k1_bcialg_1(A, B, C))) ) ) ) ) ) ) ).
fof(t86_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_bcialg_1(A))  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v15_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k1_bcialg_1(A, k1_bcialg_1(A, k1_bcialg_1(A, B, C), k1_bcialg_1(A, B, D)), k1_bcialg_1(A, D, C))=k4_struct_0(A) &  (k1_bcialg_1(A, B, k4_struct_0(A))=B &  (k1_bcialg_1(A, B, C)=k1_bcialg_1(A, k1_bcialg_1(A, k1_bcialg_1(A, B, C), C), k2_bcialg_1(A, C)) & k1_bcialg_1(A, k1_bcialg_1(A, B, k1_bcialg_1(A, B, C)), k1_bcialg_1(A, C, B))=k1_bcialg_1(A, k1_bcialg_1(A, k1_bcialg_1(A, C, k1_bcialg_1(A, C, B)), k1_bcialg_1(A, C, B)), k1_bcialg_1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(abstractness_v1_bcialg_1, axiom,  (! [A] :  (l1_bcialg_1(A) =>  (v1_bcialg_1(A) => A=g1_bcialg_1(u1_struct_0(A), u1_bcialg_1(A))) ) ) ).
fof(dt_l1_bcialg_1, axiom,  (! [A] :  (l1_bcialg_1(A) => l1_struct_0(A)) ) ).
fof(existence_l1_bcialg_1, axiom,  (? [A] : l1_bcialg_1(A)) ).
fof(dt_g1_bcialg_1, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v1_bcialg_1(g1_bcialg_1(A, B)) & l1_bcialg_1(g1_bcialg_1(A, B))) ) ) ).
fof(free_g1_bcialg_1, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C, D] :  (g1_bcialg_1(A, B)=g1_bcialg_1(C, D) =>  (A=C & B=D) ) ) ) ) ).
fof(dt_u1_bcialg_1, axiom,  (! [A] :  (l1_bcialg_1(A) =>  (v1_funct_1(u1_bcialg_1(A)) &  (v1_funct_2(u1_bcialg_1(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(u1_bcialg_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(dt_k1_bcialg_1, axiom,  (! [A, B, C] :  ( (l1_bcialg_1(A) &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k1_bcialg_1(A, B, C), u1_struct_0(A))) ) ).
fof(abstractness_v2_bcialg_1, axiom,  (! [A] :  (l2_bcialg_1(A) =>  (v2_bcialg_1(A) => A=g2_bcialg_1(u1_struct_0(A), u1_bcialg_1(A), u2_struct_0(A))) ) ) ).
fof(dt_l2_bcialg_1, axiom,  (! [A] :  (l2_bcialg_1(A) =>  (l1_bcialg_1(A) & l2_struct_0(A)) ) ) ).
fof(existence_l2_bcialg_1, axiom,  (? [A] : l2_bcialg_1(A)) ).
fof(dt_g2_bcialg_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & m1_subset_1(C, A))  =>  (v2_bcialg_1(g2_bcialg_1(A, B, C)) & l2_bcialg_1(g2_bcialg_1(A, B, C))) ) ) ).
fof(free_g2_bcialg_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & m1_subset_1(C, A))  =>  (! [D, E, F] :  (g2_bcialg_1(A, B, C)=g2_bcialg_1(D, E, F) =>  (A=D &  (B=E & C=F) ) ) ) ) ) ).
fof(dt_k2_bcialg_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_bcialg_1(A))  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k2_bcialg_1(A, B), u1_struct_0(A))) ) ).
fof(dt_k3_bcialg_1, axiom, l2_bcialg_1(k3_bcialg_1)).
fof(dt_m1_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_bcialg_1(B, A) =>  ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) ) ) ) ) ) ).
fof(existence_m1_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (? [B] : m1_bcialg_1(B, A)) ) ) ).
fof(dt_k4_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  ( ~ (v1_xboole_0(k4_bcialg_1(A)))  & m1_subset_1(k4_bcialg_1(A), k1_zfmisc_1(u1_struct_0(A)))) ) ) ).
fof(dt_k5_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  ( ~ (v1_xboole_0(k5_bcialg_1(A)))  & m1_subset_1(k5_bcialg_1(A), k1_zfmisc_1(u1_struct_0(A)))) ) ) ).
fof(dt_k6_bcialg_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  &  (m1_subset_1(B, k5_bcialg_1(A)) & m1_subset_1(C, k5_bcialg_1(A))) )  => m2_subset_1(k6_bcialg_1(A, B, C), u1_struct_0(A), k5_bcialg_1(A))) ) ).
fof(redefinition_k6_bcialg_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  &  (m1_subset_1(B, k5_bcialg_1(A)) & m1_subset_1(C, k5_bcialg_1(A))) )  => k6_bcialg_1(A, B, C)=k1_bcialg_1(A, B, C)) ) ).
fof(dt_k7_bcialg_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  & m1_subset_1(B, k5_bcialg_1(A)))  =>  ( ~ (v1_xboole_0(k7_bcialg_1(A, B)))  & m1_subset_1(k7_bcialg_1(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ) ).
fof(dt_m2_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_bcialg_1(B, A) =>  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ).
fof(existence_m2_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (? [B] : m2_bcialg_1(B, A)) ) ) ).
fof(d12_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  => k4_bcialg_1(A)=a_1_0_bcialg_1(A)) ) ).
fof(d15_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  => k5_bcialg_1(A)=a_1_1_bcialg_1(A)) ) ).
fof(d17_bcialg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k5_bcialg_1(A)) => k7_bcialg_1(A, B)=a_2_0_bcialg_1(A, B)) ) ) ) ).
fof(fraenkel_a_1_0_bcialg_1, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  =>  (r2_hidden(A, a_1_0_bcialg_1(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(B)) &  (A=C & r1_bcialg_1(B, k4_struct_0(B), C)) ) ) ) ) ) ).
fof(fraenkel_a_1_1_bcialg_1, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  =>  (r2_hidden(A, a_1_1_bcialg_1(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(B)) &  (A=C & v10_bcialg_1(C, B)) ) ) ) ) ) ).
fof(fraenkel_a_2_0_bcialg_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  & m2_subset_1(C, u1_struct_0(B), k5_bcialg_1(B)))  =>  (r2_hidden(A, a_2_0_bcialg_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & r1_bcialg_1(B, C, D)) ) ) ) ) ) ).
fof(rc1_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) & v1_bcialg_2(B, A)) ) ) ) ).
fof(fc1_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v10_bcialg_1(k4_struct_0(A), A) & v1_bcialg_2(k4_struct_0(A), A)) ) ) ).
fof(fc2_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  => v5_bcialg_2(k4_struct_0(A), A)) ) ).
fof(cc1_bcialg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  & m2_bcialg_1(B, A))  =>  (! [C] :  (m4_bcialg_2(C, A, B) =>  (v1_partfun1(C, u1_struct_0(A)) &  (v3_relat_2(C) & v8_relat_2(C)) ) ) ) ) ) ).
fof(fc3_bcialg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  & m1_bcialg_2(B, A))  =>  ~ (v1_xboole_0(k7_eqrel_1(u1_struct_0(A), B))) ) ) ).
fof(fc4_bcialg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  & m1_bcialg_2(B, A))  =>  ~ (v2_struct_0(k9_bcialg_2(A, B))) ) ) ).
fof(fc5_bcialg_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  &  (m2_bcialg_1(B, A) & m4_bcialg_2(C, A, B)) )  =>  (v2_bcialg_1(k9_bcialg_2(A, C)) &  (v3_bcialg_1(k9_bcialg_2(A, C)) &  (v4_bcialg_1(k9_bcialg_2(A, C)) &  (v5_bcialg_1(k9_bcialg_2(A, C)) & v7_bcialg_1(k9_bcialg_2(A, C))) ) ) ) ) ) ).
fof(d1_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (E=k1_bcialg_2(A, B, C, D) <=>  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  &  (E=k8_nat_1(u1_struct_0(A), F, D) &  (k3_funct_2(k4_ordinal1, u1_struct_0(A), F, k5_numbers)=B &  (! [G] :  (v7_ordinal1(G) =>  ( ~ (r1_xxreal_0(D, G))  => k3_funct_2(k4_ordinal1, u1_struct_0(A), F, k1_nat_1(G, 1))=k1_bcialg_1(A, k8_nat_1(u1_struct_0(A), F, G), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_2(A, B, C, k5_numbers)=B) ) ) ) ) ) ).
fof(t2_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_2(A, B, C, 1)=k1_bcialg_1(A, B, C)) ) ) ) ) ) ).
fof(t3_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_2(A, B, C, 2)=k1_bcialg_1(A, k1_bcialg_1(A, B, C), C)) ) ) ) ) ) ).
fof(t4_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) => k1_bcialg_2(A, B, C, k1_nat_1(D, 1))=k1_bcialg_1(A, k1_bcialg_2(A, B, C, D), C)) ) ) ) ) ) ) ) ).
fof(t5_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) => k1_bcialg_2(A, B, k4_struct_0(A), k1_nat_1(C, 1))=B) ) ) ) ) ) ).
fof(t6_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) => k1_bcialg_2(A, k4_struct_0(A), k4_struct_0(A), B)=k4_struct_0(A)) ) ) ) ).
fof(t7_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v7_ordinal1(E) => k1_bcialg_1(A, k1_bcialg_2(A, B, C, E), D)=k1_bcialg_2(A, k1_bcialg_1(A, B, D), C, E)) ) ) ) ) ) ) ) ) ) ).
fof(t8_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) => k1_bcialg_2(A, B, k1_bcialg_1(A, B, k1_bcialg_1(A, B, C)), D)=k1_bcialg_2(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t9_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) => k2_bcialg_1(A, k1_bcialg_2(A, k4_struct_0(A), B, C))=k1_bcialg_2(A, k4_struct_0(A), k2_bcialg_1(A, B), C)) ) ) ) ) ) ).
fof(t10_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) => k1_bcialg_2(A, k1_bcialg_2(A, B, C, D), C, E)=k1_bcialg_2(A, B, C, k2_xcmplx_0(D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t11_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) => k1_bcialg_2(A, k1_bcialg_2(A, B, C, E), D, F)=k1_bcialg_2(A, k1_bcialg_2(A, B, D, F), C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) => k2_bcialg_1(A, k2_bcialg_1(A, k1_bcialg_2(A, k4_struct_0(A), B, C)))=k1_bcialg_2(A, k4_struct_0(A), B, C)) ) ) ) ) ) ).
fof(t13_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k1_bcialg_2(A, k4_struct_0(A), B, k2_xcmplx_0(C, D))=k1_bcialg_1(A, k1_bcialg_2(A, k4_struct_0(A), B, C), k2_bcialg_1(A, k1_bcialg_2(A, k4_struct_0(A), B, D)))) ) ) ) ) ) ) ) ).
fof(t14_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k2_bcialg_1(A, k1_bcialg_2(A, k4_struct_0(A), B, k2_xcmplx_0(D, C)))=k1_bcialg_1(A, k2_bcialg_1(A, k1_bcialg_2(A, k4_struct_0(A), B, D)), k1_bcialg_2(A, k4_struct_0(A), B, C))) ) ) ) ) ) ) ) ).
fof(t15_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k2_bcialg_1(A, k1_bcialg_2(A, k4_struct_0(A), k1_bcialg_2(A, k4_struct_0(A), B, D), C))=k1_bcialg_2(A, k4_struct_0(A), B, k3_xcmplx_0(D, C))) ) ) ) ) ) ) ) ).
fof(t16_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (k1_bcialg_2(A, k4_struct_0(A), B, D)=k4_struct_0(A) => k1_bcialg_2(A, k4_struct_0(A), B, k3_xcmplx_0(D, C))=k4_struct_0(A)) ) ) ) ) ) ) ) ) ).
fof(t17_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) =>  (k1_bcialg_1(A, B, C)=B => k1_bcialg_2(A, B, C, D)=B) ) ) ) ) ) ) ) ) ).
fof(t18_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) => k1_bcialg_2(A, k4_struct_0(A), k1_bcialg_1(A, B, C), D)=k1_bcialg_1(A, k1_bcialg_2(A, k4_struct_0(A), B, D), k1_bcialg_2(A, k4_struct_0(A), C, D))) ) ) ) ) ) ) ) ).
fof(t19_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v7_ordinal1(E) =>  (r1_bcialg_1(A, B, C) => r1_bcialg_1(A, k1_bcialg_2(A, B, D, E), k1_bcialg_2(A, C, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v7_ordinal1(E) =>  (r1_bcialg_1(A, B, C) => r1_bcialg_1(A, k1_bcialg_2(A, D, C, E), k1_bcialg_2(A, D, B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v7_ordinal1(E) => r1_bcialg_1(A, k1_bcialg_1(A, k1_bcialg_2(A, B, D, E), k1_bcialg_2(A, C, D, E)), k1_bcialg_1(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t22_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) => r1_bcialg_1(A, k1_bcialg_2(A, k1_bcialg_2(A, B, k1_bcialg_1(A, B, C), D), k1_bcialg_1(A, C, B), D), B)) ) ) ) ) ) ) ) ).
fof(d2_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v1_bcialg_2(B, A) <=> r1_bcialg_1(A, k4_struct_0(A), B)) ) ) ) ) ).
fof(d3_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v2_bcialg_2(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_bcialg_1(A, B, C)) ) ) ) ) ) ) ).
fof(d4_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v3_bcialg_2(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_bcialg_1(A, B, C) => C=B) ) ) ) ) ) ) ) ).
fof(d5_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v4_bcialg_2(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_bcialg_1(A, C, B)) ) ) ) ) ) ) ).
fof(t23_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v10_bcialg_1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, B, C)=k1_bcialg_1(A, k2_bcialg_1(A, C), k2_bcialg_1(A, B))) ) ) ) ) ) ) ).
fof(t24_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v10_bcialg_1(k2_bcialg_1(A, B), A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_bcialg_1(A, C, B) => k2_bcialg_1(A, B)=k2_bcialg_1(A, C)) ) ) ) ) ) ) ) ).
fof(t25_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v10_bcialg_1(k2_bcialg_1(A, B), A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_bcialg_1(A, k2_bcialg_1(A, k1_bcialg_1(A, k1_bcialg_1(A, B, D), k1_bcialg_1(A, C, D))))=k1_bcialg_1(A, k2_bcialg_1(A, C), k2_bcialg_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(t26_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v3_bcialg_2(k4_struct_0(A), A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v10_bcialg_1(B, A)) ) ) ) ) ).
fof(t27_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  ( (? [B] :  (m1_subset_1(B, u1_struct_0(A)) & v4_bcialg_2(B, A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v1_bcialg_2(B, A)) ) ) ) ) ).
fof(t28_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v1_bcialg_2(k1_bcialg_1(A, B, k2_bcialg_1(A, k2_bcialg_1(A, B))), A) & m1_subset_1(k1_bcialg_1(A, B, k2_bcialg_1(A, k2_bcialg_1(A, B))), u1_struct_0(A))) ) ) ) ) ).
fof(t29_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v10_bcialg_1(B, A) <=> k2_bcialg_1(A, k2_bcialg_1(A, B))=B) ) ) ) ) ).
fof(t30_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v10_bcialg_1(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & B=k2_bcialg_1(A, C)) ) ) ) ) ) ) ).
fof(d6_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v5_bcialg_2(B, A) <=>  (? [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  & k1_bcialg_2(A, k4_struct_0(A), B, C)=k4_struct_0(A)) ) ) ) ) ) ) ).
fof(d7_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v6_bcialg_2(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v5_bcialg_2(B, A)) ) ) ) ) ).
fof(d8_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v5_bcialg_2(B, A) =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (C=k2_bcialg_2(A, B) <=>  (k1_bcialg_2(A, k4_struct_0(A), B, C)=k4_struct_0(A) &  (! [D] :  (v7_ordinal1(D) =>  (k1_bcialg_2(A, k4_struct_0(A), B, D)=k4_struct_0(A) =>  (D=k5_numbers | r1_xxreal_0(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (v1_bcialg_2(B, A) & m1_subset_1(B, u1_struct_0(A)))  <=>  (v5_bcialg_2(B, A) & k2_bcialg_2(A, B)=1) ) ) ) ) ) ).
fof(t32_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k2_bcialg_2(A, B)=1 & v5_bcialg_2(B, A)) ) ) ) ) ) ).
fof(t33_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) => v10_bcialg_1(k1_bcialg_2(A, k4_struct_0(A), k2_bcialg_1(A, B), C), A)) ) ) ) ) ) ).
fof(t34_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v5_bcialg_2(B, A) => k2_bcialg_2(A, B)=k2_bcialg_2(A, k2_bcialg_1(A, B))) ) ) ) ) ).
fof(d9_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_partfun1(B, u1_struct_0(A)) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (m1_bcialg_2(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_hidden(k4_tarski(C, D), B) & r2_hidden(k4_tarski(E, F), B))  => r2_hidden(k4_tarski(k1_bcialg_1(A, C, E), k1_bcialg_1(A, D, F)), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_partfun1(B, u1_struct_0(A)) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (m2_bcialg_2(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_hidden(k4_tarski(C, D), B) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => r2_hidden(k4_tarski(k1_bcialg_1(A, E, C), k1_bcialg_1(A, E, D)), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_partfun1(B, u1_struct_0(A)) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (m3_bcialg_2(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_hidden(k4_tarski(C, D), B) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => r2_hidden(k4_tarski(k1_bcialg_1(A, C, E), k1_bcialg_1(A, D, E)), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_bcialg_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) =>  (m4_bcialg_2(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_hidden(k4_tarski(D, E), C) <=>  (r2_tarski(k1_bcialg_1(A, D, E), B) & r2_tarski(k1_bcialg_1(A, E, D), B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (B=k3_bcialg_2(A) <=>  (! [C] :  (r2_tarski(C, B) <=>  (? [D] :  (m2_bcialg_1(D, A) & m4_bcialg_2(C, A, D)) ) ) ) ) ) ) ) ).
fof(t35_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_bcialg_2(B, A) =>  (v12_bcialg_1(k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), B, k4_struct_0(A)), A) & m2_bcialg_1(k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), B, k4_struct_0(A)), A)) ) ) ) ) ).
fof(t36_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_partfun1(B, u1_struct_0(A)) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (m1_bcialg_2(B, A) <=>  (m3_bcialg_2(B, A) & m2_bcialg_2(B, A)) ) ) ) ) ) ).
fof(t37_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_bcialg_1(B, A) =>  (! [C] :  (m4_bcialg_2(C, A, B) => m1_bcialg_2(C, A)) ) ) ) ) ) ).
fof(t38_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_bcialg_1(B, A) =>  (! [C] :  (m4_bcialg_2(C, A, B) => r1_tarski(k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), C, k4_struct_0(A)), B)) ) ) ) ) ) ).
fof(t39_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_bcialg_1(B, A) =>  (! [C] :  (m4_bcialg_2(C, A, B) =>  (v12_bcialg_1(B, A) <=> B=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), C, k4_struct_0(A))) ) ) ) ) ) ) ).
fof(t40_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_bcialg_2(D, A) =>  (r2_hidden(k4_tarski(B, C), D) =>  (r2_tarski(k1_bcialg_1(A, B, C), k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), D, k4_struct_0(A))) & r2_tarski(k1_bcialg_1(A, C, B), k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), D, k4_struct_0(A)))) ) ) ) ) ) ) ) ) ) ).
fof(t41_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_bcialg_1(B, A) =>  (! [C] :  (m2_bcialg_1(C, A) =>  (! [D] :  (m5_bcialg_2(D, A, B) =>  (! [E] :  (m5_bcialg_2(E, A, C) =>  (k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), D, k4_struct_0(A))=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), E, k4_struct_0(A)) => D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (m1_bcialg_2(F, A) =>  ( (r2_hidden(k4_tarski(B, C), F) & r2_tarski(D, k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), F, k4_struct_0(A))))  => r2_hidden(k4_tarski(B, k1_bcialg_2(A, C, D, E)), F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  ( (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (? [E] :  (v7_ordinal1(E) &  (? [F] :  (v7_ordinal1(F) &  (? [G] :  (v7_ordinal1(G) &  (? [H] :  (v7_ordinal1(H) & k1_bcialg_2(B, k1_bcialg_2(B, C, k1_bcialg_1(B, C, D), E), k1_bcialg_1(B, D, C), F)=k1_bcialg_2(B, k1_bcialg_2(B, D, k1_bcialg_1(B, D, C), G), k1_bcialg_1(B, C, D), H)) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_bcialg_2(B, A) =>  (! [C] :  (m2_bcialg_1(C, A) =>  (C=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), B, k4_struct_0(A)) => m5_bcialg_2(B, A, C)) ) ) ) ) ) ) ) ).
fof(t44_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  => r1_tarski(k3_bcialg_2(A), k4_bcialg_2(A))) ) ).
fof(t45_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  => r1_tarski(k4_bcialg_2(A), k5_bcialg_2(A))) ) ).
fof(t46_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  => r1_tarski(k4_bcialg_2(A), k6_bcialg_2(A))) ) ).
fof(t47_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  => k4_bcialg_2(A)=k3_xboole_0(k5_bcialg_2(A), k6_bcialg_2(A))) ) ).
fof(t48_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_bcialg_1(B, A) =>  (! [C] :  (m4_bcialg_2(C, A, B) =>  (! [D] :  (m1_bcialg_2(D, A) =>  ( (! [E] :  (m2_bcialg_2(E, A) => m5_bcialg_2(E, A, B)) )  => D=C) ) ) ) ) ) ) ) ) ).
fof(t49_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_bcialg_1(B, A) =>  (! [C] :  (m4_bcialg_2(C, A, B) =>  (! [D] :  (m1_bcialg_2(D, A) =>  ( (! [E] :  (m3_bcialg_2(E, A) => m5_bcialg_2(E, A, B)) )  => D=C) ) ) ) ) ) ) ) ) ).
fof(t50_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_bcialg_2(B, A) =>  (v12_bcialg_1(k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), B, k4_struct_0(A)), A) & m2_bcialg_1(k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), B, k4_struct_0(A)), A)) ) ) ) ) ).
fof(d17_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_bcialg_2(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k8_eqrel_1(u1_struct_0(A), B), k8_eqrel_1(u1_struct_0(A), B)), k8_eqrel_1(u1_struct_0(A), B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(u1_struct_0(A), B), k8_eqrel_1(u1_struct_0(A), B)), k8_eqrel_1(u1_struct_0(A), B))))) )  =>  (C=k7_bcialg_2(A, B) <=>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(u1_struct_0(A)), k8_eqrel_1(u1_struct_0(A), B)) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(u1_struct_0(A)), k8_eqrel_1(u1_struct_0(A), B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (D=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), B, F) & E=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), B, G))  => k4_binop_1(k8_eqrel_1(u1_struct_0(A), B), C, D, E)=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), B, k1_bcialg_1(A, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_bcialg_2(B, A) => k8_bcialg_2(A, B)=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), B, k4_struct_0(A))) ) ) ) ).
fof(d19_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_bcialg_2(B, A) => k9_bcialg_2(A, B)=g2_bcialg_1(k8_eqrel_1(u1_struct_0(A), B), k7_bcialg_2(A, B), k8_bcialg_2(A, B))) ) ) ) ).
fof(d20_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_bcialg_2(B, A) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(u1_struct_0(A)), k8_eqrel_1(u1_struct_0(A), B)) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(u1_struct_0(A)), k8_eqrel_1(u1_struct_0(A), B)) => k10_bcialg_2(A, B, C, D)=k4_binop_1(k8_eqrel_1(u1_struct_0(A), B), k7_bcialg_2(A, B), C, D)) ) ) ) ) ) ) ) ).
fof(t51_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_bcialg_1(B, A) =>  (! [C] :  (m5_bcialg_2(C, A, B) =>  ( ~ (v2_struct_0(k9_bcialg_2(A, C)))  &  (v3_bcialg_1(k9_bcialg_2(A, C)) &  (v4_bcialg_1(k9_bcialg_2(A, C)) &  (v5_bcialg_1(k9_bcialg_2(A, C)) &  (v7_bcialg_1(k9_bcialg_2(A, C)) & l2_bcialg_1(k9_bcialg_2(A, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_bcialg_1(B, A) =>  (B=k4_bcialg_1(A) =>  (! [C] :  (m5_bcialg_2(C, A, B) =>  ( ~ (v2_struct_0(k9_bcialg_2(A, C)))  &  (v3_bcialg_1(k9_bcialg_2(A, C)) &  (v4_bcialg_1(k9_bcialg_2(A, C)) &  (v5_bcialg_1(k9_bcialg_2(A, C)) &  (v7_bcialg_1(k9_bcialg_2(A, C)) &  (v19_bcialg_1(k9_bcialg_2(A, C)) & l2_bcialg_1(k9_bcialg_2(A, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_bcialg_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) & v7_ordinal1(D)) ) )  => m1_subset_1(k1_bcialg_2(A, B, C, D), u1_struct_0(A))) ) ).
fof(dt_k2_bcialg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v7_ordinal1(k2_bcialg_2(A, B)) &  ~ (v8_ordinal1(k2_bcialg_2(A, B))) ) ) ) ).
fof(dt_m1_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_bcialg_2(B, A) =>  (v1_partfun1(B, u1_struct_0(A)) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ) ) ) ).
fof(existence_m1_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (? [B] : m1_bcialg_2(B, A)) ) ) ).
fof(dt_m2_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_bcialg_2(B, A) =>  (v1_partfun1(B, u1_struct_0(A)) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ) ) ) ).
fof(existence_m2_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (? [B] : m2_bcialg_2(B, A)) ) ) ).
fof(dt_m3_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m3_bcialg_2(B, A) =>  (v1_partfun1(B, u1_struct_0(A)) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ) ) ) ).
fof(existence_m3_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (? [B] : m3_bcialg_2(B, A)) ) ) ).
fof(dt_m4_bcialg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  & m2_bcialg_1(B, A))  =>  (! [C] :  (m4_bcialg_2(C, A, B) => m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ).
fof(existence_m4_bcialg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  & m2_bcialg_1(B, A))  =>  (? [C] : m4_bcialg_2(C, A, B)) ) ) ).
fof(dt_m5_bcialg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  & m2_bcialg_1(B, A))  =>  (! [C] :  (m5_bcialg_2(C, A, B) => m1_bcialg_2(C, A)) ) ) ) ).
fof(existence_m5_bcialg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  & m2_bcialg_1(B, A))  =>  (? [C] : m5_bcialg_2(C, A, B)) ) ) ).
fof(redefinition_m5_bcialg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  & m2_bcialg_1(B, A))  =>  (! [C] :  (m5_bcialg_2(C, A, B) <=> m4_bcialg_2(C, A, B)) ) ) ) ).
fof(dt_k7_bcialg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  & m1_bcialg_2(B, A))  =>  (v1_funct_1(k7_bcialg_2(A, B)) &  (v1_funct_2(k7_bcialg_2(A, B), k2_zfmisc_1(k8_eqrel_1(u1_struct_0(A), B), k8_eqrel_1(u1_struct_0(A), B)), k8_eqrel_1(u1_struct_0(A), B)) & m1_subset_1(k7_bcialg_2(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(u1_struct_0(A), B), k8_eqrel_1(u1_struct_0(A), B)), k8_eqrel_1(u1_struct_0(A), B))))) ) ) ) ).
fof(dt_k8_bcialg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  & m1_bcialg_2(B, A))  => m2_subset_1(k8_bcialg_2(A, B), k1_zfmisc_1(u1_struct_0(A)), k8_eqrel_1(u1_struct_0(A), B))) ) ).
fof(dt_k9_bcialg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  & m1_bcialg_2(B, A))  => l2_bcialg_1(k9_bcialg_2(A, B))) ) ).
fof(dt_k10_bcialg_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  &  (m1_bcialg_2(B, A) &  (m1_subset_1(C, k8_eqrel_1(u1_struct_0(A), B)) & m1_subset_1(D, k8_eqrel_1(u1_struct_0(A), B))) ) )  => m2_subset_1(k10_bcialg_2(A, B, C, D), k1_zfmisc_1(u1_struct_0(A)), k8_eqrel_1(u1_struct_0(A), B))) ) ).
fof(d14_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  => k4_bcialg_2(A)=a_1_0_bcialg_2(A)) ) ).
fof(d15_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  => k5_bcialg_2(A)=a_1_1_bcialg_2(A)) ) ).
fof(d16_bcialg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  => k6_bcialg_2(A)=a_1_2_bcialg_2(A)) ) ).
fof(fraenkel_a_1_0_bcialg_2, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  =>  (r2_hidden(A, a_1_0_bcialg_2(B)) <=>  (? [C] :  (m1_bcialg_2(C, B) & A=C) ) ) ) ) ).
fof(fraenkel_a_1_1_bcialg_2, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  =>  (r2_hidden(A, a_1_1_bcialg_2(B)) <=>  (? [C] :  (m2_bcialg_2(C, B) & A=C) ) ) ) ) ).
fof(fraenkel_a_1_2_bcialg_2, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  =>  (r2_hidden(A, a_1_2_bcialg_2(B)) <=>  (? [C] :  (m3_bcialg_2(C, B) & A=C) ) ) ) ) ).
fof(fc1_bcialg_3, axiom, v1_bcialg_3(k3_bcialg_1)).
fof(rc1_bcialg_3, axiom,  (? [A] :  (l2_bcialg_1(A) &  ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & v1_bcialg_3(A)) ) ) ) ) ) ) ) ).
fof(fc2_bcialg_3, axiom,  (v4_bcialg_3(k3_bcialg_1) & v5_bcialg_3(k3_bcialg_1)) ).
fof(rc2_bcialg_3, axiom,  (? [A] :  (l2_bcialg_1(A) &  ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v4_bcialg_3(A) & v5_bcialg_3(A)) ) ) ) ) ) ) ) ).
fof(fc3_bcialg_3, axiom, v6_bcialg_3(k3_bcialg_1)).
fof(rc3_bcialg_3, axiom,  (? [A] :  (l2_bcialg_1(A) &  ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v1_bcialg_3(A) & v6_bcialg_3(A)) ) ) ) ) ) ) ) ) ).
fof(fc4_bcialg_3, axiom, v9_bcialg_3(k3_bcialg_1)).
fof(fc5_bcialg_3, axiom,  (v10_bcialg_3(k3_bcialg_1) & v11_bcialg_3(k3_bcialg_1)) ).
fof(rc4_bcialg_3, axiom,  (? [A] :  (l2_bcialg_1(A) &  ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v1_bcialg_3(A) &  (v6_bcialg_3(A) &  (v9_bcialg_3(A) &  (v10_bcialg_3(A) & v11_bcialg_3(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_bcialg_1(A))  =>  (v1_bcialg_3(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, B, k1_bcialg_1(A, B, C))=k1_bcialg_1(A, C, k1_bcialg_1(A, C, B))) ) ) ) ) ) ) ).
fof(t1_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v1_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) )  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_bcialg_1(A, k1_bcialg_1(A, B, k1_bcialg_1(A, B, C)), k1_bcialg_1(A, C, k1_bcialg_1(A, C, B)))) ) ) ) ) ) ) ).
fof(t2_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_bcialg_1(A, k1_bcialg_1(A, B, k1_bcialg_1(A, B, C)), C) & r1_bcialg_1(A, k1_bcialg_1(A, B, k1_bcialg_1(A, B, C)), B)) ) ) ) ) ) ) ).
fof(t3_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v1_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) )  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, B, C)=k1_bcialg_1(A, B, k1_bcialg_1(A, C, k1_bcialg_1(A, C, B)))) ) ) ) ) ) ) ).
fof(t4_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v1_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) )  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, B, k1_bcialg_1(A, B, C))=k1_bcialg_1(A, C, k1_bcialg_1(A, C, k1_bcialg_1(A, B, k1_bcialg_1(A, B, C))))) ) ) ) ) ) ) ).
fof(t5_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v1_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) )  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_bcialg_1(A, B, C) => B=k1_bcialg_1(A, C, k1_bcialg_1(A, C, B))) ) ) ) ) ) ) ) ).
fof(t6_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_bcialg_1(A))  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v1_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) )  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k1_bcialg_1(A, B, k1_bcialg_1(A, k4_struct_0(A), C))=B & k1_bcialg_1(A, k1_bcialg_1(A, B, D), k1_bcialg_1(A, B, C))=k1_bcialg_1(A, k1_bcialg_1(A, C, D), k1_bcialg_1(A, C, B))) ) ) ) ) ) ) ) ) ) ).
fof(t7_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v1_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_bcialg_1(A, B, C)=B => k1_bcialg_1(A, C, B)=C) ) ) ) ) ) ) ) ).
fof(t8_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v1_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_bcialg_1(A, C, D) => k1_bcialg_1(A, k1_bcialg_1(A, D, B), k1_bcialg_1(A, D, C))=k1_bcialg_1(A, C, B)) ) ) ) ) ) ) ) ) ) ).
fof(t9_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v1_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_bcialg_1(A, B, C)=B <=> k1_bcialg_1(A, C, k1_bcialg_1(A, C, B))=k4_struct_0(A)) ) ) ) ) ) ) ) ).
fof(t10_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v1_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_bcialg_1(A, B, k1_bcialg_1(A, C, k1_bcialg_1(A, C, B)))=k1_bcialg_1(A, B, C) & k1_bcialg_1(A, k1_bcialg_1(A, B, C), k1_bcialg_1(A, k1_bcialg_1(A, B, C), B))=k1_bcialg_1(A, B, C)) ) ) ) ) ) ) ) ).
fof(t11_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v1_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_bcialg_1(A, B, D) => k1_bcialg_1(A, k1_bcialg_1(A, D, C), k1_bcialg_1(A, k1_bcialg_1(A, D, C), k1_bcialg_1(A, D, B)))=k1_bcialg_1(A, k1_bcialg_1(A, D, C), k1_bcialg_1(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(d2_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v2_bcialg_3(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, C, B)=k4_struct_0(A)) ) ) ) ) ) ) ).
fof(d3_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v3_bcialg_3(B, A) <=> k1_bcialg_1(A, k4_struct_0(A), B)=k4_struct_0(A)) ) ) ) ) ).
fof(d4_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v4_bcialg_3(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_bcialg_1(A, B, C)=k4_struct_0(A) => B=k1_bcialg_1(A, C, k1_bcialg_1(A, C, B))) ) ) ) ) ) ) ) ).
fof(d5_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v5_bcialg_3(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, k1_bcialg_1(A, B, k1_bcialg_1(A, B, C)), k1_bcialg_1(A, k4_struct_0(A), k1_bcialg_1(A, B, C)))=k1_bcialg_1(A, C, k1_bcialg_1(A, C, B))) ) ) ) ) ) ) ).
fof(t12_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  ( (? [B] :  (m1_subset_1(B, u1_struct_0(A)) & v2_bcialg_3(B, A)) )  =>  ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) ) ) ) ) ).
fof(t13_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v19_bcialg_1(A) =>  (v4_bcialg_3(A) & v5_bcialg_3(A)) ) ) ) ).
fof(t14_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v1_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v4_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) )  &  ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v5_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) ) ) ) ).
fof(t15_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v5_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) )  => v4_bcialg_3(A)) ) ) ).
fof(t16_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v4_bcialg_3(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, B, k1_bcialg_1(A, B, C))=k1_bcialg_1(A, C, k1_bcialg_1(A, C, k1_bcialg_1(A, B, k1_bcialg_1(A, B, C))))) ) ) ) ) ) ) ).
fof(t17_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v4_bcialg_3(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, k1_bcialg_1(A, B, k1_bcialg_1(A, B, C)), k1_bcialg_1(A, C, k1_bcialg_1(A, C, B)))=k1_bcialg_1(A, k4_struct_0(A), k1_bcialg_1(A, B, C))) ) ) ) ) ) ) ).
fof(t18_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v4_bcialg_3(A) <=>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k5_bcialg_1(A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), k7_bcialg_1(A, B)) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(A), k7_bcialg_1(A, B)) => k1_bcialg_1(A, C, k1_bcialg_1(A, C, D))=k1_bcialg_1(A, D, k1_bcialg_1(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t19_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_bcialg_1(A))  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v4_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) )  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k1_bcialg_1(A, k1_bcialg_1(A, k1_bcialg_1(A, B, C), k1_bcialg_1(A, B, D)), k1_bcialg_1(A, D, C))=k4_struct_0(A) &  (k1_bcialg_1(A, B, k4_struct_0(A))=B & k1_bcialg_1(A, B, k1_bcialg_1(A, B, C))=k1_bcialg_1(A, C, k1_bcialg_1(A, C, k1_bcialg_1(A, B, k1_bcialg_1(A, B, C))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v4_bcialg_3(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_bcialg_1(A, B, D) & r1_bcialg_1(A, k1_bcialg_1(A, D, C), k1_bcialg_1(A, D, B)))  => r1_bcialg_1(A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t21_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v4_bcialg_3(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_bcialg_1(A, B, C) & r1_bcialg_1(A, B, D))  => r1_bcialg_1(A, B, k1_bcialg_1(A, C, k1_bcialg_1(A, C, D)))) ) ) ) ) ) ) ) ) ) ).
fof(d6_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  (v6_bcialg_3(A) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) & v2_bcialg_3(B, A)) ) ) ) ) ).
fof(d7_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v6_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) )  =>  (v7_bcialg_3(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v2_bcialg_3(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, B, k1_bcialg_1(A, B, C))=C) ) ) ) ) ) ) ) ).
fof(t22_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v6_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) )  =>  (v7_bcialg_3(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v2_bcialg_3(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_bcialg_1(A, C, D)=k1_bcialg_1(A, k1_bcialg_1(A, B, D), k1_bcialg_1(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t23_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v6_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) )  =>  (v7_bcialg_3(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v2_bcialg_3(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_bcialg_1(A, C, k1_bcialg_1(A, B, D))=k1_bcialg_1(A, D, k1_bcialg_1(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t24_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v6_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) )  =>  (v7_bcialg_3(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v2_bcialg_3(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_bcialg_1(A, C, k1_bcialg_1(A, B, D)) => r1_bcialg_1(A, D, k1_bcialg_1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v8_bcialg_3(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_bcialg_1(A, C, B)=k4_struct_0(A) & k1_bcialg_1(A, B, C)=B) ) ) ) ) ) ) ) ).
fof(d9_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  (v9_bcialg_3(A) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) & v8_bcialg_3(B, A)) ) ) ) ) ).
fof(d10_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (m1_bcialg_3(B, A) <=>  (r2_hidden(k4_struct_0(A), B) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r2_hidden(k1_bcialg_1(A, k1_bcialg_1(A, C, D), E), B) & r2_hidden(E, B))  => r2_hidden(k1_bcialg_1(A, C, k1_bcialg_1(A, D, k1_bcialg_1(A, D, C))), B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (m1_bcialg_3(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_hidden(k1_bcialg_1(A, C, D), B) => r2_hidden(k1_bcialg_1(A, C, k1_bcialg_1(A, D, k1_bcialg_1(A, D, C))), B)) ) ) ) ) ) ) ) ) ) ).
fof(t26_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v3_bcialg_1(C) &  (v4_bcialg_1(C) &  (v5_bcialg_1(C) &  (v7_bcialg_1(C) &  (v8_bcialg_1(C) & l2_bcialg_1(C)) ) ) ) ) )  =>  (m1_bcialg_3(B, C) => m2_bcialg_1(B, C)) ) ) ) ) ) ) ).
fof(t27_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (m1_bcialg_3(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_hidden(k1_bcialg_1(A, C, k1_bcialg_1(A, C, D)), B) => r2_hidden(k1_bcialg_1(A, k1_bcialg_1(A, D, k1_bcialg_1(A, D, C)), k1_bcialg_1(A, C, D)), B)) ) ) ) ) ) ) ) ) ) ).
fof(d11_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  (v10_bcialg_3(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_bcialg_1(A, k1_bcialg_1(A, B, C), D)=k1_bcialg_1(A, k1_bcialg_1(A, B, D), k1_bcialg_1(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(d12_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  (v11_bcialg_3(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, B, k1_bcialg_1(A, C, B))=B) ) ) ) ) ) ) ).
fof(t28_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v10_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) )  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, B, C)=k1_bcialg_1(A, k1_bcialg_1(A, B, C), C)) ) ) ) ) ) ) ).
fof(t29_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v10_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) )  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, k1_bcialg_1(A, B, k1_bcialg_1(A, B, C)), k1_bcialg_1(A, C, B))=k1_bcialg_1(A, B, k1_bcialg_1(A, B, k1_bcialg_1(A, C, k1_bcialg_1(A, C, B))))) ) ) ) ) ) ) ).
fof(t30_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v10_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) )  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, B, C)=k1_bcialg_1(A, k1_bcialg_1(A, B, C), k1_bcialg_1(A, B, k1_bcialg_1(A, B, C)))) ) ) ) ) ) ) ).
fof(t31_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v10_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) )  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_bcialg_1(A, k1_bcialg_1(A, k1_bcialg_1(A, B, D), k1_bcialg_1(A, C, D)), k1_bcialg_1(A, k1_bcialg_1(A, B, C), D))) ) ) ) ) ) ) ) ) ).
fof(t32_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v10_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) )  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_bcialg_1(A, k1_bcialg_1(A, B, C), k1_bcialg_1(A, k1_bcialg_1(A, B, C), C))) ) ) ) ) ) ) ).
fof(t33_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v10_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) )  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_bcialg_1(A, k1_bcialg_1(A, B, k1_bcialg_1(A, B, k1_bcialg_1(A, C, k1_bcialg_1(A, C, B)))), k1_bcialg_1(A, k1_bcialg_1(A, B, k1_bcialg_1(A, B, C)), k1_bcialg_1(A, C, B)))) ) ) ) ) ) ) ).
fof(t34_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v11_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) )  <=>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v1_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) )  &  ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v10_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v11_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) )  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, k1_bcialg_1(A, B, k1_bcialg_1(A, B, C)), k1_bcialg_1(A, B, C))=k1_bcialg_1(A, C, k1_bcialg_1(A, C, B))) ) ) ) ) ) ) ).
fof(t36_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_bcialg_1(A))  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v11_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) )  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k1_bcialg_1(A, B, k1_bcialg_1(A, k4_struct_0(A), C))=B & k1_bcialg_1(A, k1_bcialg_1(A, B, D), k1_bcialg_1(A, B, C))=k1_bcialg_1(A, k1_bcialg_1(A, k1_bcialg_1(A, C, D), k1_bcialg_1(A, C, B)), k1_bcialg_1(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t37_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v6_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v2_bcialg_3(B, A) =>  (v11_bcialg_3(A) <=>  (v7_bcialg_3(A) & v10_bcialg_3(A)) ) ) ) ) ) ) ).
fof(t38_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v11_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) )  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, B, k1_bcialg_1(A, B, k1_bcialg_1(A, C, B)))=k4_struct_0(A)) ) ) ) ) ) ) ).
fof(t39_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v11_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) )  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, k1_bcialg_1(A, B, k1_bcialg_1(A, B, C)), k1_bcialg_1(A, B, C))=k1_bcialg_1(A, C, k1_bcialg_1(A, C, k1_bcialg_1(A, B, k1_bcialg_1(A, B, C))))) ) ) ) ) ) ) ).
fof(t40_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v11_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) )  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_bcialg_1(A, k1_bcialg_1(A, B, D), k1_bcialg_1(A, B, C))=k1_bcialg_1(A, k1_bcialg_1(A, C, D), k1_bcialg_1(A, k1_bcialg_1(A, C, B), D))) ) ) ) ) ) ) ) ) ).
fof(t41_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v11_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) )  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_bcialg_1(A, B, k1_bcialg_1(A, B, k1_bcialg_1(A, C, D)))=k1_bcialg_1(A, k1_bcialg_1(A, C, D), k1_bcialg_1(A, k1_bcialg_1(A, C, D), k1_bcialg_1(A, B, D)))) ) ) ) ) ) ) ) ) ).
fof(t42_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v11_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) )  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, B, k1_bcialg_1(A, B, C))=k1_bcialg_1(A, k1_bcialg_1(A, C, k1_bcialg_1(A, C, B)), k1_bcialg_1(A, B, C))) ) ) ) ) ) ) ).
fof(t43_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v1_bcialg_3(A) &  (v6_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v2_bcialg_3(B, A) =>  (v11_bcialg_3(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, k1_bcialg_1(A, B, C), k1_bcialg_1(A, k1_bcialg_1(A, B, C), C))=k4_struct_0(A)) ) ) ) ) ) ) ) ).
fof(t44_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v1_bcialg_3(A) &  (v6_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v2_bcialg_3(B, A) =>  (v11_bcialg_3(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, C, k1_bcialg_1(A, B, C))=C) ) ) ) ) ) ) ) ).
fof(t45_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v1_bcialg_3(A) &  (v6_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v2_bcialg_3(B, A) =>  (v11_bcialg_3(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, k1_bcialg_1(A, B, C), C)=k1_bcialg_1(A, B, C)) ) ) ) ) ) ) ) ).
fof(t46_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v1_bcialg_3(A) &  (v6_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v2_bcialg_3(B, A) =>  (v11_bcialg_3(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_bcialg_1(A, k1_bcialg_1(A, B, D), k1_bcialg_1(A, k1_bcialg_1(A, B, D), C))=k1_bcialg_1(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t47_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v1_bcialg_3(A) &  (v6_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v2_bcialg_3(B, A) =>  (v11_bcialg_3(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_bcialg_1(A, D, k1_bcialg_1(A, D, C))=k1_bcialg_1(A, C, k1_bcialg_1(A, B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t48_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v1_bcialg_3(A) &  (v6_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v2_bcialg_3(B, A) =>  (v11_bcialg_3(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => r1_bcialg_1(A, k1_bcialg_1(A, k1_bcialg_1(A, C, k1_bcialg_1(A, D, E)), k1_bcialg_1(A, C, D)), k1_bcialg_1(A, C, k1_bcialg_1(A, B, E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_m1_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  (! [B] :  (m1_bcialg_3(B, A) =>  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ).
fof(existence_m1_bcialg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  (? [B] : m1_bcialg_3(B, A)) ) ) ).
fof(rc1_bcialg_4, axiom,  (? [A] :  (l1_bcialg_4(A) & v1_bcialg_4(A)) ) ).
fof(rc2_bcialg_4, axiom,  (? [A] :  (l1_bcialg_4(A) &  ( ~ (v2_struct_0(A))  & v1_bcialg_4(A)) ) ) ).
fof(fc1_bcialg_4, axiom,  (v13_struct_0(k2_bcialg_4, 1) & v1_bcialg_4(k2_bcialg_4)) ).
fof(fc2_bcialg_4, axiom,  (v3_bcialg_1(k2_bcialg_4) &  (v4_bcialg_1(k2_bcialg_4) &  (v5_bcialg_1(k2_bcialg_4) &  (v7_bcialg_1(k2_bcialg_4) &  (v8_bcialg_1(k2_bcialg_4) & v2_bcialg_4(k2_bcialg_4)) ) ) ) ) ).
fof(rc3_bcialg_4, axiom,  (? [A] :  (l1_bcialg_4(A) &  ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v1_bcialg_4(A) & v2_bcialg_4(A)) ) ) ) ) ) ) ) ).
fof(fc3_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) )  =>  (v1_funct_1(u1_bcialg_4(A)) &  (v1_funct_2(u1_bcialg_4(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) &  (v1_binop_1(u1_bcialg_4(A), u1_struct_0(A)) & v2_binop_1(u1_bcialg_4(A), u1_struct_0(A))) ) ) ) ) ).
fof(rc4_bcialg_4, axiom,  (? [A] :  (l1_bcialg_4(A) &  ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v1_bcialg_4(A) & v2_bcialg_4(A)) ) ) ) ) ) ) ) ) ).
fof(rc5_bcialg_4, axiom,  (? [A] :  (l1_bcialg_4(A) &  ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v2_bcialg_4(A) & v3_bcialg_4(A)) ) ) ) ) ) ) ) ) ).
fof(rc6_bcialg_4, axiom,  (? [A] :  (l1_bcialg_4(A) &  ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v2_bcialg_4(A) & v4_bcialg_4(A)) ) ) ) ) ) ) ) ) ).
fof(fc4_bcialg_4, axiom,  (v5_bcialg_1(k2_bcialg_4) &  (v2_bcialg_4(k2_bcialg_4) &  (v5_bcialg_4(k2_bcialg_4) &  (v6_bcialg_4(k2_bcialg_4) & v7_bcialg_4(k2_bcialg_4)) ) ) ) ).
fof(rc7_bcialg_4, axiom,  (? [A] :  (l1_bcialg_4(A) &  ( ~ (v2_struct_0(A))  &  (v5_bcialg_1(A) &  (v1_bcialg_4(A) &  (v2_bcialg_4(A) &  (v5_bcialg_4(A) &  (v6_bcialg_4(A) & v7_bcialg_4(A)) ) ) ) ) ) ) ) ).
fof(rc8_bcialg_4, axiom,  (? [A] :  (l1_bcialg_4(A) &  ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v2_bcialg_4(A) & v8_bcialg_4(A)) ) ) ) ) ) ) ) ) ).
fof(d1_bcialg_4, axiom,  (! [A] :  (l1_bcialg_4(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_4(A, B, C)=k4_binop_1(u1_struct_0(A), u1_bcialg_4(A), B, C)) ) ) ) ) ) ).
fof(d2_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_bcialg_4(A))  =>  (v2_bcialg_4(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_bcialg_1(A, k1_bcialg_1(A, B, C), D)=k1_bcialg_1(A, B, k1_bcialg_4(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(d3_bcialg_4, axiom, k2_bcialg_4=g1_bcialg_4(k1_tarski(k5_numbers), k9_funct_5, k9_funct_5, k5_funct_5)).
fof(t1_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r2_tarski(D, k3_bcialg_4(A, B, C)) & r1_bcialg_1(A, E, D))  => r2_tarski(E, k3_bcialg_4(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m2_subset_1(D, u1_struct_0(A), k3_bcialg_4(A, B, C)) &  (! [E] :  (m2_subset_1(E, u1_struct_0(A), k3_bcialg_4(A, B, C)) => r1_bcialg_1(A, E, D)) ) ) ) ) ) ) ) ) ) ).
fof(t3_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_bcialg_4(A))  =>  ( ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_bcialg_1(A, k1_bcialg_1(A, k1_bcialg_4(A, B, C), B), C) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_bcialg_1(A, k1_bcialg_1(A, D, B), C) => r1_bcialg_1(A, D, k1_bcialg_4(A, B, C))) ) ) ) ) ) ) ) )  <=>  ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) ) ) ) ) ).
fof(d5_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v19_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_algstr_0(B) &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) ) )  =>  (B=k4_bcialg_4(A) <=>  (u1_struct_0(B)=u1_struct_0(A) &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_binop_1(u1_algstr_0(B), C, D)=k1_bcialg_1(A, C, k1_bcialg_1(A, k4_struct_0(A), D))) ) ) )  & k4_struct_0(B)=k4_struct_0(A)) ) ) ) ) ) ) ).
fof(t5_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v19_bcialg_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_bcialg_1(A, B, C)=k4_struct_0(A) => B=C) ) ) ) ) ) ) ) ).
fof(t6_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) )  =>  (v19_bcialg_1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_4(A, B, C)=k1_bcialg_1(A, B, k1_bcialg_1(A, k4_struct_0(A), C))) ) ) ) ) ) ) ).
fof(t7_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_4(A, B, C)=k1_bcialg_4(A, C, B)) ) ) ) ) ) ).
fof(t8_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_bcialg_1(A, B, C) =>  (r1_bcialg_1(A, k1_bcialg_4(A, B, D), k1_bcialg_4(A, C, D)) & r1_bcialg_1(A, k1_bcialg_4(A, D, B), k1_bcialg_4(A, D, C))) ) ) ) ) ) ) ) ) ) ).
fof(t9_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k1_bcialg_4(A, k4_struct_0(A), B)=B & k1_bcialg_4(A, B, k4_struct_0(A))=B) ) ) ) ) ).
fof(t10_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_bcialg_4(A, k1_bcialg_4(A, B, C), D)=k1_bcialg_4(A, B, k1_bcialg_4(A, C, D))) ) ) ) ) ) ) ) ).
fof(t11_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_bcialg_4(A, k1_bcialg_4(A, B, C), D)=k1_bcialg_4(A, k1_bcialg_4(A, B, D), C)) ) ) ) ) ) ) ) ).
fof(t12_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_bcialg_1(A, k1_bcialg_1(A, B, C), D)=k1_bcialg_1(A, B, k1_bcialg_4(A, C, D))) ) ) ) ) ) ) ) ).
fof(t13_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_bcialg_1(A, C, k1_bcialg_4(A, B, k1_bcialg_1(A, C, B)))) ) ) ) ) ) ).
fof(t14_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_bcialg_1(A, k1_bcialg_1(A, k1_bcialg_4(A, B, D), k1_bcialg_4(A, C, D)), k1_bcialg_1(A, B, C))) ) ) ) ) ) ) ) ).
fof(t15_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_bcialg_1(A, k1_bcialg_1(A, B, C), D) <=> r1_bcialg_1(A, B, k1_bcialg_4(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t16_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_bcialg_1(A, k1_bcialg_1(A, B, C), k1_bcialg_4(A, k1_bcialg_1(A, B, D), k1_bcialg_1(A, D, C)))) ) ) ) ) ) ) ) ).
fof(t17_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) )  => r3_binop_1(u1_struct_0(A), k4_struct_0(A), u1_bcialg_4(A))) ) ).
fof(t18_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) )  => k3_binop_1(u1_struct_0(A), u1_bcialg_4(A))=k4_struct_0(A)) ) ).
fof(t19_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) )  => v1_setwiseo(u1_bcialg_4(A), u1_struct_0(A))) ) ).
fof(d6_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), k4_ordinal1), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k4_ordinal1), u1_struct_0(A))))) )  =>  (B=k5_bcialg_4(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k9_nat_1(u1_struct_0(A), B, C, k5_numbers)=k4_struct_0(A) &  (! [D] :  (v7_ordinal1(D) => k9_nat_1(u1_struct_0(A), B, C, k1_nat_1(D, 1))=k1_bcialg_4(A, k9_nat_1(u1_struct_0(A), B, C, D), C)) ) ) ) ) ) ) ) ) ) ).
fof(d7_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) => k6_bcialg_4(A, B, C)=k9_nat_1(u1_struct_0(A), k5_bcialg_4(A), B, C)) ) ) ) ) ) ).
fof(t20_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_bcialg_4(A, B, k5_numbers)=k4_struct_0(A)) ) ) ) ).
fof(t21_bcialg_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) &  (v2_bcialg_4(B) & l1_bcialg_4(B)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k6_bcialg_4(B, C, k1_nat_1(A, 1))=k1_bcialg_4(B, k6_bcialg_4(B, C, A), C)) ) ) ) ) ) ).
fof(t22_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_bcialg_4(A, B, 1)=B) ) ) ) ).
fof(t23_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_bcialg_4(A, B, 2)=k1_bcialg_4(A, B, B)) ) ) ) ).
fof(t24_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_bcialg_4(A, B, 3)=k1_bcialg_4(A, k1_bcialg_4(A, B, B), B)) ) ) ) ).
fof(t25_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) )  => k6_bcialg_4(A, k4_struct_0(A), 2)=k4_struct_0(A)) ) ).
fof(t26_bcialg_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) &  (v2_bcialg_4(B) & l1_bcialg_4(B)) ) ) ) ) )  => k6_bcialg_4(B, k4_struct_0(B), A)=k4_struct_0(B)) ) ) ) ).
fof(t27_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, k1_bcialg_1(A, k1_bcialg_1(A, B, C), C), C)=k1_bcialg_1(A, B, k6_bcialg_4(A, C, 3))) ) ) ) ) ) ).
fof(t28_bcialg_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) &  (v2_bcialg_4(B) & l1_bcialg_4(B)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k1_bcialg_2(B, C, D, A)=k1_bcialg_1(B, C, k6_bcialg_4(B, D, A))) ) ) ) ) ) ) ) ).
fof(d8_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_bcialg_4(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) => k7_bcialg_4(A, B)=k1_finsop_1(u1_struct_0(A), B, u1_bcialg_4(A))) ) ) ) ).
fof(t29_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_bcialg_4(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_finsop_1(u1_struct_0(A), k12_finseq_1(u1_struct_0(A), B), u1_bcialg_4(A))=B) ) ) ) ).
fof(t30_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) => k7_bcialg_4(A, k8_finseq_1(u1_struct_0(A), B, C))=k1_bcialg_4(A, k7_bcialg_4(A, B), k7_bcialg_4(A, C))) ) ) ) ) ) ).
fof(t31_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k7_bcialg_4(A, k8_finseq_1(u1_struct_0(A), B, k12_finseq_1(u1_struct_0(A), C)))=k1_bcialg_4(A, k7_bcialg_4(A, B), C)) ) ) ) ) ) ).
fof(t32_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k7_bcialg_4(A, k8_finseq_1(u1_struct_0(A), k12_finseq_1(u1_struct_0(A), C), B))=k1_bcialg_4(A, C, k7_bcialg_4(A, B))) ) ) ) ) ) ).
fof(t33_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k7_bcialg_4(A, k2_finseq_4(u1_struct_0(A), B, C))=k1_bcialg_4(A, B, C)) ) ) ) ) ) ).
fof(t34_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k7_bcialg_4(A, k3_finseq_4(u1_struct_0(A), B, C, D))=k1_bcialg_4(A, k1_bcialg_4(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t35_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_bcialg_1(A, k1_bcialg_1(A, B, C), D)=k1_bcialg_1(A, B, k7_bcialg_4(A, k2_finseq_4(u1_struct_0(A), C, D)))) ) ) ) ) ) ) ) ).
fof(t36_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k1_bcialg_1(A, k1_bcialg_1(A, k1_bcialg_1(A, B, C), D), E)=k1_bcialg_1(A, B, k7_bcialg_4(A, k3_finseq_4(u1_struct_0(A), C, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t37_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k5_bcialg_1(A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), k5_bcialg_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( (! [E] :  (m2_subset_1(E, u1_struct_0(A), k7_bcialg_1(A, B)) => r1_bcialg_1(A, E, D)) )  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (! [F] :  (m2_subset_1(F, u1_struct_0(A), k7_bcialg_1(A, C)) => r1_bcialg_1(A, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_bcialg_1(A, B, k1_bcialg_4(A, B, C)) & r1_bcialg_1(A, C, k1_bcialg_4(A, B, C))) ) ) ) ) ) ) ).
fof(t39_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_bcialg_1(A, k1_bcialg_1(A, k1_bcialg_4(A, B, C), k1_bcialg_4(A, C, D)), k1_bcialg_4(A, D, B))=k4_struct_0(A)) ) ) ) ) ) ) ) ).
fof(t40_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_bcialg_1(A, k1_bcialg_4(A, k1_bcialg_1(A, B, C), k1_bcialg_1(A, C, B)), k1_bcialg_4(A, B, C))) ) ) ) ) ) ).
fof(t41_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_bcialg_4(A, k1_bcialg_1(A, B, k4_struct_0(A)), k1_bcialg_1(A, k4_struct_0(A), B))=B) ) ) ) ).
fof(d9_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) ) )  =>  (v3_bcialg_4(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, B, k1_bcialg_1(A, B, C))=k1_bcialg_1(A, C, k1_bcialg_1(A, C, B))) ) ) ) ) ) ) ).
fof(t42_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_bcialg_4(A))  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v2_bcialg_4(A) &  (v3_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) ) ) )  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k1_bcialg_1(A, B, k1_bcialg_1(A, k4_struct_0(A), C))=B &  (k1_bcialg_1(A, k1_bcialg_1(A, B, D), k1_bcialg_1(A, B, C))=k1_bcialg_1(A, k1_bcialg_1(A, C, D), k1_bcialg_1(A, C, B)) & k1_bcialg_1(A, k1_bcialg_1(A, B, C), D)=k1_bcialg_1(A, B, k1_bcialg_4(A, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v2_bcialg_4(A) &  (v3_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v4_bcialg_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_bcialg_4(A, C, D)=k1_bcialg_1(A, B, k1_bcialg_1(A, k1_bcialg_1(A, B, C), D))) ) ) ) ) ) ) ) ) ).
fof(t44_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v2_bcialg_4(A) &  (v3_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_tarski(k3_bcialg_4(A, B, C), k8_bcialg_4(A, D)) =>  (! [E] :  (m2_subset_1(E, u1_struct_0(A), k3_bcialg_4(A, B, C)) => r1_bcialg_1(A, E, k1_bcialg_1(A, D, k1_bcialg_1(A, k1_bcialg_1(A, D, B), C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) ) )  =>  (v4_bcialg_4(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, k1_bcialg_1(A, B, C), C)=k1_bcialg_1(A, B, C)) ) ) ) ) ) ) ).
fof(t45_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) ) )  =>  (v4_bcialg_4(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_bcialg_4(A, B, B)=B) ) ) ) ) ).
fof(t46_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) ) )  =>  (v4_bcialg_4(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_bcialg_1(A, B, C) => k1_bcialg_4(A, B, C)=C) ) ) ) ) ) ) ) ).
fof(t47_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) ) )  =>  (v4_bcialg_4(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_bcialg_1(A, k1_bcialg_4(A, B, C), D)=k1_bcialg_4(A, k1_bcialg_1(A, B, D), k1_bcialg_1(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t48_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) ) )  =>  (v4_bcialg_4(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_4(A, B, C)=k1_bcialg_4(A, B, k1_bcialg_1(A, C, B))) ) ) ) ) ) ) ).
fof(t49_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v2_bcialg_4(A) &  (v4_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => B=k1_bcialg_4(A, k1_bcialg_1(A, B, C), k1_bcialg_1(A, B, k1_bcialg_1(A, B, C)))) ) ) ) ) ) ).
fof(d12_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_bcialg_4(A))  =>  (v5_bcialg_4(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_bcialg_4(A, B, B)=B) ) ) ) ) ).
fof(d13_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_bcialg_4(A))  =>  (v6_bcialg_4(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_4(A, B, C)=k1_bcialg_4(A, C, B)) ) ) ) ) ) ) ).
fof(d14_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_bcialg_4(A))  =>  (v7_bcialg_4(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_4(A, k1_bcialg_1(A, B, C), C)=k1_bcialg_4(A, B, C)) ) ) ) ) ) ) ).
fof(t50_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_bcialg_4(A))  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v2_bcialg_4(A) &  (v4_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) ) ) )  <=>  ( ~ (v2_struct_0(A))  &  (v5_bcialg_1(A) &  (v2_bcialg_4(A) &  (v5_bcialg_4(A) &  (v6_bcialg_4(A) &  (v7_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) ) ) ) ) ).
fof(d15_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) ) )  =>  (v8_bcialg_4(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, B, k1_bcialg_1(A, C, B))=B) ) ) ) ) ) ) ).
fof(t51_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) ) )  =>  (v8_bcialg_4(A) <=>  (v3_bcialg_4(A) & v4_bcialg_4(A)) ) ) ) ).
fof(t52_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) ) )  =>  (v8_bcialg_4(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_bcialg_1(A, B, k1_bcialg_1(A, C, D))=k1_bcialg_4(A, k1_bcialg_1(A, k1_bcialg_1(A, B, C), D), k1_bcialg_1(A, D, k1_bcialg_1(A, D, B)))) ) ) ) ) ) ) ) ) ).
fof(abstractness_v1_bcialg_4, axiom,  (! [A] :  (l1_bcialg_4(A) =>  (v1_bcialg_4(A) => A=g1_bcialg_4(u1_struct_0(A), u1_bcialg_4(A), u1_bcialg_1(A), u2_struct_0(A))) ) ) ).
fof(dt_l1_bcialg_4, axiom,  (! [A] :  (l1_bcialg_4(A) =>  (l2_bcialg_1(A) & l2_struct_0(A)) ) ) ).
fof(existence_l1_bcialg_4, axiom,  (? [A] : l1_bcialg_4(A)) ).
fof(dt_g1_bcialg_4, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & m1_subset_1(D, A)) )  =>  (v1_bcialg_4(g1_bcialg_4(A, B, C, D)) & l1_bcialg_4(g1_bcialg_4(A, B, C, D))) ) ) ).
fof(free_g1_bcialg_4, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & m1_subset_1(D, A)) )  =>  (! [E, F, G, H] :  (g1_bcialg_4(A, B, C, D)=g1_bcialg_4(E, F, G, H) =>  (A=E &  (B=F &  (C=G & D=H) ) ) ) ) ) ) ).
fof(dt_u1_bcialg_4, axiom,  (! [A] :  (l1_bcialg_4(A) =>  (v1_funct_1(u1_bcialg_4(A)) &  (v1_funct_2(u1_bcialg_4(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(u1_bcialg_4(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(dt_k1_bcialg_4, axiom,  (! [A, B, C] :  ( (l1_bcialg_4(A) &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k1_bcialg_4(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k2_bcialg_4, axiom, l1_bcialg_4(k2_bcialg_4)).
fof(dt_k3_bcialg_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  ( ~ (v1_xboole_0(k3_bcialg_4(A, B, C)))  & m1_subset_1(k3_bcialg_4(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ) ).
fof(dt_k4_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v19_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  ( ~ (v2_struct_0(k4_bcialg_4(A)))  &  (v8_algstr_0(k4_bcialg_4(A)) &  (v13_algstr_0(k4_bcialg_4(A)) &  (v2_rlvect_1(k4_bcialg_4(A)) &  (v3_rlvect_1(k4_bcialg_4(A)) &  (v4_rlvect_1(k4_bcialg_4(A)) & l2_algstr_0(k4_bcialg_4(A))) ) ) ) ) ) ) ) ).
fof(dt_k5_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) )  =>  (v1_funct_1(k5_bcialg_4(A)) &  (v1_funct_2(k5_bcialg_4(A), k2_zfmisc_1(u1_struct_0(A), k4_ordinal1), u1_struct_0(A)) & m1_subset_1(k5_bcialg_4(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k4_ordinal1), u1_struct_0(A))))) ) ) ) ).
fof(dt_k6_bcialg_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & v7_ordinal1(C)) )  => m1_subset_1(k6_bcialg_4(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k7_bcialg_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_bcialg_4(A))  & m1_finseq_1(B, u1_struct_0(A)))  => m1_subset_1(k7_bcialg_4(A, B), u1_struct_0(A))) ) ).
fof(dt_k8_bcialg_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  ( ~ (v1_xboole_0(k8_bcialg_4(A, B)))  & m1_subset_1(k8_bcialg_4(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ) ).
fof(d4_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v2_bcialg_4(A) & l1_bcialg_4(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_bcialg_4(A, B, C)=a_3_0_bcialg_4(A, B, C)) ) ) ) ) ) ).
fof(d10_bcialg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k8_bcialg_4(A, B)=a_2_0_bcialg_4(A, B)) ) ) ) ).
fof(fraenkel_a_3_0_bcialg_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) &  (v2_bcialg_4(B) & l1_bcialg_4(B)) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_0_bcialg_4(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E & r1_bcialg_1(B, k1_bcialg_1(B, E, C), D)) ) ) ) ) ) ).
fof(fraenkel_a_2_0_bcialg_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_2_0_bcialg_4(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & r1_bcialg_1(B, D, C)) ) ) ) ) ) ).
fof(fc1_bcialg_5, axiom, v1_bcialg_5(k3_bcialg_1)).
fof(rc1_bcialg_5, axiom,  (? [A] :  (l2_bcialg_1(A) &  ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & v1_bcialg_5(A)) ) ) ) ) ) ) ).
fof(rc2_bcialg_5, axiom,  (? [A] :  (l2_bcialg_1(A) &  ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & v1_bcialg_5(A)) ) ) ) ) ) ) ) ).
fof(rc3_bcialg_5, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v7_ordinal1(C) & v7_ordinal1(D)) ) )  =>  (? [E] :  (m1_bcialg_5(E, A, B, C, D) &  ( ~ (v2_struct_0(E))  &  (v3_bcialg_1(E) &  (v4_bcialg_1(E) &  (v5_bcialg_1(E) &  (v7_bcialg_1(E) & v8_bcialg_1(E)) ) ) ) ) ) ) ) ) ).
fof(cc1_bcialg_5, axiom,  (! [A] :  (l2_bcialg_1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & v11_bcialg_3(A)) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & v1_bcialg_3(A)) ) ) ) ) ) ) ) ) ).
fof(cc2_bcialg_5, axiom,  (! [A] :  (l2_bcialg_1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & v11_bcialg_3(A)) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & v10_bcialg_3(A)) ) ) ) ) ) ) ) ) ).
fof(d1_bcialg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) => k1_bcialg_5(A, B, C, D, E)=k1_bcialg_2(A, k1_bcialg_2(A, B, k1_bcialg_1(A, B, C), k1_nat_1(D, 1)), k1_bcialg_1(A, C, B), E)) ) ) ) ) ) ) ) ) ) ).
fof(t1_bcialg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_bcialg_1(A, B, C) & r1_bcialg_1(A, C, D))  => r1_bcialg_1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t2_bcialg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (r1_bcialg_1(A, B, C) & r1_bcialg_1(A, C, B))  => B=C) ) ) ) ) ) ) ).
fof(t3_bcialg_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) &  (v8_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r1_bcialg_1(B, k1_bcialg_1(B, C, D), C) & r1_bcialg_1(B, k1_bcialg_2(B, C, D, k1_nat_1(A, 1)), k1_bcialg_2(B, C, D, A))) ) ) ) ) ) ) ) ) ).
fof(t4_bcialg_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) &  (v8_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k1_bcialg_2(B, k4_struct_0(B), C, A)=k4_struct_0(B)) ) ) ) ) ) ).
fof(t5_bcialg_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v3_bcialg_1(C) &  (v4_bcialg_1(C) &  (v5_bcialg_1(C) &  (v7_bcialg_1(C) &  (v8_bcialg_1(C) & l2_bcialg_1(C)) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (r1_xxreal_0(B, A) => r1_bcialg_1(C, k1_bcialg_2(C, D, E, A), k1_bcialg_2(C, D, E, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_bcialg_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v3_bcialg_1(C) &  (v4_bcialg_1(C) &  (v5_bcialg_1(C) &  (v7_bcialg_1(C) &  (v8_bcialg_1(C) & l2_bcialg_1(C)) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (k1_bcialg_2(C, D, E, B)=k1_bcialg_2(C, D, E, A) =>  (r1_xxreal_0(A, B) |  (! [F] :  (v7_ordinal1(F) =>  (r1_xxreal_0(B, F) => k1_bcialg_2(C, D, E, B)=k1_bcialg_2(C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_bcialg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_5(A, B, C, k5_numbers, k5_numbers)=k1_bcialg_1(A, B, k1_bcialg_1(A, B, C))) ) ) ) ) ) ).
fof(t8_bcialg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) => k1_bcialg_5(A, B, C, D, E)=k1_bcialg_2(A, k1_bcialg_2(A, k1_bcialg_5(A, B, C, k5_numbers, k5_numbers), k1_bcialg_1(A, B, C), D), k1_bcialg_1(A, C, B), E)) ) ) ) ) ) ) ) ) ) ).
fof(t9_bcialg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) => k1_bcialg_5(A, B, C, k1_nat_1(D, 1), E)=k1_bcialg_1(A, k1_bcialg_5(A, B, C, D, E), k1_bcialg_1(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t10_bcialg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) => k1_bcialg_5(A, B, C, D, k1_nat_1(E, 1))=k1_bcialg_1(A, k1_bcialg_5(A, B, C, D, E), k1_bcialg_1(A, C, B))) ) ) ) ) ) ) ) ) ) ).
fof(t11_bcialg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) => r1_bcialg_1(A, k1_bcialg_5(A, C, B, k1_nat_1(D, 1), k1_nat_1(D, 1)), k1_bcialg_5(A, B, C, D, k1_nat_1(D, 1)))) ) ) ) ) ) ) ) ).
fof(t12_bcialg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) => r1_bcialg_1(A, k1_bcialg_5(A, B, C, D, k1_nat_1(D, 1)), k1_bcialg_5(A, C, B, D, D))) ) ) ) ) ) ) ) ).
fof(d2_bcialg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (v1_bcialg_5(A) <=>  (? [B] :  (m1_subset_1(B, k4_ordinal1) &  (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (? [D] :  (m1_subset_1(D, k4_ordinal1) &  (? [E] :  (m1_subset_1(E, k4_ordinal1) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) => k1_bcialg_5(A, F, G, B, C)=k1_bcialg_5(A, G, F, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_bcialg_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v3_bcialg_1(E) &  (v4_bcialg_1(E) &  (v5_bcialg_1(E) &  (v7_bcialg_1(E) & l2_bcialg_1(E)) ) ) ) )  =>  (m1_bcialg_5(E, A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(E)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(E)) => k1_bcialg_5(E, F, G, A, B)=k1_bcialg_5(E, G, F, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_bcialg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (m1_bcialg_5(A, B, C, D, E) <=> m1_bcialg_5(A, D, E, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_bcialg_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_bcialg_5(E, A, B, C, D) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) => m1_bcialg_5(E, k1_nat_1(A, F), B, C, k1_nat_1(D, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_bcialg_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_bcialg_5(E, A, B, C, D) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) => m1_bcialg_5(E, A, k1_nat_1(B, F), k1_nat_1(C, F), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_bcialg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (v8_bcialg_1(A) & m1_bcialg_5(A, B, C, D, E))  <=>  (v8_bcialg_1(A) & m1_bcialg_5(A, D, E, B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_bcialg_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v8_bcialg_1(E) & m1_bcialg_5(E, A, B, C, D))  =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (v8_bcialg_1(E) & m1_bcialg_5(E, k1_nat_1(A, F), B, C, k1_nat_1(D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_bcialg_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v8_bcialg_1(E) & m1_bcialg_5(E, A, B, C, D))  =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (v8_bcialg_1(E) & m1_bcialg_5(E, A, k1_nat_1(B, F), k1_nat_1(C, F), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_bcialg_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v8_bcialg_1(E) & m1_bcialg_5(E, A, B, C, D))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(E)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(E)) => k1_bcialg_2(E, F, G, k1_nat_1(A, 1))=k1_bcialg_2(E, F, G, k1_nat_1(D, 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_bcialg_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v8_bcialg_1(E) & m1_bcialg_5(E, A, B, C, D))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(E)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(E)) => k1_bcialg_2(E, F, G, k1_nat_1(B, 1))=k1_bcialg_2(E, F, G, k1_nat_1(C, 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_bcialg_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v8_bcialg_1(E) & m1_bcialg_5(E, A, B, C, D))  =>  (v8_bcialg_1(E) & m1_bcialg_5(E, A, B, B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_bcialg_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v8_bcialg_1(E) & m1_bcialg_5(E, A, B, C, D))  =>  (v8_bcialg_1(E) & m1_bcialg_5(E, D, B, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_bcialg_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k2_bcialg_5(A, B, C, D)=k3_xxreal_0(k3_xxreal_0(A, B), k3_xxreal_0(C, D))) ) ) ) ) ) ) ) ).
fof(d5_bcialg_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k3_bcialg_5(A, B, C, D)=k4_xxreal_0(k4_xxreal_0(A, B), k4_xxreal_0(C, D))) ) ) ) ) ) ) ) ).
fof(t23_bcialg_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( ( ~ (k2_bcialg_5(A, B, C, D)=A)  &  ( ~ (k2_bcialg_5(A, B, C, D)=B)  &  ( ~ (k2_bcialg_5(A, B, C, D)=C)  &  ~ (k2_bcialg_5(A, B, C, D)=D) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_bcialg_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( ( ~ (k3_bcialg_5(A, B, C, D)=A)  &  ( ~ (k3_bcialg_5(A, B, C, D)=B)  &  ( ~ (k3_bcialg_5(A, B, C, D)=C)  &  ~ (k3_bcialg_5(A, B, C, D)=D) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_bcialg_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (A=k2_bcialg_5(A, B, C, D) =>  (r1_xxreal_0(A, B) &  (r1_xxreal_0(A, C) & r1_xxreal_0(A, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_bcialg_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(A, k3_bcialg_5(A, B, C, D)) &  (r1_xxreal_0(B, k3_bcialg_5(A, B, C, D)) &  (r1_xxreal_0(C, k3_bcialg_5(A, B, C, D)) & r1_xxreal_0(D, k3_bcialg_5(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_bcialg_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v8_bcialg_1(E) & m1_bcialg_5(E, A, B, C, D))  =>  ( (A=k2_bcialg_5(A, B, C, D) & A=B)  =>  (v8_bcialg_1(E) & m1_bcialg_5(E, A, A, A, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_bcialg_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v8_bcialg_1(E) & m1_bcialg_5(E, A, B, C, D))  =>  (A=k2_bcialg_5(A, B, C, D) =>  (r1_xxreal_0(B, A) |  (r1_xxreal_0(D, A) |  (v8_bcialg_1(E) & m1_bcialg_5(E, A, k1_nat_1(A, 1), A, k1_nat_1(A, 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_bcialg_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v8_bcialg_1(E) & m1_bcialg_5(E, A, B, C, D))  =>  ( (A=k2_bcialg_5(A, B, C, D) &  (A=D & A=C) )  =>  (v8_bcialg_1(E) & m1_bcialg_5(E, A, A, A, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_bcialg_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v8_bcialg_1(E) & m1_bcialg_5(E, A, B, C, D))  =>  (A=D =>  (r1_xxreal_0(B, C) |  (v8_bcialg_1(E) & m1_bcialg_5(E, A, k1_nat_1(C, 1), C, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_bcialg_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v8_bcialg_1(E) & m1_bcialg_5(E, A, B, C, D))  =>  (A=D =>  (v8_bcialg_1(E) & m1_bcialg_5(E, A, B, B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_bcialg_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  ( (v8_bcialg_1(G) & m1_bcialg_5(G, A, B, E, F))  =>  ( (r1_xxreal_0(B, D) & r1_xxreal_0(F, C))  =>  (v8_bcialg_1(G) & m1_bcialg_5(G, C, D, D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_bcialg_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( (v8_bcialg_1(F) & m1_bcialg_5(F, A, B, D, E))  =>  (r1_xxreal_0(k3_bcialg_5(A, B, D, E), C) =>  (v8_bcialg_1(F) & m1_bcialg_5(F, C, C, C, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_bcialg_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v8_bcialg_1(E) & m1_bcialg_5(E, A, B, C, D))  =>  ( (r1_xxreal_0(A, C) & r1_xxreal_0(B, D))  =>  (v8_bcialg_1(E) & m1_bcialg_5(E, A, B, A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_bcialg_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v8_bcialg_1(E) & m1_bcialg_5(E, A, B, C, D))  =>  (r1_xxreal_0(A, C) =>  (r1_xxreal_0(D, A) |  (v8_bcialg_1(E) & m1_bcialg_5(E, A, B, A, k1_nat_1(A, 1))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_bcialg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (m1_bcialg_5(A, B, C, k2_xcmplx_0(C, D), k2_xcmplx_0(B, D)) =>  ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_bcialg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (m1_bcialg_5(A, k5_numbers, k5_numbers, k5_numbers, k5_numbers) <=>  (v8_bcialg_1(A) & m1_bcialg_5(A, k5_numbers, k5_numbers, k5_numbers, k5_numbers)) ) ) ) ).
fof(t38_bcialg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v1_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) )  <=> m1_bcialg_5(A, k5_numbers, k5_numbers, k5_numbers, k5_numbers)) ) ) ).
fof(t39_bcialg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v3_bcialg_1(D) &  (v4_bcialg_1(D) &  (v5_bcialg_1(D) &  (v7_bcialg_1(D) & l2_bcialg_1(D)) ) ) ) )  =>  ( (B=k4_bcialg_1(D) & C=k5_bcialg_1(D))  => k9_subset_1(u1_struct_0(A), B, C)=k1_tarski(k4_struct_0(D))) ) ) ) ) ) ) ) ) ).
fof(t40_bcialg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v3_bcialg_1(C) &  (v4_bcialg_1(C) &  (v5_bcialg_1(C) &  (v7_bcialg_1(C) & l2_bcialg_1(C)) ) ) ) )  =>  (B=k5_bcialg_1(C) =>  ( ( ~ (v2_struct_0(C))  &  (v3_bcialg_1(C) &  (v4_bcialg_1(C) &  (v5_bcialg_1(C) &  (v7_bcialg_1(C) &  (v8_bcialg_1(C) & l2_bcialg_1(C)) ) ) ) ) )  <=> B=k1_tarski(k4_struct_0(C))) ) ) ) ) ) ) ) ).
fof(t41_bcialg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v3_bcialg_1(C) &  (v4_bcialg_1(C) &  (v5_bcialg_1(C) &  (v7_bcialg_1(C) & l2_bcialg_1(C)) ) ) ) )  =>  (B=k4_bcialg_1(C) =>  ( ( ~ (v2_struct_0(C))  &  (v3_bcialg_1(C) &  (v4_bcialg_1(C) &  (v5_bcialg_1(C) &  (v7_bcialg_1(C) &  (v19_bcialg_1(C) & l2_bcialg_1(C)) ) ) ) ) )  <=> B=k1_tarski(k4_struct_0(C))) ) ) ) ) ) ) ) ).
fof(t42_bcialg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v19_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  => m1_bcialg_5(A, k5_numbers, 1, k5_numbers, k5_numbers)) ) ) ).
fof(t43_bcialg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v19_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  => m1_bcialg_5(A, k2_xcmplx_0(D, B), D, C, k1_nat_1(k2_xcmplx_0(C, B), 1))) ) ) ) ) ) ) ) ) ).
fof(t44_bcialg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v13_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  (m1_bcialg_5(A, k5_numbers, 1, k5_numbers, k5_numbers) & m1_bcialg_5(A, 1, k5_numbers, k5_numbers, k5_numbers)) ) ) ) ).
fof(t45_bcialg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v16_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  => m1_bcialg_5(A, k5_numbers, 1, 1, 1)) ) ) ).
fof(t46_bcialg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v15_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  => m1_bcialg_5(A, k5_numbers, 1, 1, 1)) ) ) ).
fof(t47_bcialg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v17_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  => m1_bcialg_5(A, k5_numbers, 1, k5_numbers, k5_numbers)) ) ) ).
fof(t48_bcialg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v20_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  => m1_bcialg_5(A, k5_numbers, 1, k5_numbers, k5_numbers)) ) ) ).
fof(t49_bcialg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v10_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) )  <=>  (v8_bcialg_1(A) & m1_bcialg_5(A, k5_numbers, 1, k5_numbers, 1)) ) ) ) ).
fof(t50_bcialg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v11_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) )  <=>  (v8_bcialg_1(A) & m1_bcialg_5(A, 1, k5_numbers, k5_numbers, k5_numbers)) ) ) ) ).
fof(t51_bcialg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  ( (v8_bcialg_1(A) & m1_bcialg_5(A, 1, k5_numbers, k5_numbers, k5_numbers))  <=>  ( (v8_bcialg_1(A) & m1_bcialg_5(A, k5_numbers, k5_numbers, k5_numbers, k5_numbers))  &  (v8_bcialg_1(A) & m1_bcialg_5(A, k5_numbers, 1, k5_numbers, 1)) ) ) ) ) ).
fof(t52_bcialg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v1_bcialg_5(A) & l2_bcialg_1(A)) ) ) ) ) ) )  =>  ( (v8_bcialg_1(A) & m1_bcialg_5(A, k5_numbers, 1, k5_numbers, 1))  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, B, C)=k1_bcialg_1(A, k1_bcialg_1(A, B, C), C)) ) ) ) ) ) ) ).
fof(t53_bcialg_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) &  (v8_bcialg_1(B) &  (v1_bcialg_5(B) & l2_bcialg_1(B)) ) ) ) ) ) )  =>  ( (v8_bcialg_1(B) & m1_bcialg_5(B, A, k1_nat_1(A, 1), A, k1_nat_1(A, 1)))  <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k1_bcialg_2(B, C, D, k1_nat_1(A, 1))=k1_bcialg_2(B, C, D, k1_nat_1(A, 2))) ) ) ) ) ) ) ) ) ).
fof(t54_bcialg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (m1_bcialg_5(A, k5_numbers, 1, k5_numbers, k5_numbers) =>  ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v4_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) ) ) ) ).
fof(t55_bcialg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (m1_bcialg_5(A, C, k5_numbers, B, B) =>  ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v4_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_bcialg_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v8_bcialg_1(E) & m1_bcialg_5(E, A, B, C, D))  =>  (B=k5_numbers =>  (r1_xxreal_0(C, k5_numbers) |  (v8_bcialg_1(E) & m1_bcialg_5(E, k5_numbers, k5_numbers, k5_numbers, k5_numbers)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_bcialg_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v8_bcialg_1(E) & m1_bcialg_5(E, A, B, C, D))  =>  (C=k5_numbers =>  (r1_xxreal_0(B, k5_numbers) |  (v8_bcialg_1(E) & m1_bcialg_5(E, k5_numbers, 1, k5_numbers, 1)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_bcialg_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v8_bcialg_1(E) & m1_bcialg_5(E, A, B, C, D))  =>  (D=k5_numbers =>  (A=k5_numbers |  (v8_bcialg_1(E) & m1_bcialg_5(E, k5_numbers, k5_numbers, k5_numbers, k5_numbers)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_bcialg_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v8_bcialg_1(E) & m1_bcialg_5(E, A, B, C, D))  =>  (A=k5_numbers =>  (D=k5_numbers |  (v8_bcialg_1(E) & m1_bcialg_5(E, k5_numbers, 1, k5_numbers, 1)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_bcialg_5, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) &  (v7_ordinal1(D) & v7_ordinal1(E)) ) ) )  => m1_subset_1(k1_bcialg_5(A, B, C, D, E), u1_struct_0(A))) ) ).
fof(dt_m1_bcialg_5, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v7_ordinal1(C) & v7_ordinal1(D)) ) )  =>  (! [E] :  (m1_bcialg_5(E, A, B, C, D) =>  ( ~ (v2_struct_0(E))  &  (v3_bcialg_1(E) &  (v4_bcialg_1(E) &  (v5_bcialg_1(E) &  (v7_bcialg_1(E) & l2_bcialg_1(E)) ) ) ) ) ) ) ) ) ).
fof(existence_m1_bcialg_5, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v7_ordinal1(C) & v7_ordinal1(D)) ) )  =>  (? [E] : m1_bcialg_5(E, A, B, C, D)) ) ) ).
fof(dt_k2_bcialg_5, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v7_ordinal1(C) & v7_ordinal1(D)) ) )  => v1_xxreal_0(k2_bcialg_5(A, B, C, D))) ) ).
fof(dt_k3_bcialg_5, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v7_ordinal1(C) & v7_ordinal1(D)) ) )  => v1_xxreal_0(k3_bcialg_5(A, B, C, D))) ) ).
fof(rc1_bcialg_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v1_partfun1(C, u1_struct_0(A)) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v2_bcialg_6(C, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_bcialg_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v2_bcialg_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  ~ (v1_xboole_0(k4_bcialg_6(A, B, C))) ) ) ).
fof(fc2_bcialg_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v2_bcialg_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  => v12_bcialg_1(k4_bcialg_6(A, B, C), A)) ) ).
fof(fc3_bcialg_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  &  (m2_bcialg_1(B, A) & m4_bcialg_2(C, A, B)) )  =>  (v2_bcialg_1(k9_bcialg_2(A, C)) &  (v3_bcialg_1(k9_bcialg_2(A, C)) &  (v4_bcialg_1(k9_bcialg_2(A, C)) &  (v5_bcialg_1(k9_bcialg_2(A, C)) & v7_bcialg_1(k9_bcialg_2(A, C))) ) ) ) ) ) ).
fof(fc4_bcialg_6, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  &  (m1_bcialg_1(B, A) &  ( (v12_bcialg_1(C, A) & m2_bcialg_1(C, A))  & m4_bcialg_2(D, A, C)) ) )  =>  ~ (v2_struct_0(k9_bcialg_6(A, B, C, D))) ) ) ).
fof(fc5_bcialg_6, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  &  (m1_bcialg_1(B, A) &  ( (v12_bcialg_1(C, A) & m2_bcialg_1(C, A))  & m4_bcialg_2(D, A, C)) ) )  =>  (v2_bcialg_1(k9_bcialg_6(A, B, C, D)) &  (v3_bcialg_1(k9_bcialg_6(A, B, C, D)) &  (v4_bcialg_1(k9_bcialg_6(A, B, C, D)) &  (v5_bcialg_1(k9_bcialg_6(A, B, C, D)) & v7_bcialg_1(k9_bcialg_6(A, B, C, D))) ) ) ) ) ) ).
fof(d1_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_bcialg_1(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), k4_ordinal1), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k4_ordinal1), u1_struct_0(A))))) )  =>  (B=k1_bcialg_6(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k9_nat_1(u1_struct_0(A), B, C, k5_numbers)=k4_struct_0(A) &  (! [D] :  (v7_ordinal1(D) => k9_nat_1(u1_struct_0(A), B, C, k1_nat_1(D, 1))=k1_bcialg_1(A, C, k2_bcialg_1(A, k9_nat_1(u1_struct_0(A), B, C, D)))) ) ) ) ) ) ) ) ) ) ).
fof(d2_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_int_1(C) =>  ( (r1_xxreal_0(k5_numbers, C) => k2_bcialg_6(A, B, C)=k9_nat_1(u1_struct_0(A), k1_bcialg_6(A), B, k1_int_2(C)))  &  ( ~ (r1_xxreal_0(k5_numbers, C))  => k2_bcialg_6(A, B, C)=k9_nat_1(u1_struct_0(A), k1_bcialg_6(A), k2_bcialg_1(A, B), k1_int_2(C))) ) ) ) ) ) ) ) ).
fof(d3_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) => k2_bcialg_6(A, B, C)=k1_binop_1(k1_bcialg_6(A), B, C)) ) ) ) ) ) ).
fof(t1_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), k5_bcialg_1(A)) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(A), k5_bcialg_1(A)) => k1_bcialg_1(A, C, k1_bcialg_1(A, B, D))=k1_bcialg_1(A, D, k1_bcialg_1(A, B, C))) ) ) ) ) ) ) ) ).
fof(t2_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) => k2_bcialg_6(A, B, k1_nat_1(C, 1))=k1_bcialg_1(A, B, k2_bcialg_1(A, k2_bcialg_6(A, B, C)))) ) ) ) ) ) ).
fof(t3_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_bcialg_6(A, B, k5_numbers)=k4_struct_0(A)) ) ) ) ).
fof(t4_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_bcialg_6(A, B, 1)=B) ) ) ) ).
fof(t5_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_bcialg_6(A, B, k4_xcmplx_0(1))=k2_bcialg_1(A, B)) ) ) ) ).
fof(t6_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_bcialg_6(A, B, 2)=k1_bcialg_1(A, B, k2_bcialg_1(A, B))) ) ) ) ).
fof(t7_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) => k2_bcialg_6(A, k4_struct_0(A), B)=k4_struct_0(A)) ) ) ) ).
fof(t8_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k5_bcialg_1(A)) => k2_bcialg_6(A, k2_bcialg_6(A, B, k4_xcmplx_0(1)), k4_xcmplx_0(1))=B) ) ) ) ).
fof(t9_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) => k2_bcialg_6(A, B, k4_xcmplx_0(C))=k2_bcialg_6(A, k2_bcialg_1(A, k2_bcialg_1(A, B)), k4_xcmplx_0(C))) ) ) ) ) ) ).
fof(t10_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k5_bcialg_1(A)) =>  (! [C] :  (v7_ordinal1(C) => k2_bcialg_6(A, k2_bcialg_1(A, B), C)=k2_bcialg_6(A, B, k4_xcmplx_0(C))) ) ) ) ) ) ).
fof(t11_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r2_tarski(B, k4_bcialg_1(A)) & r1_xxreal_0(1, C))  => k2_bcialg_6(A, B, C)=B) ) ) ) ) ) ) ).
fof(t12_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(B, k4_bcialg_1(A)) => k2_bcialg_6(A, B, k4_xcmplx_0(C))=k4_struct_0(A)) ) ) ) ) ) ) ).
fof(t13_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k5_bcialg_1(A)) =>  (! [C] :  (v1_int_1(C) => r2_tarski(k2_bcialg_6(A, B, C), k5_bcialg_1(A))) ) ) ) ) ) ).
fof(t14_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k5_bcialg_1(A)) =>  (! [C] :  (v7_ordinal1(C) => k2_bcialg_1(A, k2_bcialg_6(A, B, k1_nat_1(C, 1)))=k1_bcialg_1(A, k2_bcialg_1(A, k2_bcialg_6(A, B, C)), B)) ) ) ) ) ) ).
fof(t15_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k5_bcialg_1(A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), k5_bcialg_1(A)) =>  (! [D] :  (v7_ordinal1(D) => k2_bcialg_6(A, k6_bcialg_1(A, B, C), D)=k1_bcialg_1(A, k2_bcialg_6(A, B, D), k2_bcialg_6(A, C, D))) ) ) ) ) ) ) ) ).
fof(t16_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k5_bcialg_1(A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), k5_bcialg_1(A)) =>  (! [D] :  (v7_ordinal1(D) => k2_bcialg_6(A, k6_bcialg_1(A, B, C), k4_xcmplx_0(D))=k1_bcialg_1(A, k2_bcialg_6(A, B, k4_xcmplx_0(D)), k2_bcialg_6(A, C, k4_xcmplx_0(D)))) ) ) ) ) ) ) ) ).
fof(t17_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k5_bcialg_1(A)) =>  (! [C] :  (v7_ordinal1(C) => k2_bcialg_6(A, k2_bcialg_1(A, B), C)=k2_bcialg_1(A, k2_bcialg_6(A, B, C))) ) ) ) ) ) ).
fof(t18_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) => k2_bcialg_6(A, k2_bcialg_1(A, B), C)=k2_bcialg_1(A, k2_bcialg_6(A, B, C))) ) ) ) ) ) ).
fof(t19_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k5_bcialg_1(A)) =>  (! [C] :  (v7_ordinal1(C) => k2_bcialg_6(A, k2_bcialg_1(A, B), k4_xcmplx_0(C))=k2_bcialg_1(A, k2_bcialg_6(A, B, k4_xcmplx_0(C)))) ) ) ) ) ) ).
fof(t20_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), k5_bcialg_1(A)) =>  (! [D] :  (v7_ordinal1(D) =>  (C=k2_bcialg_6(A, k2_bcialg_1(A, k2_bcialg_1(A, B)), D) => r2_tarski(k2_bcialg_6(A, B, D), k7_bcialg_1(A, C))) ) ) ) ) ) ) ) ) ).
fof(t21_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) => k2_bcialg_1(A, k2_bcialg_6(A, B, C))=k2_bcialg_1(A, k2_bcialg_6(A, k2_bcialg_1(A, k2_bcialg_1(A, B)), C))) ) ) ) ) ) ).
fof(t22_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k5_bcialg_1(A)) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) => k1_bcialg_1(A, k2_bcialg_6(A, B, C), k2_bcialg_6(A, B, D))=k2_bcialg_6(A, B, k6_xcmplx_0(C, D))) ) ) ) ) ) ) ) ).
fof(t23_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k5_bcialg_1(A)) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) => k2_bcialg_6(A, k2_bcialg_6(A, B, C), D)=k2_bcialg_6(A, B, k3_xcmplx_0(C, D))) ) ) ) ) ) ) ) ).
fof(t24_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k5_bcialg_1(A)) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) => k2_bcialg_6(A, B, k2_xcmplx_0(C, D))=k1_bcialg_1(A, k2_bcialg_6(A, B, C), k2_bcialg_1(A, k2_bcialg_6(A, B, D)))) ) ) ) ) ) ) ) ).
fof(d4_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v1_bcialg_6(B, A) <=>  (? [C] :  (m1_subset_1(C, k4_ordinal1) &  ( ~ (C=k5_numbers)  & r2_tarski(k2_bcialg_6(A, B, C), k4_bcialg_1(A))) ) ) ) ) ) ) ) ).
fof(t25_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v1_bcialg_6(B, A) => v1_bcialg_6(k2_bcialg_1(A, k2_bcialg_1(A, B)), A)) ) ) ) ) ).
fof(d5_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v1_bcialg_6(B, A) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (C=k3_bcialg_6(A, B) <=>  (r2_tarski(k2_bcialg_6(A, B, C), k4_bcialg_1(A)) &  ( ~ (C=k5_numbers)  &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r2_tarski(k2_bcialg_6(A, B, D), k4_bcialg_1(A)) =>  (D=k5_numbers | r1_xxreal_0(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k5_bcialg_1(A)) =>  (! [C] :  (v7_ordinal1(C) =>  ( (v1_bcialg_6(B, A) & k3_bcialg_6(A, B)=C)  => k2_bcialg_6(A, B, C)=k4_struct_0(A)) ) ) ) ) ) ) ).
fof(t27_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v1_bcialg_6(B, A) & k3_bcialg_6(A, B)=1) ) ) ) ) ) ).
fof(t28_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), k5_bcialg_1(A)) =>  ( (v1_bcialg_6(B, A) &  (v1_bcialg_6(C, A) & r2_tarski(B, k7_bcialg_1(A, C))) )  => k3_bcialg_6(A, B)=k3_bcialg_6(A, C)) ) ) ) ) ) ) ).
fof(t29_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (v1_bcialg_6(B, A) & k3_bcialg_6(A, B)=D)  =>  (r2_tarski(k2_bcialg_6(A, B, C), k4_bcialg_1(A)) <=> r1_int_1(D, C)) ) ) ) ) ) ) ) ) ) ).
fof(t30_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (v1_bcialg_6(B, A) &  (v1_bcialg_6(k2_bcialg_6(A, B, C), A) & k3_bcialg_6(A, B)=D) )  =>  (r1_xxreal_0(C, k5_numbers) | k3_bcialg_6(A, k2_bcialg_6(A, B, C))=k4_int_1(D, k6_nat_d(C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t31_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (v1_bcialg_6(B, A) & v1_bcialg_6(k2_bcialg_1(A, B), A))  => k3_bcialg_6(A, B)=k3_bcialg_6(A, k2_bcialg_1(A, B))) ) ) ) ) ).
fof(t32_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(A), k5_bcialg_1(A)) =>  ( (v1_bcialg_6(k1_bcialg_1(A, B, C), A) &  (r2_tarski(B, k7_bcialg_1(A, D)) & r2_tarski(C, k7_bcialg_1(A, D))) )  => k3_bcialg_6(A, k1_bcialg_1(A, B, C))=1) ) ) ) ) ) ) ) ) ).
fof(t33_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(A), k5_bcialg_1(A)) =>  (! [E] :  (m2_subset_1(E, u1_struct_0(A), k5_bcialg_1(A)) =>  ( (v1_bcialg_6(k6_bcialg_1(A, D, E), A) &  (v1_bcialg_6(B, A) &  (v1_bcialg_6(C, A) &  (v1_bcialg_6(D, A) &  (v1_bcialg_6(E, A) &  (r2_tarski(B, k7_bcialg_1(A, D)) & r2_tarski(C, k7_bcialg_1(A, E))) ) ) ) ) )  => r1_int_1(k3_bcialg_6(A, k6_bcialg_1(A, D, E)), k5_nat_d(k3_bcialg_6(A, B), k3_bcialg_6(A, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_bcialg_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( (C=E & D=F)  => k1_bcialg_1(A, C, D)=k1_bcialg_1(B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_bcialg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_bcialg_1(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v2_bcialg_6(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k1_bcialg_1(A, D, E))=k1_bcialg_1(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D), k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v2_bcialg_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (v3_bcialg_6(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_bcialg_1(A, D, E) => r1_bcialg_1(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D), k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v2_bcialg_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  => k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k4_struct_0(A))=k4_struct_0(B)) ) ) ) ) ) ).
fof(t36_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) &  (v2_bcialg_6(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (r1_bcialg_1(A, C, D) => r1_bcialg_1(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), E, C), k3_funct_2(u1_struct_0(A), u1_struct_0(B), E, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v2_bcialg_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (v2_funct_1(C) <=> k4_bcialg_6(A, B, C)=k1_tarski(k4_struct_0(A))) ) ) ) ) ) ) ).
fof(t38_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v2_bcialg_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) &  (v2_bcialg_6(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) )  =>  ( (v3_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & D=k2_funct_1(C))  => v3_funct_2(D, u1_struct_0(B), u1_struct_0(A))) ) ) ) ) ) ) ) ) ).
fof(t39_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v3_bcialg_1(C) &  (v4_bcialg_1(C) &  (v5_bcialg_1(C) &  (v7_bcialg_1(C) & l2_bcialg_1(C)) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v2_bcialg_6(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) &  (v2_bcialg_6(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) )  =>  (v1_funct_1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E)) &  (v1_funct_2(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), u1_struct_0(A), u1_struct_0(C)) &  (v2_bcialg_6(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), A, C) & m1_subset_1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v2_bcialg_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (! [D] :  (m1_bcialg_1(D, B) =>  (u1_struct_0(D)=k2_relset_1(u1_struct_0(B), C) =>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(D)) &  (v2_bcialg_6(C, A, D) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(D))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v2_bcialg_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (v12_bcialg_1(k4_bcialg_6(A, B, C), A) & m2_bcialg_1(k4_bcialg_6(A, B, C), A)) ) ) ) ) ) ) ).
fof(t42_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v2_bcialg_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (v2_funct_2(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) & D=k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v2_bcialg_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (v10_bcialg_1(D, A) => v10_bcialg_1(k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t44_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v2_bcialg_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (! [D] :  (m2_subset_1(D, u1_struct_0(A), k5_bcialg_1(A)) =>  (! [E] :  (m2_subset_1(E, u1_struct_0(B), k5_bcialg_1(B)) =>  (E=k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D) => r1_tarski(k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, k7_bcialg_1(A, D)), k7_bcialg_1(B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v2_bcialg_6(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (m2_bcialg_1(C, B) => m2_bcialg_1(k8_relset_1(u1_struct_0(A), u1_struct_0(B), D, C), A)) ) ) ) ) ) ) ) ) ).
fof(t46_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v2_bcialg_6(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  ( (v12_bcialg_1(C, B) & m2_bcialg_1(C, B))  =>  (v12_bcialg_1(k8_relset_1(u1_struct_0(A), u1_struct_0(B), D, C), A) & m2_bcialg_1(k8_relset_1(u1_struct_0(A), u1_struct_0(B), D, C), A)) ) ) ) ) ) ) ) ) ) ).
fof(t47_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  =>  (! [C] :  (m2_bcialg_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v2_bcialg_6(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (v2_funct_2(D, u1_struct_0(B)) => m2_bcialg_1(k7_relset_1(u1_struct_0(A), u1_struct_0(B), D, C), B)) ) ) ) ) ) ) ) ) ).
fof(t48_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  =>  (! [C] :  ( (v12_bcialg_1(C, A) & m2_bcialg_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v2_bcialg_6(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (v2_funct_2(D, u1_struct_0(B)) =>  (v12_bcialg_1(k7_relset_1(u1_struct_0(A), u1_struct_0(B), D, C), B) & m2_bcialg_1(k7_relset_1(u1_struct_0(A), u1_struct_0(B), D, C), B)) ) ) ) ) ) ) ) ) ) ).
fof(d9_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  =>  (r1_bcialg_6(A, B) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v2_bcialg_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  & v3_funct_2(C, u1_struct_0(A), u1_struct_0(B))) ) ) ) ) ) ) ).
fof(d10_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_bcialg_1(B, A) =>  (! [C] :  (m5_bcialg_2(C, A, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(k9_bcialg_2(A, C))) &  (v2_bcialg_6(D, A, k9_bcialg_2(A, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k9_bcialg_2(A, C)))))) ) )  =>  (D=k5_bcialg_6(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(k9_bcialg_2(A, C)), D, E)=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_bcialg_1(B, A) =>  (! [C] :  (m5_bcialg_2(C, A, B) => v2_funct_2(k5_bcialg_6(A, B, C), u1_struct_0(k9_bcialg_2(A, C)))) ) ) ) ) ) ).
fof(t50_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  =>  (! [C] :  (m2_bcialg_1(C, A) =>  (! [D] :  (m5_bcialg_2(D, A, C) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) &  (v2_bcialg_6(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  ~ ( (C=k4_bcialg_6(A, B, E) &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k9_bcialg_2(A, D)), u1_struct_0(B)) &  (v2_bcialg_6(F, k9_bcialg_2(A, D), B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k9_bcialg_2(A, D)), u1_struct_0(B))))) ) )  =>  ~ ( (r2_funct_2(u1_struct_0(A), u1_struct_0(B), E, k1_partfun1(u1_struct_0(A), u1_struct_0(k9_bcialg_2(A, D)), u1_struct_0(k9_bcialg_2(A, D)), u1_struct_0(B), k5_bcialg_6(A, C, D), F)) & v2_funct_1(F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  ( (v12_bcialg_1(B, A) & m2_bcialg_1(B, A))  =>  (! [C] :  (m5_bcialg_2(C, A, B) => k4_bcialg_6(A, k9_bcialg_2(A, C), k5_bcialg_6(A, B, C))=B) ) ) ) ) ) ).
fof(t53_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  =>  (! [C] :  (m1_bcialg_1(C, B) =>  (! [D] :  (m2_bcialg_1(D, A) =>  (! [E] :  (m5_bcialg_2(E, A, D) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(A), u1_struct_0(B)) &  (v2_bcialg_6(F, A, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  ( (D=k4_bcialg_6(A, B, F) & u1_struct_0(C)=k2_relset_1(u1_struct_0(B), F))  => r1_bcialg_6(k9_bcialg_2(A, E), C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  =>  (! [C] :  (m2_bcialg_1(C, A) =>  (! [D] :  (m5_bcialg_2(D, A, C) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) &  (v2_bcialg_6(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  ( (C=k4_bcialg_6(A, B, E) & v2_funct_2(E, u1_struct_0(B)))  => r1_bcialg_6(k9_bcialg_2(A, D), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_bcialg_1(B, A) =>  (! [C] :  ( (v12_bcialg_1(C, A) & m2_bcialg_1(C, A))  =>  (! [D] :  (m5_bcialg_2(D, A, C) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(k6_bcialg_6(A, B, C, D), k6_bcialg_6(A, B, C, D)), k6_bcialg_6(A, B, C, D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_bcialg_6(A, B, C, D), k6_bcialg_6(A, B, C, D)), k6_bcialg_6(A, B, C, D))))) )  =>  (E=k7_bcialg_6(A, B, C, D) <=>  (! [F] :  (m2_subset_1(F, u1_struct_0(A), k6_bcialg_6(A, B, C, D)) =>  (! [G] :  (m2_subset_1(G, u1_struct_0(A), k6_bcialg_6(A, B, C, D)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  ( (F=H & G=I)  => k4_binop_1(k6_bcialg_6(A, B, C, D), E, F, G)=k1_bcialg_1(A, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_bcialg_1(B, A) =>  (! [C] :  ( (v12_bcialg_1(C, A) & m2_bcialg_1(C, A))  =>  (! [D] :  (m5_bcialg_2(D, A, C) => k8_bcialg_6(A, B, C, D)=k4_struct_0(A)) ) ) ) ) ) ) ) ).
fof(d14_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_bcialg_1(B, A) =>  (! [C] :  ( (v12_bcialg_1(C, A) & m2_bcialg_1(C, A))  =>  (! [D] :  (m5_bcialg_2(D, A, C) => k9_bcialg_6(A, B, C, D)=g2_bcialg_1(k6_bcialg_6(A, B, C, D), k7_bcialg_6(A, B, C, D), k8_bcialg_6(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(d15_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_bcialg_1(B, A) =>  (! [C] :  ( (v12_bcialg_1(C, A) & m2_bcialg_1(C, A))  =>  (! [D] :  (m5_bcialg_2(D, A, C) =>  (! [E] :  (m2_subset_1(E, u1_struct_0(A), k6_bcialg_6(A, B, C, D)) =>  (! [F] :  (m2_subset_1(F, u1_struct_0(A), k6_bcialg_6(A, B, C, D)) => k10_bcialg_6(A, B, C, D, E, F)=k4_binop_1(k6_bcialg_6(A, B, C, D), k7_bcialg_6(A, B, C, D), E, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_bcialg_1(B, A) =>  (! [C] :  ( (v12_bcialg_1(C, A) & m2_bcialg_1(C, A))  =>  (! [D] :  (m5_bcialg_2(D, A, C) =>  ( ~ (v2_struct_0(k9_bcialg_6(A, B, C, D)))  &  (v3_bcialg_1(k9_bcialg_6(A, B, C, D)) &  (v4_bcialg_1(k9_bcialg_6(A, B, C, D)) &  (v5_bcialg_1(k9_bcialg_6(A, B, C, D)) &  (v7_bcialg_1(k9_bcialg_6(A, B, C, D)) & l2_bcialg_1(k9_bcialg_6(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_bcialg_1(B, A) =>  (! [C] :  ( (v12_bcialg_1(C, A) & m2_bcialg_1(C, A))  =>  (! [D] :  (m5_bcialg_2(D, A, C) => m1_bcialg_1(k9_bcialg_6(A, B, C, D), A)) ) ) ) ) ) ) ) ).
fof(t57_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_bcialg_1(B, A) =>  (! [C] :  ( (v12_bcialg_1(C, A) & m2_bcialg_1(C, A))  =>  (v12_bcialg_1(k9_subset_1(u1_struct_0(A), u1_struct_0(B), C), B) & m2_bcialg_1(k9_subset_1(u1_struct_0(A), u1_struct_0(B), C), B)) ) ) ) ) ) ) ).
fof(t58_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_bcialg_1(B, A) =>  (! [C] :  ( (v12_bcialg_1(C, A) & m2_bcialg_1(C, A))  =>  (! [D] :  (m5_bcialg_2(D, A, C) =>  (! [E] :  (m2_bcialg_1(E, k9_bcialg_6(A, B, C, D)) =>  (! [F] :  (m5_bcialg_2(F, k9_bcialg_6(A, B, C, D), E) =>  (! [G] :  (m2_bcialg_1(G, B) =>  (! [H] :  (m5_bcialg_2(H, B, G) =>  ( (F=D & G=k9_subset_1(u1_struct_0(A), u1_struct_0(B), C))  => r1_bcialg_6(k9_bcialg_2(B, H), k9_bcialg_2(k9_bcialg_6(A, B, C, D), F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_bcialg_1(A))  =>  (v1_funct_1(k1_bcialg_6(A)) &  (v1_funct_2(k1_bcialg_6(A), k2_zfmisc_1(u1_struct_0(A), k4_ordinal1), u1_struct_0(A)) & m1_subset_1(k1_bcialg_6(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k4_ordinal1), u1_struct_0(A))))) ) ) ) ).
fof(dt_k2_bcialg_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & v1_int_1(C)) )  => m1_subset_1(k2_bcialg_6(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k3_bcialg_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k3_bcialg_6(A, B), k4_ordinal1)) ) ).
fof(dt_k5_bcialg_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  &  (m2_bcialg_1(B, A) & m4_bcialg_2(C, A, B)) )  =>  (v1_funct_1(k5_bcialg_6(A, B, C)) &  (v1_funct_2(k5_bcialg_6(A, B, C), u1_struct_0(A), u1_struct_0(k9_bcialg_2(A, C))) &  (v2_bcialg_6(k5_bcialg_6(A, B, C), A, k9_bcialg_2(A, C)) & m1_subset_1(k5_bcialg_6(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k9_bcialg_2(A, C)))))) ) ) ) ) ).
fof(dt_k6_bcialg_6, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  &  (m1_bcialg_1(B, A) &  ( (v12_bcialg_1(C, A) & m2_bcialg_1(C, A))  & m4_bcialg_2(D, A, C)) ) )  =>  ( ~ (v1_xboole_0(k6_bcialg_6(A, B, C, D)))  & m1_subset_1(k6_bcialg_6(A, B, C, D), k1_zfmisc_1(u1_struct_0(A)))) ) ) ).
fof(dt_k7_bcialg_6, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  &  (m1_bcialg_1(B, A) &  ( (v12_bcialg_1(C, A) & m2_bcialg_1(C, A))  & m4_bcialg_2(D, A, C)) ) )  =>  (v1_funct_1(k7_bcialg_6(A, B, C, D)) &  (v1_funct_2(k7_bcialg_6(A, B, C, D), k2_zfmisc_1(k6_bcialg_6(A, B, C, D), k6_bcialg_6(A, B, C, D)), k6_bcialg_6(A, B, C, D)) & m1_subset_1(k7_bcialg_6(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_bcialg_6(A, B, C, D), k6_bcialg_6(A, B, C, D)), k6_bcialg_6(A, B, C, D))))) ) ) ) ).
fof(dt_k8_bcialg_6, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  &  (m1_bcialg_1(B, A) &  ( (v12_bcialg_1(C, A) & m2_bcialg_1(C, A))  & m4_bcialg_2(D, A, C)) ) )  => m2_subset_1(k8_bcialg_6(A, B, C, D), u1_struct_0(A), k6_bcialg_6(A, B, C, D))) ) ).
fof(dt_k9_bcialg_6, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  &  (m1_bcialg_1(B, A) &  ( (v12_bcialg_1(C, A) & m2_bcialg_1(C, A))  & m4_bcialg_2(D, A, C)) ) )  => l2_bcialg_1(k9_bcialg_6(A, B, C, D))) ) ).
fof(dt_k10_bcialg_6, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  &  (m1_bcialg_1(B, A) &  ( (v12_bcialg_1(C, A) & m2_bcialg_1(C, A))  &  (m4_bcialg_2(D, A, C) &  (m1_subset_1(E, k6_bcialg_6(A, B, C, D)) & m1_subset_1(F, k6_bcialg_6(A, B, C, D))) ) ) ) )  => m2_subset_1(k10_bcialg_6(A, B, C, D, E, F), u1_struct_0(A), k6_bcialg_6(A, B, C, D))) ) ).
fof(d8_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v2_bcialg_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  => k4_bcialg_6(A, B, C)=a_3_0_bcialg_6(A, B, C)) ) ) ) ) ) ).
fof(d11_bcialg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_bcialg_1(B, A) =>  (! [C] :  ( (v12_bcialg_1(C, A) & m2_bcialg_1(C, A))  =>  (! [D] :  (m5_bcialg_2(D, A, C) => k6_bcialg_6(A, B, C, D)=k3_tarski(a_4_0_bcialg_6(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_bcialg_6, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v3_bcialg_1(C) &  (v4_bcialg_1(C) &  (v5_bcialg_1(C) &  (v7_bcialg_1(C) & l2_bcialg_1(C)) ) ) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v2_bcialg_6(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) )  =>  (r2_hidden(A, a_3_0_bcialg_6(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E & k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, E)=k4_struct_0(C)) ) ) ) ) ) ).
fof(fraenkel_a_4_0_bcialg_6, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  &  (m1_bcialg_1(C, B) &  ( (v12_bcialg_1(D, B) & m2_bcialg_1(D, B))  & m5_bcialg_2(E, B, D)) ) )  =>  (r2_hidden(A, a_4_0_bcialg_6(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(C)) &  (A=k6_eqrel_1(u1_struct_0(B), u1_struct_0(B), E, F) & r2_tarski(k6_eqrel_1(u1_struct_0(B), u1_struct_0(B), E, F), u1_struct_0(k9_bcialg_2(B, E)))) ) ) ) ) ) ).
fof(rc1_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (? [B] :  (m2_bcialg_1(B, A) &  ( ~ (v1_xboole_0(B))  & v2_bciideal(B, A)) ) ) ) ) ).
fof(rc2_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  (? [B] :  (m2_bcialg_1(B, A) &  ( ~ (v1_xboole_0(B))  & v3_bciideal(B, A)) ) ) ) ) ).
fof(t1_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_bcialg_1(A, B, C) => r1_bcialg_1(A, k1_bcialg_1(A, E, k1_bcialg_1(A, D, B)), k1_bcialg_1(A, E, k1_bcialg_1(A, D, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => r1_bcialg_1(A, k1_bcialg_1(A, k1_bcialg_1(A, B, k1_bcialg_1(A, C, D)), k1_bcialg_1(A, B, k1_bcialg_1(A, C, E))), k1_bcialg_1(A, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t3_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => r1_bcialg_1(A, k1_bcialg_1(A, k1_bcialg_1(A, B, k1_bcialg_1(A, C, k1_bcialg_1(A, D, E))), k1_bcialg_1(A, B, k1_bcialg_1(A, C, k1_bcialg_1(A, D, F)))), k1_bcialg_1(A, F, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, k1_bcialg_1(A, k4_struct_0(A), k1_bcialg_1(A, B, C)), k1_bcialg_1(A, C, B))=k4_struct_0(A)) ) ) ) ) ) ).
fof(t5_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_bcialg_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(A), B) =>  (r1_bcialg_1(A, C, D) => r2_tarski(C, B)) ) ) ) ) ) ) ) ) ).
fof(t6_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k5_bcialg_1(A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), k5_bcialg_1(A)) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(A), k5_bcialg_1(A)) =>  (m2_subset_1(B, u1_struct_0(A), k7_bcialg_1(A, D)) => k6_bcialg_1(A, C, B)=k6_bcialg_1(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t7_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), k5_bcialg_1(A)) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(A), k5_bcialg_1(A)) =>  (m2_subset_1(C, u1_struct_0(A), k7_bcialg_1(A, D)) => k1_bcialg_1(A, B, C)=k1_bcialg_1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t8_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_bcialg_1(B, A) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), B) => r1_tarski(k1_bciideal(A, C), B)) ) ) ) ) ) ).
fof(t9_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (m2_bcialg_1(k5_bcialg_1(A), A) =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k4_bcialg_1(A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), k5_bcialg_1(A)) =>  (r2_tarski(k1_bcialg_1(A, B, C), k5_bcialg_1(A)) => B=k4_struct_0(A)) ) ) ) ) ) ) ) ).
fof(t10_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (m2_bcialg_1(k5_bcialg_1(A), A) =>  (v12_bcialg_1(k5_bcialg_1(A), A) & m2_bcialg_1(k5_bcialg_1(A), A)) ) ) ) ).
fof(d2_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_bcialg_1(B, A) =>  (v1_bciideal(B, A) <=>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), B) => v1_bcialg_2(C, A)) ) ) ) ) ) ) ).
fof(t11_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  (! [B] :  (m2_bcialg_1(B, A) =>  (! [C] :  (m2_bcialg_1(C, A) =>  (k9_subset_1(u1_struct_0(A), B, C)=k1_tarski(k4_struct_0(A)) <=>  (! [D] :  (m2_subset_1(D, u1_struct_0(A), B) =>  (! [E] :  (m2_subset_1(E, u1_struct_0(A), C) => k1_bcialg_1(A, D, E)=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v13_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  (! [B] :  (m2_bcialg_1(B, A) => v12_bcialg_1(B, A)) ) ) ) ).
fof(t13_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_bcialg_1(B, A) =>  (v14_bcialg_1(A) => v12_bcialg_1(B, A)) ) ) ) ) ).
fof(d3_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_bcialg_1(B, A) =>  (v2_bciideal(B, A) <=>  (r2_tarski(k4_struct_0(A), B) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r2_tarski(k1_bcialg_1(A, C, k1_bcialg_1(A, D, E)), B) & r2_tarski(k1_bcialg_1(A, D, E), B))  => r2_tarski(C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (m1_bciideal(B, A) <=>  (r2_tarski(k4_struct_0(A), B) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r2_tarski(k1_bcialg_1(A, k1_bcialg_1(A, C, D), E), B) & r2_tarski(k1_bcialg_1(A, D, E), B))  => r2_tarski(C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (m1_bciideal(B, A) => m2_bcialg_1(B, A)) ) ) ) ) ).
fof(t15_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_bcialg_1(B, A) =>  (m1_bciideal(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(k1_bcialg_1(A, k1_bcialg_1(A, C, D), E), B) => r2_tarski(k1_bcialg_1(A, C, k1_bcialg_1(A, D, E)), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_bcialg_1(B, A) =>  (m1_bciideal(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_tarski(k1_bcialg_1(A, C, k1_bcialg_1(A, k4_struct_0(A), C)), B)) ) ) ) ) ) ) ).
fof(t17_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_bcialg_1(B, A) =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_tarski(k1_bcialg_1(A, C, k1_bcialg_1(A, k4_struct_0(A), C)), B)) )  =>  (v12_bcialg_1(B, A) & m2_bcialg_1(B, A)) ) ) ) ) ) ).
fof(d5_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (m2_bciideal(B, A) <=>  (r2_tarski(k4_struct_0(A), B) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r2_tarski(k1_bcialg_1(A, k1_bcialg_1(A, C, E), k1_bcialg_1(A, D, E)), B) & r2_tarski(D, B))  => r2_tarski(C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (m2_bciideal(B, A) => m2_bcialg_1(B, A)) ) ) ) ) ).
fof(t19_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_bcialg_1(B, A) =>  (m2_bciideal(B, A) => r1_tarski(k4_bcialg_1(A), B)) ) ) ) ) ).
fof(t20_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  => m2_bciideal(k4_bcialg_1(A), A)) ) ).
fof(t21_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_bcialg_1(B, A) =>  (m2_bciideal(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r1_bcialg_1(A, C, D))  => r2_tarski(D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t22_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_bcialg_1(B, A) =>  (m2_bciideal(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(k1_bcialg_1(A, k1_bcialg_1(A, C, E), k1_bcialg_1(A, D, E)), B) => r2_tarski(k1_bcialg_1(A, C, D), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  (! [B] :  (m2_bcialg_1(B, A) =>  (v3_bciideal(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r2_tarski(k1_bcialg_1(A, k1_bcialg_1(A, C, D), E), B) & r2_tarski(E, B))  => r2_tarski(k1_bcialg_1(A, C, k1_bcialg_1(A, D, k1_bcialg_1(A, D, C))), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  (v3_bciideal(k4_bcialg_1(A), A) & m2_bcialg_1(k4_bcialg_1(A), A)) ) ) ).
fof(t24_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v19_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  (v3_bciideal(k1_tarski(k4_struct_0(A)), A) & m2_bcialg_1(k1_tarski(k4_struct_0(A)), A)) ) ) ) ).
fof(t25_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  => k4_bcialg_1(A)=u1_struct_0(A)) ) ).
fof(t26_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  ( (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k1_bcialg_1(B, k1_bcialg_1(B, C, D), D)=k1_bcialg_1(B, C, D)) ) ) ) ) )  => u1_struct_0(A)=k4_bcialg_1(A)) ) ) ).
fof(t27_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  ( (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k1_bcialg_1(B, C, k1_bcialg_1(B, D, C))=C) ) ) ) ) )  => u1_struct_0(A)=k4_bcialg_1(A)) ) ) ).
fof(t28_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  ( (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k1_bcialg_1(B, C, k1_bcialg_1(B, C, D))=k1_bcialg_1(B, D, k1_bcialg_1(B, D, C))) ) ) ) ) )  => u1_struct_0(A)=k4_bcialg_1(A)) ) ) ).
fof(t29_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  ( (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => k1_bcialg_1(B, k1_bcialg_1(B, C, D), D)=k1_bcialg_1(B, k1_bcialg_1(B, C, E), k1_bcialg_1(B, D, E))) ) ) ) ) ) ) )  => u1_struct_0(A)=k4_bcialg_1(A)) ) ) ).
fof(t30_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  ( (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k1_bcialg_1(B, k1_bcialg_1(B, C, D), k1_bcialg_1(B, D, C))=k1_bcialg_1(B, C, D)) ) ) ) ) )  => u1_struct_0(A)=k4_bcialg_1(A)) ) ) ).
fof(t31_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  ( (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k1_bcialg_1(B, k1_bcialg_1(B, C, D), k1_bcialg_1(B, k1_bcialg_1(B, C, D), k1_bcialg_1(B, D, C)))=k4_struct_0(B)) ) ) ) ) )  => u1_struct_0(A)=k4_bcialg_1(A)) ) ) ).
fof(t32_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  (v3_bciideal(u1_struct_0(A), A) & m2_bcialg_1(u1_struct_0(A), A)) ) ) ).
fof(t33_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  (! [B] :  (m2_bcialg_1(B, A) =>  ( (v3_bciideal(B, A) & m2_bcialg_1(B, A))  <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(k1_bcialg_1(A, C, D), B) => r2_tarski(k1_bcialg_1(A, C, k1_bcialg_1(A, D, k1_bcialg_1(A, D, C))), B)) ) ) ) ) ) ) ) ) ) ).
fof(t34_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  (! [B] :  (m2_bcialg_1(B, A) =>  (! [C] :  (m2_bcialg_1(C, A) =>  ( (r1_tarski(B, C) &  (v3_bciideal(B, A) & m2_bcialg_1(B, A)) )  =>  (v3_bciideal(C, A) & m2_bcialg_1(C, A)) ) ) ) ) ) ) ) ).
fof(t35_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  ( (! [B] :  (m2_bcialg_1(B, A) =>  (v3_bciideal(B, A) & m2_bcialg_1(B, A)) ) )  <=>  (v3_bciideal(k1_tarski(k4_struct_0(A)), A) & m2_bcialg_1(k1_tarski(k4_struct_0(A)), A)) ) ) ) ).
fof(t36_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  ( (v3_bciideal(k1_tarski(k4_struct_0(A)), A) & m2_bcialg_1(k1_tarski(k4_struct_0(A)), A))  <=>  ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v1_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) ) ) ) ) ).
fof(t37_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) &  (v1_bcialg_3(A) & l2_bcialg_1(A)) ) ) ) ) ) )  <=>  (! [B] :  (m2_bcialg_1(B, A) =>  (v3_bciideal(B, A) & m2_bcialg_1(B, A)) ) ) ) ) ) ).
fof(t38_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  ( (v3_bciideal(k1_tarski(k4_struct_0(A)), A) & m2_bcialg_1(k1_tarski(k4_struct_0(A)), A))  <=>  (! [B] :  (m2_bcialg_1(B, A) =>  (v3_bciideal(B, A) & m2_bcialg_1(B, A)) ) ) ) ) ) ).
fof(t39_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  (! [B] :  (m2_bcialg_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(k1_bcialg_1(A, C, k1_bcialg_1(A, C, D)), B) =>  (r2_tarski(k1_bcialg_1(A, C, k1_bcialg_1(A, k1_bcialg_1(A, C, D), k1_bcialg_1(A, k1_bcialg_1(A, C, D), C))), B) &  (r2_tarski(k1_bcialg_1(A, k1_bcialg_1(A, D, k1_bcialg_1(A, D, C)), C), B) & r2_tarski(k1_bcialg_1(A, k1_bcialg_1(A, D, k1_bcialg_1(A, D, C)), k1_bcialg_1(A, C, D)), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  ( (v3_bciideal(k1_tarski(k4_struct_0(A)), A) & m2_bcialg_1(k1_tarski(k4_struct_0(A)), A))  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_bcialg_1(A, k1_bcialg_1(A, B, k1_bcialg_1(A, B, C)), k1_bcialg_1(A, C, k1_bcialg_1(A, C, B)))) ) ) ) ) ) ) ).
fof(t41_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  ( (v3_bciideal(k1_tarski(k4_struct_0(A)), A) & m2_bcialg_1(k1_tarski(k4_struct_0(A)), A))  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, B, C)=k1_bcialg_1(A, B, k1_bcialg_1(A, C, k1_bcialg_1(A, C, B)))) ) ) ) ) ) ) ).
fof(t42_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  ( (v3_bciideal(k1_tarski(k4_struct_0(A)), A) & m2_bcialg_1(k1_tarski(k4_struct_0(A)), A))  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, B, k1_bcialg_1(A, B, C))=k1_bcialg_1(A, C, k1_bcialg_1(A, C, k1_bcialg_1(A, B, k1_bcialg_1(A, B, C))))) ) ) ) ) ) ) ).
fof(t43_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  ( (v3_bciideal(k1_tarski(k4_struct_0(A)), A) & m2_bcialg_1(k1_tarski(k4_struct_0(A)), A))  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_bcialg_1(A, B, C) => B=k1_bcialg_1(A, C, k1_bcialg_1(A, C, B))) ) ) ) ) ) ) ) ).
fof(t44_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  ( (v3_bciideal(k1_tarski(k4_struct_0(A)), A) & m2_bcialg_1(k1_tarski(k4_struct_0(A)), A))  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_bcialg_1(A, B, C)=B <=> k1_bcialg_1(A, C, k1_bcialg_1(A, C, B))=k4_struct_0(A)) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_bcialg_1(A, B, C)=B => k1_bcialg_1(A, C, B)=C) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_bcialg_1(A, C, D) => k1_bcialg_1(A, k1_bcialg_1(A, D, B), k1_bcialg_1(A, D, C))=k1_bcialg_1(A, C, B)) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_bcialg_1(A, B, k1_bcialg_1(A, C, k1_bcialg_1(A, C, B)))=k1_bcialg_1(A, B, C) & k1_bcialg_1(A, k1_bcialg_1(A, B, C), k1_bcialg_1(A, k1_bcialg_1(A, B, C), B))=k1_bcialg_1(A, B, C)) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_bcialg_1(A, B, D) => k1_bcialg_1(A, k1_bcialg_1(A, D, C), k1_bcialg_1(A, k1_bcialg_1(A, D, C), k1_bcialg_1(A, D, B)))=k1_bcialg_1(A, k1_bcialg_1(A, D, C), k1_bcialg_1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  ( (! [B] :  (m2_bcialg_1(B, A) =>  (v3_bciideal(B, A) & m2_bcialg_1(B, A)) ) )  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_bcialg_1(A, k1_bcialg_1(A, B, k1_bcialg_1(A, B, C)), k1_bcialg_1(A, C, k1_bcialg_1(A, C, B)))) ) ) ) ) ) ) ).
fof(t46_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  ( (! [B] :  (m2_bcialg_1(B, A) =>  (v3_bciideal(B, A) & m2_bcialg_1(B, A)) ) )  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, B, C)=k1_bcialg_1(A, B, k1_bcialg_1(A, C, k1_bcialg_1(A, C, B)))) ) ) ) ) ) ) ).
fof(t47_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  ( (! [B] :  (m2_bcialg_1(B, A) =>  (v3_bciideal(B, A) & m2_bcialg_1(B, A)) ) )  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bcialg_1(A, B, k1_bcialg_1(A, B, C))=k1_bcialg_1(A, C, k1_bcialg_1(A, C, k1_bcialg_1(A, B, k1_bcialg_1(A, B, C))))) ) ) ) ) ) ) ).
fof(t48_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  ( (! [B] :  (m2_bcialg_1(B, A) =>  (v3_bciideal(B, A) & m2_bcialg_1(B, A)) ) )  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_bcialg_1(A, B, C) => B=k1_bcialg_1(A, C, k1_bcialg_1(A, C, B))) ) ) ) ) ) ) ) ).
fof(t49_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  ( (! [B] :  (m2_bcialg_1(B, A) =>  (v3_bciideal(B, A) & m2_bcialg_1(B, A)) ) )  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_bcialg_1(A, B, C)=B <=> k1_bcialg_1(A, C, k1_bcialg_1(A, C, B))=k4_struct_0(A)) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_bcialg_1(A, B, C)=B => k1_bcialg_1(A, C, B)=C) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_bcialg_1(A, C, D) => k1_bcialg_1(A, k1_bcialg_1(A, D, B), k1_bcialg_1(A, D, C))=k1_bcialg_1(A, C, B)) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_bcialg_1(A, B, k1_bcialg_1(A, C, k1_bcialg_1(A, C, B)))=k1_bcialg_1(A, B, C) & k1_bcialg_1(A, k1_bcialg_1(A, B, C), k1_bcialg_1(A, k1_bcialg_1(A, B, C), B))=k1_bcialg_1(A, B, C)) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_bcialg_1(A, B, D) => k1_bcialg_1(A, k1_bcialg_1(A, D, C), k1_bcialg_1(A, k1_bcialg_1(A, D, C), k1_bcialg_1(A, D, B)))=k1_bcialg_1(A, k1_bcialg_1(A, D, C), k1_bcialg_1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (m3_bciideal(B, A) <=>  (r2_tarski(k4_struct_0(A), B) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r2_tarski(k1_bcialg_1(A, k1_bcialg_1(A, C, k1_bcialg_1(A, D, C)), E), B) & r2_tarski(E, B))  => r2_tarski(C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  (! [B] :  (m2_bcialg_1(B, A) =>  (m3_bciideal(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(k1_bcialg_1(A, C, k1_bcialg_1(A, D, C)), B) => r2_tarski(C, B)) ) ) ) ) ) ) ) ) ) ).
fof(d8_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (m4_bciideal(B, A) <=>  (r2_tarski(k4_struct_0(A), B) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r2_tarski(k1_bcialg_1(A, k1_bcialg_1(A, C, D), E), B) & r2_tarski(k1_bcialg_1(A, D, E), B))  => r2_tarski(k1_bcialg_1(A, C, E), B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  (! [B] :  (m2_bcialg_1(B, A) =>  (m4_bciideal(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(k1_bcialg_1(A, k1_bcialg_1(A, C, D), D), B) => r2_tarski(k1_bcialg_1(A, C, D), B)) ) ) ) ) ) ) ) ) ) ).
fof(t52_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  (! [B] :  (m2_bcialg_1(B, A) =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r2_tarski(k1_bcialg_1(A, k1_bcialg_1(A, C, D), E), B) & r2_tarski(k1_bcialg_1(A, D, E), B))  => r2_tarski(k1_bcialg_1(A, C, E), B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(k1_bcialg_1(A, k1_bcialg_1(A, C, D), E), B) => r2_tarski(k1_bcialg_1(A, k1_bcialg_1(A, C, E), k1_bcialg_1(A, D, E)), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  (! [B] :  (m2_bcialg_1(B, A) =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(k1_bcialg_1(A, k1_bcialg_1(A, C, D), E), B) => r2_tarski(k1_bcialg_1(A, k1_bcialg_1(A, C, E), k1_bcialg_1(A, D, E)), B)) ) ) ) ) ) )  => m4_bciideal(B, A)) ) ) ) ) ).
fof(t54_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  (! [B] :  (m2_bcialg_1(B, A) =>  (m4_bciideal(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r2_tarski(k1_bcialg_1(A, k1_bcialg_1(A, C, D), E), B) & r2_tarski(k1_bcialg_1(A, D, E), B))  => r2_tarski(k1_bcialg_1(A, C, E), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  (! [B] :  (m2_bcialg_1(B, A) =>  (m4_bciideal(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(k1_bcialg_1(A, k1_bcialg_1(A, C, D), E), B) => r2_tarski(k1_bcialg_1(A, k1_bcialg_1(A, C, E), k1_bcialg_1(A, D, E)), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  (! [B] :  (m2_bcialg_1(B, A) =>  (! [C] :  (m2_bcialg_1(C, A) =>  ( (r1_tarski(B, C) & m4_bciideal(B, A))  => m4_bciideal(C, A)) ) ) ) ) ) ) ).
fof(t57_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  (! [B] :  (m2_bcialg_1(B, A) =>  (m3_bciideal(B, A) =>  ( (v3_bciideal(B, A) & m2_bcialg_1(B, A))  & m4_bciideal(B, A)) ) ) ) ) ) ).
fof(dt_m1_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_bciideal(B, A) =>  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ).
fof(existence_m1_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (? [B] : m1_bciideal(B, A)) ) ) ).
fof(dt_m2_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m2_bciideal(B, A) =>  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ).
fof(existence_m2_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (? [B] : m2_bciideal(B, A)) ) ) ).
fof(dt_m3_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  (! [B] :  (m3_bciideal(B, A) =>  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ).
fof(existence_m3_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  (? [B] : m3_bciideal(B, A)) ) ) ).
fof(dt_m4_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  (! [B] :  (m4_bciideal(B, A) =>  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ).
fof(existence_m4_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) &  (v8_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) ) )  =>  (? [B] : m4_bciideal(B, A)) ) ) ).
fof(d1_bciideal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_bcialg_1(A) &  (v4_bcialg_1(A) &  (v5_bcialg_1(A) &  (v7_bcialg_1(A) & l2_bcialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_bciideal(A, B)=a_2_0_bciideal(A, B)) ) ) ) ).
fof(fraenkel_a_2_0_bciideal, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v3_bcialg_1(B) &  (v4_bcialg_1(B) &  (v5_bcialg_1(B) &  (v7_bcialg_1(B) & l2_bcialg_1(B)) ) ) ) )  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_2_0_bciideal(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & r1_bcialg_1(B, D, C)) ) ) ) ) ) ).
fof(rc1_bhsp_1, axiom,  (? [A] :  (l1_bhsp_1(A) & v1_bhsp_1(A)) ) ).
fof(rc2_bhsp_1, axiom,  (? [A] :  (l1_bhsp_1(A) &  ( ~ (v2_struct_0(A))  & v1_bhsp_1(A)) ) ) ).
fof(fc1_bhsp_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k1_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, A), A)))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) ) ) ) )  =>  ( ~ (v2_struct_0(g1_bhsp_1(A, B, C, D, E)))  & v1_bhsp_1(g1_bhsp_1(A, B, C, D, E))) ) ) ).
fof(rc3_bhsp_1, axiom,  (? [A] :  (l1_bhsp_1(A) &  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v1_bhsp_1(A) & v2_bhsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_bhsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_bhsp_1(A, B, C)=k3_funct_2(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers, u1_bhsp_1(A), k1_domain_1(u1_struct_0(A), u1_struct_0(A), B, C))) ) ) ) ) ) ).
fof(d2_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_bhsp_1(A))  =>  (v2_bhsp_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xreal_0(E) =>  ( (k1_bhsp_1(A, B, B)=k5_numbers => B=k4_struct_0(A))  &  ( (B=k4_struct_0(A) => k1_bhsp_1(A, B, B)=k5_numbers)  &  (r1_xxreal_0(k5_numbers, k1_bhsp_1(A, B, B)) &  (k1_bhsp_1(A, B, C)=k1_bhsp_1(A, C, B) &  (k1_bhsp_1(A, k1_algstr_0(A, B, C), D)=k2_xcmplx_0(k1_bhsp_1(A, B, D), k1_bhsp_1(A, C, D)) & k1_bhsp_1(A, k1_rlvect_1(A, B, E), C)=k3_xcmplx_0(E, k1_bhsp_1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  => k2_bhsp_1(A, k4_struct_0(A), k4_struct_0(A))=k5_numbers) ) ).
fof(t2_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_bhsp_1(A, B, k3_rlvect_1(A, C, D))=k2_xcmplx_0(k2_bhsp_1(A, B, C), k2_bhsp_1(A, B, D))) ) ) ) ) ) ) ) ).
fof(t3_bhsp_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v2_bhsp_1(B) & l1_bhsp_1(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k2_bhsp_1(B, C, k1_rlvect_1(B, D, A))=k3_xcmplx_0(A, k2_bhsp_1(B, C, D))) ) ) ) ) ) ) ) ).
fof(t4_bhsp_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v2_bhsp_1(B) & l1_bhsp_1(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k2_bhsp_1(B, k1_rlvect_1(B, C, A), D)=k2_bhsp_1(B, C, k1_rlvect_1(B, D, A))) ) ) ) ) ) ) ) ).
fof(t5_bhsp_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v2_bhsp_1(C) & l1_bhsp_1(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) => k2_bhsp_1(C, k3_rlvect_1(C, k1_rlvect_1(C, D, A), k1_rlvect_1(C, E, B)), F)=k2_xcmplx_0(k3_xcmplx_0(A, k2_bhsp_1(C, D, F)), k3_xcmplx_0(B, k2_bhsp_1(C, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_bhsp_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v2_bhsp_1(C) & l1_bhsp_1(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) => k2_bhsp_1(C, D, k3_rlvect_1(C, k1_rlvect_1(C, E, A), k1_rlvect_1(C, F, B)))=k2_xcmplx_0(k3_xcmplx_0(A, k2_bhsp_1(C, D, E)), k3_xcmplx_0(B, k2_bhsp_1(C, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_bhsp_1(A, k4_algstr_0(A, B), C)=k2_bhsp_1(A, B, k4_algstr_0(A, C))) ) ) ) ) ) ).
fof(t8_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_bhsp_1(A, k4_algstr_0(A, B), C)=k4_xcmplx_0(k2_bhsp_1(A, B, C))) ) ) ) ) ) ).
fof(t9_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_bhsp_1(A, B, k4_algstr_0(A, C))=k4_xcmplx_0(k2_bhsp_1(A, B, C))) ) ) ) ) ) ).
fof(t10_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_bhsp_1(A, k4_algstr_0(A, B), k4_algstr_0(A, C))=k2_bhsp_1(A, B, C)) ) ) ) ) ) ).
fof(t11_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_bhsp_1(A, k5_algstr_0(A, B, C), D)=k6_xcmplx_0(k2_bhsp_1(A, B, D), k2_bhsp_1(A, C, D))) ) ) ) ) ) ) ) ).
fof(t12_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_bhsp_1(A, B, k5_algstr_0(A, C, D))=k6_xcmplx_0(k2_bhsp_1(A, B, C), k2_bhsp_1(A, B, D))) ) ) ) ) ) ) ) ).
fof(t13_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k2_bhsp_1(A, k5_algstr_0(A, B, C), k5_algstr_0(A, D, E))=k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k2_bhsp_1(A, B, D), k2_bhsp_1(A, B, E)), k2_bhsp_1(A, C, D)), k2_bhsp_1(A, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t14_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_bhsp_1(A, k4_struct_0(A), B)=k5_numbers) ) ) ) ).
fof(t15_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_bhsp_1(A, B, k4_struct_0(A))=k5_numbers) ) ) ) ).
fof(t16_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_bhsp_1(A, k3_rlvect_1(A, B, C), k3_rlvect_1(A, B, C))=k2_xcmplx_0(k2_xcmplx_0(k2_bhsp_1(A, B, B), k3_xcmplx_0(2, k2_bhsp_1(A, B, C))), k2_bhsp_1(A, C, C))) ) ) ) ) ) ).
fof(t17_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_bhsp_1(A, k3_rlvect_1(A, B, C), k5_algstr_0(A, B, C))=k6_xcmplx_0(k2_bhsp_1(A, B, B), k2_bhsp_1(A, C, C))) ) ) ) ) ) ).
fof(t18_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_bhsp_1(A, k5_algstr_0(A, B, C), k5_algstr_0(A, B, C))=k2_xcmplx_0(k6_xcmplx_0(k2_bhsp_1(A, B, B), k3_xcmplx_0(2, k2_bhsp_1(A, B, C))), k2_bhsp_1(A, C, C))) ) ) ) ) ) ).
fof(t19_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_xxreal_0(k9_complex1(k2_bhsp_1(A, B, C)), k3_xcmplx_0(k3_square_1(k2_bhsp_1(A, B, B)), k3_square_1(k2_bhsp_1(A, C, C))))) ) ) ) ) ) ).
fof(d3_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_bhsp_1(A, B, C) <=> k2_bhsp_1(A, B, C)=k5_numbers) ) ) ) ) ) ) ).
fof(t20_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_bhsp_1(A, B, C) => r1_bhsp_1(A, B, k4_algstr_0(A, C))) ) ) ) ) ) ) ).
fof(t21_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_bhsp_1(A, B, C) => r1_bhsp_1(A, k4_algstr_0(A, B), C)) ) ) ) ) ) ) ).
fof(t22_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_bhsp_1(A, B, C) => r1_bhsp_1(A, k4_algstr_0(A, B), k4_algstr_0(A, C))) ) ) ) ) ) ) ).
fof(t23_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_bhsp_1(A, B, k4_struct_0(A))) ) ) ) ).
fof(t24_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_bhsp_1(A, B, C) => k2_bhsp_1(A, k3_rlvect_1(A, B, C), k3_rlvect_1(A, B, C))=k2_xcmplx_0(k2_bhsp_1(A, B, B), k2_bhsp_1(A, C, C))) ) ) ) ) ) ) ).
fof(t25_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_bhsp_1(A, B, C) => k2_bhsp_1(A, k5_algstr_0(A, B, C), k5_algstr_0(A, B, C))=k2_xcmplx_0(k2_bhsp_1(A, B, B), k2_bhsp_1(A, C, C))) ) ) ) ) ) ) ).
fof(d4_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k3_bhsp_1(A, B)=k3_square_1(k2_bhsp_1(A, B, B))) ) ) ) ).
fof(t26_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k3_bhsp_1(A, B)=k5_numbers <=> B=k4_struct_0(A)) ) ) ) ) ).
fof(t27_bhsp_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v2_bhsp_1(B) & l1_bhsp_1(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k3_bhsp_1(B, k1_rlvect_1(B, C, A))=k3_xcmplx_0(k9_complex1(A), k3_bhsp_1(B, C))) ) ) ) ) ) ).
fof(t28_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_xxreal_0(k5_numbers, k3_bhsp_1(A, B))) ) ) ) ).
fof(t29_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_xxreal_0(k9_complex1(k2_bhsp_1(A, B, C)), k3_xcmplx_0(k3_bhsp_1(A, B), k3_bhsp_1(A, C)))) ) ) ) ) ) ).
fof(t30_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_xxreal_0(k3_bhsp_1(A, k3_rlvect_1(A, B, C)), k2_xcmplx_0(k3_bhsp_1(A, B), k3_bhsp_1(A, C)))) ) ) ) ) ) ).
fof(t31_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k3_bhsp_1(A, k4_algstr_0(A, B))=k3_bhsp_1(A, B)) ) ) ) ).
fof(t32_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_xxreal_0(k6_xcmplx_0(k3_bhsp_1(A, B), k3_bhsp_1(A, C)), k3_bhsp_1(A, k5_algstr_0(A, B, C)))) ) ) ) ) ) ).
fof(t33_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k3_bhsp_1(A, B), k3_bhsp_1(A, C))), k3_bhsp_1(A, k5_algstr_0(A, B, C)))) ) ) ) ) ) ).
fof(d5_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_bhsp_1(A, B, C)=k3_bhsp_1(A, k5_algstr_0(A, B, C))) ) ) ) ) ) ).
fof(t34_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k4_bhsp_1(A, B, B)=k5_numbers) ) ) ) ).
fof(t35_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_xxreal_0(k4_bhsp_1(A, B, D), k2_xcmplx_0(k4_bhsp_1(A, B, C), k4_bhsp_1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t36_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ ( ( ~ (B=C)  & k4_bhsp_1(A, B, C)=k5_numbers) )  &  ~ ( ( ~ (k4_bhsp_1(A, B, C)=k5_numbers)  & B=C) ) ) ) ) ) ) ) ) ).
fof(t37_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_xxreal_0(k5_numbers, k4_bhsp_1(A, B, C))) ) ) ) ) ) ).
fof(t38_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ ( ( ~ (B=C)  & r1_xxreal_0(k4_bhsp_1(A, B, C), k5_numbers)) )  &  ~ ( ( ~ (r1_xxreal_0(k4_bhsp_1(A, B, C), k5_numbers))  & B=C) ) ) ) ) ) ) ) ) ).
fof(t39_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_bhsp_1(A, B, C)=k3_square_1(k2_bhsp_1(A, k5_algstr_0(A, B, C), k5_algstr_0(A, B, C)))) ) ) ) ) ) ).
fof(t40_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => r1_xxreal_0(k4_bhsp_1(A, k3_rlvect_1(A, B, C), k3_rlvect_1(A, D, E)), k2_xcmplx_0(k4_bhsp_1(A, B, D), k4_bhsp_1(A, C, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t41_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => r1_xxreal_0(k4_bhsp_1(A, k5_algstr_0(A, B, C), k5_algstr_0(A, D, E)), k2_xcmplx_0(k4_bhsp_1(A, B, D), k4_bhsp_1(A, C, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t42_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k4_bhsp_1(A, k5_algstr_0(A, B, D), k5_algstr_0(A, C, D))=k4_bhsp_1(A, B, C)) ) ) ) ) ) ) ) ).
fof(t43_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_xxreal_0(k4_bhsp_1(A, k5_algstr_0(A, B, D), k5_algstr_0(A, C, D)), k2_xcmplx_0(k4_bhsp_1(A, D, B), k4_bhsp_1(A, D, C)))) ) ) ) ) ) ) ) ).
fof(d6_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (D=k5_bhsp_1(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) => k8_nat_1(u1_struct_0(A), D, E)=k1_algstr_0(A, k8_nat_1(u1_struct_0(A), B, E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_bhsp_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_algstr_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  => k8_nat_1(u1_struct_0(B), k5_vfunct_1(k4_ordinal1, B, C), A)=k4_algstr_0(B, k8_nat_1(u1_struct_0(B), C, A))) ) ) ) ) ) ).
fof(t45_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k6_bhsp_1(A, B, k6_bhsp_1(A, C, D)), k6_bhsp_1(A, k6_bhsp_1(A, B, C), D))) ) ) ) ) ) ) ) ).
fof(t46_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v3_funct_1(B) & v3_funct_1(C))  => v3_funct_1(k6_bhsp_1(A, B, C))) ) ) ) ) ) ) ).
fof(t47_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v3_funct_1(B) & v3_funct_1(C))  => v3_funct_1(k2_normsp_1(A, B, C))) ) ) ) ) ) ) ).
fof(t48_bhsp_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v2_bhsp_1(B) & l1_bhsp_1(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  (v3_funct_1(C) => v3_funct_1(k4_normsp_1(B, C, A))) ) ) ) ) ) ) ).
fof(t49_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k2_normsp_1(A, B, C), k6_bhsp_1(A, B, k5_vfunct_1(k4_ordinal1, A, C)))) ) ) ) ) ) ).
fof(t50_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), B, k5_bhsp_1(A, B, k4_struct_0(A)))) ) ) ) ).
fof(t51_bhsp_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v2_bhsp_1(B) & l1_bhsp_1(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(B), k4_normsp_1(B, k6_bhsp_1(B, C, D), A), k6_bhsp_1(B, k4_normsp_1(B, C, A), k4_normsp_1(B, D, A)))) ) ) ) ) ) ) ) ).
fof(t52_bhsp_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v2_bhsp_1(C) & l1_bhsp_1(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(C))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(C), k4_normsp_1(C, D, k2_xcmplx_0(A, B)), k6_bhsp_1(C, k4_normsp_1(C, D, A), k4_normsp_1(C, D, B)))) ) ) ) ) ) ) ) ).
fof(t53_bhsp_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v2_bhsp_1(C) & l1_bhsp_1(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(C))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(C), k4_normsp_1(C, D, k3_xcmplx_0(A, B)), k4_normsp_1(C, k4_normsp_1(C, D, B), A))) ) ) ) ) ) ) ) ).
fof(t54_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k4_normsp_1(A, B, 1), B)) ) ) ) ).
fof(t55_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k4_normsp_1(A, B, k4_xcmplx_0(1)), k5_vfunct_1(k4_ordinal1, A, B))) ) ) ) ).
fof(t56_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k3_normsp_1(A, C, B), k5_bhsp_1(A, C, k4_algstr_0(A, B)))) ) ) ) ) ) ).
fof(t57_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k2_normsp_1(A, B, C), k5_vfunct_1(k4_ordinal1, A, k2_normsp_1(A, C, B)))) ) ) ) ) ) ).
fof(t58_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), B, k3_normsp_1(A, B, k4_struct_0(A)))) ) ) ) ).
fof(t59_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), B, k5_vfunct_1(k4_ordinal1, A, k5_vfunct_1(k4_ordinal1, A, B)))) ) ) ) ).
fof(t60_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k2_normsp_1(A, B, k6_bhsp_1(A, C, D)), k2_normsp_1(A, k2_normsp_1(A, B, C), D))) ) ) ) ) ) ) ) ).
fof(t61_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k2_normsp_1(A, k6_bhsp_1(A, B, C), D), k6_bhsp_1(A, B, k2_normsp_1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t62_bhsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k2_normsp_1(A, B, k2_normsp_1(A, C, D)), k6_bhsp_1(A, k2_normsp_1(A, B, C), D))) ) ) ) ) ) ) ) ).
fof(t63_bhsp_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v2_bhsp_1(B) & l1_bhsp_1(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(B), k4_normsp_1(B, k2_normsp_1(B, C, D), A), k2_normsp_1(B, k4_normsp_1(B, C, A), k4_normsp_1(B, D, A)))) ) ) ) ) ) ) ) ).
fof(abstractness_v1_bhsp_1, axiom,  (! [A] :  (l1_bhsp_1(A) =>  (v1_bhsp_1(A) => A=g1_bhsp_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_rlvect_1(A), u1_bhsp_1(A))) ) ) ).
fof(dt_l1_bhsp_1, axiom,  (! [A] :  (l1_bhsp_1(A) => l1_rlvect_1(A)) ) ).
fof(existence_l1_bhsp_1, axiom,  (? [A] : l1_bhsp_1(A)) ).
fof(dt_g1_bhsp_1, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(B, A) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k1_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, A), A)))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) ) ) )  =>  (v1_bhsp_1(g1_bhsp_1(A, B, C, D, E)) & l1_bhsp_1(g1_bhsp_1(A, B, C, D, E))) ) ) ).
fof(free_g1_bhsp_1, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(B, A) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k1_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, A), A)))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) ) ) )  =>  (! [F, G, H, I, J] :  (g1_bhsp_1(A, B, C, D, E)=g1_bhsp_1(F, G, H, I, J) =>  (A=F &  (B=G &  (C=H &  (D=I & E=J) ) ) ) ) ) ) ) ).
fof(dt_u1_bhsp_1, axiom,  (! [A] :  (l1_bhsp_1(A) =>  (v1_funct_1(u1_bhsp_1(A)) &  (v1_funct_2(u1_bhsp_1(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers) & m1_subset_1(u1_bhsp_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers)))) ) ) ) ).
fof(dt_k1_bhsp_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_bhsp_1(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => v1_xreal_0(k1_bhsp_1(A, B, C))) ) ).
fof(dt_k2_bhsp_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => v1_xreal_0(k2_bhsp_1(A, B, C))) ) ).
fof(commutativity_k2_bhsp_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k2_bhsp_1(A, B, C)=k2_bhsp_1(A, C, B)) ) ).
fof(redefinition_k2_bhsp_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k2_bhsp_1(A, B, C)=k1_bhsp_1(A, B, C)) ) ).
fof(symmetry_r1_bhsp_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r1_bhsp_1(A, B, C) => r1_bhsp_1(A, C, B)) ) ) ).
fof(dt_k3_bhsp_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => v1_xreal_0(k3_bhsp_1(A, B))) ) ).
fof(dt_k4_bhsp_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => v1_xreal_0(k4_bhsp_1(A, B, C))) ) ).
fof(commutativity_k4_bhsp_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k4_bhsp_1(A, B, C)=k4_bhsp_1(A, C, B)) ) ).
fof(dt_k5_bhsp_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  & m1_subset_1(C, u1_struct_0(A))) )  =>  (v1_funct_1(k5_bhsp_1(A, B, C)) &  (v1_funct_2(k5_bhsp_1(A, B, C), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k5_bhsp_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(dt_k6_bhsp_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (v1_funct_1(k6_bhsp_1(A, B, C)) &  (v1_funct_2(k6_bhsp_1(A, B, C), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k6_bhsp_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(commutativity_k6_bhsp_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  => k6_bhsp_1(A, B, C)=k6_bhsp_1(A, C, B)) ) ).
fof(redefinition_k6_bhsp_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  => k6_bhsp_1(A, B, C)=k1_normsp_1(A, B, C)) ) ).
fof(cc1_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) =>  ( (v1_funct_1(B) &  (v3_funct_1(B) & v1_funct_2(B, k4_ordinal1, u1_struct_0(A))) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & v1_bhsp_2(B, A)) ) ) ) ) ) ) ).
fof(d1_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_bhsp_2(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v7_ordinal1(E) =>  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(E, F) & r1_xxreal_0(D, k4_bhsp_1(A, k8_nat_1(u1_struct_0(A), B, F), C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v3_funct_1(B) => v1_bhsp_2(B, A)) ) ) ) ) ).
fof(t2_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_bhsp_2(B, A) =>  ( (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  (r1_xxreal_0(D, E) &  ~ (k8_nat_1(u1_struct_0(A), C, E)=k8_nat_1(u1_struct_0(A), B, E)) ) ) ) ) )  | v1_bhsp_2(C, A)) ) ) ) ) ) ) ) ).
fof(t3_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_bhsp_2(B, A) & v1_bhsp_2(C, A))  => v1_bhsp_2(k1_normsp_1(A, B, C), A)) ) ) ) ) ) ) ).
fof(t4_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_bhsp_2(B, A) & v1_bhsp_2(C, A))  => v1_bhsp_2(k2_normsp_1(A, B, C), A)) ) ) ) ) ) ) ).
fof(t5_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_bhsp_2(C, A) => v1_bhsp_2(k4_normsp_1(A, C, B), A)) ) ) ) ) ) ) ).
fof(t6_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_bhsp_2(B, A) => v1_bhsp_2(k5_vfunct_1(k4_ordinal1, A, B), A)) ) ) ) ) ).
fof(t7_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_bhsp_2(C, A) => v1_bhsp_2(k5_bhsp_1(A, C, B), A)) ) ) ) ) ) ) ).
fof(t8_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_bhsp_2(C, A) => v1_bhsp_2(k3_normsp_1(A, C, B), A)) ) ) ) ) ) ) ).
fof(t9_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_bhsp_2(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v7_ordinal1(E) =>  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(E, F) & r1_xxreal_0(D, k3_bhsp_1(A, k5_algstr_0(A, k8_nat_1(u1_struct_0(A), B, F), C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_bhsp_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (C=k1_bhsp_2(A, B) <=>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v7_ordinal1(E) =>  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(E, F) & r1_xxreal_0(D, k4_bhsp_1(A, k8_nat_1(u1_struct_0(A), B, F), C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v3_funct_1(C) & r2_tarski(B, k10_xtuple_0(C)))  => k1_bhsp_2(A, C)=B) ) ) ) ) ) ) ).
fof(t11_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v3_funct_1(C) =>  ( (! [D] :  (v7_ordinal1(D) =>  ~ (k8_nat_1(u1_struct_0(A), C, D)=B) ) )  | k1_bhsp_2(A, C)=B) ) ) ) ) ) ) ) ).
fof(t12_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_bhsp_2(B, A) =>  ( (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  (r1_xxreal_0(D, E) &  ~ (k8_nat_1(u1_struct_0(A), C, E)=k8_nat_1(u1_struct_0(A), B, E)) ) ) ) ) )  | k1_bhsp_2(A, B)=k1_bhsp_2(A, C)) ) ) ) ) ) ) ) ).
fof(t13_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_bhsp_2(B, A) & v1_bhsp_2(C, A))  => k1_bhsp_2(A, k1_normsp_1(A, B, C))=k3_rlvect_1(A, k1_bhsp_2(A, B), k1_bhsp_2(A, C))) ) ) ) ) ) ) ).
fof(t14_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_bhsp_2(B, A) & v1_bhsp_2(C, A))  => k1_bhsp_2(A, k2_normsp_1(A, B, C))=k5_algstr_0(A, k1_bhsp_2(A, B), k1_bhsp_2(A, C))) ) ) ) ) ) ) ).
fof(t15_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_bhsp_2(C, A) => k1_bhsp_2(A, k4_normsp_1(A, C, B))=k1_rlvect_1(A, k1_bhsp_2(A, C), B)) ) ) ) ) ) ) ).
fof(t16_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_bhsp_2(B, A) => k1_bhsp_2(A, k5_vfunct_1(k4_ordinal1, A, B))=k4_algstr_0(A, k1_bhsp_2(A, B))) ) ) ) ) ).
fof(t17_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_bhsp_2(C, A) => k1_bhsp_2(A, k5_bhsp_1(A, C, B))=k3_rlvect_1(A, k1_bhsp_2(A, C), B)) ) ) ) ) ) ) ).
fof(t18_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_bhsp_2(C, A) => k1_bhsp_2(A, k3_normsp_1(A, C, B))=k5_algstr_0(A, k1_bhsp_2(A, C), B)) ) ) ) ) ) ) ).
fof(t19_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_bhsp_2(C, A) =>  (k1_bhsp_2(A, C)=B <=>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v7_ordinal1(E) =>  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(E, F) & r1_xxreal_0(D, k3_bhsp_1(A, k5_algstr_0(A, k8_nat_1(u1_struct_0(A), C, F), B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (C=k2_bhsp_2(A, B) <=>  (! [D] :  (v7_ordinal1(D) => k8_nat_1(k1_numbers, C, D)=k3_bhsp_1(A, k8_nat_1(u1_struct_0(A), B, D))) ) ) ) ) ) ) ) ) ).
fof(t20_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_bhsp_2(B, A) => v2_comseq_2(k2_bhsp_2(A, B))) ) ) ) ) ).
fof(t21_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_bhsp_2(C, A) & k1_bhsp_2(A, C)=B)  =>  (v2_comseq_2(k2_bhsp_2(A, C)) & k1_seq_2(k2_bhsp_2(A, C))=k3_bhsp_1(A, B)) ) ) ) ) ) ) ) ).
fof(t22_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_bhsp_2(C, A) & k1_bhsp_2(A, C)=B)  =>  (v2_comseq_2(k2_bhsp_2(A, k3_normsp_1(A, C, B))) & k1_seq_2(k2_bhsp_2(A, k3_normsp_1(A, C, B)))=k5_numbers) ) ) ) ) ) ) ) ).
fof(d4_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (D=k3_bhsp_2(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) => k8_nat_1(k1_numbers, D, E)=k4_bhsp_1(A, k8_nat_1(u1_struct_0(A), B, E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_bhsp_2(C, A) & k1_bhsp_2(A, C)=B)  => v2_comseq_2(k3_bhsp_2(A, C, B))) ) ) ) ) ) ) ).
fof(t24_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_bhsp_2(C, A) & k1_bhsp_2(A, C)=B)  =>  (v2_comseq_2(k3_bhsp_2(A, C, B)) & k1_seq_2(k3_bhsp_2(A, C, B))=k5_numbers) ) ) ) ) ) ) ) ).
fof(t25_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_bhsp_2(D, A) &  (k1_bhsp_2(A, D)=B &  (v1_bhsp_2(E, A) & k1_bhsp_2(A, E)=C) ) )  =>  (v2_comseq_2(k2_bhsp_2(A, k1_normsp_1(A, D, E))) & k1_seq_2(k2_bhsp_2(A, k1_normsp_1(A, D, E)))=k3_bhsp_1(A, k3_rlvect_1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_bhsp_2(D, A) &  (k1_bhsp_2(A, D)=B &  (v1_bhsp_2(E, A) & k1_bhsp_2(A, E)=C) ) )  =>  (v2_comseq_2(k2_bhsp_2(A, k3_normsp_1(A, k1_normsp_1(A, D, E), k3_rlvect_1(A, B, C)))) & k1_seq_2(k2_bhsp_2(A, k3_normsp_1(A, k1_normsp_1(A, D, E), k3_rlvect_1(A, B, C))))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_bhsp_2(D, A) &  (k1_bhsp_2(A, D)=B &  (v1_bhsp_2(E, A) & k1_bhsp_2(A, E)=C) ) )  =>  (v2_comseq_2(k2_bhsp_2(A, k2_normsp_1(A, D, E))) & k1_seq_2(k2_bhsp_2(A, k2_normsp_1(A, D, E)))=k3_bhsp_1(A, k5_algstr_0(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_bhsp_2(D, A) &  (k1_bhsp_2(A, D)=B &  (v1_bhsp_2(E, A) & k1_bhsp_2(A, E)=C) ) )  =>  (v2_comseq_2(k2_bhsp_2(A, k3_normsp_1(A, k2_normsp_1(A, D, E), k5_algstr_0(A, B, C)))) & k1_seq_2(k2_bhsp_2(A, k3_normsp_1(A, k2_normsp_1(A, D, E), k5_algstr_0(A, B, C))))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_bhsp_2(D, A) & k1_bhsp_2(A, D)=B)  =>  (v2_comseq_2(k2_bhsp_2(A, k4_normsp_1(A, D, C))) & k1_seq_2(k2_bhsp_2(A, k4_normsp_1(A, D, C)))=k3_bhsp_1(A, k1_rlvect_1(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t30_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_bhsp_2(D, A) & k1_bhsp_2(A, D)=B)  =>  (v2_comseq_2(k2_bhsp_2(A, k3_normsp_1(A, k4_normsp_1(A, D, C), k1_rlvect_1(A, B, C)))) & k1_seq_2(k2_bhsp_2(A, k3_normsp_1(A, k4_normsp_1(A, D, C), k1_rlvect_1(A, B, C))))=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t31_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_bhsp_2(C, A) & k1_bhsp_2(A, C)=B)  =>  (v2_comseq_2(k2_bhsp_2(A, k5_vfunct_1(k4_ordinal1, A, C))) & k1_seq_2(k2_bhsp_2(A, k5_vfunct_1(k4_ordinal1, A, C)))=k3_bhsp_1(A, k4_algstr_0(A, B))) ) ) ) ) ) ) ) ).
fof(t32_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_bhsp_2(C, A) & k1_bhsp_2(A, C)=B)  =>  (v2_comseq_2(k2_bhsp_2(A, k3_normsp_1(A, k5_vfunct_1(k4_ordinal1, A, C), k4_algstr_0(A, B)))) & k1_seq_2(k2_bhsp_2(A, k3_normsp_1(A, k5_vfunct_1(k4_ordinal1, A, C), k4_algstr_0(A, B))))=k5_numbers) ) ) ) ) ) ) ) ).
fof(t33_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_bhsp_2(D, A) & k1_bhsp_2(A, D)=C)  =>  (v2_comseq_2(k2_bhsp_2(A, k3_normsp_1(A, k5_bhsp_1(A, D, B), k3_rlvect_1(A, C, B)))) & k1_seq_2(k2_bhsp_2(A, k3_normsp_1(A, k5_bhsp_1(A, D, B), k3_rlvect_1(A, C, B))))=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t34_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_bhsp_2(D, A) & k1_bhsp_2(A, D)=C)  =>  (v2_comseq_2(k2_bhsp_2(A, k3_normsp_1(A, D, B))) & k1_seq_2(k2_bhsp_2(A, k3_normsp_1(A, D, B)))=k3_bhsp_1(A, k5_algstr_0(A, C, B))) ) ) ) ) ) ) ) ) ) ).
fof(t35_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_bhsp_2(D, A) & k1_bhsp_2(A, D)=C)  =>  (v2_comseq_2(k2_bhsp_2(A, k3_normsp_1(A, k3_normsp_1(A, D, B), k5_algstr_0(A, C, B)))) & k1_seq_2(k2_bhsp_2(A, k3_normsp_1(A, k3_normsp_1(A, D, B), k5_algstr_0(A, C, B))))=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t36_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_bhsp_2(D, A) &  (k1_bhsp_2(A, D)=B &  (v1_bhsp_2(E, A) & k1_bhsp_2(A, E)=C) ) )  =>  (v2_comseq_2(k3_bhsp_2(A, k1_normsp_1(A, D, E), k3_rlvect_1(A, B, C))) & k1_seq_2(k3_bhsp_2(A, k1_normsp_1(A, D, E), k3_rlvect_1(A, B, C)))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_bhsp_2(D, A) &  (k1_bhsp_2(A, D)=B &  (v1_bhsp_2(E, A) & k1_bhsp_2(A, E)=C) ) )  =>  (v2_comseq_2(k3_bhsp_2(A, k2_normsp_1(A, D, E), k5_algstr_0(A, B, C))) & k1_seq_2(k3_bhsp_2(A, k2_normsp_1(A, D, E), k5_algstr_0(A, B, C)))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_bhsp_2(D, A) & k1_bhsp_2(A, D)=B)  =>  (v2_comseq_2(k3_bhsp_2(A, k4_normsp_1(A, D, C), k1_rlvect_1(A, B, C))) & k1_seq_2(k3_bhsp_2(A, k4_normsp_1(A, D, C), k1_rlvect_1(A, B, C)))=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t39_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_bhsp_2(D, A) & k1_bhsp_2(A, D)=C)  =>  (v2_comseq_2(k3_bhsp_2(A, k5_bhsp_1(A, D, B), k3_rlvect_1(A, C, B))) & k1_seq_2(k3_bhsp_2(A, k5_bhsp_1(A, D, B), k3_rlvect_1(A, C, B)))=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t40_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (r2_tarski(C, k4_bhsp_2(A, B, D)) <=>  ~ (r1_xxreal_0(D, k3_bhsp_1(A, k5_algstr_0(A, B, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t41_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (r2_tarski(C, k4_bhsp_2(A, B, D)) <=>  ~ (r1_xxreal_0(D, k4_bhsp_1(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t42_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  => r2_tarski(B, k4_bhsp_2(A, B, C))) ) ) ) ) ) ) ).
fof(t43_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_tarski(C, k4_bhsp_2(A, B, E)) &  (r2_tarski(D, k4_bhsp_2(A, B, E)) & r1_xxreal_0(k3_xcmplx_0(2, E), k4_bhsp_1(A, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xreal_0(E) =>  (r2_tarski(C, k4_bhsp_2(A, B, E)) => r2_tarski(k5_algstr_0(A, C, D), k4_bhsp_2(A, k5_algstr_0(A, B, D), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (r2_tarski(C, k4_bhsp_2(A, B, D)) => r2_tarski(k5_algstr_0(A, C, B), k4_bhsp_2(A, k4_struct_0(A), D))) ) ) ) ) ) ) ) ) ).
fof(t46_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ( (r2_tarski(C, k4_bhsp_2(A, B, E)) & r1_xxreal_0(E, D))  => r2_tarski(C, k4_bhsp_2(A, B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (r2_tarski(C, k5_bhsp_2(A, B, D)) <=> r1_xxreal_0(k3_bhsp_1(A, k5_algstr_0(A, B, C)), D)) ) ) ) ) ) ) ) ) ).
fof(t48_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (r2_tarski(C, k5_bhsp_2(A, B, D)) <=> r1_xxreal_0(k4_bhsp_1(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t49_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) =>  (r1_xxreal_0(k5_numbers, C) => r2_tarski(B, k5_bhsp_2(A, B, C))) ) ) ) ) ) ) ).
fof(t50_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (r2_tarski(C, k4_bhsp_2(A, B, D)) => r2_tarski(C, k5_bhsp_2(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t51_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (r2_tarski(C, k6_bhsp_2(A, B, D)) <=> k3_bhsp_1(A, k5_algstr_0(A, B, C))=D) ) ) ) ) ) ) ) ) ).
fof(t52_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (r2_tarski(C, k6_bhsp_2(A, B, D)) <=> k4_bhsp_1(A, B, C)=D) ) ) ) ) ) ) ) ) ).
fof(t53_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (r2_tarski(C, k6_bhsp_2(A, B, D)) => r2_tarski(C, k5_bhsp_2(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t54_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) => r1_tarski(k4_bhsp_2(A, B, C), k5_bhsp_2(A, B, C))) ) ) ) ) ) ).
fof(t55_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) => r1_tarski(k6_bhsp_2(A, B, C), k5_bhsp_2(A, B, C))) ) ) ) ) ) ).
fof(t56_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) => k4_subset_1(u1_struct_0(A), k4_bhsp_2(A, B, C), k6_bhsp_2(A, B, C))=k5_bhsp_2(A, B, C)) ) ) ) ) ) ).
fof(dt_k1_bhsp_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => m1_subset_1(k1_bhsp_2(A, B), u1_struct_0(A))) ) ).
fof(dt_k2_bhsp_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (v1_funct_1(k2_bhsp_2(A, B)) &  (v1_funct_2(k2_bhsp_2(A, B), k4_ordinal1, k1_numbers) & m1_subset_1(k2_bhsp_2(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k3_bhsp_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  & m1_subset_1(C, u1_struct_0(A))) )  =>  (v1_funct_1(k3_bhsp_2(A, B, C)) &  (v1_funct_2(k3_bhsp_2(A, B, C), k4_ordinal1, k1_numbers) & m1_subset_1(k3_bhsp_2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k4_bhsp_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & v1_xreal_0(C)) )  => m1_subset_1(k4_bhsp_2(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k5_bhsp_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & v1_xreal_0(C)) )  => m1_subset_1(k5_bhsp_2(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k6_bhsp_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & v1_xreal_0(C)) )  => m1_subset_1(k6_bhsp_2(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(d5_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) => k4_bhsp_2(A, B, C)=a_3_0_bhsp_2(A, B, C)) ) ) ) ) ) ).
fof(d6_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) => k5_bhsp_2(A, B, C)=a_3_1_bhsp_2(A, B, C)) ) ) ) ) ) ).
fof(d7_bhsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) => k6_bhsp_2(A, B, C)=a_3_2_bhsp_2(A, B, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_bhsp_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v2_bhsp_1(B) & l1_bhsp_1(B)) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_0_bhsp_2(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E &  ~ (r1_xxreal_0(D, k3_bhsp_1(B, k5_algstr_0(B, C, E)))) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_bhsp_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v2_bhsp_1(B) & l1_bhsp_1(B)) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_1_bhsp_2(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E & r1_xxreal_0(k3_bhsp_1(B, k5_algstr_0(B, C, E)), D)) ) ) ) ) ) ).
fof(fraenkel_a_3_2_bhsp_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v2_bhsp_1(B) & l1_bhsp_1(B)) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_2_bhsp_2(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E & k3_bhsp_1(B, k5_algstr_0(B, C, E))=D) ) ) ) ) ) ).
fof(rc1_bhsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v3_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, k4_ordinal1) & v1_funct_2(B, k4_ordinal1, u1_struct_0(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_bhsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) =>  ( (v1_funct_1(B) &  (v3_funct_1(B) & v1_funct_2(B, k4_ordinal1, u1_struct_0(A))) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & v1_bhsp_3(B, A)) ) ) ) ) ) ) ).
fof(fc1_bhsp_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_bhsp_3(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_bhsp_3(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k1_normsp_1(A, B, C)) &  (v1_funct_2(k1_normsp_1(A, B, C), k4_ordinal1, u1_struct_0(A)) & v1_bhsp_3(k1_normsp_1(A, B, C), A)) ) ) ) ).
fof(fc2_bhsp_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_bhsp_3(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_bhsp_3(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k2_normsp_1(A, B, C)) &  (v1_funct_2(k2_normsp_1(A, B, C), k4_ordinal1, u1_struct_0(A)) & v1_bhsp_3(k2_normsp_1(A, B, C), A)) ) ) ) ).
fof(fc3_bhsp_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  (v1_xreal_0(B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_bhsp_3(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k4_normsp_1(A, C, B)) &  (v1_funct_2(k4_normsp_1(A, C, B), k4_ordinal1, u1_struct_0(A)) & v1_bhsp_3(k4_normsp_1(A, C, B), A)) ) ) ) ).
fof(fc4_bhsp_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_bhsp_3(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (v1_funct_1(k5_vfunct_1(k4_ordinal1, A, B)) & v1_bhsp_3(k5_vfunct_1(k4_ordinal1, A, B), A)) ) ) ).
fof(fc5_bhsp_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_bhsp_3(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k5_bhsp_1(A, C, B)) &  (v1_funct_2(k5_bhsp_1(A, C, B), k4_ordinal1, u1_struct_0(A)) & v1_bhsp_3(k5_bhsp_1(A, C, B), A)) ) ) ) ).
fof(fc6_bhsp_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_bhsp_3(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k3_normsp_1(A, C, B)) &  (v1_funct_2(k3_normsp_1(A, C, B), k4_ordinal1, u1_struct_0(A)) & v1_bhsp_3(k3_normsp_1(A, C, B), A)) ) ) ) ).
fof(cc2_bhsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & v1_bhsp_2(B, A)) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & v1_bhsp_3(B, A)) ) ) ) ) ) ) ).
fof(cc3_bhsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) =>  ( (v1_funct_1(B) &  (v3_funct_1(B) & v1_funct_2(B, k4_ordinal1, u1_struct_0(A))) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & v2_bhsp_3(B, A)) ) ) ) ) ) ) ).
fof(fc7_bhsp_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v2_bhsp_3(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v2_bhsp_3(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k1_normsp_1(A, B, C)) &  (v1_funct_2(k1_normsp_1(A, B, C), k4_ordinal1, u1_struct_0(A)) & v2_bhsp_3(k1_normsp_1(A, B, C), A)) ) ) ) ).
fof(fc8_bhsp_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v2_bhsp_3(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (v1_funct_1(k5_vfunct_1(k4_ordinal1, A, B)) & v2_bhsp_3(k5_vfunct_1(k4_ordinal1, A, B), A)) ) ) ).
fof(fc9_bhsp_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v2_bhsp_3(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v2_bhsp_3(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k2_normsp_1(A, B, C)) &  (v1_funct_2(k2_normsp_1(A, B, C), k4_ordinal1, u1_struct_0(A)) & v2_bhsp_3(k2_normsp_1(A, B, C), A)) ) ) ) ).
fof(fc10_bhsp_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  (v1_xreal_0(B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v2_bhsp_3(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k4_normsp_1(A, C, B)) &  (v1_funct_2(k4_normsp_1(A, C, B), k4_ordinal1, u1_struct_0(A)) & v2_bhsp_3(k4_normsp_1(A, C, B), A)) ) ) ) ).
fof(cc4_bhsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & v1_bhsp_2(B, A)) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & v2_bhsp_3(B, A)) ) ) ) ) ) ) ).
fof(cc5_bhsp_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v2_bhsp_3(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (! [C] :  (m1_valued_0(C, B) => v2_bhsp_3(C, A)) ) ) ) ).
fof(cc6_bhsp_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_bhsp_2(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (! [C] :  (m1_valued_0(C, B) => v1_bhsp_2(C, A)) ) ) ) ).
fof(cc7_bhsp_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_bhsp_3(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (! [C] :  (m1_valued_0(C, B) => v1_bhsp_3(C, A)) ) ) ) ).
fof(d1_bhsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_bhsp_3(B, A) <=>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(D, F) & r1_xxreal_0(C, k4_bhsp_1(A, k8_nat_1(u1_struct_0(A), B, E), k8_nat_1(u1_struct_0(A), B, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_bhsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_bhsp_3(B, A) <=>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(D, F) & r1_xxreal_0(C, k3_bhsp_1(A, k5_algstr_0(A, k8_nat_1(u1_struct_0(A), B, E), k8_nat_1(u1_struct_0(A), B, F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_bhsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (r1_bhsp_3(A, B, C) <=>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v7_ordinal1(E) =>  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(E, F) & r1_xxreal_0(D, k4_bhsp_1(A, k8_nat_1(u1_struct_0(A), B, F), k8_nat_1(u1_struct_0(A), C, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_bhsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (r1_bhsp_3(A, B, C) & r1_bhsp_3(A, C, D))  => r1_bhsp_3(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t13_bhsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (r1_bhsp_3(A, B, C) <=>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v7_ordinal1(E) =>  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(E, F) & r1_xxreal_0(D, k3_bhsp_1(A, k5_algstr_0(A, k8_nat_1(u1_struct_0(A), B, F), k8_nat_1(u1_struct_0(A), C, F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_bhsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (? [D] :  (v7_ordinal1(D) &  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(D, E) => k8_nat_1(u1_struct_0(A), B, E)=k8_nat_1(u1_struct_0(A), C, E)) ) ) ) )  => r1_bhsp_3(A, B, C)) ) ) ) ) ) ) ).
fof(t15_bhsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_bhsp_3(B, A) & r1_bhsp_3(A, B, C))  => v1_bhsp_3(C, A)) ) ) ) ) ) ) ).
fof(t16_bhsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_bhsp_2(B, A) & r1_bhsp_3(A, B, C))  => v1_bhsp_2(C, A)) ) ) ) ) ) ) ).
fof(t17_bhsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_bhsp_2(C, A) &  (k1_bhsp_2(A, C)=B & r1_bhsp_3(A, C, D)) )  =>  (v1_bhsp_2(D, A) & k1_bhsp_2(A, D)=B) ) ) ) ) ) ) ) ) ) ).
fof(d3_bhsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v2_bhsp_3(B, A) <=>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k3_bhsp_1(A, k8_nat_1(u1_struct_0(A), B, D)), C)) ) ) ) ) ) ) ) ) ) ).
fof(t23_bhsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(E, C) & r1_xxreal_0(D, k3_bhsp_1(A, k8_nat_1(u1_struct_0(A), B, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_bhsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v2_bhsp_3(B, A) & r1_bhsp_3(A, B, C))  => v2_bhsp_3(C, A)) ) ) ) ) ) ) ).
fof(t28_bhsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (m2_valued_0(C, u1_struct_0(A), B) & v1_bhsp_2(B, A))  => k1_bhsp_2(A, C)=k1_bhsp_2(A, B)) ) ) ) ) ) ) ).
fof(t30_bhsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k1_valued_0(u1_struct_0(A), k1_valued_0(u1_struct_0(A), B, C), D)=k1_valued_0(u1_struct_0(A), k1_valued_0(u1_struct_0(A), B, D), C)) ) ) ) ) ) ) ) ).
fof(t31_bhsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k1_valued_0(u1_struct_0(A), k1_valued_0(u1_struct_0(A), B, C), D)=k1_valued_0(u1_struct_0(A), B, k2_xcmplx_0(C, D))) ) ) ) ) ) ) ) ).
fof(t32_bhsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  (v7_ordinal1(D) => k1_valued_0(u1_struct_0(A), k6_bhsp_1(A, B, C), D)=k6_bhsp_1(A, k1_valued_0(u1_struct_0(A), B, D), k1_valued_0(u1_struct_0(A), C, D))) ) ) ) ) ) ) ) ).
fof(t33_bhsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v7_ordinal1(C) => k1_valued_0(u1_struct_0(A), k5_vfunct_1(k4_ordinal1, A, B), C)=k5_vfunct_1(k4_ordinal1, A, k1_valued_0(u1_struct_0(A), B, C))) ) ) ) ) ) ).
fof(t34_bhsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  (v7_ordinal1(D) => k1_valued_0(u1_struct_0(A), k2_normsp_1(A, B, C), D)=k2_normsp_1(A, k1_valued_0(u1_struct_0(A), B, D), k1_valued_0(u1_struct_0(A), C, D))) ) ) ) ) ) ) ) ).
fof(t35_bhsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  (v7_ordinal1(D) => k1_valued_0(u1_struct_0(A), k4_normsp_1(A, C, B), D)=k4_normsp_1(A, k1_valued_0(u1_struct_0(A), C, D), B)) ) ) ) ) ) ) ) ).
fof(t36_bhsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (v1_bhsp_2(B, A) =>  (v1_bhsp_2(k1_valued_0(u1_struct_0(A), B, C), A) & k1_bhsp_2(A, k1_valued_0(u1_struct_0(A), B, C))=k1_bhsp_2(A, B)) ) ) ) ) ) ) ) ).
fof(t37_bhsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_bhsp_2(B, A) =>  ( (! [D] :  (v7_ordinal1(D) =>  ~ (B=k1_valued_0(u1_struct_0(A), C, D)) ) )  | v1_bhsp_2(C, A)) ) ) ) ) ) ) ) ).
fof(t38_bhsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_bhsp_3(B, A) =>  ( (! [D] :  (v7_ordinal1(D) =>  ~ (B=k1_valued_0(u1_struct_0(A), C, D)) ) )  | v1_bhsp_3(C, A)) ) ) ) ) ) ) ) ).
fof(t40_bhsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  (v7_ordinal1(D) =>  (r1_bhsp_3(A, B, C) => r1_bhsp_3(A, k1_valued_0(u1_struct_0(A), B, D), k1_valued_0(u1_struct_0(A), C, D))) ) ) ) ) ) ) ) ) ).
fof(d4_bhsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (v3_bhsp_3(A) <=>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_bhsp_3(B, A) => v1_bhsp_2(B, A)) ) ) ) ) ) ).
fof(t43_bhsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v3_bhsp_3(A) & v1_bhsp_3(B, A))  => v2_bhsp_3(B, A)) ) ) ) ) ).
fof(symmetry_r1_bhsp_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (r1_bhsp_3(A, B, C) => r1_bhsp_3(A, C, B)) ) ) ).
fof(reflexivity_r1_bhsp_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  => r1_bhsp_3(A, B, B)) ) ).
fof(d1_bhsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (C=k1_bhsp_4(A, B) <=>  (k3_funct_2(k4_ordinal1, u1_struct_0(A), C, k5_numbers)=k3_funct_2(k4_ordinal1, u1_struct_0(A), B, k5_numbers) &  (! [D] :  (v7_ordinal1(D) => k3_funct_2(k4_ordinal1, u1_struct_0(A), C, k1_nat_1(D, 1))=k1_algstr_0(A, k8_nat_1(u1_struct_0(A), C, D), k3_funct_2(k4_ordinal1, u1_struct_0(A), B, k1_nat_1(D, 1)))) ) ) ) ) ) ) ) ) ) ).
fof(t1_bhsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) & l2_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k1_normsp_1(A, k1_bhsp_4(A, B), k1_bhsp_4(A, C)), k1_bhsp_4(A, k1_normsp_1(A, B, C)))) ) ) ) ) ) ).
fof(t2_bhsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k2_normsp_1(A, k1_bhsp_4(A, B), k1_bhsp_4(A, C)), k1_bhsp_4(A, k2_normsp_1(A, B, C)))) ) ) ) ) ) ).
fof(t3_bhsp_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(B), k1_bhsp_4(B, k4_normsp_1(B, C, A)), k4_normsp_1(B, k1_bhsp_4(B, C), A))) ) ) ) ) ) ).
fof(t4_bhsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k1_bhsp_4(A, k5_vfunct_1(k4_ordinal1, A, B)), k5_vfunct_1(k4_ordinal1, A, k1_bhsp_4(A, B)))) ) ) ) ).
fof(t5_bhsp_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v2_bhsp_1(C) & l1_bhsp_1(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(C))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(C))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(C), k6_bhsp_1(C, k4_normsp_1(C, k1_bhsp_4(C, D), A), k4_normsp_1(C, k1_bhsp_4(C, E), B)), k1_bhsp_4(C, k6_bhsp_1(C, k4_normsp_1(C, D, A), k4_normsp_1(C, E, B))))) ) ) ) ) ) ) ) ) ) ).
fof(d2_bhsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_bhsp_4(B, A) <=> v1_bhsp_2(k1_bhsp_4(A, B), A)) ) ) ) ) ).
fof(d3_bhsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => k2_bhsp_4(A, B)=k1_bhsp_2(A, k1_bhsp_4(A, B))) ) ) ) ).
fof(t6_bhsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_bhsp_4(B, A) & v1_bhsp_4(C, A))  =>  (v1_bhsp_4(k6_bhsp_1(A, B, C), A) & k2_bhsp_4(A, k6_bhsp_1(A, B, C))=k3_rlvect_1(A, k2_bhsp_4(A, B), k2_bhsp_4(A, C))) ) ) ) ) ) ) ) ).
fof(t7_bhsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_bhsp_4(B, A) & v1_bhsp_4(C, A))  =>  (v1_bhsp_4(k2_normsp_1(A, B, C), A) & k2_bhsp_4(A, k2_normsp_1(A, B, C))=k5_algstr_0(A, k2_bhsp_4(A, B), k2_bhsp_4(A, C))) ) ) ) ) ) ) ) ).
fof(t8_bhsp_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v2_bhsp_1(B) & l1_bhsp_1(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  (v1_bhsp_4(C, B) =>  (v1_bhsp_4(k4_normsp_1(B, C, A), B) & k2_bhsp_4(B, k4_normsp_1(B, C, A))=k1_rlvect_1(B, k2_bhsp_4(B, C), A)) ) ) ) ) ) ) ) ).
fof(t9_bhsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_bhsp_4(B, A) =>  (v1_bhsp_2(B, A) & k1_bhsp_2(A, B)=k4_struct_0(A)) ) ) ) ) ) ).
fof(t10_bhsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) &  (v3_bhsp_3(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_bhsp_4(B, A) <=>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(D, F) & r1_xxreal_0(C, k3_bhsp_1(A, k5_algstr_0(A, k8_nat_1(u1_struct_0(A), k1_bhsp_4(A, B), E), k8_nat_1(u1_struct_0(A), k1_bhsp_4(A, B), F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_bhsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_bhsp_4(B, A) => v2_bhsp_3(k1_bhsp_4(A, B), A)) ) ) ) ) ).
fof(t12_bhsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (! [D] :  (v7_ordinal1(D) => k8_nat_1(u1_struct_0(A), C, D)=k3_funct_2(k4_ordinal1, u1_struct_0(A), B, k5_numbers)) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k1_bhsp_4(A, k1_valued_0(u1_struct_0(A), B, 1)), k2_normsp_1(A, k1_valued_0(u1_struct_0(A), k1_bhsp_4(A, B), 1), C))) ) ) ) ) ) ) ).
fof(t13_bhsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_bhsp_4(B, A) =>  (! [C] :  (v7_ordinal1(C) => v1_bhsp_4(k1_valued_0(u1_struct_0(A), B, C), A)) ) ) ) ) ) ) ).
fof(t14_bhsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (? [C] :  (v7_ordinal1(C) & v1_bhsp_4(k1_valued_0(u1_struct_0(A), B, C), A)) )  => v1_bhsp_4(B, A)) ) ) ) ) ).
fof(d4_bhsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v7_ordinal1(C) => k3_bhsp_4(A, B, C)=k8_nat_1(u1_struct_0(A), k1_bhsp_4(A, B), C)) ) ) ) ) ) ).
fof(t15_bhsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => k3_bhsp_4(A, B, k5_numbers)=k3_funct_2(k4_ordinal1, u1_struct_0(A), B, k5_numbers)) ) ) ) ).
fof(t16_bhsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => k3_bhsp_4(A, B, 1)=k3_rlvect_1(A, k3_bhsp_4(A, B, k5_numbers), k3_funct_2(k4_ordinal1, u1_struct_0(A), B, 1))) ) ) ) ).
fof(t17_bhsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => k3_bhsp_4(A, B, 1)=k3_rlvect_1(A, k3_funct_2(k4_ordinal1, u1_struct_0(A), B, k5_numbers), k3_funct_2(k4_ordinal1, u1_struct_0(A), B, 1))) ) ) ) ).
fof(t18_bhsp_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v2_bhsp_1(B) & l1_bhsp_1(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  => k3_bhsp_4(B, C, k1_nat_1(A, 1))=k3_rlvect_1(B, k3_bhsp_4(B, C, A), k3_funct_2(k4_ordinal1, u1_struct_0(B), C, k1_nat_1(A, 1)))) ) ) ) ) ) ).
fof(t19_bhsp_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v2_bhsp_1(B) & l1_bhsp_1(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  => k3_funct_2(k4_ordinal1, u1_struct_0(B), C, k1_nat_1(A, 1))=k5_algstr_0(B, k3_bhsp_4(B, C, k1_nat_1(A, 1)), k3_bhsp_4(B, C, A))) ) ) ) ) ) ).
fof(t20_bhsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => k3_funct_2(k4_ordinal1, u1_struct_0(A), B, 1)=k5_algstr_0(A, k3_bhsp_4(A, B, 1), k3_bhsp_4(A, B, k5_numbers))) ) ) ) ).
fof(d5_bhsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k4_bhsp_4(A, B, C, D)=k5_algstr_0(A, k3_bhsp_4(A, B, C), k3_bhsp_4(A, B, D))) ) ) ) ) ) ) ) ).
fof(t21_bhsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => k4_bhsp_4(A, B, 1, k5_numbers)=k3_funct_2(k4_ordinal1, u1_struct_0(A), B, 1)) ) ) ) ).
fof(t22_bhsp_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v2_bhsp_1(B) & l1_bhsp_1(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  => k4_bhsp_4(B, C, k1_nat_1(A, 1), A)=k3_funct_2(k4_ordinal1, u1_struct_0(B), C, k1_nat_1(A, 1))) ) ) ) ) ) ).
fof(t23_bhsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) &  (v3_bhsp_3(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_bhsp_4(B, A) <=>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(D, F) & r1_xxreal_0(C, k3_bhsp_1(A, k5_algstr_0(A, k3_bhsp_4(A, B, E), k3_bhsp_4(A, B, F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_bhsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) &  (v3_bhsp_3(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_bhsp_4(B, A) <=>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(D, F) & r1_xxreal_0(C, k3_bhsp_1(A, k4_bhsp_4(A, B, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_bhsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v2_bhsp_4(B, A) <=> v1_series_1(k2_bhsp_2(A, B))) ) ) ) ) ).
fof(t25_bhsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v2_bhsp_4(B, A) & v2_bhsp_4(C, A))  => v2_bhsp_4(k6_bhsp_1(A, B, C), A)) ) ) ) ) ) ) ).
fof(t26_bhsp_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v2_bhsp_1(B) & l1_bhsp_1(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  (v2_bhsp_4(C, B) => v2_bhsp_4(k4_normsp_1(B, C, A), B)) ) ) ) ) ) ) ).
fof(t27_bhsp_4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v2_bhsp_1(B) & l1_bhsp_1(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  ( ( (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k8_nat_1(k1_numbers, k2_bhsp_2(B, C), D), k8_nat_1(k1_numbers, A, D))) )  & v1_series_1(A))  => v2_bhsp_4(C, B)) ) ) ) ) ) ) ).
fof(t28_bhsp_4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v2_bhsp_1(B) & l1_bhsp_1(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  ( ( (! [D] :  (v7_ordinal1(D) =>  ( ~ (k8_nat_1(u1_struct_0(B), C, D)=k4_struct_0(B))  & k8_nat_1(k1_numbers, A, D)=k7_xcmplx_0(k3_bhsp_1(B, k3_funct_2(k4_ordinal1, u1_struct_0(B), C, k1_nat_1(D, 1))), k3_bhsp_1(B, k8_nat_1(u1_struct_0(B), C, D)))) ) )  & v2_comseq_2(A))  =>  (r1_xxreal_0(1, k1_seq_2(A)) | v2_bhsp_4(C, B)) ) ) ) ) ) ) ) ).
fof(t29_bhsp_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v2_bhsp_1(B) & l1_bhsp_1(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( (? [D] :  (v7_ordinal1(D) &  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(D, E) => r1_xxreal_0(A, k3_bhsp_1(B, k8_nat_1(u1_struct_0(B), C, E)))) ) ) ) )  &  (v1_bhsp_2(C, B) & k1_bhsp_2(B, C)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ).
fof(t30_bhsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ~ ( ( (! [C] :  (v7_ordinal1(C) =>  ~ (k8_nat_1(u1_struct_0(A), B, C)=k4_struct_0(A)) ) )  &  ( (? [C] :  (v7_ordinal1(C) &  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(C, D) => r1_xxreal_0(1, k7_xcmplx_0(k3_bhsp_1(A, k3_funct_2(k4_ordinal1, u1_struct_0(A), B, k1_nat_1(D, 1))), k3_bhsp_1(A, k8_nat_1(u1_struct_0(A), B, D))))) ) ) ) )  & v1_bhsp_4(B, A)) ) ) ) ) ) ) ).
fof(t31_bhsp_4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v2_bhsp_1(B) & l1_bhsp_1(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  ~ ( ( (! [D] :  (v7_ordinal1(D) =>  ~ (k8_nat_1(u1_struct_0(B), C, D)=k4_struct_0(B)) ) )  &  ( (! [D] :  (v7_ordinal1(D) => k8_nat_1(k1_numbers, A, D)=k7_xcmplx_0(k3_bhsp_1(B, k3_funct_2(k4_ordinal1, u1_struct_0(B), C, k1_nat_1(D, 1))), k3_bhsp_1(B, k8_nat_1(u1_struct_0(B), C, D)))) )  &  (v2_comseq_2(A) &  ( ~ (r1_xxreal_0(k1_seq_2(A), 1))  & v1_bhsp_4(C, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_bhsp_4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v2_bhsp_1(B) & l1_bhsp_1(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  ( ( (! [D] :  (v7_ordinal1(D) => k8_nat_1(k1_numbers, A, D)=k1_power(D, k3_bhsp_1(B, k8_nat_1(u1_struct_0(B), C, D)))) )  & v2_comseq_2(A))  =>  (r1_xxreal_0(1, k1_seq_2(A)) | v2_bhsp_4(C, B)) ) ) ) ) ) ) ) ).
fof(t33_bhsp_4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v2_bhsp_1(B) & l1_bhsp_1(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  ~ ( ( (! [D] :  (v7_ordinal1(D) => k8_nat_1(k1_numbers, A, D)=k1_power(D, k8_nat_1(k1_numbers, k2_bhsp_2(B, C), D))) )  &  ( (? [D] :  (v7_ordinal1(D) &  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(D, E) => r1_xxreal_0(1, k8_nat_1(k1_numbers, A, E))) ) ) ) )  & v1_bhsp_4(C, B)) ) ) ) ) ) ) ) ) ).
fof(t34_bhsp_4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v2_bhsp_1(B) & l1_bhsp_1(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  ~ ( ( (! [D] :  (v7_ordinal1(D) => k8_nat_1(k1_numbers, A, D)=k1_power(D, k8_nat_1(k1_numbers, k2_bhsp_2(B, C), D))) )  &  (v2_comseq_2(A) &  ( ~ (r1_xxreal_0(k1_seq_2(A), 1))  & v1_bhsp_4(C, B)) ) ) ) ) ) ) ) ) ) ).
fof(t35_bhsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => v7_valued_0(k3_series_1(k2_bhsp_2(A, B)))) ) ) ) ).
fof(t36_bhsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k5_numbers, k8_nat_1(k1_numbers, k3_series_1(k2_bhsp_2(A, B)), C))) ) ) ) ) ) ).
fof(t37_bhsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k3_bhsp_1(A, k8_nat_1(u1_struct_0(A), k1_bhsp_4(A, B), C)), k8_nat_1(k1_numbers, k3_series_1(k2_bhsp_2(A, B)), C))) ) ) ) ) ) ).
fof(t38_bhsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k3_bhsp_1(A, k3_bhsp_4(A, B, C)), k6_series_1(k2_bhsp_2(A, B), C))) ) ) ) ) ) ).
fof(t39_bhsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k3_bhsp_1(A, k5_algstr_0(A, k8_nat_1(u1_struct_0(A), k1_bhsp_4(A, B), D), k8_nat_1(u1_struct_0(A), k1_bhsp_4(A, B), C))), k9_complex1(k5_real_1(k8_nat_1(k1_numbers, k3_series_1(k2_bhsp_2(A, B)), D), k8_nat_1(k1_numbers, k3_series_1(k2_bhsp_2(A, B)), C))))) ) ) ) ) ) ) ) ).
fof(t40_bhsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k3_bhsp_1(A, k5_algstr_0(A, k3_bhsp_4(A, B, D), k3_bhsp_4(A, B, C))), k9_complex1(k6_xcmplx_0(k6_series_1(k2_bhsp_2(A, B), D), k6_series_1(k2_bhsp_2(A, B), C))))) ) ) ) ) ) ) ) ).
fof(t41_bhsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k3_bhsp_1(A, k4_bhsp_4(A, B, D, C)), k9_complex1(k7_series_1(k2_bhsp_2(A, B), D, C)))) ) ) ) ) ) ) ) ).
fof(t42_bhsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) &  (v3_bhsp_3(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v2_bhsp_4(B, A) => v1_bhsp_4(B, A)) ) ) ) ) ).
fof(d7_bhsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (D=k5_bhsp_4(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) => k8_nat_1(u1_struct_0(A), D, E)=k1_rlvect_1(A, k8_nat_1(u1_struct_0(A), B, E), k8_nat_1(k1_numbers, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_bhsp_4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v2_bhsp_1(B) & l1_bhsp_1(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(B), k5_bhsp_4(B, k6_bhsp_1(B, C, D), A), k6_bhsp_1(B, k5_bhsp_4(B, C, A), k5_bhsp_4(B, D, A)))) ) ) ) ) ) ) ) ).
fof(t44_bhsp_4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v2_bhsp_1(C) & l1_bhsp_1(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(C))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(C), k5_bhsp_4(C, D, k1_series_1(k1_numbers, A, B)), k6_bhsp_1(C, k5_bhsp_4(C, D, A), k5_bhsp_4(C, D, B)))) ) ) ) ) ) ) ) ).
fof(t45_bhsp_4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v2_bhsp_1(C) & l1_bhsp_1(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(C))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(C), k5_bhsp_4(C, D, k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B)), k5_bhsp_4(C, k5_bhsp_4(C, D, B), A))) ) ) ) ) ) ) ) ).
fof(t46_bhsp_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v2_bhsp_1(C) & l1_bhsp_1(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(C))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(C), k5_bhsp_4(C, D, k26_valued_1(k4_ordinal1, k1_numbers, B, A)), k4_normsp_1(C, k5_bhsp_4(C, D, B), A))) ) ) ) ) ) ) ) ).
fof(t47_bhsp_4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v2_bhsp_1(B) & l1_bhsp_1(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(B), k5_bhsp_4(B, k5_vfunct_1(k4_ordinal1, B, C), A), k5_bhsp_4(B, C, k32_valued_1(k4_ordinal1, k1_numbers, A)))) ) ) ) ) ) ).
fof(t48_bhsp_4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v2_bhsp_1(B) & l1_bhsp_1(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  ( (v2_comseq_2(A) & v1_bhsp_2(C, B))  => v1_bhsp_2(k5_bhsp_4(B, C, A), B)) ) ) ) ) ) ) ).
fof(t49_bhsp_4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v2_bhsp_1(B) & l1_bhsp_1(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  ( (v1_comseq_2(A) & v2_bhsp_3(C, B))  => v2_bhsp_3(k5_bhsp_4(B, C, A), B)) ) ) ) ) ) ) ).
fof(t50_bhsp_4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v2_bhsp_1(B) & l1_bhsp_1(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  ( (v2_comseq_2(A) & v1_bhsp_2(C, B))  =>  (v1_bhsp_2(k5_bhsp_4(B, C, A), B) & k1_bhsp_2(B, k5_bhsp_4(B, C, A))=k1_rlvect_1(B, k1_bhsp_2(B, C), k1_seq_2(A))) ) ) ) ) ) ) ) ).
fof(d8_bhsp_4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v3_bhsp_4(A) <=>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  (! [C] :  (v7_ordinal1(C) =>  (? [D] :  (v7_ordinal1(D) &  (? [E] :  (v7_ordinal1(E) &  (r1_xxreal_0(C, D) &  (r1_xxreal_0(C, E) & r1_xxreal_0(B, k9_complex1(k5_real_1(k8_nat_1(k1_numbers, A, D), k8_nat_1(k1_numbers, A, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_bhsp_4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v2_bhsp_1(B) &  (v3_bhsp_3(B) & l1_bhsp_1(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  ( (v1_bhsp_3(C, B) & v3_bhsp_4(A))  => v1_bhsp_3(k5_bhsp_4(B, C, A), B)) ) ) ) ) ) ) ).
fof(t52_bhsp_4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v2_bhsp_1(B) & l1_bhsp_1(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  (! [D] :  (v7_ordinal1(D) => k8_nat_1(u1_struct_0(B), k1_bhsp_4(B, k5_bhsp_4(B, k1_bhsp_4(B, C), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, k1_valued_0(k1_numbers, A, 1)))), D)=k5_algstr_0(B, k3_funct_2(k4_ordinal1, u1_struct_0(B), k1_bhsp_4(B, k5_bhsp_4(B, C, A)), k1_nat_1(D, 1)), k3_funct_2(k4_ordinal1, u1_struct_0(B), k5_bhsp_4(B, k1_bhsp_4(B, C), A), k1_nat_1(D, 1)))) ) ) ) ) ) ) ) ).
fof(t53_bhsp_4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v2_bhsp_1(B) & l1_bhsp_1(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  (! [D] :  (v7_ordinal1(D) => k3_funct_2(k4_ordinal1, u1_struct_0(B), k1_bhsp_4(B, k5_bhsp_4(B, C, A)), k1_nat_1(D, 1))=k5_algstr_0(B, k3_funct_2(k4_ordinal1, u1_struct_0(B), k5_bhsp_4(B, k1_bhsp_4(B, C), A), k1_nat_1(D, 1)), k8_nat_1(u1_struct_0(B), k1_bhsp_4(B, k5_bhsp_4(B, k1_bhsp_4(B, C), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k1_valued_0(k1_numbers, A, 1), A))), D))) ) ) ) ) ) ) ) ).
fof(t54_bhsp_4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v2_bhsp_1(B) & l1_bhsp_1(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  (! [D] :  (v7_ordinal1(D) => k3_bhsp_4(B, k5_bhsp_4(B, C, A), k1_nat_1(D, 1))=k5_algstr_0(B, k3_funct_2(k4_ordinal1, u1_struct_0(B), k5_bhsp_4(B, k1_bhsp_4(B, C), A), k1_nat_1(D, 1)), k3_bhsp_4(B, k5_bhsp_4(B, k1_bhsp_4(B, C), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k1_valued_0(k1_numbers, A, 1), A)), D))) ) ) ) ) ) ) ) ).
fof(dt_k1_bhsp_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (v1_funct_1(k1_bhsp_4(A, B)) &  (v1_funct_2(k1_bhsp_4(A, B), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k1_bhsp_4(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(dt_k2_bhsp_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => m1_subset_1(k2_bhsp_4(A, B), u1_struct_0(A))) ) ).
fof(dt_k3_bhsp_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  & v7_ordinal1(C)) )  => m1_subset_1(k3_bhsp_4(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k4_bhsp_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  &  (v7_ordinal1(C) & v7_ordinal1(D)) ) )  => m1_subset_1(k4_bhsp_4(A, B, C, D), u1_struct_0(A))) ) ).
fof(dt_k5_bhsp_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (v1_funct_1(k5_bhsp_4(A, B, C)) &  (v1_funct_2(k5_bhsp_4(A, B, C), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k5_bhsp_4(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(rc1_bhsp_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_bhsp_5(B, A) & v1_finset_1(B)) ) ) ) ).
fof(rc2_bhsp_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m2_bhsp_5(B, A) & v1_finset_1(B)) ) ) ) ).
fof(t1_bhsp_5, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  ( (v2_funct_1(B) &  (v2_funct_1(C) & k10_xtuple_0(B)=k10_xtuple_0(C)) )  =>  (k4_finseq_1(B)=k4_finseq_1(C) &  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_1(B), k4_finseq_1(B)) &  (v3_funct_2(D, k4_finseq_1(B), k4_finseq_1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(B), k4_finseq_1(B))))) ) )  &  (C=k3_relat_1(D, B) &  (k9_xtuple_0(D)=k4_finseq_1(B) & k10_xtuple_0(D)=k4_finseq_1(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_bhsp_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  ( (v1_binop_1(B, A) &  (v2_binop_1(B, A) & v1_setwiseo(B, A)) )  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(A)))  =>  (! [D] :  (m1_subset_1(D, A) =>  (D=k1_bhsp_5(A, B, C) <=>  (? [E] :  (m2_finseq_1(E, A) &  (v2_funct_1(E) &  (k10_xtuple_0(E)=C & D=k1_finsop_1(A, E, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_bhsp_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ( ( ~ (B=k1_xboole_0)  => k2_bhsp_5(A, B)=k1_bhsp_5(u1_struct_0(A), u1_algstr_0(A), B))  &  (B=k1_xboole_0 => k2_bhsp_5(A, B)=k4_struct_0(A)) ) ) ) ) ) ).
fof(d3_bhsp_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  (v7_ordinal1(D) => k3_bhsp_5(A, B, C, D)=k1_funct_1(u1_bhsp_1(A), k4_tarski(B, k1_funct_1(C, D)))) ) ) ) ) ) ) ) ).
fof(d4_bhsp_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [D] :  (m2_finseq_1(D, B) => k4_bhsp_5(A, B, C, D)=k3_relat_1(D, C)) ) ) ) ) ) ) ) ).
fof(d5_bhsp_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  ( (v1_binop_1(C, A) &  (v2_binop_1(C, A) & v1_setwiseo(C, A)) )  =>  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(B)))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [F] :  (m1_subset_1(F, A) =>  (F=k5_bhsp_5(A, B, C, D, E) <=>  (? [G] :  (m2_finseq_1(G, B) &  (v2_funct_1(G) &  (k10_xtuple_0(G)=D & F=k1_finsop_1(A, k4_bhsp_5(A, B, E, G), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_bhsp_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  (v1_xreal_0(D) =>  (D=k6_bhsp_5(A, B, C) <=>  (? [E] :  (m2_finseq_1(E, u1_struct_0(A)) &  (v2_funct_1(E) &  (k10_xtuple_0(E)=C &  (? [F] :  (m2_finseq_1(F, k1_numbers) &  (k4_finseq_1(F)=k4_finseq_1(E) &  ( (! [G] :  (v7_ordinal1(G) =>  (r2_tarski(G, k4_finseq_1(F)) => k1_funct_1(F, G)=k3_bhsp_5(A, B, E, G)) ) )  & D=k1_finsop_1(k1_numbers, F, k9_binop_2)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_bhsp_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  ( ( ~ (C=k1_xboole_0)  => k7_bhsp_5(A, B, C)=k6_bhsp_5(A, B, C))  &  (C=k1_xboole_0 => k7_bhsp_5(A, B, C)=k5_numbers) ) ) ) ) ) ) ) ).
fof(d8_bhsp_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (m1_bhsp_5(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  =>  (C=D | k2_bhsp_1(A, C, D)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_bhsp_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  => m1_bhsp_5(k1_xboole_0, A)) ) ).
fof(d9_bhsp_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (m2_bhsp_5(B, A) <=>  (m1_bhsp_5(B, A) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) => k2_bhsp_1(A, C, C)=1) ) ) ) ) ) ) ) ) ).
fof(t3_bhsp_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  => m2_bhsp_5(k1_xboole_0, A)) ) ).
fof(t4_bhsp_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (B=k4_struct_0(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_bhsp_1(A, B, C)=k5_numbers) ) ) ) ) ) ) ).
fof(t5_bhsp_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_xcmplx_0(k1_square_1(k3_bhsp_1(A, k3_rlvect_1(A, B, C))), k1_square_1(k3_bhsp_1(A, k5_algstr_0(A, B, C))))=k2_xcmplx_0(k3_xcmplx_0(2, k1_square_1(k3_bhsp_1(A, B))), k3_xcmplx_0(2, k1_square_1(k3_bhsp_1(A, C))))) ) ) ) ) ) ).
fof(t6_bhsp_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_bhsp_1(A, B, C) => k1_square_1(k3_bhsp_1(A, k3_rlvect_1(A, B, C)))=k2_xcmplx_0(k1_square_1(k3_bhsp_1(A, B)), k1_square_1(k3_bhsp_1(A, C)))) ) ) ) ) ) ) ).
fof(t7_bhsp_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  ( (r1_xxreal_0(1, k3_finseq_1(B)) &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(C, k4_finseq_1(B)) & r2_tarski(D, k4_finseq_1(B)))  =>  (C=D | k1_funct_1(u1_bhsp_1(A), k4_tarski(k1_funct_1(B, C), k1_funct_1(B, D)))=k5_numbers) ) ) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  ( (k4_finseq_1(B)=k4_finseq_1(C) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(C)) => k1_funct_1(C, D)=k1_funct_1(u1_bhsp_1(A), k4_tarski(k1_funct_1(B, D), k1_funct_1(B, D)))) ) ) )  => k2_bhsp_1(A, k1_finsop_1(u1_struct_0(A), B, u1_algstr_0(A)), k1_finsop_1(u1_struct_0(A), B, u1_algstr_0(A)))=k1_finsop_1(k1_numbers, C, k9_binop_2)) ) ) ) ) ) ) ) ).
fof(t8_bhsp_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (r1_xxreal_0(1, k3_finseq_1(C)) =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  ( (k4_finseq_1(C)=k4_finseq_1(D) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) => k1_funct_1(D, E)=k1_funct_1(u1_bhsp_1(A), k4_tarski(B, k1_funct_1(C, E)))) ) ) )  => k2_bhsp_1(A, B, k1_finsop_1(u1_struct_0(A), C, u1_algstr_0(A)))=k1_finsop_1(k1_numbers, D, k9_binop_2)) ) ) ) ) ) ) ) ) ) ).
fof(t9_bhsp_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  ( (r1_tarski(B, k9_xtuple_0(C)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r2_tarski(D, B) & r2_tarski(E, B))  =>  (D=E | k1_funct_1(u1_bhsp_1(A), k4_tarski(k1_funct_1(C, D), k1_funct_1(C, E)))=k5_numbers) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  ( (r1_tarski(B, k9_xtuple_0(D)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(E, B) => k1_funct_1(D, E)=k1_funct_1(u1_bhsp_1(A), k4_tarski(k1_funct_1(C, E), k1_funct_1(C, E)))) ) ) )  =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(A)) =>  ( (v2_funct_1(E) & k10_xtuple_0(E)=B)  => k1_funct_1(u1_bhsp_1(A), k4_tarski(k1_finsop_1(u1_struct_0(A), k4_bhsp_5(u1_struct_0(A), u1_struct_0(A), C, E), u1_algstr_0(A)), k1_finsop_1(u1_struct_0(A), k4_bhsp_5(u1_struct_0(A), u1_struct_0(A), C, E), u1_algstr_0(A))))=k1_finsop_1(k1_numbers, k4_bhsp_5(k1_numbers, u1_struct_0(A), D, E), k9_binop_2)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_bhsp_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (r1_tarski(C, k9_xtuple_0(D)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  ( (r1_tarski(C, k9_xtuple_0(E)) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r2_tarski(F, C) => k1_funct_1(E, F)=k1_funct_1(u1_bhsp_1(A), k4_tarski(B, k1_funct_1(D, F)))) ) ) )  =>  (! [F] :  (m2_finseq_1(F, u1_struct_0(A)) =>  ( (v2_funct_1(F) & k10_xtuple_0(F)=C)  => k1_funct_1(u1_bhsp_1(A), k4_tarski(B, k1_finsop_1(u1_struct_0(A), k4_bhsp_5(u1_struct_0(A), u1_struct_0(A), D, F), u1_algstr_0(A))))=k1_finsop_1(k1_numbers, k4_bhsp_5(k1_numbers, u1_struct_0(A), E, F), k9_binop_2)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_bhsp_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  ( (v1_binop_1(u1_algstr_0(A), u1_struct_0(A)) &  (v2_binop_1(u1_algstr_0(A), u1_struct_0(A)) & v1_setwiseo(u1_algstr_0(A), u1_struct_0(A))) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_finset_1(C) & m2_bhsp_5(C, A))  =>  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  ( (r1_tarski(C, k9_xtuple_0(D)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(E, C) => k1_funct_1(D, E)=k1_square_1(k2_bhsp_1(A, B, E))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  ( (r1_tarski(C, k9_xtuple_0(E)) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r2_tarski(F, C) => k1_funct_1(E, F)=k1_rlvect_1(A, F, k2_bhsp_1(A, B, F))) ) ) )  => k2_bhsp_1(A, B, k5_bhsp_5(u1_struct_0(A), u1_struct_0(A), u1_algstr_0(A), C, E))=k5_bhsp_5(k1_numbers, u1_struct_0(A), k9_binop_2, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_bhsp_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  ( (v1_binop_1(u1_algstr_0(A), u1_struct_0(A)) &  (v2_binop_1(u1_algstr_0(A), u1_struct_0(A)) & v1_setwiseo(u1_algstr_0(A), u1_struct_0(A))) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_finset_1(C) & m2_bhsp_5(C, A))  =>  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  ( (r1_tarski(C, k9_xtuple_0(D)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(E, C) => k1_funct_1(D, E)=k1_rlvect_1(A, E, k2_bhsp_1(A, B, E))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  ( (r1_tarski(C, k9_xtuple_0(E)) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r2_tarski(F, C) => k1_funct_1(E, F)=k1_square_1(k2_bhsp_1(A, B, F))) ) ) )  => k2_bhsp_1(A, k5_bhsp_5(u1_struct_0(A), u1_struct_0(A), u1_algstr_0(A), C, D), k5_bhsp_5(u1_struct_0(A), u1_struct_0(A), u1_algstr_0(A), C, D))=k5_bhsp_5(k1_numbers, u1_struct_0(A), k9_binop_2, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_bhsp_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  ( (v1_binop_1(u1_algstr_0(A), u1_struct_0(A)) &  (v2_binop_1(u1_algstr_0(A), u1_struct_0(A)) & v1_setwiseo(u1_algstr_0(A), u1_struct_0(A))) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_finset_1(C) & m2_bhsp_5(C, A))  =>  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  ( (r1_tarski(C, k9_xtuple_0(D)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(E, C) => k1_funct_1(D, E)=k1_square_1(k2_bhsp_1(A, B, E))) ) ) )  => r1_xxreal_0(k5_bhsp_5(k1_numbers, u1_struct_0(A), k9_binop_2, C, D), k1_square_1(k3_bhsp_1(A, B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_bhsp_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  ( (v1_binop_1(C, A) &  (v2_binop_1(C, A) & v1_setwiseo(C, A)) )  =>  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(B)))  =>  (! [E] :  ( (v1_finset_1(E) & m1_subset_1(E, k1_zfmisc_1(B)))  =>  (r1_xboole_0(D, E) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, B, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  ( (r1_tarski(D, k9_xtuple_0(F)) & r1_tarski(E, k9_xtuple_0(F)))  =>  (! [G] :  ( (v1_finset_1(G) & m1_subset_1(G, k1_zfmisc_1(B)))  =>  (G=k2_xboole_0(D, E) => k5_bhsp_5(A, B, C, G, F)=k4_binop_1(A, C, k5_bhsp_5(A, B, C, D, F), k5_bhsp_5(A, B, C, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_bhsp_5, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(A))) ) )  => m1_subset_1(k1_bhsp_5(A, B, C), A)) ) ).
fof(dt_k4_bhsp_5, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  & m1_finseq_1(D, B)) ) )  => m2_finseq_1(k4_bhsp_5(A, B, C, D), A)) ) ).
fof(dt_k5_bhsp_5, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(B)))  &  (v1_funct_1(E) &  (v1_funct_2(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) ) ) )  => m1_subset_1(k5_bhsp_5(A, B, C, D, E), A)) ) ).
fof(dt_k6_bhsp_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  => v1_xreal_0(k6_bhsp_5(A, B, C))) ) ).
fof(dt_k7_bhsp_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  => v1_xreal_0(k7_bhsp_5(A, B, C))) ) ).
fof(dt_m1_bhsp_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_bhsp_5(B, A) => m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ).
fof(existence_m1_bhsp_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (? [B] : m1_bhsp_5(B, A)) ) ) ).
fof(dt_m2_bhsp_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_bhsp_5(B, A) => m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ).
fof(existence_m2_bhsp_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (? [B] : m2_bhsp_5(B, A)) ) ) ).
fof(d1_bhsp_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  ( (v1_binop_1(u1_algstr_0(A), u1_struct_0(A)) &  (v2_binop_1(u1_algstr_0(A), u1_struct_0(A)) & v1_setwiseo(u1_algstr_0(A), u1_struct_0(A))) )  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (C=k1_bhsp_6(A, B) <=>  (? [D] :  (m2_finseq_1(D, u1_struct_0(A)) &  (v2_funct_1(D) &  (k2_relset_1(u1_struct_0(A), D)=B & C=k1_finsop_1(u1_struct_0(A), D, u1_algstr_0(A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_bhsp_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  ( (v1_binop_1(u1_algstr_0(A), u1_struct_0(A)) &  (v2_binop_1(u1_algstr_0(A), u1_struct_0(A)) & v1_setwiseo(u1_algstr_0(A), u1_struct_0(A))) )  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  ( (r1_tarski(B, k1_relset_1(u1_struct_0(A), C)) &  (! [D] :  (r2_tarski(D, k1_relset_1(u1_struct_0(A), C)) => k1_funct_1(C, D)=D) ) )  => k1_bhsp_6(A, B)=k5_bhsp_5(u1_struct_0(A), u1_struct_0(A), u1_algstr_0(A), B, C)) ) ) ) ) ) ) ) ).
fof(t2_bhsp_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  ( (v1_binop_1(u1_algstr_0(A), u1_struct_0(A)) &  (v2_binop_1(u1_algstr_0(A), u1_struct_0(A)) & v1_setwiseo(u1_algstr_0(A), u1_struct_0(A))) )  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (r1_xboole_0(B, C) =>  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  =>  (D=k4_subset_1(u1_struct_0(A), B, C) => k1_bhsp_6(A, D)=k3_rlvect_1(A, k1_bhsp_6(A, B), k1_bhsp_6(A, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_bhsp_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_bhsp_6(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  ( (v1_finset_1(E) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( ( ~ (v1_xboole_0(E))  &  (r1_tarski(E, B) &  (! [F] :  ( (v1_finset_1(F) & m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( (r1_tarski(E, F) &  (r1_tarski(F, B) & r1_xxreal_0(D, k3_bhsp_1(A, k5_algstr_0(A, C, k1_bhsp_6(A, F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_bhsp_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_bhsp_6(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (C=k2_bhsp_6(A, B) <=>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  ( (v1_finset_1(E) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( ( ~ (v1_xboole_0(E))  &  (r1_tarski(E, B) &  (! [F] :  ( (v1_finset_1(F) & m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( (r1_tarski(E, F) &  (r1_tarski(F, B) & r1_xxreal_0(D, k3_bhsp_1(A, k5_algstr_0(A, C, k1_bhsp_6(A, F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_bhsp_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_hahnban(B, A) &  (v3_hahnban(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) )  =>  (v2_bhsp_6(B, A) <=>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_xxreal_0(k9_complex1(k3_funct_2(u1_struct_0(A), k1_numbers, B, D)), k3_xcmplx_0(C, k3_bhsp_1(A, D)))) ) ) ) ) ) ) ) ) ) ).
fof(d5_bhsp_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_bhsp_6(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), k1_numbers) &  (v2_hahnban(D, A) &  (v3_hahnban(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) )  =>  (v2_bhsp_6(D, A) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  ( (v1_finset_1(F) & m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( ( ~ (v1_xboole_0(F))  &  (r1_tarski(F, B) &  (! [G] :  ( (v1_finset_1(G) & m1_subset_1(G, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( (r1_tarski(F, G) &  (r1_tarski(G, B) & r1_xxreal_0(E, k9_complex1(k3_funct_2(u1_struct_0(A), k1_numbers, D, k5_algstr_0(A, C, k1_bhsp_6(A, G)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_bhsp_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (r1_bhsp_6(A, B, C) <=>  (? [D] :  (v1_xreal_0(D) &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  ( (v1_finset_1(F) & m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( ( ~ (v1_xboole_0(F))  &  (r1_tarski(F, B) &  (! [G] :  ( (v1_finset_1(G) & m1_subset_1(G, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( (r1_tarski(F, G) &  (r1_tarski(G, B) & r1_xxreal_0(E, k9_complex1(k6_xcmplx_0(D, k5_bhsp_5(k1_numbers, u1_struct_0(A), k9_binop_2, G, C))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_bhsp_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (r1_bhsp_6(A, B, C) =>  (! [D] :  (v1_xreal_0(D) =>  (D=k3_bhsp_6(A, B, C) <=>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  ( (v1_finset_1(F) & m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( ( ~ (v1_xboole_0(F))  &  (r1_tarski(F, B) &  (! [G] :  ( (v1_finset_1(G) & m1_subset_1(G, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( (r1_tarski(F, G) &  (r1_tarski(G, B) & r1_xxreal_0(E, k9_complex1(k6_xcmplx_0(D, k5_bhsp_5(k1_numbers, u1_struct_0(A), k9_binop_2, G, C))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_bhsp_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_bhsp_6(B, A) => v3_bhsp_6(B, A)) ) ) ) ) ).
fof(t4_bhsp_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_hahnban(B, A) &  (v3_hahnban(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (r1_xxreal_0(1, k3_finseq_1(C)) =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  ( (k4_finseq_1(C)=k4_finseq_1(D) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) => k1_funct_1(D, E)=k1_funct_1(B, k1_funct_1(C, E))) ) ) )  => k3_funct_2(u1_struct_0(A), k1_numbers, B, k1_finsop_1(u1_struct_0(A), C, u1_algstr_0(A)))=k1_finsop_1(k1_numbers, D, k9_binop_2)) ) ) ) ) ) ) ) ) ) ).
fof(t5_bhsp_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  ( (v1_binop_1(u1_algstr_0(A), u1_struct_0(A)) &  (v2_binop_1(u1_algstr_0(A), u1_struct_0(A)) & v1_setwiseo(u1_algstr_0(A), u1_struct_0(A))) )  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) &  (v2_hahnban(C, A) &  (v3_hahnban(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) )  => k3_funct_2(u1_struct_0(A), k1_numbers, C, k1_bhsp_6(A, B))=k5_bhsp_5(k1_numbers, u1_struct_0(A), k9_binop_2, B, C)) ) ) ) ) ) ) ) ).
fof(t6_bhsp_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  ( (v1_binop_1(u1_algstr_0(A), u1_struct_0(A)) &  (v2_binop_1(u1_algstr_0(A), u1_struct_0(A)) & v1_setwiseo(u1_algstr_0(A), u1_struct_0(A))) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v3_bhsp_6(B, A) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), k1_numbers) &  (v2_hahnban(D, A) &  (v3_hahnban(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) )  &  (v2_bhsp_6(D, A) &  (? [E] :  (v1_xreal_0(E) &  ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  ( (v1_finset_1(F) & m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( ( ~ (v1_xboole_0(F))  &  (r1_tarski(F, B) &  (! [G] :  ( (v1_finset_1(G) & m1_subset_1(G, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( (r1_tarski(F, G) &  (r1_tarski(G, B) & r1_xxreal_0(E, k9_complex1(k5_real_1(k3_funct_2(u1_struct_0(A), k1_numbers, D, C), k5_bhsp_5(k1_numbers, u1_struct_0(A), k9_binop_2, G, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_bhsp_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  ( (v1_binop_1(u1_algstr_0(A), u1_struct_0(A)) &  (v2_binop_1(u1_algstr_0(A), u1_struct_0(A)) & v1_setwiseo(u1_algstr_0(A), u1_struct_0(A))) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_bhsp_6(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) &  (v2_hahnban(C, A) &  (v3_hahnban(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) )  =>  (v2_bhsp_6(C, A) => r1_bhsp_6(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t8_bhsp_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  ( (v1_binop_1(u1_algstr_0(A), u1_struct_0(A)) &  (v2_binop_1(u1_algstr_0(A), u1_struct_0(A)) & v1_setwiseo(u1_algstr_0(A), u1_struct_0(A))) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_bhsp_6(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) &  (v2_hahnban(C, A) &  (v3_hahnban(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) )  =>  (v2_bhsp_6(C, A) => r1_bhsp_6(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t9_bhsp_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ( ~ (v1_xboole_0(B))  => v1_bhsp_6(B, A)) ) ) ) ) ).
fof(t10_bhsp_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) &  (v3_bhsp_3(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) ) )  =>  ( (v1_binop_1(u1_algstr_0(A), u1_struct_0(A)) &  (v2_binop_1(u1_algstr_0(A), u1_struct_0(A)) & v1_setwiseo(u1_algstr_0(A), u1_struct_0(A))) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_bhsp_6(B, A) <=>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( ( ~ (v1_xboole_0(D))  &  (r1_tarski(D, B) &  (! [E] :  ( (v1_finset_1(E) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( ( ~ (v1_xboole_0(E))  &  (r1_tarski(E, B) &  (r1_xboole_0(D, E) & r1_xxreal_0(C, k3_bhsp_1(A, k1_bhsp_6(A, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_bhsp_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k1_bhsp_6(A, B), u1_struct_0(A))) ) ).
fof(dt_k2_bhsp_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k2_bhsp_6(A, B), u1_struct_0(A))) ) ).
fof(dt_k3_bhsp_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) )  => v1_xreal_0(k3_bhsp_6(A, B, C))) ) ).
fof(t1_bhsp_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (r1_bhsp_6(A, B, C) <=>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  ( (v1_finset_1(E) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( ( ~ (v1_xboole_0(E))  &  (r1_tarski(E, B) &  (! [F] :  ( (v1_finset_1(F) & m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( ( ~ (v1_xboole_0(F))  &  (r1_tarski(F, B) &  (r1_xboole_0(E, F) & r1_xxreal_0(D, k9_complex1(k5_bhsp_5(k1_numbers, u1_struct_0(A), k9_binop_2, F, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_bhsp_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  ( (v1_binop_1(u1_algstr_0(A), u1_struct_0(A)) &  (v2_binop_1(u1_algstr_0(A), u1_struct_0(A)) & v1_setwiseo(u1_algstr_0(A), u1_struct_0(A))) )  =>  (! [B] :  ( (v1_finset_1(B) & m1_bhsp_5(B, A))  =>  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  ( (r1_tarski(B, k9_xtuple_0(C)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, B) => k3_funct_2(u1_struct_0(A), u1_struct_0(A), C, D)=D) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  ( (r1_tarski(B, k9_xtuple_0(D)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(E, B) => k3_funct_2(u1_struct_0(A), k1_numbers, D, E)=k2_bhsp_1(A, E, E)) ) ) )  => k2_bhsp_1(A, k5_bhsp_5(u1_struct_0(A), u1_struct_0(A), u1_algstr_0(A), B, C), k5_bhsp_5(u1_struct_0(A), u1_struct_0(A), u1_algstr_0(A), B, C))=k5_bhsp_5(k1_numbers, u1_struct_0(A), k9_binop_2, B, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_bhsp_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  ( (v1_binop_1(u1_algstr_0(A), u1_struct_0(A)) &  (v2_binop_1(u1_algstr_0(A), u1_struct_0(A)) & v1_setwiseo(u1_algstr_0(A), u1_struct_0(A))) )  =>  (! [B] :  ( (v1_finset_1(B) & m1_bhsp_5(B, A))  =>  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  ( (r1_tarski(B, k9_xtuple_0(C)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, B) => k3_funct_2(u1_struct_0(A), k1_numbers, C, D)=k2_bhsp_1(A, D, D)) ) ) )  => k2_bhsp_1(A, k1_bhsp_6(A, B), k1_bhsp_6(A, B))=k5_bhsp_5(k1_numbers, u1_struct_0(A), k9_binop_2, B, C)) ) ) ) ) ) ) ) ) ).
fof(t4_bhsp_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_bhsp_5(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (m1_subset_1(C, k1_zfmisc_1(B)) => m1_bhsp_5(C, A)) ) ) ) ) ) ) ).
fof(t5_bhsp_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_bhsp_5(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (m1_subset_1(C, k1_zfmisc_1(B)) => m2_bhsp_5(C, A)) ) ) ) ) ) ) ).
fof(t6_bhsp_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) &  (v3_bhsp_3(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) ) )  =>  ( (v1_binop_1(u1_algstr_0(A), u1_struct_0(A)) &  (v2_binop_1(u1_algstr_0(A), u1_struct_0(A)) & v1_setwiseo(u1_algstr_0(A), u1_struct_0(A))) )  =>  (! [B] :  (m2_bhsp_5(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  ( (r1_tarski(B, k9_xtuple_0(C)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, B) => k3_funct_2(u1_struct_0(A), k1_numbers, C, D)=k2_bhsp_1(A, D, D)) ) ) )  =>  (v1_bhsp_6(B, A) <=> r1_bhsp_6(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t7_bhsp_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_bhsp_6(B, A) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( ( ~ (v1_xboole_0(D))  &  (r1_tarski(D, B) &  (! [E] :  ( (v1_finset_1(E) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( (r1_tarski(D, E) &  (r1_tarski(E, B) & r1_xxreal_0(C, k9_complex1(k6_xcmplx_0(k2_bhsp_1(A, k2_bhsp_6(A, B), k2_bhsp_6(A, B)), k2_bhsp_1(A, k1_bhsp_6(A, E), k1_bhsp_6(A, E)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_bhsp_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) &  (v3_bhsp_3(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) ) )  =>  ( (v1_binop_1(u1_algstr_0(A), u1_struct_0(A)) &  (v2_binop_1(u1_algstr_0(A), u1_struct_0(A)) & v1_setwiseo(u1_algstr_0(A), u1_struct_0(A))) )  =>  (! [B] :  (m2_bhsp_5(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  ( (r1_tarski(B, k9_xtuple_0(C)) &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, B) => k3_funct_2(u1_struct_0(A), k1_numbers, C, D)=k2_bhsp_1(A, D, D)) ) )  & v1_bhsp_6(B, A)) )  => k2_bhsp_1(A, k2_bhsp_6(A, B), k2_bhsp_6(A, B))=k3_bhsp_6(A, B, C)) ) ) ) ) ) ) ) ).
fof(fc1_bilinear, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_rlvect_1(A) & l2_algstr_0(A)) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A)) ) )  =>  (v1_funct_1(k1_bilinear(A, B, C)) &  (v1_funct_2(k1_bilinear(A, B, C), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & v1_bilinear(k1_bilinear(A, B, C), A, B, C)) ) ) ) ).
fof(fc2_bilinear, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_rlvect_1(A) & l2_algstr_0(A)) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A)) ) )  =>  (v1_funct_1(k1_bilinear(A, B, C)) &  (v1_funct_2(k1_bilinear(A, B, C), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & v2_bilinear(k1_bilinear(A, B, C), A, B, C)) ) ) ) ).
fof(rc1_bilinear, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_rlvect_1(A) & l2_algstr_0(A)) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A)) ) )  =>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)))) &  ( ~ (v1_xboole_0(D))  &  (v1_relat_1(D) &  (v4_relat_1(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))) &  (v5_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) &  (v1_partfun1(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v1_bilinear(D, A, B, C) & v2_bilinear(D, A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc3_bilinear, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A)) ) )  =>  (v1_funct_1(k1_bilinear(A, B, C)) &  (v1_funct_2(k1_bilinear(A, B, C), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & v3_bilinear(k1_bilinear(A, B, C), A, B, C)) ) ) ) ).
fof(fc4_bilinear, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A)) ) )  =>  (v1_funct_1(k1_bilinear(A, B, C)) &  (v1_funct_2(k1_bilinear(A, B, C), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & v4_bilinear(k1_bilinear(A, B, C), A, B, C)) ) ) ) ).
fof(rc2_bilinear, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A)) ) )  =>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)))) &  ( ~ (v1_xboole_0(D))  &  (v1_relat_1(D) &  (v4_relat_1(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))) &  (v5_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) &  (v1_partfun1(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v1_bilinear(D, A, B, C) &  (v2_bilinear(D, A, B, C) &  (v3_bilinear(D, A, B, C) & v4_bilinear(D, A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc5_bilinear, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v1_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) )  & m1_subset_1(E, u1_struct_0(B))) ) ) )  =>  (v1_funct_1(k7_bilinear(A, B, C, D, E)) &  (v1_funct_2(k7_bilinear(A, B, C, D, E), u1_struct_0(C), u1_struct_0(A)) & v13_vectsp_1(k7_bilinear(A, B, C, D, E), C, A)) ) ) ) ).
fof(fc6_bilinear, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v2_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) )  & m1_subset_1(E, u1_struct_0(C))) ) ) )  =>  (v1_funct_1(k8_bilinear(A, B, C, D, E)) &  (v1_funct_2(k8_bilinear(A, B, C, D, E), u1_struct_0(B), u1_struct_0(A)) & v13_vectsp_1(k8_bilinear(A, B, C, D, E), B, A)) ) ) ) ).
fof(fc7_bilinear, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v3_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) )  & m1_subset_1(E, u1_struct_0(B))) ) ) )  =>  (v1_funct_1(k7_bilinear(A, B, C, D, E)) &  (v1_funct_2(k7_bilinear(A, B, C, D, E), u1_struct_0(C), u1_struct_0(A)) & v1_hahnban1(k7_bilinear(A, B, C, D, E), A, C)) ) ) ) ).
fof(fc8_bilinear, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v4_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) )  & m1_subset_1(E, u1_struct_0(C))) ) ) )  =>  (v1_funct_1(k8_bilinear(A, B, C, D, E)) &  (v1_funct_2(k8_bilinear(A, B, C, D, E), u1_struct_0(B), u1_struct_0(A)) & v1_hahnban1(k8_bilinear(A, B, C, D, E), A, B)) ) ) ) ).
fof(fc9_bilinear, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(A)) &  (v13_vectsp_1(E, C, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) ) ) ) ) ) )  =>  (v1_funct_1(k9_bilinear(A, B, C, D, E)) &  (v1_funct_2(k9_bilinear(A, B, C, D, E), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & v1_bilinear(k9_bilinear(A, B, C, D, E), A, B, C)) ) ) ) ).
fof(fc10_bilinear, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) &  (v13_vectsp_1(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) )  &  (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) ) ) ) ) )  =>  (v1_funct_1(k9_bilinear(A, B, C, D, E)) &  (v1_funct_2(k9_bilinear(A, B, C, D, E), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & v2_bilinear(k9_bilinear(A, B, C, D, E), A, B, C)) ) ) ) ).
fof(fc11_bilinear, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(A)) &  (v1_hahnban1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) ) ) ) ) ) )  =>  (v1_funct_1(k9_bilinear(A, B, C, D, E)) &  (v1_funct_2(k9_bilinear(A, B, C, D, E), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & v3_bilinear(k9_bilinear(A, B, C, D, E), A, B, C)) ) ) ) ).
fof(fc12_bilinear, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) &  (v1_hahnban1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) )  &  (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) ) ) ) ) )  =>  (v1_funct_1(k9_bilinear(A, B, C, D, E)) &  (v1_funct_2(k9_bilinear(A, B, C, D, E), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & v4_bilinear(k9_bilinear(A, B, C, D, E), A, B, C)) ) ) ) ).
fof(fc13_bilinear, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  & l6_algstr_0(A)) )  &  ( ( ~ (v7_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) ) ) ) ) )  =>  ( ~ (v1_zfmisc_1(k9_bilinear(A, B, C, D, E)))  &  (v1_funct_1(k9_bilinear(A, B, C, D, E)) & v1_funct_2(k9_bilinear(A, B, C, D, E), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))) ) ) ) ).
fof(fc14_bilinear, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  & l6_algstr_0(A)) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v7_struct_0(C))  & l1_vectsp_1(C, A))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) ) ) ) ) )  =>  ( ~ (v1_zfmisc_1(k9_bilinear(A, B, C, D, E)))  &  (v1_funct_1(k9_bilinear(A, B, C, D, E)) & v1_funct_2(k9_bilinear(A, B, C, D, E), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))) ) ) ) ).
fof(fc15_bilinear, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(D) &  ( ~ (v3_funct_1(D))  &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) &  (v2_hahnban1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) ) )  &  (v1_funct_1(E) &  ( ~ (v3_funct_1(E))  &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(A)) &  (v2_hahnban1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) ) ) ) ) ) ) )  =>  (v1_funct_1(k9_bilinear(A, B, C, D, E)) &  ( ~ (v3_funct_1(k9_bilinear(A, B, C, D, E)))  & v1_funct_2(k9_bilinear(A, B, C, D, E), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))) ) ) ) ).
fof(rc3_bilinear, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(C))  &  ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) ) ) )  =>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)))) &  ( ~ (v1_xboole_0(D))  &  ( ~ (v1_zfmisc_1(D))  &  (v1_relat_1(D) &  (v4_relat_1(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))) &  (v5_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) &  ( ~ (v3_funct_1(D))  &  (v1_partfun1(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v1_bilinear(D, A, B, C) &  (v2_bilinear(D, A, B, C) &  (v3_bilinear(D, A, B, C) & v4_bilinear(D, A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc16_bilinear, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v2_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) )  &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v2_bilinear(E, A, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) ) )  =>  (v1_funct_1(k2_bilinear(A, B, C, D, E)) &  (v1_funct_2(k2_bilinear(A, B, C, D, E), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & v2_bilinear(k2_bilinear(A, B, C, D, E), A, B, C)) ) ) ) ).
fof(fc17_bilinear, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v1_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) )  &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v1_bilinear(E, A, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) ) )  =>  (v1_funct_1(k2_bilinear(A, B, C, D, E)) &  (v1_funct_2(k2_bilinear(A, B, C, D, E), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & v1_bilinear(k2_bilinear(A, B, C, D, E), A, B, C)) ) ) ) ).
fof(fc18_bilinear, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v2_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) )  & m1_subset_1(E, u1_struct_0(A))) ) ) )  =>  (v1_funct_1(k3_bilinear(A, B, C, D, E)) &  (v1_funct_2(k3_bilinear(A, B, C, D, E), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & v2_bilinear(k3_bilinear(A, B, C, D, E), A, B, C)) ) ) ) ).
fof(fc19_bilinear, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v1_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) )  & m1_subset_1(E, u1_struct_0(A))) ) ) )  =>  (v1_funct_1(k3_bilinear(A, B, C, D, E)) &  (v1_funct_2(k3_bilinear(A, B, C, D, E), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & v1_bilinear(k3_bilinear(A, B, C, D, E), A, B, C)) ) ) ) ).
fof(fc20_bilinear, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v2_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) )  =>  (v1_funct_1(k4_bilinear(A, B, C, D)) &  (v1_funct_2(k4_bilinear(A, B, C, D), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & v2_bilinear(k4_bilinear(A, B, C, D), A, B, C)) ) ) ) ).
fof(fc21_bilinear, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v1_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) )  =>  (v1_funct_1(k4_bilinear(A, B, C, D)) &  (v1_funct_2(k4_bilinear(A, B, C, D), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & v1_bilinear(k4_bilinear(A, B, C, D), A, B, C)) ) ) ) ).
fof(fc22_bilinear, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v2_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) )  &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v2_bilinear(E, A, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) ) )  =>  (v1_funct_1(k5_bilinear(A, B, C, D, E)) &  (v1_funct_2(k5_bilinear(A, B, C, D, E), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & v2_bilinear(k5_bilinear(A, B, C, D, E), A, B, C)) ) ) ) ).
fof(fc23_bilinear, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v1_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) )  &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v1_bilinear(E, A, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) ) )  =>  (v1_funct_1(k5_bilinear(A, B, C, D, E)) &  (v1_funct_2(k5_bilinear(A, B, C, D, E), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & v1_bilinear(k5_bilinear(A, B, C, D, E), A, B, C)) ) ) ) ).
fof(fc24_bilinear, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v4_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) )  &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v4_bilinear(E, A, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) ) )  =>  (v1_funct_1(k2_bilinear(A, B, C, D, E)) &  (v1_funct_2(k2_bilinear(A, B, C, D, E), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & v4_bilinear(k2_bilinear(A, B, C, D, E), A, B, C)) ) ) ) ).
fof(fc25_bilinear, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v3_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) )  &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v3_bilinear(E, A, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) ) )  =>  (v1_funct_1(k2_bilinear(A, B, C, D, E)) &  (v1_funct_2(k2_bilinear(A, B, C, D, E), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & v3_bilinear(k2_bilinear(A, B, C, D, E), A, B, C)) ) ) ) ).
fof(fc26_bilinear, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v4_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) )  & m1_subset_1(E, u1_struct_0(A))) ) ) )  =>  (v1_funct_1(k3_bilinear(A, B, C, D, E)) &  (v1_funct_2(k3_bilinear(A, B, C, D, E), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & v4_bilinear(k3_bilinear(A, B, C, D, E), A, B, C)) ) ) ) ).
fof(fc27_bilinear, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v3_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) )  & m1_subset_1(E, u1_struct_0(A))) ) ) )  =>  (v1_funct_1(k3_bilinear(A, B, C, D, E)) &  (v1_funct_2(k3_bilinear(A, B, C, D, E), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & v3_bilinear(k3_bilinear(A, B, C, D, E), A, B, C)) ) ) ) ).
fof(fc28_bilinear, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v4_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) )  =>  (v1_funct_1(k4_bilinear(A, B, C, D)) &  (v1_funct_2(k4_bilinear(A, B, C, D), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & v4_bilinear(k4_bilinear(A, B, C, D), A, B, C)) ) ) ) ).
fof(fc29_bilinear, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v3_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) )  =>  (v1_funct_1(k4_bilinear(A, B, C, D)) &  (v1_funct_2(k4_bilinear(A, B, C, D), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & v3_bilinear(k4_bilinear(A, B, C, D), A, B, C)) ) ) ) ).
fof(fc30_bilinear, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v4_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) )  &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v4_bilinear(E, A, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) ) )  =>  (v1_funct_1(k5_bilinear(A, B, C, D, E)) &  (v1_funct_2(k5_bilinear(A, B, C, D, E), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & v4_bilinear(k5_bilinear(A, B, C, D, E), A, B, C)) ) ) ) ).
fof(fc31_bilinear, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v3_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) )  &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v3_bilinear(E, A, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) ) )  =>  (v1_funct_1(k5_bilinear(A, B, C, D, E)) &  (v1_funct_2(k5_bilinear(A, B, C, D, E), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & v3_bilinear(k5_bilinear(A, B, C, D, E), A, B, C)) ) ) ) ).
fof(fc32_bilinear, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) )  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v2_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) )  =>  ~ (v1_xboole_0(k10_bilinear(A, B, C, D))) ) ) ).
fof(fc33_bilinear, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v4_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) )  =>  ~ (v1_xboole_0(k10_bilinear(A, B, C, D))) ) ) ).
fof(fc34_bilinear, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v1_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) )  =>  ~ (v1_xboole_0(k11_bilinear(A, B, C, D))) ) ) ).
fof(fc35_bilinear, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v3_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) )  =>  ~ (v1_xboole_0(k11_bilinear(A, B, C, D))) ) ) ).
fof(fc36_bilinear, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) &  (v1_bilinear(C, A, B, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A))))) ) ) ) )  =>  ~ (v1_xboole_0(k12_bilinear(A, B, C))) ) ) ).
fof(fc37_bilinear, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) &  (v2_bilinear(C, A, B, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A))))) ) ) ) )  =>  ~ (v1_xboole_0(k12_bilinear(A, B, C))) ) ) ).
fof(fc38_bilinear, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) &  (v3_bilinear(C, A, B, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A))))) ) ) ) )  =>  ~ (v1_xboole_0(k12_bilinear(A, B, C))) ) ) ).
fof(fc39_bilinear, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) &  (v4_bilinear(C, A, B, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A))))) ) ) ) )  =>  ~ (v1_xboole_0(k12_bilinear(A, B, C))) ) ) ).
fof(fc40_bilinear, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v1_bilinear(D, A, B, C) &  (v2_bilinear(D, A, B, C) &  (v3_bilinear(D, A, B, C) &  (v4_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k15_bilinear(A, B, C, D)) &  (v1_funct_2(k15_bilinear(A, B, C, D), k2_zfmisc_1(u1_struct_0(k6_vectsp10(A, B, k13_bilinear(A, B, C, D))), u1_struct_0(C)), u1_struct_0(A)) &  (v1_bilinear(k15_bilinear(A, B, C, D), A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), C) &  (v2_bilinear(k15_bilinear(A, B, C, D), A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), C) &  (v3_bilinear(k15_bilinear(A, B, C, D), A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), C) & v4_bilinear(k15_bilinear(A, B, C, D), A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), C)) ) ) ) ) ) ) ).
fof(fc41_bilinear, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v1_bilinear(D, A, B, C) &  (v2_bilinear(D, A, B, C) &  (v3_bilinear(D, A, B, C) &  (v4_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k16_bilinear(A, B, C, D)) &  (v1_funct_2(k16_bilinear(A, B, C, D), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(k6_vectsp10(A, C, k14_bilinear(A, B, C, D)))), u1_struct_0(A)) &  (v1_bilinear(k16_bilinear(A, B, C, D), A, B, k6_vectsp10(A, C, k14_bilinear(A, B, C, D))) &  (v2_bilinear(k16_bilinear(A, B, C, D), A, B, k6_vectsp10(A, C, k14_bilinear(A, B, C, D))) &  (v3_bilinear(k16_bilinear(A, B, C, D), A, B, k6_vectsp10(A, C, k14_bilinear(A, B, C, D))) & v4_bilinear(k16_bilinear(A, B, C, D), A, B, k6_vectsp10(A, C, k14_bilinear(A, B, C, D)))) ) ) ) ) ) ) ).
fof(fc42_bilinear, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v2_bilinear(D, A, B, C) &  (v4_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) ) )  =>  (v1_funct_1(k15_bilinear(A, B, C, D)) &  (v1_funct_2(k15_bilinear(A, B, C, D), k2_zfmisc_1(u1_struct_0(k6_vectsp10(A, B, k13_bilinear(A, B, C, D))), u1_struct_0(C)), u1_struct_0(A)) &  (v2_bilinear(k15_bilinear(A, B, C, D), A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), C) &  (v4_bilinear(k15_bilinear(A, B, C, D), A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), C) &  ~ (v5_bilinear(k15_bilinear(A, B, C, D), A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), C)) ) ) ) ) ) ) ).
fof(fc43_bilinear, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v1_bilinear(D, A, B, C) &  (v3_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) ) )  =>  (v1_funct_1(k16_bilinear(A, B, C, D)) &  (v1_funct_2(k16_bilinear(A, B, C, D), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(k6_vectsp10(A, C, k14_bilinear(A, B, C, D)))), u1_struct_0(A)) &  (v1_bilinear(k16_bilinear(A, B, C, D), A, B, k6_vectsp10(A, C, k14_bilinear(A, B, C, D))) &  (v3_bilinear(k16_bilinear(A, B, C, D), A, B, k6_vectsp10(A, C, k14_bilinear(A, B, C, D))) &  ~ (v6_bilinear(k16_bilinear(A, B, C, D), A, B, k6_vectsp10(A, C, k14_bilinear(A, B, C, D)))) ) ) ) ) ) ) ).
fof(fc44_bilinear, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v1_bilinear(D, A, B, C) &  (v2_bilinear(D, A, B, C) &  (v3_bilinear(D, A, B, C) &  (v4_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k17_bilinear(A, B, C, D)) &  (v1_funct_2(k17_bilinear(A, B, C, D), k2_zfmisc_1(u1_struct_0(k6_vectsp10(A, B, k13_bilinear(A, B, C, D))), u1_struct_0(k6_vectsp10(A, C, k14_bilinear(A, B, C, D)))), u1_struct_0(A)) &  (v1_bilinear(k17_bilinear(A, B, C, D), A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), k6_vectsp10(A, C, k14_bilinear(A, B, C, D))) &  (v2_bilinear(k17_bilinear(A, B, C, D), A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), k6_vectsp10(A, C, k14_bilinear(A, B, C, D))) &  (v3_bilinear(k17_bilinear(A, B, C, D), A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), k6_vectsp10(A, C, k14_bilinear(A, B, C, D))) &  (v4_bilinear(k17_bilinear(A, B, C, D), A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), k6_vectsp10(A, C, k14_bilinear(A, B, C, D))) &  ( ~ (v5_bilinear(k17_bilinear(A, B, C, D), A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), k6_vectsp10(A, C, k14_bilinear(A, B, C, D))))  &  ~ (v6_bilinear(k17_bilinear(A, B, C, D), A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), k6_vectsp10(A, C, k14_bilinear(A, B, C, D)))) ) ) ) ) ) ) ) ) ) ).
fof(fc45_bilinear, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v1_bilinear(D, A, B, C) &  (v2_bilinear(D, A, B, C) &  (v3_bilinear(D, A, B, C) &  (v4_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k16_bilinear(A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), C, k15_bilinear(A, B, C, D))) &  (v1_funct_2(k16_bilinear(A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), C, k15_bilinear(A, B, C, D)), k2_zfmisc_1(u1_struct_0(k6_vectsp10(A, B, k13_bilinear(A, B, C, D))), u1_struct_0(k6_vectsp10(A, C, k14_bilinear(A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), C, k15_bilinear(A, B, C, D))))), u1_struct_0(A)) &  (v1_bilinear(k16_bilinear(A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), C, k15_bilinear(A, B, C, D)), A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), k6_vectsp10(A, C, k14_bilinear(A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), C, k15_bilinear(A, B, C, D)))) &  (v3_bilinear(k16_bilinear(A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), C, k15_bilinear(A, B, C, D)), A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), k6_vectsp10(A, C, k14_bilinear(A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), C, k15_bilinear(A, B, C, D)))) &  ( ~ (v5_bilinear(k16_bilinear(A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), C, k15_bilinear(A, B, C, D)), A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), k6_vectsp10(A, C, k14_bilinear(A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), C, k15_bilinear(A, B, C, D)))))  &  ~ (v6_bilinear(k16_bilinear(A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), C, k15_bilinear(A, B, C, D)), A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), k6_vectsp10(A, C, k14_bilinear(A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), C, k15_bilinear(A, B, C, D))))) ) ) ) ) ) ) ) ).
fof(fc46_bilinear, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v1_bilinear(D, A, B, C) &  (v2_bilinear(D, A, B, C) &  (v3_bilinear(D, A, B, C) &  (v4_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k15_bilinear(A, B, k6_vectsp10(A, C, k14_bilinear(A, B, C, D)), k16_bilinear(A, B, C, D))) &  (v1_funct_2(k15_bilinear(A, B, k6_vectsp10(A, C, k14_bilinear(A, B, C, D)), k16_bilinear(A, B, C, D)), k2_zfmisc_1(u1_struct_0(k6_vectsp10(A, B, k13_bilinear(A, B, k6_vectsp10(A, C, k14_bilinear(A, B, C, D)), k16_bilinear(A, B, C, D)))), u1_struct_0(k6_vectsp10(A, C, k14_bilinear(A, B, C, D)))), u1_struct_0(A)) &  (v2_bilinear(k15_bilinear(A, B, k6_vectsp10(A, C, k14_bilinear(A, B, C, D)), k16_bilinear(A, B, C, D)), A, k6_vectsp10(A, B, k13_bilinear(A, B, k6_vectsp10(A, C, k14_bilinear(A, B, C, D)), k16_bilinear(A, B, C, D))), k6_vectsp10(A, C, k14_bilinear(A, B, C, D))) &  (v4_bilinear(k15_bilinear(A, B, k6_vectsp10(A, C, k14_bilinear(A, B, C, D)), k16_bilinear(A, B, C, D)), A, k6_vectsp10(A, B, k13_bilinear(A, B, k6_vectsp10(A, C, k14_bilinear(A, B, C, D)), k16_bilinear(A, B, C, D))), k6_vectsp10(A, C, k14_bilinear(A, B, C, D))) &  ( ~ (v5_bilinear(k15_bilinear(A, B, k6_vectsp10(A, C, k14_bilinear(A, B, C, D)), k16_bilinear(A, B, C, D)), A, k6_vectsp10(A, B, k13_bilinear(A, B, k6_vectsp10(A, C, k14_bilinear(A, B, C, D)), k16_bilinear(A, B, C, D))), k6_vectsp10(A, C, k14_bilinear(A, B, C, D))))  &  ~ (v6_bilinear(k15_bilinear(A, B, k6_vectsp10(A, C, k14_bilinear(A, B, C, D)), k16_bilinear(A, B, C, D)), A, k6_vectsp10(A, B, k13_bilinear(A, B, k6_vectsp10(A, C, k14_bilinear(A, B, C, D)), k16_bilinear(A, B, C, D))), k6_vectsp10(A, C, k14_bilinear(A, B, C, D)))) ) ) ) ) ) ) ) ).
fof(fc47_bilinear, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(D) &  ( ~ (v3_funct_1(D))  &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v1_bilinear(D, A, B, C) &  (v2_bilinear(D, A, B, C) &  (v3_bilinear(D, A, B, C) &  (v4_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k17_bilinear(A, B, C, D)) &  ( ~ (v3_funct_1(k17_bilinear(A, B, C, D)))  &  (v1_funct_2(k17_bilinear(A, B, C, D), k2_zfmisc_1(u1_struct_0(k6_vectsp10(A, B, k13_bilinear(A, B, C, D))), u1_struct_0(k6_vectsp10(A, C, k14_bilinear(A, B, C, D)))), u1_struct_0(A)) &  (v1_bilinear(k17_bilinear(A, B, C, D), A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), k6_vectsp10(A, C, k14_bilinear(A, B, C, D))) &  (v2_bilinear(k17_bilinear(A, B, C, D), A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), k6_vectsp10(A, C, k14_bilinear(A, B, C, D))) &  (v3_bilinear(k17_bilinear(A, B, C, D), A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), k6_vectsp10(A, C, k14_bilinear(A, B, C, D))) & v4_bilinear(k17_bilinear(A, B, C, D), A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), k6_vectsp10(A, C, k14_bilinear(A, B, C, D)))) ) ) ) ) ) ) ) ).
fof(fc48_bilinear, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  &  ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A)) )  =>  (v1_funct_1(k1_bilinear(A, B, B)) &  (v1_funct_2(k1_bilinear(A, B, B), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) & v7_bilinear(k1_bilinear(A, B, B), A, B)) ) ) ) ).
fof(fc49_bilinear, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  &  ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A)) )  =>  (v1_funct_1(k1_bilinear(A, B, B)) &  (v1_funct_2(k1_bilinear(A, B, B), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) & v8_bilinear(k1_bilinear(A, B, B), A, B)) ) ) ) ).
fof(rc4_bilinear, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  &  ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A)) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)))) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))) &  (v5_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) & v7_bilinear(C, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc5_bilinear, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  &  ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A)) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)))) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))) &  (v5_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) & v8_bilinear(C, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc6_bilinear, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  &  ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A)) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)))) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))) &  (v5_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) &  (v1_bilinear(C, A, B, B) &  (v2_bilinear(C, A, B, B) &  (v3_bilinear(C, A, B, B) &  (v4_bilinear(C, A, B, B) & v7_bilinear(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc7_bilinear, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  &  ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A)) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)))) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))) &  (v5_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) &  (v1_bilinear(C, A, B, B) &  (v2_bilinear(C, A, B, B) &  (v3_bilinear(C, A, B, B) &  (v4_bilinear(C, A, B, B) & v8_bilinear(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc8_bilinear, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)))) &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_zfmisc_1(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))) &  (v5_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  ( ~ (v3_funct_1(C))  &  (v1_partfun1(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) &  (v1_bilinear(C, A, B, B) &  (v2_bilinear(C, A, B, B) &  (v3_bilinear(C, A, B, B) &  (v4_bilinear(C, A, B, B) & v7_bilinear(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc9_bilinear, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  &  ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A)) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)))) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))) &  (v5_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) &  (v1_bilinear(C, A, B, B) &  (v2_bilinear(C, A, B, B) & v8_bilinear(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc50_bilinear, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) &  (v7_bilinear(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A))))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) &  (v7_bilinear(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A))))) ) ) ) ) )  =>  (v1_funct_1(k2_bilinear(A, B, B, C, D)) &  (v1_funct_2(k2_bilinear(A, B, B, C, D), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) & v7_bilinear(k2_bilinear(A, B, B, C, D), A, B)) ) ) ) ).
fof(fc51_bilinear, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) &  (v7_bilinear(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A))))) ) )  & m1_subset_1(D, u1_struct_0(A))) ) )  =>  (v1_funct_1(k3_bilinear(A, B, B, C, D)) &  (v1_funct_2(k3_bilinear(A, B, B, C, D), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) & v7_bilinear(k3_bilinear(A, B, B, C, D), A, B)) ) ) ) ).
fof(fc52_bilinear, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) &  (v7_bilinear(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k4_bilinear(A, B, B, C)) &  (v1_funct_2(k4_bilinear(A, B, B, C), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) & v7_bilinear(k4_bilinear(A, B, B, C), A, B)) ) ) ) ).
fof(fc53_bilinear, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) &  (v7_bilinear(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A))))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) &  (v7_bilinear(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A))))) ) ) ) ) )  =>  (v1_funct_1(k5_bilinear(A, B, B, C, D)) &  (v1_funct_2(k5_bilinear(A, B, B, C, D), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) & v7_bilinear(k5_bilinear(A, B, B, C, D), A, B)) ) ) ) ).
fof(fc54_bilinear, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_rlvect_1(A) & l2_algstr_0(A)) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) &  (v8_bilinear(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A))))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) &  (v8_bilinear(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A))))) ) ) ) ) )  =>  (v1_funct_1(k2_bilinear(A, B, B, C, D)) &  (v1_funct_2(k2_bilinear(A, B, B, C, D), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) & v8_bilinear(k2_bilinear(A, B, B, C, D), A, B)) ) ) ) ).
fof(fc55_bilinear, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) &  (v8_bilinear(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A))))) ) )  & m1_subset_1(D, u1_struct_0(A))) ) )  =>  (v1_funct_1(k3_bilinear(A, B, B, C, D)) &  (v1_funct_2(k3_bilinear(A, B, B, C, D), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) & v8_bilinear(k3_bilinear(A, B, B, C, D), A, B)) ) ) ) ).
fof(fc56_bilinear, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) &  (v8_bilinear(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k4_bilinear(A, B, B, C)) &  (v1_funct_2(k4_bilinear(A, B, B, C), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) & v8_bilinear(k4_bilinear(A, B, B, C), A, B)) ) ) ) ).
fof(fc57_bilinear, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) &  (v8_bilinear(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A))))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) &  (v8_bilinear(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A))))) ) ) ) ) )  =>  (v1_funct_1(k5_bilinear(A, B, B, C, D)) &  (v1_funct_2(k5_bilinear(A, B, B, C, D), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) & v8_bilinear(k5_bilinear(A, B, B, C, D), A, B)) ) ) ) ).
fof(d1_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  (l1_vectsp_1(B, A) =>  (! [C] :  (l1_vectsp_1(C, A) => k1_bilinear(A, B, C)=k8_funcop_1(u1_struct_0(A), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), k4_struct_0(A))) ) ) ) ) ) ).
fof(d2_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (F=k2_bilinear(A, B, C, D, E) <=>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(C)) => k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), F, G, H)=k1_algstr_0(A, k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), D, G, H), k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), E, G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (F=k3_bilinear(A, B, C, D, E) <=>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(C)) => k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), F, G, H)=k6_algstr_0(A, E, k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), D, G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (E=k4_bilinear(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(C)) => k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), E, F, G)=k4_algstr_0(A, k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), D, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) &  (v6_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  => k4_bilinear(A, B, C, D)=k3_bilinear(A, B, C, D, k4_algstr_0(A, k5_struct_0(A)))) ) ) ) ) ) ) ) ).
fof(d6_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  => k5_bilinear(A, B, C, D, E)=k2_bilinear(A, B, C, D, k4_bilinear(A, B, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(d7_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (F=k5_bilinear(A, B, C, D, E) <=>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(C)) => k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), F, G, H)=k5_algstr_0(A, k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), D, G, H), k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), E, G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_rlvect_1(A) & l2_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  => r2_funct_2(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A), k2_bilinear(A, B, C, D, k1_bilinear(A, B, C)), D)) ) ) ) ) ) ) ) ).
fof(t2_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) & l2_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  => r2_funct_2(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A), k2_bilinear(A, B, C, k2_bilinear(A, B, C, D, E), F), k2_bilinear(A, B, C, D, k2_bilinear(A, B, C, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  => r2_funct_2(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A), k5_bilinear(A, B, C, D, D), k1_bilinear(A, B, C))) ) ) ) ) ) ) ) ).
fof(t4_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_vectsp_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  => r2_funct_2(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A), k3_bilinear(A, B, C, k2_bilinear(A, B, C, E, F), D), k2_bilinear(A, B, C, k3_bilinear(A, B, C, E, D), k3_bilinear(A, B, C, F, D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_vectsp_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  => r2_funct_2(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A), k3_bilinear(A, B, C, F, k1_algstr_0(A, D, E)), k2_bilinear(A, B, C, k3_bilinear(A, B, C, F, D), k3_bilinear(A, B, C, F, E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_group_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  => r2_funct_2(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A), k3_bilinear(A, B, C, F, k6_algstr_0(A, D, E)), k3_bilinear(A, B, C, k3_bilinear(A, B, C, F, E), D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_vectsp_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  => r2_funct_2(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A), k3_bilinear(A, B, C, D, k5_struct_0(A)), D)) ) ) ) ) ) ) ) ).
fof(d8_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => k7_bilinear(A, B, C, D, E)=k10_funct_5(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), k9_funct_2(u1_struct_0(C), u1_struct_0(A)), k11_funct_5(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), D), E)) ) ) ) ) ) ) ) ) ) ).
fof(d9_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) => k8_bilinear(A, B, C, D, E)=k10_funct_5(u1_struct_0(C), u1_struct_0(B), u1_struct_0(A), k9_funct_2(u1_struct_0(B), u1_struct_0(A)), k12_funct_5(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), D), E)) ) ) ) ) ) ) ) ) ) ).
fof(t8_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (k1_relset_1(u1_struct_0(C), k7_bilinear(A, B, C, D, E))=u1_struct_0(C) &  (r1_tarski(k2_relset_1(u1_struct_0(A), k7_bilinear(A, B, C, D, E)), u1_struct_0(A)) &  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) => k3_funct_2(u1_struct_0(C), u1_struct_0(A), k7_bilinear(A, B, C, D, E), F)=k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (k1_relset_1(u1_struct_0(B), k8_bilinear(A, B, C, D, E))=u1_struct_0(B) &  (r1_tarski(k2_relset_1(u1_struct_0(A), k8_bilinear(A, B, C, D, E)), u1_struct_0(A)) &  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) => k3_funct_2(u1_struct_0(B), u1_struct_0(A), k8_bilinear(A, B, C, D, E), F)=k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), D, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => r2_funct_2(u1_struct_0(C), u1_struct_0(A), k7_bilinear(A, B, C, k1_bilinear(A, B, C), D), k7_hahnban1(A, C))) ) ) ) ) ) ) ) ).
fof(t11_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) => r2_funct_2(u1_struct_0(B), u1_struct_0(A), k8_bilinear(A, B, C, k1_bilinear(A, B, C), D), k7_hahnban1(A, B))) ) ) ) ) ) ) ) ).
fof(t12_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) => r2_funct_2(u1_struct_0(B), u1_struct_0(A), k8_bilinear(A, B, C, k2_bilinear(A, B, C, D, E), F), k3_hahnban1(A, B, k8_bilinear(A, B, C, D, F), k8_bilinear(A, B, C, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) => r2_funct_2(u1_struct_0(C), u1_struct_0(A), k7_bilinear(A, B, C, k2_bilinear(A, B, C, D, E), F), k3_hahnban1(A, C, k7_bilinear(A, B, C, D, F), k7_bilinear(A, B, C, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) => r2_funct_2(u1_struct_0(B), u1_struct_0(A), k8_bilinear(A, B, C, k3_bilinear(A, B, C, D, E), F), k6_hahnban1(A, B, E, k8_bilinear(A, B, C, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) => r2_funct_2(u1_struct_0(C), u1_struct_0(A), k7_bilinear(A, B, C, k3_bilinear(A, B, C, D, E), F), k6_hahnban1(A, C, E, k7_bilinear(A, B, C, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) => r2_funct_2(u1_struct_0(B), u1_struct_0(A), k8_bilinear(A, B, C, k4_bilinear(A, B, C, D), E), k4_hahnban1(A, B, k8_bilinear(A, B, C, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t17_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => r2_funct_2(u1_struct_0(C), u1_struct_0(A), k7_bilinear(A, B, C, k4_bilinear(A, B, C, D), E), k4_hahnban1(A, C, k7_bilinear(A, B, C, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t18_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) => r2_funct_2(u1_struct_0(B), u1_struct_0(A), k8_bilinear(A, B, C, k5_bilinear(A, B, C, D, E), F), k5_hahnban1(A, B, k8_bilinear(A, B, C, D, F), k8_bilinear(A, B, C, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) => r2_funct_2(u1_struct_0(C), u1_struct_0(A), k7_bilinear(A, B, C, k5_bilinear(A, B, C, D, E), F), k5_hahnban1(A, C, k7_bilinear(A, B, C, D, F), k7_bilinear(A, B, C, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (F=k9_bilinear(A, B, C, D, E) <=>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(C)) => k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), F, G, H)=k6_algstr_0(A, k3_funct_2(u1_struct_0(B), u1_struct_0(A), D, G), k3_funct_2(u1_struct_0(C), u1_struct_0(A), E, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) => k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), k9_bilinear(A, B, C, D, k7_hahnban1(A, C)), E, F)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(C), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) => k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), k9_bilinear(A, B, C, k7_hahnban1(A, B), D), E, F)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  => r2_funct_2(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A), k9_bilinear(A, B, C, D, k7_hahnban1(A, C)), k1_bilinear(A, B, C))) ) ) ) ) ) ) ) ).
fof(t23_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(C), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) )  => r2_funct_2(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A), k9_bilinear(A, B, C, k7_hahnban1(A, B), D), k1_bilinear(A, B, C))) ) ) ) ) ) ) ) ).
fof(t24_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) )  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) => r2_funct_2(u1_struct_0(C), u1_struct_0(A), k7_bilinear(A, B, C, k9_bilinear(A, B, C, D, E), F), k6_hahnban1(A, C, k3_funct_2(u1_struct_0(B), u1_struct_0(A), D, F), E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) )  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) => r2_funct_2(u1_struct_0(B), u1_struct_0(A), k8_bilinear(A, B, C, k9_bilinear(A, B, C, D, E), F), k6_hahnban1(A, B, k3_funct_2(u1_struct_0(C), u1_struct_0(A), E, F), D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (v1_bilinear(D, A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => v13_vectsp_1(k7_bilinear(A, B, C, D, E), C, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (v2_bilinear(D, A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) => v13_vectsp_1(k8_bilinear(A, B, C, D, E), B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (v3_bilinear(D, A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => v1_hahnban1(k7_bilinear(A, B, C, D, E), A, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (v4_bilinear(D, A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) => v1_hahnban1(k8_bilinear(A, B, C, D, E), A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (v2_bilinear(G, A, B, C) => k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), G, k1_algstr_0(B, D, E), F)=k1_algstr_0(A, k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), G, D, F), k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), G, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (v1_bilinear(G, A, B, C) => k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), G, D, k1_algstr_0(C, E, F))=k1_algstr_0(A, k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), G, D, E), k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), G, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_rlvect_1(A) & l2_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(C)) =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v1_bilinear(H, A, B, C) &  (v2_bilinear(H, A, B, C) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) )  => k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), H, k1_algstr_0(B, D, E), k1_algstr_0(C, F, G))=k1_algstr_0(A, k1_algstr_0(A, k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), H, D, F), k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), H, D, G)), k1_algstr_0(A, k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), H, E, F), k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), H, E, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v1_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), D, E, k4_struct_0(C))=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ).
fof(t30_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v2_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) => k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), D, k4_struct_0(B), E)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ).
fof(t31_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (v4_bilinear(G, A, B, C) => k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), G, k3_vectsp_1(A, B, F, D), E)=k6_algstr_0(A, F, k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), G, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (v3_bilinear(G, A, B, C) => k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), G, D, k3_vectsp_1(A, C, F, E))=k6_algstr_0(A, F, k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), G, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v6_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v4_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) => k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), D, k4_struct_0(B), E)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ).
fof(t34_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v6_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v3_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), D, E, k4_struct_0(C))=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ).
fof(t35_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v2_bilinear(G, A, B, C) &  (v4_bilinear(G, A, B, C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) )  => k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), G, k5_algstr_0(B, D, E), F)=k5_algstr_0(A, k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), G, D, F), k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), G, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v1_bilinear(G, A, B, C) &  (v3_bilinear(G, A, B, C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) )  => k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), G, D, k5_algstr_0(C, E, F))=k5_algstr_0(A, k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), G, D, E), k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), G, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(C)) =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v1_bilinear(H, A, B, C) &  (v2_bilinear(H, A, B, C) &  (v3_bilinear(H, A, B, C) &  (v4_bilinear(H, A, B, C) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) )  => k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), H, k5_algstr_0(B, D, E), k5_algstr_0(C, F, G))=k5_algstr_0(A, k5_algstr_0(A, k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), H, D, F), k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), H, D, G)), k5_algstr_0(A, k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), H, E, F), k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), H, E, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(C)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v1_bilinear(J, A, B, C) &  (v2_bilinear(J, A, B, C) &  (v3_bilinear(J, A, B, C) &  (v4_bilinear(J, A, B, C) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) )  => k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), J, k1_algstr_0(B, D, k3_vectsp_1(A, B, H, E)), k1_algstr_0(C, F, k3_vectsp_1(A, C, I, G)))=k1_algstr_0(A, k1_algstr_0(A, k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), J, D, F), k6_algstr_0(A, I, k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), J, D, G))), k1_algstr_0(A, k6_algstr_0(A, H, k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), J, E, F)), k6_algstr_0(A, H, k6_algstr_0(A, I, k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), J, E, G)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(C)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v1_bilinear(J, A, B, C) &  (v2_bilinear(J, A, B, C) &  (v3_bilinear(J, A, B, C) &  (v4_bilinear(J, A, B, C) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) )  => k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), J, k5_algstr_0(B, D, k3_vectsp_1(A, B, H, E)), k5_algstr_0(C, F, k3_vectsp_1(A, C, I, G)))=k5_algstr_0(A, k5_algstr_0(A, k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), J, D, F), k6_algstr_0(A, I, k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), J, D, G))), k5_algstr_0(A, k6_algstr_0(A, H, k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), J, E, F)), k6_algstr_0(A, H, k6_algstr_0(A, I, k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), J, E, G)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  ( (v1_bilinear(D, A, B, C) | v2_bilinear(D, A, B, C))  =>  (v3_funct_1(D) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) => k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), D, E, F)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_bilinear, axiom,  (! [A] :  (l2_struct_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A))))) )  =>  (r1_tarski(k10_bilinear(A, B, B, C), k12_bilinear(A, B, C)) & r1_tarski(k11_bilinear(A, B, B, C), k12_bilinear(A, B, C))) ) ) ) ) ) ) ).
fof(t42_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v2_bilinear(D, A, B, C) &  (v4_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) )  => v1_vectsp_4(k10_bilinear(A, B, C, D), A, B)) ) ) ) ) ) ) ) ).
fof(t43_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v1_bilinear(D, A, B, C) &  (v3_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) )  => v1_vectsp_4(k11_bilinear(A, B, C, D), A, C)) ) ) ) ) ) ) ) ).
fof(d18_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v2_bilinear(D, A, B, C) &  (v4_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) )  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v7_vectsp_1(E, A) & m1_vectsp_4(E, A, B)) )  =>  (E=k13_bilinear(A, B, C, D) <=> u1_struct_0(E)=k10_bilinear(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v1_bilinear(D, A, B, C) &  (v3_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) )  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v7_vectsp_1(E, A) & m1_vectsp_4(E, A, C)) )  =>  (E=k14_bilinear(A, B, C, D) <=> u1_struct_0(E)=k11_bilinear(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d20_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v2_bilinear(D, A, B, C) &  (v4_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(u1_struct_0(k6_vectsp10(A, B, k13_bilinear(A, B, C, D))), u1_struct_0(C)), u1_struct_0(A)) &  (v2_bilinear(E, A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), C) &  (v4_bilinear(E, A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_vectsp10(A, B, k13_bilinear(A, B, C, D))), u1_struct_0(C)), u1_struct_0(A))))) ) ) )  =>  (E=k15_bilinear(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(k6_vectsp10(A, B, k13_bilinear(A, B, C, D)))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(C)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  (F=k3_vectsp_4(A, B, H, k13_bilinear(A, B, C, D)) => k2_binop_1(u1_struct_0(k6_vectsp10(A, B, k13_bilinear(A, B, C, D))), u1_struct_0(C), u1_struct_0(A), E, F, G)=k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), D, H, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d21_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v1_bilinear(D, A, B, C) &  (v3_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(k6_vectsp10(A, C, k14_bilinear(A, B, C, D)))), u1_struct_0(A)) &  (v1_bilinear(E, A, B, k6_vectsp10(A, C, k14_bilinear(A, B, C, D))) &  (v3_bilinear(E, A, B, k6_vectsp10(A, C, k14_bilinear(A, B, C, D))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(k6_vectsp10(A, C, k14_bilinear(A, B, C, D)))), u1_struct_0(A))))) ) ) )  =>  (E=k16_bilinear(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(k6_vectsp10(A, C, k14_bilinear(A, B, C, D)))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(C)) =>  (F=k3_vectsp_4(A, C, H, k14_bilinear(A, B, C, D)) => k2_binop_1(u1_struct_0(B), u1_struct_0(k6_vectsp10(A, C, k14_bilinear(A, B, C, D))), u1_struct_0(A), E, G, F)=k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), D, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d22_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v1_bilinear(D, A, B, C) &  (v2_bilinear(D, A, B, C) &  (v3_bilinear(D, A, B, C) &  (v4_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(u1_struct_0(k6_vectsp10(A, B, k13_bilinear(A, B, C, D))), u1_struct_0(k6_vectsp10(A, C, k14_bilinear(A, B, C, D)))), u1_struct_0(A)) &  (v1_bilinear(E, A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), k6_vectsp10(A, C, k14_bilinear(A, B, C, D))) &  (v2_bilinear(E, A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), k6_vectsp10(A, C, k14_bilinear(A, B, C, D))) &  (v3_bilinear(E, A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), k6_vectsp10(A, C, k14_bilinear(A, B, C, D))) &  (v4_bilinear(E, A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), k6_vectsp10(A, C, k14_bilinear(A, B, C, D))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_vectsp10(A, B, k13_bilinear(A, B, C, D))), u1_struct_0(k6_vectsp10(A, C, k14_bilinear(A, B, C, D)))), u1_struct_0(A))))) ) ) ) ) )  =>  (E=k17_bilinear(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(k6_vectsp10(A, B, k13_bilinear(A, B, C, D)))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k6_vectsp10(A, C, k14_bilinear(A, B, C, D)))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(C)) =>  ( (F=k3_vectsp_4(A, B, H, k13_bilinear(A, B, C, D)) & G=k3_vectsp_4(A, C, I, k14_bilinear(A, B, C, D)))  => k2_binop_1(u1_struct_0(k6_vectsp10(A, B, k13_bilinear(A, B, C, D))), u1_struct_0(k6_vectsp10(A, C, k14_bilinear(A, B, C, D))), u1_struct_0(A), E, F, G)=k2_binop_1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(A), D, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v2_bilinear(D, A, B, C) &  (v4_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) )  => k11_bilinear(A, B, C, D)=k11_bilinear(A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), C, k15_bilinear(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t45_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v1_bilinear(D, A, B, C) &  (v3_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) )  => k10_bilinear(A, B, C, D)=k10_bilinear(A, B, k6_vectsp10(A, C, k14_bilinear(A, B, C, D)), k16_bilinear(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t46_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v1_bilinear(D, A, B, C) &  (v2_bilinear(D, A, B, C) &  (v3_bilinear(D, A, B, C) &  (v4_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) )  => k14_bilinear(A, B, C, D)=k14_bilinear(A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), C, k15_bilinear(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t47_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v1_bilinear(D, A, B, C) &  (v2_bilinear(D, A, B, C) &  (v3_bilinear(D, A, B, C) &  (v4_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) )  => k13_bilinear(A, B, C, D)=k13_bilinear(A, B, k6_vectsp10(A, C, k14_bilinear(A, B, C, D)), k16_bilinear(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t48_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v1_bilinear(D, A, B, C) &  (v2_bilinear(D, A, B, C) &  (v3_bilinear(D, A, B, C) &  (v4_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) )  =>  (r1_funct_2(k2_zfmisc_1(u1_struct_0(k6_vectsp10(A, B, k13_bilinear(A, B, C, D))), u1_struct_0(k6_vectsp10(A, C, k14_bilinear(A, B, C, D)))), u1_struct_0(A), k2_zfmisc_1(u1_struct_0(k6_vectsp10(A, B, k13_bilinear(A, B, C, D))), u1_struct_0(k6_vectsp10(A, C, k14_bilinear(A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), C, k15_bilinear(A, B, C, D))))), u1_struct_0(A), k17_bilinear(A, B, C, D), k16_bilinear(A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), C, k15_bilinear(A, B, C, D))) & r1_funct_2(k2_zfmisc_1(u1_struct_0(k6_vectsp10(A, B, k13_bilinear(A, B, C, D))), u1_struct_0(k6_vectsp10(A, C, k14_bilinear(A, B, C, D)))), u1_struct_0(A), k2_zfmisc_1(u1_struct_0(k6_vectsp10(A, B, k13_bilinear(A, B, k6_vectsp10(A, C, k14_bilinear(A, B, C, D)), k16_bilinear(A, B, C, D)))), u1_struct_0(k6_vectsp10(A, C, k14_bilinear(A, B, C, D)))), u1_struct_0(A), k17_bilinear(A, B, C, D), k15_bilinear(A, B, k6_vectsp10(A, C, k14_bilinear(A, B, C, D)), k16_bilinear(A, B, C, D)))) ) ) ) ) ) ) ) ) ).
fof(t49_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v1_bilinear(D, A, B, C) &  (v2_bilinear(D, A, B, C) &  (v3_bilinear(D, A, B, C) &  (v4_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) )  =>  (k10_bilinear(A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), k6_vectsp10(A, C, k14_bilinear(A, B, C, D)), k17_bilinear(A, B, C, D))=k10_bilinear(A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), k6_vectsp10(A, C, k14_bilinear(A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), C, k15_bilinear(A, B, C, D))), k16_bilinear(A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), C, k15_bilinear(A, B, C, D))) &  (k11_bilinear(A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), k6_vectsp10(A, C, k14_bilinear(A, B, C, D)), k17_bilinear(A, B, C, D))=k11_bilinear(A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), k6_vectsp10(A, C, k14_bilinear(A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), C, k15_bilinear(A, B, C, D))), k16_bilinear(A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), C, k15_bilinear(A, B, C, D))) &  (k10_bilinear(A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), k6_vectsp10(A, C, k14_bilinear(A, B, C, D)), k17_bilinear(A, B, C, D))=k10_bilinear(A, k6_vectsp10(A, B, k13_bilinear(A, B, k6_vectsp10(A, C, k14_bilinear(A, B, C, D)), k16_bilinear(A, B, C, D))), k6_vectsp10(A, C, k14_bilinear(A, B, C, D)), k15_bilinear(A, B, k6_vectsp10(A, C, k14_bilinear(A, B, C, D)), k16_bilinear(A, B, C, D))) & k11_bilinear(A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), k6_vectsp10(A, C, k14_bilinear(A, B, C, D)), k17_bilinear(A, B, C, D))=k11_bilinear(A, k6_vectsp10(A, B, k13_bilinear(A, B, k6_vectsp10(A, C, k14_bilinear(A, B, C, D)), k16_bilinear(A, B, C, D))), k6_vectsp10(A, C, k14_bilinear(A, B, C, D)), k15_bilinear(A, B, k6_vectsp10(A, C, k14_bilinear(A, B, C, D)), k16_bilinear(A, B, C, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) )  => r1_tarski(k8_vectsp10(B, A, D), k10_bilinear(A, B, C, k9_bilinear(A, B, C, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t51_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) )  =>  ( ~ (E=k7_hahnban1(A, C))  => k10_bilinear(A, B, C, k9_bilinear(A, B, C, D, E))=k8_vectsp10(B, A, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) )  => r1_tarski(k8_vectsp10(C, A, E), k11_bilinear(A, B, C, k9_bilinear(A, B, C, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t53_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) )  =>  ( ~ (D=k7_hahnban1(A, B))  => k11_bilinear(A, B, C, k9_bilinear(A, B, C, D, E))=k8_vectsp10(C, A, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) &  (v13_vectsp_1(D, B, A) &  (v1_hahnban1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) )  =>  ( ~ (E=k7_hahnban1(A, C))  =>  (k13_bilinear(A, B, C, k9_bilinear(A, B, C, D, E))=k9_vectsp10(A, B, D) & r1_funct_2(k2_zfmisc_1(u1_struct_0(k6_vectsp10(A, B, k13_bilinear(A, B, C, k9_bilinear(A, B, C, D, E)))), u1_struct_0(C)), u1_struct_0(A), k2_zfmisc_1(u1_struct_0(k6_vectsp10(A, B, k9_vectsp10(A, B, D))), u1_struct_0(C)), u1_struct_0(A), k15_bilinear(A, B, C, k9_bilinear(A, B, C, D, E)), k9_bilinear(A, k6_vectsp10(A, B, k9_vectsp10(A, B, D)), C, k11_vectsp10(A, B, D), E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(A)) &  (v13_vectsp_1(E, C, A) &  (v1_hahnban1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) ) ) )  =>  ( ~ (D=k7_hahnban1(A, B))  =>  (k14_bilinear(A, B, C, k9_bilinear(A, B, C, D, E))=k9_vectsp10(A, C, E) & r1_funct_2(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(k6_vectsp10(A, C, k14_bilinear(A, B, C, k9_bilinear(A, B, C, D, E))))), u1_struct_0(A), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(k6_vectsp10(A, C, k9_vectsp10(A, C, E)))), u1_struct_0(A), k16_bilinear(A, B, C, k9_bilinear(A, B, C, D, E)), k9_bilinear(A, B, k6_vectsp10(A, C, k9_vectsp10(A, C, E)), D, k11_vectsp10(A, C, E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  ( ~ (v3_funct_1(D))  &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) &  (v13_vectsp_1(D, B, A) &  (v1_hahnban1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  ( ~ (v3_funct_1(E))  &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(A)) &  (v13_vectsp_1(E, C, A) &  (v1_hahnban1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) ) ) ) )  => r1_funct_2(k2_zfmisc_1(u1_struct_0(k6_vectsp10(A, B, k13_bilinear(A, B, C, k9_bilinear(A, B, C, D, E)))), u1_struct_0(k6_vectsp10(A, C, k14_bilinear(A, B, C, k9_bilinear(A, B, C, D, E))))), u1_struct_0(A), k2_zfmisc_1(u1_struct_0(k6_vectsp10(A, B, k9_vectsp10(A, B, D))), u1_struct_0(k6_vectsp10(A, C, k9_vectsp10(A, C, E)))), u1_struct_0(A), k17_bilinear(A, B, C, k9_bilinear(A, B, C, D, E)), k9_bilinear(A, k6_vectsp10(A, B, k9_vectsp10(A, B, D)), k6_vectsp10(A, C, k9_vectsp10(A, C, E)), k11_vectsp10(A, B, D), k11_vectsp10(A, C, E)))) ) ) ) ) ) ) ) ) ) ).
fof(d23_bilinear, axiom,  (! [A] :  (l2_struct_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (v5_bilinear(D, A, B, C) <=>  ~ (k10_bilinear(A, B, C, D)=k6_domain_1(u1_struct_0(B), k4_struct_0(B))) ) ) ) ) ) ) ) ) ) ).
fof(d24_bilinear, axiom,  (! [A] :  (l2_struct_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  =>  (v6_bilinear(D, A, B, C) <=>  ~ (k11_bilinear(A, B, C, D)=k6_domain_1(u1_struct_0(C), k4_struct_0(C))) ) ) ) ) ) ) ) ) ) ).
fof(d25_bilinear, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_vectsp_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A))))) )  =>  (v7_bilinear(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => k1_binop_1(C, D, E)=k1_binop_1(C, E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d26_bilinear, axiom,  (! [A] :  (l2_struct_0(A) =>  (! [B] :  (l1_vectsp_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A))))) )  =>  (v8_bilinear(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k1_binop_1(C, D, D)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ).
fof(t57_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) &  (v1_bilinear(C, A, B, B) &  (v2_bilinear(C, A, B, B) &  (v3_bilinear(C, A, B, B) &  (v4_bilinear(C, A, B, B) &  (v7_bilinear(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A))))) ) ) ) ) ) )  => k10_bilinear(A, B, B, C)=k11_bilinear(A, B, B, C)) ) ) ) ) ) ).
fof(t58_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) &  (v1_bilinear(C, A, B, B) &  (v2_bilinear(C, A, B, B) &  (v8_bilinear(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A))))) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => k2_binop_1(u1_struct_0(B), u1_struct_0(B), u1_struct_0(A), C, D, E)=k4_algstr_0(A, k2_binop_1(u1_struct_0(B), u1_struct_0(B), u1_struct_0(A), C, E, D))) ) ) ) ) ) ) ) ) ) ).
fof(d27_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v12_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) &  (v1_bilinear(C, A, B, B) &  (v2_bilinear(C, A, B, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A))))) ) ) )  =>  (v8_bilinear(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => k2_binop_1(u1_struct_0(B), u1_struct_0(B), u1_struct_0(A), C, D, E)=k4_algstr_0(A, k2_binop_1(u1_struct_0(B), u1_struct_0(B), u1_struct_0(A), C, E, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_bilinear, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) &  (v1_bilinear(C, A, B, B) &  (v2_bilinear(C, A, B, B) &  (v3_bilinear(C, A, B, B) &  (v4_bilinear(C, A, B, B) &  (v8_bilinear(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A))))) ) ) ) ) ) )  => k10_bilinear(A, B, B, C)=k11_bilinear(A, B, B, C)) ) ) ) ) ) ).
fof(dt_k1_bilinear, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  &  (l1_vectsp_1(B, A) & l1_vectsp_1(C, A)) )  =>  (v1_funct_1(k1_bilinear(A, B, C)) &  (v1_funct_2(k1_bilinear(A, B, C), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(k1_bilinear(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ).
fof(dt_k2_bilinear, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) )  =>  (v1_funct_1(k2_bilinear(A, B, C, D, E)) &  (v1_funct_2(k2_bilinear(A, B, C, D, E), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(k2_bilinear(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ).
fof(dt_k3_bilinear, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  & m1_subset_1(E, u1_struct_0(A))) ) ) )  =>  (v1_funct_1(k3_bilinear(A, B, C, D, E)) &  (v1_funct_2(k3_bilinear(A, B, C, D, E), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(k3_bilinear(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ).
fof(dt_k4_bilinear, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k4_bilinear(A, B, C, D)) &  (v1_funct_2(k4_bilinear(A, B, C, D), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(k4_bilinear(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ).
fof(dt_k5_bilinear, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) )  =>  (v1_funct_1(k5_bilinear(A, B, C, D, E)) &  (v1_funct_2(k5_bilinear(A, B, C, D, E), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(k5_bilinear(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ).
fof(dt_k6_bilinear, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) & l2_algstr_0(A)) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) )  =>  (v1_funct_1(k6_bilinear(A, B, C, D, E)) &  (v1_funct_2(k6_bilinear(A, B, C, D, E), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(k6_bilinear(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ).
fof(commutativity_k6_bilinear, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) & l2_algstr_0(A)) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) )  => k6_bilinear(A, B, C, D, E)=k6_bilinear(A, B, C, E, D)) ) ).
fof(redefinition_k6_bilinear, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) & l2_algstr_0(A)) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) )  => k6_bilinear(A, B, C, D, E)=k2_bilinear(A, B, C, D, E)) ) ).
fof(dt_k7_bilinear, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  & m1_subset_1(E, u1_struct_0(B))) ) ) )  =>  (v1_funct_1(k7_bilinear(A, B, C, D, E)) &  (v1_funct_2(k7_bilinear(A, B, C, D, E), u1_struct_0(C), u1_struct_0(A)) & m1_subset_1(k7_bilinear(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) ) ) ) ).
fof(dt_k8_bilinear, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  & m1_subset_1(E, u1_struct_0(C))) ) ) )  =>  (v1_funct_1(k8_bilinear(A, B, C, D, E)) &  (v1_funct_2(k8_bilinear(A, B, C, D, E), u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(k8_bilinear(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) ) ) ).
fof(dt_k9_bilinear, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) ) ) ) ) )  =>  (v1_funct_1(k9_bilinear(A, B, C, D, E)) &  (v1_funct_2(k9_bilinear(A, B, C, D, E), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(k9_bilinear(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ).
fof(dt_k10_bilinear, axiom,  (! [A, B, C, D] :  ( (l2_struct_0(A) &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) )  => m1_subset_1(k10_bilinear(A, B, C, D), k1_zfmisc_1(u1_struct_0(B)))) ) ).
fof(dt_k11_bilinear, axiom,  (! [A, B, C, D] :  ( (l2_struct_0(A) &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) )  => m1_subset_1(k11_bilinear(A, B, C, D), k1_zfmisc_1(u1_struct_0(C)))) ) ).
fof(dt_k12_bilinear, axiom,  (! [A, B, C] :  ( (l2_struct_0(A) &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A))))) ) ) )  => m1_subset_1(k12_bilinear(A, B, C), k1_zfmisc_1(u1_struct_0(B)))) ) ).
fof(dt_k13_bilinear, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v2_bilinear(D, A, B, C) &  (v4_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k13_bilinear(A, B, C, D)))  &  (v7_vectsp_1(k13_bilinear(A, B, C, D), A) & m1_vectsp_4(k13_bilinear(A, B, C, D), A, B)) ) ) ) ).
fof(dt_k14_bilinear, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v1_bilinear(D, A, B, C) &  (v3_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k14_bilinear(A, B, C, D)))  &  (v7_vectsp_1(k14_bilinear(A, B, C, D), A) & m1_vectsp_4(k14_bilinear(A, B, C, D), A, C)) ) ) ) ).
fof(dt_k15_bilinear, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v2_bilinear(D, A, B, C) &  (v4_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) ) )  =>  (v1_funct_1(k15_bilinear(A, B, C, D)) &  (v1_funct_2(k15_bilinear(A, B, C, D), k2_zfmisc_1(u1_struct_0(k6_vectsp10(A, B, k13_bilinear(A, B, C, D))), u1_struct_0(C)), u1_struct_0(A)) &  (v2_bilinear(k15_bilinear(A, B, C, D), A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), C) &  (v4_bilinear(k15_bilinear(A, B, C, D), A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), C) & m1_subset_1(k15_bilinear(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_vectsp10(A, B, k13_bilinear(A, B, C, D))), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) ) ).
fof(dt_k16_bilinear, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v1_bilinear(D, A, B, C) &  (v3_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) ) )  =>  (v1_funct_1(k16_bilinear(A, B, C, D)) &  (v1_funct_2(k16_bilinear(A, B, C, D), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(k6_vectsp10(A, C, k14_bilinear(A, B, C, D)))), u1_struct_0(A)) &  (v1_bilinear(k16_bilinear(A, B, C, D), A, B, k6_vectsp10(A, C, k14_bilinear(A, B, C, D))) &  (v3_bilinear(k16_bilinear(A, B, C, D), A, B, k6_vectsp10(A, C, k14_bilinear(A, B, C, D))) & m1_subset_1(k16_bilinear(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(k6_vectsp10(A, C, k14_bilinear(A, B, C, D)))), u1_struct_0(A))))) ) ) ) ) ) ).
fof(dt_k17_bilinear, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) &  (v1_bilinear(D, A, B, C) &  (v2_bilinear(D, A, B, C) &  (v3_bilinear(D, A, B, C) &  (v4_bilinear(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k17_bilinear(A, B, C, D)) &  (v1_funct_2(k17_bilinear(A, B, C, D), k2_zfmisc_1(u1_struct_0(k6_vectsp10(A, B, k13_bilinear(A, B, C, D))), u1_struct_0(k6_vectsp10(A, C, k14_bilinear(A, B, C, D)))), u1_struct_0(A)) &  (v1_bilinear(k17_bilinear(A, B, C, D), A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), k6_vectsp10(A, C, k14_bilinear(A, B, C, D))) &  (v2_bilinear(k17_bilinear(A, B, C, D), A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), k6_vectsp10(A, C, k14_bilinear(A, B, C, D))) &  (v3_bilinear(k17_bilinear(A, B, C, D), A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), k6_vectsp10(A, C, k14_bilinear(A, B, C, D))) &  (v4_bilinear(k17_bilinear(A, B, C, D), A, k6_vectsp10(A, B, k13_bilinear(A, B, C, D)), k6_vectsp10(A, C, k14_bilinear(A, B, C, D))) & m1_subset_1(k17_bilinear(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_vectsp10(A, B, k13_bilinear(A, B, C, D))), u1_struct_0(k6_vectsp10(A, C, k14_bilinear(A, B, C, D)))), u1_struct_0(A))))) ) ) ) ) ) ) ) ).
fof(d15_bilinear, axiom,  (! [A] :  (l2_struct_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  => k10_bilinear(A, B, C, D)=a_4_0_bilinear(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(d16_bilinear, axiom,  (! [A] :  (l2_struct_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u1_struct_0(A))))) )  => k11_bilinear(A, B, C, D)=a_4_1_bilinear(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(d17_bilinear, axiom,  (! [A] :  (l2_struct_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A))))) )  => k12_bilinear(A, B, C)=a_3_0_bilinear(A, B, C)) ) ) ) ) ) ).
fof(fraenkel_a_4_0_bilinear, axiom,  (! [A, B, C, D, E] :  ( (l2_struct_0(B) &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, B))  &  ( ( ~ (v2_struct_0(D))  & l1_vectsp_1(D, B))  &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D)), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D)), u1_struct_0(B))))) ) ) ) )  =>  (r2_hidden(A, a_4_0_bilinear(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(C)) &  (A=F &  (! [G] :  (m1_subset_1(G, u1_struct_0(D)) => k2_binop_1(u1_struct_0(C), u1_struct_0(D), u1_struct_0(B), E, F, G)=k4_struct_0(B)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_1_bilinear, axiom,  (! [A, B, C, D, E] :  ( (l2_struct_0(B) &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, B))  &  ( ( ~ (v2_struct_0(D))  & l1_vectsp_1(D, B))  &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D)), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D)), u1_struct_0(B))))) ) ) ) )  =>  (r2_hidden(A, a_4_1_bilinear(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(D)) &  (A=F &  (! [G] :  (m1_subset_1(G, u1_struct_0(C)) => k2_binop_1(u1_struct_0(C), u1_struct_0(D), u1_struct_0(B), E, G, F)=k4_struct_0(B)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_bilinear, axiom,  (! [A, B, C, D] :  ( (l2_struct_0(B) &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, B))  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(C), u1_struct_0(C)), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(C)), u1_struct_0(B))))) ) ) )  =>  (r2_hidden(A, a_3_0_bilinear(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(C)) &  (A=E & k2_binop_1(u1_struct_0(C), u1_struct_0(C), u1_struct_0(B), D, E, E)=k4_struct_0(B)) ) ) ) ) ) ).
fof(d1_binari_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (B=k1_binari_2(A) <=>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k2_finseq_1(A)) => k7_partfun1(k5_margrel1, B, C)=k16_funcop_1(k5_margrel1, C, 1, k7_margrel1, k6_margrel1)) ) ) ) ) ) ) ) ).
fof(d2_binari_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  => k2_binari_2(A, B)=k7_binarith(A, k3_binarith(A, B), k1_binari_2(A))) ) ) ) ).
fof(d3_binari_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  ( (k7_partfun1(k5_margrel1, B, A)=k6_margrel1 => k3_binari_2(A, B)=k6_binarith(A, B))  &  ( ~ (k7_partfun1(k5_margrel1, B, A)=k6_margrel1)  => k3_binari_2(A, B)=k6_xcmplx_0(k6_binarith(A, B), k5_series_1(2, A))) ) ) ) ) ) ).
fof(d4_binari_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k5_margrel1))  => k4_binari_2(A, B, C)=k9_margrel1(k9_margrel1(k8_margrel1(k7_partfun1(k5_margrel1, B, A)), k8_margrel1(k7_partfun1(k5_margrel1, C, A))), k7_partfun1(k5_margrel1, k4_binarith(A, B, C), A))) ) ) ) ) ) ).
fof(d5_binari_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k5_margrel1))  => k5_binari_2(A, B, C)=k9_margrel1(k9_margrel1(k7_partfun1(k5_margrel1, B, A), k7_partfun1(k5_margrel1, C, A)), k8_margrel1(k7_partfun1(k5_margrel1, k4_binarith(A, B, C), A)))) ) ) ) ) ) ).
fof(t1_binari_2, axiom,  (! [A] :  ( (v3_card_1(A, 2) & m2_finseq_1(A, k5_margrel1))  =>  (A=k9_binarith(1, 1, k5_margrel1, k10_binarith(k5_margrel1, k6_margrel1), k10_binarith(k5_margrel1, k6_margrel1)) => k3_binari_2(2, A)=k5_numbers) ) ) ).
fof(t2_binari_2, axiom,  (! [A] :  ( (v3_card_1(A, 2) & m2_finseq_1(A, k5_margrel1))  =>  (A=k9_binarith(1, 1, k5_margrel1, k10_binarith(k5_margrel1, k7_margrel1), k10_binarith(k5_margrel1, k6_margrel1)) => k3_binari_2(2, A)=1) ) ) ).
fof(t3_binari_2, axiom,  (! [A] :  ( (v3_card_1(A, 2) & m2_finseq_1(A, k5_margrel1))  =>  (A=k9_binarith(1, 1, k5_margrel1, k10_binarith(k5_margrel1, k6_margrel1), k10_binarith(k5_margrel1, k7_margrel1)) => k3_binari_2(2, A)=k4_xcmplx_0(2)) ) ) ).
fof(t4_binari_2, axiom,  (! [A] :  ( (v3_card_1(A, 2) & m2_finseq_1(A, k5_margrel1))  =>  (A=k9_binarith(1, 1, k5_margrel1, k10_binarith(k5_margrel1, k7_margrel1), k10_binarith(k5_margrel1, k7_margrel1)) => k3_binari_2(2, A)=k4_xcmplx_0(1)) ) ) ).
fof(t5_binari_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r2_tarski(B, k2_finseq_1(A)) & B=1)  => k7_partfun1(k5_margrel1, k1_binari_2(A), B)=k7_margrel1) ) ) ) ) ).
fof(t6_binari_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k2_finseq_1(A)) =>  (B=1 | k7_partfun1(k5_margrel1, k1_binari_2(A), B)=k6_margrel1) ) ) ) ) ) ).
fof(t7_binari_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => k1_binari_2(k1_nat_1(A, 1))=k9_binarith(A, 1, k5_margrel1, k1_binari_2(A), k10_binarith(k5_margrel1, k6_margrel1))) ) ).
fof(t8_binari_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => k3_binari_2(k2_xcmplx_0(A, 1), k9_binarith(A, 1, k5_margrel1, k1_binari_2(A), k10_binarith(k5_margrel1, k6_margrel1)))=1) ) ).
fof(t9_binari_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (! [C] :  (m1_subset_1(C, k5_margrel1) => k3_binarith(k2_xcmplx_0(A, 1), k9_binarith(A, 1, k5_margrel1, B, k10_binarith(k5_margrel1, C)))=k9_binarith(A, 1, k5_margrel1, k3_binarith(A, B), k10_binarith(k5_margrel1, k8_margrel1(C)))) ) ) ) ) ) ).
fof(t10_binari_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (! [C] :  (m1_subset_1(C, k5_margrel1) => k3_binari_2(k2_xcmplx_0(A, 1), k9_binarith(A, 1, k5_margrel1, B, k10_binarith(k5_margrel1, C)))=k6_xcmplx_0(k6_binarith(A, B), k16_funcop_1(k4_ordinal1, C, k6_margrel1, k5_numbers, k5_series_1(2, A)))) ) ) ) ) ) ).
fof(t11_binari_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k5_margrel1))  =>  (! [D] :  (m1_subset_1(D, k5_margrel1) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) => k6_xcmplx_0(k2_xcmplx_0(k3_binari_2(k2_xcmplx_0(A, 1), k7_binarith(k2_xcmplx_0(A, 1), k9_binarith(A, 1, k5_margrel1, B, k10_binarith(k5_margrel1, D)), k9_binarith(A, 1, k5_margrel1, C, k10_binarith(k5_margrel1, E)))), k16_funcop_1(k4_ordinal1, k4_binari_2(k2_xcmplx_0(A, 1), k9_binarith(A, 1, k5_margrel1, B, k10_binarith(k5_margrel1, D)), k9_binarith(A, 1, k5_margrel1, C, k10_binarith(k5_margrel1, E))), k6_margrel1, k5_numbers, k5_series_1(2, k1_nat_1(A, 1)))), k16_funcop_1(k4_ordinal1, k5_binari_2(k2_xcmplx_0(A, 1), k9_binarith(A, 1, k5_margrel1, B, k10_binarith(k5_margrel1, D)), k9_binarith(A, 1, k5_margrel1, C, k10_binarith(k5_margrel1, E))), k6_margrel1, k5_numbers, k5_series_1(2, k1_nat_1(A, 1))))=k2_xcmplx_0(k3_binari_2(k2_xcmplx_0(A, 1), k9_binarith(A, 1, k5_margrel1, B, k10_binarith(k5_margrel1, D))), k3_binari_2(k2_xcmplx_0(A, 1), k9_binarith(A, 1, k5_margrel1, C, k10_binarith(k5_margrel1, E))))) ) ) ) ) ) ) ) ) ) ).
fof(t12_binari_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k5_margrel1))  =>  (! [D] :  (m1_subset_1(D, k5_margrel1) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) => k3_binari_2(k2_xcmplx_0(A, 1), k7_binarith(k2_xcmplx_0(A, 1), k9_binarith(A, 1, k5_margrel1, B, k10_binarith(k5_margrel1, D)), k9_binarith(A, 1, k5_margrel1, C, k10_binarith(k5_margrel1, E))))=k2_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k3_binari_2(k2_xcmplx_0(A, 1), k9_binarith(A, 1, k5_margrel1, B, k10_binarith(k5_margrel1, D))), k3_binari_2(k2_xcmplx_0(A, 1), k9_binarith(A, 1, k5_margrel1, C, k10_binarith(k5_margrel1, E)))), k16_funcop_1(k4_ordinal1, k4_binari_2(k2_xcmplx_0(A, 1), k9_binarith(A, 1, k5_margrel1, B, k10_binarith(k5_margrel1, D)), k9_binarith(A, 1, k5_margrel1, C, k10_binarith(k5_margrel1, E))), k6_margrel1, k5_numbers, k5_series_1(2, k1_nat_1(A, 1)))), k16_funcop_1(k4_ordinal1, k5_binari_2(k2_xcmplx_0(A, 1), k9_binarith(A, 1, k5_margrel1, B, k10_binarith(k5_margrel1, D)), k9_binarith(A, 1, k5_margrel1, C, k10_binarith(k5_margrel1, E))), k6_margrel1, k5_numbers, k5_series_1(2, k1_nat_1(A, 1))))) ) ) ) ) ) ) ) ) ) ).
fof(t13_binari_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  => k6_binarith(A, k3_binarith(A, B))=k6_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(k6_binarith(A, B)), k5_series_1(2, A)), 1)) ) ) ) ).
fof(t14_binari_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (! [C] :  (m1_subset_1(C, k5_margrel1) => k2_binari_2(k2_xcmplx_0(A, 1), k9_binarith(A, 1, k5_margrel1, B, k10_binarith(k5_margrel1, C)))=k9_binarith(A, 1, k5_margrel1, k2_binari_2(A, B), k10_binarith(k5_margrel1, k2_binarith(k8_margrel1(C), k8_binarith(A, k3_binarith(A, B), k1_binari_2(A)))))) ) ) ) ) ) ).
fof(t15_binari_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (! [C] :  (m1_subset_1(C, k5_margrel1) => k2_xcmplx_0(k3_binari_2(k2_xcmplx_0(A, 1), k2_binari_2(k2_xcmplx_0(A, 1), k9_binarith(A, 1, k5_margrel1, B, k10_binarith(k5_margrel1, C)))), k16_funcop_1(k4_ordinal1, k4_binari_2(k1_nat_1(A, 1), k3_binarith(k2_xcmplx_0(A, 1), k9_binarith(A, 1, k5_margrel1, B, k10_binarith(k5_margrel1, C))), k1_binari_2(k1_nat_1(A, 1))), k6_margrel1, k5_numbers, k5_series_1(2, k1_nat_1(A, 1))))=k4_xcmplx_0(k3_binari_2(k2_xcmplx_0(A, 1), k9_binarith(A, 1, k5_margrel1, B, k10_binarith(k5_margrel1, C))))) ) ) ) ) ) ).
fof(t16_binari_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (! [C] :  (m1_subset_1(C, k5_margrel1) => k2_binari_2(k2_xcmplx_0(A, 1), k2_binari_2(k2_xcmplx_0(A, 1), k9_binarith(A, 1, k5_margrel1, B, k10_binarith(k5_margrel1, C))))=k9_binarith(A, 1, k5_margrel1, B, k10_binarith(k5_margrel1, C))) ) ) ) ) ) ).
fof(d6_binari_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k5_margrel1))  =>  (! [D] :  ( (v3_card_1(D, A) & m2_finseq_1(D, k5_margrel1))  =>  (D=k6_binari_2(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k2_finseq_1(A)) => k7_partfun1(k5_margrel1, D, E)=k2_binarith(k2_binarith(k7_partfun1(k5_margrel1, B, E), k7_partfun1(k5_margrel1, k2_binari_2(A, C), E)), k7_partfun1(k5_margrel1, k4_binarith(A, B, k2_binari_2(A, C)), E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_binari_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k5_margrel1))  => k6_binari_2(A, B, C)=k7_binarith(A, B, k2_binari_2(A, C))) ) ) ) ) ) ).
fof(t18_binari_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k5_margrel1))  =>  (! [D] :  (m1_subset_1(D, k5_margrel1) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) => k6_binari_2(k2_xcmplx_0(A, 1), k9_binarith(A, 1, k5_margrel1, B, k10_binarith(k5_margrel1, D)), k9_binarith(A, 1, k5_margrel1, C, k10_binarith(k5_margrel1, E)))=k9_binarith(A, 1, k5_margrel1, k7_binarith(A, B, k2_binari_2(A, C)), k10_binarith(k5_margrel1, k2_binarith(k2_binarith(k2_binarith(D, k8_margrel1(E)), k8_binarith(A, k3_binarith(A, C), k1_binari_2(A))), k8_binarith(A, B, k2_binari_2(A, C)))))) ) ) ) ) ) ) ) ) ) ).
fof(t19_binari_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k5_margrel1))  =>  (! [D] :  (m1_subset_1(D, k5_margrel1) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) => k2_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k3_binari_2(k2_xcmplx_0(A, 1), k6_binari_2(k2_xcmplx_0(A, 1), k9_binarith(A, 1, k5_margrel1, B, k10_binarith(k5_margrel1, D)), k9_binarith(A, 1, k5_margrel1, C, k10_binarith(k5_margrel1, E)))), k16_funcop_1(k4_ordinal1, k4_binari_2(k2_xcmplx_0(A, 1), k9_binarith(A, 1, k5_margrel1, B, k10_binarith(k5_margrel1, D)), k2_binari_2(k2_xcmplx_0(A, 1), k9_binarith(A, 1, k5_margrel1, C, k10_binarith(k5_margrel1, E)))), k6_margrel1, k5_numbers, k5_series_1(2, k1_nat_1(A, 1)))), k16_funcop_1(k4_ordinal1, k5_binari_2(k2_xcmplx_0(A, 1), k9_binarith(A, 1, k5_margrel1, B, k10_binarith(k5_margrel1, D)), k2_binari_2(k2_xcmplx_0(A, 1), k9_binarith(A, 1, k5_margrel1, C, k10_binarith(k5_margrel1, E)))), k6_margrel1, k5_numbers, k5_series_1(2, k1_nat_1(A, 1)))), k16_funcop_1(k4_ordinal1, k4_binari_2(k1_nat_1(A, 1), k3_binarith(k2_xcmplx_0(A, 1), k9_binarith(A, 1, k5_margrel1, C, k10_binarith(k5_margrel1, E))), k1_binari_2(k1_nat_1(A, 1))), k6_margrel1, k5_numbers, k5_series_1(2, k1_nat_1(A, 1))))=k6_xcmplx_0(k3_binari_2(k2_xcmplx_0(A, 1), k9_binarith(A, 1, k5_margrel1, B, k10_binarith(k5_margrel1, D))), k3_binari_2(k2_xcmplx_0(A, 1), k9_binarith(A, 1, k5_margrel1, C, k10_binarith(k5_margrel1, E))))) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_binari_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v3_card_1(k1_binari_2(A), A) & m2_finseq_1(k1_binari_2(A), k5_margrel1)) ) ) ).
fof(dt_k2_binari_2, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (v3_card_1(B, A) & m1_finseq_1(B, k5_margrel1)) )  =>  (v3_card_1(k2_binari_2(A, B), A) & m2_finseq_1(k2_binari_2(A, B), k5_margrel1)) ) ) ).
fof(dt_k3_binari_2, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v3_card_1(B, A) & m1_finseq_1(B, k5_margrel1)) )  => v1_int_1(k3_binari_2(A, B))) ) ).
fof(dt_k4_binari_2, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  ( (v3_card_1(B, A) & m1_finseq_1(B, k5_margrel1))  &  (v3_card_1(C, A) & m1_finseq_1(C, k5_margrel1)) ) )  => m1_subset_1(k4_binari_2(A, B, C), k5_margrel1)) ) ).
fof(dt_k5_binari_2, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  ( (v3_card_1(B, A) & m1_finseq_1(B, k5_margrel1))  &  (v3_card_1(C, A) & m1_finseq_1(C, k5_margrel1)) ) )  => m1_subset_1(k5_binari_2(A, B, C), k5_margrel1)) ) ).
fof(dt_k6_binari_2, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  ( (v3_card_1(B, A) & m1_finseq_1(B, k5_margrel1))  &  (v3_card_1(C, A) & m1_finseq_1(C, k5_margrel1)) ) )  =>  (v3_card_1(k6_binari_2(A, B, C), A) & m2_finseq_1(k6_binari_2(A, B, C), k5_margrel1)) ) ) ).
fof(cc1_binari_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v8_ordinal1(A))  =>  (v7_ordinal1(A) &  ~ (v2_xxreal_0(A)) ) ) ) ).
fof(t1_binari_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  ~ (r1_xxreal_0(k5_series_1(2, A), k6_binarith(A, B))) ) ) ) ) ).
fof(t2_binari_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k5_margrel1))  =>  (k6_binarith(A, B)=k6_binarith(A, C) => B=C) ) ) ) ) ) ) ).
fof(t3_binari_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (k3_finseq_5(A)=k3_finseq_5(B) => A=B) ) ) ) ) ).
fof(t4_binari_3, axiom,  (! [A] :  (v7_ordinal1(A) => r2_hidden(k5_euclid(A), k3_finseq_2(k5_margrel1))) ) ).
fof(t5_binari_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (B=k5_euclid(A) => k3_binarith(A, B)=k5_finseq_2(k4_ordinal1, A, 1)) ) ) ) ) ).
fof(t6_binari_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (B=k5_euclid(A) => k6_binarith(A, B)=k5_numbers) ) ) ) ) ).
fof(t7_binari_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (B=k5_euclid(A) => k6_binarith(A, k3_binarith(A, B))=k6_xcmplx_0(k5_series_1(2, A), 1)) ) ) ) ) ).
fof(t8_binari_3, axiom,  (! [A] :  (v7_ordinal1(A) => k4_finseq_5(k1_numbers, k5_euclid(A))=k5_euclid(A)) ) ).
fof(t9_binari_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (B=k5_euclid(A) => k4_finseq_5(k5_margrel1, k3_binarith(A, B))=k3_binarith(A, B)) ) ) ) ) ).
fof(t10_binari_3, axiom, k1_binari_2(1)=k10_binarith(k5_margrel1, k7_margrel1)).
fof(t11_binari_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => k6_binarith(A, k1_binari_2(A))=1) ) ).
fof(t12_binari_3, axiom,  (! [A] :  (m1_subset_1(A, k5_margrel1) =>  (! [B] :  (m1_subset_1(B, k5_margrel1) =>  ( ~ ( (k1_binarith(A, B)=k7_margrel1 &  ( ~ (A=k7_margrel1)  &  ~ (B=k7_margrel1) ) ) )  &  ( ( (A=k7_margrel1 | B=k7_margrel1)  => k1_binarith(A, B)=k7_margrel1)  &  ( (k1_binarith(A, B)=k6_margrel1 =>  (A=k6_margrel1 & B=k6_margrel1) )  &  ( (A=k6_margrel1 & B=k6_margrel1)  => k1_binarith(A, B)=k6_margrel1) ) ) ) ) ) ) ) ).
fof(t13_binari_3, axiom,  (! [A] :  (m1_subset_1(A, k5_margrel1) =>  (! [B] :  (m1_subset_1(B, k5_margrel1) =>  (k8_binarith(1, k10_binarith(k5_margrel1, A), k10_binarith(k5_margrel1, B))=k7_margrel1 <=>  (A=k7_margrel1 & B=k7_margrel1) ) ) ) ) ) ).
fof(t14_binari_3, axiom, k3_binarith(1, k10_binarith(k5_margrel1, k6_margrel1))=k10_binarith(k5_margrel1, k7_margrel1)).
fof(t15_binari_3, axiom, k3_binarith(1, k10_binarith(k5_margrel1, k7_margrel1))=k10_binarith(k5_margrel1, k6_margrel1)).
fof(t16_binari_3, axiom, k7_binarith(1, k10_binarith(k5_margrel1, k6_margrel1), k10_binarith(k5_margrel1, k6_margrel1))=k10_binarith(k5_margrel1, k6_margrel1)).
fof(t17_binari_3, axiom,  (k7_binarith(1, k10_binarith(k5_margrel1, k6_margrel1), k10_binarith(k5_margrel1, k7_margrel1))=k10_binarith(k5_margrel1, k7_margrel1) & k7_binarith(1, k10_binarith(k5_margrel1, k7_margrel1), k10_binarith(k5_margrel1, k6_margrel1))=k10_binarith(k5_margrel1, k7_margrel1)) ).
fof(t18_binari_3, axiom, k7_binarith(1, k10_binarith(k5_margrel1, k7_margrel1), k10_binarith(k5_margrel1, k7_margrel1))=k10_binarith(k5_margrel1, k6_margrel1)).
fof(t19_binari_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k5_margrel1))  =>  ( (k7_partfun1(k5_margrel1, B, A)=k7_margrel1 & k7_partfun1(k5_margrel1, k4_binarith(A, B, k1_binari_2(A)), A)=k7_margrel1)  =>  (! [D] :  ( (v7_ordinal1(D) &  ~ (v8_ordinal1(D)) )  =>  (r1_xxreal_0(D, A) =>  (D=1 |  (k7_partfun1(k5_margrel1, B, D)=k7_margrel1 & k7_partfun1(k5_margrel1, k4_binarith(A, B, k1_binari_2(A)), D)=k7_margrel1) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_binari_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  ( (k7_partfun1(k5_margrel1, B, A)=k7_margrel1 & k7_partfun1(k5_margrel1, k4_binarith(A, B, k1_binari_2(A)), A)=k7_margrel1)  => k4_binarith(A, B, k1_binari_2(A))=k3_binarith(A, k1_binari_2(A))) ) ) ) ) ).
fof(t21_binari_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k5_margrel1))  =>  ( (C=k5_euclid(A) &  (k7_partfun1(k5_margrel1, B, A)=k7_margrel1 & k7_partfun1(k5_margrel1, k4_binarith(A, B, k1_binari_2(A)), A)=k7_margrel1) )  => B=k3_binarith(A, C)) ) ) ) ) ) ) ).
fof(t22_binari_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (B=k5_euclid(A) => k4_binarith(A, k3_binarith(A, B), k1_binari_2(A))=k3_binarith(A, k1_binari_2(A))) ) ) ) ) ).
fof(t23_binari_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k5_margrel1))  =>  (C=k5_euclid(A) =>  (k8_binarith(A, B, k1_binari_2(A))=k7_margrel1 <=> B=k3_binarith(A, C)) ) ) ) ) ) ) ) ).
fof(t24_binari_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (B=k5_euclid(A) => k7_binarith(A, k3_binarith(A, B), k1_binari_2(A))=B) ) ) ) ) ).
fof(d1_binari_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k5_margrel1))  =>  (C=k1_binari_3(A, B) <=>  (! [D] :  (v7_ordinal1(D) =>  (r2_hidden(D, k2_finseq_1(A)) => k7_partfun1(k5_margrel1, C, D)=k16_funcop_1(k5_margrel1, k4_nat_d(k3_nat_d(B, k5_series_1(2, k7_nat_d(D, 1))), 2), k5_numbers, k6_margrel1, k7_margrel1)) ) ) ) ) ) ) ) ) ) ).
fof(t25_binari_3, axiom,  (! [A] :  (v7_ordinal1(A) => k1_binari_3(A, k5_numbers)=k5_euclid(A)) ) ).
fof(t26_binari_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(k5_series_1(2, A), B))  => k1_funct_1(k1_binari_3(k2_xcmplx_0(A, 1), B), k2_xcmplx_0(A, 1))=k6_margrel1) ) ) ) ) ).
fof(t27_binari_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(k5_series_1(2, A), B))  => k1_binari_3(k2_xcmplx_0(A, 1), B)=k9_binarith(A, 1, k5_margrel1, k1_binari_3(A, B), k10_binarith(k5_margrel1, k6_margrel1))) ) ) ) ) ).
fof(t28_binari_3, axiom,  (! [A] :  (v7_ordinal1(A) => k1_binari_3(k2_xcmplx_0(A, 1), k5_series_1(2, A))=k7_finseq_1(k5_euclid(A), k10_binarith(k4_ordinal1, 1))) ) ).
fof(t29_binari_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(k5_series_1(2, A), B) =>  (r1_xxreal_0(k5_series_1(2, k2_xcmplx_0(A, 1)), B) | k1_funct_1(k1_binari_3(k2_xcmplx_0(A, 1), B), k2_xcmplx_0(A, 1))=k7_margrel1) ) ) ) ) ) ).
fof(t30_binari_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(k5_series_1(2, A), B) =>  (r1_xxreal_0(k5_series_1(2, k2_xcmplx_0(A, 1)), B) | k1_binari_3(k2_xcmplx_0(A, 1), B)=k9_binarith(A, 1, k5_margrel1, k1_binari_3(A, k7_nat_d(B, k5_series_1(2, A))), k10_binarith(k5_margrel1, k7_margrel1))) ) ) ) ) ) ).
fof(t31_binari_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(k5_series_1(2, A), B))  =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k5_margrel1))  =>  (C=k5_euclid(A) =>  (k1_binari_3(A, B)=k3_binarith(A, C) <=> B=k6_xcmplx_0(k5_series_1(2, A), 1)) ) ) ) ) ) ) ) ) ).
fof(t32_binari_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(k5_series_1(2, A), k2_xcmplx_0(B, 1)))  => k8_binarith(A, k1_binari_3(A, B), k1_binari_2(A))=k6_margrel1) ) ) ) ) ).
fof(t33_binari_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(k5_series_1(2, A), k2_xcmplx_0(B, 1)))  => k1_binari_3(A, k2_xcmplx_0(B, 1))=k7_binarith(A, k1_binari_3(A, B), k1_binari_2(A))) ) ) ) ) ).
fof(t34_binari_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k1_binari_3(k2_xcmplx_0(A, 1), B)=k7_finseq_1(k10_binarith(k4_ordinal1, k4_nat_d(B, 2)), k1_binari_3(A, k3_nat_d(B, 2)))) ) ) ) ).
fof(t35_binari_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(k5_series_1(2, A), B))  => k6_binarith(A, k1_binari_3(A, B))=B) ) ) ) ) ).
fof(t36_binari_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  => k1_binari_3(A, k6_binarith(A, B))=B) ) ) ) ).
fof(dt_k1_binari_3, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  =>  (v3_card_1(k1_binari_3(A, B), A) & m2_finseq_1(k1_binari_3(A, B), k5_margrel1)) ) ) ).
fof(t1_binari_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => r1_xxreal_0(k2_xcmplx_0(A, 1), k3_xcmplx_0(A, 2))) ) ) ).
fof(t2_binari_4, axiom,  (! [A] :  (v7_ordinal1(A) => r1_xxreal_0(A, k5_series_1(2, A))) ) ).
fof(t3_binari_4, axiom,  (! [A] :  (v7_ordinal1(A) => k7_euclid(A, k5_euclid(A), k5_euclid(A))=k5_euclid(A)) ) ).
fof(t4_binari_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(A, C) &  (r1_xxreal_0(C, B) &  ( ~ (A=C)  &  ~ ( (r1_xxreal_0(k2_xcmplx_0(A, 1), C) & r1_xxreal_0(C, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_binari_4, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k5_margrel1))  =>  ( (B=k5_euclid(A) & C=k5_euclid(A))  => k4_binarith(A, B, C)=k5_euclid(A)) ) ) ) ) ) ) ).
fof(t6_binari_4, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k5_margrel1))  =>  ( (B=k5_euclid(A) & C=k5_euclid(A))  => k7_binarith(A, B, C)=k5_euclid(A)) ) ) ) ) ) ) ).
fof(t7_binari_4, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (B=k5_euclid(A) => k3_binari_2(A, B)=k5_numbers) ) ) ) ) ).
fof(t8_binari_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(k2_xcmplx_0(B, C), k6_xcmplx_0(A, 1)) =>  ( ~ (r1_xxreal_0(A, B))  &  ~ (r1_xxreal_0(A, C)) ) ) ) ) ) ) ) ) ).
fof(t9_binari_4, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (r1_xxreal_0(A, k2_xcmplx_0(B, C)) =>  (r1_xxreal_0(k5_numbers, B) |  (r1_xxreal_0(k5_numbers, C) |  ( ~ (r1_xxreal_0(B, A))  &  ~ (r1_xxreal_0(C, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_binari_4, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(k2_xcmplx_0(B, C), k6_xcmplx_0(k5_series_1(2, A), 1)) => k8_binarith(A, k1_binari_3(A, B), k1_binari_3(A, C))=k6_margrel1) ) ) ) ) ) ) ).
fof(t11_binari_4, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(k2_xcmplx_0(B, C), k6_xcmplx_0(k5_series_1(2, A), 1)) => k6_binarith(A, k7_binarith(A, k1_binari_3(A, B), k1_binari_3(A, C)))=k2_xcmplx_0(B, C)) ) ) ) ) ) ) ).
fof(t12_binari_4, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (k7_partfun1(k5_margrel1, B, A)=k7_margrel1 => r1_xxreal_0(k5_series_1(2, k7_nat_d(A, 1)), k6_binarith(A, B))) ) ) ) ) ).
fof(t13_binari_4, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(k2_xcmplx_0(B, C), k6_xcmplx_0(k5_series_1(2, k7_nat_d(A, 1)), 1)) => k7_partfun1(k5_margrel1, k4_binarith(A, k1_binari_3(A, B), k1_binari_3(A, C)), A)=k6_margrel1) ) ) ) ) ) ) ).
fof(t14_binari_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (r1_xxreal_0(k2_xcmplx_0(A, B), k6_xcmplx_0(k5_series_1(2, k7_nat_d(C, 1)), 1)) => k3_binari_2(C, k7_binarith(C, k1_binari_3(C, A), k1_binari_3(C, B)))=k2_xcmplx_0(A, B)) ) ) ) ) ) ) ).
fof(t15_binari_4, axiom,  (! [A] :  ( (v3_card_1(A, 1) & m2_finseq_1(A, k5_margrel1))  =>  (A=k12_finseq_1(k5_margrel1, k7_margrel1) => k3_binari_2(1, A)=k4_xcmplx_0(1)) ) ) ).
fof(t16_binari_4, axiom,  (! [A] :  ( (v3_card_1(A, 1) & m2_finseq_1(A, k5_margrel1))  =>  (A=k12_finseq_1(k5_margrel1, k6_margrel1) => k3_binari_2(1, A)=k5_numbers) ) ) ).
fof(t17_binari_4, axiom,  (! [A] :  (v1_xboolean(A) => k5_xboolean(k7_margrel1, A)=k7_margrel1) ) ).
fof(t18_binari_4, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (r1_xxreal_0(k5_numbers, k6_xcmplx_0(k5_series_1(2, k7_nat_d(A, 1)), 1)) & r1_xxreal_0(k4_xcmplx_0(k5_series_1(2, k7_nat_d(A, 1))), k5_numbers)) ) ) ).
fof(t19_binari_4, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k5_margrel1))  =>  ( (B=k5_euclid(A) & C=k5_euclid(A))  => r1_binarith(A, B, C)) ) ) ) ) ) ) ).
fof(t20_binari_4, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v1_int_1(B) => k5_int_1(k3_xcmplx_0(B, A), A)=k5_numbers) ) ) ) ).
fof(d1_binari_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (C=k1_binari_4(A, B) <=>  (r1_xxreal_0(B, k5_series_1(2, C)) &  (r1_xxreal_0(A, C) &  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(B, k5_series_1(2, D)) & r1_xxreal_0(A, D))  => r1_xxreal_0(C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_binari_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, A) => r1_xxreal_0(k1_binari_4(C, B), k1_binari_4(C, A))) ) ) ) ) ) ) ).
fof(t22_binari_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(C, B) => r1_xxreal_0(k1_binari_4(C, A), k1_binari_4(B, A))) ) ) ) ) ) ) ).
fof(t23_binari_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) => k1_binari_4(A, 1)=A) ) ) ).
fof(t24_binari_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(A, k5_series_1(2, B)) => k1_binari_4(B, A)=B) ) ) ) ) ).
fof(t25_binari_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_series_1(2, B)))  & r1_xxreal_0(k1_binari_4(B, A), B)) ) ) ) ) ) ).
fof(d2_binari_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  ( ( ~ (r1_xxreal_0(k5_numbers, B))  => k2_binari_4(A, B)=k1_binari_3(A, k1_int_2(k2_xcmplx_0(k5_series_1(2, k1_binari_4(A, k1_int_2(B))), B))))  &  (r1_xxreal_0(k5_numbers, B) => k2_binari_4(A, B)=k1_binari_3(A, k1_int_2(B))) ) ) ) ) ) ).
fof(t26_binari_4, axiom,  (! [A] :  (v7_ordinal1(A) => k2_binari_4(A, k5_numbers)=k5_euclid(A)) ) ).
fof(t27_binari_4, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v1_int_1(B) =>  ( (r1_xxreal_0(B, k6_xcmplx_0(k5_series_1(2, k7_nat_d(A, 1)), 1)) & r1_xxreal_0(k4_xcmplx_0(k5_series_1(2, k7_nat_d(A, 1))), B))  => k3_binari_2(A, k2_binari_4(A, B))=B) ) ) ) ) ).
fof(t28_binari_4, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (k5_int_1(B, k5_series_1(2, A))=k5_int_1(C, k5_series_1(2, A)) =>  ( ( ~ ( (r1_xxreal_0(k5_numbers, B) & r1_xxreal_0(k5_numbers, C)) )  &  ~ ( ( ~ (r1_xxreal_0(k5_numbers, B))  &  ~ (r1_xxreal_0(k5_numbers, C)) ) ) )  | k2_binari_4(A, B)=k2_binari_4(A, C)) ) ) ) ) ) ) ) ).
fof(t29_binari_4, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (r2_int_1(B, C, k5_series_1(2, A)) =>  ( ( ~ ( (r1_xxreal_0(k5_numbers, B) & r1_xxreal_0(k5_numbers, C)) )  &  ~ ( ( ~ (r1_xxreal_0(k5_numbers, B))  &  ~ (r1_xxreal_0(k5_numbers, C)) ) ) )  | k2_binari_4(A, B)=k2_binari_4(A, C)) ) ) ) ) ) ) ) ).
fof(t30_binari_4, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (k4_nat_d(B, k5_series_1(2, A))=k4_nat_d(C, k5_series_1(2, A)) => k1_binari_3(A, B)=k1_binari_3(A, C)) ) ) ) ) ) ) ).
fof(t31_binari_4, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_int_1(B, C, k5_series_1(2, A)) => k1_binari_3(A, B)=k1_binari_3(A, C)) ) ) ) ) ) ) ).
fof(t32_binari_4, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, A))  => k7_partfun1(k5_margrel1, k2_binari_4(k2_xcmplx_0(A, 1), B), C)=k7_partfun1(k5_margrel1, k2_binari_4(A, B), C)) ) ) ) ) ) ) ).
fof(t33_binari_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  (? [C] :  (m1_subset_1(C, k5_margrel1) & k2_binari_4(k2_xcmplx_0(A, 1), B)=k8_finseq_1(k5_margrel1, k2_binari_4(A, B), k12_finseq_1(k5_margrel1, C))) ) ) ) ) ) ).
fof(t34_binari_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (? [C] :  (m1_subset_1(C, k5_margrel1) & k1_binari_3(k2_xcmplx_0(B, 1), A)=k8_finseq_1(k5_margrel1, k1_binari_3(B, A), k12_finseq_1(k5_margrel1, C))) ) ) ) ) ) ).
fof(t35_binari_4, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  ( (r1_xxreal_0(k4_xcmplx_0(k5_series_1(2, C)), k2_xcmplx_0(A, B)) &  (r1_xxreal_0(k4_xcmplx_0(k5_series_1(2, k7_nat_d(C, 1))), A) & r1_xxreal_0(k4_xcmplx_0(k5_series_1(2, k7_nat_d(C, 1))), B)) )  =>  (r1_xxreal_0(k5_numbers, A) |  (r1_xxreal_0(k5_numbers, B) | k7_partfun1(k5_margrel1, k4_binarith(k2_xcmplx_0(C, 1), k2_binari_4(k2_xcmplx_0(C, 1), A), k2_binari_4(k2_xcmplx_0(C, 1), B)), k2_xcmplx_0(C, 1))=k7_margrel1) ) ) ) ) ) ) ) ) ).
fof(t36_binari_4, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  ( (r1_xxreal_0(k2_xcmplx_0(A, B), k6_xcmplx_0(k5_series_1(2, k7_nat_d(C, 1)), 1)) &  (r1_xxreal_0(k5_numbers, A) & r1_xxreal_0(k5_numbers, B)) )  => k3_binari_2(C, k7_binarith(C, k2_binari_4(C, A), k2_binari_4(C, B)))=k2_xcmplx_0(A, B)) ) ) ) ) ) ) ).
fof(t37_binari_4, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  ( (r1_xxreal_0(k4_xcmplx_0(k5_series_1(2, k7_nat_d(k2_xcmplx_0(C, 1), 1))), k2_xcmplx_0(A, B)) &  (r1_xxreal_0(k4_xcmplx_0(k5_series_1(2, k7_nat_d(C, 1))), A) & r1_xxreal_0(k4_xcmplx_0(k5_series_1(2, k7_nat_d(C, 1))), B)) )  =>  (r1_xxreal_0(k5_numbers, A) |  (r1_xxreal_0(k5_numbers, B) | k3_binari_2(k2_xcmplx_0(C, 1), k7_binarith(k2_xcmplx_0(C, 1), k2_binari_4(k2_xcmplx_0(C, 1), A), k2_binari_4(k2_xcmplx_0(C, 1), B)))=k2_xcmplx_0(A, B)) ) ) ) ) ) ) ) ) ).
fof(t38_binari_4, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  ( (r1_xxreal_0(k4_xcmplx_0(k5_series_1(2, k7_nat_d(C, 1))), A) &  (r1_xxreal_0(A, k6_xcmplx_0(k5_series_1(2, k7_nat_d(C, 1)), 1)) &  (r1_xxreal_0(k4_xcmplx_0(k5_series_1(2, k7_nat_d(C, 1))), B) &  (r1_xxreal_0(B, k6_xcmplx_0(k5_series_1(2, k7_nat_d(C, 1)), 1)) &  (r1_xxreal_0(k4_xcmplx_0(k5_series_1(2, k7_nat_d(C, 1))), k2_xcmplx_0(A, B)) & r1_xxreal_0(k2_xcmplx_0(A, B), k6_xcmplx_0(k5_series_1(2, k7_nat_d(C, 1)), 1))) ) ) ) )  =>  ( ( ~ ( (r1_xxreal_0(k5_numbers, A) &  ~ (r1_xxreal_0(k5_numbers, B)) ) )  &  ~ ( ( ~ (r1_xxreal_0(k5_numbers, A))  & r1_xxreal_0(k5_numbers, B)) ) )  | k3_binari_2(C, k7_binarith(C, k2_binari_4(C, A), k2_binari_4(C, B)))=k2_xcmplx_0(A, B)) ) ) ) ) ) ) ) ).
fof(dt_k1_binari_4, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k1_binari_4(A, B))) ) ).
fof(dt_k2_binari_4, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v1_int_1(B))  =>  (v3_card_1(k2_binari_4(A, B), A) & m2_finseq_1(k2_binari_4(A, B), k5_margrel1)) ) ) ).
fof(t1_binarith, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, C) =>  (! [E] :  ( (v3_card_1(E, B) & m2_finseq_1(E, C))  =>  (r2_hidden(A, k2_finseq_1(B)) => k7_partfun1(C, k8_finseq_1(C, E, k12_finseq_1(C, D)), A)=k7_partfun1(C, E, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_binarith, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v3_card_1(D, A) & m2_finseq_1(D, B))  => k7_partfun1(B, k8_finseq_1(B, D, k12_finseq_1(B, C)), k1_nat_1(A, 1))=C) ) ) ) ) ) ) ) ).
fof(t3_binarith, axiom,  (! [A] :  (v1_xboolean(A) => k5_xboolean(A, k6_margrel1)=A) ) ).
fof(t4_binarith, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) => k3_xboolean(k4_xboolean(A, B))=k5_xboolean(k3_xboolean(A), k3_xboolean(B))) ) ) ) ).
fof(t5_binarith, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) => k3_xboolean(k5_xboolean(A, B))=k4_xboolean(k3_xboolean(A), k3_xboolean(B))) ) ) ) ).
fof(t6_binarith, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) => k4_xboolean(A, B)=k3_xboolean(k5_xboolean(k3_xboolean(A), k3_xboolean(B)))) ) ) ) ).
fof(t7_binarith, axiom,  (! [A] :  (v1_xboolean(A) => k10_xboolean(k7_margrel1, A)=k3_xboolean(A)) ) ).
fof(t8_binarith, axiom,  (! [A] :  (v1_xboolean(A) => k10_xboolean(k6_margrel1, A)=A) ) ).
fof(t9_binarith, axiom,  (! [A] :  (v1_xboolean(A) => k4_xboolean(A, A)=A) ) ).
fof(t10_binarith, axiom,  (! [A] :  (v1_xboolean(A) => k5_xboolean(A, k7_margrel1)=k7_margrel1) ) ).
fof(t11_binarith, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) =>  (! [C] :  (v1_xboolean(C) => k5_xboolean(k5_xboolean(A, B), C)=k5_xboolean(A, k5_xboolean(B, C))) ) ) ) ) ) ).
fof(t12_binarith, axiom,  (! [A] :  (v1_xboolean(A) => k5_xboolean(A, A)=A) ) ).
fof(t13_binarith, axiom, k2_binarith(k7_margrel1, k6_margrel1)=k7_margrel1).
fof(d1_binarith, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k5_margrel1))  =>  (C=k3_binarith(A, B) <=>  (! [D] :  (v7_ordinal1(D) =>  (r2_hidden(D, k2_finseq_1(A)) => k7_partfun1(k5_margrel1, C, D)=k8_margrel1(k7_partfun1(k5_margrel1, B, D))) ) ) ) ) ) ) ) ) ) ).
fof(d2_binarith, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k5_margrel1))  =>  (! [D] :  ( (v3_card_1(D, A) & m2_finseq_1(D, k5_margrel1))  =>  (D=k4_binarith(A, B, C) <=>  (k7_partfun1(k5_margrel1, D, 1)=k6_margrel1 &  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(1, E) =>  (r1_xxreal_0(A, E) | k7_partfun1(k5_margrel1, D, k1_nat_1(E, 1))=k1_binarith(k1_binarith(k9_margrel1(k7_partfun1(k5_margrel1, B, E), k7_partfun1(k5_margrel1, C, E)), k9_margrel1(k7_partfun1(k5_margrel1, B, E), k7_partfun1(k5_margrel1, D, E))), k9_margrel1(k7_partfun1(k5_margrel1, C, E), k7_partfun1(k5_margrel1, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_binarith, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k4_ordinal1))  =>  (C=k5_binarith(A, B) <=>  (! [D] :  (v7_ordinal1(D) =>  (r2_hidden(D, k2_finseq_1(A)) => k7_partfun1(k4_ordinal1, C, D)=k16_funcop_1(k4_ordinal1, k7_partfun1(k5_margrel1, B, D), k6_margrel1, k5_numbers, k5_series_1(2, k7_nat_d(D, 1)))) ) ) ) ) ) ) ) ) ) ).
fof(d4_binarith, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  => k6_binarith(A, B)=k1_finsop_1(k4_ordinal1, k5_binarith(A, B), k23_binop_2)) ) ) ) ).
fof(d5_binarith, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k5_margrel1))  =>  (! [D] :  ( (v3_card_1(D, A) & m2_finseq_1(D, k5_margrel1))  =>  (D=k7_binarith(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) =>  (r2_hidden(E, k2_finseq_1(A)) => k7_partfun1(k5_margrel1, D, E)=k2_binarith(k2_binarith(k7_partfun1(k5_margrel1, B, E), k7_partfun1(k5_margrel1, C, E)), k7_partfun1(k5_margrel1, k4_binarith(A, B, C), E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_binarith, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k5_margrel1))  => k8_binarith(A, B, C)=k1_binarith(k1_binarith(k9_margrel1(k7_partfun1(k5_margrel1, B, A), k7_partfun1(k5_margrel1, C, A)), k9_margrel1(k7_partfun1(k5_margrel1, B, A), k7_partfun1(k5_margrel1, k4_binarith(A, B, C), A))), k9_margrel1(k7_partfun1(k5_margrel1, C, A), k7_partfun1(k5_margrel1, k4_binarith(A, B, C), A)))) ) ) ) ) ) ).
fof(d7_binarith, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k5_margrel1))  =>  (r1_binarith(A, B, C) <=> k8_binarith(A, B, C)=k6_margrel1) ) ) ) ) ) ) ).
fof(t14_binarith, axiom,  (! [A] :  ( (v3_card_1(A, 1) & m2_finseq_1(A, k5_margrel1))  =>  (A=k14_trees_3(k6_margrel1) | A=k14_trees_3(k7_margrel1)) ) ) ).
fof(t15_binarith, axiom,  (! [A] :  ( (v3_card_1(A, 1) & m2_finseq_1(A, k5_margrel1))  =>  (A=k14_trees_3(k6_margrel1) => k6_binarith(1, A)=k5_numbers) ) ) ).
fof(t16_binarith, axiom,  (! [A] :  ( (v3_card_1(A, 1) & m2_finseq_1(A, k5_margrel1))  =>  (A=k14_trees_3(k7_margrel1) => k6_binarith(1, A)=1) ) ) ).
fof(t17_binarith, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k5_margrel1))  =>  (! [D] :  (m1_subset_1(D, k5_margrel1) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (v7_ordinal1(F) =>  (r2_hidden(F, k2_finseq_1(A)) => k7_partfun1(k5_margrel1, k4_binarith(k2_xcmplx_0(A, 1), k9_binarith(A, 1, k5_margrel1, B, k10_binarith(k5_margrel1, D)), k9_binarith(A, 1, k5_margrel1, C, k10_binarith(k5_margrel1, E))), F)=k7_partfun1(k5_margrel1, k4_binarith(A, B, C), F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_binarith, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k5_margrel1))  =>  (! [D] :  (m1_subset_1(D, k5_margrel1) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) => k8_binarith(A, B, C)=k7_partfun1(k5_margrel1, k4_binarith(k2_xcmplx_0(A, 1), k9_binarith(A, 1, k5_margrel1, B, k10_binarith(k5_margrel1, D)), k9_binarith(A, 1, k5_margrel1, C, k10_binarith(k5_margrel1, E))), k1_nat_1(A, 1))) ) ) ) ) ) ) ) ) ) ).
fof(t19_binarith, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k5_margrel1))  =>  (! [D] :  (m1_subset_1(D, k5_margrel1) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) => k7_binarith(k2_xcmplx_0(A, 1), k9_binarith(A, 1, k5_margrel1, B, k10_binarith(k5_margrel1, D)), k9_binarith(A, 1, k5_margrel1, C, k10_binarith(k5_margrel1, E)))=k9_binarith(A, 1, k5_margrel1, k7_binarith(A, B, C), k10_binarith(k5_margrel1, k2_binarith(k2_binarith(D, E), k8_binarith(A, B, C))))) ) ) ) ) ) ) ) ) ) ).
fof(t20_binarith, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (! [C] :  (m1_subset_1(C, k5_margrel1) => k6_binarith(k2_xcmplx_0(A, 1), k9_binarith(A, 1, k5_margrel1, B, k10_binarith(k5_margrel1, C)))=k1_nat_1(k6_binarith(A, B), k16_funcop_1(k4_ordinal1, C, k6_margrel1, k5_numbers, k5_series_1(2, A)))) ) ) ) ) ) ).
fof(t21_binarith, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k5_margrel1))  => k1_nat_1(k6_binarith(A, k7_binarith(A, B, C)), k16_funcop_1(k4_ordinal1, k8_binarith(A, B, C), k6_margrel1, k5_numbers, k5_series_1(2, A)))=k1_nat_1(k6_binarith(A, B), k6_binarith(A, C))) ) ) ) ) ) ).
fof(t22_binarith, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k5_margrel1))  =>  (r1_binarith(A, B, C) => k6_binarith(A, k7_binarith(A, B, C))=k1_nat_1(k6_binarith(A, B), k6_binarith(A, C))) ) ) ) ) ) ) ).
fof(dt_k1_binarith, axiom,  (! [A, B] :  ( (m1_subset_1(A, k5_margrel1) & m1_subset_1(B, k5_margrel1))  => m1_subset_1(k1_binarith(A, B), k5_margrel1)) ) ).
fof(commutativity_k1_binarith, axiom,  (! [A, B] :  ( (m1_subset_1(A, k5_margrel1) & m1_subset_1(B, k5_margrel1))  => k1_binarith(A, B)=k1_binarith(B, A)) ) ).
fof(idempotence_k1_binarith, axiom,  (! [A, B] :  ( (m1_subset_1(A, k5_margrel1) & m1_subset_1(B, k5_margrel1))  => k1_binarith(A, A)=A) ) ).
fof(redefinition_k1_binarith, axiom,  (! [A, B] :  ( (m1_subset_1(A, k5_margrel1) & m1_subset_1(B, k5_margrel1))  => k1_binarith(A, B)=k5_xboolean(A, B)) ) ).
fof(dt_k2_binarith, axiom,  (! [A, B] :  ( (m1_subset_1(A, k5_margrel1) & m1_subset_1(B, k5_margrel1))  => m1_subset_1(k2_binarith(A, B), k5_margrel1)) ) ).
fof(commutativity_k2_binarith, axiom,  (! [A, B] :  ( (m1_subset_1(A, k5_margrel1) & m1_subset_1(B, k5_margrel1))  => k2_binarith(A, B)=k2_binarith(B, A)) ) ).
fof(redefinition_k2_binarith, axiom,  (! [A, B] :  ( (m1_subset_1(A, k5_margrel1) & m1_subset_1(B, k5_margrel1))  => k2_binarith(A, B)=k10_xboolean(A, B)) ) ).
fof(dt_k3_binarith, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v3_card_1(B, A) & m1_finseq_1(B, k5_margrel1)) )  =>  (v3_card_1(k3_binarith(A, B), A) & m2_finseq_1(k3_binarith(A, B), k5_margrel1)) ) ) ).
fof(dt_k4_binarith, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  ( (v3_card_1(B, A) & m1_finseq_1(B, k5_margrel1))  &  (v3_card_1(C, A) & m1_finseq_1(C, k5_margrel1)) ) )  =>  (v3_card_1(k4_binarith(A, B, C), A) & m2_finseq_1(k4_binarith(A, B, C), k5_margrel1)) ) ) ).
fof(dt_k5_binarith, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v3_card_1(B, A) & m1_finseq_1(B, k5_margrel1)) )  =>  (v3_card_1(k5_binarith(A, B), A) & m2_finseq_1(k5_binarith(A, B), k4_ordinal1)) ) ) ).
fof(dt_k6_binarith, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v3_card_1(B, A) & m1_finseq_1(B, k5_margrel1)) )  => m1_subset_1(k6_binarith(A, B), k4_ordinal1)) ) ).
fof(dt_k7_binarith, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  ( (v3_card_1(B, A) & m1_finseq_1(B, k5_margrel1))  &  (v3_card_1(C, A) & m1_finseq_1(C, k5_margrel1)) ) )  =>  (v3_card_1(k7_binarith(A, B, C), A) & m2_finseq_1(k7_binarith(A, B, C), k5_margrel1)) ) ) ).
fof(dt_k8_binarith, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  ( (v3_card_1(B, A) & m1_finseq_1(B, k5_margrel1))  &  (v3_card_1(C, A) & m1_finseq_1(C, k5_margrel1)) ) )  => m1_subset_1(k8_binarith(A, B, C), k5_margrel1)) ) ).
fof(dt_k9_binarith, axiom,  (! [A, B, C, D, E] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( ~ (v1_xboole_0(C))  &  ( (v3_card_1(D, A) & m1_finseq_1(D, C))  &  (v3_card_1(E, B) & m1_finseq_1(E, C)) ) ) ) )  =>  (v3_card_1(k9_binarith(A, B, C, D, E), k2_xcmplx_0(A, B)) & m2_finseq_1(k9_binarith(A, B, C, D, E), C)) ) ) ).
fof(redefinition_k9_binarith, axiom,  (! [A, B, C, D, E] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( ~ (v1_xboole_0(C))  &  ( (v3_card_1(D, A) & m1_finseq_1(D, C))  &  (v3_card_1(E, B) & m1_finseq_1(E, C)) ) ) ) )  => k9_binarith(A, B, C, D, E)=k7_finseq_1(D, E)) ) ).
fof(dt_k10_binarith, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  =>  (v3_card_1(k10_binarith(A, B), 1) & m2_finseq_1(k10_binarith(A, B), A)) ) ) ).
fof(redefinition_k10_binarith, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => k10_binarith(A, B)=k5_finseq_1(B)) ) ).
fof(cc1_binom, axiom,  (! [A] :  (l2_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v6_algstr_0(A) & v2_rlvect_1(A)) )  =>  ( ~ (v2_struct_0(A))  & v5_algstr_0(A)) ) ) ) ).
fof(cc2_binom, axiom,  (! [A] :  (l2_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v5_algstr_0(A) & v2_rlvect_1(A)) )  =>  ( ~ (v2_struct_0(A))  & v6_algstr_0(A)) ) ) ) ).
fof(cc3_binom, axiom,  (! [A] :  (l2_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) & v4_rlvect_1(A)) ) )  =>  ( ~ (v2_struct_0(A))  & v6_algstr_0(A)) ) ) ) ).
fof(rc1_binom, axiom,  (? [A] :  (l6_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  (v7_algstr_0(A) &  (v1_algstr_1(A) &  (v5_vectsp_1(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) & v4_rlvect_1(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_binom, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_algstr_0(A) &  (v2_vectsp_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_algstr_0(A, k4_struct_0(A), B)=k4_struct_0(A)) ) ) ) ).
fof(t2_binom, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_algstr_0(A) &  (v1_algstr_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_algstr_0(A, B, k4_struct_0(A))=k4_struct_0(A)) ) ) ) ).
fof(t3_binom, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_algstr_1(A) & l2_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k4_rlvect_1(A, k12_finseq_1(u1_struct_0(A), B))=B) ) ) ) ).
fof(t4_binom, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_algstr_0(A) &  (v1_algstr_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) => k4_rlvect_1(A, k9_fvsum_1(A, C, B))=k6_algstr_0(A, B, k4_rlvect_1(A, C))) ) ) ) ) ) ).
fof(t5_binom, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_algstr_0(A) &  (v2_vectsp_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) => k4_rlvect_1(A, k1_polynom1(A, C, B))=k6_algstr_0(A, k4_rlvect_1(A, C), B)) ) ) ) ) ) ).
fof(t6_binom, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) => r2_relset_1(k4_ordinal1, u1_struct_0(A), k1_polynom1(A, C, B), k9_fvsum_1(A, C, B))) ) ) ) ) ) ).
fof(d1_binom, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (D=k1_binom(A, B, C) <=>  (k1_relset_1(k4_ordinal1, D)=k1_relset_1(k4_ordinal1, B) &  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, k3_finseq_1(D)))  => k7_partfun1(u1_struct_0(A), D, E)=k1_algstr_0(A, k7_partfun1(u1_struct_0(A), B, E), k7_partfun1(u1_struct_0(A), C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_binom, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (k1_relset_1(k4_ordinal1, B)=k1_relset_1(k4_ordinal1, C) => k4_rlvect_1(A, k1_binom(A, B, C))=k3_rlvect_1(A, k4_rlvect_1(A, B), k4_rlvect_1(A, C))) ) ) ) ) ) ) ).
fof(d2_binom, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) => k2_binom(A, B, C)=k9_nat_1(u1_struct_0(A), k4_group_1(A), B, C)) ) ) ) ) ) ).
fof(t8_binom, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k2_binom(A, B, k5_numbers)=k1_group_1(A) & k2_binom(A, B, 1)=B) ) ) ) ) ).
fof(t9_binom, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) => k2_binom(A, k8_group_1(A, B, C), D)=k8_group_1(A, k2_binom(A, B, D), k2_binom(A, C, D))) ) ) ) ) ) ) ) ).
fof(t10_binom, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k2_binom(A, B, k2_xcmplx_0(C, D))=k6_algstr_0(A, k2_binom(A, B, C), k2_binom(A, B, D))) ) ) ) ) ) ) ) ).
fof(t11_binom, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k2_binom(A, k2_binom(A, B, C), D)=k2_binom(A, B, k3_xcmplx_0(C, D))) ) ) ) ) ) ) ) ).
fof(d3_binom, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)), u1_struct_0(A))))) )  =>  (B=k3_binom(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k10_nat_1(u1_struct_0(A), B, k5_numbers, C)=k4_struct_0(A) &  (! [D] :  (v7_ordinal1(D) => k10_nat_1(u1_struct_0(A), B, k1_nat_1(D, 1), C)=k1_algstr_0(A, C, k10_nat_1(u1_struct_0(A), B, D, C))) ) ) ) ) ) ) ) ) ) ).
fof(d4_binom, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), k4_ordinal1), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k4_ordinal1), u1_struct_0(A))))) )  =>  (B=k4_binom(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k9_nat_1(u1_struct_0(A), B, C, k5_numbers)=k4_struct_0(A) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) => k9_nat_1(u1_struct_0(A), B, C, k1_nat_1(D, 1))=k1_algstr_0(A, k9_nat_1(u1_struct_0(A), B, C, D), C)) ) ) ) ) ) ) ) ) ) ).
fof(d5_binom, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) => k5_binom(A, B, C)=k10_nat_1(u1_struct_0(A), k3_binom(A), C, B)) ) ) ) ) ) ).
fof(d6_binom, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) => k6_binom(A, B, C)=k9_nat_1(u1_struct_0(A), k4_binom(A), B, C)) ) ) ) ) ) ).
fof(t12_binom, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k5_binom(A, B, k5_numbers)=k4_struct_0(A) & k6_binom(A, B, k5_numbers)=k4_struct_0(A)) ) ) ) ) ).
fof(t13_binom, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_rlvect_1(A) & l2_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_binom(A, B, 1)=B) ) ) ) ).
fof(t14_binom, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_algstr_1(A) & l2_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_binom(A, B, 1)=B) ) ) ) ).
fof(t15_binom, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_algstr_1(A) &  (v3_rlvect_1(A) & l2_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k5_binom(A, B, k2_xcmplx_0(C, D))=k1_algstr_0(A, k5_binom(A, B, C), k5_binom(A, B, D))) ) ) ) ) ) ) ) ).
fof(t16_binom, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => k6_binom(A, B, k1_nat_1(C, D))=k1_algstr_0(A, k6_binom(A, B, C), k6_binom(A, B, D))) ) ) ) ) ) ) ) ).
fof(t17_binom, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_algstr_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => k5_binom(A, B, C)=k6_binom(A, B, C)) ) ) ) ) ) ).
fof(t18_binom, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) & l2_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => k5_binom(A, B, C)=k6_binom(A, B, C)) ) ) ) ) ) ).
fof(t19_binom, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_algstr_0(A) &  (v1_algstr_1(A) &  (v2_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => k6_algstr_0(A, k5_binom(A, B, D), C)=k5_binom(A, k6_algstr_0(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t20_binom, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_algstr_0(A) &  (v1_algstr_1(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => k6_algstr_0(A, C, k5_binom(A, B, D))=k6_binom(A, k6_algstr_0(A, C, B), D)) ) ) ) ) ) ) ) ).
fof(t21_binom, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_algstr_0(A) &  (v1_algstr_1(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => k6_algstr_0(A, k6_binom(A, B, D), C)=k6_algstr_0(A, B, k5_binom(A, C, D))) ) ) ) ) ) ) ) ).
fof(d7_binom, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(A)) =>  (E=k7_binom(A, B, C, D) <=>  (k3_finseq_1(E)=k1_nat_1(D, 1) &  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (v7_ordinal1(H) =>  ( (r2_tarski(F, k1_relset_1(k4_ordinal1, E)) &  (H=k6_xcmplx_0(F, 1) & G=k6_xcmplx_0(D, H)) )  => k7_partfun1(u1_struct_0(A), E, F)=k6_algstr_0(A, k5_binom(A, k2_binom(A, B, G), k4_newton(H, D)), k2_binom(A, C, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_binom, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_relset_1(k4_ordinal1, u1_struct_0(A), k7_binom(A, B, C, k5_numbers), k12_finseq_1(u1_struct_0(A), k1_group_1(A)))) ) ) ) ) ) ).
fof(t23_binom, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) => k1_funct_1(k7_binom(A, B, C, D), 1)=k2_binom(A, B, D)) ) ) ) ) ) ) ) ).
fof(t24_binom, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) => k1_funct_1(k7_binom(A, B, C, D), k1_nat_1(D, 1))=k2_binom(A, C, D)) ) ) ) ) ) ) ) ).
fof(t25_binom, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_algstr_0(A) &  (v1_algstr_1(A) &  (v5_vectsp_1(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => k2_binom(A, k3_rlvect_1(A, B, C), D)=k4_rlvect_1(A, k7_binom(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t26_binom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), B)))) )  =>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(k4_ordinal1, A), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A), B)))) )  &  (! [F] :  (m1_subset_1(F, A) =>  (k2_binop_1(k4_ordinal1, A, B, E, k5_numbers, F)=C &  (! [G] :  (v7_ordinal1(G) => k2_binop_1(k4_ordinal1, A, B, E, k1_nat_1(G, 1), F)=k1_binop_1(D, F, k1_binop_1(E, G, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_binom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(B, A), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, A), B)))) )  =>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, k4_ordinal1), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1), B)))) )  &  (! [F] :  (m1_subset_1(F, A) =>  (k2_binop_1(A, k4_ordinal1, B, E, F, k5_numbers)=C &  (! [G] :  (m1_subset_1(G, k4_ordinal1) => k2_binop_1(A, k4_ordinal1, B, E, F, k1_nat_1(G, 1))=k2_binop_1(B, A, B, D, k2_binop_1(A, k4_ordinal1, B, E, F, G), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_binom, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  (m1_finseq_1(B, u1_struct_0(A)) & m1_finseq_1(C, u1_struct_0(A))) )  => m2_finseq_1(k1_binom(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k2_binom, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & v7_ordinal1(C)) )  => m1_subset_1(k2_binom(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k3_binom, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (v1_funct_1(k3_binom(A)) &  (v1_funct_2(k3_binom(A), k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(k3_binom(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(dt_k4_binom, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (v1_funct_1(k4_binom(A)) &  (v1_funct_2(k4_binom(A), k2_zfmisc_1(u1_struct_0(A), k4_ordinal1), u1_struct_0(A)) & m1_subset_1(k4_binom(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k4_ordinal1), u1_struct_0(A))))) ) ) ) ).
fof(dt_k5_binom, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  (m1_subset_1(B, u1_struct_0(A)) & v7_ordinal1(C)) )  => m1_subset_1(k5_binom(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k6_binom, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  (m1_subset_1(B, u1_struct_0(A)) & v7_ordinal1(C)) )  => m1_subset_1(k6_binom(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k7_binom, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l6_algstr_0(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) & v7_ordinal1(D)) ) )  => m2_finseq_1(k7_binom(A, B, C, D), u1_struct_0(A))) ) ).
fof(cc1_binop_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_xboole_0, k1_xboole_0), k1_xboole_0))) =>  ( (v1_funct_1(A) & v1_funct_2(A, k2_zfmisc_1(k1_xboole_0, k1_xboole_0), k1_xboole_0))  =>  (v1_funct_1(A) &  (v1_xboole_0(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_xboole_0, k1_xboole_0), k1_xboole_0) &  (v1_binop_1(A, k1_xboole_0) & v2_binop_1(A, k1_xboole_0)) ) ) ) ) ) ) ).
fof(d1_binop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] : k1_binop_1(A, B, C)=k1_funct_1(A, k4_tarski(B, C))) ) ) ) ).
fof(t1_binop_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, B), C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  ( (! [F] :  (! [G] :  ( (r2_tarski(F, A) & r2_tarski(G, B))  => k1_binop_1(D, F, G)=k1_binop_1(E, F, G)) ) )  => r2_funct_2(k2_zfmisc_1(A, B), C, D, E)) ) ) ) ) ) ) ) ).
fof(t2_binop_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, B), C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  ( (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, B) => k1_binop_1(D, F, G)=k1_binop_1(E, F, G)) ) ) )  => r2_funct_2(k2_zfmisc_1(A, B), C, D, E)) ) ) ) ) ) ) ) ).
fof(d2_binop_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v1_binop_1(B, A) <=>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) => k1_binop_1(B, C, D)=k1_binop_1(B, D, C)) ) ) ) ) ) ) ) ).
fof(d3_binop_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v2_binop_1(B, A) <=>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) => k1_binop_1(B, C, k1_binop_1(B, D, E))=k1_binop_1(B, k1_binop_1(B, C, D), E)) ) ) ) ) ) ) ) ) ) ).
fof(d4_binop_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v3_binop_1(B, A) <=>  (! [C] :  (m1_subset_1(C, A) => k1_binop_1(B, C, C)=C) ) ) ) ) ) ).
fof(d5_binop_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (r1_binop_1(A, B, C) <=>  (! [D] :  (m1_subset_1(D, A) => k1_binop_1(C, B, D)=D) ) ) ) ) ) ) ).
fof(d6_binop_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (r2_binop_1(A, B, C) <=>  (! [D] :  (m1_subset_1(D, A) => k1_binop_1(C, D, B)=D) ) ) ) ) ) ) ).
fof(d7_binop_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (r3_binop_1(A, B, C) <=>  (r1_binop_1(A, B, C) & r2_binop_1(A, B, C)) ) ) ) ) ) ).
fof(t3_binop_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (r3_binop_1(A, C, B) <=>  (! [D] :  (m1_subset_1(D, A) =>  (k1_binop_1(B, C, D)=D & k1_binop_1(B, D, C)=D) ) ) ) ) ) ) ) ) ).
fof(t4_binop_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (v1_binop_1(B, A) =>  (r3_binop_1(A, C, B) <=>  (! [D] :  (m1_subset_1(D, A) => k1_binop_1(B, C, D)=D) ) ) ) ) ) ) ) ) ).
fof(t5_binop_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (v1_binop_1(B, A) =>  (r3_binop_1(A, C, B) <=>  (! [D] :  (m1_subset_1(D, A) => k1_binop_1(B, D, C)=D) ) ) ) ) ) ) ) ) ).
fof(t6_binop_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (v1_binop_1(B, A) =>  (r3_binop_1(A, C, B) <=> r1_binop_1(A, C, B)) ) ) ) ) ) ) ).
fof(t7_binop_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (v1_binop_1(B, A) =>  (r3_binop_1(A, C, B) <=> r2_binop_1(A, C, B)) ) ) ) ) ) ) ).
fof(t8_binop_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (v1_binop_1(B, A) =>  (r1_binop_1(A, C, B) <=> r2_binop_1(A, C, B)) ) ) ) ) ) ) ).
fof(t9_binop_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  ( (r1_binop_1(A, C, B) & r2_binop_1(A, D, B))  => C=D) ) ) ) ) ) ) ) ).
fof(t10_binop_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  ( (r3_binop_1(A, C, B) & r3_binop_1(A, D, B))  => C=D) ) ) ) ) ) ) ) ).
fof(d8_binop_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  ( (? [C] :  (m1_subset_1(C, A) & r3_binop_1(A, C, B)) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (C=k3_binop_1(A, B) <=> r3_binop_1(A, C, B)) ) ) ) ) ) ) ).
fof(d9_binop_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (r4_binop_1(A, B, C) <=>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) => k1_binop_1(B, D, k1_binop_1(C, E, F))=k1_binop_1(C, k1_binop_1(B, D, E), k1_binop_1(B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_binop_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (r5_binop_1(A, B, C) <=>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) => k1_binop_1(B, k1_binop_1(C, D, E), F)=k1_binop_1(C, k1_binop_1(B, D, F), k1_binop_1(B, E, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_binop_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (r6_binop_1(A, B, C) <=>  (r4_binop_1(A, B, C) & r5_binop_1(A, B, C)) ) ) ) ) ) ) ).
fof(t11_binop_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (r6_binop_1(A, C, B) <=>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  (k1_binop_1(C, D, k1_binop_1(B, E, F))=k1_binop_1(B, k1_binop_1(C, D, E), k1_binop_1(C, D, F)) & k1_binop_1(C, k1_binop_1(B, D, E), F)=k1_binop_1(B, k1_binop_1(C, D, F), k1_binop_1(C, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_binop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v1_binop_1(C, A) =>  (r6_binop_1(A, C, B) <=>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) => k2_binop_1(A, A, A, C, D, k2_binop_1(A, A, A, B, E, F))=k2_binop_1(A, A, A, B, k2_binop_1(A, A, A, C, D, E), k2_binop_1(A, A, A, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_binop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v1_binop_1(C, A) =>  (r6_binop_1(A, C, B) <=>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) => k2_binop_1(A, A, A, C, k2_binop_1(A, A, A, B, D, E), F)=k2_binop_1(A, A, A, B, k2_binop_1(A, A, A, C, D, F), k2_binop_1(A, A, A, C, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_binop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v1_binop_1(C, A) =>  (r6_binop_1(A, C, B) <=> r4_binop_1(A, C, B)) ) ) ) ) ) ) ) ).
fof(t15_binop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v1_binop_1(C, A) =>  (r6_binop_1(A, C, B) <=> r5_binop_1(A, C, B)) ) ) ) ) ) ) ) ).
fof(t16_binop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v1_binop_1(C, A) =>  (r5_binop_1(A, C, B) <=> r4_binop_1(A, C, B)) ) ) ) ) ) ) ) ).
fof(d12_binop_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (r7_binop_1(A, B, C) <=>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) => k1_funct_1(B, k1_binop_1(C, D, E))=k1_binop_1(C, k1_funct_1(B, D), k1_funct_1(B, E))) ) ) ) ) ) ) ) ) ) ).
fof(d16_binop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (r1_binop_1(A, B, C) <=>  (! [D] :  (m1_subset_1(D, A) => k1_binop_1(C, B, D)=D) ) ) ) ) ) ) ) ).
fof(d17_binop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (r2_binop_1(A, B, C) <=>  (! [D] :  (m1_subset_1(D, A) => k1_binop_1(C, D, B)=D) ) ) ) ) ) ) ) ).
fof(d18_binop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (r4_binop_1(A, B, C) <=>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) => k2_binop_1(A, A, A, B, D, k2_binop_1(A, A, A, C, E, F))=k2_binop_1(A, A, A, C, k2_binop_1(A, A, A, B, D, E), k2_binop_1(A, A, A, B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_binop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (r5_binop_1(A, B, C) <=>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) => k2_binop_1(A, A, A, B, k2_binop_1(A, A, A, C, D, E), F)=k2_binop_1(A, A, A, C, k2_binop_1(A, A, A, B, D, F), k2_binop_1(A, A, A, B, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d20_binop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (r7_binop_1(A, B, C) <=>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) => k3_funct_2(A, A, B, k2_binop_1(A, A, A, C, D, E))=k2_binop_1(A, A, A, C, k3_funct_2(A, A, B, D), k3_funct_2(A, A, B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_binop_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(A, B), C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  ( (r2_hidden(D, A) & r2_hidden(E, B))  =>  (C=k1_xboole_0 | r2_tarski(k1_binop_1(F, D, E), C)) ) ) ) ) ) ) ) ) ).
fof(t18_binop_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(C, D), E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, D), E)))) )  =>  (! [G] :  ( (v1_relat_1(G) & v1_funct_1(G))  =>  ( (r2_hidden(A, C) & r2_hidden(B, D))  =>  (E=k1_xboole_0 | k1_binop_1(k3_relat_1(F, G), A, B)=k1_funct_1(G, k1_binop_1(F, A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_binop_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (k9_xtuple_0(C)=k2_zfmisc_1(A, B) =>  (v3_funct_1(C) <=>  (! [D] :  (! [E] :  (! [F] :  (! [G] :  ( (r2_hidden(D, A) &  (r2_hidden(E, A) &  (r2_hidden(F, B) & r2_hidden(G, B)) ) )  => k1_binop_1(C, D, F)=k1_binop_1(C, E, G)) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_binop_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C))))  =>  ( (r2_relset_1(A, B, k1_relset_1(k2_zfmisc_1(A, B), D), k1_relset_1(k2_zfmisc_1(A, B), E)) &  (! [F] :  (! [G] :  (r2_hidden(k4_tarski(F, G), k1_relset_1(k2_zfmisc_1(A, B), D)) => k1_binop_1(D, F, G)=k1_binop_1(E, F, G)) ) ) )  => r2_relset_1(k2_zfmisc_1(A, B), C, D, E)) ) ) ) ) ) ) ) ).
fof(d21_binop_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, B), C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (r8_binop_1(A, B, C, D, E) <=>  (! [F] :  (! [G] :  ( (r2_tarski(F, A) & r2_tarski(G, B))  => k1_binop_1(D, F, G)=k1_binop_1(E, F, G)) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_binop_1, axiom,  ( (! [A] :  (! [B] :  ~ ( (r2_hidden(A, f1_s1_binop_1) &  (r2_hidden(B, f2_s1_binop_1) &  (! [C] :  ~ ( (r2_hidden(C, f3_s1_binop_1) & p1_s1_binop_1(A, B, C)) ) ) ) ) ) ) )  =>  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(f1_s1_binop_1, f2_s1_binop_1), f3_s1_binop_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(f1_s1_binop_1, f2_s1_binop_1), f3_s1_binop_1)))) )  &  (! [B] :  (! [C] :  ( (r2_hidden(B, f1_s1_binop_1) & r2_hidden(C, f2_s1_binop_1))  => p1_s1_binop_1(B, C, k1_binop_1(A, B, C))) ) ) ) ) ) ).
fof(s2_binop_1, axiom,  ( (! [A] :  (! [B] :  ( (r2_hidden(A, f1_s2_binop_1) & r2_hidden(B, f2_s2_binop_1))  => r2_hidden(f4_s2_binop_1(A, B), f3_s2_binop_1)) ) )  =>  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(f1_s2_binop_1, f2_s2_binop_1), f3_s2_binop_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(f1_s2_binop_1, f2_s2_binop_1), f3_s2_binop_1)))) )  &  (! [B] :  (! [C] :  ( (r2_hidden(B, f1_s2_binop_1) & r2_hidden(C, f2_s2_binop_1))  => k1_binop_1(A, B, C)=f4_s2_binop_1(B, C)) ) ) ) ) ) ).
fof(s3_binop_1, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s3_binop_1) =>  (! [B] :  (m1_subset_1(B, f2_s3_binop_1) =>  (? [C] :  (m1_subset_1(C, f3_s3_binop_1) & p1_s3_binop_1(A, B, C)) ) ) ) ) )  =>  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(f1_s3_binop_1, f2_s3_binop_1), f3_s3_binop_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(f1_s3_binop_1, f2_s3_binop_1), f3_s3_binop_1)))) )  &  (! [B] :  (m1_subset_1(B, f1_s3_binop_1) =>  (! [C] :  (m1_subset_1(C, f2_s3_binop_1) => p1_s3_binop_1(B, C, k2_binop_1(f1_s3_binop_1, f2_s3_binop_1, f3_s3_binop_1, A, B, C))) ) ) ) ) ) ) ).
fof(s4_binop_1, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(f1_s4_binop_1, f2_s4_binop_1), f3_s4_binop_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(f1_s4_binop_1, f2_s4_binop_1), f3_s4_binop_1)))) )  &  (! [B] :  (m1_subset_1(B, f1_s4_binop_1) =>  (! [C] :  (m1_subset_1(C, f2_s4_binop_1) => k2_binop_1(f1_s4_binop_1, f2_s4_binop_1, f3_s4_binop_1, A, B, C)=f4_s4_binop_1(B, C)) ) ) ) ) ) ).
fof(s5_binop_1, axiom,  ( ( (! [A] :  (! [B] :  (! [C] :  ( (r2_hidden(A, f1_s5_binop_1) &  (r2_hidden(B, f2_s5_binop_1) & p1_s5_binop_1(A, B, C)) )  => r2_hidden(C, f3_s5_binop_1)) ) ) )  &  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (r2_hidden(A, f1_s5_binop_1) &  (r2_hidden(B, f2_s5_binop_1) &  (p1_s5_binop_1(A, B, C) & p1_s5_binop_1(A, B, D)) ) )  => C=D) ) ) ) ) )  =>  (? [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(f1_s5_binop_1, f2_s5_binop_1), f3_s5_binop_1))))  &  ( (! [B] :  (! [C] :  (r2_hidden(k4_tarski(B, C), k1_relset_1(k2_zfmisc_1(f1_s5_binop_1, f2_s5_binop_1), A)) <=>  (r2_hidden(B, f1_s5_binop_1) &  (r2_hidden(C, f2_s5_binop_1) &  (? [D] : p1_s5_binop_1(B, C, D)) ) ) ) ) )  &  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(B, C), k1_relset_1(k2_zfmisc_1(f1_s5_binop_1, f2_s5_binop_1), A)) => p1_s5_binop_1(B, C, k1_binop_1(A, B, C))) ) ) ) ) ) ) ).
fof(s6_binop_1, axiom,  ( (! [A] :  (! [B] :  (p1_s6_binop_1(A, B) => r2_hidden(f4_s6_binop_1(A, B), f3_s6_binop_1)) ) )  =>  (? [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(f1_s6_binop_1, f2_s6_binop_1), f3_s6_binop_1))))  &  ( (! [B] :  (! [C] :  (r2_hidden(k4_tarski(B, C), k1_relset_1(k2_zfmisc_1(f1_s6_binop_1, f2_s6_binop_1), A)) <=>  (r2_hidden(B, f1_s6_binop_1) &  (r2_hidden(C, f2_s6_binop_1) & p1_s6_binop_1(B, C)) ) ) ) )  &  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(B, C), k1_relset_1(k2_zfmisc_1(f1_s6_binop_1, f2_s6_binop_1), A)) => k1_binop_1(A, B, C)=f4_s6_binop_1(B, C)) ) ) ) ) ) ) ).
fof(s7_binop_1, axiom,  ( (! [A] :  (! [B] :  ( (r2_hidden(A, f1_s7_binop_1) &  (r2_hidden(B, f2_s7_binop_1) & p1_s7_binop_1(A, B)) )  => r2_hidden(f4_s7_binop_1(A, B), f3_s7_binop_1)) ) )  =>  (? [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(f1_s7_binop_1, f2_s7_binop_1), f3_s7_binop_1))))  &  ( (! [B] :  (! [C] :  (r2_hidden(k4_tarski(B, C), k1_relset_1(k2_zfmisc_1(f1_s7_binop_1, f2_s7_binop_1), A)) <=>  (r2_hidden(B, f1_s7_binop_1) &  (r2_hidden(C, f2_s7_binop_1) & p1_s7_binop_1(B, C)) ) ) ) )  &  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(B, C), k1_relset_1(k2_zfmisc_1(f1_s7_binop_1, f2_s7_binop_1), A)) => k1_binop_1(A, B, C)=f4_s7_binop_1(B, C)) ) ) ) ) ) ) ).
fof(s8_binop_1, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s8_binop_1) =>  (! [B] :  (m1_subset_1(B, f2_s8_binop_1) =>  (p1_s8_binop_1(A, B) => r2_hidden(f4_s8_binop_1(A, B), f3_s8_binop_1)) ) ) ) )  =>  (? [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(f1_s8_binop_1, f2_s8_binop_1), f3_s8_binop_1))))  &  ( (! [B] :  (m1_subset_1(B, f1_s8_binop_1) =>  (! [C] :  (m1_subset_1(C, f2_s8_binop_1) =>  (r2_hidden(k4_tarski(B, C), k1_relset_1(k2_zfmisc_1(f1_s8_binop_1, f2_s8_binop_1), A)) <=> p1_s8_binop_1(B, C)) ) ) ) )  &  (! [B] :  (m1_subset_1(B, f1_s8_binop_1) =>  (! [C] :  (m1_subset_1(C, f2_s8_binop_1) =>  (r2_hidden(k4_tarski(B, C), k1_relset_1(k2_zfmisc_1(f1_s8_binop_1, f2_s8_binop_1), A)) => k1_binop_1(A, B, C)=f4_s8_binop_1(B, C)) ) ) ) ) ) ) ) ) ).
fof(s9_binop_1, axiom,  ( (! [A] :  (! [B] :  ~ ( (r2_tarski(A, f1_s9_binop_1) &  (r2_tarski(B, f2_s9_binop_1) &  (! [C] :  ~ ( (r2_tarski(C, f3_s9_binop_1) & p1_s9_binop_1(A, B, C)) ) ) ) ) ) ) )  =>  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(f1_s9_binop_1, f2_s9_binop_1), f3_s9_binop_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(f1_s9_binop_1, f2_s9_binop_1), f3_s9_binop_1)))) )  &  (! [B] :  (! [C] :  ( (r2_tarski(B, f1_s9_binop_1) & r2_tarski(C, f2_s9_binop_1))  => p1_s9_binop_1(B, C, k1_binop_1(A, B, C))) ) ) ) ) ) ).
fof(dt_k2_binop_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  &  (m1_subset_1(E, A) & m1_subset_1(F, B)) ) ) )  => m1_subset_1(k2_binop_1(A, B, C, D, E, F), C)) ) ).
fof(redefinition_k2_binop_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  &  (m1_subset_1(E, A) & m1_subset_1(F, B)) ) ) )  => k2_binop_1(A, B, C, D, E, F)=k1_binop_1(D, E, F)) ) ).
fof(dt_f1_s3_binop_1, axiom,  ~ (v1_xboole_0(f1_s3_binop_1)) ).
fof(dt_f2_s3_binop_1, axiom,  ~ (v1_xboole_0(f2_s3_binop_1)) ).
fof(dt_f3_s3_binop_1, axiom,  ~ (v1_xboole_0(f3_s3_binop_1)) ).
fof(dt_f1_s4_binop_1, axiom,  ~ (v1_xboole_0(f1_s4_binop_1)) ).
fof(dt_f2_s4_binop_1, axiom,  ~ (v1_xboole_0(f2_s4_binop_1)) ).
fof(dt_f3_s4_binop_1, axiom,  ~ (v1_xboole_0(f3_s4_binop_1)) ).
fof(dt_f4_s4_binop_1, axiom,  (! [A, B] : m1_subset_1(f4_s4_binop_1(A, B), f3_s4_binop_1)) ).
fof(dt_k3_binop_1, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  => m1_subset_1(k3_binop_1(A, B), A)) ) ).
fof(dt_f1_s8_binop_1, axiom,  ~ (v1_xboole_0(f1_s8_binop_1)) ).
fof(dt_f2_s8_binop_1, axiom,  ~ (v1_xboole_0(f2_s8_binop_1)) ).
fof(dt_k4_binop_1, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (m1_subset_1(C, A) & m1_subset_1(D, A)) )  => m1_subset_1(k4_binop_1(A, B, C, D), A)) ) ).
fof(redefinition_k4_binop_1, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (m1_subset_1(C, A) & m1_subset_1(D, A)) )  => k4_binop_1(A, B, C, D)=k1_binop_1(B, C, D)) ) ).
fof(symmetry_r8_binop_1, axiom,  (! [A, B, C, D, E] :  ( ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, B), C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) ) )  =>  (r8_binop_1(A, B, C, D, E) => r8_binop_1(A, B, C, E, D)) ) ) ).
fof(reflexivity_r8_binop_1, axiom,  (! [A, B, C, D, E] :  ( ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, B), C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) ) )  => r8_binop_1(A, B, C, D, D)) ) ).
fof(redefinition_r8_binop_1, axiom,  (! [A, B, C, D, E] :  ( ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, B), C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) ) )  =>  (r8_binop_1(A, B, C, D, E) <=> D=E) ) ) ).
fof(cc1_binop_2, axiom,  (! [A] :  (m1_subset_1(A, k3_numbers) => v1_rat_1(A)) ) ).
fof(fc1_binop_2, axiom,  (v1_funct_1(k3_binop_2) &  (v1_funct_2(k3_binop_2, k2_zfmisc_1(k2_numbers, k2_numbers), k2_numbers) &  (v1_binop_1(k3_binop_2, k2_numbers) & v2_binop_1(k3_binop_2, k2_numbers)) ) ) ).
fof(fc2_binop_2, axiom,  (v1_funct_1(k5_binop_2) &  (v1_funct_2(k5_binop_2, k2_zfmisc_1(k2_numbers, k2_numbers), k2_numbers) &  (v1_binop_1(k5_binop_2, k2_numbers) & v2_binop_1(k5_binop_2, k2_numbers)) ) ) ).
fof(fc3_binop_2, axiom,  (v1_funct_1(k9_binop_2) &  (v1_funct_2(k9_binop_2, k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers) &  (v1_binop_1(k9_binop_2, k1_numbers) & v2_binop_1(k9_binop_2, k1_numbers)) ) ) ).
fof(fc4_binop_2, axiom,  (v1_funct_1(k11_binop_2) &  (v1_funct_2(k11_binop_2, k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers) &  (v1_binop_1(k11_binop_2, k1_numbers) & v2_binop_1(k11_binop_2, k1_numbers)) ) ) ).
fof(fc5_binop_2, axiom,  (v1_funct_1(k15_binop_2) &  (v1_funct_2(k15_binop_2, k2_zfmisc_1(k3_numbers, k3_numbers), k3_numbers) &  (v1_binop_1(k15_binop_2, k3_numbers) & v2_binop_1(k15_binop_2, k3_numbers)) ) ) ).
fof(fc6_binop_2, axiom,  (v1_funct_1(k17_binop_2) &  (v1_funct_2(k17_binop_2, k2_zfmisc_1(k3_numbers, k3_numbers), k3_numbers) &  (v1_binop_1(k17_binop_2, k3_numbers) & v2_binop_1(k17_binop_2, k3_numbers)) ) ) ).
fof(fc7_binop_2, axiom,  (v1_funct_1(k20_binop_2) &  (v1_funct_2(k20_binop_2, k2_zfmisc_1(k4_numbers, k4_numbers), k4_numbers) &  (v1_binop_1(k20_binop_2, k4_numbers) & v2_binop_1(k20_binop_2, k4_numbers)) ) ) ).
fof(fc8_binop_2, axiom,  (v1_funct_1(k22_binop_2) &  (v1_funct_2(k22_binop_2, k2_zfmisc_1(k4_numbers, k4_numbers), k4_numbers) &  (v1_binop_1(k22_binop_2, k4_numbers) & v2_binop_1(k22_binop_2, k4_numbers)) ) ) ).
fof(fc9_binop_2, axiom,  (v1_funct_1(k23_binop_2) &  (v1_funct_2(k23_binop_2, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_ordinal1) &  (v1_binop_1(k23_binop_2, k4_ordinal1) & v2_binop_1(k23_binop_2, k4_ordinal1)) ) ) ).
fof(fc10_binop_2, axiom,  (v1_funct_1(k24_binop_2) &  (v1_funct_2(k24_binop_2, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_ordinal1) &  (v1_binop_1(k24_binop_2, k4_ordinal1) & v2_binop_1(k24_binop_2, k4_ordinal1)) ) ) ).
fof(fc11_binop_2, axiom,  (v1_funct_1(k3_binop_2) &  (v1_funct_2(k3_binop_2, k2_zfmisc_1(k2_numbers, k2_numbers), k2_numbers) & v1_setwiseo(k3_binop_2, k2_numbers)) ) ).
fof(fc12_binop_2, axiom,  (v1_funct_1(k9_binop_2) &  (v1_funct_2(k9_binop_2, k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers) & v1_setwiseo(k9_binop_2, k1_numbers)) ) ).
fof(fc13_binop_2, axiom,  (v1_funct_1(k15_binop_2) &  (v1_funct_2(k15_binop_2, k2_zfmisc_1(k3_numbers, k3_numbers), k3_numbers) & v1_setwiseo(k15_binop_2, k3_numbers)) ) ).
fof(fc14_binop_2, axiom,  (v1_funct_1(k20_binop_2) &  (v1_funct_2(k20_binop_2, k2_zfmisc_1(k4_numbers, k4_numbers), k4_numbers) & v1_setwiseo(k20_binop_2, k4_numbers)) ) ).
fof(fc15_binop_2, axiom,  (v1_funct_1(k23_binop_2) &  (v1_funct_2(k23_binop_2, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_ordinal1) & v1_setwiseo(k23_binop_2, k4_ordinal1)) ) ).
fof(fc16_binop_2, axiom,  (v1_funct_1(k5_binop_2) &  (v1_funct_2(k5_binop_2, k2_zfmisc_1(k2_numbers, k2_numbers), k2_numbers) & v1_setwiseo(k5_binop_2, k2_numbers)) ) ).
fof(fc17_binop_2, axiom,  (v1_funct_1(k11_binop_2) &  (v1_funct_2(k11_binop_2, k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers) & v1_setwiseo(k11_binop_2, k1_numbers)) ) ).
fof(fc18_binop_2, axiom,  (v1_funct_1(k17_binop_2) &  (v1_funct_2(k17_binop_2, k2_zfmisc_1(k3_numbers, k3_numbers), k3_numbers) & v1_setwiseo(k17_binop_2, k3_numbers)) ) ).
fof(fc19_binop_2, axiom,  (v1_funct_1(k22_binop_2) &  (v1_funct_2(k22_binop_2, k2_zfmisc_1(k4_numbers, k4_numbers), k4_numbers) & v1_setwiseo(k22_binop_2, k4_numbers)) ) ).
fof(fc20_binop_2, axiom,  (v1_funct_1(k24_binop_2) &  (v1_funct_2(k24_binop_2, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_ordinal1) & v1_setwiseo(k24_binop_2, k4_ordinal1)) ) ).
fof(fc21_binop_2, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  => v1_xreal_0(k1_binop_1(A, B, C))) ) ).
fof(d1_binop_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_numbers, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers)))) )  =>  (A=k1_binop_2 <=>  (! [B] :  (v1_xcmplx_0(B) => k1_funct_1(A, B)=k4_xcmplx_0(B)) ) ) ) ) ).
fof(d2_binop_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_numbers, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers)))) )  =>  (A=k2_binop_2 <=>  (! [B] :  (v1_xcmplx_0(B) => k1_funct_1(A, B)=k5_xcmplx_0(B)) ) ) ) ) ).
fof(d3_binop_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k2_numbers, k2_numbers), k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers), k2_numbers)))) )  =>  (A=k3_binop_2 <=>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k1_binop_1(A, B, C)=k2_xcmplx_0(B, C)) ) ) ) ) ) ) ).
fof(d4_binop_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k2_numbers, k2_numbers), k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers), k2_numbers)))) )  =>  (A=k4_binop_2 <=>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k1_binop_1(A, B, C)=k6_xcmplx_0(B, C)) ) ) ) ) ) ) ).
fof(d5_binop_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k2_numbers, k2_numbers), k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers), k2_numbers)))) )  =>  (A=k5_binop_2 <=>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k1_binop_1(A, B, C)=k3_xcmplx_0(B, C)) ) ) ) ) ) ) ).
fof(d6_binop_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k2_numbers, k2_numbers), k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers), k2_numbers)))) )  =>  (A=k6_binop_2 <=>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k1_binop_1(A, B, C)=k7_xcmplx_0(B, C)) ) ) ) ) ) ) ).
fof(d7_binop_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (A=k7_binop_2 <=>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(A, B)=k4_xcmplx_0(B)) ) ) ) ) ).
fof(d8_binop_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (A=k8_binop_2 <=>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(A, B)=k5_xcmplx_0(B)) ) ) ) ) ).
fof(d9_binop_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers)))) )  =>  (A=k9_binop_2 <=>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) => k1_binop_1(A, B, C)=k2_xcmplx_0(B, C)) ) ) ) ) ) ) ).
fof(d10_binop_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers)))) )  =>  (A=k10_binop_2 <=>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) => k1_binop_1(A, B, C)=k6_xcmplx_0(B, C)) ) ) ) ) ) ) ).
fof(d11_binop_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers)))) )  =>  (A=k11_binop_2 <=>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) => k1_binop_1(A, B, C)=k3_xcmplx_0(B, C)) ) ) ) ) ) ) ).
fof(d12_binop_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers)))) )  =>  (A=k12_binop_2 <=>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) => k1_binop_1(A, B, C)=k7_xcmplx_0(B, C)) ) ) ) ) ) ) ).
fof(d13_binop_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k3_numbers, k3_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k3_numbers, k3_numbers)))) )  =>  (A=k13_binop_2 <=>  (! [B] :  (v1_rat_1(B) => k1_funct_1(A, B)=k4_xcmplx_0(B)) ) ) ) ) ).
fof(d14_binop_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k3_numbers, k3_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k3_numbers, k3_numbers)))) )  =>  (A=k14_binop_2 <=>  (! [B] :  (v1_rat_1(B) => k1_funct_1(A, B)=k5_xcmplx_0(B)) ) ) ) ) ).
fof(d15_binop_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k3_numbers, k3_numbers), k3_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_numbers, k3_numbers), k3_numbers)))) )  =>  (A=k15_binop_2 <=>  (! [B] :  (v1_rat_1(B) =>  (! [C] :  (v1_rat_1(C) => k1_binop_1(A, B, C)=k2_xcmplx_0(B, C)) ) ) ) ) ) ) ).
fof(d16_binop_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k3_numbers, k3_numbers), k3_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_numbers, k3_numbers), k3_numbers)))) )  =>  (A=k16_binop_2 <=>  (! [B] :  (v1_rat_1(B) =>  (! [C] :  (v1_rat_1(C) => k1_binop_1(A, B, C)=k6_xcmplx_0(B, C)) ) ) ) ) ) ) ).
fof(d17_binop_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k3_numbers, k3_numbers), k3_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_numbers, k3_numbers), k3_numbers)))) )  =>  (A=k17_binop_2 <=>  (! [B] :  (v1_rat_1(B) =>  (! [C] :  (v1_rat_1(C) => k1_binop_1(A, B, C)=k3_xcmplx_0(B, C)) ) ) ) ) ) ) ).
fof(d18_binop_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k3_numbers, k3_numbers), k3_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_numbers, k3_numbers), k3_numbers)))) )  =>  (A=k18_binop_2 <=>  (! [B] :  (v1_rat_1(B) =>  (! [C] :  (v1_rat_1(C) => k1_binop_1(A, B, C)=k7_xcmplx_0(B, C)) ) ) ) ) ) ) ).
fof(d19_binop_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_numbers, k4_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_numbers, k4_numbers)))) )  =>  (A=k19_binop_2 <=>  (! [B] :  (v1_int_1(B) => k1_funct_1(A, B)=k4_xcmplx_0(B)) ) ) ) ) ).
fof(d20_binop_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_numbers, k4_numbers), k4_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_numbers, k4_numbers), k4_numbers)))) )  =>  (A=k20_binop_2 <=>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) => k1_binop_1(A, B, C)=k2_xcmplx_0(B, C)) ) ) ) ) ) ) ).
fof(d21_binop_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_numbers, k4_numbers), k4_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_numbers, k4_numbers), k4_numbers)))) )  =>  (A=k21_binop_2 <=>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) => k1_binop_1(A, B, C)=k6_xcmplx_0(B, C)) ) ) ) ) ) ) ).
fof(d22_binop_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_numbers, k4_numbers), k4_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_numbers, k4_numbers), k4_numbers)))) )  =>  (A=k22_binop_2 <=>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) => k1_binop_1(A, B, C)=k3_xcmplx_0(B, C)) ) ) ) ) ) ) ).
fof(d23_binop_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_ordinal1)))) )  =>  (A=k23_binop_2 <=>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k1_binop_1(A, B, C)=k2_xcmplx_0(B, C)) ) ) ) ) ) ) ).
fof(d24_binop_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_ordinal1)))) )  =>  (A=k24_binop_2 <=>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k1_binop_1(A, B, C)=k3_xcmplx_0(B, C)) ) ) ) ) ) ) ).
fof(t1_binop_2, axiom, k3_binop_1(k2_numbers, k3_binop_2)=k5_numbers).
fof(t2_binop_2, axiom, k3_binop_1(k1_numbers, k9_binop_2)=k5_numbers).
fof(t3_binop_2, axiom, k3_binop_1(k3_numbers, k15_binop_2)=k5_numbers).
fof(t4_binop_2, axiom, k3_binop_1(k4_numbers, k20_binop_2)=k5_numbers).
fof(t5_binop_2, axiom, k3_binop_1(k4_ordinal1, k23_binop_2)=k5_numbers).
fof(t6_binop_2, axiom, k3_binop_1(k2_numbers, k5_binop_2)=1).
fof(t7_binop_2, axiom, k3_binop_1(k1_numbers, k11_binop_2)=1).
fof(t8_binop_2, axiom, k3_binop_1(k3_numbers, k17_binop_2)=1).
fof(t9_binop_2, axiom, k3_binop_1(k4_numbers, k22_binop_2)=1).
fof(t10_binop_2, axiom, k3_binop_1(k4_ordinal1, k24_binop_2)=1).
fof(s1_binop_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, f1_s1_binop_2, f2_s1_binop_2) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(f1_s1_binop_2, f2_s1_binop_2)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, f1_s1_binop_2, f2_s1_binop_2) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(f1_s1_binop_2, f2_s1_binop_2)))) )  =>  ( ( (! [C] :  (m1_subset_1(C, f1_s1_binop_2) => k3_funct_2(f1_s1_binop_2, f2_s1_binop_2, A, C)=f3_s1_binop_2(C)) )  &  (! [C] :  (m1_subset_1(C, f1_s1_binop_2) => k3_funct_2(f1_s1_binop_2, f2_s1_binop_2, B, C)=f3_s1_binop_2(C)) ) )  => r2_funct_2(f1_s1_binop_2, f2_s1_binop_2, A, B)) ) ) ) ) ).
fof(s2_binop_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(f1_s2_binop_2, f1_s2_binop_2), f1_s2_binop_2) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(f1_s2_binop_2, f1_s2_binop_2), f1_s2_binop_2)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(f1_s2_binop_2, f1_s2_binop_2), f1_s2_binop_2) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(f1_s2_binop_2, f1_s2_binop_2), f1_s2_binop_2)))) )  =>  ( ( (! [C] :  (m1_subset_1(C, f1_s2_binop_2) =>  (! [D] :  (m1_subset_1(D, f1_s2_binop_2) => k4_binop_1(f1_s2_binop_2, A, C, D)=f2_s2_binop_2(C, D)) ) ) )  &  (! [C] :  (m1_subset_1(C, f1_s2_binop_2) =>  (! [D] :  (m1_subset_1(D, f1_s2_binop_2) => k4_binop_1(f1_s2_binop_2, B, C, D)=f2_s2_binop_2(C, D)) ) ) ) )  => r8_binop_1(f1_s2_binop_2, f1_s2_binop_2, f1_s2_binop_2, A, B)) ) ) ) ) ).
fof(s3_binop_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_numbers, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_numbers, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers)))) )  =>  ( ( (! [C] :  (v1_xcmplx_0(C) => k1_funct_1(A, C)=f1_s3_binop_2(C)) )  &  (! [C] :  (v1_xcmplx_0(C) => k1_funct_1(B, C)=f1_s3_binop_2(C)) ) )  => r2_funct_2(k2_numbers, k2_numbers, A, B)) ) ) ) ) ).
fof(s4_binop_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_numbers, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( ( (! [C] :  (v1_xreal_0(C) => k1_funct_1(A, C)=f1_s4_binop_2(C)) )  &  (! [C] :  (v1_xreal_0(C) => k1_funct_1(B, C)=f1_s4_binop_2(C)) ) )  => r2_funct_2(k1_numbers, k1_numbers, A, B)) ) ) ) ) ).
fof(s5_binop_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k3_numbers, k3_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k3_numbers, k3_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k3_numbers, k3_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k3_numbers, k3_numbers)))) )  =>  ( ( (! [C] :  (v1_rat_1(C) => k1_funct_1(A, C)=f1_s5_binop_2(C)) )  &  (! [C] :  (v1_rat_1(C) => k1_funct_1(B, C)=f1_s5_binop_2(C)) ) )  => r2_funct_2(k3_numbers, k3_numbers, A, B)) ) ) ) ) ).
fof(s6_binop_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_numbers, k4_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_numbers, k4_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_numbers, k4_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_numbers, k4_numbers)))) )  =>  ( ( (! [C] :  (v1_int_1(C) => k1_funct_1(A, C)=f1_s6_binop_2(C)) )  &  (! [C] :  (v1_int_1(C) => k1_funct_1(B, C)=f1_s6_binop_2(C)) ) )  => r2_funct_2(k4_numbers, k4_numbers, A, B)) ) ) ) ) ).
fof(s7_binop_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  =>  ( ( (! [C] :  (v7_ordinal1(C) => k8_nat_1(k4_ordinal1, A, C)=f1_s7_binop_2(C)) )  &  (! [C] :  (v7_ordinal1(C) => k8_nat_1(k4_ordinal1, B, C)=f1_s7_binop_2(C)) ) )  => r2_funct_2(k4_ordinal1, k4_ordinal1, A, B)) ) ) ) ) ).
fof(s8_binop_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k2_numbers, k2_numbers), k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers), k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k2_numbers, k2_numbers), k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers), k2_numbers)))) )  =>  ( ( (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) => k1_binop_1(A, C, D)=f1_s8_binop_2(C, D)) ) ) )  &  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) => k1_binop_1(B, C, D)=f1_s8_binop_2(C, D)) ) ) ) )  => r8_binop_1(k2_numbers, k2_numbers, k2_numbers, A, B)) ) ) ) ) ).
fof(s9_binop_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers)))) )  =>  ( ( (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => k1_binop_1(A, C, D)=f1_s9_binop_2(C, D)) ) ) )  &  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => k1_binop_1(B, C, D)=f1_s9_binop_2(C, D)) ) ) ) )  => r8_binop_1(k1_numbers, k1_numbers, k1_numbers, A, B)) ) ) ) ) ).
fof(s10_binop_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k3_numbers, k3_numbers), k3_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_numbers, k3_numbers), k3_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k3_numbers, k3_numbers), k3_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_numbers, k3_numbers), k3_numbers)))) )  =>  ( ( (! [C] :  (v1_rat_1(C) =>  (! [D] :  (v1_rat_1(D) => k1_binop_1(A, C, D)=f1_s10_binop_2(C, D)) ) ) )  &  (! [C] :  (v1_rat_1(C) =>  (! [D] :  (v1_rat_1(D) => k1_binop_1(B, C, D)=f1_s10_binop_2(C, D)) ) ) ) )  => r8_binop_1(k3_numbers, k3_numbers, k3_numbers, A, B)) ) ) ) ) ).
fof(s11_binop_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_numbers, k4_numbers), k4_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_numbers, k4_numbers), k4_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_numbers, k4_numbers), k4_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_numbers, k4_numbers), k4_numbers)))) )  =>  ( ( (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) => k1_binop_1(A, C, D)=f1_s11_binop_2(C, D)) ) ) )  &  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) => k1_binop_1(B, C, D)=f1_s11_binop_2(C, D)) ) ) ) )  => r8_binop_1(k4_numbers, k4_numbers, k4_numbers, A, B)) ) ) ) ) ).
fof(s12_binop_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_ordinal1)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_ordinal1)))) )  =>  ( ( (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k1_binop_1(A, C, D)=f1_s12_binop_2(C, D)) ) ) )  &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k1_binop_1(B, C, D)=f1_s12_binop_2(C, D)) ) ) ) )  => r8_binop_1(k4_ordinal1, k4_ordinal1, k4_ordinal1, A, B)) ) ) ) ) ).
fof(s13_binop_2, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k2_numbers, k2_numbers), k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers), k2_numbers)))) )  &  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k1_binop_1(A, B, C)=f1_s13_binop_2(B, C)) ) ) ) ) ) ).
fof(s14_binop_2, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers)))) )  &  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) => k1_binop_1(A, B, C)=f1_s14_binop_2(B, C)) ) ) ) ) ) ).
fof(s15_binop_2, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k3_numbers, k3_numbers), k3_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_numbers, k3_numbers), k3_numbers)))) )  &  (! [B] :  (v1_rat_1(B) =>  (! [C] :  (v1_rat_1(C) => k1_binop_1(A, B, C)=f1_s15_binop_2(B, C)) ) ) ) ) ) ).
fof(s16_binop_2, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_numbers, k4_numbers), k4_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_numbers, k4_numbers), k4_numbers)))) )  &  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) => k1_binop_1(A, B, C)=f1_s16_binop_2(B, C)) ) ) ) ) ) ).
fof(s17_binop_2, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_ordinal1)))) )  &  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k1_binop_1(A, B, C)=f1_s17_binop_2(B, C)) ) ) ) ) ) ).
fof(s18_binop_2, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_numbers, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers)))) )  &  (! [B] :  (v1_xcmplx_0(B) => k1_funct_1(A, B)=f1_s18_binop_2(B)) ) ) ) ).
fof(s19_binop_2, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (! [B] :  (v1_xreal_0(B) => k1_funct_1(A, B)=f1_s19_binop_2(B)) ) ) ) ).
fof(s20_binop_2, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k3_numbers, k3_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k3_numbers, k3_numbers)))) )  &  (! [B] :  (v1_rat_1(B) => k1_funct_1(A, B)=f1_s20_binop_2(B)) ) ) ) ).
fof(s21_binop_2, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_numbers, k4_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_numbers, k4_numbers)))) )  &  (! [B] :  (v1_int_1(B) => k1_funct_1(A, B)=f1_s21_binop_2(B)) ) ) ) ).
fof(s22_binop_2, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  &  (! [B] :  (v7_ordinal1(B) => k8_nat_1(k4_ordinal1, A, B)=f1_s22_binop_2(B)) ) ) ) ).
fof(dt_f1_s1_binop_2, axiom,  ~ (v1_xboole_0(f1_s1_binop_2)) ).
fof(dt_f2_s1_binop_2, axiom,  ~ (v1_xboole_0(f2_s1_binop_2)) ).
fof(dt_f1_s2_binop_2, axiom,  ~ (v1_xboole_0(f1_s2_binop_2)) ).
fof(dt_f1_s13_binop_2, axiom,  (! [A, B] : v1_xcmplx_0(f1_s13_binop_2(A, B))) ).
fof(dt_f1_s14_binop_2, axiom,  (! [A, B] : v1_xreal_0(f1_s14_binop_2(A, B))) ).
fof(dt_f1_s15_binop_2, axiom,  (! [A, B] : v1_rat_1(f1_s15_binop_2(A, B))) ).
fof(dt_f1_s16_binop_2, axiom,  (! [A, B] : v1_int_1(f1_s16_binop_2(A, B))) ).
fof(dt_f1_s17_binop_2, axiom,  (! [A, B] : v7_ordinal1(f1_s17_binop_2(A, B))) ).
fof(dt_f1_s18_binop_2, axiom,  (! [A] : v1_xcmplx_0(f1_s18_binop_2(A))) ).
fof(dt_f1_s19_binop_2, axiom,  (! [A] : v1_xreal_0(f1_s19_binop_2(A))) ).
fof(dt_f1_s20_binop_2, axiom,  (! [A] : v1_rat_1(f1_s20_binop_2(A))) ).
fof(dt_f1_s21_binop_2, axiom,  (! [A] : v1_int_1(f1_s21_binop_2(A))) ).
fof(dt_f1_s22_binop_2, axiom,  (! [A] : v7_ordinal1(f1_s22_binop_2(A))) ).
fof(dt_k1_binop_2, axiom,  (v1_funct_1(k1_binop_2) &  (v1_funct_2(k1_binop_2, k2_numbers, k2_numbers) & m1_subset_1(k1_binop_2, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers)))) ) ).
fof(dt_k2_binop_2, axiom,  (v1_funct_1(k2_binop_2) &  (v1_funct_2(k2_binop_2, k2_numbers, k2_numbers) & m1_subset_1(k2_binop_2, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers)))) ) ).
fof(dt_k3_binop_2, axiom,  (v1_funct_1(k3_binop_2) &  (v1_funct_2(k3_binop_2, k2_zfmisc_1(k2_numbers, k2_numbers), k2_numbers) & m1_subset_1(k3_binop_2, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers), k2_numbers)))) ) ).
fof(dt_k4_binop_2, axiom,  (v1_funct_1(k4_binop_2) &  (v1_funct_2(k4_binop_2, k2_zfmisc_1(k2_numbers, k2_numbers), k2_numbers) & m1_subset_1(k4_binop_2, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers), k2_numbers)))) ) ).
fof(dt_k5_binop_2, axiom,  (v1_funct_1(k5_binop_2) &  (v1_funct_2(k5_binop_2, k2_zfmisc_1(k2_numbers, k2_numbers), k2_numbers) & m1_subset_1(k5_binop_2, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers), k2_numbers)))) ) ).
fof(dt_k6_binop_2, axiom,  (v1_funct_1(k6_binop_2) &  (v1_funct_2(k6_binop_2, k2_zfmisc_1(k2_numbers, k2_numbers), k2_numbers) & m1_subset_1(k6_binop_2, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers), k2_numbers)))) ) ).
fof(dt_k7_binop_2, axiom,  (v1_funct_1(k7_binop_2) &  (v1_funct_2(k7_binop_2, k1_numbers, k1_numbers) & m1_subset_1(k7_binop_2, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ).
fof(dt_k8_binop_2, axiom,  (v1_funct_1(k8_binop_2) &  (v1_funct_2(k8_binop_2, k1_numbers, k1_numbers) & m1_subset_1(k8_binop_2, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ).
fof(dt_k9_binop_2, axiom,  (v1_funct_1(k9_binop_2) &  (v1_funct_2(k9_binop_2, k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers) & m1_subset_1(k9_binop_2, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers)))) ) ).
fof(dt_k10_binop_2, axiom,  (v1_funct_1(k10_binop_2) &  (v1_funct_2(k10_binop_2, k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers) & m1_subset_1(k10_binop_2, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers)))) ) ).
fof(dt_k11_binop_2, axiom,  (v1_funct_1(k11_binop_2) &  (v1_funct_2(k11_binop_2, k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers) & m1_subset_1(k11_binop_2, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers)))) ) ).
fof(dt_k12_binop_2, axiom,  (v1_funct_1(k12_binop_2) &  (v1_funct_2(k12_binop_2, k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers) & m1_subset_1(k12_binop_2, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers)))) ) ).
fof(dt_k13_binop_2, axiom,  (v1_funct_1(k13_binop_2) &  (v1_funct_2(k13_binop_2, k3_numbers, k3_numbers) & m1_subset_1(k13_binop_2, k1_zfmisc_1(k2_zfmisc_1(k3_numbers, k3_numbers)))) ) ).
fof(dt_k14_binop_2, axiom,  (v1_funct_1(k14_binop_2) &  (v1_funct_2(k14_binop_2, k3_numbers, k3_numbers) & m1_subset_1(k14_binop_2, k1_zfmisc_1(k2_zfmisc_1(k3_numbers, k3_numbers)))) ) ).
fof(dt_k15_binop_2, axiom,  (v1_funct_1(k15_binop_2) &  (v1_funct_2(k15_binop_2, k2_zfmisc_1(k3_numbers, k3_numbers), k3_numbers) & m1_subset_1(k15_binop_2, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_numbers, k3_numbers), k3_numbers)))) ) ).
fof(dt_k16_binop_2, axiom,  (v1_funct_1(k16_binop_2) &  (v1_funct_2(k16_binop_2, k2_zfmisc_1(k3_numbers, k3_numbers), k3_numbers) & m1_subset_1(k16_binop_2, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_numbers, k3_numbers), k3_numbers)))) ) ).
fof(dt_k17_binop_2, axiom,  (v1_funct_1(k17_binop_2) &  (v1_funct_2(k17_binop_2, k2_zfmisc_1(k3_numbers, k3_numbers), k3_numbers) & m1_subset_1(k17_binop_2, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_numbers, k3_numbers), k3_numbers)))) ) ).
fof(dt_k18_binop_2, axiom,  (v1_funct_1(k18_binop_2) &  (v1_funct_2(k18_binop_2, k2_zfmisc_1(k3_numbers, k3_numbers), k3_numbers) & m1_subset_1(k18_binop_2, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_numbers, k3_numbers), k3_numbers)))) ) ).
fof(dt_k19_binop_2, axiom,  (v1_funct_1(k19_binop_2) &  (v1_funct_2(k19_binop_2, k4_numbers, k4_numbers) & m1_subset_1(k19_binop_2, k1_zfmisc_1(k2_zfmisc_1(k4_numbers, k4_numbers)))) ) ).
fof(dt_k20_binop_2, axiom,  (v1_funct_1(k20_binop_2) &  (v1_funct_2(k20_binop_2, k2_zfmisc_1(k4_numbers, k4_numbers), k4_numbers) & m1_subset_1(k20_binop_2, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_numbers, k4_numbers), k4_numbers)))) ) ).
fof(dt_k21_binop_2, axiom,  (v1_funct_1(k21_binop_2) &  (v1_funct_2(k21_binop_2, k2_zfmisc_1(k4_numbers, k4_numbers), k4_numbers) & m1_subset_1(k21_binop_2, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_numbers, k4_numbers), k4_numbers)))) ) ).
fof(dt_k22_binop_2, axiom,  (v1_funct_1(k22_binop_2) &  (v1_funct_2(k22_binop_2, k2_zfmisc_1(k4_numbers, k4_numbers), k4_numbers) & m1_subset_1(k22_binop_2, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_numbers, k4_numbers), k4_numbers)))) ) ).
fof(dt_k23_binop_2, axiom,  (v1_funct_1(k23_binop_2) &  (v1_funct_2(k23_binop_2, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_ordinal1) & m1_subset_1(k23_binop_2, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_ordinal1)))) ) ).
fof(dt_k24_binop_2, axiom,  (v1_funct_1(k24_binop_2) &  (v1_funct_2(k24_binop_2, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_ordinal1) & m1_subset_1(k24_binop_2, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_ordinal1)))) ) ).
fof(fc1_bintree1, axiom,  ( ~ (v1_xboole_0(k2_trees_1(k5_numbers)))  &  (v1_trees_1(k2_trees_1(k5_numbers)) & v1_bintree1(k2_trees_1(k5_numbers))) ) ).
fof(fc2_bintree1, axiom,  ( ~ (v1_xboole_0(k2_trees_1(2)))  &  (v1_trees_1(k2_trees_1(2)) & v1_bintree1(k2_trees_1(2))) ) ).
fof(rc1_bintree1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v1_trees_1(A) & v1_bintree1(A)) ) ) ) ).
fof(rc2_bintree1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v3_trees_2(B) & v2_bintree1(B)) ) ) ) ) ) ) ) ).
fof(rc3_bintree1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v3_trees_2(A) & v2_bintree1(A)) ) ) ) ) ).
fof(cc1_bintree1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_trees_1(A) & v1_bintree1(A)) )  =>  ( ~ (v1_xboole_0(A))  &  (v1_trees_1(A) & v1_trees_2(A)) ) ) ) ).
fof(fc3_bintree1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  ( (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v3_trees_2(C) & v2_bintree1(C)) ) ) ) )  &  (v1_relat_1(D) &  (v5_relat_1(D, A) &  (v1_funct_1(D) &  (v1_finset_1(D) &  (v3_trees_2(D) & v2_bintree1(D)) ) ) ) ) ) ) )  =>  (v1_relat_1(k6_trees_4(B, C, D)) &  (v5_relat_1(k6_trees_4(B, C, D), A) &  (v1_funct_1(k6_trees_4(B, C, D)) &  (v1_finset_1(k6_trees_4(B, C, D)) &  (v3_trees_2(k6_trees_4(B, C, D)) & v2_bintree1(k6_trees_4(B, C, D))) ) ) ) ) ) ) ).
fof(rc4_bintree1, axiom,  (? [A] :  (l1_lang1(A) &  ( ~ (v2_struct_0(A))  &  (v1_lang1(A) &  (v1_dtconstr(A) &  (v2_dtconstr(A) &  (v3_dtconstr(A) & v3_bintree1(A)) ) ) ) ) ) ) ).
fof(cc2_bintree1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_dtconstr(A) &  (v2_dtconstr(A) &  (v3_bintree1(A) & l1_lang1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_dtconstr(A)) => v2_bintree1(B)) ) ) ) ).
fof(d1_bintree1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v3_trees_2(B)) ) )  => k1_bintree1(A, B)=k1_funct_1(B, k1_xboole_0)) ) ) ) ).
fof(t1_bintree1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v3_trees_2(B)) ) )  => k15_trees_3(k9_finseq_1(B))=k3_pre_poly(A, k1_bintree1(A, B))) ) ) ) ).
fof(t2_bintree1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v3_trees_2(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v1_funct_1(C) & v3_trees_2(C)) ) )  => k15_trees_3(k10_finseq_1(B, C))=k4_pre_poly(A, k1_bintree1(A, B), k1_bintree1(A, C))) ) ) ) ) ) ).
fof(d2_bintree1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_trees_1(A))  =>  (v1_bintree1(A) <=>  (! [B] :  (m1_trees_1(B, A) =>  ( ~ (r2_tarski(B, k3_trees_1(A)))  => k1_trees_2(A, B)=k7_domain_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)), k8_finseq_1(k4_ordinal1, B, k14_trees_3(k5_numbers)), k8_finseq_1(k4_ordinal1, B, k14_trees_3(1)))) ) ) ) ) ) ).
fof(t3_bintree1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_trees_1(A))  =>  (! [B] :  (m1_trees_1(B, A) =>  (k1_trees_2(A, B)=k1_xboole_0 <=> r2_tarski(B, k3_trees_1(A))) ) ) ) ) ).
fof(t4_bintree1, axiom, v1_bintree1(k2_trees_1(k5_numbers))).
fof(t5_bintree1, axiom, v1_bintree1(k2_trees_1(2))).
fof(d3_bintree1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_trees_2(A)) )  =>  (v2_bintree1(A) <=> v1_bintree1(k9_xtuple_0(A))) ) ) ).
fof(t6_bintree1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_trees_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_trees_1(B))  =>  (! [C] :  (m1_trees_1(C, k13_trees_3(A, B)) =>  ( (! [D] :  (m1_trees_1(D, A) =>  (C=k8_finseq_1(k4_ordinal1, k14_trees_3(k5_numbers), D) =>  (r2_tarski(C, k3_trees_1(k13_trees_3(A, B))) <=> r2_tarski(D, k3_trees_1(A))) ) ) )  &  (! [D] :  (m1_trees_1(D, B) =>  (C=k8_finseq_1(k4_ordinal1, k14_trees_3(1), D) =>  (r2_tarski(C, k3_trees_1(k13_trees_3(A, B))) <=> r2_tarski(D, k3_trees_1(B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_bintree1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_trees_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_trees_1(B))  =>  (! [C] :  (m1_trees_1(C, k13_trees_3(A, B)) =>  ( (C=k1_xboole_0 => k1_trees_2(k13_trees_3(A, B), C)=k7_domain_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)), k8_finseq_1(k4_ordinal1, C, k14_trees_3(k5_numbers)), k8_finseq_1(k4_ordinal1, C, k14_trees_3(1))))  &  ( (! [D] :  (m1_trees_1(D, A) =>  (C=k8_finseq_1(k4_ordinal1, k14_trees_3(k5_numbers), D) =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  (r2_tarski(E, k1_trees_2(A, D)) <=> r2_tarski(k7_finseq_1(k14_trees_3(k5_numbers), E), k1_trees_2(k13_trees_3(A, B), C))) ) ) ) ) )  &  (! [D] :  (m1_trees_1(D, B) =>  (C=k8_finseq_1(k4_ordinal1, k14_trees_3(1), D) =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  (r2_tarski(E, k1_trees_2(B, D)) <=> r2_tarski(k7_finseq_1(k14_trees_3(1), E), k1_trees_2(k13_trees_3(A, B), C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_bintree1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_trees_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_trees_1(B))  =>  ( (v1_bintree1(A) & v1_bintree1(B))  <=> v1_bintree1(k13_trees_3(A, B))) ) ) ) ) ).
fof(t9_bintree1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_trees_2(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_trees_2(B)) )  =>  (! [C] :  ( (v2_bintree1(A) & v2_bintree1(B))  <=> v2_bintree1(k6_trees_4(C, A, B))) ) ) ) ) ) ).
fof(d4_bintree1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lang1(A))  =>  (v3_bintree1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ~ ( (r1_lang1(A, B, C) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ (C=k4_pre_poly(u1_struct_0(A), D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_bintree1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_dtconstr(A) &  (v2_dtconstr(A) &  (v3_bintree1(A) & l1_lang1(A)) ) ) )  =>  (! [B] :  (m1_trees_4(B, k5_trees_3(u1_struct_0(A)), k4_dtconstr(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_lang1(A, C, k1_dtconstr(u1_struct_0(A), k5_trees_3(u1_struct_0(A)), B)) =>  (m2_subset_1(C, u1_struct_0(A), k7_dtconstr(A)) &  (k4_finseq_1(B)=k2_tarski(1, 2) &  (r2_tarski(1, k4_finseq_1(B)) &  (r2_tarski(2, k4_finseq_1(B)) &  (? [D] :  (m1_dtconstr(D, u1_struct_0(A), k5_trees_3(u1_struct_0(A)), k4_dtconstr(A)) &  (? [E] :  (m1_dtconstr(E, u1_struct_0(A), k5_trees_3(u1_struct_0(A)), k4_dtconstr(A)) &  (k1_dtconstr(u1_struct_0(A), k5_trees_3(u1_struct_0(A)), B)=k4_pre_poly(u1_struct_0(A), k1_bintree1(u1_struct_0(A), D), k1_bintree1(u1_struct_0(A), E)) &  (D=k1_funct_1(B, 1) &  (E=k1_funct_1(B, 2) &  (k8_trees_4(u1_struct_0(A), C, B)=k6_trees_4(C, D, E) &  (r2_tarski(D, k2_relset_1(k5_trees_3(u1_struct_0(A)), B)) & r2_tarski(E, k2_relset_1(k5_trees_3(u1_struct_0(A)), B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_bintree1, axiom,  (? [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_lang1(A) &  (v3_bintree1(A) & l1_lang1(A)) ) )  &  (u1_struct_0(A)=f1_s1_bintree1 &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_lang1(A, B, k4_pre_poly(u1_struct_0(A), C, D)) <=> p1_s1_bintree1(B, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(s2_bintree1, axiom,  ( ( (! [A] :  (m2_subset_1(A, u1_struct_0(f1_s2_bintree1), k6_dtconstr(f1_s2_bintree1)) => p1_s2_bintree1(k8_dtconstr(f1_s2_bintree1, A))) )  &  (! [A] :  (m2_subset_1(A, u1_struct_0(f1_s2_bintree1), k7_dtconstr(f1_s2_bintree1)) =>  (! [B] :  (m1_dtconstr(B, u1_struct_0(f1_s2_bintree1), k5_trees_3(u1_struct_0(f1_s2_bintree1)), k4_dtconstr(f1_s2_bintree1)) =>  (! [C] :  (m1_dtconstr(C, u1_struct_0(f1_s2_bintree1), k5_trees_3(u1_struct_0(f1_s2_bintree1)), k4_dtconstr(f1_s2_bintree1)) =>  ( (r1_lang1(f1_s2_bintree1, A, k4_pre_poly(u1_struct_0(f1_s2_bintree1), k1_bintree1(u1_struct_0(f1_s2_bintree1), B), k1_bintree1(u1_struct_0(f1_s2_bintree1), C))) &  (p1_s2_bintree1(B) & p1_s2_bintree1(C)) )  => p1_s2_bintree1(k6_trees_4(A, B, C))) ) ) ) ) ) ) )  =>  (! [A] :  (m1_dtconstr(A, u1_struct_0(f1_s2_bintree1), k5_trees_3(u1_struct_0(f1_s2_bintree1)), k4_dtconstr(f1_s2_bintree1)) => p1_s2_bintree1(A)) ) ) ).
fof(s3_bintree1, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_dtconstr(f1_s3_bintree1), f2_s3_bintree1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(f1_s3_bintree1), f2_s3_bintree1)))) )  &  ( (! [B] :  (m2_subset_1(B, u1_struct_0(f1_s3_bintree1), k6_dtconstr(f1_s3_bintree1)) => k3_funct_2(k4_dtconstr(f1_s3_bintree1), f2_s3_bintree1, A, k8_dtconstr(f1_s3_bintree1, B))=f3_s3_bintree1(B)) )  &  (! [B] :  (m2_subset_1(B, u1_struct_0(f1_s3_bintree1), k7_dtconstr(f1_s3_bintree1)) =>  (! [C] :  (m1_dtconstr(C, u1_struct_0(f1_s3_bintree1), k5_trees_3(u1_struct_0(f1_s3_bintree1)), k4_dtconstr(f1_s3_bintree1)) =>  (! [D] :  (m1_dtconstr(D, u1_struct_0(f1_s3_bintree1), k5_trees_3(u1_struct_0(f1_s3_bintree1)), k4_dtconstr(f1_s3_bintree1)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(f1_s3_bintree1)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(f1_s3_bintree1)) =>  ( (E=k1_bintree1(u1_struct_0(f1_s3_bintree1), C) &  (F=k1_bintree1(u1_struct_0(f1_s3_bintree1), D) & r1_lang1(f1_s3_bintree1, B, k4_pre_poly(u1_struct_0(f1_s3_bintree1), E, F))) )  =>  (! [G] :  (m1_subset_1(G, f2_s3_bintree1) =>  (! [H] :  (m1_subset_1(H, f2_s3_bintree1) =>  ( (G=k3_funct_2(k4_dtconstr(f1_s3_bintree1), f2_s3_bintree1, A, C) & H=k3_funct_2(k4_dtconstr(f1_s3_bintree1), f2_s3_bintree1, A, D))  => k1_funct_1(A, k6_trees_4(B, C, D))=f4_s3_bintree1(B, E, F, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s4_bintree1, axiom,  ( ( ( (! [A] :  (m2_subset_1(A, u1_struct_0(f1_s4_bintree1), k6_dtconstr(f1_s4_bintree1)) => k3_funct_2(k4_dtconstr(f1_s4_bintree1), f2_s4_bintree1, f3_s4_bintree1, k8_dtconstr(f1_s4_bintree1, A))=f5_s4_bintree1(A)) )  &  (! [A] :  (m2_subset_1(A, u1_struct_0(f1_s4_bintree1), k7_dtconstr(f1_s4_bintree1)) =>  (! [B] :  (m1_dtconstr(B, u1_struct_0(f1_s4_bintree1), k5_trees_3(u1_struct_0(f1_s4_bintree1)), k4_dtconstr(f1_s4_bintree1)) =>  (! [C] :  (m1_dtconstr(C, u1_struct_0(f1_s4_bintree1), k5_trees_3(u1_struct_0(f1_s4_bintree1)), k4_dtconstr(f1_s4_bintree1)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(f1_s4_bintree1)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(f1_s4_bintree1)) =>  ( (D=k1_bintree1(u1_struct_0(f1_s4_bintree1), B) &  (E=k1_bintree1(u1_struct_0(f1_s4_bintree1), C) & r1_lang1(f1_s4_bintree1, A, k4_pre_poly(u1_struct_0(f1_s4_bintree1), D, E))) )  =>  (! [F] :  (m1_subset_1(F, f2_s4_bintree1) =>  (! [G] :  (m1_subset_1(G, f2_s4_bintree1) =>  ( (F=k3_funct_2(k4_dtconstr(f1_s4_bintree1), f2_s4_bintree1, f3_s4_bintree1, B) & G=k3_funct_2(k4_dtconstr(f1_s4_bintree1), f2_s4_bintree1, f3_s4_bintree1, C))  => k1_funct_1(f3_s4_bintree1, k6_trees_4(A, B, C))=f6_s4_bintree1(A, D, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (! [A] :  (m2_subset_1(A, u1_struct_0(f1_s4_bintree1), k6_dtconstr(f1_s4_bintree1)) => k3_funct_2(k4_dtconstr(f1_s4_bintree1), f2_s4_bintree1, f4_s4_bintree1, k8_dtconstr(f1_s4_bintree1, A))=f5_s4_bintree1(A)) )  &  (! [A] :  (m2_subset_1(A, u1_struct_0(f1_s4_bintree1), k7_dtconstr(f1_s4_bintree1)) =>  (! [B] :  (m1_dtconstr(B, u1_struct_0(f1_s4_bintree1), k5_trees_3(u1_struct_0(f1_s4_bintree1)), k4_dtconstr(f1_s4_bintree1)) =>  (! [C] :  (m1_dtconstr(C, u1_struct_0(f1_s4_bintree1), k5_trees_3(u1_struct_0(f1_s4_bintree1)), k4_dtconstr(f1_s4_bintree1)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(f1_s4_bintree1)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(f1_s4_bintree1)) =>  ( (D=k1_bintree1(u1_struct_0(f1_s4_bintree1), B) &  (E=k1_bintree1(u1_struct_0(f1_s4_bintree1), C) & r1_lang1(f1_s4_bintree1, A, k4_pre_poly(u1_struct_0(f1_s4_bintree1), D, E))) )  =>  (! [F] :  (m1_subset_1(F, f2_s4_bintree1) =>  (! [G] :  (m1_subset_1(G, f2_s4_bintree1) =>  ( (F=k3_funct_2(k4_dtconstr(f1_s4_bintree1), f2_s4_bintree1, f4_s4_bintree1, B) & G=k3_funct_2(k4_dtconstr(f1_s4_bintree1), f2_s4_bintree1, f4_s4_bintree1, C))  => k1_funct_1(f4_s4_bintree1, k6_trees_4(A, B, C))=f6_s4_bintree1(A, D, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  => r2_funct_2(k4_dtconstr(f1_s4_bintree1), f2_s4_bintree1, f3_s4_bintree1, f4_s4_bintree1)) ).
fof(s5_bintree1, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_dtconstr(f1_s5_bintree1), k9_funct_2(f2_s5_bintree1, f3_s5_bintree1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(f1_s5_bintree1), k9_funct_2(f2_s5_bintree1, f3_s5_bintree1))))) )  &  ( (! [B] :  (m2_subset_1(B, u1_struct_0(f1_s5_bintree1), k6_dtconstr(f1_s5_bintree1)) =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, f2_s5_bintree1, f3_s5_bintree1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(f2_s5_bintree1, f3_s5_bintree1)))) )  &  (C=k3_funct_2(k4_dtconstr(f1_s5_bintree1), k9_funct_2(f2_s5_bintree1, f3_s5_bintree1), A, k8_dtconstr(f1_s5_bintree1, B)) &  (! [D] :  (m1_subset_1(D, f2_s5_bintree1) => k3_funct_2(f2_s5_bintree1, f3_s5_bintree1, C, D)=f4_s5_bintree1(B, D)) ) ) ) ) ) )  &  (! [B] :  (m2_subset_1(B, u1_struct_0(f1_s5_bintree1), k7_dtconstr(f1_s5_bintree1)) =>  (! [C] :  (m1_dtconstr(C, u1_struct_0(f1_s5_bintree1), k5_trees_3(u1_struct_0(f1_s5_bintree1)), k4_dtconstr(f1_s5_bintree1)) =>  (! [D] :  (m1_dtconstr(D, u1_struct_0(f1_s5_bintree1), k5_trees_3(u1_struct_0(f1_s5_bintree1)), k4_dtconstr(f1_s5_bintree1)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(f1_s5_bintree1)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(f1_s5_bintree1)) =>  ~ ( (E=k1_bintree1(u1_struct_0(f1_s5_bintree1), C) &  (F=k1_bintree1(u1_struct_0(f1_s5_bintree1), D) &  (r1_lang1(f1_s5_bintree1, B, k4_pre_poly(u1_struct_0(f1_s5_bintree1), E, F)) &  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, f2_s5_bintree1, f3_s5_bintree1) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(f2_s5_bintree1, f3_s5_bintree1)))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, f2_s5_bintree1, f3_s5_bintree1) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(f2_s5_bintree1, f3_s5_bintree1)))) )  =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, f2_s5_bintree1, f3_s5_bintree1) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(f2_s5_bintree1, f3_s5_bintree1)))) )  =>  ~ ( (G=k1_funct_1(A, k6_trees_4(B, C, D)) &  (H=k3_funct_2(k4_dtconstr(f1_s5_bintree1), k9_funct_2(f2_s5_bintree1, f3_s5_bintree1), A, C) &  (I=k3_funct_2(k4_dtconstr(f1_s5_bintree1), k9_funct_2(f2_s5_bintree1, f3_s5_bintree1), A, D) &  (! [J] :  (m1_subset_1(J, f2_s5_bintree1) => k3_funct_2(f2_s5_bintree1, f3_s5_bintree1, G, J)=f5_s5_bintree1(B, H, I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s6_bintree1, axiom,  ( ( ( (! [A] :  (m2_subset_1(A, u1_struct_0(f1_s6_bintree1), k6_dtconstr(f1_s6_bintree1)) =>  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, f2_s6_bintree1, f3_s6_bintree1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(f2_s6_bintree1, f3_s6_bintree1)))) )  &  (B=k3_funct_2(k4_dtconstr(f1_s6_bintree1), k9_funct_2(f2_s6_bintree1, f3_s6_bintree1), f4_s6_bintree1, k8_dtconstr(f1_s6_bintree1, A)) &  (! [C] :  (m1_subset_1(C, f2_s6_bintree1) => k3_funct_2(f2_s6_bintree1, f3_s6_bintree1, B, C)=f6_s6_bintree1(A, C)) ) ) ) ) ) )  &  (! [A] :  (m2_subset_1(A, u1_struct_0(f1_s6_bintree1), k7_dtconstr(f1_s6_bintree1)) =>  (! [B] :  (m1_dtconstr(B, u1_struct_0(f1_s6_bintree1), k5_trees_3(u1_struct_0(f1_s6_bintree1)), k4_dtconstr(f1_s6_bintree1)) =>  (! [C] :  (m1_dtconstr(C, u1_struct_0(f1_s6_bintree1), k5_trees_3(u1_struct_0(f1_s6_bintree1)), k4_dtconstr(f1_s6_bintree1)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(f1_s6_bintree1)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(f1_s6_bintree1)) =>  ~ ( (D=k1_bintree1(u1_struct_0(f1_s6_bintree1), B) &  (E=k1_bintree1(u1_struct_0(f1_s6_bintree1), C) &  (r1_lang1(f1_s6_bintree1, A, k4_pre_poly(u1_struct_0(f1_s6_bintree1), D, E)) &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, f2_s6_bintree1, f3_s6_bintree1) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(f2_s6_bintree1, f3_s6_bintree1)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, f2_s6_bintree1, f3_s6_bintree1) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(f2_s6_bintree1, f3_s6_bintree1)))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, f2_s6_bintree1, f3_s6_bintree1) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(f2_s6_bintree1, f3_s6_bintree1)))) )  =>  ~ ( (F=k1_funct_1(f4_s6_bintree1, k6_trees_4(A, B, C)) &  (G=k3_funct_2(k4_dtconstr(f1_s6_bintree1), k9_funct_2(f2_s6_bintree1, f3_s6_bintree1), f4_s6_bintree1, B) &  (H=k3_funct_2(k4_dtconstr(f1_s6_bintree1), k9_funct_2(f2_s6_bintree1, f3_s6_bintree1), f4_s6_bintree1, C) &  (! [I] :  (m1_subset_1(I, f2_s6_bintree1) => k3_funct_2(f2_s6_bintree1, f3_s6_bintree1, F, I)=f7_s6_bintree1(A, G, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (! [A] :  (m2_subset_1(A, u1_struct_0(f1_s6_bintree1), k6_dtconstr(f1_s6_bintree1)) =>  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, f2_s6_bintree1, f3_s6_bintree1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(f2_s6_bintree1, f3_s6_bintree1)))) )  &  (B=k3_funct_2(k4_dtconstr(f1_s6_bintree1), k9_funct_2(f2_s6_bintree1, f3_s6_bintree1), f5_s6_bintree1, k8_dtconstr(f1_s6_bintree1, A)) &  (! [C] :  (m1_subset_1(C, f2_s6_bintree1) => k3_funct_2(f2_s6_bintree1, f3_s6_bintree1, B, C)=f6_s6_bintree1(A, C)) ) ) ) ) ) )  &  (! [A] :  (m2_subset_1(A, u1_struct_0(f1_s6_bintree1), k7_dtconstr(f1_s6_bintree1)) =>  (! [B] :  (m1_dtconstr(B, u1_struct_0(f1_s6_bintree1), k5_trees_3(u1_struct_0(f1_s6_bintree1)), k4_dtconstr(f1_s6_bintree1)) =>  (! [C] :  (m1_dtconstr(C, u1_struct_0(f1_s6_bintree1), k5_trees_3(u1_struct_0(f1_s6_bintree1)), k4_dtconstr(f1_s6_bintree1)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(f1_s6_bintree1)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(f1_s6_bintree1)) =>  ~ ( (D=k1_bintree1(u1_struct_0(f1_s6_bintree1), B) &  (E=k1_bintree1(u1_struct_0(f1_s6_bintree1), C) &  (r1_lang1(f1_s6_bintree1, A, k4_pre_poly(u1_struct_0(f1_s6_bintree1), D, E)) &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, f2_s6_bintree1, f3_s6_bintree1) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(f2_s6_bintree1, f3_s6_bintree1)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, f2_s6_bintree1, f3_s6_bintree1) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(f2_s6_bintree1, f3_s6_bintree1)))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, f2_s6_bintree1, f3_s6_bintree1) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(f2_s6_bintree1, f3_s6_bintree1)))) )  =>  ~ ( (F=k1_funct_1(f5_s6_bintree1, k6_trees_4(A, B, C)) &  (G=k3_funct_2(k4_dtconstr(f1_s6_bintree1), k9_funct_2(f2_s6_bintree1, f3_s6_bintree1), f5_s6_bintree1, B) &  (H=k3_funct_2(k4_dtconstr(f1_s6_bintree1), k9_funct_2(f2_s6_bintree1, f3_s6_bintree1), f5_s6_bintree1, C) &  (! [I] :  (m1_subset_1(I, f2_s6_bintree1) => k3_funct_2(f2_s6_bintree1, f3_s6_bintree1, F, I)=f7_s6_bintree1(A, G, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  => r2_funct_2(k4_dtconstr(f1_s6_bintree1), k9_funct_2(f2_s6_bintree1, f3_s6_bintree1), f4_s6_bintree1, f5_s6_bintree1)) ).
fof(dt_k1_bintree1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v3_trees_2(B)) ) ) )  => m1_subset_1(k1_bintree1(A, B), A)) ) ).
fof(dt_f1_s1_bintree1, axiom,  ~ (v1_xboole_0(f1_s1_bintree1)) ).
fof(dt_f1_s2_bintree1, axiom,  ( ~ (v2_struct_0(f1_s2_bintree1))  &  (v1_dtconstr(f1_s2_bintree1) &  (v2_dtconstr(f1_s2_bintree1) &  (v3_bintree1(f1_s2_bintree1) & l1_lang1(f1_s2_bintree1)) ) ) ) ).
fof(dt_f1_s3_bintree1, axiom,  ( ~ (v2_struct_0(f1_s3_bintree1))  &  (v1_dtconstr(f1_s3_bintree1) &  (v2_dtconstr(f1_s3_bintree1) &  (v3_dtconstr(f1_s3_bintree1) &  (v3_bintree1(f1_s3_bintree1) & l1_lang1(f1_s3_bintree1)) ) ) ) ) ).
fof(dt_f2_s3_bintree1, axiom,  ~ (v1_xboole_0(f2_s3_bintree1)) ).
fof(dt_f3_s3_bintree1, axiom,  (! [A] : m1_subset_1(f3_s3_bintree1(A), f2_s3_bintree1)) ).
fof(dt_f4_s3_bintree1, axiom,  (! [A, B, C, D, E] : m1_subset_1(f4_s3_bintree1(A, B, C, D, E), f2_s3_bintree1)) ).
fof(dt_f1_s4_bintree1, axiom,  ( ~ (v2_struct_0(f1_s4_bintree1))  &  (v1_dtconstr(f1_s4_bintree1) &  (v2_dtconstr(f1_s4_bintree1) &  (v3_dtconstr(f1_s4_bintree1) &  (v3_bintree1(f1_s4_bintree1) & l1_lang1(f1_s4_bintree1)) ) ) ) ) ).
fof(dt_f2_s4_bintree1, axiom,  ~ (v1_xboole_0(f2_s4_bintree1)) ).
fof(dt_f3_s4_bintree1, axiom,  (v1_funct_1(f3_s4_bintree1) &  (v1_funct_2(f3_s4_bintree1, k4_dtconstr(f1_s4_bintree1), f2_s4_bintree1) & m1_subset_1(f3_s4_bintree1, k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(f1_s4_bintree1), f2_s4_bintree1)))) ) ).
fof(dt_f4_s4_bintree1, axiom,  (v1_funct_1(f4_s4_bintree1) &  (v1_funct_2(f4_s4_bintree1, k4_dtconstr(f1_s4_bintree1), f2_s4_bintree1) & m1_subset_1(f4_s4_bintree1, k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(f1_s4_bintree1), f2_s4_bintree1)))) ) ).
fof(dt_f5_s4_bintree1, axiom,  (! [A] : m1_subset_1(f5_s4_bintree1(A), f2_s4_bintree1)) ).
fof(dt_f6_s4_bintree1, axiom,  (! [A, B, C, D, E] : m1_subset_1(f6_s4_bintree1(A, B, C, D, E), f2_s4_bintree1)) ).
fof(dt_f1_s5_bintree1, axiom,  ( ~ (v2_struct_0(f1_s5_bintree1))  &  (v1_dtconstr(f1_s5_bintree1) &  (v2_dtconstr(f1_s5_bintree1) &  (v3_dtconstr(f1_s5_bintree1) &  (v3_bintree1(f1_s5_bintree1) & l1_lang1(f1_s5_bintree1)) ) ) ) ) ).
fof(dt_f2_s5_bintree1, axiom,  ~ (v1_xboole_0(f2_s5_bintree1)) ).
fof(dt_f3_s5_bintree1, axiom,  ~ (v1_xboole_0(f3_s5_bintree1)) ).
fof(dt_f4_s5_bintree1, axiom,  (! [A, B] : m1_subset_1(f4_s5_bintree1(A, B), f3_s5_bintree1)) ).
fof(dt_f5_s5_bintree1, axiom,  (! [A, B, C, D] : m1_subset_1(f5_s5_bintree1(A, B, C, D), f3_s5_bintree1)) ).
fof(dt_f1_s6_bintree1, axiom,  ( ~ (v2_struct_0(f1_s6_bintree1))  &  (v1_dtconstr(f1_s6_bintree1) &  (v2_dtconstr(f1_s6_bintree1) &  (v3_dtconstr(f1_s6_bintree1) &  (v3_bintree1(f1_s6_bintree1) & l1_lang1(f1_s6_bintree1)) ) ) ) ) ).
fof(dt_f2_s6_bintree1, axiom,  ~ (v1_xboole_0(f2_s6_bintree1)) ).
fof(dt_f3_s6_bintree1, axiom,  ~ (v1_xboole_0(f3_s6_bintree1)) ).
fof(dt_f4_s6_bintree1, axiom,  (v1_funct_1(f4_s6_bintree1) &  (v1_funct_2(f4_s6_bintree1, k4_dtconstr(f1_s6_bintree1), k9_funct_2(f2_s6_bintree1, f3_s6_bintree1)) & m1_subset_1(f4_s6_bintree1, k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(f1_s6_bintree1), k9_funct_2(f2_s6_bintree1, f3_s6_bintree1))))) ) ).
fof(dt_f5_s6_bintree1, axiom,  (v1_funct_1(f5_s6_bintree1) &  (v1_funct_2(f5_s6_bintree1, k4_dtconstr(f1_s6_bintree1), k9_funct_2(f2_s6_bintree1, f3_s6_bintree1)) & m1_subset_1(f5_s6_bintree1, k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(f1_s6_bintree1), k9_funct_2(f2_s6_bintree1, f3_s6_bintree1))))) ) ).
fof(dt_f6_s6_bintree1, axiom,  (! [A, B] : m1_subset_1(f6_s6_bintree1(A, B), f3_s6_bintree1)) ).
fof(dt_f7_s6_bintree1, axiom,  (! [A, B, C, D] : m1_subset_1(f7_s6_bintree1(A, B, C, D), f3_s6_bintree1)) ).
fof(fc1_bintree2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_trees_1(A) & v1_bintree1(A)) )  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  (v1_funct_1(k1_bintree2(A, B)) &  (v2_funct_1(k1_bintree2(A, B)) & v1_funct_2(k1_bintree2(A, B), k2_trees_2(A, B), k4_ordinal1)) ) ) ) ).
fof(fc2_bintree2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_trees_1(A) & v1_bintree1(A)) )  & v7_ordinal1(B))  => v1_finset_1(k2_trees_2(A, B))) ) ).
fof(cc1_bintree2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_trees_1(A) & v1_bintree2(A)) )  =>  ( ~ (v1_xboole_0(A))  &  (v1_trees_1(A) & v1_bintree1(A)) ) ) ) ).
fof(rc1_bintree2, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_trees_1(A) & v1_bintree2(A)) ) ) ).
fof(fc3_bintree2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_trees_1(A) & v1_bintree2(A)) )  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => v2_funct_1(k2_bintree2(A, B))) ) ).
fof(t1_bintree2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(B, k3_finseq_2(A)) => r2_tarski(k5_relat_1(B, k2_finseq_1(C)), k3_finseq_2(A))) ) ) ) ) ) ).
fof(t2_bintree2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_trees_1(A) & v1_bintree1(A)) )  =>  (! [B] :  (m1_trees_1(B, A) => m2_finseq_1(B, k5_margrel1)) ) ) ) ).
fof(t3_bintree2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_trees_1(A))  =>  (A=k3_finseq_2(k7_domain_1(k4_ordinal1, k5_numbers, 1)) => v1_bintree1(A)) ) ) ).
fof(t4_bintree2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_trees_1(A))  =>  (A=k3_finseq_2(k7_domain_1(k4_ordinal1, k5_numbers, 1)) => k3_trees_1(A)=k1_xboole_0) ) ) ).
fof(t5_bintree2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_trees_1(A) & v1_bintree1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_bintree2(C, A) =>  (r2_tarski(C, k2_trees_2(A, B)) => m2_finseq_2(C, k5_margrel1, k4_finseq_2(B, k5_margrel1))) ) ) ) ) ) ) ).
fof(t6_bintree2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_trees_1(A))  =>  ( (! [B] :  (m1_trees_1(B, A) => k1_trees_2(A, B)=k7_domain_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)), k8_finseq_1(k4_ordinal1, B, k10_binarith(k4_ordinal1, k5_numbers)), k8_finseq_1(k4_ordinal1, B, k10_binarith(k4_ordinal1, 1)))) )  => k3_trees_1(A)=k1_xboole_0) ) ) ).
fof(t7_bintree2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_trees_1(A))  =>  ( (! [B] :  (m1_trees_1(B, A) => k1_trees_2(A, B)=k7_domain_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)), k8_finseq_1(k4_ordinal1, B, k10_binarith(k4_ordinal1, k5_numbers)), k8_finseq_1(k4_ordinal1, B, k10_binarith(k4_ordinal1, 1)))) )  => v1_bintree1(A)) ) ) ).
fof(t8_bintree2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_trees_1(A))  =>  (A=k3_finseq_2(k7_domain_1(k4_ordinal1, k5_numbers, 1)) <=>  (! [B] :  (m1_trees_1(B, A) => k1_trees_2(A, B)=k7_domain_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)), k8_finseq_1(k4_ordinal1, B, k10_binarith(k4_ordinal1, k5_numbers)), k8_finseq_1(k4_ordinal1, B, k10_binarith(k4_ordinal1, 1)))) ) ) ) ) ).
fof(d1_bintree2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_trees_1(A) & v1_bintree1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_trees_2(A, B), k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_trees_2(A, B), k4_ordinal1)))) )  =>  (C=k1_bintree2(A, B) <=>  (! [D] :  (m1_bintree2(D, A) =>  (r2_tarski(D, k2_trees_2(A, B)) =>  (! [E] :  (m2_finseq_2(E, k5_margrel1, k4_finseq_2(B, k5_margrel1)) =>  (E=k4_finseq_5(k5_margrel1, D) => k1_funct_1(C, D)=k1_nat_1(k6_binarith(B, E), 1)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_bintree2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_trees_1(A))  =>  (v1_bintree2(A) <=> A=k3_finseq_2(k7_domain_1(k4_ordinal1, k5_numbers, 1))) ) ) ).
fof(t9_bintree2, axiom,  ( ~ (v1_xboole_0(k3_finseq_2(k7_domain_1(k4_ordinal1, k5_numbers, 1))))  & v1_trees_1(k3_finseq_2(k7_domain_1(k4_ordinal1, k5_numbers, 1)))) ).
fof(t10_bintree2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_trees_1(A))  =>  (A=k3_finseq_2(k7_domain_1(k4_ordinal1, k5_numbers, 1)) =>  (! [B] :  (v7_ordinal1(B) => r2_tarski(k5_euclid(B), k2_trees_2(A, B))) ) ) ) ) ).
fof(t11_bintree2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_trees_1(A))  =>  (A=k3_finseq_2(k7_domain_1(k4_ordinal1, k5_numbers, 1)) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (m2_finseq_2(C, k5_margrel1, k4_finseq_2(B, k5_margrel1)) => r2_tarski(C, k2_trees_2(A, B))) ) ) ) ) ) ) ).
fof(t12_bintree2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_trees_1(A) & v1_bintree2(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  => r1_tarski(k2_finseq_1(k5_series_1(2, B)), k10_xtuple_0(k1_bintree2(A, B)))) ) ) ) ).
fof(d3_bintree2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_trees_1(A) & v1_bintree2(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  => k2_bintree2(A, B)=k2_funct_1(k1_bintree2(A, B))) ) ) ) ).
fof(t13_bintree2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_trees_1(A) & v1_bintree2(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  => k1_funct_1(k1_bintree2(A, B), k5_euclid(B))=1) ) ) ) ).
fof(t14_bintree2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_trees_1(A) & v1_bintree2(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (m2_finseq_2(C, k5_margrel1, k4_finseq_2(B, k5_margrel1)) =>  (C=k5_euclid(B) => k1_funct_1(k1_bintree2(A, B), k3_binarith(B, C))=k5_series_1(2, B)) ) ) ) ) ) ) ).
fof(t15_bintree2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_trees_1(A) & v1_bintree2(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  => k1_funct_1(k2_bintree2(A, B), 1)=k5_euclid(B)) ) ) ) ).
fof(t16_bintree2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_trees_1(A) & v1_bintree2(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (m2_finseq_2(C, k5_margrel1, k4_finseq_2(B, k5_margrel1)) =>  (C=k5_euclid(B) => k1_funct_1(k2_bintree2(A, B), k5_series_1(2, B))=k3_binarith(B, C)) ) ) ) ) ) ) ).
fof(t17_bintree2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_trees_1(A) & v1_bintree2(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k2_finseq_1(k5_series_1(2, B))) => k1_funct_1(k2_bintree2(A, B), C)=k4_finseq_5(k5_margrel1, k1_binari_3(B, k7_nat_d(C, 1)))) ) ) ) ) ) ) ).
fof(t18_bintree2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_trees_1(A) & v1_bintree2(A)) )  =>  (! [B] :  (v7_ordinal1(B) => k4_card_1(k2_trees_2(A, B))=k5_series_1(2, B)) ) ) ) ).
fof(t19_bintree2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_trees_1(A) & v1_bintree2(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  => k3_finseq_1(k2_bintree2(A, B))=k5_series_1(2, B)) ) ) ) ).
fof(t20_bintree2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_trees_1(A) & v1_bintree2(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  => k4_finseq_1(k2_bintree2(A, B))=k2_finseq_1(k5_series_1(2, B))) ) ) ) ).
fof(t21_bintree2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_trees_1(A) & v1_bintree2(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  => k10_xtuple_0(k2_bintree2(A, B))=k2_trees_2(A, B)) ) ) ) ).
fof(t22_bintree2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_trees_1(A) & v1_bintree2(A)) )  => k1_funct_1(k2_bintree2(A, 1), 1)=k10_binarith(k4_ordinal1, k5_numbers)) ) ).
fof(t23_bintree2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_trees_1(A) & v1_bintree2(A)) )  => k1_funct_1(k2_bintree2(A, 1), 2)=k10_binarith(k4_ordinal1, 1)) ) ).
fof(t24_bintree2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_trees_1(A) & v1_bintree2(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (r1_xxreal_0(C, k5_series_1(2, k1_nat_1(B, 1))) =>  (! [D] :  (m2_finseq_2(D, k5_margrel1, k4_finseq_2(B, k5_margrel1)) =>  (D=k1_funct_1(k2_bintree2(A, B), k3_nat_d(k1_nat_1(C, 1), 2)) => k1_funct_1(k2_bintree2(A, k1_nat_1(B, 1)), C)=k7_finseq_1(D, k10_binarith(k4_ordinal1, k4_nat_d(k1_nat_1(C, 1), 2)))) ) ) ) ) ) ) ) ) ) ).
fof(s1_bintree2, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s1_bintree2) =>  (? [B] :  (m1_subset_1(B, f1_s1_bintree2) &  (? [C] :  (m1_subset_1(C, f1_s1_bintree2) & p1_s1_bintree2(A, B, C)) ) ) ) ) )  =>  (? [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, f1_s1_bintree2) &  (v1_funct_1(A) &  (v3_trees_2(A) & v2_bintree1(A)) ) ) )  &  (k9_xtuple_0(A)=k3_finseq_2(k7_domain_1(k4_ordinal1, k5_numbers, 1)) &  (k1_funct_1(A, k1_xboole_0)=f2_s1_bintree2 &  (! [B] :  (m1_trees_1(B, k9_xtuple_0(A)) => p1_s1_bintree2(k3_trees_2(f1_s1_bintree2, A, B), k1_funct_1(A, k8_finseq_1(k4_ordinal1, B, k10_binarith(k4_ordinal1, k5_numbers))), k1_funct_1(A, k8_finseq_1(k4_ordinal1, B, k10_binarith(k4_ordinal1, 1))))) ) ) ) ) ) ) ).
fof(s2_bintree2, axiom,  ( ( (! [A] :  (m1_subset_1(A, f1_s2_bintree2) =>  (? [B] :  (m1_subset_1(B, f1_s2_bintree2) & p1_s2_bintree2(A, B)) ) ) )  &  (! [A] :  (m1_subset_1(A, f1_s2_bintree2) =>  (? [B] :  (m1_subset_1(B, f1_s2_bintree2) & p2_s2_bintree2(A, B)) ) ) ) )  =>  (? [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, f1_s2_bintree2) &  (v1_funct_1(A) &  (v3_trees_2(A) & v2_bintree1(A)) ) ) )  &  (k9_xtuple_0(A)=k3_finseq_2(k7_domain_1(k4_ordinal1, k5_numbers, 1)) &  (k1_funct_1(A, k1_xboole_0)=f2_s2_bintree2 &  (! [B] :  (m1_trees_1(B, k9_xtuple_0(A)) =>  (p1_s2_bintree2(k3_trees_2(f1_s2_bintree2, A, B), k1_funct_1(A, k8_finseq_1(k4_ordinal1, B, k10_binarith(k4_ordinal1, k5_numbers)))) & p2_s2_bintree2(k3_trees_2(f1_s2_bintree2, A, B), k1_funct_1(A, k8_finseq_1(k4_ordinal1, B, k10_binarith(k4_ordinal1, 1))))) ) ) ) ) ) ) ) ).
fof(dt_m1_bintree2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_trees_1(A) & v1_bintree1(A)) )  =>  (! [B] :  (m1_bintree2(B, A) => m2_finseq_1(B, k5_margrel1)) ) ) ) ).
fof(existence_m1_bintree2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_trees_1(A) & v1_bintree1(A)) )  =>  (? [B] : m1_bintree2(B, A)) ) ) ).
fof(redefinition_m1_bintree2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_trees_1(A) & v1_bintree1(A)) )  =>  (! [B] :  (m1_bintree2(B, A) <=> m1_subset_1(B, A)) ) ) ) ).
fof(dt_f1_s1_bintree2, axiom,  ~ (v1_xboole_0(f1_s1_bintree2)) ).
fof(dt_f2_s1_bintree2, axiom, m1_subset_1(f2_s1_bintree2, f1_s1_bintree2)).
fof(dt_f1_s2_bintree2, axiom,  ~ (v1_xboole_0(f1_s2_bintree2)) ).
fof(dt_f2_s2_bintree2, axiom, m1_subset_1(f2_s2_bintree2, f1_s2_bintree2)).
fof(dt_k1_bintree2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_trees_1(A) & v1_bintree1(A)) )  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  (v1_funct_1(k1_bintree2(A, B)) &  (v1_funct_2(k1_bintree2(A, B), k2_trees_2(A, B), k4_ordinal1) & m1_subset_1(k1_bintree2(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_trees_2(A, B), k4_ordinal1)))) ) ) ) ).
fof(dt_k2_bintree2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_trees_1(A) & v1_bintree2(A)) )  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => m2_finseq_1(k2_bintree2(A, B), k2_trees_2(A, B))) ) ).
fof(d1_birkhoff, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), B, u3_msualg_1(A, C)) =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, k11_msafree(A, B)), u3_msualg_1(A, C)) =>  (E=k1_birkhoff(A, B, C, D) <=>  (r1_msualg_3(A, k11_msafree(A, B), C, E) & r8_pboole(u1_struct_0(A), k1_msafree(u1_struct_0(A), u3_msualg_1(A, k11_msafree(A, B)), u3_msualg_1(A, C), k13_msafree(A, B), E), k3_msualg_3(u1_struct_0(A), k13_msafree(A, B), B, u3_msualg_1(A, C), k15_msafree(A, B), D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_birkhoff, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), C, u3_msualg_1(A, B)) => r2_pboole(u1_struct_0(A), k2_funct_6(D), k2_funct_6(k1_birkhoff(A, C, B, D)))) ) ) ) ) ) ) ) ).
fof(s1_birkhoff, axiom,  ( ( (! [A] :  ( (v4_msualg_1(A, f1_s1_birkhoff) & l3_msualg_1(A, f1_s1_birkhoff))  =>  (! [B] :  ( (v4_msualg_1(B, f1_s1_birkhoff) & l3_msualg_1(B, f1_s1_birkhoff))  =>  ( (r6_msualg_3(f1_s1_birkhoff, A, B) & p1_s1_birkhoff(A))  => p1_s1_birkhoff(B)) ) ) ) )  &  ( (! [A] :  ( (v4_msualg_1(A, f1_s1_birkhoff) & l3_msualg_1(A, f1_s1_birkhoff))  =>  (! [B] :  ( (v3_msualg_1(B, f1_s1_birkhoff) &  (v4_msualg_1(B, f1_s1_birkhoff) & m1_msualg_2(B, f1_s1_birkhoff, A)) )  =>  (p1_s1_birkhoff(A) => p1_s1_birkhoff(B)) ) ) ) )  &  (! [A] :  (! [B] :  (m1_pralg_2(B, A, f1_s1_birkhoff) =>  ( (! [C] :  ~ ( (r2_tarski(C, A) &  (! [D] :  (l3_msualg_1(D, f1_s1_birkhoff) =>  ~ ( (D=k1_funct_1(B, C) & p1_s1_birkhoff(D)) ) ) ) ) ) )  => p1_s1_birkhoff(k14_pralg_2(A, f1_s1_birkhoff, B))) ) ) ) ) )  =>  (? [A] :  ( (v3_msualg_1(A, f1_s1_birkhoff) &  (v4_msualg_1(A, f1_s1_birkhoff) & l3_msualg_1(A, f1_s1_birkhoff)) )  &  (? [B] :  (m2_pboole(B, u1_struct_0(f1_s1_birkhoff), u3_msualg_1(f1_s1_birkhoff, f2_s1_birkhoff), u3_msualg_1(f1_s1_birkhoff, A)) &  (p1_s1_birkhoff(A) &  (r2_msualg_3(f1_s1_birkhoff, f2_s1_birkhoff, A, B) &  (! [C] :  ( (v4_msualg_1(C, f1_s1_birkhoff) & l3_msualg_1(C, f1_s1_birkhoff))  =>  (! [D] :  (m2_pboole(D, u1_struct_0(f1_s1_birkhoff), u3_msualg_1(f1_s1_birkhoff, f2_s1_birkhoff), u3_msualg_1(f1_s1_birkhoff, C)) =>  ~ ( (r1_msualg_3(f1_s1_birkhoff, f2_s1_birkhoff, C, D) &  (p1_s1_birkhoff(C) &  (! [E] :  (m2_pboole(E, u1_struct_0(f1_s1_birkhoff), u3_msualg_1(f1_s1_birkhoff, A), u3_msualg_1(f1_s1_birkhoff, C)) =>  ~ ( (r1_msualg_3(f1_s1_birkhoff, A, C, E) &  (r8_pboole(u1_struct_0(f1_s1_birkhoff), k3_msualg_3(u1_struct_0(f1_s1_birkhoff), u3_msualg_1(f1_s1_birkhoff, f2_s1_birkhoff), u3_msualg_1(f1_s1_birkhoff, A), u3_msualg_1(f1_s1_birkhoff, C), B, E), D) &  (! [F] :  (m2_pboole(F, u1_struct_0(f1_s1_birkhoff), u3_msualg_1(f1_s1_birkhoff, A), u3_msualg_1(f1_s1_birkhoff, C)) =>  (r8_pboole(u1_struct_0(f1_s1_birkhoff), k3_msualg_3(u1_struct_0(f1_s1_birkhoff), u3_msualg_1(f1_s1_birkhoff, f2_s1_birkhoff), u3_msualg_1(f1_s1_birkhoff, A), u3_msualg_1(f1_s1_birkhoff, C), B, F), D) => r8_pboole(u1_struct_0(f1_s1_birkhoff), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s2_birkhoff, axiom,  ( ( (! [A] :  ( (v4_msualg_1(A, f1_s2_birkhoff) & l3_msualg_1(A, f1_s2_birkhoff))  =>  (! [B] :  ( (v4_msualg_1(B, f1_s2_birkhoff) & l3_msualg_1(B, f1_s2_birkhoff))  =>  ( (r6_msualg_3(f1_s2_birkhoff, A, B) & p1_s2_birkhoff(A))  => p1_s2_birkhoff(B)) ) ) ) )  &  ( (! [A] :  ( (v4_msualg_1(A, f1_s2_birkhoff) & l3_msualg_1(A, f1_s2_birkhoff))  =>  (! [B] :  ( (v3_msualg_1(B, f1_s2_birkhoff) &  (v4_msualg_1(B, f1_s2_birkhoff) & m1_msualg_2(B, f1_s2_birkhoff, A)) )  =>  (p1_s2_birkhoff(A) => p1_s2_birkhoff(B)) ) ) ) )  &  (! [A] :  (! [B] :  (m1_pralg_2(B, A, f1_s2_birkhoff) =>  ( (! [C] :  ~ ( (r2_tarski(C, A) &  (! [D] :  (l3_msualg_1(D, f1_s2_birkhoff) =>  ~ ( (D=k1_funct_1(B, C) & p1_s2_birkhoff(D)) ) ) ) ) ) )  => p1_s2_birkhoff(k14_pralg_2(A, f1_s2_birkhoff, B))) ) ) ) ) )  =>  (? [A] :  ( (v3_msualg_1(A, f1_s2_birkhoff) &  (v4_msualg_1(A, f1_s2_birkhoff) & l3_msualg_1(A, f1_s2_birkhoff)) )  &  (? [B] :  (m2_pboole(B, u1_struct_0(f1_s2_birkhoff), f2_s2_birkhoff, u3_msualg_1(f1_s2_birkhoff, A)) &  (p1_s2_birkhoff(A) &  (! [C] :  ( (v4_msualg_1(C, f1_s2_birkhoff) & l3_msualg_1(C, f1_s2_birkhoff))  =>  (! [D] :  (m2_pboole(D, u1_struct_0(f1_s2_birkhoff), f2_s2_birkhoff, u3_msualg_1(f1_s2_birkhoff, C)) =>  ~ ( (p1_s2_birkhoff(C) &  (! [E] :  (m2_pboole(E, u1_struct_0(f1_s2_birkhoff), u3_msualg_1(f1_s2_birkhoff, A), u3_msualg_1(f1_s2_birkhoff, C)) =>  ~ ( (r1_msualg_3(f1_s2_birkhoff, A, C, E) &  (r8_pboole(u1_struct_0(f1_s2_birkhoff), k3_msualg_3(u1_struct_0(f1_s2_birkhoff), f2_s2_birkhoff, u3_msualg_1(f1_s2_birkhoff, A), u3_msualg_1(f1_s2_birkhoff, C), B, E), D) &  (! [F] :  (m2_pboole(F, u1_struct_0(f1_s2_birkhoff), u3_msualg_1(f1_s2_birkhoff, A), u3_msualg_1(f1_s2_birkhoff, C)) =>  ( (r1_msualg_3(f1_s2_birkhoff, A, C, F) & r8_pboole(u1_struct_0(f1_s2_birkhoff), k3_msualg_3(u1_struct_0(f1_s2_birkhoff), f2_s2_birkhoff, u3_msualg_1(f1_s2_birkhoff, A), u3_msualg_1(f1_s2_birkhoff, C), B, F), D))  => r8_pboole(u1_struct_0(f1_s2_birkhoff), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s3_birkhoff, axiom,  ( (p1_s3_birkhoff(f3_s3_birkhoff) &  (! [A] :  ( (v4_msualg_1(A, f1_s3_birkhoff) & l3_msualg_1(A, f1_s3_birkhoff))  =>  (! [B] :  (m2_pboole(B, u1_struct_0(f1_s3_birkhoff), k7_funcop_1(u1_struct_0(f1_s3_birkhoff), k4_ordinal1), u3_msualg_1(f1_s3_birkhoff, A)) =>  ~ ( (p1_s3_birkhoff(A) &  (! [C] :  (m2_pboole(C, u1_struct_0(f1_s3_birkhoff), u3_msualg_1(f1_s3_birkhoff, f2_s3_birkhoff), u3_msualg_1(f1_s3_birkhoff, A)) =>  ~ ( (r1_msualg_3(f1_s3_birkhoff, f2_s3_birkhoff, A, C) & r8_pboole(u1_struct_0(f1_s3_birkhoff), B, k3_msualg_3(u1_struct_0(f1_s3_birkhoff), k7_funcop_1(u1_struct_0(f1_s3_birkhoff), k4_ordinal1), u3_msualg_1(f1_s3_birkhoff, f2_s3_birkhoff), u3_msualg_1(f1_s3_birkhoff, A), f4_s3_birkhoff, C))) ) ) ) ) ) ) ) ) ) )  =>  (? [A] :  (m2_pboole(A, u1_struct_0(f1_s3_birkhoff), u3_msualg_1(f1_s3_birkhoff, f2_s3_birkhoff), u3_msualg_1(f1_s3_birkhoff, f3_s3_birkhoff)) &  (r1_msualg_3(f1_s3_birkhoff, f2_s3_birkhoff, f3_s3_birkhoff, A) & r8_pboole(u1_struct_0(f1_s3_birkhoff), k1_birkhoff(f1_s3_birkhoff, k7_funcop_1(u1_struct_0(f1_s3_birkhoff), k4_ordinal1), f3_s3_birkhoff, f5_s3_birkhoff), k3_msualg_3(u1_struct_0(f1_s3_birkhoff), u3_msualg_1(f1_s3_birkhoff, k11_msafree(f1_s3_birkhoff, k7_funcop_1(u1_struct_0(f1_s3_birkhoff), k4_ordinal1))), u3_msualg_1(f1_s3_birkhoff, f2_s3_birkhoff), u3_msualg_1(f1_s3_birkhoff, f3_s3_birkhoff), k1_birkhoff(f1_s3_birkhoff, k7_funcop_1(u1_struct_0(f1_s3_birkhoff), k4_ordinal1), f2_s3_birkhoff, f4_s3_birkhoff), A))) ) ) ) ).
fof(s4_birkhoff, axiom,  ( (k1_funct_1(k1_msualg_3(u1_struct_0(f1_s4_birkhoff), u3_msualg_1(f1_s4_birkhoff, k11_msafree(f1_s4_birkhoff, k7_funcop_1(u1_struct_0(f1_s4_birkhoff), k4_ordinal1))), u3_msualg_1(f1_s4_birkhoff, f2_s4_birkhoff), k1_birkhoff(f1_s4_birkhoff, k7_funcop_1(u1_struct_0(f1_s4_birkhoff), k4_ordinal1), f2_s4_birkhoff, f3_s4_birkhoff), f4_s4_birkhoff), f5_s4_birkhoff)=k1_funct_1(k1_msualg_3(u1_struct_0(f1_s4_birkhoff), u3_msualg_1(f1_s4_birkhoff, k11_msafree(f1_s4_birkhoff, k7_funcop_1(u1_struct_0(f1_s4_birkhoff), k4_ordinal1))), u3_msualg_1(f1_s4_birkhoff, f2_s4_birkhoff), k1_birkhoff(f1_s4_birkhoff, k7_funcop_1(u1_struct_0(f1_s4_birkhoff), k4_ordinal1), f2_s4_birkhoff, f3_s4_birkhoff), f4_s4_birkhoff), f6_s4_birkhoff) &  (! [A] :  ( (v4_msualg_1(A, f1_s4_birkhoff) & l3_msualg_1(A, f1_s4_birkhoff))  =>  (! [B] :  (m2_pboole(B, u1_struct_0(f1_s4_birkhoff), k7_funcop_1(u1_struct_0(f1_s4_birkhoff), k4_ordinal1), u3_msualg_1(f1_s4_birkhoff, A)) =>  ~ ( (p1_s4_birkhoff(A) &  (! [C] :  (m2_pboole(C, u1_struct_0(f1_s4_birkhoff), u3_msualg_1(f1_s4_birkhoff, f2_s4_birkhoff), u3_msualg_1(f1_s4_birkhoff, A)) =>  ~ ( (r1_msualg_3(f1_s4_birkhoff, f2_s4_birkhoff, A, C) & r8_pboole(u1_struct_0(f1_s4_birkhoff), B, k3_msualg_3(u1_struct_0(f1_s4_birkhoff), k7_funcop_1(u1_struct_0(f1_s4_birkhoff), k4_ordinal1), u3_msualg_1(f1_s4_birkhoff, f2_s4_birkhoff), u3_msualg_1(f1_s4_birkhoff, A), f3_s4_birkhoff, C))) ) ) ) ) ) ) ) ) ) )  =>  (! [A] :  ( (v4_msualg_1(A, f1_s4_birkhoff) & l3_msualg_1(A, f1_s4_birkhoff))  =>  (p1_s4_birkhoff(A) => r1_equation(f1_s4_birkhoff, A, f4_s4_birkhoff, k5_equation(f1_s4_birkhoff, f4_s4_birkhoff, f5_s4_birkhoff, f6_s4_birkhoff))) ) ) ) ).
fof(s5_birkhoff, axiom,  ( ( (! [A] :  ( (v4_msualg_1(A, f1_s5_birkhoff) & l3_msualg_1(A, f1_s5_birkhoff))  =>  (! [B] :  (m2_pboole(B, u1_struct_0(f1_s5_birkhoff), f2_s5_birkhoff, u3_msualg_1(f1_s5_birkhoff, A)) =>  ~ ( (p1_s5_birkhoff(A) &  (! [C] :  (m2_pboole(C, u1_struct_0(f1_s5_birkhoff), u3_msualg_1(f1_s5_birkhoff, f3_s5_birkhoff), u3_msualg_1(f1_s5_birkhoff, A)) =>  ~ ( (r1_msualg_3(f1_s5_birkhoff, f3_s5_birkhoff, A, C) &  (r8_pboole(u1_struct_0(f1_s5_birkhoff), k3_msualg_3(u1_struct_0(f1_s5_birkhoff), f2_s5_birkhoff, u3_msualg_1(f1_s5_birkhoff, f3_s5_birkhoff), u3_msualg_1(f1_s5_birkhoff, A), f4_s5_birkhoff, C), B) &  (! [D] :  (m2_pboole(D, u1_struct_0(f1_s5_birkhoff), u3_msualg_1(f1_s5_birkhoff, f3_s5_birkhoff), u3_msualg_1(f1_s5_birkhoff, A)) =>  ( (r1_msualg_3(f1_s5_birkhoff, f3_s5_birkhoff, A, D) & r8_pboole(u1_struct_0(f1_s5_birkhoff), k3_msualg_3(u1_struct_0(f1_s5_birkhoff), f2_s5_birkhoff, u3_msualg_1(f1_s5_birkhoff, f3_s5_birkhoff), u3_msualg_1(f1_s5_birkhoff, A), f4_s5_birkhoff, D), B))  => r8_pboole(u1_struct_0(f1_s5_birkhoff), C, D)) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (p1_s5_birkhoff(f3_s5_birkhoff) &  (! [A] :  ( (v4_msualg_1(A, f1_s5_birkhoff) & l3_msualg_1(A, f1_s5_birkhoff))  =>  (! [B] :  ( (v3_msualg_1(B, f1_s5_birkhoff) &  (v4_msualg_1(B, f1_s5_birkhoff) & m1_msualg_2(B, f1_s5_birkhoff, A)) )  =>  (p1_s5_birkhoff(A) => p1_s5_birkhoff(B)) ) ) ) ) ) )  =>  (v2_relat_1(k9_pboole(u1_struct_0(f1_s5_birkhoff), f2_s5_birkhoff, f4_s5_birkhoff)) & m1_msafree(k9_pboole(u1_struct_0(f1_s5_birkhoff), f2_s5_birkhoff, f4_s5_birkhoff), f1_s5_birkhoff, f3_s5_birkhoff)) ) ).
fof(s6_birkhoff, axiom,  ( ( (! [A] :  ( (v4_msualg_1(A, f1_s6_birkhoff) & l3_msualg_1(A, f1_s6_birkhoff))  =>  (! [B] :  (m2_pboole(B, u1_struct_0(f1_s6_birkhoff), k7_funcop_1(u1_struct_0(f1_s6_birkhoff), k4_ordinal1), u3_msualg_1(f1_s6_birkhoff, A)) =>  ~ ( (p1_s6_birkhoff(A) &  (! [C] :  (m2_pboole(C, u1_struct_0(f1_s6_birkhoff), u3_msualg_1(f1_s6_birkhoff, f2_s6_birkhoff), u3_msualg_1(f1_s6_birkhoff, A)) =>  ~ ( (r1_msualg_3(f1_s6_birkhoff, f2_s6_birkhoff, A, C) &  (r8_pboole(u1_struct_0(f1_s6_birkhoff), k3_msualg_3(u1_struct_0(f1_s6_birkhoff), k7_funcop_1(u1_struct_0(f1_s6_birkhoff), k4_ordinal1), u3_msualg_1(f1_s6_birkhoff, f2_s6_birkhoff), u3_msualg_1(f1_s6_birkhoff, A), f3_s6_birkhoff, C), B) &  (! [D] :  (m2_pboole(D, u1_struct_0(f1_s6_birkhoff), u3_msualg_1(f1_s6_birkhoff, f2_s6_birkhoff), u3_msualg_1(f1_s6_birkhoff, A)) =>  ( (r1_msualg_3(f1_s6_birkhoff, f2_s6_birkhoff, A, D) & r8_pboole(u1_struct_0(f1_s6_birkhoff), k3_msualg_3(u1_struct_0(f1_s6_birkhoff), k7_funcop_1(u1_struct_0(f1_s6_birkhoff), k4_ordinal1), u3_msualg_1(f1_s6_birkhoff, f2_s6_birkhoff), u3_msualg_1(f1_s6_birkhoff, A), f3_s6_birkhoff, D), B))  => r8_pboole(u1_struct_0(f1_s6_birkhoff), C, D)) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (p1_s6_birkhoff(f2_s6_birkhoff) &  (! [A] :  ( (v4_msualg_1(A, f1_s6_birkhoff) & l3_msualg_1(A, f1_s6_birkhoff))  =>  (! [B] :  ( (v3_msualg_1(B, f1_s6_birkhoff) &  (v4_msualg_1(B, f1_s6_birkhoff) & m1_msualg_2(B, f1_s6_birkhoff, A)) )  =>  (p1_s6_birkhoff(A) => p1_s6_birkhoff(B)) ) ) ) ) ) )  => r2_msualg_3(f1_s6_birkhoff, k11_msafree(f1_s6_birkhoff, k7_funcop_1(u1_struct_0(f1_s6_birkhoff), k4_ordinal1)), f2_s6_birkhoff, k1_birkhoff(f1_s6_birkhoff, k7_funcop_1(u1_struct_0(f1_s6_birkhoff), k4_ordinal1), f2_s6_birkhoff, f3_s6_birkhoff))) ).
fof(s7_birkhoff, axiom,  ( (p2_s7_birkhoff(f2_s7_birkhoff) &  (p1_s7_birkhoff(f3_s7_birkhoff) &  ( (! [A] :  ( (v4_msualg_1(A, f1_s7_birkhoff) & l3_msualg_1(A, f1_s7_birkhoff))  =>  (! [B] :  (m2_pboole(B, u1_struct_0(f1_s7_birkhoff), k7_funcop_1(u1_struct_0(f1_s7_birkhoff), k4_ordinal1), u3_msualg_1(f1_s7_birkhoff, A)) =>  ~ ( (p2_s7_birkhoff(A) &  (! [C] :  (m2_pboole(C, u1_struct_0(f1_s7_birkhoff), u3_msualg_1(f1_s7_birkhoff, f3_s7_birkhoff), u3_msualg_1(f1_s7_birkhoff, A)) =>  ~ ( (r1_msualg_3(f1_s7_birkhoff, f3_s7_birkhoff, A, C) & r8_pboole(u1_struct_0(f1_s7_birkhoff), B, k3_msualg_3(u1_struct_0(f1_s7_birkhoff), k7_funcop_1(u1_struct_0(f1_s7_birkhoff), k4_ordinal1), u3_msualg_1(f1_s7_birkhoff, f3_s7_birkhoff), u3_msualg_1(f1_s7_birkhoff, A), f4_s7_birkhoff, C))) ) ) ) ) ) ) ) ) )  &  ( (! [A] :  ( (v4_msualg_1(A, f1_s7_birkhoff) & l3_msualg_1(A, f1_s7_birkhoff))  =>  (! [B] :  ( (v4_msualg_1(B, f1_s7_birkhoff) & l3_msualg_1(B, f1_s7_birkhoff))  =>  ( (r6_msualg_3(f1_s7_birkhoff, A, B) & p1_s7_birkhoff(A))  => p1_s7_birkhoff(B)) ) ) ) )  &  (! [A] :  ( (v4_msualg_1(A, f1_s7_birkhoff) & l3_msualg_1(A, f1_s7_birkhoff))  =>  (! [B] :  ( (v2_msualg_4(B, f1_s7_birkhoff, A) &  (v3_msualg_4(B, f1_s7_birkhoff, A) & m1_msualg_4(B, u1_struct_0(f1_s7_birkhoff), u3_msualg_1(f1_s7_birkhoff, A), u3_msualg_1(f1_s7_birkhoff, A))) )  =>  (p1_s7_birkhoff(A) => p1_s7_birkhoff(k13_msualg_4(f1_s7_birkhoff, A, B))) ) ) ) ) ) ) ) )  => p1_s7_birkhoff(f2_s7_birkhoff)) ).
fof(s8_birkhoff, axiom,  ( ( (? [A] :  (m2_pboole(A, u1_struct_0(f1_s8_birkhoff), u3_msualg_1(f1_s8_birkhoff, f2_s8_birkhoff), u3_msualg_1(f1_s8_birkhoff, f3_s8_birkhoff)) & r2_msualg_3(f1_s8_birkhoff, f2_s8_birkhoff, f3_s8_birkhoff, A)) )  &  (p1_s8_birkhoff(f2_s8_birkhoff) &  ( (! [A] :  ( (v4_msualg_1(A, f1_s8_birkhoff) & l3_msualg_1(A, f1_s8_birkhoff))  =>  (! [B] :  ( (v4_msualg_1(B, f1_s8_birkhoff) & l3_msualg_1(B, f1_s8_birkhoff))  =>  ( (r6_msualg_3(f1_s8_birkhoff, A, B) & p1_s8_birkhoff(A))  => p1_s8_birkhoff(B)) ) ) ) )  &  (! [A] :  ( (v4_msualg_1(A, f1_s8_birkhoff) & l3_msualg_1(A, f1_s8_birkhoff))  =>  (! [B] :  ( (v2_msualg_4(B, f1_s8_birkhoff, A) &  (v3_msualg_4(B, f1_s8_birkhoff, A) & m1_msualg_4(B, u1_struct_0(f1_s8_birkhoff), u3_msualg_1(f1_s8_birkhoff, A), u3_msualg_1(f1_s8_birkhoff, A))) )  =>  (p1_s8_birkhoff(A) => p1_s8_birkhoff(k13_msualg_4(f1_s8_birkhoff, A, B))) ) ) ) ) ) ) )  => p1_s8_birkhoff(f3_s8_birkhoff)) ).
fof(s9_birkhoff, axiom,  ( ( (! [A] :  ( (v3_msualg_1(A, f1_s9_birkhoff) &  (v4_msualg_1(A, f1_s9_birkhoff) &  (v3_msafree2(A, f1_s9_birkhoff) & m1_msualg_2(A, f1_s9_birkhoff, f2_s9_birkhoff)) ) )  => p1_s9_birkhoff(A)) )  &  ( (! [A] :  ( (v4_msualg_1(A, f1_s9_birkhoff) & l3_msualg_1(A, f1_s9_birkhoff))  =>  (! [B] :  ( (v4_msualg_1(B, f1_s9_birkhoff) & l3_msualg_1(B, f1_s9_birkhoff))  =>  ( (r6_msualg_3(f1_s9_birkhoff, A, B) & p1_s9_birkhoff(A))  => p1_s9_birkhoff(B)) ) ) ) )  &  ( (! [A] :  ( (v4_msualg_1(A, f1_s9_birkhoff) & l3_msualg_1(A, f1_s9_birkhoff))  =>  (! [B] :  ( (v3_msualg_1(B, f1_s9_birkhoff) &  (v4_msualg_1(B, f1_s9_birkhoff) & m1_msualg_2(B, f1_s9_birkhoff, A)) )  =>  (p1_s9_birkhoff(A) => p1_s9_birkhoff(B)) ) ) ) )  &  ( (! [A] :  ( (v4_msualg_1(A, f1_s9_birkhoff) & l3_msualg_1(A, f1_s9_birkhoff))  =>  (! [B] :  ( (v2_msualg_4(B, f1_s9_birkhoff, A) &  (v3_msualg_4(B, f1_s9_birkhoff, A) & m1_msualg_4(B, u1_struct_0(f1_s9_birkhoff), u3_msualg_1(f1_s9_birkhoff, A), u3_msualg_1(f1_s9_birkhoff, A))) )  =>  (p1_s9_birkhoff(A) => p1_s9_birkhoff(k13_msualg_4(f1_s9_birkhoff, A, B))) ) ) ) )  &  (! [A] :  (! [B] :  (m1_pralg_2(B, A, f1_s9_birkhoff) =>  ( (! [C] :  ~ ( (r2_tarski(C, A) &  (! [D] :  (l3_msualg_1(D, f1_s9_birkhoff) =>  ~ ( (D=k1_funct_1(B, C) & p1_s9_birkhoff(D)) ) ) ) ) ) )  => p1_s9_birkhoff(k14_pralg_2(A, f1_s9_birkhoff, B))) ) ) ) ) ) ) )  => p1_s9_birkhoff(f2_s9_birkhoff)) ).
fof(s10_birkhoff, axiom,  ( ( (! [A] :  ( (v4_msualg_1(A, f1_s10_birkhoff) & l3_msualg_1(A, f1_s10_birkhoff))  =>  (p2_s10_birkhoff(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(f1_s10_birkhoff)) =>  (! [C] :  (m1_subset_1(C, k1_funct_1(k4_equation(f1_s10_birkhoff), B)) =>  ( (! [D] :  ( (v4_msualg_1(D, f1_s10_birkhoff) & l3_msualg_1(D, f1_s10_birkhoff))  =>  (p1_s10_birkhoff(D) => r1_equation(f1_s10_birkhoff, D, B, C)) ) )  => r1_equation(f1_s10_birkhoff, A, B, C)) ) ) ) ) ) ) )  & p1_s10_birkhoff(f2_s10_birkhoff))  => p2_s10_birkhoff(f2_s10_birkhoff)) ).
fof(s11_birkhoff, axiom,  ( ( (! [A] :  ( (v4_msualg_1(A, f1_s11_birkhoff) & l3_msualg_1(A, f1_s11_birkhoff))  =>  (p2_s11_birkhoff(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(f1_s11_birkhoff)) =>  (! [C] :  (m1_subset_1(C, k1_funct_1(k4_equation(f1_s11_birkhoff), B)) =>  ( (! [D] :  ( (v4_msualg_1(D, f1_s11_birkhoff) & l3_msualg_1(D, f1_s11_birkhoff))  =>  (p1_s11_birkhoff(D) => r1_equation(f1_s11_birkhoff, D, B, C)) ) )  => r1_equation(f1_s11_birkhoff, A, B, C)) ) ) ) ) ) ) )  &  ( (! [A] :  ( (v4_msualg_1(A, f1_s11_birkhoff) & l3_msualg_1(A, f1_s11_birkhoff))  =>  (! [B] :  (m2_pboole(B, u1_struct_0(f1_s11_birkhoff), k7_funcop_1(u1_struct_0(f1_s11_birkhoff), k4_ordinal1), u3_msualg_1(f1_s11_birkhoff, A)) =>  ~ ( (p2_s11_birkhoff(A) &  (! [C] :  (m2_pboole(C, u1_struct_0(f1_s11_birkhoff), u3_msualg_1(f1_s11_birkhoff, f2_s11_birkhoff), u3_msualg_1(f1_s11_birkhoff, A)) =>  ~ ( (r1_msualg_3(f1_s11_birkhoff, f2_s11_birkhoff, A, C) &  (r8_pboole(u1_struct_0(f1_s11_birkhoff), k3_msualg_3(u1_struct_0(f1_s11_birkhoff), k7_funcop_1(u1_struct_0(f1_s11_birkhoff), k4_ordinal1), u3_msualg_1(f1_s11_birkhoff, f2_s11_birkhoff), u3_msualg_1(f1_s11_birkhoff, A), f3_s11_birkhoff, C), B) &  (! [D] :  (m2_pboole(D, u1_struct_0(f1_s11_birkhoff), u3_msualg_1(f1_s11_birkhoff, f2_s11_birkhoff), u3_msualg_1(f1_s11_birkhoff, A)) =>  ( (r1_msualg_3(f1_s11_birkhoff, f2_s11_birkhoff, A, D) & r8_pboole(u1_struct_0(f1_s11_birkhoff), k3_msualg_3(u1_struct_0(f1_s11_birkhoff), k7_funcop_1(u1_struct_0(f1_s11_birkhoff), k4_ordinal1), u3_msualg_1(f1_s11_birkhoff, f2_s11_birkhoff), u3_msualg_1(f1_s11_birkhoff, A), f3_s11_birkhoff, D), B))  => r8_pboole(u1_struct_0(f1_s11_birkhoff), C, D)) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (p2_s11_birkhoff(f2_s11_birkhoff) &  ( (! [A] :  ( (v4_msualg_1(A, f1_s11_birkhoff) & l3_msualg_1(A, f1_s11_birkhoff))  =>  (! [B] :  ( (v4_msualg_1(B, f1_s11_birkhoff) & l3_msualg_1(B, f1_s11_birkhoff))  =>  ( (r6_msualg_3(f1_s11_birkhoff, A, B) & p1_s11_birkhoff(A))  => p1_s11_birkhoff(B)) ) ) ) )  &  ( (! [A] :  ( (v4_msualg_1(A, f1_s11_birkhoff) & l3_msualg_1(A, f1_s11_birkhoff))  =>  (! [B] :  ( (v3_msualg_1(B, f1_s11_birkhoff) &  (v4_msualg_1(B, f1_s11_birkhoff) & m1_msualg_2(B, f1_s11_birkhoff, A)) )  =>  (p1_s11_birkhoff(A) => p1_s11_birkhoff(B)) ) ) ) )  &  (! [A] :  (! [B] :  (m1_pralg_2(B, A, f1_s11_birkhoff) =>  ( (! [C] :  ~ ( (r2_tarski(C, A) &  (! [D] :  (l3_msualg_1(D, f1_s11_birkhoff) =>  ~ ( (D=k1_funct_1(B, C) & p1_s11_birkhoff(D)) ) ) ) ) ) )  => p1_s11_birkhoff(k14_pralg_2(A, f1_s11_birkhoff, B))) ) ) ) ) ) ) ) )  => p1_s11_birkhoff(f2_s11_birkhoff)) ).
fof(s12_birkhoff, axiom,  ( ( (! [A] :  ( (v4_msualg_1(A, f1_s12_birkhoff) & l3_msualg_1(A, f1_s12_birkhoff))  =>  (! [B] :  ( (v4_msualg_1(B, f1_s12_birkhoff) & l3_msualg_1(B, f1_s12_birkhoff))  =>  ( (r6_msualg_3(f1_s12_birkhoff, A, B) & p1_s12_birkhoff(A))  => p1_s12_birkhoff(B)) ) ) ) )  &  ( (! [A] :  ( (v4_msualg_1(A, f1_s12_birkhoff) & l3_msualg_1(A, f1_s12_birkhoff))  =>  (! [B] :  ( (v3_msualg_1(B, f1_s12_birkhoff) &  (v4_msualg_1(B, f1_s12_birkhoff) & m1_msualg_2(B, f1_s12_birkhoff, A)) )  =>  (p1_s12_birkhoff(A) => p1_s12_birkhoff(B)) ) ) ) )  &  ( (! [A] :  ( (v4_msualg_1(A, f1_s12_birkhoff) & l3_msualg_1(A, f1_s12_birkhoff))  =>  (! [B] :  ( (v2_msualg_4(B, f1_s12_birkhoff, A) &  (v3_msualg_4(B, f1_s12_birkhoff, A) & m1_msualg_4(B, u1_struct_0(f1_s12_birkhoff), u3_msualg_1(f1_s12_birkhoff, A), u3_msualg_1(f1_s12_birkhoff, A))) )  =>  (p1_s12_birkhoff(A) => p1_s12_birkhoff(k13_msualg_4(f1_s12_birkhoff, A, B))) ) ) ) )  &  (! [A] :  (! [B] :  (m1_pralg_2(B, A, f1_s12_birkhoff) =>  ( (! [C] :  ~ ( (r2_tarski(C, A) &  (! [D] :  (l3_msualg_1(D, f1_s12_birkhoff) =>  ~ ( (D=k1_funct_1(B, C) & p1_s12_birkhoff(D)) ) ) ) ) ) )  => p1_s12_birkhoff(k14_pralg_2(A, f1_s12_birkhoff, B))) ) ) ) ) ) )  =>  (? [A] :  (m3_pboole(A, u1_struct_0(f1_s12_birkhoff), k4_equation(f1_s12_birkhoff)) &  (! [B] :  ( (v4_msualg_1(B, f1_s12_birkhoff) & l3_msualg_1(B, f1_s12_birkhoff))  =>  (p1_s12_birkhoff(B) <=> r2_equation(f1_s12_birkhoff, B, A)) ) ) ) ) ) ).
fof(dt_k1_birkhoff, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  & m2_pboole(D, u1_struct_0(A), B, u3_msualg_1(A, C))) ) )  => m2_pboole(k1_birkhoff(A, B, C, D), u1_struct_0(A), u3_msualg_1(A, k11_msafree(A, B)), u3_msualg_1(A, C))) ) ).
fof(dt_f1_s1_birkhoff, axiom,  ( ~ (v2_struct_0(f1_s1_birkhoff))  &  ( ~ (v11_struct_0(f1_s1_birkhoff))  & l1_msualg_1(f1_s1_birkhoff)) ) ).
fof(dt_f2_s1_birkhoff, axiom,  (v4_msualg_1(f2_s1_birkhoff, f1_s1_birkhoff) & l3_msualg_1(f2_s1_birkhoff, f1_s1_birkhoff)) ).
fof(dt_f1_s2_birkhoff, axiom,  ( ~ (v2_struct_0(f1_s2_birkhoff))  &  ( ~ (v11_struct_0(f1_s2_birkhoff))  & l1_msualg_1(f1_s2_birkhoff)) ) ).
fof(dt_f2_s2_birkhoff, axiom,  (v1_relat_1(f2_s2_birkhoff) &  (v2_relat_1(f2_s2_birkhoff) &  (v4_relat_1(f2_s2_birkhoff, u1_struct_0(f1_s2_birkhoff)) &  (v1_funct_1(f2_s2_birkhoff) & v1_partfun1(f2_s2_birkhoff, u1_struct_0(f1_s2_birkhoff))) ) ) ) ).
fof(dt_f1_s3_birkhoff, axiom,  ( ~ (v2_struct_0(f1_s3_birkhoff))  &  ( ~ (v11_struct_0(f1_s3_birkhoff))  & l1_msualg_1(f1_s3_birkhoff)) ) ).
fof(dt_f2_s3_birkhoff, axiom,  (v4_msualg_1(f2_s3_birkhoff, f1_s3_birkhoff) & l3_msualg_1(f2_s3_birkhoff, f1_s3_birkhoff)) ).
fof(dt_f3_s3_birkhoff, axiom,  (v4_msualg_1(f3_s3_birkhoff, f1_s3_birkhoff) & l3_msualg_1(f3_s3_birkhoff, f1_s3_birkhoff)) ).
fof(dt_f4_s3_birkhoff, axiom, m2_pboole(f4_s3_birkhoff, u1_struct_0(f1_s3_birkhoff), k7_funcop_1(u1_struct_0(f1_s3_birkhoff), k4_ordinal1), u3_msualg_1(f1_s3_birkhoff, f2_s3_birkhoff))).
fof(dt_f5_s3_birkhoff, axiom, m2_pboole(f5_s3_birkhoff, u1_struct_0(f1_s3_birkhoff), k7_funcop_1(u1_struct_0(f1_s3_birkhoff), k4_ordinal1), u3_msualg_1(f1_s3_birkhoff, f3_s3_birkhoff))).
fof(dt_f1_s4_birkhoff, axiom,  ( ~ (v2_struct_0(f1_s4_birkhoff))  &  ( ~ (v11_struct_0(f1_s4_birkhoff))  & l1_msualg_1(f1_s4_birkhoff)) ) ).
fof(dt_f2_s4_birkhoff, axiom,  (v4_msualg_1(f2_s4_birkhoff, f1_s4_birkhoff) & l3_msualg_1(f2_s4_birkhoff, f1_s4_birkhoff)) ).
fof(dt_f3_s4_birkhoff, axiom, m2_pboole(f3_s4_birkhoff, u1_struct_0(f1_s4_birkhoff), k7_funcop_1(u1_struct_0(f1_s4_birkhoff), k4_ordinal1), u3_msualg_1(f1_s4_birkhoff, f2_s4_birkhoff))).
fof(dt_f4_s4_birkhoff, axiom, m1_subset_1(f4_s4_birkhoff, u1_struct_0(f1_s4_birkhoff))).
fof(dt_f5_s4_birkhoff, axiom, m1_subset_1(f5_s4_birkhoff, k1_funct_1(u3_msualg_1(f1_s4_birkhoff, k3_equation(f1_s4_birkhoff)), f4_s4_birkhoff))).
fof(dt_f6_s4_birkhoff, axiom, m1_subset_1(f6_s4_birkhoff, k1_funct_1(u3_msualg_1(f1_s4_birkhoff, k3_equation(f1_s4_birkhoff)), f4_s4_birkhoff))).
fof(dt_f1_s5_birkhoff, axiom,  ( ~ (v2_struct_0(f1_s5_birkhoff))  &  ( ~ (v11_struct_0(f1_s5_birkhoff))  & l1_msualg_1(f1_s5_birkhoff)) ) ).
fof(dt_f2_s5_birkhoff, axiom,  (v1_relat_1(f2_s5_birkhoff) &  (v2_relat_1(f2_s5_birkhoff) &  (v4_relat_1(f2_s5_birkhoff, u1_struct_0(f1_s5_birkhoff)) &  (v1_funct_1(f2_s5_birkhoff) & v1_partfun1(f2_s5_birkhoff, u1_struct_0(f1_s5_birkhoff))) ) ) ) ).
fof(dt_f3_s5_birkhoff, axiom,  (v3_msualg_1(f3_s5_birkhoff, f1_s5_birkhoff) &  (v4_msualg_1(f3_s5_birkhoff, f1_s5_birkhoff) & l3_msualg_1(f3_s5_birkhoff, f1_s5_birkhoff)) ) ).
fof(dt_f4_s5_birkhoff, axiom, m2_pboole(f4_s5_birkhoff, u1_struct_0(f1_s5_birkhoff), f2_s5_birkhoff, u3_msualg_1(f1_s5_birkhoff, f3_s5_birkhoff))).
fof(dt_f1_s6_birkhoff, axiom,  ( ~ (v2_struct_0(f1_s6_birkhoff))  &  ( ~ (v11_struct_0(f1_s6_birkhoff))  & l1_msualg_1(f1_s6_birkhoff)) ) ).
fof(dt_f2_s6_birkhoff, axiom,  (v3_msualg_1(f2_s6_birkhoff, f1_s6_birkhoff) &  (v4_msualg_1(f2_s6_birkhoff, f1_s6_birkhoff) & l3_msualg_1(f2_s6_birkhoff, f1_s6_birkhoff)) ) ).
fof(dt_f3_s6_birkhoff, axiom, m2_pboole(f3_s6_birkhoff, u1_struct_0(f1_s6_birkhoff), k7_funcop_1(u1_struct_0(f1_s6_birkhoff), k4_ordinal1), u3_msualg_1(f1_s6_birkhoff, f2_s6_birkhoff))).
fof(dt_f1_s7_birkhoff, axiom,  ( ~ (v2_struct_0(f1_s7_birkhoff))  &  ( ~ (v11_struct_0(f1_s7_birkhoff))  & l1_msualg_1(f1_s7_birkhoff)) ) ).
fof(dt_f2_s7_birkhoff, axiom,  (v3_msualg_1(f2_s7_birkhoff, f1_s7_birkhoff) &  (v4_msualg_1(f2_s7_birkhoff, f1_s7_birkhoff) &  (v3_msafree2(f2_s7_birkhoff, f1_s7_birkhoff) & l3_msualg_1(f2_s7_birkhoff, f1_s7_birkhoff)) ) ) ).
fof(dt_f3_s7_birkhoff, axiom,  (v4_msualg_1(f3_s7_birkhoff, f1_s7_birkhoff) & l3_msualg_1(f3_s7_birkhoff, f1_s7_birkhoff)) ).
fof(dt_f4_s7_birkhoff, axiom, m2_pboole(f4_s7_birkhoff, u1_struct_0(f1_s7_birkhoff), k7_funcop_1(u1_struct_0(f1_s7_birkhoff), k4_ordinal1), u3_msualg_1(f1_s7_birkhoff, f3_s7_birkhoff))).
fof(dt_f1_s8_birkhoff, axiom,  ( ~ (v2_struct_0(f1_s8_birkhoff))  &  ( ~ (v11_struct_0(f1_s8_birkhoff))  & l1_msualg_1(f1_s8_birkhoff)) ) ).
fof(dt_f2_s8_birkhoff, axiom,  (v4_msualg_1(f2_s8_birkhoff, f1_s8_birkhoff) & l3_msualg_1(f2_s8_birkhoff, f1_s8_birkhoff)) ).
fof(dt_f3_s8_birkhoff, axiom,  (v4_msualg_1(f3_s8_birkhoff, f1_s8_birkhoff) & l3_msualg_1(f3_s8_birkhoff, f1_s8_birkhoff)) ).
fof(dt_f1_s9_birkhoff, axiom,  ( ~ (v2_struct_0(f1_s9_birkhoff))  &  ( ~ (v11_struct_0(f1_s9_birkhoff))  & l1_msualg_1(f1_s9_birkhoff)) ) ).
fof(dt_f2_s9_birkhoff, axiom,  (v4_msualg_1(f2_s9_birkhoff, f1_s9_birkhoff) & l3_msualg_1(f2_s9_birkhoff, f1_s9_birkhoff)) ).
fof(dt_f1_s10_birkhoff, axiom,  ( ~ (v2_struct_0(f1_s10_birkhoff))  &  ( ~ (v11_struct_0(f1_s10_birkhoff))  & l1_msualg_1(f1_s10_birkhoff)) ) ).
fof(dt_f2_s10_birkhoff, axiom,  (v4_msualg_1(f2_s10_birkhoff, f1_s10_birkhoff) & l3_msualg_1(f2_s10_birkhoff, f1_s10_birkhoff)) ).
fof(dt_f1_s11_birkhoff, axiom,  ( ~ (v2_struct_0(f1_s11_birkhoff))  &  ( ~ (v11_struct_0(f1_s11_birkhoff))  & l1_msualg_1(f1_s11_birkhoff)) ) ).
fof(dt_f2_s11_birkhoff, axiom,  (v3_msualg_1(f2_s11_birkhoff, f1_s11_birkhoff) &  (v4_msualg_1(f2_s11_birkhoff, f1_s11_birkhoff) & l3_msualg_1(f2_s11_birkhoff, f1_s11_birkhoff)) ) ).
fof(dt_f3_s11_birkhoff, axiom, m2_pboole(f3_s11_birkhoff, u1_struct_0(f1_s11_birkhoff), k7_funcop_1(u1_struct_0(f1_s11_birkhoff), k4_ordinal1), u3_msualg_1(f1_s11_birkhoff, f2_s11_birkhoff))).
fof(dt_f1_s12_birkhoff, axiom,  ( ~ (v2_struct_0(f1_s12_birkhoff))  &  ( ~ (v11_struct_0(f1_s12_birkhoff))  & l1_msualg_1(f1_s12_birkhoff)) ) ).
fof(t1_bkmodel1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  ( (D=k2_anproj_1(k15_euclid(3), A) &  (E=k2_anproj_1(k15_euclid(3), B) & F=k2_anproj_1(k15_euclid(3), C)) )  =>  (v9_struct_0(A, k15_euclid(3)) |  (v9_struct_0(B, k15_euclid(3)) |  (v9_struct_0(C, k15_euclid(3)) |  (r1_collsp(k5_anproj_1(k15_euclid(3)), D, E, F) <=> k6_euclid_5(A, B, C)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_bkmodel1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ ( (A=k5_numbers & B=k5_numbers) )  &  (k3_xcmplx_0(A, D)=k3_xcmplx_0(B, C) &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (C=k3_xcmplx_0(E, A) & D=k3_xcmplx_0(E, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_bkmodel1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( (k2_xcmplx_0(k1_square_1(A), k1_square_1(B))=1 &  (k2_xcmplx_0(k1_square_1(k3_xcmplx_0(C, A)), k1_square_1(k3_xcmplx_0(C, B)))=1 &  ( ~ (C=1)  &  ~ (C=k4_xcmplx_0(1)) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_bkmodel1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) => k1_algstr_0(k15_euclid(3), k1_rlvect_1(k15_euclid(3), B, A), k1_rlvect_1(k15_euclid(3), B, k4_xcmplx_0(A)))=k4_struct_0(k15_euclid(3))) ) ) ) ).
fof(t5_bkmodel1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_xxreal_0(k5_numbers, A) & k1_quin_1(A, B, C)=k5_numbers)  =>  (r1_xxreal_0(k5_numbers, C) | A=k5_numbers) ) ) ) ) ) ) ) ).
fof(t6_bkmodel1, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(2)) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(2)) => k18_rvsum_1(k11_euclid(2, k8_euclid(2, B, A)))=k18_rvsum_1(k11_euclid(2, k8_euclid(2, A, B)))) ) ) ) ).
fof(t7_bkmodel1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (k2_xcmplx_0(k1_square_1(A), k1_square_1(B))=1 &  (k2_xcmplx_0(k1_square_1(C), k1_square_1(D))=1 & k2_xcmplx_0(k3_xcmplx_0(C, A), k3_xcmplx_0(D, B))=1) )  => k3_xcmplx_0(B, C)=k3_xcmplx_0(A, D)) ) ) ) ) ) ) ) ) ).
fof(t8_bkmodel1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (k2_xcmplx_0(k1_square_1(A), k1_square_1(B))=1 &  (A=k5_numbers &  ( ~ (B=1)  &  ~ (B=k4_xcmplx_0(1)) ) ) ) ) ) ) ) ) ).
fof(t9_bkmodel1, axiom,  (! [A] :  (v1_xreal_0(A) => r1_xxreal_0(k5_numbers, k1_square_1(A))) ) ).
fof(t10_bkmodel1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (k2_xcmplx_0(k1_square_1(k3_xcmplx_0(A, B)), k1_square_1(B))=1 &  ( ~ (B=k7_xcmplx_0(1, k3_square_1(k2_xcmplx_0(1, k1_square_1(A)))))  &  ~ (B=k7_xcmplx_0(k4_xcmplx_0(1), k3_square_1(k2_xcmplx_0(1, k1_square_1(A))))) ) ) ) ) ) ) ) ).
fof(t11_bkmodel1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (k1_square_1(B)=k2_xcmplx_0(1, k3_xcmplx_0(A, A)) =>  (A=k5_numbers | k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(A, k7_xcmplx_0(1, B)), A), k7_xcmplx_0(k4_xcmplx_0(1), B)), k3_xcmplx_0(k7_xcmplx_0(1, B), k7_xcmplx_0(k4_xcmplx_0(1), B)))=k4_xcmplx_0(1)) ) ) ) ) ) ).
fof(t12_bkmodel1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k3_xcmplx_0(k1_square_1(A), k7_xcmplx_0(1, k1_square_1(B)))=k1_square_1(k7_xcmplx_0(A, B))) ) ) ) ).
fof(t13_bkmodel1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (k2_xcmplx_0(k1_square_1(A), k1_square_1(B))=1 <=> r2_tarski(k19_euclid(A, B), k5_jgraph_6(k5_numbers, k5_numbers, 1))) ) ) ) ) ).
fof(t14_bkmodel1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_xreal_0(C) & v2_xxreal_0(C))  =>  (k2_xcmplx_0(k1_square_1(A), k1_square_1(B))=k1_square_1(C) <=> r2_tarski(k19_euclid(A, B), k5_jgraph_6(k5_numbers, k5_numbers, C))) ) ) ) ) ) ) ).
fof(t15_bkmodel1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (B=k7_xcmplx_0(k2_xcmplx_0(2, k3_square_1(k1_quin_1(k3_xcmplx_0(A, A), k4_xcmplx_0(2), 1))), k3_xcmplx_0(k3_xcmplx_0(2, A), A)) =>  (A=k5_numbers |  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) | k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(1, k3_xcmplx_0(A, A)), B), B), k3_xcmplx_0(2, B)), 1), k3_xcmplx_0(B, B))=k5_numbers) ) ) ) ) ) ) ) ).
fof(t16_bkmodel1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( (k2_xcmplx_0(k1_square_1(A), k1_square_1(B))=1 &  ( ~ (r1_xxreal_0(C, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, C))  &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( (E=k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(D, C), A), k3_xcmplx_0(k6_xcmplx_0(1, D), k4_xcmplx_0(B))) &  (F=k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(D, C), B), k3_xcmplx_0(k6_xcmplx_0(1, D), A)) & k2_xcmplx_0(k1_square_1(E), k1_square_1(F))=k1_square_1(D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_bkmodel1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(1, k2_xcmplx_0(k1_square_1(A), k1_square_1(B))))  &  (k2_xcmplx_0(k1_square_1(C), k1_square_1(D))=1 & r1_xxreal_0(1, k2_xcmplx_0(k1_square_1(k7_xcmplx_0(k2_xcmplx_0(A, C), 2)), k1_square_1(k7_xcmplx_0(k2_xcmplx_0(B, D), 2))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_bkmodel1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(2)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(2)) =>  (r1_xxreal_0(k1_square_1(k12_euclid(B)), 1) => r1_xxreal_0(k5_numbers, k1_quin_1(k18_rvsum_1(k11_euclid(2, k8_euclid(2, C, B))), A, k6_xcmplx_0(k18_rvsum_1(k11_euclid(2, B)), 1)))) ) ) ) ) ) ) ).
fof(t19_bkmodel1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (v3_xxreal_0(k2_xcmplx_0(k1_square_1(A), k1_square_1(B))) =>  (A=k5_numbers & B=k5_numbers) ) ) ) ) ) ).
fof(t20_bkmodel1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(3))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(3))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(3))) =>  ( (E=k4_euclid_5(A, B, 1) &  (F=k4_euclid_5(C, D, 1) & G=k4_euclid_5(k7_xcmplx_0(k2_xcmplx_0(A, C), 2), k7_xcmplx_0(k2_xcmplx_0(B, D), 2), 1)) )  => k6_euclid_5(E, F, G)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_bkmodel1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  (k3_xcmplx_0(A, k22_rvsum_1(B, C))=k22_rvsum_1(k1_rlvect_1(k15_euclid(3), B, A), C) & k3_xcmplx_0(A, k22_rvsum_1(B, C))=k22_rvsum_1(B, k1_rlvect_1(k15_euclid(3), C, A))) ) ) ) ) ) ) ).
fof(t22_bkmodel1, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (A=k3_pascal(k5_numbers, k5_numbers, k5_numbers, k5_numbers, k5_numbers, k5_numbers) => k12_matrix_3(3, k2_vectsp_1, A)=k4_struct_0(k2_vectsp_1)) ) ) ).
fof(t23_bkmodel1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_vectsp_1)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_vectsp_1)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_vectsp_1)) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (E=k11_finseq_1(k11_finseq_1(A, k5_numbers, k5_numbers), k11_finseq_1(k5_numbers, B, k5_numbers), k11_finseq_1(k5_numbers, k5_numbers, C)) =>  (k3_matrix_0(u1_struct_0(k2_vectsp_1), k4_matrix_3(k2_vectsp_1, k4_matrix_0(u1_struct_0(k2_vectsp_1), D), k4_matrix_3(k2_vectsp_1, E, D)), 1, 1)=k1_algstr_0(k2_vectsp_1, k1_algstr_0(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, A, k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 1, 1)), k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 1, 1)), k6_algstr_0(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, B, k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 2, 1)), k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 2, 1))), k6_algstr_0(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, C, k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 3, 1)), k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 3, 1))) &  (k3_matrix_0(u1_struct_0(k2_vectsp_1), k4_matrix_3(k2_vectsp_1, k4_matrix_0(u1_struct_0(k2_vectsp_1), D), k4_matrix_3(k2_vectsp_1, E, D)), 1, 2)=k1_algstr_0(k2_vectsp_1, k1_algstr_0(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, A, k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 1, 1)), k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 1, 2)), k6_algstr_0(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, B, k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 2, 1)), k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 2, 2))), k6_algstr_0(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, C, k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 3, 1)), k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 3, 2))) &  (k3_matrix_0(u1_struct_0(k2_vectsp_1), k4_matrix_3(k2_vectsp_1, k4_matrix_0(u1_struct_0(k2_vectsp_1), D), k4_matrix_3(k2_vectsp_1, E, D)), 1, 3)=k1_algstr_0(k2_vectsp_1, k1_algstr_0(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, A, k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 1, 1)), k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 1, 3)), k6_algstr_0(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, B, k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 2, 1)), k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 2, 3))), k6_algstr_0(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, C, k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 3, 1)), k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 3, 3))) &  (k3_matrix_0(u1_struct_0(k2_vectsp_1), k4_matrix_3(k2_vectsp_1, k4_matrix_0(u1_struct_0(k2_vectsp_1), D), k4_matrix_3(k2_vectsp_1, E, D)), 2, 1)=k1_algstr_0(k2_vectsp_1, k1_algstr_0(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, A, k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 1, 2)), k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 1, 1)), k6_algstr_0(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, B, k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 2, 2)), k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 2, 1))), k6_algstr_0(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, C, k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 3, 2)), k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 3, 1))) &  (k3_matrix_0(u1_struct_0(k2_vectsp_1), k4_matrix_3(k2_vectsp_1, k4_matrix_0(u1_struct_0(k2_vectsp_1), D), k4_matrix_3(k2_vectsp_1, E, D)), 2, 2)=k1_algstr_0(k2_vectsp_1, k1_algstr_0(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, A, k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 1, 2)), k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 1, 2)), k6_algstr_0(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, B, k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 2, 2)), k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 2, 2))), k6_algstr_0(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, C, k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 3, 2)), k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 3, 2))) &  (k3_matrix_0(u1_struct_0(k2_vectsp_1), k4_matrix_3(k2_vectsp_1, k4_matrix_0(u1_struct_0(k2_vectsp_1), D), k4_matrix_3(k2_vectsp_1, E, D)), 2, 3)=k1_algstr_0(k2_vectsp_1, k1_algstr_0(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, A, k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 1, 2)), k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 1, 3)), k6_algstr_0(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, B, k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 2, 2)), k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 2, 3))), k6_algstr_0(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, C, k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 3, 2)), k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 3, 3))) &  (k3_matrix_0(u1_struct_0(k2_vectsp_1), k4_matrix_3(k2_vectsp_1, k4_matrix_0(u1_struct_0(k2_vectsp_1), D), k4_matrix_3(k2_vectsp_1, E, D)), 3, 1)=k1_algstr_0(k2_vectsp_1, k1_algstr_0(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, A, k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 1, 3)), k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 1, 1)), k6_algstr_0(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, B, k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 2, 3)), k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 2, 1))), k6_algstr_0(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, C, k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 3, 3)), k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 3, 1))) &  (k3_matrix_0(u1_struct_0(k2_vectsp_1), k4_matrix_3(k2_vectsp_1, k4_matrix_0(u1_struct_0(k2_vectsp_1), D), k4_matrix_3(k2_vectsp_1, E, D)), 3, 2)=k1_algstr_0(k2_vectsp_1, k1_algstr_0(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, A, k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 1, 3)), k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 1, 2)), k6_algstr_0(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, B, k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 2, 3)), k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 2, 2))), k6_algstr_0(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, C, k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 3, 3)), k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 3, 2))) & k3_matrix_0(u1_struct_0(k2_vectsp_1), k4_matrix_3(k2_vectsp_1, k4_matrix_0(u1_struct_0(k2_vectsp_1), D), k4_matrix_3(k2_vectsp_1, E, D)), 3, 3)=k1_algstr_0(k2_vectsp_1, k1_algstr_0(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, A, k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 1, 3)), k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 1, 3)), k6_algstr_0(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, B, k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 2, 3)), k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 2, 3))), k6_algstr_0(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, C, k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 3, 3)), k3_matrix_0(u1_struct_0(k2_vectsp_1), D, 3, 3)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_bkmodel1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(k2_vectsp_1), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  ( ~ (r1_xxreal_0(A, k5_numbers))  =>  (v1_matrix_0(k4_matrix_3(k2_vectsp_1, C, D)) &  (v2_matrix_0(k4_matrix_3(k2_vectsp_1, C, D), u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(k4_matrix_3(k2_vectsp_1, C, D), k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_bkmodel1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, A, 1, 1) & m2_finseq_1(B, k3_finseq_2(A))) )  => k4_matrix_0(A, B)=B) ) ) ) ).
fof(t26_bkmodel1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, A, 1, 3) & m2_finseq_1(B, k3_finseq_2(A))) )  => v2_matrix_0(k4_matrix_0(A, B), A, 3, 1)) ) ) ) ).
fof(t27_bkmodel1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (v1_matrix_0(k9_finseq_1(k11_finseq_1(B, C, D))) &  (v2_matrix_0(k9_finseq_1(k11_finseq_1(B, C, D)), A, 1, 3) & m2_finseq_1(k9_finseq_1(k11_finseq_1(B, C, D)), k3_finseq_2(A))) ) ) ) ) ) ) ) ) ) ).
fof(t28_bkmodel1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (v1_matrix_0(k11_finseq_1(k13_matrix_0(A, B), k13_matrix_0(A, C), k13_matrix_0(A, D))) &  (v2_matrix_0(k11_finseq_1(k13_matrix_0(A, B), k13_matrix_0(A, C), k13_matrix_0(A, D)), A, 3, 1) & m2_finseq_1(k11_finseq_1(k13_matrix_0(A, B), k13_matrix_0(A, C), k13_matrix_0(A, D)), k3_finseq_2(A))) ) ) ) ) ) ) ) ) ) ).
fof(t29_bkmodel1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, A, 1, 3) & m2_finseq_1(B, k3_finseq_2(A))) )  => B=k9_finseq_1(k11_finseq_1(k3_matrix_0(A, B, 1, 1), k3_matrix_0(A, B, 1, 2), k3_matrix_0(A, B, 1, 3)))) ) ) ) ).
fof(t30_bkmodel1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, A, 3, 1) & m2_finseq_1(B, k3_finseq_2(A))) )  => B=k11_finseq_1(k13_matrix_0(A, k3_matrix_0(A, B, 1, 1)), k13_matrix_0(A, k3_matrix_0(A, B, 2, 1)), k13_matrix_0(A, k3_matrix_0(A, B, 3, 1)))) ) ) ) ).
fof(t31_bkmodel1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, A, 1, 3) & m2_finseq_1(B, k3_finseq_2(A))) )  => k4_matrix_0(A, B)=k11_finseq_1(k13_matrix_0(A, k3_matrix_0(A, B, 1, 1)), k13_matrix_0(A, k3_matrix_0(A, B, 1, 2)), k13_matrix_0(A, k3_matrix_0(A, B, 1, 3)))) ) ) ) ).
fof(t32_bkmodel1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, A, 1, 3) & m2_finseq_1(B, k3_finseq_2(A))) )  =>  (? [C] :  (m1_subset_1(C, A) &  (? [D] :  (m1_subset_1(D, A) &  (? [E] :  (m1_subset_1(E, A) & B=k9_finseq_1(k11_finseq_1(C, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t33_bkmodel1, axiom,  (! [A] :  (m2_finseq_1(A, k4_finseq_2(1, k1_numbers)) =>  (k3_finseq_1(A)=3 => k9_matrixr1(k2_anproj_8(k1_numbers, A))=A) ) ) ).
fof(t34_bkmodel1, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, 3, 3) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k2_vectsp_1)) =>  (! [E] :  (m2_finseq_1(E, k1_numbers) =>  (! [F] :  (m2_finseq_1(F, k4_finseq_2(1, k1_numbers)) =>  ( (F=k11_laplace(k2_vectsp_1, A, D) &  (C=k2_anproj_8(k1_numbers, F) &  (k3_finseq_1(D)=3 &  (D=E & B=A) ) ) )  => C=k11_matrixr1(B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_bkmodel1, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, k1_numbers, 3, 3) & m2_finseq_1(A, k3_finseq_2(k1_numbers))) )  =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (B=k4_struct_0(k15_euclid(3)) => k11_matrixr1(A, B)=k4_struct_0(k15_euclid(3))) ) ) ) ) ).
fof(t36_bkmodel1, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, k1_numbers, 3, 3) & m2_finseq_1(A, k3_finseq_2(k1_numbers))) )  =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  ~ ( (v1_matrixr2(A, 3) &  (C=B &  ( ~ (v9_struct_0(C, k15_euclid(3)))  & k11_matrixr1(A, B)=k4_struct_0(k15_euclid(3))) ) ) ) ) ) ) ) ) ) ).
fof(t37_bkmodel1, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(A, 3, k2_vectsp_1) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, 3, 3) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [E] :  ( ( ~ (v9_struct_0(E, k15_euclid(3)))  & m1_subset_1(E, u1_struct_0(k15_euclid(3))))  =>  (! [F] :  ( ( ~ (v9_struct_0(F, k15_euclid(3)))  & m1_subset_1(F, u1_struct_0(k15_euclid(3))))  =>  (! [G] :  (m2_finseq_1(G, k1_numbers) =>  (! [H] :  (m2_finseq_1(H, k1_numbers) =>  ( (C=k2_anproj_1(k15_euclid(3), E) &  (D=k2_anproj_1(k15_euclid(3), F) &  (E=H &  (F=G &  (A=B & k11_matrixr1(B, H)=G) ) ) ) )  => k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(A), C)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_bkmodel1, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(A, 3, k2_vectsp_1) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, 3, 3) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [E] :  ( ( ~ (v9_struct_0(E, k15_euclid(3)))  & m1_subset_1(E, u1_struct_0(k15_euclid(3))))  =>  (! [F] :  ( ( ~ (v9_struct_0(F, k15_euclid(3)))  & m1_subset_1(F, u1_struct_0(k15_euclid(3))))  =>  (! [G] :  (m2_finseq_1(G, k1_numbers) =>  (! [H] :  (m2_finseq_1(H, k1_numbers) =>  (! [I] :  ( ( ~ (v8_ordinal1(I))  & v1_xreal_0(I))  =>  ( (C=k2_anproj_1(k15_euclid(3), E) &  (D=k2_anproj_1(k15_euclid(3), F) &  (E=H &  (F=G &  (A=B & k11_matrixr1(B, H)=k10_rvsum_1(G, I)) ) ) ) )  => k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(A), C)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_bkmodel1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_vectsp_1)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_vectsp_1)) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, 3, 3) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  (k3_finseq_1(C)=3 => k22_rvsum_1(k10_rvsum_1(C, A), k11_matrixr1(D, k10_rvsum_1(C, B)))=k3_xcmplx_0(k6_algstr_0(k2_vectsp_1, A, B), k22_rvsum_1(C, k11_matrixr1(D, C)))) ) ) ) ) ) ) ) ) ).
fof(t40_bkmodel1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_vectsp_1)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_vectsp_1)) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, 3, 3) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  (k3_finseq_1(C)=3 => k5_matrprob(k6_matrprob(k10_rvsum_1(C, A), k10_rvsum_1(C, B), D))=k3_xcmplx_0(k6_algstr_0(k2_vectsp_1, A, B), k5_matrprob(k6_matrprob(C, C, D)))) ) ) ) ) ) ) ) ) ).
fof(t41_bkmodel1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ (v9_struct_0(k4_euclid_5(A, B, 1), k15_euclid(3))) ) ) ) ) ).
fof(t42_bkmodel1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v1_xreal_0(C) =>  (r2_tarski(A, k3_topreal9(2, B, C)) <=> r2_tarski(A, k5_jgraph_6(k1_funct_1(B, 1), k1_funct_1(B, 2), C))) ) ) ) ) ) ) ).
fof(t43_bkmodel1, axiom,  (! [A] :  ( ( ~ (v9_struct_0(A, k15_euclid(3)))  & m1_subset_1(A, u1_struct_0(k15_euclid(3))))  =>  (! [B] :  ( ( ~ (v9_struct_0(B, k15_euclid(3)))  & m1_subset_1(B, u1_struct_0(k15_euclid(3))))  =>  ( (k2_anproj_1(k15_euclid(3), A)=k2_anproj_1(k15_euclid(3), B) & k1_funct_1(A, 3)=k1_funct_1(B, 3))  =>  (k1_funct_1(B, 3)=k5_numbers | A=B) ) ) ) ) ) ).
fof(d1_bkmodel1, axiom, k1_bkmodel1=k2_anproj_1(k15_euclid(3), k4_euclid_5(1, k5_numbers, 1))).
fof(d2_bkmodel1, axiom, k2_bkmodel1=k2_anproj_1(k15_euclid(3), k4_euclid_5(k4_xcmplx_0(1), k5_numbers, 1))).
fof(d3_bkmodel1, axiom, k3_bkmodel1=k2_anproj_1(k15_euclid(3), k4_euclid_5(k5_numbers, 1, 1))).
fof(t44_bkmodel1, axiom,  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), k1_bkmodel1, k2_bkmodel1, k3_bkmodel1))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), k1_bkmodel1, k2_bkmodel1, k6_anproj_9))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), k1_bkmodel1, k3_bkmodel1, k6_anproj_9))  &  ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), k2_bkmodel1, k3_bkmodel1, k6_anproj_9)) ) ) ) ).
fof(t45_bkmodel1, axiom, k3_pascal(1, 1, 1, k5_numbers, k5_numbers, k5_numbers)=k3_matrix_1(k2_vectsp_1, 3)).
fof(t46_bkmodel1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_vectsp_1)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_vectsp_1)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_vectsp_1)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_vectsp_1)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_vectsp_1)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_vectsp_1)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k2_vectsp_1)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k2_vectsp_1)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k2_vectsp_1)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(k2_vectsp_1)) =>  (! [K] :  ( (v1_matrix_0(K) &  (v2_matrix_0(K, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(K, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (K=k11_finseq_1(k11_finseq_1(B, C, D), k11_finseq_1(E, F, G), k11_finseq_1(H, I, J)) => k6_matrix_3(k2_vectsp_1, K, A)=k11_finseq_1(k11_finseq_1(k6_algstr_0(k2_vectsp_1, A, B), k6_algstr_0(k2_vectsp_1, A, C), k6_algstr_0(k2_vectsp_1, A, D)), k11_finseq_1(k6_algstr_0(k2_vectsp_1, A, E), k6_algstr_0(k2_vectsp_1, A, F), k6_algstr_0(k2_vectsp_1, A, G)), k11_finseq_1(k6_algstr_0(k2_vectsp_1, A, H), k6_algstr_0(k2_vectsp_1, A, I), k6_algstr_0(k2_vectsp_1, A, J)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_bkmodel1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_vectsp_1)) =>  (B=k3_xcmplx_0(A, A) => k4_matrix_3(k2_vectsp_1, k3_pascal(A, A, k4_xcmplx_0(A), k5_numbers, k5_numbers, k5_numbers), k3_pascal(A, A, k4_xcmplx_0(A), k5_numbers, k5_numbers, k5_numbers))=k6_matrix_3(k2_vectsp_1, k3_matrix_1(k2_vectsp_1, 3), B)) ) ) ) ) ).
fof(t48_bkmodel1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_xreal_0(A))  => k4_matrix_3(k2_vectsp_1, k3_pascal(A, A, k4_xcmplx_0(A), k5_numbers, k5_numbers, k5_numbers), k3_pascal(k7_xcmplx_0(1, A), k7_xcmplx_0(1, A), k4_xcmplx_0(k7_xcmplx_0(1, A)), k5_numbers, k5_numbers, k5_numbers))=k3_matrix_1(k2_vectsp_1, 3)) ) ).
fof(t49_bkmodel1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_xreal_0(A))  => k4_matrix_3(k2_vectsp_1, k3_pascal(k7_xcmplx_0(1, A), k7_xcmplx_0(1, A), k4_xcmplx_0(k7_xcmplx_0(1, A)), k5_numbers, k5_numbers, k5_numbers), k3_pascal(A, A, k4_xcmplx_0(A), k5_numbers, k5_numbers, k5_numbers))=k3_matrix_1(k2_vectsp_1, 3)) ) ).
fof(t50_bkmodel1, axiom, k4_matrix_3(k2_vectsp_1, k3_pascal(1, 1, k4_xcmplx_0(1), k5_numbers, k5_numbers, k5_numbers), k3_pascal(1, 1, k4_xcmplx_0(1), k5_numbers, k5_numbers, k5_numbers))=k3_matrix_1(k2_vectsp_1, 3)).
fof(t51_bkmodel1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_xreal_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (B=k3_pascal(A, A, k4_xcmplx_0(A), k5_numbers, k5_numbers, k5_numbers) => v1_matrix_6(B, 3, k2_vectsp_1)) ) ) ) ) ).
fof(t52_bkmodel1, axiom,  ( (v1_matrix_0(k3_pascal(1, 1, k4_xcmplx_0(1), k5_numbers, k5_numbers, k5_numbers)) &  (v2_matrix_0(k3_pascal(1, 1, k4_xcmplx_0(1), k5_numbers, k5_numbers, k5_numbers), u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(k3_pascal(1, 1, k4_xcmplx_0(1), k5_numbers, k5_numbers, k5_numbers), 3, k2_vectsp_1) & m2_finseq_1(k3_pascal(1, 1, k4_xcmplx_0(1), k5_numbers, k5_numbers, k5_numbers), k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  & k1_matrix_6(3, k2_vectsp_1, k3_pascal(1, 1, k4_xcmplx_0(1), k5_numbers, k5_numbers, k5_numbers))=k3_pascal(1, 1, k4_xcmplx_0(1), k5_numbers, k5_numbers, k5_numbers)) ).
fof(t53_bkmodel1, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(A, 3, k2_vectsp_1) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, 3, 3) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, 3, 3) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  ( (C=k3_pascal(1, 1, k4_xcmplx_0(1), k5_numbers, k5_numbers, k5_numbers) &  (B=C & D=k2_matrixr1(k1_matrix_6(3, k2_vectsp_1, A))) )  => k4_matrix_3(k2_vectsp_1, k4_matrix_3(k2_vectsp_1, k4_matrix_0(u1_struct_0(k2_vectsp_1), A), B), A)=k6_matrixr1(k6_matrixr1(k2_matrixr1(k1_matrix_6(3, k2_vectsp_1, k2_matrixr2(3, k4_matrix_0(k1_numbers, D)))), C), k2_matrixr1(k1_matrix_6(3, k2_vectsp_1, k2_matrixr2(3, D))))) ) ) ) ) ) ) ) ) ).
fof(t54_bkmodel1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_vectsp_1)) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(k2_vectsp_1), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, k1_numbers, A, A) & m2_finseq_1(E, k3_finseq_2(k1_numbers))) )  =>  ( (B=C & D=E)  => k6_matrix_3(k2_vectsp_1, D, B)=k7_matrixr1(C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_bkmodel1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_vectsp_1)) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(k2_vectsp_1), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(k2_vectsp_1), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k4_matrix_3(k2_vectsp_1, k6_matrix_3(k2_vectsp_1, C, B), D)=k6_matrix_3(k2_vectsp_1, k4_matrix_3(k2_vectsp_1, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t56_bkmodel1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_vectsp_1)) => k3_pascal(A, A, k4_algstr_0(k2_vectsp_1, A), k5_numbers, k5_numbers, k5_numbers)=k6_matrix_3(k2_vectsp_1, k3_pascal(1, 1, k4_xcmplx_0(1), k5_numbers, k5_numbers, k5_numbers), A)) ) ).
fof(t57_bkmodel1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_vectsp_1)) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (B=k3_pascal(A, A, k4_algstr_0(k2_vectsp_1, A), k5_numbers, k5_numbers, k5_numbers) => k4_matrix_3(k2_vectsp_1, k4_matrix_3(k2_vectsp_1, B, B), B)=k6_matrix_3(k2_vectsp_1, k3_pascal(1, 1, k4_xcmplx_0(1), k5_numbers, k5_numbers, k5_numbers), k6_algstr_0(k2_vectsp_1, k6_algstr_0(k2_vectsp_1, A, A), A))) ) ) ) ) ).
fof(t58_bkmodel1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  (k3_finseq_1(D)=A =>  (r1_xxreal_0(A, k5_numbers) | k11_matrixr1(C, k10_rvsum_1(D, B))=k11_matrixr1(k7_matrixr1(B, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(t59_bkmodel1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  (k3_finseq_1(D)=A =>  (r1_xxreal_0(A, k5_numbers) | k10_rvsum_1(k11_matrixr1(C, D), B)=k11_matrixr1(k7_matrixr1(B, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(t60_bkmodel1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (v1_matrixr2(B, A) =>  (v1_matrixr2(k4_matrix_0(k1_numbers, B), A) & k7_matrixr2(A, k4_matrix_0(k1_numbers, B))=k4_matrix_0(k1_numbers, k7_matrixr2(A, B))) ) ) ) ) ) ).
fof(t61_bkmodel1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_xreal_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, 3, 3) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, 3, 3) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, 3, 3) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  ( (v1_matrixr2(B, 3) &  (D=k7_matrixr1(A, C) & D=k1_matrixr2(3, k1_matrixr2(3, k4_matrix_0(k1_numbers, B), C), B)) )  => k1_matrixr2(3, k1_matrixr2(3, k4_matrix_0(k1_numbers, k7_matrixr2(3, B)), C), k7_matrixr2(3, B))=k7_matrixr1(k7_xcmplx_0(1, A), C)) ) ) ) ) ) ) ) ) ).
fof(t62_bkmodel1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, 3, 3) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, k1_numbers, 3, 3) & m2_finseq_1(E, k3_finseq_2(k1_numbers))) )  =>  ( (D=B &  (E=C &  (v2_matrix_6(C, 3, k2_vectsp_1) & D=k7_matrixr1(A, E)) ) )  => v2_matrix_6(B, 3, k2_vectsp_1)) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_bkmodel1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, 3, 3) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, 3, 3) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  ( (B=k3_pascal(1, 1, k4_xcmplx_0(1), k5_numbers, k5_numbers, k5_numbers) & C=k7_matrixr1(A, B))  =>  (k1_matrixr2(3, B, C)=k7_matrixr1(A, k4_matrixr2(3)) & k1_matrixr2(3, C, B)=k7_matrixr1(A, k4_matrixr2(3))) ) ) ) ) ) ) ) ).
fof(t64_bkmodel1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, 3, 3) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, 3, 3) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  ( (B=k3_pascal(1, 1, k4_xcmplx_0(1), k5_numbers, k5_numbers, k5_numbers) & C=k7_matrixr1(A, B))  => k1_matrixr2(3, k1_matrixr2(3, k4_matrix_0(k1_numbers, k1_matrixr2(3, k4_matrix_0(k1_numbers, C), B)), B), k1_matrixr2(3, k4_matrix_0(k1_numbers, C), B))=k7_matrixr1(k1_square_1(A), B)) ) ) ) ) ) ) ).
fof(t65_bkmodel1, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, k1_numbers, 3, 3) & m2_finseq_1(A, k3_finseq_2(k1_numbers))) )  =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, 3, 3) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  => k1_matrixr2(3, k1_matrixr2(3, k4_matrix_0(k1_numbers, k1_matrixr2(3, k4_matrix_0(k1_numbers, B), A)), A), k1_matrixr2(3, k4_matrix_0(k1_numbers, B), A))=k1_matrixr2(3, k1_matrixr2(3, k4_matrix_0(k1_numbers, A), k1_matrixr2(3, k1_matrixr2(3, B, A), k4_matrix_0(k1_numbers, B))), A)) ) ) ) ).
fof(t66_bkmodel1, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, k1_numbers, 3, 3) & m2_finseq_1(A, k3_finseq_2(k1_numbers))) )  =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, 3, 3) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  (! [E] :  (m2_finseq_1(E, k1_numbers) =>  ( (C=k11_finseq_1(1, k5_numbers, k5_numbers) &  (D=k11_finseq_1(k5_numbers, 1, k5_numbers) &  (E=k11_finseq_1(k5_numbers, k5_numbers, 1) &  (k11_matrixr1(A, C)=k11_matrixr1(B, C) &  (k11_matrixr1(A, D)=k11_matrixr1(B, D) & k11_matrixr1(A, E)=k11_matrixr1(B, E)) ) ) ) )  => A=B) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_bkmodel1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_xreal_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (k1_rlvect_1(k15_euclid(3), B, A)=k4_struct_0(k15_euclid(3)) => v9_struct_0(B, k15_euclid(3))) ) ) ) ) ).
fof(t68_bkmodel1, axiom,  (! [A] :  ( ( ~ (v9_struct_0(A, k15_euclid(3)))  & m1_subset_1(A, u1_struct_0(k15_euclid(3))))  =>  (! [B] :  ( ( ~ (v9_struct_0(B, k15_euclid(3)))  & m1_subset_1(B, u1_struct_0(k15_euclid(3))))  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (k1_algstr_0(k15_euclid(3), k1_rlvect_1(k15_euclid(3), A, C), k1_rlvect_1(k15_euclid(3), B, D))=k4_struct_0(k15_euclid(3)) =>  ( (C=k5_numbers & D=k5_numbers)  | r1_anproj_1(k15_euclid(3), A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t69_bkmodel1, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(A, 3, k2_vectsp_1) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  ( (k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(A), B)=C &  (k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(A), C)=B & r1_collsp(k5_anproj_1(k15_euclid(3)), B, C, D)) )  =>  (B=C | k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(A), k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(A), D))=D) ) ) ) ) ) ) ) ) ) ).
fof(t70_bkmodel1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (k1_algstr_0(k15_euclid(A), k1_rlvect_1(k15_euclid(A), B, k6_xcmplx_0(1, D)), k1_rlvect_1(k15_euclid(A), C, D))=k1_algstr_0(k15_euclid(A), k1_rlvect_1(k15_euclid(A), C, k6_xcmplx_0(1, E)), k1_rlvect_1(k15_euclid(A), B, E)) => k1_rlvect_1(k15_euclid(A), B, k6_xcmplx_0(1, k2_xcmplx_0(D, E)))=k1_rlvect_1(k15_euclid(A), C, k6_xcmplx_0(1, k2_xcmplx_0(D, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_bkmodel1, axiom, v4_collsp(k5_anproj_1(k15_euclid(3)))).
fof(d4_bkmodel1, axiom, k4_bkmodel1=k5_anproj_1(k15_euclid(3))).
fof(t72_bkmodel1, axiom,  (! [A] :  (m1_subset_1(A, k1_incproj(k4_bkmodel1)) =>  (? [B] :  (m1_subset_1(B, u1_struct_0(k4_bkmodel1)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(k4_bkmodel1)) &  ( ~ (B=C)  & A=k1_collsp(k4_bkmodel1, B, C)) ) ) ) ) ) ) ).
fof(t73_bkmodel1, axiom,  (! [A] :  (m1_subset_1(A, u2_incsp_1(k3_incproj(k4_bkmodel1))) =>  (? [B] :  (m1_subset_1(B, u1_struct_0(k4_bkmodel1)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(k4_bkmodel1)) &  ( ~ (B=C)  & A=k1_collsp(k4_bkmodel1, B, C)) ) ) ) ) ) ) ).
fof(t74_bkmodel1, axiom,  (! [A] :  (m1_subset_1(A, u1_incsp_1(k3_incproj(k4_bkmodel1))) =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(k3_incproj(k4_bkmodel1))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_bkmodel1)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k4_bkmodel1)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k4_bkmodel1)) =>  ( (A=E & B=k1_collsp(k4_bkmodel1, C, D))  =>  (r1_incsp_1(k3_incproj(k4_bkmodel1), A, B) <=> r1_collsp(k4_bkmodel1, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_bkmodel1, axiom,  (v6_incsp_1(k3_incproj(k4_bkmodel1)) &  (v1_incproj(k3_incproj(k4_bkmodel1)) &  (v2_incproj(k3_incproj(k4_bkmodel1)) &  (v3_incproj(k3_incproj(k4_bkmodel1)) &  (v4_incproj(k3_incproj(k4_bkmodel1)) &  (v5_incproj(k3_incproj(k4_bkmodel1)) & l1_incsp_1(k3_incproj(k4_bkmodel1))) ) ) ) ) ) ).
fof(t76_bkmodel1, axiom,  (! [A] :  (m1_incproj(A, k4_bkmodel1) =>  (! [B] :  (m1_incproj(B, k4_bkmodel1) =>  ~ (r1_xboole_0(A, B)) ) ) ) ) ).
fof(t77_bkmodel1, axiom,  (! [A] :  (m1_subset_1(A, u1_incsp_1(k3_incproj(k4_bkmodel1))) =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(k3_incproj(k4_bkmodel1))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_bkmodel1)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k4_bkmodel1)) =>  (! [E] :  ( ( ~ (v9_struct_0(E, k15_euclid(3)))  & m1_subset_1(E, u1_struct_0(k15_euclid(3))))  =>  (! [F] :  ( ( ~ (v9_struct_0(F, k15_euclid(3)))  & m1_subset_1(F, u1_struct_0(k15_euclid(3))))  =>  (! [G] :  ( ( ~ (v9_struct_0(G, k15_euclid(3)))  & m1_subset_1(G, u1_struct_0(k15_euclid(3))))  =>  ( (C=k2_anproj_1(k15_euclid(3), E) &  (D=k2_anproj_1(k15_euclid(3), F) &  (A=k2_anproj_1(k15_euclid(3), G) & B=k1_collsp(k4_bkmodel1, C, D)) ) )  =>  (r1_incsp_1(k3_incproj(k4_bkmodel1), A, B) <=> k6_euclid_5(E, F, G)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t78_bkmodel1, axiom,  (! [A] :  ( ( ~ (v9_struct_0(A, k15_euclid(3)))  & m1_subset_1(A, u1_struct_0(k15_euclid(3))))  =>  (! [B] :  ( ( ~ (v9_struct_0(B, k15_euclid(3)))  & m1_subset_1(B, u1_struct_0(k15_euclid(3))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  ~ ( ( ~ (C=D)  &  (C=k2_anproj_1(k15_euclid(3), A) &  (D=k2_anproj_1(k15_euclid(3), B) & v9_struct_0(k5_euclid_5(A, B), k15_euclid(3))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_bkmodel1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k4_bkmodel1)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_bkmodel1)) =>  ( ~ (A=B)  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_bkmodel1)) =>  (C=k5_bkmodel1(A, B) <=>  (? [D] :  ( ( ~ (v9_struct_0(D, k15_euclid(3)))  & m1_subset_1(D, u1_struct_0(k15_euclid(3))))  &  (? [E] :  ( ( ~ (v9_struct_0(E, k15_euclid(3)))  & m1_subset_1(E, u1_struct_0(k15_euclid(3))))  &  (A=k2_anproj_1(k15_euclid(3), D) &  (B=k2_anproj_1(k15_euclid(3), E) & C=k2_anproj_1(k15_euclid(3), k5_euclid_5(D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t79_bkmodel1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k4_bkmodel1)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_bkmodel1)) =>  ( ~ (A=B)  =>  (k5_bkmodel1(B, A)=k5_bkmodel1(A, B) &  ~ (A=k5_bkmodel1(A, B)) ) ) ) ) ) ) ).
fof(t80_bkmodel1, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(A, 3, k2_vectsp_1) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  => k1_relset_1(u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(A))=k3_anproj_1(k15_euclid(3))) ) ).
fof(t81_bkmodel1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  ( ( ~ (v9_struct_0(G, k15_euclid(3)))  & m1_subset_1(G, u1_struct_0(k15_euclid(3))))  =>  (! [H] :  ( ( ~ (v9_struct_0(H, k15_euclid(3)))  & m1_subset_1(H, u1_struct_0(k15_euclid(3))))  =>  ( (k2_anproj_1(k15_euclid(3), G)=k2_anproj_1(k15_euclid(3), H) & v3_xxreal_0(k1_pascal(A, B, C, D, E, F, G)))  => v3_xxreal_0(k1_pascal(A, B, C, D, E, F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_bkmodel1, axiom, k7_bkmodel1=k2_pascal(1, 1, k4_xcmplx_0(1), k5_numbers, k5_numbers, k5_numbers)).
fof(t82_bkmodel1, axiom,  (! [A] :  ( ( ~ (v9_struct_0(A, k15_euclid(3)))  & m1_subset_1(A, u1_struct_0(k15_euclid(3))))  =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, 3, 3) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  ( (B=k3_pascal(1, 1, k4_xcmplx_0(1), k5_numbers, k5_numbers, k5_numbers) &  (C=k2_anproj_1(k15_euclid(3), A) & A=D) )  =>  (r2_tarski(C, k7_bkmodel1) <=> k5_matrprob(k6_matrprob(D, D, B))=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t83_bkmodel1, axiom,  (! [A] :  ( ( ~ (v9_struct_0(A, k15_euclid(3)))  & m1_subset_1(A, u1_struct_0(k15_euclid(3))))  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  ~ ( (B=k2_anproj_1(k15_euclid(3), A) & k1_funct_1(A, 3)=k5_numbers) ) ) ) ) ) ).
fof(t84_bkmodel1, axiom,  (! [A] :  ( ( ~ (v9_struct_0(A, k15_euclid(3)))  & m1_subset_1(A, u1_struct_0(k15_euclid(3))))  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  ( (B=k2_anproj_1(k15_euclid(3), A) & k1_funct_1(A, 3)=1)  => r2_tarski(k19_euclid(k1_funct_1(A, 1), k1_funct_1(A, 2)), k5_jgraph_6(k5_numbers, k5_numbers, 1))) ) ) ) ) ).
fof(t85_bkmodel1, axiom,  (! [A] :  ( ( ~ (v9_struct_0(A, k15_euclid(3)))  & m1_subset_1(A, u1_struct_0(k15_euclid(3))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  ( (B=k2_anproj_1(k15_euclid(3), A) &  (k1_funct_1(A, 3)=1 & r2_tarski(k19_euclid(k1_funct_1(A, 1), k1_funct_1(A, 2)), k5_jgraph_6(k5_numbers, k5_numbers, 1))) )  => m2_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1)) ) ) ) ) ).
fof(t86_bkmodel1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [B] :  ( ( ~ (v9_struct_0(B, k15_euclid(3)))  & m1_subset_1(B, u1_struct_0(k15_euclid(3))))  =>  ( (A=k2_anproj_1(k15_euclid(3), B) & k1_funct_1(B, 3)=1)  =>  (r2_tarski(k19_euclid(k1_funct_1(B, 1), k1_funct_1(B, 2)), k5_jgraph_6(k5_numbers, k5_numbers, 1)) <=> m2_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1)) ) ) ) ) ) ).
fof(d8_bkmodel1, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [B] :  (m1_subset_1(B, k5_jgraph_6(k5_numbers, k5_numbers, 1)) =>  (B=k8_bkmodel1(A) <=>  (? [C] :  ( ( ~ (v9_struct_0(C, k15_euclid(3)))  & m1_subset_1(C, u1_struct_0(k15_euclid(3))))  &  (A=k2_anproj_1(k15_euclid(3), C) &  (k1_funct_1(C, 3)=1 & B=k19_euclid(k1_funct_1(C, 1), k1_funct_1(C, 2))) ) ) ) ) ) ) ) ) ).
fof(t87_bkmodel1, axiom, u1_struct_0(k8_toprealb(2))=k5_jgraph_6(k5_numbers, k5_numbers, 1)).
fof(d9_bkmodel1, axiom,  (! [A] :  ( ( ~ (v9_struct_0(A, k15_euclid(2)))  & m1_subset_1(A, u1_struct_0(k15_euclid(2))))  =>  (r2_tarski(A, k5_jgraph_6(k5_numbers, k5_numbers, 1)) => k9_bkmodel1(A)=k2_anproj_1(k15_euclid(3), k4_euclid_5(k1_funct_1(A, 1), k1_funct_1(A, 2), 1))) ) ) ).
fof(t88_bkmodel1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  ( (k1_pascal(1, 1, k4_xcmplx_0(1), k5_numbers, k5_numbers, k5_numbers, A)=k5_numbers & k1_funct_1(A, 3)=1)  => r2_tarski(k19_euclid(k1_funct_1(A, 1), k1_funct_1(A, 2)), k3_topreal9(2, k4_struct_0(k15_euclid(2)), 1))) ) ) ).
fof(t89_bkmodel1, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (? [B] :  ( ( ~ (v9_struct_0(B, k15_euclid(3)))  & m1_subset_1(B, u1_struct_0(k15_euclid(3))))  &  (k2_xcmplx_0(k1_square_1(k1_funct_1(B, 1)), k1_square_1(k1_funct_1(B, 2)))=1 &  (k1_funct_1(B, 3)=1 & A=k2_anproj_1(k15_euclid(3), B)) ) ) ) ) ) ).
fof(t90_bkmodel1, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  ~ ( (! [B] :  (m2_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) => A=B) ) ) ) ) ).
fof(t91_bkmodel1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (k2_xcmplx_0(k1_square_1(A), k1_square_1(B))=1 & v9_struct_0(k4_euclid_5(k4_xcmplx_0(B), A, k5_numbers), k15_euclid(3))) ) ) ) ) ) ).
fof(t92_bkmodel1, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  ~ ( (r1_zfmisc_1(A, B, C) & r1_collsp(k5_anproj_1(k15_euclid(3)), A, B, C)) ) ) ) ) ) ) ) ).
fof(t93_bkmodel1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_xreal_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(B, 3, k2_vectsp_1) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(C, 3, k2_vectsp_1) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(D, 3, k2_vectsp_1) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  ( (B=k3_pascal(1, 1, k4_xcmplx_0(1), k5_numbers, k5_numbers, k5_numbers) &  (D=k3_pascal(A, A, k4_xcmplx_0(A), k5_numbers, k5_numbers, k5_numbers) &  (D=k4_matrix_3(k2_vectsp_1, k4_matrix_3(k2_vectsp_1, k4_matrix_0(u1_struct_0(k2_vectsp_1), C), B), C) & k7_relat_1(k4_anproj_8(D), k7_bkmodel1)=k7_bkmodel1) ) )  => k7_relat_1(k4_anproj_8(C), k7_bkmodel1)=k7_bkmodel1) ) ) ) ) ) ) ) ) ).
fof(dt_k1_bkmodel1, axiom, m1_subset_1(k1_bkmodel1, u1_struct_0(k5_anproj_1(k15_euclid(3))))).
fof(dt_k2_bkmodel1, axiom, m1_subset_1(k2_bkmodel1, u1_struct_0(k5_anproj_1(k15_euclid(3))))).
fof(dt_k3_bkmodel1, axiom, m1_subset_1(k3_bkmodel1, u1_struct_0(k5_anproj_1(k15_euclid(3))))).
fof(dt_k4_bkmodel1, axiom,  ( ~ (v2_struct_0(k4_bkmodel1))  &  (v2_collsp(k4_bkmodel1) &  (v3_collsp(k4_bkmodel1) &  (v4_collsp(k4_bkmodel1) &  (v2_anproj_2(k4_bkmodel1) &  (v3_anproj_2(k4_bkmodel1) &  (v7_anproj_2(k4_bkmodel1) & l1_collsp(k4_bkmodel1)) ) ) ) ) ) ) ).
fof(dt_k5_bkmodel1, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k4_bkmodel1)) & m1_subset_1(B, u1_struct_0(k4_bkmodel1)))  => m1_subset_1(k5_bkmodel1(A, B), u1_struct_0(k4_bkmodel1))) ) ).
fof(dt_k6_bkmodel1, axiom,  (! [A, B, C, D, E, F] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v1_xreal_0(C) &  (v1_xreal_0(D) &  (v1_xreal_0(E) & v1_xreal_0(F)) ) ) ) )  => m1_subset_1(k6_bkmodel1(A, B, C, D, E, F), k1_zfmisc_1(u1_struct_0(k5_anproj_1(k15_euclid(3)))))) ) ).
fof(dt_k7_bkmodel1, axiom,  ( ~ (v1_xboole_0(k7_bkmodel1))  & m1_subset_1(k7_bkmodel1, k1_zfmisc_1(u1_struct_0(k5_anproj_1(k15_euclid(3)))))) ).
fof(dt_k8_bkmodel1, axiom,  (! [A] :  (m1_subset_1(A, k7_bkmodel1) => m1_subset_1(k8_bkmodel1(A), k5_jgraph_6(k5_numbers, k5_numbers, 1))) ) ).
fof(dt_k9_bkmodel1, axiom,  (! [A] :  ( ( ~ (v9_struct_0(A, k15_euclid(2)))  & m1_subset_1(A, u1_struct_0(k15_euclid(2))))  => m2_subset_1(k9_bkmodel1(A), u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1)) ) ).
fof(d6_bkmodel1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) => k6_bkmodel1(A, B, C, D, E, F)=a_6_0_bkmodel1(A, B, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_6_0_bkmodel1, axiom,  (! [A, B, C, D, E, F, G] :  ( (v1_xreal_0(B) &  (v1_xreal_0(C) &  (v1_xreal_0(D) &  (v1_xreal_0(E) &  (v1_xreal_0(F) & v1_xreal_0(G)) ) ) ) )  =>  (r2_hidden(A, a_6_0_bkmodel1(B, C, D, E, F, G)) <=>  (? [H] :  (m1_subset_1(H, u1_struct_0(k5_anproj_1(k15_euclid(3)))) &  (A=H &  (! [I] :  (m1_subset_1(I, u1_struct_0(k15_euclid(3))) =>  (H=k2_anproj_1(k15_euclid(3), I) =>  (v9_struct_0(I, k15_euclid(3)) | v3_xxreal_0(k1_pascal(B, C, D, E, F, G, I))) ) ) ) ) ) ) ) ) ) ).
fof(d1_bkmodel2, axiom, k1_bkmodel2=k6_bkmodel1(1, 1, k4_xcmplx_0(1), k5_numbers, k5_numbers, k5_numbers)).
fof(t1_bkmodel2, axiom, r1_subset_1(k1_bkmodel2, k7_bkmodel1)).
fof(t2_bkmodel2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [B] :  ( ( ~ (v9_struct_0(B, k15_euclid(3)))  & m1_subset_1(B, u1_struct_0(k15_euclid(3))))  =>  ~ ( (A=k2_anproj_1(k15_euclid(3), B) &  (r2_tarski(A, k1_bkmodel2) & k1_funct_1(B, 3)=k5_numbers) ) ) ) ) ) ) ).
fof(d2_bkmodel2, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3))), k1_bkmodel2) =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k15_euclid(2)), k6_jgraph_6(k5_numbers, k5_numbers, 1)) =>  (B=k2_bkmodel2(A) <=>  (? [C] :  ( ( ~ (v9_struct_0(C, k15_euclid(3)))  & m1_subset_1(C, u1_struct_0(k15_euclid(3))))  &  (k2_anproj_1(k15_euclid(3), C)=A &  (k1_funct_1(C, 3)=1 & B=k19_euclid(k1_funct_1(C, 1), k1_funct_1(C, 2))) ) ) ) ) ) ) ) ) ).
fof(d3_bkmodel2, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k15_euclid(2)), k6_jgraph_6(k5_numbers, k5_numbers, 1)) =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3))), k1_bkmodel2) =>  (B=k3_bkmodel2(A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (C=A & B=k2_anproj_1(k15_euclid(3), k4_euclid_5(k17_euclid(C), k18_euclid(C), 1))) ) ) ) ) ) ) ) ).
fof(t3_bkmodel2, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3))), k1_bkmodel2) => k3_bkmodel2(k2_bkmodel2(A))=A) ) ).
fof(t4_bkmodel2, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3))), k1_bkmodel2) =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3))), k1_bkmodel2) =>  (A=B <=> k2_bkmodel2(A)=k2_bkmodel2(B)) ) ) ) ) ).
fof(t5_bkmodel2, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k15_euclid(2)), k6_jgraph_6(k5_numbers, k5_numbers, 1)) => k2_bkmodel2(k3_bkmodel2(A))=A) ) ).
fof(t6_bkmodel2, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3))), k1_bkmodel2) =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3))), k1_bkmodel2) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [E] :  (m2_subset_1(E, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  ~ ( ( ~ (A=B)  &  ( ~ (C=D)  &  (r1_collsp(k5_anproj_1(k15_euclid(3)), A, B, C) &  (r1_collsp(k5_anproj_1(k15_euclid(3)), A, B, D) &  (r1_collsp(k5_anproj_1(k15_euclid(3)), A, B, E) &  ( ~ (E=C)  &  ~ (E=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_bkmodel2, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3))), k1_bkmodel2) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [C] :  ( ( ~ (v9_struct_0(C, k15_euclid(3)))  & m1_subset_1(C, u1_struct_0(k15_euclid(3))))  =>  ~ ( ( ~ (A=B)  &  (B=k2_anproj_1(k15_euclid(3), C) &  (k1_funct_1(C, 3)=1 &  (! [D] :  (m2_subset_1(D, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_bkmodel2, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3))), k1_bkmodel2) =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(k3_incproj(k4_bkmodel1))) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(k5_anproj_1(k15_euclid(3)))) &  ( ~ (A=C)  & r2_tarski(C, B)) ) ) ) ) ) ) ).
fof(t9_bkmodel2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(3))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(3))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k15_euclid(3))) =>  ( (F=k4_euclid_5(A, B, E) &  (G=k4_euclid_5(C, D, k5_numbers) & H=k4_euclid_5(k2_xcmplx_0(A, C), k2_xcmplx_0(B, D), E)) )  => k6_euclid_5(F, G, H)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_bkmodel2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & v1_xreal_0(C))  =>  ( ~ (v9_struct_0(k4_euclid_5(A, B, C), k15_euclid(3)))  & m1_subset_1(k4_euclid_5(A, B, C), u1_struct_0(k15_euclid(3)))) ) ) ) ) ) ) ).
fof(t11_bkmodel2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ( (A=k4_euclid_5(C, D, E) &  (B=k4_euclid_5(F, G, k5_numbers) & r1_anproj_1(k15_euclid(3), A, B)) )  => E=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_bkmodel2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [D] :  ( ( ~ (v9_struct_0(D, k15_euclid(3)))  & m1_subset_1(D, u1_struct_0(k15_euclid(3))))  =>  (! [E] :  ( ( ~ (v9_struct_0(E, k15_euclid(3)))  & m1_subset_1(E, u1_struct_0(k15_euclid(3))))  =>  (! [F] :  ( ( ~ (v9_struct_0(F, k15_euclid(3)))  & m1_subset_1(F, u1_struct_0(k15_euclid(3))))  =>  ( (A=k2_anproj_1(k15_euclid(3), D) &  (B=k2_anproj_1(k15_euclid(3), E) &  (C=k2_anproj_1(k15_euclid(3), F) &  (k3_euclid_5(E)=k5_numbers & F=k4_euclid_5(k2_xcmplx_0(k1_euclid_5(D), k1_euclid_5(E)), k2_xcmplx_0(k2_euclid_5(D), k2_euclid_5(E)), k3_euclid_5(D))) ) ) )  =>  (k3_euclid_5(D)=k5_numbers |  ( ~ (C=A)  &  ~ (C=B) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_bkmodel2, axiom,  (! [A] :  (m1_subset_1(A, u2_incsp_1(k3_incproj(k4_bkmodel1))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  ( (r2_tarski(B, A) & r2_tarski(C, A))  =>  (B=C | A=k1_collsp(k5_anproj_1(k15_euclid(3)), B, C)) ) ) ) ) ) ) ) ).
fof(t14_bkmodel2, axiom,  (! [A] :  (m1_subset_1(A, u2_incsp_1(k3_incproj(k4_bkmodel1))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [D] :  ( ( ~ (v9_struct_0(D, k15_euclid(3)))  & m1_subset_1(D, u1_struct_0(k15_euclid(3))))  =>  (! [E] :  ( ( ~ (v9_struct_0(E, k15_euclid(3)))  & m1_subset_1(E, u1_struct_0(k15_euclid(3))))  =>  ( (r2_tarski(B, A) &  (r2_tarski(C, A) &  (B=k2_anproj_1(k15_euclid(3), D) &  (C=k2_anproj_1(k15_euclid(3), E) & k3_euclid_5(E)=k5_numbers) ) ) )  =>  (k3_euclid_5(D)=k5_numbers |  ( ~ (B=C)  & r2_tarski(k2_anproj_1(k15_euclid(3), k4_euclid_5(k2_xcmplx_0(k1_euclid_5(D), k1_euclid_5(E)), k2_xcmplx_0(k2_euclid_5(D), k2_euclid_5(E)), k3_euclid_5(D))), A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_bkmodel2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  ( (k3_euclid_5(B)=k5_numbers & C=k4_euclid_5(k2_xcmplx_0(k1_euclid_5(A), k1_euclid_5(B)), k2_xcmplx_0(k2_euclid_5(A), k2_euclid_5(B)), k3_euclid_5(A)))  => k6_euclid_5(A, B, C)=k5_numbers) ) ) ) ) ) ) ).
fof(t16_bkmodel2, axiom,  (! [A] :  (m1_subset_1(A, u2_incsp_1(k3_incproj(k4_bkmodel1))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [C] :  ( ( ~ (v9_struct_0(C, k15_euclid(3)))  & m1_subset_1(C, u1_struct_0(k15_euclid(3))))  =>  ~ ( (B=k2_anproj_1(k15_euclid(3), C) &  (r2_tarski(B, A) &  ( ~ (k1_funct_1(C, 3)=k5_numbers)  &  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [E] :  ( ( ~ (v9_struct_0(E, k15_euclid(3)))  & m1_subset_1(E, u1_struct_0(k15_euclid(3))))  =>  ~ ( (D=k2_anproj_1(k15_euclid(3), E) &  (r2_tarski(D, A) &  ( ~ (B=D)  &  ~ (k1_funct_1(E, 3)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_bkmodel2, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3))), k1_bkmodel2) =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(k3_incproj(k4_bkmodel1))) =>  ~ ( (r2_tarski(A, B) &  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  ~ ( ( ~ (A=C)  &  (r2_tarski(C, B) &  (! [D] :  ( ( ~ (v9_struct_0(D, k15_euclid(3)))  & m1_subset_1(D, u1_struct_0(k15_euclid(3))))  =>  ~ ( (C=k2_anproj_1(k15_euclid(3), D) & k1_funct_1(D, 3)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_bkmodel2, axiom,  (! [A] :  ( ( ~ (v9_struct_0(A, k15_euclid(3)))  & m1_subset_1(A, u1_struct_0(k15_euclid(3))))  =>  (! [B] :  ( ( ~ (v9_struct_0(B, k15_euclid(3)))  & m1_subset_1(B, u1_struct_0(k15_euclid(3))))  =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & v1_xreal_0(C))  =>  (A=k1_rlvect_1(k15_euclid(3), B, C) => k2_anproj_1(k15_euclid(3), A)=k2_anproj_1(k15_euclid(3), B)) ) ) ) ) ) ) ).
fof(t19_bkmodel2, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3))), k1_bkmodel2) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  ~ ( ( ~ (A=B)  &  (! [C] :  (m2_subset_1(C, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t20_bkmodel2, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3))), k1_bkmodel2) =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3))), k1_bkmodel2) =>  ~ ( ( ~ (A=B)  &  (! [C] :  (m2_subset_1(C, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  ~ ( ( ~ (C=D)  &  (r1_collsp(k5_anproj_1(k15_euclid(3)), A, B, C) & r1_collsp(k5_anproj_1(k15_euclid(3)), A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_bkmodel2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k4_bkmodel1)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_bkmodel1)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_bkmodel1)) =>  (! [D] :  ( ( ~ (v9_struct_0(D, k15_euclid(3)))  & m1_subset_1(D, u1_struct_0(k15_euclid(3))))  =>  (! [E] :  ( ( ~ (v9_struct_0(E, k15_euclid(3)))  & m1_subset_1(E, u1_struct_0(k15_euclid(3))))  =>  (! [F] :  ( ( ~ (v9_struct_0(F, k15_euclid(3)))  & m1_subset_1(F, u1_struct_0(k15_euclid(3))))  =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  (! [J] :  (v1_xreal_0(J) =>  ( (r2_tarski(A, k1_bkmodel2) &  (r2_tarski(B, k7_bkmodel1) &  (A=k2_anproj_1(k15_euclid(3), D) &  (B=k2_anproj_1(k15_euclid(3), E) &  (C=k2_anproj_1(k15_euclid(3), F) &  (D=k4_euclid_5(G, H, 1) &  (E=k4_euclid_5(I, J, 1) & F=k4_euclid_5(k7_xcmplx_0(k2_xcmplx_0(G, I), 2), k7_xcmplx_0(k2_xcmplx_0(H, J), 2), 1)) ) ) ) ) ) )  =>  (r2_tarski(C, k1_bkmodel2) &  ( ~ (C=A)  & r1_collsp(k4_bkmodel1, A, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_bkmodel2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k4_bkmodel1)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_bkmodel1)) =>  ~ ( (r2_tarski(A, k7_bkmodel1) &  (r2_tarski(B, k1_bkmodel2) &  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_bkmodel1)) =>  ~ ( (r2_tarski(C, k1_bkmodel2) &  ( ~ (B=C)  & r1_collsp(k4_bkmodel1, C, B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_bkmodel2, axiom,  (! [A] :  (m1_subset_1(A, u2_incsp_1(k3_incproj(k4_bkmodel1))) =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(k3_incproj(k4_bkmodel1))) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(k3_incproj(k4_bkmodel1))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k4_bkmodel1)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k4_bkmodel1)) =>  ~ ( (B=D &  (C=E &  (r2_tarski(D, k1_bkmodel2) &  (r2_tarski(E, k7_bkmodel1) &  (r1_incsp_1(k3_incproj(k4_bkmodel1), C, A) &  (r1_incsp_1(k3_incproj(k4_bkmodel1), B, A) &  (! [F] :  (m1_subset_1(F, u1_incsp_1(k3_incproj(k4_bkmodel1))) =>  (! [G] :  (m1_subset_1(G, u1_incsp_1(k3_incproj(k4_bkmodel1))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k4_bkmodel1)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k4_bkmodel1)) =>  ~ ( (F=H &  (G=I &  ( ~ (H=I)  &  (r2_tarski(H, k7_bkmodel1) &  (r2_tarski(I, k7_bkmodel1) &  (r1_incsp_1(k3_incproj(k4_bkmodel1), F, A) & r1_incsp_1(k3_incproj(k4_bkmodel1), G, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_bkmodel2, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3))), k1_bkmodel2) =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (? [C] :  (m2_subset_1(C, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) &  ( ~ (B=C)  & r1_collsp(k5_anproj_1(k15_euclid(3)), B, A, C)) ) ) ) ) ) ) ).
fof(t25_bkmodel2, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3))), k1_bkmodel2) =>  (! [B] :  ( ( ~ (v9_struct_0(B, k15_euclid(3)))  & m1_subset_1(B, u1_struct_0(k15_euclid(3))))  =>  ~ ( (A=k2_anproj_1(k15_euclid(3), B) &  (k1_funct_1(B, 3)=1 & r1_xxreal_0(1, k2_xcmplx_0(k1_square_1(k1_funct_1(B, 1)), k1_square_1(k1_funct_1(B, 2))))) ) ) ) ) ) ) ).
fof(t26_bkmodel2, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(k5_anproj_1(k15_euclid(3))), k1_bkmodel2) =>  (! [D] :  ( ( ~ (v9_struct_0(D, k15_euclid(3)))  & m1_subset_1(D, u1_struct_0(k15_euclid(3))))  =>  (! [E] :  ( ( ~ (v9_struct_0(E, k15_euclid(3)))  & m1_subset_1(E, u1_struct_0(k15_euclid(3))))  =>  (! [F] :  ( ( ~ (v9_struct_0(F, k15_euclid(3)))  & m1_subset_1(F, u1_struct_0(k15_euclid(3))))  =>  ~ ( (k2_anproj_1(k15_euclid(3), D)=A &  (k2_anproj_1(k15_euclid(3), E)=B &  (k2_anproj_1(k15_euclid(3), F)=C &  (k1_funct_1(D, 3)=1 &  (k1_funct_1(E, 3)=1 &  (k1_funct_1(F, 3)=1 &  (k1_funct_1(E, 1)=k4_xcmplx_0(k1_funct_1(D, 1)) &  (k1_funct_1(E, 2)=k4_xcmplx_0(k1_funct_1(D, 2)) &  (r1_collsp(k5_anproj_1(k15_euclid(3)), A, C, B) &  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(G, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, G))  &  (k1_funct_1(F, 1)=k3_xcmplx_0(G, k1_funct_1(D, 1)) & k1_funct_1(F, 2)=k3_xcmplx_0(G, k1_funct_1(D, 2))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_bkmodel2, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_bkmodel1)) =>  (B=k4_bkmodel2(A) <=>  (? [C] :  ( ( ~ (v9_struct_0(C, k15_euclid(3)))  & m1_subset_1(C, u1_struct_0(k15_euclid(3))))  &  (A=k2_anproj_1(k15_euclid(3), C) &  (k1_funct_1(C, 3)=1 &  (k2_xcmplx_0(k1_square_1(k1_funct_1(C, 1)), k1_square_1(k1_funct_1(C, 2)))=1 & B=k2_anproj_1(k15_euclid(3), k4_euclid_5(k4_xcmplx_0(k1_funct_1(C, 2)), k1_funct_1(C, 1), k5_numbers))) ) ) ) ) ) ) ) ) ) ).
fof(t27_bkmodel2, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  ~ (A=k4_bkmodel2(A)) ) ) ).
fof(t28_bkmodel2, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  ~ ( (k4_bkmodel2(A)=k4_bkmodel2(B) &  ( ~ (A=B)  &  (! [C] :  ( ( ~ (v9_struct_0(C, k15_euclid(3)))  & m1_subset_1(C, u1_struct_0(k15_euclid(3))))  =>  ~ ( (A=k2_anproj_1(k15_euclid(3), C) &  (B=k2_anproj_1(k15_euclid(3), k4_euclid_5(k4_xcmplx_0(k1_euclid_5(C)), k4_xcmplx_0(k2_euclid_5(C)), 1)) & k3_euclid_5(C)=1) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_bkmodel2, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [B] :  (m1_incproj(B, k4_bkmodel1) =>  (B=k5_bkmodel2(A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k4_bkmodel1)) &  (C=A & B=k1_collsp(k4_bkmodel1, C, k4_bkmodel2(A))) ) ) ) ) ) ) ) ).
fof(t29_bkmodel2, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) => r2_tarski(A, k5_bkmodel2(A))) ) ).
fof(t30_bkmodel2, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) => k9_subset_1(u1_struct_0(k5_anproj_1(k15_euclid(3))), k5_bkmodel2(A), k7_bkmodel1)=k6_domain_1(k7_bkmodel1, A)) ) ).
fof(t31_bkmodel2, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (k5_bkmodel2(A)=k5_bkmodel2(B) => A=B) ) ) ) ) ).
fof(t32_bkmodel2, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(k4_bkmodel1)) &  (r2_tarski(C, k5_bkmodel2(A)) & r2_tarski(C, k5_bkmodel2(B))) ) ) ) ) ) ) ).
fof(t33_bkmodel2, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  ~ ( ( ~ (A=B)  &  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_bkmodel1)) =>  ~ (k9_subset_1(u1_struct_0(k4_bkmodel1), k5_bkmodel2(A), k5_bkmodel2(B))=k6_domain_1(u1_struct_0(k4_bkmodel1), C)) ) ) ) ) ) ) ) ) ).
fof(t34_bkmodel2, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, k1_numbers, 3, 3) & m2_finseq_1(A, k3_finseq_2(k1_numbers))) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_bkmodel1)) =>  (! [D] :  ( ( ~ (v9_struct_0(D, k15_euclid(3)))  & m1_subset_1(D, u1_struct_0(k15_euclid(3))))  =>  (! [E] :  ( ( ~ (v9_struct_0(E, k15_euclid(3)))  & m1_subset_1(E, u1_struct_0(k15_euclid(3))))  =>  (! [F] :  (m2_finseq_1(F, k1_numbers) =>  (! [G] :  (m2_finseq_1(G, k1_numbers) =>  ( (A=k3_pascal(1, 1, k4_xcmplx_0(1), k5_numbers, k5_numbers, k5_numbers) &  (B=k2_anproj_1(k15_euclid(3), D) &  (C=k2_anproj_1(k15_euclid(3), E) &  (D=F &  (E=G & r2_tarski(C, k5_bkmodel2(B))) ) ) ) )  => k5_matrprob(k6_matrprob(G, F, A))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_bkmodel2, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k4_bkmodel1)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k4_bkmodel1)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k4_bkmodel1)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k4_bkmodel1)) =>  ( (r1_zfmisc_1(A, B, C) &  (D=A &  (E=B &  (F=C &  (r2_tarski(G, k5_bkmodel2(A)) & r2_tarski(G, k5_bkmodel2(B))) ) ) ) )  =>  ( ~ (r1_collsp(k4_bkmodel1, D, E, F))  &  ( ~ (r1_collsp(k4_bkmodel1, D, E, G))  &  ( ~ (r1_collsp(k4_bkmodel1, D, F, G))  &  ~ (r1_collsp(k4_bkmodel1, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_bkmodel2, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_bkmodel1)) =>  (! [D] :  ( ( ~ (v9_struct_0(D, k15_euclid(3)))  & m1_subset_1(D, u1_struct_0(k15_euclid(3))))  =>  (! [E] :  ( ( ~ (v9_struct_0(E, k15_euclid(3)))  & m1_subset_1(E, u1_struct_0(k15_euclid(3))))  =>  (! [F] :  ( ( ~ (v9_struct_0(F, k15_euclid(3)))  & m1_subset_1(F, u1_struct_0(k15_euclid(3))))  =>  ~ ( (A=k2_anproj_1(k15_euclid(3), D) &  (B=k2_anproj_1(k15_euclid(3), E) &  (C=k2_anproj_1(k15_euclid(3), F) &  (r2_tarski(C, k5_bkmodel2(A)) &  (r2_tarski(C, k5_bkmodel2(B)) &  (k1_funct_1(D, 3)=1 &  (k1_funct_1(E, 3)=1 &  (k1_funct_1(F, 3)=k5_numbers &  ( ~ (A=B)  &  ~ ( (k1_funct_1(D, 1)=k4_xcmplx_0(k1_funct_1(E, 1)) & k1_funct_1(D, 2)=k4_xcmplx_0(k1_funct_1(E, 2))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_bkmodel2, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_bkmodel1)) =>  (! [C] :  ( ( ~ (v9_struct_0(C, k15_euclid(3)))  & m1_subset_1(C, u1_struct_0(k15_euclid(3))))  =>  ( (r2_tarski(B, k5_bkmodel2(A)) &  (B=k2_anproj_1(k15_euclid(3), C) & k1_funct_1(C, 3)=k5_numbers) )  => B=k4_bkmodel2(A)) ) ) ) ) ) ) ).
fof(t38_bkmodel2, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_xreal_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(B, 3, k2_vectsp_1) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  (B=k3_pascal(A, A, k4_xcmplx_0(A), k5_numbers, k5_numbers, k5_numbers) => k7_relat_1(k4_anproj_8(B), k7_bkmodel1)=k7_bkmodel1) ) ) ) ) ).
fof(t39_bkmodel2, axiom,  (! [A] :  ( ( ~ (v9_struct_0(A, k2_vectsp_1))  & m1_subset_1(A, u1_struct_0(k2_vectsp_1)))  =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(B, 3, k2_vectsp_1) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(C, 3, k2_vectsp_1) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  ( (C=k3_pascal(1, 1, k4_xcmplx_0(1), k5_numbers, k5_numbers, k5_numbers) & B=k6_matrix_3(k2_vectsp_1, C, A))  => k7_relat_1(k4_anproj_8(B), k7_bkmodel1)=k7_bkmodel1) ) ) ) ) ) ) ).
fof(t40_bkmodel2, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) => r1_xboole_0(k5_bkmodel2(A), k1_bkmodel2)) ) ).
fof(t41_bkmodel2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k4_bkmodel1)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_bkmodel1)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_bkmodel1)) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [E] :  (m2_subset_1(E, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k4_bkmodel1)) =>  ~ ( ( ~ (D=E)  &  (B=D &  (C=E &  (r2_tarski(A, k1_bkmodel2) &  (r1_collsp(k4_bkmodel1, A, B, C) &  (r2_tarski(F, k5_bkmodel2(D)) &  (r2_tarski(F, k5_bkmodel2(E)) &  (! [G] :  (m1_subset_1(G, u1_struct_0(k4_bkmodel1)) =>  ~ ( (r2_tarski(G, k7_bkmodel1) & r1_collsp(k4_bkmodel1, A, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_bkmodel2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k4_bkmodel1)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_bkmodel1)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_bkmodel1)) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  ~ ( (r2_tarski(A, k1_bkmodel2) &  (r2_tarski(B, k5_bkmodel2(D)) &  (r1_collsp(k4_bkmodel1, A, C, B) &  ( ~ (B=C)  & D=C) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_bkmodel2, axiom,  (! [A] :  (m1_subset_1(A, k1_anproj_9) =>  (r1_bkmodel2(A) <=>  (? [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(B, 3, k2_vectsp_1) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  &  (A=k4_anproj_8(B) & k7_relat_1(k4_anproj_8(B), k7_bkmodel1)=k7_bkmodel1) ) ) ) ) ) ).
fof(t43_bkmodel2, axiom,  (! [A] :  (m1_subset_1(A, k1_anproj_9) =>  (A=k4_anproj_8(k3_matrix_1(k2_vectsp_1, 3)) => r1_bkmodel2(A)) ) ) ).
fof(d8_bkmodel2, axiom,  (! [A] :  ( (v15_algstr_0(A) & m1_group_2(A, k4_anproj_9))  =>  (A=k7_bkmodel2 <=> u1_struct_0(A)=k6_bkmodel2) ) ) ).
fof(t44_bkmodel2, axiom,  (! [A] :  (m2_subset_1(A, k1_anproj_9, k6_bkmodel2) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(B, 3, k2_vectsp_1) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  (A=k4_anproj_8(B) => k7_relat_1(k4_anproj_8(B), k7_bkmodel1)=k7_bkmodel1) ) ) ) ) ).
fof(t45_bkmodel2, axiom,  (k4_anproj_8(k3_matrix_1(k2_vectsp_1, 3))=k1_group_1(k4_anproj_9) & k4_anproj_8(k3_matrix_1(k2_vectsp_1, 3))=k1_group_1(k7_bkmodel2)) ).
fof(t46_bkmodel2, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(A, 3, k2_vectsp_1) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(B, 3, k2_vectsp_1) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_bkmodel2)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_bkmodel2)) =>  ( (C=k4_anproj_8(A) & D=k4_anproj_8(B))  =>  (m1_subset_1(k6_algstr_0(k7_bkmodel2, C, D), u1_struct_0(k7_bkmodel2)) & k6_algstr_0(k7_bkmodel2, C, D)=k4_anproj_8(k4_matrix_3(k2_vectsp_1, A, B))) ) ) ) ) ) ) ) ) ) ).
fof(t47_bkmodel2, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(A, 3, k2_vectsp_1) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k7_bkmodel2)) =>  (B=k4_anproj_8(A) =>  (k2_group_1(k7_bkmodel2, B)=k4_anproj_8(k1_matrix_6(3, k2_vectsp_1, A)) & m1_subset_1(k4_anproj_8(k1_matrix_6(3, k2_vectsp_1, A)), u1_struct_0(k7_bkmodel2))) ) ) ) ) ) ).
fof(t48_bkmodel2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  ~ ( (r1_zfmisc_1(B, C, D) &  (r2_tarski(A, k9_subset_1(u1_struct_0(k4_bkmodel1), k5_bkmodel2(B), k5_bkmodel2(C))) &  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(E, 3, k2_vectsp_1) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  ~ ( (k7_relat_1(k4_anproj_8(E), k7_bkmodel1)=k7_bkmodel1 &  (k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(E), k1_bkmodel1)=B &  (k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(E), k2_bkmodel1)=C &  (k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(E), k3_bkmodel1)=D & k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(E), k6_anproj_9)=A) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_bkmodel2, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [E] :  (m2_subset_1(E, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [F] :  (m2_subset_1(F, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k4_bkmodel1)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k4_bkmodel1)) =>  ~ ( (r1_zfmisc_1(A, B, C) &  (r1_zfmisc_1(D, E, F) &  (r2_tarski(G, k9_subset_1(u1_struct_0(k4_bkmodel1), k5_bkmodel2(A), k5_bkmodel2(B))) &  (r2_tarski(H, k9_subset_1(u1_struct_0(k4_bkmodel1), k5_bkmodel2(D), k5_bkmodel2(E))) &  (! [I] :  ( (v1_matrix_0(I) &  (v2_matrix_0(I, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(I, 3, k2_vectsp_1) & m2_finseq_1(I, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  ~ ( (k7_relat_1(k4_anproj_8(I), k7_bkmodel1)=k7_bkmodel1 &  (k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(I), A)=D &  (k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(I), B)=E &  (k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(I), C)=F & k1_funct_1(k4_anproj_8(I), G)=H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_bkmodel2, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [E] :  (m2_subset_1(E, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [F] :  (m2_subset_1(F, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  ~ ( (r1_zfmisc_1(A, B, C) &  (r1_zfmisc_1(D, E, F) &  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(G, 3, k2_vectsp_1) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  ~ ( (k7_relat_1(k4_anproj_8(G), k7_bkmodel1)=k7_bkmodel1 &  (k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(G), A)=D &  (k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(G), B)=E & k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(G), C)=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_bkmodel2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) & l1_collsp(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (k1_collsp(A, B, C)=k1_collsp(A, D, E) => r1_collsp(A, D, E, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_bkmodel2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) & l1_collsp(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_collsp(A, B, C)=k1_collsp(A, C, B)) ) ) ) ) ) ).
fof(t53_bkmodel2, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(A, 3, k2_vectsp_1) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (k1_collsp(k5_anproj_1(k15_euclid(3)), k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(A), B), k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(A), C))=k1_collsp(k5_anproj_1(k15_euclid(3)), k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(A), D), k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(A), E)) =>  (r1_collsp(k5_anproj_1(k15_euclid(3)), B, C, D) &  (r1_collsp(k5_anproj_1(k15_euclid(3)), B, C, E) &  (r1_collsp(k5_anproj_1(k15_euclid(3)), D, E, B) & r1_collsp(k5_anproj_1(k15_euclid(3)), D, E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_bkmodel2, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(A, 3, k2_vectsp_1) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_bkmodel1)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_bkmodel1)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k4_bkmodel1)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k4_bkmodel1)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k4_bkmodel1)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k4_bkmodel1)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k4_bkmodel1)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k4_bkmodel1)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(k4_bkmodel1)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(k4_bkmodel1)) =>  ~ ( ( ~ (B=C)  &  ( ~ (D=E)  &  ( ~ (H=I)  &  ( ~ (J=K)  &  (r1_collsp(k4_bkmodel1, B, C, F) &  (r1_collsp(k4_bkmodel1, D, E, F) &  (H=k1_funct_1(k4_anproj_8(A), B) &  (I=k1_funct_1(k4_anproj_8(A), C) &  (J=k1_funct_1(k4_anproj_8(A), D) &  (K=k1_funct_1(k4_anproj_8(A), E) &  (r1_collsp(k4_bkmodel1, H, I, G) &  (r1_collsp(k4_bkmodel1, J, K, G) &  ( ~ (G=k1_funct_1(k4_anproj_8(A), F))  &  ~ (k1_collsp(k4_bkmodel1, H, I)=k1_collsp(k4_bkmodel1, J, K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_bkmodel2, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(A, 3, k2_vectsp_1) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_bkmodel1)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_bkmodel1)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k4_bkmodel1)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k4_bkmodel1)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k4_bkmodel1)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k4_bkmodel1)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k4_bkmodel1)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k4_bkmodel1)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(k4_bkmodel1)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(k4_bkmodel1)) =>  ( (r1_collsp(k4_bkmodel1, B, C, F) &  (r1_collsp(k4_bkmodel1, D, E, F) &  (H=k1_funct_1(k4_anproj_8(A), B) &  (I=k1_funct_1(k4_anproj_8(A), C) &  (J=k1_funct_1(k4_anproj_8(A), D) &  (K=k1_funct_1(k4_anproj_8(A), E) &  (r1_collsp(k4_bkmodel1, H, I, G) & r1_collsp(k4_bkmodel1, J, K, G)) ) ) ) ) ) )  =>  (B=C |  (D=E |  (H=I |  (J=K |  (r1_collsp(k4_bkmodel1, B, C, D) | G=k1_funct_1(k4_anproj_8(A), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_bkmodel2, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(k5_anproj_1(k15_euclid(3))), k1_bkmodel2) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(k5_anproj_1(k15_euclid(3))), k1_bkmodel2) =>  (? [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(E, 3, k2_vectsp_1) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  &  (k7_relat_1(k4_anproj_8(E), k7_bkmodel1)=k7_bkmodel1 &  (k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(E), C)=D & k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(E), A)=B) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_bkmodel2, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  ~ ( (r1_zfmisc_1(A, B, C) &  (r1_zfmisc_1(B, A, D) &  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(E, 3, k2_vectsp_1) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  ~ ( (k7_relat_1(k4_anproj_8(E), k7_bkmodel1)=k7_bkmodel1 &  (k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(E), A)=B &  (k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(E), B)=A &  (k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(E), C)=D &  (! [F] :  (m1_subset_1(F, u1_struct_0(k4_bkmodel1)) =>  (r2_tarski(F, k9_subset_1(u1_struct_0(k4_bkmodel1), k5_bkmodel2(A), k5_bkmodel2(B))) => k1_funct_1(k4_anproj_8(E), F)=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_bkmodel2, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3))), k1_bkmodel2) =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3))), k1_bkmodel2) =>  ~ ( ( ~ (A=B)  &  (! [C] :  (m2_subset_1(C, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [E] :  (m2_subset_1(E, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [F] :  (m2_subset_1(F, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  ~ ( ( ~ (C=D)  &  (r1_collsp(k5_anproj_1(k15_euclid(3)), A, B, C) &  (r1_collsp(k5_anproj_1(k15_euclid(3)), A, B, D) &  (r1_collsp(k5_anproj_1(k15_euclid(3)), A, G, E) &  (r1_collsp(k5_anproj_1(k15_euclid(3)), B, G, F) &  (r1_zfmisc_1(C, D, E) &  (r1_zfmisc_1(C, D, F) & r2_tarski(G, k9_subset_1(u1_struct_0(k4_bkmodel1), k5_bkmodel2(C), k5_bkmodel2(D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_bkmodel2, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3))), k1_bkmodel2) =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3))), k1_bkmodel2) =>  ~ ( ( ~ (A=B)  &  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(C, 3, k2_vectsp_1) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  ~ ( (k7_relat_1(k4_anproj_8(C), k7_bkmodel1)=k7_bkmodel1 &  (k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(C), A)=B &  (k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(C), B)=A &  (? [D] :  (m2_subset_1(D, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) &  (? [E] :  (m2_subset_1(E, u1_struct_0(k5_anproj_1(k15_euclid(3))), k7_bkmodel1) &  ( ~ (D=E)  &  (r1_collsp(k5_anproj_1(k15_euclid(3)), A, B, D) &  (r1_collsp(k5_anproj_1(k15_euclid(3)), A, B, E) &  (k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(C), D)=E & k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(C), E)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_bkmodel2, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3))), k1_bkmodel2) =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3))), k1_bkmodel2) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(k7_bkmodel2)) &  (? [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(D, 3, k2_vectsp_1) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  &  (C=k4_anproj_8(D) &  (k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(D), A)=B & k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(D), B)=A) ) ) ) ) ) ) ) ) ) ).
fof(t61_bkmodel2, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3))), k1_bkmodel2) =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3))), k1_bkmodel2) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(k5_anproj_1(k15_euclid(3))), k1_bkmodel2) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(k5_anproj_1(k15_euclid(3))), k1_bkmodel2) =>  (! [E] :  (m2_subset_1(E, u1_struct_0(k5_anproj_1(k15_euclid(3))), k1_bkmodel2) =>  (! [F] :  (m2_subset_1(F, u1_struct_0(k5_anproj_1(k15_euclid(3))), k1_bkmodel2) =>  ~ ( ( (? [G] :  (m1_subset_1(G, u1_struct_0(k7_bkmodel2)) &  (? [H] :  (m1_subset_1(H, u1_struct_0(k7_bkmodel2)) &  (? [I] :  ( (v1_matrix_0(I) &  (v2_matrix_0(I, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(I, 3, k2_vectsp_1) & m2_finseq_1(I, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  &  (? [J] :  ( (v1_matrix_0(J) &  (v2_matrix_0(J, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(J, 3, k2_vectsp_1) & m2_finseq_1(J, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  &  (G=k4_anproj_8(I) &  (H=k4_anproj_8(J) &  (k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(I), A)=C &  (k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(I), B)=D &  (k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(J), C)=E & k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(J), D)=F) ) ) ) ) ) ) ) ) ) ) ) )  &  (! [G] :  (m1_subset_1(G, u1_struct_0(k7_bkmodel2)) =>  (! [H] :  ( (v1_matrix_0(H) &  (v2_matrix_0(H, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(H, 3, k2_vectsp_1) & m2_finseq_1(H, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  ~ ( (G=k4_anproj_8(H) &  (k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(H), A)=E & k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(H), B)=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_bkmodel2, axiom,  (! [A] :  (m2_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3))), k1_bkmodel2) =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3))), k1_bkmodel2) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(k5_anproj_1(k15_euclid(3))), k1_bkmodel2) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_bkmodel2)) =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(E, 3, k2_vectsp_1) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  ( (D=k4_anproj_8(E) &  (k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(E), A)=C & k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(E), B)=C) )  => A=B) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_bkmodel2, axiom,  ( ~ (v1_xboole_0(k1_bkmodel2))  & m1_subset_1(k1_bkmodel2, k1_zfmisc_1(u1_struct_0(k5_anproj_1(k15_euclid(3)))))) ).
fof(dt_k2_bkmodel2, axiom,  (! [A] :  (m1_subset_1(A, k1_bkmodel2) => m2_subset_1(k2_bkmodel2(A), u1_struct_0(k15_euclid(2)), k6_jgraph_6(k5_numbers, k5_numbers, 1))) ) ).
fof(dt_k3_bkmodel2, axiom,  (! [A] :  (m1_subset_1(A, k6_jgraph_6(k5_numbers, k5_numbers, 1)) => m2_subset_1(k3_bkmodel2(A), u1_struct_0(k5_anproj_1(k15_euclid(3))), k1_bkmodel2)) ) ).
fof(dt_k4_bkmodel2, axiom,  (! [A] :  (m1_subset_1(A, k7_bkmodel1) => m1_subset_1(k4_bkmodel2(A), u1_struct_0(k4_bkmodel1))) ) ).
fof(dt_k5_bkmodel2, axiom,  (! [A] :  (m1_subset_1(A, k7_bkmodel1) => m1_incproj(k5_bkmodel2(A), k4_bkmodel1)) ) ).
fof(dt_k6_bkmodel2, axiom,  ( ~ (v1_xboole_0(k6_bkmodel2))  & m1_subset_1(k6_bkmodel2, k1_zfmisc_1(k1_anproj_9))) ).
fof(dt_k7_bkmodel2, axiom,  (v15_algstr_0(k7_bkmodel2) & m1_group_2(k7_bkmodel2, k4_anproj_9)) ).
fof(d7_bkmodel2, axiom, k6_bkmodel2=a_0_0_bkmodel2).
fof(fraenkel_a_0_0_bkmodel2, axiom,  (! [A] :  (r2_hidden(A, a_0_0_bkmodel2) <=>  (? [B] :  (m1_subset_1(B, k1_anproj_9) &  (A=B & r1_bkmodel2(B)) ) ) ) ) ).
fof(t1_boole, axiom,  (! [A] : k2_xboole_0(A, k1_xboole_0)=A) ).
fof(t2_boole, axiom,  (! [A] : k3_xboole_0(A, k1_xboole_0)=k1_xboole_0) ).
fof(t3_boole, axiom,  (! [A] : k4_xboole_0(A, k1_xboole_0)=A) ).
fof(t4_boole, axiom,  (! [A] : k4_xboole_0(k1_xboole_0, A)=k1_xboole_0) ).
fof(t5_boole, axiom,  (! [A] : k5_xboole_0(A, k1_xboole_0)=A) ).
fof(t6_boole, axiom,  (! [A] :  (v1_xboole_0(A) => A=k1_xboole_0) ) ).
fof(t7_boole, axiom,  (! [A] :  (! [B] :  ~ ( (r2_tarski(A, B) & v1_xboole_0(B)) ) ) ) ).
fof(t8_boole, axiom,  (! [A] :  (! [B] :  ~ ( (v1_xboole_0(A) &  ( ~ (A=B)  & v1_xboole_0(B)) ) ) ) ) ).
fof(d1_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_boolealg(A, B, C)=k4_lattices(A, B, k7_lattices(A, C))) ) ) ) ) ) ).
fof(d2_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_boolealg(A, B, C)=k3_lattices(A, k1_boolealg(A, B, C), k1_boolealg(A, C, B))) ) ) ) ) ) ).
fof(d3_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_boolealg(A, B, C) <=>  (r3_lattices(A, B, C) & r3_lattices(A, C, B)) ) ) ) ) ) ) ) ).
fof(d4_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_boolealg(A, B, C) <=>  ~ (k4_lattices(A, B, C)=k5_lattices(A)) ) ) ) ) ) ) ) ).
fof(t1_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r3_lattices(A, k3_lattices(A, B, C), D) => r3_lattices(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t2_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r3_lattices(A, k4_lattices(A, B, C), k3_lattices(A, B, D))) ) ) ) ) ) ) ) ).
fof(t3_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r3_lattices(A, B, D) => r3_lattices(A, k1_boolealg(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t4_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r3_lattices(A, k1_boolealg(A, B, C), D) & r3_lattices(A, k1_boolealg(A, C, B), D))  => r3_lattices(A, k2_boolealg(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t5_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_boolealg(A, B, k3_lattices(A, C, D)) <=>  (r3_lattices(A, C, B) &  (r3_lattices(A, D, B) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r3_lattices(A, C, E) & r3_lattices(A, D, E))  => r3_lattices(A, B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_boolealg(A, B, k4_lattices(A, C, D)) <=>  (r3_lattices(A, B, C) &  (r3_lattices(A, B, D) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r3_lattices(A, E, C) & r3_lattices(A, E, D))  => r3_lattices(A, E, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (r2_boolealg(A, B, B) <=>  ~ (B=k5_lattices(A)) ) ) ) ) ) ).
fof(t8_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_boolealg(A, k3_lattices(A, k4_lattices(A, B, C), k4_lattices(A, B, D)), B) => r3_lattices(A, B, k3_lattices(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t9_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (r3_lattices(A, B, k5_lattices(A)) => r1_boolealg(A, B, k5_lattices(A))) ) ) ) ) ).
fof(t10_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r3_lattices(A, B, C) &  (r3_lattices(A, B, D) & r1_boolealg(A, k4_lattices(A, C, D), k5_lattices(A))) )  => r1_boolealg(A, B, k5_lattices(A))) ) ) ) ) ) ) ) ) ).
fof(t11_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_boolealg(A, k3_lattices(A, B, C), k5_lattices(A)) <=>  (r1_boolealg(A, B, k5_lattices(A)) & r1_boolealg(A, C, k5_lattices(A))) ) ) ) ) ) ) ) ).
fof(t12_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r3_lattices(A, B, C) & r1_boolealg(A, k4_lattices(A, C, D), k5_lattices(A)))  => r1_boolealg(A, k4_lattices(A, B, D), k5_lattices(A))) ) ) ) ) ) ) ) ) ).
fof(t13_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r3_boolealg(A, B, C) & r3_lattices(A, C, D))  => r3_boolealg(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t14_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r3_boolealg(A, B, k4_lattices(A, C, D)) =>  (r3_boolealg(A, B, C) & r3_boolealg(A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t15_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r3_boolealg(A, B, k1_boolealg(A, C, D)) => r3_boolealg(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t16_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ (r4_boolealg(A, B, k5_lattices(A))) ) ) ) ) ).
fof(t17_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (r4_boolealg(A, B, D))  &  (r3_lattices(A, C, D) & r4_boolealg(A, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ ( (r4_boolealg(A, B, C) & r4_boolealg(A, B, D)) )  & r4_boolealg(A, B, k4_lattices(A, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t19_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r3_lattices(A, B, C) & r3_lattices(A, B, D))  =>  (r4_boolealg(A, C, D) | r1_boolealg(A, B, k5_lattices(A))) ) ) ) ) ) ) ) ) ) ).
fof(t20_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (r4_boolealg(A, B, C))  & r4_boolealg(A, k4_lattices(A, D, B), k4_lattices(A, D, C))) ) ) ) ) ) ) ) ) ) ).
fof(t21_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r3_lattices(A, k1_boolealg(A, B, C), D) => r3_lattices(A, B, k3_lattices(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t22_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r3_lattices(A, B, C) => r3_lattices(A, k1_boolealg(A, D, C), k1_boolealg(A, D, B))) ) ) ) ) ) ) ) ) ).
fof(t23_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r3_lattices(A, B, C) & r3_lattices(A, D, E))  => r3_lattices(A, k1_boolealg(A, B, E), k1_boolealg(A, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r3_lattices(A, B, k3_lattices(A, C, D)) => r3_lattices(A, k1_boolealg(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t25_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r3_lattices(A, k7_lattices(A, B), k7_lattices(A, k4_lattices(A, B, C)))) ) ) ) ) ) ).
fof(t26_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r3_lattices(A, k7_lattices(A, k3_lattices(A, B, C)), k7_lattices(A, B))) ) ) ) ) ) ).
fof(t27_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_lattices(A, B, k1_boolealg(A, C, B)) => r1_boolealg(A, B, k5_lattices(A))) ) ) ) ) ) ) ).
fof(t28_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_lattices(A, B, C) => r1_boolealg(A, C, k3_lattices(A, B, k1_boolealg(A, C, B)))) ) ) ) ) ) ) ).
fof(t29_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_boolealg(A, k1_boolealg(A, B, C), k5_lattices(A)) <=> r3_lattices(A, B, C)) ) ) ) ) ) ) ).
fof(t30_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r3_lattices(A, B, k3_lattices(A, C, D)) & r1_boolealg(A, k4_lattices(A, B, D), k5_lattices(A)))  => r3_lattices(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t31_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_boolealg(A, k3_lattices(A, B, C), k3_lattices(A, k1_boolealg(A, B, C), C))) ) ) ) ) ) ).
fof(t32_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_boolealg(A, k1_boolealg(A, B, k3_lattices(A, B, C)), k5_lattices(A))) ) ) ) ) ) ).
fof(t33_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_boolealg(A, k1_boolealg(A, B, k4_lattices(A, B, C)), k1_boolealg(A, B, C))) ) ) ) ) ) ).
fof(t34_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_boolealg(A, k4_lattices(A, k1_boolealg(A, B, C), C), k5_lattices(A))) ) ) ) ) ) ).
fof(t35_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_boolealg(A, k3_lattices(A, B, k1_boolealg(A, C, B)), k3_lattices(A, B, C))) ) ) ) ) ) ).
fof(t36_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_boolealg(A, k3_lattices(A, k4_lattices(A, B, C), k1_boolealg(A, B, C)), B)) ) ) ) ) ) ).
fof(t37_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_boolealg(A, k1_boolealg(A, B, k1_boolealg(A, C, D)), k3_lattices(A, k1_boolealg(A, B, C), k4_lattices(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t38_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_boolealg(A, k1_boolealg(A, B, k1_boolealg(A, B, C)), k4_lattices(A, B, C))) ) ) ) ) ) ).
fof(t39_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_boolealg(A, k1_boolealg(A, k3_lattices(A, B, C), C), k1_boolealg(A, B, C))) ) ) ) ) ) ).
fof(t40_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_boolealg(A, k4_lattices(A, B, C), k5_lattices(A)) <=> r1_boolealg(A, k1_boolealg(A, B, C), B)) ) ) ) ) ) ) ).
fof(t41_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_boolealg(A, k1_boolealg(A, B, k3_lattices(A, C, D)), k4_lattices(A, k1_boolealg(A, B, C), k1_boolealg(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t42_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_boolealg(A, k1_boolealg(A, B, k4_lattices(A, C, D)), k3_lattices(A, k1_boolealg(A, B, C), k1_boolealg(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t43_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_boolealg(A, k4_lattices(A, B, k1_boolealg(A, C, D)), k1_boolealg(A, k4_lattices(A, B, C), k4_lattices(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t44_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_boolealg(A, k1_boolealg(A, k3_lattices(A, B, C), k4_lattices(A, B, C)), k3_lattices(A, k1_boolealg(A, B, C), k1_boolealg(A, C, B)))) ) ) ) ) ) ).
fof(t45_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_boolealg(A, k1_boolealg(A, k1_boolealg(A, B, C), D), k1_boolealg(A, B, k3_lattices(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t46_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_boolealg(A, k1_boolealg(A, B, C), k1_boolealg(A, C, B)) => r1_boolealg(A, B, C)) ) ) ) ) ) ) ).
fof(t47_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_boolealg(A, k1_boolealg(A, B, k5_lattices(A)), B)) ) ) ) ).
fof(t48_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_boolealg(A, k7_lattices(A, k1_boolealg(A, B, C)), k3_lattices(A, k7_lattices(A, B), C))) ) ) ) ) ) ).
fof(t49_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r3_boolealg(A, B, k3_lattices(A, C, D)) <=>  (r3_boolealg(A, B, C) | r3_boolealg(A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t50_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ (r4_boolealg(A, k4_lattices(A, B, C), k1_boolealg(A, B, C))) ) ) ) ) ) ) ).
fof(t51_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ~ (r4_boolealg(A, B, k3_lattices(A, C, D)))  <=>  ( ~ (r4_boolealg(A, B, C))  &  ~ (r4_boolealg(A, B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ (r4_boolealg(A, k1_boolealg(A, B, C), C)) ) ) ) ) ) ) ).
fof(t53_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (r4_boolealg(A, B, C))  => r1_boolealg(A, k1_boolealg(A, k3_lattices(A, B, C), C), B)) ) ) ) ) ) ) ).
fof(t54_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_boolealg(A, k3_lattices(A, k7_lattices(A, B), k7_lattices(A, C)), k3_lattices(A, B, C)) =>  (r4_boolealg(A, B, k7_lattices(A, B)) |  (r4_boolealg(A, C, k7_lattices(A, C)) |  (r1_boolealg(A, B, k7_lattices(A, C)) & r1_boolealg(A, C, k7_lattices(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(t55_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_boolealg(A, k3_lattices(A, k7_lattices(A, B), k7_lattices(A, C)), k3_lattices(A, B, C)) =>  (r4_boolealg(A, C, k7_lattices(A, B)) |  (r4_boolealg(A, B, k7_lattices(A, C)) |  (r1_boolealg(A, B, k7_lattices(A, B)) & r1_boolealg(A, C, k7_lattices(A, C))) ) ) ) ) ) ) ) ) ) ).
fof(t56_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_boolealg(A, k3_boolealg(A, B, k5_lattices(A)), B)) ) ) ) ).
fof(t57_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_boolealg(A, k3_boolealg(A, B, B), k5_lattices(A))) ) ) ) ).
fof(t58_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ (r4_boolealg(A, k4_lattices(A, B, C), k3_boolealg(A, B, C))) ) ) ) ) ) ) ).
fof(t59_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_boolealg(A, k3_lattices(A, B, C), k3_boolealg(A, B, k1_boolealg(A, C, B)))) ) ) ) ) ) ).
fof(t60_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_boolealg(A, k3_boolealg(A, B, k4_lattices(A, B, C)), k1_boolealg(A, B, C))) ) ) ) ) ) ).
fof(t61_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_boolealg(A, k3_lattices(A, B, C), k3_lattices(A, k3_boolealg(A, B, C), k4_lattices(A, B, C)))) ) ) ) ) ) ).
fof(t62_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_boolealg(A, k3_boolealg(A, k3_boolealg(A, B, C), k4_lattices(A, B, C)), k3_lattices(A, B, C))) ) ) ) ) ) ).
fof(t63_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_boolealg(A, k3_boolealg(A, k3_boolealg(A, B, C), k3_lattices(A, B, C)), k4_lattices(A, B, C))) ) ) ) ) ) ).
fof(t64_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_boolealg(A, k3_boolealg(A, B, C), k1_boolealg(A, k3_lattices(A, B, C), k4_lattices(A, B, C)))) ) ) ) ) ) ).
fof(t65_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_boolealg(A, k1_boolealg(A, k3_boolealg(A, B, C), D), k3_lattices(A, k1_boolealg(A, B, k3_lattices(A, C, D)), k1_boolealg(A, C, k3_lattices(A, B, D))))) ) ) ) ) ) ) ) ).
fof(t66_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_boolealg(A, k1_boolealg(A, B, k3_boolealg(A, C, D)), k3_lattices(A, k1_boolealg(A, B, k3_lattices(A, C, D)), k4_lattices(A, k4_lattices(A, B, C), D)))) ) ) ) ) ) ) ) ).
fof(t67_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_boolealg(A, k3_boolealg(A, k3_boolealg(A, B, C), D), k3_boolealg(A, B, k3_boolealg(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t68_boolealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_boolealg(A, k7_lattices(A, k3_boolealg(A, B, C)), k3_lattices(A, k4_lattices(A, B, C), k4_lattices(A, k7_lattices(A, B), k7_lattices(A, C))))) ) ) ) ) ) ).
fof(dt_k1_boolealg, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k1_boolealg(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k2_boolealg, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k2_boolealg(A, B, C), u1_struct_0(A))) ) ).
fof(symmetry_r1_boolealg, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r1_boolealg(A, B, C) => r1_boolealg(A, C, B)) ) ) ).
fof(reflexivity_r1_boolealg, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => r1_boolealg(A, B, B)) ) ).
fof(redefinition_r1_boolealg, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r1_boolealg(A, B, C) <=> B=C) ) ) ).
fof(symmetry_r3_boolealg, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r3_boolealg(A, B, C) => r3_boolealg(A, C, B)) ) ) ).
fof(redefinition_r3_boolealg, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r3_boolealg(A, B, C) <=> r2_boolealg(A, B, C)) ) ) ).
fof(dt_k3_boolealg, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k3_boolealg(A, B, C), u1_struct_0(A))) ) ).
fof(commutativity_k3_boolealg, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k3_boolealg(A, B, C)=k3_boolealg(A, C, B)) ) ).
fof(redefinition_k3_boolealg, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k3_boolealg(A, B, C)=k2_boolealg(A, B, C)) ) ).
fof(symmetry_r4_boolealg, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r4_boolealg(A, B, C) => r4_boolealg(A, C, B)) ) ) ).
fof(redefinition_r4_boolealg, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r4_boolealg(A, B, C) <=> r2_boolealg(A, B, C)) ) ) ).
fof(t1_boolmark, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (! [E] :  (m1_subset_1(E, B) =>  (v1_funct_1(k1_funct_4(C, k8_funcop_1(B, D, E))) &  (v1_funct_2(k1_funct_4(C, k8_funcop_1(B, D, E)), A, B) & m1_subset_1(k1_funct_4(C, k8_funcop_1(B, D, E)), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_boolmark, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (r1_xboole_0(k7_relat_1(E, C), k7_relat_1(E, D)) => r1_xboole_0(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_boolmark, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  (r1_xboole_0(A, B) => k7_relat_1(k1_funct_4(C, k7_funcop_1(A, D)), B)=k7_relat_1(C, B)) ) ) ) ) ) ).
fof(d1_boolmark, axiom,  (! [A] :  (l1_petri(A) => k1_boolmark(A)=k9_funct_2(u1_struct_0(A), k5_margrel1)) ) ).
fof(d2_boolmark, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m2_funct_2(B, u1_struct_0(A), k5_margrel1, k1_boolmark(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (r1_boolmark(A, B, C) <=> r1_tarski(k7_relat_1(B, k8_petri(A, k6_domain_1(u4_struct_0(A), C))), k6_domain_1(k5_margrel1, k7_margrel1))) ) ) ) ) ) ) ).
fof(d3_boolmark, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m2_funct_2(B, u1_struct_0(A), k5_margrel1, k1_boolmark(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) => k2_boolmark(A, B, C)=k1_funct_4(k1_funct_4(B, k8_funcop_1(k5_margrel1, k8_petri(A, k6_domain_1(u4_struct_0(A), C)), k6_margrel1)), k8_funcop_1(k5_margrel1, k9_petri(A, k6_domain_1(u4_struct_0(A), C)), k7_margrel1))) ) ) ) ) ) ).
fof(d4_boolmark, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m2_funct_2(B, u1_struct_0(A), k5_margrel1, k1_boolmark(A)) =>  (! [C] :  (m2_finseq_1(C, u4_struct_0(A)) =>  (r2_boolmark(A, B, C) <=>  ~ ( ( ~ (C=k1_xboole_0)  &  (! [D] :  (m2_finseq_1(D, k1_boolmark(A)) =>  ~ ( (k3_finseq_1(C)=k3_finseq_1(D) &  (r1_boolmark(A, B, k7_partfun1(u4_struct_0(A), C, 1)) &  (k7_partfun1(k1_boolmark(A), D, 1)=k2_boolmark(A, B, k7_partfun1(u4_struct_0(A), C, 1)) &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ~ ( ( ~ (r1_xxreal_0(k3_finseq_1(C), E))  &  ( ~ (r1_xxreal_0(E, k5_numbers))  &  ~ ( (r1_boolmark(A, k7_partfun1(k1_boolmark(A), D, E), k7_partfun1(u4_struct_0(A), C, k1_nat_1(E, 1))) & k7_partfun1(k1_boolmark(A), D, k1_nat_1(E, 1))=k2_boolmark(A, k7_partfun1(k1_boolmark(A), D, E), k7_partfun1(u4_struct_0(A), C, k1_nat_1(E, 1)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_boolmark, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m2_funct_2(B, u1_struct_0(A), k5_margrel1, k1_boolmark(A)) =>  (! [C] :  (m2_finseq_1(C, u4_struct_0(A)) =>  (! [D] :  (m2_funct_2(D, u1_struct_0(A), k5_margrel1, k1_boolmark(A)) =>  ( (C=k1_xboole_0 =>  (D=k3_boolmark(A, B, C) <=> r2_funct_2(u1_struct_0(A), k5_margrel1, D, B)) )  &  ( ~ (C=k1_xboole_0)  =>  (D=k3_boolmark(A, B, C) <=>  (? [E] :  (m2_finseq_1(E, k1_boolmark(A)) &  (k3_finseq_1(C)=k3_finseq_1(E) &  (D=k7_partfun1(k1_boolmark(A), E, k3_finseq_1(E)) &  (k7_partfun1(k1_boolmark(A), E, 1)=k2_boolmark(A, B, k7_partfun1(u4_struct_0(A), C, 1)) &  (! [F] :  (v7_ordinal1(F) =>  ~ ( ( ~ (r1_xxreal_0(k3_finseq_1(C), F))  &  ( ~ (r1_xxreal_0(F, k5_numbers))  &  ~ (k7_partfun1(k1_boolmark(A), E, k1_nat_1(F, 1))=k2_boolmark(A, k7_partfun1(k1_boolmark(A), E, F), k7_partfun1(u4_struct_0(A), C, k1_nat_1(F, 1)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_boolmark, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => k7_relat_1(k1_funct_4(C, k7_funcop_1(A, B)), A)=k1_tarski(B)) ) ) ) ) ).
fof(t5_boolmark, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m2_funct_2(B, u1_struct_0(A), k5_margrel1, k1_boolmark(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, k9_petri(A, k6_domain_1(u4_struct_0(A), C))) => k3_funct_2(u1_struct_0(A), k5_margrel1, k2_boolmark(A, B, C), D)=k7_margrel1) ) ) ) ) ) ) ) ) ).
fof(t6_boolmark, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v4_petri(B, A) <=>  (! [C] :  (m2_funct_2(C, u1_struct_0(A), k5_margrel1, k1_boolmark(A)) =>  (k7_relat_1(C, B)=k6_domain_1(k5_margrel1, k6_margrel1) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (r1_boolmark(A, C, D) => k7_relat_1(k2_boolmark(A, C, D), B)=k6_domain_1(k5_margrel1, k6_margrel1)) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_boolmark, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, k3_finseq_1(B)))  => k7_partfun1(A, k8_finseq_1(A, B, C), D)=k7_partfun1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t8_boolmark, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m2_funct_2(B, u1_struct_0(A), k5_margrel1, k1_boolmark(A)) =>  (! [C] :  (m2_finseq_1(C, u4_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u4_struct_0(A)) => r2_funct_2(u1_struct_0(A), k5_margrel1, k3_boolmark(A, B, k8_finseq_1(u4_struct_0(A), C, D)), k3_boolmark(A, k3_boolmark(A, B, C), D))) ) ) ) ) ) ) ) ).
fof(t9_boolmark, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m2_funct_2(B, u1_struct_0(A), k5_margrel1, k1_boolmark(A)) =>  (! [C] :  (m2_finseq_1(C, u4_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u4_struct_0(A)) =>  (r2_boolmark(A, B, k8_finseq_1(u4_struct_0(A), C, D)) =>  (r2_boolmark(A, k3_boolmark(A, B, C), D) & r2_boolmark(A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t10_boolmark, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m2_funct_2(B, u1_struct_0(A), k5_margrel1, k1_boolmark(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (r1_boolmark(A, B, C) <=> r2_boolmark(A, B, k12_finseq_1(u4_struct_0(A), C))) ) ) ) ) ) ) ).
fof(t11_boolmark, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m2_funct_2(B, u1_struct_0(A), k5_margrel1, k1_boolmark(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) => r2_funct_2(u1_struct_0(A), k5_margrel1, k2_boolmark(A, B, C), k3_boolmark(A, B, k12_finseq_1(u4_struct_0(A), C)))) ) ) ) ) ) ).
fof(t12_boolmark, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v4_petri(B, A) <=>  (! [C] :  (m2_funct_2(C, u1_struct_0(A), k5_margrel1, k1_boolmark(A)) =>  (k7_relat_1(C, B)=k6_domain_1(k5_margrel1, k6_margrel1) =>  (! [D] :  (m2_finseq_1(D, u4_struct_0(A)) =>  (r2_boolmark(A, C, D) => k7_relat_1(k3_boolmark(A, C, D), B)=k6_domain_1(k5_margrel1, k6_margrel1)) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_boolmark, axiom,  (! [A] :  (l1_petri(A) => m1_funct_2(k1_boolmark(A), u1_struct_0(A), k5_margrel1)) ) ).
fof(dt_k2_boolmark, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  &  (m1_subset_1(B, k1_boolmark(A)) & m1_subset_1(C, u4_struct_0(A))) )  => m2_funct_2(k2_boolmark(A, B, C), u1_struct_0(A), k5_margrel1, k1_boolmark(A))) ) ).
fof(dt_k3_boolmark, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  &  (m1_subset_1(B, k1_boolmark(A)) & m1_finseq_1(C, u4_struct_0(A))) )  => m2_funct_2(k3_boolmark(A, B, C), u1_struct_0(A), k5_margrel1, k1_boolmark(A))) ) ).
fof(fc1_bor_cant, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  =>  (v1_funct_1(k3_bor_cant(A, B)) &  (v2_funct_1(k3_bor_cant(A, B)) & v1_funct_2(k3_bor_cant(A, B), k4_ordinal1, k4_ordinal1)) ) ) ) ).
fof(fc2_bor_cant, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  =>  (v1_funct_1(k6_bor_cant(A, B)) &  (v2_funct_1(k6_bor_cant(A, B)) & v1_funct_2(k6_bor_cant(A, B), k4_ordinal1, k4_ordinal1)) ) ) ) ).
fof(fc3_bor_cant, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_funct_1(k4_bor_cant(A)) &  (v2_funct_1(k4_bor_cant(A)) & v1_funct_2(k4_bor_cant(A), k4_ordinal1, k4_ordinal1)) ) ) ) ).
fof(fc4_bor_cant, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v7_ordinal1(C) &  (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) ) ) ) )  =>  (v1_relat_1(k6_nat_1(D, C)) &  (v4_relat_1(k6_nat_1(D, C), k4_ordinal1) &  (v5_relat_1(k6_nat_1(D, C), B) &  (v1_funct_1(k6_nat_1(D, C)) & v1_partfun1(k6_nat_1(D, C), k4_ordinal1)) ) ) ) ) ) ).
fof(fc5_bor_cant, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) ) ) )  =>  (v5_relat_1(k7_bor_cant(A, C), B) &  (v1_funct_1(k7_bor_cant(A, C)) & v1_funct_2(k7_bor_cant(A, C), k4_ordinal1, k9_setfam_1(A))) ) ) ) ).
fof(fc6_bor_cant, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) ) ) )  =>  (v5_relat_1(k9_bor_cant(A, C), B) &  (v1_funct_1(k9_bor_cant(A, C)) & v1_funct_2(k9_bor_cant(A, C), k4_ordinal1, k9_setfam_1(A))) ) ) ) ).
fof(t1_bor_cant, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (r1_xxreal_0(B, 1) =>  (v1_abian(A) |  (r1_xxreal_0(B, k5_numbers) | r1_xxreal_0(k5_numbers, k3_real_1(k3_funct_2(k4_ordinal1, k1_numbers, k4_sin_cos(k1_real_1(B)), k1_nat_1(A, 1)), k3_funct_2(k4_ordinal1, k1_numbers, k4_sin_cos(k1_real_1(B)), k1_nat_1(A, 2))))) ) ) ) ) ) ) ).
fof(t2_bor_cant, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) => r1_xxreal_0(k2_xcmplx_0(1, A), k3_funct_2(k1_numbers, k1_numbers, k22_sin_cos, A))) ) ).
fof(d1_bor_cant, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (B=k2_bor_cant(A) <=>  (! [C] :  (v7_ordinal1(C) => k1_funct_1(B, C)=k4_series_1(k4_sin_cos(k4_xcmplx_0(k1_funct_1(A, C))))) ) ) ) ) ) ) ).
fof(t3_bor_cant, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  ( (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [E] :  (v7_ordinal1(E) => k1_funct_1(k1_series_3(k2_bor_cant(k8_prob_1(A, B, D, C))), E)=k1_funct_1(k22_sin_cos, k4_xcmplx_0(k1_funct_1(k3_series_1(k8_prob_1(A, B, D, C)), E)))) ) ) ) ) ) ) ) ) ) ).
fof(t4_bor_cant, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  ( (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [E] :  (v7_ordinal1(E) => r1_xxreal_0(k1_funct_1(k1_series_3(k8_prob_1(A, B, k2_prob_1(A, D), C)), E), k1_funct_1(k1_series_3(k2_bor_cant(k8_prob_1(A, B, D, C))), E))) ) ) ) ) ) ) ) ) ) ).
fof(d2_bor_cant, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  =>  (C=k3_bor_cant(A, B) <=>  (! [D] :  (v7_ordinal1(D) => k1_funct_1(C, D)=k5_xxreal_0(D, A, k2_xcmplx_0(D, B), D)) ) ) ) ) ) ) ) ) ).
fof(d3_bor_cant, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  =>  (B=k4_bor_cant(A) <=>  (! [C] :  (v7_ordinal1(C) => k1_funct_1(B, C)=k2_xcmplx_0(C, A)) ) ) ) ) ) ) ).
fof(d4_bor_cant, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  =>  (B=k5_bor_cant(A) <=>  (! [C] :  (v7_ordinal1(C) => k1_funct_1(B, C)=k1_bor_cant(k4_ordinal1, C, A, k5_numbers, 1)) ) ) ) ) ) ) ).
fof(d5_bor_cant, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  =>  (C=k6_bor_cant(A, B) <=>  (! [D] :  (v7_ordinal1(D) => k1_funct_1(C, D)=k5_xxreal_0(D, k1_nat_1(A, 1), k2_xcmplx_0(D, B), D)) ) ) ) ) ) ) ) ) ).
fof(t5_bor_cant, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (! [G] :  ( (v5_relat_1(G, B) &  (v1_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [H] :  ( (v5_relat_1(H, B) &  (v1_funct_1(H) &  (v1_funct_2(H, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (r2_funct_2(k4_ordinal1, k9_setfam_1(A), H, k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k9_setfam_1(A), k3_bor_cant(E, F), G)) =>  (r1_xxreal_0(D, E) | k1_funct_1(k1_series_3(k8_prob_1(A, B, H, C)), D)=k3_xcmplx_0(k1_funct_1(k1_series_3(k8_prob_1(A, B, G, C)), E), k1_funct_1(k1_series_3(k8_prob_1(A, B, k1_valued_0(k9_setfam_1(A), G, k1_nat_1(k2_xcmplx_0(E, F), 1)), C)), k6_xcmplx_0(k6_xcmplx_0(D, E), 1)))) ) ) ) ) )  &  (! [G] :  ( (v5_relat_1(G, B) &  (v1_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [H] :  ( (v5_relat_1(H, B) &  (v1_funct_1(H) &  (v1_funct_2(H, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [I] :  ( (v5_relat_1(I, B) &  (v1_funct_1(I) &  (v1_funct_2(I, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, k4_ordinal1, k4_ordinal1) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  =>  ( (r2_funct_2(k4_ordinal1, k9_setfam_1(A), I, k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k9_setfam_1(A), J, G)) & r2_funct_2(k4_ordinal1, k9_setfam_1(A), H, k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k9_setfam_1(A), k3_bor_cant(E, F), I)))  =>  (r1_xxreal_0(D, E) | k1_prob_2(A, B, k1_prob_3(A, H), D)=k8_subset_1(A, k1_prob_2(A, B, k1_prob_3(A, I), E), k1_funct_1(k1_prob_3(A, k1_valued_0(k9_setfam_1(A), I, k1_nat_1(k2_xcmplx_0(E, F), 1))), k6_xcmplx_0(k6_xcmplx_0(D, E), 1)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_bor_cant, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  ( (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (r1_bor_cant(A, B, C, D) <=>  (! [E] :  ( (v5_relat_1(E, B) &  (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  ( (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k4_ordinal1) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  &  (v2_funct_1(F) &  (! [G] :  (v7_ordinal1(G) => k1_prob_2(A, B, D, k1_funct_1(F, G))=k1_prob_2(A, B, E, G)) ) ) ) )  =>  (! [F] :  (v7_ordinal1(F) => k1_funct_1(k1_series_3(k8_prob_1(A, B, E, C)), F)=k3_funct_2(B, k1_numbers, C, k1_prob_2(A, B, k1_prob_3(A, E), F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_bor_cant, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  ( (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  (r1_bor_cant(A, B, C, D) =>  (r1_xxreal_0(E, F) | k1_funct_1(C, k8_subset_1(A, k1_prob_2(A, B, k1_prob_3(A, k2_prob_1(A, D)), F), k1_funct_1(k1_prob_3(A, k1_valued_0(k9_setfam_1(A), D, k1_nat_1(k2_xcmplx_0(F, G), 1))), k6_xcmplx_0(k6_xcmplx_0(E, F), 1))))=k3_xcmplx_0(k1_funct_1(k1_series_3(k8_prob_1(A, B, k2_prob_1(A, D), C)), F), k1_funct_1(k1_series_3(k8_prob_1(A, B, k1_valued_0(k9_setfam_1(A), D, k1_nat_1(k2_xcmplx_0(F, G), 1)), C)), k6_xcmplx_0(k6_xcmplx_0(E, F), 1)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_bor_cant, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [D] :  (v7_ordinal1(D) => k1_prob_2(A, B, k1_prob_3(A, k2_prob_1(A, C)), D)=k3_subset_1(A, k1_prob_2(A, B, k2_prob_3(A, C), D))) ) ) ) ) ) ) ) ).
fof(t8_bor_cant, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  ( (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [E] :  (v7_ordinal1(E) => k3_funct_2(B, k1_numbers, C, k1_prob_2(A, B, k1_prob_3(A, k2_prob_1(A, D)), E))=k6_xcmplx_0(1, k3_funct_2(B, k1_numbers, C, k1_prob_2(A, B, k2_prob_3(A, D), E)))) ) ) ) ) ) ) ) ) ) ).
fof(d7_bor_cant, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (C=k7_bor_cant(A, B) <=>  (! [D] :  (v7_ordinal1(D) => k1_funct_1(C, D)=k1_prob_1(A, k1_valued_0(k9_setfam_1(A), B, D))) ) ) ) ) ) ) ) ).
fof(d8_bor_cant, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  => k8_bor_cant(A, B, C)=k2_prob_2(A, B, k7_bor_cant(A, C))) ) ) ) ) ) ).
fof(d9_bor_cant, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (C=k9_bor_cant(A, B) <=>  (! [D] :  (v7_ordinal1(D) => k1_funct_1(C, D)=k3_prob_1(A, k1_valued_0(k9_setfam_1(A), B, D))) ) ) ) ) ) ) ) ).
fof(d10_bor_cant, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  => k10_bor_cant(A, B, C)=k1_prob_1(A, k9_bor_cant(A, C))) ) ) ) ) ) ).
fof(t9_bor_cant, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [D] :  (v7_ordinal1(D) => k1_prob_2(A, B, k9_bor_cant(A, k2_prob_1(A, C)), D)=k3_subset_1(A, k1_prob_2(A, B, k7_bor_cant(A, C), D))) ) ) ) ) ) ) ) ).
fof(t10_bor_cant, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  ( (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [E] :  (v7_ordinal1(E) =>  (r1_bor_cant(A, B, C, D) => k3_funct_2(B, k1_numbers, C, k1_prob_2(A, B, k1_prob_3(A, k2_prob_1(A, D)), E))=k1_funct_1(k1_series_3(k8_prob_1(A, B, k2_prob_1(A, D), C)), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_bor_cant, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (r2_funct_2(k4_ordinal1, k9_setfam_1(A), k4_setlim_1(A, B), k7_bor_cant(A, B)) & r2_funct_2(k4_ordinal1, k9_setfam_1(A), k2_setlim_1(A, B), k9_bor_cant(A, B))) ) ) ) ).
fof(t12_bor_cant, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (r2_funct_2(k4_ordinal1, k9_setfam_1(A), k6_setlim_1(A, B, C), k7_bor_cant(A, C)) & r2_funct_2(k4_ordinal1, k9_setfam_1(A), k5_setlim_1(A, B, C), k9_bor_cant(A, C))) ) ) ) ) ) ) ).
fof(d11_bor_cant, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  ( (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (E=k11_bor_cant(A, B, C, D) <=>  (! [F] :  (v7_ordinal1(F) => k1_funct_1(E, F)=k4_series_1(k8_prob_1(A, B, k1_valued_0(k9_setfam_1(A), D, F), C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_bor_cant, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  ( (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (v2_comseq_2(k3_series_1(k8_prob_1(A, B, D, C))) =>  (k3_funct_2(B, k1_numbers, C, k8_bor_cant(A, B, D))=k5_numbers &  (k1_seq_2(k11_bor_cant(A, B, C, D))=k5_numbers & v2_comseq_2(k11_bor_cant(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_bor_cant, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  ( (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(C))))) )  =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( ~ ( ( (? [G] :  (v7_ordinal1(G) & r2_hidden(F, k1_funct_1(k1_valued_0(k9_setfam_1(C), D, E), G))) )  &  (! [G] :  (v7_ordinal1(G) =>  ~ ( (r1_xxreal_0(E, G) & r2_hidden(F, k1_funct_1(D, G))) ) ) ) ) )  &  ~ ( ( (? [G] :  (v7_ordinal1(G) &  (r1_xxreal_0(E, G) & r2_hidden(F, k1_funct_1(D, G))) ) )  &  (! [G] :  (v7_ordinal1(G) =>  ~ (r2_hidden(F, k1_funct_1(k1_valued_0(k9_setfam_1(C), D, E), G))) ) ) ) ) ) ) ) ) ) ) )  &  ( (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(C))))) )  =>  (! [E] :  (r2_hidden(E, k3_prob_1(C, k7_bor_cant(C, D))) <=>  (! [F] :  (v7_ordinal1(F) =>  (? [G] :  (v7_ordinal1(G) &  (r1_xxreal_0(F, G) & r2_hidden(E, k1_funct_1(D, G))) ) ) ) ) ) ) ) ) )  &  ( (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [D] :  (r2_hidden(D, k2_prob_2(A, B, k7_bor_cant(A, C))) <=>  (! [E] :  (v7_ordinal1(E) =>  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(E, F) & r2_hidden(D, k1_prob_2(A, B, C, F))) ) ) ) ) ) ) ) )  &  ( (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(C))))) )  =>  (! [E] :  (r2_hidden(E, k1_prob_1(C, k9_bor_cant(C, D))) <=>  (? [F] :  (v7_ordinal1(F) &  (! [G] :  (v7_ordinal1(G) =>  (r1_xxreal_0(F, G) => r2_hidden(E, k1_funct_1(D, G))) ) ) ) ) ) ) ) ) )  &  ( (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [D] :  (r2_hidden(D, k1_prob_1(A, k9_bor_cant(A, C))) <=>  (? [E] :  (v7_ordinal1(E) &  (! [F] :  (v7_ordinal1(F) =>  (r1_xxreal_0(E, F) => r2_hidden(D, k1_prob_2(A, B, C, F))) ) ) ) ) ) ) ) )  &  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [D] :  (m1_subset_1(D, A) =>  (r2_hidden(D, k1_prob_1(A, k9_bor_cant(A, k2_prob_1(A, C)))) <=>  (? [E] :  (v7_ordinal1(E) &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r1_xxreal_0(E, F) & r2_hidden(D, k1_prob_2(A, B, C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_bor_cant, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  ( (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (k4_kurato_0(A, D)=k8_bor_cant(A, B, D) &  (k3_kurato_0(A, D)=k10_bor_cant(A, B, D) &  (k10_bor_cant(A, B, k2_prob_1(A, D))=k3_subset_1(A, k8_bor_cant(A, B, D)) &  (k3_real_1(k3_funct_2(B, k1_numbers, C, k10_bor_cant(A, B, k2_prob_1(A, D))), k3_funct_2(B, k1_numbers, C, k8_bor_cant(A, B, D)))=1 & k2_xcmplx_0(k1_funct_1(C, k3_kurato_0(A, k2_prob_1(A, D))), k1_funct_1(C, k4_kurato_0(A, D)))=1) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_bor_cant, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  ( (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  ( (v2_comseq_2(k3_series_1(k8_prob_1(A, B, D, C))) =>  (k1_funct_1(C, k4_kurato_0(A, D))=k5_numbers & k1_funct_1(C, k3_kurato_0(A, k2_prob_1(A, D)))=1) )  &  ( (r1_bor_cant(A, B, C, D) & v1_limfunc1(k3_series_1(k8_prob_1(A, B, D, C))))  =>  (k1_funct_1(C, k3_kurato_0(A, k2_prob_1(A, D)))=k5_numbers & k1_funct_1(C, k4_kurato_0(A, D))=1) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_bor_cant, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  ( (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (r1_bor_cant(A, B, C, D) =>  (v2_comseq_2(k3_series_1(k8_prob_1(A, B, D, C))) |  (k1_funct_1(C, k3_kurato_0(A, k2_prob_1(A, D)))=k5_numbers & k1_funct_1(C, k4_kurato_0(A, D))=1) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_bor_cant, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  ( (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (r1_bor_cant(A, B, C, D) =>  ( (k1_funct_1(C, k3_kurato_0(A, k2_prob_1(A, D)))=k5_numbers | k1_funct_1(C, k3_kurato_0(A, k2_prob_1(A, D)))=1)  &  (k1_funct_1(C, k4_kurato_0(A, D))=k5_numbers | k1_funct_1(C, k4_kurato_0(A, D))=1) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_bor_cant, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  ( (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) => r1_xxreal_0(k1_funct_1(k3_series_1(k8_prob_1(A, B, k1_valued_0(k9_setfam_1(A), D, k1_nat_1(F, 1)), C)), E), k6_xcmplx_0(k1_funct_1(k3_series_1(k8_prob_1(A, B, D, C)), k2_xcmplx_0(k1_nat_1(F, 1), E)), k1_funct_1(k3_series_1(k8_prob_1(A, B, D, C)), F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_bor_cant, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  ( (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [E] :  (v7_ordinal1(E) => k3_funct_2(B, k1_numbers, C, k1_prob_2(A, B, k9_bor_cant(A, k2_prob_1(A, D)), E))=k6_xcmplx_0(1, k3_funct_2(B, k1_numbers, C, k1_prob_2(A, B, k7_bor_cant(A, D), E)))) ) ) ) ) ) ) ) ) ) ).
fof(t21_bor_cant, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  ( (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_bor_cant(A, B, C, k2_prob_1(A, D)) => k3_funct_2(B, k1_numbers, C, k1_prob_2(A, B, k1_prob_3(A, D), E))=k1_funct_1(k1_series_3(k8_prob_1(A, B, D, C)), E))  &  (r1_bor_cant(A, B, C, D) => k6_xcmplx_0(1, k3_funct_2(B, k1_numbers, C, k1_prob_2(A, B, k2_prob_3(A, D), E)))=k1_funct_1(k1_series_3(k8_prob_1(A, B, k2_prob_1(A, D), C)), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_bor_cant, axiom,  (! [A, B, C, D, E] :  ( (v1_xxreal_0(B) &  (v1_xxreal_0(C) &  (m1_subset_1(D, A) & m1_subset_1(E, A)) ) )  => m1_subset_1(k1_bor_cant(A, B, C, D, E), A)) ) ).
fof(redefinition_k1_bor_cant, axiom,  (! [A, B, C, D, E] :  ( (v1_xxreal_0(B) &  (v1_xxreal_0(C) &  (m1_subset_1(D, A) & m1_subset_1(E, A)) ) )  => k1_bor_cant(A, B, C, D, E)=k5_xxreal_0(B, C, D, E)) ) ).
fof(dt_k2_bor_cant, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_funct_1(k2_bor_cant(A)) &  (v1_funct_2(k2_bor_cant(A), k4_ordinal1, k1_numbers) & m1_subset_1(k2_bor_cant(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k3_bor_cant, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  =>  (v1_funct_1(k3_bor_cant(A, B)) &  (v1_funct_2(k3_bor_cant(A, B), k4_ordinal1, k4_ordinal1) & m1_subset_1(k3_bor_cant(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) ) ) ).
fof(dt_k4_bor_cant, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_funct_1(k4_bor_cant(A)) &  (v1_funct_2(k4_bor_cant(A), k4_ordinal1, k4_ordinal1) & m1_subset_1(k4_bor_cant(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) ) ) ).
fof(dt_k5_bor_cant, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_funct_1(k5_bor_cant(A)) &  (v1_funct_2(k5_bor_cant(A), k4_ordinal1, k4_ordinal1) & m1_subset_1(k5_bor_cant(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) ) ) ).
fof(dt_k6_bor_cant, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  =>  (v1_funct_1(k6_bor_cant(A, B)) &  (v1_funct_2(k6_bor_cant(A, B), k4_ordinal1, k4_ordinal1) & m1_subset_1(k6_bor_cant(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) ) ) ).
fof(dt_k7_bor_cant, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (v1_funct_1(k7_bor_cant(A, B)) &  (v1_funct_2(k7_bor_cant(A, B), k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(k7_bor_cant(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) ) ) ).
fof(dt_k8_bor_cant, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) ) ) )  => m1_prob_1(k8_bor_cant(A, B, C), A, B)) ) ).
fof(dt_k9_bor_cant, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (v1_funct_1(k9_bor_cant(A, B)) &  (v1_funct_2(k9_bor_cant(A, B), k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(k9_bor_cant(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) ) ) ).
fof(dt_k10_bor_cant, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) ) ) )  => m1_prob_1(k10_bor_cant(A, B, C), A, B)) ) ).
fof(dt_k11_bor_cant, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m2_prob_1(C, A, B) &  (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) ) ) ) )  =>  (v1_funct_1(k11_bor_cant(A, B, C, D)) &  (v1_funct_2(k11_bor_cant(A, B, C, D), k4_ordinal1, k1_numbers) & m1_subset_1(k11_bor_cant(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(fc1_borsuk_1, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  &  ( ( ~ (v2_struct_0(C))  &  (v2_pre_topc(C) & l1_pre_topc(C)) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v5_pre_topc(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  &  (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) &  (v5_pre_topc(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) ) ) )  =>  (v1_funct_1(k3_relat_1(D, E)) &  (v1_funct_2(k3_relat_1(D, E), u1_struct_0(A), u1_struct_0(C)) & v5_pre_topc(k3_relat_1(D, E), A, C)) ) ) ) ).
fof(fc2_borsuk_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  & m1_subset_1(B, u1_struct_0(A)))  => v2_compts_1(k1_tarski(B), A)) ) ).
fof(fc3_borsuk_1, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  &  (v2_struct_0(B) &  (v2_pre_topc(B) & l1_pre_topc(B)) ) )  =>  (v2_struct_0(k2_borsuk_1(A, B)) &  (v1_pre_topc(k2_borsuk_1(A, B)) & v2_pre_topc(k2_borsuk_1(A, B))) ) ) ) ).
fof(fc4_borsuk_1, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  &  (v2_struct_0(B) &  (v2_pre_topc(B) & l1_pre_topc(B)) ) )  =>  (v2_struct_0(k2_borsuk_1(B, A)) &  (v1_pre_topc(k2_borsuk_1(B, A)) & v2_pre_topc(k2_borsuk_1(B, A))) ) ) ) ).
fof(fc5_borsuk_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) ) )  =>  ( ~ (v2_struct_0(k2_borsuk_1(A, B)))  &  (v1_pre_topc(k2_borsuk_1(A, B)) & v2_pre_topc(k2_borsuk_1(A, B))) ) ) ) ).
fof(fc6_borsuk_1, axiom,  (! [A, B, C] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  &  ( (v2_pre_topc(B) & l1_pre_topc(B))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A, B))))) )  => v1_tops_2(k7_borsuk_1(A, B, C), k2_borsuk_1(A, B))) ) ).
fof(fc7_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_xboole_0(k10_borsuk_1(A))) ) ) ).
fof(fc8_borsuk_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  & m1_eqrel_1(B, u1_struct_0(A)))  =>  ( ~ (v2_struct_0(k11_borsuk_1(A, B)))  &  (v1_pre_topc(k11_borsuk_1(A, B)) & v2_pre_topc(k11_borsuk_1(A, B))) ) ) ) ).
fof(rc1_borsuk_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (? [B] :  (m1_pre_topc(B, A) &  (v1_pre_topc(B) &  (v2_pre_topc(B) & v1_borsuk_1(B, A)) ) ) ) ) ) ).
fof(rc2_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (? [B] :  (m1_pre_topc(B, A) &  ( ~ (v2_struct_0(B))  &  (v1_pre_topc(B) &  (v2_pre_topc(B) & v1_borsuk_1(B, A)) ) ) ) ) ) ) ).
fof(rc3_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (? [B] :  (m1_borsuk_1(B, A) &  ( ~ (v1_xboole_0(B))  &  (v1_setfam_1(B) & v2_borsuk_1(B, A)) ) ) ) ) ) ).
fof(fc9_borsuk_1, axiom,  ( ~ (v2_struct_0(k17_borsuk_1))  &  (v1_pre_topc(k17_borsuk_1) & v2_pre_topc(k17_borsuk_1)) ) ).
fof(t1_borsuk_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_pre_topc(B, A) => r1_tarski(u1_struct_0(B), u1_struct_0(A))) ) ) ) ).
fof(d1_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v5_pre_topc(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_connsp_2(E, B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D)) =>  (? [F] :  (m1_connsp_2(F, A, D) & r1_tarski(k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, F), E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v5_pre_topc(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) => r1_tarski(k8_relset_1(u1_struct_0(A), u1_struct_0(B), C, k1_tops_1(B, D)), k1_tops_1(A, k8_relset_1(u1_struct_0(A), u1_struct_0(B), C, D)))) ) ) ) ) ) ) ) ).
fof(t3_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v5_pre_topc(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (! [E] :  (m1_connsp_2(E, B, C) => m2_connsp_2(k8_relset_1(u1_struct_0(A), u1_struct_0(B), D, E), A, k8_relset_1(u1_struct_0(A), u1_struct_0(B), D, k6_domain_1(u1_struct_0(B), C)))) ) ) ) ) ) ) ) ) ) ).
fof(t4_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m2_connsp_2(D, A, C) =>  (r1_tarski(B, C) => m2_connsp_2(D, A, B)) ) ) ) ) ) ) ) ) ).
fof(t5_borsuk_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A, B)))) =>  (v3_pre_topc(C, k2_borsuk_1(A, B)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A, B))))) &  (C=k5_setfam_1(u1_struct_0(k2_borsuk_1(A, B)), D) &  (! [E] :  ~ ( (r2_tarski(E, D) &  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(B))) =>  ~ ( (E=k8_mcart_1(u1_struct_0(A), u1_struct_0(B), F, G) &  (v3_pre_topc(F, A) & v3_pre_topc(G, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_borsuk_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  ( (v3_pre_topc(C, A) & v3_pre_topc(D, B))  => v3_pre_topc(k3_borsuk_1(A, B, C, D), k2_borsuk_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(t7_borsuk_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) => k1_tops_1(k2_borsuk_1(A, B), k3_borsuk_1(A, B, C, D))=k3_borsuk_1(A, B, k1_tops_1(A, C), k1_tops_1(B, D))) ) ) ) ) ) ) ) ).
fof(t8_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_connsp_2(E, A, C) =>  (! [F] :  (m1_connsp_2(F, B, D) => m1_connsp_2(k3_borsuk_1(A, B, E, F), k2_borsuk_1(A, B), k4_borsuk_1(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (! [E] :  (m2_connsp_2(E, A, C) =>  (! [F] :  (m2_connsp_2(F, B, D) => m2_connsp_2(k3_borsuk_1(A, B, E, F), k2_borsuk_1(A, B), k3_borsuk_1(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_borsuk_1(A, B))) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) & C=k4_borsuk_1(A, B, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(t11_borsuk_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A, B)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A, B)))) =>  (r1_tarski(C, D) => r1_tarski(k7_borsuk_1(A, B, C), k7_borsuk_1(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t12_borsuk_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A, B)))) => r1_tarski(k5_setfam_1(u1_struct_0(k2_borsuk_1(A, B)), k7_borsuk_1(A, B, C)), C)) ) ) ) ) ) ).
fof(t13_borsuk_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A, B)))) =>  (v3_pre_topc(C, k2_borsuk_1(A, B)) => C=k5_setfam_1(u1_struct_0(k2_borsuk_1(A, B)), k7_borsuk_1(A, B, C))) ) ) ) ) ) ) ).
fof(t14_borsuk_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A, B)))) => k1_tops_1(k2_borsuk_1(A, B), C)=k5_setfam_1(u1_struct_0(k2_borsuk_1(A, B)), k7_borsuk_1(A, B, C))) ) ) ) ) ) ).
fof(d4_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  => k8_borsuk_1(A, B)=k2_funct_3(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(A), k9_funct_3(u1_struct_0(A), u1_struct_0(B)))) ) ) ) ).
fof(d5_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  => k9_borsuk_1(A, B)=k2_funct_3(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(B), k10_funct_3(u1_struct_0(A), u1_struct_0(B)))) ) ) ) ).
fof(t15_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A, B)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A, B))))) =>  ( (! [E] :  (r2_tarski(E, D) =>  (r1_tarski(E, C) &  (? [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))) &  (? [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(B))) & E=k3_borsuk_1(A, B, F, G)) ) ) ) ) ) )  => r1_tarski(k3_borsuk_1(A, B, k5_setfam_1(u1_struct_0(A), k7_relset_1(k9_setfam_1(u1_struct_0(k2_borsuk_1(A, B))), k9_setfam_1(u1_struct_0(A)), k8_borsuk_1(A, B), D)), k6_setfam_1(u1_struct_0(B), k7_relset_1(k9_setfam_1(u1_struct_0(k2_borsuk_1(A, B))), k9_setfam_1(u1_struct_0(B)), k9_borsuk_1(A, B), D))), C)) ) ) ) ) ) ) ) ) ).
fof(t16_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A, B))))) =>  (! [D] :  ~ ( (r2_tarski(D, k7_relset_1(k9_setfam_1(u1_struct_0(k2_borsuk_1(A, B))), k9_setfam_1(u1_struct_0(A)), k8_borsuk_1(A, B), C)) &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A, B)))) =>  ~ ( (r2_tarski(E, C) & D=k7_relset_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(A), k9_funct_3(u1_struct_0(A), u1_struct_0(B)), E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A, B))))) =>  (! [D] :  ~ ( (r2_tarski(D, k7_relset_1(k9_setfam_1(u1_struct_0(k2_borsuk_1(A, B))), k9_setfam_1(u1_struct_0(B)), k9_borsuk_1(A, B), C)) &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A, B)))) =>  ~ ( (r2_tarski(E, C) & D=k7_relset_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(B), k10_funct_3(u1_struct_0(A), u1_struct_0(B)), E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A, B)))) =>  (v3_pre_topc(C, k2_borsuk_1(A, B)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) =>  ( (D=k7_relset_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(A), k9_funct_3(u1_struct_0(A), u1_struct_0(B)), C) => v3_pre_topc(D, A))  &  (E=k7_relset_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(B), k10_funct_3(u1_struct_0(A), u1_struct_0(B)), C) => v3_pre_topc(E, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A, B))))) =>  (v1_tops_2(C, k2_borsuk_1(A, B)) =>  (v1_tops_2(k7_relset_1(k9_setfam_1(u1_struct_0(k2_borsuk_1(A, B))), k9_setfam_1(u1_struct_0(A)), k8_borsuk_1(A, B), C), A) & v1_tops_2(k7_relset_1(k9_setfam_1(u1_struct_0(k2_borsuk_1(A, B))), k9_setfam_1(u1_struct_0(B)), k9_borsuk_1(A, B), C), B)) ) ) ) ) ) ) ) ).
fof(t20_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A, B))))) =>  ( (k7_relset_1(k9_setfam_1(u1_struct_0(k2_borsuk_1(A, B))), k9_setfam_1(u1_struct_0(A)), k8_borsuk_1(A, B), C)=k1_xboole_0 | k7_relset_1(k9_setfam_1(u1_struct_0(k2_borsuk_1(A, B))), k9_setfam_1(u1_struct_0(B)), k9_borsuk_1(A, B), C)=k1_xboole_0)  => C=k1_xboole_0) ) ) ) ) ) ) ).
fof(t21_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A, B))))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) =>  (m1_setfam_1(C, k3_borsuk_1(A, B, D, E)) =>  ( ( ~ (E=k1_xboole_0)  => m1_setfam_1(k7_relset_1(k9_setfam_1(u1_struct_0(k2_borsuk_1(A, B))), k9_setfam_1(u1_struct_0(A)), k8_borsuk_1(A, B), C), D))  &  ( ~ (D=k1_xboole_0)  => m1_setfam_1(k7_relset_1(k9_setfam_1(u1_struct_0(k2_borsuk_1(A, B))), k9_setfam_1(u1_struct_0(B)), k9_borsuk_1(A, B), C), E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_borsuk_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (m1_setfam_1(C, D) &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ~ ( (r1_tarski(E, C) &  (m1_setfam_1(E, D) &  (! [F] :  ~ ( (r2_tarski(F, E) & r1_xboole_0(F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A, B))))) =>  ~ ( (v1_finset_1(C) &  (r1_tarski(C, k7_relset_1(k9_setfam_1(u1_struct_0(k2_borsuk_1(A, B))), k9_setfam_1(u1_struct_0(A)), k8_borsuk_1(A, B), D)) &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A, B))))) =>  ~ ( (r1_tarski(E, D) &  (v1_finset_1(E) & C=k7_relset_1(k9_setfam_1(u1_struct_0(k2_borsuk_1(A, B))), k9_setfam_1(u1_struct_0(A)), k8_borsuk_1(A, B), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  ( ~ (k3_borsuk_1(A, B, C, D)=k1_xboole_0)  =>  (k3_funct_2(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A, B))), k9_setfam_1(u1_struct_0(A)), k8_borsuk_1(A, B), k3_borsuk_1(A, B, C, D))=C & k3_funct_2(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A, B))), k9_setfam_1(u1_struct_0(B)), k9_borsuk_1(A, B), k3_borsuk_1(A, B, C, D))=D) ) ) ) ) ) ) ) ) ) ).
fof(t25_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_compts_1(D, A) =>  (! [E] :  (m2_connsp_2(E, k2_borsuk_1(A, B), k3_borsuk_1(A, B, D, k6_domain_1(u1_struct_0(B), C))) =>  (? [F] :  (m2_connsp_2(F, A, D) &  (? [G] :  (m1_connsp_2(G, B, C) & r1_tarski(k6_borsuk_1(A, B, D, C, F, G), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_borsuk_1, axiom,  (! [A] :  (l1_struct_0(A) => k10_borsuk_1(A)=k8_eqrel_1(u1_struct_0(A), k6_partfun1(u1_struct_0(A)))) ) ).
fof(t26_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_tarski(B, k10_borsuk_1(A)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ (B=k6_domain_1(u1_struct_0(A), C)) ) ) ) ) ) ) ) ) ).
fof(t27_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_eqrel_1(B, u1_struct_0(A)))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (r2_tarski(k3_tarski(C), u1_pre_topc(A)) <=> r2_tarski(C, u1_pre_topc(k11_borsuk_1(A, B)))) ) ) ) ) ) ) ).
fof(d8_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_eqrel_1(B, u1_struct_0(A)))  => k12_borsuk_1(A, B)=k14_eqrel_1(u1_struct_0(A), B)) ) ) ) ).
fof(t28_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_eqrel_1(B, u1_struct_0(A)))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_tarski(C, k3_funct_2(u1_struct_0(A), u1_struct_0(k11_borsuk_1(A, B)), k12_borsuk_1(A, B), C))) ) ) ) ) ) ).
fof(t29_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_eqrel_1(B, u1_struct_0(A)))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k11_borsuk_1(A, B))) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & k3_funct_2(u1_struct_0(A), u1_struct_0(k11_borsuk_1(A, B)), k12_borsuk_1(A, B), D)=C) ) ) ) ) ) ) ) ).
fof(t30_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_eqrel_1(B, u1_struct_0(A)))  => k2_relset_1(u1_struct_0(k11_borsuk_1(A, B)), k12_borsuk_1(A, B))=u1_struct_0(k11_borsuk_1(A, B))) ) ) ) ).
fof(t31_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m1_pre_topc(B, A))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_eqrel_1(C, u1_struct_0(B)))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_tarski(D, k13_borsuk_1(A, B, C)) &  ( ~ (r2_tarski(D, C))  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (r2_tarski(E, k2_struct_0(B)))  & D=k6_domain_1(u1_struct_0(A), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m1_pre_topc(B, A))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_eqrel_1(C, u1_struct_0(B)))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ~ (r2_tarski(D, u1_struct_0(B)))  => r2_tarski(k6_domain_1(u1_struct_0(A), D), k13_borsuk_1(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t33_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m1_pre_topc(B, A))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_eqrel_1(C, u1_struct_0(B)))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, u1_struct_0(B)) => k3_funct_2(u1_struct_0(A), u1_struct_0(k11_borsuk_1(A, k13_borsuk_1(A, B, C))), k12_borsuk_1(A, k13_borsuk_1(A, B, C)), D)=k1_funct_1(k12_borsuk_1(B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t34_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m1_pre_topc(B, A))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_eqrel_1(C, u1_struct_0(B)))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ~ (r2_tarski(D, u1_struct_0(B)))  => k3_funct_2(u1_struct_0(A), u1_struct_0(k11_borsuk_1(A, k13_borsuk_1(A, B, C))), k12_borsuk_1(A, k13_borsuk_1(A, B, C)), D)=k6_domain_1(u1_struct_0(A), D)) ) ) ) ) ) ) ) ) ).
fof(t35_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m1_pre_topc(B, A))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_eqrel_1(C, u1_struct_0(B)))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (k3_funct_2(u1_struct_0(A), u1_struct_0(k11_borsuk_1(A, k13_borsuk_1(A, B, C))), k12_borsuk_1(A, k13_borsuk_1(A, B, C)), D)=k3_funct_2(u1_struct_0(A), u1_struct_0(k11_borsuk_1(A, k13_borsuk_1(A, B, C))), k12_borsuk_1(A, k13_borsuk_1(A, B, C)), E) =>  (r2_tarski(D, u1_struct_0(B)) | D=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m1_pre_topc(B, A))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_eqrel_1(C, u1_struct_0(B)))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(k3_funct_2(u1_struct_0(A), u1_struct_0(k11_borsuk_1(A, k13_borsuk_1(A, B, C))), k12_borsuk_1(A, k13_borsuk_1(A, B, C)), D), u1_struct_0(k11_borsuk_1(B, C))) => r2_tarski(D, u1_struct_0(B))) ) ) ) ) ) ) ) ) ).
fof(t37_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m1_pre_topc(B, A))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_eqrel_1(C, u1_struct_0(B)))  =>  (! [D] :  (r2_tarski(D, u1_struct_0(B)) => r2_tarski(k1_funct_1(k12_borsuk_1(A, k13_borsuk_1(A, B, C)), D), u1_struct_0(k11_borsuk_1(B, C)))) ) ) ) ) ) ) ) ).
fof(d10_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_eqrel_1(B, u1_struct_0(A)))  =>  (m1_borsuk_1(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(C, B) =>  (! [D] :  (m2_connsp_2(D, A, C) =>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) &  (v3_pre_topc(E, A) &  (r1_tarski(C, E) &  (r1_tarski(E, D) &  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(F, B) =>  (r1_xboole_0(F, E) | r1_tarski(F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_borsuk_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k11_borsuk_1(A, B))) =>  (! [D] :  (m2_connsp_2(D, A, k8_relset_1(u1_struct_0(A), u1_struct_0(k11_borsuk_1(A, B)), k12_borsuk_1(A, B), k6_domain_1(u1_struct_0(k11_borsuk_1(A, B)), C))) => m1_connsp_2(k7_relset_1(u1_struct_0(A), u1_struct_0(k11_borsuk_1(A, B)), k12_borsuk_1(A, B), D), k11_borsuk_1(A, B), C)) ) ) ) ) ) ) ) ).
fof(t39_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => m1_borsuk_1(k10_borsuk_1(A), A)) ) ).
fof(d11_borsuk_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_pre_topc(B, A) =>  (v1_borsuk_1(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (C=u1_struct_0(B) => v4_pre_topc(C, A)) ) ) ) ) ) ) ) ).
fof(d12_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_borsuk_1(B, A) =>  (v2_borsuk_1(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(C, B) => v2_compts_1(C, A)) ) ) ) ) ) ) ) ).
fof(d13_borsuk_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (A=k17_borsuk_1 <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(k7_metric_1)))) =>  (B=k1_rcomp_1(k5_numbers, 1) => A=k1_pre_topc(k3_pcomps_1(k7_metric_1), B)) ) ) ) ) ) ).
fof(t40_borsuk_1, axiom, u1_struct_0(k17_borsuk_1)=k1_rcomp_1(k5_numbers, 1)).
fof(d14_borsuk_1, axiom, k18_borsuk_1=k5_numbers).
fof(d15_borsuk_1, axiom, k19_borsuk_1=1).
fof(d16_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m1_pre_topc(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v3_borsuk_1(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, u1_struct_0(B)) => k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D)=D) ) ) ) ) ) ) ) ) ) ).
fof(d17_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m1_pre_topc(B, A))  =>  (r1_borsuk_1(A, B) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v5_pre_topc(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  & v3_borsuk_1(C, A, B)) ) ) ) ) ) ) ).
fof(d18_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m1_pre_topc(B, A))  =>  (r2_borsuk_1(A, B) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k2_borsuk_1(A, k17_borsuk_1)), u1_struct_0(A)) &  (v5_pre_topc(C, k2_borsuk_1(A, k17_borsuk_1), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A, k17_borsuk_1)), u1_struct_0(A))))) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k3_funct_2(u1_struct_0(k2_borsuk_1(A, k17_borsuk_1)), u1_struct_0(A), C, k4_borsuk_1(A, k17_borsuk_1, D, k18_borsuk_1))=D &  (r2_tarski(k3_funct_2(u1_struct_0(k2_borsuk_1(A, k17_borsuk_1)), u1_struct_0(A), C, k4_borsuk_1(A, k17_borsuk_1, D, k19_borsuk_1)), u1_struct_0(B)) &  (r2_tarski(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k17_borsuk_1)) => k3_funct_2(u1_struct_0(k2_borsuk_1(A, k17_borsuk_1)), u1_struct_0(A), C, k4_borsuk_1(A, k17_borsuk_1, D, E))=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_borsuk_1(B, A) & m1_pre_topc(B, A)) )  =>  (! [C] :  ( (v2_borsuk_1(C, B) & m1_borsuk_1(C, B))  =>  (r1_borsuk_1(A, B) => r1_borsuk_1(k11_borsuk_1(A, k15_borsuk_1(A, B, C)), k16_borsuk_1(A, B, C))) ) ) ) ) ) ) ).
fof(t42_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_borsuk_1(B, A) & m1_pre_topc(B, A)) )  =>  (! [C] :  ( (v2_borsuk_1(C, B) & m1_borsuk_1(C, B))  =>  (r2_borsuk_1(A, B) => r2_borsuk_1(k11_borsuk_1(A, k15_borsuk_1(A, B, C)), k16_borsuk_1(A, B, C))) ) ) ) ) ) ) ).
fof(t43_borsuk_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( (r1_xxreal_0(k5_numbers, A) & r1_xxreal_0(A, 1))  <=> r2_hidden(A, u1_struct_0(k17_borsuk_1))) ) ) ).
fof(dt_k1_borsuk_1, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  &  (m1_subset_1(C, u1_struct_0(B)) &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v5_pre_topc(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  & m1_connsp_2(E, B, C)) ) ) )  => m2_connsp_2(k1_borsuk_1(A, B, C, D, E), A, k8_relset_1(u1_struct_0(A), u1_struct_0(B), D, k6_domain_1(u1_struct_0(B), C)))) ) ).
fof(redefinition_k1_borsuk_1, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  &  (m1_subset_1(C, u1_struct_0(B)) &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v5_pre_topc(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  & m1_connsp_2(E, B, C)) ) ) )  => k1_borsuk_1(A, B, C, D, E)=k8_relat_1(D, E)) ) ).
fof(dt_k2_borsuk_1, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (v1_pre_topc(k2_borsuk_1(A, B)) &  (v2_pre_topc(k2_borsuk_1(A, B)) & l1_pre_topc(k2_borsuk_1(A, B))) ) ) ) ).
fof(dt_k3_borsuk_1, axiom,  (! [A, B, C, D] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  &  ( (v2_pre_topc(B) & l1_pre_topc(B))  &  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) )  => m1_subset_1(k3_borsuk_1(A, B, C, D), k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A, B))))) ) ).
fof(redefinition_k3_borsuk_1, axiom,  (! [A, B, C, D] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  &  ( (v2_pre_topc(B) & l1_pre_topc(B))  &  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) )  => k3_borsuk_1(A, B, C, D)=k2_zfmisc_1(C, D)) ) ).
fof(dt_k4_borsuk_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, u1_struct_0(B))) ) )  => m1_subset_1(k4_borsuk_1(A, B, C, D), u1_struct_0(k2_borsuk_1(A, B)))) ) ).
fof(redefinition_k4_borsuk_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, u1_struct_0(B))) ) )  => k4_borsuk_1(A, B, C, D)=k4_tarski(C, D)) ) ).
fof(dt_k5_borsuk_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  &  (m1_subset_1(C, u1_struct_0(A)) &  (m1_subset_1(D, u1_struct_0(B)) &  (m1_connsp_2(E, A, C) & m1_connsp_2(F, B, D)) ) ) ) )  => m1_connsp_2(k5_borsuk_1(A, B, C, D, E, F), k2_borsuk_1(A, B), k4_borsuk_1(A, B, C, D))) ) ).
fof(redefinition_k5_borsuk_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  &  (m1_subset_1(C, u1_struct_0(A)) &  (m1_subset_1(D, u1_struct_0(B)) &  (m1_connsp_2(E, A, C) & m1_connsp_2(F, B, D)) ) ) ) )  => k5_borsuk_1(A, B, C, D, E, F)=k2_zfmisc_1(E, F)) ) ).
fof(dt_k6_borsuk_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  &  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) &  (m1_subset_1(D, u1_struct_0(B)) &  (m2_connsp_2(E, A, C) & m1_connsp_2(F, B, D)) ) ) ) )  => m2_connsp_2(k6_borsuk_1(A, B, C, D, E, F), k2_borsuk_1(A, B), k3_borsuk_1(A, B, C, k6_domain_1(u1_struct_0(B), D)))) ) ).
fof(redefinition_k6_borsuk_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  &  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) &  (m1_subset_1(D, u1_struct_0(B)) &  (m2_connsp_2(E, A, C) & m1_connsp_2(F, B, D)) ) ) ) )  => k6_borsuk_1(A, B, C, D, E, F)=k2_zfmisc_1(E, F)) ) ).
fof(dt_k7_borsuk_1, axiom,  (! [A, B, C] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  &  ( (v2_pre_topc(B) & l1_pre_topc(B))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A, B))))) )  => m1_subset_1(k7_borsuk_1(A, B, C), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A, B)))))) ) ).
fof(dt_k8_borsuk_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) ) )  =>  (v1_funct_1(k8_borsuk_1(A, B)) &  (v1_funct_2(k8_borsuk_1(A, B), k9_setfam_1(u1_struct_0(k2_borsuk_1(A, B))), k9_setfam_1(u1_struct_0(A))) & m1_subset_1(k8_borsuk_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(u1_struct_0(k2_borsuk_1(A, B))), k9_setfam_1(u1_struct_0(A)))))) ) ) ) ).
fof(dt_k9_borsuk_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) ) )  =>  (v1_funct_1(k9_borsuk_1(A, B)) &  (v1_funct_2(k9_borsuk_1(A, B), k9_setfam_1(u1_struct_0(k2_borsuk_1(A, B))), k9_setfam_1(u1_struct_0(B))) & m1_subset_1(k9_borsuk_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(u1_struct_0(k2_borsuk_1(A, B))), k9_setfam_1(u1_struct_0(B)))))) ) ) ) ).
fof(dt_k10_borsuk_1, axiom,  (! [A] :  (l1_struct_0(A) => m1_eqrel_1(k10_borsuk_1(A), u1_struct_0(A))) ) ).
fof(dt_k11_borsuk_1, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  & m1_eqrel_1(B, u1_struct_0(A)))  =>  (v1_pre_topc(k11_borsuk_1(A, B)) &  (v2_pre_topc(k11_borsuk_1(A, B)) & l1_pre_topc(k11_borsuk_1(A, B))) ) ) ) ).
fof(dt_k12_borsuk_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ~ (v1_xboole_0(B))  & m1_eqrel_1(B, u1_struct_0(A))) )  =>  (v1_funct_1(k12_borsuk_1(A, B)) &  (v1_funct_2(k12_borsuk_1(A, B), u1_struct_0(A), u1_struct_0(k11_borsuk_1(A, B))) &  (v5_pre_topc(k12_borsuk_1(A, B), A, k11_borsuk_1(A, B)) & m1_subset_1(k12_borsuk_1(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k11_borsuk_1(A, B)))))) ) ) ) ) ).
fof(dt_k13_borsuk_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ( ~ (v2_struct_0(B))  & m1_pre_topc(B, A))  &  ( ~ (v1_xboole_0(C))  & m1_eqrel_1(C, u1_struct_0(B))) ) )  =>  ( ~ (v1_xboole_0(k13_borsuk_1(A, B, C)))  & m1_eqrel_1(k13_borsuk_1(A, B, C), u1_struct_0(A))) ) ) ).
fof(dt_m1_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_borsuk_1(B, A) =>  ( ~ (v1_xboole_0(B))  & m1_eqrel_1(B, u1_struct_0(A))) ) ) ) ) ).
fof(existence_m1_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (? [B] : m1_borsuk_1(B, A)) ) ) ).
fof(dt_k14_borsuk_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v1_borsuk_1(B, A) & m1_pre_topc(B, A)) )  & m1_borsuk_1(C, B)) )  => m1_borsuk_1(k14_borsuk_1(A, B, C), A)) ) ).
fof(redefinition_k14_borsuk_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v1_borsuk_1(B, A) & m1_pre_topc(B, A)) )  & m1_borsuk_1(C, B)) )  => k14_borsuk_1(A, B, C)=k13_borsuk_1(A, B, C)) ) ).
fof(dt_k15_borsuk_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v1_borsuk_1(B, A) & m1_pre_topc(B, A)) )  &  (v2_borsuk_1(C, B) & m1_borsuk_1(C, B)) ) )  =>  (v2_borsuk_1(k15_borsuk_1(A, B, C), A) & m1_borsuk_1(k15_borsuk_1(A, B, C), A)) ) ) ).
fof(redefinition_k15_borsuk_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v1_borsuk_1(B, A) & m1_pre_topc(B, A)) )  &  (v2_borsuk_1(C, B) & m1_borsuk_1(C, B)) ) )  => k15_borsuk_1(A, B, C)=k13_borsuk_1(A, B, C)) ) ).
fof(dt_k16_borsuk_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v1_borsuk_1(B, A) & m1_pre_topc(B, A)) )  &  (v2_borsuk_1(C, B) & m1_borsuk_1(C, B)) ) )  =>  (v1_pre_topc(k16_borsuk_1(A, B, C)) &  (v1_borsuk_1(k16_borsuk_1(A, B, C), k11_borsuk_1(A, k15_borsuk_1(A, B, C))) & m1_pre_topc(k16_borsuk_1(A, B, C), k11_borsuk_1(A, k15_borsuk_1(A, B, C)))) ) ) ) ).
fof(redefinition_k16_borsuk_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v1_borsuk_1(B, A) & m1_pre_topc(B, A)) )  &  (v2_borsuk_1(C, B) & m1_borsuk_1(C, B)) ) )  => k16_borsuk_1(A, B, C)=k11_borsuk_1(B, C)) ) ).
fof(dt_k17_borsuk_1, axiom, l1_pre_topc(k17_borsuk_1)).
fof(dt_k18_borsuk_1, axiom, m1_subset_1(k18_borsuk_1, u1_struct_0(k17_borsuk_1))).
fof(dt_k19_borsuk_1, axiom, m1_subset_1(k19_borsuk_1, u1_struct_0(k17_borsuk_1))).
fof(d2_borsuk_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (! [C] :  ( (v1_pre_topc(C) &  (v2_pre_topc(C) & l1_pre_topc(C)) )  =>  (C=k2_borsuk_1(A, B) <=>  (u1_struct_0(C)=k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)) & u1_pre_topc(C)=a_3_0_borsuk_1(A, B, C)) ) ) ) ) ) ) ) ).
fof(d3_borsuk_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A, B)))) => k7_borsuk_1(A, B, C)=a_3_1_borsuk_1(A, B, C)) ) ) ) ) ) ).
fof(d7_borsuk_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_eqrel_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_pre_topc(C) &  (v2_pre_topc(C) & l1_pre_topc(C)) )  =>  (C=k11_borsuk_1(A, B) <=>  (u1_struct_0(C)=B & u1_pre_topc(C)=a_2_1_borsuk_1(A, B)) ) ) ) ) ) ) ) ).
fof(d9_borsuk_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m1_pre_topc(B, A))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_eqrel_1(C, u1_struct_0(B)))  => k13_borsuk_1(A, B, C)=k2_xboole_0(C, a_2_2_borsuk_1(A, B))) ) ) ) ) ) ).
fof(fraenkel_a_3_0_borsuk_1, axiom,  (! [A, B, C, D] :  ( ( (v2_pre_topc(B) & l1_pre_topc(B))  &  ( (v2_pre_topc(C) & l1_pre_topc(C))  &  (v1_pre_topc(D) &  (v2_pre_topc(D) & l1_pre_topc(D)) ) ) )  =>  (r2_hidden(A, a_3_0_borsuk_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(D)))) &  (A=k5_setfam_1(u1_struct_0(D), E) & r1_tarski(E, a_2_0_borsuk_1(B, C))) ) ) ) ) ) ).
fof(fraenkel_a_2_0_borsuk_1, axiom,  (! [A, B, C] :  ( ( (v2_pre_topc(B) & l1_pre_topc(B))  &  (v2_pre_topc(C) & l1_pre_topc(C)) )  =>  (r2_hidden(A, a_2_0_borsuk_1(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(C))))  &  (A=k8_mcart_1(u1_struct_0(B), u1_struct_0(C), D, E) &  (r2_tarski(D, u1_pre_topc(B)) & r2_tarski(E, u1_pre_topc(C))) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_borsuk_1, axiom,  (! [A, B, C, D] :  ( ( (v2_pre_topc(B) & l1_pre_topc(B))  &  ( (v2_pre_topc(C) & l1_pre_topc(C))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(B, C))))) )  =>  (r2_hidden(A, a_3_1_borsuk_1(B, C, D)) <=>  (? [E, F] :  ( (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(F, k1_zfmisc_1(u1_struct_0(C))))  &  (A=k3_borsuk_1(B, C, E, F) &  (r1_tarski(k3_borsuk_1(B, C, E, F), D) &  (v3_pre_topc(E, B) & v3_pre_topc(F, C)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_borsuk_1, axiom,  (! [A, B, C] :  ( ( (v2_pre_topc(B) & l1_pre_topc(B))  & m1_eqrel_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_2_1_borsuk_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(C)) &  (A=D & r2_tarski(k3_tarski(D), u1_pre_topc(B))) ) ) ) ) ) ).
fof(fraenkel_a_2_2_borsuk_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  &  ( ~ (v2_struct_0(C))  & m1_pre_topc(C, B)) )  =>  (r2_hidden(A, a_2_2_borsuk_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=k6_domain_1(u1_struct_0(B), D) &  ~ (r2_tarski(D, u1_struct_0(C))) ) ) ) ) ) ) ).
fof(fc1_borsuk_2, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v1_funct_1(k3_struct_0(A)) &  (v1_funct_2(k3_struct_0(A), u1_struct_0(A), u1_struct_0(A)) &  (v5_pre_topc(k3_struct_0(A), A, A) & v1_t_0topsp(k3_struct_0(A), A, A)) ) ) ) ) ).
fof(rc1_borsuk_2, axiom,  (! [A] :  (l1_pre_topc(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v2_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & v5_pre_topc(B, A, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_borsuk_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (? [C] :  (m1_borsuk_2(C, A, B, B) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(k5_topmetr)) &  (v5_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(k5_topmetr)) &  (v1_funct_2(C, u1_struct_0(k5_topmetr), u1_struct_0(A)) & v5_pre_topc(C, k5_topmetr, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_borsuk_2, axiom,  (? [A] :  (l1_pre_topc(A) &  ( ~ (v2_struct_0(A))  &  (v1_pre_topc(A) &  (v2_pre_topc(A) & v1_borsuk_2(A)) ) ) ) ) ).
fof(cc1_borsuk_2, axiom,  (! [A, B, C] :  ( ( (v1_borsuk_2(A) & l1_pre_topc(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (! [D] :  (m1_borsuk_2(D, A, B, C) => v5_pre_topc(D, k5_topmetr, A)) ) ) ) ).
fof(cc2_borsuk_2, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v1_borsuk_2(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v1_connsp_1(A)) ) ) ) ) ).
fof(rc4_borsuk_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (? [C] :  (m1_borsuk_2(C, A, B, B) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(k5_topmetr)) &  (v5_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v3_funct_1(C) &  (v1_partfun1(C, u1_struct_0(k5_topmetr)) & v1_funct_2(C, u1_struct_0(k5_topmetr), u1_struct_0(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(fc2_borsuk_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (v3_funct_1(C) & m1_borsuk_2(C, A, B, B)) ) )  => v3_funct_1(k1_borsuk_2(A, B, B, B, C, C))) ) ).
fof(fc3_borsuk_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (v3_funct_1(C) & m1_borsuk_2(C, A, B, B)) ) )  => v3_funct_1(k2_borsuk_2(A, B, B, C))) ) ).
fof(fc4_borsuk_2, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  &  ( ( ~ (v2_struct_0(C))  &  (v2_pre_topc(C) & l1_pre_topc(C)) )  &  ( ( ~ (v2_struct_0(D))  &  (v2_pre_topc(D) & l1_pre_topc(D)) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(C)) &  (v5_pre_topc(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C))))) ) )  &  (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(B), u1_struct_0(D)) &  (v5_pre_topc(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(D))))) ) ) ) ) ) ) )  =>  (v1_funct_1(k15_funct_3(E, F)) &  (v1_funct_2(k15_funct_3(E, F), u1_struct_0(k2_borsuk_1(A, B)), u1_struct_0(k2_borsuk_1(C, D))) & v5_pre_topc(k15_funct_3(E, F), k2_borsuk_1(A, B), k2_borsuk_1(C, D))) ) ) ) ).
fof(fc5_borsuk_2, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) &  (v6_pre_topc(A) & l1_pre_topc(A)) )  &  (v2_pre_topc(B) &  (v6_pre_topc(B) & l1_pre_topc(B)) ) )  =>  (v1_pre_topc(k2_borsuk_1(A, B)) &  (v2_pre_topc(k2_borsuk_1(A, B)) & v6_pre_topc(k2_borsuk_1(A, B))) ) ) ) ).
fof(fc6_borsuk_2, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) &  (v7_pre_topc(A) & l1_pre_topc(A)) )  &  (v2_pre_topc(B) &  (v7_pre_topc(B) & l1_pre_topc(B)) ) )  =>  (v1_pre_topc(k2_borsuk_1(A, B)) &  (v2_pre_topc(k2_borsuk_1(A, B)) & v7_pre_topc(k2_borsuk_1(A, B))) ) ) ) ).
fof(fc7_borsuk_2, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) &  (v8_pre_topc(A) & l1_pre_topc(A)) )  &  (v2_pre_topc(B) &  (v8_pre_topc(B) & l1_pre_topc(B)) ) )  =>  (v1_pre_topc(k2_borsuk_1(A, B)) &  (v2_pre_topc(k2_borsuk_1(A, B)) & v8_pre_topc(k2_borsuk_1(A, B))) ) ) ) ).
fof(fc8_borsuk_2, axiom,  (v8_pre_topc(k17_borsuk_1) & v1_compts_1(k17_borsuk_1)) ).
fof(rc5_borsuk_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  (v2_connsp_1(B, A) & v2_compts_1(B, A)) ) ) ) ) ) ).
fof(fc9_borsuk_2, axiom, v1_borsuk_2(k17_borsuk_1)).
fof(t1_borsuk_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_pre_topc(C) & l1_pre_topc(C)) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v2_pre_topc(D) & l1_pre_topc(D)) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(D))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(C), u1_struct_0(D)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D))))) )  =>  ~ ( (m1_pre_topc(B, A) &  (m1_pre_topc(C, A) &  (k2_xboole_0(k2_struct_0(B), k2_struct_0(C))=k2_struct_0(A) &  (v1_compts_1(B) &  (v1_compts_1(C) &  (v8_pre_topc(A) &  (v5_pre_topc(E, B, D) &  (v5_pre_topc(F, C, D) &  ( (! [G] :  (r2_tarski(G, k9_subset_1(u1_struct_0(C), k2_struct_0(B), k2_struct_0(C))) => k1_funct_1(E, G)=k1_funct_1(F, G)) )  &  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(A), u1_struct_0(D)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(D))))) )  =>  ~ ( (G=k1_funct_4(E, F) & v5_pre_topc(G, A, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_borsuk_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v3_tops_2(C, A, B) => v1_t_0topsp(k2_tops_2(u1_struct_0(A), u1_struct_0(B), C), B, A)) ) ) ) ) ) ) ).
fof(t3_borsuk_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k5_topmetr), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(A))))) )  &  (v5_pre_topc(C, k5_topmetr, A) &  (k1_funct_1(C, k5_numbers)=B & k1_funct_1(C, 1)=B) ) ) ) ) ) ) ) ).
fof(d1_borsuk_2, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_borsuk_2(A, B, C) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k5_topmetr), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(A))))) )  &  (v5_pre_topc(D, k5_topmetr, A) &  (k1_funct_1(D, k5_numbers)=B & k1_funct_1(D, 1)=C) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_borsuk_2, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_borsuk_2(A, B, C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k5_topmetr), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(A))))) )  =>  (m1_borsuk_2(D, A, B, C) <=>  (v5_pre_topc(D, k5_topmetr, A) &  (k1_funct_1(D, k5_numbers)=B & k1_funct_1(D, 1)=C) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_borsuk_2, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v1_borsuk_2(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_borsuk_2(A, B, C)) ) ) ) ) ) ) ).
fof(d4_borsuk_2, axiom,  (! [A] :  ( (v1_borsuk_2(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k5_topmetr), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(A))))) )  =>  (m1_borsuk_2(D, A, B, C) <=>  (v5_pre_topc(D, k5_topmetr, A) &  (k1_funct_1(D, k5_numbers)=B & k1_funct_1(D, 1)=C) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_borsuk_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_borsuk_2(E, A, B, C) =>  (! [F] :  (m1_borsuk_2(F, A, C, D) =>  ( (r2_borsuk_2(A, B, C) & r2_borsuk_2(A, C, D))  =>  (! [G] :  (m1_borsuk_2(G, A, B, D) =>  (G=k1_borsuk_2(A, B, C, D, E, F) <=>  (! [H] :  (m1_subset_1(H, u1_struct_0(k5_topmetr)) =>  ( (r1_xxreal_0(H, k7_xcmplx_0(1, 2)) => k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(A), G, H)=k1_funct_1(E, k3_xcmplx_0(2, H)))  &  (r1_xxreal_0(k7_xcmplx_0(1, 2), H) => k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(A), G, H)=k1_funct_1(F, k6_xcmplx_0(k3_xcmplx_0(2, H), 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_borsuk_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v3_funct_1(C) & m1_borsuk_2(C, A, B, B))  => r2_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(A), C, k6_struct_0(k5_topmetr, A, B))) ) ) ) ) ) ).
fof(t6_borsuk_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v3_funct_1(C) & m1_borsuk_2(C, A, B, B))  => r2_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(A), k1_borsuk_2(A, B, B, B, C, C), C)) ) ) ) ) ) ).
fof(d6_borsuk_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_borsuk_2(D, A, B, C) =>  (r2_borsuk_2(A, B, C) =>  (! [E] :  (m1_borsuk_2(E, A, C, B) =>  (E=k2_borsuk_2(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(k5_topmetr)) => k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(A), E, F)=k1_funct_1(D, k6_xcmplx_0(1, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_borsuk_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v3_funct_1(C) & m1_borsuk_2(C, A, B, B))  => r2_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(A), k2_borsuk_2(A, B, B, C), C)) ) ) ) ) ) ).
fof(t8_borsuk_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  => k8_relset_1(u1_struct_0(A), u1_struct_0(B), D, k5_setfam_1(u1_struct_0(B), C))=k5_setfam_1(u1_struct_0(A), k6_funct_2(u1_struct_0(A), u1_struct_0(B), D, C))) ) ) ) ) ) ) ) ).
fof(t9_borsuk_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_pre_topc(C) & l1_pre_topc(C)) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v2_pre_topc(D) & l1_pre_topc(D)) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(C)) &  (v5_pre_topc(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(B), u1_struct_0(D)) &  (v5_pre_topc(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(D))))) ) )  =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(C, D)))) =>  (! [H] :  (m1_subset_1(H, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(C, D)))) =>  (r2_tarski(H, k7_borsuk_1(C, D, G)) => v3_pre_topc(k8_relset_1(u1_struct_0(k2_borsuk_1(A, B)), u1_struct_0(k2_borsuk_1(C, D)), k3_borsuk_2(A, C, B, D, E, F), H), k2_borsuk_1(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_borsuk_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_pre_topc(C) & l1_pre_topc(C)) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v2_pre_topc(D) & l1_pre_topc(D)) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(C)) &  (v5_pre_topc(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(B), u1_struct_0(D)) &  (v5_pre_topc(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(D))))) ) )  =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(C, D)))) =>  (v3_pre_topc(G, k2_borsuk_1(C, D)) => v3_pre_topc(k8_relset_1(u1_struct_0(k2_borsuk_1(A, B)), u1_struct_0(k2_borsuk_1(C, D)), k3_borsuk_2(A, C, B, D, E, F), G), k2_borsuk_1(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_borsuk_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_borsuk_2(D, A, B, C) =>  (! [E] :  (m1_borsuk_2(E, A, B, C) =>  (r3_borsuk_2(A, B, C, D, E) <=>  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), u1_struct_0(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), u1_struct_0(A))))) )  &  (v5_pre_topc(F, k2_borsuk_1(k5_topmetr, k5_topmetr), A) &  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_topmetr)) =>  (k1_binop_1(F, G, k5_numbers)=k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(A), D, G) &  (k1_binop_1(F, G, 1)=k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(A), E, G) &  (k1_binop_1(F, k5_numbers, G)=B & k1_binop_1(F, 1, G)=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_borsuk_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_borsuk_2(D, A, B, C) =>  (r2_borsuk_2(A, B, C) => r3_borsuk_2(A, B, C, D, D)) ) ) ) ) ) ) ) ) ).
fof(t13_borsuk_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k5_topmetr), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(A))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(A))))) )  =>  ~ ( (v5_pre_topc(E, k5_topmetr, A) &  (B=k1_funct_1(E, k5_numbers) &  (C=k1_funct_1(E, 1) &  (v5_pre_topc(F, k5_topmetr, A) &  (C=k1_funct_1(F, k5_numbers) &  (D=k1_funct_1(F, 1) &  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(k5_topmetr), u1_struct_0(A)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(A))))) )  =>  ~ ( (v5_pre_topc(G, k5_topmetr, A) &  (B=k1_funct_1(G, k5_numbers) &  (D=k1_funct_1(G, 1) & r1_tarski(k2_relset_1(u1_struct_0(A), G), k4_subset_1(u1_struct_0(A), k2_relset_1(u1_struct_0(A), E), k2_relset_1(u1_struct_0(A), F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_borsuk_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_borsuk_2(E, A, B, C) =>  (! [F] :  (m1_borsuk_2(F, A, C, D) =>  ( (v5_pre_topc(E, k5_topmetr, A) &  (v5_pre_topc(F, k5_topmetr, A) &  (k1_funct_1(E, k5_numbers)=B &  (k1_funct_1(E, 1)=C &  (k1_funct_1(F, k5_numbers)=C & k1_funct_1(F, 1)=D) ) ) ) )  =>  (v5_pre_topc(k1_borsuk_2(A, B, C, D, E, F), k5_topmetr, A) &  (k1_funct_1(k1_borsuk_2(A, B, C, D, E, F), k5_numbers)=B & k1_funct_1(k1_borsuk_2(A, B, C, D, E, F), 1)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_borsuk_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k5_topmetr), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(A))))) )  &  (v5_pre_topc(D, k5_topmetr, A) &  (k1_funct_1(D, k5_numbers)=B & k1_funct_1(D, 1)=C) ) ) )  &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k5_topmetr), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(A))))) )  =>  ~ ( (v5_pre_topc(D, k5_topmetr, A) &  (k1_funct_1(D, k5_numbers)=C & k1_funct_1(D, 1)=B) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_f1_s1_borsuk_2, axiom,  ~ (v1_xboole_0(f1_s1_borsuk_2)) ).
fof(reflexivity_r2_borsuk_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => r2_borsuk_2(A, B, B)) ) ).
fof(redefinition_r2_borsuk_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r2_borsuk_2(A, B, C) <=> r1_borsuk_2(A, B, C)) ) ) ).
fof(dt_m1_borsuk_2, axiom,  (! [A, B, C] :  ( (l1_pre_topc(A) &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (! [D] :  (m1_borsuk_2(D, A, B, C) =>  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k5_topmetr), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(A))))) ) ) ) ) ) ).
fof(existence_m1_borsuk_2, axiom,  (! [A, B, C] :  ( (l1_pre_topc(A) &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (? [D] : m1_borsuk_2(D, A, B, C)) ) ) ).
fof(dt_k1_borsuk_2, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) &  (m1_subset_1(D, u1_struct_0(A)) &  (m1_borsuk_2(E, A, B, C) & m1_borsuk_2(F, A, C, D)) ) ) ) )  => m1_borsuk_2(k1_borsuk_2(A, B, C, D, E, F), A, B, D)) ) ).
fof(dt_k2_borsuk_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) & m1_borsuk_2(D, A, B, C)) ) )  => m1_borsuk_2(k2_borsuk_2(A, B, C, D), A, C, B)) ) ).
fof(dt_k3_borsuk_2, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  &  ( ( ~ (v2_struct_0(C))  &  (v2_pre_topc(C) & l1_pre_topc(C)) )  &  ( ( ~ (v2_struct_0(D))  &  (v2_pre_topc(D) & l1_pre_topc(D)) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  &  (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(C), u1_struct_0(D)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D))))) ) ) ) ) ) )  =>  (v1_funct_1(k3_borsuk_2(A, B, C, D, E, F)) &  (v1_funct_2(k3_borsuk_2(A, B, C, D, E, F), u1_struct_0(k2_borsuk_1(A, C)), u1_struct_0(k2_borsuk_1(B, D))) & m1_subset_1(k3_borsuk_2(A, B, C, D, E, F), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A, C)), u1_struct_0(k2_borsuk_1(B, D)))))) ) ) ) ).
fof(redefinition_k3_borsuk_2, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  &  ( ( ~ (v2_struct_0(C))  &  (v2_pre_topc(C) & l1_pre_topc(C)) )  &  ( ( ~ (v2_struct_0(D))  &  (v2_pre_topc(D) & l1_pre_topc(D)) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  &  (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(C), u1_struct_0(D)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D))))) ) ) ) ) ) )  => k3_borsuk_2(A, B, C, D, E, F)=k15_funct_3(E, F)) ) ).
fof(symmetry_r3_borsuk_2, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) &  (m1_borsuk_2(D, A, B, C) & m1_borsuk_2(E, A, B, C)) ) ) )  =>  (r3_borsuk_2(A, B, C, D, E) => r3_borsuk_2(A, B, C, E, D)) ) ) ).
fof(symmetry_r4_borsuk_2, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_borsuk_2(A) & l1_pre_topc(A)) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) &  (m1_borsuk_2(D, A, B, C) & m1_borsuk_2(E, A, B, C)) ) ) )  =>  (r4_borsuk_2(A, B, C, D, E) => r4_borsuk_2(A, B, C, E, D)) ) ) ).
fof(reflexivity_r4_borsuk_2, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_borsuk_2(A) & l1_pre_topc(A)) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) &  (m1_borsuk_2(D, A, B, C) & m1_borsuk_2(E, A, B, C)) ) ) )  => r4_borsuk_2(A, B, C, D, D)) ) ).
fof(redefinition_r4_borsuk_2, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_borsuk_2(A) & l1_pre_topc(A)) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) &  (m1_borsuk_2(D, A, B, C) & m1_borsuk_2(E, A, B, C)) ) ) )  =>  (r4_borsuk_2(A, B, C, D, E) <=> r3_borsuk_2(A, B, C, D, E)) ) ) ).
fof(s1_borsuk_2, axiom, r1_tarski(k1_card_1(a_0_0_borsuk_2), k1_card_1(f2_s1_borsuk_2))).
fof(fraenkel_a_0_0_borsuk_2, axiom,  (! [A] :  (r2_hidden(A, a_0_0_borsuk_2) <=>  (? [B] :  (m1_subset_1(B, f1_s1_borsuk_2) &  (A=f3_s1_borsuk_2(B) &  (r2_tarski(B, f2_s1_borsuk_2) & p1_s1_borsuk_2(B)) ) ) ) ) ) ).
fof(fc1_borsuk_3, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v1_funct_1(k3_struct_0(A)) &  (v1_funct_2(k3_struct_0(A), u1_struct_0(A), u1_struct_0(A)) & v3_tops_2(k3_struct_0(A), A, A)) ) ) ) ).
fof(fc2_borsuk_3, axiom,  (! [A, B] :  ( (l1_pre_topc(A) &  (v1_xboole_0(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (v2_struct_0(k1_pre_topc(A, B)) & v1_pre_topc(k1_pre_topc(A, B))) ) ) ).
fof(cc1_borsuk_3, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( (v2_struct_0(A) & v2_pre_topc(A))  =>  (v2_pre_topc(A) & v1_compts_1(A)) ) ) ) ).
fof(fc3_borsuk_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v1_compts_1(B) & l1_pre_topc(B)) ) )  & m1_subset_1(C, u1_struct_0(A))) )  =>  (v1_pre_topc(k2_borsuk_1(B, k1_pre_topc(A, k6_domain_1(u1_struct_0(A), C)))) &  (v2_pre_topc(k2_borsuk_1(B, k1_pre_topc(A, k6_domain_1(u1_struct_0(A), C)))) & v1_compts_1(k2_borsuk_1(B, k1_pre_topc(A, k6_domain_1(u1_struct_0(A), C))))) ) ) ) ).
fof(fc4_borsuk_3, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) )  &  (v2_pre_topc(B) &  (v1_compts_1(B) & l1_pre_topc(B)) ) )  =>  (v1_pre_topc(k2_borsuk_1(A, B)) &  (v2_pre_topc(k2_borsuk_1(A, B)) & v1_compts_1(k2_borsuk_1(A, B))) ) ) ) ).
fof(rc1_borsuk_3, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v1_xboole_0(B)) ) ) ) ).
fof(fc5_borsuk_3, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  &  (v2_compts_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (v1_pre_topc(k1_pre_topc(A, B)) & v1_compts_1(k1_pre_topc(A, B))) ) ) ).
fof(t1_borsuk_3, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  => k2_struct_0(k2_borsuk_1(A, B))=k3_borsuk_1(A, B, k2_struct_0(A), k2_struct_0(B))) ) ) ) ).
fof(t2_borsuk_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v1_funct_1(k6_struct_0(B, A, C)) &  (v1_funct_2(k6_struct_0(B, A, C), u1_struct_0(B), u1_struct_0(k1_pre_topc(A, k6_domain_1(u1_struct_0(A), C)))) &  (v5_pre_topc(k6_struct_0(B, A, C), B, k1_pre_topc(A, k6_domain_1(u1_struct_0(A), C))) & m1_subset_1(k6_struct_0(B, A, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(k1_pre_topc(A, k6_domain_1(u1_struct_0(A), C))))))) ) ) ) ) ) ) ) ) ).
fof(t3_borsuk_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_pre_topc(C) & l1_pre_topc(C)) )  =>  ( (r2_borsuk_3(A, B) & r2_borsuk_3(B, C))  => r2_borsuk_3(A, C)) ) ) ) ) ) ) ).
fof(t4_borsuk_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k2_borsuk_1(B, k1_pre_topc(A, k6_domain_1(u1_struct_0(A), C)))), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(B, k1_pre_topc(A, k6_domain_1(u1_struct_0(A), C)))), u1_struct_0(B))))) )  =>  (r1_funct_2(u1_struct_0(k2_borsuk_1(B, k1_pre_topc(A, k6_domain_1(u1_struct_0(A), C)))), u1_struct_0(B), k2_zfmisc_1(u1_struct_0(B), k6_domain_1(u1_struct_0(A), C)), u1_struct_0(B), D, k9_funct_3(u1_struct_0(B), k6_domain_1(u1_struct_0(A), C))) => v2_funct_1(D)) ) ) ) ) ) ) ) ) ).
fof(t5_borsuk_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k2_borsuk_1(k1_pre_topc(A, k6_domain_1(u1_struct_0(A), C)), B)), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A, k6_domain_1(u1_struct_0(A), C)), B)), u1_struct_0(B))))) )  =>  (r1_funct_2(u1_struct_0(k2_borsuk_1(k1_pre_topc(A, k6_domain_1(u1_struct_0(A), C)), B)), u1_struct_0(B), k2_zfmisc_1(k6_domain_1(u1_struct_0(A), C), u1_struct_0(B)), u1_struct_0(B), D, k10_funct_3(k6_domain_1(u1_struct_0(A), C), u1_struct_0(B))) => v2_funct_1(D)) ) ) ) ) ) ) ) ) ).
fof(t6_borsuk_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k2_borsuk_1(B, k1_pre_topc(A, k6_domain_1(u1_struct_0(A), C)))), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(B, k1_pre_topc(A, k6_domain_1(u1_struct_0(A), C)))), u1_struct_0(B))))) )  =>  (r1_funct_2(u1_struct_0(k2_borsuk_1(B, k1_pre_topc(A, k6_domain_1(u1_struct_0(A), C)))), u1_struct_0(B), k2_zfmisc_1(u1_struct_0(B), k6_domain_1(u1_struct_0(A), C)), u1_struct_0(B), D, k9_funct_3(u1_struct_0(B), k6_domain_1(u1_struct_0(A), C))) => r1_funct_2(u1_struct_0(B), u1_struct_0(k2_borsuk_1(B, k1_pre_topc(A, k6_domain_1(u1_struct_0(A), C)))), u1_struct_0(B), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)), k2_tops_2(u1_struct_0(k2_borsuk_1(B, k1_pre_topc(A, k6_domain_1(u1_struct_0(A), C)))), u1_struct_0(B), D), k14_funct_3(u1_struct_0(B), u1_struct_0(B), u1_struct_0(A), k3_struct_0(B), k6_struct_0(B, A, C)))) ) ) ) ) ) ) ) ) ).
fof(t7_borsuk_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k2_borsuk_1(k1_pre_topc(A, k6_domain_1(u1_struct_0(A), C)), B)), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A, k6_domain_1(u1_struct_0(A), C)), B)), u1_struct_0(B))))) )  =>  (r1_funct_2(u1_struct_0(k2_borsuk_1(k1_pre_topc(A, k6_domain_1(u1_struct_0(A), C)), B)), u1_struct_0(B), k2_zfmisc_1(k6_domain_1(u1_struct_0(A), C), u1_struct_0(B)), u1_struct_0(B), D, k10_funct_3(k6_domain_1(u1_struct_0(A), C), u1_struct_0(B))) => r1_funct_2(u1_struct_0(B), u1_struct_0(k2_borsuk_1(k1_pre_topc(A, k6_domain_1(u1_struct_0(A), C)), B)), u1_struct_0(B), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k2_tops_2(u1_struct_0(k2_borsuk_1(k1_pre_topc(A, k6_domain_1(u1_struct_0(A), C)), B)), u1_struct_0(B), D), k14_funct_3(u1_struct_0(B), u1_struct_0(A), u1_struct_0(B), k6_struct_0(B, A, C), k3_struct_0(B)))) ) ) ) ) ) ) ) ) ).
fof(t8_borsuk_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k2_borsuk_1(B, k1_pre_topc(A, k6_domain_1(u1_struct_0(A), C)))), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(B, k1_pre_topc(A, k6_domain_1(u1_struct_0(A), C)))), u1_struct_0(B))))) )  =>  (r1_funct_2(u1_struct_0(k2_borsuk_1(B, k1_pre_topc(A, k6_domain_1(u1_struct_0(A), C)))), u1_struct_0(B), k2_zfmisc_1(u1_struct_0(B), k6_domain_1(u1_struct_0(A), C)), u1_struct_0(B), D, k9_funct_3(u1_struct_0(B), k6_domain_1(u1_struct_0(A), C))) => v3_tops_2(D, k2_borsuk_1(B, k1_pre_topc(A, k6_domain_1(u1_struct_0(A), C))), B)) ) ) ) ) ) ) ) ) ).
fof(t9_borsuk_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k2_borsuk_1(k1_pre_topc(A, k6_domain_1(u1_struct_0(A), C)), B)), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A, k6_domain_1(u1_struct_0(A), C)), B)), u1_struct_0(B))))) )  =>  (r1_funct_2(u1_struct_0(k2_borsuk_1(k1_pre_topc(A, k6_domain_1(u1_struct_0(A), C)), B)), u1_struct_0(B), k2_zfmisc_1(k6_domain_1(u1_struct_0(A), C), u1_struct_0(B)), u1_struct_0(B), D, k10_funct_3(k6_domain_1(u1_struct_0(A), C), u1_struct_0(B))) => v3_tops_2(D, k2_borsuk_1(k1_pre_topc(A, k6_domain_1(u1_struct_0(A), C)), B), B)) ) ) ) ) ) ) ) ) ).
fof(t10_borsuk_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v1_compts_1(B) & l1_pre_topc(B)) ) )  =>  (! [C] :  ( (v3_pre_topc(C, k2_borsuk_1(A, B)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A, B)))))  =>  (! [D] :  ~ ( (r1_tarski(k2_zfmisc_1(k1_tarski(D), u1_struct_0(B)), C) &  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(B)) &  (v1_funct_1(E) & v1_partfun1(E, u1_struct_0(B))) ) )  =>  (? [F] :  (r2_hidden(F, u1_struct_0(B)) &  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(A))) =>  (! [H] :  (m1_subset_1(H, k1_zfmisc_1(u1_struct_0(B))) =>  ~ ( (k1_funct_1(E, F)=k1_domain_1(k1_zfmisc_1(u1_struct_0(A)), k1_zfmisc_1(u1_struct_0(B)), G, H) &  (r2_hidden(k4_tarski(D, F), k3_borsuk_1(A, B, G, H)) &  (v3_pre_topc(G, A) &  (v3_pre_topc(H, B) & r1_tarski(k3_borsuk_1(A, B, G, H), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_borsuk_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_borsuk_3(k2_borsuk_1(k1_pre_topc(A, k6_domain_1(u1_struct_0(A), C)), B), B)) ) ) ) ) ) ).
fof(t14_borsuk_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  ( (r2_borsuk_3(A, B) & v1_compts_1(A))  => v1_compts_1(B)) ) ) ) ) ).
fof(t15_borsuk_3, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (! [C] :  (m1_pre_topc(C, A) => m1_pre_topc(k2_borsuk_1(B, C), k2_borsuk_1(B, A))) ) ) ) ) ) ).
fof(t16_borsuk_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v1_compts_1(B) & l1_pre_topc(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(B, A)))) =>  (D=k3_borsuk_1(B, A, k2_struct_0(B), k6_domain_1(u1_struct_0(A), C)) => v2_compts_1(D, k2_borsuk_1(B, A))) ) ) ) ) ) ) ) ) ).
fof(t20_borsuk_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v1_compts_1(B) & l1_pre_topc(B)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(B, A))))) =>  ~ ( (m1_setfam_1(C, u1_struct_0(k2_borsuk_1(B, A))) &  (v1_tops_2(C, k2_borsuk_1(B, A)) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(B, A))))) =>  ~ ( (r1_tarski(D, C) &  (m1_setfam_1(D, u1_struct_0(k2_borsuk_1(B, A))) & v1_finset_1(D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_borsuk_3, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (! [C] :  (m1_pre_topc(C, A) =>  (! [D] :  (m1_pre_topc(D, B) => m1_pre_topc(k2_borsuk_1(C, D), k2_borsuk_1(A, B))) ) ) ) ) ) ) ) ).
fof(t22_borsuk_3, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(B, A)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) =>  (C=k3_borsuk_1(B, A, E, D) => g1_pre_topc(u1_struct_0(k2_borsuk_1(k1_pre_topc(B, E), k1_pre_topc(A, D))), u1_pre_topc(k2_borsuk_1(k1_pre_topc(B, E), k1_pre_topc(A, D))))=g1_pre_topc(u1_struct_0(k1_pre_topc(k2_borsuk_1(B, A), C)), u1_pre_topc(k1_pre_topc(k2_borsuk_1(B, A), C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_borsuk_3, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  ( (v2_compts_1(C, A) & v2_compts_1(D, B))  =>  (v2_compts_1(k3_borsuk_1(A, B, C, D), k2_borsuk_1(A, B)) & m1_subset_1(k3_borsuk_1(A, B, C, D), k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A, B))))) ) ) ) ) ) ) ) ) ) ).
fof(reflexivity_r1_borsuk_3, axiom,  (! [A, B] :  ( (l1_pre_topc(A) & l1_pre_topc(B))  => r1_borsuk_3(A, A)) ) ).
fof(redefinition_r1_borsuk_3, axiom,  (! [A, B] :  ( (l1_pre_topc(A) & l1_pre_topc(B))  =>  (r1_borsuk_3(A, B) <=> r1_t_0topsp(A, B)) ) ) ).
fof(symmetry_r2_borsuk_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  &  ( ~ (v2_struct_0(B))  & l1_pre_topc(B)) )  =>  (r2_borsuk_3(A, B) => r2_borsuk_3(B, A)) ) ) ).
fof(reflexivity_r2_borsuk_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  &  ( ~ (v2_struct_0(B))  & l1_pre_topc(B)) )  => r2_borsuk_3(A, A)) ) ).
fof(redefinition_r2_borsuk_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  &  ( ~ (v2_struct_0(B))  & l1_pre_topc(B)) )  =>  (r2_borsuk_3(A, B) <=> r1_t_0topsp(A, B)) ) ) ).
fof(t11_borsuk_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v1_compts_1(B) & l1_pre_topc(B)) ) )  =>  (! [C] :  ( (v3_pre_topc(C, k2_borsuk_1(B, A)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(B, A)))))  =>  (! [D] :  ~ ( (r1_tarski(k2_zfmisc_1(k2_struct_0(B), k1_tarski(D)), C) &  (! [E] :  ( (v3_pre_topc(E, A) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( (r2_tarski(D, E) & r1_tarski(E, a_3_0_borsuk_3(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_borsuk_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v1_compts_1(B) & l1_pre_topc(B)) ) )  =>  (! [C] :  ( (v3_pre_topc(C, k2_borsuk_1(B, A)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(B, A)))))  => r2_tarski(a_3_0_borsuk_3(A, B, C), u1_pre_topc(A))) ) ) ) ) ) ).
fof(t17_borsuk_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v1_compts_1(B) & l1_pre_topc(B)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (C=a_2_0_borsuk_3(A, B) =>  (v1_tops_2(C, A) & m1_setfam_1(C, k2_struct_0(A))) ) ) ) ) ) ) ) ).
fof(t18_borsuk_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v1_compts_1(B) & l1_pre_topc(B)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(B, A))))) =>  ( (m1_setfam_1(D, u1_struct_0(k2_borsuk_1(B, A))) &  (v1_tops_2(D, k2_borsuk_1(B, A)) & C=a_3_1_borsuk_3(A, B, D)) )  =>  (v1_tops_2(C, A) & m1_setfam_1(C, u1_struct_0(A))) ) ) ) ) ) ) ) ) ) ).
fof(t19_borsuk_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v1_compts_1(B) & l1_pre_topc(B)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(B, A))))) =>  ~ ( (m1_setfam_1(D, u1_struct_0(k2_borsuk_1(B, A))) &  (v1_tops_2(D, k2_borsuk_1(B, A)) &  (C=a_3_1_borsuk_3(A, B, D) &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ~ ( (r1_tarski(E, C) &  (v1_finset_1(E) & m1_setfam_1(E, u1_struct_0(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_borsuk_3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  &  ( ( ~ (v2_struct_0(C))  &  (v2_pre_topc(C) &  (v1_compts_1(C) & l1_pre_topc(C)) ) )  &  (v3_pre_topc(D, k2_borsuk_1(C, B)) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(C, B))))) ) )  =>  (r2_hidden(A, a_3_0_borsuk_3(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E & r1_tarski(k3_borsuk_1(C, B, k2_struct_0(C), k6_domain_1(u1_struct_0(B), E)), D)) ) ) ) ) ) ).
fof(fraenkel_a_2_0_borsuk_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v1_compts_1(B) & l1_pre_topc(B)) ) )  &  ( ~ (v2_struct_0(C))  &  (v2_pre_topc(C) &  (v1_compts_1(C) & l1_pre_topc(C)) ) ) )  =>  (r2_hidden(A, a_2_0_borsuk_3(B, C)) <=>  (? [D] :  ( (v3_pre_topc(D, B) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))))  &  (A=D & r1_tarski(k3_borsuk_1(C, B, k2_struct_0(C), D), k5_setfam_1(u1_struct_0(k2_borsuk_1(C, B)), k7_borsuk_1(C, B, k2_struct_0(k2_borsuk_1(C, B)))))) ) ) ) ) ) ).
fof(fraenkel_a_3_1_borsuk_3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v1_compts_1(B) & l1_pre_topc(B)) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v2_pre_topc(C) &  (v1_compts_1(C) & l1_pre_topc(C)) ) )  & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(C, B)))))) )  =>  (r2_hidden(A, a_3_1_borsuk_3(B, C, D)) <=>  (? [E] :  ( (v3_pre_topc(E, B) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))))  &  (A=E &  (? [F] :  (m1_subset_1(F, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(C, B))))) &  (r1_tarski(F, D) &  (v1_finset_1(F) & r1_tarski(k3_borsuk_1(C, B, k2_struct_0(C), E), k5_setfam_1(u1_struct_0(k2_borsuk_1(C, B)), F))) ) ) ) ) ) ) ) ) ) ).
fof(cc1_borsuk_4, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (v1_topreal2(A) =>  ( ~ (v1_zfmisc_1(A))  & v1_topreal2(A)) ) ) ) ).
fof(fc1_borsuk_4, axiom,  ( ~ (v2_struct_0(k1_borsuk_4))  & v1_pre_topc(k1_borsuk_4)) ).
fof(fc2_borsuk_4, axiom,  (v1_pre_topc(k1_borsuk_4) & v1_tsep_1(k1_borsuk_4, k5_topmetr)) ).
fof(t4_borsuk_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v2_funct_1(A) &  (v2_funct_1(B) &  (k3_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B))=k1_tarski(C) & k3_xboole_0(k10_xtuple_0(A), k10_xtuple_0(B))=k1_tarski(k1_funct_1(A, C))) ) )  => v2_funct_1(k1_funct_4(A, B))) ) ) ) ) ) ).
fof(t5_borsuk_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v2_funct_1(A) &  (v2_funct_1(B) &  (k3_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B))=k1_tarski(C) &  (k3_xboole_0(k10_xtuple_0(A), k10_xtuple_0(B))=k1_tarski(k1_funct_1(A, C)) & k1_funct_1(A, C)=k1_funct_1(B, C)) ) ) )  => k2_funct_1(k1_funct_4(A, B))=k1_funct_4(k2_funct_1(A), k2_funct_1(B))) ) ) ) ) ) ).
fof(t6_borsuk_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  ~ ( (r1_topreal1(k15_euclid(A), C, D, B) & v1_xboole_0(k7_subset_1(u1_struct_0(k15_euclid(A)), B, k6_domain_1(u1_struct_0(k15_euclid(A)), C)))) ) ) ) ) ) ) ) ) ) ).
fof(t7_borsuk_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(A, B) &  (r1_xxreal_0(k5_numbers, D) & r1_xxreal_0(D, 1)) )  =>  (r1_xxreal_0(C, A) | r1_xxreal_0(A, k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(1, D), B), k3_xcmplx_0(D, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t8_borsuk_4, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k5_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (A=k2_rcomp_1(B, C) =>  (r1_xxreal_0(C, B) | r1_tarski(k1_rcomp_1(B, C), u1_struct_0(k5_topmetr))) ) ) ) ) ) ) ) ).
fof(t9_borsuk_4, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k5_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (A=k4_rcomp_1(B, C) =>  (r1_xxreal_0(C, B) | r1_tarski(k1_rcomp_1(B, C), u1_struct_0(k5_topmetr))) ) ) ) ) ) ) ) ).
fof(t10_borsuk_4, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k5_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (A=k3_rcomp_1(B, C) =>  (r1_xxreal_0(C, B) | r1_tarski(k1_rcomp_1(B, C), u1_struct_0(k5_topmetr))) ) ) ) ) ) ) ) ).
fof(t11_borsuk_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (A=B)  => k5_measure6(k4_rcomp_1(A, B))=k1_rcomp_1(A, B)) ) ) ) ) ).
fof(t12_borsuk_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (A=B)  => k5_measure6(k3_rcomp_1(A, B))=k1_rcomp_1(A, B)) ) ) ) ) ).
fof(t13_borsuk_4, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k5_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (A=k2_rcomp_1(B, C) =>  (r1_xxreal_0(C, B) | k2_pre_topc(k5_topmetr, A)=k1_rcomp_1(B, C)) ) ) ) ) ) ) ) ).
fof(t14_borsuk_4, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k5_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (A=k4_rcomp_1(B, C) =>  (r1_xxreal_0(C, B) | k2_pre_topc(k5_topmetr, A)=k1_rcomp_1(B, C)) ) ) ) ) ) ) ) ).
fof(t15_borsuk_4, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k5_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (A=k3_rcomp_1(B, C) =>  (r1_xxreal_0(C, B) | k2_pre_topc(k5_topmetr, A)=k1_rcomp_1(B, C)) ) ) ) ) ) ) ) ).
fof(t16_borsuk_4, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k5_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_xxreal_0(B, C) & A=k1_rcomp_1(B, C))  =>  (r1_xxreal_0(k5_numbers, B) & r1_xxreal_0(C, 1)) ) ) ) ) ) ) ) ).
fof(t17_borsuk_4, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k5_topmetr))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k5_topmetr))) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ( (A=k3_rcomp_1(C, D) & B=k4_rcomp_1(D, E))  =>  (r1_xxreal_0(D, C) |  (r1_xxreal_0(E, D) | r1_connsp_1(k5_topmetr, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_borsuk_4, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_topmetr)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_topmetr)) => m1_subset_1(k1_rcomp_1(A, B), k1_zfmisc_1(u1_struct_0(k5_topmetr)))) ) ) ) ).
fof(t19_borsuk_4, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_topmetr)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_topmetr)) => m1_subset_1(k2_rcomp_1(A, B), k1_zfmisc_1(u1_struct_0(k5_topmetr)))) ) ) ) ).
fof(t20_borsuk_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (v1_xboole_0(k1_seq_4(A)))  &  (v2_measure5(k1_seq_4(A)) & m1_subset_1(k1_seq_4(A), k1_zfmisc_1(k1_numbers))) ) ) ) ).
fof(t21_borsuk_4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_connsp_1(A, k5_topmetr) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k5_topmetr)))) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_topmetr)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_topmetr)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_topmetr)) =>  ( (r1_xxreal_0(B, C) &  (r1_xxreal_0(C, D) &  (r2_tarski(B, A) & r2_tarski(D, A)) ) )  => r2_tarski(C, A)) ) ) ) ) ) ) ) ) ).
fof(t22_borsuk_4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_connsp_1(A, k5_topmetr) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k5_topmetr)))) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r2_hidden(B, A) & r2_hidden(C, A))  => r1_tarski(k1_rcomp_1(B, C), A)) ) ) ) ) ) ) ).
fof(t23_borsuk_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k5_topmetr))) =>  (C=k1_rcomp_1(A, B) => v4_pre_topc(C, k5_topmetr)) ) ) ) ) ) ) ).
fof(t24_borsuk_4, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_topmetr)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_topmetr)) =>  (r1_xxreal_0(A, B) =>  ( ~ (v1_xboole_0(k1_rcomp_1(A, B)))  &  (v2_connsp_1(k1_rcomp_1(A, B), k5_topmetr) &  (v2_compts_1(k1_rcomp_1(A, B), k5_topmetr) & m1_subset_1(k1_rcomp_1(A, B), k1_zfmisc_1(u1_struct_0(k5_topmetr)))) ) ) ) ) ) ) ) ).
fof(t25_borsuk_4, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k5_topmetr))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (B=A =>  (v4_xxreal_2(B) & v3_xxreal_2(B)) ) ) ) ) ) ).
fof(t26_borsuk_4, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k5_topmetr))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r2_hidden(C, B) & B=A)  =>  (r1_xxreal_0(k3_seq_4(B), C) & r1_xxreal_0(C, k2_seq_4(B))) ) ) ) ) ) ) ) ).
fof(t27_borsuk_4, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k5_topmetr))) =>  (A=B =>  (v2_rcomp_1(A) <=> v4_pre_topc(B, k5_topmetr)) ) ) ) ) ) ).
fof(t28_borsuk_4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  => r1_xxreal_0(k3_seq_4(A), k2_seq_4(A))) ) ).
fof(t29_borsuk_4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_connsp_1(A, k5_topmetr) &  (v2_compts_1(A, k5_topmetr) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k5_topmetr)))) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  ( (A=B & r1_tarski(k1_rcomp_1(k3_seq_4(B), k2_seq_4(B)), B))  => k1_rcomp_1(k3_seq_4(B), k2_seq_4(B))=B) ) ) ) ) ).
fof(t30_borsuk_4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_connsp_1(A, k5_topmetr) &  (v2_compts_1(A, k5_topmetr) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k5_topmetr)))) ) )  =>  ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) ) ) ) ).
fof(t31_borsuk_4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_connsp_1(A, k5_topmetr) &  (v2_compts_1(A, k5_topmetr) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k5_topmetr)))) ) )  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(k5_topmetr)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(k5_topmetr)) &  (r1_xxreal_0(B, C) & A=k1_rcomp_1(B, C)) ) ) ) ) ) ) ).
fof(d1_borsuk_4, axiom,  (! [A] :  ( (v1_pre_topc(A) & m1_pre_topc(A, k5_topmetr))  =>  (A=k1_borsuk_4 <=> u1_struct_0(A)=k2_rcomp_1(k5_numbers, 1)) ) ) ).
fof(t32_borsuk_4, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k5_topmetr))) =>  (A=u1_struct_0(k1_borsuk_4) => k1_borsuk_4=k1_pre_topc(k5_topmetr, A)) ) ) ).
fof(t33_borsuk_4, axiom, u1_struct_0(k1_borsuk_4)=k6_subset_1(u1_struct_0(k5_topmetr), k7_domain_1(k4_ordinal1, k5_numbers, 1))).
fof(t34_borsuk_4, axiom, v1_tsep_1(k1_borsuk_4, k5_topmetr)).
fof(t35_borsuk_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r2_hidden(A, u1_struct_0(k1_borsuk_4)) <=>  ( ~ (r1_xxreal_0(A, k5_numbers))  &  ~ (r1_xxreal_0(1, A)) ) ) ) ) ).
fof(t36_borsuk_4, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_topmetr)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_topmetr)) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  ( ~ (B=1)  &  ~ ( ( ~ (v1_xboole_0(k4_rcomp_1(A, B)))  & m1_subset_1(k4_rcomp_1(A, B), k1_zfmisc_1(u1_struct_0(k1_borsuk_4)))) ) ) ) ) ) ) ) ) ).
fof(t37_borsuk_4, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_topmetr)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_topmetr)) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  ( ~ (A=k5_numbers)  &  ~ ( ( ~ (v1_xboole_0(k3_rcomp_1(A, B)))  & m1_subset_1(k3_rcomp_1(A, B), k1_zfmisc_1(u1_struct_0(k1_borsuk_4)))) ) ) ) ) ) ) ) ) ).
fof(t38_borsuk_4, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => r2_borsuk_3(k1_pre_topc(k15_euclid(2), k1_topreal1), k1_pre_topc(k15_euclid(2), A))) ) ).
fof(t39_borsuk_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (r1_topreal1(k15_euclid(A), C, D, B) => r1_borsuk_3(k1_borsuk_4, k1_pre_topc(k15_euclid(A), k7_subset_1(u1_struct_0(k15_euclid(A)), B, k7_domain_1(u1_struct_0(k15_euclid(A)), C, D))))) ) ) ) ) ) ) ) ) ).
fof(t40_borsuk_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (r1_topreal1(k15_euclid(A), C, D, B) => r1_borsuk_3(k5_topmetr, k1_pre_topc(k15_euclid(A), B))) ) ) ) ) ) ) ) ) ).
fof(t41_borsuk_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  ( ~ (B=C)  => r1_borsuk_3(k5_topmetr, k1_pre_topc(k15_euclid(A), k1_rltopsp1(k15_euclid(A), B, C)))) ) ) ) ) ) ) ).
fof(t42_borsuk_4, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k1_borsuk_4))) =>  ( (? [B] :  (m1_subset_1(B, u1_struct_0(k5_topmetr)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(k5_topmetr)) &  ( ~ (r1_xxreal_0(C, B))  & A=k1_rcomp_1(B, C)) ) ) ) )  => r1_borsuk_3(k5_topmetr, k1_pre_topc(k1_borsuk_4, A))) ) ) ).
fof(t43_borsuk_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_topmetr)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k5_topmetr)) =>  ~ ( (r1_topreal1(k15_euclid(A), C, D, B) &  ( ~ (r1_xxreal_0(F, E))  &  (! [G] :  ( ( ~ (v1_xboole_0(G))  & m1_subset_1(G, k1_zfmisc_1(u1_struct_0(k5_topmetr))))  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(k1_pre_topc(k5_topmetr, G)), u1_struct_0(k1_pre_topc(k15_euclid(A), B))) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k5_topmetr, G)), u1_struct_0(k1_pre_topc(k15_euclid(A), B)))))) )  =>  ~ ( (G=k1_rcomp_1(E, F) &  (v3_tops_2(H, k1_pre_topc(k5_topmetr, G), k1_pre_topc(k15_euclid(A), B)) &  (k1_funct_1(H, E)=C & k1_funct_1(H, F)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_borsuk_4, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v2_pre_topc(D) & l1_pre_topc(D))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v5_pre_topc(C, A, B) & m1_pre_topc(D, B))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k1_pre_topc(A, E)), u1_struct_0(D)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(A, E)), u1_struct_0(D))))) )  =>  (F=k2_partfun1(u1_struct_0(A), u1_struct_0(B), C, E) => v5_pre_topc(F, k1_pre_topc(A, E), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_borsuk_4, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k5_topmetr))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_topmetr)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_topmetr)) =>  (A=k2_rcomp_1(B, C) => v3_pre_topc(A, k5_topmetr)) ) ) ) ) ) ) ).
fof(t46_borsuk_4, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k1_borsuk_4))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_topmetr)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_topmetr)) =>  (A=k2_rcomp_1(B, C) => v3_pre_topc(A, k1_borsuk_4)) ) ) ) ) ) ) ).
fof(t47_borsuk_4, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k1_borsuk_4))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_topmetr)) =>  (A=k4_rcomp_1(k5_numbers, B) => v4_pre_topc(A, k1_borsuk_4)) ) ) ) ) ).
fof(t48_borsuk_4, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k1_borsuk_4))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_topmetr)) =>  (A=k3_rcomp_1(B, 1) => v4_pre_topc(A, k1_borsuk_4)) ) ) ) ) ).
fof(t49_borsuk_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_topmetr)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k5_topmetr)) =>  ~ ( (r1_topreal1(k15_euclid(A), C, D, B) &  ( ~ (r1_xxreal_0(F, E))  &  ( ~ (F=1)  &  (! [G] :  ( ( ~ (v1_xboole_0(G))  & m1_subset_1(G, k1_zfmisc_1(u1_struct_0(k1_borsuk_4))))  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(k1_pre_topc(k1_borsuk_4, G)), u1_struct_0(k1_pre_topc(k15_euclid(A), k7_subset_1(u1_struct_0(k15_euclid(A)), B, k6_domain_1(u1_struct_0(k15_euclid(A)), C))))) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k1_borsuk_4, G)), u1_struct_0(k1_pre_topc(k15_euclid(A), k7_subset_1(u1_struct_0(k15_euclid(A)), B, k6_domain_1(u1_struct_0(k15_euclid(A)), C)))))))) )  =>  ~ ( (G=k4_rcomp_1(E, F) &  (v3_tops_2(H, k1_pre_topc(k1_borsuk_4, G), k1_pre_topc(k15_euclid(A), k7_subset_1(u1_struct_0(k15_euclid(A)), B, k6_domain_1(u1_struct_0(k15_euclid(A)), C)))) & k1_funct_1(H, F)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_borsuk_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_topmetr)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k5_topmetr)) =>  ~ ( (r1_topreal1(k15_euclid(A), C, D, B) &  ( ~ (r1_xxreal_0(F, E))  &  ( ~ (E=k5_numbers)  &  (! [G] :  ( ( ~ (v1_xboole_0(G))  & m1_subset_1(G, k1_zfmisc_1(u1_struct_0(k1_borsuk_4))))  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(k1_pre_topc(k1_borsuk_4, G)), u1_struct_0(k1_pre_topc(k15_euclid(A), k7_subset_1(u1_struct_0(k15_euclid(A)), B, k6_domain_1(u1_struct_0(k15_euclid(A)), D))))) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k1_borsuk_4, G)), u1_struct_0(k1_pre_topc(k15_euclid(A), k7_subset_1(u1_struct_0(k15_euclid(A)), B, k6_domain_1(u1_struct_0(k15_euclid(A)), D)))))))) )  =>  ~ ( (G=k3_rcomp_1(E, F) &  (v3_tops_2(H, k1_pre_topc(k1_borsuk_4, G), k1_pre_topc(k15_euclid(A), k7_subset_1(u1_struct_0(k15_euclid(A)), B, k6_domain_1(u1_struct_0(k15_euclid(A)), D)))) & k1_funct_1(H, E)=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_borsuk_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  ( (r1_topreal1(k15_euclid(A), D, E, B) &  (r1_topreal1(k15_euclid(A), E, D, C) & k9_subset_1(u1_struct_0(k15_euclid(A)), B, C)=k7_domain_1(u1_struct_0(k15_euclid(A)), D, E)) )  =>  (D=E | r1_borsuk_3(k1_borsuk_4, k1_pre_topc(k15_euclid(A), k4_subset_1(u1_struct_0(k15_euclid(A)), k7_subset_1(u1_struct_0(k15_euclid(A)), B, k6_domain_1(u1_struct_0(k15_euclid(A)), D)), k7_subset_1(u1_struct_0(k15_euclid(A)), C, k6_domain_1(u1_struct_0(k15_euclid(A)), D)))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_borsuk_4, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, A) => r1_borsuk_3(k1_pre_topc(k15_euclid(2), k7_subset_1(u1_struct_0(k15_euclid(2)), A, k6_domain_1(u1_struct_0(k15_euclid(2)), B))), k1_borsuk_4)) ) ) ) ) ).
fof(t53_borsuk_4, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(B, A) & r2_tarski(C, A))  => r1_borsuk_3(k1_pre_topc(k15_euclid(2), k7_subset_1(u1_struct_0(k15_euclid(2)), A, k6_domain_1(u1_struct_0(k15_euclid(2)), B))), k1_pre_topc(k15_euclid(2), k7_subset_1(u1_struct_0(k15_euclid(2)), A, k6_domain_1(u1_struct_0(k15_euclid(2)), C))))) ) ) ) ) ) ) ).
fof(t54_borsuk_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k1_borsuk_4))) =>  ~ ( ( (? [D] :  (m1_subset_1(D, u1_struct_0(k5_topmetr)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(k5_topmetr)) &  ( ~ (r1_xxreal_0(E, D))  & C=k1_rcomp_1(D, E)) ) ) ) )  &  (r1_borsuk_3(k1_pre_topc(k1_borsuk_4, C), k1_pre_topc(k15_euclid(A), B)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  ~ (r1_topreal1(k15_euclid(A), D, E, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_borsuk_4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k1_borsuk_4)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k1_borsuk_4))))) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ ( (v3_tops_2(B, k1_pre_topc(k15_euclid(2), A), k1_borsuk_4) &  (r1_tarski(C, A) &  ( (? [D] :  (m1_subset_1(D, u1_struct_0(k5_topmetr)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(k5_topmetr)) &  ( ~ (r1_xxreal_0(E, D))  & k7_relset_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k1_borsuk_4), B, C)=k1_rcomp_1(D, E)) ) ) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ~ (r1_topreal1(k15_euclid(2), D, E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_borsuk_4, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  ~ ( (r1_tarski(B, A) &  ( ~ (B=A)  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ (r1_topreal1(k15_euclid(2), C, D, B)) ) ) ) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ (B=k6_domain_1(u1_struct_0(k15_euclid(2)), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_borsuk_4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k5_topmetr) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k5_topmetr)))) )  =>  ~ ( (r1_tarski(A, k2_rcomp_1(k5_numbers, 1)) &  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  ~ ( (r1_tarski(A, B) &  (r1_tarski(B, k2_rcomp_1(k5_numbers, 1)) &  (k3_seq_4(A)=k3_seq_4(B) & k2_seq_4(A)=k2_seq_4(B)) ) ) ) ) ) ) ) ) ) ).
fof(t58_borsuk_4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k5_topmetr) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k5_topmetr)))) )  =>  ~ ( (r1_tarski(A, k2_rcomp_1(k5_numbers, 1)) &  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_topmetr)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_topmetr)) =>  ~ ( (r1_xxreal_0(B, C) &  (r1_tarski(A, k1_rcomp_1(B, C)) & r1_tarski(k1_rcomp_1(B, C), k2_rcomp_1(k5_numbers, 1))) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_borsuk_4, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  ( (v4_pre_topc(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ ( (r2_xboole_0(B, A) &  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( (r1_topreal1(k15_euclid(2), C, D, E) &  (r1_tarski(B, E) & r1_tarski(E, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_borsuk_4, axiom,  (v1_pre_topc(k1_borsuk_4) & m1_pre_topc(k1_borsuk_4, k5_topmetr)) ).
fof(fc1_borsuk_5, axiom,  (v2_pre_topc(k3_topmetr) & v1_borsuk_2(k3_topmetr)) ).
fof(rc1_borsuk_5, axiom,  (? [A] :  (l1_pre_topc(A) &  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v1_connsp_1(A)) ) ) ) ).
fof(cc1_borsuk_5, axiom,  (! [A] :  (m1_subset_1(A, k3_numbers) => v1_xreal_0(A)) ) ).
fof(fc2_borsuk_5, axiom,  (v1_xreal_0(k4_power) &  ~ (v1_rat_1(k4_power)) ) ).
fof(rc2_borsuk_5, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_xxreal_0(A) &  ~ (v1_rat_1(A)) ) ) ) ) ).
fof(fc3_borsuk_5, axiom,  ~ (v1_xboole_0(k1_borsuk_5)) ).
fof(fc4_borsuk_5, axiom,  (! [A, B] :  ( (v1_rat_1(A) &  (v1_xreal_0(B) &  ~ (v1_rat_1(B)) ) )  =>  ~ (v1_rat_1(k2_xcmplx_0(A, B))) ) ) ).
fof(fc5_borsuk_5, axiom,  (! [A, B] :  ( (v1_rat_1(A) &  (v1_xreal_0(B) &  ~ (v1_rat_1(B)) ) )  =>  ~ (v1_rat_1(k2_xcmplx_0(B, A))) ) ) ).
fof(fc6_borsuk_5, axiom,  (! [A] :  ( (v1_xreal_0(A) &  ~ (v1_rat_1(A)) )  =>  (v1_xcmplx_0(k4_xcmplx_0(A)) &  ~ (v1_rat_1(k4_xcmplx_0(A))) ) ) ) ).
fof(fc7_borsuk_5, axiom,  (! [A, B] :  ( (v1_rat_1(A) &  (v1_xreal_0(B) &  ~ (v1_rat_1(B)) ) )  =>  ~ (v1_rat_1(k6_xcmplx_0(A, B))) ) ) ).
fof(fc8_borsuk_5, axiom,  (! [A, B] :  ( (v1_rat_1(A) &  (v1_xreal_0(B) &  ~ (v1_rat_1(B)) ) )  =>  ~ (v1_rat_1(k6_xcmplx_0(B, A))) ) ) ).
fof(cc2_borsuk_5, axiom,  (! [A] :  ( (v1_xreal_0(A) &  ~ (v1_rat_1(A)) )  =>  ( ~ (v8_ordinal1(A))  & v1_xreal_0(A)) ) ) ).
fof(fc9_borsuk_5, axiom,  (! [A] :  ( (v1_xreal_0(A) &  ~ (v1_rat_1(A)) )  =>  ~ (v1_rat_1(k3_int_1(A))) ) ) ).
fof(rc3_borsuk_5, axiom,  (? [A] :  ( ~ (v8_ordinal1(A))  &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_xxreal_0(A) & v1_rat_1(A)) ) ) ) ) ).
fof(fc10_borsuk_5, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  & v1_rat_1(A))  &  (v1_xreal_0(B) &  ~ (v1_rat_1(B)) ) )  =>  ~ (v1_rat_1(k3_xcmplx_0(A, B))) ) ) ).
fof(fc11_borsuk_5, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  & v1_rat_1(A))  &  (v1_xreal_0(B) &  ~ (v1_rat_1(B)) ) )  =>  ~ (v1_rat_1(k3_xcmplx_0(B, A))) ) ) ).
fof(fc12_borsuk_5, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  & v1_rat_1(A))  &  (v1_xreal_0(B) &  ~ (v1_rat_1(B)) ) )  =>  ~ (v1_rat_1(k7_xcmplx_0(A, B))) ) ) ).
fof(fc13_borsuk_5, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  & v1_rat_1(A))  &  (v1_xreal_0(B) &  ~ (v1_rat_1(B)) ) )  =>  ~ (v1_rat_1(k7_xcmplx_0(B, A))) ) ) ).
fof(fc14_borsuk_5, axiom,  (! [A, B] :  ( ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  &  (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  => v3_rcomp_1(k3_xboole_0(A, B))) ) ).
fof(fc15_borsuk_5, axiom,  (! [A, B] :  ( ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  &  (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  => v3_rcomp_1(k2_xboole_0(A, B))) ) ).
fof(fc16_borsuk_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ (v1_xboole_0(k4_xxreal_1(A, k1_xxreal_0))) ) ) ).
fof(fc17_borsuk_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ (v1_xboole_0(k3_xxreal_1(k2_xxreal_0, A))) ) ) ).
fof(fc18_borsuk_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ (v1_xboole_0(k4_xxreal_1(k2_xxreal_0, A))) ) ) ).
fof(fc19_borsuk_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ (v1_xboole_0(k2_xxreal_1(A, k1_xxreal_0))) ) ) ).
fof(rc4_borsuk_5, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) &  ( ~ (v1_xboole_0(B))  &  (v1_tops_2(B, A) & v2_tops_2(B, A)) ) ) ) ) ) ).
fof(t2_borsuk_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] : k4_enumset1(A, B, C, D, E, F)=k2_xboole_0(k1_enumset1(A, C, F), k1_enumset1(B, D, E))) ) ) ) ) ) ).
fof(t3_borsuk_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (r4_zfmisc_1(A, B, C, D, E, F) => k4_card_1(k4_enumset1(A, B, C, D, E, F))=6) ) ) ) ) ) ) ).
fof(t4_borsuk_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (r5_zfmisc_1(A, B, C, D, E, F, G) => k4_card_1(k5_enumset1(A, B, C, D, E, F, G))=7) ) ) ) ) ) ) ) ).
fof(t5_borsuk_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (r1_subset_1(k1_enumset1(A, B, C), k1_enumset1(D, E, F)) =>  ( ~ (A=D)  &  ( ~ (A=E)  &  ( ~ (A=F)  &  ( ~ (B=D)  &  ( ~ (B=E)  &  ( ~ (B=F)  &  ( ~ (C=D)  &  ( ~ (C=E)  &  ~ (C=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_borsuk_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( (r1_zfmisc_1(A, B, C) &  (r1_zfmisc_1(D, E, F) & r1_subset_1(k1_enumset1(A, B, C), k1_enumset1(D, E, F))) )  => r4_zfmisc_1(A, B, C, D, E, F)) ) ) ) ) ) ) ).
fof(t7_borsuk_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  ( (r4_zfmisc_1(A, B, C, D, E, F) & r1_subset_1(k4_enumset1(A, B, C, D, E, F), k1_tarski(G)))  => r5_zfmisc_1(A, B, C, D, E, F, G)) ) ) ) ) ) ) ) ).
fof(t8_borsuk_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (r5_zfmisc_1(A, B, C, D, E, F, G) => r5_zfmisc_1(G, A, B, C, D, E, F)) ) ) ) ) ) ) ) ).
fof(t9_borsuk_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (r5_zfmisc_1(A, B, C, D, E, F, G) => r5_zfmisc_1(A, B, E, C, F, G, D)) ) ) ) ) ) ) ) ).
fof(t10_borsuk_5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (r1_xxreal_0(D, E) &  (A=k3_rcomp_1(C, D) & B=k4_rcomp_1(E, F)) )  =>  (r1_xxreal_0(D, C) |  (r1_xxreal_0(F, E) | r1_connsp_1(k3_topmetr, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_borsuk_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_xxreal_0(A, C) & r1_xxreal_0(C, B))  => k4_subset_1(k1_numbers, k1_rcomp_1(A, B), k3_rcomp_1(C, k1_xxreal_0))=k3_rcomp_1(A, k1_xxreal_0)) ) ) ) ) ) ) ).
fof(t12_borsuk_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_xxreal_0(A, C) & r1_xxreal_0(C, B))  => k4_subset_1(k1_numbers, k4_rcomp_1(k2_xxreal_0, C), k1_rcomp_1(A, B))=k4_rcomp_1(k2_xxreal_0, B)) ) ) ) ) ) ) ).
fof(t13_borsuk_5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k7_metric_1)) =>  (r2_tarski(B, k2_pre_topc(k3_topmetr, A)) <=>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  & r1_xboole_0(k8_metric_1(k7_metric_1, B, C), A)) ) ) ) ) ) ) ) ) ).
fof(t14_borsuk_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k7_metric_1)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k7_metric_1)) =>  (r1_xxreal_0(A, B) => k3_metric_1(k7_metric_1, A, B)=k6_xcmplx_0(B, A)) ) ) ) ) ).
fof(t15_borsuk_5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (A=k3_numbers => k2_pre_topc(k3_topmetr, A)=u1_struct_0(k3_topmetr)) ) ) ).
fof(t16_borsuk_5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (A=k2_rcomp_1(B, C) =>  (B=C | k2_pre_topc(k3_topmetr, A)=k1_rcomp_1(B, C)) ) ) ) ) ) ) ) ).
fof(d1_borsuk_5, axiom, k1_borsuk_5=k6_subset_1(k1_numbers, k3_numbers)).
fof(d2_borsuk_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k2_borsuk_5(A, B)=k9_subset_1(k1_numbers, k3_numbers, k2_rcomp_1(A, B))) ) ) ) ).
fof(d3_borsuk_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k3_borsuk_5(A, B)=k9_subset_1(k1_numbers, k1_borsuk_5, k2_rcomp_1(A, B))) ) ) ) ).
fof(t17_borsuk_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (v1_rat_1(A))  <=> r2_hidden(A, k1_borsuk_5)) ) ) ).
fof(t18_borsuk_5, axiom,  (! [A] :  (v1_rat_1(A) =>  (! [B] :  ( (v1_xreal_0(B) &  ~ (v1_rat_1(B)) )  =>  ~ (v1_rat_1(k2_xcmplx_0(A, B))) ) ) ) ) ).
fof(t19_borsuk_5, axiom,  (! [A] :  ( (v1_xreal_0(A) &  ~ (v1_rat_1(A)) )  =>  ~ (v1_rat_1(k4_xcmplx_0(A))) ) ) ).
fof(t20_borsuk_5, axiom,  (! [A] :  (v1_rat_1(A) =>  (! [B] :  ( (v1_xreal_0(B) &  ~ (v1_rat_1(B)) )  =>  ~ (v1_rat_1(k6_xcmplx_0(A, B))) ) ) ) ) ).
fof(t21_borsuk_5, axiom,  (! [A] :  (v1_rat_1(A) =>  (! [B] :  ( (v1_xreal_0(B) &  ~ (v1_rat_1(B)) )  =>  ~ (v1_rat_1(k6_xcmplx_0(B, A))) ) ) ) ) ).
fof(t22_borsuk_5, axiom,  (! [A] :  (v1_rat_1(A) =>  (! [B] :  ( (v1_xreal_0(B) &  ~ (v1_rat_1(B)) )  =>  ~ ( ( ~ (A=k5_numbers)  & v1_rat_1(k3_xcmplx_0(A, B))) ) ) ) ) ) ).
fof(t23_borsuk_5, axiom,  (! [A] :  (v1_rat_1(A) =>  (! [B] :  ( (v1_xreal_0(B) &  ~ (v1_rat_1(B)) )  =>  ~ ( ( ~ (A=k5_numbers)  & v1_rat_1(k7_xcmplx_0(B, A))) ) ) ) ) ) ).
fof(t24_borsuk_5, axiom,  (! [A] :  (v1_rat_1(A) =>  (! [B] :  ( (v1_xreal_0(B) &  ~ (v1_rat_1(B)) )  =>  ~ ( ( ~ (A=k5_numbers)  & v1_rat_1(k7_xcmplx_0(A, B))) ) ) ) ) ) ).
fof(t25_borsuk_5, axiom,  (! [A] :  ( (v1_xreal_0(A) &  ~ (v1_rat_1(A)) )  =>  ~ (v1_rat_1(k3_int_1(A))) ) ) ).
fof(t26_borsuk_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  (! [C] :  (v1_rat_1(C) =>  (! [D] :  (v1_rat_1(D) =>  ~ ( ( ~ (r1_xxreal_0(C, A))  &  ( ~ (r1_xxreal_0(D, C))  &  ~ (r1_xxreal_0(B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_borsuk_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  (! [C] :  ( (v1_xreal_0(C) &  ~ (v1_rat_1(C)) )  =>  ~ ( ( ~ (r1_xxreal_0(C, A))  &  ~ (r1_xxreal_0(B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_borsuk_5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (A=k1_borsuk_5 => k2_pre_topc(k3_topmetr, A)=u1_struct_0(k3_topmetr)) ) ) ).
fof(t29_borsuk_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, k2_borsuk_5(A, B)) <=>  (v1_rat_1(C) &  ( ~ (r1_xxreal_0(C, A))  &  ~ (r1_xxreal_0(B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t30_borsuk_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, k3_borsuk_5(A, B)) <=>  ( ~ (v1_rat_1(C))  &  ( ~ (r1_xxreal_0(C, A))  &  ~ (r1_xxreal_0(B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t31_borsuk_5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (A=k2_borsuk_5(B, C) =>  (r1_xxreal_0(C, B) | k2_pre_topc(k3_topmetr, A)=k1_rcomp_1(B, C)) ) ) ) ) ) ) ) ).
fof(t32_borsuk_5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (A=k3_borsuk_5(B, C) =>  (r1_xxreal_0(C, B) | k2_pre_topc(k3_topmetr, A)=k1_rcomp_1(B, C)) ) ) ) ) ) ) ) ).
fof(t33_borsuk_5, axiom,  (! [A] :  ( (v2_pre_topc(A) &  (v1_connsp_1(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v3_pre_topc(B, A) &  (v4_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (B=k1_xboole_0 | B=k2_struct_0(A)) ) ) ) ) ).
fof(t34_borsuk_5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  ~ ( (v4_pre_topc(A, k3_topmetr) &  (v3_pre_topc(A, k3_topmetr) &  ( ~ (A=k1_xboole_0)  &  ~ (A=k1_numbers) ) ) ) ) ) ) ).
fof(t35_borsuk_5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (A=k3_rcomp_1(B, C) =>  (B=C | k2_pre_topc(k3_topmetr, A)=k1_rcomp_1(B, C)) ) ) ) ) ) ) ) ).
fof(t36_borsuk_5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (A=k4_rcomp_1(B, C) =>  (B=C | k2_pre_topc(k3_topmetr, A)=k1_rcomp_1(B, C)) ) ) ) ) ) ) ) ).
fof(t37_borsuk_5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (A=k4_subset_1(k1_numbers, k3_rcomp_1(B, C), k4_rcomp_1(C, D)) =>  (r1_xxreal_0(C, B) |  (r1_xxreal_0(D, C) | k2_pre_topc(k3_topmetr, A)=k1_rcomp_1(B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_borsuk_5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (A=k1_seq_4(B) => k2_pre_topc(k3_topmetr, A)=k1_seq_4(B)) ) ) ) ) ).
fof(t39_borsuk_5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (A=B =>  (v3_rcomp_1(A) <=> v3_pre_topc(B, k3_topmetr)) ) ) ) ) ) ).
fof(t40_borsuk_5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  (v1_xxreal_0(C) =>  (A=k2_rcomp_1(B, C) => v3_pre_topc(A, k3_topmetr)) ) ) ) ) ) ) ).
fof(t41_borsuk_5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (A=k4_rcomp_1(k2_xxreal_0, B) => v4_pre_topc(A, k3_topmetr)) ) ) ) ) ).
fof(t42_borsuk_5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (A=k3_rcomp_1(B, k1_xxreal_0) => v4_pre_topc(A, k3_topmetr)) ) ) ) ) ).
fof(t43_borsuk_5, axiom,  (! [A] :  (v1_xreal_0(A) => k3_rcomp_1(A, k1_xxreal_0)=k4_subset_1(k1_numbers, k1_seq_4(A), k2_rcomp_1(A, k1_xxreal_0))) ) ).
fof(t44_borsuk_5, axiom,  (! [A] :  (v1_xreal_0(A) => k4_rcomp_1(k2_xxreal_0, A)=k4_subset_1(k1_numbers, k1_seq_4(A), k2_rcomp_1(k2_xxreal_0, A))) ) ).
fof(t45_borsuk_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ (k2_rcomp_1(A, k1_xxreal_0)=k1_numbers) ) ) ).
fof(t46_borsuk_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ (k3_rcomp_1(A, k1_xxreal_0)=k1_numbers) ) ) ).
fof(t47_borsuk_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ (k4_rcomp_1(k2_xxreal_0, A)=k1_numbers) ) ) ).
fof(t48_borsuk_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ (k2_rcomp_1(k2_xxreal_0, A)=k1_numbers) ) ) ).
fof(t49_borsuk_5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (A=k2_rcomp_1(B, k1_xxreal_0) => k2_pre_topc(k3_topmetr, A)=k3_rcomp_1(B, k1_xxreal_0)) ) ) ) ) ).
fof(t50_borsuk_5, axiom,  (! [A] :  (v1_xreal_0(A) => k5_measure6(k2_rcomp_1(A, k1_xxreal_0))=k3_rcomp_1(A, k1_xxreal_0)) ) ).
fof(t51_borsuk_5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (A=k2_rcomp_1(k2_xxreal_0, B) => k2_pre_topc(k3_topmetr, A)=k4_rcomp_1(k2_xxreal_0, B)) ) ) ) ) ).
fof(t52_borsuk_5, axiom,  (! [A] :  (v1_xreal_0(A) => k5_measure6(k2_rcomp_1(k2_xxreal_0, A))=k4_rcomp_1(k2_xxreal_0, A)) ) ).
fof(t53_borsuk_5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [C] :  (v1_xreal_0(C) =>  ( (A=k2_rcomp_1(k2_xxreal_0, C) & B=k2_rcomp_1(C, k1_xxreal_0))  => r1_connsp_1(k3_topmetr, A, B)) ) ) ) ) ) ) ).
fof(t54_borsuk_5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (A=k4_subset_1(k1_numbers, k3_rcomp_1(B, C), k2_rcomp_1(C, k1_xxreal_0)) =>  (r1_xxreal_0(C, B) | k2_pre_topc(k3_topmetr, A)=k3_rcomp_1(B, k1_xxreal_0)) ) ) ) ) ) ) ) ).
fof(t55_borsuk_5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (A=k4_subset_1(k1_numbers, k2_rcomp_1(B, C), k2_rcomp_1(C, k1_xxreal_0)) =>  (r1_xxreal_0(C, B) | k2_pre_topc(k3_topmetr, A)=k3_rcomp_1(B, k1_xxreal_0)) ) ) ) ) ) ) ) ).
fof(t56_borsuk_5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (A=k4_subset_1(k1_numbers, k4_subset_1(k1_numbers, k2_borsuk_5(B, C), k2_rcomp_1(C, D)), k2_rcomp_1(D, k1_xxreal_0)) =>  (r1_xxreal_0(C, B) |  (r1_xxreal_0(D, C) | k2_pre_topc(k3_topmetr, A)=k3_rcomp_1(B, k1_xxreal_0)) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_borsuk_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => r1_xboole_0(k3_borsuk_5(A, B), k2_borsuk_5(A, B))) ) ) ) ).
fof(t58_borsuk_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k6_subset_1(k1_numbers, k2_borsuk_5(A, B))=k4_subset_1(k1_numbers, k4_subset_1(k1_numbers, k4_rcomp_1(k2_xxreal_0, A), k3_borsuk_5(A, B)), k3_rcomp_1(B, k1_xxreal_0))) ) ) ) ).
fof(t59_borsuk_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(B, A))  => k7_subset_1(k1_numbers, k3_rcomp_1(A, k1_xxreal_0), k4_subset_1(k1_numbers, k2_rcomp_1(A, B), k2_rcomp_1(B, k1_xxreal_0)))=k4_subset_1(k1_numbers, k1_seq_4(A), k1_seq_4(B))) ) ) ) ) ).
fof(t60_borsuk_5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (A=k4_subset_1(k1_numbers, k4_subset_1(k1_numbers, k2_borsuk_5(2, 4), k2_rcomp_1(4, 5)), k2_rcomp_1(5, k1_xxreal_0)) => k3_subset_1(u1_struct_0(k3_topmetr), A)=k4_subset_1(k1_numbers, k4_subset_1(k1_numbers, k4_subset_1(k1_numbers, k4_rcomp_1(k2_xxreal_0, 2), k3_borsuk_5(2, 4)), k1_seq_4(4)), k1_seq_4(5))) ) ) ).
fof(t61_borsuk_5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (A=k1_seq_4(B) => k3_subset_1(u1_struct_0(k3_topmetr), A)=k4_subset_1(k1_numbers, k2_rcomp_1(k2_xxreal_0, B), k2_rcomp_1(B, k1_xxreal_0))) ) ) ) ) ).
fof(t62_borsuk_5, axiom, k9_subset_1(k1_numbers, k4_subset_1(k1_numbers, k2_rcomp_1(k2_xxreal_0, 1), k2_rcomp_1(1, k1_xxreal_0)), k4_subset_1(k1_numbers, k4_subset_1(k1_numbers, k4_subset_1(k1_numbers, k4_rcomp_1(k2_xxreal_0, 2), k3_borsuk_5(2, 4)), k1_seq_4(4)), k1_seq_4(5)))=k4_subset_1(k1_numbers, k4_subset_1(k1_numbers, k4_subset_1(k1_numbers, k4_subset_1(k1_numbers, k2_rcomp_1(k2_xxreal_0, 1), k4_rcomp_1(1, 2)), k3_borsuk_5(2, 4)), k1_seq_4(4)), k1_seq_4(5))).
fof(t63_borsuk_5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_xxreal_0(B, C) & A=k4_subset_1(k1_numbers, k1_seq_4(B), k3_rcomp_1(C, k1_xxreal_0)))  => k3_subset_1(u1_struct_0(k3_topmetr), A)=k4_subset_1(k1_numbers, k2_rcomp_1(k2_xxreal_0, B), k2_rcomp_1(B, C))) ) ) ) ) ) ) ).
fof(t64_borsuk_5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (A=k4_subset_1(k1_numbers, k2_rcomp_1(k2_xxreal_0, B), k2_rcomp_1(B, C)) =>  (r1_xxreal_0(C, B) | k2_pre_topc(k3_topmetr, A)=k4_rcomp_1(k2_xxreal_0, C)) ) ) ) ) ) ) ) ).
fof(t65_borsuk_5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (A=k4_subset_1(k1_numbers, k2_rcomp_1(k2_xxreal_0, B), k4_rcomp_1(B, C)) =>  (r1_xxreal_0(C, B) | k2_pre_topc(k3_topmetr, A)=k4_rcomp_1(k2_xxreal_0, C)) ) ) ) ) ) ) ) ).
fof(t66_borsuk_5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (A=k4_subset_1(k1_numbers, k4_subset_1(k1_numbers, k4_subset_1(k1_numbers, k2_rcomp_1(k2_xxreal_0, B), k4_rcomp_1(B, C)), k3_borsuk_5(C, D)), k1_seq_4(D)) =>  (r1_xxreal_0(C, B) |  (r1_xxreal_0(D, C) | k2_pre_topc(k3_topmetr, A)=k4_rcomp_1(k2_xxreal_0, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_borsuk_5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (A=k4_subset_1(k1_numbers, k4_subset_1(k1_numbers, k4_subset_1(k1_numbers, k4_subset_1(k1_numbers, k2_rcomp_1(k2_xxreal_0, B), k4_rcomp_1(B, C)), k3_borsuk_5(C, D)), k1_seq_4(D)), k1_seq_4(E)) =>  (r1_xxreal_0(C, B) |  (r1_xxreal_0(D, C) | k2_pre_topc(k3_topmetr, A)=k4_subset_1(k1_numbers, k4_rcomp_1(k2_xxreal_0, D), k1_seq_4(E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_borsuk_5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_xxreal_0(B, C) & A=k4_subset_1(k1_numbers, k4_rcomp_1(k2_xxreal_0, B), k1_seq_4(C)))  => k3_subset_1(u1_struct_0(k3_topmetr), A)=k4_subset_1(k1_numbers, k2_rcomp_1(B, C), k2_rcomp_1(C, k1_xxreal_0))) ) ) ) ) ) ) ).
fof(t69_borsuk_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ (k4_subset_1(k1_numbers, k3_rcomp_1(A, k1_xxreal_0), k1_seq_4(B))=k1_numbers) ) ) ) ) ).
fof(t70_borsuk_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ (k4_subset_1(k1_numbers, k4_rcomp_1(k2_xxreal_0, A), k1_seq_4(B))=k1_numbers) ) ) ) ) ).
fof(t71_borsuk_5, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( ~ (B=C)  & k3_subset_1(u1_struct_0(A), B)=k3_subset_1(u1_struct_0(A), C)) ) ) ) ) ) ) ) ).
fof(t72_borsuk_5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (k1_numbers=k3_subset_1(u1_struct_0(k3_topmetr), A) => A=k1_xboole_0) ) ) ).
fof(t73_borsuk_5, axiom,  (! [A] :  ( (v2_compts_1(A, k3_topmetr) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (B=A =>  (v4_xxreal_2(B) & v3_xxreal_2(B)) ) ) ) ) ) ).
fof(t74_borsuk_5, axiom,  (! [A] :  ( (v2_compts_1(A, k3_topmetr) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r2_hidden(C, B) & B=A)  =>  (r1_xxreal_0(k3_seq_4(B), C) & r1_xxreal_0(C, k2_seq_4(B))) ) ) ) ) ) ) ) ).
fof(t75_borsuk_5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_connsp_1(A, k3_topmetr) &  (v2_compts_1(A, k3_topmetr) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr)))) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  ( (A=B & r1_tarski(k1_rcomp_1(k3_seq_4(B), k2_seq_4(B)), B))  => k1_rcomp_1(k3_seq_4(B), k2_seq_4(B))=B) ) ) ) ) ).
fof(t76_borsuk_5, axiom,  (! [A] :  ( (v2_connsp_1(A, k3_topmetr) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(B, C) &  (r1_xxreal_0(C, D) &  (r2_hidden(B, A) & r2_hidden(D, A)) ) )  => r2_hidden(C, A)) ) ) ) ) ) ) ) ) ).
fof(t77_borsuk_5, axiom,  (! [A] :  ( (v2_connsp_1(A, k3_topmetr) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r2_hidden(B, A) & r2_hidden(C, A))  => r1_tarski(k1_rcomp_1(B, C), A)) ) ) ) ) ) ) ).
fof(t78_borsuk_5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_connsp_1(A, k3_topmetr) &  (v2_compts_1(A, k3_topmetr) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr)))) ) )  =>  ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) ) ) ) ).
fof(t79_borsuk_5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_connsp_1(A, k3_topmetr) &  (v2_compts_1(A, k3_topmetr) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr)))) ) )  =>  (? [B] :  (v1_xreal_0(B) &  (? [C] :  (v1_xreal_0(C) &  (r1_xxreal_0(B, C) & A=k1_rcomp_1(B, C)) ) ) ) ) ) ) ).
fof(dt_k1_borsuk_5, axiom, m1_subset_1(k1_borsuk_5, k1_zfmisc_1(k1_numbers))).
fof(dt_k2_borsuk_5, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => m1_subset_1(k2_borsuk_5(A, B), k1_zfmisc_1(k1_numbers))) ) ).
fof(dt_k3_borsuk_5, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => m1_subset_1(k3_borsuk_5(A, B), k1_zfmisc_1(k1_numbers))) ) ).
fof(rc1_borsuk_6, axiom,  (? [A] :  (l1_struct_0(A) &  ( ~ (v2_struct_0(A))  & v3_topmetr(A)) ) ) ).
fof(rc2_borsuk_6, axiom,  (? [A] :  (l1_pre_topc(A) &  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v3_topmetr(A)) ) ) ) ).
fof(cc1_borsuk_6, axiom,  (! [A] :  ( (v3_topmetr(A) & l1_struct_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v1_xreal_0(B)) ) ) ) ).
fof(cc2_borsuk_6, axiom,  (! [A] :  ( (v3_topmetr(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_pre_topc(B, A) => v3_topmetr(B)) ) ) ) ).
fof(fc1_borsuk_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v3_topmetr(A) & l1_pre_topc(A)) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v3_topmetr(B) & l1_pre_topc(B)) ) )  & m1_subset_1(C, u1_struct_0(k2_borsuk_1(A, B)))) )  => v1_xreal_0(k1_xtuple_0(C))) ) ).
fof(fc2_borsuk_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v3_topmetr(A) & l1_pre_topc(A)) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v3_topmetr(B) & l1_pre_topc(B)) ) )  & m1_subset_1(C, u1_struct_0(k2_borsuk_1(A, B)))) )  => v1_xreal_0(k2_xtuple_0(C))) ) ).
fof(fc3_borsuk_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & m1_pre_topc(A, k2_borsuk_1(k5_topmetr, k5_topmetr)))  & m1_subset_1(B, u1_struct_0(A)))  => v1_xreal_0(k1_xtuple_0(B))) ) ).
fof(fc4_borsuk_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & m1_pre_topc(A, k2_borsuk_1(k5_topmetr, k5_topmetr)))  & m1_subset_1(B, u1_struct_0(A)))  => v1_xreal_0(k2_xtuple_0(B))) ) ).
fof(rc3_borsuk_6, axiom,  (! [A] :  (l1_pre_topc(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  (v1_xboole_0(B) & v2_compts_1(B, A)) ) ) ) ) ).
fof(fc5_borsuk_6, axiom,  (v1_funct_1(k3_borsuk_6) &  (v1_funct_2(k3_borsuk_6, u1_struct_0(k5_topmetr), u1_struct_0(k5_topmetr)) & v5_pre_topc(k3_borsuk_6, k5_topmetr, k5_topmetr)) ) ).
fof(fc6_borsuk_6, axiom,  (v1_funct_1(k4_borsuk_6) &  (v1_funct_2(k4_borsuk_6, u1_struct_0(k5_topmetr), u1_struct_0(k5_topmetr)) & v5_pre_topc(k4_borsuk_6, k5_topmetr, k5_topmetr)) ) ).
fof(fc7_borsuk_6, axiom,  (v1_funct_1(k5_borsuk_6) &  (v1_funct_2(k5_borsuk_6, u1_struct_0(k5_topmetr), u1_struct_0(k5_topmetr)) & v5_pre_topc(k5_borsuk_6, k5_topmetr, k5_topmetr)) ) ).
fof(fc8_borsuk_6, axiom,  ( ~ (v1_xboole_0(k6_borsuk_6))  & v4_pre_topc(k6_borsuk_6, k2_borsuk_1(k5_topmetr, k5_topmetr))) ).
fof(fc9_borsuk_6, axiom,  ( ~ (v1_xboole_0(k7_borsuk_6))  & v4_pre_topc(k7_borsuk_6, k2_borsuk_1(k5_topmetr, k5_topmetr))) ).
fof(fc10_borsuk_6, axiom,  ( ~ (v1_xboole_0(k8_borsuk_6))  & v4_pre_topc(k8_borsuk_6, k2_borsuk_1(k5_topmetr, k5_topmetr))) ).
fof(t1_borsuk_6, axiom, u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr))=k8_mcart_1(k1_numbers, k1_numbers, k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1))).
fof(t2_borsuk_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_xxreal_0(A, C) & r1_xxreal_0(C, B))  => r2_tarski(k7_xcmplx_0(k6_xcmplx_0(C, A), k6_xcmplx_0(B, A)), u1_struct_0(k4_topmetr(k5_numbers, 1)))) ) ) ) ) ) ) ).
fof(t3_borsuk_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_topmetr)) =>  (r1_xxreal_0(A, k7_xcmplx_0(1, 2)) => m1_subset_1(k3_xcmplx_0(2, A), u1_struct_0(k5_topmetr))) ) ) ).
fof(t4_borsuk_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_topmetr)) =>  (r1_xxreal_0(k7_xcmplx_0(1, 2), A) => m1_subset_1(k6_xcmplx_0(k3_xcmplx_0(2, A), 1), u1_struct_0(k5_topmetr))) ) ) ).
fof(t5_borsuk_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_topmetr)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_topmetr)) => m1_subset_1(k3_xcmplx_0(A, B), u1_struct_0(k5_topmetr))) ) ) ) ).
fof(t6_borsuk_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_topmetr)) => m1_subset_1(k3_xcmplx_0(k7_xcmplx_0(1, 2), A), u1_struct_0(k5_topmetr))) ) ).
fof(t7_borsuk_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_topmetr)) =>  (r1_xxreal_0(k7_xcmplx_0(1, 2), A) => m1_subset_1(k6_xcmplx_0(A, k7_xcmplx_0(1, 4)), u1_struct_0(k5_topmetr))) ) ) ).
fof(t8_borsuk_6, axiom, m1_borsuk_2(k3_struct_0(k5_topmetr), k17_borsuk_1, k18_borsuk_1, k19_borsuk_1)).
fof(t9_borsuk_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_topmetr)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_topmetr)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_topmetr)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_topmetr)) =>  ( (r1_xxreal_0(A, B) & r1_xxreal_0(C, D))  =>  ( ~ (v1_xboole_0(k8_mcart_1(k1_numbers, k1_numbers, k1_rcomp_1(A, B), k1_rcomp_1(C, D))))  &  (v2_compts_1(k8_mcart_1(k1_numbers, k1_numbers, k1_rcomp_1(A, B), k1_rcomp_1(C, D)), k2_borsuk_1(k5_topmetr, k5_topmetr)) & m1_subset_1(k8_mcart_1(k1_numbers, k1_numbers, k1_rcomp_1(A, B), k1_rcomp_1(C, D)), k1_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_borsuk_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (v3_topmetr(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v1_xreal_0(B)) ) ) ) ) ).
fof(t20_borsuk_6, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k2_borsuk_1(k3_topmetr, k3_topmetr)), u1_struct_0(k15_euclid(2))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k3_topmetr, k3_topmetr)), u1_struct_0(k15_euclid(2)))))) )  &  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) => k1_funct_1(A, k4_tarski(B, C))=k10_finseq_1(B, C)) ) ) ) ) ) ).
fof(t27_borsuk_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_borsuk_1(A, B))) =>  (m1_subset_1(k1_xfamily(C), u1_struct_0(A)) & m1_subset_1(k2_xfamily(C), u1_struct_0(B))) ) ) ) ) ) ) ).
fof(t28_borsuk_6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)))) =>  ( (A=k8_mcart_1(k1_numbers, k1_numbers, k1_rcomp_1(k5_numbers, k7_xcmplx_0(1, 2)), k1_rcomp_1(k5_numbers, 1)) & B=k8_mcart_1(k1_numbers, k1_numbers, k1_rcomp_1(k7_xcmplx_0(1, 2), 1), k1_rcomp_1(k5_numbers, 1)))  => k2_xboole_0(k2_struct_0(k1_pre_topc(k2_borsuk_1(k5_topmetr, k5_topmetr), A)), k2_struct_0(k1_pre_topc(k2_borsuk_1(k5_topmetr, k5_topmetr), B)))=k2_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr))) ) ) ) ) ).
fof(t29_borsuk_6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)))) =>  ( (A=k8_mcart_1(k1_numbers, k1_numbers, k1_rcomp_1(k5_numbers, k7_xcmplx_0(1, 2)), k1_rcomp_1(k5_numbers, 1)) & B=k8_mcart_1(k1_numbers, k1_numbers, k1_rcomp_1(k7_xcmplx_0(1, 2), 1), k1_rcomp_1(k5_numbers, 1)))  => k9_subset_1(u1_struct_0(k1_pre_topc(k2_borsuk_1(k5_topmetr, k5_topmetr), B)), k2_struct_0(k1_pre_topc(k2_borsuk_1(k5_topmetr, k5_topmetr), A)), k2_struct_0(k1_pre_topc(k2_borsuk_1(k5_topmetr, k5_topmetr), B)))=k2_zfmisc_1(k1_tarski(k7_xcmplx_0(1, 2)), k1_rcomp_1(k5_numbers, 1))) ) ) ) ) ).
fof(t30_borsuk_6, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v1_xboole_0(k1_xboole_0) &  (v2_compts_1(k1_xboole_0, A) & m1_subset_1(k1_xboole_0, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ).
fof(t31_borsuk_6, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(B, C))  =>  (v1_xboole_0(k1_rcomp_1(B, C)) &  (v2_compts_1(k1_rcomp_1(B, C), A) & m1_subset_1(k1_rcomp_1(B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ) ) ) ).
fof(t32_borsuk_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_topmetr)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_topmetr)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_topmetr)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_topmetr)) =>  (v2_compts_1(k8_mcart_1(k1_numbers, k1_numbers, k1_rcomp_1(A, B), k1_rcomp_1(C, D)), k2_borsuk_1(k5_topmetr, k5_topmetr)) & m1_subset_1(k8_mcart_1(k1_numbers, k1_numbers, k1_rcomp_1(A, B), k1_rcomp_1(C, D)), k1_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr))))) ) ) ) ) ) ) ) ) ).
fof(d1_borsuk_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => k1_borsuk_6(A, B, C, D)=k1_partfun1(u1_struct_0(k4_topmetr(A, B)), u1_struct_0(k4_topmetr(k5_numbers, 1)), u1_struct_0(k4_topmetr(k5_numbers, 1)), u1_struct_0(k4_topmetr(C, D)), k4_treal_1(A, B, k1_treal_1(k5_numbers, 1), k2_treal_1(k5_numbers, 1)), k3_treal_1(C, D, k1_treal_1(C, D), k2_treal_1(C, D)))) ) ) ) ) ) ) ) ).
fof(t33_borsuk_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  ( ~ (r1_xxreal_0(D, C))  &  ~ ( (k1_funct_1(k1_borsuk_6(A, B, C, D), A)=C & k1_funct_1(k1_borsuk_6(A, B, C, D), B)=D) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_borsuk_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (r1_xxreal_0(C, D) =>  (r1_xxreal_0(B, A) |  (v1_funct_1(k1_borsuk_6(A, B, C, D)) &  (v1_funct_2(k1_borsuk_6(A, B, C, D), u1_struct_0(k4_topmetr(A, B)), u1_struct_0(k4_topmetr(C, D))) &  (v5_pre_topc(k1_borsuk_6(A, B, C, D), k4_topmetr(A, B), k4_topmetr(C, D)) & m1_subset_1(k1_borsuk_6(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_topmetr(A, B)), u1_struct_0(k4_topmetr(C, D)))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_borsuk_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (r1_xxreal_0(C, D) =>  (r1_xxreal_0(B, A) |  (! [E] :  (v1_xreal_0(E) =>  ( (r1_xxreal_0(A, E) & r1_xxreal_0(E, B))  => k1_funct_1(k1_borsuk_6(A, B, C, D), E)=k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(D, C), k6_xcmplx_0(B, A)), k6_xcmplx_0(E, A)), C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_borsuk_6, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), u1_struct_0(k5_topmetr)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), u1_struct_0(k5_topmetr))))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), u1_struct_0(k5_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), u1_struct_0(k5_topmetr))))) )  =>  ~ ( (v5_pre_topc(A, k2_borsuk_1(k5_topmetr, k5_topmetr), k5_topmetr) &  (v5_pre_topc(B, k2_borsuk_1(k5_topmetr, k5_topmetr), k5_topmetr) &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr))) => m1_subset_1(k3_xcmplx_0(k3_funct_2(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), u1_struct_0(k5_topmetr), A, C), k3_funct_2(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), u1_struct_0(k5_topmetr), B, C)), u1_struct_0(k5_topmetr))) )  &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), u1_struct_0(k5_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), u1_struct_0(k5_topmetr))))) )  =>  ~ ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (k3_funct_2(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), u1_struct_0(k5_topmetr), A, D)=E & k3_funct_2(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), u1_struct_0(k5_topmetr), B, D)=F)  => k3_funct_2(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), u1_struct_0(k5_topmetr), C, D)=k3_xcmplx_0(E, F)) ) ) ) ) ) )  & v5_pre_topc(C, k2_borsuk_1(k5_topmetr, k5_topmetr), k5_topmetr)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_borsuk_6, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), u1_struct_0(k5_topmetr)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), u1_struct_0(k5_topmetr))))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), u1_struct_0(k5_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), u1_struct_0(k5_topmetr))))) )  =>  ~ ( (v5_pre_topc(A, k2_borsuk_1(k5_topmetr, k5_topmetr), k5_topmetr) &  (v5_pre_topc(B, k2_borsuk_1(k5_topmetr, k5_topmetr), k5_topmetr) &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr))) => m1_subset_1(k2_xcmplx_0(k3_funct_2(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), u1_struct_0(k5_topmetr), A, C), k3_funct_2(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), u1_struct_0(k5_topmetr), B, C)), u1_struct_0(k5_topmetr))) )  &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), u1_struct_0(k5_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), u1_struct_0(k5_topmetr))))) )  =>  ~ ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (k3_funct_2(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), u1_struct_0(k5_topmetr), A, D)=E & k3_funct_2(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), u1_struct_0(k5_topmetr), B, D)=F)  => k3_funct_2(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), u1_struct_0(k5_topmetr), C, D)=k2_xcmplx_0(E, F)) ) ) ) ) ) )  & v5_pre_topc(C, k2_borsuk_1(k5_topmetr, k5_topmetr), k5_topmetr)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_borsuk_6, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), u1_struct_0(k5_topmetr)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), u1_struct_0(k5_topmetr))))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), u1_struct_0(k5_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), u1_struct_0(k5_topmetr))))) )  =>  ~ ( (v5_pre_topc(A, k2_borsuk_1(k5_topmetr, k5_topmetr), k5_topmetr) &  (v5_pre_topc(B, k2_borsuk_1(k5_topmetr, k5_topmetr), k5_topmetr) &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr))) => m1_subset_1(k6_xcmplx_0(k3_funct_2(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), u1_struct_0(k5_topmetr), A, C), k3_funct_2(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), u1_struct_0(k5_topmetr), B, C)), u1_struct_0(k5_topmetr))) )  &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), u1_struct_0(k5_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), u1_struct_0(k5_topmetr))))) )  =>  ~ ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (k3_funct_2(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), u1_struct_0(k5_topmetr), A, D)=E & k3_funct_2(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), u1_struct_0(k5_topmetr), B, D)=F)  => k3_funct_2(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), u1_struct_0(k5_topmetr), C, D)=k6_xcmplx_0(E, F)) ) ) ) ) ) )  & v5_pre_topc(C, k2_borsuk_1(k5_topmetr, k5_topmetr), k5_topmetr)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_borsuk_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_borsuk_2(D, A, B, C) =>  (v5_pre_topc(D, k5_topmetr, A) =>  (v1_funct_1(k1_partfun1(u1_struct_0(k4_topmetr(k5_numbers, 1)), u1_struct_0(k4_topmetr(k5_numbers, 1)), u1_struct_0(k5_topmetr), u1_struct_0(A), k3_treal_1(k5_numbers, 1, k2_treal_1(k5_numbers, 1), k1_treal_1(k5_numbers, 1)), D)) &  (v1_funct_2(k1_partfun1(u1_struct_0(k4_topmetr(k5_numbers, 1)), u1_struct_0(k4_topmetr(k5_numbers, 1)), u1_struct_0(k5_topmetr), u1_struct_0(A), k3_treal_1(k5_numbers, 1, k2_treal_1(k5_numbers, 1), k1_treal_1(k5_numbers, 1)), D), u1_struct_0(k5_topmetr), u1_struct_0(A)) &  (v5_pre_topc(k1_partfun1(u1_struct_0(k4_topmetr(k5_numbers, 1)), u1_struct_0(k4_topmetr(k5_numbers, 1)), u1_struct_0(k5_topmetr), u1_struct_0(A), k3_treal_1(k5_numbers, 1, k2_treal_1(k5_numbers, 1), k1_treal_1(k5_numbers, 1)), D), k5_topmetr, A) & m1_subset_1(k1_partfun1(u1_struct_0(k4_topmetr(k5_numbers, 1)), u1_struct_0(k4_topmetr(k5_numbers, 1)), u1_struct_0(k5_topmetr), u1_struct_0(A), k3_treal_1(k5_numbers, 1, k2_treal_1(k5_numbers, 1), k1_treal_1(k5_numbers, 1)), D), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(A))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_borsuk_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_borsuk_2(D, A, B, C) =>  ( (k1_funct_1(D, k5_numbers)=B & k1_funct_1(D, 1)=C)  =>  (k1_funct_1(k1_partfun1(u1_struct_0(k4_topmetr(k5_numbers, 1)), u1_struct_0(k4_topmetr(k5_numbers, 1)), u1_struct_0(k5_topmetr), u1_struct_0(A), k3_treal_1(k5_numbers, 1, k2_treal_1(k5_numbers, 1), k1_treal_1(k5_numbers, 1)), D), k5_numbers)=C & k1_funct_1(k1_partfun1(u1_struct_0(k4_topmetr(k5_numbers, 1)), u1_struct_0(k4_topmetr(k5_numbers, 1)), u1_struct_0(k5_topmetr), u1_struct_0(A), k3_treal_1(k5_numbers, 1, k2_treal_1(k5_numbers, 1), k1_treal_1(k5_numbers, 1)), D), 1)=B) ) ) ) ) ) ) ) ) ) ).
fof(t41_borsuk_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_borsuk_2(D, A, B, C) =>  ( (v5_pre_topc(D, k5_topmetr, A) &  (k1_funct_1(D, k5_numbers)=B & k1_funct_1(D, 1)=C) )  =>  (v5_pre_topc(k2_borsuk_2(A, B, C, D), k5_topmetr, A) &  (k1_funct_1(k2_borsuk_2(A, B, C, D), k5_numbers)=C & k1_funct_1(k2_borsuk_2(A, B, C, D), 1)=B) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_borsuk_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_borsuk_6(A, B, C) & r1_borsuk_6(A, C, D))  => r1_borsuk_6(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t43_borsuk_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_borsuk_6(A, B, C) =>  (! [D] :  (m1_borsuk_2(D, A, B, C) => r2_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(A), D, k2_borsuk_2(A, C, B, k2_borsuk_2(A, B, C, D)))) ) ) ) ) ) ) ) ) ).
fof(t44_borsuk_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_borsuk_2(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_borsuk_2(D, A, B, C) => r2_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(A), D, k2_borsuk_2(A, C, B, k2_borsuk_2(A, B, C, D)))) ) ) ) ) ) ) ) ).
fof(d2_borsuk_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_borsuk_2(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_borsuk_2(E, A, B, C) =>  (! [F] :  (m1_borsuk_2(F, A, C, D) =>  (! [G] :  (m1_borsuk_2(G, A, B, D) =>  (G=k1_borsuk_2(A, B, C, D, E, F) <=>  (! [H] :  (m1_subset_1(H, u1_struct_0(k5_topmetr)) =>  ( (r1_xxreal_0(H, k7_xcmplx_0(1, 2)) => k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(A), G, H)=k1_funct_1(E, k3_xcmplx_0(2, H)))  &  (r1_xxreal_0(k7_xcmplx_0(1, 2), H) => k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(A), G, H)=k1_funct_1(F, k6_xcmplx_0(k3_xcmplx_0(2, H), 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_borsuk_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_borsuk_2(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_borsuk_2(D, A, B, C) =>  (! [E] :  (m1_borsuk_2(E, A, C, B) =>  (E=k2_borsuk_2(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(k5_topmetr)) => k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(A), E, F)=k1_funct_1(D, k6_xcmplx_0(1, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_borsuk_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_borsuk_2(D, A, B, C) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k5_topmetr), u1_struct_0(k5_topmetr)) &  (v5_pre_topc(E, k5_topmetr, k5_topmetr) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k5_topmetr))))) ) )  =>  ( (k1_funct_1(E, k5_numbers)=k5_numbers &  (k1_funct_1(E, 1)=1 & r1_borsuk_6(A, B, C)) )  => k2_borsuk_6(A, B, C, D, E)=k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k5_topmetr), u1_struct_0(k5_topmetr), u1_struct_0(A), E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_borsuk_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_borsuk_2(D, A, B, C) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k5_topmetr), u1_struct_0(k5_topmetr)) &  (v5_pre_topc(E, k5_topmetr, k5_topmetr) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k5_topmetr))))) ) )  =>  ( (k1_funct_1(E, k5_numbers)=k5_numbers &  (k1_funct_1(E, 1)=1 & r1_borsuk_6(A, B, C)) )  => r3_borsuk_2(A, B, C, k2_borsuk_6(A, B, C, D, E), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_borsuk_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_borsuk_2(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_borsuk_2(D, A, B, C) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k5_topmetr), u1_struct_0(k5_topmetr)) &  (v5_pre_topc(E, k5_topmetr, k5_topmetr) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k5_topmetr))))) ) )  =>  ( (k1_funct_1(E, k5_numbers)=k5_numbers & k1_funct_1(E, 1)=1)  => r4_borsuk_2(A, B, C, k2_borsuk_6(A, B, C, D, E), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_borsuk_6, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k5_topmetr), u1_struct_0(k5_topmetr)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k5_topmetr))))) )  =>  (A=k3_borsuk_6 <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_topmetr)) =>  ( (r1_xxreal_0(B, k7_xcmplx_0(1, 2)) => k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k5_topmetr), A, B)=k3_xcmplx_0(2, B))  &  ( ~ (r1_xxreal_0(B, k7_xcmplx_0(1, 2)))  => k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k5_topmetr), A, B)=1) ) ) ) ) ) ) ).
fof(t47_borsuk_6, axiom,  (k1_funct_1(k3_borsuk_6, k5_numbers)=k5_numbers & k1_funct_1(k3_borsuk_6, 1)=1) ).
fof(d6_borsuk_6, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k5_topmetr), u1_struct_0(k5_topmetr)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k5_topmetr))))) )  =>  (A=k4_borsuk_6 <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_topmetr)) =>  ( (r1_xxreal_0(B, k7_xcmplx_0(1, 2)) => k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k5_topmetr), A, B)=k5_numbers)  &  ( ~ (r1_xxreal_0(B, k7_xcmplx_0(1, 2)))  => k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k5_topmetr), A, B)=k6_xcmplx_0(k3_xcmplx_0(2, B), 1)) ) ) ) ) ) ) ).
fof(t48_borsuk_6, axiom,  (k1_funct_1(k4_borsuk_6, k5_numbers)=k5_numbers & k1_funct_1(k4_borsuk_6, 1)=1) ).
fof(d7_borsuk_6, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k5_topmetr), u1_struct_0(k5_topmetr)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k5_topmetr))))) )  =>  (A=k5_borsuk_6 <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_topmetr)) =>  ( (r1_xxreal_0(B, k7_xcmplx_0(1, 2)) => k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k5_topmetr), A, B)=k3_xcmplx_0(k7_xcmplx_0(1, 2), B))  &  ( (r1_xxreal_0(B, k7_xcmplx_0(3, 4)) =>  (r1_xxreal_0(B, k7_xcmplx_0(1, 2)) | k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k5_topmetr), A, B)=k6_xcmplx_0(B, k7_xcmplx_0(1, 4))) )  &  ( ~ (r1_xxreal_0(B, k7_xcmplx_0(3, 4)))  => k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k5_topmetr), A, B)=k6_xcmplx_0(k3_xcmplx_0(2, B), 1)) ) ) ) ) ) ) ) ).
fof(t49_borsuk_6, axiom,  (k1_funct_1(k5_borsuk_6, k5_numbers)=k5_numbers & k1_funct_1(k5_borsuk_6, 1)=1) ).
fof(t50_borsuk_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_borsuk_2(D, A, B, C) =>  (! [E] :  ( (v3_funct_1(E) & m1_borsuk_2(E, A, C, C))  =>  (r1_borsuk_6(A, B, C) => r2_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(A), k2_borsuk_6(A, B, C, D, k3_borsuk_6), k1_borsuk_2(A, B, C, C, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_borsuk_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_borsuk_2(D, A, B, C) =>  (! [E] :  ( (v3_funct_1(E) & m1_borsuk_2(E, A, B, B))  =>  (r1_borsuk_6(A, B, C) => r2_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(A), k2_borsuk_6(A, B, C, D, k4_borsuk_6), k1_borsuk_2(A, B, B, C, E, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_borsuk_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_borsuk_2(F, A, B, C) =>  (! [G] :  (m1_borsuk_2(G, A, C, D) =>  (! [H] :  (m1_borsuk_2(H, A, D, E) =>  ( (r1_borsuk_6(A, B, C) &  (r1_borsuk_6(A, C, D) & r1_borsuk_6(A, D, E)) )  => r2_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(A), k2_borsuk_6(A, B, E, k1_borsuk_2(A, B, D, E, k1_borsuk_2(A, B, C, D, F, G), H), k5_borsuk_6), k1_borsuk_2(A, B, C, E, F, k1_borsuk_2(A, C, D, E, G, H)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_borsuk_6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)))) =>  (A=k6_borsuk_6 <=>  (! [B] :  (r2_tarski(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k5_topmetr)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(k5_topmetr)) &  (B=k4_borsuk_1(k5_topmetr, k5_topmetr, C, D) & r1_xxreal_0(D, k6_xcmplx_0(1, k3_xcmplx_0(2, C)))) ) ) ) ) ) ) ) ) ) ).
fof(d9_borsuk_6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)))) =>  (A=k7_borsuk_6 <=>  (! [B] :  (r2_tarski(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k5_topmetr)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(k5_topmetr)) &  (B=k4_borsuk_1(k5_topmetr, k5_topmetr, C, D) &  (r1_xxreal_0(k6_xcmplx_0(1, k3_xcmplx_0(2, C)), D) & r1_xxreal_0(k6_xcmplx_0(k3_xcmplx_0(2, C), 1), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_borsuk_6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)))) =>  (A=k8_borsuk_6 <=>  (! [B] :  (r2_tarski(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k5_topmetr)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(k5_topmetr)) &  (B=k4_borsuk_1(k5_topmetr, k5_topmetr, C, D) & r1_xxreal_0(D, k6_xcmplx_0(k3_xcmplx_0(2, C), 1))) ) ) ) ) ) ) ) ) ) ).
fof(t56_borsuk_6, axiom, k4_subset_1(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), k4_subset_1(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), k6_borsuk_6, k7_borsuk_6), k8_borsuk_6)=k8_mcart_1(k1_numbers, k1_numbers, k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1))).
fof(t59_borsuk_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr))) =>  (r2_tarski(A, k6_borsuk_6) => r1_xxreal_0(k1_xfamily(A), k7_xcmplx_0(1, 2))) ) ) ).
fof(t60_borsuk_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr))) =>  (r2_tarski(A, k8_borsuk_6) => r1_xxreal_0(k7_xcmplx_0(1, 2), k1_xfamily(A))) ) ) ).
fof(t61_borsuk_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_topmetr)) => r2_hidden(k4_tarski(k5_numbers, A), k6_borsuk_6)) ) ).
fof(t62_borsuk_6, axiom,  (! [A] :  (r2_hidden(k4_tarski(k5_numbers, A), k7_borsuk_6) => A=1) ) ).
fof(t63_borsuk_6, axiom,  (! [A] :  (r2_hidden(k4_tarski(A, 1), k8_borsuk_6) => A=1) ) ).
fof(t64_borsuk_6, axiom, r2_hidden(k4_tarski(k5_numbers, 1), k7_borsuk_6)).
fof(t65_borsuk_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_topmetr)) => r2_hidden(k4_tarski(A, 1), k7_borsuk_6)) ) ).
fof(t66_borsuk_6, axiom,  (r2_hidden(k4_tarski(k7_xcmplx_0(1, 2), k5_numbers), k8_borsuk_6) & r2_hidden(k4_tarski(1, 1), k8_borsuk_6)) ).
fof(t67_borsuk_6, axiom, r2_hidden(k4_tarski(k7_xcmplx_0(1, 2), k5_numbers), k7_borsuk_6)).
fof(t68_borsuk_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_topmetr)) => r2_hidden(k4_tarski(1, A), k8_borsuk_6)) ) ).
fof(t69_borsuk_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_topmetr)) =>  (r1_xxreal_0(k7_xcmplx_0(1, 2), A) => r2_hidden(k4_tarski(A, k5_numbers), k8_borsuk_6)) ) ) ).
fof(t70_borsuk_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_topmetr)) =>  (r1_xxreal_0(A, k7_xcmplx_0(1, 2)) => r2_hidden(k4_tarski(A, k5_numbers), k6_borsuk_6)) ) ) ).
fof(t71_borsuk_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_topmetr)) =>  ( ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), A))  =>  ( ~ (r2_hidden(k4_tarski(A, k5_numbers), k7_borsuk_6))  &  ~ (r2_hidden(k4_tarski(A, k5_numbers), k8_borsuk_6)) ) ) ) ) ).
fof(t72_borsuk_6, axiom, k9_subset_1(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), k6_borsuk_6, k8_borsuk_6)=k1_tarski(k4_tarski(k7_xcmplx_0(1, 2), k5_numbers))).
fof(t73_borsuk_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_borsuk_2(F, A, B, C) =>  (! [G] :  (m1_borsuk_2(G, A, C, D) =>  (! [H] :  (m1_borsuk_2(H, A, D, E) =>  ( (r1_borsuk_6(A, B, C) &  (r1_borsuk_6(A, C, D) & r1_borsuk_6(A, D, E)) )  => r3_borsuk_2(A, B, E, k1_borsuk_2(A, B, D, E, k1_borsuk_2(A, B, C, D, F, G), H), k1_borsuk_2(A, B, C, E, F, k1_borsuk_2(A, C, D, E, G, H)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t74_borsuk_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_borsuk_2(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_borsuk_2(F, A, B, C) =>  (! [G] :  (m1_borsuk_2(G, A, C, D) =>  (! [H] :  (m1_borsuk_2(H, A, D, E) => r4_borsuk_2(A, B, E, k1_borsuk_2(A, B, D, E, k1_borsuk_2(A, B, C, D, F, G), H), k1_borsuk_2(A, B, C, E, F, k1_borsuk_2(A, C, D, E, G, H)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_borsuk_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_borsuk_2(E, A, B, C) =>  (! [F] :  (m1_borsuk_2(F, A, B, C) =>  (! [G] :  (m1_borsuk_2(G, A, C, D) =>  (! [H] :  (m1_borsuk_2(H, A, C, D) =>  ( (r1_borsuk_6(A, B, C) &  (r1_borsuk_6(A, C, D) &  (r3_borsuk_2(A, B, C, E, F) & r3_borsuk_2(A, C, D, G, H)) ) )  => r3_borsuk_2(A, B, D, k1_borsuk_2(A, B, C, D, E, G), k1_borsuk_2(A, B, C, D, F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t76_borsuk_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_borsuk_2(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_borsuk_2(E, A, B, C) =>  (! [F] :  (m1_borsuk_2(F, A, B, C) =>  (! [G] :  (m1_borsuk_2(G, A, C, D) =>  (! [H] :  (m1_borsuk_2(H, A, C, D) =>  ( (r4_borsuk_2(A, B, C, E, F) & r4_borsuk_2(A, C, D, G, H))  => r4_borsuk_2(A, B, D, k1_borsuk_2(A, B, C, D, E, G), k1_borsuk_2(A, B, C, D, F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t77_borsuk_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_borsuk_2(D, A, B, C) =>  (! [E] :  (m1_borsuk_2(E, A, B, C) =>  ( (r1_borsuk_6(A, B, C) & r3_borsuk_2(A, B, C, D, E))  => r3_borsuk_2(A, C, B, k2_borsuk_2(A, B, C, D), k2_borsuk_2(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t78_borsuk_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_borsuk_2(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_borsuk_2(D, A, B, C) =>  (! [E] :  (m1_borsuk_2(E, A, B, C) =>  (r4_borsuk_2(A, B, C, D, E) => r4_borsuk_2(A, C, B, k2_borsuk_2(A, B, C, D), k2_borsuk_2(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t79_borsuk_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_borsuk_2(D, A, B, C) =>  (! [E] :  (m1_borsuk_2(E, A, B, C) =>  (! [F] :  (m1_borsuk_2(F, A, B, C) =>  ( (r3_borsuk_2(A, B, C, D, E) & r3_borsuk_2(A, B, C, E, F))  => r3_borsuk_2(A, B, C, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t80_borsuk_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_borsuk_2(D, A, B, C) =>  (! [E] :  ( (v3_funct_1(E) & m1_borsuk_2(E, A, C, C))  =>  (r1_borsuk_6(A, B, C) => r3_borsuk_2(A, B, C, k1_borsuk_2(A, B, C, C, D, E), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t81_borsuk_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_borsuk_2(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_borsuk_2(D, A, B, C) =>  (! [E] :  ( (v3_funct_1(E) & m1_borsuk_2(E, A, C, C))  => r4_borsuk_2(A, B, C, k1_borsuk_2(A, B, C, C, D, E), D)) ) ) ) ) ) ) ) ) ) ).
fof(t82_borsuk_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_borsuk_2(D, A, B, C) =>  (! [E] :  ( (v3_funct_1(E) & m1_borsuk_2(E, A, B, B))  =>  (r1_borsuk_6(A, B, C) => r3_borsuk_2(A, B, C, k1_borsuk_2(A, B, B, C, E, D), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t83_borsuk_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_borsuk_2(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_borsuk_2(D, A, B, C) =>  (! [E] :  ( (v3_funct_1(E) & m1_borsuk_2(E, A, B, B))  => r4_borsuk_2(A, B, C, k1_borsuk_2(A, B, B, C, E, D), D)) ) ) ) ) ) ) ) ) ) ).
fof(t84_borsuk_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_borsuk_2(D, A, B, C) =>  (! [E] :  ( (v3_funct_1(E) & m1_borsuk_2(E, A, B, B))  =>  (r1_borsuk_6(A, B, C) => r3_borsuk_2(A, B, B, k1_borsuk_2(A, B, C, B, D, k2_borsuk_2(A, B, C, D)), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t85_borsuk_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_borsuk_2(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_borsuk_2(D, A, B, C) =>  (! [E] :  ( (v3_funct_1(E) & m1_borsuk_2(E, A, B, B))  => r4_borsuk_2(A, B, B, k1_borsuk_2(A, B, C, B, D, k2_borsuk_2(A, B, C, D)), E)) ) ) ) ) ) ) ) ) ) ).
fof(t86_borsuk_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_borsuk_2(D, A, C, B) =>  (! [E] :  ( (v3_funct_1(E) & m1_borsuk_2(E, A, B, B))  =>  (r1_borsuk_6(A, C, B) => r3_borsuk_2(A, B, B, k1_borsuk_2(A, B, C, B, k2_borsuk_2(A, C, B, D), D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t87_borsuk_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_borsuk_2(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_borsuk_2(D, A, C, B) =>  (! [E] :  ( (v3_funct_1(E) & m1_borsuk_2(E, A, B, B))  => r4_borsuk_2(A, B, B, k1_borsuk_2(A, B, C, B, k2_borsuk_2(A, C, B, D), D), E)) ) ) ) ) ) ) ) ) ) ).
fof(t88_borsuk_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v3_funct_1(C) & m1_borsuk_2(C, A, B, B))  =>  (! [D] :  ( (v3_funct_1(D) & m1_borsuk_2(D, A, B, B))  => r3_borsuk_2(A, B, B, C, D)) ) ) ) ) ) ) ) ).
fof(d11_borsuk_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_borsuk_2(D, A, B, C) =>  (! [E] :  (m1_borsuk_2(E, A, B, C) =>  (r3_borsuk_2(A, B, C, D, E) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), u1_struct_0(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), u1_struct_0(A))))) )  =>  (m1_borsuk_6(F, A, B, C, D, E) <=>  (v5_pre_topc(F, k2_borsuk_1(k5_topmetr, k5_topmetr), A) &  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_topmetr)) =>  (k1_binop_1(F, G, k5_numbers)=k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(A), D, G) &  (k1_binop_1(F, G, 1)=k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(A), E, G) &  (k1_binop_1(F, k5_numbers, G)=B & k1_binop_1(F, 1, G)=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_borsuk_6, axiom,  ( ( (! [A] :  (m1_subset_1(A, f1_s1_borsuk_6) =>  ( ~ ( (p1_s1_borsuk_6(A) & p2_s1_borsuk_6(A)) )  &  ( ~ ( (p1_s1_borsuk_6(A) & p3_s1_borsuk_6(A)) )  &  ~ ( (p2_s1_borsuk_6(A) & p3_s1_borsuk_6(A)) ) ) ) ) )  &  (! [A] :  (m1_subset_1(A, f1_s1_borsuk_6) =>  ~ ( ( ~ (p1_s1_borsuk_6(A))  &  ( ~ (p2_s1_borsuk_6(A))  &  ~ (p3_s1_borsuk_6(A)) ) ) ) ) ) )  =>  (? [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  &  (k9_xtuple_0(A)=f1_s1_borsuk_6 &  (! [B] :  (m1_subset_1(B, f1_s1_borsuk_6) =>  ( (p1_s1_borsuk_6(B) => k1_funct_1(A, B)=f2_s1_borsuk_6(B))  &  ( (p2_s1_borsuk_6(B) => k1_funct_1(A, B)=f3_s1_borsuk_6(B))  &  (p3_s1_borsuk_6(B) => k1_funct_1(A, B)=f4_s1_borsuk_6(B)) ) ) ) ) ) ) ) ) ).
fof(dt_f1_s1_borsuk_6, axiom,  ~ (v1_xboole_0(f1_s1_borsuk_6)) ).
fof(dt_k1_borsuk_6, axiom,  (! [A, B, C, D] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v1_xreal_0(C) & v1_xreal_0(D)) ) )  =>  (v1_funct_1(k1_borsuk_6(A, B, C, D)) &  (v1_funct_2(k1_borsuk_6(A, B, C, D), u1_struct_0(k4_topmetr(A, B)), u1_struct_0(k4_topmetr(C, D))) & m1_subset_1(k1_borsuk_6(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_topmetr(A, B)), u1_struct_0(k4_topmetr(C, D)))))) ) ) ) ).
fof(symmetry_r1_borsuk_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r1_borsuk_6(A, B, C) => r1_borsuk_6(A, C, B)) ) ) ).
fof(reflexivity_r1_borsuk_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => r1_borsuk_6(A, B, B)) ) ).
fof(redefinition_r1_borsuk_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r1_borsuk_6(A, B, C) <=> r1_borsuk_2(A, B, C)) ) ) ).
fof(dt_k2_borsuk_6, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) &  (m1_borsuk_2(D, A, B, C) &  (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k5_topmetr), u1_struct_0(k5_topmetr)) &  (v5_pre_topc(E, k5_topmetr, k5_topmetr) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k5_topmetr))))) ) ) ) ) ) )  => m1_borsuk_2(k2_borsuk_6(A, B, C, D, E), A, B, C)) ) ).
fof(dt_k3_borsuk_6, axiom,  (v1_funct_1(k3_borsuk_6) &  (v1_funct_2(k3_borsuk_6, u1_struct_0(k5_topmetr), u1_struct_0(k5_topmetr)) & m1_subset_1(k3_borsuk_6, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k5_topmetr))))) ) ).
fof(dt_k4_borsuk_6, axiom,  (v1_funct_1(k4_borsuk_6) &  (v1_funct_2(k4_borsuk_6, u1_struct_0(k5_topmetr), u1_struct_0(k5_topmetr)) & m1_subset_1(k4_borsuk_6, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k5_topmetr))))) ) ).
fof(dt_k5_borsuk_6, axiom,  (v1_funct_1(k5_borsuk_6) &  (v1_funct_2(k5_borsuk_6, u1_struct_0(k5_topmetr), u1_struct_0(k5_topmetr)) & m1_subset_1(k5_borsuk_6, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k5_topmetr))))) ) ).
fof(dt_k6_borsuk_6, axiom, m1_subset_1(k6_borsuk_6, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr))))).
fof(dt_k7_borsuk_6, axiom, m1_subset_1(k7_borsuk_6, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr))))).
fof(dt_k8_borsuk_6, axiom, m1_subset_1(k8_borsuk_6, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr))))).
fof(dt_m1_borsuk_6, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) &  (m1_borsuk_2(D, A, B, C) & m1_borsuk_2(E, A, B, C)) ) ) )  =>  (! [F] :  (m1_borsuk_6(F, A, B, C, D, E) =>  (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), u1_struct_0(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), u1_struct_0(A))))) ) ) ) ) ) ).
fof(existence_m1_borsuk_6, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) &  (m1_borsuk_2(D, A, B, C) & m1_borsuk_2(E, A, B, C)) ) ) )  =>  (? [F] : m1_borsuk_6(F, A, B, C, D, E)) ) ) ).
fof(t10_borsuk_6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (A=a_0_0_borsuk_6 & B=a_0_1_borsuk_6)  => k7_relset_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k2_jgraph_2(1, k5_numbers, k7_xcmplx_0(1, 2), k7_xcmplx_0(1, 2)), A)=B) ) ) ) ) ).
fof(t11_borsuk_6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (A=a_0_2_borsuk_6 & B=a_0_3_borsuk_6)  => k7_relset_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k2_jgraph_2(1, k5_numbers, k7_xcmplx_0(1, 2), k7_xcmplx_0(1, 2)), A)=B) ) ) ) ) ).
fof(t12_borsuk_6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (A=a_0_4_borsuk_6 & B=a_0_5_borsuk_6)  => k7_relset_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k2_jgraph_2(1, k5_numbers, k7_xcmplx_0(1, 2), k4_xcmplx_0(k7_xcmplx_0(1, 2))), A)=B) ) ) ) ) ).
fof(t13_borsuk_6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (A=a_0_6_borsuk_6 & B=a_0_7_borsuk_6)  => k7_relset_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k2_jgraph_2(1, k5_numbers, k7_xcmplx_0(1, 2), k4_xcmplx_0(k7_xcmplx_0(1, 2))), A)=B) ) ) ) ) ).
fof(t15_borsuk_6, axiom,  (v4_pre_topc(a_0_0_borsuk_6, k15_euclid(2)) & m1_subset_1(a_0_0_borsuk_6, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ).
fof(t16_borsuk_6, axiom,  (v4_pre_topc(a_0_2_borsuk_6, k15_euclid(2)) & m1_subset_1(a_0_2_borsuk_6, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ).
fof(t17_borsuk_6, axiom,  (v4_pre_topc(a_0_6_borsuk_6, k15_euclid(2)) & m1_subset_1(a_0_6_borsuk_6, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ).
fof(t18_borsuk_6, axiom,  (v4_pre_topc(a_0_4_borsuk_6, k15_euclid(2)) & m1_subset_1(a_0_4_borsuk_6, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ).
fof(t19_borsuk_6, axiom,  (v4_pre_topc(a_0_8_borsuk_6, k15_euclid(2)) & m1_subset_1(a_0_8_borsuk_6, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ).
fof(t21_borsuk_6, axiom,  (v4_pre_topc(a_0_9_borsuk_6, k2_borsuk_1(k3_topmetr, k3_topmetr)) & m1_subset_1(a_0_9_borsuk_6, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(k3_topmetr, k3_topmetr))))) ).
fof(t22_borsuk_6, axiom,  (v4_pre_topc(a_0_10_borsuk_6, k2_borsuk_1(k3_topmetr, k3_topmetr)) & m1_subset_1(a_0_10_borsuk_6, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(k3_topmetr, k3_topmetr))))) ).
fof(t23_borsuk_6, axiom,  (v4_pre_topc(a_0_11_borsuk_6, k2_borsuk_1(k3_topmetr, k3_topmetr)) & m1_subset_1(a_0_11_borsuk_6, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(k3_topmetr, k3_topmetr))))) ).
fof(t24_borsuk_6, axiom,  ( ~ (v1_xboole_0(a_0_12_borsuk_6))  &  (v4_pre_topc(a_0_12_borsuk_6, k2_borsuk_1(k5_topmetr, k5_topmetr)) & m1_subset_1(a_0_12_borsuk_6, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr))))) ) ).
fof(t25_borsuk_6, axiom,  ( ~ (v1_xboole_0(a_0_13_borsuk_6))  &  (v4_pre_topc(a_0_13_borsuk_6, k2_borsuk_1(k5_topmetr, k5_topmetr)) & m1_subset_1(a_0_13_borsuk_6, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr))))) ) ).
fof(t26_borsuk_6, axiom,  ( ~ (v1_xboole_0(a_0_14_borsuk_6))  &  (v4_pre_topc(a_0_14_borsuk_6, k2_borsuk_1(k5_topmetr, k5_topmetr)) & m1_subset_1(a_0_14_borsuk_6, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr))))) ) ).
fof(t53_borsuk_6, axiom, k6_borsuk_6=a_0_12_borsuk_6).
fof(t54_borsuk_6, axiom, k7_borsuk_6=a_0_13_borsuk_6).
fof(t55_borsuk_6, axiom, k8_borsuk_6=a_0_14_borsuk_6).
fof(t57_borsuk_6, axiom, k9_subset_1(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), k6_borsuk_6, k7_borsuk_6)=a_0_15_borsuk_6).
fof(t58_borsuk_6, axiom, k9_subset_1(u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr)), k8_borsuk_6, k7_borsuk_6)=a_0_16_borsuk_6).
fof(fraenkel_a_0_0_borsuk_6, axiom,  (! [A] :  (r2_hidden(A, a_0_0_borsuk_6) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B & r1_xxreal_0(k18_euclid(B), k6_xcmplx_0(k3_xcmplx_0(2, k17_euclid(B)), 1))) ) ) ) ) ).
fof(fraenkel_a_0_1_borsuk_6, axiom,  (! [A] :  (r2_hidden(A, a_0_1_borsuk_6) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B & r1_xxreal_0(k18_euclid(B), k17_euclid(B))) ) ) ) ) ).
fof(fraenkel_a_0_2_borsuk_6, axiom,  (! [A] :  (r2_hidden(A, a_0_2_borsuk_6) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B & r1_xxreal_0(k6_xcmplx_0(k3_xcmplx_0(2, k17_euclid(B)), 1), k18_euclid(B))) ) ) ) ) ).
fof(fraenkel_a_0_3_borsuk_6, axiom,  (! [A] :  (r2_hidden(A, a_0_3_borsuk_6) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B & r1_xxreal_0(k17_euclid(B), k18_euclid(B))) ) ) ) ) ).
fof(fraenkel_a_0_4_borsuk_6, axiom,  (! [A] :  (r2_hidden(A, a_0_4_borsuk_6) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B & r1_xxreal_0(k6_xcmplx_0(1, k3_xcmplx_0(2, k17_euclid(B))), k18_euclid(B))) ) ) ) ) ).
fof(fraenkel_a_0_5_borsuk_6, axiom,  (! [A] :  (r2_hidden(A, a_0_5_borsuk_6) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B & r1_xxreal_0(k4_xcmplx_0(k17_euclid(B)), k18_euclid(B))) ) ) ) ) ).
fof(fraenkel_a_0_6_borsuk_6, axiom,  (! [A] :  (r2_hidden(A, a_0_6_borsuk_6) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B & r1_xxreal_0(k18_euclid(B), k6_xcmplx_0(1, k3_xcmplx_0(2, k17_euclid(B))))) ) ) ) ) ).
fof(fraenkel_a_0_7_borsuk_6, axiom,  (! [A] :  (r2_hidden(A, a_0_7_borsuk_6) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B & r1_xxreal_0(k18_euclid(B), k4_xcmplx_0(k17_euclid(B)))) ) ) ) ) ).
fof(fraenkel_a_0_8_borsuk_6, axiom,  (! [A] :  (r2_hidden(A, a_0_8_borsuk_6) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B &  (r1_xxreal_0(k6_xcmplx_0(1, k3_xcmplx_0(2, k17_euclid(B))), k18_euclid(B)) & r1_xxreal_0(k6_xcmplx_0(k3_xcmplx_0(2, k17_euclid(B)), 1), k18_euclid(B))) ) ) ) ) ) ).
fof(fraenkel_a_0_9_borsuk_6, axiom,  (! [A] :  (r2_hidden(A, a_0_9_borsuk_6) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k2_borsuk_1(k3_topmetr, k3_topmetr))) &  (A=B & r1_xxreal_0(k2_xfamily(B), k6_xcmplx_0(1, k3_xcmplx_0(2, k1_xfamily(B))))) ) ) ) ) ).
fof(fraenkel_a_0_10_borsuk_6, axiom,  (! [A] :  (r2_hidden(A, a_0_10_borsuk_6) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k2_borsuk_1(k3_topmetr, k3_topmetr))) &  (A=B & r1_xxreal_0(k2_xfamily(B), k6_xcmplx_0(k3_xcmplx_0(2, k1_xfamily(B)), 1))) ) ) ) ) ).
fof(fraenkel_a_0_11_borsuk_6, axiom,  (! [A] :  (r2_hidden(A, a_0_11_borsuk_6) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k2_borsuk_1(k3_topmetr, k3_topmetr))) &  (A=B &  (r1_xxreal_0(k6_xcmplx_0(1, k3_xcmplx_0(2, k1_xfamily(B))), k2_xfamily(B)) & r1_xxreal_0(k6_xcmplx_0(k3_xcmplx_0(2, k1_xfamily(B)), 1), k2_xfamily(B))) ) ) ) ) ) ).
fof(fraenkel_a_0_12_borsuk_6, axiom,  (! [A] :  (r2_hidden(A, a_0_12_borsuk_6) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr))) &  (A=B & r1_xxreal_0(k2_xfamily(B), k6_xcmplx_0(1, k3_xcmplx_0(2, k1_xfamily(B))))) ) ) ) ) ).
fof(fraenkel_a_0_13_borsuk_6, axiom,  (! [A] :  (r2_hidden(A, a_0_13_borsuk_6) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr))) &  (A=B &  (r1_xxreal_0(k6_xcmplx_0(1, k3_xcmplx_0(2, k1_xfamily(B))), k2_xfamily(B)) & r1_xxreal_0(k6_xcmplx_0(k3_xcmplx_0(2, k1_xfamily(B)), 1), k2_xfamily(B))) ) ) ) ) ) ).
fof(fraenkel_a_0_14_borsuk_6, axiom,  (! [A] :  (r2_hidden(A, a_0_14_borsuk_6) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr))) &  (A=B & r1_xxreal_0(k2_xfamily(B), k6_xcmplx_0(k3_xcmplx_0(2, k1_xfamily(B)), 1))) ) ) ) ) ).
fof(fraenkel_a_0_15_borsuk_6, axiom,  (! [A] :  (r2_hidden(A, a_0_15_borsuk_6) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr))) &  (A=B & k2_xfamily(B)=k6_xcmplx_0(1, k3_xcmplx_0(2, k1_xfamily(B)))) ) ) ) ) ).
fof(fraenkel_a_0_16_borsuk_6, axiom,  (! [A] :  (r2_hidden(A, a_0_16_borsuk_6) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k2_borsuk_1(k5_topmetr, k5_topmetr))) &  (A=B & k2_xfamily(B)=k6_xcmplx_0(k3_xcmplx_0(2, k1_xfamily(B)), 1)) ) ) ) ) ).
fof(cc1_borsuk_7, axiom,  (! [A] :  (m1_subset_1(A, k1_borsuk_5) =>  ~ (v1_rat_1(A)) ) ) ).
fof(fc1_borsuk_7, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_funct_1(A) & v1_valued_0(A)) ) )  & v1_xcmplx_0(B))  =>  (v1_relat_1(k7_valued_1(A, B)) &  (v1_funct_1(k7_valued_1(A, B)) & v2_funct_1(k7_valued_1(A, B))) ) ) ) ).
fof(fc2_borsuk_7, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_funct_1(A) & v1_valued_0(A)) ) )  & v1_xcmplx_0(B))  =>  (v1_relat_1(k13_valued_1(A, B)) &  (v1_funct_1(k13_valued_1(A, B)) & v2_funct_1(k13_valued_1(A, B))) ) ) ) ).
fof(fc3_borsuk_7, axiom, v1_borsuk_7(k1_xboole_0)).
fof(rc1_borsuk_7, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_funcop_1(A) &  (v2_funcop_1(A) &  (v7_valued_2(A) & v1_borsuk_7(A)) ) ) ) ) ) ).
fof(fc4_borsuk_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_connsp_1(A) & l1_pre_topc(A)) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v5_pre_topc(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  => v1_connsp_1(k7_waybel18(A, B, C))) ) ).
fof(fc5_borsuk_7, axiom,  (! [A, B] :  ( ( (v1_xreal_0(A) &  ~ (v3_xxreal_0(A)) )  & v1_xreal_0(B))  =>  (v1_funct_1(k9_borsuk_7(A, B)) &  (v1_funct_2(k9_borsuk_7(A, B), u1_struct_0(k7_toprealb(2, k4_struct_0(k15_euclid(2)), A)), u1_struct_0(k7_toprealb(2, k4_struct_0(k15_euclid(2)), A))) & v3_tops_2(k9_borsuk_7(A, B), k7_toprealb(2, k4_struct_0(k15_euclid(2)), A), k7_toprealb(2, k4_struct_0(k15_euclid(2)), A))) ) ) ) ).
fof(fc6_borsuk_7, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) &  (v1_xreal_0(C) & v2_xxreal_0(C)) ) )  =>  (v1_funct_1(k10_borsuk_7(A, B, C)) &  (v1_funct_2(k10_borsuk_7(A, B, C), u1_struct_0(k8_toprealb(A)), u1_struct_0(k7_toprealb(A, B, C))) & v3_tops_2(k10_borsuk_7(A, B, C), k8_toprealb(A), k7_toprealb(A, B, C))) ) ) ) ).
fof(fc7_borsuk_7, axiom,  (v1_funct_1(k11_borsuk_7) &  (v1_funct_2(k11_borsuk_7, u1_struct_0(k3_topmetr), u1_struct_0(k8_toprealb(3))) & v5_pre_topc(k11_borsuk_7, k3_topmetr, k8_toprealb(3))) ) ).
fof(fc8_borsuk_7, axiom,  (! [A] :  (v1_int_1(A) => v3_topalg_6(k12_borsuk_7(A), k8_toprealb(3), k7_borsuk_7)) ) ).
fof(cc2_borsuk_7, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  ( (v1_xreal_0(B) & v3_xxreal_0(B))  & m1_subset_1(C, u1_struct_0(k15_euclid(k1_nat_1(A, 1))))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_toprealb(k1_nat_1(A, 1), C, B)), u1_struct_0(k15_euclid(A))))) =>  ( (v1_funct_1(D) & v1_funct_2(D, u1_struct_0(k7_toprealb(k1_nat_1(A, 1), C, B)), u1_struct_0(k15_euclid(A))))  =>  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k7_toprealb(k1_nat_1(A, 1), C, B)), u1_struct_0(k15_euclid(A))) &  ~ (v2_borsuk_7(D, k1_nat_1(A, 1), A, C, B)) ) ) ) ) ) ) ) ).
fof(cc3_borsuk_7, axiom,  (! [A, B] :  ( ( (v1_xreal_0(A) &  ~ (v3_xxreal_0(A)) )  & m1_subset_1(B, u1_struct_0(k15_euclid(3))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_toprealb(3, B, A)), u1_struct_0(k15_euclid(2))))) =>  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k7_toprealb(3, B, A)), u1_struct_0(k15_euclid(2))) & v5_pre_topc(C, k7_toprealb(3, B, A), k15_euclid(2))) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k7_toprealb(3, B, A)), u1_struct_0(k15_euclid(2))) & v2_borsuk_7(C, 3, 2, B, A)) ) ) ) ) ) ) ).
fof(t1_borsuk_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_xxreal_0(k5_numbers, A) &  (r1_xxreal_0(k5_numbers, B) & k1_square_1(A)=k1_square_1(B)) )  => A=B) ) ) ) ) ).
fof(t2_borsuk_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(k3_int_1(B), k3_int_1(A)) => k3_int_1(k6_xcmplx_0(A, B))=k6_xcmplx_0(k3_int_1(A), k3_int_1(B))) ) ) ) ) ).
fof(t3_borsuk_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(k3_int_1(B), k3_int_1(A)))  => k3_int_1(k6_xcmplx_0(A, B))=k2_xcmplx_0(k6_xcmplx_0(k3_int_1(A), k3_int_1(B)), 1)) ) ) ) ) ).
fof(t4_borsuk_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_int_1(C) &  (k3_int_1(k6_xcmplx_0(A, B))=k2_xcmplx_0(k6_xcmplx_0(k3_int_1(A), k3_int_1(B)), C) &  (C=k5_numbers | C=1) ) ) ) ) ) ) ) ).
fof(t5_borsuk_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( (k17_sin_cos(A)=k5_numbers &  ( ~ (A=k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), k1_int_1(k7_xcmplx_0(A, k3_xcmplx_0(2, k28_sin_cos)))))  &  ~ (A=k2_xcmplx_0(k28_sin_cos, k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), k1_int_1(k7_xcmplx_0(A, k3_xcmplx_0(2, k28_sin_cos)))))) ) ) ) ) ) ).
fof(t6_borsuk_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( (k19_sin_cos(A)=k5_numbers &  ( ~ (A=k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 2), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), k1_int_1(k7_xcmplx_0(A, k3_xcmplx_0(2, k28_sin_cos))))))  &  ~ (A=k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(3, k28_sin_cos), 2), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), k1_int_1(k7_xcmplx_0(A, k3_xcmplx_0(2, k28_sin_cos)))))) ) ) ) ) ) ).
fof(t7_borsuk_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( (k17_sin_cos(A)=k5_numbers &  (! [B] :  (v1_int_1(B) =>  ~ (A=k3_xcmplx_0(k28_sin_cos, B)) ) ) ) ) ) ) ).
fof(t8_borsuk_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( (k19_sin_cos(A)=k5_numbers &  (! [B] :  (v1_int_1(B) =>  ~ (A=k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 2), k3_xcmplx_0(k28_sin_cos, B))) ) ) ) ) ) ) ).
fof(t9_borsuk_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (k17_sin_cos(A)=k17_sin_cos(B) &  (! [C] :  (v1_int_1(C) =>  ( ~ (A=k2_xcmplx_0(B, k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), C)))  &  ~ (A=k2_xcmplx_0(k6_xcmplx_0(k28_sin_cos, B), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), C))) ) ) ) ) ) ) ) ) ) ).
fof(t10_borsuk_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (k19_sin_cos(A)=k19_sin_cos(B) &  (! [C] :  (v1_int_1(C) =>  ( ~ (A=k2_xcmplx_0(B, k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), C)))  &  ~ (A=k2_xcmplx_0(k4_xcmplx_0(B), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), C))) ) ) ) ) ) ) ) ) ) ).
fof(t11_borsuk_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (k17_sin_cos(A)=k17_sin_cos(B) &  (k19_sin_cos(A)=k19_sin_cos(B) &  (! [C] :  (v1_int_1(C) =>  ~ (A=k2_xcmplx_0(B, k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), C))) ) ) ) ) ) ) ) ) ) ).
fof(t12_borsuk_7, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  ( (k9_complex1(B)=k9_complex1(C) & k1_comptrig(B)=k2_xcmplx_0(k1_comptrig(C), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), A)))  => B=C) ) ) ) ) ) ) ).
fof(t14_borsuk_7, axiom,  (! [A] :  (v7_ordinal1(A) => k6_euclid(A, k5_euclid(A))=k5_euclid(A)) ) ).
fof(t15_borsuk_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  =>  ~ ( ( ~ (B=k5_euclid(A))  & k30_valued_1(B)=k5_euclid(A)) ) ) ) ) ) ).
fof(t16_borsuk_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) => k12_rvsum_1(k11_finseq_1(A, B, C))=k11_finseq_1(k1_square_1(A), k1_square_1(B), k1_square_1(C))) ) ) ) ) ) ).
fof(t17_borsuk_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) => k18_rvsum_1(k12_rvsum_1(k11_finseq_1(A, B, C)))=k2_xcmplx_0(k2_xcmplx_0(k1_square_1(A), k1_square_1(B)), k1_square_1(C))) ) ) ) ) ) ).
fof(t18_borsuk_7, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_valued_0(B)) ) )  => k39_valued_1(k24_valued_1(B, A))=k24_valued_1(k39_valued_1(B), k1_square_1(A))) ) ) ) ).
fof(t19_borsuk_7, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_valued_0(B)) ) )  => k39_valued_1(k14_valued_2(B, A))=k14_valued_2(k39_valued_1(B), k1_square_1(A))) ) ) ) ).
fof(t20_borsuk_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  =>  ( ~ (k16_rvsum_1(A)=k5_numbers)  => k16_rvsum_1(k14_valued_2(A, k16_rvsum_1(A)))=1) ) ) ).
fof(t30_borsuk_7, axiom,  (! [A] :  (! [B] :  (! [C] : k11_finseq_1(A, B, C)=k11_funct_4(1, 2, 3, A, B, C)) ) ) ).
fof(t31_borsuk_7, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (r1_zfmisc_1(A, B, C) => k4_card_3(k11_funct_4(A, B, C, k1_tarski(D), k1_tarski(E), k1_tarski(F)))=k1_tarski(k11_funct_4(A, B, C, D, E, F))) ) ) ) ) ) ) ).
fof(t32_borsuk_7, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  ( (r1_tarski(D, E) &  (r1_tarski(F, G) & r1_tarski(H, I)) )  => r1_tarski(k4_card_3(k11_funct_4(A, B, C, D, F, H)), k4_card_3(k11_funct_4(A, B, C, E, G, I)))) ) ) ) ) ) ) ) ) ) ).
fof(t33_borsuk_7, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  ( (r1_zfmisc_1(A, B, C) &  (r2_hidden(D, G) &  (r2_hidden(E, H) & r2_hidden(F, I)) ) )  => r2_tarski(k11_funct_4(A, B, C, D, E, F), k4_card_3(k11_funct_4(A, B, C, G, H, I)))) ) ) ) ) ) ) ) ) ) ).
fof(d1_borsuk_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_borsuk_7(A) <=>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_valued_0(C)) )  =>  ( (r2_tarski(B, k9_xtuple_0(A)) &  (r2_tarski(k30_valued_1(B), k9_xtuple_0(A)) & C=k1_funct_1(A, B)) )  => k1_funct_1(A, k30_valued_1(B))=k30_valued_1(C)) ) ) ) ) ) ) ) ).
fof(t34_borsuk_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) => k11_toprealc(3, A)=k11_finseq_1(k1_square_1(k1_euclid_5(A)), k1_square_1(k2_euclid_5(A)), k1_square_1(k3_euclid_5(A)))) ) ).
fof(t35_borsuk_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) => k16_rvsum_1(k11_toprealc(3, A))=k2_xcmplx_0(k2_xcmplx_0(k1_square_1(k1_euclid_5(A)), k1_square_1(k2_euclid_5(A))), k1_square_1(k3_euclid_5(A)))) ) ).
fof(t36_borsuk_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (B=k3_numbers =>  (v3_pre_topc(k9_subset_1(k1_numbers, k3_numbers, k2_rcomp_1(k2_xxreal_0, A)), k1_pre_topc(k3_topmetr, B)) & m1_subset_1(k9_subset_1(k1_numbers, k3_numbers, k2_rcomp_1(k2_xxreal_0, A)), k1_zfmisc_1(u1_struct_0(k1_pre_topc(k3_topmetr, B))))) ) ) ) ) ) ).
fof(t37_borsuk_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (B=k3_numbers =>  (v3_pre_topc(k9_subset_1(k1_numbers, k3_numbers, k2_rcomp_1(A, k1_xxreal_0)), k1_pre_topc(k3_topmetr, B)) & m1_subset_1(k9_subset_1(k1_numbers, k3_numbers, k2_rcomp_1(A, k1_xxreal_0)), k1_zfmisc_1(u1_struct_0(k1_pre_topc(k3_topmetr, B))))) ) ) ) ) ) ).
fof(t38_borsuk_7, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (A=k3_numbers =>  (! [B] :  ( (v2_pre_topc(B) &  (v1_connsp_1(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(k1_pre_topc(k3_topmetr, A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(k1_pre_topc(k3_topmetr, A)))))) )  =>  (v5_pre_topc(C, B, k1_pre_topc(k3_topmetr, A)) => v3_funct_1(C)) ) ) ) ) ) ) ) ).
fof(t39_borsuk_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k4_topmetr(A, B)), u1_struct_0(k3_topmetr)) &  (v5_pre_topc(C, k4_topmetr(A, B), k3_topmetr) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_topmetr(A, B)), u1_struct_0(k3_topmetr))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_xxreal_0(A, B) & C=D)  => v1_fcont_1(D)) ) ) ) ) ) ) ) ) ).
fof(d2_borsuk_7, axiom, k7_borsuk_7=k4_euclid_5(1, k5_numbers, k5_numbers)).
fof(d3_borsuk_7, axiom, k8_borsuk_7=k4_euclid_5(k4_xcmplx_0(1), k5_numbers, k5_numbers)).
fof(t40_borsuk_7, axiom, k30_valued_1(k7_borsuk_7)=k8_borsuk_7).
fof(t41_borsuk_7, axiom, k30_valued_1(k8_borsuk_7)=k7_borsuk_7).
fof(t42_borsuk_7, axiom, k45_valued_1(k7_borsuk_7, k8_borsuk_7)=k4_euclid_5(2, k5_numbers, k5_numbers)).
fof(t43_borsuk_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (k17_euclid(A)=k3_xcmplx_0(k12_euclid(A), k19_sin_cos(k3_euclid_3(A))) & k18_euclid(A)=k3_xcmplx_0(k12_euclid(A), k17_sin_cos(k3_euclid_3(A)))) ) ) ).
fof(t44_borsuk_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => A=k1_euclid_3(k2_xcmplx_0(k3_xcmplx_0(k12_euclid(A), k19_sin_cos(k3_euclid_3(A))), k3_xcmplx_0(k3_xcmplx_0(k12_euclid(A), k17_sin_cos(k3_euclid_3(A))), k7_complex1)))) ) ).
fof(t45_borsuk_7, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (k12_euclid(B)=k12_euclid(C) & k3_euclid_3(B)=k2_xcmplx_0(k3_euclid_3(C), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), A)))  => B=C) ) ) ) ) ) ) ).
fof(t46_borsuk_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (B=k1_funct_1(k12_toprealb, A) => k3_euclid_3(B)=k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), k3_int_1(A))) ) ) ) ) ).
fof(t47_borsuk_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_euclid(3))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_euclid(3))) =>  ( (C=A & D=B)  => k1_binop_1(k13_euclid(3), C, D)=k3_square_1(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(k6_xcmplx_0(k1_euclid_5(A), k1_euclid_5(B))), k1_square_1(k6_xcmplx_0(k2_euclid_5(A), k2_euclid_5(B)))), k1_square_1(k6_xcmplx_0(k3_euclid_5(A), k3_euclid_5(B)))))) ) ) ) ) ) ) ) ) ).
fof(t48_borsuk_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_euclid(3))) =>  ( (B=C & k3_euclid_5(B)=k5_numbers)  => r1_tarski(k4_card_3(k11_funct_4(1, 2, 3, k2_rcomp_1(k6_xcmplx_0(k1_euclid_5(B), k7_xcmplx_0(A, k3_square_1(2))), k2_xcmplx_0(k1_euclid_5(B), k7_xcmplx_0(A, k3_square_1(2)))), k2_rcomp_1(k6_xcmplx_0(k2_euclid_5(B), k7_xcmplx_0(A, k3_square_1(2))), k2_xcmplx_0(k2_euclid_5(B), k7_xcmplx_0(A, k3_square_1(2)))), k1_tarski(k5_numbers))), k8_metric_1(k14_euclid(3), C, A))) ) ) ) ) ) ) ).
fof(t49_borsuk_7, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xreal_0(C) => k2_complex2(B, C)=k2_complex2(B, k2_xcmplx_0(C, k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), A)))) ) ) ) ) ) ).
fof(t50_borsuk_7, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_xreal_0(B) => r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k1_jordan24(B), k1_jordan24(k2_xcmplx_0(B, k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), A))))) ) ) ) ).
fof(t51_borsuk_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => k12_euclid(k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k1_jordan24(A), B))=k12_euclid(B)) ) ) ) ).
fof(t52_borsuk_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => k3_euclid_3(k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k1_jordan24(A), B))=k1_comptrig(k2_complex2(k2_euclid_3(B), A))) ) ) ) ).
fof(t53_borsuk_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (B=k4_struct_0(k15_euclid(2)))  &  (! [C] :  (v1_int_1(C) =>  ~ (k3_euclid_3(k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k1_jordan24(A), B))=k2_xcmplx_0(k2_xcmplx_0(A, k3_euclid_3(B)), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), C))) ) ) ) ) ) ) ) ) ).
fof(t54_borsuk_7, axiom,  (! [A] :  (v1_xreal_0(A) => k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k1_jordan24(A), k4_struct_0(k15_euclid(2)))=k4_struct_0(k15_euclid(2))) ) ).
fof(t55_borsuk_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k1_jordan24(A), B)=k4_struct_0(k15_euclid(2)) => B=k4_struct_0(k15_euclid(2))) ) ) ) ) ).
fof(t56_borsuk_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k1_jordan24(A), k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k1_jordan24(k4_xcmplx_0(A)), B))=B) ) ) ) ).
fof(t57_borsuk_7, axiom,  (! [A] :  (v1_xreal_0(A) => r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k1_jordan24(k4_xcmplx_0(A)), k1_jordan24(A)), k3_struct_0(k15_euclid(2)))) ) ).
fof(t58_borsuk_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(C, k3_topreal9(2, k4_struct_0(k15_euclid(2)), A)) <=> r2_tarski(k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k1_jordan24(B), C), k3_topreal9(2, k4_struct_0(k15_euclid(2)), A))) ) ) ) ) ) ) ).
fof(t59_borsuk_7, axiom,  (! [A] :  ( (v1_xreal_0(A) &  ~ (v3_xxreal_0(A)) )  =>  (! [B] :  (v1_xreal_0(B) => k7_relset_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k1_jordan24(B), k3_topreal9(2, k4_struct_0(k15_euclid(2)), A))=k3_topreal9(2, k4_struct_0(k15_euclid(2)), A)) ) ) ) ).
fof(d4_borsuk_7, axiom,  (! [A] :  ( (v1_xreal_0(A) &  ~ (v3_xxreal_0(A)) )  =>  (! [B] :  (v1_xreal_0(B) => k9_borsuk_7(A, B)=k2_tmap_1(k15_euclid(2), k15_euclid(2), k1_jordan24(B), k7_toprealb(2, k4_struct_0(k15_euclid(2)), A))) ) ) ) ).
fof(t60_borsuk_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (C=k1_funct_1(k12_toprealb, B) => k1_funct_1(k9_borsuk_7(1, k4_xcmplx_0(k3_euclid_3(C))), k1_funct_1(k12_toprealb, A))=k1_funct_1(k12_toprealb, k6_xcmplx_0(A, B))) ) ) ) ) ) ) ).
fof(d5_borsuk_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  ( (v1_xreal_0(C) &  ~ (v3_xxreal_0(C)) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k8_toprealb(A)), u1_struct_0(k7_toprealb(A, B, C))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k8_toprealb(A)), u1_struct_0(k7_toprealb(A, B, C)))))) )  =>  (D=k10_borsuk_7(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(k8_toprealb(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(A))) =>  (E=F => k3_funct_2(u1_struct_0(k8_toprealb(A)), u1_struct_0(k7_toprealb(A, B, C)), D, E)=k3_rlvect_1(k15_euclid(A), k1_rlvect_1(k15_euclid(A), F, C), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_borsuk_7, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k3_topmetr), u1_struct_0(k8_toprealb(3))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_topmetr), u1_struct_0(k8_toprealb(3)))))) )  =>  (A=k11_borsuk_7 <=>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(A, B)=k4_euclid_5(k19_sin_cos(k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B)), k17_sin_cos(k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B)), k5_numbers)) ) ) ) ) ).
fof(t61_borsuk_7, axiom,  (! [A] :  (v1_int_1(A) => k1_funct_1(k11_borsuk_7, A)=k7_borsuk_7) ) ).
fof(d7_borsuk_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k17_borsuk_1), u1_struct_0(k8_toprealb(3))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_borsuk_1), u1_struct_0(k8_toprealb(3)))))) )  =>  (B=k12_borsuk_7(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(k17_borsuk_1)) => k3_funct_2(u1_struct_0(k17_borsuk_1), u1_struct_0(k8_toprealb(3)), B, C)=k4_euclid_5(k19_sin_cos(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), A), C)), k17_sin_cos(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), A), C)), k5_numbers)) ) ) ) ) ) ) ).
fof(t62_borsuk_7, axiom,  (! [A] :  (v1_xreal_0(A) => r2_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k8_toprealb(3)), k12_borsuk_7(A), k1_topalg_3(k3_topmetr, k8_toprealb(3), k4_toprealb(k5_numbers), k4_toprealb(A), k2_topalg_5(A), k11_borsuk_7))) ) ).
fof(t63_borsuk_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  ( ~ (B=k4_struct_0(k15_euclid(A)))  => k12_euclid(k9_toprealc(A, B, k12_euclid(B)))=1) ) ) ) ) ).
fof(d8_borsuk_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  ( ~ (B=k4_struct_0(k15_euclid(A)))  => k14_borsuk_7(A, B)=k9_toprealc(A, B, k12_euclid(B))) ) ) ) ) ).
fof(d9_borsuk_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k7_toprealb(k1_nat_1(A, 1), k4_struct_0(k15_euclid(k1_nat_1(A, 1))), 1)), u1_struct_0(k15_euclid(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_toprealb(k1_nat_1(A, 1), k4_struct_0(k15_euclid(k1_nat_1(A, 1))), 1)), u1_struct_0(k15_euclid(A)))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k8_toprealb(k1_nat_1(A, 1))), u1_struct_0(k8_toprealb(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k8_toprealb(k1_nat_1(A, 1))), u1_struct_0(k8_toprealb(A)))))) )  =>  (C=k15_borsuk_7(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_toprealb(k1_nat_1(A, 1), k4_struct_0(k15_euclid(k1_nat_1(A, 1))), 1))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k7_toprealb(k1_nat_1(A, 1), k4_struct_0(k15_euclid(k1_nat_1(A, 1))), 1))) =>  (E=k30_valued_1(D) => k1_funct_1(C, D)=k14_borsuk_7(A, k5_algstr_0(k15_euclid(A), k3_funct_2(u1_struct_0(k7_toprealb(k1_nat_1(A, 1), k4_struct_0(k15_euclid(k1_nat_1(A, 1))), 1)), u1_struct_0(k15_euclid(A)), B, D), k3_funct_2(u1_struct_0(k7_toprealb(k1_nat_1(A, 1), k4_struct_0(k15_euclid(k1_nat_1(A, 1))), 1)), u1_struct_0(k15_euclid(A)), B, E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_borsuk_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k8_toprealb(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k8_toprealb(2))) =>  (! [C] :  (! [D] :  (m1_borsuk_2(D, k8_toprealb(2), A, B) =>  (r2_tarski(C, k8_relset_1(u1_struct_0(k2_topalg_2), u1_struct_0(k8_toprealb(2)), k12_toprealb, k1_tarski(A))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k17_borsuk_1), u1_struct_0(k3_topmetr)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_borsuk_1), u1_struct_0(k3_topmetr))))) )  =>  (E=k16_borsuk_7(A, B, C, D) <=>  (k1_funct_1(E, k5_numbers)=C &  (r2_funct_2(u1_struct_0(k17_borsuk_1), u1_struct_0(k8_toprealb(2)), D, k1_partfun1(u1_struct_0(k17_borsuk_1), u1_struct_0(k3_topmetr), u1_struct_0(k2_topalg_2), u1_struct_0(k8_toprealb(2)), E, k12_toprealb)) &  (v5_pre_topc(E, k17_borsuk_1, k3_topmetr) &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k17_borsuk_1), u1_struct_0(k3_topmetr)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_borsuk_1), u1_struct_0(k3_topmetr))))) )  =>  ( (v5_pre_topc(F, k17_borsuk_1, k3_topmetr) &  (r2_funct_2(u1_struct_0(k17_borsuk_1), u1_struct_0(k8_toprealb(2)), D, k1_partfun1(u1_struct_0(k17_borsuk_1), u1_struct_0(k3_topmetr), u1_struct_0(k2_topalg_2), u1_struct_0(k8_toprealb(2)), F, k12_toprealb)) & k1_funct_1(F, k5_numbers)=C) )  => r2_funct_2(u1_struct_0(k17_borsuk_1), u1_struct_0(k3_topmetr), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_borsuk_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (v1_xreal_0(E) =>  (r1_borsuk_7(A, B, C, D, E) <=>  (m1_subset_1(C, u1_struct_0(k7_toprealb(A, B, E))) &  (m1_subset_1(D, u1_struct_0(k7_toprealb(A, B, E))) & r2_tarski(B, k1_rltopsp1(k15_euclid(A), C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_borsuk_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  (r2_borsuk_7(A, B, C, D, E, F) <=>  (r1_borsuk_7(A, B, C, D, E) &  (r2_tarski(C, k9_xtuple_0(F)) &  (r2_tarski(D, k9_xtuple_0(F)) & k1_funct_1(F, C)=k1_funct_1(F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_borsuk_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k7_toprealb(A, C, D)), u1_struct_0(k15_euclid(B))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_toprealb(A, C, D)), u1_struct_0(k15_euclid(B)))))) )  =>  (v2_borsuk_7(E, A, B, C, D) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(A))) &  (? [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(A))) & r2_borsuk_7(A, C, F, G, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_borsuk_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_xreal_0(B) &  ~ (v3_xxreal_0(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (m1_subset_1(C, u1_struct_0(k7_toprealb(A, k4_struct_0(k15_euclid(A)), B))) => r1_borsuk_7(A, k4_struct_0(k15_euclid(A)), C, k4_algstr_0(k15_euclid(A), C), B)) ) ) ) ) ) ) ).
fof(t65_borsuk_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(A))) =>  (! [G] :  ( (v1_xreal_0(G) & v2_xxreal_0(G))  =>  ( (r1_borsuk_7(A, k4_struct_0(k15_euclid(A)), C, D, 1) &  (E=k1_funct_1(k10_borsuk_7(A, B, G), C) & F=k1_funct_1(k10_borsuk_7(A, B, G), D)) )  => r1_borsuk_7(A, B, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_borsuk_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k7_toprealb(k1_nat_1(A, 1), k4_struct_0(k15_euclid(k1_nat_1(A, 1))), 1)), u1_struct_0(k15_euclid(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_toprealb(k1_nat_1(A, 1), k4_struct_0(k15_euclid(k1_nat_1(A, 1))), 1)), u1_struct_0(k15_euclid(A)))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_toprealb(k1_nat_1(A, 1), k4_struct_0(k15_euclid(k1_nat_1(A, 1))), 1))) =>  ~ ( ( ~ (v2_borsuk_7(B, k1_nat_1(A, 1), A, k4_struct_0(k15_euclid(k1_nat_1(A, 1))), 1))  & k45_valued_1(k3_funct_2(u1_struct_0(k7_toprealb(k1_nat_1(A, 1), k4_struct_0(k15_euclid(k1_nat_1(A, 1))), 1)), u1_struct_0(k15_euclid(A)), B, C), k1_funct_1(B, k30_valued_1(C)))=k4_struct_0(k15_euclid(A))) ) ) ) ) ) ) ) ).
fof(t67_borsuk_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k7_toprealb(k1_nat_1(A, 1), k4_struct_0(k15_euclid(k1_nat_1(A, 1))), 1)), u1_struct_0(k15_euclid(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_toprealb(k1_nat_1(A, 1), k4_struct_0(k15_euclid(k1_nat_1(A, 1))), 1)), u1_struct_0(k15_euclid(A)))))) )  =>  ( ~ (v2_borsuk_7(B, k1_nat_1(A, 1), A, k4_struct_0(k15_euclid(k1_nat_1(A, 1))), 1))  => v1_borsuk_7(k15_borsuk_7(A, B))) ) ) ) ) ).
fof(t68_borsuk_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k7_toprealb(k1_nat_1(A, 1), k4_struct_0(k15_euclid(k1_nat_1(A, 1))), 1)), u1_struct_0(k15_euclid(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_toprealb(k1_nat_1(A, 1), k4_struct_0(k15_euclid(k1_nat_1(A, 1))), 1)), u1_struct_0(k15_euclid(A)))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k7_toprealb(k1_nat_1(A, 1), k4_struct_0(k15_euclid(k1_nat_1(A, 1))), 1)), u1_struct_0(k15_euclid(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_toprealb(k1_nat_1(A, 1), k4_struct_0(k15_euclid(k1_nat_1(A, 1))), 1)), u1_struct_0(k15_euclid(A)))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k7_toprealb(k1_nat_1(A, 1), k4_struct_0(k15_euclid(k1_nat_1(A, 1))), 1)), u1_struct_0(k15_euclid(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_toprealb(k1_nat_1(A, 1), k4_struct_0(k15_euclid(k1_nat_1(A, 1))), 1)), u1_struct_0(k15_euclid(A)))))) )  =>  ( (C=k20_valued_2(u1_struct_0(k7_toprealb(k1_nat_1(A, 1), k4_struct_0(k15_euclid(k1_nat_1(A, 1))), 1)), u1_struct_0(k15_euclid(A)), B) & D=k80_valued_2(u1_struct_0(k7_toprealb(k1_nat_1(A, 1), k4_struct_0(k15_euclid(k1_nat_1(A, 1))), 1)), u1_struct_0(k7_toprealb(k1_nat_1(A, 1), k4_struct_0(k15_euclid(k1_nat_1(A, 1))), 1)), u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)), B, C))  =>  (v2_borsuk_7(B, k1_nat_1(A, 1), A, k4_struct_0(k15_euclid(k1_nat_1(A, 1))), 1) | k15_borsuk_7(A, B)=k70_valued_2(u1_struct_0(k7_toprealb(k1_nat_1(A, 1), k4_struct_0(k15_euclid(k1_nat_1(A, 1))), 1)), u1_struct_0(k15_euclid(A)), D, k1_partfun1(u1_struct_0(k7_toprealb(k1_nat_1(A, 1), k4_struct_0(k15_euclid(k1_nat_1(A, 1))), 1)), u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)), u1_struct_0(k3_topmetr), D, k1_jgraph_4(A)))) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_borsuk_7, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k3_topmetr)) & v1_xreal_0(B))  => m1_subset_1(k1_borsuk_7(A, B), u1_struct_0(k3_topmetr))) ) ).
fof(commutativity_k1_borsuk_7, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k3_topmetr)) & v1_xreal_0(B))  => k1_borsuk_7(A, B)=k1_borsuk_7(B, A)) ) ).
fof(redefinition_k1_borsuk_7, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k3_topmetr)) & v1_xreal_0(B))  => k1_borsuk_7(A, B)=k2_xcmplx_0(A, B)) ) ).
fof(dt_k2_borsuk_7, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k3_topmetr)) & v1_xreal_0(B))  => m1_subset_1(k2_borsuk_7(A, B), u1_struct_0(k3_topmetr))) ) ).
fof(redefinition_k2_borsuk_7, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k3_topmetr)) & v1_xreal_0(B))  => k2_borsuk_7(A, B)=k6_xcmplx_0(A, B)) ) ).
fof(dt_k3_borsuk_7, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, A, u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k3_topmetr))))) )  & v1_xreal_0(C))  =>  (v1_funct_1(k3_borsuk_7(A, B, C)) &  (v1_funct_2(k3_borsuk_7(A, B, C), A, u1_struct_0(k3_topmetr)) & m1_subset_1(k3_borsuk_7(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k3_topmetr))))) ) ) ) ).
fof(redefinition_k3_borsuk_7, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, A, u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k3_topmetr))))) )  & v1_xreal_0(C))  => k3_borsuk_7(A, B, C)=k7_valued_1(B, C)) ) ).
fof(dt_k4_borsuk_7, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, A, u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k3_topmetr))))) )  & v1_xreal_0(C))  =>  (v1_funct_1(k4_borsuk_7(A, B, C)) &  (v1_funct_2(k4_borsuk_7(A, B, C), A, u1_struct_0(k3_topmetr)) & m1_subset_1(k4_borsuk_7(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k3_topmetr))))) ) ) ) ).
fof(redefinition_k4_borsuk_7, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, A, u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k3_topmetr))))) )  & v1_xreal_0(C))  => k4_borsuk_7(A, B, C)=k13_valued_1(B, C)) ) ).
fof(dt_k5_borsuk_7, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, u1_struct_0(k3_topmetr)) &  (m1_subset_1(B, u1_struct_0(k3_topmetr)) &  (m1_borsuk_2(C, k3_topmetr, A, B) & v1_xreal_0(D)) ) )  => m1_borsuk_2(k5_borsuk_7(A, B, C, D), k3_topmetr, k1_borsuk_7(A, D), k1_borsuk_7(B, D))) ) ).
fof(redefinition_k5_borsuk_7, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, u1_struct_0(k3_topmetr)) &  (m1_subset_1(B, u1_struct_0(k3_topmetr)) &  (m1_borsuk_2(C, k3_topmetr, A, B) & v1_xreal_0(D)) ) )  => k5_borsuk_7(A, B, C, D)=k7_valued_1(C, D)) ) ).
fof(dt_k6_borsuk_7, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, u1_struct_0(k3_topmetr)) &  (m1_subset_1(B, u1_struct_0(k3_topmetr)) &  (m1_borsuk_2(C, k3_topmetr, A, B) & v1_xreal_0(D)) ) )  => m1_borsuk_2(k6_borsuk_7(A, B, C, D), k3_topmetr, k2_borsuk_7(A, D), k2_borsuk_7(B, D))) ) ).
fof(redefinition_k6_borsuk_7, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, u1_struct_0(k3_topmetr)) &  (m1_subset_1(B, u1_struct_0(k3_topmetr)) &  (m1_borsuk_2(C, k3_topmetr, A, B) & v1_xreal_0(D)) ) )  => k6_borsuk_7(A, B, C, D)=k13_valued_1(C, D)) ) ).
fof(dt_k7_borsuk_7, axiom, m1_subset_1(k7_borsuk_7, u1_struct_0(k8_toprealb(3)))).
fof(dt_k8_borsuk_7, axiom, m1_subset_1(k8_borsuk_7, u1_struct_0(k8_toprealb(3)))).
fof(dt_k9_borsuk_7, axiom,  (! [A, B] :  ( ( (v1_xreal_0(A) &  ~ (v3_xxreal_0(A)) )  & v1_xreal_0(B))  =>  (v1_funct_1(k9_borsuk_7(A, B)) &  (v1_funct_2(k9_borsuk_7(A, B), u1_struct_0(k7_toprealb(2, k4_struct_0(k15_euclid(2)), A)), u1_struct_0(k7_toprealb(2, k4_struct_0(k15_euclid(2)), A))) & m1_subset_1(k9_borsuk_7(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_toprealb(2, k4_struct_0(k15_euclid(2)), A)), u1_struct_0(k7_toprealb(2, k4_struct_0(k15_euclid(2)), A)))))) ) ) ) ).
fof(dt_k10_borsuk_7, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) &  (v1_xreal_0(C) &  ~ (v3_xxreal_0(C)) ) ) )  =>  (v1_funct_1(k10_borsuk_7(A, B, C)) &  (v1_funct_2(k10_borsuk_7(A, B, C), u1_struct_0(k8_toprealb(A)), u1_struct_0(k7_toprealb(A, B, C))) & m1_subset_1(k10_borsuk_7(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k8_toprealb(A)), u1_struct_0(k7_toprealb(A, B, C)))))) ) ) ) ).
fof(dt_k11_borsuk_7, axiom,  (v1_funct_1(k11_borsuk_7) &  (v1_funct_2(k11_borsuk_7, u1_struct_0(k3_topmetr), u1_struct_0(k8_toprealb(3))) & m1_subset_1(k11_borsuk_7, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_topmetr), u1_struct_0(k8_toprealb(3)))))) ) ).
fof(dt_k12_borsuk_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_funct_1(k12_borsuk_7(A)) &  (v1_funct_2(k12_borsuk_7(A), u1_struct_0(k17_borsuk_1), u1_struct_0(k8_toprealb(3))) & m1_subset_1(k12_borsuk_7(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_borsuk_1), u1_struct_0(k8_toprealb(3)))))) ) ) ) ).
fof(dt_k13_borsuk_7, axiom,  (! [A] :  (v1_int_1(A) => m1_borsuk_2(k13_borsuk_7(A), k8_toprealb(3), k7_borsuk_7, k7_borsuk_7)) ) ).
fof(redefinition_k13_borsuk_7, axiom,  (! [A] :  (v1_int_1(A) => k13_borsuk_7(A)=k12_borsuk_7(A)) ) ).
fof(dt_k14_borsuk_7, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, u1_struct_0(k15_euclid(A))))  => m1_subset_1(k14_borsuk_7(A, B), u1_struct_0(k7_toprealb(A, k4_struct_0(k15_euclid(A)), 1)))) ) ).
fof(dt_k15_borsuk_7, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k7_toprealb(k1_nat_1(A, 1), k4_struct_0(k15_euclid(k1_nat_1(A, 1))), 1)), u1_struct_0(k15_euclid(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_toprealb(k1_nat_1(A, 1), k4_struct_0(k15_euclid(k1_nat_1(A, 1))), 1)), u1_struct_0(k15_euclid(A)))))) ) )  =>  (v1_funct_1(k15_borsuk_7(A, B)) &  (v1_funct_2(k15_borsuk_7(A, B), u1_struct_0(k8_toprealb(k1_nat_1(A, 1))), u1_struct_0(k8_toprealb(A))) & m1_subset_1(k15_borsuk_7(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k8_toprealb(k1_nat_1(A, 1))), u1_struct_0(k8_toprealb(A)))))) ) ) ) ).
fof(dt_k16_borsuk_7, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, u1_struct_0(k8_toprealb(2))) &  (m1_subset_1(B, u1_struct_0(k8_toprealb(2))) & m1_borsuk_2(D, k8_toprealb(2), A, B)) )  =>  (v1_funct_1(k16_borsuk_7(A, B, C, D)) &  (v1_funct_2(k16_borsuk_7(A, B, C, D), u1_struct_0(k17_borsuk_1), u1_struct_0(k3_topmetr)) & m1_subset_1(k16_borsuk_7(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_borsuk_1), u1_struct_0(k3_topmetr))))) ) ) ) ).
fof(fc1_brouwer, axiom,  (! [A, B] :  ( ( ( ~ (v7_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) ) )  =>  ~ (v1_xboole_0(k1_brouwer(A, B))) ) ) ).
fof(fc2_brouwer, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ~ (v7_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) ) )  =>  ~ (v1_xboole_0(k1_brouwer(A, B))) ) ) ).
fof(fc3_brouwer, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) &  (v1_xreal_0(C) &  ~ (v3_xxreal_0(C)) ) ) )  =>  ~ (v2_struct_0(k2_brouwer(A, B, C))) ) ) ).
fof(fc4_brouwer, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k4_ordinal1) &  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) & v1_xreal_0(C)) )  => v1_topalg_2(k2_brouwer(A, B, C), A)) ) ).
fof(t1_brouwer, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (r2_tarski(C, k1_brouwer(A, B)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (C=k4_borsuk_1(A, B, D, E) &  ~ (D=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_brouwer, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) => k2_topreal9(A, B, k5_numbers)=k1_tarski(B)) ) ) ) ).
fof(d2_brouwer, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (v1_xreal_0(C) => k2_brouwer(A, B, C)=k1_pre_topc(k15_euclid(A), k2_topreal9(A, B, C))) ) ) ) ) ) ).
fof(t3_brouwer, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) => u1_struct_0(k2_brouwer(A, C, B))=k2_topreal9(A, C, B)) ) ) ) ) ) ).
fof(t4_brouwer, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_xreal_0(B) &  ~ (v3_xxreal_0(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  ~ ( ( ~ (C=D)  &  (m1_subset_1(C, u1_struct_0(k2_brouwer(A, E, B))) &  ( ~ (m1_subset_1(C, u1_struct_0(k7_toprealb(A, E, B))))  &  (! [F] :  (m1_subset_1(F, u1_struct_0(k7_toprealb(A, E, B))) =>  ~ (k1_tarski(F)=k9_subset_1(u1_struct_0(k15_euclid(A)), k4_topreal9(k15_euclid(A), C, D), k3_topreal9(A, E, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_brouwer, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_xreal_0(B) &  ~ (v3_xxreal_0(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  ~ ( ( ~ (C=D)  &  (r2_tarski(C, u1_struct_0(k7_toprealb(A, E, B))) &  (m1_subset_1(D, u1_struct_0(k2_brouwer(A, E, B))) &  (! [F] :  (m1_subset_1(F, u1_struct_0(k7_toprealb(A, E, B))) =>  ~ ( ( ~ (F=C)  & k2_tarski(C, F)=k9_subset_1(u1_struct_0(k15_euclid(A)), k4_topreal9(k15_euclid(A), C, D), k3_topreal9(A, E, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_brouwer, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  ( (v1_xreal_0(E) &  ~ (v3_xxreal_0(E)) )  =>  ( (m1_subset_1(C, u1_struct_0(k2_brouwer(A, B, E))) & m1_subset_1(D, u1_struct_0(k2_brouwer(A, B, E))))  =>  (C=D |  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(A))) =>  (F=k3_brouwer(A, B, C, D, E) <=>  (r2_tarski(F, k9_subset_1(u1_struct_0(k15_euclid(A)), k4_topreal9(k15_euclid(A), C, D), k3_topreal9(A, B, E))) &  ~ (F=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_brouwer, axiom,  (! [A] :  ( (v1_xreal_0(A) &  ~ (v3_xxreal_0(A)) )  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(B))) =>  ( (m1_subset_1(C, u1_struct_0(k2_brouwer(B, E, A))) & m1_subset_1(D, u1_struct_0(k2_brouwer(B, E, A))))  =>  (C=D | m1_subset_1(k3_brouwer(B, E, C, D, A), u1_struct_0(k7_toprealb(B, E, A)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_brouwer, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_xreal_0(B) &  ~ (v3_xxreal_0(B)) )  =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & m1_subset_1(C, k4_ordinal1))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(C))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(C))) =>  (! [G] :  (m1_subset_1(G, k1_euclid(C)) =>  (! [H] :  (m1_subset_1(H, k1_euclid(C)) =>  (! [I] :  (m1_subset_1(I, k1_euclid(C)) =>  ( (G=D &  (H=E &  (I=F &  (m1_subset_1(D, u1_struct_0(k2_brouwer(C, F, B))) &  (m1_subset_1(E, u1_struct_0(k2_brouwer(C, F, B))) & A=k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(k22_rvsum_1(k5_algstr_0(k15_euclid(C), E, D), k5_algstr_0(k15_euclid(C), D, F))), k3_square_1(k6_xcmplx_0(k1_square_1(k22_rvsum_1(k5_algstr_0(k15_euclid(C), E, D), k5_algstr_0(k15_euclid(C), D, F))), k3_xcmplx_0(k18_rvsum_1(k11_euclid(C, k8_euclid(C, H, G))), k6_xcmplx_0(k18_rvsum_1(k11_euclid(C, k8_euclid(C, G, I))), k1_square_1(B)))))), k18_rvsum_1(k11_euclid(C, k8_euclid(C, H, G))))) ) ) ) )  =>  (D=E | k3_brouwer(C, F, D, E, B)=k3_rlvect_1(k15_euclid(C), k1_rlvect_1(k15_euclid(C), D, k6_xcmplx_0(1, A)), k1_rlvect_1(k15_euclid(C), E, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_brouwer, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_xreal_0(B) &  ~ (v3_xxreal_0(B)) )  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(2))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k15_euclid(2))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k15_euclid(2))) =>  ( (m1_subset_1(G, u1_struct_0(k2_brouwer(2, I, B))) &  (m1_subset_1(H, u1_struct_0(k2_brouwer(2, I, B))) &  (C=k6_xcmplx_0(k17_euclid(H), k17_euclid(G)) &  (D=k6_xcmplx_0(k18_euclid(H), k18_euclid(G)) &  (E=k6_xcmplx_0(k17_euclid(G), k17_euclid(I)) &  (F=k6_xcmplx_0(k18_euclid(G), k18_euclid(I)) & A=k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(E, C), k3_xcmplx_0(F, D))), k3_square_1(k6_xcmplx_0(k1_square_1(k2_xcmplx_0(k3_xcmplx_0(E, C), k3_xcmplx_0(F, D))), k3_xcmplx_0(k2_xcmplx_0(k1_square_1(C), k1_square_1(D)), k6_xcmplx_0(k2_xcmplx_0(k1_square_1(E), k1_square_1(F)), k1_square_1(B)))))), k2_xcmplx_0(k1_square_1(C), k1_square_1(D)))) ) ) ) ) )  =>  (G=H | k3_brouwer(2, I, G, H, B)=k19_euclid(k2_xcmplx_0(k17_euclid(G), k3_xcmplx_0(A, C)), k2_xcmplx_0(k18_euclid(G), k3_xcmplx_0(A, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_brouwer, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  ( (v1_xreal_0(C) &  ~ (v3_xxreal_0(C)) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_brouwer(A, B, C))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k2_brouwer(A, B, C)), u1_struct_0(k2_brouwer(A, B, C))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_brouwer(A, B, C)), u1_struct_0(k2_brouwer(A, B, C)))))) )  =>  ( ~ (r2_abian(u1_struct_0(k2_brouwer(A, B, C)), D, E))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k7_toprealb(A, B, C))) =>  (F=k4_brouwer(A, B, C, D, E) <=>  (? [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(A))) &  (? [H] :  (m1_subset_1(H, u1_struct_0(k15_euclid(A))) &  (G=D &  (H=k3_funct_2(u1_struct_0(k2_brouwer(A, B, C)), u1_struct_0(k2_brouwer(A, B, C)), E, D) & F=k3_brouwer(A, B, H, G, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_brouwer, axiom,  (! [A] :  ( (v1_xreal_0(A) &  ~ (v3_xxreal_0(A)) )  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_brouwer(B, C, A))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k2_brouwer(B, C, A)), u1_struct_0(k2_brouwer(B, C, A))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_brouwer(B, C, A)), u1_struct_0(k2_brouwer(B, C, A)))))) )  =>  (m1_subset_1(D, u1_struct_0(k7_toprealb(B, C, A))) =>  (r2_abian(u1_struct_0(k2_brouwer(B, C, A)), D, E) | k4_brouwer(B, C, A, D, E)=D) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_brouwer, axiom,  (! [A] :  ( (v1_xreal_0(A) & v2_xxreal_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & m1_pre_topc(C, k2_brouwer(2, B, A)))  =>  ~ ( (C=k7_toprealb(2, B, A) & r1_borsuk_1(k2_brouwer(2, B, A), C)) ) ) ) ) ) ) ) ).
fof(d5_brouwer, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_xreal_0(B) &  ~ (v3_xxreal_0(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k2_brouwer(A, C, B)), u1_struct_0(k2_brouwer(A, C, B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_brouwer(A, C, B)), u1_struct_0(k2_brouwer(A, C, B)))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k2_brouwer(A, C, B)), u1_struct_0(k7_toprealb(A, C, B))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_brouwer(A, C, B)), u1_struct_0(k7_toprealb(A, C, B)))))) )  =>  (E=k5_brouwer(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_brouwer(A, C, B))) => k3_funct_2(u1_struct_0(k2_brouwer(A, C, B)), u1_struct_0(k7_toprealb(A, C, B)), E, F)=k4_brouwer(A, C, B, F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_brouwer, axiom,  (! [A] :  ( (v1_xreal_0(A) &  ~ (v3_xxreal_0(A)) )  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_brouwer(B, C, A))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k2_brouwer(B, C, A)), u1_struct_0(k2_brouwer(B, C, A))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_brouwer(B, C, A)), u1_struct_0(k2_brouwer(B, C, A)))))) )  =>  (m1_subset_1(D, u1_struct_0(k7_toprealb(B, C, A))) =>  (r2_abian(u1_struct_0(k2_brouwer(B, C, A)), D, E) | k3_funct_2(u1_struct_0(k2_brouwer(B, C, A)), u1_struct_0(k7_toprealb(B, C, A)), k5_brouwer(B, A, C, E), D)=D) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_brouwer, axiom,  (! [A] :  ( (v1_xreal_0(A) &  ~ (v3_xxreal_0(A)) )  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(B))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k2_brouwer(B, C, A)), u1_struct_0(k2_brouwer(B, C, A))) &  (v5_pre_topc(D, k2_brouwer(B, C, A), k2_brouwer(B, C, A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_brouwer(B, C, A)), u1_struct_0(k2_brouwer(B, C, A)))))) ) )  =>  ( ~ (v2_abian(D))  => k2_partfun1(u1_struct_0(k2_brouwer(B, C, A)), u1_struct_0(k7_toprealb(B, C, A)), k5_brouwer(B, A, C, D), k3_topreal9(B, C, A))=k3_struct_0(k7_toprealb(B, C, A))) ) ) ) ) ) ) ) ) ).
fof(t13_brouwer, axiom,  (! [A] :  ( (v1_xreal_0(A) & v2_xxreal_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k2_brouwer(2, B, A)), u1_struct_0(k2_brouwer(2, B, A))) &  (v5_pre_topc(C, k2_brouwer(2, B, A), k2_brouwer(2, B, A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_brouwer(2, B, A)), u1_struct_0(k2_brouwer(2, B, A)))))) ) )  =>  ( ~ (v2_abian(C))  => v5_pre_topc(k5_brouwer(2, A, B, C), k2_brouwer(2, B, A), k7_toprealb(2, B, A))) ) ) ) ) ) ) ).
fof(t14_brouwer, axiom,  (! [A] :  ( (v1_xreal_0(A) &  ~ (v3_xxreal_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k2_brouwer(2, B, A)), u1_struct_0(k2_brouwer(2, B, A))) &  (v5_pre_topc(C, k2_brouwer(2, B, A), k2_brouwer(2, B, A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_brouwer(2, B, A)), u1_struct_0(k2_brouwer(2, B, A)))))) ) )  => v2_abian(C)) ) ) ) ) ) ).
fof(t15_brouwer, axiom,  (! [A] :  ( (v1_xreal_0(A) &  ~ (v3_xxreal_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k2_brouwer(2, B, A)), u1_struct_0(k2_brouwer(2, B, A))) &  (v5_pre_topc(C, k2_brouwer(2, B, A), k2_brouwer(2, B, A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_brouwer(2, B, A)), u1_struct_0(k2_brouwer(2, B, A)))))) ) )  =>  (? [D] :  (m1_subset_1(D, u1_struct_0(k2_brouwer(2, B, A))) & k3_funct_2(u1_struct_0(k2_brouwer(2, B, A)), u1_struct_0(k2_brouwer(2, B, A)), C, D)=D) ) ) ) ) ) ) ) ).
fof(dt_k1_brouwer, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) ) )  => m1_subset_1(k1_brouwer(A, B), k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A, B))))) ) ).
fof(dt_k2_brouwer, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) & v1_xreal_0(C)) )  => m1_pre_topc(k2_brouwer(A, B, C), k15_euclid(A))) ) ).
fof(dt_k3_brouwer, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  &  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) &  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) &  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) &  (v1_xreal_0(E) &  ~ (v3_xxreal_0(E)) ) ) ) ) )  => m1_subset_1(k3_brouwer(A, B, C, D, E), u1_struct_0(k15_euclid(A)))) ) ).
fof(dt_k4_brouwer, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  &  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) &  ( (v1_xreal_0(C) &  ~ (v3_xxreal_0(C)) )  &  (m1_subset_1(D, u1_struct_0(k2_brouwer(A, B, C))) &  (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k2_brouwer(A, B, C)), u1_struct_0(k2_brouwer(A, B, C))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_brouwer(A, B, C)), u1_struct_0(k2_brouwer(A, B, C)))))) ) ) ) ) )  => m1_subset_1(k4_brouwer(A, B, C, D, E), u1_struct_0(k7_toprealb(A, B, C)))) ) ).
fof(dt_k5_brouwer, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  &  ( (v1_xreal_0(B) &  ~ (v3_xxreal_0(B)) )  &  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) &  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k2_brouwer(A, C, B)), u1_struct_0(k2_brouwer(A, C, B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_brouwer(A, C, B)), u1_struct_0(k2_brouwer(A, C, B)))))) ) ) ) )  =>  (v1_funct_1(k5_brouwer(A, B, C, D)) &  (v1_funct_2(k5_brouwer(A, B, C, D), u1_struct_0(k2_brouwer(A, C, B)), u1_struct_0(k7_toprealb(A, C, B))) & m1_subset_1(k5_brouwer(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_brouwer(A, C, B)), u1_struct_0(k7_toprealb(A, C, B)))))) ) ) ) ).
fof(d1_brouwer, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  => k1_brouwer(A, B)=a_2_0_brouwer(A, B)) ) ) ) ).
fof(fraenkel_a_2_0_brouwer, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  &  ( ~ (v2_struct_0(C))  &  (v2_pre_topc(C) & l1_pre_topc(C)) ) )  =>  (r2_hidden(A, a_2_0_brouwer(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, u1_struct_0(B)) & m1_subset_1(E, u1_struct_0(C)))  &  (A=k4_borsuk_1(B, C, D, E) &  ~ (D=E) ) ) ) ) ) ) ).
fof(fc1_brouwer2, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k4_ordinal1) &  ( (v9_rltopsp1(B, k15_euclid(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  & m1_subset_1(C, u1_struct_0(k15_euclid(A)))) )  => v9_rltopsp1(k5_rusub_4(k15_euclid(A), B, C), k15_euclid(A))) ) ).
fof(t1_brouwer2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (v1_xreal_0(D) => k3_rlvect_1(k15_euclid(A), k1_rlvect_1(k15_euclid(A), B, k6_xcmplx_0(1, D)), k1_rlvect_1(k15_euclid(A), C, D))=k3_rlvect_1(k15_euclid(A), B, k1_rlvect_1(k15_euclid(A), k5_algstr_0(k15_euclid(A), C, B), D))) ) ) ) ) ) ) ) ).
fof(t2_brouwer2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  ( (r2_tarski(D, k4_topreal9(k15_euclid(A), B, C)) &  (r2_tarski(E, k4_topreal9(k15_euclid(A), B, C)) & k12_euclid(k5_algstr_0(k15_euclid(A), D, B))=k12_euclid(k5_algstr_0(k15_euclid(A), E, B))) )  => D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_brouwer2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  ~ ( (r2_tarski(B, D) &  ( ~ (B=C)  &  (v9_rltopsp1(k9_subset_1(u1_struct_0(k15_euclid(A)), D, k4_topreal9(k15_euclid(A), B, C)), k15_euclid(A)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  ~ ( (r2_tarski(E, k9_subset_1(u1_struct_0(k15_euclid(A)), k2_tops_1(k15_euclid(A), D), k4_topreal9(k15_euclid(A), B, C))) &  ( (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(A))) =>  (r2_tarski(F, k9_subset_1(u1_struct_0(k15_euclid(A)), D, k4_topreal9(k15_euclid(A), B, C))) => r1_xxreal_0(k12_euclid(k5_algstr_0(k15_euclid(A), B, F)), k12_euclid(k5_algstr_0(k15_euclid(A), B, E)))) ) )  &  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(F, k5_numbers))  &  (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(A))) =>  ~ ( (r2_tarski(G, k9_subset_1(u1_struct_0(k15_euclid(A)), D, k4_topreal9(k15_euclid(A), B, C))) &  ~ (r1_xxreal_0(F, k12_euclid(k5_algstr_0(k15_euclid(A), E, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_brouwer2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  ( (v1_convex1(D, k15_euclid(A)) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  ~ ( (v4_pre_topc(D, k15_euclid(A)) &  (r2_tarski(B, k1_tops_1(k15_euclid(A), D)) &  ( ~ (B=C)  &  (v9_rltopsp1(k9_subset_1(u1_struct_0(k15_euclid(A)), D, k4_topreal9(k15_euclid(A), B, C)), k15_euclid(A)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  ~ (k9_subset_1(u1_struct_0(k15_euclid(A)), k2_tops_1(k15_euclid(A), D), k4_topreal9(k15_euclid(A), B, C))=k6_domain_1(u1_struct_0(k15_euclid(A)), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_brouwer2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  => k2_tops_1(k15_euclid(A), k2_topreal9(A, B, C))=k3_topreal9(A, B, C)) ) ) ) ) ) ) ).
fof(t6_brouwer2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_convex1(B, k15_euclid(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  ~ ( (v2_compts_1(B, k15_euclid(A)) &  ( ~ (v2_tops_1(B, k15_euclid(A)))  &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k1_pre_topc(k15_euclid(A), B)), u1_struct_0(k2_brouwer(A, k4_struct_0(k15_euclid(A)), 1))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A), B)), u1_struct_0(k2_brouwer(A, k4_struct_0(k15_euclid(A)), 1)))))) )  =>  ~ ( (v3_tops_2(C, k1_pre_topc(k15_euclid(A), B), k2_brouwer(A, k4_struct_0(k15_euclid(A)), 1)) & k7_relset_1(u1_struct_0(k1_pre_topc(k15_euclid(A), B)), u1_struct_0(k2_brouwer(A, k4_struct_0(k15_euclid(A)), 1)), C, k2_tops_1(k15_euclid(A), B))=k3_topreal9(A, k4_struct_0(k15_euclid(A)), 1)) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_brouwer2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_convex1(B, k15_euclid(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (! [C] :  ( (v1_convex1(C, k15_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  ~ ( (v2_compts_1(B, k15_euclid(A)) &  ( ~ (v2_tops_1(B, k15_euclid(A)))  &  (v2_compts_1(C, k15_euclid(A)) &  ( ~ (v2_tops_1(C, k15_euclid(A)))  &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k1_pre_topc(k15_euclid(A), B)), u1_struct_0(k1_pre_topc(k15_euclid(A), C))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A), B)), u1_struct_0(k1_pre_topc(k15_euclid(A), C)))))) )  =>  ~ ( (v3_tops_2(D, k1_pre_topc(k15_euclid(A), B), k1_pre_topc(k15_euclid(A), C)) & k7_relset_1(u1_struct_0(k1_pre_topc(k15_euclid(A), B)), u1_struct_0(k1_pre_topc(k15_euclid(A), C)), D, k2_tops_1(k15_euclid(A), B))=k2_tops_1(k15_euclid(A), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_brouwer2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_convex1(B, k15_euclid(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (v2_compts_1(B, k15_euclid(A)) =>  (v2_tops_1(B, k15_euclid(A)) |  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k1_pre_topc(k15_euclid(A), B)), u1_struct_0(k1_pre_topc(k15_euclid(A), B))) &  (v5_pre_topc(C, k1_pre_topc(k15_euclid(A), B), k1_pre_topc(k15_euclid(A), B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A), B)), u1_struct_0(k1_pre_topc(k15_euclid(A), B)))))) ) )  => v2_abian(C)) ) ) ) ) ) ) ) ).
fof(t9_brouwer2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_convex1(B, k15_euclid(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A))))) )  =>  (v2_compts_1(B, k15_euclid(A)) =>  (v2_tops_1(B, k15_euclid(A)) |  (! [C] :  ( ( ~ (v2_struct_0(C))  & m1_pre_topc(C, k1_pre_topc(k15_euclid(A), B)))  =>  ~ ( (k2_struct_0(C)=k2_tops_1(k15_euclid(A), B) & r1_borsuk_1(k1_pre_topc(k15_euclid(A), B), C)) ) ) ) ) ) ) ) ) ) ).
fof(cc1_brouwer3, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k15_euclid(B))))) =>  ( (v1_funct_1(C) & v1_funct_2(C, A, u1_struct_0(k15_euclid(B))))  =>  (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(k15_euclid(B))) & v1_pre_poly(C)) ) ) ) ) ) ) ).
fof(fc1_brouwer3, axiom,  (! [A, B, C, D, E] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(k15_euclid(B))) &  (v5_pre_topc(D, A, k15_euclid(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k15_euclid(B)))))) ) )  &  (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(k15_euclid(C))) &  (v5_pre_topc(E, A, k15_euclid(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k15_euclid(C)))))) ) ) ) ) ) )  =>  (v1_funct_1(k8_pre_poly(D, E)) &  (v1_funct_2(k8_pre_poly(D, E), u1_struct_0(A), u1_struct_0(k15_euclid(k2_xcmplx_0(B, C)))) & v5_pre_topc(k8_pre_poly(D, E), A, k15_euclid(k2_xcmplx_0(B, C)))) ) ) ) ).
fof(fc2_brouwer3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  =>  (v1_relat_1(k2_brouwer3(A)) &  (v5_relat_1(k2_brouwer3(A), u1_struct_0(k15_euclid(1))) & v1_funct_1(k2_brouwer3(A))) ) ) ) ).
fof(fc3_brouwer3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k3_topmetr)) &  (v5_pre_topc(B, A, k3_topmetr) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) ) ) )  =>  (v1_funct_1(k2_brouwer3(B)) &  (v1_funct_2(k2_brouwer3(B), u1_struct_0(A), u1_struct_0(k15_euclid(1))) & v5_pre_topc(k2_brouwer3(B), A, k15_euclid(1))) ) ) ) ).
fof(fc4_brouwer3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v1_pscomp_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) )  =>  (v1_funct_1(k2_brouwer3(B)) &  (v1_funct_2(k2_brouwer3(B), u1_struct_0(A), u1_struct_0(k15_euclid(1))) & v5_pre_topc(k2_brouwer3(B), A, k15_euclid(1))) ) ) ) ).
fof(d1_brouwer3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (B=k2_brouwer3(A) <=>  (k9_xtuple_0(B)=k9_xtuple_0(A) &  (! [C] :  (r2_hidden(C, k9_xtuple_0(B)) => k1_funct_1(B, C)=k1_jordan2b(k1_funct_1(A, C))) ) ) ) ) ) ) ) ).
fof(t3_brouwer3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_pre_topc(B) &  (v3_pcomps_1(B) & l1_pre_topc(B)) )  =>  ( (v3_topdim_1(B) & v5_waybel23(B))  =>  (! [C] :  ( (v4_pre_topc(C, B) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r1_xxreal_0(k2_topdim_1(B, k3_subset_1(u1_struct_0(B), C)), A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k1_pre_topc(B, C)), u1_struct_0(k8_toprealb(k1_nat_1(A, 1)))) &  (v5_pre_topc(D, k1_pre_topc(B, C), k8_toprealb(k1_nat_1(A, 1))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(B, C)), u1_struct_0(k8_toprealb(k1_nat_1(A, 1))))))) ) )  =>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(k8_toprealb(k1_nat_1(A, 1)))) &  (v5_pre_topc(E, B, k8_toprealb(k1_nat_1(A, 1))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(k8_toprealb(k1_nat_1(A, 1))))))) ) )  & k2_partfun1(u1_struct_0(B), u1_struct_0(k8_toprealb(k1_nat_1(A, 1))), E, C)=D) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_brouwer3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r2_tarski(B, C))  &  ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k1_pre_topc(k15_euclid(A), C)), u1_struct_0(k1_pre_topc(k15_euclid(A), k3_topreal9(A, B, D)))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A), C)), u1_struct_0(k1_pre_topc(k15_euclid(A), k3_topreal9(A, B, D))))))) )  =>  ~ ( (v5_pre_topc(E, k1_pre_topc(k15_euclid(A), C), k1_pre_topc(k15_euclid(A), k3_topreal9(A, B, D))) & k2_partfun1(u1_struct_0(k1_pre_topc(k15_euclid(A), C)), u1_struct_0(k1_pre_topc(k15_euclid(A), k3_topreal9(A, B, D))), E, k3_topreal9(A, B, D))=k6_partfun1(k9_subset_1(u1_struct_0(k15_euclid(A)), C, k3_topreal9(A, B, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_brouwer3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (r1_xxreal_0(k2_xcmplx_0(D, k12_euclid(k5_algstr_0(k15_euclid(A), B, C))), E) => r1_tarski(k1_topreal9(A, B, D), k1_topreal9(A, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_brouwer3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  ( ~ (v2_tops_1(B, k15_euclid(A)))  => k2_topdim_1(k15_euclid(A), B)=A) ) ) ) ) ).
fof(t7_brouwer3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  => k2_topdim_1(k15_euclid(A), k3_topreal9(A, B, C))=k6_xcmplx_0(A, 1)) ) ) ) ) ) ) ).
fof(t8_brouwer3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  ( (r2_tarski(C, B) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  ( (v3_pre_topc(E, k1_pre_topc(k15_euclid(A), B)) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A), B)))))  =>  ~ ( (r2_tarski(C, E) &  (r1_tarski(E, k1_topreal9(A, C, D)) &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k1_pre_topc(k15_euclid(A), k7_subset_1(u1_struct_0(k15_euclid(A)), B, E))), u1_struct_0(k8_toprealb(A))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A), k7_subset_1(u1_struct_0(k15_euclid(A)), B, E))), u1_struct_0(k8_toprealb(A)))))) )  =>  ~ ( (v5_pre_topc(F, k1_pre_topc(k15_euclid(A), k7_subset_1(u1_struct_0(k15_euclid(A)), B, E)), k8_toprealb(A)) &  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(k1_pre_topc(k15_euclid(A), B)), u1_struct_0(k8_toprealb(A))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A), B)), u1_struct_0(k8_toprealb(A)))))) )  =>  ~ ( (v5_pre_topc(G, k1_pre_topc(k15_euclid(A), B), k8_toprealb(A)) & k2_partfun1(u1_struct_0(k1_pre_topc(k15_euclid(A), B)), u1_struct_0(k8_toprealb(A)), G, k7_subset_1(u1_struct_0(k15_euclid(A)), B, E))=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (r1_xxreal_0(A, k5_numbers) | r2_tarski(C, k2_tops_1(k15_euclid(A), B))) ) ) ) ) ) ) ) ).
fof(t9_brouwer3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  ( (r2_tarski(C, k2_tops_1(k15_euclid(A), B)) & v4_pre_topc(B, k15_euclid(A)))  =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  ( (v3_pre_topc(E, k1_pre_topc(k15_euclid(A), B)) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A), B)))))  =>  ~ ( (r2_tarski(C, E) &  (r1_tarski(E, k1_topreal9(A, C, D)) &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k1_pre_topc(k15_euclid(A), k7_subset_1(u1_struct_0(k15_euclid(A)), B, E))), u1_struct_0(k8_toprealb(A))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A), k7_subset_1(u1_struct_0(k15_euclid(A)), B, E))), u1_struct_0(k8_toprealb(A)))))) )  =>  ~ ( (v5_pre_topc(F, k1_pre_topc(k15_euclid(A), k7_subset_1(u1_struct_0(k15_euclid(A)), B, E)), k8_toprealb(A)) &  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(k1_pre_topc(k15_euclid(A), B)), u1_struct_0(k8_toprealb(A))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A), B)), u1_struct_0(k8_toprealb(A)))))) )  =>  ~ ( (v5_pre_topc(G, k1_pre_topc(k15_euclid(A), B), k8_toprealb(A)) & k2_partfun1(u1_struct_0(k1_pre_topc(k15_euclid(A), B)), u1_struct_0(k8_toprealb(A)), G, k7_subset_1(u1_struct_0(k15_euclid(A)), B, E))=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_brouwer3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  ( (v4_pre_topc(C, k15_euclid(A)) & r2_tarski(B, k2_tops_1(k15_euclid(A), C)))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k1_pre_topc(k15_euclid(A), C)), u1_struct_0(k1_pre_topc(k15_euclid(A), D))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A), C)), u1_struct_0(k1_pre_topc(k15_euclid(A), D)))))) )  =>  (v3_tops_2(E, k1_pre_topc(k15_euclid(A), C), k1_pre_topc(k15_euclid(A), D)) => r2_tarski(k1_funct_1(E, B), k2_tops_1(k15_euclid(A), D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_brouwer3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  ( (v4_pre_topc(D, k15_euclid(A)) & r2_tarski(B, k1_tops_1(k15_euclid(A), C)))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k1_pre_topc(k15_euclid(A), C)), u1_struct_0(k1_pre_topc(k15_euclid(A), D))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A), C)), u1_struct_0(k1_pre_topc(k15_euclid(A), D)))))) )  =>  (v3_tops_2(E, k1_pre_topc(k15_euclid(A), C), k1_pre_topc(k15_euclid(A), D)) => r2_tarski(k1_funct_1(E, B), k1_tops_1(k15_euclid(A), D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_brouwer3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  ( (v4_pre_topc(B, k15_euclid(A)) & v4_pre_topc(C, k15_euclid(A)))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k1_pre_topc(k15_euclid(A), B)), u1_struct_0(k1_pre_topc(k15_euclid(A), C))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A), B)), u1_struct_0(k1_pre_topc(k15_euclid(A), C)))))) )  =>  (v3_tops_2(D, k1_pre_topc(k15_euclid(A), B), k1_pre_topc(k15_euclid(A), C)) =>  (k7_relset_1(u1_struct_0(k1_pre_topc(k15_euclid(A), B)), u1_struct_0(k1_pre_topc(k15_euclid(A), C)), D, k1_tops_1(k15_euclid(A), B))=k1_tops_1(k15_euclid(A), C) & k7_relset_1(u1_struct_0(k1_pre_topc(k15_euclid(A), B)), u1_struct_0(k1_pre_topc(k15_euclid(A), C)), D, k2_tops_1(k15_euclid(A), B))=k2_tops_1(k15_euclid(A), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_brouwer3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k2_brouwer(A, B, C)))) =>  (v3_pre_topc(D, k2_brouwer(A, B, C)) =>  (v1_xboole_0(D) |  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  ~ ( (E=D & v1_xboole_0(k1_tops_1(k15_euclid(A), E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_brouwer3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_pre_topc(C) & l1_pre_topc(C)) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(C))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(C))) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(F, k5_numbers))  &  ( ~ (r1_xxreal_0(G, k5_numbers))  &  (? [H] :  (m1_subset_1(H, u1_struct_0(k15_euclid(A))) &  (? [I] :  (m1_subset_1(I, u1_struct_0(k15_euclid(B))) &  (r1_t_0topsp(k1_pre_topc(C, D), k2_brouwer(A, H, F)) &  (r1_t_0topsp(k1_pre_topc(C, E), k2_brouwer(B, I, G)) &  ( ~ (r1_xboole_0(k1_tops_1(C, D), k1_tops_1(C, E)))  &  ~ (A=B) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_brouwer3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_pre_topc(C) & l1_pre_topc(C)) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(C))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(C))) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(F, k5_numbers))  &  ( ~ (r1_xxreal_0(G, k5_numbers))  &  (? [H] :  (m1_subset_1(H, u1_struct_0(k15_euclid(A))) &  (? [I] :  (m1_subset_1(I, u1_struct_0(k15_euclid(B))) &  (r1_t_0topsp(k1_pre_topc(C, D), k1_pre_topc(k15_euclid(A), k1_topreal9(A, H, F))) &  (r1_t_0topsp(k1_pre_topc(C, E), k2_brouwer(B, I, G)) &  ( ~ (r1_xboole_0(k1_tops_1(C, D), k1_tops_1(C, E)))  &  ~ (A=B) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_brouwer3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (v1_xreal_0(D) =>  (k7_relset_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)), k3_rltopsp1(k15_euclid(A), B), k1_topreal9(A, C, D))=k1_topreal9(A, k3_rlvect_1(k15_euclid(A), C, B), D) &  (k7_relset_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)), k3_rltopsp1(k15_euclid(A), B), k2_topreal9(A, C, D))=k2_topreal9(A, k3_rlvect_1(k15_euclid(A), C, B), D) & k7_relset_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)), k3_rltopsp1(k15_euclid(A), B), k3_topreal9(A, C, D))=k3_topreal9(A, k3_rlvect_1(k15_euclid(A), C, B), D)) ) ) ) ) ) ) ) ) ) ).
fof(t17_brouwer3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( ~ (r1_xxreal_0(D, k5_numbers))  =>  (k7_relset_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)), k4_rltopsp1(k15_euclid(A), D), k1_topreal9(A, B, C))=k1_topreal9(A, k1_rlvect_1(k15_euclid(A), B, D), k3_xcmplx_0(C, D)) &  (k7_relset_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)), k4_rltopsp1(k15_euclid(A), D), k2_topreal9(A, B, C))=k2_topreal9(A, k1_rlvect_1(k15_euclid(A), B, D), k3_xcmplx_0(C, D)) & k7_relset_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)), k4_rltopsp1(k15_euclid(A), D), k3_topreal9(A, B, C))=k3_topreal9(A, k1_rlvect_1(k15_euclid(A), B, D), k3_xcmplx_0(C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_brouwer3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))) &  (v13_vectsp_1(D, k15_euclid(A), k15_euclid(A)) &  (v1_topreal9(D, A) &  (v2_matrtop3(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)))))) ) ) ) )  =>  (v2_funct_2(D, u1_struct_0(k15_euclid(A))) =>  (k7_relset_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)), D, k1_topreal9(A, B, C))=k1_topreal9(A, k3_funct_2(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)), D, B), C) &  (k7_relset_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)), D, k2_topreal9(A, B, C))=k2_topreal9(A, k3_funct_2(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)), D, B), C) & k7_relset_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)), D, k3_topreal9(A, B, C))=k3_topreal9(A, k3_funct_2(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)), D, B), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_brouwer3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(k1_nat_1(A, 1)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(k1_nat_1(A, 1)))) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r1_xxreal_0(E, D) &  (r1_xxreal_0(D, k12_euclid(k5_algstr_0(k15_euclid(k1_nat_1(A, 1)), B, C))) &  ( ~ (r1_xxreal_0(k12_euclid(k5_algstr_0(k15_euclid(k1_nat_1(A, 1)), B, C)), E))  &  ( ~ (r1_xxreal_0(k2_xcmplx_0(E, D), k12_euclid(k5_algstr_0(k15_euclid(k1_nat_1(A, 1)), B, C))))  &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k1_pre_topc(k15_euclid(k1_nat_1(A, 1)), k9_subset_1(u1_struct_0(k15_euclid(k1_nat_1(A, 1))), k3_topreal9(k1_nat_1(A, 1), B, D), k2_topreal9(k1_nat_1(A, 1), C, E)))), u1_struct_0(k2_brouwer(A, k4_struct_0(k15_euclid(A)), 1))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(k1_nat_1(A, 1)), k9_subset_1(u1_struct_0(k15_euclid(k1_nat_1(A, 1))), k3_topreal9(k1_nat_1(A, 1), B, D), k2_topreal9(k1_nat_1(A, 1), C, E)))), u1_struct_0(k2_brouwer(A, k4_struct_0(k15_euclid(A)), 1)))))) )  =>  ~ ( (v3_tops_2(F, k1_pre_topc(k15_euclid(k1_nat_1(A, 1)), k9_subset_1(u1_struct_0(k15_euclid(k1_nat_1(A, 1))), k3_topreal9(k1_nat_1(A, 1), B, D), k2_topreal9(k1_nat_1(A, 1), C, E))), k2_brouwer(A, k4_struct_0(k15_euclid(A)), 1)) & k7_relset_1(u1_struct_0(k1_pre_topc(k15_euclid(k1_nat_1(A, 1)), k9_subset_1(u1_struct_0(k15_euclid(k1_nat_1(A, 1))), k3_topreal9(k1_nat_1(A, 1), B, D), k2_topreal9(k1_nat_1(A, 1), C, E)))), u1_struct_0(k2_brouwer(A, k4_struct_0(k15_euclid(A)), 1)), F, k9_subset_1(u1_struct_0(k15_euclid(k1_nat_1(A, 1))), k3_topreal9(k1_nat_1(A, 1), B, D), k3_topreal9(k1_nat_1(A, 1), C, E)))=k3_topreal9(A, k4_struct_0(k15_euclid(A)), 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_brouwer3, axiom,  (! [A, B, C, D, E] :  ( (v7_ordinal1(B) &  (v7_ordinal1(C) &  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(k15_euclid(B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k15_euclid(B)))))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(k15_euclid(C))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k15_euclid(C)))))) ) ) ) )  =>  (v1_funct_1(k1_brouwer3(A, B, C, D, E)) &  (v1_funct_2(k1_brouwer3(A, B, C, D, E), A, u1_struct_0(k15_euclid(k2_xcmplx_0(B, C)))) & m1_subset_1(k1_brouwer3(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k15_euclid(k2_xcmplx_0(B, C))))))) ) ) ) ).
fof(redefinition_k1_brouwer3, axiom,  (! [A, B, C, D, E] :  ( (v7_ordinal1(B) &  (v7_ordinal1(C) &  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(k15_euclid(B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k15_euclid(B)))))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(k15_euclid(C))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k15_euclid(C)))))) ) ) ) )  => k1_brouwer3(A, B, C, D, E)=k8_pre_poly(D, E)) ) ).
fof(dt_k2_brouwer3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  =>  (v1_relat_1(k2_brouwer3(A)) & v1_funct_1(k2_brouwer3(A))) ) ) ).
fof(dt_k3_brouwer3, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  & v3_membered(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (v1_funct_1(k3_brouwer3(A, B, C)) &  (v1_funct_2(k3_brouwer3(A, B, C), A, u1_struct_0(k15_euclid(1))) & m1_subset_1(k3_brouwer3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k15_euclid(1)))))) ) ) ) ).
fof(redefinition_k3_brouwer3, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  & v3_membered(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  => k3_brouwer3(A, B, C)=k2_brouwer3(C)) ) ).
fof(t1_brouwer3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m2_finseq_2(B, k9_funct_2(u1_struct_0(k15_euclid(k1_nat_1(A, 1))), u1_struct_0(k3_topmetr)), k4_finseq_2(A, k9_funct_2(u1_struct_0(k15_euclid(k1_nat_1(A, 1))), u1_struct_0(k3_topmetr)))) =>  ( (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => k1_funct_1(B, C)=k16_toprealc(k1_nat_1(A, 1), C)) ) )  =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(k1_nat_1(A, 1)))) => k3_funct_2(u1_struct_0(k15_euclid(k1_nat_1(A, 1))), u1_struct_0(k15_euclid(A)), k1_tietze_2(A, u1_struct_0(k15_euclid(k1_nat_1(A, 1))), B), C)=k16_finseq_1(A, C)) )  &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(k1_nat_1(A, 1))))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(k1_nat_1(A, 1))))) =>  ( (C=a_1_0_brouwer3(A) & D=a_1_1_brouwer3(A))  =>  (k7_relset_1(u1_struct_0(k15_euclid(k1_nat_1(A, 1))), u1_struct_0(k15_euclid(A)), k1_tietze_2(A, u1_struct_0(k15_euclid(k1_nat_1(A, 1))), B), C)=k2_topreal9(A, k4_struct_0(k15_euclid(A)), 1) &  (k7_relset_1(u1_struct_0(k15_euclid(k1_nat_1(A, 1))), u1_struct_0(k15_euclid(A)), k1_tietze_2(A, u1_struct_0(k15_euclid(k1_nat_1(A, 1))), B), D)=k2_topreal9(A, k4_struct_0(k15_euclid(A)), 1) &  (k7_relset_1(u1_struct_0(k15_euclid(k1_nat_1(A, 1))), u1_struct_0(k15_euclid(A)), k1_tietze_2(A, u1_struct_0(k15_euclid(k1_nat_1(A, 1))), B), k9_subset_1(u1_struct_0(k15_euclid(k1_nat_1(A, 1))), C, D))=k3_topreal9(A, k4_struct_0(k15_euclid(A)), 1) &  ( (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k1_pre_topc(k15_euclid(k1_nat_1(A, 1)), C)), u1_struct_0(k2_brouwer(A, k4_struct_0(k15_euclid(A)), 1))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(k1_nat_1(A, 1)), C)), u1_struct_0(k2_brouwer(A, k4_struct_0(k15_euclid(A)), 1)))))) )  =>  (E=k2_partfun1(u1_struct_0(k15_euclid(k1_nat_1(A, 1))), u1_struct_0(k15_euclid(A)), k1_tietze_2(A, u1_struct_0(k15_euclid(k1_nat_1(A, 1))), B), C) => v3_tops_2(E, k1_pre_topc(k15_euclid(k1_nat_1(A, 1)), C), k2_brouwer(A, k4_struct_0(k15_euclid(A)), 1))) ) )  &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k1_pre_topc(k15_euclid(k1_nat_1(A, 1)), D)), u1_struct_0(k2_brouwer(A, k4_struct_0(k15_euclid(A)), 1))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(k1_nat_1(A, 1)), D)), u1_struct_0(k2_brouwer(A, k4_struct_0(k15_euclid(A)), 1)))))) )  =>  (E=k2_partfun1(u1_struct_0(k15_euclid(k1_nat_1(A, 1))), u1_struct_0(k15_euclid(A)), k1_tietze_2(A, u1_struct_0(k15_euclid(k1_nat_1(A, 1))), B), D) => v3_tops_2(E, k1_pre_topc(k15_euclid(k1_nat_1(A, 1)), D), k2_brouwer(A, k4_struct_0(k15_euclid(A)), 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_brouwer3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  ( (B=a_1_2_brouwer3(A) & C=a_1_3_brouwer3(A))  =>  (v4_pre_topc(B, k15_euclid(A)) & v4_pre_topc(C, k15_euclid(A))) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_brouwer3, axiom,  (! [A, B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (r2_hidden(A, a_1_0_brouwer3(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(k1_nat_1(B, 1)))) &  (A=C &  (r1_xxreal_0(k5_numbers, k1_funct_1(C, k1_nat_1(B, 1))) & k12_euclid(C)=1) ) ) ) ) ) ) ).
fof(fraenkel_a_1_1_brouwer3, axiom,  (! [A, B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (r2_hidden(A, a_1_1_brouwer3(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(k1_nat_1(B, 1)))) &  (A=C &  (r1_xxreal_0(k1_funct_1(C, k1_nat_1(B, 1)), k5_numbers) & k12_euclid(C)=1) ) ) ) ) ) ) ).
fof(fraenkel_a_1_2_brouwer3, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_2_brouwer3(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(B))) &  (A=C &  (r1_xxreal_0(k5_numbers, k1_funct_1(C, B)) & k12_euclid(C)=1) ) ) ) ) ) ) ).
fof(fraenkel_a_1_3_brouwer3, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_3_brouwer3(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(B))) &  (A=C &  (r1_xxreal_0(k1_funct_1(C, B), k5_numbers) & k12_euclid(C)=1) ) ) ) ) ) ) ).
fof(fc1_bspace, axiom,  (! [A] :  ( ~ (v2_struct_0(k7_bspace(A)))  &  (v13_algstr_0(k7_bspace(A)) &  (v8_vectsp_1(k7_bspace(A), k2_bspace) &  (v9_vectsp_1(k7_bspace(A), k2_bspace) &  (v10_vectsp_1(k7_bspace(A), k2_bspace) &  (v11_vectsp_1(k7_bspace(A), k2_bspace) &  (v2_rlvect_1(k7_bspace(A)) &  (v3_rlvect_1(k7_bspace(A)) & v4_rlvect_1(k7_bspace(A))) ) ) ) ) ) ) ) ) ).
fof(fc2_bspace, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k8_bspace(A))) ) ) ).
fof(fc3_bspace, axiom,  (! [A] :  (v1_xboole_0(A) => v1_xboole_0(k8_bspace(A))) ) ).
fof(fc4_bspace, axiom,  (! [A] :  (v1_finset_1(A) => v1_finset_1(k8_bspace(A))) ) ).
fof(fc5_bspace, axiom,  (! [A] :  (v1_finset_1(A) =>  ( ~ (v2_struct_0(k7_bspace(A)))  & v1_matrlin(k7_bspace(A), k2_bspace)) ) ) ).
fof(d1_bspace, axiom,  (! [A] :  (l1_struct_0(A) => k1_bspace(A)=k6_finseq_1(k2_struct_0(A))) ) ).
fof(t1_bspace, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (r2_tarski(B, k4_finseq_1(C)) => r1_struct_0(A, k1_funct_1(C, B))) ) ) ) ) ) ) ).
fof(t2_bspace, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => r1_struct_0(A, k1_funct_1(B, C))) ) )  => m2_finseq_1(B, u1_struct_0(A))) ) ) ) ) ).
fof(d2_bspace, axiom, k2_bspace=k9_int_3(2)).
fof(t3_bspace, axiom, k2_struct_0(k2_bspace)=k7_domain_1(k4_ordinal1, k5_numbers, 1)).
fof(t4_bspace, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_bspace)) =>  (A=k5_numbers | A=1) ) ) ).
fof(t5_bspace, axiom, k4_struct_0(k2_bspace)=k5_numbers).
fof(t6_bspace, axiom, k5_struct_0(k2_bspace)=1).
fof(t7_bspace, axiom, k3_rlvect_1(k2_bspace, k5_struct_0(k2_bspace), k5_struct_0(k2_bspace))=k4_struct_0(k2_bspace)).
fof(t8_bspace, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_bspace)) =>  (A=k4_struct_0(k2_bspace) <=>  ~ (A=k5_struct_0(k2_bspace)) ) ) ) ).
fof(d3_bspace, axiom,  (! [A] :  (! [B] :  ( (r2_hidden(B, A) => k3_bspace(A, B)=k5_struct_0(k2_bspace))  &  ( ~ (r2_hidden(B, A))  => k3_bspace(A, B)=k4_struct_0(k2_bspace)) ) ) ) ).
fof(t9_bspace, axiom,  (! [A] :  (! [B] :  (k3_bspace(A, B)=k5_struct_0(k2_bspace) <=> r2_tarski(B, A)) ) ) ).
fof(t10_bspace, axiom,  (! [A] :  (! [B] :  (k3_bspace(A, B)=k4_struct_0(k2_bspace) <=>  ~ (r2_tarski(B, A)) ) ) ) ).
fof(t11_bspace, axiom,  (! [A] :  (! [B] :  ( ~ (k3_bspace(A, B)=k4_struct_0(k2_bspace))  <=> k3_bspace(A, B)=k5_struct_0(k2_bspace)) ) ) ).
fof(t12_bspace, axiom,  (! [A] :  (! [B] :  (! [C] :  (k3_bspace(A, B)=k3_bspace(A, C) <=>  (r2_tarski(B, A) <=> r2_tarski(C, A)) ) ) ) ) ).
fof(t13_bspace, axiom,  (! [A] :  (! [B] :  (! [C] :  (k3_bspace(A, C)=k3_bspace(B, C) <=>  (r2_tarski(C, A) <=> r2_tarski(C, B)) ) ) ) ) ).
fof(t14_bspace, axiom,  (! [A] : k3_bspace(k1_xboole_0, A)=k4_struct_0(k2_bspace)) ).
fof(t15_bspace, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, A) => k3_bspace(k5_subset_1(A, B, C), D)=k3_rlvect_1(k2_bspace, k3_bspace(B, D), k3_bspace(C, D))) ) ) ) ) ) ) ).
fof(t16_bspace, axiom,  (! [A] :  (! [B] :  (A=B <=>  (! [C] : k3_bspace(A, C)=k3_bspace(B, C)) ) ) ) ).
fof(d4_bspace, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_bspace)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  ( (B=k5_struct_0(k2_bspace) => k4_bspace(A, B, C)=C)  &  (B=k4_struct_0(k2_bspace) => k4_bspace(A, B, C)=k1_subset_1(A)) ) ) ) ) ) ) ).
fof(d5_bspace, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k1_zfmisc_1(A), k1_zfmisc_1(A)), k1_zfmisc_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A), k1_zfmisc_1(A)), k1_zfmisc_1(A))))) )  =>  (B=k5_bspace(A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) => k4_binop_1(k1_zfmisc_1(A), B, C, D)=k5_subset_1(A, C, D)) ) ) ) ) ) ) ) ).
fof(t17_bspace, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_bspace)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) => k4_bspace(A, B, k5_subset_1(A, C, D))=k5_subset_1(A, k4_bspace(A, B, C), k4_bspace(A, B, D))) ) ) ) ) ) ) ).
fof(t18_bspace, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_bspace)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_bspace)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) => k4_bspace(A, k3_rlvect_1(k2_bspace, B, C), D)=k5_subset_1(A, k4_bspace(A, B, D), k4_bspace(A, C, D))) ) ) ) ) ) ) ).
fof(t19_bspace, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k4_bspace(A, k5_struct_0(k2_bspace), B)=B) ) ) ).
fof(t20_bspace, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_bspace)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_bspace)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) => k4_bspace(A, B, k4_bspace(A, C, D))=k4_bspace(A, k8_group_1(k2_bspace, B, C), D)) ) ) ) ) ) ) ).
fof(d6_bspace, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(k2_bspace), k1_zfmisc_1(A)), k1_zfmisc_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_bspace), k1_zfmisc_1(A)), k1_zfmisc_1(A))))) )  =>  (B=k6_bspace(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_bspace)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) => k2_binop_1(u1_struct_0(k2_bspace), k1_zfmisc_1(A), k1_zfmisc_1(A), B, C, D)=k4_bspace(A, C, D)) ) ) ) ) ) ) ) ).
fof(d7_bspace, axiom,  (! [A] : k7_bspace(A)=g1_vectsp_1(k2_bspace, k1_zfmisc_1(A), k5_bspace(A), k1_subset_1(A), k6_bspace(A))) ).
fof(t21_bspace, axiom,  (! [A] : v2_rlvect_1(k7_bspace(A))) ).
fof(t22_bspace, axiom,  (! [A] : v3_rlvect_1(k7_bspace(A))) ).
fof(t23_bspace, axiom,  (! [A] : v4_rlvect_1(k7_bspace(A))) ).
fof(t24_bspace, axiom,  (! [A] : v13_algstr_0(k7_bspace(A))) ).
fof(t25_bspace, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_bspace)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_bspace(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_bspace(A))) => k3_vectsp_1(k2_bspace, k7_bspace(A), B, k1_algstr_0(k7_bspace(A), C, D))=k1_algstr_0(k7_bspace(A), k3_vectsp_1(k2_bspace, k7_bspace(A), B, C), k3_vectsp_1(k2_bspace, k7_bspace(A), B, D))) ) ) ) ) ) ) ).
fof(t26_bspace, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_bspace)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_bspace)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_bspace(A))) => k3_vectsp_1(k2_bspace, k7_bspace(A), k3_rlvect_1(k2_bspace, B, C), D)=k1_algstr_0(k7_bspace(A), k3_vectsp_1(k2_bspace, k7_bspace(A), B, D), k3_vectsp_1(k2_bspace, k7_bspace(A), C, D))) ) ) ) ) ) ) ).
fof(t27_bspace, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_bspace)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_bspace)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_bspace(A))) => k3_vectsp_1(k2_bspace, k7_bspace(A), k8_group_1(k2_bspace, B, C), D)=k3_vectsp_1(k2_bspace, k7_bspace(A), B, k3_vectsp_1(k2_bspace, k7_bspace(A), C, D))) ) ) ) ) ) ) ).
fof(t28_bspace, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k7_bspace(A))) => k3_vectsp_1(k2_bspace, k7_bspace(A), k1_group_1(k2_bspace), B)=B) ) ) ).
fof(t29_bspace, axiom,  (! [A] :  (v8_vectsp_1(k7_bspace(A), k2_bspace) &  (v9_vectsp_1(k7_bspace(A), k2_bspace) &  (v10_vectsp_1(k7_bspace(A), k2_bspace) & v11_vectsp_1(k7_bspace(A), k2_bspace)) ) ) ) ).
fof(t30_bspace, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (m2_subset_1(B, u1_struct_0(k7_bspace(A)), k9_bspace(A)) => v3_card_1(B, 1)) ) ) ) ) ).
fof(d9_bspace, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k7_bspace(A))) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k2_bspace)) =>  (D=k11_bspace(A, B, C) <=>  (k3_finseq_1(D)=k3_finseq_1(B) &  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, k3_finseq_1(B)))  => k1_funct_1(D, E)=k3_bspace(k1_funct_1(B, E), C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_bspace, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) => k11_bspace(A, k1_bspace(k7_bspace(A)), B)=k1_bspace(k2_bspace)) ) ) ) ).
fof(t32_bspace, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k7_bspace(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_bspace(A))) =>  (! [D] :  (m1_subset_1(D, A) => k3_bspace(k3_rlvect_1(k7_bspace(A), B, C), D)=k3_rlvect_1(k2_bspace, k3_bspace(B, D), k3_bspace(C, D))) ) ) ) ) ) ) ).
fof(t33_bspace, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k7_bspace(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_bspace(A))) =>  (! [D] :  (m1_subset_1(D, A) => k11_bspace(A, k8_finseq_1(u1_struct_0(k7_bspace(A)), B, k12_finseq_1(u1_struct_0(k7_bspace(A)), C)), D)=k8_finseq_1(u1_struct_0(k2_bspace), k11_bspace(A, B, D), k12_finseq_1(u1_struct_0(k2_bspace), k3_bspace(C, D)))) ) ) ) ) ) ) ) ).
fof(t34_bspace, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k7_bspace(A))) =>  (! [C] :  (m1_subset_1(C, A) => k3_bspace(k4_rlvect_1(k7_bspace(A), B), C)=k4_rlvect_1(k2_bspace, k11_bspace(A, B, C))) ) ) ) ) ) ).
fof(t35_bspace, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_vectsp_6(B, k2_bspace, k7_bspace(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_bspace(A))) =>  (r2_tarski(C, k1_vectsp_6(k2_bspace, k7_bspace(A), B)) => k10_bspace(k2_bspace, k7_bspace(A), B, C)=k1_group_1(k2_bspace)) ) ) ) ) ) ) ).
fof(t36_bspace, axiom,  (! [A] : v1_vectsp_7(k9_bspace(A), k2_bspace, k7_bspace(A))) ).
fof(t37_bspace, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k7_bspace(A))) =>  ( (? [C] :  (r2_tarski(C, A) & B=k1_tarski(C)) )  => r2_tarski(B, k9_bspace(A))) ) ) ) ).
fof(t38_bspace, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (? [C] :  (m2_vectsp_6(C, k2_bspace, k7_bspace(A), k9_bspace(A)) & k4_vectsp_6(k2_bspace, k7_bspace(A), C)=B) ) ) ) ) ) ).
fof(t39_bspace, axiom,  (! [A] :  (v1_finset_1(A) => k1_vectsp_7(k2_bspace, k7_bspace(A), k9_bspace(A))=k7_bspace(A)) ) ).
fof(t40_bspace, axiom,  (! [A] :  (v1_finset_1(A) =>  (v2_vectsp_7(k9_bspace(A), k2_bspace, k7_bspace(A)) & m1_subset_1(k9_bspace(A), k1_zfmisc_1(u1_struct_0(k7_bspace(A))))) ) ) ).
fof(t41_bspace, axiom,  (! [A] : k1_card_1(k9_bspace(A))=k1_card_1(A)) ).
fof(t42_bspace, axiom,  (! [A] : k1_card_1(k2_struct_0(k7_bspace(A)))=k3_card_2(2, k1_card_1(A))) ).
fof(t43_bspace, axiom, k1_vectsp_9(k2_bspace, k7_bspace(k1_xboole_0))=k5_numbers).
fof(s1_bspace, axiom,  ( (p1_s1_bspace(k1_bspace(f1_s1_bspace)) &  (! [A] :  (m2_finseq_1(A, u1_struct_0(f1_s1_bspace)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(f1_s1_bspace)) =>  (p1_s1_bspace(A) => p1_s1_bspace(k7_finseq_1(A, k9_finseq_1(B)))) ) ) ) ) )  =>  (! [A] :  (m2_finseq_1(A, u1_struct_0(f1_s1_bspace)) => p1_s1_bspace(A)) ) ) ).
fof(dt_k1_bspace, axiom,  (! [A] :  (l1_struct_0(A) => m2_finseq_1(k1_bspace(A), u1_struct_0(A))) ) ).
fof(dt_f1_s1_bspace, axiom, l1_struct_0(f1_s1_bspace)).
fof(dt_k2_bspace, axiom,  ( ~ (v2_struct_0(k2_bspace))  &  ( ~ (v6_struct_0(k2_bspace))  &  (v13_algstr_0(k2_bspace) &  (v33_algstr_0(k2_bspace) &  (v4_vectsp_1(k2_bspace) &  (v5_vectsp_1(k2_bspace) &  (v2_rlvect_1(k2_bspace) &  (v3_rlvect_1(k2_bspace) &  (v4_rlvect_1(k2_bspace) &  (v3_group_1(k2_bspace) &  (v5_group_1(k2_bspace) & l6_algstr_0(k2_bspace)) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k3_bspace, axiom,  (! [A, B] : m1_subset_1(k3_bspace(A, B), u1_struct_0(k2_bspace))) ).
fof(dt_k4_bspace, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, u1_struct_0(k2_bspace)) & m1_subset_1(C, k1_zfmisc_1(A)))  => m1_subset_1(k4_bspace(A, B, C), k1_zfmisc_1(A))) ) ).
fof(dt_k5_bspace, axiom,  (! [A] :  (v1_funct_1(k5_bspace(A)) &  (v1_funct_2(k5_bspace(A), k2_zfmisc_1(k1_zfmisc_1(A), k1_zfmisc_1(A)), k1_zfmisc_1(A)) & m1_subset_1(k5_bspace(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A), k1_zfmisc_1(A)), k1_zfmisc_1(A))))) ) ) ).
fof(dt_k6_bspace, axiom,  (! [A] :  (v1_funct_1(k6_bspace(A)) &  (v1_funct_2(k6_bspace(A), k2_zfmisc_1(u1_struct_0(k2_bspace), k1_zfmisc_1(A)), k1_zfmisc_1(A)) & m1_subset_1(k6_bspace(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_bspace), k1_zfmisc_1(A)), k1_zfmisc_1(A))))) ) ) ).
fof(dt_k7_bspace, axiom,  (! [A] :  ( ~ (v2_struct_0(k7_bspace(A)))  & l1_vectsp_1(k7_bspace(A), k2_bspace)) ) ).
fof(dt_k9_bspace, axiom,  (! [A] : m1_subset_1(k9_bspace(A), k1_zfmisc_1(u1_struct_0(k7_bspace(A))))) ).
fof(redefinition_k9_bspace, axiom,  (! [A] : k9_bspace(A)=k8_bspace(A)) ).
fof(dt_k10_bspace, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  (m1_vectsp_6(C, A, B) & m1_subset_1(D, u1_struct_0(B))) ) )  => m1_subset_1(k10_bspace(A, B, C, D), u1_struct_0(A))) ) ).
fof(redefinition_k10_bspace, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  (m1_vectsp_6(C, A, B) & m1_subset_1(D, u1_struct_0(B))) ) )  => k10_bspace(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(dt_k11_bspace, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_finseq_1(B, u1_struct_0(k7_bspace(A))) & m1_subset_1(C, A)) )  => m2_finseq_1(k11_bspace(A, B, C), u1_struct_0(k2_bspace))) ) ).
fof(d8_bspace, axiom,  (! [A] : k8_bspace(A)=a_1_0_bspace(A)) ).
fof(fraenkel_a_1_0_bspace, axiom,  (! [A, B] :  (r2_hidden(A, a_1_0_bspace(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) &  (A=C & v3_card_1(C, 1)) ) ) ) ) ).
fof(t1_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (r1_setfam_1(C, D) => r1_tarski(k15_bvfunc_1(A, B, C), k15_bvfunc_1(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t2_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) => r1_tarski(k15_bvfunc_1(A, B, C), k15_bvfunc_1(A, B, k3_partit1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t3_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) => r1_tarski(k15_bvfunc_1(A, B, k2_partit1(A, C, D)), k15_bvfunc_1(A, B, C))) ) ) ) ) ) ) ) ).
fof(t4_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (r1_tarski(k15_bvfunc_1(A, B, C), k15_bvfunc_1(A, B, k7_partit1(A))) & r1_tarski(k15_bvfunc_1(A, B, k6_partit1(A)), k15_bvfunc_1(A, B, C))) ) ) ) ) ) ) ).
fof(t5_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  ( (v2_bvfunc_2(B, A) & B=k2_tarski(C, D))  =>  (C=D |  (! [E] :  (! [F] :  ~ ( (r2_tarski(E, C) &  (r2_tarski(F, D) & r1_xboole_0(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  ( (v2_bvfunc_2(B, A) & B=k2_tarski(C, D))  =>  (C=D | k2_bvfunc_2(A, B)=k2_partit1(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t7_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (B=k2_tarski(C, D) =>  (C=D | k5_bvfunc_2(A, C, B)=D) ) ) ) ) ) ) ) ) ) ).
fof(t8_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (r1_bvfunc_1(A, B, C) => r1_bvfunc_1(A, k6_bvfunc_2(A, B, D, E), k7_bvfunc_2(A, C, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, k6_bvfunc_2(A, B, C, D), C, E), k7_bvfunc_2(A, k6_bvfunc_2(A, B, C, E), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, k6_bvfunc_2(A, B, C, D), C, E), k7_bvfunc_2(A, k7_bvfunc_2(A, B, C, E), C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t11_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, k6_bvfunc_2(A, B, C, D), C, E), k6_bvfunc_2(A, k7_bvfunc_2(A, B, C, E), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, k7_bvfunc_2(A, B, C, D), C, E), k7_bvfunc_2(A, k7_bvfunc_2(A, B, C, E), C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t13_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k1_bvfunc_1(A, k7_bvfunc_2(A, k6_bvfunc_2(A, B, C, D), C, E)), k7_bvfunc_2(A, k7_bvfunc_2(A, k1_bvfunc_1(A, B), C, E), C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t14_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r1_bvfunc_1(A, k7_bvfunc_2(A, k1_bvfunc_1(A, k6_bvfunc_2(A, B, C, D)), C, E), k7_bvfunc_2(A, k7_bvfunc_2(A, k1_bvfunc_1(A, B), C, E), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r2_funct_2(A, k5_margrel1, k1_bvfunc_1(A, k6_bvfunc_2(A, k6_bvfunc_2(A, B, C, D), C, E)), k7_bvfunc_2(A, k1_bvfunc_1(A, k6_bvfunc_2(A, B, C, E)), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, k1_bvfunc_1(A, k6_bvfunc_2(A, B, C, D)), C, E), k7_bvfunc_2(A, k7_bvfunc_2(A, k1_bvfunc_1(A, B), C, E), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r2_funct_2(A, k5_margrel1, k1_bvfunc_1(A, k6_bvfunc_2(A, k6_bvfunc_2(A, B, C, D), C, E)), k7_bvfunc_2(A, k7_bvfunc_2(A, k1_bvfunc_1(A, B), C, E), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r1_bvfunc_1(A, k1_bvfunc_1(A, k6_bvfunc_2(A, k6_bvfunc_2(A, B, C, D), C, E)), k7_bvfunc_2(A, k7_bvfunc_2(A, k1_bvfunc_1(A, B), C, D), C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) => r2_funct_2(A, k5_margrel1, k1_bvfunc_1(A, k6_bvfunc_2(A, k7_bvfunc_2(A, B, C, D), C, E)), k7_bvfunc_2(A, k6_bvfunc_2(A, k1_bvfunc_1(A, B), C, D), C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t20_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) => r2_funct_2(A, k5_margrel1, k1_bvfunc_1(A, k7_bvfunc_2(A, k6_bvfunc_2(A, B, C, D), C, E)), k6_bvfunc_2(A, k7_bvfunc_2(A, k1_bvfunc_1(A, B), C, D), C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t21_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) => r2_funct_2(A, k5_margrel1, k1_bvfunc_1(A, k6_bvfunc_2(A, k6_bvfunc_2(A, B, C, D), C, E)), k7_bvfunc_2(A, k7_bvfunc_2(A, k1_bvfunc_1(A, B), C, D), C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t22_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r1_bvfunc_1(A, k7_bvfunc_2(A, k6_bvfunc_2(A, B, C, D), C, E), k7_bvfunc_2(A, k7_bvfunc_2(A, B, C, E), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, k6_bvfunc_2(A, B, C, D), C, E), k6_bvfunc_2(A, k7_bvfunc_2(A, B, C, D), C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t24_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, k6_bvfunc_2(A, B, C, D), C, E), k7_bvfunc_2(A, k7_bvfunc_2(A, B, C, D), C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t25_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k7_bvfunc_2(A, k6_bvfunc_2(A, B, C, D), C, E), k7_bvfunc_2(A, k7_bvfunc_2(A, B, C, D), C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t26_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, k1_bvfunc_1(A, k6_bvfunc_2(A, B, C, D)), C, E), k1_bvfunc_1(A, k6_bvfunc_2(A, k6_bvfunc_2(A, B, C, E), C, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, k6_bvfunc_2(A, k1_bvfunc_1(A, B), C, D), C, E), k1_bvfunc_1(A, k6_bvfunc_2(A, k6_bvfunc_2(A, B, C, E), C, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t28_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, k1_bvfunc_1(A, k7_bvfunc_2(A, B, C, D)), C, E), k1_bvfunc_1(A, k6_bvfunc_2(A, k6_bvfunc_2(A, B, C, E), C, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t29_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, k7_bvfunc_2(A, k1_bvfunc_1(A, B), C, D), C, E), k1_bvfunc_1(A, k6_bvfunc_2(A, k6_bvfunc_2(A, B, C, E), C, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r1_bvfunc_1(A, k7_bvfunc_2(A, k6_bvfunc_2(A, k1_bvfunc_1(A, B), C, D), C, E), k1_bvfunc_1(A, k6_bvfunc_2(A, k6_bvfunc_2(A, B, C, E), C, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r1_bvfunc_1(A, k7_bvfunc_2(A, k1_bvfunc_1(A, k7_bvfunc_2(A, B, C, D)), C, E), k1_bvfunc_1(A, k6_bvfunc_2(A, k6_bvfunc_2(A, B, C, E), C, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r1_bvfunc_1(A, k1_bvfunc_1(A, k6_bvfunc_2(A, k7_bvfunc_2(A, B, C, D), C, E)), k1_bvfunc_1(A, k7_bvfunc_2(A, k6_bvfunc_2(A, B, C, E), C, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r1_bvfunc_1(A, k1_bvfunc_1(A, k7_bvfunc_2(A, k7_bvfunc_2(A, B, C, D), C, E)), k1_bvfunc_1(A, k7_bvfunc_2(A, k6_bvfunc_2(A, B, C, E), C, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k1_bvfunc_1(A, k7_bvfunc_2(A, k7_bvfunc_2(A, B, C, D), C, E)), k1_bvfunc_1(A, k6_bvfunc_2(A, k7_bvfunc_2(A, B, C, E), C, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t35_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r1_bvfunc_1(A, k1_bvfunc_1(A, k7_bvfunc_2(A, k6_bvfunc_2(A, B, C, D), C, E)), k1_bvfunc_1(A, k6_bvfunc_2(A, k6_bvfunc_2(A, B, C, E), C, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r1_bvfunc_1(A, k1_bvfunc_1(A, k6_bvfunc_2(A, k7_bvfunc_2(A, B, C, D), C, E)), k1_bvfunc_1(A, k6_bvfunc_2(A, k6_bvfunc_2(A, B, C, E), C, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k1_bvfunc_1(A, k7_bvfunc_2(A, k7_bvfunc_2(A, B, C, D), C, E)), k1_bvfunc_1(A, k6_bvfunc_2(A, k6_bvfunc_2(A, B, C, E), C, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t38_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r1_bvfunc_1(A, k1_bvfunc_1(A, k7_bvfunc_2(A, k6_bvfunc_2(A, B, C, D), C, E)), k7_bvfunc_2(A, k1_bvfunc_1(A, k6_bvfunc_2(A, B, C, E)), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r1_bvfunc_1(A, k1_bvfunc_1(A, k6_bvfunc_2(A, k7_bvfunc_2(A, B, C, D), C, E)), k7_bvfunc_2(A, k1_bvfunc_1(A, k6_bvfunc_2(A, B, C, E)), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k1_bvfunc_1(A, k7_bvfunc_2(A, k7_bvfunc_2(A, B, C, D), C, E)), k7_bvfunc_2(A, k1_bvfunc_1(A, k6_bvfunc_2(A, B, C, E)), C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t41_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r1_bvfunc_1(A, k1_bvfunc_1(A, k6_bvfunc_2(A, k7_bvfunc_2(A, B, C, D), C, E)), k6_bvfunc_2(A, k1_bvfunc_1(A, k6_bvfunc_2(A, B, C, E)), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r1_bvfunc_1(A, k1_bvfunc_1(A, k7_bvfunc_2(A, k7_bvfunc_2(A, B, C, D), C, E)), k6_bvfunc_2(A, k1_bvfunc_1(A, k6_bvfunc_2(A, B, C, E)), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k1_bvfunc_1(A, k7_bvfunc_2(A, k7_bvfunc_2(A, B, C, D), C, E)), k7_bvfunc_2(A, k1_bvfunc_1(A, k7_bvfunc_2(A, B, C, E)), C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t44_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r2_funct_2(A, k5_margrel1, k1_bvfunc_1(A, k7_bvfunc_2(A, k7_bvfunc_2(A, B, C, D), C, E)), k6_bvfunc_2(A, k1_bvfunc_1(A, k7_bvfunc_2(A, B, C, E)), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r1_bvfunc_1(A, k1_bvfunc_1(A, k6_bvfunc_2(A, k7_bvfunc_2(A, B, C, D), C, E)), k7_bvfunc_2(A, k7_bvfunc_2(A, k1_bvfunc_1(A, B), C, E), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k1_bvfunc_1(A, k7_bvfunc_2(A, k7_bvfunc_2(A, B, C, D), C, E)), k7_bvfunc_2(A, k7_bvfunc_2(A, k1_bvfunc_1(A, B), C, E), C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t47_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r1_bvfunc_1(A, k1_bvfunc_1(A, k6_bvfunc_2(A, k7_bvfunc_2(A, B, C, D), C, E)), k6_bvfunc_2(A, k7_bvfunc_2(A, k1_bvfunc_1(A, B), C, E), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r1_bvfunc_1(A, k1_bvfunc_1(A, k7_bvfunc_2(A, k7_bvfunc_2(A, B, C, D), C, E)), k6_bvfunc_2(A, k7_bvfunc_2(A, k1_bvfunc_1(A, B), C, E), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k1_bvfunc_1(A, k7_bvfunc_2(A, k7_bvfunc_2(A, B, C, D), C, E)), k7_bvfunc_2(A, k6_bvfunc_2(A, k1_bvfunc_1(A, B), C, E), C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t50_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r2_funct_2(A, k5_margrel1, k1_bvfunc_1(A, k7_bvfunc_2(A, k7_bvfunc_2(A, B, C, D), C, E)), k6_bvfunc_2(A, k6_bvfunc_2(A, k1_bvfunc_1(A, B), C, E), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r1_bvfunc_1(A, k7_bvfunc_2(A, k1_bvfunc_1(A, k7_bvfunc_2(A, B, C, D)), C, E), k1_bvfunc_1(A, k7_bvfunc_2(A, k6_bvfunc_2(A, B, C, E), C, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, k1_bvfunc_1(A, k7_bvfunc_2(A, B, C, D)), C, E), k1_bvfunc_1(A, k7_bvfunc_2(A, k6_bvfunc_2(A, B, C, E), C, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t53_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, k1_bvfunc_1(A, k7_bvfunc_2(A, B, C, D)), C, E), k1_bvfunc_1(A, k6_bvfunc_2(A, k7_bvfunc_2(A, B, C, E), C, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t54_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r2_funct_2(A, k5_margrel1, k6_bvfunc_2(A, k1_bvfunc_1(A, k7_bvfunc_2(A, B, C, D)), C, E), k1_bvfunc_1(A, k7_bvfunc_2(A, k7_bvfunc_2(A, B, C, E), C, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r2_funct_2(A, k5_margrel1, k7_bvfunc_2(A, k1_bvfunc_1(A, k6_bvfunc_2(A, B, C, D)), C, E), k7_bvfunc_2(A, k1_bvfunc_1(A, k6_bvfunc_2(A, B, C, E)), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, k1_bvfunc_1(A, k6_bvfunc_2(A, B, C, D)), C, E), k7_bvfunc_2(A, k1_bvfunc_1(A, k6_bvfunc_2(A, B, C, E)), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r1_bvfunc_1(A, k7_bvfunc_2(A, k1_bvfunc_1(A, k7_bvfunc_2(A, B, C, D)), C, E), k7_bvfunc_2(A, k1_bvfunc_1(A, k6_bvfunc_2(A, B, C, E)), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, k1_bvfunc_1(A, k7_bvfunc_2(A, B, C, D)), C, E), k7_bvfunc_2(A, k1_bvfunc_1(A, k6_bvfunc_2(A, B, C, E)), C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t59_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r1_bvfunc_1(A, k7_bvfunc_2(A, k1_bvfunc_1(A, k7_bvfunc_2(A, B, C, D)), C, E), k6_bvfunc_2(A, k1_bvfunc_1(A, k6_bvfunc_2(A, B, C, E)), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, k1_bvfunc_1(A, k7_bvfunc_2(A, B, C, D)), C, E), k6_bvfunc_2(A, k1_bvfunc_1(A, k6_bvfunc_2(A, B, C, E)), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, k1_bvfunc_1(A, k7_bvfunc_2(A, B, C, D)), C, E), k7_bvfunc_2(A, k1_bvfunc_1(A, k7_bvfunc_2(A, B, C, E)), C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t62_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r2_funct_2(A, k5_margrel1, k6_bvfunc_2(A, k1_bvfunc_1(A, k7_bvfunc_2(A, B, C, D)), C, E), k6_bvfunc_2(A, k1_bvfunc_1(A, k7_bvfunc_2(A, B, C, E)), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r1_bvfunc_1(A, k7_bvfunc_2(A, k1_bvfunc_1(A, k7_bvfunc_2(A, B, C, D)), C, E), k7_bvfunc_2(A, k7_bvfunc_2(A, k1_bvfunc_1(A, B), C, E), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, k1_bvfunc_1(A, k7_bvfunc_2(A, B, C, D)), C, E), k7_bvfunc_2(A, k7_bvfunc_2(A, k1_bvfunc_1(A, B), C, E), C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t65_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r1_bvfunc_1(A, k7_bvfunc_2(A, k1_bvfunc_1(A, k7_bvfunc_2(A, B, C, D)), C, E), k6_bvfunc_2(A, k7_bvfunc_2(A, k1_bvfunc_1(A, B), C, E), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, k1_bvfunc_1(A, k7_bvfunc_2(A, B, C, D)), C, E), k6_bvfunc_2(A, k7_bvfunc_2(A, k1_bvfunc_1(A, B), C, E), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, k1_bvfunc_1(A, k7_bvfunc_2(A, B, C, D)), C, E), k7_bvfunc_2(A, k6_bvfunc_2(A, k1_bvfunc_1(A, B), C, E), C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t68_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r2_funct_2(A, k5_margrel1, k6_bvfunc_2(A, k1_bvfunc_1(A, k7_bvfunc_2(A, B, C, D)), C, E), k6_bvfunc_2(A, k6_bvfunc_2(A, k1_bvfunc_1(A, B), C, E), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t69_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r1_bvfunc_1(A, k7_bvfunc_2(A, k6_bvfunc_2(A, k1_bvfunc_1(A, B), C, D), C, E), k1_bvfunc_1(A, k7_bvfunc_2(A, k6_bvfunc_2(A, B, C, E), C, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, k6_bvfunc_2(A, k1_bvfunc_1(A, B), C, D), C, E), k1_bvfunc_1(A, k7_bvfunc_2(A, k6_bvfunc_2(A, B, C, E), C, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, k6_bvfunc_2(A, k1_bvfunc_1(A, B), C, D), C, E), k1_bvfunc_1(A, k6_bvfunc_2(A, k7_bvfunc_2(A, B, C, E), C, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t72_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, k6_bvfunc_2(A, k1_bvfunc_1(A, B), C, D), C, E), k1_bvfunc_1(A, k7_bvfunc_2(A, k7_bvfunc_2(A, B, C, E), C, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t73_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r1_bvfunc_1(A, k7_bvfunc_2(A, k7_bvfunc_2(A, k1_bvfunc_1(A, B), C, D), C, E), k7_bvfunc_2(A, k1_bvfunc_1(A, k6_bvfunc_2(A, B, C, E)), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t74_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, k7_bvfunc_2(A, k1_bvfunc_1(A, B), C, D), C, E), k7_bvfunc_2(A, k1_bvfunc_1(A, k6_bvfunc_2(A, B, C, E)), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r1_bvfunc_1(A, k7_bvfunc_2(A, k6_bvfunc_2(A, k1_bvfunc_1(A, B), C, D), C, E), k7_bvfunc_2(A, k1_bvfunc_1(A, k6_bvfunc_2(A, B, C, E)), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t76_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, k6_bvfunc_2(A, k1_bvfunc_1(A, B), C, D), C, E), k7_bvfunc_2(A, k1_bvfunc_1(A, k6_bvfunc_2(A, B, C, E)), C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t77_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r1_bvfunc_1(A, k7_bvfunc_2(A, k6_bvfunc_2(A, k1_bvfunc_1(A, B), C, D), C, E), k6_bvfunc_2(A, k1_bvfunc_1(A, k6_bvfunc_2(A, B, C, E)), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t78_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, k6_bvfunc_2(A, k1_bvfunc_1(A, B), C, D), C, E), k6_bvfunc_2(A, k1_bvfunc_1(A, k6_bvfunc_2(A, B, C, E)), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t79_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, k6_bvfunc_2(A, k1_bvfunc_1(A, B), C, D), C, E), k7_bvfunc_2(A, k1_bvfunc_1(A, k7_bvfunc_2(A, B, C, E)), C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t80_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r2_funct_2(A, k5_margrel1, k6_bvfunc_2(A, k6_bvfunc_2(A, k1_bvfunc_1(A, B), C, D), C, E), k6_bvfunc_2(A, k1_bvfunc_1(A, k7_bvfunc_2(A, B, C, E)), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t81_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, k7_bvfunc_2(A, k1_bvfunc_1(A, B), C, D), C, E), k7_bvfunc_2(A, k7_bvfunc_2(A, k1_bvfunc_1(A, B), C, E), C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t82_bvfunc11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r1_bvfunc_1(A, k7_bvfunc_2(A, k6_bvfunc_2(A, k1_bvfunc_1(A, B), C, D), C, E), k7_bvfunc_2(A, k7_bvfunc_2(A, k1_bvfunc_1(A, B), C, E), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) => k15_bvfunc_1(A, B, k2_partit1(A, C, D))=k9_subset_1(A, k15_bvfunc_1(A, B, C), k15_bvfunc_1(A, B, D))) ) ) ) ) ) ) ) ).
fof(t2_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (B=k2_tarski(C, D) =>  (C=D | k2_bvfunc_2(A, B)=k2_partit1(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t3_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (B=k1_enumset1(C, D, E) =>  (C=D |  (D=E |  (E=C | k2_bvfunc_2(A, B)=k2_partit1(A, k2_partit1(A, C, D), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (B=k1_enumset1(C, D, E) =>  (C=D |  (E=C | k5_bvfunc_2(A, C, B)=k2_partit1(A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (B=k1_enumset1(C, D, E) =>  (C=D |  (D=E | k5_bvfunc_2(A, D, B)=k2_partit1(A, E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (B=k1_enumset1(C, D, E) =>  (D=E |  (E=C | k5_bvfunc_2(A, E, B)=k2_partit1(A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (B=k2_enumset1(C, D, E, F) =>  (C=D |  (C=E |  (C=F | k5_bvfunc_2(A, C, B)=k2_partit1(A, k2_partit1(A, D, E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (B=k2_enumset1(C, D, E, F) =>  (C=D |  (D=E |  (D=F | k5_bvfunc_2(A, D, B)=k2_partit1(A, k2_partit1(A, C, E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (B=k2_enumset1(C, D, E, F) =>  (C=E |  (D=E |  (E=F | k5_bvfunc_2(A, E, B)=k2_partit1(A, k2_partit1(A, C, D), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (B=k2_enumset1(C, D, E, F) =>  (C=F |  (D=F |  (E=F | k5_bvfunc_2(A, F, B)=k2_partit1(A, k2_partit1(A, C, E), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_bvfunc14, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] : k9_xtuple_0(k11_funct_4(A, B, C, D, E, F))=k1_enumset1(A, B, C)) ) ) ) ) ) ).
fof(t12_bvfunc14, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( ~ (B=C)  => k1_funct_1(k1_funct_4(k1_funct_4(A, k17_funcop_1(B, D)), k17_funcop_1(C, E)), B)=D) ) ) ) ) ) ) ).
fof(t13_bvfunc14, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ~ ( ( ~ (A=B)  &  ( ~ (C=A)  &  ~ (k1_funct_1(k11_funct_4(A, B, C, D, E, F), A)=D) ) ) ) ) ) ) ) ) ) ).
fof(t14_bvfunc14, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  ( (v1_relat_1(G) & v1_funct_1(G))  =>  (G=k11_funct_4(A, B, C, D, E, F) => k10_xtuple_0(G)=k1_enumset1(k1_funct_1(G, A), k1_funct_1(G, B), k1_funct_1(G, C))) ) ) ) ) ) ) ) ) ).
fof(t15_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  (! [G] :  (! [H] :  (! [I] :  (! [J] :  (F=k1_funct_4(k1_funct_4(k1_funct_4(k17_funcop_1(C, H), k17_funcop_1(D, I)), k17_funcop_1(E, J)), k17_funcop_1(B, G)) =>  (B=C |  (B=D |  (B=E |  (C=D |  (C=E |  (D=E |  (k1_funct_1(F, C)=H &  (k1_funct_1(F, D)=I & k1_funct_1(F, E)=J) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_bvfunc14, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (! [F] :  (! [G] :  (! [H] :  (! [I] :  (E=k1_funct_4(k1_funct_4(k1_funct_4(k17_funcop_1(B, G), k17_funcop_1(C, H)), k17_funcop_1(D, I)), k17_funcop_1(A, F)) => k9_xtuple_0(E)=k2_enumset1(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  ( (v1_relat_1(G) & v1_funct_1(G))  =>  (! [H] :  (! [I] :  (! [J] :  (! [K] :  ( (B=k2_enumset1(C, D, E, F) & G=k1_funct_4(k1_funct_4(k1_funct_4(k17_funcop_1(D, I), k17_funcop_1(E, J)), k17_funcop_1(F, K)), k17_funcop_1(C, H)))  => k10_xtuple_0(G)=k2_enumset1(k1_funct_1(G, C), k1_funct_1(G, D), k1_funct_1(G, E), k1_funct_1(G, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) =>  (! [H] :  (m1_subset_1(H, A) =>  (! [I] :  ( (v1_relat_1(I) & v1_funct_1(I))  =>  ~ ( (v2_bvfunc_2(B, A) &  (B=k2_enumset1(C, D, E, F) &  ( ~ (C=D)  &  ( ~ (C=E)  &  ( ~ (C=F)  &  ( ~ (D=E)  &  ( ~ (D=F)  &  ( ~ (E=F)  & r1_xboole_0(k15_bvfunc_1(A, H, k2_partit1(A, k2_partit1(A, D, E), F)), k15_bvfunc_1(A, G, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) =>  (! [H] :  (m1_subset_1(H, A) =>  ~ ( (v2_bvfunc_2(B, A) &  (B=k2_enumset1(C, D, E, F) &  ( ~ (C=D)  &  ( ~ (C=E)  &  ( ~ (C=F)  &  ( ~ (D=E)  &  ( ~ (D=F)  &  ( ~ (E=F)  &  (k15_bvfunc_1(A, G, k2_partit1(A, E, F))=k15_bvfunc_1(A, H, k2_partit1(A, E, F)) & r1_xboole_0(k15_bvfunc_1(A, H, k5_bvfunc_2(A, C, B)), k15_bvfunc_1(A, G, k5_bvfunc_2(A, D, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) =>  ~ ( (v2_bvfunc_2(B, A) &  (B=k1_enumset1(C, D, E) &  ( ~ (C=D)  &  ( ~ (D=E)  &  ( ~ (E=C)  &  (k15_bvfunc_1(A, F, E)=k15_bvfunc_1(A, G, E) & r1_xboole_0(k15_bvfunc_1(A, G, k5_bvfunc_2(A, C, B)), k15_bvfunc_1(A, F, k5_bvfunc_2(A, D, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (B=k3_enumset1(C, D, E, F, G) =>  (C=D |  (C=E |  (C=F |  (C=G | k5_bvfunc_2(A, C, B)=k2_partit1(A, k2_partit1(A, k2_partit1(A, D, E), F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (B=k3_enumset1(C, D, E, F, G) =>  (C=D |  (D=E |  (D=F |  (D=G | k5_bvfunc_2(A, D, B)=k2_partit1(A, k2_partit1(A, k2_partit1(A, C, E), F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (B=k3_enumset1(C, D, E, F, G) =>  (C=E |  (D=E |  (E=F |  (E=G | k5_bvfunc_2(A, E, B)=k2_partit1(A, k2_partit1(A, k2_partit1(A, C, D), F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (B=k3_enumset1(C, D, E, F, G) =>  (C=F |  (D=F |  (E=F |  (F=G | k5_bvfunc_2(A, F, B)=k2_partit1(A, k2_partit1(A, k2_partit1(A, C, D), E), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (B=k3_enumset1(C, D, E, F, G) =>  (C=G |  (D=G |  (E=G |  (F=G | k5_bvfunc_2(A, G, B)=k2_partit1(A, k2_partit1(A, k2_partit1(A, C, D), E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_bvfunc14, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  (! [G] :  (! [H] :  (! [I] :  (! [J] :  (! [K] :  (F=k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k17_funcop_1(B, H), k17_funcop_1(C, I)), k17_funcop_1(D, J)), k17_funcop_1(E, K)), k17_funcop_1(A, G)) =>  (A=B |  (A=C |  (A=D |  (A=E |  (B=C |  (B=D |  (B=E |  (C=D |  (C=E |  (D=E |  (k1_funct_1(F, A)=G &  (k1_funct_1(F, B)=H &  (k1_funct_1(F, C)=I &  (k1_funct_1(F, D)=J & k1_funct_1(F, E)=K) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_bvfunc14, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  (! [G] :  (! [H] :  (! [I] :  (! [J] :  (! [K] :  (F=k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k17_funcop_1(B, H), k17_funcop_1(C, I)), k17_funcop_1(D, J)), k17_funcop_1(E, K)), k17_funcop_1(A, G)) => k9_xtuple_0(F)=k3_enumset1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_bvfunc14, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  (! [G] :  (! [H] :  (! [I] :  (! [J] :  (! [K] :  (F=k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k17_funcop_1(B, H), k17_funcop_1(C, I)), k17_funcop_1(D, J)), k17_funcop_1(E, K)), k17_funcop_1(A, G)) => k10_xtuple_0(F)=k3_enumset1(k1_funct_1(F, A), k1_funct_1(F, B), k1_funct_1(F, C), k1_funct_1(F, D), k1_funct_1(F, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_subset_1(H, A) =>  (! [I] :  (m1_subset_1(I, A) =>  (! [J] :  ( (v1_relat_1(J) & v1_funct_1(J))  =>  ~ ( (v2_bvfunc_2(B, A) &  (B=k3_enumset1(C, D, E, F, G) &  ( ~ (C=D)  &  ( ~ (C=E)  &  ( ~ (C=F)  &  ( ~ (C=G)  &  ( ~ (D=E)  &  ( ~ (D=F)  &  ( ~ (D=G)  &  ( ~ (E=F)  &  ( ~ (E=G)  &  ( ~ (F=G)  & r1_xboole_0(k15_bvfunc_1(A, I, k2_partit1(A, k2_partit1(A, k2_partit1(A, D, E), F), G)), k15_bvfunc_1(A, H, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_subset_1(H, A) =>  (! [I] :  (m1_subset_1(I, A) =>  ~ ( (v2_bvfunc_2(B, A) &  (B=k3_enumset1(C, D, E, F, G) &  ( ~ (C=D)  &  ( ~ (C=E)  &  ( ~ (C=F)  &  ( ~ (C=G)  &  ( ~ (D=E)  &  ( ~ (D=F)  &  ( ~ (D=G)  &  ( ~ (E=F)  &  ( ~ (E=G)  &  ( ~ (F=G)  &  (k15_bvfunc_1(A, H, k2_partit1(A, k2_partit1(A, E, F), G))=k15_bvfunc_1(A, I, k2_partit1(A, k2_partit1(A, E, F), G)) & r1_xboole_0(k15_bvfunc_1(A, I, k5_bvfunc_2(A, C, B)), k15_bvfunc_1(A, H, k5_bvfunc_2(A, D, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_eqrel_1(H, A) =>  (B=k4_enumset1(C, D, E, F, G, H) =>  (C=D |  (C=E |  (C=F |  (C=G |  (C=H |  (D=E |  (D=F |  (D=G |  (D=H |  (E=F |  (E=G |  (E=H |  (F=G |  (F=H |  (G=H | k5_bvfunc_2(A, C, B)=k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, D, E), F), G), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_eqrel_1(H, A) =>  (B=k4_enumset1(C, D, E, F, G, H) =>  (C=D |  (C=E |  (C=F |  (C=G |  (C=H |  (D=E |  (D=F |  (D=G |  (D=H |  (E=F |  (E=G |  (E=H |  (F=G |  (F=H |  (G=H | k5_bvfunc_2(A, D, B)=k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, C, E), F), G), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_eqrel_1(H, A) =>  (B=k4_enumset1(C, D, E, F, G, H) =>  (C=D |  (C=E |  (C=F |  (C=G |  (C=H |  (D=E |  (D=F |  (D=G |  (D=H |  (E=F |  (E=G |  (E=H |  (F=G |  (F=H |  (G=H | k5_bvfunc_2(A, E, B)=k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, C, D), F), G), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_eqrel_1(H, A) =>  (B=k4_enumset1(C, D, E, F, G, H) =>  (C=D |  (C=E |  (C=F |  (C=G |  (C=H |  (D=E |  (D=F |  (D=G |  (D=H |  (E=F |  (E=G |  (E=H |  (F=G |  (F=H |  (G=H | k5_bvfunc_2(A, F, B)=k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, C, D), E), G), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_eqrel_1(H, A) =>  (B=k4_enumset1(C, D, E, F, G, H) =>  (C=D |  (C=E |  (C=F |  (C=G |  (C=H |  (D=E |  (D=F |  (D=G |  (D=H |  (E=F |  (E=G |  (E=H |  (F=G |  (F=H |  (G=H | k5_bvfunc_2(A, G, B)=k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, C, D), E), F), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_eqrel_1(H, A) =>  (B=k4_enumset1(C, D, E, F, G, H) =>  (C=D |  (C=E |  (C=F |  (C=G |  (C=H |  (D=E |  (D=F |  (D=G |  (D=H |  (E=F |  (E=G |  (E=H |  (F=G |  (F=H |  (G=H | k5_bvfunc_2(A, H, B)=k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, C, D), E), F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_bvfunc14, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  ( (v1_relat_1(G) & v1_funct_1(G))  =>  (! [H] :  (! [I] :  (! [J] :  (! [K] :  (! [L] :  (! [M] :  (G=k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k17_funcop_1(B, I), k17_funcop_1(C, J)), k17_funcop_1(D, K)), k17_funcop_1(E, L)), k17_funcop_1(F, M)), k17_funcop_1(A, H)) =>  (A=B |  (A=C |  (A=D |  (A=E |  (A=F |  (B=C |  (B=D |  (B=E |  (B=F |  (C=D |  (C=E |  (C=F |  (D=E |  (D=F |  (E=F |  (k1_funct_1(G, A)=H &  (k1_funct_1(G, B)=I &  (k1_funct_1(G, C)=J &  (k1_funct_1(G, D)=K &  (k1_funct_1(G, E)=L & k1_funct_1(G, F)=M) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_bvfunc14, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  ( (v1_relat_1(G) & v1_funct_1(G))  =>  (! [H] :  (! [I] :  (! [J] :  (! [K] :  (! [L] :  (! [M] :  (G=k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k17_funcop_1(B, I), k17_funcop_1(C, J)), k17_funcop_1(D, K)), k17_funcop_1(E, L)), k17_funcop_1(F, M)), k17_funcop_1(A, H)) => k9_xtuple_0(G)=k4_enumset1(A, B, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_bvfunc14, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  ( (v1_relat_1(G) & v1_funct_1(G))  =>  (! [H] :  (! [I] :  (! [J] :  (! [K] :  (! [L] :  (! [M] :  (G=k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k17_funcop_1(B, I), k17_funcop_1(C, J)), k17_funcop_1(D, K)), k17_funcop_1(E, L)), k17_funcop_1(F, M)), k17_funcop_1(A, H)) => k10_xtuple_0(G)=k4_enumset1(k1_funct_1(G, A), k1_funct_1(G, B), k1_funct_1(G, C), k1_funct_1(G, D), k1_funct_1(G, E), k1_funct_1(G, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_eqrel_1(H, A) =>  (! [I] :  (m1_subset_1(I, A) =>  (! [J] :  (m1_subset_1(J, A) =>  (! [K] :  ( (v1_relat_1(K) & v1_funct_1(K))  =>  ~ ( (v2_bvfunc_2(B, A) &  (B=k4_enumset1(C, D, E, F, G, H) &  ( ~ (C=D)  &  ( ~ (C=E)  &  ( ~ (C=F)  &  ( ~ (C=G)  &  ( ~ (C=H)  &  ( ~ (D=E)  &  ( ~ (D=F)  &  ( ~ (D=G)  &  ( ~ (D=H)  &  ( ~ (E=F)  &  ( ~ (E=G)  &  ( ~ (E=H)  &  ( ~ (F=G)  &  ( ~ (F=H)  &  ( ~ (G=H)  & r1_xboole_0(k15_bvfunc_1(A, J, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, D, E), F), G), H)), k15_bvfunc_1(A, I, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_eqrel_1(H, A) =>  (! [I] :  (m1_subset_1(I, A) =>  (! [J] :  (m1_subset_1(J, A) =>  (! [K] :  ( (v1_relat_1(K) & v1_funct_1(K))  =>  ~ ( (v2_bvfunc_2(B, A) &  (B=k4_enumset1(C, D, E, F, G, H) &  ( ~ (C=D)  &  ( ~ (C=E)  &  ( ~ (C=F)  &  ( ~ (C=G)  &  ( ~ (C=H)  &  ( ~ (D=E)  &  ( ~ (D=F)  &  ( ~ (D=G)  &  ( ~ (D=H)  &  ( ~ (E=F)  &  ( ~ (E=G)  &  ( ~ (E=H)  &  ( ~ (F=G)  &  ( ~ (F=H)  &  ( ~ (G=H)  &  (k15_bvfunc_1(A, I, k2_partit1(A, k2_partit1(A, k2_partit1(A, E, F), G), H))=k15_bvfunc_1(A, J, k2_partit1(A, k2_partit1(A, k2_partit1(A, E, F), G), H)) & r1_xboole_0(k15_bvfunc_1(A, J, k5_bvfunc_2(A, C, B)), k15_bvfunc_1(A, I, k5_bvfunc_2(A, D, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_eqrel_1(H, A) =>  (! [I] :  (m1_eqrel_1(I, A) =>  (B=k5_enumset1(C, D, E, F, G, H, I) =>  (C=D |  (C=E |  (C=F |  (C=G |  (C=H |  (C=I |  (D=E |  (D=F |  (D=G |  (D=H |  (D=I |  (E=F |  (E=G |  (E=H |  (E=I |  (F=G |  (F=H |  (F=I |  (G=H |  (G=I |  (H=I | k5_bvfunc_2(A, C, B)=k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, D, E), F), G), H), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_eqrel_1(H, A) =>  (! [I] :  (m1_eqrel_1(I, A) =>  (B=k5_enumset1(C, D, E, F, G, H, I) =>  (C=D |  (C=E |  (C=F |  (C=G |  (C=H |  (C=I |  (D=E |  (D=F |  (D=G |  (D=H |  (D=I |  (E=F |  (E=G |  (E=H |  (E=I |  (F=G |  (F=H |  (F=I |  (G=H |  (G=I |  (H=I | k5_bvfunc_2(A, D, B)=k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, C, E), F), G), H), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_eqrel_1(H, A) =>  (! [I] :  (m1_eqrel_1(I, A) =>  (B=k5_enumset1(C, D, E, F, G, H, I) =>  (C=D |  (C=E |  (C=F |  (C=G |  (C=H |  (C=I |  (D=E |  (D=F |  (D=G |  (D=H |  (D=I |  (E=F |  (E=G |  (E=H |  (E=I |  (F=G |  (F=H |  (F=I |  (G=H |  (G=I |  (H=I | k5_bvfunc_2(A, E, B)=k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, C, D), F), G), H), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_eqrel_1(H, A) =>  (! [I] :  (m1_eqrel_1(I, A) =>  (B=k5_enumset1(C, D, E, F, G, H, I) =>  (C=D |  (C=E |  (C=F |  (C=G |  (C=H |  (C=I |  (D=E |  (D=F |  (D=G |  (D=H |  (D=I |  (E=F |  (E=G |  (E=H |  (E=I |  (F=G |  (F=H |  (F=I |  (G=H |  (G=I |  (H=I | k5_bvfunc_2(A, F, B)=k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, C, D), E), G), H), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_eqrel_1(H, A) =>  (! [I] :  (m1_eqrel_1(I, A) =>  (B=k5_enumset1(C, D, E, F, G, H, I) =>  (C=D |  (C=E |  (C=F |  (C=G |  (C=H |  (C=I |  (D=E |  (D=F |  (D=G |  (D=H |  (D=I |  (E=F |  (E=G |  (E=H |  (E=I |  (F=G |  (F=H |  (F=I |  (G=H |  (G=I |  (H=I | k5_bvfunc_2(A, G, B)=k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, C, D), E), F), H), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_eqrel_1(H, A) =>  (! [I] :  (m1_eqrel_1(I, A) =>  (B=k5_enumset1(C, D, E, F, G, H, I) =>  (C=D |  (C=E |  (C=F |  (C=G |  (C=H |  (C=I |  (D=E |  (D=F |  (D=G |  (D=H |  (D=I |  (E=F |  (E=G |  (E=H |  (E=I |  (F=G |  (F=H |  (F=I |  (G=H |  (G=I |  (H=I | k5_bvfunc_2(A, H, B)=k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, C, D), E), F), G), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_eqrel_1(H, A) =>  (! [I] :  (m1_eqrel_1(I, A) =>  (B=k5_enumset1(C, D, E, F, G, H, I) =>  (C=D |  (C=E |  (C=F |  (C=G |  (C=H |  (C=I |  (D=E |  (D=F |  (D=G |  (D=H |  (D=I |  (E=F |  (E=G |  (E=H |  (E=I |  (F=G |  (F=H |  (F=I |  (G=H |  (G=I |  (H=I | k5_bvfunc_2(A, I, B)=k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, C, D), E), F), G), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_bvfunc14, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  ( (v1_relat_1(H) & v1_funct_1(H))  =>  (! [I] :  (! [J] :  (! [K] :  (! [L] :  (! [M] :  (! [N] :  (! [O] :  (H=k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k17_funcop_1(B, J), k17_funcop_1(C, K)), k17_funcop_1(D, L)), k17_funcop_1(E, M)), k17_funcop_1(F, N)), k17_funcop_1(G, O)), k17_funcop_1(A, I)) =>  (A=B |  (A=C |  (A=D |  (A=E |  (A=F |  (A=G |  (B=C |  (B=D |  (B=E |  (B=F |  (B=G |  (C=D |  (C=E |  (C=F |  (C=G |  (D=E |  (D=F |  (D=G |  (E=F |  (E=G |  (F=G |  (k1_funct_1(H, A)=I &  (k1_funct_1(H, B)=J &  (k1_funct_1(H, C)=K &  (k1_funct_1(H, D)=L &  (k1_funct_1(H, E)=M &  (k1_funct_1(H, F)=N & k1_funct_1(H, G)=O) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_bvfunc14, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  ( (v1_relat_1(H) & v1_funct_1(H))  =>  (! [I] :  (! [J] :  (! [K] :  (! [L] :  (! [M] :  (! [N] :  (! [O] :  (H=k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k17_funcop_1(B, J), k17_funcop_1(C, K)), k17_funcop_1(D, L)), k17_funcop_1(E, M)), k17_funcop_1(F, N)), k17_funcop_1(G, O)), k17_funcop_1(A, I)) => k9_xtuple_0(H)=k5_enumset1(A, B, C, D, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_bvfunc14, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  ( (v1_relat_1(H) & v1_funct_1(H))  =>  (! [I] :  (! [J] :  (! [K] :  (! [L] :  (! [M] :  (! [N] :  (! [O] :  (H=k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k17_funcop_1(B, J), k17_funcop_1(C, K)), k17_funcop_1(D, L)), k17_funcop_1(E, M)), k17_funcop_1(F, N)), k17_funcop_1(G, O)), k17_funcop_1(A, I)) => k10_xtuple_0(H)=k5_enumset1(k1_funct_1(H, A), k1_funct_1(H, B), k1_funct_1(H, C), k1_funct_1(H, D), k1_funct_1(H, E), k1_funct_1(H, F), k1_funct_1(H, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_eqrel_1(H, A) =>  (! [I] :  (m1_eqrel_1(I, A) =>  (! [J] :  (m1_subset_1(J, A) =>  (! [K] :  (m1_subset_1(K, A) =>  ~ ( (v2_bvfunc_2(B, A) &  (B=k5_enumset1(C, D, E, F, G, H, I) &  ( ~ (C=D)  &  ( ~ (C=E)  &  ( ~ (C=F)  &  ( ~ (C=G)  &  ( ~ (C=H)  &  ( ~ (C=I)  &  ( ~ (D=E)  &  ( ~ (D=F)  &  ( ~ (D=G)  &  ( ~ (D=H)  &  ( ~ (D=I)  &  ( ~ (E=F)  &  ( ~ (E=G)  &  ( ~ (E=H)  &  ( ~ (E=I)  &  ( ~ (F=G)  &  ( ~ (F=H)  &  ( ~ (F=I)  &  ( ~ (G=H)  &  ( ~ (G=I)  &  ( ~ (H=I)  & r1_xboole_0(k15_bvfunc_1(A, K, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, D, E), F), G), H), I)), k15_bvfunc_1(A, J, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_eqrel_1(H, A) =>  (! [I] :  (m1_eqrel_1(I, A) =>  (! [J] :  (m1_subset_1(J, A) =>  (! [K] :  (m1_subset_1(K, A) =>  ~ ( (v2_bvfunc_2(B, A) &  (B=k5_enumset1(C, D, E, F, G, H, I) &  ( ~ (C=D)  &  ( ~ (C=E)  &  ( ~ (C=F)  &  ( ~ (C=G)  &  ( ~ (C=H)  &  ( ~ (C=I)  &  ( ~ (D=E)  &  ( ~ (D=F)  &  ( ~ (D=G)  &  ( ~ (D=H)  &  ( ~ (D=I)  &  ( ~ (E=F)  &  ( ~ (E=G)  &  ( ~ (E=H)  &  ( ~ (E=I)  &  ( ~ (F=G)  &  ( ~ (F=H)  &  ( ~ (F=I)  &  ( ~ (G=H)  &  ( ~ (G=I)  &  ( ~ (H=I)  &  (k15_bvfunc_1(A, J, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, E, F), G), H), I))=k15_bvfunc_1(A, K, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, E, F), G), H), I)) & r1_xboole_0(k15_bvfunc_1(A, K, k5_bvfunc_2(A, C, B)), k15_bvfunc_1(A, J, k5_bvfunc_2(A, D, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_eqrel_1(H, A) =>  (! [I] :  (m1_eqrel_1(I, A) =>  (! [J] :  (m1_eqrel_1(J, A) =>  (B=k6_enumset1(C, D, E, F, G, H, I, J) =>  (C=D |  (C=E |  (C=F |  (C=G |  (C=H |  (C=I |  (C=J |  (D=E |  (D=F |  (D=G |  (D=H |  (D=I |  (D=J |  (E=F |  (E=G |  (E=H |  (E=I |  (E=J |  (F=G |  (F=H |  (F=I |  (F=J |  (G=H |  (G=I |  (G=J |  (H=I |  (H=J |  (I=J | k5_bvfunc_2(A, C, B)=k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, D, E), F), G), H), I), J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_eqrel_1(H, A) =>  (! [I] :  (m1_eqrel_1(I, A) =>  (! [J] :  (m1_eqrel_1(J, A) =>  (B=k6_enumset1(C, D, E, F, G, H, I, J) =>  (C=D |  (C=E |  (C=F |  (C=G |  (C=H |  (C=I |  (C=J |  (D=E |  (D=F |  (D=G |  (D=H |  (D=I |  (D=J |  (E=F |  (E=G |  (E=H |  (E=I |  (E=J |  (F=G |  (F=H |  (F=I |  (F=J |  (G=H |  (G=I |  (G=J |  (H=I |  (H=J |  (I=J | k5_bvfunc_2(A, D, B)=k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, C, E), F), G), H), I), J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_eqrel_1(H, A) =>  (! [I] :  (m1_eqrel_1(I, A) =>  (! [J] :  (m1_eqrel_1(J, A) =>  (B=k6_enumset1(C, D, E, F, G, H, I, J) =>  (C=D |  (C=E |  (C=F |  (C=G |  (C=H |  (C=I |  (C=J |  (D=E |  (D=F |  (D=G |  (D=H |  (D=I |  (D=J |  (E=F |  (E=G |  (E=H |  (E=I |  (E=J |  (F=G |  (F=H |  (F=I |  (F=J |  (G=H |  (G=I |  (G=J |  (H=I |  (H=J |  (I=J | k5_bvfunc_2(A, E, B)=k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, C, D), F), G), H), I), J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_eqrel_1(H, A) =>  (! [I] :  (m1_eqrel_1(I, A) =>  (! [J] :  (m1_eqrel_1(J, A) =>  (B=k6_enumset1(C, D, E, F, G, H, I, J) =>  (C=D |  (C=E |  (C=F |  (C=G |  (C=H |  (C=I |  (C=J |  (D=E |  (D=F |  (D=G |  (D=H |  (D=I |  (D=J |  (E=F |  (E=G |  (E=H |  (E=I |  (E=J |  (F=G |  (F=H |  (F=I |  (F=J |  (G=H |  (G=I |  (G=J |  (H=I |  (H=J |  (I=J | k5_bvfunc_2(A, F, B)=k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, C, D), E), G), H), I), J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_eqrel_1(H, A) =>  (! [I] :  (m1_eqrel_1(I, A) =>  (! [J] :  (m1_eqrel_1(J, A) =>  (B=k6_enumset1(C, D, E, F, G, H, I, J) =>  (C=D |  (C=E |  (C=F |  (C=G |  (C=H |  (C=I |  (C=J |  (D=E |  (D=F |  (D=G |  (D=H |  (D=I |  (D=J |  (E=F |  (E=G |  (E=H |  (E=I |  (E=J |  (F=G |  (F=H |  (F=I |  (F=J |  (G=H |  (G=I |  (G=J |  (H=I |  (H=J |  (I=J | k5_bvfunc_2(A, G, B)=k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, C, D), E), F), H), I), J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_eqrel_1(H, A) =>  (! [I] :  (m1_eqrel_1(I, A) =>  (! [J] :  (m1_eqrel_1(J, A) =>  (B=k6_enumset1(C, D, E, F, G, H, I, J) =>  (C=D |  (C=E |  (C=F |  (C=G |  (C=H |  (C=I |  (C=J |  (D=E |  (D=F |  (D=G |  (D=H |  (D=I |  (D=J |  (E=F |  (E=G |  (E=H |  (E=I |  (E=J |  (F=G |  (F=H |  (F=I |  (F=J |  (G=H |  (G=I |  (G=J |  (H=I |  (H=J |  (I=J | k5_bvfunc_2(A, H, B)=k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, C, D), E), F), G), I), J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_eqrel_1(H, A) =>  (! [I] :  (m1_eqrel_1(I, A) =>  (! [J] :  (m1_eqrel_1(J, A) =>  (B=k6_enumset1(C, D, E, F, G, H, I, J) =>  (C=D |  (C=E |  (C=F |  (C=G |  (C=H |  (C=I |  (C=J |  (D=E |  (D=F |  (D=G |  (D=H |  (D=I |  (D=J |  (E=F |  (E=G |  (E=H |  (E=I |  (E=J |  (F=G |  (F=H |  (F=I |  (F=J |  (G=H |  (G=I |  (G=J |  (H=I |  (H=J |  (I=J | k5_bvfunc_2(A, I, B)=k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, C, D), E), F), G), H), J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_eqrel_1(H, A) =>  (! [I] :  (m1_eqrel_1(I, A) =>  (! [J] :  (m1_eqrel_1(J, A) =>  (B=k6_enumset1(C, D, E, F, G, H, I, J) =>  (C=D |  (C=E |  (C=F |  (C=G |  (C=H |  (C=I |  (C=J |  (D=E |  (D=F |  (D=G |  (D=H |  (D=I |  (D=J |  (E=F |  (E=G |  (E=H |  (E=I |  (E=J |  (F=G |  (F=H |  (F=I |  (F=J |  (G=H |  (G=I |  (G=J |  (H=I |  (H=J |  (I=J | k5_bvfunc_2(A, J, B)=k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, C, D), E), F), G), H), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_bvfunc14, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  ( (v1_relat_1(I) & v1_funct_1(I))  =>  (! [J] :  (! [K] :  (! [L] :  (! [M] :  (! [N] :  (! [O] :  (! [P] :  (! [Q] :  (I=k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k17_funcop_1(B, K), k17_funcop_1(C, L)), k17_funcop_1(D, M)), k17_funcop_1(E, N)), k17_funcop_1(F, O)), k17_funcop_1(G, P)), k17_funcop_1(H, Q)), k17_funcop_1(A, J)) =>  (A=B |  (A=C |  (A=D |  (A=E |  (A=F |  (A=G |  (B=C |  (B=D |  (B=E |  (B=F |  (B=G |  (B=H |  (C=D |  (C=E |  (C=F |  (C=G |  (C=H |  (D=E |  (D=F |  (D=G |  (D=H |  (E=F |  (E=G |  (E=H |  (F=G |  (F=H |  (G=H |  (k1_funct_1(I, B)=K &  (k1_funct_1(I, C)=L &  (k1_funct_1(I, D)=M &  (k1_funct_1(I, E)=N &  (k1_funct_1(I, F)=O & k1_funct_1(I, G)=P) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_bvfunc14, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  ( (v1_relat_1(I) & v1_funct_1(I))  =>  (! [J] :  (! [K] :  (! [L] :  (! [M] :  (! [N] :  (! [O] :  (! [P] :  (! [Q] :  (I=k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k17_funcop_1(B, K), k17_funcop_1(C, L)), k17_funcop_1(D, M)), k17_funcop_1(E, N)), k17_funcop_1(F, O)), k17_funcop_1(G, P)), k17_funcop_1(H, Q)), k17_funcop_1(A, J)) => k9_xtuple_0(I)=k6_enumset1(A, B, C, D, E, F, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_bvfunc14, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  ( (v1_relat_1(I) & v1_funct_1(I))  =>  (! [J] :  (! [K] :  (! [L] :  (! [M] :  (! [N] :  (! [O] :  (! [P] :  (! [Q] :  (I=k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k17_funcop_1(B, K), k17_funcop_1(C, L)), k17_funcop_1(D, M)), k17_funcop_1(E, N)), k17_funcop_1(F, O)), k17_funcop_1(G, P)), k17_funcop_1(H, Q)), k17_funcop_1(A, J)) => k10_xtuple_0(I)=k6_enumset1(k1_funct_1(I, A), k1_funct_1(I, B), k1_funct_1(I, C), k1_funct_1(I, D), k1_funct_1(I, E), k1_funct_1(I, F), k1_funct_1(I, G), k1_funct_1(I, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_eqrel_1(H, A) =>  (! [I] :  (m1_eqrel_1(I, A) =>  (! [J] :  (m1_eqrel_1(J, A) =>  (! [K] :  (m1_subset_1(K, A) =>  (! [L] :  (m1_subset_1(L, A) =>  ~ ( (v2_bvfunc_2(B, A) &  (B=k6_enumset1(C, D, E, F, G, H, I, J) &  ( ~ (C=D)  &  ( ~ (C=E)  &  ( ~ (C=F)  &  ( ~ (C=G)  &  ( ~ (C=H)  &  ( ~ (C=I)  &  ( ~ (C=J)  &  ( ~ (D=E)  &  ( ~ (D=F)  &  ( ~ (D=G)  &  ( ~ (D=H)  &  ( ~ (D=I)  &  ( ~ (D=J)  &  ( ~ (E=F)  &  ( ~ (E=G)  &  ( ~ (E=H)  &  ( ~ (E=I)  &  ( ~ (E=J)  &  ( ~ (F=G)  &  ( ~ (F=H)  &  ( ~ (F=I)  &  ( ~ (F=J)  &  ( ~ (G=H)  &  ( ~ (G=I)  &  ( ~ (G=J)  &  ( ~ (H=I)  &  ( ~ (H=J)  &  ( ~ (I=J)  & k9_subset_1(A, k15_bvfunc_1(A, L, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, D, E), F), G), H), I), J)), k15_bvfunc_1(A, K, C))=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_eqrel_1(H, A) =>  (! [I] :  (m1_eqrel_1(I, A) =>  (! [J] :  (m1_eqrel_1(J, A) =>  (! [K] :  (m1_subset_1(K, A) =>  (! [L] :  (m1_subset_1(L, A) =>  ~ ( (v2_bvfunc_2(B, A) &  (B=k6_enumset1(C, D, E, F, G, H, I, J) &  ( ~ (C=D)  &  ( ~ (C=E)  &  ( ~ (C=F)  &  ( ~ (C=G)  &  ( ~ (C=H)  &  ( ~ (C=I)  &  ( ~ (C=J)  &  ( ~ (D=E)  &  ( ~ (D=F)  &  ( ~ (D=G)  &  ( ~ (D=H)  &  ( ~ (D=I)  &  ( ~ (D=J)  &  ( ~ (E=F)  &  ( ~ (E=G)  &  ( ~ (E=H)  &  ( ~ (E=I)  &  ( ~ (E=J)  &  ( ~ (F=G)  &  ( ~ (F=H)  &  ( ~ (F=I)  &  ( ~ (F=J)  &  ( ~ (G=H)  &  ( ~ (G=I)  &  ( ~ (G=J)  &  ( ~ (H=I)  &  ( ~ (H=J)  &  ( ~ (I=J)  &  (k15_bvfunc_1(A, K, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, E, F), G), H), I), J))=k15_bvfunc_1(A, L, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, E, F), G), H), I), J)) & r1_xboole_0(k15_bvfunc_1(A, L, k5_bvfunc_2(A, C, B)), k15_bvfunc_1(A, K, k5_bvfunc_2(A, D, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_eqrel_1(H, A) =>  (! [I] :  (m1_eqrel_1(I, A) =>  (! [J] :  (m1_eqrel_1(J, A) =>  (! [K] :  (m1_eqrel_1(K, A) =>  (B=k7_enumset1(C, D, E, F, G, H, I, J, K) =>  (C=D |  (C=E |  (C=F |  (C=G |  (C=H |  (C=I |  (C=J |  (C=K |  (D=E |  (D=F |  (D=G |  (D=H |  (D=I |  (D=J |  (D=K |  (E=F |  (E=G |  (E=H |  (E=I |  (E=J |  (E=K |  (F=G |  (F=H |  (F=I |  (F=J |  (F=K |  (G=H |  (G=I |  (G=J |  (G=K |  (H=I |  (H=J |  (H=K |  (I=J |  (I=K |  (J=K | k5_bvfunc_2(A, C, B)=k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, D, E), F), G), H), I), J), K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_eqrel_1(H, A) =>  (! [I] :  (m1_eqrel_1(I, A) =>  (! [J] :  (m1_eqrel_1(J, A) =>  (! [K] :  (m1_eqrel_1(K, A) =>  (B=k7_enumset1(C, D, E, F, G, H, I, J, K) =>  (C=D |  (C=E |  (C=F |  (C=G |  (C=H |  (C=I |  (C=J |  (C=K |  (D=E |  (D=F |  (D=G |  (D=H |  (D=I |  (D=J |  (D=K |  (E=F |  (E=G |  (E=H |  (E=I |  (E=J |  (E=K |  (F=G |  (F=H |  (F=I |  (F=J |  (F=K |  (G=H |  (G=I |  (G=J |  (G=K |  (H=I |  (H=J |  (H=K |  (I=J |  (I=K |  (J=K | k5_bvfunc_2(A, D, B)=k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, C, E), F), G), H), I), J), K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t69_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_eqrel_1(H, A) =>  (! [I] :  (m1_eqrel_1(I, A) =>  (! [J] :  (m1_eqrel_1(J, A) =>  (! [K] :  (m1_eqrel_1(K, A) =>  (B=k7_enumset1(C, D, E, F, G, H, I, J, K) =>  (C=D |  (C=E |  (C=F |  (C=G |  (C=H |  (C=I |  (C=J |  (C=K |  (D=E |  (D=F |  (D=G |  (D=H |  (D=I |  (D=J |  (D=K |  (E=F |  (E=G |  (E=H |  (E=I |  (E=J |  (E=K |  (F=G |  (F=H |  (F=I |  (F=J |  (F=K |  (G=H |  (G=I |  (G=J |  (G=K |  (H=I |  (H=J |  (H=K |  (I=J |  (I=K |  (J=K | k5_bvfunc_2(A, E, B)=k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, C, D), F), G), H), I), J), K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_eqrel_1(H, A) =>  (! [I] :  (m1_eqrel_1(I, A) =>  (! [J] :  (m1_eqrel_1(J, A) =>  (! [K] :  (m1_eqrel_1(K, A) =>  (B=k7_enumset1(C, D, E, F, G, H, I, J, K) =>  (C=D |  (C=E |  (C=F |  (C=G |  (C=H |  (C=I |  (C=J |  (C=K |  (D=E |  (D=F |  (D=G |  (D=H |  (D=I |  (D=J |  (D=K |  (E=F |  (E=G |  (E=H |  (E=I |  (E=J |  (E=K |  (F=G |  (F=H |  (F=I |  (F=J |  (F=K |  (G=H |  (G=I |  (G=J |  (G=K |  (H=I |  (H=J |  (H=K |  (I=J |  (I=K |  (J=K | k5_bvfunc_2(A, F, B)=k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, C, D), E), G), H), I), J), K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_eqrel_1(H, A) =>  (! [I] :  (m1_eqrel_1(I, A) =>  (! [J] :  (m1_eqrel_1(J, A) =>  (! [K] :  (m1_eqrel_1(K, A) =>  (B=k7_enumset1(C, D, E, F, G, H, I, J, K) =>  (C=D |  (C=E |  (C=F |  (C=G |  (C=H |  (C=I |  (C=J |  (C=K |  (D=E |  (D=F |  (D=G |  (D=H |  (D=I |  (D=J |  (D=K |  (E=F |  (E=G |  (E=H |  (E=I |  (E=J |  (E=K |  (F=G |  (F=H |  (F=I |  (F=J |  (F=K |  (G=H |  (G=I |  (G=J |  (G=K |  (H=I |  (H=J |  (H=K |  (I=J |  (I=K |  (J=K | k5_bvfunc_2(A, G, B)=k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, C, D), E), F), H), I), J), K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t72_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_eqrel_1(H, A) =>  (! [I] :  (m1_eqrel_1(I, A) =>  (! [J] :  (m1_eqrel_1(J, A) =>  (! [K] :  (m1_eqrel_1(K, A) =>  (B=k7_enumset1(C, D, E, F, G, H, I, J, K) =>  (C=D |  (C=E |  (C=F |  (C=G |  (C=H |  (C=I |  (C=J |  (C=K |  (D=E |  (D=F |  (D=G |  (D=H |  (D=I |  (D=J |  (D=K |  (E=F |  (E=G |  (E=H |  (E=I |  (E=J |  (E=K |  (F=G |  (F=H |  (F=I |  (F=J |  (F=K |  (G=H |  (G=I |  (G=J |  (G=K |  (H=I |  (H=J |  (H=K |  (I=J |  (I=K |  (J=K | k5_bvfunc_2(A, H, B)=k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, C, D), E), F), G), I), J), K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t73_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_eqrel_1(H, A) =>  (! [I] :  (m1_eqrel_1(I, A) =>  (! [J] :  (m1_eqrel_1(J, A) =>  (! [K] :  (m1_eqrel_1(K, A) =>  (B=k7_enumset1(C, D, E, F, G, H, I, J, K) =>  (C=D |  (C=E |  (C=F |  (C=G |  (C=H |  (C=I |  (C=J |  (C=K |  (D=E |  (D=F |  (D=G |  (D=H |  (D=I |  (D=J |  (D=K |  (E=F |  (E=G |  (E=H |  (E=I |  (E=J |  (E=K |  (F=G |  (F=H |  (F=I |  (F=J |  (F=K |  (G=H |  (G=I |  (G=J |  (G=K |  (H=I |  (H=J |  (H=K |  (I=J |  (I=K |  (J=K | k5_bvfunc_2(A, I, B)=k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, C, D), E), F), G), H), J), K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t74_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_eqrel_1(H, A) =>  (! [I] :  (m1_eqrel_1(I, A) =>  (! [J] :  (m1_eqrel_1(J, A) =>  (! [K] :  (m1_eqrel_1(K, A) =>  (B=k7_enumset1(C, D, E, F, G, H, I, J, K) =>  (C=D |  (C=E |  (C=F |  (C=G |  (C=H |  (C=I |  (C=J |  (C=K |  (D=E |  (D=F |  (D=G |  (D=H |  (D=I |  (D=J |  (D=K |  (E=F |  (E=G |  (E=H |  (E=I |  (E=J |  (E=K |  (F=G |  (F=H |  (F=I |  (F=J |  (F=K |  (G=H |  (G=I |  (G=J |  (G=K |  (H=I |  (H=J |  (H=K |  (I=J |  (I=K |  (J=K | k5_bvfunc_2(A, J, B)=k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, C, D), E), F), G), H), I), K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_eqrel_1(H, A) =>  (! [I] :  (m1_eqrel_1(I, A) =>  (! [J] :  (m1_eqrel_1(J, A) =>  (! [K] :  (m1_eqrel_1(K, A) =>  (B=k7_enumset1(C, D, E, F, G, H, I, J, K) =>  (C=D |  (C=E |  (C=F |  (C=G |  (C=H |  (C=I |  (C=J |  (C=K |  (D=E |  (D=F |  (D=G |  (D=H |  (D=I |  (D=J |  (D=K |  (E=F |  (E=G |  (E=H |  (E=I |  (E=J |  (E=K |  (F=G |  (F=H |  (F=I |  (F=J |  (F=K |  (G=H |  (G=I |  (G=J |  (G=K |  (H=I |  (H=J |  (H=K |  (I=J |  (I=K |  (J=K | k5_bvfunc_2(A, K, B)=k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, C, D), E), F), G), H), I), J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t76_bvfunc14, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  (! [J] :  ( (v1_relat_1(J) & v1_funct_1(J))  =>  (! [K] :  (! [L] :  (! [M] :  (! [N] :  (! [O] :  (! [P] :  (! [Q] :  (! [R] :  (! [S] :  (J=k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k17_funcop_1(B, L), k17_funcop_1(C, M)), k17_funcop_1(D, N)), k17_funcop_1(E, O)), k17_funcop_1(F, P)), k17_funcop_1(G, Q)), k17_funcop_1(H, R)), k17_funcop_1(I, S)), k17_funcop_1(A, K)) =>  (A=B |  (A=C |  (A=D |  (A=E |  (A=F |  (A=G |  (A=H |  (A=I |  (B=C |  (B=D |  (B=E |  (B=F |  (B=G |  (B=H |  (B=I |  (C=D |  (C=E |  (C=F |  (C=G |  (C=H |  (C=I |  (D=E |  (D=F |  (D=G |  (D=H |  (D=I |  (E=F |  (E=G |  (E=H |  (E=I |  (F=G |  (F=H |  (F=I |  (G=H |  (G=I |  (H=I |  (k1_funct_1(J, A)=K &  (k1_funct_1(J, B)=L &  (k1_funct_1(J, C)=M &  (k1_funct_1(J, D)=N &  (k1_funct_1(J, E)=O &  (k1_funct_1(J, F)=P &  (k1_funct_1(J, G)=Q &  (k1_funct_1(J, H)=R & k1_funct_1(J, I)=S) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t77_bvfunc14, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  (! [J] :  ( (v1_relat_1(J) & v1_funct_1(J))  =>  (! [K] :  (! [L] :  (! [M] :  (! [N] :  (! [O] :  (! [P] :  (! [Q] :  (! [R] :  (! [S] :  (J=k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k17_funcop_1(B, L), k17_funcop_1(C, M)), k17_funcop_1(D, N)), k17_funcop_1(E, O)), k17_funcop_1(F, P)), k17_funcop_1(G, Q)), k17_funcop_1(H, R)), k17_funcop_1(I, S)), k17_funcop_1(A, K)) => k9_xtuple_0(J)=k7_enumset1(A, B, C, D, E, F, G, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t78_bvfunc14, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  (! [J] :  ( (v1_relat_1(J) & v1_funct_1(J))  =>  (! [K] :  (! [L] :  (! [M] :  (! [N] :  (! [O] :  (! [P] :  (! [Q] :  (! [R] :  (! [S] :  (J=k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k17_funcop_1(B, L), k17_funcop_1(C, M)), k17_funcop_1(D, N)), k17_funcop_1(E, O)), k17_funcop_1(F, P)), k17_funcop_1(G, Q)), k17_funcop_1(H, R)), k17_funcop_1(I, S)), k17_funcop_1(A, K)) => k10_xtuple_0(J)=k7_enumset1(k1_funct_1(J, A), k1_funct_1(J, B), k1_funct_1(J, C), k1_funct_1(J, D), k1_funct_1(J, E), k1_funct_1(J, F), k1_funct_1(J, G), k1_funct_1(J, H), k1_funct_1(J, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t79_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_eqrel_1(H, A) =>  (! [I] :  (m1_eqrel_1(I, A) =>  (! [J] :  (m1_eqrel_1(J, A) =>  (! [K] :  (m1_eqrel_1(K, A) =>  (! [L] :  (m1_subset_1(L, A) =>  (! [M] :  (m1_subset_1(M, A) =>  ~ ( (v2_bvfunc_2(B, A) &  (B=k7_enumset1(C, D, E, F, G, H, I, J, K) &  ( ~ (C=D)  &  ( ~ (C=E)  &  ( ~ (C=F)  &  ( ~ (C=G)  &  ( ~ (C=H)  &  ( ~ (C=I)  &  ( ~ (C=J)  &  ( ~ (C=K)  &  ( ~ (D=E)  &  ( ~ (D=F)  &  ( ~ (D=G)  &  ( ~ (D=H)  &  ( ~ (D=I)  &  ( ~ (D=J)  &  ( ~ (D=K)  &  ( ~ (E=F)  &  ( ~ (E=G)  &  ( ~ (E=H)  &  ( ~ (E=I)  &  ( ~ (E=J)  &  ( ~ (E=K)  &  ( ~ (F=G)  &  ( ~ (F=H)  &  ( ~ (F=I)  &  ( ~ (F=J)  &  ( ~ (F=K)  &  ( ~ (G=H)  &  ( ~ (G=I)  &  ( ~ (G=J)  &  ( ~ (G=K)  &  ( ~ (H=I)  &  ( ~ (H=J)  &  ( ~ (H=K)  &  ( ~ (I=J)  &  ( ~ (I=K)  &  ( ~ (J=K)  & k9_subset_1(A, k15_bvfunc_1(A, M, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, D, E), F), G), H), I), J), K)), k15_bvfunc_1(A, L, C))=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t80_bvfunc14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  (! [G] :  (m1_eqrel_1(G, A) =>  (! [H] :  (m1_eqrel_1(H, A) =>  (! [I] :  (m1_eqrel_1(I, A) =>  (! [J] :  (m1_eqrel_1(J, A) =>  (! [K] :  (m1_eqrel_1(K, A) =>  (! [L] :  (m1_subset_1(L, A) =>  (! [M] :  (m1_subset_1(M, A) =>  ~ ( (v2_bvfunc_2(B, A) &  (B=k7_enumset1(C, D, E, F, G, H, I, J, K) &  ( ~ (C=D)  &  ( ~ (C=E)  &  ( ~ (C=F)  &  ( ~ (C=G)  &  ( ~ (C=H)  &  ( ~ (C=I)  &  ( ~ (C=J)  &  ( ~ (C=K)  &  ( ~ (D=E)  &  ( ~ (D=F)  &  ( ~ (D=G)  &  ( ~ (D=H)  &  ( ~ (D=I)  &  ( ~ (D=J)  &  ( ~ (D=K)  &  ( ~ (E=F)  &  ( ~ (E=G)  &  ( ~ (E=H)  &  ( ~ (E=I)  &  ( ~ (E=J)  &  ( ~ (E=K)  &  ( ~ (F=G)  &  ( ~ (F=H)  &  ( ~ (F=I)  &  ( ~ (F=J)  &  ( ~ (F=K)  &  ( ~ (G=H)  &  ( ~ (G=I)  &  ( ~ (G=J)  &  ( ~ (G=K)  &  ( ~ (H=I)  &  ( ~ (H=J)  &  ( ~ (H=K)  &  ( ~ (I=J)  &  ( ~ (I=K)  &  ( ~ (J=K)  &  (k15_bvfunc_1(A, L, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, E, F), G), H), I), J), K))=k15_bvfunc_1(A, M, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, k2_partit1(A, E, F), G), H), I), J), K)) & r1_xboole_0(k15_bvfunc_1(A, M, k5_bvfunc_2(A, C, B)), k15_bvfunc_1(A, L, k5_bvfunc_2(A, D, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rd1_bvfunc25, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  => k9_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, C, B))=k9_bvfunc_1(A, C, B)) ) ).
fof(fc1_bvfunc25, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_margrel1(B)) ) )  =>  (v1_relat_1(k1_bvfunc25(A, B)) &  (v1_funct_1(k1_bvfunc25(A, B)) & v1_margrel1(k1_bvfunc25(A, B))) ) ) ) ).
fof(fc2_bvfunc25, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_margrel1(B)) ) )  =>  (v1_relat_1(k2_bvfunc25(A, B)) &  (v1_funct_1(k2_bvfunc25(A, B)) & v1_margrel1(k2_bvfunc25(A, B))) ) ) ) ).
fof(t1_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k14_margrel1(A, k9_bvfunc_1(A, B, C)), k15_margrel1(A, B, k14_margrel1(A, C)))) ) ) ) ) ) ).
fof(t2_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, k14_margrel1(A, C), k14_margrel1(A, B)))) ) ) ) ) ) ).
fof(t3_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, B, C), k10_bvfunc_1(A, k14_margrel1(A, B), k14_margrel1(A, C)))) ) ) ) ) ) ).
fof(t4_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, B, k15_margrel1(A, B, C)))) ) ) ) ) ) ).
fof(t5_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, B, C), k9_bvfunc_1(A, k5_bvfunc_1(A, B, C), k15_margrel1(A, B, C)))) ) ) ) ) ) ).
fof(t6_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, B, k14_margrel1(A, B)), k11_bvfunc_1(A))) ) ) ) ).
fof(t7_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, k9_bvfunc_1(A, C, D)), k9_bvfunc_1(A, C, k9_bvfunc_1(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t8_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, k9_bvfunc_1(A, C, D)), k9_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t9_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, B, C), k6_bvfunc_1(A, B, k14_margrel1(A, C)))) ) ) ) ) ) ).
fof(t10_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k15_margrel1(A, B, k6_bvfunc_1(A, C, D)), k6_bvfunc_1(A, k15_margrel1(A, B, C), k15_margrel1(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t11_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, B, C), k14_margrel1(A, k6_bvfunc_1(A, B, C)))) ) ) ) ) ) ).
fof(t12_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k6_bvfunc_1(A, B, B), k11_bvfunc_1(A))) ) ) ) ).
fof(t13_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k6_bvfunc_1(A, B, k14_margrel1(A, B)), k12_bvfunc_1(A))) ) ) ) ).
fof(t14_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, C, B)), k9_bvfunc_1(A, C, B))) ) ) ) ) ) ).
fof(t15_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k15_margrel1(A, k5_bvfunc_1(A, B, C), k5_bvfunc_1(A, k14_margrel1(A, B), k14_margrel1(A, C))), k5_bvfunc_1(A, k15_margrel1(A, k14_margrel1(A, B), C), k15_margrel1(A, B, k14_margrel1(A, C))))) ) ) ) ) ) ).
fof(t16_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc_1(A, k15_margrel1(A, B, C), k15_margrel1(A, k14_margrel1(A, B), k14_margrel1(A, C))), k15_margrel1(A, k5_bvfunc_1(A, k14_margrel1(A, B), C), k5_bvfunc_1(A, B, k14_margrel1(A, C))))) ) ) ) ) ) ).
fof(t17_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k6_bvfunc_1(A, B, k6_bvfunc_1(A, C, D)), k6_bvfunc_1(A, k6_bvfunc_1(A, B, C), D))) ) ) ) ) ) ) ) ).
fof(t18_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, B, k10_bvfunc_1(A, C, D)), k10_bvfunc_1(A, k10_bvfunc_1(A, B, C), D))) ) ) ) ) ) ) ) ).
fof(t19_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k14_margrel1(A, k14_margrel1(A, B)), B), k12_bvfunc_1(A))) ) ) ) ).
fof(t20_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k15_margrel1(A, k9_bvfunc_1(A, B, C), B), C), k12_bvfunc_1(A))) ) ) ) ) ) ).
fof(t21_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, k9_bvfunc_1(A, k14_margrel1(A, B), B)), k12_bvfunc_1(A))) ) ) ) ).
fof(t22_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, k9_bvfunc_1(A, k14_margrel1(A, B), B), B), k12_bvfunc_1(A))) ) ) ) ).
fof(t23_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc_1(A, B, k9_bvfunc_1(A, B, C)), k12_bvfunc_1(A))) ) ) ) ) ) ).
fof(t24_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, D, B)), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ).
fof(t25_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, k14_margrel1(A, B), C)), k12_bvfunc_1(A))) ) ) ) ) ) ).
fof(t26_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, B, k14_margrel1(A, C))), k12_bvfunc_1(A))) ) ) ) ) ) ).
fof(t27_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k14_margrel1(A, B), k10_bvfunc_1(A, k14_margrel1(A, C), k9_bvfunc_1(A, C, B))), k12_bvfunc_1(A))) ) ) ) ) ) ).
fof(t28_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, k9_bvfunc_1(A, k9_bvfunc_1(A, B, D), C), C)), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ).
fof(t29_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, C), k10_bvfunc_1(A, B, k15_margrel1(A, B, C)))) ) ) ) ) ) ).
fof(t30_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  ( (r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, C), k12_bvfunc_1(A)) & r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, C, B), k12_bvfunc_1(A)))  <=> r2_funct_2(A, k5_margrel1, B, C)) ) ) ) ) ) ) ).
fof(t31_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, B, k9_bvfunc_1(A, k14_margrel1(A, B), B))) ) ) ) ).
fof(t32_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, k9_bvfunc_1(A, k9_bvfunc_1(A, B, C), B)), k12_bvfunc_1(A))) ) ) ) ) ) ).
fof(t33_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, B, k9_bvfunc_1(A, k9_bvfunc_1(A, B, C), B))) ) ) ) ) ) ).
fof(t34_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, B, k15_margrel1(A, k9_bvfunc_1(A, C, B), k9_bvfunc_1(A, k14_margrel1(A, C), B)))) ) ) ) ) ) ).
fof(t35_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k15_margrel1(A, B, C), k14_margrel1(A, k9_bvfunc_1(A, B, k14_margrel1(A, C))))) ) ) ) ) ) ).
fof(t36_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc_1(A, B, C), k9_bvfunc_1(A, k14_margrel1(A, B), C))) ) ) ) ) ) ).
fof(t37_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc_1(A, B, C), k9_bvfunc_1(A, k9_bvfunc_1(A, B, C), C))) ) ) ) ) ) ).
fof(t38_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, B, B)), k12_bvfunc_1(A))) ) ) ) ) ) ).
fof(t39_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k9_bvfunc_1(A, B, k9_bvfunc_1(A, C, D)), k9_bvfunc_1(A, k9_bvfunc_1(A, E, C), k9_bvfunc_1(A, B, k9_bvfunc_1(A, E, D)))), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ) ) ).
fof(t40_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k15_margrel1(A, k15_margrel1(A, k9_bvfunc_1(A, B, C), B), D), C), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ).
fof(t41_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k9_bvfunc_1(A, C, D), k9_bvfunc_1(A, k15_margrel1(A, B, C), D)), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ).
fof(t42_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k9_bvfunc_1(A, k15_margrel1(A, B, C), D), k9_bvfunc_1(A, k15_margrel1(A, B, C), k15_margrel1(A, D, C))), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ).
fof(t43_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, k15_margrel1(A, B, D), k15_margrel1(A, C, D))), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ).
fof(t44_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k15_margrel1(A, k9_bvfunc_1(A, B, C), k15_margrel1(A, B, D)), k15_margrel1(A, C, D)), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ).
fof(t45_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k15_margrel1(A, k15_margrel1(A, B, k9_bvfunc_1(A, B, C)), k9_bvfunc_1(A, C, D)), D)) ) ) ) ) ) ) ) ).
fof(t46_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k15_margrel1(A, k15_margrel1(A, k5_bvfunc_1(A, B, C), k9_bvfunc_1(A, B, D)), k9_bvfunc_1(A, C, D)), k9_bvfunc_1(A, k14_margrel1(A, B), k5_bvfunc_1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(d1_bvfunc25, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_margrel1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k1_bvfunc25(A, B) <=>  (k9_xtuple_0(C)=k3_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)) &  (! [D] :  (r2_tarski(D, k9_xtuple_0(C)) => k1_funct_1(C, D)=k8_xboolean(k1_funct_1(A, D), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ).
fof(d2_bvfunc25, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_margrel1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k2_bvfunc25(A, B) <=>  (k9_xtuple_0(C)=k3_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)) &  (! [D] :  (r2_tarski(D, k9_xtuple_0(C)) => k1_funct_1(C, D)=k9_xboolean(k1_funct_1(A, D), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ).
fof(d3_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (D=k3_bvfunc25(A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) => k3_funct_2(A, k5_margrel1, D, E)=k19_bvfunc_1(k3_funct_2(A, k5_margrel1, B, E), k3_funct_2(A, k5_margrel1, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (D=k4_bvfunc25(A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) => k3_funct_2(A, k5_margrel1, D, E)=k20_bvfunc_1(k3_funct_2(A, k5_margrel1, B, E), k3_funct_2(A, k5_margrel1, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc25(A, B, C), k14_margrel1(A, k15_margrel1(A, B, C)))) ) ) ) ) ) ).
fof(t48_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k6_bvfunc25(A, B, C), k14_margrel1(A, k5_bvfunc_1(A, B, C)))) ) ) ) ) ) ).
fof(t49_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc25(A, k12_bvfunc_1(A), B), k14_margrel1(A, B))) ) ) ) ).
fof(t50_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc25(A, k11_bvfunc_1(A), B), k12_bvfunc_1(A))) ) ) ) ).
fof(t51_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (r2_funct_2(A, k5_margrel1, k5_bvfunc25(A, k11_bvfunc_1(A), k11_bvfunc_1(A)), k12_bvfunc_1(A)) &  (r2_funct_2(A, k5_margrel1, k5_bvfunc25(A, k11_bvfunc_1(A), k12_bvfunc_1(A)), k12_bvfunc_1(A)) & r2_funct_2(A, k5_margrel1, k5_bvfunc25(A, k12_bvfunc_1(A), k12_bvfunc_1(A)), k11_bvfunc_1(A))) ) ) ) ).
fof(t52_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r2_funct_2(A, k5_margrel1, k5_bvfunc25(A, B, B), k14_margrel1(A, B)) & r2_funct_2(A, k5_margrel1, k14_margrel1(A, k5_bvfunc25(A, B, B)), B)) ) ) ) ) ).
fof(t53_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k14_margrel1(A, k5_bvfunc25(A, B, C)), k15_margrel1(A, B, C))) ) ) ) ) ) ).
fof(t54_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r2_funct_2(A, k5_margrel1, k5_bvfunc25(A, B, k14_margrel1(A, B)), k12_bvfunc_1(A)) & r2_funct_2(A, k5_margrel1, k14_margrel1(A, k5_bvfunc25(A, B, k14_margrel1(A, B))), k11_bvfunc_1(A))) ) ) ) ) ).
fof(t55_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc25(A, B, k15_margrel1(A, C, D)), k14_margrel1(A, k15_margrel1(A, k15_margrel1(A, B, C), D)))) ) ) ) ) ) ) ) ).
fof(t56_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc25(A, B, k15_margrel1(A, C, D)), k5_bvfunc25(A, k15_margrel1(A, B, C), D))) ) ) ) ) ) ) ) ).
fof(t57_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc25(A, B, k5_bvfunc_1(A, C, D)), k15_margrel1(A, k14_margrel1(A, k15_margrel1(A, B, C)), k14_margrel1(A, k15_margrel1(A, B, D))))) ) ) ) ) ) ) ) ).
fof(t58_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc25(A, B, k6_bvfunc_1(A, C, D)), k10_bvfunc_1(A, k15_margrel1(A, B, C), k15_margrel1(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t59_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r2_funct_2(A, k5_margrel1, k5_bvfunc25(A, B, k5_bvfunc25(A, C, D)), k5_bvfunc_1(A, k14_margrel1(A, B), k15_margrel1(A, C, D))) & r2_funct_2(A, k5_margrel1, k5_bvfunc25(A, B, k5_bvfunc25(A, C, D)), k9_bvfunc_1(A, B, k15_margrel1(A, C, D)))) ) ) ) ) ) ) ) ) ).
fof(t60_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r2_funct_2(A, k5_margrel1, k5_bvfunc25(A, B, k6_bvfunc25(A, C, D)), k5_bvfunc_1(A, k5_bvfunc_1(A, k14_margrel1(A, B), C), D)) & r2_funct_2(A, k5_margrel1, k5_bvfunc25(A, B, k6_bvfunc25(A, C, D)), k9_bvfunc_1(A, B, k5_bvfunc_1(A, C, D)))) ) ) ) ) ) ) ) ) ).
fof(t61_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc25(A, B, k10_bvfunc_1(A, C, D)), k9_bvfunc_1(A, B, k6_bvfunc_1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t62_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc25(A, B, k15_margrel1(A, B, C)), k5_bvfunc25(A, B, C))) ) ) ) ) ) ).
fof(t63_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc25(A, B, k5_bvfunc_1(A, B, C)), k15_margrel1(A, k14_margrel1(A, B), k14_margrel1(A, k15_margrel1(A, B, C))))) ) ) ) ) ) ).
fof(t64_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc25(A, B, k10_bvfunc_1(A, B, C)), k9_bvfunc_1(A, B, k6_bvfunc_1(A, B, C)))) ) ) ) ) ) ).
fof(t65_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r2_funct_2(A, k5_margrel1, k5_bvfunc25(A, B, k5_bvfunc25(A, B, C)), k5_bvfunc_1(A, k14_margrel1(A, B), C)) & r2_funct_2(A, k5_margrel1, k5_bvfunc25(A, B, k5_bvfunc25(A, B, C)), k9_bvfunc_1(A, B, C))) ) ) ) ) ) ) ).
fof(t66_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc25(A, B, k6_bvfunc25(A, B, C)), k12_bvfunc_1(A))) ) ) ) ) ) ).
fof(t67_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc25(A, B, k10_bvfunc_1(A, B, C)), k5_bvfunc_1(A, k14_margrel1(A, B), k14_margrel1(A, C)))) ) ) ) ) ) ).
fof(t68_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k15_margrel1(A, B, C), k5_bvfunc25(A, k5_bvfunc25(A, B, C), k5_bvfunc25(A, B, C)))) ) ) ) ) ) ).
fof(t69_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc25(A, k5_bvfunc25(A, B, C), k5_bvfunc25(A, B, D)), k15_margrel1(A, B, k5_bvfunc_1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t70_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc25(A, B, k9_bvfunc_1(A, C, D)), k15_margrel1(A, k5_bvfunc_1(A, k14_margrel1(A, B), C), k14_margrel1(A, k15_margrel1(A, B, D))))) ) ) ) ) ) ) ) ).
fof(t71_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc25(A, B, k9_bvfunc_1(A, B, C)), k14_margrel1(A, k15_margrel1(A, B, C)))) ) ) ) ) ) ).
fof(t72_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k6_bvfunc25(A, k12_bvfunc_1(A), B), k11_bvfunc_1(A))) ) ) ) ).
fof(t73_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k6_bvfunc25(A, k11_bvfunc_1(A), B), k14_margrel1(A, B))) ) ) ) ).
fof(t74_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (r2_funct_2(A, k5_margrel1, k6_bvfunc25(A, k11_bvfunc_1(A), k11_bvfunc_1(A)), k12_bvfunc_1(A)) &  (r2_funct_2(A, k5_margrel1, k6_bvfunc25(A, k11_bvfunc_1(A), k12_bvfunc_1(A)), k11_bvfunc_1(A)) & r2_funct_2(A, k5_margrel1, k6_bvfunc25(A, k12_bvfunc_1(A), k12_bvfunc_1(A)), k11_bvfunc_1(A))) ) ) ) ).
fof(t75_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r2_funct_2(A, k5_margrel1, k6_bvfunc25(A, B, B), k14_margrel1(A, B)) & r2_funct_2(A, k5_margrel1, k14_margrel1(A, k6_bvfunc25(A, B, B)), B)) ) ) ) ) ).
fof(t76_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k14_margrel1(A, k6_bvfunc25(A, B, C)), k5_bvfunc_1(A, B, C))) ) ) ) ) ) ).
fof(t77_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r2_funct_2(A, k5_margrel1, k6_bvfunc25(A, B, k14_margrel1(A, B)), k11_bvfunc_1(A)) & r2_funct_2(A, k5_margrel1, k14_margrel1(A, k6_bvfunc25(A, B, k14_margrel1(A, B))), k12_bvfunc_1(A))) ) ) ) ) ).
fof(t78_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k15_margrel1(A, k14_margrel1(A, B), k6_bvfunc_1(A, B, C)), k15_margrel1(A, k14_margrel1(A, B), C))) ) ) ) ) ) ).
fof(t79_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k6_bvfunc25(A, B, k15_margrel1(A, C, D)), k5_bvfunc_1(A, k14_margrel1(A, k5_bvfunc_1(A, B, C)), k14_margrel1(A, k5_bvfunc_1(A, B, D))))) ) ) ) ) ) ) ) ).
fof(t80_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k6_bvfunc25(A, B, k5_bvfunc_1(A, C, D)), k14_margrel1(A, k5_bvfunc_1(A, k5_bvfunc_1(A, B, C), D)))) ) ) ) ) ) ) ) ).
fof(t81_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k6_bvfunc25(A, B, k10_bvfunc_1(A, C, D)), k15_margrel1(A, k14_margrel1(A, B), k6_bvfunc_1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t82_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k6_bvfunc25(A, B, k9_bvfunc_1(A, C, D)), k15_margrel1(A, k15_margrel1(A, k14_margrel1(A, B), C), k14_margrel1(A, D)))) ) ) ) ) ) ) ) ).
fof(t83_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k6_bvfunc25(A, B, k5_bvfunc25(A, C, D)), k15_margrel1(A, k15_margrel1(A, k14_margrel1(A, B), C), D))) ) ) ) ) ) ) ) ).
fof(t84_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k6_bvfunc25(A, B, k6_bvfunc25(A, C, D)), k15_margrel1(A, k14_margrel1(A, B), k5_bvfunc_1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t85_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k6_bvfunc25(A, B, k15_margrel1(A, B, C)), k14_margrel1(A, k15_margrel1(A, B, k5_bvfunc_1(A, B, C))))) ) ) ) ) ) ).
fof(t86_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k6_bvfunc25(A, B, k5_bvfunc_1(A, B, C)), k14_margrel1(A, k5_bvfunc_1(A, B, C)))) ) ) ) ) ) ).
fof(t87_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k6_bvfunc25(A, B, k10_bvfunc_1(A, B, C)), k15_margrel1(A, k14_margrel1(A, B), C))) ) ) ) ) ) ).
fof(t88_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k6_bvfunc25(A, B, k9_bvfunc_1(A, B, C)), k11_bvfunc_1(A))) ) ) ) ) ) ).
fof(t89_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k6_bvfunc25(A, B, k5_bvfunc25(A, B, C)), k11_bvfunc_1(A))) ) ) ) ) ) ).
fof(t90_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k6_bvfunc25(A, B, k6_bvfunc25(A, B, C)), k15_margrel1(A, k14_margrel1(A, B), C))) ) ) ) ) ) ).
fof(t91_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, k11_bvfunc_1(A), k11_bvfunc_1(A)), k12_bvfunc_1(A))) ) ).
fof(t92_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, k11_bvfunc_1(A), k12_bvfunc_1(A)), k11_bvfunc_1(A))) ) ).
fof(t93_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, k12_bvfunc_1(A), k12_bvfunc_1(A)), k12_bvfunc_1(A))) ) ).
fof(t94_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, B, B), k12_bvfunc_1(A)) & r2_funct_2(A, k5_margrel1, k14_margrel1(A, k10_bvfunc_1(A, B, B)), k11_bvfunc_1(A))) ) ) ) ) ).
fof(t95_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, B, k5_bvfunc_1(A, B, C)), k5_bvfunc_1(A, B, k14_margrel1(A, C)))) ) ) ) ) ) ).
fof(t96_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k15_margrel1(A, B, k5_bvfunc25(A, C, D)), k5_bvfunc_1(A, k15_margrel1(A, B, k14_margrel1(A, C)), k15_margrel1(A, B, k14_margrel1(A, D))))) ) ) ) ) ) ) ) ).
fof(t97_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc_1(A, B, k5_bvfunc25(A, C, D)), k5_bvfunc_1(A, k5_bvfunc_1(A, B, k14_margrel1(A, C)), k14_margrel1(A, D)))) ) ) ) ) ) ) ) ).
fof(t98_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k6_bvfunc_1(A, B, k5_bvfunc25(A, C, D)), k5_bvfunc_1(A, k15_margrel1(A, k14_margrel1(A, B), k14_margrel1(A, k15_margrel1(A, C, D))), k15_margrel1(A, k15_margrel1(A, B, C), D)))) ) ) ) ) ) ) ) ).
fof(t99_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, B, k5_bvfunc25(A, C, D)), k5_bvfunc_1(A, k15_margrel1(A, B, k14_margrel1(A, k15_margrel1(A, C, D))), k15_margrel1(A, k15_margrel1(A, k14_margrel1(A, B), C), D)))) ) ) ) ) ) ) ) ).
fof(t100_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, k5_bvfunc25(A, C, D)), k14_margrel1(A, k15_margrel1(A, k15_margrel1(A, B, C), D)))) ) ) ) ) ) ) ) ).
fof(t101_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k6_bvfunc25(A, B, k5_bvfunc25(A, C, D)), k14_margrel1(A, k5_bvfunc_1(A, k5_bvfunc_1(A, B, k14_margrel1(A, C)), k14_margrel1(A, D))))) ) ) ) ) ) ) ) ).
fof(t102_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k15_margrel1(A, B, k5_bvfunc25(A, B, C)), k15_margrel1(A, B, k14_margrel1(A, C)))) ) ) ) ) ) ).
fof(t103_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc_1(A, B, k5_bvfunc25(A, B, C)), k12_bvfunc_1(A))) ) ) ) ) ) ).
fof(t104_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k6_bvfunc_1(A, B, k5_bvfunc25(A, B, C)), k5_bvfunc_1(A, k14_margrel1(A, B), C))) ) ) ) ) ) ).
fof(t105_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, B, k5_bvfunc25(A, B, C)), k15_margrel1(A, B, k14_margrel1(A, C)))) ) ) ) ) ) ).
fof(t106_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, k5_bvfunc25(A, B, C)), k14_margrel1(A, k15_margrel1(A, B, C)))) ) ) ) ) ) ).
fof(t107_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k15_margrel1(A, B, k6_bvfunc25(A, C, D)), k15_margrel1(A, k15_margrel1(A, B, k14_margrel1(A, C)), k14_margrel1(A, D)))) ) ) ) ) ) ) ) ).
fof(t108_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc_1(A, B, k6_bvfunc25(A, C, D)), k15_margrel1(A, k5_bvfunc_1(A, B, k14_margrel1(A, C)), k5_bvfunc_1(A, B, k14_margrel1(A, D))))) ) ) ) ) ) ) ) ).
fof(t109_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k6_bvfunc_1(A, B, k6_bvfunc25(A, C, D)), k15_margrel1(A, k5_bvfunc_1(A, B, k14_margrel1(A, k5_bvfunc_1(A, C, D))), k5_bvfunc_1(A, k5_bvfunc_1(A, k14_margrel1(A, B), C), D)))) ) ) ) ) ) ) ) ).
fof(t110_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, B, k6_bvfunc25(A, C, D)), k15_margrel1(A, k5_bvfunc_1(A, k5_bvfunc_1(A, B, C), D), k5_bvfunc_1(A, k14_margrel1(A, B), k14_margrel1(A, k5_bvfunc_1(A, C, D)))))) ) ) ) ) ) ) ) ).
fof(t111_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, k6_bvfunc25(A, C, D)), k14_margrel1(A, k15_margrel1(A, B, k5_bvfunc_1(A, C, D))))) ) ) ) ) ) ) ) ).
fof(t112_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc25(A, B, k6_bvfunc25(A, C, D)), k5_bvfunc_1(A, k5_bvfunc_1(A, k14_margrel1(A, B), C), D))) ) ) ) ) ) ) ) ).
fof(t113_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k15_margrel1(A, B, k6_bvfunc25(A, B, C)), k11_bvfunc_1(A))) ) ) ) ) ) ).
fof(t114_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc_1(A, B, k6_bvfunc25(A, B, C)), k5_bvfunc_1(A, B, k14_margrel1(A, C)))) ) ) ) ) ) ).
fof(t115_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k6_bvfunc_1(A, B, k6_bvfunc25(A, B, C)), k5_bvfunc_1(A, B, k14_margrel1(A, C)))) ) ) ) ) ) ).
fof(t116_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, B, k6_bvfunc25(A, B, C)), k15_margrel1(A, k14_margrel1(A, B), C))) ) ) ) ) ) ).
fof(t117_bvfunc25, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, k6_bvfunc25(A, B, C)), k14_margrel1(A, k5_bvfunc_1(A, B, k15_margrel1(A, B, C))))) ) ) ) ) ) ).
fof(dt_k1_bvfunc25, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_margrel1(B)) ) )  =>  (v1_relat_1(k1_bvfunc25(A, B)) & v1_funct_1(k1_bvfunc25(A, B))) ) ) ).
fof(commutativity_k1_bvfunc25, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_margrel1(B)) ) )  => k1_bvfunc25(A, B)=k1_bvfunc25(B, A)) ) ).
fof(dt_k2_bvfunc25, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_margrel1(B)) ) )  =>  (v1_relat_1(k2_bvfunc25(A, B)) & v1_funct_1(k2_bvfunc25(A, B))) ) ) ).
fof(commutativity_k2_bvfunc25, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_margrel1(B)) ) )  => k2_bvfunc25(A, B)=k2_bvfunc25(B, A)) ) ).
fof(dt_k3_bvfunc25, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  =>  (v1_funct_1(k3_bvfunc25(A, B, C)) &  (v1_funct_2(k3_bvfunc25(A, B, C), A, k5_margrel1) & m1_subset_1(k3_bvfunc25(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ) ).
fof(commutativity_k3_bvfunc25, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  => k3_bvfunc25(A, B, C)=k3_bvfunc25(A, C, B)) ) ).
fof(redefinition_k3_bvfunc25, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  => k3_bvfunc25(A, B, C)=k1_bvfunc25(B, C)) ) ).
fof(dt_k4_bvfunc25, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  =>  (v1_funct_1(k4_bvfunc25(A, B, C)) &  (v1_funct_2(k4_bvfunc25(A, B, C), A, k5_margrel1) & m1_subset_1(k4_bvfunc25(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ) ).
fof(commutativity_k4_bvfunc25, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  => k4_bvfunc25(A, B, C)=k4_bvfunc25(A, C, B)) ) ).
fof(redefinition_k4_bvfunc25, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  => k4_bvfunc25(A, B, C)=k2_bvfunc25(B, C)) ) ).
fof(dt_k5_bvfunc25, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  =>  (v1_funct_1(k5_bvfunc25(A, B, C)) &  (v1_funct_2(k5_bvfunc25(A, B, C), A, k5_margrel1) & m1_subset_1(k5_bvfunc25(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ) ).
fof(commutativity_k5_bvfunc25, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  => k5_bvfunc25(A, B, C)=k5_bvfunc25(A, C, B)) ) ).
fof(redefinition_k5_bvfunc25, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  => k5_bvfunc25(A, B, C)=k1_bvfunc25(B, C)) ) ).
fof(dt_k6_bvfunc25, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  =>  (v1_funct_1(k6_bvfunc25(A, B, C)) &  (v1_funct_2(k6_bvfunc25(A, B, C), A, k5_margrel1) & m1_subset_1(k6_bvfunc25(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ) ).
fof(commutativity_k6_bvfunc25, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  => k6_bvfunc25(A, B, C)=k6_bvfunc25(A, C, B)) ) ).
fof(redefinition_k6_bvfunc25, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  => k6_bvfunc25(A, B, C)=k2_bvfunc25(B, C)) ) ).
fof(fc1_bvfunc_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_margrel1(B)) ) )  =>  (v1_relat_1(k4_bvfunc_1(A, B)) &  (v1_funct_1(k4_bvfunc_1(A, B)) & v1_margrel1(k4_bvfunc_1(A, B))) ) ) ) ).
fof(fc2_bvfunc_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_margrel1(B)) ) )  =>  (v1_relat_1(k7_bvfunc_1(A, B)) &  (v1_funct_1(k7_bvfunc_1(A, B)) & v1_margrel1(k7_bvfunc_1(A, B))) ) ) ) ).
fof(fc3_bvfunc_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_margrel1(B)) ) )  =>  (v1_relat_1(k8_bvfunc_1(A, B)) &  (v1_funct_1(k8_bvfunc_1(A, B)) & v1_margrel1(k8_bvfunc_1(A, B))) ) ) ) ).
fof(fc4_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k11_bvfunc_1(A)) &  (v3_funct_1(k11_bvfunc_1(A)) & v1_funct_2(k11_bvfunc_1(A), A, k5_margrel1)) ) ) ) ).
fof(fc5_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k12_bvfunc_1(A)) &  (v3_funct_1(k12_bvfunc_1(A)) & v1_funct_2(k12_bvfunc_1(A), A, k5_margrel1)) ) ) ) ).
fof(d1_bvfunc_1, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) =>  (r1_xxreal_0(A, B) <=> k6_xboolean(A, B)=k7_margrel1) ) ) ) ) ).
fof(d2_bvfunc_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_margrel1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_margrel1(C)) )  =>  (C=k3_bvfunc_1(A, B) <=>  (k9_xtuple_0(C)=k3_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)) &  (! [D] :  (r2_hidden(D, k9_xtuple_0(C)) => k1_funct_1(C, D)=k5_xboolean(k1_funct_1(A, D), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ).
fof(d3_bvfunc_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_margrel1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k4_bvfunc_1(A, B) <=>  (k9_xtuple_0(C)=k3_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)) &  (! [D] :  (r2_tarski(D, k9_xtuple_0(C)) => k1_funct_1(C, D)=k10_xboolean(k1_funct_1(A, D), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ).
fof(d4_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (D=k5_bvfunc_1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) => k3_funct_2(A, k5_margrel1, D, E)=k5_xboolean(k3_funct_2(A, k5_margrel1, B, E), k3_funct_2(A, k5_margrel1, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (D=k6_bvfunc_1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) => k3_funct_2(A, k5_margrel1, D, E)=k10_xboolean(k3_funct_2(A, k5_margrel1, B, E), k3_funct_2(A, k5_margrel1, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_bvfunc_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_margrel1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k7_bvfunc_1(A, B) <=>  (k9_xtuple_0(C)=k3_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)) &  (! [D] :  (r2_tarski(D, k9_xtuple_0(C)) => k1_funct_1(C, D)=k6_xboolean(k1_funct_1(A, D), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ).
fof(d7_bvfunc_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_margrel1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k8_bvfunc_1(A, B) <=>  (k9_xtuple_0(C)=k3_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)) &  (! [D] :  (r2_tarski(D, k9_xtuple_0(C)) => k1_funct_1(C, D)=k7_xboolean(k1_funct_1(A, D), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ).
fof(d8_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (D=k9_bvfunc_1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) => k3_funct_2(A, k5_margrel1, D, E)=k5_xboolean(k8_margrel1(k3_funct_2(A, k5_margrel1, B, E)), k3_funct_2(A, k5_margrel1, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (D=k10_bvfunc_1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) => k3_funct_2(A, k5_margrel1, D, E)=k3_xboolean(k10_xboolean(k3_funct_2(A, k5_margrel1, B, E), k3_funct_2(A, k5_margrel1, C, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (B=k11_bvfunc_1(A) <=>  (! [C] :  (m1_subset_1(C, A) => k3_funct_2(A, k5_margrel1, B, C)=k6_margrel1) ) ) ) ) ) ) ).
fof(d11_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (B=k12_bvfunc_1(A) <=>  (! [C] :  (m1_subset_1(C, A) => k3_funct_2(A, k5_margrel1, B, C)=k7_margrel1) ) ) ) ) ) ) ).
fof(t2_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (r2_funct_2(A, k5_margrel1, k1_bvfunc_1(A, k12_bvfunc_1(A)), k11_bvfunc_1(A)) & r2_funct_2(A, k5_margrel1, k1_bvfunc_1(A, k11_bvfunc_1(A)), k12_bvfunc_1(A))) ) ) ).
fof(t3_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k2_bvfunc_1(A, B, B), B)) ) ) ) ) ) ).
fof(t4_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k2_bvfunc_1(A, k2_bvfunc_1(A, B, C), D), k2_bvfunc_1(A, B, k2_bvfunc_1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t5_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k2_bvfunc_1(A, B, k11_bvfunc_1(A)), k11_bvfunc_1(A))) ) ) ) ).
fof(t6_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k2_bvfunc_1(A, B, k12_bvfunc_1(A)), B)) ) ) ) ).
fof(t7_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc_1(A, B, B), B)) ) ) ) ).
fof(t8_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc_1(A, k5_bvfunc_1(A, B, C), D), k5_bvfunc_1(A, B, k5_bvfunc_1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t9_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc_1(A, B, k11_bvfunc_1(A)), B)) ) ) ) ).
fof(t10_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc_1(A, B, k12_bvfunc_1(A)), k12_bvfunc_1(A))) ) ) ) ).
fof(t11_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc_1(A, k2_bvfunc_1(A, B, C), D), k2_bvfunc_1(A, k5_bvfunc_1(A, B, D), k5_bvfunc_1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t12_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k2_bvfunc_1(A, k5_bvfunc_1(A, B, C), D), k5_bvfunc_1(A, k2_bvfunc_1(A, B, D), k2_bvfunc_1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t13_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k1_bvfunc_1(A, k5_bvfunc_1(A, B, C)), k2_bvfunc_1(A, k1_bvfunc_1(A, B), k1_bvfunc_1(A, C)))) ) ) ) ) ) ).
fof(t14_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k1_bvfunc_1(A, k2_bvfunc_1(A, B, C)), k5_bvfunc_1(A, k1_bvfunc_1(A, B), k1_bvfunc_1(A, C)))) ) ) ) ) ) ).
fof(d12_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r1_bvfunc_1(A, B, C) <=>  (! [D] :  (m1_subset_1(D, A) =>  (k3_funct_2(A, k5_margrel1, B, D)=k7_margrel1 => k3_funct_2(A, k5_margrel1, C, D)=k7_margrel1) ) ) ) ) ) ) ) ) ) ).
fof(t15_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  ( ( (r1_bvfunc_1(A, B, C) & r1_bvfunc_1(A, C, B))  => r2_funct_2(A, k5_margrel1, B, C))  &  ( (r1_bvfunc_1(A, B, C) & r1_bvfunc_1(A, C, D))  => r1_bvfunc_1(A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t16_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, C), k12_bvfunc_1(A)) <=> r1_bvfunc_1(A, B, C)) ) ) ) ) ) ) ).
fof(t17_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, B, C), k12_bvfunc_1(A)) <=> r2_funct_2(A, k5_margrel1, B, C)) ) ) ) ) ) ) ).
fof(t18_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r1_bvfunc_1(A, k11_bvfunc_1(A), B) & r1_bvfunc_1(A, B, k12_bvfunc_1(A))) ) ) ) ) ).
fof(d13_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  ( ( (! [C] :  (m1_subset_1(C, A) => k3_funct_2(A, k5_margrel1, B, C)=k7_margrel1) )  => k13_bvfunc_1(A, B)=k12_bvfunc_1(A))  &  ( ~ ( (! [C] :  (m1_subset_1(C, A) => k3_funct_2(A, k5_margrel1, B, C)=k7_margrel1) ) )  => k13_bvfunc_1(A, B)=k11_bvfunc_1(A)) ) ) ) ) ) ).
fof(d14_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  ( ( (! [C] :  (m1_subset_1(C, A) => k3_funct_2(A, k5_margrel1, B, C)=k6_margrel1) )  => k14_bvfunc_1(A, B)=k11_bvfunc_1(A))  &  ( ~ ( (! [C] :  (m1_subset_1(C, A) => k3_funct_2(A, k5_margrel1, B, C)=k6_margrel1) ) )  => k14_bvfunc_1(A, B)=k12_bvfunc_1(A)) ) ) ) ) ) ).
fof(t19_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r2_funct_2(A, k5_margrel1, k1_bvfunc_1(A, k13_bvfunc_1(A, B)), k14_bvfunc_1(A, k1_bvfunc_1(A, B))) & r2_funct_2(A, k5_margrel1, k1_bvfunc_1(A, k14_bvfunc_1(A, B)), k13_bvfunc_1(A, k1_bvfunc_1(A, B)))) ) ) ) ) ).
fof(t20_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (r2_funct_2(A, k5_margrel1, k13_bvfunc_1(A, k11_bvfunc_1(A)), k11_bvfunc_1(A)) &  (r2_funct_2(A, k5_margrel1, k13_bvfunc_1(A, k12_bvfunc_1(A)), k12_bvfunc_1(A)) &  (r2_funct_2(A, k5_margrel1, k14_bvfunc_1(A, k11_bvfunc_1(A)), k11_bvfunc_1(A)) & r2_funct_2(A, k5_margrel1, k14_bvfunc_1(A, k12_bvfunc_1(A)), k12_bvfunc_1(A))) ) ) ) ) ).
fof(t21_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v3_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) )  =>  (r2_funct_2(A, k5_margrel1, B, k11_bvfunc_1(A)) | r2_funct_2(A, k5_margrel1, B, k12_bvfunc_1(A))) ) ) ) ) ).
fof(t22_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v3_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) )  =>  (r2_funct_2(A, k5_margrel1, k13_bvfunc_1(A, B), B) & r2_funct_2(A, k5_margrel1, k14_bvfunc_1(A, B), B)) ) ) ) ) ).
fof(t23_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r2_funct_2(A, k5_margrel1, k13_bvfunc_1(A, k2_bvfunc_1(A, B, C)), k2_bvfunc_1(A, k13_bvfunc_1(A, B), k13_bvfunc_1(A, C))) & r2_funct_2(A, k5_margrel1, k14_bvfunc_1(A, k5_bvfunc_1(A, B, C)), k5_bvfunc_1(A, k14_bvfunc_1(A, B), k14_bvfunc_1(A, C)))) ) ) ) ) ) ) ).
fof(t24_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v3_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) )  =>  (r2_funct_2(A, k5_margrel1, k13_bvfunc_1(A, k9_bvfunc_1(A, C, B)), k9_bvfunc_1(A, C, k13_bvfunc_1(A, B))) & r2_funct_2(A, k5_margrel1, k13_bvfunc_1(A, k9_bvfunc_1(A, B, C)), k9_bvfunc_1(A, k14_bvfunc_1(A, B), C))) ) ) ) ) ) ) ).
fof(t25_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v3_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) )  =>  (r2_funct_2(A, k5_margrel1, k13_bvfunc_1(A, k5_bvfunc_1(A, C, B)), k5_bvfunc_1(A, C, k13_bvfunc_1(A, B))) &  (r2_funct_2(A, k5_margrel1, k14_bvfunc_1(A, k2_bvfunc_1(A, C, B)), k2_bvfunc_1(A, C, k14_bvfunc_1(A, B))) & r2_funct_2(A, k5_margrel1, k14_bvfunc_1(A, k2_bvfunc_1(A, B, C)), k2_bvfunc_1(A, k14_bvfunc_1(A, B), C))) ) ) ) ) ) ) ) ).
fof(t26_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, A) => r1_xxreal_0(k3_funct_2(A, k5_margrel1, k13_bvfunc_1(A, B), C), k3_funct_2(A, k5_margrel1, B, C))) ) ) ) ) ) ).
fof(t27_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, A) => r1_xxreal_0(k3_funct_2(A, k5_margrel1, B, C), k3_funct_2(A, k5_margrel1, k14_bvfunc_1(A, B), C))) ) ) ) ) ) ).
fof(d15_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_eqrel_1(C, A) =>  (r2_bvfunc_1(A, B, C) <=>  (! [D] :  (r2_tarski(D, C) =>  (! [E] :  (! [F] :  ( (r2_tarski(E, D) & r2_tarski(F, D))  => k1_funct_1(B, E)=k1_funct_1(B, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_bvfunc_1(A, B, k6_partit1(A))) ) ) ) ).
fof(t29_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v3_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) )  => r2_bvfunc_1(A, B, k7_partit1(A))) ) ) ) ).
fof(d16_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (D=k16_bvfunc_1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) =>  ( ( (! [F] :  (m1_subset_1(F, A) =>  (r2_tarski(F, k15_bvfunc_1(A, E, C)) => k3_funct_2(A, k5_margrel1, B, F)=k7_margrel1) ) )  => k3_funct_2(A, k5_margrel1, D, E)=k7_margrel1)  &  ( (? [F] :  (m1_subset_1(F, A) &  (r2_tarski(F, k15_bvfunc_1(A, E, C)) &  ~ (k3_funct_2(A, k5_margrel1, B, F)=k7_margrel1) ) ) )  => k3_funct_2(A, k5_margrel1, D, E)=k6_margrel1) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (D=k17_bvfunc_1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) =>  ( ( (? [F] :  (m1_subset_1(F, A) &  (r2_tarski(F, k15_bvfunc_1(A, E, C)) & k3_funct_2(A, k5_margrel1, B, F)=k7_margrel1) ) )  => k3_funct_2(A, k5_margrel1, D, E)=k7_margrel1)  &  ( (! [F] :  (m1_subset_1(F, A) =>  ~ ( (r2_tarski(F, k15_bvfunc_1(A, E, C)) & k3_funct_2(A, k5_margrel1, B, F)=k7_margrel1) ) ) )  => k3_funct_2(A, k5_margrel1, D, E)=k6_margrel1) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_eqrel_1(C, A) => r2_bvfunc_1(A, k16_bvfunc_1(A, B, C), C)) ) ) ) ) ) ).
fof(t31_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_eqrel_1(C, A) => r2_bvfunc_1(A, k17_bvfunc_1(A, B, C), C)) ) ) ) ) ) ).
fof(t32_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_eqrel_1(C, A) => r1_bvfunc_1(A, k16_bvfunc_1(A, B, C), B)) ) ) ) ) ) ).
fof(t33_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_eqrel_1(C, A) => r1_bvfunc_1(A, B, k17_bvfunc_1(A, B, C))) ) ) ) ) ) ).
fof(t34_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_eqrel_1(C, A) => r2_funct_2(A, k5_margrel1, k1_bvfunc_1(A, k16_bvfunc_1(A, B, C)), k17_bvfunc_1(A, k1_bvfunc_1(A, B), C))) ) ) ) ) ) ).
fof(t35_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k16_bvfunc_1(A, B, k7_partit1(A)), k13_bvfunc_1(A, B))) ) ) ) ).
fof(t36_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k17_bvfunc_1(A, B, k7_partit1(A)), k14_bvfunc_1(A, B))) ) ) ) ).
fof(t37_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k16_bvfunc_1(A, B, k6_partit1(A)), B)) ) ) ) ).
fof(t38_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k17_bvfunc_1(A, B, k6_partit1(A)), B)) ) ) ) ).
fof(t39_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  (m1_eqrel_1(D, A) => r2_funct_2(A, k5_margrel1, k16_bvfunc_1(A, k2_bvfunc_1(A, B, C), D), k2_bvfunc_1(A, k16_bvfunc_1(A, B, D), k16_bvfunc_1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t40_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  (m1_eqrel_1(D, A) => r2_funct_2(A, k5_margrel1, k17_bvfunc_1(A, k5_bvfunc_1(A, B, C), D), k5_bvfunc_1(A, k17_bvfunc_1(A, B, D), k17_bvfunc_1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t41_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_bvfunc_1(A, B, k18_bvfunc_1(A, B))) ) ) ) ).
fof(t42_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_eqrel_1(C, A) =>  (r2_bvfunc_1(A, B, C) => r1_setfam_1(C, k18_bvfunc_1(A, B))) ) ) ) ) ) ) ).
fof(d19_bvfunc_1, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) => k7_xboolean(A, B)=k3_xboolean(k10_xboolean(A, B))) ) ) ) ).
fof(t43_bvfunc_1, axiom,  (! [A] :  (v1_xboolean(A) => k8_xboolean(k7_margrel1, A)=k3_xboolean(A)) ) ).
fof(t44_bvfunc_1, axiom,  (! [A] :  (v1_xboolean(A) => k8_xboolean(k6_margrel1, A)=k7_margrel1) ) ).
fof(t45_bvfunc_1, axiom,  (! [A] :  (v1_xboolean(A) =>  (k8_xboolean(A, A)=k3_xboolean(A) & k3_xboolean(k8_xboolean(A, A))=A) ) ) ).
fof(t46_bvfunc_1, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) => k3_xboolean(k8_xboolean(A, B))=k4_xboolean(A, B)) ) ) ) ).
fof(t47_bvfunc_1, axiom,  (! [A] :  (v1_xboolean(A) =>  (k8_xboolean(A, k3_xboolean(A))=k7_margrel1 & k3_xboolean(k8_xboolean(A, k3_xboolean(A)))=k6_margrel1) ) ) ).
fof(t48_bvfunc_1, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) =>  (! [C] :  (v1_xboolean(C) => k8_xboolean(A, k4_xboolean(B, C))=k3_xboolean(k4_xboolean(k4_xboolean(A, B), C))) ) ) ) ) ) ).
fof(t49_bvfunc_1, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) =>  (! [C] :  (v1_xboolean(C) => k8_xboolean(A, k4_xboolean(B, C))=k8_xboolean(k4_xboolean(A, B), C)) ) ) ) ) ) ).
fof(t50_bvfunc_1, axiom,  (! [A] :  (v1_xboolean(A) => k9_xboolean(k7_margrel1, A)=k6_margrel1) ) ).
fof(t51_bvfunc_1, axiom,  (! [A] :  (v1_xboolean(A) => k9_xboolean(k6_margrel1, A)=k3_xboolean(A)) ) ).
fof(t52_bvfunc_1, axiom,  (! [A] :  (v1_xboolean(A) =>  (k9_xboolean(A, A)=k3_xboolean(A) & k3_xboolean(k9_xboolean(A, A))=A) ) ) ).
fof(t53_bvfunc_1, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) => k3_xboolean(k9_xboolean(A, B))=k5_xboolean(A, B)) ) ) ) ).
fof(t54_bvfunc_1, axiom,  (! [A] :  (v1_xboolean(A) =>  (k9_xboolean(A, k3_xboolean(A))=k6_margrel1 & k3_xboolean(k9_xboolean(A, k3_xboolean(A)))=k7_margrel1) ) ) ).
fof(t55_bvfunc_1, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) =>  (! [C] :  (v1_xboolean(C) => k9_xboolean(A, k5_xboolean(B, C))=k3_xboolean(k5_xboolean(k5_xboolean(A, B), C))) ) ) ) ) ) ).
fof(t56_bvfunc_1, axiom,  (! [A] :  (v1_xboolean(A) => k7_xboolean(k7_margrel1, A)=A) ) ).
fof(t57_bvfunc_1, axiom,  (! [A] :  (v1_xboolean(A) => k7_xboolean(k6_margrel1, A)=k3_xboolean(A)) ) ).
fof(t58_bvfunc_1, axiom,  (! [A] :  (v1_xboolean(A) =>  (k7_xboolean(A, A)=k7_margrel1 & k3_xboolean(k7_xboolean(A, A))=k6_margrel1) ) ) ).
fof(t59_bvfunc_1, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) => k3_xboolean(k7_xboolean(A, B))=k10_xboolean(A, B)) ) ) ) ).
fof(t60_bvfunc_1, axiom,  (! [A] :  (v1_xboolean(A) =>  (k7_xboolean(A, k3_xboolean(A))=k6_margrel1 & k3_xboolean(k7_xboolean(A, k3_xboolean(A)))=k7_margrel1) ) ) ).
fof(t61_bvfunc_1, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) =>  (! [C] :  (v1_xboolean(C) =>  (r1_xxreal_0(A, k6_xboolean(B, C)) <=> r1_xxreal_0(k4_xboolean(A, B), C)) ) ) ) ) ) ) ).
fof(t62_bvfunc_1, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) => k7_xboolean(A, B)=k4_xboolean(k6_xboolean(A, B), k6_xboolean(B, A))) ) ) ) ).
fof(t63_bvfunc_1, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) => k6_xboolean(A, B)=k6_xboolean(k3_xboolean(B), k3_xboolean(A))) ) ) ) ).
fof(t64_bvfunc_1, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) => k7_xboolean(A, B)=k7_xboolean(k3_xboolean(A), k3_xboolean(B))) ) ) ) ).
fof(t65_bvfunc_1, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) =>  ( (A=k7_margrel1 & k6_xboolean(A, B)=k7_margrel1)  => B=k7_margrel1) ) ) ) ) ).
fof(t66_bvfunc_1, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) =>  (B=k7_margrel1 => k6_xboolean(A, B)=k7_margrel1) ) ) ) ) ).
fof(t67_bvfunc_1, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) =>  (k3_xboolean(A)=k7_margrel1 => k6_xboolean(A, B)=k7_margrel1) ) ) ) ) ).
fof(t68_bvfunc_1, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) =>  (! [C] :  (v1_xboolean(C) =>  (k6_xboolean(C, k6_xboolean(B, A))=k7_margrel1 => k6_xboolean(B, k6_xboolean(C, A))=k7_margrel1) ) ) ) ) ) ) ).
fof(t69_bvfunc_1, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) =>  (! [C] :  (v1_xboolean(C) =>  ( (k6_xboolean(C, k6_xboolean(B, A))=k7_margrel1 & B=k7_margrel1)  => k6_xboolean(C, A)=k7_margrel1) ) ) ) ) ) ) ).
fof(t70_bvfunc_1, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) =>  (! [C] :  (v1_xboolean(C) =>  ( (k6_xboolean(C, k6_xboolean(B, A))=k7_margrel1 &  (B=k7_margrel1 & C=k7_margrel1) )  => A=k7_margrel1) ) ) ) ) ) ) ).
fof(s1_bvfunc_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, f1_s1_bvfunc_1, k5_margrel1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(f1_s1_bvfunc_1, k5_margrel1)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, f1_s1_bvfunc_1, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(f1_s1_bvfunc_1, k5_margrel1)))) )  =>  ( ( (! [C] :  (m1_subset_1(C, f1_s1_bvfunc_1) => k3_funct_2(f1_s1_bvfunc_1, k5_margrel1, A, C)=f2_s1_bvfunc_1(C)) )  &  (! [C] :  (m1_subset_1(C, f1_s1_bvfunc_1) => k3_funct_2(f1_s1_bvfunc_1, k5_margrel1, B, C)=f2_s1_bvfunc_1(C)) ) )  => r2_funct_2(f1_s1_bvfunc_1, k5_margrel1, A, B)) ) ) ) ) ).
fof(dt_f1_s1_bvfunc_1, axiom,  ~ (v1_xboole_0(f1_s1_bvfunc_1)) ).
fof(dt_k1_bvfunc_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) )  =>  (v1_funct_1(k1_bvfunc_1(A, B)) &  (v1_funct_2(k1_bvfunc_1(A, B), A, k5_margrel1) & m1_subset_1(k1_bvfunc_1(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ) ).
fof(involutiveness_k1_bvfunc_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) )  => k1_bvfunc_1(A, k1_bvfunc_1(A, B))=B) ) ).
fof(redefinition_k1_bvfunc_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) )  => k1_bvfunc_1(A, B)=k12_margrel1(B)) ) ).
fof(dt_k2_bvfunc_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  =>  (v1_funct_1(k2_bvfunc_1(A, B, C)) &  (v1_funct_2(k2_bvfunc_1(A, B, C), A, k5_margrel1) & m1_subset_1(k2_bvfunc_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ) ).
fof(commutativity_k2_bvfunc_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  => k2_bvfunc_1(A, B, C)=k2_bvfunc_1(A, C, B)) ) ).
fof(idempotence_k2_bvfunc_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  => k2_bvfunc_1(A, B, B)=B) ) ).
fof(redefinition_k2_bvfunc_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  => k2_bvfunc_1(A, B, C)=k13_margrel1(B, C)) ) ).
fof(dt_k3_bvfunc_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_margrel1(B)) ) )  =>  (v1_relat_1(k3_bvfunc_1(A, B)) &  (v1_funct_1(k3_bvfunc_1(A, B)) & v1_margrel1(k3_bvfunc_1(A, B))) ) ) ) ).
fof(commutativity_k3_bvfunc_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_margrel1(B)) ) )  => k3_bvfunc_1(A, B)=k3_bvfunc_1(B, A)) ) ).
fof(idempotence_k3_bvfunc_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_margrel1(B)) ) )  => k3_bvfunc_1(A, A)=A) ) ).
fof(dt_k4_bvfunc_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_margrel1(B)) ) )  =>  (v1_relat_1(k4_bvfunc_1(A, B)) & v1_funct_1(k4_bvfunc_1(A, B))) ) ) ).
fof(commutativity_k4_bvfunc_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_margrel1(B)) ) )  => k4_bvfunc_1(A, B)=k4_bvfunc_1(B, A)) ) ).
fof(dt_k5_bvfunc_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  =>  (v1_funct_1(k5_bvfunc_1(A, B, C)) &  (v1_funct_2(k5_bvfunc_1(A, B, C), A, k5_margrel1) & m1_subset_1(k5_bvfunc_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ) ).
fof(commutativity_k5_bvfunc_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  => k5_bvfunc_1(A, B, C)=k5_bvfunc_1(A, C, B)) ) ).
fof(idempotence_k5_bvfunc_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  => k5_bvfunc_1(A, B, B)=B) ) ).
fof(redefinition_k5_bvfunc_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  => k5_bvfunc_1(A, B, C)=k3_bvfunc_1(B, C)) ) ).
fof(dt_k6_bvfunc_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  =>  (v1_funct_1(k6_bvfunc_1(A, B, C)) &  (v1_funct_2(k6_bvfunc_1(A, B, C), A, k5_margrel1) & m1_subset_1(k6_bvfunc_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ) ).
fof(commutativity_k6_bvfunc_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  => k6_bvfunc_1(A, B, C)=k6_bvfunc_1(A, C, B)) ) ).
fof(redefinition_k6_bvfunc_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  => k6_bvfunc_1(A, B, C)=k4_bvfunc_1(B, C)) ) ).
fof(dt_k7_bvfunc_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_margrel1(B)) ) )  =>  (v1_relat_1(k7_bvfunc_1(A, B)) & v1_funct_1(k7_bvfunc_1(A, B))) ) ) ).
fof(dt_k8_bvfunc_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_margrel1(B)) ) )  =>  (v1_relat_1(k8_bvfunc_1(A, B)) & v1_funct_1(k8_bvfunc_1(A, B))) ) ) ).
fof(commutativity_k8_bvfunc_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_margrel1(B)) ) )  => k8_bvfunc_1(A, B)=k8_bvfunc_1(B, A)) ) ).
fof(dt_k9_bvfunc_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  =>  (v1_funct_1(k9_bvfunc_1(A, B, C)) &  (v1_funct_2(k9_bvfunc_1(A, B, C), A, k5_margrel1) & m1_subset_1(k9_bvfunc_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ) ).
fof(redefinition_k9_bvfunc_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  => k9_bvfunc_1(A, B, C)=k7_bvfunc_1(B, C)) ) ).
fof(dt_k10_bvfunc_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  =>  (v1_funct_1(k10_bvfunc_1(A, B, C)) &  (v1_funct_2(k10_bvfunc_1(A, B, C), A, k5_margrel1) & m1_subset_1(k10_bvfunc_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ) ).
fof(commutativity_k10_bvfunc_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  => k10_bvfunc_1(A, B, C)=k10_bvfunc_1(A, C, B)) ) ).
fof(redefinition_k10_bvfunc_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  => k10_bvfunc_1(A, B, C)=k8_bvfunc_1(B, C)) ) ).
fof(dt_k11_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k11_bvfunc_1(A)) &  (v1_funct_2(k11_bvfunc_1(A), A, k5_margrel1) & m1_subset_1(k11_bvfunc_1(A), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ) ).
fof(dt_k12_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k12_bvfunc_1(A)) &  (v1_funct_2(k12_bvfunc_1(A), A, k5_margrel1) & m1_subset_1(k12_bvfunc_1(A), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ) ).
fof(reflexivity_r1_bvfunc_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  => r1_bvfunc_1(A, B, B)) ) ).
fof(dt_k13_bvfunc_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) )  =>  (v1_funct_1(k13_bvfunc_1(A, B)) &  (v1_funct_2(k13_bvfunc_1(A, B), A, k5_margrel1) & m1_subset_1(k13_bvfunc_1(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ) ).
fof(dt_k14_bvfunc_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) )  =>  (v1_funct_1(k14_bvfunc_1(A, B)) &  (v1_funct_2(k14_bvfunc_1(A, B), A, k5_margrel1) & m1_subset_1(k14_bvfunc_1(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ) ).
fof(dt_m1_bvfunc_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_eqrel_1(B, A))  =>  (! [C] :  (m1_bvfunc_1(C, A, B) => m1_subset_1(C, k1_zfmisc_1(A))) ) ) ) ).
fof(existence_m1_bvfunc_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_eqrel_1(B, A))  =>  (? [C] : m1_bvfunc_1(C, A, B)) ) ) ).
fof(redefinition_m1_bvfunc_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_eqrel_1(B, A))  =>  (! [C] :  (m1_bvfunc_1(C, A, B) <=> m1_subset_1(C, B)) ) ) ) ).
fof(dt_k15_bvfunc_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & m1_eqrel_1(C, A)) )  => m1_bvfunc_1(k15_bvfunc_1(A, B, C), A, C)) ) ).
fof(redefinition_k15_bvfunc_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & m1_eqrel_1(C, A)) )  => k15_bvfunc_1(A, B, C)=k12_eqrel_1(A, B, C)) ) ).
fof(dt_k16_bvfunc_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  & m1_eqrel_1(C, A)) )  =>  (v1_funct_1(k16_bvfunc_1(A, B, C)) &  (v1_funct_2(k16_bvfunc_1(A, B, C), A, k5_margrel1) & m1_subset_1(k16_bvfunc_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ) ).
fof(dt_k17_bvfunc_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  & m1_eqrel_1(C, A)) )  =>  (v1_funct_1(k17_bvfunc_1(A, B, C)) &  (v1_funct_2(k17_bvfunc_1(A, B, C), A, k5_margrel1) & m1_subset_1(k17_bvfunc_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ) ).
fof(dt_k18_bvfunc_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) )  => m1_eqrel_1(k18_bvfunc_1(A, B), A)) ) ).
fof(dt_k19_bvfunc_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k5_margrel1) & m1_subset_1(B, k5_margrel1))  => m1_subset_1(k19_bvfunc_1(A, B), k5_margrel1)) ) ).
fof(commutativity_k19_bvfunc_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k5_margrel1) & m1_subset_1(B, k5_margrel1))  => k19_bvfunc_1(A, B)=k19_bvfunc_1(B, A)) ) ).
fof(redefinition_k19_bvfunc_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k5_margrel1) & m1_subset_1(B, k5_margrel1))  => k19_bvfunc_1(A, B)=k8_xboolean(A, B)) ) ).
fof(dt_k20_bvfunc_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k5_margrel1) & m1_subset_1(B, k5_margrel1))  => m1_subset_1(k20_bvfunc_1(A, B), k5_margrel1)) ) ).
fof(commutativity_k20_bvfunc_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k5_margrel1) & m1_subset_1(B, k5_margrel1))  => k20_bvfunc_1(A, B)=k20_bvfunc_1(B, A)) ) ).
fof(redefinition_k20_bvfunc_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k5_margrel1) & m1_subset_1(B, k5_margrel1))  => k20_bvfunc_1(A, B)=k9_xboolean(A, B)) ) ).
fof(dt_k21_bvfunc_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k5_margrel1) & m1_subset_1(B, k5_margrel1))  => m1_subset_1(k21_bvfunc_1(A, B), k5_margrel1)) ) ).
fof(commutativity_k21_bvfunc_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k5_margrel1) & m1_subset_1(B, k5_margrel1))  => k21_bvfunc_1(A, B)=k21_bvfunc_1(B, A)) ) ).
fof(redefinition_k21_bvfunc_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k5_margrel1) & m1_subset_1(B, k5_margrel1))  => k21_bvfunc_1(A, B)=k7_xboolean(A, B)) ) ).
fof(d18_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => k18_bvfunc_1(A, B)=k6_subset_1(k2_tarski(a_2_0_bvfunc_1(A, B), a_2_1_bvfunc_1(A, B)), k1_tarski(k1_xboole_0))) ) ) ) ).
fof(fraenkel_a_2_0_bvfunc_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1)))) ) )  =>  (r2_hidden(A, a_2_0_bvfunc_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, B) &  (A=D & k3_funct_2(B, k5_margrel1, C, D)=k7_margrel1) ) ) ) ) ) ).
fof(fraenkel_a_2_1_bvfunc_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1)))) ) )  =>  (r2_hidden(A, a_2_1_bvfunc_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, B) &  (A=D & k3_funct_2(B, k5_margrel1, C, D)=k6_margrel1) ) ) ) ) ) ).
fof(t1_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_partit1(A))) =>  (! [C] :  (m1_subset_1(C, A) =>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) &  (r2_tarski(C, D) &  (? [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  &  (? [F] :  (m1_subset_1(F, k1_zfmisc_1(k1_zfmisc_1(A))) &  (k9_xtuple_0(E)=B &  (k10_xtuple_0(E)=F &  ( (! [G] :  (r2_tarski(G, B) => r2_tarski(k1_funct_1(E, G), G)) )  &  (D=k8_setfam_1(A, F) &  ~ (D=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (C=k2_bvfunc_2(A, B) <=>  (! [D] :  (r2_tarski(D, C) <=>  (? [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  &  (? [F] :  (m1_subset_1(F, k1_zfmisc_1(k1_zfmisc_1(A))) &  (k9_xtuple_0(E)=B &  (k10_xtuple_0(E)=F &  ( (! [G] :  (r2_tarski(G, B) => r2_tarski(k1_funct_1(E, G), G)) )  &  (D=k8_setfam_1(A, F) &  ~ (D=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (r1_bvfunc_2(A, B, C) <=>  ( (! [D] :  (m1_eqrel_1(D, A) =>  (r2_tarski(D, B) => r1_partit1(A, D, C)) ) )  &  (! [D] :  ( (r1_tarski(D, C) &  (! [E] :  (m1_eqrel_1(E, A) =>  (r2_tarski(E, B) => r1_partit1(A, E, D)) ) ) )  => D=C) ) ) ) ) ) ) ) ) ).
fof(t2_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_partit1(A))) =>  (! [C] :  (m1_subset_1(C, A) =>  ~ ( ( ~ (B=k1_xboole_0)  &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  ~ ( (r2_tarski(C, D) & r1_bvfunc_2(A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  ( ( ~ (B=k1_xboole_0)  =>  (C=k3_bvfunc_2(A, B) <=>  (! [D] :  (r2_tarski(D, C) <=> r1_bvfunc_2(A, B, D)) ) ) )  &  (B=k1_xboole_0 =>  (C=k3_bvfunc_2(A, B) <=> C=k6_partit1(A)) ) ) ) ) ) ) ) ) ).
fof(t3_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (r2_tarski(C, B) => r1_setfam_1(k2_bvfunc_2(A, B), C)) ) ) ) ) ) ) ).
fof(t4_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (r2_tarski(C, B) => r1_setfam_1(C, k3_bvfunc_2(A, B))) ) ) ) ) ) ) ).
fof(d4_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (v1_bvfunc_2(B, A) <=> k2_bvfunc_2(A, B)=k6_partit1(A)) ) ) ) ) ).
fof(d5_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (v2_bvfunc_2(B, A) <=>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(A))) =>  ~ ( (k9_xtuple_0(C)=B &  (k10_xtuple_0(C)=D &  ( (! [E] :  (r2_tarski(E, B) => r2_tarski(k1_funct_1(C, E), E)) )  & k8_setfam_1(A, D)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (r2_bvfunc_2(A, B) <=>  (v2_bvfunc_2(B, A) & v1_bvfunc_2(B, A)) ) ) ) ) ) ).
fof(d7_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) => k5_bvfunc_2(A, B, C)=k2_bvfunc_2(A, k7_subset_1(k1_bvfunc_2(A), C, k4_bvfunc_2(A, B)))) ) ) ) ) ) ).
fof(d8_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (r3_bvfunc_2(A, B, C, D) <=> r2_bvfunc_1(A, B, k5_bvfunc_2(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(d9_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) => k6_bvfunc_2(A, B, C, D)=k16_bvfunc_1(A, B, k5_bvfunc_2(A, D, C))) ) ) ) ) ) ) ) ).
fof(d10_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) => k7_bvfunc_2(A, B, C, D)=k17_bvfunc_1(A, B, k5_bvfunc_2(A, D, C))) ) ) ) ) ) ) ) ).
fof(t5_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_partit1(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  (m1_eqrel_1(D, A) => r2_bvfunc_1(A, k6_bvfunc_2(A, C, B, D), k5_bvfunc_2(A, D, B))) ) ) ) ) ) ) ) ).
fof(t6_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_partit1(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  (m1_eqrel_1(D, A) => r2_bvfunc_1(A, k7_bvfunc_2(A, C, B, D), k5_bvfunc_2(A, D, B))) ) ) ) ) ) ) ) ).
fof(t7_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_partit1(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  (m1_eqrel_1(D, A) => r2_funct_2(A, k5_margrel1, k6_bvfunc_2(A, k12_bvfunc_1(A), B, D), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ).
fof(t8_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_partit1(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  (m1_eqrel_1(D, A) => r2_funct_2(A, k5_margrel1, k7_bvfunc_2(A, k12_bvfunc_1(A), B, D), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ).
fof(t9_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_partit1(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  (m1_eqrel_1(D, A) => r2_funct_2(A, k5_margrel1, k6_bvfunc_2(A, k11_bvfunc_1(A), B, D), k11_bvfunc_1(A))) ) ) ) ) ) ) ) ).
fof(t10_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_partit1(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  (m1_eqrel_1(D, A) => r2_funct_2(A, k5_margrel1, k7_bvfunc_2(A, k11_bvfunc_1(A), B, D), k11_bvfunc_1(A))) ) ) ) ) ) ) ) ).
fof(t11_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_partit1(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  (m1_eqrel_1(D, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, C, B, D), C)) ) ) ) ) ) ) ) ).
fof(t12_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_partit1(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  (m1_eqrel_1(D, A) => r1_bvfunc_1(A, C, k7_bvfunc_2(A, C, B, D))) ) ) ) ) ) ) ) ).
fof(t13_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_partit1(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k5_bvfunc_1(A, k6_bvfunc_2(A, C, B, E), k6_bvfunc_2(A, D, B, E)), k6_bvfunc_2(A, k5_bvfunc_1(A, C, D), B, E))) ) ) ) ) ) ) ) ) ) ).
fof(t14_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_partit1(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, k9_bvfunc_1(A, C, D), B, E), k9_bvfunc_1(A, k6_bvfunc_2(A, C, B, E), k6_bvfunc_2(A, D, B, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t15_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k7_bvfunc_2(A, k2_bvfunc_1(A, B, C), D, E), k2_bvfunc_1(A, k7_bvfunc_2(A, B, D, E), k7_bvfunc_2(A, C, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t16_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_partit1(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k6_bvfunc_1(A, k7_bvfunc_2(A, C, B, E), k7_bvfunc_2(A, D, B, E)), k7_bvfunc_2(A, k6_bvfunc_1(A, C, D), B, E))) ) ) ) ) ) ) ) ) ) ).
fof(t17_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_partit1(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k9_bvfunc_1(A, k7_bvfunc_2(A, C, B, E), k7_bvfunc_2(A, D, B, E)), k7_bvfunc_2(A, k9_bvfunc_1(A, C, D), B, E))) ) ) ) ) ) ) ) ) ) ).
fof(t18_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_partit1(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  (m1_eqrel_1(D, A) => r2_funct_2(A, k5_margrel1, k1_bvfunc_1(A, k6_bvfunc_2(A, C, B, D)), k7_bvfunc_2(A, k1_bvfunc_1(A, C), B, D))) ) ) ) ) ) ) ) ).
fof(t19_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_partit1(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  (m1_eqrel_1(D, A) => r2_funct_2(A, k5_margrel1, k1_bvfunc_1(A, k7_bvfunc_2(A, C, B, D)), k6_bvfunc_2(A, k1_bvfunc_1(A, C), B, D))) ) ) ) ) ) ) ) ).
fof(t20_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_partit1(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) =>  (r3_bvfunc_2(A, D, B, E) => r2_funct_2(A, k5_margrel1, k6_bvfunc_2(A, k9_bvfunc_1(A, D, C), B, E), k9_bvfunc_1(A, D, k6_bvfunc_2(A, C, B, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_partit1(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) =>  (r3_bvfunc_2(A, D, B, E) => r2_funct_2(A, k5_margrel1, k6_bvfunc_2(A, k9_bvfunc_1(A, C, D), B, E), k9_bvfunc_1(A, k7_bvfunc_2(A, C, B, E), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_partit1(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) =>  (r3_bvfunc_2(A, D, B, E) => r2_funct_2(A, k5_margrel1, k6_bvfunc_2(A, k5_bvfunc_1(A, D, C), B, E), k5_bvfunc_1(A, D, k6_bvfunc_2(A, C, B, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_partit1(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) =>  (r3_bvfunc_2(A, D, B, E) => r2_funct_2(A, k5_margrel1, k6_bvfunc_2(A, k5_bvfunc_1(A, C, D), B, E), k5_bvfunc_1(A, k6_bvfunc_2(A, C, B, E), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_partit1(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) =>  (r3_bvfunc_2(A, D, B, E) => r1_bvfunc_1(A, k6_bvfunc_2(A, k5_bvfunc_1(A, C, D), B, E), k5_bvfunc_1(A, k7_bvfunc_2(A, C, B, E), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_partit1(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) =>  (r3_bvfunc_2(A, D, B, E) => r2_funct_2(A, k5_margrel1, k6_bvfunc_2(A, k2_bvfunc_1(A, D, C), B, E), k2_bvfunc_1(A, D, k6_bvfunc_2(A, C, B, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_partit1(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) =>  (r3_bvfunc_2(A, D, B, E) => r2_funct_2(A, k5_margrel1, k6_bvfunc_2(A, k2_bvfunc_1(A, C, D), B, E), k2_bvfunc_1(A, k6_bvfunc_2(A, C, B, E), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_partit1(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, k2_bvfunc_1(A, C, D), B, E), k2_bvfunc_1(A, k7_bvfunc_2(A, C, B, E), D))) ) ) ) ) ) ) ) ) ) ).
fof(t28_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_partit1(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) =>  (r3_bvfunc_2(A, D, B, E) => r1_bvfunc_1(A, k6_bvfunc_2(A, k6_bvfunc_1(A, D, C), B, E), k6_bvfunc_1(A, D, k6_bvfunc_2(A, C, B, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_partit1(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) =>  (r3_bvfunc_2(A, D, B, E) => r1_bvfunc_1(A, k6_bvfunc_2(A, k6_bvfunc_1(A, C, D), B, E), k6_bvfunc_1(A, k6_bvfunc_2(A, C, B, E), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_partit1(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) =>  (r3_bvfunc_2(A, D, B, E) => r1_bvfunc_1(A, k6_bvfunc_2(A, k10_bvfunc_1(A, D, C), B, E), k10_bvfunc_1(A, D, k6_bvfunc_2(A, C, B, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_partit1(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) =>  (r3_bvfunc_2(A, D, B, E) => r1_bvfunc_1(A, k6_bvfunc_2(A, k10_bvfunc_1(A, C, D), B, E), k10_bvfunc_1(A, k6_bvfunc_2(A, C, B, E), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_partit1(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) =>  (r3_bvfunc_2(A, D, B, E) => r2_funct_2(A, k5_margrel1, k7_bvfunc_2(A, k5_bvfunc_1(A, D, C), B, E), k5_bvfunc_1(A, D, k7_bvfunc_2(A, C, B, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_partit1(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) =>  (r3_bvfunc_2(A, D, B, E) => r2_funct_2(A, k5_margrel1, k7_bvfunc_2(A, k5_bvfunc_1(A, C, D), B, E), k5_bvfunc_1(A, k7_bvfunc_2(A, C, B, E), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_partit1(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) =>  (r3_bvfunc_2(A, D, B, E) => r2_funct_2(A, k5_margrel1, k7_bvfunc_2(A, k2_bvfunc_1(A, D, C), B, E), k2_bvfunc_1(A, D, k7_bvfunc_2(A, C, B, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_partit1(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) =>  (r3_bvfunc_2(A, D, B, E) => r2_funct_2(A, k5_margrel1, k7_bvfunc_2(A, k2_bvfunc_1(A, C, D), B, E), k2_bvfunc_1(A, k7_bvfunc_2(A, C, B, E), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_partit1(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k9_bvfunc_1(A, D, k7_bvfunc_2(A, C, B, E)), k7_bvfunc_2(A, k9_bvfunc_1(A, D, C), B, E))) ) ) ) ) ) ) ) ) ) ).
fof(t37_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_partit1(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k9_bvfunc_1(A, k7_bvfunc_2(A, C, B, E), D), k7_bvfunc_2(A, k9_bvfunc_1(A, C, D), B, E))) ) ) ) ) ) ) ) ) ) ).
fof(t38_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_partit1(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) =>  (r3_bvfunc_2(A, D, B, E) => r1_bvfunc_1(A, k6_bvfunc_1(A, D, k7_bvfunc_2(A, C, B, E)), k7_bvfunc_2(A, k6_bvfunc_1(A, D, C), B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_partit1(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) =>  (r3_bvfunc_2(A, D, B, E) => r1_bvfunc_1(A, k6_bvfunc_1(A, k7_bvfunc_2(A, C, B, E), D), k7_bvfunc_2(A, k6_bvfunc_1(A, C, D), B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_bvfunc_2, axiom,  (! [A] :  (v1_eqrel_1(k1_bvfunc_2(A), A) & m1_subset_1(k1_bvfunc_2(A), k1_zfmisc_1(k1_zfmisc_1(k9_setfam_1(A))))) ) ).
fof(redefinition_k1_bvfunc_2, axiom,  (! [A] : k1_bvfunc_2(A)=k1_partit1(A)) ).
fof(dt_m1_bvfunc_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_eqrel_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(k9_setfam_1(A))))) )  =>  (! [C] :  (m1_bvfunc_2(C, A, B) => m1_eqrel_1(C, A)) ) ) ) ).
fof(existence_m1_bvfunc_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_eqrel_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(k9_setfam_1(A))))) )  =>  (? [C] : m1_bvfunc_2(C, A, B)) ) ) ).
fof(redefinition_m1_bvfunc_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_eqrel_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(k9_setfam_1(A))))) )  =>  (! [C] :  (m1_bvfunc_2(C, A, B) <=> m1_subset_1(C, B)) ) ) ) ).
fof(dt_k2_bvfunc_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))))  => m1_eqrel_1(k2_bvfunc_2(A, B), A)) ) ).
fof(dt_k3_bvfunc_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))))  => m1_eqrel_1(k3_bvfunc_2(A, B), A)) ) ).
fof(dt_k4_bvfunc_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_eqrel_1(B, A))  => m1_subset_1(k4_bvfunc_2(A, B), k1_zfmisc_1(k1_bvfunc_2(A)))) ) ).
fof(redefinition_k4_bvfunc_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_eqrel_1(B, A))  => k4_bvfunc_2(A, B)=k1_tarski(B)) ) ).
fof(dt_k5_bvfunc_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_eqrel_1(B, A) & m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A)))) )  => m1_eqrel_1(k5_bvfunc_2(A, B, C), A)) ) ).
fof(dt_k6_bvfunc_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) & m1_eqrel_1(D, A)) ) )  =>  (v1_funct_1(k6_bvfunc_2(A, B, C, D)) &  (v1_funct_2(k6_bvfunc_2(A, B, C, D), A, k5_margrel1) & m1_subset_1(k6_bvfunc_2(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ) ).
fof(dt_k7_bvfunc_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) & m1_eqrel_1(D, A)) ) )  =>  (v1_funct_1(k7_bvfunc_2(A, B, C, D)) &  (v1_funct_2(k7_bvfunc_2(A, B, C, D), A, k5_margrel1) & m1_subset_1(k7_bvfunc_2(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ) ).
fof(t1_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k9_bvfunc_1(A, C, D), k9_bvfunc_1(A, k6_bvfunc_2(A, C, B, E), k7_bvfunc_2(A, D, B, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t2_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k2_bvfunc_1(A, k6_bvfunc_2(A, C, B, E), k6_bvfunc_2(A, D, B, E)), k2_bvfunc_1(A, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t3_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k2_bvfunc_1(A, C, D), k2_bvfunc_1(A, k7_bvfunc_2(A, C, B, E), k7_bvfunc_2(A, D, B, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t4_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) => r2_funct_2(A, k5_margrel1, k1_bvfunc_1(A, k2_bvfunc_1(A, k6_bvfunc_2(A, C, B, E), k6_bvfunc_2(A, D, B, E))), k5_bvfunc_1(A, k7_bvfunc_2(A, k1_bvfunc_1(A, C), B, E), k7_bvfunc_2(A, k1_bvfunc_1(A, D), B, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t5_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) => r2_funct_2(A, k5_margrel1, k1_bvfunc_1(A, k2_bvfunc_1(A, k7_bvfunc_2(A, C, B, E), k7_bvfunc_2(A, D, B, E))), k5_bvfunc_1(A, k6_bvfunc_2(A, k1_bvfunc_1(A, C), B, E), k6_bvfunc_2(A, k1_bvfunc_1(A, D), B, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t6_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k5_bvfunc_1(A, k6_bvfunc_2(A, C, B, E), k6_bvfunc_2(A, D, B, E)), k5_bvfunc_1(A, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t7_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k5_bvfunc_1(A, C, D), k5_bvfunc_1(A, k7_bvfunc_2(A, C, B, E), k7_bvfunc_2(A, D, B, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t8_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k6_bvfunc_1(A, C, D), k5_bvfunc_1(A, k1_bvfunc_1(A, k6_bvfunc_1(A, k7_bvfunc_2(A, k1_bvfunc_1(A, C), B, E), k7_bvfunc_2(A, D, B, E))), k1_bvfunc_1(A, k6_bvfunc_1(A, k7_bvfunc_2(A, C, B, E), k7_bvfunc_2(A, k1_bvfunc_1(A, D), B, E)))))) ) ) ) ) ) ) ) ) ) ).
fof(t9_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, k5_bvfunc_1(A, C, D), B, E), k5_bvfunc_1(A, k6_bvfunc_2(A, C, B, E), k7_bvfunc_2(A, D, B, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t10_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, k5_bvfunc_1(A, C, D), B, E), k5_bvfunc_1(A, k7_bvfunc_2(A, C, B, E), k6_bvfunc_2(A, D, B, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t11_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, k5_bvfunc_1(A, C, D), B, E), k5_bvfunc_1(A, k7_bvfunc_2(A, C, B, E), k7_bvfunc_2(A, D, B, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t12_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k2_bvfunc_1(A, k7_bvfunc_2(A, C, B, E), k6_bvfunc_2(A, D, B, E)), k7_bvfunc_2(A, k2_bvfunc_1(A, C, D), B, E))) ) ) ) ) ) ) ) ) ) ).
fof(t13_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k2_bvfunc_1(A, k6_bvfunc_2(A, C, B, E), k7_bvfunc_2(A, D, B, E)), k7_bvfunc_2(A, k2_bvfunc_1(A, C, D), B, E))) ) ) ) ) ) ) ) ) ) ).
fof(t14_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, k9_bvfunc_1(A, C, D), B, E), k9_bvfunc_1(A, k6_bvfunc_2(A, C, B, E), k7_bvfunc_2(A, D, B, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t15_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, k9_bvfunc_1(A, C, D), B, E), k9_bvfunc_1(A, k7_bvfunc_2(A, C, B, E), k7_bvfunc_2(A, D, B, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t16_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k9_bvfunc_1(A, k7_bvfunc_2(A, C, B, E), k6_bvfunc_2(A, D, B, E)), k6_bvfunc_2(A, k9_bvfunc_1(A, C, D), B, E))) ) ) ) ) ) ) ) ) ) ).
fof(t17_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k9_bvfunc_1(A, C, D), k9_bvfunc_1(A, C, k7_bvfunc_2(A, D, B, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t18_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k9_bvfunc_1(A, C, D), k9_bvfunc_1(A, k6_bvfunc_2(A, C, B, E), D))) ) ) ) ) ) ) ) ) ) ).
fof(t19_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k7_bvfunc_2(A, k9_bvfunc_1(A, C, D), B, E), k9_bvfunc_1(A, k6_bvfunc_2(A, C, B, E), k7_bvfunc_2(A, D, B, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t20_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, C, B, E), k9_bvfunc_1(A, k7_bvfunc_2(A, D, B, E), k7_bvfunc_2(A, k2_bvfunc_1(A, C, D), B, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t21_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) =>  (r3_bvfunc_2(A, D, B, E) => r1_bvfunc_1(A, k7_bvfunc_2(A, k9_bvfunc_1(A, D, C), B, E), k9_bvfunc_1(A, D, k7_bvfunc_2(A, C, B, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) =>  (r3_bvfunc_2(A, D, B, E) => r1_bvfunc_1(A, k7_bvfunc_2(A, k9_bvfunc_1(A, C, D), B, E), k9_bvfunc_1(A, k6_bvfunc_2(A, C, B, E), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k6_bvfunc_2(A, C, B, E), k7_bvfunc_2(A, D, B, E)), k7_bvfunc_2(A, k9_bvfunc_1(A, C, D), B, E))) ) ) ) ) ) ) ) ) ) ).
fof(t24_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k9_bvfunc_1(A, k6_bvfunc_2(A, C, B, E), k6_bvfunc_2(A, D, B, E)), k9_bvfunc_1(A, k6_bvfunc_2(A, C, B, E), k7_bvfunc_2(A, D, B, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t25_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k9_bvfunc_1(A, k7_bvfunc_2(A, C, B, E), k7_bvfunc_2(A, D, B, E)), k9_bvfunc_1(A, k6_bvfunc_2(A, C, B, E), k7_bvfunc_2(A, D, B, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t26_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) => r2_funct_2(A, k5_margrel1, k6_bvfunc_2(A, k9_bvfunc_1(A, C, D), B, E), k6_bvfunc_2(A, k5_bvfunc_1(A, k1_bvfunc_1(A, C), D), B, E))) ) ) ) ) ) ) ) ) ) ).
fof(t27_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) => r2_funct_2(A, k5_margrel1, k6_bvfunc_2(A, k9_bvfunc_1(A, C, D), B, E), k1_bvfunc_1(A, k7_bvfunc_2(A, k2_bvfunc_1(A, C, k1_bvfunc_1(A, D)), B, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t28_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k7_bvfunc_2(A, C, B, E), k1_bvfunc_1(A, k2_bvfunc_1(A, k6_bvfunc_2(A, k9_bvfunc_1(A, C, D), B, E), k6_bvfunc_2(A, k9_bvfunc_1(A, C, k1_bvfunc_1(A, D)), B, E))))) ) ) ) ) ) ) ) ) ) ).
fof(t29_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k7_bvfunc_2(A, C, B, E), k1_bvfunc_1(A, k2_bvfunc_1(A, k1_bvfunc_1(A, k7_bvfunc_2(A, k2_bvfunc_1(A, C, D), B, E)), k1_bvfunc_1(A, k7_bvfunc_2(A, k2_bvfunc_1(A, C, k1_bvfunc_1(A, D)), B, E)))))) ) ) ) ) ) ) ) ) ) ).
fof(t30_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k2_bvfunc_1(A, k7_bvfunc_2(A, C, B, E), k6_bvfunc_2(A, k9_bvfunc_1(A, C, D), B, E)), k7_bvfunc_2(A, k2_bvfunc_1(A, C, D), B, E))) ) ) ) ) ) ) ) ) ) ).
fof(t31_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k2_bvfunc_1(A, k7_bvfunc_2(A, C, B, E), k1_bvfunc_1(A, k7_bvfunc_2(A, k2_bvfunc_1(A, C, D), B, E))), k1_bvfunc_1(A, k6_bvfunc_2(A, k9_bvfunc_1(A, C, D), B, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t32_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [F] :  (m1_eqrel_1(F, A) => r1_bvfunc_1(A, k2_bvfunc_1(A, k6_bvfunc_2(A, k9_bvfunc_1(A, C, E), B, F), k6_bvfunc_2(A, k9_bvfunc_1(A, E, D), B, F)), k6_bvfunc_2(A, k9_bvfunc_1(A, C, D), B, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [F] :  (m1_eqrel_1(F, A) => r1_bvfunc_1(A, k2_bvfunc_1(A, k6_bvfunc_2(A, k9_bvfunc_1(A, E, D), B, F), k7_bvfunc_2(A, k2_bvfunc_1(A, C, E), B, F)), k7_bvfunc_2(A, k2_bvfunc_1(A, C, D), B, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [F] :  (m1_eqrel_1(F, A) => r1_bvfunc_1(A, k2_bvfunc_1(A, k6_bvfunc_2(A, k9_bvfunc_1(A, D, k1_bvfunc_1(A, E)), B, F), k6_bvfunc_2(A, k9_bvfunc_1(A, C, E), B, F)), k6_bvfunc_2(A, k9_bvfunc_1(A, C, k1_bvfunc_1(A, D)), B, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [F] :  (m1_eqrel_1(F, A) => r1_bvfunc_1(A, k2_bvfunc_1(A, k6_bvfunc_2(A, k9_bvfunc_1(A, D, E), B, F), k6_bvfunc_2(A, k9_bvfunc_1(A, C, k1_bvfunc_1(A, E)), B, F)), k6_bvfunc_2(A, k9_bvfunc_1(A, C, k1_bvfunc_1(A, D)), B, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [F] :  (m1_eqrel_1(F, A) => r1_bvfunc_1(A, k2_bvfunc_1(A, k6_bvfunc_2(A, k9_bvfunc_1(A, D, k1_bvfunc_1(A, E)), B, F), k7_bvfunc_2(A, k2_bvfunc_1(A, C, E), B, F)), k7_bvfunc_2(A, k2_bvfunc_1(A, C, k1_bvfunc_1(A, D)), B, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [F] :  (m1_eqrel_1(F, A) => r1_bvfunc_1(A, k2_bvfunc_1(A, k6_bvfunc_2(A, k9_bvfunc_1(A, D, E), B, F), k7_bvfunc_2(A, k2_bvfunc_1(A, C, k1_bvfunc_1(A, E)), B, F)), k7_bvfunc_2(A, k2_bvfunc_1(A, C, k1_bvfunc_1(A, D)), B, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [F] :  (m1_eqrel_1(F, A) => r1_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k7_bvfunc_2(A, E, B, F), k6_bvfunc_2(A, k9_bvfunc_1(A, E, D), B, F)), k6_bvfunc_2(A, k9_bvfunc_1(A, E, C), B, F)), k7_bvfunc_2(A, k2_bvfunc_1(A, C, D), B, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [F] :  (m1_eqrel_1(F, A) => r1_bvfunc_1(A, k2_bvfunc_1(A, k6_bvfunc_2(A, k9_bvfunc_1(A, D, E), B, F), k6_bvfunc_2(A, k9_bvfunc_1(A, E, k1_bvfunc_1(A, C)), B, F)), k6_bvfunc_2(A, k9_bvfunc_1(A, C, k1_bvfunc_1(A, D)), B, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [F] :  (m1_eqrel_1(F, A) => r1_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k7_bvfunc_2(A, D, B, F), k6_bvfunc_2(A, k9_bvfunc_1(A, D, E), B, F)), k6_bvfunc_2(A, k9_bvfunc_1(A, E, C), B, F)), k7_bvfunc_2(A, k2_bvfunc_1(A, C, D), B, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_bvfunc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [F] :  (m1_eqrel_1(F, A) => r1_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k7_bvfunc_2(A, E, B, F), k6_bvfunc_2(A, k9_bvfunc_1(A, D, k1_bvfunc_1(A, E)), B, F)), k6_bvfunc_2(A, k9_bvfunc_1(A, E, C), B, F)), k7_bvfunc_2(A, k2_bvfunc_1(A, C, k1_bvfunc_1(A, D)), B, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_bvfunc_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r1_bvfunc_1(A, B, k9_bvfunc_1(A, C, D)) => r1_bvfunc_1(A, k2_bvfunc_1(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t2_bvfunc_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r1_bvfunc_1(A, k2_bvfunc_1(A, B, C), D) => r1_bvfunc_1(A, B, k9_bvfunc_1(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t3_bvfunc_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc_1(A, B, k2_bvfunc_1(A, B, C)), B)) ) ) ) ) ) ).
fof(t4_bvfunc_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k2_bvfunc_1(A, B, k5_bvfunc_1(A, B, C)), B)) ) ) ) ) ) ).
fof(t5_bvfunc_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k2_bvfunc_1(A, B, k1_bvfunc_1(A, B)), k11_bvfunc_1(A))) ) ) ) ).
fof(t6_bvfunc_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc_1(A, B, k1_bvfunc_1(A, B)), k12_bvfunc_1(A))) ) ) ) ).
fof(t7_bvfunc_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, B, C), k2_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, C, B)))) ) ) ) ) ) ).
fof(t8_bvfunc_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, C), k5_bvfunc_1(A, k1_bvfunc_1(A, B), C))) ) ) ) ) ) ).
fof(t9_bvfunc_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k6_bvfunc_1(A, B, C), k5_bvfunc_1(A, k2_bvfunc_1(A, k1_bvfunc_1(A, B), C), k2_bvfunc_1(A, B, k1_bvfunc_1(A, C))))) ) ) ) ) ) ).
fof(t10_bvfunc_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, B, C), k12_bvfunc_1(A)) <=>  (r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, C), k12_bvfunc_1(A)) & r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, C, B), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ).
fof(t11_bvfunc_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, B, C), k12_bvfunc_1(A)) => r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, k1_bvfunc_1(A, B), k1_bvfunc_1(A, C)), k12_bvfunc_1(A))) ) ) ) ) ) ) ).
fof(t12_bvfunc_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  ( (r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, B, C), k12_bvfunc_1(A)) & r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, D, E), k12_bvfunc_1(A)))  => r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, k2_bvfunc_1(A, B, D), k2_bvfunc_1(A, C, E)), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_bvfunc_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  ( (r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, B, C), k12_bvfunc_1(A)) & r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, D, E), k12_bvfunc_1(A)))  => r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, k9_bvfunc_1(A, B, D), k9_bvfunc_1(A, C, E)), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_bvfunc_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  ( (r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, B, C), k12_bvfunc_1(A)) & r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, D, E), k12_bvfunc_1(A)))  => r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, k5_bvfunc_1(A, B, D), k5_bvfunc_1(A, C, E)), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_bvfunc_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  ( (r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, B, C), k12_bvfunc_1(A)) & r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, D, E), k12_bvfunc_1(A)))  => r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, k10_bvfunc_1(A, B, D), k10_bvfunc_1(A, C, E)), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_bvfunc_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [E] :  (m1_eqrel_1(E, A) => r2_funct_2(A, k5_margrel1, k6_bvfunc_2(A, k10_bvfunc_1(A, B, C), D, E), k2_bvfunc_1(A, k6_bvfunc_2(A, k9_bvfunc_1(A, B, C), D, E), k6_bvfunc_2(A, k9_bvfunc_1(A, C, B), D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t17_bvfunc_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, B, C, D), k7_bvfunc_2(A, B, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t18_bvfunc_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, C), k12_bvfunc_1(A)) => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k6_bvfunc_2(A, B, D, E), C), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_bvfunc_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (r3_bvfunc_2(A, B, C, D) => r1_bvfunc_1(A, k7_bvfunc_2(A, B, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t20_bvfunc_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (r3_bvfunc_2(A, B, C, D) => r1_bvfunc_1(A, B, k6_bvfunc_2(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t21_bvfunc_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (r3_bvfunc_2(A, B, C, E) => r1_bvfunc_1(A, k6_bvfunc_2(A, B, C, D), k6_bvfunc_2(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_bvfunc_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (r3_bvfunc_2(A, B, C, D) => r1_bvfunc_1(A, k7_bvfunc_2(A, B, C, D), k7_bvfunc_2(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_bvfunc_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, k10_bvfunc_1(A, B, C), D, E), k10_bvfunc_1(A, k6_bvfunc_2(A, B, D, E), k6_bvfunc_2(A, C, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t24_bvfunc_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k6_bvfunc_2(A, k2_bvfunc_1(A, B, C), D, E), k2_bvfunc_1(A, B, k6_bvfunc_2(A, C, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t25_bvfunc_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [E] :  (m1_eqrel_1(E, A) => r1_bvfunc_1(A, k9_bvfunc_1(A, k6_bvfunc_2(A, B, D, E), C), k7_bvfunc_2(A, k9_bvfunc_1(A, B, C), D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t26_bvfunc_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, B, C), k12_bvfunc_1(A)) => r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, k6_bvfunc_2(A, B, D, E), k6_bvfunc_2(A, C, D, E)), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_bvfunc_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, B, C), k12_bvfunc_1(A)) => r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, k7_bvfunc_2(A, B, D, E), k7_bvfunc_2(A, C, D, E)), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  ( (r2_funct_2(A, k5_margrel1, B, k12_bvfunc_1(A)) & r2_funct_2(A, k5_margrel1, C, k12_bvfunc_1(A)))  <=> r2_funct_2(A, k5_margrel1, k2_bvfunc_1(A, B, C), k12_bvfunc_1(A))) ) ) ) ) ) ) ).
fof(t2_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k12_bvfunc_1(A), B), k12_bvfunc_1(A)) => r2_funct_2(A, k5_margrel1, B, k12_bvfunc_1(A))) ) ) ) ) ).
fof(t3_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r2_funct_2(A, k5_margrel1, B, k12_bvfunc_1(A)) => r2_funct_2(A, k5_margrel1, k5_bvfunc_1(A, B, C), k12_bvfunc_1(A))) ) ) ) ) ) ) ).
fof(t4_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r2_funct_2(A, k5_margrel1, C, k12_bvfunc_1(A)) => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, C), k12_bvfunc_1(A))) ) ) ) ) ) ) ).
fof(t5_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r2_funct_2(A, k5_margrel1, k1_bvfunc_1(A, B), k12_bvfunc_1(A)) => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, C), k12_bvfunc_1(A))) ) ) ) ) ) ) ).
fof(t6_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k1_bvfunc_1(A, k2_bvfunc_1(A, B, k1_bvfunc_1(A, B))), k12_bvfunc_1(A))) ) ) ) ).
fof(t7_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, B), k12_bvfunc_1(A))) ) ) ) ).
fof(t8_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, C), k12_bvfunc_1(A)) <=> r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k1_bvfunc_1(A, C), k1_bvfunc_1(A, B)), k12_bvfunc_1(A))) ) ) ) ) ) ) ).
fof(t9_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  ( (r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, C), k12_bvfunc_1(A)) & r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, C, D), k12_bvfunc_1(A)))  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, D), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ) ).
fof(t10_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  ( (r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, C), k12_bvfunc_1(A)) & r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, k1_bvfunc_1(A, C)), k12_bvfunc_1(A)))  => r2_funct_2(A, k5_margrel1, k1_bvfunc_1(A, B), k12_bvfunc_1(A))) ) ) ) ) ) ) ).
fof(t11_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k9_bvfunc_1(A, k1_bvfunc_1(A, B), B), B), k12_bvfunc_1(A))) ) ) ) ).
fof(t12_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, k1_bvfunc_1(A, k2_bvfunc_1(A, C, D)), k1_bvfunc_1(A, k2_bvfunc_1(A, B, D)))), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ).
fof(t13_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, k9_bvfunc_1(A, C, D), k9_bvfunc_1(A, B, D))), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ).
fof(t14_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, C), k12_bvfunc_1(A)) => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k9_bvfunc_1(A, C, D), k9_bvfunc_1(A, B, D)), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ) ).
fof(t15_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, C, k9_bvfunc_1(A, B, C)), k12_bvfunc_1(A))) ) ) ) ) ) ).
fof(t16_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k9_bvfunc_1(A, k9_bvfunc_1(A, B, C), D), k9_bvfunc_1(A, C, D)), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ).
fof(t17_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, C, k9_bvfunc_1(A, k9_bvfunc_1(A, C, B), B)), k12_bvfunc_1(A))) ) ) ) ) ) ).
fof(t18_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k9_bvfunc_1(A, D, k9_bvfunc_1(A, C, B)), k9_bvfunc_1(A, C, k9_bvfunc_1(A, D, B))), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ).
fof(t19_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k9_bvfunc_1(A, C, D), k9_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, B, D))), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ).
fof(t20_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k9_bvfunc_1(A, C, k9_bvfunc_1(A, C, D)), k9_bvfunc_1(A, C, D)), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ).
fof(t21_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k9_bvfunc_1(A, B, k9_bvfunc_1(A, C, D)), k9_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, B, D))), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ).
fof(t22_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r2_funct_2(A, k5_margrel1, B, k12_bvfunc_1(A)) => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k9_bvfunc_1(A, B, C), C), k12_bvfunc_1(A))) ) ) ) ) ) ) ).
fof(t23_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, D, k9_bvfunc_1(A, C, B)), k12_bvfunc_1(A)) => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, C, k9_bvfunc_1(A, D, B)), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ) ).
fof(t24_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  ( (r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, D, k9_bvfunc_1(A, C, B)), k12_bvfunc_1(A)) & r2_funct_2(A, k5_margrel1, C, k12_bvfunc_1(A)))  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, D, B), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ) ).
fof(t25_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k12_bvfunc_1(A), k9_bvfunc_1(A, k12_bvfunc_1(A), B)), k12_bvfunc_1(A)) => r2_funct_2(A, k5_margrel1, B, k12_bvfunc_1(A))) ) ) ) ) ).
fof(t26_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, k9_bvfunc_1(A, B, C)), k12_bvfunc_1(A)) => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, C), k12_bvfunc_1(A))) ) ) ) ) ) ) ).
fof(t27_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, k9_bvfunc_1(A, C, D)), k12_bvfunc_1(A)) => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, B, D)), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ) ).
fof(t28_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  ( (r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, k9_bvfunc_1(A, C, D)), k12_bvfunc_1(A)) & r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, C), k12_bvfunc_1(A)))  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, D), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ) ).
fof(t29_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  ( (r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, k9_bvfunc_1(A, C, D)), k12_bvfunc_1(A)) &  (r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, C), k12_bvfunc_1(A)) & r2_funct_2(A, k5_margrel1, B, k12_bvfunc_1(A))) )  => r2_funct_2(A, k5_margrel1, D, k12_bvfunc_1(A))) ) ) ) ) ) ) ) ) ).
fof(t30_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  ( (r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, k9_bvfunc_1(A, C, D)), k12_bvfunc_1(A)) & r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, k9_bvfunc_1(A, D, E)), k12_bvfunc_1(A)))  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, k9_bvfunc_1(A, C, E)), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k9_bvfunc_1(A, k1_bvfunc_1(A, B), k1_bvfunc_1(A, C)), k9_bvfunc_1(A, C, B)), k12_bvfunc_1(A))) ) ) ) ) ) ).
fof(t32_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, k1_bvfunc_1(A, C), k1_bvfunc_1(A, B))), k12_bvfunc_1(A))) ) ) ) ) ) ).
fof(t33_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k9_bvfunc_1(A, B, k1_bvfunc_1(A, C)), k9_bvfunc_1(A, C, k1_bvfunc_1(A, B))), k12_bvfunc_1(A))) ) ) ) ) ) ).
fof(t34_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k9_bvfunc_1(A, k1_bvfunc_1(A, B), C), k9_bvfunc_1(A, k1_bvfunc_1(A, C), B)), k12_bvfunc_1(A))) ) ) ) ) ) ).
fof(t35_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k9_bvfunc_1(A, B, k1_bvfunc_1(A, B)), k1_bvfunc_1(A, B)), k12_bvfunc_1(A))) ) ) ) ).
fof(t36_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k1_bvfunc_1(A, B), k9_bvfunc_1(A, B, C)), k12_bvfunc_1(A))) ) ) ) ) ) ).
fof(t37_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k1_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, B, C), D)), k5_bvfunc_1(A, k5_bvfunc_1(A, k1_bvfunc_1(A, B), k1_bvfunc_1(A, C)), k1_bvfunc_1(A, D)))) ) ) ) ) ) ) ) ).
fof(t38_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k1_bvfunc_1(A, k5_bvfunc_1(A, k5_bvfunc_1(A, B, C), D)), k2_bvfunc_1(A, k2_bvfunc_1(A, k1_bvfunc_1(A, B), k1_bvfunc_1(A, C)), k1_bvfunc_1(A, D)))) ) ) ) ) ) ) ) ).
fof(t39_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc_1(A, B, k2_bvfunc_1(A, k2_bvfunc_1(A, C, D), E)), k2_bvfunc_1(A, k2_bvfunc_1(A, k5_bvfunc_1(A, B, C), k5_bvfunc_1(A, B, D)), k5_bvfunc_1(A, B, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t40_bvfunc_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k2_bvfunc_1(A, B, k5_bvfunc_1(A, k5_bvfunc_1(A, C, D), E)), k5_bvfunc_1(A, k5_bvfunc_1(A, k2_bvfunc_1(A, B, C), k2_bvfunc_1(A, B, D)), k2_bvfunc_1(A, B, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t1_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, k9_bvfunc_1(A, C, k2_bvfunc_1(A, B, C))), k12_bvfunc_1(A))) ) ) ) ) ) ).
fof(t2_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, k9_bvfunc_1(A, C, B), k10_bvfunc_1(A, B, C))), k12_bvfunc_1(A))) ) ) ) ) ) ).
fof(t3_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, k5_bvfunc_1(A, B, C), k5_bvfunc_1(A, C, B)), k12_bvfunc_1(A))) ) ) ) ) ) ).
fof(t4_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k9_bvfunc_1(A, k2_bvfunc_1(A, B, C), D), k9_bvfunc_1(A, B, k9_bvfunc_1(A, C, D))), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ).
fof(t5_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k9_bvfunc_1(A, B, k9_bvfunc_1(A, C, D)), k9_bvfunc_1(A, k2_bvfunc_1(A, B, C), D)), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ).
fof(t6_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k9_bvfunc_1(A, D, B), k9_bvfunc_1(A, k9_bvfunc_1(A, D, C), k9_bvfunc_1(A, D, k2_bvfunc_1(A, B, C)))), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ).
fof(t7_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k9_bvfunc_1(A, k5_bvfunc_1(A, B, C), D), k5_bvfunc_1(A, k9_bvfunc_1(A, B, D), k9_bvfunc_1(A, C, D))), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ).
fof(t8_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k9_bvfunc_1(A, B, D), k9_bvfunc_1(A, k9_bvfunc_1(A, C, D), k9_bvfunc_1(A, k5_bvfunc_1(A, B, C), D))), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ).
fof(t9_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, B, D), k9_bvfunc_1(A, C, D)), k9_bvfunc_1(A, k5_bvfunc_1(A, B, C), D)), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ).
fof(t10_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k9_bvfunc_1(A, B, k2_bvfunc_1(A, C, k1_bvfunc_1(A, C))), k1_bvfunc_1(A, B)), k12_bvfunc_1(A))) ) ) ) ) ) ).
fof(t11_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k2_bvfunc_1(A, k5_bvfunc_1(A, B, C), k5_bvfunc_1(A, B, D)), k5_bvfunc_1(A, B, k2_bvfunc_1(A, C, D))), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ).
fof(t12_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k2_bvfunc_1(A, B, k5_bvfunc_1(A, C, D)), k5_bvfunc_1(A, k2_bvfunc_1(A, B, C), k2_bvfunc_1(A, B, D))), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ).
fof(t13_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k2_bvfunc_1(A, k5_bvfunc_1(A, B, D), k5_bvfunc_1(A, C, D)), k5_bvfunc_1(A, k2_bvfunc_1(A, B, C), D)), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ).
fof(t14_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k2_bvfunc_1(A, k5_bvfunc_1(A, B, C), D), k5_bvfunc_1(A, k2_bvfunc_1(A, B, D), k2_bvfunc_1(A, C, D))), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ).
fof(t15_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r2_funct_2(A, k5_margrel1, k2_bvfunc_1(A, B, C), k12_bvfunc_1(A)) => r2_funct_2(A, k5_margrel1, k5_bvfunc_1(A, B, C), k12_bvfunc_1(A))) ) ) ) ) ) ) ).
fof(t16_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, C), k12_bvfunc_1(A)) => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k5_bvfunc_1(A, B, D), k5_bvfunc_1(A, C, D)), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ) ).
fof(t17_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, C), k12_bvfunc_1(A)) => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k2_bvfunc_1(A, B, D), k2_bvfunc_1(A, C, D)), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ) ).
fof(t18_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  ( (r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, D, B), k12_bvfunc_1(A)) & r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, D, C), k12_bvfunc_1(A)))  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, D, k2_bvfunc_1(A, B, C)), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ) ).
fof(t19_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  ( (r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, D), k12_bvfunc_1(A)) & r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, C, D), k12_bvfunc_1(A)))  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k5_bvfunc_1(A, B, C), D), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ) ).
fof(t20_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  ( (r2_funct_2(A, k5_margrel1, k5_bvfunc_1(A, B, C), k12_bvfunc_1(A)) & r2_funct_2(A, k5_margrel1, k1_bvfunc_1(A, B), k12_bvfunc_1(A)))  => r2_funct_2(A, k5_margrel1, C, k12_bvfunc_1(A))) ) ) ) ) ) ) ).
fof(t21_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  ( (r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, C), k12_bvfunc_1(A)) & r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, D, E), k12_bvfunc_1(A)))  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k2_bvfunc_1(A, B, D), k2_bvfunc_1(A, C, E)), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  ( (r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, C), k12_bvfunc_1(A)) & r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, D, E), k12_bvfunc_1(A)))  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k5_bvfunc_1(A, B, D), k5_bvfunc_1(A, C, E)), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k2_bvfunc_1(A, B, k1_bvfunc_1(A, C)), k1_bvfunc_1(A, B)), k12_bvfunc_1(A)) => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, C), k12_bvfunc_1(A))) ) ) ) ) ) ) ).
fof(t24_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, k1_bvfunc_1(A, C)), k12_bvfunc_1(A)) => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, C, k1_bvfunc_1(A, B)), k12_bvfunc_1(A))) ) ) ) ) ) ) ).
fof(t25_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k1_bvfunc_1(A, B), C), k12_bvfunc_1(A)) => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k1_bvfunc_1(A, C), B), k12_bvfunc_1(A))) ) ) ) ) ) ) ).
fof(t26_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, k5_bvfunc_1(A, B, C)), k12_bvfunc_1(A))) ) ) ) ) ) ).
fof(t27_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k5_bvfunc_1(A, B, C), k9_bvfunc_1(A, k1_bvfunc_1(A, B), C)), k12_bvfunc_1(A))) ) ) ) ) ) ).
fof(t28_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k1_bvfunc_1(A, k5_bvfunc_1(A, B, C)), k2_bvfunc_1(A, k1_bvfunc_1(A, B), k1_bvfunc_1(A, C))), k12_bvfunc_1(A))) ) ) ) ) ) ).
fof(t29_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k2_bvfunc_1(A, k1_bvfunc_1(A, B), k1_bvfunc_1(A, C)), k1_bvfunc_1(A, k5_bvfunc_1(A, B, C))), k12_bvfunc_1(A))) ) ) ) ) ) ).
fof(t30_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k1_bvfunc_1(A, k5_bvfunc_1(A, B, C)), k1_bvfunc_1(A, B)), k12_bvfunc_1(A))) ) ) ) ) ) ).
fof(t31_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k5_bvfunc_1(A, B, B), B), k12_bvfunc_1(A))) ) ) ) ).
fof(t32_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k2_bvfunc_1(A, B, k1_bvfunc_1(A, B)), C), k12_bvfunc_1(A))) ) ) ) ) ) ).
fof(t33_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k9_bvfunc_1(A, B, C), k5_bvfunc_1(A, k1_bvfunc_1(A, B), C)), k12_bvfunc_1(A))) ) ) ) ) ) ).
fof(t34_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k2_bvfunc_1(A, B, C), k1_bvfunc_1(A, k9_bvfunc_1(A, B, k1_bvfunc_1(A, C)))), k12_bvfunc_1(A))) ) ) ) ) ) ).
fof(t35_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k1_bvfunc_1(A, k9_bvfunc_1(A, B, k1_bvfunc_1(A, C))), k2_bvfunc_1(A, B, C)), k12_bvfunc_1(A))) ) ) ) ) ) ).
fof(t36_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k1_bvfunc_1(A, k2_bvfunc_1(A, B, C)), k5_bvfunc_1(A, k1_bvfunc_1(A, B), k1_bvfunc_1(A, C))), k12_bvfunc_1(A))) ) ) ) ) ) ).
fof(t37_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k5_bvfunc_1(A, k1_bvfunc_1(A, B), k1_bvfunc_1(A, C)), k1_bvfunc_1(A, k2_bvfunc_1(A, B, C))), k12_bvfunc_1(A))) ) ) ) ) ) ).
fof(t38_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k2_bvfunc_1(A, B, C), B), k12_bvfunc_1(A))) ) ) ) ) ) ).
fof(t39_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k2_bvfunc_1(A, B, C), k5_bvfunc_1(A, B, C)), k12_bvfunc_1(A))) ) ) ) ) ) ).
fof(t40_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k2_bvfunc_1(A, B, C), C), k12_bvfunc_1(A))) ) ) ) ) ) ).
fof(t41_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, k2_bvfunc_1(A, B, B)), k12_bvfunc_1(A))) ) ) ) ).
fof(t42_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k10_bvfunc_1(A, B, C), k9_bvfunc_1(A, B, C)), k12_bvfunc_1(A))) ) ) ) ) ) ).
fof(t43_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k10_bvfunc_1(A, B, C), k9_bvfunc_1(A, C, B)), k12_bvfunc_1(A))) ) ) ) ) ) ).
fof(t44_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k5_bvfunc_1(A, k5_bvfunc_1(A, B, C), D), k5_bvfunc_1(A, B, k5_bvfunc_1(A, C, D))), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ).
fof(t45_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, B, C), D), k2_bvfunc_1(A, B, k2_bvfunc_1(A, C, D))), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ).
fof(t46_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k5_bvfunc_1(A, B, k5_bvfunc_1(A, C, D)), k5_bvfunc_1(A, k5_bvfunc_1(A, B, C), D)), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ).
fof(t47_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k2_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, k1_bvfunc_1(A, B), C)), C)) ) ) ) ) ) ).
fof(t48_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k2_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, B, k1_bvfunc_1(A, C))), k1_bvfunc_1(A, B))) ) ) ) ) ) ).
fof(t49_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, k5_bvfunc_1(A, C, D)), k5_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t50_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, k2_bvfunc_1(A, C, D)), k2_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t51_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k5_bvfunc_1(A, B, C), D), k2_bvfunc_1(A, k9_bvfunc_1(A, B, D), k9_bvfunc_1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t52_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k2_bvfunc_1(A, B, C), D), k5_bvfunc_1(A, k9_bvfunc_1(A, B, D), k9_bvfunc_1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t53_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k2_bvfunc_1(A, B, C), D), k9_bvfunc_1(A, B, k9_bvfunc_1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t54_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k2_bvfunc_1(A, B, C), D), k9_bvfunc_1(A, B, k5_bvfunc_1(A, k1_bvfunc_1(A, C), D)))) ) ) ) ) ) ) ) ).
fof(t55_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, k5_bvfunc_1(A, C, D)), k9_bvfunc_1(A, k2_bvfunc_1(A, B, k1_bvfunc_1(A, C)), D))) ) ) ) ) ) ) ) ).
fof(t56_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k2_bvfunc_1(A, B, k9_bvfunc_1(A, B, C)), k2_bvfunc_1(A, B, C))) ) ) ) ) ) ).
fof(t57_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k2_bvfunc_1(A, k9_bvfunc_1(A, B, C), k1_bvfunc_1(A, C)), k2_bvfunc_1(A, k1_bvfunc_1(A, B), k1_bvfunc_1(A, C)))) ) ) ) ) ) ).
fof(t58_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k2_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, C, D)), k2_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, C, D)), k9_bvfunc_1(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t59_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k12_bvfunc_1(A), B), B)) ) ) ) ).
fof(t60_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, k11_bvfunc_1(A)), k1_bvfunc_1(A, B))) ) ) ) ).
fof(t61_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k11_bvfunc_1(A), B), k12_bvfunc_1(A))) ) ) ) ).
fof(t62_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, k12_bvfunc_1(A)), k12_bvfunc_1(A))) ) ) ) ).
fof(t63_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, k1_bvfunc_1(A, B)), k1_bvfunc_1(A, B))) ) ) ) ).
fof(t64_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, k9_bvfunc_1(A, D, B), k9_bvfunc_1(A, D, C)))) ) ) ) ) ) ) ) ).
fof(t65_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k10_bvfunc_1(A, B, C), k10_bvfunc_1(A, k10_bvfunc_1(A, B, D), k10_bvfunc_1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t66_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k10_bvfunc_1(A, B, C), k10_bvfunc_1(A, k9_bvfunc_1(A, B, D), k9_bvfunc_1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t67_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k10_bvfunc_1(A, B, C), k10_bvfunc_1(A, k9_bvfunc_1(A, D, B), k9_bvfunc_1(A, D, C)))) ) ) ) ) ) ) ) ).
fof(t68_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k10_bvfunc_1(A, B, C), k10_bvfunc_1(A, k2_bvfunc_1(A, B, D), k2_bvfunc_1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t69_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k10_bvfunc_1(A, B, C), k10_bvfunc_1(A, k5_bvfunc_1(A, B, D), k5_bvfunc_1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t70_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, B, k10_bvfunc_1(A, k10_bvfunc_1(A, k10_bvfunc_1(A, B, C), k10_bvfunc_1(A, C, B)), B))) ) ) ) ) ) ).
fof(t71_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, B, k10_bvfunc_1(A, k9_bvfunc_1(A, B, C), C))) ) ) ) ) ) ).
fof(t72_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, B, k10_bvfunc_1(A, k9_bvfunc_1(A, C, B), B))) ) ) ) ) ) ).
fof(t73_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, B, k10_bvfunc_1(A, k10_bvfunc_1(A, k2_bvfunc_1(A, B, C), k2_bvfunc_1(A, C, B)), B))) ) ) ) ) ) ).
fof(t74_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, k2_bvfunc_1(A, k2_bvfunc_1(A, C, D), E)), k2_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, B, D)), k9_bvfunc_1(A, B, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t75_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, k5_bvfunc_1(A, k5_bvfunc_1(A, C, D), E)), k5_bvfunc_1(A, k5_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, B, D)), k9_bvfunc_1(A, B, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t76_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, B, C), D), E), k5_bvfunc_1(A, k5_bvfunc_1(A, k9_bvfunc_1(A, B, E), k9_bvfunc_1(A, C, E)), k9_bvfunc_1(A, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t77_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k5_bvfunc_1(A, k5_bvfunc_1(A, B, C), D), E), k2_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, B, E), k9_bvfunc_1(A, C, E)), k9_bvfunc_1(A, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t78_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k2_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, C, D)), k9_bvfunc_1(A, D, B)), k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, C, D)), k9_bvfunc_1(A, D, B)), k9_bvfunc_1(A, C, B)), k9_bvfunc_1(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t79_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, B, k5_bvfunc_1(A, k2_bvfunc_1(A, B, C), k2_bvfunc_1(A, B, k1_bvfunc_1(A, C))))) ) ) ) ) ) ).
fof(t80_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, B, k2_bvfunc_1(A, k5_bvfunc_1(A, B, C), k5_bvfunc_1(A, B, k1_bvfunc_1(A, C))))) ) ) ) ) ) ).
fof(t81_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, B, k5_bvfunc_1(A, k5_bvfunc_1(A, k5_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, B, C), D), k2_bvfunc_1(A, k2_bvfunc_1(A, B, C), k1_bvfunc_1(A, D))), k2_bvfunc_1(A, k2_bvfunc_1(A, B, k1_bvfunc_1(A, C)), D)), k2_bvfunc_1(A, k2_bvfunc_1(A, B, k1_bvfunc_1(A, C)), k1_bvfunc_1(A, D))))) ) ) ) ) ) ) ) ).
fof(t82_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, B, k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k5_bvfunc_1(A, k5_bvfunc_1(A, B, C), D), k5_bvfunc_1(A, k5_bvfunc_1(A, B, C), k1_bvfunc_1(A, D))), k5_bvfunc_1(A, k5_bvfunc_1(A, B, k1_bvfunc_1(A, C)), D)), k5_bvfunc_1(A, k5_bvfunc_1(A, B, k1_bvfunc_1(A, C)), k1_bvfunc_1(A, D))))) ) ) ) ) ) ) ) ).
fof(t83_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k2_bvfunc_1(A, B, C), k2_bvfunc_1(A, B, k5_bvfunc_1(A, k1_bvfunc_1(A, B), C)))) ) ) ) ) ) ).
fof(t84_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc_1(A, B, C), k5_bvfunc_1(A, B, k2_bvfunc_1(A, k1_bvfunc_1(A, B), C)))) ) ) ) ) ) ).
fof(t85_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k6_bvfunc_1(A, B, C), k1_bvfunc_1(A, k10_bvfunc_1(A, B, C)))) ) ) ) ) ) ).
fof(t86_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k6_bvfunc_1(A, B, C), k2_bvfunc_1(A, k5_bvfunc_1(A, B, C), k5_bvfunc_1(A, k1_bvfunc_1(A, B), k1_bvfunc_1(A, C))))) ) ) ) ) ) ).
fof(t87_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k6_bvfunc_1(A, B, k12_bvfunc_1(A)), k1_bvfunc_1(A, B))) ) ) ) ).
fof(t88_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k6_bvfunc_1(A, B, k11_bvfunc_1(A)), B)) ) ) ) ).
fof(t89_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k6_bvfunc_1(A, B, C), k6_bvfunc_1(A, k1_bvfunc_1(A, B), k1_bvfunc_1(A, C)))) ) ) ) ) ) ).
fof(t90_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k1_bvfunc_1(A, k6_bvfunc_1(A, B, C)), k6_bvfunc_1(A, B, k1_bvfunc_1(A, C)))) ) ) ) ) ) ).
fof(t91_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, B, C), k2_bvfunc_1(A, k5_bvfunc_1(A, B, k1_bvfunc_1(A, C)), k5_bvfunc_1(A, k1_bvfunc_1(A, B), C)))) ) ) ) ) ) ).
fof(t92_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, B, C), k5_bvfunc_1(A, k2_bvfunc_1(A, B, C), k2_bvfunc_1(A, k1_bvfunc_1(A, B), k1_bvfunc_1(A, C))))) ) ) ) ) ) ).
fof(t93_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, B, k12_bvfunc_1(A)), B)) ) ) ) ).
fof(t94_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k10_bvfunc_1(A, B, k11_bvfunc_1(A)), k1_bvfunc_1(A, B))) ) ) ) ).
fof(t95_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k1_bvfunc_1(A, k10_bvfunc_1(A, B, C)), k10_bvfunc_1(A, B, k1_bvfunc_1(A, C)))) ) ) ) ) ) ).
fof(t96_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k1_bvfunc_1(A, B), k10_bvfunc_1(A, k9_bvfunc_1(A, B, C), k1_bvfunc_1(A, B)))) ) ) ) ) ) ).
fof(t97_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k1_bvfunc_1(A, B), k10_bvfunc_1(A, k9_bvfunc_1(A, C, B), k1_bvfunc_1(A, C)))) ) ) ) ) ) ).
fof(t98_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, B, k10_bvfunc_1(A, k10_bvfunc_1(A, k5_bvfunc_1(A, B, C), k5_bvfunc_1(A, C, B)), B))) ) ) ) ) ) ).
fof(t99_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, k10_bvfunc_1(A, k1_bvfunc_1(A, B), k1_bvfunc_1(A, B))), k12_bvfunc_1(A))) ) ) ) ).
fof(t100_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k9_bvfunc_1(A, k9_bvfunc_1(A, B, C), B), B), k12_bvfunc_1(A))) ) ) ) ) ) ).
fof(t101_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, B, D), k9_bvfunc_1(A, C, E)), k5_bvfunc_1(A, k1_bvfunc_1(A, D), k1_bvfunc_1(A, E))), k5_bvfunc_1(A, k1_bvfunc_1(A, B), k1_bvfunc_1(A, C))), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ) ) ).
fof(t102_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, k9_bvfunc_1(A, B, k9_bvfunc_1(A, C, D)), k9_bvfunc_1(A, B, D))), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ).
fof(t103_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k2_bvfunc_1(A, k5_bvfunc_1(A, B, C), k9_bvfunc_1(A, C, D)), k5_bvfunc_1(A, B, D))) ) ) ) ) ) ) ) ).
fof(t104_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k2_bvfunc_1(A, B, k9_bvfunc_1(A, B, C)), C)) ) ) ) ) ) ).
fof(t105_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, B, C), k1_bvfunc_1(A, C)), k1_bvfunc_1(A, B))) ) ) ) ) ) ).
fof(t106_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k2_bvfunc_1(A, k5_bvfunc_1(A, B, C), k1_bvfunc_1(A, B)), C)) ) ) ) ) ) ).
fof(t107_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, k1_bvfunc_1(A, B), C)), C)) ) ) ) ) ) ).
fof(t108_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, B, k1_bvfunc_1(A, C))), k1_bvfunc_1(A, B))) ) ) ) ) ) ).
fof(t109_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k9_bvfunc_1(A, B, k2_bvfunc_1(A, C, D)), k9_bvfunc_1(A, B, C))) ) ) ) ) ) ) ) ).
fof(t110_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k9_bvfunc_1(A, k5_bvfunc_1(A, B, C), D), k9_bvfunc_1(A, B, D))) ) ) ) ) ) ) ) ).
fof(t111_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, k2_bvfunc_1(A, B, D), C))) ) ) ) ) ) ) ) ).
fof(t112_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, k2_bvfunc_1(A, B, D), k2_bvfunc_1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t113_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, B, k5_bvfunc_1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t114_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, k5_bvfunc_1(A, B, D), k5_bvfunc_1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t115_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k5_bvfunc_1(A, k2_bvfunc_1(A, B, C), D), k5_bvfunc_1(A, B, D))) ) ) ) ) ) ) ) ).
fof(t116_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k5_bvfunc_1(A, k2_bvfunc_1(A, B, C), k2_bvfunc_1(A, D, E)), k5_bvfunc_1(A, B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t117_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, k1_bvfunc_1(A, B), D)), k5_bvfunc_1(A, C, D))) ) ) ) ) ) ) ) ).
fof(t118_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, B, D), k9_bvfunc_1(A, C, k1_bvfunc_1(A, D))), k5_bvfunc_1(A, k1_bvfunc_1(A, B), k1_bvfunc_1(A, C)))) ) ) ) ) ) ) ) ).
fof(t119_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k2_bvfunc_1(A, k5_bvfunc_1(A, B, C), k5_bvfunc_1(A, k1_bvfunc_1(A, B), D)), k5_bvfunc_1(A, C, D))) ) ) ) ) ) ) ) ).
fof(t120_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, D, E)), k9_bvfunc_1(A, k2_bvfunc_1(A, B, D), k2_bvfunc_1(A, C, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t121_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, B, D)), k9_bvfunc_1(A, B, k2_bvfunc_1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t122_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, B, D), k9_bvfunc_1(A, C, D)), k9_bvfunc_1(A, k5_bvfunc_1(A, B, C), D))) ) ) ) ) ) ) ) ).
fof(t123_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, D, E)), k9_bvfunc_1(A, k5_bvfunc_1(A, B, D), k5_bvfunc_1(A, C, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t124_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, B, D)), k9_bvfunc_1(A, B, k5_bvfunc_1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t125_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, k5_margrel1) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, k5_margrel1) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, C, F), k9_bvfunc_1(A, D, G)), k5_bvfunc_1(A, k5_bvfunc_1(A, B, C), D)), k1_bvfunc_1(A, k2_bvfunc_1(A, E, F))), k1_bvfunc_1(A, k2_bvfunc_1(A, E, G))), k9_bvfunc_1(A, E, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t126_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, k5_margrel1) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, k5_margrel1) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, B, E), k9_bvfunc_1(A, C, F)), k9_bvfunc_1(A, D, G)), k5_bvfunc_1(A, k5_bvfunc_1(A, B, C), D)), k1_bvfunc_1(A, k2_bvfunc_1(A, E, F))), k1_bvfunc_1(A, k2_bvfunc_1(A, E, G))), k1_bvfunc_1(A, k2_bvfunc_1(A, F, G))), k2_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, E, B), k9_bvfunc_1(A, F, C)), k9_bvfunc_1(A, G, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t127_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, B, D), k9_bvfunc_1(A, C, E)), k1_bvfunc_1(A, k2_bvfunc_1(A, D, E))), k1_bvfunc_1(A, k2_bvfunc_1(A, B, C))), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ) ) ).
fof(t128_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, k5_margrel1) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, k5_margrel1) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, B, E), k9_bvfunc_1(A, C, F)), k9_bvfunc_1(A, D, G)), k1_bvfunc_1(A, k2_bvfunc_1(A, E, F))), k1_bvfunc_1(A, k2_bvfunc_1(A, E, G))), k1_bvfunc_1(A, k2_bvfunc_1(A, F, G))), k2_bvfunc_1(A, k2_bvfunc_1(A, k1_bvfunc_1(A, k2_bvfunc_1(A, B, C)), k1_bvfunc_1(A, k2_bvfunc_1(A, B, D))), k1_bvfunc_1(A, k2_bvfunc_1(A, C, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t129_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k2_bvfunc_1(A, B, C), B)) ) ) ) ) ) ).
fof(t130_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r1_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, B, C), D), B) & r1_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, B, C), D), C)) ) ) ) ) ) ) ) ) ).
fof(t131_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r1_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, B, C), D), E), B) & r1_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, B, C), D), E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t132_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, k5_margrel1) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r1_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, B, C), D), E), F), B) & r1_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, B, C), D), E), F), C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t133_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, k5_margrel1) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, k5_margrel1) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r1_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, B, C), D), E), F), G), B) & r1_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, B, C), D), E), F), G), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t134_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, k5_margrel1) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, k5_margrel1) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, A, k5_margrel1) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r1_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, B, C), D), E), F), G), H), B) & r1_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, B, C), D), E), F), G), H), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t135_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  ( (r1_bvfunc_1(A, B, C) & r1_bvfunc_1(A, D, E))  => r1_bvfunc_1(A, k2_bvfunc_1(A, B, D), k2_bvfunc_1(A, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t136_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r1_bvfunc_1(A, k2_bvfunc_1(A, B, C), D) => r1_bvfunc_1(A, k2_bvfunc_1(A, B, k1_bvfunc_1(A, D)), k1_bvfunc_1(A, C))) ) ) ) ) ) ) ) ) ).
fof(t137_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, B, D), k9_bvfunc_1(A, C, D)), k5_bvfunc_1(A, B, C)), D)) ) ) ) ) ) ) ) ).
fof(t138_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k2_bvfunc_1(A, k5_bvfunc_1(A, k9_bvfunc_1(A, B, D), k9_bvfunc_1(A, C, D)), k2_bvfunc_1(A, B, C)), D)) ) ) ) ) ) ) ) ).
fof(t139_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  ( (r1_bvfunc_1(A, B, C) & r1_bvfunc_1(A, D, E))  => r1_bvfunc_1(A, k5_bvfunc_1(A, B, D), k5_bvfunc_1(A, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t140_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, B, k5_bvfunc_1(A, B, C))) ) ) ) ) ) ).
fof(t141_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k2_bvfunc_1(A, B, C), k5_bvfunc_1(A, B, C))) ) ) ) ) ) ).
fof(t142_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc_1(A, k5_bvfunc_1(A, k2_bvfunc_1(A, B, C), k2_bvfunc_1(A, C, D)), k2_bvfunc_1(A, D, B)), k2_bvfunc_1(A, k2_bvfunc_1(A, k5_bvfunc_1(A, B, C), k5_bvfunc_1(A, C, D)), k5_bvfunc_1(A, D, B)))) ) ) ) ) ) ) ) ).
fof(t143_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc_1(A, k5_bvfunc_1(A, k2_bvfunc_1(A, B, k1_bvfunc_1(A, C)), k2_bvfunc_1(A, C, k1_bvfunc_1(A, D))), k2_bvfunc_1(A, D, k1_bvfunc_1(A, B))), k5_bvfunc_1(A, k5_bvfunc_1(A, k2_bvfunc_1(A, C, k1_bvfunc_1(A, B)), k2_bvfunc_1(A, D, k1_bvfunc_1(A, C))), k2_bvfunc_1(A, B, k1_bvfunc_1(A, D))))) ) ) ) ) ) ) ) ).
fof(t144_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k2_bvfunc_1(A, k2_bvfunc_1(A, k5_bvfunc_1(A, B, k1_bvfunc_1(A, C)), k5_bvfunc_1(A, C, k1_bvfunc_1(A, D))), k5_bvfunc_1(A, D, k1_bvfunc_1(A, B))), k2_bvfunc_1(A, k2_bvfunc_1(A, k5_bvfunc_1(A, C, k1_bvfunc_1(A, B)), k5_bvfunc_1(A, D, k1_bvfunc_1(A, C))), k5_bvfunc_1(A, B, k1_bvfunc_1(A, D))))) ) ) ) ) ) ) ) ).
fof(t145_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  ( (r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, D, B), k12_bvfunc_1(A)) & r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, D, C), k12_bvfunc_1(A)))  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, D, k5_bvfunc_1(A, B, C)), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ) ).
fof(t146_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  ( (r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, D), k12_bvfunc_1(A)) & r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, C, D), k12_bvfunc_1(A)))  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k2_bvfunc_1(A, B, C), D), k12_bvfunc_1(A))) ) ) ) ) ) ) ) ) ).
fof(t147_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, k5_margrel1) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, k5_margrel1) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, D, E)), k9_bvfunc_1(A, F, G)), k5_bvfunc_1(A, k5_bvfunc_1(A, B, D), F)), k5_bvfunc_1(A, k5_bvfunc_1(A, C, E), G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t148_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, B, D), k9_bvfunc_1(A, C, E)), k5_bvfunc_1(A, B, C)), k1_bvfunc_1(A, k2_bvfunc_1(A, D, E))), k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, D, B), k9_bvfunc_1(A, E, C)), k5_bvfunc_1(A, D, E)), k1_bvfunc_1(A, k2_bvfunc_1(A, B, C))))) ) ) ) ) ) ) ) ) ) ).
fof(t149_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k2_bvfunc_1(A, k5_bvfunc_1(A, B, C), k5_bvfunc_1(A, D, E)), k5_bvfunc_1(A, k5_bvfunc_1(A, k5_bvfunc_1(A, k2_bvfunc_1(A, B, D), k2_bvfunc_1(A, B, E)), k2_bvfunc_1(A, C, D)), k2_bvfunc_1(A, C, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t150_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, k5_margrel1) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k5_bvfunc_1(A, k2_bvfunc_1(A, B, C), k2_bvfunc_1(A, k2_bvfunc_1(A, D, E), F)), k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k5_bvfunc_1(A, B, D), k5_bvfunc_1(A, B, E)), k5_bvfunc_1(A, B, F)), k5_bvfunc_1(A, C, D)), k5_bvfunc_1(A, C, E)), k5_bvfunc_1(A, C, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t151_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k2_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, C, D)), k9_bvfunc_1(A, D, E)), k2_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, B, k2_bvfunc_1(A, k2_bvfunc_1(A, C, D), E)), k9_bvfunc_1(A, C, k2_bvfunc_1(A, D, E))), k9_bvfunc_1(A, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t152_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, B, D), k9_bvfunc_1(A, C, E)), k5_bvfunc_1(A, B, C)), k5_bvfunc_1(A, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t153_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, k2_bvfunc_1(A, B, C), k1_bvfunc_1(A, D)), B), D), k1_bvfunc_1(A, C))) ) ) ) ) ) ) ) ).
fof(t154_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, k5_margrel1) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, k5_margrel1) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, B, C), D), k5_bvfunc_1(A, k5_bvfunc_1(A, E, F), G)), k9_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k1_bvfunc_1(A, E), k1_bvfunc_1(A, F)), D), k5_bvfunc_1(A, k5_bvfunc_1(A, k1_bvfunc_1(A, B), k1_bvfunc_1(A, C)), G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t155_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k2_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, C, D)), k9_bvfunc_1(A, D, B)), k5_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, B, C), D), k2_bvfunc_1(A, k2_bvfunc_1(A, k1_bvfunc_1(A, B), k1_bvfunc_1(A, C)), k1_bvfunc_1(A, D))))) ) ) ) ) ) ) ) ).
fof(t156_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, C, D)), k9_bvfunc_1(A, D, B)), k5_bvfunc_1(A, k5_bvfunc_1(A, B, C), D)), k2_bvfunc_1(A, k2_bvfunc_1(A, B, C), D))) ) ) ) ) ) ) ) ).
fof(t157_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_funct_2(A, k5_margrel1, k2_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k5_bvfunc_1(A, B, C), k5_bvfunc_1(A, C, D)), k5_bvfunc_1(A, D, B)), k1_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, B, C), D))), k5_bvfunc_1(A, k5_bvfunc_1(A, k2_bvfunc_1(A, k2_bvfunc_1(A, k1_bvfunc_1(A, B), C), D), k2_bvfunc_1(A, k2_bvfunc_1(A, B, k1_bvfunc_1(A, C)), D)), k2_bvfunc_1(A, k2_bvfunc_1(A, B, C), k1_bvfunc_1(A, D))))) ) ) ) ) ) ) ) ).
fof(t158_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, C, D)), k9_bvfunc_1(A, B, k2_bvfunc_1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t159_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, C, D)), k9_bvfunc_1(A, k5_bvfunc_1(A, B, C), D))) ) ) ) ) ) ) ) ).
fof(t160_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, C, D)), k9_bvfunc_1(A, B, k5_bvfunc_1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t161_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, C, D)), k9_bvfunc_1(A, B, k5_bvfunc_1(A, C, k1_bvfunc_1(A, D))))) ) ) ) ) ) ) ) ).
fof(t162_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, C, D)), k9_bvfunc_1(A, C, k5_bvfunc_1(A, D, B)))) ) ) ) ) ) ) ) ).
fof(t163_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, C, D)), k9_bvfunc_1(A, C, k5_bvfunc_1(A, D, k1_bvfunc_1(A, B))))) ) ) ) ) ) ) ) ).
fof(t164_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, C, D)), k2_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, C, k5_bvfunc_1(A, D, B))))) ) ) ) ) ) ) ) ).
fof(t165_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, C, D)), k2_bvfunc_1(A, k9_bvfunc_1(A, B, k5_bvfunc_1(A, C, k1_bvfunc_1(A, D))), k9_bvfunc_1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t166_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, C, D)), k2_bvfunc_1(A, k9_bvfunc_1(A, B, k5_bvfunc_1(A, C, D)), k9_bvfunc_1(A, C, k5_bvfunc_1(A, D, B))))) ) ) ) ) ) ) ) ).
fof(t167_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, C, D)), k2_bvfunc_1(A, k9_bvfunc_1(A, B, k5_bvfunc_1(A, C, k1_bvfunc_1(A, D))), k9_bvfunc_1(A, C, k5_bvfunc_1(A, D, B))))) ) ) ) ) ) ) ) ).
fof(t168_bvfunc_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_bvfunc_1(A, k2_bvfunc_1(A, k9_bvfunc_1(A, B, C), k9_bvfunc_1(A, C, D)), k2_bvfunc_1(A, k9_bvfunc_1(A, B, k5_bvfunc_1(A, C, k1_bvfunc_1(A, D))), k9_bvfunc_1(A, C, k5_bvfunc_1(A, D, k1_bvfunc_1(A, B)))))) ) ) ) ) ) ) ) ).
fof(fc1_c0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (v1_ideal_1(k2_struct_0(A), A) & v1_c0sp1(k2_struct_0(A), A)) ) ) ).
fof(cc1_c0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_c0sp1(B, A) =>  (v1_ideal_1(B, A) & v1_c0sp1(B, A)) ) ) ) ) ) ).
fof(cc2_c0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_ideal_1(B, A) & v1_c0sp1(B, A))  => v2_c0sp1(B, A)) ) ) ) ) ).
fof(rc1_c0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) & v1_c0sp1(B, A)) ) ) ) ) ) ).
fof(rc2_c0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (? [B] :  (m1_c0sp1(B, A) &  ( ~ (v2_struct_0(B))  &  (v12_algstr_0(B) &  (v13_algstr_0(B) &  (v14_algstr_0(B) &  (v36_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v9_rlvect_1(B) &  (v1_vectsp_1(B) &  (v2_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) &  (v1_group_1(B) & v3_group_1(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_c0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l1_funcsdom(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m2_c0sp1(B, A) &  ( ~ (v2_struct_0(B))  &  (v12_algstr_0(B) &  (v13_algstr_0(B) &  (v14_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v9_rlvect_1(B) &  (v1_funcsdom(B) &  (v2_funcsdom(B) &  (v1_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v6_vectsp_1(B) &  (v1_group_1(B) &  (v3_group_1(B) & v5_group_1(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc3_c0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l1_funcsdom(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v4_c0sp1(B, A) => v2_c0sp1(B, A)) ) ) ) ) ).
fof(fc2_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v13_algstr_0(k12_funcsdom(A)) &  (v2_rlvect_1(k12_funcsdom(A)) &  (v3_rlvect_1(k12_funcsdom(A)) &  (v4_rlvect_1(k12_funcsdom(A)) &  (v5_rlvect_1(k12_funcsdom(A)) &  (v6_rlvect_1(k12_funcsdom(A)) &  (v7_rlvect_1(k12_funcsdom(A)) &  (v1_funcsdom(k12_funcsdom(A)) &  (v2_funcsdom(k12_funcsdom(A)) &  (v1_vectsp_1(k12_funcsdom(A)) &  (v3_vectsp_1(k12_funcsdom(A)) &  (v3_group_1(k12_funcsdom(A)) & v5_group_1(k12_funcsdom(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc3_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v1_xboole_0(k6_c0sp1(A)))  &  (v3_c0sp1(k6_c0sp1(A), k12_funcsdom(A)) & v4_c0sp1(k6_c0sp1(A), k12_funcsdom(A))) ) ) ) ).
fof(fc4_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v2_struct_0(k11_c0sp1(A))) ) ) ).
fof(fc5_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => v1_group_1(k11_c0sp1(A))) ) ).
fof(fc6_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v13_algstr_0(k11_c0sp1(A)) &  (v2_rlvect_1(k11_c0sp1(A)) &  (v3_rlvect_1(k11_c0sp1(A)) &  (v4_rlvect_1(k11_c0sp1(A)) &  (v5_rlvect_1(k11_c0sp1(A)) &  (v6_rlvect_1(k11_c0sp1(A)) &  (v7_rlvect_1(k11_c0sp1(A)) &  (v8_rlvect_1(k11_c0sp1(A)) &  (v3_normsp_0(k11_c0sp1(A)) &  (v4_normsp_0(k11_c0sp1(A)) & v2_normsp_1(k11_c0sp1(A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc7_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => v3_lopban_1(k11_c0sp1(A))) ) ).
fof(fc8_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v2_vectsp_1(k11_c0sp1(A)) &  (v6_vectsp_1(k11_c0sp1(A)) &  (v2_lopban_2(k11_c0sp1(A)) &  (v3_lopban_2(k11_c0sp1(A)) & v4_lopban_2(k11_c0sp1(A))) ) ) ) ) ) ).
fof(d1_c0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_c0sp1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) => r2_tarski(k4_algstr_0(A, C), B)) ) ) ) ) ) ) ) ).
fof(d2_c0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_c0sp1(B, A) <=>  (v1_ideal_1(B, A) & v1_c0sp1(B, A)) ) ) ) ) ) ).
fof(d3_c0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (m1_c0sp1(B, A) <=>  (r1_tarski(u1_struct_0(B), u1_struct_0(A)) &  (u1_algstr_0(B)=k1_realset1(u1_algstr_0(A), u1_struct_0(B)) &  (u2_algstr_0(B)=k1_realset1(u2_algstr_0(A), u1_struct_0(B)) &  (k5_struct_0(B)=k5_struct_0(A) & k4_struct_0(B)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ).
fof(t1_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, A), A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v13_algstr_0(F) &  (v2_rlvect_1(F) &  (v3_rlvect_1(F) &  (v4_rlvect_1(F) &  (v4_vectsp_1(F) &  (v5_vectsp_1(F) &  (v3_group_1(F) & l6_algstr_0(F)) ) ) ) ) ) ) )  =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(F))) =>  ( (G=A &  (D=k1_realset1(u1_algstr_0(F), G) &  (E=k1_realset1(u2_algstr_0(F), G) &  (B=k5_struct_0(F) &  (C=k4_struct_0(F) & v1_c0sp1(G, F)) ) ) ) )  => m1_c0sp1(g6_algstr_0(A, D, E, B, C), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_c0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l5_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_c0sp1(B, A) <=>  (r2_tarski(k5_struct_0(A), B) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k6_algstr_0(A, C, D), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_c0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_ideal_1(B, A) =>  (v1_xboole_0(B) | k1_c0sp1(A, B)=k1_realset1(u1_algstr_0(A), B)) ) ) ) ) ) ).
fof(d6_c0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l5_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_c0sp1(B, A) =>  (v1_xboole_0(B) | k2_c0sp1(A, B)=k1_realset1(u2_algstr_0(A), B)) ) ) ) ) ) ).
fof(d7_c0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_ideal_1(B, A) & v1_c0sp1(B, A))  =>  (v1_xboole_0(B) | k3_c0sp1(A, B)=k4_struct_0(A)) ) ) ) ) ) ).
fof(d8_c0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l5_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_c0sp1(B, A) =>  (v1_xboole_0(B) | k4_c0sp1(A, B)=k5_struct_0(A)) ) ) ) ) ) ).
fof(t2_c0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v2_c0sp1(B, A) & v3_c0sp1(B, A))  =>  (v1_xboole_0(B) |  ( ~ (v2_struct_0(g6_algstr_0(B, k1_c0sp1(A, B), k2_c0sp1(A, B), k4_c0sp1(A, B), k3_c0sp1(A, B))))  &  (v13_algstr_0(g6_algstr_0(B, k1_c0sp1(A, B), k2_c0sp1(A, B), k4_c0sp1(A, B), k3_c0sp1(A, B))) &  (v2_rlvect_1(g6_algstr_0(B, k1_c0sp1(A, B), k2_c0sp1(A, B), k4_c0sp1(A, B), k3_c0sp1(A, B))) &  (v3_rlvect_1(g6_algstr_0(B, k1_c0sp1(A, B), k2_c0sp1(A, B), k4_c0sp1(A, B), k3_c0sp1(A, B))) &  (v4_rlvect_1(g6_algstr_0(B, k1_c0sp1(A, B), k2_c0sp1(A, B), k4_c0sp1(A, B), k3_c0sp1(A, B))) &  (v4_vectsp_1(g6_algstr_0(B, k1_c0sp1(A, B), k2_c0sp1(A, B), k4_c0sp1(A, B), k3_c0sp1(A, B))) &  (v5_vectsp_1(g6_algstr_0(B, k1_c0sp1(A, B), k2_c0sp1(A, B), k4_c0sp1(A, B), k3_c0sp1(A, B))) &  (v3_group_1(g6_algstr_0(B, k1_c0sp1(A, B), k2_c0sp1(A, B), k4_c0sp1(A, B), k3_c0sp1(A, B))) & l6_algstr_0(g6_algstr_0(B, k1_c0sp1(A, B), k2_c0sp1(A, B), k4_c0sp1(A, B), k3_c0sp1(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_c0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l1_funcsdom(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v2_funcsdom(B) &  (v1_vectsp_1(B) &  (v3_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l1_funcsdom(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (m2_c0sp1(B, A) <=>  (r1_tarski(u1_struct_0(B), u1_struct_0(A)) &  (u1_algstr_0(B)=k1_realset1(u1_algstr_0(A), u1_struct_0(B)) &  (u2_algstr_0(B)=k1_realset1(u2_algstr_0(A), u1_struct_0(B)) &  (u1_rlvect_1(B)=k2_partfun1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)), u1_struct_0(A), u1_rlvect_1(A), k2_zfmisc_1(k1_numbers, u1_struct_0(B))) &  (k5_struct_0(B)=k5_struct_0(A) & k4_struct_0(B)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ).
fof(t3_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, A), A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v13_algstr_0(F) &  (v2_rlvect_1(F) &  (v3_rlvect_1(F) &  (v4_rlvect_1(F) &  (v5_rlvect_1(F) &  (v6_rlvect_1(F) &  (v7_rlvect_1(F) &  (v2_funcsdom(F) &  (v1_vectsp_1(F) &  (v3_vectsp_1(F) &  (v3_group_1(F) &  (v5_group_1(F) & l1_funcsdom(F)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(F))) =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k2_zfmisc_1(k1_numbers, A), A) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, A), A)))) )  =>  ( (G=A &  (B=k4_struct_0(F) &  (C=k5_struct_0(F) &  (D=k1_realset1(u1_algstr_0(F), G) &  (E=k1_realset1(u2_algstr_0(F), G) &  (H=k2_partfun1(k2_zfmisc_1(k1_numbers, u1_struct_0(F)), u1_struct_0(F), u1_rlvect_1(F), k2_zfmisc_1(k1_numbers, G)) & v1_c0sp1(G, F)) ) ) ) ) )  => m2_c0sp1(g1_funcsdom(A, E, D, H, C, B), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_c0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l1_funcsdom(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v4_c0sp1(B, A) <=>  (v1_ideal_1(B, A) &  (v1_c0sp1(B, A) &  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, B) => r2_tarski(k1_rlvect_1(A, D, C), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_c0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l1_funcsdom(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v4_c0sp1(B, A) =>  (v1_xboole_0(B) | k5_c0sp1(A, B)=k2_partfun1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)), u1_struct_0(A), u1_rlvect_1(A), k2_zfmisc_1(k1_numbers, B))) ) ) ) ) ) ).
fof(d12_c0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (v5_c0sp1(A) <=>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (k1_rlvect_1(A, C, B)=k4_struct_0(A) &  ( ~ (B=k5_numbers)  &  ~ (C=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_c0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v2_funcsdom(A) & l1_funcsdom(A)) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) => k1_rlvect_1(A, k4_struct_0(A), B)=k4_struct_0(A)) ) ) ) ).
fof(t5_c0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v2_funcsdom(A) & l1_funcsdom(A)) ) ) ) ) ) ) ) )  =>  (v5_c0sp1(A) =>  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_c0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l1_funcsdom(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v4_c0sp1(B, A) & v3_c0sp1(B, A))  =>  (v1_xboole_0(B) | m2_c0sp1(g1_funcsdom(B, k2_c0sp1(A, B), k1_c0sp1(A, B), k5_c0sp1(A, B), k4_c0sp1(A, B), k3_c0sp1(A, B)), A)) ) ) ) ) ) ).
fof(t7_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k12_funcsdom(A)))  &  (v13_algstr_0(k12_funcsdom(A)) &  (v2_rlvect_1(k12_funcsdom(A)) &  (v3_rlvect_1(k12_funcsdom(A)) &  (v4_rlvect_1(k12_funcsdom(A)) &  (v5_rlvect_1(k12_funcsdom(A)) &  (v6_rlvect_1(k12_funcsdom(A)) &  (v7_rlvect_1(k12_funcsdom(A)) &  (v8_rlvect_1(k12_funcsdom(A)) & l1_rlvect_1(k12_funcsdom(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_c0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l1_funcsdom(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_c0sp1(B, A) =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (C=E & D=F)  => k3_rlvect_1(B, C, D)=k3_rlvect_1(A, E, F)) ) ) ) ) ) ) ) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (C=E & D=F)  => k8_group_1(B, C, D)=k8_group_1(A, E, F)) ) ) ) ) ) ) ) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xreal_0(E) =>  (C=D => k1_rlvect_1(B, C, E)=k1_rlvect_1(A, D, E)) ) ) ) ) ) )  &  (k1_group_1(B)=k1_group_1(A) & k4_struct_0(B)=k4_struct_0(A)) ) ) ) ) ) ) ) ).
fof(t9_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v4_c0sp1(k6_c0sp1(A), k12_funcsdom(A)) & v3_c0sp1(k6_c0sp1(A), k12_funcsdom(A))) ) ) ).
fof(d14_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k7_c0sp1(A)=g1_funcsdom(k6_c0sp1(A), k2_c0sp1(k12_funcsdom(A), k6_c0sp1(A)), k1_c0sp1(k12_funcsdom(A), k6_c0sp1(A)), k5_c0sp1(k12_funcsdom(A), k6_c0sp1(A)), k4_c0sp1(k12_funcsdom(A), k6_c0sp1(A)), k3_c0sp1(k12_funcsdom(A), k6_c0sp1(A)))) ) ).
fof(t10_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => m2_c0sp1(k7_c0sp1(A), k12_funcsdom(A))) ) ).
fof(t11_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k7_c0sp1(A)))  &  (v13_algstr_0(k7_c0sp1(A)) &  (v2_rlvect_1(k7_c0sp1(A)) &  (v3_rlvect_1(k7_c0sp1(A)) &  (v4_rlvect_1(k7_c0sp1(A)) &  (v5_rlvect_1(k7_c0sp1(A)) &  (v6_rlvect_1(k7_c0sp1(A)) &  (v7_rlvect_1(k7_c0sp1(A)) &  (v8_rlvect_1(k7_c0sp1(A)) & l1_rlvect_1(k7_c0sp1(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k7_c0sp1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_c0sp1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_c0sp1(A))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  ( (E=B &  (F=C & G=D) )  =>  (D=k3_rlvect_1(k7_c0sp1(A), B, C) <=>  (! [H] :  (m1_subset_1(H, A) => k3_funct_2(A, k1_numbers, G, H)=k3_real_1(k3_funct_2(A, k1_numbers, E, H), k3_funct_2(A, k1_numbers, F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_c0sp1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_c0sp1(A))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  ( (E=C & F=D)  =>  (D=k1_rlvect_1(k7_c0sp1(A), C, B) <=>  (! [G] :  (m1_subset_1(G, A) => k3_funct_2(A, k1_numbers, F, G)=k3_xcmplx_0(B, k3_funct_2(A, k1_numbers, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k7_c0sp1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_c0sp1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_c0sp1(A))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  ( (E=B &  (F=C & G=D) )  =>  (D=k8_group_1(k7_c0sp1(A), B, C) <=>  (! [H] :  (m1_subset_1(H, A) => k3_funct_2(A, k1_numbers, G, H)=k4_real_1(k3_funct_2(A, k1_numbers, E, H), k3_funct_2(A, k1_numbers, F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k4_struct_0(k7_c0sp1(A))=k8_funcop_1(k4_ordinal1, A, k5_numbers)) ) ).
fof(t16_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k1_group_1(k7_c0sp1(A))=k8_funcop_1(k4_ordinal1, A, 1)) ) ).
fof(d15_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (r2_hidden(B, k6_c0sp1(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (C=k8_c0sp1(A, B) <=>  (C=B & v1_comseq_2(k2_partfun1(A, k1_numbers, C, A))) ) ) ) ) ) ) ) ).
fof(t17_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_comseq_2(k2_partfun1(A, k1_numbers, B, A)) => v4_xxreal_2(k9_c0sp1(A, B))) ) ) ) ) ).
fof(t18_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_comseq_2(k2_partfun1(A, k1_numbers, B, A)) <=> v4_xxreal_2(k9_c0sp1(A, B))) ) ) ) ) ).
fof(d17_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k6_c0sp1(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k6_c0sp1(A), k1_numbers)))) )  =>  (B=k10_c0sp1(A) <=>  (! [C] :  (r2_hidden(C, k6_c0sp1(A)) => k1_funct_1(B, C)=k2_seq_4(k9_c0sp1(A, k8_c0sp1(A, C)))) ) ) ) ) ) ) ).
fof(t19_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_comseq_2(k2_partfun1(A, k1_numbers, B, A)) => r2_relset_1(A, k1_numbers, k8_c0sp1(A, B), B)) ) ) ) ) ).
fof(t20_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_comseq_2(k2_partfun1(A, k1_numbers, B, A)) => k1_funct_1(k10_c0sp1(A), B)=k2_seq_4(k9_c0sp1(A, B))) ) ) ) ) ).
fof(d18_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k11_c0sp1(A)=g1_lopban_2(k6_c0sp1(A), k2_c0sp1(k12_funcsdom(A), k6_c0sp1(A)), k1_c0sp1(k12_funcsdom(A), k6_c0sp1(A)), k5_c0sp1(k12_funcsdom(A), k6_c0sp1(A)), k4_c0sp1(k12_funcsdom(A), k6_c0sp1(A)), k3_c0sp1(k12_funcsdom(A), k6_c0sp1(A)), k10_c0sp1(A))) ) ).
fof(t21_c0sp1, axiom,  (! [A] :  (l1_lopban_2(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v2_funcsdom(B) &  (v1_vectsp_1(B) &  (v3_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l1_funcsdom(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (g1_funcsdom(u1_struct_0(A), u2_algstr_0(A), u1_algstr_0(A), u1_rlvect_1(A), u3_struct_0(A), u2_struct_0(A))=B =>  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l1_funcsdom(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k11_c0sp1(A)))  &  (v13_algstr_0(k11_c0sp1(A)) &  (v2_rlvect_1(k11_c0sp1(A)) &  (v3_rlvect_1(k11_c0sp1(A)) &  (v4_rlvect_1(k11_c0sp1(A)) &  (v5_rlvect_1(k11_c0sp1(A)) &  (v6_rlvect_1(k11_c0sp1(A)) &  (v7_rlvect_1(k11_c0sp1(A)) &  (v2_funcsdom(k11_c0sp1(A)) &  (v1_vectsp_1(k11_c0sp1(A)) &  (v3_vectsp_1(k11_c0sp1(A)) &  (v3_group_1(k11_c0sp1(A)) &  (v5_group_1(k11_c0sp1(A)) & l1_funcsdom(k11_c0sp1(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k11_c0sp1(A))) => k1_binop_1(k5_c0sp1(k12_funcsdom(A), k6_c0sp1(A)), 1, B)=B) ) ) ) ).
fof(t24_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k11_c0sp1(A)))  &  (v13_algstr_0(k11_c0sp1(A)) &  (v2_rlvect_1(k11_c0sp1(A)) &  (v3_rlvect_1(k11_c0sp1(A)) &  (v4_rlvect_1(k11_c0sp1(A)) &  (v5_rlvect_1(k11_c0sp1(A)) &  (v6_rlvect_1(k11_c0sp1(A)) &  (v7_rlvect_1(k11_c0sp1(A)) &  (v8_rlvect_1(k11_c0sp1(A)) & l1_rlvect_1(k11_c0sp1(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k8_funcop_1(k4_ordinal1, A, k5_numbers)=k4_struct_0(k11_c0sp1(A))) ) ).
fof(t26_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k11_c0sp1(A))) =>  ( (C=D & v1_comseq_2(k2_partfun1(A, k1_numbers, C, A)))  => r1_xxreal_0(k9_complex1(k3_funct_2(A, k1_numbers, C, B)), k2_normsp_0(k11_c0sp1(A), D))) ) ) ) ) ) ) ) ) ).
fof(t27_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k11_c0sp1(A))) => r1_xxreal_0(k5_numbers, k2_normsp_0(k11_c0sp1(A), B))) ) ) ) ).
fof(t28_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k11_c0sp1(A))) =>  (B=k4_struct_0(k11_c0sp1(A)) => k5_numbers=k2_normsp_0(k11_c0sp1(A), B)) ) ) ) ) ).
fof(t29_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k11_c0sp1(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k11_c0sp1(A))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k11_c0sp1(A))) =>  ( (B=E &  (C=F & D=G) )  =>  (G=k1_algstr_0(k11_c0sp1(A), E, F) <=>  (! [H] :  (m1_subset_1(H, A) => k3_funct_2(A, k1_numbers, D, H)=k3_real_1(k3_funct_2(A, k1_numbers, B, H), k3_funct_2(A, k1_numbers, C, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k11_c0sp1(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k11_c0sp1(A))) =>  ( (C=E & D=F)  =>  (F=k1_rlvect_1(k11_c0sp1(A), E, B) <=>  (! [G] :  (m1_subset_1(G, A) => k3_funct_2(A, k1_numbers, D, G)=k3_xcmplx_0(B, k3_funct_2(A, k1_numbers, C, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k11_c0sp1(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k11_c0sp1(A))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k11_c0sp1(A))) =>  ( (B=E &  (C=F & D=G) )  =>  (G=k6_algstr_0(k11_c0sp1(A), E, F) <=>  (! [H] :  (m1_subset_1(H, A) => k3_funct_2(A, k1_numbers, D, H)=k4_real_1(k3_funct_2(A, k1_numbers, B, H), k3_funct_2(A, k1_numbers, C, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k11_c0sp1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k11_c0sp1(A))) =>  ( (k2_normsp_0(k11_c0sp1(A), C)=k5_numbers => C=k4_struct_0(k11_c0sp1(A)))  &  ( (C=k4_struct_0(k11_c0sp1(A)) => k2_normsp_0(k11_c0sp1(A), C)=k5_numbers)  &  (k2_normsp_0(k11_c0sp1(A), k1_rlvect_1(k11_c0sp1(A), C, B))=k3_xcmplx_0(k9_complex1(B), k2_normsp_0(k11_c0sp1(A), C)) & r1_xxreal_0(k2_normsp_0(k11_c0sp1(A), k1_algstr_0(k11_c0sp1(A), C, D)), k2_xcmplx_0(k2_normsp_0(k11_c0sp1(A), C), k2_normsp_0(k11_c0sp1(A), D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v4_normsp_0(k11_c0sp1(A)) &  (v3_normsp_0(k11_c0sp1(A)) & v2_normsp_1(k11_c0sp1(A))) ) ) ) ).
fof(t34_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k11_c0sp1(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k11_c0sp1(A))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k11_c0sp1(A))) =>  ( (B=E &  (C=F & D=G) )  =>  (G=k5_algstr_0(k11_c0sp1(A), E, F) <=>  (! [H] :  (m1_subset_1(H, A) => k3_funct_2(A, k1_numbers, D, H)=k5_real_1(k3_funct_2(A, k1_numbers, B, H), k3_funct_2(A, k1_numbers, C, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k11_c0sp1(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k11_c0sp1(A)))))) )  =>  (v1_rsspace3(B, k11_c0sp1(A)) => v3_normsp_1(B, k11_c0sp1(A))) ) ) ) ) ).
fof(t36_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k11_c0sp1(A)))  &  (v13_algstr_0(k11_c0sp1(A)) &  (v2_rlvect_1(k11_c0sp1(A)) &  (v3_rlvect_1(k11_c0sp1(A)) &  (v4_rlvect_1(k11_c0sp1(A)) &  (v5_rlvect_1(k11_c0sp1(A)) &  (v6_rlvect_1(k11_c0sp1(A)) &  (v7_rlvect_1(k11_c0sp1(A)) &  (v8_rlvect_1(k11_c0sp1(A)) &  (v3_normsp_0(k11_c0sp1(A)) &  (v4_normsp_0(k11_c0sp1(A)) &  (v2_normsp_1(k11_c0sp1(A)) &  (v3_lopban_1(k11_c0sp1(A)) & l1_normsp_1(k11_c0sp1(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k11_c0sp1(A)))  &  (v13_algstr_0(k11_c0sp1(A)) &  (v2_rlvect_1(k11_c0sp1(A)) &  (v3_rlvect_1(k11_c0sp1(A)) &  (v4_rlvect_1(k11_c0sp1(A)) &  (v5_rlvect_1(k11_c0sp1(A)) &  (v6_rlvect_1(k11_c0sp1(A)) &  (v7_rlvect_1(k11_c0sp1(A)) &  (v8_rlvect_1(k11_c0sp1(A)) &  (v3_normsp_0(k11_c0sp1(A)) &  (v4_normsp_0(k11_c0sp1(A)) &  (v2_normsp_1(k11_c0sp1(A)) &  (v2_funcsdom(k11_c0sp1(A)) &  (v1_vectsp_1(k11_c0sp1(A)) &  (v3_vectsp_1(k11_c0sp1(A)) &  (v3_group_1(k11_c0sp1(A)) &  (v5_lopban_2(k11_c0sp1(A)) & l1_lopban_2(k11_c0sp1(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_m1_c0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_c0sp1(B, A) =>  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(existence_m1_c0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (? [B] : m1_c0sp1(B, A)) ) ) ).
fof(dt_k1_c0sp1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_funct_1(k1_c0sp1(A, B)) &  (v1_funct_2(k1_c0sp1(A, B), k2_zfmisc_1(B, B), B) & m1_subset_1(k1_c0sp1(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) ) ) ) ).
fof(dt_k2_c0sp1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l5_algstr_0(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_funct_1(k2_c0sp1(A, B)) &  (v1_funct_2(k2_c0sp1(A, B), k2_zfmisc_1(B, B), B) & m1_subset_1(k2_c0sp1(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) ) ) ) ).
fof(dt_k3_c0sp1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k3_c0sp1(A, B), B)) ) ).
fof(dt_k4_c0sp1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l5_algstr_0(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k4_c0sp1(A, B), B)) ) ).
fof(dt_m2_c0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l1_funcsdom(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_c0sp1(B, A) =>  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v2_funcsdom(B) &  (v1_vectsp_1(B) &  (v3_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l1_funcsdom(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(existence_m2_c0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l1_funcsdom(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (? [B] : m2_c0sp1(B, A)) ) ) ).
fof(dt_k5_c0sp1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l1_funcsdom(A)) ) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_funct_1(k5_c0sp1(A, B)) &  (v1_funct_2(k5_c0sp1(A, B), k2_zfmisc_1(k1_numbers, B), B) & m1_subset_1(k5_c0sp1(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, B), B)))) ) ) ) ).
fof(dt_k6_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v1_xboole_0(k6_c0sp1(A)))  & m1_subset_1(k6_c0sp1(A), k1_zfmisc_1(u1_struct_0(k12_funcsdom(A))))) ) ) ).
fof(dt_k7_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k7_c0sp1(A)))  &  (v13_algstr_0(k7_c0sp1(A)) &  (v2_rlvect_1(k7_c0sp1(A)) &  (v3_rlvect_1(k7_c0sp1(A)) &  (v4_rlvect_1(k7_c0sp1(A)) &  (v5_rlvect_1(k7_c0sp1(A)) &  (v6_rlvect_1(k7_c0sp1(A)) &  (v7_rlvect_1(k7_c0sp1(A)) &  (v2_funcsdom(k7_c0sp1(A)) &  (v1_vectsp_1(k7_c0sp1(A)) &  (v3_vectsp_1(k7_c0sp1(A)) &  (v3_group_1(k7_c0sp1(A)) &  (v5_group_1(k7_c0sp1(A)) & l1_funcsdom(k7_c0sp1(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k8_c0sp1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k8_c0sp1(A, B)) &  (v1_funct_2(k8_c0sp1(A, B), A, k1_numbers) & m1_subset_1(k8_c0sp1(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ).
fof(dt_k9_c0sp1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  ( ~ (v1_xboole_0(k9_c0sp1(A, B)))  & m1_subset_1(k9_c0sp1(A, B), k1_zfmisc_1(k1_numbers))) ) ) ).
fof(dt_k10_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k10_c0sp1(A)) &  (v1_funct_2(k10_c0sp1(A), k6_c0sp1(A), k1_numbers) & m1_subset_1(k10_c0sp1(A), k1_zfmisc_1(k2_zfmisc_1(k6_c0sp1(A), k1_numbers)))) ) ) ) ).
fof(dt_k11_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => l1_lopban_2(k11_c0sp1(A))) ) ).
fof(d13_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k6_c0sp1(A)=a_1_0_c0sp1(A)) ) ).
fof(d16_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  => k9_c0sp1(A, B)=a_2_0_c0sp1(A, B)) ) ) ) ).
fof(fraenkel_a_1_0_c0sp1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (r2_hidden(A, a_1_0_c0sp1(B)) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  &  (A=C & v1_comseq_2(k2_partfun1(B, k1_numbers, C, B))) ) ) ) ) ) ).
fof(fraenkel_a_2_0_c0sp1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) ) )  =>  (r2_hidden(A, a_2_0_c0sp1(B, C)) <=>  (? [D] :  (m1_subset_1(D, B) & A=k9_complex1(k3_funct_2(B, k1_numbers, C, D))) ) ) ) ) ).
fof(fc1_c0sp2, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  & v1_xreal_0(B))  =>  (v1_funct_1(k1_c0sp2(A, B)) &  (v1_funct_2(k1_c0sp2(A, B), u1_struct_0(A), k1_numbers) & v1_pscomp_1(k1_c0sp2(A, B), A)) ) ) ) ).
fof(fc2_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ~ (v1_xboole_0(k2_c0sp2(A))) ) ) ).
fof(fc3_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v3_c0sp1(k2_c0sp2(A), k12_funcsdom(u1_struct_0(A))) & v4_c0sp1(k2_c0sp2(A), k12_funcsdom(u1_struct_0(A)))) ) ) ).
fof(fc4_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( ~ (v2_struct_0(k3_c0sp2(A)))  & v1_funcsdom(k3_c0sp2(A))) ) ) ).
fof(fc5_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v13_algstr_0(k3_c0sp2(A)) &  (v2_rlvect_1(k3_c0sp2(A)) &  (v3_rlvect_1(k3_c0sp2(A)) &  (v4_rlvect_1(k3_c0sp2(A)) &  (v5_rlvect_1(k3_c0sp2(A)) &  (v6_rlvect_1(k3_c0sp2(A)) &  (v7_rlvect_1(k3_c0sp2(A)) &  (v8_rlvect_1(k3_c0sp2(A)) &  (v1_vectsp_1(k3_c0sp2(A)) &  (v3_vectsp_1(k3_c0sp2(A)) &  (v3_group_1(k3_c0sp2(A)) &  (v5_group_1(k3_c0sp2(A)) & v2_funcsdom(k3_c0sp2(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc6_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  =>  ( ~ (v2_struct_0(k5_c0sp2(A)))  & v1_lopban_2(k5_c0sp2(A))) ) ) ).
fof(fc7_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  => v1_group_1(k5_c0sp2(A))) ) ).
fof(fc8_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  =>  (v13_algstr_0(k5_c0sp2(A)) &  (v2_rlvect_1(k5_c0sp2(A)) &  (v3_rlvect_1(k5_c0sp2(A)) &  (v4_rlvect_1(k5_c0sp2(A)) &  (v5_rlvect_1(k5_c0sp2(A)) &  (v6_rlvect_1(k5_c0sp2(A)) &  (v7_rlvect_1(k5_c0sp2(A)) &  (v1_vectsp_1(k5_c0sp2(A)) &  (v3_vectsp_1(k5_c0sp2(A)) &  (v3_group_1(k5_c0sp2(A)) &  (v5_group_1(k5_c0sp2(A)) & v2_funcsdom(k5_c0sp2(A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc9_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  =>  (v5_rlvect_1(k5_c0sp2(A)) &  (v6_rlvect_1(k5_c0sp2(A)) &  (v7_rlvect_1(k5_c0sp2(A)) & v8_rlvect_1(k5_c0sp2(A))) ) ) ) ) ).
fof(fc10_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  =>  (v3_normsp_0(k5_c0sp2(A)) &  (v4_normsp_0(k5_c0sp2(A)) & v2_normsp_1(k5_c0sp2(A))) ) ) ) ).
fof(fc11_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  => v3_lopban_1(k5_c0sp2(A))) ) ).
fof(fc12_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  => v5_lopban_2(k5_c0sp2(A))) ) ).
fof(fc13_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( ~ (v1_xboole_0(k6_c0sp2(A)))  & v1_rlsub_1(k6_c0sp2(A), k10_funcsdom(u1_struct_0(A)))) ) ) ).
fof(fc14_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( ~ (v2_struct_0(k9_c0sp2(A)))  & v1_normsp_1(k9_c0sp2(A))) ) ) ).
fof(fc15_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( ~ (v2_struct_0(k9_c0sp2(A)))  &  (v13_algstr_0(k9_c0sp2(A)) &  (v2_rlvect_1(k9_c0sp2(A)) &  (v3_rlvect_1(k9_c0sp2(A)) &  (v4_rlvect_1(k9_c0sp2(A)) &  (v5_rlvect_1(k9_c0sp2(A)) &  (v6_rlvect_1(k9_c0sp2(A)) &  (v7_rlvect_1(k9_c0sp2(A)) &  (v8_rlvect_1(k9_c0sp2(A)) &  (v3_normsp_0(k9_c0sp2(A)) &  (v4_normsp_0(k9_c0sp2(A)) & v2_normsp_1(k9_c0sp2(A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_c0sp2, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_c0sp2(A, B)=k7_funcop_1(u1_struct_0(A), B)) ) ) ) ).
fof(t1_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (v1_pscomp_1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_numbers)) =>  ~ ( (r2_tarski(k3_funct_2(u1_struct_0(A), k1_numbers, B, C), D) &  (v3_rcomp_1(D) &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_tarski(C, E) &  (v3_pre_topc(E, A) & r1_tarski(k7_relset_1(u1_struct_0(A), k1_numbers, B, E), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => k3_c0sp2(A)=g1_funcsdom(k2_c0sp2(A), k2_c0sp1(k12_funcsdom(u1_struct_0(A)), k2_c0sp2(A)), k1_c0sp1(k12_funcsdom(u1_struct_0(A)), k2_c0sp2(A)), k5_c0sp1(k12_funcsdom(u1_struct_0(A)), k2_c0sp2(A)), k4_c0sp1(k12_funcsdom(u1_struct_0(A)), k2_c0sp2(A)), k3_c0sp1(k12_funcsdom(u1_struct_0(A)), k2_c0sp2(A)))) ) ).
fof(t2_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => m2_c0sp1(k3_c0sp2(A), k12_funcsdom(u1_struct_0(A)))) ) ).
fof(t3_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_c0sp2(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_c0sp2(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k3_c0sp2(A))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(A), k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(A), k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  ( (E=B &  (F=C & G=D) )  =>  (D=k3_rlvect_1(k3_c0sp2(A), B, C) <=>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k1_numbers, G, H)=k3_real_1(k3_funct_2(u1_struct_0(A), k1_numbers, E, H), k3_funct_2(u1_struct_0(A), k1_numbers, F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_c0sp2(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_c0sp2(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k3_c0sp2(A))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(A), k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(A), k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (! [H] :  (v1_xreal_0(H) =>  ( (E=B & F=C)  =>  (C=k1_rlvect_1(k3_c0sp2(A), B, H) <=>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k1_numbers, F, I)=k3_xcmplx_0(H, k3_funct_2(u1_struct_0(A), k1_numbers, E, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_c0sp2(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_c0sp2(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k3_c0sp2(A))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(A), k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(A), k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  ( (E=B &  (F=C & G=D) )  =>  (D=k8_group_1(k3_c0sp2(A), B, C) <=>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k1_numbers, G, H)=k4_real_1(k3_funct_2(u1_struct_0(A), k1_numbers, E, H), k3_funct_2(u1_struct_0(A), k1_numbers, F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => k4_struct_0(k3_c0sp2(A))=k1_c0sp2(A, k5_numbers)) ) ).
fof(t7_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => k1_group_1(k3_c0sp2(A))=k1_c0sp2(A, 1)) ) ).
fof(t8_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_funcsdom(A) & l1_funcsdom(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_c0sp1(B, A) =>  (! [C] :  (m2_c0sp1(C, A) =>  (r1_tarski(u1_struct_0(B), u1_struct_0(C)) => m2_c0sp1(B, C)) ) ) ) ) ) ) ).
fof(t9_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  => m2_c0sp1(k3_c0sp2(A), k7_c0sp1(u1_struct_0(A)))) ) ).
fof(d4_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  => k4_c0sp2(A)=k2_partfun1(k6_c0sp1(u1_struct_0(A)), k1_numbers, k10_c0sp1(u1_struct_0(A)), k2_c0sp2(A))) ) ).
fof(d5_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  => k5_c0sp2(A)=g1_lopban_2(k2_c0sp2(A), k2_c0sp1(k12_funcsdom(u1_struct_0(A)), k2_c0sp2(A)), k1_c0sp1(k12_funcsdom(u1_struct_0(A)), k2_c0sp2(A)), k5_c0sp1(k12_funcsdom(u1_struct_0(A)), k2_c0sp2(A)), k4_c0sp1(k12_funcsdom(u1_struct_0(A)), k2_c0sp2(A)), k3_c0sp1(k12_funcsdom(u1_struct_0(A)), k2_c0sp2(A)), k4_c0sp2(A))) ) ).
fof(t10_c0sp2, axiom,  (! [A] :  (l1_lopban_2(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v1_vectsp_1(B) &  (v3_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_funcsdom(B) & l1_funcsdom(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (g1_funcsdom(u1_struct_0(A), u2_algstr_0(A), u1_algstr_0(A), u1_rlvect_1(A), u3_struct_0(A), u2_struct_0(A))=B =>  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_funcsdom(A) & l1_funcsdom(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_c0sp2(A))) => k1_binop_1(k5_c0sp1(k12_funcsdom(u1_struct_0(A)), k2_c0sp2(A)), 1, B)=B) ) ) ) ).
fof(t12_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  => k1_c0sp2(A, k5_numbers)=k4_struct_0(k5_c0sp2(A))) ) ).
fof(t13_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_c0sp2(A))) => r1_xxreal_0(k5_numbers, k2_normsp_0(k5_c0sp2(A), B))) ) ) ) ).
fof(t14_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_c0sp2(A))) =>  (B=k4_struct_0(k5_c0sp2(A)) => k5_numbers=k2_normsp_0(k5_c0sp2(A), B)) ) ) ) ) ).
fof(t15_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_c0sp2(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_c0sp2(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_c0sp2(A))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(A), k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(A), k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  ( (E=B &  (F=C & G=D) )  =>  (D=k3_rlvect_1(k5_c0sp2(A), B, C) <=>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k1_numbers, G, H)=k3_real_1(k3_funct_2(u1_struct_0(A), k1_numbers, E, H), k3_funct_2(u1_struct_0(A), k1_numbers, F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_c0sp2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v1_compts_1(B) & l1_pre_topc(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_c0sp2(B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_c0sp2(B))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_numbers)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(B), k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_numbers)))) )  =>  ( (E=C & F=D)  =>  (D=k1_rlvect_1(k5_c0sp2(B), C, A) <=>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) => k3_funct_2(u1_struct_0(B), k1_numbers, F, G)=k3_xcmplx_0(A, k3_funct_2(u1_struct_0(B), k1_numbers, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_c0sp2(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_c0sp2(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_c0sp2(A))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(A), k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(A), k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  ( (E=B &  (F=C & G=D) )  =>  (D=k8_group_1(k5_c0sp2(A), B, C) <=>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k1_numbers, G, H)=k4_real_1(k3_funct_2(u1_struct_0(A), k1_numbers, E, H), k3_funct_2(u1_struct_0(A), k1_numbers, F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_c0sp2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v1_compts_1(B) & l1_pre_topc(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_c0sp2(B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_c0sp2(B))) =>  ( (k2_normsp_0(k5_c0sp2(B), C)=k5_numbers => C=k4_struct_0(k5_c0sp2(B)))  &  ( (C=k4_struct_0(k5_c0sp2(B)) => k2_normsp_0(k5_c0sp2(B), C)=k5_numbers)  &  (k2_normsp_0(k5_c0sp2(B), k1_rlvect_1(k5_c0sp2(B), C, A))=k3_xcmplx_0(k9_complex1(A), k2_normsp_0(k5_c0sp2(B), C)) & r1_xxreal_0(k2_normsp_0(k5_c0sp2(B), k3_rlvect_1(k5_c0sp2(B), C, D)), k2_xcmplx_0(k2_normsp_0(k5_c0sp2(B), C), k2_normsp_0(k5_c0sp2(B), D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_c0sp2(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_c0sp2(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_c0sp2(A))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(A), k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(A), k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  ( (E=B &  (F=C & G=D) )  =>  (D=k5_algstr_0(k5_c0sp2(A), B, C) <=>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k1_numbers, G, H)=k5_real_1(k3_funct_2(u1_struct_0(A), k1_numbers, E, H), k3_funct_2(u1_struct_0(A), k1_numbers, F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v2_nfcont_1(B, A) &  (r1_tarski(k2_relset_1(u1_struct_0(A), C), B) & v1_rsspace3(C, A)) )  =>  (v3_normsp_1(C, A) & r2_tarski(k5_normsp_1(A, C), B)) ) ) ) ) ) ) ) ).
fof(t21_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k11_c0sp1(u1_struct_0(A))))) =>  (B=k2_c0sp2(A) => v2_nfcont_1(B, k11_c0sp1(u1_struct_0(A)))) ) ) ) ) ).
fof(t22_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k5_c0sp2(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k5_c0sp2(A)))))) )  =>  (v1_rsspace3(B, k5_c0sp2(A)) => v3_normsp_1(B, k5_c0sp2(A))) ) ) ) ) ).
fof(t23_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  => r1_tarski(k13_pre_poly(k3_valued_1(u1_struct_0(A), k1_numbers, k1_numbers, B, C)), k2_xboole_0(k13_pre_poly(B), k13_pre_poly(C)))) ) ) ) ) ) ).
fof(t24_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  => r1_tarski(k13_pre_poly(k26_valued_1(u1_struct_0(A), k1_numbers, C, B)), k13_pre_poly(C))) ) ) ) ) ) ).
fof(t25_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  => r1_tarski(k13_pre_poly(k20_valued_1(u1_struct_0(A), k1_numbers, k1_numbers, B, C)), k2_xboole_0(k13_pre_poly(B), k13_pre_poly(C)))) ) ) ) ) ) ).
fof(t26_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( ~ (v1_xboole_0(k6_c0sp2(A)))  & m1_subset_1(k6_c0sp2(A), k1_zfmisc_1(u1_struct_0(k12_funcsdom(u1_struct_0(A)))))) ) ) ).
fof(t27_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k12_funcsdom(u1_struct_0(A))))))  =>  (B=k6_c0sp2(A) => v4_c0sp1(B, k12_funcsdom(u1_struct_0(A)))) ) ) ) ) ).
fof(t28_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => v1_rlsub_1(k6_c0sp2(A), k10_funcsdom(u1_struct_0(A)))) ) ).
fof(d7_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => k7_c0sp2(A)=g1_rlvect_1(k6_c0sp2(A), k7_rsspace(k10_funcsdom(u1_struct_0(A)), k6_c0sp2(A)), k5_rsspace(k10_funcsdom(u1_struct_0(A)), k6_c0sp2(A)), k6_rsspace(k10_funcsdom(u1_struct_0(A)), k6_c0sp2(A)))) ) ).
fof(t29_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => m1_rlsub_1(k7_c0sp2(A), k10_funcsdom(u1_struct_0(A)))) ) ).
fof(t30_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (r2_tarski(B, k6_c0sp2(A)) => r2_tarski(B, k6_c0sp1(u1_struct_0(A)))) ) ) ) ).
fof(d8_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => k8_c0sp2(A)=k2_partfun1(k6_c0sp1(u1_struct_0(A)), k1_numbers, k10_c0sp1(u1_struct_0(A)), k6_c0sp2(A))) ) ).
fof(d9_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => k9_c0sp2(A)=g1_normsp_1(k6_c0sp2(A), k7_rsspace(k10_funcsdom(u1_struct_0(A)), k6_c0sp2(A)), k5_rsspace(k10_funcsdom(u1_struct_0(A)), k6_c0sp2(A)), k6_rsspace(k10_funcsdom(u1_struct_0(A)), k6_c0sp2(A)), k8_c0sp2(A))) ) ).
fof(t31_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (r2_tarski(B, k6_c0sp2(A)) => r2_tarski(B, k2_c0sp2(A))) ) ) ) ).
fof(t32_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => k4_struct_0(k7_c0sp2(A))=k1_c0sp2(A, k5_numbers)) ) ).
fof(t33_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => k4_struct_0(k9_c0sp2(A))=k1_c0sp2(A, k5_numbers)) ) ).
fof(t34_c0sp2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_c0sp2(B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_c0sp2(B))) =>  ( (k2_normsp_0(k9_c0sp2(B), C)=k5_numbers => C=k4_struct_0(k9_c0sp2(B)))  &  ( (C=k4_struct_0(k9_c0sp2(B)) => k2_normsp_0(k9_c0sp2(B), C)=k5_numbers)  &  (k2_normsp_0(k9_c0sp2(B), k1_rlvect_1(k9_c0sp2(B), C, A))=k3_xcmplx_0(k9_complex1(A), k2_normsp_0(k9_c0sp2(B), C)) & r1_xxreal_0(k2_normsp_0(k9_c0sp2(B), k1_algstr_0(k9_c0sp2(B), C, D)), k2_xcmplx_0(k2_normsp_0(k9_c0sp2(B), C), k2_normsp_0(k9_c0sp2(B), D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => v2_normsp_1(k9_c0sp2(A))) ) ).
fof(t36_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( ~ (v2_struct_0(k9_c0sp2(A)))  &  (v13_algstr_0(k9_c0sp2(A)) &  (v2_rlvect_1(k9_c0sp2(A)) &  (v3_rlvect_1(k9_c0sp2(A)) &  (v4_rlvect_1(k9_c0sp2(A)) &  (v5_rlvect_1(k9_c0sp2(A)) &  (v6_rlvect_1(k9_c0sp2(A)) &  (v7_rlvect_1(k9_c0sp2(A)) &  (v8_rlvect_1(k9_c0sp2(A)) &  (v3_normsp_0(k9_c0sp2(A)) &  (v4_normsp_0(k9_c0sp2(A)) &  (v2_normsp_1(k9_c0sp2(A)) & l1_normsp_1(k9_c0sp2(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_c0sp2, axiom,  (! [A, B] :  ( (l1_struct_0(A) & v1_xreal_0(B))  =>  (v1_funct_1(k1_c0sp2(A, B)) &  (v1_funct_2(k1_c0sp2(A, B), u1_struct_0(A), k1_numbers) & m1_subset_1(k1_c0sp2(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) ).
fof(dt_k2_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => m1_subset_1(k2_c0sp2(A), k1_zfmisc_1(u1_struct_0(k12_funcsdom(u1_struct_0(A)))))) ) ).
fof(dt_k3_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => l1_funcsdom(k3_c0sp2(A))) ) ).
fof(dt_k4_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  =>  (v1_funct_1(k4_c0sp2(A)) &  (v1_funct_2(k4_c0sp2(A), k2_c0sp2(A), k1_numbers) & m1_subset_1(k4_c0sp2(A), k1_zfmisc_1(k2_zfmisc_1(k2_c0sp2(A), k1_numbers)))) ) ) ) ).
fof(dt_k5_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  => l1_lopban_2(k5_c0sp2(A))) ) ).
fof(dt_k6_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( ~ (v1_xboole_0(k6_c0sp2(A)))  & m1_subset_1(k6_c0sp2(A), k1_zfmisc_1(u1_struct_0(k10_funcsdom(u1_struct_0(A)))))) ) ) ).
fof(dt_k7_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( ~ (v2_struct_0(k7_c0sp2(A)))  &  (v13_algstr_0(k7_c0sp2(A)) &  (v2_rlvect_1(k7_c0sp2(A)) &  (v3_rlvect_1(k7_c0sp2(A)) &  (v4_rlvect_1(k7_c0sp2(A)) &  (v5_rlvect_1(k7_c0sp2(A)) &  (v6_rlvect_1(k7_c0sp2(A)) &  (v7_rlvect_1(k7_c0sp2(A)) &  (v8_rlvect_1(k7_c0sp2(A)) & l1_rlvect_1(k7_c0sp2(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k8_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v1_funct_1(k8_c0sp2(A)) &  (v1_funct_2(k8_c0sp2(A), k6_c0sp2(A), k1_numbers) & m1_subset_1(k8_c0sp2(A), k1_zfmisc_1(k2_zfmisc_1(k6_c0sp2(A), k1_numbers)))) ) ) ) ).
fof(dt_k9_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( ~ (v2_struct_0(k9_c0sp2(A)))  & l1_normsp_1(k9_c0sp2(A))) ) ) ).
fof(d2_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => k2_c0sp2(A)=a_1_0_c0sp2(A)) ) ).
fof(d6_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => k6_c0sp2(A)=a_1_1_c0sp2(A)) ) ).
fof(fraenkel_a_1_0_c0sp2, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (r2_hidden(A, a_1_0_c0sp2(B)) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), k1_numbers) &  (v1_pscomp_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_numbers)))) ) )  & A=C) ) ) ) ) ).
fof(fraenkel_a_1_1_c0sp2, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (r2_hidden(A, a_1_1_c0sp2(B)) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_numbers)))) )  &  (A=C &  (v1_pscomp_1(C, B) &  (? [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))))  &  (v2_compts_1(D, B) &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) =>  (E=k13_pre_poly(C) => m1_subset_1(k2_pre_topc(B, E), k1_zfmisc_1(D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_calcul_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  ( ( ~ (r1_xxreal_0(k3_finseq_1(B), k5_numbers))  =>  (C=k1_calcul_1(A, B) <=>  (! [D] :  (v7_ordinal1(D) =>  (k3_finseq_1(B)=k1_nat_1(D, 1) => r2_relset_1(k4_ordinal1, A, C, k2_partfun1(k4_ordinal1, A, B, k2_finseq_1(D)))) ) ) ) )  &  (r1_xxreal_0(k3_finseq_1(B), k5_numbers) =>  (C=k1_calcul_1(A, B) <=> C=k1_xboole_0) ) ) ) ) ) ) ) ) ).
fof(d2_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) =>  ( ( ~ (r1_xxreal_0(k3_finseq_1(B), k5_numbers))  => k2_calcul_1(A, B)=k1_funct_1(B, k3_finseq_1(B)))  &  (r1_xxreal_0(k3_finseq_1(B), k5_numbers) => k2_calcul_1(A, B)=k5_cqc_lang(A)) ) ) ) ) ) ).
fof(d3_calcul_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r1_calcul_1(A, B) <=> r2_tarski(B, k10_xtuple_0(A))) ) ) ) ).
fof(d4_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) =>  (! [C] :  (m2_finseq_1(C, k3_cqc_lang(A)) =>  (r2_calcul_1(A, B, C) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(k4_ordinal1)) & r1_relset_1(k4_ordinal1, k3_cqc_lang(A), B, k15_finseq_1(k2_partfun1(k4_ordinal1, k3_cqc_lang(A), C, D)))) ) ) ) ) ) ) ) ) ).
fof(t1_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) =>  (! [C] :  (m2_finseq_1(C, k3_cqc_lang(A)) =>  (r2_calcul_1(A, B, C) =>  (r1_tarski(k2_relset_1(k3_cqc_lang(A), B), k2_relset_1(k3_cqc_lang(A), C)) &  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(k4_ordinal1)) & r1_tarski(k2_relset_1(k3_cqc_lang(A), B), k2_relset_1(k3_cqc_lang(A), k2_partfun1(k4_ordinal1, k3_cqc_lang(A), C, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t2_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) =>  ( ~ (r1_xxreal_0(k3_finseq_1(B), k5_numbers))  =>  (k1_nat_1(k3_finseq_1(k1_calcul_1(k3_cqc_lang(A), B)), 1)=k3_finseq_1(B) &  ~ (r1_xxreal_0(k3_finseq_1(B), k3_finseq_1(k1_calcul_1(k3_cqc_lang(A), B)))) ) ) ) ) ) ) ).
fof(t3_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) =>  ( ~ (r1_xxreal_0(k3_finseq_1(B), k5_numbers))  =>  (r2_relset_1(k4_ordinal1, k3_cqc_lang(A), B, k8_finseq_1(k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), B), k12_finseq_1(k3_cqc_lang(A), k2_calcul_1(A, B)))) & k2_relset_1(k3_cqc_lang(A), B)=k4_subset_1(k3_cqc_lang(A), k2_relset_1(k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), B)), k6_domain_1(k3_cqc_lang(A), k2_calcul_1(A, B)))) ) ) ) ) ) ).
fof(t4_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) =>  ~ ( ( ~ (r1_xxreal_0(k3_finseq_1(B), 1))  & r1_xxreal_0(k3_finseq_1(k1_calcul_1(k3_cqc_lang(A), B)), k5_numbers)) ) ) ) ) ) ).
fof(t5_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_finseq_1(C, k3_cqc_lang(A)) =>  (k2_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), C, k12_finseq_1(k3_cqc_lang(A), B)))=B & r2_relset_1(k4_ordinal1, k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), k8_finseq_1(k3_cqc_lang(A), C, k12_finseq_1(k3_cqc_lang(A), B))), C)) ) ) ) ) ) ) ).
fof(t6_calcul_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r1_xxreal_0(k3_finseq_1(A), k3_finseq_1(k7_finseq_1(A, B))) &  (r1_xxreal_0(k3_finseq_1(B), k3_finseq_1(k7_finseq_1(A, B))) &  ( ~ (A=k1_xboole_0)  =>  (r1_xxreal_0(1, k3_finseq_1(A)) &  ~ (r1_xxreal_0(k3_finseq_1(k7_finseq_1(B, A)), k3_finseq_1(B))) ) ) ) ) ) ) ) ) ).
fof(t7_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) =>  (! [C] :  (m2_finseq_1(C, k3_cqc_lang(A)) => k15_finseq_1(k2_partfun1(k4_ordinal1, k3_cqc_lang(A), k8_finseq_1(k3_cqc_lang(A), B, C), k1_relset_1(k4_ordinal1, B)))=k2_partfun1(k4_ordinal1, k3_cqc_lang(A), k8_finseq_1(k3_cqc_lang(A), B, C), k1_relset_1(k4_ordinal1, B))) ) ) ) ) ) ).
fof(t8_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) =>  (! [C] :  (m2_finseq_1(C, k3_cqc_lang(A)) => r2_calcul_1(A, B, k8_finseq_1(k3_cqc_lang(A), B, C))) ) ) ) ) ) ).
fof(t9_calcul_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ~ (r1_xxreal_0(k3_finseq_1(k7_finseq_1(k7_finseq_1(C, k9_finseq_1(A)), k9_finseq_1(B))), 1)) ) ) ) ) ).
fof(t10_calcul_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r1_xxreal_0(1, k3_finseq_1(k7_finseq_1(B, k9_finseq_1(A)))) & r2_tarski(k3_finseq_1(k7_finseq_1(B, k9_finseq_1(A))), k1_relset_1(k4_ordinal1, k7_finseq_1(B, k9_finseq_1(A))))) ) ) ) ).
fof(t11_calcul_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k3_finseq_1(k14_finseq_1(k2_xboole_0(k2_finseq_1(B), k1_tarski(k2_xcmplx_0(B, A)))))=k1_nat_1(B, 1)) ) ) ) ) ).
fof(t12_calcul_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k1_relset_1(k4_ordinal1, k14_finseq_1(k2_xboole_0(k2_finseq_1(B), k1_tarski(k2_xcmplx_0(B, A)))))=k2_finseq_1(k1_nat_1(B, 1))) ) ) ) ) ).
fof(t13_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) =>  (! [C] :  (m2_finseq_1(C, k3_cqc_lang(A)) =>  ( ~ (r1_xxreal_0(k3_finseq_1(B), k5_numbers))  => r2_calcul_1(A, B, k8_finseq_1(k3_cqc_lang(A), k8_finseq_1(k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), B), C), k12_finseq_1(k3_cqc_lang(A), k2_calcul_1(A, B))))) ) ) ) ) ) ) ).
fof(t14_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (! [C] :  (! [D] :  (m2_finseq_1(D, k3_cqc_lang(A)) =>  (r2_tarski(1, k1_relset_1(k4_ordinal1, k10_finseq_1(B, C))) &  (r2_tarski(2, k1_relset_1(k4_ordinal1, k10_finseq_1(B, C))) &  (k1_funct_1(k7_finseq_1(D, k10_finseq_1(B, C)), k1_nat_1(k3_finseq_1(D), 1))=B & k1_funct_1(k7_finseq_1(D, k10_finseq_1(B, C)), k1_nat_1(k3_finseq_1(D), 2))=C) ) ) ) ) ) ) ) ) ).
fof(d5_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_qc_lang1(A))) =>  (C=k3_calcul_1(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (? [E] :  (v7_ordinal1(E) &  (? [F] :  (m2_subset_1(F, k9_qc_lang1(A), k3_cqc_lang(A)) &  (r2_tarski(E, k1_relset_1(k4_ordinal1, B)) &  (F=k1_funct_1(B, E) & r2_hidden(D, k24_qc_lang1(A, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (B=k4_calcul_1(A) <=>  (! [C] :  (r2_hidden(C, B) <=> m2_finseq_1(C, k3_cqc_lang(A))) ) ) ) ) ) ).
fof(d7_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k2_zfmisc_1(k4_calcul_1(A), k2_cqc_the1)) =>  (! [C] :  (v7_ordinal1(C) =>  ( (k2_xtuple_0(k1_funct_1(B, C))=k5_numbers =>  (r3_calcul_1(A, B, C) <=>  (? [D] :  (m2_finseq_1(D, k3_cqc_lang(A)) &  (r1_calcul_1(k1_calcul_1(k3_cqc_lang(A), D), k2_calcul_1(A, D)) & k1_xtuple_0(k1_funct_1(B, C))=D) ) ) ) )  &  ( (k2_xtuple_0(k1_funct_1(B, C))=1 =>  (r3_calcul_1(A, B, C) <=>  (? [D] :  (m2_finseq_1(D, k3_cqc_lang(A)) & k1_xtuple_0(k1_funct_1(B, C))=k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), k5_cqc_lang(A)))) ) ) )  &  ( (k2_xtuple_0(k1_funct_1(B, C))=2 =>  (r3_calcul_1(A, B, C) <=>  (? [D] :  (v7_ordinal1(D) &  (? [E] :  (m2_finseq_1(E, k3_cqc_lang(A)) &  (? [F] :  (m2_finseq_1(F, k3_cqc_lang(A)) &  (r1_xxreal_0(1, D) &  ( ~ (r1_xxreal_0(C, D))  &  (r2_calcul_1(A, k1_calcul_1(k3_cqc_lang(A), E), k1_calcul_1(k3_cqc_lang(A), F)) &  (k2_calcul_1(A, E)=k2_calcul_1(A, F) &  (k1_xtuple_0(k1_funct_1(B, D))=E & k1_xtuple_0(k1_funct_1(B, C))=F) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (k2_xtuple_0(k1_funct_1(B, C))=3 =>  (r3_calcul_1(A, B, C) <=>  (? [D] :  (v7_ordinal1(D) &  (? [E] :  (v7_ordinal1(E) &  (? [F] :  (m2_finseq_1(F, k3_cqc_lang(A)) &  (? [G] :  (m2_finseq_1(G, k3_cqc_lang(A)) &  (r1_xxreal_0(1, D) &  ( ~ (r1_xxreal_0(C, D))  &  (r1_xxreal_0(1, E) &  ( ~ (r1_xxreal_0(D, E))  &  ( ~ (r1_xxreal_0(k3_finseq_1(F), 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(G), 1))  &  (r2_relset_1(k4_ordinal1, k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), F)), k1_calcul_1(k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), G))) &  (k6_cqc_lang(A, k2_calcul_1(A, k1_calcul_1(k3_cqc_lang(A), F)))=k2_calcul_1(A, k1_calcul_1(k3_cqc_lang(A), G)) &  (k2_calcul_1(A, F)=k2_calcul_1(A, G) &  (F=k1_xtuple_0(k1_funct_1(B, E)) &  (G=k1_xtuple_0(k1_funct_1(B, D)) & k8_finseq_1(k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), F)), k12_finseq_1(k3_cqc_lang(A), k2_calcul_1(A, F)))=k1_xtuple_0(k1_funct_1(B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (k2_xtuple_0(k1_funct_1(B, C))=4 =>  (r3_calcul_1(A, B, C) <=>  (? [D] :  (v7_ordinal1(D) &  (? [E] :  (v7_ordinal1(E) &  (? [F] :  (m2_finseq_1(F, k3_cqc_lang(A)) &  (? [G] :  (m2_finseq_1(G, k3_cqc_lang(A)) &  (? [H] :  (m2_subset_1(H, k9_qc_lang1(A), k3_cqc_lang(A)) &  (r1_xxreal_0(1, D) &  ( ~ (r1_xxreal_0(C, D))  &  (r1_xxreal_0(1, E) &  ( ~ (r1_xxreal_0(D, E))  &  ( ~ (r1_xxreal_0(k3_finseq_1(F), 1))  &  (r2_relset_1(k4_ordinal1, k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), F), k1_calcul_1(k3_cqc_lang(A), G)) &  (k2_calcul_1(A, k1_calcul_1(k3_cqc_lang(A), F))=k6_cqc_lang(A, H) &  (k6_cqc_lang(A, k2_calcul_1(A, F))=k2_calcul_1(A, G) &  (F=k1_xtuple_0(k1_funct_1(B, E)) &  (G=k1_xtuple_0(k1_funct_1(B, D)) & k8_finseq_1(k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), F)), k12_finseq_1(k3_cqc_lang(A), H))=k1_xtuple_0(k1_funct_1(B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (k2_xtuple_0(k1_funct_1(B, C))=5 =>  (r3_calcul_1(A, B, C) <=>  (? [D] :  (v7_ordinal1(D) &  (? [E] :  (v7_ordinal1(E) &  (? [F] :  (m2_finseq_1(F, k3_cqc_lang(A)) &  (? [G] :  (m2_finseq_1(G, k3_cqc_lang(A)) &  (r1_xxreal_0(1, D) &  ( ~ (r1_xxreal_0(C, D))  &  (r1_xxreal_0(1, E) &  ( ~ (r1_xxreal_0(D, E))  &  (r2_relset_1(k4_ordinal1, k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), F), k1_calcul_1(k3_cqc_lang(A), G)) &  (F=k1_xtuple_0(k1_funct_1(B, E)) &  (G=k1_xtuple_0(k1_funct_1(B, D)) & k8_finseq_1(k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), F), k12_finseq_1(k3_cqc_lang(A), k7_cqc_lang(A, k2_calcul_1(A, F), k2_calcul_1(A, G))))=k1_xtuple_0(k1_funct_1(B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (k2_xtuple_0(k1_funct_1(B, C))=6 =>  (r3_calcul_1(A, B, C) <=>  (? [D] :  (v7_ordinal1(D) &  (? [E] :  (m2_finseq_1(E, k3_cqc_lang(A)) &  (? [F] :  (m2_subset_1(F, k9_qc_lang1(A), k3_cqc_lang(A)) &  (? [G] :  (m2_subset_1(G, k9_qc_lang1(A), k3_cqc_lang(A)) &  (r1_xxreal_0(1, D) &  ( ~ (r1_xxreal_0(C, D))  &  (k7_cqc_lang(A, F, G)=k2_calcul_1(A, E) &  (E=k1_xtuple_0(k1_funct_1(B, D)) & k8_finseq_1(k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), E), k12_finseq_1(k3_cqc_lang(A), F))=k1_xtuple_0(k1_funct_1(B, C))) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (k2_xtuple_0(k1_funct_1(B, C))=7 =>  (r3_calcul_1(A, B, C) <=>  (? [D] :  (v7_ordinal1(D) &  (? [E] :  (m2_finseq_1(E, k3_cqc_lang(A)) &  (? [F] :  (m2_subset_1(F, k9_qc_lang1(A), k3_cqc_lang(A)) &  (? [G] :  (m2_subset_1(G, k9_qc_lang1(A), k3_cqc_lang(A)) &  (r1_xxreal_0(1, D) &  ( ~ (r1_xxreal_0(C, D))  &  (k7_cqc_lang(A, F, G)=k2_calcul_1(A, E) &  (E=k1_xtuple_0(k1_funct_1(B, D)) & k8_finseq_1(k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), E), k12_finseq_1(k3_cqc_lang(A), G))=k1_xtuple_0(k1_funct_1(B, C))) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (k2_xtuple_0(k1_funct_1(B, C))=8 =>  (r3_calcul_1(A, B, C) <=>  (? [D] :  (v7_ordinal1(D) &  (? [E] :  (m2_finseq_1(E, k3_cqc_lang(A)) &  (? [F] :  (m2_subset_1(F, k9_qc_lang1(A), k3_cqc_lang(A)) &  (? [G] :  (m2_subset_1(G, k2_qc_lang1(A), k3_qc_lang1(A)) &  (? [H] :  (m2_subset_1(H, k2_qc_lang1(A), k3_qc_lang1(A)) &  (r1_xxreal_0(1, D) &  ( ~ (r1_xxreal_0(C, D))  &  (k2_calcul_1(A, E)=k11_cqc_lang(A, G, F) &  (E=k1_xtuple_0(k1_funct_1(B, D)) & k8_finseq_1(k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), E), k12_finseq_1(k3_cqc_lang(A), k4_substut2(A, F, G, H)))=k1_xtuple_0(k1_funct_1(B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (k2_xtuple_0(k1_funct_1(B, C))=9 =>  (r3_calcul_1(A, B, C) <=>  (? [D] :  (v7_ordinal1(D) &  (? [E] :  (m2_finseq_1(E, k3_cqc_lang(A)) &  (? [F] :  (m2_subset_1(F, k9_qc_lang1(A), k3_cqc_lang(A)) &  (? [G] :  (m2_subset_1(G, k2_qc_lang1(A), k3_qc_lang1(A)) &  (? [H] :  (m2_subset_1(H, k2_qc_lang1(A), k3_qc_lang1(A)) &  (r1_xxreal_0(1, D) &  ( ~ (r1_xxreal_0(C, D))  &  (k2_calcul_1(A, E)=k4_substut2(A, F, G, H) &  ( ~ (r2_tarski(H, k3_calcul_1(A, k1_calcul_1(k3_cqc_lang(A), E))))  &  ( ~ (r2_tarski(H, k24_qc_lang1(A, k11_cqc_lang(A, G, F))))  &  (E=k1_xtuple_0(k1_funct_1(B, D)) & k8_finseq_1(k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), E), k12_finseq_1(k3_cqc_lang(A), k11_cqc_lang(A, G, F)))=k1_xtuple_0(k1_funct_1(B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k2_zfmisc_1(k4_calcul_1(A), k2_cqc_the1)) =>  (v1_calcul_1(B, A) <=>  ( ~ (B=k1_xboole_0)  &  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, k3_finseq_1(B)))  => r3_calcul_1(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(d9_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) =>  (r4_calcul_1(A, B) <=>  (? [C] :  (m2_finseq_1(C, k2_zfmisc_1(k4_calcul_1(A), k2_cqc_the1)) &  (v1_calcul_1(C, A) & B=k1_xtuple_0(k1_funct_1(C, k3_finseq_1(C)))) ) ) ) ) ) ) ) ).
fof(d10_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) =>  (r5_calcul_1(A, B, C) <=>  (? [D] :  (m2_finseq_1(D, k3_cqc_lang(A)) &  (r1_tarski(k2_relset_1(k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), D)), C) &  (k2_calcul_1(A, D)=B & r4_calcul_1(A, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_valuat_1(D, A, C) =>  (! [E] :  (m2_funct_2(E, k3_qc_lang1(A), C, k2_valuat_1(A, C)) =>  (r6_calcul_1(A, B, C, D, E) <=>  (! [F] :  (m2_subset_1(F, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r2_tarski(F, B) => r1_valuat_1(A, C, F, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r7_calcul_1(A, B, C) <=>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_valuat_1(E, A, D) =>  (! [F] :  (m2_funct_2(F, k3_qc_lang1(A), D, k2_valuat_1(A, D)) =>  (r6_calcul_1(A, B, D, E, F) => r1_valuat_1(A, D, C, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r8_calcul_1(A, B) <=> r7_calcul_1(A, k1_subset_1(k3_cqc_lang(A)), B)) ) ) ) ) ).
fof(d14_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_valuat_1(D, A, C) =>  (! [E] :  (m2_funct_2(E, k3_qc_lang1(A), C, k2_valuat_1(A, C)) =>  (r9_calcul_1(A, B, C, D, E) <=> r6_calcul_1(A, k2_relset_1(k3_cqc_lang(A), B), C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r10_calcul_1(A, B, C) <=>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_valuat_1(E, A, D) =>  (! [F] :  (m2_funct_2(F, k3_qc_lang1(A), D, k2_valuat_1(A, D)) =>  (r9_calcul_1(A, B, D, E, F) => r1_valuat_1(A, D, C, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) =>  (r1_calcul_1(k1_calcul_1(k3_cqc_lang(A), B), k2_calcul_1(A, B)) => r10_calcul_1(A, k1_calcul_1(k3_cqc_lang(A), B), k2_calcul_1(A, B))) ) ) ) ) ).
fof(t16_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) =>  (! [C] :  (m2_finseq_1(C, k3_cqc_lang(A)) =>  ( (r2_calcul_1(A, k1_calcul_1(k3_cqc_lang(A), B), k1_calcul_1(k3_cqc_lang(A), C)) &  (k2_calcul_1(A, B)=k2_calcul_1(A, C) & r10_calcul_1(A, k1_calcul_1(k3_cqc_lang(A), B), k2_calcul_1(A, B))) )  => r10_calcul_1(A, k1_calcul_1(k3_cqc_lang(A), C), k2_calcul_1(A, C))) ) ) ) ) ) ) ).
fof(t17_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_valuat_1(C, A, B) =>  (! [D] :  (m2_funct_2(D, k3_qc_lang1(A), B, k2_valuat_1(A, B)) =>  (! [E] :  (m2_finseq_1(E, k3_cqc_lang(A)) =>  ( ~ (r1_xxreal_0(k3_finseq_1(E), k5_numbers))  =>  ( (r9_calcul_1(A, k1_calcul_1(k3_cqc_lang(A), E), B, C, D) & r1_valuat_1(A, B, k2_calcul_1(A, E), C, D))  <=> r9_calcul_1(A, E, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) =>  (! [C] :  (m2_finseq_1(C, k3_cqc_lang(A)) =>  ( (r2_relset_1(k4_ordinal1, k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), B)), k1_calcul_1(k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), C))) &  (k6_cqc_lang(A, k2_calcul_1(A, k1_calcul_1(k3_cqc_lang(A), B)))=k2_calcul_1(A, k1_calcul_1(k3_cqc_lang(A), C)) &  (k2_calcul_1(A, B)=k2_calcul_1(A, C) &  (r10_calcul_1(A, k1_calcul_1(k3_cqc_lang(A), B), k2_calcul_1(A, B)) & r10_calcul_1(A, k1_calcul_1(k3_cqc_lang(A), C), k2_calcul_1(A, C))) ) ) )  =>  (r1_xxreal_0(k3_finseq_1(B), 1) |  (r1_xxreal_0(k3_finseq_1(C), 1) | r10_calcul_1(A, k1_calcul_1(k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), B)), k2_calcul_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(t19_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_finseq_1(C, k3_cqc_lang(A)) =>  (! [D] :  (m2_finseq_1(D, k3_cqc_lang(A)) =>  ( (r2_relset_1(k4_ordinal1, k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), C), k1_calcul_1(k3_cqc_lang(A), D)) &  (k6_cqc_lang(A, B)=k2_calcul_1(A, k1_calcul_1(k3_cqc_lang(A), C)) &  (k6_cqc_lang(A, k2_calcul_1(A, C))=k2_calcul_1(A, D) &  (r10_calcul_1(A, k1_calcul_1(k3_cqc_lang(A), C), k2_calcul_1(A, C)) & r10_calcul_1(A, k1_calcul_1(k3_cqc_lang(A), D), k2_calcul_1(A, D))) ) ) )  =>  (r1_xxreal_0(k3_finseq_1(C), 1) | r10_calcul_1(A, k1_calcul_1(k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), C)), B)) ) ) ) ) ) ) ) ) ) ).
fof(t20_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) =>  (! [C] :  (m2_finseq_1(C, k3_cqc_lang(A)) =>  ( (r2_relset_1(k4_ordinal1, k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), B), k1_calcul_1(k3_cqc_lang(A), C)) &  (r10_calcul_1(A, k1_calcul_1(k3_cqc_lang(A), B), k2_calcul_1(A, B)) & r10_calcul_1(A, k1_calcul_1(k3_cqc_lang(A), C), k2_calcul_1(A, C))) )  => r10_calcul_1(A, k1_calcul_1(k3_cqc_lang(A), B), k7_cqc_lang(A, k2_calcul_1(A, B), k2_calcul_1(A, C)))) ) ) ) ) ) ) ).
fof(t21_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_finseq_1(D, k3_cqc_lang(A)) =>  (r10_calcul_1(A, k1_calcul_1(k3_cqc_lang(A), D), k7_cqc_lang(A, B, C)) => r10_calcul_1(A, k1_calcul_1(k3_cqc_lang(A), D), B)) ) ) ) ) ) ) ) ) ).
fof(t22_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_finseq_1(D, k3_cqc_lang(A)) =>  (r10_calcul_1(A, k1_calcul_1(k3_cqc_lang(A), D), k7_cqc_lang(A, B, C)) => r10_calcul_1(A, k1_calcul_1(k3_cqc_lang(A), D), C)) ) ) ) ) ) ) ) ) ).
fof(t23_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_valuat_1(D, A, C) =>  (! [E] :  (m2_funct_2(E, k3_qc_lang1(A), C, k2_valuat_1(A, C)) =>  (! [F] :  (m1_subset_1(F, k1_substut1(A)) =>  (r1_sublemma(A, k2_substut2(A, B, F), C, E, D) <=> r1_valuat_1(A, C, B, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  (m1_valuat_1(F, A, E) =>  (! [G] :  (m2_funct_2(G, k3_qc_lang1(A), E, k2_valuat_1(A, E)) =>  (r1_valuat_1(A, E, k4_substut2(A, B, C, D), F, G) <=>  (? [H] :  (m1_subset_1(H, E) &  (k3_funct_2(k3_qc_lang1(A), E, G, D)=H & r1_valuat_1(A, E, B, F, k1_sublemma(A, E, G, k12_sublemma(A, E, C, H)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_finseq_1(D, k3_cqc_lang(A)) =>  ( (k2_calcul_1(A, D)=k11_cqc_lang(A, C, B) & r10_calcul_1(A, k1_calcul_1(k3_cqc_lang(A), D), k2_calcul_1(A, D)))  =>  (! [E] :  (m2_subset_1(E, k2_qc_lang1(A), k3_qc_lang1(A)) => r10_calcul_1(A, k1_calcul_1(k3_cqc_lang(A), D), k4_substut2(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m2_funct_2(D, k3_qc_lang1(A), C, k2_valuat_1(A, C)) =>  (! [E] :  (m1_subset_1(E, C) =>  (! [F] :  (r1_tarski(F, k3_qc_lang1(A)) =>  (r2_tarski(B, F) | r2_relset_1(k3_qc_lang1(A), C, k2_partfun1(k3_qc_lang1(A), C, k1_sublemma(A, C, D, k12_sublemma(A, C, B, E)), F), k2_partfun1(k3_qc_lang1(A), C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_valuat_1(C, A, B) =>  (! [D] :  (m2_finseq_1(D, k3_cqc_lang(A)) =>  (! [E] :  (m2_funct_2(E, k3_qc_lang1(A), B, k2_valuat_1(A, B)) =>  (! [F] :  (m2_funct_2(F, k3_qc_lang1(A), B, k2_valuat_1(A, B)) =>  ( (r2_relset_1(k3_qc_lang1(A), B, k2_partfun1(k3_qc_lang1(A), B, E, k3_calcul_1(A, D)), k2_partfun1(k3_qc_lang1(A), B, F, k3_calcul_1(A, D))) & r9_calcul_1(A, D, B, C, E))  => r9_calcul_1(A, D, B, C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  (m2_funct_2(F, k3_qc_lang1(A), E, k2_valuat_1(A, E)) =>  (! [G] :  (m1_subset_1(G, E) =>  ( ~ (r2_tarski(D, k24_qc_lang1(A, k11_cqc_lang(A, C, B))))  => r2_relset_1(k3_qc_lang1(A), E, k2_partfun1(k3_qc_lang1(A), E, k1_sublemma(A, E, k1_sublemma(A, E, F, k12_sublemma(A, E, D, G)), k12_sublemma(A, E, C, G)), k24_qc_lang1(A, B)), k2_partfun1(k3_qc_lang1(A), E, k1_sublemma(A, E, F, k12_sublemma(A, E, C, G)), k24_qc_lang1(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [E] :  (m2_finseq_1(E, k3_cqc_lang(A)) =>  ( (k2_calcul_1(A, E)=k4_substut2(A, B, C, D) & r10_calcul_1(A, k1_calcul_1(k3_cqc_lang(A), E), k2_calcul_1(A, E)))  =>  (r2_tarski(D, k3_calcul_1(A, k1_calcul_1(k3_cqc_lang(A), E))) |  (r2_tarski(D, k24_qc_lang1(A, k11_cqc_lang(A, C, B))) | r10_calcul_1(A, k1_calcul_1(k3_cqc_lang(A), E), k11_cqc_lang(A, C, B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) => r10_calcul_1(A, k1_calcul_1(k3_cqc_lang(A), k8_finseq_1(k3_cqc_lang(A), B, k12_finseq_1(k3_cqc_lang(A), k5_cqc_lang(A)))), k2_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), B, k12_finseq_1(k3_cqc_lang(A), k5_cqc_lang(A)))))) ) ) ) ).
fof(t31_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k2_zfmisc_1(k4_calcul_1(A), k2_cqc_the1)) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(B)) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(k5_numbers, D) &  (r1_xxreal_0(D, 9) & k2_xtuple_0(k1_funct_1(B, C))=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) =>  (r5_calcul_1(A, B, C) => r7_calcul_1(A, C, B)) ) ) ) ) ) ) ).
fof(t33_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) =>  (r1_calcul_1(k1_calcul_1(k3_cqc_lang(A), B), k2_calcul_1(A, B)) => r4_calcul_1(A, B)) ) ) ) ) ).
fof(t34_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k2_zfmisc_1(k4_calcul_1(A), k2_cqc_the1)) =>  (! [C] :  (m2_finseq_1(C, k2_zfmisc_1(k4_calcul_1(A), k2_cqc_the1)) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, k3_finseq_1(B)))  =>  (r3_calcul_1(A, B, D) <=> r3_calcul_1(A, k8_finseq_1(k2_zfmisc_1(k4_calcul_1(A), k2_cqc_the1), B, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(t35_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, k2_zfmisc_1(k4_calcul_1(A), k2_cqc_the1)) =>  (! [D] :  (m2_finseq_1(D, k2_zfmisc_1(k4_calcul_1(A), k2_cqc_the1)) =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k3_finseq_1(D)) & r3_calcul_1(A, D, B)) )  => r3_calcul_1(A, k8_finseq_1(k2_zfmisc_1(k4_calcul_1(A), k2_cqc_the1), C, D), k1_nat_1(B, k3_finseq_1(C)))) ) ) ) ) ) ) ) ) ).
fof(t36_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) =>  (! [C] :  (m2_finseq_1(C, k3_cqc_lang(A)) =>  ( (r2_calcul_1(A, k1_calcul_1(k3_cqc_lang(A), B), k1_calcul_1(k3_cqc_lang(A), C)) &  (k2_calcul_1(A, B)=k2_calcul_1(A, C) & r4_calcul_1(A, B)) )  => r4_calcul_1(A, C)) ) ) ) ) ) ) ).
fof(t37_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) =>  (! [C] :  (m2_finseq_1(C, k3_cqc_lang(A)) =>  ( (r2_relset_1(k4_ordinal1, k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), B)), k1_calcul_1(k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), C))) &  (k6_cqc_lang(A, k2_calcul_1(A, k1_calcul_1(k3_cqc_lang(A), B)))=k2_calcul_1(A, k1_calcul_1(k3_cqc_lang(A), C)) &  (k2_calcul_1(A, B)=k2_calcul_1(A, C) &  (r4_calcul_1(A, B) & r4_calcul_1(A, C)) ) ) )  =>  (r1_xxreal_0(k3_finseq_1(B), 1) |  (r1_xxreal_0(k3_finseq_1(C), 1) | r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), B)), k12_finseq_1(k3_cqc_lang(A), k2_calcul_1(A, B))))) ) ) ) ) ) ) ) ) ).
fof(t38_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_finseq_1(C, k3_cqc_lang(A)) =>  (! [D] :  (m2_finseq_1(D, k3_cqc_lang(A)) =>  ( (r2_relset_1(k4_ordinal1, k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), C), k1_calcul_1(k3_cqc_lang(A), D)) &  (k2_calcul_1(A, k1_calcul_1(k3_cqc_lang(A), C))=k6_cqc_lang(A, B) &  (k6_cqc_lang(A, k2_calcul_1(A, C))=k2_calcul_1(A, D) &  (r4_calcul_1(A, C) & r4_calcul_1(A, D)) ) ) )  =>  (r1_xxreal_0(k3_finseq_1(C), 1) | r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), C)), k12_finseq_1(k3_cqc_lang(A), B)))) ) ) ) ) ) ) ) ) ) ).
fof(t39_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) =>  (! [C] :  (m2_finseq_1(C, k3_cqc_lang(A)) =>  ( (r2_relset_1(k4_ordinal1, k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), B), k1_calcul_1(k3_cqc_lang(A), C)) &  (r4_calcul_1(A, B) & r4_calcul_1(A, C)) )  => r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), B), k12_finseq_1(k3_cqc_lang(A), k7_cqc_lang(A, k2_calcul_1(A, B), k2_calcul_1(A, C)))))) ) ) ) ) ) ) ).
fof(t40_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_finseq_1(D, k3_cqc_lang(A)) =>  ( (k7_cqc_lang(A, B, C)=k2_calcul_1(A, D) & r4_calcul_1(A, D))  => r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), D), k12_finseq_1(k3_cqc_lang(A), B)))) ) ) ) ) ) ) ) ) ).
fof(t41_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_finseq_1(D, k3_cqc_lang(A)) =>  ( (k7_cqc_lang(A, B, C)=k2_calcul_1(A, D) & r4_calcul_1(A, D))  => r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), D), k12_finseq_1(k3_cqc_lang(A), C)))) ) ) ) ) ) ) ) ) ).
fof(t42_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [E] :  (m2_finseq_1(E, k3_cqc_lang(A)) =>  ( (k2_calcul_1(A, E)=k11_cqc_lang(A, C, B) & r4_calcul_1(A, E))  => r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), E), k12_finseq_1(k3_cqc_lang(A), k4_substut2(A, B, C, D))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [E] :  (m2_finseq_1(E, k3_cqc_lang(A)) =>  ( (k2_calcul_1(A, E)=k4_substut2(A, B, C, D) & r4_calcul_1(A, E))  =>  (r2_tarski(D, k3_calcul_1(A, k1_calcul_1(k3_cqc_lang(A), E))) |  (r2_tarski(D, k24_qc_lang1(A, k11_cqc_lang(A, C, B))) | r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), E), k12_finseq_1(k3_cqc_lang(A), k11_cqc_lang(A, C, B))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_finseq_1(C, k3_cqc_lang(A)) =>  ( (r4_calcul_1(A, C) & r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), C), k12_finseq_1(k3_cqc_lang(A), k6_cqc_lang(A, k2_calcul_1(A, C))))))  => r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), C), k12_finseq_1(k3_cqc_lang(A), B)))) ) ) ) ) ) ) ).
fof(t45_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_finseq_1(C, k3_cqc_lang(A)) =>  ( (r1_xxreal_0(1, k3_finseq_1(C)) &  (r4_calcul_1(A, C) & r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), C, k12_finseq_1(k3_cqc_lang(A), B)))) )  => r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), C), k12_finseq_1(k3_cqc_lang(A), B)))) ) ) ) ) ) ) ).
fof(t46_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_finseq_1(D, k3_cqc_lang(A)) =>  (r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), B)), k12_finseq_1(k3_cqc_lang(A), C))) => r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), k6_cqc_lang(A, C))), k12_finseq_1(k3_cqc_lang(A), k6_cqc_lang(A, B))))) ) ) ) ) ) ) ) ) ).
fof(t47_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_finseq_1(D, k3_cqc_lang(A)) =>  (r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), k6_cqc_lang(A, B))), k12_finseq_1(k3_cqc_lang(A), k6_cqc_lang(A, C)))) => r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), C)), k12_finseq_1(k3_cqc_lang(A), B)))) ) ) ) ) ) ) ) ) ).
fof(t48_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_finseq_1(D, k3_cqc_lang(A)) =>  (r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), k6_cqc_lang(A, B))), k12_finseq_1(k3_cqc_lang(A), C))) => r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), k6_cqc_lang(A, C))), k12_finseq_1(k3_cqc_lang(A), B)))) ) ) ) ) ) ) ) ) ).
fof(t49_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_finseq_1(D, k3_cqc_lang(A)) =>  (r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), B)), k12_finseq_1(k3_cqc_lang(A), k6_cqc_lang(A, C)))) => r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), C)), k12_finseq_1(k3_cqc_lang(A), k6_cqc_lang(A, B))))) ) ) ) ) ) ) ) ) ).
fof(t51_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_finseq_1(D, k3_cqc_lang(A)) =>  (r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), B))) => r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), k9_cqc_lang(A, B, C))))) ) ) ) ) ) ) ) ) ).
fof(t52_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_finseq_1(D, k3_cqc_lang(A)) =>  (r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), C))) => r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), k9_cqc_lang(A, B, C))))) ) ) ) ) ) ) ) ) ).
fof(t53_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m2_finseq_1(E, k3_cqc_lang(A)) =>  ( (r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), k8_finseq_1(k3_cqc_lang(A), E, k12_finseq_1(k3_cqc_lang(A), B)), k12_finseq_1(k3_cqc_lang(A), D))) & r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), k8_finseq_1(k3_cqc_lang(A), E, k12_finseq_1(k3_cqc_lang(A), C)), k12_finseq_1(k3_cqc_lang(A), D))))  => r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), k8_finseq_1(k3_cqc_lang(A), E, k12_finseq_1(k3_cqc_lang(A), k9_cqc_lang(A, B, C))), k12_finseq_1(k3_cqc_lang(A), D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_finseq_1(C, k3_cqc_lang(A)) =>  (r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), C, k12_finseq_1(k3_cqc_lang(A), B))) => r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), C, k12_finseq_1(k3_cqc_lang(A), k6_cqc_lang(A, k6_cqc_lang(A, B)))))) ) ) ) ) ) ) ).
fof(t55_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_finseq_1(C, k3_cqc_lang(A)) =>  (r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), C, k12_finseq_1(k3_cqc_lang(A), k6_cqc_lang(A, k6_cqc_lang(A, B))))) => r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), C, k12_finseq_1(k3_cqc_lang(A), B)))) ) ) ) ) ) ) ).
fof(t56_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_finseq_1(D, k3_cqc_lang(A)) =>  ( (r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), k8_cqc_lang(A, B, C)))) & r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), B))))  => r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), C)))) ) ) ) ) ) ) ) ) ).
fof(t57_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) => k4_substut2(A, k6_cqc_lang(A, B), C, D)=k6_cqc_lang(A, k4_substut2(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t58_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_finseq_1(D, k3_cqc_lang(A)) =>  ( (? [E] :  (m2_subset_1(E, k2_qc_lang1(A), k3_qc_lang1(A)) & r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), k4_substut2(A, B, C, E))))) )  => r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), k12_cqc_lang(A, C, B))))) ) ) ) ) ) ) ) ) ).
fof(t59_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) =>  (! [C] :  (m2_finseq_1(C, k3_cqc_lang(A)) => k3_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), B, C))=k4_subset_1(k3_qc_lang1(A), k3_calcul_1(A, B), k3_calcul_1(A, C))) ) ) ) ) ) ).
fof(t60_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) => k3_calcul_1(A, k12_finseq_1(k3_cqc_lang(A), B))=k24_qc_lang1(A, B)) ) ) ) ).
fof(t61_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [E] :  (m2_subset_1(E, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [F] :  (m2_finseq_1(F, k3_cqc_lang(A)) =>  (r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), k8_finseq_1(k3_cqc_lang(A), F, k12_finseq_1(k3_cqc_lang(A), k4_substut2(A, B, D, E))), k12_finseq_1(k3_cqc_lang(A), C))) =>  (r2_tarski(E, k3_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), k8_finseq_1(k3_cqc_lang(A), F, k12_finseq_1(k3_cqc_lang(A), k12_cqc_lang(A, D, B))), k12_finseq_1(k3_cqc_lang(A), C)))) | r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), k8_finseq_1(k3_cqc_lang(A), F, k12_finseq_1(k3_cqc_lang(A), k12_cqc_lang(A, D, B))), k12_finseq_1(k3_cqc_lang(A), C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) => v1_finset_1(k3_calcul_1(A, B))) ) ) ) ).
fof(t64_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (k1_card_1(k3_qc_lang1(A))=k1_card_1(k1_qc_lang1(A)) &  ~ (v1_finset_1(k3_qc_lang1(A))) ) ) ) ).
fof(t65_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) =>  ~ ( (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) => r2_tarski(C, k3_calcul_1(A, B))) ) ) ) ) ) ) ).
fof(t66_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_finseq_1(D, k3_cqc_lang(A)) =>  (r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), k11_cqc_lang(A, C, B)))) => r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), k11_cqc_lang(A, C, k6_cqc_lang(A, k6_cqc_lang(A, B))))))) ) ) ) ) ) ) ) ) ).
fof(t67_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_finseq_1(D, k3_cqc_lang(A)) =>  (r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), k11_cqc_lang(A, C, k6_cqc_lang(A, k6_cqc_lang(A, B)))))) => r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), k11_cqc_lang(A, C, B))))) ) ) ) ) ) ) ) ) ).
fof(t68_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_finseq_1(D, k3_cqc_lang(A)) =>  (r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), k11_cqc_lang(A, C, B)))) <=> r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), k6_cqc_lang(A, k12_cqc_lang(A, C, k6_cqc_lang(A, B))))))) ) ) ) ) ) ) ) ) ).
fof(d16_calcul_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (r1_calcul_1(A, B) <=>  (? [C] :  (v7_ordinal1(C) &  (r2_tarski(C, k1_relset_1(k4_ordinal1, A)) & k1_funct_1(A, C)=B) ) ) ) ) ) ) ).
fof(dt_k1_calcul_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(B, A))  => m2_finseq_1(k1_calcul_1(A, B), A)) ) ).
fof(dt_k2_calcul_1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_finseq_1(B, k3_cqc_lang(A)))  => m2_subset_1(k2_calcul_1(A, B), k9_qc_lang1(A), k3_cqc_lang(A))) ) ).
fof(dt_k3_calcul_1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_finseq_1(B, k3_cqc_lang(A)))  => m1_subset_1(k3_calcul_1(A, B), k1_zfmisc_1(k3_qc_lang1(A)))) ) ).
fof(t62_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) => k3_calcul_1(A, B)=k3_tarski(a_2_0_calcul_1(A, B))) ) ) ) ).
fof(fraenkel_a_2_0_calcul_1, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(B) & m2_finseq_1(C, k3_cqc_lang(B)))  =>  (r2_hidden(A, a_2_0_calcul_1(B, C)) <=>  (? [D] :  (m2_subset_1(D, k9_qc_lang1(B), k3_cqc_lang(B)) &  (A=k24_qc_lang1(B, D) &  (? [E] :  (v7_ordinal1(E) &  (r2_tarski(E, k1_relset_1(k4_ordinal1, C)) & D=k1_funct_1(C, E)) ) ) ) ) ) ) ) ) ).
fof(fc1_calcul_2, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  => v1_finset_1(k1_calcul_2(A, B))) ) ).
fof(fc2_calcul_2, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_finseq_1(B, k3_cqc_lang(A)))  =>  (v1_finset_1(k1_card_1(B)) & v1_card_1(k1_card_1(B))) ) ) ).
fof(t1_calcul_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k2_calcul_2(A, B)) <=>  (r1_xxreal_0(k2_xcmplx_0(1, A), C) & r1_xxreal_0(C, k2_xcmplx_0(B, A))) ) ) ) ) ) ) ) ).
fof(t2_calcul_2, axiom,  (! [A] :  (v7_ordinal1(A) => k2_calcul_2(A, k5_numbers)=k1_xboole_0) ) ).
fof(t3_calcul_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (B=k5_numbers | r2_tarski(k2_xcmplx_0(B, A), k2_calcul_2(A, B))) ) ) ) ) ).
fof(t4_calcul_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, C) <=> r1_tarski(k2_calcul_2(A, B), k2_calcul_2(A, C))) ) ) ) ) ) ) ).
fof(t5_calcul_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k2_xboole_0(k2_calcul_2(A, B), k1_tarski(k1_nat_1(k2_xcmplx_0(A, B), 1)))=k2_calcul_2(A, k1_nat_1(B, 1))) ) ) ) ).
fof(t6_calcul_2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => r2_wellord2(k2_calcul_2(A, B), B)) ) ) ) ).
fof(t7_calcul_2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => r1_tarski(k2_calcul_2(A, B), k2_finseq_1(k1_nat_1(A, B)))) ) ) ) ).
fof(t8_calcul_2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => r1_xboole_0(k2_finseq_1(B), k2_calcul_2(B, A))) ) ) ) ).
fof(t9_calcul_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => k1_relset_1(k4_ordinal1, k7_finseq_1(A, B))=k4_subset_1(k4_ordinal1, k1_relset_1(k4_ordinal1, A), k2_calcul_2(k3_finseq_1(A), k3_finseq_1(B)))) ) ) ) ).
fof(t10_calcul_2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) =>  (! [C] :  (m2_finseq_1(C, k3_cqc_lang(A)) => k3_finseq_1(k14_finseq_1(k2_calcul_2(k3_finseq_1(C), k3_finseq_1(B))))=k3_finseq_1(B)) ) ) ) ) ) ).
fof(t11_calcul_2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) =>  (! [C] :  (m2_finseq_1(C, k3_cqc_lang(A)) => k1_relset_1(k4_ordinal1, k14_finseq_1(k2_calcul_2(k3_finseq_1(C), k3_finseq_1(B))))=k1_relset_1(k4_ordinal1, B)) ) ) ) ) ) ).
fof(t12_calcul_2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) =>  (! [C] :  (m2_finseq_1(C, k3_cqc_lang(A)) => k2_relset_1(k4_ordinal1, k14_finseq_1(k2_calcul_2(k3_finseq_1(C), k3_finseq_1(B))))=k2_calcul_2(k3_finseq_1(C), k3_finseq_1(B))) ) ) ) ) ) ).
fof(t13_calcul_2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_1(C, k3_cqc_lang(A)) =>  (! [D] :  (m2_finseq_1(D, k3_cqc_lang(A)) =>  (r2_tarski(B, k1_relset_1(k4_ordinal1, k14_finseq_1(k2_calcul_2(k3_finseq_1(D), k3_finseq_1(C))))) => k1_funct_1(k14_finseq_1(k2_calcul_2(k3_finseq_1(D), k3_finseq_1(C))), B)=k1_nat_1(k3_finseq_1(D), B)) ) ) ) ) ) ) ) ) ).
fof(t14_calcul_2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) =>  (! [C] :  (m2_finseq_1(C, k3_cqc_lang(A)) => r1_tarski(k2_calcul_2(k3_finseq_1(C), k3_finseq_1(B)), k1_relset_1(k4_ordinal1, k8_finseq_1(k3_cqc_lang(A), C, B)))) ) ) ) ) ) ).
fof(t15_calcul_2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) =>  (! [C] :  (m2_finseq_1(C, k3_cqc_lang(A)) => k1_relset_1(k4_ordinal1, k5_relset_1(k4_ordinal1, k3_cqc_lang(A), k8_finseq_1(k3_cqc_lang(A), C, B), k2_calcul_2(k3_finseq_1(C), k3_finseq_1(B))))=k2_calcul_2(k3_finseq_1(C), k3_finseq_1(B))) ) ) ) ) ) ).
fof(t16_calcul_2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) =>  (! [C] :  (m2_finseq_1(C, k3_cqc_lang(A)) => k15_finseq_1(k5_relset_1(k4_ordinal1, k3_cqc_lang(A), k8_finseq_1(k3_cqc_lang(A), C, B), k2_calcul_2(k3_finseq_1(C), k3_finseq_1(B))))=k4_relset_1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k3_cqc_lang(A), k14_finseq_1(k2_calcul_2(k3_finseq_1(C), k3_finseq_1(B))), k8_finseq_1(k3_cqc_lang(A), C, B))) ) ) ) ) ) ).
fof(t17_calcul_2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) =>  (! [C] :  (m2_finseq_1(C, k3_cqc_lang(A)) => k1_relset_1(k4_ordinal1, k15_finseq_1(k5_relset_1(k4_ordinal1, k3_cqc_lang(A), k8_finseq_1(k3_cqc_lang(A), C, B), k2_calcul_2(k3_finseq_1(C), k3_finseq_1(B)))))=k1_relset_1(k4_ordinal1, B)) ) ) ) ) ) ).
fof(t18_calcul_2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) =>  (! [C] :  (m2_finseq_1(C, k3_cqc_lang(A)) => r2_calcul_1(A, B, k8_finseq_1(k3_cqc_lang(A), C, B))) ) ) ) ) ) ).
fof(d2_calcul_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_relset_1(k4_ordinal1, B), k1_relset_1(k4_ordinal1, B)) &  (v3_funct_2(C, k1_relset_1(k4_ordinal1, B), k1_relset_1(k4_ordinal1, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_relset_1(k4_ordinal1, B), k1_relset_1(k4_ordinal1, B))))) ) )  => k3_calcul_2(A, B, C)=k4_relset_1(k1_relset_1(k4_ordinal1, B), k1_relset_1(k4_ordinal1, B), k4_ordinal1, A, C, B)) ) ) ) ) ) ).
fof(t19_calcul_2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_relset_1(k4_ordinal1, B), k1_relset_1(k4_ordinal1, B)) &  (v3_funct_2(C, k1_relset_1(k4_ordinal1, B), k1_relset_1(k4_ordinal1, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_relset_1(k4_ordinal1, B), k1_relset_1(k4_ordinal1, B))))) ) )  => k1_relset_1(k4_ordinal1, k3_calcul_2(k3_cqc_lang(A), B, C))=k1_relset_1(k4_ordinal1, B)) ) ) ) ) ) ).
fof(t20_calcul_2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_finseq_1(C, k3_cqc_lang(A)) =>  (! [D] :  (m2_finseq_1(D, k3_cqc_lang(A)) =>  (r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), C, k12_finseq_1(k3_cqc_lang(A), B))) => r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), k8_finseq_1(k3_cqc_lang(A), D, C), k12_finseq_1(k3_cqc_lang(A), B)))) ) ) ) ) ) ) ) ) ).
fof(d3_calcul_2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (r1_xxreal_0(1, k3_finseq_1(B)) =>  (C=k4_calcul_2(A, B) <=> C=k1_funct_1(B, 1)) )  &  ( ~ (r1_xxreal_0(1, k3_finseq_1(B)))  =>  (C=k4_calcul_2(A, B) <=> C=k5_cqc_lang(A)) ) ) ) ) ) ) ) ) ).
fof(d4_calcul_2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) =>  (r1_xxreal_0(1, k3_finseq_1(B)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (C=k5_calcul_2(A, B) <=>  (? [D] :  (m2_finseq_1(D, k3_cqc_lang(A)) &  (C=k1_funct_1(D, k3_finseq_1(B)) &  (k3_finseq_1(D)=k3_finseq_1(B) &  ( (k1_funct_1(D, 1)=k4_calcul_2(A, B) | k3_finseq_1(B)=k5_numbers)  &  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, E) &  ( ~ (r1_xxreal_0(k3_finseq_1(B), E))  &  (! [F] :  (m2_subset_1(F, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [G] :  (m2_subset_1(G, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ~ ( (F=k1_funct_1(B, k1_nat_1(E, 1)) &  (G=k1_funct_1(D, E) & k1_funct_1(D, k1_nat_1(E, 1))=k8_cqc_lang(A, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_calcul_2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_finseq_1(C, k3_cqc_lang(A)) => r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), k8_finseq_1(k3_cqc_lang(A), C, k12_finseq_1(k3_cqc_lang(A), B)), k12_finseq_1(k3_cqc_lang(A), B)))) ) ) ) ) ) ).
fof(t22_calcul_2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_finseq_1(D, k3_cqc_lang(A)) =>  (r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), k7_cqc_lang(A, B, C)))) => r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), B)))) ) ) ) ) ) ) ) ) ).
fof(t23_calcul_2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_finseq_1(D, k3_cqc_lang(A)) =>  (r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), k7_cqc_lang(A, B, C)))) => r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), C)))) ) ) ) ) ) ) ) ) ).
fof(t24_calcul_2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_finseq_1(D, k3_cqc_lang(A)) =>  ( (r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), B))) & r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), B)), k12_finseq_1(k3_cqc_lang(A), C))))  => r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), C)))) ) ) ) ) ) ) ) ) ).
fof(t25_calcul_2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_finseq_1(D, k3_cqc_lang(A)) =>  ( (r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), B))) & r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), k6_cqc_lang(A, B)))))  => r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), C)))) ) ) ) ) ) ) ) ) ).
fof(t26_calcul_2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_finseq_1(D, k3_cqc_lang(A)) =>  ( (r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), B)), k12_finseq_1(k3_cqc_lang(A), C))) & r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), k6_cqc_lang(A, B))), k12_finseq_1(k3_cqc_lang(A), C))))  => r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), C)))) ) ) ) ) ) ) ) ) ).
fof(t27_calcul_2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_finseq_1(D, k3_cqc_lang(A)) =>  (r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), B)), k12_finseq_1(k3_cqc_lang(A), C))) => r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), k8_cqc_lang(A, B, C))))) ) ) ) ) ) ) ) ) ).
fof(t28_calcul_2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) =>  (! [C] :  (m2_finseq_1(C, k3_cqc_lang(A)) =>  ( (r1_xxreal_0(1, k3_finseq_1(C)) & r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), B, C)))  => r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), B, k12_finseq_1(k3_cqc_lang(A), k5_calcul_2(A, k4_finseq_5(k3_cqc_lang(A), C)))))) ) ) ) ) ) ) ).
fof(t29_calcul_2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_finseq_1(C, k3_cqc_lang(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_relset_1(k4_ordinal1, C), k1_relset_1(k4_ordinal1, C)) &  (v3_funct_2(D, k1_relset_1(k4_ordinal1, C), k1_relset_1(k4_ordinal1, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_relset_1(k4_ordinal1, C), k1_relset_1(k4_ordinal1, C))))) ) )  =>  (r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), k3_calcul_2(k3_cqc_lang(A), C, D), k12_finseq_1(k3_cqc_lang(A), k5_calcul_2(A, k4_finseq_5(k3_cqc_lang(A), k8_finseq_1(k3_cqc_lang(A), C, k12_finseq_1(k3_cqc_lang(A), B))))))) => r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), k3_calcul_2(k3_cqc_lang(A), C, D), k12_finseq_1(k3_cqc_lang(A), B)))) ) ) ) ) ) ) ) ) ).
fof(t30_calcul_2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_finseq_1(C, k3_cqc_lang(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_relset_1(k4_ordinal1, C), k1_relset_1(k4_ordinal1, C)) &  (v3_funct_2(D, k1_relset_1(k4_ordinal1, C), k1_relset_1(k4_ordinal1, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_relset_1(k4_ordinal1, C), k1_relset_1(k4_ordinal1, C))))) ) )  =>  (r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), C, k12_finseq_1(k3_cqc_lang(A), B))) => r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), k3_calcul_2(k3_cqc_lang(A), C, D), k12_finseq_1(k3_cqc_lang(A), B)))) ) ) ) ) ) ) ) ) ).
fof(t31_calcul_2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (r1_xxreal_0(1, A) => k10_xtuple_0(k2_finseq_2(A, B))=k10_xtuple_0(k9_finseq_1(B))) ) ) ) ).
fof(t32_calcul_2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m2_finseq_1(E, k3_cqc_lang(A)) =>  ( (r1_xxreal_0(1, D) & r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), k8_finseq_1(k3_cqc_lang(A), E, k6_calcul_2(k3_cqc_lang(A), D, B)), k12_finseq_1(k3_cqc_lang(A), C))))  => r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), k8_finseq_1(k3_cqc_lang(A), E, k12_finseq_1(k3_cqc_lang(A), B)), k12_finseq_1(k3_cqc_lang(A), C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k2_calcul_2, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => m1_subset_1(k2_calcul_2(A, B), k1_zfmisc_1(k4_ordinal1))) ) ).
fof(redefinition_k2_calcul_2, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => k2_calcul_2(A, B)=k1_calcul_2(A, B)) ) ).
fof(dt_k3_calcul_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_finseq_1(B, A) &  (v1_funct_1(C) &  (v1_funct_2(C, k1_relset_1(k4_ordinal1, B), k1_relset_1(k4_ordinal1, B)) &  (v3_funct_2(C, k1_relset_1(k4_ordinal1, B), k1_relset_1(k4_ordinal1, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_relset_1(k4_ordinal1, B), k1_relset_1(k4_ordinal1, B))))) ) ) ) )  => m2_finseq_1(k3_calcul_2(A, B, C), A)) ) ).
fof(dt_k4_calcul_2, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_finseq_1(B, k3_cqc_lang(A)))  => m2_subset_1(k4_calcul_2(A, B), k9_qc_lang1(A), k3_cqc_lang(A))) ) ).
fof(dt_k5_calcul_2, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_finseq_1(B, k3_cqc_lang(A)))  => m2_subset_1(k5_calcul_2(A, B), k9_qc_lang1(A), k3_cqc_lang(A))) ) ).
fof(dt_k6_calcul_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k4_ordinal1) & m1_subset_1(C, A)) )  => m2_finseq_1(k6_calcul_2(A, B, C), A)) ) ).
fof(redefinition_k6_calcul_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k4_ordinal1) & m1_subset_1(C, A)) )  => k6_calcul_2(A, B, C)=k2_finseq_2(B, C)) ) ).
fof(d1_calcul_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k1_calcul_2(A, B)=a_2_0_calcul_2(A, B)) ) ) ) ).
fof(fraenkel_a_2_0_calcul_2, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) & v7_ordinal1(C))  =>  (r2_hidden(A, a_2_0_calcul_2(B, C)) <=>  (? [D] :  (m1_subset_1(D, k4_ordinal1) &  (A=D &  (r1_xxreal_0(k2_xcmplx_0(1, B), D) & r1_xxreal_0(D, k2_xcmplx_0(C, B))) ) ) ) ) ) ) ).
fof(fc1_cantor_1, axiom,  (! [A] :  (l1_pre_topc(A) => v1_cantor_1(u1_pre_topc(A), A)) ) ).
fof(rc1_cantor_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) &  (v1_tops_2(B, A) & v1_cantor_1(B, A)) ) ) ) ) ).
fof(fc2_cantor_1, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  ~ (v1_xboole_0(k2_cantor_1(A, B))) ) ) ).
fof(fc3_cantor_1, axiom,  (! [A] :  (l1_pre_topc(A) => v2_cantor_1(u1_pre_topc(A), A)) ) ).
fof(cc1_cantor_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ( (v1_tops_2(B, A) & v1_cantor_1(B, A))  =>  (v1_tops_2(B, A) &  (v1_cantor_1(B, A) & v2_cantor_1(B, A)) ) ) ) ) ) ) ).
fof(rc2_cantor_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) &  (v1_tops_2(B, A) & v2_cantor_1(B, A)) ) ) ) ) ).
fof(d1_cantor_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (C=k1_cantor_1(A, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (r2_tarski(D, C) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(A))) &  (r1_tarski(E, B) & D=k5_setfam_1(A, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_cantor_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (v1_cantor_1(B, A) <=> r1_tarski(u1_pre_topc(A), k1_cantor_1(u1_struct_0(A), B))) ) ) ) ) ).
fof(t1_cantor_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) => r1_tarski(B, k1_cantor_1(A, B))) ) ) ).
fof(t2_cantor_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v1_tops_2(u1_pre_topc(A), A) &  (v1_cantor_1(u1_pre_topc(A), A) & m1_subset_1(u1_pre_topc(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ) ) ).
fof(t3_cantor_1, axiom,  (! [A] :  (l1_pre_topc(A) => v1_tops_2(u1_pre_topc(A), A)) ) ).
fof(d3_cantor_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (C=k2_cantor_1(A, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (r2_tarski(D, C) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(A))) &  (r1_tarski(E, B) &  (v1_finset_1(E) & D=k8_setfam_1(A, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_cantor_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) => r1_tarski(B, k2_cantor_1(A, B))) ) ) ).
fof(t5_cantor_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => u1_pre_topc(A)=k2_cantor_1(u1_struct_0(A), u1_pre_topc(A))) ) ).
fof(t6_cantor_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => u1_pre_topc(A)=k1_cantor_1(u1_struct_0(A), u1_pre_topc(A))) ) ).
fof(t7_cantor_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => u1_pre_topc(A)=k1_cantor_1(u1_struct_0(A), k2_cantor_1(u1_struct_0(A), u1_pre_topc(A)))) ) ).
fof(t8_cantor_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) => r2_tarski(A, k2_cantor_1(A, B))) ) ) ).
fof(t9_cantor_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (r1_tarski(B, C) => r1_tarski(k1_cantor_1(A, B), k1_cantor_1(A, C))) ) ) ) ) ) ).
fof(t11_cantor_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) => k2_cantor_1(A, B)=k2_cantor_1(A, k2_cantor_1(A, B))) ) ) ).
fof(t12_cantor_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [C] :  (! [D] :  ( (r2_tarski(C, k2_cantor_1(A, B)) & r2_tarski(D, k2_cantor_1(A, B)))  => r2_tarski(k3_xboole_0(C, D), k2_cantor_1(A, B))) ) ) ) ) ) ).
fof(t13_cantor_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [C] :  (! [D] :  ( (r1_tarski(C, k2_cantor_1(A, B)) & r1_tarski(D, k2_cantor_1(A, B)))  => r1_tarski(k3_setfam_1(C, D), k2_cantor_1(A, B))) ) ) ) ) ) ).
fof(t14_cantor_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (r1_tarski(B, C) => r1_tarski(k2_cantor_1(A, B), k2_cantor_1(A, C))) ) ) ) ) ) ).
fof(t15_cantor_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) => v2_pre_topc(g1_pre_topc(A, k1_cantor_1(A, k2_cantor_1(A, B))))) ) ) ) ).
fof(d4_cantor_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (v2_cantor_1(B, A) <=>  (? [C] :  ( (v1_tops_2(C, A) &  (v1_cantor_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) )  & r1_tarski(C, k2_cantor_1(u1_struct_0(A), B))) ) ) ) ) ) ) ).
fof(t16_cantor_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (v1_tops_2(B, g1_pre_topc(A, k1_cantor_1(A, B))) &  (v1_cantor_1(B, g1_pre_topc(A, k1_cantor_1(A, B))) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(g1_pre_topc(A, k1_cantor_1(A, B))))))) ) ) ) ) ) ).
fof(t17_cantor_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_pre_topc(A) &  (v2_pre_topc(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_pre_topc(B) &  (v2_pre_topc(B) & l1_pre_topc(B)) ) )  =>  (! [C] :  ( (v1_tops_2(C, A) &  (v2_cantor_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) )  =>  ( (u1_struct_0(A)=u1_struct_0(B) &  (v1_tops_2(C, B) &  (v2_cantor_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B))))) ) )  => A=B) ) ) ) ) ) ) ).
fof(t18_cantor_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (v1_tops_2(B, g1_pre_topc(A, k1_cantor_1(A, k2_cantor_1(A, B)))) &  (v2_cantor_1(B, g1_pre_topc(A, k1_cantor_1(A, k2_cantor_1(A, B)))) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(g1_pre_topc(A, k1_cantor_1(A, k2_cantor_1(A, B)))))))) ) ) ) ) ) ).
fof(d5_cantor_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_pre_topc(A) &  (v2_pre_topc(A) & l1_pre_topc(A)) ) )  =>  (A=k3_cantor_1 <=>  (u1_struct_0(A)=k4_card_3(k7_funcop_1(k4_ordinal1, k2_tarski(k5_numbers, 1))) &  (? [B] :  ( (v1_tops_2(B, A) &  (v2_cantor_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) )  &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k4_card_3(k7_funcop_1(k4_ordinal1, k2_tarski(k5_numbers, 1))))) =>  (r2_tarski(C, B) <=>  (? [D] :  (v7_ordinal1(D) &  (? [E] :  (v7_ordinal1(E) &  (! [F] :  (m1_subset_1(F, k4_card_3(k7_funcop_1(k4_ordinal1, k2_tarski(k5_numbers, 1)))) =>  (r2_tarski(F, C) <=> k1_funct_1(F, D)=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_cantor_1, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) => m1_subset_1(k1_cantor_1(A, B), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ).
fof(dt_k2_cantor_1, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) => m1_subset_1(k2_cantor_1(A, B), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ).
fof(dt_k3_cantor_1, axiom,  ( ~ (v2_struct_0(k3_cantor_1))  &  (v1_pre_topc(k3_cantor_1) &  (v2_pre_topc(k3_cantor_1) & l1_pre_topc(k3_cantor_1)) ) ) ).
fof(t10_cantor_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(k9_setfam_1(A)))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (C=a_2_0_cantor_1(A, B) => k8_setfam_1(A, C)=k8_setfam_1(A, k5_setfam_1(k9_setfam_1(A), B))) ) ) ) ) ) ).
fof(fraenkel_a_2_0_cantor_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k9_setfam_1(B)))))  =>  (r2_hidden(A, a_2_0_cantor_1(B, C)) <=>  (? [D] :  (m2_subset_1(D, k1_zfmisc_1(k9_setfam_1(B)), C) & A=k8_setfam_1(B, D)) ) ) ) ) ).
fof(rc1_card_1, axiom,  (? [A] : v1_card_1(A)) ).
fof(cc1_card_1, axiom,  (! [A] :  (v1_card_1(A) => v3_ordinal1(A)) ) ).
fof(rd1_card_1, axiom,  (! [A] :  (v1_card_1(A) => k1_card_1(A)=A) ) ).
fof(cc2_card_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_card_1(A)) ) ).
fof(fc1_card_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (v1_xboole_0(k1_card_1(A)) & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc2_card_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (v8_ordinal1(k1_card_1(A)) & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc3_card_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v1_xboole_0(k1_card_1(A)))  & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc4_card_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v8_ordinal1(k1_card_1(A)))  & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc5_card_1, axiom,  (! [A] :  (v3_ordinal1(A) => v1_card_1(k3_card_1(A))) ) ).
fof(cc3_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_card_1(A)) ) ).
fof(fc6_card_1, axiom, v1_card_1(k4_ordinal1)).
fof(fc7_card_1, axiom, v2_card_1(k4_ordinal1)).
fof(cc4_card_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v1_finset_1(A)) ) ).
fof(rc2_card_1, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v1_finset_1(A) & v1_card_1(A)) ) ) ) ) ).
fof(fc8_card_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (v1_finset_1(k1_card_1(A)) & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc9_card_1, axiom,  ~ (v1_finset_1(k4_ordinal1)) ).
fof(rc3_card_1, axiom,  (? [A] :  ~ (v1_finset_1(A)) ) ).
fof(fc10_card_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ( ~ (v1_finset_1(k1_card_1(A)))  & v1_card_1(k1_card_1(A))) ) ) ).
fof(rc4_card_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ).
fof(rc5_card_1, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  & v1_card_1(A)) ) ) ) ) ) ).
fof(fc11_card_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ~ (v1_xboole_0(k6_ordinal1(A))) ) ) ).
fof(cc5_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_finset_1(A)) ) ).
fof(fc12_card_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_finset_1(k1_zfmisc_1(A))) ) ) ).
fof(fc13_card_1, axiom,  (! [A, B] :  ( ( ~ (v1_finset_1(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_finset_1(k2_zfmisc_1(A, B))) ) ) ).
fof(fc14_card_1, axiom,  (! [A, B] :  ( ( ~ (v1_finset_1(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_finset_1(k2_zfmisc_1(B, A))) ) ) ).
fof(rc6_card_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_finset_1(B)) ) ) ) ) ).
fof(cc6_card_1, axiom,  (! [A] :  ( (v3_ordinal1(A) & v1_finset_1(A))  => v7_ordinal1(A)) ) ).
fof(fc15_card_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (v1_relat_1(k1_wellord2(A)) & v1_finset_1(k1_wellord2(A))) ) ) ).
fof(rc7_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] : v3_card_1(B, A)) ) ) ).
fof(cc7_card_1, axiom,  (! [A] :  (v3_card_1(A, k5_ordinal1) => v1_xboole_0(A)) ) ).
fof(cc8_card_1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_card_1(A, k5_ordinal1)) ) ).
fof(fc16_card_1, axiom,  (! [A] : v3_card_1(k1_tarski(A), 1)) ).
fof(rc8_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] :  (v1_relat_1(B) &  (v1_funct_1(B) & v3_card_1(B, A)) ) ) ) ) ).
fof(fc17_card_1, axiom,  (! [A, B] :  ( (v1_card_1(A) &  (v1_relat_1(B) &  (v1_funct_1(B) & v3_card_1(B, A)) ) )  => v3_card_1(k9_xtuple_0(B), A)) ) ).
fof(cc9_card_1, axiom,  (! [A] :  (v3_card_1(A, 1) =>  ( ~ (v1_xboole_0(A))  & v1_zfmisc_1(A)) ) ) ).
fof(cc10_card_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_zfmisc_1(A))  => v3_card_1(A, 1)) ) ).
fof(rc9_card_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v3_card_1(B, 1)) ) ) ) ).
fof(fc18_card_1, axiom,  (! [A, B] :  ( ( ~ (v1_zfmisc_1(A))  &  (v3_card_1(B, 1) & m1_subset_1(B, k1_zfmisc_1(A))) )  =>  ~ (v1_xboole_0(k4_xboole_0(A, B))) ) ) ).
fof(cc11_card_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_card_1(A))  =>  (! [B] :  (v3_card_1(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(fc19_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_finset_1(k6_ordinal1(A))) ) ).
fof(fc20_card_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => v10_ordinal1(k6_ordinal1(A))) ) ).
fof(d1_card_1, axiom,  (! [A] :  (v1_card_1(A) <=>  (? [B] :  (v3_ordinal1(B) &  (A=B &  (! [C] :  (v3_ordinal1(C) =>  (r2_wellord2(C, B) => r1_ordinal1(B, C)) ) ) ) ) ) ) ) ).
fof(t2_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) =>  (r2_wellord2(A, B) => A=B) ) ) ) ) ).
fof(t3_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) =>  (r2_tarski(A, B) <=>  (r1_ordinal1(A, B) &  ~ (A=B) ) ) ) ) ) ) ).
fof(t4_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) =>  (r2_tarski(A, B) <=>  ~ (r1_ordinal1(B, A)) ) ) ) ) ) ).
fof(d2_card_1, axiom,  (! [A] :  (! [B] :  (v1_card_1(B) =>  (B=k1_card_1(A) <=> r2_wellord2(A, B)) ) ) ) ).
fof(t5_card_1, axiom,  (! [A] :  (! [B] :  (r2_wellord2(A, B) <=> k1_card_1(A)=k1_card_1(B)) ) ) ).
fof(t6_card_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v2_wellord1(A) => r2_wellord2(k1_relat_1(A), k2_wellord2(A))) ) ) ).
fof(t7_card_1, axiom,  (! [A] :  (! [B] :  (v1_card_1(B) =>  (r1_tarski(A, B) => r1_ordinal1(k1_card_1(A), B)) ) ) ) ).
fof(t8_card_1, axiom,  (! [A] :  (v3_ordinal1(A) => r1_ordinal1(k1_card_1(A), A)) ) ).
fof(t9_card_1, axiom,  (! [A] :  (! [B] :  (v1_card_1(B) =>  (r2_tarski(A, B) => r2_tarski(k1_card_1(A), B)) ) ) ) ).
fof(t10_card_1, axiom,  (! [A] :  (! [B] :  (r1_ordinal1(k1_card_1(A), k1_card_1(B)) <=>  (? [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  &  (v2_funct_1(C) &  (k9_xtuple_0(C)=A & r1_tarski(k10_xtuple_0(C), B)) ) ) ) ) ) ) ).
fof(t11_card_1, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) => r1_ordinal1(k1_card_1(A), k1_card_1(B))) ) ) ).
fof(t12_card_1, axiom,  (! [A] :  (! [B] :  (r1_ordinal1(k1_card_1(A), k1_card_1(B)) <=>  (? [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  &  (k9_xtuple_0(C)=B & r1_tarski(A, k10_xtuple_0(C))) ) ) ) ) ) ).
fof(t13_card_1, axiom,  (! [A] :  ~ (r2_wellord2(A, k1_zfmisc_1(A))) ) ).
fof(t14_card_1, axiom,  (! [A] : r2_tarski(k1_card_1(A), k1_card_1(k1_zfmisc_1(A)))) ).
fof(d3_card_1, axiom,  (! [A] :  (! [B] :  (v1_card_1(B) =>  (B=k2_card_1(A) <=>  (r2_tarski(k1_card_1(A), B) &  (! [C] :  (v1_card_1(C) =>  (r2_tarski(k1_card_1(A), C) => r1_ordinal1(B, C)) ) ) ) ) ) ) ) ).
fof(t15_card_1, axiom,  (! [A] : r2_tarski(k1_xboole_0, k2_card_1(A))) ).
fof(t16_card_1, axiom,  (! [A] :  (! [B] :  (k1_card_1(A)=k1_card_1(B) => k2_card_1(A)=k2_card_1(B)) ) ) ).
fof(t17_card_1, axiom,  (! [A] :  (! [B] :  (r2_wellord2(A, B) => k2_card_1(A)=k2_card_1(B)) ) ) ).
fof(t18_card_1, axiom,  (! [A] :  (v3_ordinal1(A) => r2_tarski(A, k2_card_1(A))) ) ).
fof(d4_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (v2_card_1(A) <=>  (! [B] :  (v1_card_1(B) =>  ~ (A=k2_card_1(B)) ) ) ) ) ) ).
fof(d5_card_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (B=k3_card_1(A) <=>  (? [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v5_ordinal1(C)) )  &  (B=k1_ordinal2(C) &  (k9_xtuple_0(C)=k1_ordinal1(A) &  (k1_funct_1(C, k5_ordinal1)=k1_card_1(k4_ordinal1) &  ( (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(k1_ordinal1(D), k1_ordinal1(A)) => k1_funct_1(C, k1_ordinal1(D))=k2_card_1(k1_funct_1(C, D))) ) )  &  (! [D] :  (v3_ordinal1(D) =>  ( (r2_tarski(D, k1_ordinal1(A)) & v4_ordinal1(D))  =>  (D=k5_ordinal1 | k1_funct_1(C, D)=k1_card_1(k4_ordinal2(k5_relat_1(C, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_card_1, axiom,  (! [A] :  (v3_ordinal1(A) => k3_card_1(k1_ordinal1(A))=k2_card_1(k3_card_1(A))) ) ).
fof(t20_card_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v4_ordinal1(A) =>  (A=k1_xboole_0 |  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v5_ordinal1(B)) )  =>  ( (k9_xtuple_0(B)=A &  (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(C, A) => k1_funct_1(B, C)=k3_card_1(C)) ) ) )  => k3_card_1(A)=k1_card_1(k4_ordinal2(B))) ) ) ) ) ) ) ).
fof(t21_card_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(A, B) <=> r2_tarski(k3_card_1(A), k3_card_1(B))) ) ) ) ) ).
fof(t22_card_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (k3_card_1(A)=k3_card_1(B) => A=B) ) ) ) ) ).
fof(t23_card_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (r1_ordinal1(A, B) <=> r1_ordinal1(k3_card_1(A), k3_card_1(B))) ) ) ) ) ).
fof(t24_card_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r1_tarski(A, B) &  (r1_tarski(B, C) & r2_wellord2(A, C)) )  =>  (r2_wellord2(A, B) & r2_wellord2(B, C)) ) ) ) ) ).
fof(t25_card_1, axiom,  (! [A] :  (! [B] :  (r1_tarski(k1_zfmisc_1(B), A) =>  (r2_tarski(k1_card_1(B), k1_card_1(A)) &  ~ (r2_wellord2(B, A)) ) ) ) ) ).
fof(t26_card_1, axiom,  (! [A] :  (r2_wellord2(A, k1_xboole_0) => A=k1_xboole_0) ) ).
fof(t27_card_1, axiom, k1_card_1(k1_xboole_0)=k5_ordinal1).
fof(t28_card_1, axiom,  (! [A] :  (! [B] :  (r2_wellord2(A, k1_tarski(B)) <=>  (? [C] : A=k1_tarski(C)) ) ) ) ).
fof(t29_card_1, axiom,  (! [A] :  (! [B] :  (k1_card_1(A)=k1_card_1(k1_tarski(B)) <=>  (? [C] : A=k1_tarski(C)) ) ) ) ).
fof(t30_card_1, axiom,  (! [A] : k1_card_1(k1_tarski(A))=1) ).
fof(t31_card_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (r1_xboole_0(A, B) &  (r1_xboole_0(C, D) &  (r2_wellord2(A, C) & r2_wellord2(B, D)) ) )  => r2_wellord2(k2_xboole_0(A, B), k2_xboole_0(C, D))) ) ) ) ) ).
fof(t32_card_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r2_hidden(B, A) & r2_hidden(C, A))  => r2_wellord2(k6_subset_1(A, k1_tarski(B)), k6_subset_1(A, k1_tarski(C)))) ) ) ) ).
fof(t33_card_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (r1_tarski(A, k9_xtuple_0(B)) & v2_funct_1(B))  => r2_wellord2(A, k7_relat_1(B, A))) ) ) ) ).
fof(t34_card_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (r2_wellord2(A, B) &  (r2_hidden(C, A) & r2_hidden(D, B)) )  => r2_wellord2(k6_subset_1(A, k1_tarski(C)), k6_subset_1(B, k1_tarski(D)))) ) ) ) ) ).
fof(t35_card_1, axiom,  (! [A] :  (! [B] :  (r2_wellord2(k1_ordinal1(A), k1_ordinal1(B)) => r2_wellord2(A, B)) ) ) ).
fof(t36_card_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (A=k1_xboole_0)  &  (! [B] :  (v7_ordinal1(B) =>  ~ (A=k1_ordinal1(B)) ) ) ) ) ) ) ).
fof(t37_card_1, axiom,  (! [A] :  (r2_hidden(A, k4_ordinal1) => v1_card_1(A)) ) ).
fof(t38_card_1, axiom,  (! [A] :  (! [B] :  ( (r2_wellord2(A, B) & v1_finset_1(A))  => v1_finset_1(B)) ) ) ).
fof(t39_card_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_finset_1(A) & v1_finset_1(k1_card_1(A))) ) ) ).
fof(t40_card_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (k1_card_1(B)=k1_card_1(A) => B=A) ) ) ) ) ).
fof(t41_card_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_ordinal1(k1_card_1(B), k1_card_1(A)) <=> r1_ordinal1(B, A)) ) ) ) ) ).
fof(t42_card_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(k1_card_1(B), k1_card_1(A)) <=> r2_tarski(B, A)) ) ) ) ) ).
fof(t44_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => k2_card_1(k1_card_1(A))=k1_card_1(k1_ordinal1(A))) ) ).
fof(t45_card_1, axiom,  (! [A] :  (v1_finset_1(A) => v1_finset_1(k2_card_1(A))) ) ).
fof(t46_card_1, axiom, k3_card_1(k5_ordinal1)=k4_ordinal1).
fof(t47_card_1, axiom, k1_card_1(k4_ordinal1)=k4_ordinal1).
fof(t48_card_1, axiom,  (! [A] :  ( (v1_finset_1(A) & v1_card_1(A))  =>  (? [B] :  (v7_ordinal1(B) & A=k1_card_1(B)) ) ) ) ).
fof(t49_card_1, axiom, 1=k1_tarski(k5_ordinal1)).
fof(t50_card_1, axiom, 2=k2_tarski(k5_ordinal1, 1)).
fof(t51_card_1, axiom, 3=k1_enumset1(k5_ordinal1, 1, 2)).
fof(t52_card_1, axiom, 4=k2_enumset1(k5_ordinal1, 1, 2, 3)).
fof(t53_card_1, axiom, 5=k3_enumset1(k5_ordinal1, 1, 2, 3, 4)).
fof(t54_card_1, axiom, 6=k4_enumset1(k5_ordinal1, 1, 2, 3, 4, 5)).
fof(t55_card_1, axiom, 7=k5_enumset1(k5_ordinal1, 1, 2, 3, 4, 5, 6)).
fof(t56_card_1, axiom, 8=k6_enumset1(k5_ordinal1, 1, 2, 3, 4, 5, 6, 7)).
fof(t57_card_1, axiom, 9=k7_enumset1(k5_ordinal1, 1, 2, 3, 4, 5, 6, 7, 8)).
fof(t58_card_1, axiom, 10=k8_enumset1(k5_ordinal1, 1, 2, 3, 4, 5, 6, 7, 8, 9)).
fof(t59_card_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  ~ ( ( ~ (v1_finset_1(k9_xtuple_0(A)))  &  (v2_funct_1(A) & v1_finset_1(k10_xtuple_0(A))) ) ) ) ) ).
fof(t60_card_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_wellord2(A, B) => A=B) ) ) ) ) ).
fof(t61_card_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_finset_1(A) <=> r2_tarski(A, k4_ordinal1)) ) ) ).
fof(t62_card_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => k1_card_1(A)=k1_card_1(k9_xtuple_0(A))) ) ).
fof(t63_card_1, axiom,  (! [A] :  (v1_finset_1(k1_wellord2(A)) => v1_finset_1(A)) ) ).
fof(t64_card_1, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) => k1_card_1(k7_funcop_1(B, A))=B) ) ) ).
fof(d6_card_1, axiom,  (! [A] :  (! [B] :  (v3_card_1(B, A) <=> k1_card_1(B)=A) ) ) ).
fof(t65_card_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_card_1(B, 1) & m1_subset_1(B, k1_zfmisc_1(A)))  =>  (? [C] :  (m1_subset_1(C, A) & B=k1_tarski(C)) ) ) ) ) ) ).
fof(t66_card_1, axiom,  (! [A] :  (! [B] :  (r1_ordinal1(k1_card_1(A), k1_card_1(B)) <=>  (? [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  & r1_tarski(A, k7_relat_1(C, B))) ) ) ) ) ).
fof(t67_card_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => r1_ordinal1(k1_card_1(k7_relat_1(B, A)), k1_card_1(A))) ) ) ).
fof(t68_card_1, axiom,  (! [A] :  (! [B] :  ~ ( (r2_tarski(k1_card_1(A), k1_card_1(B)) & k6_subset_1(B, A)=k1_xboole_0) ) ) ) ).
fof(t69_card_1, axiom,  (! [A] :  (! [B] :  (r2_wellord2(A, k2_zfmisc_1(A, k1_tarski(B))) & k1_card_1(A)=k1_card_1(k2_zfmisc_1(A, k1_tarski(B)))) ) ) ).
fof(t70_card_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v2_funct_1(A) => k1_card_1(k9_xtuple_0(A))=k1_card_1(k10_xtuple_0(A))) ) ) ).
fof(t71_card_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] : k1_card_1(k8_funct_4(A, B, C))=k1_card_1(A)) ) ) ) ).
fof(s1_card_1, axiom,  ( (p1_s1_card_1(k1_xboole_0) &  ( (! [A] :  (v1_card_1(A) =>  (p1_s1_card_1(A) => p1_s1_card_1(k2_card_1(A))) ) )  &  (! [A] :  (v1_card_1(A) =>  ( (v2_card_1(A) &  (! [B] :  (v1_card_1(B) =>  (r2_tarski(B, A) => p1_s1_card_1(B)) ) ) )  =>  (A=k1_xboole_0 | p1_s1_card_1(A)) ) ) ) ) )  =>  (! [A] :  (v1_card_1(A) => p1_s1_card_1(A)) ) ) ).
fof(s2_card_1, axiom,  ( (! [A] :  (v1_card_1(A) =>  ( (! [B] :  (v1_card_1(B) =>  (r2_tarski(B, A) => p1_s2_card_1(B)) ) )  => p1_s2_card_1(A)) ) )  =>  (! [A] :  (v1_card_1(A) => p1_s2_card_1(A)) ) ) ).
fof(dt_k1_card_1, axiom,  (! [A] : v1_card_1(k1_card_1(A))) ).
fof(projectivity_k1_card_1, axiom,  (! [A] : k1_card_1(k1_card_1(A))=k1_card_1(A)) ).
fof(dt_k2_card_1, axiom,  (! [A] : v1_card_1(k2_card_1(A))) ).
fof(dt_k4_card_1, axiom,  (! [A] :  (v1_finset_1(A) => m1_subset_1(k4_card_1(A), k4_ordinal1)) ) ).
fof(projectivity_k4_card_1, axiom,  (! [A] :  (v1_finset_1(A) => k4_card_1(k4_card_1(A))=k4_card_1(A)) ) ).
fof(redefinition_k4_card_1, axiom,  (! [A] :  (v1_finset_1(A) => k4_card_1(A)=k1_card_1(A)) ) ).
fof(dt_k5_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k5_card_1(A), k1_zfmisc_1(k4_ordinal1))) ) ).
fof(redefinition_k5_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => k5_card_1(A)=k6_ordinal1(A)) ) ).
fof(fc1_card_2, axiom,  (! [A, B] :  ~ (v7_ordinal1(k4_tarski(A, B))) ) ).
fof(cc1_card_2, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v1_card_1(A))  =>  (v4_ordinal1(A) & v1_card_1(A)) ) ) ).
fof(fc2_card_2, axiom,  (! [A, B] :  ( ( (v1_finset_1(A) & v1_card_1(A))  &  (v1_finset_1(B) & v1_card_1(B)) )  =>  (v1_finset_1(k1_card_2(A, B)) & v1_card_1(k1_card_2(A, B))) ) ) ).
fof(fc3_card_2, axiom,  (! [A, B, C] :  ( (v1_finset_1(A) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_finsub_1(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_finsub_1(B))))) ) )  => v1_finset_1(k3_card_3(C))) ) ).
fof(fc4_card_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v2_finset_1(A)) ) )  => v1_finset_1(k4_card_3(A))) ) ).
fof(t1_card_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r2_hidden(A, B) & r2_wellord2(B, C))  =>  ( ~ (C=k1_xboole_0)  &  (? [D] : r2_hidden(D, C)) ) ) ) ) ) ).
fof(t2_card_2, axiom,  (! [A] :  (r2_wellord2(k1_zfmisc_1(A), k1_zfmisc_1(k1_card_1(A))) & k1_card_1(k1_zfmisc_1(A))=k1_card_1(k1_zfmisc_1(k1_card_1(A)))) ) ).
fof(t3_card_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_tarski(C, k1_funct_2(A, B)) =>  (r2_wellord2(C, A) & k1_card_1(C)=k1_card_1(A)) ) ) ) ) ).
fof(d1_card_2, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) => k1_card_2(A, B)=k1_card_1(k10_ordinal2(A, B))) ) ) ) ).
fof(d2_card_2, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) => k2_card_2(A, B)=k1_card_1(k2_zfmisc_1(A, B))) ) ) ) ).
fof(d3_card_2, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) => k3_card_2(A, B)=k1_card_1(k1_funct_2(B, A))) ) ) ) ).
fof(t4_card_2, axiom,  (! [A] :  (! [B] :  (r2_wellord2(k2_zfmisc_1(A, B), k2_zfmisc_1(B, A)) & k1_card_1(k2_zfmisc_1(A, B))=k1_card_1(k2_zfmisc_1(B, A))) ) ) ).
fof(t5_card_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_wellord2(k2_zfmisc_1(k2_zfmisc_1(A, B), C), k2_zfmisc_1(A, k2_zfmisc_1(B, C))) & k1_card_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C))=k1_card_1(k2_zfmisc_1(A, k2_zfmisc_1(B, C)))) ) ) ) ).
fof(t7_card_2, axiom,  (! [A] :  (! [B] :  (r2_wellord2(k2_zfmisc_1(A, B), k2_zfmisc_1(k1_card_1(A), B)) &  (r2_wellord2(k2_zfmisc_1(A, B), k2_zfmisc_1(A, k1_card_1(B))) &  (r2_wellord2(k2_zfmisc_1(A, B), k2_zfmisc_1(k1_card_1(A), k1_card_1(B))) &  (k1_card_1(k2_zfmisc_1(A, B))=k1_card_1(k2_zfmisc_1(k1_card_1(A), B)) &  (k1_card_1(k2_zfmisc_1(A, B))=k1_card_1(k2_zfmisc_1(A, k1_card_1(B))) & k1_card_1(k2_zfmisc_1(A, B))=k1_card_1(k2_zfmisc_1(k1_card_1(A), k1_card_1(B)))) ) ) ) ) ) ) ).
fof(t8_card_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (r2_wellord2(A, C) & r2_wellord2(B, D))  =>  (r2_wellord2(k2_zfmisc_1(A, B), k2_zfmisc_1(C, D)) & k1_card_1(k2_zfmisc_1(A, B))=k1_card_1(k2_zfmisc_1(C, D))) ) ) ) ) ) ).
fof(t9_card_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (! [D] :  ( ~ (C=D)  =>  (r2_wellord2(k10_ordinal2(A, B), k2_xboole_0(k2_zfmisc_1(A, k1_tarski(C)), k2_zfmisc_1(B, k1_tarski(D)))) & k1_card_1(k10_ordinal2(A, B))=k1_card_1(k2_xboole_0(k2_zfmisc_1(A, k1_tarski(C)), k2_zfmisc_1(B, k1_tarski(D))))) ) ) ) ) ) ) ) ).
fof(t10_card_2, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) =>  (! [C] :  (! [D] :  ( ~ (C=D)  =>  (r2_wellord2(k1_card_2(A, B), k2_xboole_0(k2_zfmisc_1(A, k1_tarski(C)), k2_zfmisc_1(B, k1_tarski(D)))) & k1_card_2(A, B)=k1_card_1(k2_xboole_0(k2_zfmisc_1(A, k1_tarski(C)), k2_zfmisc_1(B, k1_tarski(D))))) ) ) ) ) ) ) ) ).
fof(t11_card_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (r2_wellord2(k11_ordinal2(A, B), k2_zfmisc_1(A, B)) & k1_card_1(k11_ordinal2(A, B))=k1_card_1(k2_zfmisc_1(A, B))) ) ) ) ) ).
fof(t12_card_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  ( (r2_wellord2(E, G) & r2_wellord2(F, H))  =>  (A=B |  (C=D |  (r2_wellord2(k2_xboole_0(k2_zfmisc_1(E, k1_tarski(A)), k2_zfmisc_1(F, k1_tarski(B))), k2_xboole_0(k2_zfmisc_1(G, k1_tarski(C)), k2_zfmisc_1(H, k1_tarski(D)))) & k1_card_1(k2_xboole_0(k2_zfmisc_1(E, k1_tarski(A)), k2_zfmisc_1(F, k1_tarski(B))))=k1_card_1(k2_xboole_0(k2_zfmisc_1(G, k1_tarski(C)), k2_zfmisc_1(H, k1_tarski(D))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_card_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) => k1_card_1(k10_ordinal2(A, B))=k1_card_2(k1_card_1(A), k1_card_1(B))) ) ) ) ).
fof(t14_card_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) => k1_card_1(k11_ordinal2(A, B))=k2_card_2(k1_card_1(A), k1_card_1(B))) ) ) ) ).
fof(t15_card_2, axiom,  (! [A] :  (! [B] :  (r2_wellord2(k2_xboole_0(k2_zfmisc_1(A, k1_tarski(k5_numbers)), k2_zfmisc_1(B, k1_tarski(1))), k2_xboole_0(k2_zfmisc_1(B, k1_tarski(k5_numbers)), k2_zfmisc_1(A, k1_tarski(1)))) & k1_card_1(k2_xboole_0(k2_zfmisc_1(A, k1_tarski(k5_numbers)), k2_zfmisc_1(B, k1_tarski(1))))=k1_card_1(k2_xboole_0(k2_zfmisc_1(B, k1_tarski(k5_numbers)), k2_zfmisc_1(A, k1_tarski(1))))) ) ) ).
fof(t16_card_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (r2_wellord2(k2_xboole_0(k2_zfmisc_1(A, B), k2_zfmisc_1(C, D)), k2_xboole_0(k2_zfmisc_1(B, A), k2_zfmisc_1(D, C))) & k1_card_1(k2_xboole_0(k2_zfmisc_1(A, B), k2_zfmisc_1(C, D)))=k1_card_1(k2_xboole_0(k2_zfmisc_1(B, A), k2_zfmisc_1(D, C)))) ) ) ) ) ).
fof(t17_card_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ~ (A=B)  => k1_card_2(k1_card_1(C), k1_card_1(D))=k1_card_1(k2_xboole_0(k2_zfmisc_1(C, k1_tarski(A)), k2_zfmisc_1(D, k1_tarski(B))))) ) ) ) ) ).
fof(t18_card_2, axiom,  (! [A] :  (v1_card_1(A) => k1_card_2(A, k5_numbers)=A) ) ).
fof(t19_card_2, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) =>  (! [C] :  (v1_card_1(C) => k1_card_2(k1_card_2(A, B), C)=k1_card_2(A, k1_card_2(B, C))) ) ) ) ) ) ).
fof(t20_card_2, axiom,  (! [A] :  (v1_card_1(A) => k2_card_2(A, k5_numbers)=k5_numbers) ) ).
fof(t21_card_2, axiom,  (! [A] :  (v1_card_1(A) => k2_card_2(A, 1)=A) ) ).
fof(t22_card_2, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) =>  (! [C] :  (v1_card_1(C) => k2_card_2(k2_card_2(A, B), C)=k2_card_2(A, k2_card_2(B, C))) ) ) ) ) ) ).
fof(t23_card_2, axiom,  (! [A] :  (v1_card_1(A) => k2_card_2(2, A)=k1_card_2(A, A)) ) ).
fof(t24_card_2, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) =>  (! [C] :  (v1_card_1(C) => k2_card_2(A, k1_card_2(B, C))=k1_card_2(k2_card_2(A, B), k2_card_2(A, C))) ) ) ) ) ) ).
fof(t25_card_2, axiom,  (! [A] :  (v1_card_1(A) => k3_card_2(A, k5_numbers)=1) ) ).
fof(t26_card_2, axiom,  (! [A] :  (v1_card_1(A) =>  ( ~ (A=k5_numbers)  => k3_card_2(k5_numbers, A)=k5_numbers) ) ) ).
fof(t27_card_2, axiom,  (! [A] :  (v1_card_1(A) =>  (k3_card_2(A, 1)=A & k3_card_2(1, A)=1) ) ) ).
fof(t28_card_2, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) =>  (! [C] :  (v1_card_1(C) => k3_card_2(A, k1_card_2(B, C))=k2_card_2(k3_card_2(A, B), k3_card_2(A, C))) ) ) ) ) ) ).
fof(t29_card_2, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) =>  (! [C] :  (v1_card_1(C) => k3_card_2(k2_card_2(A, B), C)=k2_card_2(k3_card_2(A, C), k3_card_2(B, C))) ) ) ) ) ) ).
fof(t30_card_2, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) =>  (! [C] :  (v1_card_1(C) => k3_card_2(A, k2_card_2(B, C))=k3_card_2(k3_card_2(A, B), C)) ) ) ) ) ) ).
fof(t31_card_2, axiom,  (! [A] : k3_card_2(2, k1_card_1(A))=k1_card_1(k1_zfmisc_1(A))) ).
fof(t32_card_2, axiom,  (! [A] :  (v1_card_1(A) => k3_card_2(A, 2)=k2_card_2(A, A)) ) ).
fof(t33_card_2, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) => k3_card_2(k1_card_2(A, B), 2)=k1_card_2(k1_card_2(k2_card_2(A, A), k2_card_2(k2_card_2(2, A), B)), k2_card_2(B, B))) ) ) ) ).
fof(t34_card_2, axiom,  (! [A] :  (! [B] : r1_ordinal1(k1_card_1(k2_xboole_0(A, B)), k1_card_2(k1_card_1(A), k1_card_1(B)))) ) ).
fof(t35_card_2, axiom,  (! [A] :  (! [B] :  (r1_xboole_0(A, B) => k1_card_1(k2_xboole_0(A, B))=k1_card_2(k1_card_1(A), k1_card_1(B))) ) ) ).
fof(t36_card_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k2_xcmplx_0(B, A)=k8_ordinal3(B, A)) ) ) ) ).
fof(t37_card_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k3_xcmplx_0(B, A)=k9_ordinal3(B, A)) ) ) ) ).
fof(t38_card_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k4_card_1(k2_xcmplx_0(B, A))=k1_card_2(k4_card_1(B), k4_card_1(A))) ) ) ) ).
fof(t39_card_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k4_card_1(k3_xcmplx_0(B, A))=k2_card_2(k4_card_1(B), k4_card_1(A))) ) ) ) ).
fof(t40_card_2, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (v1_finset_1(B) =>  (r1_xboole_0(A, B) => k4_card_1(k2_xboole_0(A, B))=k2_xcmplx_0(k4_card_1(A), k4_card_1(B))) ) ) ) ) ).
fof(t41_card_2, axiom,  (! [A] :  (! [B] :  (v1_finset_1(B) =>  ( ~ (r2_hidden(A, B))  => k4_card_1(k2_xboole_0(B, k1_tarski(A)))=k2_xcmplx_0(k4_card_1(B), 1)) ) ) ) ).
fof(t42_card_2, axiom,  (! [A] :  (k1_card_1(A)=1 <=>  (? [B] : A=k1_tarski(B)) ) ) ).
fof(t43_card_2, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (v1_finset_1(B) => r1_xxreal_0(k4_card_1(k2_xboole_0(A, B)), k2_xcmplx_0(k4_card_1(A), k4_card_1(B)))) ) ) ) ).
fof(t44_card_2, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (v1_finset_1(B) =>  (r1_tarski(B, A) => k4_card_1(k6_subset_1(A, B))=k6_xcmplx_0(k4_card_1(A), k4_card_1(B))) ) ) ) ) ).
fof(t45_card_2, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (v1_finset_1(B) => k4_card_1(k2_xboole_0(A, B))=k6_xcmplx_0(k2_xcmplx_0(k4_card_1(A), k4_card_1(B)), k4_card_1(k3_xboole_0(A, B)))) ) ) ) ).
fof(t46_card_2, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (v1_finset_1(B) => k4_card_1(k2_zfmisc_1(A, B))=k3_xcmplx_0(k4_card_1(A), k4_card_1(B))) ) ) ) ).
fof(t47_card_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(A)) )  => r1_xxreal_0(k4_card_1(k10_xtuple_0(A)), k4_card_1(k9_xtuple_0(A)))) ) ).
fof(t48_card_2, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (v1_finset_1(B) =>  (r2_xboole_0(A, B) =>  ( ~ (r1_xxreal_0(k4_card_1(B), k4_card_1(A)))  & r2_tarski(k4_card_1(A), k5_card_1(k4_card_1(B)))) ) ) ) ) ) ).
fof(t49_card_2, axiom,  (! [A] :  (! [B] :  (v1_finset_1(B) =>  ( ( ~ (r1_ordinal1(k1_card_1(A), k1_card_1(B)))  &  ~ (r2_tarski(k1_card_1(A), k1_card_1(B))) )  | v1_finset_1(A)) ) ) ) ).
fof(t50_card_2, axiom,  (! [A] :  (! [B] : r1_xxreal_0(k4_card_1(k2_tarski(A, B)), 2)) ) ).
fof(t51_card_2, axiom,  (! [A] :  (! [B] :  (! [C] : r1_xxreal_0(k4_card_1(k1_enumset1(A, B, C)), 3)) ) ) ).
fof(t52_card_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : r1_xxreal_0(k4_card_1(k2_enumset1(A, B, C, D)), 4)) ) ) ) ).
fof(t53_card_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : r1_xxreal_0(k4_card_1(k3_enumset1(A, B, C, D, E)), 5)) ) ) ) ) ).
fof(t54_card_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] : r1_xxreal_0(k4_card_1(k4_enumset1(A, B, C, D, E, F)), 6)) ) ) ) ) ) ).
fof(t55_card_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] : r1_xxreal_0(k4_card_1(k5_enumset1(A, B, C, D, E, F, G)), 7)) ) ) ) ) ) ) ).
fof(t56_card_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] : r1_xxreal_0(k4_card_1(k6_enumset1(A, B, C, D, E, F, G, H)), 8)) ) ) ) ) ) ) ) ).
fof(t57_card_2, axiom,  (! [A] :  (! [B] :  ( ~ (A=B)  => k4_card_1(k2_tarski(A, B))=2) ) ) ).
fof(t58_card_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (A=B)  &  ( ~ (A=C)  &  ( ~ (B=C)  &  ~ (k4_card_1(k1_enumset1(A, B, C))=3) ) ) ) ) ) ) ) ).
fof(t59_card_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ~ ( ( ~ (A=B)  &  ( ~ (A=C)  &  ( ~ (A=D)  &  ( ~ (B=C)  &  ( ~ (B=D)  &  ( ~ (C=D)  &  ~ (k4_card_1(k2_enumset1(A, B, C, D))=4) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_card_2, axiom,  (! [A] :  ~ ( (k1_card_1(A)=2 &  (! [B] :  (! [C] :  ~ ( ( ~ (B=C)  & A=k2_tarski(B, C)) ) ) ) ) ) ) ).
fof(t61_card_2, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => r1_ordinal1(k1_card_1(k10_xtuple_0(A)), k1_card_1(k9_xtuple_0(A)))) ) ).
fof(t62_card_2, axiom,  (! [A] :  ( (v1_finset_1(A) &  (! [B] :  (! [C] :  ~ ( (r2_tarski(B, A) &  (r2_tarski(C, A) &  ( ~ (r1_tarski(B, C))  &  ~ (r1_tarski(C, B)) ) ) ) ) ) ) )  =>  (A=k1_xboole_0 | r2_tarski(k3_tarski(A), A)) ) ) ).
fof(t63_card_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (r3_zfmisc_1(A, B, C, D, E) => k4_card_1(k3_enumset1(A, B, C, D, E))=5) ) ) ) ) ) ).
fof(t64_card_2, axiom,  (! [A] :  (! [B] :  ( (k1_card_1(A)=k5_numbers & k1_card_1(B)=k5_numbers)  => A=B) ) ) ).
fof(t65_card_2, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) => k6_card_3(k7_funcop_1(A, B))=k2_card_2(A, B)) ) ) ) ).
fof(t66_card_2, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) => k7_card_3(k7_funcop_1(B, A))=k3_card_2(A, B)) ) ) ) ).
fof(t67_card_2, axiom,  (! [A] :  (v7_ordinal1(A) => v1_finset_1(k4_classes1(A))) ) ).
fof(t68_card_2, axiom,  (! [A] :  (v1_card_1(A) =>  (r2_tarski(k5_numbers, A) <=> r1_ordinal1(1, A)) ) ) ).
fof(t69_card_2, axiom,  (! [A] :  (v1_card_1(A) =>  (r2_tarski(1, A) <=> r1_ordinal1(2, A)) ) ) ).
fof(t70_card_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v4_ordinal1(A) <=>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(B, A) => r2_tarski(k10_ordinal2(B, C), A)) ) ) ) ) ) ) ) ).
fof(t71_card_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (k10_ordinal2(A, k1_ordinal1(B))=k10_ordinal2(k1_ordinal1(A), B) & k10_ordinal2(A, k2_xcmplx_0(B, 1))=k10_ordinal2(k1_ordinal1(A), B)) ) ) ) ) ).
fof(t72_card_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (? [B] :  (v7_ordinal1(B) & k11_ordinal2(A, k1_ordinal1(1))=k10_ordinal2(A, B)) ) ) ) ).
fof(t73_card_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v4_ordinal1(A) => k11_ordinal2(A, k1_ordinal1(1))=A) ) ) ).
fof(t74_card_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (r1_ordinal1(k4_ordinal1, A) => k10_ordinal2(1, A)=A) ) ) ).
fof(t75_card_2, axiom,  (! [A] :  (v1_card_1(A) =>  ( ~ (v1_finset_1(A))  => k1_card_2(A, A)=A) ) ) ).
fof(t76_card_2, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) =>  ~ ( ( ~ (v1_finset_1(A))  &  ( (r1_ordinal1(B, A) | r2_tarski(B, A))  &  ~ ( (k1_card_2(A, B)=A & k1_card_2(B, A)=A) ) ) ) ) ) ) ) ) ).
fof(t77_card_2, axiom,  (! [A] :  (! [B] :  ~ ( ( ~ (v1_finset_1(A))  &  ( (r2_wellord2(A, B) | r2_wellord2(B, A))  &  ~ ( (r2_wellord2(k2_xboole_0(A, B), A) & k1_card_1(k2_xboole_0(A, B))=k1_card_1(A)) ) ) ) ) ) ) ).
fof(t78_card_2, axiom,  (! [A] :  (! [B] :  (v1_finset_1(B) =>  (v1_finset_1(A) |  (r2_wellord2(k2_xboole_0(A, B), A) & k1_card_1(k2_xboole_0(A, B))=k1_card_1(A)) ) ) ) ) ).
fof(t79_card_2, axiom,  (! [A] :  (! [B] :  ~ ( ( ~ (v1_finset_1(A))  &  ( (r2_tarski(k1_card_1(B), k1_card_1(A)) | r1_ordinal1(k1_card_1(B), k1_card_1(A)))  &  ~ ( (r2_wellord2(k2_xboole_0(A, B), A) & k1_card_1(k2_xboole_0(A, B))=k1_card_1(A)) ) ) ) ) ) ) ).
fof(t80_card_2, axiom,  (! [A] :  ( (v1_finset_1(A) & v1_card_1(A))  =>  (! [B] :  ( (v1_finset_1(B) & v1_card_1(B))  => v1_finset_1(k1_card_2(A, B))) ) ) ) ).
fof(t81_card_2, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) =>  ( ~ (v1_finset_1(A))  =>  ( ~ (v1_finset_1(k1_card_2(A, B)))  &  ~ (v1_finset_1(k1_card_2(B, A))) ) ) ) ) ) ) ).
fof(t82_card_2, axiom,  (! [A] :  ( (v1_finset_1(A) & v1_card_1(A))  =>  (! [B] :  ( (v1_finset_1(B) & v1_card_1(B))  => v1_finset_1(k2_card_2(A, B))) ) ) ) ).
fof(t83_card_2, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) =>  (! [C] :  (v1_card_1(C) =>  (! [D] :  (v1_card_1(D) =>  ( ~ ( ( ~ ( (r2_tarski(A, B) & r2_tarski(C, D)) )  &  ( ~ ( (r1_ordinal1(A, B) & r2_tarski(C, D)) )  &  ( ~ ( (r2_tarski(A, B) & r1_ordinal1(C, D)) )  &  ~ ( (r1_ordinal1(A, B) & r1_ordinal1(C, D)) ) ) ) ) )  =>  (r1_ordinal1(k1_card_2(A, C), k1_card_2(B, D)) & r1_ordinal1(k1_card_2(C, A), k1_card_2(B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t84_card_2, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) =>  (! [C] :  (v1_card_1(C) =>  ( (r2_tarski(B, C) | r1_ordinal1(B, C))  =>  (r1_ordinal1(k1_card_2(A, B), k1_card_2(A, C)) &  (r1_ordinal1(k1_card_2(A, B), k1_card_2(C, A)) &  (r1_ordinal1(k1_card_2(B, A), k1_card_2(A, C)) & r1_ordinal1(k1_card_2(B, A), k1_card_2(C, A))) ) ) ) ) ) ) ) ) ) ).
fof(t85_card_2, axiom,  (! [A] :  (! [B] :  ( (v4_card_3(A) & v4_card_3(B))  => v4_card_3(k2_xboole_0(A, B))) ) ) ).
fof(t86_card_2, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r1_ordinal1(k1_card_1(k9_xtuple_0(C)), A) &  (! [D] :  (r2_hidden(D, k9_xtuple_0(C)) => r1_ordinal1(k1_card_1(k1_funct_1(C, D)), B)) ) )  => r1_ordinal1(k1_card_1(k3_card_3(C)), k2_card_2(A, B))) ) ) ) ) ) ) ).
fof(t87_card_2, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) =>  (! [C] :  ( (r1_ordinal1(k1_card_1(C), A) &  (! [D] :  (r2_tarski(D, C) => r1_ordinal1(k1_card_1(D), B)) ) )  => r1_ordinal1(k1_card_1(k3_tarski(C)), k2_card_2(A, B))) ) ) ) ) ) ).
fof(t88_card_2, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  ( (v1_finset_1(k9_xtuple_0(A)) &  (! [B] :  (r2_hidden(B, k9_xtuple_0(A)) => v1_finset_1(k1_funct_1(A, B))) ) )  => v1_finset_1(k3_card_3(A))) ) ) ).
fof(t89_card_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_ordinal1(k2_card_2(k4_ordinal1, k4_card_1(A)), k4_ordinal1) & r1_ordinal1(k2_card_2(k4_card_1(A), k4_ordinal1), k4_ordinal1)) ) ) ).
fof(t90_card_2, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) =>  (! [C] :  (v1_card_1(C) =>  (! [D] :  (v1_card_1(D) =>  ( ~ ( ( ~ ( (r2_tarski(A, B) & r2_tarski(C, D)) )  &  ( ~ ( (r1_ordinal1(A, B) & r2_tarski(C, D)) )  &  ( ~ ( (r2_tarski(A, B) & r1_ordinal1(C, D)) )  &  ~ ( (r1_ordinal1(A, B) & r1_ordinal1(C, D)) ) ) ) ) )  =>  (r1_ordinal1(k2_card_2(A, C), k2_card_2(B, D)) & r1_ordinal1(k2_card_2(C, A), k2_card_2(B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t91_card_2, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) =>  (! [C] :  (v1_card_1(C) =>  ( (r2_tarski(B, C) | r1_ordinal1(B, C))  =>  (r1_ordinal1(k2_card_2(A, B), k2_card_2(A, C)) &  (r1_ordinal1(k2_card_2(A, B), k2_card_2(C, A)) &  (r1_ordinal1(k2_card_2(B, A), k2_card_2(A, C)) & r1_ordinal1(k2_card_2(B, A), k2_card_2(C, A))) ) ) ) ) ) ) ) ) ) ).
fof(t92_card_2, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) =>  (! [C] :  (v1_card_1(C) =>  (! [D] :  (v1_card_1(D) =>  ~ ( ( ~ ( ( ~ ( (r2_tarski(A, B) & r2_tarski(C, D)) )  &  ( ~ ( (r1_ordinal1(A, B) & r2_tarski(C, D)) )  &  ( ~ ( (r2_tarski(A, B) & r1_ordinal1(C, D)) )  &  ~ ( (r1_ordinal1(A, B) & r1_ordinal1(C, D)) ) ) ) ) )  &  ( ~ (A=k5_numbers)  &  ~ (r1_ordinal1(k3_card_2(A, C), k3_card_2(B, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t93_card_2, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) =>  (! [C] :  (v1_card_1(C) =>  ~ ( ( (r2_tarski(B, C) | r1_ordinal1(B, C))  &  ( ~ (A=k5_numbers)  &  ~ ( (r1_ordinal1(k3_card_2(A, B), k3_card_2(A, C)) & r1_ordinal1(k3_card_2(B, A), k3_card_2(C, A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t94_card_2, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) =>  (r1_ordinal1(A, k1_card_2(A, B)) & r1_ordinal1(B, k1_card_2(A, B))) ) ) ) ) ).
fof(t95_card_2, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) =>  ( ~ (B=k5_numbers)  =>  (r1_ordinal1(A, k2_card_2(A, B)) & r1_ordinal1(A, k2_card_2(B, A))) ) ) ) ) ) ).
fof(t96_card_2, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) =>  (! [C] :  (v1_card_1(C) =>  (! [D] :  (v1_card_1(D) =>  ( (r2_tarski(A, B) & r2_tarski(C, D))  =>  (r2_tarski(k1_card_2(A, C), k1_card_2(B, D)) & r2_tarski(k1_card_2(C, A), k1_card_2(B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t97_card_2, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) =>  (! [C] :  (v1_card_1(C) =>  (r2_tarski(k1_card_2(A, B), k1_card_2(A, C)) => r2_tarski(B, C)) ) ) ) ) ) ) ).
fof(t98_card_2, axiom,  (! [A] :  (! [B] :  ( (k1_card_2(k1_card_1(A), k1_card_1(B))=k1_card_1(A) & r2_tarski(k1_card_1(B), k1_card_1(A)))  => k1_card_1(k6_subset_1(A, B))=k1_card_1(A)) ) ) ).
fof(t99_card_2, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) =>  (! [C] :  (v1_card_1(C) =>  (r2_tarski(k2_card_2(A, B), k2_card_2(A, C)) => r2_tarski(B, C)) ) ) ) ) ) ) ).
fof(t100_card_2, axiom,  (! [A] :  (! [B] :  ( (v4_card_3(A) & v4_card_3(B))  => v4_card_3(k5_xboole_0(A, B))) ) ) ).
fof(t101_card_2, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  ~ ( ( ~ (v1_finset_1(k9_xtuple_0(A)))  &  (v1_finset_1(k10_xtuple_0(A)) &  (! [B] :  ~ ( (r2_hidden(B, k10_xtuple_0(A)) &  ~ (v1_finset_1(k8_relat_1(A, k1_tarski(B)))) ) ) ) ) ) ) ) ) ).
fof(t102_card_2, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (v1_finset_1(B) =>  ( (r1_tarski(A, B) & k4_card_1(A)=k4_card_1(B))  => A=B) ) ) ) ) ).
fof(s1_card_2, axiom,  ( ( ~ (f1_s1_card_2=k1_xboole_0)  &  ( (! [A] :  (! [B] :  ( (p1_s1_card_2(A, B) & p1_s1_card_2(B, A))  => A=B) ) )  &  (! [A] :  (! [B] :  (! [C] :  ( (p1_s1_card_2(A, B) & p1_s1_card_2(B, C))  => p1_s1_card_2(A, C)) ) ) ) ) )  =>  (? [A] :  (r2_hidden(A, f1_s1_card_2) &  (! [B] :  ~ ( (r2_hidden(B, f1_s1_card_2) &  ( ~ (B=A)  & p1_s1_card_2(B, A)) ) ) ) ) ) ) ).
fof(s2_card_2, axiom,  ( ( ~ (f1_s2_card_2=k1_xboole_0)  &  ( (! [A] :  (! [B] :  (p1_s2_card_2(A, B) | p1_s2_card_2(B, A)) ) )  &  (! [A] :  (! [B] :  (! [C] :  ( (p1_s2_card_2(A, B) & p1_s2_card_2(B, C))  => p1_s2_card_2(A, C)) ) ) ) ) )  =>  (? [A] :  (r2_hidden(A, f1_s2_card_2) &  (! [B] :  (r2_hidden(B, f1_s2_card_2) => p1_s2_card_2(A, B)) ) ) ) ) ).
fof(s3_card_2, axiom,  ( ( ~ (f1_s3_card_2=k1_xboole_0)  &  ( (! [A] :  (! [B] :  ( (p1_s3_card_2(A, B) & p1_s3_card_2(B, A))  => A=B) ) )  &  (! [A] :  (! [B] :  (! [C] :  ( (p1_s3_card_2(A, B) & p1_s3_card_2(B, C))  => p1_s3_card_2(A, C)) ) ) ) ) )  =>  (? [A] :  (r2_tarski(A, f1_s3_card_2) &  (! [B] :  ~ ( (r2_tarski(B, f1_s3_card_2) &  ( ~ (B=A)  & p1_s3_card_2(B, A)) ) ) ) ) ) ) ).
fof(dt_k1_card_2, axiom,  (! [A, B] :  ( (v1_card_1(A) & v1_card_1(B))  => v1_card_1(k1_card_2(A, B))) ) ).
fof(commutativity_k1_card_2, axiom,  (! [A, B] :  ( (v1_card_1(A) & v1_card_1(B))  => k1_card_2(A, B)=k1_card_2(B, A)) ) ).
fof(dt_k2_card_2, axiom,  (! [A, B] :  ( (v1_card_1(A) & v1_card_1(B))  => v1_card_1(k2_card_2(A, B))) ) ).
fof(commutativity_k2_card_2, axiom,  (! [A, B] :  ( (v1_card_1(A) & v1_card_1(B))  => k2_card_2(A, B)=k2_card_2(B, A)) ) ).
fof(dt_k3_card_2, axiom,  (! [A, B] :  ( (v1_card_1(A) & v1_card_1(B))  => v1_card_1(k3_card_2(A, B))) ) ).
fof(dt_f1_s1_card_2, axiom, v1_finset_1(f1_s1_card_2)).
fof(dt_f1_s2_card_2, axiom, v1_finset_1(f1_s2_card_2)).
fof(dt_f1_s3_card_2, axiom, v1_finset_1(f1_s3_card_2)).
fof(cc1_card_3, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_card_3(A)) ) ) ) ).
fof(rc1_card_3, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v1_card_3(A)) ) ) ).
fof(fc1_card_3, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_card_3(A)) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v1_card_3(k5_relat_1(A, B))) ) ) ).
fof(fc2_card_3, axiom,  (! [A, B] :  (v1_card_1(B) => v1_card_3(k2_funcop_1(A, B))) ) ).
fof(fc3_card_3, axiom,  (! [A, B] :  (v1_card_1(B) => v1_card_3(k17_funcop_1(A, B))) ) ).
fof(fc4_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v4_funct_1(k4_card_3(A))) ) ).
fof(cc2_card_3, axiom,  (! [A, B] :  (v1_setfam_1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( (v1_funct_1(C) & v1_funct_2(C, A, B))  =>  (v2_relat_1(C) &  (v1_funct_1(C) & v1_funct_2(C, A, B)) ) ) ) ) ) ) ).
fof(fc5_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) )  =>  ~ (v1_xboole_0(k4_card_3(A))) ) ) ).
fof(fc6_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  ( ~ (v1_xboole_0(k8_card_3(A)))  & v4_funct_1(k8_card_3(A))) ) ) ).
fof(rc2_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (? [B] :  (m1_subset_1(B, k8_card_3(A)) &  (v1_xboole_0(B) &  (v1_relat_1(B) & v1_funct_1(B)) ) ) ) ) ) ).
fof(rc3_card_3, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v4_funct_1(A) & v2_card_3(A)) ) ) ).
fof(fc7_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v2_card_3(k1_tarski(A))) ) ).
fof(fc8_card_3, axiom,  (! [A] :  (v1_xboole_0(A) => v1_xboole_0(k9_card_3(A))) ) ).
fof(fc9_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v3_card_3(k4_card_3(A))) ) ).
fof(cc3_card_3, axiom,  (! [A] :  (v3_card_3(A) =>  (v4_funct_1(A) & v2_card_3(A)) ) ) ).
fof(rc4_card_3, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v3_card_3(A)) ) ).
fof(cc4_card_3, axiom,  (! [A] :  (v5_card_3(A) =>  ( ~ (v1_finset_1(A))  & v4_card_3(A)) ) ) ).
fof(cc5_card_3, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v4_card_3(A))  => v5_card_3(A)) ) ).
fof(cc6_card_3, axiom,  (! [A] :  (v1_finset_1(A) => v4_card_3(A)) ) ).
fof(fc10_card_3, axiom, v5_card_3(k4_ordinal1)).
fof(rc5_card_3, axiom,  (? [A] : v5_card_3(A)) ).
fof(cc7_card_3, axiom,  (! [A] :  (v4_card_3(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_card_3(B)) ) ) ) ).
fof(cc8_card_3, axiom,  (! [A] :  (v2_card_3(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v2_card_3(B)) ) ) ) ).
fof(fc11_card_3, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k12_card_3(A, B)) &  (v4_relat_1(k12_card_3(A, B), k4_card_3(A)) & v1_funct_1(k12_card_3(A, B))) ) ) ) ).
fof(fc12_card_3, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k12_card_3(A, B)) &  (v1_funct_1(k12_card_3(A, B)) & v1_partfun1(k12_card_3(A, B), k4_card_3(A))) ) ) ) ).
fof(cc9_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k4_card_3(A)) => v5_funct_1(B, A)) ) ) ) ).
fof(cc10_card_3, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) & v1_funct_1(B)) ) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(B)) => v4_relat_1(C, A)) ) ) ) ).
fof(cc11_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (m1_subset_1(B, k8_card_3(A)) => v5_funct_1(B, A)) ) ) ) ).
fof(cc12_card_3, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) & v1_funct_1(B)) )  =>  (! [C] :  (m1_subset_1(C, k8_card_3(B)) => v4_relat_1(C, A)) ) ) ) ).
fof(cc13_card_3, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(B)) => v1_partfun1(C, A)) ) ) ) ).
fof(fc13_card_3, axiom,  (! [A, B] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_finset_1(k2_funcop_1(A, B))) ) ) ).
fof(rc6_card_3, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v1_finset_1(A)) ) ) ) ).
fof(fc14_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  ~ (v1_finset_1(A)) )  =>  ~ (v1_finset_1(k1_relat_1(A))) ) ) ).
fof(fc15_card_3, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  (v1_relat_1(k1_wellord2(A)) &  ~ (v1_finset_1(k1_wellord2(A))) ) ) ) ).
fof(cc14_card_3, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(B)) => v1_partfun1(C, A)) ) ) ) ).
fof(cc15_card_3, axiom,  (! [A] :  ( ~ (v4_card_3(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(d1_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_card_3(A) <=>  (! [B] :  (r2_hidden(B, k9_xtuple_0(A)) => v1_card_1(k1_funct_1(A, B))) ) ) ) ) ).
fof(d2_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_card_3(B)) )  =>  (B=k1_card_3(A) <=>  (k9_xtuple_0(B)=k9_xtuple_0(A) &  (! [C] :  (r2_hidden(C, k9_xtuple_0(A)) => k1_funct_1(B, C)=k1_card_1(k1_funct_1(A, C))) ) ) ) ) ) ) ) ).
fof(d3_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (B=k2_card_3(A) <=>  (k9_xtuple_0(B)=k9_xtuple_0(A) &  (! [C] :  (r2_hidden(C, k9_xtuple_0(A)) => k1_funct_1(B, C)=k2_zfmisc_1(k1_funct_1(A, C), k1_tarski(C))) ) ) ) ) ) ) ) ).
fof(d4_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => k3_card_3(A)=k3_tarski(k10_xtuple_0(A))) ) ).
fof(d5_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (B=k4_card_3(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  (? [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  &  (C=D &  (k9_xtuple_0(D)=k9_xtuple_0(A) &  (! [E] :  (r2_hidden(E, k9_xtuple_0(A)) => r2_tarski(k1_funct_1(D, E), k1_funct_1(A, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_card_3(A)) )  => k1_card_3(A)=A) ) ).
fof(t2_card_3, axiom,  (! [A] :  (! [B] : k1_card_3(k7_funcop_1(A, B))=k7_funcop_1(A, k1_card_1(B))) ) ).
fof(t3_card_3, axiom, k2_card_3(k1_xboole_0)=k1_xboole_0).
fof(t4_card_3, axiom,  (! [A] :  (! [B] : k2_card_3(k17_funcop_1(A, B))=k17_funcop_1(A, k2_zfmisc_1(B, k1_tarski(A)))) ) ).
fof(t5_card_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r2_hidden(A, k9_xtuple_0(C)) & r2_hidden(B, k9_xtuple_0(C)))  =>  (A=B | r1_xboole_0(k1_funct_1(k2_card_3(C), A), k1_funct_1(k2_card_3(C), B))) ) ) ) ) ) ).
fof(t6_card_3, axiom,  (! [A] :  (! [B] : r1_tarski(k3_card_3(k7_funcop_1(A, B)), B)) ) ).
fof(t7_card_3, axiom,  (! [A] :  (! [B] :  ( ~ (A=k1_xboole_0)  => k3_card_3(k7_funcop_1(A, B))=B) ) ) ).
fof(t8_card_3, axiom,  (! [A] :  (! [B] : k3_card_3(k17_funcop_1(A, B))=B) ) ).
fof(t9_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_tarski(B, k4_card_3(A)) <=>  (k9_xtuple_0(B)=k9_xtuple_0(A) &  (! [C] :  (r2_hidden(C, k9_xtuple_0(A)) => r2_tarski(k1_funct_1(B, C), k1_funct_1(A, C))) ) ) ) ) ) ) ) ).
fof(t10_card_3, axiom, k4_card_3(k1_xboole_0)=k1_tarski(k1_xboole_0)).
fof(t11_card_3, axiom,  (! [A] :  (! [B] : k1_funct_2(A, B)=k4_card_3(k7_funcop_1(A, B))) ) ).
fof(d6_card_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (C=k5_card_3(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (? [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  &  (r2_tarski(E, B) & D=k1_funct_1(E, A)) ) ) ) ) ) ) ) ) ).
fof(t12_card_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_hidden(A, k9_xtuple_0(B)) =>  (k4_card_3(B)=k1_xboole_0 | k5_card_3(A, k4_card_3(B))=k1_funct_1(B, A)) ) ) ) ) ).
fof(t13_card_3, axiom,  (! [A] : k5_card_3(A, k1_xboole_0)=k1_xboole_0) ).
fof(t14_card_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => k5_card_3(A, k1_tarski(B))=k1_tarski(k1_funct_1(B, A))) ) ) ).
fof(t15_card_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => k5_card_3(A, k2_tarski(B, C))=k2_tarski(k1_funct_1(B, A), k1_funct_1(C, A))) ) ) ) ) ).
fof(t16_card_3, axiom,  (! [A] :  (! [B] :  (! [C] : k5_card_3(A, k2_xboole_0(B, C))=k2_xboole_0(k5_card_3(A, B), k5_card_3(A, C))) ) ) ).
fof(t17_card_3, axiom,  (! [A] :  (! [B] :  (! [C] : r1_tarski(k5_card_3(A, k3_xboole_0(B, C)), k3_xboole_0(k5_card_3(A, B), k5_card_3(A, C)))) ) ) ).
fof(t18_card_3, axiom,  (! [A] :  (! [B] :  (! [C] : r1_tarski(k6_subset_1(k5_card_3(A, B), k5_card_3(A, C)), k5_card_3(A, k6_subset_1(B, C)))) ) ) ).
fof(t19_card_3, axiom,  (! [A] :  (! [B] :  (! [C] : r1_tarski(k5_xboole_0(k5_card_3(A, B), k5_card_3(A, C)), k5_card_3(A, k5_xboole_0(B, C)))) ) ) ).
fof(t20_card_3, axiom,  (! [A] :  (! [B] : r1_ordinal1(k1_card_1(k5_card_3(A, B)), k1_card_1(B))) ) ).
fof(t21_card_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ~ ( (r2_hidden(A, k3_card_3(k2_card_3(B))) &  (! [C] :  (! [D] :  ~ (A=k4_tarski(C, D)) ) ) ) ) ) ) ) ).
fof(t22_card_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_hidden(A, k3_card_3(k2_card_3(B))) <=>  (r2_hidden(k2_xtuple_0(A), k9_xtuple_0(B)) &  (r2_hidden(k1_xtuple_0(A), k1_funct_1(B, k2_xtuple_0(A))) & A=k4_tarski(k1_xtuple_0(A), k2_xtuple_0(A))) ) ) ) ) ) ).
fof(t23_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_tarski(A, B) => r1_tarski(k2_card_3(A), k2_card_3(B))) ) ) ) ) ).
fof(t24_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_tarski(A, B) => r1_tarski(k3_card_3(A), k3_card_3(B))) ) ) ) ) ).
fof(t25_card_3, axiom,  (! [A] :  (! [B] : k3_card_3(k2_card_3(k7_funcop_1(B, A)))=k2_zfmisc_1(A, B)) ) ).
fof(t26_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (k4_card_3(A)=k1_xboole_0 <=> r2_tarski(k1_xboole_0, k10_xtuple_0(A))) ) ) ).
fof(t27_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (k9_xtuple_0(A)=k9_xtuple_0(B) &  (! [C] :  (r2_hidden(C, k9_xtuple_0(A)) => r1_tarski(k1_funct_1(A, C), k1_funct_1(B, C))) ) )  => r1_tarski(k4_card_3(A), k4_card_3(B))) ) ) ) ) ).
fof(t28_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_card_3(A)) )  =>  (! [B] :  (r2_hidden(B, k9_xtuple_0(A)) => k1_card_1(k1_funct_1(A, B))=k1_funct_1(A, B)) ) ) ) ).
fof(t29_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_card_3(A)) )  =>  (! [B] :  (r2_hidden(B, k9_xtuple_0(A)) => k1_card_1(k1_funct_1(k2_card_3(A), B))=k1_funct_1(A, B)) ) ) ) ).
fof(d7_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_card_3(A)) )  => k6_card_3(A)=k1_card_1(k3_card_3(k2_card_3(A)))) ) ).
fof(d8_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_card_3(A)) )  => k7_card_3(A)=k1_card_1(k4_card_3(A))) ) ).
fof(t30_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_card_3(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_card_3(B)) )  =>  ( (k9_xtuple_0(A)=k9_xtuple_0(B) &  (! [C] :  (r2_hidden(C, k9_xtuple_0(A)) => r1_tarski(k1_funct_1(A, C), k1_funct_1(B, C))) ) )  => r1_ordinal1(k6_card_3(A), k6_card_3(B))) ) ) ) ) ).
fof(t31_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_card_3(A)) )  =>  (r2_tarski(k1_xboole_0, k10_xtuple_0(A)) <=> k7_card_3(A)=k5_ordinal1) ) ) ).
fof(t32_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_card_3(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_card_3(B)) )  =>  ( (k9_xtuple_0(A)=k9_xtuple_0(B) &  (! [C] :  (r2_hidden(C, k9_xtuple_0(A)) => r1_tarski(k1_funct_1(A, C), k1_funct_1(B, C))) ) )  => r1_ordinal1(k7_card_3(A), k7_card_3(B))) ) ) ) ) ).
fof(t33_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_card_3(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_card_3(B)) )  =>  (r1_tarski(A, B) => r1_ordinal1(k6_card_3(A), k6_card_3(B))) ) ) ) ) ).
fof(t34_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_card_3(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_card_3(B)) )  =>  (r1_tarski(A, B) =>  (r2_tarski(k5_ordinal1, k10_xtuple_0(B)) | r1_ordinal1(k7_card_3(A), k7_card_3(B))) ) ) ) ) ) ).
fof(t35_card_3, axiom,  (! [A] :  (v1_card_1(A) => k6_card_3(k7_funcop_1(k1_xboole_0, A))=k5_ordinal1) ) ).
fof(t36_card_3, axiom,  (! [A] :  (v1_card_1(A) => k7_card_3(k7_funcop_1(k1_xboole_0, A))=1) ) ).
fof(t37_card_3, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] : k6_card_3(k17_funcop_1(B, A))=A) ) ) ).
fof(t38_card_3, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] : k7_card_3(k17_funcop_1(B, A))=A) ) ) ).
fof(t39_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => r1_ordinal1(k1_card_1(k3_card_3(A)), k6_card_3(k1_card_3(A)))) ) ).
fof(t40_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_card_3(A)) )  => r1_ordinal1(k1_card_1(k3_card_3(A)), k6_card_3(A))) ) ).
fof(t41_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_card_3(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_card_3(B)) )  =>  ( (k9_xtuple_0(A)=k9_xtuple_0(B) &  (! [C] :  (r2_hidden(C, k9_xtuple_0(A)) => r2_tarski(k1_funct_1(A, C), k1_funct_1(B, C))) ) )  => r2_tarski(k6_card_3(A), k7_card_3(B))) ) ) ) ) ).
fof(t42_card_3, axiom,  (! [A] :  (v1_finset_1(A) => r2_tarski(k1_card_1(A), k1_card_1(k4_ordinal1))) ) ).
fof(t43_card_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(k1_card_1(A), k1_card_1(B)) => r2_tarski(A, B)) ) ) ) ) ).
fof(t44_card_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v1_card_1(B) =>  (r2_tarski(k1_card_1(A), B) => r2_tarski(A, B)) ) ) ) ) ).
fof(t45_card_3, axiom,  (! [A] :  ~ ( (v6_ordinal1(A) &  (! [B] :  ~ ( (r1_tarski(B, A) &  (k3_tarski(B)=k3_tarski(A) &  (! [C] :  ~ ( (r1_tarski(C, B) &  ( ~ (C=k1_xboole_0)  &  (! [D] :  ~ ( (r2_tarski(D, C) &  (! [E] :  (r2_tarski(E, C) => r1_tarski(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_card_3, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  ( ( (! [C] :  (r2_tarski(C, B) => r2_tarski(k1_card_1(C), A)) )  & v6_ordinal1(B))  => r1_ordinal1(k1_card_1(k3_tarski(B)), A)) ) ) ) ).
fof(t47_card_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ~ (A=B)  => k4_card_3(k6_funct_4(A, B, k1_tarski(C), k1_tarski(D)))=k1_tarski(k6_funct_4(A, B, C, D))) ) ) ) ) ).
fof(t48_card_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_hidden(A, k4_card_3(B)) =>  (v1_relat_1(A) & v1_funct_1(A)) ) ) ) ) ).
fof(d9_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (B=k8_card_3(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  (? [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  &  (C=D &  (r1_tarski(k9_xtuple_0(D), k9_xtuple_0(A)) &  (! [E] :  (r2_hidden(E, k9_xtuple_0(D)) => r2_tarski(k1_funct_1(D, E), k1_funct_1(A, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_tarski(B, k8_card_3(A)) =>  (r1_tarski(k9_xtuple_0(B), k9_xtuple_0(A)) &  (! [C] :  (r2_hidden(C, k9_xtuple_0(B)) => r2_tarski(k1_funct_1(B, C), k1_funct_1(A, C))) ) ) ) ) ) ) ) ).
fof(t50_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => r2_tarski(k1_xboole_0, k8_card_3(A))) ) ).
fof(t51_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => r1_tarski(k4_card_3(A), k8_card_3(A))) ) ).
fof(t52_card_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_hidden(A, k8_card_3(B)) =>  (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k9_xtuple_0(B), k3_tarski(k10_xtuple_0(B)))))) ) ) ) ) ).
fof(t53_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r2_tarski(B, k4_card_3(A)) & r2_tarski(C, k8_card_3(A)))  => r2_tarski(k1_funct_4(B, C), k4_card_3(A))) ) ) ) ) ) ) ).
fof(t54_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( ~ (k4_card_3(A)=k1_xboole_0)  =>  (r2_tarski(B, k8_card_3(A)) <=>  (? [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  &  (r2_tarski(C, k4_card_3(A)) & r1_tarski(B, C)) ) ) ) ) ) ) ) ) ).
fof(t55_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => r1_tarski(k8_card_3(A), k4_partfun1(k9_xtuple_0(A), k3_tarski(k10_xtuple_0(A))))) ) ).
fof(t56_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_tarski(A, B) => r1_tarski(k8_card_3(A), k8_card_3(B))) ) ) ) ) ).
fof(t57_card_3, axiom, k8_card_3(k1_xboole_0)=k1_tarski(k1_xboole_0)).
fof(t58_card_3, axiom,  (! [A] :  (! [B] : k4_partfun1(A, B)=k8_card_3(k7_funcop_1(A, B))) ) ).
fof(t60_card_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r2_hidden(A, k9_xtuple_0(C)) & r2_hidden(B, k1_funct_1(C, A)))  => r2_tarski(k17_funcop_1(A, B), k8_card_3(C))) ) ) ) ) ).
fof(t61_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (k8_card_3(A)=k1_tarski(k1_xboole_0) <=>  (! [B] :  (r2_hidden(B, k9_xtuple_0(A)) => k1_funct_1(A, B)=k1_xboole_0) ) ) ) ) ).
fof(t62_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (r1_tarski(B, k8_card_3(A)) &  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r1_partfun1(C, D)) ) ) ) ) )  => r2_tarski(k3_tarski(B), k8_card_3(A))) ) ) ) ).
fof(t63_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r1_partfun1(B, C) &  (r2_tarski(B, k8_card_3(A)) & r2_tarski(C, k8_card_3(A))) )  => r2_tarski(k2_xboole_0(B, C), k8_card_3(A))) ) ) ) ) ) ) ).
fof(t64_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (r1_tarski(C, B) & r2_tarski(B, k8_card_3(A)))  => r2_tarski(C, k8_card_3(A))) ) ) ) ) ) ).
fof(t65_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (r2_tarski(B, k8_card_3(A)) => r2_tarski(k5_relat_1(B, C), k8_card_3(A))) ) ) ) ) ) ).
fof(t66_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (r2_tarski(B, k8_card_3(A)) => r2_tarski(k5_relat_1(B, C), k8_card_3(k5_relat_1(A, C)))) ) ) ) ) ) ).
fof(t67_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ~ ( (r2_tarski(C, k8_card_3(k1_funct_4(A, B))) &  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  ~ ( (r2_tarski(D, k8_card_3(A)) &  (r2_tarski(E, k8_card_3(B)) & C=k1_funct_4(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (r1_xboole_0(k9_xtuple_0(B), k6_subset_1(k9_xtuple_0(C), k9_xtuple_0(D))) &  (r2_tarski(C, k8_card_3(A)) & r2_tarski(D, k8_card_3(B))) )  => r2_tarski(k1_funct_4(C, D), k8_card_3(k1_funct_4(A, B)))) ) ) ) ) ) ) ) ) ).
fof(t69_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (r1_xboole_0(k9_xtuple_0(C), k6_subset_1(k9_xtuple_0(B), k9_xtuple_0(D))) &  (r2_tarski(C, k8_card_3(A)) & r2_tarski(D, k8_card_3(B))) )  => r2_tarski(k1_funct_4(C, D), k8_card_3(k1_funct_4(A, B)))) ) ) ) ) ) ) ) ) ).
fof(t70_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r2_tarski(B, k8_card_3(A)) & r2_tarski(C, k8_card_3(A)))  => r2_tarski(k1_funct_4(B, C), k8_card_3(A))) ) ) ) ) ) ) ).
fof(t71_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (r2_tarski(B, k9_xtuple_0(A)) &  (r2_tarski(D, k1_funct_1(A, B)) &  (r2_tarski(C, k9_xtuple_0(A)) & r2_tarski(E, k1_funct_1(A, C))) ) )  => r2_tarski(k6_funct_4(B, C, D, E), k8_card_3(A))) ) ) ) ) ) ) ).
fof(d10_card_3, axiom,  (! [A] :  (v2_card_3(A) <=>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r2_tarski(B, A) & r2_tarski(C, A))  => k9_xtuple_0(B)=k9_xtuple_0(C)) ) ) ) ) ) ) ).
fof(t72_card_3, axiom,  (! [A] :  ( (v4_funct_1(A) & v2_card_3(A))  =>  (A=k1_tarski(k1_xboole_0) => k9_card_3(A)=k1_xboole_0) ) ) ).
fof(d12_card_3, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (B=k10_card_3(A) <=>  (k9_xtuple_0(B)=k9_card_3(A) &  (! [C] :  (r2_tarski(C, k9_xtuple_0(B)) => k1_funct_1(B, C)=k5_card_3(C, A)) ) ) ) ) ) ) ) ).
fof(d13_card_3, axiom,  (! [A] :  (v3_card_3(A) <=>  (? [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  & A=k4_card_3(B)) ) ) ) ).
fof(t77_card_3, axiom,  (! [A] :  ( (v4_funct_1(A) & v2_card_3(A))  => r1_tarski(A, k4_card_3(k10_card_3(A)))) ) ).
fof(t78_card_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v3_card_3(A))  => A=k4_card_3(k10_card_3(A))) ) ).
fof(t79_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (m1_subset_1(B, k4_card_3(A)) =>  (! [C] :  (m1_subset_1(C, k4_card_3(A)) =>  (! [D] : m1_subset_1(k1_funct_4(B, k5_relat_1(C, D)), k4_card_3(A))) ) ) ) ) ) ) ).
fof(t80_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k8_card_3(A)) =>  (? [C] :  (m1_subset_1(C, k4_card_3(A)) & r1_tarski(B, C)) ) ) ) ) ) ).
fof(t81_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (r2_tarski(B, k4_card_3(A)) => r2_tarski(k5_relat_1(B, C), k8_card_3(A))) ) ) ) ) ) ).
fof(t82_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k4_card_3(A)) =>  (! [C] :  (m1_subset_1(C, k4_card_3(A)) =>  (! [D] : k5_relat_1(k1_funct_4(C, k11_card_3(A, B, D)), D)=k11_card_3(A, B, D)) ) ) ) ) ) ) ).
fof(t83_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r2_tarski(B, k4_card_3(A)) => r2_tarski(k3_relat_1(C, B), k4_card_3(k3_relat_1(C, A)))) ) ) ) ) ) ) ).
fof(t84_card_3, axiom,  (! [A] :  (v1_finset_1(A) <=> r2_tarski(k1_card_1(A), k4_ordinal1)) ) ).
fof(t85_card_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  ( ~ (v1_finset_1(A))  <=> r1_ordinal1(k4_ordinal1, A)) ) ) ).
fof(t86_card_3, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) =>  (v1_finset_1(B) =>  (v1_finset_1(A) |  (r2_tarski(B, A) & r1_ordinal1(B, A)) ) ) ) ) ) ) ).
fof(t87_card_3, axiom,  (! [A] :  ( ~ ( ( ~ (v1_finset_1(A))  &  (! [B] :  ~ ( (r1_tarski(B, A) & k1_card_1(B)=k4_ordinal1) ) ) ) )  &  ~ ( ( (? [B] :  (r1_tarski(B, A) & k1_card_1(B)=k4_ordinal1) )  & v1_finset_1(A)) ) ) ) ).
fof(t88_card_3, axiom,  (! [A] :  (! [B] :  (k1_card_1(A)=k1_card_1(B) <=> k2_card_1(A)=k2_card_1(B)) ) ) ).
fof(t89_card_3, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) =>  (k2_card_1(B)=k2_card_1(A) => A=B) ) ) ) ) ).
fof(t90_card_3, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) =>  (r2_tarski(B, A) <=> r1_ordinal1(k2_card_1(B), A)) ) ) ) ) ).
fof(t91_card_3, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) =>  (r2_tarski(B, k2_card_1(A)) <=> r1_ordinal1(B, A)) ) ) ) ) ).
fof(t92_card_3, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) =>  (v1_finset_1(A) =>  ( ( ~ (r1_ordinal1(B, A))  &  ~ (r2_tarski(B, A)) )  | v1_finset_1(B)) ) ) ) ) ) ).
fof(d14_card_3, axiom,  (! [A] :  (v4_card_3(A) <=> r1_ordinal1(k1_card_1(A), k4_ordinal1)) ) ).
fof(d15_card_3, axiom,  (! [A] :  (v5_card_3(A) <=> k1_card_1(A)=k4_ordinal1) ) ).
fof(t93_card_3, axiom,  (! [A] :  (v4_card_3(A) <=>  (? [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  &  (k9_xtuple_0(B)=k4_ordinal1 & r1_tarski(A, k10_xtuple_0(B))) ) ) ) ) ).
fof(t94_card_3, axiom,  (! [A] :  (! [B] :  (v4_card_3(A) => v4_card_3(k3_xboole_0(A, B))) ) ) ).
fof(t95_card_3, axiom,  (! [A] :  (! [B] :  (v4_card_3(A) => v4_card_3(k6_subset_1(A, B))) ) ) ).
fof(t96_card_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_card_3(A))  =>  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  & k2_relset_1(A, B)=A) ) ) ) ).
fof(t97_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) & v1_funct_1(B)) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(A)) =>  (! [D] :  (m1_subset_1(D, k4_card_3(B)) => r2_tarski(k1_funct_4(C, D), k4_card_3(k1_funct_4(A, B)))) ) ) ) ) ) ) ) ).
fof(t98_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) & v1_funct_1(B)) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(k1_funct_4(A, B))) => r2_tarski(k11_card_3(k1_funct_4(A, B), C, k9_xtuple_0(B)), k4_card_3(B))) ) ) ) ) ) ).
fof(t99_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) & v1_funct_1(B)) )  =>  (r1_partfun1(A, B) =>  (! [C] :  (m1_subset_1(C, k4_card_3(k1_funct_4(A, B))) => r2_tarski(k11_card_3(k1_funct_4(A, B), C, k9_xtuple_0(A)), k4_card_3(A))) ) ) ) ) ) ) ).
fof(t100_card_3, axiom,  (! [A] :  ( (v4_funct_1(A) & v2_card_3(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_tarski(B, A) => k9_xtuple_0(B)=k9_xtuple_0(k10_card_3(A))) ) ) ) ) ).
fof(t101_card_3, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (r2_tarski(B, A) & r2_tarski(C, k9_xtuple_0(k10_card_3(A))))  => r2_tarski(k1_funct_1(B, C), k1_funct_1(k10_card_3(A), C))) ) ) ) ) ) ).
fof(t102_card_3, axiom,  (! [A] :  ( (v4_funct_1(A) & v2_card_3(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (r2_tarski(B, A) & r2_tarski(C, k9_xtuple_0(B)))  => r2_tarski(k1_funct_1(B, C), k1_funct_1(k10_card_3(A), C))) ) ) ) ) ) ).
fof(d16_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k12_card_3(A, B) <=>  (k9_xtuple_0(C)=k4_card_3(A) &  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r2_tarski(D, k9_xtuple_0(C)) => k1_funct_1(C, D)=k1_funct_1(D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t103_card_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) & v1_funct_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v5_funct_1(C, B)) ) )  => r2_tarski(C, k8_card_3(B))) ) ) ) ) ).
fof(t104_card_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) & v1_funct_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v5_funct_1(C, B)) ) )  =>  (? [D] :  (m1_subset_1(D, k4_card_3(B)) & r1_tarski(C, D)) ) ) ) ) ) ) ).
fof(t105_card_3, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  ( (r4_wellord1(A, B) & v1_finset_1(A))  => v1_finset_1(B)) ) ) ) ) ).
fof(t106_card_3, axiom, k10_card_3(k1_tarski(k1_xboole_0))=k1_xboole_0).
fof(t107_card_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v5_funct_1(C, B) & v1_partfun1(C, A)) ) ) )  => r2_tarski(C, k4_card_3(B))) ) ) ) ) ).
fof(d17_card_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v5_funct_1(C, B) & v1_partfun1(C, A)) ) ) )  => k13_card_3(A, B, C)=C) ) ) ) ) ).
fof(t108_card_3, axiom,  (! [A] :  ( (v4_funct_1(A) & v2_card_3(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_tarski(B, A) => k9_xtuple_0(B)=k9_card_3(A)) ) ) ) ) ).
fof(t109_card_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_funct_1(B))  =>  ( (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r2_tarski(C, B) => r2_hidden(A, k9_xtuple_0(C))) ) )  => r2_hidden(A, k9_card_3(B))) ) ) ) ).
fof(s1_card_3, axiom,  (? [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_card_3(A)) )  &  (k9_xtuple_0(A)=f1_s1_card_3 &  (! [B] :  (r2_tarski(B, f1_s1_card_3) => k1_funct_1(A, B)=f2_s1_card_3(B)) ) ) ) ) ).
fof(s2_card_3, axiom,  (? [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  &  (k9_xtuple_0(A)=f1_s2_card_3 &  (! [B] :  (r2_hidden(B, f1_s2_card_3) =>  (! [C] :  (r2_hidden(C, k1_funct_1(A, B)) <=>  (r2_hidden(C, f2_s2_card_3(B)) & p1_s2_card_3(B, C)) ) ) ) ) ) ) ) ).
fof(s3_card_3, axiom,  (? [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  &  (k9_xtuple_0(A)=f1_s3_card_3 &  (! [B] :  (r2_tarski(B, f1_s3_card_3) =>  (! [C] :  (r2_tarski(C, k1_funct_1(A, B)) <=>  (r2_tarski(C, f2_s3_card_3(B)) & p1_s3_card_3(B, C)) ) ) ) ) ) ) ) ).
fof(dt_f2_s1_card_3, axiom,  (! [A] : v1_card_1(f2_s1_card_3(A))) ).
fof(dt_k1_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k1_card_3(A)) &  (v1_funct_1(k1_card_3(A)) & v1_card_3(k1_card_3(A))) ) ) ) ).
fof(dt_k2_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k2_card_3(A)) & v1_funct_1(k2_card_3(A))) ) ) ).
fof(dt_k6_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_card_3(A)) )  => v1_card_1(k6_card_3(A))) ) ).
fof(dt_k7_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_card_3(A)) )  => v1_card_1(k7_card_3(A))) ) ).
fof(dt_k10_card_3, axiom,  (! [A] :  (v4_funct_1(A) =>  (v1_relat_1(k10_card_3(A)) & v1_funct_1(k10_card_3(A))) ) ) ).
fof(dt_k11_card_3, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) )  & m1_subset_1(B, k4_card_3(A)))  => m1_subset_1(k11_card_3(A, B, C), k8_card_3(A))) ) ).
fof(redefinition_k11_card_3, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) )  & m1_subset_1(B, k4_card_3(A)))  => k11_card_3(A, B, C)=k5_relat_1(B, C)) ) ).
fof(dt_k12_card_3, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k12_card_3(A, B)) & v1_funct_1(k12_card_3(A, B))) ) ) ).
fof(dt_k13_card_3, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v5_funct_1(C, B) & v1_partfun1(C, A)) ) ) ) )  => m1_subset_1(k13_card_3(A, B, C), k4_card_3(B))) ) ).
fof(t59_card_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  => k8_card_3(C)=k8_card_3(k2_partfun1(A, B, C, a_3_0_card_3(A, B, C)))) ) ) ) ) ) ).
fof(d11_card_3, axiom,  (! [A] :  (v4_funct_1(A) => k9_card_3(A)=k1_setfam_1(a_1_0_card_3(A))) ) ).
fof(t74_card_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_funct_1(A))  =>  (! [B] :  (r2_tarski(B, k9_xtuple_0(k10_card_3(A))) => k1_funct_1(k10_card_3(A), B)=a_2_0_card_3(A, B)) ) ) ) ).
fof(fraenkel_a_3_0_card_3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(D) &  (v1_funct_2(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C)))) ) ) )  =>  (r2_hidden(A, a_3_0_card_3(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, B) &  (A=E &  ~ (k3_funct_2(B, C, D, E)=k1_xboole_0) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_card_3, axiom,  (! [A, B] :  (v4_funct_1(B) =>  (r2_hidden(A, a_1_0_card_3(B)) <=>  (? [C] :  (m1_subset_1(C, B) & A=k9_xtuple_0(C)) ) ) ) ) ).
fof(fraenkel_a_2_0_card_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & v4_funct_1(B))  =>  (r2_hidden(A, a_2_0_card_3(B, C)) <=>  (? [D] :  (m1_subset_1(D, B) & A=k1_funct_1(D, C)) ) ) ) ) ).
fof(t1_card_4, axiom,  (! [A] :  (v1_finset_1(A) => v4_card_3(A)) ) ).
fof(t2_card_4, axiom, v4_card_3(k4_ordinal1)).
fof(t3_card_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ ( ( ~ ( (B=k5_numbers &  ~ (A=k5_numbers) ) )  & k1_newton(B, A)=k5_numbers) )  &  ~ ( ( ~ (k1_newton(B, A)=k5_numbers)  &  (B=k5_numbers &  ~ (A=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(t4_card_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (k3_xcmplx_0(k1_newton(2, A), k1_nat_1(k3_xcmplx_0(2, D), 1))=k3_xcmplx_0(k1_newton(2, B), k1_nat_1(k3_xcmplx_0(2, C), 1)) =>  (A=B & D=C) ) ) ) ) ) ) ) ) ) ).
fof(t5_card_4, axiom,  (r2_wellord2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_ordinal1) & k1_card_1(k4_ordinal1)=k1_card_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1))) ).
fof(t6_card_4, axiom, k2_card_2(k4_ordinal1, k4_ordinal1)=k4_ordinal1).
fof(t7_card_4, axiom,  (! [A] :  (! [B] :  ( (v4_card_3(A) & v4_card_3(B))  => v4_card_3(k2_zfmisc_1(A, B))) ) ) ).
fof(t8_card_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (r2_wellord2(k4_finseq_2(1, A), A) & k1_card_1(k4_finseq_2(1, A))=k1_card_1(A)) ) ) ).
fof(t9_card_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_wellord2(k2_zfmisc_1(k4_finseq_2(C, A), k4_finseq_2(B, A)), k4_finseq_2(k2_xcmplx_0(C, B), A)) & k1_card_1(k2_zfmisc_1(k4_finseq_2(C, A), k4_finseq_2(B, A)))=k1_card_1(k4_finseq_2(k2_xcmplx_0(C, B), A))) ) ) ) ) ) ) ).
fof(t10_card_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (v4_card_3(A) => v4_card_3(k4_finseq_2(B, A))) ) ) ) ) ).
fof(t11_card_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  ( (v4_card_3(k9_xtuple_0(A)) &  (! [B] :  (r2_tarski(B, k9_xtuple_0(A)) => v4_card_3(k1_funct_1(A, B))) ) )  => v4_card_3(k3_card_3(A))) ) ) ).
fof(t12_card_4, axiom,  (! [A] :  ( (v4_card_3(A) &  (! [B] :  (r2_tarski(B, A) => v4_card_3(B)) ) )  => v4_card_3(k3_tarski(A))) ) ).
fof(t13_card_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v4_card_3(A) => v4_card_3(k3_finseq_2(A))) ) ) ).
fof(t14_card_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => r1_ordinal1(k4_ordinal1, k1_card_1(k3_finseq_2(A)))) ) ).
fof(t15_card_4, axiom,  (! [A] :  (v1_card_1(A) =>  ( ~ (v1_finset_1(A))  => k2_card_2(A, A)=A) ) ) ).
fof(t16_card_4, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) =>  (r2_tarski(k5_numbers, B) =>  (v1_finset_1(A) |  ( ( ~ (r1_ordinal1(B, A))  &  ~ (r2_tarski(B, A)) )  |  (k2_card_2(A, B)=A & k2_card_2(B, A)=A) ) ) ) ) ) ) ) ).
fof(t17_card_4, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) =>  ~ ( ( ~ (v1_finset_1(A))  &  ( (r1_ordinal1(B, A) | r2_tarski(B, A))  &  ~ ( (r1_ordinal1(k2_card_2(A, B), A) & r1_ordinal1(k2_card_2(B, A), A)) ) ) ) ) ) ) ) ) ).
fof(t18_card_4, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  (r2_wellord2(k2_zfmisc_1(A, A), A) & k1_card_1(k2_zfmisc_1(A, A))=k1_card_1(A)) ) ) ).
fof(t19_card_4, axiom,  (! [A] :  (! [B] :  (v1_finset_1(B) =>  (v1_finset_1(A) |  (B=k1_xboole_0 |  (r2_wellord2(k2_zfmisc_1(A, B), A) & k1_card_1(k2_zfmisc_1(A, B))=k1_card_1(A)) ) ) ) ) ) ).
fof(t20_card_4, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) =>  (! [C] :  (v1_card_1(C) =>  (! [D] :  (v1_card_1(D) =>  ( (r2_tarski(B, A) & r2_tarski(C, D))  =>  (r2_tarski(k2_card_2(B, C), k2_card_2(A, D)) & r2_tarski(k2_card_2(C, B), k2_card_2(A, D))) ) ) ) ) ) ) ) ) ) ).
fof(t21_card_4, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  => k1_card_1(A)=k2_card_2(k4_ordinal1, k1_card_1(A))) ) ).
fof(t22_card_4, axiom,  (! [A] :  (! [B] :  (v1_finset_1(A) =>  (A=k1_xboole_0 |  (v1_finset_1(B) | k2_card_2(k1_card_1(B), k1_card_1(A))=k1_card_1(B)) ) ) ) ) ).
fof(t23_card_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (v1_finset_1(A))  &  ( ~ (B=k5_numbers)  &  ~ ( (r2_wellord2(k4_finseq_2(B, A), A) & k1_card_1(k4_finseq_2(B, A))=k1_card_1(A)) ) ) ) ) ) ) ) ) ).
fof(t24_card_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v1_finset_1(A))  => k1_card_1(A)=k1_card_1(k3_finseq_2(A))) ) ) ).
fof(s1_card_4, axiom, v4_card_3(a_0_0_card_4)).
fof(s2_card_4, axiom, v4_card_3(a_0_1_card_4)).
fof(s3_card_4, axiom, v4_card_3(a_0_2_card_4)).
fof(fraenkel_a_0_0_card_4, axiom,  (! [A] :  (r2_hidden(A, a_0_0_card_4) <=>  (? [B] :  (v7_ordinal1(B) &  (A=f1_s1_card_4(B) & p1_s1_card_4(B)) ) ) ) ) ).
fof(fraenkel_a_0_1_card_4, axiom,  (! [A] :  (r2_hidden(A, a_0_1_card_4) <=>  (? [B, C] :  ( (v7_ordinal1(B) & v7_ordinal1(C))  &  (A=f1_s2_card_4(B, C) & p1_s2_card_4(B, C)) ) ) ) ) ).
fof(fraenkel_a_0_2_card_4, axiom,  (! [A] :  (r2_hidden(A, a_0_2_card_4) <=>  (? [B, C, D] :  ( (v7_ordinal1(B) &  (v7_ordinal1(C) & v7_ordinal1(D)) )  &  (A=f1_s3_card_4(B, C, D) & p1_s3_card_4(B, C, D)) ) ) ) ) ).
fof(fc1_card_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_ordinal2(A)) ) )  => v3_ordinal1(k3_card_3(A))) ) ).
fof(rc1_card_5, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  ( ~ (v1_finset_1(A))  & v1_card_1(A)) ) ) ) ) ).
fof(cc1_card_5, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(fc2_card_5, axiom,  (! [A] :  (v3_ordinal1(A) =>  ~ (v1_finset_1(k3_card_1(A))) ) ) ).
fof(fc3_card_5, axiom,  (! [A, B] :  ( ( ( ~ (v1_finset_1(A))  & v1_card_1(A))  & v1_card_1(B))  =>  ( ~ (v1_finset_1(k1_card_2(A, B)))  & v1_card_1(k1_card_2(A, B))) ) ) ).
fof(fc4_card_5, axiom,  (! [A, B] :  ( (v1_card_1(A) &  ( ~ (v1_finset_1(B))  & v1_card_1(B)) )  =>  ( ~ (v1_finset_1(k1_card_2(A, B)))  & v1_card_1(k1_card_2(A, B))) ) ) ).
fof(fc5_card_5, axiom,  (! [A, B] :  ( ( ( ~ (v1_finset_1(A))  & v1_card_1(A))  &  ( ~ (v1_finset_1(B))  & v1_card_1(B)) )  =>  ( ~ (v1_finset_1(k2_card_2(A, B)))  & v1_card_1(k2_card_2(A, B))) ) ) ).
fof(fc6_card_5, axiom,  (! [A, B] :  ( ( ( ~ (v1_finset_1(A))  & v1_card_1(A))  &  ( ~ (v1_finset_1(B))  & v1_card_1(B)) )  =>  ( ~ (v1_finset_1(k3_card_2(A, B)))  & v1_card_1(k3_card_2(A, B))) ) ) ).
fof(fc7_card_5, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v1_card_1(A))  =>  ( ~ (v1_finset_1(k2_card_1(A)))  & v1_card_1(k2_card_1(A))) ) ) ).
fof(fc8_card_5, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v1_card_1(A))  =>  ( ~ (v1_finset_1(k1_card_5(A)))  & v1_card_1(k1_card_5(A))) ) ) ).
fof(fc9_card_5, axiom,  (! [A, B, C] :  ( (v3_ordinal1(A) & m1_subset_1(B, k1_zfmisc_1(A)))  => v3_ordinal1(k1_funct_1(k3_wellord1(k1_wellord2(k2_wellord2(k1_wellord2(B))), k1_wellord2(B)), C))) ) ).
fof(fc10_card_5, axiom,  (! [A, B] :  (v6_membered(A) => v7_ordinal1(k1_funct_1(k3_wellord1(k1_wellord2(k2_wellord2(k1_wellord2(A))), k1_wellord2(A)), B))) ) ).
fof(t1_card_5, axiom,  (! [A] : k2_card_1(k1_card_1(A))=k2_card_1(A)) ).
fof(t2_card_5, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_hidden(A, k3_card_3(B)) <=>  (? [C] :  (r2_hidden(C, k9_xtuple_0(B)) & r2_hidden(A, k1_funct_1(B, C))) ) ) ) ) ) ).
fof(t3_card_5, axiom,  (! [A] :  (v3_ordinal1(A) =>  ~ (v1_finset_1(k3_card_1(A))) ) ) ).
fof(t4_card_5, axiom,  (! [A] :  (v1_card_1(A) =>  ~ ( ( ~ (v1_finset_1(A))  &  (! [B] :  (v3_ordinal1(B) =>  ~ (A=k3_card_1(B)) ) ) ) ) ) ) ).
fof(t5_card_5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ~ ( (r1_tarski(B, A) &  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v5_ordinal1(C) & v1_ordinal2(C)) ) )  =>  ~ ( (C=k3_wellord1(k1_wellord2(k2_wellord2(k1_wellord2(B))), k1_wellord2(B)) &  (v2_ordinal2(C) &  (k9_xtuple_0(C)=k2_wellord2(k1_wellord2(B)) & k10_xtuple_0(C)=B) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_card_5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (r1_tarski(B, A) => r2_ordinal2(k3_ordinal2(B), k2_wellord2(k1_wellord2(B)))) ) ) ) ).
fof(t7_card_5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (r1_tarski(B, A) => k1_card_1(B)=k1_card_1(k2_wellord2(k1_wellord2(B)))) ) ) ) ).
fof(t8_card_5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (? [B] :  (v3_ordinal1(B) &  (r1_ordinal1(B, k1_card_1(A)) & r2_ordinal2(A, B)) ) ) ) ) ).
fof(t9_card_5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (? [B] :  (v1_card_1(B) &  (r1_ordinal1(B, k1_card_1(A)) &  (r2_ordinal2(A, B) &  (! [C] :  (v3_ordinal1(C) =>  (r2_ordinal2(A, C) => r1_ordinal1(B, C)) ) ) ) ) ) ) ) ) ).
fof(t10_card_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_ordinal2(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_ordinal2(B)) ) )  =>  ( (k10_xtuple_0(A)=k10_xtuple_0(B) &  (v2_ordinal2(A) & v2_ordinal2(B)) )  => A=B) ) ) ) ) ).
fof(t11_card_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_ordinal2(A)) ) )  =>  (v2_ordinal2(A) => v2_funct_1(A)) ) ) ).
fof(t12_card_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_ordinal2(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_ordinal2(B)) ) )  => k5_relat_1(k1_ordinal4(A, B), k9_xtuple_0(A))=A) ) ) ) ).
fof(t14_card_5, axiom,  (! [A] :  (v1_card_1(A) => r2_tarski(A, k3_card_2(2, A))) ) ).
fof(d1_card_5, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) =>  (B=k1_card_5(A) <=>  (r2_ordinal2(A, B) &  (! [C] :  (v1_card_1(C) =>  (r2_ordinal2(A, C) => r1_ordinal1(B, C)) ) ) ) ) ) ) ) ) ).
fof(d2_card_5, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_card_3(C)) )  =>  (C=k2_card_5(A, B) <=>  ( (! [D] :  (r2_hidden(D, k9_xtuple_0(C)) <=>  (r2_hidden(D, A) & v1_card_1(D)) ) )  &  (! [D] :  (v1_card_1(D) =>  (r2_tarski(D, A) => k1_funct_1(C, D)=k3_card_2(D, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_card_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_finset_1(B))  & v1_card_1(B))  =>  ( ~ (B=k5_numbers)  &  ( ~ (B=1)  &  ( ~ (B=2)  &  ( ~ (B=k4_card_1(A))  &  (r2_tarski(k4_card_1(A), B) & r1_tarski(k4_ordinal1, B)) ) ) ) ) ) ) ) ) ).
fof(t17_card_5, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  ( ( ~ (v1_finset_1(B))  & v1_card_1(B))  =>  ( (r1_ordinal1(B, A) | r2_tarski(B, A))  =>  ( ~ (v1_finset_1(A))  & v1_card_1(A)) ) ) ) ) ) ).
fof(t18_card_5, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  ( ( ~ (v1_finset_1(B))  & v1_card_1(B))  =>  ( (r1_ordinal1(B, A) | r2_tarski(B, A))  =>  (k1_card_2(B, A)=A &  (k1_card_2(A, B)=A &  (k2_card_2(B, A)=A & k2_card_2(A, B)=A) ) ) ) ) ) ) ) ).
fof(t19_card_5, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v1_card_1(A))  =>  (k1_card_2(A, A)=A & k2_card_2(A, A)=A) ) ) ).
fof(t20_card_5, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  ( ( ~ (v1_finset_1(B))  & v1_card_1(B))  => r1_ordinal1(A, k3_card_2(A, B))) ) ) ) ).
fof(t21_card_5, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v1_card_1(A))  => k3_tarski(A)=A) ) ).
fof(d3_card_5, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v1_card_1(A))  =>  (v1_card_5(A) <=> k1_card_5(A)=A) ) ) ).
fof(t22_card_5, axiom, k1_card_5(k4_ordinal1)=k4_ordinal1).
fof(t23_card_5, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v1_card_1(A))  => k1_card_5(k2_card_1(A))=k2_card_1(A)) ) ).
fof(t24_card_5, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v1_card_1(A))  => r1_tarski(k4_ordinal1, k1_card_5(A))) ) ).
fof(t25_card_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (k1_card_5(k5_numbers)=k5_numbers & k1_card_5(k4_card_1(k1_nat_1(A, 1)))=1) ) ) ).
fof(t26_card_5, axiom,  (! [A] :  (! [B] :  (v1_card_1(B) =>  ( (r1_tarski(A, B) & r2_tarski(k1_card_1(A), k1_card_5(B)))  =>  (r2_tarski(k3_ordinal2(A), B) & r2_tarski(k3_tarski(A), B)) ) ) ) ) ).
fof(t27_card_5, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (v1_card_1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v5_ordinal1(C) & v1_ordinal2(C)) ) )  =>  ( (k9_xtuple_0(C)=A &  (r1_tarski(k10_xtuple_0(C), B) & r2_tarski(A, k1_card_5(B))) )  =>  (r2_tarski(k4_ordinal2(C), B) & r2_tarski(k3_card_3(C), B)) ) ) ) ) ) ) ) ).
fof(t28_card_5, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v1_card_1(A))  =>  (r2_tarski(k1_card_5(A), A) => v2_card_1(A)) ) ) ).
fof(t29_card_5, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v1_card_1(A))  =>  ~ ( (r2_tarski(k1_card_5(A), A) &  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_ordinal2(B)) ) )  =>  ~ ( (k9_xtuple_0(B)=k1_card_5(A) &  (r1_tarski(k10_xtuple_0(B), A) &  (v2_ordinal2(B) &  (A=k4_ordinal2(B) &  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_card_3(B)) )  &  ~ (r2_tarski(k5_numbers, k10_xtuple_0(B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_card_5, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v1_card_1(A))  =>  (v1_card_5(k4_ordinal1) & v1_card_5(k2_card_1(A))) ) ) ).
fof(t31_card_5, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v1_card_1(A))  =>  (! [B] :  ( ( ~ (v1_finset_1(B))  & v1_card_1(B))  =>  (r1_ordinal1(A, B) => k3_card_2(A, B)=k3_card_2(2, B)) ) ) ) ) ).
fof(t32_card_5, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v1_card_1(A))  =>  (! [B] :  ( ( ~ (v1_finset_1(B))  & v1_card_1(B))  => k3_card_2(k2_card_1(A), B)=k2_card_2(k3_card_2(A, B), k2_card_1(A))) ) ) ) ).
fof(t33_card_5, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v1_card_1(A))  =>  (! [B] :  ( ( ~ (v1_finset_1(B))  & v1_card_1(B))  => r1_ordinal1(k6_card_3(k2_card_5(A, B)), k3_card_2(A, B))) ) ) ) ).
fof(t34_card_5, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v1_card_1(A))  =>  (! [B] :  ( ( ~ (v1_finset_1(B))  & v1_card_1(B))  =>  ( (v2_card_1(A) & r2_tarski(B, k1_card_5(A)))  => k3_card_2(A, B)=k6_card_3(k2_card_5(A, B))) ) ) ) ) ).
fof(t35_card_5, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v1_card_1(A))  =>  (! [B] :  ( ( ~ (v1_finset_1(B))  & v1_card_1(B))  =>  ( (r1_ordinal1(k1_card_5(A), B) & r2_tarski(B, A))  => k3_card_2(A, B)=k3_card_2(k6_card_3(k2_card_5(A, B)), k1_card_5(A))) ) ) ) ) ).
fof(t36_card_5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v1_finset_1(B) =>  (r1_tarski(B, A) => k2_wellord2(k1_wellord2(B))=k4_card_1(B)) ) ) ) ) ).
fof(t37_card_5, axiom,  (! [A] :  (! [B] :  (v3_ordinal1(B) =>  (r1_tarski(k1_tarski(A), B) => k2_wellord2(k1_wellord2(k1_tarski(A)))=1) ) ) ) ).
fof(t38_card_5, axiom,  (! [A] :  (! [B] :  (v3_ordinal1(B) =>  (r1_tarski(k1_tarski(A), B) => k3_wellord1(k1_wellord2(k2_wellord2(k1_wellord2(k1_tarski(A)))), k1_wellord2(k1_tarski(A)))=k17_funcop_1(k5_numbers, A)) ) ) ) ).
fof(t39_card_5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k4_ordinal1)) => r1_ordinal1(k1_card_1(A), k2_wellord2(k1_wellord2(A)))) ) ).
fof(dt_k1_card_5, axiom,  (! [A] :  (v1_card_1(A) => v1_card_1(k1_card_5(A))) ) ).
fof(dt_k2_card_5, axiom,  (! [A, B] :  ( (v1_card_1(A) & v1_card_1(B))  =>  (v1_relat_1(k2_card_5(A, B)) &  (v1_funct_1(k2_card_5(A, B)) & v1_card_3(k2_card_5(A, B))) ) ) ) ).
fof(t13_card_5, axiom,  (! [A] :  (! [B] :  (v1_card_1(B) =>  ( ~ (A=k1_xboole_0)  => r1_ordinal1(k1_card_1(a_2_0_card_5(A, B)), k2_card_2(B, k3_card_2(k1_card_1(A), B)))) ) ) ) ).
fof(fraenkel_a_2_0_card_5, axiom,  (! [A, B, C] :  (v1_card_1(C) =>  (r2_hidden(A, a_2_0_card_5(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) &  (A=D & r2_tarski(k1_card_1(D), C)) ) ) ) ) ) ).
fof(fc1_card_fil, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) )  =>  ~ (v1_xboole_0(k7_setfam_1(A, B))) ) ) ).
fof(rc1_card_fil, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  (? [B] :  (m1_card_fil(B, A) &  ( ~ (v1_xboole_0(B))  &  ( ~ (v2_card_fil(B, A))  & v3_card_fil(B, A)) ) ) ) ) ) ).
fof(cc1_card_fil, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  (! [B] :  (m1_card_fil(B, A) =>  ( (v1_card_fil(B, A) & v3_card_fil(B, A))  =>  ~ (v2_card_fil(B, A)) ) ) ) ) ) ).
fof(cc2_card_fil, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  &  (v1_card_1(A) & v4_card_fil(A)) )  =>  ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  (v2_card_1(A) & v1_card_5(A)) ) ) ) ) ).
fof(cc3_card_fil, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  &  (v1_card_1(A) & v5_card_fil(A)) )  =>  ( ~ (v1_finset_1(A))  &  (v1_card_1(A) & v2_card_1(A)) ) ) ) ).
fof(cc4_card_fil, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  &  (v1_card_1(A) & v6_card_fil(A)) )  =>  ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  (v1_card_5(A) & v5_card_fil(A)) ) ) ) ) ).
fof(cc5_card_fil, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  &  (v1_card_1(A) & v6_card_fil(A)) )  =>  ( ~ (v1_finset_1(A))  &  (v1_card_1(A) & v4_card_fil(A)) ) ) ) ).
fof(fc2_card_fil, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v1_card_1(A))  =>  (v1_card_1(k2_card_1(A)) &  ~ (v2_card_1(k2_card_1(A))) ) ) ) ).
fof(rc2_card_fil, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ~ (v2_card_1(A)) ) ) ) ) ) ) ).
fof(cc6_card_fil, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ~ (v2_card_1(A)) ) )  =>  ( ~ (v1_finset_1(A))  &  (v1_card_1(A) & v1_card_5(A)) ) ) ) ).
fof(fc3_card_fil, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ~ (v2_card_1(A)) ) )  =>  ( ~ (v1_finset_1(k6_card_fil(A)))  & v1_card_1(k6_card_fil(A))) ) ) ).
fof(t1_card_fil, axiom,  (! [A] :  (! [B] :  ( ~ (v1_finset_1(B))  => r2_tarski(k4_card_1(k1_tarski(A)), k1_card_1(B))) ) ) ).
fof(t2_card_fil, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ( ~ (v1_xboole_0(k1_tarski(A)))  & m1_subset_1(k1_tarski(A), k1_zfmisc_1(k1_zfmisc_1(A))))  &  ( ~ (r2_tarski(k1_xboole_0, k1_tarski(A)))  &  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  ( ( (r2_tarski(B, k1_tarski(A)) & r2_tarski(C, k1_tarski(A)))  => r2_tarski(k9_subset_1(A, B, C), k1_tarski(A)))  &  ( (r2_tarski(B, k1_tarski(A)) & r1_tarski(B, C))  => r2_tarski(C, k1_tarski(A))) ) ) ) ) ) ) ) ) ) ).
fof(d1_card_fil, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  (m1_card_fil(B, A) <=>  ( ~ (r2_tarski(k1_xboole_0, B))  &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  ( ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k9_subset_1(A, C, D), B))  &  ( (r2_tarski(C, B) & r1_tarski(C, D))  => r2_tarski(D, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_card_fil, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_card_fil(B, A) <=>  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  &  ( ~ (r2_tarski(k1_xboole_0, B))  &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  ( ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k9_subset_1(A, C, D), B))  &  ( (r2_tarski(C, B) & r1_tarski(C, D))  => r2_tarski(D, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_card_fil, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => m1_card_fil(k1_tarski(A), A)) ) ).
fof(t5_card_fil, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_card_fil(B, A) => r2_tarski(A, B)) ) ) ) ).
fof(t6_card_fil, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_card_fil(C, A) =>  ~ ( (r2_tarski(B, C) & r2_tarski(k6_subset_1(A, B), C)) ) ) ) ) ) ) ) ).
fof(t7_card_fil, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_card_fil(B, A) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  ( (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (r2_tarski(D, C) <=> r2_tarski(k3_subset_1(A, D), B)) ) )  =>  ( ~ (r2_tarski(A, C))  &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  ( ( (r2_tarski(D, C) & r2_tarski(E, C))  => r2_tarski(k4_subset_1(A, D, E), C))  &  ( (r2_tarski(D, C) & r1_tarski(E, D))  => r2_tarski(E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_card_fil, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  (m2_card_fil(B, A) <=>  ( ~ (r2_tarski(A, B))  &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  ( ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k4_subset_1(A, C, D), B))  &  ( (r2_tarski(C, B) & r1_tarski(D, C))  => r2_tarski(D, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_card_fil, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_card_fil(B, A) =>  (! [C] :  (m2_card_fil(C, A) =>  ( (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  ~ ( (r2_tarski(D, B) & r2_tarski(D, k1_card_fil(A, B))) ) ) )  &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  ~ ( (r2_tarski(D, C) & r2_tarski(D, k7_setfam_1(A, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_card_fil, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_card_fil(B, A) => r2_tarski(k1_xboole_0, B)) ) ) ) ).
fof(d3_card_fil, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v1_card_1(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  (r1_card_fil(A, B, C) <=>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  ( (r1_tarski(D, C) & r2_tarski(k1_card_1(D), B))  => r2_tarski(k1_setfam_1(D), C)) ) ) ) ) ) ) ) ) ) ).
fof(d4_card_fil, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v1_card_1(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  (r2_card_fil(A, B, C) <=>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  ( (r1_tarski(D, C) & r2_tarski(k1_card_1(D), B))  => r2_tarski(k3_tarski(D), C)) ) ) ) ) ) ) ) ) ) ).
fof(t12_card_fil, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B))))  =>  (r1_card_fil(B, A, C) => r2_card_fil(B, A, k7_setfam_1(B, C))) ) ) ) ) ) ) ).
fof(d5_card_fil, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_card_fil(B, A) =>  (v1_card_fil(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (r2_tarski(C, B) => k1_card_1(C)=k1_card_1(A)) ) ) ) ) ) ) ) ).
fof(d6_card_fil, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_card_fil(B, A) =>  (v2_card_fil(B, A) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) &  (r2_tarski(C, B) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (r2_tarski(D, B) => r1_tarski(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_card_fil, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_card_fil(B, A) =>  (v3_card_fil(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (r2_tarski(C, B) | r2_tarski(k6_subset_1(A, C), B)) ) ) ) ) ) ) ) ).
fof(t13_card_fil, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_card_fil(C, A) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (r2_tarski(D, k2_card_fil(A, C, B)) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) &  (r2_tarski(E, C) & r1_tarski(k9_subset_1(A, E, B), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_card_fil, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_card_fil(C, A) =>  ( (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  ~ ( (r2_tarski(D, C) & r1_xboole_0(D, B)) ) ) )  =>  (r2_tarski(B, k2_card_fil(A, C, B)) &  (m1_card_fil(k2_card_fil(A, C, B), A) & r1_tarski(C, k2_card_fil(A, C, B))) ) ) ) ) ) ) ) ) ).
fof(t15_card_fil, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (r2_tarski(B, k3_card_fil(A)) <=> m1_card_fil(B, A)) ) ) ) ).
fof(t16_card_fil, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k3_card_fil(A))))  =>  (v6_ordinal1(B) => m1_card_fil(k3_tarski(B), A)) ) ) ) ) ).
fof(t17_card_fil, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_card_fil(B, A) =>  (? [C] :  (m1_card_fil(C, A) &  (r1_tarski(B, C) & v3_card_fil(C, A)) ) ) ) ) ) ) ).
fof(d11_card_fil, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  => k5_card_fil(A)=k1_card_fil(A, k4_card_fil(A))) ) ).
fof(t18_card_fil, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (r2_tarski(B, k4_card_fil(A)) <=> r2_tarski(k1_card_1(k6_subset_1(A, B)), k1_card_1(A))) ) ) ) ) ).
fof(t19_card_fil, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (r2_tarski(B, k5_card_fil(A)) <=> r2_tarski(k1_card_1(B), k1_card_1(A))) ) ) ) ) ).
fof(t20_card_fil, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  (! [B] :  (m1_card_fil(B, A) =>  (r1_tarski(k4_card_fil(A), B) => v1_card_fil(B, A)) ) ) ) ) ).
fof(t21_card_fil, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  (! [B] :  (m1_card_fil(B, A) =>  ( (v1_card_fil(B, A) & v3_card_fil(B, A))  => r1_tarski(k4_card_fil(A), B)) ) ) ) ) ).
fof(t22_card_fil, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  (! [B] :  ( (v3_card_fil(B, A) & m1_card_fil(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (r2_tarski(C, B) <=>  ~ (r2_tarski(C, k1_card_fil(A, B))) ) ) ) ) ) ) ) ).
fof(t23_card_fil, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  (! [B] :  (m1_card_fil(B, A) =>  ( (v3_card_fil(B, A) & r1_card_fil(A, k1_card_1(A), B))  =>  (v2_card_fil(B, A) | v1_card_fil(B, A)) ) ) ) ) ) ).
fof(t24_card_fil, axiom,  (! [A] :  (v1_card_1(A) => r1_ordinal1(k2_card_1(A), k3_card_2(2, A))) ) ).
fof(d12_card_fil, axiom,  (r3_card_fil <=>  (! [A] :  ( ( ~ (v1_finset_1(A))  & v1_card_1(A))  => k2_card_1(A)=k3_card_2(2, A)) ) ) ).
fof(d13_card_fil, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v1_card_1(A))  =>  (v4_card_fil(A) <=>  (v1_card_5(A) & v2_card_1(A)) ) ) ) ).
fof(t25_card_fil, axiom, v4_card_fil(k4_ordinal1)).
fof(d14_card_fil, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v1_card_1(A))  =>  (v5_card_fil(A) <=>  (! [B] :  (v1_card_1(B) =>  (r2_tarski(B, A) => r2_tarski(k3_card_2(2, B), A)) ) ) ) ) ) ).
fof(t26_card_fil, axiom, v5_card_fil(k4_ordinal1)).
fof(t27_card_fil, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v1_card_1(A))  =>  (v5_card_fil(A) => v2_card_1(A)) ) ) ).
fof(t28_card_fil, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v1_card_1(A))  =>  ( (r3_card_fil & v2_card_1(A))  => v5_card_fil(A)) ) ) ).
fof(d15_card_fil, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v1_card_1(A))  =>  (v6_card_fil(A) <=>  (v1_card_5(A) & v5_card_fil(A)) ) ) ) ).
fof(t29_card_fil, axiom, v6_card_fil(k4_ordinal1)).
fof(t30_card_fil, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v1_card_1(A))  =>  (v6_card_fil(A) => v4_card_fil(A)) ) ) ).
fof(t31_card_fil, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v1_card_1(A))  =>  ( (r3_card_fil & v4_card_fil(A))  => v6_card_fil(A)) ) ) ).
fof(d16_card_fil, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v1_card_1(A))  =>  (v7_card_fil(A) <=>  (? [B] :  (m1_card_fil(B, A) &  (r1_card_fil(A, A, B) &  ( ~ (v2_card_fil(B, A))  & v3_card_fil(B, A)) ) ) ) ) ) ) ).
fof(t32_card_fil, axiom,  (! [A] :  ( (v3_ordinal1(A) & v4_ordinal1(A))  =>  (! [B] :  ( (r1_tarski(B, A) & k3_ordinal2(B)=A)  => k3_tarski(B)=A) ) ) ) ).
fof(t33_card_fil, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v1_card_1(A))  =>  (v7_card_fil(A) => v1_card_5(A)) ) ) ).
fof(d17_card_fil, axiom,  (! [A] :  ( (v1_card_1(A) &  ~ (v2_card_1(A)) )  =>  (! [B] :  (v1_card_1(B) =>  (B=k6_card_fil(A) <=> A=k2_card_1(B)) ) ) ) ) ).
fof(t34_card_fil, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ~ (v2_card_1(A)) ) )  =>  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k6_card_fil(A), A), k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_card_fil(A), A), k9_setfam_1(A))))) )  & r4_card_fil(A, B)) ) ) ) ).
fof(t35_card_fil, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ~ (v2_card_1(A)) ) )  =>  (! [B] :  (m2_card_fil(B, A) =>  ~ ( (r2_card_fil(A, A, B) &  (r1_tarski(k5_card_fil(A), B) &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))) =>  ~ ( (k1_card_1(C)=A &  ( (! [D] :  ~ ( (r2_tarski(D, C) & r2_tarski(D, B)) ) )  &  (! [D] :  (! [E] :  ( (r2_tarski(D, C) & r2_tarski(E, C))  =>  (D=E | r1_xboole_0(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_card_fil, axiom,  (! [A] :  (! [B] :  (v1_card_1(B) =>  ~ ( (r1_ordinal1(B, k1_card_1(A)) &  (! [C] :  ~ ( (r1_tarski(C, A) & k1_card_1(C)=B) ) ) ) ) ) ) ) ).
fof(t37_card_fil, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ~ (v2_card_1(A)) ) )  =>  (! [B] :  (m1_card_fil(B, A) =>  ~ ( (v1_card_fil(B, A) &  (v3_card_fil(B, A) & r1_card_fil(A, A, B)) ) ) ) ) ) ) ).
fof(t38_card_fil, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v1_card_1(A))  =>  (v7_card_fil(A) => v2_card_1(A)) ) ) ).
fof(t39_card_fil, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v1_card_1(A))  =>  (v7_card_fil(A) => v4_card_fil(A)) ) ) ).
fof(t40_card_fil, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v1_card_1(A))  =>  (v7_card_fil(A) => v5_card_fil(A)) ) ) ).
fof(t41_card_fil, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v1_card_1(A))  =>  (v7_card_fil(A) => v6_card_fil(A)) ) ) ).
fof(dt_f1_s1_card_fil, axiom,  ~ (v1_xboole_0(f1_s1_card_fil)) ).
fof(dt_m1_card_fil, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_card_fil(B, A) =>  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ) ) ).
fof(existence_m1_card_fil, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] : m1_card_fil(B, A)) ) ) ).
fof(dt_m2_card_fil, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_card_fil(B, A) =>  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ) ) ).
fof(existence_m2_card_fil, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] : m2_card_fil(B, A)) ) ) ).
fof(dt_k1_card_fil, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_card_fil(B, A))  => m2_card_fil(k1_card_fil(A, B), A)) ) ).
fof(involutiveness_k1_card_fil, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_card_fil(B, A))  => k1_card_fil(A, k1_card_fil(A, B))=B) ) ).
fof(redefinition_k1_card_fil, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_card_fil(B, A))  => k1_card_fil(A, B)=k7_setfam_1(A, B)) ) ).
fof(dt_k2_card_fil, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_card_fil(B, A) & m1_subset_1(C, k1_zfmisc_1(A))) )  =>  ( ~ (v1_xboole_0(k2_card_fil(A, B, C)))  & m1_subset_1(k2_card_fil(A, B, C), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ).
fof(dt_k3_card_fil, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v1_xboole_0(k3_card_fil(A)))  & m1_subset_1(k3_card_fil(A), k1_zfmisc_1(k1_zfmisc_1(k9_setfam_1(A))))) ) ) ).
fof(dt_k4_card_fil, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  => m1_card_fil(k4_card_fil(A), A)) ) ).
fof(dt_k5_card_fil, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  => m2_card_fil(k5_card_fil(A), A)) ) ).
fof(dt_k6_card_fil, axiom,  (! [A] :  ( (v1_card_1(A) &  ~ (v2_card_1(A)) )  => v1_card_1(k6_card_fil(A))) ) ).
fof(t8_card_fil, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  => k7_setfam_1(A, B)=a_2_0_card_fil(A, B)) ) ) ) ).
fof(t9_card_fil, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  => k7_setfam_1(A, B)=a_2_1_card_fil(A, B)) ) ) ) ).
fof(d8_card_fil, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_card_fil(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k2_card_fil(A, B, C)=a_3_0_card_fil(A, B, C)) ) ) ) ) ) ).
fof(d9_card_fil, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k3_card_fil(A)=a_1_0_card_fil(A)) ) ).
fof(d10_card_fil, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  => k4_card_fil(A)=a_1_1_card_fil(A)) ) ).
fof(d18_card_fil, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ~ (v2_card_1(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k6_card_fil(A), A), k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_card_fil(A), A), k9_setfam_1(A))))) )  =>  (r4_card_fil(A, B) <=>  ( (! [C] :  (m1_subset_1(C, k6_card_fil(A)) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  ( ~ (D=E)  => v1_xboole_0(k9_subset_1(A, k2_binop_1(k6_card_fil(A), A, k9_setfam_1(A), B, C, D), k2_binop_1(k6_card_fil(A), A, k9_setfam_1(A), B, C, E)))) ) ) ) ) ) )  &  ( (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, k6_card_fil(A)) =>  (! [E] :  (m1_subset_1(E, k6_card_fil(A)) =>  ( ~ (D=E)  => v1_xboole_0(k9_subset_1(A, k2_binop_1(k6_card_fil(A), A, k9_setfam_1(A), B, D, C), k2_binop_1(k6_card_fil(A), A, k9_setfam_1(A), B, E, C)))) ) ) ) ) ) )  &  ( (! [C] :  (m1_subset_1(C, k6_card_fil(A)) => r1_ordinal1(k1_card_1(k6_subset_1(A, k3_tarski(a_3_2_card_fil(A, B, C)))), k6_card_fil(A))) )  &  (! [C] :  (m1_subset_1(C, A) => r1_ordinal1(k1_card_1(k6_subset_1(A, k3_tarski(a_3_3_card_fil(A, B, C)))), k6_card_fil(A))) ) ) ) ) ) ) ) ) ) ).
fof(s1_card_fil, axiom,  (r2_tarski(f2_s1_card_fil, a_0_0_card_fil) => p1_s1_card_fil(f2_s1_card_fil)) ).
fof(fraenkel_a_2_0_card_fil, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) )  =>  (r2_hidden(A, a_2_0_card_fil(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) &  (A=D & r2_tarski(k3_subset_1(B, D), C)) ) ) ) ) ) ).
fof(fraenkel_a_2_1_card_fil, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) )  =>  (r2_hidden(A, a_2_1_card_fil(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) &  (A=k3_subset_1(B, D) & r2_tarski(D, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_card_fil, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  (m1_card_fil(C, B) & m1_subset_1(D, k1_zfmisc_1(B))) )  =>  (r2_hidden(A, a_3_0_card_fil(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(B)) &  (A=E &  (? [F] :  (m1_subset_1(F, k1_zfmisc_1(B)) &  (r2_tarski(F, a_3_1_card_fil(B, C, D)) & r1_tarski(F, E)) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_card_fil, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  (m1_card_fil(C, B) & m1_subset_1(D, k1_zfmisc_1(B))) )  =>  (r2_hidden(A, a_3_1_card_fil(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(B)) &  (A=k9_subset_1(B, E, D) & r2_tarski(E, C)) ) ) ) ) ) ).
fof(fraenkel_a_1_0_card_fil, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (r2_hidden(A, a_1_0_card_fil(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B))) &  (A=C & m1_card_fil(C, B)) ) ) ) ) ) ).
fof(fraenkel_a_1_1_card_fil, axiom,  (! [A, B] :  ( ~ (v1_finset_1(B))  =>  (r2_hidden(A, a_1_1_card_fil(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) &  (A=C & r2_tarski(k1_card_1(k6_subset_1(B, C)), k1_card_1(B))) ) ) ) ) ) ).
fof(fraenkel_a_3_2_card_fil, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_finset_1(B))  &  (v1_card_1(B) &  ~ (v2_card_1(B)) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k6_card_fil(B), B), k9_setfam_1(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_card_fil(B), B), k9_setfam_1(B))))) )  & m1_subset_1(D, k6_card_fil(B))) )  =>  (r2_hidden(A, a_3_2_card_fil(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, B) &  (A=k2_binop_1(k6_card_fil(B), B, k9_setfam_1(B), C, D, E) & r2_tarski(E, B)) ) ) ) ) ) ).
fof(fraenkel_a_3_3_card_fil, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_finset_1(B))  &  (v1_card_1(B) &  ~ (v2_card_1(B)) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k6_card_fil(B), B), k9_setfam_1(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_card_fil(B), B), k9_setfam_1(B))))) )  & m1_subset_1(D, B)) )  =>  (r2_hidden(A, a_3_3_card_fil(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k6_card_fil(B)) &  (A=k2_binop_1(k6_card_fil(B), B, k9_setfam_1(B), C, E, D) & r2_tarski(E, k6_card_fil(B))) ) ) ) ) ) ).
fof(fraenkel_a_0_0_card_fil, axiom,  (! [A] :  (r2_hidden(A, a_0_0_card_fil) <=>  (? [B] :  (m1_subset_1(B, f1_s1_card_fil) &  (A=B & p1_s1_card_fil(B)) ) ) ) ) ).
fof(fc1_card_fin, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finset_1(A)) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v2_finset_1(k5_relat_1(A, B))) ) ) ).
fof(fc2_card_fin, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finset_1(A)) )  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k3_relat_1(B, A)) & v2_finset_1(k3_relat_1(B, A))) ) ) ).
fof(fc3_card_fin, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finset_1(A)) )  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k1_yellow20(A, B)) &  (v1_funct_1(k1_yellow20(A, B)) & v2_finset_1(k1_yellow20(A, B))) ) ) ) ).
fof(t4_card_fin, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (v1_finset_1(B) =>  ( (B=k1_xboole_0 => A=k1_xboole_0)  => k4_card_1(k1_funct_2(A, B))=k11_newton(k4_card_1(B), k4_card_1(A))) ) ) ) ) ).
fof(t6_card_fin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => m1_subset_1(k7_xcmplx_0(k7_newton(A), k7_newton(k7_nat_d(A, B))), k4_ordinal1)) ) ) ) ).
fof(d1_card_fin, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (! [D] :  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k9_funct_2(A, k2_tarski(C, D)))) =>  (E=k1_card_fin(A, B, C, D) <=>  (! [F] :  (r2_tarski(F, E) <=>  (? [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, k2_tarski(C, D)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k2_tarski(C, D))))) )  &  (G=F & k4_card_1(k8_relset_1(A, k2_tarski(C, D), G, k1_tarski(C)))=B) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_card_fin, axiom,  (! [A] :  (! [B] :  (v1_finset_1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (k4_card_1(B)=C)  => v1_xboole_0(k1_card_fin(B, C, A, A))) ) ) ) ) ) ).
fof(t10_card_fin, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (! [D] :  ( ~ (r1_xxreal_0(B, k4_card_1(A)))  => v1_xboole_0(k1_card_fin(A, B, C, D))) ) ) ) ) ) ) ).
fof(t11_card_fin, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (! [C] :  ( ~ (B=C)  => k4_card_1(k1_card_fin(A, k5_numbers, B, C))=1) ) ) ) ) ).
fof(t12_card_fin, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (! [C] : k4_card_1(k1_card_fin(A, k4_card_1(A), B, C))=1) ) ) ) ).
fof(t15_card_fin, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (! [D] :  (! [E] :  ~ ( ( ~ (D=E)  &  ( ~ (r2_hidden(C, A))  &  ~ (k4_card_1(k1_card_fin(k2_xboole_0(A, k1_tarski(C)), k1_nat_1(B, 1), D, E))=k1_nat_1(k4_card_1(k1_card_fin(A, k1_nat_1(B, 1), D, E)), k4_card_1(k1_card_fin(A, B, D, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_card_fin, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (! [D] :  ( ~ (C=D)  => k4_card_1(k1_card_fin(A, B, C, D))=k4_newton(B, k4_card_1(A))) ) ) ) ) ) ) ).
fof(t17_card_fin, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (v1_finset_1(B) =>  (! [C] :  (! [D] :  ( ~ (C=D)  => r2_tarski(k1_funct_4(k7_funcop_1(B, D), k7_funcop_1(A, C)), k1_card_fin(k2_xboole_0(A, B), k4_card_1(A), C, D))) ) ) ) ) ) ) ).
fof(t18_card_fin, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_finset_1(C) =>  (! [D] :  (v1_finset_1(D) =>  (r1_xboole_0(C, D) =>  (A=B | r2_tarski(k1_funct_4(k7_funcop_1(C, A), k7_funcop_1(D, B)), k1_card_fin(k2_xboole_0(C, D), k4_card_1(C), A, B))) ) ) ) ) ) ) ) ).
fof(d2_card_fin, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_tarski(k10_xtuple_0(A)))) =>  (D=k2_card_fin(A, B, C) <=>  (! [E] :  (r2_tarski(E, D) <=>  (r2_tarski(E, k3_tarski(k10_xtuple_0(A))) &  (! [F] :  ( (r2_tarski(F, k9_xtuple_0(B)) & k1_funct_1(B, F)=C)  => r2_tarski(E, k1_funct_1(A, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_card_fin, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( ~ (v1_xboole_0(k3_xboole_0(k9_xtuple_0(C), k8_relat_1(D, k1_tarski(A)))))  =>  (r2_tarski(B, k2_card_fin(C, D, A)) <=>  (! [E] :  ( (r2_tarski(E, k9_xtuple_0(D)) & k1_funct_1(D, E)=A)  => r2_tarski(B, k1_funct_1(C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t20_card_fin, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( ~ (v1_xboole_0(k2_card_fin(B, C, A)))  => r1_tarski(k8_relat_1(C, k1_tarski(A)), k9_xtuple_0(B))) ) ) ) ) ) ).
fof(t21_card_fin, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( ~ (v1_xboole_0(k2_card_fin(B, C, A)))  =>  (! [D] :  (! [E] :  ~ ( (r2_tarski(D, k8_relat_1(C, k1_tarski(A))) &  (r2_tarski(E, k8_relat_1(C, k1_tarski(A))) & r1_xboole_0(k1_funct_1(B, D), k1_funct_1(B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_card_fin, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ~ ( (r2_tarski(B, k2_card_fin(C, D, A)) &  (r2_tarski(A, k10_xtuple_0(D)) &  (! [E] :  ~ ( (r2_tarski(E, k9_xtuple_0(D)) &  (k1_funct_1(D, E)=A & r2_tarski(B, k1_funct_1(C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_card_fin, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (v1_xboole_0(B) | v1_xboole_0(k3_tarski(k10_xtuple_0(B))))  => k2_card_fin(B, C, A)=k3_tarski(k10_xtuple_0(B))) ) ) ) ) ) ).
fof(t24_card_fin, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (k5_relat_1(A, k8_relat_1(B, k1_tarski(C)))=k7_funcop_1(k8_relat_1(B, k1_tarski(C)), k3_tarski(k10_xtuple_0(A))) => k2_card_fin(A, B, C)=k3_tarski(k10_xtuple_0(A))) ) ) ) ) ) ).
fof(t25_card_fin, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (k2_card_fin(B, C, A)=k3_tarski(k10_xtuple_0(B)) =>  (v1_xboole_0(k3_tarski(k10_xtuple_0(B))) | k5_relat_1(B, k8_relat_1(C, k1_tarski(A)))=k7_funcop_1(k8_relat_1(C, k1_tarski(A)), k3_tarski(k10_xtuple_0(B)))) ) ) ) ) ) ) ).
fof(t26_card_fin, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] : k2_card_fin(A, k1_xboole_0, B)=k3_tarski(k10_xtuple_0(A))) ) ) ).
fof(t27_card_fin, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] : r1_tarski(k2_card_fin(B, C, D), k2_card_fin(B, k5_relat_1(C, A), D))) ) ) ) ) ) ).
fof(t28_card_fin, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (k8_relat_1(D, k1_tarski(A))=k8_relat_1(k5_relat_1(D, B), k1_tarski(A)) => k2_card_fin(C, D, A)=k2_card_fin(C, k5_relat_1(D, B), A)) ) ) ) ) ) ) ).
fof(t29_card_fin, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  => r1_tarski(k2_card_fin(k5_relat_1(C, B), D, A), k2_card_fin(C, D, A))) ) ) ) ) ) ).
fof(t30_card_fin, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (r2_tarski(A, k10_xtuple_0(D)) & r1_tarski(k8_relat_1(D, k1_tarski(A)), B))  => k2_card_fin(k5_relat_1(C, B), D, A)=k2_card_fin(C, D, A)) ) ) ) ) ) ) ).
fof(t31_card_fin, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (! [D] :  (r2_hidden(C, k8_relat_1(B, k1_tarski(D))) => r1_tarski(k2_card_fin(A, B, D), k1_funct_1(A, C))) ) ) ) ) ) ) ).
fof(t32_card_fin, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (! [D] :  (r2_hidden(C, k8_relat_1(B, k1_tarski(D))) => k8_subset_1(k3_tarski(k10_xtuple_0(A)), k2_card_fin(A, k5_relat_1(B, k6_subset_1(k9_xtuple_0(B), k1_tarski(C))), D), k1_funct_1(A, C))=k2_card_fin(A, B, D)) ) ) ) ) ) ) ).
fof(t33_card_fin, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (k8_relat_1(D, k1_tarski(B))=k8_relat_1(E, k1_tarski(C)) => k2_card_fin(A, D, B)=k2_card_fin(A, E, C)) ) ) ) ) ) ) ) ) ).
fof(t34_card_fin, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (k8_relat_1(B, k1_tarski(C))=k1_xboole_0 => k2_card_fin(A, B, C)=k3_tarski(k10_xtuple_0(A))) ) ) ) ) ) ).
fof(t35_card_fin, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (! [D] :  (k1_tarski(C)=k8_relat_1(B, k1_tarski(D)) => k2_card_fin(A, B, D)=k1_funct_1(A, C)) ) ) ) ) ) ) ).
fof(t36_card_fin, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (k2_tarski(A, B)=k8_relat_1(E, k1_tarski(C)) => k2_card_fin(D, E, C)=k3_xboole_0(k1_funct_1(D, A), k1_funct_1(D, B))) ) ) ) ) ) ) ) ).
fof(t37_card_fin, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( ~ (v1_xboole_0(C))  =>  (r2_tarski(B, k2_card_fin(C, k7_funcop_1(k9_xtuple_0(C), A), A)) <=>  (! [D] :  (r2_tarski(D, k9_xtuple_0(C)) => r2_tarski(B, k1_funct_1(C, D))) ) ) ) ) ) ) ) ).
fof(t38_card_fin, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v2_finset_1(C)) )  =>  (r2_tarski(A, k10_xtuple_0(B)) => v1_finset_1(k2_card_fin(C, B, A))) ) ) ) ) ) ).
fof(t39_card_fin, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finset_1(A)) )  =>  (v1_finset_1(k9_xtuple_0(A)) => v1_finset_1(k3_tarski(k10_xtuple_0(A)))) ) ) ).
fof(t40_card_fin, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(A, k1_card_fin(B, C, 1, k5_numbers)) <=>  (? [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, k4_ordinal1) &  (v5_ordinal1(D) &  (v1_funct_1(D) & v1_finset_1(D)) ) ) )  &  (D=A &  (k1_relset_1(k4_ordinal1, D)=B &  (r1_tarski(k2_relset_1(k4_ordinal1, D), k7_domain_1(k4_ordinal1, k5_numbers, 1)) & k7_afinsq_2(D)=C) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_card_fin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v2_finset_1(B)) )  =>  (v1_finset_1(k9_xtuple_0(B)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (C=k3_card_fin(A, B) <=>  (! [D] :  (! [E] :  (! [F] :  (v1_finset_1(F) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k4_card_1(k1_card_fin(F, A, D, E)), k1_card_fin(F, A, D, E)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_card_1(k1_card_fin(F, A, D, E)), k1_card_fin(F, A, D, E))))) )  =>  ~ ( (k9_xtuple_0(B)=F &  (v2_funct_1(G) &  ( ~ (D=E)  &  (! [H] :  ( (v1_relat_1(H) &  (v5_relat_1(H, k4_ordinal1) &  (v5_ordinal1(H) &  (v1_funct_1(H) & v1_finset_1(H)) ) ) )  =>  ~ ( (k1_relset_1(k4_ordinal1, H)=k1_relset_1(k4_card_1(k1_card_fin(F, A, D, E)), G) &  ( (! [I] :  (! [J] :  ( (v1_relat_1(J) & v1_funct_1(J))  =>  ( (r2_tarski(I, k1_relset_1(k4_ordinal1, H)) & J=k1_funct_1(G, I))  => k1_recdef_1(H, I)=k1_card_1(k2_card_fin(B, J, D))) ) ) )  & C=k7_afinsq_2(H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_card_fin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v2_finset_1(B)) )  =>  (! [C] :  (! [D] :  (! [E] :  (v1_finset_1(E) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_card_1(k1_card_fin(E, A, C, D)), k1_card_fin(E, A, C, D)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_card_1(k1_card_fin(E, A, C, D)), k1_card_fin(E, A, C, D))))) )  =>  ( (k9_xtuple_0(B)=E & v2_funct_1(F))  =>  (C=D |  (! [G] :  ( (v1_relat_1(G) &  (v5_relat_1(G, k4_ordinal1) &  (v5_ordinal1(G) &  (v1_funct_1(G) & v1_finset_1(G)) ) ) )  =>  ( (k1_relset_1(k4_ordinal1, G)=k1_relset_1(k4_card_1(k1_card_fin(E, A, C, D)), F) &  (! [H] :  (! [I] :  ( (v1_relat_1(I) & v1_funct_1(I))  =>  ( (r2_tarski(H, k1_relset_1(k4_ordinal1, G)) & I=k1_funct_1(F, H))  => k1_recdef_1(G, H)=k1_card_1(k2_card_fin(B, I, C))) ) ) ) )  => k3_card_fin(A, B)=k7_afinsq_2(G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_card_fin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v2_finset_1(B)) )  =>  ( (v1_finset_1(k9_xtuple_0(B)) & A=k5_numbers)  => k3_card_fin(A, B)=k1_card_1(k3_tarski(k10_xtuple_0(B)))) ) ) ) ) ).
fof(t43_card_fin, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v2_finset_1(C)) )  =>  (k9_xtuple_0(C)=A =>  (r1_xxreal_0(B, k4_card_1(A)) | k3_card_fin(B, C)=k5_numbers) ) ) ) ) ) ) ) ).
fof(t44_card_fin, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finset_1(A)) )  =>  (! [B] :  (v1_finset_1(B) =>  (k9_xtuple_0(A)=B =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_card_1(B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_card_1(B), B)))) )  =>  ~ ( (v2_funct_1(C) &  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, k4_ordinal1) &  (v5_ordinal1(D) &  (v1_funct_1(D) & v1_finset_1(D)) ) ) )  =>  ~ ( (k1_relset_1(k4_ordinal1, D)=k4_card_1(B) &  ( (! [E] :  (r2_tarski(E, k1_relset_1(k4_ordinal1, D)) => k1_recdef_1(D, E)=k4_card_1(k1_funct_1(k3_relat_1(C, A), E))) )  & k3_card_fin(1, A)=k7_afinsq_2(D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_card_fin, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v2_finset_1(B)) )  =>  (! [C] :  (k9_xtuple_0(B)=A => k3_card_fin(k4_card_1(A), B)=k1_card_1(k2_card_fin(B, k7_funcop_1(A, C), C))) ) ) ) ) ) ).
fof(t46_card_fin, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v2_finset_1(B)) )  =>  (! [C] :  (B=k17_funcop_1(C, A) => k3_card_fin(1, B)=k4_card_1(A)) ) ) ) ) ) ).
fof(t47_card_fin, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_finset_1(C) =>  (! [D] :  (v1_finset_1(D) =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v2_finset_1(E)) )  =>  (E=k6_funct_4(A, B, C, D) =>  (A=B |  (k3_card_fin(1, E)=k1_nat_1(k4_card_1(C), k4_card_1(D)) & k3_card_fin(2, E)=k4_card_1(k3_xboole_0(C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_card_fin, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finset_1(A)) )  =>  (! [B] :  ( (v1_finset_1(k9_xtuple_0(A)) & r2_tarski(B, k9_xtuple_0(A)))  => k3_card_fin(1, A)=k1_nat_1(k3_card_fin(1, k5_relat_1(A, k6_subset_1(k9_xtuple_0(A), k1_tarski(B)))), k4_card_1(k1_funct_1(A, B)))) ) ) ) ).
fof(t49_card_fin, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (k9_xtuple_0(k1_yellow20(B, k7_funcop_1(k9_xtuple_0(B), A)))=k9_xtuple_0(B) &  (! [C] :  (r2_tarski(C, k9_xtuple_0(B)) => k1_funct_1(k1_yellow20(B, k7_funcop_1(k9_xtuple_0(B), A)), C)=k3_xboole_0(k1_funct_1(B, C), A)) ) ) ) ) ) ).
fof(t50_card_fin, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => k3_xboole_0(k3_tarski(k10_xtuple_0(B)), A)=k3_tarski(k10_xtuple_0(k1_yellow20(B, k7_funcop_1(k9_xtuple_0(B), A))))) ) ) ).
fof(t51_card_fin, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  => k8_subset_1(k3_tarski(k10_xtuple_0(C)), k2_card_fin(C, D, A), B)=k2_card_fin(k1_yellow20(C, k7_funcop_1(k9_xtuple_0(C), B)), D, A)) ) ) ) ) ) ).
fof(t52_card_fin, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  ( (v2_funct_1(A) &  (v2_funct_1(B) & r1_xboole_0(k10_xtuple_0(A), k10_xtuple_0(B))) )  => v2_funct_1(k1_ordinal4(A, B))) ) ) ) ) ).
fof(t53_card_fin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v2_finset_1(B)) )  =>  (! [C] :  (v1_finset_1(C) =>  (! [D] :  (! [E] :  (v7_ordinal1(E) =>  ( (k9_xtuple_0(B)=C & r2_tarski(D, k9_xtuple_0(B)))  =>  (r1_xxreal_0(A, k5_numbers) | k3_card_fin(k1_nat_1(A, 1), B)=k1_nat_1(k3_card_fin(k1_nat_1(A, 1), k5_relat_1(B, k6_subset_1(k9_xtuple_0(B), k1_tarski(D)))), k3_card_fin(A, k1_yellow20(k5_relat_1(B, k6_subset_1(k9_xtuple_0(B), k1_tarski(D))), k7_funcop_1(k6_subset_1(k9_xtuple_0(B), k1_tarski(D)), k1_funct_1(B, D)))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_card_fin, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_tarski(A, k9_xtuple_0(B)) => k3_tarski(k10_xtuple_0(B))=k2_xboole_0(k3_tarski(k10_xtuple_0(k5_relat_1(B, k6_subset_1(k9_xtuple_0(B), k1_tarski(A))))), k1_funct_1(B, A))) ) ) ) ).
fof(t55_card_fin, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finset_1(A)) )  =>  (! [B] :  (v1_finset_1(B) =>  (? [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k4_numbers) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) )  &  (k1_relset_1(k4_ordinal1, C)=k4_card_1(B) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k1_relset_1(k4_ordinal1, C)) => k1_funct_1(C, D)=k3_xcmplx_0(k1_newton(k4_xcmplx_0(1), D), k3_card_fin(k1_nat_1(D, 1), A))) ) ) ) ) ) ) ) ) ) ).
fof(t56_card_fin, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finset_1(A)) )  =>  (! [B] :  (v1_finset_1(B) =>  (k9_xtuple_0(A)=B =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k4_numbers) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) )  =>  ( (k1_relset_1(k4_ordinal1, C)=k4_card_1(B) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k1_relset_1(k4_ordinal1, C)) => k1_funct_1(C, D)=k3_xcmplx_0(k1_newton(k4_xcmplx_0(1), D), k3_card_fin(k1_nat_1(D, 1), A))) ) ) )  => k1_card_1(k3_tarski(k10_xtuple_0(A)))=k7_afinsq_2(C)) ) ) ) ) ) ) ) ).
fof(t57_card_fin, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finset_1(A)) )  =>  (! [B] :  (v1_finset_1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (k9_xtuple_0(A)=B =>  ( (! [E] :  (! [F] :  ~ ( ( ~ (E=F)  &  (! [G] :  ( (v1_relat_1(G) & v1_funct_1(G))  =>  (r2_tarski(G, k1_card_fin(B, D, E, F)) => k1_card_1(k2_card_fin(A, G, E))=C) ) ) ) ) ) )  | k3_card_fin(D, A)=k3_xcmplx_0(C, k4_newton(D, k4_card_1(B)))) ) ) ) ) ) ) ) ) ) ).
fof(t58_card_fin, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finset_1(A)) )  =>  (! [B] :  (v1_finset_1(B) =>  (k9_xtuple_0(A)=B =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k4_ordinal1) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) )  =>  ~ ( (k1_relset_1(k4_ordinal1, C)=k4_card_1(B) &  ( (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(D, k1_relset_1(k4_ordinal1, C)) &  (! [E] :  (! [F] :  ~ ( ( ~ (E=F)  &  (! [G] :  ( (v1_relat_1(G) & v1_funct_1(G))  =>  (r2_tarski(G, k1_card_fin(B, k1_nat_1(D, 1), E, F)) => k1_card_1(k2_card_fin(A, G, E))=k1_recdef_1(C, D)) ) ) ) ) ) ) ) ) ) )  &  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, k4_numbers) &  (v5_ordinal1(D) &  (v1_funct_1(D) & v1_finset_1(D)) ) ) )  =>  ~ ( (k1_relset_1(k4_ordinal1, D)=k4_card_1(B) &  (k1_card_1(k3_tarski(k10_xtuple_0(A)))=k7_afinsq_2(D) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k1_relset_1(k4_ordinal1, D)) => k1_funct_1(D, E)=k3_xcmplx_0(k3_xcmplx_0(k1_newton(k4_xcmplx_0(1), E), k1_recdef_1(C, E)), k4_newton(k1_nat_1(E, 1), k4_card_1(B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_card_fin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(B, A) &  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k4_numbers) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) )  =>  ~ ( (k3_stirl2_1(A, B)=k3_xcmplx_0(k7_xcmplx_0(1, k7_newton(B)), k7_afinsq_2(C)) &  (k1_relset_1(k4_ordinal1, C)=k1_nat_1(B, 1) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k1_relset_1(k4_ordinal1, C)) => k1_funct_1(C, D)=k3_xcmplx_0(k3_xcmplx_0(k1_newton(k4_xcmplx_0(1), D), k4_newton(D, B)), k1_newton(k6_xcmplx_0(B, D), A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_card_fin, axiom,  (! [A, B, C, D] :  ( (v1_finset_1(A) & v7_ordinal1(B))  => m1_subset_1(k1_card_fin(A, B, C, D), k1_zfmisc_1(k9_funct_2(A, k2_tarski(C, D))))) ) ).
fof(dt_k2_card_fin, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  => m1_subset_1(k2_card_fin(A, B, C), k1_zfmisc_1(k3_tarski(k10_xtuple_0(A))))) ) ).
fof(dt_k3_card_fin, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_relat_1(B) &  (v1_funct_1(B) & v2_finset_1(B)) ) )  => m1_subset_1(k3_card_fin(A, B), k4_ordinal1)) ) ).
fof(t2_card_fin, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (v1_finset_1(B) =>  (! [C] :  (! [D] :  ~ ( ( (B=k1_xboole_0 => A=k1_xboole_0)  &  ( ~ (r2_tarski(C, A))  &  ~ (k4_card_1(k1_funct_2(A, B))=k1_card_1(a_4_0_card_fin(A, B, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t3_card_fin, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (v1_finset_1(B) =>  (! [C] :  (! [D] :  (r2_tarski(D, B) =>  (r2_tarski(C, A) | k4_card_1(k1_funct_2(A, B))=k1_card_1(a_4_1_card_fin(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t5_card_fin, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (v1_finset_1(B) =>  (! [C] :  (! [D] :  ~ ( ( (v1_xboole_0(B) => v1_xboole_0(A))  &  ( ~ (r2_tarski(C, A))  &  ( ~ (r2_tarski(D, B))  &  ~ (k1_card_1(a_2_0_card_fin(A, B))=k1_card_1(a_4_2_card_fin(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_card_fin, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (v1_finset_1(B) =>  (r1_xxreal_0(k4_card_1(A), k4_card_1(B)) => k1_card_1(a_2_0_card_fin(A, B))=k7_xcmplx_0(k7_newton(k4_card_1(B)), k7_newton(k7_nat_d(k4_card_1(B), k4_card_1(A))))) ) ) ) ) ).
fof(t8_card_fin, axiom,  (! [A] :  (v1_finset_1(A) => k1_card_1(a_1_0_card_fin(A))=k7_newton(k4_card_1(A))) ) ).
fof(t13_card_fin, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (! [D] :  (! [E] :  ( ~ (r2_hidden(C, A))  => k4_card_1(k1_card_fin(A, B, D, E))=k1_card_1(a_5_0_card_fin(A, B, C, D, E))) ) ) ) ) ) ) ) ).
fof(t14_card_fin, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (! [D] :  (! [E] :  ~ ( ( ~ (r2_hidden(C, A))  &  ( ~ (D=E)  &  ~ (k4_card_1(k1_card_fin(A, B, D, E))=k1_card_1(a_5_1_card_fin(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_card_fin, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (v1_finset_1(B) =>  ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k4_numbers) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) )  =>  ~ ( (k1_relset_1(k4_ordinal1, C)=k1_nat_1(k4_card_1(B), 1) &  (k7_afinsq_2(C)=k1_card_1(a_2_1_card_fin(A, B)) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k1_relset_1(k4_ordinal1, C)) => k1_funct_1(C, D)=k3_xcmplx_0(k3_xcmplx_0(k1_newton(k4_xcmplx_0(1), D), k4_newton(D, k4_card_1(B))), k1_newton(k6_xcmplx_0(k4_card_1(B), D), k4_card_1(A)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_card_fin, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (v1_finset_1(B) =>  (! [C] :  (v1_finset_1(C) =>  (r1_tarski(C, A) =>  ( (v1_xboole_0(B) &  ~ (v1_xboole_0(A)) )  |  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ( (v2_funct_1(D) & k4_card_1(A)=k4_card_1(B))  => k7_newton(k7_nat_d(k4_card_1(A), k4_card_1(C)))=k1_card_1(a_4_3_card_fin(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_card_fin, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ~ ( (k9_xtuple_0(B)=A &  (v2_funct_1(B) &  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k4_numbers) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) )  =>  ~ ( (k7_afinsq_2(C)=k1_card_1(a_2_2_card_fin(A, B)) &  (k1_relset_1(k4_ordinal1, C)=k1_nat_1(k4_card_1(A), 1) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k1_relset_1(k4_ordinal1, C)) => k1_funct_1(C, D)=k7_xcmplx_0(k3_xcmplx_0(k1_newton(k4_xcmplx_0(1), D), k7_newton(k4_card_1(A))), k7_newton(D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_card_fin, axiom,  (! [A] :  (v1_finset_1(A) =>  (? [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k4_numbers) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  &  (k7_afinsq_2(B)=k1_card_1(a_1_1_card_fin(A)) &  (k1_relset_1(k4_ordinal1, B)=k1_nat_1(k4_card_1(A), 1) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k1_relset_1(k4_ordinal1, B)) => k1_funct_1(B, C)=k7_xcmplx_0(k3_xcmplx_0(k1_newton(k4_xcmplx_0(1), C), k7_newton(k4_card_1(A))), k7_newton(C))) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_card_fin, axiom,  (! [A, B, C, D, E] :  ( (v1_finset_1(B) & v1_finset_1(C))  =>  (r2_hidden(A, a_4_0_card_fin(B, C, D, E)) <=>  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_xboole_0(B, k1_tarski(D)), k2_xboole_0(C, k1_tarski(E))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(B, k1_tarski(D)), k2_xboole_0(C, k1_tarski(E)))))) )  &  (A=F &  (r1_tarski(k2_relset_1(k2_xboole_0(C, k1_tarski(E)), k2_partfun1(k2_xboole_0(B, k1_tarski(D)), k2_xboole_0(C, k1_tarski(E)), F, B)), C) & k1_funct_1(F, D)=E) ) ) ) ) ) ) ).
fof(fraenkel_a_4_1_card_fin, axiom,  (! [A, B, C, D, E] :  ( (v1_finset_1(B) & v1_finset_1(C))  =>  (r2_hidden(A, a_4_1_card_fin(B, C, D, E)) <=>  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_xboole_0(B, k1_tarski(D)), C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(B, k1_tarski(D)), C)))) )  &  (A=F & k1_funct_1(F, D)=E) ) ) ) ) ) ).
fof(fraenkel_a_2_0_card_fin, axiom,  (! [A, B, C] :  ( (v1_finset_1(B) & v1_finset_1(C))  =>  (r2_hidden(A, a_2_0_card_fin(B, C)) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  &  (A=D & v2_funct_1(D)) ) ) ) ) ) ).
fof(fraenkel_a_4_2_card_fin, axiom,  (! [A, B, C, D, E] :  ( (v1_finset_1(B) & v1_finset_1(C))  =>  (r2_hidden(A, a_4_2_card_fin(B, C, D, E)) <=>  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_xboole_0(B, k1_tarski(D)), k2_xboole_0(C, k1_tarski(E))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(B, k1_tarski(D)), k2_xboole_0(C, k1_tarski(E)))))) )  &  (A=F &  (v2_funct_1(F) & k1_funct_1(F, D)=E) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_card_fin, axiom,  (! [A, B] :  (v1_finset_1(B) =>  (r2_hidden(A, a_1_0_card_fin(B)) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B)))) )  &  (A=C &  (v1_funct_1(C) &  (v1_funct_2(C, B, B) &  (v3_funct_2(C, B, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_5_0_card_fin, axiom,  (! [A, B, C, D, E, F] :  ( (v1_finset_1(B) & v7_ordinal1(C))  =>  (r2_hidden(A, a_5_0_card_fin(B, C, D, E, F)) <=>  (? [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_xboole_0(B, k1_tarski(D)), k2_tarski(E, F)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(B, k1_tarski(D)), k2_tarski(E, F))))) )  &  (A=G &  (k4_card_1(k8_relset_1(k2_xboole_0(B, k1_tarski(D)), k2_tarski(E, F), G, k1_tarski(E)))=k1_nat_1(C, 1) & k1_funct_1(G, D)=E) ) ) ) ) ) ) ).
fof(fraenkel_a_5_1_card_fin, axiom,  (! [A, B, C, D, E, F] :  ( (v1_finset_1(B) & v7_ordinal1(C))  =>  (r2_hidden(A, a_5_1_card_fin(B, C, D, E, F)) <=>  (? [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_xboole_0(B, k1_tarski(D)), k2_tarski(E, F)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(B, k1_tarski(D)), k2_tarski(E, F))))) )  &  (A=G &  (k4_card_1(k8_relset_1(k2_xboole_0(B, k1_tarski(D)), k2_tarski(E, F), G, k1_tarski(E)))=C & k1_funct_1(G, D)=F) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_card_fin, axiom,  (! [A, B, C] :  ( (v1_finset_1(B) & v1_finset_1(C))  =>  (r2_hidden(A, a_2_1_card_fin(B, C)) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  &  (A=D & v2_funct_2(D, C)) ) ) ) ) ) ).
fof(fraenkel_a_4_3_card_fin, axiom,  (! [A, B, C, D, E] :  ( (v1_finset_1(B) &  (v1_finset_1(C) &  (v1_finset_1(D) &  (v1_funct_1(E) &  (v1_funct_2(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C)))) ) ) ) )  =>  (r2_hidden(A, a_4_3_card_fin(B, C, D, E)) <=>  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, B, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  &  (A=F &  (v2_funct_1(F) &  (r1_tarski(k2_relset_1(C, k2_partfun1(B, C, F, k6_subset_1(B, D))), k7_relset_1(B, C, E, k6_subset_1(B, D))) &  (! [G] :  (r2_tarski(G, D) => k1_funct_1(F, G)=k1_funct_1(E, G)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_2_card_fin, axiom,  (! [A, B, C] :  ( (v1_finset_1(B) &  (v1_relat_1(C) & v1_funct_1(C)) )  =>  (r2_hidden(A, a_2_2_card_fin(B, C)) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k10_xtuple_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k10_xtuple_0(C))))) )  &  (A=D &  (v2_funct_1(D) &  (! [E] :  ~ ( (r2_tarski(E, B) & k1_funct_1(D, E)=k1_funct_1(C, E)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_1_card_fin, axiom,  (! [A, B] :  (v1_finset_1(B) =>  (r2_hidden(A, a_1_1_card_fin(B)) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B)))) )  &  (A=C &  (v2_funct_1(C) &  (! [D] :  ~ ( (r2_tarski(D, B) & k1_funct_1(C, D)=D) ) ) ) ) ) ) ) ) ) ).
fof(cc1_card_lar, axiom,  (! [A] :  ( (v3_ordinal1(A) &  ( ~ (v1_finset_1(A))  & v1_card_1(A)) )  =>  (v3_ordinal1(A) & v4_ordinal1(A)) ) ) ).
fof(cc2_card_lar, axiom,  (! [A] :  ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_xboole_0(A)) ) )  =>  (v3_ordinal1(A) &  ~ (v1_finset_1(A)) ) ) ) ).
fof(cc3_card_lar, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ~ (v2_card_1(A)) ) )  =>  ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ~ (v4_card_3(A)) ) ) ) ) ).
fof(rc1_card_lar, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v4_ordinal1(A) &  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ( ~ (v4_card_3(A))  & v1_card_5(A)) ) ) ) ) ) ) ) ) ).
fof(rc2_card_lar, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ~ (v4_card_3(A)) ) )  =>  (? [B] :  (m1_subset_1(B, A) &  (v1_ordinal1(B) &  (v2_ordinal1(B) &  (v3_ordinal1(B) &  ( ~ (v1_finset_1(B))  & v1_card_1(B)) ) ) ) ) ) ) ) ).
fof(fc1_card_lar, axiom,  (! [A] :  ( (v3_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  ~ (v1_xboole_0(k4_classes1(A))) ) ) ).
fof(d1_card_lar, axiom,  (! [A] :  ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_finset_1(A)) ) )  =>  (! [B] :  (r1_card_lar(A, B) <=>  (r1_tarski(B, A) & k3_ordinal2(B)=A) ) ) ) ) ).
fof(d2_card_lar, axiom,  (! [A] :  ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_finset_1(A)) ) )  =>  (! [B] :  (r2_card_lar(A, B) <=>  (r1_tarski(B, A) &  (! [C] :  ( (v3_ordinal1(C) &  (v4_ordinal1(C) &  ~ (v1_finset_1(C)) ) )  =>  ( (r2_tarski(C, A) & k3_ordinal2(k3_xboole_0(B, C))=C)  => r2_tarski(C, B)) ) ) ) ) ) ) ) ).
fof(d3_card_lar, axiom,  (! [A] :  ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_finset_1(A)) ) )  =>  (! [B] :  (r3_card_lar(A, B) <=>  (r2_card_lar(A, B) & r1_card_lar(A, B)) ) ) ) ) ).
fof(d4_card_lar, axiom,  (! [A] :  ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_finset_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (v1_card_lar(B, A) <=> k3_ordinal2(B)=A) ) ) ) ) ).
fof(d5_card_lar, axiom,  (! [A] :  ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_finset_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (v2_card_lar(B, A) <=>  (! [C] :  ( (v3_ordinal1(C) &  (v4_ordinal1(C) &  ~ (v1_finset_1(C)) ) )  =>  ( (r2_tarski(C, A) & k3_ordinal2(k8_subset_1(A, B, C))=C)  => r2_tarski(C, B)) ) ) ) ) ) ) ) ).
fof(t1_card_lar, axiom,  (! [A] :  ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_finset_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (r3_card_lar(A, B) <=>  (v2_card_lar(B, A) & v1_card_lar(B, A)) ) ) ) ) ) ).
fof(t2_card_lar, axiom,  (! [A] :  ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_finset_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => r1_tarski(B, k3_ordinal2(B))) ) ) ) ).
fof(t3_card_lar, axiom,  (! [A] :  ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_finset_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  ( (! [C] :  (v3_ordinal1(C) =>  ~ ( (r2_tarski(C, B) &  (! [D] :  (v3_ordinal1(D) =>  ~ ( (r2_tarski(D, B) & r2_tarski(C, D)) ) ) ) ) ) ) )  =>  (v1_xboole_0(B) |  (v3_ordinal1(k3_ordinal2(B)) &  (v4_ordinal1(k3_ordinal2(B)) &  ~ (v1_finset_1(k3_ordinal2(B))) ) ) ) ) ) ) ) ) ).
fof(t4_card_lar, axiom,  (! [A] :  ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_finset_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  ( ~ ( ( ~ (v1_card_lar(B, A))  &  (! [C] :  (v3_ordinal1(C) =>  ~ ( (r2_tarski(C, A) & r1_tarski(B, C)) ) ) ) ) )  &  ~ ( ( (? [C] :  (v3_ordinal1(C) &  (r2_tarski(C, A) & r1_tarski(B, C)) ) )  & v1_card_lar(B, A)) ) ) ) ) ) ) ).
fof(t5_card_lar, axiom,  (! [A] :  ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_finset_1(A)) ) )  =>  (! [B] :  ( (v3_ordinal1(B) &  (v4_ordinal1(B) &  ~ (v1_finset_1(B)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  ~ ( ( ~ (k3_ordinal2(k8_subset_1(A, C, B))=B)  &  (! [D] :  (v3_ordinal1(D) =>  ~ ( (r2_tarski(D, B) & r1_tarski(k8_subset_1(A, C, B), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_card_lar, axiom,  (! [A] :  ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_finset_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (v1_card_lar(B, A) <=>  (! [C] :  (v3_ordinal1(C) =>  ~ ( (r2_tarski(C, A) &  (! [D] :  (v3_ordinal1(D) =>  ~ ( (r2_tarski(D, B) & r1_ordinal1(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_card_lar, axiom,  (! [A] :  ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_finset_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  ~ ( (v1_card_lar(B, A) & v1_xboole_0(B)) ) ) ) ) ) ).
fof(t9_card_lar, axiom,  (! [A] :  ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_finset_1(A)) ) )  =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  ( (v1_card_lar(C, A) & r2_tarski(B, A))  =>  (r2_tarski(k1_card_lar(A, C, B), C) & r2_tarski(B, k1_card_lar(A, C, B))) ) ) ) ) ) ) ) ).
fof(t10_card_lar, axiom,  (! [A] :  ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_finset_1(A)) ) )  =>  (v2_card_lar(k2_subset_1(A), A) & v1_card_lar(k2_subset_1(A), A)) ) ) ).
fof(t11_card_lar, axiom,  (! [A] :  ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_finset_1(A)) ) )  =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  ( (r2_tarski(B, A) &  (v2_card_lar(C, A) & v1_card_lar(C, A)) )  =>  (v2_card_lar(k7_subset_1(A, C, B), A) & v1_card_lar(k7_subset_1(A, C, B), A)) ) ) ) ) ) ) ) ).
fof(t12_card_lar, axiom,  (! [A] :  ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_finset_1(A)) ) )  =>  (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(B, A) =>  (v2_card_lar(k6_subset_1(A, B), A) & v1_card_lar(k6_subset_1(A, B), A)) ) ) ) ) ) ).
fof(d7_card_lar, axiom,  (! [A] :  ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_finset_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (v3_card_lar(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  ~ ( (v2_card_lar(C, A) &  (v1_card_lar(C, A) & v1_xboole_0(k9_subset_1(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t13_card_lar, axiom,  (! [A] :  ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_finset_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  ( (v3_card_lar(B, A) & r1_tarski(B, C))  => v3_card_lar(C, A)) ) ) ) ) ) ) ).
fof(d8_card_lar, axiom,  (! [A] :  ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_finset_1(A)) ) )  =>  (! [B] :  (r4_card_lar(A, B) <=>  (r1_tarski(B, A) &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  ~ ( (v2_card_lar(C, A) &  (v1_card_lar(C, A) & v1_xboole_0(k9_subset_1(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t14_card_lar, axiom,  (! [A] :  ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_finset_1(A)) ) )  =>  (! [B] :  (! [C] :  ( (r4_card_lar(A, B) &  (r1_tarski(B, C) & r1_tarski(C, A)) )  => r4_card_lar(A, C)) ) ) ) ) ).
fof(t15_card_lar, axiom,  (! [A] :  ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_finset_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (v3_card_lar(B, A) => v1_card_lar(B, A)) ) ) ) ) ).
fof(t16_card_lar, axiom,  (! [A] :  ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_finset_1(A)) ) )  =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (r1_tarski(k8_subset_1(A, D, C), B) => r1_tarski(k9_subset_1(A, C, k2_card_lar(A, D)), k1_ordinal1(B))) ) ) ) ) ) ) ) ) ).
fof(t17_card_lar, axiom,  (! [A] :  ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_finset_1(A)) ) )  =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (r1_tarski(C, B) => r1_tarski(k2_card_lar(A, C), k1_ordinal1(B))) ) ) ) ) ) ) ).
fof(t18_card_lar, axiom,  (! [A] :  ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_finset_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v2_card_lar(k2_card_lar(A, B), A)) ) ) ) ).
fof(t20_card_lar, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v1_card_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (v1_card_lar(B, A) => r1_ordinal1(k1_card_5(A), k1_card_1(B))) ) ) ) ) ).
fof(t21_card_lar, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ~ (v4_card_3(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  ( (! [C] :  (m1_card_lar(C, A, B) => v2_card_lar(C, A)) )  => v2_card_lar(k6_setfam_1(A, B), A)) ) ) ) ) ).
fof(t22_card_lar, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ~ (v4_card_3(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (r2_tarski(k4_ordinal1, k1_card_5(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  => r2_tarski(k3_ordinal2(k10_xtuple_0(C)), A)) ) ) ) ) ) ) ).
fof(t23_card_lar, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ~ (v4_card_3(A)) ) )  =>  (r2_tarski(k4_ordinal1, k1_card_5(A)) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  ( (r2_tarski(k1_card_1(B), k1_card_5(A)) &  (! [C] :  (m1_card_lar(C, A, B) =>  (v2_card_lar(C, A) & v1_card_lar(C, A)) ) ) )  =>  (v2_card_lar(k6_setfam_1(A, B), A) & v1_card_lar(k6_setfam_1(A, B), A)) ) ) ) ) ) ) ).
fof(t24_card_lar, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ~ (v4_card_3(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  ( (r2_tarski(k4_ordinal1, k1_card_5(A)) & v1_card_lar(B, A))  =>  (! [C] :  (v3_ordinal1(C) =>  ~ ( (r2_tarski(C, A) &  (! [D] :  ( (v3_ordinal1(D) &  (v4_ordinal1(D) &  ~ (v1_finset_1(D)) ) )  =>  ~ ( (r2_tarski(D, A) &  (r2_tarski(C, D) & r2_tarski(D, k2_card_lar(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_card_lar, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ~ (v4_card_3(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  ( (r2_tarski(k4_ordinal1, k1_card_5(A)) & v1_card_lar(B, A))  => v1_card_lar(k2_card_lar(A, B), A)) ) ) ) ) ).
fof(t26_card_lar, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ~ (v4_card_3(A)) ) )  =>  (v5_card_lar(A) => v4_card_lar(A)) ) ) ).
fof(t27_card_lar, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ~ (v4_card_3(A)) ) )  =>  (v4_card_lar(A) => v1_card_5(A)) ) ) ).
fof(t28_card_lar, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ~ (v4_card_3(A)) ) )  =>  (v4_card_lar(A) => v2_card_1(A)) ) ) ).
fof(t29_card_lar, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ~ (v4_card_3(A)) ) )  =>  (v4_card_lar(A) => v4_card_fil(A)) ) ) ).
fof(t30_card_lar, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ~ (v4_card_3(A)) ) )  =>  (v5_card_lar(A) => v5_card_fil(A)) ) ) ).
fof(t31_card_lar, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ~ (v4_card_3(A)) ) )  =>  (v5_card_lar(A) => v6_card_fil(A)) ) ) ).
fof(t32_card_lar, axiom,  (! [A] :  ( (! [B] :  ~ ( (r2_tarski(B, A) &  (! [C] :  ~ ( (r2_tarski(C, A) &  (r1_tarski(B, C) & v1_card_1(C)) ) ) ) ) ) )  => v1_card_1(k3_tarski(A))) ) ).
fof(t33_card_lar, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_finset_1(B))  & v1_card_1(B))  =>  ( (r2_tarski(k1_card_1(A), k1_card_5(B)) &  (! [C] :  (r2_tarski(C, A) => r2_tarski(k1_card_1(C), B)) ) )  => r2_tarski(k1_card_1(k3_tarski(A)), B)) ) ) ) ).
fof(t34_card_lar, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ~ (v4_card_3(A)) ) )  =>  (! [B] :  (v3_ordinal1(B) =>  ( (v6_card_fil(A) & r2_tarski(B, A))  => r2_tarski(k1_card_1(k4_classes1(B)), A)) ) ) ) ) ).
fof(t35_card_lar, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ~ (v4_card_3(A)) ) )  =>  (v6_card_fil(A) => k1_card_1(k4_classes1(A))=A) ) ) ).
fof(t36_card_lar, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ~ (v4_card_3(A)) ) )  =>  (v6_card_fil(A) => v2_classes1(k4_classes1(A))) ) ) ).
fof(t37_card_lar, axiom,  (! [A] :  ( (v3_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  ~ (v1_xboole_0(k4_classes1(A))) ) ) ).
fof(t38_card_lar, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ~ (v4_card_3(A)) ) )  =>  (v6_card_fil(A) =>  ( ~ (v1_xboole_0(k4_classes1(A)))  & v1_classes2(k4_classes1(A))) ) ) ) ).
fof(dt_k1_card_lar, axiom,  (! [A, B, C] :  ( ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_finset_1(A)) ) )  &  (m1_subset_1(B, k1_zfmisc_1(A)) & v3_ordinal1(C)) )  => m1_subset_1(k1_card_lar(A, B, C), B)) ) ).
fof(dt_m1_card_lar, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [C] :  (m1_card_lar(C, A, B) => m1_subset_1(C, k1_zfmisc_1(A))) ) ) ) ).
fof(existence_m1_card_lar, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (? [C] : m1_card_lar(C, A, B)) ) ) ).
fof(redefinition_m1_card_lar, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [C] :  (m1_card_lar(C, A, B) <=> m1_subset_1(C, B)) ) ) ) ).
fof(dt_k2_card_lar, axiom,  (! [A, B] :  ( ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_finset_1(A)) ) )  & m1_subset_1(B, k1_zfmisc_1(A)))  => m1_subset_1(k2_card_lar(A, B), k1_zfmisc_1(A))) ) ).
fof(t8_card_lar, axiom,  (! [A] :  ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_finset_1(A)) ) )  =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  ~ ( (v1_card_lar(C, A) &  (r2_tarski(B, A) &  (! [D] :  (m1_subset_1(D, A) =>  ~ (r2_tarski(D, a_3_0_card_lar(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_card_lar, axiom,  (! [A] :  ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_finset_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (v3_ordinal1(C) =>  ( (v1_card_lar(B, A) & r2_tarski(C, A))  => k1_card_lar(A, B, C)=k2_ordinal2(a_3_1_card_lar(A, B, C))) ) ) ) ) ) ) ).
fof(d9_card_lar, axiom,  (! [A] :  ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_finset_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k2_card_lar(A, B)=a_2_0_card_lar(A, B)) ) ) ) ).
fof(t19_card_lar, axiom,  (! [A] :  ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_finset_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  ~ ( (v1_card_lar(B, A) &  ( ~ (v1_card_lar(k2_card_lar(A, B), A))  &  (! [C] :  (v3_ordinal1(C) =>  ~ ( (r2_tarski(C, A) & r3_card_lar(A, a_3_2_card_lar(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_card_lar, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ~ (v4_card_3(A)) ) )  =>  (v4_card_lar(A) <=> r4_card_lar(A, a_1_0_card_lar(A))) ) ) ).
fof(d11_card_lar, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ~ (v4_card_3(A)) ) )  =>  (v5_card_lar(A) <=> r4_card_lar(A, a_1_1_card_lar(A))) ) ) ).
fof(fraenkel_a_3_0_card_lar, axiom,  (! [A, B, C, D] :  ( ( (v3_ordinal1(B) &  (v4_ordinal1(B) &  ~ (v1_finset_1(B)) ) )  &  (v3_ordinal1(C) & m1_subset_1(D, k1_zfmisc_1(B))) )  =>  (r2_hidden(A, a_3_0_card_lar(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, B) &  (A=E &  (r2_tarski(E, D) & r2_tarski(C, E)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_card_lar, axiom,  (! [A, B, C, D] :  ( ( (v3_ordinal1(B) &  (v4_ordinal1(B) &  ~ (v1_finset_1(B)) ) )  &  (m1_subset_1(C, k1_zfmisc_1(B)) & v3_ordinal1(D)) )  =>  (r2_hidden(A, a_3_1_card_lar(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, B) &  (A=E &  (r2_tarski(E, C) & r2_tarski(D, E)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_card_lar, axiom,  (! [A, B, C] :  ( ( (v3_ordinal1(B) &  (v4_ordinal1(B) &  ~ (v1_finset_1(B)) ) )  & m1_subset_1(C, k1_zfmisc_1(B)))  =>  (r2_hidden(A, a_2_0_card_lar(B, C)) <=>  (? [D] :  (m1_subset_1(D, B) &  (A=D &  ( ~ (v1_finset_1(D))  &  (v4_ordinal1(D) & k3_ordinal2(k8_subset_1(B, C, D))=D) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_2_card_lar, axiom,  (! [A, B, C, D] :  ( ( (v3_ordinal1(B) &  (v4_ordinal1(B) &  ~ (v1_finset_1(B)) ) )  &  (m1_subset_1(C, k1_zfmisc_1(B)) & v3_ordinal1(D)) )  =>  (r2_hidden(A, a_3_2_card_lar(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, B) &  (A=k1_ordinal1(E) &  (r2_tarski(E, C) & r2_tarski(D, k1_ordinal1(E))) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_card_lar, axiom,  (! [A, B] :  ( ( ~ (v1_finset_1(B))  &  (v1_card_1(B) &  ~ (v4_card_3(B)) ) )  =>  (r2_hidden(A, a_1_0_card_lar(B)) <=>  (? [C] :  ( ( ~ (v1_finset_1(C))  &  (v1_card_1(C) & m1_subset_1(C, B)) )  &  (A=C & v1_card_5(C)) ) ) ) ) ) ).
fof(fraenkel_a_1_1_card_lar, axiom,  (! [A, B] :  ( ( ~ (v1_finset_1(B))  &  (v1_card_1(B) &  ~ (v4_card_3(B)) ) )  =>  (r2_hidden(A, a_1_1_card_lar(B)) <=>  (? [C] :  ( ( ~ (v1_finset_1(C))  &  (v1_card_1(C) & m1_subset_1(C, B)) )  &  (A=C & v6_card_fil(C)) ) ) ) ) ) ).
fof(rc1_cardfil2, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) &  ( ~ (v1_xboole_0(B))  & v2_finsub_1(B)) ) ) ) ).
fof(rc2_cardfil2, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) &  ( ~ (v1_xboole_0(B))  &  (v2_finsub_1(B) & v1_cardfil2(B, A)) ) ) ) ) ).
fof(rc3_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) &  ( ~ (v1_xboole_0(B))  &  (v1_setfam_1(B) &  (v2_finsub_1(B) & v1_cardfil2(B, A)) ) ) ) ) ) ) ).
fof(rc4_cardfil2, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v2_cardfil2(A)) ) ).
fof(cc1_cardfil2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v2_cardfil2(A))  =>  ( ~ (v1_xboole_0(A))  & v2_finsub_1(A)) ) ) ).
fof(cc2_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_card_fil(B, A) => v2_finsub_1(B)) ) ) ) ).
fof(rc5_cardfil2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_card_fil(B, A))  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) &  ( ~ (v1_xboole_0(C))  & v3_cardfil2(C, A, B)) ) ) ) ) ).
fof(rc6_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) &  ( ~ (v1_xboole_0(B))  & v4_cardfil2(B, A)) ) ) ) ) ).
fof(rc7_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) &  ( ~ (v1_xboole_0(B))  &  (v1_setfam_1(B) & v4_cardfil2(B, A)) ) ) ) ) ) ).
fof(fc1_cardfil2, axiom, v1_waybel_0(k2_struct_0(k11_dickson), k11_dickson)).
fof(fc2_cardfil2, axiom,  ( ~ (v2_struct_0(k11_dickson))  & v3_orders_2(k11_dickson)) ).
fof(fc3_cardfil2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v8_pre_topc(A) & l1_pre_topc(A)) ) )  & m1_card_fil(B, u1_struct_0(A)))  => v1_zfmisc_1(k14_cardfil2(A, B))) ) ).
fof(fc4_cardfil2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ( ~ (v2_struct_0(k21_cardfil2(A, B)))  & v6_waybel_0(k21_cardfil2(A, B), A)) ) ) ).
fof(d1_cardfil2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (v1_cardfil2(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  ( (r2_tarski(C, B) & r1_tarski(C, D))  => r2_tarski(D, B)) ) ) ) ) ) ) ) ) ).
fof(t1_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  ( ( ~ (v1_xboole_0(B))  &  (v1_setfam_1(B) &  (v2_finsub_1(B) &  (v1_cardfil2(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) )  <=> m1_card_fil(B, A)) ) ) ) ) ).
fof(d2_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v2_cardfil2(A) <=>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(A))) )  => r2_tarski(k1_setfam_1(B), A)) ) ) ) ) ).
fof(t3_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v2_cardfil2(A) => v2_finsub_1(A)) ) ) ).
fof(t4_cardfil2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  ( (v2_finsub_1(B) & r2_tarski(A, B))  <=> r1_tarski(k2_cantor_1(A, B), B)) ) ) ) ).
fof(t6_cardfil2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (B=k1_tarski(A) => v1_cardfil2(B, A)) ) ) ) ).
fof(t7_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_card_fil(B, A) =>  ~ (B=k1_zfmisc_1(A)) ) ) ) ) ).
fof(d4_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v5_relat_1(C, k1_cardfil2(A)) &  (v1_funct_1(C) & v1_partfun1(C, B)) ) ) )  => k2_cardfil2(A, B, C)=k1_setfam_1(k2_relset_1(k1_cardfil2(A), C))) ) ) ) ) ) ).
fof(d5_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_card_fil(B, A) =>  (! [C] :  (m1_card_fil(C, A) =>  (r1_cardfil2(A, B, C) <=> r1_tarski(B, C)) ) ) ) ) ) ) ).
fof(d6_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_card_fil(B, A) =>  (! [C] :  (m1_card_fil(C, A) =>  (r2_cardfil2(A, B, C) <=> r1_tarski(C, B)) ) ) ) ) ) ) ).
fof(t8_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_card_fil(B, A) =>  (! [C] :  (m1_card_fil(C, A) =>  (C=k1_tarski(A) => r2_setfam_1(B, C)) ) ) ) ) ) ) ).
fof(t9_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v5_relat_1(C, k1_cardfil2(A)) &  (v1_funct_1(C) & v1_partfun1(C, B)) ) ) )  =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  (m1_card_fil(E, A) =>  (E=k1_funct_1(C, D) => r1_cardfil2(A, k2_cardfil2(A, B, C), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_cardfil2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (v1_setfam_1(k2_cantor_1(A, B)) => v1_setfam_1(B)) ) ) ) ).
fof(t11_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [C] :  (m1_card_fil(C, A) =>  (r1_tarski(B, C) =>  (r1_tarski(k2_cantor_1(A, B), C) & v1_setfam_1(k2_cantor_1(A, B))) ) ) ) ) ) ) ) ).
fof(d7_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_card_fil(B, A) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(B)))  =>  (v3_cardfil2(C, A, B) <=>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (? [E] :  (m1_nat_lat(E, k1_zfmisc_1(A), B, C) & r1_tarski(E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_card_fil(B, A) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(B)))  =>  (r2_setfam_1(C, B) <=> v3_cardfil2(C, A, B)) ) ) ) ) ) ) ).
fof(t13_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_card_fil(B, A) =>  ( ~ (v1_xboole_0(B))  &  (v3_cardfil2(B, A, B) & m1_subset_1(B, k1_zfmisc_1(B))) ) ) ) ) ) ).
fof(d8_cardfil2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (C=k3_cardfil2(A, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (r2_tarski(D, C) <=>  (? [E] :  (m1_subset_1(E, B) & r1_tarski(E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_cardfil2, axiom,  (! [A] :  (! [B] :  ( (v1_xboole_0(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  => k3_cardfil2(A, B)=k1_zfmisc_1(A)) ) ) ).
fof(t16_cardfil2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (r2_tarski(k1_xboole_0, B) => k3_cardfil2(A, B)=k1_zfmisc_1(A)) ) ) ) ).
fof(t17_cardfil2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_yellow_1(A)))) =>  (B=C => k3_cardfil2(A, B)=k4_waybel_0(k2_yellow_1(A), C)) ) ) ) ) ) ).
fof(t18_cardfil2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) => r1_tarski(B, k3_cardfil2(A, B))) ) ) ).
fof(d9_cardfil2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (r3_cardfil2(A, B, C) <=>  ( (! [D] :  (m1_subset_1(D, B) =>  (? [E] :  (m1_subset_1(E, C) & r1_tarski(E, D)) ) ) )  &  (! [D] :  (m1_subset_1(D, C) =>  (? [E] :  (m1_subset_1(E, B) & r1_tarski(E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_cardfil2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (r3_cardfil2(A, B, C) => r1_tarski(k3_cardfil2(A, B), k3_cardfil2(A, C))) ) ) ) ) ) ).
fof(t20_cardfil2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (r3_cardfil2(A, B, C) => k3_cardfil2(A, B)=k3_cardfil2(A, C)) ) ) ) ) ) ).
fof(d10_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_card_fil(B, A) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(B)))  => k4_cardfil2(A, B, C)=C) ) ) ) ) ) ).
fof(t21_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_card_fil(B, A) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v3_cardfil2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(B))) )  => B=k3_cardfil2(A, k4_cardfil2(A, B, C))) ) ) ) ) ) ).
fof(t22_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_card_fil(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (B=k3_cardfil2(A, C) =>  ( ~ (v1_xboole_0(C))  &  (v3_cardfil2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(B))) ) ) ) ) ) ) ) ) ).
fof(t23_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_card_fil(B, A) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v3_cardfil2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(B))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(B)) =>  ( (D=E & r3_cardfil2(A, k4_cardfil2(A, B, C), D))  =>  ( ~ (v1_xboole_0(E))  &  (v3_cardfil2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_card_fil(B, A) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v3_cardfil2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(B))) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v3_cardfil2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(B))) )  => r3_cardfil2(A, k4_cardfil2(A, B, C), k4_cardfil2(A, B, D))) ) ) ) ) ) ) ) ).
fof(d11_cardfil2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (v4_cardfil2(B, A) <=>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (m1_subset_1(D, B) =>  (? [E] :  (m1_subset_1(E, B) & r1_tarski(E, k3_xboole_0(C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t25_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_setfam_1(B) &  (v4_cardfil2(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  => m1_card_fil(k3_cardfil2(A, B), A)) ) ) ) ).
fof(d12_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_setfam_1(B) &  (v4_cardfil2(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  => k5_cardfil2(A, B)=k3_cardfil2(A, B)) ) ) ) ).
fof(t26_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_setfam_1(B) &  (v4_cardfil2(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_setfam_1(C) &  (v4_cardfil2(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (k5_cardfil2(A, B)=k5_cardfil2(A, C) => r3_cardfil2(A, B, C)) ) ) ) ) ) ) ).
fof(t27_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_setfam_1(B) &  (v4_cardfil2(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_card_fil(C, A) =>  (r1_tarski(B, C) => r2_setfam_1(C, k5_cardfil2(A, B))) ) ) ) ) ) ) ).
fof(t28_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (v1_setfam_1(k2_cantor_1(A, B)) =>  ( ( ~ (v1_xboole_0(k2_cantor_1(A, B)))  &  (v1_setfam_1(k2_cantor_1(A, B)) &  (v4_cardfil2(k2_cantor_1(A, B), A) & m1_subset_1(k2_cantor_1(A, B), k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (? [C] :  (m1_card_fil(C, A) & r1_tarski(k2_cantor_1(A, B), C)) ) ) ) ) ) ) ) ).
fof(t29_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_card_fil(B, A) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v3_cardfil2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(B))) )  =>  ( ~ (v1_xboole_0(C))  &  (v1_setfam_1(C) &  (v4_cardfil2(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ) ) ) ) ) ) ).
fof(t30_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_setfam_1(B) &  (v4_cardfil2(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  ( ~ (v1_xboole_0(B))  &  (v3_cardfil2(B, A, k5_cardfil2(A, B)) & m1_subset_1(B, k1_zfmisc_1(k5_cardfil2(A, B)))) ) ) ) ) ) ).
fof(t31_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_card_fil(B, A) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v3_cardfil2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(B))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k2_yellow_1(A)))) =>  (D=k4_cardfil2(A, B, C) => B=k4_waybel_0(k2_yellow_1(A), D)) ) ) ) ) ) ) ) ) ).
fof(t32_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_setfam_1(B) &  (v4_cardfil2(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_yellow_1(A)))) =>  (C=B => k5_cardfil2(A, B)=k4_waybel_0(k2_yellow_1(A), C)) ) ) ) ) ) ) ).
fof(t33_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_card_fil(B, A) =>  (! [C] :  (m1_card_fil(C, A) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v3_cardfil2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(B))) )  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v3_cardfil2(E, A, C) & m1_subset_1(E, k1_zfmisc_1(C))) )  =>  (r1_cardfil2(A, B, C) <=> r2_setfam_1(E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  (m1_card_fil(D, A) =>  ( ( ~ (v1_xboole_0(k7_funct_2(A, B, C, D)))  &  (v1_setfam_1(k7_funct_2(A, B, C, D)) &  (v4_cardfil2(k7_funct_2(A, B, C, D), B) & m1_subset_1(k7_funct_2(A, B, C, D), k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  & k3_cardfil2(B, k7_funct_2(A, B, C, D))=k6_cardfil2(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t36_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_setfam_1(B) &  (v4_cardfil2(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (B=k5_cardfil2(A, B) => m1_card_fil(B, A)) ) ) ) ) ).
fof(t37_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  (m1_card_fil(D, A) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v3_cardfil2(E, A, D) & m1_subset_1(E, k1_zfmisc_1(D))) )  =>  ( ( ~ (v1_xboole_0(k7_funct_2(A, B, C, k4_cardfil2(A, D, E))))  &  (v3_cardfil2(k7_funct_2(A, B, C, k4_cardfil2(A, D, E)), B, k6_cardfil2(A, B, C, D)) & m1_subset_1(k7_funct_2(A, B, C, k4_cardfil2(A, D, E)), k1_zfmisc_1(k6_cardfil2(A, B, C, D)))) )  & k3_cardfil2(B, k7_funct_2(A, B, C, k4_cardfil2(A, D, E)))=k6_cardfil2(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_setfam_1(D) &  (v4_cardfil2(D, A) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v1_setfam_1(E) &  (v4_cardfil2(E, A) & m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (r2_setfam_1(E, D) => r1_cardfil2(A, k5_cardfil2(A, D), k5_cardfil2(A, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  (m1_card_fil(D, A) =>  (m1_card_fil(k7_funct_2(A, B, C, D), B) <=> B=k2_relset_1(B, C)) ) ) ) ) ) ) ) ) ).
fof(t41_cardfil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) ) )  =>  (v1_waybel_0(k2_struct_0(A), A) => m1_card_fil(k3_cardfil2(u1_struct_0(A), k7_cardfil2(A)), k2_struct_0(A))) ) ) ).
fof(d15_cardfil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) ) )  =>  (v1_waybel_0(k2_struct_0(A), A) => k8_cardfil2(A)=k3_cardfil2(u1_struct_0(A), k7_cardfil2(A))) ) ) ).
fof(t42_cardfil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) ) )  =>  (v1_waybel_0(k2_struct_0(A), A) =>  ( ~ (v1_xboole_0(k7_cardfil2(A)))  &  (v3_cardfil2(k7_cardfil2(A), k2_struct_0(A), k8_cardfil2(A)) & m1_subset_1(k7_cardfil2(A), k1_zfmisc_1(k8_cardfil2(A)))) ) ) ) ) ).
fof(d16_cardfil2, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => k9_cardfil2(A, B)=B) ) ) ) ).
fof(t43_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) & l1_orders_2(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_struct_0(B), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_struct_0(B), A)))) )  =>  (v1_waybel_0(k2_struct_0(B), B) =>  ( ~ (v1_xboole_0(k7_funct_2(k2_struct_0(B), A, C, k9_cardfil2(B, k7_cardfil2(B)))))  &  (v3_cardfil2(k7_funct_2(k2_struct_0(B), A, C, k9_cardfil2(B, k7_cardfil2(B))), A, k6_cardfil2(k2_struct_0(B), A, C, k8_cardfil2(B))) & m1_subset_1(k7_funct_2(k2_struct_0(B), A, C, k9_cardfil2(B, k7_cardfil2(B))), k1_zfmisc_1(k6_cardfil2(k2_struct_0(B), A, C, k8_cardfil2(B))))) ) ) ) ) ) ) ) ) ).
fof(t44_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) & l1_orders_2(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_struct_0(B), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_struct_0(B), A)))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  ~ ( (v1_waybel_0(k2_struct_0(B), B) &  (r2_tarski(D, k7_funct_2(k2_struct_0(B), A, C, k9_cardfil2(B, k7_cardfil2(B)))) &  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (r1_orders_2(B, E, F) &  ~ (r2_tarski(k1_funct_1(C, F), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) & l1_orders_2(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_struct_0(B), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_struct_0(B), A)))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  ~ ( (v1_waybel_0(k2_struct_0(B), B) &  ( (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (r1_orders_2(B, E, F) => r2_tarski(k1_funct_1(C, F), D)) ) ) ) )  &  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(u1_struct_0(B)), k7_cardfil2(B)) =>  ~ (r1_tarski(k7_relset_1(k2_struct_0(B), A, C, E), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) & l1_orders_2(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_struct_0(B), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_struct_0(B), A)))) )  =>  (! [D] :  (m1_card_fil(D, A) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v3_cardfil2(E, A, D) & m1_subset_1(E, k1_zfmisc_1(D))) )  =>  (v1_waybel_0(k2_struct_0(B), B) =>  (r1_cardfil2(A, D, k6_cardfil2(k2_struct_0(B), A, C, k8_cardfil2(B))) <=> r2_setfam_1(k7_funct_2(k2_struct_0(B), A, C, k9_cardfil2(B, k7_cardfil2(B))), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) & l1_orders_2(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_struct_0(B), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_struct_0(B), A)))) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_setfam_1(D) &  (v4_cardfil2(D, A) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (v1_waybel_0(k2_struct_0(B), B) =>  (r2_setfam_1(k7_funct_2(k2_struct_0(B), A, C, k9_cardfil2(B, k7_cardfil2(B))), D) <=>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), D) =>  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (r3_orders_2(B, F, G) => r2_tarski(k1_funct_1(C, G), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  => k10_cardfil2(A, B)=k6_cardfil2(k4_ordinal1, A, B, k4_card_fil(k4_ordinal1))) ) ) ) ).
fof(t54_cardfil2, axiom,  ( ( ~ (v1_xboole_0(k9_cardfil2(k11_dickson, k7_cardfil2(k11_dickson))))  &  (v3_cardfil2(k9_cardfil2(k11_dickson, k7_cardfil2(k11_dickson)), k4_ordinal1, k4_card_fil(k4_ordinal1)) & m1_subset_1(k9_cardfil2(k11_dickson, k7_cardfil2(k11_dickson)), k1_zfmisc_1(k4_card_fil(k4_ordinal1)))) )  & k8_cardfil2(k11_dickson)=k4_card_fil(k4_ordinal1)) ).
fof(d18_cardfil2, axiom, k11_cardfil2=k9_cardfil2(k11_dickson, k7_cardfil2(k11_dickson))).
fof(t55_cardfil2, axiom, r2_tarski(k4_ordinal1, k11_cardfil2)).
fof(t56_cardfil2, axiom,  ( ~ (v1_xboole_0(k11_cardfil2))  &  (v3_cardfil2(k11_cardfil2, k4_ordinal1, k4_card_fil(k4_ordinal1)) & m1_subset_1(k11_cardfil2, k1_zfmisc_1(k4_card_fil(k4_ordinal1)))) ) ).
fof(t57_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_card_fil(B, A) =>  (! [C] :  (m1_card_fil(C, A) =>  (! [D] :  (m1_card_fil(D, A) =>  ( (r2_cardfil2(A, D, B) & r2_cardfil2(A, D, C))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), C) =>  ~ (v1_xboole_0(k9_subset_1(A, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_card_fil(B, A) =>  (! [C] :  (m1_card_fil(C, A) =>  ~ ( ( (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), C) =>  ~ (v1_xboole_0(k9_subset_1(A, D, E))) ) ) ) )  &  (! [D] :  (m1_card_fil(D, A) =>  ~ ( (r2_cardfil2(A, D, B) & r2_cardfil2(A, D, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_cardfil2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k12_cardfil2(A, B)=B) ) ) ).
fof(t63_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_card_fil(B, A) => k5_setfam_1(A, B)=A) ) ) ) ).
fof(t65_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(k1_zfmisc_1(A)))  &  (v2_waybel_0(k1_zfmisc_1(A), k2_yellow_1(A)) &  (v13_waybel_0(k1_zfmisc_1(A), k2_yellow_1(A)) & m1_subset_1(k1_zfmisc_1(A), k1_zfmisc_1(u1_struct_0(k2_yellow_1(A))))) ) ) ) ).
fof(t66_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(k1_tarski(A)))  &  (v2_waybel_0(k1_tarski(A), k2_yellow_1(A)) &  (v13_waybel_0(k1_tarski(A), k2_yellow_1(A)) & m1_subset_1(k1_tarski(A), k1_zfmisc_1(u1_struct_0(k2_yellow_1(A))))) ) ) ) ).
fof(t67_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => m1_card_fil(k1_tarski(A), A)) ) ).
fof(t70_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k2_yellow_1(A)))))  =>  ( (! [C] :  (m2_subset_1(C, u1_struct_0(k2_yellow_1(A)), B) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(k2_yellow_1(A)), B) =>  (? [E] :  (m2_subset_1(E, u1_struct_0(k2_yellow_1(A)), B) & r1_tarski(E, k3_xboole_0(C, D))) ) ) ) ) )  <=> v2_waybel_0(B, k2_yellow_1(A))) ) ) ) ) ).
fof(t71_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_lattice3(A)))))  =>  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, k1_lattice3(A)) &  (v20_lattices(B, k1_lattice3(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_lattice3(A))))) ) )  <=>  ( (! [C] :  (m2_subset_1(C, u1_struct_0(k1_lattice3(A)), B) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(k1_lattice3(A)), B) => r2_tarski(k3_xboole_0(C, D), B)) ) ) )  &  (! [C] :  (m2_subset_1(C, u1_struct_0(k1_lattice3(A)), B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_lattice3(A))) =>  (r1_tarski(C, D) => r2_tarski(D, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t72_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_lattice3(A)))))  =>  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, k1_lattice3(A)) &  (v20_lattices(B, k1_lattice3(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_lattice3(A))))) ) )  <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  ( ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k9_subset_1(A, C, D), B))  &  ( (r2_tarski(C, B) & r1_tarski(C, D))  => r2_tarski(D, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t73_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, k1_lattice3(A)) &  (v20_lattices(B, k1_lattice3(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_lattice3(A))))) ) )  =>  ( ~ (v1_xboole_0(B))  &  (v2_waybel_0(B, k2_yellow_1(A)) &  (v13_waybel_0(B, k2_yellow_1(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k2_yellow_1(A))))) ) ) ) ) ) ) ) ).
fof(t74_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_waybel_0(B, k2_yellow_1(A)) &  (v13_waybel_0(B, k2_yellow_1(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k2_yellow_1(A))))) ) )  =>  ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, k1_lattice3(A)) &  (v20_lattices(B, k1_lattice3(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_lattice3(A))))) ) ) ) ) ) ) ).
fof(t75_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_lattice3(A)))))  =>  ( (v1_setfam_1(B) &  ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, k1_lattice3(A)) &  (v20_lattices(B, k1_lattice3(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_lattice3(A))))) ) ) )  <=> m1_card_fil(B, A)) ) ) ) ) ).
fof(t76_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_subset_1(B, u1_struct_0(k2_yellow_1(A))) &  (v2_waybel_0(B, k2_yellow_1(A)) &  (v13_waybel_0(B, k2_yellow_1(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k2_yellow_1(A))))) ) ) )  => m1_card_fil(B, A)) ) ) ) ).
fof(t77_cardfil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => m1_card_fil(k1_yellow19(A, B), u1_struct_0(A))) ) ) ) ).
fof(d20_cardfil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_subset_1(B, u1_struct_0(k2_yellow_1(k2_struct_0(A)))) &  (v2_waybel_0(B, k2_yellow_1(k2_struct_0(A))) &  (v13_waybel_0(B, k2_yellow_1(k2_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(A)))))) ) ) )  => k13_cardfil2(A, B)=B) ) ) ) ).
fof(d21_cardfil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_card_fil(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_subset_1(C, u1_struct_0(k2_yellow_1(k2_struct_0(A)))) &  (v2_waybel_0(C, k2_yellow_1(k2_struct_0(A))) &  (v13_waybel_0(C, k2_yellow_1(k2_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(A)))))) ) ) )  =>  (r4_cardfil2(A, B, C) <=> r1_tarski(k13_cardfil2(A, C), B)) ) ) ) ) ) ) ).
fof(d23_cardfil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_setfam_1(B) &  (v4_cardfil2(B, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) )  => k15_cardfil2(A, B)=k14_cardfil2(A, k5_cardfil2(u1_struct_0(A), B))) ) ) ) ).
fof(t78_cardfil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_card_fil(B, u1_struct_0(A)) =>  (? [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_subset_1(C, u1_struct_0(k2_yellow_1(u1_struct_0(A)))) &  (v2_waybel_0(C, k2_yellow_1(u1_struct_0(A))) &  (v13_waybel_0(C, k2_yellow_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_yellow_1(u1_struct_0(A)))))) ) ) )  & B=C) ) ) ) ) ) ).
fof(d24_cardfil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_card_fil(B, u1_struct_0(A)) => k16_cardfil2(A, B)=B) ) ) ) ).
fof(t79_cardfil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_card_fil(C, u1_struct_0(A)) =>  (r2_waybel_7(A, C, B) <=> r2_waybel_7(A, k16_cardfil2(A, C), B)) ) ) ) ) ) ) ).
fof(t80_cardfil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_card_fil(C, u1_struct_0(A)) =>  (r2_waybel_7(A, C, B) <=> r2_tarski(B, k14_cardfil2(A, C))) ) ) ) ) ) ) ).
fof(t81_cardfil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_card_fil(B, u1_struct_0(A)) => k14_cardfil2(A, B)=k17_cardfil2(A, k16_cardfil2(A, B))) ) ) ) ).
fof(t82_cardfil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_card_fil(B, u1_struct_0(A)) => k9_yellow_6(A, k3_yellow19(A, k2_struct_0(A), k16_cardfil2(A, B)))=k14_cardfil2(A, B)) ) ) ) ).
fof(t83_cardfil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v8_pre_topc(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  (m1_card_fil(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, k14_cardfil2(A, B)) & r2_tarski(D, k14_cardfil2(A, B)))  => C=D) ) ) ) ) ) ) ) ) ).
fof(d26_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  =>  (! [D] :  (m1_card_fil(D, A) => k18_cardfil2(A, B, C, D)=k14_cardfil2(B, k6_cardfil2(A, u1_struct_0(B), C, D))) ) ) ) ) ) ) ) ).
fof(d27_cardfil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) & l1_orders_2(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_struct_0(B), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_struct_0(B), u1_struct_0(A))))) )  => k19_cardfil2(A, B, C)=k14_cardfil2(A, k6_cardfil2(k2_struct_0(B), u1_struct_0(A), C, k8_cardfil2(B)))) ) ) ) ) ) ).
fof(t84_cardfil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) & l1_orders_2(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_struct_0(B), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_struct_0(B), u1_struct_0(A))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v3_cardfil2(E, u1_struct_0(A), k13_cardfil2(A, k1_yellow19(A, D))) & m1_subset_1(E, k1_zfmisc_1(k13_cardfil2(A, k1_yellow19(A, D))))) )  =>  (v1_waybel_0(k2_struct_0(B), B) =>  (r2_tarski(D, k19_cardfil2(A, B, C)) <=>  (! [F] :  (m1_nat_lat(F, k1_zfmisc_1(u1_struct_0(A)), k13_cardfil2(A, k1_yellow19(A, D)), E) =>  (? [G] :  (m1_subset_1(G, u1_struct_0(B)) &  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  (r3_orders_2(B, G, H) => r2_tarski(k1_funct_1(C, H), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d28_cardfil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => k20_cardfil2(A, B)=k14_cardfil2(A, k10_cardfil2(u1_struct_0(A), B))) ) ) ) ).
fof(t85_cardfil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => k18_cardfil2(k4_ordinal1, A, B, k4_card_fil(k4_ordinal1))=k20_cardfil2(A, B)) ) ) ) ).
fof(t86_cardfil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (v1_xboole_0(k1_yellow19(A, B)))  &  (v1_setfam_1(k1_yellow19(A, B)) &  (v4_cardfil2(k1_yellow19(A, B), k2_struct_0(A)) & m1_subset_1(k1_yellow19(A, B), k1_zfmisc_1(k1_zfmisc_1(k2_struct_0(A))))) ) ) ) ) ) ) ).
fof(t87_cardfil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v3_cardfil2(C, u1_struct_0(A), k13_cardfil2(A, k1_yellow19(A, B))) & m1_subset_1(C, k1_zfmisc_1(k13_cardfil2(A, k1_yellow19(A, B))))) )  =>  ( ~ (v1_xboole_0(C))  &  (v1_setfam_1(C) &  (v4_cardfil2(C, k2_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_struct_0(A))))) ) ) ) ) ) ) ) ) ).
fof(t88_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_setfam_1(C) &  (v4_cardfil2(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (r2_setfam_1(k7_funct_2(k4_ordinal1, A, B, k11_cardfil2), C) <=>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), C) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(k11_dickson)) &  (! [F] :  (m1_subset_1(F, u1_struct_0(k11_dickson)) =>  (r3_orders_2(k11_dickson, E, F) => r2_tarski(k1_funct_1(B, F), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t89_cardfil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v3_cardfil2(D, u1_struct_0(A), k13_cardfil2(A, k1_yellow19(A, C))) & m1_subset_1(D, k1_zfmisc_1(k13_cardfil2(A, k1_yellow19(A, C))))) )  =>  (r2_tarski(C, k18_cardfil2(k4_ordinal1, A, B, k4_card_fil(k4_ordinal1))) <=> r2_setfam_1(k7_funct_2(k4_ordinal1, u1_struct_0(A), B, k11_cardfil2), D)) ) ) ) ) ) ) ) ) ).
fof(t90_cardfil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v3_cardfil2(D, u1_struct_0(A), k13_cardfil2(A, k1_yellow19(A, C))) & m1_subset_1(D, k1_zfmisc_1(k13_cardfil2(A, k1_yellow19(A, C))))) )  =>  (r2_setfam_1(k7_funct_2(k4_ordinal1, k2_struct_0(A), B, k11_cardfil2), D) <=>  (! [E] :  (m1_nat_lat(E, k1_zfmisc_1(u1_struct_0(A)), k13_cardfil2(A, k1_yellow19(A, C)), D) =>  (? [F] :  (m1_subset_1(F, u1_struct_0(k11_dickson)) &  (! [G] :  (m1_subset_1(G, u1_struct_0(k11_dickson)) =>  (r3_orders_2(k11_dickson, F, G) => r2_tarski(k1_funct_1(B, G), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t91_cardfil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v3_cardfil2(D, u1_struct_0(A), k13_cardfil2(A, k1_yellow19(A, C))) & m1_subset_1(D, k1_zfmisc_1(k13_cardfil2(A, k1_yellow19(A, C))))) )  =>  (r2_tarski(C, k18_cardfil2(k4_ordinal1, A, B, k4_card_fil(k4_ordinal1))) <=>  (! [E] :  (m1_nat_lat(E, k1_zfmisc_1(u1_struct_0(A)), k13_cardfil2(A, k1_yellow19(A, C)), D) =>  (? [F] :  (m1_subset_1(F, u1_struct_0(k11_dickson)) &  (! [G] :  (m1_subset_1(G, u1_struct_0(k11_dickson)) =>  (r3_orders_2(k11_dickson, F, G) => r2_tarski(k1_funct_1(B, G), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t92_cardfil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v3_cardfil2(D, u1_struct_0(A), k13_cardfil2(A, k1_yellow19(A, C))) & m1_subset_1(D, k1_zfmisc_1(k13_cardfil2(A, k1_yellow19(A, C))))) )  =>  (r2_tarski(C, k20_cardfil2(A, B)) <=>  (! [E] :  (m1_nat_lat(E, k1_zfmisc_1(u1_struct_0(A)), k13_cardfil2(A, k1_yellow19(A, C)), D) =>  (? [F] :  (m1_subset_1(F, u1_struct_0(k11_dickson)) &  (! [G] :  (m1_subset_1(G, u1_struct_0(k11_dickson)) =>  (r3_orders_2(k11_dickson, F, G) => r2_tarski(k1_funct_1(B, G), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d29_cardfil2, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => k21_cardfil2(A, B)=g1_waybel_0(A, k4_ordinal1, k10_dickson, B)) ) ) ) ).
fof(t93_cardfil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (r1_waybel_0(A, k21_cardfil2(A, C), B) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(k21_cardfil2(A, C))) &  (! [E] :  (m1_subset_1(E, u1_struct_0(k21_cardfil2(A, C))) =>  (r1_orders_2(k21_cardfil2(A, C), D, E) => r2_tarski(k2_waybel_0(A, k21_cardfil2(A, C), E), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t94_cardfil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v3_cardfil2(D, u1_struct_0(A), k13_cardfil2(A, k1_yellow19(A, C))) & m1_subset_1(D, k1_zfmisc_1(k13_cardfil2(A, k1_yellow19(A, C))))) )  =>  ( (! [E] :  (m1_nat_lat(E, k1_zfmisc_1(u1_struct_0(A)), k13_cardfil2(A, k1_yellow19(A, C)), D) =>  (? [F] :  (m1_subset_1(F, u1_struct_0(k11_dickson)) &  (! [G] :  (m1_subset_1(G, u1_struct_0(k11_dickson)) =>  (r3_orders_2(k11_dickson, F, G) => r2_tarski(k1_funct_1(B, G), E)) ) ) ) ) ) )  <=>  (! [E] :  (m1_nat_lat(E, k1_zfmisc_1(u1_struct_0(A)), k13_cardfil2(A, k1_yellow19(A, C)), D) =>  (? [F] :  (m1_subset_1(F, u1_struct_0(k21_cardfil2(A, B))) &  (! [G] :  (m1_subset_1(G, u1_struct_0(k21_cardfil2(A, B))) =>  (r1_orders_2(k21_cardfil2(A, B), F, G) => r2_tarski(k2_waybel_0(A, k21_cardfil2(A, B), G), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t95_cardfil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v3_cardfil2(D, u1_struct_0(A), k13_cardfil2(A, k1_yellow19(A, C))) & m1_subset_1(D, k1_zfmisc_1(k13_cardfil2(A, k1_yellow19(A, C))))) )  =>  (r2_tarski(C, k20_cardfil2(A, B)) <=>  (! [E] :  (m1_nat_lat(E, k1_zfmisc_1(u1_struct_0(A)), k13_cardfil2(A, k1_yellow19(A, C)), D) => r1_waybel_0(A, k21_cardfil2(A, B), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t96_cardfil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v3_cardfil2(D, u1_struct_0(A), k13_cardfil2(A, k1_yellow19(A, C))) & m1_subset_1(D, k1_zfmisc_1(k13_cardfil2(A, k1_yellow19(A, C))))) )  =>  (r2_tarski(C, k20_cardfil2(A, B)) <=>  (! [E] :  (m1_nat_lat(E, k1_zfmisc_1(u1_struct_0(A)), k13_cardfil2(A, k1_yellow19(A, C)), D) =>  (? [F] :  (m1_subset_1(F, k4_ordinal1) &  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  (r1_xxreal_0(F, G) => r2_tarski(k3_funct_2(k4_ordinal1, u1_struct_0(A), B, G), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t97_cardfil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v3_cardfil2(D, u1_struct_0(A), k13_cardfil2(A, k1_yellow19(A, C))) & m1_subset_1(D, k1_zfmisc_1(k13_cardfil2(A, k1_yellow19(A, C))))) )  =>  (r2_tarski(C, k20_cardfil2(A, B)) <=>  (! [E] :  (m1_nat_lat(E, k1_zfmisc_1(u1_struct_0(A)), k13_cardfil2(A, k1_yellow19(A, C)), D) =>  (? [F] :  (v7_ordinal1(F) &  (! [G] :  (v7_ordinal1(G) =>  (r1_xxreal_0(F, G) => r2_tarski(k8_nat_1(u1_struct_0(A), B, G), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k1_cardfil2(A))) ) ) ).
fof(dt_k2_cardfil2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v5_relat_1(C, k1_cardfil2(A)) &  (v1_funct_1(C) & v1_partfun1(C, B)) ) ) ) ) )  => m1_card_fil(k2_cardfil2(A, B, C), A)) ) ).
fof(reflexivity_r1_cardfil2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_card_fil(B, A) & m1_card_fil(C, A)) )  => r1_cardfil2(A, B, B)) ) ).
fof(reflexivity_r2_cardfil2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_card_fil(B, A) & m1_card_fil(C, A)) )  => r2_cardfil2(A, B, B)) ) ).
fof(dt_k3_cardfil2, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) => m1_subset_1(k3_cardfil2(A, B), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ).
fof(symmetry_r3_cardfil2, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  (r3_cardfil2(A, B, C) => r3_cardfil2(A, C, B)) ) ) ).
fof(reflexivity_r3_cardfil2, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))))  => r3_cardfil2(A, B, B)) ) ).
fof(dt_k4_cardfil2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_card_fil(B, A) &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(B))) ) )  =>  ( ~ (v1_xboole_0(k4_cardfil2(A, B, C)))  & m1_subset_1(k4_cardfil2(A, B, C), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ).
fof(dt_k5_cardfil2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_setfam_1(B) &  (v4_cardfil2(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) )  => m1_card_fil(k5_cardfil2(A, B), A)) ) ).
fof(dt_k6_cardfil2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  & m1_card_fil(D, A)) ) )  => m1_card_fil(k6_cardfil2(A, B, C, D), B)) ) ).
fof(dt_k7_cardfil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  ( ~ (v1_xboole_0(k7_cardfil2(A)))  & m1_subset_1(k7_cardfil2(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ) ).
fof(dt_k8_cardfil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) ) )  => m1_card_fil(k8_cardfil2(A), k2_struct_0(A))) ) ).
fof(dt_k9_cardfil2, axiom,  (! [A, B] :  ( (l1_orders_2(A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))  => m1_subset_1(k9_cardfil2(A, B), k1_zfmisc_1(k1_zfmisc_1(k2_struct_0(A))))) ) ).
fof(dt_k10_cardfil2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) ) )  => m1_card_fil(k10_cardfil2(A, B), A)) ) ).
fof(dt_k11_cardfil2, axiom,  ( ~ (v1_xboole_0(k11_cardfil2))  &  (v1_setfam_1(k11_cardfil2) &  (v4_cardfil2(k11_cardfil2, k4_ordinal1) & m1_subset_1(k11_cardfil2, k1_zfmisc_1(k1_zfmisc_1(k4_ordinal1)))) ) ) ).
fof(dt_k12_cardfil2, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => m1_subset_1(k12_cardfil2(A, B), u1_struct_0(k2_yellow_1(A)))) ) ).
fof(dt_k13_cardfil2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v1_subset_1(B, u1_struct_0(k2_yellow_1(k2_struct_0(A)))) &  (v2_waybel_0(B, k2_yellow_1(k2_struct_0(A))) &  (v13_waybel_0(B, k2_yellow_1(k2_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(A)))))) ) ) ) )  => m1_card_fil(k13_cardfil2(A, B), u1_struct_0(A))) ) ).
fof(dt_k14_cardfil2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  & m1_card_fil(B, u1_struct_0(A)))  => m1_subset_1(k14_cardfil2(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k15_cardfil2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v1_setfam_1(B) &  (v4_cardfil2(B, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ) )  => m1_subset_1(k15_cardfil2(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k16_cardfil2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  & m1_card_fil(B, u1_struct_0(A)))  =>  ( ~ (v1_xboole_0(k16_cardfil2(A, B)))  &  (v1_subset_1(k16_cardfil2(A, B), u1_struct_0(k2_yellow_1(k2_struct_0(A)))) &  (v2_waybel_0(k16_cardfil2(A, B), k2_yellow_1(k2_struct_0(A))) &  (v13_waybel_0(k16_cardfil2(A, B), k2_yellow_1(k2_struct_0(A))) & m1_subset_1(k16_cardfil2(A, B), k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(A)))))) ) ) ) ) ) ).
fof(dt_k17_cardfil2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v2_waybel_0(B, k2_yellow_1(k2_struct_0(A))) &  (v13_waybel_0(B, k2_yellow_1(k2_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(A)))))) ) ) )  => m1_subset_1(k17_cardfil2(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k18_cardfil2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  & m1_card_fil(D, A)) ) )  => m1_subset_1(k18_cardfil2(A, B, C, D), k1_zfmisc_1(k2_struct_0(B)))) ) ).
fof(dt_k19_cardfil2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) & l1_orders_2(B)) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_struct_0(B), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_struct_0(B), u1_struct_0(A))))) ) ) )  => m1_subset_1(k19_cardfil2(A, B, C), k1_zfmisc_1(k2_struct_0(A)))) ) ).
fof(dt_k20_cardfil2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => m1_subset_1(k20_cardfil2(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k21_cardfil2, axiom,  (! [A, B] :  ( (l1_struct_0(A) &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ( ~ (v2_struct_0(k21_cardfil2(A, B)))  &  (v6_waybel_0(k21_cardfil2(A, B), A) & l1_waybel_0(k21_cardfil2(A, B), A)) ) ) ) ).
fof(t2_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_card_fil(C, A) =>  (! [D] :  (m1_card_fil(D, B) =>  ( ~ (v1_xboole_0(a_4_0_cardfil2(A, B, C, D)))  & m1_subset_1(a_4_0_cardfil2(A, B, C, D), k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B))))) ) ) ) ) ) ) ) ) ).
fof(t5_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A)))  => m1_card_fil(a_2_0_cardfil2(A, B), A)) ) ) ) ).
fof(d3_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k1_cardfil2(A)=a_1_0_cardfil2(A)) ) ).
fof(t14_cardfil2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) => k3_cardfil2(A, B)=a_2_1_cardfil2(A, B)) ) ) ).
fof(t34_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  (m1_card_fil(D, A) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v3_cardfil2(E, A, D) & m1_subset_1(E, k1_zfmisc_1(D))) )  =>  ( ( ~ (v1_xboole_0(k7_funct_2(A, B, C, k4_cardfil2(A, D, E))))  &  (v1_setfam_1(k7_funct_2(A, B, C, k4_cardfil2(A, D, E))) &  (v4_cardfil2(k7_funct_2(A, B, C, k4_cardfil2(A, D, E)), B) & m1_subset_1(k7_funct_2(A, B, C, k4_cardfil2(A, D, E)), k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  (m1_card_fil(k3_cardfil2(B, k7_funct_2(A, B, C, k4_cardfil2(A, D, E))), B) & k3_cardfil2(B, k7_funct_2(A, B, C, k4_cardfil2(A, D, E)))=a_4_1_cardfil2(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  (m1_card_fil(D, A) => k6_cardfil2(A, B, C, D)=a_4_1_cardfil2(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t40_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A)))  =>  (! [C] :  (m1_card_fil(C, B) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v3_cardfil2(D, B, C) & m1_subset_1(D, k1_zfmisc_1(C))) )  =>  ( ( ~ (v1_xboole_0(k7_funct_2(B, A, k6_funct_3(A, B), k4_cardfil2(B, C, D))))  &  (v1_setfam_1(k7_funct_2(B, A, k6_funct_3(A, B), k4_cardfil2(B, C, D))) &  (v4_cardfil2(k7_funct_2(B, A, k6_funct_3(A, B), k4_cardfil2(B, C, D)), A) & m1_subset_1(k7_funct_2(B, A, k6_funct_3(A, B), k4_cardfil2(B, C, D)), k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m1_card_fil(k3_cardfil2(A, k7_funct_2(B, A, k6_funct_3(A, B), k4_cardfil2(B, C, D))), A) & k3_cardfil2(A, k7_funct_2(B, A, k6_funct_3(A, B), k4_cardfil2(B, C, D)))=a_3_0_cardfil2(A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(d14_cardfil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  => k7_cardfil2(A)=a_1_1_cardfil2(A)) ) ).
fof(t48_cardfil2, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_zfmisc_1(k4_ordinal1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k4_ordinal1))))) )  &  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k3_funct_2(k4_ordinal1, k1_zfmisc_1(k4_ordinal1), A, B)=a_1_2_cardfil2(B)) ) ) ) ).
fof(t49_cardfil2, axiom,  (! [A] :  (v7_ordinal1(A) => v1_finset_1(k6_subset_1(k4_ordinal1, a_1_3_cardfil2(A)))) ) ).
fof(t50_cardfil2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k11_dickson)) => a_1_4_cardfil2(A)=k6_waybel_0(k11_dickson, A)) ) ).
fof(t51_cardfil2, axiom,  (! [A] :  (v5_card_3(A) => k4_card_fil(A)=a_1_5_cardfil2(A)) ) ).
fof(t52_cardfil2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_zfmisc_1(k4_ordinal1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k4_ordinal1))))) )  =>  ( (! [B] :  (m1_subset_1(B, k4_ordinal1) => k3_funct_2(k4_ordinal1, k1_zfmisc_1(k4_ordinal1), A, B)=a_1_2_cardfil2(B)) )  =>  ( ~ (v1_xboole_0(k2_relset_1(k1_zfmisc_1(k4_ordinal1), A)))  &  (v3_cardfil2(k2_relset_1(k1_zfmisc_1(k4_ordinal1), A), k4_ordinal1, k4_card_fil(k4_ordinal1)) & m1_subset_1(k2_relset_1(k1_zfmisc_1(k4_ordinal1), A), k1_zfmisc_1(k4_card_fil(k4_ordinal1)))) ) ) ) ) ).
fof(t53_cardfil2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_zfmisc_1(k4_ordinal1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k4_ordinal1))))) )  =>  ( (! [B] :  (m1_subset_1(B, k4_ordinal1) => k3_funct_2(k4_ordinal1, k1_zfmisc_1(k4_ordinal1), A, B)=a_1_2_cardfil2(B)) )  => k9_cardfil2(k11_dickson, k7_cardfil2(k11_dickson))=k2_relset_1(k1_zfmisc_1(k4_ordinal1), A)) ) ) ).
fof(t59_cardfil2, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  => r2_tarski(A, a_1_6_cardfil2(A))) ) ).
fof(t60_cardfil2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => a_2_2_cardfil2(A, B)=a_2_3_cardfil2(A, B)) ) ) ).
fof(t61_cardfil2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_yellow_1(A))) => k6_waybel_0(k2_yellow_1(A), B)=a_2_4_cardfil2(A, B)) ) ) ).
fof(t62_cardfil2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => a_2_2_cardfil2(A, B)=k6_waybel_0(k2_yellow_1(A), k12_cardfil2(A, B))) ) ) ).
fof(t64_cardfil2, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  => m1_card_fil(a_1_6_cardfil2(A), A)) ) ).
fof(t68_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_yellow_1(A))) =>  ( ~ (v1_xboole_0(a_2_5_cardfil2(A, B)))  &  (v2_waybel_0(a_2_5_cardfil2(A, B), k2_yellow_1(A)) &  (v13_waybel_0(a_2_5_cardfil2(A, B), k2_yellow_1(A)) & m1_subset_1(a_2_5_cardfil2(A, B), k1_zfmisc_1(u1_struct_0(k2_yellow_1(A))))) ) ) ) ) ) ) ).
fof(t69_cardfil2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_yellow_1(A))) =>  ( ~ (v1_xboole_0(a_2_6_cardfil2(A, B)))  &  (v2_waybel_0(a_2_6_cardfil2(A, B), k2_yellow_1(A)) &  (v13_waybel_0(a_2_6_cardfil2(A, B), k2_yellow_1(A)) & m1_subset_1(a_2_6_cardfil2(A, B), k1_zfmisc_1(u1_struct_0(k2_yellow_1(A))))) ) ) ) ) ) ) ).
fof(d22_cardfil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_card_fil(B, u1_struct_0(A)) => k14_cardfil2(A, B)=a_2_7_cardfil2(A, B)) ) ) ) ).
fof(d25_cardfil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_waybel_0(B, k2_yellow_1(k2_struct_0(A))) &  (v13_waybel_0(B, k2_yellow_1(k2_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(A)))))) ) )  => k17_cardfil2(A, B)=a_2_8_cardfil2(A, B)) ) ) ) ).
fof(fraenkel_a_4_0_cardfil2, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (m1_card_fil(D, B) & m1_card_fil(E, C)) ) )  =>  (r2_hidden(A, a_4_0_cardfil2(B, C, D, E)) <=>  (? [F, G] :  ( (m2_subset_1(F, k1_zfmisc_1(B), D) & m2_subset_1(G, k1_zfmisc_1(C), E))  & A=k8_mcart_1(B, C, F, G)) ) ) ) ) ).
fof(fraenkel_a_2_0_cardfil2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(B))) )  =>  (r2_hidden(A, a_2_0_cardfil2(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) &  (A=D & r1_tarski(C, D)) ) ) ) ) ) ).
fof(fraenkel_a_1_0_cardfil2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (r2_hidden(A, a_1_0_cardfil2(B)) <=>  (? [C] :  (m1_card_fil(C, B) & A=C) ) ) ) ) ).
fof(fraenkel_a_2_1_cardfil2, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B))) =>  (r2_hidden(A, a_2_1_cardfil2(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) &  (A=D &  (? [E] :  (m1_subset_1(E, C) & r1_tarski(E, D)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_1_cardfil2, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  & m1_card_fil(E, B)) ) )  =>  (r2_hidden(A, a_4_1_cardfil2(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, k1_zfmisc_1(C)) &  (A=F & r2_tarski(k8_relset_1(B, C, D, F), E)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_cardfil2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(B)))  & m1_card_fil(D, C)) )  =>  (r2_hidden(A, a_3_0_cardfil2(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(B)) &  (A=E & r2_tarski(k8_relset_1(C, B, k6_funct_3(B, C), E), D)) ) ) ) ) ) ).
fof(fraenkel_a_1_1_cardfil2, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  =>  (r2_hidden(A, a_1_1_cardfil2(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(B)) & A=k6_waybel_0(B, C)) ) ) ) ) ).
fof(fraenkel_a_1_2_cardfil2, axiom,  (! [A, B] :  (m1_subset_1(B, k4_ordinal1) =>  (r2_hidden(A, a_1_2_cardfil2(B)) <=>  (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (A=C & r1_xxreal_0(B, C)) ) ) ) ) ) ).
fof(fraenkel_a_1_3_cardfil2, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_3_cardfil2(B)) <=>  (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (A=C & r1_xxreal_0(B, C)) ) ) ) ) ) ).
fof(fraenkel_a_1_4_cardfil2, axiom,  (! [A, B] :  (m1_subset_1(B, u1_struct_0(k11_dickson)) =>  (r2_hidden(A, a_1_4_cardfil2(B)) <=>  (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (A=C &  (? [D] :  (m1_subset_1(D, k4_ordinal1) &  (B=D & r1_xxreal_0(D, C)) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_5_cardfil2, axiom,  (! [A, B] :  (v5_card_3(B) =>  (r2_hidden(A, a_1_5_cardfil2(B)) <=>  (? [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(B)))  & A=k6_subset_1(B, C)) ) ) ) ) ).
fof(fraenkel_a_1_6_cardfil2, axiom,  (! [A, B] :  ( ~ (v1_finset_1(B))  =>  (r2_hidden(A, a_1_6_cardfil2(B)) <=>  (? [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(B)))  & A=k6_subset_1(B, C)) ) ) ) ) ).
fof(fraenkel_a_2_2_cardfil2, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (r2_hidden(A, a_2_2_cardfil2(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(k2_yellow_1(B))) &  (A=D & r1_tarski(C, D)) ) ) ) ) ) ).
fof(fraenkel_a_2_3_cardfil2, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (r2_hidden(A, a_2_3_cardfil2(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) &  (A=D & r1_tarski(C, D)) ) ) ) ) ) ).
fof(fraenkel_a_2_4_cardfil2, axiom,  (! [A, B, C] :  (m1_subset_1(C, u1_struct_0(k2_yellow_1(B))) =>  (r2_hidden(A, a_2_4_cardfil2(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) &  (A=D & r1_tarski(C, D)) ) ) ) ) ) ).
fof(fraenkel_a_2_5_cardfil2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(C, u1_struct_0(k2_yellow_1(B))))  =>  (r2_hidden(A, a_2_5_cardfil2(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) &  (A=D & r1_tarski(C, D)) ) ) ) ) ) ).
fof(fraenkel_a_2_6_cardfil2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(C, u1_struct_0(k2_yellow_1(B))))  =>  (r2_hidden(A, a_2_6_cardfil2(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(k2_yellow_1(B))) &  (A=D & r1_tarski(C, D)) ) ) ) ) ) ).
fof(fraenkel_a_2_7_cardfil2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  & m1_card_fil(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_2_7_cardfil2(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & r4_cardfil2(B, C, k1_yellow19(B, D))) ) ) ) ) ) ).
fof(fraenkel_a_2_8_cardfil2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  &  ( ~ (v1_xboole_0(C))  &  (v2_waybel_0(C, k2_yellow_1(k2_struct_0(B))) &  (v13_waybel_0(C, k2_yellow_1(k2_struct_0(B))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(B)))))) ) ) )  =>  (r2_hidden(A, a_2_8_cardfil2(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & r1_tarski(k1_yellow19(B, D), C)) ) ) ) ) ) ).
fof(t1_cardfil3, axiom,  (! [A] : m1_subset_1(k1_xboole_0, k5_finsub_1(A))) ).
fof(t2_cardfil3, axiom,  (! [A] :  (! [B] :  ~ ( (r2_tarski(B, k5_finsub_1(A)) &  (! [C] :  (m2_finseq_1(C, A) =>  ~ ( (B=k10_xtuple_0(C) & v2_funct_1(C)) ) ) ) ) ) ) ) ).
fof(t3_cardfil3, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  (m2_finseq_1(D, A) => m2_finseq_1(k3_relat_1(D, C), B)) ) ) ) ) ) ) ).
fof(t4_cardfil3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  (m2_finseq_1(D, A) =>  (! [E] :  (m2_finseq_1(E, A) => k3_relat_1(k8_finseq_1(A, D, E), C)=k7_finseq_1(k3_relat_1(D, C), k3_relat_1(E, C))) ) ) ) ) ) ) ) ) ) ).
fof(d1_cardfil3, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  (m2_finseq_1(D, A) => k1_cardfil3(A, B, C, D)=k3_relat_1(D, C)) ) ) ) ) ) ) ).
fof(d2_cardfil3, axiom,  (! [A] : k2_cardfil3(A)=k1_yellow_1(k5_finsub_1(A))) ).
fof(t5_cardfil3, axiom,  (! [A] : v1_waybel_0(k2_struct_0(k2_cardfil3(A)), k2_cardfil3(A))) ).
fof(t6_cardfil3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_pcomps_1(A))) =>  ( ~ (v1_xboole_0(k1_frechet(A, B)))  &  (v3_cardfil2(k1_frechet(A, B), u1_struct_0(k3_pcomps_1(A)), k13_cardfil2(k3_pcomps_1(A), k1_yellow19(k3_pcomps_1(A), B))) & m1_subset_1(k1_frechet(A, B), k1_zfmisc_1(k13_cardfil2(k3_pcomps_1(A), k1_yellow19(k3_pcomps_1(A), B))))) ) ) ) ) ) ).
fof(t7_cardfil3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) & l1_orders_2(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_struct_0(B), u1_struct_0(k3_pcomps_1(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_struct_0(B), u1_struct_0(k3_pcomps_1(A)))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k3_pcomps_1(A))) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v3_cardfil2(E, u1_struct_0(k3_pcomps_1(A)), k13_cardfil2(k3_pcomps_1(A), k1_yellow19(k3_pcomps_1(A), D))) & m1_subset_1(E, k1_zfmisc_1(k13_cardfil2(k3_pcomps_1(A), k1_yellow19(k3_pcomps_1(A), D))))) )  =>  (v1_waybel_0(k2_struct_0(B), B) =>  (r2_tarski(D, k19_cardfil2(k3_pcomps_1(A), B, C)) <=>  (! [F] :  (m2_subset_1(F, k13_cardfil2(k3_pcomps_1(A), k1_yellow19(k3_pcomps_1(A), D)), E) =>  (? [G] :  (m1_subset_1(G, u1_struct_0(B)) &  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  (r3_orders_2(B, G, H) => r2_tarski(k1_funct_1(C, H), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_cardfil3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) & l1_orders_2(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_struct_0(B), u1_struct_0(k3_pcomps_1(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_struct_0(B), u1_struct_0(k3_pcomps_1(A)))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k3_pcomps_1(A))) =>  (v1_waybel_0(k2_struct_0(B), B) =>  (r2_tarski(D, k19_cardfil2(k3_pcomps_1(A), B, C)) <=>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))), k1_frechet(A, D)) =>  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (r3_orders_2(B, F, G) => r2_tarski(k1_funct_1(C, G), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_cardfil3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k3_pcomps_1(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k3_pcomps_1(A)))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_pcomps_1(A))) =>  (r2_tarski(C, k20_cardfil2(k3_pcomps_1(A), B)) <=>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))), k1_frechet(A, C)) =>  (? [E] :  (v7_ordinal1(E) &  (! [F] :  (v7_ordinal1(F) =>  (r1_xxreal_0(E, F) => r2_tarski(k1_normsp_0(k3_pcomps_1(A), B, F), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_cardfil3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, k2_frechet(A, B)) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v3_pre_topc(D, A) &  (r2_tarski(C, D) &  (! [E] :  (v7_ordinal1(E) =>  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(E, F) &  ~ (r2_tarski(k1_normsp_0(A, B, F), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_cardfil3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k3_pcomps_1(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k3_pcomps_1(A)))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_pcomps_1(A))) =>  (r2_tarski(C, k2_frechet(k3_pcomps_1(A), B)) <=>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))), k1_frechet(A, C)) =>  (? [E] :  (v7_ordinal1(E) &  (! [F] :  (v7_ordinal1(F) =>  (r1_xxreal_0(E, F) => r2_tarski(k1_normsp_0(k3_pcomps_1(A), B, F), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_cardfil3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k3_pcomps_1(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k3_pcomps_1(A)))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_pcomps_1(A))) =>  (r2_tarski(C, k20_cardfil2(k3_pcomps_1(A), B)) <=> r2_tarski(C, k2_frechet(k3_pcomps_1(A), B))) ) ) ) ) ) ) ).
fof(t13_cardfil3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) & l1_orders_2(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_struct_0(B), u1_struct_0(k3_pcomps_1(k2_normsp_2(A)))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_struct_0(B), u1_struct_0(k3_pcomps_1(k2_normsp_2(A))))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k3_pcomps_1(k2_normsp_2(A)))) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v3_cardfil2(E, u1_struct_0(k3_pcomps_1(k2_normsp_2(A))), k13_cardfil2(k3_pcomps_1(k2_normsp_2(A)), k1_yellow19(k3_pcomps_1(k2_normsp_2(A)), D))) & m1_subset_1(E, k1_zfmisc_1(k13_cardfil2(k3_pcomps_1(k2_normsp_2(A)), k1_yellow19(k3_pcomps_1(k2_normsp_2(A)), D))))) )  =>  (v1_waybel_0(k2_struct_0(B), B) =>  (r2_tarski(D, k19_cardfil2(k3_pcomps_1(k2_normsp_2(A)), B, C)) <=>  (! [F] :  (m2_subset_1(F, k13_cardfil2(k3_pcomps_1(k2_normsp_2(A)), k1_yellow19(k3_pcomps_1(k2_normsp_2(A)), D)), E) =>  (? [G] :  (m1_subset_1(G, u1_struct_0(B)) &  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  (r3_orders_2(B, G, H) => r2_tarski(k1_funct_1(C, H), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_cardfil3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_pcomps_1(k2_normsp_2(A)))) =>  ( ~ (v1_xboole_0(k1_frechet(k2_normsp_2(A), B)))  &  (v3_cardfil2(k1_frechet(k2_normsp_2(A), B), u1_struct_0(k3_pcomps_1(k2_normsp_2(A))), k13_cardfil2(k3_pcomps_1(k2_normsp_2(A)), k1_yellow19(k3_pcomps_1(k2_normsp_2(A)), B))) & m1_subset_1(k1_frechet(k2_normsp_2(A), B), k1_zfmisc_1(k13_cardfil2(k3_pcomps_1(k2_normsp_2(A)), k1_yellow19(k3_pcomps_1(k2_normsp_2(A)), B))))) ) ) ) ) ) ).
fof(t15_cardfil3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k3_pcomps_1(k2_normsp_2(A)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k3_pcomps_1(k2_normsp_2(A))))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_pcomps_1(k2_normsp_2(A)))) =>  (r2_tarski(C, k20_cardfil2(k3_pcomps_1(k2_normsp_2(A)), B)) <=>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(k2_normsp_2(A)))), k1_frechet(k2_normsp_2(A), C)) =>  (? [E] :  (v7_ordinal1(E) &  (! [F] :  (v7_ordinal1(F) =>  (r1_xxreal_0(E, F) => r2_tarski(k1_normsp_0(k3_pcomps_1(k2_normsp_2(A)), B, F), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_cardfil3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_pcomps_1(k2_normsp_2(A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_normsp_2(A))) =>  (! [D] :  ( (v7_ordinal1(D) & v2_xxreal_0(D))  =>  (B=C => r2_tarski(k8_metric_1(k2_normsp_2(A), C, k7_xcmplx_0(1, D)), k1_frechet(k2_normsp_2(A), B))) ) ) ) ) ) ) ) ) ).
fof(t20_cardfil3, axiom,  (! [A] :  (l1_metric_1(A) => k3_pcomps_1(A)=g1_pre_topc(u1_struct_0(A), k2_pcomps_1(A))) ) ).
fof(t21_cardfil3, axiom,  (! [A] :  (l1_metric_1(A) => u1_struct_0(g1_pre_topc(u1_struct_0(A), k2_pcomps_1(A)))=u1_struct_0(A)) ) ).
fof(t22_cardfil3, axiom,  (! [A] :  (l1_metric_1(A) => u1_struct_0(k3_pcomps_1(A))=u1_struct_0(g1_pre_topc(u1_struct_0(A), k2_pcomps_1(A)))) ) ).
fof(t23_cardfil3, axiom,  (! [A] :  (l1_metric_1(A) => u1_struct_0(k3_pcomps_1(A))=u1_struct_0(A)) ) ).
fof(t24_cardfil3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k3_pcomps_1(k2_normsp_2(A)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k3_pcomps_1(k2_normsp_2(A))))))) )  =>  (! [C] :  (v7_ordinal1(C) => m1_subset_1(k1_normsp_0(k3_pcomps_1(k2_normsp_2(A)), B, C), u1_struct_0(k3_pcomps_1(k2_normsp_2(A))))) ) ) ) ) ) ).
fof(d3_cardfil3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_pcomps_1(k2_normsp_2(A)))) => k3_cardfil3(A, B)=B) ) ) ) ).
fof(t25_cardfil3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k3_pcomps_1(k2_normsp_2(A)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k3_pcomps_1(k2_normsp_2(A))))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_pcomps_1(k2_normsp_2(A)))) =>  (r2_tarski(C, k20_cardfil2(k3_pcomps_1(k2_normsp_2(A)), B)) <=>  (! [D] :  ( (v7_ordinal1(D) & v2_xxreal_0(D))  =>  (? [E] :  (v7_ordinal1(E) &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r1_xxreal_0(E, F) & r1_xxreal_0(k7_xcmplx_0(1, D), k2_normsp_0(A, k5_algstr_0(A, k3_cardfil3(A, C), k3_cardfil3(A, k1_normsp_0(k3_pcomps_1(k2_normsp_2(A)), B, F)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_cardfil3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  => m1_yellow13(k1_yellow19(A, k4_struct_0(A)), A, k4_struct_0(A))) ) ).
fof(t31_cardfil3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_yellow13(D, A, k4_struct_0(A)) =>  (r2_tarski(C, k20_cardfil2(A, B)) <=>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_tarski(E, k9_subset_1(u1_struct_0(k2_yellow_1(k2_struct_0(A))), D, k1_yellow19(A, k4_struct_0(A)))) &  (! [F] :  (v7_ordinal1(F) =>  (? [G] :  (v7_ordinal1(G) &  (r1_xxreal_0(F, G) &  ~ (r2_tarski(k1_normsp_0(A, B, G), k5_rusub_4(A, E, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_cardfil3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) & l1_orders_2(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_struct_0(B), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_struct_0(B), u1_struct_0(A))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v3_cardfil2(E, u1_struct_0(A), k13_cardfil2(A, k1_yellow19(A, D))) & m1_subset_1(E, k1_zfmisc_1(k13_cardfil2(A, k1_yellow19(A, D))))) )  =>  (v1_waybel_0(k2_struct_0(B), B) =>  (r2_tarski(D, k19_cardfil2(A, B, C)) <=>  (! [F] :  (m2_subset_1(F, k13_cardfil2(A, k1_yellow19(A, D)), E) =>  (? [G] :  (m1_subset_1(G, u1_struct_0(B)) &  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  (r3_orders_2(B, G, H) => r2_tarski(k1_funct_1(C, H), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_cardfil3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) & l1_orders_2(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_struct_0(B), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_struct_0(B), u1_struct_0(A))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_yellow13(E, A, k4_struct_0(A)) =>  (v1_waybel_0(k2_struct_0(B), B) =>  (r2_tarski(D, k19_cardfil2(A, B, C)) <=>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_tarski(F, k9_subset_1(u1_struct_0(k2_yellow_1(k2_struct_0(A))), E, k1_yellow19(A, k4_struct_0(A)))) &  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (? [H] :  (m1_subset_1(H, u1_struct_0(B)) &  (r3_orders_2(B, G, H) &  ~ (r2_tarski(k1_funct_1(C, H), k5_rusub_4(A, F, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_cardfil3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  (m1_subset_1(D, k5_finsub_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (E=k4_cardfil3(A, B, C, D) <=>  (? [F] :  ( (v2_funct_1(F) & m2_finseq_1(F, A))  &  (k10_xtuple_0(F)=D & E=k1_finsop_1(u1_struct_0(B), k1_cardfil3(A, u1_struct_0(B), C, F), u1_algstr_0(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_cardfil3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  (m1_subset_1(D, k5_finsub_1(A)) =>  (! [E] :  (m1_subset_1(E, k5_finsub_1(A)) =>  (E=k1_xboole_0 =>  (k4_cardfil3(A, B, C, E)=k4_struct_0(B) &  (! [F] :  (m1_subset_1(F, k5_finsub_1(A)) =>  (! [G] :  (m1_subset_1(G, k5_finsub_1(A)) =>  (r1_xboole_0(F, G) => k4_cardfil3(A, B, C, k5_setwiseo(A, F, G))=k3_rlvect_1(B, k4_cardfil3(A, B, C, F), k4_cardfil3(A, B, C, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_cardfil3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_struct_0(k2_cardfil3(A)), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_struct_0(k2_cardfil3(A)), u1_struct_0(B))))) )  =>  (D=k5_cardfil3(A, B, C) <=>  (! [E] :  (m1_subset_1(E, k5_finsub_1(A)) => k1_funct_1(D, E)=k4_cardfil3(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_cardfil3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v2_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l1_topgrp_1(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  (m1_subset_1(D, k5_finsub_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (E=k6_cardfil3(A, B, C, D) <=>  (? [F] :  ( (v2_funct_1(F) & m2_finseq_1(F, A))  &  (k10_xtuple_0(F)=D & E=k1_finsop_1(u1_struct_0(B), k1_cardfil3(A, u1_struct_0(B), C, F), u2_algstr_0(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_cardfil3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v2_group_1(B) &  (v3_group_1(B) & l1_topgrp_1(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_struct_0(k2_cardfil3(A)), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_struct_0(k2_cardfil3(A)), u1_struct_0(B))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v3_cardfil2(E, u1_struct_0(B), k13_cardfil2(B, k1_yellow19(B, D))) & m1_subset_1(E, k1_zfmisc_1(k13_cardfil2(B, k1_yellow19(B, D))))) )  =>  (r2_tarski(D, k19_cardfil2(B, k2_cardfil3(A), C)) <=>  (! [F] :  (m2_subset_1(F, k13_cardfil2(B, k1_yellow19(B, D)), E) =>  (? [G] :  (m1_subset_1(G, u1_struct_0(k2_cardfil3(A))) &  (! [H] :  (m1_subset_1(H, u1_struct_0(k2_cardfil3(A))) =>  (r3_orders_2(k2_cardfil3(A), G, H) => r2_tarski(k1_funct_1(C, H), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_cardfil3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v2_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l1_topgrp_1(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  (m1_subset_1(D, k5_finsub_1(A)) =>  (! [E] :  (m1_subset_1(E, k5_finsub_1(A)) =>  (E=k1_xboole_0 =>  (k6_cardfil3(A, B, C, E)=k1_group_1(B) &  (! [F] :  (m1_subset_1(F, k5_finsub_1(A)) =>  (! [G] :  (m1_subset_1(G, k5_finsub_1(A)) =>  (r1_xboole_0(F, G) => k6_cardfil3(A, B, C, k5_setwiseo(A, F, G))=k8_group_1(B, k6_cardfil3(A, B, C, F), k6_cardfil3(A, B, C, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_cardfil3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v2_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l1_topgrp_1(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_struct_0(k2_cardfil3(A)), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_struct_0(k2_cardfil3(A)), u1_struct_0(B))))) )  =>  (D=k7_cardfil3(A, B, C) <=>  (! [E] :  (m1_subset_1(E, k5_finsub_1(A)) => k1_funct_1(D, E)=k6_cardfil3(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_cardfil3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v2_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l1_topgrp_1(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v3_cardfil2(E, u1_struct_0(B), k13_cardfil2(B, k1_yellow19(B, D))) & m1_subset_1(E, k1_zfmisc_1(k13_cardfil2(B, k1_yellow19(B, D))))) )  =>  (r2_tarski(D, k19_cardfil2(B, k2_cardfil3(A), k7_cardfil3(A, B, C))) <=>  (! [F] :  (m2_subset_1(F, k13_cardfil2(B, k1_yellow19(B, D)), E) =>  (? [G] :  (m1_subset_1(G, u1_struct_0(k2_cardfil3(A))) &  (! [H] :  (m1_subset_1(H, u1_struct_0(k2_cardfil3(A))) =>  (r3_orders_2(k2_cardfil3(A), G, H) => r2_tarski(k1_funct_1(k7_cardfil3(A, B, C), H), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_cardfil3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v2_group_1a(B) & l1_group_1a(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  (m1_subset_1(D, k5_finsub_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (E=k8_cardfil3(A, B, C, D) <=>  (? [F] :  ( (v2_funct_1(F) & m2_finseq_1(F, A))  &  (k10_xtuple_0(F)=D & E=k1_finsop_1(u1_struct_0(B), k1_cardfil3(A, u1_struct_0(B), C, F), u1_algstr_0(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_cardfil3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v3_rlvect_1(B) &  (v2_group_1a(B) & l1_group_1a(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_struct_0(k2_cardfil3(A)), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_struct_0(k2_cardfil3(A)), u1_struct_0(B))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v3_cardfil2(E, u1_struct_0(B), k13_cardfil2(B, k1_yellow19(B, D))) & m1_subset_1(E, k1_zfmisc_1(k13_cardfil2(B, k1_yellow19(B, D))))) )  =>  (r2_tarski(D, k19_cardfil2(B, k2_cardfil3(A), C)) <=>  (! [F] :  (m2_subset_1(F, k13_cardfil2(B, k1_yellow19(B, D)), E) =>  (? [G] :  (m1_subset_1(G, u1_struct_0(k2_cardfil3(A))) &  (! [H] :  (m1_subset_1(H, u1_struct_0(k2_cardfil3(A))) =>  (r3_orders_2(k2_cardfil3(A), G, H) => r2_tarski(k1_funct_1(C, H), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_cardfil3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v2_group_1a(B) & l1_group_1a(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  (m1_subset_1(D, k5_finsub_1(A)) =>  (! [E] :  (m1_subset_1(E, k5_finsub_1(A)) =>  (E=k1_xboole_0 =>  (k8_cardfil3(A, B, C, E)=k1_group_1a(B) &  (! [F] :  (m1_subset_1(F, k5_finsub_1(A)) =>  (! [G] :  (m1_subset_1(G, k5_finsub_1(A)) =>  (r1_xboole_0(F, G) => k8_cardfil3(A, B, C, k5_setwiseo(A, F, G))=k3_rlvect_1(B, k8_cardfil3(A, B, C, F), k8_cardfil3(A, B, C, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_cardfil3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v2_group_1a(B) & l1_group_1a(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_struct_0(k2_cardfil3(A)), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_struct_0(k2_cardfil3(A)), u1_struct_0(B))))) )  =>  (D=k9_cardfil3(A, B, C) <=>  (! [E] :  (m1_subset_1(E, k5_finsub_1(A)) => k1_funct_1(D, E)=k8_cardfil3(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_cardfil3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v2_group_1a(B) & l1_group_1a(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v3_cardfil2(E, u1_struct_0(B), k13_cardfil2(B, k1_yellow19(B, D))) & m1_subset_1(E, k1_zfmisc_1(k13_cardfil2(B, k1_yellow19(B, D))))) )  =>  (r2_tarski(D, k19_cardfil2(B, k2_cardfil3(A), k9_cardfil3(A, B, C))) <=>  (! [F] :  (m2_subset_1(F, k13_cardfil2(B, k1_yellow19(B, D)), E) =>  (? [G] :  (m1_subset_1(G, u1_struct_0(k2_cardfil3(A))) &  (! [H] :  (m1_subset_1(H, u1_struct_0(k2_cardfil3(A))) =>  (r3_orders_2(k2_cardfil3(A), G, H) => r2_tarski(k1_funct_1(k9_cardfil3(A, B, C), H), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_cardfil3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  & m1_finseq_1(D, A)) )  => m2_finseq_1(k1_cardfil3(A, B, C, D), B)) ) ).
fof(dt_k2_cardfil3, axiom,  (! [A] :  ( ~ (v2_struct_0(k2_cardfil3(A)))  &  (v3_orders_2(k2_cardfil3(A)) &  (v4_orders_2(k2_cardfil3(A)) & l1_orders_2(k2_cardfil3(A))) ) ) ) ).
fof(dt_k3_cardfil3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(k3_pcomps_1(k2_normsp_2(A)))))  => m1_subset_1(k3_cardfil3(A, B), u1_struct_0(A))) ) ).
fof(dt_k4_cardfil3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  & m1_subset_1(D, k5_finsub_1(A))) ) )  => m1_subset_1(k4_cardfil3(A, B, C, D), u1_struct_0(B))) ) ).
fof(dt_k5_cardfil3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) ) ) )  =>  (v1_funct_1(k5_cardfil3(A, B, C)) &  (v1_funct_2(k5_cardfil3(A, B, C), k2_struct_0(k2_cardfil3(A)), u1_struct_0(B)) & m1_subset_1(k5_cardfil3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_struct_0(k2_cardfil3(A)), u1_struct_0(B))))) ) ) ) ).
fof(dt_k6_cardfil3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v2_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l1_topgrp_1(B)) ) ) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  & m1_subset_1(D, k5_finsub_1(A))) ) )  => m1_subset_1(k6_cardfil3(A, B, C, D), u1_struct_0(B))) ) ).
fof(dt_k7_cardfil3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v2_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l1_topgrp_1(B)) ) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) ) ) )  =>  (v1_funct_1(k7_cardfil3(A, B, C)) &  (v1_funct_2(k7_cardfil3(A, B, C), k2_struct_0(k2_cardfil3(A)), u1_struct_0(B)) & m1_subset_1(k7_cardfil3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_struct_0(k2_cardfil3(A)), u1_struct_0(B))))) ) ) ) ).
fof(dt_k8_cardfil3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v2_group_1a(B) & l1_group_1a(B)) ) ) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  & m1_subset_1(D, k5_finsub_1(A))) ) )  => m1_subset_1(k8_cardfil3(A, B, C, D), u1_struct_0(B))) ) ).
fof(dt_k9_cardfil3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v2_group_1a(B) & l1_group_1a(B)) ) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) ) ) )  =>  (v1_funct_1(k9_cardfil3(A, B, C)) &  (v1_funct_2(k9_cardfil3(A, B, C), k2_struct_0(k2_cardfil3(A)), u1_struct_0(B)) & m1_subset_1(k9_cardfil3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_struct_0(k2_cardfil3(A)), u1_struct_0(B))))) ) ) ) ).
fof(t16_cardfil3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_pcomps_1(k2_normsp_2(A)))) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(k2_normsp_2(A))) &  (C=B & k1_frechet(k2_normsp_2(A), B)=a_2_0_cardfil3(A, C)) ) ) ) ) ) ) ).
fof(t18_cardfil3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_normsp_2(A))) =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (C=k5_numbers)  => k8_metric_1(k2_normsp_2(A), B, k7_xcmplx_0(1, C))=a_3_0_cardfil3(A, B, C)) ) ) ) ) ) ) ).
fof(t19_cardfil3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_normsp_2(A))) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (C=k5_numbers)  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (B=D & k8_metric_1(k2_normsp_2(A), B, k7_xcmplx_0(1, C))=a_3_1_cardfil3(A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_cardfil3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_yellow13(B, A, k4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (D=a_3_2_cardfil3(A, B, C) => m1_yellow13(D, A, C)) ) ) ) ) ) ) ) ) ).
fof(t28_cardfil3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_yellow13(C, A, k4_struct_0(A)) => a_3_3_cardfil3(A, B, C)=a_3_4_cardfil3(A, B, C)) ) ) ) ) ) ).
fof(t29_cardfil3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_yellow13(C, A, k4_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (D=a_3_3_cardfil3(A, B, C) =>  ( ~ (v1_xboole_0(D))  &  (v3_cardfil2(D, u1_struct_0(A), k13_cardfil2(A, k1_yellow19(A, B))) & m1_subset_1(D, k1_zfmisc_1(k13_cardfil2(A, k1_yellow19(A, B))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_cardfil3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_yellow13(D, A, k4_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (E=a_3_3_cardfil3(A, C, D) =>  (r2_tarski(C, k20_cardfil2(A, B)) <=>  (! [F] :  (m1_subset_1(F, E) =>  (? [G] :  (v7_ordinal1(G) &  (! [H] :  (v7_ordinal1(H) =>  (r1_xxreal_0(G, H) => r2_tarski(k1_normsp_0(A, B, H), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_cardfil3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(C, u1_struct_0(k2_normsp_2(B))))  =>  (r2_hidden(A, a_2_0_cardfil3(B, C)) <=>  (? [D] :  (v7_ordinal1(D) &  (A=k8_metric_1(k2_normsp_2(B), C, k7_xcmplx_0(1, D)) &  ~ (D=k5_numbers) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_cardfil3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(k2_normsp_2(B))) & v7_ordinal1(D)) )  =>  (r2_hidden(A, a_3_0_cardfil3(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(k2_normsp_2(B))) &  (A=E &  ~ (r1_xxreal_0(k7_xcmplx_0(1, D), k3_metric_1(k2_normsp_2(B), C, E))) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_cardfil3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (v7_ordinal1(C) & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_1_cardfil3(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E &  ~ (r1_xxreal_0(k7_xcmplx_0(1, C), k2_normsp_0(B, k5_algstr_0(B, D, E)))) ) ) ) ) ) ) ).
fof(fraenkel_a_3_2_cardfil3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v6_rltopsp1(B) &  (v7_rltopsp1(B) & l1_rltopsp1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_yellow13(C, B, k4_struct_0(B)) & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_2_cardfil3(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) &  (A=k5_rusub_4(B, E, D) & r2_tarski(E, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_3_cardfil3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v6_rltopsp1(B) &  (v7_rltopsp1(B) & l1_rltopsp1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) & m1_yellow13(D, B, k4_struct_0(B))) )  =>  (r2_hidden(A, a_3_3_cardfil3(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) &  (A=k5_rusub_4(B, E, C) &  (r2_tarski(E, D) & m1_connsp_2(E, B, k4_struct_0(B))) ) ) ) ) ) ) ).
fof(fraenkel_a_3_4_cardfil3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v6_rltopsp1(B) &  (v7_rltopsp1(B) & l1_rltopsp1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) & m1_yellow13(D, B, k4_struct_0(B))) )  =>  (r2_hidden(A, a_3_4_cardfil3(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) &  (A=k5_rusub_4(B, E, C) &  (r2_tarski(E, D) & r2_tarski(E, k1_yellow19(B, k4_struct_0(B)))) ) ) ) ) ) ) ).
fof(fc1_cardfil4, axiom, v4_card_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1))).
fof(fc2_cardfil4, axiom, v5_card_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1))).
fof(fc3_cardfil4, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ (v1_xboole_0(k4_cardfil4(A))) ) ) ).
fof(t1_cardfil4, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(A)))  =>  (r1_tarski(k6_subset_1(A, C), B) => v1_finset_1(k6_subset_1(A, B))) ) ) ) ) ).
fof(t2_cardfil4, axiom,  (! [A] :  (! [B] :  ~ ( (r1_tarski(B, A) &  (v1_finset_1(k6_subset_1(A, B)) &  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(A)))  =>  ~ (k6_subset_1(A, C)=B) ) ) ) ) ) ) ) ).
fof(t4_cardfil4, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_hidden(A, k2_zfmisc_1(B, C)) => v1_xtuple_0(A)) ) ) ) ).
fof(t5_cardfil4, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_ordinal1))  &  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (v8_ordinal1(B))  &  ~ (r1_xxreal_0(A, k7_xcmplx_0(1, B))) ) ) ) ) ) ) ) ) ).
fof(t6_cardfil4, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k7_metric_1)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k7_metric_1)) =>  (? [C] :  (v1_xreal_0(C) &  (? [D] :  (v1_xreal_0(D) &  (A=C &  (B=D &  (k3_metric_1(k7_metric_1, A, B)=k1_binop_1(k6_metric_1, A, B) &  (k3_metric_1(k7_metric_1, A, B)=k2_binop_1(k1_euclid(1), k1_euclid(1), k1_numbers, k13_euclid(1), k24_srings_5(A), k24_srings_5(B)) & k3_metric_1(k7_metric_1, A, B)=k9_complex1(k6_xcmplx_0(C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_cardfil4, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k3_pcomps_1(k14_euclid(1)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_pcomps_1(k14_euclid(1)))) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(k7_metric_1)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(k7_metric_1)) &  (? [E] :  (v1_xreal_0(E) &  (? [F] :  (v1_xreal_0(F) &  (C=E &  (D=F &  (A=k24_srings_5(E) &  (B=k24_srings_5(F) &  (k3_metric_1(k7_metric_1, C, D)=k1_binop_1(k6_metric_1, E, F) &  (k3_metric_1(k7_metric_1, C, D)=k2_binop_1(k1_euclid(1), k1_euclid(1), k1_numbers, k13_euclid(1), k24_srings_5(E), k24_srings_5(F)) & k3_metric_1(k7_metric_1, C, D)=k9_complex1(k6_xcmplx_0(E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_cardfil4, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k14_euclid(1))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k14_euclid(1))) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (A=k24_srings_5(C) & B=k24_srings_5(D))  => k3_metric_1(k14_euclid(1), A, B)=k9_complex1(k6_xcmplx_0(C, D))) ) ) ) ) ) ) ) ) ).
fof(t10_cardfil4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(A, C) & r1_xxreal_0(B, D))  => r1_relset_1(k4_ordinal1, k4_ordinal1, k8_mcart_1(k4_ordinal1, k4_ordinal1, k5_card_1(A), k5_card_1(B)), k8_mcart_1(k4_ordinal1, k4_ordinal1, k5_card_1(C), k5_card_1(D)))) ) ) ) ) ) ) ) ) ).
fof(t11_cardfil4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => r1_relset_1(k4_ordinal1, k4_ordinal1, k8_mcart_1(k4_ordinal1, k4_ordinal1, k6_subset_1(k4_ordinal1, k5_card_1(A)), k6_subset_1(k4_ordinal1, k5_card_1(B))), k6_subset_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k8_mcart_1(k4_ordinal1, k4_ordinal1, k5_card_1(A), k5_card_1(B))))) ) ) ) ).
fof(t12_cardfil4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k11_dickson)) =>  ( (B=C & r1_xxreal_0(B, A))  => r2_tarski(A, k6_waybel_0(k11_dickson, C))) ) ) ) ) ) ) ).
fof(t13_cardfil4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k11_dickson)) =>  ( (B=C & r2_tarski(A, k6_waybel_0(k11_dickson, C)))  => r1_xxreal_0(B, A)) ) ) ) ) ) ) ).
fof(t14_cardfil4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k11_dickson)) =>  (A=B => k6_waybel_0(k11_dickson, B)=k6_subset_1(k4_ordinal1, k5_card_1(A))) ) ) ) ) ).
fof(t17_cardfil4, axiom,  (! [A] :  ( (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1))))  =>  (? [B] :  (v7_ordinal1(B) &  (? [C] :  (v7_ordinal1(C) & r1_relset_1(k4_ordinal1, k4_ordinal1, A, k8_mcart_1(k4_ordinal1, k4_ordinal1, k5_card_1(B), k5_card_1(C)))) ) ) ) ) ) ).
fof(t18_cardfil4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_card_fil(B, A) =>  ( ~ (v1_xboole_0(B))  &  (v1_subset_1(B, u1_struct_0(k2_yellow_1(A))) &  (v2_waybel_0(B, k2_yellow_1(A)) &  (v13_waybel_0(B, k2_yellow_1(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k2_yellow_1(A))))) ) ) ) ) ) ) ) ).
fof(t19_cardfil4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_card_fil(B, A) =>  (? [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_setfam_1(C) &  (v4_cardfil2(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (C=B & k5_cardfil2(A, C)=B) ) ) ) ) ) ) ).
fof(t20_cardfil4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (m1_card_fil(C, u1_struct_0(B)) =>  (r2_hidden(A, k14_cardfil2(B, C)) => r1_waybel_7(B, C, A)) ) ) ) ) ) ).
fof(t21_cardfil4, axiom,  (! [A] :  (m2_subset_1(A, k1_zfmisc_1(k4_ordinal1), k11_cardfil2) =>  (? [B] :  (v7_ordinal1(B) & A=k6_subset_1(k4_ordinal1, k5_card_1(B))) ) ) ) ).
fof(t22_cardfil4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k4_ordinal1)) =>  (B=k6_subset_1(k4_ordinal1, k5_card_1(A)) => m2_subset_1(B, k1_zfmisc_1(k4_ordinal1), k11_cardfil2)) ) ) ) ) ).
fof(t23_cardfil4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_setfam_1(C) &  (v4_cardfil2(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_setfam_1(D) &  (v4_cardfil2(D, A) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v1_setfam_1(E) &  (v4_cardfil2(E, B) & m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  &  (v1_setfam_1(F) &  (v4_cardfil2(F, B) & m1_subset_1(F, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [G] :  (m1_card_fil(G, A) =>  (! [H] :  (m1_card_fil(H, B) =>  ( (G=k5_cardfil2(A, D) &  (G=k5_cardfil2(A, C) &  (H=k5_cardfil2(B, F) & H=k5_cardfil2(B, E)) ) )  => k5_cardfil2(k2_zfmisc_1(A, B), k1_cardfil4(A, B, D, F))=k5_cardfil2(k2_zfmisc_1(A, B), k1_cardfil4(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_cardfil4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_setfam_1(B) &  (v4_cardfil2(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_card_fil(C, A) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v3_cardfil2(D, A, C) & m1_subset_1(D, k1_zfmisc_1(C))) )  =>  (D=B => k3_cardfil2(A, B)=C) ) ) ) ) ) ) ) ) ).
fof(t25_cardfil4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_card_fil(B, A) =>  (? [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_setfam_1(C) &  (v4_cardfil2(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  & k5_cardfil2(A, C)=B) ) ) ) ) ) ).
fof(d2_cardfil4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_card_fil(C, A) =>  (! [D] :  (m1_card_fil(D, B) =>  (! [E] :  (m1_card_fil(E, k2_zfmisc_1(A, B)) =>  (E=k2_cardfil4(A, B, C, D) <=>  (? [F] :  ( ( ~ (v1_xboole_0(F))  &  (v1_setfam_1(F) &  (v4_cardfil2(F, A) & m1_subset_1(F, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (? [G] :  ( ( ~ (v1_xboole_0(G))  &  (v1_setfam_1(G) &  (v4_cardfil2(G, B) & m1_subset_1(G, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  (k5_cardfil2(A, F)=C &  (k5_cardfil2(B, G)=D & E=k5_cardfil2(k2_zfmisc_1(A, B), k1_cardfil4(A, B, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_cardfil4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_card_fil(C, A) =>  (! [D] :  (m1_card_fil(D, B) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v3_cardfil2(E, A, C) & m1_subset_1(E, k1_zfmisc_1(C))) )  =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  &  (v3_cardfil2(F, B, D) & m1_subset_1(F, k1_zfmisc_1(D))) )  =>  (! [G] :  ( ( ~ (v1_xboole_0(G))  &  (v3_cardfil2(G, k2_zfmisc_1(A, B), k2_cardfil4(A, B, C, D)) & m1_subset_1(G, k1_zfmisc_1(k2_cardfil4(A, B, C, D)))) )  =>  (G=k3_cardfil4(A, B, C, D, E, F) <=>  (? [H] :  ( ( ~ (v1_xboole_0(H))  &  (v1_setfam_1(H) &  (v4_cardfil2(H, A) & m1_subset_1(H, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (? [I] :  ( ( ~ (v1_xboole_0(I))  &  (v1_setfam_1(I) &  (v4_cardfil2(I, B) & m1_subset_1(I, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  (E=H &  (F=I & G=k1_cardfil4(A, B, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_cardfil4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1))) =>  (B=k4_cardfil4(A) <=>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(k4_ordinal1, k4_ordinal1)) =>  (r2_tarski(C, B) <=>  (? [D] :  (v7_ordinal1(D) &  (? [E] :  (v7_ordinal1(E) &  (D=k2_domain_1(k4_ordinal1, k4_ordinal1, C) &  (E=k3_domain_1(k4_ordinal1, k4_ordinal1, C) &  (r1_xxreal_0(A, D) & r1_xxreal_0(A, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_cardfil4, axiom,  (! [A] :  (v7_ordinal1(A) => r2_hidden(k4_tarski(A, A), k4_cardfil4(A))) ) ).
fof(t27_cardfil4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_hidden(k4_tarski(A, B), k4_cardfil4(E)) =>  (r2_hidden(k4_tarski(k2_xcmplx_0(A, C), B), k4_cardfil4(E)) & r2_hidden(k4_tarski(A, k2_xcmplx_0(B, D)), k4_cardfil4(E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_cardfil4, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (v1_finset_1(k4_cardfil4(A)))  & m1_subset_1(k4_cardfil4(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) ) ).
fof(t29_cardfil4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k11_dickson)) =>  (B=A => k4_cardfil4(A)=k8_mcart_1(u1_struct_0(k11_dickson), u1_struct_0(k11_dickson), k6_waybel_0(k11_dickson, B), k6_waybel_0(k11_dickson, B))) ) ) ) ) ).
fof(t30_cardfil4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (A=k6_xcmplx_0(B, 1) => r1_relset_1(k4_ordinal1, k4_ordinal1, k4_cardfil4(B), k6_subset_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k8_mcart_1(k4_ordinal1, k4_ordinal1, k2_finseq_1(A), k2_finseq_1(A))))) ) ) ) ) ).
fof(t31_cardfil4, axiom,  (! [A] :  (v7_ordinal1(A) => r1_relset_1(k4_ordinal1, k4_ordinal1, k4_cardfil4(A), k6_subset_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k8_mcart_1(k4_ordinal1, k4_ordinal1, k5_card_1(A), k5_card_1(A))))) ) ).
fof(t32_cardfil4, axiom,  (! [A] :  (v7_ordinal1(A) => r2_relset_1(k4_ordinal1, k4_ordinal1, k4_cardfil4(A), k8_mcart_1(k4_ordinal1, k4_ordinal1, k6_subset_1(k4_ordinal1, k5_card_1(A)), k6_subset_1(k4_ordinal1, k5_card_1(A))))) ) ).
fof(t33_cardfil4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (? [C] :  (v7_ordinal1(C) & r1_relset_1(k4_ordinal1, k4_ordinal1, k4_cardfil4(C), k8_mcart_1(k4_ordinal1, k4_ordinal1, k6_subset_1(k4_ordinal1, k5_card_1(A)), k6_subset_1(k4_ordinal1, k5_card_1(B))))) ) ) ) ) ) ).
fof(t34_cardfil4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (C=k4_xxreal_0(A, B) => r1_relset_1(k4_ordinal1, k4_ordinal1, k4_cardfil4(C), k9_subset_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_cardfil4(A), k4_cardfil4(B)))) ) ) ) ) ) ) ).
fof(d5_cardfil4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1))) =>  (B=k5_cardfil4(A) <=>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(k4_ordinal1, k4_ordinal1)) =>  (r2_tarski(C, B) <=>  (? [D] :  (v7_ordinal1(D) &  (? [E] :  (v7_ordinal1(E) &  (D=k2_domain_1(k4_ordinal1, k4_ordinal1, C) &  (E=k3_domain_1(k4_ordinal1, k4_ordinal1, C) &  ( ~ (r1_xxreal_0(A, D))  &  ~ (r1_xxreal_0(A, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_cardfil4, axiom,  (! [A] :  (v7_ordinal1(A) => r2_relset_1(k4_ordinal1, k4_ordinal1, k5_cardfil4(A), k8_mcart_1(k4_ordinal1, k4_ordinal1, k5_card_1(A), k5_card_1(A)))) ) ).
fof(t36_cardfil4, axiom,  (! [A] :  ( (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1))))  =>  (? [B] :  (v7_ordinal1(B) & r1_relset_1(k4_ordinal1, k4_ordinal1, A, k5_cardfil4(B))) ) ) ) ).
fof(t37_cardfil4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_finset_1(k5_cardfil4(A)) & m1_subset_1(k5_cardfil4(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) ) ).
fof(t38_cardfil4, axiom,  (! [A] :  (m2_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)), k1_cardfil4(k4_ordinal1, k4_ordinal1, k11_cardfil2, k11_cardfil2)) =>  (? [B] :  (v7_ordinal1(B) &  (? [C] :  (v7_ordinal1(C) & r2_relset_1(k4_ordinal1, k4_ordinal1, A, k8_mcart_1(k4_ordinal1, k4_ordinal1, k6_subset_1(k4_ordinal1, k5_card_1(B)), k6_subset_1(k4_ordinal1, k5_card_1(C))))) ) ) ) ) ) ).
fof(t39_cardfil4, axiom,  (! [A] :  (m2_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)), k1_cardfil4(k4_ordinal1, k4_ordinal1, k11_cardfil2, k11_cardfil2)) =>  (? [B] :  (v7_ordinal1(B) & r1_relset_1(k4_ordinal1, k4_ordinal1, k4_cardfil4(B), A)) ) ) ) ).
fof(t40_cardfil4, axiom,  ( ~ (v1_xboole_0(k1_cardfil4(k4_ordinal1, k4_ordinal1, k11_cardfil2, k11_cardfil2)))  &  (v1_setfam_1(k1_cardfil4(k4_ordinal1, k4_ordinal1, k11_cardfil2, k11_cardfil2)) &  (v4_cardfil2(k1_cardfil4(k4_ordinal1, k4_ordinal1, k11_cardfil2, k11_cardfil2), k2_zfmisc_1(k4_ordinal1, k4_ordinal1)) & m1_subset_1(k1_cardfil4(k4_ordinal1, k4_ordinal1, k11_cardfil2, k11_cardfil2), k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1))))) ) ) ).
fof(t41_cardfil4, axiom,  (? [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_cardfil2(A, k4_ordinal1, k4_card_fil(k4_ordinal1)) & m1_subset_1(A, k1_zfmisc_1(k4_card_fil(k4_ordinal1)))) )  &  (A=k11_cardfil2 &  ( ~ (v1_xboole_0(k3_cardfil4(k4_ordinal1, k4_ordinal1, k4_card_fil(k4_ordinal1), k4_card_fil(k4_ordinal1), A, A)))  &  (v3_cardfil2(k3_cardfil4(k4_ordinal1, k4_ordinal1, k4_card_fil(k4_ordinal1), k4_card_fil(k4_ordinal1), A, A), k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k2_cardfil4(k4_ordinal1, k4_ordinal1, k4_card_fil(k4_ordinal1), k4_card_fil(k4_ordinal1))) & m1_subset_1(k3_cardfil4(k4_ordinal1, k4_ordinal1, k4_card_fil(k4_ordinal1), k4_card_fil(k4_ordinal1), A, A), k1_zfmisc_1(k2_cardfil4(k4_ordinal1, k4_ordinal1, k4_card_fil(k4_ordinal1), k4_card_fil(k4_ordinal1))))) ) ) ) ) ).
fof(t42_cardfil4, axiom, r3_cardfil2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_cardfil4, k1_cardfil4(k4_ordinal1, k4_ordinal1, k11_cardfil2, k11_cardfil2))).
fof(t43_cardfil4, axiom, k5_cardfil2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_cardfil4(k4_ordinal1, k4_ordinal1, k11_cardfil2, k11_cardfil2))=k2_cardfil4(k4_ordinal1, k4_ordinal1, k4_card_fil(k4_ordinal1), k4_card_fil(k4_ordinal1))).
fof(t44_cardfil4, axiom, k5_cardfil2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_cardfil4)=k2_cardfil4(k4_ordinal1, k4_ordinal1, k4_card_fil(k4_ordinal1), k4_card_fil(k4_ordinal1))).
fof(t45_cardfil4, axiom, r2_cardfil2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k2_cardfil4(k4_ordinal1, k4_ordinal1, k4_card_fil(k4_ordinal1), k4_card_fil(k4_ordinal1)), k4_card_fil(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))).
fof(t47_cardfil4, axiom,  ~ (k4_card_fil(k2_zfmisc_1(k4_ordinal1, k4_ordinal1))=k2_cardfil4(k4_ordinal1, k4_ordinal1, k4_card_fil(k4_ordinal1), k4_card_fil(k4_ordinal1))) ).
fof(t48_cardfil4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_card_fil(B, u1_struct_0(A)) =>  (! [C] :  (m1_card_fil(C, u1_struct_0(A)) =>  (r2_cardfil2(u1_struct_0(A), C, B) => r1_tarski(k14_cardfil2(A, B), k14_cardfil2(A, C))) ) ) ) ) ) ) ).
fof(t49_cardfil4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  (m1_card_fil(D, A) =>  (! [E] :  (m1_card_fil(E, A) =>  (r2_cardfil2(A, E, D) => r2_cardfil2(B, k6_cardfil2(A, B, C, E), k6_cardfil2(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_cardfil4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(k8_relat_1(B, C), k4_card_fil(k2_zfmisc_1(k4_ordinal1, k4_ordinal1))) <=>  (? [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1))))  & k8_relat_1(B, C)=k6_subset_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), D)) ) ) ) ) ) ) ) ) ).
fof(t51_cardfil4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(k8_relat_1(B, C), k2_cardfil4(k4_ordinal1, k4_ordinal1, k4_card_fil(k4_ordinal1), k4_card_fil(k4_ordinal1))) <=>  (? [D] :  (v7_ordinal1(D) & r1_relset_1(k4_ordinal1, k4_ordinal1, k4_cardfil4(D), k8_relat_1(B, C))) ) ) ) ) ) ) ) ) ).
fof(t54_cardfil4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, k18_cardfil2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A, B, k4_card_fil(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) <=>  (! [D] :  (m1_connsp_2(D, A, C) =>  (? [E] :  ( (v1_finset_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1))))  & k8_relat_1(B, D)=k6_subset_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_cardfil4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, k18_cardfil2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A, B, k4_card_fil(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) <=>  (! [D] :  (m1_connsp_2(D, A, C) => v1_finset_1(k6_subset_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k8_relat_1(B, D)))) ) ) ) ) ) ) ) ) ).
fof(t56_cardfil4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, k18_cardfil2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A, B, k2_cardfil4(k4_ordinal1, k4_ordinal1, k4_card_fil(k4_ordinal1), k4_card_fil(k4_ordinal1)))) <=>  (! [D] :  (m1_connsp_2(D, A, C) =>  (? [E] :  (v7_ordinal1(E) & r1_relset_1(k4_ordinal1, k4_ordinal1, k4_cardfil4(E), k8_relat_1(B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_cardfil4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v3_cardfil2(D, u1_struct_0(A), k13_cardfil2(A, k1_yellow19(A, C))) & m1_subset_1(D, k1_zfmisc_1(k13_cardfil2(A, k1_yellow19(A, C))))) )  =>  (r2_tarski(C, k18_cardfil2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A, B, k2_cardfil4(k4_ordinal1, k4_ordinal1, k4_card_fil(k4_ordinal1), k4_card_fil(k4_ordinal1)))) <=>  (! [E] :  (m2_subset_1(E, k13_cardfil2(A, k1_yellow19(A, C)), D) =>  (? [F] :  (v7_ordinal1(F) & r1_relset_1(k4_ordinal1, k4_ordinal1, k4_cardfil4(F), k8_relat_1(B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_cardfil4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v3_cardfil2(D, u1_struct_0(A), k13_cardfil2(A, k1_yellow19(A, C))) & m1_subset_1(D, k1_zfmisc_1(k13_cardfil2(A, k1_yellow19(A, C))))) )  =>  (r2_tarski(C, k18_cardfil2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A, B, k4_card_fil(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) <=>  (! [E] :  (m2_subset_1(E, k13_cardfil2(A, k1_yellow19(A, C)), D) =>  (? [F] :  ( (v1_finset_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1))))  & k8_relat_1(B, E)=k6_subset_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_cardfil4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v3_cardfil2(D, u1_struct_0(A), k13_cardfil2(A, k1_yellow19(A, C))) & m1_subset_1(D, k1_zfmisc_1(k13_cardfil2(A, k1_yellow19(A, C))))) )  =>  (r2_tarski(C, k18_cardfil2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A, B, k2_cardfil4(k4_ordinal1, k4_ordinal1, k4_card_fil(k4_ordinal1), k4_card_fil(k4_ordinal1)))) <=>  (! [E] :  (m2_subset_1(E, k13_cardfil2(A, k1_yellow19(A, C)), D) =>  (? [F] :  (v7_ordinal1(F) & r1_tarski(k7_relat_1(B, k4_cardfil4(F)), E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_cardfil4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v3_cardfil2(D, u1_struct_0(A), k13_cardfil2(A, k1_yellow19(A, C))) & m1_subset_1(D, k1_zfmisc_1(k13_cardfil2(A, k1_yellow19(A, C))))) )  =>  (r2_tarski(C, k18_cardfil2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A, B, k4_card_fil(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) <=>  (! [E] :  (m2_subset_1(E, k13_cardfil2(A, k1_yellow19(A, C)), D) =>  (? [F] :  ( (v1_finset_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1))))  & r1_tarski(k7_relat_1(B, k6_subset_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), F)), E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_cardfil4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v3_cardfil2(D, u1_struct_0(A), k13_cardfil2(A, k1_yellow19(A, C))) & m1_subset_1(D, k1_zfmisc_1(k13_cardfil2(A, k1_yellow19(A, C))))) )  =>  (r2_tarski(C, k18_cardfil2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A, B, k4_card_fil(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) <=>  (! [E] :  (m2_subset_1(E, k13_cardfil2(A, k1_yellow19(A, C)), D) =>  (? [F] :  (v7_ordinal1(F) &  (? [G] :  (v7_ordinal1(G) & r1_tarski(k7_relat_1(B, k6_subset_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k8_mcart_1(k4_ordinal1, k4_ordinal1, k5_card_1(F), k5_card_1(G)))), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_cardfil4, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_pre_topc(C) & l1_pre_topc(C)) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(C))))) )  =>  (r2_hidden(A, k7_relat_1(D, k4_cardfil4(B))) <=>  (? [E] :  (v7_ordinal1(E) &  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(B, E) &  (r1_xxreal_0(B, F) & A=k1_binop_1(D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_cardfil4, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v2_pre_topc(D) & l1_pre_topc(D)) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(D))))) )  =>  (r2_hidden(A, k7_relat_1(E, k6_subset_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k8_mcart_1(k4_ordinal1, k4_ordinal1, k5_card_1(B), k5_card_1(C))))) <=>  (? [F] :  (v7_ordinal1(F) &  (? [G] :  (v7_ordinal1(G) &  ( (r1_xxreal_0(B, F) | r1_xxreal_0(C, G))  & A=k1_binop_1(E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_cardfil4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v3_cardfil2(D, u1_struct_0(A), k13_cardfil2(A, k1_yellow19(A, C))) & m1_subset_1(D, k1_zfmisc_1(k13_cardfil2(A, k1_yellow19(A, C))))) )  =>  (r2_tarski(C, k18_cardfil2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A, B, k2_cardfil4(k4_ordinal1, k4_ordinal1, k4_card_fil(k4_ordinal1), k4_card_fil(k4_ordinal1)))) <=>  (! [E] :  (m2_subset_1(E, k13_cardfil2(A, k1_yellow19(A, C)), D) =>  (? [F] :  (v7_ordinal1(F) &  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (v7_ordinal1(H) =>  ( (r1_xxreal_0(F, G) & r1_xxreal_0(F, H))  => r2_tarski(k1_binop_1(B, G, H), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_cardfil4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v3_cardfil2(D, u1_struct_0(A), k13_cardfil2(A, k1_yellow19(A, C))) & m1_subset_1(D, k1_zfmisc_1(k13_cardfil2(A, k1_yellow19(A, C))))) )  =>  (r2_tarski(C, k18_cardfil2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A, B, k4_card_fil(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) <=>  (! [E] :  (m2_subset_1(E, k13_cardfil2(A, k1_yellow19(A, C)), D) =>  (? [F] :  (v7_ordinal1(F) &  (? [G] :  (v7_ordinal1(G) &  (! [H] :  (v7_ordinal1(H) =>  (! [I] :  (v7_ordinal1(I) =>  ( (r1_xxreal_0(F, H) | r1_xxreal_0(G, I))  => r2_tarski(k1_binop_1(B, H, I), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_cardfil4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(A))))) )  => r1_tarski(k18_cardfil2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A, B, k4_card_fil(k2_zfmisc_1(k4_ordinal1, k4_ordinal1))), k18_cardfil2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A, B, k5_cardfil2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_cardfil4)))) ) ) ) ).
fof(d7_cardfil4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  => k7_cardfil4(A)=A) ) ).
fof(t71_cardfil4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (r2_hidden(A, k18_cardfil2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k3_topmetr, k7_cardfil4(B), k2_cardfil4(k4_ordinal1, k4_ordinal1, k4_card_fil(k4_ordinal1), k4_card_fil(k4_ordinal1)))) <=>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (? [D] :  (v7_ordinal1(D) &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r1_xxreal_0(D, E) &  (r1_xxreal_0(D, F) & r1_xxreal_0(k7_xcmplx_0(1, C), k9_complex1(k6_xcmplx_0(k1_binop_1(B, E, F), A)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t72_cardfil4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  ~ ( ( ~ (k18_cardfil2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k3_topmetr, k7_cardfil4(A), k2_cardfil4(k4_ordinal1, k4_ordinal1, k4_card_fil(k4_ordinal1), k4_card_fil(k4_ordinal1)))=k1_xboole_0)  &  (! [B] :  (v1_xreal_0(B) =>  ~ (k18_cardfil2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k3_topmetr, k7_cardfil4(A), k2_cardfil4(k4_ordinal1, k4_ordinal1, k4_card_fil(k4_ordinal1), k4_card_fil(k4_ordinal1)))=k1_tarski(B)) ) ) ) ) ) ) ).
fof(t73_cardfil4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v1_dblseq_1(A) => r2_hidden(k1_dblseq_1(A), k18_cardfil2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k3_topmetr, k7_cardfil4(A), k2_cardfil4(k4_ordinal1, k4_ordinal1, k4_card_fil(k4_ordinal1), k4_card_fil(k4_ordinal1))))) ) ) ).
fof(t74_cardfil4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v1_dblseq_1(A) <=>  ~ (k18_cardfil2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k3_topmetr, k7_cardfil4(A), k2_cardfil4(k4_ordinal1, k4_ordinal1, k4_card_fil(k4_ordinal1), k4_card_fil(k4_ordinal1)))=k1_xboole_0) ) ) ) ).
fof(t75_cardfil4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v1_dblseq_1(A) => k1_tarski(k1_dblseq_1(A))=k18_cardfil2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k3_topmetr, k7_cardfil4(A), k2_cardfil4(k4_ordinal1, k4_ordinal1, k4_card_fil(k4_ordinal1), k4_card_fil(k4_ordinal1)))) ) ) ).
fof(t76_cardfil4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  ( ~ (v1_xboole_0(k18_cardfil2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k3_topmetr, k7_cardfil4(A), k2_cardfil4(k4_ordinal1, k4_ordinal1, k4_card_fil(k4_ordinal1), k4_card_fil(k4_ordinal1)))))  =>  (v1_dblseq_1(A) & k1_tarski(k1_dblseq_1(A))=k18_cardfil2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k3_topmetr, k7_cardfil4(A), k2_cardfil4(k4_ordinal1, k4_ordinal1, k4_card_fil(k4_ordinal1), k4_card_fil(k4_ordinal1)))) ) ) ) ).
fof(d8_cardfil4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (A=k8_cardfil4 <=>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k1_binop_1(A, B, C)=k7_xcmplx_0(1, k1_nat_1(B, 1))) ) ) ) ) ) ) ).
fof(t77_cardfil4, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (? [B] :  (v7_ordinal1(B) &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(B, C) &  (r1_xxreal_0(B, D) & r1_xxreal_0(k7_xcmplx_0(1, A), k9_complex1(k6_xcmplx_0(k1_binop_1(k8_cardfil4, C, D), k5_ordinal1)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t78_cardfil4, axiom, r2_tarski(k5_ordinal1, k18_cardfil2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k3_topmetr, k7_cardfil4(k8_cardfil4), k2_cardfil4(k4_ordinal1, k4_ordinal1, k4_card_fil(k4_ordinal1), k4_card_fil(k4_ordinal1))))).
fof(t79_cardfil4, axiom, k18_cardfil2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k3_topmetr, k7_cardfil4(k8_cardfil4), k4_card_fil(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))=k1_xboole_0).
fof(t80_cardfil4, axiom,  ~ (k18_cardfil2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k3_topmetr, k7_cardfil4(k8_cardfil4), k2_cardfil4(k4_ordinal1, k4_ordinal1, k4_card_fil(k4_ordinal1), k4_card_fil(k4_ordinal1)))=k18_cardfil2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k3_topmetr, k7_cardfil4(k8_cardfil4), k4_card_fil(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ).
fof(d9_cardfil4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_card_fil(C, A) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v2_pre_topc(D) &  (v8_pre_topc(D) & l1_pre_topc(D)) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, B), u1_struct_0(D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), u1_struct_0(D))))) )  =>  ( (! [F] :  (m1_subset_1(F, B) =>  ~ (k18_cardfil2(A, D, k6_mesfunc9(A, B, u1_struct_0(D), E, F), C)=k1_xboole_0) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, B, u1_struct_0(D)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(D))))) )  =>  (F=k9_cardfil4(A, B, C, D, E) <=>  (! [G] :  (m1_subset_1(G, B) => k6_domain_1(u1_struct_0(D), k3_funct_2(B, u1_struct_0(D), F, G))=k18_cardfil2(A, D, k6_mesfunc9(A, B, u1_struct_0(D), E, G), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_cardfil4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_card_fil(C, B) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v2_pre_topc(D) &  (v8_pre_topc(D) & l1_pre_topc(D)) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, B), u1_struct_0(D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), u1_struct_0(D))))) )  =>  ( (! [F] :  (m1_subset_1(F, A) =>  ~ (k18_cardfil2(B, D, k5_mesfunc9(A, B, u1_struct_0(D), E, F), C)=k1_xboole_0) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, u1_struct_0(D)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(D))))) )  =>  (F=k10_cardfil4(A, B, C, D, E) <=>  (! [G] :  (m1_subset_1(G, A) => k6_domain_1(u1_struct_0(D), k3_funct_2(A, u1_struct_0(D), F, G))=k18_cardfil2(B, D, k5_mesfunc9(A, B, u1_struct_0(D), E, G), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t81_cardfil4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, A, u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k3_topmetr))))) ) ) ) ) ) ).
fof(t82_cardfil4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k3_topmetr)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k3_topmetr))))) ) ) ) ).
fof(t83_cardfil4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_struct_0(k11_dickson), u1_struct_0(k3_topmetr)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_struct_0(k11_dickson), u1_struct_0(k3_topmetr))))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (r1_funct_2(k2_struct_0(k11_dickson), u1_struct_0(k3_topmetr), k4_ordinal1, k1_numbers, A, B) =>  (k19_cardfil2(k3_topmetr, k11_dickson, A)=k1_xboole_0 |  (v2_comseq_2(B) &  (? [C] :  (v1_xreal_0(C) &  (r2_hidden(C, k19_cardfil2(k3_topmetr, k11_dickson, A)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_ordinal1))  &  (! [E] :  (v7_ordinal1(E) =>  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(E, F) & r1_xxreal_0(D, k9_complex1(k6_xcmplx_0(k8_nat_1(k1_numbers, B, F), C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t84_cardfil4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_struct_0(k11_dickson), u1_struct_0(k3_topmetr)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_struct_0(k11_dickson), u1_struct_0(k3_topmetr))))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (r1_funct_2(k2_struct_0(k11_dickson), u1_struct_0(k3_topmetr), k4_ordinal1, k1_numbers, A, B) =>  (k19_cardfil2(k3_topmetr, k11_dickson, A)=k1_xboole_0 | k19_cardfil2(k3_topmetr, k11_dickson, A)=k1_tarski(k1_seq_2(B))) ) ) ) ) ) ).
fof(t85_cardfil4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_struct_0(k11_dickson), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_struct_0(k11_dickson), u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (r1_funct_2(k2_struct_0(k11_dickson), u1_struct_0(A), k4_ordinal1, u1_struct_0(A), B, C) => k19_cardfil2(A, k11_dickson, B)=k20_cardfil2(A, C)) ) ) ) ) ) ) ).
fof(t86_cardfil4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_struct_0(k11_dickson), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_struct_0(k11_dickson), u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (r1_funct_2(k2_struct_0(k11_dickson), u1_struct_0(A), k4_ordinal1, u1_struct_0(A), B, C) => k19_cardfil2(A, k11_dickson, B)=k20_cardfil2(A, C)) ) ) ) ) ) ) ).
fof(t87_cardfil4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k3_topmetr))))) )  =>  (r1_funct_2(k4_ordinal1, u1_struct_0(k3_topmetr), k4_ordinal1, k1_numbers, B, A) =>  (k20_cardfil2(k3_topmetr, B)=k1_xboole_0 | k20_cardfil2(k3_topmetr, B)=k1_tarski(k1_seq_2(A))) ) ) ) ) ) ).
fof(t88_cardfil4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  ( (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ~ (k18_cardfil2(k4_ordinal1, k3_topmetr, k6_mesfunc9(k4_ordinal1, k4_ordinal1, u1_struct_0(k3_topmetr), k7_cardfil4(A), B), k4_card_fil(k4_ordinal1))=k1_xboole_0) ) )  <=> v2_dblseq_1(A)) ) ) ).
fof(t89_cardfil4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  ( (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ~ (k18_cardfil2(k4_ordinal1, k3_topmetr, k5_mesfunc9(k4_ordinal1, k4_ordinal1, u1_struct_0(k3_topmetr), k7_cardfil4(A), B), k4_card_fil(k4_ordinal1))=k1_xboole_0) ) )  <=> v3_dblseq_1(A)) ) ) ).
fof(t90_cardfil4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(k3_topmetr))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  ( (r1_funct_2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(k3_topmetr), k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers, B, C) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ~ (k18_cardfil2(k4_ordinal1, k3_topmetr, k5_mesfunc9(k4_ordinal1, k4_ordinal1, u1_struct_0(k3_topmetr), B, D), k4_card_fil(k4_ordinal1))=k1_xboole_0) ) ) )  => k18_cardfil2(k4_ordinal1, k3_topmetr, k5_mesfunc9(k4_ordinal1, k4_ordinal1, u1_struct_0(k3_topmetr), B, A), k4_card_fil(k4_ordinal1))=k1_tarski(k1_seq_2(k5_mesfunc9(k4_ordinal1, k4_ordinal1, k1_numbers, C, A)))) ) ) ) ) ) ) ).
fof(t91_cardfil4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(k3_topmetr))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  ( (r1_funct_2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(k3_topmetr), k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers, B, C) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ~ (k18_cardfil2(k4_ordinal1, k3_topmetr, k6_mesfunc9(k4_ordinal1, k4_ordinal1, u1_struct_0(k3_topmetr), B, D), k4_card_fil(k4_ordinal1))=k1_xboole_0) ) ) )  => k18_cardfil2(k4_ordinal1, k3_topmetr, k6_mesfunc9(k4_ordinal1, k4_ordinal1, u1_struct_0(k3_topmetr), B, A), k4_card_fil(k4_ordinal1))=k1_tarski(k1_seq_2(k6_mesfunc9(k4_ordinal1, k4_ordinal1, k1_numbers, C, A)))) ) ) ) ) ) ) ).
fof(t92_cardfil4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v8_pre_topc(B) & l1_pre_topc(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(B))))) )  =>  ( ( (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ~ (k18_cardfil2(k4_ordinal1, B, k6_mesfunc9(k4_ordinal1, k4_ordinal1, u1_struct_0(B), C, D), k4_card_fil(k4_ordinal1))=k1_xboole_0) ) )  &  (r1_funct_2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(B), k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers, C, A) & B=k3_topmetr) )  => r1_funct_2(k4_ordinal1, u1_struct_0(B), k4_ordinal1, k1_numbers, k9_cardfil4(k4_ordinal1, k4_ordinal1, k4_card_fil(k4_ordinal1), B, C), k2_dblseq_1(A))) ) ) ) ) ) ) ).
fof(t93_cardfil4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v8_pre_topc(B) & l1_pre_topc(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(B))))) )  =>  ( ( (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ~ (k18_cardfil2(k4_ordinal1, B, k5_mesfunc9(k4_ordinal1, k4_ordinal1, u1_struct_0(B), C, D), k4_card_fil(k4_ordinal1))=k1_xboole_0) ) )  &  (r1_funct_2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(B), k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers, C, A) & B=k3_topmetr) )  => r1_funct_2(k4_ordinal1, u1_struct_0(B), k4_ordinal1, k1_numbers, k10_cardfil4(k4_ordinal1, k4_ordinal1, k4_card_fil(k4_ordinal1), B, C), k3_dblseq_1(A))) ) ) ) ) ) ) ).
fof(t94_cardfil4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_setfam_1(C) &  (v4_cardfil2(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_setfam_1(D) &  (v4_cardfil2(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  (m1_card_fil(E, A) =>  (! [F] :  (m1_card_fil(F, B) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  &  (v2_pre_topc(G) & l1_pre_topc(G)) )  =>  (! [H] :  (m1_subset_1(H, u1_struct_0(G)) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, k2_zfmisc_1(A, B), u1_struct_0(G)) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), u1_struct_0(G))))) )  =>  ( (r2_tarski(H, k18_cardfil2(k2_zfmisc_1(A, B), G, I, k2_cardfil4(A, B, E, F))) &  (k5_cardfil2(A, C)=E & k5_cardfil2(B, D)=F) )  =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(G))) =>  ~ ( (v3_pre_topc(J, G) &  (r2_tarski(H, J) &  (! [K] :  (m2_subset_1(K, k1_zfmisc_1(A), C) =>  (! [L] :  (m2_subset_1(L, k1_zfmisc_1(B), D) =>  ~ (r1_tarski(k7_relat_1(I, k8_mcart_1(A, B, K, L)), J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t95_cardfil4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_setfam_1(C) &  (v4_cardfil2(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_setfam_1(D) &  (v4_cardfil2(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  (m1_card_fil(E, A) =>  (! [F] :  (m1_card_fil(F, B) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  &  (v2_pre_topc(G) & l1_pre_topc(G)) )  =>  (! [H] :  (m1_subset_1(H, u1_struct_0(G)) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, k2_zfmisc_1(A, B), u1_struct_0(G)) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), u1_struct_0(G))))) )  =>  ( (r2_tarski(H, k18_cardfil2(k2_zfmisc_1(A, B), G, I, k2_cardfil4(A, B, E, F))) &  (k5_cardfil2(A, C)=E & k5_cardfil2(B, D)=F) )  =>  (! [J] :  (m1_connsp_2(J, G, H) =>  ~ ( (v4_pre_topc(J, G) &  (! [K] :  (m2_subset_1(K, k1_zfmisc_1(A), C) =>  (! [L] :  (m2_subset_1(L, k1_zfmisc_1(B), D) =>  ~ (r1_tarski(k7_relat_1(I, k8_mcart_1(A, B, K, L)), k1_tops_1(G, J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t96_cardfil4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_setfam_1(C) &  (v4_cardfil2(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_setfam_1(D) &  (v4_cardfil2(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  (m1_card_fil(E, A) =>  (! [F] :  (m1_card_fil(F, B) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  &  (v2_pre_topc(G) & l1_pre_topc(G)) )  =>  (! [H] :  (m1_subset_1(H, u1_struct_0(G)) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, k2_zfmisc_1(A, B), u1_struct_0(G)) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), u1_struct_0(G))))) )  =>  ( (r2_tarski(H, k18_cardfil2(k2_zfmisc_1(A, B), G, I, k2_cardfil4(A, B, E, F))) &  (k5_cardfil2(A, C)=E & k5_cardfil2(B, D)=F) )  =>  (! [J] :  (m1_connsp_2(J, G, H) =>  ~ ( (v4_pre_topc(J, G) &  (! [K] :  (m2_subset_1(K, k1_zfmisc_1(A), C) =>  (! [L] :  (m2_subset_1(L, k1_zfmisc_1(B), D) =>  ~ ( (! [M] :  (m2_subset_1(M, A, K) => r1_tarski(k7_relat_1(I, k8_mcart_1(K, B, k6_domain_1(K, M), L)), k1_tops_1(G, J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t97_cardfil4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_setfam_1(C) &  (v4_cardfil2(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_setfam_1(D) &  (v4_cardfil2(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  (m1_card_fil(E, A) =>  (! [F] :  (m1_card_fil(F, B) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  &  (v2_pre_topc(G) & l1_pre_topc(G)) )  =>  (! [H] :  (m1_subset_1(H, u1_struct_0(G)) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, k2_zfmisc_1(A, B), u1_struct_0(G)) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), u1_struct_0(G))))) )  =>  ( (r2_tarski(H, k18_cardfil2(k2_zfmisc_1(A, B), G, I, k2_cardfil4(A, B, E, F))) &  (k5_cardfil2(A, C)=E & k5_cardfil2(B, D)=F) )  =>  (! [J] :  (m1_connsp_2(J, G, H) =>  ~ ( (v4_pre_topc(J, G) &  (! [K] :  (m2_subset_1(K, k1_zfmisc_1(A), C) =>  (! [L] :  (m2_subset_1(L, k1_zfmisc_1(B), D) =>  (? [M] :  (m1_subset_1(M, A) &  (? [N] :  (m1_subset_1(N, u1_struct_0(G)) &  (r2_tarski(M, K) &  (r2_tarski(N, k18_cardfil2(B, G, k5_mesfunc9(A, B, u1_struct_0(G), I, M), F)) &  ~ (r2_tarski(N, k2_pre_topc(G, k1_tops_1(G, J)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t98_cardfil4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_setfam_1(C) &  (v4_cardfil2(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_setfam_1(D) &  (v4_cardfil2(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  (m1_card_fil(E, A) =>  (! [F] :  (m1_card_fil(F, B) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  &  (v2_pre_topc(G) & l1_pre_topc(G)) )  =>  (! [H] :  (m1_subset_1(H, u1_struct_0(G)) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, k2_zfmisc_1(A, B), u1_struct_0(G)) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), u1_struct_0(G))))) )  =>  ( (r2_tarski(H, k18_cardfil2(k2_zfmisc_1(A, B), G, I, k2_cardfil4(A, B, E, F))) &  (k5_cardfil2(A, C)=E & k5_cardfil2(B, D)=F) )  =>  (! [J] :  (m1_connsp_2(J, G, H) =>  ~ ( (v4_pre_topc(J, G) &  (! [K] :  (m2_subset_1(K, k1_zfmisc_1(A), C) =>  (! [L] :  (m2_subset_1(L, k1_zfmisc_1(B), D) =>  (? [M] :  (m1_subset_1(M, B) &  (? [N] :  (m1_subset_1(N, u1_struct_0(G)) &  (r2_tarski(M, L) &  (r2_tarski(N, k18_cardfil2(A, G, k6_mesfunc9(A, B, u1_struct_0(G), I, M), E)) &  ~ (r2_tarski(N, k2_pre_topc(G, k1_tops_1(G, J)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t99_cardfil4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_card_fil(C, A) =>  (! [D] :  (m1_card_fil(D, B) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v2_pre_topc(E) &  (v8_pre_topc(E) &  (v9_pre_topc(E) & l1_pre_topc(E)) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(A, B), u1_struct_0(E)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), u1_struct_0(E))))) )  =>  ( (! [G] :  (m1_subset_1(G, B) =>  ~ (k18_cardfil2(A, E, k6_mesfunc9(A, B, u1_struct_0(E), F, G), C)=k1_xboole_0) ) )  => r1_tarski(k18_cardfil2(k2_zfmisc_1(A, B), E, F, k2_cardfil4(A, B, C, D)), k18_cardfil2(B, E, k9_cardfil4(A, B, C, E, F), D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t100_cardfil4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_card_fil(C, A) =>  (! [D] :  (m1_card_fil(D, B) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v2_pre_topc(E) &  (v8_pre_topc(E) &  (v9_pre_topc(E) & l1_pre_topc(E)) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(A, B), u1_struct_0(E)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), u1_struct_0(E))))) )  =>  ( (! [G] :  (m1_subset_1(G, A) =>  ~ (k18_cardfil2(B, E, k5_mesfunc9(A, B, u1_struct_0(E), F, G), D)=k1_xboole_0) ) )  => r1_tarski(k18_cardfil2(k2_zfmisc_1(A, B), E, F, k2_cardfil4(A, B, C, D)), k18_cardfil2(A, E, k10_cardfil4(A, B, D, E, F), C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t101_cardfil4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_card_fil(C, A) =>  (! [D] :  (m1_card_fil(D, B) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v2_pre_topc(E) &  (v8_pre_topc(E) &  (v9_pre_topc(E) & l1_pre_topc(E)) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(A, B), u1_struct_0(E)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), u1_struct_0(E))))) )  =>  ( (! [G] :  (m1_subset_1(G, A) =>  ~ (k18_cardfil2(B, E, k5_mesfunc9(A, B, u1_struct_0(E), F, G), D)=k1_xboole_0) ) )  =>  (k18_cardfil2(k2_zfmisc_1(A, B), E, F, k2_cardfil4(A, B, C, D))=k1_xboole_0 | k18_cardfil2(k2_zfmisc_1(A, B), E, F, k2_cardfil4(A, B, C, D))=k18_cardfil2(A, E, k10_cardfil4(A, B, D, E, F), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t102_cardfil4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_card_fil(C, A) =>  (! [D] :  (m1_card_fil(D, B) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v2_pre_topc(E) &  (v8_pre_topc(E) &  (v9_pre_topc(E) & l1_pre_topc(E)) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(A, B), u1_struct_0(E)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), u1_struct_0(E))))) )  =>  ( (! [G] :  (m1_subset_1(G, B) =>  ~ (k18_cardfil2(A, E, k6_mesfunc9(A, B, u1_struct_0(E), F, G), C)=k1_xboole_0) ) )  =>  (k18_cardfil2(k2_zfmisc_1(A, B), E, F, k2_cardfil4(A, B, C, D))=k1_xboole_0 | k18_cardfil2(k2_zfmisc_1(A, B), E, F, k2_cardfil4(A, B, C, D))=k18_cardfil2(B, E, k9_cardfil4(A, B, C, E, F), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t103_cardfil4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_card_fil(C, A) =>  (! [D] :  (m1_card_fil(D, B) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v2_pre_topc(E) &  (v8_pre_topc(E) &  (v9_pre_topc(E) & l1_pre_topc(E)) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(A, B), u1_struct_0(E)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), u1_struct_0(E))))) )  =>  ( ( (! [G] :  (m1_subset_1(G, A) =>  ~ (k18_cardfil2(B, E, k5_mesfunc9(A, B, u1_struct_0(E), F, G), D)=k1_xboole_0) ) )  &  (! [G] :  (m1_subset_1(G, B) =>  ~ (k18_cardfil2(A, E, k6_mesfunc9(A, B, u1_struct_0(E), F, G), C)=k1_xboole_0) ) ) )  =>  (k18_cardfil2(k2_zfmisc_1(A, B), E, F, k2_cardfil4(A, B, C, D))=k1_xboole_0 | k18_cardfil2(A, E, k10_cardfil4(A, B, D, E, F), C)=k18_cardfil2(B, E, k9_cardfil4(A, B, C, E, F), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_cardfil4, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_setfam_1(C) &  (v4_cardfil2(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ~ (v1_xboole_0(D))  &  (v1_setfam_1(D) &  (v4_cardfil2(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k1_cardfil4(A, B, C, D)))  &  (v1_setfam_1(k1_cardfil4(A, B, C, D)) &  (v4_cardfil2(k1_cardfil4(A, B, C, D), k2_zfmisc_1(A, B)) & m1_subset_1(k1_cardfil4(A, B, C, D), k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B))))) ) ) ) ) ).
fof(dt_k2_cardfil4, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_card_fil(C, A) & m1_card_fil(D, B)) ) )  => m1_card_fil(k2_cardfil4(A, B, C, D), k2_zfmisc_1(A, B))) ) ).
fof(dt_k3_cardfil4, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_card_fil(C, A) &  (m1_card_fil(D, B) &  ( ( ~ (v1_xboole_0(E))  &  (v3_cardfil2(E, A, C) & m1_subset_1(E, k1_zfmisc_1(C))) )  &  ( ~ (v1_xboole_0(F))  &  (v3_cardfil2(F, B, D) & m1_subset_1(F, k1_zfmisc_1(D))) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k3_cardfil4(A, B, C, D, E, F)))  &  (v3_cardfil2(k3_cardfil4(A, B, C, D, E, F), k2_zfmisc_1(A, B), k2_cardfil4(A, B, C, D)) & m1_subset_1(k3_cardfil4(A, B, C, D, E, F), k1_zfmisc_1(k2_cardfil4(A, B, C, D)))) ) ) ) ).
fof(dt_k4_cardfil4, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k4_cardfil4(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) ).
fof(dt_k5_cardfil4, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k5_cardfil4(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) ).
fof(dt_k6_cardfil4, axiom,  ( ~ (v1_xboole_0(k6_cardfil4))  &  (v1_setfam_1(k6_cardfil4) &  (v4_cardfil2(k6_cardfil4, k2_zfmisc_1(k4_ordinal1, k4_ordinal1)) & m1_subset_1(k6_cardfil4, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1))))) ) ) ).
fof(dt_k7_cardfil4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v1_funct_1(k7_cardfil4(A)) &  (v1_funct_2(k7_cardfil4(A), k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(k3_topmetr)) & m1_subset_1(k7_cardfil4(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(k3_topmetr))))) ) ) ) ).
fof(dt_k8_cardfil4, axiom,  (v1_funct_1(k8_cardfil4) &  (v1_funct_2(k8_cardfil4, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(k8_cardfil4, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) ) ).
fof(dt_k9_cardfil4, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_card_fil(C, A) &  ( ( ~ (v2_struct_0(D))  &  (v2_pre_topc(D) &  (v8_pre_topc(D) & l1_pre_topc(D)) ) )  &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, B), u1_struct_0(D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), u1_struct_0(D))))) ) ) ) ) )  =>  (v1_funct_1(k9_cardfil4(A, B, C, D, E)) &  (v1_funct_2(k9_cardfil4(A, B, C, D, E), B, u1_struct_0(D)) & m1_subset_1(k9_cardfil4(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(D))))) ) ) ) ).
fof(dt_k10_cardfil4, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_card_fil(C, B) &  ( ( ~ (v2_struct_0(D))  &  (v2_pre_topc(D) &  (v8_pre_topc(D) & l1_pre_topc(D)) ) )  &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, B), u1_struct_0(D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), u1_struct_0(D))))) ) ) ) ) )  =>  (v1_funct_1(k10_cardfil4(A, B, C, D, E)) &  (v1_funct_2(k10_cardfil4(A, B, C, D, E), A, u1_struct_0(D)) & m1_subset_1(k10_cardfil4(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(D))))) ) ) ) ).
fof(t3_cardfil4, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B))) => m1_subset_1(a_4_0_cardfil4(A, B, C, D), k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B))))) ) ) ) ) ) ).
fof(t9_cardfil4, axiom,  ~ (v1_finset_1(a_0_0_cardfil4)) ).
fof(t15_cardfil4, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1))) => k9_xtuple_0(A)=a_1_0_cardfil4(A)) ) ).
fof(t16_cardfil4, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1))) => k10_xtuple_0(A)=a_1_1_cardfil4(A)) ) ).
fof(d1_cardfil4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_setfam_1(C) &  (v4_cardfil2(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_setfam_1(D) &  (v4_cardfil2(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  => k1_cardfil4(A, B, C, D)=a_4_1_cardfil4(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(d6_cardfil4, axiom, k6_cardfil4=a_0_1_cardfil4).
fof(t46_cardfil4, axiom,  (r2_tarski(k6_subset_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), a_0_0_cardfil4), k2_cardfil4(k4_ordinal1, k4_ordinal1, k4_card_fil(k4_ordinal1), k4_card_fil(k4_ordinal1))) &  ~ (r2_tarski(k6_subset_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), a_0_0_cardfil4), k4_card_fil(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) ).
fof(t52_cardfil4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(A))))) )  => k6_cardfil2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(A), B, k4_card_fil(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))=a_2_0_cardfil4(A, B)) ) ) ) ).
fof(t53_cardfil4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(A))))) )  => k6_cardfil2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(A), B, k2_cardfil4(k4_ordinal1, k4_ordinal1, k4_card_fil(k4_ordinal1), k4_card_fil(k4_ordinal1)))=a_2_1_cardfil4(A, B)) ) ) ) ).
fof(t67_cardfil4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_pcomps_1(A))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(k3_pcomps_1(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(k3_pcomps_1(A)))))) )  =>  (C=B =>  (r2_tarski(C, k18_cardfil2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k3_pcomps_1(A), D, k2_cardfil4(k4_ordinal1, k4_ordinal1, k4_card_fil(k4_ordinal1), k4_card_fil(k4_ordinal1)))) <=>  (! [E] :  ( (v7_ordinal1(E) &  ~ (v8_ordinal1(E)) )  =>  (? [F] :  (v7_ordinal1(F) &  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (v7_ordinal1(H) =>  ( (r1_xxreal_0(F, G) & r1_xxreal_0(F, H))  => r2_tarski(k1_binop_1(D, G, H), a_3_0_cardfil4(A, B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_cardfil4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_pcomps_1(A))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(k3_pcomps_1(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(k3_pcomps_1(A)))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(A))))) )  =>  ( (C=B & r1_funct_2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(k3_pcomps_1(A)), k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(A), D, E))  =>  (r2_tarski(C, k18_cardfil2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k3_pcomps_1(A), D, k2_cardfil4(k4_ordinal1, k4_ordinal1, k4_card_fil(k4_ordinal1), k4_card_fil(k4_ordinal1)))) <=>  (! [F] :  ( (v7_ordinal1(F) &  ~ (v8_ordinal1(F)) )  =>  (? [G] :  (v7_ordinal1(G) &  (! [H] :  (v7_ordinal1(H) =>  (! [I] :  (v7_ordinal1(I) =>  ( (r1_xxreal_0(G, H) & r1_xxreal_0(G, I))  => r2_tarski(k1_binop_1(E, H, I), a_3_0_cardfil4(A, B, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t69_cardfil4, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k3_pcomps_1(k14_euclid(1)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k14_euclid(1))) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v3_cardfil2(C, u1_struct_0(k3_pcomps_1(k14_euclid(1))), k13_cardfil2(k3_pcomps_1(k14_euclid(1)), k1_yellow19(k3_pcomps_1(k14_euclid(1)), A))) & m1_subset_1(C, k1_zfmisc_1(k13_cardfil2(k3_pcomps_1(k14_euclid(1)), k1_yellow19(k3_pcomps_1(k14_euclid(1)), A))))) )  =>  (! [D] :  (m2_subset_1(D, k13_cardfil2(k3_pcomps_1(k14_euclid(1)), k1_yellow19(k3_pcomps_1(k14_euclid(1)), A)), C) =>  ~ ( (A=B &  (C=k1_frechet(k14_euclid(1), A) &  (! [E] :  (v7_ordinal1(E) =>  ~ (D=a_2_2_cardfil4(B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_cardfil4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(k3_pcomps_1(k14_euclid(1)))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(k3_pcomps_1(k14_euclid(1))))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_euclid(1))) =>  (r1_tarski(k7_relat_1(C, k4_cardfil4(B)), a_2_3_cardfil4(A, D)) <=>  (! [E] :  ~ ( (r2_hidden(E, k7_relat_1(C, k4_cardfil4(B))) &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( (E=k24_srings_5(F) &  (D=k24_srings_5(G) &  ~ (r1_xxreal_0(k7_xcmplx_0(1, A), k9_complex1(k6_xcmplx_0(G, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_cardfil4, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B))) & m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(C))))  =>  (r2_hidden(A, a_4_0_cardfil4(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, C))) &  (A=F &  (? [G] :  (? [H] :  (r2_tarski(G, D) &  (r2_tarski(H, E) & F=k2_zfmisc_1(G, H)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_0_0_cardfil4, axiom,  (! [A] :  (r2_hidden(A, a_0_0_cardfil4) <=>  (? [B] :  (v7_ordinal1(B) & A=k4_tarski(k5_ordinal1, B)) ) ) ) ).
fof(fraenkel_a_1_0_cardfil4, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1))) =>  (r2_hidden(A, a_1_0_cardfil4(B)) <=>  (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (A=C &  (? [D] :  (m1_subset_1(D, k4_ordinal1) & r2_tarski(k1_domain_1(k4_ordinal1, k4_ordinal1, C, D), B)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_1_cardfil4, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1))) =>  (r2_hidden(A, a_1_1_cardfil4(B)) <=>  (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (A=C &  (? [D] :  (m1_subset_1(D, k4_ordinal1) & r2_tarski(k1_domain_1(k4_ordinal1, k4_ordinal1, D, C), B)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_1_cardfil4, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ( ~ (v1_xboole_0(D))  &  (v1_setfam_1(D) &  (v4_cardfil2(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( ~ (v1_xboole_0(E))  &  (v1_setfam_1(E) &  (v4_cardfil2(E, C) & m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(C)))) ) ) ) ) )  =>  (r2_hidden(A, a_4_1_cardfil4(B, C, D, E)) <=>  (? [F, G] :  ( (m2_subset_1(F, k1_zfmisc_1(B), D) & m2_subset_1(G, k1_zfmisc_1(C), E))  & A=k8_mcart_1(B, C, F, G)) ) ) ) ) ).
fof(fraenkel_a_0_1_cardfil4, axiom,  (! [A] :  (r2_hidden(A, a_0_1_cardfil4) <=>  (? [B] :  (v7_ordinal1(B) & A=k4_cardfil4(B)) ) ) ) ).
fof(fraenkel_a_2_0_cardfil4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(B))))) ) )  =>  (r2_hidden(A, a_2_0_cardfil4(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) &  (A=D &  (? [E] :  ( (v1_finset_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1))))  & k8_relat_1(C, D)=k6_subset_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), E)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_cardfil4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), u1_struct_0(B))))) ) )  =>  (r2_hidden(A, a_2_1_cardfil4(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) &  (A=D &  (? [E] :  (v7_ordinal1(E) & r1_relset_1(k4_ordinal1, k4_ordinal1, k4_cardfil4(E), k8_relat_1(C, D))) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_cardfil4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) &  (v7_ordinal1(D) &  ~ (v8_ordinal1(D)) ) ) )  =>  (r2_hidden(A, a_3_0_cardfil4(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E &  ~ (r1_xxreal_0(k7_xcmplx_0(1, D), k3_metric_1(B, C, E))) ) ) ) ) ) ) ).
fof(fraenkel_a_2_2_cardfil4, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, u1_struct_0(k14_euclid(1))) & v7_ordinal1(C))  =>  (r2_hidden(A, a_2_2_cardfil4(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(k14_euclid(1))) &  (A=D &  ~ (r1_xxreal_0(k7_xcmplx_0(1, C), k3_metric_1(k14_euclid(1), B, D))) ) ) ) ) ) ) ).
fof(fraenkel_a_2_3_cardfil4, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) & m1_subset_1(C, u1_struct_0(k14_euclid(1))))  =>  (r2_hidden(A, a_2_3_cardfil4(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(k14_euclid(1))) &  (A=D &  ~ (r1_xxreal_0(k7_xcmplx_0(1, B), k3_metric_1(k14_euclid(1), C, D))) ) ) ) ) ) ) ).
fof(fc1_cardfin2, axiom,  (! [A] :  (v1_xreal_0(A) => v2_xxreal_0(k23_sin_cos(A))) ) ).
fof(fc2_cardfin2, axiom,  (v2_xxreal_0(k4_power) & v1_xreal_0(k4_power)) ).
fof(fc3_cardfin2, axiom,  (! [A] :  (v1_finset_1(A) => v1_finset_1(k2_cardfin2(A))) ) ).
fof(fc4_cardfin2, axiom,  (! [A, B] :  ( (v1_int_1(A) &  (v1_relat_1(B) &  (v5_relat_1(B, k4_numbers) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) )  =>  (v1_relat_1(k24_valued_1(B, A)) &  (v5_relat_1(k24_valued_1(B, A), k4_numbers) &  (v5_ordinal1(k24_valued_1(B, A)) &  (v1_funct_1(k24_valued_1(B, A)) & v1_finset_1(k24_valued_1(B, A))) ) ) ) ) ) ).
fof(fc5_cardfin2, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) &  (v1_relat_1(B) &  (v1_xboole_0(B) & v1_funct_1(B)) ) )  =>  (v1_relat_1(k24_valued_1(B, A)) &  (v1_xboole_0(k24_valued_1(B, A)) & v1_funct_1(k24_valued_1(B, A))) ) ) ) ).
fof(fc6_cardfin2, axiom,  (! [A, B] :  ( (v1_finset_1(A) & v1_finset_1(B))  => v1_finset_1(k4_cardfin2(A, B))) ) ).
fof(t1_cardfin2, axiom,  ~ (v2_abian(k6_partfun1(k1_xboole_0))) ).
fof(t2_cardfin2, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( ( ~ (r1_xxreal_0(k5_numbers, A))  & r1_xxreal_0(1, k23_sin_cos(A))) ) ) ) ).
fof(d1_cardfin2, axiom,  (! [A] :  (v1_xreal_0(A) => k1_cardfin2(A)=k1_int_1(k2_xcmplx_0(A, k7_xcmplx_0(1, 2)))) ) ).
fof(t3_cardfin2, axiom,  (! [A] :  (v1_int_1(A) => k1_cardfin2(A)=A) ) ).
fof(t4_cardfin2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k9_complex1(k6_xcmplx_0(A, B))))  => A=k1_cardfin2(B)) ) ) ) ) ).
fof(t5_cardfin2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, B))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( (r2_hidden(D, k2_rcomp_1(B, C)) & k23_sin_cos(B)=k2_xcmplx_0(k8_nat_1(k1_numbers, k3_series_1(k6_taylor_1(k22_sin_cos, k2_subset_1(k1_numbers), C, B)), A), k7_xcmplx_0(k3_xcmplx_0(k23_sin_cos(D), k1_newton(k6_xcmplx_0(B, C), k1_nat_1(A, 1))), k2_newton(k1_nat_1(A, 1))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_cardfin2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v2_xxreal_0(A))  =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(k5_numbers, B))  & r1_xxreal_0(k7_xcmplx_0(1, 2), k9_complex1(k4_xcmplx_0(k3_xcmplx_0(k2_newton(A), k7_xcmplx_0(k3_xcmplx_0(k23_sin_cos(B), k1_newton(k4_xcmplx_0(1), k1_nat_1(A, 1))), k2_newton(k1_nat_1(A, 1)))))))) ) ) ) ) ) ).
fof(t8_cardfin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (? [B] :  (v1_xreal_0(B) &  (r2_hidden(B, k2_rcomp_1(k4_xcmplx_0(1), k5_numbers)) & k6_xcmplx_0(k4_card_1(k2_cardfin2(A)), k7_xcmplx_0(k2_newton(k4_card_1(A)), k4_power))=k4_xcmplx_0(k3_xcmplx_0(k2_newton(k4_card_1(A)), k7_xcmplx_0(k3_xcmplx_0(k23_sin_cos(B), k1_newton(k4_xcmplx_0(1), k1_nat_1(k4_card_1(A), 1))), k2_newton(k1_nat_1(k4_card_1(A), 1)))))) ) ) ) ) ).
fof(t9_cardfin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k9_complex1(k6_xcmplx_0(k4_card_1(k2_cardfin2(A)), k7_xcmplx_0(k2_newton(k4_card_1(A)), k4_power))))) ) ) ).
fof(t10_cardfin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  => k4_card_1(k2_cardfin2(A))=k1_cardfin2(k7_xcmplx_0(k2_newton(k4_card_1(A)), k4_power))) ) ).
fof(t11_cardfin2, axiom, k2_cardfin2(k1_xboole_0)=k1_tarski(k1_xboole_0)).
fof(t12_cardfin2, axiom,  (! [A] : k2_cardfin2(k1_tarski(A))=k1_xboole_0) ).
fof(d3_cardfin2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_numbers)))) )  =>  (A=k3_cardfin2 <=>  (k8_nat_1(k4_numbers, A, k5_numbers)=1 &  (k8_nat_1(k4_numbers, A, 1)=k5_numbers &  (! [B] :  (v7_ordinal1(B) => k8_nat_1(k4_numbers, A, k1_nat_1(B, 2))=k3_xcmplx_0(k1_nat_1(B, 1), k2_xcmplx_0(k8_nat_1(k4_numbers, A, B), k8_nat_1(k4_numbers, A, k1_nat_1(B, 1))))) ) ) ) ) ) ) ).
fof(t13_cardfin2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  =>  (! [B] :  (v1_int_1(B) => k3_xcmplx_0(B, k7_afinsq_2(A))=k2_xcmplx_0(k7_afinsq_2(k5_relat_1(k24_valued_1(A, B), k7_nat_d(k1_afinsq_1(A), 1))), k3_xcmplx_0(B, k1_funct_1(A, k7_nat_d(k1_afinsq_1(A), 1))))) ) ) ) ).
fof(t14_cardfin2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k4_numbers) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  =>  (k1_afinsq_1(B)=k1_nat_1(k1_afinsq_1(A), 1) =>  (! [C] :  (v1_int_1(C) =>  (k5_relat_1(B, k1_afinsq_1(A))=k24_valued_1(A, C) => k7_afinsq_2(B)=k2_xcmplx_0(k3_xcmplx_0(C, k7_afinsq_2(A)), k1_funct_1(B, k1_afinsq_1(A)))) ) ) ) ) ) ) ) ).
fof(t15_cardfin2, axiom,  (! [A] :  (v1_finset_1(A) => k8_nat_1(k4_numbers, k3_cardfin2, k4_card_1(A))=k4_card_1(k2_cardfin2(A))) ) ).
fof(t16_cardfin2, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (v1_finset_1(B) =>  (r1_xxreal_0(k4_card_1(A), k4_card_1(B)) => k4_card_1(k4_cardfin2(A, B))=k6_xcmplx_0(k11_newton(k4_card_1(B), k4_card_1(A)), k7_xcmplx_0(k2_newton(k4_card_1(B)), k2_newton(k7_nat_d(k4_card_1(B), k4_card_1(A)))))) ) ) ) ) ).
fof(t17_cardfin2, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  ~ ( (k4_card_1(A)=23 &  (k4_card_1(B)=365 & r1_xxreal_0(k2_nat_1(2, k4_card_1(k4_cardfin2(A, B))), k4_card_1(k9_funct_2(A, B)))) ) ) ) ) ) ) ).
fof(t18_cardfin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  ~ ( (k4_card_1(A)=23 &  (k4_card_1(B)=365 & r1_xxreal_0(k1_rpr_1(k1_funct_2(A, B), k4_cardfin2(A, B)), k7_xcmplx_0(1, 2))) ) ) ) ) ) ) ).
fof(dt_k1_cardfin2, axiom,  (! [A] :  (v1_xreal_0(A) => v1_int_1(k1_cardfin2(A))) ) ).
fof(dt_k3_cardfin2, axiom,  (v1_funct_1(k3_cardfin2) &  (v1_funct_2(k3_cardfin2, k4_ordinal1, k4_numbers) & m1_subset_1(k3_cardfin2, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_numbers)))) ) ).
fof(dt_k4_cardfin2, axiom,  (! [A, B] : m1_subset_1(k4_cardfin2(A, B), k1_zfmisc_1(k1_funct_2(A, B)))) ).
fof(d2_cardfin2, axiom,  (! [A] : k2_cardfin2(A)=a_1_0_cardfin2(A)) ).
fof(t7_cardfin2, axiom,  (! [A] :  (v1_finset_1(A) => k2_cardfin2(A)=a_1_1_cardfin2(A)) ) ).
fof(d4_cardfin2, axiom,  (! [A] :  (! [B] : k4_cardfin2(A, B)=a_2_0_cardfin2(A, B)) ) ).
fof(s1_cardfin2, axiom,  ( (f2_s1_cardfin2=k1_xboole_0 => f1_s1_cardfin2=k1_xboole_0)  => a_0_0_cardfin2=k6_subset_1(k1_funct_2(f1_s1_cardfin2, f2_s1_cardfin2), a_0_1_cardfin2)) ).
fof(fraenkel_a_1_0_cardfin2, axiom,  (! [A, B] :  (r2_hidden(A, a_1_0_cardfin2(B)) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, B) &  (v3_funct_2(C, B, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  &  (A=C &  ~ (v2_abian(C)) ) ) ) ) ) ).
fof(fraenkel_a_1_1_cardfin2, axiom,  (! [A, B] :  (v1_finset_1(B) =>  (r2_hidden(A, a_1_1_cardfin2(B)) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B)))) )  &  (A=C &  (v2_funct_1(C) &  (! [D] :  ~ ( (r2_tarski(D, B) & k1_funct_1(C, D)=D) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_cardfin2, axiom,  (! [A, B, C] :  (r2_hidden(A, a_2_0_cardfin2(B, C)) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  &  (A=D &  ~ (v2_funct_1(D)) ) ) ) ) ) ).
fof(fraenkel_a_0_0_cardfin2, axiom,  (! [A] :  (r2_hidden(A, a_0_0_cardfin2) <=>  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, f1_s1_cardfin2, f2_s1_cardfin2) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(f1_s1_cardfin2, f2_s1_cardfin2)))) )  &  (A=B &  ~ (p1_s1_cardfin2(B)) ) ) ) ) ) ).
fof(fraenkel_a_0_1_cardfin2, axiom,  (! [A] :  (r2_hidden(A, a_0_1_cardfin2) <=>  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, f1_s1_cardfin2, f2_s1_cardfin2) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(f1_s1_cardfin2, f2_s1_cardfin2)))) )  &  (A=B & p1_s1_cardfin2(B)) ) ) ) ) ).
fof(rc1_cat_1, axiom,  (? [A] :  (l1_cat_1(A) & v1_cat_1(A)) ) ).
fof(rc2_cat_1, axiom,  (? [A] :  (l1_cat_1(A) &  ( ~ (v2_struct_0(A))  &  ~ (v11_struct_0(A)) ) ) ) ).
fof(fc1_cat_1, axiom,  (! [A, B] :  ( ~ (v2_struct_0(k3_cat_1(A, B)))  &  (v7_struct_0(k3_cat_1(A, B)) &  ( ~ (v11_struct_0(k3_cat_1(A, B)))  &  (v15_struct_0(k3_cat_1(A, B)) & v1_cat_1(k3_cat_1(A, B))) ) ) ) ) ).
fof(cc1_cat_1, axiom,  (! [A] :  (l1_cat_1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v7_struct_0(A) &  ~ (v11_struct_0(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v3_cat_1(A) & v5_cat_1(A)) ) ) ) ) ) ).
fof(cc2_cat_1, axiom,  (! [A] :  (l1_cat_1(A) =>  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & v15_struct_0(A)) )  =>  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_cat_1(A) & v6_cat_1(A)) ) ) ) ) ) ).
fof(fc2_cat_1, axiom,  (! [A, B] :  (v1_cat_1(k3_cat_1(A, B)) & v2_cat_1(k3_cat_1(A, B))) ) ).
fof(rc3_cat_1, axiom,  (? [A] :  (l1_cat_1(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v14_struct_0(A) &  (v1_cat_1(A) &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) & v6_cat_1(A)) ) ) ) ) ) ) ) ) ) ).
fof(fc3_cat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v5_cat_1(A) & l1_cat_1(A)) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  ~ (v1_xboole_0(k2_cat_1(A, B, B))) ) ) ).
fof(rd1_cat_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_cat_1(C, A, B, B)) )  => k5_cat_1(A, B, B, B, k4_cat_1(A, B), C)=C) ) ).
fof(rd2_cat_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_cat_1(C, A, B, B)) )  => k5_cat_1(A, B, B, B, C, k4_cat_1(A, B))=C) ) ).
fof(rd3_cat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => k3_graph_1(A, k4_cat_1(A, B))=B) ) ).
fof(rd4_cat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => k4_graph_1(A, k4_cat_1(A, B))=B) ) ).
fof(d1_cat_1, axiom,  (! [A] :  (l1_cat_1(A) =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (r2_hidden(k4_tarski(C, B), k9_xtuple_0(u1_cat_1(A))) => k1_cat_1(A, B, C)=k1_binop_1(u1_cat_1(A), C, B)) ) ) ) ) ) ) ).
fof(t1_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_cat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(B, k2_cat_1(A, C, D)) <=>  (k3_graph_1(A, B)=C & k4_graph_1(A, B)=D) ) ) ) ) ) ) ) ) ) ).
fof(t2_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_cat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  ~ (k2_cat_1(A, k3_graph_1(A, B), k4_graph_1(A, B))=k1_xboole_0) ) ) ) ) ).
fof(d5_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_cat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (k2_cat_1(A, B, C)=k1_xboole_0)  =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (m1_cat_1(D, A, B, C) <=> r2_tarski(D, k2_cat_1(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t4_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_cat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) => m1_cat_1(B, A, k3_graph_1(A, B), k4_graph_1(A, B))) ) ) ) ).
fof(t5_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_cat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_cat_1(D, A, B, C) =>  ( ~ (k2_cat_1(A, B, C)=k1_xboole_0)  =>  (k3_graph_1(A, D)=B & k4_graph_1(A, D)=C) ) ) ) ) ) ) ) ) ) ).
fof(t6_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_cat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_cat_1(F, A, B, C) =>  (! [G] :  (m1_cat_1(G, A, D, E) =>  (F=G =>  (k2_cat_1(A, B, C)=k1_xboole_0 |  (k2_cat_1(A, D, E)=k1_xboole_0 |  (B=D & C=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_cat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_cat_1(D, A, B, C) =>  (k2_cat_1(A, B, C)=k1_tarski(D) =>  (! [E] :  (m1_cat_1(E, A, B, C) => D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_cat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_cat_1(D, A, B, C) =>  ( (! [E] :  (m1_cat_1(E, A, B, C) => D=E) )  =>  (k2_cat_1(A, B, C)=k1_xboole_0 | k2_cat_1(A, B, C)=k1_tarski(D)) ) ) ) ) ) ) ) ) ) ).
fof(t9_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_cat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_cat_1(F, A, B, C) =>  ~ ( (r3_tarski(k2_cat_1(A, B, C), k2_cat_1(A, D, E)) &  (k2_cat_1(A, B, C)=k1_tarski(F) &  (! [G] :  (m1_cat_1(G, A, D, E) =>  ~ (k2_cat_1(A, D, E)=k1_tarski(G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_cat_1(A)) )  =>  (v2_cat_1(A) <=>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (r2_hidden(k4_tarski(C, B), k9_xtuple_0(u1_cat_1(A))) <=> k3_graph_1(A, C)=k4_graph_1(A, B)) ) ) ) ) ) ) ) ).
fof(d7_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_cat_1(A)) )  =>  (v3_cat_1(A) <=>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (k3_graph_1(A, C)=k4_graph_1(A, B) =>  (k3_graph_1(A, k1_cat_1(A, B, C))=k3_graph_1(A, B) & k4_graph_1(A, k1_cat_1(A, B, C))=k4_graph_1(A, C)) ) ) ) ) ) ) ) ) ).
fof(d8_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_cat_1(A)) )  =>  (v4_cat_1(A) <=>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  ( (k3_graph_1(A, D)=k4_graph_1(A, C) & k3_graph_1(A, C)=k4_graph_1(A, B))  => k1_cat_1(A, k1_cat_1(A, B, C), D)=k1_cat_1(A, B, k1_cat_1(A, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(d9_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_cat_1(A)) )  =>  (v5_cat_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ (k2_cat_1(A, B, B)=k1_xboole_0) ) ) ) ) ) ).
fof(d10_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_cat_1(A)) )  =>  (v6_cat_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  (m1_cat_1(C, A, B, B) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ( ~ (k2_cat_1(A, B, D)=k1_xboole_0)  =>  (! [E] :  (m1_cat_1(E, A, B, D) => k1_cat_1(A, C, E)=E) ) )  &  ( ~ (k2_cat_1(A, D, B)=k1_xboole_0)  =>  (! [E] :  (m1_cat_1(E, A, D, B) => k1_cat_1(A, E, C)=E) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_cat_1, axiom,  (! [A] :  (! [B] : k3_cat_1(A, B)=g1_cat_1(k1_tarski(A), k1_tarski(B), k19_funcop_1(B, A), k19_funcop_1(B, A), k18_funcop_1(B, B, B))) ) ).
fof(t11_cat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_cat_1(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k3_cat_1(A, B))) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(k3_cat_1(A, B))) => r2_tarski(E, k2_cat_1(k3_cat_1(A, B), C, D))) ) ) ) ) ) ) ) ).
fof(t12_cat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_cat_1(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k3_cat_1(A, B))) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(k3_cat_1(A, B))) => m1_cat_1(E, k3_cat_1(A, B), C, D)) ) ) ) ) ) ) ) ).
fof(t13_cat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_cat_1(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k3_cat_1(A, B))) =>  ~ (k2_cat_1(k3_cat_1(A, B), C, D)=k1_xboole_0) ) ) ) ) ) ) ).
fof(t14_cat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_cat_1(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k3_cat_1(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k3_cat_1(A, B))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k3_cat_1(A, B))) =>  (! [G] :  (m1_cat_1(G, k3_cat_1(A, B), C, D) =>  (! [H] :  (m1_cat_1(H, k3_cat_1(A, B), E, F) => G=H) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (k3_graph_1(A, C)=k4_graph_1(A, B) <=> r2_hidden(k4_tarski(C, B), k9_xtuple_0(u1_cat_1(A)))) ) ) ) ) ) ) ).
fof(t16_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (k3_graph_1(A, C)=k4_graph_1(A, B) => k1_cat_1(A, B, C)=k1_binop_1(u1_cat_1(A), C, B)) ) ) ) ) ) ) ).
fof(t17_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (k3_graph_1(A, C)=k4_graph_1(A, B) =>  (k3_graph_1(A, k1_cat_1(A, B, C))=k3_graph_1(A, B) & k4_graph_1(A, k1_cat_1(A, B, C))=k4_graph_1(A, C)) ) ) ) ) ) ) ) ).
fof(t18_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  ( (k3_graph_1(A, D)=k4_graph_1(A, C) & k3_graph_1(A, C)=k4_graph_1(A, B))  => k1_cat_1(A, k1_cat_1(A, B, C), D)=k1_cat_1(A, B, k1_cat_1(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(d12_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_cat_1(C, A, B, B) =>  (C=k4_cat_1(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ( ~ (k2_cat_1(A, B, D)=k1_xboole_0)  =>  (! [E] :  (m1_cat_1(E, A, B, D) => k1_cat_1(A, C, E)=E) ) )  &  ( ~ (k2_cat_1(A, D, B)=k1_xboole_0)  =>  (! [E] :  (m1_cat_1(E, A, D, B) => k1_cat_1(A, E, C)=E) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (k4_graph_1(A, C)=B => k1_cat_1(A, C, k4_cat_1(A, B))=C) ) ) ) ) ) ) ).
fof(t22_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (k3_graph_1(A, C)=B => k1_cat_1(A, k4_cat_1(A, B), C)=C) ) ) ) ) ) ) ).
fof(t23_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_cat_1(E, A, B, C) =>  (! [F] :  (m1_cat_1(F, A, C, D) =>  ~ ( ( ~ (k2_cat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, C, D)=k1_xboole_0)  &  ~ (r2_tarski(k1_cat_1(A, E, F), k2_cat_1(A, B, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_cat_1(E, A, B, C) =>  (! [F] :  (m1_cat_1(F, A, C, D) =>  ~ ( ( ~ (k2_cat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, C, D)=k1_xboole_0)  &  ~ (k5_cat_1(A, B, C, D, E, F)=k1_cat_1(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (k2_cat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, C, D)=k1_xboole_0)  & k2_cat_1(A, B, D)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_cat_1(F, A, B, C) =>  (! [G] :  (m1_cat_1(G, A, C, D) =>  (! [H] :  (m1_cat_1(H, A, D, E) =>  ~ ( ( ~ (k2_cat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, C, D)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, D, E)=k1_xboole_0)  &  ~ (k5_cat_1(A, B, C, E, F, k5_cat_1(A, C, D, E, G, H))=k5_cat_1(A, B, D, E, k5_cat_1(A, B, C, D, F, G), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r2_tarski(k4_cat_1(A, B), k2_cat_1(A, B, B))) ) ) ) ).
fof(t28_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_cat_1(D, A, B, C) =>  ( ~ (k2_cat_1(A, B, C)=k1_xboole_0)  => k5_cat_1(A, B, C, C, D, k4_cat_1(A, C))=D) ) ) ) ) ) ) ) ) ).
fof(t29_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_cat_1(D, A, B, C) =>  ( ~ (k2_cat_1(A, B, C)=k1_xboole_0)  => k5_cat_1(A, B, B, C, k4_cat_1(A, B), D)=D) ) ) ) ) ) ) ) ) ).
fof(t30_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_cat_1(A, B, B, B, k4_cat_1(A, B), k4_cat_1(A, B))=k4_cat_1(A, B)) ) ) ) ).
fof(d14_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_cat_1(D, A, B, C) =>  (v7_cat_1(D, A, B, C) <=>  ( ~ (k2_cat_1(A, B, C)=k1_xboole_0)  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( ~ (k2_cat_1(A, E, B)=k1_xboole_0)  =>  (! [F] :  (m1_cat_1(F, A, E, B) =>  (! [G] :  (m1_cat_1(G, A, E, B) =>  (k5_cat_1(A, E, B, C, F, D)=k5_cat_1(A, E, B, C, G, D) => F=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_cat_1(D, A, B, C) =>  (v8_cat_1(D, A, B, C) <=>  ( ~ (k2_cat_1(A, B, C)=k1_xboole_0)  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( ~ (k2_cat_1(A, C, E)=k1_xboole_0)  =>  (! [F] :  (m1_cat_1(F, A, C, E) =>  (! [G] :  (m1_cat_1(G, A, C, E) =>  (k5_cat_1(A, B, C, E, D, F)=k5_cat_1(A, B, C, E, D, G) => F=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_cat_1(D, A, B, C) =>  (v9_cat_1(D, A, B, C) <=>  ( ~ (k2_cat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, C, B)=k1_xboole_0)  &  (? [E] :  (m1_cat_1(E, A, C, B) &  (k5_cat_1(A, C, B, C, E, D)=k4_cat_1(A, C) & k5_cat_1(A, B, C, B, D, E)=k4_cat_1(A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_cat_1(D, A, B, C) =>  ( ~ (k2_cat_1(A, B, C)=k1_xboole_0)  =>  (v7_cat_1(D, A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_cat_1(F, A, E, B) =>  (! [G] :  (m1_cat_1(G, A, E, B) =>  (k5_cat_1(A, E, B, C, F, D)=k5_cat_1(A, E, B, C, G, D) =>  (k2_cat_1(A, E, B)=k1_xboole_0 | F=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_cat_1(E, A, B, C) =>  (! [F] :  (m1_cat_1(F, A, C, D) =>  ( (v7_cat_1(E, A, B, C) & v7_cat_1(F, A, C, D))  => v7_cat_1(k5_cat_1(A, B, C, D, E, F), A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_cat_1(E, A, B, C) =>  (! [F] :  (m1_cat_1(F, A, C, D) =>  (v7_cat_1(k5_cat_1(A, B, C, D, E, F), A, B, D) =>  (k2_cat_1(A, B, C)=k1_xboole_0 |  (k2_cat_1(A, C, D)=k1_xboole_0 | v7_cat_1(E, A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_cat_1(D, A, B, C) =>  (! [E] :  (m1_cat_1(E, A, C, B) =>  (k5_cat_1(A, C, B, C, E, D)=k4_cat_1(A, C) =>  (k2_cat_1(A, B, C)=k1_xboole_0 |  (k2_cat_1(A, C, B)=k1_xboole_0 | v7_cat_1(E, A, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v7_cat_1(k4_cat_1(A, B), A, B, B)) ) ) ) ).
fof(t36_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_cat_1(D, A, B, C) =>  ( ~ (k2_cat_1(A, B, C)=k1_xboole_0)  =>  (v8_cat_1(D, A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_cat_1(F, A, C, E) =>  (! [G] :  (m1_cat_1(G, A, C, E) =>  (k5_cat_1(A, B, C, E, D, F)=k5_cat_1(A, B, C, E, D, G) =>  (k2_cat_1(A, C, E)=k1_xboole_0 | F=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_cat_1(E, A, B, C) =>  (! [F] :  (m1_cat_1(F, A, C, D) =>  ( (v8_cat_1(E, A, B, C) & v8_cat_1(F, A, C, D))  => v8_cat_1(k5_cat_1(A, B, C, D, E, F), A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_cat_1(E, A, B, C) =>  (! [F] :  (m1_cat_1(F, A, C, D) =>  (v8_cat_1(k5_cat_1(A, B, C, D, E, F), A, B, D) =>  (k2_cat_1(A, B, C)=k1_xboole_0 |  (k2_cat_1(A, C, D)=k1_xboole_0 | v8_cat_1(F, A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_cat_1(D, A, B, C) =>  (! [E] :  (m1_cat_1(E, A, C, B) =>  (k5_cat_1(A, C, B, C, E, D)=k4_cat_1(A, C) =>  (k2_cat_1(A, B, C)=k1_xboole_0 |  (k2_cat_1(A, C, B)=k1_xboole_0 | v8_cat_1(D, A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v8_cat_1(k4_cat_1(A, B), A, B, B)) ) ) ) ).
fof(t41_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_cat_1(D, A, B, C) =>  ( ~ (k2_cat_1(A, B, C)=k1_xboole_0)  =>  (v9_cat_1(D, A, B, C) <=>  ( ~ (k2_cat_1(A, C, B)=k1_xboole_0)  &  (? [E] :  (m1_cat_1(E, A, C, B) &  (k5_cat_1(A, C, B, C, E, D)=k4_cat_1(A, C) & k5_cat_1(A, B, C, B, D, E)=k4_cat_1(A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_cat_1(D, A, B, C) =>  ~ ( ( ~ (k2_cat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, C, B)=k1_xboole_0)  &  (? [E] :  (m1_cat_1(E, A, C, B) &  (? [F] :  (m1_cat_1(F, A, C, B) &  (k5_cat_1(A, C, B, C, E, D)=k4_cat_1(A, C) &  (k5_cat_1(A, B, C, B, D, F)=k4_cat_1(A, B) &  ~ (E=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_cat_1(D, A, B, C) =>  (v9_cat_1(D, A, B, C) =>  (! [E] :  (m1_cat_1(E, A, C, B) =>  (E=k6_cat_1(A, B, C, D) <=>  (k5_cat_1(A, C, B, C, E, D)=k4_cat_1(A, C) & k5_cat_1(A, B, C, B, D, E)=k4_cat_1(A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_cat_1(D, A, B, C) =>  (v9_cat_1(D, A, B, C) =>  (v7_cat_1(D, A, B, C) & v8_cat_1(D, A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t44_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v9_cat_1(k4_cat_1(A, B), A, B, B)) ) ) ) ).
fof(t45_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_cat_1(E, A, B, C) =>  (! [F] :  (m1_cat_1(F, A, C, D) =>  ( (v9_cat_1(E, A, B, C) & v9_cat_1(F, A, C, D))  => v9_cat_1(k5_cat_1(A, B, C, D, E, F), A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_cat_1(D, A, B, C) =>  (v9_cat_1(D, A, B, C) => v9_cat_1(k6_cat_1(A, B, C, D), A, C, B)) ) ) ) ) ) ) ) ) ).
fof(t47_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_cat_1(E, A, B, C) =>  (! [F] :  (m1_cat_1(F, A, C, D) =>  ( (v9_cat_1(E, A, B, C) & v9_cat_1(F, A, C, D))  => k6_cat_1(A, B, D, k5_cat_1(A, B, C, D, E, F))=k5_cat_1(A, D, C, B, k6_cat_1(A, C, D, F), k6_cat_1(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v10_cat_1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (k2_cat_1(A, C, B)=k1_xboole_0)  &  (? [D] :  (m1_cat_1(D, A, C, B) &  (! [E] :  (m1_cat_1(E, A, C, B) => D=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v11_cat_1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (k2_cat_1(A, B, C)=k1_xboole_0)  &  (? [D] :  (m1_cat_1(D, A, B, C) &  (! [E] :  (m1_cat_1(E, A, B, C) => D=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d20_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_cat_1(A, B, C) <=>  (? [D] :  (m1_cat_1(D, A, B, C) & v9_cat_1(D, A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t48_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_cat_1(A, B, C) <=>  ( ~ (k2_cat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, C, B)=k1_xboole_0)  &  (? [D] :  (m1_cat_1(D, A, B, C) &  (? [E] :  (m1_cat_1(E, A, C, B) &  (k5_cat_1(A, C, B, C, E, D)=k4_cat_1(A, C) & k5_cat_1(A, B, C, B, D, E)=k4_cat_1(A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v11_cat_1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_cat_1(D, A, B, C) & k2_cat_1(A, B, C)=k1_tarski(D)) ) ) ) ) ) ) ) ) ).
fof(t50_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v11_cat_1(B, A) =>  (! [C] :  (m1_cat_1(C, A, B, B) => k4_cat_1(A, B)=C) ) ) ) ) ) ) ).
fof(t51_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v11_cat_1(B, A) & v11_cat_1(C, A))  => r1_cat_1(A, B, C)) ) ) ) ) ) ) ).
fof(t52_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v11_cat_1(B, A) & r1_cat_1(A, B, C))  => v11_cat_1(C, A)) ) ) ) ) ) ) ).
fof(t53_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v10_cat_1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_cat_1(D, A, C, B) & k2_cat_1(A, C, B)=k1_tarski(D)) ) ) ) ) ) ) ) ) ).
fof(t54_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v10_cat_1(B, A) =>  (! [C] :  (m1_cat_1(C, A, B, B) => k4_cat_1(A, B)=C) ) ) ) ) ) ) ).
fof(t55_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v10_cat_1(B, A) & v10_cat_1(C, A))  => r1_cat_1(A, B, C)) ) ) ) ) ) ) ).
fof(t56_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v10_cat_1(C, A) & r1_cat_1(A, B, C))  => v10_cat_1(B, A)) ) ) ) ) ) ) ).
fof(t57_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_cat_1(D, A, B, C) =>  (v10_cat_1(B, A) =>  (k2_cat_1(A, B, C)=k1_xboole_0 | v7_cat_1(D, A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t58_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k3_graph_1(A, k4_cat_1(A, B))=B & k4_graph_1(A, k4_cat_1(A, B))=B) ) ) ) ) ).
fof(t59_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k4_cat_1(A, B)=k4_cat_1(A, C) => B=C) ) ) ) ) ) ) ).
fof(t60_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_cat_1(A, B, C) & r1_cat_1(A, C, D))  => r1_cat_1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d21_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u4_struct_0(A), u4_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B))))) )  =>  (m2_cat_1(C, A, B) <=>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) & k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, k4_cat_1(A, D))=k4_cat_1(B, E)) ) ) )  &  ( (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, k4_cat_1(A, k3_graph_1(A, D)))=k4_cat_1(B, k3_graph_1(B, k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, D))) & k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, k4_cat_1(A, k4_graph_1(A, D)))=k4_cat_1(B, k4_graph_1(B, k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, D)))) ) )  &  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (r2_hidden(k4_tarski(E, D), k9_xtuple_0(u1_cat_1(A))) => k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, k1_cat_1(A, D, E))=k1_cat_1(B, k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, D), k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u4_struct_0(A), u4_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B))))) )  =>  ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) & k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, k4_cat_1(A, D))=k4_cat_1(B, E)) ) ) )  &  ( (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, k4_cat_1(A, k3_graph_1(A, D)))=k4_cat_1(B, k3_graph_1(B, k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, D))) & k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, k4_cat_1(A, k4_graph_1(A, D)))=k4_cat_1(B, k4_graph_1(B, k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, D)))) ) )  &  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (k3_graph_1(A, E)=k4_graph_1(A, D) => k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, k1_cat_1(A, D, E))=k1_cat_1(B, k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, D), k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, E))) ) ) ) ) ) )  => m2_cat_1(C, A, B)) ) ) ) ) ) ) ).
fof(t62_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) & k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, k4_cat_1(A, D))=k4_cat_1(B, E)) ) ) ) ) ) ) ) ) ) ).
fof(t63_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, k4_cat_1(A, k3_graph_1(A, D)))=k4_cat_1(B, k3_graph_1(B, k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, D))) & k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, k4_cat_1(A, k4_graph_1(A, D)))=k4_cat_1(B, k4_graph_1(B, k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, D)))) ) ) ) ) ) ) ) ) ).
fof(t64_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (k3_graph_1(A, E)=k4_graph_1(A, D) =>  (k3_graph_1(B, k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, E))=k4_graph_1(B, k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, D)) & k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, k1_cat_1(A, D, E))=k1_cat_1(B, k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, D), k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u4_struct_0(A), u4_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ( ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, k4_cat_1(A, E))=k4_cat_1(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), D, E))) )  &  ( (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (k3_funct_2(u1_struct_0(A), u1_struct_0(B), D, k3_graph_1(A, E))=k3_graph_1(B, k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, E)) & k3_funct_2(u1_struct_0(A), u1_struct_0(B), D, k4_graph_1(A, E))=k4_graph_1(B, k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, E))) ) )  &  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u4_struct_0(A)) =>  (k3_graph_1(A, F)=k4_graph_1(A, E) => k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, k1_cat_1(A, E, F))=k1_cat_1(B, k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, E), k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, F))) ) ) ) ) ) )  => m2_cat_1(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(d22_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u4_struct_0(A), u4_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B))))) )  =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) & k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, k4_cat_1(A, D))=k4_cat_1(B, E)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (D=k7_cat_1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, k4_cat_1(A, E))=k4_cat_1(B, F) => k3_funct_2(u1_struct_0(A), u1_struct_0(B), D, E)=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u4_struct_0(A), u4_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B))))) )  =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) & k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, k4_cat_1(A, D))=k4_cat_1(B, E)) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, k4_cat_1(A, D))=k4_cat_1(B, E) => k3_funct_2(u1_struct_0(A), u1_struct_0(B), k7_cat_1(A, B, C), D)=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, k4_cat_1(A, D))=k4_cat_1(B, E) => k3_funct_2(u1_struct_0(A), u1_struct_0(B), k7_cat_1(A, B, C), D)=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, k4_cat_1(A, D))=k4_cat_1(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), k7_cat_1(A, B, C), D))) ) ) ) ) ) ) ) ).
fof(t69_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (k3_funct_2(u1_struct_0(A), u1_struct_0(B), k7_cat_1(A, B, C), k3_graph_1(A, D))=k3_graph_1(B, k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, D)) & k3_funct_2(u1_struct_0(A), u1_struct_0(B), k7_cat_1(A, B, C), k4_graph_1(A, D))=k4_graph_1(B, k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, D))) ) ) ) ) ) ) ) ) ).
fof(d23_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k8_cat_1(A, B, C, D)=k3_funct_2(u1_struct_0(A), u1_struct_0(B), k7_cat_1(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t70_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, k4_cat_1(A, D))=k4_cat_1(B, E) => k8_cat_1(A, B, C, D)=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, k4_cat_1(A, D))=k4_cat_1(B, k8_cat_1(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t72_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (k8_cat_1(A, B, C, k3_graph_1(A, D))=k3_graph_1(B, k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, D)) & k8_cat_1(A, B, C, k4_graph_1(A, D))=k4_graph_1(B, k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, D))) ) ) ) ) ) ) ) ) ).
fof(t73_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, B, C) => m2_cat_1(k1_partfun1(u4_struct_0(A), u4_struct_0(B), u4_struct_0(B), u4_struct_0(C), D, E), A, C)) ) ) ) ) ) ) ) ) ) ).
fof(t74_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  => m2_cat_1(k6_partfun1(u4_struct_0(A)), A, A)) ) ).
fof(t75_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, B, C) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(C), k7_cat_1(A, C, k9_cat_1(A, B, C, D, E)), F)=k3_funct_2(u1_struct_0(B), u1_struct_0(C), k7_cat_1(B, C, E), k3_funct_2(u1_struct_0(A), u1_struct_0(B), k7_cat_1(A, B, D), F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t76_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, B, C) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => k8_cat_1(A, C, k9_cat_1(A, B, C, D, E), F)=k8_cat_1(B, C, E, k8_cat_1(A, B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d24_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  => k10_cat_1(A)=k6_partfun1(u4_struct_0(A))) ) ).
fof(t77_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(A), k7_cat_1(A, A, k10_cat_1(A)), B)=B) ) ) ) ).
fof(t78_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  => r2_funct_2(u1_struct_0(A), u1_struct_0(A), k7_cat_1(A, A, k10_cat_1(A)), k6_partfun1(u1_struct_0(A)))) ) ).
fof(t79_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k8_cat_1(A, A, k10_cat_1(A), B)=B) ) ) ) ).
fof(d25_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (v12_cat_1(C, A, B) <=>  (v2_funct_1(C) &  (k10_xtuple_0(C)=u4_struct_0(B) & k10_xtuple_0(k7_cat_1(A, B, C))=u1_struct_0(B)) ) ) ) ) ) ) ) ) ).
fof(d26_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (v13_cat_1(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( ~ (k2_cat_1(B, k8_cat_1(A, B, C, D), k8_cat_1(A, B, C, E))=k1_xboole_0)  =>  (! [F] :  (m1_cat_1(F, B, k8_cat_1(A, B, C, D), k8_cat_1(A, B, C, E)) =>  ( ~ (k2_cat_1(A, D, E)=k1_xboole_0)  &  (? [G] :  (m1_cat_1(G, A, D, E) & F=k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d27_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (v14_cat_1(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( ~ (k2_cat_1(A, D, E)=k1_xboole_0)  =>  (! [F] :  (m1_cat_1(F, A, D, E) =>  (! [G] :  (m1_cat_1(G, A, D, E) =>  (k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, F)=k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, G) => F=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t80_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  => v12_cat_1(k10_cat_1(A), A, A)) ) ).
fof(t81_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (r2_tarski(F, k2_cat_1(A, D, E)) => r2_tarski(k1_funct_1(C, F), k2_cat_1(B, k8_cat_1(A, B, C, D), k8_cat_1(A, B, C, E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t82_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( ~ (k2_cat_1(A, D, E)=k1_xboole_0)  =>  (! [F] :  (m1_cat_1(F, A, D, E) => r2_tarski(k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, F), k2_cat_1(B, k8_cat_1(A, B, C, D), k8_cat_1(A, B, C, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t83_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( ~ (k2_cat_1(A, D, E)=k1_xboole_0)  =>  (! [F] :  (m1_cat_1(F, A, D, E) => m1_cat_1(k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, F), B, k8_cat_1(A, B, C, D), k8_cat_1(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t84_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (k2_cat_1(A, D, E)=k1_xboole_0)  & k2_cat_1(B, k8_cat_1(A, B, C, D), k8_cat_1(A, B, C, E))=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t85_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, B, C) =>  ( (v13_cat_1(D, A, B) & v13_cat_1(E, B, C))  => v13_cat_1(k9_cat_1(A, B, C, D, E), A, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t86_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, B, C) =>  ( (v14_cat_1(D, A, B) & v14_cat_1(E, B, C))  => v14_cat_1(k9_cat_1(A, B, C, D, E), A, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t87_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => r1_tarski(k7_relat_1(C, k2_cat_1(A, D, E)), k2_cat_1(B, k8_cat_1(A, B, C, D), k8_cat_1(A, B, C, E)))) ) ) ) ) ) ) ) ) ) ).
fof(d28_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k11_cat_1(A, B, C, D, E)=k2_partfun1(u4_struct_0(A), u4_struct_0(B), C, k2_cat_1(A, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t88_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( ~ (k2_cat_1(A, D, E)=k1_xboole_0)  =>  (! [F] :  (m1_cat_1(F, A, D, E) => k1_funct_1(k11_cat_1(A, B, C, D, E), F)=k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t89_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (v13_cat_1(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k10_xtuple_0(k11_cat_1(A, B, C, D, E))=k2_cat_1(B, k8_cat_1(A, B, C, D), k8_cat_1(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t90_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (v14_cat_1(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => v2_funct_1(k11_cat_1(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t91_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (k2_cat_1(A, B, C)=k1_xboole_0)  &  (! [D] :  (m1_cat_1(D, A, B, C) =>  ~ (r2_tarski(D, k2_cat_1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(abstractness_v1_cat_1, axiom,  (! [A] :  (l1_cat_1(A) =>  (v1_cat_1(A) => A=g1_cat_1(u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A))) ) ) ).
fof(dt_l1_cat_1, axiom,  (! [A] :  (l1_cat_1(A) => l1_graph_1(A)) ) ).
fof(existence_l1_cat_1, axiom,  (? [A] : l1_cat_1(A)) ).
fof(dt_g1_cat_1, axiom,  (! [A, B, C, D, E] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, B, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) ) )  =>  (v1_cat_1(g1_cat_1(A, B, C, D, E)) & l1_cat_1(g1_cat_1(A, B, C, D, E))) ) ) ).
fof(free_g1_cat_1, axiom,  (! [A, B, C, D, E] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, B, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) ) )  =>  (! [F, G, H, I, J] :  (g1_cat_1(A, B, C, D, E)=g1_cat_1(F, G, H, I, J) =>  (A=F &  (B=G &  (C=H &  (D=I & E=J) ) ) ) ) ) ) ) ).
fof(dt_u1_cat_1, axiom,  (! [A] :  (l1_cat_1(A) =>  (v1_funct_1(u1_cat_1(A)) & m1_subset_1(u1_cat_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), u4_struct_0(A)), u4_struct_0(A))))) ) ) ).
fof(dt_k1_cat_1, axiom,  (! [A, B, C] :  ( (l1_cat_1(A) &  (m1_subset_1(B, u4_struct_0(A)) & m1_subset_1(C, u4_struct_0(A))) )  => m1_subset_1(k1_cat_1(A, B, C), u4_struct_0(A))) ) ).
fof(dt_k2_cat_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_cat_1(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k2_cat_1(A, B, C), k1_zfmisc_1(u4_struct_0(A)))) ) ).
fof(dt_m1_cat_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_cat_1(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (! [D] :  (m1_cat_1(D, A, B, C) => m1_subset_1(D, u4_struct_0(A))) ) ) ) ).
fof(existence_m1_cat_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_cat_1(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (? [D] : m1_cat_1(D, A, B, C)) ) ) ).
fof(dt_k3_cat_1, axiom,  (! [A, B] :  (v1_cat_1(k3_cat_1(A, B)) & l1_cat_1(k3_cat_1(A, B))) ) ).
fof(dt_k4_cat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_cat_1(k4_cat_1(A, B), A, B, B)) ) ).
fof(dt_k5_cat_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) &  (m1_subset_1(D, u1_struct_0(A)) &  (m1_cat_1(E, A, B, C) & m1_cat_1(F, A, C, D)) ) ) ) )  => m1_cat_1(k5_cat_1(A, B, C, D, E, F), A, B, D)) ) ).
fof(dt_k6_cat_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) & m1_cat_1(D, A, B, C)) ) )  => m1_cat_1(k6_cat_1(A, B, C, D), A, C, B)) ) ).
fof(symmetry_r1_cat_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r1_cat_1(A, B, C) => r1_cat_1(A, C, B)) ) ) ).
fof(reflexivity_r1_cat_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => r1_cat_1(A, B, B)) ) ).
fof(dt_m2_cat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (v1_funct_1(C) &  (v1_funct_2(C, u4_struct_0(A), u4_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B))))) ) ) ) ) ) ).
fof(existence_m2_cat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) ) )  =>  (? [C] : m2_cat_1(C, A, B)) ) ) ).
fof(dt_k7_cat_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u4_struct_0(A), u4_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B))))) ) ) )  =>  (v1_funct_1(k7_cat_1(A, B, C)) &  (v1_funct_2(k7_cat_1(A, B, C), u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(k7_cat_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ).
fof(dt_k8_cat_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  (m2_cat_1(C, A, B) & m1_subset_1(D, u1_struct_0(A))) ) )  => m1_subset_1(k8_cat_1(A, B, C, D), u1_struct_0(B))) ) ).
fof(dt_k9_cat_1, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  (m2_cat_1(D, A, B) & m2_cat_1(E, B, C)) ) ) )  => m2_cat_1(k9_cat_1(A, B, C, D, E), A, C)) ) ).
fof(redefinition_k9_cat_1, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  (m2_cat_1(D, A, B) & m2_cat_1(E, B, C)) ) ) )  => k9_cat_1(A, B, C, D, E)=k3_relat_1(D, E)) ) ).
fof(dt_k10_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  => m2_cat_1(k10_cat_1(A), A, A)) ) ).
fof(dt_k11_cat_1, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  (m2_cat_1(C, A, B) &  (m1_subset_1(D, u1_struct_0(A)) & m1_subset_1(E, u1_struct_0(A))) ) ) )  =>  (v1_funct_1(k11_cat_1(A, B, C, D, E)) &  (v1_funct_2(k11_cat_1(A, B, C, D, E), k2_cat_1(A, D, E), k2_cat_1(B, k8_cat_1(A, B, C, D), k8_cat_1(A, B, C, E))) & m1_subset_1(k11_cat_1(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k2_cat_1(A, D, E), k2_cat_1(B, k8_cat_1(A, B, C, D), k8_cat_1(A, B, C, E)))))) ) ) ) ).
fof(d4_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_cat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_cat_1(A, B, C)=a_3_0_cat_1(A, B, C)) ) ) ) ) ) ).
fof(t92_cat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  => u4_struct_0(A)=k3_tarski(a_1_0_cat_1(A))) ) ).
fof(fraenkel_a_3_0_cat_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_cat_1(B)) )  &  (m1_subset_1(C, u1_struct_0(B)) & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_0_cat_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u4_struct_0(B)) &  (A=E &  (k3_graph_1(B, E)=C & k4_graph_1(B, E)=D) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_cat_1, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (r2_hidden(A, a_1_0_cat_1(B)) <=>  (? [C, D] :  ( (m1_subset_1(C, u1_struct_0(B)) & m1_subset_1(D, u1_struct_0(B)))  & A=k2_cat_1(B, C, D)) ) ) ) ) ).
fof(fc1_cat_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) ) )  =>  ~ (v1_xboole_0(k2_cat_2(A, B))) ) ) ).
fof(rc1_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (? [B] :  (m3_cat_2(B, A) &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v14_struct_0(B) &  (v1_cat_1(B) &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) & v6_cat_1(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (? [B] :  (m3_cat_2(B, A) &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v14_struct_0(B) &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & v1_cat_2(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc2_cat_2, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) ) ) ) )  =>  ( ~ (v2_struct_0(g1_cat_1(A, B, C, D, E)))  &  ( ~ (v11_struct_0(g1_cat_1(A, B, C, D, E)))  & v1_cat_1(g1_cat_1(A, B, C, D, E))) ) ) ) ).
fof(d1_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k1_cat_2(A, B, C)=k8_funcop_1(u4_struct_0(B), u4_struct_0(A), k4_cat_1(B, C))) ) ) ) ) ) ).
fof(t5_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(B), k7_cat_1(A, B, k1_cat_2(A, B, C)), D)=C) ) ) ) ) ) ) ) ).
fof(d2_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (C=k2_cat_2(A, B) <=>  (! [D] :  (r2_tarski(D, C) <=> m2_cat_1(D, A, B)) ) ) ) ) ) ) ) ).
fof(d3_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (m1_cat_2(C, A, B) <=>  (! [D] :  (m1_subset_1(D, C) => m2_cat_1(D, A, B)) ) ) ) ) ) ) ) ) ).
fof(d4_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (m3_cat_2(B, A) <=>  (r1_tarski(u1_struct_0(B), u1_struct_0(A)) &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (C=E & D=F)  => r1_tarski(k2_cat_1(B, C, D), k2_cat_1(A, E, F))) ) ) ) ) ) ) ) )  &  (r1_tarski(u1_cat_1(B), u1_cat_1(A)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (C=D => k4_cat_1(B, C)=k4_cat_1(A, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m3_cat_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => m1_subset_1(C, u1_struct_0(A))) ) ) ) ) ) ).
fof(t7_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m3_cat_2(B, A) => r1_tarski(u4_struct_0(B), u4_struct_0(A))) ) ) ) ).
fof(t8_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m3_cat_2(B, A) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(B)) => m1_subset_1(C, u4_struct_0(A))) ) ) ) ) ) ).
fof(t9_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m3_cat_2(B, A) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (C=D =>  (k3_graph_1(B, C)=k3_graph_1(A, D) & k4_graph_1(B, C)=k4_graph_1(A, D)) ) ) ) ) ) ) ) ) ) ).
fof(t10_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m3_cat_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_cat_1(G, B, C, D) =>  ( (C=E & D=F)  =>  (k2_cat_1(B, C, D)=k1_xboole_0 | m1_cat_1(G, A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m3_cat_2(B, A) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u4_struct_0(A)) =>  ( (C=E &  (D=F & k3_graph_1(B, D)=k4_graph_1(B, C)) )  => k1_cat_1(B, C, D)=k1_cat_1(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  => m3_cat_2(A, A)) ) ).
fof(t13_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m3_cat_2(B, A) => m2_cat_1(k10_cat_1(B), B, A)) ) ) ) ).
fof(d5_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m3_cat_2(B, A) => k5_cat_2(A, B)=k10_cat_1(B)) ) ) ) ).
fof(t14_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m3_cat_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k3_funct_2(u1_struct_0(B), u1_struct_0(A), k7_cat_1(B, A, k5_cat_2(A, B)), C)=C) ) ) ) ) ) ).
fof(t15_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m3_cat_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k8_cat_1(B, A, k5_cat_2(A, B), C)=C) ) ) ) ) ) ).
fof(t16_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m3_cat_2(B, A) => v14_cat_1(k5_cat_2(A, B), B, A)) ) ) ) ).
fof(t17_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m3_cat_2(B, A) =>  (v13_cat_1(k5_cat_2(A, B), B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (C=E & D=F)  => k2_cat_1(B, C, D)=k2_cat_1(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m3_cat_2(B, A) =>  (v1_cat_2(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (C=E & D=F)  => k2_cat_1(B, C, D)=k2_cat_1(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m3_cat_2(B, A) =>  (v1_cat_2(B, A) <=> v13_cat_1(k5_cat_2(A, B), B, A)) ) ) ) ) ).
fof(d7_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  => k6_cat_2(A, B)=g1_cat_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B)), k16_funct_3(u4_struct_0(A), u4_struct_0(B), u1_struct_0(A), u1_struct_0(B), u1_graph_1(A), u1_graph_1(B)), k16_funct_3(u4_struct_0(A), u4_struct_0(B), u1_struct_0(A), u1_struct_0(B), u2_graph_1(A), u2_graph_1(B)), k10_funct_4(u4_struct_0(A), u4_struct_0(B), u1_cat_1(A), u1_cat_1(B)))) ) ) ) ).
fof(t23_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (u1_struct_0(k6_cat_2(A, B))=k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)) &  (u4_struct_0(k6_cat_2(A, B))=k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B)) &  (r1_funct_2(u4_struct_0(k6_cat_2(A, B)), u1_struct_0(k6_cat_2(A, B)), k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_graph_1(k6_cat_2(A, B)), k16_funct_3(u4_struct_0(A), u4_struct_0(B), u1_struct_0(A), u1_struct_0(B), u1_graph_1(A), u1_graph_1(B))) &  (r1_funct_2(u4_struct_0(k6_cat_2(A, B)), u1_struct_0(k6_cat_2(A, B)), k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u2_graph_1(k6_cat_2(A, B)), k16_funct_3(u4_struct_0(A), u4_struct_0(B), u1_struct_0(A), u1_struct_0(B), u2_graph_1(A), u2_graph_1(B))) & u1_cat_1(k6_cat_2(A, B))=k10_funct_4(u4_struct_0(A), u4_struct_0(B), u1_cat_1(A), u1_cat_1(B))) ) ) ) ) ) ) ) ).
fof(t25_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k6_cat_2(A, B))) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) & C=k7_cat_2(A, B, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(t27_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(k6_cat_2(A, B))) =>  (? [D] :  (m1_subset_1(D, u4_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u4_struct_0(B)) & C=k8_cat_2(A, B, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(t28_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(B)) =>  (k3_graph_1(k6_cat_2(A, B), k8_cat_2(A, B, C, D))=k7_cat_2(A, B, k3_graph_1(A, C), k3_graph_1(B, D)) & k4_graph_1(k6_cat_2(A, B), k8_cat_2(A, B, C, D))=k7_cat_2(A, B, k4_graph_1(A, C), k4_graph_1(B, D))) ) ) ) ) ) ) ) ) ).
fof(t29_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u4_struct_0(B)) =>  ( (k3_graph_1(A, D)=k4_graph_1(A, C) & k3_graph_1(B, F)=k4_graph_1(B, E))  => k1_cat_1(k6_cat_2(A, B), k8_cat_2(A, B, C, E), k8_cat_2(A, B, D, F))=k8_cat_2(A, B, k1_cat_1(A, C, D), k1_cat_1(B, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u4_struct_0(B)) =>  (k3_graph_1(k6_cat_2(A, B), k8_cat_2(A, B, D, F))=k4_graph_1(k6_cat_2(A, B), k8_cat_2(A, B, C, E)) => k1_cat_1(k6_cat_2(A, B), k8_cat_2(A, B, C, E), k8_cat_2(A, B, D, F))=k8_cat_2(A, B, k1_cat_1(A, C, D), k1_cat_1(B, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k4_cat_1(k6_cat_2(A, B), k7_cat_2(A, B, C, D))=k8_cat_2(A, B, k4_cat_1(A, C), k4_cat_1(B, D))) ) ) ) ) ) ) ) ).
fof(t32_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) => k2_cat_1(k6_cat_2(A, B), k7_cat_2(A, B, C, E), k7_cat_2(A, B, D, F))=k2_zfmisc_1(k2_cat_1(A, C, D), k2_cat_1(B, E, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_cat_1(E, A, C, D) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_cat_1(H, B, F, G) =>  ~ ( ( ~ (k2_cat_1(A, C, D)=k1_xboole_0)  &  ( ~ (k2_cat_1(B, F, G)=k1_xboole_0)  &  ~ (m1_cat_1(k8_cat_2(A, B, E, H), k6_cat_2(A, B), k7_cat_2(A, B, C, F), k7_cat_2(A, B, D, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, k6_cat_2(A, C), B) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => m2_cat_1(k1_funct_1(k1_funct_5(D), k4_cat_1(A, E)), C, B)) ) ) ) ) ) ) ) ) ) ).
fof(t35_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, k6_cat_2(A, C), B) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) => m2_cat_1(k1_funct_1(k3_funct_5(D), k4_cat_1(C, E)), A, B)) ) ) ) ) ) ) ) ) ) ).
fof(d8_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, k6_cat_2(A, B), C) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k10_cat_2(A, B, C, D, E)=k1_funct_1(k1_funct_5(D), k4_cat_1(A, E))) ) ) ) ) ) ) ) ) ) ).
fof(t36_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, k6_cat_2(A, C), B) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u4_struct_0(C)) => k3_funct_2(u4_struct_0(C), u4_struct_0(B), k10_cat_2(A, C, B, D, E), F)=k9_cat_2(A, C, B, D, k4_cat_1(A, E), F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, k6_cat_2(A, C), B) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) => k3_funct_2(u1_struct_0(C), u1_struct_0(B), k7_cat_1(C, B, k10_cat_2(A, C, B, D, E)), F)=k1_binop_1(k7_cat_1(k6_cat_2(A, C), B, D), E, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, k6_cat_2(A, B), C) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => k11_cat_2(A, B, C, D, E)=k1_funct_1(k3_funct_5(D), k4_cat_1(B, E))) ) ) ) ) ) ) ) ) ) ).
fof(t38_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, k6_cat_2(A, C), B) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (m1_subset_1(F, u4_struct_0(A)) => k3_funct_2(u4_struct_0(A), u4_struct_0(B), k11_cat_2(A, C, B, D, E), F)=k9_cat_2(A, C, B, D, F, k4_cat_1(C, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, k6_cat_2(A, C), B) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) => k3_funct_2(u1_struct_0(A), u1_struct_0(B), k7_cat_1(A, B, k11_cat_2(A, C, B, D, F)), E)=k1_binop_1(k7_cat_1(k6_cat_2(A, C), B, D), E, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), k4_cat_2(A, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k4_cat_2(A, C))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), k4_cat_2(B, C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k4_cat_2(B, C))))) )  =>  ~ ( ( (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) => k3_funct_2(u4_struct_0(B), u4_struct_0(C), k3_cat_2(u1_struct_0(A), B, C, k4_cat_2(B, C), E, G), k4_cat_1(B, F))=k3_funct_2(u4_struct_0(A), u4_struct_0(C), k3_cat_2(u1_struct_0(B), A, C, k4_cat_2(A, C), D, F), k4_cat_1(A, G))) ) ) )  &  ( (! [F] :  (m1_subset_1(F, u4_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u4_struct_0(B)) => k1_cat_1(C, k3_funct_2(u4_struct_0(A), u4_struct_0(C), k3_cat_2(u1_struct_0(B), A, C, k4_cat_2(A, C), D, k3_graph_1(B, G)), F), k3_funct_2(u4_struct_0(B), u4_struct_0(C), k3_cat_2(u1_struct_0(A), B, C, k4_cat_2(B, C), E, k4_graph_1(A, F)), G))=k1_cat_1(C, k3_funct_2(u4_struct_0(B), u4_struct_0(C), k3_cat_2(u1_struct_0(A), B, C, k4_cat_2(B, C), E, k3_graph_1(A, F)), G), k3_funct_2(u4_struct_0(A), u4_struct_0(C), k3_cat_2(u1_struct_0(B), A, C, k4_cat_2(A, C), D, k4_graph_1(B, G)), F))) ) ) )  &  (! [F] :  (m2_cat_1(F, k6_cat_2(A, B), C) =>  ~ ( (! [G] :  (m1_subset_1(G, u4_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u4_struct_0(B)) => k9_cat_2(A, B, C, F, G, H)=k1_cat_1(C, k3_funct_2(u4_struct_0(B), u4_struct_0(C), k3_cat_2(u1_struct_0(A), B, C, k4_cat_2(B, C), E, k3_graph_1(A, G)), H), k3_funct_2(u4_struct_0(A), u4_struct_0(C), k3_cat_2(u1_struct_0(B), A, C, k4_cat_2(A, C), D, k4_graph_1(B, H)), G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), k4_cat_2(A, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k4_cat_2(A, C))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), k4_cat_2(B, C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k4_cat_2(B, C))))) )  =>  ( (? [F] :  (m2_cat_1(F, k6_cat_2(A, B), C) &  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (r2_funct_2(u4_struct_0(A), u4_struct_0(C), k11_cat_2(A, B, C, F, G), k3_cat_2(u1_struct_0(B), A, C, k4_cat_2(A, C), D, G)) & r2_funct_2(u4_struct_0(B), u4_struct_0(C), k10_cat_2(A, B, C, F, H), k3_cat_2(u1_struct_0(A), B, C, k4_cat_2(B, C), E, H))) ) ) ) ) ) )  =>  (! [F] :  (m1_subset_1(F, u4_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u4_struct_0(B)) => k1_cat_1(C, k3_funct_2(u4_struct_0(A), u4_struct_0(C), k3_cat_2(u1_struct_0(B), A, C, k4_cat_2(A, C), D, k3_graph_1(B, G)), F), k3_funct_2(u4_struct_0(B), u4_struct_0(C), k3_cat_2(u1_struct_0(A), B, C, k4_cat_2(B, C), E, k4_graph_1(A, F)), G))=k1_cat_1(C, k3_funct_2(u4_struct_0(B), u4_struct_0(C), k3_cat_2(u1_struct_0(A), B, C, k4_cat_2(B, C), E, k3_graph_1(A, F)), G), k3_funct_2(u4_struct_0(A), u4_struct_0(C), k3_cat_2(u1_struct_0(B), A, C, k4_cat_2(A, C), D, k4_graph_1(B, G)), F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  => k12_cat_2(A, B)=k9_funct_3(u4_struct_0(A), u4_struct_0(B))) ) ) ) ).
fof(d11_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  => k13_cat_2(A, B)=k10_funct_3(u4_struct_0(A), u4_struct_0(B))) ) ) ) ).
fof(t44_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k1_binop_1(k7_cat_1(k6_cat_2(A, B), A, k12_cat_2(A, B)), C, D)=C) ) ) ) ) ) ) ) ).
fof(t45_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k1_binop_1(k7_cat_1(k6_cat_2(A, B), B, k13_cat_2(A, B)), C, D)=D) ) ) ) ) ) ) ) ).
fof(t47_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, A, C) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(k6_cat_2(B, C)), k7_cat_1(A, k6_cat_2(B, C), k14_cat_2(A, B, C, D, E)), F)=k7_cat_2(B, C, k3_funct_2(u1_struct_0(A), u1_struct_0(B), k7_cat_1(A, B, D), F), k3_funct_2(u1_struct_0(A), u1_struct_0(C), k7_cat_1(A, C, E), F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_cat_1(D) &  (v3_cat_1(D) &  (v4_cat_1(D) &  (v5_cat_1(D) &  (v6_cat_1(D) & l1_cat_1(D)) ) ) ) ) ) )  =>  (! [E] :  (m2_cat_1(E, A, B) =>  (! [F] :  (m2_cat_1(F, C, D) => r1_funct_2(k2_zfmisc_1(u4_struct_0(A), u4_struct_0(C)), k2_zfmisc_1(u4_struct_0(B), u4_struct_0(D)), u4_struct_0(k6_cat_2(A, C)), u4_struct_0(k6_cat_2(B, D)), k16_funct_3(u4_struct_0(A), u4_struct_0(C), u4_struct_0(B), u4_struct_0(D), E, F), k14_cat_2(k6_cat_2(A, C), B, D, k9_cat_1(k6_cat_2(A, C), A, B, k12_cat_2(A, C), E), k9_cat_1(k6_cat_2(A, C), C, D, k13_cat_2(A, C), F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_cat_1(D) &  (v3_cat_1(D) &  (v4_cat_1(D) &  (v5_cat_1(D) &  (v6_cat_1(D) & l1_cat_1(D)) ) ) ) ) ) )  =>  (! [E] :  (m2_cat_1(E, A, B) =>  (! [F] :  (m2_cat_1(F, C, D) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(C)) => k1_binop_1(k7_cat_1(k6_cat_2(A, C), k6_cat_2(B, D), k15_cat_2(A, C, B, D, E, F)), G, H)=k7_cat_2(B, D, k3_funct_2(u1_struct_0(A), u1_struct_0(B), k7_cat_1(A, B, E), G), k3_funct_2(u1_struct_0(C), u1_struct_0(D), k7_cat_1(C, D, F), H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_cat_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  & m1_subset_1(C, u1_struct_0(B))) )  => m2_cat_1(k1_cat_2(A, B, C), A, B)) ) ).
fof(dt_m1_cat_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) ) )  =>  (! [C] :  (m1_cat_2(C, A, B) =>  ~ (v1_xboole_0(C)) ) ) ) ) ).
fof(existence_m1_cat_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) ) )  =>  (? [C] : m1_cat_2(C, A, B)) ) ) ).
fof(dt_m2_cat_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  & m1_cat_2(C, A, B)) )  =>  (! [D] :  (m2_cat_2(D, A, B, C) => m2_cat_1(D, A, B)) ) ) ) ).
fof(existence_m2_cat_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  & m1_cat_2(C, A, B)) )  =>  (? [D] : m2_cat_2(D, A, B, C)) ) ) ).
fof(redefinition_m2_cat_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  & m1_cat_2(C, A, B)) )  =>  (! [D] :  (m2_cat_2(D, A, B, C) <=> m1_subset_1(D, C)) ) ) ) ).
fof(dt_k3_cat_2, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  (m1_cat_2(D, B, C) &  ( (v1_funct_1(E) &  (v1_funct_2(E, A, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, D)))) )  & m1_subset_1(F, A)) ) ) ) )  => m2_cat_2(k3_cat_2(A, B, C, D, E, F), B, C, D)) ) ).
fof(redefinition_k3_cat_2, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  (m1_cat_2(D, B, C) &  ( (v1_funct_1(E) &  (v1_funct_2(E, A, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, D)))) )  & m1_subset_1(F, A)) ) ) ) )  => k3_cat_2(A, B, C, D, E, F)=k1_funct_1(E, F)) ) ).
fof(dt_k4_cat_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) ) )  => m1_cat_2(k4_cat_2(A, B), A, B)) ) ).
fof(redefinition_k4_cat_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) ) )  => k4_cat_2(A, B)=k2_cat_2(A, B)) ) ).
fof(dt_m3_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m3_cat_2(B, A) =>  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(existence_m3_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (? [B] : m3_cat_2(B, A)) ) ) ).
fof(dt_k5_cat_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  & m3_cat_2(B, A))  => m2_cat_1(k5_cat_2(A, B), B, A)) ) ).
fof(dt_k6_cat_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k6_cat_2(A, B)))  &  ( ~ (v11_struct_0(k6_cat_2(A, B)))  &  (v2_cat_1(k6_cat_2(A, B)) &  (v3_cat_1(k6_cat_2(A, B)) &  (v4_cat_1(k6_cat_2(A, B)) &  (v5_cat_1(k6_cat_2(A, B)) &  (v6_cat_1(k6_cat_2(A, B)) & l1_cat_1(k6_cat_2(A, B))) ) ) ) ) ) ) ) ) ).
fof(dt_k7_cat_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, u1_struct_0(B))) ) )  => m1_subset_1(k7_cat_2(A, B, C, D), u1_struct_0(k6_cat_2(A, B)))) ) ).
fof(redefinition_k7_cat_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, u1_struct_0(B))) ) )  => k7_cat_2(A, B, C, D)=k4_tarski(C, D)) ) ).
fof(dt_k8_cat_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  (m1_subset_1(C, u4_struct_0(A)) & m1_subset_1(D, u4_struct_0(B))) ) )  => m1_subset_1(k8_cat_2(A, B, C, D), u4_struct_0(k6_cat_2(A, B)))) ) ).
fof(redefinition_k8_cat_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  (m1_subset_1(C, u4_struct_0(A)) & m1_subset_1(D, u4_struct_0(B))) ) )  => k8_cat_2(A, B, C, D)=k4_tarski(C, D)) ) ).
fof(dt_k9_cat_2, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  (m2_cat_1(D, k6_cat_2(A, B), C) &  (m1_subset_1(E, u4_struct_0(A)) & m1_subset_1(F, u4_struct_0(B))) ) ) ) )  => m1_subset_1(k9_cat_2(A, B, C, D, E, F), u4_struct_0(C))) ) ).
fof(redefinition_k9_cat_2, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  (m2_cat_1(D, k6_cat_2(A, B), C) &  (m1_subset_1(E, u4_struct_0(A)) & m1_subset_1(F, u4_struct_0(B))) ) ) ) )  => k9_cat_2(A, B, C, D, E, F)=k1_binop_1(D, E, F)) ) ).
fof(dt_k10_cat_2, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  (m2_cat_1(D, k6_cat_2(A, B), C) & m1_subset_1(E, u1_struct_0(A))) ) ) )  => m2_cat_1(k10_cat_2(A, B, C, D, E), B, C)) ) ).
fof(dt_k11_cat_2, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  (m2_cat_1(D, k6_cat_2(A, B), C) & m1_subset_1(E, u1_struct_0(B))) ) ) )  => m2_cat_1(k11_cat_2(A, B, C, D, E), A, C)) ) ).
fof(dt_k12_cat_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) ) )  => m2_cat_1(k12_cat_2(A, B), k6_cat_2(A, B), A)) ) ).
fof(dt_k13_cat_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) ) )  => m2_cat_1(k13_cat_2(A, B), k6_cat_2(A, B), B)) ) ).
fof(dt_k14_cat_2, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  (m2_cat_1(D, A, B) & m2_cat_1(E, A, C)) ) ) )  => m2_cat_1(k14_cat_2(A, B, C, D, E), A, k6_cat_2(B, C))) ) ).
fof(redefinition_k14_cat_2, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  (m2_cat_1(D, A, B) & m2_cat_1(E, A, C)) ) ) )  => k14_cat_2(A, B, C, D, E)=k13_funct_3(D, E)) ) ).
fof(dt_k15_cat_2, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_cat_1(D) &  (v3_cat_1(D) &  (v4_cat_1(D) &  (v5_cat_1(D) &  (v6_cat_1(D) & l1_cat_1(D)) ) ) ) ) ) )  &  (m2_cat_1(E, A, C) & m2_cat_1(F, B, D)) ) ) ) )  => m2_cat_1(k15_cat_2(A, B, C, D, E, F), k6_cat_2(A, B), k6_cat_2(C, D))) ) ).
fof(redefinition_k15_cat_2, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_cat_1(D) &  (v3_cat_1(D) &  (v4_cat_1(D) &  (v5_cat_1(D) &  (v6_cat_1(D) & l1_cat_1(D)) ) ) ) ) ) )  &  (m2_cat_1(E, A, C) & m2_cat_1(F, B, D)) ) ) ) )  => k15_cat_2(A, B, C, D, E, F)=k15_funct_3(E, F)) ) ).
fof(t19_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ( ~ (v1_xboole_0(k3_tarski(a_2_0_cat_2(A, B))))  & m1_subset_1(k3_tarski(a_2_0_cat_2(A, B)), k1_zfmisc_1(u4_struct_0(A)))) ) ) ) ) ).
fof(t20_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (C=k3_tarski(a_2_0_cat_2(A, B)) =>  ( (v1_funct_1(k2_partfun1(u4_struct_0(A), u1_struct_0(A), u1_graph_1(A), C)) &  (v1_funct_2(k2_partfun1(u4_struct_0(A), u1_struct_0(A), u1_graph_1(A), C), C, B) & m1_subset_1(k2_partfun1(u4_struct_0(A), u1_struct_0(A), u1_graph_1(A), C), k1_zfmisc_1(k2_zfmisc_1(C, B)))) )  &  ( (v1_funct_1(k2_partfun1(u4_struct_0(A), u1_struct_0(A), u2_graph_1(A), C)) &  (v1_funct_2(k2_partfun1(u4_struct_0(A), u1_struct_0(A), u2_graph_1(A), C), C, B) & m1_subset_1(k2_partfun1(u4_struct_0(A), u1_struct_0(A), u2_graph_1(A), C), k1_zfmisc_1(k2_zfmisc_1(C, B)))) )  &  (v1_funct_1(k1_realset1(u1_cat_1(A), C)) & m1_subset_1(k1_realset1(u1_cat_1(A), C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, C), C)))) ) ) ) ) ) ) ) ) ) ).
fof(t21_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, C, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, B)))) )  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, C), C))))  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, B, C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  ( (C=k3_tarski(a_2_0_cat_2(A, B)) &  (D=k2_partfun1(u4_struct_0(A), u1_struct_0(A), u1_graph_1(A), C) &  (E=k2_partfun1(u4_struct_0(A), u1_struct_0(A), u2_graph_1(A), C) & F=k1_realset1(u1_cat_1(A), C)) ) )  =>  (v1_cat_2(g1_cat_1(B, C, D, E, F), A) & m3_cat_2(g1_cat_1(B, C, D, E, F), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_cat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, C, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, B)))) )  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, C), C))))  =>  ( (v1_cat_2(g1_cat_1(B, C, D, E, F), A) & m3_cat_2(g1_cat_1(B, C, D, E, F), A))  =>  (C=k3_tarski(a_2_0_cat_2(A, B)) &  (D=k2_partfun1(u4_struct_0(A), u1_struct_0(A), u1_graph_1(A), C) &  (E=k2_partfun1(u4_struct_0(A), u1_struct_0(A), u2_graph_1(A), C) & F=k1_realset1(u1_cat_1(A), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_cat_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (r2_hidden(A, a_2_0_cat_2(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, u1_struct_0(B)) & m1_subset_1(E, u1_struct_0(B)))  &  (A=k2_cat_1(B, D, E) &  (r2_tarski(D, C) & r2_tarski(E, C)) ) ) ) ) ) ) ).
fof(t1_cat_3, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ( (! [E] :  (r2_tarski(E, A) => k7_partfun1(B, C, E)=k7_partfun1(B, D, E)) )  => r2_funct_2(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t2_cat_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, C) =>  (r2_tarski(B, A) => k7_partfun1(C, k8_funcop_1(C, A, D), B)=D) ) ) ) ) ) ) ).
fof(t3_cat_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  ( ~ (A=B)  =>  (! [D] :  (m1_subset_1(D, C) =>  (! [E] :  (m1_subset_1(E, C) =>  (k10_funct_2(k2_tarski(A, B), C, k7_funct_4(C, A, B, D, E), A)=D & k10_funct_2(k2_tarski(A, B), C, k7_funct_4(C, A, B, D, E), B)=E) ) ) ) ) ) ) ) ) ) ).
fof(d1_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u4_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u4_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (D=k2_cat_3(A, B, C) <=>  (! [E] :  (r2_tarski(E, B) => k7_partfun1(u1_struct_0(A), D, E)=k3_graph_1(A, k7_partfun1(u4_struct_0(A), C, E))) ) ) ) ) ) ) ) ) ) ).
fof(d2_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u4_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u4_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (D=k3_cat_3(A, B, C) <=>  (! [E] :  (r2_tarski(E, B) => k7_partfun1(u1_struct_0(A), D, E)=k4_graph_1(A, k7_partfun1(u4_struct_0(A), C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t4_cat_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(B)) => r2_funct_2(A, u1_struct_0(B), k2_cat_3(B, A, k8_funcop_1(u4_struct_0(B), A, C)), k8_funcop_1(u1_struct_0(B), A, k3_graph_1(B, C)))) ) ) ) ) ).
fof(t5_cat_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(B)) => r2_funct_2(A, u1_struct_0(B), k3_cat_3(B, A, k8_funcop_1(u4_struct_0(B), A, C)), k8_funcop_1(u1_struct_0(B), A, k4_graph_1(B, C)))) ) ) ) ) ).
fof(t6_cat_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u4_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(C)) => r2_funct_2(k2_tarski(A, B), u1_struct_0(C), k2_cat_3(C, k2_tarski(A, B), k7_funct_4(u4_struct_0(C), A, B, D, E)), k7_funct_4(u1_struct_0(C), A, B, k3_graph_1(C, D), k3_graph_1(C, E)))) ) ) ) ) ) ) ) ).
fof(t7_cat_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u4_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(C)) => r2_funct_2(k2_tarski(A, B), u1_struct_0(C), k3_cat_3(C, k2_tarski(A, B), k7_funct_4(u4_struct_0(C), A, B, D, E)), k7_funct_4(u1_struct_0(C), A, B, k4_graph_1(C, D), k4_graph_1(C, E)))) ) ) ) ) ) ) ) ).
fof(d3_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u4_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u4_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, u4_struct_0(k1_oppcat_1(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, u4_struct_0(k1_oppcat_1(A)))))) )  =>  (D=k4_cat_3(A, B, C) <=>  (! [E] :  (r2_tarski(E, B) => k7_partfun1(u4_struct_0(k1_oppcat_1(A)), D, E)=k4_oppcat_1(A, k7_partfun1(u4_struct_0(A), C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t8_cat_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(B)) => r2_funct_2(A, u4_struct_0(k1_oppcat_1(B)), k4_cat_3(B, A, k8_funcop_1(u4_struct_0(B), A, C)), k8_funcop_1(u4_struct_0(k1_oppcat_1(B)), A, k4_oppcat_1(B, C)))) ) ) ) ) ).
fof(t9_cat_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u4_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(C)) =>  ( ~ (A=B)  => r2_funct_2(k2_tarski(A, B), u4_struct_0(k1_oppcat_1(C)), k4_cat_3(C, k2_tarski(A, B), k7_funct_4(u4_struct_0(C), A, B, D, E)), k7_funct_4(u4_struct_0(k1_oppcat_1(C)), A, B, k4_oppcat_1(C, D), k4_oppcat_1(C, E)))) ) ) ) ) ) ) ) ) ).
fof(t10_cat_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u4_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u4_struct_0(B))))) )  => r1_funct_2(A, u4_struct_0(k1_oppcat_1(k1_oppcat_1(B))), A, u4_struct_0(B), k4_cat_3(k1_oppcat_1(B), A, k4_cat_3(B, A, C)), C)) ) ) ) ) ).
fof(d4_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u4_struct_0(k1_oppcat_1(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u4_struct_0(k1_oppcat_1(A)))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, u4_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, u4_struct_0(A))))) )  =>  (D=k5_cat_3(A, B, C) <=>  (! [E] :  (r2_tarski(E, B) => k7_partfun1(u4_struct_0(A), D, E)=k5_oppcat_1(A, k7_partfun1(u4_struct_0(k1_oppcat_1(A)), C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t11_cat_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(k1_oppcat_1(B))) => r2_funct_2(A, u4_struct_0(B), k5_cat_3(B, A, k8_funcop_1(u4_struct_0(k1_oppcat_1(B)), A, C)), k8_funcop_1(u4_struct_0(B), A, k5_oppcat_1(B, C)))) ) ) ) ) ).
fof(t12_cat_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  ( ~ (A=B)  =>  (! [D] :  (m1_subset_1(D, u4_struct_0(k1_oppcat_1(C))) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(k1_oppcat_1(C))) => r2_funct_2(k2_tarski(A, B), u4_struct_0(C), k5_cat_3(C, k2_tarski(A, B), k7_funct_4(u4_struct_0(k1_oppcat_1(C)), A, B, D, E)), k7_funct_4(u4_struct_0(C), A, B, k5_oppcat_1(C, D), k5_oppcat_1(C, E)))) ) ) ) ) ) ) ) ) ).
fof(t13_cat_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u4_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u4_struct_0(B))))) )  => r2_funct_2(A, u4_struct_0(B), k5_cat_3(B, A, k4_cat_3(B, A, C)), C)) ) ) ) ) ).
fof(d5_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u4_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u4_struct_0(A))))) )  =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, u4_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, u4_struct_0(A))))) )  =>  (E=k6_cat_3(A, B, C, D) <=>  (! [F] :  (r2_tarski(F, B) => k7_partfun1(u4_struct_0(A), E, F)=k1_cat_1(A, D, k7_partfun1(u4_struct_0(A), C, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u4_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u4_struct_0(A))))) )  =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, u4_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, u4_struct_0(A))))) )  =>  (E=k7_cat_3(A, B, C, D) <=>  (! [F] :  (r2_tarski(F, B) => k7_partfun1(u4_struct_0(A), E, F)=k1_cat_1(A, k7_partfun1(u4_struct_0(A), C, F), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_cat_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u4_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(C)) =>  (! [F] :  (m1_subset_1(F, u4_struct_0(C)) =>  ( ~ (A=B)  => r2_funct_2(k2_tarski(A, B), u4_struct_0(C), k6_cat_3(C, k2_tarski(A, B), k7_funct_4(u4_struct_0(C), A, B, E, F), D), k7_funct_4(u4_struct_0(C), A, B, k1_cat_1(C, D, E), k1_cat_1(C, D, F)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_cat_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u4_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(C)) =>  (! [F] :  (m1_subset_1(F, u4_struct_0(C)) =>  ( ~ (A=B)  => r2_funct_2(k2_tarski(A, B), u4_struct_0(C), k7_cat_3(C, k2_tarski(A, B), k7_funct_4(u4_struct_0(C), A, B, E, F), D), k7_funct_4(u4_struct_0(C), A, B, k1_cat_1(C, E, D), k1_cat_1(C, F, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_cat_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(B)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u4_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u4_struct_0(B))))) )  =>  (r2_funct_2(A, u1_struct_0(B), k2_cat_3(B, A, D), k8_funcop_1(u1_struct_0(B), A, k4_graph_1(B, C))) =>  (r2_funct_2(A, u1_struct_0(B), k2_cat_3(B, A, k6_cat_3(B, A, D, C)), k8_funcop_1(u1_struct_0(B), A, k3_graph_1(B, C))) & r2_funct_2(A, u1_struct_0(B), k3_cat_3(B, A, k6_cat_3(B, A, D, C)), k3_cat_3(B, A, D))) ) ) ) ) ) ) ) ) ).
fof(t17_cat_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(B)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u4_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u4_struct_0(B))))) )  =>  (r2_funct_2(A, u1_struct_0(B), k3_cat_3(B, A, D), k8_funcop_1(u1_struct_0(B), A, k3_graph_1(B, C))) =>  (r2_funct_2(A, u1_struct_0(B), k2_cat_3(B, A, k7_cat_3(B, A, D, C)), k2_cat_3(B, A, D)) & r2_funct_2(A, u1_struct_0(B), k3_cat_3(B, A, k7_cat_3(B, A, D, C)), k8_funcop_1(u1_struct_0(B), A, k4_graph_1(B, C)))) ) ) ) ) ) ) ) ) ).
fof(d7_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u4_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u4_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, u4_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, u4_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, u4_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, u4_struct_0(A))))) )  =>  (E=k8_cat_3(A, B, C, D) <=>  (! [F] :  (r2_tarski(F, B) => k7_partfun1(u4_struct_0(A), E, F)=k1_cat_1(A, k7_partfun1(u4_struct_0(A), D, F), k7_partfun1(u4_struct_0(A), C, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_cat_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u4_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u4_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u4_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u4_struct_0(B))))) )  =>  (r2_funct_2(A, u1_struct_0(B), k2_cat_3(B, A, C), k3_cat_3(B, A, D)) =>  (r2_funct_2(A, u1_struct_0(B), k2_cat_3(B, A, k8_cat_3(B, A, C, D)), k2_cat_3(B, A, D)) & r2_funct_2(A, u1_struct_0(B), k3_cat_3(B, A, k8_cat_3(B, A, C, D)), k3_cat_3(B, A, C))) ) ) ) ) ) ) ) ) ).
fof(t19_cat_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u4_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(C)) =>  (! [F] :  (m1_subset_1(F, u4_struct_0(C)) =>  (! [G] :  (m1_subset_1(G, u4_struct_0(C)) =>  ( ~ (A=B)  => r2_funct_2(k2_tarski(A, B), u4_struct_0(C), k8_cat_3(C, k2_tarski(A, B), k7_funct_4(u4_struct_0(C), A, B, D, E), k7_funct_4(u4_struct_0(C), A, B, F, G)), k7_funct_4(u4_struct_0(C), A, B, k1_cat_1(C, F, D), k1_cat_1(C, G, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_cat_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(B)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u4_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u4_struct_0(B))))) )  => r2_funct_2(A, u4_struct_0(B), k6_cat_3(B, A, D, C), k8_cat_3(B, A, D, k8_funcop_1(u4_struct_0(B), A, C)))) ) ) ) ) ) ) ).
fof(t21_cat_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(B)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u4_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u4_struct_0(B))))) )  => r2_funct_2(A, u4_struct_0(B), k7_cat_3(B, A, D, C), k8_cat_3(B, A, k8_funcop_1(u4_struct_0(B), A, C), D))) ) ) ) ) ) ) ).
fof(d8_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_cat_1(D, A, B, C) =>  (v1_cat_3(D, A, B, C) <=>  ( ~ (k2_cat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, C, B)=k1_xboole_0)  &  (? [E] :  (m1_cat_1(E, A, C, B) & k5_cat_1(A, C, B, C, E, D)=k4_cat_1(A, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_cat_1(D, A, B, C) =>  (v2_cat_3(D, A, B, C) <=>  ( ~ (k2_cat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, C, B)=k1_xboole_0)  &  (? [E] :  (m1_cat_1(E, A, C, B) & k5_cat_1(A, B, C, B, D, E)=k4_cat_1(A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_cat_1(D, A, B, C) =>  (v1_cat_3(D, A, B, C) => v8_cat_1(D, A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t23_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_cat_1(D, A, B, C) =>  (v2_cat_3(D, A, B, C) => v7_cat_1(D, A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t24_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_cat_1(E, A, B, C) =>  (! [F] :  (m1_cat_1(F, A, C, D) =>  ( (v1_cat_3(E, A, B, C) & v1_cat_3(F, A, C, D))  => v1_cat_3(k5_cat_1(A, B, C, D, E, F), A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_cat_1(E, A, B, C) =>  (! [F] :  (m1_cat_1(F, A, C, D) =>  ( (v2_cat_3(E, A, B, C) & v2_cat_3(F, A, C, D))  => v2_cat_3(k5_cat_1(A, B, C, D, E, F), A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_cat_1(E, A, B, C) =>  (! [F] :  (m1_cat_1(F, A, C, D) =>  (v1_cat_3(k5_cat_1(A, B, C, D, E, F), A, B, D) =>  (k2_cat_1(A, B, C)=k1_xboole_0 |  (k2_cat_1(A, C, B)=k1_xboole_0 | v1_cat_3(F, A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_cat_1(E, A, B, C) =>  (! [F] :  (m1_cat_1(F, A, C, D) =>  (v2_cat_3(k5_cat_1(A, B, C, D, E, F), A, B, D) =>  (k2_cat_1(A, C, D)=k1_xboole_0 |  (k2_cat_1(A, D, C)=k1_xboole_0 | v2_cat_3(E, A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_cat_1(D, A, B, C) =>  ( (v1_cat_3(D, A, B, C) & v7_cat_1(D, A, B, C))  => v9_cat_1(D, A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t29_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_cat_1(D, A, B, C) =>  ( (v2_cat_3(D, A, B, C) & v8_cat_1(D, A, B, C))  => v9_cat_1(D, A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t30_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_cat_1(D, A, B, C) =>  (v9_cat_1(D, A, B, C) <=>  (v1_cat_3(D, A, B, C) & v2_cat_3(D, A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(d10_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (k2_cat_1(A, B, C)=k1_xboole_0)  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_cat_1(D) &  (v3_cat_1(D) &  (v4_cat_1(D) &  (v5_cat_1(D) &  (v6_cat_1(D) & l1_cat_1(D)) ) ) ) ) ) )  =>  (! [E] :  (m2_cat_1(E, A, D) =>  (! [F] :  (m1_cat_1(F, A, B, C) => k9_cat_3(A, B, C, D, E, F)=k3_funct_2(u4_struct_0(A), u4_struct_0(D), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_cat_1(E, A, C, D) =>  (! [F] :  (m2_cat_1(F, A, B) =>  (v1_cat_3(E, A, C, D) => v1_cat_3(k9_cat_3(A, C, D, B, F, E), B, k8_cat_1(A, B, F, C), k8_cat_1(A, B, F, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_cat_1(E, A, C, D) =>  (! [F] :  (m2_cat_1(F, A, B) =>  (v2_cat_3(E, A, C, D) => v2_cat_3(k9_cat_3(A, C, D, B, F, E), B, k8_cat_1(A, B, F, C), k8_cat_1(A, B, F, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_cat_1(D, A, B, C) =>  (v1_cat_3(D, A, B, C) <=> v2_cat_3(k6_oppcat_1(A, B, C, D), k1_oppcat_1(A), k2_oppcat_1(A, C), k2_oppcat_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(t34_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_cat_1(D, A, B, C) =>  (v2_cat_3(D, A, B, C) <=> v1_cat_3(k6_oppcat_1(A, B, C, D), k1_oppcat_1(A), k2_oppcat_1(A, C), k2_oppcat_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(d11_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v10_cat_1(C, A) =>  (! [D] :  (m1_cat_1(D, A, B, C) => D=k10_cat_3(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t35_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v10_cat_1(C, A) =>  (k3_graph_1(A, k10_cat_3(A, B, C))=B & k4_graph_1(A, k10_cat_3(A, B, C))=C) ) ) ) ) ) ) ) ).
fof(t36_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  ( (v10_cat_1(C, A) &  (k3_graph_1(A, D)=B & k4_graph_1(A, D)=C) )  => k10_cat_3(A, B, C)=D) ) ) ) ) ) ) ) ) ).
fof(t37_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_cat_1(D, A, B, C) =>  (v10_cat_1(C, A) => k10_cat_3(A, B, C)=D) ) ) ) ) ) ) ) ) ).
fof(d12_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v11_cat_1(B, A) =>  (! [D] :  (m1_cat_1(D, A, B, C) => D=k11_cat_3(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t38_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v11_cat_1(B, A) =>  (k3_graph_1(A, k11_cat_3(A, B, C))=B & k4_graph_1(A, k11_cat_3(A, B, C))=C) ) ) ) ) ) ) ) ).
fof(t39_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  ( (v11_cat_1(B, A) &  (k3_graph_1(A, D)=B & k4_graph_1(A, D)=C) )  => k11_cat_3(A, B, C)=D) ) ) ) ) ) ) ) ) ).
fof(t40_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_cat_1(D, A, B, C) =>  (v11_cat_1(B, A) => k11_cat_3(A, B, C)=D) ) ) ) ) ) ) ) ) ).
fof(d13_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, C, u4_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, u4_struct_0(A))))) )  =>  (m1_cat_3(D, A, B, C) <=> r2_funct_2(C, u1_struct_0(A), k2_cat_3(A, C, D), k8_funcop_1(u1_struct_0(A), C, B))) ) ) ) ) ) ) ) ).
fof(t41_cat_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_cat_3(E, C, D, A) =>  (r2_tarski(B, A) => k3_graph_1(C, k7_partfun1(u4_struct_0(C), E, B))=D) ) ) ) ) ) ) ) ) ).
fof(t42_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_xboole_0, u4_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_xboole_0, u4_struct_0(A))))) )  => m1_cat_3(C, A, B, k1_xboole_0)) ) ) ) ) ) ).
fof(t43_cat_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(B)) =>  (k3_graph_1(B, D)=C => m1_cat_3(k1_cat_3(u4_struct_0(B), A, D), B, C, k1_tarski(A))) ) ) ) ) ) ) ) ).
fof(t44_cat_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(C)) =>  (! [F] :  (m1_subset_1(F, u4_struct_0(C)) =>  ( (k3_graph_1(C, E)=D & k3_graph_1(C, F)=D)  => m1_cat_3(k7_funct_4(u4_struct_0(C), A, B, E, F), C, D, k2_tarski(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_cat_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(B)) =>  (! [E] :  (m1_cat_3(E, B, C, A) =>  (k4_graph_1(B, D)=C => m1_cat_3(k6_cat_3(B, A, E, D), B, k3_graph_1(B, D), A)) ) ) ) ) ) ) ) ) ) ).
fof(t46_cat_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u4_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u4_struct_0(B))))) )  =>  (! [E] :  (m1_cat_3(E, B, C, A) =>  (r2_funct_2(A, u1_struct_0(B), k2_cat_3(B, A, D), k3_cat_3(B, A, E)) => m1_cat_3(k8_cat_3(B, A, D, E), B, C, A)) ) ) ) ) ) ) ) ) ) ).
fof(t47_cat_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(B)) =>  (! [D] :  (m1_cat_3(D, B, k4_graph_1(B, C), A) => r2_funct_2(A, u4_struct_0(k1_oppcat_1(B)), k7_cat_3(k1_oppcat_1(B), A, k4_cat_3(B, A, D), k4_oppcat_1(B, C)), k4_cat_3(B, A, k6_cat_3(B, A, D, C)))) ) ) ) ) ) ) ).
fof(d14_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, C, u4_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, u4_struct_0(A))))) )  =>  (r1_cat_3(A, B, C, D) <=>  (m1_cat_3(D, A, B, C) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_cat_3(F, A, E, C) =>  ~ ( (r2_funct_2(C, u1_struct_0(A), k3_cat_3(A, C, D), k3_cat_3(A, C, F)) &  (! [G] :  (m1_subset_1(G, u4_struct_0(A)) =>  ~ ( (r2_tarski(G, k2_cat_1(A, E, B)) &  (! [H] :  (m1_subset_1(H, u4_struct_0(A)) =>  (r2_tarski(H, k2_cat_1(A, E, B)) =>  ( (! [I] :  (r2_tarski(I, C) => k1_cat_1(A, H, k7_partfun1(u4_struct_0(A), D, I))=k7_partfun1(u4_struct_0(A), F, I)) )  <=> G=H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_cat_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_cat_3(E, B, C, A) =>  (! [F] :  (m1_cat_3(F, B, D, A) =>  ( (r1_cat_3(B, C, A, E) &  (r1_cat_3(B, D, A, F) & r2_funct_2(A, u1_struct_0(B), k3_cat_3(B, A, E), k3_cat_3(B, A, F))) )  => r1_cat_1(B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_cat_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_cat_3(D, B, C, A) =>  ( (r1_cat_3(B, C, A, D) &  (! [E] :  (! [F] :  ~ ( (r2_tarski(E, A) &  (r2_tarski(F, A) & k2_cat_1(B, k4_graph_1(B, k7_partfun1(u4_struct_0(B), D, E)), k4_graph_1(B, k7_partfun1(u4_struct_0(B), D, F)))=k1_xboole_0) ) ) ) ) )  =>  (! [E] :  (r2_tarski(E, A) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (F=k4_graph_1(B, k7_partfun1(u4_struct_0(B), D, E)) =>  (k2_cat_1(B, C, F)=k1_xboole_0 |  (! [G] :  (m1_cat_1(G, B, C, F) =>  (G=k7_partfun1(u4_struct_0(B), D, E) => v1_cat_3(G, B, C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_xboole_0, u4_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_xboole_0, u4_struct_0(A))))) )  =>  (r1_cat_3(A, B, k1_xboole_0, C) <=> v10_cat_1(B, A)) ) ) ) ) ) ) ).
fof(t51_cat_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_cat_3(E, B, C, A) =>  (r1_cat_3(B, C, A, E) =>  (! [F] :  (m1_cat_1(F, B, D, C) =>  ( (k3_graph_1(B, F)=D &  (k4_graph_1(B, F)=C & v9_cat_1(F, B, D, C)) )  => r1_cat_3(B, D, A, k6_cat_3(B, A, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_cat_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => r1_cat_3(B, C, k1_tarski(A), k1_cat_3(u4_struct_0(B), A, k4_cat_1(B, C)))) ) ) ) ) ).
fof(t53_cat_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_cat_3(D, B, C, A) =>  ( (r1_cat_3(B, C, A, D) &  (! [E] :  (r2_tarski(E, A) => v10_cat_1(k4_graph_1(B, k7_partfun1(u4_struct_0(B), D, E)), B)) ) )  => v10_cat_1(C, B)) ) ) ) ) ) ) ) ).
fof(d15_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (r2_cat_3(A, B, C, D) <=>  (k3_graph_1(A, C)=B &  (k3_graph_1(A, D)=B &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u4_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u4_struct_0(A)) =>  ~ ( (r2_tarski(F, k2_cat_1(A, E, k4_graph_1(A, C))) &  (r2_tarski(G, k2_cat_1(A, E, k4_graph_1(A, D))) &  (! [H] :  (m1_subset_1(H, u4_struct_0(A)) =>  ~ ( (r2_tarski(H, k2_cat_1(A, E, B)) &  (! [I] :  (m1_subset_1(I, u4_struct_0(A)) =>  (r2_tarski(I, k2_cat_1(A, E, B)) =>  ( (k1_cat_1(A, I, C)=F & k1_cat_1(A, I, D)=G)  <=> H=I) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_cat_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(C)) =>  (! [F] :  (m1_subset_1(F, u4_struct_0(C)) =>  ( ~ (A=B)  =>  (r2_cat_3(C, D, E, F) <=> r1_cat_3(C, D, k2_tarski(A, B), k7_funct_4(u4_struct_0(C), A, B, E, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (k2_cat_1(A, D, B)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, D, C)=k1_xboole_0)  &  ~ ( (! [E] :  (m1_cat_1(E, A, D, B) =>  (! [F] :  (m1_cat_1(F, A, D, C) =>  (r2_cat_3(A, D, E, F) <=>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( ( ~ (k2_cat_1(A, G, B)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, G, C)=k1_xboole_0)  &  ~ ( ( ~ (k2_cat_1(A, G, D)=k1_xboole_0)  &  (! [H] :  (m1_cat_1(H, A, G, B) =>  (! [I] :  (m1_cat_1(I, A, G, C) =>  (? [J] :  (m1_cat_1(J, A, G, D) &  (! [K] :  (m1_cat_1(K, A, G, D) =>  ( (k5_cat_1(A, G, D, B, K, E)=H & k5_cat_1(A, G, D, C, K, F)=I)  <=> J=K) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u4_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u4_struct_0(A)) =>  ( (r2_cat_3(A, B, D, E) &  (r2_cat_3(A, C, F, G) &  (k4_graph_1(A, D)=k4_graph_1(A, F) & k4_graph_1(A, E)=k4_graph_1(A, G)) ) )  => r1_cat_1(A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_cat_1(E, A, D, B) =>  (! [F] :  (m1_cat_1(F, A, D, C) =>  (r2_cat_3(A, D, E, F) =>  (k2_cat_1(A, D, B)=k1_xboole_0 |  (k2_cat_1(A, D, C)=k1_xboole_0 |  (k2_cat_1(A, B, C)=k1_xboole_0 |  (k2_cat_1(A, C, B)=k1_xboole_0 |  (v1_cat_3(E, A, D, B) & v1_cat_3(F, A, D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  ( (r2_cat_3(A, B, D, E) &  (r2_tarski(C, k2_cat_1(A, B, B)) &  (k1_cat_1(A, C, D)=D & k1_cat_1(A, C, E)=E) ) )  => C=k4_cat_1(A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (! [F] :  (m1_cat_1(F, A, C, B) =>  ( (r2_cat_3(A, B, D, E) &  (k3_graph_1(A, F)=C &  (k4_graph_1(A, F)=B & v9_cat_1(F, A, C, B)) ) )  => r2_cat_3(A, C, k1_cat_1(A, F, D), k1_cat_1(A, F, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  ( (r2_cat_3(A, B, C, D) & v10_cat_1(k4_graph_1(A, D), A))  => r1_cat_1(A, B, k4_graph_1(A, C))) ) ) ) ) ) ) ) ) ).
fof(t61_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  ( (r2_cat_3(A, B, C, D) & v10_cat_1(k4_graph_1(A, C), A))  => r1_cat_1(A, B, k4_graph_1(A, D))) ) ) ) ) ) ) ) ) ).
fof(d16_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, C, u4_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, u4_struct_0(A))))) )  =>  (m2_cat_3(D, A, B, C) <=> r2_funct_2(C, u1_struct_0(A), k3_cat_3(A, C, D), k8_funcop_1(u1_struct_0(A), C, B))) ) ) ) ) ) ) ) ).
fof(t62_cat_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m2_cat_3(E, C, D, A) =>  (r2_tarski(B, A) => k4_graph_1(C, k7_partfun1(u4_struct_0(C), E, B))=D) ) ) ) ) ) ) ) ) ).
fof(t63_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_xboole_0, u4_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_xboole_0, u4_struct_0(A))))) )  => m2_cat_3(C, A, B, k1_xboole_0)) ) ) ) ) ) ).
fof(t64_cat_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(B)) =>  (k4_graph_1(B, D)=C => m2_cat_3(k1_cat_3(u4_struct_0(B), A, D), B, C, k1_tarski(A))) ) ) ) ) ) ) ) ).
fof(t65_cat_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(C)) =>  (! [F] :  (m1_subset_1(F, u4_struct_0(C)) =>  ( (k4_graph_1(C, E)=D & k4_graph_1(C, F)=D)  => m2_cat_3(k7_funct_4(u4_struct_0(C), A, B, E, F), C, D, k2_tarski(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_cat_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(B)) =>  (! [E] :  (m2_cat_3(E, B, C, A) =>  (k3_graph_1(B, D)=C => m2_cat_3(k7_cat_3(B, A, E, D), B, k4_graph_1(B, D), A)) ) ) ) ) ) ) ) ) ) ).
fof(t67_cat_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m2_cat_3(D, B, C, A) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, u4_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u4_struct_0(B))))) )  =>  (r2_funct_2(A, u1_struct_0(B), k2_cat_3(B, A, D), k3_cat_3(B, A, E)) => m2_cat_3(k8_cat_3(B, A, D, E), B, C, A)) ) ) ) ) ) ) ) ) ) ).
fof(t68_cat_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u4_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u4_struct_0(B))))) )  =>  (m1_cat_3(D, B, C, A) <=> m2_cat_3(k4_cat_3(B, A, D), k1_oppcat_1(B), k2_oppcat_1(B, C), A)) ) ) ) ) ) ) ) ).
fof(t69_cat_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u4_struct_0(k1_oppcat_1(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u4_struct_0(k1_oppcat_1(B)))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_oppcat_1(B))) =>  (m2_cat_3(C, k1_oppcat_1(B), D, A) <=> m1_cat_3(k5_cat_3(B, A, C), B, k3_oppcat_1(B, D), A)) ) ) ) ) ) ) ) ).
fof(t70_cat_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(B)) =>  (! [D] :  (m2_cat_3(D, B, k3_graph_1(B, C), A) => r2_funct_2(A, u4_struct_0(k1_oppcat_1(B)), k6_cat_3(k1_oppcat_1(B), A, k4_cat_3(B, A, D), k4_oppcat_1(B, C)), k4_cat_3(B, A, k7_cat_3(B, A, D, C)))) ) ) ) ) ) ) ).
fof(d17_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, C, u4_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, u4_struct_0(A))))) )  =>  (r3_cat_3(A, B, C, D) <=>  (m2_cat_3(D, A, B, C) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m2_cat_3(F, A, E, C) =>  ~ ( (r2_funct_2(C, u1_struct_0(A), k2_cat_3(A, C, D), k2_cat_3(A, C, F)) &  (! [G] :  (m1_subset_1(G, u4_struct_0(A)) =>  ~ ( (r2_tarski(G, k2_cat_1(A, B, E)) &  (! [H] :  (m1_subset_1(H, u4_struct_0(A)) =>  (r2_tarski(H, k2_cat_1(A, B, E)) =>  ( (! [I] :  (r2_tarski(I, C) => k1_cat_1(A, k7_partfun1(u4_struct_0(A), D, I), H)=k7_partfun1(u4_struct_0(A), F, I)) )  <=> G=H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_cat_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u4_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u4_struct_0(B))))) )  =>  (r1_cat_3(B, C, A, D) <=> r3_cat_3(k1_oppcat_1(B), k2_oppcat_1(B, C), A, k4_cat_3(B, A, D))) ) ) ) ) ) ) ) ).
fof(t72_cat_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m2_cat_3(E, B, C, A) =>  (! [F] :  (m2_cat_3(F, B, D, A) =>  ( (r3_cat_3(B, C, A, E) &  (r3_cat_3(B, D, A, F) & r2_funct_2(A, u1_struct_0(B), k2_cat_3(B, A, E), k2_cat_3(B, A, F))) )  => r1_cat_1(B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t73_cat_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m2_cat_3(D, B, C, A) =>  ( (r3_cat_3(B, C, A, D) &  (! [E] :  (! [F] :  ~ ( (r2_tarski(E, A) &  (r2_tarski(F, A) & k2_cat_1(B, k3_graph_1(B, k7_partfun1(u4_struct_0(B), D, E)), k3_graph_1(B, k7_partfun1(u4_struct_0(B), D, F)))=k1_xboole_0) ) ) ) ) )  =>  (! [E] :  (r2_tarski(E, A) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (F=k3_graph_1(B, k7_partfun1(u4_struct_0(B), D, E)) =>  (k2_cat_1(B, F, C)=k1_xboole_0 |  (! [G] :  (m1_cat_1(G, B, F, C) =>  (G=k7_partfun1(u4_struct_0(B), D, E) => v2_cat_3(G, B, F, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t74_cat_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_cat_1(E, B, C, D) =>  (! [F] :  (m2_cat_3(F, B, C, A) =>  ( (r3_cat_3(B, C, A, F) &  (k3_graph_1(B, E)=C &  (k4_graph_1(B, E)=D & v9_cat_1(E, B, C, D)) ) )  => r3_cat_3(B, D, A, k7_cat_3(B, A, F, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_cat_3(C, A, B, k1_xboole_0) =>  (r3_cat_3(A, B, k1_xboole_0, C) <=> v11_cat_1(B, A)) ) ) ) ) ) ) ).
fof(t76_cat_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => r3_cat_3(B, C, k1_tarski(A), k1_cat_3(u4_struct_0(B), A, k4_cat_1(B, C)))) ) ) ) ) ).
fof(t77_cat_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m2_cat_3(D, B, C, A) =>  ( (r3_cat_3(B, C, A, D) &  (! [E] :  (r2_tarski(E, A) => v11_cat_1(k3_graph_1(B, k7_partfun1(u4_struct_0(B), D, E)), B)) ) )  => v11_cat_1(C, B)) ) ) ) ) ) ) ) ).
fof(d18_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (r4_cat_3(A, B, C, D) <=>  (k4_graph_1(A, C)=B &  (k4_graph_1(A, D)=B &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u4_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u4_struct_0(A)) =>  ~ ( (r2_tarski(F, k2_cat_1(A, k3_graph_1(A, C), E)) &  (r2_tarski(G, k2_cat_1(A, k3_graph_1(A, D), E)) &  (! [H] :  (m1_subset_1(H, u4_struct_0(A)) =>  ~ ( (r2_tarski(H, k2_cat_1(A, B, E)) &  (! [I] :  (m1_subset_1(I, u4_struct_0(A)) =>  (r2_tarski(I, k2_cat_1(A, B, E)) =>  ( (k1_cat_1(A, C, I)=F & k1_cat_1(A, D, I)=G)  <=> H=I) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t78_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (r2_cat_3(A, B, C, D) <=> r4_cat_3(k1_oppcat_1(A), k2_oppcat_1(A, B), k4_oppcat_1(A, C), k4_oppcat_1(A, D))) ) ) ) ) ) ) ) ) ).
fof(t79_cat_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(C)) =>  (! [F] :  (m1_subset_1(F, u4_struct_0(C)) =>  ( ~ (A=B)  =>  (r4_cat_3(C, D, E, F) <=> r3_cat_3(C, D, k2_tarski(A, B), k7_funct_4(u4_struct_0(C), A, B, E, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t80_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u4_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u4_struct_0(A)) =>  ( (r4_cat_3(A, B, D, E) &  (r4_cat_3(A, C, F, G) &  (k3_graph_1(A, D)=k3_graph_1(A, F) & k3_graph_1(A, E)=k3_graph_1(A, G)) ) )  => r1_cat_1(A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t81_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (k2_cat_1(A, B, D)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, C, D)=k1_xboole_0)  &  ~ ( (! [E] :  (m1_cat_1(E, A, B, D) =>  (! [F] :  (m1_cat_1(F, A, C, D) =>  (r4_cat_3(A, D, E, F) <=>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( ( ~ (k2_cat_1(A, B, G)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, C, G)=k1_xboole_0)  &  ~ ( ( ~ (k2_cat_1(A, D, G)=k1_xboole_0)  &  (! [H] :  (m1_cat_1(H, A, B, G) =>  (! [I] :  (m1_cat_1(I, A, C, G) =>  (? [J] :  (m1_cat_1(J, A, D, G) &  (! [K] :  (m1_cat_1(K, A, D, G) =>  ( (k5_cat_1(A, B, D, G, E, K)=H & k5_cat_1(A, C, D, G, F, K)=I)  <=> J=K) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t82_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_cat_1(E, A, B, D) =>  (! [F] :  (m1_cat_1(F, A, C, D) =>  (r4_cat_3(A, D, E, F) =>  (k2_cat_1(A, B, D)=k1_xboole_0 |  (k2_cat_1(A, C, D)=k1_xboole_0 |  (k2_cat_1(A, B, C)=k1_xboole_0 |  (k2_cat_1(A, C, B)=k1_xboole_0 |  (v2_cat_3(E, A, B, D) & v2_cat_3(F, A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t83_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  ( (r4_cat_3(A, B, D, E) &  (r2_tarski(C, k2_cat_1(A, B, B)) &  (k1_cat_1(A, D, C)=D & k1_cat_1(A, E, C)=E) ) )  => C=k4_cat_1(A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t84_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (! [F] :  (m1_cat_1(F, A, B, C) =>  ( (r4_cat_3(A, B, D, E) &  (k3_graph_1(A, F)=B &  (k4_graph_1(A, F)=C & v9_cat_1(F, A, B, C)) ) )  => r4_cat_3(A, C, k1_cat_1(A, D, F), k1_cat_1(A, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t85_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  ( (r4_cat_3(A, B, C, D) & v11_cat_1(k3_graph_1(A, D), A))  => r1_cat_1(A, k3_graph_1(A, C), B)) ) ) ) ) ) ) ) ) ).
fof(t86_cat_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  ( (r4_cat_3(A, B, C, D) & v11_cat_1(k3_graph_1(A, C), A))  => r1_cat_1(A, k3_graph_1(A, D), B)) ) ) ) ) ) ) ) ) ).
fof(s1_cat_3, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, f1_s1_cat_3, f2_s1_cat_3) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(f1_s1_cat_3, f2_s1_cat_3)))) )  &  (! [B] :  (r2_tarski(B, f1_s1_cat_3) => k7_partfun1(f2_s1_cat_3, A, B)=f3_s1_cat_3(B)) ) ) ) ).
fof(s2_cat_3, axiom,  ( (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, f1_s2_cat_3, f2_s2_cat_3) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(f1_s2_cat_3, f2_s2_cat_3)))) )  &  (! [B] :  (r2_tarski(B, f1_s2_cat_3) => k7_partfun1(f2_s2_cat_3, A, B)=f3_s2_cat_3(B)) ) ) )  &  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, f1_s2_cat_3, f2_s2_cat_3) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(f1_s2_cat_3, f2_s2_cat_3)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, f1_s2_cat_3, f2_s2_cat_3) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(f1_s2_cat_3, f2_s2_cat_3)))) )  =>  ( ( (! [C] :  (r2_tarski(C, f1_s2_cat_3) => k7_partfun1(f2_s2_cat_3, A, C)=f3_s2_cat_3(C)) )  &  (! [C] :  (r2_tarski(C, f1_s2_cat_3) => k7_partfun1(f2_s2_cat_3, B, C)=f3_s2_cat_3(C)) ) )  => r2_funct_2(f1_s2_cat_3, f2_s2_cat_3, A, B)) ) ) ) ) ) ).
fof(dt_f2_s1_cat_3, axiom,  ~ (v1_xboole_0(f2_s1_cat_3)) ).
fof(dt_f3_s1_cat_3, axiom,  (! [A] : m1_subset_1(f3_s1_cat_3(A), f2_s1_cat_3)) ).
fof(dt_f2_s2_cat_3, axiom,  ~ (v1_xboole_0(f2_s2_cat_3)) ).
fof(dt_f3_s2_cat_3, axiom,  (! [A] : m1_subset_1(f3_s2_cat_3(A), f2_s2_cat_3)) ).
fof(dt_k1_cat_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(C, A))  =>  (v1_funct_1(k1_cat_3(A, B, C)) &  (v1_funct_2(k1_cat_3(A, B, C), k1_tarski(B), A) & m1_subset_1(k1_cat_3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k1_tarski(B), A)))) ) ) ) ).
fof(redefinition_k1_cat_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(C, A))  => k1_cat_3(A, B, C)=k17_funcop_1(B, C)) ) ).
fof(dt_k2_cat_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, u4_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u4_struct_0(A))))) ) )  =>  (v1_funct_1(k2_cat_3(A, B, C)) &  (v1_funct_2(k2_cat_3(A, B, C), B, u1_struct_0(A)) & m1_subset_1(k2_cat_3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) ) ) ) ).
fof(dt_k3_cat_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, u4_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u4_struct_0(A))))) ) )  =>  (v1_funct_1(k3_cat_3(A, B, C)) &  (v1_funct_2(k3_cat_3(A, B, C), B, u1_struct_0(A)) & m1_subset_1(k3_cat_3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) ) ) ) ).
fof(dt_k4_cat_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, u4_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u4_struct_0(A))))) ) )  =>  (v1_funct_1(k4_cat_3(A, B, C)) &  (v1_funct_2(k4_cat_3(A, B, C), B, u4_struct_0(k1_oppcat_1(A))) & m1_subset_1(k4_cat_3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(B, u4_struct_0(k1_oppcat_1(A)))))) ) ) ) ).
fof(dt_k5_cat_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, u4_struct_0(k1_oppcat_1(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u4_struct_0(k1_oppcat_1(A)))))) ) )  =>  (v1_funct_1(k5_cat_3(A, B, C)) &  (v1_funct_2(k5_cat_3(A, B, C), B, u4_struct_0(A)) & m1_subset_1(k5_cat_3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(B, u4_struct_0(A))))) ) ) ) ).
fof(dt_k6_cat_3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u4_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u4_struct_0(A))))) )  & m1_subset_1(D, u4_struct_0(A))) )  =>  (v1_funct_1(k6_cat_3(A, B, C, D)) &  (v1_funct_2(k6_cat_3(A, B, C, D), B, u4_struct_0(A)) & m1_subset_1(k6_cat_3(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(B, u4_struct_0(A))))) ) ) ) ).
fof(dt_k7_cat_3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u4_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u4_struct_0(A))))) )  & m1_subset_1(D, u4_struct_0(A))) )  =>  (v1_funct_1(k7_cat_3(A, B, C, D)) &  (v1_funct_2(k7_cat_3(A, B, C, D), B, u4_struct_0(A)) & m1_subset_1(k7_cat_3(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(B, u4_struct_0(A))))) ) ) ) ).
fof(dt_k8_cat_3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u4_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u4_struct_0(A))))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, B, u4_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, u4_struct_0(A))))) ) ) )  =>  (v1_funct_1(k8_cat_3(A, B, C, D)) &  (v1_funct_2(k8_cat_3(A, B, C, D), B, u4_struct_0(A)) & m1_subset_1(k8_cat_3(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(B, u4_struct_0(A))))) ) ) ) ).
fof(dt_k9_cat_3, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) &  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_cat_1(D) &  (v3_cat_1(D) &  (v4_cat_1(D) &  (v5_cat_1(D) &  (v6_cat_1(D) & l1_cat_1(D)) ) ) ) ) ) )  &  (m2_cat_1(E, A, D) & m1_cat_1(F, A, B, C)) ) ) ) )  => m1_cat_1(k9_cat_3(A, B, C, D, E, F), D, k8_cat_1(A, D, E, B), k8_cat_1(A, D, E, C))) ) ).
fof(dt_k10_cat_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_cat_1(k10_cat_3(A, B, C), A, B, C)) ) ).
fof(dt_k11_cat_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_cat_1(k11_cat_3(A, B, C), A, B, C)) ) ).
fof(dt_m1_cat_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (! [D] :  (m1_cat_3(D, A, B, C) =>  (v1_funct_1(D) &  (v1_funct_2(D, C, u4_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, u4_struct_0(A))))) ) ) ) ) ) ).
fof(existence_m1_cat_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (? [D] : m1_cat_3(D, A, B, C)) ) ) ).
fof(dt_m2_cat_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (! [D] :  (m2_cat_3(D, A, B, C) =>  (v1_funct_1(D) &  (v1_funct_2(D, C, u4_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, u4_struct_0(A))))) ) ) ) ) ) ).
fof(existence_m2_cat_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (? [D] : m2_cat_3(D, A, B, C)) ) ) ).
fof(rc1_cat_4, axiom,  (? [A] :  (l1_cat_4(A) & v2_cat_4(A)) ) ).
fof(rc2_cat_4, axiom,  (? [A] :  (l1_cat_4(A) &  ( ~ (v2_struct_0(A))  &  ~ (v11_struct_0(A)) ) ) ) ).
fof(fc1_cat_4, axiom,  (! [A, B] :  ( ~ (v2_struct_0(k5_cat_4(A, B)))  &  (v7_struct_0(k5_cat_4(A, B)) &  ( ~ (v11_struct_0(k5_cat_4(A, B)))  &  (v15_struct_0(k5_cat_4(A, B)) & v2_cat_4(k5_cat_4(A, B))) ) ) ) ) ).
fof(rc3_cat_4, axiom,  (? [A] :  (l1_cat_4(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v14_struct_0(A) &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & v2_cat_4(A)) ) ) ) ) ) ) ) ) ) ).
fof(fc2_cat_4, axiom,  (! [A, B] :  ( ~ (v2_struct_0(k5_cat_4(A, B)))  &  ( ~ (v11_struct_0(k5_cat_4(A, B)))  &  (v2_cat_1(k5_cat_4(A, B)) &  (v3_cat_1(k5_cat_4(A, B)) &  (v4_cat_1(k5_cat_4(A, B)) &  (v5_cat_1(k5_cat_4(A, B)) &  (v6_cat_1(k5_cat_4(A, B)) & v2_cat_4(k5_cat_4(A, B))) ) ) ) ) ) ) ) ).
fof(rc4_cat_4, axiom,  (? [A] :  (l1_cat_4(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v14_struct_0(A) &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v2_cat_4(A) & v3_cat_4(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc5_cat_4, axiom,  (? [A] :  (l2_cat_4(A) & v5_cat_4(A)) ) ).
fof(rc6_cat_4, axiom,  (? [A] :  (l2_cat_4(A) &  ( ~ (v2_struct_0(A))  &  ~ (v11_struct_0(A)) ) ) ) ).
fof(fc3_cat_4, axiom,  (! [A, B] :  ( ~ (v2_struct_0(k23_cat_4(A, B)))  &  (v7_struct_0(k23_cat_4(A, B)) &  ( ~ (v11_struct_0(k23_cat_4(A, B)))  &  (v15_struct_0(k23_cat_4(A, B)) & v5_cat_4(k23_cat_4(A, B))) ) ) ) ) ).
fof(rc7_cat_4, axiom,  (? [A] :  (l2_cat_4(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v14_struct_0(A) &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & v5_cat_4(A)) ) ) ) ) ) ) ) ) ) ).
fof(fc4_cat_4, axiom,  (! [A, B] :  ( ~ (v2_struct_0(k23_cat_4(A, B)))  &  ( ~ (v11_struct_0(k23_cat_4(A, B)))  &  (v2_cat_1(k23_cat_4(A, B)) &  (v3_cat_1(k23_cat_4(A, B)) &  (v4_cat_1(k23_cat_4(A, B)) &  (v5_cat_1(k23_cat_4(A, B)) &  (v6_cat_1(k23_cat_4(A, B)) & v5_cat_4(k23_cat_4(A, B))) ) ) ) ) ) ) ) ).
fof(rc8_cat_4, axiom,  (? [A] :  (l2_cat_4(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v14_struct_0(A) &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v5_cat_4(A) & v6_cat_4(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_cat_1(A, B, C) <=>  ( ~ (k2_cat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, C, B)=k1_xboole_0)  &  (? [D] :  (m1_cat_1(D, A, B, C) &  (? [E] :  (m1_cat_1(E, A, C, B) &  (k5_cat_1(A, C, B, C, E, D)=k4_cat_1(A, C) & k5_cat_1(A, B, C, B, D, E)=k4_cat_1(A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (v1_cat_4(A) <=>  (! [B] :  (v1_finset_1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_cat_3(E, A, D, B) &  (r2_funct_2(B, u1_struct_0(A), k3_cat_3(A, B, E), C) & r1_cat_3(A, D, B, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (v1_cat_4(A) <=>  ( (? [B] :  (m1_subset_1(B, u1_struct_0(A)) & v10_cat_1(B, A)) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u4_struct_0(A)) &  (? [F] :  (m1_subset_1(F, u4_struct_0(A)) &  (k3_graph_1(A, E)=D &  (k3_graph_1(A, F)=D &  (k4_graph_1(A, E)=B &  (k4_graph_1(A, F)=C & r2_cat_3(A, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_cat_4(A)) )  => k1_cat_4(A)=u1_cat_4(A)) ) ).
fof(d4_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_cat_4(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_cat_4(A, B, C)=k4_binop_1(u1_struct_0(A), u2_cat_4(A), B, C)) ) ) ) ) ) ).
fof(d5_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_cat_4(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_cat_4(A, B, C)=k2_binop_1(u1_struct_0(A), u1_struct_0(A), u4_struct_0(A), u3_cat_4(A), B, C)) ) ) ) ) ) ).
fof(d6_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_cat_4(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_cat_4(A, B, C)=k2_binop_1(u1_struct_0(A), u1_struct_0(A), u4_struct_0(A), u4_cat_4(A), B, C)) ) ) ) ) ) ).
fof(d7_cat_4, axiom,  (! [A] :  (! [B] : k5_cat_4(A, B)=g1_cat_4(k1_tarski(A), k1_tarski(B), k19_funcop_1(B, A), k19_funcop_1(B, A), k18_funcop_1(B, B, B), k1_algstr_1(A), k18_funcop_1(A, A, A), k18_funcop_1(A, A, B), k18_funcop_1(A, A, B))) ) ).
fof(t2_cat_4, axiom,  (! [A] :  (! [B] : g1_cat_1(u1_struct_0(k5_cat_4(A, B)), u4_struct_0(k5_cat_4(A, B)), u1_graph_1(k5_cat_4(A, B)), u2_graph_1(k5_cat_4(A, B)), u1_cat_1(k5_cat_4(A, B)))=k3_cat_1(A, B)) ) ).
fof(t3_cat_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_cat_4(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_cat_4(A, B))) => C=D) ) ) ) ) ) ).
fof(t4_cat_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, u4_struct_0(k5_cat_4(A, B))) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(k5_cat_4(A, B))) => C=D) ) ) ) ) ) ).
fof(t5_cat_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_cat_4(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_cat_4(A, B))) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(k5_cat_4(A, B))) => r2_tarski(E, k2_cat_1(k5_cat_4(A, B), C, D))) ) ) ) ) ) ) ) ).
fof(t6_cat_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_cat_4(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_cat_4(A, B))) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(k5_cat_4(A, B))) => m1_cat_1(E, k5_cat_4(A, B), C, D)) ) ) ) ) ) ) ) ).
fof(t7_cat_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_cat_4(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_cat_4(A, B))) =>  ~ (k2_cat_1(k5_cat_4(A, B), C, D)=k1_xboole_0) ) ) ) ) ) ) ).
fof(t8_cat_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_cat_4(A, B))) => v10_cat_1(C, k5_cat_4(A, B))) ) ) ) ).
fof(t9_cat_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_cat_4(A, B))) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(k5_cat_4(A, B))) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(k5_cat_4(A, B))) => r2_cat_3(k5_cat_4(A, B), C, D, E)) ) ) ) ) ) ) ) ).
fof(d8_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_4(A)) ) ) ) ) ) )  =>  (v3_cat_4(A) <=>  (v10_cat_1(u1_cat_4(A), A) &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k4_graph_1(A, k2_binop_1(u1_struct_0(A), u1_struct_0(A), u4_struct_0(A), u3_cat_4(A), B, C))=B &  (k4_graph_1(A, k2_binop_1(u1_struct_0(A), u1_struct_0(A), u4_struct_0(A), u4_cat_4(A), B, C))=C & r2_cat_3(A, k4_binop_1(u1_struct_0(A), u2_cat_4(A), B, C), k2_binop_1(u1_struct_0(A), u1_struct_0(A), u4_struct_0(A), u3_cat_4(A), B, C), k2_binop_1(u1_struct_0(A), u1_struct_0(A), u4_struct_0(A), u4_cat_4(A), B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t10_cat_4, axiom,  (! [A] :  (! [B] : v3_cat_4(k5_cat_4(A, B))) ) ).
fof(t11_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  => v10_cat_1(k1_cat_4(A), A)) ) ).
fof(t12_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_cat_1(C, A, B, k1_cat_4(A)) =>  (! [D] :  (m1_cat_1(D, A, B, k1_cat_4(A)) => C=D) ) ) ) ) ) ) ) ).
fof(t13_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ (k2_cat_1(A, B, k1_cat_4(A))=k1_xboole_0) ) ) ) ) ).
fof(d9_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_cat_1(C, A, B, k1_cat_4(A)) => C=k6_cat_4(A, B)) ) ) ) ) ) ).
fof(t14_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_cat_4(A, B)=k10_cat_3(A, B, k1_cat_4(A))) ) ) ) ).
fof(t15_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k3_graph_1(A, k6_cat_4(A, B))=B & k4_graph_1(A, k6_cat_4(A, B))=k1_cat_4(A)) ) ) ) ) ).
fof(t16_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_cat_1(A, B, k1_cat_4(A))=k1_tarski(k6_cat_4(A, B))) ) ) ) ).
fof(t17_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k3_graph_1(A, k3_cat_4(A, B, C))=k2_cat_4(A, B, C) & k4_graph_1(A, k3_cat_4(A, B, C))=B) ) ) ) ) ) ) ).
fof(t18_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k3_graph_1(A, k4_cat_4(A, B, C))=k2_cat_4(A, B, C) & k4_graph_1(A, k4_cat_4(A, B, C))=C) ) ) ) ) ) ) ).
fof(t19_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (k2_cat_1(A, k2_cat_4(A, B, C), B)=k1_xboole_0)  &  ~ (k2_cat_1(A, k2_cat_4(A, B, C), C)=k1_xboole_0) ) ) ) ) ) ) ) ).
fof(t20_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_cat_3(A, k2_cat_4(A, B, C), k7_cat_4(A, B, C), k8_cat_4(A, B, C))) ) ) ) ) ) ).
fof(t21_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  => v1_cat_4(A)) ) ).
fof(t22_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (k2_cat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, C, B)=k1_xboole_0)  &  ~ ( (v1_cat_3(k7_cat_4(A, B, C), A, k2_cat_4(A, B, C), B) & v1_cat_3(k8_cat_4(A, B, C), A, k2_cat_4(A, B, C), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_cat_1(E, A, D, B) =>  (! [F] :  (m1_cat_1(F, A, D, C) =>  ~ ( ( ~ (k2_cat_1(A, D, B)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, D, C)=k1_xboole_0)  &  ~ ( (! [G] :  (m1_cat_1(G, A, D, k2_cat_4(A, B, C)) =>  (G=k9_cat_4(A, B, C, D, E, F) <=>  (k5_cat_1(A, D, k2_cat_4(A, B, C), B, G, k7_cat_4(A, B, C))=E & k5_cat_1(A, D, k2_cat_4(A, B, C), C, G, k8_cat_4(A, B, C))=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (k2_cat_1(A, D, B)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, D, C)=k1_xboole_0)  & k2_cat_1(A, D, k2_cat_4(A, B, C))=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k9_cat_4(A, B, C, k2_cat_4(A, B, C), k7_cat_4(A, B, C), k8_cat_4(A, B, C))=k4_cat_1(A, k2_cat_4(A, B, C))) ) ) ) ) ) ).
fof(t25_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_cat_1(F, A, D, B) =>  (! [G] :  (m1_cat_1(G, A, D, C) =>  (! [H] :  (m1_cat_1(H, A, E, D) =>  ~ ( ( ~ (k2_cat_1(A, D, B)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, D, C)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, E, D)=k1_xboole_0)  &  ~ (k9_cat_4(A, B, C, E, k5_cat_1(A, E, D, B, H, F), k5_cat_1(A, E, D, C, H, G))=k5_cat_1(A, E, D, k2_cat_4(A, B, C), H, k9_cat_4(A, B, C, D, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_cat_1(E, A, D, B) =>  (! [F] :  (m1_cat_1(F, A, D, B) =>  (! [G] :  (m1_cat_1(G, A, D, C) =>  (! [H] :  (m1_cat_1(H, A, D, C) =>  (k9_cat_4(A, B, C, D, E, G)=k9_cat_4(A, B, C, D, F, H) =>  (k2_cat_1(A, D, B)=k1_xboole_0 |  (k2_cat_1(A, D, C)=k1_xboole_0 |  (E=F & G=H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_cat_1(E, A, D, B) =>  (! [F] :  (m1_cat_1(F, A, D, C) =>  ~ ( ( ~ (k2_cat_1(A, D, B)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, D, C)=k1_xboole_0)  &  ( (v7_cat_1(E, A, D, B) | v7_cat_1(F, A, D, C))  &  ~ (v7_cat_1(k9_cat_4(A, B, C, D, E, F), A, D, k2_cat_4(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (k2_cat_1(A, B, k2_cat_4(A, B, k1_cat_4(A)))=k1_xboole_0)  &  ~ (k2_cat_1(A, B, k2_cat_4(A, k1_cat_4(A), B))=k1_xboole_0) ) ) ) ) ) ).
fof(d11_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k10_cat_4(A, B)=k8_cat_4(A, k1_cat_4(A), B)) ) ) ) ).
fof(d12_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k11_cat_4(A, B)=k9_cat_4(A, k1_cat_4(A), B, B, k6_cat_4(A, B), k4_cat_1(A, B))) ) ) ) ).
fof(d13_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k12_cat_4(A, B)=k7_cat_4(A, B, k1_cat_4(A))) ) ) ) ).
fof(d14_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k13_cat_4(A, B)=k9_cat_4(A, B, k1_cat_4(A), B, k4_cat_1(A, B), k6_cat_4(A, B))) ) ) ) ).
fof(t29_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k5_cat_1(A, B, k2_cat_4(A, k1_cat_4(A), B), B, k11_cat_4(A, B), k10_cat_4(A, B))=k4_cat_1(A, B) &  (k5_cat_1(A, k2_cat_4(A, k1_cat_4(A), B), B, k2_cat_4(A, k1_cat_4(A), B), k10_cat_4(A, B), k11_cat_4(A, B))=k4_cat_1(A, k2_cat_4(A, k1_cat_4(A), B)) &  (k5_cat_1(A, B, k2_cat_4(A, B, k1_cat_4(A)), B, k13_cat_4(A, B), k12_cat_4(A, B))=k4_cat_1(A, B) & k5_cat_1(A, k2_cat_4(A, B, k1_cat_4(A)), B, k2_cat_4(A, B, k1_cat_4(A)), k12_cat_4(A, B), k13_cat_4(A, B))=k4_cat_1(A, k2_cat_4(A, B, k1_cat_4(A)))) ) ) ) ) ) ) ).
fof(t30_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (r1_cat_1(A, B, k2_cat_4(A, B, k1_cat_4(A))) & r1_cat_1(A, B, k2_cat_4(A, k1_cat_4(A), B))) ) ) ) ) ).
fof(d15_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k14_cat_4(A, B, C)=k9_cat_4(A, C, B, k2_cat_4(A, B, C), k8_cat_4(A, B, C), k7_cat_4(A, B, C))) ) ) ) ) ) ).
fof(t31_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ (k2_cat_1(A, k2_cat_4(A, B, C), k2_cat_4(A, C, B))=k1_xboole_0) ) ) ) ) ) ) ).
fof(t32_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k5_cat_1(A, k2_cat_4(A, C, B), k2_cat_4(A, B, C), k2_cat_4(A, C, B), k14_cat_4(A, C, B), k14_cat_4(A, B, C))=k4_cat_1(A, k2_cat_4(A, C, B))) ) ) ) ) ) ).
fof(t33_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_cat_1(A, k2_cat_4(A, B, C), k2_cat_4(A, C, B))) ) ) ) ) ) ).
fof(d16_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k15_cat_4(A, B)=k9_cat_4(A, B, B, B, k4_cat_1(A, B), k4_cat_1(A, B))) ) ) ) ).
fof(t34_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ (k2_cat_1(A, B, k2_cat_4(A, B, B))=k1_xboole_0) ) ) ) ) ).
fof(t35_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_cat_1(D, A, B, C) =>  ( ~ (k2_cat_1(A, B, C)=k1_xboole_0)  => k9_cat_4(A, C, C, B, D, D)=k5_cat_1(A, B, C, k2_cat_4(A, C, C), D, k15_cat_4(A, C))) ) ) ) ) ) ) ) ) ).
fof(d17_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k16_cat_4(A, B, C, D)=k9_cat_4(A, B, k2_cat_4(A, C, D), k2_cat_4(A, k2_cat_4(A, B, C), D), k5_cat_1(A, k2_cat_4(A, k2_cat_4(A, B, C), D), k2_cat_4(A, B, C), B, k7_cat_4(A, k2_cat_4(A, B, C), D), k7_cat_4(A, B, C)), k9_cat_4(A, C, D, k2_cat_4(A, k2_cat_4(A, B, C), D), k5_cat_1(A, k2_cat_4(A, k2_cat_4(A, B, C), D), k2_cat_4(A, B, C), C, k7_cat_4(A, k2_cat_4(A, B, C), D), k8_cat_4(A, B, C)), k8_cat_4(A, k2_cat_4(A, B, C), D)))) ) ) ) ) ) ) ) ).
fof(d18_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k17_cat_4(A, B, C, D)=k9_cat_4(A, k2_cat_4(A, B, C), D, k2_cat_4(A, B, k2_cat_4(A, C, D)), k9_cat_4(A, B, C, k2_cat_4(A, B, k2_cat_4(A, C, D)), k7_cat_4(A, B, k2_cat_4(A, C, D)), k5_cat_1(A, k2_cat_4(A, B, k2_cat_4(A, C, D)), k2_cat_4(A, C, D), C, k8_cat_4(A, B, k2_cat_4(A, C, D)), k7_cat_4(A, C, D))), k5_cat_1(A, k2_cat_4(A, B, k2_cat_4(A, C, D)), k2_cat_4(A, C, D), D, k8_cat_4(A, B, k2_cat_4(A, C, D)), k8_cat_4(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t36_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ~ (k2_cat_1(A, k2_cat_4(A, k2_cat_4(A, B, C), D), k2_cat_4(A, B, k2_cat_4(A, C, D)))=k1_xboole_0)  &  ~ (k2_cat_1(A, k2_cat_4(A, B, k2_cat_4(A, C, D)), k2_cat_4(A, k2_cat_4(A, B, C), D))=k1_xboole_0) ) ) ) ) ) ) ) ) ) ).
fof(t37_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k5_cat_1(A, k2_cat_4(A, B, k2_cat_4(A, C, D)), k2_cat_4(A, k2_cat_4(A, B, C), D), k2_cat_4(A, B, k2_cat_4(A, C, D)), k17_cat_4(A, B, C, D), k16_cat_4(A, B, C, D))=k4_cat_1(A, k2_cat_4(A, B, k2_cat_4(A, C, D))) & k5_cat_1(A, k2_cat_4(A, k2_cat_4(A, B, C), D), k2_cat_4(A, B, k2_cat_4(A, C, D)), k2_cat_4(A, k2_cat_4(A, B, C), D), k16_cat_4(A, B, C, D), k17_cat_4(A, B, C, D))=k4_cat_1(A, k2_cat_4(A, k2_cat_4(A, B, C), D))) ) ) ) ) ) ) ) ) ).
fof(t38_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_cat_1(A, k2_cat_4(A, k2_cat_4(A, B, C), D), k2_cat_4(A, B, k2_cat_4(A, C, D)))) ) ) ) ) ) ) ) ).
fof(d19_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_cat_1(F, A, B, C) =>  (! [G] :  (m1_cat_1(G, A, D, E) => k18_cat_4(A, B, C, D, E, F, G)=k9_cat_4(A, C, E, k2_cat_4(A, B, D), k5_cat_1(A, k2_cat_4(A, B, D), B, C, k7_cat_4(A, B, D), F), k5_cat_1(A, k2_cat_4(A, B, D), D, E, k8_cat_4(A, B, D), G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (k2_cat_1(A, B, D)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, C, E)=k1_xboole_0)  & k2_cat_1(A, k2_cat_4(A, B, C), k2_cat_4(A, D, E))=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k18_cat_4(A, B, B, C, C, k4_cat_1(A, B), k4_cat_1(A, C))=k4_cat_1(A, k2_cat_4(A, B, C))) ) ) ) ) ) ).
fof(t41_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_cat_1(G, A, B, C) =>  (! [H] :  (m1_cat_1(H, A, D, E) =>  (! [I] :  (m1_cat_1(I, A, F, B) =>  (! [J] :  (m1_cat_1(J, A, F, D) =>  ~ ( ( ~ (k2_cat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, D, E)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, F, B)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, F, D)=k1_xboole_0)  &  ~ (k5_cat_1(A, F, k2_cat_4(A, B, D), k2_cat_4(A, C, E), k9_cat_4(A, B, D, F, I, J), k18_cat_4(A, B, C, D, E, G, H))=k9_cat_4(A, C, E, F, k5_cat_1(A, F, B, C, I, G), k5_cat_1(A, F, D, E, J, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_cat_1(E, A, D, B) =>  (! [F] :  (m1_cat_1(F, A, D, C) =>  ~ ( ( ~ (k2_cat_1(A, D, B)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, D, C)=k1_xboole_0)  &  ~ (k9_cat_4(A, B, C, D, E, F)=k5_cat_1(A, D, k2_cat_4(A, D, D), k2_cat_4(A, B, C), k15_cat_4(A, D), k18_cat_4(A, D, B, D, C, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_cat_1(H, A, B, C) =>  (! [I] :  (m1_cat_1(I, A, D, E) =>  (! [J] :  (m1_cat_1(J, A, F, B) =>  (! [K] :  (m1_cat_1(K, A, G, D) =>  ~ ( ( ~ (k2_cat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, D, E)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, F, B)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, G, D)=k1_xboole_0)  &  ~ (k5_cat_1(A, k2_cat_4(A, F, G), k2_cat_4(A, B, D), k2_cat_4(A, C, E), k18_cat_4(A, F, B, G, D, J, K), k18_cat_4(A, B, C, D, E, H, I))=k18_cat_4(A, F, C, G, E, k5_cat_1(A, F, B, C, J, H), k5_cat_1(A, G, D, E, K, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d20_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (v4_cat_4(A) <=>  (! [B] :  (v1_finset_1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m2_cat_3(E, A, D, B) &  (r2_funct_2(B, u1_struct_0(A), k2_cat_3(A, B, E), C) & r3_cat_3(A, D, B, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (v4_cat_4(A) <=>  ( (? [B] :  (m1_subset_1(B, u1_struct_0(A)) & v11_cat_1(B, A)) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u4_struct_0(A)) &  (? [F] :  (m1_subset_1(F, u4_struct_0(A)) &  (k3_graph_1(A, E)=B &  (k3_graph_1(A, F)=C &  (k4_graph_1(A, E)=D &  (k4_graph_1(A, F)=D & r4_cat_3(A, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d21_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l2_cat_4(A)) )  => k19_cat_4(A)=u5_cat_4(A)) ) ).
fof(d22_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l2_cat_4(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k20_cat_4(A, B, C)=k4_binop_1(u1_struct_0(A), u6_cat_4(A), B, C)) ) ) ) ) ) ).
fof(d23_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l2_cat_4(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k21_cat_4(A, B, C)=k2_binop_1(u1_struct_0(A), u1_struct_0(A), u4_struct_0(A), u7_cat_4(A), B, C)) ) ) ) ) ) ).
fof(d24_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l2_cat_4(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k22_cat_4(A, B, C)=k2_binop_1(u1_struct_0(A), u1_struct_0(A), u4_struct_0(A), u8_cat_4(A), B, C)) ) ) ) ) ) ).
fof(d25_cat_4, axiom,  (! [A] :  (! [B] : k23_cat_4(A, B)=g2_cat_4(k1_tarski(A), k1_tarski(B), k19_funcop_1(B, A), k19_funcop_1(B, A), k18_funcop_1(B, B, B), k1_algstr_1(A), k18_funcop_1(A, A, A), k18_funcop_1(A, A, B), k18_funcop_1(A, A, B))) ) ).
fof(t46_cat_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(k23_cat_4(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k23_cat_4(A, B))) => C=D) ) ) ) ) ) ).
fof(t47_cat_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, u4_struct_0(k23_cat_4(A, B))) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(k23_cat_4(A, B))) => C=D) ) ) ) ) ) ).
fof(t48_cat_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(k23_cat_4(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k23_cat_4(A, B))) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(k23_cat_4(A, B))) => r2_tarski(E, k2_cat_1(k23_cat_4(A, B), C, D))) ) ) ) ) ) ) ) ).
fof(t49_cat_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(k23_cat_4(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k23_cat_4(A, B))) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(k23_cat_4(A, B))) => m1_cat_1(E, k23_cat_4(A, B), C, D)) ) ) ) ) ) ) ) ).
fof(t50_cat_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(k23_cat_4(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k23_cat_4(A, B))) =>  ~ (k2_cat_1(k23_cat_4(A, B), C, D)=k1_xboole_0) ) ) ) ) ) ) ).
fof(t51_cat_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(k23_cat_4(A, B))) => v11_cat_1(C, k23_cat_4(A, B))) ) ) ) ).
fof(t52_cat_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(k23_cat_4(A, B))) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(k23_cat_4(A, B))) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(k23_cat_4(A, B))) => r4_cat_3(k23_cat_4(A, B), C, D, E)) ) ) ) ) ) ) ) ).
fof(d26_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l2_cat_4(A)) ) ) ) ) ) )  =>  (v6_cat_4(A) <=>  (v11_cat_1(u5_cat_4(A), A) &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k3_graph_1(A, k2_binop_1(u1_struct_0(A), u1_struct_0(A), u4_struct_0(A), u7_cat_4(A), B, C))=B &  (k3_graph_1(A, k2_binop_1(u1_struct_0(A), u1_struct_0(A), u4_struct_0(A), u8_cat_4(A), B, C))=C & r4_cat_3(A, k4_binop_1(u1_struct_0(A), u6_cat_4(A), B, C), k2_binop_1(u1_struct_0(A), u1_struct_0(A), u4_struct_0(A), u7_cat_4(A), B, C), k2_binop_1(u1_struct_0(A), u1_struct_0(A), u4_struct_0(A), u8_cat_4(A), B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t53_cat_4, axiom,  (! [A] :  (! [B] : v6_cat_4(k23_cat_4(A, B))) ) ).
fof(t54_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  => v11_cat_1(k19_cat_4(A), A)) ) ).
fof(t55_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_cat_1(C, A, k19_cat_4(A), B) =>  (! [D] :  (m1_cat_1(D, A, k19_cat_4(A), B) => C=D) ) ) ) ) ) ) ) ).
fof(d27_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_cat_1(C, A, k19_cat_4(A), B) => C=k24_cat_4(A, B)) ) ) ) ) ) ).
fof(t56_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ (k2_cat_1(A, k19_cat_4(A), B)=k1_xboole_0) ) ) ) ) ).
fof(t57_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k24_cat_4(A, B)=k11_cat_3(A, k19_cat_4(A), B)) ) ) ) ).
fof(t58_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k3_graph_1(A, k24_cat_4(A, B))=k19_cat_4(A) & k4_graph_1(A, k24_cat_4(A, B))=B) ) ) ) ) ).
fof(t59_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_cat_1(A, k19_cat_4(A), B)=k1_tarski(k24_cat_4(A, B))) ) ) ) ).
fof(t60_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k3_graph_1(A, k21_cat_4(A, B, C))=B & k4_graph_1(A, k21_cat_4(A, B, C))=k20_cat_4(A, B, C)) ) ) ) ) ) ) ).
fof(t61_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k3_graph_1(A, k22_cat_4(A, B, C))=C & k4_graph_1(A, k22_cat_4(A, B, C))=k20_cat_4(A, B, C)) ) ) ) ) ) ) ).
fof(t62_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (k2_cat_1(A, B, k20_cat_4(A, B, C))=k1_xboole_0)  &  ~ (k2_cat_1(A, C, k20_cat_4(A, B, C))=k1_xboole_0) ) ) ) ) ) ) ) ).
fof(t63_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r4_cat_3(A, k20_cat_4(A, B, C), k21_cat_4(A, B, C), k22_cat_4(A, B, C))) ) ) ) ) ) ).
fof(t64_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  => v4_cat_4(A)) ) ).
fof(t65_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (k2_cat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, C, B)=k1_xboole_0)  &  ~ ( (v2_cat_3(k25_cat_4(A, B, C), A, B, k20_cat_4(A, B, C)) & v2_cat_3(k26_cat_4(A, B, C), A, C, k20_cat_4(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(d28_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_cat_1(E, A, B, D) =>  (! [F] :  (m1_cat_1(F, A, C, D) =>  ~ ( ( ~ (k2_cat_1(A, B, D)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, C, D)=k1_xboole_0)  &  ~ ( (! [G] :  (m1_cat_1(G, A, k20_cat_4(A, B, C), D) =>  (G=k29_cat_4(A, B, C, D, E, F) <=>  (k5_cat_1(A, B, k20_cat_4(A, B, C), D, k27_cat_4(A, B, C), G)=E & k5_cat_1(A, C, k20_cat_4(A, B, C), D, k28_cat_4(A, B, C), G)=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (k2_cat_1(A, B, D)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, C, D)=k1_xboole_0)  & k2_cat_1(A, k20_cat_4(A, B, C), D)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k29_cat_4(A, B, C, k20_cat_4(A, B, C), k27_cat_4(A, B, C), k28_cat_4(A, B, C))=k4_cat_1(A, k20_cat_4(A, B, C))) ) ) ) ) ) ).
fof(t68_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_cat_1(F, A, B, D) =>  (! [G] :  (m1_cat_1(G, A, C, D) =>  (! [H] :  (m1_cat_1(H, A, D, E) =>  ~ ( ( ~ (k2_cat_1(A, B, D)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, C, D)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, D, E)=k1_xboole_0)  &  ~ (k29_cat_4(A, B, C, E, k5_cat_1(A, B, D, E, F, H), k5_cat_1(A, C, D, E, G, H))=k5_cat_1(A, k20_cat_4(A, B, C), D, E, k29_cat_4(A, B, C, D, F, G), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t69_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_cat_1(E, A, B, D) =>  (! [F] :  (m1_cat_1(F, A, B, D) =>  (! [G] :  (m1_cat_1(G, A, C, D) =>  (! [H] :  (m1_cat_1(H, A, C, D) =>  (k29_cat_4(A, B, C, D, E, G)=k29_cat_4(A, B, C, D, F, H) =>  (k2_cat_1(A, B, D)=k1_xboole_0 |  (k2_cat_1(A, C, D)=k1_xboole_0 |  (E=F & G=H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_cat_1(E, A, B, D) =>  (! [F] :  (m1_cat_1(F, A, C, D) =>  ~ ( ( ~ (k2_cat_1(A, B, D)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, C, D)=k1_xboole_0)  &  ( (v8_cat_1(E, A, B, D) | v8_cat_1(F, A, C, D))  &  ~ (v8_cat_1(k29_cat_4(A, B, C, D, E, F), A, k20_cat_4(A, B, C), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (r1_cat_1(A, B, k20_cat_4(A, B, k19_cat_4(A))) & r1_cat_1(A, B, k20_cat_4(A, k19_cat_4(A), B))) ) ) ) ) ).
fof(t72_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_cat_1(A, k20_cat_4(A, B, C), k20_cat_4(A, C, B))) ) ) ) ) ) ).
fof(t73_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_cat_1(A, k20_cat_4(A, k20_cat_4(A, B, C), D), k20_cat_4(A, B, k20_cat_4(A, C, D)))) ) ) ) ) ) ) ) ).
fof(d29_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k30_cat_4(A, B)=k29_cat_4(A, B, B, B, k4_cat_1(A, B), k4_cat_1(A, B))) ) ) ) ).
fof(d30_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_cat_1(F, A, B, D) =>  (! [G] :  (m1_cat_1(G, A, C, E) => k31_cat_4(A, B, C, D, E, F, G)=k29_cat_4(A, B, C, k20_cat_4(A, D, E), k5_cat_1(A, B, D, k20_cat_4(A, D, E), F, k27_cat_4(A, D, E)), k5_cat_1(A, C, E, k20_cat_4(A, D, E), G, k28_cat_4(A, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t74_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (k2_cat_1(A, B, D)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, C, E)=k1_xboole_0)  & k2_cat_1(A, k20_cat_4(A, B, C), k20_cat_4(A, D, E))=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k31_cat_4(A, B, C, B, C, k4_cat_1(A, B), k4_cat_1(A, C))=k4_cat_1(A, k20_cat_4(A, B, C))) ) ) ) ) ) ).
fof(t76_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_cat_1(G, A, B, D) =>  (! [H] :  (m1_cat_1(H, A, C, E) =>  (! [I] :  (m1_cat_1(I, A, D, F) =>  (! [J] :  (m1_cat_1(J, A, E, F) =>  ~ ( ( ~ (k2_cat_1(A, B, D)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, C, E)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, D, F)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, E, F)=k1_xboole_0)  &  ~ (k5_cat_1(A, k20_cat_4(A, B, C), k20_cat_4(A, D, E), F, k31_cat_4(A, B, C, D, E, G, H), k29_cat_4(A, D, E, F, I, J))=k29_cat_4(A, B, C, F, k5_cat_1(A, B, D, F, G, I), k5_cat_1(A, C, E, F, H, J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t77_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_cat_1(E, A, B, D) =>  (! [F] :  (m1_cat_1(F, A, C, D) =>  ~ ( ( ~ (k2_cat_1(A, B, D)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, C, D)=k1_xboole_0)  &  ~ (k5_cat_1(A, k20_cat_4(A, B, C), k20_cat_4(A, D, D), D, k31_cat_4(A, B, C, D, D, E, F), k30_cat_4(A, D))=k29_cat_4(A, B, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t78_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_cat_1(H, A, B, D) =>  (! [I] :  (m1_cat_1(I, A, C, E) =>  (! [J] :  (m1_cat_1(J, A, D, F) =>  (! [K] :  (m1_cat_1(K, A, E, G) =>  ~ ( ( ~ (k2_cat_1(A, B, D)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, C, E)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, D, F)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, E, G)=k1_xboole_0)  &  ~ (k5_cat_1(A, k20_cat_4(A, B, C), k20_cat_4(A, D, E), k20_cat_4(A, F, G), k31_cat_4(A, B, C, D, E, H, I), k31_cat_4(A, D, E, F, G, J, K))=k31_cat_4(A, B, C, F, G, k5_cat_1(A, B, D, F, H, J), k5_cat_1(A, C, E, G, I, K))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(abstractness_v2_cat_4, axiom,  (! [A] :  (l1_cat_4(A) =>  (v2_cat_4(A) => A=g1_cat_4(u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A), u1_cat_4(A), u2_cat_4(A), u3_cat_4(A), u4_cat_4(A))) ) ) ).
fof(dt_l1_cat_4, axiom,  (! [A] :  (l1_cat_4(A) => l1_cat_1(A)) ) ).
fof(existence_l1_cat_4, axiom,  (? [A] : l1_cat_4(A)) ).
fof(dt_g1_cat_4, axiom,  (! [A, B, C, D, E, F, G, H, I] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, B, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B))))  &  (m1_subset_1(F, A) &  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(A, A), A) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(H) &  (v1_funct_2(H, k2_zfmisc_1(A, A), B) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), B)))) )  &  (v1_funct_1(I) &  (v1_funct_2(I, k2_zfmisc_1(A, A), B) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), B)))) ) ) ) ) ) ) )  =>  (v2_cat_4(g1_cat_4(A, B, C, D, E, F, G, H, I)) & l1_cat_4(g1_cat_4(A, B, C, D, E, F, G, H, I))) ) ) ).
fof(free_g1_cat_4, axiom,  (! [A, B, C, D, E, F, G, H, I] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, B, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B))))  &  (m1_subset_1(F, A) &  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(A, A), A) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(H) &  (v1_funct_2(H, k2_zfmisc_1(A, A), B) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), B)))) )  &  (v1_funct_1(I) &  (v1_funct_2(I, k2_zfmisc_1(A, A), B) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), B)))) ) ) ) ) ) ) )  =>  (! [J, K, L, M, N, O, P, Q, R] :  (g1_cat_4(A, B, C, D, E, F, G, H, I)=g1_cat_4(J, K, L, M, N, O, P, Q, R) =>  (A=J &  (B=K &  (C=L &  (D=M &  (E=N &  (F=O &  (G=P &  (H=Q & I=R) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_u1_cat_4, axiom,  (! [A] :  (l1_cat_4(A) => m1_subset_1(u1_cat_4(A), u1_struct_0(A))) ) ).
fof(dt_u2_cat_4, axiom,  (! [A] :  (l1_cat_4(A) =>  (v1_funct_1(u2_cat_4(A)) &  (v1_funct_2(u2_cat_4(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(u2_cat_4(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(dt_u3_cat_4, axiom,  (! [A] :  (l1_cat_4(A) =>  (v1_funct_1(u3_cat_4(A)) &  (v1_funct_2(u3_cat_4(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u4_struct_0(A)) & m1_subset_1(u3_cat_4(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u4_struct_0(A))))) ) ) ) ).
fof(dt_u4_cat_4, axiom,  (! [A] :  (l1_cat_4(A) =>  (v1_funct_1(u4_cat_4(A)) &  (v1_funct_2(u4_cat_4(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u4_struct_0(A)) & m1_subset_1(u4_cat_4(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u4_struct_0(A))))) ) ) ) ).
fof(dt_k1_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_cat_4(A)) )  => m1_subset_1(k1_cat_4(A), u1_struct_0(A))) ) ).
fof(dt_k2_cat_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_cat_4(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k2_cat_4(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k3_cat_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_cat_4(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k3_cat_4(A, B, C), u4_struct_0(A))) ) ).
fof(dt_k4_cat_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_cat_4(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k4_cat_4(A, B, C), u4_struct_0(A))) ) ).
fof(dt_k5_cat_4, axiom,  (! [A, B] :  (v2_cat_4(k5_cat_4(A, B)) & l1_cat_4(k5_cat_4(A, B))) ) ).
fof(dt_k6_cat_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_cat_1(k6_cat_4(A, B), A, B, k1_cat_4(A))) ) ).
fof(dt_k7_cat_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_cat_1(k7_cat_4(A, B, C), A, k2_cat_4(A, B, C), B)) ) ).
fof(redefinition_k7_cat_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k7_cat_4(A, B, C)=k3_cat_4(A, B, C)) ) ).
fof(dt_k8_cat_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_cat_1(k8_cat_4(A, B, C), A, k2_cat_4(A, B, C), C)) ) ).
fof(redefinition_k8_cat_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k8_cat_4(A, B, C)=k4_cat_4(A, B, C)) ) ).
fof(dt_k9_cat_4, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) &  (m1_subset_1(D, u1_struct_0(A)) &  (m1_cat_1(E, A, D, B) & m1_cat_1(F, A, D, C)) ) ) ) )  => m1_cat_1(k9_cat_4(A, B, C, D, E, F), A, D, k2_cat_4(A, B, C))) ) ).
fof(dt_k10_cat_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_cat_1(k10_cat_4(A, B), A, k2_cat_4(A, k1_cat_4(A), B), B)) ) ).
fof(dt_k11_cat_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_cat_1(k11_cat_4(A, B), A, B, k2_cat_4(A, k1_cat_4(A), B))) ) ).
fof(dt_k12_cat_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_cat_1(k12_cat_4(A, B), A, k2_cat_4(A, B, k1_cat_4(A)), B)) ) ).
fof(dt_k13_cat_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_cat_1(k13_cat_4(A, B), A, B, k2_cat_4(A, B, k1_cat_4(A)))) ) ).
fof(dt_k14_cat_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_cat_1(k14_cat_4(A, B, C), A, k2_cat_4(A, B, C), k2_cat_4(A, C, B))) ) ).
fof(dt_k15_cat_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_cat_1(k15_cat_4(A, B), A, B, k2_cat_4(A, B, B))) ) ).
fof(dt_k16_cat_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, u1_struct_0(A))) ) )  => m1_cat_1(k16_cat_4(A, B, C, D), A, k2_cat_4(A, k2_cat_4(A, B, C), D), k2_cat_4(A, B, k2_cat_4(A, C, D)))) ) ).
fof(dt_k17_cat_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, u1_struct_0(A))) ) )  => m1_cat_1(k17_cat_4(A, B, C, D), A, k2_cat_4(A, B, k2_cat_4(A, C, D)), k2_cat_4(A, k2_cat_4(A, B, C), D))) ) ).
fof(dt_k18_cat_4, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_4(A) & l1_cat_4(A)) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) &  (m1_subset_1(D, u1_struct_0(A)) &  (m1_subset_1(E, u1_struct_0(A)) &  (m1_cat_1(F, A, B, C) & m1_cat_1(G, A, D, E)) ) ) ) ) )  => m1_cat_1(k18_cat_4(A, B, C, D, E, F, G), A, k2_cat_4(A, B, D), k2_cat_4(A, C, E))) ) ).
fof(abstractness_v5_cat_4, axiom,  (! [A] :  (l2_cat_4(A) =>  (v5_cat_4(A) => A=g2_cat_4(u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A), u5_cat_4(A), u6_cat_4(A), u7_cat_4(A), u8_cat_4(A))) ) ) ).
fof(dt_l2_cat_4, axiom,  (! [A] :  (l2_cat_4(A) => l1_cat_1(A)) ) ).
fof(existence_l2_cat_4, axiom,  (? [A] : l2_cat_4(A)) ).
fof(dt_g2_cat_4, axiom,  (! [A, B, C, D, E, F, G, H, I] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, B, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B))))  &  (m1_subset_1(F, A) &  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(A, A), A) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(H) &  (v1_funct_2(H, k2_zfmisc_1(A, A), B) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), B)))) )  &  (v1_funct_1(I) &  (v1_funct_2(I, k2_zfmisc_1(A, A), B) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), B)))) ) ) ) ) ) ) )  =>  (v5_cat_4(g2_cat_4(A, B, C, D, E, F, G, H, I)) & l2_cat_4(g2_cat_4(A, B, C, D, E, F, G, H, I))) ) ) ).
fof(free_g2_cat_4, axiom,  (! [A, B, C, D, E, F, G, H, I] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, B, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B))))  &  (m1_subset_1(F, A) &  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(A, A), A) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(H) &  (v1_funct_2(H, k2_zfmisc_1(A, A), B) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), B)))) )  &  (v1_funct_1(I) &  (v1_funct_2(I, k2_zfmisc_1(A, A), B) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), B)))) ) ) ) ) ) ) )  =>  (! [J, K, L, M, N, O, P, Q, R] :  (g2_cat_4(A, B, C, D, E, F, G, H, I)=g2_cat_4(J, K, L, M, N, O, P, Q, R) =>  (A=J &  (B=K &  (C=L &  (D=M &  (E=N &  (F=O &  (G=P &  (H=Q & I=R) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_u5_cat_4, axiom,  (! [A] :  (l2_cat_4(A) => m1_subset_1(u5_cat_4(A), u1_struct_0(A))) ) ).
fof(dt_u6_cat_4, axiom,  (! [A] :  (l2_cat_4(A) =>  (v1_funct_1(u6_cat_4(A)) &  (v1_funct_2(u6_cat_4(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(u6_cat_4(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(dt_u7_cat_4, axiom,  (! [A] :  (l2_cat_4(A) =>  (v1_funct_1(u7_cat_4(A)) &  (v1_funct_2(u7_cat_4(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u4_struct_0(A)) & m1_subset_1(u7_cat_4(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u4_struct_0(A))))) ) ) ) ).
fof(dt_u8_cat_4, axiom,  (! [A] :  (l2_cat_4(A) =>  (v1_funct_1(u8_cat_4(A)) &  (v1_funct_2(u8_cat_4(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u4_struct_0(A)) & m1_subset_1(u8_cat_4(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u4_struct_0(A))))) ) ) ) ).
fof(dt_k19_cat_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l2_cat_4(A)) )  => m1_subset_1(k19_cat_4(A), u1_struct_0(A))) ) ).
fof(dt_k20_cat_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l2_cat_4(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k20_cat_4(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k21_cat_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l2_cat_4(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k21_cat_4(A, B, C), u4_struct_0(A))) ) ).
fof(dt_k22_cat_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l2_cat_4(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k22_cat_4(A, B, C), u4_struct_0(A))) ) ).
fof(dt_k23_cat_4, axiom,  (! [A, B] :  (v5_cat_4(k23_cat_4(A, B)) & l2_cat_4(k23_cat_4(A, B))) ) ).
fof(dt_k24_cat_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_cat_1(k24_cat_4(A, B), A, k19_cat_4(A), B)) ) ).
fof(dt_k25_cat_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_cat_1(k25_cat_4(A, B, C), A, B, k20_cat_4(A, B, C))) ) ).
fof(redefinition_k25_cat_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k25_cat_4(A, B, C)=k21_cat_4(A, B, C)) ) ).
fof(dt_k26_cat_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_cat_1(k26_cat_4(A, B, C), A, C, k20_cat_4(A, B, C))) ) ).
fof(redefinition_k26_cat_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k26_cat_4(A, B, C)=k22_cat_4(A, B, C)) ) ).
fof(dt_k27_cat_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_cat_1(k27_cat_4(A, B, C), A, B, k20_cat_4(A, B, C))) ) ).
fof(redefinition_k27_cat_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k27_cat_4(A, B, C)=k21_cat_4(A, B, C)) ) ).
fof(dt_k28_cat_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_cat_1(k28_cat_4(A, B, C), A, C, k20_cat_4(A, B, C))) ) ).
fof(redefinition_k28_cat_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k28_cat_4(A, B, C)=k22_cat_4(A, B, C)) ) ).
fof(dt_k29_cat_4, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) &  (m1_subset_1(D, u1_struct_0(A)) &  (m1_cat_1(E, A, B, D) & m1_cat_1(F, A, C, D)) ) ) ) )  => m1_cat_1(k29_cat_4(A, B, C, D, E, F), A, k20_cat_4(A, B, C), D)) ) ).
fof(dt_k30_cat_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_cat_1(k30_cat_4(A, B), A, k20_cat_4(A, B, B), B)) ) ).
fof(dt_k31_cat_4, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v6_cat_4(A) & l2_cat_4(A)) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) &  (m1_subset_1(D, u1_struct_0(A)) &  (m1_subset_1(E, u1_struct_0(A)) &  (m1_cat_1(F, A, B, D) & m1_cat_1(G, A, C, E)) ) ) ) ) )  => m1_cat_1(k31_cat_4(A, B, C, D, E, F, G), A, k20_cat_4(A, B, C), k20_cat_4(A, D, E))) ) ).
fof(rc1_cat_5, axiom,  (? [A] :  (l1_cat_1(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v14_struct_0(A) &  (v1_cat_1(A) &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & v1_cat_5(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_cat_5, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v2_cat_5(A)) ) ).
fof(cc1_cat_5, axiom,  (! [A] :  (l1_cat_1(A) =>  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & v3_cat_5(A)) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & v1_cat_5(A)) ) ) ) ) ) ) ) ) ) ).
fof(rc3_cat_5, axiom,  (? [A] :  (l1_cat_1(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v14_struct_0(A) &  (v1_cat_1(A) &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & v3_cat_5(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(cc2_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_5(A) & l1_cat_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m3_cat_2(B, A) => v3_cat_5(B)) ) ) ) ).
fof(rc4_cat_5, axiom,  (? [A] :  (l1_cat_1(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v14_struct_0(A) &  (v1_cat_1(A) &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v1_cat_5(A) &  (v3_cat_5(A) & v4_cat_5(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_cat_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  ~ (v1_xboole_0(k9_cat_5(A, B))) ) ) ).
fof(fc2_cat_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  ~ (v1_xboole_0(k10_cat_5(A, B))) ) ) ).
fof(t1_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_cat_1(B)) )  =>  (g1_cat_1(u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A))=g1_cat_1(u1_struct_0(B), u4_struct_0(B), u1_graph_1(B), u2_graph_1(B), u1_cat_1(B)) =>  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) & v6_cat_1(B)) ) ) ) ) ) ) ) ) ).
fof(d1_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_cat_1(A)) )  =>  (v1_cat_5(A) <=>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (? [C] : B=k4_tarski(k1_domain_1(u1_struct_0(A), u1_struct_0(A), k3_graph_1(A, B), k4_graph_1(A, B)), C)) ) ) ) ) ) ).
fof(t2_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_cat_5(A) & l1_cat_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (k3_graph_1(A, B)=k13_mcart_1(B) &  (k4_graph_1(A, B)=k14_mcart_1(B) & B=k4_tarski(k1_domain_1(u1_struct_0(A), u1_struct_0(A), k3_graph_1(A, B), k4_graph_1(A, B)), k2_xtuple_0(B))) ) ) ) ) ) ).
fof(t3_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m3_cat_2(B, A) =>  (m3_cat_2(A, B) => g1_cat_1(u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A))=g1_cat_1(u1_struct_0(B), u4_struct_0(B), u1_graph_1(B), u2_graph_1(B), u1_cat_1(B))) ) ) ) ) ).
fof(t4_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m3_cat_2(B, A) =>  (! [C] :  (m3_cat_2(C, B) => m3_cat_2(C, A)) ) ) ) ) ) ).
fof(d2_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  ~ ( ( (? [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  (m3_cat_2(A, C) & m3_cat_2(B, C)) ) )  &  ( (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(B))) )  &  ~ ( (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v1_cat_1(C) &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) ) )  =>  (C=k3_cat_5(A, B) <=>  (u1_struct_0(C)=k3_xboole_0(u1_struct_0(A), u1_struct_0(B)) &  (u4_struct_0(C)=k3_xboole_0(u4_struct_0(A), u4_struct_0(B)) &  (u1_graph_1(C)=k2_partfun1(u4_struct_0(A), u1_struct_0(A), u1_graph_1(A), u4_struct_0(B)) &  (u2_graph_1(C)=k2_partfun1(u4_struct_0(A), u1_struct_0(A), u2_graph_1(A), u4_struct_0(B)) & u1_cat_1(C)=k1_realset1(u1_cat_1(A), u4_struct_0(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m3_cat_2(B, A) =>  (! [C] :  (m3_cat_2(C, A) =>  ( ~ (r2_subset_1(u1_struct_0(B), u1_struct_0(C)))  => k3_cat_5(B, C)=k3_cat_5(C, B)) ) ) ) ) ) ) ).
fof(t6_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m3_cat_2(B, A) =>  (! [C] :  (m3_cat_2(C, A) =>  ( ~ (r2_subset_1(u1_struct_0(B), u1_struct_0(C)))  =>  (m3_cat_2(k3_cat_5(B, C), B) & m3_cat_2(k3_cat_5(B, C), C)) ) ) ) ) ) ) ) ).
fof(d3_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  ( (v1_cat_1(D) & m3_cat_2(D, B))  =>  (D=k4_cat_5(A, B, C) <=>  (u1_struct_0(D)=k2_relset_1(u1_struct_0(B), k7_cat_1(A, B, C)) &  (r1_tarski(k2_relset_1(u4_struct_0(B), C), u4_struct_0(D)) &  (! [E] :  (m3_cat_2(E, B) =>  ( (u1_struct_0(E)=k2_relset_1(u1_struct_0(B), k7_cat_1(A, B, C)) & r1_tarski(k2_relset_1(u4_struct_0(B), C), u4_struct_0(E)))  => m3_cat_2(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m3_cat_2(C, B) =>  (! [D] :  (m2_cat_1(D, A, B) =>  (r1_tarski(k2_relset_1(u4_struct_0(B), D), u4_struct_0(C)) => m2_cat_1(D, A, C)) ) ) ) ) ) ) ) ) ).
fof(t8_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) => m2_cat_1(C, A, k4_cat_5(A, B, C))) ) ) ) ) ) ).
fof(t9_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m3_cat_2(C, B) =>  (! [D] :  (m2_cat_1(D, A, C) =>  (! [E] :  (m2_cat_1(E, A, B) =>  (r1_funct_2(u4_struct_0(A), u4_struct_0(C), u4_struct_0(A), u4_struct_0(B), D, E) => k4_cat_5(A, C, D)=k4_cat_5(A, B, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_cat_5, axiom,  (! [A] :  (v2_cat_5(A) <=>  (! [B] :  (r2_tarski(B, A) =>  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_cat_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v2_cat_5(A) <=>  (! [B] :  (m1_subset_1(B, A) =>  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (v3_cat_5(A) <=>  (v2_cat_5(u1_struct_0(A)) &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (B=C => k4_cat_1(A, B)=k4_tarski(k4_tarski(C, C), k10_cat_1(C))) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_cat_1(D) &  (v3_cat_1(D) &  (v4_cat_1(D) &  (v5_cat_1(D) &  (v6_cat_1(D) & l1_cat_1(D)) ) ) ) ) ) )  =>  ~ ( (C=k3_graph_1(A, B) &  (D=k4_graph_1(A, B) &  (! [E] :  (m2_cat_1(E, C, D) =>  ~ (B=k4_tarski(k4_tarski(C, D), E)) ) ) ) ) ) ) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_cat_1(D) &  (v3_cat_1(D) &  (v4_cat_1(D) &  (v5_cat_1(D) &  (v6_cat_1(D) & l1_cat_1(D)) ) ) ) ) ) )  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_cat_1(E) &  (v3_cat_1(E) &  (v4_cat_1(E) &  (v5_cat_1(E) &  (v6_cat_1(E) & l1_cat_1(E)) ) ) ) ) ) )  =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  ( ~ (v11_struct_0(F))  &  (v2_cat_1(F) &  (v3_cat_1(F) &  (v4_cat_1(F) &  (v5_cat_1(F) &  (v6_cat_1(F) & l1_cat_1(F)) ) ) ) ) ) )  =>  (! [G] :  (m2_cat_1(G, D, E) =>  (! [H] :  (m2_cat_1(H, E, F) =>  ( (B=k4_tarski(k4_tarski(D, E), G) & C=k4_tarski(k4_tarski(E, F), H))  => k1_cat_1(A, B, C)=k4_tarski(k4_tarski(D, F), k9_cat_1(D, E, F, G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  ( (g1_cat_1(u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A))=g1_cat_1(u1_struct_0(B), u4_struct_0(B), u1_graph_1(B), u2_graph_1(B), u1_cat_1(B)) & v3_cat_5(A))  => v3_cat_5(B)) ) ) ) ) ).
fof(t11_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  => v3_cat_5(k3_cat_1(A, k4_tarski(k4_tarski(A, A), k10_cat_1(A))))) ) ).
fof(t12_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_5(A) & l1_cat_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_5(A) & l1_cat_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (k3_graph_1(A, B)=k1_cat_5(A, B) & k4_graph_1(A, B)=k2_cat_5(A, B)) ) ) ) ) ).
fof(t14_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_5(A) & l1_cat_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) &  (v3_cat_5(B) & l1_cat_1(B)) ) ) ) ) ) ) )  =>  ( (u1_struct_0(A)=u1_struct_0(B) & u4_struct_0(A)=u4_struct_0(B))  => g1_cat_1(u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A))=g1_cat_1(u1_struct_0(B), u4_struct_0(B), u1_graph_1(B), u2_graph_1(B), u1_cat_1(B))) ) ) ) ) ).
fof(t15_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_5(A) & l1_cat_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) &  (v3_cat_5(B) & l1_cat_1(B)) ) ) ) ) ) ) )  =>  (r1_tarski(u4_struct_0(A), u4_struct_0(B)) => m3_cat_2(A, B)) ) ) ) ) ).
fof(d7_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  => k7_cat_5(A)=A) ) ).
fof(t16_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_5(A) & l1_cat_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k7_cat_5(B)=B) ) ) ) ).
fof(t17_cat_5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v2_cat_5(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  ~ ( ( (! [C] :  (m1_cat_5(C, A) =>  (! [D] :  (m1_cat_5(D, A) =>  (! [E] :  (m1_cat_5(E, A) =>  (! [F] :  (m2_cat_1(F, C, D) =>  (! [G] :  (m2_cat_1(G, D, E) =>  ( (r2_tarski(F, B) & r2_tarski(G, B))  => r2_tarski(k9_cat_1(C, D, E, F, G), B)) ) ) ) ) ) ) ) ) ) )  &  ( (! [C] :  (m1_cat_5(C, A) => r2_tarski(k10_cat_1(C), B)) )  &  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v1_cat_1(C) &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) &  (v3_cat_5(C) & l1_cat_1(C)) ) ) ) ) ) ) ) )  =>  ~ ( (u1_struct_0(C)=A &  (! [D] :  (m1_cat_5(D, A) =>  (! [E] :  (m1_cat_5(E, A) =>  (! [F] :  (m2_cat_1(F, D, E) =>  (m1_subset_1(k1_domain_1(k2_zfmisc_1(A, A), k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(D), u4_struct_0(E))), k1_domain_1(A, A, D, E), F), u4_struct_0(C)) <=> r2_tarski(F, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_cat_5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v2_cat_5(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v1_cat_1(C) &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) &  (v3_cat_5(C) & l1_cat_1(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v1_cat_1(D) &  (v2_cat_1(D) &  (v3_cat_1(D) &  (v4_cat_1(D) &  (v5_cat_1(D) &  (v6_cat_1(D) &  (v3_cat_5(D) & l1_cat_1(D)) ) ) ) ) ) ) ) )  =>  ( (u1_struct_0(C)=A &  ( (! [E] :  (m1_cat_5(E, A) =>  (! [F] :  (m1_cat_5(F, A) =>  (! [G] :  (m2_cat_1(G, E, F) =>  (m1_subset_1(k1_domain_1(k2_zfmisc_1(A, A), k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(E), u4_struct_0(F))), k1_domain_1(A, A, E, F), G), u4_struct_0(C)) <=> r2_tarski(G, B)) ) ) ) ) ) )  &  (u1_struct_0(D)=A &  (! [E] :  (m1_cat_5(E, A) =>  (! [F] :  (m1_cat_5(F, A) =>  (! [G] :  (m2_cat_1(G, E, F) =>  (m1_subset_1(k1_domain_1(k2_zfmisc_1(A, A), k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(E), u4_struct_0(F))), k1_domain_1(A, A, E, F), G), u4_struct_0(D)) <=> r2_tarski(G, B)) ) ) ) ) ) ) ) ) )  => C=D) ) ) ) ) ) ) ) ) ).
fof(d8_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_5(A) & l1_cat_1(A)) ) ) ) ) ) ) )  =>  (v4_cat_5(A) <=>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  ( (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A)))  =>  (! [D] :  (m2_cat_1(D, B, C) => m1_subset_1(k4_tarski(k4_tarski(B, C), D), u4_struct_0(A))) ) ) ) ) ) ) ) ) ) ).
fof(t19_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_5(A) &  (v4_cat_5(A) & l1_cat_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) &  (v3_cat_5(B) &  (v4_cat_5(B) & l1_cat_1(B)) ) ) ) ) ) ) ) )  =>  (u1_struct_0(A)=u1_struct_0(B) => g1_cat_1(u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A))=g1_cat_1(u1_struct_0(B), u4_struct_0(B), u1_graph_1(B), u2_graph_1(B), u1_cat_1(B))) ) ) ) ) ).
fof(t20_cat_5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v2_cat_5(A))  =>  (? [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_cat_1(B) &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) &  (v3_cat_5(B) &  (v4_cat_5(B) & l1_cat_1(B)) ) ) ) ) ) ) ) ) )  & u1_struct_0(B)=A) ) ) ) ).
fof(t21_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_5(A) & l1_cat_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) &  (v3_cat_5(B) &  (v4_cat_5(B) & l1_cat_1(B)) ) ) ) ) ) ) ) )  =>  (r1_tarski(u1_struct_0(A), u1_struct_0(B)) => m3_cat_2(A, B)) ) ) ) ) ).
fof(t22_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) &  (v3_cat_5(B) & l1_cat_1(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) &  (v3_cat_5(C) & l1_cat_1(C)) ) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, A, C) =>  (r1_funct_2(u4_struct_0(A), u4_struct_0(B), u4_struct_0(A), u4_struct_0(C), D, E) => k4_cat_5(A, B, D)=k4_cat_5(A, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k9_cat_5(A, B)=k8_relset_1(u4_struct_0(A), u1_struct_0(A), u2_graph_1(A), k6_domain_1(u1_struct_0(A), B))) ) ) ) ).
fof(d10_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k10_cat_5(A, B)=k8_relset_1(u4_struct_0(A), u1_struct_0(A), u1_graph_1(A), k6_domain_1(u1_struct_0(A), B))) ) ) ) ).
fof(t23_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (r2_tarski(C, k9_cat_5(A, B)) <=> k4_graph_1(A, C)=B) ) ) ) ) ) ) ).
fof(t24_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (r2_tarski(C, k10_cat_5(A, B)) <=> k3_graph_1(A, C)=B) ) ) ) ) ) ) ).
fof(t25_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_cat_1(A, B, C)=k9_subset_1(u4_struct_0(A), k10_cat_5(A, B), k9_cat_5(A, C))) ) ) ) ) ) ).
fof(t26_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (r2_tarski(B, k10_cat_5(A, k3_graph_1(A, B))) & r2_tarski(B, k9_cat_5(A, k4_graph_1(A, B)))) ) ) ) ) ).
fof(t27_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m2_subset_1(C, u4_struct_0(A), k9_cat_5(A, k3_graph_1(A, B))) => r2_tarski(k1_cat_1(A, C, B), k9_cat_5(A, k4_graph_1(A, B)))) ) ) ) ) ) ).
fof(t28_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m2_subset_1(C, u4_struct_0(A), k10_cat_5(A, k4_graph_1(A, B))) => r2_tarski(k1_cat_1(A, B, C), k10_cat_5(A, k3_graph_1(A, B)))) ) ) ) ) ) ).
fof(d11_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v1_cat_1(C) &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) &  (v1_cat_5(C) & l1_cat_1(C)) ) ) ) ) ) ) ) )  =>  (C=k11_cat_5(A, B) <=>  (u1_struct_0(C)=k9_cat_5(A, B) &  ( (! [D] :  (m2_subset_1(D, u4_struct_0(A), k9_cat_5(A, B)) =>  (! [E] :  (m2_subset_1(E, u4_struct_0(A), k9_cat_5(A, B)) =>  (! [F] :  (m1_subset_1(F, u4_struct_0(A)) =>  ( (k3_graph_1(A, E)=k4_graph_1(A, F) & D=k1_cat_1(A, F, E))  => m1_subset_1(k8_cat_2(k6_cat_2(A, A), A, k8_cat_2(A, A, D, E), F), u4_struct_0(C))) ) ) ) ) ) )  &  ( (! [D] :  (m1_subset_1(D, u4_struct_0(C)) =>  (? [E] :  (m2_subset_1(E, u4_struct_0(A), k9_cat_5(A, B)) &  (? [F] :  (m2_subset_1(F, u4_struct_0(A), k9_cat_5(A, B)) &  (? [G] :  (m1_subset_1(G, u4_struct_0(A)) &  (D=k8_cat_2(k6_cat_2(A, A), A, k8_cat_2(A, A, E, F), G) &  (k3_graph_1(A, F)=k4_graph_1(A, G) & E=k1_cat_1(A, G, F)) ) ) ) ) ) ) ) ) )  &  (! [D] :  (m1_subset_1(D, u4_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(C)) =>  (! [F] :  (m2_subset_1(F, u4_struct_0(A), k9_cat_5(A, B)) =>  (! [G] :  (m2_subset_1(G, u4_struct_0(A), k9_cat_5(A, B)) =>  (! [H] :  (m2_subset_1(H, u4_struct_0(A), k9_cat_5(A, B)) =>  (! [I] :  (m1_subset_1(I, u4_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u4_struct_0(A)) =>  ( (D=k8_cat_2(k6_cat_2(A, A), A, k8_cat_2(A, A, F, G), I) & E=k8_cat_2(k6_cat_2(A, A), A, k8_cat_2(A, A, G, H), J))  => k1_cat_1(C, D, E)=k8_cat_2(k6_cat_2(A, A), A, k8_cat_2(A, A, F, H), k1_cat_1(A, I, J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v1_cat_1(C) &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) &  (v1_cat_5(C) & l1_cat_1(C)) ) ) ) ) ) ) ) )  =>  (C=k12_cat_5(A, B) <=>  (u1_struct_0(C)=k10_cat_5(A, B) &  ( (! [D] :  (m2_subset_1(D, u4_struct_0(A), k10_cat_5(A, B)) =>  (! [E] :  (m2_subset_1(E, u4_struct_0(A), k10_cat_5(A, B)) =>  (! [F] :  (m1_subset_1(F, u4_struct_0(A)) =>  ( (k3_graph_1(A, F)=k4_graph_1(A, D) & k1_cat_1(A, D, F)=E)  => m1_subset_1(k8_cat_2(k6_cat_2(A, A), A, k8_cat_2(A, A, D, E), F), u4_struct_0(C))) ) ) ) ) ) )  &  ( (! [D] :  (m1_subset_1(D, u4_struct_0(C)) =>  (? [E] :  (m2_subset_1(E, u4_struct_0(A), k10_cat_5(A, B)) &  (? [F] :  (m2_subset_1(F, u4_struct_0(A), k10_cat_5(A, B)) &  (? [G] :  (m1_subset_1(G, u4_struct_0(A)) &  (D=k8_cat_2(k6_cat_2(A, A), A, k8_cat_2(A, A, E, F), G) &  (k3_graph_1(A, G)=k4_graph_1(A, E) & k1_cat_1(A, E, G)=F) ) ) ) ) ) ) ) ) )  &  (! [D] :  (m1_subset_1(D, u4_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(C)) =>  (! [F] :  (m2_subset_1(F, u4_struct_0(A), k10_cat_5(A, B)) =>  (! [G] :  (m2_subset_1(G, u4_struct_0(A), k10_cat_5(A, B)) =>  (! [H] :  (m2_subset_1(H, u4_struct_0(A), k10_cat_5(A, B)) =>  (! [I] :  (m1_subset_1(I, u4_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u4_struct_0(A)) =>  ( (D=k8_cat_2(k6_cat_2(A, A), A, k8_cat_2(A, A, F, G), I) & E=k8_cat_2(k6_cat_2(A, A), A, k8_cat_2(A, A, G, H), J))  => k1_cat_1(C, D, E)=k8_cat_2(k6_cat_2(A, A), A, k8_cat_2(A, A, F, H), k1_cat_1(A, I, J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(k11_cat_5(A, B))) =>  (C=k8_cat_2(k6_cat_2(A, A), A, k8_cat_2(A, A, k14_cat_5(A, B, C), k15_cat_5(A, B, C)), k13_cat_5(A, B, C)) &  (k3_graph_1(A, k15_cat_5(A, B, C))=k4_graph_1(A, k13_cat_5(A, B, C)) &  (k14_cat_5(A, B, C)=k1_cat_1(A, k13_cat_5(A, B, C), k15_cat_5(A, B, C)) &  (k3_graph_1(k11_cat_5(A, B), C)=k14_cat_5(A, B, C) & k4_graph_1(k11_cat_5(A, B), C)=k15_cat_5(A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t30_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_subset_1(C, u4_struct_0(A), k9_cat_5(A, B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k11_cat_5(A, B))) =>  (D=C => k4_cat_1(k11_cat_5(A, B), D)=k1_domain_1(u1_struct_0(k6_cat_2(k11_cat_5(A, B), k11_cat_5(A, B))), u4_struct_0(A), k7_cat_2(k11_cat_5(A, B), k11_cat_5(A, B), D, D), k4_cat_1(A, k3_graph_1(A, C)))) ) ) ) ) ) ) ) ) ).
fof(t31_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(k12_cat_5(A, B))) =>  (C=k8_cat_2(k6_cat_2(A, A), A, k8_cat_2(A, A, k17_cat_5(A, B, C), k18_cat_5(A, B, C)), k16_cat_5(A, B, C)) &  (k3_graph_1(A, k16_cat_5(A, B, C))=k4_graph_1(A, k17_cat_5(A, B, C)) &  (k1_cat_1(A, k17_cat_5(A, B, C), k16_cat_5(A, B, C))=k18_cat_5(A, B, C) &  (k3_graph_1(k12_cat_5(A, B), C)=k17_cat_5(A, B, C) & k4_graph_1(k12_cat_5(A, B), C)=k18_cat_5(A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t32_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_subset_1(C, u4_struct_0(A), k10_cat_5(A, B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k12_cat_5(A, B))) =>  (D=C => k4_cat_1(k12_cat_5(A, B), D)=k1_domain_1(u1_struct_0(k6_cat_2(k12_cat_5(A, B), k12_cat_5(A, B))), u4_struct_0(A), k7_cat_2(k12_cat_5(A, B), k12_cat_5(A, B), D, D), k4_cat_1(A, k4_graph_1(A, C)))) ) ) ) ) ) ) ) ) ).
fof(d13_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m2_cat_1(C, k11_cat_5(A, k3_graph_1(A, B)), k11_cat_5(A, k4_graph_1(A, B))) =>  (C=k19_cat_5(A, B) <=>  (! [D] :  (m1_subset_1(D, u4_struct_0(k11_cat_5(A, k3_graph_1(A, B)))) => k3_funct_2(u4_struct_0(k11_cat_5(A, k3_graph_1(A, B))), u4_struct_0(k11_cat_5(A, k4_graph_1(A, B))), C, D)=k8_cat_2(k6_cat_2(A, A), A, k8_cat_2(A, A, k1_cat_1(A, k14_cat_5(A, k3_graph_1(A, B), D), B), k1_cat_1(A, k15_cat_5(A, k3_graph_1(A, B), D), B)), k13_cat_5(A, k3_graph_1(A, B), D))) ) ) ) ) ) ) ) ) ).
fof(d14_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m2_cat_1(C, k12_cat_5(A, k4_graph_1(A, B)), k12_cat_5(A, k3_graph_1(A, B))) =>  (C=k20_cat_5(A, B) <=>  (! [D] :  (m1_subset_1(D, u4_struct_0(k12_cat_5(A, k4_graph_1(A, B)))) => k3_funct_2(u4_struct_0(k12_cat_5(A, k4_graph_1(A, B))), u4_struct_0(k12_cat_5(A, k3_graph_1(A, B))), C, D)=k8_cat_2(k6_cat_2(A, A), A, k8_cat_2(A, A, k1_cat_1(A, B, k17_cat_5(A, k4_graph_1(A, B), D)), k1_cat_1(A, B, k18_cat_5(A, k4_graph_1(A, B), D))), k16_cat_5(A, k4_graph_1(A, B), D))) ) ) ) ) ) ) ) ) ).
fof(t33_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (k3_graph_1(A, C)=k4_graph_1(A, B) => k19_cat_5(A, k1_cat_1(A, B, C))=k1_partfun1(u4_struct_0(k11_cat_5(A, k3_graph_1(A, B))), u4_struct_0(k11_cat_5(A, k4_graph_1(A, B))), u4_struct_0(k11_cat_5(A, k3_graph_1(A, C))), u4_struct_0(k11_cat_5(A, k4_graph_1(A, C))), k19_cat_5(A, B), k19_cat_5(A, C))) ) ) ) ) ) ) ).
fof(t34_cat_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (k3_graph_1(A, C)=k4_graph_1(A, B) => k20_cat_5(A, k1_cat_1(A, B, C))=k1_partfun1(u4_struct_0(k12_cat_5(A, k4_graph_1(A, C))), u4_struct_0(k12_cat_5(A, k3_graph_1(A, C))), u4_struct_0(k12_cat_5(A, k4_graph_1(A, B))), u4_struct_0(k12_cat_5(A, k3_graph_1(A, B))), k20_cat_5(A, C), k20_cat_5(A, B))) ) ) ) ) ) ) ).
fof(s1_cat_5, axiom,  ( ( (! [A] :  (m1_subset_1(A, f1_s1_cat_5) =>  (! [B] :  (m1_subset_1(B, f1_s1_cat_5) =>  (! [C] :  (m1_subset_1(C, f1_s1_cat_5) =>  (! [D] :  (m1_subset_1(D, f2_s1_cat_5) =>  (! [E] :  (m1_subset_1(E, f2_s1_cat_5) =>  ( (p1_s1_cat_5(A, B, D) & p1_s1_cat_5(B, C, E))  =>  (r2_tarski(f3_s1_cat_5(E, D), f2_s1_cat_5) & p1_s1_cat_5(A, C, f3_s1_cat_5(E, D))) ) ) ) ) ) ) ) ) ) ) )  &  ( (! [A] :  (m1_subset_1(A, f1_s1_cat_5) =>  (? [B] :  (m1_subset_1(B, f2_s1_cat_5) &  (p1_s1_cat_5(A, A, B) &  (! [C] :  (m1_subset_1(C, f1_s1_cat_5) =>  (! [D] :  (m1_subset_1(D, f2_s1_cat_5) =>  ( (p1_s1_cat_5(A, C, D) => f3_s1_cat_5(D, B)=D)  &  (p1_s1_cat_5(C, A, D) => f3_s1_cat_5(B, D)=D) ) ) ) ) ) ) ) ) ) )  &  (! [A] :  (m1_subset_1(A, f1_s1_cat_5) =>  (! [B] :  (m1_subset_1(B, f1_s1_cat_5) =>  (! [C] :  (m1_subset_1(C, f1_s1_cat_5) =>  (! [D] :  (m1_subset_1(D, f1_s1_cat_5) =>  (! [E] :  (m1_subset_1(E, f2_s1_cat_5) =>  (! [F] :  (m1_subset_1(F, f2_s1_cat_5) =>  (! [G] :  (m1_subset_1(G, f2_s1_cat_5) =>  ( (p1_s1_cat_5(A, B, E) &  (p1_s1_cat_5(B, C, F) & p1_s1_cat_5(C, D, G)) )  => f3_s1_cat_5(G, f3_s1_cat_5(F, E))=f3_s1_cat_5(f3_s1_cat_5(G, F), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (? [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_cat_1(A) &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v1_cat_5(A) & l1_cat_1(A)) ) ) ) ) ) ) ) )  &  (u1_struct_0(A)=f1_s1_cat_5 &  ( (! [B] :  (m1_subset_1(B, f1_s1_cat_5) =>  (! [C] :  (m1_subset_1(C, f1_s1_cat_5) =>  (! [D] :  (m1_subset_1(D, f2_s1_cat_5) =>  (p1_s1_cat_5(B, C, D) => m1_subset_1(k1_domain_1(k2_zfmisc_1(f1_s1_cat_5, f1_s1_cat_5), f2_s1_cat_5, k1_domain_1(f1_s1_cat_5, f1_s1_cat_5, B, C), D), u4_struct_0(A))) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (? [C] :  (m1_subset_1(C, f1_s1_cat_5) &  (? [D] :  (m1_subset_1(D, f1_s1_cat_5) &  (? [E] :  (m1_subset_1(E, f2_s1_cat_5) &  (B=k1_domain_1(k2_zfmisc_1(f1_s1_cat_5, f1_s1_cat_5), f2_s1_cat_5, k1_domain_1(f1_s1_cat_5, f1_s1_cat_5, C, D), E) & p1_s1_cat_5(C, D, E)) ) ) ) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, f1_s1_cat_5) =>  (! [E] :  (m1_subset_1(E, f1_s1_cat_5) =>  (! [F] :  (m1_subset_1(F, f1_s1_cat_5) =>  (! [G] :  (m1_subset_1(G, f2_s1_cat_5) =>  (! [H] :  (m1_subset_1(H, f2_s1_cat_5) =>  ( (B=k1_domain_1(k2_zfmisc_1(f1_s1_cat_5, f1_s1_cat_5), f2_s1_cat_5, k1_domain_1(f1_s1_cat_5, f1_s1_cat_5, D, E), G) & C=k1_domain_1(k2_zfmisc_1(f1_s1_cat_5, f1_s1_cat_5), f2_s1_cat_5, k1_domain_1(f1_s1_cat_5, f1_s1_cat_5, E, F), H))  => k1_cat_1(A, B, C)=k4_tarski(k1_domain_1(f1_s1_cat_5, f1_s1_cat_5, D, F), f3_s1_cat_5(H, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s2_cat_5, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s2_cat_5) =>  (? [B] :  (m1_subset_1(B, f2_s2_cat_5) &  (p1_s2_cat_5(A, A, B) &  (! [C] :  (m1_subset_1(C, f1_s2_cat_5) =>  (! [D] :  (m1_subset_1(D, f2_s2_cat_5) =>  ( (p1_s2_cat_5(A, C, D) => f3_s2_cat_5(D, B)=D)  &  (p1_s2_cat_5(C, A, D) => f3_s2_cat_5(B, D)=D) ) ) ) ) ) ) ) ) ) )  =>  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_cat_1(A) &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v1_cat_5(A) & l1_cat_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_cat_1(B) &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) &  (v1_cat_5(B) & l1_cat_1(B)) ) ) ) ) ) ) ) )  =>  ( (u1_struct_0(A)=f1_s2_cat_5 &  ( (! [C] :  (m1_subset_1(C, f1_s2_cat_5) =>  (! [D] :  (m1_subset_1(D, f1_s2_cat_5) =>  (! [E] :  (m1_subset_1(E, f2_s2_cat_5) =>  (p1_s2_cat_5(C, D, E) => m1_subset_1(k1_domain_1(k2_zfmisc_1(f1_s2_cat_5, f1_s2_cat_5), f2_s2_cat_5, k1_domain_1(f1_s2_cat_5, f1_s2_cat_5, C, D), E), u4_struct_0(A))) ) ) ) ) ) )  &  ( (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, f1_s2_cat_5) &  (? [E] :  (m1_subset_1(E, f1_s2_cat_5) &  (? [F] :  (m1_subset_1(F, f2_s2_cat_5) &  (C=k1_domain_1(k2_zfmisc_1(f1_s2_cat_5, f1_s2_cat_5), f2_s2_cat_5, k1_domain_1(f1_s2_cat_5, f1_s2_cat_5, D, E), F) & p1_s2_cat_5(D, E, F)) ) ) ) ) ) ) ) )  &  ( (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, f1_s2_cat_5) =>  (! [F] :  (m1_subset_1(F, f1_s2_cat_5) =>  (! [G] :  (m1_subset_1(G, f1_s2_cat_5) =>  (! [H] :  (m1_subset_1(H, f2_s2_cat_5) =>  (! [I] :  (m1_subset_1(I, f2_s2_cat_5) =>  ( (C=k1_domain_1(k2_zfmisc_1(f1_s2_cat_5, f1_s2_cat_5), f2_s2_cat_5, k1_domain_1(f1_s2_cat_5, f1_s2_cat_5, E, F), H) & D=k1_domain_1(k2_zfmisc_1(f1_s2_cat_5, f1_s2_cat_5), f2_s2_cat_5, k1_domain_1(f1_s2_cat_5, f1_s2_cat_5, F, G), I))  => k1_cat_1(A, C, D)=k4_tarski(k1_domain_1(f1_s2_cat_5, f1_s2_cat_5, E, G), f3_s2_cat_5(I, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (u1_struct_0(B)=f1_s2_cat_5 &  ( (! [C] :  (m1_subset_1(C, f1_s2_cat_5) =>  (! [D] :  (m1_subset_1(D, f1_s2_cat_5) =>  (! [E] :  (m1_subset_1(E, f2_s2_cat_5) =>  (p1_s2_cat_5(C, D, E) => m1_subset_1(k1_domain_1(k2_zfmisc_1(f1_s2_cat_5, f1_s2_cat_5), f2_s2_cat_5, k1_domain_1(f1_s2_cat_5, f1_s2_cat_5, C, D), E), u4_struct_0(B))) ) ) ) ) ) )  &  ( (! [C] :  (m1_subset_1(C, u4_struct_0(B)) =>  (? [D] :  (m1_subset_1(D, f1_s2_cat_5) &  (? [E] :  (m1_subset_1(E, f1_s2_cat_5) &  (? [F] :  (m1_subset_1(F, f2_s2_cat_5) &  (C=k1_domain_1(k2_zfmisc_1(f1_s2_cat_5, f1_s2_cat_5), f2_s2_cat_5, k1_domain_1(f1_s2_cat_5, f1_s2_cat_5, D, E), F) & p1_s2_cat_5(D, E, F)) ) ) ) ) ) ) ) )  &  (! [C] :  (m1_subset_1(C, u4_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, f1_s2_cat_5) =>  (! [F] :  (m1_subset_1(F, f1_s2_cat_5) =>  (! [G] :  (m1_subset_1(G, f1_s2_cat_5) =>  (! [H] :  (m1_subset_1(H, f2_s2_cat_5) =>  (! [I] :  (m1_subset_1(I, f2_s2_cat_5) =>  ( (C=k1_domain_1(k2_zfmisc_1(f1_s2_cat_5, f1_s2_cat_5), f2_s2_cat_5, k1_domain_1(f1_s2_cat_5, f1_s2_cat_5, E, F), H) & D=k1_domain_1(k2_zfmisc_1(f1_s2_cat_5, f1_s2_cat_5), f2_s2_cat_5, k1_domain_1(f1_s2_cat_5, f1_s2_cat_5, F, G), I))  => k1_cat_1(B, C, D)=k4_tarski(k1_domain_1(f1_s2_cat_5, f1_s2_cat_5, E, G), f3_s2_cat_5(I, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  => A=B) ) ) ) ) ) ).
fof(s3_cat_5, axiom,  ( ( (! [A] :  (m1_subset_1(A, u4_struct_0(f1_s3_cat_5)) =>  (m1_subset_1(f4_s3_cat_5(A), u4_struct_0(f2_s3_cat_5)) &  (! [B] :  (m1_subset_1(B, u4_struct_0(f2_s3_cat_5)) =>  (B=f4_s3_cat_5(A) =>  (k3_graph_1(f2_s3_cat_5, B)=f3_s3_cat_5(k3_graph_1(f1_s3_cat_5, A)) & k4_graph_1(f2_s3_cat_5, B)=f3_s3_cat_5(k4_graph_1(f1_s3_cat_5, A))) ) ) ) ) ) )  &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s3_cat_5)) => f4_s3_cat_5(k4_cat_1(f1_s3_cat_5, A))=k4_cat_1(f2_s3_cat_5, f3_s3_cat_5(A))) )  &  (! [A] :  (m1_subset_1(A, u4_struct_0(f1_s3_cat_5)) =>  (! [B] :  (m1_subset_1(B, u4_struct_0(f1_s3_cat_5)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(f2_s3_cat_5)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(f2_s3_cat_5)) =>  ( (C=f4_s3_cat_5(A) &  (D=f4_s3_cat_5(B) & k3_graph_1(f1_s3_cat_5, B)=k4_graph_1(f1_s3_cat_5, A)) )  => f4_s3_cat_5(k1_cat_1(f1_s3_cat_5, A, B))=k1_cat_1(f2_s3_cat_5, C, D)) ) ) ) ) ) ) ) ) ) )  =>  (? [A] :  (m2_cat_1(A, f1_s3_cat_5, f2_s3_cat_5) &  (! [B] :  (m1_subset_1(B, u4_struct_0(f1_s3_cat_5)) => k3_funct_2(u4_struct_0(f1_s3_cat_5), u4_struct_0(f2_s3_cat_5), A, B)=f4_s3_cat_5(B)) ) ) ) ) ).
fof(dt_k1_cat_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_cat_5(A) & l1_cat_1(A)) ) )  & m1_subset_1(B, u4_struct_0(A)))  => m1_subset_1(k1_cat_5(A, B), u1_struct_0(A))) ) ).
fof(redefinition_k1_cat_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_cat_5(A) & l1_cat_1(A)) ) )  & m1_subset_1(B, u4_struct_0(A)))  => k1_cat_5(A, B)=k13_mcart_1(B)) ) ).
fof(dt_k2_cat_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_cat_5(A) & l1_cat_1(A)) ) )  & m1_subset_1(B, u4_struct_0(A)))  => m1_subset_1(k2_cat_5(A, B), u1_struct_0(A))) ) ).
fof(redefinition_k2_cat_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_cat_5(A) & l1_cat_1(A)) ) )  & m1_subset_1(B, u4_struct_0(A)))  => k2_cat_5(A, B)=k14_mcart_1(B)) ) ).
fof(dt_f1_s1_cat_5, axiom,  ~ (v1_xboole_0(f1_s1_cat_5)) ).
fof(dt_f2_s1_cat_5, axiom,  ~ (v1_xboole_0(f2_s1_cat_5)) ).
fof(dt_f1_s2_cat_5, axiom,  ~ (v1_xboole_0(f1_s2_cat_5)) ).
fof(dt_f2_s2_cat_5, axiom,  ~ (v1_xboole_0(f2_s2_cat_5)) ).
fof(dt_f1_s3_cat_5, axiom,  ( ~ (v2_struct_0(f1_s3_cat_5))  &  ( ~ (v11_struct_0(f1_s3_cat_5))  &  (v2_cat_1(f1_s3_cat_5) &  (v3_cat_1(f1_s3_cat_5) &  (v4_cat_1(f1_s3_cat_5) &  (v5_cat_1(f1_s3_cat_5) &  (v6_cat_1(f1_s3_cat_5) & l1_cat_1(f1_s3_cat_5)) ) ) ) ) ) ) ).
fof(dt_f2_s3_cat_5, axiom,  ( ~ (v2_struct_0(f2_s3_cat_5))  &  ( ~ (v11_struct_0(f2_s3_cat_5))  &  (v2_cat_1(f2_s3_cat_5) &  (v3_cat_1(f2_s3_cat_5) &  (v4_cat_1(f2_s3_cat_5) &  (v5_cat_1(f2_s3_cat_5) &  (v6_cat_1(f2_s3_cat_5) & l1_cat_1(f2_s3_cat_5)) ) ) ) ) ) ) ).
fof(dt_f3_s3_cat_5, axiom,  (! [A] : m1_subset_1(f3_s3_cat_5(A), u1_struct_0(f2_s3_cat_5))) ).
fof(dt_k3_cat_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k3_cat_5(A, B)))  &  ( ~ (v11_struct_0(k3_cat_5(A, B)))  &  (v1_cat_1(k3_cat_5(A, B)) &  (v2_cat_1(k3_cat_5(A, B)) &  (v3_cat_1(k3_cat_5(A, B)) &  (v4_cat_1(k3_cat_5(A, B)) &  (v5_cat_1(k3_cat_5(A, B)) &  (v6_cat_1(k3_cat_5(A, B)) & l1_cat_1(k3_cat_5(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(dt_k4_cat_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  & m2_cat_1(C, A, B)) )  =>  (v1_cat_1(k4_cat_5(A, B, C)) & m3_cat_2(k4_cat_5(A, B, C), B)) ) ) ).
fof(dt_m1_cat_5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v2_cat_5(A))  =>  (! [B] :  (m1_cat_5(B, A) =>  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(existence_m1_cat_5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v2_cat_5(A))  =>  (? [B] : m1_cat_5(B, A)) ) ) ).
fof(redefinition_m1_cat_5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v2_cat_5(A))  =>  (! [B] :  (m1_cat_5(B, A) <=> m1_subset_1(B, A)) ) ) ) ).
fof(dt_k5_cat_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_5(A) & l1_cat_1(A)) ) ) ) ) ) ) )  & m1_subset_1(B, u4_struct_0(A)))  =>  ( ~ (v2_struct_0(k5_cat_5(A, B)))  &  ( ~ (v11_struct_0(k5_cat_5(A, B)))  &  (v2_cat_1(k5_cat_5(A, B)) &  (v3_cat_1(k5_cat_5(A, B)) &  (v4_cat_1(k5_cat_5(A, B)) &  (v5_cat_1(k5_cat_5(A, B)) &  (v6_cat_1(k5_cat_5(A, B)) & l1_cat_1(k5_cat_5(A, B))) ) ) ) ) ) ) ) ) ).
fof(redefinition_k5_cat_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_5(A) & l1_cat_1(A)) ) ) ) ) ) ) )  & m1_subset_1(B, u4_struct_0(A)))  => k5_cat_5(A, B)=k13_mcart_1(B)) ) ).
fof(dt_k6_cat_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_5(A) & l1_cat_1(A)) ) ) ) ) ) ) )  & m1_subset_1(B, u4_struct_0(A)))  =>  ( ~ (v2_struct_0(k6_cat_5(A, B)))  &  ( ~ (v11_struct_0(k6_cat_5(A, B)))  &  (v2_cat_1(k6_cat_5(A, B)) &  (v3_cat_1(k6_cat_5(A, B)) &  (v4_cat_1(k6_cat_5(A, B)) &  (v5_cat_1(k6_cat_5(A, B)) &  (v6_cat_1(k6_cat_5(A, B)) & l1_cat_1(k6_cat_5(A, B))) ) ) ) ) ) ) ) ) ).
fof(redefinition_k6_cat_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_5(A) & l1_cat_1(A)) ) ) ) ) ) ) )  & m1_subset_1(B, u4_struct_0(A)))  => k6_cat_5(A, B)=k14_mcart_1(B)) ) ).
fof(dt_k7_cat_5, axiom,  (! [A] :  ( ~ (v2_struct_0(k7_cat_5(A)))  &  ( ~ (v11_struct_0(k7_cat_5(A)))  &  (v2_cat_1(k7_cat_5(A)) &  (v3_cat_1(k7_cat_5(A)) &  (v4_cat_1(k7_cat_5(A)) &  (v5_cat_1(k7_cat_5(A)) &  (v6_cat_1(k7_cat_5(A)) & l1_cat_1(k7_cat_5(A))) ) ) ) ) ) ) ) ).
fof(dt_k8_cat_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_5(A) & l1_cat_1(A)) ) ) ) ) ) ) )  & m1_subset_1(B, u4_struct_0(A)))  => m2_cat_1(k8_cat_5(A, B), k7_cat_5(k3_graph_1(A, B)), k7_cat_5(k4_graph_1(A, B)))) ) ).
fof(redefinition_k8_cat_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_5(A) & l1_cat_1(A)) ) ) ) ) ) ) )  & m1_subset_1(B, u4_struct_0(A)))  => k8_cat_5(A, B)=k2_xtuple_0(B)) ) ).
fof(dt_k9_cat_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k9_cat_5(A, B), k1_zfmisc_1(u4_struct_0(A)))) ) ).
fof(dt_k10_cat_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k10_cat_5(A, B), k1_zfmisc_1(u4_struct_0(A)))) ) ).
fof(dt_k11_cat_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  ( ~ (v2_struct_0(k11_cat_5(A, B)))  &  ( ~ (v11_struct_0(k11_cat_5(A, B)))  &  (v1_cat_1(k11_cat_5(A, B)) &  (v2_cat_1(k11_cat_5(A, B)) &  (v3_cat_1(k11_cat_5(A, B)) &  (v4_cat_1(k11_cat_5(A, B)) &  (v5_cat_1(k11_cat_5(A, B)) &  (v6_cat_1(k11_cat_5(A, B)) &  (v1_cat_5(k11_cat_5(A, B)) & l1_cat_1(k11_cat_5(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k12_cat_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  ( ~ (v2_struct_0(k12_cat_5(A, B)))  &  ( ~ (v11_struct_0(k12_cat_5(A, B)))  &  (v1_cat_1(k12_cat_5(A, B)) &  (v2_cat_1(k12_cat_5(A, B)) &  (v3_cat_1(k12_cat_5(A, B)) &  (v4_cat_1(k12_cat_5(A, B)) &  (v5_cat_1(k12_cat_5(A, B)) &  (v6_cat_1(k12_cat_5(A, B)) &  (v1_cat_5(k12_cat_5(A, B)) & l1_cat_1(k12_cat_5(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k13_cat_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u4_struct_0(k11_cat_5(A, B)))) )  => m1_subset_1(k13_cat_5(A, B, C), u4_struct_0(A))) ) ).
fof(redefinition_k13_cat_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u4_struct_0(k11_cat_5(A, B)))) )  => k13_cat_5(A, B, C)=k2_xtuple_0(C)) ) ).
fof(dt_k14_cat_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u4_struct_0(k11_cat_5(A, B)))) )  => m2_subset_1(k14_cat_5(A, B, C), u4_struct_0(A), k9_cat_5(A, B))) ) ).
fof(redefinition_k14_cat_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u4_struct_0(k11_cat_5(A, B)))) )  => k14_cat_5(A, B, C)=k13_mcart_1(C)) ) ).
fof(dt_k15_cat_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u4_struct_0(k11_cat_5(A, B)))) )  => m2_subset_1(k15_cat_5(A, B, C), u4_struct_0(A), k9_cat_5(A, B))) ) ).
fof(redefinition_k15_cat_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u4_struct_0(k11_cat_5(A, B)))) )  => k15_cat_5(A, B, C)=k14_mcart_1(C)) ) ).
fof(dt_k16_cat_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u4_struct_0(k12_cat_5(A, B)))) )  => m1_subset_1(k16_cat_5(A, B, C), u4_struct_0(A))) ) ).
fof(redefinition_k16_cat_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u4_struct_0(k12_cat_5(A, B)))) )  => k16_cat_5(A, B, C)=k2_xtuple_0(C)) ) ).
fof(dt_k17_cat_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u4_struct_0(k12_cat_5(A, B)))) )  => m2_subset_1(k17_cat_5(A, B, C), u4_struct_0(A), k10_cat_5(A, B))) ) ).
fof(redefinition_k17_cat_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u4_struct_0(k12_cat_5(A, B)))) )  => k17_cat_5(A, B, C)=k13_mcart_1(C)) ) ).
fof(dt_k18_cat_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u4_struct_0(k12_cat_5(A, B)))) )  => m2_subset_1(k18_cat_5(A, B, C), u4_struct_0(A), k10_cat_5(A, B))) ) ).
fof(redefinition_k18_cat_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u4_struct_0(k12_cat_5(A, B)))) )  => k18_cat_5(A, B, C)=k14_mcart_1(C)) ) ).
fof(dt_k19_cat_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  & m1_subset_1(B, u4_struct_0(A)))  => m2_cat_1(k19_cat_5(A, B), k11_cat_5(A, k3_graph_1(A, B)), k11_cat_5(A, k4_graph_1(A, B)))) ) ).
fof(dt_k20_cat_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  & m1_subset_1(B, u4_struct_0(A)))  => m2_cat_1(k20_cat_5(A, B), k12_cat_5(A, k4_graph_1(A, B)), k12_cat_5(A, k3_graph_1(A, B)))) ) ).
fof(rc1_cat_6, axiom,  (? [A] :  (l1_cat_6(A) & v1_cat_6(A)) ) ).
fof(rc2_cat_6, axiom,  (? [A] :  (l1_cat_6(A) &  (v4_cat_6(A) &  ( ~ (v5_cat_6(A))  &  (v8_cat_6(A) & v9_cat_6(A)) ) ) ) ) ).
fof(rc3_cat_6, axiom,  (? [A] :  (l1_cat_6(A) &  ( ~ (v4_cat_6(A))  &  (v5_cat_6(A) &  (v8_cat_6(A) & v9_cat_6(A)) ) ) ) ) ).
fof(rc4_cat_6, axiom,  (? [A] :  (l1_cat_6(A) &  ( ~ (v6_cat_6(A))  &  (v7_cat_6(A) &  (v8_cat_6(A) & v10_cat_6(A)) ) ) ) ) ).
fof(rc5_cat_6, axiom,  (? [A] :  (l1_cat_6(A) &  (v6_cat_6(A) &  ( ~ (v7_cat_6(A))  &  (v8_cat_6(A) & v10_cat_6(A)) ) ) ) ) ).
fof(rc6_cat_6, axiom,  (? [A] :  (l1_cat_6(A) &  ( ~ (v8_cat_6(A))  &  (v9_cat_6(A) & v10_cat_6(A)) ) ) ) ).
fof(rc7_cat_6, axiom,  (? [A] :  (l1_cat_6(A) & v2_struct_0(A)) ) ).
fof(cc1_cat_6, axiom,  (! [A] :  (l1_cat_6(A) =>  (v2_struct_0(A) =>  (v4_cat_6(A) &  (v5_cat_6(A) &  (v6_cat_6(A) &  (v7_cat_6(A) & v8_cat_6(A)) ) ) ) ) ) ) ).
fof(rc8_cat_6, axiom,  (? [A] :  (l1_cat_6(A) &  (v1_cat_6(A) &  (v4_cat_6(A) &  (v5_cat_6(A) &  (v6_cat_6(A) &  (v7_cat_6(A) & v8_cat_6(A)) ) ) ) ) ) ) ).
fof(rc9_cat_6, axiom,  (? [A] :  (l1_cat_6(A) &  (v1_cat_6(A) &  (v8_cat_6(A) &  (v9_cat_6(A) & v10_cat_6(A)) ) ) ) ) ).
fof(rc10_cat_6, axiom,  (? [A] :  (l1_cat_6(A) &  (v2_struct_0(A) &  (v1_cat_6(A) &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & v12_cat_6(A)) ) ) ) ) ) ) ).
fof(cc2_cat_6, axiom,  (! [A] :  (l1_cat_6(A) =>  (v12_cat_6(A) =>  (v8_cat_6(A) & v9_cat_6(A)) ) ) ) ).
fof(rc11_cat_6, axiom,  (? [A] :  (l1_cat_6(A) &  (v1_cat_6(A) &  (v8_cat_6(A) &  (v9_cat_6(A) & v10_cat_6(A)) ) ) ) ) ).
fof(rc12_cat_6, axiom,  (? [A] :  (l1_cat_6(A) &  (v2_struct_0(A) &  (v1_cat_6(A) &  (v8_cat_6(A) &  (v9_cat_6(A) & v10_cat_6(A)) ) ) ) ) ) ).
fof(rc13_cat_6, axiom,  (? [A] :  (l1_cat_6(A) &  ( ~ (v2_struct_0(A))  &  (v1_cat_6(A) &  (v8_cat_6(A) &  (v9_cat_6(A) & v10_cat_6(A)) ) ) ) ) ) ).
fof(fc1_cat_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  ~ (v1_xboole_0(k5_cat_6(A))) ) ) ).
fof(rc14_cat_6, axiom,  (! [A, B] :  ( ( (v10_cat_6(A) & l1_cat_6(A))  &  (v10_cat_6(B) & l1_cat_6(B)) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v13_cat_6(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(rc15_cat_6, axiom,  (! [A, B] :  ( ( (v2_struct_0(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  &  (v10_cat_6(B) & l1_cat_6(B)) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) &  (v1_relat_1(C) &  (v2_relat_1(C) &  (v3_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_xboole_0(C) &  (v1_zfmisc_1(C) &  ( ~ (v1_subset_1(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))  &  (v1_ordinal1(C) &  (v2_ordinal1(C) &  (v3_ordinal1(C) &  (v5_ordinal1(C) &  (v6_ordinal1(C) &  (v7_ordinal1(C) &  (v8_ordinal1(C) &  (v9_ordinal1(C) &  ( ~ (v10_ordinal1(C))  &  (v1_funct_1(C) &  (v2_funct_1(C) &  (v3_funct_1(C) &  (v4_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_setfam_1(C) &  (v1_finset_1(C) &  (v2_finset_1(C) &  (v5_finset_1(C) &  (v1_card_1(C) &  (v3_card_1(C, k5_ordinal1) &  (v1_finseq_1(C) &  (v2_finseq_1(C) &  (v3_finseq_1(C) &  (v1_xcmplx_0(C) &  (v1_xxreal_0(C) &  ( ~ (v2_xxreal_0(C))  &  ( ~ (v3_xxreal_0(C))  &  (v1_xreal_0(C) &  (v1_valued_0(C) &  (v2_valued_0(C) &  (v3_valued_0(C) &  (v4_valued_0(C) &  (v5_valued_0(C) &  (v6_valued_0(C) &  (v7_valued_0(C) &  (v8_valued_0(C) &  (v13_cat_6(C, A, B) &  (v14_cat_6(C, A, B) & v15_cat_6(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc16_cat_6, axiom,  (! [A, B] :  ( ( (v10_cat_6(A) & l1_cat_6(A))  &  ( ~ (v2_struct_0(B))  &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_cat_6(C, A, B) &  (v14_cat_6(C, A, B) & v15_cat_6(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc17_cat_6, axiom,  (! [A, B] :  ( ( (v2_struct_0(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  &  (v10_cat_6(B) & l1_cat_6(B)) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) &  (v1_relat_1(C) &  (v2_relat_1(C) &  (v3_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_xboole_0(C) &  (v1_zfmisc_1(C) &  ( ~ (v1_subset_1(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))  &  (v1_ordinal1(C) &  (v2_ordinal1(C) &  (v3_ordinal1(C) &  (v5_ordinal1(C) &  (v6_ordinal1(C) &  (v7_ordinal1(C) &  (v8_ordinal1(C) &  (v9_ordinal1(C) &  ( ~ (v10_ordinal1(C))  &  (v1_funct_1(C) &  (v2_funct_1(C) &  (v3_funct_1(C) &  (v4_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_setfam_1(C) &  (v1_finset_1(C) &  (v2_finset_1(C) &  (v5_finset_1(C) &  (v1_card_1(C) &  (v3_card_1(C, k5_ordinal1) &  (v1_finseq_1(C) &  (v2_finseq_1(C) &  (v3_finseq_1(C) &  (v1_xcmplx_0(C) &  (v1_xxreal_0(C) &  ( ~ (v2_xxreal_0(C))  &  ( ~ (v3_xxreal_0(C))  &  (v1_xreal_0(C) &  (v1_valued_0(C) &  (v2_valued_0(C) &  (v3_valued_0(C) &  (v4_valued_0(C) &  (v5_valued_0(C) &  (v6_valued_0(C) &  (v7_valued_0(C) &  (v8_valued_0(C) &  (v16_cat_6(C, A, B) & v17_cat_6(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc18_cat_6, axiom,  (! [A, B] :  ( ( (v10_cat_6(A) & l1_cat_6(A))  &  ( ~ (v2_struct_0(B))  &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v16_cat_6(C, A, B) & v17_cat_6(C, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc2_cat_6, axiom,  (! [A] :  ( (v10_cat_6(A) & l1_cat_6(A))  =>  (v1_funct_1(k3_struct_0(A)) &  (v1_funct_2(k3_struct_0(A), u1_struct_0(A), u1_struct_0(A)) & v16_cat_6(k3_struct_0(A), A, A)) ) ) ) ).
fof(fc3_cat_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k18_cat_6(A)))  &  (v1_cat_6(k18_cat_6(A)) &  (v8_cat_6(k18_cat_6(A)) &  (v9_cat_6(k18_cat_6(A)) & v10_cat_6(k18_cat_6(A))) ) ) ) ) ) ).
fof(d1_cat_6, axiom,  (! [A] :  (l1_cat_6(A) => k1_cat_6(A)=u1_struct_0(A)) ) ).
fof(d2_cat_6, axiom,  (! [A] :  (l1_cat_6(A) =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  (r1_cat_6(A, B, C) <=> r2_hidden(k4_tarski(B, C), k1_relset_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_cat_6(A)))) ) ) ) ) ) ) ).
fof(d3_cat_6, axiom,  (! [A] :  (l1_cat_6(A) =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  (r1_cat_6(A, B, C) => k2_cat_6(A, B, C)=k1_binop_1(u1_cat_6(A), B, C)) ) ) ) ) ) ) ).
fof(d4_cat_6, axiom,  (! [A] :  (l1_cat_6(A) =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (v2_cat_6(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  (r1_cat_6(A, B, C) => k2_cat_6(A, B, C)=C) ) ) ) ) ) ) ) ).
fof(d5_cat_6, axiom,  (! [A] :  (l1_cat_6(A) =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (v3_cat_6(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  (r1_cat_6(A, C, B) => k2_cat_6(A, C, B)=C) ) ) ) ) ) ) ) ).
fof(d6_cat_6, axiom,  (! [A] :  (l1_cat_6(A) =>  (v4_cat_6(A) <=>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  ~ ( (r2_tarski(B, u1_struct_0(A)) &  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  ~ ( (r1_cat_6(A, C, B) & v2_cat_6(C, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_cat_6, axiom,  (! [A] :  (l1_cat_6(A) =>  (v5_cat_6(A) <=>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  ~ ( (r2_tarski(B, u1_struct_0(A)) &  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  ~ ( (r1_cat_6(A, B, C) & v3_cat_6(C, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_cat_6, axiom,  (! [A] :  (l1_cat_6(A) =>  (v6_cat_6(A) <=>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k1_cat_6(A)) =>  (r1_cat_6(A, C, D) =>  (r1_cat_6(A, k2_cat_6(A, C, D), B) <=> r1_cat_6(A, D, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_cat_6, axiom,  (! [A] :  (l1_cat_6(A) =>  (v7_cat_6(A) <=>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k1_cat_6(A)) =>  (r1_cat_6(A, C, D) =>  (r1_cat_6(A, B, k2_cat_6(A, C, D)) <=> r1_cat_6(A, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_cat_6, axiom,  (! [A] :  (l1_cat_6(A) =>  (v8_cat_6(A) <=>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k1_cat_6(A)) =>  ( (r1_cat_6(A, B, C) &  (r1_cat_6(A, C, D) &  (r1_cat_6(A, k2_cat_6(A, B, C), D) & r1_cat_6(A, B, k2_cat_6(A, C, D))) ) )  => k2_cat_6(A, B, k2_cat_6(A, C, D))=k2_cat_6(A, k2_cat_6(A, B, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(d11_cat_6, axiom,  (! [A] :  (l1_cat_6(A) =>  (v9_cat_6(A) <=>  (v6_cat_6(A) & v7_cat_6(A)) ) ) ) ).
fof(d12_cat_6, axiom,  (! [A] :  (l1_cat_6(A) =>  (v10_cat_6(A) <=>  (v4_cat_6(A) & v5_cat_6(A)) ) ) ) ).
fof(d13_cat_6, axiom,  (! [A] :  (l1_cat_6(A) => k3_cat_6(A)=g1_cat_6(u1_struct_0(A), k3_funct_4(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u1_cat_6(A)))) ) ).
fof(t1_cat_6, axiom,  (! [A] :  (l1_cat_6(A) =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  ~ ( (v2_struct_0(A) & r1_cat_6(A, B, C)) ) ) ) ) ) ) ) ).
fof(t2_cat_6, axiom,  (! [A] :  (l1_cat_6(A) =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k1_cat_6(k3_cat_6(A))) =>  (! [E] :  (m1_subset_1(E, k1_cat_6(k3_cat_6(A))) =>  ( (B=D & C=E)  =>  (r1_cat_6(A, B, C) <=> r1_cat_6(k3_cat_6(A), E, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_cat_6, axiom,  (! [A] :  (l1_cat_6(A) =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k1_cat_6(k3_cat_6(A))) =>  (! [E] :  (m1_subset_1(E, k1_cat_6(k3_cat_6(A))) =>  ( (B=D &  (C=E & r1_cat_6(A, B, C)) )  => k2_cat_6(A, B, C)=k2_cat_6(k3_cat_6(A), E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_cat_6, axiom,  (! [A] :  (l1_cat_6(A) =>  (v6_cat_6(A) <=> v7_cat_6(k3_cat_6(A))) ) ) ).
fof(t5_cat_6, axiom,  (! [A] :  (l1_cat_6(A) =>  (v7_cat_6(A) <=> v6_cat_6(k3_cat_6(A))) ) ) ).
fof(t6_cat_6, axiom,  (! [A] :  (l1_cat_6(A) =>  (v4_cat_6(A) <=> v5_cat_6(k3_cat_6(A))) ) ) ).
fof(t7_cat_6, axiom,  (! [A] :  (l1_cat_6(A) =>  (v5_cat_6(A) <=> v4_cat_6(k3_cat_6(A))) ) ) ).
fof(t8_cat_6, axiom,  (! [A] :  (l1_cat_6(A) =>  (v8_cat_6(A) <=> v8_cat_6(k3_cat_6(A))) ) ) ).
fof(d14_cat_6, axiom,  (! [A] :  (l1_cat_6(A) =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (v11_cat_6(B, A) <=>  (v2_cat_6(B, A) & v3_cat_6(B, A)) ) ) ) ) ) ).
fof(t9_cat_6, axiom,  (! [A] :  (l1_cat_6(A) =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (v10_cat_6(A) =>  (v2_cat_6(B, A) <=> v3_cat_6(B, A)) ) ) ) ) ) ).
fof(t10_cat_6, axiom,  (! [A] :  (l1_cat_6(A) =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (v2_struct_0(A) => v11_cat_6(B, A)) ) ) ) ) ).
fof(t11_cat_6, axiom,  (! [A] :  (l1_cat_6(A) =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k1_cat_6(g1_cat_6(u1_struct_0(A), u1_cat_6(A)))) =>  (! [E] :  (m1_subset_1(E, k1_cat_6(g1_cat_6(u1_struct_0(A), u1_cat_6(A)))) =>  ( (B=D &  (C=E & r1_cat_6(A, B, C)) )  => k2_cat_6(A, B, C)=k2_cat_6(g1_cat_6(u1_struct_0(A), u1_cat_6(A)), D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_cat_6, axiom,  (! [A] :  (l1_cat_6(A) =>  (v6_cat_6(A) <=> v6_cat_6(g1_cat_6(u1_struct_0(A), u1_cat_6(A)))) ) ) ).
fof(t13_cat_6, axiom,  (! [A] :  (l1_cat_6(A) =>  (v7_cat_6(A) <=> v7_cat_6(g1_cat_6(u1_struct_0(A), u1_cat_6(A)))) ) ) ).
fof(t14_cat_6, axiom,  (! [A] :  (l1_cat_6(A) =>  (v9_cat_6(A) <=> v9_cat_6(g1_cat_6(u1_struct_0(A), u1_cat_6(A)))) ) ) ).
fof(t15_cat_6, axiom,  (! [A] :  (l1_cat_6(A) =>  (v8_cat_6(A) <=> v8_cat_6(g1_cat_6(u1_struct_0(A), u1_cat_6(A)))) ) ) ).
fof(t16_cat_6, axiom,  (! [A] :  (l1_cat_6(A) =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k1_cat_6(g1_cat_6(u1_struct_0(A), u1_cat_6(A)))) =>  (B=C =>  (v2_cat_6(B, A) <=> v2_cat_6(C, g1_cat_6(u1_struct_0(A), u1_cat_6(A)))) ) ) ) ) ) ) ) ).
fof(t17_cat_6, axiom,  (! [A] :  (l1_cat_6(A) =>  (v4_cat_6(A) <=> v4_cat_6(g1_cat_6(u1_struct_0(A), u1_cat_6(A)))) ) ) ).
fof(t18_cat_6, axiom,  (! [A] :  (l1_cat_6(A) =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k1_cat_6(g1_cat_6(u1_struct_0(A), u1_cat_6(A)))) =>  (B=C =>  (v3_cat_6(B, A) <=> v3_cat_6(C, g1_cat_6(u1_struct_0(A), u1_cat_6(A)))) ) ) ) ) ) ) ) ).
fof(t19_cat_6, axiom,  (! [A] :  (l1_cat_6(A) =>  (v5_cat_6(A) <=> v5_cat_6(g1_cat_6(u1_struct_0(A), u1_cat_6(A)))) ) ) ).
fof(t20_cat_6, axiom,  (! [A] :  (l1_cat_6(A) =>  (v10_cat_6(A) <=> v10_cat_6(g1_cat_6(u1_struct_0(A), u1_cat_6(A)))) ) ) ).
fof(d15_cat_6, axiom,  (! [A] :  (l1_cat_6(A) =>  (v12_cat_6(A) <=>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) => v11_cat_6(B, A)) ) ) ) ) ).
fof(t21_cat_6, axiom,  (! [A] :  ( (v12_cat_6(A) & l1_cat_6(A))  =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  (r1_cat_6(A, B, C) =>  (B=C & k2_cat_6(A, B, C)=C) ) ) ) ) ) ) ) ).
fof(d16_cat_6, axiom,  (! [A] :  (! [B] :  ( (v1_cat_6(B) &  (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) &  (v12_cat_6(B) & l1_cat_6(B)) ) ) ) )  =>  (B=k4_cat_6(A) <=> u1_struct_0(B)=A) ) ) ) ).
fof(t22_cat_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (v11_cat_6(B, A) <=> m1_subset_1(B, k5_cat_6(A))) ) ) ) ) ).
fof(t23_cat_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k5_cat_6(A)) =>  (B=D =>  ( (r1_cat_6(A, B, C) => k2_cat_6(A, B, C)=C)  &  ( (r1_cat_6(A, C, B) => k2_cat_6(A, C, B)=C)  & r1_cat_6(A, B, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_cat_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (v11_cat_6(B, A) => r1_cat_6(A, B, B)) ) ) ) ) ).
fof(t25_cat_6, axiom,  (! [A] :  ( (v10_cat_6(A) & l1_cat_6(A))  =>  (! [B] :  ( (v10_cat_6(B) & l1_cat_6(B))  =>  (g1_cat_6(u1_struct_0(A), u1_cat_6(A))=g1_cat_6(u1_struct_0(B), u1_cat_6(B)) =>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k1_cat_6(B)) =>  (C=D =>  (v11_cat_6(C, A) <=> v11_cat_6(D, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_cat_6, axiom,  (! [A] :  ( (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  ( (r1_cat_6(A, B, C) & v11_cat_6(C, A))  => k6_cat_6(A, B)=C) ) ) ) ) ) ) ).
fof(t27_cat_6, axiom,  (! [A] :  ( (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  ( (r1_cat_6(A, C, B) & v11_cat_6(C, A))  => k7_cat_6(A, B)=C) ) ) ) ) ) ) ).
fof(d20_cat_6, axiom,  (! [A] :  ( (v10_cat_6(A) & l1_cat_6(A))  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) => k8_cat_6(A, B)=B) ) ) ) ).
fof(d22_cat_6, axiom,  (! [A] :  ( (v10_cat_6(A) & l1_cat_6(A))  =>  (! [B] :  ( (v10_cat_6(B) & l1_cat_6(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v13_cat_6(C, A, B) <=>  (! [D] :  (m1_subset_1(D, k1_cat_6(A)) =>  (v11_cat_6(D, A) => v11_cat_6(k9_cat_6(A, B, C, D), B)) ) ) ) ) ) ) ) ) ) ).
fof(d23_cat_6, axiom,  (! [A] :  ( (v10_cat_6(A) & l1_cat_6(A))  =>  (! [B] :  ( (v10_cat_6(B) & l1_cat_6(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v14_cat_6(C, A, B) <=>  (! [D] :  (m1_subset_1(D, k1_cat_6(A)) =>  (! [E] :  (m1_subset_1(E, k1_cat_6(A)) =>  (r1_cat_6(A, D, E) =>  (r1_cat_6(B, k9_cat_6(A, B, C, D), k9_cat_6(A, B, C, E)) & k9_cat_6(A, B, C, k2_cat_6(A, D, E))=k2_cat_6(B, k9_cat_6(A, B, C, D), k9_cat_6(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d24_cat_6, axiom,  (! [A] :  ( (v10_cat_6(A) & l1_cat_6(A))  =>  (! [B] :  ( (v10_cat_6(B) & l1_cat_6(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v15_cat_6(C, A, B) <=>  (! [D] :  (m1_subset_1(D, k1_cat_6(A)) =>  (! [E] :  (m1_subset_1(E, k1_cat_6(A)) =>  (r1_cat_6(A, D, E) =>  (r1_cat_6(B, k9_cat_6(A, B, C, E), k9_cat_6(A, B, C, D)) & k9_cat_6(A, B, C, k2_cat_6(A, D, E))=k2_cat_6(B, k9_cat_6(A, B, C, E), k9_cat_6(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_cat_6, axiom,  (? [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  &  (? [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  &  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  &  (v14_cat_6(C, A, B) &  ~ (v13_cat_6(C, A, B)) ) ) ) ) ) ) ) ).
fof(t29_cat_6, axiom,  (! [A] :  ( (v10_cat_6(A) & l1_cat_6(A))  =>  (! [B] :  ( (v10_cat_6(B) & l1_cat_6(B))  =>  (v2_struct_0(B) =>  (v2_struct_0(A) |  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ( ~ (v14_cat_6(C, A, B))  &  ~ (v15_cat_6(C, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t30_cat_6, axiom,  (? [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  &  (? [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  &  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  &  ( ~ (v14_cat_6(C, A, B))  & v13_cat_6(C, A, B)) ) ) ) ) ) ) ).
fof(d25_cat_6, axiom,  (! [A] :  ( (v10_cat_6(A) & l1_cat_6(A))  =>  (! [B] :  ( (v10_cat_6(B) & l1_cat_6(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v16_cat_6(C, A, B) <=>  (v13_cat_6(C, A, B) & v14_cat_6(C, A, B)) ) ) ) ) ) ) ) ).
fof(d26_cat_6, axiom,  (! [A] :  ( (v10_cat_6(A) & l1_cat_6(A))  =>  (! [B] :  ( (v10_cat_6(B) & l1_cat_6(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v17_cat_6(C, A, B) <=>  (v13_cat_6(C, A, B) & v15_cat_6(C, A, B)) ) ) ) ) ) ) ) ).
fof(t31_cat_6, axiom,  (! [A] :  ( (v10_cat_6(A) & l1_cat_6(A))  =>  (! [B] :  ( (v10_cat_6(B) & l1_cat_6(B))  =>  (v2_struct_0(B) =>  (v2_struct_0(A) |  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ( ~ (v16_cat_6(C, A, B))  &  ~ (v17_cat_6(C, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t32_cat_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v16_cat_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (! [D] :  (m1_subset_1(D, k1_cat_6(A)) =>  (k10_cat_6(A, B, C, k6_cat_6(A, D))=k6_cat_6(B, k9_cat_6(A, B, C, D)) & k10_cat_6(A, B, C, k7_cat_6(A, D))=k7_cat_6(B, k9_cat_6(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t33_cat_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v16_cat_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (! [D] :  (m1_subset_1(D, k5_cat_6(A)) => k9_cat_6(A, B, C, k8_cat_6(A, D))=k8_cat_6(B, k10_cat_6(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(d27_cat_6, axiom,  (! [A] :  ( (v10_cat_6(A) & l1_cat_6(A))  =>  (! [B] :  ( (v10_cat_6(B) & l1_cat_6(B))  =>  (! [C] :  ( (v10_cat_6(C) & l1_cat_6(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  ~ ( ( (v16_cat_6(D, A, B) | v17_cat_6(D, A, B))  &  ( (v16_cat_6(E, B, C) | v17_cat_6(E, B, C))  &  ~ (k11_cat_6(A, B, C, D, E)=k4_relset_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_cat_6, axiom,  (! [A] :  ( (v10_cat_6(A) & l1_cat_6(A))  =>  (! [B] :  ( (v10_cat_6(B) & l1_cat_6(B))  =>  (! [C] :  ( (v10_cat_6(C) & l1_cat_6(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (! [F] :  (m1_subset_1(F, k1_cat_6(A)) =>  ( (v16_cat_6(D, A, B) & v16_cat_6(E, B, C))  =>  (v2_struct_0(A) | k9_cat_6(A, C, k11_cat_6(A, B, C, D, E), F)=k9_cat_6(B, C, E, k9_cat_6(A, B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_cat_6, axiom,  (! [A] :  ( (v10_cat_6(A) & l1_cat_6(A))  =>  (! [B] :  ( (v10_cat_6(B) & l1_cat_6(B))  =>  (! [C] :  ( (v10_cat_6(C) & l1_cat_6(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  ( (v16_cat_6(D, A, B) & v16_cat_6(E, B, C))  => v16_cat_6(k11_cat_6(A, B, C, D, E), A, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d28_cat_6, axiom,  (! [A] :  ( (v10_cat_6(A) & l1_cat_6(A))  =>  (! [B] :  ( (v10_cat_6(B) & l1_cat_6(B))  =>  (r2_cat_6(A, B) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  &  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  &  (v16_cat_6(C, A, B) &  (v16_cat_6(D, B, A) &  (r2_relset_1(u1_struct_0(A), u1_struct_0(A), k11_cat_6(A, B, A, C, D), k12_cat_6(A)) & r2_relset_1(u1_struct_0(B), u1_struct_0(B), k11_cat_6(B, A, B, D, C), k12_cat_6(B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d29_cat_6, axiom,  (! [A] :  (l1_cat_6(A) => k13_cat_6(A)=u1_cat_6(A)) ) ).
fof(d30_cat_6, axiom,  (! [A] :  ( (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_cat_6(A), k5_cat_6(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_cat_6(A), k5_cat_6(A))))) )  =>  ( ( ~ (v2_struct_0(A))  =>  (B=k14_cat_6(A) <=>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) => k1_funct_1(B, C)=k6_cat_6(A, C)) ) ) )  &  (v2_struct_0(A) =>  (B=k14_cat_6(A) <=> B=k1_xboole_0) ) ) ) ) ) ) ).
fof(d31_cat_6, axiom,  (! [A] :  ( (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_cat_6(A), k5_cat_6(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_cat_6(A), k5_cat_6(A))))) )  =>  ( ( ~ (v2_struct_0(A))  =>  (B=k15_cat_6(A) <=>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) => k1_funct_1(B, C)=k7_cat_6(A, C)) ) ) )  &  (v2_struct_0(A) =>  (B=k15_cat_6(A) <=> B=k1_xboole_0) ) ) ) ) ) ) ).
fof(d32_cat_6, axiom,  (! [A] :  ( (v10_cat_6(A) & l1_cat_6(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k5_cat_6(A), k1_cat_6(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k5_cat_6(A), k1_cat_6(A))))) )  =>  ( ( ~ (v2_struct_0(A))  =>  (B=k16_cat_6(A) <=>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) => k1_funct_1(B, C)=k8_cat_6(A, C)) ) ) )  &  (v2_struct_0(A) =>  (B=k16_cat_6(A) <=> B=k1_xboole_0) ) ) ) ) ) ) ).
fof(t36_cat_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  (r2_hidden(k4_tarski(C, B), k1_relset_1(k2_zfmisc_1(k1_cat_6(A), k1_cat_6(A)), k13_cat_6(A))) <=> k1_funct_1(k14_cat_6(A), C)=k1_funct_1(k15_cat_6(A), B)) ) ) ) ) ) ) ).
fof(t37_cat_6, axiom,  (! [A] :  ( (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  (k1_funct_1(k14_cat_6(A), C)=k1_funct_1(k15_cat_6(A), B) =>  (k1_funct_1(k14_cat_6(A), k1_binop_1(k13_cat_6(A), C, B))=k1_funct_1(k14_cat_6(A), B) & k1_funct_1(k15_cat_6(A), k1_binop_1(k13_cat_6(A), C, B))=k1_funct_1(k15_cat_6(A), C)) ) ) ) ) ) ) ) ).
fof(t38_cat_6, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k1_cat_6(A)) =>  ( (k1_funct_1(k14_cat_6(A), D)=k1_funct_1(k15_cat_6(A), C) & k1_funct_1(k14_cat_6(A), C)=k1_funct_1(k15_cat_6(A), B))  => k1_binop_1(k13_cat_6(A), D, k1_binop_1(k13_cat_6(A), C, B))=k1_binop_1(k13_cat_6(A), k1_binop_1(k13_cat_6(A), D, C), B)) ) ) ) ) ) ) ) ) ).
fof(t39_cat_6, axiom,  (! [A] :  ( (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (k1_funct_1(k14_cat_6(A), k1_funct_1(k16_cat_6(A), B))=B &  (k1_funct_1(k15_cat_6(A), k1_funct_1(k16_cat_6(A), B))=B &  ( (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  (k1_funct_1(k15_cat_6(A), C)=B => k1_binop_1(k13_cat_6(A), k1_funct_1(k16_cat_6(A), B), C)=C) ) )  &  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  (k1_funct_1(k14_cat_6(A), C)=B => k1_binop_1(k13_cat_6(A), C, k1_funct_1(k16_cat_6(A), B))=C) ) ) ) ) ) ) ) ) ) ).
fof(d33_cat_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) ) )  => k17_cat_6(A)=g1_cat_1(k5_cat_6(A), k1_cat_6(A), k14_cat_6(A), k15_cat_6(A), k13_cat_6(A))) ) ).
fof(d34_cat_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  => k18_cat_6(A)=g1_cat_6(u4_struct_0(A), u1_cat_1(A))) ) ).
fof(t40_cat_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_cat_6(k18_cat_6(A))) =>  (! [E] :  (m1_subset_1(E, k1_cat_6(k18_cat_6(A))) =>  ( (B=D &  (C=E & r2_tarski(k8_cat_2(A, A, B, C), k1_relset_1(k2_zfmisc_1(u4_struct_0(A), u4_struct_0(A)), u1_cat_1(A)))) )  => k1_cat_1(A, C, B)=k2_cat_6(k18_cat_6(A), D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_cat_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_cat_6(k18_cat_6(A))) =>  (v11_cat_6(B, k18_cat_6(A)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & B=k4_cat_1(A, C)) ) ) ) ) ) ) ).
fof(t42_cat_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k18_cat_6(A)), u1_struct_0(k18_cat_6(B))) &  (v16_cat_6(C, k18_cat_6(A), k18_cat_6(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k18_cat_6(A)), u1_struct_0(k18_cat_6(B)))))) ) ) ) ) ) ) ) ) ).
fof(t43_cat_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(k17_cat_6(A))) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(k17_cat_6(A))) =>  (! [D] :  (m1_subset_1(D, k1_cat_6(A)) =>  (! [E] :  (m1_subset_1(E, k1_cat_6(A)) =>  ( (B=D &  (C=E & r1_cat_6(A, D, E)) )  => k1_cat_1(k17_cat_6(A), C, B)=k2_cat_6(A, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_cat_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(k17_cat_6(A))) =>  (C=B =>  (k6_cat_6(A, B)=k3_graph_1(k17_cat_6(A), C) & k7_cat_6(A, B)=k4_graph_1(k17_cat_6(A), C)) ) ) ) ) ) ) ) ).
fof(t45_cat_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k17_cat_6(A))) =>  (B=C => k8_cat_6(A, B)=k4_cat_1(k17_cat_6(A), C)) ) ) ) ) ) ) ).
fof(t46_cat_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (v11_cat_6(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k17_cat_6(A))) & B=k4_cat_1(k17_cat_6(A), C)) ) ) ) ) ) ) ).
fof(t47_cat_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v16_cat_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  => m2_cat_1(C, k17_cat_6(A), k17_cat_6(B))) ) ) ) ) ) ).
fof(t48_cat_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k18_cat_6(A)), u1_struct_0(k18_cat_6(B))) &  (v16_cat_6(C, k18_cat_6(A), k18_cat_6(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k18_cat_6(A)), u1_struct_0(k18_cat_6(B)))))) ) )  => m2_cat_1(C, A, B)) ) ) ) ) ) ).
fof(t49_cat_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (r2_cat_6(k18_cat_6(A), k18_cat_6(B)) => r1_isocat_1(A, B)) ) ) ) ) ).
fof(t50_cat_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  ( (u4_struct_0(A)=u4_struct_0(B) & u1_cat_1(A)=u1_cat_1(B))  => r1_isocat_1(A, B)) ) ) ) ) ).
fof(t51_cat_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  => r1_isocat_1(A, k17_cat_6(k18_cat_6(A)))) ) ).
fof(t52_cat_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) ) )  => r2_cat_6(A, k18_cat_6(k17_cat_6(A)))) ) ).
fof(abstractness_v1_cat_6, axiom,  (! [A] :  (l1_cat_6(A) =>  (v1_cat_6(A) => A=g1_cat_6(u1_struct_0(A), u1_cat_6(A))) ) ) ).
fof(dt_l1_cat_6, axiom,  (! [A] :  (l1_cat_6(A) => l1_struct_0(A)) ) ).
fof(existence_l1_cat_6, axiom,  (? [A] : l1_cat_6(A)) ).
fof(dt_g1_cat_6, axiom,  (! [A, B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A))))  =>  (v1_cat_6(g1_cat_6(A, B)) & l1_cat_6(g1_cat_6(A, B))) ) ) ).
fof(free_g1_cat_6, axiom,  (! [A, B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A))))  =>  (! [C, D] :  (g1_cat_6(A, B)=g1_cat_6(C, D) =>  (A=C & B=D) ) ) ) ) ).
fof(dt_u1_cat_6, axiom,  (! [A] :  (l1_cat_6(A) =>  (v1_funct_1(u1_cat_6(A)) & m1_subset_1(u1_cat_6(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A))))) ) ) ).
fof(dt_k2_cat_6, axiom,  (! [A, B, C] :  ( (l1_cat_6(A) &  (m1_subset_1(B, k1_cat_6(A)) & m1_subset_1(C, k1_cat_6(A))) )  => m1_subset_1(k2_cat_6(A, B, C), k1_cat_6(A))) ) ).
fof(dt_k3_cat_6, axiom,  (! [A] :  (l1_cat_6(A) =>  (v1_cat_6(k3_cat_6(A)) & l1_cat_6(k3_cat_6(A))) ) ) ).
fof(dt_k4_cat_6, axiom,  (! [A] :  (v1_cat_6(k4_cat_6(A)) &  (v8_cat_6(k4_cat_6(A)) &  (v9_cat_6(k4_cat_6(A)) &  (v10_cat_6(k4_cat_6(A)) &  (v12_cat_6(k4_cat_6(A)) & l1_cat_6(k4_cat_6(A))) ) ) ) ) ) ).
fof(dt_k5_cat_6, axiom,  (! [A] :  (l1_cat_6(A) => m1_subset_1(k5_cat_6(A), k1_zfmisc_1(k1_cat_6(A)))) ) ).
fof(dt_k6_cat_6, axiom,  (! [A, B] :  ( ( (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  & m1_subset_1(B, k1_cat_6(A)))  => m1_subset_1(k6_cat_6(A, B), k5_cat_6(A))) ) ).
fof(dt_k7_cat_6, axiom,  (! [A, B] :  ( ( (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  & m1_subset_1(B, k1_cat_6(A)))  => m1_subset_1(k7_cat_6(A, B), k5_cat_6(A))) ) ).
fof(dt_k8_cat_6, axiom,  (! [A, B] :  ( ( (v10_cat_6(A) & l1_cat_6(A))  & m1_subset_1(B, k5_cat_6(A)))  => m1_subset_1(k8_cat_6(A, B), k1_cat_6(A))) ) ).
fof(dt_k9_cat_6, axiom,  (! [A, B, C, D] :  ( ( (v10_cat_6(A) & l1_cat_6(A))  &  ( (v10_cat_6(B) & l1_cat_6(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  & m1_subset_1(D, k1_cat_6(A))) ) )  => m1_subset_1(k9_cat_6(A, B, C, D), k1_cat_6(B))) ) ).
fof(dt_k10_cat_6, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_cat_6(A) & l1_cat_6(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v10_cat_6(B) & l1_cat_6(B)) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v16_cat_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  & m1_subset_1(D, k5_cat_6(A))) ) )  => m1_subset_1(k10_cat_6(A, B, C, D), k5_cat_6(B))) ) ).
fof(redefinition_k10_cat_6, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_cat_6(A) & l1_cat_6(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v10_cat_6(B) & l1_cat_6(B)) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v16_cat_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  & m1_subset_1(D, k5_cat_6(A))) ) )  => k10_cat_6(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(dt_k11_cat_6, axiom,  (! [A, B, C, D, E] :  ( ( (v10_cat_6(A) & l1_cat_6(A))  &  ( (v10_cat_6(B) & l1_cat_6(B))  &  ( (v10_cat_6(C) & l1_cat_6(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) ) )  =>  (v1_funct_1(k11_cat_6(A, B, C, D, E)) &  (v1_funct_2(k11_cat_6(A, B, C, D, E), u1_struct_0(A), u1_struct_0(C)) & m1_subset_1(k11_cat_6(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C))))) ) ) ) ).
fof(dt_k12_cat_6, axiom,  (! [A] :  ( (v10_cat_6(A) & l1_cat_6(A))  =>  (v1_funct_1(k12_cat_6(A)) &  (v1_funct_2(k12_cat_6(A), u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(k12_cat_6(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ).
fof(redefinition_k12_cat_6, axiom,  (! [A] :  ( (v10_cat_6(A) & l1_cat_6(A))  => k12_cat_6(A)=k3_struct_0(A)) ) ).
fof(symmetry_r2_cat_6, axiom,  (! [A, B] :  ( ( (v10_cat_6(A) & l1_cat_6(A))  &  (v10_cat_6(B) & l1_cat_6(B)) )  =>  (r2_cat_6(A, B) => r2_cat_6(B, A)) ) ) ).
fof(reflexivity_r2_cat_6, axiom,  (! [A, B] :  ( ( (v10_cat_6(A) & l1_cat_6(A))  &  (v10_cat_6(B) & l1_cat_6(B)) )  => r2_cat_6(A, A)) ) ).
fof(dt_k13_cat_6, axiom,  (! [A] :  (l1_cat_6(A) =>  (v1_funct_1(k13_cat_6(A)) & m1_subset_1(k13_cat_6(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_cat_6(A), k1_cat_6(A)), k1_cat_6(A))))) ) ) ).
fof(dt_k14_cat_6, axiom,  (! [A] :  ( (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (v1_funct_1(k14_cat_6(A)) &  (v1_funct_2(k14_cat_6(A), k1_cat_6(A), k5_cat_6(A)) & m1_subset_1(k14_cat_6(A), k1_zfmisc_1(k2_zfmisc_1(k1_cat_6(A), k5_cat_6(A))))) ) ) ) ).
fof(dt_k15_cat_6, axiom,  (! [A] :  ( (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (v1_funct_1(k15_cat_6(A)) &  (v1_funct_2(k15_cat_6(A), k1_cat_6(A), k5_cat_6(A)) & m1_subset_1(k15_cat_6(A), k1_zfmisc_1(k2_zfmisc_1(k1_cat_6(A), k5_cat_6(A))))) ) ) ) ).
fof(dt_k16_cat_6, axiom,  (! [A] :  ( (v10_cat_6(A) & l1_cat_6(A))  =>  (v1_funct_1(k16_cat_6(A)) &  (v1_funct_2(k16_cat_6(A), k5_cat_6(A), k1_cat_6(A)) & m1_subset_1(k16_cat_6(A), k1_zfmisc_1(k2_zfmisc_1(k5_cat_6(A), k1_cat_6(A))))) ) ) ) ).
fof(dt_k17_cat_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) ) )  =>  ( ~ (v2_struct_0(k17_cat_6(A)))  &  ( ~ (v11_struct_0(k17_cat_6(A)))  &  (v1_cat_1(k17_cat_6(A)) &  (v2_cat_1(k17_cat_6(A)) &  (v3_cat_1(k17_cat_6(A)) &  (v4_cat_1(k17_cat_6(A)) &  (v5_cat_1(k17_cat_6(A)) &  (v6_cat_1(k17_cat_6(A)) & l1_cat_1(k17_cat_6(A))) ) ) ) ) ) ) ) ) ) ).
fof(dt_k18_cat_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (v1_cat_6(k18_cat_6(A)) &  (v8_cat_6(k18_cat_6(A)) &  (v9_cat_6(k18_cat_6(A)) &  (v10_cat_6(k18_cat_6(A)) & l1_cat_6(k18_cat_6(A))) ) ) ) ) ) ).
fof(d17_cat_6, axiom,  (! [A] :  (l1_cat_6(A) => k5_cat_6(A)=a_1_0_cat_6(A)) ) ).
fof(d18_cat_6, axiom,  (! [A] :  ( (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  ( ( ~ (v2_struct_0(A))  =>  (C=k6_cat_6(A, B) <=>  (? [D] :  (m1_subset_1(D, k1_cat_6(A)) &  (C=D &  (r1_cat_6(A, B, D) & v11_cat_6(D, A)) ) ) ) ) )  &  (v2_struct_0(A) =>  (C=k6_cat_6(A, B) <=> C=o_1_1_cat_6(A)) ) ) ) ) ) ) ) ) ).
fof(d19_cat_6, axiom,  (! [A] :  ( (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  ( ( ~ (v2_struct_0(A))  =>  (C=k7_cat_6(A, B) <=>  (? [D] :  (m1_subset_1(D, k1_cat_6(A)) &  (C=D &  (r1_cat_6(A, D, B) & v11_cat_6(D, A)) ) ) ) ) )  &  (v2_struct_0(A) =>  (C=k7_cat_6(A, B) <=> C=o_1_1_cat_6(A)) ) ) ) ) ) ) ) ) ).
fof(d21_cat_6, axiom,  (! [A] :  ( (v10_cat_6(A) & l1_cat_6(A))  =>  (! [B] :  ( (v10_cat_6(B) & l1_cat_6(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  (m1_subset_1(D, k1_cat_6(A)) =>  ( ( ~ (v2_struct_0(A))  => k9_cat_6(A, B, C, D)=k1_funct_1(C, D))  &  (v2_struct_0(A) => k9_cat_6(A, B, C, D)=o_1_2_cat_6(B)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_cat_6, axiom,  (! [A, B] :  (l1_cat_6(B) =>  (r2_hidden(A, a_1_0_cat_6(B)) <=>  (? [C] :  (m1_subset_1(C, k1_cat_6(B)) &  (A=C &  (v11_cat_6(C, B) & r2_tarski(C, k1_cat_6(B))) ) ) ) ) ) ) ).
fof(dt_o_1_1_cat_6, axiom,  (! [A] :  ( (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  => m1_subset_1(o_1_1_cat_6(A), k5_cat_6(A))) ) ).
fof(dt_o_1_2_cat_6, axiom,  (! [A] :  ( (v10_cat_6(A) & l1_cat_6(A))  => m1_subset_1(o_1_2_cat_6(A), k5_cat_6(A))) ) ).
fof(cc1_cat_7, axiom,  (! [A] :  (v3_ordinal1(A) =>  ~ (v1_xtuple_0(A)) ) ) ).
fof(fc1_cat_7, axiom,  (! [A] :  ( (v2_struct_0(A) & l1_cat_6(A))  => v1_xboole_0(k1_cat_6(A))) ) ).
fof(fc2_cat_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_cat_6(A))  =>  ~ (v1_xboole_0(k1_cat_6(A))) ) ) ).
fof(fc3_cat_7, axiom,  (! [A] :  ( (v2_struct_0(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  => v1_xboole_0(k5_cat_6(A))) ) ).
fof(fc4_cat_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  ~ (v1_xboole_0(k5_cat_6(A))) ) ) ).
fof(fc5_cat_7, axiom,  (! [A, B] :  ( ( (v10_cat_6(A) & l1_cat_6(A))  & m1_subset_1(B, k5_cat_6(A)))  => v11_cat_6(k8_cat_6(A, B), A)) ) ).
fof(fc6_cat_7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_cat_6(A) & l1_cat_6(A)) )  & m1_subset_1(B, k5_cat_6(A)))  =>  ~ (v1_xboole_0(k1_cat_7(A, B, B))) ) ) ).
fof(cc2_cat_7, axiom,  (! [A] :  (l1_cat_6(A) =>  (v2_struct_0(A) => v6_cat_7(A)) ) ) ).
fof(rc1_cat_7, axiom,  (? [A] :  (l1_cat_6(A) &  (v1_cat_6(A) & v6_cat_7(A)) ) ) ).
fof(cc3_cat_7, axiom,  (! [A] :  (l1_cat_6(A) =>  ( (v9_cat_6(A) &  (v10_cat_6(A) & v6_cat_7(A)) )  =>  (v8_cat_6(A) &  (v9_cat_6(A) & v10_cat_6(A)) ) ) ) ) ).
fof(fc7_cat_7, axiom,  (! [A] :  ( (v2_struct_0(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  => v1_xboole_0(k5_cat_7(A))) ) ).
fof(fc8_cat_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  ~ (v1_xboole_0(k5_cat_7(A))) ) ) ).
fof(cc4_cat_7, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v3_ordinal1(A))  =>  (! [B] :  (l1_cat_6(B) =>  ( (v9_cat_6(B) &  (v10_cat_6(B) & v7_cat_7(B, A)) )  =>  ( ~ (v2_struct_0(B))  &  (v9_cat_6(B) & v10_cat_6(B)) ) ) ) ) ) ) ).
fof(rc2_cat_7, axiom,  (! [A] :  (v3_ordinal1(A) =>  (? [B] :  (l1_cat_6(B) &  (v1_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) &  (v6_cat_7(B) & v7_cat_7(B, A)) ) ) ) ) ) ) ) ).
fof(cc5_cat_7, axiom,  (! [A] :  ( (v1_xboole_0(A) & v3_ordinal1(A))  =>  (! [B] :  (l1_cat_6(B) =>  ( (v9_cat_6(B) &  (v10_cat_6(B) & v7_cat_7(B, A)) )  =>  (v2_struct_0(B) &  (v9_cat_6(B) & v10_cat_6(B)) ) ) ) ) ) ) ).
fof(t1_cat_7, axiom,  (! [A] :  (l1_cat_6(A) =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  ( ~ (v2_struct_0(A))  => r2_tarski(B, u1_struct_0(A))) ) ) ) ) ).
fof(t2_cat_7, axiom,  (! [A] :  ( (v10_cat_6(A) & l1_cat_6(A))  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  ( ~ (v2_struct_0(A))  => r2_tarski(B, u1_struct_0(A))) ) ) ) ) ).
fof(t3_cat_7, axiom,  (! [A] :  ( (v9_cat_6(A) & l1_cat_6(A))  =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k1_cat_6(A)) =>  ( (r1_cat_6(A, B, C) &  (r1_cat_6(A, C, D) & v11_cat_6(C, A)) )  => r1_cat_6(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t4_cat_7, axiom,  (! [A] :  ( (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  (r1_cat_6(A, B, C) =>  (k6_cat_6(A, k2_cat_6(A, B, C))=k6_cat_6(A, C) & k7_cat_6(A, k2_cat_6(A, B, C))=k7_cat_6(A, B)) ) ) ) ) ) ) ) ).
fof(t5_cat_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  (r1_cat_6(A, B, C) <=> k6_cat_6(A, B)=k7_cat_6(A, C)) ) ) ) ) ) ) ).
fof(t6_cat_7, axiom,  (! [A] :  ( (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (v11_cat_6(B, A) =>  (k6_cat_6(A, B)=B & k7_cat_6(A, B)=B) ) ) ) ) ) ).
fof(t7_cat_7, axiom,  (! [A] :  ( (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  ( (r1_cat_6(A, B, C) &  (v11_cat_6(B, A) & v11_cat_6(C, A)) )  => B=C) ) ) ) ) ) ) ).
fof(t8_cat_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  (k6_cat_6(A, B)=C =>  (r1_cat_6(A, B, C) & k2_cat_6(A, B, C)=B) ) ) ) ) ) ) ) ).
fof(t9_cat_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  (B=k7_cat_6(A, C) =>  (r1_cat_6(A, B, C) & k2_cat_6(A, B, C)=C) ) ) ) ) ) ) ) ).
fof(t10_cat_7, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  ( (v8_cat_6(C) &  (v9_cat_6(C) &  (v10_cat_6(C) & l1_cat_6(C)) ) )  =>  (! [D] :  ( (v8_cat_6(D) &  (v9_cat_6(D) &  (v10_cat_6(D) & l1_cat_6(D)) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(C), u1_struct_0(D)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D))))) )  =>  ( (v16_cat_6(E, A, B) &  (v16_cat_6(F, B, C) & v16_cat_6(G, C, D)) )  => r2_relset_1(u1_struct_0(A), u1_struct_0(D), k11_cat_6(A, C, D, k11_cat_6(A, B, C, E, F), G), k11_cat_6(A, B, D, E, k11_cat_6(B, C, D, F, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_cat_7, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v16_cat_6(C, A, B) =>  (r2_relset_1(u1_struct_0(A), u1_struct_0(B), k11_cat_6(A, A, B, k12_cat_6(A), C), C) & r2_relset_1(u1_struct_0(A), u1_struct_0(B), k11_cat_6(A, B, B, C, k12_cat_6(B)), C)) ) ) ) ) ) ) ) ).
fof(t12_cat_7, axiom,  (! [A] :  ( (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (! [B] :  ( (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) )  =>  (r2_cat_6(A, B) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  &  (v16_cat_6(C, A, B) & v3_funct_2(C, u1_struct_0(A), u1_struct_0(B))) ) ) ) ) ) ) ) ).
fof(t13_cat_7, axiom,  (! [A] :  ( (v2_struct_0(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (! [B] :  ( (v2_struct_0(B) &  (v10_cat_6(B) & l1_cat_6(B)) )  => r2_cat_6(A, B)) ) ) ) ).
fof(t14_cat_7, axiom,  (! [A] :  ( (v10_cat_6(A) & l1_cat_6(A))  =>  (! [B] :  ( (v10_cat_6(B) & l1_cat_6(B))  =>  (r2_cat_6(A, B) =>  (k1_card_1(k1_cat_6(A))=k1_card_1(k1_cat_6(B)) & k1_card_1(k5_cat_6(A))=k1_card_1(k5_cat_6(B))) ) ) ) ) ) ).
fof(t15_cat_7, axiom,  (! [A] :  ( (v10_cat_6(A) & l1_cat_6(A))  =>  (! [B] :  ( (v10_cat_6(B) & l1_cat_6(B))  =>  ( (r2_cat_6(A, B) & v2_struct_0(A))  => v2_struct_0(B)) ) ) ) ) ).
fof(d3_cat_7, axiom,  (! [A] :  (l1_cat_6(A) =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  ( ~ (k1_cat_7(A, B, C)=k1_xboole_0)  =>  (! [D] :  (m1_subset_1(D, k1_cat_6(A)) =>  (m1_cat_7(D, A, B, C) <=> r2_tarski(D, k1_cat_7(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(d4_cat_7, axiom,  (! [A] :  ( (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k5_cat_6(A)) =>  (! [E] :  (m1_cat_7(E, A, B, C) =>  (! [F] :  (m1_cat_7(F, A, C, D) =>  ~ ( ( ~ (k1_cat_7(A, B, C)=k1_xboole_0)  &  ( ~ (k1_cat_7(A, C, D)=k1_xboole_0)  &  ~ (k4_cat_7(A, B, C, D, E, F)=k2_cat_6(A, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_cat_7, axiom,  (! [A] :  (l1_cat_6(A) =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_cat_7(D, A, B, C) =>  ~ ( ( ~ (k1_cat_7(A, B, C)=k1_xboole_0)  &  (! [E] :  (m1_subset_1(E, k1_cat_6(A)) =>  (! [F] :  (m1_subset_1(F, k1_cat_6(A)) =>  ~ ( (B=E &  (C=F &  (r1_cat_6(A, D, E) & r1_cat_6(A, F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_cat_7, axiom,  (! [A] :  ( (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k5_cat_6(A)) =>  (! [E] :  (m1_cat_7(E, A, B, C) =>  (! [F] :  (m1_cat_7(F, A, C, D) =>  ~ ( ( ~ (k1_cat_7(A, B, C)=k1_xboole_0)  &  ( ~ (k1_cat_7(A, C, D)=k1_xboole_0)  &  ~ (r1_cat_6(A, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_cat_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_cat_7(D, A, B, C) =>  ( ~ (k2_cat_7(A, B, C)=k1_xboole_0)  =>  (k4_cat_7(A, B, B, C, k3_cat_7(A, B), D)=D & k4_cat_7(A, B, C, C, D, k3_cat_7(A, C))=D) ) ) ) ) ) ) ) ) ) ).
fof(t19_cat_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) => r2_tarski(B, k2_cat_7(A, k6_cat_6(A, B), k7_cat_6(A, B)))) ) ) ) ).
fof(t20_cat_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k1_cat_6(A)) =>  (r2_tarski(D, k2_cat_7(A, B, C)) <=>  (k6_cat_6(A, D)=B & k7_cat_6(A, D)=C) ) ) ) ) ) ) ) ) ) ).
fof(t21_cat_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) => r2_tarski(B, k2_cat_7(A, B, B))) ) ) ) ).
fof(t22_cat_7, axiom,  (! [A] :  ( (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k5_cat_6(A)) =>  ~ ( ( ~ (k1_cat_7(A, B, C)=k1_xboole_0)  &  ( ~ (k1_cat_7(A, C, D)=k1_xboole_0)  & k1_cat_7(A, B, D)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_cat_7, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k5_cat_6(A)) =>  (! [E] :  (m1_subset_1(E, k5_cat_6(A)) =>  (! [F] :  (m1_cat_7(F, A, B, C) =>  (! [G] :  (m1_cat_7(G, A, C, D) =>  (! [H] :  (m1_cat_7(H, A, D, E) =>  ~ ( ( ~ (k1_cat_7(A, B, C)=k1_xboole_0)  &  ( ~ (k1_cat_7(A, C, D)=k1_xboole_0)  &  ( ~ (k1_cat_7(A, D, E)=k1_xboole_0)  &  ~ (k4_cat_7(A, B, D, E, k4_cat_7(A, B, C, D, F, G), H)=k4_cat_7(A, B, C, E, F, k4_cat_7(A, C, D, E, G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_cat_7, axiom,  (! [A] :  ( (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k5_cat_6(A)) =>  (! [E] :  (m1_cat_7(E, A, B, C) =>  (! [F] :  (m1_cat_7(F, A, C, D) =>  ~ ( ( ~ (k1_cat_7(A, B, C)=k1_xboole_0)  &  ( ~ (k1_cat_7(A, C, D)=k1_xboole_0)  &  ~ ( ( (v11_cat_6(E, A) => k4_cat_7(A, B, C, D, E, F)=F)  &  (v11_cat_6(F, A) => k4_cat_7(A, B, C, D, E, F)=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_cat_7, axiom,  (! [A] :  ( (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_cat_7(D, A, B, C) =>  (v1_cat_7(D, A, B, C) <=>  ( ~ (k1_cat_7(A, B, C)=k1_xboole_0)  &  (! [E] :  (m1_subset_1(E, k5_cat_6(A)) =>  ( ~ (k1_cat_7(A, E, B)=k1_xboole_0)  =>  (! [F] :  (m1_cat_7(F, A, E, B) =>  (! [G] :  (m1_cat_7(G, A, E, B) =>  (k4_cat_7(A, E, B, C, F, D)=k4_cat_7(A, E, B, C, G, D) => F=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_cat_7, axiom,  (! [A] :  ( (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_cat_7(D, A, B, C) =>  (v2_cat_7(D, A, B, C) <=>  ( ~ (k1_cat_7(A, B, C)=k1_xboole_0)  &  (! [E] :  (m1_subset_1(E, k5_cat_6(A)) =>  ( ~ (k1_cat_7(A, C, E)=k1_xboole_0)  =>  (! [F] :  (m1_cat_7(F, A, C, E) =>  (! [G] :  (m1_cat_7(G, A, C, E) =>  (k4_cat_7(A, B, C, E, D, F)=k4_cat_7(A, B, C, E, D, G) => F=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_cat_7, axiom,  (! [A] :  ( (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_cat_7(D, A, B, C) =>  (v11_cat_6(D, A) =>  (k1_cat_7(A, B, C)=k1_xboole_0 | v1_cat_7(D, A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t26_cat_7, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k5_cat_6(A)) =>  (! [E] :  (m1_cat_7(E, A, B, C) =>  (! [F] :  (m1_cat_7(F, A, C, D) =>  ( (v1_cat_7(E, A, B, C) & v1_cat_7(F, A, C, D))  => v1_cat_7(k4_cat_7(A, B, C, D, E, F), A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_cat_7, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k5_cat_6(A)) =>  (! [E] :  (m1_cat_7(E, A, B, C) =>  (! [F] :  (m1_cat_7(F, A, C, D) =>  (v1_cat_7(k4_cat_7(A, B, C, D, E, F), A, B, D) =>  (k1_cat_7(A, B, C)=k1_xboole_0 |  (k1_cat_7(A, C, D)=k1_xboole_0 | v1_cat_7(E, A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_cat_7, axiom,  (! [A] :  ( (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_cat_7(D, A, B, C) =>  (v3_cat_7(D, A, B, C) <=>  ( ~ (k1_cat_7(A, B, C)=k1_xboole_0)  &  ( ~ (k1_cat_7(A, C, B)=k1_xboole_0)  &  (? [E] :  (m1_cat_7(E, A, C, B) & k4_cat_7(A, B, C, B, D, E)=k8_cat_6(A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_cat_7, axiom,  (! [A] :  ( (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_cat_7(D, A, B, C) =>  (v4_cat_7(D, A, B, C) <=>  ( ~ (k1_cat_7(A, B, C)=k1_xboole_0)  &  ( ~ (k1_cat_7(A, C, B)=k1_xboole_0)  &  (? [E] :  (m1_cat_7(E, A, C, B) & k4_cat_7(A, C, B, C, E, D)=k8_cat_6(A, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_cat_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_cat_7(D, A, B, C) =>  (v3_cat_7(D, A, B, C) => v1_cat_7(D, A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t29_cat_7, axiom,  (! [A] :  ( (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_cat_7(D, A, B, C) =>  (v11_cat_6(D, A) =>  (k1_cat_7(A, B, C)=k1_xboole_0 | v2_cat_7(D, A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t30_cat_7, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k5_cat_6(A)) =>  (! [E] :  (m1_cat_7(E, A, B, C) =>  (! [F] :  (m1_cat_7(F, A, C, D) =>  ( (v2_cat_7(E, A, B, C) & v2_cat_7(F, A, C, D))  => v2_cat_7(k4_cat_7(A, B, C, D, E, F), A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_cat_7, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k5_cat_6(A)) =>  (! [E] :  (m1_cat_7(E, A, B, C) =>  (! [F] :  (m1_cat_7(F, A, C, D) =>  (v2_cat_7(k4_cat_7(A, B, C, D, E, F), A, B, D) =>  (k1_cat_7(A, B, C)=k1_xboole_0 |  (k1_cat_7(A, C, D)=k1_xboole_0 | v2_cat_7(F, A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_cat_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_cat_7(D, A, B, C) =>  (v4_cat_7(D, A, B, C) => v2_cat_7(D, A, B, C)) ) ) ) ) ) ) ) ) ).
fof(d9_cat_7, axiom,  (! [A] :  ( (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_cat_7(D, A, B, C) =>  (v5_cat_7(D, A, B, C) <=>  ( ~ (k1_cat_7(A, B, C)=k1_xboole_0)  &  ( ~ (k1_cat_7(A, C, B)=k1_xboole_0)  &  (? [E] :  (m1_cat_7(E, A, C, B) &  (k4_cat_7(A, B, C, B, D, E)=k8_cat_6(A, B) & k4_cat_7(A, C, B, C, E, D)=k8_cat_6(A, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_cat_7, axiom,  (! [A] :  ( (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (r1_cat_7(A, B, C) <=>  (? [D] :  (m1_cat_7(D, A, B, C) & v5_cat_7(D, A, B, C)) ) ) ) ) ) ) ) ) ).
fof(d11_cat_7, axiom,  (! [A] :  ( (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (r1_cat_7(A, B, C) <=>  ( ~ (k1_cat_7(A, B, C)=k1_xboole_0)  &  ( ~ (k1_cat_7(A, C, B)=k1_xboole_0)  &  (? [D] :  (m1_cat_7(D, A, B, C) &  (? [E] :  (m1_cat_7(E, A, C, B) &  (k4_cat_7(A, B, C, B, D, E)=k8_cat_6(A, B) & k4_cat_7(A, C, B, C, E, D)=k8_cat_6(A, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_cat_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_cat_7(D, A, B, C) =>  (v5_cat_7(D, A, B, C) =>  (v1_cat_7(D, A, B, C) & v2_cat_7(D, A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(d12_cat_7, axiom,  (! [A] :  (l1_cat_6(A) =>  (v6_cat_7(A) <=>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k1_cat_6(A)) =>  (! [E] :  (m1_subset_1(E, k1_cat_6(A)) =>  ( (r2_tarski(D, k1_cat_7(A, B, C)) & r2_tarski(E, k1_cat_7(A, B, C)))  => D=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_cat_7, axiom,  (! [A] :  ( (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (k1_relset_1(k5_cat_6(A), k5_cat_7(A))=k5_cat_6(A) & k2_relset_1(k5_cat_6(A), k5_cat_7(A))=k5_cat_6(A)) ) ) ).
fof(t35_cat_7, axiom,  (! [A] :  ( (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (! [B] :  ( (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) )  =>  (r2_cat_6(A, B) => r4_wellord1(k5_cat_7(A), k5_cat_7(B))) ) ) ) ) ).
fof(t36_cat_7, axiom,  (! [A] :  ( (v9_cat_6(A) &  (v10_cat_6(A) &  (v6_cat_7(A) & l1_cat_6(A)) ) )  =>  ~ ( ( ~ (v2_struct_0(A))  &  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k5_cat_7(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k5_cat_7(A))))) )  =>  ~ ( (v3_funct_2(B, u1_struct_0(A), k5_cat_7(A)) &  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) => k1_funct_1(B, C)=k4_tarski(k6_cat_6(A, C), k7_cat_6(A, C))) ) ) ) ) ) ) ) ) ) ).
fof(d14_cat_7, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) )  =>  (v7_cat_7(B, A) <=> r4_wellord1(k5_cat_7(B), k1_wellord2(A))) ) ) ) ) ).
fof(t38_cat_7, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  ( (v8_cat_6(C) &  (v9_cat_6(C) &  (v10_cat_6(C) &  (v6_cat_7(C) &  (v7_cat_7(C, A) & l1_cat_6(C)) ) ) ) )  =>  (! [D] :  ( (v8_cat_6(D) &  (v9_cat_6(D) &  (v10_cat_6(D) &  (v6_cat_7(D) &  (v7_cat_7(D, B) & l1_cat_6(D)) ) ) ) )  =>  (A=B <=> r2_cat_6(C, D)) ) ) ) ) ) ) ) ) ).
fof(t39_cat_7, axiom,  (? [A] :  (m1_subset_1(A, k1_cat_6(k6_cat_7(2))) &  ( ~ (v11_cat_6(A, k6_cat_7(2)))  &  (k5_cat_6(k6_cat_7(2))=k2_tarski(k6_cat_6(k6_cat_7(2), A), k7_cat_6(k6_cat_7(2), A)) &  (k1_cat_6(k6_cat_7(2))=k1_enumset1(k6_cat_6(k6_cat_7(2), A), k7_cat_6(k6_cat_7(2), A), A) & r1_zfmisc_1(k6_cat_6(k6_cat_7(2), A), k7_cat_6(k6_cat_7(2), A), A)) ) ) ) ) ).
fof(d16_cat_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k6_cat_7(2)), u1_struct_0(A)) &  (v16_cat_6(C, k6_cat_7(2), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_cat_7(2)), u1_struct_0(A))))) ) )  =>  (C=k7_cat_7(A, B) <=>  (! [D] :  (m1_subset_1(D, k1_cat_6(k6_cat_7(2))) =>  ( ~ (v11_cat_6(D, k6_cat_7(2)))  => k9_cat_6(k6_cat_7(2), A, C, D)=B) ) ) ) ) ) ) ) ) ) ).
fof(t40_cat_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (v11_cat_6(B, A) =>  (! [C] :  (m1_subset_1(C, k1_cat_6(k6_cat_7(2))) => k9_cat_6(k6_cat_7(2), A, k7_cat_7(A, B), C)=B) ) ) ) ) ) ) ).
fof(d17_cat_7, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k5_cat_6(A)) =>  (! [E] :  (m1_subset_1(E, k5_cat_6(A)) =>  (! [F] :  (m1_cat_7(F, A, C, B) =>  ( ~ (k1_cat_7(A, C, B)=k1_xboole_0)  =>  (! [G] :  (m1_cat_7(G, A, D, B) =>  ( ~ (k1_cat_7(A, D, B)=k1_xboole_0)  =>  (! [H] :  (m1_cat_7(H, A, E, C) =>  ( ~ (k1_cat_7(A, E, C)=k1_xboole_0)  =>  (! [I] :  (m1_cat_7(I, A, E, D) =>  ( ~ (k1_cat_7(A, E, D)=k1_xboole_0)  =>  (r2_cat_7(A, B, C, D, E, F, G, H, I) <=>  (k4_cat_7(A, E, C, B, H, F)=k4_cat_7(A, E, D, B, I, G) &  (! [J] :  (m1_subset_1(J, k5_cat_6(A)) =>  (! [K] :  (m1_cat_7(K, A, J, C) =>  (! [L] :  (m1_cat_7(L, A, J, D) =>  (k4_cat_7(A, J, C, B, K, F)=k4_cat_7(A, J, D, B, L, G) =>  (k1_cat_7(A, J, C)=k1_xboole_0 |  (k1_cat_7(A, J, D)=k1_xboole_0 |  ( ~ (k1_cat_7(A, J, E)=k1_xboole_0)  &  (? [M] :  (m1_cat_7(M, A, J, E) &  (k4_cat_7(A, J, E, C, M, H)=K &  (k4_cat_7(A, J, E, D, M, I)=L &  (! [N] :  (m1_cat_7(N, A, J, E) =>  ( (k4_cat_7(A, J, E, C, N, H)=K & k4_cat_7(A, J, E, D, N, I)=L)  => M=N) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_cat_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k5_cat_6(A)) =>  (! [E] :  (m1_subset_1(E, k5_cat_6(A)) =>  (! [F] :  (m1_subset_1(F, k5_cat_6(A)) =>  (! [G] :  (m1_cat_7(G, A, C, B) =>  (! [H] :  (m1_cat_7(H, A, D, B) =>  (! [I] :  (m1_cat_7(I, A, E, C) =>  (! [J] :  (m1_cat_7(J, A, E, D) =>  (! [K] :  (m1_cat_7(K, A, F, C) =>  (! [L] :  (m1_cat_7(L, A, F, D) =>  ( (r2_cat_7(A, B, C, D, E, G, H, I, J) & r2_cat_7(A, B, C, D, F, G, H, K, L))  =>  (k2_cat_7(A, C, B)=k1_xboole_0 |  (k2_cat_7(A, D, B)=k1_xboole_0 |  (k2_cat_7(A, E, C)=k1_xboole_0 |  (k2_cat_7(A, E, D)=k1_xboole_0 |  (k2_cat_7(A, F, C)=k1_xboole_0 |  (k2_cat_7(A, F, D)=k1_xboole_0 | r1_cat_7(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_cat_7, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k5_cat_6(A)) =>  (! [E] :  (m1_subset_1(E, k5_cat_6(A)) =>  (! [F] :  (m1_cat_7(F, A, C, B) =>  (! [G] :  (m1_cat_7(G, A, D, B) =>  (! [H] :  (m1_cat_7(H, A, E, C) =>  (! [I] :  (m1_cat_7(I, A, E, D) =>  (r2_cat_7(A, B, C, D, E, F, G, H, I) =>  (k1_cat_7(A, C, B)=k1_xboole_0 |  (k1_cat_7(A, D, B)=k1_xboole_0 |  (k1_cat_7(A, E, C)=k1_xboole_0 |  (k1_cat_7(A, E, D)=k1_xboole_0 | r2_cat_7(A, B, D, C, E, G, F, I, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_cat_7, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k5_cat_6(A)) =>  (! [E] :  (m1_subset_1(E, k5_cat_6(A)) =>  (! [F] :  (m1_cat_7(F, A, C, B) =>  (! [G] :  (m1_cat_7(G, A, D, B) =>  (! [H] :  (m1_cat_7(H, A, E, C) =>  (! [I] :  (m1_cat_7(I, A, E, D) =>  ( (r2_cat_7(A, B, C, D, E, F, G, H, I) & v1_cat_7(F, A, C, B))  =>  (k1_cat_7(A, C, B)=k1_xboole_0 |  (k1_cat_7(A, D, B)=k1_xboole_0 |  (k1_cat_7(A, E, C)=k1_xboole_0 |  (k1_cat_7(A, E, D)=k1_xboole_0 | v1_cat_7(I, A, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_cat_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k5_cat_6(A)) =>  (! [E] :  (m1_subset_1(E, k5_cat_6(A)) =>  (! [F] :  (m1_cat_7(F, A, C, B) =>  (! [G] :  (m1_cat_7(G, A, D, B) =>  (! [H] :  (m1_cat_7(H, A, E, C) =>  (! [I] :  (m1_cat_7(I, A, E, D) =>  ( (r2_cat_7(A, B, C, D, E, F, G, H, I) & v5_cat_7(F, A, C, B))  =>  (k2_cat_7(A, C, B)=k1_xboole_0 |  (k2_cat_7(A, D, B)=k1_xboole_0 |  (k2_cat_7(A, E, C)=k1_xboole_0 |  (k2_cat_7(A, E, D)=k1_xboole_0 | v5_cat_7(I, A, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_cat_7, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k5_cat_6(A)) =>  (! [E] :  (m1_subset_1(E, k5_cat_6(A)) =>  (! [F] :  (m1_subset_1(F, k5_cat_6(A)) =>  (! [G] :  (m1_subset_1(G, k5_cat_6(A)) =>  (! [H] :  (m1_cat_7(H, A, B, C) =>  (! [I] :  (m1_cat_7(I, A, C, D) =>  (! [J] :  (m1_cat_7(J, A, B, E) =>  (! [K] :  (m1_cat_7(K, A, C, F) =>  (! [L] :  (m1_cat_7(L, A, D, G) =>  (! [M] :  (m1_cat_7(M, A, E, F) =>  (! [N] :  (m1_cat_7(N, A, F, G) =>  (r2_cat_7(A, G, D, F, C, L, N, I, K) =>  (k1_cat_7(A, B, C)=k1_xboole_0 |  (k1_cat_7(A, C, D)=k1_xboole_0 |  (k1_cat_7(A, B, E)=k1_xboole_0 |  (k1_cat_7(A, C, F)=k1_xboole_0 |  (k1_cat_7(A, D, G)=k1_xboole_0 |  (k1_cat_7(A, E, F)=k1_xboole_0 |  (k1_cat_7(A, F, G)=k1_xboole_0 |  (r2_cat_7(A, F, C, E, B, K, M, H, J) <=>  (r2_cat_7(A, G, D, E, B, L, k4_cat_7(A, E, F, G, M, N), k4_cat_7(A, B, C, D, H, I), J) & k4_cat_7(A, B, C, F, H, K)=k4_cat_7(A, B, E, F, J, M)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_cat_7, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v8_cat_7(C, A, B) <=>  (v16_cat_6(C, A, B) &  (! [D] :  ( (v8_cat_6(D) &  (v9_cat_6(D) &  (v10_cat_6(D) & l1_cat_6(D)) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(D), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(A))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(D), u1_struct_0(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(A))))) )  =>  ( (v16_cat_6(E, D, A) &  (v16_cat_6(F, D, A) & r2_relset_1(u1_struct_0(D), u1_struct_0(B), k11_cat_6(D, A, B, E, C), k11_cat_6(D, A, B, F, C))) )  => r2_relset_1(u1_struct_0(D), u1_struct_0(A), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_cat_7, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v9_cat_7(C, A, B) <=>  (v16_cat_6(C, A, B) &  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  &  (v16_cat_6(D, B, A) &  (r2_relset_1(u1_struct_0(A), u1_struct_0(A), k11_cat_6(A, B, A, C, D), k12_cat_6(A)) & r2_relset_1(u1_struct_0(B), u1_struct_0(B), k11_cat_6(B, A, B, D, C), k12_cat_6(B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d20_cat_7, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  ( (v8_cat_6(C) &  (v9_cat_6(C) &  (v10_cat_6(C) & l1_cat_6(C)) ) )  =>  (! [D] :  ( (v8_cat_6(D) &  (v9_cat_6(D) &  (v10_cat_6(D) & l1_cat_6(D)) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (v16_cat_6(E, B, A) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(C), u1_struct_0(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) )  =>  (v16_cat_6(F, C, A) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(D), u1_struct_0(B)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(B))))) )  =>  (v16_cat_6(G, D, B) =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(D), u1_struct_0(C)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(C))))) )  =>  (v16_cat_6(H, D, C) =>  (r3_cat_7(A, B, C, D, E, F, G, H) <=>  (r2_relset_1(u1_struct_0(D), u1_struct_0(A), k11_cat_6(D, B, A, G, E), k11_cat_6(D, C, A, H, F)) &  (! [I] :  ( (v8_cat_6(I) &  (v9_cat_6(I) &  (v10_cat_6(I) & l1_cat_6(I)) ) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(I), u1_struct_0(B)) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(I), u1_struct_0(B))))) )  =>  (! [K] :  ( (v1_funct_1(K) &  (v1_funct_2(K, u1_struct_0(I), u1_struct_0(C)) & m1_subset_1(K, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(I), u1_struct_0(C))))) )  =>  ~ ( (v16_cat_6(J, I, B) &  (v16_cat_6(K, I, C) &  (r2_relset_1(u1_struct_0(I), u1_struct_0(A), k11_cat_6(I, B, A, J, E), k11_cat_6(I, C, A, K, F)) &  (! [L] :  ( (v1_funct_1(L) &  (v1_funct_2(L, u1_struct_0(I), u1_struct_0(D)) & m1_subset_1(L, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(I), u1_struct_0(D))))) )  =>  ~ ( (v16_cat_6(L, I, D) &  (r2_relset_1(u1_struct_0(I), u1_struct_0(B), k11_cat_6(I, D, B, L, G), J) &  (r2_relset_1(u1_struct_0(I), u1_struct_0(C), k11_cat_6(I, D, C, L, H), K) &  (! [M] :  ( (v1_funct_1(M) &  (v1_funct_2(M, u1_struct_0(I), u1_struct_0(D)) & m1_subset_1(M, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(I), u1_struct_0(D))))) )  =>  ( (v16_cat_6(M, I, D) &  (r2_relset_1(u1_struct_0(I), u1_struct_0(B), k11_cat_6(I, D, B, M, G), J) & r2_relset_1(u1_struct_0(I), u1_struct_0(C), k11_cat_6(I, D, C, M, H), K)) )  => r2_relset_1(u1_struct_0(I), u1_struct_0(D), L, M)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_cat_7, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  ( (v8_cat_6(C) &  (v9_cat_6(C) &  (v10_cat_6(C) & l1_cat_6(C)) ) )  =>  (! [D] :  ( (v8_cat_6(D) &  (v9_cat_6(D) &  (v10_cat_6(D) & l1_cat_6(D)) ) )  =>  (! [E] :  ( (v8_cat_6(E) &  (v9_cat_6(E) &  (v10_cat_6(E) & l1_cat_6(E)) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(C), u1_struct_0(A)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(D), u1_struct_0(B)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(B))))) )  =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(D), u1_struct_0(C)) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(C))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(E), u1_struct_0(B)) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E), u1_struct_0(B))))) )  =>  (! [K] :  ( (v1_funct_1(K) &  (v1_funct_2(K, u1_struct_0(E), u1_struct_0(C)) & m1_subset_1(K, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E), u1_struct_0(C))))) )  =>  ( (v16_cat_6(F, B, A) &  (v16_cat_6(G, C, A) &  (v16_cat_6(H, D, B) &  (v16_cat_6(I, D, C) &  (v16_cat_6(J, E, B) &  (v16_cat_6(K, E, C) &  (r3_cat_7(A, B, C, D, F, G, H, I) & r3_cat_7(A, B, C, E, F, G, J, K)) ) ) ) ) ) )  => r2_cat_6(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_cat_7, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  ( (v8_cat_6(C) &  (v9_cat_6(C) &  (v10_cat_6(C) & l1_cat_6(C)) ) )  =>  (! [D] :  ( (v8_cat_6(D) &  (v9_cat_6(D) &  (v10_cat_6(D) & l1_cat_6(D)) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(C), u1_struct_0(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(D), u1_struct_0(B)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(B))))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(D), u1_struct_0(C)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(C))))) )  =>  ( (v16_cat_6(E, B, A) &  (v16_cat_6(F, C, A) &  (v16_cat_6(G, D, B) &  (v16_cat_6(H, D, C) & r3_cat_7(A, B, C, D, E, F, G, H)) ) ) )  => r3_cat_7(A, C, B, D, F, E, H, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_cat_7, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  ( (v8_cat_6(C) &  (v9_cat_6(C) &  (v10_cat_6(C) & l1_cat_6(C)) ) )  =>  (! [D] :  ( (v8_cat_6(D) &  (v9_cat_6(D) &  (v10_cat_6(D) & l1_cat_6(D)) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(C), u1_struct_0(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(D), u1_struct_0(B)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(B))))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(D), u1_struct_0(C)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(C))))) )  =>  ( (v16_cat_6(E, B, A) &  (v16_cat_6(F, C, A) &  (v16_cat_6(G, D, B) &  (v16_cat_6(H, D, C) &  (r3_cat_7(A, B, C, D, E, F, G, H) & v8_cat_7(E, B, A)) ) ) ) )  => v8_cat_7(H, D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_cat_7, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  ( (v8_cat_6(C) &  (v9_cat_6(C) &  (v10_cat_6(C) & l1_cat_6(C)) ) )  =>  (! [D] :  ( (v8_cat_6(D) &  (v9_cat_6(D) &  (v10_cat_6(D) & l1_cat_6(D)) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(C), u1_struct_0(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(D), u1_struct_0(B)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(B))))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(D), u1_struct_0(C)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(C))))) )  =>  ( (v16_cat_6(E, B, A) &  (v16_cat_6(F, C, A) &  (v16_cat_6(G, D, B) &  (v16_cat_6(H, D, C) &  (r3_cat_7(A, B, C, D, E, F, G, H) & v9_cat_7(E, B, A)) ) ) ) )  => v9_cat_7(H, D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_cat_7, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  ( (v8_cat_6(C) &  (v9_cat_6(C) &  (v10_cat_6(C) & l1_cat_6(C)) ) )  =>  (! [D] :  ( (v8_cat_6(D) &  (v9_cat_6(D) &  (v10_cat_6(D) & l1_cat_6(D)) ) )  =>  (! [E] :  ( (v8_cat_6(E) &  (v9_cat_6(E) &  (v10_cat_6(E) & l1_cat_6(E)) ) )  =>  (! [F] :  ( (v8_cat_6(F) &  (v9_cat_6(F) &  (v10_cat_6(F) & l1_cat_6(F)) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(A), u1_struct_0(D)) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(D))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(B), u1_struct_0(E)) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(E))))) )  =>  (! [K] :  ( (v1_funct_1(K) &  (v1_funct_2(K, u1_struct_0(C), u1_struct_0(F)) & m1_subset_1(K, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(F))))) )  =>  (! [L] :  ( (v1_funct_1(L) &  (v1_funct_2(L, u1_struct_0(D), u1_struct_0(E)) & m1_subset_1(L, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(E))))) )  =>  (! [M] :  ( (v1_funct_1(M) &  (v1_funct_2(M, u1_struct_0(E), u1_struct_0(F)) & m1_subset_1(M, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E), u1_struct_0(F))))) )  =>  ( (v16_cat_6(G, A, B) &  (v16_cat_6(H, B, C) &  (v16_cat_6(I, A, D) &  (v16_cat_6(J, B, E) &  (v16_cat_6(K, C, F) &  (v16_cat_6(L, D, E) &  (v16_cat_6(M, E, F) & r3_cat_7(F, C, E, B, K, M, H, J)) ) ) ) ) ) )  =>  (r3_cat_7(E, B, D, A, J, L, G, I) <=>  (r3_cat_7(F, C, D, A, K, k11_cat_6(D, E, F, L, M), k11_cat_6(A, B, C, G, H), I) & r2_relset_1(u1_struct_0(A), u1_struct_0(E), k11_cat_6(A, B, E, G, J), k11_cat_6(A, D, E, I, L))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d21_cat_7, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  ( (v8_cat_6(C) &  (v9_cat_6(C) &  (v10_cat_6(C) & l1_cat_6(C)) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (v16_cat_6(D, B, A) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) )  =>  (v16_cat_6(E, C, A) =>  (! [F] :  (v2_xtuple_0(F) =>  (m2_cat_7(F, A, B, C, D, E) <=>  (? [G] :  ( (v1_cat_6(G) &  (v8_cat_6(G) &  (v9_cat_6(G) &  (v10_cat_6(G) & l1_cat_6(G)) ) ) )  &  (? [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(G), u1_struct_0(B)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(G), u1_struct_0(B))))) )  &  (? [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(G), u1_struct_0(C)) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(G), u1_struct_0(C))))) )  &  (F=k3_xtuple_0(G, H, I) &  (v16_cat_6(H, G, B) &  (v16_cat_6(I, G, C) & r3_cat_7(A, B, C, G, D, E, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_cat_7, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  ( (v8_cat_6(C) &  (v9_cat_6(C) &  (v10_cat_6(C) & l1_cat_6(C)) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) )  =>  ( (v16_cat_6(D, B, A) & v16_cat_6(E, C, A))  =>  (v16_cat_6(k9_cat_7(A, B, C, D, E), k8_cat_7(A, B, C, D, E), B) &  (v16_cat_6(k10_cat_7(A, B, C, D, E), k8_cat_7(A, B, C, D, E), C) & r3_cat_7(A, B, C, k8_cat_7(A, B, C, D, E), D, E, k9_cat_7(A, B, C, D, E), k10_cat_7(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_cat_7, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  ( (v8_cat_6(C) &  (v9_cat_6(C) &  (v10_cat_6(C) & l1_cat_6(C)) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) )  =>  ( (v16_cat_6(D, B, A) & v16_cat_6(E, C, A))  => r2_cat_6(k8_cat_7(A, B, C, D, E), k8_cat_7(A, C, B, E, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_cat_7, axiom,  (? [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  (? [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  (? [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  (? [D] :  (m2_cat_1(D, B, A) &  (? [E] :  (m2_cat_1(E, C, A) &  (! [F] :  ( ( ~ (v2_struct_0(F))  &  ( ~ (v11_struct_0(F))  &  (v2_cat_1(F) &  (v3_cat_1(F) &  (v4_cat_1(F) &  (v5_cat_1(F) &  (v6_cat_1(F) & l1_cat_1(F)) ) ) ) ) ) )  =>  (! [G] :  (m2_cat_1(G, F, B) =>  (! [H] :  (m2_cat_1(H, F, C) =>  ~ ( (r2_relset_1(u4_struct_0(F), u4_struct_0(A), k9_cat_1(F, B, A, G, D), k9_cat_1(F, C, A, H, E)) &  (! [I] :  ( ( ~ (v2_struct_0(I))  &  ( ~ (v11_struct_0(I))  &  (v2_cat_1(I) &  (v3_cat_1(I) &  (v4_cat_1(I) &  (v5_cat_1(I) &  (v6_cat_1(I) & l1_cat_1(I)) ) ) ) ) ) )  =>  (! [J] :  (m2_cat_1(J, I, B) =>  (! [K] :  (m2_cat_1(K, I, C) =>  ~ ( (r2_relset_1(u4_struct_0(I), u4_struct_0(A), k9_cat_1(I, B, A, J, D), k9_cat_1(I, C, A, K, E)) &  (! [L] :  (m2_cat_1(L, I, F) =>  ~ ( (r2_relset_1(u4_struct_0(I), u4_struct_0(B), k9_cat_1(I, F, B, L, G), J) &  (r2_relset_1(u4_struct_0(I), u4_struct_0(C), k9_cat_1(I, F, C, L, H), K) &  (! [M] :  (m2_cat_1(M, I, F) =>  ( (r2_relset_1(u4_struct_0(I), u4_struct_0(B), k9_cat_1(I, F, B, M, G), J) & r2_relset_1(u4_struct_0(I), u4_struct_0(C), k9_cat_1(I, F, C, M, H), K))  => r2_relset_1(u4_struct_0(I), u4_struct_0(F), L, M)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_cat_7, axiom,  (! [A, B, C] :  ( (l1_cat_6(A) &  (m1_subset_1(B, k5_cat_6(A)) & m1_subset_1(C, k5_cat_6(A))) )  => m1_subset_1(k1_cat_7(A, B, C), k1_zfmisc_1(k1_cat_6(A)))) ) ).
fof(dt_k2_cat_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  &  (m1_subset_1(B, k5_cat_6(A)) & m1_subset_1(C, k5_cat_6(A))) )  => m1_subset_1(k2_cat_7(A, B, C), k1_zfmisc_1(k1_cat_6(A)))) ) ).
fof(redefinition_k2_cat_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  &  (m1_subset_1(B, k5_cat_6(A)) & m1_subset_1(C, k5_cat_6(A))) )  => k2_cat_7(A, B, C)=k1_cat_7(A, B, C)) ) ).
fof(dt_m1_cat_7, axiom,  (! [A, B, C] :  ( (l1_cat_6(A) &  (m1_subset_1(B, k5_cat_6(A)) & m1_subset_1(C, k5_cat_6(A))) )  =>  (! [D] :  (m1_cat_7(D, A, B, C) => m1_subset_1(D, k1_cat_6(A))) ) ) ) ).
fof(existence_m1_cat_7, axiom,  (! [A, B, C] :  ( (l1_cat_6(A) &  (m1_subset_1(B, k5_cat_6(A)) & m1_subset_1(C, k5_cat_6(A))) )  =>  (? [D] : m1_cat_7(D, A, B, C)) ) ) ).
fof(dt_k3_cat_7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_cat_6(A) & l1_cat_6(A)) )  & m1_subset_1(B, k5_cat_6(A)))  => m1_cat_7(k3_cat_7(A, B), A, B, B)) ) ).
fof(redefinition_k3_cat_7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_cat_6(A) & l1_cat_6(A)) )  & m1_subset_1(B, k5_cat_6(A)))  => k3_cat_7(A, B)=k8_cat_6(A, B)) ) ).
fof(dt_k4_cat_7, axiom,  (! [A, B, C, D, E, F] :  ( ( (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  &  (m1_subset_1(B, k5_cat_6(A)) &  (m1_subset_1(C, k5_cat_6(A)) &  (m1_subset_1(D, k5_cat_6(A)) &  (m1_cat_7(E, A, B, C) & m1_cat_7(F, A, C, D)) ) ) ) )  => m1_cat_7(k4_cat_7(A, B, C, D, E, F), A, B, D)) ) ).
fof(dt_k5_cat_7, axiom,  (! [A] :  ( (v10_cat_6(A) & l1_cat_6(A))  => m1_subset_1(k5_cat_7(A), k1_zfmisc_1(k2_zfmisc_1(k5_cat_6(A), k5_cat_6(A))))) ) ).
fof(dt_k6_cat_7, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_cat_6(k6_cat_7(A)) &  (v8_cat_6(k6_cat_7(A)) &  (v9_cat_6(k6_cat_7(A)) &  (v10_cat_6(k6_cat_7(A)) &  (v6_cat_7(k6_cat_7(A)) &  (v7_cat_7(k6_cat_7(A), A) & l1_cat_6(k6_cat_7(A))) ) ) ) ) ) ) ) ).
fof(dt_k7_cat_7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) ) )  & m1_subset_1(B, k1_cat_6(A)))  =>  (v1_funct_1(k7_cat_7(A, B)) &  (v1_funct_2(k7_cat_7(A, B), u1_struct_0(k6_cat_7(2)), u1_struct_0(A)) &  (v16_cat_6(k7_cat_7(A, B), k6_cat_7(2), A) & m1_subset_1(k7_cat_7(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_cat_7(2)), u1_struct_0(A))))) ) ) ) ) ).
fof(dt_m2_cat_7, axiom,  (! [A, B, C, D, E] :  ( ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  &  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  &  ( (v8_cat_6(C) &  (v9_cat_6(C) &  (v10_cat_6(C) & l1_cat_6(C)) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) ) ) ) ) )  =>  (! [F] :  (m2_cat_7(F, A, B, C, D, E) => v2_xtuple_0(F)) ) ) ) ).
fof(existence_m2_cat_7, axiom,  (! [A, B, C, D, E] :  ( ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  &  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  &  ( (v8_cat_6(C) &  (v9_cat_6(C) &  (v10_cat_6(C) & l1_cat_6(C)) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) ) ) ) ) )  =>  (? [F] : m2_cat_7(F, A, B, C, D, E)) ) ) ).
fof(dt_k8_cat_7, axiom,  (! [A, B, C, D, E] :  ( ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  &  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  &  ( (v8_cat_6(C) &  (v9_cat_6(C) &  (v10_cat_6(C) & l1_cat_6(C)) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) ) ) ) ) )  =>  (v1_cat_6(k8_cat_7(A, B, C, D, E)) &  (v8_cat_6(k8_cat_7(A, B, C, D, E)) &  (v9_cat_6(k8_cat_7(A, B, C, D, E)) &  (v10_cat_6(k8_cat_7(A, B, C, D, E)) & l1_cat_6(k8_cat_7(A, B, C, D, E))) ) ) ) ) ) ).
fof(dt_k9_cat_7, axiom,  (! [A, B, C, D, E] :  ( ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  &  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  &  ( (v8_cat_6(C) &  (v9_cat_6(C) &  (v10_cat_6(C) & l1_cat_6(C)) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) ) ) ) ) )  =>  (v1_funct_1(k9_cat_7(A, B, C, D, E)) &  (v1_funct_2(k9_cat_7(A, B, C, D, E), u1_struct_0(k8_cat_7(A, B, C, D, E)), u1_struct_0(B)) & m1_subset_1(k9_cat_7(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k8_cat_7(A, B, C, D, E)), u1_struct_0(B))))) ) ) ) ).
fof(dt_k10_cat_7, axiom,  (! [A, B, C, D, E] :  ( ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  &  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  &  ( (v8_cat_6(C) &  (v9_cat_6(C) &  (v10_cat_6(C) & l1_cat_6(C)) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) ) ) ) ) )  =>  (v1_funct_1(k10_cat_7(A, B, C, D, E)) &  (v1_funct_2(k10_cat_7(A, B, C, D, E), u1_struct_0(k8_cat_7(A, B, C, D, E)), u1_struct_0(C)) & m1_subset_1(k10_cat_7(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k8_cat_7(A, B, C, D, E)), u1_struct_0(C))))) ) ) ) ).
fof(d1_cat_7, axiom,  (! [A] :  (l1_cat_6(A) =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) => k1_cat_7(A, B, C)=a_3_0_cat_7(A, B, C)) ) ) ) ) ) ).
fof(d2_cat_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) => k2_cat_7(A, B, C)=a_3_1_cat_7(A, B, C)) ) ) ) ) ) ).
fof(d13_cat_7, axiom,  (! [A] :  ( (v10_cat_6(A) & l1_cat_6(A))  => k5_cat_7(A)=a_1_0_cat_7(A)) ) ).
fof(t37_cat_7, axiom,  (! [A] :  (v3_ordinal1(A) =>  (? [B] :  ( (v1_cat_6(B) &  (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) &  (v6_cat_7(B) & l1_cat_6(B)) ) ) ) )  &  (k5_cat_6(B)=A &  ( (! [C] :  (m1_subset_1(C, k5_cat_6(B)) =>  (! [D] :  (m1_subset_1(D, k5_cat_6(B)) =>  (r2_tarski(C, D) => k1_cat_7(B, C, D)=k1_tarski(k4_tarski(C, D))) ) ) ) )  &  (k5_cat_7(B)=k1_wellord2(A) & k1_cat_6(B)=k2_xboole_0(A, a_1_1_cat_7(A))) ) ) ) ) ) ) ).
fof(d15_cat_7, axiom,  (! [A] :  (v3_ordinal1(A) => k6_cat_7(A)=o_1_2_cat_7(A)) ) ).
fof(t51_cat_7, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  ( (v8_cat_6(C) &  (v9_cat_6(C) &  (v10_cat_6(C) & l1_cat_6(C)) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) )  =>  ~ ( (v16_cat_6(D, B, A) &  (v16_cat_6(E, C, A) &  (! [F] :  ( (v1_cat_6(F) &  (v8_cat_6(F) &  (v9_cat_6(F) &  (v10_cat_6(F) & l1_cat_6(F)) ) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(F), u1_struct_0(B)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(F), u1_struct_0(B))))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(F), u1_struct_0(C)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(F), u1_struct_0(C))))) )  =>  ~ ( (u1_struct_0(F)=a_5_0_cat_7(A, B, C, D, E) &  (u1_cat_6(F)=a_3_2_cat_7(B, C, F) &  (v16_cat_6(G, F, B) &  (v16_cat_6(H, F, C) & r3_cat_7(A, B, C, F, D, E, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d22_cat_7, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  ( (v8_cat_6(C) &  (v9_cat_6(C) &  (v10_cat_6(C) & l1_cat_6(C)) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (v16_cat_6(D, B, A) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) )  =>  (v16_cat_6(E, C, A) => k8_cat_7(A, B, C, D, E)=k4_xtuple_0(o_5_1_cat_7(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d23_cat_7, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  ( (v8_cat_6(C) &  (v9_cat_6(C) &  (v10_cat_6(C) & l1_cat_6(C)) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (v16_cat_6(D, B, A) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) )  =>  (v16_cat_6(E, C, A) => k9_cat_7(A, B, C, D, E)=k5_xtuple_0(o_5_1_cat_7(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d24_cat_7, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  ( (v8_cat_6(C) &  (v9_cat_6(C) &  (v10_cat_6(C) & l1_cat_6(C)) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (v16_cat_6(D, B, A) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) )  =>  (v16_cat_6(E, C, A) => k10_cat_7(A, B, C, D, E)=k2_xtuple_0(o_5_1_cat_7(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_cat_7, axiom,  (! [A, B, C, D] :  ( (l1_cat_6(B) &  (m1_subset_1(C, k5_cat_6(B)) & m1_subset_1(D, k5_cat_6(B))) )  =>  (r2_hidden(A, a_3_0_cat_7(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_cat_6(B)) &  (A=E &  (? [F] :  (m1_subset_1(F, k1_cat_6(B)) &  (? [G] :  (m1_subset_1(G, k1_cat_6(B)) &  (C=F &  (D=G &  (r1_cat_6(B, E, F) & r1_cat_6(B, G, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_cat_7, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  &  (m1_subset_1(C, k5_cat_6(B)) & m1_subset_1(D, k5_cat_6(B))) )  =>  (r2_hidden(A, a_3_1_cat_7(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_cat_6(B)) &  (A=E &  (k6_cat_6(B, E)=C & k7_cat_6(B, E)=D) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_cat_7, axiom,  (! [A, B] :  ( (v10_cat_6(B) & l1_cat_6(B))  =>  (r2_hidden(A, a_1_0_cat_7(B)) <=>  (? [C, D] :  ( (m1_subset_1(C, k5_cat_6(B)) & m1_subset_1(D, k5_cat_6(B)))  &  (A=k4_tarski(C, D) &  (? [E] :  (m1_subset_1(E, k1_cat_6(B)) & r2_tarski(E, k1_cat_7(B, C, D))) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_1_cat_7, axiom,  (! [A, B] :  (v3_ordinal1(B) =>  (r2_hidden(A, a_1_1_cat_7(B)) <=>  (? [C, D] :  ( (m1_subset_1(C, B) & m1_subset_1(D, B))  &  (A=k4_tarski(C, D) & r2_tarski(C, D)) ) ) ) ) ) ).
fof(dt_o_1_2_cat_7, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_cat_6(o_1_2_cat_7(A)) &  (v8_cat_6(o_1_2_cat_7(A)) &  (v9_cat_6(o_1_2_cat_7(A)) &  (v10_cat_6(o_1_2_cat_7(A)) &  (v6_cat_7(o_1_2_cat_7(A)) &  (v7_cat_7(o_1_2_cat_7(A), A) & l1_cat_6(o_1_2_cat_7(A))) ) ) ) ) ) ) ) ).
fof(fraenkel_a_5_0_cat_7, axiom,  (! [A, B, C, D, E, F] :  ( ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  &  ( (v8_cat_6(C) &  (v9_cat_6(C) &  (v10_cat_6(C) & l1_cat_6(C)) ) )  &  ( (v8_cat_6(D) &  (v9_cat_6(D) &  (v10_cat_6(D) & l1_cat_6(D)) ) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(B))))) )  &  (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(D), u1_struct_0(B)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(B))))) ) ) ) ) )  =>  (r2_hidden(A, a_5_0_cat_7(B, C, D, E, F)) <=>  (? [G, H] :  ( (m1_subset_1(G, k1_cat_6(C)) & m1_subset_1(H, k1_cat_6(D)))  &  (A=k4_tarski(G, H) &  (r2_tarski(G, u1_struct_0(C)) &  (r2_tarski(H, u1_struct_0(D)) & k9_cat_6(C, B, E, G)=k9_cat_6(D, B, F, H)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_2_cat_7, axiom,  (! [A, B, C, D] :  ( ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  &  ( (v8_cat_6(C) &  (v9_cat_6(C) &  (v10_cat_6(C) & l1_cat_6(C)) ) )  &  (v1_cat_6(D) &  (v8_cat_6(D) &  (v9_cat_6(D) &  (v10_cat_6(D) & l1_cat_6(D)) ) ) ) ) )  =>  (r2_hidden(A, a_3_2_cat_7(B, C, D)) <=>  (? [E, F, G] :  ( (m1_subset_1(E, k1_cat_6(D)) &  (m1_subset_1(F, k1_cat_6(D)) & m1_subset_1(G, k1_cat_6(D))) )  &  (A=k4_tarski(k4_tarski(E, F), G) &  (r2_tarski(E, u1_struct_0(D)) &  (r2_tarski(F, u1_struct_0(D)) &  (r2_tarski(G, u1_struct_0(D)) &  (! [H] :  (m1_subset_1(H, k1_cat_6(B)) =>  (! [I] :  (m1_subset_1(I, k1_cat_6(B)) =>  (! [J] :  (m1_subset_1(J, k1_cat_6(B)) =>  (! [K] :  (m1_subset_1(K, k1_cat_6(C)) =>  (! [L] :  (m1_subset_1(L, k1_cat_6(C)) =>  (! [M] :  (m1_subset_1(M, k1_cat_6(C)) =>  ( (E=k4_tarski(H, K) &  (F=k4_tarski(I, L) & G=k4_tarski(J, M)) )  =>  (r1_cat_6(B, H, I) &  (r1_cat_6(C, K, L) &  (J=k2_cat_6(B, H, I) & M=k2_cat_6(C, K, L)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_o_5_1_cat_7, axiom,  (! [A, B, C, D, E] :  ( ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  &  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  &  ( (v8_cat_6(C) &  (v9_cat_6(C) &  (v10_cat_6(C) & l1_cat_6(C)) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) ) ) ) ) )  => m2_cat_7(o_5_1_cat_7(A, B, C, D, E), A, B, C, D, E)) ) ).
fof(cc1_cat_8, axiom,  (! [A, B] :  ( ( (v2_struct_0(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  &  (v10_cat_6(B) & l1_cat_6(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) =>  ( (v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)))  =>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v16_cat_6(C, A, B)) ) ) ) ) ) ) ).
fof(rc1_cat_8, axiom,  (? [A] :  (l1_cat_6(A) &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & v2_cat_8(A)) ) ) ) ) ).
fof(fc1_cat_8, axiom,  ( ~ (v2_struct_0(k6_cat_7(1)))  &  (v1_cat_6(k6_cat_7(1)) &  (v8_cat_6(k6_cat_7(1)) &  (v9_cat_6(k6_cat_7(1)) &  (v10_cat_6(k6_cat_7(1)) &  (v6_cat_7(k6_cat_7(1)) &  (v7_cat_7(k6_cat_7(1), 1) & v3_cat_8(k6_cat_7(1))) ) ) ) ) ) ) ).
fof(rc2_cat_8, axiom,  (? [A] :  (l1_cat_6(A) &  ( ~ (v2_struct_0(A))  &  (v1_cat_6(A) &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & v3_cat_8(A)) ) ) ) ) ) ) ).
fof(rc3_cat_8, axiom,  (? [A] :  (l1_cat_6(A) &  (v1_cat_6(A) &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) &  ~ (v3_cat_8(A)) ) ) ) ) ) ) ).
fof(cc2_cat_8, axiom,  (! [A] :  (l1_cat_6(A) =>  ( ( ~ (v2_struct_0(A))  &  (v7_struct_0(A) &  (v8_cat_6(A) &  (v9_cat_6(A) & v10_cat_6(A)) ) ) )  =>  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & v3_cat_8(A)) ) ) ) ) ) ).
fof(cc3_cat_8, axiom,  (! [A] :  (l1_cat_6(A) =>  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & v3_cat_8(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  (v7_struct_0(A) &  (v8_cat_6(A) &  (v9_cat_6(A) & v10_cat_6(A)) ) ) ) ) ) ) ).
fof(rc4_cat_8, axiom,  (? [A] :  (l1_cat_6(A) &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & v5_cat_8(A)) ) ) ) ) ).
fof(fc2_cat_8, axiom,  (v2_struct_0(k6_cat_7(k5_numbers)) &  (v1_cat_6(k6_cat_7(k5_numbers)) &  (v8_cat_6(k6_cat_7(k5_numbers)) &  (v9_cat_6(k6_cat_7(k5_numbers)) &  (v10_cat_6(k6_cat_7(k5_numbers)) &  (v6_cat_7(k6_cat_7(k5_numbers)) &  (v7_cat_7(k6_cat_7(k5_numbers), k5_numbers) & v6_cat_8(k6_cat_7(k5_numbers))) ) ) ) ) ) ) ).
fof(rc5_cat_8, axiom,  (? [A] :  (l1_cat_6(A) &  (v2_struct_0(A) &  (v1_cat_6(A) &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & v6_cat_8(A)) ) ) ) ) ) ) ).
fof(rc6_cat_8, axiom,  (? [A] :  (l1_cat_6(A) &  (v1_cat_6(A) &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) &  ~ (v6_cat_8(A)) ) ) ) ) ) ) ).
fof(cc4_cat_8, axiom,  (! [A] :  (l1_cat_6(A) =>  ( (v2_struct_0(A) &  (v8_cat_6(A) &  (v9_cat_6(A) & v10_cat_6(A)) ) )  =>  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & v6_cat_8(A)) ) ) ) ) ) ).
fof(rc7_cat_8, axiom,  (? [A] :  (l1_cat_6(A) &  ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & v7_cat_8(A)) ) ) ) ) ) ).
fof(fc3_cat_8, axiom,  (! [A, B] :  ( ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  &  (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) ) )  =>  (v1_funct_1(k9_cat_8(A, B)) &  (v1_funct_2(k9_cat_8(A, B), u1_struct_0(k8_cat_8(A, B)), u1_struct_0(A)) & v16_cat_6(k9_cat_8(A, B), k8_cat_8(A, B), A)) ) ) ) ).
fof(fc4_cat_8, axiom,  (! [A, B] :  ( ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  &  (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) ) )  =>  (v1_funct_1(k10_cat_8(A, B)) &  (v1_funct_2(k10_cat_8(A, B), u1_struct_0(k8_cat_8(A, B)), u1_struct_0(B)) & v16_cat_6(k10_cat_8(A, B), k8_cat_8(A, B), B)) ) ) ) ).
fof(fc5_cat_8, axiom,  (! [A, B] :  ( ( (v2_struct_0(A) &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) ) )  &  (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) ) )  =>  (v2_struct_0(k8_cat_8(A, B)) &  (v1_cat_6(k8_cat_8(A, B)) &  (v8_cat_6(k8_cat_8(A, B)) &  (v9_cat_6(k8_cat_8(A, B)) & v10_cat_6(k8_cat_8(A, B))) ) ) ) ) ) ).
fof(fc6_cat_8, axiom,  (! [A, B] :  ( ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  &  (v2_struct_0(B) &  (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) ) ) )  =>  (v2_struct_0(k8_cat_8(A, B)) &  (v1_cat_6(k8_cat_8(A, B)) &  (v8_cat_6(k8_cat_8(A, B)) &  (v9_cat_6(k8_cat_8(A, B)) & v10_cat_6(k8_cat_8(A, B))) ) ) ) ) ) ).
fof(fc7_cat_8, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) ) ) )  =>  ( ~ (v2_struct_0(k8_cat_8(A, B)))  &  (v1_cat_6(k8_cat_8(A, B)) &  (v8_cat_6(k8_cat_8(A, B)) &  (v9_cat_6(k8_cat_8(A, B)) & v10_cat_6(k8_cat_8(A, B))) ) ) ) ) ) ).
fof(fc8_cat_8, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) ) )  &  (v2_struct_0(B) &  (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) ) ) )  =>  (v2_struct_0(k14_cat_8(A, B)) &  (v1_cat_6(k14_cat_8(A, B)) &  (v8_cat_6(k14_cat_8(A, B)) &  (v9_cat_6(k14_cat_8(A, B)) & v10_cat_6(k14_cat_8(A, B))) ) ) ) ) ) ).
fof(fc9_cat_8, axiom,  (! [A, B] :  ( ( (v2_struct_0(A) &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) ) )  &  (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) ) )  =>  ( ~ (v2_struct_0(k14_cat_8(A, B)))  &  (v7_struct_0(k14_cat_8(A, B)) &  (v1_cat_6(k14_cat_8(A, B)) &  (v8_cat_6(k14_cat_8(A, B)) &  (v9_cat_6(k14_cat_8(A, B)) & v10_cat_6(k14_cat_8(A, B))) ) ) ) ) ) ) ).
fof(fc10_cat_8, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) ) ) )  =>  ( ~ (v2_struct_0(k14_cat_8(A, B)))  &  (v1_cat_6(k14_cat_8(A, B)) &  (v8_cat_6(k14_cat_8(A, B)) &  (v9_cat_6(k14_cat_8(A, B)) & v10_cat_6(k14_cat_8(A, B))) ) ) ) ) ) ).
fof(fc11_cat_8, axiom,  (v1_cat_6(k6_cat_7(1)) &  (v8_cat_6(k6_cat_7(1)) &  (v9_cat_6(k6_cat_7(1)) &  (v10_cat_6(k6_cat_7(1)) &  (v6_cat_7(k6_cat_7(1)) &  (v7_cat_7(k6_cat_7(1), 1) & v7_cat_8(k6_cat_7(1))) ) ) ) ) ) ).
fof(rc8_cat_8, axiom,  (? [A] :  (l1_cat_6(A) &  ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) &  (v7_cat_8(A) & v8_cat_8(A)) ) ) ) ) ) ) ).
fof(fc12_cat_8, axiom,  (! [A, B] :  ( ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  &  (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) ) )  =>  (v1_funct_1(k18_cat_8(A, B)) &  (v1_funct_2(k18_cat_8(A, B), u1_struct_0(k8_cat_8(k17_cat_8(A, B), A)), u1_struct_0(B)) & v16_cat_6(k18_cat_8(A, B), k8_cat_8(k17_cat_8(A, B), A), B)) ) ) ) ).
fof(fc13_cat_8, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) ) )  &  (v2_struct_0(B) &  (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) ) ) )  =>  (v2_struct_0(k17_cat_8(A, B)) &  (v8_cat_6(k17_cat_8(A, B)) &  (v9_cat_6(k17_cat_8(A, B)) & v10_cat_6(k17_cat_8(A, B))) ) ) ) ) ).
fof(fc14_cat_8, axiom,  (! [A, B] :  ( ( (v2_struct_0(A) &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) ) )  &  (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) ) )  =>  ( ~ (v2_struct_0(k17_cat_8(A, B)))  &  (v7_struct_0(k17_cat_8(A, B)) &  (v8_cat_6(k17_cat_8(A, B)) &  (v9_cat_6(k17_cat_8(A, B)) & v10_cat_6(k17_cat_8(A, B))) ) ) ) ) ) ).
fof(fc15_cat_8, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) ) ) )  =>  ( ~ (v2_struct_0(k17_cat_8(A, B)))  &  (v8_cat_6(k17_cat_8(A, B)) &  (v9_cat_6(k17_cat_8(A, B)) & v10_cat_6(k17_cat_8(A, B))) ) ) ) ) ).
fof(t1_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) & l1_cat_6(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k1_cat_6(A)) =>  ( (r1_cat_6(A, B, C) & r1_cat_6(A, C, D))  => k2_cat_6(A, k2_cat_6(A, B, C), D)=k2_cat_6(A, B, k2_cat_6(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t2_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) & l1_cat_6(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k1_cat_6(A)) =>  (! [E] :  (m1_subset_1(E, k1_cat_6(A)) =>  ( (r1_cat_6(A, B, C) &  (r1_cat_6(A, C, D) & r1_cat_6(A, D, E)) )  =>  (k2_cat_6(A, k2_cat_6(A, k2_cat_6(A, B, C), D), E)=k2_cat_6(A, k2_cat_6(A, B, C), k2_cat_6(A, D, E)) &  (k2_cat_6(A, k2_cat_6(A, k2_cat_6(A, B, C), D), E)=k2_cat_6(A, k2_cat_6(A, B, k2_cat_6(A, C, D)), E) &  (k2_cat_6(A, k2_cat_6(A, k2_cat_6(A, B, C), D), E)=k2_cat_6(A, B, k2_cat_6(A, k2_cat_6(A, C, D), E)) & k2_cat_6(A, k2_cat_6(A, k2_cat_6(A, B, C), D), E)=k2_cat_6(A, B, k2_cat_6(A, C, k2_cat_6(A, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_cat_8, axiom,  (! [A] :  ( (v9_cat_6(A) & l1_cat_6(A))  =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k1_cat_6(A)) =>  (r1_cat_6(A, C, D) =>  ( (r1_cat_6(A, k2_cat_6(A, C, D), B) => r1_cat_6(A, D, B))  &  ( (r1_cat_6(A, D, B) => r1_cat_6(A, k2_cat_6(A, C, D), B))  &  ( (r1_cat_6(A, B, k2_cat_6(A, C, D)) => r1_cat_6(A, B, C))  &  (r1_cat_6(A, B, C) => r1_cat_6(A, B, k2_cat_6(A, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_cat_8, axiom,  (! [A] :  ( (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  (r1_cat_6(A, B, C) =>  ( (v11_cat_6(B, A) => k2_cat_6(A, B, C)=C)  &  (v11_cat_6(C, A) => k2_cat_6(A, B, C)=B) ) ) ) ) ) ) ) ) ).
fof(t5_cat_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (? [C] :  (m1_subset_1(C, k1_cat_6(A)) &  (? [D] :  (m1_subset_1(D, k1_cat_6(A)) &  (v11_cat_6(C, A) &  (v11_cat_6(D, A) &  (r1_cat_6(A, C, B) & r1_cat_6(A, B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_cat_8, axiom,  (! [A] :  (l1_cat_6(A) =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_cat_7(D, A, B, C) =>  (k1_cat_7(A, B, C)=k1_tarski(D) =>  (! [E] :  (m1_cat_7(E, A, B, C) => D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_cat_8, axiom,  (! [A] :  (l1_cat_6(A) =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_cat_7(D, A, B, C) =>  ( (! [E] :  (m1_cat_7(E, A, B, C) => D=E) )  =>  (k1_cat_7(A, B, C)=k1_xboole_0 | k1_cat_7(A, B, C)=k1_tarski(D)) ) ) ) ) ) ) ) ) ) ).
fof(t8_cat_8, axiom,  (! [A] :  (! [B] :  (l1_cat_6(B) =>  ( (u1_struct_0(B)=k1_tarski(A) & u1_cat_6(B)=k1_tarski(k4_tarski(k4_tarski(A, A), A)))  =>  ( ~ (v2_struct_0(B))  &  (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) ) ) ) ) ) ) ).
fof(t9_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v9_cat_7(C, A, B) => v3_funct_2(C, u1_struct_0(A), u1_struct_0(B))) ) ) ) ) ) ) ).
fof(t10_cat_8, axiom,  (! [A] :  ( (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (! [B] :  ( (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) )  =>  (! [C] :  ( (v9_cat_6(C) &  (v10_cat_6(C) & l1_cat_6(C)) )  =>  ( (r2_cat_6(A, B) & r2_cat_6(B, C))  => r2_cat_6(A, C)) ) ) ) ) ) ) ).
fof(t11_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (r2_cat_6(A, B) =>  (v2_struct_0(A) <=> v2_struct_0(B)) ) ) ) ) ) ).
fof(t12_cat_8, axiom,  (! [A] :  ( (v10_cat_6(A) & l1_cat_6(A))  =>  (! [B] :  ( (v10_cat_6(B) & l1_cat_6(B))  =>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ( (v16_cat_6(D, A, B) & v11_cat_6(C, A))  => v11_cat_6(k9_cat_6(A, B, D, C), B)) ) ) ) ) ) ) ) ) ).
fof(t13_cat_8, axiom,  (! [A] :  ( (v10_cat_6(A) & l1_cat_6(A))  =>  (! [B] :  ( (v10_cat_6(B) & l1_cat_6(B))  =>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k1_cat_6(A)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ( (v16_cat_6(E, A, B) & r1_cat_6(A, C, D))  =>  (r1_cat_6(B, k9_cat_6(A, B, E, C), k9_cat_6(A, B, E, D)) & k9_cat_6(A, B, E, k2_cat_6(A, C, D))=k2_cat_6(B, k9_cat_6(A, B, E, C), k9_cat_6(A, B, E, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_cat_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_cat_6(k18_cat_6(A))) =>  (B=C =>  (k6_cat_6(k18_cat_6(A), C)=k4_cat_1(A, k3_graph_1(A, B)) & k7_cat_6(k18_cat_6(A), C)=k4_cat_1(A, k4_graph_1(A, B))) ) ) ) ) ) ) ) ).
fof(t15_cat_8, axiom,  (? [A] :  (m1_subset_1(A, k1_cat_6(k6_cat_7(1))) &  (v11_cat_6(A, k6_cat_7(1)) &  (k5_cat_6(k6_cat_7(1))=k1_tarski(A) & k1_cat_6(k6_cat_7(1))=k1_tarski(A)) ) ) ) ).
fof(t16_cat_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  (r2_relset_1(u1_struct_0(k6_cat_7(2)), u1_struct_0(A), k7_cat_7(A, B), k7_cat_7(A, C)) => B=C) ) ) ) ) ) ) ).
fof(t17_cat_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k6_cat_7(2)), u1_struct_0(A)) &  (v16_cat_6(B, k6_cat_7(2), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_cat_7(2)), u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k6_cat_7(2)), u1_struct_0(A)) &  (v16_cat_6(C, k6_cat_7(2), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_cat_7(2)), u1_struct_0(A))))) ) )  =>  (! [D] :  (m1_subset_1(D, k1_cat_6(k6_cat_7(2))) =>  (k9_cat_6(k6_cat_7(2), A, B, D)=k9_cat_6(k6_cat_7(2), A, C, D) =>  (v11_cat_6(D, k6_cat_7(2)) | r2_relset_1(u1_struct_0(k6_cat_7(2)), u1_struct_0(A), B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t18_cat_8, axiom,  (? [A] :  (m1_subset_1(A, k1_cat_6(k6_cat_7(3))) &  (? [B] :  (m1_subset_1(B, k1_cat_6(k6_cat_7(3))) &  ( ~ (v11_cat_6(A, k6_cat_7(3)))  &  ( ~ (v11_cat_6(B, k6_cat_7(3)))  &  (k7_cat_6(k6_cat_7(3), A)=k6_cat_6(k6_cat_7(3), B) &  (k5_cat_6(k6_cat_7(3))=k1_enumset1(k6_cat_6(k6_cat_7(3), A), k7_cat_6(k6_cat_7(3), A), k7_cat_6(k6_cat_7(3), B)) &  (k1_cat_6(k6_cat_7(3))=k4_enumset1(k6_cat_6(k6_cat_7(3), A), k7_cat_6(k6_cat_7(3), A), k7_cat_6(k6_cat_7(3), B), A, B, k2_cat_6(k6_cat_7(3), B, A)) & r4_zfmisc_1(k6_cat_6(k6_cat_7(3), A), k7_cat_6(k6_cat_7(3), A), k7_cat_6(k6_cat_7(3), B), A, B, k2_cat_6(k6_cat_7(3), B, A))) ) ) ) ) ) ) ) ) ).
fof(d1_cat_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  (r1_cat_6(A, B, C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k6_cat_7(3)), u1_struct_0(A)) &  (v16_cat_6(D, k6_cat_7(3), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_cat_7(3)), u1_struct_0(A))))) ) )  =>  (D=k1_cat_8(A, B, C) <=>  (! [E] :  (m1_subset_1(E, k1_cat_6(k6_cat_7(3))) =>  (! [F] :  (m1_subset_1(F, k1_cat_6(k6_cat_7(3))) =>  (r1_cat_6(k6_cat_7(3), E, F) =>  (v11_cat_6(E, k6_cat_7(3)) |  (v11_cat_6(F, k6_cat_7(3)) |  (k9_cat_6(k6_cat_7(3), A, D, E)=B & k9_cat_6(k6_cat_7(3), A, D, F)=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_cat_8, axiom,  (! [A] :  (l1_cat_6(A) =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (v1_cat_8(B, A) <=>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  ( ~ (k1_cat_7(A, C, B)=k1_xboole_0)  &  (? [D] :  (m1_cat_7(D, A, C, B) &  (! [E] :  (m1_cat_7(E, A, C, B) => D=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_cat_8, axiom,  (! [A] :  (l1_cat_6(A) =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (v1_cat_8(B, A) <=>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (? [D] :  (m1_cat_7(D, A, C, B) & k1_cat_7(A, C, B)=k1_tarski(D)) ) ) ) ) ) ) ) ) ).
fof(t20_cat_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (v1_cat_8(B, A) =>  (! [C] :  (m1_cat_7(C, A, B, B) => k3_cat_7(A, B)=C) ) ) ) ) ) ) ).
fof(t21_cat_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  ( (v1_cat_8(B, A) & v1_cat_8(C, A))  => r1_cat_7(A, B, C)) ) ) ) ) ) ) ).
fof(t22_cat_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  ( (v1_cat_8(C, A) & r1_cat_7(A, B, C))  => v1_cat_8(B, A)) ) ) ) ) ) ) ).
fof(t23_cat_8, axiom,  (! [A] :  ( (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_cat_7(D, A, B, C) =>  (v1_cat_8(B, A) =>  (k1_cat_7(A, B, C)=k1_xboole_0 | v1_cat_7(D, A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(d3_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (v2_cat_8(A) <=>  (? [B] :  (m1_subset_1(B, k5_cat_6(A)) & v1_cat_8(B, A)) ) ) ) ) ).
fof(t24_cat_8, axiom, v2_cat_8(k6_cat_7(1))).
fof(d4_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (v3_cat_8(A) <=>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  &  (v16_cat_6(C, B, A) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (v16_cat_6(D, B, A) => r2_relset_1(u1_struct_0(B), u1_struct_0(A), C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) &  (v3_cat_8(A) & l1_cat_6(A)) ) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) &  (v3_cat_8(B) & l1_cat_6(B)) ) ) )  => r2_cat_6(A, B)) ) ) ) ).
fof(t26_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  ( (v3_cat_8(A) & r2_cat_6(A, B))  => v3_cat_8(B)) ) ) ) ) ).
fof(t27_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  ( ( ~ (v2_struct_0(A))  & v7_struct_0(A))  <=> r2_cat_6(A, k6_cat_7(1))) ) ) ).
fof(t28_cat_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) ) )  =>  ( (v7_struct_0(A) & v7_struct_0(B))  => r2_cat_6(A, B)) ) ) ) ) ).
fof(d5_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k6_cat_7(1))) &  (v16_cat_6(B, A, k6_cat_7(1)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k6_cat_7(1)))))) ) )  => B=k2_cat_8(A)) ) ) ) ).
fof(t29_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  ( (v8_cat_6(C) &  (v9_cat_6(C) &  (v10_cat_6(C) & l1_cat_6(C)) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C))))) )  =>  ( (v16_cat_6(D, A, B) & v16_cat_6(E, A, C))  => r2_relset_1(u1_struct_0(A), u1_struct_0(k6_cat_7(1)), k11_cat_6(A, B, k6_cat_7(1), D, k2_cat_8(B)), k11_cat_6(A, C, k6_cat_7(1), E, k2_cat_8(C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_cat_8, axiom,  (! [A] :  (l1_cat_6(A) =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (v4_cat_8(B, A) <=>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  ( ~ (k1_cat_7(A, B, C)=k1_xboole_0)  &  (? [D] :  (m1_cat_7(D, A, B, C) &  (! [E] :  (m1_cat_7(E, A, B, C) => D=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_cat_8, axiom,  (! [A] :  (l1_cat_6(A) =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (v4_cat_8(B, A) <=>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (? [D] :  (m1_cat_7(D, A, B, C) & k1_cat_7(A, B, C)=k1_tarski(D)) ) ) ) ) ) ) ) ) ).
fof(t31_cat_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (v4_cat_8(B, A) =>  (! [C] :  (m1_cat_7(C, A, B, B) => k3_cat_7(A, B)=C) ) ) ) ) ) ) ).
fof(t32_cat_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  ( (v4_cat_8(B, A) & v4_cat_8(C, A))  => r1_cat_7(A, B, C)) ) ) ) ) ) ) ).
fof(t33_cat_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  ( (v4_cat_8(C, A) & r1_cat_7(A, C, B))  => v4_cat_8(B, A)) ) ) ) ) ) ) ).
fof(t34_cat_8, axiom,  (! [A] :  ( (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_cat_7(D, A, B, C) =>  (v4_cat_8(C, A) =>  (k1_cat_7(A, B, C)=k1_xboole_0 | v2_cat_7(D, A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(d7_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (v5_cat_8(A) <=>  (? [B] :  (m1_subset_1(B, k5_cat_6(A)) & v4_cat_8(B, A)) ) ) ) ) ).
fof(t35_cat_8, axiom, v5_cat_8(k6_cat_7(1))).
fof(d8_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (v6_cat_8(A) <=>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  &  (v16_cat_6(C, A, B) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v16_cat_6(D, A, B) => r2_relset_1(u1_struct_0(A), u1_struct_0(B), C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) &  (v6_cat_8(A) & l1_cat_6(A)) ) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) &  (v6_cat_8(B) & l1_cat_6(B)) ) ) )  => r2_cat_6(A, B)) ) ) ) ).
fof(t37_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  ( (v6_cat_8(A) & r2_cat_6(A, B))  => v6_cat_8(B)) ) ) ) ) ).
fof(d9_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k6_cat_7(k5_numbers)), u1_struct_0(A)) &  (v16_cat_6(B, k6_cat_7(k5_numbers), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_cat_7(k5_numbers)), u1_struct_0(A))))) ) )  => B=k3_cat_8(A)) ) ) ) ).
fof(t38_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  ( (v8_cat_6(C) &  (v9_cat_6(C) &  (v10_cat_6(C) & l1_cat_6(C)) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) )  =>  ( (v16_cat_6(D, B, A) & v16_cat_6(E, C, A))  => r2_relset_1(u1_struct_0(k6_cat_7(k5_numbers)), u1_struct_0(A), k11_cat_6(k6_cat_7(k5_numbers), B, A, k3_cat_8(B), D), k11_cat_6(k6_cat_7(k5_numbers), C, A, k3_cat_8(C), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k5_cat_6(A)) =>  (! [E] :  (m1_cat_7(E, A, D, B) =>  ( ~ (k1_cat_7(A, D, B)=k1_xboole_0)  =>  (! [F] :  (m1_cat_7(F, A, D, C) =>  ( ~ (k1_cat_7(A, D, C)=k1_xboole_0)  =>  (r1_cat_8(A, B, C, D, E, F) <=>  (! [G] :  (m1_subset_1(G, k5_cat_6(A)) =>  (! [H] :  (m1_cat_7(H, A, G, B) =>  (! [I] :  (m1_cat_7(I, A, G, C) =>  ~ ( ( ~ (k1_cat_7(A, G, B)=k1_xboole_0)  &  ( ~ (k1_cat_7(A, G, C)=k1_xboole_0)  &  ~ ( ( ~ (k1_cat_7(A, G, D)=k1_xboole_0)  &  (? [J] :  (m1_cat_7(J, A, G, D) &  (k4_cat_7(A, G, D, B, J, E)=H &  (k4_cat_7(A, G, D, C, J, F)=I &  (! [K] :  (m1_cat_7(K, A, G, D) =>  ( (k4_cat_7(A, G, D, B, K, E)=H & k4_cat_7(A, G, D, C, K, F)=I)  => J=K) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_cat_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k5_cat_6(A)) =>  (! [E] :  (m1_subset_1(E, k5_cat_6(A)) =>  (! [F] :  (m1_cat_7(F, A, D, B) =>  (! [G] :  (m1_cat_7(G, A, D, C) =>  (! [H] :  (m1_cat_7(H, A, E, B) =>  (! [I] :  (m1_cat_7(I, A, E, C) =>  ( (r1_cat_8(A, B, C, D, F, G) & r1_cat_8(A, B, C, E, H, I))  =>  (k2_cat_7(A, D, B)=k1_xboole_0 |  (k2_cat_7(A, D, C)=k1_xboole_0 |  (k2_cat_7(A, E, B)=k1_xboole_0 |  (k2_cat_7(A, E, C)=k1_xboole_0 | r1_cat_7(A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k5_cat_6(A)) =>  (! [E] :  (m1_cat_7(E, A, D, B) =>  (! [F] :  (m1_cat_7(F, A, D, C) =>  (r1_cat_8(A, B, C, D, E, F) =>  (k1_cat_7(A, D, B)=k1_xboole_0 |  (k1_cat_7(A, D, C)=k1_xboole_0 | r1_cat_8(A, C, B, D, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (v7_cat_8(A) <=>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (? [D] :  (m1_subset_1(D, k5_cat_6(A)) &  (? [E] :  (m1_cat_7(E, A, D, B) &  (? [F] :  (m1_cat_7(F, A, D, C) &  ( ~ (k1_cat_7(A, D, B)=k1_xboole_0)  &  ( ~ (k1_cat_7(A, D, C)=k1_xboole_0)  & r1_cat_8(A, B, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_cat_8, axiom, v7_cat_8(k6_cat_7(1))).
fof(d12_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) &  (v7_cat_8(A) & l1_cat_6(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (v2_xtuple_0(D) =>  (m1_cat_8(D, A, B, C) <=>  (? [E] :  (m1_subset_1(E, k5_cat_6(A)) &  (? [F] :  (m1_cat_7(F, A, E, B) &  (? [G] :  (m1_cat_7(G, A, E, C) &  (D=k3_xtuple_0(E, F, G) &  ( ~ (k1_cat_7(A, E, B)=k1_xboole_0)  &  ( ~ (k1_cat_7(A, E, C)=k1_xboole_0)  & r1_cat_8(A, B, C, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) &  (v7_cat_8(A) & l1_cat_6(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (r1_cat_8(A, B, C, k4_cat_8(A, B, C), k5_cat_8(A, B, C), k6_cat_8(A, B, C)) &  ( ~ (k1_cat_7(A, k4_cat_8(A, B, C), B)=k1_xboole_0)  &  ~ (k1_cat_7(A, k4_cat_8(A, B, C), C)=k1_xboole_0) ) ) ) ) ) ) ) ) ).
fof(t43_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) &  (v7_cat_8(A) & l1_cat_6(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k5_cat_6(A)) =>  ~ ( ( ~ (k1_cat_7(A, D, B)=k1_xboole_0)  &  ( ~ (k1_cat_7(A, D, C)=k1_xboole_0)  & k1_cat_7(A, D, k4_cat_8(A, B, C))=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) &  (v7_cat_8(A) & l1_cat_6(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k5_cat_6(A)) =>  (! [E] :  (m1_subset_1(E, k5_cat_6(A)) =>  ~ ( ( ~ (k1_cat_7(A, B, C)=k1_xboole_0)  &  ( ~ (k1_cat_7(A, D, E)=k1_xboole_0)  & k1_cat_7(A, k4_cat_8(A, B, D), k4_cat_8(A, C, E))=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) &  (v7_cat_8(A) & l1_cat_6(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k5_cat_6(A)) =>  (! [E] :  (m1_subset_1(E, k5_cat_6(A)) =>  (! [F] :  (m1_cat_7(F, A, B, C) =>  ( ~ (k1_cat_7(A, B, C)=k1_xboole_0)  =>  (! [G] :  (m1_cat_7(G, A, D, E) =>  ( ~ (k1_cat_7(A, D, E)=k1_xboole_0)  =>  (! [H] :  (m1_cat_7(H, A, k4_cat_8(A, B, D), k4_cat_8(A, C, E)) =>  (H=k7_cat_8(A, B, C, D, E, F, G) <=>  (k4_cat_7(A, k4_cat_8(A, B, D), B, C, k5_cat_8(A, B, D), F)=k4_cat_7(A, k4_cat_8(A, B, D), k4_cat_8(A, C, E), C, H, k5_cat_8(A, C, E)) & k4_cat_7(A, k4_cat_8(A, B, D), D, E, k6_cat_8(A, B, D), G)=k4_cat_7(A, k4_cat_8(A, B, D), k4_cat_8(A, C, E), E, H, k6_cat_8(A, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  ( (v8_cat_6(C) &  (v9_cat_6(C) &  (v10_cat_6(C) & l1_cat_6(C)) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(C), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) )  =>  (v16_cat_6(D, C, A) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(B))))) )  =>  (v16_cat_6(E, C, B) =>  (r2_cat_8(A, B, C, D, E) <=>  (! [F] :  ( (v8_cat_6(F) &  (v9_cat_6(F) &  (v10_cat_6(F) & l1_cat_6(F)) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(F), u1_struct_0(A)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(F), u1_struct_0(A))))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(F), u1_struct_0(B)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(F), u1_struct_0(B))))) )  =>  ~ ( (v16_cat_6(G, F, A) &  (v16_cat_6(H, F, B) &  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(F), u1_struct_0(C)) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(F), u1_struct_0(C))))) )  =>  ~ ( (v16_cat_6(I, F, C) &  (r2_relset_1(u1_struct_0(F), u1_struct_0(A), k11_cat_6(F, C, A, I, D), G) &  (r2_relset_1(u1_struct_0(F), u1_struct_0(B), k11_cat_6(F, C, B, I, E), H) &  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(F), u1_struct_0(C)) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(F), u1_struct_0(C))))) )  =>  ( (v16_cat_6(J, F, C) &  (r2_relset_1(u1_struct_0(F), u1_struct_0(A), k11_cat_6(F, C, A, J, D), G) & r2_relset_1(u1_struct_0(F), u1_struct_0(B), k11_cat_6(F, C, B, J, E), H)) )  => r2_relset_1(u1_struct_0(F), u1_struct_0(C), I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  ( (v8_cat_6(C) &  (v9_cat_6(C) &  (v10_cat_6(C) & l1_cat_6(C)) ) )  =>  (! [D] :  ( (v8_cat_6(D) &  (v9_cat_6(D) &  (v10_cat_6(D) & l1_cat_6(D)) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(C), u1_struct_0(B)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(B))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(D), u1_struct_0(A)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(A))))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(D), u1_struct_0(B)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(B))))) )  =>  ( (v16_cat_6(E, C, A) &  (v16_cat_6(F, C, B) &  (v16_cat_6(G, D, A) &  (v16_cat_6(H, D, B) &  (r2_cat_8(A, B, C, E, F) & r2_cat_8(A, B, D, G, H)) ) ) ) )  => r2_cat_6(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  ( (v8_cat_6(C) &  (v9_cat_6(C) &  (v10_cat_6(C) & l1_cat_6(C)) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(C), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(B))))) )  =>  ( (v16_cat_6(D, C, A) &  (v16_cat_6(E, C, B) & r2_cat_8(A, B, C, D, E)) )  => r2_cat_8(B, A, C, E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  => r2_cat_8(A, B, k8_cat_7(k6_cat_7(1), A, B, k2_cat_8(A), k2_cat_8(B)), k9_cat_7(k6_cat_7(1), A, B, k2_cat_8(A), k2_cat_8(B)), k10_cat_7(k6_cat_7(1), A, B, k2_cat_8(A), k2_cat_8(B)))) ) ) ) ).
fof(d18_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  (v2_xtuple_0(C) =>  (m2_cat_8(C, A, B) <=>  (? [D] :  ( (v1_cat_6(D) &  (v8_cat_6(D) &  (v9_cat_6(D) &  (v10_cat_6(D) & l1_cat_6(D)) ) ) )  &  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(D), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(A))))) )  &  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(D), u1_struct_0(B)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(B))))) )  &  (C=k3_xtuple_0(D, E, F) &  (v16_cat_6(E, D, A) &  (v16_cat_6(F, D, B) & r2_cat_8(A, B, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  => r2_cat_8(A, B, k8_cat_8(A, B), k9_cat_8(A, B), k10_cat_8(A, B))) ) ) ) ).
fof(t49_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  ( ~ (v2_struct_0(k8_cat_8(A, B)))  <=>  ( ~ (v2_struct_0(A))  &  ~ (v2_struct_0(B)) ) ) ) ) ) ) ).
fof(d22_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  ( (v8_cat_6(C) &  (v9_cat_6(C) &  (v10_cat_6(C) & l1_cat_6(C)) ) )  =>  (! [D] :  ( (v8_cat_6(D) &  (v9_cat_6(D) &  (v10_cat_6(D) & l1_cat_6(D)) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(B), u1_struct_0(D)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(D))))) )  =>  ( (v16_cat_6(E, A, C) & v16_cat_6(F, B, D))  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(k8_cat_8(A, B)), u1_struct_0(k8_cat_8(C, D))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k8_cat_8(A, B)), u1_struct_0(k8_cat_8(C, D)))))) )  =>  (G=k11_cat_8(A, B, C, D, E, F) <=>  (v16_cat_6(G, k8_cat_8(A, B), k8_cat_8(C, D)) &  (r2_relset_1(u1_struct_0(k8_cat_8(A, B)), u1_struct_0(C), k11_cat_6(k8_cat_8(A, B), A, C, k9_cat_8(A, B), E), k11_cat_6(k8_cat_8(A, B), k8_cat_8(C, D), C, G, k9_cat_8(C, D))) & r2_relset_1(u1_struct_0(k8_cat_8(A, B)), u1_struct_0(D), k11_cat_6(k8_cat_8(A, B), B, D, k10_cat_8(A, B), F), k11_cat_6(k8_cat_8(A, B), k8_cat_8(C, D), D, G, k10_cat_8(C, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  ( (v8_cat_6(C) &  (v9_cat_6(C) &  (v10_cat_6(C) & l1_cat_6(C)) ) )  =>  (! [D] :  ( (v8_cat_6(D) &  (v9_cat_6(D) &  (v10_cat_6(D) & l1_cat_6(D)) ) )  =>  (! [E] :  ( (v8_cat_6(E) &  (v9_cat_6(E) &  (v10_cat_6(E) & l1_cat_6(E)) ) )  =>  (! [F] :  ( (v8_cat_6(F) &  (v9_cat_6(F) &  (v10_cat_6(F) & l1_cat_6(F)) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(A), u1_struct_0(C)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C))))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(B), u1_struct_0(D)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(D))))) )  =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(C), u1_struct_0(E)) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(E))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(D), u1_struct_0(F)) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(F))))) )  =>  ( (v16_cat_6(G, A, C) &  (v16_cat_6(I, C, E) &  (v16_cat_6(H, B, D) & v16_cat_6(J, D, F)) ) )  => r2_relset_1(u1_struct_0(k8_cat_8(A, B)), u1_struct_0(k8_cat_8(E, F)), k11_cat_6(k8_cat_8(A, B), k8_cat_8(C, D), k8_cat_8(E, F), k11_cat_8(A, B, C, D, G, H), k11_cat_8(C, D, E, F, I, J)), k11_cat_8(A, B, E, F, k11_cat_6(A, C, E, G, I), k11_cat_6(B, D, F, H, J)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  => r2_relset_1(u1_struct_0(k8_cat_8(A, B)), u1_struct_0(k8_cat_8(A, B)), k11_cat_8(A, B, A, B, k12_cat_6(A), k12_cat_6(B)), k12_cat_6(k8_cat_8(A, B)))) ) ) ) ).
fof(t52_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_cat_6(k8_cat_8(A, B))) =>  (? [D] :  (m1_subset_1(D, k1_cat_6(A)) &  (? [E] :  (m1_subset_1(E, k1_cat_6(B)) & C=k12_cat_8(A, B, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(t53_cat_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k1_cat_6(A)) =>  (! [E] :  (m1_subset_1(E, k1_cat_6(B)) =>  (! [F] :  (m1_subset_1(F, k1_cat_6(B)) =>  (k12_cat_8(A, B, C, E)=k12_cat_8(A, B, D, F) =>  (C=D & E=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k1_cat_6(A)) =>  (! [E] :  (m1_subset_1(E, k1_cat_6(B)) =>  (! [F] :  (m1_subset_1(F, k1_cat_6(B)) =>  (r1_cat_6(k8_cat_8(A, B), k12_cat_8(A, B, C, E), k12_cat_8(A, B, D, F)) <=>  (r1_cat_6(A, C, D) & r1_cat_6(B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k1_cat_6(A)) =>  (! [E] :  (m1_subset_1(E, k1_cat_6(B)) =>  (! [F] :  (m1_subset_1(F, k1_cat_6(B)) =>  ( (r1_cat_6(A, C, D) & r1_cat_6(B, E, F))  => k2_cat_6(k8_cat_8(A, B), k12_cat_8(A, B, C, E), k12_cat_8(A, B, D, F))=k12_cat_8(A, B, k2_cat_6(A, C, D), k2_cat_6(B, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k1_cat_6(B)) =>  (! [E] :  (m1_subset_1(E, k1_cat_6(k8_cat_8(A, B))) =>  (E=k12_cat_8(A, B, C, D) =>  (v2_struct_0(A) |  (v2_struct_0(B) |  (v11_cat_6(E, k8_cat_8(A, B)) <=>  (v11_cat_6(C, A) & v11_cat_6(D, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_cat_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) ) )  =>  (! [C] :  ( (v8_cat_6(C) &  (v9_cat_6(C) &  (v10_cat_6(C) & l1_cat_6(C)) ) )  =>  (! [D] :  ( (v8_cat_6(D) &  (v9_cat_6(D) &  (v10_cat_6(D) & l1_cat_6(D)) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(B), u1_struct_0(D)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(D))))) )  =>  (! [G] :  (m1_subset_1(G, k1_cat_6(A)) =>  (! [H] :  (m1_subset_1(H, k1_cat_6(B)) =>  ( (v16_cat_6(E, A, C) & v16_cat_6(F, B, D))  => k9_cat_6(k8_cat_8(A, B), k8_cat_8(C, D), k11_cat_8(A, B, C, D, E, F), k12_cat_8(A, B, G, H))=k12_cat_8(C, D, k9_cat_6(A, C, E, G), k9_cat_6(B, D, F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d24_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (r3_cat_8(A, B, C, D, E) <=>  (! [F] :  (m1_subset_1(F, k1_cat_6(A)) =>  (! [G] :  (m1_subset_1(G, k1_cat_6(A)) =>  (r1_cat_6(A, F, G) =>  (r1_cat_6(B, k9_cat_6(A, B, E, F), k9_cat_6(A, B, C, G)) &  (r1_cat_6(B, k9_cat_6(A, B, D, F), k9_cat_6(A, B, E, G)) &  (k9_cat_6(A, B, E, k2_cat_6(A, F, G))=k2_cat_6(B, k9_cat_6(A, B, E, F), k9_cat_6(A, B, C, G)) & k9_cat_6(A, B, E, k2_cat_6(A, F, G))=k2_cat_6(B, k9_cat_6(A, B, D, F), k9_cat_6(A, B, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ( (v16_cat_6(C, A, B) & v16_cat_6(D, A, B))  =>  (r3_cat_8(A, B, C, D, E) <=>  (! [F] :  (m1_subset_1(F, k1_cat_6(A)) =>  (! [G] :  (m1_subset_1(G, k1_cat_6(A)) =>  (! [H] :  (m1_subset_1(H, k1_cat_6(A)) =>  ( (v11_cat_6(G, A) &  (v11_cat_6(H, A) &  (r1_cat_6(A, G, F) & r1_cat_6(A, F, H)) ) )  =>  (r1_cat_6(B, k9_cat_6(A, B, E, G), k9_cat_6(A, B, C, F)) &  (r1_cat_6(B, k9_cat_6(A, B, D, F), k9_cat_6(A, B, E, H)) &  (k9_cat_6(A, B, E, F)=k2_cat_6(B, k9_cat_6(A, B, E, G), k9_cat_6(A, B, C, F)) & k9_cat_6(A, B, E, F)=k2_cat_6(B, k9_cat_6(A, B, D, F), k9_cat_6(A, B, E, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_cat_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v16_cat_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v16_cat_6(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k5_cat_6(A), k1_cat_6(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k5_cat_6(A), k1_cat_6(B))))) )  =>  ( (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  &  (E=k5_relset_1(u1_struct_0(A), u1_struct_0(B), F, k5_cat_6(A)) & r3_cat_8(A, B, C, D, F)) ) )  <=>  ( (! [F] :  (m1_subset_1(F, k5_cat_6(A)) => r2_tarski(k3_funct_2(k5_cat_6(A), k1_cat_6(B), E, F), k2_cat_7(B, k10_cat_6(A, B, C, F), k10_cat_6(A, B, D, F)))) )  &  (! [F] :  (m1_subset_1(F, k5_cat_6(A)) =>  (! [G] :  (m1_subset_1(G, k5_cat_6(A)) =>  (! [H] :  (m1_cat_7(H, A, F, G) =>  ( ~ (k2_cat_7(A, F, G)=k1_xboole_0)  => k2_cat_6(B, k3_funct_2(k5_cat_6(A), k1_cat_6(B), E, G), k9_cat_6(A, B, C, H))=k2_cat_6(B, k9_cat_6(A, B, D, H), k3_funct_2(k5_cat_6(A), k1_cat_6(B), E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_cat_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k18_cat_6(A)), u1_struct_0(k18_cat_6(B))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k18_cat_6(A)), u1_struct_0(k18_cat_6(B)))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k18_cat_6(A)), u1_struct_0(k18_cat_6(B))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k18_cat_6(A)), u1_struct_0(k18_cat_6(B)))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(k18_cat_6(A)), u1_struct_0(k18_cat_6(B))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k18_cat_6(A)), u1_struct_0(k18_cat_6(B)))))) )  =>  ( (r1_funct_2(u4_struct_0(A), u4_struct_0(B), u1_struct_0(k18_cat_6(A)), u1_struct_0(k18_cat_6(B)), C, E) &  (r1_funct_2(u4_struct_0(A), u4_struct_0(B), u1_struct_0(k18_cat_6(A)), u1_struct_0(k18_cat_6(B)), D, F) & r3_cat_8(k18_cat_6(A), k18_cat_6(B), E, F, G)) )  => m2_nattra_1(k4_relset_1(u1_struct_0(A), u4_struct_0(A), u1_struct_0(k18_cat_6(A)), u1_struct_0(k18_cat_6(B)), k7_isocat_1(A), G), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d25_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (r4_cat_8(A, B, C, D) <=>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  & r3_cat_8(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d26_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (r4_cat_8(A, B, C, D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (m3_cat_8(E, A, B, C, D) <=> r3_cat_8(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v16_cat_6(C, A, B) => r3_cat_8(A, B, C, C, C)) ) ) ) ) ) ) ).
fof(d27_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ( (r4_cat_8(A, B, D, C) &  (r4_cat_8(A, B, C, E) &  (v16_cat_6(C, A, B) &  (v16_cat_6(D, A, B) & v16_cat_6(E, A, B)) ) ) )  =>  (! [F] :  (m3_cat_8(F, A, B, D, C) =>  (! [G] :  (m3_cat_8(G, A, B, C, E) =>  (! [H] :  (m3_cat_8(H, A, B, D, E) =>  (H=k13_cat_8(A, B, C, D, E, F, G) <=>  (! [I] :  (m1_subset_1(I, k1_cat_6(A)) =>  (! [J] :  (m1_subset_1(J, k1_cat_6(A)) =>  (! [K] :  (m1_subset_1(K, k1_cat_6(A)) =>  ( (v11_cat_6(J, A) &  (v11_cat_6(K, A) &  (r1_cat_6(A, I, J) & r1_cat_6(A, K, I)) ) )  => k9_cat_6(A, B, H, I)=k2_cat_6(B, k2_cat_6(B, k9_cat_6(A, B, G, K), k9_cat_6(A, B, C, I)), k9_cat_6(A, B, F, J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ( (r4_cat_8(A, B, D, C) &  (r4_cat_8(A, B, C, E) &  (v16_cat_6(C, A, B) &  (v16_cat_6(D, A, B) & v16_cat_6(E, A, B)) ) ) )  => r4_cat_8(A, B, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_cat_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_cat_6(k14_cat_8(A, B))) =>  (! [D] :  (m1_subset_1(D, k1_cat_6(k14_cat_8(A, B))) =>  (r1_cat_6(k14_cat_8(A, B), C, D) <=>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) &  (v16_cat_6(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  &  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(A), u1_struct_0(B)) &  (v16_cat_6(F, A, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  &  (? [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(A), u1_struct_0(B)) &  (v16_cat_6(G, A, B) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  &  (? [H] :  (m3_cat_8(H, A, B, F, E) &  (? [I] :  (m3_cat_8(I, A, B, E, G) &  (C=k4_tarski(k4_tarski(E, G), I) &  (D=k4_tarski(k4_tarski(F, E), H) &  (k2_cat_6(k14_cat_8(A, B), C, D)=k4_tarski(k4_tarski(F, G), k13_cat_8(A, B, E, F, G, H, I)) &  (! [J] :  (m1_subset_1(J, k1_cat_6(A)) =>  (! [K] :  (m1_subset_1(K, k1_cat_6(A)) =>  (r1_cat_6(A, K, J) =>  (r1_cat_6(B, k9_cat_6(A, B, I, K), k9_cat_6(A, B, H, J)) & k9_cat_6(A, B, k13_cat_8(A, B, E, F, G, H, I), k2_cat_6(A, K, J))=k2_cat_6(B, k9_cat_6(A, B, I, K), k9_cat_6(A, B, H, J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_cat_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_cat_6(k14_cat_8(A, B))) =>  (v11_cat_6(C, k14_cat_8(A, B)) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v16_cat_6(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  & C=k4_tarski(k4_tarski(D, D), D)) ) ) ) ) ) ) ) ) ).
fof(t65_cat_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_cat_6(k14_cat_8(A, B))) =>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v16_cat_6(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  &  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) &  (v16_cat_6(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  &  (? [F] :  (m3_cat_8(F, A, B, D, E) &  (C=k4_tarski(k4_tarski(D, E), F) &  (k6_cat_6(k14_cat_8(A, B), C)=k4_tarski(k4_tarski(D, D), D) & k7_cat_6(k14_cat_8(A, B), C)=k4_tarski(k4_tarski(E, E), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d29_cat_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) &  (v7_cat_8(A) & l1_cat_6(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k5_cat_6(A)) =>  (! [E] :  (m1_cat_7(E, A, k4_cat_8(A, D, B), C) =>  ( ~ (k2_cat_7(A, k4_cat_8(A, D, B), C)=k1_xboole_0)  =>  (r5_cat_8(A, B, C, D, E) <=>  (! [F] :  (m1_subset_1(F, k5_cat_6(A)) =>  (! [G] :  (m1_cat_7(G, A, k4_cat_8(A, F, B), C) =>  ( ~ (k2_cat_7(A, k4_cat_8(A, F, B), C)=k1_xboole_0)  =>  ( ~ (k2_cat_7(A, F, D)=k1_xboole_0)  &  (? [H] :  (m1_cat_7(H, A, F, D) &  (G=k4_cat_7(A, k4_cat_8(A, F, B), k4_cat_8(A, D, B), C, k7_cat_8(A, F, D, B, B, H, k3_cat_7(A, B)), E) &  (! [I] :  (m1_cat_7(I, A, F, D) =>  (G=k4_cat_7(A, k4_cat_8(A, F, B), k4_cat_8(A, D, B), C, k7_cat_8(A, F, D, B, B, I, k3_cat_7(A, B)), E) => H=I) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) &  (v7_cat_8(A) & l1_cat_6(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k5_cat_6(A)) =>  (! [E] :  (m1_subset_1(E, k5_cat_6(A)) =>  (! [F] :  (m1_subset_1(F, k5_cat_6(A)) =>  (! [G] :  (m1_subset_1(G, k5_cat_6(A)) =>  (! [H] :  (m1_cat_7(H, A, B, D) =>  (! [I] :  (m1_cat_7(I, A, C, E) =>  (! [J] :  (m1_cat_7(J, A, D, F) =>  (! [K] :  (m1_cat_7(K, A, E, G) =>  ~ ( ( ~ (k1_cat_7(A, B, D)=k1_xboole_0)  &  ( ~ (k1_cat_7(A, D, F)=k1_xboole_0)  &  ( ~ (k1_cat_7(A, C, E)=k1_xboole_0)  &  ( ~ (k1_cat_7(A, E, G)=k1_xboole_0)  &  ~ (k4_cat_7(A, k4_cat_8(A, B, C), k4_cat_8(A, D, E), k4_cat_8(A, F, G), k7_cat_8(A, B, D, C, E, H, I), k7_cat_8(A, D, F, E, G, J, K))=k7_cat_8(A, B, F, C, G, k4_cat_7(A, B, D, F, H, J), k4_cat_7(A, C, E, G, I, K))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_cat_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) &  (v7_cat_8(A) & l1_cat_6(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) => k7_cat_8(A, B, B, C, C, k3_cat_7(A, B), k3_cat_7(A, C))=k3_cat_7(A, k4_cat_8(A, B, C))) ) ) ) ) ) ).
fof(t68_cat_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) &  (v7_cat_8(A) & l1_cat_6(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k5_cat_6(A)) =>  (! [E] :  (m1_subset_1(E, k5_cat_6(A)) =>  (! [F] :  (m1_cat_7(F, A, k4_cat_8(A, D, B), C) =>  (! [G] :  (m1_cat_7(G, A, k4_cat_8(A, E, B), C) =>  ( (r5_cat_8(A, B, C, D, F) & r5_cat_8(A, B, C, E, G))  =>  (k2_cat_7(A, k4_cat_8(A, D, B), C)=k1_xboole_0 |  (k2_cat_7(A, k4_cat_8(A, E, B), C)=k1_xboole_0 | r1_cat_7(A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d30_cat_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) &  (v7_cat_8(A) & l1_cat_6(A)) ) ) ) )  =>  (v8_cat_8(A) <=>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (? [D] :  (m1_subset_1(D, k5_cat_6(A)) &  (? [E] :  (m1_cat_7(E, A, k4_cat_8(A, D, B), C) &  ( ~ (k2_cat_7(A, k4_cat_8(A, D, B), C)=k1_xboole_0)  & r5_cat_8(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t69_cat_8, axiom, v8_cat_8(k6_cat_7(1))).
fof(d31_cat_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) &  (v7_cat_8(A) &  (v8_cat_8(A) & l1_cat_6(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (v1_xtuple_0(D) =>  (m4_cat_8(D, A, B, C) <=>  (? [E] :  (m1_subset_1(E, k5_cat_6(A)) &  (? [F] :  (m1_cat_7(F, A, k4_cat_8(A, E, B), C) &  (D=k4_tarski(E, F) &  ( ~ (k2_cat_7(A, k4_cat_8(A, E, B), C)=k1_xboole_0)  & r5_cat_8(A, B, C, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_cat_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) &  (v7_cat_8(A) &  (v8_cat_8(A) & l1_cat_6(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  ( ~ (k2_cat_7(A, k4_cat_8(A, k15_cat_8(A, B, C), B), C)=k1_xboole_0)  & r5_cat_8(A, B, C, k15_cat_8(A, B, C), k16_cat_8(A, B, C))) ) ) ) ) ) ) ).
fof(t71_cat_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) &  (v7_cat_8(A) &  (v8_cat_8(A) & l1_cat_6(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k5_cat_6(A)) =>  ~ ( ( ~ (k2_cat_7(A, k4_cat_8(A, D, B), C)=k1_xboole_0)  &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_cat_7(A, k4_cat_8(A, D, B), C), k2_cat_7(A, D, k15_cat_8(A, B, C))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_cat_7(A, k4_cat_8(A, D, B), C), k2_cat_7(A, D, k15_cat_8(A, B, C)))))) )  =>  ~ ( ( (! [F] :  (m1_cat_7(F, A, k4_cat_8(A, D, B), C) =>  (! [G] :  (m1_cat_7(G, A, D, k15_cat_8(A, B, C)) =>  (G=k1_funct_1(E, F) => k4_cat_7(A, k4_cat_8(A, D, B), k4_cat_8(A, k15_cat_8(A, B, C), B), C, k7_cat_8(A, D, k15_cat_8(A, B, C), B, B, G, k3_cat_7(A, B)), k16_cat_8(A, B, C))=F) ) ) ) )  & v3_funct_2(E, k2_cat_7(A, k4_cat_8(A, D, B), C), k2_cat_7(A, D, k15_cat_8(A, B, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d34_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  ( (v8_cat_6(C) &  (v9_cat_6(C) &  (v10_cat_6(C) & l1_cat_6(C)) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k8_cat_8(C, A)), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k8_cat_8(C, A)), u1_struct_0(B))))) )  =>  (v16_cat_6(D, k8_cat_8(C, A), B) =>  (r6_cat_8(A, B, C, D) <=>  (! [E] :  ( (v8_cat_6(E) &  (v9_cat_6(E) &  (v10_cat_6(E) & l1_cat_6(E)) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k8_cat_8(E, A)), u1_struct_0(B)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k8_cat_8(E, A)), u1_struct_0(B))))) )  =>  ~ ( (v16_cat_6(F, k8_cat_8(E, A), B) &  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(E), u1_struct_0(C)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E), u1_struct_0(C))))) )  =>  ~ ( (v16_cat_6(G, E, C) &  (r2_relset_1(u1_struct_0(k8_cat_8(E, A)), u1_struct_0(B), F, k11_cat_6(k8_cat_8(E, A), k8_cat_8(C, A), B, k11_cat_8(E, A, C, A, G, k12_cat_6(A)), D)) &  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(E), u1_struct_0(C)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E), u1_struct_0(C))))) )  =>  ( (v16_cat_6(H, E, C) & r2_relset_1(u1_struct_0(k8_cat_8(E, A)), u1_struct_0(B), F, k11_cat_6(k8_cat_8(E, A), k8_cat_8(C, A), B, k11_cat_8(E, A, C, A, H, k12_cat_6(A)), D)))  => r2_relset_1(u1_struct_0(E), u1_struct_0(C), G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d35_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  (v1_xtuple_0(C) =>  (m5_cat_8(C, A, B) <=>  (? [D] :  ( (v8_cat_6(D) &  (v9_cat_6(D) &  (v10_cat_6(D) & l1_cat_6(D)) ) )  &  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k8_cat_8(D, A)), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k8_cat_8(D, A)), u1_struct_0(B))))) )  &  (C=k4_tarski(D, E) &  (v16_cat_6(E, k8_cat_8(D, A), B) & r6_cat_8(A, B, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t72_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  => r6_cat_8(A, B, k17_cat_8(A, B), k18_cat_8(A, B))) ) ) ) ).
fof(t73_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  ( (v8_cat_6(C) &  (v9_cat_6(C) &  (v10_cat_6(C) & l1_cat_6(C)) ) )  =>  (! [D] :  ( (v8_cat_6(D) &  (v9_cat_6(D) &  (v10_cat_6(D) & l1_cat_6(D)) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k8_cat_8(C, A)), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k8_cat_8(C, A)), u1_struct_0(B))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k8_cat_8(D, A)), u1_struct_0(B)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k8_cat_8(D, A)), u1_struct_0(B))))) )  =>  ( (v16_cat_6(E, k8_cat_8(C, A), B) &  (v16_cat_6(F, k8_cat_8(D, A), B) &  (r6_cat_8(A, B, C, E) & r6_cat_8(A, B, D, F)) ) )  => r2_cat_6(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t74_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  => r2_cat_6(k14_cat_8(A, B), k17_cat_8(A, B))) ) ) ) ).
fof(dt_k1_cat_8, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) ) )  &  (m1_subset_1(B, k1_cat_6(A)) & m1_subset_1(C, k1_cat_6(A))) )  =>  (v1_funct_1(k1_cat_8(A, B, C)) &  (v1_funct_2(k1_cat_8(A, B, C), u1_struct_0(k6_cat_7(3)), u1_struct_0(A)) &  (v16_cat_6(k1_cat_8(A, B, C), k6_cat_7(3), A) & m1_subset_1(k1_cat_8(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_cat_7(3)), u1_struct_0(A))))) ) ) ) ) ).
fof(dt_k2_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (v1_funct_1(k2_cat_8(A)) &  (v1_funct_2(k2_cat_8(A), u1_struct_0(A), u1_struct_0(k6_cat_7(1))) &  (v16_cat_6(k2_cat_8(A), A, k6_cat_7(1)) & m1_subset_1(k2_cat_8(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k6_cat_7(1)))))) ) ) ) ) ).
fof(dt_k3_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (v1_funct_1(k3_cat_8(A)) &  (v1_funct_2(k3_cat_8(A), u1_struct_0(k6_cat_7(k5_numbers)), u1_struct_0(A)) &  (v16_cat_6(k3_cat_8(A), k6_cat_7(k5_numbers), A) & m1_subset_1(k3_cat_8(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_cat_7(k5_numbers)), u1_struct_0(A))))) ) ) ) ) ).
fof(dt_m1_cat_8, axiom,  (! [A, B, C] :  ( ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) &  (v7_cat_8(A) & l1_cat_6(A)) ) ) )  &  (m1_subset_1(B, k5_cat_6(A)) & m1_subset_1(C, k5_cat_6(A))) )  =>  (! [D] :  (m1_cat_8(D, A, B, C) => v2_xtuple_0(D)) ) ) ) ).
fof(existence_m1_cat_8, axiom,  (! [A, B, C] :  ( ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) &  (v7_cat_8(A) & l1_cat_6(A)) ) ) )  &  (m1_subset_1(B, k5_cat_6(A)) & m1_subset_1(C, k5_cat_6(A))) )  =>  (? [D] : m1_cat_8(D, A, B, C)) ) ) ).
fof(dt_k4_cat_8, axiom,  (! [A, B, C] :  ( ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) &  (v7_cat_8(A) & l1_cat_6(A)) ) ) )  &  (m1_subset_1(B, k5_cat_6(A)) & m1_subset_1(C, k5_cat_6(A))) )  => m1_subset_1(k4_cat_8(A, B, C), k5_cat_6(A))) ) ).
fof(dt_k5_cat_8, axiom,  (! [A, B, C] :  ( ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) &  (v7_cat_8(A) & l1_cat_6(A)) ) ) )  &  (m1_subset_1(B, k5_cat_6(A)) & m1_subset_1(C, k5_cat_6(A))) )  => m1_cat_7(k5_cat_8(A, B, C), A, k4_cat_8(A, B, C), B)) ) ).
fof(dt_k6_cat_8, axiom,  (! [A, B, C] :  ( ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) &  (v7_cat_8(A) & l1_cat_6(A)) ) ) )  &  (m1_subset_1(B, k5_cat_6(A)) & m1_subset_1(C, k5_cat_6(A))) )  => m1_cat_7(k6_cat_8(A, B, C), A, k4_cat_8(A, B, C), C)) ) ).
fof(dt_k7_cat_8, axiom,  (! [A, B, C, D, E, F, G] :  ( ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) &  (v7_cat_8(A) & l1_cat_6(A)) ) ) )  &  (m1_subset_1(B, k5_cat_6(A)) &  (m1_subset_1(C, k5_cat_6(A)) &  (m1_subset_1(D, k5_cat_6(A)) &  (m1_subset_1(E, k5_cat_6(A)) &  (m1_cat_7(F, A, B, C) & m1_cat_7(G, A, D, E)) ) ) ) ) )  => m1_cat_7(k7_cat_8(A, B, C, D, E, F, G), A, k4_cat_8(A, B, D), k4_cat_8(A, C, E))) ) ).
fof(dt_m2_cat_8, axiom,  (! [A, B] :  ( ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  &  (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) ) )  =>  (! [C] :  (m2_cat_8(C, A, B) => v2_xtuple_0(C)) ) ) ) ).
fof(existence_m2_cat_8, axiom,  (! [A, B] :  ( ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  &  (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) ) )  =>  (? [C] : m2_cat_8(C, A, B)) ) ) ).
fof(dt_k8_cat_8, axiom,  (! [A, B] :  ( ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  &  (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) ) )  =>  (v1_cat_6(k8_cat_8(A, B)) &  (v8_cat_6(k8_cat_8(A, B)) &  (v9_cat_6(k8_cat_8(A, B)) &  (v10_cat_6(k8_cat_8(A, B)) & l1_cat_6(k8_cat_8(A, B))) ) ) ) ) ) ).
fof(dt_k9_cat_8, axiom,  (! [A, B] :  ( ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  &  (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) ) )  =>  (v1_funct_1(k9_cat_8(A, B)) &  (v1_funct_2(k9_cat_8(A, B), u1_struct_0(k8_cat_8(A, B)), u1_struct_0(A)) & m1_subset_1(k9_cat_8(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k8_cat_8(A, B)), u1_struct_0(A))))) ) ) ) ).
fof(dt_k10_cat_8, axiom,  (! [A, B] :  ( ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  &  (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) ) )  =>  (v1_funct_1(k10_cat_8(A, B)) &  (v1_funct_2(k10_cat_8(A, B), u1_struct_0(k8_cat_8(A, B)), u1_struct_0(B)) & m1_subset_1(k10_cat_8(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k8_cat_8(A, B)), u1_struct_0(B))))) ) ) ) ).
fof(dt_k11_cat_8, axiom,  (! [A, B, C, D, E, F] :  ( ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  &  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  &  ( (v8_cat_6(C) &  (v9_cat_6(C) &  (v10_cat_6(C) & l1_cat_6(C)) ) )  &  ( (v8_cat_6(D) &  (v9_cat_6(D) &  (v10_cat_6(D) & l1_cat_6(D)) ) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C))))) )  &  (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(B), u1_struct_0(D)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(D))))) ) ) ) ) ) )  =>  (v1_funct_1(k11_cat_8(A, B, C, D, E, F)) &  (v1_funct_2(k11_cat_8(A, B, C, D, E, F), u1_struct_0(k8_cat_8(A, B)), u1_struct_0(k8_cat_8(C, D))) & m1_subset_1(k11_cat_8(A, B, C, D, E, F), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k8_cat_8(A, B)), u1_struct_0(k8_cat_8(C, D)))))) ) ) ) ).
fof(dt_k12_cat_8, axiom,  (! [A, B, C, D] :  ( ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  &  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  &  (m1_subset_1(C, k1_cat_6(A)) & m1_subset_1(D, k1_cat_6(B))) ) )  => m1_subset_1(k12_cat_8(A, B, C, D), k1_cat_6(k8_cat_8(A, B)))) ) ).
fof(dt_m3_cat_8, axiom,  (! [A, B, C, D] :  ( ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  &  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (! [E] :  (m3_cat_8(E, A, B, C, D) =>  (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) ) ).
fof(existence_m3_cat_8, axiom,  (! [A, B, C, D] :  ( ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  &  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (? [E] : m3_cat_8(E, A, B, C, D)) ) ) ).
fof(dt_k13_cat_8, axiom,  (! [A, B, C, D, E, F, G] :  ( ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  &  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  &  (m3_cat_8(F, A, B, D, C) & m3_cat_8(G, A, B, C, E)) ) ) ) ) )  => m3_cat_8(k13_cat_8(A, B, C, D, E, F, G), A, B, D, E)) ) ).
fof(dt_k14_cat_8, axiom,  (! [A, B] :  ( ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  &  (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) ) )  =>  (v1_cat_6(k14_cat_8(A, B)) &  (v8_cat_6(k14_cat_8(A, B)) &  (v9_cat_6(k14_cat_8(A, B)) &  (v10_cat_6(k14_cat_8(A, B)) & l1_cat_6(k14_cat_8(A, B))) ) ) ) ) ) ).
fof(dt_m4_cat_8, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) &  (v7_cat_8(A) &  (v8_cat_8(A) & l1_cat_6(A)) ) ) ) ) )  &  (m1_subset_1(B, k5_cat_6(A)) & m1_subset_1(C, k5_cat_6(A))) )  =>  (! [D] :  (m4_cat_8(D, A, B, C) => v1_xtuple_0(D)) ) ) ) ).
fof(existence_m4_cat_8, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) &  (v7_cat_8(A) &  (v8_cat_8(A) & l1_cat_6(A)) ) ) ) ) )  &  (m1_subset_1(B, k5_cat_6(A)) & m1_subset_1(C, k5_cat_6(A))) )  =>  (? [D] : m4_cat_8(D, A, B, C)) ) ) ).
fof(dt_k15_cat_8, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) &  (v7_cat_8(A) &  (v8_cat_8(A) & l1_cat_6(A)) ) ) ) ) )  &  (m1_subset_1(B, k5_cat_6(A)) & m1_subset_1(C, k5_cat_6(A))) )  => m1_subset_1(k15_cat_8(A, B, C), k5_cat_6(A))) ) ).
fof(dt_k16_cat_8, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) &  (v7_cat_8(A) &  (v8_cat_8(A) & l1_cat_6(A)) ) ) ) ) )  &  (m1_subset_1(B, k5_cat_6(A)) & m1_subset_1(C, k5_cat_6(A))) )  => m1_cat_7(k16_cat_8(A, B, C), A, k4_cat_8(A, k15_cat_8(A, B, C), B), C)) ) ).
fof(dt_m5_cat_8, axiom,  (! [A, B] :  ( ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  &  (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) ) )  =>  (! [C] :  (m5_cat_8(C, A, B) => v1_xtuple_0(C)) ) ) ) ).
fof(existence_m5_cat_8, axiom,  (! [A, B] :  ( ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  &  (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) ) )  =>  (? [C] : m5_cat_8(C, A, B)) ) ) ).
fof(dt_k17_cat_8, axiom,  (! [A, B] :  ( ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  &  (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) ) )  =>  (v8_cat_6(k17_cat_8(A, B)) &  (v9_cat_6(k17_cat_8(A, B)) &  (v10_cat_6(k17_cat_8(A, B)) & l1_cat_6(k17_cat_8(A, B))) ) ) ) ) ).
fof(dt_k18_cat_8, axiom,  (! [A, B] :  ( ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  &  (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) ) )  =>  (v1_funct_1(k18_cat_8(A, B)) &  (v1_funct_2(k18_cat_8(A, B), u1_struct_0(k8_cat_8(k17_cat_8(A, B), A)), u1_struct_0(B)) & m1_subset_1(k18_cat_8(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k8_cat_8(k17_cat_8(A, B), A)), u1_struct_0(B))))) ) ) ) ).
fof(d13_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) &  (v7_cat_8(A) & l1_cat_6(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) => k4_cat_8(A, B, C)=k4_xtuple_0(o_3_0_cat_8(A, B, C))) ) ) ) ) ) ).
fof(d14_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) &  (v7_cat_8(A) & l1_cat_6(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) => k5_cat_8(A, B, C)=k5_xtuple_0(o_3_0_cat_8(A, B, C))) ) ) ) ) ) ).
fof(d15_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) &  (v7_cat_8(A) & l1_cat_6(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) => k6_cat_8(A, B, C)=k2_xtuple_0(o_3_0_cat_8(A, B, C))) ) ) ) ) ) ).
fof(d19_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  => k8_cat_8(A, B)=k4_xtuple_0(o_2_0_cat_8(A, B))) ) ) ) ).
fof(d20_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  => k9_cat_8(A, B)=k5_xtuple_0(o_2_0_cat_8(A, B))) ) ) ) ).
fof(d21_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  => k10_cat_8(A, B)=k2_xtuple_0(o_2_0_cat_8(A, B))) ) ) ) ).
fof(d23_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_cat_6(A)) =>  (! [D] :  (m1_subset_1(D, k1_cat_6(B)) =>  (! [E] :  (m1_subset_1(E, k1_cat_6(k8_cat_8(A, B))) =>  ( ~ ( ( ~ (v2_struct_0(A))  &  ( ~ (v2_struct_0(B))  &  ~ ( (E=k12_cat_8(A, B, C, D) <=>  (k9_cat_6(k8_cat_8(A, B), A, k9_cat_8(A, B), E)=C & k9_cat_6(k8_cat_8(A, B), B, k10_cat_8(A, B), E)=D) ) ) ) ) )  &  ( ~ ( ( ~ (v2_struct_0(A))  &  ~ (v2_struct_0(B)) ) )  =>  (E=k12_cat_8(A, B, C, D) <=> E=o_2_1_cat_8(A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d28_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  =>  (! [C] :  ( (v1_cat_6(C) &  (v8_cat_6(C) &  (v9_cat_6(C) &  (v10_cat_6(C) & l1_cat_6(C)) ) ) )  =>  (C=k14_cat_8(A, B) <=>  (u1_struct_0(C)=a_2_2_cat_8(A, B) & u1_cat_6(C)=a_3_1_cat_8(A, B, C)) ) ) ) ) ) ) ) ).
fof(d32_cat_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) &  (v7_cat_8(A) &  (v8_cat_8(A) & l1_cat_6(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) => k15_cat_8(A, B, C)=k1_xtuple_0(o_3_2_cat_8(A, B, C))) ) ) ) ) ) ).
fof(d33_cat_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) &  (v7_cat_8(A) &  (v8_cat_8(A) & l1_cat_6(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k5_cat_6(A)) =>  (! [C] :  (m1_subset_1(C, k5_cat_6(A)) => k16_cat_8(A, B, C)=k2_xtuple_0(o_3_2_cat_8(A, B, C))) ) ) ) ) ) ).
fof(d36_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  => k17_cat_8(A, B)=k1_xtuple_0(o_2_3_cat_8(A, B))) ) ) ) ).
fof(d37_cat_8, axiom,  (! [A] :  ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  =>  (! [B] :  ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  => k18_cat_8(A, B)=k2_xtuple_0(o_2_3_cat_8(A, B))) ) ) ) ).
fof(dt_o_3_0_cat_8, axiom,  (! [A, B, C] :  ( ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) &  (v7_cat_8(A) & l1_cat_6(A)) ) ) )  &  (m1_subset_1(B, k5_cat_6(A)) & m1_subset_1(C, k5_cat_6(A))) )  => m1_cat_8(o_3_0_cat_8(A, B, C), A, B, C)) ) ).
fof(dt_o_2_0_cat_8, axiom,  (! [A, B] :  ( ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  &  (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) ) )  => m2_cat_8(o_2_0_cat_8(A, B), A, B)) ) ).
fof(dt_o_2_1_cat_8, axiom,  (! [A, B] :  ( ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  &  (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) ) )  => m1_subset_1(o_2_1_cat_8(A, B), k1_cat_6(k8_cat_8(A, B)))) ) ).
fof(fraenkel_a_2_2_cat_8, axiom,  (! [A, B, C] :  ( ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  &  (v8_cat_6(C) &  (v9_cat_6(C) &  (v10_cat_6(C) & l1_cat_6(C)) ) ) )  =>  (r2_hidden(A, a_2_2_cat_8(B, C)) <=>  (? [D, E, F] :  ( ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  & m3_cat_8(F, B, C, D, E)) )  &  (A=k4_tarski(k4_tarski(D, E), F) &  (v16_cat_6(D, B, C) &  (v16_cat_6(E, B, C) & r4_cat_8(B, C, D, E)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_cat_8, axiom,  (! [A, B, C, D] :  ( ( (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) )  &  ( (v8_cat_6(C) &  (v9_cat_6(C) &  (v10_cat_6(C) & l1_cat_6(C)) ) )  &  (v1_cat_6(D) &  (v8_cat_6(D) &  (v9_cat_6(D) &  (v10_cat_6(D) & l1_cat_6(D)) ) ) ) ) )  =>  (r2_hidden(A, a_3_1_cat_8(B, C, D)) <=>  (? [E, F, G] :  ( (m1_subset_1(E, u1_struct_0(D)) &  (m1_subset_1(F, u1_struct_0(D)) & m1_subset_1(G, u1_struct_0(D))) )  &  (A=k4_tarski(k4_tarski(F, E), G) &  (? [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  &  (? [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  &  (? [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  &  (? [K] :  (m3_cat_8(K, B, C, H, I) &  (? [L] :  (m3_cat_8(L, B, C, I, J) &  (E=k4_tarski(k4_tarski(H, I), K) &  (F=k4_tarski(k4_tarski(I, J), L) & G=k4_tarski(k4_tarski(H, J), k13_cat_8(B, C, I, H, J, K, L))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_o_3_2_cat_8, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) &  (v7_cat_8(A) &  (v8_cat_8(A) & l1_cat_6(A)) ) ) ) ) )  &  (m1_subset_1(B, k5_cat_6(A)) & m1_subset_1(C, k5_cat_6(A))) )  => m4_cat_8(o_3_2_cat_8(A, B, C), A, B, C)) ) ).
fof(dt_o_2_3_cat_8, axiom,  (! [A, B] :  ( ( (v8_cat_6(A) &  (v9_cat_6(A) &  (v10_cat_6(A) & l1_cat_6(A)) ) )  &  (v8_cat_6(B) &  (v9_cat_6(B) &  (v10_cat_6(B) & l1_cat_6(B)) ) ) )  => m5_cat_8(o_2_3_cat_8(A, B), A, B)) ) ).
fof(fc1_catalan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(k1_catalan1(A)) & v1_xreal_0(k1_catalan1(A))) ) ) ).
fof(fc2_catalan1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ( ~ (v8_ordinal1(k1_catalan1(A)))  & v1_xreal_0(k1_catalan1(A))) ) ) ).
fof(t1_catalan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, 1))  => r1_xxreal_0(k7_nat_d(A, 1), k7_nat_d(k3_xcmplx_0(2, A), 3))) ) ) ).
fof(t2_catalan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) => r1_xxreal_0(k7_nat_d(A, 1), k7_nat_d(k3_xcmplx_0(2, A), 2))) ) ) ).
fof(t3_catalan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (r1_xxreal_0(A, 1))  & r1_xxreal_0(k7_nat_d(k3_xcmplx_0(2, A), 1), A)) ) ) ) ).
fof(t4_catalan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, 1))  => k1_nat_1(k7_nat_d(A, 2), 1)=k7_nat_d(A, 1)) ) ) ).
fof(t5_catalan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (r1_xxreal_0(A, 1))  & r1_xxreal_0(k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(4, A), A), k3_xcmplx_0(2, A)), k1_nat_1(A, 1)), 1)) ) ) ) ).
fof(t6_catalan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (r1_xxreal_0(A, 1))  & r1_xxreal_0(k7_newton(k3_xcmplx_0(2, A)), k3_xcmplx_0(k3_xcmplx_0(k7_newton(k7_nat_d(k3_xcmplx_0(2, A), 2)), A), k1_nat_1(A, 1)))) ) ) ) ).
fof(t7_catalan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ (r1_xxreal_0(4, k3_xcmplx_0(2, k6_xcmplx_0(2, k7_xcmplx_0(3, k1_nat_1(A, 1)))))) ) ) ).
fof(d1_catalan1, axiom,  (! [A] :  (v7_ordinal1(A) => k1_catalan1(A)=k7_xcmplx_0(k4_newton(k7_nat_d(A, 1), k7_nat_d(k3_xcmplx_0(2, A), 2)), A)) ) ).
fof(t8_catalan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, 1))  => k1_catalan1(A)=k7_xcmplx_0(k7_newton(k7_nat_d(k3_xcmplx_0(2, A), 2)), k2_nat_1(k7_newton(k7_nat_d(A, 1)), k7_newton(A)))) ) ) ).
fof(t9_catalan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, 1))  => k1_catalan1(A)=k6_xcmplx_0(k2_nat_1(4, k4_newton(k7_nat_d(A, 1), k7_nat_d(k3_xcmplx_0(2, A), 3))), k4_newton(k7_nat_d(A, 1), k7_nat_d(k3_xcmplx_0(2, A), 1)))) ) ) ).
fof(t10_catalan1, axiom, k1_catalan1(k5_numbers)=k5_numbers).
fof(t11_catalan1, axiom, k1_catalan1(1)=1).
fof(t12_catalan1, axiom, k1_catalan1(2)=1).
fof(t13_catalan1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_int_1(k1_catalan1(A))) ) ).
fof(t14_catalan1, axiom,  (! [A] :  (v7_ordinal1(A) => k1_catalan1(k1_nat_1(A, 1))=k7_xcmplx_0(k7_newton(k3_xcmplx_0(2, A)), k2_nat_1(k7_newton(A), k7_newton(k1_nat_1(A, 1))))) ) ).
fof(t15_catalan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (r1_xxreal_0(A, 1))  & r1_xxreal_0(k1_catalan1(k1_nat_1(A, 1)), k1_catalan1(A))) ) ) ) ).
fof(t16_catalan1, axiom,  (! [A] :  (v7_ordinal1(A) => r1_xxreal_0(k1_catalan1(A), k1_catalan1(k1_nat_1(A, 1)))) ) ).
fof(t17_catalan1, axiom,  (! [A] :  (v7_ordinal1(A) => r1_xxreal_0(k5_numbers, k1_catalan1(A))) ) ).
fof(t18_catalan1, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k1_catalan1(A), k4_ordinal1)) ) ).
fof(t19_catalan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k1_catalan1(k1_nat_1(A, 1))=k3_xcmplx_0(k3_xcmplx_0(2, k6_xcmplx_0(2, k7_xcmplx_0(3, k1_nat_1(A, 1)))), k1_catalan1(A))) ) ) ).
fof(t20_catalan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  & r1_xxreal_0(k1_catalan1(A), k5_numbers)) ) ) ) ).
fof(t21_catalan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  & r1_xxreal_0(k3_xcmplx_0(4, k1_catalan1(A)), k1_catalan1(k1_nat_1(A, 1)))) ) ) ) ).
fof(dt_k1_catalan1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xreal_0(k1_catalan1(A))) ) ).
fof(fc1_catalan2, axiom,  (! [A, B] :  (v7_ordinal1(B) => v5_relat_1(k2_funcop_1(A, B), k4_ordinal1)) ) ).
fof(rc1_catalan2, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_xboole_0(A) &  (v5_ordinal1(A) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) &  (v4_valued_0(A) &  (v1_finset_1(A) &  (v4_partfun3(A) &  (v1_afinsq_1(A) & v1_catalan2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_catalan2, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v5_ordinal1(A) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) &  (v4_valued_0(A) &  (v1_finset_1(A) &  (v4_partfun3(A) &  (v1_afinsq_1(A) & v1_catalan2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc2_catalan2, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v1_finset_1(k2_catalan2(A, B))) ) ).
fof(cc1_catalan2, axiom,  (! [A, B] :  (m1_catalan2(B, A) =>  (! [C] :  (m1_subset_1(C, B) =>  (v5_relat_1(C, A) &  (v5_ordinal1(C) & v1_finset_1(C)) ) ) ) ) ) ).
fof(t1_catalan2, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v1_funct_1(C) &  (v5_ordinal1(C) & v1_finset_1(C)) ) ) )  =>  (? [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, A) &  (v1_funct_1(D) &  (v5_ordinal1(D) & v1_finset_1(D)) ) ) )  & C=k1_ordinal4(k5_relat_1(C, B), D)) ) ) ) ) ) ) ).
fof(d1_catalan2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) ) )  =>  (v1_catalan2(A) <=>  (r1_tarski(k2_relset_1(k4_ordinal1, A), k7_domain_1(k4_ordinal1, k5_numbers, 1)) &  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(B, k1_relset_1(k4_ordinal1, A)) => r1_xxreal_0(k3_xcmplx_0(2, k7_afinsq_2(k5_relat_1(A, B))), B)) ) ) ) ) ) ) ).
fof(t2_catalan2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) )  =>  (v1_catalan2(B) => r1_xxreal_0(k3_xcmplx_0(2, k7_afinsq_2(k5_relat_1(B, A))), A)) ) ) ) ) ).
fof(t3_catalan2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) ) )  =>  (v1_catalan2(A) => k1_recdef_1(A, k5_numbers)=k5_numbers) ) ) ).
fof(t4_catalan2, axiom,  (! [A] :  (v7_ordinal1(A) => v1_catalan2(k8_funcop_1(k4_ordinal1, A, k5_numbers))) ) ).
fof(t5_catalan2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(A, B) => v1_catalan2(k1_catalan2(k8_funcop_1(k4_ordinal1, B, k5_numbers), k8_funcop_1(k4_ordinal1, A, 1)))) ) ) ) ) ).
fof(t6_catalan2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) )  =>  (v1_catalan2(B) => v1_catalan2(k5_relat_1(B, A))) ) ) ) ) ).
fof(t7_catalan2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) )  =>  ( (v1_catalan2(A) & v1_catalan2(B))  => v1_catalan2(k1_catalan2(A, B))) ) ) ) ) ).
fof(t8_catalan2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) )  =>  ~ ( (v1_catalan2(B) & r1_xxreal_0(k1_nat_1(k3_xcmplx_0(2, A), 1), k3_xcmplx_0(2, k7_afinsq_2(k5_relat_1(B, k1_nat_1(k3_xcmplx_0(2, A), 1)))))) ) ) ) ) ) ).
fof(t9_catalan2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) )  =>  ( (v1_catalan2(B) & r1_xxreal_0(A, k6_xcmplx_0(k1_afinsq_1(B), k3_xcmplx_0(2, k7_afinsq_2(B)))))  => v1_catalan2(k1_catalan2(B, k8_funcop_1(k4_ordinal1, A, 1)))) ) ) ) ) ).
fof(t10_catalan2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  (v5_ordinal1(C) & v1_finset_1(C)) ) ) )  =>  ( (v1_catalan2(C) & r1_xxreal_0(B, k6_xcmplx_0(k1_nat_1(A, k1_afinsq_1(C)), k3_xcmplx_0(2, k7_afinsq_2(C)))))  => v1_catalan2(k1_catalan2(k1_catalan2(k8_funcop_1(k4_ordinal1, A, k5_numbers), C), k8_funcop_1(k4_ordinal1, B, 1)))) ) ) ) ) ) ) ).
fof(t11_catalan2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) )  =>  ( (v1_catalan2(B) & k3_xcmplx_0(2, k7_afinsq_2(k5_relat_1(B, A)))=A)  =>  (r1_xxreal_0(A, k1_afinsq_1(B)) & k1_afinsq_1(k5_relat_1(B, A))=A) ) ) ) ) ) ).
fof(t12_catalan2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  (v5_ordinal1(C) & v1_finset_1(C)) ) ) )  =>  ( (v1_catalan2(B) &  (k3_xcmplx_0(2, k7_afinsq_2(k5_relat_1(B, A)))=A & B=k1_catalan2(k5_relat_1(B, A), C)) )  => v1_catalan2(C)) ) ) ) ) ) ) ).
fof(t13_catalan2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  (v5_ordinal1(C) & v1_finset_1(C)) ) ) )  =>  ( (v1_catalan2(C) &  (k3_xcmplx_0(2, k7_afinsq_2(k5_relat_1(C, A)))=A & A=k1_nat_1(B, 1)) )  => k5_relat_1(C, A)=k1_catalan2(k5_relat_1(C, B), k8_funcop_1(k4_ordinal1, 1, 1))) ) ) ) ) ) ) ).
fof(d2_catalan2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(k7_domain_1(k4_ordinal1, k5_numbers, 1)))) =>  (C=k2_catalan2(A, B) <=>  (! [D] :  (r2_tarski(D, C) <=>  (? [E] :  ( (v1_relat_1(E) &  (v5_relat_1(E, k4_ordinal1) &  (v1_funct_1(E) &  (v5_ordinal1(E) & v1_finset_1(E)) ) ) )  &  (E=D &  (v1_catalan2(E) &  (k1_relset_1(k4_ordinal1, E)=A & k7_afinsq_2(E)=B) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_catalan2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  (v5_ordinal1(C) & v1_finset_1(C)) ) ) )  =>  (r2_tarski(C, k2_catalan2(B, A)) <=>  (v1_catalan2(C) &  (k1_relset_1(k4_ordinal1, C)=B & k7_afinsq_2(C)=A) ) ) ) ) ) ) ) ) ).
fof(t21_catalan2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => r1_tarski(k2_catalan2(B, A), k1_card_fin(B, A, 1, k5_numbers))) ) ) ) ).
fof(t22_catalan2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (v1_xboole_0(k2_catalan2(B, A)) <=>  ~ (r1_xxreal_0(k3_xcmplx_0(2, A), B)) ) ) ) ) ) ).
fof(t23_catalan2, axiom,  (! [A] :  (v7_ordinal1(A) => k2_catalan2(A, k5_numbers)=k6_domain_1(k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)), k8_funcop_1(k4_ordinal1, A, k5_numbers))) ) ).
fof(t24_catalan2, axiom,  (! [A] :  (v7_ordinal1(A) => k4_card_1(k2_catalan2(A, k5_numbers))=1) ) ).
fof(t25_catalan2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_tarski(k2_relset_1(k4_ordinal1, A), k2_tarski(k5_numbers, B)) &  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  (v5_ordinal1(C) & v1_finset_1(C)) ) ) )  =>  ~ ( (k1_afinsq_1(A)=k1_afinsq_1(C) &  (r1_tarski(k2_relset_1(k4_ordinal1, C), k2_tarski(k5_numbers, B)) &  ( (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(D, k1_afinsq_1(A)) => k2_xcmplx_0(k7_afinsq_2(k5_relat_1(A, D)), k7_afinsq_2(k5_relat_1(C, D)))=k3_xcmplx_0(B, D)) ) )  &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k1_afinsq_1(A)) => k1_recdef_1(C, D)=k6_xcmplx_0(B, k1_recdef_1(A, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_catalan2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(A, B) & r1_xxreal_0(k4_newton(A, B), k5_numbers)) ) ) ) ) ) ).
fof(t27_catalan2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(k2_nat_1(2, k1_nat_1(A, 1)), B) => k4_card_1(k7_subset_1(k9_funct_2(B, k2_tarski(1, k5_numbers)), k1_card_fin(B, k1_nat_1(A, 1), 1, k5_numbers), k2_catalan2(B, k1_nat_1(A, 1))))=k4_card_1(k1_card_fin(B, A, 1, k5_numbers))) ) ) ) ) ).
fof(t28_catalan2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(k2_nat_1(2, k1_nat_1(A, 1)), B) => k4_card_1(k2_catalan2(B, k1_nat_1(A, 1)))=k6_xcmplx_0(k4_newton(k1_nat_1(A, 1), B), k4_newton(A, B))) ) ) ) ) ).
fof(t29_catalan2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(k3_xcmplx_0(2, A), B) => k4_card_1(k2_catalan2(B, A))=k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k1_nat_1(B, 1), k3_xcmplx_0(2, A)), k6_xcmplx_0(k1_nat_1(B, 1), A)), k4_newton(A, B))) ) ) ) ) ).
fof(t30_catalan2, axiom,  (! [A] :  (v7_ordinal1(A) => k4_card_1(k2_catalan2(k2_xcmplx_0(2, A), 1))=k1_nat_1(A, 1)) ) ).
fof(t31_catalan2, axiom,  (! [A] :  (v7_ordinal1(A) => k4_card_1(k2_catalan2(k2_xcmplx_0(4, A), 2))=k7_xcmplx_0(k2_nat_1(k1_nat_1(A, 1), k1_nat_1(A, 4)), 2)) ) ).
fof(t32_catalan2, axiom,  (! [A] :  (v7_ordinal1(A) => k4_card_1(k2_catalan2(k2_xcmplx_0(6, A), 3))=k7_xcmplx_0(k2_nat_1(k2_nat_1(k1_nat_1(A, 1), k1_nat_1(A, 5)), k1_nat_1(A, 6)), 6)) ) ).
fof(t33_catalan2, axiom,  (! [A] :  (v7_ordinal1(A) => k4_card_1(k2_catalan2(k3_xcmplx_0(2, A), A))=k7_xcmplx_0(k4_newton(A, k3_xcmplx_0(2, A)), k1_nat_1(A, 1))) ) ).
fof(t34_catalan2, axiom,  (! [A] :  (v7_ordinal1(A) => k4_card_1(k2_catalan2(k3_xcmplx_0(2, A), A))=k1_catalan1(k1_nat_1(A, 1))) ) ).
fof(d3_catalan2, axiom,  (! [A] :  (! [B] :  ( (v4_funct_1(B) &  ~ (v1_xboole_0(B)) )  =>  (m1_catalan2(B, A) <=>  (! [C] :  (r2_tarski(C, B) =>  (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v1_funct_1(C) &  (v5_ordinal1(C) & v1_finset_1(C)) ) ) ) ) ) ) ) ) ) ).
fof(t39_catalan2, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) )  =>  ~ ( (k7_afinsq_2(B)=k1_catalan1(k1_nat_1(A, 1)) &  (k1_relset_1(k4_ordinal1, B)=A &  (! [C] :  (v7_ordinal1(C) =>  ( ~ (r1_xxreal_0(A, C))  => k1_recdef_1(B, C)=k3_xcmplx_0(k1_catalan1(k1_nat_1(C, 1)), k1_catalan1(k7_nat_d(A, C)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_catalan2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(k3_xcmplx_0(2, B), A) &  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  (v5_ordinal1(C) & v1_finset_1(C)) ) ) )  =>  ~ ( (k4_card_1(k2_catalan2(A, B))=k1_nat_1(k7_afinsq_2(C), k4_card_1(k2_catalan2(k7_nat_d(A, 1), B))) &  (k1_relset_1(k4_ordinal1, C)=B &  (! [D] :  (v7_ordinal1(D) =>  ( ~ (r1_xxreal_0(B, D))  => k1_recdef_1(C, D)=k2_nat_1(k4_card_1(k2_catalan2(k3_xcmplx_0(2, D), D)), k4_card_1(k2_catalan2(k7_nat_d(A, k2_nat_1(2, k1_nat_1(D, 1))), k7_nat_d(B, k1_nat_1(D, 1)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_catalan2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (? [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  (v5_ordinal1(C) & v1_finset_1(C)) ) ) )  &  (k7_afinsq_2(C)=k4_card_1(k2_catalan2(k2_xcmplx_0(k1_nat_1(k3_xcmplx_0(2, A), 2), B), k1_nat_1(A, 1))) &  (k1_relset_1(k4_ordinal1, C)=k1_nat_1(B, 1) &  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(D, B) => k1_recdef_1(C, D)=k4_card_1(k2_catalan2(k2_xcmplx_0(k1_nat_1(k3_xcmplx_0(2, A), 1), D), A))) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_catalan2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (C=k4_catalan2(A, B) <=>  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  ( (v1_relat_1(E) &  (v5_relat_1(E, k1_numbers) &  (v1_funct_1(E) &  (v5_ordinal1(E) & v1_finset_1(E)) ) ) )  &  (k1_relset_1(k4_ordinal1, E)=k1_nat_1(D, 1) &  ( (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k1_nat_1(D, 1)) => k1_funct_1(E, F)=k4_real_1(k8_nat_1(k1_numbers, A, F), k3_funct_2(k4_ordinal1, k1_numbers, B, k7_nat_d(D, F)))) ) )  & k7_afinsq_2(E)=k8_nat_1(k1_numbers, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_catalan2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k1_numbers) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) )  =>  ( (k1_relset_1(k4_ordinal1, A)=k1_relset_1(k4_ordinal1, B) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k1_afinsq_1(A)) => k1_funct_1(A, C)=k1_funct_1(B, k7_nat_d(k1_afinsq_1(A), k2_xcmplx_0(1, C)))) ) ) )  => k7_afinsq_2(A)=k7_afinsq_2(B)) ) ) ) ) ).
fof(t44_catalan2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k1_numbers) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k1_numbers) &  (v1_funct_1(C) &  (v5_ordinal1(C) & v1_finset_1(C)) ) ) )  =>  ( (k1_relset_1(k4_ordinal1, B)=k1_relset_1(k4_ordinal1, C) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k1_afinsq_1(B)) => k1_funct_1(B, D)=k3_xcmplx_0(A, k1_funct_1(C, D))) ) ) )  => k7_afinsq_2(B)=k3_xcmplx_0(A, k7_afinsq_2(C))) ) ) ) ) ) ) ).
fof(t45_catalan2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  (v1_xreal_0(C) => r2_funct_2(k4_ordinal1, k1_numbers, k4_catalan2(A, k26_valued_1(k4_ordinal1, k1_numbers, B, C)), k26_valued_1(k4_ordinal1, k1_numbers, k4_catalan2(A, B), C))) ) ) ) ) ) ).
fof(t46_catalan2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  => r2_funct_2(k4_ordinal1, k1_numbers, k4_catalan2(A, k1_series_1(k1_numbers, B, C)), k1_series_1(k1_numbers, k4_catalan2(A, B), k4_catalan2(A, C)))) ) ) ) ) ) ).
fof(t47_catalan2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  => k3_funct_2(k4_ordinal1, k1_numbers, k4_catalan2(A, B), k5_numbers)=k4_real_1(k3_funct_2(k4_ordinal1, k1_numbers, A, k5_numbers), k3_funct_2(k4_ordinal1, k1_numbers, B, k5_numbers))) ) ) ) ).
fof(t48_catalan2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (? [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, k1_numbers) &  (v1_funct_1(D) &  (v5_ordinal1(D) & v1_finset_1(D)) ) ) )  &  (k8_nat_1(k1_numbers, k3_series_1(k4_catalan2(A, B)), C)=k7_afinsq_2(D) &  (k1_relset_1(k4_ordinal1, D)=k1_nat_1(C, 1) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k1_nat_1(C, 1)) => k1_funct_1(D, E)=k4_real_1(k8_nat_1(k1_numbers, A, E), k3_funct_2(k4_ordinal1, k1_numbers, k3_series_1(B), k7_nat_d(C, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_catalan2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (v1_series_1(B) &  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, k1_numbers) &  (v1_funct_1(D) &  (v5_ordinal1(D) & v1_finset_1(D)) ) ) )  =>  ~ ( (k8_nat_1(k1_numbers, k3_series_1(k4_catalan2(A, B)), C)=k6_xcmplx_0(k3_xcmplx_0(k4_series_1(B), k8_nat_1(k1_numbers, k3_series_1(A), C)), k7_afinsq_2(D)) &  (k1_relset_1(k4_ordinal1, D)=k1_nat_1(C, 1) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k1_nat_1(C, 1)) => k1_funct_1(D, E)=k3_xcmplx_0(k8_nat_1(k1_numbers, A, E), k4_series_1(k7_nat_1(k1_numbers, B, k1_nat_1(k7_nat_d(C, E), 1))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_catalan2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) ) )  =>  (? [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k1_numbers) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) )  &  (k1_relset_1(k4_ordinal1, B)=k1_relset_1(k4_ordinal1, A) &  (r1_xxreal_0(k9_complex1(k7_afinsq_2(A)), k7_afinsq_2(B)) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k1_relset_1(k4_ordinal1, B)) => k1_funct_1(B, C)=k9_complex1(k1_funct_1(A, C))) ) ) ) ) ) ) ) ) ).
fof(t51_catalan2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( (v1_series_1(A) &  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  (! [C] :  (v7_ordinal1(C) =>  ~ (r1_xxreal_0(B, k9_complex1(k4_series_1(k7_nat_1(k1_numbers, A, C))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_catalan2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(B, C) &  (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k5_numbers, k8_nat_1(k1_numbers, A, D))) ) )  => r1_xxreal_0(k8_nat_1(k1_numbers, k3_series_1(A), B), k8_nat_1(k1_numbers, k3_series_1(A), C))) ) ) ) ) ) ) ).
fof(t53_catalan2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_series_1(A) & v1_series_1(B))  =>  (v1_series_1(k4_catalan2(A, B)) & k4_series_1(k4_catalan2(A, B))=k3_xcmplx_0(k4_series_1(A), k4_series_1(B))) ) ) ) ) ) ).
fof(t54_catalan2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  ( (! [C] :  (v7_ordinal1(C) => k8_nat_1(k1_numbers, B, C)=k3_xcmplx_0(k1_catalan1(k1_nat_1(C, 1)), k1_newton(A, C))) )  &  ( ~ (r1_xxreal_0(k7_xcmplx_0(1, 4), k9_complex1(A)))  =>  (v2_series_1(B) &  (k4_series_1(B)=k2_xcmplx_0(1, k3_xcmplx_0(A, k1_newton(k4_series_1(B), 2))) &  (k4_series_1(B)=k7_xcmplx_0(2, k2_xcmplx_0(1, k3_square_1(k6_xcmplx_0(1, k3_xcmplx_0(4, A))))) &  ( ~ (A=k5_numbers)  => k4_series_1(B)=k7_xcmplx_0(k6_xcmplx_0(1, k3_square_1(k6_xcmplx_0(1, k3_xcmplx_0(4, A)))), k3_xcmplx_0(2, A))) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_catalan2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) ) )  &  (v1_relat_1(B) &  (v5_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) ) )  =>  (v1_relat_1(k1_catalan2(A, B)) &  (v5_relat_1(k1_catalan2(A, B), k4_ordinal1) &  (v1_funct_1(k1_catalan2(A, B)) &  (v5_ordinal1(k1_catalan2(A, B)) & v1_finset_1(k1_catalan2(A, B))) ) ) ) ) ) ).
fof(redefinition_k1_catalan2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) ) )  &  (v1_relat_1(B) &  (v5_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) ) )  => k1_catalan2(A, B)=k1_ordinal4(A, B)) ) ).
fof(dt_k2_catalan2, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => m1_subset_1(k2_catalan2(A, B), k1_zfmisc_1(k8_afinsq_1(k7_domain_1(k4_ordinal1, k5_numbers, 1))))) ) ).
fof(dt_m1_catalan2, axiom,  (! [A] :  (! [B] :  (m1_catalan2(B, A) =>  (v4_funct_1(B) &  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(existence_m1_catalan2, axiom,  (! [A] :  (? [B] : m1_catalan2(B, A)) ) ).
fof(dt_k3_catalan2, axiom,  (! [A] : m1_catalan2(k3_catalan2(A), A)) ).
fof(redefinition_k3_catalan2, axiom,  (! [A] : k3_catalan2(A)=k8_afinsq_1(A)) ).
fof(dt_k4_catalan2, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (v1_funct_1(k4_catalan2(A, B)) &  (v1_funct_2(k4_catalan2(A, B), k4_ordinal1, k1_numbers) & m1_subset_1(k4_catalan2(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(commutativity_k4_catalan2, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  => k4_catalan2(A, B)=k4_catalan2(B, A)) ) ).
fof(t14_catalan2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) )  =>  ~ ( (A=k3_nat_1(a_1_0_catalan2(B)) &  ( ~ (r1_xxreal_0(A, k5_numbers))  &  (v1_catalan2(B) &  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  (v5_ordinal1(C) & v1_finset_1(C)) ) ) )  =>  ~ ( (k5_relat_1(B, A)=k1_catalan2(k1_catalan2(k8_funcop_1(k4_ordinal1, 1, k5_numbers), C), k8_funcop_1(k4_ordinal1, 1, 1)) & v1_catalan2(C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_catalan2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) ) )  =>  ~ ( (r1_tarski(k2_relset_1(k4_ordinal1, A), k7_domain_1(k4_ordinal1, k5_numbers, 1)) &  ( ~ (v1_catalan2(A))  &  (! [B] :  (v7_ordinal1(B) =>  ~ ( (k1_nat_1(k3_xcmplx_0(2, B), 1)=k3_nat_1(a_1_1_catalan2(A)) &  (r1_xxreal_0(k1_nat_1(k3_xcmplx_0(2, B), 1), k1_relset_1(k4_ordinal1, A)) &  (B=k7_afinsq_2(k5_relat_1(A, k3_xcmplx_0(2, B))) & k1_recdef_1(A, k3_xcmplx_0(2, B))=1) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_catalan2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( (k5_relat_1(A, k1_nat_1(k3_xcmplx_0(2, C), k1_afinsq_1(B)))=k1_catalan2(k1_catalan2(k8_funcop_1(k4_ordinal1, C, k5_numbers), B), k8_funcop_1(k4_ordinal1, C, 1)) &  (v1_catalan2(B) & k3_xcmplx_0(2, k7_afinsq_2(B))=k1_afinsq_1(B)) )  =>  (r1_xxreal_0(C, k5_numbers) | k3_nat_1(a_1_0_catalan2(A))=k1_nat_1(k3_xcmplx_0(2, C), k1_afinsq_1(B))) ) ) ) ) ) ) ) ).
fof(t17_catalan2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) ) )  =>  ~ ( (v1_catalan2(A) &  (a_1_0_catalan2(A)=k1_xboole_0 &  ( ~ (r1_xxreal_0(k1_afinsq_1(A), k5_numbers))  &  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) )  =>  ~ ( (A=k1_catalan2(k5_afinsq_1(k5_numbers), B) & v1_catalan2(B)) ) ) ) ) ) ) ) ) ) ).
fof(t18_catalan2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) ) )  =>  (v1_catalan2(A) =>  (v1_catalan2(k1_catalan2(k5_afinsq_1(k5_numbers), A)) & a_1_2_catalan2(A)=k1_xboole_0) ) ) ) ).
fof(t19_catalan2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) )  =>  ( (r1_tarski(k2_relset_1(k4_ordinal1, B), k7_domain_1(k4_ordinal1, k5_numbers, 1)) & k1_nat_1(k3_xcmplx_0(2, A), 1)=k3_nat_1(a_1_1_catalan2(B)))  => v1_catalan2(k5_relat_1(B, k3_xcmplx_0(2, A)))) ) ) ) ) ).
fof(t35_catalan2, axiom,  (! [A] :  (v7_ordinal1(A) => k1_card_1(a_1_3_catalan2(A))=k4_newton(A, k3_xcmplx_0(2, A))) ) ).
fof(t36_catalan2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (D=k6_xcmplx_0(A, k2_nat_1(2, k1_nat_1(C, 1))) & E=k6_xcmplx_0(B, k1_nat_1(C, 1)))  => k1_card_1(a_3_0_catalan2(A, B, C))=k2_nat_1(k4_card_1(k2_catalan2(k3_xcmplx_0(2, C), C)), k4_card_1(k2_catalan2(D, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_catalan2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(k3_xcmplx_0(2, B), A) &  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  (v5_ordinal1(C) & v1_finset_1(C)) ) ) )  =>  ~ ( (k1_card_1(a_2_0_catalan2(A, B))=k7_afinsq_2(C) &  (k1_relset_1(k4_ordinal1, C)=B &  (! [D] :  (v7_ordinal1(D) =>  ( ~ (r1_xxreal_0(B, D))  => k1_recdef_1(C, D)=k2_nat_1(k4_card_1(k2_catalan2(k3_xcmplx_0(2, D), D)), k4_card_1(k2_catalan2(k7_nat_d(A, k2_nat_1(2, k1_nat_1(D, 1))), k7_nat_d(B, k1_nat_1(D, 1)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_catalan2, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k2_catalan2(k3_xcmplx_0(2, A), A)=a_1_5_catalan2(A)) ) ) ).
fof(t40_catalan2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k1_card_1(a_2_1_catalan2(A, B))=k4_card_1(k2_catalan2(B, A))) ) ) ) ).
fof(fraenkel_a_1_0_catalan2, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) )  =>  (r2_hidden(A, a_1_0_catalan2(B)) <=>  (? [C] :  (v7_ordinal1(C) &  (A=C &  (k3_xcmplx_0(2, k7_afinsq_2(k5_relat_1(B, C)))=C &  ~ (r1_xxreal_0(C, k5_numbers)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_1_catalan2, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) )  =>  (r2_hidden(A, a_1_1_catalan2(B)) <=>  (? [C] :  (v7_ordinal1(C) &  (A=C &  ~ (r1_xxreal_0(k3_xcmplx_0(2, k7_afinsq_2(k5_relat_1(B, C))), C)) ) ) ) ) ) ) ).
fof(fraenkel_a_1_2_catalan2, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) )  =>  (r2_hidden(A, a_1_2_catalan2(B)) <=>  (? [C] :  (v7_ordinal1(C) &  (A=C &  (k3_xcmplx_0(2, k7_afinsq_2(k5_relat_1(k1_catalan2(k5_afinsq_1(k5_numbers), B), C)))=C &  ~ (r1_xxreal_0(C, k5_numbers)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_3_catalan2, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_3_catalan2(B)) <=>  (? [C] :  (m1_subset_1(C, k3_catalan2(k4_ordinal1)) &  (A=C &  (k1_relset_1(k4_ordinal1, C)=k3_xcmplx_0(2, B) & v1_catalan2(C)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_catalan2, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(B) &  (v7_ordinal1(C) & v7_ordinal1(D)) )  =>  (r2_hidden(A, a_3_0_catalan2(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k3_catalan2(k4_ordinal1)) &  (A=E &  (r2_tarski(E, k2_catalan2(B, C)) & k2_nat_1(2, k1_nat_1(D, 1))=k3_nat_1(a_1_4_catalan2(E))) ) ) ) ) ) ) ).
fof(fraenkel_a_1_4_catalan2, axiom,  (! [A, B] :  (m1_subset_1(B, k3_catalan2(k4_ordinal1)) =>  (r2_hidden(A, a_1_4_catalan2(B)) <=>  (? [C] :  (v7_ordinal1(C) &  (A=C &  (k3_xcmplx_0(2, k7_afinsq_2(k5_relat_1(B, C)))=C &  ~ (r1_xxreal_0(C, k5_numbers)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_catalan2, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) & v7_ordinal1(C))  =>  (r2_hidden(A, a_2_0_catalan2(B, C)) <=>  (? [D] :  (m1_subset_1(D, k3_catalan2(k4_ordinal1)) &  (A=D &  (r2_tarski(D, k2_catalan2(B, C)) &  ~ (a_1_4_catalan2(D)=k1_xboole_0) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_5_catalan2, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_5_catalan2(B)) <=>  (? [C] :  (m1_subset_1(C, k3_catalan2(k4_ordinal1)) &  (A=C &  (r2_tarski(C, k2_catalan2(k3_xcmplx_0(2, B), B)) &  ~ (a_1_4_catalan2(C)=k1_xboole_0) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_catalan2, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) & v7_ordinal1(C))  =>  (r2_hidden(A, a_2_1_catalan2(B, C)) <=>  (? [D] :  (m1_subset_1(D, k3_catalan2(k4_ordinal1)) &  (A=D &  (r2_tarski(D, k2_catalan2(k1_nat_1(C, 1), B)) & a_1_4_catalan2(D)=k1_xboole_0) ) ) ) ) ) ) ).
fof(cc1_catalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  (l3_msualg_1(B, A) =>  (v4_msualg_1(B, A) =>  ~ (v1_catalg_1(B, A)) ) ) ) ) ) ).
fof(rc1_catalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (? [B] :  (l3_msualg_1(B, A) &  (v3_msualg_1(B, A) &  (v4_msualg_1(B, A) & v1_msafree1(B, A)) ) ) ) ) ) ).
fof(fc1_catalg_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( ~ (v1_catalg_1(B, A))  & l3_msualg_1(B, A)) )  =>  (v1_relat_1(u3_msualg_1(A, B)) &  ( ~ (v3_relat_1(u3_msualg_1(A, B)))  &  (v4_relat_1(u3_msualg_1(A, B), u1_struct_0(A)) &  (v1_funct_1(u3_msualg_1(A, B)) & v1_partfun1(u3_msualg_1(A, B), u1_struct_0(A))) ) ) ) ) ) ).
fof(rc2_catalg_1, axiom,  (? [A] :  (v1_relat_1(A) &  ( ~ (v3_relat_1(A))  & v1_funct_1(A)) ) ) ).
fof(fc2_catalg_1, axiom,  (! [A] :  (v1_msualg_1(k2_catalg_1(A)) & v1_instalg1(k2_catalg_1(A))) ) ).
fof(fc3_catalg_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k2_catalg_1(A)))  &  ( ~ (v11_struct_0(k2_catalg_1(A)))  & v1_msualg_1(k2_catalg_1(A))) ) ) ) ).
fof(cc2_catalg_1, axiom,  (! [A] :  (l1_msualg_1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v1_instalg1(A) & v2_catalg_1(A)) )  =>  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & v1_instalg1(A)) ) ) ) ) ).
fof(rc3_catalg_1, axiom,  (? [A] :  (l1_msualg_1(A) &  ( ~ (v2_struct_0(A))  &  (v1_msualg_1(A) &  (v1_instalg1(A) & v2_catalg_1(A)) ) ) ) ) ).
fof(cc3_catalg_1, axiom,  (! [A] :  (! [B] :  (m1_catalg_1(B, A) => v2_catalg_1(B)) ) ) ).
fof(cc4_catalg_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_catalg_1(B, A) =>  ~ (v2_struct_0(B)) ) ) ) ) ).
fof(rc4_catalg_1, axiom,  (! [A] :  (? [B] :  (m1_catalg_1(B, A) &  (v1_msualg_1(B) &  (v1_instalg1(B) & v2_catalg_1(B)) ) ) ) ) ).
fof(fc4_catalg_1, axiom,  (! [A] :  (v1_msualg_1(k2_catalg_1(A)) & v3_catalg_1(k2_catalg_1(A))) ) ).
fof(rc5_catalg_1, axiom,  (? [A] :  (l1_msualg_1(A) &  ( ~ (v2_struct_0(A))  &  (v1_msualg_1(A) &  (v1_instalg1(A) &  (v2_catalg_1(A) & v3_catalg_1(A)) ) ) ) ) ) ).
fof(rc6_catalg_1, axiom,  (! [A] :  (? [B] :  (m1_catalg_1(B, A) &  (v1_msualg_1(B) &  (v1_instalg1(B) &  (v2_catalg_1(B) & v3_catalg_1(B)) ) ) ) ) ) ).
fof(fc5_catalg_1, axiom,  (! [A] :  (v1_msualg_1(k2_catalg_1(A)) & v3_catalg_1(k2_catalg_1(A))) ) ).
fof(rc7_catalg_1, axiom,  (? [A] :  (l1_msualg_1(A) &  ( ~ (v2_struct_0(A))  &  (v1_msualg_1(A) &  (v1_instalg1(A) &  (v2_catalg_1(A) & v3_catalg_1(A)) ) ) ) ) ) ).
fof(rc8_catalg_1, axiom,  (! [A] :  (? [B] :  (m1_catalg_1(B, A) &  (v1_msualg_1(B) &  (v1_instalg1(B) &  (v2_catalg_1(B) & v3_catalg_1(B)) ) ) ) ) ) ).
fof(fc6_catalg_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_instalg1(A) &  (v2_catalg_1(A) & l1_msualg_1(A)) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_relat_1(k2_xtuple_0(B)) & v1_funct_1(k2_xtuple_0(B))) ) ) ).
fof(fc7_catalg_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_catalg_1(A) & l1_msualg_1(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_relat_1(k2_xtuple_0(B)) & v1_funct_1(k2_xtuple_0(B))) ) ) ).
fof(fc8_catalg_1, axiom,  (! [A, B] :  ( ( ( ~ (v11_struct_0(A))  &  (v3_catalg_1(A) & l1_msualg_1(A)) )  & m1_subset_1(B, u4_struct_0(A)))  =>  (v1_relat_1(k2_xtuple_0(B)) & v1_funct_1(k2_xtuple_0(B))) ) ) ).
fof(fc9_catalg_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_instalg1(A) &  (v2_catalg_1(A) & l1_msualg_1(A)) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_relat_1(k2_xtuple_0(B)) &  (v1_funct_1(k2_xtuple_0(B)) & v1_finseq_1(k2_xtuple_0(B))) ) ) ) ).
fof(fc10_catalg_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_catalg_1(A) & l1_msualg_1(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_relat_1(k2_xtuple_0(B)) &  (v1_funct_1(k2_xtuple_0(B)) & v1_finseq_1(k2_xtuple_0(B))) ) ) ) ).
fof(fc11_catalg_1, axiom,  (! [A, B] :  ( ( ( ~ (v11_struct_0(A))  &  (v3_catalg_1(A) & l1_msualg_1(A)) )  & m1_subset_1(B, u4_struct_0(A)))  =>  (v1_relat_1(k2_xtuple_0(B)) &  (v1_funct_1(k2_xtuple_0(B)) & v1_finseq_1(k2_xtuple_0(B))) ) ) ) ).
fof(fc12_catalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (v3_msualg_1(k13_catalg_1(A), k3_catalg_1(u1_struct_0(A))) &  (v1_msafree1(k13_catalg_1(A), k3_catalg_1(u1_struct_0(A))) & v1_msualg_6(k13_catalg_1(A), k3_catalg_1(u1_struct_0(A)))) ) ) ) ).
fof(d1_catalg_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) & v1_funcop_1(D)) ) ) )  =>  (D=k1_catalg_1(A, B, C) <=>  (! [E] :  (r2_hidden(E, A) => k1_funct_1(D, E)=k5_relat_1(C, k1_funct_1(B, E))) ) ) ) ) ) ) ) ) ) ).
fof(t1_catalg_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => r6_pboole(A, k1_catalg_1(A, B, k6_partfun1(k3_card_3(B))), k2_msualg_3(A, B))) ) ) ).
fof(t2_catalg_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (r2_pboole(A, k2_funct_6(k1_catalg_1(A, B, D)), C) => k1_catalg_1(A, B, k3_relat_1(D, E))=k8_pboole(k1_catalg_1(A, B, D), k1_catalg_1(A, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t3_catalg_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, B)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) & v1_partfun1(D, B)) ) )  =>  ( (! [E] :  (r2_tarski(E, B) =>  (r1_tarski(k1_funct_1(C, E), k9_xtuple_0(A)) & r1_tarski(k7_relat_1(A, k1_funct_1(C, E)), k1_funct_1(D, E))) ) )  => m2_pboole(k1_catalg_1(B, C, A), B, C, D)) ) ) ) ) ) ) ) ).
fof(d2_catalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  (l3_msualg_1(B, A) =>  (v1_catalg_1(B, A) <=> v3_relat_1(u3_msualg_1(A, B))) ) ) ) ) ).
fof(d3_catalg_1, axiom,  (! [A] :  (! [B] :  ( (v1_msualg_1(B) & l1_msualg_1(B))  =>  (B=k2_catalg_1(A) <=>  (u1_struct_0(B)=k2_zfmisc_1(k1_tarski(k5_numbers), k4_finseq_2(2, A)) &  (u4_struct_0(B)=k2_xboole_0(k2_zfmisc_1(k1_tarski(1), k4_finseq_2(1, A)), k2_zfmisc_1(k1_tarski(2), k4_finseq_2(3, A))) &  ( (! [C] :  (r2_tarski(C, A) =>  (k1_funct_1(u1_msualg_1(B), k4_tarski(1, k9_finseq_1(C)))=k1_xboole_0 & k1_funct_1(u2_msualg_1(B), k4_tarski(1, k9_finseq_1(C)))=k4_tarski(k5_numbers, k10_finseq_1(C, C))) ) )  &  (! [C] :  (! [D] :  (! [E] :  ( (r2_tarski(C, A) &  (r2_tarski(D, A) & r2_tarski(E, A)) )  =>  (k1_funct_1(u1_msualg_1(B), k4_tarski(2, k11_finseq_1(C, D, E)))=k10_finseq_1(k4_tarski(k5_numbers, k10_finseq_1(D, E)), k4_tarski(k5_numbers, k10_finseq_1(C, D))) & k1_funct_1(u2_msualg_1(B), k4_tarski(2, k11_finseq_1(C, D, E)))=k4_tarski(k5_numbers, k10_finseq_1(C, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_catalg_1, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  =>  (v2_catalg_1(A) <=>  (? [B] :  (m1_instalg1(k2_catalg_1(B), A) & u1_struct_0(A)=k2_zfmisc_1(k1_tarski(k5_numbers), k4_finseq_2(2, B))) ) ) ) ) ).
fof(d5_catalg_1, axiom,  (! [A] :  (! [B] :  ( (v1_instalg1(B) & l1_msualg_1(B))  =>  (m1_catalg_1(B, A) <=>  (m1_instalg1(k2_catalg_1(A), B) & u1_struct_0(B)=k2_zfmisc_1(k1_tarski(k5_numbers), k4_finseq_2(2, A))) ) ) ) ) ).
fof(t4_catalg_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_catalg_1(C, A) =>  (m1_catalg_1(C, B) => A=B) ) ) ) ) ).
fof(d6_catalg_1, axiom,  (! [A] :  (l1_msualg_1(A) =>  ( (! [B] :  (r2_hidden(B, k10_xtuple_0(k2_xboole_0(u1_struct_0(A), u4_struct_0(A)))) =>  (v1_relat_1(B) & v1_funct_1(B)) ) )  =>  (! [B] :  (B=k4_catalg_1(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  (? [D] :  (? [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  &  (r2_hidden(k4_tarski(D, E), k2_xboole_0(u1_struct_0(A), u4_struct_0(A))) & r2_hidden(C, k10_xtuple_0(E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_catalg_1, axiom,  (! [A] :  (l1_msualg_1(A) =>  (v3_catalg_1(A) <=>  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  &  ( (! [C] :  ~ ( (r2_hidden(C, u1_struct_0(A)) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  ~ ( (C=k4_tarski(D, E) &  (k3_finseq_1(E)=k3_funct_2(k4_ordinal1, k4_ordinal1, B, D) & r1_tarski(k2_zfmisc_1(k1_tarski(D), k4_finseq_2(k3_funct_2(k4_ordinal1, k4_ordinal1, B, D), k4_catalg_1(A))), u1_struct_0(A))) ) ) ) ) ) ) ) ) )  &  (! [C] :  ~ ( (r2_hidden(C, u4_struct_0(A)) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  ~ ( (C=k4_tarski(D, E) &  (k3_finseq_1(E)=k3_funct_2(k4_ordinal1, k4_ordinal1, B, D) & r1_tarski(k2_zfmisc_1(k1_tarski(D), k4_finseq_2(k3_funct_2(k4_ordinal1, k4_ordinal1, B, D), k4_catalg_1(A))), u4_struct_0(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_catalg_1, axiom,  (! [A] : k4_catalg_1(k3_catalg_1(A))=A) ).
fof(t6_catalg_1, axiom,  (! [A] : k4_catalg_1(k3_catalg_1(A))=A) ).
fof(t7_catalg_1, axiom,  (! [A] :  ( (v3_catalg_1(A) & l1_msualg_1(A))  =>  (! [B] :  ~ ( ( (r2_tarski(B, u1_struct_0(A)) | r2_tarski(B, u4_struct_0(A)))  &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  ~ ( (B=k4_tarski(C, D) & r1_tarski(k10_xtuple_0(D), k4_catalg_1(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_catalg_1, axiom,  (! [A] :  ( (v3_catalg_1(A) & l1_msualg_1(A))  =>  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  ( ( (r2_hidden(k4_tarski(B, C), u1_struct_0(A)) & r2_hidden(k4_tarski(B, D), u1_struct_0(A)))  |  (r2_hidden(k4_tarski(B, C), u4_struct_0(A)) & r2_hidden(k4_tarski(B, D), u4_struct_0(A))) )  => k3_finseq_1(C)=k3_finseq_1(D)) ) ) ) ) ) ) ) ).
fof(t9_catalg_1, axiom,  (! [A] :  ( (v3_catalg_1(A) & l1_msualg_1(A))  =>  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  ( (k3_finseq_1(D)=k3_finseq_1(C) & r1_tarski(k10_xtuple_0(D), k4_catalg_1(A)))  =>  ( (r2_hidden(k4_tarski(B, C), u1_struct_0(A)) => r2_hidden(k4_tarski(B, D), u1_struct_0(A)))  &  (r2_hidden(k4_tarski(B, C), u4_struct_0(A)) => r2_hidden(k4_tarski(B, D), u4_struct_0(A))) ) ) ) ) ) ) ) ) ) ).
fof(t10_catalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_instalg1(A) &  (v2_catalg_1(A) &  (v3_catalg_1(A) & l1_msualg_1(A)) ) ) )  => m1_catalg_1(A, k4_catalg_1(A))) ) ).
fof(d8_catalg_1, axiom,  (! [A] : k5_catalg_1(A)=k4_tarski(1, k9_finseq_1(A))) ).
fof(d9_catalg_1, axiom,  (! [A] :  (! [B] : k6_catalg_1(A, B)=k4_tarski(k5_numbers, k10_finseq_1(A, B))) ) ).
fof(d10_catalg_1, axiom,  (! [A] :  (! [B] :  (! [C] : k7_catalg_1(A, B, C)=k4_tarski(2, k11_finseq_1(A, B, C))) ) ) ).
fof(t11_catalg_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_catalg_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (r2_tarski(k5_catalg_1(C), u4_struct_0(B)) &  (! [D] :  (m1_subset_1(D, A) =>  (r2_tarski(k6_catalg_1(C, D), u1_struct_0(B)) &  (! [E] :  (m1_subset_1(E, A) => r2_tarski(k7_catalg_1(C, D, E), u4_struct_0(B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_catalg_1, axiom,  (! [A] :  (! [B] :  (k5_catalg_1(A)=k5_catalg_1(B) => A=B) ) ) ).
fof(t13_catalg_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (k6_catalg_1(A, C)=k6_catalg_1(B, D) =>  (A=B & C=D) ) ) ) ) ) ).
fof(t14_catalg_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (k7_catalg_1(A, C, E)=k7_catalg_1(B, D, F) =>  (A=B &  (C=D & E=F) ) ) ) ) ) ) ) ) ).
fof(t15_catalg_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_catalg_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (? [D] :  (m1_subset_1(D, A) &  (? [E] :  (m1_subset_1(E, A) & C=k9_catalg_1(A, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(t16_catalg_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(k3_catalg_1(A))) =>  ( (k1_xfamily(B)=1 & k3_finseq_1(k2_xfamily(B))=1)  |  (k1_xfamily(B)=2 & k3_finseq_1(k2_xfamily(B))=3) ) ) ) ) ) ).
fof(t17_catalg_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(k3_catalg_1(A))) =>  ~ ( ( (k1_xfamily(B)=1 | k3_finseq_1(k2_xfamily(B))=1)  &  (! [C] :  (m1_subset_1(C, A) =>  ~ (B=k8_catalg_1(A, C)) ) ) ) ) ) ) ) ) ).
fof(t18_catalg_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(k3_catalg_1(A))) =>  ~ ( ( (k1_xfamily(B)=2 | k3_finseq_1(k2_xfamily(B))=3)  &  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  ~ (B=k10_catalg_1(A, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_catalg_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (k1_msualg_1(k3_catalg_1(A), k8_catalg_1(A, B))=k1_xboole_0 & k2_msualg_1(k3_catalg_1(A), k8_catalg_1(A, B))=k9_catalg_1(A, B, B)) ) ) ) ) ).
fof(t20_catalg_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (k1_msualg_1(k3_catalg_1(A), k10_catalg_1(A, B, C, D))=k2_finseq_4(u1_struct_0(k3_catalg_1(A)), k9_catalg_1(A, C, D), k9_catalg_1(A, B, C)) & k2_msualg_1(k3_catalg_1(A), k10_catalg_1(A, B, C, D))=k9_catalg_1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d11_catalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k3_catalg_1(u1_struct_0(A))), u1_struct_0(k3_catalg_1(u1_struct_0(B)))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_catalg_1(u1_struct_0(A))), u1_struct_0(k3_catalg_1(u1_struct_0(B))))))) )  =>  (D=k11_catalg_1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(k3_catalg_1(u1_struct_0(A)))) => k3_funct_2(u1_struct_0(k3_catalg_1(u1_struct_0(A))), u1_struct_0(k3_catalg_1(u1_struct_0(B))), D, E)=k4_tarski(k5_numbers, k3_relat_1(k2_xfamily(E), k7_cat_1(A, B, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_catalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u4_struct_0(k3_catalg_1(u1_struct_0(A))), u4_struct_0(k3_catalg_1(u1_struct_0(B)))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(k3_catalg_1(u1_struct_0(A))), u4_struct_0(k3_catalg_1(u1_struct_0(B))))))) )  =>  (D=k12_catalg_1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u4_struct_0(k3_catalg_1(u1_struct_0(A)))) => k3_funct_2(u4_struct_0(k3_catalg_1(u1_struct_0(A))), u4_struct_0(k3_catalg_1(u1_struct_0(B))), D, E)=k4_tarski(k1_xfamily(E), k3_relat_1(k2_xfamily(E), k7_cat_1(A, B, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_catalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k3_funct_2(u1_struct_0(k3_catalg_1(u1_struct_0(A))), u1_struct_0(k3_catalg_1(u1_struct_0(B))), k11_catalg_1(A, B, C), k9_catalg_1(u1_struct_0(A), D, E))=k9_catalg_1(u1_struct_0(B), k8_cat_1(A, B, C, D), k8_cat_1(A, B, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t22_catalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u4_struct_0(k3_catalg_1(u1_struct_0(A))), u4_struct_0(k3_catalg_1(u1_struct_0(B))), k12_catalg_1(A, B, C), k8_catalg_1(u1_struct_0(A), D))=k8_catalg_1(u1_struct_0(B), k8_cat_1(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t23_catalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => k3_funct_2(u4_struct_0(k3_catalg_1(u1_struct_0(A))), u4_struct_0(k3_catalg_1(u1_struct_0(B))), k12_catalg_1(A, B, C), k10_catalg_1(u1_struct_0(A), D, E, F))=k10_catalg_1(u1_struct_0(B), k8_cat_1(A, B, C, D), k8_cat_1(A, B, C, E), k8_cat_1(A, B, C, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_catalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) => r3_pua2mss1(k3_catalg_1(u1_struct_0(A)), k3_catalg_1(u1_struct_0(B)), k11_catalg_1(A, B, C), k12_catalg_1(A, B, C))) ) ) ) ) ) ).
fof(t25_catalg_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (l3_msualg_1(B, k3_catalg_1(A)) =>  (! [C] :  (m1_subset_1(C, A) => k3_msualg_1(k3_catalg_1(A), k8_catalg_1(A, C), B)=k1_tarski(k1_xboole_0)) ) ) ) ) ) ).
fof(d13_catalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v3_msualg_1(B, k3_catalg_1(u1_struct_0(A))) & l3_msualg_1(B, k3_catalg_1(u1_struct_0(A))))  =>  (B=k13_catalg_1(A) <=>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_funct_1(u3_msualg_1(k3_catalg_1(u1_struct_0(A)), B), k9_catalg_1(u1_struct_0(A), C, D))=k2_cat_1(A, C, D)) ) ) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_funct_1(k5_msualg_1(k3_catalg_1(u1_struct_0(A)), k8_catalg_1(u1_struct_0(A), C), B), k1_xboole_0)=k4_cat_1(A, C)) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u4_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u4_struct_0(A)) =>  ( (k3_graph_1(A, F)=C &  (k4_graph_1(A, F)=D &  (k3_graph_1(A, G)=D & k4_graph_1(A, G)=E) ) )  => k1_funct_1(k5_msualg_1(k3_catalg_1(u1_struct_0(A)), k10_catalg_1(u1_struct_0(A), C, D, E), B), k2_finseq_4(u4_struct_0(A), G, F))=k1_cat_1(A, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_catalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k4_msualg_1(k3_catalg_1(u1_struct_0(A)), k8_catalg_1(u1_struct_0(A), B), k13_catalg_1(A))=k2_cat_1(A, B, B)) ) ) ) ).
fof(t27_catalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k3_msualg_1(k3_catalg_1(u1_struct_0(A)), k10_catalg_1(u1_struct_0(A), B, C, D), k13_catalg_1(A))=k4_card_3(k2_finseq_4(k1_zfmisc_1(u4_struct_0(A)), k2_cat_1(A, C, D), k2_cat_1(A, B, C))) & k4_msualg_1(k3_catalg_1(u1_struct_0(A)), k10_catalg_1(u1_struct_0(A), B, C, D), k13_catalg_1(A))=k2_cat_1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t28_catalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) => m2_pboole(k1_catalg_1(u1_struct_0(k3_catalg_1(u1_struct_0(A))), u3_msualg_1(k3_catalg_1(u1_struct_0(A)), k13_catalg_1(A)), C), u1_struct_0(k3_catalg_1(u1_struct_0(A))), u3_msualg_1(k3_catalg_1(u1_struct_0(A)), k13_catalg_1(A)), u3_msualg_1(k3_catalg_1(u1_struct_0(A)), k1_instalg1(k3_catalg_1(u1_struct_0(A)), k3_catalg_1(u1_struct_0(B)), k13_catalg_1(B), k11_catalg_1(A, B, C), k12_catalg_1(A, B, C))))) ) ) ) ) ) ).
fof(t29_catalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (r2_tarski(E, k3_msualg_1(k3_catalg_1(u1_struct_0(A)), k10_catalg_1(u1_struct_0(A), B, C, D), k13_catalg_1(A))) <=>  (? [F] :  (m1_subset_1(F, u4_struct_0(A)) &  (? [G] :  (m1_subset_1(G, u4_struct_0(A)) &  (E=k2_finseq_4(u4_struct_0(A), F, G) &  (k3_graph_1(A, G)=B &  (k4_graph_1(A, G)=C &  (k3_graph_1(A, F)=C & k4_graph_1(A, F)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_catalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u4_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u4_struct_0(A)) =>  ( (r2_tarski(G, k2_cat_1(A, D, E)) & r2_tarski(H, k2_cat_1(A, E, F)))  =>  (! [I] :  (m1_subset_1(I, k3_msualg_1(k3_catalg_1(u1_struct_0(A)), k10_catalg_1(u1_struct_0(A), D, E, F), k13_catalg_1(A))) =>  (I=k2_finseq_4(u4_struct_0(A), H, G) =>  (! [J] :  (m2_pboole(J, u1_struct_0(k3_catalg_1(u1_struct_0(A))), u3_msualg_1(k3_catalg_1(u1_struct_0(A)), k13_catalg_1(A)), u3_msualg_1(k3_catalg_1(u1_struct_0(A)), k1_instalg1(k3_catalg_1(u1_struct_0(A)), k3_catalg_1(u1_struct_0(B)), k13_catalg_1(B), k11_catalg_1(A, B, C), k12_catalg_1(A, B, C)))) =>  (r8_pboole(u1_struct_0(k3_catalg_1(u1_struct_0(A))), J, k1_catalg_1(u1_struct_0(k3_catalg_1(u1_struct_0(A))), u3_msualg_1(k3_catalg_1(u1_struct_0(A)), k13_catalg_1(A)), C)) => k5_msualg_3(k3_catalg_1(u1_struct_0(A)), k13_catalg_1(A), k1_instalg1(k3_catalg_1(u1_struct_0(A)), k3_catalg_1(u1_struct_0(B)), k13_catalg_1(B), k11_catalg_1(A, B, C), k12_catalg_1(A, B, C)), k10_catalg_1(u1_struct_0(A), D, E, F), J, I)=k2_finseq_4(u4_struct_0(B), k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, H), k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_catalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u4_struct_0(A)) =>  ( (r2_tarski(E, k2_cat_1(A, B, C)) & r2_tarski(F, k2_cat_1(A, C, D)))  => k1_funct_1(k5_msualg_1(k3_catalg_1(u1_struct_0(A)), k10_catalg_1(u1_struct_0(A), B, C, D), k13_catalg_1(A)), k2_finseq_4(u4_struct_0(A), F, E))=k1_cat_1(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_catalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u4_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u4_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u4_struct_0(A)) =>  ( (r2_tarski(F, k2_cat_1(A, B, C)) &  (r2_tarski(G, k2_cat_1(A, C, D)) & r2_tarski(H, k2_cat_1(A, D, E))) )  => k1_funct_1(k5_msualg_1(k3_catalg_1(u1_struct_0(A)), k10_catalg_1(u1_struct_0(A), B, D, E), k13_catalg_1(A)), k10_finseq_1(H, k1_funct_1(k5_msualg_1(k3_catalg_1(u1_struct_0(A)), k10_catalg_1(u1_struct_0(A), B, C, D), k13_catalg_1(A)), k2_finseq_4(u4_struct_0(A), G, F))))=k1_funct_1(k5_msualg_1(k3_catalg_1(u1_struct_0(A)), k10_catalg_1(u1_struct_0(A), B, C, E), k13_catalg_1(A)), k10_finseq_1(k1_funct_1(k5_msualg_1(k3_catalg_1(u1_struct_0(A)), k10_catalg_1(u1_struct_0(A), C, D, E), k13_catalg_1(A)), k2_finseq_4(u4_struct_0(A), H, G)), F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_catalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (r2_tarski(D, k2_cat_1(A, B, C)) =>  (k1_funct_1(k5_msualg_1(k3_catalg_1(u1_struct_0(A)), k10_catalg_1(u1_struct_0(A), B, C, C), k13_catalg_1(A)), k2_finseq_4(u4_struct_0(A), k4_cat_1(A, C), D))=D & k1_funct_1(k5_msualg_1(k3_catalg_1(u1_struct_0(A)), k10_catalg_1(u1_struct_0(A), B, B, C), k13_catalg_1(A)), k2_finseq_4(u4_struct_0(A), D, k4_cat_1(A, B)))=D) ) ) ) ) ) ) ) ) ) ).
fof(t34_catalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (? [D] :  (m2_pboole(D, u1_struct_0(k3_catalg_1(u1_struct_0(A))), u3_msualg_1(k3_catalg_1(u1_struct_0(A)), k13_catalg_1(A)), u3_msualg_1(k3_catalg_1(u1_struct_0(A)), k1_instalg1(k3_catalg_1(u1_struct_0(A)), k3_catalg_1(u1_struct_0(B)), k13_catalg_1(B), k11_catalg_1(A, B, C), k12_catalg_1(A, B, C)))) &  (r8_pboole(u1_struct_0(k3_catalg_1(u1_struct_0(A))), D, k1_catalg_1(u1_struct_0(k3_catalg_1(u1_struct_0(A))), u3_msualg_1(k3_catalg_1(u1_struct_0(A)), k13_catalg_1(A)), C)) & r1_msualg_3(k3_catalg_1(u1_struct_0(A)), k13_catalg_1(A), k1_instalg1(k3_catalg_1(u1_struct_0(A)), k3_catalg_1(u1_struct_0(B)), k13_catalg_1(B), k11_catalg_1(A, B, C), k12_catalg_1(A, B, C)), D)) ) ) ) ) ) ) ) ) ).
fof(s1_catalg_1, axiom,  ( ( (! [A] :  (m1_subset_1(A, f1_s1_catalg_1) =>  (! [B] :  (m1_subset_1(B, f1_s1_catalg_1) => r1_tarski(f3_s1_catalg_1(A, B), f2_s1_catalg_1)) ) ) )  &  ( (! [A] :  (m1_subset_1(A, f1_s1_catalg_1) => r2_tarski(f5_s1_catalg_1(A), f3_s1_catalg_1(A, A))) )  &  (! [A] :  (m1_subset_1(A, f1_s1_catalg_1) =>  (! [B] :  (m1_subset_1(B, f1_s1_catalg_1) =>  (! [C] :  (m1_subset_1(C, f1_s1_catalg_1) =>  (! [D] :  (m1_subset_1(D, f2_s1_catalg_1) =>  (! [E] :  (m1_subset_1(E, f2_s1_catalg_1) =>  ( (r2_tarski(D, f3_s1_catalg_1(A, B)) & r2_tarski(E, f3_s1_catalg_1(B, C)))  => r2_tarski(f4_s1_catalg_1(A, B, C, E, D), f3_s1_catalg_1(A, C))) ) ) ) ) ) ) ) ) ) ) ) )  =>  (? [A] :  ( (v3_msualg_1(A, k3_catalg_1(f1_s1_catalg_1)) & l3_msualg_1(A, k3_catalg_1(f1_s1_catalg_1)))  &  ( (! [B] :  (m1_subset_1(B, f1_s1_catalg_1) =>  (! [C] :  (m1_subset_1(C, f1_s1_catalg_1) => k1_funct_1(u3_msualg_1(k3_catalg_1(f1_s1_catalg_1), A), k9_catalg_1(f1_s1_catalg_1, B, C))=f3_s1_catalg_1(B, C)) ) ) )  &  ( (! [B] :  (m1_subset_1(B, f1_s1_catalg_1) => k1_funct_1(k5_msualg_1(k3_catalg_1(f1_s1_catalg_1), k8_catalg_1(f1_s1_catalg_1, B), A), k1_xboole_0)=f5_s1_catalg_1(B)) )  &  (! [B] :  (m1_subset_1(B, f1_s1_catalg_1) =>  (! [C] :  (m1_subset_1(C, f1_s1_catalg_1) =>  (! [D] :  (m1_subset_1(D, f1_s1_catalg_1) =>  (! [E] :  (m1_subset_1(E, f2_s1_catalg_1) =>  (! [F] :  (m1_subset_1(F, f2_s1_catalg_1) =>  ( (r2_tarski(E, f3_s1_catalg_1(B, C)) & r2_tarski(F, f3_s1_catalg_1(C, D)))  => k1_funct_1(k5_msualg_1(k3_catalg_1(f1_s1_catalg_1), k10_catalg_1(f1_s1_catalg_1, B, C, D), A), k2_finseq_4(f2_s1_catalg_1, F, E))=f4_s1_catalg_1(B, C, D, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_catalg_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v1_funct_1(B))  &  (v1_relat_1(C) & v1_funct_1(C)) )  =>  (v1_relat_1(k1_catalg_1(A, B, C)) &  (v4_relat_1(k1_catalg_1(A, B, C), A) &  (v1_funct_1(k1_catalg_1(A, B, C)) &  (v1_partfun1(k1_catalg_1(A, B, C), A) & v1_funcop_1(k1_catalg_1(A, B, C))) ) ) ) ) ) ).
fof(dt_k2_catalg_1, axiom,  (! [A] :  (v1_msualg_1(k2_catalg_1(A)) & l1_msualg_1(k2_catalg_1(A))) ) ).
fof(dt_m1_catalg_1, axiom,  (! [A] :  (! [B] :  (m1_catalg_1(B, A) =>  (v1_instalg1(B) & l1_msualg_1(B)) ) ) ) ).
fof(existence_m1_catalg_1, axiom,  (! [A] :  (? [B] : m1_catalg_1(B, A)) ) ).
fof(dt_k3_catalg_1, axiom,  (! [A] :  (v1_msualg_1(k3_catalg_1(A)) & m1_catalg_1(k3_catalg_1(A), A)) ) ).
fof(redefinition_k3_catalg_1, axiom,  (! [A] : k3_catalg_1(A)=k2_catalg_1(A)) ).
fof(dt_k8_catalg_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => m1_subset_1(k8_catalg_1(A, B), u4_struct_0(k3_catalg_1(A)))) ) ).
fof(redefinition_k8_catalg_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => k8_catalg_1(A, B)=k5_catalg_1(B)) ) ).
fof(dt_k9_catalg_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => m1_subset_1(k9_catalg_1(A, B, C), u1_struct_0(k3_catalg_1(A)))) ) ).
fof(redefinition_k9_catalg_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k9_catalg_1(A, B, C)=k6_catalg_1(B, C)) ) ).
fof(dt_k10_catalg_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (m1_subset_1(C, A) & m1_subset_1(D, A)) ) )  => m1_subset_1(k10_catalg_1(A, B, C, D), u4_struct_0(k3_catalg_1(A)))) ) ).
fof(redefinition_k10_catalg_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (m1_subset_1(C, A) & m1_subset_1(D, A)) ) )  => k10_catalg_1(A, B, C, D)=k7_catalg_1(B, C, D)) ) ).
fof(dt_k11_catalg_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  & m2_cat_1(C, A, B)) )  =>  (v1_funct_1(k11_catalg_1(A, B, C)) &  (v1_funct_2(k11_catalg_1(A, B, C), u1_struct_0(k3_catalg_1(u1_struct_0(A))), u1_struct_0(k3_catalg_1(u1_struct_0(B)))) & m1_subset_1(k11_catalg_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_catalg_1(u1_struct_0(A))), u1_struct_0(k3_catalg_1(u1_struct_0(B))))))) ) ) ) ).
fof(dt_k12_catalg_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  & m2_cat_1(C, A, B)) )  =>  (v1_funct_1(k12_catalg_1(A, B, C)) &  (v1_funct_2(k12_catalg_1(A, B, C), u4_struct_0(k3_catalg_1(u1_struct_0(A))), u4_struct_0(k3_catalg_1(u1_struct_0(B)))) & m1_subset_1(k12_catalg_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(k3_catalg_1(u1_struct_0(A))), u4_struct_0(k3_catalg_1(u1_struct_0(B))))))) ) ) ) ).
fof(dt_f1_s1_catalg_1, axiom,  ~ (v1_xboole_0(f1_s1_catalg_1)) ).
fof(dt_f2_s1_catalg_1, axiom,  ~ (v1_xboole_0(f2_s1_catalg_1)) ).
fof(dt_k13_catalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (v3_msualg_1(k13_catalg_1(A), k3_catalg_1(u1_struct_0(A))) & l3_msualg_1(k13_catalg_1(A), k3_catalg_1(u1_struct_0(A)))) ) ) ).
fof(fc1_cayldick, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v9_struct_0(B, A))  & m1_subset_1(B, u1_struct_0(A))) )  =>  (v1_xreal_0(k2_normsp_0(A, B)) & v2_xxreal_0(k2_normsp_0(A, B))) ) ) ).
fof(fc2_cayldick, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_xcmplx_0(A))  =>  ~ (v8_ordinal1(k1_square_1(A))) ) ) ).
fof(fc3_cayldick, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => v2_relat_1(k3_afinsq_1(A))) ) ).
fof(rc1_cayldick, axiom,  (? [A] :  (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v1_finset_1(A) &  (v4_card_3(A) & v1_afinsq_1(A)) ) ) ) ) ) ) ) ).
fof(fc4_cayldick, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) ) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) ) )  =>  (v1_relat_1(k1_ordinal4(A, B)) &  (v2_relat_1(k1_ordinal4(A, B)) &  (v1_funct_1(k1_ordinal4(A, B)) & v5_ordinal1(k1_ordinal4(A, B))) ) ) ) ) ).
fof(fc5_cayldick, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  => v2_relat_1(k6_afinsq_1(A, B))) ) ).
fof(fc6_cayldick, axiom,  (! [A] :  (v1_funct_1(k1_cayldick(A)) &  (v1_funct_2(k1_cayldick(A), k2_zfmisc_1(A, A), A) &  (v1_binop_1(k1_cayldick(A), A) & v2_binop_1(k1_cayldick(A), A)) ) ) ) ).
fof(rc2_cayldick, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A))) &  (v1_relat_1(B) &  (v4_relat_1(B, k2_zfmisc_1(A, A)) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, k2_zfmisc_1(A, A)) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) &  (v1_binop_1(B, A) & v2_binop_1(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(rc3_cayldick, axiom,  (? [A] :  (l1_cayldick(A) & v1_cayldick(A)) ) ).
fof(rc4_cayldick, axiom,  (? [A] :  (l1_cayldick(A) &  ( ~ (v7_struct_0(A))  & v1_cayldick(A)) ) ) ).
fof(fc7_cayldick, axiom,  (! [A, B, C, D, E, F, G, H] :  ( (v3_membered(A) &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k1_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, A), A)))) )  &  (m1_subset_1(E, A) &  (m1_subset_1(F, A) &  ( (v1_funct_1(G) &  (v1_funct_2(G, A, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(H) &  (v1_funct_2(H, A, A) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ) ) ) )  =>  (v3_topmetr(g1_cayldick(A, C, B, D, E, F, G, H)) & v1_cayldick(g1_cayldick(A, C, B, D, E, F, G, H))) ) ) ).
fof(fc8_cayldick, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) &  (v2_binop_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k1_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, A), A)))) )  &  (m1_subset_1(E, A) &  (m1_subset_1(F, A) &  ( (v1_funct_1(G) &  (v1_funct_2(G, A, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(H) &  (v1_funct_2(H, A, A) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ) ) )  =>  (v3_rlvect_1(g1_cayldick(A, C, B, D, E, F, G, H)) & v1_cayldick(g1_cayldick(A, C, B, D, E, F, G, H))) ) ) ).
fof(fc9_cayldick, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) &  (v1_binop_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k1_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, A), A)))) )  &  (m1_subset_1(E, A) &  (m1_subset_1(F, A) &  ( (v1_funct_1(G) &  (v1_funct_2(G, A, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(H) &  (v1_funct_2(H, A, A) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ) ) )  =>  (v2_rlvect_1(g1_cayldick(A, C, B, D, E, F, G, H)) & v1_cayldick(g1_cayldick(A, C, B, D, E, F, G, H))) ) ) ).
fof(fc10_cayldick, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) &  (v2_binop_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k1_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, A), A)))) )  &  (m1_subset_1(E, A) &  (m1_subset_1(F, A) &  ( (v1_funct_1(G) &  (v1_funct_2(G, A, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(H) &  (v1_funct_2(H, A, A) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ) ) )  =>  (v3_group_1(g1_cayldick(A, C, B, D, E, F, G, H)) & v1_cayldick(g1_cayldick(A, C, B, D, E, F, G, H))) ) ) ).
fof(fc11_cayldick, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) &  (v1_binop_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k1_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, A), A)))) )  &  (m1_subset_1(E, A) &  (m1_subset_1(F, A) &  ( (v1_funct_1(G) &  (v1_funct_2(G, A, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(H) &  (v1_funct_2(H, A, A) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ) ) )  =>  (v5_group_1(g1_cayldick(A, C, B, D, E, F, G, H)) & v1_cayldick(g1_cayldick(A, C, B, D, E, F, G, H))) ) ) ).
fof(fc12_cayldick, axiom,  ( ~ (v6_struct_0(k3_cayldick))  &  (v2_rlvect_1(k3_cayldick) &  (v3_rlvect_1(k3_cayldick) &  (v3_group_1(k3_cayldick) &  (v5_group_1(k3_cayldick) &  (v3_topmetr(k3_cayldick) & v1_cayldick(k3_cayldick)) ) ) ) ) ) ).
fof(ie1_cayldick, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, u1_struct_0(k3_cayldick)) &  (m1_subset_1(B, u1_struct_0(k3_cayldick)) &  (v1_xreal_0(C) & v1_xreal_0(D)) ) )  =>  ( (A=C & B=D)  => k3_rlvect_1(k3_cayldick, A, B)=k2_xcmplx_0(C, D)) ) ) ).
fof(ie2_cayldick, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, u1_struct_0(k3_cayldick)) &  (m1_subset_1(B, u1_struct_0(k3_cayldick)) &  (v1_xreal_0(C) & v1_xreal_0(D)) ) )  =>  ( (A=C & B=D)  => k8_group_1(k3_cayldick, A, B)=k3_xcmplx_0(C, D)) ) ) ).
fof(cc1_cayldick, axiom,  (! [A] :  (l1_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v6_algstr_0(A) & v2_rlvect_1(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v5_algstr_0(A) & v2_rlvect_1(A)) ) ) ) ) ).
fof(cc2_cayldick, axiom,  (! [A] :  (l1_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v5_algstr_0(A) & v2_rlvect_1(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v6_algstr_0(A) & v2_rlvect_1(A)) ) ) ) ) ).
fof(cc3_cayldick, axiom,  (! [A] :  (l2_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v12_algstr_0(A) & v2_rlvect_1(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) & v2_rlvect_1(A)) ) ) ) ) ).
fof(cc4_cayldick, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v2_vectsp_1(A) & v5_group_1(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v1_vectsp_1(A) & v5_group_1(A)) ) ) ) ) ) ).
fof(cc5_cayldick, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v1_vectsp_1(A) & v5_group_1(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v2_vectsp_1(A) & v5_group_1(A)) ) ) ) ) ) ).
fof(cc6_cayldick, axiom,  (! [A] :  (l5_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v33_algstr_0(A) & v5_group_1(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v34_algstr_0(A) & v5_group_1(A)) ) ) ) ) ).
fof(cc7_cayldick, axiom,  (! [A] :  (l5_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v34_algstr_0(A) & v5_group_1(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v33_algstr_0(A) & v5_group_1(A)) ) ) ) ) ).
fof(cc8_cayldick, axiom,  (! [A] :  (l5_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v31_algstr_0(A) & v5_group_1(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v30_algstr_0(A) & v5_group_1(A)) ) ) ) ) ).
fof(cc9_cayldick, axiom,  (! [A] :  (l5_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v30_algstr_0(A) & v5_group_1(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v31_algstr_0(A) & v5_group_1(A)) ) ) ) ) ).
fof(cc10_cayldick, axiom,  (! [A] :  (l3_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v20_algstr_0(A) & v5_group_1(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v19_algstr_0(A) & v5_group_1(A)) ) ) ) ) ).
fof(cc11_cayldick, axiom,  (! [A] :  (l3_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v19_algstr_0(A) & v5_group_1(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v20_algstr_0(A) & v5_group_1(A)) ) ) ) ) ).
fof(fc13_cayldick, axiom,  (v6_algstr_0(k3_cayldick) &  (v13_algstr_0(k3_cayldick) & v1_cayldick(k3_cayldick)) ) ).
fof(ie3_cayldick, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k3_cayldick)) & v1_xreal_0(B))  =>  (A=B => k4_algstr_0(k3_cayldick, A)=k4_xcmplx_0(B)) ) ) ).
fof(ie4_cayldick, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, u1_struct_0(k3_cayldick)) &  (m1_subset_1(B, u1_struct_0(k3_cayldick)) &  (v1_xreal_0(C) & v1_xreal_0(D)) ) )  =>  ( (A=C & B=D)  => k5_algstr_0(k3_cayldick, A, B)=k6_xcmplx_0(C, D)) ) ) ).
fof(ie5_cayldick, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, u1_struct_0(k3_cayldick)) &  (v1_xreal_0(B) & v1_xreal_0(C)) )  =>  (A=C => k1_rlvect_1(k3_cayldick, A, B)=k3_xcmplx_0(B, C)) ) ) ).
fof(ie6_cayldick, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k3_cayldick)) => k2_normsp_0(k3_cayldick, A)=k9_complex1(A)) ) ).
fof(rd1_cayldick, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k3_cayldick)) => k2_cayldick(k3_cayldick, A)=A) ) ).
fof(fc14_cayldick, axiom,  (v30_algstr_0(k3_cayldick) &  (v33_algstr_0(k3_cayldick) &  (v4_rlvect_1(k3_cayldick) &  (v5_rlvect_1(k3_cayldick) &  (v6_rlvect_1(k3_cayldick) &  (v7_rlvect_1(k3_cayldick) &  (v8_rlvect_1(k3_cayldick) &  (v2_funcsdom(k3_cayldick) &  (v3_normsp_0(k3_cayldick) &  (v4_normsp_0(k3_cayldick) &  (v2_normsp_1(k3_cayldick) &  (v1_vectsp_1(k3_cayldick) &  (v4_vectsp_1(k3_cayldick) &  (v2_lopban_2(k3_cayldick) &  (v3_lopban_2(k3_cayldick) &  (v4_lopban_2(k3_cayldick) &  (v1_cayldick(k3_cayldick) &  (v3_cayldick(k3_cayldick) &  (v4_cayldick(k3_cayldick) &  (v5_cayldick(k3_cayldick) & v6_cayldick(k3_cayldick)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc5_cayldick, axiom,  (? [A] :  (l1_cayldick(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v7_algstr_0(A) &  (v14_algstr_0(A) &  (v30_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v9_rlvect_1(A) &  (v2_funcsdom(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_lopban_2(A) &  (v3_lopban_2(A) &  (v4_lopban_2(A) &  (v3_topmetr(A) &  (v1_cayldick(A) &  (v3_cayldick(A) &  (v4_cayldick(A) &  (v5_cayldick(A) & v6_cayldick(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc15_cayldick, axiom,  ( ~ (v23_algstr_0(k4_struct_0(k3_cayldick), k3_cayldick))  &  ~ (v24_algstr_0(k4_struct_0(k3_cayldick), k3_cayldick)) ) ).
fof(ie7_cayldick, axiom,  (! [A, B] :  ( ( ( ~ (v9_struct_0(A, k3_cayldick))  & m1_subset_1(A, u1_struct_0(k3_cayldick)))  & v1_xreal_0(B))  =>  (A=B => k9_algstr_0(k3_cayldick, A)=k5_xcmplx_0(B)) ) ) ).
fof(fc16_cayldick, axiom,  (! [A, B] :  ( ( ( ~ (v7_struct_0(A))  &  (v3_normsp_0(A) & l1_cayldick(A)) )  &  ( ~ (v9_struct_0(B, A))  & m1_subset_1(B, u1_struct_0(A))) )  =>  ( ~ (v8_ordinal1(k2_normsp_0(A, B)))  & v1_xreal_0(k2_normsp_0(A, B))) ) ) ).
fof(cc12_cayldick, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k3_cayldick)) =>  ( ~ (v9_struct_0(A, k3_cayldick))  =>  ( ~ (v1_xboole_0(A))  &  ~ (v9_struct_0(A, k3_cayldick)) ) ) ) ) ).
fof(cc13_cayldick, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k3_cayldick)) =>  ( ~ (v9_struct_0(A, k3_cayldick))  =>  ( ~ (v9_struct_0(A, k3_cayldick))  & v18_algstr_0(A, k3_cayldick)) ) ) ) ).
fof(cc14_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_cayldick(A) & l1_cayldick(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v2_cayldick(B, A)) ) ) ) ).
fof(fc17_cayldick, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_cayldick(A) & l1_cayldick(A)) )  &  (v9_struct_0(B, A) & m1_subset_1(B, u1_struct_0(A))) )  => v9_struct_0(k2_cayldick(A, B), A)) ) ).
fof(rd2_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_cayldick(A) & l1_cayldick(A)) )  => k2_cayldick(A, k4_struct_0(A))=k4_struct_0(A)) ) ).
fof(fc18_cayldick, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v2_vectsp_1(A) &  (v3_cayldick(A) & l1_cayldick(A)) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v9_struct_0(B, A))  & m1_subset_1(B, u1_struct_0(A))) )  =>  ~ (v9_struct_0(k2_cayldick(A, B), A)) ) ) ).
fof(rd3_cayldick, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v31_algstr_0(A) &  (v33_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v3_cayldick(A) &  (v5_cayldick(A) & l1_cayldick(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => k2_cayldick(A, k2_cayldick(A, B))=B) ) ).
fof(rd4_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v31_algstr_0(A) &  (v8_rlvect_1(A) &  (v6_vectsp_1(A) &  (v3_lopban_2(A) &  (v3_cayldick(A) & l1_cayldick(A)) ) ) ) ) )  => k2_cayldick(A, k5_struct_0(A))=k5_struct_0(A)) ) ).
fof(rd5_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v31_algstr_0(A) &  (v8_rlvect_1(A) &  (v3_vectsp_1(A) &  (v3_lopban_2(A) &  (v3_cayldick(A) & l1_cayldick(A)) ) ) ) ) )  => k2_cayldick(A, k5_struct_0(A))=k5_struct_0(A)) ) ).
fof(fc19_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_cayldick(A))  =>  ( ~ (v2_struct_0(k4_cayldick(A)))  & v1_cayldick(k4_cayldick(A))) ) ) ).
fof(fc20_cayldick, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_cayldick(A))  &  ( (v9_struct_0(B, A) & m1_subset_1(B, u1_struct_0(A)))  &  (v9_struct_0(C, A) & m1_subset_1(C, u1_struct_0(A))) ) )  => v9_struct_0(k6_afinsq_1(B, C), k4_cayldick(A))) ) ).
fof(fc21_cayldick, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  & l1_cayldick(A)) )  &  ( ( ~ (v9_struct_0(B, A))  & m1_subset_1(B, u1_struct_0(A)))  & m1_subset_1(C, u1_struct_0(A))) )  =>  ~ (v9_struct_0(k6_afinsq_1(B, C), k4_cayldick(A))) ) ) ).
fof(fc22_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_normsp_0(A) & l1_cayldick(A)) )  =>  (v4_normsp_0(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A))) ) ) ).
fof(fc23_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_normsp_0(A) & l1_cayldick(A)) )  =>  (v3_normsp_0(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A))) ) ) ).
fof(fc24_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) & l1_cayldick(A)) )  =>  (v3_rlvect_1(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A))) ) ) ).
fof(fc25_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_rlvect_1(A) & l1_cayldick(A)) )  =>  (v4_rlvect_1(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A))) ) ) ).
fof(fc26_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_algstr_1(A) & l1_cayldick(A)) )  =>  (v1_algstr_1(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A))) ) ) ).
fof(fc27_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) & l1_cayldick(A)) )  =>  (v13_algstr_0(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A))) ) ) ).
fof(fc28_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v12_algstr_0(A) & l1_cayldick(A)) )  =>  (v12_algstr_0(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A))) ) ) ).
fof(fc29_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) & l1_cayldick(A)) )  =>  (v2_rlvect_1(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A))) ) ) ).
fof(fc30_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v31_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_lopban_2(A) &  (v3_cayldick(A) & l1_cayldick(A)) ) ) ) ) ) ) ) ) )  =>  (v4_vectsp_1(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A))) ) ) ).
fof(fc31_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  & l1_cayldick(A)) )  =>  ( ~ (v6_struct_0(k4_cayldick(A)))  & v1_cayldick(k4_cayldick(A))) ) ) ).
fof(fc32_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_cayldick(A) & l1_cayldick(A)) ) ) ) ) )  =>  (v1_cayldick(k4_cayldick(A)) & v4_cayldick(k4_cayldick(A))) ) ) ).
fof(fc33_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v5_cayldick(A) & l1_cayldick(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_cayldick(k4_cayldick(A)) & v5_cayldick(k4_cayldick(A))) ) ) ).
fof(fc34_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_cayldick(A) & l1_cayldick(A)) ) ) ) ) ) ) ) ) )  =>  (v1_cayldick(k4_cayldick(A)) & v6_cayldick(k4_cayldick(A))) ) ) ).
fof(fc35_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) & l1_cayldick(A)) ) ) ) ) )  =>  (v2_vectsp_1(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A))) ) ) ).
fof(fc36_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v4_cayldick(A) & l1_cayldick(A)) ) ) ) ) ) )  =>  (v1_vectsp_1(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A))) ) ) ).
fof(fc37_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_cayldick(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (v2_normsp_1(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A))) ) ) ).
fof(fc38_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_rlvect_1(A) & l1_cayldick(A)) )  =>  (v5_rlvect_1(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A))) ) ) ).
fof(fc39_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_funcsdom(A) &  (v4_lopban_2(A) & l1_cayldick(A)) ) ) ) ) ) ) ) ) ) )  =>  (v2_funcsdom(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A))) ) ) ).
fof(fc40_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_rlvect_1(A) & l1_cayldick(A)) )  =>  (v6_rlvect_1(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A))) ) ) ).
fof(fc41_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_rlvect_1(A) & l1_cayldick(A)) )  =>  (v7_rlvect_1(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A))) ) ) ).
fof(fc42_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_rlvect_1(A) & l1_cayldick(A)) )  =>  (v8_rlvect_1(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A))) ) ) ).
fof(fc43_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_normsp_0(A) &  (v3_lopban_2(A) & l1_cayldick(A)) ) )  =>  (v3_lopban_2(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A))) ) ) ).
fof(fc44_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_funcsdom(A) &  (v4_lopban_2(A) &  (v6_cayldick(A) & l1_cayldick(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (v4_lopban_2(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A))) ) ) ).
fof(fc45_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v5_vectsp_1(A) &  (v3_cayldick(A) & l1_cayldick(A)) ) ) ) ) ) ) ) ) ) )  =>  (v1_cayldick(k4_cayldick(A)) & v3_cayldick(k4_cayldick(A))) ) ) ).
fof(fc46_cayldick, axiom,  (v3_group_1(k4_cayldick(k3_cayldick)) &  (v5_group_1(k4_cayldick(k3_cayldick)) & v1_cayldick(k4_cayldick(k3_cayldick))) ) ).
fof(fc47_cayldick, axiom,  (v3_group_1(k4_cayldick(k4_cayldick(k3_cayldick))) &  ( ~ (v5_group_1(k4_cayldick(k4_cayldick(k3_cayldick))))  & v1_cayldick(k4_cayldick(k4_cayldick(k3_cayldick)))) ) ).
fof(fc48_cayldick, axiom,  ( ~ (v3_group_1(k4_cayldick(k4_cayldick(k4_cayldick(k3_cayldick)))))  &  ( ~ (v5_group_1(k4_cayldick(k4_cayldick(k4_cayldick(k3_cayldick)))))  & v1_cayldick(k4_cayldick(k4_cayldick(k4_cayldick(k3_cayldick))))) ) ).
fof(t1_cayldick, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => r1_xxreal_0(k2_xcmplx_0(k1_square_1(k2_xcmplx_0(A, B)), k1_square_1(k2_xcmplx_0(C, D))), k1_square_1(k2_xcmplx_0(k3_square_1(k2_xcmplx_0(k1_square_1(A), k1_square_1(C))), k3_square_1(k2_xcmplx_0(k1_square_1(B), k1_square_1(D))))))) ) ) ) ) ) ) ) ).
fof(t2_cayldick, axiom,  (! [A] :  (! [B] :  (k5_afinsq_1(A)=k5_afinsq_1(B) => A=B) ) ) ).
fof(t3_cayldick, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (k6_afinsq_1(A, B)=k6_afinsq_1(C, D) =>  (A=C & B=D) ) ) ) ) ) ).
fof(t4_cayldick, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => r2_tarski(k5_afinsq_1(A), k4_card_3(k5_afinsq_1(B)))) ) ) ).
fof(t5_cayldick, axiom,  (! [A] :  (! [B] :  ~ ( (r2_tarski(A, k4_card_3(k5_afinsq_1(B))) &  (! [C] :  ~ ( (r2_tarski(C, B) & A=k5_afinsq_1(C)) ) ) ) ) ) ) ).
fof(t6_cayldick, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (r2_tarski(A, C) & r2_tarski(B, D))  => r2_tarski(k6_afinsq_1(A, B), k4_card_3(k6_afinsq_1(C, D)))) ) ) ) ) ).
fof(t7_cayldick, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( (r2_tarski(A, k4_card_3(k6_afinsq_1(B, C))) &  (! [D] :  (! [E] :  ~ ( (r2_tarski(D, B) &  (r2_tarski(E, C) & A=k6_afinsq_1(D, E)) ) ) ) ) ) ) ) ) ) ).
fof(d2_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_cayldick(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_cayldick(A, B)=k3_funct_2(u1_struct_0(A), u1_struct_0(A), u1_cayldick(A), B)) ) ) ) ).
fof(d3_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_cayldick(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ( ~ (v9_struct_0(B, A))  =>  (v2_cayldick(B, A) <=> k6_algstr_0(A, k2_cayldick(A, B), B)=k1_rlvect_1(A, k5_struct_0(A), k1_square_1(k2_normsp_0(A, B)))) )  &  (v9_struct_0(B, A) =>  (v2_cayldick(B, A) <=> v9_struct_0(k2_cayldick(A, B), A)) ) ) ) ) ) ) ).
fof(d4_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_cayldick(A))  =>  (v3_cayldick(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v2_cayldick(B, A)) ) ) ) ) ).
fof(d5_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_cayldick(A))  =>  (v4_cayldick(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_cayldick(A, k1_algstr_0(A, B, C))=k1_algstr_0(A, k2_cayldick(A, B), k2_cayldick(A, C))) ) ) ) ) ) ) ).
fof(d6_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_cayldick(A))  =>  (v5_cayldick(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_normsp_0(A, k2_cayldick(A, B))=k2_normsp_0(A, B)) ) ) ) ) ).
fof(d7_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_cayldick(A))  =>  (v6_cayldick(A) <=>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_rlvect_1(A, k2_cayldick(A, C), B)=k2_cayldick(A, k1_rlvect_1(A, C, B))) ) ) ) ) ) ) ).
fof(d8_cayldick, axiom, k3_cayldick=g1_cayldick(k1_numbers, k11_binop_2, k9_binop_2, k11_binop_2, k10_subset_1(1, k1_numbers), k10_subset_1(k5_numbers, k1_numbers), k2_euclid, k6_partfun1(k1_numbers))).
fof(t8_cayldick, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k3_cayldick)) => k8_group_1(k3_cayldick, A, A)=k1_square_1(k2_normsp_0(k3_cayldick, A))) ) ).
fof(t9_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_cayldick(A))  =>  ( (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v13_algstr_0(A) &  (v3_cayldick(A) &  (v4_normsp_0(A) &  (v6_rlvect_1(A) &  (v8_rlvect_1(A) &  (v5_rlvect_1(A) & v2_vectsp_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_algstr_0(A, k2_cayldick(A, B), B)=k1_rlvect_1(A, k5_struct_0(A), k1_square_1(k2_normsp_0(A, B)))) ) ) ) ) ).
fof(t10_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_cayldick(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (v3_cayldick(A) &  (v4_normsp_0(A) &  (v3_normsp_0(A) &  (v2_normsp_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_vectsp_1(A) &  (v4_vectsp_1(A) & v33_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (v6_struct_0(A) | k2_cayldick(A, k4_algstr_0(A, B))=k4_algstr_0(A, k2_cayldick(A, B))) ) ) ) ) ) ).
fof(t11_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_cayldick(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v3_cayldick(A) &  (v4_normsp_0(A) &  (v3_normsp_0(A) &  (v2_normsp_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_vectsp_1(A) &  (v4_vectsp_1(A) &  (v33_algstr_0(A) & v4_cayldick(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (v6_struct_0(A) | k2_cayldick(A, k5_algstr_0(A, B, C))=k5_algstr_0(A, k2_cayldick(A, B), k2_cayldick(A, C))) ) ) ) ) ) ) ) ).
fof(d9_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_cayldick(A))  =>  (! [B] :  ( (v1_cayldick(B) & l1_cayldick(B))  =>  (B=k4_cayldick(A) <=>  (u1_struct_0(B)=k4_card_3(k6_afinsq_1(u1_struct_0(A), u1_struct_0(A))) &  (u2_struct_0(B)=k6_afinsq_1(k4_struct_0(A), k4_struct_0(A)) &  (u3_struct_0(B)=k6_afinsq_1(k5_struct_0(A), k4_struct_0(A)) &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (k1_binop_1(u1_algstr_0(B), k6_afinsq_1(C, E), k6_afinsq_1(D, F))=k6_afinsq_1(k1_algstr_0(A, C, D), k1_algstr_0(A, E, F)) & k1_binop_1(u2_algstr_0(B), k6_afinsq_1(C, E), k6_afinsq_1(D, F))=k6_afinsq_1(k5_algstr_0(A, k6_algstr_0(A, C, D), k6_algstr_0(A, k2_cayldick(A, F), E)), k1_algstr_0(A, k6_algstr_0(A, F, C), k6_algstr_0(A, E, k2_cayldick(A, D))))) ) ) ) ) ) ) ) )  &  ( (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k1_binop_1(u1_rlvect_1(B), C, k6_afinsq_1(D, E))=k6_afinsq_1(k1_rlvect_1(A, D, C), k1_rlvect_1(A, E, C))) ) ) ) ) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k1_funct_1(u1_normsp_0(B), k6_afinsq_1(C, D))=k3_square_1(k2_xcmplx_0(k1_square_1(k2_normsp_0(A, C)), k1_square_1(k2_normsp_0(A, D)))) & k1_funct_1(u1_cayldick(B), k6_afinsq_1(C, D))=k6_afinsq_1(k2_cayldick(A, C), k4_algstr_0(A, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_cayldick(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_cayldick(A))) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & B=k6_afinsq_1(C, D)) ) ) ) ) ) ) ) ).
fof(t13_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_cayldick(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_cayldick(k4_cayldick(A)))) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) & B=k6_afinsq_1(k6_afinsq_1(C, D), k6_afinsq_1(E, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_cayldick(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v9_algstr_0(B, A) & v9_algstr_0(C, A))  => v9_algstr_0(k5_cayldick(A, B, C), k4_cayldick(A))) ) ) ) ) ) ) ).
fof(t15_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_cayldick(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v9_algstr_0(k5_cayldick(A, B, C), k4_cayldick(A)) =>  (v9_algstr_0(B, A) & v9_algstr_0(C, A)) ) ) ) ) ) ) ) ).
fof(t16_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_cayldick(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v10_algstr_0(B, A) & v10_algstr_0(C, A))  => v10_algstr_0(k5_cayldick(A, B, C), k4_cayldick(A))) ) ) ) ) ) ) ).
fof(t17_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_cayldick(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v10_algstr_0(k5_cayldick(A, B, C), k4_cayldick(A)) =>  (v10_algstr_0(B, A) & v10_algstr_0(C, A)) ) ) ) ) ) ) ) ).
fof(t18_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_cayldick(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v11_algstr_0(B, A) & v11_algstr_0(C, A))  => v11_algstr_0(k5_cayldick(A, B, C), k4_cayldick(A))) ) ) ) ) ) ) ).
fof(t19_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_cayldick(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v11_algstr_0(k5_cayldick(A, B, C), k4_cayldick(A)) =>  (v11_algstr_0(B, A) & v11_algstr_0(C, A)) ) ) ) ) ) ) ) ).
fof(t20_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_cayldick(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v2_algstr_0(B, A) & v2_algstr_0(C, A))  => v2_algstr_0(k5_cayldick(A, B, C), k4_cayldick(A))) ) ) ) ) ) ) ).
fof(t21_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_cayldick(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v2_algstr_0(k5_cayldick(A, B, C), k4_cayldick(A)) =>  (v2_algstr_0(B, A) & v2_algstr_0(C, A)) ) ) ) ) ) ) ) ).
fof(t22_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_cayldick(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v3_algstr_0(B, A) & v3_algstr_0(C, A))  => v3_algstr_0(k5_cayldick(A, B, C), k4_cayldick(A))) ) ) ) ) ) ) ).
fof(t23_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_cayldick(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v3_algstr_0(k5_cayldick(A, B, C), k4_cayldick(A)) =>  (v3_algstr_0(B, A) & v3_algstr_0(C, A)) ) ) ) ) ) ) ) ).
fof(t24_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_cayldick(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v4_algstr_0(B, A) & v4_algstr_0(C, A))  => v4_algstr_0(k5_cayldick(A, B, C), k4_cayldick(A))) ) ) ) ) ) ) ).
fof(t25_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_cayldick(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v4_algstr_0(k5_cayldick(A, B, C), k4_cayldick(A)) =>  (v4_algstr_0(B, A) & v4_algstr_0(C, A)) ) ) ) ) ) ) ) ).
fof(t26_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_cayldick(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v9_algstr_0(k5_cayldick(A, B, C), k4_cayldick(A)) & v3_algstr_0(k5_cayldick(A, B, C), k4_cayldick(A)))  => k4_algstr_0(k4_cayldick(A), k5_cayldick(A, B, C))=k5_cayldick(A, k4_algstr_0(A, B), k4_algstr_0(A, C))) ) ) ) ) ) ) ).
fof(t27_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_cayldick(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v3_rlvect_1(A) &  (v4_rlvect_1(A) & v13_algstr_0(A)) )  => k4_algstr_0(k4_cayldick(A), k5_cayldick(A, B, C))=k5_cayldick(A, k4_algstr_0(A, B), k4_algstr_0(A, C))) ) ) ) ) ) ) ).
fof(t28_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_cayldick(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (v3_rlvect_1(A) &  (v4_rlvect_1(A) & v13_algstr_0(A)) )  => k5_algstr_0(k4_cayldick(A), k5_cayldick(A, B, D), k5_cayldick(A, C, E))=k5_cayldick(A, k5_algstr_0(A, B, C), k5_algstr_0(A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_cayldick, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v31_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_funcsdom(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v3_lopban_2(A) &  (v4_lopban_2(A) &  (v3_cayldick(A) &  (v4_cayldick(A) & l1_cayldick(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v17_algstr_0(k5_cayldick(A, B, C), k4_cayldick(A)) & v23_algstr_0(k5_cayldick(A, B, C), k4_cayldick(A)))  =>  ( (v9_struct_0(B, A) & v9_struct_0(C, A))  | k9_algstr_0(k4_cayldick(A), k5_cayldick(A, B, C))=k5_cayldick(A, k1_rlvect_1(A, k2_cayldick(A, B), k7_xcmplx_0(1, k2_xcmplx_0(k1_square_1(k2_normsp_0(A, B)), k1_square_1(k2_normsp_0(A, C))))), k1_rlvect_1(A, k4_algstr_0(A, C), k7_xcmplx_0(1, k2_xcmplx_0(k1_square_1(k2_normsp_0(A, B)), k1_square_1(k2_normsp_0(A, C))))))) ) ) ) ) ) ) ) ).
fof(t30_cayldick, axiom, k6_algstr_0(k4_cayldick(k4_cayldick(k3_cayldick)), k5_cayldick(k4_cayldick(k3_cayldick), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k5_struct_0(k3_cayldick)), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick))), k5_cayldick(k4_cayldick(k3_cayldick), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick)), k5_cayldick(k3_cayldick, k5_struct_0(k3_cayldick), k4_struct_0(k3_cayldick))))=k5_cayldick(k4_cayldick(k3_cayldick), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick)), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k5_struct_0(k3_cayldick)))).
fof(t31_cayldick, axiom, k6_algstr_0(k4_cayldick(k4_cayldick(k3_cayldick)), k5_cayldick(k4_cayldick(k3_cayldick), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick)), k5_cayldick(k3_cayldick, k5_struct_0(k3_cayldick), k4_struct_0(k3_cayldick))), k5_cayldick(k4_cayldick(k3_cayldick), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k5_struct_0(k3_cayldick)), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick))))=k5_cayldick(k4_cayldick(k3_cayldick), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick)), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_algstr_0(k3_cayldick, k5_struct_0(k3_cayldick))))).
fof(t32_cayldick, axiom, k6_algstr_0(k4_cayldick(k4_cayldick(k4_cayldick(k3_cayldick))), k5_cayldick(k4_cayldick(k4_cayldick(k3_cayldick)), k5_cayldick(k4_cayldick(k3_cayldick), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k5_struct_0(k3_cayldick)), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick))), k5_cayldick(k4_cayldick(k3_cayldick), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick)), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick)))), k5_cayldick(k4_cayldick(k4_cayldick(k3_cayldick)), k5_cayldick(k4_cayldick(k3_cayldick), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick)), k5_cayldick(k3_cayldick, k5_struct_0(k3_cayldick), k4_struct_0(k3_cayldick))), k5_cayldick(k4_cayldick(k3_cayldick), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick)), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick)))))=k5_cayldick(k4_cayldick(k4_cayldick(k3_cayldick)), k5_cayldick(k4_cayldick(k3_cayldick), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick)), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k5_struct_0(k3_cayldick))), k5_cayldick(k4_cayldick(k3_cayldick), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick)), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick))))).
fof(t33_cayldick, axiom, k6_algstr_0(k4_cayldick(k4_cayldick(k4_cayldick(k3_cayldick))), k5_cayldick(k4_cayldick(k4_cayldick(k3_cayldick)), k5_cayldick(k4_cayldick(k3_cayldick), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick)), k5_cayldick(k3_cayldick, k5_struct_0(k3_cayldick), k4_struct_0(k3_cayldick))), k5_cayldick(k4_cayldick(k3_cayldick), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick)), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick)))), k5_cayldick(k4_cayldick(k4_cayldick(k3_cayldick)), k5_cayldick(k4_cayldick(k3_cayldick), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k5_struct_0(k3_cayldick)), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick))), k5_cayldick(k4_cayldick(k3_cayldick), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick)), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick)))))=k5_cayldick(k4_cayldick(k4_cayldick(k3_cayldick)), k5_cayldick(k4_cayldick(k3_cayldick), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick)), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_algstr_0(k3_cayldick, k5_struct_0(k3_cayldick)))), k5_cayldick(k4_cayldick(k3_cayldick), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick)), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick))))).
fof(t34_cayldick, axiom, k6_algstr_0(k4_cayldick(k4_cayldick(k4_cayldick(k3_cayldick))), k6_algstr_0(k4_cayldick(k4_cayldick(k4_cayldick(k3_cayldick))), k5_cayldick(k4_cayldick(k4_cayldick(k3_cayldick)), k5_cayldick(k4_cayldick(k3_cayldick), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k5_struct_0(k3_cayldick)), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick))), k5_cayldick(k4_cayldick(k3_cayldick), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick)), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick)))), k5_cayldick(k4_cayldick(k4_cayldick(k3_cayldick)), k5_cayldick(k4_cayldick(k3_cayldick), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick)), k5_cayldick(k3_cayldick, k5_struct_0(k3_cayldick), k4_struct_0(k3_cayldick))), k5_cayldick(k4_cayldick(k3_cayldick), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick)), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick))))), k5_cayldick(k4_cayldick(k4_cayldick(k3_cayldick)), k5_cayldick(k4_cayldick(k3_cayldick), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick)), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick))), k5_cayldick(k4_cayldick(k3_cayldick), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k5_struct_0(k3_cayldick)), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick)))))=k5_cayldick(k4_cayldick(k4_cayldick(k3_cayldick)), k5_cayldick(k4_cayldick(k3_cayldick), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick)), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick))), k5_cayldick(k4_cayldick(k3_cayldick), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick)), k5_cayldick(k3_cayldick, k4_algstr_0(k3_cayldick, k5_struct_0(k3_cayldick)), k4_struct_0(k3_cayldick))))).
fof(t35_cayldick, axiom, k6_algstr_0(k4_cayldick(k4_cayldick(k4_cayldick(k3_cayldick))), k5_cayldick(k4_cayldick(k4_cayldick(k3_cayldick)), k5_cayldick(k4_cayldick(k3_cayldick), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k5_struct_0(k3_cayldick)), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick))), k5_cayldick(k4_cayldick(k3_cayldick), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick)), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick)))), k6_algstr_0(k4_cayldick(k4_cayldick(k4_cayldick(k3_cayldick))), k5_cayldick(k4_cayldick(k4_cayldick(k3_cayldick)), k5_cayldick(k4_cayldick(k3_cayldick), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick)), k5_cayldick(k3_cayldick, k5_struct_0(k3_cayldick), k4_struct_0(k3_cayldick))), k5_cayldick(k4_cayldick(k3_cayldick), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick)), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick)))), k5_cayldick(k4_cayldick(k4_cayldick(k3_cayldick)), k5_cayldick(k4_cayldick(k3_cayldick), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick)), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick))), k5_cayldick(k4_cayldick(k3_cayldick), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k5_struct_0(k3_cayldick)), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick))))))=k5_cayldick(k4_cayldick(k4_cayldick(k3_cayldick)), k5_cayldick(k4_cayldick(k3_cayldick), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick)), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick))), k5_cayldick(k4_cayldick(k3_cayldick), k5_cayldick(k3_cayldick, k4_struct_0(k3_cayldick), k4_struct_0(k3_cayldick)), k5_cayldick(k3_cayldick, k5_struct_0(k3_cayldick), k4_struct_0(k3_cayldick))))).
fof(dt_k1_cayldick, axiom,  (! [A] :  (v1_funct_1(k1_cayldick(A)) &  (v1_funct_2(k1_cayldick(A), k2_zfmisc_1(A, A), A) & m1_subset_1(k1_cayldick(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) ) ).
fof(abstractness_v1_cayldick, axiom,  (! [A] :  (l1_cayldick(A) =>  (v1_cayldick(A) => A=g1_cayldick(u1_struct_0(A), u2_algstr_0(A), u1_algstr_0(A), u1_rlvect_1(A), u3_struct_0(A), u2_struct_0(A), u1_normsp_0(A), u1_cayldick(A))) ) ) ).
fof(dt_l1_cayldick, axiom,  (! [A] :  (l1_cayldick(A) => l1_lopban_2(A)) ) ).
fof(existence_l1_cayldick, axiom,  (? [A] : l1_cayldick(A)) ).
fof(dt_g1_cayldick, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k1_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, A), A)))) )  &  (m1_subset_1(E, A) &  (m1_subset_1(F, A) &  ( (v1_funct_1(G) &  (v1_funct_2(G, A, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(H) &  (v1_funct_2(H, A, A) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ) ) )  =>  (v1_cayldick(g1_cayldick(A, B, C, D, E, F, G, H)) & l1_cayldick(g1_cayldick(A, B, C, D, E, F, G, H))) ) ) ).
fof(free_g1_cayldick, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k1_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, A), A)))) )  &  (m1_subset_1(E, A) &  (m1_subset_1(F, A) &  ( (v1_funct_1(G) &  (v1_funct_2(G, A, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(H) &  (v1_funct_2(H, A, A) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ) ) )  =>  (! [I, J, K, L, M, N, O, P] :  (g1_cayldick(A, B, C, D, E, F, G, H)=g1_cayldick(I, J, K, L, M, N, O, P) =>  (A=I &  (B=J &  (C=K &  (D=L &  (E=M &  (F=N &  (G=O & H=P) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_u1_cayldick, axiom,  (! [A] :  (l1_cayldick(A) =>  (v1_funct_1(u1_cayldick(A)) &  (v1_funct_2(u1_cayldick(A), u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(u1_cayldick(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ).
fof(dt_k2_cayldick, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_cayldick(A))  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k2_cayldick(A, B), u1_struct_0(A))) ) ).
fof(dt_k3_cayldick, axiom,  (v1_cayldick(k3_cayldick) & l1_cayldick(k3_cayldick)) ).
fof(dt_k4_cayldick, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_cayldick(A))  =>  (v1_cayldick(k4_cayldick(A)) & l1_cayldick(k4_cayldick(A))) ) ) ).
fof(dt_k5_cayldick, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_cayldick(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k5_cayldick(A, B, C), u1_struct_0(k4_cayldick(A)))) ) ).
fof(redefinition_k5_cayldick, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_cayldick(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k5_cayldick(A, B, C)=k6_afinsq_1(B, C)) ) ).
fof(d1_cayldick, axiom,  (! [A] : k1_cayldick(A)=k7_funcop_1(k2_zfmisc_1(A, A), o_1_0_cayldick(A))) ).
fof(dt_o_1_0_cayldick, axiom,  (! [A] : m1_subset_1(o_1_0_cayldick(A), A)) ).
fof(fc1_cayley, axiom,  (! [A] : v2_funct_2(k1_partit_2(A, k1_xboole_0), k1_xboole_0)) ).
fof(cc1_cayley, axiom,  (! [A] :  (v4_matrix_1(A) => v4_funct_1(A)) ) ).
fof(fc2_cayley, axiom,  (! [A] :  ( ~ (v1_xboole_0(k1_cayley(A)))  & v4_funct_1(k1_cayley(A))) ) ).
fof(fc3_cayley, axiom,  (! [A] :  (v1_finset_1(A) => v1_finset_1(k1_cayley(A))) ) ).
fof(fc4_cayley, axiom,  (! [A] :  ( ~ (v2_struct_0(k2_cayley(A)))  &  (v15_algstr_0(k2_cayley(A)) &  (v2_group_1(k2_cayley(A)) &  (v3_group_1(k2_cayley(A)) & v1_monoid_0(k2_cayley(A))) ) ) ) ) ).
fof(fc5_cayley, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v15_algstr_0(k10_matrix_1(A)) & v1_monoid_0(k10_matrix_1(A))) ) ) ).
fof(fc6_cayley, axiom,  (! [A] :  (v1_finset_1(A) =>  (v8_struct_0(k2_cayley(A)) &  (v15_algstr_0(k2_cayley(A)) & v1_monoid_0(k2_cayley(A))) ) ) ) ).
fof(fc7_cayley, axiom,  (v7_struct_0(k2_cayley(k1_xboole_0)) &  (v15_algstr_0(k2_cayley(k1_xboole_0)) & v1_monoid_0(k2_cayley(k1_xboole_0))) ) ).
fof(fc8_cayley, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (v1_funct_1(k4_cayley(A)) &  (v1_funct_2(k4_cayley(A), u1_struct_0(A), u1_struct_0(k2_cayley(u1_struct_0(A)))) & v1_group_6(k4_cayley(A), A, k2_cayley(u1_struct_0(A)))) ) ) ) ).
fof(fc9_cayley, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (v1_funct_1(k4_cayley(A)) &  (v2_funct_1(k4_cayley(A)) & v1_funct_2(k4_cayley(A), u1_struct_0(A), u1_struct_0(k2_cayley(u1_struct_0(A))))) ) ) ) ).
fof(t1_cayley, axiom,  (! [A] :  (! [B] :  (r2_tarski(B, k1_cayley(A)) =>  (v1_funct_1(B) &  (v1_funct_2(B, A, A) &  (v3_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ) ).
fof(t2_cayley, axiom,  (! [A] : r1_tarski(k1_cayley(A), k1_funct_2(A, A))) ).
fof(t3_cayley, axiom,  (! [A] :  (v7_ordinal1(A) => k1_cayley(k2_finseq_1(A))=k9_matrix_1(A)) ) ).
fof(t4_cayley, axiom, k1_cayley(k1_xboole_0)=k1_tarski(k1_xboole_0)).
fof(d2_cayley, axiom,  (! [A] :  (! [B] :  ( (v15_algstr_0(B) &  (v1_monoid_0(B) & l3_algstr_0(B)) )  =>  (B=k2_cayley(A) <=>  (u1_struct_0(B)=k1_cayley(A) &  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k6_algstr_0(B, C, D)=k3_relat_1(C, D)) ) ) ) ) ) ) ) ) ).
fof(t5_cayley, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_cayley(A))) =>  (v1_funct_1(B) &  (v1_funct_2(B, A, A) &  (v3_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ) ).
fof(t6_cayley, axiom,  (! [A] : k1_group_1(k2_cayley(A))=k6_partfun1(A)) ).
fof(t7_cayley, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_cayley(A))) => k2_group_1(k2_cayley(A), B)=k2_funct_1(B)) ) ) ).
fof(t8_cayley, axiom,  (! [A] :  (v7_ordinal1(A) => k2_cayley(k2_finseq_1(A))=k10_matrix_1(A)) ) ).
fof(t9_cayley, axiom, k2_cayley(k1_xboole_0)=k7_algstr_0).
fof(d3_cayley, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v3_funct_2(C, A, B) =>  (A=k1_xboole_0 |  (B=k1_xboole_0 |  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k2_cayley(A)), u1_struct_0(k2_cayley(B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_cayley(A)), u1_struct_0(k2_cayley(B)))))) )  =>  (D=k3_cayley(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_cayley(A))) => k3_funct_2(u1_struct_0(k2_cayley(A)), u1_struct_0(k2_cayley(B)), D, E)=k3_relat_1(k2_funct_1(C), k3_relat_1(E, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_cayley, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v3_funct_2(C, A, B) => v1_group_6(k3_cayley(A, B, C), k2_cayley(A), k2_cayley(B))) ) ) ) ) ) ) ).
fof(t11_cayley, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v3_funct_2(C, A, B) => v2_funct_1(k3_cayley(A, B, C))) ) ) ) ) ) ) ).
fof(t12_cayley, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v3_funct_2(C, A, B) => v2_funct_2(k3_cayley(A, B, C), u1_struct_0(k2_cayley(B)))) ) ) ) ) ) ) ).
fof(t13_cayley, axiom,  (! [A] :  (! [B] :  (r3_tarski(A, B) => r2_group_6(k2_cayley(A), k2_cayley(B))) ) ) ).
fof(d4_cayley, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k2_cayley(u1_struct_0(A)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k2_cayley(u1_struct_0(A))))))) )  =>  (B=k4_cayley(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(k2_cayley(u1_struct_0(A))), B, C)=k2_topgrp_1(A, C)) ) ) ) ) ) ) ).
fof(t14_cayley, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  => r2_group_6(A, k10_group_6(A, k2_cayley(u1_struct_0(A)), k4_cayley(A)))) ) ).
fof(dt_k2_cayley, axiom,  (! [A] :  (v15_algstr_0(k2_cayley(A)) &  (v1_monoid_0(k2_cayley(A)) & l3_algstr_0(k2_cayley(A))) ) ) ).
fof(dt_k3_cayley, axiom,  (! [A, B, C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v1_funct_1(k3_cayley(A, B, C)) &  (v1_funct_2(k3_cayley(A, B, C), u1_struct_0(k2_cayley(A)), u1_struct_0(k2_cayley(B))) & m1_subset_1(k3_cayley(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_cayley(A)), u1_struct_0(k2_cayley(B)))))) ) ) ) ).
fof(dt_k4_cayley, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (v1_funct_1(k4_cayley(A)) &  (v1_funct_2(k4_cayley(A), u1_struct_0(A), u1_struct_0(k2_cayley(u1_struct_0(A)))) & m1_subset_1(k4_cayley(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k2_cayley(u1_struct_0(A))))))) ) ) ) ).
fof(d1_cayley, axiom,  (! [A] : k1_cayley(A)=a_1_0_cayley(A)) ).
fof(fraenkel_a_1_0_cayley, axiom,  (! [A, B] :  (r2_hidden(A, a_1_0_cayley(B)) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, B) &  (v3_funct_2(C, B, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  & A=C) ) ) ) ).
fof(rc1_cc0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v2_cfuncdom(A) & l1_cfuncdom(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_cc0sp1(B, A) &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v6_vectsp_1(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v1_cfuncdom(B) & v2_cfuncdom(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v5_clvect_1(k8_cfuncdom(A)) & v1_cfuncdom(k8_cfuncdom(A))) ) ) ).
fof(fc2_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v1_xboole_0(k2_cc0sp1(A)))  &  (v3_c0sp1(k2_cc0sp1(A), k8_cfuncdom(A)) & v1_cc0sp1(k2_cc0sp1(A), k8_cfuncdom(A))) ) ) ) ).
fof(rc2_cc0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v2_cfuncdom(A) & l1_cfuncdom(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  (v3_c0sp1(B, A) & v1_cc0sp1(B, A)) ) ) ) ) ) ).
fof(fc3_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k3_cc0sp1(A)))  &  (v13_algstr_0(k3_cc0sp1(A)) &  (v2_rlvect_1(k3_cc0sp1(A)) &  (v3_rlvect_1(k3_cc0sp1(A)) &  (v4_rlvect_1(k3_cc0sp1(A)) &  (v1_vectsp_1(k3_cc0sp1(A)) &  (v3_vectsp_1(k3_cc0sp1(A)) &  (v3_group_1(k3_cc0sp1(A)) &  (v5_group_1(k3_cc0sp1(A)) &  (v2_clvect_1(k3_cc0sp1(A)) &  (v3_clvect_1(k3_cc0sp1(A)) &  (v4_clvect_1(k3_cc0sp1(A)) &  (v5_clvect_1(k3_cc0sp1(A)) & v2_cfuncdom(k3_cc0sp1(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc4_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v2_struct_0(k7_cc0sp1(A))) ) ) ).
fof(fc5_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => v1_group_1(k7_cc0sp1(A))) ) ).
fof(fc6_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v13_algstr_0(k7_cc0sp1(A)) &  (v2_rlvect_1(k7_cc0sp1(A)) &  (v3_rlvect_1(k7_cc0sp1(A)) &  (v4_rlvect_1(k7_cc0sp1(A)) &  (v3_normsp_0(k7_cc0sp1(A)) &  (v4_normsp_0(k7_cc0sp1(A)) &  (v2_clvect_1(k7_cc0sp1(A)) &  (v3_clvect_1(k7_cc0sp1(A)) &  (v4_clvect_1(k7_cc0sp1(A)) &  (v5_clvect_1(k7_cc0sp1(A)) & v8_clvect_1(k7_cc0sp1(A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc7_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => v3_clopban1(k7_cc0sp1(A))) ) ).
fof(d1_cc0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v2_cfuncdom(A) & l1_cfuncdom(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_vectsp_1(B) &  (v3_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v2_cfuncdom(B) & l1_cfuncdom(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (m1_cc0sp1(B, A) <=>  (r1_tarski(u1_struct_0(B), u1_struct_0(A)) &  (u1_algstr_0(B)=k1_realset1(u1_algstr_0(A), u1_struct_0(B)) &  (u2_algstr_0(B)=k1_realset1(u2_algstr_0(A), u1_struct_0(B)) &  (u1_clvect_1(B)=k2_partfun1(k2_zfmisc_1(k2_numbers, u1_struct_0(A)), u1_struct_0(A), u1_clvect_1(A), k2_zfmisc_1(k2_numbers, u1_struct_0(B))) &  (k5_struct_0(B)=k5_struct_0(A) & k4_struct_0(B)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ).
fof(t1_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_vectsp_1(B) &  (v3_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v2_cfuncdom(B) & l1_cfuncdom(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(A, A), A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(A, A), A) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k2_zfmisc_1(k2_numbers, A), A) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, A), A)))) )  =>  ( (C=A &  (D=k4_struct_0(B) &  (E=k5_struct_0(B) &  (F=k1_realset1(u1_algstr_0(B), C) &  (G=k1_realset1(u2_algstr_0(B), C) &  (H=k2_partfun1(k2_zfmisc_1(k2_numbers, u1_struct_0(B)), u1_struct_0(B), u1_clvect_1(B), k2_zfmisc_1(k2_numbers, C)) & v1_c0sp1(C, B)) ) ) ) ) )  => m1_cc0sp1(g1_cfuncdom(A, G, F, H, E, D), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_cc0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v2_cfuncdom(A) & l1_cfuncdom(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_cc0sp1(B, A) <=>  (v1_ideal_1(B, A) &  (v1_c0sp1(B, A) &  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, B) => r2_tarski(k1_clvect_1(A, D, C), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_cc0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v2_cfuncdom(A) & l1_cfuncdom(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_cc0sp1(B, A) =>  (v1_xboole_0(B) | k1_cc0sp1(A, B)=k2_partfun1(k2_zfmisc_1(k2_numbers, u1_struct_0(A)), u1_struct_0(A), u1_clvect_1(A), k2_zfmisc_1(k2_numbers, B))) ) ) ) ) ) ).
fof(d5_cc0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (v2_cc0sp1(A) <=>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (k1_clvect_1(A, C, B)=k4_struct_0(A) &  ( ~ (B=k5_numbers)  &  ~ (C=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_cc0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v2_cfuncdom(A) & l1_cfuncdom(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v3_c0sp1(B, A) &  (v1_cc0sp1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  => m1_cc0sp1(g1_cfuncdom(B, k2_c0sp1(A, B), k1_c0sp1(A, B), k1_cc0sp1(A, B), k4_c0sp1(A, B), k3_c0sp1(A, B)), A)) ) ) ) ).
fof(t3_cc0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v2_cfuncdom(A) & l1_cfuncdom(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_cc0sp1(B, A) =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (C=E & D=F)  => k3_rlvect_1(B, C, D)=k3_rlvect_1(A, E, F)) ) ) ) ) ) ) ) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (C=E & D=F)  => k8_group_1(B, C, D)=k8_group_1(A, E, F)) ) ) ) ) ) ) ) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xcmplx_0(E) =>  (C=D => k1_clvect_1(B, C, E)=k1_clvect_1(A, D, E)) ) ) ) ) ) )  &  (k1_group_1(B)=k1_group_1(A) & k4_struct_0(B)=k4_struct_0(A)) ) ) ) ) ) ) ) ).
fof(d6_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k3_cc0sp1(A)=g1_cfuncdom(k2_cc0sp1(A), k2_c0sp1(k8_cfuncdom(A), k2_cc0sp1(A)), k1_c0sp1(k8_cfuncdom(A), k2_cc0sp1(A)), k1_cc0sp1(k8_cfuncdom(A), k2_cc0sp1(A)), k4_c0sp1(k8_cfuncdom(A), k2_cc0sp1(A)), k3_c0sp1(k8_cfuncdom(A), k2_cc0sp1(A)))) ) ).
fof(t4_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => m1_cc0sp1(k3_cc0sp1(A), k8_cfuncdom(A))) ) ).
fof(t5_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_cc0sp1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_cc0sp1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k3_cc0sp1(A))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k2_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, k2_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, k2_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  ( (E=B &  (F=C & G=D) )  =>  (D=k3_rlvect_1(k3_cc0sp1(A), B, C) <=>  (! [H] :  (m1_subset_1(H, A) => k3_funct_2(A, k2_numbers, G, H)=k2_xcmplx_0(k3_funct_2(A, k2_numbers, E, H), k3_funct_2(A, k2_numbers, F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_cc0sp1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k3_cc0sp1(A))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k2_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, k2_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  ( (E=C & F=D)  =>  (D=k1_clvect_1(k3_cc0sp1(A), C, B) <=>  (! [G] :  (m1_subset_1(G, A) => k3_funct_2(A, k2_numbers, F, G)=k3_xcmplx_0(B, k3_funct_2(A, k2_numbers, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_cc0sp1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_cc0sp1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k3_cc0sp1(A))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k2_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, k2_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, k2_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  ( (E=B &  (F=C & G=D) )  =>  (D=k8_group_1(k3_cc0sp1(A), B, C) <=>  (! [H] :  (m1_subset_1(H, A) => k3_funct_2(A, k2_numbers, G, H)=k3_xcmplx_0(k3_funct_2(A, k2_numbers, E, H), k3_funct_2(A, k2_numbers, F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k4_struct_0(k3_cc0sp1(A))=k8_funcop_1(k4_ordinal1, A, k5_numbers)) ) ).
fof(t9_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k1_group_1(k3_cc0sp1(A))=k8_funcop_1(k2_numbers, A, k6_complex1)) ) ).
fof(d7_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (r2_hidden(B, k2_cc0sp1(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (C=k4_cc0sp1(A, B) <=>  (C=B & v1_comseq_2(k2_partfun1(A, k2_numbers, C, A))) ) ) ) ) ) ) ) ).
fof(t10_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (v1_comseq_2(k2_partfun1(A, k2_numbers, B, A)) => v4_xxreal_2(k5_cc0sp1(A, B))) ) ) ) ) ).
fof(t11_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (v1_comseq_2(k2_partfun1(A, k2_numbers, B, A)) <=> v4_xxreal_2(k5_cc0sp1(A, B))) ) ) ) ) ).
fof(d9_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_cc0sp1(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_cc0sp1(A), k1_numbers)))) )  =>  (B=k6_cc0sp1(A) <=>  (! [C] :  (r2_hidden(C, k2_cc0sp1(A)) => k1_funct_1(B, C)=k2_seq_4(k5_cc0sp1(A, k4_cc0sp1(A, C)))) ) ) ) ) ) ) ).
fof(t12_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (v1_comseq_2(k2_partfun1(A, k2_numbers, B, A)) => r2_funct_2(A, k2_numbers, k4_cc0sp1(A, B), B)) ) ) ) ) ).
fof(t13_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (v1_comseq_2(k2_partfun1(A, k2_numbers, B, A)) => k1_funct_1(k6_cc0sp1(A), B)=k2_seq_4(k5_cc0sp1(A, B))) ) ) ) ) ).
fof(d10_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k7_cc0sp1(A)=g1_clopban2(k2_cc0sp1(A), k2_c0sp1(k8_cfuncdom(A), k2_cc0sp1(A)), k1_c0sp1(k8_cfuncdom(A), k2_cc0sp1(A)), k1_cc0sp1(k8_cfuncdom(A), k2_cc0sp1(A)), k4_c0sp1(k8_cfuncdom(A), k2_cc0sp1(A)), k3_c0sp1(k8_cfuncdom(A), k2_cc0sp1(A)), k6_cc0sp1(A))) ) ).
fof(t14_cc0sp1, axiom,  (! [A] :  (l1_clopban2(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_vectsp_1(B) &  (v3_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v2_cfuncdom(B) & l1_cfuncdom(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (g1_cfuncdom(u1_struct_0(A), u2_algstr_0(A), u1_algstr_0(A), u1_clvect_1(A), u3_struct_0(A), u2_struct_0(A))=B =>  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v2_cfuncdom(A) & l1_cfuncdom(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k7_cc0sp1(A)))  &  (v13_algstr_0(k7_cc0sp1(A)) &  (v2_rlvect_1(k7_cc0sp1(A)) &  (v3_rlvect_1(k7_cc0sp1(A)) &  (v4_rlvect_1(k7_cc0sp1(A)) &  (v1_vectsp_1(k7_cc0sp1(A)) &  (v3_vectsp_1(k7_cc0sp1(A)) &  (v3_group_1(k7_cc0sp1(A)) &  (v5_group_1(k7_cc0sp1(A)) &  (v2_clvect_1(k7_cc0sp1(A)) &  (v3_clvect_1(k7_cc0sp1(A)) &  (v4_clvect_1(k7_cc0sp1(A)) &  (v2_cfuncdom(k7_cc0sp1(A)) & l1_cfuncdom(k7_cc0sp1(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k7_cc0sp1(A))) => k1_binop_1(k1_cc0sp1(k8_cfuncdom(A), k2_cc0sp1(A)), k6_complex1, B)=B) ) ) ) ).
fof(t17_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k7_cc0sp1(A)))  &  (v13_algstr_0(k7_cc0sp1(A)) &  (v2_rlvect_1(k7_cc0sp1(A)) &  (v3_rlvect_1(k7_cc0sp1(A)) &  (v4_rlvect_1(k7_cc0sp1(A)) &  (v2_clvect_1(k7_cc0sp1(A)) &  (v3_clvect_1(k7_cc0sp1(A)) &  (v4_clvect_1(k7_cc0sp1(A)) &  (v5_clvect_1(k7_cc0sp1(A)) & l1_clvect_1(k7_cc0sp1(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k8_funcop_1(k4_ordinal1, A, k5_numbers)=k4_struct_0(k7_cc0sp1(A))) ) ).
fof(t19_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_cc0sp1(A))) =>  ( (C=D & v1_comseq_2(k2_partfun1(A, k2_numbers, C, A)))  => r1_xxreal_0(k9_complex1(k3_funct_2(A, k2_numbers, C, B)), k2_normsp_0(k7_cc0sp1(A), D))) ) ) ) ) ) ) ) ) ).
fof(t20_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k7_cc0sp1(A))) => r1_xxreal_0(k5_numbers, k2_normsp_0(k7_cc0sp1(A), B))) ) ) ) ).
fof(t21_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k7_cc0sp1(A))) =>  (B=k4_struct_0(k7_cc0sp1(A)) => k5_numbers=k2_normsp_0(k7_cc0sp1(A), B)) ) ) ) ) ).
fof(t22_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k2_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k7_cc0sp1(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k7_cc0sp1(A))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k7_cc0sp1(A))) =>  ( (B=E &  (C=F & D=G) )  =>  (G=k1_algstr_0(k7_cc0sp1(A), E, F) <=>  (! [H] :  (m1_subset_1(H, A) => k3_funct_2(A, k2_numbers, D, H)=k2_xcmplx_0(k3_funct_2(A, k2_numbers, B, H), k3_funct_2(A, k2_numbers, C, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k2_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k7_cc0sp1(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k7_cc0sp1(A))) =>  ( (C=E & D=F)  =>  (F=k1_clvect_1(k7_cc0sp1(A), E, B) <=>  (! [G] :  (m1_subset_1(G, A) => k3_funct_2(A, k2_numbers, D, G)=k3_xcmplx_0(B, k3_funct_2(A, k2_numbers, C, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k2_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k7_cc0sp1(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k7_cc0sp1(A))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k7_cc0sp1(A))) =>  ( (B=E &  (C=F & D=G) )  =>  (G=k6_algstr_0(k7_cc0sp1(A), E, F) <=>  (! [H] :  (m1_subset_1(H, A) => k3_funct_2(A, k2_numbers, D, H)=k3_xcmplx_0(k3_funct_2(A, k2_numbers, B, H), k3_funct_2(A, k2_numbers, C, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_cc0sp1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_cc0sp1(A))) =>  ( (k2_normsp_0(k7_cc0sp1(A), C)=k5_numbers => C=k4_struct_0(k7_cc0sp1(A)))  &  ( (C=k4_struct_0(k7_cc0sp1(A)) => k2_normsp_0(k7_cc0sp1(A), C)=k5_numbers)  &  (k2_normsp_0(k7_cc0sp1(A), k1_clvect_1(k7_cc0sp1(A), C, B))=k3_xcmplx_0(k9_complex1(B), k2_normsp_0(k7_cc0sp1(A), C)) & r1_xxreal_0(k2_normsp_0(k7_cc0sp1(A), k1_algstr_0(k7_cc0sp1(A), C, D)), k2_xcmplx_0(k2_normsp_0(k7_cc0sp1(A), C), k2_normsp_0(k7_cc0sp1(A), D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k2_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k7_cc0sp1(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k7_cc0sp1(A))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k7_cc0sp1(A))) =>  ( (B=E &  (C=F & D=G) )  =>  (G=k5_algstr_0(k7_cc0sp1(A), E, F) <=>  (! [H] :  (m1_subset_1(H, A) => k3_funct_2(A, k2_numbers, D, H)=k6_xcmplx_0(k3_funct_2(A, k2_numbers, B, H), k3_funct_2(A, k2_numbers, C, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k7_cc0sp1(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k7_cc0sp1(A)))))) )  =>  (v1_csspace3(B, k7_cc0sp1(A)) => v9_clvect_1(B, k7_cc0sp1(A))) ) ) ) ) ).
fof(t28_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k7_cc0sp1(A)))  &  (v13_algstr_0(k7_cc0sp1(A)) &  (v2_rlvect_1(k7_cc0sp1(A)) &  (v3_rlvect_1(k7_cc0sp1(A)) &  (v4_rlvect_1(k7_cc0sp1(A)) &  (v1_vectsp_1(k7_cc0sp1(A)) &  (v3_vectsp_1(k7_cc0sp1(A)) &  (v3_group_1(k7_cc0sp1(A)) &  (v3_normsp_0(k7_cc0sp1(A)) &  (v4_normsp_0(k7_cc0sp1(A)) &  (v2_clvect_1(k7_cc0sp1(A)) &  (v3_clvect_1(k7_cc0sp1(A)) &  (v4_clvect_1(k7_cc0sp1(A)) &  (v5_clvect_1(k7_cc0sp1(A)) &  (v8_clvect_1(k7_cc0sp1(A)) &  (v2_cfuncdom(k7_cc0sp1(A)) &  (v5_clopban2(k7_cc0sp1(A)) & l1_clopban2(k7_cc0sp1(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_m1_cc0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v2_cfuncdom(A) & l1_cfuncdom(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_cc0sp1(B, A) =>  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_vectsp_1(B) &  (v3_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v2_cfuncdom(B) & l1_cfuncdom(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(existence_m1_cc0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v2_cfuncdom(A) & l1_cfuncdom(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (? [B] : m1_cc0sp1(B, A)) ) ) ).
fof(dt_k1_cc0sp1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v2_cfuncdom(A) & l1_cfuncdom(A)) ) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_funct_1(k1_cc0sp1(A, B)) &  (v1_funct_2(k1_cc0sp1(A, B), k2_zfmisc_1(k2_numbers, B), B) & m1_subset_1(k1_cc0sp1(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, B), B)))) ) ) ) ).
fof(dt_k2_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v1_xboole_0(k2_cc0sp1(A)))  & m1_subset_1(k2_cc0sp1(A), k1_zfmisc_1(u1_struct_0(k8_cfuncdom(A))))) ) ) ).
fof(dt_k3_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k3_cc0sp1(A)))  &  (v13_algstr_0(k3_cc0sp1(A)) &  (v2_rlvect_1(k3_cc0sp1(A)) &  (v3_rlvect_1(k3_cc0sp1(A)) &  (v4_rlvect_1(k3_cc0sp1(A)) &  (v1_vectsp_1(k3_cc0sp1(A)) &  (v3_vectsp_1(k3_cc0sp1(A)) &  (v3_group_1(k3_cc0sp1(A)) &  (v5_group_1(k3_cc0sp1(A)) &  (v2_clvect_1(k3_cc0sp1(A)) &  (v3_clvect_1(k3_cc0sp1(A)) &  (v4_clvect_1(k3_cc0sp1(A)) &  (v2_cfuncdom(k3_cc0sp1(A)) & l1_cfuncdom(k3_cc0sp1(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k4_cc0sp1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k4_cc0sp1(A, B)) &  (v1_funct_2(k4_cc0sp1(A, B), A, k2_numbers) & m1_subset_1(k4_cc0sp1(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) ) ) ) ).
fof(dt_k5_cc0sp1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) ) )  =>  ( ~ (v1_xboole_0(k5_cc0sp1(A, B)))  & m1_subset_1(k5_cc0sp1(A, B), k1_zfmisc_1(k1_numbers))) ) ) ).
fof(dt_k6_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k6_cc0sp1(A)) &  (v1_funct_2(k6_cc0sp1(A), k2_cc0sp1(A), k1_numbers) & m1_subset_1(k6_cc0sp1(A), k1_zfmisc_1(k2_zfmisc_1(k2_cc0sp1(A), k1_numbers)))) ) ) ) ).
fof(dt_k7_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => l1_clopban2(k7_cc0sp1(A))) ) ).
fof(d4_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k2_cc0sp1(A)=a_1_0_cc0sp1(A)) ) ).
fof(d8_cc0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  => k5_cc0sp1(A, B)=a_2_0_cc0sp1(A, B)) ) ) ) ).
fof(fraenkel_a_1_0_cc0sp1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (r2_hidden(A, a_1_0_cc0sp1(B)) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k2_numbers)))) )  &  (A=C & v1_comseq_2(k2_partfun1(B, k2_numbers, C, B))) ) ) ) ) ) ).
fof(fraenkel_a_2_0_cc0sp1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k2_numbers)))) ) )  =>  (r2_hidden(A, a_2_0_cc0sp1(B, C)) <=>  (? [D] :  (m1_subset_1(D, B) & A=k9_complex1(k3_funct_2(B, k2_numbers, C, D))) ) ) ) ) ).
fof(fc1_cc0sp2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  & v1_xcmplx_0(B))  =>  (v1_funct_1(k1_cc0sp2(A, B)) &  (v1_funct_2(k1_cc0sp2(A, B), u1_struct_0(A), k2_numbers) & v1_cc0sp2(k1_cc0sp2(A, B), A)) ) ) ) ).
fof(rc1_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers))) &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v5_relat_1(B, k2_numbers) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v1_funct_2(B, u1_struct_0(A), k2_numbers) &  (v1_valued_0(B) & v1_cc0sp2(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc2_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ~ (v1_xboole_0(k2_cc0sp2(A))) ) ) ).
fof(fc3_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v3_c0sp1(k2_cc0sp2(A), k8_cfuncdom(u1_struct_0(A))) & v1_cc0sp1(k2_cc0sp2(A), k8_cfuncdom(u1_struct_0(A)))) ) ) ).
fof(fc4_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( ~ (v2_struct_0(k3_cc0sp2(A)))  &  (v13_algstr_0(k3_cc0sp2(A)) &  (v2_rlvect_1(k3_cc0sp2(A)) &  (v3_rlvect_1(k3_cc0sp2(A)) &  (v4_rlvect_1(k3_cc0sp2(A)) &  (v1_vectsp_1(k3_cc0sp2(A)) &  (v3_vectsp_1(k3_cc0sp2(A)) &  (v3_group_1(k3_cc0sp2(A)) &  (v5_group_1(k3_cc0sp2(A)) &  (v2_clvect_1(k3_cc0sp2(A)) &  (v3_clvect_1(k3_cc0sp2(A)) &  (v4_clvect_1(k3_cc0sp2(A)) &  (v1_cfuncdom(k3_cc0sp2(A)) & v2_cfuncdom(k3_cc0sp2(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc5_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( ~ (v2_struct_0(k3_cc0sp2(A)))  &  (v13_algstr_0(k3_cc0sp2(A)) &  (v2_rlvect_1(k3_cc0sp2(A)) &  (v3_rlvect_1(k3_cc0sp2(A)) &  (v4_rlvect_1(k3_cc0sp2(A)) &  (v1_vectsp_1(k3_cc0sp2(A)) &  (v3_vectsp_1(k3_cc0sp2(A)) &  (v3_group_1(k3_cc0sp2(A)) &  (v5_group_1(k3_cc0sp2(A)) &  (v2_clvect_1(k3_cc0sp2(A)) &  (v3_clvect_1(k3_cc0sp2(A)) &  (v4_clvect_1(k3_cc0sp2(A)) &  (v5_clvect_1(k3_cc0sp2(A)) & v2_cfuncdom(k3_cc0sp2(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc6_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  =>  ( ~ (v2_struct_0(k5_cc0sp2(A)))  & v1_clopban2(k5_cc0sp2(A))) ) ) ).
fof(fc7_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  => v1_group_1(k5_cc0sp2(A))) ) ).
fof(fc8_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  =>  (v13_algstr_0(k5_cc0sp2(A)) &  (v2_rlvect_1(k5_cc0sp2(A)) &  (v3_rlvect_1(k5_cc0sp2(A)) &  (v4_rlvect_1(k5_cc0sp2(A)) &  (v1_vectsp_1(k5_cc0sp2(A)) &  (v3_vectsp_1(k5_cc0sp2(A)) &  (v3_group_1(k5_cc0sp2(A)) &  (v5_group_1(k5_cc0sp2(A)) &  (v2_clvect_1(k5_cc0sp2(A)) &  (v3_clvect_1(k5_cc0sp2(A)) &  (v4_clvect_1(k5_cc0sp2(A)) & v2_cfuncdom(k5_cc0sp2(A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc9_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  =>  (v2_clvect_1(k5_cc0sp2(A)) &  (v3_clvect_1(k5_cc0sp2(A)) &  (v4_clvect_1(k5_cc0sp2(A)) & v5_clvect_1(k5_cc0sp2(A))) ) ) ) ) ).
fof(fc10_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  =>  (v3_normsp_0(k5_cc0sp2(A)) &  (v4_normsp_0(k5_cc0sp2(A)) & v8_clvect_1(k5_cc0sp2(A))) ) ) ) ).
fof(fc11_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  => v3_clopban1(k5_cc0sp2(A))) ) ).
fof(fc12_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  => v5_clopban2(k5_cc0sp2(A))) ) ).
fof(fc13_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( ~ (v1_xboole_0(k6_cc0sp2(A)))  & v6_clvect_1(k6_cc0sp2(A), k6_cfuncdom(u1_struct_0(A)))) ) ) ).
fof(fc14_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( ~ (v2_struct_0(k9_cc0sp2(A)))  & v7_clvect_1(k9_cc0sp2(A))) ) ) ).
fof(fc15_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v13_algstr_0(k9_cc0sp2(A)) &  (v2_rlvect_1(k9_cc0sp2(A)) &  (v3_rlvect_1(k9_cc0sp2(A)) &  (v4_rlvect_1(k9_cc0sp2(A)) &  (v3_normsp_0(k9_cc0sp2(A)) &  (v4_normsp_0(k9_cc0sp2(A)) &  (v2_clvect_1(k9_cc0sp2(A)) &  (v3_clvect_1(k9_cc0sp2(A)) &  (v4_clvect_1(k9_cc0sp2(A)) &  (v5_clvect_1(k9_cc0sp2(A)) & v8_clvect_1(k9_cc0sp2(A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_cc0sp2, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) )  =>  (v1_cc0sp2(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_numbers)) =>  (v5_cfdiff_1(C) => v4_pre_topc(k8_relset_1(u1_struct_0(A), k2_numbers, B, C), A)) ) ) ) ) ) ) ) ).
fof(d2_cc0sp2, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k1_cc0sp2(A, B)=k7_funcop_1(u1_struct_0(A), B)) ) ) ) ).
fof(t1_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) )  =>  (r2_funct_2(u1_struct_0(A), k2_numbers, C, k1_cc0sp2(A, B)) => v1_cc0sp2(C, A)) ) ) ) ) ) ) ).
fof(t2_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) )  =>  (v1_cc0sp2(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_numbers)) =>  (v6_cfdiff_1(C) => v3_pre_topc(k8_relset_1(u1_struct_0(A), k2_numbers, B, C), A)) ) ) ) ) ) ) ) ).
fof(t3_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) )  =>  (v1_cc0sp2(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_numbers)) =>  ~ ( (r2_tarski(k3_funct_2(u1_struct_0(A), k2_numbers, B, C), D) &  (v6_cfdiff_1(D) &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_tarski(C, E) &  (v3_pre_topc(E, A) & r1_tarski(k7_relset_1(u1_struct_0(A), k2_numbers, B, E), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k2_numbers) &  (v1_cc0sp2(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k2_numbers) &  (v1_cc0sp2(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) ) )  =>  (v1_funct_1(k11_pre_poly(u1_struct_0(A), B, C)) &  (v1_funct_2(k11_pre_poly(u1_struct_0(A), B, C), u1_struct_0(A), k2_numbers) &  (v1_cc0sp2(k11_pre_poly(u1_struct_0(A), B, C), A) & m1_subset_1(k11_pre_poly(u1_struct_0(A), B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) ) ) ) ) ) ) ) ) ).
fof(t5_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k2_numbers) &  (v1_cc0sp2(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) ) )  =>  (v1_funct_1(k25_valued_1(u1_struct_0(A), k2_numbers, C, B)) &  (v1_funct_2(k25_valued_1(u1_struct_0(A), k2_numbers, C, B), u1_struct_0(A), k2_numbers) &  (v1_cc0sp2(k25_valued_1(u1_struct_0(A), k2_numbers, C, B), A) & m1_subset_1(k25_valued_1(u1_struct_0(A), k2_numbers, C, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) ) ) ) ) ) ) ) ) ).
fof(t6_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k2_numbers) &  (v1_cc0sp2(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k2_numbers) &  (v1_cc0sp2(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) ) )  =>  (v1_funct_1(k46_valued_1(u1_struct_0(A), k2_numbers, k2_numbers, B, C)) &  (v1_funct_2(k46_valued_1(u1_struct_0(A), k2_numbers, k2_numbers, B, C), u1_struct_0(A), k2_numbers) &  (v1_cc0sp2(k46_valued_1(u1_struct_0(A), k2_numbers, k2_numbers, B, C), A) & m1_subset_1(k46_valued_1(u1_struct_0(A), k2_numbers, k2_numbers, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) ) ) ) ) ) ) ) ) ).
fof(t7_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k2_numbers) &  (v1_cc0sp2(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k2_numbers) &  (v1_cc0sp2(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) ) )  =>  (v1_funct_1(k19_valued_1(u1_struct_0(A), k2_numbers, k2_numbers, B, C)) &  (v1_funct_2(k19_valued_1(u1_struct_0(A), k2_numbers, k2_numbers, B, C), u1_struct_0(A), k2_numbers) &  (v1_cc0sp2(k19_valued_1(u1_struct_0(A), k2_numbers, k2_numbers, B, C), A) & m1_subset_1(k19_valued_1(u1_struct_0(A), k2_numbers, k2_numbers, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) ) ) ) ) ) ) ) ) ).
fof(t8_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k2_numbers) &  (v1_cc0sp2(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) ) )  =>  ( (v1_funct_1(k55_valued_1(u1_struct_0(A), k2_numbers, B)) &  (v1_funct_2(k55_valued_1(u1_struct_0(A), k2_numbers, B), u1_struct_0(A), k1_numbers) & m1_subset_1(k55_valued_1(u1_struct_0(A), k2_numbers, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  & v1_pscomp_1(k55_valued_1(u1_struct_0(A), k2_numbers, B), A)) ) ) ) ) ).
fof(d4_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => k3_cc0sp2(A)=g1_cfuncdom(k2_cc0sp2(A), k2_c0sp1(k8_cfuncdom(u1_struct_0(A)), k2_cc0sp2(A)), k1_c0sp1(k8_cfuncdom(u1_struct_0(A)), k2_cc0sp2(A)), k1_cc0sp1(k8_cfuncdom(u1_struct_0(A)), k2_cc0sp2(A)), k4_c0sp1(k8_cfuncdom(u1_struct_0(A)), k2_cc0sp2(A)), k3_c0sp1(k8_cfuncdom(u1_struct_0(A)), k2_cc0sp2(A)))) ) ).
fof(t9_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => m1_cc0sp1(k3_cc0sp2(A), k8_cfuncdom(u1_struct_0(A)))) ) ).
fof(t10_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_cc0sp2(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_cc0sp2(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k3_cc0sp2(A))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), k2_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(A), k2_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(A), k2_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) )  =>  ( (E=B &  (F=C & G=D) )  =>  (D=k3_rlvect_1(k3_cc0sp2(A), B, C) <=>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k2_numbers, G, H)=k2_xcmplx_0(k3_funct_2(u1_struct_0(A), k2_numbers, E, H), k3_funct_2(u1_struct_0(A), k2_numbers, F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_cc0sp2(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_cc0sp2(A))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), k2_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), k2_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) )  =>  (! [F] :  (v1_xcmplx_0(F) =>  ( (D=B & E=C)  =>  (C=k1_clvect_1(k3_cc0sp2(A), B, F) <=>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k2_numbers, E, G)=k3_xcmplx_0(F, k3_funct_2(u1_struct_0(A), k2_numbers, D, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_cc0sp2(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_cc0sp2(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k3_cc0sp2(A))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), k2_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(A), k2_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(A), k2_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) )  =>  ( (E=B &  (F=C & G=D) )  =>  (D=k8_group_1(k3_cc0sp2(A), B, C) <=>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k2_numbers, G, H)=k3_xcmplx_0(k3_funct_2(u1_struct_0(A), k2_numbers, E, H), k3_funct_2(u1_struct_0(A), k2_numbers, F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => k4_struct_0(k3_cc0sp2(A))=k1_cc0sp2(A, k5_complex1)) ) ).
fof(t14_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => k1_group_1(k3_cc0sp2(A))=k1_cc0sp2(A, k6_complex1)) ) ).
fof(t15_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v2_cfuncdom(A) & l1_cfuncdom(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_cc0sp1(B, A) =>  (! [C] :  (m1_cc0sp1(C, A) =>  (r1_tarski(u1_struct_0(B), u1_struct_0(C)) => m1_cc0sp1(B, C)) ) ) ) ) ) ) ).
fof(t16_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  => m1_cc0sp1(k3_cc0sp2(A), k3_cc0sp1(u1_struct_0(A)))) ) ).
fof(d5_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  => k4_cc0sp2(A)=k2_partfun1(k2_cc0sp1(u1_struct_0(A)), k1_numbers, k6_cc0sp1(u1_struct_0(A)), k2_cc0sp2(A))) ) ).
fof(d6_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  => k5_cc0sp2(A)=g1_clopban2(k2_cc0sp2(A), k2_c0sp1(k8_cfuncdom(u1_struct_0(A)), k2_cc0sp2(A)), k1_c0sp1(k8_cfuncdom(u1_struct_0(A)), k2_cc0sp2(A)), k1_cc0sp1(k8_cfuncdom(u1_struct_0(A)), k2_cc0sp2(A)), k4_c0sp1(k8_cfuncdom(u1_struct_0(A)), k2_cc0sp2(A)), k3_c0sp1(k8_cfuncdom(u1_struct_0(A)), k2_cc0sp2(A)), k4_cc0sp2(A))) ) ).
fof(t17_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  =>  ( ~ (v2_struct_0(k5_cc0sp2(A)))  &  (v13_algstr_0(k5_cc0sp2(A)) &  (v2_rlvect_1(k5_cc0sp2(A)) &  (v3_rlvect_1(k5_cc0sp2(A)) &  (v4_rlvect_1(k5_cc0sp2(A)) &  (v1_vectsp_1(k5_cc0sp2(A)) &  (v3_vectsp_1(k5_cc0sp2(A)) &  (v3_group_1(k5_cc0sp2(A)) &  (v5_group_1(k5_cc0sp2(A)) &  (v2_clvect_1(k5_cc0sp2(A)) &  (v3_clvect_1(k5_cc0sp2(A)) &  (v4_clvect_1(k5_cc0sp2(A)) &  (v2_cfuncdom(k5_cc0sp2(A)) & l1_cfuncdom(k5_cc0sp2(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_cc0sp2(A))) => k1_binop_1(k1_cc0sp1(k8_cfuncdom(u1_struct_0(A)), k2_cc0sp2(A)), k6_complex1, B)=B) ) ) ) ).
fof(t19_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  =>  ( ~ (v2_struct_0(k5_cc0sp2(A)))  &  (v13_algstr_0(k5_cc0sp2(A)) &  (v2_rlvect_1(k5_cc0sp2(A)) &  (v3_rlvect_1(k5_cc0sp2(A)) &  (v4_rlvect_1(k5_cc0sp2(A)) &  (v2_clvect_1(k5_cc0sp2(A)) &  (v3_clvect_1(k5_cc0sp2(A)) &  (v4_clvect_1(k5_cc0sp2(A)) &  (v5_clvect_1(k5_cc0sp2(A)) & l1_clvect_1(k5_cc0sp2(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  => k1_cc0sp2(A, k5_numbers)=k4_struct_0(k5_cc0sp2(A))) ) ).
fof(t21_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_cc0sp2(A))) => r1_xxreal_0(k5_numbers, k2_normsp_0(k5_cc0sp2(A), B))) ) ) ) ).
fof(t22_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), k2_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_cc0sp2(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k5_cc0sp2(A))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_cc0sp2(A))) =>  ( (B=E &  (C=F & D=G) )  =>  (G=k3_rlvect_1(k5_cc0sp2(A), E, F) <=>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k2_numbers, D, H)=k2_xcmplx_0(k3_funct_2(u1_struct_0(A), k2_numbers, B, H), k3_funct_2(u1_struct_0(A), k2_numbers, C, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_cc0sp2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v1_compts_1(B) & l1_pre_topc(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k2_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), k2_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k2_numbers)))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_cc0sp2(B))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k5_cc0sp2(B))) =>  ( (C=E & D=F)  =>  (F=k1_clvect_1(k5_cc0sp2(B), E, A) <=>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) => k3_funct_2(u1_struct_0(B), k2_numbers, D, G)=k3_xcmplx_0(A, k3_funct_2(u1_struct_0(B), k2_numbers, C, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), k2_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_cc0sp2(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k5_cc0sp2(A))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_cc0sp2(A))) =>  ( (B=E &  (C=F & D=G) )  =>  (G=k8_group_1(k5_cc0sp2(A), E, F) <=>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k2_numbers, D, H)=k3_xcmplx_0(k3_funct_2(u1_struct_0(A), k2_numbers, B, H), k3_funct_2(u1_struct_0(A), k2_numbers, C, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  => k2_normsp_0(k5_cc0sp2(A), k4_struct_0(k5_cc0sp2(A)))=k5_numbers) ) ).
fof(t26_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_cc0sp2(A))) =>  (k2_normsp_0(k5_cc0sp2(A), B)=k5_numbers => B=k4_struct_0(k5_cc0sp2(A))) ) ) ) ) ).
fof(t27_cc0sp2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v1_compts_1(B) & l1_pre_topc(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_cc0sp2(B))) => k2_normsp_0(k5_cc0sp2(B), k1_clvect_1(k5_cc0sp2(B), C, A))=k3_xcmplx_0(k9_complex1(A), k2_normsp_0(k5_cc0sp2(B), C))) ) ) ) ) ) ).
fof(t28_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_cc0sp2(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_cc0sp2(A))) => r1_xxreal_0(k2_normsp_0(k5_cc0sp2(A), k3_rlvect_1(k5_cc0sp2(A), B, C)), k2_xcmplx_0(k2_normsp_0(k5_cc0sp2(A), B), k2_normsp_0(k5_cc0sp2(A), C)))) ) ) ) ) ) ).
fof(t29_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), k2_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_cc0sp2(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k5_cc0sp2(A))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_cc0sp2(A))) =>  ( (B=E &  (C=F & D=G) )  =>  (G=k5_algstr_0(k5_cc0sp2(A), E, F) <=>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k2_numbers, D, H)=k6_xcmplx_0(k3_funct_2(u1_struct_0(A), k2_numbers, B, H), k3_funct_2(u1_struct_0(A), k2_numbers, C, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v3_clopban1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v2_ncfcont1(B, A) &  (r1_tarski(k2_relset_1(u1_struct_0(A), C), B) & v1_csspace3(C, A)) )  =>  (v9_clvect_1(C, A) & r2_tarski(k7_clvect_1(A, C), B)) ) ) ) ) ) ) ) ).
fof(t31_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k7_cc0sp1(u1_struct_0(A))))) =>  (B=k2_cc0sp2(A) => v2_ncfcont1(B, k7_cc0sp1(u1_struct_0(A)))) ) ) ) ) ).
fof(t32_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k5_cc0sp2(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k5_cc0sp2(A)))))) )  =>  (v1_csspace3(B, k5_cc0sp2(A)) => v9_clvect_1(B, k5_cc0sp2(A))) ) ) ) ) ).
fof(t33_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) )  => r1_tarski(k13_pre_poly(k11_pre_poly(u1_struct_0(A), B, C)), k2_xboole_0(k13_pre_poly(B), k13_pre_poly(C)))) ) ) ) ) ) ).
fof(t34_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) )  => r1_tarski(k13_pre_poly(k25_valued_1(u1_struct_0(A), k2_numbers, C, B)), k13_pre_poly(C))) ) ) ) ) ) ).
fof(t35_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) )  => r1_tarski(k13_pre_poly(k19_valued_1(u1_struct_0(A), k2_numbers, k2_numbers, B, C)), k2_xboole_0(k13_pre_poly(B), k13_pre_poly(C)))) ) ) ) ) ) ).
fof(t36_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( ~ (v1_xboole_0(k6_cc0sp2(A)))  & m1_subset_1(k6_cc0sp2(A), k1_zfmisc_1(u1_struct_0(k8_cfuncdom(u1_struct_0(A)))))) ) ) ).
fof(t37_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k8_cfuncdom(u1_struct_0(A))))))  =>  (B=k6_cc0sp2(A) => v1_cc0sp1(B, k8_cfuncdom(u1_struct_0(A)))) ) ) ) ) ).
fof(t38_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => v1_ideal_1(k6_cc0sp2(A), k6_cfuncdom(u1_struct_0(A)))) ) ).
fof(t39_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => v6_clvect_1(k6_cc0sp2(A), k6_cfuncdom(u1_struct_0(A)))) ) ).
fof(t40_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v6_clvect_1(B, A) =>  (v1_xboole_0(B) | m1_clvect_1(g1_clvect_1(B, k8_csspace(A, B), k1_c0sp1(A, B), k7_csspace(A, B)), A)) ) ) ) ) ) ).
fof(t41_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => m1_clvect_1(g1_clvect_1(k6_cc0sp2(A), k8_csspace(k6_cfuncdom(u1_struct_0(A)), k6_cc0sp2(A)), k1_c0sp1(k6_cfuncdom(u1_struct_0(A)), k6_cc0sp2(A)), k7_csspace(k6_cfuncdom(u1_struct_0(A)), k6_cc0sp2(A))), k6_cfuncdom(u1_struct_0(A)))) ) ).
fof(d8_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => k7_cc0sp2(A)=g1_clvect_1(k6_cc0sp2(A), k8_csspace(k6_cfuncdom(u1_struct_0(A)), k6_cc0sp2(A)), k1_c0sp1(k6_cfuncdom(u1_struct_0(A)), k6_cc0sp2(A)), k7_csspace(k6_cfuncdom(u1_struct_0(A)), k6_cc0sp2(A)))) ) ).
fof(t42_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (r2_tarski(B, k6_cc0sp2(A)) => r2_tarski(B, k2_cc0sp1(u1_struct_0(A)))) ) ) ) ).
fof(d9_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => k8_cc0sp2(A)=k2_partfun1(k2_cc0sp1(u1_struct_0(A)), k1_numbers, k6_cc0sp1(u1_struct_0(A)), k6_cc0sp2(A))) ) ).
fof(d10_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => k9_cc0sp2(A)=g2_clvect_1(k6_cc0sp2(A), k8_csspace(k6_cfuncdom(u1_struct_0(A)), k6_cc0sp2(A)), k1_c0sp1(k6_cfuncdom(u1_struct_0(A)), k6_cc0sp2(A)), k7_csspace(k6_cfuncdom(u1_struct_0(A)), k6_cc0sp2(A)), k8_cc0sp2(A))) ) ).
fof(t43_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (r2_tarski(B, k6_cc0sp2(A)) => r2_tarski(B, k2_cc0sp2(A))) ) ) ) ).
fof(t44_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => k4_struct_0(k7_cc0sp2(A))=k1_cc0sp2(A, k5_numbers)) ) ).
fof(t45_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => k4_struct_0(k9_cc0sp2(A))=k1_cc0sp2(A, k5_numbers)) ) ).
fof(t46_cc0sp2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_cc0sp2(B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_cc0sp2(B))) =>  ( (k2_normsp_0(k9_cc0sp2(B), C)=k5_numbers => C=k4_struct_0(k9_cc0sp2(B)))  &  ( (C=k4_struct_0(k9_cc0sp2(B)) => k2_normsp_0(k9_cc0sp2(B), C)=k5_numbers)  &  (k2_normsp_0(k9_cc0sp2(B), k1_clvect_1(k9_cc0sp2(B), C, A))=k3_xcmplx_0(k9_complex1(A), k2_normsp_0(k9_cc0sp2(B), C)) & r1_xxreal_0(k2_normsp_0(k9_cc0sp2(B), k1_algstr_0(k9_cc0sp2(B), C, D)), k2_xcmplx_0(k2_normsp_0(k9_cc0sp2(B), C), k2_normsp_0(k9_cc0sp2(B), D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( ~ (v2_struct_0(k9_cc0sp2(A)))  &  (v13_algstr_0(k9_cc0sp2(A)) &  (v2_rlvect_1(k9_cc0sp2(A)) &  (v3_rlvect_1(k9_cc0sp2(A)) &  (v4_rlvect_1(k9_cc0sp2(A)) &  (v3_normsp_0(k9_cc0sp2(A)) &  (v4_normsp_0(k9_cc0sp2(A)) &  (v2_clvect_1(k9_cc0sp2(A)) &  (v3_clvect_1(k9_cc0sp2(A)) &  (v4_clvect_1(k9_cc0sp2(A)) &  (v5_clvect_1(k9_cc0sp2(A)) &  (v8_clvect_1(k9_cc0sp2(A)) & l2_clvect_1(k9_cc0sp2(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_cc0sp2, axiom,  (! [A, B] :  ( (l1_struct_0(A) & v1_xcmplx_0(B))  =>  (v1_funct_1(k1_cc0sp2(A, B)) &  (v1_funct_2(k1_cc0sp2(A, B), u1_struct_0(A), k2_numbers) & m1_subset_1(k1_cc0sp2(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) ) ) ) ).
fof(dt_k2_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => m1_subset_1(k2_cc0sp2(A), k1_zfmisc_1(u1_struct_0(k8_cfuncdom(u1_struct_0(A)))))) ) ).
fof(dt_k3_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( ~ (v2_struct_0(k3_cc0sp2(A)))  &  (v13_algstr_0(k3_cc0sp2(A)) &  (v2_rlvect_1(k3_cc0sp2(A)) &  (v3_rlvect_1(k3_cc0sp2(A)) &  (v4_rlvect_1(k3_cc0sp2(A)) &  (v1_vectsp_1(k3_cc0sp2(A)) &  (v3_vectsp_1(k3_cc0sp2(A)) &  (v3_group_1(k3_cc0sp2(A)) &  (v5_group_1(k3_cc0sp2(A)) &  (v2_clvect_1(k3_cc0sp2(A)) &  (v3_clvect_1(k3_cc0sp2(A)) &  (v4_clvect_1(k3_cc0sp2(A)) &  (v2_cfuncdom(k3_cc0sp2(A)) & l1_cfuncdom(k3_cc0sp2(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k4_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  =>  (v1_funct_1(k4_cc0sp2(A)) &  (v1_funct_2(k4_cc0sp2(A), k2_cc0sp2(A), k1_numbers) & m1_subset_1(k4_cc0sp2(A), k1_zfmisc_1(k2_zfmisc_1(k2_cc0sp2(A), k1_numbers)))) ) ) ) ).
fof(dt_k5_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  => l1_clopban2(k5_cc0sp2(A))) ) ).
fof(dt_k6_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( ~ (v1_xboole_0(k6_cc0sp2(A)))  & m1_subset_1(k6_cc0sp2(A), k1_zfmisc_1(u1_struct_0(k6_cfuncdom(u1_struct_0(A)))))) ) ) ).
fof(dt_k7_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( ~ (v2_struct_0(k7_cc0sp2(A)))  &  (v13_algstr_0(k7_cc0sp2(A)) &  (v2_rlvect_1(k7_cc0sp2(A)) &  (v3_rlvect_1(k7_cc0sp2(A)) &  (v4_rlvect_1(k7_cc0sp2(A)) &  (v2_clvect_1(k7_cc0sp2(A)) &  (v3_clvect_1(k7_cc0sp2(A)) &  (v4_clvect_1(k7_cc0sp2(A)) &  (v5_clvect_1(k7_cc0sp2(A)) & l1_clvect_1(k7_cc0sp2(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k8_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v1_funct_1(k8_cc0sp2(A)) &  (v1_funct_2(k8_cc0sp2(A), k6_cc0sp2(A), k1_numbers) & m1_subset_1(k8_cc0sp2(A), k1_zfmisc_1(k2_zfmisc_1(k6_cc0sp2(A), k1_numbers)))) ) ) ) ).
fof(dt_k9_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => l2_clvect_1(k9_cc0sp2(A))) ) ).
fof(d3_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => k2_cc0sp2(A)=a_1_0_cc0sp2(A)) ) ).
fof(d7_cc0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => k6_cc0sp2(A)=a_1_1_cc0sp2(A)) ) ).
fof(fraenkel_a_1_0_cc0sp2, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (r2_hidden(A, a_1_0_cc0sp2(B)) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), k2_numbers) &  (v1_cc0sp2(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k2_numbers)))) ) )  & A=C) ) ) ) ) ).
fof(fraenkel_a_1_1_cc0sp2, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (r2_hidden(A, a_1_1_cc0sp2(B)) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k2_numbers)))) )  &  (A=C &  (v1_cc0sp2(C, B) &  (? [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))))  &  (v2_compts_1(D, B) &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) =>  (E=k13_pre_poly(C) => m1_subset_1(k2_pre_topc(B, E), k1_zfmisc_1(D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_cfcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [B] :  (v1_xcmplx_0(B) =>  (r1_cfcont_1(A, B) <=>  (r2_hidden(B, k1_relset_1(k2_numbers, A)) &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (r1_tarski(k2_relset_1(k2_numbers, C), k1_relset_1(k2_numbers, A)) &  (v2_comseq_2(C) & k3_comseq_2(C)=B) )  =>  (v2_comseq_2(k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, C, A)) & k7_partfun1(k2_numbers, A, B)=k3_comseq_2(k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, C, A))) ) ) ) ) ) ) ) ) ) ).
fof(t1_cfcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (r2_relset_1(k4_ordinal1, k2_numbers, A, k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, B, C)) <=>  (! [D] :  (v7_ordinal1(D) => k8_nat_1(k2_numbers, A, D)=k6_xcmplx_0(k8_nat_1(k2_numbers, B, D), k8_nat_1(k2_numbers, C, D))) ) ) ) ) ) ) ) ) ).
fof(t2_cfcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_ordinal1) &  (v5_valued_0(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) )  =>  (r2_relset_1(k4_ordinal1, k2_numbers, k9_comseq_3(C, k2_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B)), k2_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k9_comseq_3(C, A), k9_comseq_3(C, B))) &  (r2_relset_1(k4_ordinal1, k2_numbers, k9_comseq_3(C, k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B)), k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k9_comseq_3(C, A), k9_comseq_3(C, B))) & r2_relset_1(k4_ordinal1, k2_numbers, k9_comseq_3(C, k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B)), k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k9_comseq_3(C, A), k9_comseq_3(C, B)))) ) ) ) ) ) ) ) ).
fof(t3_cfcont_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_ordinal1) &  (v5_valued_0(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) )  => r2_relset_1(k4_ordinal1, k2_numbers, k9_comseq_3(C, k25_valued_1(k4_ordinal1, k2_numbers, B, A)), k25_valued_1(k4_ordinal1, k2_numbers, k9_comseq_3(C, B), A))) ) ) ) ) ) ).
fof(t4_cfcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_ordinal1) &  (v5_valued_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) )  =>  (r2_relset_1(k4_ordinal1, k2_numbers, k9_comseq_3(B, k31_valued_1(k4_ordinal1, k2_numbers, A)), k31_valued_1(k4_ordinal1, k2_numbers, k9_comseq_3(B, A))) & r2_relset_1(k4_ordinal1, k1_numbers, k2_valued_0(k1_numbers, B, k55_valued_1(k4_ordinal1, k2_numbers, A)), k55_valued_1(k4_ordinal1, k2_numbers, k9_comseq_3(B, A)))) ) ) ) ) ).
fof(t5_cfcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_ordinal1) &  (v5_valued_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) )  => r2_relset_1(k4_ordinal1, k2_numbers, k36_valued_1(k4_ordinal1, k2_numbers, k9_comseq_3(B, A)), k9_comseq_3(B, k36_valued_1(k4_ordinal1, k2_numbers, A)))) ) ) ) ).
fof(t6_cfcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_ordinal1) &  (v5_valued_0(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) )  => r2_relset_1(k4_ordinal1, k2_numbers, k9_comseq_3(C, k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, B, A)), k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k9_comseq_3(C, B), k9_comseq_3(C, A)))) ) ) ) ) ) ).
fof(t7_cfcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (r1_tarski(k2_relset_1(k2_numbers, A), k9_subset_1(k2_numbers, k1_relset_1(k2_numbers, B), k1_relset_1(k2_numbers, C))) =>  (r2_relset_1(k4_ordinal1, k2_numbers, k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, A, k2_valued_1(k2_numbers, k2_numbers, k2_numbers, B, C)), k2_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, A, B), k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, A, C))) &  (r2_relset_1(k4_ordinal1, k2_numbers, k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, A, k46_valued_1(k2_numbers, k2_numbers, k2_numbers, B, C)), k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, A, B), k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, A, C))) & r2_relset_1(k4_ordinal1, k2_numbers, k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, A, k19_valued_1(k2_numbers, k2_numbers, k2_numbers, B, C)), k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, A, B), k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, A, C)))) ) ) ) ) ) ) ) ) ).
fof(t8_cfcont_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (r1_tarski(k2_relset_1(k2_numbers, B), k1_relset_1(k2_numbers, C)) => r2_relset_1(k4_ordinal1, k2_numbers, k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, B, k25_valued_1(k2_numbers, k2_numbers, C, A)), k25_valued_1(k4_ordinal1, k2_numbers, k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, B, C), A))) ) ) ) ) ) ) ).
fof(t9_cfcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (r1_tarski(k2_relset_1(k2_numbers, A), k1_relset_1(k2_numbers, B)) => r2_relset_1(k4_ordinal1, k2_numbers, k31_valued_1(k4_ordinal1, k2_numbers, k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, A, B)), k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, A, k31_valued_1(k2_numbers, k2_numbers, B)))) ) ) ) ) ).
fof(t10_cfcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (r1_tarski(k2_relset_1(k2_numbers, A), k1_relset_1(k2_numbers, k2_cfunct_1(k2_numbers, B))) => v9_ordinal1(k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, A, B))) ) ) ) ) ).
fof(t11_cfcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (r1_tarski(k2_relset_1(k2_numbers, A), k1_relset_1(k2_numbers, k2_cfunct_1(k2_numbers, B))) => r2_relset_1(k4_ordinal1, k2_numbers, k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, A, k2_cfunct_1(k2_numbers, B)), k36_valued_1(k4_ordinal1, k2_numbers, k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, A, B)))) ) ) ) ) ).
fof(t12_cfcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_ordinal1) &  (v5_valued_0(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) )  =>  (r1_tarski(k2_relset_1(k2_numbers, A), k1_relset_1(k2_numbers, B)) => r2_relset_1(k4_ordinal1, k1_numbers, k7_comseq_3(k9_comseq_3(C, k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, A, B))), k7_comseq_3(k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, k9_comseq_3(C, A), B)))) ) ) ) ) ) ) ).
fof(t13_cfcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_ordinal1) &  (v5_valued_0(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) )  =>  (r1_tarski(k2_relset_1(k2_numbers, A), k1_relset_1(k2_numbers, B)) => r2_relset_1(k4_ordinal1, k1_numbers, k8_comseq_3(k9_comseq_3(C, k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, A, B))), k8_comseq_3(k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, k9_comseq_3(C, A), B)))) ) ) ) ) ) ) ).
fof(t14_cfcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  ( (v1_partfun1(B, k2_numbers) & v1_partfun1(C, k2_numbers))  =>  (r2_relset_1(k4_ordinal1, k2_numbers, k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, A, k2_valued_1(k2_numbers, k2_numbers, k2_numbers, B, C)), k2_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, A, B), k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, A, C))) &  (r2_relset_1(k4_ordinal1, k2_numbers, k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, A, k46_valued_1(k2_numbers, k2_numbers, k2_numbers, B, C)), k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, A, B), k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, A, C))) & r2_relset_1(k4_ordinal1, k2_numbers, k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, A, k19_valued_1(k2_numbers, k2_numbers, k2_numbers, B, C)), k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, A, B), k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, A, C)))) ) ) ) ) ) ) ) ) ).
fof(t15_cfcont_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (v1_partfun1(C, k2_numbers) => r2_relset_1(k4_ordinal1, k2_numbers, k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, B, k25_valued_1(k2_numbers, k2_numbers, C, A)), k25_valued_1(k4_ordinal1, k2_numbers, k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, B, C), A))) ) ) ) ) ) ) ).
fof(t16_cfcont_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  ( (r1_tarski(k2_relset_1(k2_numbers, B), k1_relset_1(k2_numbers, k5_relset_1(k2_numbers, k2_numbers, C, A))) & k8_relset_1(k2_numbers, k2_numbers, C, k1_tarski(k5_numbers))=k1_xboole_0)  => r2_relset_1(k4_ordinal1, k2_numbers, k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, B, k5_relset_1(k2_numbers, k2_numbers, k2_cfunct_1(k2_numbers, C), A)), k36_valued_1(k4_ordinal1, k2_numbers, k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, B, k5_relset_1(k2_numbers, k2_numbers, C, A))))) ) ) ) ) ) ).
fof(t17_cfcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (m2_valued_0(B, k2_numbers, A) & v2_comseq_2(A))  => v2_comseq_2(B)) ) ) ) ) ).
fof(t18_cfcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (m2_valued_0(B, k2_numbers, A) & v2_comseq_2(A))  => k3_comseq_2(B)=k3_comseq_2(A)) ) ) ) ) ).
fof(t19_cfcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v2_comseq_2(A) =>  ( (! [C] :  (v7_ordinal1(C) =>  (? [D] :  (v7_ordinal1(D) &  (r1_xxreal_0(C, D) &  ~ (k8_nat_1(k2_numbers, B, D)=k8_nat_1(k2_numbers, A, D)) ) ) ) ) )  | v2_comseq_2(B)) ) ) ) ) ) ).
fof(t20_cfcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v2_comseq_2(A) =>  ( (! [C] :  (v7_ordinal1(C) =>  (? [D] :  (v7_ordinal1(D) &  (r1_xxreal_0(C, D) &  ~ (k8_nat_1(k2_numbers, B, D)=k8_nat_1(k2_numbers, A, D)) ) ) ) ) )  | k3_comseq_2(A)=k3_comseq_2(B)) ) ) ) ) ) ).
fof(t21_cfcont_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v2_comseq_2(B) =>  (v2_comseq_2(k1_valued_0(k2_numbers, B, A)) & k3_comseq_2(k1_valued_0(k2_numbers, B, A))=k3_comseq_2(B)) ) ) ) ) ) ).
fof(t22_cfcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v2_comseq_2(A) =>  ( (! [C] :  (v7_ordinal1(C) =>  ~ (r2_relset_1(k4_ordinal1, k2_numbers, A, k1_valued_0(k2_numbers, B, C))) ) )  | v2_comseq_2(B)) ) ) ) ) ) ).
fof(t23_cfcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v2_comseq_2(A) =>  ( (! [C] :  (v7_ordinal1(C) =>  ~ (r2_relset_1(k4_ordinal1, k2_numbers, A, k1_valued_0(k2_numbers, B, C))) ) )  | k3_comseq_2(B)=k3_comseq_2(A)) ) ) ) ) ) ).
fof(t24_cfcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ~ ( (v2_comseq_2(A) &  ( ~ (k3_comseq_2(A)=k5_numbers)  &  (! [B] :  (v7_ordinal1(B) =>  ~ (v9_ordinal1(k1_valued_0(k2_numbers, A, B))) ) ) ) ) ) ) ) ).
fof(t25_cfcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ~ ( (v2_comseq_2(A) &  ( ~ (k3_comseq_2(A)=k5_numbers)  &  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ~ ( (m2_valued_0(B, k2_numbers, A) & v9_ordinal1(B)) ) ) ) ) ) ) ) ) ).
fof(t26_cfcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v3_funct_1(A) => v2_comseq_2(A)) ) ) ).
fof(t27_cfcont_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( ( (v3_funct_1(B) & r2_hidden(A, k2_relset_1(k2_numbers, B)))  |  (v3_funct_1(B) &  (? [C] :  (v7_ordinal1(C) & k8_nat_1(k2_numbers, B, C)=A) ) ) )  => k3_comseq_2(B)=A) ) ) ) ) ).
fof(t28_cfcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v3_funct_1(A) =>  (! [B] :  (v7_ordinal1(B) => k3_comseq_2(A)=k8_nat_1(k2_numbers, A, B)) ) ) ) ) ).
fof(t29_cfcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v2_comseq_2(A) =>  (k3_comseq_2(A)=k5_numbers |  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (m2_valued_0(B, k2_numbers, A) & v9_ordinal1(B))  => k3_comseq_2(k36_valued_1(k4_ordinal1, k2_numbers, B))=k5_xcmplx_0(k3_comseq_2(A))) ) ) ) ) ) ) ).
fof(t30_cfcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (v3_funct_1(A) & v2_comseq_2(B))  =>  (k3_comseq_2(k2_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B))=k2_xcmplx_0(k3_funct_2(k4_ordinal1, k2_numbers, A, k5_numbers), k3_comseq_2(B)) &  (k3_comseq_2(k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B))=k6_xcmplx_0(k3_funct_2(k4_ordinal1, k2_numbers, A, k5_numbers), k3_comseq_2(B)) &  (k3_comseq_2(k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, B, A))=k6_xcmplx_0(k3_comseq_2(B), k3_funct_2(k4_ordinal1, k2_numbers, A, k5_numbers)) & k3_comseq_2(k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B))=k3_xcmplx_0(k3_funct_2(k4_ordinal1, k2_numbers, A, k5_numbers), k3_comseq_2(B))) ) ) ) ) ) ) ) ).
fof(t31_cfcont_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (r1_cfcont_1(B, A) <=>  (r2_hidden(A, k1_relset_1(k2_numbers, B)) &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (r1_tarski(k2_relset_1(k2_numbers, C), k1_relset_1(k2_numbers, B)) &  (v2_comseq_2(C) &  (k3_comseq_2(C)=A &  (! [D] :  (v7_ordinal1(D) =>  ~ (k8_nat_1(k2_numbers, C, D)=A) ) ) ) ) )  =>  (v2_comseq_2(k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, C, B)) & k7_partfun1(k2_numbers, B, A)=k3_comseq_2(k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, C, B))) ) ) ) ) ) ) ) ) ) ).
fof(t32_cfcont_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (r1_cfcont_1(B, A) <=>  (r2_hidden(A, k1_relset_1(k2_numbers, B)) &  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xcmplx_0(E) =>  ~ ( (r2_hidden(E, k1_relset_1(k2_numbers, B)) &  ( ~ (r1_xxreal_0(D, k9_complex1(k6_xcmplx_0(E, A))))  & r1_xxreal_0(C, k9_complex1(k6_xcmplx_0(k7_partfun1(k2_numbers, B, E), k7_partfun1(k2_numbers, B, A))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_cfcont_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  ( (r1_cfcont_1(B, A) & r1_cfcont_1(C, A))  =>  (r1_cfcont_1(k2_valued_1(k2_numbers, k2_numbers, k2_numbers, B, C), A) &  (r1_cfcont_1(k46_valued_1(k2_numbers, k2_numbers, k2_numbers, B, C), A) & r1_cfcont_1(k19_valued_1(k2_numbers, k2_numbers, k2_numbers, B, C), A)) ) ) ) ) ) ) ) ) ).
fof(t34_cfcont_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (r1_cfcont_1(C, B) => r1_cfcont_1(k25_valued_1(k2_numbers, k2_numbers, C, A), B)) ) ) ) ) ) ) ).
fof(t35_cfcont_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (r1_cfcont_1(B, A) => r1_cfcont_1(k31_valued_1(k2_numbers, k2_numbers, B), A)) ) ) ) ) ).
fof(t36_cfcont_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (r1_cfcont_1(B, A) =>  (k7_partfun1(k2_numbers, B, A)=k5_numbers | r1_cfcont_1(k2_cfunct_1(k2_numbers, B), A)) ) ) ) ) ) ).
fof(t37_cfcont_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  ( (r1_cfcont_1(B, A) & r1_cfcont_1(C, A))  =>  (k7_partfun1(k2_numbers, B, A)=k5_numbers | r1_cfcont_1(k1_cfunct_1(k2_numbers, C, B), A)) ) ) ) ) ) ) ) ).
fof(d2_cfcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [B] :  (r2_cfcont_1(A, B) <=>  (r1_tarski(B, k1_relset_1(k2_numbers, A)) &  (! [C] :  (v1_xcmplx_0(C) =>  (r2_hidden(C, B) => r1_cfcont_1(k5_relset_1(k2_numbers, k2_numbers, A, B), C)) ) ) ) ) ) ) ) ).
fof(t38_cfcont_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (r2_cfcont_1(B, A) <=>  (r1_tarski(A, k1_relset_1(k2_numbers, B)) &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (r1_tarski(k2_relset_1(k2_numbers, C), A) &  (v2_comseq_2(C) & r2_hidden(k3_comseq_2(C), A)) )  =>  (v2_comseq_2(k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, C, B)) & k7_partfun1(k2_numbers, B, k3_comseq_2(C))=k3_comseq_2(k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, C, B))) ) ) ) ) ) ) ) ) ).
fof(t39_cfcont_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (r2_cfcont_1(B, A) <=>  (r1_tarski(A, k1_relset_1(k2_numbers, B)) &  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( (r2_hidden(C, A) &  ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (v1_xcmplx_0(F) =>  ~ ( (r2_hidden(F, A) &  ( ~ (r1_xxreal_0(E, k9_complex1(k6_xcmplx_0(F, C))))  & r1_xxreal_0(D, k9_complex1(k6_xcmplx_0(k7_partfun1(k2_numbers, B, F), k7_partfun1(k2_numbers, B, C))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_cfcont_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (r2_cfcont_1(B, A) <=> r2_cfcont_1(k5_relset_1(k2_numbers, k2_numbers, B, A), A)) ) ) ) ).
fof(t41_cfcont_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  ( (r2_cfcont_1(C, A) & r1_tarski(B, A))  => r2_cfcont_1(C, B)) ) ) ) ) ).
fof(t42_cfcont_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (r2_hidden(A, k1_relset_1(k2_numbers, B)) => r2_cfcont_1(B, k1_tarski(A))) ) ) ) ) ).
fof(t43_cfcont_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  ( (r2_cfcont_1(B, A) & r2_cfcont_1(C, A))  =>  (r2_cfcont_1(k2_valued_1(k2_numbers, k2_numbers, k2_numbers, B, C), A) &  (r2_cfcont_1(k46_valued_1(k2_numbers, k2_numbers, k2_numbers, B, C), A) & r2_cfcont_1(k19_valued_1(k2_numbers, k2_numbers, k2_numbers, B, C), A)) ) ) ) ) ) ) ) ).
fof(t44_cfcont_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  ( (r2_cfcont_1(C, A) & r2_cfcont_1(D, B))  =>  (r2_cfcont_1(k2_valued_1(k2_numbers, k2_numbers, k2_numbers, C, D), k3_xboole_0(A, B)) &  (r2_cfcont_1(k46_valued_1(k2_numbers, k2_numbers, k2_numbers, C, D), k3_xboole_0(A, B)) & r2_cfcont_1(k19_valued_1(k2_numbers, k2_numbers, k2_numbers, C, D), k3_xboole_0(A, B))) ) ) ) ) ) ) ) ) ).
fof(t45_cfcont_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (r2_cfcont_1(C, B) => r2_cfcont_1(k25_valued_1(k2_numbers, k2_numbers, C, A), B)) ) ) ) ) ) ).
fof(t46_cfcont_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (r2_cfcont_1(B, A) => r2_cfcont_1(k31_valued_1(k2_numbers, k2_numbers, B), A)) ) ) ) ).
fof(t47_cfcont_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  ( (r2_cfcont_1(B, A) & k8_relset_1(k2_numbers, k2_numbers, B, k1_tarski(k5_numbers))=k1_xboole_0)  => r2_cfcont_1(k2_cfunct_1(k2_numbers, B), A)) ) ) ) ).
fof(t48_cfcont_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  ( (r2_cfcont_1(B, A) & k8_relset_1(k2_numbers, k2_numbers, k5_relset_1(k2_numbers, k2_numbers, B, A), k1_tarski(k5_numbers))=k1_xboole_0)  => r2_cfcont_1(k2_cfunct_1(k2_numbers, B), A)) ) ) ) ).
fof(t49_cfcont_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  ( (r2_cfcont_1(B, A) &  (k8_relset_1(k2_numbers, k2_numbers, B, k1_tarski(k5_numbers))=k1_xboole_0 & r2_cfcont_1(C, A)) )  => r2_cfcont_1(k1_cfunct_1(k2_numbers, C, B), A)) ) ) ) ) ) ).
fof(t50_cfcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  ( (v1_partfun1(A, k2_numbers) &  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k7_partfun1(k2_numbers, A, k2_xcmplx_0(B, C))=k2_xcmplx_0(k7_partfun1(k2_numbers, A, B), k7_partfun1(k2_numbers, A, C))) ) ) ) )  =>  ( (! [B] :  (v1_xcmplx_0(B) =>  ~ (r1_cfcont_1(A, B)) ) )  | r2_cfcont_1(A, k2_numbers)) ) ) ) ).
fof(d3_cfcont_1, axiom,  (! [A] :  (v1_cfcont_1(A) <=>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ~ ( (r1_tarski(k2_relset_1(k2_numbers, B), A) &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ~ ( (m2_valued_0(C, k2_numbers, B) &  (v2_comseq_2(C) & r2_hidden(k3_comseq_2(C), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_cfcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  ( (v1_cfcont_1(k1_relset_1(k2_numbers, A)) & r2_cfcont_1(A, k1_relset_1(k2_numbers, A)))  => v1_cfcont_1(k2_relset_1(k2_numbers, A))) ) ) ).
fof(t52_cfcont_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_numbers)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k2_numbers, B)) &  (v1_cfcont_1(A) & r2_cfcont_1(B, A)) )  => v1_cfcont_1(k7_relset_1(k2_numbers, k2_numbers, B, A))) ) ) ) ) ).
fof(s1_cfcont_1, axiom,  ( (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (v1_xcmplx_0(B) & p1_s1_cfcont_1(A, B)) ) ) )  =>  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  &  (! [B] :  (v7_ordinal1(B) => p1_s1_cfcont_1(B, k8_nat_1(k2_numbers, A, B))) ) ) ) ) ).
fof(fc1_cfdiff_1, axiom,  (! [A] :  ( (v2_xxreal_0(A) & v1_xreal_0(A))  =>  (v1_funct_1(k1_cfdiff_1(A)) &  (v1_funct_2(k1_cfdiff_1(A), k4_ordinal1, k2_numbers) & v2_comseq_2(k1_cfdiff_1(A))) ) ) ) ).
fof(fc2_cfdiff_1, axiom,  (! [A] :  ( (v2_xxreal_0(A) & v1_xreal_0(A))  =>  (v1_funct_1(k1_cfdiff_1(A)) &  (v9_ordinal1(k1_cfdiff_1(A)) &  (v1_funct_2(k1_cfdiff_1(A), k4_ordinal1, k2_numbers) & v1_cfdiff_1(k1_cfdiff_1(A), k5_numbers)) ) ) ) ) ).
fof(rc1_cfdiff_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k2_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_partfun1(A, k4_ordinal1) &  (v9_ordinal1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  (v1_valued_0(A) & v1_cfdiff_1(A, k5_numbers)) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_cfdiff_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers))) =>  ( (v1_funct_1(A) &  (v9_ordinal1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & v1_cfdiff_1(A, k5_numbers)) ) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & v2_comseq_2(A)) ) ) ) ) ).
fof(rc2_cfdiff_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k2_numbers) &  (v1_funct_1(A) &  (v3_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_partfun1(A, k4_ordinal1) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & v1_valued_0(A)) ) ) ) ) ) ) ) ) ) ).
fof(rc3_cfdiff_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))) &  (v1_relat_1(A) &  (v4_relat_1(A, k2_numbers) &  (v5_relat_1(A, k2_numbers) &  (v1_funct_1(A) &  (v1_partfun1(A, k2_numbers) &  (v1_valued_0(A) & v2_cfdiff_1(A)) ) ) ) ) ) ) ) ).
fof(rc4_cfdiff_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))) &  (v1_relat_1(A) &  (v4_relat_1(A, k2_numbers) &  (v5_relat_1(A, k2_numbers) &  (v1_funct_1(A) &  (v1_partfun1(A, k2_numbers) &  (v1_valued_0(A) & v3_cfdiff_1(A)) ) ) ) ) ) ) ) ).
fof(fc3_cfdiff_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_partfun1(A, k2_numbers) &  (v3_cfdiff_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers)))) ) )  &  (v1_funct_1(B) &  (v1_partfun1(B, k2_numbers) &  (v3_cfdiff_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers)))) ) ) )  =>  (v1_funct_1(k1_valued_1(A, B)) &  (v1_partfun1(k1_valued_1(A, B), k2_numbers) & v3_cfdiff_1(k1_valued_1(A, B))) ) ) ) ).
fof(fc4_cfdiff_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_partfun1(A, k2_numbers) &  (v3_cfdiff_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers)))) ) )  &  (v1_funct_1(B) &  (v1_partfun1(B, k2_numbers) &  (v3_cfdiff_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers)))) ) ) )  =>  (v1_funct_1(k45_valued_1(A, B)) &  (v1_partfun1(k45_valued_1(A, B), k2_numbers) & v3_cfdiff_1(k45_valued_1(A, B))) ) ) ) ).
fof(fc5_cfdiff_1, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) &  (v1_funct_1(B) &  (v1_partfun1(B, k2_numbers) &  (v3_cfdiff_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers)))) ) ) )  =>  (v1_funct_1(k24_valued_1(B, A)) &  (v1_partfun1(k24_valued_1(B, A), k2_numbers) & v3_cfdiff_1(k24_valued_1(B, A))) ) ) ) ).
fof(fc6_cfdiff_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_partfun1(A, k2_numbers) &  (v2_cfdiff_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers)))) ) )  &  (v1_funct_1(B) &  (v1_partfun1(B, k2_numbers) &  (v2_cfdiff_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers)))) ) ) )  =>  (v1_funct_1(k1_valued_1(A, B)) &  (v1_partfun1(k1_valued_1(A, B), k2_numbers) & v2_cfdiff_1(k1_valued_1(A, B))) ) ) ) ).
fof(fc7_cfdiff_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_partfun1(A, k2_numbers) &  (v2_cfdiff_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers)))) ) )  &  (v1_funct_1(B) &  (v1_partfun1(B, k2_numbers) &  (v2_cfdiff_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers)))) ) ) )  =>  (v1_funct_1(k45_valued_1(A, B)) &  (v1_partfun1(k45_valued_1(A, B), k2_numbers) & v2_cfdiff_1(k45_valued_1(A, B))) ) ) ) ).
fof(fc8_cfdiff_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_partfun1(A, k2_numbers) &  (v2_cfdiff_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers)))) ) )  &  (v1_funct_1(B) &  (v1_partfun1(B, k2_numbers) &  (v2_cfdiff_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers)))) ) ) )  =>  (v1_funct_1(k18_valued_1(A, B)) &  (v1_partfun1(k18_valued_1(A, B), k2_numbers) & v2_cfdiff_1(k18_valued_1(A, B))) ) ) ) ).
fof(fc9_cfdiff_1, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) &  (v1_funct_1(B) &  (v1_partfun1(B, k2_numbers) &  (v2_cfdiff_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers)))) ) ) )  =>  (v1_funct_1(k24_valued_1(B, A)) &  (v1_partfun1(k24_valued_1(B, A), k2_numbers) & v2_cfdiff_1(k24_valued_1(B, A))) ) ) ) ).
fof(fc10_cfdiff_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_partfun1(A, k2_numbers) &  (v3_cfdiff_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers)))) ) )  &  (v1_funct_1(B) &  (v1_partfun1(B, k2_numbers) &  (v3_cfdiff_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers)))) ) ) )  =>  (v1_funct_1(k18_valued_1(A, B)) &  (v1_partfun1(k18_valued_1(A, B), k2_numbers) & v2_cfdiff_1(k18_valued_1(A, B))) ) ) ) ).
fof(fc11_cfdiff_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_partfun1(A, k2_numbers) &  (v2_cfdiff_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers)))) ) )  &  (v1_funct_1(B) &  (v1_partfun1(B, k2_numbers) &  (v3_cfdiff_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers)))) ) ) )  =>  (v1_funct_1(k18_valued_1(A, B)) &  (v1_partfun1(k18_valued_1(A, B), k2_numbers) & v2_cfdiff_1(k18_valued_1(A, B))) ) ) ) ).
fof(fc12_cfdiff_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_partfun1(A, k2_numbers) &  (v2_cfdiff_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers)))) ) )  &  (v1_funct_1(B) &  (v1_partfun1(B, k2_numbers) &  (v3_cfdiff_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers)))) ) ) )  =>  (v1_funct_1(k18_valued_1(B, A)) &  (v1_partfun1(k18_valued_1(B, A), k2_numbers) & v2_cfdiff_1(k18_valued_1(B, A))) ) ) ) ).
fof(rc5_cfdiff_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_numbers)) &  (v1_membered(A) & v6_cfdiff_1(A)) ) ) ).
fof(fc13_cfdiff_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v9_ordinal1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  & v7_ordinal1(B))  =>  (v1_relat_1(k6_nat_1(A, B)) &  (v4_relat_1(k6_nat_1(A, B), k4_ordinal1) &  (v1_funct_1(k6_nat_1(A, B)) &  (v1_partfun1(k6_nat_1(A, B), k4_ordinal1) & v9_ordinal1(k6_nat_1(A, B))) ) ) ) ) ) ).
fof(fc14_cfdiff_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v9_ordinal1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  (v1_cfdiff_1(A, k5_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) ) )  & v7_ordinal1(B))  =>  (v1_funct_1(k6_nat_1(A, B)) &  (v1_funct_2(k6_nat_1(A, B), k4_ordinal1, k2_numbers) & v1_cfdiff_1(k6_nat_1(A, B), k5_numbers)) ) ) ) ).
fof(d1_cfdiff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v1_cfdiff_1(B, A) <=>  (v2_comseq_2(B) & k3_comseq_2(B)=A) ) ) ) ) ) ).
fof(t1_cfdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (r1_funct_2(k4_ordinal1, k1_numbers, k4_ordinal1, k2_numbers, A, B) & v2_comseq_2(A))  => v2_comseq_2(B)) ) ) ) ) ).
fof(d2_cfdiff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (B=k1_cfdiff_1(A) <=>  (! [C] :  (v7_ordinal1(C) => k8_nat_1(k2_numbers, B, C)=k7_xcmplx_0(1, k2_xcmplx_0(C, A))) ) ) ) ) ) ) ).
fof(t2_cfdiff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => v2_comseq_2(k1_cfdiff_1(A))) ) ) ).
fof(t3_cfdiff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k3_comseq_2(k1_cfdiff_1(A))=k5_numbers) ) ) ).
fof(t4_cfdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v3_funct_1(A) <=>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k8_nat_1(k2_numbers, A, B)=k8_nat_1(k2_numbers, A, C)) ) ) ) ) ) ) ).
fof(t5_cfdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_ordinal1) &  (v5_valued_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) )  =>  (! [C] :  (v7_ordinal1(C) => k8_nat_1(k2_numbers, k9_comseq_3(B, A), C)=k3_funct_2(k4_ordinal1, k2_numbers, A, k8_nat_1(k4_ordinal1, B, C))) ) ) ) ) ) ).
fof(d3_cfdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (v2_cfdiff_1(A) <=>  (! [B] :  ( (v1_funct_1(B) &  (v9_ordinal1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) &  (v1_cfdiff_1(B, k5_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) ) )  =>  (v2_comseq_2(k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k36_valued_1(k4_ordinal1, k2_numbers, B), k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, B, A))) & k3_comseq_2(k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k36_valued_1(k4_ordinal1, k2_numbers, B), k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, B, A)))=k5_numbers) ) ) ) ) ) ).
fof(d4_cfdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (v3_cfdiff_1(A) <=>  (? [B] :  (v1_xcmplx_0(B) &  (! [C] :  (v1_xcmplx_0(C) => k7_partfun1(k2_numbers, A, C)=k3_xcmplx_0(B, C)) ) ) ) ) ) ) ).
fof(t7_cfdiff_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (m1_cfdiff_1(B, A) => r2_hidden(A, B)) ) ) ) ).
fof(d6_cfdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [B] :  (v1_xcmplx_0(B) =>  (r1_cfdiff_1(A, B) <=>  (? [C] :  (m1_cfdiff_1(C, B) &  (r1_tarski(C, k1_relset_1(k2_numbers, A)) &  (? [D] :  ( (v1_funct_1(D) &  (v1_partfun1(D, k2_numbers) &  (v3_cfdiff_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers)))) ) )  &  (? [E] :  ( (v1_funct_1(E) &  (v1_partfun1(E, k2_numbers) &  (v2_cfdiff_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers)))) ) )  &  (! [F] :  (v1_xcmplx_0(F) =>  (r2_hidden(F, C) => k6_xcmplx_0(k7_partfun1(k2_numbers, A, F), k7_partfun1(k2_numbers, A, B))=k2_xcmplx_0(k10_funct_2(k2_numbers, k2_numbers, D, k6_xcmplx_0(F, B)), k10_funct_2(k2_numbers, k2_numbers, E, k6_xcmplx_0(F, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_cfdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [B] :  (v1_xcmplx_0(B) =>  (r1_cfdiff_1(A, B) =>  (! [C] :  (m1_subset_1(C, k2_numbers) =>  (C=k2_cfdiff_1(A, B) <=>  (? [D] :  (m1_cfdiff_1(D, B) &  (r1_tarski(D, k1_relset_1(k2_numbers, A)) &  (? [E] :  ( (v1_funct_1(E) &  (v1_partfun1(E, k2_numbers) &  (v3_cfdiff_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers)))) ) )  &  (? [F] :  ( (v1_funct_1(F) &  (v1_partfun1(F, k2_numbers) &  (v2_cfdiff_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers)))) ) )  &  (C=k10_funct_2(k2_numbers, k2_numbers, E, k6_complex1) &  (! [G] :  (v1_xcmplx_0(G) =>  (r2_hidden(G, D) => k6_xcmplx_0(k7_partfun1(k2_numbers, A, G), k7_partfun1(k2_numbers, A, B))=k2_xcmplx_0(k10_funct_2(k2_numbers, k2_numbers, E, k6_xcmplx_0(G, B)), k10_funct_2(k2_numbers, k2_numbers, F, k6_xcmplx_0(G, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_cfdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (v4_cfdiff_1(A) <=>  (! [B] :  (v1_xcmplx_0(B) =>  (r2_hidden(B, k1_relset_1(k2_numbers, A)) => r1_cfdiff_1(A, B)) ) ) ) ) ) ).
fof(d9_cfdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [B] :  (r2_cfdiff_1(A, B) <=>  (r1_tarski(B, k1_relset_1(k2_numbers, A)) & v4_cfdiff_1(k5_relset_1(k2_numbers, k2_numbers, A, B))) ) ) ) ) ).
fof(t8_cfdiff_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (r2_cfdiff_1(B, A) => m1_subset_1(A, k1_zfmisc_1(k2_numbers))) ) ) ) ).
fof(d10_cfdiff_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_numbers)) =>  (v5_cfdiff_1(A) <=>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (r1_tarski(k2_relset_1(k2_numbers, B), A) & v2_comseq_2(B))  => r2_hidden(k3_comseq_2(B), A)) ) ) ) ) ) ).
fof(d11_cfdiff_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_numbers)) =>  (v6_cfdiff_1(A) <=> v5_cfdiff_1(k3_subset_1(k2_numbers, A))) ) ) ).
fof(t9_cfdiff_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_numbers)) =>  (v6_cfdiff_1(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  ~ ( (r2_hidden(B, A) &  (! [C] :  (m1_cfdiff_1(C, B) =>  ~ (r1_tarski(C, A)) ) ) ) ) ) ) ) ) ) ).
fof(t11_cfdiff_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_numbers)) =>  ( (! [B] :  (v1_xcmplx_0(B) =>  ~ ( (r2_hidden(B, A) &  (! [C] :  (m1_cfdiff_1(C, B) =>  ~ (r1_tarski(C, A)) ) ) ) ) ) )  => v6_cfdiff_1(A)) ) ) ).
fof(t12_cfdiff_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_numbers)) =>  (v6_cfdiff_1(A) <=>  (! [B] :  (v1_xcmplx_0(B) =>  ~ ( (r2_hidden(B, A) &  (! [C] :  (m1_cfdiff_1(C, B) =>  ~ (r1_tarski(C, A)) ) ) ) ) ) ) ) ) ) ).
fof(t15_cfdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [B] :  ( (v6_cfdiff_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_numbers)))  =>  (r2_cfdiff_1(A, B) <=>  (r1_tarski(B, k1_relset_1(k2_numbers, A)) &  (! [C] :  (v1_xcmplx_0(C) =>  (r2_hidden(C, B) => r1_cfdiff_1(A, C)) ) ) ) ) ) ) ) ) ).
fof(t16_cfdiff_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_numbers)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (r2_cfdiff_1(B, A) => v6_cfdiff_1(A)) ) ) ) ) ).
fof(d12_cfdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [B] :  (r2_cfdiff_1(A, B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (C=k3_cfdiff_1(A, B) <=>  (k1_relset_1(k2_numbers, C)=B &  (! [D] :  (v1_xcmplx_0(D) =>  (r2_hidden(D, B) => k7_partfun1(k2_numbers, C, D)=k2_cfdiff_1(A, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_cfdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [B] :  ( (v6_cfdiff_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_numbers)))  =>  (r1_tarski(B, k1_relset_1(k2_numbers, A)) =>  ( (! [C] :  (v1_xcmplx_0(C) =>  ~ (k2_relset_1(k2_numbers, A)=k1_tarski(C)) ) )  |  (r2_cfdiff_1(A, B) &  (! [C] :  (v1_xcmplx_0(C) =>  (r2_hidden(C, B) => k7_partfun1(k2_numbers, k3_cfdiff_1(A, B), C)=k5_complex1) ) ) ) ) ) ) ) ) ) ).
fof(t18_cfdiff_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_relset_1(k4_ordinal1, k2_numbers, k1_valued_0(k2_numbers, k2_valued_1(k4_ordinal1, k2_numbers, k2_numbers, B, C), A), k2_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k1_valued_0(k2_numbers, B, A), k1_valued_0(k2_numbers, C, A)))) ) ) ) ) ) ).
fof(t19_cfdiff_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_relset_1(k4_ordinal1, k2_numbers, k1_valued_0(k2_numbers, k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, B, C), A), k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k1_valued_0(k2_numbers, B, A), k1_valued_0(k2_numbers, C, A)))) ) ) ) ) ) ).
fof(t20_cfdiff_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_relset_1(k4_ordinal1, k2_numbers, k1_valued_0(k2_numbers, k36_valued_1(k4_ordinal1, k2_numbers, B), A), k36_valued_1(k4_ordinal1, k2_numbers, k1_valued_0(k2_numbers, B, A)))) ) ) ) ).
fof(t21_cfdiff_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_relset_1(k4_ordinal1, k2_numbers, k1_valued_0(k2_numbers, k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, B, C), A), k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k1_valued_0(k2_numbers, B, A), k1_valued_0(k2_numbers, C, A)))) ) ) ) ) ) ).
fof(t22_cfdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (m1_cfdiff_1(C, B) =>  ( (r1_cfdiff_1(A, B) & r1_tarski(C, k1_relset_1(k2_numbers, A)))  =>  (! [D] :  ( (v1_funct_1(D) &  (v9_ordinal1(D) &  (v1_funct_2(D, k4_ordinal1, k2_numbers) &  (v1_cfdiff_1(D, k5_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v3_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k2_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  =>  ( (k2_relset_1(k2_numbers, E)=k1_tarski(B) & r1_tarski(k2_relset_1(k2_numbers, k2_valued_1(k4_ordinal1, k2_numbers, k2_numbers, D, E)), C))  =>  (v2_comseq_2(k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k36_valued_1(k4_ordinal1, k2_numbers, D), k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, k2_valued_1(k4_ordinal1, k2_numbers, k2_numbers, D, E), A), k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, E, A)))) & k2_cfdiff_1(A, B)=k3_comseq_2(k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k36_valued_1(k4_ordinal1, k2_numbers, D), k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, k2_valued_1(k4_ordinal1, k2_numbers, k2_numbers, D, E), A), k8_funct_2(k4_ordinal1, k2_numbers, k2_numbers, E, A))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_cfdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [C] :  (v1_xcmplx_0(C) =>  ( (r1_cfdiff_1(A, C) & r1_cfdiff_1(B, C))  =>  (r1_cfdiff_1(k2_valued_1(k2_numbers, k2_numbers, k2_numbers, A, B), C) & k2_cfdiff_1(k2_valued_1(k2_numbers, k2_numbers, k2_numbers, A, B), C)=k2_xcmplx_0(k2_cfdiff_1(A, C), k2_cfdiff_1(B, C))) ) ) ) ) ) ) ) ).
fof(t24_cfdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [C] :  (v1_xcmplx_0(C) =>  ( (r1_cfdiff_1(A, C) & r1_cfdiff_1(B, C))  =>  (r1_cfdiff_1(k46_valued_1(k2_numbers, k2_numbers, k2_numbers, A, B), C) & k2_cfdiff_1(k46_valued_1(k2_numbers, k2_numbers, k2_numbers, A, B), C)=k6_xcmplx_0(k2_cfdiff_1(A, C), k2_cfdiff_1(B, C))) ) ) ) ) ) ) ) ).
fof(t25_cfdiff_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [C] :  (v1_xcmplx_0(C) =>  (r1_cfdiff_1(B, C) =>  (r1_cfdiff_1(k25_valued_1(k2_numbers, k2_numbers, B, A), C) & k2_cfdiff_1(k25_valued_1(k2_numbers, k2_numbers, B, A), C)=k3_xcmplx_0(A, k2_cfdiff_1(B, C))) ) ) ) ) ) ) ) ).
fof(t26_cfdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [C] :  (v1_xcmplx_0(C) =>  ( (r1_cfdiff_1(A, C) & r1_cfdiff_1(B, C))  =>  (r1_cfdiff_1(k19_valued_1(k2_numbers, k2_numbers, k2_numbers, A, B), C) & k2_cfdiff_1(k19_valued_1(k2_numbers, k2_numbers, k2_numbers, A, B), C)=k2_xcmplx_0(k3_xcmplx_0(k7_partfun1(k2_numbers, B, C), k2_cfdiff_1(A, C)), k3_xcmplx_0(k7_partfun1(k2_numbers, A, C), k2_cfdiff_1(B, C)))) ) ) ) ) ) ) ) ).
fof(t27_cfdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [B] :  ( (v6_cfdiff_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_numbers)))  =>  ( (r1_tarski(B, k1_relset_1(k2_numbers, A)) & k5_relset_1(k2_numbers, k2_numbers, A, B)=k6_partfun1(B))  =>  (r2_cfdiff_1(A, B) &  (! [C] :  (v1_xcmplx_0(C) =>  (r2_hidden(C, B) => k7_partfun1(k2_numbers, k3_cfdiff_1(A, B), C)=k6_complex1) ) ) ) ) ) ) ) ) ).
fof(t28_cfdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [C] :  ( (v6_cfdiff_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_numbers)))  =>  ( (r1_tarski(C, k1_relset_1(k2_numbers, k2_valued_1(k2_numbers, k2_numbers, k2_numbers, A, B))) &  (r2_cfdiff_1(A, C) & r2_cfdiff_1(B, C)) )  =>  (r2_cfdiff_1(k2_valued_1(k2_numbers, k2_numbers, k2_numbers, A, B), C) &  (! [D] :  (v1_xcmplx_0(D) =>  (r2_hidden(D, C) => k7_partfun1(k2_numbers, k3_cfdiff_1(k2_valued_1(k2_numbers, k2_numbers, k2_numbers, A, B), C), D)=k2_xcmplx_0(k2_cfdiff_1(A, D), k2_cfdiff_1(B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_cfdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [C] :  ( (v6_cfdiff_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_numbers)))  =>  ( (r1_tarski(C, k1_relset_1(k2_numbers, k46_valued_1(k2_numbers, k2_numbers, k2_numbers, A, B))) &  (r2_cfdiff_1(A, C) & r2_cfdiff_1(B, C)) )  =>  (r2_cfdiff_1(k46_valued_1(k2_numbers, k2_numbers, k2_numbers, A, B), C) &  (! [D] :  (v1_xcmplx_0(D) =>  (r2_hidden(D, C) => k7_partfun1(k2_numbers, k3_cfdiff_1(k46_valued_1(k2_numbers, k2_numbers, k2_numbers, A, B), C), D)=k6_xcmplx_0(k2_cfdiff_1(A, D), k2_cfdiff_1(B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_cfdiff_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [C] :  ( (v6_cfdiff_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_numbers)))  =>  ( (r1_tarski(C, k1_relset_1(k2_numbers, k25_valued_1(k2_numbers, k2_numbers, B, A))) & r2_cfdiff_1(B, C))  =>  (r2_cfdiff_1(k25_valued_1(k2_numbers, k2_numbers, B, A), C) &  (! [D] :  (v1_xcmplx_0(D) =>  (r2_hidden(D, C) => k7_partfun1(k2_numbers, k3_cfdiff_1(k25_valued_1(k2_numbers, k2_numbers, B, A), C), D)=k3_xcmplx_0(A, k2_cfdiff_1(B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_cfdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [C] :  ( (v6_cfdiff_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_numbers)))  =>  ( (r1_tarski(C, k1_relset_1(k2_numbers, k19_valued_1(k2_numbers, k2_numbers, k2_numbers, A, B))) &  (r2_cfdiff_1(A, C) & r2_cfdiff_1(B, C)) )  =>  (r2_cfdiff_1(k19_valued_1(k2_numbers, k2_numbers, k2_numbers, A, B), C) &  (! [D] :  (v1_xcmplx_0(D) =>  (r2_hidden(D, C) => k7_partfun1(k2_numbers, k3_cfdiff_1(k19_valued_1(k2_numbers, k2_numbers, k2_numbers, A, B), C), D)=k2_xcmplx_0(k3_xcmplx_0(k7_partfun1(k2_numbers, B, D), k2_cfdiff_1(A, D)), k3_xcmplx_0(k7_partfun1(k2_numbers, A, D), k2_cfdiff_1(B, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_cfdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [B] :  ( (v6_cfdiff_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_numbers)))  =>  ( (r1_tarski(B, k1_relset_1(k2_numbers, A)) & v3_funct_1(k5_relset_1(k2_numbers, k2_numbers, A, B)))  =>  (r2_cfdiff_1(A, B) &  (! [C] :  (v1_xcmplx_0(C) =>  (r2_hidden(C, B) => k7_partfun1(k2_numbers, k3_cfdiff_1(A, B), C)=k5_complex1) ) ) ) ) ) ) ) ) ).
fof(t33_cfdiff_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [D] :  ( (v6_cfdiff_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_numbers)))  =>  ( (r1_tarski(D, k1_relset_1(k2_numbers, C)) &  (! [E] :  (v1_xcmplx_0(E) =>  (r2_hidden(E, D) => k7_partfun1(k2_numbers, C, E)=k2_xcmplx_0(k3_xcmplx_0(A, E), B)) ) ) )  =>  (r2_cfdiff_1(C, D) &  (! [E] :  (v1_xcmplx_0(E) =>  (r2_hidden(E, D) => k7_partfun1(k2_numbers, k3_cfdiff_1(C, D), E)=A) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_cfdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [B] :  (v1_xcmplx_0(B) =>  (r1_cfdiff_1(A, B) => r1_cfcont_1(A, B)) ) ) ) ) ).
fof(t35_cfdiff_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (r2_cfdiff_1(B, A) => r2_cfcont_1(B, A)) ) ) ) ).
fof(t36_cfdiff_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [C] :  ( (v6_cfdiff_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_numbers)))  =>  ( (r2_cfdiff_1(B, A) & r1_tarski(C, A))  => r2_cfdiff_1(B, C)) ) ) ) ) ) ).
fof(t38_cfdiff_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  ~ ( (r1_cfdiff_1(B, A) &  (! [C] :  ( (v1_funct_1(C) &  (v1_partfun1(C, k2_numbers) &  (v2_cfdiff_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers)))) ) )  =>  ~ ( (k10_funct_2(k2_numbers, k2_numbers, C, k5_complex1)=k5_complex1 & r1_cfcont_1(C, k5_complex1)) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_cfdiff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_funct_1(k1_cfdiff_1(A)) &  (v1_funct_2(k1_cfdiff_1(A), k4_ordinal1, k2_numbers) & m1_subset_1(k1_cfdiff_1(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) ) ) ).
fof(dt_m1_cfdiff_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (m1_cfdiff_1(B, A) => m1_subset_1(B, k1_zfmisc_1(k2_numbers))) ) ) ) ).
fof(existence_m1_cfdiff_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (? [B] : m1_cfdiff_1(B, A)) ) ) ).
fof(dt_k2_cfdiff_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  & v1_xcmplx_0(B))  => m1_subset_1(k2_cfdiff_1(A, B), k2_numbers)) ) ).
fof(dt_k3_cfdiff_1, axiom,  (! [A, B] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (v1_funct_1(k3_cfdiff_1(A, B)) & m1_subset_1(k3_cfdiff_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers)))) ) ) ).
fof(d5_cfdiff_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_numbers)) =>  (m1_cfdiff_1(B, A) <=>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(C, k5_numbers))  & r1_tarski(a_2_0_cfdiff_1(A, C), B)) ) ) ) ) ) ) ) ).
fof(t6_cfdiff_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  => m1_cfdiff_1(a_2_0_cfdiff_1(A, B), A)) ) ) ) ) ).
fof(t10_cfdiff_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_numbers)) =>  (v6_cfdiff_1(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  ~ ( (r2_hidden(B, A) &  (! [C] :  (v1_xreal_0(C) =>  ~ (r1_tarski(a_2_0_cfdiff_1(B, C), A)) ) ) ) ) ) ) ) ) ) ).
fof(t13_cfdiff_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_numbers)) =>  (! [B] :  (m1_subset_1(B, k2_numbers) =>  (! [C] :  (v1_xreal_0(C) =>  (A=a_2_1_cfdiff_1(B, C) => v6_cfdiff_1(A)) ) ) ) ) ) ) ).
fof(t14_cfdiff_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_numbers)) =>  (! [B] :  (m1_subset_1(B, k2_numbers) =>  (! [C] :  (v1_xreal_0(C) =>  (A=a_2_2_cfdiff_1(B, C) => v5_cfdiff_1(A)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_cfdiff_1, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(B) & v1_xreal_0(C))  =>  (r2_hidden(A, a_2_0_cfdiff_1(B, C)) <=>  (? [D] :  (v1_xcmplx_0(D) &  (A=D &  ~ (r1_xxreal_0(C, k9_complex1(k6_xcmplx_0(D, B)))) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_cfdiff_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k2_numbers) & v1_xreal_0(C))  =>  (r2_hidden(A, a_2_1_cfdiff_1(B, C)) <=>  (? [D] :  (v1_xcmplx_0(D) &  (A=D &  ~ (r1_xxreal_0(C, k9_complex1(k6_xcmplx_0(D, B)))) ) ) ) ) ) ) ).
fof(fraenkel_a_2_2_cfdiff_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k2_numbers) & v1_xreal_0(C))  =>  (r2_hidden(A, a_2_2_cfdiff_1(B, C)) <=>  (? [D] :  (v1_xcmplx_0(D) &  (A=D & r1_xxreal_0(k9_complex1(k6_xcmplx_0(D, B)), C)) ) ) ) ) ) ).
fof(t1_cfdiff_2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (v1_partfun1(A, k2_numbers) =>  (k1_relset_1(k2_numbers, k5_comseq_3(k2_numbers, A))=k2_numbers & k1_relset_1(k2_numbers, k6_comseq_3(k2_numbers, A))=k2_numbers) ) ) ) ).
fof(t2_cfdiff_2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (m2_finseq_2(G, k1_numbers, k1_euclid(2)) =>  ( ( (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  (r2_tarski(k2_xcmplx_0(H, k3_xcmplx_0(I, k7_complex1)), k1_relset_1(k2_numbers, A)) =>  (r2_tarski(k10_finseq_1(H, I), k1_relset_1(k1_euclid(2), B)) & k1_funct_1(B, k10_finseq_1(H, I))=k1_funct_1(k5_comseq_3(k2_numbers, A), k2_xcmplx_0(H, k3_xcmplx_0(I, k7_complex1)))) ) ) ) ) )  &  ( (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  (r2_tarski(k2_xcmplx_0(H, k3_xcmplx_0(I, k7_complex1)), k1_relset_1(k2_numbers, A)) =>  (r2_tarski(k10_finseq_1(H, I), k1_relset_1(k1_euclid(2), C)) & k1_funct_1(C, k10_finseq_1(H, I))=k1_funct_1(k6_comseq_3(k2_numbers, A), k2_xcmplx_0(H, k3_xcmplx_0(I, k7_complex1)))) ) ) ) ) )  &  (D=k2_xcmplx_0(E, k3_xcmplx_0(F, k7_complex1)) &  (G=k10_finseq_1(E, F) & r1_cfdiff_1(A, D)) ) ) )  =>  (r3_pdiff_1(2, 1, B, G) &  (r3_pdiff_1(2, 2, B, G) &  (r3_pdiff_1(2, 1, C, G) &  (r3_pdiff_1(2, 2, C, G) &  (k3_complex1(k2_cfdiff_1(A, D))=k10_pdiff_1(2, 1, B, G) &  (k3_complex1(k2_cfdiff_1(A, D))=k10_pdiff_1(2, 2, C, G) &  (k4_complex1(k2_cfdiff_1(A, D))=k4_xcmplx_0(k10_pdiff_1(2, 2, B, G)) & k4_complex1(k2_cfdiff_1(A, D))=k10_pdiff_1(2, 1, C, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_cfdiff_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( ( (v2_comseq_2(A) & k1_seq_2(A)=k5_numbers)  =>  (v2_comseq_2(k56_valued_1(k4_ordinal1, k1_numbers, A)) & k1_seq_2(k56_valued_1(k4_ordinal1, k1_numbers, A))=k5_numbers) )  &  ( (v2_comseq_2(k56_valued_1(k4_ordinal1, k1_numbers, A)) & k1_seq_2(k56_valued_1(k4_ordinal1, k1_numbers, A))=k5_numbers)  =>  (v2_comseq_2(A) & k1_seq_2(A)=k5_numbers) ) ) ) ) ).
fof(t4_cfdiff_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( ( (v3_normsp_1(B, A) & k5_normsp_1(A, B)=k4_struct_0(A))  =>  (v2_comseq_2(k5_normsp_0(A, B)) & k1_seq_2(k5_normsp_0(A, B))=k5_numbers) )  &  ( (v2_comseq_2(k5_normsp_0(A, B)) & k1_seq_2(k5_normsp_0(A, B))=k5_numbers)  =>  (v3_normsp_1(B, A) & k5_normsp_1(A, B)=k4_struct_0(A)) ) ) ) ) ) ) ).
fof(t5_cfdiff_2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(2)) =>  ( (D=k10_finseq_1(B, C) & r1_pdiff_1(2, 1, k3_pdiff_1(2, A), D))  =>  (r3_pdiff_1(2, 1, A, D) &  (r3_pdiff_1(2, 2, A, D) &  (k9_finseq_1(k10_pdiff_1(2, 1, A, D))=k1_funct_1(k8_pdiff_1(2, 1, k3_pdiff_1(2, A), D), k10_finseq_1(1, k5_numbers)) & k9_finseq_1(k10_pdiff_1(2, 2, A, D))=k1_funct_1(k8_pdiff_1(2, 1, k3_pdiff_1(2, A), D), k10_finseq_1(k5_numbers, 1))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_cfdiff_2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (m2_finseq_2(G, k1_numbers, k1_euclid(2)) =>  ( ( (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  (r2_tarski(k10_finseq_1(H, I), k1_relset_1(k1_euclid(2), C)) => r2_tarski(k2_xcmplx_0(H, k3_xcmplx_0(I, k7_complex1)), k1_relset_1(k2_numbers, A))) ) ) ) )  &  ( (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  (r2_tarski(k2_xcmplx_0(H, k3_xcmplx_0(I, k7_complex1)), k1_relset_1(k2_numbers, A)) =>  (r2_tarski(k10_finseq_1(H, I), k1_relset_1(k1_euclid(2), B)) & k1_funct_1(B, k10_finseq_1(H, I))=k1_funct_1(k5_comseq_3(k2_numbers, A), k2_xcmplx_0(H, k3_xcmplx_0(I, k7_complex1)))) ) ) ) ) )  &  ( (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  (r2_tarski(k2_xcmplx_0(H, k3_xcmplx_0(I, k7_complex1)), k1_relset_1(k2_numbers, A)) =>  (r2_tarski(k10_finseq_1(H, I), k1_relset_1(k1_euclid(2), C)) & k1_funct_1(C, k10_finseq_1(H, I))=k1_funct_1(k6_comseq_3(k2_numbers, A), k2_xcmplx_0(H, k3_xcmplx_0(I, k7_complex1)))) ) ) ) ) )  &  (D=k2_xcmplx_0(E, k3_xcmplx_0(F, k7_complex1)) &  (G=k10_finseq_1(E, F) &  (r1_pdiff_1(2, 1, k3_pdiff_1(2, B), G) &  (r1_pdiff_1(2, 1, k3_pdiff_1(2, C), G) &  (k10_pdiff_1(2, 1, B, G)=k10_pdiff_1(2, 2, C, G) & k10_pdiff_1(2, 2, B, G)=k4_xcmplx_0(k10_pdiff_1(2, 1, C, G))) ) ) ) ) ) ) )  =>  (r1_cfdiff_1(A, D) &  (r3_pdiff_1(2, 1, B, G) &  (r3_pdiff_1(2, 2, B, G) &  (r3_pdiff_1(2, 1, C, G) &  (r3_pdiff_1(2, 2, C, G) &  (k3_complex1(k2_cfdiff_1(A, D))=k10_pdiff_1(2, 1, B, G) &  (k3_complex1(k2_cfdiff_1(A, D))=k10_pdiff_1(2, 2, C, G) &  (k4_complex1(k2_cfdiff_1(A, D))=k4_xcmplx_0(k10_pdiff_1(2, 2, B, G)) & k4_complex1(k2_cfdiff_1(A, D))=k10_pdiff_1(2, 1, C, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_cfuncdom, axiom,  (! [A] :  (v1_funct_1(k1_cfuncdom(A)) &  (v1_funct_2(k1_cfuncdom(A), k2_zfmisc_1(k9_funct_2(A, k2_numbers), k9_funct_2(A, k2_numbers)), k9_funct_2(A, k2_numbers)) & v7_valued_2(k1_cfuncdom(A))) ) ) ).
fof(fc2_cfuncdom, axiom,  (! [A] :  (v1_funct_1(k2_cfuncdom(A)) &  (v1_funct_2(k2_cfuncdom(A), k2_zfmisc_1(k9_funct_2(A, k2_numbers), k9_funct_2(A, k2_numbers)), k9_funct_2(A, k2_numbers)) & v7_valued_2(k2_cfuncdom(A))) ) ) ).
fof(fc3_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k3_cfuncdom(A)) &  (v1_funct_2(k3_cfuncdom(A), k2_zfmisc_1(k2_numbers, k9_funct_2(A, k2_numbers)), k9_funct_2(A, k2_numbers)) & v7_valued_2(k3_cfuncdom(A))) ) ) ) ).
fof(fc4_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k6_cfuncdom(A)))  &  (v13_algstr_0(k6_cfuncdom(A)) &  (v2_rlvect_1(k6_cfuncdom(A)) &  (v3_rlvect_1(k6_cfuncdom(A)) &  (v4_rlvect_1(k6_cfuncdom(A)) &  (v1_clvect_1(k6_cfuncdom(A)) &  (v2_clvect_1(k6_cfuncdom(A)) &  (v3_clvect_1(k6_cfuncdom(A)) &  (v4_clvect_1(k6_cfuncdom(A)) & v5_clvect_1(k6_cfuncdom(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(fc5_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k7_cfuncdom(A)))  & v36_algstr_0(k7_cfuncdom(A))) ) ) ).
fof(fc6_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => v1_group_1(k7_cfuncdom(A))) ) ).
fof(rc1_cfuncdom, axiom,  (? [A] :  (l1_cfuncdom(A) & v1_cfuncdom(A)) ) ).
fof(rc2_cfuncdom, axiom,  (? [A] :  (l1_cfuncdom(A) &  ~ (v2_struct_0(A)) ) ) ).
fof(fc7_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k8_cfuncdom(A)))  & v1_cfuncdom(k8_cfuncdom(A))) ) ) ).
fof(fc8_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_group_1(k8_cfuncdom(A)) & v1_cfuncdom(k8_cfuncdom(A))) ) ) ).
fof(fc9_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v13_algstr_0(k8_cfuncdom(A)) &  (v2_rlvect_1(k8_cfuncdom(A)) &  (v3_rlvect_1(k8_cfuncdom(A)) &  (v4_rlvect_1(k8_cfuncdom(A)) &  (v2_clvect_1(k8_cfuncdom(A)) &  (v3_clvect_1(k8_cfuncdom(A)) &  (v4_clvect_1(k8_cfuncdom(A)) &  (v1_vectsp_1(k8_cfuncdom(A)) &  (v3_vectsp_1(k8_cfuncdom(A)) &  (v3_group_1(k8_cfuncdom(A)) &  (v5_group_1(k8_cfuncdom(A)) &  (v1_cfuncdom(k8_cfuncdom(A)) & v2_cfuncdom(k8_cfuncdom(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_cfuncdom, axiom,  (? [A] :  (l1_cfuncdom(A) &  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_cfuncdom(A) & v2_cfuncdom(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_cfuncdom, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k9_funct_2(A, k2_numbers), k9_funct_2(A, k2_numbers)), k9_funct_2(A, k2_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, k2_numbers), k9_funct_2(A, k2_numbers)), k9_funct_2(A, k2_numbers))))) )  =>  (B=k1_cfuncdom(A) <=>  (! [C] :  (m2_funct_2(C, A, k2_numbers, k9_funct_2(A, k2_numbers)) =>  (! [D] :  (m2_funct_2(D, A, k2_numbers, k9_funct_2(A, k2_numbers)) => r2_funct_2(A, k2_numbers, k1_funcsdom(A, k2_numbers, B, C, D), k3_funcsdom(k2_numbers, A, k3_binop_2, C, D))) ) ) ) ) ) ) ) ).
fof(d2_cfuncdom, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k9_funct_2(A, k2_numbers), k9_funct_2(A, k2_numbers)), k9_funct_2(A, k2_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, k2_numbers), k9_funct_2(A, k2_numbers)), k9_funct_2(A, k2_numbers))))) )  =>  (B=k2_cfuncdom(A) <=>  (! [C] :  (m2_funct_2(C, A, k2_numbers, k9_funct_2(A, k2_numbers)) =>  (! [D] :  (m2_funct_2(D, A, k2_numbers, k9_funct_2(A, k2_numbers)) => r2_funct_2(A, k2_numbers, k1_funcsdom(A, k2_numbers, B, C, D), k3_funcsdom(k2_numbers, A, k5_binop_2, C, D))) ) ) ) ) ) ) ) ).
fof(d3_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k2_numbers, k9_funct_2(A, k2_numbers)), k9_funct_2(A, k2_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, k9_funct_2(A, k2_numbers)), k9_funct_2(A, k2_numbers))))) )  =>  (B=k3_cfuncdom(A) <=>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (m2_funct_2(D, A, k2_numbers, k9_funct_2(A, k2_numbers)) =>  (! [E] :  (m1_subset_1(E, A) => k1_funct_1(k1_funct_1(B, k4_tarski(C, D)), E)=k3_xcmplx_0(C, k3_funct_2(A, k2_numbers, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k4_cfuncdom(A)=k7_funcop_1(A, k5_numbers)) ) ).
fof(d5_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k5_cfuncdom(A)=k8_funcop_1(k2_numbers, A, k6_complex1)) ) ).
fof(t1_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k2_numbers, k9_funct_2(A, k2_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k2_numbers, k9_funct_2(A, k2_numbers)) =>  (! [D] :  (m2_funct_2(D, A, k2_numbers, k9_funct_2(A, k2_numbers)) =>  (r2_funct_2(A, k2_numbers, D, k1_funcsdom(A, k2_numbers, k1_cfuncdom(A), B, C)) <=>  (! [E] :  (m1_subset_1(E, A) => k3_funct_2(A, k2_numbers, D, E)=k2_xcmplx_0(k3_funct_2(A, k2_numbers, B, E), k3_funct_2(A, k2_numbers, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k2_numbers, k9_funct_2(A, k2_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k2_numbers, k9_funct_2(A, k2_numbers)) =>  (! [D] :  (m2_funct_2(D, A, k2_numbers, k9_funct_2(A, k2_numbers)) =>  (r2_funct_2(A, k2_numbers, D, k1_funcsdom(A, k2_numbers, k2_cfuncdom(A), B, C)) <=>  (! [E] :  (m1_subset_1(E, A) => k3_funct_2(A, k2_numbers, D, E)=k3_xcmplx_0(k3_funct_2(A, k2_numbers, B, E), k3_funct_2(A, k2_numbers, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (k4_cfuncdom(A)=k5_cfuncdom(A)) ) ) ).
fof(t4_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k2_numbers, k9_funct_2(A, k2_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k2_numbers, k9_funct_2(A, k2_numbers)) =>  (! [D] :  (v1_xcmplx_0(D) =>  (C=k1_funct_1(k3_cfuncdom(A), k4_tarski(D, B)) <=>  (! [E] :  (m1_subset_1(E, A) => k3_funct_2(A, k2_numbers, C, E)=k3_xcmplx_0(D, k3_funct_2(A, k2_numbers, B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k2_numbers, k9_funct_2(A, k2_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k2_numbers, k9_funct_2(A, k2_numbers)) => r2_funct_2(A, k2_numbers, k1_funcsdom(A, k2_numbers, k1_cfuncdom(A), B, C), k1_funcsdom(A, k2_numbers, k1_cfuncdom(A), C, B))) ) ) ) ) ) ).
fof(t6_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k2_numbers, k9_funct_2(A, k2_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k2_numbers, k9_funct_2(A, k2_numbers)) =>  (! [D] :  (m2_funct_2(D, A, k2_numbers, k9_funct_2(A, k2_numbers)) => r2_funct_2(A, k2_numbers, k1_funcsdom(A, k2_numbers, k1_cfuncdom(A), B, k1_funcsdom(A, k2_numbers, k1_cfuncdom(A), C, D)), k1_funcsdom(A, k2_numbers, k1_cfuncdom(A), k1_funcsdom(A, k2_numbers, k1_cfuncdom(A), B, C), D))) ) ) ) ) ) ) ) ).
fof(t7_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k2_numbers, k9_funct_2(A, k2_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k2_numbers, k9_funct_2(A, k2_numbers)) => r2_funct_2(A, k2_numbers, k1_funcsdom(A, k2_numbers, k2_cfuncdom(A), B, C), k1_funcsdom(A, k2_numbers, k2_cfuncdom(A), C, B))) ) ) ) ) ) ).
fof(t8_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k2_numbers, k9_funct_2(A, k2_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k2_numbers, k9_funct_2(A, k2_numbers)) =>  (! [D] :  (m2_funct_2(D, A, k2_numbers, k9_funct_2(A, k2_numbers)) => r2_funct_2(A, k2_numbers, k1_funcsdom(A, k2_numbers, k2_cfuncdom(A), B, k1_funcsdom(A, k2_numbers, k2_cfuncdom(A), C, D)), k1_funcsdom(A, k2_numbers, k2_cfuncdom(A), k1_funcsdom(A, k2_numbers, k2_cfuncdom(A), B, C), D))) ) ) ) ) ) ) ) ).
fof(t9_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k2_numbers, k9_funct_2(A, k2_numbers)) => r2_funct_2(A, k2_numbers, k1_funcsdom(A, k2_numbers, k2_cfuncdom(A), k5_cfuncdom(A), B), B)) ) ) ) ).
fof(t10_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k2_numbers, k9_funct_2(A, k2_numbers)) => r2_funct_2(A, k2_numbers, k1_funcsdom(A, k2_numbers, k1_cfuncdom(A), k4_cfuncdom(A), B), B)) ) ) ) ).
fof(t11_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k2_numbers, k9_funct_2(A, k2_numbers)) => k1_binop_1(k1_cfuncdom(A), B, k1_funct_1(k3_cfuncdom(A), k4_tarski(k4_xcmplx_0(k6_complex1), B)))=k4_cfuncdom(A)) ) ) ) ).
fof(t12_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k2_numbers, k9_funct_2(A, k2_numbers)) => r2_funct_2(A, k2_numbers, k2_funcsdom(A, k2_numbers, k2_numbers, k9_funct_2(A, k2_numbers), k3_cfuncdom(A), k1_domain_1(k2_numbers, k9_funct_2(A, k2_numbers), k6_complex1, B)), B)) ) ) ) ).
fof(t13_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k2_numbers, k9_funct_2(A, k2_numbers)) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) => k1_funct_1(k3_cfuncdom(A), k4_tarski(C, k1_funct_1(k3_cfuncdom(A), k4_tarski(D, B))))=k1_funct_1(k3_cfuncdom(A), k4_tarski(k3_xcmplx_0(C, D), B))) ) ) ) ) ) ) ) ).
fof(t14_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k2_numbers, k9_funct_2(A, k2_numbers)) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) => k1_binop_1(k1_cfuncdom(A), k1_funct_1(k3_cfuncdom(A), k4_tarski(C, B)), k1_funct_1(k3_cfuncdom(A), k4_tarski(D, B)))=k1_funct_1(k3_cfuncdom(A), k4_tarski(k2_xcmplx_0(C, D), B))) ) ) ) ) ) ) ) ).
fof(t15_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k2_numbers, k9_funct_2(A, k2_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k2_numbers, k9_funct_2(A, k2_numbers)) =>  (! [D] :  (m2_funct_2(D, A, k2_numbers, k9_funct_2(A, k2_numbers)) => r2_funct_2(A, k2_numbers, k1_funcsdom(A, k2_numbers, k2_cfuncdom(A), B, k1_funcsdom(A, k2_numbers, k1_cfuncdom(A), C, D)), k1_funcsdom(A, k2_numbers, k1_cfuncdom(A), k1_funcsdom(A, k2_numbers, k2_cfuncdom(A), B, C), k1_funcsdom(A, k2_numbers, k2_cfuncdom(A), B, D)))) ) ) ) ) ) ) ) ).
fof(t16_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k2_numbers, k9_funct_2(A, k2_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k2_numbers, k9_funct_2(A, k2_numbers)) =>  (! [D] :  (v1_xcmplx_0(D) => k1_binop_1(k2_cfuncdom(A), k1_funct_1(k3_cfuncdom(A), k4_tarski(D, B)), C)=k1_funct_1(k3_cfuncdom(A), k4_tarski(D, k1_funcsdom(A, k2_numbers, k2_cfuncdom(A), B, C)))) ) ) ) ) ) ) ) ).
fof(t17_cfuncdom, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (? [C] :  (m2_funct_2(C, B, k2_numbers, k9_funct_2(B, k2_numbers)) &  (? [D] :  (m2_funct_2(D, B, k2_numbers, k9_funct_2(B, k2_numbers)) &  ( (! [E] :  (r2_tarski(E, B) =>  ( (E=A => k1_funct_1(C, E)=k6_complex1)  &  ( ~ (E=A)  => k1_funct_1(C, E)=k5_numbers) ) ) )  &  (! [E] :  (r2_tarski(E, B) =>  ( (E=A => k1_funct_1(D, E)=k5_numbers)  &  ( ~ (E=A)  => k1_funct_1(D, E)=k6_complex1) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_cfuncdom, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m2_funct_2(D, C, k2_numbers, k9_funct_2(C, k2_numbers)) =>  (! [E] :  (m2_funct_2(E, C, k2_numbers, k9_funct_2(C, k2_numbers)) =>  ( (r2_tarski(A, C) &  (r2_tarski(B, C) &  ( (! [F] :  (r2_tarski(F, C) =>  ( (F=A => k1_funct_1(D, F)=k6_complex1)  &  ( ~ (F=A)  => k1_funct_1(D, F)=k5_numbers) ) ) )  &  (! [F] :  (r2_tarski(F, C) =>  ( (F=A => k1_funct_1(E, F)=k5_numbers)  &  ( ~ (F=A)  => k1_funct_1(E, F)=k6_complex1) ) ) ) ) ) )  =>  (A=B |  (! [F] :  (v1_xcmplx_0(F) =>  (! [G] :  (v1_xcmplx_0(G) =>  (k1_binop_1(k1_cfuncdom(C), k1_funct_1(k3_cfuncdom(C), k4_tarski(F, D)), k1_funct_1(k3_cfuncdom(C), k4_tarski(G, E)))=k4_cfuncdom(C) =>  (F=k5_complex1 & G=k5_complex1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_cfuncdom, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  ~ ( (r2_tarski(A, C) &  (r2_tarski(B, C) &  ( ~ (A=B)  &  (! [D] :  (m2_funct_2(D, C, k2_numbers, k9_funct_2(C, k2_numbers)) =>  (! [E] :  (m2_funct_2(E, C, k2_numbers, k9_funct_2(C, k2_numbers)) =>  (? [F] :  (v1_xcmplx_0(F) &  (? [G] :  (v1_xcmplx_0(G) &  (k1_binop_1(k1_cfuncdom(C), k1_funct_1(k3_cfuncdom(C), k4_tarski(F, D)), k1_funct_1(k3_cfuncdom(C), k4_tarski(G, E)))=k4_cfuncdom(C) &  ~ ( (F=k5_numbers & G=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_cfuncdom, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m2_funct_2(D, C, k2_numbers, k9_funct_2(C, k2_numbers)) =>  (! [E] :  (m2_funct_2(E, C, k2_numbers, k9_funct_2(C, k2_numbers)) =>  ( (C=k2_tarski(A, B) &  ( (! [F] :  (r2_tarski(F, C) =>  ( (F=A => k1_funct_1(D, F)=k6_complex1)  &  ( ~ (F=A)  => k1_funct_1(D, F)=k5_numbers) ) ) )  &  (! [F] :  (r2_tarski(F, C) =>  ( (F=A => k1_funct_1(E, F)=k5_numbers)  &  ( ~ (F=A)  => k1_funct_1(E, F)=k6_complex1) ) ) ) ) )  =>  (A=B |  (! [F] :  (m2_funct_2(F, C, k2_numbers, k9_funct_2(C, k2_numbers)) =>  (? [G] :  (v1_xcmplx_0(G) &  (? [H] :  (v1_xcmplx_0(H) & F=k1_binop_1(k1_cfuncdom(C), k1_funct_1(k3_cfuncdom(C), k4_tarski(G, D)), k1_funct_1(k3_cfuncdom(C), k4_tarski(H, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_cfuncdom, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  ~ ( (C=k2_tarski(A, B) &  ( ~ (A=B)  &  (! [D] :  (m2_funct_2(D, C, k2_numbers, k9_funct_2(C, k2_numbers)) =>  (! [E] :  (m2_funct_2(E, C, k2_numbers, k9_funct_2(C, k2_numbers)) =>  (? [F] :  (m2_funct_2(F, C, k2_numbers, k9_funct_2(C, k2_numbers)) &  (! [G] :  (v1_xcmplx_0(G) =>  (! [H] :  (v1_xcmplx_0(H) =>  ~ (F=k1_binop_1(k1_cfuncdom(C), k1_funct_1(k3_cfuncdom(C), k4_tarski(G, D)), k1_funct_1(k3_cfuncdom(C), k4_tarski(H, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_cfuncdom, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  ~ ( (C=k2_tarski(A, B) &  ( ~ (A=B)  &  (! [D] :  (m2_funct_2(D, C, k2_numbers, k9_funct_2(C, k2_numbers)) =>  (! [E] :  (m2_funct_2(E, C, k2_numbers, k9_funct_2(C, k2_numbers)) =>  ~ ( ( (! [F] :  (v1_xcmplx_0(F) =>  (! [G] :  (v1_xcmplx_0(G) =>  (k1_binop_1(k1_cfuncdom(C), k1_funct_1(k3_cfuncdom(C), k4_tarski(F, D)), k1_funct_1(k3_cfuncdom(C), k4_tarski(G, E)))=k4_cfuncdom(C) =>  (F=k5_numbers & G=k5_numbers) ) ) ) ) )  &  (! [F] :  (m2_funct_2(F, C, k2_numbers, k9_funct_2(C, k2_numbers)) =>  (? [G] :  (v1_xcmplx_0(G) &  (? [H] :  (v1_xcmplx_0(H) & F=k1_binop_1(k1_cfuncdom(C), k1_funct_1(k3_cfuncdom(C), k4_tarski(G, D)), k1_funct_1(k3_cfuncdom(C), k4_tarski(H, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k6_cfuncdom(A)=g1_clvect_1(k9_funct_2(A, k2_numbers), k4_cfuncdom(A), k1_cfuncdom(A), k3_cfuncdom(A))) ) ).
fof(t23_cfuncdom, axiom,  (? [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_clvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) ) )  &  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  ( (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  (v1_xcmplx_0(E) =>  (k3_rlvect_1(A, k1_clvect_1(A, B, D), k1_clvect_1(A, C, E))=k4_struct_0(A) =>  (D=k5_numbers & E=k5_numbers) ) ) ) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (v1_xcmplx_0(E) &  (? [F] :  (v1_xcmplx_0(F) & D=k3_rlvect_1(A, k1_clvect_1(A, B, E), k1_clvect_1(A, C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k7_cfuncdom(A)=g6_algstr_0(k9_funct_2(A, k2_numbers), k1_cfuncdom(A), k2_cfuncdom(A), k5_cfuncdom(A), k4_cfuncdom(A))) ) ).
fof(t24_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k7_cfuncdom(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_cfuncdom(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_cfuncdom(A))) =>  (k1_algstr_0(k7_cfuncdom(A), B, C)=k1_algstr_0(k7_cfuncdom(A), C, B) &  (k1_algstr_0(k7_cfuncdom(A), k1_algstr_0(k7_cfuncdom(A), B, C), D)=k1_algstr_0(k7_cfuncdom(A), B, k1_algstr_0(k7_cfuncdom(A), C, D)) &  (k1_algstr_0(k7_cfuncdom(A), B, k4_struct_0(k7_cfuncdom(A)))=B &  (v10_algstr_0(B, k7_cfuncdom(A)) &  (k6_algstr_0(k7_cfuncdom(A), B, C)=k6_algstr_0(k7_cfuncdom(A), C, B) &  (k6_algstr_0(k7_cfuncdom(A), k6_algstr_0(k7_cfuncdom(A), B, C), D)=k6_algstr_0(k7_cfuncdom(A), B, k6_algstr_0(k7_cfuncdom(A), C, D)) &  (k6_algstr_0(k7_cfuncdom(A), B, k5_struct_0(k7_cfuncdom(A)))=B &  (k6_algstr_0(k7_cfuncdom(A), k5_struct_0(k7_cfuncdom(A)), B)=B &  (k6_algstr_0(k7_cfuncdom(A), B, k1_algstr_0(k7_cfuncdom(A), C, D))=k1_algstr_0(k7_cfuncdom(A), k6_algstr_0(k7_cfuncdom(A), B, C), k6_algstr_0(k7_cfuncdom(A), B, D)) & k6_algstr_0(k7_cfuncdom(A), k1_algstr_0(k7_cfuncdom(A), C, D), B)=k1_algstr_0(k7_cfuncdom(A), k6_algstr_0(k7_cfuncdom(A), C, B), k6_algstr_0(k7_cfuncdom(A), D, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k7_cfuncdom(A)))  &  (v13_algstr_0(k7_cfuncdom(A)) &  (v2_rlvect_1(k7_cfuncdom(A)) &  (v3_rlvect_1(k7_cfuncdom(A)) &  (v4_rlvect_1(k7_cfuncdom(A)) &  (v4_vectsp_1(k7_cfuncdom(A)) &  (v5_vectsp_1(k7_cfuncdom(A)) &  (v3_group_1(k7_cfuncdom(A)) &  (v5_group_1(k7_cfuncdom(A)) & l6_algstr_0(k7_cfuncdom(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k8_cfuncdom(A)=g1_cfuncdom(k9_funct_2(A, k2_numbers), k2_cfuncdom(A), k1_cfuncdom(A), k3_cfuncdom(A), k5_cfuncdom(A), k4_cfuncdom(A))) ) ).
fof(t26_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k8_cfuncdom(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k8_cfuncdom(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k8_cfuncdom(A))) =>  (! [E] :  (v1_xcmplx_0(E) =>  (! [F] :  (v1_xcmplx_0(F) =>  (k1_algstr_0(k8_cfuncdom(A), B, C)=k1_algstr_0(k8_cfuncdom(A), C, B) &  (k1_algstr_0(k8_cfuncdom(A), k1_algstr_0(k8_cfuncdom(A), B, C), D)=k1_algstr_0(k8_cfuncdom(A), B, k1_algstr_0(k8_cfuncdom(A), C, D)) &  (k1_algstr_0(k8_cfuncdom(A), B, k4_struct_0(k8_cfuncdom(A)))=B &  (v10_algstr_0(B, k8_cfuncdom(A)) &  (k6_algstr_0(k8_cfuncdom(A), B, C)=k6_algstr_0(k8_cfuncdom(A), C, B) &  (k6_algstr_0(k8_cfuncdom(A), k6_algstr_0(k8_cfuncdom(A), B, C), D)=k6_algstr_0(k8_cfuncdom(A), B, k6_algstr_0(k8_cfuncdom(A), C, D)) &  (k6_algstr_0(k8_cfuncdom(A), B, k5_struct_0(k8_cfuncdom(A)))=B &  (k6_algstr_0(k8_cfuncdom(A), B, k1_algstr_0(k8_cfuncdom(A), C, D))=k1_algstr_0(k8_cfuncdom(A), k6_algstr_0(k8_cfuncdom(A), B, C), k6_algstr_0(k8_cfuncdom(A), B, D)) &  (k1_clvect_1(k8_cfuncdom(A), k6_algstr_0(k8_cfuncdom(A), B, C), E)=k6_algstr_0(k8_cfuncdom(A), k1_clvect_1(k8_cfuncdom(A), B, E), C) &  (k1_clvect_1(k8_cfuncdom(A), k1_algstr_0(k8_cfuncdom(A), B, C), E)=k1_algstr_0(k8_cfuncdom(A), k1_clvect_1(k8_cfuncdom(A), B, E), k1_clvect_1(k8_cfuncdom(A), C, E)) &  (k1_clvect_1(k8_cfuncdom(A), B, k2_xcmplx_0(E, F))=k1_algstr_0(k8_cfuncdom(A), k1_clvect_1(k8_cfuncdom(A), B, E), k1_clvect_1(k8_cfuncdom(A), B, F)) & k1_clvect_1(k8_cfuncdom(A), B, k3_xcmplx_0(E, F))=k1_clvect_1(k8_cfuncdom(A), k1_clvect_1(k8_cfuncdom(A), B, F), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_cfuncdom, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_cfuncdom(A))  =>  (v2_cfuncdom(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xcmplx_0(D) => k1_clvect_1(A, k6_algstr_0(A, B, C), D)=k6_algstr_0(A, k1_clvect_1(A, B, D), C)) ) ) ) ) ) ) ) ) ).
fof(t27_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k8_cfuncdom(A)))  &  (v13_algstr_0(k8_cfuncdom(A)) &  (v2_rlvect_1(k8_cfuncdom(A)) &  (v3_rlvect_1(k8_cfuncdom(A)) &  (v4_rlvect_1(k8_cfuncdom(A)) &  (v2_clvect_1(k8_cfuncdom(A)) &  (v3_clvect_1(k8_cfuncdom(A)) &  (v4_clvect_1(k8_cfuncdom(A)) &  (v1_vectsp_1(k8_cfuncdom(A)) &  (v3_vectsp_1(k8_cfuncdom(A)) &  (v3_group_1(k8_cfuncdom(A)) &  (v5_group_1(k8_cfuncdom(A)) &  (v2_cfuncdom(k8_cfuncdom(A)) & l1_cfuncdom(k8_cfuncdom(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k5_struct_0(k7_cfuncdom(A))=k5_cfuncdom(A)) ) ).
fof(t29_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k5_struct_0(k8_cfuncdom(A))=k5_cfuncdom(A)) ) ).
fof(dt_k1_cfuncdom, axiom,  (! [A] :  (v1_funct_1(k1_cfuncdom(A)) &  (v1_funct_2(k1_cfuncdom(A), k2_zfmisc_1(k9_funct_2(A, k2_numbers), k9_funct_2(A, k2_numbers)), k9_funct_2(A, k2_numbers)) & m1_subset_1(k1_cfuncdom(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, k2_numbers), k9_funct_2(A, k2_numbers)), k9_funct_2(A, k2_numbers))))) ) ) ).
fof(dt_k2_cfuncdom, axiom,  (! [A] :  (v1_funct_1(k2_cfuncdom(A)) &  (v1_funct_2(k2_cfuncdom(A), k2_zfmisc_1(k9_funct_2(A, k2_numbers), k9_funct_2(A, k2_numbers)), k9_funct_2(A, k2_numbers)) & m1_subset_1(k2_cfuncdom(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, k2_numbers), k9_funct_2(A, k2_numbers)), k9_funct_2(A, k2_numbers))))) ) ) ).
fof(dt_k3_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k3_cfuncdom(A)) &  (v1_funct_2(k3_cfuncdom(A), k2_zfmisc_1(k2_numbers, k9_funct_2(A, k2_numbers)), k9_funct_2(A, k2_numbers)) & m1_subset_1(k3_cfuncdom(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, k9_funct_2(A, k2_numbers)), k9_funct_2(A, k2_numbers))))) ) ) ) ).
fof(dt_k4_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => m2_funct_2(k4_cfuncdom(A), A, k2_numbers, k9_funct_2(A, k2_numbers))) ) ).
fof(dt_k5_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => m2_funct_2(k5_cfuncdom(A), A, k2_numbers, k9_funct_2(A, k2_numbers))) ) ).
fof(dt_k6_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k6_cfuncdom(A)))  &  (v1_clvect_1(k6_cfuncdom(A)) & l1_clvect_1(k6_cfuncdom(A))) ) ) ) ).
fof(dt_k7_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => l6_algstr_0(k7_cfuncdom(A))) ) ).
fof(abstractness_v1_cfuncdom, axiom,  (! [A] :  (l1_cfuncdom(A) =>  (v1_cfuncdom(A) => A=g1_cfuncdom(u1_struct_0(A), u2_algstr_0(A), u1_algstr_0(A), u1_clvect_1(A), u3_struct_0(A), u2_struct_0(A))) ) ) ).
fof(dt_l1_cfuncdom, axiom,  (! [A] :  (l1_cfuncdom(A) =>  (l6_algstr_0(A) & l1_clvect_1(A)) ) ) ).
fof(existence_l1_cfuncdom, axiom,  (? [A] : l1_cfuncdom(A)) ).
fof(dt_g1_cfuncdom, axiom,  (! [A, B, C, D, E, F] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k2_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, A), A)))) )  &  (m1_subset_1(E, A) & m1_subset_1(F, A)) ) ) )  =>  (v1_cfuncdom(g1_cfuncdom(A, B, C, D, E, F)) & l1_cfuncdom(g1_cfuncdom(A, B, C, D, E, F))) ) ) ).
fof(free_g1_cfuncdom, axiom,  (! [A, B, C, D, E, F] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k2_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, A), A)))) )  &  (m1_subset_1(E, A) & m1_subset_1(F, A)) ) ) )  =>  (! [G, H, I, J, K, L] :  (g1_cfuncdom(A, B, C, D, E, F)=g1_cfuncdom(G, H, I, J, K, L) =>  (A=G &  (B=H &  (C=I &  (D=J &  (E=K & F=L) ) ) ) ) ) ) ) ) ).
fof(dt_k8_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_cfuncdom(k8_cfuncdom(A)) & l1_cfuncdom(k8_cfuncdom(A))) ) ) ).
fof(ie1_cfunct_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_numbers, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, A)))) )  & v1_xcmplx_0(C)) )  => k7_partfun1(A, B, C)=k1_funct_1(B, C)) ) ).
fof(d1_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (D=k1_cfunct_1(A, B, C) <=>  (k1_relset_1(A, D)=k9_subset_1(A, k1_relset_1(A, B), k7_subset_1(A, k1_relset_1(A, C), k8_relset_1(A, k2_numbers, C, k1_tarski(k5_numbers)))) &  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, k1_relset_1(A, D)) => k7_partfun1(k2_numbers, D, E)=k3_xcmplx_0(k7_partfun1(k2_numbers, B, E), k5_xcmplx_0(k7_partfun1(k2_numbers, C, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (C=k2_cfunct_1(A, B) <=>  (k1_relset_1(A, C)=k7_subset_1(A, k1_relset_1(A, B), k8_relset_1(A, k2_numbers, B, k1_tarski(k5_numbers))) &  (! [D] :  (m1_subset_1(D, A) =>  (r2_tarski(D, k1_relset_1(A, C)) => k7_partfun1(k2_numbers, C, D)=k5_xcmplx_0(k7_partfun1(k2_numbers, B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (k1_relset_1(A, k2_valued_1(A, k2_numbers, k2_numbers, B, C))=k9_subset_1(A, k1_relset_1(A, B), k1_relset_1(A, C)) &  (! [D] :  (m1_subset_1(D, A) =>  (r2_tarski(D, k1_relset_1(A, k2_valued_1(A, k2_numbers, k2_numbers, B, C))) => k7_partfun1(k2_numbers, k2_valued_1(A, k2_numbers, k2_numbers, B, C), D)=k2_xcmplx_0(k7_partfun1(k2_numbers, B, D), k7_partfun1(k2_numbers, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t2_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (k1_relset_1(A, k46_valued_1(A, k2_numbers, k2_numbers, B, C))=k9_subset_1(A, k1_relset_1(A, B), k1_relset_1(A, C)) &  (! [D] :  (m1_subset_1(D, A) =>  (r2_tarski(D, k1_relset_1(A, k46_valued_1(A, k2_numbers, k2_numbers, B, C))) => k7_partfun1(k2_numbers, k46_valued_1(A, k2_numbers, k2_numbers, B, C), D)=k6_xcmplx_0(k7_partfun1(k2_numbers, B, D), k7_partfun1(k2_numbers, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t3_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (k1_relset_1(A, k19_valued_1(A, k2_numbers, k2_numbers, B, C))=k9_subset_1(A, k1_relset_1(A, B), k1_relset_1(A, C)) &  (! [D] :  (m1_subset_1(D, A) =>  (r2_tarski(D, k1_relset_1(A, k19_valued_1(A, k2_numbers, k2_numbers, B, C))) => k7_partfun1(k2_numbers, k19_valued_1(A, k2_numbers, k2_numbers, B, C), D)=k3_xcmplx_0(k7_partfun1(k2_numbers, B, D), k7_partfun1(k2_numbers, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t4_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  (v1_xcmplx_0(C) =>  (k1_relset_1(A, k25_valued_1(A, k2_numbers, B, C))=k1_relset_1(A, B) &  (! [D] :  (m1_subset_1(D, A) =>  (r2_tarski(D, k1_relset_1(A, k25_valued_1(A, k2_numbers, B, C))) => k7_partfun1(k2_numbers, k25_valued_1(A, k2_numbers, B, C), D)=k3_xcmplx_0(C, k7_partfun1(k2_numbers, B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t5_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (k1_relset_1(A, k31_valued_1(A, k2_numbers, B))=k1_relset_1(A, B) &  (! [C] :  (m1_subset_1(C, A) =>  (r2_tarski(C, k1_relset_1(A, k31_valued_1(A, k2_numbers, B))) => k7_partfun1(k2_numbers, k31_valued_1(A, k2_numbers, B), C)=k4_xcmplx_0(k7_partfun1(k2_numbers, B, C))) ) ) ) ) ) ) ) ).
fof(t6_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (r1_tarski(k1_relset_1(A, k2_cfunct_1(A, B)), k1_relset_1(A, B)) & k9_subset_1(A, k1_relset_1(A, B), k7_subset_1(A, k1_relset_1(A, B), k8_relset_1(A, k2_numbers, B, k1_tarski(k5_numbers))))=k7_subset_1(A, k1_relset_1(A, B), k8_relset_1(A, k2_numbers, B, k1_tarski(k5_numbers)))) ) ) ) ) ).
fof(t7_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  => k7_subset_1(A, k1_relset_1(A, k19_valued_1(A, k2_numbers, k2_numbers, B, C)), k8_relset_1(A, k2_numbers, k19_valued_1(A, k2_numbers, k2_numbers, B, C), k1_tarski(k5_numbers)))=k9_subset_1(A, k7_subset_1(A, k1_relset_1(A, B), k8_relset_1(A, k2_numbers, B, k1_tarski(k5_numbers))), k7_subset_1(A, k1_relset_1(A, C), k8_relset_1(A, k2_numbers, C, k1_tarski(k5_numbers))))) ) ) ) ) ) ).
fof(t8_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  ~ ( (r2_tarski(B, k1_relset_1(A, k2_cfunct_1(A, C))) & k7_partfun1(k2_numbers, C, B)=k5_numbers) ) ) ) ) ) ) ) ).
fof(t9_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  => k8_relset_1(A, k2_numbers, k2_cfunct_1(A, B), k1_tarski(k5_numbers))=k1_xboole_0) ) ) ) ).
fof(t10_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (k8_relset_1(A, k1_numbers, k55_valued_1(A, k2_numbers, B), k1_tarski(k5_numbers))=k8_relset_1(A, k2_numbers, B, k1_tarski(k5_numbers)) & k8_relset_1(A, k2_numbers, k31_valued_1(A, k2_numbers, B), k1_tarski(k5_numbers))=k8_relset_1(A, k2_numbers, B, k1_tarski(k5_numbers))) ) ) ) ) ).
fof(t11_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  => k1_relset_1(A, k2_cfunct_1(A, k2_cfunct_1(A, B)))=k1_relset_1(A, k2_partfun1(A, k2_numbers, B, k1_relset_1(A, k2_cfunct_1(A, B))))) ) ) ) ).
fof(t12_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  (v1_xcmplx_0(C) =>  ( ~ (C=k5_numbers)  => k8_relset_1(A, k2_numbers, k25_valued_1(A, k2_numbers, B, C), k1_tarski(k5_numbers))=k8_relset_1(A, k2_numbers, B, k1_tarski(k5_numbers))) ) ) ) ) ) ) ).
fof(t13_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  => r2_relset_1(A, k2_numbers, k2_valued_1(A, k2_numbers, k2_numbers, k2_valued_1(A, k2_numbers, k2_numbers, B, C), D), k2_valued_1(A, k2_numbers, k2_numbers, B, k2_valued_1(A, k2_numbers, k2_numbers, C, D)))) ) ) ) ) ) ) ) ).
fof(t14_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  => r2_relset_1(A, k2_numbers, k19_valued_1(A, k2_numbers, k2_numbers, k19_valued_1(A, k2_numbers, k2_numbers, B, C), D), k19_valued_1(A, k2_numbers, k2_numbers, B, k19_valued_1(A, k2_numbers, k2_numbers, C, D)))) ) ) ) ) ) ) ) ).
fof(t15_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  => r2_relset_1(A, k2_numbers, k19_valued_1(A, k2_numbers, k2_numbers, k2_valued_1(A, k2_numbers, k2_numbers, B, C), D), k2_valued_1(A, k2_numbers, k2_numbers, k19_valued_1(A, k2_numbers, k2_numbers, B, D), k19_valued_1(A, k2_numbers, k2_numbers, C, D)))) ) ) ) ) ) ) ) ).
fof(t16_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  => r2_relset_1(A, k2_numbers, k19_valued_1(A, k2_numbers, k2_numbers, D, k2_valued_1(A, k2_numbers, k2_numbers, B, C)), k2_valued_1(A, k2_numbers, k2_numbers, k19_valued_1(A, k2_numbers, k2_numbers, D, B), k19_valued_1(A, k2_numbers, k2_numbers, D, C)))) ) ) ) ) ) ) ) ).
fof(t17_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  (v1_xcmplx_0(D) => r2_relset_1(A, k2_numbers, k25_valued_1(A, k2_numbers, k19_valued_1(A, k2_numbers, k2_numbers, B, C), D), k19_valued_1(A, k2_numbers, k2_numbers, k25_valued_1(A, k2_numbers, B, D), C))) ) ) ) ) ) ) ) ).
fof(t18_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  (v1_xcmplx_0(D) => r2_relset_1(A, k2_numbers, k25_valued_1(A, k2_numbers, k19_valued_1(A, k2_numbers, k2_numbers, B, C), D), k19_valued_1(A, k2_numbers, k2_numbers, B, k25_valued_1(A, k2_numbers, C, D)))) ) ) ) ) ) ) ) ).
fof(t19_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  => r2_relset_1(A, k2_numbers, k19_valued_1(A, k2_numbers, k2_numbers, k46_valued_1(A, k2_numbers, k2_numbers, B, C), D), k46_valued_1(A, k2_numbers, k2_numbers, k19_valued_1(A, k2_numbers, k2_numbers, B, D), k19_valued_1(A, k2_numbers, k2_numbers, C, D)))) ) ) ) ) ) ) ) ).
fof(t20_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  => r2_relset_1(A, k2_numbers, k46_valued_1(A, k2_numbers, k2_numbers, k19_valued_1(A, k2_numbers, k2_numbers, D, B), k19_valued_1(A, k2_numbers, k2_numbers, D, C)), k19_valued_1(A, k2_numbers, k2_numbers, D, k46_valued_1(A, k2_numbers, k2_numbers, B, C)))) ) ) ) ) ) ) ) ).
fof(t21_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  (v1_xcmplx_0(D) => r2_relset_1(A, k2_numbers, k25_valued_1(A, k2_numbers, k2_valued_1(A, k2_numbers, k2_numbers, B, C), D), k2_valued_1(A, k2_numbers, k2_numbers, k25_valued_1(A, k2_numbers, B, D), k25_valued_1(A, k2_numbers, C, D)))) ) ) ) ) ) ) ) ).
fof(t22_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) => r2_relset_1(A, k2_numbers, k25_valued_1(A, k2_numbers, B, k3_xcmplx_0(C, D)), k25_valued_1(A, k2_numbers, k25_valued_1(A, k2_numbers, B, D), C))) ) ) ) ) ) ) ) ).
fof(t23_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  (v1_xcmplx_0(D) => r2_relset_1(A, k2_numbers, k25_valued_1(A, k2_numbers, k46_valued_1(A, k2_numbers, k2_numbers, B, C), D), k46_valued_1(A, k2_numbers, k2_numbers, k25_valued_1(A, k2_numbers, B, D), k25_valued_1(A, k2_numbers, C, D)))) ) ) ) ) ) ) ) ).
fof(t24_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  => r2_relset_1(A, k2_numbers, k46_valued_1(A, k2_numbers, k2_numbers, B, C), k25_valued_1(A, k2_numbers, k46_valued_1(A, k2_numbers, k2_numbers, C, B), k4_xcmplx_0(k6_complex1)))) ) ) ) ) ) ).
fof(t25_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  => r2_relset_1(A, k2_numbers, k46_valued_1(A, k2_numbers, k2_numbers, B, k2_valued_1(A, k2_numbers, k2_numbers, C, D)), k46_valued_1(A, k2_numbers, k2_numbers, k46_valued_1(A, k2_numbers, k2_numbers, B, C), D))) ) ) ) ) ) ) ) ).
fof(t26_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  => r2_relset_1(A, k2_numbers, k25_valued_1(A, k2_numbers, B, k6_complex1), B)) ) ) ) ).
fof(t27_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  => r2_relset_1(A, k2_numbers, k46_valued_1(A, k2_numbers, k2_numbers, B, k46_valued_1(A, k2_numbers, k2_numbers, C, D)), k2_valued_1(A, k2_numbers, k2_numbers, k46_valued_1(A, k2_numbers, k2_numbers, B, C), D))) ) ) ) ) ) ) ) ).
fof(t28_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  => r2_relset_1(A, k2_numbers, k2_valued_1(A, k2_numbers, k2_numbers, B, k46_valued_1(A, k2_numbers, k2_numbers, C, D)), k46_valued_1(A, k2_numbers, k2_numbers, k2_valued_1(A, k2_numbers, k2_numbers, B, C), D))) ) ) ) ) ) ) ) ).
fof(t29_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  => r2_relset_1(A, k1_numbers, k55_valued_1(A, k2_numbers, k19_valued_1(A, k2_numbers, k2_numbers, B, C)), k20_valued_1(A, k1_numbers, k1_numbers, k55_valued_1(A, k2_numbers, B), k55_valued_1(A, k2_numbers, C)))) ) ) ) ) ) ).
fof(t30_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  (v1_xcmplx_0(C) => r2_relset_1(A, k1_numbers, k55_valued_1(A, k2_numbers, k25_valued_1(A, k2_numbers, B, C)), k26_valued_1(A, k1_numbers, k55_valued_1(A, k2_numbers, B), k9_complex1(C)))) ) ) ) ) ) ).
fof(t31_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  => r2_relset_1(A, k2_numbers, k31_valued_1(A, k2_numbers, B), k25_valued_1(A, k2_numbers, B, k4_xcmplx_0(k6_complex1)))) ) ) ) ).
fof(t33_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  => r2_relset_1(A, k2_numbers, k46_valued_1(A, k2_numbers, k2_numbers, B, k31_valued_1(A, k2_numbers, C)), k2_valued_1(A, k2_numbers, k2_numbers, B, C))) ) ) ) ) ) ).
fof(t34_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  => r2_relset_1(A, k2_numbers, k2_cfunct_1(A, k2_cfunct_1(A, B)), k2_partfun1(A, k2_numbers, B, k1_relset_1(A, k2_cfunct_1(A, B))))) ) ) ) ).
fof(t35_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  => r2_relset_1(A, k2_numbers, k2_cfunct_1(A, k19_valued_1(A, k2_numbers, k2_numbers, B, C)), k19_valued_1(A, k2_numbers, k2_numbers, k2_cfunct_1(A, B), k2_cfunct_1(A, C)))) ) ) ) ) ) ).
fof(t36_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  (v1_xcmplx_0(C) =>  ( ~ (C=k5_numbers)  => r2_relset_1(A, k2_numbers, k2_cfunct_1(A, k25_valued_1(A, k2_numbers, B, C)), k25_valued_1(A, k2_numbers, k2_cfunct_1(A, B), k5_xcmplx_0(C)))) ) ) ) ) ) ) ).
fof(t37_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  => r2_relset_1(A, k2_numbers, k2_cfunct_1(A, k31_valued_1(A, k2_numbers, B)), k25_valued_1(A, k2_numbers, k2_cfunct_1(A, B), k4_xcmplx_0(k6_complex1)))) ) ) ) ).
fof(t38_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  => r2_relset_1(A, k1_numbers, k6_rfunct_1(A, k1_numbers, k55_valued_1(A, k2_numbers, B)), k55_valued_1(A, k2_numbers, k2_cfunct_1(A, B)))) ) ) ) ).
fof(t39_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  => r2_relset_1(A, k2_numbers, k1_cfunct_1(A, B, C), k19_valued_1(A, k2_numbers, k2_numbers, B, k2_cfunct_1(A, C)))) ) ) ) ) ) ).
fof(t40_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  (v1_xcmplx_0(D) => r2_relset_1(A, k2_numbers, k25_valued_1(A, k2_numbers, k1_cfunct_1(A, C, B), D), k1_cfunct_1(A, k25_valued_1(A, k2_numbers, C, D), B))) ) ) ) ) ) ) ) ).
fof(t41_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  => r2_relset_1(A, k2_numbers, k19_valued_1(A, k2_numbers, k2_numbers, k1_cfunct_1(A, B, C), C), k2_partfun1(A, k2_numbers, B, k1_relset_1(A, k2_cfunct_1(A, C))))) ) ) ) ) ) ).
fof(t42_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  => r2_relset_1(A, k2_numbers, k19_valued_1(A, k2_numbers, k2_numbers, k1_cfunct_1(A, B, D), k1_cfunct_1(A, C, E)), k1_cfunct_1(A, k19_valued_1(A, k2_numbers, k2_numbers, B, C), k19_valued_1(A, k2_numbers, k2_numbers, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t43_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  => r2_relset_1(A, k2_numbers, k2_cfunct_1(A, k1_cfunct_1(A, B, C)), k1_cfunct_1(A, k2_partfun1(A, k2_numbers, C, k1_relset_1(A, k2_cfunct_1(A, C))), B))) ) ) ) ) ) ).
fof(t44_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  => r2_relset_1(A, k2_numbers, k19_valued_1(A, k2_numbers, k2_numbers, D, k1_cfunct_1(A, B, C)), k1_cfunct_1(A, k19_valued_1(A, k2_numbers, k2_numbers, D, B), C))) ) ) ) ) ) ) ) ).
fof(t45_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  => r2_relset_1(A, k2_numbers, k1_cfunct_1(A, D, k1_cfunct_1(A, B, C)), k1_cfunct_1(A, k19_valued_1(A, k2_numbers, k2_numbers, D, k2_partfun1(A, k2_numbers, C, k1_relset_1(A, k2_cfunct_1(A, C)))), B))) ) ) ) ) ) ) ) ).
fof(t46_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (r2_relset_1(A, k2_numbers, k31_valued_1(A, k2_numbers, k1_cfunct_1(A, B, C)), k1_cfunct_1(A, k31_valued_1(A, k2_numbers, B), C)) & r2_relset_1(A, k2_numbers, k1_cfunct_1(A, B, k31_valued_1(A, k2_numbers, C)), k31_valued_1(A, k2_numbers, k1_cfunct_1(A, B, C)))) ) ) ) ) ) ) ).
fof(t47_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (r2_relset_1(A, k2_numbers, k2_valued_1(A, k2_numbers, k2_numbers, k1_cfunct_1(A, C, B), k1_cfunct_1(A, D, B)), k1_cfunct_1(A, k2_valued_1(A, k2_numbers, k2_numbers, C, D), B)) & r2_relset_1(A, k2_numbers, k46_valued_1(A, k2_numbers, k2_numbers, k1_cfunct_1(A, C, B), k1_cfunct_1(A, D, B)), k1_cfunct_1(A, k46_valued_1(A, k2_numbers, k2_numbers, C, D), B))) ) ) ) ) ) ) ) ) ).
fof(t48_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  => r2_relset_1(A, k2_numbers, k2_valued_1(A, k2_numbers, k2_numbers, k1_cfunct_1(A, C, B), k1_cfunct_1(A, E, D)), k1_cfunct_1(A, k2_valued_1(A, k2_numbers, k2_numbers, k19_valued_1(A, k2_numbers, k2_numbers, C, D), k19_valued_1(A, k2_numbers, k2_numbers, E, B)), k19_valued_1(A, k2_numbers, k2_numbers, B, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t49_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  => r2_relset_1(A, k2_numbers, k1_cfunct_1(A, k1_cfunct_1(A, B, D), k1_cfunct_1(A, C, E)), k1_cfunct_1(A, k19_valued_1(A, k2_numbers, k2_numbers, B, k2_partfun1(A, k2_numbers, E, k1_relset_1(A, k2_cfunct_1(A, E)))), k19_valued_1(A, k2_numbers, k2_numbers, D, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t50_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  => r2_relset_1(A, k2_numbers, k46_valued_1(A, k2_numbers, k2_numbers, k1_cfunct_1(A, C, B), k1_cfunct_1(A, E, D)), k1_cfunct_1(A, k46_valued_1(A, k2_numbers, k2_numbers, k19_valued_1(A, k2_numbers, k2_numbers, C, D), k19_valued_1(A, k2_numbers, k2_numbers, E, B)), k19_valued_1(A, k2_numbers, k2_numbers, B, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t51_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  => r2_relset_1(A, k1_numbers, k55_valued_1(A, k2_numbers, k1_cfunct_1(A, B, C)), k3_rfunct_1(A, k1_numbers, k55_valued_1(A, k2_numbers, B), k55_valued_1(A, k2_numbers, C)))) ) ) ) ) ) ).
fof(t52_cfunct_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k2_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k2_numbers))))  =>  (r2_relset_1(B, k2_numbers, k2_partfun1(B, k2_numbers, k2_valued_1(B, k2_numbers, k2_numbers, C, D), A), k2_valued_1(B, k2_numbers, k2_numbers, k2_partfun1(B, k2_numbers, C, A), k2_partfun1(B, k2_numbers, D, A))) &  (r2_relset_1(B, k2_numbers, k2_partfun1(B, k2_numbers, k2_valued_1(B, k2_numbers, k2_numbers, C, D), A), k2_valued_1(B, k2_numbers, k2_numbers, k2_partfun1(B, k2_numbers, C, A), D)) & r2_relset_1(B, k2_numbers, k2_partfun1(B, k2_numbers, k2_valued_1(B, k2_numbers, k2_numbers, C, D), A), k2_valued_1(B, k2_numbers, k2_numbers, C, k2_partfun1(B, k2_numbers, D, A)))) ) ) ) ) ) ) ) ) ).
fof(t53_cfunct_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k2_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k2_numbers))))  =>  (r2_relset_1(B, k2_numbers, k2_partfun1(B, k2_numbers, k19_valued_1(B, k2_numbers, k2_numbers, C, D), A), k19_valued_1(B, k2_numbers, k2_numbers, k2_partfun1(B, k2_numbers, C, A), k2_partfun1(B, k2_numbers, D, A))) &  (r2_relset_1(B, k2_numbers, k2_partfun1(B, k2_numbers, k19_valued_1(B, k2_numbers, k2_numbers, C, D), A), k19_valued_1(B, k2_numbers, k2_numbers, k2_partfun1(B, k2_numbers, C, A), D)) & r2_relset_1(B, k2_numbers, k2_partfun1(B, k2_numbers, k19_valued_1(B, k2_numbers, k2_numbers, C, D), A), k19_valued_1(B, k2_numbers, k2_numbers, C, k2_partfun1(B, k2_numbers, D, A)))) ) ) ) ) ) ) ) ) ).
fof(t54_cfunct_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k2_numbers))))  =>  (r2_relset_1(B, k2_numbers, k2_partfun1(B, k2_numbers, k31_valued_1(B, k2_numbers, C), A), k31_valued_1(B, k2_numbers, k2_partfun1(B, k2_numbers, C, A))) &  (r2_relset_1(B, k2_numbers, k2_partfun1(B, k2_numbers, k2_cfunct_1(B, C), A), k2_cfunct_1(B, k2_partfun1(B, k2_numbers, C, A))) & r2_relset_1(B, k1_numbers, k2_partfun1(B, k1_numbers, k55_valued_1(B, k2_numbers, C), A), k55_valued_1(B, k2_numbers, k2_partfun1(B, k2_numbers, C, A)))) ) ) ) ) ) ) ).
fof(t55_cfunct_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k2_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k2_numbers))))  =>  (r2_relset_1(B, k2_numbers, k2_partfun1(B, k2_numbers, k46_valued_1(B, k2_numbers, k2_numbers, C, D), A), k46_valued_1(B, k2_numbers, k2_numbers, k2_partfun1(B, k2_numbers, C, A), k2_partfun1(B, k2_numbers, D, A))) &  (r2_relset_1(B, k2_numbers, k2_partfun1(B, k2_numbers, k46_valued_1(B, k2_numbers, k2_numbers, C, D), A), k46_valued_1(B, k2_numbers, k2_numbers, k2_partfun1(B, k2_numbers, C, A), D)) & r2_relset_1(B, k2_numbers, k2_partfun1(B, k2_numbers, k46_valued_1(B, k2_numbers, k2_numbers, C, D), A), k46_valued_1(B, k2_numbers, k2_numbers, C, k2_partfun1(B, k2_numbers, D, A)))) ) ) ) ) ) ) ) ) ).
fof(t56_cfunct_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k2_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k2_numbers))))  =>  (r2_relset_1(B, k2_numbers, k2_partfun1(B, k2_numbers, k1_cfunct_1(B, C, D), A), k1_cfunct_1(B, k2_partfun1(B, k2_numbers, C, A), k2_partfun1(B, k2_numbers, D, A))) &  (r2_relset_1(B, k2_numbers, k2_partfun1(B, k2_numbers, k1_cfunct_1(B, C, D), A), k1_cfunct_1(B, k2_partfun1(B, k2_numbers, C, A), D)) & r2_relset_1(B, k2_numbers, k2_partfun1(B, k2_numbers, k1_cfunct_1(B, C, D), A), k1_cfunct_1(B, C, k2_partfun1(B, k2_numbers, D, A)))) ) ) ) ) ) ) ) ) ).
fof(t57_cfunct_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k2_numbers))))  =>  (! [D] :  (v1_xcmplx_0(D) => r2_relset_1(B, k2_numbers, k2_partfun1(B, k2_numbers, k25_valued_1(B, k2_numbers, C, D), A), k25_valued_1(B, k2_numbers, k2_partfun1(B, k2_numbers, C, A), D))) ) ) ) ) ) ) ).
fof(t58_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  ( ( (v1_partfun1(B, A) & v1_partfun1(C, A))  => v1_partfun1(k2_valued_1(A, k2_numbers, k2_numbers, B, C), A))  &  ( (v1_partfun1(k2_valued_1(A, k2_numbers, k2_numbers, B, C), A) =>  (v1_partfun1(B, A) & v1_partfun1(C, A)) )  &  ( ( (v1_partfun1(B, A) & v1_partfun1(C, A))  => v1_partfun1(k46_valued_1(A, k2_numbers, k2_numbers, B, C), A))  &  ( (v1_partfun1(k46_valued_1(A, k2_numbers, k2_numbers, B, C), A) =>  (v1_partfun1(B, A) & v1_partfun1(C, A)) )  &  ( ( (v1_partfun1(B, A) & v1_partfun1(C, A))  => v1_partfun1(k19_valued_1(A, k2_numbers, k2_numbers, B, C), A))  &  (v1_partfun1(k19_valued_1(A, k2_numbers, k2_numbers, B, C), A) =>  (v1_partfun1(B, A) & v1_partfun1(C, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  (v1_xcmplx_0(C) =>  (v1_partfun1(B, A) <=> v1_partfun1(k25_valued_1(A, k2_numbers, B, C), A)) ) ) ) ) ) ) ).
fof(t60_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (v1_partfun1(B, A) <=> v1_partfun1(k31_valued_1(A, k2_numbers, B), A)) ) ) ) ) ).
fof(t61_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (v1_partfun1(B, A) <=> v1_partfun1(k55_valued_1(A, k2_numbers, B), A)) ) ) ) ) ).
fof(t62_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (v1_partfun1(k2_cfunct_1(A, B), A) <=>  (k8_relset_1(A, k2_numbers, B, k1_tarski(k5_numbers))=k1_xboole_0 & v1_partfun1(B, A)) ) ) ) ) ) ).
fof(t63_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  ( (v1_partfun1(B, A) &  (k8_relset_1(A, k2_numbers, C, k1_tarski(k5_numbers))=k1_xboole_0 & v1_partfun1(C, A)) )  <=> v1_partfun1(k1_cfunct_1(A, B, C), A)) ) ) ) ) ) ) ).
fof(t64_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  ( (v1_partfun1(C, A) & v1_partfun1(D, A))  =>  (k7_partfun1(k2_numbers, k2_valued_1(A, k2_numbers, k2_numbers, C, D), B)=k2_xcmplx_0(k7_partfun1(k2_numbers, C, B), k7_partfun1(k2_numbers, D, B)) &  (k7_partfun1(k2_numbers, k46_valued_1(A, k2_numbers, k2_numbers, C, D), B)=k6_xcmplx_0(k7_partfun1(k2_numbers, C, B), k7_partfun1(k2_numbers, D, B)) & k7_partfun1(k2_numbers, k19_valued_1(A, k2_numbers, k2_numbers, C, D), B)=k3_xcmplx_0(k7_partfun1(k2_numbers, C, B), k7_partfun1(k2_numbers, D, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  (v1_xcmplx_0(D) =>  (v1_partfun1(C, A) => k7_partfun1(k2_numbers, k25_valued_1(A, k2_numbers, C, D), B)=k3_xcmplx_0(D, k7_partfun1(k2_numbers, C, B))) ) ) ) ) ) ) ) ) ).
fof(t66_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (v1_partfun1(C, A) =>  (k7_partfun1(k2_numbers, k31_valued_1(A, k2_numbers, C), B)=k4_xcmplx_0(k7_partfun1(k2_numbers, C, B)) & k1_funct_1(k55_valued_1(A, k2_numbers, C), B)=k9_complex1(k7_partfun1(k2_numbers, C, B))) ) ) ) ) ) ) ) ).
fof(t67_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (v1_partfun1(k2_cfunct_1(A, C), A) => k7_partfun1(k2_numbers, k2_cfunct_1(A, C), B)=k5_xcmplx_0(k7_partfun1(k2_numbers, C, B))) ) ) ) ) ) ) ).
fof(t68_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  ( (v1_partfun1(C, A) & v1_partfun1(k2_cfunct_1(A, D), A))  => k7_partfun1(k2_numbers, k1_cfunct_1(A, C, D), B)=k3_xcmplx_0(k7_partfun1(k2_numbers, C, B), k5_xcmplx_0(k7_partfun1(k2_numbers, D, B)))) ) ) ) ) ) ) ) ) ).
fof(t69_cfunct_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k2_numbers))))  =>  (v1_comseq_2(k2_partfun1(B, k2_numbers, C, A)) <=>  (? [D] :  (v1_xreal_0(D) &  (! [E] :  (m1_subset_1(E, B) =>  (r2_tarski(E, k9_subset_1(B, A, k1_relset_1(B, C))) => r1_xxreal_0(k9_complex1(k7_partfun1(k2_numbers, C, E)), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_cfunct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k2_numbers))))  =>  ( (r1_tarski(B, A) & v1_comseq_2(k2_partfun1(C, k2_numbers, D, A)))  => v1_comseq_2(k2_partfun1(C, k2_numbers, D, B))) ) ) ) ) ) ) ).
fof(t71_cfunct_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k2_numbers))))  =>  (r1_xboole_0(A, k1_relset_1(B, C)) => v1_comseq_2(k2_partfun1(B, k2_numbers, C, A))) ) ) ) ) ) ).
fof(t72_cfunct_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k2_numbers))))  =>  (! [D] :  (v1_xcmplx_0(D) =>  (v1_comseq_2(k2_partfun1(B, k2_numbers, C, A)) => v1_comseq_2(k2_partfun1(B, k2_numbers, k25_valued_1(B, k2_numbers, C, D), A))) ) ) ) ) ) ) ) ).
fof(t73_cfunct_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k2_numbers))))  => v2_seq_2(k2_partfun1(B, k1_numbers, k55_valued_1(B, k2_numbers, C), A))) ) ) ) ) ).
fof(t74_cfunct_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k2_numbers))))  =>  (v1_comseq_2(k2_partfun1(B, k2_numbers, C, A)) =>  (v1_comseq_2(k2_partfun1(B, k1_numbers, k55_valued_1(B, k2_numbers, C), A)) & v1_comseq_2(k2_partfun1(B, k2_numbers, k31_valued_1(B, k2_numbers, C), A))) ) ) ) ) ) ) ).
fof(t75_cfunct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k2_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k2_numbers))))  =>  ( (v1_comseq_2(k2_partfun1(C, k2_numbers, D, A)) & v1_comseq_2(k2_partfun1(C, k2_numbers, E, B)))  => v1_comseq_2(k2_partfun1(C, k2_numbers, k2_valued_1(C, k2_numbers, k2_numbers, D, E), k3_xboole_0(A, B)))) ) ) ) ) ) ) ) ) ).
fof(t76_cfunct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k2_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k2_numbers))))  =>  ( (v1_comseq_2(k2_partfun1(C, k2_numbers, D, A)) & v1_comseq_2(k2_partfun1(C, k2_numbers, E, B)))  =>  (v1_comseq_2(k2_partfun1(C, k2_numbers, k19_valued_1(C, k2_numbers, k2_numbers, D, E), k3_xboole_0(A, B))) & v1_comseq_2(k2_partfun1(C, k2_numbers, k46_valued_1(C, k2_numbers, k2_numbers, D, E), k3_xboole_0(A, B)))) ) ) ) ) ) ) ) ) ) ).
fof(t77_cfunct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k2_numbers))))  =>  ( (v1_comseq_2(k2_partfun1(C, k2_numbers, D, A)) & v1_comseq_2(k2_partfun1(C, k2_numbers, D, B)))  => v1_comseq_2(k2_partfun1(C, k2_numbers, D, k2_xboole_0(A, B)))) ) ) ) ) ) ) ).
fof(t78_cfunct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k2_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k2_numbers))))  =>  ( (v3_funct_1(k2_partfun1(C, k2_numbers, D, A)) & v3_funct_1(k2_partfun1(C, k2_numbers, E, B)))  =>  (v3_funct_1(k2_partfun1(C, k2_numbers, k2_valued_1(C, k2_numbers, k2_numbers, D, E), k3_xboole_0(A, B))) &  (v3_funct_1(k2_partfun1(C, k2_numbers, k46_valued_1(C, k2_numbers, k2_numbers, D, E), k3_xboole_0(A, B))) & v3_funct_1(k2_partfun1(C, k2_numbers, k19_valued_1(C, k2_numbers, k2_numbers, D, E), k3_xboole_0(A, B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t79_cfunct_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k2_numbers))))  =>  (! [D] :  (v1_xcmplx_0(D) =>  (v3_funct_1(k2_partfun1(B, k2_numbers, C, A)) => v3_funct_1(k2_partfun1(B, k2_numbers, k25_valued_1(B, k2_numbers, C, D), A))) ) ) ) ) ) ) ) ).
fof(t80_cfunct_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k2_numbers))))  =>  (v3_funct_1(k2_partfun1(B, k2_numbers, C, A)) =>  (v3_funct_1(k2_partfun1(B, k1_numbers, k55_valued_1(B, k2_numbers, C), A)) & v3_funct_1(k2_partfun1(B, k2_numbers, k31_valued_1(B, k2_numbers, C), A))) ) ) ) ) ) ) ).
fof(t81_cfunct_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k2_numbers))))  =>  (v3_funct_1(k2_partfun1(B, k2_numbers, C, A)) => v1_comseq_2(k2_partfun1(B, k2_numbers, C, A))) ) ) ) ) ) ).
fof(t82_cfunct_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k2_numbers))))  =>  (v3_funct_1(k2_partfun1(B, k2_numbers, C, A)) =>  ( (! [D] :  (v1_xcmplx_0(D) => v1_comseq_2(k2_partfun1(B, k2_numbers, k25_valued_1(B, k2_numbers, C, D), A))) )  &  (v1_comseq_2(k2_partfun1(B, k2_numbers, k31_valued_1(B, k2_numbers, C), A)) & v1_comseq_2(k2_partfun1(B, k1_numbers, k55_valued_1(B, k2_numbers, C), A))) ) ) ) ) ) ) ) ).
fof(t83_cfunct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k2_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k2_numbers))))  =>  ( (v1_comseq_2(k2_partfun1(C, k2_numbers, D, A)) & v3_funct_1(k2_partfun1(C, k2_numbers, E, B)))  => v1_comseq_2(k2_partfun1(C, k2_numbers, k2_valued_1(C, k2_numbers, k2_numbers, D, E), k3_xboole_0(A, B)))) ) ) ) ) ) ) ) ) ).
fof(t84_cfunct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k2_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k2_numbers))))  =>  ( (v1_comseq_2(k2_partfun1(C, k2_numbers, D, A)) & v3_funct_1(k2_partfun1(C, k2_numbers, E, B)))  =>  (v1_comseq_2(k2_partfun1(C, k2_numbers, k46_valued_1(C, k2_numbers, k2_numbers, D, E), k3_xboole_0(A, B))) &  (v1_comseq_2(k2_partfun1(C, k2_numbers, k46_valued_1(C, k2_numbers, k2_numbers, E, D), k3_xboole_0(A, B))) & v1_comseq_2(k2_partfun1(C, k2_numbers, k19_valued_1(C, k2_numbers, k2_numbers, D, E), k3_xboole_0(A, B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t85_cfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (v1_comseq_2(k55_valued_1(A, k2_numbers, B)) <=> v1_comseq_2(B)) ) ) ) ) ).
fof(dt_k1_cfunct_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) ) )  =>  (v1_funct_1(k1_cfunct_1(A, B, C)) & m1_subset_1(k1_cfunct_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) ) ) ).
fof(dt_k2_cfunct_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (v1_funct_1(k2_cfunct_1(A, B)) & m1_subset_1(k2_cfunct_1(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) ) ) ).
fof(rc1_cgames_1, axiom,  (? [A] :  (l1_cgames_1(A) & v1_cgames_1(A)) ) ).
fof(rc2_cgames_1, axiom,  (? [A] :  (l1_cgames_1(A) & v1_cgames_1(A)) ) ).
fof(fc1_cgames_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  ~ (v1_xboole_0(k2_cgames_1(A))) ) ) ).
fof(cc1_cgames_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k2_cgames_1(A)) => v2_cgames_1(B)) ) ) ) ).
fof(fc2_cgames_1, axiom, v2_cgames_1(k1_cgames_1)).
fof(rc3_cgames_1, axiom,  (? [A] :  (l1_cgames_1(A) &  (v1_cgames_1(A) & v2_cgames_1(A)) ) ) ).
fof(rc4_cgames_1, axiom,  (? [A] : v2_cgames_1(A)) ).
fof(cc2_cgames_1, axiom,  (! [A] :  (l1_cgames_1(A) =>  (v2_cgames_1(A) => v1_cgames_1(A)) ) ) ).
fof(fc3_cgames_1, axiom, v1_xboole_0(k6_cgames_1(k3_cgames_1))).
fof(fc4_cgames_1, axiom, v1_xboole_0(k7_cgames_1(k3_cgames_1))).
fof(fc5_cgames_1, axiom, v1_xboole_0(k7_cgames_1(k4_cgames_1))).
fof(fc6_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) => v3_cgames_1(k5_finseq_1(A))) ) ).
fof(rc5_cgames_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) & v3_cgames_1(A)) ) ) ) ) ) ) ) ).
fof(cc3_cgames_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k4_finseq_1(A)) =>  (v7_ordinal1(B) &  ~ (v1_xboole_0(B)) ) ) ) ) ) ).
fof(fc7_cgames_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v3_cgames_1(A)) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  => v2_cgames_1(k1_funct_1(A, B))) ) ).
fof(fc8_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) => v4_cgames_1(k5_finseq_1(A))) ) ).
fof(rc6_cgames_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v3_cgames_1(A) & v4_cgames_1(A)) ) ) ) ) ) ) ) ) ).
fof(fc9_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  ~ (v1_xboole_0(k10_cgames_1(A))) ) ) ).
fof(cc4_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  (! [B] :  (m1_subset_1(B, k10_cgames_1(A)) => v2_cgames_1(B)) ) ) ) ).
fof(fc10_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) => v2_cgames_1(k13_cgames_1(A))) ) ).
fof(cc5_cgames_1, axiom,  (! [A] :  ( (v2_cgames_1(A) & v7_cgames_1(A))  =>  (v2_cgames_1(A) &  (v5_cgames_1(A) & v6_cgames_1(A)) ) ) ) ).
fof(cc6_cgames_1, axiom,  (! [A] :  ( (v2_cgames_1(A) &  (v5_cgames_1(A) & v6_cgames_1(A)) )  =>  (v2_cgames_1(A) & v7_cgames_1(A)) ) ) ).
fof(cc7_cgames_1, axiom,  (! [A] :  ( (v2_cgames_1(A) & v10_cgames_1(A))  =>  (v2_cgames_1(A) &  (v6_cgames_1(A) &  ~ (v7_cgames_1(A)) ) ) ) ) ).
fof(cc8_cgames_1, axiom,  (! [A] :  ( (v2_cgames_1(A) &  (v6_cgames_1(A) &  ~ (v7_cgames_1(A)) ) )  =>  (v2_cgames_1(A) & v10_cgames_1(A)) ) ) ).
fof(cc9_cgames_1, axiom,  (! [A] :  ( (v2_cgames_1(A) & v9_cgames_1(A))  =>  (v2_cgames_1(A) &  (v5_cgames_1(A) &  ~ (v7_cgames_1(A)) ) ) ) ) ).
fof(cc10_cgames_1, axiom,  (! [A] :  ( (v2_cgames_1(A) &  (v5_cgames_1(A) &  ~ (v7_cgames_1(A)) ) )  =>  (v2_cgames_1(A) & v9_cgames_1(A)) ) ) ).
fof(cc11_cgames_1, axiom,  (! [A] :  ( (v2_cgames_1(A) & v8_cgames_1(A))  =>  (v2_cgames_1(A) &  ( ~ (v5_cgames_1(A))  &  ~ (v6_cgames_1(A)) ) ) ) ) ).
fof(cc12_cgames_1, axiom,  (! [A] :  ( (v2_cgames_1(A) &  ( ~ (v5_cgames_1(A))  &  ~ (v6_cgames_1(A)) ) )  =>  (v2_cgames_1(A) & v8_cgames_1(A)) ) ) ).
fof(fc11_cgames_1, axiom, v7_cgames_1(k1_cgames_1)).
fof(fc12_cgames_1, axiom, v9_cgames_1(k4_cgames_1)).
fof(fc13_cgames_1, axiom, v8_cgames_1(k5_cgames_1)).
fof(rc7_cgames_1, axiom,  (? [A] :  (v2_cgames_1(A) & v7_cgames_1(A)) ) ).
fof(rc8_cgames_1, axiom,  (? [A] :  (v2_cgames_1(A) & v9_cgames_1(A)) ) ).
fof(rc9_cgames_1, axiom,  (? [A] :  (v2_cgames_1(A) & v8_cgames_1(A)) ) ).
fof(fc14_cgames_1, axiom,  (! [A] :  ( (v2_cgames_1(A) & v6_cgames_1(A))  => v5_cgames_1(k13_cgames_1(A))) ) ).
fof(fc15_cgames_1, axiom,  (! [A] :  ( (v2_cgames_1(A) & v5_cgames_1(A))  => v6_cgames_1(k13_cgames_1(A))) ) ).
fof(fc16_cgames_1, axiom,  (! [A] :  ( (v2_cgames_1(A) & v9_cgames_1(A))  => v10_cgames_1(k13_cgames_1(A))) ) ).
fof(rc10_cgames_1, axiom,  (? [A] :  (v2_cgames_1(A) & v10_cgames_1(A)) ) ).
fof(fc17_cgames_1, axiom,  (! [A] :  ( (v2_cgames_1(A) & v10_cgames_1(A))  => v9_cgames_1(k13_cgames_1(A))) ) ).
fof(fc18_cgames_1, axiom,  (! [A] :  ( (v2_cgames_1(A) & v8_cgames_1(A))  => v8_cgames_1(k13_cgames_1(A))) ) ).
fof(d1_cgames_1, axiom, k1_cgames_1=g1_cgames_1(k1_xboole_0, k1_xboole_0)).
fof(t1_cgames_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (r2_hidden(B, k2_cgames_1(A)) <=>  (? [C] :  ( (v1_cgames_1(C) & l1_cgames_1(C))  &  (B=C &  (! [D] :  ~ ( (r2_tarski(D, k2_xboole_0(u1_cgames_1(C), u2_cgames_1(C))) &  (! [E] :  (v3_ordinal1(E) =>  ~ ( (r2_tarski(E, A) & r2_tarski(D, k2_cgames_1(E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_cgames_1, axiom, k2_cgames_1(k5_ordinal1)=k1_tarski(k1_cgames_1)).
fof(t3_cgames_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (r1_ordinal1(A, B) => r1_tarski(k2_cgames_1(A), k2_cgames_1(B))) ) ) ) ) ).
fof(d3_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) <=>  (? [B] :  (v3_ordinal1(B) & r2_tarski(A, k2_cgames_1(B))) ) ) ) ).
fof(d4_cgames_1, axiom, k4_cgames_1=g1_cgames_1(k1_tarski(k3_cgames_1), k1_xboole_0)).
fof(d5_cgames_1, axiom, k5_cgames_1=g1_cgames_1(k1_tarski(k3_cgames_1), k1_tarski(k3_cgames_1))).
fof(t4_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  (v1_cgames_1(A) & l1_cgames_1(A)) ) ) ).
fof(d6_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  (! [B] :  (B=k6_cgames_1(A) <=>  (? [C] :  (l1_cgames_1(C) &  (A=C & B=u1_cgames_1(C)) ) ) ) ) ) ) ).
fof(d7_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  (! [B] :  (B=k7_cgames_1(A) <=>  (? [C] :  (l1_cgames_1(C) &  (A=C & B=u2_cgames_1(C)) ) ) ) ) ) ) ).
fof(d8_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) => k8_cgames_1(A)=k2_xboole_0(k6_cgames_1(A), k7_cgames_1(A))) ) ).
fof(t5_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  (! [B] :  (v2_cgames_1(B) =>  (A=B <=>  (k6_cgames_1(A)=k6_cgames_1(B) & k7_cgames_1(A)=k7_cgames_1(B)) ) ) ) ) ) ).
fof(t6_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  (A=k3_cgames_1 <=> k8_cgames_1(A)=k1_xboole_0) ) ) ).
fof(t7_cgames_1, axiom,  (! [A] :  (r2_tarski(A, k6_cgames_1(k4_cgames_1)) <=> A=k3_cgames_1) ) ).
fof(t8_cgames_1, axiom,  (! [A] :  ( (r2_tarski(A, k8_cgames_1(k5_cgames_1)) => A=k3_cgames_1)  &  ( (A=k3_cgames_1 => r2_tarski(A, k8_cgames_1(k5_cgames_1)))  &  ( (r2_tarski(A, k6_cgames_1(k5_cgames_1)) => A=k3_cgames_1)  &  ( (A=k3_cgames_1 => r2_tarski(A, k6_cgames_1(k5_cgames_1)))  &  ( (r2_tarski(A, k7_cgames_1(k5_cgames_1)) => A=k3_cgames_1)  &  (A=k3_cgames_1 => r2_tarski(A, k7_cgames_1(k5_cgames_1))) ) ) ) ) ) ) ).
fof(t9_cgames_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v2_cgames_1(B) =>  (r2_tarski(B, k2_cgames_1(A)) <=>  (! [C] :  ~ ( (r2_tarski(C, k8_cgames_1(B)) &  (! [D] :  (v3_ordinal1(D) =>  ~ ( (r2_tarski(D, A) & r2_tarski(C, k2_cgames_1(D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (B=k9_cgames_1(A) <=>  (r2_tarski(A, k2_cgames_1(B)) &  (! [C] :  (v3_ordinal1(C) =>  ~ ( (r2_tarski(C, B) & r2_tarski(A, k2_cgames_1(C))) ) ) ) ) ) ) ) ) ) ).
fof(t10_cgames_1, axiom,  (! [A] :  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v2_cgames_1(C) =>  ( (r2_tarski(C, k2_cgames_1(B)) & r2_tarski(A, k8_cgames_1(C)))  => r2_tarski(A, k2_cgames_1(B))) ) ) ) ) ) ).
fof(t11_cgames_1, axiom,  (! [A] :  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v2_cgames_1(C) =>  (r2_tarski(C, k2_cgames_1(B)) =>  ( ( ~ (r2_tarski(A, k6_cgames_1(C)))  &  ~ (r2_tarski(A, k7_cgames_1(C))) )  | r2_tarski(A, k2_cgames_1(B))) ) ) ) ) ) ) ).
fof(t12_cgames_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v2_cgames_1(B) =>  (r2_tarski(B, k2_cgames_1(A)) <=> r1_ordinal1(k9_cgames_1(B), A)) ) ) ) ) ).
fof(t13_cgames_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v2_cgames_1(B) =>  (r2_tarski(k9_cgames_1(B), A) <=>  (? [C] :  (v3_ordinal1(C) &  (r2_tarski(C, A) & r2_tarski(B, k2_cgames_1(C))) ) ) ) ) ) ) ) ).
fof(t14_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  (! [B] :  (v2_cgames_1(B) =>  (r2_tarski(B, k8_cgames_1(A)) => r2_tarski(k9_cgames_1(B), k9_cgames_1(A))) ) ) ) ) ).
fof(t15_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  (! [B] :  (v2_cgames_1(B) =>  ( (r2_tarski(B, k6_cgames_1(A)) | r2_tarski(B, k7_cgames_1(A)))  => r2_tarski(k9_cgames_1(B), k9_cgames_1(A))) ) ) ) ) ).
fof(t16_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  ~ (r2_tarski(A, k8_cgames_1(A))) ) ) ).
fof(t17_cgames_1, axiom,  (! [A] :  (! [B] :  (v2_cgames_1(B) =>  (r2_tarski(A, k8_cgames_1(B)) =>  (v2_cgames_1(A) & l1_cgames_1(A)) ) ) ) ) ).
fof(t18_cgames_1, axiom,  (! [A] :  (! [B] :  (v2_cgames_1(B) =>  ( (r2_tarski(A, k6_cgames_1(B)) | r2_tarski(A, k7_cgames_1(B)))  =>  (v2_cgames_1(A) & l1_cgames_1(A)) ) ) ) ) ).
fof(t19_cgames_1, axiom,  (! [A] :  ( (v1_cgames_1(A) & l1_cgames_1(A))  =>  (v2_cgames_1(A) <=>  (! [B] :  (r2_tarski(B, k2_xboole_0(u1_cgames_1(A), u2_cgames_1(A))) => v2_cgames_1(B)) ) ) ) ) ).
fof(d10_cgames_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v3_cgames_1(A) <=>  (! [B] :  (r2_tarski(B, k9_xtuple_0(A)) => v2_cgames_1(k1_funct_1(A, B))) ) ) ) ) ).
fof(d11_cgames_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v3_cgames_1(A)) ) ) )  =>  (v4_cgames_1(A) <=>  (! [B] :  (m2_subset_1(B, k4_ordinal1, k4_finseq_1(A)) =>  ( ~ (r1_xxreal_0(B, 1))  => r2_tarski(k1_funct_1(A, k6_xcmplx_0(B, 1)), k8_cgames_1(k1_funct_1(A, B)))) ) ) ) ) ) ).
fof(t20_cgames_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k4_finseq_1(A)) =>  (r1_xxreal_0(B, 1) | r2_tarski(k6_xcmplx_0(B, 1), k4_finseq_1(A))) ) ) ) ) ) ).
fof(t21_cgames_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) &  (v3_cgames_1(A) & v4_cgames_1(A)) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, k4_ordinal1, k4_finseq_1(A)) =>  (! [C] :  (m2_subset_1(C, k4_ordinal1, k4_finseq_1(A)) =>  ( ~ (r1_xxreal_0(C, B))  => r2_tarski(k9_cgames_1(k1_funct_1(A, B)), k9_cgames_1(k1_funct_1(A, C)))) ) ) ) ) ) ) ).
fof(t22_cgames_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) &  (v3_cgames_1(A) & v4_cgames_1(A)) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, k4_ordinal1, k4_finseq_1(A)) =>  (! [C] :  (m2_subset_1(C, k4_ordinal1, k4_finseq_1(A)) =>  (r1_xxreal_0(B, C) => r1_ordinal1(k9_cgames_1(k1_funct_1(A, B)), k9_cgames_1(k1_funct_1(A, C)))) ) ) ) ) ) ) ).
fof(t23_cgames_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finseq_1(B) &  (v3_cgames_1(B) & v4_cgames_1(B)) ) ) ) )  =>  (r2_tarski(k1_funct_1(B, k3_finseq_1(B)), k2_cgames_1(A)) => r2_tarski(k1_funct_1(B, 1), k2_cgames_1(A))) ) ) ) ) ).
fof(d12_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  (! [B] :  (B=k10_cgames_1(A) <=>  (! [C] :  (r2_tarski(C, B) <=>  (? [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  ( ~ (v1_xboole_0(D))  &  (v1_finseq_1(D) &  (v3_cgames_1(D) & v4_cgames_1(D)) ) ) ) )  &  (k1_funct_1(D, 1)=C & k1_funct_1(D, k3_finseq_1(D))=A) ) ) ) ) ) ) ) ) ).
fof(d13_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) => k11_cgames_1(A)=k6_subset_1(k10_cgames_1(A), k1_tarski(A))) ) ).
fof(t24_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) => r2_tarski(A, k10_cgames_1(A))) ) ).
fof(t25_cgames_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) &  (v3_cgames_1(A) & v4_cgames_1(A)) ) ) ) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (v1_relat_1(k16_finseq_1(B, A)) &  (v1_funct_1(k16_finseq_1(B, A)) &  ( ~ (v1_xboole_0(k16_finseq_1(B, A)))  &  (v1_finseq_1(k16_finseq_1(B, A)) &  (v3_cgames_1(k16_finseq_1(B, A)) & v4_cgames_1(k16_finseq_1(B, A))) ) ) ) ) ) ) ) ) ).
fof(t26_cgames_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) &  (v3_cgames_1(A) & v4_cgames_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finseq_1(B) &  (v3_cgames_1(B) & v4_cgames_1(B)) ) ) ) )  =>  ( (? [C] :  (v2_cgames_1(C) &  (C=k1_funct_1(B, 1) & r2_tarski(k1_funct_1(A, k3_finseq_1(A)), k8_cgames_1(C))) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  ( ~ (v1_xboole_0(k7_finseq_1(A, B)))  &  (v1_finseq_1(k7_finseq_1(A, B)) &  (v3_cgames_1(k7_finseq_1(A, B)) & v4_cgames_1(k7_finseq_1(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(t27_cgames_1, axiom,  (! [A] :  (! [B] :  (v2_cgames_1(B) =>  (r2_tarski(A, k10_cgames_1(B)) <=>  ~ ( ( ~ (A=B)  &  (! [C] :  (v2_cgames_1(C) =>  ~ ( (r2_tarski(C, k8_cgames_1(B)) & r2_tarski(A, k10_cgames_1(C))) ) ) ) ) ) ) ) ) ) ).
fof(t28_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  (! [B] :  (v2_cgames_1(B) =>  ~ ( (r2_tarski(B, k10_cgames_1(A)) &  ( ~ (B=A)  &  ~ (r2_tarski(k9_cgames_1(B), k9_cgames_1(A))) ) ) ) ) ) ) ) ).
fof(t29_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  (! [B] :  (v2_cgames_1(B) =>  (r2_tarski(B, k10_cgames_1(A)) => r1_ordinal1(k9_cgames_1(B), k9_cgames_1(A))) ) ) ) ) ).
fof(t30_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  (! [B] :  ( (r2_tarski(A, B) &  (! [C] :  (v2_cgames_1(C) =>  (r2_tarski(C, B) => r1_tarski(k8_cgames_1(C), B)) ) ) )  => r1_tarski(k10_cgames_1(A), B)) ) ) ) ).
fof(t31_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  (! [B] :  (v2_cgames_1(B) =>  (r2_tarski(A, k10_cgames_1(B)) => r1_tarski(k10_cgames_1(A), k10_cgames_1(B))) ) ) ) ) ).
fof(t32_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  (! [B] :  (v2_cgames_1(B) =>  (r2_tarski(A, k10_cgames_1(B)) => r1_tarski(k11_cgames_1(A), k11_cgames_1(B))) ) ) ) ) ).
fof(t33_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) => r1_tarski(k8_cgames_1(A), k11_cgames_1(A))) ) ).
fof(t34_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) => r1_tarski(k8_cgames_1(A), k10_cgames_1(A))) ) ).
fof(t35_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  (! [B] :  (v2_cgames_1(B) =>  (r2_tarski(A, k11_cgames_1(B)) => r1_tarski(k10_cgames_1(A), k11_cgames_1(B))) ) ) ) ) ).
fof(t36_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  (! [B] :  (v2_cgames_1(B) =>  (r2_tarski(B, k8_cgames_1(A)) => r1_tarski(k10_cgames_1(B), k11_cgames_1(A))) ) ) ) ) ).
fof(t37_cgames_1, axiom, k12_cgames_1(k5_ordinal1, k3_cgames_1)=k1_tarski(k3_cgames_1)).
fof(t38_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) => r2_tarski(k3_cgames_1, k10_cgames_1(A))) ) ).
fof(t39_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  ( (! [B] :  (r2_tarski(B, k6_cgames_1(k13_cgames_1(A))) <=>  (? [C] :  (v2_cgames_1(C) &  (r2_tarski(C, k7_cgames_1(A)) & B=k13_cgames_1(C)) ) ) ) )  &  (! [B] :  (r2_tarski(B, k7_cgames_1(k13_cgames_1(A))) <=>  (? [C] :  (v2_cgames_1(C) &  (r2_tarski(C, k6_cgames_1(A)) & B=k13_cgames_1(C)) ) ) ) ) ) ) ) ).
fof(t40_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) => k13_cgames_1(k13_cgames_1(A))=A) ) ).
fof(t41_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  (! [B] :  (v2_cgames_1(B) =>  ( (r2_tarski(B, k6_cgames_1(k13_cgames_1(A))) => r2_tarski(k13_cgames_1(B), k7_cgames_1(A)))  &  ( (r2_tarski(k13_cgames_1(B), k7_cgames_1(A)) => r2_tarski(B, k6_cgames_1(k13_cgames_1(A))))  &  ( (r2_tarski(B, k6_cgames_1(A)) => r2_tarski(k13_cgames_1(B), k7_cgames_1(k13_cgames_1(A))))  &  ( (r2_tarski(k13_cgames_1(B), k7_cgames_1(k13_cgames_1(A))) => r2_tarski(B, k6_cgames_1(A)))  &  ( (r2_tarski(B, k7_cgames_1(k13_cgames_1(A))) => r2_tarski(k13_cgames_1(B), k6_cgames_1(A)))  &  ( (r2_tarski(k13_cgames_1(B), k6_cgames_1(A)) => r2_tarski(B, k7_cgames_1(k13_cgames_1(A))))  &  ( (r2_tarski(B, k7_cgames_1(A)) => r2_tarski(k13_cgames_1(B), k6_cgames_1(k13_cgames_1(A))))  &  (r2_tarski(k13_cgames_1(B), k6_cgames_1(k13_cgames_1(A))) => r2_tarski(B, k7_cgames_1(A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  (v5_cgames_1(A) <=>  (? [B] :  (r2_tarski(A, B) &  (! [C] :  (v2_cgames_1(C) =>  (r2_tarski(C, B) =>  (! [D] :  (v2_cgames_1(D) =>  ~ ( (r2_tarski(D, k7_cgames_1(C)) &  (! [E] :  (v2_cgames_1(E) =>  ~ ( (r2_tarski(E, k6_cgames_1(D)) & r2_tarski(E, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  (v6_cgames_1(A) <=> v5_cgames_1(k13_cgames_1(A))) ) ) ).
fof(d17_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  (v7_cgames_1(A) <=>  (v5_cgames_1(A) & v6_cgames_1(A)) ) ) ) ).
fof(d18_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  (v8_cgames_1(A) <=>  ( ~ (v5_cgames_1(A))  &  ~ (v6_cgames_1(A)) ) ) ) ) ).
fof(d19_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  (v9_cgames_1(A) <=>  (v5_cgames_1(A) &  ~ (v7_cgames_1(A)) ) ) ) ) ).
fof(d20_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  (v10_cgames_1(A) <=>  (v6_cgames_1(A) &  ~ (v7_cgames_1(A)) ) ) ) ) ).
fof(t42_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  ~ ( ( ~ (v7_cgames_1(A))  &  ( ~ (v9_cgames_1(A))  &  ( ~ (v10_cgames_1(A))  &  ~ (v8_cgames_1(A)) ) ) ) ) ) ) ).
fof(t43_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  (v5_cgames_1(A) <=>  (! [B] :  (v2_cgames_1(B) =>  ~ ( (r2_tarski(B, k7_cgames_1(A)) &  (! [C] :  (v2_cgames_1(C) =>  ~ ( (r2_tarski(C, k6_cgames_1(B)) & v5_cgames_1(C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  (v6_cgames_1(A) <=>  (! [B] :  (v2_cgames_1(B) =>  ~ ( (r2_tarski(B, k6_cgames_1(A)) &  (! [C] :  (v2_cgames_1(C) =>  ~ ( (r2_tarski(C, k7_cgames_1(B)) & v6_cgames_1(C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  ( (v5_cgames_1(A) =>  (! [B] :  (v2_cgames_1(B) =>  ~ ( (r2_tarski(B, k7_cgames_1(A)) &  ( ~ (v8_cgames_1(B))  &  ~ (v9_cgames_1(B)) ) ) ) ) ) )  &  ( ( (! [B] :  (v2_cgames_1(B) =>  ~ ( (r2_tarski(B, k7_cgames_1(A)) &  ( ~ (v8_cgames_1(B))  &  ~ (v9_cgames_1(B)) ) ) ) ) )  => v5_cgames_1(A))  &  ( (v6_cgames_1(A) =>  (! [B] :  (v2_cgames_1(B) =>  ~ ( (r2_tarski(B, k6_cgames_1(A)) &  ( ~ (v8_cgames_1(B))  &  ~ (v10_cgames_1(B)) ) ) ) ) ) )  &  ( (! [B] :  (v2_cgames_1(B) =>  ~ ( (r2_tarski(B, k6_cgames_1(A)) &  ( ~ (v8_cgames_1(B))  &  ~ (v10_cgames_1(B)) ) ) ) ) )  => v6_cgames_1(A)) ) ) ) ) ) ).
fof(t46_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  (v8_cgames_1(A) <=>  ( (? [B] :  (v2_cgames_1(B) &  (r2_tarski(B, k6_cgames_1(A)) & v5_cgames_1(B)) ) )  &  (? [B] :  (v2_cgames_1(B) &  (r2_tarski(B, k7_cgames_1(A)) & v6_cgames_1(B)) ) ) ) ) ) ) ).
fof(t47_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  (v7_cgames_1(A) <=>  ( (! [B] :  (v2_cgames_1(B) =>  ~ ( (r2_tarski(B, k6_cgames_1(A)) &  ( ~ (v8_cgames_1(B))  &  ~ (v10_cgames_1(B)) ) ) ) ) )  &  (! [B] :  (v2_cgames_1(B) =>  ~ ( (r2_tarski(B, k7_cgames_1(A)) &  ( ~ (v8_cgames_1(B))  &  ~ (v9_cgames_1(B)) ) ) ) ) ) ) ) ) ) ).
fof(t48_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  (v9_cgames_1(A) <=>  ( (! [B] :  (v2_cgames_1(B) =>  ~ ( (r2_tarski(B, k7_cgames_1(A)) &  ( ~ (v8_cgames_1(B))  &  ~ (v9_cgames_1(B)) ) ) ) ) )  &  (? [B] :  (v2_cgames_1(B) &  (r2_tarski(B, k6_cgames_1(A)) & v5_cgames_1(B)) ) ) ) ) ) ) ).
fof(t49_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  (v10_cgames_1(A) <=>  ( (! [B] :  (v2_cgames_1(B) =>  ~ ( (r2_tarski(B, k6_cgames_1(A)) &  ( ~ (v8_cgames_1(B))  &  ~ (v10_cgames_1(B)) ) ) ) ) )  &  (? [B] :  (v2_cgames_1(B) &  (r2_tarski(B, k7_cgames_1(A)) & v6_cgames_1(B)) ) ) ) ) ) ) ).
fof(s1_cgames_1, axiom,  ( (? [A] :  (v2_cgames_1(A) & p1_s1_cgames_1(A)) )  =>  (? [A] :  (v2_cgames_1(A) &  (p1_s1_cgames_1(A) &  (! [B] :  (v2_cgames_1(B) =>  ~ ( (r2_tarski(k9_cgames_1(B), k9_cgames_1(A)) & p1_s1_cgames_1(B)) ) ) ) ) ) ) ) ).
fof(s2_cgames_1, axiom,  ( (? [A] :  (v2_cgames_1(A) & p1_s2_cgames_1(A)) )  =>  (? [A] :  (v2_cgames_1(A) &  (p1_s2_cgames_1(A) &  (! [B] :  (v2_cgames_1(B) =>  ~ ( (r2_tarski(B, k8_cgames_1(A)) & p1_s2_cgames_1(B)) ) ) ) ) ) ) ) ).
fof(s3_cgames_1, axiom,  ( (! [A] :  (v2_cgames_1(A) =>  ( (! [B] :  (v2_cgames_1(B) =>  (r2_tarski(B, k8_cgames_1(A)) => p1_s3_cgames_1(B)) ) )  => p1_s3_cgames_1(A)) ) )  =>  (! [A] :  (v2_cgames_1(A) => p1_s3_cgames_1(A)) ) ) ).
fof(s4_cgames_1, axiom,  ( (? [A] :  (v2_cgames_1(A) & p1_s4_cgames_1(A)) )  =>  (? [A] :  (v2_cgames_1(A) &  (p1_s4_cgames_1(A) &  (! [B] :  (v2_cgames_1(B) =>  ~ ( (r2_tarski(B, k11_cgames_1(A)) & p1_s4_cgames_1(B)) ) ) ) ) ) ) ) ).
fof(s5_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (k9_xtuple_0(B)=k10_cgames_1(A) &  (k9_xtuple_0(C)=k10_cgames_1(A) &  ( (! [D] :  (v2_cgames_1(D) =>  (r2_tarski(D, k9_xtuple_0(B)) => k1_funct_1(B, D)=f1_s5_cgames_1(D, k5_relat_1(B, k11_cgames_1(D)))) ) )  &  (! [D] :  (v2_cgames_1(D) =>  (r2_tarski(D, k9_xtuple_0(C)) => k1_funct_1(C, D)=f1_s5_cgames_1(D, k5_relat_1(C, k11_cgames_1(D)))) ) ) ) ) )  => B=C) ) ) ) ) ) ) ).
fof(s6_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  (? [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  &  (k9_xtuple_0(B)=k10_cgames_1(A) &  (! [C] :  (v2_cgames_1(C) =>  (r2_tarski(C, k9_xtuple_0(B)) => k1_funct_1(B, C)=f1_s6_cgames_1(C, k5_relat_1(B, k11_cgames_1(C)))) ) ) ) ) ) ) ) ).
fof(abstractness_v1_cgames_1, axiom,  (! [A] :  (l1_cgames_1(A) =>  (v1_cgames_1(A) => A=g1_cgames_1(u1_cgames_1(A), u2_cgames_1(A))) ) ) ).
fof(existence_l1_cgames_1, axiom,  (? [A] : l1_cgames_1(A)) ).
fof(dt_g1_cgames_1, axiom,  (! [A, B] :  (v1_cgames_1(g1_cgames_1(A, B)) & l1_cgames_1(g1_cgames_1(A, B))) ) ).
fof(free_g1_cgames_1, axiom,  (! [A, B] :  (! [C, D] :  (g1_cgames_1(A, B)=g1_cgames_1(C, D) =>  (A=C & B=D) ) ) ) ).
fof(dt_k3_cgames_1, axiom, m1_subset_1(k3_cgames_1, k2_cgames_1(k5_ordinal1))).
fof(redefinition_k3_cgames_1, axiom, k3_cgames_1=k1_cgames_1).
fof(dt_k4_cgames_1, axiom, m1_subset_1(k4_cgames_1, k2_cgames_1(1))).
fof(dt_k5_cgames_1, axiom, m1_subset_1(k5_cgames_1, k2_cgames_1(1))).
fof(dt_k9_cgames_1, axiom,  (! [A] : v3_ordinal1(k9_cgames_1(A))) ).
fof(dt_k11_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) => m1_subset_1(k11_cgames_1(A), k1_zfmisc_1(k10_cgames_1(A)))) ) ).
fof(dt_k12_cgames_1, axiom,  (! [A, B] :  ( (v3_ordinal1(A) & m1_subset_1(B, k2_cgames_1(A)))  => m1_subset_1(k12_cgames_1(A, B), k1_zfmisc_1(k2_cgames_1(A)))) ) ).
fof(redefinition_k12_cgames_1, axiom,  (! [A, B] :  ( (v3_ordinal1(A) & m1_subset_1(B, k2_cgames_1(A)))  => k12_cgames_1(A, B)=k10_cgames_1(B)) ) ).
fof(d2_cgames_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (B=k2_cgames_1(A) <=>  (? [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) & v1_funct_1(C)) )  &  (r2_tarski(A, k9_xtuple_0(C)) &  (k1_funct_1(C, A)=B &  (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(D, k9_xtuple_0(C)) => k1_funct_1(C, D)=a_2_0_cgames_1(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  (! [B] :  (B=k13_cgames_1(A) <=>  (? [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  &  (k9_xtuple_0(C)=k10_cgames_1(A) &  (B=k1_funct_1(C, A) &  (! [D] :  (v2_cgames_1(D) =>  (r2_tarski(D, k9_xtuple_0(C)) => k1_funct_1(C, D)=g1_cgames_1(a_2_1_cgames_1(C, D), a_2_2_cgames_1(C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_cgames_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v5_ordinal1(B) & v1_funct_1(B)) )  & v3_ordinal1(C))  =>  (r2_hidden(A, a_2_0_cgames_1(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, k1_zfmisc_1(k3_tarski(k10_xtuple_0(k5_relat_1(B, C))))) & m1_subset_1(E, k1_zfmisc_1(k3_tarski(k10_xtuple_0(k5_relat_1(B, C))))))  & A=g1_cgames_1(D, E)) ) ) ) ) ).
fof(fraenkel_a_2_1_cgames_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v1_funct_1(B))  & v2_cgames_1(C))  =>  (r2_hidden(A, a_2_1_cgames_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, k7_cgames_1(C)) &  (A=k1_funct_1(B, D) &  ~ (k7_cgames_1(C)=k1_xboole_0) ) ) ) ) ) ) ).
fof(fraenkel_a_2_2_cgames_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v1_funct_1(B))  & v2_cgames_1(C))  =>  (r2_hidden(A, a_2_2_cgames_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, k6_cgames_1(C)) &  (A=k1_funct_1(B, D) &  ~ (k6_cgames_1(C)=k1_xboole_0) ) ) ) ) ) ) ).
fof(rc1_chain_1, axiom,  (? [A] :  ( ~ (v1_zfmisc_1(A))  & v1_finset_1(A)) ) ).
fof(fc1_chain_1, axiom,  (! [A, B] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v1_zfmisc_1(k2_xboole_0(A, B))) ) ) ).
fof(fc2_chain_1, axiom,  (! [A, B] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v1_zfmisc_1(k2_xboole_0(B, A))) ) ) ).
fof(rc2_chain_1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_zfmisc_1(B))  & v1_finset_1(B)) ) ) ) ) ).
fof(cc1_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_chain_1(B, A) => v2_finset_1(B)) ) ) ) ).
fof(t1_chain_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  (! [C] :  (m1_subset_1(C, k1_numbers) =>  ~ ( ( ~ (r1_xxreal_0(C, A))  &  ~ (r1_xxreal_0(B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_chain_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (m1_subset_1(C, k1_numbers) &  ( ~ (r1_xxreal_0(C, A))  &  ~ (r1_xxreal_0(C, B)) ) ) ) ) ) ) ) ).
fof(d1_chain_1, axiom,  (! [A] :  ( (v1_xreal_0(A) & m1_subset_1(A, k4_ordinal1))  =>  (v8_ordinal1(A) <=> r1_xxreal_0(A, k5_numbers)) ) ) ).
fof(d2_chain_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v8_ordinal1(A) <=>  ~ (r1_xxreal_0(1, A)) ) ) ) ).
fof(t3_chain_1, axiom,  (! [A] :  (! [B] :  (v1_zfmisc_1(k2_tarski(A, B)) <=> A=B) ) ) ).
fof(t4_chain_1, axiom,  (! [A] :  (! [B] :  ~ ( (v1_zfmisc_1(A) &  ( ~ (v1_zfmisc_1(k2_xboole_0(A, k1_tarski(B))))  &  (! [C] :  ~ (A=k1_tarski(C)) ) ) ) ) ) ) ).
fof(t5_chain_1, axiom,  (! [A] :  (k1_card_1(A)=2 <=>  (? [B] :  (? [C] :  (r2_tarski(B, A) &  (r2_tarski(C, A) &  ( ~ (B=C)  &  (! [D] :  ~ ( (r2_tarski(D, A) &  ( ~ (D=B)  &  ~ (D=C) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_chain_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (v1_finset_1(B) =>  (r1_xboole_0(A, B) =>  ( (v1_abian(k4_card_1(A)) <=> v1_abian(k4_card_1(B)))  <=> v1_abian(k4_card_1(k2_xboole_0(A, B)))) ) ) ) ) ) ).
fof(t8_chain_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (v1_finset_1(B) =>  ( (v1_abian(k4_card_1(A)) <=> v1_abian(k4_card_1(B)))  <=> v1_abian(k4_card_1(k5_xboole_0(A, B)))) ) ) ) ) ).
fof(d3_chain_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_finseq_2(B, k1_numbers) =>  (B=k1_euclid(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  (v1_funct_1(C) &  (v1_funct_2(C, k2_finseq_1(A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k1_numbers)))) ) ) ) ) ) ) ) ) ).
fof(d4_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_finseq_1(A), k1_zfmisc_1(k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k1_zfmisc_1(k1_numbers))))) )  =>  (m1_chain_1(B, A) <=>  (! [C] :  (m2_subset_1(C, k4_ordinal1, k2_finseq_1(A)) =>  ( ~ (v1_zfmisc_1(k3_funct_2(k2_finseq_1(A), k1_zfmisc_1(k1_numbers), B, C)))  & v1_finset_1(k3_funct_2(k2_finseq_1(A), k1_zfmisc_1(k1_numbers), B, C))) ) ) ) ) ) ) ) ).
fof(t9_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m1_chain_1(C, A) =>  (r2_tarski(B, k4_card_3(C)) <=>  (! [D] :  (m2_subset_1(D, k4_ordinal1, k2_finseq_1(A)) => r2_tarski(k1_funct_1(B, D), k2_chain_1(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t11_chain_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (? [B] :  (m1_subset_1(B, k1_numbers) &  (r2_tarski(B, A) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => r1_xxreal_0(C, B)) ) ) ) ) ) ) ) ).
fof(t12_chain_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (? [B] :  (m1_subset_1(B, k1_numbers) &  (r2_tarski(B, A) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => r1_xxreal_0(B, C)) ) ) ) ) ) ) ) ).
fof(t13_chain_1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (? [B] :  (v1_xreal_0(B) &  (? [C] :  (v1_xreal_0(C) &  (r2_hidden(B, A) &  (r2_hidden(C, A) &  ( ~ (r1_xxreal_0(C, B))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( (r2_hidden(D, A) &  ( ~ (r1_xxreal_0(D, B))  &  ~ (r1_xxreal_0(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_chain_1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (? [B] :  (v1_xreal_0(B) &  (? [C] :  (v1_xreal_0(C) &  (r2_hidden(B, A) &  (r2_hidden(C, A) &  ( ~ (r1_xxreal_0(B, C))  &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, A) =>  (r1_xxreal_0(C, D) & r1_xxreal_0(D, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_chain_1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k1_numbers, k1_numbers)) =>  (m2_chain_1(B, A) <=>  (? [C] :  (v1_xreal_0(C) &  (? [D] :  (v1_xreal_0(D) &  (B=k4_tarski(C, D) &  (r2_hidden(C, A) &  (r2_hidden(D, A) &  ( ( ~ (r1_xxreal_0(D, C))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, A) &  ( ~ (r1_xxreal_0(E, C))  &  ~ (r1_xxreal_0(D, E)) ) ) ) ) ) )  |  ( ~ (r1_xxreal_0(C, D))  &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, A) =>  (r1_xxreal_0(E, C) & r1_xxreal_0(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_chain_1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (m2_chain_1(k4_tarski(B, C), A) <=>  (r2_hidden(B, A) &  (r2_hidden(C, A) &  ( ( ~ (r1_xxreal_0(C, B))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( (r2_hidden(D, A) &  ( ~ (r1_xxreal_0(D, B))  &  ~ (r1_xxreal_0(C, D)) ) ) ) ) ) )  |  ( ~ (r1_xxreal_0(B, C))  &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, A) =>  (r1_xxreal_0(D, B) & r1_xxreal_0(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_chain_1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (A=k2_tarski(B, C) =>  (m2_chain_1(k4_tarski(D, E), A) <=>  ( (D=B & E=C)  |  (D=C & E=B) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_chain_1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r2_hidden(B, A) &  (! [C] :  (m1_subset_1(C, k1_numbers) =>  ~ (m2_chain_1(k4_tarski(B, C), A)) ) ) ) ) ) ) ) ) ).
fof(t19_chain_1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r2_hidden(B, A) &  (! [C] :  (m1_subset_1(C, k1_numbers) =>  ~ (m2_chain_1(k4_tarski(C, B), A)) ) ) ) ) ) ) ) ) ).
fof(t20_chain_1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (m2_chain_1(k4_tarski(B, C), A) & m2_chain_1(k4_tarski(B, D), A))  => C=D) ) ) ) ) ) ) ) ) ).
fof(t21_chain_1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (m2_chain_1(k4_tarski(B, C), A) & m2_chain_1(k4_tarski(D, C), A))  => B=D) ) ) ) ) ) ) ) ) ).
fof(t22_chain_1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ( (m2_chain_1(k4_tarski(B, C), A) & m2_chain_1(k4_tarski(D, E), A))  =>  (r1_xxreal_0(B, C) |  (r1_xxreal_0(D, E) |  (B=D & C=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (r2_tarski(D, k3_chain_1(A, B, C)) <=>  ~ ( ( ~ ( (! [E] :  (m2_subset_1(E, k4_ordinal1, k2_finseq_1(A)) =>  (r1_xxreal_0(k1_funct_1(B, E), k1_funct_1(D, E)) & r1_xxreal_0(k1_funct_1(D, E), k1_funct_1(C, E))) ) ) )  &  (! [E] :  (m2_subset_1(E, k4_ordinal1, k2_finseq_1(A)) =>  ~ ( ( ~ (r1_xxreal_0(k1_funct_1(B, E), k1_funct_1(C, E)))  &  (r1_xxreal_0(k1_funct_1(D, E), k1_funct_1(C, E)) | r1_xxreal_0(k1_funct_1(B, E), k1_funct_1(D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  ( (! [E] :  (m2_subset_1(E, k4_ordinal1, k2_finseq_1(A)) => r1_xxreal_0(k1_funct_1(B, E), k1_funct_1(C, E))) )  =>  (r2_tarski(D, k3_chain_1(A, B, C)) <=>  (! [E] :  (m2_subset_1(E, k4_ordinal1, k2_finseq_1(A)) =>  (r1_xxreal_0(k1_funct_1(B, E), k1_funct_1(D, E)) & r1_xxreal_0(k1_funct_1(D, E), k1_funct_1(C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  ( ~ ( (! [E] :  (m2_subset_1(E, k4_ordinal1, k2_finseq_1(A)) => r1_xxreal_0(k1_funct_1(B, E), k1_funct_1(C, E))) ) )  =>  (r2_tarski(D, k3_chain_1(A, B, C)) <=>  (? [E] :  (m2_subset_1(E, k4_ordinal1, k2_finseq_1(A)) &  ( ~ (r1_xxreal_0(k1_funct_1(B, E), k1_funct_1(C, E)))  &  (r1_xxreal_0(k1_funct_1(D, E), k1_funct_1(C, E)) | r1_xxreal_0(k1_funct_1(B, E), k1_funct_1(D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (r2_tarski(B, k3_chain_1(A, B, C)) & r2_tarski(C, k3_chain_1(A, B, C))) ) ) ) ) ) ) ).
fof(t27_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) => k3_chain_1(A, B, B)=k6_domain_1(k1_euclid(A), B)) ) ) ) ).
fof(t28_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  ( (! [F] :  (m2_subset_1(F, k4_ordinal1, k2_finseq_1(A)) => r1_xxreal_0(k1_funct_1(D, F), k1_funct_1(E, F))) )  =>  (r1_tarski(k3_chain_1(A, B, C), k3_chain_1(A, D, E)) <=>  (! [F] :  (m2_subset_1(F, k4_ordinal1, k2_finseq_1(A)) =>  (r1_xxreal_0(k1_funct_1(D, F), k1_funct_1(B, F)) &  (r1_xxreal_0(k1_funct_1(B, F), k1_funct_1(C, F)) & r1_xxreal_0(k1_funct_1(C, F), k1_funct_1(E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  ( (! [F] :  (m2_subset_1(F, k4_ordinal1, k2_finseq_1(A)) =>  ~ (r1_xxreal_0(k1_funct_1(B, F), k1_funct_1(C, F))) ) )  =>  (r1_tarski(k3_chain_1(A, B, C), k3_chain_1(A, D, E)) <=>  (! [F] :  (m2_subset_1(F, k4_ordinal1, k2_finseq_1(A)) =>  (r1_xxreal_0(k1_funct_1(C, F), k1_funct_1(E, F)) &  ( ~ (r1_xxreal_0(k1_funct_1(D, F), k1_funct_1(E, F)))  & r1_xxreal_0(k1_funct_1(D, F), k1_funct_1(B, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  ( ( (! [F] :  (m2_subset_1(F, k4_ordinal1, k2_finseq_1(A)) => r1_xxreal_0(k1_funct_1(B, F), k1_funct_1(C, F))) )  &  (! [F] :  (m2_subset_1(F, k4_ordinal1, k2_finseq_1(A)) =>  ~ (r1_xxreal_0(k1_funct_1(D, F), k1_funct_1(E, F))) ) ) )  =>  (r1_tarski(k3_chain_1(A, B, C), k3_chain_1(A, D, E)) <=>  ~ ( (! [F] :  (m2_subset_1(F, k4_ordinal1, k2_finseq_1(A)) =>  ( ~ (r1_xxreal_0(k1_funct_1(C, F), k1_funct_1(E, F)))  &  ~ (r1_xxreal_0(k1_funct_1(D, F), k1_funct_1(B, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  ( ( (! [F] :  (m2_subset_1(F, k4_ordinal1, k2_finseq_1(A)) => r1_xxreal_0(k1_funct_1(B, F), k1_funct_1(C, F))) )  |  (! [F] :  (m2_subset_1(F, k4_ordinal1, k2_finseq_1(A)) =>  ~ (r1_xxreal_0(k1_funct_1(B, F), k1_funct_1(C, F))) ) ) )  =>  (k3_chain_1(A, B, C)=k3_chain_1(A, D, E) <=>  (B=D & C=E) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_chain_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (m1_chain_1(C, B) =>  (r1_xxreal_0(A, B) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_euclid(B))) =>  (r2_tarski(D, k4_chain_1(B, C, A)) <=>  (? [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(B)) &  (? [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(B)) &  (D=k3_chain_1(B, E, F) &  ~ ( ( (! [G] :  (m1_subset_1(G, k1_zfmisc_1(k2_finseq_1(B))) =>  ~ ( (k4_card_1(G)=A &  (! [H] :  (m2_subset_1(H, k4_ordinal1, k2_finseq_1(B)) =>  ( (r2_tarski(H, G) &  ( ~ (r1_xxreal_0(k1_funct_1(F, H), k1_funct_1(E, H)))  & m2_chain_1(k4_tarski(k1_funct_1(E, H), k1_funct_1(F, H)), k2_chain_1(B, C, H))) )  |  ( ~ (r2_tarski(H, G))  &  (k1_funct_1(E, H)=k1_funct_1(F, H) & r2_tarski(k1_funct_1(E, H), k2_chain_1(B, C, H))) ) ) ) ) ) ) ) )  &  ~ ( (A=B &  (! [G] :  (m2_subset_1(G, k4_ordinal1, k2_finseq_1(B)) =>  ( ~ (r1_xxreal_0(k1_funct_1(E, G), k1_funct_1(F, G)))  & m2_chain_1(k4_tarski(k1_funct_1(E, G), k1_funct_1(F, G)), k2_chain_1(B, C, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_chain_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(B)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(B)) =>  (! [E] :  (m1_chain_1(E, B) =>  (r1_xxreal_0(A, B) =>  (r2_tarski(k3_chain_1(B, C, D), k4_chain_1(B, E, A)) <=>  ~ ( ( (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k2_finseq_1(B))) =>  ~ ( (k4_card_1(F)=A &  (! [G] :  (m2_subset_1(G, k4_ordinal1, k2_finseq_1(B)) =>  ( (r2_tarski(G, F) &  ( ~ (r1_xxreal_0(k1_funct_1(D, G), k1_funct_1(C, G)))  & m2_chain_1(k4_tarski(k1_funct_1(C, G), k1_funct_1(D, G)), k2_chain_1(B, E, G))) )  |  ( ~ (r2_tarski(G, F))  &  (k1_funct_1(C, G)=k1_funct_1(D, G) & r2_tarski(k1_funct_1(C, G), k2_chain_1(B, E, G))) ) ) ) ) ) ) ) )  &  ~ ( (A=B &  (! [F] :  (m2_subset_1(F, k4_ordinal1, k2_finseq_1(B)) =>  ( ~ (r1_xxreal_0(k1_funct_1(C, F), k1_funct_1(D, F)))  & m2_chain_1(k4_tarski(k1_funct_1(C, F), k1_funct_1(D, F)), k2_chain_1(B, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_chain_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(B)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(B)) =>  (! [E] :  (m1_chain_1(E, B) =>  ~ ( (r1_xxreal_0(A, B) &  (r2_tarski(k3_chain_1(B, C, D), k4_chain_1(B, E, A)) &  ( (? [F] :  (m2_subset_1(F, k4_ordinal1, k2_finseq_1(B)) &  ( ~ ( ( ~ (r1_xxreal_0(k1_funct_1(D, F), k1_funct_1(C, F)))  & m2_chain_1(k4_tarski(k1_funct_1(C, F), k1_funct_1(D, F)), k2_chain_1(B, E, F))) )  &  ~ ( (k1_funct_1(C, F)=k1_funct_1(D, F) & r2_tarski(k1_funct_1(C, F), k2_chain_1(B, E, F))) ) ) ) )  &  ~ ( (! [F] :  (m2_subset_1(F, k4_ordinal1, k2_finseq_1(B)) =>  ( ~ (r1_xxreal_0(k1_funct_1(C, F), k1_funct_1(D, F)))  & m2_chain_1(k4_tarski(k1_funct_1(C, F), k1_funct_1(D, F)), k2_chain_1(B, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_chain_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(B)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(B)) =>  (! [E] :  (m1_chain_1(E, B) =>  ( (r1_xxreal_0(A, B) & r2_tarski(k3_chain_1(B, C, D), k4_chain_1(B, E, A)))  =>  (! [F] :  (m2_subset_1(F, k4_ordinal1, k2_finseq_1(B)) =>  (r2_tarski(k1_funct_1(C, F), k2_chain_1(B, E, F)) & r2_tarski(k1_funct_1(D, F), k2_chain_1(B, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_chain_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(B)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(B)) =>  (! [E] :  (m1_chain_1(E, B) =>  ~ ( (r1_xxreal_0(A, B) &  (r2_tarski(k3_chain_1(B, C, D), k4_chain_1(B, E, A)) &  ( ~ ( (! [F] :  (m2_subset_1(F, k4_ordinal1, k2_finseq_1(B)) => r1_xxreal_0(k1_funct_1(C, F), k1_funct_1(D, F))) ) )  &  (? [F] :  (m2_subset_1(F, k4_ordinal1, k2_finseq_1(B)) & r1_xxreal_0(k1_funct_1(C, F), k1_funct_1(D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_chain_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_euclid(A))) =>  (r2_tarski(C, k4_chain_1(A, B, k5_numbers)) <=>  (? [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) &  (C=k3_chain_1(A, D, D) &  (! [E] :  (m2_subset_1(E, k4_ordinal1, k2_finseq_1(A)) => r2_tarski(k1_funct_1(D, E), k2_chain_1(A, B, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m1_chain_1(D, A) =>  (r2_tarski(k3_chain_1(A, B, C), k4_chain_1(A, D, k5_numbers)) <=>  (B=C &  (! [E] :  (m2_subset_1(E, k4_ordinal1, k2_finseq_1(A)) => r2_tarski(k1_funct_1(B, E), k2_chain_1(A, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_chain_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_euclid(A))) =>  (r2_tarski(C, k4_chain_1(A, B, A)) <=>  (? [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) &  (? [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) &  (C=k3_chain_1(A, D, E) &  ( (! [F] :  (m2_subset_1(F, k4_ordinal1, k2_finseq_1(A)) => m2_chain_1(k4_tarski(k1_funct_1(D, F), k1_funct_1(E, F)), k2_chain_1(A, B, F))) )  &  ( (! [F] :  (m2_subset_1(F, k4_ordinal1, k2_finseq_1(A)) =>  ~ (r1_xxreal_0(k1_funct_1(E, F), k1_funct_1(D, F))) ) )  |  (! [F] :  (m2_subset_1(F, k4_ordinal1, k2_finseq_1(A)) =>  ~ (r1_xxreal_0(k1_funct_1(D, F), k1_funct_1(E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m1_chain_1(D, A) =>  (r2_tarski(k3_chain_1(A, B, C), k4_chain_1(A, D, A)) <=>  ( (! [E] :  (m2_subset_1(E, k4_ordinal1, k2_finseq_1(A)) => m2_chain_1(k4_tarski(k1_funct_1(B, E), k1_funct_1(C, E)), k2_chain_1(A, D, E))) )  &  ( (! [E] :  (m2_subset_1(E, k4_ordinal1, k2_finseq_1(A)) =>  ~ (r1_xxreal_0(k1_funct_1(C, E), k1_funct_1(B, E))) ) )  |  (! [E] :  (m2_subset_1(E, k4_ordinal1, k2_finseq_1(A)) =>  ~ (r1_xxreal_0(k1_funct_1(B, E), k1_funct_1(C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_chain_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (m1_chain_1(C, B) =>  (B=k1_nat_1(A, 1) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_euclid(B))) =>  (r2_tarski(D, k4_chain_1(B, C, A)) <=>  (? [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(B)) &  (? [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(B)) &  (? [G] :  (m2_subset_1(G, k4_ordinal1, k2_finseq_1(B)) &  (D=k3_chain_1(B, E, F) &  (k1_funct_1(E, G)=k1_funct_1(F, G) &  (r2_tarski(k1_funct_1(E, G), k2_chain_1(B, C, G)) &  (! [H] :  (m2_subset_1(H, k4_ordinal1, k2_finseq_1(B)) =>  ( ~ (H=G)  =>  ( ~ (r1_xxreal_0(k1_funct_1(F, H), k1_funct_1(E, H)))  & m2_chain_1(k4_tarski(k1_funct_1(E, H), k1_funct_1(F, H)), k2_chain_1(B, C, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_chain_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(B)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(B)) =>  (! [E] :  (m1_chain_1(E, B) =>  (B=k1_nat_1(A, 1) =>  (r2_tarski(k3_chain_1(B, C, D), k4_chain_1(B, E, A)) <=>  (? [F] :  (m2_subset_1(F, k4_ordinal1, k2_finseq_1(B)) &  (k1_funct_1(C, F)=k1_funct_1(D, F) &  (r2_tarski(k1_funct_1(C, F), k2_chain_1(B, E, F)) &  (! [G] :  (m2_subset_1(G, k4_ordinal1, k2_finseq_1(B)) =>  ( ~ (G=F)  =>  ( ~ (r1_xxreal_0(k1_funct_1(D, G), k1_funct_1(C, G)))  & m2_chain_1(k4_tarski(k1_funct_1(C, G), k1_funct_1(D, G)), k2_chain_1(B, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_chain_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_euclid(A))) =>  (r2_tarski(C, k4_chain_1(A, B, 1)) <=>  (? [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) &  (? [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) &  (? [F] :  (m2_subset_1(F, k4_ordinal1, k2_finseq_1(A)) &  (C=k3_chain_1(A, D, E) &  ( ~ ( (r1_xxreal_0(k1_funct_1(E, F), k1_funct_1(D, F)) &  ~ ( (A=1 &  ~ (r1_xxreal_0(k1_funct_1(D, F), k1_funct_1(E, F))) ) ) ) )  &  (m2_chain_1(k4_tarski(k1_funct_1(D, F), k1_funct_1(E, F)), k2_chain_1(A, B, F)) &  (! [G] :  (m2_subset_1(G, k4_ordinal1, k2_finseq_1(A)) =>  ( ~ (G=F)  =>  (k1_funct_1(D, G)=k1_funct_1(E, G) & r2_tarski(k1_funct_1(D, G), k2_chain_1(A, B, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m1_chain_1(D, A) =>  (r2_tarski(k3_chain_1(A, B, C), k4_chain_1(A, D, 1)) <=>  (? [E] :  (m2_subset_1(E, k4_ordinal1, k2_finseq_1(A)) &  ( ~ ( (r1_xxreal_0(k1_funct_1(C, E), k1_funct_1(B, E)) &  ~ ( (A=1 &  ~ (r1_xxreal_0(k1_funct_1(B, E), k1_funct_1(C, E))) ) ) ) )  &  (m2_chain_1(k4_tarski(k1_funct_1(B, E), k1_funct_1(C, E)), k2_chain_1(A, D, E)) &  (! [F] :  (m2_subset_1(F, k4_ordinal1, k2_finseq_1(A)) =>  ( ~ (F=E)  =>  (k1_funct_1(B, F)=k1_funct_1(C, F) & r2_tarski(k1_funct_1(B, F), k2_chain_1(A, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_chain_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(C)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(C)) =>  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(C)) =>  (! [G] :  (m2_finseq_2(G, k1_numbers, k1_euclid(C)) =>  (! [H] :  (m1_chain_1(H, C) =>  ( (r1_xxreal_0(A, C) &  (r1_xxreal_0(B, C) &  (r2_tarski(k3_chain_1(C, D, E), k4_chain_1(C, H, A)) &  (r2_tarski(k3_chain_1(C, F, G), k4_chain_1(C, H, B)) & r1_tarski(k3_chain_1(C, D, E), k3_chain_1(C, F, G))) ) ) )  =>  (! [I] :  (m2_subset_1(I, k4_ordinal1, k2_finseq_1(C)) =>  ~ ( ( ~ ( (k1_funct_1(D, I)=k1_funct_1(F, I) & k1_funct_1(E, I)=k1_funct_1(G, I)) )  &  ( ~ ( (k1_funct_1(D, I)=k1_funct_1(F, I) & k1_funct_1(E, I)=k1_funct_1(F, I)) )  &  ( ~ ( (k1_funct_1(D, I)=k1_funct_1(G, I) & k1_funct_1(E, I)=k1_funct_1(G, I)) )  &  ~ ( (r1_xxreal_0(k1_funct_1(D, I), k1_funct_1(E, I)) &  ( ~ (r1_xxreal_0(k1_funct_1(F, I), k1_funct_1(G, I)))  &  (r1_xxreal_0(k1_funct_1(G, I), k1_funct_1(D, I)) & r1_xxreal_0(k1_funct_1(E, I), k1_funct_1(F, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_chain_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(C)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(C)) =>  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(C)) =>  (! [G] :  (m2_finseq_2(G, k1_numbers, k1_euclid(C)) =>  (! [H] :  (m1_chain_1(H, C) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  (r1_xxreal_0(B, C) &  (r2_tarski(k3_chain_1(C, D, E), k4_chain_1(C, H, A)) &  (r2_tarski(k3_chain_1(C, F, G), k4_chain_1(C, H, B)) &  (r1_tarski(k3_chain_1(C, D, E), k3_chain_1(C, F, G)) &  (! [I] :  (m2_subset_1(I, k4_ordinal1, k2_finseq_1(C)) =>  ( ~ ( (k1_funct_1(D, I)=k1_funct_1(F, I) & k1_funct_1(E, I)=k1_funct_1(F, I)) )  &  ~ ( (k1_funct_1(D, I)=k1_funct_1(G, I) & k1_funct_1(E, I)=k1_funct_1(G, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (! [F] :  (m1_chain_1(F, A) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(k2_finseq_1(A))) =>  (! [H] :  (m1_subset_1(H, k1_zfmisc_1(k2_finseq_1(A))) =>  ( (r1_tarski(k3_chain_1(A, B, C), k3_chain_1(A, D, E)) &  ( (! [I] :  (m2_subset_1(I, k4_ordinal1, k2_finseq_1(A)) =>  ( (r2_tarski(I, G) &  ( ~ (r1_xxreal_0(k1_funct_1(C, I), k1_funct_1(B, I)))  & m2_chain_1(k4_tarski(k1_funct_1(B, I), k1_funct_1(C, I)), k2_chain_1(A, F, I))) )  |  ( ~ (r2_tarski(I, G))  &  (k1_funct_1(B, I)=k1_funct_1(C, I) & r2_tarski(k1_funct_1(B, I), k2_chain_1(A, F, I))) ) ) ) )  &  (! [I] :  (m2_subset_1(I, k4_ordinal1, k2_finseq_1(A)) =>  ( (r2_tarski(I, H) &  ( ~ (r1_xxreal_0(k1_funct_1(E, I), k1_funct_1(D, I)))  & m2_chain_1(k4_tarski(k1_funct_1(D, I), k1_funct_1(E, I)), k2_chain_1(A, F, I))) )  |  ( ~ (r2_tarski(I, H))  &  (k1_funct_1(D, I)=k1_funct_1(E, I) & r2_tarski(k1_funct_1(D, I), k2_chain_1(A, F, I))) ) ) ) ) ) )  =>  (r1_tarski(G, H) &  ( (! [I] :  (m2_subset_1(I, k4_ordinal1, k2_finseq_1(A)) =>  ( ~ ( ( ~ (r2_tarski(I, G))  & r2_tarski(I, H)) )  =>  (k1_funct_1(B, I)=k1_funct_1(D, I) & k1_funct_1(C, I)=k1_funct_1(E, I)) ) ) )  &  (! [I] :  (m2_subset_1(I, k4_ordinal1, k2_finseq_1(A)) =>  ~ ( ( ~ (r2_tarski(I, G))  &  (r2_tarski(I, H) &  ( ~ ( (k1_funct_1(B, I)=k1_funct_1(D, I) & k1_funct_1(C, I)=k1_funct_1(D, I)) )  &  ~ ( (k1_funct_1(B, I)=k1_funct_1(E, I) & k1_funct_1(C, I)=k1_funct_1(E, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_chain_1(B, A) =>  (! [C] :  (v7_ordinal1(C) => k5_chain_1(A, B, C)=k1_xboole_0) ) ) ) ) ) ).
fof(d9_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_chain_1(B, A) => k6_chain_1(A, B)=k4_chain_1(A, B, A)) ) ) ) ).
fof(d10_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_chain_1(B, A) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k4_chain_1(A, B, A)) =>  (C=k8_chain_1(A, B) <=>  (? [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) &  (? [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) &  (C=k3_chain_1(A, D, E) &  (! [F] :  (m2_subset_1(F, k4_ordinal1, k2_finseq_1(A)) =>  ( ~ (r1_xxreal_0(k1_funct_1(D, F), k1_funct_1(E, F)))  & m2_chain_1(k4_tarski(k1_funct_1(D, F), k1_funct_1(E, F)), k2_chain_1(A, B, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m1_chain_1(D, A) =>  (m2_subset_1(k3_chain_1(A, B, C), k1_zfmisc_1(k1_euclid(A)), k4_chain_1(A, D, A)) =>  (k3_chain_1(A, B, C)=k8_chain_1(A, D) <=>  (! [E] :  (m2_subset_1(E, k4_ordinal1, k2_finseq_1(A)) =>  ~ (r1_xxreal_0(k1_funct_1(B, E), k1_funct_1(C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m1_chain_1(D, A) =>  (k3_chain_1(A, B, C)=k8_chain_1(A, D) <=>  (! [E] :  (m2_subset_1(E, k4_ordinal1, k2_finseq_1(A)) =>  ( ~ (r1_xxreal_0(k1_funct_1(B, E), k1_funct_1(C, E)))  & m2_chain_1(k4_tarski(k1_funct_1(B, E), k1_funct_1(C, E)), k2_chain_1(A, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_chain_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (m1_chain_1(C, B) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(B)), k4_chain_1(B, C, A)) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(k1_euclid(B)), k4_chain_1(B, C, k1_nat_1(A, 1))) =>  (r2_tarski(E, k9_chain_1(B, C, A, D)) <=> r1_tarski(D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_chain_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k4_chain_1(A, B, k1_nat_1(C, 1)))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k4_chain_1(A, B, C))) =>  (r1_chain_1(A, B, C, D, E) <=> E=k10_chain_1(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_chain_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (m1_chain_1(C, B) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(B)), k4_chain_1(B, C, A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k4_chain_1(B, C, k1_nat_1(A, 1)))) =>  (r2_tarski(D, k10_chain_1(B, C, A, E)) <=>  (r1_xxreal_0(k1_nat_1(A, 1), B) &  ~ (v1_abian(k4_card_1(k9_subset_1(k4_chain_1(B, C, k1_nat_1(A, 1)), k9_chain_1(B, C, A, D), E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_chain_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (m1_chain_1(C, B) =>  ( ~ (r1_xxreal_0(k1_nat_1(A, 1), B))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k4_chain_1(B, C, k1_nat_1(A, 1)))) => k10_chain_1(B, C, A, D)=k5_chain_1(B, C, A)) ) ) ) ) ) ) ) ) ).
fof(t53_chain_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (m1_chain_1(C, B) =>  (r1_xxreal_0(k1_nat_1(A, 1), B) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(B)), k4_chain_1(B, C, A)) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(k1_euclid(B)), k4_chain_1(B, C, k1_nat_1(A, 1))) =>  (r2_tarski(D, k10_chain_1(B, C, A, k6_domain_1(k4_chain_1(B, C, k1_nat_1(A, 1)), E))) <=> r1_tarski(D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_chain_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (m1_chain_1(C, B) =>  (B=k1_nat_1(A, 1) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(B)), k4_chain_1(B, C, A)) => k4_card_1(k9_chain_1(B, C, A, D))=2) ) ) ) ) ) ) ) ) ).
fof(t55_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_chain_1(B, A) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k4_chain_1(A, B, k1_nat_1(k5_numbers, 1))) => k4_card_1(k10_chain_1(A, B, k5_numbers, k6_domain_1(k4_chain_1(A, B, k1_nat_1(k5_numbers, 1)), C)))=2) ) ) ) ) ) ).
fof(t56_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_chain_1(B, A) =>  (k6_chain_1(A, B)=k3_subset_1(k4_chain_1(A, B, A), k5_chain_1(A, B, A)) & k5_chain_1(A, B, A)=k3_subset_1(k4_chain_1(A, B, A), k6_chain_1(A, B))) ) ) ) ) ).
fof(t57_chain_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (m1_chain_1(C, B) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k4_chain_1(B, C, A))) => k7_chain_1(B, C, A, D, k5_chain_1(B, C, A))=D) ) ) ) ) ) ) ) ).
fof(t58_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_chain_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k4_chain_1(A, B, A))) => k3_subset_1(k4_chain_1(A, B, A), C)=k7_chain_1(A, B, A, C, k6_chain_1(A, B))) ) ) ) ) ) ).
fof(t59_chain_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (m1_chain_1(C, B) => k10_chain_1(B, C, A, k5_chain_1(B, C, k1_nat_1(A, 1)))=k5_chain_1(B, C, A)) ) ) ) ) ) ).
fof(t60_chain_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_chain_1(B, k1_nat_1(A, 1)) => k10_chain_1(k1_nat_1(A, 1), B, A, k6_chain_1(k1_nat_1(A, 1), B))=k5_chain_1(k1_nat_1(A, 1), B, A)) ) ) ) ).
fof(t61_chain_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (m1_chain_1(C, B) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k4_chain_1(B, C, k1_nat_1(A, 1)))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k4_chain_1(B, C, k1_nat_1(A, 1)))) => k10_chain_1(B, C, A, k7_chain_1(B, C, k1_nat_1(A, 1), D, E))=k7_chain_1(B, C, A, k10_chain_1(B, C, A, D), k10_chain_1(B, C, A, E))) ) ) ) ) ) ) ) ) ) ).
fof(t62_chain_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_chain_1(B, k1_nat_1(A, 1)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k4_chain_1(k1_nat_1(A, 1), B, k1_nat_1(A, 1)))) => k10_chain_1(k1_nat_1(A, 1), B, A, k3_subset_1(k4_chain_1(k1_nat_1(A, 1), B, k1_nat_1(A, 1)), C))=k10_chain_1(k1_nat_1(A, 1), B, A, C)) ) ) ) ) ) ).
fof(t63_chain_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (m1_chain_1(C, B) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k4_chain_1(B, C, k1_nat_1(k1_nat_1(A, 1), 1)))) => k10_chain_1(B, C, A, k10_chain_1(B, C, k1_nat_1(A, 1), D))=k5_chain_1(B, C, A)) ) ) ) ) ) ) ) ).
fof(d14_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_chain_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k4_chain_1(A, B, C))) =>  (m3_chain_1(D, A, B, C) <=>  ~ ( ( ~ ( (C=k5_numbers & v1_abian(k4_card_1(D))) )  &  (! [E] :  (v7_ordinal1(E) =>  ~ ( (C=k1_nat_1(E, 1) &  (? [F] :  (m1_subset_1(F, k1_zfmisc_1(k4_chain_1(A, B, k1_nat_1(E, 1)))) &  (F=D & k10_chain_1(A, B, E, F)=k5_chain_1(A, B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_chain_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (m1_chain_1(C, B) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k4_chain_1(B, C, k1_nat_1(A, 1)))) =>  (m3_chain_1(D, B, C, k1_nat_1(A, 1)) <=> k10_chain_1(B, C, A, D)=k5_chain_1(B, C, A)) ) ) ) ) ) ) ) ) ).
fof(t65_chain_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (m1_chain_1(C, B) =>  ( ~ (r1_xxreal_0(A, B))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k4_chain_1(B, C, A))) => m3_chain_1(D, B, C, A)) ) ) ) ) ) ) ) ) ).
fof(t66_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_chain_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k4_chain_1(A, B, k5_numbers))) =>  (m3_chain_1(C, A, B, k5_numbers) <=> v1_abian(k4_card_1(C))) ) ) ) ) ) ) ).
fof(d15_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_chain_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m3_chain_1(D, A, B, k1_nat_1(C, 1)) => k10_chain_1(A, B, C, D)=k5_chain_1(A, B, C)) ) ) ) ) ) ) ) ).
fof(t67_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_chain_1(B, A) =>  (! [C] :  (m3_chain_1(C, A, B, A) => m3_chain_1(k3_subset_1(k4_chain_1(A, B, A), C), A, B, A)) ) ) ) ) ) ).
fof(d16_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_chain_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v8_algstr_0(D) &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l2_algstr_0(D)) ) ) ) ) )  =>  (D=k15_chain_1(A, B, C) <=>  (u1_struct_0(D)=k1_chain_1(k1_zfmisc_1(k1_euclid(A)), k4_chain_1(A, B, C)) &  (k4_struct_0(D)=k11_chain_1(A, B, C) &  (! [E] :  (m1_subset_1(E, u1_struct_0(D)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(D)) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(k4_chain_1(A, B, C))) =>  (! [H] :  (m1_subset_1(H, k1_zfmisc_1(k4_chain_1(A, B, C))) =>  ( (E=G & F=H)  => k3_rlvect_1(D, E, F)=k7_chain_1(A, B, C, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_chain_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (m1_chain_1(C, B) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k4_chain_1(B, C, A))) <=> m1_subset_1(D, u1_struct_0(k15_chain_1(B, C, A)))) ) ) ) ) ) ) ) ).
fof(d17_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_chain_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k15_chain_1(A, B, k1_nat_1(C, 1))), u1_struct_0(k15_chain_1(A, B, C))) &  (v13_vectsp_1(D, k15_chain_1(A, B, k1_nat_1(C, 1)), k15_chain_1(A, B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_chain_1(A, B, k1_nat_1(C, 1))), u1_struct_0(k15_chain_1(A, B, C)))))) ) )  =>  (D=k16_chain_1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_chain_1(A, B, k1_nat_1(C, 1)))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k4_chain_1(A, B, k1_nat_1(C, 1)))) =>  (E=F => k3_funct_2(u1_struct_0(k15_chain_1(A, B, k1_nat_1(C, 1))), u1_struct_0(k15_chain_1(A, B, C)), D, E)=k14_chain_1(A, B, C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s2_chain_1, axiom,  ( ( (! [A] :  (m1_subset_1(A, f1_s2_chain_1) =>  (r2_tarski(A, f2_s2_chain_1) => p1_s2_chain_1(k6_domain_1(f1_s2_chain_1, A))) ) )  &  (! [A] :  (m1_subset_1(A, f1_s2_chain_1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(f1_s2_chain_1))) )  =>  ( (r2_tarski(A, f2_s2_chain_1) &  (r1_tarski(B, f2_s2_chain_1) & p1_s2_chain_1(B)) )  =>  (r2_tarski(A, B) | p1_s2_chain_1(k4_subset_1(f1_s2_chain_1, B, k6_domain_1(f1_s2_chain_1, A)))) ) ) ) ) ) )  => p1_s2_chain_1(f2_s2_chain_1)) ).
fof(s3_chain_1, axiom,  ( ( (! [A] :  (m1_subset_1(A, f1_s3_chain_1) =>  (! [B] :  (m1_subset_1(B, f1_s3_chain_1) =>  ( (r2_tarski(A, f2_s3_chain_1) & r2_tarski(B, f2_s3_chain_1))  =>  (A=B | p1_s3_chain_1(k7_domain_1(f1_s3_chain_1, A, B))) ) ) ) ) )  &  (! [A] :  (m1_subset_1(A, f1_s3_chain_1) =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  &  (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(f1_s3_chain_1))) )  =>  ( (r2_tarski(A, f2_s3_chain_1) &  (r1_tarski(B, f2_s3_chain_1) & p1_s3_chain_1(B)) )  =>  (r2_tarski(A, B) | p1_s3_chain_1(k4_subset_1(f1_s3_chain_1, B, k6_domain_1(f1_s3_chain_1, A)))) ) ) ) ) ) )  => p1_s3_chain_1(f2_s3_chain_1)) ).
fof(s4_chain_1, axiom,  ( (p1_s4_chain_1(k5_chain_1(f1_s4_chain_1, f2_s4_chain_1, f3_s4_chain_1)) &  ( (! [A] :  (m2_subset_1(A, k1_zfmisc_1(k1_euclid(f1_s4_chain_1)), k4_chain_1(f1_s4_chain_1, f2_s4_chain_1, f3_s4_chain_1)) =>  (r2_tarski(A, f4_s4_chain_1) => p1_s4_chain_1(k6_domain_1(k4_chain_1(f1_s4_chain_1, f2_s4_chain_1, f3_s4_chain_1), A))) ) )  &  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k4_chain_1(f1_s4_chain_1, f2_s4_chain_1, f3_s4_chain_1))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k4_chain_1(f1_s4_chain_1, f2_s4_chain_1, f3_s4_chain_1))) =>  ( (r1_tarski(A, f4_s4_chain_1) &  (r1_tarski(B, f4_s4_chain_1) &  (p1_s4_chain_1(A) & p1_s4_chain_1(B)) ) )  => p1_s4_chain_1(k7_chain_1(f1_s4_chain_1, f2_s4_chain_1, f3_s4_chain_1, A, B))) ) ) ) ) ) )  => p1_s4_chain_1(f4_s4_chain_1)) ).
fof(dt_f1_s1_chain_1, axiom,  ~ (v1_xboole_0(f1_s1_chain_1)) ).
fof(dt_f2_s1_chain_1, axiom,  ~ (v1_xboole_0(f2_s1_chain_1)) ).
fof(dt_f3_s1_chain_1, axiom,  (! [A, B] : m1_subset_1(f3_s1_chain_1(A, B), f1_s1_chain_1)) ).
fof(dt_k1_chain_1, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => m1_subset_1(k1_chain_1(A, B), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ).
fof(redefinition_k1_chain_1, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k1_chain_1(A, B)=k1_zfmisc_1(B)) ) ).
fof(dt_f1_s2_chain_1, axiom,  ~ (v1_xboole_0(f1_s2_chain_1)) ).
fof(dt_f2_s2_chain_1, axiom,  ( ~ (v1_xboole_0(f2_s2_chain_1))  &  (v1_finset_1(f2_s2_chain_1) & m1_subset_1(f2_s2_chain_1, k1_zfmisc_1(f1_s2_chain_1))) ) ).
fof(dt_f1_s3_chain_1, axiom,  ~ (v1_zfmisc_1(f1_s3_chain_1)) ).
fof(dt_f2_s3_chain_1, axiom,  ( ~ (v1_zfmisc_1(f2_s3_chain_1))  &  (v1_finset_1(f2_s3_chain_1) & m1_subset_1(f2_s3_chain_1, k1_zfmisc_1(f1_s3_chain_1))) ) ).
fof(dt_m1_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_chain_1(B, A) =>  (v1_funct_1(B) &  (v1_funct_2(B, k2_finseq_1(A), k1_zfmisc_1(k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k1_zfmisc_1(k1_numbers))))) ) ) ) ) ) ).
fof(existence_m1_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (? [B] : m1_chain_1(B, A)) ) ) ).
fof(dt_k2_chain_1, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (m1_chain_1(B, A) & m1_subset_1(C, k2_finseq_1(A))) )  =>  ( ~ (v1_zfmisc_1(k2_chain_1(A, B, C)))  &  (v1_finset_1(k2_chain_1(A, B, C)) & m1_subset_1(k2_chain_1(A, B, C), k1_zfmisc_1(k1_numbers))) ) ) ) ).
fof(redefinition_k2_chain_1, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (m1_chain_1(B, A) & m1_subset_1(C, k2_finseq_1(A))) )  => k2_chain_1(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_m2_chain_1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m2_chain_1(B, A) => m1_subset_1(B, k2_zfmisc_1(k1_numbers, k1_numbers))) ) ) ) ).
fof(existence_m2_chain_1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (? [B] : m2_chain_1(B, A)) ) ) ).
fof(dt_k3_chain_1, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (m1_subset_1(B, k1_euclid(A)) & m1_subset_1(C, k1_euclid(A))) )  =>  ( ~ (v1_xboole_0(k3_chain_1(A, B, C)))  & m1_subset_1(k3_chain_1(A, B, C), k1_zfmisc_1(k1_euclid(A)))) ) ) ).
fof(dt_k4_chain_1, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (m1_chain_1(B, A) & v7_ordinal1(C)) )  =>  ( ~ (v1_xboole_0(k4_chain_1(A, B, C)))  &  (v1_finset_1(k4_chain_1(A, B, C)) & m1_subset_1(k4_chain_1(A, B, C), k1_zfmisc_1(k1_zfmisc_1(k1_euclid(A))))) ) ) ) ).
fof(dt_k5_chain_1, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (m1_chain_1(B, A) & v7_ordinal1(C)) )  => m1_subset_1(k5_chain_1(A, B, C), k1_zfmisc_1(k4_chain_1(A, B, C)))) ) ).
fof(dt_k6_chain_1, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  & m1_chain_1(B, A))  => m1_subset_1(k6_chain_1(A, B), k1_zfmisc_1(k4_chain_1(A, B, A)))) ) ).
fof(dt_k7_chain_1, axiom,  (! [A, B, C, D, E] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (m1_chain_1(B, A) &  (v7_ordinal1(C) &  (m1_subset_1(D, k1_zfmisc_1(k4_chain_1(A, B, C))) & m1_subset_1(E, k1_zfmisc_1(k4_chain_1(A, B, C)))) ) ) )  => m1_subset_1(k7_chain_1(A, B, C, D, E), k1_zfmisc_1(k4_chain_1(A, B, C)))) ) ).
fof(commutativity_k7_chain_1, axiom,  (! [A, B, C, D, E] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (m1_chain_1(B, A) &  (v7_ordinal1(C) &  (m1_subset_1(D, k1_zfmisc_1(k4_chain_1(A, B, C))) & m1_subset_1(E, k1_zfmisc_1(k4_chain_1(A, B, C)))) ) ) )  => k7_chain_1(A, B, C, D, E)=k7_chain_1(A, B, C, E, D)) ) ).
fof(redefinition_k7_chain_1, axiom,  (! [A, B, C, D, E] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (m1_chain_1(B, A) &  (v7_ordinal1(C) &  (m1_subset_1(D, k1_zfmisc_1(k4_chain_1(A, B, C))) & m1_subset_1(E, k1_zfmisc_1(k4_chain_1(A, B, C)))) ) ) )  => k7_chain_1(A, B, C, D, E)=k5_xboole_0(D, E)) ) ).
fof(dt_k8_chain_1, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  & m1_chain_1(B, A))  => m2_subset_1(k8_chain_1(A, B), k1_zfmisc_1(k1_euclid(A)), k4_chain_1(A, B, A))) ) ).
fof(dt_f1_s4_chain_1, axiom,  (v7_ordinal1(f1_s4_chain_1) &  ~ (v8_ordinal1(f1_s4_chain_1)) ) ).
fof(dt_f2_s4_chain_1, axiom, m1_chain_1(f2_s4_chain_1, f1_s4_chain_1)).
fof(dt_f3_s4_chain_1, axiom, v7_ordinal1(f3_s4_chain_1)).
fof(dt_f4_s4_chain_1, axiom, m1_subset_1(f4_s4_chain_1, k1_zfmisc_1(k4_chain_1(f1_s4_chain_1, f2_s4_chain_1, f3_s4_chain_1)))).
fof(dt_k9_chain_1, axiom,  (! [A, B, C, D] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (m1_chain_1(B, A) &  (v7_ordinal1(C) & m1_subset_1(D, k4_chain_1(A, B, C))) ) )  => m1_subset_1(k9_chain_1(A, B, C, D), k1_zfmisc_1(k4_chain_1(A, B, k1_nat_1(C, 1))))) ) ).
fof(dt_k10_chain_1, axiom,  (! [A, B, C, D] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (m1_chain_1(B, A) &  (v7_ordinal1(C) & m1_subset_1(D, k1_zfmisc_1(k4_chain_1(A, B, k1_nat_1(C, 1))))) ) )  => m1_subset_1(k10_chain_1(A, B, C, D), k1_zfmisc_1(k4_chain_1(A, B, C)))) ) ).
fof(dt_m3_chain_1, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (m1_chain_1(B, A) & v7_ordinal1(C)) )  =>  (! [D] :  (m3_chain_1(D, A, B, C) => m1_subset_1(D, k1_zfmisc_1(k4_chain_1(A, B, C)))) ) ) ) ).
fof(existence_m3_chain_1, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (m1_chain_1(B, A) & v7_ordinal1(C)) )  =>  (? [D] : m3_chain_1(D, A, B, C)) ) ) ).
fof(dt_k11_chain_1, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (m1_chain_1(B, A) & v7_ordinal1(C)) )  => m3_chain_1(k11_chain_1(A, B, C), A, B, C)) ) ).
fof(redefinition_k11_chain_1, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (m1_chain_1(B, A) & v7_ordinal1(C)) )  => k11_chain_1(A, B, C)=k5_chain_1(A, B, C)) ) ).
fof(dt_k12_chain_1, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  & m1_chain_1(B, A))  => m3_chain_1(k12_chain_1(A, B), A, B, A)) ) ).
fof(redefinition_k12_chain_1, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  & m1_chain_1(B, A))  => k12_chain_1(A, B)=k6_chain_1(A, B)) ) ).
fof(dt_k13_chain_1, axiom,  (! [A, B, C, D, E] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (m1_chain_1(B, A) &  (v7_ordinal1(C) &  (m3_chain_1(D, A, B, C) & m3_chain_1(E, A, B, C)) ) ) )  => m3_chain_1(k13_chain_1(A, B, C, D, E), A, B, C)) ) ).
fof(commutativity_k13_chain_1, axiom,  (! [A, B, C, D, E] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (m1_chain_1(B, A) &  (v7_ordinal1(C) &  (m3_chain_1(D, A, B, C) & m3_chain_1(E, A, B, C)) ) ) )  => k13_chain_1(A, B, C, D, E)=k13_chain_1(A, B, C, E, D)) ) ).
fof(redefinition_k13_chain_1, axiom,  (! [A, B, C, D, E] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (m1_chain_1(B, A) &  (v7_ordinal1(C) &  (m3_chain_1(D, A, B, C) & m3_chain_1(E, A, B, C)) ) ) )  => k13_chain_1(A, B, C, D, E)=k5_xboole_0(D, E)) ) ).
fof(dt_k14_chain_1, axiom,  (! [A, B, C, D] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (m1_chain_1(B, A) &  (v7_ordinal1(C) & m1_subset_1(D, k1_zfmisc_1(k4_chain_1(A, B, k1_nat_1(C, 1))))) ) )  => m3_chain_1(k14_chain_1(A, B, C, D), A, B, C)) ) ).
fof(redefinition_k14_chain_1, axiom,  (! [A, B, C, D] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (m1_chain_1(B, A) &  (v7_ordinal1(C) & m1_subset_1(D, k1_zfmisc_1(k4_chain_1(A, B, k1_nat_1(C, 1))))) ) )  => k14_chain_1(A, B, C, D)=k10_chain_1(A, B, C, D)) ) ).
fof(dt_k15_chain_1, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (m1_chain_1(B, A) & v7_ordinal1(C)) )  =>  ( ~ (v2_struct_0(k15_chain_1(A, B, C)))  &  (v8_algstr_0(k15_chain_1(A, B, C)) &  (v13_algstr_0(k15_chain_1(A, B, C)) &  (v2_rlvect_1(k15_chain_1(A, B, C)) &  (v3_rlvect_1(k15_chain_1(A, B, C)) &  (v4_rlvect_1(k15_chain_1(A, B, C)) & l2_algstr_0(k15_chain_1(A, B, C))) ) ) ) ) ) ) ) ).
fof(dt_k16_chain_1, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (m1_chain_1(B, A) & v7_ordinal1(C)) )  =>  (v1_funct_1(k16_chain_1(A, B, C)) &  (v1_funct_2(k16_chain_1(A, B, C), u1_struct_0(k15_chain_1(A, B, k1_nat_1(C, 1))), u1_struct_0(k15_chain_1(A, B, C))) &  (v13_vectsp_1(k16_chain_1(A, B, C), k15_chain_1(A, B, k1_nat_1(C, 1)), k15_chain_1(A, B, C)) & m1_subset_1(k16_chain_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_chain_1(A, B, k1_nat_1(C, 1))), u1_struct_0(k15_chain_1(A, B, C)))))) ) ) ) ) ).
fof(d6_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) => k3_chain_1(A, B, C)=a_3_0_chain_1(A, B, C)) ) ) ) ) ) ).
fof(d7_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_chain_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(C, A) => k4_chain_1(A, B, C)=a_3_1_chain_1(A, B, C)) ) ) ) ) ) ) ).
fof(d11_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_chain_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(A)), k4_chain_1(A, B, C)) => k9_chain_1(A, B, C, D)=a_4_0_chain_1(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(d12_chain_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_chain_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k4_chain_1(A, B, k1_nat_1(C, 1)))) => k10_chain_1(A, B, C, D)=a_4_1_chain_1(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(s1_chain_1, axiom, r1_tarski(a_0_0_chain_1, f1_s1_chain_1)).
fof(fraenkel_a_3_0_chain_1, axiom,  (! [A, B, C, D] :  ( ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  &  (m2_finseq_2(C, k1_numbers, k1_euclid(B)) & m2_finseq_2(D, k1_numbers, k1_euclid(B))) )  =>  (r2_hidden(A, a_3_0_chain_1(B, C, D)) <=>  (? [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(B)) &  (A=E &  ~ ( ( ~ ( (! [F] :  (m2_subset_1(F, k4_ordinal1, k2_finseq_1(B)) =>  (r1_xxreal_0(k1_funct_1(C, F), k1_funct_1(E, F)) & r1_xxreal_0(k1_funct_1(E, F), k1_funct_1(D, F))) ) ) )  &  (! [F] :  (m2_subset_1(F, k4_ordinal1, k2_finseq_1(B)) =>  ~ ( ( ~ (r1_xxreal_0(k1_funct_1(C, F), k1_funct_1(D, F)))  &  (r1_xxreal_0(k1_funct_1(E, F), k1_funct_1(D, F)) | r1_xxreal_0(k1_funct_1(C, F), k1_funct_1(E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_chain_1, axiom,  (! [A, B, C, D] :  ( ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  &  (m1_chain_1(C, B) & v7_ordinal1(D)) )  =>  (r2_hidden(A, a_3_1_chain_1(B, C, D)) <=>  (? [E, F] :  ( (m2_finseq_2(E, k1_numbers, k1_euclid(B)) & m2_finseq_2(F, k1_numbers, k1_euclid(B)))  &  (A=k3_chain_1(B, E, F) &  ~ ( ( (! [G] :  (m1_subset_1(G, k1_zfmisc_1(k2_finseq_1(B))) =>  ~ ( (k4_card_1(G)=D &  (! [H] :  (m2_subset_1(H, k4_ordinal1, k2_finseq_1(B)) =>  ( (r2_tarski(H, G) &  ( ~ (r1_xxreal_0(k1_funct_1(F, H), k1_funct_1(E, H)))  & m2_chain_1(k4_tarski(k1_funct_1(E, H), k1_funct_1(F, H)), k2_chain_1(B, C, H))) )  |  ( ~ (r2_tarski(H, G))  &  (k1_funct_1(E, H)=k1_funct_1(F, H) & r2_tarski(k1_funct_1(E, H), k2_chain_1(B, C, H))) ) ) ) ) ) ) ) )  &  ~ ( (D=B &  (! [G] :  (m2_subset_1(G, k4_ordinal1, k2_finseq_1(B)) =>  ( ~ (r1_xxreal_0(k1_funct_1(E, G), k1_funct_1(F, G)))  & m2_chain_1(k4_tarski(k1_funct_1(E, G), k1_funct_1(F, G)), k2_chain_1(B, C, G))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_chain_1, axiom,  (! [A, B, C, D, E] :  ( ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  &  (m1_chain_1(C, B) &  (v7_ordinal1(D) & m2_subset_1(E, k1_zfmisc_1(k1_euclid(B)), k4_chain_1(B, C, D))) ) )  =>  (r2_hidden(A, a_4_0_chain_1(B, C, D, E)) <=>  (? [F] :  (m2_subset_1(F, k1_zfmisc_1(k1_euclid(B)), k4_chain_1(B, C, k1_nat_1(D, 1))) &  (A=F & r1_tarski(E, F)) ) ) ) ) ) ).
fof(fraenkel_a_4_1_chain_1, axiom,  (! [A, B, C, D, E] :  ( ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  &  (m1_chain_1(C, B) &  (v7_ordinal1(D) & m1_subset_1(E, k1_zfmisc_1(k4_chain_1(B, C, k1_nat_1(D, 1))))) ) )  =>  (r2_hidden(A, a_4_1_chain_1(B, C, D, E)) <=>  (? [F] :  (m2_subset_1(F, k1_zfmisc_1(k1_euclid(B)), k4_chain_1(B, C, D)) &  (A=F &  (r1_xxreal_0(k1_nat_1(D, 1), B) &  ~ (v1_abian(k4_card_1(k9_subset_1(k4_chain_1(B, C, k1_nat_1(D, 1)), k9_chain_1(B, C, D, F), E)))) ) ) ) ) ) ) ) ).
fof(fraenkel_a_0_0_chain_1, axiom,  (! [A] :  (r2_hidden(A, a_0_0_chain_1) <=>  (? [B, C] :  ( (m1_subset_1(B, f2_s1_chain_1) & m1_subset_1(C, f2_s1_chain_1))  &  (A=f3_s1_chain_1(B, C) & p1_s1_chain_1(B, C)) ) ) ) ) ).
fof(cc1_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v4_glib_000(A)) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_chord(A)) ) ) ) ) ) ) ).
fof(rc1_chord, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v4_glib_000(A) &  (v7_glib_000(A) & v2_chord(A)) ) ) ) ) ) ) ) ).
fof(rc2_chord, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  ( ~ (v4_glib_000(A))  &  (v7_glib_000(A) & v2_chord(A)) ) ) ) ) ) ) ) ) ).
fof(rc3_chord, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v4_glib_000(A) & v6_chord(A)) ) ) ) ) ) ) ) ).
fof(rc4_chord, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  ( ~ (v4_glib_000(A))  &  (v7_glib_000(A) & v6_chord(A)) ) ) ) ) ) ) ) ) ).
fof(cc2_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_chord(A)) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v6_chord(A)) ) ) ) ) ) ) ).
fof(cc3_chord, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v6_chord(A)) ) ) ) )  =>  (! [C] :  (m2_glib_000(C, A, B, k21_glib_000(A, B)) => v6_chord(C)) ) ) ) ).
fof(cc4_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m3_chord(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(rc5_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) & v6_chord(A)) ) ) ) ) )  =>  (? [B] :  (m3_chord(B, A) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k6_glib_000(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) & v7_chord(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_chord, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (v7_ordinal1(k6_xcmplx_0(A, 1)) & r1_xxreal_0(1, A)) ) ) ).
fof(t2_chord, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_abian(A)) )  =>  (v7_ordinal1(k6_xcmplx_0(A, 1)) & r1_xxreal_0(1, A)) ) ) ).
fof(t3_chord, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v1_abian(A)) )  =>  (! [B] :  ( (v1_int_1(B) &  ~ (v1_abian(B)) )  =>  ( ~ (r1_xxreal_0(B, A))  => r1_xxreal_0(A, k6_xcmplx_0(B, 2))) ) ) ) ) ).
fof(t4_chord, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v1_abian(A)) )  =>  (! [B] :  ( (v1_int_1(B) &  ~ (v1_abian(B)) )  =>  ( ~ (r1_xxreal_0(A, B))  => r1_xxreal_0(k2_xcmplx_0(B, 2), A)) ) ) ) ) ).
fof(t5_chord, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_abian(A)) )  =>  ~ ( ( ~ (1=A)  &  (! [B] :  ( (v7_ordinal1(B) &  ~ (v1_abian(B)) )  =>  ~ (k1_nat_1(B, 2)=A) ) ) ) ) ) ) ).
fof(t6_chord, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_abian(A)) )  =>  (r1_xxreal_0(A, 2) => A=1) ) ) ).
fof(t7_chord, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_abian(A)) )  =>  ~ ( (r1_xxreal_0(A, 4) &  ( ~ (A=1)  &  ~ (A=3) ) ) ) ) ) ).
fof(t8_chord, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_abian(A)) )  =>  ~ ( (r1_xxreal_0(A, 6) &  ( ~ (A=1)  &  ( ~ (A=3)  &  ~ (A=5) ) ) ) ) ) ) ).
fof(t9_chord, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_abian(A)) )  =>  ~ ( (r1_xxreal_0(A, 8) &  ( ~ (A=1)  &  ( ~ (A=3)  &  ( ~ (A=5)  &  ~ (A=7) ) ) ) ) ) ) ) ).
fof(t10_chord, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_abian(A))  =>  (r1_xxreal_0(A, 1) => A=k5_numbers) ) ) ).
fof(t11_chord, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_abian(A))  =>  ~ ( (r1_xxreal_0(A, 3) &  ( ~ (A=k5_numbers)  &  ~ (A=2) ) ) ) ) ) ).
fof(t12_chord, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_abian(A))  =>  ~ ( (r1_xxreal_0(A, 5) &  ( ~ (A=k5_numbers)  &  ( ~ (A=2)  &  ~ (A=4) ) ) ) ) ) ) ).
fof(t13_chord, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_abian(A))  =>  ~ ( (r1_xxreal_0(A, 7) &  ( ~ (A=k5_numbers)  &  ( ~ (A=2)  &  ( ~ (A=4)  &  ~ (A=6) ) ) ) ) ) ) ) ).
fof(t14_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  ( (v2_funct_1(A) & r1_xxreal_0(B, k3_finseq_1(A)))  => k4_finseq_4(A, k1_funct_1(A, B))=B) ) ) ) ) ).
fof(t15_chord, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k10_xtuple_0(A))))  =>  (? [C] :  (r2_tarski(C, B) &  (! [D] :  (r2_tarski(D, B) => r1_xxreal_0(k4_finseq_4(A, C), k4_finseq_4(A, D))) ) ) ) ) ) ) ) ).
fof(d1_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) => k1_chord(A, B)=k10_xtuple_0(k4_finseq_6(A, B, k3_finseq_1(A)))) ) ) ) ).
fof(t16_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  ( (r2_tarski(B, k10_xtuple_0(A)) &  (r2_tarski(C, k4_finseq_1(A)) & v2_funct_1(A)) )  =>  (r2_tarski(B, k1_chord(A, C)) <=> r1_xxreal_0(C, k4_finseq_4(A, B))) ) ) ) ) ) ) ).
fof(t17_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (A=k7_finseq_1(k9_finseq_1(C), B) =>  (! [D] :  ( (v7_ordinal1(D) &  ~ (v8_ordinal1(D)) )  => k1_chord(A, k1_nat_1(D, 1))=k1_chord(B, D)) ) ) ) ) ) ) ) ).
fof(t18_chord, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (k3_finseq_1(k15_finseq_1(C))=k3_finseq_1(B) => k15_finseq_1(C)=B) ) ) ) ) ) ).
fof(t19_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k6_glib_000(A))) =>  (! [C] :  (m2_glib_000(C, A, B, k21_glib_000(A, B)) =>  (! [D] :  (! [E] :  ( (r2_hidden(D, B) & r2_hidden(E, B))  =>  (! [F] :  (r1_glib_000(A, D, E, F) => r1_glib_000(C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (v4_glib_001(B, A) <=> k3_finseq_1(B)=k1_nat_1(k2_nat_1(2, k4_card_1(k14_glib_001(A, B))), 1)) ) ) ) ) ).
fof(t21_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k6_glib_000(A))) =>  (! [C] :  (m2_glib_000(C, A, k6_subset_1(k6_glib_000(A), B), k21_glib_000(A, k6_subset_1(k6_glib_000(A), B))) =>  (! [D] :  (m3_glib_001(D, A) =>  ( (! [E] :  ( (v7_ordinal1(E) &  ~ (v1_abian(E)) )  =>  ~ ( (r1_xxreal_0(E, k3_finseq_1(D)) & r2_tarski(k1_funct_1(D, E), B)) ) ) )  => m3_glib_001(D, C)) ) ) ) ) ) ) ) ) ).
fof(t22_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  ( ~ (B=C)  =>  (! [D] :  (m3_glib_001(D, A) =>  ~ ( (k13_glib_001(A, D)=k2_tarski(B, C) &  (! [E] :  ~ (r1_glib_000(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k6_glib_000(A))))  =>  (! [C] :  (m2_glib_000(C, A, B, k21_glib_000(A, B)) =>  (! [D] :  (m3_glib_001(D, A) =>  (r1_tarski(k13_glib_001(A, D), B) => m3_glib_001(D, C)) ) ) ) ) ) ) ) ) ).
fof(t24_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (r5_glib_000(A, B) =>  (! [C] :  (m3_glib_001(C, A) =>  (! [D] :  (m3_glib_001(D, B) =>  ( (C=D & v8_glib_001(C, A))  => v8_glib_001(D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t25_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v5_glib_001(B, A) & m3_glib_001(B, A))  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v1_abian(C)) )  =>  (! [D] :  ( (v7_ordinal1(D) &  ~ (v1_abian(D)) )  =>  ~ ( (r1_xxreal_0(C, k3_finseq_1(B)) &  (r1_xxreal_0(D, k3_finseq_1(B)) &  (k1_funct_1(B, C)=k1_funct_1(B, D) &  ( ~ (C=D)  &  ( ~ ( (C=1 & D=k3_finseq_1(B)) )  &  ~ ( (C=k3_finseq_1(B) & D=1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v5_glib_001(B, A) & m3_glib_001(B, A))  =>  ( ~ (v1_glib_001(B, A))  =>  (! [C] :  (! [D] :  (! [E] :  ( (E=k3_glib_001(A, B) & r1_glib_000(A, C, E, D))  =>  (r2_tarski(C, k13_glib_001(A, B)) | v5_glib_001(k7_glib_001(A, k2_glib_001(A, C, E, D), B), A)) ) ) ) ) ) ) ) ) ) ).
fof(t27_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v5_glib_001(B, A) & m3_glib_001(B, A))  =>  (! [C] :  ( (v5_glib_001(C, A) & m3_glib_001(C, A))  =>  ( (r1_xboole_0(k14_glib_001(A, B), k14_glib_001(A, C)) &  (k9_subset_1(k6_glib_000(A), k13_glib_001(A, B), k13_glib_001(A, C))=k7_domain_1(k6_glib_000(A), k3_glib_001(A, B), k4_glib_001(A, B)) &  (k3_glib_001(A, C)=k4_glib_001(A, B) & k4_glib_001(A, C)=k3_glib_001(A, B)) ) )  =>  (v1_glib_001(B, A) |  (v3_glib_001(C, A) |  (v1_glib_001(C, A) | v8_glib_001(k7_glib_001(A, B, C), A)) ) ) ) ) ) ) ) ) ) ).
fof(t28_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m3_glib_001(C, A) =>  (k4_glib_001(A, B)=k3_glib_001(A, C) => k15_glib_001(A, k7_glib_001(A, B, C))=k1_nat_1(k15_glib_001(A, B), k15_glib_001(A, C))) ) ) ) ) ) ) ).
fof(t29_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k6_glib_000(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k6_glib_000(A))))  =>  (r1_tarski(C, B) =>  (! [D] :  (m2_glib_000(D, A, B, k21_glib_000(A, B)) =>  (! [E] :  (m2_glib_000(E, D, C, k21_glib_000(D, C)) => m2_glib_000(E, A, C, k21_glib_000(A, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k6_glib_000(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k6_glib_000(A))))  =>  (r1_tarski(C, B) =>  (! [D] :  (m2_glib_000(D, A, B, k21_glib_000(A, B)) =>  (! [E] :  (m2_glib_000(E, A, C, k21_glib_000(A, C)) => m2_glib_000(E, D, C, k21_glib_000(D, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k6_glib_000(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k6_glib_000(A))))  =>  (r1_tarski(C, B) =>  (! [D] :  (m2_glib_000(D, A, B, k21_glib_000(A, B)) => k21_glib_000(D, C)=k21_glib_000(A, C)) ) ) ) ) ) ) ) ) ).
fof(t32_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (v5_glib_001(B, A) =>  (v1_glib_001(B, A) | v6_glib_001(B, A)) ) ) ) ) ) ).
fof(t33_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v5_glib_001(B, A) & m3_glib_001(B, A))  =>  ~ ( ( ~ (v1_glib_001(B, A))  &  ( ~ (r1_xxreal_0(k3_finseq_1(B), 3))  &  (? [C] :  (r1_glib_000(A, k4_glib_001(A, B), k3_glib_001(A, B), C) &  ~ (v8_glib_001(k10_glib_001(A, B, C), A)) ) ) ) ) ) ) ) ) ) ).
fof(d2_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (v1_chord(B, A) <=>  (! [C] :  (m3_glib_001(C, A) =>  (r1_glib_001(A, k3_glib_001(A, B), k4_glib_001(A, B), C) => r1_xxreal_0(k3_finseq_1(B), k3_finseq_1(C))) ) ) ) ) ) ) ) ).
fof(t34_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m4_glib_001(C, A, B) =>  ( (k3_glib_001(A, C)=k3_glib_001(A, B) & k12_glib_001(A, C)=k12_glib_001(A, B))  => C=B) ) ) ) ) ) ) ).
fof(t35_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m4_glib_001(C, A, B) =>  (k3_finseq_1(C)=k3_finseq_1(B) => C=B) ) ) ) ) ) ) ).
fof(t36_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (v1_chord(B, A) => v5_glib_001(B, A)) ) ) ) ) ).
fof(t38_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  ( (! [C] :  ( (v5_glib_001(C, A) & m3_glib_001(C, A))  =>  (r1_glib_001(A, k3_glib_001(A, B), k4_glib_001(A, B), C) => r1_xxreal_0(k3_finseq_1(B), k3_finseq_1(C))) ) )  => v1_chord(B, A)) ) ) ) ) ).
fof(t39_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (? [C] :  ( (v5_glib_001(C, A) & m3_glib_001(C, A))  &  (r1_glib_001(A, k3_glib_001(A, B), k4_glib_001(A, B), C) & v1_chord(C, A)) ) ) ) ) ) ) ).
fof(t40_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (v1_chord(B, A) =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v1_abian(C)) )  =>  (! [D] :  ( (v7_ordinal1(D) &  ~ (v1_abian(D)) )  =>  (r1_xxreal_0(D, k3_finseq_1(B)) =>  (r1_xxreal_0(D, k1_nat_1(C, 2)) |  (! [E] :  ~ (r1_glib_000(A, k1_funct_1(B, C), k1_funct_1(B, D), E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k6_glib_000(A))))  =>  (! [C] :  (m2_glib_000(C, A, B, k21_glib_000(A, B)) =>  (! [D] :  (m3_glib_001(D, C) =>  (v1_chord(D, C) =>  (! [E] :  ( (v7_ordinal1(E) &  ~ (v1_abian(E)) )  =>  (! [F] :  ( (v7_ordinal1(F) &  ~ (v1_abian(F)) )  =>  (r1_xxreal_0(F, k3_finseq_1(D)) =>  (r1_xxreal_0(F, k1_nat_1(E, 2)) |  (! [G] :  ~ (r1_glib_000(A, k1_funct_1(D, E), k1_funct_1(D, F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (v1_chord(B, A) =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v1_abian(C)) )  =>  (! [D] :  ( (v7_ordinal1(D) &  ~ (v1_abian(D)) )  =>  ( (r1_xxreal_0(C, D) & r1_xxreal_0(D, k3_finseq_1(B)))  => v1_chord(k8_glib_001(A, B, C, D), A)) ) ) ) ) ) ) ) ) ) ).
fof(t43_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (v1_glib_002(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k6_glib_000(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k6_glib_000(A))))  =>  ~ ( (r1_subset_1(B, C) &  (! [D] :  ( (v5_glib_001(D, A) & m3_glib_001(D, A))  =>  ~ ( (v1_chord(D, A) &  ( ~ (v3_glib_001(D, A))  &  (r2_tarski(k3_glib_001(A, D), B) &  (r2_tarski(k4_glib_001(A, D), C) &  (! [E] :  ( (v7_ordinal1(E) &  ~ (v1_abian(E)) )  =>  ~ ( ( ~ (r1_xxreal_0(E, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(D), E))  &  ~ ( ( ~ (r2_tarski(k1_funct_1(D, E), B))  &  ~ (r2_tarski(k1_funct_1(D, E), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (r1_chord(A, B, C) <=>  (? [D] : r1_glib_000(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t44_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (r5_glib_000(A, B) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(A)) =>  (r1_chord(A, C, D) =>  (! [E] :  (m1_subset_1(E, k6_glib_000(B)) =>  (! [F] :  (m1_subset_1(F, k6_glib_000(B)) =>  ( (C=E & D=F)  => r1_chord(B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k6_glib_000(A))))  =>  (! [C] :  (m2_glib_000(C, A, B, k21_glib_000(A, B)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(A)) =>  (! [E] :  (m1_subset_1(E, k6_glib_000(A)) =>  (! [F] :  (m1_subset_1(F, k6_glib_000(C)) =>  (! [G] :  (m1_subset_1(G, k6_glib_000(C)) =>  ( (D=F & E=G)  =>  (r1_chord(A, D, E) <=> r1_chord(C, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  ~ ( ( ~ (k3_glib_001(A, B)=k4_glib_001(A, B))  &  ( ~ (r1_chord(A, k3_glib_001(A, B), k4_glib_001(A, B)))  &  ~ (r1_xxreal_0(2, k15_glib_001(A, B))) ) ) ) ) ) ) ) ).
fof(t47_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(A)) =>  ~ ( ( ~ (B=C)  &  ( ~ (B=D)  &  ( ~ (C=D)  &  (r1_chord(A, B, C) &  (r1_chord(A, C, D) &  (! [E] :  ( (v5_glib_001(E, A) & m3_glib_001(E, A))  =>  (! [F] :  (! [G] :  ~ ( ( ~ (v1_glib_001(E, A))  &  (k3_finseq_1(E)=5 &  (k15_glib_001(A, E)=2 &  (r1_glib_000(A, B, C, F) &  (r1_glib_000(A, C, D, G) &  (k14_glib_001(A, E)=k2_tarski(F, G) &  (k13_glib_001(A, E)=k1_enumset1(B, C, D) &  (k1_funct_1(E, 1)=B &  (k1_funct_1(E, 3)=C & k1_funct_1(E, 5)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(A)) =>  (! [E] :  (m1_subset_1(E, k6_glib_000(A)) =>  ~ ( ( ~ (B=C)  &  ( ~ (B=D)  &  ( ~ (C=D)  &  ( ~ (C=E)  &  ( ~ (D=E)  &  (r1_chord(A, B, C) &  (r1_chord(A, C, D) &  (r1_chord(A, D, E) &  (! [F] :  ( (v5_glib_001(F, A) & m3_glib_001(F, A))  =>  ~ ( (k3_finseq_1(F)=7 &  (k15_glib_001(A, F)=3 &  (k13_glib_001(A, F)=k2_enumset1(B, C, D, E) &  (k1_funct_1(F, 1)=B &  (k1_funct_1(F, 3)=C &  (k1_funct_1(F, 5)=D & k1_funct_1(F, 7)=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  ~ ( (r2_tarski(C, k2_chord(A, B)) & r2_tarski(C, B)) ) ) ) ) ) ).
fof(t50_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (r2_tarski(C, k2_chord(A, B)) <=>  ( ~ (r2_tarski(C, B))  &  (? [D] :  (m1_subset_1(D, k6_glib_000(A)) &  (r2_tarski(D, B) & r1_chord(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t51_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (r5_glib_000(A, B) =>  (! [C] : k2_chord(A, C)=k2_chord(B, C)) ) ) ) ) ) ).
fof(t52_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (r2_tarski(B, k2_chord(A, k6_domain_1(k6_glib_000(A), C))) <=>  ( ~ (B=C)  & r1_chord(A, C, B)) ) ) ) ) ) ) ) ).
fof(t53_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (r2_tarski(B, k2_chord(A, k1_tarski(C))) <=> r2_tarski(C, k2_chord(A, k1_tarski(B)))) ) ) ) ) ).
fof(t54_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v5_glib_001(B, A) & m3_glib_001(B, A))  =>  (v8_glib_001(B, A) =>  (r1_xxreal_0(k15_glib_001(A, B), 3) |  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  ~ ( (r2_tarski(C, k13_glib_001(A, B)) &  (! [D] :  ( (v7_ordinal1(D) &  ~ (v1_abian(D)) )  =>  (! [E] :  ( (v7_ordinal1(E) &  ~ (v1_abian(E)) )  =>  ~ ( ( ~ (r1_xxreal_0(E, k1_nat_1(D, 2)))  &  (r1_xxreal_0(E, k3_finseq_1(B)) &  ( ~ ( (D=1 & E=k3_finseq_1(B)) )  &  ( ~ ( (D=1 & E=k6_xcmplx_0(k3_finseq_1(B), 2)) )  &  ( ~ ( (D=3 & E=k3_finseq_1(B)) )  &  ( ~ (k1_funct_1(B, D)=k1_funct_1(B, E))  &  (r2_tarski(k1_funct_1(B, D), k2_chord(A, k6_domain_1(k6_glib_000(A), C))) & r2_tarski(k1_funct_1(B, E), k2_chord(A, k6_domain_1(k6_glib_000(A), C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v5_glib_001(B, A) & m3_glib_001(B, A))  =>  (v8_glib_001(B, A) =>  (r1_xxreal_0(k15_glib_001(A, B), 3) |  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  ~ ( (r2_tarski(C, k13_glib_001(A, B)) &  (! [D] :  ( (v7_ordinal1(D) &  ~ (v1_abian(D)) )  =>  (! [E] :  ( (v7_ordinal1(E) &  ~ (v1_abian(E)) )  =>  ~ ( ( ~ (r1_xxreal_0(E, k1_nat_1(D, 2)))  &  (r1_xxreal_0(E, k3_finseq_1(B)) &  ( ~ (k1_funct_1(B, D)=k1_funct_1(B, E))  &  (r2_tarski(k1_funct_1(B, D), k2_chord(A, k6_domain_1(k6_glib_000(A), C))) &  (r2_tarski(k1_funct_1(B, E), k2_chord(A, k6_domain_1(k6_glib_000(A), C))) &  (! [F] :  ~ ( (r2_hidden(F, k14_glib_001(A, B)) & r1_glib_000(A, k1_funct_1(B, D), k1_funct_1(B, E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (k2_chord(A, k6_domain_1(k6_glib_000(A), B))=k1_xboole_0 <=> v10_glib_000(B, A)) ) ) ) ) ).
fof(t57_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k6_glib_000(A))))  =>  (! [D] :  (m1_subset_1(D, k6_glib_000(A)) =>  (! [E] :  (m2_glib_000(E, A, C, k21_glib_000(A, C)) =>  (! [F] :  (m2_glib_000(F, A, k4_subset_1(k6_glib_000(A), C, k6_domain_1(k6_glib_000(A), D)), k21_glib_000(A, k4_subset_1(k6_glib_000(A), C, k6_domain_1(k6_glib_000(A), D)))) =>  ( (v1_glib_002(E) & r2_tarski(D, k2_chord(A, k24_glib_000(A, E))))  => v1_glib_002(F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k6_glib_000(A))))  =>  (! [C] :  (m2_glib_000(C, A, B, k21_glib_000(A, B)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(A)) =>  ( (r2_tarski(D, B) & r1_tarski(k2_chord(A, k6_domain_1(k6_glib_000(A), D)), B))  =>  (! [E] :  (m1_subset_1(E, k6_glib_000(C)) =>  (D=E => k2_chord(A, k6_domain_1(k6_glib_000(A), D))=k2_chord(C, k6_domain_1(k6_glib_000(C), E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (m1_glib_000(C, A) =>  (m1_subset_1(B, k1_zfmisc_1(k6_glib_000(A))) =>  (m1_chord(C, A, B) <=> m2_glib_000(C, A, k2_chord(A, B), k21_glib_000(A, k2_chord(A, B)))) ) ) ) ) ) ) ).
fof(t59_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (r5_glib_000(A, B) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(B)) =>  (C=D =>  (! [E] :  (m1_chord(E, A, k6_domain_1(k6_glib_000(A), C)) =>  (! [F] :  (m1_chord(F, B, k6_domain_1(k6_glib_000(B), D)) => r5_glib_000(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k6_glib_000(A))))  =>  (! [C] :  (m2_glib_000(C, A, B, k21_glib_000(A, B)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(A)) =>  ( (r2_tarski(D, B) & r1_tarski(k2_chord(A, k6_domain_1(k6_glib_000(A), D)), B))  =>  (k2_chord(A, k6_domain_1(k6_glib_000(A), D))=k1_xboole_0 |  (! [E] :  (m1_subset_1(E, k6_glib_000(C)) =>  (D=E =>  (! [F] :  (m1_chord(F, A, k6_domain_1(k6_glib_000(A), D)) =>  (! [G] :  (m1_chord(G, C, k6_domain_1(k6_glib_000(C), E)) => r5_glib_000(F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (v2_chord(A) <=>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  ( ~ (B=C)  => r1_chord(A, B, C)) ) ) ) ) ) ) ) ).
fof(t61_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (v4_glib_000(A) => v2_chord(A)) ) ) ).
fof(t62_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  ( (r5_glib_000(A, B) & v2_chord(A))  => v2_chord(B)) ) ) ) ) ).
fof(t63_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_chord(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k6_glib_000(A))) =>  (! [C] :  (m2_glib_000(C, A, B, k21_glib_000(A, B)) => v2_chord(C)) ) ) ) ) ) ).
fof(d7_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (v3_chord(B, A) <=>  ( ~ (k2_chord(A, k6_domain_1(k6_glib_000(A), B))=k1_xboole_0)  =>  (! [C] :  (m1_chord(C, A, k6_domain_1(k6_glib_000(A), B)) => v2_chord(C)) ) ) ) ) ) ) ) ).
fof(t64_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_chord(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) => v3_chord(B, A)) ) ) ) ).
fof(t65_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v4_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) => v3_chord(B, A)) ) ) ) ).
fof(t66_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (r5_glib_000(A, B) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(B)) =>  ( (C=D & v3_chord(C, A))  => v3_chord(D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t67_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k6_glib_000(A))))  =>  (! [C] :  (m2_glib_000(C, A, B, k21_glib_000(A, B)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(A)) =>  ( (r2_tarski(D, B) & r1_tarski(k2_chord(A, k6_domain_1(k6_glib_000(A), D)), B))  =>  (! [E] :  (m1_subset_1(E, k6_glib_000(C)) =>  (D=E =>  (v3_chord(D, A) <=> v3_chord(E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (v3_chord(B, A) =>  (! [C] :  (! [D] :  ~ ( ( ~ (C=D)  &  (r2_hidden(C, k2_chord(A, k6_domain_1(k6_glib_000(A), B))) &  (r2_hidden(D, k2_chord(A, k6_domain_1(k6_glib_000(A), B))) &  (! [E] :  ~ (r1_glib_000(A, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t69_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  ~ ( ( ~ (v3_chord(B, A))  &  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(A)) =>  ~ ( ( ~ (C=D)  &  ( ~ (B=C)  &  ( ~ (B=D)  &  (r1_chord(A, B, C) &  (r1_chord(A, B, D) &  ~ (r1_chord(A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  ~ ( ( ~ (B=C)  &  ( ~ (r1_chord(A, B, C))  &  ~ ( (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k6_glib_000(A))) =>  (m2_chord(D, A, B, C) <=>  ( ~ (r2_tarski(B, D))  &  ( ~ (r2_tarski(C, D))  &  (! [E] :  (m2_glib_000(E, A, k6_subset_1(k6_glib_000(A), D), k21_glib_000(A, k6_subset_1(k6_glib_000(A), D))) =>  (! [F] :  (m3_glib_001(F, E) =>  ~ (r1_glib_001(E, B, C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  ~ ( ( ~ (B=C)  &  ( ~ (r1_chord(A, B, C))  &  ~ ( (! [D] :  (m2_chord(D, A, B, C) => m2_chord(D, A, C, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  ~ ( ( ~ (B=C)  &  ( ~ (r1_chord(A, B, C))  &  ~ ( (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k6_glib_000(A))) =>  (m2_chord(D, A, B, C) <=>  ( ~ (r2_tarski(B, D))  &  ( ~ (r2_tarski(C, D))  &  (! [E] :  (m3_glib_001(E, A) =>  ~ ( (r1_glib_001(A, B, C, E) &  (! [F] :  (m1_subset_1(F, k6_glib_000(A)) =>  ~ ( (r2_tarski(F, D) & r2_tarski(F, k13_glib_001(A, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t72_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  ~ ( ( ~ (B=C)  &  ( ~ (r1_chord(A, B, C))  &  (? [D] :  (m2_chord(D, A, B, C) &  (? [E] :  (m3_glib_001(E, A) &  (r1_glib_001(A, B, C, E) &  (! [F] :  ( (v7_ordinal1(F) &  ~ (v1_abian(F)) )  =>  ~ ( ( ~ (r1_xxreal_0(F, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(E), F))  & r2_tarski(k1_funct_1(E, F), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t73_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  ~ ( ( ~ (B=C)  &  ( ~ (r1_chord(A, B, C))  &  (? [D] :  (m2_chord(D, A, B, C) &  (D=k1_xboole_0 &  (? [E] :  (m3_glib_001(E, A) & r1_glib_001(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t74_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  ( (! [D] :  (m3_glib_001(D, A) =>  ~ (r1_glib_001(A, B, C, D)) ) )  =>  (B=C |  (r1_chord(A, B, C) | m2_chord(k1_xboole_0, A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t75_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  ~ ( ( ~ (B=C)  &  ( ~ (r1_chord(A, B, C))  &  ~ ( (! [D] :  (m2_chord(D, A, B, C) =>  (! [E] :  (m2_glib_000(E, A, k6_subset_1(k6_glib_000(A), D), k21_glib_000(A, k6_subset_1(k6_glib_000(A), D))) =>  (! [F] :  (m1_subset_1(F, k6_glib_000(E)) => k9_subset_1(k6_glib_000(A), k1_glib_002(E, F), D)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t76_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  ~ ( ( ~ (B=C)  &  ( ~ (r1_chord(A, B, C))  &  (? [D] :  (m2_chord(D, A, B, C) &  (? [E] :  (m2_glib_000(E, A, k6_subset_1(k6_glib_000(A), D), k21_glib_000(A, k6_subset_1(k6_glib_000(A), D))) &  (? [F] :  (m1_subset_1(F, k6_glib_000(E)) &  (? [G] :  (m1_subset_1(G, k6_glib_000(E)) &  (F=B &  (G=C &  ~ (k9_subset_1(k6_glib_000(E), k1_glib_002(E, F), k1_glib_002(E, G))=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t77_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  ~ ( ( ~ (B=C)  &  ( ~ (r1_chord(A, B, C))  &  ~ ( (! [D] :  (m2_chord(D, A, B, C) =>  (! [E] :  (m2_glib_000(E, A, k6_subset_1(k6_glib_000(A), D), k21_glib_000(A, k6_subset_1(k6_glib_000(A), D))) =>  (m1_subset_1(B, k6_glib_000(E)) & m1_subset_1(C, k6_glib_000(E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m2_chord(D, A, B, C) =>  (v4_chord(D, A, B, C) <=>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(D)) =>  ~ ( ( ~ (E=D)  & m2_chord(E, A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t78_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m2_chord(D, A, B, C) =>  (D=k1_xboole_0 => v4_chord(D, A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t79_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (? [D] :  (m2_chord(D, A, B, C) & v4_chord(D, A, B, C)) ) ) ) ) ) ) ) ).
fof(t80_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  ~ ( ( ~ (B=C)  &  ( ~ (r1_chord(A, B, C))  &  (? [D] :  (m2_chord(D, A, B, C) &  (v4_chord(D, A, B, C) &  (? [E] :  (m2_chord(E, A, C, B) &  (D=E &  ~ (v4_chord(E, A, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t81_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  ~ ( ( ~ (B=C)  &  ( ~ (r1_chord(A, B, C))  &  (? [D] :  (m2_chord(D, A, B, C) &  (v4_chord(D, A, B, C) &  (? [E] :  (m1_subset_1(E, k6_glib_000(A)) &  (r2_tarski(E, D) &  (! [F] :  (m3_glib_001(F, A) =>  ~ ( (r1_glib_001(A, B, C, F) & r2_tarski(E, k13_glib_001(A, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t82_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  ~ ( ( ~ (B=C)  &  ( ~ (r1_chord(A, B, C))  &  (? [D] :  (m2_chord(D, A, B, C) &  (v4_chord(D, A, B, C) &  (? [E] :  (m2_glib_000(E, A, k6_subset_1(k6_glib_000(A), D), k21_glib_000(A, k6_subset_1(k6_glib_000(A), D))) &  (? [F] :  (m1_subset_1(F, k6_glib_000(E)) &  (F=B &  (? [G] :  (m1_subset_1(G, k6_glib_000(A)) &  (r2_tarski(G, D) &  (! [H] :  (m1_subset_1(H, k6_glib_000(A)) =>  ~ ( (r2_tarski(H, k1_glib_002(E, F)) & r1_chord(A, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t83_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  ~ ( ( ~ (B=C)  &  ( ~ (r1_chord(A, B, C))  &  (? [D] :  (m2_chord(D, A, B, C) &  (v4_chord(D, A, B, C) &  (? [E] :  (m2_glib_000(E, A, k6_subset_1(k6_glib_000(A), D), k21_glib_000(A, k6_subset_1(k6_glib_000(A), D))) &  (? [F] :  (m1_subset_1(F, k6_glib_000(E)) &  (F=C &  (? [G] :  (m1_subset_1(G, k6_glib_000(A)) &  (r2_tarski(G, D) &  (! [H] :  (m1_subset_1(H, k6_glib_000(A)) =>  ~ ( (r2_tarski(H, k1_glib_002(E, F)) & r1_chord(A, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (v5_chord(B, A) <=>  (? [C] :  ( (v7_ordinal1(C) &  ~ (v1_abian(C)) )  &  (? [D] :  ( (v7_ordinal1(D) &  ~ (v1_abian(D)) )  &  ( ~ (r1_xxreal_0(D, k1_nat_1(C, 2)))  &  (r1_xxreal_0(D, k3_finseq_1(B)) &  ( ~ (k1_funct_1(B, C)=k1_funct_1(B, D))  &  ( (? [E] : r1_glib_000(A, k1_funct_1(B, C), k1_funct_1(B, D), E))  &  (! [E] :  ~ ( (r2_hidden(E, k14_glib_001(A, B)) & r1_glib_000(A, k1_funct_1(B, C), k1_funct_1(B, D), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t84_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  ~ ( (v5_chord(B, A) &  (! [C] :  ( (v7_ordinal1(C) &  ~ (v1_abian(C)) )  =>  (! [D] :  ( (v7_ordinal1(D) &  ~ (v1_abian(D)) )  =>  ~ ( ( ~ (r1_xxreal_0(D, k1_nat_1(C, 2)))  &  (r1_xxreal_0(D, k3_finseq_1(B)) &  ( ~ (k1_funct_1(B, C)=k1_funct_1(B, D))  &  ( (? [E] : r1_glib_000(A, k1_funct_1(B, C), k1_funct_1(B, D), E))  &  (v8_glib_001(B, A) =>  ( ~ ( (C=1 & D=k3_finseq_1(B)) )  &  ( ~ ( (C=1 & D=k6_xcmplx_0(k3_finseq_1(B), 2)) )  &  ~ ( (C=3 & D=k3_finseq_1(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t85_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v5_glib_001(B, A) & m3_glib_001(B, A))  =>  ( (? [C] :  ( (v7_ordinal1(C) &  ~ (v1_abian(C)) )  &  (? [D] :  ( (v7_ordinal1(D) &  ~ (v1_abian(D)) )  &  ( ~ (r1_xxreal_0(D, k1_nat_1(C, 2)))  &  (r1_xxreal_0(D, k3_finseq_1(B)) &  ( (? [E] : r1_glib_000(A, k1_funct_1(B, C), k1_funct_1(B, D), E))  &  (v8_glib_001(B, A) =>  ( ~ ( (C=1 & D=k3_finseq_1(B)) )  &  ( ~ ( (C=1 & D=k6_xcmplx_0(k3_finseq_1(B), 2)) )  &  ~ ( (C=3 & D=k3_finseq_1(B)) ) ) ) ) ) ) ) ) ) ) )  => v5_chord(B, A)) ) ) ) ) ).
fof(t86_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (r5_glib_000(A, B) =>  (! [C] :  (m3_glib_001(C, A) =>  (! [D] :  (m3_glib_001(D, B) =>  ( (C=D & v5_chord(C, A))  => v5_chord(D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t87_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k6_glib_000(A))))  =>  (! [C] :  (m2_glib_000(C, A, B, k21_glib_000(A, B)) =>  (! [D] :  (m3_glib_001(D, A) =>  (! [E] :  (m3_glib_001(E, C) =>  (D=E =>  (v5_chord(E, C) <=> v5_chord(D, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t88_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  ~ ( (v8_glib_001(B, A) &  (v5_chord(B, A) &  (k15_glib_001(A, B)=4 &  (! [C] :  ( ~ (r1_glib_000(A, k1_funct_1(B, 1), k1_funct_1(B, 5), C))  &  ~ (r1_glib_000(A, k1_funct_1(B, 3), k1_funct_1(B, 7), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t89_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  ~ ( (v1_chord(B, A) & v5_chord(B, A)) ) ) ) ) ) ).
fof(t90_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  ~ ( (k3_finseq_1(B)=5 &  ( ~ (r1_chord(A, k3_glib_001(A, B), k4_glib_001(A, B)))  & v5_chord(B, A)) ) ) ) ) ) ) ).
fof(t91_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (v5_chord(B, A) <=> v5_chord(k6_glib_001(A, B), A)) ) ) ) ) ).
fof(t92_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v5_glib_001(B, A) & m3_glib_001(B, A))  =>  ~ ( ( ~ (v1_glib_001(B, A))  &  ( ~ (v5_chord(B, A))  &  (? [C] :  ( (v7_ordinal1(C) &  ~ (v1_abian(C)) )  &  (? [D] :  ( (v7_ordinal1(D) &  ~ (v1_abian(D)) )  &  ( ~ (r1_xxreal_0(D, C))  &  (r1_xxreal_0(D, k3_finseq_1(B)) &  ~ ( ( (? [E] : r1_glib_000(A, k1_funct_1(B, C), k1_funct_1(B, D), E))  <=> k1_nat_1(C, 2)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t93_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v5_glib_001(B, A) & m3_glib_001(B, A))  =>  ~ ( ( ~ (v1_glib_001(B, A))  &  ( ~ (v5_chord(B, A))  &  (? [C] :  ( (v7_ordinal1(C) &  ~ (v1_abian(C)) )  &  (? [D] :  ( (v7_ordinal1(D) &  ~ (v1_abian(D)) )  &  ( ~ (r1_xxreal_0(D, C))  &  (r1_xxreal_0(D, k3_finseq_1(B)) &  ~ ( ( ~ (v5_chord(k8_glib_001(A, B, C, D), A))  &  ~ (v1_glib_001(k8_glib_001(A, B, C, D), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t94_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k6_glib_000(A))))  =>  (! [C] :  (m2_glib_000(C, A, B, k21_glib_000(A, B)) =>  (! [D] :  (m3_glib_001(D, A) =>  (! [E] :  (m3_glib_001(E, C) =>  (D=E =>  ( ~ ( ( ~ (v5_chord(D, A))  & v5_chord(E, C)) )  &  ~ ( ( ~ (v5_chord(E, C))  & v5_chord(D, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (v6_chord(A) <=>  (! [B] :  (m3_glib_001(B, A) =>  (v8_glib_001(B, A) =>  (r1_xxreal_0(k15_glib_001(A, B), 3) | v5_chord(B, A)) ) ) ) ) ) ) ).
fof(t95_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  ( (r5_glib_000(A, B) & v6_chord(A))  => v6_chord(B)) ) ) ) ) ).
fof(t96_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (r1_xxreal_0(k4_card_1(k6_glib_000(A)), 3) => v6_chord(A)) ) ) ).
fof(t97_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v6_chord(A)) ) ) ) )  =>  (! [B] :  ( (v5_glib_001(B, A) & m3_glib_001(B, A))  =>  ~ ( ( ~ (v1_glib_001(B, A))  &  ( ~ (v5_chord(B, A))  &  (? [C] :  (? [D] :  ( ~ (r2_hidden(C, k13_glib_001(A, B)))  &  (r1_glib_000(A, k4_glib_001(A, B), C, D) &  ( (! [E] :  ~ (r1_glib_000(A, k1_funct_1(B, k6_xcmplx_0(k3_finseq_1(B), 2)), C, E)) )  &  ~ ( (v5_glib_001(k10_glib_001(A, B, D), A) &  ( ~ (v1_glib_001(k10_glib_001(A, B, D), A))  &  ~ (v5_chord(k10_glib_001(A, B, D), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t98_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v6_chord(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  ~ ( ( ~ (B=C)  &  ( ~ (r1_chord(A, B, C))  &  (? [D] :  (m2_chord(D, A, B, C) &  (v4_chord(D, A, B, C) &  ( ~ (v1_xboole_0(D))  &  ~ ( (! [E] :  (m2_glib_000(E, A, D, k21_glib_000(A, D)) => v2_chord(E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t99_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  ( (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  ~ ( ( ~ (B=C)  &  ( ~ (r1_chord(A, B, C))  &  (? [D] :  (m2_chord(D, A, B, C) &  (v4_chord(D, A, B, C) &  ( ~ (v1_xboole_0(D))  &  ~ ( (! [E] :  (m2_glib_000(E, A, D, k21_glib_000(A, D)) => v2_chord(E)) ) ) ) ) ) ) ) ) ) ) ) ) )  => v6_chord(A)) ) ) ).
fof(t100_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) & v6_chord(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  ~ ( ( ~ (B=C)  &  ( ~ (r1_chord(A, B, C))  &  (? [D] :  (m2_chord(D, A, B, C) &  (v4_chord(D, A, B, C) &  (? [E] :  (m2_glib_000(E, A, k6_subset_1(k6_glib_000(A), D), k21_glib_000(A, k6_subset_1(k6_glib_000(A), D))) &  (? [F] :  (m1_subset_1(F, k6_glib_000(E)) &  (B=F &  (! [G] :  (m1_subset_1(G, k6_glib_000(A)) =>  ~ ( (r2_tarski(G, k1_glib_002(E, F)) &  (! [H] :  (m1_subset_1(H, k6_glib_000(A)) =>  (r2_tarski(H, D) => r1_chord(A, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t101_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) & v6_chord(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  ~ ( ( ~ (B=C)  &  ( ~ (r1_chord(A, B, C))  &  (? [D] :  (m2_chord(D, A, B, C) &  (v4_chord(D, A, B, C) &  (? [E] :  (m2_glib_000(E, A, k6_subset_1(k6_glib_000(A), D), k21_glib_000(A, k6_subset_1(k6_glib_000(A), D))) &  (? [F] :  (m1_subset_1(F, k6_glib_000(E)) &  (B=F &  (? [G] :  (m1_subset_1(G, k6_glib_000(A)) &  (? [H] :  (m1_subset_1(H, k6_glib_000(A)) &  (r2_tarski(G, D) &  (r2_tarski(H, D) &  (! [I] :  (m1_subset_1(I, k6_glib_000(A)) =>  ~ ( (r2_tarski(I, k1_glib_002(E, F)) &  (r1_chord(A, I, G) & r1_chord(A, I, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t102_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  ( ~ (v4_glib_000(A))  & v6_chord(A)) ) ) ) ) ) )  =>  ~ ( ( ~ (v2_chord(A))  &  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  ~ ( ( ~ (B=C)  &  ( ~ (r1_chord(A, B, C))  &  (v3_chord(B, A) & v3_chord(C, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t103_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) & v6_chord(A)) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k6_glib_000(A)) & v3_chord(B, A)) ) ) ) ).
fof(d12_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, k6_glib_000(A)) =>  (m3_chord(B, A) <=>  (v2_funct_1(B) & k10_xtuple_0(B)=k6_glib_000(A)) ) ) ) ) ) ).
fof(t104_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m3_chord(B, A) => k3_finseq_1(B)=k4_card_1(k6_glib_000(A))) ) ) ) ).
fof(t105_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m3_chord(B, A) => r1_xxreal_0(1, k3_finseq_1(B))) ) ) ) ).
fof(t106_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) & v2_glib_000(B)) ) ) ) )  =>  (! [C] :  (m3_chord(C, A) =>  (r5_glib_000(A, B) => m3_chord(C, B)) ) ) ) ) ) ) ).
fof(t107_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m3_chord(B, A) =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  ~ ( (r1_xxreal_0(C, k3_finseq_1(B)) & v1_xboole_0(k4_chord(A, B, C))) ) ) ) ) ) ) ) ).
fof(d13_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m3_chord(B, A) =>  (v7_chord(B, A) <=>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (r1_xxreal_0(C, k3_finseq_1(B)) =>  (! [D] :  (m2_glib_000(D, A, k4_chord(A, B, C), k21_glib_000(A, k4_chord(A, B, C))) =>  (! [E] :  (m1_subset_1(E, k6_glib_000(D)) =>  (E=k1_funct_1(B, C) => v3_chord(E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t108_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) & v4_glib_000(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (? [C] :  (m3_chord(C, A) &  (C=k12_finseq_1(k6_glib_000(A), B) & v7_chord(C, A)) ) ) ) ) ) ) ).
fof(t109_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m3_chord(B, A) =>  (v7_chord(B, A) <=>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(A)) =>  (! [E] :  (m1_subset_1(E, k6_glib_000(A)) =>  ( (r1_chord(A, C, D) & r1_chord(A, C, E))  =>  (D=E |  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (v7_ordinal1(H) =>  ( (r2_tarski(F, k4_finseq_1(B)) &  (r2_tarski(G, k4_finseq_1(B)) &  (r2_tarski(H, k4_finseq_1(B)) &  (k1_funct_1(B, F)=C &  (k1_funct_1(B, G)=D & k1_funct_1(B, H)=E) ) ) ) )  =>  (r1_xxreal_0(G, F) |  (r1_xxreal_0(H, F) | r1_chord(A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t110_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) & v6_chord(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) &  (v2_glib_000(B) & v6_chord(B)) ) ) ) ) )  =>  (! [C] :  ( (v7_chord(C, A) & m3_chord(C, A))  =>  (r5_glib_000(A, B) =>  (v7_chord(C, B) & m3_chord(C, B)) ) ) ) ) ) ) ) ).
fof(t111_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  ( (? [B] :  (m3_chord(B, A) & v7_chord(B, A)) )  => v6_chord(A)) ) ) ).
fof(s1_chord, axiom,  ( (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ( (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) & v2_glib_000(B)) ) ) ) )  =>  ( ~ (r1_xxreal_0(A, k15_glib_000(B)))  => p1_s1_chord(B)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) & v2_glib_000(B)) ) ) ) )  =>  (k15_glib_000(B)=A => p1_s1_chord(B)) ) ) ) ) )  =>  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  => p1_s1_chord(A)) ) ) ).
fof(dt_k1_chord, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  & v7_ordinal1(B))  => v1_finset_1(k1_chord(A, B))) ) ).
fof(symmetry_r1_chord, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (m1_subset_1(B, k6_glib_000(A)) & m1_subset_1(C, k6_glib_000(A))) )  =>  (r1_chord(A, B, C) => r1_chord(A, C, B)) ) ) ).
fof(dt_k2_chord, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  => m1_subset_1(k2_chord(A, B), k1_zfmisc_1(k6_glib_000(A)))) ) ).
fof(dt_m1_chord, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [C] :  (m1_chord(C, A, B) => m1_glib_000(C, A)) ) ) ) ).
fof(existence_m1_chord, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (? [C] : m1_chord(C, A, B)) ) ) ).
fof(dt_m2_chord, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (m1_subset_1(B, k6_glib_000(A)) & m1_subset_1(C, k6_glib_000(A))) )  =>  (! [D] :  (m2_chord(D, A, B, C) => m1_subset_1(D, k1_zfmisc_1(k6_glib_000(A)))) ) ) ) ).
fof(existence_m2_chord, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (m1_subset_1(B, k6_glib_000(A)) & m1_subset_1(C, k6_glib_000(A))) )  =>  (? [D] : m2_chord(D, A, B, C)) ) ) ).
fof(dt_m3_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m3_chord(B, A) => m2_finseq_1(B, k6_glib_000(A))) ) ) ) ).
fof(existence_m3_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (? [B] : m3_chord(B, A)) ) ) ).
fof(dt_k3_chord, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  &  (m3_chord(B, A) & m1_subset_1(C, k6_glib_000(A))) )  =>  ( ~ (v8_ordinal1(k3_chord(A, B, C)))  & m1_subset_1(k3_chord(A, B, C), k4_ordinal1)) ) ) ).
fof(redefinition_k3_chord, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  &  (m3_chord(B, A) & m1_subset_1(C, k6_glib_000(A))) )  => k3_chord(A, B, C)=k4_finseq_4(B, C)) ) ).
fof(dt_k4_chord, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  &  (m3_chord(B, A) & v7_ordinal1(C)) )  => m1_subset_1(k4_chord(A, B, C), k1_zfmisc_1(k6_glib_000(A)))) ) ).
fof(redefinition_k4_chord, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  &  (m3_chord(B, A) & v7_ordinal1(C)) )  => k4_chord(A, B, C)=k1_chord(B, C)) ) ).
fof(d4_chord, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] : k2_chord(A, B)=a_2_0_chord(A, B)) ) ) ).
fof(fraenkel_a_2_0_chord, axiom,  (! [A, B, C] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (r2_hidden(A, a_2_0_chord(B, C)) <=>  (? [D] :  (m1_subset_1(D, k6_glib_000(B)) &  (A=D &  ( ~ (r2_tarski(D, C))  &  (? [E] :  (m1_subset_1(E, k6_glib_000(B)) &  (r2_tarski(E, C) & r1_chord(B, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(fc1_circcmb2, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_2(A, k5_margrel1), k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A, k5_margrel1), k5_margrel1)))) )  &  (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) ) ) )  =>  (v3_msualg_1(k7_circcomb(A, k5_margrel1, B, C), k5_circcomb(B, C)) &  (v4_msualg_1(k7_circcomb(A, k5_margrel1, B, C), k5_circcomb(B, C)) & v6_circcomb(k7_circcomb(A, k5_margrel1, B, C), k5_circcomb(B, C))) ) ) ) ).
fof(t1_circcmb2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, B) & v1_finseq_1(C)) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(B, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(B, A), A)))) )  =>  (! [E] :  (m1_subset_1(E, u4_struct_0(k5_circcomb(D, C))) =>  (! [F] :  (m1_subset_1(F, k4_card_3(u3_msualg_1(k5_circcomb(D, C), k7_circcomb(B, A, D, C)))) => k3_circuit1(k5_circcomb(D, C), k7_circcomb(B, A, D, C), F, E)=k3_relat_1(C, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_circcmb2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, B) & v1_finseq_1(C)) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(B, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(B, A), A)))) )  =>  (! [E] :  (m1_subset_1(E, k4_card_3(u3_msualg_1(k5_circcomb(D, C), k7_circcomb(B, A, D, C)))) => v1_circuit2(k6_circuit2(k5_circcomb(D, C), k7_circcomb(B, A, D, C), E), k5_circcomb(D, C), k7_circcomb(B, A, D, C))) ) ) ) ) ) ) ) ) ) ).
fof(t3_circcmb2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) =>  (v1_circuit2(C, A, B) =>  (! [D] :  (v7_ordinal1(D) => k5_facirc_1(A, B, C, D)=C) ) ) ) ) ) ) ) ) ).
fof(t4_circcmb2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (v1_circuit2(k5_facirc_1(A, B, C, D), A, B) & r1_xxreal_0(D, E))  => k5_facirc_1(A, B, C, E)=k5_facirc_1(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_circcmb2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (r1_circcomb(A, B) => k2_msafree2(k2_circcomb(A, B))=k2_xboole_0(k4_xboole_0(k2_msafree2(A), k3_msafree2(B)), k4_xboole_0(k2_msafree2(B), k3_msafree2(A)))) ) ) ) ) ).
fof(t6_circcmb2, axiom,  (! [A] :  ( ~ (v1_facirc_1(A))  =>  (! [B] :  (v1_relat_1(B) => k4_xboole_0(A, B)=A) ) ) ) ).
fof(t7_circcmb2, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (r1_tarski(C, B) =>  (v1_facirc_1(k4_xboole_0(B, C)) | k4_xboole_0(A, B)=k4_xboole_0(A, C)) ) ) ) ) ) ).
fof(t8_circcmb2, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  (r1_tarski(B, C) =>  (v1_facirc_1(k4_xboole_0(A, B)) | k4_xboole_0(A, C)=k4_xboole_0(A, B)) ) ) ) ) ) ).
fof(d1_circcmb2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (C=k1_circcmb2(A, B) <=> C=B) ) ) ) ) ) ) ).
fof(t9_circcmb2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_msafree2(C) & l1_msualg_1(C)) ) )  =>  ( (r1_xboole_0(k3_msafree2(A), k2_msafree2(B)) & C=k2_circcomb(A, B))  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree2(D, A) & l3_msualg_1(D, A)) )  =>  (! [E] :  ( (v4_msualg_1(E, B) &  (v4_msafree2(E, B) & l3_msualg_1(E, B)) )  =>  (! [F] :  ( (v4_msualg_1(F, C) &  (v4_msafree2(F, C) & l3_msualg_1(F, C)) )  =>  ( (r2_circcomb(A, B, D, E) & F=k3_circcomb(A, B, D, E))  =>  (! [G] :  (m1_subset_1(G, k4_card_3(u3_msualg_1(B, E))) =>  (! [H] :  (m1_subset_1(H, k4_card_3(u3_msualg_1(C, F))) =>  (G=k5_relat_1(H, u1_struct_0(B)) => k6_circuit2(B, E, G)=k5_relat_1(k6_circuit2(C, F, H), u1_struct_0(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_circcmb2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_msafree2(C) & l1_msualg_1(C)) ) )  =>  ( (r1_xboole_0(k2_msafree2(A), k3_msafree2(B)) & C=k2_circcomb(A, B))  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree2(D, A) & l3_msualg_1(D, A)) )  =>  (! [E] :  ( (v4_msualg_1(E, B) &  (v4_msafree2(E, B) & l3_msualg_1(E, B)) )  =>  (! [F] :  ( (v4_msualg_1(F, C) &  (v4_msafree2(F, C) & l3_msualg_1(F, C)) )  =>  ( (r2_circcomb(A, B, D, E) & F=k3_circcomb(A, B, D, E))  =>  (! [G] :  (m1_subset_1(G, k4_card_3(u3_msualg_1(A, D))) =>  (! [H] :  (m1_subset_1(H, k4_card_3(u3_msualg_1(C, F))) =>  (G=k5_relat_1(H, u1_struct_0(A)) => k6_circuit2(A, D, G)=k5_relat_1(k6_circuit2(C, F, H), u1_struct_0(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_circcmb2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_msafree2(C) & l1_msualg_1(C)) ) )  =>  ( (r1_xboole_0(k3_msafree2(A), k2_msafree2(B)) & C=k2_circcomb(A, B))  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree2(D, A) & l3_msualg_1(D, A)) )  =>  (! [E] :  ( (v4_msualg_1(E, B) &  (v4_msafree2(E, B) & l3_msualg_1(E, B)) )  =>  (! [F] :  ( (v4_msualg_1(F, C) &  (v4_msafree2(F, C) & l3_msualg_1(F, C)) )  =>  ( (r2_circcomb(A, B, D, E) & F=k3_circcomb(A, B, D, E))  =>  (! [G] :  (m1_subset_1(G, k4_card_3(u3_msualg_1(A, D))) =>  (! [H] :  (m1_subset_1(H, k4_card_3(u3_msualg_1(B, E))) =>  (! [I] :  (m1_subset_1(I, k4_card_3(u3_msualg_1(C, F))) =>  ( (G=k5_relat_1(I, u1_struct_0(A)) &  (H=k5_relat_1(I, u1_struct_0(B)) &  (v1_circuit2(G, A, D) & v1_circuit2(H, B, E)) ) )  => v1_circuit2(I, C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_circcmb2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_msafree2(C) & l1_msualg_1(C)) ) )  =>  ( (r1_xboole_0(k2_msafree2(A), k3_msafree2(B)) & C=k2_circcomb(A, B))  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree2(D, A) & l3_msualg_1(D, A)) )  =>  (! [E] :  ( (v4_msualg_1(E, B) &  (v4_msafree2(E, B) & l3_msualg_1(E, B)) )  =>  (! [F] :  ( (v4_msualg_1(F, C) &  (v4_msafree2(F, C) & l3_msualg_1(F, C)) )  =>  ( (r2_circcomb(A, B, D, E) & F=k3_circcomb(A, B, D, E))  =>  (! [G] :  (m1_subset_1(G, k4_card_3(u3_msualg_1(A, D))) =>  (! [H] :  (m1_subset_1(H, k4_card_3(u3_msualg_1(B, E))) =>  (! [I] :  (m1_subset_1(I, k4_card_3(u3_msualg_1(C, F))) =>  ( (G=k5_relat_1(I, u1_struct_0(A)) &  (H=k5_relat_1(I, u1_struct_0(B)) &  (v1_circuit2(G, A, D) & v1_circuit2(H, B, E)) ) )  => v1_circuit2(I, C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_circcmb2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_msafree2(C) & l1_msualg_1(C)) ) )  =>  ( (r1_xboole_0(k2_msafree2(A), k3_msafree2(B)) & C=k2_circcomb(A, B))  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree2(D, A) & l3_msualg_1(D, A)) )  =>  (! [E] :  ( (v4_msualg_1(E, B) &  (v4_msafree2(E, B) & l3_msualg_1(E, B)) )  =>  (! [F] :  ( (v4_msualg_1(F, C) &  (v4_msafree2(F, C) & l3_msualg_1(F, C)) )  =>  ( (r2_circcomb(A, B, D, E) & F=k3_circcomb(A, B, D, E))  =>  (! [G] :  (m1_subset_1(G, k4_card_3(u3_msualg_1(C, F))) =>  (! [H] :  (m1_subset_1(H, k4_card_3(u3_msualg_1(A, D))) =>  (H=k5_relat_1(G, u1_struct_0(A)) =>  (! [I] :  (v7_ordinal1(I) => k5_relat_1(k5_facirc_1(C, F, G, I), u1_struct_0(A))=k5_facirc_1(A, D, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_circcmb2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_msafree2(C) & l1_msualg_1(C)) ) )  =>  ( (r1_xboole_0(k2_msafree2(B), k3_msafree2(A)) & C=k2_circcomb(A, B))  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree2(D, A) & l3_msualg_1(D, A)) )  =>  (! [E] :  ( (v4_msualg_1(E, B) &  (v4_msafree2(E, B) & l3_msualg_1(E, B)) )  =>  (! [F] :  ( (v4_msualg_1(F, C) &  (v4_msafree2(F, C) & l3_msualg_1(F, C)) )  =>  ( (r2_circcomb(A, B, D, E) & F=k3_circcomb(A, B, D, E))  =>  (! [G] :  (m1_subset_1(G, k4_card_3(u3_msualg_1(C, F))) =>  (! [H] :  (m1_subset_1(H, k4_card_3(u3_msualg_1(B, E))) =>  (H=k5_relat_1(G, u1_struct_0(B)) =>  (! [I] :  (v7_ordinal1(I) => k5_relat_1(k5_facirc_1(C, F, G, I), u1_struct_0(B))=k5_facirc_1(B, E, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_circcmb2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_msafree2(C) & l1_msualg_1(C)) ) )  =>  ( (r1_xboole_0(k2_msafree2(A), k3_msafree2(B)) & C=k2_circcomb(A, B))  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree2(D, A) & l3_msualg_1(D, A)) )  =>  (! [E] :  ( (v4_msualg_1(E, B) &  (v4_msafree2(E, B) & l3_msualg_1(E, B)) )  =>  (! [F] :  ( (v4_msualg_1(F, C) &  (v4_msafree2(F, C) & l3_msualg_1(F, C)) )  =>  ( (r2_circcomb(A, B, D, E) & F=k3_circcomb(A, B, D, E))  =>  (! [G] :  (m1_subset_1(G, k4_card_3(u3_msualg_1(C, F))) =>  (! [H] :  (m1_subset_1(H, k4_card_3(u3_msualg_1(A, D))) =>  ( (H=k5_relat_1(G, u1_struct_0(A)) & v1_circuit2(H, A, D))  =>  (! [I] :  (m1_subset_1(I, k4_card_3(u3_msualg_1(B, E))) =>  (I=k5_relat_1(G, u1_struct_0(B)) => k5_relat_1(k6_circuit2(C, F, G), u1_struct_0(B))=k6_circuit2(B, E, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_circcmb2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_msafree2(C) & l1_msualg_1(C)) ) )  =>  (C=k2_circcomb(A, B) =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree2(D, A) & l3_msualg_1(D, A)) )  =>  (! [E] :  ( (v4_msualg_1(E, B) &  (v4_msafree2(E, B) & l3_msualg_1(E, B)) )  =>  (! [F] :  ( (v4_msualg_1(F, C) &  (v4_msafree2(F, C) & l3_msualg_1(F, C)) )  =>  ( (r2_circcomb(A, B, D, E) & F=k3_circcomb(A, B, D, E))  =>  (! [G] :  (m1_subset_1(G, k4_card_3(u3_msualg_1(C, F))) =>  (! [H] :  (m1_subset_1(H, k4_card_3(u3_msualg_1(A, D))) =>  ( (H=k5_relat_1(G, u1_struct_0(A)) & v1_circuit2(H, A, D))  =>  (! [I] :  (m1_subset_1(I, k4_card_3(u3_msualg_1(B, E))) =>  ( (I=k5_relat_1(G, u1_struct_0(B)) & v1_circuit2(I, B, E))  => v1_circuit2(G, C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_circcmb2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_msafree2(C) & l1_msualg_1(C)) ) )  =>  (C=k2_circcomb(A, B) =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree2(D, A) & l3_msualg_1(D, A)) )  =>  (! [E] :  ( (v4_msualg_1(E, B) &  (v4_msafree2(E, B) & l3_msualg_1(E, B)) )  =>  (! [F] :  ( (v4_msualg_1(F, C) &  (v4_msafree2(F, C) & l3_msualg_1(F, C)) )  =>  ( (r2_circcomb(A, B, D, E) & F=k3_circcomb(A, B, D, E))  =>  (! [G] :  (m1_subset_1(G, k4_card_3(u3_msualg_1(C, F))) =>  (v1_circuit2(G, C, F) =>  ( (! [H] :  (m1_subset_1(H, k4_card_3(u3_msualg_1(A, D))) =>  (H=k5_relat_1(G, u1_struct_0(A)) => v1_circuit2(H, A, D)) ) )  &  (! [H] :  (m1_subset_1(H, k4_card_3(u3_msualg_1(B, E))) =>  (H=k5_relat_1(G, u1_struct_0(B)) => v1_circuit2(H, B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_circcmb2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_msafree2(C) & l1_msualg_1(C)) ) )  =>  ( (r1_xboole_0(k2_msafree2(A), k3_msafree2(B)) & C=k2_circcomb(A, B))  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree2(D, A) & l3_msualg_1(D, A)) )  =>  (! [E] :  ( (v4_msualg_1(E, B) &  (v4_msafree2(E, B) & l3_msualg_1(E, B)) )  =>  (! [F] :  ( (v4_msualg_1(F, C) &  (v4_msafree2(F, C) & l3_msualg_1(F, C)) )  =>  ( (r2_circcomb(A, B, D, E) & F=k3_circcomb(A, B, D, E))  =>  (! [G] :  (m1_subset_1(G, k4_card_3(u3_msualg_1(A, D))) =>  (! [H] :  (m1_subset_1(H, k4_card_3(u3_msualg_1(B, E))) =>  (! [I] :  (m1_subset_1(I, k4_card_3(u3_msualg_1(C, F))) =>  ( (G=k5_relat_1(I, u1_struct_0(A)) &  (H=k5_relat_1(I, u1_struct_0(B)) & v1_circuit2(G, A, D)) )  =>  (! [J] :  (v7_ordinal1(J) => k5_relat_1(k5_facirc_1(C, F, I, J), u1_struct_0(B))=k5_facirc_1(B, E, H, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_circcmb2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_msafree2(C) & l1_msualg_1(C)) ) )  =>  ( (r1_xboole_0(k2_msafree2(A), k3_msafree2(B)) & C=k2_circcomb(A, B))  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree2(D, A) & l3_msualg_1(D, A)) )  =>  (! [E] :  ( (v4_msualg_1(E, B) &  (v4_msafree2(E, B) & l3_msualg_1(E, B)) )  =>  (! [F] :  ( (v4_msualg_1(F, C) &  (v4_msafree2(F, C) & l3_msualg_1(F, C)) )  =>  ( (r2_circcomb(A, B, D, E) & F=k3_circcomb(A, B, D, E))  =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (v7_ordinal1(H) =>  (! [I] :  (m1_subset_1(I, k4_card_3(u3_msualg_1(C, F))) =>  (! [J] :  (m1_subset_1(J, k4_card_3(u3_msualg_1(A, D))) =>  (! [K] :  (m1_subset_1(K, k4_card_3(u3_msualg_1(B, E))) =>  ( (J=k5_relat_1(I, u1_struct_0(A)) &  (v1_circuit2(k5_facirc_1(A, D, J, G), A, D) &  (K=k5_relat_1(k5_facirc_1(C, F, I, G), u1_struct_0(B)) & v1_circuit2(k5_facirc_1(B, E, K, H), B, E)) ) )  => v1_circuit2(k5_facirc_1(C, F, I, k2_xcmplx_0(G, H)), C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_circcmb2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_msafree2(C) & l1_msualg_1(C)) ) )  =>  ( (r1_xboole_0(k2_msafree2(A), k3_msafree2(B)) & C=k2_circcomb(A, B))  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree2(D, A) & l3_msualg_1(D, A)) )  =>  (! [E] :  ( (v4_msualg_1(E, B) &  (v4_msafree2(E, B) & l3_msualg_1(E, B)) )  =>  (! [F] :  ( (v4_msualg_1(F, C) &  (v4_msafree2(F, C) & l3_msualg_1(F, C)) )  =>  ( (r2_circcomb(A, B, D, E) & F=k3_circcomb(A, B, D, E))  =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (v7_ordinal1(H) =>  ( ( (! [I] :  (m1_subset_1(I, k4_card_3(u3_msualg_1(A, D))) => v1_circuit2(k5_facirc_1(A, D, I, G), A, D)) )  &  (! [I] :  (m1_subset_1(I, k4_card_3(u3_msualg_1(B, E))) => v1_circuit2(k5_facirc_1(B, E, I, H), B, E)) ) )  =>  (! [I] :  (m1_subset_1(I, k4_card_3(u3_msualg_1(C, F))) => v1_circuit2(k5_facirc_1(C, F, I, k2_xcmplx_0(G, H)), C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_circcmb2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_msafree2(C) & l1_msualg_1(C)) ) )  =>  ( (r1_xboole_0(k2_msafree2(A), k3_msafree2(B)) &  (r1_xboole_0(k2_msafree2(B), k3_msafree2(A)) & C=k2_circcomb(A, B)) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree2(D, A) & l3_msualg_1(D, A)) )  =>  (! [E] :  ( (v4_msualg_1(E, B) &  (v4_msafree2(E, B) & l3_msualg_1(E, B)) )  =>  (! [F] :  ( (v4_msualg_1(F, C) &  (v4_msafree2(F, C) & l3_msualg_1(F, C)) )  =>  ( (r2_circcomb(A, B, D, E) & F=k3_circcomb(A, B, D, E))  =>  (! [G] :  (m1_subset_1(G, k4_card_3(u3_msualg_1(C, F))) =>  (! [H] :  (m1_subset_1(H, k4_card_3(u3_msualg_1(A, D))) =>  (H=k5_relat_1(G, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, k4_card_3(u3_msualg_1(B, E))) =>  (I=k5_relat_1(G, u1_struct_0(B)) =>  (! [J] :  (v7_ordinal1(J) => k5_facirc_1(C, F, G, J)=k1_funct_4(k5_facirc_1(A, D, H, J), k5_facirc_1(B, E, I, J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_circcmb2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_msafree2(C) & l1_msualg_1(C)) ) )  =>  ( (r1_xboole_0(k2_msafree2(A), k3_msafree2(B)) &  (r1_xboole_0(k2_msafree2(B), k3_msafree2(A)) & C=k2_circcomb(A, B)) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree2(D, A) & l3_msualg_1(D, A)) )  =>  (! [E] :  ( (v4_msualg_1(E, B) &  (v4_msafree2(E, B) & l3_msualg_1(E, B)) )  =>  (! [F] :  ( (v4_msualg_1(F, C) &  (v4_msafree2(F, C) & l3_msualg_1(F, C)) )  =>  ( (r2_circcomb(A, B, D, E) & F=k3_circcomb(A, B, D, E))  =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (v7_ordinal1(H) =>  (! [I] :  (m1_subset_1(I, k4_card_3(u3_msualg_1(C, F))) =>  (! [J] :  (m1_subset_1(J, k4_card_3(u3_msualg_1(A, D))) =>  (J=k5_relat_1(I, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, k4_card_3(u3_msualg_1(B, E))) =>  ( (K=k5_relat_1(I, u1_struct_0(B)) &  (v1_circuit2(k5_facirc_1(A, D, J, G), A, D) & v1_circuit2(k5_facirc_1(B, E, K, H), B, E)) )  => v1_circuit2(k5_facirc_1(C, F, I, k4_xxreal_0(G, H)), C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_circcmb2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_msafree2(C) & l1_msualg_1(C)) ) )  =>  ( (r1_xboole_0(k2_msafree2(A), k3_msafree2(B)) &  (r1_xboole_0(k2_msafree2(B), k3_msafree2(A)) & C=k2_circcomb(A, B)) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree2(D, A) & l3_msualg_1(D, A)) )  =>  (! [E] :  ( (v4_msualg_1(E, B) &  (v4_msafree2(E, B) & l3_msualg_1(E, B)) )  =>  (! [F] :  ( (v4_msualg_1(F, C) &  (v4_msafree2(F, C) & l3_msualg_1(F, C)) )  =>  ( (r2_circcomb(A, B, D, E) & F=k3_circcomb(A, B, D, E))  =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (m1_subset_1(H, k4_card_3(u3_msualg_1(C, F))) =>  (! [I] :  (m1_subset_1(I, k4_card_3(u3_msualg_1(A, D))) =>  (I=k5_relat_1(H, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, k4_card_3(u3_msualg_1(B, E))) =>  ~ ( (J=k5_relat_1(H, u1_struct_0(B)) &  ( ~ ( (v1_circuit2(k5_facirc_1(A, D, I, G), A, D) & v1_circuit2(k5_facirc_1(B, E, J, G), B, E)) )  & v1_circuit2(k5_facirc_1(C, F, H, G), C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_circcmb2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_msafree2(C) & l1_msualg_1(C)) ) )  =>  ( (r1_xboole_0(k2_msafree2(A), k3_msafree2(B)) &  (r1_xboole_0(k2_msafree2(B), k3_msafree2(A)) & C=k2_circcomb(A, B)) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree2(D, A) & l3_msualg_1(D, A)) )  =>  (! [E] :  ( (v4_msualg_1(E, B) &  (v4_msafree2(E, B) & l3_msualg_1(E, B)) )  =>  (! [F] :  ( (v4_msualg_1(F, C) &  (v4_msafree2(F, C) & l3_msualg_1(F, C)) )  =>  ( (r2_circcomb(A, B, D, E) & F=k3_circcomb(A, B, D, E))  =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (v7_ordinal1(H) =>  ( ( (! [I] :  (m1_subset_1(I, k4_card_3(u3_msualg_1(A, D))) => v1_circuit2(k5_facirc_1(A, D, I, G), A, D)) )  &  (! [I] :  (m1_subset_1(I, k4_card_3(u3_msualg_1(B, E))) => v1_circuit2(k5_facirc_1(B, E, I, H), B, E)) ) )  =>  (! [I] :  (m1_subset_1(I, k4_card_3(u3_msualg_1(C, F))) => v1_circuit2(k5_facirc_1(C, F, I, k4_xxreal_0(G, H)), C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_circcmb2, axiom,  (? [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) )  &  (? [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) )  &  (k1_funct_1(A, k5_numbers)=f1_s1_circcmb2 &  (k1_funct_1(B, k5_numbers)=f2_s1_circcmb2 &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l1_msualg_1(D))  =>  (! [E] :  ( (D=k1_funct_1(A, C) & E=k1_funct_1(B, C))  =>  (k1_funct_1(A, k1_nat_1(C, 1))=f3_s1_circcmb2(D, E, C) & k1_funct_1(B, k1_nat_1(C, 1))=f4_s1_circcmb2(E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s2_circcmb2, axiom,  ( ( (? [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  &  (? [B] :  (A=k1_funct_1(f3_s2_circcmb2, k5_numbers) &  (B=k1_funct_1(f4_s2_circcmb2, k5_numbers) & p1_s2_circcmb2(A, B, k5_numbers)) ) ) ) )  &  ( (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( (B=k1_funct_1(f3_s2_circcmb2, A) & C=k1_funct_1(f4_s2_circcmb2, A))  =>  (k1_funct_1(f3_s2_circcmb2, k1_nat_1(A, 1))=f1_s2_circcmb2(B, C, A) & k1_funct_1(f4_s2_circcmb2, k1_nat_1(A, 1))=f2_s2_circcmb2(C, A)) ) ) ) ) ) )  &  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( (B=k1_funct_1(f3_s2_circcmb2, A) &  (C=k1_funct_1(f4_s2_circcmb2, A) & p1_s2_circcmb2(B, C, A)) )  => p1_s2_circcmb2(f1_s2_circcmb2(B, C, A), f2_s2_circcmb2(C, A), k1_nat_1(A, 1))) ) ) ) ) ) ) )  =>  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  &  (B=k1_funct_1(f3_s2_circcmb2, A) & p1_s2_circcmb2(B, k1_funct_1(f4_s2_circcmb2, A), A)) ) ) ) ) ) ).
fof(s3_circcmb2, axiom,  ( (k1_funct_1(f4_s3_circcmb2, k5_numbers)=f1_s3_circcmb2 &  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( (B=k1_funct_1(f4_s3_circcmb2, A) & C=k1_funct_1(f5_s3_circcmb2, A))  =>  (k1_funct_1(f4_s3_circcmb2, k1_nat_1(A, 1))=f2_s3_circcmb2(B, C, A) & k1_funct_1(f5_s3_circcmb2, k1_nat_1(A, 1))=f3_s3_circcmb2(C, A)) ) ) ) ) ) ) )  =>  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (B=k1_funct_1(f5_s3_circcmb2, A) => k1_funct_1(f5_s3_circcmb2, k1_nat_1(A, 1))=f3_s3_circcmb2(B, A)) ) ) ) ) ).
fof(s4_circcmb2, axiom,  (? [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  &  (? [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) )  &  (? [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) )  &  (A=k1_funct_1(B, f5_s4_circcmb2) &  (k1_funct_1(B, k5_numbers)=f1_s4_circcmb2 &  (k1_funct_1(C, k5_numbers)=f2_s4_circcmb2 &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  & l1_msualg_1(E))  =>  (! [F] :  ( (E=k1_funct_1(B, D) & F=k1_funct_1(C, D))  =>  (k1_funct_1(B, k1_nat_1(D, 1))=f3_s4_circcmb2(E, F, D) & k1_funct_1(C, k1_nat_1(D, 1))=f4_s4_circcmb2(F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s5_circcmb2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  ~ ( ( (? [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) )  &  (? [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v1_funct_1(D) & v1_partfun1(D, k4_ordinal1)) ) )  &  (A=k1_funct_1(C, f5_s5_circcmb2) &  (k1_funct_1(C, k5_numbers)=f1_s5_circcmb2 &  (k1_funct_1(D, k5_numbers)=f2_s5_circcmb2 &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  & l1_msualg_1(F))  =>  (! [G] :  ( (F=k1_funct_1(C, E) & G=k1_funct_1(D, E))  =>  (k1_funct_1(C, k1_nat_1(E, 1))=f3_s5_circcmb2(F, G, E) & k1_funct_1(D, k1_nat_1(E, 1))=f4_s5_circcmb2(G, E)) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (? [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) )  &  (? [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v1_funct_1(D) & v1_partfun1(D, k4_ordinal1)) ) )  &  (B=k1_funct_1(C, f5_s5_circcmb2) &  (k1_funct_1(C, k5_numbers)=f1_s5_circcmb2 &  (k1_funct_1(D, k5_numbers)=f2_s5_circcmb2 &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  & l1_msualg_1(F))  =>  (! [G] :  ( (F=k1_funct_1(C, E) & G=k1_funct_1(D, E))  =>  (k1_funct_1(C, k1_nat_1(E, 1))=f3_s5_circcmb2(F, G, E) & k1_funct_1(D, k1_nat_1(E, 1))=f4_s5_circcmb2(G, E)) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ~ (A=B) ) ) ) ) ) ) ) ).
fof(s6_circcmb2, axiom,  ( (? [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  &  (? [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) )  &  (? [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) )  &  (A=k1_funct_1(B, f5_s6_circcmb2) &  (k1_funct_1(B, k5_numbers)=f1_s6_circcmb2 &  (k1_funct_1(C, k5_numbers)=f2_s6_circcmb2 &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  & l1_msualg_1(E))  =>  (! [F] :  ( (E=k1_funct_1(B, D) & F=k1_funct_1(C, D))  =>  (k1_funct_1(B, k1_nat_1(D, 1))=f3_s6_circcmb2(E, F, D) & k1_funct_1(C, k1_nat_1(D, 1))=f4_s6_circcmb2(F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  ~ ( ( (? [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) )  &  (? [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v1_funct_1(D) & v1_partfun1(D, k4_ordinal1)) ) )  &  (A=k1_funct_1(C, f5_s6_circcmb2) &  (k1_funct_1(C, k5_numbers)=f1_s6_circcmb2 &  (k1_funct_1(D, k5_numbers)=f2_s6_circcmb2 &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  & l1_msualg_1(F))  =>  (! [G] :  ( (F=k1_funct_1(C, E) & G=k1_funct_1(D, E))  =>  (k1_funct_1(C, k1_nat_1(E, 1))=f3_s6_circcmb2(F, G, E) & k1_funct_1(D, k1_nat_1(E, 1))=f4_s6_circcmb2(G, E)) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (? [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) )  &  (? [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v1_funct_1(D) & v1_partfun1(D, k4_ordinal1)) ) )  &  (B=k1_funct_1(C, f5_s6_circcmb2) &  (k1_funct_1(C, k5_numbers)=f1_s6_circcmb2 &  (k1_funct_1(D, k5_numbers)=f2_s6_circcmb2 &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  & l1_msualg_1(F))  =>  (! [G] :  ( (F=k1_funct_1(C, E) & G=k1_funct_1(D, E))  =>  (k1_funct_1(C, k1_nat_1(E, 1))=f3_s6_circcmb2(F, G, E) & k1_funct_1(D, k1_nat_1(E, 1))=f4_s6_circcmb2(G, E)) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ~ (A=B) ) ) ) ) ) ) ) ) ).
fof(s7_circcmb2, axiom,  ( ( (v1_circcomb(f1_s7_circcmb2) &  (v2_circcomb(f1_s7_circcmb2) &  (v3_circcomb(f1_s7_circcmb2) &  ( ~ (v11_struct_0(f1_s7_circcmb2))  &  ( ~ (v2_struct_0(f1_s7_circcmb2))  & v1_msualg_1(f1_s7_circcmb2)) ) ) ) )  &  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_msualg_1(A) &  (v1_circcomb(A) &  (v2_circcomb(A) &  (v3_circcomb(A) & l1_msualg_1(A)) ) ) ) ) )  =>  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  (v1_circcomb(f2_s7_circcmb2(A, B, C)) &  (v2_circcomb(f2_s7_circcmb2(A, B, C)) &  (v3_circcomb(f2_s7_circcmb2(A, B, C)) &  ( ~ (v11_struct_0(f2_s7_circcmb2(A, B, C)))  &  ( ~ (v2_struct_0(f2_s7_circcmb2(A, B, C)))  & v1_msualg_1(f2_s7_circcmb2(A, B, C))) ) ) ) ) ) ) ) ) ) )  =>  (? [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_msualg_1(A) &  (v1_circcomb(A) &  (v2_circcomb(A) &  (v3_circcomb(A) & l1_msualg_1(A)) ) ) ) ) )  &  (? [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) )  &  (? [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) )  &  (A=k1_funct_1(B, f5_s7_circcmb2) &  (k1_funct_1(B, k5_numbers)=f1_s7_circcmb2 &  (k1_funct_1(C, k5_numbers)=f3_s7_circcmb2 &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  & l1_msualg_1(E))  =>  (! [F] :  ( (E=k1_funct_1(B, D) & F=k1_funct_1(C, D))  =>  (k1_funct_1(B, k1_nat_1(D, 1))=f2_s7_circcmb2(E, F, D) & k1_funct_1(C, k1_nat_1(D, 1))=f4_s7_circcmb2(F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s8_circcmb2, axiom,  ( (v1_circcomb(f1_s8_circcmb2) &  (v2_circcomb(f1_s8_circcmb2) &  (v3_circcomb(f1_s8_circcmb2) &  ( ~ (v11_struct_0(f1_s8_circcmb2))  &  ( ~ (v2_struct_0(f1_s8_circcmb2))  & v1_msualg_1(f1_s8_circcmb2)) ) ) ) )  =>  (? [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_msualg_1(A) &  (v1_circcomb(A) &  (v2_circcomb(A) &  (v3_circcomb(A) & l1_msualg_1(A)) ) ) ) ) )  &  (? [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) )  &  (? [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) )  &  (A=k1_funct_1(B, f5_s8_circcmb2) &  (k1_funct_1(B, k5_numbers)=f1_s8_circcmb2 &  (k1_funct_1(C, k5_numbers)=f3_s8_circcmb2 &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  & l1_msualg_1(E))  =>  (! [F] :  ( (E=k1_funct_1(B, D) & F=k1_funct_1(C, D))  =>  (k1_funct_1(B, k1_nat_1(D, 1))=k2_circcomb(E, f2_s8_circcmb2(F, D)) & k1_funct_1(C, k1_nat_1(D, 1))=f4_s8_circcmb2(F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s9_circcmb2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_msualg_1(A) &  (v1_circcomb(A) &  (v2_circcomb(A) &  (v3_circcomb(A) & l1_msualg_1(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_msualg_1(B) &  (v1_circcomb(B) &  (v2_circcomb(B) &  (v3_circcomb(B) & l1_msualg_1(B)) ) ) ) ) )  =>  ~ ( ( (? [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) )  &  (? [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v1_funct_1(D) & v1_partfun1(D, k4_ordinal1)) ) )  &  (A=k1_funct_1(C, f5_s9_circcmb2) &  (k1_funct_1(C, k5_numbers)=f1_s9_circcmb2 &  (k1_funct_1(D, k5_numbers)=f2_s9_circcmb2 &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  & l1_msualg_1(F))  =>  (! [G] :  ( (F=k1_funct_1(C, E) & G=k1_funct_1(D, E))  =>  (k1_funct_1(C, k1_nat_1(E, 1))=f3_s9_circcmb2(F, G, E) & k1_funct_1(D, k1_nat_1(E, 1))=f4_s9_circcmb2(G, E)) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (? [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) )  &  (? [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v1_funct_1(D) & v1_partfun1(D, k4_ordinal1)) ) )  &  (B=k1_funct_1(C, f5_s9_circcmb2) &  (k1_funct_1(C, k5_numbers)=f1_s9_circcmb2 &  (k1_funct_1(D, k5_numbers)=f2_s9_circcmb2 &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  & l1_msualg_1(F))  =>  (! [G] :  ( (F=k1_funct_1(C, E) & G=k1_funct_1(D, E))  =>  (k1_funct_1(C, k1_nat_1(E, 1))=f3_s9_circcmb2(F, G, E) & k1_funct_1(D, k1_nat_1(E, 1))=f4_s9_circcmb2(G, E)) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ~ (A=B) ) ) ) ) ) ) ) ).
fof(s10_circcmb2, axiom,  ( (v1_relat_1(k3_msafree2(f1_s10_circcmb2)) &  ( ~ (v1_facirc_1(k2_msafree2(f1_s10_circcmb2)))  &  ( (f2_s10_circcmb2(k5_numbers)=f1_s10_circcmb2 & r2_tarski(k1_funct_1(f3_s10_circcmb2, k5_numbers), k3_msafree2(f1_s10_circcmb2)))  &  ( (! [A] :  (v7_ordinal1(A) =>  (! [B] : v1_relat_1(k3_msafree2(f4_s10_circcmb2(B, A)))) ) )  &  ( (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ~ ( (B=k1_funct_1(f3_s10_circcmb2, A) & v1_facirc_1(k4_xboole_0(k2_msafree2(f4_s10_circcmb2(B, A)), k1_tarski(B)))) ) ) ) )  &  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( (B=f2_s10_circcmb2(A) & C=k1_funct_1(f3_s10_circcmb2, A))  =>  (f2_s10_circcmb2(k1_nat_1(A, 1))=k2_circcomb(B, f4_s10_circcmb2(C, A)) &  (k1_funct_1(f3_s10_circcmb2, k1_nat_1(A, 1))=f5_s10_circcmb2(C, A) &  (r2_tarski(C, k2_msafree2(f4_s10_circcmb2(C, A))) & r2_hidden(f5_s10_circcmb2(C, A), k3_msafree2(f4_s10_circcmb2(C, A)))) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_circcomb(B) &  (v2_circcomb(B) &  (v3_circcomb(B) & l1_msualg_1(B)) ) ) ) )  &  (? [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v1_circcomb(C) &  (v2_circcomb(C) &  (v3_circcomb(C) & l1_msualg_1(C)) ) ) ) )  &  (B=f2_s10_circcmb2(A) &  (C=f2_s10_circcmb2(k1_nat_1(A, 1)) &  (k2_msafree2(C)=k2_xboole_0(k2_msafree2(B), k4_xboole_0(k2_msafree2(f4_s10_circcmb2(k1_funct_1(f3_s10_circcmb2, A), A)), k1_tarski(k1_funct_1(f3_s10_circcmb2, A)))) &  (v1_relat_1(k3_msafree2(B)) &  ~ (v1_facirc_1(k2_msafree2(B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s11_circcmb2, axiom,  ( (v1_relat_1(k3_msafree2(f1_s11_circcmb2(k5_numbers))) &  ( ~ (v1_facirc_1(k2_msafree2(f1_s11_circcmb2(k5_numbers))))  &  (r2_tarski(k1_funct_1(f2_s11_circcmb2, k5_numbers), k3_msafree2(f1_s11_circcmb2(k5_numbers))) &  ( (! [A] :  (v7_ordinal1(A) =>  (! [B] : v1_relat_1(k3_msafree2(f3_s11_circcmb2(B, A)))) ) )  &  ( (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ~ ( (B=k1_funct_1(f2_s11_circcmb2, A) & v1_facirc_1(k4_xboole_0(k2_msafree2(f3_s11_circcmb2(B, A)), k1_tarski(B)))) ) ) ) )  &  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( (B=f1_s11_circcmb2(A) & C=k1_funct_1(f2_s11_circcmb2, A))  =>  (f1_s11_circcmb2(k1_nat_1(A, 1))=k2_circcomb(B, f3_s11_circcmb2(C, A)) &  (k1_funct_1(f2_s11_circcmb2, k1_nat_1(A, 1))=f4_s11_circcmb2(C, A) &  (r2_tarski(C, k2_msafree2(f3_s11_circcmb2(C, A))) & r2_hidden(f4_s11_circcmb2(C, A), k3_msafree2(f3_s11_circcmb2(C, A)))) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [A] :  (v7_ordinal1(A) =>  (k2_msafree2(f1_s11_circcmb2(k1_nat_1(A, 1)))=k2_xboole_0(k2_msafree2(f1_s11_circcmb2(A)), k4_xboole_0(k2_msafree2(f3_s11_circcmb2(k1_funct_1(f2_s11_circcmb2, A), A)), k1_tarski(k1_funct_1(f2_s11_circcmb2, A)))) &  (v1_relat_1(k3_msafree2(f1_s11_circcmb2(A))) &  ~ (v1_facirc_1(k2_msafree2(f1_s11_circcmb2(A)))) ) ) ) ) ) ).
fof(s12_circcmb2, axiom,  (? [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) )  &  (? [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) )  &  (? [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) )  &  (k1_funct_1(A, k5_numbers)=f1_s12_circcmb2 &  (k1_funct_1(B, k5_numbers)=f2_s12_circcmb2 &  (k1_funct_1(C, k5_numbers)=f3_s12_circcmb2 &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  & l1_msualg_1(E))  =>  (! [F] :  ( (v4_msualg_1(F, E) & l3_msualg_1(F, E))  =>  (! [G] :  ( (E=k1_funct_1(A, D) &  (F=k1_funct_1(B, D) & G=k1_funct_1(C, D)) )  =>  (k1_funct_1(A, k1_nat_1(D, 1))=f4_s12_circcmb2(E, G, D) &  (k1_funct_1(B, k1_nat_1(D, 1))=f5_s12_circcmb2(E, F, G, D) & k1_funct_1(C, k1_nat_1(D, 1))=f6_s12_circcmb2(G, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s13_circcmb2, axiom,  ( ( (? [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  &  (? [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  (? [C] :  (A=k1_funct_1(f4_s13_circcmb2, k5_numbers) &  (B=k1_funct_1(f5_s13_circcmb2, k5_numbers) &  (C=k1_funct_1(f6_s13_circcmb2, k5_numbers) & p1_s13_circcmb2(A, B, C, k5_numbers)) ) ) ) ) ) ) )  &  ( (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (B=k1_funct_1(f4_s13_circcmb2, A) &  (C=k1_funct_1(f5_s13_circcmb2, A) & D=k1_funct_1(f6_s13_circcmb2, A)) )  =>  (k1_funct_1(f4_s13_circcmb2, k1_nat_1(A, 1))=f1_s13_circcmb2(B, D, A) &  (k1_funct_1(f5_s13_circcmb2, k1_nat_1(A, 1))=f2_s13_circcmb2(B, C, D, A) & k1_funct_1(f6_s13_circcmb2, k1_nat_1(A, 1))=f3_s13_circcmb2(D, A)) ) ) ) ) ) ) ) ) )  &  ( (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (B=k1_funct_1(f4_s13_circcmb2, A) &  (C=k1_funct_1(f5_s13_circcmb2, A) &  (D=k1_funct_1(f6_s13_circcmb2, A) & p1_s13_circcmb2(B, C, D, A)) ) )  => p1_s13_circcmb2(f1_s13_circcmb2(B, D, A), f2_s13_circcmb2(B, C, D, A), f3_s13_circcmb2(D, A), k1_nat_1(A, 1))) ) ) ) ) ) ) )  &  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (! [D] :  (v7_ordinal1(D) =>  (v4_msualg_1(f2_s13_circcmb2(A, B, C, D), f1_s13_circcmb2(A, C, D)) & l3_msualg_1(f2_s13_circcmb2(A, B, C, D), f1_s13_circcmb2(A, C, D))) ) ) ) ) ) ) ) ) ) )  =>  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  &  (? [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  &  (B=k1_funct_1(f4_s13_circcmb2, A) &  (C=k1_funct_1(f5_s13_circcmb2, A) & p1_s13_circcmb2(B, C, k1_funct_1(f6_s13_circcmb2, A), A)) ) ) ) ) ) ) ) ) ).
fof(s14_circcmb2, axiom,  ( ( (? [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  &  (? [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  (A=k1_funct_1(f4_s14_circcmb2, k5_numbers) & B=k1_funct_1(f6_s14_circcmb2, k5_numbers)) ) ) ) )  &  ( (k1_funct_1(f4_s14_circcmb2, k5_numbers)=k1_funct_1(f5_s14_circcmb2, k5_numbers) &  (k1_funct_1(f6_s14_circcmb2, k5_numbers)=k1_funct_1(f7_s14_circcmb2, k5_numbers) & k1_funct_1(f8_s14_circcmb2, k5_numbers)=k1_funct_1(f9_s14_circcmb2, k5_numbers)) )  &  ( (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (B=k1_funct_1(f4_s14_circcmb2, A) &  (C=k1_funct_1(f6_s14_circcmb2, A) & D=k1_funct_1(f8_s14_circcmb2, A)) )  =>  (k1_funct_1(f4_s14_circcmb2, k1_nat_1(A, 1))=f1_s14_circcmb2(B, D, A) &  (k1_funct_1(f6_s14_circcmb2, k1_nat_1(A, 1))=f2_s14_circcmb2(B, C, D, A) & k1_funct_1(f8_s14_circcmb2, k1_nat_1(A, 1))=f3_s14_circcmb2(D, A)) ) ) ) ) ) ) ) ) )  &  ( (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (B=k1_funct_1(f5_s14_circcmb2, A) &  (C=k1_funct_1(f7_s14_circcmb2, A) & D=k1_funct_1(f9_s14_circcmb2, A)) )  =>  (k1_funct_1(f5_s14_circcmb2, k1_nat_1(A, 1))=f1_s14_circcmb2(B, D, A) &  (k1_funct_1(f7_s14_circcmb2, k1_nat_1(A, 1))=f2_s14_circcmb2(B, C, D, A) & k1_funct_1(f9_s14_circcmb2, k1_nat_1(A, 1))=f3_s14_circcmb2(D, A)) ) ) ) ) ) ) ) ) )  &  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (! [D] :  (v7_ordinal1(D) =>  (v4_msualg_1(f2_s14_circcmb2(A, B, C, D), f1_s14_circcmb2(A, C, D)) & l3_msualg_1(f2_s14_circcmb2(A, B, C, D), f1_s14_circcmb2(A, C, D))) ) ) ) ) ) ) ) ) ) ) )  =>  (r8_pboole(k4_ordinal1, f4_s14_circcmb2, f5_s14_circcmb2) &  (r8_pboole(k4_ordinal1, f6_s14_circcmb2, f7_s14_circcmb2) & r8_pboole(k4_ordinal1, f8_s14_circcmb2, f9_s14_circcmb2)) ) ) ).
fof(s15_circcmb2, axiom,  ( ( (k1_funct_1(f6_s15_circcmb2, k5_numbers)=f1_s15_circcmb2 & k1_funct_1(f7_s15_circcmb2, k5_numbers)=f2_s15_circcmb2)  &  ( (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (B=k1_funct_1(f6_s15_circcmb2, A) &  (C=k1_funct_1(f7_s15_circcmb2, A) & D=k1_funct_1(f8_s15_circcmb2, A)) )  =>  (k1_funct_1(f6_s15_circcmb2, k1_nat_1(A, 1))=f3_s15_circcmb2(B, D, A) &  (k1_funct_1(f7_s15_circcmb2, k1_nat_1(A, 1))=f4_s15_circcmb2(B, C, D, A) & k1_funct_1(f8_s15_circcmb2, k1_nat_1(A, 1))=f5_s15_circcmb2(D, A)) ) ) ) ) ) ) ) ) )  &  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (! [D] :  (v7_ordinal1(D) =>  (v4_msualg_1(f4_s15_circcmb2(A, B, C, D), f3_s15_circcmb2(A, C, D)) & l3_msualg_1(f4_s15_circcmb2(A, B, C, D), f3_s15_circcmb2(A, C, D))) ) ) ) ) ) ) ) ) )  =>  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( (B=k1_funct_1(f6_s15_circcmb2, A) & C=k1_funct_1(f8_s15_circcmb2, A))  =>  (k1_funct_1(f6_s15_circcmb2, k1_nat_1(A, 1))=f3_s15_circcmb2(B, C, A) & k1_funct_1(f8_s15_circcmb2, k1_nat_1(A, 1))=f5_s15_circcmb2(C, A)) ) ) ) ) ) ) ) ).
fof(s16_circcmb2, axiom,  ( (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (! [D] :  (v7_ordinal1(D) =>  (v4_msualg_1(f5_s16_circcmb2(A, B, C, D), f4_s16_circcmb2(A, C, D)) & l3_msualg_1(f5_s16_circcmb2(A, B, C, D), f4_s16_circcmb2(A, C, D))) ) ) ) ) ) ) )  =>  (? [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  &  (? [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  (? [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) )  &  (? [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v1_funct_1(D) & v1_partfun1(D, k4_ordinal1)) ) )  &  (? [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v1_funct_1(E) & v1_partfun1(E, k4_ordinal1)) ) )  &  (A=k1_funct_1(C, f7_s16_circcmb2) &  (B=k1_funct_1(D, f7_s16_circcmb2) &  (k1_funct_1(C, k5_numbers)=f1_s16_circcmb2 &  (k1_funct_1(D, k5_numbers)=f2_s16_circcmb2 &  (k1_funct_1(E, k5_numbers)=f3_s16_circcmb2 &  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_msualg_1(G))  =>  (! [H] :  ( (v4_msualg_1(H, G) & l3_msualg_1(H, G))  =>  (! [I] :  ( (G=k1_funct_1(C, F) &  (H=k1_funct_1(D, F) & I=k1_funct_1(E, F)) )  =>  (k1_funct_1(C, k1_nat_1(F, 1))=f4_s16_circcmb2(G, I, F) &  (k1_funct_1(D, k1_nat_1(F, 1))=f5_s16_circcmb2(G, H, I, F) & k1_funct_1(E, k1_nat_1(F, 1))=f6_s16_circcmb2(I, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s17_circcmb2, axiom,  ( ( (? [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) )  &  (? [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) )  &  (f2_s17_circcmb2=k1_funct_1(A, f8_s17_circcmb2) &  (k1_funct_1(A, k5_numbers)=f1_s17_circcmb2 &  (k1_funct_1(B, k5_numbers)=f4_s17_circcmb2 &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l1_msualg_1(D))  =>  (! [E] :  ( (D=k1_funct_1(A, C) & E=k1_funct_1(B, C))  =>  (k1_funct_1(A, k1_nat_1(C, 1))=f5_s17_circcmb2(D, E, C) & k1_funct_1(B, k1_nat_1(C, 1))=f7_s17_circcmb2(E, C)) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (! [D] :  (v7_ordinal1(D) =>  (v4_msualg_1(f6_s17_circcmb2(A, B, C, D), f5_s17_circcmb2(A, C, D)) & l3_msualg_1(f6_s17_circcmb2(A, B, C, D), f5_s17_circcmb2(A, C, D))) ) ) ) ) ) ) ) )  =>  (? [A] :  ( (v4_msualg_1(A, f2_s17_circcmb2) & l3_msualg_1(A, f2_s17_circcmb2))  &  (? [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) )  &  (? [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) )  &  (? [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v1_funct_1(D) & v1_partfun1(D, k4_ordinal1)) ) )  &  (f2_s17_circcmb2=k1_funct_1(B, f8_s17_circcmb2) &  (A=k1_funct_1(C, f8_s17_circcmb2) &  (k1_funct_1(B, k5_numbers)=f1_s17_circcmb2 &  (k1_funct_1(C, k5_numbers)=f3_s17_circcmb2 &  (k1_funct_1(D, k5_numbers)=f4_s17_circcmb2 &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  & l1_msualg_1(F))  =>  (! [G] :  ( (v4_msualg_1(G, F) & l3_msualg_1(G, F))  =>  (! [H] :  ( (F=k1_funct_1(B, E) &  (G=k1_funct_1(C, E) & H=k1_funct_1(D, E)) )  =>  (k1_funct_1(B, k1_nat_1(E, 1))=f5_s17_circcmb2(F, H, E) &  (k1_funct_1(C, k1_nat_1(E, 1))=f6_s17_circcmb2(F, G, H, E) & k1_funct_1(D, k1_nat_1(E, 1))=f7_s17_circcmb2(H, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s18_circcmb2, axiom,  ( (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (! [D] :  (v7_ordinal1(D) =>  (v4_msualg_1(f6_s18_circcmb2(A, B, C, D), f5_s18_circcmb2(A, C, D)) & l3_msualg_1(f6_s18_circcmb2(A, B, C, D), f5_s18_circcmb2(A, C, D))) ) ) ) ) ) ) )  =>  (! [A] :  ( (v4_msualg_1(A, f2_s18_circcmb2) & l3_msualg_1(A, f2_s18_circcmb2))  =>  (! [B] :  ( (v4_msualg_1(B, f2_s18_circcmb2) & l3_msualg_1(B, f2_s18_circcmb2))  =>  ~ ( ( (? [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) )  &  (? [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v1_funct_1(D) & v1_partfun1(D, k4_ordinal1)) ) )  &  (? [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v1_funct_1(E) & v1_partfun1(E, k4_ordinal1)) ) )  &  (f2_s18_circcmb2=k1_funct_1(C, f8_s18_circcmb2) &  (A=k1_funct_1(D, f8_s18_circcmb2) &  (k1_funct_1(C, k5_numbers)=f1_s18_circcmb2 &  (k1_funct_1(D, k5_numbers)=f3_s18_circcmb2 &  (k1_funct_1(E, k5_numbers)=f4_s18_circcmb2 &  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_msualg_1(G))  =>  (! [H] :  ( (v4_msualg_1(H, G) & l3_msualg_1(H, G))  =>  (! [I] :  ( (G=k1_funct_1(C, F) &  (H=k1_funct_1(D, F) & I=k1_funct_1(E, F)) )  =>  (k1_funct_1(C, k1_nat_1(F, 1))=f5_s18_circcmb2(G, I, F) &  (k1_funct_1(D, k1_nat_1(F, 1))=f6_s18_circcmb2(G, H, I, F) & k1_funct_1(E, k1_nat_1(F, 1))=f7_s18_circcmb2(I, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (? [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) )  &  (? [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v1_funct_1(D) & v1_partfun1(D, k4_ordinal1)) ) )  &  (? [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v1_funct_1(E) & v1_partfun1(E, k4_ordinal1)) ) )  &  (f2_s18_circcmb2=k1_funct_1(C, f8_s18_circcmb2) &  (B=k1_funct_1(D, f8_s18_circcmb2) &  (k1_funct_1(C, k5_numbers)=f1_s18_circcmb2 &  (k1_funct_1(D, k5_numbers)=f3_s18_circcmb2 &  (k1_funct_1(E, k5_numbers)=f4_s18_circcmb2 &  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_msualg_1(G))  =>  (! [H] :  ( (v4_msualg_1(H, G) & l3_msualg_1(H, G))  =>  (! [I] :  ( (G=k1_funct_1(C, F) &  (H=k1_funct_1(D, F) & I=k1_funct_1(E, F)) )  =>  (k1_funct_1(C, k1_nat_1(F, 1))=f5_s18_circcmb2(G, I, F) &  (k1_funct_1(D, k1_nat_1(F, 1))=f6_s18_circcmb2(G, H, I, F) & k1_funct_1(E, k1_nat_1(F, 1))=f7_s18_circcmb2(I, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ~ (A=B) ) ) ) ) ) ) ) ) ).
fof(s19_circcmb2, axiom,  ( ( (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_msualg_1(A) &  (v1_circcomb(A) &  (v2_circcomb(A) &  (v3_circcomb(A) & l1_msualg_1(A)) ) ) ) ) )  =>  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  (v1_circcomb(f4_s19_circcmb2(A, B, C)) &  (v2_circcomb(f4_s19_circcmb2(A, B, C)) &  (v3_circcomb(f4_s19_circcmb2(A, B, C)) &  ( ~ (v11_struct_0(f4_s19_circcmb2(A, B, C)))  & v1_msualg_1(f4_s19_circcmb2(A, B, C))) ) ) ) ) ) ) ) )  &  ( (? [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) )  &  (? [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) )  &  (f2_s19_circcmb2=k1_funct_1(A, f8_s19_circcmb2) &  (k1_funct_1(A, k5_numbers)=f1_s19_circcmb2 &  (k1_funct_1(B, k5_numbers)=f6_s19_circcmb2 &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l1_msualg_1(D))  =>  (! [E] :  ( (D=k1_funct_1(A, C) & E=k1_funct_1(B, C))  =>  (k1_funct_1(A, k1_nat_1(C, 1))=f4_s19_circcmb2(D, E, C) & k1_funct_1(B, k1_nat_1(C, 1))=f7_s19_circcmb2(E, C)) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (! [D] :  (v7_ordinal1(D) =>  (v4_msualg_1(f5_s19_circcmb2(A, B, C, D), f4_s19_circcmb2(A, C, D)) & l3_msualg_1(f5_s19_circcmb2(A, B, C, D), f4_s19_circcmb2(A, C, D))) ) ) ) ) ) ) )  &  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_msualg_1(A) &  (v1_circcomb(A) &  (v2_circcomb(A) &  (v3_circcomb(A) & l1_msualg_1(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_msualg_1(B) &  (v1_circcomb(B) &  (v2_circcomb(B) &  (v3_circcomb(B) & l1_msualg_1(B)) ) ) ) ) )  =>  (! [C] :  ( (v3_msualg_1(C, A) &  (v4_msafree2(C, A) &  (v4_circcomb(C, A) &  (v6_circcomb(C, A) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (! [E] :  (v7_ordinal1(E) =>  (B=f4_s19_circcmb2(A, D, E) =>  (v3_msualg_1(f5_s19_circcmb2(A, C, D, E), B) &  (v4_msafree2(f5_s19_circcmb2(A, C, D, E), B) &  (v4_circcomb(f5_s19_circcmb2(A, C, D, E), B) &  (v6_circcomb(f5_s19_circcmb2(A, C, D, E), B) & l3_msualg_1(f5_s19_circcmb2(A, C, D, E), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (? [A] :  ( (v3_msualg_1(A, f2_s19_circcmb2) &  (v4_msafree2(A, f2_s19_circcmb2) &  (v4_circcomb(A, f2_s19_circcmb2) &  (v6_circcomb(A, f2_s19_circcmb2) & l3_msualg_1(A, f2_s19_circcmb2)) ) ) )  &  (? [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) )  &  (? [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) )  &  (? [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v1_funct_1(D) & v1_partfun1(D, k4_ordinal1)) ) )  &  (f2_s19_circcmb2=k1_funct_1(B, f8_s19_circcmb2) &  (A=k1_funct_1(C, f8_s19_circcmb2) &  (k1_funct_1(B, k5_numbers)=f1_s19_circcmb2 &  (k1_funct_1(C, k5_numbers)=f3_s19_circcmb2 &  (k1_funct_1(D, k5_numbers)=f6_s19_circcmb2 &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  & l1_msualg_1(F))  =>  (! [G] :  ( (v4_msualg_1(G, F) & l3_msualg_1(G, F))  =>  (! [H] :  ( (F=k1_funct_1(B, E) &  (G=k1_funct_1(C, E) & H=k1_funct_1(D, E)) )  =>  (k1_funct_1(B, k1_nat_1(E, 1))=f4_s19_circcmb2(F, H, E) &  (k1_funct_1(C, k1_nat_1(E, 1))=f5_s19_circcmb2(F, G, H, E) & k1_funct_1(D, k1_nat_1(E, 1))=f7_s19_circcmb2(H, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s20_circcmb2, axiom,  ( ( (? [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) )  &  (? [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) )  &  (f2_s20_circcmb2=k1_funct_1(A, f8_s20_circcmb2) &  (k1_funct_1(A, k5_numbers)=f1_s20_circcmb2 &  (k1_funct_1(B, k5_numbers)=f6_s20_circcmb2 &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l1_msualg_1(D))  =>  (! [E] :  ( (D=k1_funct_1(A, C) & E=k1_funct_1(B, C))  =>  (k1_funct_1(A, k1_nat_1(C, 1))=k2_circcomb(D, f4_s20_circcmb2(E, C)) & k1_funct_1(B, k1_nat_1(C, 1))=f7_s20_circcmb2(E, C)) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (v3_msualg_1(f5_s20_circcmb2(A, B), f4_s20_circcmb2(A, B)) &  (v4_msafree2(f5_s20_circcmb2(A, B), f4_s20_circcmb2(A, B)) &  (v4_circcomb(f5_s20_circcmb2(A, B), f4_s20_circcmb2(A, B)) &  (v6_circcomb(f5_s20_circcmb2(A, B), f4_s20_circcmb2(A, B)) & l3_msualg_1(f5_s20_circcmb2(A, B), f4_s20_circcmb2(A, B))) ) ) ) ) ) ) )  =>  (? [A] :  ( (v3_msualg_1(A, f2_s20_circcmb2) &  (v4_msafree2(A, f2_s20_circcmb2) &  (v4_circcomb(A, f2_s20_circcmb2) &  (v6_circcomb(A, f2_s20_circcmb2) & l3_msualg_1(A, f2_s20_circcmb2)) ) ) )  &  (? [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) )  &  (? [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) )  &  (? [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v1_funct_1(D) & v1_partfun1(D, k4_ordinal1)) ) )  &  (f2_s20_circcmb2=k1_funct_1(B, f8_s20_circcmb2) &  (A=k1_funct_1(C, f8_s20_circcmb2) &  (k1_funct_1(B, k5_numbers)=f1_s20_circcmb2 &  (k1_funct_1(C, k5_numbers)=f3_s20_circcmb2 &  (k1_funct_1(D, k5_numbers)=f6_s20_circcmb2 &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  & l1_msualg_1(F))  =>  (! [G] :  ( (v4_msualg_1(G, F) & l3_msualg_1(G, F))  =>  (! [H] :  (! [I] :  ( (v4_msualg_1(I, f4_s20_circcmb2(H, E)) & l3_msualg_1(I, f4_s20_circcmb2(H, E)))  =>  ( (F=k1_funct_1(B, E) &  (G=k1_funct_1(C, E) &  (H=k1_funct_1(D, E) & I=f5_s20_circcmb2(H, E)) ) )  =>  (k1_funct_1(B, k1_nat_1(E, 1))=k2_circcomb(F, f4_s20_circcmb2(H, E)) &  (k1_funct_1(C, k1_nat_1(E, 1))=k3_circcomb(F, f4_s20_circcmb2(H, E), G, I) & k1_funct_1(D, k1_nat_1(E, 1))=f7_s20_circcmb2(H, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s21_circcmb2, axiom,  ( (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (! [D] :  (v7_ordinal1(D) =>  (v4_msualg_1(f6_s21_circcmb2(A, B, C, D), f5_s21_circcmb2(A, C, D)) & l3_msualg_1(f6_s21_circcmb2(A, B, C, D), f5_s21_circcmb2(A, C, D))) ) ) ) ) ) ) )  =>  (! [A] :  ( (v3_msualg_1(A, f2_s21_circcmb2) &  (v4_msafree2(A, f2_s21_circcmb2) &  (v4_circcomb(A, f2_s21_circcmb2) &  (v6_circcomb(A, f2_s21_circcmb2) & l3_msualg_1(A, f2_s21_circcmb2)) ) ) )  =>  (! [B] :  ( (v3_msualg_1(B, f2_s21_circcmb2) &  (v4_msafree2(B, f2_s21_circcmb2) &  (v4_circcomb(B, f2_s21_circcmb2) &  (v6_circcomb(B, f2_s21_circcmb2) & l3_msualg_1(B, f2_s21_circcmb2)) ) ) )  =>  ~ ( ( (? [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) )  &  (? [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v1_funct_1(D) & v1_partfun1(D, k4_ordinal1)) ) )  &  (? [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v1_funct_1(E) & v1_partfun1(E, k4_ordinal1)) ) )  &  (f2_s21_circcmb2=k1_funct_1(C, f8_s21_circcmb2) &  (A=k1_funct_1(D, f8_s21_circcmb2) &  (k1_funct_1(C, k5_numbers)=f1_s21_circcmb2 &  (k1_funct_1(D, k5_numbers)=f3_s21_circcmb2 &  (k1_funct_1(E, k5_numbers)=f4_s21_circcmb2 &  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_msualg_1(G))  =>  (! [H] :  ( (v4_msualg_1(H, G) & l3_msualg_1(H, G))  =>  (! [I] :  ( (G=k1_funct_1(C, F) &  (H=k1_funct_1(D, F) & I=k1_funct_1(E, F)) )  =>  (k1_funct_1(C, k1_nat_1(F, 1))=f5_s21_circcmb2(G, I, F) &  (k1_funct_1(D, k1_nat_1(F, 1))=f6_s21_circcmb2(G, H, I, F) & k1_funct_1(E, k1_nat_1(F, 1))=f7_s21_circcmb2(I, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (? [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) )  &  (? [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v1_funct_1(D) & v1_partfun1(D, k4_ordinal1)) ) )  &  (? [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v1_funct_1(E) & v1_partfun1(E, k4_ordinal1)) ) )  &  (f2_s21_circcmb2=k1_funct_1(C, f8_s21_circcmb2) &  (B=k1_funct_1(D, f8_s21_circcmb2) &  (k1_funct_1(C, k5_numbers)=f1_s21_circcmb2 &  (k1_funct_1(D, k5_numbers)=f3_s21_circcmb2 &  (k1_funct_1(E, k5_numbers)=f4_s21_circcmb2 &  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_msualg_1(G))  =>  (! [H] :  ( (v4_msualg_1(H, G) & l3_msualg_1(H, G))  =>  (! [I] :  ( (G=k1_funct_1(C, F) &  (H=k1_funct_1(D, F) & I=k1_funct_1(E, F)) )  =>  (k1_funct_1(C, k1_nat_1(F, 1))=f5_s21_circcmb2(G, I, F) &  (k1_funct_1(D, k1_nat_1(F, 1))=f6_s21_circcmb2(G, H, I, F) & k1_funct_1(E, k1_nat_1(F, 1))=f7_s21_circcmb2(I, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ~ (A=B) ) ) ) ) ) ) ) ) ).
fof(s22_circcmb2, axiom,  ( ( (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (v3_msualg_1(f6_s22_circcmb2(A, B), f5_s22_circcmb2(A, B)) &  (v4_msafree2(f6_s22_circcmb2(A, B), f5_s22_circcmb2(A, B)) &  (v4_circcomb(f6_s22_circcmb2(A, B), f5_s22_circcmb2(A, B)) &  (v6_circcomb(f6_s22_circcmb2(A, B), f5_s22_circcmb2(A, B)) & l3_msualg_1(f6_s22_circcmb2(A, B), f5_s22_circcmb2(A, B))) ) ) ) ) ) )  &  ( (! [A] :  (m1_subset_1(A, k4_card_3(u3_msualg_1(f1_s22_circcmb2, f3_s22_circcmb2))) => v1_circuit2(k5_facirc_1(f1_s22_circcmb2, f3_s22_circcmb2, A, f10_s22_circcmb2(k5_numbers)), f1_s22_circcmb2, f3_s22_circcmb2)) )  &  ( (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  ( (v4_msualg_1(C, f5_s22_circcmb2(B, A)) &  (v4_msafree2(C, f5_s22_circcmb2(B, A)) & l3_msualg_1(C, f5_s22_circcmb2(B, A))) )  =>  ( (B=k1_funct_1(f7_s22_circcmb2, A) & C=f6_s22_circcmb2(B, A))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(f5_s22_circcmb2(B, A), C))) => v1_circuit2(k5_facirc_1(f5_s22_circcmb2(B, A), C, D, f10_s22_circcmb2(1)), f5_s22_circcmb2(B, A), C)) ) ) ) ) ) ) )  &  ( (? [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) )  &  (? [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) )  &  (f2_s22_circcmb2=k1_funct_1(A, f10_s22_circcmb2(2)) &  (f4_s22_circcmb2=k1_funct_1(B, f10_s22_circcmb2(2)) &  (k1_funct_1(A, k5_numbers)=f1_s22_circcmb2 &  (k1_funct_1(B, k5_numbers)=f3_s22_circcmb2 &  (k1_funct_1(f7_s22_circcmb2, k5_numbers)=f8_s22_circcmb2 &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l1_msualg_1(D))  =>  (! [E] :  ( (v4_msualg_1(E, D) & l3_msualg_1(E, D))  =>  (! [F] :  (! [G] :  ( (v4_msualg_1(G, f5_s22_circcmb2(F, C)) & l3_msualg_1(G, f5_s22_circcmb2(F, C)))  =>  ( (D=k1_funct_1(A, C) &  (E=k1_funct_1(B, C) &  (F=k1_funct_1(f7_s22_circcmb2, C) & G=f6_s22_circcmb2(F, C)) ) )  =>  (k1_funct_1(A, k1_nat_1(C, 1))=k2_circcomb(D, f5_s22_circcmb2(F, C)) &  (k1_funct_1(B, k1_nat_1(C, 1))=k3_circcomb(D, f5_s22_circcmb2(F, C), E, G) & k1_funct_1(f7_s22_circcmb2, k1_nat_1(C, 1))=f9_s22_circcmb2(F, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (v1_relat_1(k3_msafree2(f1_s22_circcmb2)) &  ~ (v1_facirc_1(k2_msafree2(f1_s22_circcmb2))) )  &  ( (k1_funct_1(f7_s22_circcmb2, k5_numbers)=f8_s22_circcmb2 & r2_hidden(f8_s22_circcmb2, k3_msafree2(f1_s22_circcmb2)))  &  ( (! [A] :  (v7_ordinal1(A) =>  (! [B] : v1_relat_1(k3_msafree2(f5_s22_circcmb2(B, A)))) ) )  &  ( (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ~ ( (B=k1_funct_1(f7_s22_circcmb2, A) & v1_facirc_1(k4_xboole_0(k2_msafree2(f5_s22_circcmb2(B, A)), k1_tarski(B)))) ) ) ) )  &  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (B=k1_funct_1(f7_s22_circcmb2, A) =>  (k1_funct_1(f7_s22_circcmb2, k1_nat_1(A, 1))=f9_s22_circcmb2(B, A) &  (r2_tarski(B, k2_msafree2(f5_s22_circcmb2(B, A))) & r2_hidden(f9_s22_circcmb2(B, A), k3_msafree2(f5_s22_circcmb2(B, A)))) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [A] :  (m1_subset_1(A, k4_card_3(u3_msualg_1(f2_s22_circcmb2, f4_s22_circcmb2))) => v1_circuit2(k5_facirc_1(f2_s22_circcmb2, f4_s22_circcmb2, A, k2_xcmplx_0(f10_s22_circcmb2(k5_numbers), k3_xcmplx_0(f10_s22_circcmb2(2), f10_s22_circcmb2(1)))), f2_s22_circcmb2, f4_s22_circcmb2)) ) ) ).
fof(dt_f1_s1_circcmb2, axiom,  ( ~ (v2_struct_0(f1_s1_circcmb2))  & l1_msualg_1(f1_s1_circcmb2)) ).
fof(dt_f3_s1_circcmb2, axiom,  (! [A, B, C] :  ( ~ (v2_struct_0(f3_s1_circcmb2(A, B, C)))  & l1_msualg_1(f3_s1_circcmb2(A, B, C))) ) ).
fof(dt_f1_s2_circcmb2, axiom,  (! [A, B, C] :  ( ~ (v2_struct_0(f1_s2_circcmb2(A, B, C)))  & l1_msualg_1(f1_s2_circcmb2(A, B, C))) ) ).
fof(dt_f3_s2_circcmb2, axiom,  (v1_relat_1(f3_s2_circcmb2) &  (v4_relat_1(f3_s2_circcmb2, k4_ordinal1) &  (v1_funct_1(f3_s2_circcmb2) & v1_partfun1(f3_s2_circcmb2, k4_ordinal1)) ) ) ).
fof(dt_f4_s2_circcmb2, axiom,  (v1_relat_1(f4_s2_circcmb2) &  (v4_relat_1(f4_s2_circcmb2, k4_ordinal1) &  (v1_funct_1(f4_s2_circcmb2) & v1_partfun1(f4_s2_circcmb2, k4_ordinal1)) ) ) ).
fof(dt_f1_s3_circcmb2, axiom,  ( ~ (v2_struct_0(f1_s3_circcmb2))  & l1_msualg_1(f1_s3_circcmb2)) ).
fof(dt_f2_s3_circcmb2, axiom,  (! [A, B, C] :  ( ~ (v2_struct_0(f2_s3_circcmb2(A, B, C)))  & l1_msualg_1(f2_s3_circcmb2(A, B, C))) ) ).
fof(dt_f4_s3_circcmb2, axiom,  (v1_relat_1(f4_s3_circcmb2) &  (v4_relat_1(f4_s3_circcmb2, k4_ordinal1) &  (v1_funct_1(f4_s3_circcmb2) & v1_partfun1(f4_s3_circcmb2, k4_ordinal1)) ) ) ).
fof(dt_f5_s3_circcmb2, axiom,  (v1_relat_1(f5_s3_circcmb2) &  (v4_relat_1(f5_s3_circcmb2, k4_ordinal1) &  (v1_funct_1(f5_s3_circcmb2) & v1_partfun1(f5_s3_circcmb2, k4_ordinal1)) ) ) ).
fof(dt_f1_s4_circcmb2, axiom,  ( ~ (v2_struct_0(f1_s4_circcmb2))  & l1_msualg_1(f1_s4_circcmb2)) ).
fof(dt_f3_s4_circcmb2, axiom,  (! [A, B, C] :  ( ~ (v2_struct_0(f3_s4_circcmb2(A, B, C)))  & l1_msualg_1(f3_s4_circcmb2(A, B, C))) ) ).
fof(dt_f5_s4_circcmb2, axiom, v7_ordinal1(f5_s4_circcmb2)).
fof(dt_f1_s5_circcmb2, axiom,  ( ~ (v2_struct_0(f1_s5_circcmb2))  & l1_msualg_1(f1_s5_circcmb2)) ).
fof(dt_f3_s5_circcmb2, axiom,  (! [A, B, C] :  ( ~ (v2_struct_0(f3_s5_circcmb2(A, B, C)))  & l1_msualg_1(f3_s5_circcmb2(A, B, C))) ) ).
fof(dt_f5_s5_circcmb2, axiom, v7_ordinal1(f5_s5_circcmb2)).
fof(dt_f1_s6_circcmb2, axiom,  ( ~ (v2_struct_0(f1_s6_circcmb2))  & l1_msualg_1(f1_s6_circcmb2)) ).
fof(dt_f3_s6_circcmb2, axiom,  (! [A, B, C] :  ( ~ (v2_struct_0(f3_s6_circcmb2(A, B, C)))  & l1_msualg_1(f3_s6_circcmb2(A, B, C))) ) ).
fof(dt_f5_s6_circcmb2, axiom, v7_ordinal1(f5_s6_circcmb2)).
fof(dt_f1_s7_circcmb2, axiom,  ( ~ (v2_struct_0(f1_s7_circcmb2))  & l1_msualg_1(f1_s7_circcmb2)) ).
fof(dt_f2_s7_circcmb2, axiom,  (! [A, B, C] :  ( ~ (v2_struct_0(f2_s7_circcmb2(A, B, C)))  & l1_msualg_1(f2_s7_circcmb2(A, B, C))) ) ).
fof(dt_f5_s7_circcmb2, axiom, v7_ordinal1(f5_s7_circcmb2)).
fof(dt_f1_s8_circcmb2, axiom,  ( ~ (v2_struct_0(f1_s8_circcmb2))  & l1_msualg_1(f1_s8_circcmb2)) ).
fof(dt_f2_s8_circcmb2, axiom,  (! [A, B] :  ( ~ (v2_struct_0(f2_s8_circcmb2(A, B)))  &  ( ~ (v11_struct_0(f2_s8_circcmb2(A, B)))  &  (v1_circcomb(f2_s8_circcmb2(A, B)) &  (v2_circcomb(f2_s8_circcmb2(A, B)) &  (v3_circcomb(f2_s8_circcmb2(A, B)) & l1_msualg_1(f2_s8_circcmb2(A, B))) ) ) ) ) ) ).
fof(dt_f5_s8_circcmb2, axiom, v7_ordinal1(f5_s8_circcmb2)).
fof(dt_f1_s9_circcmb2, axiom,  ( ~ (v2_struct_0(f1_s9_circcmb2))  & l1_msualg_1(f1_s9_circcmb2)) ).
fof(dt_f3_s9_circcmb2, axiom,  (! [A, B, C] :  ( ~ (v2_struct_0(f3_s9_circcmb2(A, B, C)))  & l1_msualg_1(f3_s9_circcmb2(A, B, C))) ) ).
fof(dt_f5_s9_circcmb2, axiom, v7_ordinal1(f5_s9_circcmb2)).
fof(dt_f1_s10_circcmb2, axiom,  ( ~ (v2_struct_0(f1_s10_circcmb2))  &  ( ~ (v11_struct_0(f1_s10_circcmb2))  &  (v1_circcomb(f1_s10_circcmb2) &  (v2_circcomb(f1_s10_circcmb2) &  (v3_circcomb(f1_s10_circcmb2) & l1_msualg_1(f1_s10_circcmb2)) ) ) ) ) ).
fof(dt_f3_s10_circcmb2, axiom,  (v1_relat_1(f3_s10_circcmb2) &  (v4_relat_1(f3_s10_circcmb2, k4_ordinal1) &  (v1_funct_1(f3_s10_circcmb2) & v1_partfun1(f3_s10_circcmb2, k4_ordinal1)) ) ) ).
fof(dt_f4_s10_circcmb2, axiom,  (! [A, B] :  ( ~ (v2_struct_0(f4_s10_circcmb2(A, B)))  &  ( ~ (v11_struct_0(f4_s10_circcmb2(A, B)))  &  (v1_circcomb(f4_s10_circcmb2(A, B)) &  (v2_circcomb(f4_s10_circcmb2(A, B)) &  (v3_circcomb(f4_s10_circcmb2(A, B)) & l1_msualg_1(f4_s10_circcmb2(A, B))) ) ) ) ) ) ).
fof(dt_f1_s11_circcmb2, axiom,  (! [A] :  ( ~ (v2_struct_0(f1_s11_circcmb2(A)))  &  ( ~ (v11_struct_0(f1_s11_circcmb2(A)))  &  (v1_circcomb(f1_s11_circcmb2(A)) &  (v2_circcomb(f1_s11_circcmb2(A)) &  (v3_circcomb(f1_s11_circcmb2(A)) & l1_msualg_1(f1_s11_circcmb2(A))) ) ) ) ) ) ).
fof(dt_f2_s11_circcmb2, axiom,  (v1_relat_1(f2_s11_circcmb2) &  (v4_relat_1(f2_s11_circcmb2, k4_ordinal1) &  (v1_funct_1(f2_s11_circcmb2) & v1_partfun1(f2_s11_circcmb2, k4_ordinal1)) ) ) ).
fof(dt_f3_s11_circcmb2, axiom,  (! [A, B] :  ( ~ (v2_struct_0(f3_s11_circcmb2(A, B)))  &  ( ~ (v11_struct_0(f3_s11_circcmb2(A, B)))  &  (v1_circcomb(f3_s11_circcmb2(A, B)) &  (v2_circcomb(f3_s11_circcmb2(A, B)) &  (v3_circcomb(f3_s11_circcmb2(A, B)) & l1_msualg_1(f3_s11_circcmb2(A, B))) ) ) ) ) ) ).
fof(dt_f1_s12_circcmb2, axiom,  ( ~ (v2_struct_0(f1_s12_circcmb2))  & l1_msualg_1(f1_s12_circcmb2)) ).
fof(dt_f2_s12_circcmb2, axiom,  (v4_msualg_1(f2_s12_circcmb2, f1_s12_circcmb2) & l3_msualg_1(f2_s12_circcmb2, f1_s12_circcmb2)) ).
fof(dt_f4_s12_circcmb2, axiom,  (! [A, B, C] :  ( ~ (v2_struct_0(f4_s12_circcmb2(A, B, C)))  & l1_msualg_1(f4_s12_circcmb2(A, B, C))) ) ).
fof(dt_f1_s13_circcmb2, axiom,  (! [A, B, C] :  ( ~ (v2_struct_0(f1_s13_circcmb2(A, B, C)))  & l1_msualg_1(f1_s13_circcmb2(A, B, C))) ) ).
fof(dt_f4_s13_circcmb2, axiom,  (v1_relat_1(f4_s13_circcmb2) &  (v4_relat_1(f4_s13_circcmb2, k4_ordinal1) &  (v1_funct_1(f4_s13_circcmb2) & v1_partfun1(f4_s13_circcmb2, k4_ordinal1)) ) ) ).
fof(dt_f5_s13_circcmb2, axiom,  (v1_relat_1(f5_s13_circcmb2) &  (v4_relat_1(f5_s13_circcmb2, k4_ordinal1) &  (v1_funct_1(f5_s13_circcmb2) & v1_partfun1(f5_s13_circcmb2, k4_ordinal1)) ) ) ).
fof(dt_f6_s13_circcmb2, axiom,  (v1_relat_1(f6_s13_circcmb2) &  (v4_relat_1(f6_s13_circcmb2, k4_ordinal1) &  (v1_funct_1(f6_s13_circcmb2) & v1_partfun1(f6_s13_circcmb2, k4_ordinal1)) ) ) ).
fof(dt_f1_s14_circcmb2, axiom,  (! [A, B, C] :  ( ~ (v2_struct_0(f1_s14_circcmb2(A, B, C)))  & l1_msualg_1(f1_s14_circcmb2(A, B, C))) ) ).
fof(dt_f4_s14_circcmb2, axiom,  (v1_relat_1(f4_s14_circcmb2) &  (v4_relat_1(f4_s14_circcmb2, k4_ordinal1) &  (v1_funct_1(f4_s14_circcmb2) & v1_partfun1(f4_s14_circcmb2, k4_ordinal1)) ) ) ).
fof(dt_f5_s14_circcmb2, axiom,  (v1_relat_1(f5_s14_circcmb2) &  (v4_relat_1(f5_s14_circcmb2, k4_ordinal1) &  (v1_funct_1(f5_s14_circcmb2) & v1_partfun1(f5_s14_circcmb2, k4_ordinal1)) ) ) ).
fof(dt_f6_s14_circcmb2, axiom,  (v1_relat_1(f6_s14_circcmb2) &  (v4_relat_1(f6_s14_circcmb2, k4_ordinal1) &  (v1_funct_1(f6_s14_circcmb2) & v1_partfun1(f6_s14_circcmb2, k4_ordinal1)) ) ) ).
fof(dt_f7_s14_circcmb2, axiom,  (v1_relat_1(f7_s14_circcmb2) &  (v4_relat_1(f7_s14_circcmb2, k4_ordinal1) &  (v1_funct_1(f7_s14_circcmb2) & v1_partfun1(f7_s14_circcmb2, k4_ordinal1)) ) ) ).
fof(dt_f8_s14_circcmb2, axiom,  (v1_relat_1(f8_s14_circcmb2) &  (v4_relat_1(f8_s14_circcmb2, k4_ordinal1) &  (v1_funct_1(f8_s14_circcmb2) & v1_partfun1(f8_s14_circcmb2, k4_ordinal1)) ) ) ).
fof(dt_f9_s14_circcmb2, axiom,  (v1_relat_1(f9_s14_circcmb2) &  (v4_relat_1(f9_s14_circcmb2, k4_ordinal1) &  (v1_funct_1(f9_s14_circcmb2) & v1_partfun1(f9_s14_circcmb2, k4_ordinal1)) ) ) ).
fof(dt_f1_s15_circcmb2, axiom,  ( ~ (v2_struct_0(f1_s15_circcmb2))  & l1_msualg_1(f1_s15_circcmb2)) ).
fof(dt_f2_s15_circcmb2, axiom,  (v4_msualg_1(f2_s15_circcmb2, f1_s15_circcmb2) & l3_msualg_1(f2_s15_circcmb2, f1_s15_circcmb2)) ).
fof(dt_f3_s15_circcmb2, axiom,  (! [A, B, C] :  ( ~ (v2_struct_0(f3_s15_circcmb2(A, B, C)))  & l1_msualg_1(f3_s15_circcmb2(A, B, C))) ) ).
fof(dt_f6_s15_circcmb2, axiom,  (v1_relat_1(f6_s15_circcmb2) &  (v4_relat_1(f6_s15_circcmb2, k4_ordinal1) &  (v1_funct_1(f6_s15_circcmb2) & v1_partfun1(f6_s15_circcmb2, k4_ordinal1)) ) ) ).
fof(dt_f7_s15_circcmb2, axiom,  (v1_relat_1(f7_s15_circcmb2) &  (v4_relat_1(f7_s15_circcmb2, k4_ordinal1) &  (v1_funct_1(f7_s15_circcmb2) & v1_partfun1(f7_s15_circcmb2, k4_ordinal1)) ) ) ).
fof(dt_f8_s15_circcmb2, axiom,  (v1_relat_1(f8_s15_circcmb2) &  (v4_relat_1(f8_s15_circcmb2, k4_ordinal1) &  (v1_funct_1(f8_s15_circcmb2) & v1_partfun1(f8_s15_circcmb2, k4_ordinal1)) ) ) ).
fof(dt_f1_s16_circcmb2, axiom,  ( ~ (v2_struct_0(f1_s16_circcmb2))  & l1_msualg_1(f1_s16_circcmb2)) ).
fof(dt_f2_s16_circcmb2, axiom,  (v4_msualg_1(f2_s16_circcmb2, f1_s16_circcmb2) & l3_msualg_1(f2_s16_circcmb2, f1_s16_circcmb2)) ).
fof(dt_f4_s16_circcmb2, axiom,  (! [A, B, C] :  ( ~ (v2_struct_0(f4_s16_circcmb2(A, B, C)))  & l1_msualg_1(f4_s16_circcmb2(A, B, C))) ) ).
fof(dt_f7_s16_circcmb2, axiom, v7_ordinal1(f7_s16_circcmb2)).
fof(dt_f1_s17_circcmb2, axiom,  ( ~ (v2_struct_0(f1_s17_circcmb2))  & l1_msualg_1(f1_s17_circcmb2)) ).
fof(dt_f2_s17_circcmb2, axiom,  ( ~ (v2_struct_0(f2_s17_circcmb2))  & l1_msualg_1(f2_s17_circcmb2)) ).
fof(dt_f3_s17_circcmb2, axiom,  (v4_msualg_1(f3_s17_circcmb2, f1_s17_circcmb2) & l3_msualg_1(f3_s17_circcmb2, f1_s17_circcmb2)) ).
fof(dt_f5_s17_circcmb2, axiom,  (! [A, B, C] :  ( ~ (v2_struct_0(f5_s17_circcmb2(A, B, C)))  & l1_msualg_1(f5_s17_circcmb2(A, B, C))) ) ).
fof(dt_f8_s17_circcmb2, axiom, v7_ordinal1(f8_s17_circcmb2)).
fof(dt_f1_s18_circcmb2, axiom,  ( ~ (v2_struct_0(f1_s18_circcmb2))  & l1_msualg_1(f1_s18_circcmb2)) ).
fof(dt_f2_s18_circcmb2, axiom,  ( ~ (v2_struct_0(f2_s18_circcmb2))  & l1_msualg_1(f2_s18_circcmb2)) ).
fof(dt_f3_s18_circcmb2, axiom,  (v4_msualg_1(f3_s18_circcmb2, f1_s18_circcmb2) & l3_msualg_1(f3_s18_circcmb2, f1_s18_circcmb2)) ).
fof(dt_f5_s18_circcmb2, axiom,  (! [A, B, C] :  ( ~ (v2_struct_0(f5_s18_circcmb2(A, B, C)))  & l1_msualg_1(f5_s18_circcmb2(A, B, C))) ) ).
fof(dt_f8_s18_circcmb2, axiom, v7_ordinal1(f8_s18_circcmb2)).
fof(dt_f1_s19_circcmb2, axiom,  ( ~ (v2_struct_0(f1_s19_circcmb2))  &  ( ~ (v11_struct_0(f1_s19_circcmb2))  &  (v1_msualg_1(f1_s19_circcmb2) &  (v1_circcomb(f1_s19_circcmb2) &  (v2_circcomb(f1_s19_circcmb2) &  (v3_circcomb(f1_s19_circcmb2) & l1_msualg_1(f1_s19_circcmb2)) ) ) ) ) ) ).
fof(dt_f2_s19_circcmb2, axiom,  ( ~ (v2_struct_0(f2_s19_circcmb2))  &  ( ~ (v11_struct_0(f2_s19_circcmb2))  &  (v1_msualg_1(f2_s19_circcmb2) &  (v1_circcomb(f2_s19_circcmb2) &  (v2_circcomb(f2_s19_circcmb2) &  (v3_circcomb(f2_s19_circcmb2) & l1_msualg_1(f2_s19_circcmb2)) ) ) ) ) ) ).
fof(dt_f3_s19_circcmb2, axiom,  (v3_msualg_1(f3_s19_circcmb2, f1_s19_circcmb2) &  (v4_msafree2(f3_s19_circcmb2, f1_s19_circcmb2) &  (v4_circcomb(f3_s19_circcmb2, f1_s19_circcmb2) &  (v6_circcomb(f3_s19_circcmb2, f1_s19_circcmb2) & l3_msualg_1(f3_s19_circcmb2, f1_s19_circcmb2)) ) ) ) ).
fof(dt_f4_s19_circcmb2, axiom,  (! [A, B, C] :  ( ~ (v2_struct_0(f4_s19_circcmb2(A, B, C)))  & l1_msualg_1(f4_s19_circcmb2(A, B, C))) ) ).
fof(dt_f8_s19_circcmb2, axiom, v7_ordinal1(f8_s19_circcmb2)).
fof(dt_k1_circcmb2, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (v4_msualg_1(k1_circcmb2(A, B), A) & l3_msualg_1(k1_circcmb2(A, B), A)) ) ) ).
fof(dt_f1_s20_circcmb2, axiom,  ( ~ (v2_struct_0(f1_s20_circcmb2))  &  ( ~ (v11_struct_0(f1_s20_circcmb2))  &  (v1_msualg_1(f1_s20_circcmb2) &  (v1_circcomb(f1_s20_circcmb2) &  (v2_circcomb(f1_s20_circcmb2) &  (v3_circcomb(f1_s20_circcmb2) & l1_msualg_1(f1_s20_circcmb2)) ) ) ) ) ) ).
fof(dt_f2_s20_circcmb2, axiom,  ( ~ (v2_struct_0(f2_s20_circcmb2))  &  ( ~ (v11_struct_0(f2_s20_circcmb2))  &  (v1_msualg_1(f2_s20_circcmb2) &  (v1_circcomb(f2_s20_circcmb2) &  (v2_circcomb(f2_s20_circcmb2) &  (v3_circcomb(f2_s20_circcmb2) & l1_msualg_1(f2_s20_circcmb2)) ) ) ) ) ) ).
fof(dt_f3_s20_circcmb2, axiom,  (v3_msualg_1(f3_s20_circcmb2, f1_s20_circcmb2) &  (v4_msafree2(f3_s20_circcmb2, f1_s20_circcmb2) &  (v4_circcomb(f3_s20_circcmb2, f1_s20_circcmb2) &  (v6_circcomb(f3_s20_circcmb2, f1_s20_circcmb2) & l3_msualg_1(f3_s20_circcmb2, f1_s20_circcmb2)) ) ) ) ).
fof(dt_f4_s20_circcmb2, axiom,  (! [A, B] :  ( ~ (v2_struct_0(f4_s20_circcmb2(A, B)))  &  ( ~ (v11_struct_0(f4_s20_circcmb2(A, B)))  &  (v1_circcomb(f4_s20_circcmb2(A, B)) &  (v2_circcomb(f4_s20_circcmb2(A, B)) &  (v3_circcomb(f4_s20_circcmb2(A, B)) & l1_msualg_1(f4_s20_circcmb2(A, B))) ) ) ) ) ) ).
fof(dt_f8_s20_circcmb2, axiom, v7_ordinal1(f8_s20_circcmb2)).
fof(dt_f1_s21_circcmb2, axiom,  ( ~ (v2_struct_0(f1_s21_circcmb2))  & l1_msualg_1(f1_s21_circcmb2)) ).
fof(dt_f2_s21_circcmb2, axiom,  ( ~ (v2_struct_0(f2_s21_circcmb2))  &  ( ~ (v11_struct_0(f2_s21_circcmb2))  &  (v1_msualg_1(f2_s21_circcmb2) &  (v1_circcomb(f2_s21_circcmb2) &  (v2_circcomb(f2_s21_circcmb2) &  (v3_circcomb(f2_s21_circcmb2) & l1_msualg_1(f2_s21_circcmb2)) ) ) ) ) ) ).
fof(dt_f3_s21_circcmb2, axiom,  (v4_msualg_1(f3_s21_circcmb2, f1_s21_circcmb2) & l3_msualg_1(f3_s21_circcmb2, f1_s21_circcmb2)) ).
fof(dt_f5_s21_circcmb2, axiom,  (! [A, B, C] :  ( ~ (v2_struct_0(f5_s21_circcmb2(A, B, C)))  & l1_msualg_1(f5_s21_circcmb2(A, B, C))) ) ).
fof(dt_f8_s21_circcmb2, axiom, v7_ordinal1(f8_s21_circcmb2)).
fof(dt_f1_s22_circcmb2, axiom,  ( ~ (v2_struct_0(f1_s22_circcmb2))  &  ( ~ (v11_struct_0(f1_s22_circcmb2))  &  (v1_msualg_1(f1_s22_circcmb2) &  (v1_circcomb(f1_s22_circcmb2) &  (v2_circcomb(f1_s22_circcmb2) &  (v3_circcomb(f1_s22_circcmb2) & l1_msualg_1(f1_s22_circcmb2)) ) ) ) ) ) ).
fof(dt_f2_s22_circcmb2, axiom,  ( ~ (v2_struct_0(f2_s22_circcmb2))  &  ( ~ (v11_struct_0(f2_s22_circcmb2))  &  (v1_msualg_1(f2_s22_circcmb2) &  (v1_circcomb(f2_s22_circcmb2) &  (v2_circcomb(f2_s22_circcmb2) &  (v3_circcomb(f2_s22_circcmb2) & l1_msualg_1(f2_s22_circcmb2)) ) ) ) ) ) ).
fof(dt_f3_s22_circcmb2, axiom,  (v3_msualg_1(f3_s22_circcmb2, f1_s22_circcmb2) &  (v4_msafree2(f3_s22_circcmb2, f1_s22_circcmb2) &  (v4_circcomb(f3_s22_circcmb2, f1_s22_circcmb2) &  (v6_circcomb(f3_s22_circcmb2, f1_s22_circcmb2) & l3_msualg_1(f3_s22_circcmb2, f1_s22_circcmb2)) ) ) ) ).
fof(dt_f4_s22_circcmb2, axiom,  (v3_msualg_1(f4_s22_circcmb2, f2_s22_circcmb2) &  (v4_msafree2(f4_s22_circcmb2, f2_s22_circcmb2) &  (v4_circcomb(f4_s22_circcmb2, f2_s22_circcmb2) &  (v6_circcomb(f4_s22_circcmb2, f2_s22_circcmb2) & l3_msualg_1(f4_s22_circcmb2, f2_s22_circcmb2)) ) ) ) ).
fof(dt_f5_s22_circcmb2, axiom,  (! [A, B] :  ( ~ (v2_struct_0(f5_s22_circcmb2(A, B)))  &  ( ~ (v11_struct_0(f5_s22_circcmb2(A, B)))  &  (v1_msualg_1(f5_s22_circcmb2(A, B)) &  (v1_circcomb(f5_s22_circcmb2(A, B)) &  (v2_circcomb(f5_s22_circcmb2(A, B)) &  (v3_circcomb(f5_s22_circcmb2(A, B)) & l1_msualg_1(f5_s22_circcmb2(A, B))) ) ) ) ) ) ) ).
fof(dt_f7_s22_circcmb2, axiom,  (v1_relat_1(f7_s22_circcmb2) &  (v4_relat_1(f7_s22_circcmb2, k4_ordinal1) &  (v1_funct_1(f7_s22_circcmb2) & v1_partfun1(f7_s22_circcmb2, k4_ordinal1)) ) ) ).
fof(dt_f10_s22_circcmb2, axiom,  (! [A] : v7_ordinal1(f10_s22_circcmb2(A))) ).
fof(cc1_circcmb3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & v3_circcmb3(B, A)) )  =>  (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & v2_circcmb3(B, A)) ) ) ) ) ) ) ).
fof(fc1_circcmb3, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v8_struct_0(k5_circcomb(B, A)) &  ( ~ (v11_struct_0(k5_circcomb(B, A)))  & v1_msualg_1(k5_circcomb(B, A))) ) ) ) ).
fof(cc2_circcmb3, axiom,  (! [A] :  (l1_msualg_1(A) =>  (v4_circcmb3(A) =>  ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  ( ~ (v11_struct_0(A))  &  (v1_msualg_1(A) &  (v1_circcomb(A) & v2_circcomb(A)) ) ) ) ) ) ) ) ).
fof(cc3_circcmb3, axiom,  (! [A] :  (l1_msualg_1(A) =>  ( ( ~ (v2_struct_0(A))  & v4_circcmb3(A))  =>  ( ~ (v2_struct_0(A))  & v5_circcomb(A)) ) ) ) ).
fof(fc2_circcmb3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  (m1_subset_1(B, k4_ordinal1) &  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, B) & v1_finseq_1(C)) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(B, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(B, A), A)))) ) ) ) )  =>  ( ~ (v11_struct_0(k5_circcomb(D, C)))  &  (v1_msualg_1(k5_circcomb(D, C)) & v4_circcmb3(k5_circcomb(D, C))) ) ) ) ).
fof(rc1_circcmb3, axiom,  (? [A] :  (l1_msualg_1(A) & v4_circcmb3(A)) ) ).
fof(cc4_circcmb3, axiom,  (! [A] :  ( (v4_circcmb3(A) & l1_msualg_1(A))  =>  (! [B] :  (l3_msualg_1(B, A) =>  ( (v4_msafree2(B, A) & v5_circcmb3(B, A))  =>  (v3_msualg_1(B, A) &  (v4_msualg_1(B, A) & v4_msafree2(B, A)) ) ) ) ) ) ) ).
fof(fc3_circcmb3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  (m1_subset_1(B, k4_ordinal1) &  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, B) & v1_finseq_1(C)) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(B, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(B, A), A)))) ) ) ) )  =>  (v3_msualg_1(k7_circcomb(B, A, D, C), k5_circcomb(D, C)) &  (v4_msualg_1(k7_circcomb(B, A, D, C), k5_circcomb(D, C)) & v5_circcmb3(k7_circcomb(B, A, D, C), k5_circcomb(D, C))) ) ) ) ).
fof(rc2_circcmb3, axiom,  (! [A] :  ( (v4_circcmb3(A) & l1_msualg_1(A))  =>  (? [B] :  (l3_msualg_1(B, A) &  (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & v5_circcmb3(B, A)) ) ) ) ) ) ).
fof(fc4_circcmb3, axiom,  (! [A] :  ( (v4_circcmb3(A) & l1_msualg_1(A))  => v1_xtuple_0(k3_circcmb3(A))) ) ).
fof(cc5_circcmb3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & v5_circcmb3(B, A)) )  =>  (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & v3_circcmb3(B, A)) ) ) ) ) ) ) ).
fof(rc3_circcmb3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (? [B] :  (m1_circcmb3(B, A) &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v14_struct_0(B) &  (v1_msualg_1(B) &  (v2_msafree2(B) &  (v1_circcomb(B) &  (v2_circcomb(B) &  (v5_circcomb(B) & v4_circcmb3(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc6_circcmb3, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  & m1_circcmb3(B, A))  =>  (! [C] :  (m2_circcmb3(C, A, B) =>  (v4_msualg_1(C, B) & v4_circcomb(C, B)) ) ) ) ) ).
fof(rc4_circcmb3, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  (v4_circcmb3(B) & m1_circcmb3(B, A)) )  =>  (? [C] :  (m2_circcmb3(C, A, B) &  (v3_msualg_1(C, B) &  (v4_msualg_1(C, B) &  (v4_msafree2(C, B) &  (v4_circcomb(C, B) & v5_circcmb3(C, B)) ) ) ) ) ) ) ) ).
fof(rc5_circcmb3, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  & m1_circcmb3(B, A))  =>  (? [C] :  (m2_circcmb3(C, A, B) &  (v3_msualg_1(C, B) &  (v4_msualg_1(C, B) &  (v4_msafree2(C, B) & v4_circcomb(C, B)) ) ) ) ) ) ) ).
fof(fc5_circcmb3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) & l1_msualg_1(A)) )  &  ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) & l1_msualg_1(B)) ) )  =>  ( ~ (v2_struct_0(k2_circcomb(A, B)))  &  (v8_struct_0(k2_circcomb(A, B)) & v1_msualg_1(k2_circcomb(A, B))) ) ) ) ).
fof(fc6_circcmb3, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  (m1_circcmb3(B, A) & m1_circcmb3(C, A)) )  =>  ( ~ (v2_struct_0(k2_circcomb(B, C)))  &  (v1_msualg_1(k2_circcomb(B, C)) & v5_circcomb(k2_circcomb(B, C))) ) ) ) ).
fof(cc7_circcmb3, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  (v8_struct_0(B) & m1_circcmb3(B, A)) )  =>  (! [C] :  (m2_circcmb3(C, A, B) => v3_circcmb3(C, B)) ) ) ) ).
fof(fc7_circcmb3, axiom,  ~ (v1_facirc_1(k4_ordinal1)) ).
fof(cc8_circcmb3, axiom,  (! [A] :  ( ~ (v1_facirc_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  ~ (v1_facirc_1(B)) ) ) ) ) ).
fof(cc9_circcmb3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v4_valued_0(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_facirc_1(A)) ) ) ) ).
fof(rc6_circcmb3, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v2_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v4_card_3(A) & v4_valued_0(A)) ) ) ) ) ) ) ) ) ).
fof(rc7_circcmb3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v2_funct_1(B) &  (v1_finset_1(B) &  (v3_card_1(B, A) &  (v1_finseq_1(B) &  (v2_finseq_1(B) &  (v4_card_3(B) & v4_valued_0(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc8_circcmb3, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_facirc_1(A)) ) )  =>  ( ~ (v11_struct_0(k5_circcomb(B, A)))  &  (v1_msualg_1(k5_circcomb(B, A)) & v6_circcmb3(k5_circcomb(B, A))) ) ) ) ).
fof(rc8_circcmb3, axiom,  (? [A] :  (l1_msualg_1(A) &  ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  ( ~ (v11_struct_0(A))  &  (v14_struct_0(A) &  (v1_msualg_1(A) &  (v2_msafree2(A) &  (v1_circcomb(A) &  (v2_circcomb(A) &  (v5_circcomb(A) &  (v4_circcmb3(A) & v6_circcmb3(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc9_circcmb3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (? [B] :  (m1_circcmb3(B, A) &  ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  ( ~ (v11_struct_0(B))  &  (v14_struct_0(B) &  (v1_msualg_1(B) &  (v2_msafree2(B) &  (v1_circcomb(B) &  (v2_circcomb(B) &  (v5_circcomb(B) &  (v4_circcmb3(B) & v6_circcmb3(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc9_circcmb3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_circcmb3(A) & l1_msualg_1(A)) )  =>  ~ (v1_facirc_1(k2_msafree2(A))) ) ) ).
fof(fc10_circcmb3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_circcomb(A) &  (v2_circcomb(A) & l1_msualg_1(A)) ) )  => v1_relat_1(k3_msafree2(A))) ) ).
fof(fc11_circcmb3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_circcomb(A) &  (v5_circcomb(A) & l1_msualg_1(A)) ) ) )  => v1_relat_1(k3_msafree2(A))) ) ).
fof(fc12_circcmb3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_circcomb(A) &  (v2_circcomb(A) &  (v6_circcmb3(A) & l1_msualg_1(A)) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v1_circcomb(B) &  (v2_circcomb(B) &  (v6_circcmb3(B) & l1_msualg_1(B)) ) ) ) )  =>  ( ~ (v2_struct_0(k2_circcomb(A, B)))  &  (v1_msualg_1(k2_circcomb(A, B)) & v6_circcmb3(k2_circcomb(A, B))) ) ) ) ).
fof(fc13_circcmb3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  ( (v6_circcmb3(B) & m1_circcmb3(B, A))  &  (m1_subset_1(C, u1_struct_0(B)) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(1, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(1, A), A)))) ) ) ) )  =>  ( ~ (v2_struct_0(k2_circcomb(B, k4_circcmb3(1, A, D, k12_finseq_1(u1_struct_0(B), C)))))  &  (v1_msualg_1(k2_circcomb(B, k4_circcmb3(1, A, D, k12_finseq_1(u1_struct_0(B), C)))) & v6_circcmb3(k2_circcomb(B, k4_circcmb3(1, A, D, k12_finseq_1(u1_struct_0(B), C))))) ) ) ) ).
fof(fc14_circcmb3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  ( (v6_circcmb3(B) & m1_circcmb3(B, A))  &  ( ~ (v1_xtuple_0(C))  &  (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(1, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(1, A), A)))) ) ) ) )  =>  ( ~ (v2_struct_0(k2_circcomb(B, k4_circcmb3(1, A, D, k9_finseq_1(C)))))  &  (v1_msualg_1(k2_circcomb(B, k4_circcmb3(1, A, D, k9_finseq_1(C)))) & v6_circcmb3(k2_circcomb(B, k4_circcmb3(1, A, D, k9_finseq_1(C))))) ) ) ) ).
fof(fc15_circcmb3, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  ( (v6_circcmb3(B) & m1_circcmb3(B, A))  &  (m1_subset_1(C, u1_struct_0(B)) &  ( ~ (v1_xtuple_0(D))  &  (v1_funct_1(E) &  (v1_funct_2(E, k4_finseq_2(2, A), A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, A), A)))) ) ) ) ) )  =>  ( ~ (v2_struct_0(k2_circcomb(B, k4_circcmb3(2, A, E, k10_finseq_1(C, D)))))  &  (v1_msualg_1(k2_circcomb(B, k4_circcmb3(2, A, E, k10_finseq_1(C, D)))) & v6_circcmb3(k2_circcomb(B, k4_circcmb3(2, A, E, k10_finseq_1(C, D))))) ) ) ) ).
fof(fc16_circcmb3, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  ( (v6_circcmb3(B) & m1_circcmb3(B, A))  &  (m1_subset_1(C, u1_struct_0(B)) &  ( ~ (v1_xtuple_0(D))  &  (v1_funct_1(E) &  (v1_funct_2(E, k4_finseq_2(2, A), A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, A), A)))) ) ) ) ) )  =>  ( ~ (v2_struct_0(k2_circcomb(B, k4_circcmb3(2, A, E, k10_finseq_1(D, C)))))  &  (v1_msualg_1(k2_circcomb(B, k4_circcmb3(2, A, E, k10_finseq_1(D, C)))) & v6_circcmb3(k2_circcomb(B, k4_circcmb3(2, A, E, k10_finseq_1(D, C))))) ) ) ) ).
fof(fc17_circcmb3, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  ( (v6_circcmb3(B) & m1_circcmb3(B, A))  &  (m1_subset_1(C, u1_struct_0(B)) &  (m1_subset_1(D, u1_struct_0(B)) &  (v1_funct_1(E) &  (v1_funct_2(E, k4_finseq_2(2, A), A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, A), A)))) ) ) ) ) )  =>  ( ~ (v2_struct_0(k2_circcomb(B, k4_circcmb3(2, A, E, k2_finseq_4(u1_struct_0(B), C, D)))))  &  (v1_msualg_1(k2_circcomb(B, k4_circcmb3(2, A, E, k2_finseq_4(u1_struct_0(B), C, D)))) & v6_circcmb3(k2_circcomb(B, k4_circcmb3(2, A, E, k2_finseq_4(u1_struct_0(B), C, D))))) ) ) ) ).
fof(fc18_circcmb3, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  ( (v6_circcmb3(B) & m1_circcmb3(B, A))  &  (m1_subset_1(C, u1_struct_0(B)) &  (m1_subset_1(D, u1_struct_0(B)) &  ( ~ (v1_xtuple_0(E))  &  (v1_funct_1(F) &  (v1_funct_2(F, k4_finseq_2(3, A), A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3, A), A)))) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k2_circcomb(B, k4_circcmb3(3, A, F, k11_finseq_1(C, D, E)))))  &  (v1_msualg_1(k2_circcomb(B, k4_circcmb3(3, A, F, k11_finseq_1(C, D, E)))) & v6_circcmb3(k2_circcomb(B, k4_circcmb3(3, A, F, k11_finseq_1(C, D, E))))) ) ) ) ).
fof(fc19_circcmb3, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  ( (v6_circcmb3(B) & m1_circcmb3(B, A))  &  (m1_subset_1(C, u1_struct_0(B)) &  (m1_subset_1(D, u1_struct_0(B)) &  ( ~ (v1_xtuple_0(E))  &  (v1_funct_1(F) &  (v1_funct_2(F, k4_finseq_2(3, A), A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3, A), A)))) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k2_circcomb(B, k4_circcmb3(3, A, F, k11_finseq_1(C, E, D)))))  &  (v1_msualg_1(k2_circcomb(B, k4_circcmb3(3, A, F, k11_finseq_1(C, E, D)))) & v6_circcmb3(k2_circcomb(B, k4_circcmb3(3, A, F, k11_finseq_1(C, E, D))))) ) ) ) ).
fof(fc20_circcmb3, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  ( (v6_circcmb3(B) & m1_circcmb3(B, A))  &  (m1_subset_1(C, u1_struct_0(B)) &  (m1_subset_1(D, u1_struct_0(B)) &  ( ~ (v1_xtuple_0(E))  &  (v1_funct_1(F) &  (v1_funct_2(F, k4_finseq_2(3, A), A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3, A), A)))) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k2_circcomb(B, k4_circcmb3(3, A, F, k11_finseq_1(E, C, D)))))  &  (v1_msualg_1(k2_circcomb(B, k4_circcmb3(3, A, F, k11_finseq_1(E, C, D)))) & v6_circcmb3(k2_circcomb(B, k4_circcmb3(3, A, F, k11_finseq_1(E, C, D))))) ) ) ) ).
fof(fc21_circcmb3, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  ( (v6_circcmb3(B) & m1_circcmb3(B, A))  &  (m1_subset_1(C, u1_struct_0(B)) &  ( ~ (v1_xtuple_0(D))  &  ( ~ (v1_xtuple_0(E))  &  (v1_funct_1(F) &  (v1_funct_2(F, k4_finseq_2(3, A), A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3, A), A)))) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k2_circcomb(B, k4_circcmb3(3, A, F, k11_finseq_1(C, D, E)))))  &  (v1_msualg_1(k2_circcomb(B, k4_circcmb3(3, A, F, k11_finseq_1(C, D, E)))) & v6_circcmb3(k2_circcomb(B, k4_circcmb3(3, A, F, k11_finseq_1(C, D, E))))) ) ) ) ).
fof(fc22_circcmb3, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  ( (v6_circcmb3(B) & m1_circcmb3(B, A))  &  (m1_subset_1(C, u1_struct_0(B)) &  ( ~ (v1_xtuple_0(D))  &  ( ~ (v1_xtuple_0(E))  &  (v1_funct_1(F) &  (v1_funct_2(F, k4_finseq_2(3, A), A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3, A), A)))) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k2_circcomb(B, k4_circcmb3(3, A, F, k11_finseq_1(D, C, E)))))  &  (v1_msualg_1(k2_circcomb(B, k4_circcmb3(3, A, F, k11_finseq_1(D, C, E)))) & v6_circcmb3(k2_circcomb(B, k4_circcmb3(3, A, F, k11_finseq_1(D, C, E))))) ) ) ) ).
fof(fc23_circcmb3, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  ( (v6_circcmb3(B) & m1_circcmb3(B, A))  &  (m1_subset_1(C, u1_struct_0(B)) &  ( ~ (v1_xtuple_0(D))  &  ( ~ (v1_xtuple_0(E))  &  (v1_funct_1(F) &  (v1_funct_2(F, k4_finseq_2(3, A), A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3, A), A)))) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k2_circcomb(B, k4_circcmb3(3, A, F, k11_finseq_1(D, E, C)))))  &  (v1_msualg_1(k2_circcomb(B, k4_circcmb3(3, A, F, k11_finseq_1(D, E, C)))) & v6_circcmb3(k2_circcomb(B, k4_circcmb3(3, A, F, k11_finseq_1(D, E, C))))) ) ) ) ).
fof(fc24_circcmb3, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  ( (v6_circcmb3(B) & m1_circcmb3(B, A))  &  (m1_subset_1(C, u1_struct_0(B)) &  (m1_subset_1(D, u1_struct_0(B)) &  (m1_subset_1(E, u1_struct_0(B)) &  (v1_funct_1(F) &  (v1_funct_2(F, k4_finseq_2(3, A), A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3, A), A)))) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k2_circcomb(B, k4_circcmb3(3, A, F, k3_finseq_4(u1_struct_0(B), C, D, E)))))  &  (v1_msualg_1(k2_circcomb(B, k4_circcmb3(3, A, F, k3_finseq_4(u1_struct_0(B), C, D, E)))) & v6_circcmb3(k2_circcomb(B, k4_circcmb3(3, A, F, k3_finseq_4(u1_struct_0(B), C, D, E))))) ) ) ) ).
fof(t1_circcmb3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) =>  (! [D] :  (r2_tarski(D, k2_msafree2(A)) =>  (! [E] :  (v7_ordinal1(E) => k1_funct_1(k5_facirc_1(A, B, C, E), D)=k1_funct_1(C, D)) ) ) ) ) ) ) ) ) ) ).
fof(d1_circcmb3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) =>  (v1_circcmb3(C, A, B) <=>  (? [D] :  (m1_subset_1(D, k4_ordinal1) & v1_circuit2(k5_facirc_1(A, B, C, D), A, B)) ) ) ) ) ) ) ) ) ).
fof(d2_circcmb3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (v2_circcmb3(B, A) <=>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) => v1_circcmb3(C, A, B)) ) ) ) ) ) ) ).
fof(d3_circcmb3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (v3_circcmb3(B, A) <=>  (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(A, B))) => v1_circuit2(k5_facirc_1(A, B, D, C), A, B)) ) ) ) ) ) ) ) ) ).
fof(d4_circcmb3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) =>  (v1_circcmb3(C, A, B) =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(A, B))) =>  (D=k1_circcmb3(A, B, C) <=>  (v1_circuit2(D, A, B) &  (? [E] :  (m1_subset_1(E, k4_ordinal1) & r8_pboole(u1_struct_0(A), D, k5_facirc_1(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_circcmb3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) =>  (v1_circcmb3(C, A, B) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (D=k2_circcmb3(A, B, C) <=>  (v1_circuit2(k5_facirc_1(A, B, C, D), A, B) &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ~ ( ( ~ (r1_xxreal_0(D, E))  & v1_circuit2(k5_facirc_1(A, B, C, E), A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_circcmb3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) =>  (v1_circcmb3(C, A, B) => r8_pboole(u1_struct_0(A), k1_circcmb3(A, B, C), k5_facirc_1(A, B, C, k2_circcmb3(A, B, C)))) ) ) ) ) ) ) ).
fof(t3_circcmb3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (v1_circuit2(k5_facirc_1(A, B, C, D), A, B) => r1_xxreal_0(k2_circcmb3(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t4_circcmb3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (v1_circuit2(k5_facirc_1(A, B, C, D), A, B) => r8_pboole(u1_struct_0(A), k1_circcmb3(A, B, C), k5_facirc_1(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t5_circcmb3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (v1_circcmb3(C, A, B) & r1_xxreal_0(k2_circcmb3(A, B, C), D))  => r8_pboole(u1_struct_0(A), k1_circcmb3(A, B, C), k5_facirc_1(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t6_circcmb3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) =>  (v1_circcmb3(C, A, B) =>  (! [D] :  (r2_tarski(D, k2_msafree2(A)) => k1_funct_1(k1_circcmb3(A, B, C), D)=k1_funct_1(C, D)) ) ) ) ) ) ) ) ) ).
fof(t7_circcmb3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  ( (r1_xboole_0(k2_msafree2(A), k3_msafree2(B)) & r1_xboole_0(k2_msafree2(B), k3_msafree2(A)))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_msafree2(C) & l1_msualg_1(C)) ) )  =>  (C=k2_circcomb(A, B) =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree2(D, A) & l3_msualg_1(D, A)) )  =>  (! [E] :  ( (v4_msualg_1(E, B) &  (v4_msafree2(E, B) & l3_msualg_1(E, B)) )  =>  (r2_circcomb(A, B, D, E) =>  (! [F] :  ( (v4_msualg_1(F, C) &  (v4_msafree2(F, C) & l3_msualg_1(F, C)) )  =>  (F=k3_circcomb(A, B, D, E) =>  (! [G] :  (m1_subset_1(G, k4_card_3(u3_msualg_1(C, F))) =>  (! [H] :  (m1_subset_1(H, k4_card_3(u3_msualg_1(A, D))) =>  (! [I] :  (m1_subset_1(I, k4_card_3(u3_msualg_1(B, E))) =>  ( (H=k5_relat_1(G, u1_struct_0(A)) &  (I=k5_relat_1(G, u1_struct_0(B)) &  (v1_circcmb3(H, A, D) & v1_circcmb3(I, B, E)) ) )  => v1_circcmb3(G, C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_circcmb3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  ( (r1_xboole_0(k2_msafree2(A), k3_msafree2(B)) & r1_xboole_0(k2_msafree2(B), k3_msafree2(A)))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_msafree2(C) & l1_msualg_1(C)) ) )  =>  (C=k2_circcomb(A, B) =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree2(D, A) & l3_msualg_1(D, A)) )  =>  (! [E] :  ( (v4_msualg_1(E, B) &  (v4_msafree2(E, B) & l3_msualg_1(E, B)) )  =>  (r2_circcomb(A, B, D, E) =>  (! [F] :  ( (v4_msualg_1(F, C) &  (v4_msafree2(F, C) & l3_msualg_1(F, C)) )  =>  (F=k3_circcomb(A, B, D, E) =>  (! [G] :  (m1_subset_1(G, k4_card_3(u3_msualg_1(C, F))) =>  (! [H] :  (m1_subset_1(H, k4_card_3(u3_msualg_1(A, D))) =>  ( (H=k5_relat_1(G, u1_struct_0(A)) & v1_circcmb3(H, A, D))  =>  (! [I] :  (m1_subset_1(I, k4_card_3(u3_msualg_1(B, E))) =>  ( (I=k5_relat_1(G, u1_struct_0(B)) & v1_circcmb3(I, B, E))  => k2_circcmb3(C, F, G)=k5_nat_1(k2_circcmb3(A, D, H), k2_circcmb3(B, E, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_circcmb3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (r1_xboole_0(k2_msafree2(A), k3_msafree2(B)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_msafree2(C) & l1_msualg_1(C)) ) )  =>  (C=k2_circcomb(A, B) =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree2(D, A) & l3_msualg_1(D, A)) )  =>  (! [E] :  ( (v4_msualg_1(E, B) &  (v4_msafree2(E, B) & l3_msualg_1(E, B)) )  =>  (r2_circcomb(A, B, D, E) =>  (! [F] :  ( (v4_msualg_1(F, C) &  (v4_msafree2(F, C) & l3_msualg_1(F, C)) )  =>  (F=k3_circcomb(A, B, D, E) =>  (! [G] :  (m1_subset_1(G, k4_card_3(u3_msualg_1(C, F))) =>  (! [H] :  (m1_subset_1(H, k4_card_3(u3_msualg_1(A, D))) =>  ( (H=k5_relat_1(G, u1_struct_0(A)) & v1_circcmb3(H, A, D))  =>  (! [I] :  (m1_subset_1(I, k4_card_3(u3_msualg_1(B, E))) =>  ( (I=k5_relat_1(k5_facirc_1(C, F, G, k2_circcmb3(A, D, H)), u1_struct_0(B)) & v1_circcmb3(I, B, E))  => v1_circcmb3(G, C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_circcmb3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (r1_xboole_0(k2_msafree2(A), k3_msafree2(B)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_msafree2(C) & l1_msualg_1(C)) ) )  =>  (C=k2_circcomb(A, B) =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree2(D, A) & l3_msualg_1(D, A)) )  =>  (! [E] :  ( (v4_msualg_1(E, B) &  (v4_msafree2(E, B) & l3_msualg_1(E, B)) )  =>  (r2_circcomb(A, B, D, E) =>  (! [F] :  ( (v4_msualg_1(F, C) &  (v4_msafree2(F, C) & l3_msualg_1(F, C)) )  =>  (F=k3_circcomb(A, B, D, E) =>  (! [G] :  (m1_subset_1(G, k4_card_3(u3_msualg_1(C, F))) =>  (! [H] :  (m1_subset_1(H, k4_card_3(u3_msualg_1(A, D))) =>  ( (H=k5_relat_1(G, u1_struct_0(A)) & v1_circcmb3(H, A, D))  =>  (! [I] :  (m1_subset_1(I, k4_card_3(u3_msualg_1(B, E))) =>  ( (I=k5_relat_1(k5_facirc_1(C, F, G, k2_circcmb3(A, D, H)), u1_struct_0(B)) & v1_circcmb3(I, B, E))  => k2_circcmb3(C, F, G)=k1_nat_1(k2_circcmb3(A, D, H), k2_circcmb3(B, E, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_circcmb3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_msafree2(C) & l1_msualg_1(C)) ) )  =>  ( (r1_xboole_0(k2_msafree2(A), k3_msafree2(B)) & C=k2_circcomb(A, B))  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree2(D, A) & l3_msualg_1(D, A)) )  =>  (! [E] :  ( (v4_msualg_1(E, B) &  (v4_msafree2(E, B) & l3_msualg_1(E, B)) )  =>  (! [F] :  ( (v4_msualg_1(F, C) &  (v4_msafree2(F, C) & l3_msualg_1(F, C)) )  =>  ( (r2_circcomb(A, B, D, E) & F=k3_circcomb(A, B, D, E))  =>  (! [G] :  (m1_subset_1(G, k4_card_3(u3_msualg_1(C, F))) =>  (! [H] :  (m1_subset_1(H, k4_card_3(u3_msualg_1(A, D))) =>  ( (H=k5_relat_1(G, u1_struct_0(A)) & v1_circcmb3(H, A, D))  =>  (! [I] :  (m1_subset_1(I, k4_card_3(u3_msualg_1(B, E))) =>  ( (I=k5_relat_1(k5_facirc_1(C, F, G, k2_circcmb3(A, D, H)), u1_struct_0(B)) & v1_circcmb3(I, B, E))  => k5_relat_1(k1_circcmb3(C, F, G), u1_struct_0(A))=k1_circcmb3(A, D, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_circcmb3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, C) & v1_finseq_1(D)) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_finseq_2(C, B), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(C, B), B)))) )  =>  (! [F] :  (m1_subset_1(F, k4_card_3(u3_msualg_1(k5_circcomb(E, D), k7_circcomb(C, B, E, D)))) => m2_finseq_2(k3_relat_1(D, F), B, k4_finseq_2(C, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_circcmb3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k10_xtuple_0(k7_finseq_4(A, B, C, D))=k2_enumset1(A, B, C, D)) ) ) ) ).
fof(t14_circcmb3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k10_xtuple_0(k8_finseq_4(A, B, C, D, E))=k3_enumset1(A, B, C, D, E)) ) ) ) ) ).
fof(d6_circcmb3, axiom,  (! [A] :  (l1_msualg_1(A) =>  (v4_circcmb3(A) <=>  (? [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  &  (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (? [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, C) & v1_finseq_1(D)) ) )  &  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_finseq_2(C, B), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(C, B), B)))) )  & A=k5_circcomb(E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_circcmb3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  (l3_msualg_1(B, A) =>  (v5_circcmb3(B, A) <=>  (? [C] :  ( ( ~ (v1_xboole_0(C))  & v1_finset_1(C))  &  (? [D] :  (m1_subset_1(D, k4_ordinal1) &  (? [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) &  (v3_card_1(E, D) & v1_finseq_1(E)) ) )  &  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_finseq_2(D, C), C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(D, C), C)))) )  &  (A=k5_circcomb(F, E) & B=k7_circcomb(D, C, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_circcmb3, axiom,  (! [A] :  ( (v4_circcmb3(A) & l1_msualg_1(A))  => k3_circcmb3(A)=k3_tarski(u4_struct_0(A))) ) ).
fof(t15_circcmb3, axiom,  (! [A] :  ( (v4_circcmb3(A) & l1_msualg_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (A=k5_circcomb(C, B) => k3_circcmb3(A)=k4_tarski(B, C)) ) ) ) ) ) ).
fof(t16_circcmb3, axiom,  (! [A] :  ( (v4_circcmb3(A) & l1_msualg_1(A))  => k3_msafree2(A)=k1_tarski(k3_circcmb3(A))) ) ).
fof(t17_circcmb3, axiom,  (! [A] :  ( (v4_circcmb3(A) & l1_msualg_1(A))  =>  (! [B] :  ( (v4_msafree2(B, A) &  (v5_circcmb3(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & v1_finset_1(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_finseq_2(C, D), D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(C, D), D)))) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) &  (v3_card_1(F, C) & v1_finseq_1(F)) ) )  =>  (B=k7_circcomb(C, D, E, F) => A=k5_circcomb(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_circcmb3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_2(A, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A, B), B)))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, A) & v1_finseq_1(D)) ) )  =>  (! [E] :  (m1_subset_1(E, k4_card_3(u3_msualg_1(k5_circcomb(C, D), k7_circcomb(A, B, C, D)))) => k1_funct_1(k6_circuit2(k5_circcomb(C, D), k7_circcomb(A, B, C, D), E), k3_circcmb3(k5_circcomb(C, D)))=k1_funct_1(C, k3_relat_1(D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t19_circcmb3, axiom,  (! [A] :  ( (v4_circcmb3(A) & l1_msualg_1(A))  =>  (! [B] :  ( (v4_msafree2(B, A) &  (v5_circcmb3(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) => v1_circuit2(k6_circuit2(A, B, C), A, B)) ) ) ) ) ) ).
fof(t20_circcmb3, axiom,  (! [A] :  ( (v4_circcmb3(A) & l1_msualg_1(A))  =>  (! [B] :  ( (v4_msafree2(B, A) &  (v5_circcmb3(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) => r8_pboole(u1_struct_0(A), k1_circcmb3(A, B, C), k6_circuit2(A, B, C))) ) ) ) ) ) ).
fof(t21_circcmb3, axiom,  (! [A] :  ( (v4_circcmb3(A) & l1_msualg_1(A))  =>  (! [B] :  ( (v4_msafree2(B, A) &  (v5_circcmb3(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) => r1_xxreal_0(k2_circcmb3(A, B, C), 1)) ) ) ) ) ) ).
fof(t22_circcmb3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (k4_finseq_2(C, A)=k4_finseq_2(D, B) =>  (C=k5_numbers |  (A=B & C=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_circcmb3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => m1_subset_1(C, u1_struct_0(k2_circcomb(A, B)))) ) ) ) ) ) ).
fof(t24_circcmb3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => m1_subset_1(C, u1_struct_0(k2_circcomb(A, B)))) ) ) ) ) ) ).
fof(d9_circcmb3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_circcomb(B) &  (v2_circcomb(B) &  (v5_circcomb(B) & l1_msualg_1(B)) ) ) ) )  =>  (m1_circcmb3(B, A) <=>  (? [C] :  ( (v4_msafree2(C, B) & l3_msualg_1(C, B))  &  (v3_funct_1(u3_msualg_1(B, C)) &  (k3_funct_1(u3_msualg_1(B, C))=A & v4_circcomb(C, B)) ) ) ) ) ) ) ) ) ).
fof(t25_circcmb3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_2(A, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A, B), B)))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, A) & v1_finseq_1(D)) ) )  => m1_circcmb3(k5_circcomb(C, D), B)) ) ) ) ) ) ) ) ).
fof(d10_circcmb3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m1_circcmb3(B, A) =>  (! [C] :  ( (v4_msafree2(C, B) & l3_msualg_1(C, B))  =>  (m2_circcmb3(C, A, B) <=>  (v4_circcomb(C, B) &  (v3_funct_1(u3_msualg_1(B, C)) & k3_funct_1(u3_msualg_1(B, C))=A) ) ) ) ) ) ) ) ) ).
fof(t26_circcmb3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_2(A, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A, B), B)))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, A) & v1_finseq_1(D)) ) )  => m2_circcmb3(k7_circcomb(A, B, C, D), B, k4_circcmb3(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t27_circcmb3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m1_circcmb3(B, A) =>  (! [C] :  (m1_circcmb3(C, A) =>  (! [D] :  (m2_circcmb3(D, A, B) =>  (! [E] :  (m2_circcmb3(E, A, C) => r2_circcomb(B, C, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(t28_circcmb3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m1_circcmb3(B, A) =>  (! [C] :  (m1_circcmb3(C, A) =>  (! [D] :  (m2_circcmb3(D, A, B) =>  (! [E] :  (m2_circcmb3(E, A, C) =>  (v4_msafree2(k3_circcomb(B, C, D, E), k2_circcomb(B, C)) & l3_msualg_1(k3_circcomb(B, C, D, E), k2_circcomb(B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_circcmb3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m1_circcmb3(B, A) =>  (! [C] :  (m1_circcmb3(C, A) =>  (! [D] :  (m2_circcmb3(D, A, B) =>  (! [E] :  (m2_circcmb3(E, A, C) => v4_circcomb(k3_circcomb(B, C, D, E), k2_circcomb(B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t30_circcmb3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m1_circcmb3(B, A) =>  (! [C] :  (m1_circcmb3(C, A) =>  (! [D] :  (m2_circcmb3(D, A, B) =>  (! [E] :  (m2_circcmb3(E, A, C) =>  (v3_funct_1(u3_msualg_1(k2_circcomb(B, C), k3_circcomb(B, C, D, E))) & k3_funct_1(u3_msualg_1(k2_circcomb(B, C), k3_circcomb(B, C, D, E)))=A) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_circcmb3, axiom,  (! [A] :  (! [B] :  (r2_tarski(k6_classes1(A), k6_classes1(k4_tarski(A, B))) & r2_tarski(k6_classes1(B), k6_classes1(k4_tarski(A, B)))) ) ) ).
fof(t32_circcmb3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  ( ~ (v11_struct_0(A))  &  (v1_circcomb(A) &  (v2_circcomb(A) &  (v5_circcomb(A) & l1_msualg_1(A)) ) ) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (v4_circcomb(B, A) => v3_circcmb3(B, A)) ) ) ) ) ).
fof(t33_circcmb3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (r2_tarski(B, k9_xtuple_0(A)) &  (r2_tarski(C, k9_xtuple_0(A)) &  (r2_tarski(D, k9_xtuple_0(A)) & r2_tarski(E, k9_xtuple_0(A))) ) )  => k3_relat_1(k7_finseq_4(B, C, D, E), A)=k7_finseq_4(k1_funct_1(A, B), k1_funct_1(A, C), k1_funct_1(A, D), k1_funct_1(A, E))) ) ) ) ) ) ) ).
fof(t34_circcmb3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( (r2_tarski(B, k9_xtuple_0(A)) &  (r2_tarski(C, k9_xtuple_0(A)) &  (r2_tarski(D, k9_xtuple_0(A)) &  (r2_tarski(E, k9_xtuple_0(A)) & r2_tarski(F, k9_xtuple_0(A))) ) ) )  => k3_relat_1(k8_finseq_4(B, C, D, E, F), A)=k8_finseq_4(k1_funct_1(A, B), k1_funct_1(A, C), k1_funct_1(A, D), k1_funct_1(A, E), k1_funct_1(A, F))) ) ) ) ) ) ) ) ).
fof(t35_circcmb3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_2(A, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A, B), B)))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, A) & v1_finseq_1(D)) ) )  =>  (! [E] :  (m1_circcmb3(E, B) =>  (r1_tarski(k10_xtuple_0(D), u1_struct_0(E)) =>  (r2_tarski(k3_circcmb3(k4_circcmb3(A, B, C, D)), k2_msafree2(E)) | k2_msafree2(k6_circcmb3(B, E, k4_circcmb3(A, B, C, D)))=k2_msafree2(E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_circcmb3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v1_finset_1(C))  =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_finseq_2(D, C), C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(D, C), C)))) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) &  (v3_card_1(F, D) & v1_finseq_1(F)) ) )  =>  (! [G] :  (m1_circcmb3(G, C) =>  ( (k10_xtuple_0(F)=k2_xboole_0(A, B) &  (r1_tarski(A, u1_struct_0(G)) & r1_xboole_0(B, k3_msafree2(G))) )  =>  (r2_tarski(k3_circcmb3(k4_circcmb3(D, C, E, F)), k2_msafree2(G)) | k2_msafree2(k6_circcmb3(C, G, k4_circcmb3(D, C, E, F)))=k2_xboole_0(k2_msafree2(G), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_circcmb3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_2(1, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(1, B), B)))) )  =>  (! [D] :  (m1_circcmb3(D, B) =>  (r2_tarski(A, u1_struct_0(D)) =>  (r2_tarski(k3_circcmb3(k4_circcmb3(1, B, C, k9_finseq_1(A))), k2_msafree2(D)) | k2_msafree2(k6_circcmb3(B, D, k4_circcmb3(1, B, C, k9_finseq_1(A))))=k2_msafree2(D)) ) ) ) ) ) ) ) ) ).
fof(t38_circcmb3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v1_finset_1(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(2, C), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, C), C)))) )  =>  (! [E] :  (m1_circcmb3(E, C) =>  (r2_tarski(A, u1_struct_0(E)) =>  (r2_tarski(B, k3_msafree2(E)) |  (r2_tarski(k3_circcmb3(k4_circcmb3(2, C, D, k10_finseq_1(A, B))), k2_msafree2(E)) | k2_msafree2(k6_circcmb3(C, E, k4_circcmb3(2, C, D, k10_finseq_1(A, B))))=k2_xboole_0(k2_msafree2(E), k1_tarski(B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_circcmb3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v1_finset_1(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(2, C), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, C), C)))) )  =>  (! [E] :  (m1_circcmb3(E, C) =>  (r2_tarski(B, u1_struct_0(E)) =>  (r2_tarski(A, k3_msafree2(E)) |  (r2_tarski(k3_circcmb3(k4_circcmb3(2, C, D, k10_finseq_1(A, B))), k2_msafree2(E)) | k2_msafree2(k6_circcmb3(C, E, k4_circcmb3(2, C, D, k10_finseq_1(A, B))))=k2_xboole_0(k2_msafree2(E), k1_tarski(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_circcmb3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v1_finset_1(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(2, C), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, C), C)))) )  =>  (! [E] :  (m1_circcmb3(E, C) =>  ( (r2_tarski(A, u1_struct_0(E)) & r2_tarski(B, u1_struct_0(E)))  =>  (r2_tarski(k3_circcmb3(k4_circcmb3(2, C, D, k10_finseq_1(A, B))), k2_msafree2(E)) | k2_msafree2(k6_circcmb3(C, E, k4_circcmb3(2, C, D, k10_finseq_1(A, B))))=k2_msafree2(E)) ) ) ) ) ) ) ) ) ) ).
fof(t41_circcmb3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ( ~ (v1_xboole_0(D))  & v1_finset_1(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_finseq_2(3, D), D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3, D), D)))) )  =>  (! [F] :  (m1_circcmb3(F, D) =>  (r2_tarski(A, u1_struct_0(F)) =>  (r2_tarski(B, k3_msafree2(F)) |  (r2_tarski(C, k3_msafree2(F)) |  (r2_tarski(k3_circcmb3(k4_circcmb3(3, D, E, k11_finseq_1(A, B, C))), k2_msafree2(F)) | k2_msafree2(k6_circcmb3(D, F, k4_circcmb3(3, D, E, k11_finseq_1(A, B, C))))=k2_xboole_0(k2_msafree2(F), k2_tarski(B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_circcmb3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ( ~ (v1_xboole_0(D))  & v1_finset_1(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_finseq_2(3, D), D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3, D), D)))) )  =>  (! [F] :  (m1_circcmb3(F, D) =>  (r2_tarski(B, u1_struct_0(F)) =>  (r2_tarski(A, k3_msafree2(F)) |  (r2_tarski(C, k3_msafree2(F)) |  (r2_tarski(k3_circcmb3(k4_circcmb3(3, D, E, k11_finseq_1(A, B, C))), k2_msafree2(F)) | k2_msafree2(k6_circcmb3(D, F, k4_circcmb3(3, D, E, k11_finseq_1(A, B, C))))=k2_xboole_0(k2_msafree2(F), k2_tarski(A, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_circcmb3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ( ~ (v1_xboole_0(D))  & v1_finset_1(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_finseq_2(3, D), D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3, D), D)))) )  =>  (! [F] :  (m1_circcmb3(F, D) =>  (r2_tarski(C, u1_struct_0(F)) =>  (r2_tarski(A, k3_msafree2(F)) |  (r2_tarski(B, k3_msafree2(F)) |  (r2_tarski(k3_circcmb3(k4_circcmb3(3, D, E, k11_finseq_1(A, B, C))), k2_msafree2(F)) | k2_msafree2(k6_circcmb3(D, F, k4_circcmb3(3, D, E, k11_finseq_1(A, B, C))))=k2_xboole_0(k2_msafree2(F), k2_tarski(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_circcmb3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ( ~ (v1_xboole_0(D))  & v1_finset_1(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_finseq_2(3, D), D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3, D), D)))) )  =>  (! [F] :  (m1_circcmb3(F, D) =>  ( (r2_tarski(A, u1_struct_0(F)) & r2_tarski(B, u1_struct_0(F)))  =>  (r2_tarski(C, k3_msafree2(F)) |  (r2_tarski(k3_circcmb3(k4_circcmb3(3, D, E, k11_finseq_1(A, B, C))), k2_msafree2(F)) | k2_msafree2(k6_circcmb3(D, F, k4_circcmb3(3, D, E, k11_finseq_1(A, B, C))))=k2_xboole_0(k2_msafree2(F), k1_tarski(C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_circcmb3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ( ~ (v1_xboole_0(D))  & v1_finset_1(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_finseq_2(3, D), D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3, D), D)))) )  =>  (! [F] :  (m1_circcmb3(F, D) =>  ( (r2_tarski(A, u1_struct_0(F)) & r2_tarski(C, u1_struct_0(F)))  =>  (r2_tarski(B, k3_msafree2(F)) |  (r2_tarski(k3_circcmb3(k4_circcmb3(3, D, E, k11_finseq_1(A, B, C))), k2_msafree2(F)) | k2_msafree2(k6_circcmb3(D, F, k4_circcmb3(3, D, E, k11_finseq_1(A, B, C))))=k2_xboole_0(k2_msafree2(F), k1_tarski(B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_circcmb3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ( ~ (v1_xboole_0(D))  & v1_finset_1(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_finseq_2(3, D), D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3, D), D)))) )  =>  (! [F] :  (m1_circcmb3(F, D) =>  ( (r2_tarski(B, u1_struct_0(F)) & r2_tarski(C, u1_struct_0(F)))  =>  (r2_tarski(A, k3_msafree2(F)) |  (r2_tarski(k3_circcmb3(k4_circcmb3(3, D, E, k11_finseq_1(A, B, C))), k2_msafree2(F)) | k2_msafree2(k6_circcmb3(D, F, k4_circcmb3(3, D, E, k11_finseq_1(A, B, C))))=k2_xboole_0(k2_msafree2(F), k1_tarski(A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_circcmb3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ( ~ (v1_xboole_0(D))  & v1_finset_1(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_finseq_2(3, D), D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3, D), D)))) )  =>  (! [F] :  (m1_circcmb3(F, D) =>  ( (r2_tarski(A, u1_struct_0(F)) &  (r2_tarski(B, u1_struct_0(F)) & r2_tarski(C, u1_struct_0(F))) )  =>  (r2_tarski(k3_circcmb3(k4_circcmb3(3, D, E, k11_finseq_1(A, B, C))), k2_msafree2(F)) | k2_msafree2(k6_circcmb3(D, F, k4_circcmb3(3, D, E, k11_finseq_1(A, B, C))))=k2_msafree2(F)) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_circcmb3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v8_struct_0(B) & m1_circcmb3(B, A))  =>  (! [C] :  (m2_circcmb3(C, A, B) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_finseq_2(D, A), A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(D, A), A)))) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) &  (v3_card_1(F, D) & v1_finseq_1(F)) ) )  =>  ( ~ (r2_tarski(k3_circcmb3(k4_circcmb3(D, A, E, F)), k2_msafree2(B)))  =>  (! [G] :  (m1_subset_1(G, k4_card_3(u3_msualg_1(k6_circcmb3(A, B, k4_circcmb3(D, A, E, F)), k7_circcmb3(A, B, k4_circcmb3(D, A, E, F), C, k5_circcmb3(D, A, E, F))))) =>  (! [H] :  (m1_subset_1(H, k4_card_3(u3_msualg_1(B, C))) =>  (H=k5_relat_1(G, u1_struct_0(B)) => r1_xxreal_0(k2_circcmb3(k6_circcmb3(A, B, k4_circcmb3(D, A, E, F)), k7_circcmb3(A, B, k4_circcmb3(D, A, E, F), C, k5_circcmb3(D, A, E, F)), G), k1_nat_1(1, k2_circcmb3(B, C, H)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_circcmb3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (v6_circcmb3(A) <=>  ~ (v1_facirc_1(k2_msafree2(A))) ) ) ) ).
fof(t49_circcmb3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_circcmb3(A) & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v1_xtuple_0(B) => r2_tarski(B, k3_msafree2(A))) ) ) ) ) ).
fof(t50_circcmb3, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  (v1_relat_1(B) =>  ~ (r2_tarski(A, B)) ) ) ) ) ).
fof(t51_circcmb3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_2(1, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(1, B), B)))) )  =>  (! [D] :  ( (v6_circcmb3(D) & m1_circcmb3(D, B))  =>  ( ~ ( ( ~ (r2_tarski(A, u1_struct_0(D)))  & v1_xtuple_0(A)) )  => v6_circcmb3(k6_circcmb3(B, D, k4_circcmb3(1, B, C, k9_finseq_1(A))))) ) ) ) ) ) ) ) ).
fof(t52_circcmb3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v1_finset_1(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(2, C), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, C), C)))) )  =>  (! [E] :  ( (v6_circcmb3(E) & m1_circcmb3(E, C))  =>  ~ ( ( ~ ( ( ~ (r2_tarski(A, u1_struct_0(E)))  & v1_xtuple_0(A)) )  &  ( ~ ( ( ~ (r2_tarski(B, u1_struct_0(E)))  & v1_xtuple_0(B)) )  &  ~ (v6_circcmb3(k6_circcmb3(C, E, k4_circcmb3(2, C, D, k10_finseq_1(A, B))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_circcmb3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ( ~ (v1_xboole_0(D))  & v1_finset_1(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_finseq_2(3, D), D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3, D), D)))) )  =>  (! [F] :  ( (v6_circcmb3(F) & m1_circcmb3(F, D))  =>  ~ ( ( ~ ( ( ~ (r2_tarski(A, u1_struct_0(F)))  & v1_xtuple_0(A)) )  &  ( ~ ( ( ~ (r2_tarski(B, u1_struct_0(F)))  & v1_xtuple_0(B)) )  &  ( ~ ( ( ~ (r2_tarski(C, u1_struct_0(F)))  & v1_xtuple_0(C)) )  &  ~ (v6_circcmb3(k6_circcmb3(D, F, k4_circcmb3(3, D, E, k11_finseq_1(A, B, C))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_circcmb3, axiom,  (? [A] :  ( (v4_circcmb3(A) & l1_msualg_1(A))  &  (? [B] :  ( (v4_msafree2(B, A) &  (v5_circcmb3(B, A) & l3_msualg_1(B, A)) )  &  (k2_msafree2(A)=k1_tarski(f1_s1_circcmb3) &  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) => k1_funct_1(k1_circcmb3(A, B, C), k3_circcmb3(A))=f3_s1_circcmb3(k1_funct_1(C, f1_s1_circcmb3))) ) ) ) ) ) ) ).
fof(s2_circcmb3, axiom,  (? [A] :  ( (v4_circcmb3(A) & l1_msualg_1(A))  &  (? [B] :  ( (v4_msafree2(B, A) &  (v5_circcmb3(B, A) & l3_msualg_1(B, A)) )  &  (k2_msafree2(A)=k2_tarski(f1_s2_circcmb3, f2_s2_circcmb3) &  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) => k1_funct_1(k1_circcmb3(A, B, C), k3_circcmb3(A))=f4_s2_circcmb3(k1_funct_1(C, f1_s2_circcmb3), k1_funct_1(C, f2_s2_circcmb3))) ) ) ) ) ) ) ).
fof(s3_circcmb3, axiom,  (? [A] :  ( (v4_circcmb3(A) & l1_msualg_1(A))  &  (? [B] :  ( (v4_msafree2(B, A) &  (v5_circcmb3(B, A) & l3_msualg_1(B, A)) )  &  (k2_msafree2(A)=k1_enumset1(f1_s3_circcmb3, f2_s3_circcmb3, f3_s3_circcmb3) &  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) => k1_funct_1(k1_circcmb3(A, B, C), k3_circcmb3(A))=f5_s3_circcmb3(k1_funct_1(C, f1_s3_circcmb3), k1_funct_1(C, f2_s3_circcmb3), k1_funct_1(C, f3_s3_circcmb3))) ) ) ) ) ) ) ).
fof(s4_circcmb3, axiom,  (? [A] :  ( (v4_circcmb3(A) & l1_msualg_1(A))  &  (? [B] :  ( (v4_msafree2(B, A) &  (v5_circcmb3(B, A) & l3_msualg_1(B, A)) )  &  (k2_msafree2(A)=k2_enumset1(f1_s4_circcmb3, f2_s4_circcmb3, f3_s4_circcmb3, f4_s4_circcmb3) &  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) => k1_funct_1(k1_circcmb3(A, B, C), k3_circcmb3(A))=f6_s4_circcmb3(k1_funct_1(C, f1_s4_circcmb3), k1_funct_1(C, f2_s4_circcmb3), k1_funct_1(C, f3_s4_circcmb3), k1_funct_1(C, f4_s4_circcmb3))) ) ) ) ) ) ) ).
fof(s5_circcmb3, axiom,  (? [A] :  ( (v4_circcmb3(A) & l1_msualg_1(A))  &  (? [B] :  ( (v4_msafree2(B, A) &  (v5_circcmb3(B, A) & l3_msualg_1(B, A)) )  &  (k2_msafree2(A)=k3_enumset1(f1_s5_circcmb3, f2_s5_circcmb3, f3_s5_circcmb3, f4_s5_circcmb3, f5_s5_circcmb3) &  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) => k1_funct_1(k1_circcmb3(A, B, C), k3_circcmb3(A))=f7_s5_circcmb3(k1_funct_1(C, f1_s5_circcmb3), k1_funct_1(C, f2_s5_circcmb3), k1_funct_1(C, f3_s5_circcmb3), k1_funct_1(C, f4_s5_circcmb3), k1_funct_1(C, f5_s5_circcmb3))) ) ) ) ) ) ) ).
fof(s6_circcmb3, axiom,  ( (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(1, f1_s6_circcmb3), f1_s6_circcmb3) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(1, f1_s6_circcmb3), f1_s6_circcmb3)))) )  &  (! [B] :  (m1_subset_1(B, f1_s6_circcmb3) => k1_funct_1(A, k12_finseq_1(f1_s6_circcmb3, B))=f2_s6_circcmb3(B)) ) ) )  &  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(1, f1_s6_circcmb3), f1_s6_circcmb3) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(1, f1_s6_circcmb3), f1_s6_circcmb3)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_2(1, f1_s6_circcmb3), f1_s6_circcmb3) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(1, f1_s6_circcmb3), f1_s6_circcmb3)))) )  =>  ( ( (! [C] :  (m1_subset_1(C, f1_s6_circcmb3) => k1_funct_1(A, k12_finseq_1(f1_s6_circcmb3, C))=f2_s6_circcmb3(C)) )  &  (! [C] :  (m1_subset_1(C, f1_s6_circcmb3) => k1_funct_1(B, k12_finseq_1(f1_s6_circcmb3, C))=f2_s6_circcmb3(C)) ) )  => r2_funct_2(k4_finseq_2(1, f1_s6_circcmb3), f1_s6_circcmb3, A, B)) ) ) ) ) ) ).
fof(s7_circcmb3, axiom,  ( (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(2, f1_s7_circcmb3), f1_s7_circcmb3) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, f1_s7_circcmb3), f1_s7_circcmb3)))) )  &  (! [B] :  (m1_subset_1(B, f1_s7_circcmb3) =>  (! [C] :  (m1_subset_1(C, f1_s7_circcmb3) => k1_funct_1(A, k2_finseq_4(f1_s7_circcmb3, B, C))=f2_s7_circcmb3(B, C)) ) ) ) ) )  &  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(2, f1_s7_circcmb3), f1_s7_circcmb3) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, f1_s7_circcmb3), f1_s7_circcmb3)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_2(2, f1_s7_circcmb3), f1_s7_circcmb3) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, f1_s7_circcmb3), f1_s7_circcmb3)))) )  =>  ( ( (! [C] :  (m1_subset_1(C, f1_s7_circcmb3) =>  (! [D] :  (m1_subset_1(D, f1_s7_circcmb3) => k1_funct_1(A, k2_finseq_4(f1_s7_circcmb3, C, D))=f2_s7_circcmb3(C, D)) ) ) )  &  (! [C] :  (m1_subset_1(C, f1_s7_circcmb3) =>  (! [D] :  (m1_subset_1(D, f1_s7_circcmb3) => k1_funct_1(B, k2_finseq_4(f1_s7_circcmb3, C, D))=f2_s7_circcmb3(C, D)) ) ) ) )  => r2_funct_2(k4_finseq_2(2, f1_s7_circcmb3), f1_s7_circcmb3, A, B)) ) ) ) ) ) ).
fof(s8_circcmb3, axiom,  ( (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(3, f1_s8_circcmb3), f1_s8_circcmb3) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3, f1_s8_circcmb3), f1_s8_circcmb3)))) )  &  (! [B] :  (m1_subset_1(B, f1_s8_circcmb3) =>  (! [C] :  (m1_subset_1(C, f1_s8_circcmb3) =>  (! [D] :  (m1_subset_1(D, f1_s8_circcmb3) => k1_funct_1(A, k3_finseq_4(f1_s8_circcmb3, B, C, D))=f2_s8_circcmb3(B, C, D)) ) ) ) ) ) ) )  &  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(3, f1_s8_circcmb3), f1_s8_circcmb3) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3, f1_s8_circcmb3), f1_s8_circcmb3)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_2(3, f1_s8_circcmb3), f1_s8_circcmb3) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3, f1_s8_circcmb3), f1_s8_circcmb3)))) )  =>  ( ( (! [C] :  (m1_subset_1(C, f1_s8_circcmb3) =>  (! [D] :  (m1_subset_1(D, f1_s8_circcmb3) =>  (! [E] :  (m1_subset_1(E, f1_s8_circcmb3) => k1_funct_1(A, k3_finseq_4(f1_s8_circcmb3, C, D, E))=f2_s8_circcmb3(C, D, E)) ) ) ) ) )  &  (! [C] :  (m1_subset_1(C, f1_s8_circcmb3) =>  (! [D] :  (m1_subset_1(D, f1_s8_circcmb3) =>  (! [E] :  (m1_subset_1(E, f1_s8_circcmb3) => k1_funct_1(B, k3_finseq_4(f1_s8_circcmb3, C, D, E))=f2_s8_circcmb3(C, D, E)) ) ) ) ) ) )  => r2_funct_2(k4_finseq_2(3, f1_s8_circcmb3), f1_s8_circcmb3, A, B)) ) ) ) ) ) ).
fof(s9_circcmb3, axiom,  ( (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(1, f2_s9_circcmb3), f2_s9_circcmb3) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(1, f2_s9_circcmb3), f2_s9_circcmb3)))) )  =>  (r2_funct_2(k4_finseq_2(1, f2_s9_circcmb3), f2_s9_circcmb3, A, f4_s9_circcmb3) <=>  (! [B] :  (m1_subset_1(B, f2_s9_circcmb3) => k1_funct_1(A, k12_finseq_1(f2_s9_circcmb3, B))=f3_s9_circcmb3(B)) ) ) ) )  =>  (! [A] :  (m1_subset_1(A, k4_card_3(u3_msualg_1(k5_circcomb(f4_s9_circcmb3, k9_finseq_1(f1_s9_circcmb3)), k5_circcmb3(1, f2_s9_circcmb3, f4_s9_circcmb3, k9_finseq_1(f1_s9_circcmb3))))) =>  (! [B] :  (m1_subset_1(B, f2_s9_circcmb3) =>  (B=k1_funct_1(A, f1_s9_circcmb3) => k1_funct_1(k1_circcmb3(k5_circcomb(f4_s9_circcmb3, k9_finseq_1(f1_s9_circcmb3)), k5_circcmb3(1, f2_s9_circcmb3, f4_s9_circcmb3, k9_finseq_1(f1_s9_circcmb3)), A), k3_circcmb3(k4_circcmb3(1, f2_s9_circcmb3, f4_s9_circcmb3, k9_finseq_1(f1_s9_circcmb3))))=f3_s9_circcmb3(B)) ) ) ) ) ) ).
fof(s10_circcmb3, axiom,  ( (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(2, f3_s10_circcmb3), f3_s10_circcmb3) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, f3_s10_circcmb3), f3_s10_circcmb3)))) )  =>  (r2_funct_2(k4_finseq_2(2, f3_s10_circcmb3), f3_s10_circcmb3, A, f5_s10_circcmb3) <=>  (! [B] :  (m1_subset_1(B, f3_s10_circcmb3) =>  (! [C] :  (m1_subset_1(C, f3_s10_circcmb3) => k1_funct_1(A, k2_finseq_4(f3_s10_circcmb3, B, C))=f4_s10_circcmb3(B, C)) ) ) ) ) ) )  =>  (! [A] :  (m1_subset_1(A, k4_card_3(u3_msualg_1(k5_circcomb(f5_s10_circcmb3, k10_finseq_1(f1_s10_circcmb3, f2_s10_circcmb3)), k5_circcmb3(2, f3_s10_circcmb3, f5_s10_circcmb3, k10_finseq_1(f1_s10_circcmb3, f2_s10_circcmb3))))) =>  (! [B] :  (m1_subset_1(B, f3_s10_circcmb3) =>  (! [C] :  (m1_subset_1(C, f3_s10_circcmb3) =>  ( (B=k1_funct_1(A, f1_s10_circcmb3) & C=k1_funct_1(A, f2_s10_circcmb3))  => k1_funct_1(k1_circcmb3(k5_circcomb(f5_s10_circcmb3, k10_finseq_1(f1_s10_circcmb3, f2_s10_circcmb3)), k5_circcmb3(2, f3_s10_circcmb3, f5_s10_circcmb3, k10_finseq_1(f1_s10_circcmb3, f2_s10_circcmb3)), A), k3_circcmb3(k4_circcmb3(2, f3_s10_circcmb3, f5_s10_circcmb3, k10_finseq_1(f1_s10_circcmb3, f2_s10_circcmb3))))=f4_s10_circcmb3(B, C)) ) ) ) ) ) ) ) ).
fof(s11_circcmb3, axiom,  ( (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(3, f4_s11_circcmb3), f4_s11_circcmb3) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3, f4_s11_circcmb3), f4_s11_circcmb3)))) )  =>  (r2_funct_2(k4_finseq_2(3, f4_s11_circcmb3), f4_s11_circcmb3, A, f6_s11_circcmb3) <=>  (! [B] :  (m1_subset_1(B, f4_s11_circcmb3) =>  (! [C] :  (m1_subset_1(C, f4_s11_circcmb3) =>  (! [D] :  (m1_subset_1(D, f4_s11_circcmb3) => k1_funct_1(A, k3_finseq_4(f4_s11_circcmb3, B, C, D))=f5_s11_circcmb3(B, C, D)) ) ) ) ) ) ) ) )  =>  (! [A] :  (m1_subset_1(A, k4_card_3(u3_msualg_1(k5_circcomb(f6_s11_circcmb3, k11_finseq_1(f1_s11_circcmb3, f2_s11_circcmb3, f3_s11_circcmb3)), k5_circcmb3(3, f4_s11_circcmb3, f6_s11_circcmb3, k11_finseq_1(f1_s11_circcmb3, f2_s11_circcmb3, f3_s11_circcmb3))))) =>  (! [B] :  (m1_subset_1(B, f4_s11_circcmb3) =>  (! [C] :  (m1_subset_1(C, f4_s11_circcmb3) =>  (! [D] :  (m1_subset_1(D, f4_s11_circcmb3) =>  ( (B=k1_funct_1(A, f1_s11_circcmb3) &  (C=k1_funct_1(A, f2_s11_circcmb3) & D=k1_funct_1(A, f3_s11_circcmb3)) )  => k1_funct_1(k1_circcmb3(k5_circcomb(f6_s11_circcmb3, k11_finseq_1(f1_s11_circcmb3, f2_s11_circcmb3, f3_s11_circcmb3)), k5_circcmb3(3, f4_s11_circcmb3, f6_s11_circcmb3, k11_finseq_1(f1_s11_circcmb3, f2_s11_circcmb3, f3_s11_circcmb3)), A), k3_circcmb3(k4_circcmb3(3, f4_s11_circcmb3, f6_s11_circcmb3, k11_finseq_1(f1_s11_circcmb3, f2_s11_circcmb3, f3_s11_circcmb3))))=f5_s11_circcmb3(B, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(s12_circcmb3, axiom,  ( (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(4, f5_s12_circcmb3), f5_s12_circcmb3) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4, f5_s12_circcmb3), f5_s12_circcmb3)))) )  =>  (r2_funct_2(k4_finseq_2(4, f5_s12_circcmb3), f5_s12_circcmb3, A, f7_s12_circcmb3) <=>  (! [B] :  (m1_subset_1(B, f5_s12_circcmb3) =>  (! [C] :  (m1_subset_1(C, f5_s12_circcmb3) =>  (! [D] :  (m1_subset_1(D, f5_s12_circcmb3) =>  (! [E] :  (m1_subset_1(E, f5_s12_circcmb3) => k1_funct_1(A, k9_finseq_4(f5_s12_circcmb3, B, C, D, E))=f6_s12_circcmb3(B, C, D, E)) ) ) ) ) ) ) ) ) ) )  =>  (! [A] :  (m1_subset_1(A, k4_card_3(u3_msualg_1(k5_circcomb(f7_s12_circcmb3, k7_finseq_4(f1_s12_circcmb3, f2_s12_circcmb3, f3_s12_circcmb3, f4_s12_circcmb3)), k5_circcmb3(4, f5_s12_circcmb3, f7_s12_circcmb3, k7_finseq_4(f1_s12_circcmb3, f2_s12_circcmb3, f3_s12_circcmb3, f4_s12_circcmb3))))) =>  (! [B] :  (m1_subset_1(B, f5_s12_circcmb3) =>  (! [C] :  (m1_subset_1(C, f5_s12_circcmb3) =>  (! [D] :  (m1_subset_1(D, f5_s12_circcmb3) =>  (! [E] :  (m1_subset_1(E, f5_s12_circcmb3) =>  ( (B=k1_funct_1(A, f1_s12_circcmb3) &  (C=k1_funct_1(A, f2_s12_circcmb3) &  (D=k1_funct_1(A, f3_s12_circcmb3) & E=k1_funct_1(A, f4_s12_circcmb3)) ) )  => k1_funct_1(k1_circcmb3(k5_circcomb(f7_s12_circcmb3, k7_finseq_4(f1_s12_circcmb3, f2_s12_circcmb3, f3_s12_circcmb3, f4_s12_circcmb3)), k5_circcmb3(4, f5_s12_circcmb3, f7_s12_circcmb3, k7_finseq_4(f1_s12_circcmb3, f2_s12_circcmb3, f3_s12_circcmb3, f4_s12_circcmb3)), A), k3_circcmb3(k4_circcmb3(4, f5_s12_circcmb3, f7_s12_circcmb3, k7_finseq_4(f1_s12_circcmb3, f2_s12_circcmb3, f3_s12_circcmb3, f4_s12_circcmb3))))=f6_s12_circcmb3(B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s13_circcmb3, axiom,  ( (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(5, f6_s13_circcmb3), f6_s13_circcmb3) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(5, f6_s13_circcmb3), f6_s13_circcmb3)))) )  =>  (r2_funct_2(k4_finseq_2(5, f6_s13_circcmb3), f6_s13_circcmb3, A, f8_s13_circcmb3) <=>  (! [B] :  (m1_subset_1(B, f6_s13_circcmb3) =>  (! [C] :  (m1_subset_1(C, f6_s13_circcmb3) =>  (! [D] :  (m1_subset_1(D, f6_s13_circcmb3) =>  (! [E] :  (m1_subset_1(E, f6_s13_circcmb3) =>  (! [F] :  (m1_subset_1(F, f6_s13_circcmb3) => k1_funct_1(A, k10_finseq_4(f6_s13_circcmb3, B, C, D, E, F))=f7_s13_circcmb3(B, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [A] :  (m1_subset_1(A, k4_card_3(u3_msualg_1(k5_circcomb(f8_s13_circcmb3, k8_finseq_4(f1_s13_circcmb3, f2_s13_circcmb3, f3_s13_circcmb3, f4_s13_circcmb3, f5_s13_circcmb3)), k5_circcmb3(5, f6_s13_circcmb3, f8_s13_circcmb3, k8_finseq_4(f1_s13_circcmb3, f2_s13_circcmb3, f3_s13_circcmb3, f4_s13_circcmb3, f5_s13_circcmb3))))) =>  (! [B] :  (m1_subset_1(B, f6_s13_circcmb3) =>  (! [C] :  (m1_subset_1(C, f6_s13_circcmb3) =>  (! [D] :  (m1_subset_1(D, f6_s13_circcmb3) =>  (! [E] :  (m1_subset_1(E, f6_s13_circcmb3) =>  (! [F] :  (m1_subset_1(F, f6_s13_circcmb3) =>  ( (B=k1_funct_1(A, f1_s13_circcmb3) &  (C=k1_funct_1(A, f2_s13_circcmb3) &  (D=k1_funct_1(A, f3_s13_circcmb3) &  (E=k1_funct_1(A, f4_s13_circcmb3) & F=k1_funct_1(A, f5_s13_circcmb3)) ) ) )  => k1_funct_1(k1_circcmb3(k5_circcomb(f8_s13_circcmb3, k8_finseq_4(f1_s13_circcmb3, f2_s13_circcmb3, f3_s13_circcmb3, f4_s13_circcmb3, f5_s13_circcmb3)), k5_circcmb3(5, f6_s13_circcmb3, f8_s13_circcmb3, k8_finseq_4(f1_s13_circcmb3, f2_s13_circcmb3, f3_s13_circcmb3, f4_s13_circcmb3, f5_s13_circcmb3)), A), k3_circcmb3(k4_circcmb3(5, f6_s13_circcmb3, f8_s13_circcmb3, k8_finseq_4(f1_s13_circcmb3, f2_s13_circcmb3, f3_s13_circcmb3, f4_s13_circcmb3, f5_s13_circcmb3))))=f7_s13_circcmb3(B, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s14_circcmb3, axiom,  ( ( (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(1, f2_s14_circcmb3), f2_s14_circcmb3) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(1, f2_s14_circcmb3), f2_s14_circcmb3)))) )  =>  (r2_funct_2(k4_finseq_2(1, f2_s14_circcmb3), f2_s14_circcmb3, A, f6_s14_circcmb3) <=>  (! [B] :  (m1_subset_1(B, f2_s14_circcmb3) => k1_funct_1(A, k12_finseq_1(f2_s14_circcmb3, B))=f3_s14_circcmb3(B)) ) ) ) )  &  ~ (r2_tarski(k3_circcmb3(k4_circcmb3(1, f2_s14_circcmb3, f6_s14_circcmb3, k9_finseq_1(f1_s14_circcmb3))), k2_msafree2(f4_s14_circcmb3))) )  =>  (! [A] :  (m1_subset_1(A, k4_card_3(u3_msualg_1(k6_circcmb3(f2_s14_circcmb3, f4_s14_circcmb3, k4_circcmb3(1, f2_s14_circcmb3, f6_s14_circcmb3, k9_finseq_1(f1_s14_circcmb3))), k7_circcmb3(f2_s14_circcmb3, f4_s14_circcmb3, k4_circcmb3(1, f2_s14_circcmb3, f6_s14_circcmb3, k9_finseq_1(f1_s14_circcmb3)), f5_s14_circcmb3, k5_circcmb3(1, f2_s14_circcmb3, f6_s14_circcmb3, k9_finseq_1(f1_s14_circcmb3)))))) =>  (! [B] :  (m1_subset_1(B, k4_card_3(u3_msualg_1(f4_s14_circcmb3, f5_s14_circcmb3))) =>  (B=k5_relat_1(A, u1_struct_0(f4_s14_circcmb3)) =>  (! [C] :  (m1_subset_1(C, f2_s14_circcmb3) =>  ~ ( ( (r2_hidden(f1_s14_circcmb3, k3_msafree2(f4_s14_circcmb3)) => C=k1_funct_1(k1_circcmb3(f4_s14_circcmb3, f5_s14_circcmb3, B), f1_s14_circcmb3))  &  ( ( ~ (r2_hidden(f1_s14_circcmb3, k3_msafree2(f4_s14_circcmb3)))  => C=k1_funct_1(A, f1_s14_circcmb3))  &  ~ (k1_funct_1(k1_circcmb3(k6_circcmb3(f2_s14_circcmb3, f4_s14_circcmb3, k4_circcmb3(1, f2_s14_circcmb3, f6_s14_circcmb3, k9_finseq_1(f1_s14_circcmb3))), k7_circcmb3(f2_s14_circcmb3, f4_s14_circcmb3, k4_circcmb3(1, f2_s14_circcmb3, f6_s14_circcmb3, k9_finseq_1(f1_s14_circcmb3)), f5_s14_circcmb3, k5_circcmb3(1, f2_s14_circcmb3, f6_s14_circcmb3, k9_finseq_1(f1_s14_circcmb3))), A), k3_circcmb3(k4_circcmb3(1, f2_s14_circcmb3, f6_s14_circcmb3, k9_finseq_1(f1_s14_circcmb3))))=f3_s14_circcmb3(C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s15_circcmb3, axiom,  ( ( (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(2, f3_s15_circcmb3), f3_s15_circcmb3) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, f3_s15_circcmb3), f3_s15_circcmb3)))) )  =>  (r2_funct_2(k4_finseq_2(2, f3_s15_circcmb3), f3_s15_circcmb3, A, f7_s15_circcmb3) <=>  (! [B] :  (m1_subset_1(B, f3_s15_circcmb3) =>  (! [C] :  (m1_subset_1(C, f3_s15_circcmb3) => k1_funct_1(A, k2_finseq_4(f3_s15_circcmb3, B, C))=f4_s15_circcmb3(B, C)) ) ) ) ) ) )  &  ~ (r2_tarski(k3_circcmb3(k4_circcmb3(2, f3_s15_circcmb3, f7_s15_circcmb3, k10_finseq_1(f1_s15_circcmb3, f2_s15_circcmb3))), k2_msafree2(f5_s15_circcmb3))) )  =>  (! [A] :  (m1_subset_1(A, k4_card_3(u3_msualg_1(k6_circcmb3(f3_s15_circcmb3, f5_s15_circcmb3, k4_circcmb3(2, f3_s15_circcmb3, f7_s15_circcmb3, k10_finseq_1(f1_s15_circcmb3, f2_s15_circcmb3))), k7_circcmb3(f3_s15_circcmb3, f5_s15_circcmb3, k4_circcmb3(2, f3_s15_circcmb3, f7_s15_circcmb3, k10_finseq_1(f1_s15_circcmb3, f2_s15_circcmb3)), f6_s15_circcmb3, k5_circcmb3(2, f3_s15_circcmb3, f7_s15_circcmb3, k10_finseq_1(f1_s15_circcmb3, f2_s15_circcmb3)))))) =>  (! [B] :  (m1_subset_1(B, k4_card_3(u3_msualg_1(f5_s15_circcmb3, f6_s15_circcmb3))) =>  (B=k5_relat_1(A, u1_struct_0(f5_s15_circcmb3)) =>  (! [C] :  (m1_subset_1(C, f3_s15_circcmb3) =>  (! [D] :  (m1_subset_1(D, f3_s15_circcmb3) =>  ~ ( ( (r2_hidden(f1_s15_circcmb3, k3_msafree2(f5_s15_circcmb3)) => C=k1_funct_1(k1_circcmb3(f5_s15_circcmb3, f6_s15_circcmb3, B), f1_s15_circcmb3))  &  ( ( ~ (r2_hidden(f1_s15_circcmb3, k3_msafree2(f5_s15_circcmb3)))  => C=k1_funct_1(A, f1_s15_circcmb3))  &  ( (r2_hidden(f2_s15_circcmb3, k3_msafree2(f5_s15_circcmb3)) => D=k1_funct_1(k1_circcmb3(f5_s15_circcmb3, f6_s15_circcmb3, B), f2_s15_circcmb3))  &  ( ( ~ (r2_hidden(f2_s15_circcmb3, k3_msafree2(f5_s15_circcmb3)))  => D=k1_funct_1(A, f2_s15_circcmb3))  &  ~ (k1_funct_1(k1_circcmb3(k6_circcmb3(f3_s15_circcmb3, f5_s15_circcmb3, k4_circcmb3(2, f3_s15_circcmb3, f7_s15_circcmb3, k10_finseq_1(f1_s15_circcmb3, f2_s15_circcmb3))), k7_circcmb3(f3_s15_circcmb3, f5_s15_circcmb3, k4_circcmb3(2, f3_s15_circcmb3, f7_s15_circcmb3, k10_finseq_1(f1_s15_circcmb3, f2_s15_circcmb3)), f6_s15_circcmb3, k5_circcmb3(2, f3_s15_circcmb3, f7_s15_circcmb3, k10_finseq_1(f1_s15_circcmb3, f2_s15_circcmb3))), A), k3_circcmb3(k4_circcmb3(2, f3_s15_circcmb3, f7_s15_circcmb3, k10_finseq_1(f1_s15_circcmb3, f2_s15_circcmb3))))=f4_s15_circcmb3(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s16_circcmb3, axiom,  ( ( (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(3, f4_s16_circcmb3), f4_s16_circcmb3) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3, f4_s16_circcmb3), f4_s16_circcmb3)))) )  =>  (r2_funct_2(k4_finseq_2(3, f4_s16_circcmb3), f4_s16_circcmb3, A, f8_s16_circcmb3) <=>  (! [B] :  (m1_subset_1(B, f4_s16_circcmb3) =>  (! [C] :  (m1_subset_1(C, f4_s16_circcmb3) =>  (! [D] :  (m1_subset_1(D, f4_s16_circcmb3) => k1_funct_1(A, k3_finseq_4(f4_s16_circcmb3, B, C, D))=f5_s16_circcmb3(B, C, D)) ) ) ) ) ) ) ) )  &  ~ (r2_tarski(k3_circcmb3(k4_circcmb3(3, f4_s16_circcmb3, f8_s16_circcmb3, k11_finseq_1(f1_s16_circcmb3, f2_s16_circcmb3, f3_s16_circcmb3))), k2_msafree2(f6_s16_circcmb3))) )  =>  (! [A] :  (m1_subset_1(A, k4_card_3(u3_msualg_1(k6_circcmb3(f4_s16_circcmb3, f6_s16_circcmb3, k4_circcmb3(3, f4_s16_circcmb3, f8_s16_circcmb3, k11_finseq_1(f1_s16_circcmb3, f2_s16_circcmb3, f3_s16_circcmb3))), k7_circcmb3(f4_s16_circcmb3, f6_s16_circcmb3, k4_circcmb3(3, f4_s16_circcmb3, f8_s16_circcmb3, k11_finseq_1(f1_s16_circcmb3, f2_s16_circcmb3, f3_s16_circcmb3)), f7_s16_circcmb3, k5_circcmb3(3, f4_s16_circcmb3, f8_s16_circcmb3, k11_finseq_1(f1_s16_circcmb3, f2_s16_circcmb3, f3_s16_circcmb3)))))) =>  (! [B] :  (m1_subset_1(B, k4_card_3(u3_msualg_1(f6_s16_circcmb3, f7_s16_circcmb3))) =>  (B=k5_relat_1(A, u1_struct_0(f6_s16_circcmb3)) =>  (! [C] :  (m1_subset_1(C, f4_s16_circcmb3) =>  (! [D] :  (m1_subset_1(D, f4_s16_circcmb3) =>  (! [E] :  (m1_subset_1(E, f4_s16_circcmb3) =>  ~ ( ( (r2_hidden(f1_s16_circcmb3, k3_msafree2(f6_s16_circcmb3)) => C=k1_funct_1(k1_circcmb3(f6_s16_circcmb3, f7_s16_circcmb3, B), f1_s16_circcmb3))  &  ( ( ~ (r2_hidden(f1_s16_circcmb3, k3_msafree2(f6_s16_circcmb3)))  => C=k1_funct_1(A, f1_s16_circcmb3))  &  ( (r2_hidden(f2_s16_circcmb3, k3_msafree2(f6_s16_circcmb3)) => D=k1_funct_1(k1_circcmb3(f6_s16_circcmb3, f7_s16_circcmb3, B), f2_s16_circcmb3))  &  ( ( ~ (r2_hidden(f2_s16_circcmb3, k3_msafree2(f6_s16_circcmb3)))  => D=k1_funct_1(A, f2_s16_circcmb3))  &  ( (r2_hidden(f3_s16_circcmb3, k3_msafree2(f6_s16_circcmb3)) => E=k1_funct_1(k1_circcmb3(f6_s16_circcmb3, f7_s16_circcmb3, B), f3_s16_circcmb3))  &  ( ( ~ (r2_hidden(f3_s16_circcmb3, k3_msafree2(f6_s16_circcmb3)))  => E=k1_funct_1(A, f3_s16_circcmb3))  &  ~ (k1_funct_1(k1_circcmb3(k6_circcmb3(f4_s16_circcmb3, f6_s16_circcmb3, k4_circcmb3(3, f4_s16_circcmb3, f8_s16_circcmb3, k11_finseq_1(f1_s16_circcmb3, f2_s16_circcmb3, f3_s16_circcmb3))), k7_circcmb3(f4_s16_circcmb3, f6_s16_circcmb3, k4_circcmb3(3, f4_s16_circcmb3, f8_s16_circcmb3, k11_finseq_1(f1_s16_circcmb3, f2_s16_circcmb3, f3_s16_circcmb3)), f7_s16_circcmb3, k5_circcmb3(3, f4_s16_circcmb3, f8_s16_circcmb3, k11_finseq_1(f1_s16_circcmb3, f2_s16_circcmb3, f3_s16_circcmb3))), A), k3_circcmb3(k4_circcmb3(3, f4_s16_circcmb3, f8_s16_circcmb3, k11_finseq_1(f1_s16_circcmb3, f2_s16_circcmb3, f3_s16_circcmb3))))=f5_s16_circcmb3(C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s17_circcmb3, axiom,  ( ( (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(4, f5_s17_circcmb3), f5_s17_circcmb3) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4, f5_s17_circcmb3), f5_s17_circcmb3)))) )  =>  (r2_funct_2(k4_finseq_2(4, f5_s17_circcmb3), f5_s17_circcmb3, A, f9_s17_circcmb3) <=>  (! [B] :  (m1_subset_1(B, f5_s17_circcmb3) =>  (! [C] :  (m1_subset_1(C, f5_s17_circcmb3) =>  (! [D] :  (m1_subset_1(D, f5_s17_circcmb3) =>  (! [E] :  (m1_subset_1(E, f5_s17_circcmb3) => k1_funct_1(A, k9_finseq_4(f5_s17_circcmb3, B, C, D, E))=f6_s17_circcmb3(B, C, D, E)) ) ) ) ) ) ) ) ) ) )  &  ~ (r2_tarski(k3_circcmb3(k4_circcmb3(4, f5_s17_circcmb3, f9_s17_circcmb3, k7_finseq_4(f1_s17_circcmb3, f2_s17_circcmb3, f3_s17_circcmb3, f4_s17_circcmb3))), k2_msafree2(f7_s17_circcmb3))) )  =>  (! [A] :  (m1_subset_1(A, k4_card_3(u3_msualg_1(k6_circcmb3(f5_s17_circcmb3, f7_s17_circcmb3, k4_circcmb3(4, f5_s17_circcmb3, f9_s17_circcmb3, k7_finseq_4(f1_s17_circcmb3, f2_s17_circcmb3, f3_s17_circcmb3, f4_s17_circcmb3))), k7_circcmb3(f5_s17_circcmb3, f7_s17_circcmb3, k4_circcmb3(4, f5_s17_circcmb3, f9_s17_circcmb3, k7_finseq_4(f1_s17_circcmb3, f2_s17_circcmb3, f3_s17_circcmb3, f4_s17_circcmb3)), f8_s17_circcmb3, k5_circcmb3(4, f5_s17_circcmb3, f9_s17_circcmb3, k7_finseq_4(f1_s17_circcmb3, f2_s17_circcmb3, f3_s17_circcmb3, f4_s17_circcmb3)))))) =>  (! [B] :  (m1_subset_1(B, k4_card_3(u3_msualg_1(f7_s17_circcmb3, f8_s17_circcmb3))) =>  (B=k5_relat_1(A, u1_struct_0(f7_s17_circcmb3)) =>  (! [C] :  (m1_subset_1(C, f5_s17_circcmb3) =>  (! [D] :  (m1_subset_1(D, f5_s17_circcmb3) =>  (! [E] :  (m1_subset_1(E, f5_s17_circcmb3) =>  (! [F] :  (m1_subset_1(F, f5_s17_circcmb3) =>  ~ ( ( (r2_hidden(f1_s17_circcmb3, k3_msafree2(f7_s17_circcmb3)) => C=k1_funct_1(k1_circcmb3(f7_s17_circcmb3, f8_s17_circcmb3, B), f1_s17_circcmb3))  &  ( ( ~ (r2_hidden(f1_s17_circcmb3, k3_msafree2(f7_s17_circcmb3)))  => C=k1_funct_1(A, f1_s17_circcmb3))  &  ( (r2_hidden(f2_s17_circcmb3, k3_msafree2(f7_s17_circcmb3)) => D=k1_funct_1(k1_circcmb3(f7_s17_circcmb3, f8_s17_circcmb3, B), f2_s17_circcmb3))  &  ( ( ~ (r2_hidden(f2_s17_circcmb3, k3_msafree2(f7_s17_circcmb3)))  => D=k1_funct_1(A, f2_s17_circcmb3))  &  ( (r2_hidden(f3_s17_circcmb3, k3_msafree2(f7_s17_circcmb3)) => E=k1_funct_1(k1_circcmb3(f7_s17_circcmb3, f8_s17_circcmb3, B), f3_s17_circcmb3))  &  ( ( ~ (r2_hidden(f3_s17_circcmb3, k3_msafree2(f7_s17_circcmb3)))  => E=k1_funct_1(A, f3_s17_circcmb3))  &  ( (r2_hidden(f4_s17_circcmb3, k3_msafree2(f7_s17_circcmb3)) => F=k1_funct_1(k1_circcmb3(f7_s17_circcmb3, f8_s17_circcmb3, B), f4_s17_circcmb3))  &  ( ( ~ (r2_hidden(f4_s17_circcmb3, k3_msafree2(f7_s17_circcmb3)))  => F=k1_funct_1(A, f4_s17_circcmb3))  &  ~ (k1_funct_1(k1_circcmb3(k6_circcmb3(f5_s17_circcmb3, f7_s17_circcmb3, k4_circcmb3(4, f5_s17_circcmb3, f9_s17_circcmb3, k7_finseq_4(f1_s17_circcmb3, f2_s17_circcmb3, f3_s17_circcmb3, f4_s17_circcmb3))), k7_circcmb3(f5_s17_circcmb3, f7_s17_circcmb3, k4_circcmb3(4, f5_s17_circcmb3, f9_s17_circcmb3, k7_finseq_4(f1_s17_circcmb3, f2_s17_circcmb3, f3_s17_circcmb3, f4_s17_circcmb3)), f8_s17_circcmb3, k5_circcmb3(4, f5_s17_circcmb3, f9_s17_circcmb3, k7_finseq_4(f1_s17_circcmb3, f2_s17_circcmb3, f3_s17_circcmb3, f4_s17_circcmb3))), A), k3_circcmb3(k4_circcmb3(4, f5_s17_circcmb3, f9_s17_circcmb3, k7_finseq_4(f1_s17_circcmb3, f2_s17_circcmb3, f3_s17_circcmb3, f4_s17_circcmb3))))=f6_s17_circcmb3(C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s18_circcmb3, axiom,  ( ( (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(5, f6_s18_circcmb3), f6_s18_circcmb3) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(5, f6_s18_circcmb3), f6_s18_circcmb3)))) )  =>  (r2_funct_2(k4_finseq_2(5, f6_s18_circcmb3), f6_s18_circcmb3, A, f10_s18_circcmb3) <=>  (! [B] :  (m1_subset_1(B, f6_s18_circcmb3) =>  (! [C] :  (m1_subset_1(C, f6_s18_circcmb3) =>  (! [D] :  (m1_subset_1(D, f6_s18_circcmb3) =>  (! [E] :  (m1_subset_1(E, f6_s18_circcmb3) =>  (! [F] :  (m1_subset_1(F, f6_s18_circcmb3) => k1_funct_1(A, k10_finseq_4(f6_s18_circcmb3, B, C, D, E, F))=f7_s18_circcmb3(B, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) )  &  ~ (r2_tarski(k3_circcmb3(k4_circcmb3(5, f6_s18_circcmb3, f10_s18_circcmb3, k8_finseq_4(f1_s18_circcmb3, f2_s18_circcmb3, f3_s18_circcmb3, f4_s18_circcmb3, f5_s18_circcmb3))), k2_msafree2(f8_s18_circcmb3))) )  =>  (! [A] :  (m1_subset_1(A, k4_card_3(u3_msualg_1(k6_circcmb3(f6_s18_circcmb3, f8_s18_circcmb3, k4_circcmb3(5, f6_s18_circcmb3, f10_s18_circcmb3, k8_finseq_4(f1_s18_circcmb3, f2_s18_circcmb3, f3_s18_circcmb3, f4_s18_circcmb3, f5_s18_circcmb3))), k7_circcmb3(f6_s18_circcmb3, f8_s18_circcmb3, k4_circcmb3(5, f6_s18_circcmb3, f10_s18_circcmb3, k8_finseq_4(f1_s18_circcmb3, f2_s18_circcmb3, f3_s18_circcmb3, f4_s18_circcmb3, f5_s18_circcmb3)), f9_s18_circcmb3, k5_circcmb3(5, f6_s18_circcmb3, f10_s18_circcmb3, k8_finseq_4(f1_s18_circcmb3, f2_s18_circcmb3, f3_s18_circcmb3, f4_s18_circcmb3, f5_s18_circcmb3)))))) =>  (! [B] :  (m1_subset_1(B, k4_card_3(u3_msualg_1(f8_s18_circcmb3, f9_s18_circcmb3))) =>  (B=k5_relat_1(A, u1_struct_0(f8_s18_circcmb3)) =>  (! [C] :  (m1_subset_1(C, f6_s18_circcmb3) =>  (! [D] :  (m1_subset_1(D, f6_s18_circcmb3) =>  (! [E] :  (m1_subset_1(E, f6_s18_circcmb3) =>  (! [F] :  (m1_subset_1(F, f6_s18_circcmb3) =>  (! [G] :  (m1_subset_1(G, f6_s18_circcmb3) =>  ~ ( ( (r2_hidden(f1_s18_circcmb3, k3_msafree2(f8_s18_circcmb3)) => C=k1_funct_1(k1_circcmb3(f8_s18_circcmb3, f9_s18_circcmb3, B), f1_s18_circcmb3))  &  ( ( ~ (r2_hidden(f1_s18_circcmb3, k3_msafree2(f8_s18_circcmb3)))  => C=k1_funct_1(A, f1_s18_circcmb3))  &  ( (r2_hidden(f2_s18_circcmb3, k3_msafree2(f8_s18_circcmb3)) => D=k1_funct_1(k1_circcmb3(f8_s18_circcmb3, f9_s18_circcmb3, B), f2_s18_circcmb3))  &  ( ( ~ (r2_hidden(f2_s18_circcmb3, k3_msafree2(f8_s18_circcmb3)))  => D=k1_funct_1(A, f2_s18_circcmb3))  &  ( (r2_hidden(f3_s18_circcmb3, k3_msafree2(f8_s18_circcmb3)) => E=k1_funct_1(k1_circcmb3(f8_s18_circcmb3, f9_s18_circcmb3, B), f3_s18_circcmb3))  &  ( ( ~ (r2_hidden(f3_s18_circcmb3, k3_msafree2(f8_s18_circcmb3)))  => E=k1_funct_1(A, f3_s18_circcmb3))  &  ( (r2_hidden(f4_s18_circcmb3, k3_msafree2(f8_s18_circcmb3)) => F=k1_funct_1(k1_circcmb3(f8_s18_circcmb3, f9_s18_circcmb3, B), f4_s18_circcmb3))  &  ( ( ~ (r2_hidden(f4_s18_circcmb3, k3_msafree2(f8_s18_circcmb3)))  => F=k1_funct_1(A, f4_s18_circcmb3))  &  ( (r2_hidden(f5_s18_circcmb3, k3_msafree2(f8_s18_circcmb3)) => G=k1_funct_1(k1_circcmb3(f8_s18_circcmb3, f9_s18_circcmb3, B), f5_s18_circcmb3))  &  ( ( ~ (r2_hidden(f5_s18_circcmb3, k3_msafree2(f8_s18_circcmb3)))  => G=k1_funct_1(A, f5_s18_circcmb3))  &  ~ (k1_funct_1(k1_circcmb3(k6_circcmb3(f6_s18_circcmb3, f8_s18_circcmb3, k4_circcmb3(5, f6_s18_circcmb3, f10_s18_circcmb3, k8_finseq_4(f1_s18_circcmb3, f2_s18_circcmb3, f3_s18_circcmb3, f4_s18_circcmb3, f5_s18_circcmb3))), k7_circcmb3(f6_s18_circcmb3, f8_s18_circcmb3, k4_circcmb3(5, f6_s18_circcmb3, f10_s18_circcmb3, k8_finseq_4(f1_s18_circcmb3, f2_s18_circcmb3, f3_s18_circcmb3, f4_s18_circcmb3, f5_s18_circcmb3)), f9_s18_circcmb3, k5_circcmb3(5, f6_s18_circcmb3, f10_s18_circcmb3, k8_finseq_4(f1_s18_circcmb3, f2_s18_circcmb3, f3_s18_circcmb3, f4_s18_circcmb3, f5_s18_circcmb3))), A), k3_circcmb3(k4_circcmb3(5, f6_s18_circcmb3, f10_s18_circcmb3, k8_finseq_4(f1_s18_circcmb3, f2_s18_circcmb3, f3_s18_circcmb3, f4_s18_circcmb3, f5_s18_circcmb3))))=f7_s18_circcmb3(C, D, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_circcmb3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  &  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  & m1_subset_1(C, k4_card_3(u3_msualg_1(A, B)))) )  => m1_subset_1(k1_circcmb3(A, B, C), k4_card_3(u3_msualg_1(A, B)))) ) ).
fof(dt_k2_circcmb3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  &  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  & m1_subset_1(C, k4_card_3(u3_msualg_1(A, B)))) )  => m1_subset_1(k2_circcmb3(A, B, C), k4_ordinal1)) ) ).
fof(dt_k3_circcmb3, axiom,  (! [A] :  ( (v4_circcmb3(A) & l1_msualg_1(A))  => m1_subset_1(k3_circcmb3(A), u1_struct_0(A))) ) ).
fof(dt_f2_s1_circcmb3, axiom,  ( ~ (v1_xboole_0(f2_s1_circcmb3))  & v1_finset_1(f2_s1_circcmb3)) ).
fof(dt_f3_s1_circcmb3, axiom,  (! [A] : m1_subset_1(f3_s1_circcmb3(A), f2_s1_circcmb3)) ).
fof(dt_f3_s2_circcmb3, axiom,  ( ~ (v1_xboole_0(f3_s2_circcmb3))  & v1_finset_1(f3_s2_circcmb3)) ).
fof(dt_f4_s2_circcmb3, axiom,  (! [A, B] : m1_subset_1(f4_s2_circcmb3(A, B), f3_s2_circcmb3)) ).
fof(dt_f4_s3_circcmb3, axiom,  ( ~ (v1_xboole_0(f4_s3_circcmb3))  & v1_finset_1(f4_s3_circcmb3)) ).
fof(dt_f5_s3_circcmb3, axiom,  (! [A, B, C] : m1_subset_1(f5_s3_circcmb3(A, B, C), f4_s3_circcmb3)) ).
fof(dt_f5_s4_circcmb3, axiom,  ( ~ (v1_xboole_0(f5_s4_circcmb3))  & v1_finset_1(f5_s4_circcmb3)) ).
fof(dt_f6_s4_circcmb3, axiom,  (! [A, B, C, D] : m1_subset_1(f6_s4_circcmb3(A, B, C, D), f5_s4_circcmb3)) ).
fof(dt_f6_s5_circcmb3, axiom,  ( ~ (v1_xboole_0(f6_s5_circcmb3))  & v1_finset_1(f6_s5_circcmb3)) ).
fof(dt_f7_s5_circcmb3, axiom,  (! [A, B, C, D, E] : m1_subset_1(f7_s5_circcmb3(A, B, C, D, E), f6_s5_circcmb3)) ).
fof(dt_m1_circcmb3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m1_circcmb3(B, A) =>  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_circcomb(B) &  (v2_circcomb(B) &  (v5_circcomb(B) & l1_msualg_1(B)) ) ) ) ) ) ) ) ) ).
fof(existence_m1_circcmb3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (? [B] : m1_circcmb3(B, A)) ) ) ).
fof(dt_k4_circcmb3, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, k4_ordinal1) &  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_2(A, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A, B), B)))) )  &  (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, A) & v1_finseq_1(D)) ) ) ) ) )  =>  (v1_msualg_1(k4_circcmb3(A, B, C, D)) & m1_circcmb3(k4_circcmb3(A, B, C, D), B)) ) ) ).
fof(redefinition_k4_circcmb3, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, k4_ordinal1) &  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_2(A, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A, B), B)))) )  &  (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, A) & v1_finseq_1(D)) ) ) ) ) )  => k4_circcmb3(A, B, C, D)=k5_circcomb(C, D)) ) ).
fof(dt_m2_circcmb3, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  & m1_circcmb3(B, A))  =>  (! [C] :  (m2_circcmb3(C, A, B) =>  (v4_msafree2(C, B) & l3_msualg_1(C, B)) ) ) ) ) ).
fof(existence_m2_circcmb3, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  & m1_circcmb3(B, A))  =>  (? [C] : m2_circcmb3(C, A, B)) ) ) ).
fof(dt_k5_circcmb3, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, k4_ordinal1) &  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_2(A, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A, B), B)))) )  &  (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, A) & v1_finseq_1(D)) ) ) ) ) )  =>  (v3_msualg_1(k5_circcmb3(A, B, C, D), k4_circcmb3(A, B, C, D)) & m2_circcmb3(k5_circcmb3(A, B, C, D), B, k4_circcmb3(A, B, C, D))) ) ) ).
fof(redefinition_k5_circcmb3, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, k4_ordinal1) &  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_2(A, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A, B), B)))) )  &  (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, A) & v1_finseq_1(D)) ) ) ) ) )  => k5_circcmb3(A, B, C, D)=k7_circcomb(A, B, C, D)) ) ).
fof(dt_k6_circcmb3, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  (m1_circcmb3(B, A) & m1_circcmb3(C, A)) )  =>  (v1_msualg_1(k6_circcmb3(A, B, C)) & m1_circcmb3(k6_circcmb3(A, B, C), A)) ) ) ).
fof(redefinition_k6_circcmb3, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  (m1_circcmb3(B, A) & m1_circcmb3(C, A)) )  => k6_circcmb3(A, B, C)=k2_circcomb(B, C)) ) ).
fof(dt_k7_circcmb3, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  (m1_circcmb3(B, A) &  (m1_circcmb3(C, A) &  (m2_circcmb3(D, A, B) & m2_circcmb3(E, A, C)) ) ) )  =>  (v3_msualg_1(k7_circcmb3(A, B, C, D, E), k6_circcmb3(A, B, C)) & m2_circcmb3(k7_circcmb3(A, B, C, D, E), A, k6_circcmb3(A, B, C))) ) ) ).
fof(redefinition_k7_circcmb3, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  (m1_circcmb3(B, A) &  (m1_circcmb3(C, A) &  (m2_circcmb3(D, A, B) & m2_circcmb3(E, A, C)) ) ) )  => k7_circcmb3(A, B, C, D, E)=k3_circcomb(B, C, D, E)) ) ).
fof(dt_f1_s6_circcmb3, axiom,  ~ (v1_xboole_0(f1_s6_circcmb3)) ).
fof(dt_f2_s6_circcmb3, axiom,  (! [A] : m1_subset_1(f2_s6_circcmb3(A), f1_s6_circcmb3)) ).
fof(dt_f1_s7_circcmb3, axiom,  ~ (v1_xboole_0(f1_s7_circcmb3)) ).
fof(dt_f2_s7_circcmb3, axiom,  (! [A, B] : m1_subset_1(f2_s7_circcmb3(A, B), f1_s7_circcmb3)) ).
fof(dt_f1_s8_circcmb3, axiom,  ~ (v1_xboole_0(f1_s8_circcmb3)) ).
fof(dt_f2_s8_circcmb3, axiom,  (! [A, B, C] : m1_subset_1(f2_s8_circcmb3(A, B, C), f1_s8_circcmb3)) ).
fof(dt_f2_s9_circcmb3, axiom,  ( ~ (v1_xboole_0(f2_s9_circcmb3))  & v1_finset_1(f2_s9_circcmb3)) ).
fof(dt_f3_s9_circcmb3, axiom,  (! [A] : m1_subset_1(f3_s9_circcmb3(A), f2_s9_circcmb3)) ).
fof(dt_f4_s9_circcmb3, axiom,  (v1_funct_1(f4_s9_circcmb3) &  (v1_funct_2(f4_s9_circcmb3, k4_finseq_2(1, f2_s9_circcmb3), f2_s9_circcmb3) & m1_subset_1(f4_s9_circcmb3, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(1, f2_s9_circcmb3), f2_s9_circcmb3)))) ) ).
fof(dt_f3_s10_circcmb3, axiom,  ( ~ (v1_xboole_0(f3_s10_circcmb3))  & v1_finset_1(f3_s10_circcmb3)) ).
fof(dt_f4_s10_circcmb3, axiom,  (! [A, B] : m1_subset_1(f4_s10_circcmb3(A, B), f3_s10_circcmb3)) ).
fof(dt_f5_s10_circcmb3, axiom,  (v1_funct_1(f5_s10_circcmb3) &  (v1_funct_2(f5_s10_circcmb3, k4_finseq_2(2, f3_s10_circcmb3), f3_s10_circcmb3) & m1_subset_1(f5_s10_circcmb3, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, f3_s10_circcmb3), f3_s10_circcmb3)))) ) ).
fof(dt_f4_s11_circcmb3, axiom,  ( ~ (v1_xboole_0(f4_s11_circcmb3))  & v1_finset_1(f4_s11_circcmb3)) ).
fof(dt_f5_s11_circcmb3, axiom,  (! [A, B, C] : m1_subset_1(f5_s11_circcmb3(A, B, C), f4_s11_circcmb3)) ).
fof(dt_f6_s11_circcmb3, axiom,  (v1_funct_1(f6_s11_circcmb3) &  (v1_funct_2(f6_s11_circcmb3, k4_finseq_2(3, f4_s11_circcmb3), f4_s11_circcmb3) & m1_subset_1(f6_s11_circcmb3, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3, f4_s11_circcmb3), f4_s11_circcmb3)))) ) ).
fof(dt_f5_s12_circcmb3, axiom,  ( ~ (v1_xboole_0(f5_s12_circcmb3))  & v1_finset_1(f5_s12_circcmb3)) ).
fof(dt_f6_s12_circcmb3, axiom,  (! [A, B, C, D] : m1_subset_1(f6_s12_circcmb3(A, B, C, D), f5_s12_circcmb3)) ).
fof(dt_f7_s12_circcmb3, axiom,  (v1_funct_1(f7_s12_circcmb3) &  (v1_funct_2(f7_s12_circcmb3, k4_finseq_2(4, f5_s12_circcmb3), f5_s12_circcmb3) & m1_subset_1(f7_s12_circcmb3, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4, f5_s12_circcmb3), f5_s12_circcmb3)))) ) ).
fof(dt_f6_s13_circcmb3, axiom,  ( ~ (v1_xboole_0(f6_s13_circcmb3))  & v1_finset_1(f6_s13_circcmb3)) ).
fof(dt_f7_s13_circcmb3, axiom,  (! [A, B, C, D, E] : m1_subset_1(f7_s13_circcmb3(A, B, C, D, E), f6_s13_circcmb3)) ).
fof(dt_f8_s13_circcmb3, axiom,  (v1_funct_1(f8_s13_circcmb3) &  (v1_funct_2(f8_s13_circcmb3, k4_finseq_2(5, f6_s13_circcmb3), f6_s13_circcmb3) & m1_subset_1(f8_s13_circcmb3, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(5, f6_s13_circcmb3), f6_s13_circcmb3)))) ) ).
fof(dt_f2_s14_circcmb3, axiom,  ( ~ (v1_xboole_0(f2_s14_circcmb3))  & v1_finset_1(f2_s14_circcmb3)) ).
fof(dt_f3_s14_circcmb3, axiom,  (! [A] : m1_subset_1(f3_s14_circcmb3(A), f2_s14_circcmb3)) ).
fof(dt_f4_s14_circcmb3, axiom,  (v8_struct_0(f4_s14_circcmb3) & m1_circcmb3(f4_s14_circcmb3, f2_s14_circcmb3)) ).
fof(dt_f5_s14_circcmb3, axiom, m2_circcmb3(f5_s14_circcmb3, f2_s14_circcmb3, f4_s14_circcmb3)).
fof(dt_f6_s14_circcmb3, axiom,  (v1_funct_1(f6_s14_circcmb3) &  (v1_funct_2(f6_s14_circcmb3, k4_finseq_2(1, f2_s14_circcmb3), f2_s14_circcmb3) & m1_subset_1(f6_s14_circcmb3, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(1, f2_s14_circcmb3), f2_s14_circcmb3)))) ) ).
fof(dt_f3_s15_circcmb3, axiom,  ( ~ (v1_xboole_0(f3_s15_circcmb3))  & v1_finset_1(f3_s15_circcmb3)) ).
fof(dt_f4_s15_circcmb3, axiom,  (! [A, B] : m1_subset_1(f4_s15_circcmb3(A, B), f3_s15_circcmb3)) ).
fof(dt_f5_s15_circcmb3, axiom,  (v8_struct_0(f5_s15_circcmb3) & m1_circcmb3(f5_s15_circcmb3, f3_s15_circcmb3)) ).
fof(dt_f6_s15_circcmb3, axiom, m2_circcmb3(f6_s15_circcmb3, f3_s15_circcmb3, f5_s15_circcmb3)).
fof(dt_f7_s15_circcmb3, axiom,  (v1_funct_1(f7_s15_circcmb3) &  (v1_funct_2(f7_s15_circcmb3, k4_finseq_2(2, f3_s15_circcmb3), f3_s15_circcmb3) & m1_subset_1(f7_s15_circcmb3, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, f3_s15_circcmb3), f3_s15_circcmb3)))) ) ).
fof(dt_f4_s16_circcmb3, axiom,  ( ~ (v1_xboole_0(f4_s16_circcmb3))  & v1_finset_1(f4_s16_circcmb3)) ).
fof(dt_f5_s16_circcmb3, axiom,  (! [A, B, C] : m1_subset_1(f5_s16_circcmb3(A, B, C), f4_s16_circcmb3)) ).
fof(dt_f6_s16_circcmb3, axiom,  (v8_struct_0(f6_s16_circcmb3) & m1_circcmb3(f6_s16_circcmb3, f4_s16_circcmb3)) ).
fof(dt_f7_s16_circcmb3, axiom, m2_circcmb3(f7_s16_circcmb3, f4_s16_circcmb3, f6_s16_circcmb3)).
fof(dt_f8_s16_circcmb3, axiom,  (v1_funct_1(f8_s16_circcmb3) &  (v1_funct_2(f8_s16_circcmb3, k4_finseq_2(3, f4_s16_circcmb3), f4_s16_circcmb3) & m1_subset_1(f8_s16_circcmb3, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3, f4_s16_circcmb3), f4_s16_circcmb3)))) ) ).
fof(dt_f5_s17_circcmb3, axiom,  ( ~ (v1_xboole_0(f5_s17_circcmb3))  & v1_finset_1(f5_s17_circcmb3)) ).
fof(dt_f6_s17_circcmb3, axiom,  (! [A, B, C, D] : m1_subset_1(f6_s17_circcmb3(A, B, C, D), f5_s17_circcmb3)) ).
fof(dt_f7_s17_circcmb3, axiom,  (v8_struct_0(f7_s17_circcmb3) & m1_circcmb3(f7_s17_circcmb3, f5_s17_circcmb3)) ).
fof(dt_f8_s17_circcmb3, axiom, m2_circcmb3(f8_s17_circcmb3, f5_s17_circcmb3, f7_s17_circcmb3)).
fof(dt_f9_s17_circcmb3, axiom,  (v1_funct_1(f9_s17_circcmb3) &  (v1_funct_2(f9_s17_circcmb3, k4_finseq_2(4, f5_s17_circcmb3), f5_s17_circcmb3) & m1_subset_1(f9_s17_circcmb3, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4, f5_s17_circcmb3), f5_s17_circcmb3)))) ) ).
fof(dt_f6_s18_circcmb3, axiom,  ( ~ (v1_xboole_0(f6_s18_circcmb3))  & v1_finset_1(f6_s18_circcmb3)) ).
fof(dt_f7_s18_circcmb3, axiom,  (! [A, B, C, D, E] : m1_subset_1(f7_s18_circcmb3(A, B, C, D, E), f6_s18_circcmb3)) ).
fof(dt_f8_s18_circcmb3, axiom,  (v8_struct_0(f8_s18_circcmb3) & m1_circcmb3(f8_s18_circcmb3, f6_s18_circcmb3)) ).
fof(dt_f9_s18_circcmb3, axiom, m2_circcmb3(f9_s18_circcmb3, f6_s18_circcmb3, f8_s18_circcmb3)).
fof(dt_f10_s18_circcmb3, axiom,  (v1_funct_1(f10_s18_circcmb3) &  (v1_funct_2(f10_s18_circcmb3, k4_finseq_2(5, f6_s18_circcmb3), f6_s18_circcmb3) & m1_subset_1(f10_s18_circcmb3, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(5, f6_s18_circcmb3), f6_s18_circcmb3)))) ) ).
fof(fc1_circcomb, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  &  (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) & v1_partfun1(D, B)) ) ) )  =>  (v1_relat_1(k1_funct_4(C, D)) &  (v4_relat_1(k1_funct_4(C, D), k2_xboole_0(A, B)) & v1_funct_1(k1_funct_4(C, D))) ) ) ) ).
fof(fc2_circcomb, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  &  (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) & v1_partfun1(D, B)) ) ) )  =>  (v1_relat_1(k1_funct_4(C, D)) &  (v4_relat_1(k1_funct_4(C, D), k2_xboole_0(A, B)) &  (v1_funct_1(k1_funct_4(C, D)) & v1_partfun1(k1_funct_4(C, D), k2_xboole_0(A, B))) ) ) ) ) ).
fof(fc3_circcomb, axiom,  (! [A, B] : v4_relat_1(k17_funcop_1(A, B), k1_tarski(A))) ).
fof(fc4_circcomb, axiom,  (! [A, B] :  (v1_relat_1(k17_funcop_1(A, B)) &  (v4_relat_1(k17_funcop_1(A, B), k1_tarski(A)) &  (v1_funct_1(k17_funcop_1(A, B)) & v1_partfun1(k17_funcop_1(A, B), k1_tarski(A))) ) ) ) ).
fof(fc5_circcomb, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  => v2_relat_1(k17_funcop_1(A, B))) ) ).
fof(fc6_circcomb, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( ~ (v2_struct_0(B))  & l1_msualg_1(B)) )  =>  ( ~ (v2_struct_0(k2_circcomb(A, B)))  &  ( ~ (v11_struct_0(k2_circcomb(A, B)))  & v1_msualg_1(k2_circcomb(A, B))) ) ) ) ).
fof(fc7_circcomb, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( ~ (v2_struct_0(B))  & l1_msualg_1(B)) )  =>  ( ~ (v2_struct_0(k2_circcomb(B, A)))  &  ( ~ (v11_struct_0(k2_circcomb(B, A)))  & v1_msualg_1(k2_circcomb(B, A))) ) ) ) ).
fof(fc8_circcomb, axiom,  (! [A, B, C] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( ~ (v2_struct_0(k4_circcomb(A, B, C)))  &  ( ~ (v11_struct_0(k4_circcomb(A, B, C)))  & v1_msualg_1(k4_circcomb(A, B, C))) ) ) ) ).
fof(fc9_circcomb, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( ~ (v2_struct_0(k5_circcomb(A, B)))  &  ( ~ (v11_struct_0(k5_circcomb(A, B)))  & v1_msualg_1(k5_circcomb(A, B))) ) ) ) ).
fof(cc1_circcomb, axiom,  (! [A] :  (l1_msualg_1(A) =>  ( ( ~ (v2_struct_0(A))  & v3_circcomb(A))  =>  ( ~ (v2_struct_0(A))  & v5_circcomb(A)) ) ) ) ).
fof(cc2_circcomb, axiom,  (! [A] :  (l1_msualg_1(A) =>  ( ( ~ (v2_struct_0(A))  & v1_circcomb(A))  =>  ( ~ (v2_struct_0(A))  & v2_msafree2(A)) ) ) ) ).
fof(fc10_circcomb, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( ~ (v11_struct_0(k5_circcomb(A, B)))  &  (v1_msualg_1(k5_circcomb(A, B)) &  (v1_circcomb(k5_circcomb(A, B)) & v2_circcomb(k5_circcomb(A, B))) ) ) ) ) ).
fof(rc1_circcomb, axiom,  (? [A] :  (l1_msualg_1(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_msualg_1(A) &  (v1_circcomb(A) & v2_circcomb(A)) ) ) ) ) ) ).
fof(fc11_circcomb, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_circcomb(A) & l1_msualg_1(A)) )  &  ( ~ (v2_struct_0(B))  &  (v1_circcomb(B) & l1_msualg_1(B)) ) )  =>  ( ~ (v2_struct_0(k2_circcomb(A, B)))  &  (v1_msualg_1(k2_circcomb(A, B)) & v1_circcomb(k2_circcomb(A, B))) ) ) ) ).
fof(fc12_circcomb, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_circcomb(A) & l1_msualg_1(A)) )  &  ( ~ (v2_struct_0(B))  &  (v2_circcomb(B) & l1_msualg_1(B)) ) )  =>  ( ~ (v2_struct_0(k2_circcomb(A, B)))  &  (v1_msualg_1(k2_circcomb(A, B)) & v2_circcomb(k2_circcomb(A, B))) ) ) ) ).
fof(fc13_circcomb, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_2(A, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A, B), B)))) )  &  (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, A) & v1_finseq_1(D)) ) ) ) ) )  =>  (v3_msualg_1(k7_circcomb(A, B, C, D), k5_circcomb(C, D)) &  (v4_msualg_1(k7_circcomb(A, B, C, D), k5_circcomb(C, D)) & v4_circcomb(k7_circcomb(A, B, C, D), k5_circcomb(C, D))) ) ) ) ).
fof(fc14_circcomb, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_2(A, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A, B), B)))) )  &  (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, A) & v1_finseq_1(D)) ) ) ) ) )  =>  ( ~ (v11_struct_0(k5_circcomb(C, D)))  &  (v1_msualg_1(k5_circcomb(C, D)) & v5_circcomb(k5_circcomb(C, D))) ) ) ) ).
fof(fc15_circcomb, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_2(A, k5_margrel1), k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A, k5_margrel1), k5_margrel1)))) )  &  (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) ) ) )  =>  ( ~ (v11_struct_0(k5_circcomb(B, C)))  &  (v1_msualg_1(k5_circcomb(B, C)) & v3_circcomb(k5_circcomb(B, C))) ) ) ) ).
fof(rc2_circcomb, axiom,  (? [A] :  (l1_msualg_1(A) &  ( ~ (v2_struct_0(A))  & v3_circcomb(A)) ) ) ).
fof(fc16_circcomb, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_circcomb(A) & l1_msualg_1(A)) )  &  ( ~ (v2_struct_0(B))  &  (v3_circcomb(B) & l1_msualg_1(B)) ) )  =>  ( ~ (v2_struct_0(k2_circcomb(A, B)))  &  (v1_msualg_1(k2_circcomb(A, B)) & v3_circcomb(k2_circcomb(A, B))) ) ) ) ).
fof(fc17_circcomb, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_2(A, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A, B), B)))) )  &  (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, A) & v1_finseq_1(D)) ) ) ) ) )  =>  (v3_msualg_1(k7_circcomb(A, B, C, D), k5_circcomb(C, D)) &  (v4_msualg_1(k7_circcomb(A, B, C, D), k5_circcomb(C, D)) & v4_msafree2(k7_circcomb(A, B, C, D), k5_circcomb(C, D))) ) ) ) ).
fof(cc3_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  (l3_msualg_1(B, A) =>  (v6_circcomb(B, A) =>  (v4_msualg_1(B, A) & v4_msafree2(B, A)) ) ) ) ) ) ).
fof(rc3_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (? [B] :  (l3_msualg_1(B, A) &  (v3_msualg_1(B, A) & v6_circcomb(B, A)) ) ) ) ) ).
fof(rc4_circcomb, axiom,  (? [A] :  (l1_msualg_1(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v14_struct_0(A) &  (v1_msualg_1(A) &  (v1_circcomb(A) &  (v2_circcomb(A) &  (v3_circcomb(A) & v5_circcomb(A)) ) ) ) ) ) ) ) ) ).
fof(rc5_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_circcomb(A) & l1_msualg_1(A)) )  =>  (? [B] :  (l3_msualg_1(B, A) &  (v3_msualg_1(B, A) &  (v4_circcomb(B, A) & v6_circcomb(B, A)) ) ) ) ) ) ).
fof(fc18_circcomb, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_circcomb(A) &  (v3_circcomb(A) & l1_msualg_1(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_circcomb(B) &  (v3_circcomb(B) & l1_msualg_1(B)) ) ) )  &  ( (v4_msafree2(C, A) &  (v4_circcomb(C, A) &  (v6_circcomb(C, A) & l3_msualg_1(C, A)) ) )  &  (v4_msafree2(D, B) &  (v4_circcomb(D, B) &  (v6_circcomb(D, B) & l3_msualg_1(D, B)) ) ) ) ) )  =>  (v3_msualg_1(k3_circcomb(A, B, C, D), k2_circcomb(A, B)) &  (v4_msualg_1(k3_circcomb(A, B, C, D), k2_circcomb(A, B)) &  (v4_circcomb(k3_circcomb(A, B, C, D), k2_circcomb(A, B)) & v6_circcomb(k3_circcomb(A, B, C, D), k2_circcomb(A, B))) ) ) ) ) ).
fof(rc6_circcomb, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_2(A, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A, B), B)))) )  &  (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, A) & v1_finseq_1(D)) ) ) ) ) )  =>  (? [E] :  (l3_msualg_1(E, k5_circcomb(C, D)) &  (v3_msualg_1(E, k5_circcomb(C, D)) &  (v4_msualg_1(E, k5_circcomb(C, D)) &  (v4_msafree2(E, k5_circcomb(C, D)) & v4_circcomb(E, k5_circcomb(C, D))) ) ) ) ) ) ) ).
fof(fc19_circcomb, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_2(A, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A, B), B)))) )  &  (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, A) & v1_finseq_1(D)) ) ) ) ) )  =>  (v3_msualg_1(k7_circcomb(A, B, C, D), k5_circcomb(C, D)) &  (v4_msualg_1(k7_circcomb(A, B, C, D), k5_circcomb(C, D)) & v4_circcomb(k7_circcomb(A, B, C, D), k5_circcomb(C, D))) ) ) ) ).
fof(t1_circcomb, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) & v1_partfun1(D, B)) ) )  =>  (r1_tarski(C, D) => r1_tarski(k6_finseq_2(A, C), k6_finseq_2(B, D))) ) ) ) ) ) ) ).
fof(t2_circcomb, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, A) => k1_funct_1(k6_finseq_2(A, k7_funcop_1(A, B)), C)=k4_finseq_2(k3_finseq_1(C), B)) ) ) ) ) ).
fof(d1_circcomb, axiom,  (! [A] :  (l1_msualg_1(A) =>  (! [B] :  (l1_msualg_1(B) =>  (r1_circcomb(A, B) <=>  (r1_partfun1(u1_msualg_1(A), u1_msualg_1(B)) & r1_partfun1(u2_msualg_1(A), u2_msualg_1(B))) ) ) ) ) ) ).
fof(d2_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v1_msualg_1(C) & l1_msualg_1(C)) )  =>  (C=k2_circcomb(A, B) <=>  (u1_struct_0(C)=k2_xboole_0(u1_struct_0(A), u1_struct_0(B)) &  (u4_struct_0(C)=k2_xboole_0(u4_struct_0(A), u4_struct_0(B)) &  (u1_msualg_1(C)=k1_funct_4(u1_msualg_1(A), u1_msualg_1(B)) & u2_msualg_1(C)=k1_funct_4(u2_msualg_1(A), u2_msualg_1(B))) ) ) ) ) ) ) ) ) ) ).
fof(t3_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_msualg_1(C))  =>  ( (r1_circcomb(A, B) &  (r1_circcomb(B, C) & r1_circcomb(C, A)) )  => r1_circcomb(k2_circcomb(A, B), C)) ) ) ) ) ) ) ).
fof(t4_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  => k2_circcomb(A, A)=g1_msualg_1(u1_struct_0(A), u4_struct_0(A), u1_msualg_1(A), u2_msualg_1(A))) ) ).
fof(t5_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (r1_circcomb(A, B) => k2_circcomb(A, B)=k2_circcomb(B, A)) ) ) ) ) ).
fof(t6_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_msualg_1(C))  => k2_circcomb(k2_circcomb(A, B), C)=k2_circcomb(A, k2_circcomb(B, C))) ) ) ) ) ) ).
fof(t7_circcomb, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_msafree2(C) & l1_msualg_1(C)) )  =>  ( (r1_tarski(u2_msualg_1(B), A) & r1_tarski(u2_msualg_1(C), A))  => v2_msafree2(k2_circcomb(B, C))) ) ) ) ) ) ) ).
fof(t8_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) )  =>  (r1_xboole_0(k3_msafree2(A), k3_msafree2(B)) => v2_msafree2(k2_circcomb(A, B))) ) ) ) ) ).
fof(t9_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  ~ ( ( ~ ( (v11_struct_0(A) & v11_struct_0(B)) )  & v11_struct_0(k2_circcomb(A, B))) ) ) ) ) ) ).
fof(t10_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) & l1_msualg_1(B)) )  => v8_struct_0(k2_circcomb(A, B))) ) ) ) ).
fof(t11_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (r1_circcomb(A, B) =>  (k3_msafree2(k2_circcomb(A, B))=k2_xboole_0(k3_msafree2(A), k3_msafree2(B)) & r1_tarski(k2_msafree2(k2_circcomb(A, B)), k2_xboole_0(k2_msafree2(A), k2_msafree2(B)))) ) ) ) ) ) ).
fof(t12_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (r2_tarski(C, k2_msafree2(k2_circcomb(A, B))) => r2_tarski(C, k2_msafree2(B))) ) ) ) ) ) ) ).
fof(t13_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (r1_circcomb(A, B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, k2_msafree2(k2_circcomb(A, B))) => r2_tarski(C, k2_msafree2(A))) ) ) ) ) ) ) ) ).
fof(t14_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(k2_circcomb(A, B))) =>  (C=D =>  (k1_msualg_1(k2_circcomb(A, B), D)=k1_msualg_1(B, C) & k2_msualg_1(k2_circcomb(A, B), D)=k2_msualg_1(B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t15_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_msafree2(C) & l1_msualg_1(C)) ) )  =>  (C=k2_circcomb(A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r2_tarski(D, k3_msafree2(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (D=E =>  (r2_tarski(E, k3_msafree2(C)) & k4_msafree2(C, E)=k4_msafree2(B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (r1_circcomb(A, B) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(k2_circcomb(A, B))) =>  (C=D =>  (k1_msualg_1(k2_circcomb(A, B), D)=k1_msualg_1(A, C) & k2_msualg_1(k2_circcomb(A, B), D)=k2_msualg_1(A, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_msualg_1(C))  =>  ( (r1_circcomb(A, C) & B=k2_circcomb(A, C))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, k3_msafree2(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (D=E =>  (r2_tarski(E, k3_msafree2(B)) & k4_msafree2(B, E)=k4_msafree2(A, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (l3_msualg_1(D, B) =>  (r2_circcomb(A, B, C, D) <=>  (r1_circcomb(A, B) &  (r1_partfun1(u3_msualg_1(A, C), u3_msualg_1(B, D)) & r1_partfun1(u4_msualg_1(A, C), u4_msualg_1(B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  ( (v4_msualg_1(D, B) & l3_msualg_1(D, B))  =>  (r1_partfun1(u3_msualg_1(A, C), u3_msualg_1(B, D)) =>  (! [E] :  ( (v3_msualg_1(E, k2_circcomb(A, B)) &  (v4_msualg_1(E, k2_circcomb(A, B)) & l3_msualg_1(E, k2_circcomb(A, B))) )  =>  (E=k3_circcomb(A, B, C, D) <=>  (u3_msualg_1(k2_circcomb(A, B), E)=k1_funct_4(u3_msualg_1(A, C), u3_msualg_1(B, D)) & u4_msualg_1(k2_circcomb(A, B), E)=k1_circcomb(u4_struct_0(A), k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, C))), k3_relat_1(u2_msualg_1(A), u3_msualg_1(A, C)), u4_struct_0(B), k3_relat_1(u1_msualg_1(B), k6_finseq_2(u1_struct_0(B), u3_msualg_1(B, D))), k3_relat_1(u2_msualg_1(B), u3_msualg_1(B, D)), u4_msualg_1(A, C), u4_msualg_1(B, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) => r2_circcomb(A, A, B, B)) ) ) ) ).
fof(t19_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (l3_msualg_1(D, B) =>  (r2_circcomb(A, B, C, D) => r2_circcomb(B, A, D, C)) ) ) ) ) ) ) ) ) ).
fof(t20_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_msualg_1(C))  =>  (! [D] :  ( (v4_msualg_1(D, A) & l3_msualg_1(D, A))  =>  (! [E] :  ( (v4_msualg_1(E, B) & l3_msualg_1(E, B))  =>  (! [F] :  (l3_msualg_1(F, C) =>  ( (r2_circcomb(A, B, D, E) &  (r2_circcomb(B, C, E, F) & r2_circcomb(C, A, F, D)) )  => r2_circcomb(k2_circcomb(A, B), C, k3_circcomb(A, B, D, E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_msualg_1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  => k3_circcomb(A, A, B, B)=g3_msualg_1(A, u3_msualg_1(A, B), u4_msualg_1(A, B))) ) ) ) ).
fof(t22_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  ( (v4_msualg_1(D, B) & l3_msualg_1(D, B))  =>  (r2_circcomb(A, B, C, D) => k3_circcomb(A, B, C, D)=k3_circcomb(B, A, D, C)) ) ) ) ) ) ) ) ) ).
fof(t23_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_msualg_1(C))  =>  (! [D] :  ( (v4_msualg_1(D, A) & l3_msualg_1(D, A))  =>  (! [E] :  ( (v4_msualg_1(E, B) & l3_msualg_1(E, B))  =>  (! [F] :  ( (v4_msualg_1(F, C) & l3_msualg_1(F, C))  =>  ( (r1_partfun1(u3_msualg_1(A, D), u3_msualg_1(B, E)) &  (r1_partfun1(u3_msualg_1(B, E), u3_msualg_1(C, F)) & r1_partfun1(u3_msualg_1(C, F), u3_msualg_1(A, D))) )  => k3_circcomb(k2_circcomb(A, B), C, k3_circcomb(A, B, D, E), F)=k3_circcomb(A, k2_circcomb(B, C), D, k3_circcomb(B, C, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v4_msafree2(C, A) & l3_msualg_1(C, A)) )  =>  (! [D] :  ( (v4_msualg_1(D, B) &  (v4_msafree2(D, B) & l3_msualg_1(D, B)) )  =>  (r1_partfun1(u3_msualg_1(A, C), u3_msualg_1(B, D)) => v4_msafree2(k3_circcomb(A, B, C, D), k2_circcomb(A, B))) ) ) ) ) ) ) ) ) ).
fof(t25_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(A, C))) =>  (! [E] :  ( (v4_msualg_1(E, B) & l3_msualg_1(E, B))  =>  (! [F] :  (m1_subset_1(F, k4_card_3(u3_msualg_1(B, E))) =>  (r1_partfun1(u3_msualg_1(A, C), u3_msualg_1(B, E)) => r2_tarski(k1_funct_4(D, F), k4_card_3(u3_msualg_1(k2_circcomb(A, B), k3_circcomb(A, B, C, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  ( (v4_msualg_1(D, B) & l3_msualg_1(D, B))  =>  (r1_partfun1(u3_msualg_1(A, C), u3_msualg_1(B, D)) =>  (! [E] :  (m1_subset_1(E, k4_card_3(u3_msualg_1(k2_circcomb(A, B), k3_circcomb(A, B, C, D)))) =>  (r2_tarski(k11_card_3(u3_msualg_1(k2_circcomb(A, B), k3_circcomb(A, B, C, D)), E, u1_struct_0(A)), k4_card_3(u3_msualg_1(A, C))) & r2_tarski(k11_card_3(u3_msualg_1(k2_circcomb(A, B), k3_circcomb(A, B, C, D)), E, u1_struct_0(B)), k4_card_3(u3_msualg_1(B, D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  ( (v4_msualg_1(D, B) & l3_msualg_1(D, B))  =>  (r1_partfun1(u3_msualg_1(A, C), u3_msualg_1(B, D)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(k2_circcomb(A, B))) =>  (! [F] :  (m1_subset_1(F, u4_struct_0(B)) =>  (E=F => r1_funct_2(k3_msualg_1(k2_circcomb(A, B), E, k3_circcomb(A, B, C, D)), k4_msualg_1(k2_circcomb(A, B), E, k3_circcomb(A, B, C, D)), k3_msualg_1(B, F, D), k4_msualg_1(B, F, D), k5_msualg_1(k2_circcomb(A, B), E, k3_circcomb(A, B, C, D)), k5_msualg_1(B, F, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  ( (v4_msualg_1(D, B) & l3_msualg_1(D, B))  =>  ( (r1_partfun1(u3_msualg_1(A, C), u3_msualg_1(B, D)) & r1_partfun1(u4_msualg_1(A, C), u4_msualg_1(B, D)))  =>  (! [E] :  (m1_subset_1(E, u4_struct_0(k2_circcomb(A, B))) =>  (! [F] :  (m1_subset_1(F, u4_struct_0(A)) =>  (E=F => r1_funct_2(k3_msualg_1(k2_circcomb(A, B), E, k3_circcomb(A, B, C, D)), k4_msualg_1(k2_circcomb(A, B), E, k3_circcomb(A, B, C, D)), k3_msualg_1(A, F, C), k4_msualg_1(A, F, C), k5_msualg_1(k2_circcomb(A, B), E, k3_circcomb(A, B, C, D)), k5_msualg_1(A, F, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_msafree2(C) & l1_msualg_1(C)) ) )  =>  (C=k2_circcomb(A, B) =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree2(D, A) & l3_msualg_1(D, A)) )  =>  (! [E] :  ( (v4_msualg_1(E, B) &  (v4_msafree2(E, B) & l3_msualg_1(E, B)) )  =>  (! [F] :  ( (v4_msualg_1(F, C) &  (v4_msafree2(F, C) & l3_msualg_1(F, C)) )  =>  (! [G] :  (m1_subset_1(G, k4_card_3(u3_msualg_1(C, F))) =>  (! [H] :  (m1_subset_1(H, k4_card_3(u3_msualg_1(B, E))) =>  (H=k11_card_3(u3_msualg_1(C, F), G, u1_struct_0(B)) =>  (! [I] :  (m1_subset_1(I, u4_struct_0(C)) =>  (! [J] :  (m1_subset_1(J, u4_struct_0(B)) =>  (I=J => k3_circuit1(C, F, G, I)=k3_circuit1(B, E, H, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_msafree2(C) & l1_msualg_1(C)) ) )  =>  ( (C=k2_circcomb(A, B) & r1_circcomb(A, B))  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree2(D, A) & l3_msualg_1(D, A)) )  =>  (! [E] :  ( (v4_msualg_1(E, B) &  (v4_msafree2(E, B) & l3_msualg_1(E, B)) )  =>  (! [F] :  ( (v4_msualg_1(F, C) &  (v4_msafree2(F, C) & l3_msualg_1(F, C)) )  =>  (! [G] :  (m1_subset_1(G, k4_card_3(u3_msualg_1(C, F))) =>  (! [H] :  (m1_subset_1(H, k4_card_3(u3_msualg_1(A, D))) =>  (H=k11_card_3(u3_msualg_1(C, F), G, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u4_struct_0(C)) =>  (! [J] :  (m1_subset_1(J, u4_struct_0(A)) =>  (I=J => k3_circuit1(C, F, G, I)=k3_circuit1(A, D, H, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_msafree2(C) & l1_msualg_1(C)) ) )  =>  (C=k2_circcomb(A, B) =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree2(D, A) & l3_msualg_1(D, A)) )  =>  (! [E] :  ( (v4_msualg_1(E, B) &  (v4_msafree2(E, B) & l3_msualg_1(E, B)) )  =>  (! [F] :  ( (v4_msualg_1(F, C) &  (v4_msafree2(F, C) & l3_msualg_1(F, C)) )  =>  ( (r2_circcomb(A, B, D, E) & F=k3_circcomb(A, B, D, E))  =>  (! [G] :  (m1_subset_1(G, k4_card_3(u3_msualg_1(C, F))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(C)) =>  ( (! [I] :  (m1_subset_1(I, k4_card_3(u3_msualg_1(A, D))) =>  (I=k11_card_3(u3_msualg_1(C, F), G, u1_struct_0(A)) =>  ( ( ~ (r2_tarski(H, k3_msafree2(A)))  &  ~ ( (r2_tarski(H, u1_struct_0(A)) & r2_tarski(H, k2_msafree2(C))) ) )  | k1_funct_1(k6_circuit2(C, F, G), H)=k1_funct_1(k6_circuit2(A, D, I), H)) ) ) )  &  (! [I] :  (m1_subset_1(I, k4_card_3(u3_msualg_1(B, E))) =>  (I=k11_card_3(u3_msualg_1(C, F), G, u1_struct_0(B)) =>  ( ( ~ (r2_tarski(H, k3_msafree2(B)))  &  ~ ( (r2_tarski(H, u1_struct_0(B)) & r2_tarski(H, k2_msafree2(C))) ) )  | k1_funct_1(k6_circuit2(C, F, G), H)=k1_funct_1(k6_circuit2(B, E, I), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_msafree2(C) & l1_msualg_1(C)) ) )  =>  ( (r1_xboole_0(k3_msafree2(A), k2_msafree2(B)) & C=k2_circcomb(A, B))  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree2(D, A) & l3_msualg_1(D, A)) )  =>  (! [E] :  ( (v4_msualg_1(E, B) &  (v4_msafree2(E, B) & l3_msualg_1(E, B)) )  =>  (! [F] :  ( (v4_msualg_1(F, C) &  (v4_msafree2(F, C) & l3_msualg_1(F, C)) )  =>  ( (r2_circcomb(A, B, D, E) & F=k3_circcomb(A, B, D, E))  =>  (! [G] :  (m1_subset_1(G, k4_card_3(u3_msualg_1(C, F))) =>  (! [H] :  (m1_subset_1(H, k4_card_3(u3_msualg_1(A, D))) =>  (! [I] :  (m1_subset_1(I, k4_card_3(u3_msualg_1(B, E))) =>  ( (H=k11_card_3(u3_msualg_1(C, F), G, u1_struct_0(A)) & I=k11_card_3(u3_msualg_1(C, F), G, u1_struct_0(B)))  => k6_circuit2(C, F, G)=k1_funct_4(k6_circuit2(A, D, H), k6_circuit2(B, E, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_msafree2(C) & l1_msualg_1(C)) ) )  =>  ( (r1_xboole_0(k3_msafree2(B), k2_msafree2(A)) & C=k2_circcomb(A, B))  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree2(D, A) & l3_msualg_1(D, A)) )  =>  (! [E] :  ( (v4_msualg_1(E, B) &  (v4_msafree2(E, B) & l3_msualg_1(E, B)) )  =>  (! [F] :  ( (v4_msualg_1(F, C) &  (v4_msafree2(F, C) & l3_msualg_1(F, C)) )  =>  ( (r2_circcomb(A, B, D, E) & F=k3_circcomb(A, B, D, E))  =>  (! [G] :  (m1_subset_1(G, k4_card_3(u3_msualg_1(C, F))) =>  (! [H] :  (m1_subset_1(H, k4_card_3(u3_msualg_1(A, D))) =>  (! [I] :  (m1_subset_1(I, k4_card_3(u3_msualg_1(B, E))) =>  ( (H=k11_card_3(u3_msualg_1(C, F), G, u1_struct_0(A)) & I=k11_card_3(u3_msualg_1(C, F), G, u1_struct_0(B)))  => k6_circuit2(C, F, G)=k1_funct_4(k6_circuit2(B, E, I), k6_circuit2(A, D, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_msafree2(C) & l1_msualg_1(C)) ) )  =>  ( (r1_tarski(k2_msafree2(A), k2_msafree2(B)) & C=k2_circcomb(A, B))  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree2(D, A) & l3_msualg_1(D, A)) )  =>  (! [E] :  ( (v4_msualg_1(E, B) &  (v4_msafree2(E, B) & l3_msualg_1(E, B)) )  =>  (! [F] :  ( (v4_msualg_1(F, C) &  (v4_msafree2(F, C) & l3_msualg_1(F, C)) )  =>  ( (r2_circcomb(A, B, D, E) & F=k3_circcomb(A, B, D, E))  =>  (! [G] :  (m1_subset_1(G, k4_card_3(u3_msualg_1(C, F))) =>  (! [H] :  (m1_subset_1(H, k4_card_3(u3_msualg_1(A, D))) =>  (! [I] :  (m1_subset_1(I, k4_card_3(u3_msualg_1(B, E))) =>  ( (H=k11_card_3(u3_msualg_1(C, F), G, u1_struct_0(A)) & I=k11_card_3(u3_msualg_1(C, F), G, u1_struct_0(B)))  => k6_circuit2(C, F, G)=k1_funct_4(k6_circuit2(B, E, I), k6_circuit2(A, D, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_msafree2(C) & l1_msualg_1(C)) ) )  =>  ( (r1_tarski(k2_msafree2(B), k2_msafree2(A)) & C=k2_circcomb(A, B))  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree2(D, A) & l3_msualg_1(D, A)) )  =>  (! [E] :  ( (v4_msualg_1(E, B) &  (v4_msafree2(E, B) & l3_msualg_1(E, B)) )  =>  (! [F] :  ( (v4_msualg_1(F, C) &  (v4_msafree2(F, C) & l3_msualg_1(F, C)) )  =>  ( (r2_circcomb(A, B, D, E) & F=k3_circcomb(A, B, D, E))  =>  (! [G] :  (m1_subset_1(G, k4_card_3(u3_msualg_1(C, F))) =>  (! [H] :  (m1_subset_1(H, k4_card_3(u3_msualg_1(A, D))) =>  (! [I] :  (m1_subset_1(I, k4_card_3(u3_msualg_1(B, E))) =>  ( (H=k11_card_3(u3_msualg_1(C, F), G, u1_struct_0(A)) & I=k11_card_3(u3_msualg_1(C, F), G, u1_struct_0(B)))  => k6_circuit2(C, F, G)=k1_funct_4(k6_circuit2(A, D, H), k6_circuit2(B, E, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_circcomb, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (! [D] :  ( ( ~ (v11_struct_0(D))  &  (v1_msualg_1(D) & l1_msualg_1(D)) )  =>  (D=k4_circcomb(A, B, C) <=>  (u1_struct_0(D)=k2_xboole_0(k10_xtuple_0(B), k1_tarski(C)) &  (u4_struct_0(D)=k1_tarski(k4_tarski(B, A)) &  (k1_funct_1(u1_msualg_1(D), k4_tarski(B, A))=B & k1_funct_1(u2_msualg_1(D), k4_tarski(B, A))=C) ) ) ) ) ) ) ) ) ) ).
fof(t36_circcomb, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (u1_msualg_1(k4_circcomb(A, C, B))=k13_funcop_1(C, A, C) & u2_msualg_1(k4_circcomb(A, C, B))=k13_funcop_1(C, A, B)) ) ) ) ) ).
fof(t37_circcomb, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  (m1_subset_1(D, u4_struct_0(k4_circcomb(A, C, B))) =>  (D=k4_tarski(C, A) &  (k1_msualg_1(k4_circcomb(A, C, B), D)=C & k2_msualg_1(k4_circcomb(A, C, B), D)=B) ) ) ) ) ) ) ) ).
fof(t38_circcomb, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (k2_msafree2(k4_circcomb(A, C, B))=k6_subset_1(k10_xtuple_0(C), k1_tarski(B)) & k3_msafree2(k4_circcomb(A, C, B))=k1_tarski(B)) ) ) ) ) ).
fof(d6_circcomb, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( ( ~ (v11_struct_0(C))  &  (v1_msualg_1(C) & l1_msualg_1(C)) )  =>  (C=k5_circcomb(A, B) <=>  (u1_struct_0(C)=k2_xboole_0(k10_xtuple_0(B), k1_tarski(k4_tarski(B, A))) &  (u4_struct_0(C)=k1_tarski(k4_tarski(B, A)) &  (k1_funct_1(u1_msualg_1(C), k4_tarski(B, A))=B & k1_funct_1(u2_msualg_1(C), k4_tarski(B, A))=k4_tarski(B, A)) ) ) ) ) ) ) ) ) ).
fof(t39_circcomb, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => k5_circcomb(A, B)=k4_circcomb(A, B, k4_tarski(B, A))) ) ) ).
fof(t40_circcomb, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (u1_msualg_1(k5_circcomb(A, B))=k13_funcop_1(B, A, B) & u2_msualg_1(k5_circcomb(A, B))=k13_funcop_1(B, A, k4_tarski(B, A))) ) ) ) ).
fof(t41_circcomb, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(k5_circcomb(A, B))) =>  (C=k4_tarski(B, A) &  (k1_msualg_1(k5_circcomb(A, B), C)=B & k2_msualg_1(k5_circcomb(A, B), C)=C) ) ) ) ) ) ) ).
fof(t42_circcomb, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (k2_msafree2(k5_circcomb(A, B))=k10_xtuple_0(B) & k3_msafree2(k5_circcomb(A, B))=k1_tarski(k4_tarski(B, A))) ) ) ) ).
fof(t43_circcomb, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  => r1_circcomb(k5_circcomb(A, B), k5_circcomb(A, C))) ) ) ) ) ).
fof(d7_circcomb, axiom,  (! [A] :  (l1_msualg_1(A) =>  (v1_circcomb(A) <=> u2_msualg_1(A)=k6_partfun1(u4_struct_0(A))) ) ) ).
fof(d8_circcomb, axiom,  (! [A] :  (l1_msualg_1(A) =>  (v2_circcomb(A) <=>  (! [B] :  (r2_tarski(B, u4_struct_0(A)) => B=k4_tarski(k1_funct_1(u1_msualg_1(A), B), k2_xtuple_0(B))) ) ) ) ) ).
fof(d9_circcomb, axiom,  (! [A] :  (l1_msualg_1(A) =>  (v3_circcomb(A) <=>  (! [B] :  (r2_tarski(B, u4_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ~ ( (C=k1_funct_1(u1_msualg_1(A), B) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(k3_finseq_1(C), k5_margrel1), k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(k3_finseq_1(C), k5_margrel1), k5_margrel1)))) )  =>  ~ (B=k4_tarski(k1_xtuple_0(B), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  (l3_msualg_1(B, A) =>  (v4_circcomb(B, A) <=>  (! [C] :  (r2_tarski(C, u4_struct_0(A)) => C=k4_tarski(k1_xtuple_0(C), k1_funct_1(u4_msualg_1(A, B), C))) ) ) ) ) ) ) ).
fof(d11_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (v5_circcomb(A) <=>  (? [B] :  (l3_msualg_1(B, A) & v4_circcomb(B, A)) ) ) ) ) ).
fof(t44_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (v1_circcomb(A) <=>  (! [B] :  (r2_hidden(B, u4_struct_0(A)) => k1_funct_1(u2_msualg_1(A), B)=B) ) ) ) ) ).
fof(t45_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (v1_circcomb(A) => r1_tarski(u4_struct_0(A), u1_struct_0(A))) ) ) ).
fof(t46_circcomb, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (v1_circcomb(k5_circcomb(A, B)) & v2_circcomb(k5_circcomb(A, B))) ) ) ) ).
fof(t47_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_circcomb(A) &  (v2_circcomb(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_circcomb(B) &  (v2_circcomb(B) & l1_msualg_1(B)) ) )  => r1_circcomb(A, B)) ) ) ) ).
fof(t48_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (l3_msualg_1(D, B) =>  ( (v4_circcomb(C, A) & v4_circcomb(D, B))  => r1_partfun1(u4_msualg_1(A, C), u4_msualg_1(B, D))) ) ) ) ) ) ) ) ) ).
fof(t49_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_circcomb(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_circcomb(B) & l1_msualg_1(B)) )  => v1_circcomb(k2_circcomb(A, B))) ) ) ) ).
fof(t50_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_circcomb(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_circcomb(B) & l1_msualg_1(B)) )  => v2_circcomb(k2_circcomb(A, B))) ) ) ) ).
fof(t51_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  ( (v3_circcomb(A) & v3_circcomb(B))  => v3_circcomb(k2_circcomb(A, B))) ) ) ) ) ).
fof(d12_circcomb, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A, B), C)))) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) &  (v3_card_1(E, A) & v1_finseq_1(E)) ) )  =>  (! [F] :  ( (r2_tarski(F, k10_xtuple_0(E)) => B=C)  =>  (! [G] :  ( (v3_msualg_1(G, k4_circcomb(D, E, F)) &  (v4_msualg_1(G, k4_circcomb(D, E, F)) & l3_msualg_1(G, k4_circcomb(D, E, F))) )  =>  (G=k6_circcomb(A, B, C, D, E, F) <=>  (u3_msualg_1(k4_circcomb(D, E, F), G)=k1_funct_4(k7_funcop_1(k10_xtuple_0(E), B), k17_funcop_1(F, C)) & k1_funct_1(u4_msualg_1(k4_circcomb(D, E, F), G), k4_tarski(E, D))=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_circcomb, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_2(A, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A, B), B)))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, A) & v1_finseq_1(D)) ) )  =>  (! [E] :  ( (v3_msualg_1(E, k5_circcomb(C, D)) &  (v4_msualg_1(E, k5_circcomb(C, D)) & l3_msualg_1(E, k5_circcomb(C, D))) )  =>  (E=k7_circcomb(A, B, C, D) <=>  (r8_pboole(u1_struct_0(k5_circcomb(C, D)), u3_msualg_1(k5_circcomb(C, D), E), k7_funcop_1(u1_struct_0(k5_circcomb(C, D)), B)) & k1_funct_1(u4_msualg_1(k5_circcomb(C, D), E), k4_tarski(D, C))=C) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_circcomb, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_2(A, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A, B), B)))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, A) & v1_finseq_1(D)) ) )  =>  (v4_circcomb(k7_circcomb(A, B, C, D), k5_circcomb(C, D)) & v5_circcomb(k5_circcomb(C, D))) ) ) ) ) ) ) ) ) ).
fof(t53_circcomb, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_2(A, k5_margrel1), k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A, k5_margrel1), k5_margrel1)))) )  => v3_circcomb(k5_circcomb(C, B))) ) ) ) ) ) ).
fof(t54_circcomb, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_2(A, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A, B), B)))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, A) & v1_finseq_1(D)) ) )  =>  (u4_msualg_1(k5_circcomb(C, D), k7_circcomb(A, B, C, D))=k13_funcop_1(D, C, C) &  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_circcomb(C, D))) => k1_funct_1(u3_msualg_1(k5_circcomb(C, D), k7_circcomb(A, B, C, D)), E)=B) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_circcomb, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_2(A, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A, B), B)))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, A) & v1_finseq_1(D)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) &  (v3_card_1(E, A) & v1_finseq_1(E)) ) )  => r2_circcomb(k5_circcomb(C, D), k5_circcomb(C, E), k7_circcomb(A, B, C, D), k7_circcomb(A, B, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t56_circcomb, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_2(A, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A, B), B)))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, A) & v1_finseq_1(D)) ) )  =>  (! [E] :  (m1_subset_1(E, k4_card_3(u3_msualg_1(k5_circcomb(C, D), k7_circcomb(A, B, C, D)))) => k1_funct_1(k6_circuit2(k5_circcomb(C, D), k7_circcomb(A, B, C, D), E), k4_tarski(D, C))=k1_funct_1(C, k3_relat_1(D, E))) ) ) ) ) ) ) ) ) ) ).
fof(d14_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  (l3_msualg_1(B, A) =>  (v6_circcomb(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_funct_1(u3_msualg_1(A, B), C)=k5_margrel1) ) ) ) ) ) ) ).
fof(t57_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  (l3_msualg_1(B, A) =>  (v6_circcomb(B, A) <=> r8_pboole(u1_struct_0(A), u3_msualg_1(A, B), k7_funcop_1(u1_struct_0(A), k5_margrel1))) ) ) ) ) ).
fof(t58_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  (l3_msualg_1(B, A) =>  (v6_circcomb(B, A) <=> r1_tarski(k10_xtuple_0(u3_msualg_1(A, B)), k1_tarski(k5_margrel1))) ) ) ) ) ).
fof(t59_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (l3_msualg_1(D, B) =>  ( (v6_circcomb(C, A) & v6_circcomb(D, B))  => r1_partfun1(u3_msualg_1(A, C), u3_msualg_1(B, D))) ) ) ) ) ) ) ) ) ).
fof(t60_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_circcomb(A) &  (v2_circcomb(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_circcomb(B) &  (v2_circcomb(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (l3_msualg_1(D, B) =>  ( (v6_circcomb(C, A) &  (v4_circcomb(C, A) &  (v6_circcomb(D, B) & v4_circcomb(D, B)) ) )  => r2_circcomb(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t61_circcomb, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_2(A, k5_margrel1), k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A, k5_margrel1), k5_margrel1)))) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) )  => v6_circcomb(k7_circcomb(A, k5_margrel1, B, C), k5_circcomb(B, C))) ) ) ) ) ) ).
fof(t62_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( (v6_circcomb(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  ( (v6_circcomb(D, B) & l3_msualg_1(D, B))  => v6_circcomb(k3_circcomb(A, B, C, D), k2_circcomb(A, B))) ) ) ) ) ) ) ) ).
fof(t63_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  ( (v4_msualg_1(D, B) & l3_msualg_1(D, B))  =>  ( (v4_circcomb(C, A) &  (v4_circcomb(D, B) & r1_partfun1(u3_msualg_1(A, C), u3_msualg_1(B, D))) )  => v4_circcomb(k3_circcomb(A, B, C, D), k2_circcomb(A, B))) ) ) ) ) ) ) ) ) ).
fof(t64_circcomb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_circcomb(A) &  (v2_circcomb(A) &  (v3_circcomb(A) & l1_msualg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_circcomb(B) &  (v2_circcomb(B) &  (v3_circcomb(B) & l1_msualg_1(B)) ) ) ) )  =>  (! [C] :  ( (v4_msafree2(C, A) &  (v4_circcomb(C, A) &  (v6_circcomb(C, A) & l3_msualg_1(C, A)) ) )  =>  (! [D] :  ( (v4_msafree2(D, B) &  (v4_circcomb(D, B) &  (v6_circcomb(D, B) & l3_msualg_1(D, B)) ) )  =>  (! [E] :  (m1_subset_1(E, k4_card_3(u3_msualg_1(k2_circcomb(A, B), k3_circcomb(A, B, C, D)))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_circcomb(A, B))) =>  ( (! [G] :  (m1_subset_1(G, k4_card_3(u3_msualg_1(A, C))) =>  (G=k11_card_3(u3_msualg_1(k2_circcomb(A, B), k3_circcomb(A, B, C, D)), E, u1_struct_0(A)) =>  ( ( ~ (r2_tarski(F, k3_msafree2(A)))  &  ~ ( (r2_tarski(F, u1_struct_0(A)) & r2_tarski(F, k2_msafree2(k2_circcomb(A, B)))) ) )  | k1_funct_1(k6_circuit2(k2_circcomb(A, B), k3_circcomb(A, B, C, D), E), F)=k1_funct_1(k6_circuit2(A, C, G), F)) ) ) )  &  (! [G] :  (m1_subset_1(G, k4_card_3(u3_msualg_1(B, D))) =>  (G=k11_card_3(u3_msualg_1(k2_circcomb(A, B), k3_circcomb(A, B, C, D)), E, u1_struct_0(B)) =>  ( ( ~ (r2_tarski(F, k3_msafree2(B)))  &  ~ ( (r2_tarski(F, u1_struct_0(B)) & r2_tarski(F, k2_msafree2(k2_circcomb(A, B)))) ) )  | k1_funct_1(k6_circuit2(k2_circcomb(A, B), k3_circcomb(A, B, C, D), E), F)=k1_funct_1(k6_circuit2(B, D, G), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_circcomb, axiom,  (? [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, f1_s1_circcomb) &  (v1_funct_1(A) & v1_partfun1(A, f1_s1_circcomb)) ) )  &  (! [B] :  (! [C] :  (m1_subset_1(C, f2_s1_circcomb) =>  ( (r2_tarski(B, f1_s1_circcomb) & C=k1_funct_1(f3_s1_circcomb, B))  => k1_funct_1(A, B)=f4_s1_circcomb(B, C)) ) ) ) ) ) ).
fof(s2_circcomb, axiom,  ( (! [A] :  (! [B] :  (m2_finseq_2(B, u1_struct_0(f1_s2_circcomb), k3_finseq_2(u1_struct_0(f1_s2_circcomb))) =>  ( (r2_tarski(A, u4_struct_0(f1_s2_circcomb)) & B=k1_funct_1(u1_msualg_1(f1_s2_circcomb), A))  =>  (v1_funct_1(f2_s2_circcomb(A, B)) &  (v1_funct_2(f2_s2_circcomb(A, B), k4_finseq_2(k3_finseq_1(B), k5_margrel1), k5_margrel1) & m1_subset_1(f2_s2_circcomb(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(k3_finseq_1(B), k5_margrel1), k5_margrel1)))) ) ) ) ) )  =>  (? [A] :  ( (v3_msualg_1(A, f1_s2_circcomb) & l3_msualg_1(A, f1_s2_circcomb))  &  (r8_pboole(u1_struct_0(f1_s2_circcomb), u3_msualg_1(f1_s2_circcomb, A), k7_funcop_1(u1_struct_0(f1_s2_circcomb), k5_margrel1)) &  (! [B] :  (! [C] :  (m2_finseq_2(C, u1_struct_0(f1_s2_circcomb), k3_finseq_2(u1_struct_0(f1_s2_circcomb))) =>  ( (r2_tarski(B, u4_struct_0(f1_s2_circcomb)) & C=k1_funct_1(u1_msualg_1(f1_s2_circcomb), B))  => k1_funct_1(u4_msualg_1(f1_s2_circcomb, A), B)=f2_s2_circcomb(B, C)) ) ) ) ) ) ) ) ).
fof(dt_k1_circcomb, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  &  ( (v1_relat_1(E) &  (v2_relat_1(E) &  (v4_relat_1(E, D) &  (v1_funct_1(E) & v1_partfun1(E, D)) ) ) )  &  ( (v1_relat_1(F) &  (v2_relat_1(F) &  (v4_relat_1(F, D) &  (v1_funct_1(F) & v1_partfun1(F, D)) ) ) )  &  (m2_pboole(G, A, B, C) & m2_pboole(H, D, E, F)) ) ) ) )  => m2_pboole(k1_circcomb(A, B, C, D, E, F, G, H), k2_xboole_0(A, D), k1_funct_4(B, E), k1_funct_4(C, F))) ) ).
fof(idempotence_k1_circcomb, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  &  ( (v1_relat_1(E) &  (v2_relat_1(E) &  (v4_relat_1(E, D) &  (v1_funct_1(E) & v1_partfun1(E, D)) ) ) )  &  ( (v1_relat_1(F) &  (v2_relat_1(F) &  (v4_relat_1(F, D) &  (v1_funct_1(F) & v1_partfun1(F, D)) ) ) )  &  (m2_pboole(G, A, B, C) & m2_pboole(H, D, E, F)) ) ) ) )  => k1_circcomb(A, B, C, D, E, F, G, G)=G) ) ).
fof(redefinition_k1_circcomb, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  &  ( (v1_relat_1(E) &  (v2_relat_1(E) &  (v4_relat_1(E, D) &  (v1_funct_1(E) & v1_partfun1(E, D)) ) ) )  &  ( (v1_relat_1(F) &  (v2_relat_1(F) &  (v4_relat_1(F, D) &  (v1_funct_1(F) & v1_partfun1(F, D)) ) ) )  &  (m2_pboole(G, A, B, C) & m2_pboole(H, D, E, F)) ) ) ) )  => k1_circcomb(A, B, C, D, E, F, G, H)=k1_funct_4(G, H)) ) ).
fof(symmetry_r1_circcomb, axiom,  (! [A, B] :  ( (l1_msualg_1(A) & l1_msualg_1(B))  =>  (r1_circcomb(A, B) => r1_circcomb(B, A)) ) ) ).
fof(reflexivity_r1_circcomb, axiom,  (! [A, B] :  ( (l1_msualg_1(A) & l1_msualg_1(B))  => r1_circcomb(A, A)) ) ).
fof(dt_k2_circcomb, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  &  ( ~ (v2_struct_0(B))  & l1_msualg_1(B)) )  =>  ( ~ (v2_struct_0(k2_circcomb(A, B)))  &  (v1_msualg_1(k2_circcomb(A, B)) & l1_msualg_1(k2_circcomb(A, B))) ) ) ) ).
fof(dt_k3_circcomb, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  &  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  &  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  &  (v4_msualg_1(D, B) & l3_msualg_1(D, B)) ) ) )  =>  (v3_msualg_1(k3_circcomb(A, B, C, D), k2_circcomb(A, B)) &  (v4_msualg_1(k3_circcomb(A, B, C, D), k2_circcomb(A, B)) & l3_msualg_1(k3_circcomb(A, B, C, D), k2_circcomb(A, B))) ) ) ) ).
fof(dt_k4_circcomb, axiom,  (! [A, B, C] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( ~ (v11_struct_0(k4_circcomb(A, B, C)))  &  (v1_msualg_1(k4_circcomb(A, B, C)) & l1_msualg_1(k4_circcomb(A, B, C))) ) ) ) ).
fof(dt_k5_circcomb, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( ~ (v11_struct_0(k5_circcomb(A, B)))  &  (v1_msualg_1(k5_circcomb(A, B)) & l1_msualg_1(k5_circcomb(A, B))) ) ) ) ).
fof(dt_f3_s1_circcomb, axiom,  (v1_funct_1(f3_s1_circcomb) &  (v1_funct_2(f3_s1_circcomb, f1_s1_circcomb, f2_s1_circcomb) & m1_subset_1(f3_s1_circcomb, k1_zfmisc_1(k2_zfmisc_1(f1_s1_circcomb, f2_s1_circcomb)))) ) ).
fof(dt_f1_s2_circcomb, axiom,  ( ~ (v2_struct_0(f1_s2_circcomb))  & l1_msualg_1(f1_s2_circcomb)) ).
fof(dt_k6_circcomb, axiom,  (! [A, B, C, D, E, F] :  ( (v7_ordinal1(A) &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A, B), C)))) )  &  (v1_relat_1(E) &  (v1_funct_1(E) &  (v3_card_1(E, A) & v1_finseq_1(E)) ) ) ) ) ) )  =>  (v3_msualg_1(k6_circcomb(A, B, C, D, E, F), k4_circcomb(D, E, F)) &  (v4_msualg_1(k6_circcomb(A, B, C, D, E, F), k4_circcomb(D, E, F)) & l3_msualg_1(k6_circcomb(A, B, C, D, E, F), k4_circcomb(D, E, F))) ) ) ) ).
fof(dt_k7_circcomb, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_2(A, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A, B), B)))) )  &  (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, A) & v1_finseq_1(D)) ) ) ) ) )  =>  (v3_msualg_1(k7_circcomb(A, B, C, D), k5_circcomb(C, D)) &  (v4_msualg_1(k7_circcomb(A, B, C, D), k5_circcomb(C, D)) & l3_msualg_1(k7_circcomb(A, B, C, D), k5_circcomb(C, D))) ) ) ) ).
fof(fc1_circled1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  ( (v3_rltopsp1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  (v3_rltopsp1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  => v3_rltopsp1(k1_rusub_5(A, B, C), A)) ) ).
fof(fc2_circled1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ (v1_xboole_0(k1_circled1(A, B))) ) ) ).
fof(rc1_circled1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_rlvect_2(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v5_relat_1(B, k1_numbers) &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) & v1_circled1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_circled1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (? [C] :  (m2_rlvect_2(C, A, B) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v5_relat_1(C, k1_numbers) &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) &  (v1_valued_0(C) &  (v2_valued_0(C) &  (v3_valued_0(C) & v1_circled1(C, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_circled1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v3_rltopsp1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v3_rltopsp1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  => v3_rltopsp1(k1_rusub_5(A, B, C), A)) ) ) ) ) ) ).
fof(d1_circled1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_rltopsp1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(k9_complex1(D), 1) & r2_tarski(C, B))  => r2_tarski(k1_rlvect_1(A, C, D), B)) ) ) ) ) ) ) ) ) ) ).
fof(t2_circled1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (v1_xreal_0(C) =>  (v3_rltopsp1(B, A) => v3_rltopsp1(k1_convex1(A, B, C), A)) ) ) ) ) ) ) ).
fof(t3_circled1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ( (v3_rltopsp1(B, A) & v3_rltopsp1(C, A))  => v3_rltopsp1(k7_rusub_4(A, k1_convex1(A, B, D), k1_convex1(A, C, E)), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_circled1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ( (v3_rltopsp1(B, A) &  (v3_rltopsp1(C, A) & v3_rltopsp1(D, A)) )  => v3_rltopsp1(k7_rusub_4(A, k7_rusub_4(A, k1_convex1(A, B, E), k1_convex1(A, C, F)), k1_convex1(A, D, G)), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_circled1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  => v3_rltopsp1(k3_rusub_4(A, k1_rlsub_1(A)), A)) ) ).
fof(t6_circled1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  => v3_rltopsp1(k3_rusub_4(A, k2_rlsub_1(A)), A)) ) ).
fof(t7_circled1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v3_rltopsp1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v3_rltopsp1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  => v3_rltopsp1(k9_subset_1(u1_struct_0(A), B, C), A)) ) ) ) ) ) ).
fof(t8_circled1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v3_rltopsp1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v3_rltopsp1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  => v3_rltopsp1(k4_subset_1(u1_struct_0(A), B, C), A)) ) ) ) ) ) ).
fof(d2_circled1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (C=k1_circled1(A, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(D, C) <=>  (v3_rltopsp1(D, A) & r1_tarski(B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_circled1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k2_circled1(A, B)=k6_setfam_1(u1_struct_0(A), k1_circled1(A, B))) ) ) ) ).
fof(t9_circled1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(B, C) => r1_tarski(k1_circled1(A, C), k1_circled1(A, B))) ) ) ) ) ) ) ).
fof(t10_circled1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(B, C) => r1_tarski(k2_circled1(A, B), k2_circled1(A, C))) ) ) ) ) ) ) ).
fof(t11_circled1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(B, k2_circled1(A, B))) ) ) ) ).
fof(t12_circled1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v3_rltopsp1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (r1_tarski(B, C) => r1_tarski(k2_circled1(A, B), C)) ) ) ) ) ) ) ).
fof(t13_circled1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v3_rltopsp1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => k2_circled1(A, B)=B) ) ) ) ).
fof(t14_circled1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  => k2_circled1(A, k1_struct_0(A))=k1_xboole_0) ) ).
fof(t15_circled1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (v1_xreal_0(C) => k1_convex1(A, k2_circled1(A, B), C)=k2_circled1(A, k1_convex1(A, B, C))) ) ) ) ) ) ).
fof(d4_circled1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (v1_circled1(B, A) <=>  (? [C] :  (m2_finseq_1(C, u1_struct_0(A)) &  (v2_funct_1(C) &  (k10_xtuple_0(C)=k3_rlvect_2(A, B) &  (? [D] :  (m2_finseq_1(D, k1_numbers) &  (k3_finseq_1(D)=k3_finseq_1(C) &  (k18_rvsum_1(D)=1 &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) =>  (k1_funct_1(D, E)=k1_funct_1(B, k1_funct_1(C, E)) & r1_xxreal_0(k5_numbers, k1_funct_1(D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_circled1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) =>  ~ ( (v1_circled1(B, A) & k3_rlvect_2(A, B)=k1_xboole_0) ) ) ) ) ) ).
fof(t17_circled1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (v1_circled1(B, A) &  (r1_xxreal_0(k3_funct_2(u1_struct_0(A), k1_numbers, B, C), k5_numbers) & r2_tarski(C, k3_rlvect_2(A, B))) ) ) ) ) ) ) ) ) ).
fof(t18_circled1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) =>  ~ ( (v1_circled1(B, A) & B=k4_rlvect_2(A)) ) ) ) ) ) ).
fof(d5_circled1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (B=k3_circled1(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  (v1_circled1(C, A) & m1_rlvect_2(C, A)) ) ) ) ) ) ) ).
fof(d6_circled1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (C=k4_circled1(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (v1_circled1(D, A) & m2_rlvect_2(D, A, B)) ) ) ) ) ) ) ) ) ).
fof(t19_circled1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  ( (v1_circled1(C, A) & m1_rlvect_2(C, A))  &  (k6_rlvect_2(A, C)=B &  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  =>  (r2_tarski(B, D) =>  (v1_circled1(C, A) & m2_rlvect_2(C, A, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_circled1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  (! [D] :  ( (v1_circled1(D, A) & m1_rlvect_2(D, A))  =>  (? [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))))  &  (r1_tarski(k7_domain_1(u1_struct_0(A), B, C), E) &  ~ ( (v1_circled1(D, A) & m2_rlvect_2(D, A, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_circled1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_circled1(B, A) & m1_rlvect_2(B, A))  =>  (! [C] :  ( (v1_circled1(C, A) & m1_rlvect_2(C, A))  =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ( ~ (r1_xxreal_0(k3_xcmplx_0(D, E), k5_numbers))  => k3_rlvect_2(A, k7_rlvect_2(A, k8_rlvect_2(A, D, B), k8_rlvect_2(A, E, C)))=k4_subset_1(u1_struct_0(A), k3_rlvect_2(A, k8_rlvect_2(A, D, B)), k3_rlvect_2(A, k8_rlvect_2(A, E, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_circled1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_rlvect_2(C, A) =>  ( (v1_circled1(C, A) & k3_rlvect_2(A, C)=k6_domain_1(u1_struct_0(A), B))  =>  (k3_funct_2(u1_struct_0(A), k1_numbers, C, B)=1 & k6_rlvect_2(A, C)=k1_rlvect_1(A, B, k3_funct_2(u1_struct_0(A), k1_numbers, C, B))) ) ) ) ) ) ) ) ).
fof(t23_circled1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_rlvect_2(D, A) =>  ( (v1_circled1(D, A) & k3_rlvect_2(A, D)=k7_domain_1(u1_struct_0(A), B, C))  =>  (B=C |  (k3_real_1(k3_funct_2(u1_struct_0(A), k1_numbers, D, B), k3_funct_2(u1_struct_0(A), k1_numbers, D, C))=1 &  (r1_xxreal_0(k5_numbers, k3_funct_2(u1_struct_0(A), k1_numbers, D, B)) &  (r1_xxreal_0(k5_numbers, k3_funct_2(u1_struct_0(A), k1_numbers, D, C)) & k6_rlvect_2(A, D)=k3_rlvect_1(A, k1_rlvect_1(A, B, k3_funct_2(u1_struct_0(A), k1_numbers, D, B)), k1_rlvect_1(A, C, k3_funct_2(u1_struct_0(A), k1_numbers, D, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_circled1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_rlvect_2(C, A, k6_domain_1(u1_struct_0(A), B)) =>  (v1_circled1(C, A) =>  (k3_funct_2(u1_struct_0(A), k1_numbers, C, B)=1 & k6_rlvect_2(A, C)=k1_rlvect_1(A, B, k3_funct_2(u1_struct_0(A), k1_numbers, C, B))) ) ) ) ) ) ) ) ).
fof(t25_circled1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_rlvect_2(D, A, k7_domain_1(u1_struct_0(A), B, C)) =>  (v1_circled1(D, A) =>  (B=C |  (k3_real_1(k3_funct_2(u1_struct_0(A), k1_numbers, D, B), k3_funct_2(u1_struct_0(A), k1_numbers, D, C))=1 &  (r1_xxreal_0(k5_numbers, k3_funct_2(u1_struct_0(A), k1_numbers, D, B)) &  (r1_xxreal_0(k5_numbers, k3_funct_2(u1_struct_0(A), k1_numbers, D, C)) & k6_rlvect_2(A, D)=k3_rlvect_1(A, k1_rlvect_1(A, B, k3_funct_2(u1_struct_0(A), k1_numbers, D, B)), k1_rlvect_1(A, C, k3_funct_2(u1_struct_0(A), k1_numbers, D, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_circled1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k1_circled1(A, B), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k2_circled1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v3_rltopsp1(k2_circled1(A, B), A) & m1_subset_1(k2_circled1(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ) ).
fof(fc1_circtrm1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_msaterm(A, B)))) ) )  =>  ( ~ (v2_struct_0(k1_circtrm1(A, B, C)))  &  (v1_msualg_1(k1_circtrm1(A, B, C)) & v1_circcomb(k1_circtrm1(A, B, C))) ) ) ) ).
fof(fc2_circtrm1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m3_msaterm(C, A, B)) )  =>  ( ~ (v2_struct_0(k1_circtrm1(A, B, C)))  &  ( ~ (v11_struct_0(k1_circtrm1(A, B, C)))  & v1_msualg_1(k1_circtrm1(A, B, C))) ) ) ) ).
fof(fc3_circtrm1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (m3_msaterm(C, A, B) & m1_subset_1(D, u4_struct_0(k1_circtrm1(A, B, C)))) ) )  => v6_trees_3(k1_msualg_1(k1_circtrm1(A, B, C), D))) ) ).
fof(cc1_circtrm1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_msaterm(A, B)))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_circtrm1(A, B, C))) =>  (v1_relat_1(D) &  (v1_funct_1(D) & v1_finset_1(D)) ) ) ) ) ) ).
fof(cc2_circtrm1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_msaterm(A, B)))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_circtrm1(A, B, C))) => v3_trees_2(D)) ) ) ) ).
fof(cc3_circtrm1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m3_msaterm(C, A, B)) )  =>  (! [D] :  (m1_subset_1(D, u4_struct_0(k1_circtrm1(A, B, C))) =>  (v1_relat_1(D) &  (v1_funct_1(D) & v1_finset_1(D)) ) ) ) ) ) ).
fof(cc4_circtrm1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m3_msaterm(C, A, B)) )  =>  (! [D] :  (m1_subset_1(D, u4_struct_0(k1_circtrm1(A, B, C))) => v3_trees_2(D)) ) ) ) ).
fof(fc4_circtrm1, axiom,  (! [A, B] :  ( (v3_trees_3(A) & v3_trees_3(B))  => v3_trees_3(k2_xboole_0(A, B))) ) ).
fof(fc5_circtrm1, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_msaterm(A, B))))  &  (m1_subset_1(D, u1_struct_0(k1_circtrm1(A, B, C))) &  (v4_msualg_1(E, A) & l3_msualg_1(E, A)) ) ) ) )  =>  ~ (v1_xboole_0(k2_circtrm1(A, B, C, D, E))) ) ) ).
fof(fc6_circtrm1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_msaterm(A, B))))  &  (v4_msualg_1(D, A) & l3_msualg_1(D, A)) ) ) )  =>  (v1_relat_1(k4_circtrm1(A, B, C, D)) &  (v2_relat_1(k4_circtrm1(A, B, C, D)) &  (v4_relat_1(k4_circtrm1(A, B, C, D), u1_struct_0(k1_circtrm1(A, B, C))) &  (v1_funct_1(k4_circtrm1(A, B, C, D)) & v1_partfun1(k4_circtrm1(A, B, C, D), u1_struct_0(k1_circtrm1(A, B, C)))) ) ) ) ) ) ).
fof(fc7_circtrm1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (m3_msaterm(C, A, B) &  (v4_msualg_1(D, A) &  (v4_msafree2(D, A) & l3_msualg_1(D, A)) ) ) ) )  =>  (v3_msualg_1(k6_circtrm1(A, B, C, D), k1_circtrm1(A, B, C)) &  (v4_msualg_1(k6_circtrm1(A, B, C, D), k1_circtrm1(A, B, C)) & v4_msafree2(k6_circtrm1(A, B, C, D), k1_circtrm1(A, B, C))) ) ) ) ).
fof(fc8_circtrm1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) )  & m1_finseq_1(D, k1_msaterm(B, C))) )  =>  (v1_relat_1(k4_trees_4(A, D)) &  (v1_funct_1(k4_trees_4(A, D)) &  (v1_finset_1(k4_trees_4(A, D)) & v3_trees_2(k4_trees_4(A, D))) ) ) ) ) ).
fof(t1_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m4_msaterm(C, A, B) =>  (! [D] :  (m1_dtconstr(D, u1_struct_0(k5_msafree(A, C)), k5_trees_3(u1_struct_0(k5_msafree(A, C))), k1_msaterm(A, C)) =>  (! [E] :  (m1_dtconstr(E, u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C))), k5_trees_3(u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C)))), k1_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C))) =>  (E=D => k7_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C), E)=k7_msaterm(A, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_msaterm(A, B))))  => k1_circtrm1(A, B, C)=g1_msualg_1(k9_trees_9(C), k12_trees_9(C, k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A)))), k13_trees_9(C, k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A)))), k6_funct_3(k9_trees_9(C), k12_trees_9(C, k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A))))))) ) ) ) ) ) ).
fof(t2_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_msaterm(A, B))))  =>  (v11_struct_0(k1_circtrm1(A, B, C)) <=>  (! [D] :  (m2_subset_1(D, k1_msaterm(A, B), C) =>  (v1_zfmisc_1(D) &  ~ (r2_tarski(k1_funct_1(D, k1_xboole_0), k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_msaterm(A, B))))  =>  (m3_msaterm(C, A, B) <=>  ~ (v11_struct_0(k1_circtrm1(A, B, C))) ) ) ) ) ) ) ) ).
fof(t4_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_msaterm(A, B))))  =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(k1_circtrm1(A, B, C))) => m1_dtconstr(D, u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B))) )  &  (! [D] :  (r2_tarski(D, u4_struct_0(k1_circtrm1(A, B, C))) => m2_msaterm(D, A, B)) ) ) ) ) ) ) ) ) ).
fof(t5_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_msaterm(A, B))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_circtrm1(A, B, C))) =>  (r2_tarski(D, u4_struct_0(k1_circtrm1(A, B, C))) <=> m2_msaterm(D, A, B)) ) ) ) ) ) ) ) ) ).
fof(t6_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_msaterm(A, B))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k1_msaterm(A, B))))  =>  (r1_partfun1(u1_msualg_1(k1_circtrm1(A, B, C)), u1_msualg_1(k1_circtrm1(A, B, D))) & r1_partfun1(u2_msualg_1(k1_circtrm1(A, B, C)), u2_msualg_1(k1_circtrm1(A, B, D)))) ) ) ) ) ) ) ) ) ).
fof(t7_circtrm1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v3_trees_3(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v3_trees_3(B))  => k9_trees_9(k2_xboole_0(A, B))=k2_xboole_0(k9_trees_9(A), k9_trees_9(B))) ) ) ) ).
fof(t8_circtrm1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v3_trees_3(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v3_trees_3(B))  =>  (! [C] : k12_trees_9(k2_xboole_0(A, B), C)=k2_xboole_0(k12_trees_9(A, C), k12_trees_9(B, C))) ) ) ) ) ).
fof(t9_circtrm1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v3_trees_3(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v3_trees_3(B))  =>  ( ( (! [C] :  (m1_subset_1(C, A) => v1_finset_1(C)) )  &  (! [C] :  (m1_subset_1(C, B) => v1_finset_1(C)) ) )  =>  (! [C] : k13_trees_9(k2_xboole_0(A, B), C)=k1_funct_4(k13_trees_9(A, C), k13_trees_9(B, C))) ) ) ) ) ) ).
fof(t10_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_msaterm(A, B))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k1_msaterm(A, B))))  => k1_circtrm1(A, B, k4_subset_1(k1_msaterm(A, B), C, D))=k2_circcomb(k1_circtrm1(A, B, C), k1_circtrm1(A, B, D))) ) ) ) ) ) ) ) ).
fof(t11_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_msaterm(A, B))))  =>  (! [D] :  (r2_tarski(D, k2_msafree2(k1_circtrm1(A, B, C))) <=>  (r2_tarski(D, k9_trees_9(C)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (? [F] :  (m1_subset_1(F, k1_funct_1(B, E)) & D=k1_trees_4(k4_tarski(F, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m3_msaterm(C, A, B) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(k1_circtrm1(A, B, C))) => D=k4_trees_4(k1_funct_1(D, k1_xboole_0), k1_msualg_1(k1_circtrm1(A, B, C), D))) ) ) ) ) ) ) ) ).
fof(d2_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_msaterm(A, B))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_circtrm1(A, B, C))) =>  (! [E] :  (l3_msualg_1(E, A) =>  (! [F] :  (F=k2_circtrm1(A, B, C, D, E) <=>  (! [G] :  (m1_dtconstr(G, u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B)) =>  (G=D => F=k1_funct_1(u3_msualg_1(A, E), k7_msaterm(A, B, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_msaterm(A, B))))  =>  (m3_msaterm(C, A, B) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(k1_circtrm1(A, B, C))) =>  (! [E] :  (l3_msualg_1(E, A) =>  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  (F=k3_circtrm1(A, B, C, D, E) <=>  (! [G] :  (m3_msaterm(G, A, B) =>  (G=C =>  (! [H] :  (m1_subset_1(H, u4_struct_0(k1_circtrm1(A, B, G))) =>  (H=D => F=k1_funct_1(u4_msualg_1(A, E), k1_xtuple_0(k1_funct_1(H, k1_xboole_0)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_msaterm(A, B))))  =>  (! [D] :  (l3_msualg_1(D, A) =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(k1_circtrm1(A, B, C))) &  (v1_funct_1(E) & v1_partfun1(E, u1_struct_0(k1_circtrm1(A, B, C)))) ) )  =>  (E=k4_circtrm1(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(k1_circtrm1(A, B, C))) => k1_funct_1(E, F)=k2_circtrm1(A, B, C, F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  (m3_msaterm(D, A, B) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(k1_circtrm1(A, B, D))) =>  (! [F] :  (m1_subset_1(F, u4_struct_0(A)) =>  (k1_funct_1(E, k1_xboole_0)=k4_tarski(F, u1_struct_0(A)) => k3_relat_1(k1_msualg_1(k1_circtrm1(A, B, D), E), k4_circtrm1(A, B, D, C))=k3_relat_1(k1_msualg_1(A, F), u3_msualg_1(A, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_msaterm(A, B))))  =>  (! [D] :  ( (v4_msualg_1(D, A) & l3_msualg_1(D, A))  =>  (! [E] :  (m2_pboole(E, u4_struct_0(k1_circtrm1(A, B, C)), k3_relat_1(u1_msualg_1(k1_circtrm1(A, B, C)), k6_finseq_2(u1_struct_0(k1_circtrm1(A, B, C)), k4_circtrm1(A, B, C, D))), k3_relat_1(u2_msualg_1(k1_circtrm1(A, B, C)), k4_circtrm1(A, B, C, D))) =>  (E=k5_circtrm1(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u4_struct_0(k1_circtrm1(A, B, C))) =>  (r2_tarski(F, u4_struct_0(k1_circtrm1(A, B, C))) => k1_funct_1(E, F)=k3_circtrm1(A, B, C, F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_msaterm(A, B))))  =>  (! [D] :  ( (v4_msualg_1(D, A) & l3_msualg_1(D, A))  => k6_circtrm1(A, B, C, D)=g3_msualg_1(k1_circtrm1(A, B, C), k4_circtrm1(A, B, C, D), k5_circtrm1(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t14_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k1_msaterm(A, B))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k1_circtrm1(A, B, D))) => k1_funct_1(u3_msualg_1(k1_circtrm1(A, B, D), k6_circtrm1(A, B, D, C)), E)=k2_circtrm1(A, B, D, E, C)) ) ) ) ) ) ) ) ) ) ).
fof(t15_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v4_msafree2(C, A) & l3_msualg_1(C, A)) )  =>  (! [D] :  (m3_msaterm(D, A, B) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(k1_circtrm1(A, B, D))) => k5_msualg_1(k1_circtrm1(A, B, D), E, k6_circtrm1(A, B, D, C))=k3_circtrm1(A, B, D, E, C)) ) ) ) ) ) ) ) ) ) ).
fof(t16_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v4_msafree2(C, A) & l3_msualg_1(C, A)) )  =>  (! [D] :  (m3_msaterm(D, A, B) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(k1_circtrm1(A, B, D))) =>  (! [F] :  (m1_subset_1(F, u4_struct_0(A)) =>  (k1_funct_1(E, k1_xboole_0)=k4_tarski(F, u1_struct_0(A)) => r1_funct_2(k3_msualg_1(k1_circtrm1(A, B, D), E, k6_circtrm1(A, B, D, C)), k4_msualg_1(k1_circtrm1(A, B, D), E, k6_circtrm1(A, B, D, C)), k3_msualg_1(A, F, C), k4_msualg_1(A, F, C), k5_msualg_1(k1_circtrm1(A, B, D), E, k6_circtrm1(A, B, D, C)), k5_msualg_1(A, F, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v4_msafree2(C, A) & l3_msualg_1(C, A)) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k1_msaterm(A, B))))  => v4_msafree2(k6_circtrm1(A, B, D, C), k1_circtrm1(A, B, D))) ) ) ) ) ) ) ) ).
fof(t18_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m3_msaterm(C, A, B) =>  (! [D] :  (m3_msaterm(D, A, B) =>  (! [E] :  ( (v4_msualg_1(E, A) & l3_msualg_1(E, A))  => r2_circcomb(k1_circtrm1(A, B, C), k1_circtrm1(A, B, D), k6_circtrm1(A, B, C, E), k6_circtrm1(A, B, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t19_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m3_msaterm(C, A, B) =>  (! [D] :  (m3_msaterm(D, A, B) =>  (! [E] :  ( (v4_msualg_1(E, A) & l3_msualg_1(E, A))  => k6_circtrm1(A, B, k4_subset_1(k1_msaterm(A, B), C, D), E)=k3_circcomb(k1_circtrm1(A, B, C), k1_circtrm1(A, B, D), k6_circtrm1(A, B, C, E), k6_circtrm1(A, B, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(d7_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m4_msaterm(C, A, B) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v3_trees_2(D)) )  =>  (m1_dtconstr(D, u1_struct_0(k5_msafree(A, C)), k5_trees_3(u1_struct_0(k5_msafree(A, C))), k1_msaterm(A, C)) =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), C, u3_msualg_1(A, B)) =>  (! [F] :  (F=k7_circtrm1(A, B, C, D, E) <=>  (? [G] :  (m1_dtconstr(G, u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C))), k5_trees_3(u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C)))), k1_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C))) &  (G=D & F=k9_msaterm(A, B, C, G, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m3_msaterm(C, A, B) =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree2(D, A) & l3_msualg_1(D, A)) )  =>  (! [E] :  (m1_subset_1(E, k4_card_3(u3_msualg_1(k1_circtrm1(A, B, C), k6_circtrm1(A, B, C, D)))) =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), B, u3_msualg_1(A, D)) =>  (m1_circtrm1(F, A, B, C, D, E) <=>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, k1_funct_1(B, G)) =>  (r2_tarski(k1_trees_4(k4_tarski(H, G)), k9_trees_9(C)) => k1_funct_1(k1_funct_1(F, G), H)=k1_funct_1(E, k1_trees_4(k4_tarski(H, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m4_msaterm(C, A, B) =>  (! [D] :  (m3_msaterm(D, A, C) =>  (! [E] :  (m1_subset_1(E, k4_card_3(u3_msualg_1(k1_circtrm1(A, C, D), k6_circtrm1(A, C, D, B)))) =>  (! [F] :  (m1_circtrm1(F, A, C, D, B, E) =>  (! [G] :  (m1_subset_1(G, k4_ordinal1) => m1_circtrm1(F, A, C, D, B, k5_facirc_1(k1_circtrm1(A, C, D), k6_circtrm1(A, C, D, B), E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m4_msaterm(C, A, B) =>  (! [D] :  (m3_msaterm(D, A, C) =>  (! [E] :  (m1_subset_1(E, k4_card_3(u3_msualg_1(k1_circtrm1(A, C, D), k6_circtrm1(A, C, D, B)))) =>  (! [F] :  (m1_circtrm1(F, A, C, D, B, E) =>  (! [G] :  (m1_dtconstr(G, u1_struct_0(k5_msafree(A, C)), k5_trees_3(u1_struct_0(k5_msafree(A, C))), k1_msaterm(A, C)) =>  (r2_tarski(G, k9_trees_9(D)) =>  (r1_facirc_1(k1_circtrm1(A, C, D), k6_circtrm1(A, C, D, B), k5_facirc_1(k1_circtrm1(A, C, D), k6_circtrm1(A, C, D, B), E, k2_xcmplx_0(1, k6_trees_1(k9_xtuple_0(G)))), G) & k1_funct_1(k5_facirc_1(k1_circtrm1(A, C, D), k6_circtrm1(A, C, D, B), E, k2_xcmplx_0(1, k6_trees_1(k9_xtuple_0(G)))), G)=k7_circtrm1(A, B, C, G, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m4_msaterm(C, A, B) =>  (! [D] :  (m3_msaterm(D, A, C) =>  ( (! [E] :  (m1_dtconstr(E, u1_struct_0(k5_msafree(A, C)), k5_trees_3(u1_struct_0(k5_msafree(A, C))), k1_msaterm(A, C)) =>  (! [F] :  (m1_subset_1(F, u4_struct_0(A)) =>  ~ ( (r2_tarski(E, k9_trees_9(D)) &  (k1_funct_1(E, k1_xboole_0)=k4_tarski(F, u1_struct_0(A)) & k1_msualg_1(A, F)=k1_xboole_0) ) ) ) ) ) )  =>  (! [E] :  (m1_subset_1(E, k4_card_3(u3_msualg_1(k1_circtrm1(A, C, D), k6_circtrm1(A, C, D, B)))) =>  (! [F] :  (m1_circtrm1(F, A, C, D, B, E) =>  (! [G] :  (m1_dtconstr(G, u1_struct_0(k5_msafree(A, C)), k5_trees_3(u1_struct_0(k5_msafree(A, C))), k1_msaterm(A, C)) =>  (r2_tarski(G, k9_trees_9(D)) =>  (r1_facirc_1(k1_circtrm1(A, C, D), k6_circtrm1(A, C, D, B), k5_facirc_1(k1_circtrm1(A, C, D), k6_circtrm1(A, C, D, B), E, k6_trees_1(k9_xtuple_0(G))), G) & k1_funct_1(k5_facirc_1(k1_circtrm1(A, C, D), k6_circtrm1(A, C, D, B), E, k6_trees_1(k9_xtuple_0(G))), G)=k7_circtrm1(A, B, C, G, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r1_circtrm1(A, B, C, D) <=>  (v2_funct_1(C) &  (v2_funct_1(D) &  (r3_pua2mss1(A, B, C, D) & r3_pua2mss1(B, A, k2_funct_1(C), k2_funct_1(D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r1_circtrm1(A, B, C, D) =>  (u1_struct_0(B)=k7_relat_1(C, u1_struct_0(A)) & u4_struct_0(B)=k7_relat_1(D, u4_struct_0(A))) ) ) ) ) ) ) ) ) ) ).
fof(t24_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r1_circtrm1(A, B, C, D) =>  (k10_xtuple_0(C)=u1_struct_0(B) & k10_xtuple_0(D)=u4_struct_0(B)) ) ) ) ) ) ) ) ) ) ).
fof(t25_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  => r1_circtrm1(A, A, k6_partfun1(u1_struct_0(A)), k6_partfun1(u4_struct_0(A)))) ) ).
fof(t26_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r1_circtrm1(A, B, C, D) => r1_circtrm1(B, A, k2_funct_1(C), k2_funct_1(D))) ) ) ) ) ) ) ) ) ).
fof(t27_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_msualg_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  (! [G] :  ( (v1_relat_1(G) & v1_funct_1(G))  =>  ( (r1_circtrm1(A, B, D, E) & r1_circtrm1(B, C, F, G))  => r1_circtrm1(A, C, k3_relat_1(D, F), k3_relat_1(E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r1_circtrm1(A, B, C, D) =>  (k7_relat_1(C, k2_msafree2(A))=k2_msafree2(B) & k7_relat_1(C, k3_msafree2(A))=k3_msafree2(B)) ) ) ) ) ) ) ) ) ) ).
fof(d10_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (r2_circtrm1(A, B) <=>  (? [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v2_funct_1(C)) )  &  (? [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v2_funct_1(D)) )  & r1_circtrm1(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t29_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_msualg_1(C))  =>  ( (r2_circtrm1(A, B) & r2_circtrm1(B, C))  => r2_circtrm1(A, C)) ) ) ) ) ) ) ).
fof(d11_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r3_circtrm1(A, B, C) <=> r1_tarski(k7_relat_1(C, k2_msafree2(A)), k2_msafree2(B))) ) ) ) ) ) ) ).
fof(t30_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r3_pua2mss1(A, B, C, D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => m1_subset_1(k1_funct_1(C, E), u1_struct_0(B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r3_pua2mss1(A, B, C, D) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) => m1_subset_1(k1_funct_1(D, E), u4_struct_0(B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r3_pua2mss1(A, B, C, D) => r1_tarski(k7_relat_1(C, k3_msafree2(A)), k3_msafree2(B))) ) ) ) ) ) ) ) ) ).
fof(t33_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r3_pua2mss1(A, B, C, D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(E, k3_msafree2(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (F=k1_funct_1(C, E) => k4_msafree2(B, F)=k1_funct_1(D, k4_msafree2(A, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v4_msualg_1(E, A) & l3_msualg_1(E, A))  =>  (! [F] :  ( (v4_msualg_1(F, B) & l3_msualg_1(F, B))  =>  (r4_circtrm1(A, B, C, D, E, F) <=>  (v2_funct_1(C) &  (v2_funct_1(D) &  (r3_pua2mss1(A, B, C, D) &  (u3_msualg_1(A, E)=k3_relat_1(C, u3_msualg_1(B, F)) & u4_msualg_1(A, E)=k3_relat_1(D, u4_msualg_1(B, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  => r4_circtrm1(A, A, k6_partfun1(u1_struct_0(A)), k6_partfun1(u4_struct_0(A)), B, B)) ) ) ) ).
fof(t35_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_msualg_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  (! [G] :  ( (v1_relat_1(G) & v1_funct_1(G))  =>  (! [H] :  ( (v4_msualg_1(H, A) & l3_msualg_1(H, A))  =>  (! [I] :  ( (v4_msualg_1(I, B) & l3_msualg_1(I, B))  =>  (! [J] :  ( (v4_msualg_1(J, C) & l3_msualg_1(J, C))  =>  ( (r4_circtrm1(A, B, D, E, H, I) & r4_circtrm1(B, C, F, G, I, J))  => r4_circtrm1(A, C, k3_relat_1(D, F), k3_relat_1(E, G), H, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v4_msualg_1(E, A) & l3_msualg_1(E, A))  =>  (! [F] :  ( (v4_msualg_1(F, B) & l3_msualg_1(F, B))  =>  (r5_circtrm1(A, B, C, D, E, F) <=>  (r4_circtrm1(A, B, C, D, E, F) & r4_circtrm1(B, A, k2_funct_1(C), k2_funct_1(D), F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v4_msualg_1(E, A) & l3_msualg_1(E, A))  =>  (! [F] :  ( (v4_msualg_1(F, B) & l3_msualg_1(F, B))  =>  (r5_circtrm1(A, B, C, D, E, F) => r1_circtrm1(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v4_msualg_1(E, A) & l3_msualg_1(E, A))  =>  (! [F] :  ( (v4_msualg_1(F, B) & l3_msualg_1(F, B))  =>  (r5_circtrm1(A, B, C, D, E, F) <=>  (r1_circtrm1(A, B, C, D) &  (u3_msualg_1(A, E)=k3_relat_1(C, u3_msualg_1(B, F)) & u4_msualg_1(A, E)=k3_relat_1(D, u4_msualg_1(B, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  => r5_circtrm1(A, A, k6_partfun1(u1_struct_0(A)), k6_partfun1(u4_struct_0(A)), B, B)) ) ) ) ).
fof(t39_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v4_msualg_1(E, A) & l3_msualg_1(E, A))  =>  (! [F] :  ( (v4_msualg_1(F, B) & l3_msualg_1(F, B))  =>  (r5_circtrm1(A, B, C, D, E, F) => r5_circtrm1(B, A, k2_funct_1(C), k2_funct_1(D), F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_msualg_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  (! [G] :  ( (v1_relat_1(G) & v1_funct_1(G))  =>  (! [H] :  ( (v4_msualg_1(H, A) & l3_msualg_1(H, A))  =>  (! [I] :  ( (v4_msualg_1(I, B) & l3_msualg_1(I, B))  =>  (! [J] :  ( (v4_msualg_1(J, C) & l3_msualg_1(J, C))  =>  ( (r5_circtrm1(A, B, D, E, H, I) & r5_circtrm1(B, C, F, G, I, J))  => r5_circtrm1(A, C, k3_relat_1(D, F), k3_relat_1(E, G), H, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  ( (v4_msualg_1(D, B) & l3_msualg_1(D, B))  =>  (r6_circtrm1(A, B, C, D) <=>  (? [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  &  (? [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  & r5_circtrm1(A, B, E, F, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v4_msualg_1(E, A) &  (v4_msafree2(E, A) & l3_msualg_1(E, A)) )  =>  (! [F] :  ( (v4_msualg_1(F, B) &  (v4_msafree2(F, B) & l3_msualg_1(F, B)) )  =>  (r4_circtrm1(A, B, C, D, E, F) =>  (k9_xtuple_0(C)=u1_struct_0(A) &  (r1_tarski(k10_xtuple_0(C), u1_struct_0(B)) &  (k9_xtuple_0(D)=u4_struct_0(A) & r1_tarski(k10_xtuple_0(D), u4_struct_0(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v4_msualg_1(E, A) &  (v4_msafree2(E, A) & l3_msualg_1(E, A)) )  =>  (! [F] :  ( (v4_msualg_1(F, B) &  (v4_msafree2(F, B) & l3_msualg_1(F, B)) )  =>  (r4_circtrm1(A, B, C, D, E, F) =>  (! [G] :  (m1_subset_1(G, u4_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u4_struct_0(B)) =>  (H=k1_funct_1(D, G) => r1_funct_2(k3_msualg_1(B, H, F), k4_msualg_1(B, H, F), k3_msualg_1(A, G, E), k4_msualg_1(A, G, E), k5_msualg_1(B, H, F), k5_msualg_1(A, G, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v4_msualg_1(E, A) &  (v4_msafree2(E, A) & l3_msualg_1(E, A)) )  =>  (! [F] :  ( (v4_msualg_1(F, B) &  (v4_msafree2(F, B) & l3_msualg_1(F, B)) )  =>  (r4_circtrm1(A, B, C, D, E, F) =>  (! [G] :  (m1_subset_1(G, u4_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u4_struct_0(B)) =>  (H=k1_funct_1(D, G) =>  (! [I] :  (m1_subset_1(I, k4_card_3(u3_msualg_1(A, E))) =>  (! [J] :  (m1_subset_1(J, k4_card_3(u3_msualg_1(B, F))) =>  (I=k3_relat_1(C, J) => k3_circuit1(B, F, J, H)=k3_circuit1(A, E, I, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v4_msualg_1(E, A) &  (v4_msafree2(E, A) & l3_msualg_1(E, A)) )  =>  (! [F] :  ( (v4_msualg_1(F, B) &  (v4_msafree2(F, B) & l3_msualg_1(F, B)) )  =>  (r4_circtrm1(A, B, C, D, E, F) =>  (! [G] :  (m1_subset_1(G, k4_card_3(u3_msualg_1(B, F))) => m1_subset_1(k3_relat_1(C, G), k4_card_3(u3_msualg_1(A, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v4_msualg_1(E, A) &  (v4_msafree2(E, A) & l3_msualg_1(E, A)) )  =>  (! [F] :  ( (v4_msualg_1(F, B) &  (v4_msafree2(F, B) & l3_msualg_1(F, B)) )  =>  (r4_circtrm1(A, B, C, D, E, F) =>  (! [G] :  (m1_subset_1(G, k4_card_3(u3_msualg_1(B, F))) =>  (! [H] :  (m1_subset_1(H, k4_card_3(u3_msualg_1(A, E))) =>  ( (H=k3_relat_1(C, G) &  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (r2_tarski(I, k2_msafree2(A)) => r1_facirc_1(B, F, G, k1_funct_1(C, I))) ) ) )  => k6_circuit2(A, E, H)=k3_relat_1(C, k6_circuit2(B, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v4_msualg_1(E, A) &  (v4_msafree2(E, A) & l3_msualg_1(E, A)) )  =>  (! [F] :  ( (v4_msualg_1(F, B) &  (v4_msafree2(F, B) & l3_msualg_1(F, B)) )  =>  ( (r4_circtrm1(A, B, C, D, E, F) & r3_circtrm1(A, B, C))  =>  (! [G] :  (m1_subset_1(G, k4_card_3(u3_msualg_1(B, F))) =>  (! [H] :  (m1_subset_1(H, k4_card_3(u3_msualg_1(A, E))) =>  (H=k3_relat_1(C, G) => k6_circuit2(A, E, H)=k3_relat_1(C, k6_circuit2(B, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v4_msualg_1(E, A) &  (v4_msafree2(E, A) & l3_msualg_1(E, A)) )  =>  (! [F] :  ( (v4_msualg_1(F, B) &  (v4_msafree2(F, B) & l3_msualg_1(F, B)) )  =>  ( (r4_circtrm1(A, B, C, D, E, F) & r3_circtrm1(A, B, C))  =>  (! [G] :  (m1_subset_1(G, k4_card_3(u3_msualg_1(B, F))) =>  (! [H] :  (m1_subset_1(H, k4_card_3(u3_msualg_1(A, E))) =>  (H=k3_relat_1(C, G) =>  (! [I] :  (v7_ordinal1(I) => k5_facirc_1(A, E, H, I)=k3_relat_1(C, k5_facirc_1(B, F, G, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v4_msualg_1(E, A) &  (v4_msafree2(E, A) & l3_msualg_1(E, A)) )  =>  (! [F] :  ( (v4_msualg_1(F, B) &  (v4_msafree2(F, B) & l3_msualg_1(F, B)) )  =>  ( (r4_circtrm1(A, B, C, D, E, F) & r3_circtrm1(A, B, C))  =>  (! [G] :  (m1_subset_1(G, k4_card_3(u3_msualg_1(B, F))) =>  (! [H] :  (m1_subset_1(H, k4_card_3(u3_msualg_1(A, E))) =>  ( (H=k3_relat_1(C, G) & v1_circuit2(G, B, F))  => v1_circuit2(H, A, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v4_msualg_1(E, A) &  (v4_msafree2(E, A) & l3_msualg_1(E, A)) )  =>  (! [F] :  ( (v4_msualg_1(F, B) &  (v4_msafree2(F, B) & l3_msualg_1(F, B)) )  =>  ( (r4_circtrm1(A, B, C, D, E, F) & r3_circtrm1(A, B, C))  =>  (! [G] :  (m1_subset_1(G, k4_card_3(u3_msualg_1(B, F))) =>  (! [H] :  (m1_subset_1(H, k4_card_3(u3_msualg_1(A, E))) =>  (H=k3_relat_1(C, G) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (r1_facirc_1(A, E, H, I) <=> r1_facirc_1(B, F, G, k1_funct_1(C, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v4_msualg_1(E, A) &  (v4_msafree2(E, A) & l3_msualg_1(E, A)) )  =>  (! [F] :  ( (v4_msualg_1(F, B) &  (v4_msafree2(F, B) & l3_msualg_1(F, B)) )  =>  (r5_circtrm1(A, B, C, D, E, F) =>  (! [G] :  (m1_subset_1(G, k4_card_3(u3_msualg_1(B, F))) => m1_subset_1(k3_relat_1(C, G), k4_card_3(u3_msualg_1(A, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v4_msualg_1(E, A) &  (v4_msafree2(E, A) & l3_msualg_1(E, A)) )  =>  (! [F] :  ( (v4_msualg_1(F, B) &  (v4_msafree2(F, B) & l3_msualg_1(F, B)) )  =>  (r5_circtrm1(A, B, C, D, E, F) =>  (! [G] :  (m1_subset_1(G, k4_card_3(u3_msualg_1(A, E))) =>  (! [H] :  (m1_subset_1(H, k4_card_3(u3_msualg_1(B, F))) =>  (G=k3_relat_1(C, H) <=> H=k3_relat_1(k2_funct_1(C), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v4_msualg_1(E, A) &  (v4_msafree2(E, A) & l3_msualg_1(E, A)) )  =>  (! [F] :  ( (v4_msualg_1(F, B) &  (v4_msafree2(F, B) & l3_msualg_1(F, B)) )  =>  (r5_circtrm1(A, B, C, D, E, F) =>  (k7_relat_1(C, k2_msafree2(A))=k2_msafree2(B) & k7_relat_1(C, k3_msafree2(A))=k3_msafree2(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v4_msualg_1(E, A) &  (v4_msafree2(E, A) & l3_msualg_1(E, A)) )  =>  (! [F] :  ( (v4_msualg_1(F, B) &  (v4_msafree2(F, B) & l3_msualg_1(F, B)) )  =>  (r5_circtrm1(A, B, C, D, E, F) => r3_circtrm1(A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v4_msualg_1(E, A) &  (v4_msafree2(E, A) & l3_msualg_1(E, A)) )  =>  (! [F] :  ( (v4_msualg_1(F, B) &  (v4_msafree2(F, B) & l3_msualg_1(F, B)) )  =>  (r5_circtrm1(A, B, C, D, E, F) =>  (! [G] :  (m1_subset_1(G, k4_card_3(u3_msualg_1(A, E))) =>  (! [H] :  (m1_subset_1(H, k4_card_3(u3_msualg_1(B, F))) =>  (G=k3_relat_1(C, H) => k6_circuit2(A, E, G)=k3_relat_1(C, k6_circuit2(B, F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v4_msualg_1(E, A) &  (v4_msafree2(E, A) & l3_msualg_1(E, A)) )  =>  (! [F] :  ( (v4_msualg_1(F, B) &  (v4_msafree2(F, B) & l3_msualg_1(F, B)) )  =>  (r5_circtrm1(A, B, C, D, E, F) =>  (! [G] :  (m1_subset_1(G, k4_card_3(u3_msualg_1(A, E))) =>  (! [H] :  (m1_subset_1(H, k4_card_3(u3_msualg_1(B, F))) =>  (G=k3_relat_1(C, H) =>  (! [I] :  (m1_subset_1(I, k4_ordinal1) => k5_facirc_1(A, E, G, I)=k3_relat_1(C, k5_facirc_1(B, F, H, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v4_msualg_1(E, A) &  (v4_msafree2(E, A) & l3_msualg_1(E, A)) )  =>  (! [F] :  ( (v4_msualg_1(F, B) &  (v4_msafree2(F, B) & l3_msualg_1(F, B)) )  =>  (r5_circtrm1(A, B, C, D, E, F) =>  (! [G] :  (m1_subset_1(G, k4_card_3(u3_msualg_1(A, E))) =>  (! [H] :  (m1_subset_1(H, k4_card_3(u3_msualg_1(B, F))) =>  (G=k3_relat_1(C, H) =>  (v1_circuit2(G, A, E) <=> v1_circuit2(H, B, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v4_msualg_1(E, A) &  (v4_msafree2(E, A) & l3_msualg_1(E, A)) )  =>  (! [F] :  ( (v4_msualg_1(F, B) &  (v4_msafree2(F, B) & l3_msualg_1(F, B)) )  =>  (r5_circtrm1(A, B, C, D, E, F) =>  (! [G] :  (m1_subset_1(G, k4_card_3(u3_msualg_1(A, E))) =>  (! [H] :  (m1_subset_1(H, k4_card_3(u3_msualg_1(B, F))) =>  (G=k3_relat_1(C, H) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (r1_facirc_1(A, E, G, I) <=> r1_facirc_1(B, F, H, k1_funct_1(C, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k1_msaterm(A, C))))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_msafree2(E) & l1_msualg_1(E)) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v4_msafree2(F, E) & l3_msualg_1(F, E)) )  =>  (r7_circtrm1(A, B, C, D, E, F) <=>  (? [G] :  ( (v1_relat_1(G) & v1_funct_1(G))  &  (? [H] :  ( (v1_relat_1(H) & v1_funct_1(H))  &  (r4_circtrm1(k1_circtrm1(A, C, D), E, G, H, k6_circtrm1(A, C, D, B), F) & r3_circtrm1(k1_circtrm1(A, C, D), E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k1_msaterm(A, C))))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_msafree2(E) & l1_msualg_1(E)) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v4_msafree2(F, E) & l3_msualg_1(F, E)) )  =>  (r8_circtrm1(A, B, C, D, E, F) <=> r6_circtrm1(E, k1_circtrm1(A, C, D), F, k6_circtrm1(A, C, D, B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k1_msaterm(A, B))))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_msafree2(E) & l1_msualg_1(E)) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v4_msafree2(F, E) & l3_msualg_1(F, E)) )  =>  (r7_circtrm1(A, C, B, D, E, F) =>  (! [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) & v2_funct_1(G)) )  =>  (m2_circtrm1(G, A, B, C, D, E, F) <=>  (r3_circtrm1(k1_circtrm1(A, B, D), E, G) &  (? [H] :  ( (v1_relat_1(H) & v1_funct_1(H))  & r4_circtrm1(k1_circtrm1(A, B, D), E, G, H, k6_circtrm1(A, B, D, C), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k1_msaterm(A, B))))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_msafree2(E) & l1_msualg_1(E)) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v4_msafree2(F, E) & l3_msualg_1(F, E)) )  =>  (r7_circtrm1(A, C, B, D, E, F) =>  (! [G] :  (m2_circtrm1(G, A, B, C, D, E, F) =>  (! [H] :  ( (v1_relat_1(H) &  (v1_funct_1(H) & v2_funct_1(H)) )  =>  (m3_circtrm1(H, A, B, C, D, E, F, G) <=> r4_circtrm1(k1_circtrm1(A, B, D), E, G, H, k6_circtrm1(A, B, D, C), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m4_msaterm(C, A, B) =>  (! [D] :  (m3_msaterm(D, A, C) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_msafree2(E) & l1_msualg_1(E)) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v4_msafree2(F, E) & l3_msualg_1(F, E)) )  =>  (r8_circtrm1(A, B, C, D, E, F) => r7_circtrm1(A, B, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m4_msaterm(C, A, B) =>  (! [D] :  (m3_msaterm(D, A, C) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_msafree2(E) & l1_msualg_1(E)) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v4_msafree2(F, E) & l3_msualg_1(F, E)) )  =>  (r7_circtrm1(A, B, C, D, E, F) =>  (! [G] :  (m2_circtrm1(G, A, C, B, D, E, F) =>  (! [H] :  (m1_dtconstr(H, u1_struct_0(k5_msafree(A, C)), k5_trees_3(u1_struct_0(k5_msafree(A, C))), k1_msaterm(A, C)) =>  (r2_tarski(H, k9_trees_9(D)) =>  (! [I] :  (m1_subset_1(I, k4_card_3(u3_msualg_1(E, F))) =>  (r1_facirc_1(E, F, k5_facirc_1(E, F, I, k2_xcmplx_0(1, k6_trees_1(k9_xtuple_0(H)))), k1_funct_1(G, H)) &  (! [J] :  (m1_subset_1(J, k4_card_3(u3_msualg_1(k1_circtrm1(A, C, D), k6_circtrm1(A, C, D, B)))) =>  (J=k3_relat_1(G, I) =>  (! [K] :  (m1_circtrm1(K, A, C, D, B, J) => k1_funct_1(k5_facirc_1(E, F, I, k2_xcmplx_0(1, k6_trees_1(k9_xtuple_0(H)))), k1_funct_1(G, H))=k7_circtrm1(A, B, C, H, K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m4_msaterm(C, A, B) =>  (! [D] :  (m3_msaterm(D, A, C) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_msafree2(E) & l1_msualg_1(E)) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v4_msafree2(F, E) & l3_msualg_1(F, E)) )  =>  (r7_circtrm1(A, B, C, D, E, F) =>  (! [G] :  (m1_dtconstr(G, u1_struct_0(k5_msafree(A, C)), k5_trees_3(u1_struct_0(k5_msafree(A, C))), k1_msaterm(A, C)) =>  ~ ( (r2_tarski(G, k9_trees_9(D)) &  (! [H] :  (m1_subset_1(H, u1_struct_0(E)) =>  ~ ( (! [I] :  (m1_subset_1(I, k4_card_3(u3_msualg_1(E, F))) =>  (r1_facirc_1(E, F, k5_facirc_1(E, F, I, k2_xcmplx_0(1, k6_trees_1(k9_xtuple_0(G)))), H) &  (? [J] :  (m2_circtrm1(J, A, C, B, D, E, F) &  (! [K] :  (m1_subset_1(K, k4_card_3(u3_msualg_1(k1_circtrm1(A, C, D), k6_circtrm1(A, C, D, B)))) =>  (K=k3_relat_1(J, I) =>  (! [L] :  (m1_circtrm1(L, A, C, D, B, K) => k1_funct_1(k5_facirc_1(E, F, I, k2_xcmplx_0(1, k6_trees_1(k9_xtuple_0(G)))), H)=k7_circtrm1(A, B, C, G, L)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m4_msaterm(C, A, B) =>  (! [D] :  (m3_msaterm(D, A, C) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_msafree2(E) & l1_msualg_1(E)) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v4_msafree2(F, E) & l3_msualg_1(F, E)) )  =>  (r8_circtrm1(A, B, C, D, E, F) =>  (! [G] :  (m2_circtrm1(G, A, C, B, D, E, F) =>  (! [H] :  (m1_subset_1(H, k4_card_3(u3_msualg_1(E, F))) =>  (! [I] :  (m1_dtconstr(I, u1_struct_0(k5_msafree(A, C)), k5_trees_3(u1_struct_0(k5_msafree(A, C))), k1_msaterm(A, C)) =>  (r2_tarski(I, k9_trees_9(D)) =>  (r1_facirc_1(E, F, k5_facirc_1(E, F, H, k2_xcmplx_0(1, k6_trees_1(k9_xtuple_0(I)))), k1_funct_1(G, I)) &  (! [J] :  (m1_subset_1(J, k4_card_3(u3_msualg_1(k1_circtrm1(A, C, D), k6_circtrm1(A, C, D, B)))) =>  (J=k3_relat_1(G, H) =>  (! [K] :  (m1_circtrm1(K, A, C, D, B, J) => k1_funct_1(k5_facirc_1(E, F, H, k2_xcmplx_0(1, k6_trees_1(k9_xtuple_0(I)))), k1_funct_1(G, I))=k7_circtrm1(A, B, C, I, K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_circtrm1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m4_msaterm(C, A, B) =>  (! [D] :  (m3_msaterm(D, A, C) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_msafree2(E) & l1_msualg_1(E)) ) )  =>  (! [F] :  ( (v4_msualg_1(F, E) &  (v4_msafree2(F, E) & l3_msualg_1(F, E)) )  =>  (r8_circtrm1(A, B, C, D, E, F) =>  (! [G] :  (m1_dtconstr(G, u1_struct_0(k5_msafree(A, C)), k5_trees_3(u1_struct_0(k5_msafree(A, C))), k1_msaterm(A, C)) =>  ~ ( (r2_tarski(G, k9_trees_9(D)) &  (! [H] :  (m1_subset_1(H, u1_struct_0(E)) =>  ~ ( (! [I] :  (m1_subset_1(I, k4_card_3(u3_msualg_1(E, F))) =>  (r1_facirc_1(E, F, k5_facirc_1(E, F, I, k2_xcmplx_0(1, k6_trees_1(k9_xtuple_0(G)))), H) &  (? [J] :  (m2_circtrm1(J, A, C, B, D, E, F) &  (! [K] :  (m1_subset_1(K, k4_card_3(u3_msualg_1(k1_circtrm1(A, C, D), k6_circtrm1(A, C, D, B)))) =>  (K=k3_relat_1(J, I) =>  (! [L] :  (m1_circtrm1(L, A, C, D, B, K) => k1_funct_1(k5_facirc_1(E, F, I, k2_xcmplx_0(1, k6_trees_1(k9_xtuple_0(G)))), H)=k7_circtrm1(A, B, C, G, L)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_circtrm1, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s1_circtrm1) =>  (! [B] :  (m1_subset_1(B, k1_funct_1(f2_s1_circtrm1, A)) =>  (? [C] :  (m1_subset_1(C, k1_funct_1(f3_s1_circtrm1, A)) & p1_s1_circtrm1(A, B, C)) ) ) ) ) )  =>  (? [A] :  (m2_pboole(A, f1_s1_circtrm1, f2_s1_circtrm1, f3_s1_circtrm1) &  (! [B] :  (m1_subset_1(B, f1_s1_circtrm1) =>  (! [C] :  (m1_subset_1(C, k1_funct_1(f2_s1_circtrm1, B)) => p1_s1_circtrm1(B, C, k1_funct_1(k1_funct_1(A, B), C))) ) ) ) ) ) ) ).
fof(dt_k1_circtrm1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_msaterm(A, B)))) ) )  =>  ( ~ (v2_struct_0(k1_circtrm1(A, B, C)))  &  (v1_msualg_1(k1_circtrm1(A, B, C)) & l1_msualg_1(k1_circtrm1(A, B, C))) ) ) ) ).
fof(dt_k3_circtrm1, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_msaterm(A, B))))  &  (m1_subset_1(D, u4_struct_0(k1_circtrm1(A, B, C))) & l3_msualg_1(E, A)) ) ) )  =>  (v1_relat_1(k3_circtrm1(A, B, C, D, E)) & v1_funct_1(k3_circtrm1(A, B, C, D, E))) ) ) ).
fof(dt_f1_s1_circtrm1, axiom,  ~ (v1_xboole_0(f1_s1_circtrm1)) ).
fof(dt_f2_s1_circtrm1, axiom,  (v1_relat_1(f2_s1_circtrm1) &  (v2_relat_1(f2_s1_circtrm1) &  (v4_relat_1(f2_s1_circtrm1, f1_s1_circtrm1) &  (v1_funct_1(f2_s1_circtrm1) & v1_partfun1(f2_s1_circtrm1, f1_s1_circtrm1)) ) ) ) ).
fof(dt_f3_s1_circtrm1, axiom,  (v1_relat_1(f3_s1_circtrm1) &  (v2_relat_1(f3_s1_circtrm1) &  (v4_relat_1(f3_s1_circtrm1, f1_s1_circtrm1) &  (v1_funct_1(f3_s1_circtrm1) & v1_partfun1(f3_s1_circtrm1, f1_s1_circtrm1)) ) ) ) ).
fof(dt_k4_circtrm1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_msaterm(A, B))))  & l3_msualg_1(D, A)) ) )  =>  (v1_relat_1(k4_circtrm1(A, B, C, D)) &  (v4_relat_1(k4_circtrm1(A, B, C, D), u1_struct_0(k1_circtrm1(A, B, C))) &  (v1_funct_1(k4_circtrm1(A, B, C, D)) & v1_partfun1(k4_circtrm1(A, B, C, D), u1_struct_0(k1_circtrm1(A, B, C)))) ) ) ) ) ).
fof(dt_k5_circtrm1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_msaterm(A, B))))  &  (v4_msualg_1(D, A) & l3_msualg_1(D, A)) ) ) )  => m2_pboole(k5_circtrm1(A, B, C, D), u4_struct_0(k1_circtrm1(A, B, C)), k3_relat_1(u1_msualg_1(k1_circtrm1(A, B, C)), k6_finseq_2(u1_struct_0(k1_circtrm1(A, B, C)), k4_circtrm1(A, B, C, D))), k3_relat_1(u2_msualg_1(k1_circtrm1(A, B, C)), k4_circtrm1(A, B, C, D)))) ) ).
fof(dt_k6_circtrm1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_msaterm(A, B))))  &  (v4_msualg_1(D, A) & l3_msualg_1(D, A)) ) ) )  =>  (v3_msualg_1(k6_circtrm1(A, B, C, D), k1_circtrm1(A, B, C)) &  (v4_msualg_1(k6_circtrm1(A, B, C, D), k1_circtrm1(A, B, C)) & l3_msualg_1(k6_circtrm1(A, B, C, D), k1_circtrm1(A, B, C))) ) ) ) ).
fof(dt_m1_circtrm1, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (m3_msaterm(C, A, B) &  ( (v4_msualg_1(D, A) &  (v4_msafree2(D, A) & l3_msualg_1(D, A)) )  & m1_subset_1(E, k4_card_3(u3_msualg_1(k1_circtrm1(A, B, C), k6_circtrm1(A, B, C, D))))) ) ) )  =>  (! [F] :  (m1_circtrm1(F, A, B, C, D, E) => m2_pboole(F, u1_struct_0(A), B, u3_msualg_1(A, D))) ) ) ) ).
fof(existence_m1_circtrm1, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (m3_msaterm(C, A, B) &  ( (v4_msualg_1(D, A) &  (v4_msafree2(D, A) & l3_msualg_1(D, A)) )  & m1_subset_1(E, k4_card_3(u3_msualg_1(k1_circtrm1(A, B, C), k6_circtrm1(A, B, C, D))))) ) ) )  =>  (? [F] : m1_circtrm1(F, A, B, C, D, E)) ) ) ).
fof(symmetry_r2_circtrm1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  &  ( ~ (v2_struct_0(B))  & l1_msualg_1(B)) )  =>  (r2_circtrm1(A, B) => r2_circtrm1(B, A)) ) ) ).
fof(reflexivity_r2_circtrm1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  &  ( ~ (v2_struct_0(B))  & l1_msualg_1(B)) )  => r2_circtrm1(A, A)) ) ).
fof(dt_m2_circtrm1, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  &  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k1_msaterm(A, B))))  &  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_msafree2(E) & l1_msualg_1(E)) ) )  &  (v4_msualg_1(F, E) &  (v4_msafree2(F, E) & l3_msualg_1(F, E)) ) ) ) ) ) )  =>  (! [G] :  (m2_circtrm1(G, A, B, C, D, E, F) =>  (v1_relat_1(G) &  (v1_funct_1(G) & v2_funct_1(G)) ) ) ) ) ) ).
fof(existence_m2_circtrm1, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  &  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k1_msaterm(A, B))))  &  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_msafree2(E) & l1_msualg_1(E)) ) )  &  (v4_msualg_1(F, E) &  (v4_msafree2(F, E) & l3_msualg_1(F, E)) ) ) ) ) ) )  =>  (? [G] : m2_circtrm1(G, A, B, C, D, E, F)) ) ) ).
fof(dt_m3_circtrm1, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  &  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k1_msaterm(A, B))))  &  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_msafree2(E) & l1_msualg_1(E)) ) )  &  ( (v4_msualg_1(F, E) &  (v4_msafree2(F, E) & l3_msualg_1(F, E)) )  & m2_circtrm1(G, A, B, C, D, E, F)) ) ) ) ) )  =>  (! [H] :  (m3_circtrm1(H, A, B, C, D, E, F, G) =>  (v1_relat_1(H) &  (v1_funct_1(H) & v2_funct_1(H)) ) ) ) ) ) ).
fof(existence_m3_circtrm1, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  &  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k1_msaterm(A, B))))  &  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_msafree2(E) & l1_msualg_1(E)) ) )  &  ( (v4_msualg_1(F, E) &  (v4_msafree2(F, E) & l3_msualg_1(F, E)) )  & m2_circtrm1(G, A, B, C, D, E, F)) ) ) ) ) )  =>  (? [H] : m3_circtrm1(H, A, B, C, D, E, F, G)) ) ) ).
fof(cc1_circuit1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  &  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  & m1_subset_1(C, u1_struct_0(A))) )  =>  (! [D] :  (m1_subset_1(D, k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), C)) =>  (v1_relat_1(D) &  (v1_funct_1(D) &  ( ~ (v1_xboole_0(D))  & v1_finset_1(D)) ) ) ) ) ) ) ).
fof(cc2_circuit1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  &  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  & m1_subset_1(C, u1_struct_0(A))) )  =>  (! [D] :  (m1_subset_1(D, k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), C)) => v3_trees_2(D)) ) ) ) ).
fof(fc1_circuit1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v5_msafree2(A) & l1_msualg_1(A)) ) )  &  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  & m1_subset_1(C, u1_struct_0(A))) )  => v1_finset_1(k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), C))) ) ).
fof(d1_circuit1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k1_msafree2(A)) &  (v1_funct_1(C) & v1_partfun1(C, k1_msafree2(A))) ) )  =>  (C=k1_circuit1(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, k1_relset_1(k1_msafree2(A), C)) => r2_tarski(k1_funct_1(C, D), k1_msualg_2(A, B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t1_circuit1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_funct_1(u3_msualg_1(A, B), C)) =>  ( (r2_tarski(C, k1_msafree2(A)) & r2_tarski(D, k1_msualg_2(A, B, C)))  => k1_funct_1(k1_circuit1(A, B), C)=D) ) ) ) ) ) ) ) ) ).
fof(t2_circuit1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m2_pboole(C, k2_msafree2(A), k7_funcop_1(k2_msafree2(A), k4_ordinal1), k5_relat_1(u3_msualg_1(A, B), k2_msafree2(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (v1_msafree2(A) => m1_msafree2(k1_funct_1(k9_funct_6(C), D), A, B)) ) ) ) ) ) ) ) ) ).
fof(d2_circuit1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (v1_msafree2(A) =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m2_pboole(C, k2_msafree2(A), k7_funcop_1(k2_msafree2(A), k4_ordinal1), k5_relat_1(u3_msualg_1(A, B), k2_msafree2(A))) =>  (! [D] :  (v7_ordinal1(D) => k2_circuit1(A, B, C, D)=k1_funct_1(k9_funct_6(C), D)) ) ) ) ) ) ) ) ) ).
fof(t3_circuit1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) => k1_relset_1(u1_struct_0(A), C)=u1_struct_0(A)) ) ) ) ) ) ).
fof(t4_circuit1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r2_tarski(k1_funct_1(C, D), k1_funct_1(u3_msualg_1(A, B), D))) ) ) ) ) ) ) ) ).
fof(d3_circuit1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) => k3_circuit1(A, B, C, D)=k3_relat_1(k1_msualg_1(A, D), C)) ) ) ) ) ) ) ) ).
fof(t5_circuit1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), C)) =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) &  (v1_finseq_1(F) & v6_trees_3(F)) ) )  =>  ( (r2_tarski(C, k3_msafree2(A)) & E=k4_trees_4(k4_tarski(k4_msafree2(A, C), u1_struct_0(A)), F))  =>  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  ( (r2_tarski(G, k1_relset_1(k4_ordinal1, F)) & r2_tarski(k1_funct_1(F, G), k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), D)))  => D=k7_partfun1(u1_struct_0(A), k1_msualg_1(A, k4_msafree2(A, C)), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_circuit1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), C)) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), D)) =>  (! [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) &  (v1_finseq_1(G) & v6_trees_3(G)) ) )  =>  (! [H] :  (m1_subset_1(H, k4_ordinal1) =>  ( (r2_tarski(C, k7_subset_1(u1_struct_0(A), k3_msafree2(A), k1_msafree2(A))) &  (E=k4_trees_4(k4_tarski(k4_msafree2(A, C), u1_struct_0(A)), G) &  (r2_tarski(k1_nat_1(H, 1), k1_relset_1(k4_ordinal1, G)) & r2_tarski(k1_funct_1(G, k1_nat_1(H, 1)), k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), D))) ) )  => r2_tarski(k7_trees_2(E, k14_trees_3(H), F), k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_circuit1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), C)) =>  ~ ( ( ~ (r1_xxreal_0(k4_card_1(D), 1))  &  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  ~ (k1_funct_1(D, k1_xboole_0)=k4_tarski(E, u1_struct_0(A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_circuit1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) => r2_tarski(k1_funct_1(k5_msualg_1(A, D, B), k3_circuit1(A, B, C, D)), k1_funct_1(u3_msualg_1(A, B), k2_msualg_1(A, D)))) ) ) ) ) ) ) ) ).
fof(t9_circuit1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), C)) =>  ~ ( (k1_funct_1(D, k1_xboole_0)=k4_tarski(k4_msafree2(A, C), u1_struct_0(A)) &  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) &  (v1_finseq_1(E) & v6_trees_3(E)) ) )  =>  ~ (D=k4_trees_4(k4_tarski(k4_msafree2(A, C), u1_struct_0(A)), E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_circuit1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k4_circuit1(A, B, C)=1 <=> r2_tarski(C, k4_subset_1(u1_struct_0(A), k2_msafree2(A), k1_msafree2(A)))) ) ) ) ) ) ) ).
fof(t11_circuit1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), C)) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), D)) =>  (! [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) &  (v1_finseq_1(G) & v6_trees_3(G)) ) )  =>  ( (r2_tarski(C, k7_subset_1(u1_struct_0(A), k3_msafree2(A), k1_msafree2(A))) &  (k4_card_1(E)=k4_circuit1(A, B, C) &  (E=k4_trees_4(k4_tarski(k4_msafree2(A, C), u1_struct_0(A)), G) & r2_tarski(F, k10_xtuple_0(G))) ) )  => k4_card_1(F)=k4_circuit1(A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_circuit1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), C)) =>  ~ ( (r2_tarski(C, k7_subset_1(u1_struct_0(A), k3_msafree2(A), k1_msafree2(A))) &  (k4_card_1(D)=k4_circuit1(A, B, C) &  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) &  (v1_finseq_1(E) & v6_trees_3(E)) ) )  =>  ~ (D=k4_trees_4(k4_tarski(k4_msafree2(A, C), u1_struct_0(A)), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_circuit1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), C)) =>  ~ ( (r2_tarski(C, k7_subset_1(u1_struct_0(A), k3_msafree2(A), k1_msafree2(A))) &  (k4_card_1(D)=k4_circuit1(A, B, C) &  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  ~ (k1_funct_1(D, k1_xboole_0)=k4_tarski(E, u1_struct_0(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_circuit1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), C)) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (E=k5_circuit1(A, B, C, D) <=>  (? [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, k11_msafree(A, u3_msualg_1(A, B))), C)) &  (D=F & E=k8_msafree2(A, u3_msualg_1(A, B), C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_circuit1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(C, k3_msafree2(A)) &  (r2_tarski(D, k2_relset_1(u1_struct_0(A), k1_msualg_1(A, k4_msafree2(A, C)))) & r1_xxreal_0(k4_circuit1(A, B, C), k4_circuit1(A, B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_circuit1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ (r1_xxreal_0(k4_circuit1(A, B, C), k5_numbers)) ) ) ) ) ) ) ).
fof(t16_circuit1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), C)) =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) &  (v1_finseq_1(E) & v6_trees_3(E)) ) )  =>  ( (r2_tarski(C, k3_msafree2(A)) &  (D=k4_trees_4(k4_tarski(k4_msafree2(A, C), u1_struct_0(A)), E) &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  ~ ( (r2_tarski(F, k1_relset_1(k4_ordinal1, E)) &  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), k7_partfun1(u1_struct_0(A), k1_msualg_1(A, k4_msafree2(A, C)), F))) =>  ~ ( (G=k1_funct_1(E, F) & k4_card_1(G)=k4_circuit1(A, B, k7_partfun1(u1_struct_0(A), k1_msualg_1(A, k4_msafree2(A, C)), F))) ) ) ) ) ) ) ) ) )  => k4_card_1(D)=k4_circuit1(A, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_circuit1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_xxreal_0(k6_circuit1(A, B, C), k7_circuit1(A, B))) ) ) ) ) ) ).
fof(t18_circuit1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k6_circuit1(A, B, C)=k5_numbers <=>  (r2_tarski(C, k2_msafree2(A)) | r2_tarski(C, k1_msafree2(A))) ) ) ) ) ) ) ) ).
fof(t19_circuit1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(C, k3_msafree2(A)) &  (r2_tarski(D, k2_relset_1(u1_struct_0(A), k1_msualg_1(A, k4_msafree2(A, C)))) & r1_xxreal_0(k6_circuit1(A, B, C), k6_circuit1(A, B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_circuit1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  &  (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) ) )  =>  (v1_relat_1(k1_circuit1(A, B)) &  (v4_relat_1(k1_circuit1(A, B), k1_msafree2(A)) &  (v1_funct_1(k1_circuit1(A, B)) & v1_partfun1(k1_circuit1(A, B), k1_msafree2(A))) ) ) ) ) ).
fof(dt_k2_circuit1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  &  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  &  (m2_pboole(C, k2_msafree2(A), k7_funcop_1(k2_msafree2(A), k4_ordinal1), k5_relat_1(u3_msualg_1(A, B), k2_msafree2(A))) & v7_ordinal1(D)) ) )  => m1_msafree2(k2_circuit1(A, B, C, D), A, B)) ) ).
fof(dt_k3_circuit1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  &  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  &  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) & m1_subset_1(D, u4_struct_0(A))) ) )  => m1_subset_1(k3_circuit1(A, B, C, D), k3_msualg_1(A, D, B))) ) ).
fof(dt_k4_circuit1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  &  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  & m1_subset_1(C, u1_struct_0(A))) )  => v7_ordinal1(k4_circuit1(A, B, C))) ) ).
fof(dt_k5_circuit1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), C))) ) )  => m1_subset_1(k5_circuit1(A, B, C, D), k4_ordinal1)) ) ).
fof(dt_k6_circuit1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v5_msafree2(A) & l1_msualg_1(A)) ) )  &  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  & m1_subset_1(C, u1_struct_0(A))) )  => v7_ordinal1(k6_circuit1(A, B, C))) ) ).
fof(dt_k7_circuit1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) ) )  &  (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) ) )  => v7_ordinal1(k7_circuit1(A, B))) ) ).
fof(d4_circuit1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) =>  (D=k4_circuit1(A, B, C) <=>  (? [E] :  ( ( ~ (v1_xboole_0(E))  &  (v1_finset_1(E) & m1_subset_1(E, k1_zfmisc_1(k4_ordinal1))) )  &  (E=a_3_0_circuit1(A, B, C) & D=k1_xxreal_2(E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_circuit1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v5_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) =>  (D=k6_circuit1(A, B, C) <=>  (? [E] :  ( ( ~ (v1_xboole_0(E))  &  (v1_finset_1(E) & m1_subset_1(E, k1_zfmisc_1(k4_ordinal1))) )  &  (E=a_3_1_circuit1(A, B, C) & D=k1_xxreal_2(E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_circuit1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (C=k7_circuit1(A, B) <=>  (? [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(k4_ordinal1))) )  &  (D=a_2_0_circuit1(A, B) & C=k1_xxreal_2(D)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_circuit1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) &  (v5_msafree2(B) & l1_msualg_1(B)) ) ) )  &  ( (v4_msualg_1(C, B) &  (v4_msafree2(C, B) & l3_msualg_1(C, B)) )  & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_0_circuit1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(B, k5_msafree2(B, C)), D)) & A=k4_card_1(E)) ) ) ) ) ).
fof(fraenkel_a_3_1_circuit1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v5_msafree2(B) & l1_msualg_1(B)) ) )  &  ( (v4_msualg_1(C, B) &  (v4_msafree2(C, B) & l3_msualg_1(C, B)) )  & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_1_circuit1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(B, k5_msafree2(B, C)), D)) & A=k5_circuit1(B, C, D, E)) ) ) ) ) ).
fof(fraenkel_a_2_0_circuit1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  ( ~ (v11_struct_0(B))  &  (v2_msafree2(B) &  (v5_msafree2(B) & l1_msualg_1(B)) ) ) ) )  &  (v4_msualg_1(C, B) &  (v4_msafree2(C, B) & l3_msualg_1(C, B)) ) )  =>  (r2_hidden(A, a_2_0_circuit1(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=k6_circuit1(B, C, D) & r2_tarski(D, u1_struct_0(B))) ) ) ) ) ) ).
fof(t1_circuit2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m2_pboole(C, u1_struct_0(A), u3_msualg_1(A, k11_msafree(A, B)), u3_msualg_1(A, k11_msafree(A, B))) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_funcop_1(D)) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) &  (v1_finseq_1(F) & v6_trees_3(F)) ) )  =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, k11_msafree(A, B)), E)) =>  ~ ( (r2_tarski(E, k3_msafree2(A)) &  (G=k4_trees_4(k4_tarski(k4_msafree2(A, E), u1_struct_0(A)), F) &  (r1_msualg_3(A, k11_msafree(A, B), k11_msafree(A, B), C) &  (D=k3_relat_1(k1_msualg_1(A, k4_msafree2(A, E)), C) &  (! [H] :  ( (v1_relat_1(H) &  (v1_funct_1(H) &  (v1_finseq_1(H) & v6_trees_3(H)) ) )  =>  ~ ( (H=k15_pralg_1(D, F) & k3_funct_2(k1_funct_1(u3_msualg_1(A, k11_msafree(A, B)), E), k1_funct_1(u3_msualg_1(A, k11_msafree(A, B)), E), k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, k11_msafree(A, B)), u3_msualg_1(A, k11_msafree(A, B)), C, E), G)=k4_trees_4(k4_tarski(k4_msafree2(A, E), u1_struct_0(A)), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_circuit2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_msafree2(C, A, B) =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), k13_msafree(A, u3_msualg_1(A, B)), u3_msualg_1(A, k5_msafree2(A, B))) =>  (D=k2_circuit2(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r2_tarski(E, k2_msafree2(A)) => r1_funct_2(k1_funct_1(k13_msafree(A, u3_msualg_1(A, B)), E), k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), E), k12_msafree(A, u3_msualg_1(A, B), E), k1_tarski(k1_trees_4(k4_tarski(k1_funct_1(C, E), E))), k1_msualg_3(u1_struct_0(A), k13_msafree(A, u3_msualg_1(A, B)), u3_msualg_1(A, k5_msafree2(A, B)), D, E), k7_funcop_1(k12_msafree(A, u3_msualg_1(A, B), E), k1_trees_4(k4_tarski(k1_funct_1(C, E), E)))))  &  ( (r2_tarski(E, k1_msafree2(A)) => r1_funct_2(k1_funct_1(k13_msafree(A, u3_msualg_1(A, B)), E), k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), E), k12_msafree(A, u3_msualg_1(A, B), E), k1_tarski(k1_trees_4(k4_tarski(k4_msafree2(A, E), u1_struct_0(A)))), k1_msualg_3(u1_struct_0(A), k13_msafree(A, u3_msualg_1(A, B)), u3_msualg_1(A, k5_msafree2(A, B)), D, E), k7_funcop_1(k12_msafree(A, u3_msualg_1(A, B), E), k1_trees_4(k4_tarski(k4_msafree2(A, E), u1_struct_0(A))))))  &  (r2_tarski(E, k7_subset_1(u1_struct_0(A), k3_msafree2(A), k1_msafree2(A))) => k1_msualg_3(u1_struct_0(A), k13_msafree(A, u3_msualg_1(A, B)), u3_msualg_1(A, k5_msafree2(A, B)), D, E)=k6_partfun1(k12_msafree(A, u3_msualg_1(A, B), E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_circuit2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_msafree2(C, A, B) =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, k5_msafree2(A, B)), u3_msualg_1(A, k5_msafree2(A, B))) =>  (D=k3_circuit2(A, B, C) <=>  (r1_msualg_3(A, k5_msafree2(A, B), k5_msafree2(A, B), D) & r2_pboole(u1_struct_0(A), k2_circuit2(A, B, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(t2_circuit2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_msafree2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), D)) =>  (! [F] :  ( (r2_tarski(D, k7_subset_1(u1_struct_0(A), k3_msafree2(A), k1_msafree2(A))) & E=k1_trees_4(k4_tarski(F, D)))  => k3_funct_2(k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), D), k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), D), k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, k5_msafree2(A, B)), u3_msualg_1(A, k5_msafree2(A, B)), k3_circuit2(A, B, C), D), E)=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_circuit2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_msafree2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, B), D)) =>  (r2_tarski(D, k2_msafree2(A)) => k1_funct_1(k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, k5_msafree2(A, B)), u3_msualg_1(A, k5_msafree2(A, B)), k3_circuit2(A, B, C), D), k1_trees_4(k4_tarski(E, D)))=k1_trees_4(k4_tarski(k1_funct_1(C, D), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_circuit2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_msafree2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), D)) =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) &  (v1_finseq_1(F) & v6_trees_3(F)) ) )  =>  (! [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) &  (v1_finseq_1(G) & v6_trees_3(G)) ) )  =>  ( (r2_tarski(D, k3_msafree2(A)) &  (E=k4_trees_4(k4_tarski(k4_msafree2(A, D), u1_struct_0(A)), F) &  (k4_finseq_1(F)=k4_finseq_1(G) &  (! [H] :  (m1_subset_1(H, k4_ordinal1) =>  (r2_tarski(H, k4_finseq_1(F)) => k1_funct_1(G, H)=k1_funct_1(k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, k5_msafree2(A, B)), u3_msualg_1(A, k5_msafree2(A, B)), k3_circuit2(A, B, C), k7_partfun1(u1_struct_0(A), k1_msualg_1(A, k4_msafree2(A, D)), H)), k1_funct_1(F, H))) ) ) ) ) )  => k3_funct_2(k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), D), k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), D), k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, k5_msafree2(A, B)), u3_msualg_1(A, k5_msafree2(A, B)), k3_circuit2(A, B, C), D), E)=k4_trees_4(k4_tarski(k4_msafree2(A, D), u1_struct_0(A)), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_circuit2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_msafree2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), D)) =>  (r2_tarski(D, k1_msafree2(A)) => k3_funct_2(k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), D), k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), D), k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, k5_msafree2(A, B)), u3_msualg_1(A, k5_msafree2(A, B)), k3_circuit2(A, B, C), D), E)=k1_trees_4(k4_tarski(k4_msafree2(A, D), u1_struct_0(A)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_circuit2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_msafree2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), D)) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), D)) =>  (! [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) & v3_trees_2(G)) )  =>  (! [H] :  ( (v1_relat_1(H) &  (v1_funct_1(H) & v3_trees_2(H)) )  =>  ( (G=E &  (H=F & F=k3_funct_2(k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), D), k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), D), k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, k5_msafree2(A, B)), u3_msualg_1(A, k5_msafree2(A, B)), k3_circuit2(A, B, C), D), E)) )  => k9_xtuple_0(G)=k9_xtuple_0(H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_circuit2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_msafree2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), D)) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), D)) =>  (F=k3_funct_2(k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), D), k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), D), k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, k5_msafree2(A, B)), u3_msualg_1(A, k5_msafree2(A, B)), k3_circuit2(A, B, C), D), E) => k4_card_1(E)=k4_card_1(F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_circuit2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_msafree2(D, A, B) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), C)) =>  (E=k4_circuit2(A, B, C, D) <=>  (? [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), C)) &  (k4_card_1(F)=k4_circuit1(A, B, C) & E=k3_funct_2(k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), C), k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), C), k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, k5_msafree2(A, B)), u3_msualg_1(A, k5_msafree2(A, B)), k3_circuit2(A, B, D), C), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_circuit2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_msafree2(D, A, B) => k4_circuit2(A, B, C, D)=k3_funct_2(k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), C), k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), C), k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, k5_msafree2(A, B)), u3_msualg_1(A, k5_msafree2(A, B)), k3_circuit2(A, B, D), C), k4_circuit2(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t9_circuit2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_msafree2(D, A, B) =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) &  (v1_finseq_1(E) & v6_trees_3(E)) ) )  =>  ( (r2_tarski(C, k3_msafree2(A)) &  (k4_finseq_1(E)=k4_finseq_1(k1_msualg_1(A, k4_msafree2(A, C))) &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r2_tarski(F, k4_finseq_1(E)) => k1_funct_1(E, F)=k4_circuit2(A, B, k7_partfun1(u1_struct_0(A), k1_msualg_1(A, k4_msafree2(A, C)), F), D)) ) ) ) )  => k4_circuit2(A, B, C, D)=k4_trees_4(k4_tarski(k4_msafree2(A, C), u1_struct_0(A)), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_circuit2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_msafree2(D, A, B) => k5_circuit2(A, B, C, D)=k3_funct_2(k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), C), k1_funct_1(u3_msualg_1(A, B), C), k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, k5_msafree2(A, B)), u3_msualg_1(A, B), k6_msafree2(A, B), C), k4_circuit2(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t10_circuit2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_msafree2(D, A, B) =>  (r2_tarski(C, k2_msafree2(A)) => k5_circuit2(A, B, C, D)=k1_funct_1(D, C)) ) ) ) ) ) ) ) ) ).
fof(t11_circuit2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_msafree2(D, A, B) =>  (r2_tarski(C, k1_msafree2(A)) => k5_circuit2(A, B, C, D)=k1_funct_1(k1_circuit1(A, B), C)) ) ) ) ) ) ) ) ) ).
fof(d5_circuit2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(A, B))) =>  (D=k6_circuit2(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r2_tarski(E, k2_msafree2(A)) => k1_funct_1(D, E)=k1_funct_1(C, E))  &  (r2_tarski(E, k3_msafree2(A)) => k1_funct_1(D, E)=k3_funct_2(k3_msualg_1(A, k4_msafree2(A, E), B), k4_msualg_1(A, k4_msafree2(A, E), B), k5_msualg_1(A, k4_msafree2(A, E), B), k3_circuit1(A, B, C, k4_msafree2(A, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_circuit2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) =>  (! [D] :  (m1_msafree2(D, A, B) =>  (r1_tarski(D, C) => r1_tarski(D, k6_circuit2(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(d6_circuit2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) =>  (v1_circuit2(C, A, B) <=> r8_pboole(u1_struct_0(A), C, k6_circuit2(A, B, C))) ) ) ) ) ) ) ).
fof(d7_circuit2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) =>  (! [D] :  (m1_msafree2(D, A, B) => k7_circuit2(A, B, C, D)=k6_circuit2(A, B, k1_circuit2(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(d8_circuit2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m2_pboole(C, k2_msafree2(A), k7_funcop_1(k2_msafree2(A), k4_ordinal1), k5_relat_1(u3_msualg_1(A, B), k2_msafree2(A))) =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(A, B))) => k8_circuit2(A, B, C, D)=k1_funct_4(k1_circuit2(A, B, D, k2_circuit1(A, B, C, k5_numbers)), k1_circuit1(A, B))) ) ) ) ) ) ) ) ).
fof(d9_circuit2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m2_pboole(C, k2_msafree2(A), k7_funcop_1(k2_msafree2(A), k4_ordinal1), k5_relat_1(u3_msualg_1(A, B), k2_msafree2(A))) =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(A, B))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k4_card_3(u3_msualg_1(A, B))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_card_3(u3_msualg_1(A, B)))))) )  =>  (E=k9_circuit2(A, B, C, D) <=>  (r8_pboole(u1_struct_0(A), k8_nat_1(k4_card_3(u3_msualg_1(A, B)), E, k5_numbers), k8_circuit2(A, B, C, D)) &  (! [F] :  (v7_ordinal1(F) => r8_pboole(u1_struct_0(A), k8_nat_1(k4_card_3(u3_msualg_1(A, B)), E, k1_nat_1(F, 1)), k7_circuit2(A, B, k8_nat_1(k4_card_3(u3_msualg_1(A, B)), E, F), k2_circuit1(A, B, C, k1_nat_1(F, 1))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_circuit2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) =>  (! [D] :  (m1_msafree2(D, A, B) =>  (! [E] :  (v7_ordinal1(E) =>  ( (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r1_xxreal_0(k6_circuit1(A, B, F), E) => k1_funct_1(C, F)=k5_circuit2(A, B, F, D)) ) )  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r1_xxreal_0(k6_circuit1(A, B, F), k1_nat_1(E, 1)) => k1_funct_1(k6_circuit2(A, B, C), F)=k5_circuit2(A, B, F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_circuit2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m2_pboole(C, k2_msafree2(A), k7_funcop_1(k2_msafree2(A), k4_ordinal1), k5_relat_1(u3_msualg_1(A, B), k2_msafree2(A))) =>  (v3_funct_1(k9_funct_6(C)) =>  (v1_xboole_0(k2_msafree2(A)) |  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(A, B))) =>  (! [E] :  (m1_msafree2(E, A, B) =>  (E=k1_funct_1(k9_funct_6(C), k5_numbers) =>  (! [F] :  (v7_ordinal1(F) => r1_tarski(E, k8_nat_1(k4_card_3(u3_msualg_1(A, B)), k9_circuit2(A, B, C, D), F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_circuit2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m2_pboole(C, k2_msafree2(A), k7_funcop_1(k2_msafree2(A), k4_ordinal1), k5_relat_1(u3_msualg_1(A, B), k2_msafree2(A))) =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(A, B))) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( (v3_funct_1(k9_funct_6(C)) & v1_circuit2(k8_nat_1(k4_card_3(u3_msualg_1(A, B)), k9_circuit2(A, B, C, D), E), A, B))  =>  (v1_xboole_0(k2_msafree2(A)) |  (! [F] :  (v7_ordinal1(F) =>  (r1_xxreal_0(E, F) => r8_pboole(u1_struct_0(A), k8_nat_1(k4_card_3(u3_msualg_1(A, B)), k9_circuit2(A, B, C, D), E), k8_nat_1(k4_card_3(u3_msualg_1(A, B)), k9_circuit2(A, B, C, D), F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_circuit2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m2_pboole(C, k2_msafree2(A), k7_funcop_1(k2_msafree2(A), k4_ordinal1), k5_relat_1(u3_msualg_1(A, B), k2_msafree2(A))) =>  (v3_funct_1(k9_funct_6(C)) =>  (v1_xboole_0(k2_msafree2(A)) |  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(A, B))) =>  (! [E] :  (m1_msafree2(E, A, B) =>  (E=k1_funct_1(k9_funct_6(C), k5_numbers) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r1_xxreal_0(k6_circuit1(A, B, G), F) => k1_funct_1(k8_nat_1(k4_card_3(u3_msualg_1(A, B)), k9_circuit2(A, B, C, D), F), G)=k5_circuit2(A, B, G, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_circuit2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m2_pboole(C, k2_msafree2(A), k7_funcop_1(k2_msafree2(A), k4_ordinal1), k5_relat_1(u3_msualg_1(A, B), k2_msafree2(A))) =>  (! [D] :  (m1_msafree2(D, A, B) =>  ( (v3_funct_1(k9_funct_6(C)) & D=k1_funct_1(k9_funct_6(C), k5_numbers))  =>  (v1_xboole_0(k2_msafree2(A)) |  (! [E] :  (m1_subset_1(E, k4_card_3(u3_msualg_1(A, B))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  (G=k7_circuit1(A, B) => k1_funct_1(k8_nat_1(k4_card_3(u3_msualg_1(A, B)), k9_circuit2(A, B, C, E), G), F)=k5_circuit2(A, B, F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_circuit2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m2_pboole(C, k2_msafree2(A), k7_funcop_1(k2_msafree2(A), k4_ordinal1), k5_relat_1(u3_msualg_1(A, B), k2_msafree2(A))) =>  (v3_funct_1(k9_funct_6(C)) =>  (v1_xboole_0(k2_msafree2(A)) |  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(A, B))) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (E=k7_circuit1(A, B) => v1_circuit2(k8_nat_1(k4_card_3(u3_msualg_1(A, B)), k9_circuit2(A, B, C, D), E), A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_circuit2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m2_pboole(C, k2_msafree2(A), k7_funcop_1(k2_msafree2(A), k4_ordinal1), k5_relat_1(u3_msualg_1(A, B), k2_msafree2(A))) =>  (v3_funct_1(k9_funct_6(C)) =>  (v1_xboole_0(k2_msafree2(A)) |  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(A, B))) =>  (! [E] :  (m1_subset_1(E, k4_card_3(u3_msualg_1(A, B))) => r8_pboole(u1_struct_0(A), k8_nat_1(k4_card_3(u3_msualg_1(A, B)), k9_circuit2(A, B, C, D), k7_circuit1(A, B)), k8_nat_1(k4_card_3(u3_msualg_1(A, B)), k9_circuit2(A, B, C, E), k7_circuit1(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_circuit2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  &  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  &  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) & m1_msafree2(D, A, B)) ) )  => m1_subset_1(k1_circuit2(A, B, C, D), k4_card_3(u3_msualg_1(A, B)))) ) ).
fof(idempotence_k1_circuit2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  &  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  &  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) & m1_msafree2(D, A, B)) ) )  => k1_circuit2(A, B, C, C)=C) ) ).
fof(redefinition_k1_circuit2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  &  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  &  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) & m1_msafree2(D, A, B)) ) )  => k1_circuit2(A, B, C, D)=k1_funct_4(C, D)) ) ).
fof(dt_k2_circuit2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  &  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  & m1_msafree2(C, A, B)) )  => m2_pboole(k2_circuit2(A, B, C), u1_struct_0(A), k13_msafree(A, u3_msualg_1(A, B)), u3_msualg_1(A, k5_msafree2(A, B)))) ) ).
fof(dt_k3_circuit2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  &  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  & m1_msafree2(C, A, B)) )  => m2_pboole(k3_circuit2(A, B, C), u1_struct_0(A), u3_msualg_1(A, k5_msafree2(A, B)), u3_msualg_1(A, k5_msafree2(A, B)))) ) ).
fof(dt_k4_circuit2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  &  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  &  (m1_subset_1(C, u1_struct_0(A)) & m1_msafree2(D, A, B)) ) )  => m1_subset_1(k4_circuit2(A, B, C, D), k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), C))) ) ).
fof(dt_k5_circuit2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  &  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  &  (m1_subset_1(C, u1_struct_0(A)) & m1_msafree2(D, A, B)) ) )  => m1_subset_1(k5_circuit2(A, B, C, D), k1_funct_1(u3_msualg_1(A, B), C))) ) ).
fof(dt_k6_circuit2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  &  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  & m1_subset_1(C, k4_card_3(u3_msualg_1(A, B)))) )  => m1_subset_1(k6_circuit2(A, B, C), k4_card_3(u3_msualg_1(A, B)))) ) ).
fof(dt_k7_circuit2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  &  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  &  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) & m1_msafree2(D, A, B)) ) )  => m1_subset_1(k7_circuit2(A, B, C, D), k4_card_3(u3_msualg_1(A, B)))) ) ).
fof(dt_k8_circuit2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  &  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  &  (m2_pboole(C, k2_msafree2(A), k7_funcop_1(k2_msafree2(A), k4_ordinal1), k5_relat_1(u3_msualg_1(A, B), k2_msafree2(A))) & m1_subset_1(D, k4_card_3(u3_msualg_1(A, B)))) ) )  => m1_subset_1(k8_circuit2(A, B, C, D), k4_card_3(u3_msualg_1(A, B)))) ) ).
fof(dt_k9_circuit2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_msafree2(A) & l1_msualg_1(A)) ) ) )  &  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  &  (m2_pboole(C, k2_msafree2(A), k7_funcop_1(k2_msafree2(A), k4_ordinal1), k5_relat_1(u3_msualg_1(A, B), k2_msafree2(A))) & m1_subset_1(D, k4_card_3(u3_msualg_1(A, B)))) ) )  =>  (v1_funct_1(k9_circuit2(A, B, C, D)) &  (v1_funct_2(k9_circuit2(A, B, C, D), k4_ordinal1, k4_card_3(u3_msualg_1(A, B))) & m1_subset_1(k9_circuit2(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_card_3(u3_msualg_1(A, B)))))) ) ) ) ).
fof(rc1_ckspace1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) &  ( ~ (v1_xboole_0(B))  &  (v4_funct_1(B) &  (v3_finseq_1(B) & v1_pdiff_7(B, A)) ) ) ) ) ) ) ).
fof(fc1_ckspace1, axiom,  (! [A, B, C] :  ( ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  &  (m1_subset_1(B, k4_ordinal1) &  ( ~ (v1_xboole_0(C))  &  (v1_pdiff_7(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_euclid(A)))) ) ) )  =>  ( ~ (v1_xboole_0(k1_ckspace1(A, B, C)))  &  (v3_c0sp1(k1_ckspace1(A, B, C), k12_funcsdom(C)) & v4_c0sp1(k1_ckspace1(A, B, C), k12_funcsdom(C))) ) ) ) ).
fof(fc2_ckspace1, axiom,  (! [A, B, C] :  ( ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  &  (m1_subset_1(B, k4_ordinal1) &  ( ~ (v1_xboole_0(C))  &  (v1_pdiff_7(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_euclid(A)))) ) ) )  =>  (v13_algstr_0(k2_ckspace1(A, B, C)) &  (v2_rlvect_1(k2_ckspace1(A, B, C)) &  (v3_rlvect_1(k2_ckspace1(A, B, C)) &  (v4_rlvect_1(k2_ckspace1(A, B, C)) &  (v5_rlvect_1(k2_ckspace1(A, B, C)) &  (v6_rlvect_1(k2_ckspace1(A, B, C)) &  (v7_rlvect_1(k2_ckspace1(A, B, C)) &  (v8_rlvect_1(k2_ckspace1(A, B, C)) &  (v1_vectsp_1(k2_ckspace1(A, B, C)) &  (v3_vectsp_1(k2_ckspace1(A, B, C)) &  (v3_group_1(k2_ckspace1(A, B, C)) &  (v5_group_1(k2_ckspace1(A, B, C)) & v2_funcsdom(k2_ckspace1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_ckspace1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (r1_ckspace1(A, B, C, D) <=>  (r1_tarski(D, k1_relset_1(k1_euclid(A), B)) &  (r5_pdiff_9(A, B, C, D) &  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m2_finseq_1(E, k4_ordinal1))  =>  ( (r1_xxreal_0(k3_finseq_1(E), C) & r1_tarski(k2_relset_1(k4_ordinal1, E), k2_finseq_1(A)))  => r1_pdiff_9(A, D, k5_pdiff_9(A, D, E, B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_ckspace1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m2_finseq_1(C, k4_ordinal1))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (r4_pdiff_9(A, B, C, D) => k1_relset_1(k1_euclid(A), k5_pdiff_9(A, B, C, D))=B) ) ) ) ) ) ) ) ).
fof(t2_ckspace1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_euclid(A))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  ( (v1_pdiff_7(C, A) & r1_tarski(C, k1_relset_1(k1_euclid(A), D)))  =>  (r1_ckspace1(A, D, 1, C) <=>  (r2_pdiff_9(C, A, D) &  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( (r2_tarski(E, C) &  ( ~ (r1_xxreal_0(F, k5_numbers))  &  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(G, k5_numbers))  &  (! [H] :  (m2_finseq_2(H, k1_numbers, k1_euclid(A)) =>  (r2_tarski(H, C) =>  (r1_xxreal_0(G, k12_euclid(k8_euclid(A, H, E))) |  (! [I] :  (m2_finseq_2(I, k1_numbers, k1_euclid(A)) => r1_xxreal_0(k9_complex1(k5_real_1(k3_funct_2(k1_euclid(A), k1_numbers, k1_pdiff_7(A, D, H), I), k3_funct_2(k1_euclid(A), k1_numbers, k1_pdiff_7(A, D, E), I))), k3_xcmplx_0(F, k12_euclid(I)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_ckspace1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  ( (v1_pdiff_7(B, A) &  (r1_tarski(B, k1_relset_1(k1_euclid(A), C)) & r1_ckspace1(A, C, 1, B)) )  => r1_pdiff_9(A, B, C)) ) ) ) ) ) ) ).
fof(t4_ckspace1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_euclid(A))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  ( (r1_ckspace1(A, D, B, C) &  (r1_ckspace1(A, E, B, C) & v1_pdiff_7(C, A)) )  => r1_ckspace1(A, k3_valued_1(k1_euclid(A), k1_numbers, k1_numbers, D, E), B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_ckspace1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_euclid(A))))  =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  ( (r1_ckspace1(A, E, B, C) & v1_pdiff_7(C, A))  => r1_ckspace1(A, k26_valued_1(k1_euclid(A), k1_numbers, E, D), B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_ckspace1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_euclid(A))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  ( (r1_ckspace1(A, D, B, C) &  (r1_ckspace1(A, E, B, C) & v1_pdiff_7(C, A)) )  => r1_ckspace1(A, k47_valued_1(k1_euclid(A), k1_numbers, k1_numbers, D, E), B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_ckspace1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m2_finseq_1(D, k4_ordinal1))  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m2_finseq_1(E, k4_ordinal1))  =>  (r4_pdiff_9(A, B, E, C) => r2_relset_1(k1_euclid(A), k1_numbers, k5_pdiff_9(A, B, k8_finseq_1(k4_ordinal1, E, D), C), k5_pdiff_9(A, B, D, k5_pdiff_9(A, B, E, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_ckspace1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m2_finseq_1(D, k4_ordinal1))  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m2_finseq_1(E, k4_ordinal1))  =>  (r4_pdiff_9(A, B, E, C) =>  (r1_pdiff_9(A, B, k5_pdiff_9(A, B, k8_finseq_1(k4_ordinal1, E, D), C)) <=> r1_pdiff_9(A, B, k5_pdiff_9(A, B, D, k5_pdiff_9(A, B, E, C)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_ckspace1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  & m2_finseq_1(F, k4_ordinal1))  =>  ( (r1_ckspace1(A, C, k2_xcmplx_0(D, E), B) &  (r1_tarski(k2_relset_1(k4_ordinal1, F), k2_finseq_1(A)) & k3_finseq_1(F)=E) )  => r1_ckspace1(A, k5_pdiff_9(A, B, F, C), D, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_ckspace1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_ckspace1(A, C, D, B) & r1_xxreal_0(E, D))  => r1_ckspace1(A, C, E, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_ckspace1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))))  =>  (v1_pdiff_7(B, A) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  ( (r1_ckspace1(A, D, C, B) & r1_ckspace1(A, E, C, B))  => r1_ckspace1(A, k20_valued_1(k1_euclid(A), k1_numbers, k1_numbers, D, E), C, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_ckspace1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_euclid(A))))  =>  (! [D] :  (v1_xreal_0(D) =>  ( (v1_pdiff_7(C, A) & B=k7_funcop_1(C, D))  =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (r2_tarski(E, C) =>  (r1_pdiff_7(A, B, E) & r1_funct_2(k1_euclid(A), k1_numbers, k1_euclid(A), k4_ordinal1, k1_pdiff_7(A, B, E), k8_funcop_1(k4_ordinal1, k1_euclid(A), k5_numbers))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_ckspace1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_euclid(A))))  =>  (! [D] :  (v1_xreal_0(D) =>  ( (v1_pdiff_7(C, A) & B=k7_funcop_1(C, D))  =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( (r2_tarski(E, C) &  ( ~ (r1_xxreal_0(F, k5_numbers))  &  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(G, k5_numbers))  &  (! [H] :  (m2_finseq_2(H, k1_numbers, k1_euclid(A)) =>  (r2_tarski(H, C) =>  (r1_xxreal_0(G, k12_euclid(k8_euclid(A, H, E))) |  (! [I] :  (m2_finseq_2(I, k1_numbers, k1_euclid(A)) => r1_xxreal_0(k9_complex1(k5_real_1(k3_funct_2(k1_euclid(A), k1_numbers, k1_pdiff_7(A, B, H), I), k3_funct_2(k1_euclid(A), k1_numbers, k1_pdiff_7(A, B, E), I))), k3_xcmplx_0(F, k12_euclid(I)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_ckspace1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_euclid(A))))  =>  (! [D] :  (v1_xreal_0(D) =>  ( (v1_pdiff_7(C, A) & B=k7_funcop_1(C, D))  =>  (r2_pdiff_9(C, A, B) &  (k1_relset_1(k1_euclid(A), k2_pdiff_9(A, C, B))=C &  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (r2_tarski(E, C) => k7_partfun1(k9_funct_2(k1_euclid(A), k1_numbers), k2_pdiff_9(A, C, B), E)=k8_funcop_1(k4_ordinal1, k1_euclid(A), k5_numbers)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_ckspace1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_euclid(A))))  =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( (v1_pdiff_7(C, A) &  (B=k7_funcop_1(C, D) &  (r1_xxreal_0(1, E) & r1_xxreal_0(E, A)) ) )  =>  (r3_pdiff_9(A, C, E, B) & r1_pdiff_9(A, C, k3_pdiff_9(A, C, E, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_ckspace1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k1_euclid(A))))  =>  (! [E] :  (v1_xreal_0(E) =>  ( (v1_pdiff_7(D, A) &  (C=k7_funcop_1(D, E) &  (r1_xxreal_0(1, B) & r1_xxreal_0(B, A)) ) )  => k3_pdiff_9(A, D, B, C)=k8_funcop_1(k4_ordinal1, D, k5_numbers)) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_ckspace1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_euclid(A))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [E] :  (v1_xreal_0(E) =>  ( (v1_pdiff_7(C, A) &  (D=k7_funcop_1(C, E) & r1_tarski(k2_relset_1(k4_ordinal1, B), k2_finseq_1(A))) )  =>  (k1_seqfunc(k1_euclid(A), k1_numbers, k4_pdiff_9(A, C, B, D), k5_numbers)=k7_funcop_1(C, E) &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  ( (r1_xxreal_0(1, F) & r1_xxreal_0(F, k3_finseq_1(B)))  => k1_seqfunc(k1_euclid(A), k1_numbers, k4_pdiff_9(A, C, B, D), F)=k8_funcop_1(k4_ordinal1, C, k5_numbers)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_ckspace1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_euclid(A))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [E] :  (v1_xreal_0(E) =>  ( (v1_pdiff_7(C, A) &  (D=k7_funcop_1(C, E) & r1_tarski(k2_relset_1(k4_ordinal1, B), k2_finseq_1(A))) )  =>  (r4_pdiff_9(A, C, B, D) & r1_pdiff_9(A, C, k5_pdiff_9(A, C, B, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_ckspace1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_euclid(A))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [E] :  (v1_xreal_0(E) =>  ( (v1_pdiff_7(C, A) & D=k7_funcop_1(C, E))  => r1_ckspace1(A, D, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_ckspace1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_pdiff_7(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_euclid(A)))) )  => k2_ckspace1(A, B, C)=g1_funcsdom(k1_ckspace1(A, B, C), k2_c0sp1(k12_funcsdom(C), k1_ckspace1(A, B, C)), k1_c0sp1(k12_funcsdom(C), k1_ckspace1(A, B, C)), k5_c0sp1(k12_funcsdom(C), k1_ckspace1(A, B, C)), k4_c0sp1(k12_funcsdom(C), k1_ckspace1(A, B, C)), k3_c0sp1(k12_funcsdom(C), k1_ckspace1(A, B, C)))) ) ) ) ) ) ).
fof(t20_ckspace1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_pdiff_7(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_euclid(A)))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_ckspace1(A, B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_ckspace1(A, B, C))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_ckspace1(A, B, C))) =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [H] :  ( (v1_funct_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [I] :  ( (v1_funct_1(I) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  ( (G=D &  (H=E & I=F) )  =>  (F=k3_rlvect_1(k2_ckspace1(A, B, C), D, E) <=>  (! [J] :  (m2_subset_1(J, k1_euclid(A), C) => k1_funct_1(I, J)=k2_xcmplx_0(k1_funct_1(G, J), k1_funct_1(H, J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_ckspace1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_pdiff_7(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_euclid(A)))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_ckspace1(A, B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_ckspace1(A, B, C))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_ckspace1(A, B, C))) =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [H] :  ( (v1_funct_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [I] :  ( (v1_funct_1(I) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [J] :  (v1_xreal_0(J) =>  ( (G=D & H=E)  =>  (E=k1_rlvect_1(k2_ckspace1(A, B, C), D, J) <=>  (! [K] :  (m2_subset_1(K, k1_euclid(A), C) => k1_funct_1(H, K)=k3_xcmplx_0(J, k1_funct_1(G, K))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_ckspace1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_pdiff_7(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_euclid(A)))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_ckspace1(A, B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_ckspace1(A, B, C))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_ckspace1(A, B, C))) =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [H] :  ( (v1_funct_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [I] :  ( (v1_funct_1(I) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  ( (G=D &  (H=E & I=F) )  =>  (F=k8_group_1(k2_ckspace1(A, B, C), D, E) <=>  (! [J] :  (m2_subset_1(J, k1_euclid(A), C) => k1_funct_1(I, J)=k3_xcmplx_0(k1_funct_1(G, J), k1_funct_1(H, J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_ckspace1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_pdiff_7(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_euclid(A)))) )  => k4_struct_0(k2_ckspace1(A, B, C))=k8_funcop_1(k4_ordinal1, C, k5_numbers)) ) ) ) ) ) ).
fof(t24_ckspace1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_pdiff_7(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_euclid(A)))) )  => k1_group_1(k2_ckspace1(A, B, C))=k8_funcop_1(k4_ordinal1, C, 1)) ) ) ) ) ) ).
fof(dt_k1_ckspace1, axiom,  (! [A, B, C] :  ( ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  &  (m1_subset_1(B, k4_ordinal1) &  ( ~ (v1_xboole_0(C))  &  (v1_pdiff_7(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_euclid(A)))) ) ) )  =>  ( ~ (v1_xboole_0(k1_ckspace1(A, B, C)))  & m1_subset_1(k1_ckspace1(A, B, C), k1_zfmisc_1(u1_struct_0(k12_funcsdom(C))))) ) ) ).
fof(dt_k2_ckspace1, axiom,  (! [A, B, C] :  ( ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  &  (m1_subset_1(B, k4_ordinal1) &  ( ~ (v1_xboole_0(C))  &  (v1_pdiff_7(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_euclid(A)))) ) ) )  => m2_c0sp1(k2_ckspace1(A, B, C), k12_funcsdom(C))) ) ).
fof(d2_ckspace1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_pdiff_7(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_euclid(A)))) )  => k1_ckspace1(A, B, C)=a_3_0_ckspace1(A, B, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_ckspace1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  &  (m1_subset_1(C, k4_ordinal1) &  ( ~ (v1_xboole_0(D))  &  (v1_pdiff_7(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_euclid(B)))) ) ) )  =>  (r2_hidden(A, a_3_0_ckspace1(B, C, D)) <=>  (? [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B), k1_numbers))))  &  (A=E &  (r1_ckspace1(B, E, C, D) & k1_relset_1(k1_euclid(B), E)=D) ) ) ) ) ) ) ).
fof(fc1_classes1, axiom,  (! [A] :  ~ (v1_xboole_0(k1_classes1(A))) ) ).
fof(fc2_classes1, axiom,  (! [A] :  (v3_ordinal1(A) => v1_ordinal1(k4_classes1(A))) ) ).
fof(fc3_classes1, axiom,  (! [A] : v1_ordinal1(k5_classes1(A))) ).
fof(d1_classes1, axiom,  (! [A] :  (v1_classes1(A) <=>  (! [B] :  (! [C] :  ( (r2_tarski(B, A) & r1_tarski(C, B))  => r2_tarski(C, A)) ) ) ) ) ).
fof(d2_classes1, axiom,  (! [A] :  (v2_classes1(A) <=>  (v1_classes1(A) &  ( (! [B] :  (r2_tarski(B, A) => r2_tarski(k9_setfam_1(B), A)) )  &  (! [B] :  ~ ( (r1_tarski(B, A) &  ( ~ (r3_tarski(B, A))  &  ~ (r2_tarski(B, A)) ) ) ) ) ) ) ) ) ).
fof(d3_classes1, axiom,  (! [A] :  (! [B] :  (r1_classes1(A, B) <=>  (r2_tarski(A, B) & v2_classes1(B)) ) ) ) ).
fof(d4_classes1, axiom,  (! [A] :  (! [B] :  (B=k1_classes1(A) <=>  (r1_classes1(A, B) &  (! [C] :  (r1_classes1(A, C) => r1_tarski(B, C)) ) ) ) ) ) ).
fof(t1_classes1, axiom,  (! [A] :  (v2_classes1(A) <=>  (v1_classes1(A) &  ( (! [B] :  (r2_tarski(B, A) => r2_tarski(k9_setfam_1(B), A)) )  &  (! [B] :  ( (r1_tarski(B, A) & r2_tarski(k1_card_1(B), k1_card_1(A)))  => r2_tarski(B, A)) ) ) ) ) ) ).
fof(t2_classes1, axiom,  (! [A] : r2_tarski(A, k1_classes1(A))) ).
fof(t3_classes1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r2_tarski(B, k1_classes1(A)) & r1_tarski(C, B))  => r2_tarski(C, k1_classes1(A))) ) ) ) ).
fof(t4_classes1, axiom,  (! [A] :  (! [B] :  (r2_tarski(B, k1_classes1(A)) => r2_tarski(k9_setfam_1(B), k1_classes1(A))) ) ) ).
fof(t5_classes1, axiom,  (! [A] :  (! [B] :  ~ ( (r1_tarski(B, k1_classes1(A)) &  ( ~ (r3_tarski(B, k1_classes1(A)))  &  ~ (r2_tarski(B, k1_classes1(A))) ) ) ) ) ) ).
fof(t6_classes1, axiom,  (! [A] :  (! [B] :  ( (r1_tarski(B, k1_classes1(A)) & r2_tarski(k1_card_1(B), k1_card_1(k1_classes1(A))))  => r2_tarski(B, k1_classes1(A))) ) ) ).
fof(t7_classes1, axiom,  (! [A] : k3_classes1(A, k1_xboole_0)=k1_tarski(A)) ).
fof(t10_classes1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(B, k3_classes1(A, k1_ordinal1(C))) <=>  ~ ( ( ~ ( (r1_tarski(B, k3_classes1(A, C)) & r2_tarski(B, k1_classes1(A))) )  &  (! [D] :  ~ ( (r2_tarski(D, k3_classes1(A, C)) &  (r1_tarski(B, D) | B=k9_setfam_1(D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_classes1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (v3_ordinal1(D) =>  ( (r1_tarski(B, C) & r2_tarski(C, k3_classes1(A, D)))  => r2_tarski(B, k3_classes1(A, k1_ordinal1(D)))) ) ) ) ) ) ).
fof(t12_classes1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(B, k3_classes1(A, C)) => r2_tarski(k9_setfam_1(B), k3_classes1(A, k1_ordinal1(C)))) ) ) ) ) ).
fof(t13_classes1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v3_ordinal1(C) =>  (v4_ordinal1(C) =>  (C=k1_xboole_0 |  (r2_tarski(B, k3_classes1(A, C)) <=>  (? [D] :  (v3_ordinal1(D) &  (r2_tarski(D, C) & r2_tarski(B, k3_classes1(A, D))) ) ) ) ) ) ) ) ) ) ).
fof(t14_classes1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (v3_ordinal1(D) =>  ( (v4_ordinal1(D) & r2_tarski(B, k3_classes1(A, D)))  =>  (D=k1_xboole_0 |  ( ( ~ (r1_tarski(C, B))  &  ~ (C=k9_setfam_1(B)) )  | r2_tarski(C, k3_classes1(A, D))) ) ) ) ) ) ) ) ).
fof(t15_classes1, axiom,  (! [A] :  (! [B] :  (v3_ordinal1(B) => r1_tarski(k3_classes1(A, B), k3_classes1(A, k1_ordinal1(B)))) ) ) ).
fof(t16_classes1, axiom,  (! [A] :  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (r1_ordinal1(B, C) => r1_tarski(k3_classes1(A, B), k3_classes1(A, C))) ) ) ) ) ) ).
fof(t17_classes1, axiom,  (! [A] :  (? [B] :  (v3_ordinal1(B) & k3_classes1(A, B)=k3_classes1(A, k1_ordinal1(B))) ) ) ).
fof(t18_classes1, axiom,  (! [A] :  (! [B] :  (v3_ordinal1(B) =>  (k3_classes1(A, B)=k3_classes1(A, k1_ordinal1(B)) => k3_classes1(A, B)=k1_classes1(A)) ) ) ) ).
fof(t19_classes1, axiom,  (! [A] :  (? [B] :  (v3_ordinal1(B) & k3_classes1(A, B)=k1_classes1(A)) ) ) ).
fof(t20_classes1, axiom,  (! [A] :  (? [B] :  (v3_ordinal1(B) &  (k3_classes1(A, B)=k1_classes1(A) &  (! [C] :  (v3_ordinal1(C) =>  ~ ( (r2_tarski(C, B) & k3_classes1(A, C)=k1_classes1(A)) ) ) ) ) ) ) ) ).
fof(t21_classes1, axiom,  (! [A] :  (! [B] :  ~ ( ( ~ (B=A)  &  (r2_tarski(B, k1_classes1(A)) &  (! [C] :  (v3_ordinal1(C) =>  ~ ( ( ~ (r2_tarski(B, k3_classes1(A, C)))  & r2_tarski(B, k3_classes1(A, k1_ordinal1(C)))) ) ) ) ) ) ) ) ) ).
fof(t22_classes1, axiom,  (! [A] :  (v1_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  ( ~ (B=k1_xboole_0)  => v1_ordinal1(k3_classes1(A, B))) ) ) ) ) ).
fof(t23_classes1, axiom,  (! [A] :  (v1_ordinal1(A) => v1_ordinal1(k1_classes1(A))) ) ).
fof(t24_classes1, axiom,  (! [A] :  (! [B] :  (r2_tarski(B, k1_classes1(A)) => r2_tarski(k1_card_1(B), k1_card_1(k1_classes1(A)))) ) ) ).
fof(t25_classes1, axiom,  (! [A] :  (! [B] :  ~ ( (r2_tarski(B, k1_classes1(A)) & r3_tarski(B, k1_classes1(A))) ) ) ) ).
fof(t26_classes1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r2_tarski(B, k1_classes1(A)) => r2_tarski(k1_tarski(B), k1_classes1(A)))  &  ( (r2_tarski(B, k1_classes1(A)) & r2_tarski(C, k1_classes1(A)))  => r2_tarski(k2_tarski(B, C), k1_classes1(A))) ) ) ) ) ).
fof(t27_classes1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r2_tarski(B, k1_classes1(A)) & r2_tarski(C, k1_classes1(A)))  => r2_hidden(k4_tarski(B, C), k1_classes1(A))) ) ) ) ).
fof(t28_classes1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r1_tarski(B, k1_classes1(A)) & r1_tarski(C, k1_classes1(A)))  => r1_tarski(k2_zfmisc_1(B, C), k1_classes1(A))) ) ) ) ).
fof(d6_classes1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (B=k4_classes1(A) <=>  (? [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v5_ordinal1(C)) )  &  (B=k1_ordinal2(C) &  (k9_xtuple_0(C)=k1_ordinal1(A) &  (k1_funct_1(C, k5_ordinal1)=k1_xboole_0 &  ( (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(k1_ordinal1(D), k1_ordinal1(A)) => k1_funct_1(C, k1_ordinal1(D))=k9_setfam_1(k1_funct_1(C, D))) ) )  &  (! [D] :  (v3_ordinal1(D) =>  ( (r2_tarski(D, k1_ordinal1(A)) & v4_ordinal1(D))  =>  (D=k5_ordinal1 | k1_funct_1(C, D)=k3_tarski(k10_xtuple_0(k5_relat_1(C, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_classes1, axiom, k4_classes1(k1_xboole_0)=k1_xboole_0).
fof(t30_classes1, axiom,  (! [A] :  (v3_ordinal1(A) => k4_classes1(k1_ordinal1(A))=k9_setfam_1(k4_classes1(A))) ) ).
fof(t31_classes1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v4_ordinal1(A) =>  (A=k1_xboole_0 |  (! [B] :  (r2_tarski(B, k4_classes1(A)) <=>  (? [C] :  (v3_ordinal1(C) &  (r2_tarski(C, A) & r2_tarski(B, k4_classes1(C))) ) ) ) ) ) ) ) ) ).
fof(t32_classes1, axiom,  (! [A] :  (! [B] :  (v3_ordinal1(B) =>  (r1_tarski(A, k4_classes1(B)) <=> r2_tarski(A, k4_classes1(k1_ordinal1(B)))) ) ) ) ).
fof(t33_classes1, axiom,  (! [A] :  (v3_ordinal1(A) => r1_tarski(k4_classes1(A), k4_classes1(k1_ordinal1(A)))) ) ).
fof(t34_classes1, axiom,  (! [A] :  (v3_ordinal1(A) => r1_tarski(k3_tarski(k4_classes1(A)), k4_classes1(A))) ) ).
fof(t35_classes1, axiom,  (! [A] :  (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(A, k4_classes1(B)) => r2_tarski(k3_tarski(A), k4_classes1(B))) ) ) ) ).
fof(t36_classes1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(A, B) <=> r2_tarski(k4_classes1(A), k4_classes1(B))) ) ) ) ) ).
fof(t37_classes1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (r1_ordinal1(A, B) <=> r1_tarski(k4_classes1(A), k4_classes1(B))) ) ) ) ) ).
fof(t38_classes1, axiom,  (! [A] :  (v3_ordinal1(A) => r1_tarski(A, k4_classes1(A))) ) ).
fof(t39_classes1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (r2_tarski(B, k4_classes1(A)) =>  ( ~ (r3_tarski(B, k4_classes1(A)))  & r2_tarski(k1_card_1(B), k1_card_1(k4_classes1(A)))) ) ) ) ) ).
fof(t40_classes1, axiom,  (! [A] :  (! [B] :  (v3_ordinal1(B) =>  (r1_tarski(A, k4_classes1(B)) <=> r1_tarski(k9_setfam_1(A), k4_classes1(k1_ordinal1(B)))) ) ) ) ).
fof(t41_classes1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v3_ordinal1(C) =>  ( (r1_tarski(A, B) & r2_tarski(B, k4_classes1(C)))  => r2_tarski(A, k4_classes1(C))) ) ) ) ) ).
fof(t42_classes1, axiom,  (! [A] :  (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(A, k4_classes1(B)) <=> r2_tarski(k9_setfam_1(A), k4_classes1(k1_ordinal1(B)))) ) ) ) ).
fof(t43_classes1, axiom,  (! [A] :  (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(A, k4_classes1(B)) <=> r2_tarski(k1_tarski(A), k4_classes1(k1_ordinal1(B)))) ) ) ) ).
fof(t44_classes1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v3_ordinal1(C) =>  ( (r2_tarski(A, k4_classes1(C)) & r2_tarski(B, k4_classes1(C)))  <=> r2_tarski(k2_tarski(A, B), k4_classes1(k1_ordinal1(C)))) ) ) ) ) ).
fof(t45_classes1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v3_ordinal1(C) =>  ( (r2_tarski(A, k4_classes1(C)) & r2_tarski(B, k4_classes1(C)))  <=> r2_hidden(k4_tarski(A, B), k4_classes1(k1_ordinal1(k1_ordinal1(C))))) ) ) ) ) ).
fof(t46_classes1, axiom,  (! [A] :  (! [B] :  (v3_ordinal1(B) =>  ( (v1_ordinal1(A) & k3_xboole_0(k4_classes1(B), k1_classes1(A))=k3_xboole_0(k4_classes1(k1_ordinal1(B)), k1_classes1(A)))  => r1_tarski(k1_classes1(A), k4_classes1(B))) ) ) ) ).
fof(t47_classes1, axiom,  (! [A] :  ~ ( (v1_ordinal1(A) &  (! [B] :  (v3_ordinal1(B) =>  ~ (r1_tarski(k1_classes1(A), k4_classes1(B))) ) ) ) ) ) ).
fof(t48_classes1, axiom,  (! [A] :  (v1_ordinal1(A) => r1_tarski(k3_tarski(A), A)) ) ).
fof(t49_classes1, axiom,  (! [A] :  (! [B] :  ( (v1_ordinal1(A) & v1_ordinal1(B))  => v1_ordinal1(k2_xboole_0(A, B))) ) ) ).
fof(t50_classes1, axiom,  (! [A] :  (! [B] :  ( (v1_ordinal1(A) & v1_ordinal1(B))  => v1_ordinal1(k3_xboole_0(A, B))) ) ) ).
fof(d7_classes1, axiom,  (! [A] :  (! [B] :  (B=k5_classes1(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  (? [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  &  (? [E] :  (m1_subset_1(E, k4_ordinal1) &  (r2_hidden(C, k1_funct_1(D, E)) &  (k9_xtuple_0(D)=k4_ordinal1 &  (k1_funct_1(D, k5_ordinal1)=A &  (! [F] :  (v7_ordinal1(F) => k1_funct_1(D, k1_ordinal1(F))=k3_tarski(k1_funct_1(D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_classes1, axiom,  (! [A] : v1_ordinal1(k5_classes1(A))) ).
fof(t52_classes1, axiom,  (! [A] : r1_tarski(A, k5_classes1(A))) ).
fof(t53_classes1, axiom,  (! [A] :  (! [B] :  ( (r1_tarski(A, B) & v1_ordinal1(B))  => r1_tarski(k5_classes1(A), B)) ) ) ).
fof(t54_classes1, axiom,  (! [A] :  (! [B] :  ( ( (! [C] :  ( (r1_tarski(A, C) & v1_ordinal1(C))  => r1_tarski(B, C)) )  &  (r1_tarski(A, B) & v1_ordinal1(B)) )  => k5_classes1(A)=B) ) ) ).
fof(t55_classes1, axiom,  (! [A] :  (v1_ordinal1(A) => k5_classes1(A)=A) ) ).
fof(t56_classes1, axiom, k5_classes1(k1_xboole_0)=k1_xboole_0).
fof(t57_classes1, axiom,  (! [A] :  (v3_ordinal1(A) => k5_classes1(A)=A) ) ).
fof(t58_classes1, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) => r1_tarski(k5_classes1(A), k5_classes1(B))) ) ) ).
fof(t59_classes1, axiom,  (! [A] : k5_classes1(k5_classes1(A))=k5_classes1(A)) ).
fof(t60_classes1, axiom,  (! [A] :  (! [B] : k5_classes1(k2_xboole_0(A, B))=k2_xboole_0(k5_classes1(A), k5_classes1(B))) ) ).
fof(t61_classes1, axiom,  (! [A] :  (! [B] : r1_tarski(k5_classes1(k3_xboole_0(A, B)), k3_xboole_0(k5_classes1(A), k5_classes1(B)))) ) ).
fof(t62_classes1, axiom,  (! [A] :  (? [B] :  (v3_ordinal1(B) & r1_tarski(A, k4_classes1(B))) ) ) ).
fof(d8_classes1, axiom,  (! [A] :  (! [B] :  (v3_ordinal1(B) =>  (B=k6_classes1(A) <=>  (r2_hidden(A, k4_classes1(k1_ordinal1(B))) &  (! [C] :  (v3_ordinal1(C) =>  (r2_hidden(A, k4_classes1(k1_ordinal1(C))) => r1_ordinal1(B, C)) ) ) ) ) ) ) ) ).
fof(d9_classes1, axiom,  (! [A] :  (! [B] :  (v3_ordinal1(B) =>  (B=k6_classes1(A) <=>  (r1_tarski(A, k4_classes1(B)) &  (! [C] :  (v3_ordinal1(C) =>  (r1_tarski(A, k4_classes1(C)) => r1_ordinal1(B, C)) ) ) ) ) ) ) ) ).
fof(t63_classes1, axiom,  (! [A] : k6_classes1(k9_setfam_1(A))=k1_ordinal1(k6_classes1(A))) ).
fof(t64_classes1, axiom,  (! [A] :  (v3_ordinal1(A) => k6_classes1(k4_classes1(A))=A) ) ).
fof(t65_classes1, axiom,  (! [A] :  (! [B] :  (v3_ordinal1(B) =>  (r1_tarski(A, k4_classes1(B)) <=> r1_ordinal1(k6_classes1(A), B)) ) ) ) ).
fof(t66_classes1, axiom,  (! [A] :  (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(A, k4_classes1(B)) <=> r2_tarski(k6_classes1(A), B)) ) ) ) ).
fof(t67_classes1, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) => r1_ordinal1(k6_classes1(A), k6_classes1(B))) ) ) ).
fof(t68_classes1, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => r2_tarski(k6_classes1(A), k6_classes1(B))) ) ) ).
fof(t69_classes1, axiom,  (! [A] :  (! [B] :  (v3_ordinal1(B) =>  (r1_ordinal1(k6_classes1(A), B) <=>  (! [C] :  (r2_tarski(C, A) => r2_tarski(k6_classes1(C), B)) ) ) ) ) ) ).
fof(t70_classes1, axiom,  (! [A] :  (! [B] :  (v3_ordinal1(B) =>  (r1_ordinal1(B, k6_classes1(A)) <=>  (! [C] :  (v3_ordinal1(C) =>  ~ ( (r2_tarski(C, B) &  (! [D] :  ~ ( (r2_tarski(D, A) & r1_ordinal1(C, k6_classes1(D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_classes1, axiom,  (! [A] :  (k6_classes1(A)=k1_xboole_0 <=> A=k1_xboole_0) ) ).
fof(t72_classes1, axiom,  (! [A] :  (! [B] :  (v3_ordinal1(B) =>  ~ ( (k6_classes1(A)=k1_ordinal1(B) &  (! [C] :  ~ ( (r2_tarski(C, A) & k6_classes1(C)=B) ) ) ) ) ) ) ) ).
fof(t73_classes1, axiom,  (! [A] :  (v3_ordinal1(A) => k6_classes1(A)=A) ) ).
fof(t74_classes1, axiom,  (! [A] :  ( ~ (k6_classes1(k1_classes1(A))=k1_xboole_0)  & v4_ordinal1(k6_classes1(k1_classes1(A)))) ) ).
fof(d10_classes1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (r2_classes1(A, B) <=>  (! [C] : k1_card_1(k10_relat_1(A, C))=k1_card_1(k10_relat_1(B, C))) ) ) ) ) ) ).
fof(t75_classes1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_classes1(A, B) => k10_xtuple_0(A)=k10_xtuple_0(B)) ) ) ) ) ).
fof(t76_classes1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r2_classes1(A, B) & r2_classes1(A, C))  => r2_classes1(B, C)) ) ) ) ) ) ) ).
fof(t77_classes1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_classes1(A, B) <=>  (? [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  &  (k9_xtuple_0(C)=k9_xtuple_0(A) &  (k10_xtuple_0(C)=k9_xtuple_0(B) &  (v2_funct_1(C) & A=k3_relat_1(C, B)) ) ) ) ) ) ) ) ) ) ).
fof(t78_classes1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_classes1(A, B) <=>  (! [C] : k1_card_1(k8_relat_1(A, C))=k1_card_1(k8_relat_1(B, C))) ) ) ) ) ) ).
fof(t79_classes1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r1_tarski(k10_xtuple_0(B), A) &  (r1_tarski(k10_xtuple_0(C), A) &  (! [D] :  (m1_subset_1(D, A) => k1_card_1(k10_relat_1(B, D))=k1_card_1(k10_relat_1(C, D))) ) ) )  => r2_classes1(B, C)) ) ) ) ) ) ) ).
fof(t80_classes1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (k9_xtuple_0(A)=k9_xtuple_0(B) =>  (r2_classes1(A, B) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k9_xtuple_0(A), k9_xtuple_0(A)) &  (v3_funct_2(C, k9_xtuple_0(A), k9_xtuple_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_xtuple_0(A), k9_xtuple_0(A))))) ) )  & A=k3_relat_1(C, B)) ) ) ) ) ) ) ) ).
fof(t81_classes1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_classes1(A, B) => k1_card_1(k9_xtuple_0(A))=k1_card_1(k9_xtuple_0(B))) ) ) ) ) ).
fof(t82_classes1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (r2_tarski(C, k10_xtuple_0(B)) => r2_tarski(k6_classes1(C), k6_classes1(k4_tarski(B, A)))) ) ) ) ) ).
fof(t83_classes1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (k9_xtuple_0(A)=k9_xtuple_0(B) &  (r1_tarski(k10_xtuple_0(A), k9_xtuple_0(C)) &  (r1_tarski(k10_xtuple_0(B), k9_xtuple_0(C)) & r2_classes1(A, B)) ) )  => r2_classes1(k3_relat_1(A, C), k3_relat_1(B, C))) ) ) ) ) ) ) ).
fof(t84_classes1, axiom,  (! [A] :  (! [B] :  (r2_tarski(k6_classes1(A), k6_classes1(k4_tarski(A, B))) & r2_tarski(k6_classes1(B), k6_classes1(k4_tarski(A, B)))) ) ) ).
fof(s1_classes1, axiom,  ( (! [A] :  ~ ( (r2_hidden(A, f1_s1_classes1) &  (! [B] :  ~ (p1_s1_classes1(A, B)) ) ) ) )  =>  (? [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  &  (k9_xtuple_0(A)=f1_s1_classes1 &  (! [B] :  (r2_hidden(B, f1_s1_classes1) => p1_s1_classes1(B, k1_funct_1(A, B))) ) ) ) ) ) ).
fof(s2_classes1, axiom,  (? [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  &  (k9_xtuple_0(A)=f1_s2_classes1 &  (! [B] :  (m1_subset_1(B, f2_s2_classes1) =>  (r2_tarski(B, f1_s2_classes1) => k1_funct_1(A, B)=f3_s2_classes1(B)) ) ) ) ) ) ).
fof(dt_k3_classes1, axiom,  (! [A, B] :  (v3_ordinal1(B) => m1_subset_1(k3_classes1(A, B), k1_zfmisc_1(k1_classes1(A)))) ) ).
fof(redefinition_k3_classes1, axiom,  (! [A, B] :  (v3_ordinal1(B) => k3_classes1(A, B)=k2_classes1(A, B)) ) ).
fof(dt_k6_classes1, axiom,  (! [A] : v3_ordinal1(k6_classes1(A))) ).
fof(symmetry_r2_classes1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_relat_1(B))  =>  (r2_classes1(A, B) => r2_classes1(B, A)) ) ) ).
fof(reflexivity_r2_classes1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_relat_1(B))  => r2_classes1(A, A)) ) ).
fof(d5_classes1, axiom,  (! [A] :  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (C=k2_classes1(A, B) <=>  (? [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v5_ordinal1(D)) )  &  (C=k1_ordinal2(D) &  (k9_xtuple_0(D)=k1_ordinal1(B) &  (k1_funct_1(D, k5_ordinal1)=k1_tarski(A) &  ( (! [E] :  (v3_ordinal1(E) =>  (r2_tarski(k1_ordinal1(E), k1_ordinal1(B)) => k1_funct_1(D, k1_ordinal1(E))=k2_xboole_0(k2_xboole_0(a_3_0_classes1(A, D, E), a_3_1_classes1(A, D, E)), k8_subset_1(k1_zfmisc_1(k1_funct_1(D, E)), k9_setfam_1(k1_funct_1(D, E)), k1_classes1(A)))) ) )  &  (! [E] :  (v3_ordinal1(E) =>  ( (r2_tarski(E, k1_ordinal1(B)) & v4_ordinal1(E))  =>  (E=k5_ordinal1 | k1_funct_1(D, E)=k3_xboole_0(k3_tarski(k10_xtuple_0(k5_relat_1(D, E))), k1_classes1(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_classes1, axiom,  (! [A] :  (! [B] :  (v3_ordinal1(B) => k3_classes1(A, k1_ordinal1(B))=k2_xboole_0(k2_xboole_0(a_2_0_classes1(A, B), a_2_1_classes1(A, B)), k8_subset_1(k1_zfmisc_1(k3_classes1(A, B)), k9_setfam_1(k3_classes1(A, B)), k1_classes1(A)))) ) ) ).
fof(t9_classes1, axiom,  (! [A] :  (! [B] :  (v3_ordinal1(B) =>  (v4_ordinal1(B) =>  (B=k1_xboole_0 | k3_classes1(A, B)=a_2_2_classes1(A, B)) ) ) ) ) ).
fof(fraenkel_a_3_0_classes1, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(C) &  (v1_funct_1(C) & v5_ordinal1(C)) )  & v3_ordinal1(D))  =>  (r2_hidden(A, a_3_0_classes1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_classes1(B)) &  (A=E &  (? [F] :  (m1_subset_1(F, k1_classes1(B)) &  (r2_tarski(F, k1_funct_1(C, D)) & r1_tarski(E, F)) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_classes1, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(C) &  (v1_funct_1(C) & v5_ordinal1(C)) )  & v3_ordinal1(D))  =>  (r2_hidden(A, a_3_1_classes1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_classes1(B)) &  (A=k9_setfam_1(E) & r2_tarski(E, k1_funct_1(C, D))) ) ) ) ) ) ).
fof(fraenkel_a_2_0_classes1, axiom,  (! [A, B, C] :  (v3_ordinal1(C) =>  (r2_hidden(A, a_2_0_classes1(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_classes1(B)) &  (A=D &  (? [E] :  (m1_subset_1(E, k1_classes1(B)) &  (r2_tarski(E, k3_classes1(B, C)) & r1_tarski(D, E)) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_classes1, axiom,  (! [A, B, C] :  (v3_ordinal1(C) =>  (r2_hidden(A, a_2_1_classes1(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_classes1(B)) &  (A=k9_setfam_1(D) & r2_tarski(D, k3_classes1(B, C))) ) ) ) ) ) ).
fof(fraenkel_a_2_2_classes1, axiom,  (! [A, B, C] :  (v3_ordinal1(C) =>  (r2_hidden(A, a_2_2_classes1(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_classes1(B)) &  (A=D &  (? [E] :  (v3_ordinal1(E) &  (r2_tarski(E, C) & r2_tarski(D, k3_classes1(B, E))) ) ) ) ) ) ) ) ) ).
fof(cc1_classes2, axiom,  (! [A] :  (v2_classes1(A) => v1_classes1(A)) ) ).
fof(fc1_classes2, axiom,  (! [A] : v2_classes1(k1_classes1(A))) ).
fof(cc2_classes2, axiom,  (! [A] :  (v1_classes2(A) =>  (v1_ordinal1(A) & v2_classes1(A)) ) ) ).
fof(cc3_classes2, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_classes1(A))  => v1_classes2(A)) ) ).
fof(rc1_classes2, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_classes2(A)) ) ).
fof(fc2_classes2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  => v3_ordinal1(k2_ordinal1(A))) ) ).
fof(fc3_classes2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  => v1_classes2(k1_classes1(A))) ) ).
fof(fc4_classes2, axiom,  (! [A] :  (v3_ordinal1(A) => v1_classes2(k1_classes1(A))) ) ).
fof(rc2_classes2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (? [B] :  (m1_subset_1(B, A) &  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(fc5_classes2, axiom,  (! [A] : v1_ordinal1(k5_classes1(A))) ).
fof(fc6_classes2, axiom,  (! [A] :  (v1_ordinal1(A) => v1_ordinal1(k1_classes1(A))) ) ).
fof(fc7_classes2, axiom,  (! [A] :  (v3_ordinal1(A) =>  ( ~ (v1_xboole_0(k16_classes2(A)))  & v1_classes2(k16_classes2(A))) ) ) ).
fof(t1_classes2, axiom,  (! [A] :  (! [B] :  ( (v1_classes1(B) & r2_tarski(A, B))  =>  ( ~ (r3_tarski(A, B))  & r2_tarski(k1_card_1(A), k1_card_1(B))) ) ) ) ).
fof(t2_classes2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v2_classes1(C) &  (r2_tarski(A, C) & r2_tarski(B, C)) )  =>  (r2_tarski(k1_tarski(A), C) & r2_tarski(k2_tarski(A, B), C)) ) ) ) ) ).
fof(t3_classes2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v2_classes1(C) &  (r2_tarski(A, C) & r2_tarski(B, C)) )  => r2_hidden(k4_tarski(A, B), C)) ) ) ) ).
fof(t4_classes2, axiom,  (! [A] :  (! [B] :  ( (v2_classes1(B) & r2_tarski(A, B))  => r1_tarski(k1_classes1(A), B)) ) ) ).
fof(t5_classes2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v2_classes1(B) & r2_tarski(A, B))  =>  (r2_tarski(k1_ordinal1(A), B) & r1_tarski(A, B)) ) ) ) ) ).
fof(t6_classes2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (r2_tarski(A, k1_classes1(B)) =>  (r2_tarski(k1_ordinal1(A), k1_classes1(B)) & r1_tarski(A, k1_classes1(B))) ) ) ) ) ).
fof(t7_classes2, axiom,  (! [A] :  (! [B] :  ( (v1_classes1(B) &  (v1_ordinal1(A) & r2_tarski(A, B)) )  => r1_tarski(A, B)) ) ) ).
fof(t8_classes2, axiom,  (! [A] :  (! [B] :  ( (v1_ordinal1(A) & r2_tarski(A, k1_classes1(B)))  => r1_tarski(A, k1_classes1(B))) ) ) ).
fof(t9_classes2, axiom,  (! [A] :  (v2_classes1(A) => k2_ordinal1(A)=k1_card_1(A)) ) ).
fof(t10_classes2, axiom,  (! [A] : k2_ordinal1(k1_classes1(A))=k1_card_1(k1_classes1(A))) ).
fof(t11_classes2, axiom,  (! [A] :  (! [B] :  ( (v2_classes1(B) & r2_tarski(A, B))  => r2_tarski(k1_card_1(A), B)) ) ) ).
fof(t12_classes2, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, k1_classes1(B)) => r2_tarski(k1_card_1(A), k1_classes1(B))) ) ) ).
fof(t13_classes2, axiom,  (! [A] :  (! [B] :  ( (v2_classes1(B) & r2_tarski(A, k1_card_1(B)))  => r2_tarski(A, B)) ) ) ).
fof(t14_classes2, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, k1_card_1(k1_classes1(B))) => r2_tarski(A, k1_classes1(B))) ) ) ).
fof(t15_classes2, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  ( (v2_classes1(B) & r2_tarski(A, k1_card_1(B)))  => r2_tarski(A, B)) ) ) ) ).
fof(t16_classes2, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (r2_tarski(A, k1_card_1(k1_classes1(B))) => r2_tarski(A, k1_classes1(B))) ) ) ) ).
fof(t17_classes2, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  ( (v2_classes1(B) & r2_tarski(A, B))  => r1_tarski(A, B)) ) ) ) ).
fof(t18_classes2, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  (r2_tarski(A, k1_classes1(B)) => r1_tarski(A, k1_classes1(B))) ) ) ) ).
fof(t19_classes2, axiom,  (! [A] :  (v2_classes1(A) => v4_ordinal1(k1_card_1(A))) ) ).
fof(t20_classes2, axiom,  (! [A] :  (v2_classes1(A) =>  (A=k1_xboole_0 |  ( ~ (k1_card_1(A)=k5_numbers)  &  ( ~ (k1_card_1(A)=k1_xboole_0)  & v4_ordinal1(k1_card_1(A))) ) ) ) ) ).
fof(t21_classes2, axiom,  (! [A] :  ( ~ (k1_card_1(k1_classes1(A))=k5_numbers)  &  ( ~ (k1_card_1(k1_classes1(A))=k1_xboole_0)  & v4_ordinal1(k1_card_1(k1_classes1(A)))) ) ) ).
fof(t22_classes2, axiom,  (! [A] :  (! [B] :  (v2_classes1(B) =>  ( ( ~ ( (r2_tarski(A, B) & v1_ordinal1(B)) )  &  ( ~ ( (r2_tarski(A, B) & r1_tarski(A, B)) )  &  ~ ( (r2_tarski(k1_card_1(A), k1_card_1(B)) & r1_tarski(A, B)) ) ) )  | r1_tarski(k1_funct_2(A, B), B)) ) ) ) ).
fof(t23_classes2, axiom,  (! [A] :  (! [B] :  ( ~ ( ( ~ ( (r2_tarski(A, k1_classes1(B)) & v1_ordinal1(B)) )  &  ( ~ ( (r2_tarski(A, k1_classes1(B)) & r1_tarski(A, k1_classes1(B))) )  &  ~ ( (r2_tarski(k1_card_1(A), k1_card_1(k1_classes1(B))) & r1_tarski(A, k1_classes1(B))) ) ) ) )  => r1_tarski(k9_funct_2(A, k1_classes1(B)), k1_classes1(B))) ) ) ).
fof(t24_classes2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) )  =>  ( (v4_ordinal1(k9_xtuple_0(A)) &  (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(B, k9_xtuple_0(A)) => k1_funct_1(A, B)=k4_classes1(B)) ) ) )  => k4_classes1(k9_xtuple_0(A))=k3_card_3(A)) ) ) ).
fof(t25_classes2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v2_classes1(B) & r2_tarski(A, k2_ordinal1(B)))  =>  (r2_tarski(k1_card_1(k4_classes1(A)), k1_card_1(B)) & r2_tarski(k4_classes1(A), B)) ) ) ) ) ).
fof(t26_classes2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (r2_tarski(A, k2_ordinal1(k1_classes1(B))) =>  (r2_tarski(k1_card_1(k4_classes1(A)), k1_card_1(k1_classes1(B))) & r2_tarski(k4_classes1(A), k1_classes1(B))) ) ) ) ) ).
fof(t27_classes2, axiom,  (! [A] :  (v2_classes1(A) => r1_tarski(k4_classes1(k1_card_1(A)), A)) ) ).
fof(t28_classes2, axiom,  (! [A] : r1_tarski(k4_classes1(k1_card_1(k1_classes1(A))), k1_classes1(A))) ).
fof(t29_classes2, axiom,  (! [A] :  (! [B] :  ( (v2_classes1(B) &  (v1_ordinal1(B) & r2_tarski(A, B)) )  => r2_tarski(k6_classes1(A), B)) ) ) ).
fof(t30_classes2, axiom,  (! [A] :  ( (v2_classes1(A) & v1_ordinal1(A))  => r1_tarski(A, k4_classes1(k1_card_1(A)))) ) ).
fof(t31_classes2, axiom,  (! [A] :  ( (v2_classes1(A) & v1_ordinal1(A))  => k4_classes1(k1_card_1(A))=A) ) ).
fof(t32_classes2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v2_classes1(B) & r2_tarski(A, k2_ordinal1(B)))  => r1_ordinal1(k1_card_1(k4_classes1(A)), k1_card_1(B))) ) ) ) ).
fof(t33_classes2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (r2_tarski(A, k2_ordinal1(k1_classes1(B))) => r1_ordinal1(k1_card_1(k4_classes1(A)), k1_card_1(k1_classes1(B)))) ) ) ) ).
fof(t34_classes2, axiom,  (! [A] :  (v2_classes1(A) => k1_card_1(A)=k1_card_1(k4_classes1(k1_card_1(A)))) ) ).
fof(t35_classes2, axiom,  (! [A] : k1_card_1(k1_classes1(A))=k1_card_1(k4_classes1(k1_card_1(k1_classes1(A))))) ).
fof(t36_classes2, axiom,  (! [A] :  (! [B] :  ~ ( (v2_classes1(B) &  (r1_tarski(A, k4_classes1(k1_card_1(B))) &  ( ~ (r3_tarski(A, k4_classes1(k1_card_1(B))))  &  ~ (r2_tarski(A, k4_classes1(k1_card_1(B)))) ) ) ) ) ) ) ).
fof(t37_classes2, axiom,  (! [A] :  (! [B] :  ~ ( (r1_tarski(A, k4_classes1(k1_card_1(k1_classes1(B)))) &  ( ~ (r3_tarski(A, k4_classes1(k1_card_1(k1_classes1(B)))))  &  ~ (r2_tarski(A, k4_classes1(k1_card_1(k1_classes1(B))))) ) ) ) ) ) ).
fof(t38_classes2, axiom,  (! [A] :  (v2_classes1(A) => v2_classes1(k4_classes1(k1_card_1(A)))) ) ).
fof(t39_classes2, axiom,  (! [A] : v2_classes1(k4_classes1(k1_card_1(k1_classes1(A))))) ).
fof(t40_classes2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ~ ( (v1_ordinal1(B) &  (r2_tarski(A, k6_classes1(B)) &  (! [C] :  ~ ( (r2_tarski(C, B) & k6_classes1(C)=A) ) ) ) ) ) ) ) ) ).
fof(t41_classes2, axiom,  (! [A] :  (v1_ordinal1(A) => r1_ordinal1(k1_card_1(k6_classes1(A)), k1_card_1(A))) ) ).
fof(t42_classes2, axiom,  (! [A] :  (! [B] :  ( (v2_classes1(B) &  (v1_ordinal1(A) & r2_tarski(A, B)) )  => r2_tarski(A, k4_classes1(k1_card_1(B)))) ) ) ).
fof(t43_classes2, axiom,  (! [A] :  (! [B] :  ( (v1_ordinal1(A) & r2_tarski(A, k1_classes1(B)))  => r2_tarski(A, k4_classes1(k1_card_1(k1_classes1(B))))) ) ) ).
fof(t44_classes2, axiom,  (! [A] :  (v1_ordinal1(A) => r1_classes1(A, k4_classes1(k1_card_1(k1_classes1(A))))) ) ).
fof(t45_classes2, axiom,  (! [A] :  (v1_ordinal1(A) => k4_classes1(k1_card_1(k1_classes1(A)))=k1_classes1(A)) ) ).
fof(d1_classes2, axiom,  (! [A] :  (v1_classes2(A) <=>  (v1_ordinal1(A) & v2_classes1(A)) ) ) ).
fof(t46_classes2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  => v3_ordinal1(k2_ordinal1(A))) ) ).
fof(t47_classes2, axiom,  (! [A] :  (v1_ordinal1(A) => v1_classes2(k1_classes1(A))) ) ).
fof(t48_classes2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  ( ~ (v1_xboole_0(k1_classes1(A)))  & v1_classes2(k1_classes1(A))) ) ) ).
fof(t49_classes2, axiom,  (! [A] :  (v3_ordinal1(A) => v1_classes2(k1_classes1(A))) ) ).
fof(t50_classes2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  => A=k4_classes1(k2_ordinal1(A))) ) ).
fof(t51_classes2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  ( ~ (k2_ordinal1(A)=k1_xboole_0)  & v4_ordinal1(k2_ordinal1(A))) ) ) ).
fof(t52_classes2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_classes2(B))  =>  ~ ( ( ~ (r2_tarski(A, B))  &  ( ~ (A=B)  &  ~ (r2_tarski(B, A)) ) ) ) ) ) ) ) ).
fof(t53_classes2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_classes2(B))  =>  (r1_tarski(A, B) | r2_tarski(B, A)) ) ) ) ) ).
fof(t54_classes2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_classes2(B))  => r3_xboole_0(A, B)) ) ) ) ).
fof(t55_classes2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_classes2(B))  =>  ( ( ~ (v1_xboole_0(k2_xboole_0(A, B)))  & v1_classes2(k2_xboole_0(A, B)))  &  ( ~ (v1_xboole_0(k3_xboole_0(A, B)))  & v1_classes2(k3_xboole_0(A, B))) ) ) ) ) ) ).
fof(t56_classes2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  => r2_tarski(k1_xboole_0, A)) ) ).
fof(t57_classes2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_classes2(B))  =>  (r2_tarski(A, B) => r2_tarski(k1_tarski(A), B)) ) ) ) ).
fof(t58_classes2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v1_classes2(C))  =>  ( (r2_tarski(A, C) & r2_tarski(B, C))  =>  (r2_tarski(k2_tarski(A, B), C) & r2_hidden(k4_tarski(A, B), C)) ) ) ) ) ) ).
fof(t59_classes2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_classes2(B))  =>  (r2_tarski(A, B) =>  (r2_tarski(k9_setfam_1(A), B) &  (r2_tarski(k3_tarski(A), B) & r2_tarski(k1_setfam_1(A), B)) ) ) ) ) ) ).
fof(t60_classes2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v1_classes2(C))  =>  ( (r2_tarski(A, C) & r2_tarski(B, C))  =>  (r2_tarski(k2_xboole_0(A, B), C) &  (r2_tarski(k3_xboole_0(A, B), C) &  (r2_tarski(k6_subset_1(A, B), C) & r2_tarski(k5_xboole_0(A, B), C)) ) ) ) ) ) ) ) ).
fof(t61_classes2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v1_classes2(C))  =>  ( (r2_tarski(A, C) & r2_tarski(B, C))  =>  (r2_tarski(k2_zfmisc_1(A, B), C) & r2_tarski(k1_funct_2(A, B), C)) ) ) ) ) ) ).
fof(d2_classes2, axiom, k13_classes2=k1_classes1(k1_xboole_0)).
fof(t62_classes2, axiom, k1_card_1(k4_classes1(k4_ordinal1))=k1_card_1(k4_ordinal1)).
fof(t63_classes2, axiom, v2_classes1(k4_classes1(k4_ordinal1))).
fof(t64_classes2, axiom, k13_classes2=k4_classes1(k4_ordinal1)).
fof(d3_classes2, axiom, k14_classes2=k1_classes1(k13_classes2)).
fof(d4_classes2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_classes2(B))  =>  (B=k15_classes2(A) <=>  (r1_tarski(A, B) &  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v1_classes2(C))  =>  (r1_tarski(A, C) => r1_tarski(B, C)) ) ) ) ) ) ) ) ).
fof(d5_classes2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (B=k16_classes2(A) <=>  (? [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) & v1_funct_1(C)) )  &  (B=k1_ordinal2(C) &  (k9_xtuple_0(C)=k1_ordinal1(A) &  (k1_funct_1(C, k5_numbers)=k13_classes2 &  ( (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(k1_ordinal1(D), k1_ordinal1(A)) => k1_funct_1(C, k1_ordinal1(D))=k1_classes1(k1_funct_1(C, D))) ) )  &  (! [D] :  (v3_ordinal1(D) =>  ( (r2_tarski(D, k1_ordinal1(A)) & v4_ordinal1(D))  =>  (D=k5_numbers | k1_funct_1(C, D)=k15_classes2(k3_card_3(k5_relat_1(C, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_classes2, axiom, k16_classes2(k1_xboole_0)=k13_classes2).
fof(t66_classes2, axiom,  (! [A] :  (v3_ordinal1(A) => k16_classes2(k1_ordinal1(A))=k1_classes1(k16_classes2(A))) ) ).
fof(t67_classes2, axiom, k16_classes2(1)=k14_classes2).
fof(t68_classes2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) & v1_funct_1(B)) )  =>  ( (v4_ordinal1(A) &  (k9_xtuple_0(B)=A &  (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(C, A) => k1_funct_1(B, C)=k16_classes2(C)) ) ) ) )  =>  (A=k1_xboole_0 | k16_classes2(A)=k15_classes2(k3_card_3(B))) ) ) ) ) ) ).
fof(t69_classes2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (r1_tarski(k13_classes2, A) &  (r1_tarski(k1_classes1(k1_xboole_0), A) & r1_tarski(k16_classes2(k1_xboole_0), A)) ) ) ) ).
fof(t70_classes2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(A, B) <=> r2_tarski(k16_classes2(A), k16_classes2(B))) ) ) ) ) ).
fof(t71_classes2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (k16_classes2(A)=k16_classes2(B) => A=B) ) ) ) ) ).
fof(t72_classes2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (r1_ordinal1(A, B) <=> r1_tarski(k16_classes2(A), k16_classes2(B))) ) ) ) ) ).
fof(t73_classes2, axiom,  (! [A] :  (r2_tarski(k3_classes1(A, k1_xboole_0), k3_classes1(A, 1)) &  ~ (k3_classes1(A, k1_xboole_0)=k3_classes1(A, 1)) ) ) ).
fof(dt_k1_classes2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  & m1_subset_1(B, A))  => m1_subset_1(k1_classes2(A, B), A)) ) ).
fof(redefinition_k1_classes2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  & m1_subset_1(B, A))  => k1_classes2(A, B)=k1_tarski(B)) ) ).
fof(dt_k2_classes2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  & m1_subset_1(B, A))  => m1_subset_1(k2_classes2(A, B), A)) ) ).
fof(redefinition_k2_classes2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  & m1_subset_1(B, A))  => k2_classes2(A, B)=k1_zfmisc_1(B)) ) ).
fof(dt_k3_classes2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  & m1_subset_1(B, A))  => m1_subset_1(k3_classes2(A, B), A)) ) ).
fof(redefinition_k3_classes2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  & m1_subset_1(B, A))  => k3_classes2(A, B)=k3_tarski(B)) ) ).
fof(dt_k4_classes2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  & m1_subset_1(B, A))  => m1_subset_1(k4_classes2(A, B), A)) ) ).
fof(redefinition_k4_classes2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  & m1_subset_1(B, A))  => k4_classes2(A, B)=k1_setfam_1(B)) ) ).
fof(dt_k5_classes2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => m1_subset_1(k5_classes2(A, B, C), A)) ) ).
fof(commutativity_k5_classes2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k5_classes2(A, B, C)=k5_classes2(A, C, B)) ) ).
fof(redefinition_k5_classes2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k5_classes2(A, B, C)=k2_tarski(B, C)) ) ).
fof(dt_k6_classes2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => m1_subset_1(k6_classes2(A, B, C), A)) ) ).
fof(redefinition_k6_classes2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k6_classes2(A, B, C)=k4_tarski(B, C)) ) ).
fof(dt_k7_classes2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => m1_subset_1(k7_classes2(A, B, C), A)) ) ).
fof(commutativity_k7_classes2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k7_classes2(A, B, C)=k7_classes2(A, C, B)) ) ).
fof(idempotence_k7_classes2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k7_classes2(A, B, B)=B) ) ).
fof(redefinition_k7_classes2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k7_classes2(A, B, C)=k2_xboole_0(B, C)) ) ).
fof(dt_k8_classes2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => m1_subset_1(k8_classes2(A, B, C), A)) ) ).
fof(commutativity_k8_classes2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k8_classes2(A, B, C)=k8_classes2(A, C, B)) ) ).
fof(idempotence_k8_classes2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k8_classes2(A, B, B)=B) ) ).
fof(redefinition_k8_classes2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k8_classes2(A, B, C)=k3_xboole_0(B, C)) ) ).
fof(dt_k9_classes2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => m1_subset_1(k9_classes2(A, B, C), A)) ) ).
fof(redefinition_k9_classes2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k9_classes2(A, B, C)=k4_xboole_0(B, C)) ) ).
fof(dt_k10_classes2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => m1_subset_1(k10_classes2(A, B, C), A)) ) ).
fof(commutativity_k10_classes2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k10_classes2(A, B, C)=k10_classes2(A, C, B)) ) ).
fof(redefinition_k10_classes2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k10_classes2(A, B, C)=k5_xboole_0(B, C)) ) ).
fof(dt_k11_classes2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => m1_subset_1(k11_classes2(A, B, C), A)) ) ).
fof(redefinition_k11_classes2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k11_classes2(A, B, C)=k2_zfmisc_1(B, C)) ) ).
fof(dt_k12_classes2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => m1_subset_1(k12_classes2(A, B, C), A)) ) ).
fof(redefinition_k12_classes2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k12_classes2(A, B, C)=k1_funct_2(B, C)) ) ).
fof(dt_k13_classes2, axiom,  ( ~ (v1_xboole_0(k13_classes2))  & v1_classes2(k13_classes2)) ).
fof(dt_k14_classes2, axiom,  ( ~ (v1_xboole_0(k14_classes2))  & v1_classes2(k14_classes2)) ).
fof(dt_k15_classes2, axiom,  (! [A] :  ( ~ (v1_xboole_0(k15_classes2(A)))  & v1_classes2(k15_classes2(A))) ) ).
fof(fc1_clopban1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k3_clopban1(A, B)))  &  (v13_algstr_0(k3_clopban1(A, B)) &  (v2_rlvect_1(k3_clopban1(A, B)) &  (v3_rlvect_1(k3_clopban1(A, B)) &  (v4_rlvect_1(k3_clopban1(A, B)) &  (v1_clvect_1(k3_clopban1(A, B)) &  (v2_clvect_1(k3_clopban1(A, B)) &  (v3_clvect_1(k3_clopban1(A, B)) &  (v4_clvect_1(k3_clopban1(A, B)) & v5_clvect_1(k3_clopban1(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(fc2_clopban1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k3_clopban1(A, B)))  &  (v13_algstr_0(k3_clopban1(A, B)) &  (v2_rlvect_1(k3_clopban1(A, B)) &  (v3_rlvect_1(k3_clopban1(A, B)) &  (v4_rlvect_1(k3_clopban1(A, B)) &  (v1_monoid_0(k3_clopban1(A, B)) &  (v2_clvect_1(k3_clopban1(A, B)) &  (v3_clvect_1(k3_clopban1(A, B)) &  (v4_clvect_1(k3_clopban1(A, B)) & v5_clvect_1(k3_clopban1(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_clopban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) & v1_clopban1(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc3_clopban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k5_clopban1(A, B)))  & v4_funct_1(k5_clopban1(A, B))) ) ) ).
fof(fc4_clopban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) ) )  =>  (v13_algstr_0(g1_clvect_1(k5_clopban1(A, B), k8_csspace(k3_clopban1(u1_struct_0(A), B), k5_clopban1(A, B)), k6_csspace(k3_clopban1(u1_struct_0(A), B), k5_clopban1(A, B)), k7_csspace(k3_clopban1(u1_struct_0(A), B), k5_clopban1(A, B)))) &  (v2_rlvect_1(g1_clvect_1(k5_clopban1(A, B), k8_csspace(k3_clopban1(u1_struct_0(A), B), k5_clopban1(A, B)), k6_csspace(k3_clopban1(u1_struct_0(A), B), k5_clopban1(A, B)), k7_csspace(k3_clopban1(u1_struct_0(A), B), k5_clopban1(A, B)))) &  (v3_rlvect_1(g1_clvect_1(k5_clopban1(A, B), k8_csspace(k3_clopban1(u1_struct_0(A), B), k5_clopban1(A, B)), k6_csspace(k3_clopban1(u1_struct_0(A), B), k5_clopban1(A, B)), k7_csspace(k3_clopban1(u1_struct_0(A), B), k5_clopban1(A, B)))) &  (v4_rlvect_1(g1_clvect_1(k5_clopban1(A, B), k8_csspace(k3_clopban1(u1_struct_0(A), B), k5_clopban1(A, B)), k6_csspace(k3_clopban1(u1_struct_0(A), B), k5_clopban1(A, B)), k7_csspace(k3_clopban1(u1_struct_0(A), B), k5_clopban1(A, B)))) &  (v1_clvect_1(g1_clvect_1(k5_clopban1(A, B), k8_csspace(k3_clopban1(u1_struct_0(A), B), k5_clopban1(A, B)), k6_csspace(k3_clopban1(u1_struct_0(A), B), k5_clopban1(A, B)), k7_csspace(k3_clopban1(u1_struct_0(A), B), k5_clopban1(A, B)))) &  (v2_clvect_1(g1_clvect_1(k5_clopban1(A, B), k8_csspace(k3_clopban1(u1_struct_0(A), B), k5_clopban1(A, B)), k6_csspace(k3_clopban1(u1_struct_0(A), B), k5_clopban1(A, B)), k7_csspace(k3_clopban1(u1_struct_0(A), B), k5_clopban1(A, B)))) &  (v3_clvect_1(g1_clvect_1(k5_clopban1(A, B), k8_csspace(k3_clopban1(u1_struct_0(A), B), k5_clopban1(A, B)), k6_csspace(k3_clopban1(u1_struct_0(A), B), k5_clopban1(A, B)), k7_csspace(k3_clopban1(u1_struct_0(A), B), k5_clopban1(A, B)))) &  (v4_clvect_1(g1_clvect_1(k5_clopban1(A, B), k8_csspace(k3_clopban1(u1_struct_0(A), B), k5_clopban1(A, B)), k6_csspace(k3_clopban1(u1_struct_0(A), B), k5_clopban1(A, B)), k7_csspace(k3_clopban1(u1_struct_0(A), B), k5_clopban1(A, B)))) & v5_clvect_1(g1_clvect_1(k5_clopban1(A, B), k8_csspace(k3_clopban1(u1_struct_0(A), B), k5_clopban1(A, B)), k6_csspace(k3_clopban1(u1_struct_0(A), B), k5_clopban1(A, B)), k7_csspace(k3_clopban1(u1_struct_0(A), B), k5_clopban1(A, B))))) ) ) ) ) ) ) ) ) ) ).
fof(fc5_clopban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k6_clopban1(A, B)))  &  (v13_algstr_0(k6_clopban1(A, B)) &  (v2_rlvect_1(k6_clopban1(A, B)) &  (v3_rlvect_1(k6_clopban1(A, B)) &  (v4_rlvect_1(k6_clopban1(A, B)) &  (v1_clvect_1(k6_clopban1(A, B)) &  (v2_clvect_1(k6_clopban1(A, B)) &  (v3_clvect_1(k6_clopban1(A, B)) &  (v4_clvect_1(k6_clopban1(A, B)) & v5_clvect_1(k6_clopban1(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(fc6_clopban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k6_clopban1(A, B)))  &  (v13_algstr_0(k6_clopban1(A, B)) &  (v2_rlvect_1(k6_clopban1(A, B)) &  (v3_rlvect_1(k6_clopban1(A, B)) &  (v4_rlvect_1(k6_clopban1(A, B)) &  (v1_monoid_0(k6_clopban1(A, B)) &  (v2_clvect_1(k6_clopban1(A, B)) &  (v3_clvect_1(k6_clopban1(A, B)) &  (v4_clvect_1(k6_clopban1(A, B)) & v5_clvect_1(k6_clopban1(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_clopban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_clopban1(C, A, B) & v2_clopban1(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc7_clopban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  ~ (v1_xboole_0(k8_clopban1(A, B))) ) ) ).
fof(fc8_clopban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (v13_algstr_0(g1_clvect_1(k8_clopban1(A, B), k8_csspace(k6_clopban1(A, B), k8_clopban1(A, B)), k6_csspace(k6_clopban1(A, B), k8_clopban1(A, B)), k7_csspace(k6_clopban1(A, B), k8_clopban1(A, B)))) &  (v2_rlvect_1(g1_clvect_1(k8_clopban1(A, B), k8_csspace(k6_clopban1(A, B), k8_clopban1(A, B)), k6_csspace(k6_clopban1(A, B), k8_clopban1(A, B)), k7_csspace(k6_clopban1(A, B), k8_clopban1(A, B)))) &  (v3_rlvect_1(g1_clvect_1(k8_clopban1(A, B), k8_csspace(k6_clopban1(A, B), k8_clopban1(A, B)), k6_csspace(k6_clopban1(A, B), k8_clopban1(A, B)), k7_csspace(k6_clopban1(A, B), k8_clopban1(A, B)))) &  (v4_rlvect_1(g1_clvect_1(k8_clopban1(A, B), k8_csspace(k6_clopban1(A, B), k8_clopban1(A, B)), k6_csspace(k6_clopban1(A, B), k8_clopban1(A, B)), k7_csspace(k6_clopban1(A, B), k8_clopban1(A, B)))) &  (v1_clvect_1(g1_clvect_1(k8_clopban1(A, B), k8_csspace(k6_clopban1(A, B), k8_clopban1(A, B)), k6_csspace(k6_clopban1(A, B), k8_clopban1(A, B)), k7_csspace(k6_clopban1(A, B), k8_clopban1(A, B)))) &  (v2_clvect_1(g1_clvect_1(k8_clopban1(A, B), k8_csspace(k6_clopban1(A, B), k8_clopban1(A, B)), k6_csspace(k6_clopban1(A, B), k8_clopban1(A, B)), k7_csspace(k6_clopban1(A, B), k8_clopban1(A, B)))) &  (v3_clvect_1(g1_clvect_1(k8_clopban1(A, B), k8_csspace(k6_clopban1(A, B), k8_clopban1(A, B)), k6_csspace(k6_clopban1(A, B), k8_clopban1(A, B)), k7_csspace(k6_clopban1(A, B), k8_clopban1(A, B)))) &  (v4_clvect_1(g1_clvect_1(k8_clopban1(A, B), k8_csspace(k6_clopban1(A, B), k8_clopban1(A, B)), k6_csspace(k6_clopban1(A, B), k8_clopban1(A, B)), k7_csspace(k6_clopban1(A, B), k8_clopban1(A, B)))) & v5_clvect_1(g1_clvect_1(k8_clopban1(A, B), k8_csspace(k6_clopban1(A, B), k8_clopban1(A, B)), k6_csspace(k6_clopban1(A, B), k8_clopban1(A, B)), k7_csspace(k6_clopban1(A, B), k8_clopban1(A, B))))) ) ) ) ) ) ) ) ) ) ).
fof(fc9_clopban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k9_clopban1(A, B)))  &  (v13_algstr_0(k9_clopban1(A, B)) &  (v2_rlvect_1(k9_clopban1(A, B)) &  (v3_rlvect_1(k9_clopban1(A, B)) &  (v4_rlvect_1(k9_clopban1(A, B)) &  (v1_clvect_1(k9_clopban1(A, B)) &  (v2_clvect_1(k9_clopban1(A, B)) &  (v3_clvect_1(k9_clopban1(A, B)) &  (v4_clvect_1(k9_clopban1(A, B)) & v5_clvect_1(k9_clopban1(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_clopban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_clopban1(A, B))) =>  (v1_relat_1(C) & v1_funct_1(C)) ) ) ) ) ).
fof(cc2_clopban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_clopban1(A, B))) =>  (v1_relat_1(C) & v1_funct_1(C)) ) ) ) ) ).
fof(fc10_clopban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k14_clopban1(A, B)))  &  (v13_algstr_0(k14_clopban1(A, B)) &  (v2_rlvect_1(k14_clopban1(A, B)) &  (v3_rlvect_1(k14_clopban1(A, B)) &  (v4_rlvect_1(k14_clopban1(A, B)) &  (v3_normsp_0(k14_clopban1(A, B)) &  (v4_normsp_0(k14_clopban1(A, B)) &  (v2_clvect_1(k14_clopban1(A, B)) &  (v3_clvect_1(k14_clopban1(A, B)) &  (v4_clvect_1(k14_clopban1(A, B)) &  (v5_clvect_1(k14_clopban1(A, B)) & v8_clvect_1(k14_clopban1(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_clopban1, axiom,  (? [A] :  (l2_clvect_1(A) &  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & v3_clopban1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc11_clopban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) &  (v3_clopban1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k14_clopban1(A, B)))  & v3_clopban1(k14_clopban1(A, B))) ) ) ).
fof(d1_clopban1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k2_numbers, k9_funct_2(A, u1_struct_0(B))), k9_funct_2(A, u1_struct_0(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, k9_funct_2(A, u1_struct_0(B))), k9_funct_2(A, u1_struct_0(B)))))) )  =>  (C=k2_clopban1(A, B) <=>  (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  (m2_funct_2(E, A, u1_struct_0(B), k9_funct_2(A, u1_struct_0(B))) =>  (! [F] :  (m1_subset_1(F, A) => k1_funct_1(k1_funct_1(C, k4_tarski(D, E)), F)=k1_clvect_1(B, k3_funct_2(A, u1_struct_0(B), E, F), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_clopban1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, A) => k3_funct_2(A, u1_struct_0(B), k4_lopban_1(A, B), C)=k4_struct_0(B)) ) ) ) ) ) ).
fof(t2_clopban1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_funct_2(C, A, u1_struct_0(B), k9_funct_2(A, u1_struct_0(B))) =>  (! [D] :  (m2_funct_2(D, A, u1_struct_0(B), k9_funct_2(A, u1_struct_0(B))) =>  (! [E] :  (v1_xcmplx_0(E) =>  (D=k1_funct_1(k2_clopban1(A, B), k4_tarski(E, C)) <=>  (! [F] :  (m1_subset_1(F, A) => k3_funct_2(A, u1_struct_0(B), D, F)=k1_clvect_1(B, k3_funct_2(A, u1_struct_0(B), C, F), E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_clopban1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_funct_2(C, A, u1_struct_0(B), k9_funct_2(A, u1_struct_0(B))) =>  (! [D] :  (m2_funct_2(D, A, u1_struct_0(B), k9_funct_2(A, u1_struct_0(B))) => r2_funct_2(A, u1_struct_0(B), k1_funcsdom(A, u1_struct_0(B), k2_lopban_1(A, B), C, D), k1_funcsdom(A, u1_struct_0(B), k2_lopban_1(A, B), D, C))) ) ) ) ) ) ) ) ).
fof(t4_clopban1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_funct_2(C, A, u1_struct_0(B), k9_funct_2(A, u1_struct_0(B))) =>  (! [D] :  (m2_funct_2(D, A, u1_struct_0(B), k9_funct_2(A, u1_struct_0(B))) =>  (! [E] :  (m2_funct_2(E, A, u1_struct_0(B), k9_funct_2(A, u1_struct_0(B))) => r2_funct_2(A, u1_struct_0(B), k1_funcsdom(A, u1_struct_0(B), k2_lopban_1(A, B), C, k1_funcsdom(A, u1_struct_0(B), k2_lopban_1(A, B), D, E)), k1_funcsdom(A, u1_struct_0(B), k2_lopban_1(A, B), k1_funcsdom(A, u1_struct_0(B), k2_lopban_1(A, B), C, D), E))) ) ) ) ) ) ) ) ) ) ).
fof(t5_clopban1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_funct_2(C, A, u1_struct_0(B), k9_funct_2(A, u1_struct_0(B))) => r2_funct_2(A, u1_struct_0(B), k1_funcsdom(A, u1_struct_0(B), k2_lopban_1(A, B), k4_lopban_1(A, B), C), C)) ) ) ) ) ) ).
fof(t6_clopban1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_funct_2(C, A, u1_struct_0(B), k9_funct_2(A, u1_struct_0(B))) => k1_binop_1(k2_lopban_1(A, B), C, k1_funct_1(k2_clopban1(A, B), k4_tarski(k4_xcmplx_0(k6_complex1), C)))=k4_lopban_1(A, B)) ) ) ) ) ) ).
fof(t7_clopban1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_funct_2(C, A, u1_struct_0(B), k9_funct_2(A, u1_struct_0(B))) => r2_funct_2(A, u1_struct_0(B), k2_funcsdom(A, u1_struct_0(B), k2_numbers, k9_funct_2(A, u1_struct_0(B)), k2_clopban1(A, B), k1_domain_1(k2_numbers, k9_funct_2(A, u1_struct_0(B)), k6_complex1, C)), C)) ) ) ) ) ) ).
fof(t8_clopban1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_funct_2(C, A, u1_struct_0(B), k9_funct_2(A, u1_struct_0(B))) =>  (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  (v1_xcmplx_0(E) => k1_funct_1(k2_clopban1(A, B), k4_tarski(D, k1_funct_1(k2_clopban1(A, B), k4_tarski(E, C))))=k1_funct_1(k2_clopban1(A, B), k4_tarski(k3_xcmplx_0(D, E), C))) ) ) ) ) ) ) ) ) ) ).
fof(t9_clopban1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_funct_2(C, A, u1_struct_0(B), k9_funct_2(A, u1_struct_0(B))) =>  (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  (v1_xcmplx_0(E) => k1_binop_1(k2_lopban_1(A, B), k1_funct_1(k2_clopban1(A, B), k4_tarski(D, C)), k1_funct_1(k2_clopban1(A, B), k4_tarski(E, C)))=k1_funct_1(k2_clopban1(A, B), k4_tarski(k2_xcmplx_0(D, E), C))) ) ) ) ) ) ) ) ) ) ).
fof(t10_clopban1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(g1_clvect_1(k9_funct_2(A, u1_struct_0(B)), k4_lopban_1(A, B), k2_lopban_1(A, B), k2_clopban1(A, B))))  &  (v13_algstr_0(g1_clvect_1(k9_funct_2(A, u1_struct_0(B)), k4_lopban_1(A, B), k2_lopban_1(A, B), k2_clopban1(A, B))) &  (v2_rlvect_1(g1_clvect_1(k9_funct_2(A, u1_struct_0(B)), k4_lopban_1(A, B), k2_lopban_1(A, B), k2_clopban1(A, B))) &  (v3_rlvect_1(g1_clvect_1(k9_funct_2(A, u1_struct_0(B)), k4_lopban_1(A, B), k2_lopban_1(A, B), k2_clopban1(A, B))) &  (v4_rlvect_1(g1_clvect_1(k9_funct_2(A, u1_struct_0(B)), k4_lopban_1(A, B), k2_lopban_1(A, B), k2_clopban1(A, B))) &  (v2_clvect_1(g1_clvect_1(k9_funct_2(A, u1_struct_0(B)), k4_lopban_1(A, B), k2_lopban_1(A, B), k2_clopban1(A, B))) &  (v3_clvect_1(g1_clvect_1(k9_funct_2(A, u1_struct_0(B)), k4_lopban_1(A, B), k2_lopban_1(A, B), k2_clopban1(A, B))) &  (v4_clvect_1(g1_clvect_1(k9_funct_2(A, u1_struct_0(B)), k4_lopban_1(A, B), k2_lopban_1(A, B), k2_clopban1(A, B))) &  (v5_clvect_1(g1_clvect_1(k9_funct_2(A, u1_struct_0(B)), k4_lopban_1(A, B), k2_lopban_1(A, B), k2_clopban1(A, B))) & l1_clvect_1(g1_clvect_1(k9_funct_2(A, u1_struct_0(B)), k4_lopban_1(A, B), k2_lopban_1(A, B), k2_clopban1(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_clopban1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) )  => k3_clopban1(A, B)=g1_clvect_1(k9_funct_2(A, u1_struct_0(B)), k4_lopban_1(A, B), k2_lopban_1(A, B), k2_clopban1(A, B))) ) ) ) ).
fof(t11_clopban1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_clopban1(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k3_clopban1(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k3_clopban1(A, B))) =>  (E=k3_rlvect_1(k3_clopban1(A, B), C, D) <=>  (! [F] :  (m1_subset_1(F, A) => k4_clopban1(A, B, E, F)=k3_rlvect_1(B, k4_clopban1(A, B, C, F), k4_clopban1(A, B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_clopban1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_clopban1(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k3_clopban1(A, B))) =>  (! [E] :  (v1_xcmplx_0(E) =>  (D=k1_clvect_1(k3_clopban1(A, B), C, E) <=>  (! [F] :  (m1_subset_1(F, A) => k4_clopban1(A, B, D, F)=k1_clvect_1(B, k4_clopban1(A, B, C, F), E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_clvect_1(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v1_clopban1(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xcmplx_0(E) => k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k1_clvect_1(A, D, E))=k1_clvect_1(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_clopban1(u1_struct_0(A), B)))) =>  (C=k5_clopban1(A, B) <=>  (! [D] :  (r2_tarski(D, C) <=>  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(D, A, B) &  (v1_clopban1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) )  => v6_clvect_1(k5_clopban1(A, B), k3_clopban1(u1_struct_0(A), B))) ) ) ) ).
fof(t14_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) )  => m1_clvect_1(g1_clvect_1(k5_clopban1(A, B), k8_csspace(k3_clopban1(u1_struct_0(A), B), k5_clopban1(A, B)), k6_csspace(k3_clopban1(u1_struct_0(A), B), k5_clopban1(A, B)), k7_csspace(k3_clopban1(u1_struct_0(A), B), k5_clopban1(A, B))), k3_clopban1(u1_struct_0(A), B))) ) ) ) ).
fof(d5_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) )  => k6_clopban1(A, B)=g1_clvect_1(k5_clopban1(A, B), k8_csspace(k3_clopban1(u1_struct_0(A), B), k5_clopban1(A, B)), k6_csspace(k3_clopban1(u1_struct_0(A), B), k5_clopban1(A, B)), k7_csspace(k3_clopban1(u1_struct_0(A), B), k5_clopban1(A, B)))) ) ) ) ).
fof(t15_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k6_clopban1(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k6_clopban1(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k6_clopban1(A, B))) =>  (E=k3_rlvect_1(k6_clopban1(A, B), C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => k7_clopban1(A, B, E, F)=k3_rlvect_1(B, k7_clopban1(A, B, C, F), k7_clopban1(A, B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k6_clopban1(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k6_clopban1(A, B))) =>  (! [E] :  (v1_xcmplx_0(E) =>  (D=k1_clvect_1(k6_clopban1(A, B), C, E) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => k7_clopban1(A, B, D, F)=k1_clvect_1(B, k7_clopban1(A, B, C, F), E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) )  => k4_struct_0(k6_clopban1(A, B))=k8_funcop_1(u1_struct_0(B), u1_struct_0(A), k4_struct_0(B))) ) ) ) ).
fof(t18_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k8_funcop_1(u1_struct_0(B), u1_struct_0(A), k4_struct_0(B))) &  (v1_funct_2(k8_funcop_1(u1_struct_0(B), u1_struct_0(A), k4_struct_0(B)), u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(k8_funcop_1(u1_struct_0(B), u1_struct_0(A), k4_struct_0(B)), A, B) &  (v1_clopban1(k8_funcop_1(u1_struct_0(B), u1_struct_0(A), k4_struct_0(B)), A, B) & m1_subset_1(k8_funcop_1(u1_struct_0(B), u1_struct_0(A), k4_struct_0(B)), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) ) ) ) ).
fof(t19_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v9_clvect_1(B, A) & k7_clvect_1(A, B)=C)  =>  (v2_comseq_2(k5_normsp_0(A, B)) & k1_seq_2(k5_normsp_0(A, B))=k2_normsp_0(A, C)) ) ) ) ) ) ) ) ).
fof(d6_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_clopban1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (v2_clopban1(C, A, B) <=>  (? [D] :  (v1_xreal_0(D) &  (r1_xxreal_0(k5_numbers, D) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => r1_xxreal_0(k2_normsp_0(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, E)), k3_xcmplx_0(D, k2_normsp_0(A, E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_clopban1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D)=k4_struct_0(B)) )  => v2_clopban1(C, A, B)) ) ) ) ) ) ) ).
fof(d7_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k6_clopban1(A, B)))) =>  (C=k8_clopban1(A, B) <=>  (! [D] :  (r2_tarski(D, C) <=>  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(D, A, B) &  (v1_clopban1(D, A, B) &  (v2_clopban1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  => v6_clvect_1(k8_clopban1(A, B), k6_clopban1(A, B))) ) ) ) ).
fof(t22_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  => m1_clvect_1(g1_clvect_1(k8_clopban1(A, B), k8_csspace(k6_clopban1(A, B), k8_clopban1(A, B)), k6_csspace(k6_clopban1(A, B), k8_clopban1(A, B)), k7_csspace(k6_clopban1(A, B), k8_clopban1(A, B))), k6_clopban1(A, B))) ) ) ) ).
fof(d8_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  => k9_clopban1(A, B)=g1_clvect_1(k8_clopban1(A, B), k8_csspace(k6_clopban1(A, B), k8_clopban1(A, B)), k6_csspace(k6_clopban1(A, B), k8_clopban1(A, B)), k7_csspace(k6_clopban1(A, B), k8_clopban1(A, B)))) ) ) ) ).
fof(t23_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_clopban1(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_clopban1(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_clopban1(A, B))) =>  (E=k3_rlvect_1(k9_clopban1(A, B), C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => k10_clopban1(A, B, E, F)=k3_rlvect_1(B, k10_clopban1(A, B, C, F), k10_clopban1(A, B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_clopban1(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_clopban1(A, B))) =>  (! [E] :  (v1_xcmplx_0(E) =>  (D=k1_clvect_1(k9_clopban1(A, B), C, E) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => k10_clopban1(A, B, D, F)=k1_clvect_1(B, k10_clopban1(A, B, C, F), E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  => k4_struct_0(k9_clopban1(A, B))=k8_funcop_1(u1_struct_0(B), u1_struct_0(A), k4_struct_0(B))) ) ) ) ).
fof(d9_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (r2_hidden(C, k8_clopban1(A, B)) => k11_clopban1(A, B, C)=C) ) ) ) ) ) ).
fof(t26_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_clopban1(C, A, B) &  (v2_clopban1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  => v4_xxreal_2(k12_clopban1(A, B, C))) ) ) ) ) ) ).
fof(t27_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_clopban1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (v2_clopban1(C, A, B) <=> v4_xxreal_2(k12_clopban1(A, B, C))) ) ) ) ) ) ) ).
fof(d11_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k8_clopban1(A, B), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k8_clopban1(A, B), k1_numbers)))) )  =>  (C=k13_clopban1(A, B) <=>  (! [D] :  (r2_hidden(D, k8_clopban1(A, B)) => k1_funct_1(C, D)=k2_seq_4(k12_clopban1(A, B, k11_clopban1(A, B, D)))) ) ) ) ) ) ) ) ) ).
fof(t28_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_clopban1(C, A, B) &  (v2_clopban1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  => r2_funct_2(u1_struct_0(A), u1_struct_0(B), k11_clopban1(A, B, C), C)) ) ) ) ) ) ).
fof(t29_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_clopban1(C, A, B) &  (v2_clopban1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  => k1_funct_1(k13_clopban1(A, B), C)=k2_seq_4(k12_clopban1(A, B, C))) ) ) ) ) ) ).
fof(d12_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  => k14_clopban1(A, B)=g2_clvect_1(k8_clopban1(A, B), k8_csspace(k6_clopban1(A, B), k8_clopban1(A, B)), k6_csspace(k6_clopban1(A, B), k8_clopban1(A, B)), k7_csspace(k6_clopban1(A, B), k8_clopban1(A, B)), k13_clopban1(A, B))) ) ) ) ).
fof(t30_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  => k8_funcop_1(u1_struct_0(B), u1_struct_0(A), k4_struct_0(B))=k4_struct_0(k14_clopban1(A, B))) ) ) ) ).
fof(t31_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_clopban1(A, B))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(D, A, B) &  (v1_clopban1(D, A, B) &  (v2_clopban1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (D=C =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => r1_xxreal_0(k2_normsp_0(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), D, E)), k3_xcmplx_0(k2_normsp_0(k14_clopban1(A, B), C), k2_normsp_0(A, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_clopban1(A, B))) => r1_xxreal_0(k5_numbers, k2_normsp_0(k14_clopban1(A, B), C))) ) ) ) ) ) ).
fof(t33_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_clopban1(A, B))) =>  (C=k4_struct_0(k14_clopban1(A, B)) => k5_numbers=k2_normsp_0(k14_clopban1(A, B), C)) ) ) ) ) ) ) ).
fof(t34_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_clopban1(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_clopban1(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k14_clopban1(A, B))) =>  (E=k1_algstr_0(k14_clopban1(A, B), C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => k15_clopban1(A, B, E, F)=k3_rlvect_1(B, k15_clopban1(A, B, C, F), k15_clopban1(A, B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_clopban1(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_clopban1(A, B))) =>  (! [E] :  (v1_xcmplx_0(E) =>  (D=k1_clvect_1(k14_clopban1(A, B), C, E) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => k15_clopban1(A, B, D, F)=k1_clvect_1(B, k15_clopban1(A, B, C, F), E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_clopban1(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_clopban1(A, B))) =>  (! [E] :  (v1_xcmplx_0(E) =>  ( (k2_normsp_0(k14_clopban1(A, B), C)=k5_numbers => C=k4_struct_0(k14_clopban1(A, B)))  &  ( (C=k4_struct_0(k14_clopban1(A, B)) => k2_normsp_0(k14_clopban1(A, B), C)=k5_numbers)  &  (k2_normsp_0(k14_clopban1(A, B), k1_clvect_1(k14_clopban1(A, B), C, E))=k3_xcmplx_0(k9_complex1(E), k2_normsp_0(k14_clopban1(A, B), C)) & r1_xxreal_0(k2_normsp_0(k14_clopban1(A, B), k1_algstr_0(k14_clopban1(A, B), C, D)), k2_xcmplx_0(k2_normsp_0(k14_clopban1(A, B), C), k2_normsp_0(k14_clopban1(A, B), D)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (v4_normsp_0(k14_clopban1(A, B)) &  (v3_normsp_0(k14_clopban1(A, B)) & v8_clvect_1(k14_clopban1(A, B))) ) ) ) ) ) ).
fof(t38_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k14_clopban1(A, B)))  &  (v13_algstr_0(k14_clopban1(A, B)) &  (v2_rlvect_1(k14_clopban1(A, B)) &  (v3_rlvect_1(k14_clopban1(A, B)) &  (v4_rlvect_1(k14_clopban1(A, B)) &  (v3_normsp_0(k14_clopban1(A, B)) &  (v4_normsp_0(k14_clopban1(A, B)) &  (v2_clvect_1(k14_clopban1(A, B)) &  (v3_clvect_1(k14_clopban1(A, B)) &  (v4_clvect_1(k14_clopban1(A, B)) &  (v5_clvect_1(k14_clopban1(A, B)) &  (v8_clvect_1(k14_clopban1(A, B)) & l2_clvect_1(k14_clopban1(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_clopban1(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_clopban1(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k14_clopban1(A, B))) =>  (E=k5_algstr_0(k14_clopban1(A, B), C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => k15_clopban1(A, B, E, F)=k5_algstr_0(B, k15_clopban1(A, B, C, F), k15_clopban1(A, B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (v3_clopban1(A) <=>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_csspace3(B, A) => v9_clvect_1(B, A)) ) ) ) ) ) ).
fof(t40_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v9_clvect_1(B, A) =>  (v2_comseq_2(k5_normsp_0(A, B)) & k1_seq_2(k5_normsp_0(A, B))=k2_normsp_0(A, k7_clvect_1(A, B))) ) ) ) ) ) ).
fof(t41_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (v3_clopban1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(k14_clopban1(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k14_clopban1(A, B)))))) )  =>  (v1_csspace3(C, k14_clopban1(A, B)) => v9_clvect_1(C, k14_clopban1(A, B))) ) ) ) ) ) ) ) ).
fof(t42_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) &  (v3_clopban1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k14_clopban1(A, B)))  &  (v13_algstr_0(k14_clopban1(A, B)) &  (v2_rlvect_1(k14_clopban1(A, B)) &  (v3_rlvect_1(k14_clopban1(A, B)) &  (v4_rlvect_1(k14_clopban1(A, B)) &  (v3_normsp_0(k14_clopban1(A, B)) &  (v4_normsp_0(k14_clopban1(A, B)) &  (v2_clvect_1(k14_clopban1(A, B)) &  (v3_clvect_1(k14_clopban1(A, B)) &  (v4_clvect_1(k14_clopban1(A, B)) &  (v5_clvect_1(k14_clopban1(A, B)) &  (v8_clvect_1(k14_clopban1(A, B)) &  (v3_clopban1(k14_clopban1(A, B)) & l2_clvect_1(k14_clopban1(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_clopban1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k2_numbers, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, B), B)))) )  &  (v1_xcmplx_0(D) &  (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) )  => m2_funct_2(k1_clopban1(A, B, C, D, E), A, B, k9_funct_2(A, B))) ) ).
fof(redefinition_k1_clopban1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k2_numbers, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, B), B)))) )  &  (v1_xcmplx_0(D) &  (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) )  => k1_clopban1(A, B, C, D, E)=k5_funcop_1(C, D, E)) ) ).
fof(dt_k2_clopban1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k2_clopban1(A, B)) &  (v1_funct_2(k2_clopban1(A, B), k2_zfmisc_1(k2_numbers, k9_funct_2(A, u1_struct_0(B))), k9_funct_2(A, u1_struct_0(B))) & m1_subset_1(k2_clopban1(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, k9_funct_2(A, u1_struct_0(B))), k9_funct_2(A, u1_struct_0(B)))))) ) ) ) ).
fof(dt_k3_clopban1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k3_clopban1(A, B)))  &  (v13_algstr_0(k3_clopban1(A, B)) &  (v2_rlvect_1(k3_clopban1(A, B)) &  (v3_rlvect_1(k3_clopban1(A, B)) &  (v4_rlvect_1(k3_clopban1(A, B)) &  (v2_clvect_1(k3_clopban1(A, B)) &  (v3_clvect_1(k3_clopban1(A, B)) &  (v4_clvect_1(k3_clopban1(A, B)) &  (v5_clvect_1(k3_clopban1(A, B)) & l1_clvect_1(k3_clopban1(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k4_clopban1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(k3_clopban1(A, B))) & m1_subset_1(D, A)) ) )  => m1_subset_1(k4_clopban1(A, B, C, D), u1_struct_0(B))) ) ).
fof(redefinition_k4_clopban1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(k3_clopban1(A, B))) & m1_subset_1(D, A)) ) )  => k4_clopban1(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(dt_k5_clopban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) ) )  => m1_subset_1(k5_clopban1(A, B), k1_zfmisc_1(u1_struct_0(k3_clopban1(u1_struct_0(A), B))))) ) ).
fof(dt_k6_clopban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k6_clopban1(A, B)))  &  (v13_algstr_0(k6_clopban1(A, B)) &  (v2_rlvect_1(k6_clopban1(A, B)) &  (v3_rlvect_1(k6_clopban1(A, B)) &  (v4_rlvect_1(k6_clopban1(A, B)) &  (v2_clvect_1(k6_clopban1(A, B)) &  (v3_clvect_1(k6_clopban1(A, B)) &  (v4_clvect_1(k6_clopban1(A, B)) &  (v5_clvect_1(k6_clopban1(A, B)) & l1_clvect_1(k6_clopban1(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k7_clopban1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(k6_clopban1(A, B))) & m1_subset_1(D, u1_struct_0(A))) ) )  => m1_subset_1(k7_clopban1(A, B, C, D), u1_struct_0(B))) ) ).
fof(redefinition_k7_clopban1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(k6_clopban1(A, B))) & m1_subset_1(D, u1_struct_0(A))) ) )  => k7_clopban1(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(dt_k8_clopban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  => m1_subset_1(k8_clopban1(A, B), k1_zfmisc_1(u1_struct_0(k6_clopban1(A, B))))) ) ).
fof(dt_k9_clopban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k9_clopban1(A, B)))  &  (v13_algstr_0(k9_clopban1(A, B)) &  (v2_rlvect_1(k9_clopban1(A, B)) &  (v3_rlvect_1(k9_clopban1(A, B)) &  (v4_rlvect_1(k9_clopban1(A, B)) &  (v2_clvect_1(k9_clopban1(A, B)) &  (v3_clvect_1(k9_clopban1(A, B)) &  (v4_clvect_1(k9_clopban1(A, B)) &  (v5_clvect_1(k9_clopban1(A, B)) & l1_clvect_1(k9_clopban1(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k10_clopban1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(k9_clopban1(A, B))) & m1_subset_1(D, u1_struct_0(A))) ) )  => m1_subset_1(k10_clopban1(A, B, C, D), u1_struct_0(B))) ) ).
fof(redefinition_k10_clopban1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(k9_clopban1(A, B))) & m1_subset_1(D, u1_struct_0(A))) ) )  => k10_clopban1(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(dt_k11_clopban1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k11_clopban1(A, B, C)) &  (v1_funct_2(k11_clopban1(A, B, C), u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(k11_clopban1(A, B, C), A, B) &  (v1_clopban1(k11_clopban1(A, B, C), A, B) &  (v2_clopban1(k11_clopban1(A, B, C), A, B) & m1_subset_1(k11_clopban1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) ) ) ).
fof(dt_k12_clopban1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_clopban1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k12_clopban1(A, B, C)))  & m1_subset_1(k12_clopban1(A, B, C), k1_zfmisc_1(k1_numbers))) ) ) ).
fof(dt_k13_clopban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k13_clopban1(A, B)) &  (v1_funct_2(k13_clopban1(A, B), k8_clopban1(A, B), k1_numbers) & m1_subset_1(k13_clopban1(A, B), k1_zfmisc_1(k2_zfmisc_1(k8_clopban1(A, B), k1_numbers)))) ) ) ) ).
fof(dt_k14_clopban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k14_clopban1(A, B)))  & l2_clvect_1(k14_clopban1(A, B))) ) ) ).
fof(dt_k15_clopban1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(k14_clopban1(A, B))) & m1_subset_1(D, u1_struct_0(A))) ) )  => m1_subset_1(k15_clopban1(A, B, C, D), u1_struct_0(B))) ) ).
fof(redefinition_k15_clopban1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(k14_clopban1(A, B))) & m1_subset_1(D, u1_struct_0(A))) ) )  => k15_clopban1(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(d10_clopban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_clopban1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  => k12_clopban1(A, B, C)=a_3_0_clopban1(A, B, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_clopban1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_clvect_1(C) &  (v3_clvect_1(C) &  (v4_clvect_1(C) &  (v5_clvect_1(C) &  (v8_clvect_1(C) & l2_clvect_1(C)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(D, B, C) &  (v1_clopban1(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) ) )  =>  (r2_hidden(A, a_3_0_clopban1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k2_normsp_0(C, k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, E)) & r1_xxreal_0(k2_normsp_0(B, E), 1)) ) ) ) ) ) ).
fof(fc1_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k7_clopban2(A)))  & v36_algstr_0(k7_clopban2(A))) ) ) ).
fof(fc2_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  => v1_group_1(k7_clopban2(A))) ) ).
fof(fc3_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (v13_algstr_0(k7_clopban2(A)) &  (v2_rlvect_1(k7_clopban2(A)) &  (v3_rlvect_1(k7_clopban2(A)) &  (v4_rlvect_1(k7_clopban2(A)) &  (v4_vectsp_1(k7_clopban2(A)) &  (v5_vectsp_1(k7_clopban2(A)) & v3_group_1(k7_clopban2(A))) ) ) ) ) ) ) ) ).
fof(fc4_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k8_clopban2(A)))  & v1_cfuncdom(k8_clopban2(A))) ) ) ).
fof(fc5_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  => v1_group_1(k8_clopban2(A))) ) ).
fof(fc6_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (v13_algstr_0(k8_clopban2(A)) &  (v2_rlvect_1(k8_clopban2(A)) &  (v3_rlvect_1(k8_clopban2(A)) &  (v4_rlvect_1(k8_clopban2(A)) &  (v2_clvect_1(k8_clopban2(A)) &  (v3_clvect_1(k8_clopban2(A)) &  (v4_clvect_1(k8_clopban2(A)) &  (v1_vectsp_1(k8_clopban2(A)) &  (v3_vectsp_1(k8_clopban2(A)) &  (v2_cfuncdom(k8_clopban2(A)) & v3_group_1(k8_clopban2(A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc7_clopban2, axiom,  ( ~ (v2_struct_0(k3_csspace3))  & v3_clopban1(k3_csspace3)) ).
fof(fc8_clopban2, axiom,  ( ~ (v2_struct_0(k3_csspace3))  &  ~ (v7_struct_0(k3_csspace3)) ) ).
fof(rc1_clopban2, axiom,  (? [A] :  (l2_clvect_1(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & v3_clopban1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_clopban2, axiom,  (? [A] :  (l1_clopban2(A) & v1_clopban2(A)) ) ).
fof(rc3_clopban2, axiom,  (? [A] :  (l1_clopban2(A) &  ~ (v2_struct_0(A)) ) ) ).
fof(fc9_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k9_clopban2(A)))  & v1_clopban2(k9_clopban2(A))) ) ) ).
fof(fc10_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  => v1_group_1(k9_clopban2(A))) ) ).
fof(rc4_clopban2, axiom,  (? [A] :  (l1_clopban2(A) &  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v2_cfuncdom(A) &  (v3_group_1(A) & v1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc11_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (v13_algstr_0(k9_clopban2(A)) &  (v2_rlvect_1(k9_clopban2(A)) &  (v3_rlvect_1(k9_clopban2(A)) &  (v4_rlvect_1(k9_clopban2(A)) &  (v3_normsp_0(k9_clopban2(A)) &  (v4_normsp_0(k9_clopban2(A)) &  (v2_clvect_1(k9_clopban2(A)) &  (v3_clvect_1(k9_clopban2(A)) &  (v4_clvect_1(k9_clopban2(A)) &  (v5_clvect_1(k9_clopban2(A)) &  (v8_clvect_1(k9_clopban2(A)) &  (v1_vectsp_1(k9_clopban2(A)) &  (v3_vectsp_1(k9_clopban2(A)) &  (v2_cfuncdom(k9_clopban2(A)) & v3_group_1(k9_clopban2(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_clopban2, axiom,  (! [A] :  (l1_clopban2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v2_cfuncdom(A) &  (v3_group_1(A) & v5_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v1_vectsp_1(A) &  (v2_vectsp_1(A) &  (v3_vectsp_1(A) &  (v6_vectsp_1(A) &  (v3_clopban1(A) &  (v2_cfuncdom(A) &  (v3_group_1(A) &  (v2_clopban2(A) &  (v3_clopban2(A) & v4_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc2_clopban2, axiom,  (! [A] :  (l1_clopban2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v1_vectsp_1(A) &  (v2_vectsp_1(A) &  (v3_vectsp_1(A) &  (v6_vectsp_1(A) &  (v3_clopban1(A) &  (v2_cfuncdom(A) &  (v3_group_1(A) &  (v2_clopban2(A) &  (v3_clopban2(A) & v4_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v2_cfuncdom(A) &  (v3_group_1(A) & v5_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc12_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v3_clopban1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) )  => v5_clopban2(k9_clopban2(A))) ) ).
fof(rc5_clopban2, axiom,  (? [A] :  (l1_clopban2(A) &  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v2_cfuncdom(A) &  (v3_group_1(A) & v5_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v2_clvect_1(C) &  (v3_clvect_1(C) &  (v4_clvect_1(C) &  (v5_clvect_1(C) & l1_clvect_1(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(D, A, B) &  (v1_clopban1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(E, B, C) &  (v1_clopban1(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  (v1_funct_1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E)) &  (v1_funct_2(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), u1_struct_0(A), u1_struct_0(C)) &  (v13_vectsp_1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), A, C) &  (v1_clopban1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), A, C) & m1_subset_1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_clvect_1(C) &  (v3_clvect_1(C) &  (v4_clvect_1(C) &  (v5_clvect_1(C) &  (v8_clvect_1(C) & l2_clvect_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(D, A, B) &  (v1_clopban1(D, A, B) &  (v2_clopban1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(E, B, C) &  (v1_clopban1(E, B, C) &  (v2_clopban1(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) )  =>  ( (v1_funct_1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E)) &  (v1_funct_2(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), u1_struct_0(A), u1_struct_0(C)) &  (v13_vectsp_1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), A, C) &  (v1_clopban1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), A, C) &  (v2_clopban1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), A, C) & m1_subset_1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C))))) ) ) ) )  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r1_xxreal_0(k2_normsp_0(C, k3_funct_2(u1_struct_0(A), u1_struct_0(C), k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), F)), k3_xcmplx_0(k3_xcmplx_0(k1_funct_1(k13_clopban1(B, C), E), k1_funct_1(k13_clopban1(A, B), D)), k2_normsp_0(A, F))) & r1_xxreal_0(k1_funct_1(k13_clopban1(A, C), k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E)), k3_xcmplx_0(k1_funct_1(k13_clopban1(B, C), E), k1_funct_1(k13_clopban1(A, B), D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k6_clopban1(A, A)), k8_clopban1(A, A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(k6_clopban1(A, A)), k8_clopban1(A, A)) => k2_clopban2(A, B, C)=k4_binop_1(k8_clopban1(A, A), k6_csspace(k6_clopban1(A, A), k8_clopban1(A, A)), B, C)) ) ) ) ) ) ).
fof(d2_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k6_clopban1(A, A)), k8_clopban1(A, A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(k6_clopban1(A, A)), k8_clopban1(A, A)) => k3_clopban2(A, B, C)=k1_clopban2(A, k11_clopban1(A, A, B), k11_clopban1(A, A, C))) ) ) ) ) ) ).
fof(d3_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k6_clopban1(A, A)), k8_clopban1(A, A)) =>  (! [C] :  (v1_xcmplx_0(C) => k4_clopban2(A, B, C)=k1_binop_1(k7_csspace(k6_clopban1(A, A), k8_clopban1(A, A)), C, B)) ) ) ) ) ) ).
fof(d4_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k8_clopban1(A, A), k8_clopban1(A, A)), k8_clopban1(A, A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_clopban1(A, A), k8_clopban1(A, A)), k8_clopban1(A, A))))) )  =>  (B=k5_clopban2(A) <=>  (! [C] :  (m2_subset_1(C, u1_struct_0(k6_clopban1(A, A)), k8_clopban1(A, A)) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(k6_clopban1(A, A)), k8_clopban1(A, A)) => k4_binop_1(k8_clopban1(A, A), B, C, D)=k3_clopban2(A, D, C)) ) ) ) ) ) ) ) ) ).
fof(t3_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k6_partfun1(u1_struct_0(A))) &  (v1_funct_2(k6_partfun1(u1_struct_0(A)), u1_struct_0(A), u1_struct_0(A)) &  (v13_vectsp_1(k6_partfun1(u1_struct_0(A)), A, A) &  (v1_clopban1(k6_partfun1(u1_struct_0(A)), A, A) &  (v2_clopban1(k6_partfun1(u1_struct_0(A)), A, A) & m1_subset_1(k6_partfun1(u1_struct_0(A)), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ) ) ) ).
fof(d5_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  => k6_clopban2(A)=k6_partfun1(u1_struct_0(A))) ) ).
fof(t4_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v13_vectsp_1(B, A, A) &  (v1_clopban1(B, A, A) &  (v2_clopban1(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(A)) &  (v13_vectsp_1(C, A, A) &  (v1_clopban1(C, A, A) &  (v2_clopban1(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(A)) &  (v13_vectsp_1(D, A, A) &  (v1_clopban1(D, A, A) &  (v2_clopban1(D, A, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) )  =>  (r2_funct_2(u1_struct_0(A), u1_struct_0(A), D, k1_clopban2(A, C, B)) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(A), D, E)=k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, k3_funct_2(u1_struct_0(A), u1_struct_0(A), C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v13_vectsp_1(B, A, A) &  (v1_clopban1(B, A, A) &  (v2_clopban1(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(A)) &  (v13_vectsp_1(C, A, A) &  (v1_clopban1(C, A, A) &  (v2_clopban1(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(A)) &  (v13_vectsp_1(D, A, A) &  (v1_clopban1(D, A, A) &  (v2_clopban1(D, A, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) )  => r2_funct_2(u1_struct_0(A), u1_struct_0(A), k1_clopban2(A, k1_clopban2(A, D, C), B), k1_clopban2(A, D, k1_clopban2(A, C, B)))) ) ) ) ) ) ) ) ).
fof(t6_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v13_vectsp_1(B, A, A) &  (v1_clopban1(B, A, A) &  (v2_clopban1(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) )  =>  (r2_funct_2(u1_struct_0(A), u1_struct_0(A), k1_partfun1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), k6_partfun1(u1_struct_0(A)), B), B) & r2_funct_2(u1_struct_0(A), u1_struct_0(A), k1_partfun1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), B, k6_partfun1(u1_struct_0(A))), B)) ) ) ) ) ).
fof(t7_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k6_clopban1(A, A)), k8_clopban1(A, A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(k6_clopban1(A, A)), k8_clopban1(A, A)) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(k6_clopban1(A, A)), k8_clopban1(A, A)) => k3_clopban2(A, k3_clopban2(A, D, C), B)=k3_clopban2(A, D, k3_clopban2(A, C, B))) ) ) ) ) ) ) ) ).
fof(t8_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k6_clopban1(A, A)), k8_clopban1(A, A)) =>  (k3_clopban2(A, k6_clopban2(A), B)=B & k3_clopban2(A, B, k6_clopban2(A))=B) ) ) ) ) ).
fof(t9_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k6_clopban1(A, A)), k8_clopban1(A, A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(k6_clopban1(A, A)), k8_clopban1(A, A)) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(k6_clopban1(A, A)), k8_clopban1(A, A)) => k3_clopban2(A, k2_clopban2(A, C, D), B)=k2_clopban2(A, k3_clopban2(A, C, B), k3_clopban2(A, D, B))) ) ) ) ) ) ) ) ).
fof(t10_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k6_clopban1(A, A)), k8_clopban1(A, A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(k6_clopban1(A, A)), k8_clopban1(A, A)) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(k6_clopban1(A, A)), k8_clopban1(A, A)) => k3_clopban2(A, B, k2_clopban2(A, C, D))=k2_clopban2(A, k3_clopban2(A, B, C), k3_clopban2(A, B, D))) ) ) ) ) ) ) ) ).
fof(t11_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k6_clopban1(A, A)), k8_clopban1(A, A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(k6_clopban1(A, A)), k8_clopban1(A, A)) =>  (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  (v1_xcmplx_0(E) => k4_clopban2(A, k3_clopban2(A, C, B), k3_xcmplx_0(D, E))=k3_clopban2(A, k4_clopban2(A, C, E), k4_clopban2(A, B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t12_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k6_clopban1(A, A)), k8_clopban1(A, A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(k6_clopban1(A, A)), k8_clopban1(A, A)) =>  (! [D] :  (v1_xcmplx_0(D) => k4_clopban2(A, k3_clopban2(A, C, B), D)=k3_clopban2(A, C, k4_clopban2(A, B, D))) ) ) ) ) ) ) ) ).
fof(d6_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  => k7_clopban2(A)=g6_algstr_0(k8_clopban1(A, A), k6_csspace(k6_clopban1(A, A), k8_clopban1(A, A)), k5_clopban2(A), k6_clopban2(A), k8_csspace(k6_clopban1(A, A), k8_clopban1(A, A)))) ) ).
fof(t13_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k7_clopban2(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_clopban2(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_clopban2(A))) =>  (k1_algstr_0(k7_clopban2(A), B, C)=k1_algstr_0(k7_clopban2(A), C, B) &  (k1_algstr_0(k7_clopban2(A), k1_algstr_0(k7_clopban2(A), B, C), D)=k1_algstr_0(k7_clopban2(A), B, k1_algstr_0(k7_clopban2(A), C, D)) &  (k1_algstr_0(k7_clopban2(A), B, k4_struct_0(k7_clopban2(A)))=B &  (v10_algstr_0(B, k7_clopban2(A)) &  (k6_algstr_0(k7_clopban2(A), k6_algstr_0(k7_clopban2(A), B, C), D)=k6_algstr_0(k7_clopban2(A), B, k6_algstr_0(k7_clopban2(A), C, D)) &  (k6_algstr_0(k7_clopban2(A), B, k5_struct_0(k7_clopban2(A)))=B &  (k6_algstr_0(k7_clopban2(A), k5_struct_0(k7_clopban2(A)), B)=B &  (k6_algstr_0(k7_clopban2(A), B, k1_algstr_0(k7_clopban2(A), C, D))=k1_algstr_0(k7_clopban2(A), k6_algstr_0(k7_clopban2(A), B, C), k6_algstr_0(k7_clopban2(A), B, D)) & k6_algstr_0(k7_clopban2(A), k1_algstr_0(k7_clopban2(A), C, D), B)=k1_algstr_0(k7_clopban2(A), k6_algstr_0(k7_clopban2(A), C, B), k6_algstr_0(k7_clopban2(A), D, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k7_clopban2(A)))  &  (v13_algstr_0(k7_clopban2(A)) &  (v2_rlvect_1(k7_clopban2(A)) &  (v3_rlvect_1(k7_clopban2(A)) &  (v4_rlvect_1(k7_clopban2(A)) &  (v4_vectsp_1(k7_clopban2(A)) &  (v5_vectsp_1(k7_clopban2(A)) &  (v3_group_1(k7_clopban2(A)) & l6_algstr_0(k7_clopban2(A))) ) ) ) ) ) ) ) ) ) ).
fof(d7_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  => k8_clopban2(A)=g1_cfuncdom(k8_clopban1(A, A), k5_clopban2(A), k6_csspace(k6_clopban1(A, A), k8_clopban1(A, A)), k7_csspace(k6_clopban1(A, A), k8_clopban1(A, A)), k6_clopban2(A), k8_csspace(k6_clopban1(A, A), k8_clopban1(A, A)))) ) ).
fof(t15_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k8_clopban2(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k8_clopban2(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k8_clopban2(A))) =>  (! [E] :  (v1_xcmplx_0(E) =>  (! [F] :  (v1_xcmplx_0(F) =>  (k1_algstr_0(k8_clopban2(A), B, C)=k1_algstr_0(k8_clopban2(A), C, B) &  (k1_algstr_0(k8_clopban2(A), k1_algstr_0(k8_clopban2(A), B, C), D)=k1_algstr_0(k8_clopban2(A), B, k1_algstr_0(k8_clopban2(A), C, D)) &  (k1_algstr_0(k8_clopban2(A), B, k4_struct_0(k8_clopban2(A)))=B &  (v10_algstr_0(B, k8_clopban2(A)) &  (k6_algstr_0(k8_clopban2(A), k6_algstr_0(k8_clopban2(A), B, C), D)=k6_algstr_0(k8_clopban2(A), B, k6_algstr_0(k8_clopban2(A), C, D)) &  (k6_algstr_0(k8_clopban2(A), B, k5_struct_0(k8_clopban2(A)))=B &  (k6_algstr_0(k8_clopban2(A), k5_struct_0(k8_clopban2(A)), B)=B &  (k6_algstr_0(k8_clopban2(A), B, k1_algstr_0(k8_clopban2(A), C, D))=k1_algstr_0(k8_clopban2(A), k6_algstr_0(k8_clopban2(A), B, C), k6_algstr_0(k8_clopban2(A), B, D)) &  (k6_algstr_0(k8_clopban2(A), k1_algstr_0(k8_clopban2(A), C, D), B)=k1_algstr_0(k8_clopban2(A), k6_algstr_0(k8_clopban2(A), C, B), k6_algstr_0(k8_clopban2(A), D, B)) &  (k1_clvect_1(k8_clopban2(A), k6_algstr_0(k8_clopban2(A), B, C), E)=k6_algstr_0(k8_clopban2(A), k1_clvect_1(k8_clopban2(A), B, E), C) &  (k1_clvect_1(k8_clopban2(A), k1_algstr_0(k8_clopban2(A), B, C), E)=k1_algstr_0(k8_clopban2(A), k1_clvect_1(k8_clopban2(A), B, E), k1_clvect_1(k8_clopban2(A), C, E)) &  (k1_clvect_1(k8_clopban2(A), B, k2_xcmplx_0(E, F))=k1_algstr_0(k8_clopban2(A), k1_clvect_1(k8_clopban2(A), B, E), k1_clvect_1(k8_clopban2(A), B, F)) &  (k1_clvect_1(k8_clopban2(A), B, k3_xcmplx_0(E, F))=k1_clvect_1(k8_clopban2(A), k1_clvect_1(k8_clopban2(A), B, F), E) & k1_clvect_1(k8_clopban2(A), k6_algstr_0(k8_clopban2(A), B, C), k3_xcmplx_0(E, F))=k6_algstr_0(k8_clopban2(A), k1_clvect_1(k8_clopban2(A), B, E), k1_clvect_1(k8_clopban2(A), C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k8_clopban2(A)))  &  (v13_algstr_0(k8_clopban2(A)) &  (v2_rlvect_1(k8_clopban2(A)) &  (v3_rlvect_1(k8_clopban2(A)) &  (v4_rlvect_1(k8_clopban2(A)) &  (v2_clvect_1(k8_clopban2(A)) &  (v3_clvect_1(k8_clopban2(A)) &  (v4_clvect_1(k8_clopban2(A)) &  (v1_vectsp_1(k8_clopban2(A)) &  (v3_vectsp_1(k8_clopban2(A)) &  (v2_cfuncdom(k8_clopban2(A)) &  (v3_group_1(k8_clopban2(A)) & l1_cfuncdom(k8_clopban2(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) & k2_normsp_0(A, B)=1) ) ) ) ).
fof(t18_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  => k1_funct_1(k13_clopban1(A, A), k6_partfun1(u1_struct_0(A)))=1) ) ).
fof(d8_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  => k9_clopban2(A)=g1_clopban2(k8_clopban1(A, A), k5_clopban2(A), k6_csspace(k6_clopban1(A, A), k8_clopban1(A, A)), k7_csspace(k6_clopban1(A, A), k8_clopban1(A, A)), k6_clopban2(A), k8_csspace(k6_clopban1(A, A), k8_clopban1(A, A)), k13_clopban1(A, A))) ) ).
fof(t19_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_clopban2(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_clopban2(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_clopban2(A))) =>  (! [E] :  (v1_xcmplx_0(E) =>  (! [F] :  (v1_xcmplx_0(F) =>  (k1_algstr_0(k9_clopban2(A), B, C)=k1_algstr_0(k9_clopban2(A), C, B) &  (k1_algstr_0(k9_clopban2(A), k1_algstr_0(k9_clopban2(A), B, C), D)=k1_algstr_0(k9_clopban2(A), B, k1_algstr_0(k9_clopban2(A), C, D)) &  (k1_algstr_0(k9_clopban2(A), B, k4_struct_0(k9_clopban2(A)))=B &  (v10_algstr_0(B, k9_clopban2(A)) &  (k6_algstr_0(k9_clopban2(A), k6_algstr_0(k9_clopban2(A), B, C), D)=k6_algstr_0(k9_clopban2(A), B, k6_algstr_0(k9_clopban2(A), C, D)) &  (k6_algstr_0(k9_clopban2(A), B, k5_struct_0(k9_clopban2(A)))=B &  (k6_algstr_0(k9_clopban2(A), k5_struct_0(k9_clopban2(A)), B)=B &  (k6_algstr_0(k9_clopban2(A), B, k1_algstr_0(k9_clopban2(A), C, D))=k1_algstr_0(k9_clopban2(A), k6_algstr_0(k9_clopban2(A), B, C), k6_algstr_0(k9_clopban2(A), B, D)) &  (k6_algstr_0(k9_clopban2(A), k1_algstr_0(k9_clopban2(A), C, D), B)=k1_algstr_0(k9_clopban2(A), k6_algstr_0(k9_clopban2(A), C, B), k6_algstr_0(k9_clopban2(A), D, B)) &  (k1_clvect_1(k9_clopban2(A), k6_algstr_0(k9_clopban2(A), B, C), E)=k6_algstr_0(k9_clopban2(A), k1_clvect_1(k9_clopban2(A), B, E), C) &  (k1_clvect_1(k9_clopban2(A), k6_algstr_0(k9_clopban2(A), B, C), k3_xcmplx_0(E, F))=k6_algstr_0(k9_clopban2(A), k1_clvect_1(k9_clopban2(A), B, E), k1_clvect_1(k9_clopban2(A), C, F)) &  (k1_clvect_1(k9_clopban2(A), k1_algstr_0(k9_clopban2(A), B, C), E)=k1_algstr_0(k9_clopban2(A), k1_clvect_1(k9_clopban2(A), B, E), k1_clvect_1(k9_clopban2(A), C, E)) &  (k1_clvect_1(k9_clopban2(A), B, k2_xcmplx_0(E, F))=k1_algstr_0(k9_clopban2(A), k1_clvect_1(k9_clopban2(A), B, E), k1_clvect_1(k9_clopban2(A), B, F)) &  (k1_clvect_1(k9_clopban2(A), B, k3_xcmplx_0(E, F))=k1_clvect_1(k9_clopban2(A), k1_clvect_1(k9_clopban2(A), B, F), E) & k1_clvect_1(k9_clopban2(A), B, k6_complex1)=B) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (v4_normsp_0(k9_clopban2(A)) &  (v3_normsp_0(k9_clopban2(A)) &  (v8_clvect_1(k9_clopban2(A)) &  (v2_rlvect_1(k9_clopban2(A)) &  (v3_rlvect_1(k9_clopban2(A)) &  (v4_rlvect_1(k9_clopban2(A)) &  (v13_algstr_0(k9_clopban2(A)) &  (v3_group_1(k9_clopban2(A)) &  (v3_vectsp_1(k9_clopban2(A)) &  (v1_vectsp_1(k9_clopban2(A)) &  (v2_clvect_1(k9_clopban2(A)) &  (v3_clvect_1(k9_clopban2(A)) &  (v4_clvect_1(k9_clopban2(A)) &  (v2_cfuncdom(k9_clopban2(A)) &  (v2_clvect_1(k9_clopban2(A)) &  (v3_clvect_1(k9_clopban2(A)) &  (v4_clvect_1(k9_clopban2(A)) & v5_clvect_1(k9_clopban2(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clopban2(A))  =>  (v2_clopban2(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_xxreal_0(k2_normsp_0(A, k6_algstr_0(A, B, C)), k3_xcmplx_0(k2_normsp_0(A, B), k2_normsp_0(A, C)))) ) ) ) ) ) ) ).
fof(d10_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clopban2(A))  =>  (v3_clopban2(A) <=> k2_normsp_0(A, k5_struct_0(A))=1) ) ) ).
fof(d11_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clopban2(A))  =>  (v4_clopban2(A) <=>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_clvect_1(A, k6_algstr_0(A, C, D), B)=k6_algstr_0(A, C, k1_clvect_1(A, D, B))) ) ) ) ) ) ) ) ) ).
fof(d12_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v2_cfuncdom(A) &  (v3_group_1(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (v5_clopban2(A) <=>  (v2_clopban2(A) &  (v3_clopban2(A) &  (v4_clopban2(A) &  (v6_vectsp_1(A) &  (v2_vectsp_1(A) & v3_clopban1(A)) ) ) ) ) ) ) ) ).
fof(t21_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  => k5_struct_0(k7_clopban2(A))=k6_clopban2(A)) ) ).
fof(t22_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  => k5_struct_0(k8_clopban2(A))=k6_clopban2(A)) ) ).
fof(t23_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  => k5_struct_0(k9_clopban2(A))=k6_clopban2(A)) ) ).
fof(dt_k1_clopban2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v13_vectsp_1(B, A, A) &  (v1_clopban1(B, A, A) &  (v2_clopban1(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(A)) &  (v13_vectsp_1(C, A, A) &  (v1_clopban1(C, A, A) &  (v2_clopban1(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ) ) )  =>  (v1_funct_1(k1_clopban2(A, B, C)) &  (v1_funct_2(k1_clopban2(A, B, C), u1_struct_0(A), u1_struct_0(A)) &  (v13_vectsp_1(k1_clopban2(A, B, C), A, A) &  (v1_clopban1(k1_clopban2(A, B, C), A, A) &  (v2_clopban1(k1_clopban2(A, B, C), A, A) & m1_subset_1(k1_clopban2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ) ) ) ).
fof(redefinition_k1_clopban2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v13_vectsp_1(B, A, A) &  (v1_clopban1(B, A, A) &  (v2_clopban1(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(A)) &  (v13_vectsp_1(C, A, A) &  (v1_clopban1(C, A, A) &  (v2_clopban1(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ) ) )  => k1_clopban2(A, B, C)=k3_relat_1(B, C)) ) ).
fof(dt_k2_clopban2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, k8_clopban1(A, A)) & m1_subset_1(C, k8_clopban1(A, A))) )  => m2_subset_1(k2_clopban2(A, B, C), u1_struct_0(k6_clopban1(A, A)), k8_clopban1(A, A))) ) ).
fof(dt_k3_clopban2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, k8_clopban1(A, A)) & m1_subset_1(C, k8_clopban1(A, A))) )  => m2_subset_1(k3_clopban2(A, B, C), u1_struct_0(k6_clopban1(A, A)), k8_clopban1(A, A))) ) ).
fof(dt_k4_clopban2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, k8_clopban1(A, A)) & v1_xcmplx_0(C)) )  => m2_subset_1(k4_clopban2(A, B, C), u1_struct_0(k6_clopban1(A, A)), k8_clopban1(A, A))) ) ).
fof(dt_k5_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k5_clopban2(A)) &  (v1_funct_2(k5_clopban2(A), k2_zfmisc_1(k8_clopban1(A, A), k8_clopban1(A, A)), k8_clopban1(A, A)) & m1_subset_1(k5_clopban2(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_clopban1(A, A), k8_clopban1(A, A)), k8_clopban1(A, A))))) ) ) ) ).
fof(dt_k6_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  => m2_subset_1(k6_clopban2(A), u1_struct_0(k6_clopban1(A, A)), k8_clopban1(A, A))) ) ).
fof(dt_k7_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  => l6_algstr_0(k7_clopban2(A))) ) ).
fof(dt_k8_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  => l1_cfuncdom(k8_clopban2(A))) ) ).
fof(abstractness_v1_clopban2, axiom,  (! [A] :  (l1_clopban2(A) =>  (v1_clopban2(A) => A=g1_clopban2(u1_struct_0(A), u2_algstr_0(A), u1_algstr_0(A), u1_clvect_1(A), u3_struct_0(A), u2_struct_0(A), u1_normsp_0(A))) ) ) ).
fof(dt_l1_clopban2, axiom,  (! [A] :  (l1_clopban2(A) =>  (l1_cfuncdom(A) & l2_clvect_1(A)) ) ) ).
fof(existence_l1_clopban2, axiom,  (? [A] : l1_clopban2(A)) ).
fof(dt_g1_clopban2, axiom,  (! [A, B, C, D, E, F, G] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k2_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, A), A)))) )  &  (m1_subset_1(E, A) &  (m1_subset_1(F, A) &  (v1_funct_1(G) &  (v1_funct_2(G, A, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ) )  =>  (v1_clopban2(g1_clopban2(A, B, C, D, E, F, G)) & l1_clopban2(g1_clopban2(A, B, C, D, E, F, G))) ) ) ).
fof(free_g1_clopban2, axiom,  (! [A, B, C, D, E, F, G] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k2_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, A), A)))) )  &  (m1_subset_1(E, A) &  (m1_subset_1(F, A) &  (v1_funct_1(G) &  (v1_funct_2(G, A, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ) )  =>  (! [H, I, J, K, L, M, N] :  (g1_clopban2(A, B, C, D, E, F, G)=g1_clopban2(H, I, J, K, L, M, N) =>  (A=H &  (B=I &  (C=J &  (D=K &  (E=L &  (F=M & G=N) ) ) ) ) ) ) ) ) ) ).
fof(dt_k9_clopban2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  => l1_clopban2(k9_clopban2(A))) ) ).
fof(rc1_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & v1_clopban3(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & v2_clopban3(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_clopban3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v2_clopban3(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (v1_funct_1(k3_normsp_0(A, B)) &  (v1_funct_2(k3_normsp_0(A, B), k4_ordinal1, k1_numbers) & v1_series_1(k3_normsp_0(A, B))) ) ) ) ).
fof(cc1_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & v1_clopban3(B, A)) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & v9_clvect_1(B, A)) ) ) ) ) ) ) ).
fof(fc2_clopban3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_clopban3(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_clopban3(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k1_normsp_1(A, B, C)) &  (v1_funct_2(k1_normsp_1(A, B, C), k4_ordinal1, u1_struct_0(A)) & v1_clopban3(k1_normsp_1(A, B, C), A)) ) ) ) ).
fof(fc3_clopban3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_clopban3(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_clopban3(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k2_normsp_1(A, B, C)) &  (v1_funct_2(k2_normsp_1(A, B, C), k4_ordinal1, u1_struct_0(A)) & v1_clopban3(k2_normsp_1(A, B, C), A)) ) ) ) ).
fof(fc4_clopban3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_xcmplx_0(B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_clopban3(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k6_clvect_1(A, C, B)) &  (v1_funct_2(k6_clvect_1(A, C, B), k4_ordinal1, u1_struct_0(A)) & v1_clopban3(k6_clvect_1(A, C, B), A)) ) ) ) ).
fof(fc5_clopban3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_clopban3(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  & v7_ordinal1(C)) )  =>  (v1_funct_1(k6_nat_1(B, C)) &  (v1_funct_2(k6_nat_1(B, C), k4_ordinal1, u1_struct_0(A)) & v1_clopban3(k6_nat_1(B, C), A)) ) ) ) ).
fof(fc6_clopban3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v2_clopban3(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (v1_funct_1(k2_series_1(k5_normsp_0(A, B))) &  (v1_funct_2(k2_series_1(k5_normsp_0(A, B)), k4_ordinal1, k1_numbers) & v1_seq_2(k2_series_1(k5_normsp_0(A, B)))) ) ) ) ).
fof(cc2_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v3_clopban1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & v2_clopban3(B, A)) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & v1_clopban3(B, A)) ) ) ) ) ) ) ).
fof(cc3_clopban3, axiom,  (! [A] :  (l1_clopban2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v2_cfuncdom(A) &  (v3_group_1(A) & v5_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v4_vectsp_1(A) &  (v2_cfuncdom(A) &  (v3_group_1(A) & v5_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_clvect_1(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (! [C] :  (v7_ordinal1(C) => k1_normsp_0(A, B, C)=k4_struct_0(A)) )  =>  (! [C] :  (v7_ordinal1(C) => k1_normsp_0(A, k1_bhsp_4(A, B), C)=k4_struct_0(A)) ) ) ) ) ) ) ).
fof(d1_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_clopban3(B, A) <=> v9_clvect_1(k1_bhsp_4(A, B), A)) ) ) ) ) ).
fof(d2_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => k1_clopban3(A, B)=k7_clvect_1(A, k1_bhsp_4(A, B))) ) ) ) ).
fof(d3_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v2_clopban3(B, A) <=> v1_series_1(k5_normsp_0(A, B))) ) ) ) ) ).
fof(t2_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k5_numbers, k8_nat_1(k1_numbers, k5_normsp_0(A, B), C))) ) ) ) ) ) ).
fof(t3_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_normsp_0(A, k5_algstr_0(A, B, C))=k2_normsp_0(A, k3_rlvect_1(A, k5_algstr_0(A, B, D), k5_algstr_0(A, D, C)))) ) ) ) ) ) ) ) ).
fof(t4_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v9_clvect_1(B, A) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  (r1_xxreal_0(D, E) & r1_xxreal_0(C, k2_normsp_0(A, k5_algstr_0(A, k1_normsp_0(A, B, E), k1_normsp_0(A, B, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_csspace3(B, A) <=>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  (r1_xxreal_0(D, E) & r1_xxreal_0(C, k2_normsp_0(A, k5_algstr_0(A, k1_normsp_0(A, B, E), k1_normsp_0(A, B, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (! [C] :  (v7_ordinal1(C) => k1_normsp_0(A, B, C)=k4_struct_0(A)) )  =>  (! [C] :  (v7_ordinal1(C) => k8_nat_1(k1_numbers, k3_series_1(k5_normsp_0(A, B)), C)=k5_numbers) ) ) ) ) ) ) ).
fof(t7_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (m2_valued_0(C, u1_struct_0(A), B) & v9_clvect_1(B, A))  => v9_clvect_1(C, A)) ) ) ) ) ) ) ).
fof(t8_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (m2_valued_0(C, u1_struct_0(A), B) & v9_clvect_1(B, A))  => k7_clvect_1(A, C)=k7_clvect_1(A, B)) ) ) ) ) ) ) ).
fof(t9_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (v9_clvect_1(B, A) =>  (v9_clvect_1(k1_valued_0(u1_struct_0(A), B, D), A) & k7_clvect_1(A, k1_valued_0(u1_struct_0(A), B, D))=k7_clvect_1(A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t10_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v9_clvect_1(B, A) =>  ( (! [D] :  (v7_ordinal1(D) =>  ~ (r2_funct_2(k4_ordinal1, u1_struct_0(A), B, k1_valued_0(u1_struct_0(A), C, D))) ) )  | v9_clvect_1(C, A)) ) ) ) ) ) ) ) ).
fof(t11_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v9_clvect_1(B, A) =>  ( (! [D] :  (v7_ordinal1(D) =>  ~ (r2_funct_2(k4_ordinal1, u1_struct_0(A), B, k1_valued_0(u1_struct_0(A), C, D))) ) )  | k7_clvect_1(A, C)=k7_clvect_1(A, B)) ) ) ) ) ) ) ) ).
fof(t12_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v3_funct_1(B) => v9_clvect_1(B, A)) ) ) ) ) ).
fof(t13_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (! [C] :  (v7_ordinal1(C) => k1_normsp_0(A, B, C)=k4_struct_0(A)) )  => v2_clopban3(B, A)) ) ) ) ) ).
fof(t14_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_clopban3(B, A) =>  (v9_clvect_1(B, A) & k7_clvect_1(A, B)=k4_struct_0(A)) ) ) ) ) ) ).
fof(t15_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k1_normsp_1(A, k1_bhsp_4(A, B), k1_bhsp_4(A, C)), k1_bhsp_4(A, k1_normsp_1(A, B, C)))) ) ) ) ) ) ).
fof(t16_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k2_normsp_1(A, k1_bhsp_4(A, B), k1_bhsp_4(A, C)), k1_bhsp_4(A, k2_normsp_1(A, B, C)))) ) ) ) ) ) ).
fof(t17_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_clopban3(B, A) & v1_clopban3(C, A))  =>  (v1_clopban3(k1_normsp_1(A, B, C), A) & k1_clopban3(A, k1_normsp_1(A, B, C))=k3_rlvect_1(A, k1_clopban3(A, B), k1_clopban3(A, C))) ) ) ) ) ) ) ) ).
fof(t18_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_clopban3(B, A) & v1_clopban3(C, A))  =>  (v1_clopban3(k2_normsp_1(A, B, C), A) & k1_clopban3(A, k2_normsp_1(A, B, C))=k5_algstr_0(A, k1_clopban3(A, B), k1_clopban3(A, C))) ) ) ) ) ) ) ) ).
fof(t19_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v1_xcmplx_0(C) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k1_bhsp_4(A, k6_clvect_1(A, B, C)), k6_clvect_1(A, k1_bhsp_4(A, B), C))) ) ) ) ) ) ).
fof(t20_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_clopban3(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  (v1_xcmplx_0(C) =>  (v1_clopban3(k6_clvect_1(A, B, C), A) & k1_clopban3(A, k6_clvect_1(A, B, C))=k1_clvect_1(A, k1_clopban3(A, B), C)) ) ) ) ) ) ) ).
fof(t21_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (! [D] :  (v7_ordinal1(D) => k1_normsp_0(A, C, D)=k1_normsp_0(A, B, k5_numbers)) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k1_bhsp_4(A, k1_valued_0(u1_struct_0(A), B, 1)), k2_normsp_1(A, k1_valued_0(u1_struct_0(A), k1_bhsp_4(A, B), 1), C))) ) ) ) ) ) ) ).
fof(t22_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_clopban3(B, A) =>  (! [C] :  (v7_ordinal1(C) => v1_clopban3(k1_valued_0(u1_struct_0(A), B, C), A)) ) ) ) ) ) ) ).
fof(t23_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_seq_2(k3_series_1(k5_normsp_0(A, B))) <=> v2_clopban3(B, A)) ) ) ) ) ).
fof(t24_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v3_clopban1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_clopban3(B, A) <=>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  (r1_xxreal_0(D, E) & r1_xxreal_0(C, k2_normsp_0(A, k5_algstr_0(A, k1_normsp_0(A, k1_bhsp_4(A, B), E), k1_normsp_0(A, k1_bhsp_4(A, B), D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(C, D) => r1_xxreal_0(k2_normsp_0(A, k5_algstr_0(A, k1_normsp_0(A, k1_bhsp_4(A, B), D), k1_normsp_0(A, k1_bhsp_4(A, B), C))), k9_complex1(k5_real_1(k8_nat_1(k1_numbers, k3_series_1(k5_normsp_0(A, B)), D), k8_nat_1(k1_numbers, k3_series_1(k5_normsp_0(A, B)), C))))) ) ) ) ) ) ) ) ) ).
fof(t26_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v3_clopban1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v2_clopban3(B, A) => v1_clopban3(B, A)) ) ) ) ) ).
fof(t27_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_series_1(B) =>  ( (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  (r1_xxreal_0(D, E) &  ~ (r1_xxreal_0(k2_normsp_0(A, k1_normsp_0(A, C, E)), k8_nat_1(k1_numbers, B, E))) ) ) ) ) )  | v2_clopban3(C, A)) ) ) ) ) ) ) ) ).
fof(t28_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( ( (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(k5_numbers, k8_nat_1(k1_numbers, k5_normsp_0(A, B), D)) & r1_xxreal_0(k8_nat_1(k1_numbers, k5_normsp_0(A, B), D), k8_nat_1(k1_numbers, k5_normsp_0(A, C), D))) ) )  & v2_clopban3(C, A))  =>  (v2_clopban3(B, A) & r1_xxreal_0(k4_series_1(k5_normsp_0(A, B)), k4_series_1(k5_normsp_0(A, C)))) ) ) ) ) ) ) ) ).
fof(t29_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ~ ( ( (! [C] :  (v7_ordinal1(C) =>  ~ (r1_xxreal_0(k8_nat_1(k1_numbers, k5_normsp_0(A, B), C), k5_numbers)) ) )  &  ( (? [C] :  (v7_ordinal1(C) &  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(C, D) => r1_xxreal_0(1, k6_real_1(k8_nat_1(k1_numbers, k5_normsp_0(A, B), k1_nat_1(D, 1)), k8_nat_1(k1_numbers, k5_normsp_0(A, B), D)))) ) ) ) )  & v2_clopban3(B, A)) ) ) ) ) ) ) ).
fof(t30_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( ( (! [D] :  (v7_ordinal1(D) => k8_nat_1(k1_numbers, C, D)=k1_power(D, k8_nat_1(k1_numbers, k5_normsp_0(A, B), D))) )  & v2_comseq_2(C))  =>  (r1_xxreal_0(1, k1_seq_2(C)) | v2_clopban3(B, A)) ) ) ) ) ) ) ) ).
fof(t31_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( ( (! [D] :  (v7_ordinal1(D) => k8_nat_1(k1_numbers, C, D)=k1_power(D, k8_nat_1(k1_numbers, k5_normsp_0(A, B), D))) )  &  ( (? [D] :  (v7_ordinal1(D) &  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(D, E) => r1_xxreal_0(1, k8_nat_1(k1_numbers, C, E))) ) ) ) )  & v1_series_1(k5_normsp_0(A, B))) ) ) ) ) ) ) ) ) ).
fof(t32_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( ( (! [D] :  (v7_ordinal1(D) => k8_nat_1(k1_numbers, C, D)=k1_power(D, k8_nat_1(k1_numbers, k5_normsp_0(A, B), D))) )  &  (v2_comseq_2(C) &  ( ~ (r1_xxreal_0(k1_seq_2(C), 1))  & v2_clopban3(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(t33_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v8_valued_0(k5_normsp_0(A, B)) &  (! [D] :  (v7_ordinal1(D) => k8_nat_1(k1_numbers, C, D)=k3_xcmplx_0(k2_power(2, D), k1_funct_1(k5_normsp_0(A, B), k2_power(2, D)))) ) )  =>  (v2_clopban3(B, A) <=> v1_series_1(C)) ) ) ) ) ) ) ) ).
fof(t34_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v1_xreal_0(C) =>  ( (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(1, D) => k8_nat_1(k1_numbers, k5_normsp_0(A, B), D)=k7_xcmplx_0(1, k2_power(D, C))) ) )  =>  (r1_xxreal_0(C, 1) | v2_clopban3(B, A)) ) ) ) ) ) ) ) ).
fof(t35_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( (r1_xxreal_0(C, 1) &  ( (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(1, D) => k8_nat_1(k1_numbers, k5_normsp_0(A, B), D)=k7_xcmplx_0(1, k2_power(D, C))) ) )  & v2_clopban3(B, A)) ) ) ) ) ) ) ) ) ).
fof(t36_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( ( (! [D] :  (v7_ordinal1(D) =>  ( ~ (k1_normsp_0(A, B, D)=k4_struct_0(A))  & k8_nat_1(k1_numbers, C, D)=k6_real_1(k8_nat_1(k1_numbers, k5_normsp_0(A, B), k1_nat_1(D, 1)), k8_nat_1(k1_numbers, k5_normsp_0(A, B), D))) ) )  & v2_comseq_2(C))  =>  (r1_xxreal_0(1, k1_seq_2(C)) | v2_clopban3(B, A)) ) ) ) ) ) ) ) ).
fof(t37_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ~ ( ( (! [C] :  (v7_ordinal1(C) =>  ~ (k1_normsp_0(A, B, C)=k4_struct_0(A)) ) )  &  ( (? [C] :  (v7_ordinal1(C) &  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(C, D) => r1_xxreal_0(1, k6_real_1(k8_nat_1(k1_numbers, k5_normsp_0(A, B), k1_nat_1(D, 1)), k8_nat_1(k1_numbers, k5_normsp_0(A, B), D)))) ) ) ) )  & v2_clopban3(B, A)) ) ) ) ) ) ) ).
fof(t38_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v2_cfuncdom(A) &  (v3_group_1(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xcmplx_0(E) =>  (! [F] :  (v1_xcmplx_0(F) =>  (k1_clvect_1(A, k6_algstr_0(A, B, C), E)=k6_algstr_0(A, k1_clvect_1(A, B, E), C) &  (k1_clvect_1(A, k3_rlvect_1(A, B, C), E)=k3_rlvect_1(A, k1_clvect_1(A, B, E), k1_clvect_1(A, C, E)) &  (k1_clvect_1(A, B, k2_xcmplx_0(E, F))=k3_rlvect_1(A, k1_clvect_1(A, B, E), k1_clvect_1(A, B, F)) &  (k1_clvect_1(A, B, k3_xcmplx_0(E, F))=k1_clvect_1(A, k1_clvect_1(A, B, F), E) &  (k1_clvect_1(A, k6_algstr_0(A, B, C), k3_xcmplx_0(E, F))=k6_algstr_0(A, k1_clvect_1(A, B, E), k1_clvect_1(A, C, F)) &  (k1_clvect_1(A, k6_algstr_0(A, B, C), E)=k6_algstr_0(A, B, k1_clvect_1(A, C, E)) &  (k6_algstr_0(A, k4_struct_0(A), B)=k4_struct_0(A) &  (k6_algstr_0(A, B, k4_struct_0(A))=k4_struct_0(A) &  (k6_algstr_0(A, B, k5_algstr_0(A, C, D))=k5_algstr_0(A, k6_algstr_0(A, B, C), k6_algstr_0(A, B, D)) &  (k6_algstr_0(A, k5_algstr_0(A, C, D), B)=k5_algstr_0(A, k6_algstr_0(A, C, B), k6_algstr_0(A, D, B)) &  (k5_algstr_0(A, k3_rlvect_1(A, B, C), D)=k3_rlvect_1(A, B, k5_algstr_0(A, C, D)) &  (k3_rlvect_1(A, k5_algstr_0(A, B, C), D)=k5_algstr_0(A, B, k5_algstr_0(A, C, D)) &  (k5_algstr_0(A, k5_algstr_0(A, B, C), D)=k5_algstr_0(A, B, k3_rlvect_1(A, C, D)) &  (k3_rlvect_1(A, B, C)=k3_rlvect_1(A, k5_algstr_0(A, B, D), k3_rlvect_1(A, D, C)) &  (k5_algstr_0(A, B, C)=k3_rlvect_1(A, k5_algstr_0(A, B, D), k5_algstr_0(A, D, C)) &  (B=k3_rlvect_1(A, k5_algstr_0(A, B, C), C) &  (B=k5_algstr_0(A, C, k5_algstr_0(A, C, B)) &  ( (k2_normsp_0(A, B)=k5_numbers => B=k4_struct_0(A))  &  ( (B=k4_struct_0(A) => k2_normsp_0(A, B)=k5_numbers)  &  (k2_normsp_0(A, k1_clvect_1(A, B, E))=k3_xcmplx_0(k9_complex1(E), k2_normsp_0(A, B)) &  (r1_xxreal_0(k2_normsp_0(A, k3_rlvect_1(A, B, C)), k2_xcmplx_0(k2_normsp_0(A, B), k2_normsp_0(A, C))) &  (r1_xxreal_0(k2_normsp_0(A, k6_algstr_0(A, B, C)), k3_xcmplx_0(k2_normsp_0(A, B), k2_normsp_0(A, C))) & k2_normsp_0(A, k5_struct_0(A))=1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v2_cfuncdom(A) &  (v3_group_1(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (C=k2_clopban3(A, B) <=>  (k1_normsp_0(A, C, k5_numbers)=k5_struct_0(A) &  (! [D] :  (v7_ordinal1(D) => k1_normsp_0(A, C, k1_nat_1(D, 1))=k6_algstr_0(A, k1_normsp_0(A, C, D), B)) ) ) ) ) ) ) ) ) ) ).
fof(d8_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v2_cfuncdom(A) &  (v3_group_1(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) => k3_clopban3(A, B, C)=k1_normsp_0(A, k2_clopban3(A, B), C)) ) ) ) ) ) ).
fof(t39_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v2_cfuncdom(A) &  (v3_group_1(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k3_clopban3(A, B, k5_numbers)=k5_struct_0(A)) ) ) ) ).
fof(t40_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v2_cfuncdom(A) &  (v3_group_1(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (r1_xxreal_0(1, k2_normsp_0(A, B)))  =>  (v1_clopban3(k2_clopban3(A, B), A) & v2_clopban3(k2_clopban3(A, B), A)) ) ) ) ) ) ).
fof(t41_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v2_cfuncdom(A) &  (v3_group_1(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (r1_xxreal_0(1, k2_normsp_0(A, k5_algstr_0(A, k5_struct_0(A), B))))  =>  (v1_clopban3(k2_clopban3(A, k5_algstr_0(A, k5_struct_0(A), B)), A) & v2_clopban3(k2_clopban3(A, k5_algstr_0(A, k5_struct_0(A), B)), A)) ) ) ) ) ) ).
fof(t42_clopban3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v2_cfuncdom(A) &  (v3_group_1(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (r1_xxreal_0(1, k2_normsp_0(A, k5_algstr_0(A, k5_struct_0(A), B))))  =>  (v25_algstr_0(B, A) & k9_algstr_0(A, B)=k1_clopban3(A, k2_clopban3(A, k5_algstr_0(A, k5_struct_0(A), B)))) ) ) ) ) ) ).
fof(dt_k1_clopban3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => m1_subset_1(k1_clopban3(A, B), u1_struct_0(A))) ) ).
fof(dt_k2_clopban3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v2_cfuncdom(A) &  (v3_group_1(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k2_clopban3(A, B)) &  (v1_funct_2(k2_clopban3(A, B), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k2_clopban3(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(dt_k3_clopban3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v2_cfuncdom(A) &  (v3_group_1(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & v7_ordinal1(C)) )  => m1_subset_1(k3_clopban3(A, B, C), u1_struct_0(A))) ) ).
fof(fc1_clopban4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k1_clopban4(A, B)) &  (v1_funct_2(k1_clopban4(A, B), k4_ordinal1, u1_struct_0(A)) & v2_clopban3(k1_clopban4(A, B), A)) ) ) ) ).
fof(t1_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v9_clvect_1(B, A) &  (v9_clvect_1(C, A) & k7_clvect_1(A, k2_normsp_1(A, B, C))=k4_struct_0(A)) )  => k7_clvect_1(A, B)=k7_clvect_1(A, C)) ) ) ) ) ) ) ).
fof(t2_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (! [D] :  (v7_ordinal1(D) => k1_normsp_0(A, B, D)=C) )  => k7_clvect_1(A, B)=C) ) ) ) ) ) ) ).
fof(t3_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v9_clvect_1(B, A) & v9_clvect_1(C, A))  => v9_clvect_1(k4_lopban_3(A, B, C), A)) ) ) ) ) ) ) ).
fof(t4_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v9_clvect_1(C, A) => v9_clvect_1(k2_lopban_3(A, C, B), A)) ) ) ) ) ) ) ).
fof(t5_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v9_clvect_1(C, A) => v9_clvect_1(k3_lopban_3(A, C, B), A)) ) ) ) ) ) ) ).
fof(t6_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v9_clvect_1(C, A) => k7_clvect_1(A, k2_lopban_3(A, C, B))=k6_algstr_0(A, B, k7_clvect_1(A, C))) ) ) ) ) ) ) ).
fof(t7_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v9_clvect_1(C, A) => k7_clvect_1(A, k3_lopban_3(A, C, B))=k6_algstr_0(A, k7_clvect_1(A, C), B)) ) ) ) ) ) ) ).
fof(t8_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v9_clvect_1(B, A) & v9_clvect_1(C, A))  => k7_clvect_1(A, k4_lopban_3(A, B, C))=k6_algstr_0(A, k7_clvect_1(A, B), k7_clvect_1(A, C))) ) ) ) ) ) ) ).
fof(t9_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (r2_funct_2(k4_ordinal1, u1_struct_0(A), k1_bhsp_4(A, k2_lopban_3(A, C, B)), k2_lopban_3(A, k1_bhsp_4(A, C), B)) & r2_funct_2(k4_ordinal1, u1_struct_0(A), k1_bhsp_4(A, k3_lopban_3(A, C, B)), k3_lopban_3(A, k1_bhsp_4(A, C), B))) ) ) ) ) ) ) ).
fof(t10_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r1_xxreal_0(k2_normsp_0(A, k1_normsp_0(A, k1_bhsp_4(A, C), B)), k8_nat_1(k1_numbers, k3_series_1(k5_normsp_0(A, C)), B))) ) ) ) ) ) ).
fof(t11_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(E, B) => k1_normsp_0(A, C, E)=k1_normsp_0(A, D, E)) ) )  => k1_normsp_0(A, k1_bhsp_4(A, C), B)=k1_normsp_0(A, k1_bhsp_4(A, D), B)) ) ) ) ) ) ) ) ) ).
fof(t12_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( ( (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k2_normsp_0(A, k1_normsp_0(A, B, D)), k8_nat_1(k1_numbers, C, D))) )  &  (v2_comseq_2(C) & k1_seq_2(C)=k5_numbers) )  =>  (v9_clvect_1(B, A) & k7_clvect_1(A, B)=k4_struct_0(A)) ) ) ) ) ) ) ) ).
fof(d1_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (C=k1_clopban4(A, B) <=>  (! [D] :  (v7_ordinal1(D) => k1_normsp_0(A, C, D)=k1_clvect_1(A, k3_clopban3(A, B, D), k7_xcmplx_0(k6_complex1, k2_newton(D)))) ) ) ) ) ) ) ) ) ).
fof(d2_clopban4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v1_vectsp_1(B) &  (v3_vectsp_1(B) &  (v3_group_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) &  (v2_cfuncdom(B) &  (v5_clopban2(B) & l1_clopban2(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  (E=k2_clopban4(A, B, C, D) <=>  (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(F, A) => k1_normsp_0(B, E, F)=k6_algstr_0(B, k1_clvect_1(B, k3_clopban3(B, C, F), k8_nat_1(k2_numbers, k5_sin_cos(A), F)), k3_clopban3(B, D, k7_nat_d(A, F))))  &  ( ~ (r1_xxreal_0(F, A))  => k1_normsp_0(B, E, F)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_clopban4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v1_vectsp_1(B) &  (v3_vectsp_1(B) &  (v3_group_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) &  (v2_cfuncdom(B) &  (v5_clopban2(B) & l1_clopban2(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  (E=k3_clopban4(A, B, C, D) <=>  (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(F, A) => k1_normsp_0(B, E, F)=k6_algstr_0(B, k1_clvect_1(B, k3_clopban3(B, C, F), k8_nat_1(k2_numbers, k6_sin_cos(A), F)), k3_clopban3(B, D, k7_nat_d(A, F))))  &  ( ~ (r1_xxreal_0(F, A))  => k1_normsp_0(B, E, F)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_clopban4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v1_vectsp_1(B) &  (v3_vectsp_1(B) &  (v3_group_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) &  (v2_cfuncdom(B) &  (v5_clopban2(B) & l1_clopban2(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  (E=k4_clopban4(A, B, C, D) <=>  (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(F, A) => k1_normsp_0(B, E, F)=k6_algstr_0(B, k1_normsp_0(B, k1_clopban4(B, C), F), k1_normsp_0(B, k1_bhsp_4(B, k1_clopban4(B, D)), k7_nat_d(A, F))))  &  ( ~ (r1_xxreal_0(F, A))  => k1_normsp_0(B, E, F)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (E=k5_clopban4(A, B, C, D) <=>  (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(F, D) => k1_normsp_0(A, E, F)=k6_algstr_0(A, k1_normsp_0(A, k1_clopban4(A, B), F), k5_algstr_0(A, k1_normsp_0(A, k1_bhsp_4(A, k1_clopban4(A, C)), D), k1_normsp_0(A, k1_bhsp_4(A, k1_clopban4(A, C)), k7_nat_d(D, F)))))  &  ( ~ (r1_xxreal_0(F, D))  => k1_normsp_0(A, E, F)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (k1_normsp_0(A, k1_clopban4(A, B), k1_nat_1(C, 1))=k6_algstr_0(A, k1_clvect_1(A, B, k7_xcmplx_0(k6_complex1, k1_nat_1(C, 1))), k1_normsp_0(A, k1_clopban4(A, B), C)) &  (k1_normsp_0(A, k1_clopban4(A, B), k5_numbers)=k5_struct_0(A) & r1_xxreal_0(k2_normsp_0(A, k1_normsp_0(A, k1_clopban4(A, B), C)), k8_nat_1(k1_numbers, k4_sin_cos(k2_normsp_0(A, B)), C))) ) ) ) ) ) ) ) ).
fof(t14_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( ~ (r1_xxreal_0(B, k5_numbers))  => k1_normsp_0(A, k4_lopban_4(A, C), B)=k1_normsp_0(A, C, k7_nat_d(B, 1))) ) ) ) ) ) ) ).
fof(t15_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => k1_normsp_0(A, k1_bhsp_4(A, C), B)=k3_rlvect_1(A, k1_normsp_0(A, k1_bhsp_4(A, k4_lopban_4(A, C)), B), k1_normsp_0(A, C, B))) ) ) ) ) ) ).
fof(t16_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_lopban_4(A, C, D) => k3_clopban3(A, k3_rlvect_1(A, C, D), B)=k1_normsp_0(A, k1_bhsp_4(A, k2_clopban4(B, A, C, D)), B)) ) ) ) ) ) ) ) ) ).
fof(t17_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k3_clopban4(D, A, C, B), k6_clvect_1(A, k2_clopban4(D, A, C, B), k7_xcmplx_0(k6_complex1, k2_newton(D))))) ) ) ) ) ) ) ) ).
fof(t18_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_lopban_4(A, C, D) => k1_clvect_1(A, k3_clopban3(A, k3_rlvect_1(A, C, D), B), k7_xcmplx_0(k6_complex1, k2_newton(B)))=k1_normsp_0(A, k1_bhsp_4(A, k3_clopban4(B, A, C, D)), B)) ) ) ) ) ) ) ) ) ).
fof(t19_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (v2_clopban3(k1_clopban4(A, k4_struct_0(A)), A) & k1_clopban3(A, k1_clopban4(A, k4_struct_0(A)))=k5_struct_0(A)) ) ) ).
fof(t20_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_normsp_0(A, k1_clopban4(A, C), k5_numbers)=k5_struct_0(A) & k1_normsp_0(A, k2_clopban4(k5_numbers, A, C, B), k5_numbers)=k5_struct_0(A)) ) ) ) ) ) ) ).
fof(t21_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(E, D) => k1_normsp_0(A, k4_clopban4(k1_nat_1(D, 1), A, C, B), E)=k3_rlvect_1(A, k1_normsp_0(A, k4_clopban4(D, A, C, B), E), k1_normsp_0(A, k3_clopban4(k1_nat_1(D, 1), A, C, B), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) => k1_normsp_0(A, k1_bhsp_4(A, k4_clopban4(k1_nat_1(D, 1), A, C, B)), D)=k3_rlvect_1(A, k1_normsp_0(A, k1_bhsp_4(A, k4_clopban4(D, A, C, B)), D), k1_normsp_0(A, k1_bhsp_4(A, k3_clopban4(k1_nat_1(D, 1), A, C, B)), D))) ) ) ) ) ) ) ) ).
fof(t23_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) => k1_normsp_0(A, k1_clopban4(A, C), D)=k1_normsp_0(A, k3_clopban4(D, A, C, B), D)) ) ) ) ) ) ) ) ).
fof(t24_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_lopban_4(A, C, D) => k1_normsp_0(A, k1_bhsp_4(A, k1_clopban4(A, k3_rlvect_1(A, C, D))), B)=k1_normsp_0(A, k1_bhsp_4(A, k4_clopban4(B, A, C, D)), B)) ) ) ) ) ) ) ) ) ).
fof(t25_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_lopban_4(A, C, D) => k5_algstr_0(A, k6_algstr_0(A, k1_normsp_0(A, k1_bhsp_4(A, k1_clopban4(A, C)), B), k1_normsp_0(A, k1_bhsp_4(A, k1_clopban4(A, D)), B)), k1_normsp_0(A, k1_bhsp_4(A, k1_clopban4(A, k3_rlvect_1(A, C, D))), B))=k1_normsp_0(A, k1_bhsp_4(A, k5_clopban4(A, C, D, B)), B)) ) ) ) ) ) ) ) ) ).
fof(t26_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k5_numbers, k8_nat_1(k1_numbers, k4_sin_cos(k2_normsp_0(A, B)), C))) ) ) ) ) ) ).
fof(t27_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(k2_normsp_0(A, k1_normsp_0(A, k1_bhsp_4(A, k1_clopban4(A, B)), C)), k8_nat_1(k1_numbers, k3_series_1(k4_sin_cos(k2_normsp_0(A, B))), C)) &  (r1_xxreal_0(k8_nat_1(k1_numbers, k3_series_1(k4_sin_cos(k2_normsp_0(A, B))), C), k4_series_1(k4_sin_cos(k2_normsp_0(A, B)))) & r1_xxreal_0(k2_normsp_0(A, k1_normsp_0(A, k1_bhsp_4(A, k1_clopban4(A, B)), C)), k4_series_1(k4_sin_cos(k2_normsp_0(A, B))))) ) ) ) ) ) ) ) ).
fof(t28_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_xxreal_0(1, k4_series_1(k4_sin_cos(k2_normsp_0(A, B))))) ) ) ) ).
fof(t29_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (k9_complex1(k8_nat_1(k1_numbers, k3_series_1(k4_sin_cos(k2_normsp_0(A, B))), D))=k8_nat_1(k1_numbers, k3_series_1(k4_sin_cos(k2_normsp_0(A, B))), D) &  (r1_xxreal_0(D, C) => k9_complex1(k5_real_1(k8_nat_1(k1_numbers, k3_series_1(k4_sin_cos(k2_normsp_0(A, B))), C), k8_nat_1(k1_numbers, k3_series_1(k4_sin_cos(k2_normsp_0(A, B))), D)))=k5_real_1(k8_nat_1(k1_numbers, k3_series_1(k4_sin_cos(k2_normsp_0(A, B))), C), k8_nat_1(k1_numbers, k3_series_1(k4_sin_cos(k2_normsp_0(A, B))), D))) ) ) ) ) ) ) ) ) ) ).
fof(t30_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) => k9_complex1(k8_nat_1(k1_numbers, k3_series_1(k5_normsp_0(A, k5_clopban4(A, C, B, D))), E))=k8_nat_1(k1_numbers, k3_series_1(k5_normsp_0(A, k5_clopban4(A, C, B, D))), E)) ) ) ) ) ) ) ) ) ) ).
fof(t31_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v7_ordinal1(E) =>  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(E, F) & r1_xxreal_0(D, k9_complex1(k8_nat_1(k1_numbers, k3_series_1(k5_normsp_0(A, k5_clopban4(A, C, B, F))), F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (! [E] :  (v7_ordinal1(E) => k1_normsp_0(A, D, E)=k1_normsp_0(A, k1_bhsp_4(A, k5_clopban4(A, C, B, E)), E)) )  =>  (v9_clvect_1(D, A) & k7_clvect_1(A, D)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ).
fof(d6_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (B=k6_clopban4(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, C)=k1_clopban3(A, k1_clopban4(A, C))) ) ) ) ) ) ) ).
fof(d7_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k7_clopban4(A, B)=k3_funct_2(u1_struct_0(A), u1_struct_0(A), k6_clopban4(A), B)) ) ) ) ).
fof(t33_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k7_clopban4(A, B)=k1_clopban3(A, k1_clopban4(A, B))) ) ) ) ).
fof(t34_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_lopban_4(A, B, C) =>  (k7_clopban4(A, k3_rlvect_1(A, B, C))=k6_algstr_0(A, k7_clopban4(A, B), k7_clopban4(A, C)) &  (k7_clopban4(A, k3_rlvect_1(A, C, B))=k6_algstr_0(A, k7_clopban4(A, C), k7_clopban4(A, B)) &  (k7_clopban4(A, k3_rlvect_1(A, B, C))=k7_clopban4(A, k3_rlvect_1(A, C, B)) & r1_lopban_4(A, k7_clopban4(A, B), k7_clopban4(A, C))) ) ) ) ) ) ) ) ) ) ).
fof(t35_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_lopban_4(A, B, C) => k6_algstr_0(A, B, k7_clopban4(A, C))=k6_algstr_0(A, k7_clopban4(A, C), B)) ) ) ) ) ) ) ).
fof(t36_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  => k7_clopban4(A, k4_struct_0(A))=k5_struct_0(A)) ) ).
fof(t37_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k6_algstr_0(A, k7_clopban4(A, B), k7_clopban4(A, k4_algstr_0(A, B)))=k5_struct_0(A) & k6_algstr_0(A, k7_clopban4(A, k4_algstr_0(A, B)), k7_clopban4(A, B))=k5_struct_0(A)) ) ) ) ) ).
fof(t38_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v25_algstr_0(k7_clopban4(A, B), A) &  (k9_algstr_0(A, k7_clopban4(A, B))=k7_clopban4(A, k4_algstr_0(A, B)) &  (v25_algstr_0(k7_clopban4(A, k4_algstr_0(A, B)), A) & k9_algstr_0(A, k7_clopban4(A, k4_algstr_0(A, B)))=k7_clopban4(A, B)) ) ) ) ) ) ) ).
fof(t39_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) => r1_lopban_4(A, k1_clvect_1(A, B, C), k1_clvect_1(A, B, D))) ) ) ) ) ) ) ) ).
fof(t40_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  (k6_algstr_0(A, k7_clopban4(A, k1_clvect_1(A, B, C)), k7_clopban4(A, k1_clvect_1(A, B, D)))=k7_clopban4(A, k1_clvect_1(A, B, k2_xcmplx_0(C, D))) &  (k6_algstr_0(A, k7_clopban4(A, k1_clvect_1(A, B, D)), k7_clopban4(A, k1_clvect_1(A, B, C)))=k7_clopban4(A, k1_clvect_1(A, B, k2_xcmplx_0(D, C))) &  (k7_clopban4(A, k1_clvect_1(A, B, k2_xcmplx_0(C, D)))=k7_clopban4(A, k1_clvect_1(A, B, k2_xcmplx_0(D, C))) & r1_lopban_4(A, k7_clopban4(A, k1_clvect_1(A, B, C)), k7_clopban4(A, k1_clvect_1(A, B, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_clopban4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(f1_s1_clopban4)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(f1_s1_clopban4))))) )  &  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(C, A) => k1_normsp_0(f1_s1_clopban4, B, C)=f2_s1_clopban4(A, C))  &  ( ~ (r1_xxreal_0(C, A))  => k1_normsp_0(f1_s1_clopban4, B, C)=k4_struct_0(f1_s1_clopban4)) ) ) ) ) ) ) ) ).
fof(dt_k1_clopban4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k1_clopban4(A, B)) &  (v1_funct_2(k1_clopban4(A, B), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k1_clopban4(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(dt_f1_s1_clopban4, axiom,  ( ~ (v2_struct_0(f1_s1_clopban4))  &  (v13_algstr_0(f1_s1_clopban4) &  (v2_rlvect_1(f1_s1_clopban4) &  (v3_rlvect_1(f1_s1_clopban4) &  (v4_rlvect_1(f1_s1_clopban4) &  (v3_normsp_0(f1_s1_clopban4) &  (v4_normsp_0(f1_s1_clopban4) &  (v1_vectsp_1(f1_s1_clopban4) &  (v3_vectsp_1(f1_s1_clopban4) &  (v3_group_1(f1_s1_clopban4) &  (v2_clvect_1(f1_s1_clopban4) &  (v3_clvect_1(f1_s1_clopban4) &  (v4_clvect_1(f1_s1_clopban4) &  (v5_clvect_1(f1_s1_clopban4) &  (v8_clvect_1(f1_s1_clopban4) &  (v2_cfuncdom(f1_s1_clopban4) &  (v5_clopban2(f1_s1_clopban4) & l1_clopban2(f1_s1_clopban4)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_f2_s1_clopban4, axiom,  (! [A, B] : m1_subset_1(f2_s1_clopban4(A, B), u1_struct_0(f1_s1_clopban4))) ).
fof(dt_k2_clopban4, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v1_vectsp_1(B) &  (v3_vectsp_1(B) &  (v3_group_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) &  (v2_cfuncdom(B) &  (v5_clopban2(B) & l1_clopban2(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) & m1_subset_1(D, u1_struct_0(B))) ) )  =>  (v1_funct_1(k2_clopban4(A, B, C, D)) &  (v1_funct_2(k2_clopban4(A, B, C, D), k4_ordinal1, u1_struct_0(B)) & m1_subset_1(k2_clopban4(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) ) ) ).
fof(dt_k3_clopban4, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v1_vectsp_1(B) &  (v3_vectsp_1(B) &  (v3_group_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) &  (v2_cfuncdom(B) &  (v5_clopban2(B) & l1_clopban2(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) & m1_subset_1(D, u1_struct_0(B))) ) )  =>  (v1_funct_1(k3_clopban4(A, B, C, D)) &  (v1_funct_2(k3_clopban4(A, B, C, D), k4_ordinal1, u1_struct_0(B)) & m1_subset_1(k3_clopban4(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) ) ) ).
fof(dt_k4_clopban4, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v1_vectsp_1(B) &  (v3_vectsp_1(B) &  (v3_group_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) &  (v2_cfuncdom(B) &  (v5_clopban2(B) & l1_clopban2(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) & m1_subset_1(D, u1_struct_0(B))) ) )  =>  (v1_funct_1(k4_clopban4(A, B, C, D)) &  (v1_funct_2(k4_clopban4(A, B, C, D), k4_ordinal1, u1_struct_0(B)) & m1_subset_1(k4_clopban4(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) ) ) ).
fof(dt_k5_clopban4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) & v7_ordinal1(D)) ) )  =>  (v1_funct_1(k5_clopban4(A, B, C, D)) &  (v1_funct_2(k5_clopban4(A, B, C, D), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k5_clopban4(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(dt_k6_clopban4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k6_clopban4(A)) &  (v1_funct_2(k6_clopban4(A), u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(k6_clopban4(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ).
fof(dt_k7_clopban4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v2_cfuncdom(A) &  (v5_clopban2(A) & l1_clopban2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k7_clopban4(A, B), u1_struct_0(A))) ) ).
fof(fc1_closure1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_funcop_1(B)) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (v1_relat_1(k15_pralg_1(B, C)) &  (v4_relat_1(k15_pralg_1(B, C), A) &  (v1_funct_1(k15_pralg_1(B, C)) & v1_partfun1(k15_pralg_1(B, C), A)) ) ) ) ) ).
fof(rc1_closure1, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (? [C] :  (m1_pboole(C, A, k5_mssubfam(A, B)) &  (v1_relat_1(C) &  (v3_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v2_finset_1(C)) ) ) ) ) ) ) ) ) ).
fof(rc2_closure1, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (? [C] :  (m2_pboole(C, A, k5_mssubfam(A, B), k5_mssubfam(A, B)) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v1_funcop_1(C) &  (v2_funcop_1(C) &  (v1_closure1(C, A, B) &  (v2_closure1(C, A, B) &  (v3_closure1(C, A, B) & v4_closure1(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_closure1, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m2_pboole(C, A, k5_mssubfam(A, B), k5_mssubfam(A, B)) =>  (v4_closure1(C, A, B) => v2_closure1(C, A, B)) ) ) ) ) ).
fof(rc3_closure1, axiom,  (! [A] :  (l1_struct_0(A) =>  (? [B] :  (l1_closure1(B, A) & v5_closure1(B, A)) ) ) ) ).
fof(fc2_closure1, axiom,  (! [A, B] :  ( (l1_struct_0(A) & l2_msualg_1(B, A))  =>  (v5_closure1(k4_closure1(A, B), A) &  (v6_closure1(k4_closure1(A, B), A) &  (v7_closure1(k4_closure1(A, B), A) &  (v8_closure1(k4_closure1(A, B), A) &  (v9_closure1(k4_closure1(A, B), A) &  (v10_closure1(k4_closure1(A, B), A) & v11_closure1(k4_closure1(A, B), A)) ) ) ) ) ) ) ) ).
fof(fc3_closure1, axiom,  (! [A, B] :  ( (l1_struct_0(A) &  (v4_msualg_1(B, A) & l2_msualg_1(B, A)) )  => v4_msualg_1(k4_closure1(A, B), A)) ) ).
fof(rc4_closure1, axiom,  (! [A] :  (l1_struct_0(A) =>  (? [B] :  (l1_closure1(B, A) &  (v4_msualg_1(B, A) &  (v5_closure1(B, A) &  (v6_closure1(B, A) &  (v7_closure1(B, A) &  (v8_closure1(B, A) &  (v9_closure1(B, A) &  (v10_closure1(B, A) & v11_closure1(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc4_closure1, axiom,  (! [A, B] :  ( (l1_struct_0(A) &  (v6_closure1(B, A) & l1_closure1(B, A)) )  => v1_mssubfam(u1_closure1(A, B), u1_struct_0(A), u3_msualg_1(A, B))) ) ).
fof(fc5_closure1, axiom,  (! [A, B] :  ( (l1_struct_0(A) &  (v7_closure1(B, A) & l1_closure1(B, A)) )  => v2_mssubfam(u1_closure1(A, B), u1_struct_0(A), u3_msualg_1(A, B))) ) ).
fof(fc6_closure1, axiom,  (! [A, B] :  ( (l1_struct_0(A) &  (v8_closure1(B, A) & l1_closure1(B, A)) )  => v3_mssubfam(u1_closure1(A, B), u1_struct_0(A), u3_msualg_1(A, B))) ) ).
fof(fc7_closure1, axiom,  (! [A, B] :  ( (l1_struct_0(A) &  (v9_closure1(B, A) & l1_closure1(B, A)) )  => v4_mssubfam(u1_closure1(A, B), u1_struct_0(A), u3_msualg_1(A, B))) ) ).
fof(fc8_closure1, axiom,  (! [A, B] :  ( (l1_struct_0(A) &  (v10_closure1(B, A) & l1_closure1(B, A)) )  => v5_mssubfam(u1_closure1(A, B), u1_struct_0(A), u3_msualg_1(A, B))) ) ).
fof(fc9_closure1, axiom,  (! [A, B] :  ( (l1_struct_0(A) &  (v11_closure1(B, A) & l1_closure1(B, A)) )  => v6_mssubfam(u1_closure1(A, B), u1_struct_0(A), u3_msualg_1(A, B))) ) ).
fof(fc10_closure1, axiom,  (! [A, B, C] :  ( (l1_struct_0(A) &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m3_pboole(C, u1_struct_0(A), k1_mboolean(u1_struct_0(A), B))) )  =>  (v4_msualg_1(g1_closure1(A, B, C), A) & v5_closure1(g1_closure1(A, B, C), A)) ) ) ).
fof(fc11_closure1, axiom,  (! [A, B, C] :  ( (l1_struct_0(A) &  (l2_msualg_1(B, A) &  (v1_mssubfam(C, u1_struct_0(A), u3_msualg_1(A, B)) & m3_pboole(C, u1_struct_0(A), k1_mboolean(u1_struct_0(A), u3_msualg_1(A, B)))) ) )  =>  (v5_closure1(g1_closure1(A, u3_msualg_1(A, B), C), A) & v6_closure1(g1_closure1(A, u3_msualg_1(A, B), C), A)) ) ) ).
fof(fc12_closure1, axiom,  (! [A, B, C] :  ( (l1_struct_0(A) &  (l2_msualg_1(B, A) &  (v2_mssubfam(C, u1_struct_0(A), u3_msualg_1(A, B)) & m3_pboole(C, u1_struct_0(A), k1_mboolean(u1_struct_0(A), u3_msualg_1(A, B)))) ) )  =>  (v5_closure1(g1_closure1(A, u3_msualg_1(A, B), C), A) & v7_closure1(g1_closure1(A, u3_msualg_1(A, B), C), A)) ) ) ).
fof(fc13_closure1, axiom,  (! [A, B, C] :  ( (l1_struct_0(A) &  (l2_msualg_1(B, A) &  (v3_mssubfam(C, u1_struct_0(A), u3_msualg_1(A, B)) & m3_pboole(C, u1_struct_0(A), k1_mboolean(u1_struct_0(A), u3_msualg_1(A, B)))) ) )  =>  (v5_closure1(g1_closure1(A, u3_msualg_1(A, B), C), A) & v8_closure1(g1_closure1(A, u3_msualg_1(A, B), C), A)) ) ) ).
fof(fc14_closure1, axiom,  (! [A, B, C] :  ( (l1_struct_0(A) &  (l2_msualg_1(B, A) &  (v4_mssubfam(C, u1_struct_0(A), u3_msualg_1(A, B)) & m3_pboole(C, u1_struct_0(A), k1_mboolean(u1_struct_0(A), u3_msualg_1(A, B)))) ) )  =>  (v5_closure1(g1_closure1(A, u3_msualg_1(A, B), C), A) & v9_closure1(g1_closure1(A, u3_msualg_1(A, B), C), A)) ) ) ).
fof(fc15_closure1, axiom,  (! [A, B, C] :  ( (l1_struct_0(A) &  (l2_msualg_1(B, A) &  (v5_mssubfam(C, u1_struct_0(A), u3_msualg_1(A, B)) & m3_pboole(C, u1_struct_0(A), k1_mboolean(u1_struct_0(A), u3_msualg_1(A, B)))) ) )  =>  (v5_closure1(g1_closure1(A, u3_msualg_1(A, B), C), A) & v10_closure1(g1_closure1(A, u3_msualg_1(A, B), C), A)) ) ) ).
fof(fc16_closure1, axiom,  (! [A, B, C] :  ( (l1_struct_0(A) &  (l2_msualg_1(B, A) &  (v6_mssubfam(C, u1_struct_0(A), u3_msualg_1(A, B)) & m3_pboole(C, u1_struct_0(A), k1_mboolean(u1_struct_0(A), u3_msualg_1(A, B)))) ) )  =>  (v5_closure1(g1_closure1(A, u3_msualg_1(A, B), C), A) & v11_closure1(g1_closure1(A, u3_msualg_1(A, B), C), A)) ) ) ).
fof(cc2_closure1, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_closure1(B, A) =>  (v7_closure1(B, A) => v6_closure1(B, A)) ) ) ) ) ).
fof(cc3_closure1, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_closure1(B, A) =>  (v9_closure1(B, A) => v8_closure1(B, A)) ) ) ) ) ).
fof(cc4_closure1, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_closure1(B, A) =>  (v9_closure1(B, A) => v10_closure1(B, A)) ) ) ) ) ).
fof(cc5_closure1, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_closure1(B, A) =>  (v7_closure1(B, A) => v11_closure1(B, A)) ) ) ) ) ).
fof(fc17_closure1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v3_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  & m2_pboole(C, A, B, B))  => v3_relat_1(k5_closure1(A, B, C))) ) ).
fof(fc18_closure1, axiom,  (! [A, B, C] :  ( (l1_struct_0(A) &  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  &  (v1_closure1(C, u1_struct_0(A), B) &  (v2_closure1(C, u1_struct_0(A), B) &  (v3_closure1(C, u1_struct_0(A), B) & m2_pboole(C, u1_struct_0(A), k5_mssubfam(u1_struct_0(A), B), k5_mssubfam(u1_struct_0(A), B))) ) ) ) )  =>  (v5_closure1(k6_closure1(A, B, C), A) & v9_closure1(k6_closure1(A, B, C), A)) ) ) ).
fof(fc19_closure1, axiom,  (! [A, B, C] :  ( (l1_struct_0(A) &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (v1_closure1(C, u1_struct_0(A), B) &  (v2_closure1(C, u1_struct_0(A), B) &  (v3_closure1(C, u1_struct_0(A), B) & m2_pboole(C, u1_struct_0(A), k5_mssubfam(u1_struct_0(A), B), k5_mssubfam(u1_struct_0(A), B))) ) ) ) )  =>  (v4_msualg_1(k6_closure1(A, B, C), A) & v9_closure1(k6_closure1(A, B, C), A)) ) ) ).
fof(t2_closure1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  ( (? [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  & r1_pboole(A, C, B)) )  => v2_relat_1(B)) ) ) ) ).
fof(t3_closure1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) ) )  =>  (! [E] :  (m2_pboole(E, A, B, D) =>  (r1_pboole(A, C, B) => r1_pboole(A, k16_pralg_1(A, E, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(t4_closure1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_funcop_1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v1_funcop_1(C)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r1_pboole(A, D, k1_funct_6(C)) => k16_pralg_1(A, B, k16_pralg_1(A, C, D))=k15_pralg_1(k8_pboole(C, B), D)) ) ) ) ) ) ) ) ).
fof(t5_closure1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_funcop_1(B)) ) ) )  =>  (v1_msualg_3(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ( (r1_pboole(A, C, k1_funct_6(B)) &  (r1_pboole(A, D, k1_funct_6(B)) & r6_pboole(A, k16_pralg_1(A, B, C), k16_pralg_1(A, B, D))) )  => r6_pboole(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t6_closure1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_funcop_1(B)) ) ) )  =>  ( (v2_relat_1(k1_funct_6(B)) &  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ( (r1_pboole(A, C, k1_funct_6(B)) &  (r1_pboole(A, D, k1_funct_6(B)) & r6_pboole(A, k16_pralg_1(A, B, C), k16_pralg_1(A, B, D))) )  => r6_pboole(A, C, D)) ) ) ) ) )  => v1_msualg_3(B)) ) ) ) ).
fof(t7_closure1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  (m2_pboole(D, A, B, C) =>  (! [E] :  (m2_pboole(E, A, B, C) =>  ( (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) & v1_partfun1(F, A)) ) )  =>  (r1_pboole(A, F, B) => r6_pboole(A, k16_pralg_1(A, D, F), k16_pralg_1(A, E, F))) ) )  => r6_pboole(A, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(d1_closure1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m2_pboole(C, A, k5_mssubfam(A, B), k5_mssubfam(A, B)) =>  (v1_closure1(C, A, B) <=>  (! [D] :  (m1_pboole(D, A, k5_mssubfam(A, B)) => r2_pboole(A, D, k2_closure1(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(d2_closure1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m2_pboole(C, A, k5_mssubfam(A, B), k5_mssubfam(A, B)) =>  (v2_closure1(C, A, B) <=>  (! [D] :  (m1_pboole(D, A, k5_mssubfam(A, B)) =>  (! [E] :  (m1_pboole(E, A, k5_mssubfam(A, B)) =>  (r2_pboole(A, D, E) => r2_pboole(A, k2_closure1(A, B, C, D), k2_closure1(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_closure1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m2_pboole(C, A, k5_mssubfam(A, B), k5_mssubfam(A, B)) =>  (v3_closure1(C, A, B) <=>  (! [D] :  (m1_pboole(D, A, k5_mssubfam(A, B)) => r6_pboole(A, k2_closure1(A, B, C, D), k2_closure1(A, B, C, k2_closure1(A, B, C, D)))) ) ) ) ) ) ) ) ).
fof(d4_closure1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m2_pboole(C, A, k5_mssubfam(A, B), k5_mssubfam(A, B)) =>  (v4_closure1(C, A, B) <=>  (! [D] :  (m1_pboole(D, A, k5_mssubfam(A, B)) =>  (! [E] :  (m1_pboole(E, A, k5_mssubfam(A, B)) => r6_pboole(A, k16_pralg_1(A, C, k2_pboole(A, D, E)), k2_pboole(A, k2_closure1(A, B, C, D), k2_closure1(A, B, C, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t8_closure1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  (m1_pboole(C, A, B) => r6_pboole(A, C, k1_closure1(A, B, B, k2_msualg_3(A, B), C))) ) ) ) ) ).
fof(t9_closure1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  (m1_pboole(C, A, B) =>  (! [D] :  (m1_pboole(D, A, B) =>  (r2_pboole(A, C, D) => r2_pboole(A, k1_closure1(A, B, B, k2_msualg_3(A, B), C), k1_closure1(A, B, B, k2_msualg_3(A, B), D))) ) ) ) ) ) ) ) ).
fof(t10_closure1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  (m1_pboole(C, A, B) =>  (! [D] :  (m1_pboole(D, A, B) =>  (m1_pboole(k2_pboole(A, C, D), A, B) => r6_pboole(A, k16_pralg_1(A, k2_msualg_3(A, B), k2_pboole(A, C, D)), k2_pboole(A, k1_closure1(A, B, B, k2_msualg_3(A, B), C), k1_closure1(A, B, B, k2_msualg_3(A, B), D)))) ) ) ) ) ) ) ) ).
fof(t11_closure1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_pboole(C, A, k5_mssubfam(A, B)) =>  (! [D] :  (! [E] :  ~ ( (r2_tarski(D, A) &  (r2_tarski(E, k1_funct_1(k2_closure1(A, B, k2_msualg_3(A, k5_mssubfam(A, B)), C), D)) &  (! [F] :  ( (v2_finset_1(F) & m1_pboole(F, A, k5_mssubfam(A, B)))  =>  ~ ( (r2_pboole(A, F, C) & r2_tarski(E, k1_funct_1(k2_closure1(A, B, k2_msualg_3(A, k5_mssubfam(A, B)), F), D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_closure1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v1_closure1(k2_msualg_3(A, k5_mssubfam(A, B)), A, B) & m2_pboole(k2_msualg_3(A, k5_mssubfam(A, B)), A, k5_mssubfam(A, B), k5_mssubfam(A, B))) ) ) ) ).
fof(t13_closure1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v2_closure1(k2_msualg_3(A, k5_mssubfam(A, B)), A, B) & m2_pboole(k2_msualg_3(A, k5_mssubfam(A, B)), A, k5_mssubfam(A, B), k5_mssubfam(A, B))) ) ) ) ).
fof(t14_closure1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v3_closure1(k2_msualg_3(A, k5_mssubfam(A, B)), A, B) & m2_pboole(k2_msualg_3(A, k5_mssubfam(A, B)), A, k5_mssubfam(A, B), k5_mssubfam(A, B))) ) ) ) ).
fof(t15_closure1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v4_closure1(k2_msualg_3(A, k5_mssubfam(A, B)), A, B) & m2_pboole(k2_msualg_3(A, k5_mssubfam(A, B)), A, k5_mssubfam(A, B), k5_mssubfam(A, B))) ) ) ) ).
fof(t16_closure1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m2_pboole(C, A, k5_mssubfam(A, B), k5_mssubfam(A, B)) =>  (! [D] :  (m1_pboole(D, A, k5_mssubfam(A, B)) =>  ( (r6_pboole(A, D, B) & v1_closure1(C, A, B))  => r6_pboole(A, D, k2_closure1(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t17_closure1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m2_pboole(C, A, k5_mssubfam(A, B), k5_mssubfam(A, B)) =>  ( (v1_closure1(C, A, B) &  (! [D] :  (m1_pboole(D, A, k5_mssubfam(A, B)) => r2_pboole(A, k2_closure1(A, B, C, D), D)) ) )  => v3_closure1(C, A, B)) ) ) ) ) ) ).
fof(t18_closure1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m2_pboole(C, A, k5_mssubfam(A, B), k5_mssubfam(A, B)) =>  (! [D] :  (m1_pboole(D, A, k5_mssubfam(A, B)) =>  (! [E] :  (m1_pboole(E, A, k5_mssubfam(A, B)) =>  (v2_closure1(C, A, B) => r2_pboole(A, k16_pralg_1(A, C, k3_pboole(A, D, E)), k3_pboole(A, k2_closure1(A, B, C, D), k2_closure1(A, B, C, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t19_closure1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m2_pboole(C, A, k5_mssubfam(A, B), k5_mssubfam(A, B)) =>  (! [D] :  (m1_pboole(D, A, k5_mssubfam(A, B)) =>  (! [E] :  (m1_pboole(E, A, k5_mssubfam(A, B)) =>  (v4_closure1(C, A, B) => r2_pboole(A, k4_pboole(A, k2_closure1(A, B, C, D), k2_closure1(A, B, C, E)), k16_pralg_1(A, C, k4_pboole(A, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t20_closure1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m2_pboole(C, A, k5_mssubfam(A, B), k5_mssubfam(A, B)) =>  (! [D] :  (m2_pboole(D, A, k5_mssubfam(A, B), k5_mssubfam(A, B)) =>  ( (v1_closure1(C, A, B) & v1_closure1(D, A, B))  => v1_closure1(k3_closure1(A, B, D, C), A, B)) ) ) ) ) ) ) ) ).
fof(t21_closure1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m2_pboole(C, A, k5_mssubfam(A, B), k5_mssubfam(A, B)) =>  (! [D] :  (m2_pboole(D, A, k5_mssubfam(A, B), k5_mssubfam(A, B)) =>  ( (v2_closure1(C, A, B) & v2_closure1(D, A, B))  => v2_closure1(k3_closure1(A, B, D, C), A, B)) ) ) ) ) ) ) ) ).
fof(t22_closure1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m2_pboole(C, A, k5_mssubfam(A, B), k5_mssubfam(A, B)) =>  (! [D] :  (m2_pboole(D, A, k5_mssubfam(A, B), k5_mssubfam(A, B)) =>  ( (v3_closure1(C, A, B) &  (v3_closure1(D, A, B) & r6_pboole(A, k3_closure1(A, B, D, C), k3_closure1(A, B, C, D))) )  => v3_closure1(k3_closure1(A, B, D, C), A, B)) ) ) ) ) ) ) ) ).
fof(t23_closure1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m2_pboole(C, A, k5_mssubfam(A, B), k5_mssubfam(A, B)) =>  (! [D] :  (m2_pboole(D, A, k5_mssubfam(A, B), k5_mssubfam(A, B)) =>  ( (v4_closure1(C, A, B) & v4_closure1(D, A, B))  => v4_closure1(k3_closure1(A, B, D, C), A, B)) ) ) ) ) ) ) ) ).
fof(t24_closure1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, B)) ) )  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  (m2_pboole(E, B, k5_mssubfam(B, C), k5_mssubfam(B, C)) =>  ( (v1_closure1(E, B, C) &  (r2_tarski(A, B) & D=k1_funct_1(E, A)) )  =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(k1_funct_1(C, A)), k9_setfam_1(k1_funct_1(C, A))) => r1_tarski(F, k1_funct_1(D, F))) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_closure1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, B)) ) )  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  (m2_pboole(E, B, k5_mssubfam(B, C), k5_mssubfam(B, C)) =>  ( (v2_closure1(E, B, C) &  (r2_tarski(A, B) & D=k1_funct_1(E, A)) )  =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(k1_funct_1(C, A)), k9_setfam_1(k1_funct_1(C, A))) =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k1_funct_1(C, A)), k9_setfam_1(k1_funct_1(C, A))) =>  (r1_tarski(F, G) => r1_tarski(k1_funct_1(D, F), k1_funct_1(D, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_closure1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, B)) ) )  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  (m2_pboole(E, B, k5_mssubfam(B, C), k5_mssubfam(B, C)) =>  ( (v3_closure1(E, B, C) &  (r2_tarski(A, B) & D=k1_funct_1(E, A)) )  =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(k1_funct_1(C, A)), k9_setfam_1(k1_funct_1(C, A))) => k1_funct_1(D, F)=k1_funct_1(D, k1_funct_1(D, F))) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_closure1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, B)) ) )  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  (m2_pboole(E, B, k5_mssubfam(B, C), k5_mssubfam(B, C)) =>  ( (v4_closure1(E, B, C) &  (r2_tarski(A, B) & D=k1_funct_1(E, A)) )  =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(k1_funct_1(C, A)), k9_setfam_1(k1_funct_1(C, A))) =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k1_funct_1(C, A)), k9_setfam_1(k1_funct_1(C, A))) => k1_funct_1(D, k4_subset_1(k1_funct_1(C, A), F, G))=k2_xboole_0(k1_funct_1(D, F), k1_funct_1(D, G))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_closure1, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_closure1(B, A) =>  (v6_closure1(B, A) <=> v1_mssubfam(u1_closure1(A, B), u1_struct_0(A), u3_msualg_1(A, B))) ) ) ) ) ).
fof(d6_closure1, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_closure1(B, A) =>  (v7_closure1(B, A) <=> v2_mssubfam(u1_closure1(A, B), u1_struct_0(A), u3_msualg_1(A, B))) ) ) ) ) ).
fof(d7_closure1, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_closure1(B, A) =>  (v8_closure1(B, A) <=> v3_mssubfam(u1_closure1(A, B), u1_struct_0(A), u3_msualg_1(A, B))) ) ) ) ) ).
fof(d8_closure1, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_closure1(B, A) =>  (v9_closure1(B, A) <=> v4_mssubfam(u1_closure1(A, B), u1_struct_0(A), u3_msualg_1(A, B))) ) ) ) ) ).
fof(d9_closure1, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_closure1(B, A) =>  (v10_closure1(B, A) <=> v5_mssubfam(u1_closure1(A, B), u1_struct_0(A), u3_msualg_1(A, B))) ) ) ) ) ).
fof(d10_closure1, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_closure1(B, A) =>  (v11_closure1(B, A) <=> v6_mssubfam(u1_closure1(A, B), u1_struct_0(A), u3_msualg_1(A, B))) ) ) ) ) ).
fof(d11_closure1, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l2_msualg_1(B, A) => k4_closure1(A, B)=g1_closure1(A, u3_msualg_1(A, B), k5_mssubfam(u1_struct_0(A), u3_msualg_1(A, B)))) ) ) ) ).
fof(d12_closure1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m2_pboole(C, A, B, B) =>  (! [D] :  (m3_pboole(D, A, B) =>  (D=k5_closure1(A, B, C) <=>  (! [E] :  (! [F] :  (r2_hidden(F, A) =>  (r2_tarski(E, k1_funct_1(D, F)) <=>  (? [G] :  ( (v1_relat_1(G) & v1_funct_1(G))  &  (G=k1_funct_1(C, F) &  (r2_tarski(E, k9_xtuple_0(G)) & k1_funct_1(G, E)=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_closure1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  (m2_pboole(D, A, C, C) =>  ( (r1_pboole(A, B, C) & r6_pboole(A, k16_pralg_1(A, D, B), B))  <=> r1_pboole(A, B, k5_closure1(A, C, D))) ) ) ) ) ) ) ) ).
fof(t29_closure1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => r6_pboole(A, k5_closure1(A, B, k2_msualg_3(A, B)), B)) ) ) ).
fof(t30_closure1, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (! [C] :  ( (v1_closure1(C, u1_struct_0(A), B) &  (v2_closure1(C, u1_struct_0(A), B) & m2_pboole(C, u1_struct_0(A), k5_mssubfam(u1_struct_0(A), B), k5_mssubfam(u1_struct_0(A), B))) )  =>  (! [D] :  (m3_pboole(D, u1_struct_0(A), k1_mboolean(u1_struct_0(A), B)) =>  (r6_pboole(u1_struct_0(A), D, k5_closure1(u1_struct_0(A), k5_mssubfam(u1_struct_0(A), B), C)) =>  (v9_closure1(g1_closure1(A, B, D), A) & l1_closure1(g1_closure1(A, B, D), A)) ) ) ) ) ) ) ) ) ) ).
fof(t31_closure1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v5_mssubfam(C, A, B) & m3_pboole(C, A, k1_mboolean(A, B)))  =>  (! [D] :  (m1_pboole(D, A, k5_mssubfam(A, B)) =>  (? [E] :  ( (v2_relat_1(E) & m3_pboole(E, A, k1_mboolean(A, B)))  &  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) & v1_partfun1(F, A)) ) )  =>  (r1_pboole(A, F, E) <=>  (r1_pboole(A, F, C) & r2_pboole(A, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_closure1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v5_mssubfam(C, A, B) & m3_pboole(C, A, k1_mboolean(A, B)))  =>  (? [D] :  (m2_pboole(D, A, k5_mssubfam(A, B), k5_mssubfam(A, B)) &  (! [E] :  (m1_pboole(E, A, k5_mssubfam(A, B)) =>  (! [F] :  ( (v2_relat_1(F) & m3_pboole(F, A, k1_mboolean(A, B)))  =>  ( (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, A) &  (v1_funct_1(G) & v1_partfun1(G, A)) ) )  =>  (r1_pboole(A, G, F) <=>  (r1_pboole(A, G, C) & r2_pboole(A, E, G)) ) ) )  => r6_pboole(A, k2_closure1(A, B, D, E), k4_mssubfam(A, B, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_closure1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v5_mssubfam(C, A, B) & m3_pboole(C, A, k1_mboolean(A, B)))  =>  (! [D] :  (m1_pboole(D, A, k5_mssubfam(A, B)) =>  (! [E] :  (m2_pboole(E, A, k5_mssubfam(A, B), k5_mssubfam(A, B)) =>  ( (r1_pboole(A, D, C) &  (! [F] :  (m1_pboole(F, A, k5_mssubfam(A, B)) =>  (! [G] :  ( (v2_relat_1(G) & m3_pboole(G, A, k1_mboolean(A, B)))  =>  ( (! [H] :  ( (v1_relat_1(H) &  (v4_relat_1(H, A) &  (v1_funct_1(H) & v1_partfun1(H, A)) ) )  =>  (r1_pboole(A, H, G) <=>  (r1_pboole(A, H, C) & r2_pboole(A, F, H)) ) ) )  => r6_pboole(A, k2_closure1(A, B, E, F), k4_mssubfam(A, B, G))) ) ) ) ) )  => r6_pboole(A, k2_closure1(A, B, E, D), D)) ) ) ) ) ) ) ) ) ) ).
fof(t35_closure1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v4_mssubfam(C, A, B) & m3_pboole(C, A, k1_mboolean(A, B)))  =>  (! [D] :  (m1_pboole(D, A, k5_mssubfam(A, B)) =>  (! [E] :  (m2_pboole(E, A, k5_mssubfam(A, B), k5_mssubfam(A, B)) =>  ( (r6_pboole(A, k2_closure1(A, B, E, D), D) &  (! [F] :  (m1_pboole(F, A, k5_mssubfam(A, B)) =>  (! [G] :  ( (v2_relat_1(G) & m3_pboole(G, A, k1_mboolean(A, B)))  =>  ( (! [H] :  ( (v1_relat_1(H) &  (v4_relat_1(H, A) &  (v1_funct_1(H) & v1_partfun1(H, A)) ) )  =>  (r1_pboole(A, H, G) <=>  (r1_pboole(A, H, C) & r2_pboole(A, F, H)) ) ) )  => r6_pboole(A, k2_closure1(A, B, E, F), k4_mssubfam(A, B, G))) ) ) ) ) )  => r1_pboole(A, D, C)) ) ) ) ) ) ) ) ) ) ).
fof(t36_closure1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v5_mssubfam(C, A, B) & m3_pboole(C, A, k1_mboolean(A, B)))  =>  (! [D] :  (m2_pboole(D, A, k5_mssubfam(A, B), k5_mssubfam(A, B)) =>  ( (! [E] :  (m1_pboole(E, A, k5_mssubfam(A, B)) =>  (! [F] :  ( (v2_relat_1(F) & m3_pboole(F, A, k1_mboolean(A, B)))  =>  ( (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, A) &  (v1_funct_1(G) & v1_partfun1(G, A)) ) )  =>  (r1_pboole(A, G, F) <=>  (r1_pboole(A, G, C) & r2_pboole(A, E, G)) ) ) )  => r6_pboole(A, k2_closure1(A, B, D, E), k4_mssubfam(A, B, F))) ) ) ) )  =>  (v1_closure1(D, A, B) & v2_closure1(D, A, B)) ) ) ) ) ) ) ) ) ).
fof(t37_closure1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v4_mssubfam(C, A, B) & m3_pboole(C, A, k1_mboolean(A, B)))  =>  (! [D] :  (m2_pboole(D, A, k5_mssubfam(A, B), k5_mssubfam(A, B)) =>  ( (! [E] :  (m1_pboole(E, A, k5_mssubfam(A, B)) =>  (! [F] :  ( (v2_relat_1(F) & m3_pboole(F, A, k1_mboolean(A, B)))  =>  ( (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, A) &  (v1_funct_1(G) & v1_partfun1(G, A)) ) )  =>  (r1_pboole(A, G, F) <=>  (r1_pboole(A, G, C) & r2_pboole(A, E, G)) ) ) )  => r6_pboole(A, k2_closure1(A, B, D, E), k4_mssubfam(A, B, F))) ) ) ) )  => v3_closure1(D, A, B)) ) ) ) ) ) ) ) ).
fof(t38_closure1, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  ( (v9_closure1(B, A) & l1_closure1(B, A))  =>  (! [C] :  (m2_pboole(C, u1_struct_0(A), k5_mssubfam(u1_struct_0(A), u3_msualg_1(A, B)), k5_mssubfam(u1_struct_0(A), u3_msualg_1(A, B))) =>  ( (! [D] :  (m1_pboole(D, u1_struct_0(A), k5_mssubfam(u1_struct_0(A), u3_msualg_1(A, B))) =>  (! [E] :  ( (v2_relat_1(E) & m3_pboole(E, u1_struct_0(A), k1_mboolean(u1_struct_0(A), u3_msualg_1(A, B))))  =>  ( (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, u1_struct_0(A)) &  (v1_funct_1(F) & v1_partfun1(F, u1_struct_0(A))) ) )  =>  (r1_pboole(u1_struct_0(A), F, E) <=>  (r1_pboole(u1_struct_0(A), F, u1_closure1(A, B)) & r2_pboole(u1_struct_0(A), D, F)) ) ) )  => r6_pboole(u1_struct_0(A), k2_closure1(u1_struct_0(A), u3_msualg_1(A, B), C, D), k4_mssubfam(u1_struct_0(A), u3_msualg_1(A, B), E))) ) ) ) )  =>  (v1_closure1(C, u1_struct_0(A), u3_msualg_1(A, B)) &  (v2_closure1(C, u1_struct_0(A), u3_msualg_1(A, B)) &  (v3_closure1(C, u1_struct_0(A), u3_msualg_1(A, B)) & m2_pboole(C, u1_struct_0(A), k5_mssubfam(u1_struct_0(A), u3_msualg_1(A, B)), k5_mssubfam(u1_struct_0(A), u3_msualg_1(A, B)))) ) ) ) ) ) ) ) ) ) ).
fof(d13_closure1, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (! [C] :  ( (v1_closure1(C, u1_struct_0(A), B) &  (v2_closure1(C, u1_struct_0(A), B) &  (v3_closure1(C, u1_struct_0(A), B) & m2_pboole(C, u1_struct_0(A), k5_mssubfam(u1_struct_0(A), B), k5_mssubfam(u1_struct_0(A), B))) ) )  =>  (! [D] :  ( (v9_closure1(D, A) & l1_closure1(D, A))  =>  (D=k6_closure1(A, B, C) <=>  (? [E] :  (m3_pboole(E, u1_struct_0(A), k1_mboolean(u1_struct_0(A), B)) &  (r6_pboole(u1_struct_0(A), E, k5_closure1(u1_struct_0(A), k5_mssubfam(u1_struct_0(A), B), C)) & D=g1_closure1(A, B, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_closure1, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  ( (v9_closure1(B, A) & l1_closure1(B, A))  =>  (! [C] :  ( (v1_closure1(C, u1_struct_0(A), u3_msualg_1(A, B)) &  (v2_closure1(C, u1_struct_0(A), u3_msualg_1(A, B)) &  (v3_closure1(C, u1_struct_0(A), u3_msualg_1(A, B)) & m2_pboole(C, u1_struct_0(A), k5_mssubfam(u1_struct_0(A), u3_msualg_1(A, B)), k5_mssubfam(u1_struct_0(A), u3_msualg_1(A, B)))) ) )  =>  (C=k7_closure1(A, B) <=>  (! [D] :  (m1_pboole(D, u1_struct_0(A), k5_mssubfam(u1_struct_0(A), u3_msualg_1(A, B))) =>  (! [E] :  ( (v2_relat_1(E) & m3_pboole(E, u1_struct_0(A), k1_mboolean(u1_struct_0(A), u3_msualg_1(A, B))))  =>  ( (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, u1_struct_0(A)) &  (v1_funct_1(F) & v1_partfun1(F, u1_struct_0(A))) ) )  =>  (r1_pboole(u1_struct_0(A), F, E) <=>  (r1_pboole(u1_struct_0(A), F, u1_closure1(A, B)) & r2_pboole(u1_struct_0(A), D, F)) ) ) )  => r6_pboole(u1_struct_0(A), k2_closure1(u1_struct_0(A), u3_msualg_1(A, B), C, D), k4_mssubfam(u1_struct_0(A), u3_msualg_1(A, B), E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_closure1, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (! [C] :  ( (v1_closure1(C, u1_struct_0(A), B) &  (v2_closure1(C, u1_struct_0(A), B) &  (v3_closure1(C, u1_struct_0(A), B) & m2_pboole(C, u1_struct_0(A), k5_mssubfam(u1_struct_0(A), B), k5_mssubfam(u1_struct_0(A), B))) ) )  => r6_pboole(u1_struct_0(A), k7_closure1(A, k6_closure1(A, B, C)), C)) ) ) ) ) ) ).
fof(t40_closure1, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  ( (v9_closure1(B, A) & l1_closure1(B, A))  => k6_closure1(A, u3_msualg_1(A, B), k7_closure1(A, B))=g1_closure1(A, u3_msualg_1(A, B), u1_closure1(A, B))) ) ) ) ).
fof(s1_closure1, axiom,  ( (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, f1_s1_closure1) &  (v1_funct_1(A) & v1_partfun1(A, f1_s1_closure1)) ) )  =>  (r1_pboole(f1_s1_closure1, A, f2_s1_closure1) <=>  (r1_pboole(f1_s1_closure1, A, f3_s1_closure1) & p1_s1_closure1(A)) ) ) )  => r2_pboole(f1_s1_closure1, f2_s1_closure1, f3_s1_closure1)) ).
fof(dt_f2_s1_closure1, axiom,  (v1_relat_1(f2_s1_closure1) &  (v2_relat_1(f2_s1_closure1) &  (v4_relat_1(f2_s1_closure1, f1_s1_closure1) &  (v1_funct_1(f2_s1_closure1) & v1_partfun1(f2_s1_closure1, f1_s1_closure1)) ) ) ) ).
fof(dt_f3_s1_closure1, axiom,  (v1_relat_1(f3_s1_closure1) &  (v4_relat_1(f3_s1_closure1, f1_s1_closure1) &  (v1_funct_1(f3_s1_closure1) & v1_partfun1(f3_s1_closure1, f1_s1_closure1)) ) ) ).
fof(dt_k1_closure1, axiom,  (! [A, B, C, D, E] :  ( ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  &  (m2_pboole(D, A, B, C) & m1_pboole(E, A, B)) ) )  => m1_pboole(k1_closure1(A, B, C, D, E), A, C)) ) ).
fof(redefinition_k1_closure1, axiom,  (! [A, B, C, D, E] :  ( ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  &  (m2_pboole(D, A, B, C) & m1_pboole(E, A, B)) ) )  => k1_closure1(A, B, C, D, E)=k15_pralg_1(D, E)) ) ).
fof(dt_k2_closure1, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (m2_pboole(C, A, k5_mssubfam(A, B), k5_mssubfam(A, B)) & m1_pboole(D, A, k5_mssubfam(A, B))) )  => m1_pboole(k2_closure1(A, B, C, D), A, k5_mssubfam(A, B))) ) ).
fof(redefinition_k2_closure1, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (m2_pboole(C, A, k5_mssubfam(A, B), k5_mssubfam(A, B)) & m1_pboole(D, A, k5_mssubfam(A, B))) )  => k2_closure1(A, B, C, D)=k15_pralg_1(C, D)) ) ).
fof(dt_k3_closure1, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (m2_pboole(C, A, k5_mssubfam(A, B), k5_mssubfam(A, B)) & m2_pboole(D, A, k5_mssubfam(A, B), k5_mssubfam(A, B))) )  => m2_pboole(k3_closure1(A, B, C, D), A, k5_mssubfam(A, B), k5_mssubfam(A, B))) ) ).
fof(redefinition_k3_closure1, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (m2_pboole(C, A, k5_mssubfam(A, B), k5_mssubfam(A, B)) & m2_pboole(D, A, k5_mssubfam(A, B), k5_mssubfam(A, B))) )  => k3_closure1(A, B, C, D)=k8_pboole(C, D)) ) ).
fof(abstractness_v5_closure1, axiom,  (! [A, B] :  ( (l1_struct_0(A) & l1_closure1(B, A))  =>  (v5_closure1(B, A) => B=g1_closure1(A, u3_msualg_1(A, B), u1_closure1(A, B))) ) ) ).
fof(dt_l1_closure1, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_closure1(B, A) => l2_msualg_1(B, A)) ) ) ) ).
fof(existence_l1_closure1, axiom,  (! [A] :  (l1_struct_0(A) =>  (? [B] : l1_closure1(B, A)) ) ) ).
fof(dt_g1_closure1, axiom,  (! [A, B, C] :  ( (l1_struct_0(A) &  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  & m3_pboole(C, u1_struct_0(A), k1_mboolean(u1_struct_0(A), B))) )  =>  (v5_closure1(g1_closure1(A, B, C), A) & l1_closure1(g1_closure1(A, B, C), A)) ) ) ).
fof(free_g1_closure1, axiom,  (! [A, B, C] :  ( (l1_struct_0(A) &  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  & m3_pboole(C, u1_struct_0(A), k1_mboolean(u1_struct_0(A), B))) )  =>  (! [D, E, F] :  (g1_closure1(A, B, C)=g1_closure1(D, E, F) =>  (A=D &  (B=E & C=F) ) ) ) ) ) ).
fof(dt_u1_closure1, axiom,  (! [A, B] :  ( (l1_struct_0(A) & l1_closure1(B, A))  => m3_pboole(u1_closure1(A, B), u1_struct_0(A), k1_mboolean(u1_struct_0(A), u3_msualg_1(A, B)))) ) ).
fof(dt_k4_closure1, axiom,  (! [A, B] :  ( (l1_struct_0(A) & l2_msualg_1(B, A))  => l1_closure1(k4_closure1(A, B), A)) ) ).
fof(dt_k5_closure1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  & m2_pboole(C, A, B, B))  => m3_pboole(k5_closure1(A, B, C), A, B)) ) ).
fof(dt_k6_closure1, axiom,  (! [A, B, C] :  ( (l1_struct_0(A) &  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  &  (v1_closure1(C, u1_struct_0(A), B) &  (v2_closure1(C, u1_struct_0(A), B) &  (v3_closure1(C, u1_struct_0(A), B) & m2_pboole(C, u1_struct_0(A), k5_mssubfam(u1_struct_0(A), B), k5_mssubfam(u1_struct_0(A), B))) ) ) ) )  =>  (v9_closure1(k6_closure1(A, B, C), A) & l1_closure1(k6_closure1(A, B, C), A)) ) ) ).
fof(dt_k7_closure1, axiom,  (! [A, B] :  ( (l1_struct_0(A) &  (v9_closure1(B, A) & l1_closure1(B, A)) )  =>  (v1_closure1(k7_closure1(A, B), u1_struct_0(A), u3_msualg_1(A, B)) &  (v2_closure1(k7_closure1(A, B), u1_struct_0(A), u3_msualg_1(A, B)) &  (v3_closure1(k7_closure1(A, B), u1_struct_0(A), u3_msualg_1(A, B)) & m2_pboole(k7_closure1(A, B), u1_struct_0(A), k5_mssubfam(u1_struct_0(A), u3_msualg_1(A, B)), k5_mssubfam(u1_struct_0(A), u3_msualg_1(A, B)))) ) ) ) ) ).
fof(t1_closure1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (r1_tarski(B, C) => r1_tarski(a_2_0_closure1(A, C), a_2_0_closure1(A, B))) ) ) ) ) ).
fof(t32_closure1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v5_mssubfam(C, A, B) & m3_pboole(C, A, k1_mboolean(A, B)))  =>  (! [D] :  (m1_pboole(D, A, k5_mssubfam(A, B)) =>  (! [E] :  ( (v2_relat_1(E) & m3_pboole(E, A, k1_mboolean(A, B)))  =>  ( (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) & v1_partfun1(F, A)) ) )  =>  (r1_pboole(A, F, E) <=>  (r1_pboole(A, F, C) & r2_pboole(A, D, F)) ) ) )  =>  (! [F] :  (! [G] :  ( ~ (v1_xboole_0(G))  =>  ( (r2_tarski(F, A) & G=k1_funct_1(C, F))  => k1_funct_1(E, F)=a_5_0_closure1(A, B, D, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_closure1, axiom,  (! [A, B, C] :  ( ~ (v1_xboole_0(B))  =>  (r2_hidden(A, a_2_0_closure1(B, C)) <=>  (? [D] :  (m1_subset_1(D, B) &  (A=D & r1_tarski(C, D)) ) ) ) ) ) ).
fof(fraenkel_a_5_0_closure1, axiom,  (! [A, B, C, D, E, F] :  ( ( (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, B)) ) )  &  (m1_pboole(D, B, k5_mssubfam(B, C)) &  ~ (v1_xboole_0(F)) ) )  =>  (r2_hidden(A, a_5_0_closure1(B, C, D, E, F)) <=>  (? [G] :  (m1_subset_1(G, F) &  (A=G & r1_tarski(k1_funct_1(D, E), G)) ) ) ) ) ) ).
fof(fc1_closure2, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  ( ~ (v1_xboole_0(k1_closure2(A, B)))  &  (v4_funct_1(k1_closure2(A, B)) & v2_card_3(k1_closure2(A, B))) ) ) ) ).
fof(rc1_closure2, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))) &  ( ~ (v1_xboole_0(C))  &  (v4_funct_1(C) & v2_card_3(C)) ) ) ) ) ) ).
fof(rc2_closure2, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))) &  (v1_xboole_0(C) &  (v4_funct_1(C) & v1_finset_1(C)) ) ) ) ) ) ).
fof(fc2_closure2, axiom,  (! [A] :  ( (v1_xboole_0(A) & v4_funct_1(A))  =>  (v1_xboole_0(k3_closure2(A)) &  (v1_relat_1(k3_closure2(A)) & v1_funct_1(k3_closure2(A))) ) ) ) ).
fof(fc3_closure2, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_xboole_0(C) & m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B)))) )  =>  (v1_relat_1(k4_closure2(A, B, C)) &  (v3_relat_1(k4_closure2(A, B, C)) &  (v4_relat_1(k4_closure2(A, B, C), A) &  (v1_funct_1(k4_closure2(A, B, C)) & v1_partfun1(k4_closure2(A, B, C), A)) ) ) ) ) ) ).
fof(fc4_closure2, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B)))) )  =>  (v1_relat_1(k4_closure2(A, B, C)) &  (v2_relat_1(k4_closure2(A, B, C)) &  (v4_relat_1(k4_closure2(A, B, C), A) &  (v1_funct_1(k4_closure2(A, B, C)) & v1_partfun1(k4_closure2(A, B, C), A)) ) ) ) ) ) ).
fof(rc3_closure2, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))) &  ( ~ (v1_xboole_0(C))  &  (v4_funct_1(C) &  (v2_card_3(C) &  (v1_closure2(C, A, B) &  (v2_closure2(C, A, B) &  (v3_closure2(C, A, B) &  (v4_closure2(C, A, B) &  (v5_closure2(C, A, B) & v6_closure2(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_closure2, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))) =>  (v2_closure2(C, A, B) => v1_closure2(C, A, B)) ) ) ) ) ).
fof(cc2_closure2, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))) =>  (v4_closure2(C, A, B) => v3_closure2(C, A, B)) ) ) ) ) ).
fof(cc3_closure2, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))) =>  (v4_closure2(C, A, B) => v5_closure2(C, A, B)) ) ) ) ) ).
fof(cc4_closure2, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))) =>  (v5_closure2(C, A, B) =>  ~ (v1_xboole_0(C)) ) ) ) ) ) ).
fof(cc5_closure2, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))) =>  (v2_closure2(C, A, B) => v6_closure2(C, A, B)) ) ) ) ) ).
fof(cc6_closure2, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))) =>  (v6_closure2(C, A, B) =>  ~ (v1_xboole_0(C)) ) ) ) ) ) ).
fof(rc4_closure2, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A, B), k6_closure2(A, B)))) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_partfun1(C, k6_closure2(A, B)) &  (v1_funct_2(C, k6_closure2(A, B), k6_closure2(A, B)) &  (v7_closure2(C, A, B) &  (v8_closure2(C, A, B) &  (v9_closure2(C, A, B) & v10_closure2(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc7_closure2, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A, B), k6_closure2(A, B)))) =>  ( (v1_funct_1(C) &  (v1_funct_2(C, k6_closure2(A, B), k6_closure2(A, B)) & v10_closure2(C, A, B)) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, k6_closure2(A, B), k6_closure2(A, B)) & v8_closure2(C, A, B)) ) ) ) ) ) ) ).
fof(rc5_closure2, axiom,  (! [A] :  (l1_struct_0(A) =>  (? [B] :  (l1_closure2(B, A) & v11_closure2(B, A)) ) ) ) ).
fof(fc5_closure2, axiom,  (! [A, B] :  ( (l1_struct_0(A) & l2_msualg_1(B, A))  =>  (v11_closure2(k9_closure2(A, B), A) &  (v12_closure2(k9_closure2(A, B), A) &  (v13_closure2(k9_closure2(A, B), A) &  (v14_closure2(k9_closure2(A, B), A) &  (v15_closure2(k9_closure2(A, B), A) &  (v16_closure2(k9_closure2(A, B), A) & v17_closure2(k9_closure2(A, B), A)) ) ) ) ) ) ) ) ).
fof(fc6_closure2, axiom,  (! [A, B] :  ( (l1_struct_0(A) &  (v4_msualg_1(B, A) & l2_msualg_1(B, A)) )  => v4_msualg_1(k9_closure2(A, B), A)) ) ).
fof(rc6_closure2, axiom,  (! [A] :  (l1_struct_0(A) =>  (? [B] :  (l1_closure2(B, A) &  (v4_msualg_1(B, A) &  (v11_closure2(B, A) &  (v12_closure2(B, A) &  (v13_closure2(B, A) &  (v14_closure2(B, A) &  (v15_closure2(B, A) &  (v16_closure2(B, A) & v17_closure2(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc7_closure2, axiom,  (! [A, B] :  ( (l1_struct_0(A) &  (v12_closure2(B, A) & l1_closure2(B, A)) )  => v1_closure2(u1_closure2(A, B), u1_struct_0(A), u3_msualg_1(A, B))) ) ).
fof(fc8_closure2, axiom,  (! [A, B] :  ( (l1_struct_0(A) &  (v13_closure2(B, A) & l1_closure2(B, A)) )  => v2_closure2(u1_closure2(A, B), u1_struct_0(A), u3_msualg_1(A, B))) ) ).
fof(fc9_closure2, axiom,  (! [A, B] :  ( (l1_struct_0(A) &  (v14_closure2(B, A) & l1_closure2(B, A)) )  => v3_closure2(u1_closure2(A, B), u1_struct_0(A), u3_msualg_1(A, B))) ) ).
fof(fc10_closure2, axiom,  (! [A, B] :  ( (l1_struct_0(A) &  (v15_closure2(B, A) & l1_closure2(B, A)) )  => v4_closure2(u1_closure2(A, B), u1_struct_0(A), u3_msualg_1(A, B))) ) ).
fof(fc11_closure2, axiom,  (! [A, B] :  ( (l1_struct_0(A) &  (v16_closure2(B, A) & l1_closure2(B, A)) )  => v5_closure2(u1_closure2(A, B), u1_struct_0(A), u3_msualg_1(A, B))) ) ).
fof(fc12_closure2, axiom,  (! [A, B] :  ( (l1_struct_0(A) &  (v17_closure2(B, A) & l1_closure2(B, A)) )  => v6_closure2(u1_closure2(A, B), u1_struct_0(A), u3_msualg_1(A, B))) ) ).
fof(fc13_closure2, axiom,  (! [A, B, C] :  ( (l1_struct_0(A) &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, k1_zfmisc_1(k1_closure2(u1_struct_0(A), B)))) )  =>  (v4_msualg_1(g1_closure2(A, B, C), A) & v11_closure2(g1_closure2(A, B, C), A)) ) ) ).
fof(fc14_closure2, axiom,  (! [A, B, C] :  ( (l1_struct_0(A) &  (l2_msualg_1(B, A) &  (v1_closure2(C, u1_struct_0(A), u3_msualg_1(A, B)) & m1_subset_1(C, k1_zfmisc_1(k1_closure2(u1_struct_0(A), u3_msualg_1(A, B))))) ) )  =>  (v11_closure2(g1_closure2(A, u3_msualg_1(A, B), C), A) & v12_closure2(g1_closure2(A, u3_msualg_1(A, B), C), A)) ) ) ).
fof(fc15_closure2, axiom,  (! [A, B, C] :  ( (l1_struct_0(A) &  (l2_msualg_1(B, A) &  (v2_closure2(C, u1_struct_0(A), u3_msualg_1(A, B)) & m1_subset_1(C, k1_zfmisc_1(k1_closure2(u1_struct_0(A), u3_msualg_1(A, B))))) ) )  =>  (v11_closure2(g1_closure2(A, u3_msualg_1(A, B), C), A) & v13_closure2(g1_closure2(A, u3_msualg_1(A, B), C), A)) ) ) ).
fof(fc16_closure2, axiom,  (! [A, B, C] :  ( (l1_struct_0(A) &  (l2_msualg_1(B, A) &  (v3_closure2(C, u1_struct_0(A), u3_msualg_1(A, B)) & m1_subset_1(C, k1_zfmisc_1(k1_closure2(u1_struct_0(A), u3_msualg_1(A, B))))) ) )  =>  (v11_closure2(g1_closure2(A, u3_msualg_1(A, B), C), A) & v14_closure2(g1_closure2(A, u3_msualg_1(A, B), C), A)) ) ) ).
fof(fc17_closure2, axiom,  (! [A, B, C] :  ( (l1_struct_0(A) &  (l2_msualg_1(B, A) &  (v4_closure2(C, u1_struct_0(A), u3_msualg_1(A, B)) & m1_subset_1(C, k1_zfmisc_1(k1_closure2(u1_struct_0(A), u3_msualg_1(A, B))))) ) )  =>  (v11_closure2(g1_closure2(A, u3_msualg_1(A, B), C), A) & v15_closure2(g1_closure2(A, u3_msualg_1(A, B), C), A)) ) ) ).
fof(fc18_closure2, axiom,  (! [A, B, C] :  ( (l1_struct_0(A) &  (l2_msualg_1(B, A) &  (v5_closure2(C, u1_struct_0(A), u3_msualg_1(A, B)) & m1_subset_1(C, k1_zfmisc_1(k1_closure2(u1_struct_0(A), u3_msualg_1(A, B))))) ) )  =>  (v11_closure2(g1_closure2(A, u3_msualg_1(A, B), C), A) & v16_closure2(g1_closure2(A, u3_msualg_1(A, B), C), A)) ) ) ).
fof(fc19_closure2, axiom,  (! [A, B, C] :  ( (l1_struct_0(A) &  (l2_msualg_1(B, A) &  (v6_closure2(C, u1_struct_0(A), u3_msualg_1(A, B)) & m1_subset_1(C, k1_zfmisc_1(k1_closure2(u1_struct_0(A), u3_msualg_1(A, B))))) ) )  =>  (v11_closure2(g1_closure2(A, u3_msualg_1(A, B), C), A) & v17_closure2(g1_closure2(A, u3_msualg_1(A, B), C), A)) ) ) ).
fof(cc8_closure2, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_closure2(B, A) =>  (v13_closure2(B, A) => v12_closure2(B, A)) ) ) ) ) ).
fof(cc9_closure2, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_closure2(B, A) =>  (v15_closure2(B, A) => v14_closure2(B, A)) ) ) ) ) ).
fof(cc10_closure2, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_closure2(B, A) =>  (v15_closure2(B, A) => v16_closure2(B, A)) ) ) ) ) ).
fof(cc11_closure2, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_closure2(B, A) =>  (v13_closure2(B, A) => v17_closure2(B, A)) ) ) ) ) ).
fof(fc20_closure2, axiom,  (! [A, B, C] :  ( (l1_struct_0(A) &  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k6_closure2(u1_struct_0(A), B), k6_closure2(u1_struct_0(A), B)) &  (v7_closure2(C, u1_struct_0(A), B) &  (v8_closure2(C, u1_struct_0(A), B) &  (v9_closure2(C, u1_struct_0(A), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k6_closure2(u1_struct_0(A), B), k6_closure2(u1_struct_0(A), B))))) ) ) ) ) ) )  =>  (v11_closure2(k10_closure2(A, B, C), A) & v15_closure2(k10_closure2(A, B, C), A)) ) ) ).
fof(t1_closure2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (r1_tarski(B, C) => r1_tarski(k3_funct_2(A, A, k6_partfun1(A), B), k3_funct_2(A, A, k6_partfun1(A), C))) ) ) ) ) ) ) ).
fof(t2_closure2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m3_pboole(C, A, B) => r1_tarski(k10_xtuple_0(C), k3_tarski(k10_xtuple_0(k5_mssubfam(A, B))))) ) ) ) ) ) ).
fof(d1_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (C=k1_closure2(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=> m3_pboole(D, A, B)) ) ) ) ) ) ) ).
fof(t3_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_closure2(A, B))) => m1_subset_1(k4_subset_1(k1_closure2(A, B), C, D), k1_zfmisc_1(k1_closure2(A, B)))) ) ) ) ) ) ) ).
fof(t4_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_closure2(A, B))) => m1_subset_1(k9_subset_1(k1_closure2(A, B), C, D), k1_zfmisc_1(k1_closure2(A, B)))) ) ) ) ) ) ) ).
fof(t5_closure2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, B)) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_closure2(B, C))) => m1_subset_1(k7_subset_1(k1_closure2(B, C), D, A), k1_zfmisc_1(k1_closure2(B, C)))) ) ) ) ) ) ).
fof(t6_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_closure2(A, B))) => m1_subset_1(k5_subset_1(k1_closure2(A, B), C, D), k1_zfmisc_1(k1_closure2(A, B)))) ) ) ) ) ) ) ).
fof(t7_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r2_pboole(A, B, C) => m1_subset_1(k1_tarski(B), k1_zfmisc_1(k1_closure2(A, C)))) ) ) ) ) ) ).
fof(t8_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ( (r2_pboole(A, B, D) & r2_pboole(A, C, D))  => m1_subset_1(k2_tarski(B, C), k1_zfmisc_1(k1_closure2(A, D)))) ) ) ) ) ) ) ) ).
fof(t9_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_closure2(C, A, B, k2_closure2(A, B)) =>  (! [D] :  (m1_closure2(D, A, B, k2_closure2(A, B)) => r2_tarski(k3_pboole(A, C, D), k2_closure2(A, B))) ) ) ) ) ) ) ).
fof(t10_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_closure2(C, A, B, k2_closure2(A, B)) =>  (! [D] :  (m1_closure2(D, A, B, k2_closure2(A, B)) => r2_tarski(k2_pboole(A, C, D), k2_closure2(A, B))) ) ) ) ) ) ) ).
fof(t11_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  (m1_closure2(D, A, C, k2_closure2(A, C)) => r2_tarski(k4_pboole(A, D, B), k2_closure2(A, C))) ) ) ) ) ) ) ).
fof(t12_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_closure2(C, A, B, k2_closure2(A, B)) =>  (! [D] :  (m1_closure2(D, A, B, k2_closure2(A, B)) => r2_tarski(k5_pboole(A, C, D), k2_closure2(A, B))) ) ) ) ) ) ) ).
fof(t13_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))))  => k9_xtuple_0(k3_closure2(C))=A) ) ) ) ) ).
fof(d3_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))) =>  ( ( ~ (C=k1_xboole_0)  => k4_closure2(A, B, C)=k3_closure2(C))  &  (C=k1_xboole_0 => k4_closure2(A, B, C)=k1_pboole(A)) ) ) ) ) ) ) ).
fof(t15_closure2, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => k9_xtuple_0(k3_closure2(k1_tarski(A)))=k9_xtuple_0(A)) ) ).
fof(t16_closure2, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => k9_xtuple_0(k3_closure2(k2_tarski(A, B)))=k3_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B))) ) ) ) ).
fof(t17_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_tarski(A, k9_xtuple_0(B)) => k1_funct_1(k3_closure2(k1_tarski(B)), A)=k1_tarski(k1_funct_1(B, A))) ) ) ) ).
fof(t18_closure2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, B)) ) )  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_closure2(B, C))) =>  ( (r2_tarski(A, B) & E=k1_tarski(D))  => k1_funct_1(k4_closure2(B, C, E), A)=k1_tarski(k1_funct_1(D, A))) ) ) ) ) ) ) ) ) ).
fof(t19_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r2_tarski(A, k9_xtuple_0(k3_closure2(k2_tarski(B, C)))) => k1_funct_1(k3_closure2(k2_tarski(B, C)), A)=k2_tarski(k1_funct_1(B, A), k1_funct_1(C, A))) ) ) ) ) ) ).
fof(t20_closure2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, B)) ) )  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k1_closure2(B, C))) =>  ( (r2_tarski(A, B) & F=k2_tarski(D, E))  => k1_funct_1(k4_closure2(B, C, F), A)=k2_tarski(k1_funct_1(D, A), k1_funct_1(E, A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_closure2(A, C))) =>  (r2_tarski(B, D) => r1_pboole(A, B, k5_closure2(A, C, D))) ) ) ) ) ) ) ) ).
fof(t22_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_closure2(A, D))) =>  (E=k2_tarski(B, C) => r6_pboole(A, k2_mboolean(A, k5_closure2(A, D, E)), k2_pboole(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t23_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))) =>  (! [D] :  (m1_closure2(D, A, B, k2_closure2(A, B)) =>  (! [E] :  (m1_closure2(E, A, B, k2_closure2(A, B)) =>  (C=k2_tarski(D, E) => r6_pboole(A, k4_mssubfam(A, B, k5_closure2(A, B, C)), k3_pboole(A, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t24_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))) =>  (! [D] :  (m3_pboole(D, A, B) =>  ( (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) )  =>  (r2_tarski(E, C) => r2_pboole(A, D, E)) ) )  => r2_pboole(A, D, k4_mssubfam(A, B, k5_closure2(A, B, C)))) ) ) ) ) ) ) ) ).
fof(t25_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => r6_pboole(A, k5_closure2(A, B, k2_closure2(A, B)), k5_mssubfam(A, B))) ) ) ).
fof(d4_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))) =>  (v1_closure2(C, A, B) <=>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) )  =>  ( (r2_tarski(D, C) & r2_tarski(E, C))  => r2_tarski(k2_pboole(A, D, E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))) =>  (v2_closure2(C, A, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_closure2(A, B))) =>  (r1_tarski(D, C) => r2_tarski(k2_mboolean(A, k5_closure2(A, B, D)), C)) ) ) ) ) ) ) ) ) ).
fof(d6_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))) =>  (v3_closure2(C, A, B) <=>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) )  =>  ( (r2_tarski(D, C) & r2_tarski(E, C))  => r2_tarski(k3_pboole(A, D, E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))) =>  (v4_closure2(C, A, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_closure2(A, B))) =>  (r1_tarski(D, C) => r2_tarski(k4_mssubfam(A, B, k5_closure2(A, B, D)), C)) ) ) ) ) ) ) ) ) ).
fof(d8_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))) =>  (v5_closure2(C, A, B) <=> r2_tarski(B, C)) ) ) ) ) ) ).
fof(d9_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))) =>  (v6_closure2(C, A, B) <=> r2_tarski(k1_pboole(A), C)) ) ) ) ) ) ).
fof(d10_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k6_closure2(A, B), k6_closure2(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A, B), k6_closure2(A, B))))) )  =>  (v7_closure2(C, A, B) <=>  (! [D] :  (m1_closure2(D, A, B, k6_closure2(A, B)) => r2_pboole(A, D, k7_closure2(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(d11_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k6_closure2(A, B), k6_closure2(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A, B), k6_closure2(A, B))))) )  =>  (v8_closure2(C, A, B) <=>  (! [D] :  (m1_closure2(D, A, B, k6_closure2(A, B)) =>  (! [E] :  (m1_closure2(E, A, B, k6_closure2(A, B)) =>  (r2_pboole(A, D, E) => r2_pboole(A, k7_closure2(A, B, C, D), k7_closure2(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k6_closure2(A, B), k6_closure2(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A, B), k6_closure2(A, B))))) )  =>  (v9_closure2(C, A, B) <=>  (! [D] :  (m1_closure2(D, A, B, k6_closure2(A, B)) => r6_pboole(A, k7_closure2(A, B, C, D), k7_closure2(A, B, C, k7_closure2(A, B, C, D)))) ) ) ) ) ) ) ) ).
fof(d13_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k6_closure2(A, B), k6_closure2(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A, B), k6_closure2(A, B))))) )  =>  (v10_closure2(C, A, B) <=>  (! [D] :  (m1_closure2(D, A, B, k6_closure2(A, B)) =>  (! [E] :  (m1_closure2(E, A, B, k6_closure2(A, B)) => k1_funct_1(C, k2_pboole(A, D, E))=k2_pboole(A, k7_closure2(A, B, C, D), k7_closure2(A, B, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t26_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v1_funct_1(k6_partfun1(k6_closure2(A, B))) &  (v1_funct_2(k6_partfun1(k6_closure2(A, B)), k6_closure2(A, B), k6_closure2(A, B)) &  (v7_closure2(k6_partfun1(k6_closure2(A, B)), A, B) & m1_subset_1(k6_partfun1(k6_closure2(A, B)), k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A, B), k6_closure2(A, B))))) ) ) ) ) ) ).
fof(t27_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v1_funct_1(k6_partfun1(k6_closure2(A, B))) &  (v1_funct_2(k6_partfun1(k6_closure2(A, B)), k6_closure2(A, B), k6_closure2(A, B)) &  (v8_closure2(k6_partfun1(k6_closure2(A, B)), A, B) & m1_subset_1(k6_partfun1(k6_closure2(A, B)), k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A, B), k6_closure2(A, B))))) ) ) ) ) ) ).
fof(t28_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v1_funct_1(k6_partfun1(k6_closure2(A, B))) &  (v1_funct_2(k6_partfun1(k6_closure2(A, B)), k6_closure2(A, B), k6_closure2(A, B)) &  (v9_closure2(k6_partfun1(k6_closure2(A, B)), A, B) & m1_subset_1(k6_partfun1(k6_closure2(A, B)), k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A, B), k6_closure2(A, B))))) ) ) ) ) ) ).
fof(t29_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v1_funct_1(k6_partfun1(k6_closure2(A, B))) &  (v1_funct_2(k6_partfun1(k6_closure2(A, B)), k6_closure2(A, B), k6_closure2(A, B)) &  (v10_closure2(k6_partfun1(k6_closure2(A, B)), A, B) & m1_subset_1(k6_partfun1(k6_closure2(A, B)), k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A, B), k6_closure2(A, B))))) ) ) ) ) ) ).
fof(t30_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_closure2(C, A, B, k2_closure2(A, B)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k6_closure2(A, B), k6_closure2(A, B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A, B), k6_closure2(A, B))))) )  =>  ( (r6_pboole(A, C, B) & v7_closure2(D, A, B))  => r6_pboole(A, C, k7_closure2(A, B, D, C))) ) ) ) ) ) ) ) ).
fof(t31_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k6_closure2(A, B), k6_closure2(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A, B), k6_closure2(A, B))))) )  =>  ( (v7_closure2(C, A, B) &  (! [D] :  (m1_closure2(D, A, B, k6_closure2(A, B)) => r2_pboole(A, k7_closure2(A, B, C, D), D)) ) )  => v9_closure2(C, A, B)) ) ) ) ) ) ).
fof(t32_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_closure2(C, A, B, k2_closure2(A, B)) =>  (! [D] :  (m1_closure2(D, A, B, k2_closure2(A, B)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k6_closure2(A, B), k6_closure2(A, B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A, B), k6_closure2(A, B))))) )  =>  (! [F] :  (m1_closure2(F, A, B, k6_closure2(A, B)) =>  ( (r6_pboole(A, F, k3_pboole(A, C, D)) & v8_closure2(E, A, B))  => r2_pboole(A, k7_closure2(A, B, E, F), k3_pboole(A, k7_closure2(A, B, E, C), k7_closure2(A, B, E, D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_closure2(C, A, B, k2_closure2(A, B)) =>  (! [D] :  (m1_closure2(D, A, B, k2_closure2(A, B)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k6_closure2(A, B), k6_closure2(A, B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A, B), k6_closure2(A, B))))) )  =>  (! [F] :  (m1_closure2(F, A, B, k6_closure2(A, B)) =>  ( (r6_pboole(A, F, k4_pboole(A, C, D)) & v10_closure2(E, A, B))  => r2_pboole(A, k4_pboole(A, k7_closure2(A, B, E, C), k7_closure2(A, B, E, D)), k7_closure2(A, B, E, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k6_closure2(A, B), k6_closure2(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A, B), k6_closure2(A, B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k6_closure2(A, B), k6_closure2(A, B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A, B), k6_closure2(A, B))))) )  =>  ( (v7_closure2(C, A, B) & v7_closure2(D, A, B))  => v7_closure2(k8_closure2(A, B, D, C), A, B)) ) ) ) ) ) ) ) ).
fof(t35_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k6_closure2(A, B), k6_closure2(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A, B), k6_closure2(A, B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k6_closure2(A, B), k6_closure2(A, B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A, B), k6_closure2(A, B))))) )  =>  ( (v8_closure2(C, A, B) & v8_closure2(D, A, B))  => v8_closure2(k8_closure2(A, B, D, C), A, B)) ) ) ) ) ) ) ) ).
fof(t36_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k6_closure2(A, B), k6_closure2(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A, B), k6_closure2(A, B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k6_closure2(A, B), k6_closure2(A, B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A, B), k6_closure2(A, B))))) )  =>  ( (v9_closure2(C, A, B) &  (v9_closure2(D, A, B) & r2_funct_2(k6_closure2(A, B), k6_closure2(A, B), k8_closure2(A, B, D, C), k8_closure2(A, B, C, D))) )  => v9_closure2(k8_closure2(A, B, D, C), A, B)) ) ) ) ) ) ) ) ).
fof(t37_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k6_closure2(A, B), k6_closure2(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A, B), k6_closure2(A, B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k6_closure2(A, B), k6_closure2(A, B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A, B), k6_closure2(A, B))))) )  =>  ( (v10_closure2(C, A, B) & v10_closure2(D, A, B))  => v10_closure2(k8_closure2(A, B, D, C), A, B)) ) ) ) ) ) ) ) ).
fof(d14_closure2, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_closure2(B, A) =>  (v12_closure2(B, A) <=> v1_closure2(u1_closure2(A, B), u1_struct_0(A), u3_msualg_1(A, B))) ) ) ) ) ).
fof(d15_closure2, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_closure2(B, A) =>  (v13_closure2(B, A) <=> v2_closure2(u1_closure2(A, B), u1_struct_0(A), u3_msualg_1(A, B))) ) ) ) ) ).
fof(d16_closure2, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_closure2(B, A) =>  (v14_closure2(B, A) <=> v3_closure2(u1_closure2(A, B), u1_struct_0(A), u3_msualg_1(A, B))) ) ) ) ) ).
fof(d17_closure2, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_closure2(B, A) =>  (v15_closure2(B, A) <=> v4_closure2(u1_closure2(A, B), u1_struct_0(A), u3_msualg_1(A, B))) ) ) ) ) ).
fof(d18_closure2, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_closure2(B, A) =>  (v16_closure2(B, A) <=> v5_closure2(u1_closure2(A, B), u1_struct_0(A), u3_msualg_1(A, B))) ) ) ) ) ).
fof(d19_closure2, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_closure2(B, A) =>  (v17_closure2(B, A) <=> v6_closure2(u1_closure2(A, B), u1_struct_0(A), u3_msualg_1(A, B))) ) ) ) ) ).
fof(d20_closure2, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l2_msualg_1(B, A) => k9_closure2(A, B)=g1_closure2(A, u3_msualg_1(A, B), k6_closure2(u1_struct_0(A), u3_msualg_1(A, B)))) ) ) ) ).
fof(t38_closure2, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  ( (v15_closure2(B, A) & l1_closure2(B, A))  =>  (! [C] :  (m1_closure2(C, u1_struct_0(A), u3_msualg_1(A, B), k6_closure2(u1_struct_0(A), u3_msualg_1(A, B))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k6_closure2(u1_struct_0(A), u3_msualg_1(A, B)), k6_closure2(u1_struct_0(A), u3_msualg_1(A, B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k6_closure2(u1_struct_0(A), u3_msualg_1(A, B)), k6_closure2(u1_struct_0(A), u3_msualg_1(A, B)))))) )  =>  ( (r2_tarski(C, u1_closure2(A, B)) &  (! [E] :  (m1_closure2(E, u1_struct_0(A), u3_msualg_1(A, B), k6_closure2(u1_struct_0(A), u3_msualg_1(A, B))) => r6_pboole(u1_struct_0(A), k7_closure2(u1_struct_0(A), u3_msualg_1(A, B), D, E), k11_closure2(A, B, E))) ) )  => r6_pboole(u1_struct_0(A), k7_closure2(u1_struct_0(A), u3_msualg_1(A, B), D, C), C)) ) ) ) ) ) ) ) ) ).
fof(t39_closure2, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  ( (v15_closure2(B, A) & l1_closure2(B, A))  =>  (! [C] :  (m1_closure2(C, u1_struct_0(A), u3_msualg_1(A, B), k6_closure2(u1_struct_0(A), u3_msualg_1(A, B))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k6_closure2(u1_struct_0(A), u3_msualg_1(A, B)), k6_closure2(u1_struct_0(A), u3_msualg_1(A, B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k6_closure2(u1_struct_0(A), u3_msualg_1(A, B)), k6_closure2(u1_struct_0(A), u3_msualg_1(A, B)))))) )  =>  ( (r6_pboole(u1_struct_0(A), k7_closure2(u1_struct_0(A), u3_msualg_1(A, B), D, C), C) &  (! [E] :  (m1_closure2(E, u1_struct_0(A), u3_msualg_1(A, B), k6_closure2(u1_struct_0(A), u3_msualg_1(A, B))) => r6_pboole(u1_struct_0(A), k7_closure2(u1_struct_0(A), u3_msualg_1(A, B), D, E), k11_closure2(A, B, E))) ) )  => r2_tarski(C, u1_closure2(A, B))) ) ) ) ) ) ) ) ) ).
fof(t40_closure2, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  ( (v15_closure2(B, A) & l1_closure2(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k6_closure2(u1_struct_0(A), u3_msualg_1(A, B)), k6_closure2(u1_struct_0(A), u3_msualg_1(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k6_closure2(u1_struct_0(A), u3_msualg_1(A, B)), k6_closure2(u1_struct_0(A), u3_msualg_1(A, B)))))) )  =>  ( (! [D] :  (m1_closure2(D, u1_struct_0(A), u3_msualg_1(A, B), k6_closure2(u1_struct_0(A), u3_msualg_1(A, B))) => r6_pboole(u1_struct_0(A), k7_closure2(u1_struct_0(A), u3_msualg_1(A, B), C, D), k11_closure2(A, B, D))) )  =>  (v7_closure2(C, u1_struct_0(A), u3_msualg_1(A, B)) &  (v8_closure2(C, u1_struct_0(A), u3_msualg_1(A, B)) & v9_closure2(C, u1_struct_0(A), u3_msualg_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(d23_closure2, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  ( (v15_closure2(B, A) & l1_closure2(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k6_closure2(u1_struct_0(A), u3_msualg_1(A, B)), k6_closure2(u1_struct_0(A), u3_msualg_1(A, B))) &  (v7_closure2(C, u1_struct_0(A), u3_msualg_1(A, B)) &  (v8_closure2(C, u1_struct_0(A), u3_msualg_1(A, B)) &  (v9_closure2(C, u1_struct_0(A), u3_msualg_1(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k6_closure2(u1_struct_0(A), u3_msualg_1(A, B)), k6_closure2(u1_struct_0(A), u3_msualg_1(A, B)))))) ) ) ) )  =>  (C=k12_closure2(A, B) <=>  (! [D] :  (m1_closure2(D, u1_struct_0(A), u3_msualg_1(A, B), k6_closure2(u1_struct_0(A), u3_msualg_1(A, B))) => r6_pboole(u1_struct_0(A), k7_closure2(u1_struct_0(A), u3_msualg_1(A, B), C, D), k11_closure2(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t41_closure2, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k6_closure2(u1_struct_0(A), B), k6_closure2(u1_struct_0(A), B)) &  (v7_closure2(C, u1_struct_0(A), B) &  (v8_closure2(C, u1_struct_0(A), B) &  (v9_closure2(C, u1_struct_0(A), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k6_closure2(u1_struct_0(A), B), k6_closure2(u1_struct_0(A), B))))) ) ) ) )  => r1_funct_2(k6_closure2(u1_struct_0(A), u3_msualg_1(A, k10_closure2(A, B, C))), k6_closure2(u1_struct_0(A), u3_msualg_1(A, k10_closure2(A, B, C))), k6_closure2(u1_struct_0(A), B), k6_closure2(u1_struct_0(A), B), k12_closure2(A, k10_closure2(A, B, C)), C)) ) ) ) ) ) ).
fof(t42_closure2, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  ( (v15_closure2(B, A) & l1_closure2(B, A))  => k10_closure2(A, u3_msualg_1(A, B), k12_closure2(A, B))=g1_closure2(A, u3_msualg_1(A, B), u1_closure2(A, B))) ) ) ) ).
fof(dt_k2_closure2, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => m1_subset_1(k2_closure2(A, B), k1_zfmisc_1(k1_closure2(A, B)))) ) ).
fof(redefinition_k2_closure2, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => k2_closure2(A, B)=k1_closure2(A, B)) ) ).
fof(dt_m1_closure2, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B)))) )  =>  (! [D] :  (m1_closure2(D, A, B, C) => m3_pboole(D, A, B)) ) ) ) ).
fof(existence_m1_closure2, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B)))) )  =>  (? [D] : m1_closure2(D, A, B, C)) ) ) ).
fof(redefinition_m1_closure2, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B)))) )  =>  (! [D] :  (m1_closure2(D, A, B, C) <=> m1_subset_1(D, C)) ) ) ) ).
fof(dt_k3_closure2, axiom,  (! [A] :  (v4_funct_1(A) =>  (v1_relat_1(k3_closure2(A)) & v1_funct_1(k3_closure2(A))) ) ) ).
fof(dt_k4_closure2, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  & m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))))  =>  (v1_relat_1(k4_closure2(A, B, C)) &  (v4_relat_1(k4_closure2(A, B, C), A) &  (v1_funct_1(k4_closure2(A, B, C)) & v1_partfun1(k4_closure2(A, B, C), A)) ) ) ) ) ).
fof(dt_k5_closure2, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  & m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))))  => m3_pboole(k5_closure2(A, B, C), A, k1_mboolean(A, B))) ) ).
fof(redefinition_k5_closure2, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  & m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))))  => k5_closure2(A, B, C)=k4_closure2(A, B, C)) ) ).
fof(dt_k6_closure2, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v1_closure2(k6_closure2(A, B), A, B) &  (v2_closure2(k6_closure2(A, B), A, B) &  (v3_closure2(k6_closure2(A, B), A, B) &  (v4_closure2(k6_closure2(A, B), A, B) &  (v5_closure2(k6_closure2(A, B), A, B) &  (v6_closure2(k6_closure2(A, B), A, B) & m1_subset_1(k6_closure2(A, B), k1_zfmisc_1(k1_closure2(A, B)))) ) ) ) ) ) ) ) ).
fof(redefinition_k6_closure2, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => k6_closure2(A, B)=k1_closure2(A, B)) ) ).
fof(dt_k7_closure2, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k6_closure2(A, B), k6_closure2(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A, B), k6_closure2(A, B))))) )  & m1_subset_1(D, k6_closure2(A, B))) )  => m1_closure2(k7_closure2(A, B, C, D), A, B, k6_closure2(A, B))) ) ).
fof(redefinition_k7_closure2, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k6_closure2(A, B), k6_closure2(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A, B), k6_closure2(A, B))))) )  & m1_subset_1(D, k6_closure2(A, B))) )  => k7_closure2(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(dt_k8_closure2, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k6_closure2(A, B), k6_closure2(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A, B), k6_closure2(A, B))))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k6_closure2(A, B), k6_closure2(A, B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A, B), k6_closure2(A, B))))) ) ) )  =>  (v1_funct_1(k8_closure2(A, B, C, D)) &  (v1_funct_2(k8_closure2(A, B, C, D), k6_closure2(A, B), k6_closure2(A, B)) & m1_subset_1(k8_closure2(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A, B), k6_closure2(A, B))))) ) ) ) ).
fof(redefinition_k8_closure2, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k6_closure2(A, B), k6_closure2(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A, B), k6_closure2(A, B))))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k6_closure2(A, B), k6_closure2(A, B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A, B), k6_closure2(A, B))))) ) ) )  => k8_closure2(A, B, C, D)=k3_relat_1(C, D)) ) ).
fof(abstractness_v11_closure2, axiom,  (! [A, B] :  ( (l1_struct_0(A) & l1_closure2(B, A))  =>  (v11_closure2(B, A) => B=g1_closure2(A, u3_msualg_1(A, B), u1_closure2(A, B))) ) ) ).
fof(dt_l1_closure2, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_closure2(B, A) => l2_msualg_1(B, A)) ) ) ) ).
fof(existence_l1_closure2, axiom,  (! [A] :  (l1_struct_0(A) =>  (? [B] : l1_closure2(B, A)) ) ) ).
fof(dt_g1_closure2, axiom,  (! [A, B, C] :  ( (l1_struct_0(A) &  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  & m1_subset_1(C, k1_zfmisc_1(k1_closure2(u1_struct_0(A), B)))) )  =>  (v11_closure2(g1_closure2(A, B, C), A) & l1_closure2(g1_closure2(A, B, C), A)) ) ) ).
fof(free_g1_closure2, axiom,  (! [A, B, C] :  ( (l1_struct_0(A) &  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  & m1_subset_1(C, k1_zfmisc_1(k1_closure2(u1_struct_0(A), B)))) )  =>  (! [D, E, F] :  (g1_closure2(A, B, C)=g1_closure2(D, E, F) =>  (A=D &  (B=E & C=F) ) ) ) ) ) ).
fof(dt_u1_closure2, axiom,  (! [A, B] :  ( (l1_struct_0(A) & l1_closure2(B, A))  => m1_subset_1(u1_closure2(A, B), k1_zfmisc_1(k1_closure2(u1_struct_0(A), u3_msualg_1(A, B))))) ) ).
fof(dt_k9_closure2, axiom,  (! [A, B] :  ( (l1_struct_0(A) & l2_msualg_1(B, A))  => l1_closure2(k9_closure2(A, B), A)) ) ).
fof(dt_k10_closure2, axiom,  (! [A, B, C] :  ( (l1_struct_0(A) &  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k6_closure2(u1_struct_0(A), B), k6_closure2(u1_struct_0(A), B)) &  (v7_closure2(C, u1_struct_0(A), B) &  (v8_closure2(C, u1_struct_0(A), B) &  (v9_closure2(C, u1_struct_0(A), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k6_closure2(u1_struct_0(A), B), k6_closure2(u1_struct_0(A), B))))) ) ) ) ) ) )  =>  (v11_closure2(k10_closure2(A, B, C), A) & l1_closure2(k10_closure2(A, B, C), A)) ) ) ).
fof(dt_k11_closure2, axiom,  (! [A, B, C] :  ( (l1_struct_0(A) &  ( (v15_closure2(B, A) & l1_closure2(B, A))  & m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B))) )  => m1_closure2(k11_closure2(A, B, C), u1_struct_0(A), u3_msualg_1(A, B), k6_closure2(u1_struct_0(A), u3_msualg_1(A, B)))) ) ).
fof(dt_k12_closure2, axiom,  (! [A, B] :  ( (l1_struct_0(A) &  (v15_closure2(B, A) & l1_closure2(B, A)) )  =>  (v1_funct_1(k12_closure2(A, B)) &  (v1_funct_2(k12_closure2(A, B), k6_closure2(u1_struct_0(A), u3_msualg_1(A, B)), k6_closure2(u1_struct_0(A), u3_msualg_1(A, B))) &  (v7_closure2(k12_closure2(A, B), u1_struct_0(A), u3_msualg_1(A, B)) &  (v8_closure2(k12_closure2(A, B), u1_struct_0(A), u3_msualg_1(A, B)) &  (v9_closure2(k12_closure2(A, B), u1_struct_0(A), u3_msualg_1(A, B)) & m1_subset_1(k12_closure2(A, B), k1_zfmisc_1(k2_zfmisc_1(k6_closure2(u1_struct_0(A), u3_msualg_1(A, B)), k6_closure2(u1_struct_0(A), u3_msualg_1(A, B)))))) ) ) ) ) ) ) ).
fof(d2_closure2, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( ( ~ (A=k1_xboole_0)  =>  (B=k3_closure2(A) <=>  (? [C] :  ( ( ~ (v1_xboole_0(C))  & v4_funct_1(C))  &  (C=A &  (k9_xtuple_0(B)=k1_setfam_1(a_1_0_closure2(C)) &  (! [D] :  (r2_tarski(D, k9_xtuple_0(B)) => k1_funct_1(B, D)=a_2_0_closure2(C, D)) ) ) ) ) ) ) )  &  (A=k1_xboole_0 =>  (B=k3_closure2(A) <=> B=k1_xboole_0) ) ) ) ) ) ) ).
fof(t14_closure2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))) =>  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (r2_tarski(D, A) => k1_funct_1(k4_closure2(A, B, C), D)=a_4_0_closure2(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(d21_closure2, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k6_closure2(u1_struct_0(A), B), k6_closure2(u1_struct_0(A), B)) &  (v7_closure2(C, u1_struct_0(A), B) &  (v8_closure2(C, u1_struct_0(A), B) &  (v9_closure2(C, u1_struct_0(A), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k6_closure2(u1_struct_0(A), B), k6_closure2(u1_struct_0(A), B))))) ) ) ) )  =>  (! [D] :  ( (v11_closure2(D, A) & l1_closure2(D, A))  =>  (D=k10_closure2(A, B, C) <=>  (r6_pboole(u1_struct_0(A), u3_msualg_1(A, D), B) & u1_closure2(A, D)=a_3_0_closure2(A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(d22_closure2, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  ( (v15_closure2(B, A) & l1_closure2(B, A))  =>  (! [C] :  (m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B)) =>  (! [D] :  (m1_closure2(D, u1_struct_0(A), u3_msualg_1(A, B), k6_closure2(u1_struct_0(A), u3_msualg_1(A, B))) =>  (D=k11_closure2(A, B, C) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_closure2(u1_struct_0(A), u3_msualg_1(A, B)))) &  (r6_pboole(u1_struct_0(A), D, k4_mssubfam(u1_struct_0(A), u3_msualg_1(A, B), k5_closure2(u1_struct_0(A), u3_msualg_1(A, B), E))) & E=a_3_1_closure2(A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_closure2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  & v4_funct_1(B))  =>  (r2_hidden(A, a_1_0_closure2(B)) <=>  (? [C] :  (m1_subset_1(C, B) & A=k9_xtuple_0(C)) ) ) ) ) ).
fof(fraenkel_a_2_0_closure2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & v4_funct_1(B))  =>  (r2_hidden(A, a_2_0_closure2(B, C)) <=>  (? [D] :  (m1_subset_1(D, B) & A=k1_funct_1(D, C)) ) ) ) ) ).
fof(fraenkel_a_4_0_closure2, axiom,  (! [A, B, C, D, E] :  ( ( (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, B)) ) )  & m1_subset_1(D, k1_zfmisc_1(k1_closure2(B, C))))  =>  (r2_hidden(A, a_4_0_closure2(B, C, D, E)) <=>  (? [F] :  (m1_closure2(F, B, C, k2_closure2(B, C)) &  (A=k1_funct_1(F, E) & r2_tarski(F, D)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_closure2, axiom,  (! [A, B, C, D] :  ( (l1_struct_0(B) &  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k6_closure2(u1_struct_0(B), C), k6_closure2(u1_struct_0(B), C)) &  (v7_closure2(D, u1_struct_0(B), C) &  (v8_closure2(D, u1_struct_0(B), C) &  (v9_closure2(D, u1_struct_0(B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k6_closure2(u1_struct_0(B), C), k6_closure2(u1_struct_0(B), C))))) ) ) ) ) ) )  =>  (r2_hidden(A, a_3_0_closure2(B, C, D)) <=>  (? [E] :  (m1_closure2(E, u1_struct_0(B), C, k6_closure2(u1_struct_0(B), C)) &  (A=E & r6_pboole(u1_struct_0(B), k7_closure2(u1_struct_0(B), C, D, E), E)) ) ) ) ) ) ).
fof(fraenkel_a_3_1_closure2, axiom,  (! [A, B, C, D] :  ( (l1_struct_0(B) &  ( (v15_closure2(C, B) & l1_closure2(C, B))  & m3_pboole(D, u1_struct_0(B), u3_msualg_1(B, C))) )  =>  (r2_hidden(A, a_3_1_closure2(B, C, D)) <=>  (? [E] :  (m1_closure2(E, u1_struct_0(B), u3_msualg_1(B, C), k6_closure2(u1_struct_0(B), u3_msualg_1(B, C))) &  (A=E &  (r2_pboole(u1_struct_0(B), D, E) & r2_tarski(E, u1_closure2(B, C))) ) ) ) ) ) ) ).
fof(fc1_closure3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (v1_struct_0(g1_struct_0(u1_struct_0(A))) &  ~ (v2_struct_0(g1_struct_0(u1_struct_0(A)))) ) ) ) ).
fof(fc2_closure3, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_xboole_0(C) & m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B)))) )  => v3_relat_1(k2_closure3(A, B, C))) ) ).
fof(rc1_closure3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A, B), k6_closure2(A, B)))) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k6_closure2(A, B)) &  (v5_relat_1(C, k6_closure2(A, B)) &  (v1_funct_1(C) &  (v1_partfun1(C, k6_closure2(A, B)) &  (v1_funct_2(C, k6_closure2(A, B), k6_closure2(A, B)) &  (v7_closure2(C, A, B) &  (v8_closure2(C, A, B) &  (v9_closure2(C, A, B) & v1_closure3(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc3_closure3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v3_msualg_1(B, A) &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) ) )  =>  (v11_closure2(k5_closure3(A, B), g1_struct_0(u1_struct_0(A))) & v15_closure2(k5_closure3(A, B), g1_struct_0(u1_struct_0(A)))) ) ) ).
fof(fc4_closure3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v3_msualg_1(B, A) &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) ) )  =>  (v11_closure2(k5_closure3(A, B), g1_struct_0(u1_struct_0(A))) & v2_closure3(k5_closure3(A, B), g1_struct_0(u1_struct_0(A)))) ) ) ).
fof(t1_closure3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => k1_funct_4(B, C)=C) ) ) ) ) ) ).
fof(t2_closure3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_closure2(A, B))) =>  (r2_tarski(C, D) => r2_pboole(A, k4_mssubfam(A, B, k5_closure2(A, B, D)), C)) ) ) ) ) ) ) ) ).
fof(t3_closure3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v3_msualg_1(B, A) &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_closure2(u1_struct_0(A), u3_msualg_1(A, B)))) =>  (r1_tarski(C, k6_msualg_2(A, B)) =>  (! [D] :  (m3_pboole(D, u1_struct_0(A), u3_msualg_1(A, B)) =>  (r8_pboole(u1_struct_0(A), D, k4_mssubfam(u1_struct_0(A), u3_msualg_1(A, B), k5_closure2(u1_struct_0(A), u3_msualg_1(A, B), C))) => v3_msualg_2(D, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t4_closure3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r2_setfam_1(B, A) & r2_setfam_1(C, B))  => r2_setfam_1(C, A)) ) ) ) ).
fof(t5_closure3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  => B=k1_funct_4(k1_pboole(A), k5_relat_1(B, k1_closure3(A, B)))) ) ) ) ).
fof(t6_closure3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (k5_relat_1(B, k1_closure3(A, B))=k5_relat_1(C, k1_closure3(A, C)) => r8_pboole(A, B, C)) ) ) ) ) ) ) ).
fof(t8_closure3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_closure2(C, A, B, k6_closure2(A, B)) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  ~ ( (r2_tarski(E, k1_funct_1(C, D)) &  (! [F] :  (m1_closure2(F, A, B, k6_closure2(A, B)) =>  ~ ( (r2_tarski(E, k1_funct_1(F, D)) &  (v2_finset_1(F) &  (v1_finset_1(k1_closure3(A, F)) & r2_pboole(A, F, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_closure3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))) => r6_pboole(A, k2_closure3(A, B, C), k2_mboolean(A, k5_closure2(A, B, C)))) ) ) ) ) ).
fof(t10_closure3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_closure2(A, B))) => r6_pboole(A, k2_closure3(A, B, k3_closure3(A, B, C, D)), k2_pboole(A, k2_closure3(A, B, C), k2_closure3(A, B, D)))) ) ) ) ) ) ) ).
fof(t11_closure3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_closure2(A, B))) =>  (r1_tarski(C, D) => r2_pboole(A, k2_closure3(A, B, C), k2_closure3(A, B, D))) ) ) ) ) ) ) ) ).
fof(t12_closure3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_closure2(A, B))) => r2_pboole(A, k2_closure3(A, B, k4_closure3(A, B, C, D)), k3_pboole(A, k2_closure3(A, B, C), k2_closure3(A, B, D)))) ) ) ) ) ) ) ).
fof(d4_closure3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  ( (v15_closure2(B, A) & l1_closure2(B, A))  =>  (v2_closure3(B, A) <=> v1_closure3(k12_closure2(A, B), u1_struct_0(A), u3_msualg_1(A, B))) ) ) ) ) ).
fof(d5_closure3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v11_closure2(C, g1_struct_0(u1_struct_0(A))) & l1_closure2(C, g1_struct_0(u1_struct_0(A))))  =>  (C=k5_closure3(A, B) <=>  (u3_msualg_1(g1_struct_0(u1_struct_0(A)), C)=u3_msualg_1(A, B) & u1_closure2(g1_struct_0(u1_struct_0(A)), C)=k6_msualg_2(A, B)) ) ) ) ) ) ) ) ).
fof(t14_closure3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v3_msualg_1(B, A) &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  (v4_closure2(k6_msualg_2(A, B), u1_struct_0(A), u3_msualg_1(A, B)) & m1_subset_1(k6_msualg_2(A, B), k1_zfmisc_1(k1_closure2(u1_struct_0(A), u3_msualg_1(A, B))))) ) ) ) ) ).
fof(redefinition_k1_closure3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  => k1_closure3(A, B)=k13_pre_poly(B)) ) ).
fof(dt_k2_closure3, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  & m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))))  => m3_pboole(k2_closure3(A, B, C), A, B)) ) ).
fof(dt_k3_closure3, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))) & m1_subset_1(D, k1_zfmisc_1(k1_closure2(A, B)))) )  => m1_subset_1(k3_closure3(A, B, C, D), k1_zfmisc_1(k1_closure2(A, B)))) ) ).
fof(commutativity_k3_closure3, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))) & m1_subset_1(D, k1_zfmisc_1(k1_closure2(A, B)))) )  => k3_closure3(A, B, C, D)=k3_closure3(A, B, D, C)) ) ).
fof(idempotence_k3_closure3, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))) & m1_subset_1(D, k1_zfmisc_1(k1_closure2(A, B)))) )  => k3_closure3(A, B, C, C)=C) ) ).
fof(redefinition_k3_closure3, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))) & m1_subset_1(D, k1_zfmisc_1(k1_closure2(A, B)))) )  => k3_closure3(A, B, C, D)=k2_xboole_0(C, D)) ) ).
fof(dt_k4_closure3, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))) & m1_subset_1(D, k1_zfmisc_1(k1_closure2(A, B)))) )  => m1_subset_1(k4_closure3(A, B, C, D), k1_zfmisc_1(k1_closure2(A, B)))) ) ).
fof(commutativity_k4_closure3, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))) & m1_subset_1(D, k1_zfmisc_1(k1_closure2(A, B)))) )  => k4_closure3(A, B, C, D)=k4_closure3(A, B, D, C)) ) ).
fof(idempotence_k4_closure3, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))) & m1_subset_1(D, k1_zfmisc_1(k1_closure2(A, B)))) )  => k4_closure3(A, B, C, C)=C) ) ).
fof(redefinition_k4_closure3, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))) & m1_subset_1(D, k1_zfmisc_1(k1_closure2(A, B)))) )  => k4_closure3(A, B, C, D)=k3_xboole_0(C, D)) ) ).
fof(dt_k5_closure3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  (v11_closure2(k5_closure3(A, B), g1_struct_0(u1_struct_0(A))) & l1_closure2(k5_closure3(A, B), g1_struct_0(u1_struct_0(A)))) ) ) ).
fof(d1_closure3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => k1_closure3(A, B)=a_2_0_closure3(A, B)) ) ) ) ).
fof(d2_closure3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, B))) =>  (! [D] :  (m3_pboole(D, A, B) =>  (D=k2_closure3(A, B, C) <=>  (! [E] :  (r2_tarski(E, A) => k1_funct_1(D, E)=k3_tarski(a_4_0_closure3(A, B, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t13_closure3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (! [D] :  (r2_tarski(D, C) => m1_subset_1(D, k1_zfmisc_1(k1_closure2(A, B)))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_closure2(A, B))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_closure2(A, B))) =>  ( (E=a_3_0_closure3(A, B, C) & D=k3_tarski(C))  => r6_pboole(A, k2_closure3(A, B, E), k2_closure3(A, B, D))) ) ) ) ) ) ) ) ) ) ).
fof(d3_closure3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k6_closure2(A, B), k6_closure2(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A, B), k6_closure2(A, B))))) )  =>  (v1_closure3(C, A, B) <=>  (! [D] :  (m1_closure2(D, A, B, k6_closure2(A, B)) =>  ~ ( (r8_pboole(A, D, k7_closure2(A, B, C, D)) &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_closure2(A, B))) =>  ~ ( (E=a_4_1_closure3(A, B, C, D) & r8_pboole(A, D, k2_closure3(A, B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_closure3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, B)) ) ) )  =>  (r2_hidden(A, a_2_0_closure3(B, C)) <=>  (? [D] :  (m1_subset_1(D, B) &  (A=D &  ~ (k1_funct_1(C, D)=k1_xboole_0) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_closure3, axiom,  (! [A, B, C, D, E] :  ( ( (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, B)) ) )  & m1_subset_1(D, k1_zfmisc_1(k1_closure2(B, C))))  =>  (r2_hidden(A, a_4_0_closure3(B, C, D, E)) <=>  (? [F] :  (m1_closure2(F, B, C, k6_closure2(B, C)) &  (A=k1_funct_1(F, E) & r2_tarski(F, D)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_closure3, axiom,  (! [A, B, C, D] :  ( (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, B)) ) )  =>  (r2_hidden(A, a_3_0_closure3(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_closure2(B, C))) &  (A=k2_closure3(B, C, E) & r2_tarski(E, D)) ) ) ) ) ) ).
fof(fraenkel_a_4_1_closure3, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, B)) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k6_closure2(B, C), k6_closure2(B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k6_closure2(B, C), k6_closure2(B, C))))) )  & m1_closure2(E, B, C, k6_closure2(B, C))) ) )  =>  (r2_hidden(A, a_4_1_closure3(B, C, D, E)) <=>  (? [F] :  (m1_closure2(F, B, C, k6_closure2(B, C)) &  (A=k7_closure2(B, C, D, F) &  (v2_finset_1(F) &  (v1_finset_1(k1_closure3(B, F)) & r2_pboole(B, F, E)) ) ) ) ) ) ) ) ).
fof(rc1_clvect_1, axiom,  (? [A] :  (l1_clvect_1(A) & v1_clvect_1(A)) ) ).
fof(rc2_clvect_1, axiom,  (? [A] :  (l1_clvect_1(A) &  ~ (v2_struct_0(A)) ) ) ).
fof(fc1_clvect_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k2_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, A), A)))) ) ) ) )  =>  ( ~ (v2_struct_0(g1_clvect_1(A, B, C, D)))  & v1_clvect_1(g1_clvect_1(A, B, C, D))) ) ) ).
fof(fc2_clvect_1, axiom,  (v13_struct_0(k2_clvect_1, 1) & v1_clvect_1(k2_clvect_1)) ).
fof(rc3_clvect_1, axiom,  (? [A] :  (l1_clvect_1(A) &  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_clvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) & v5_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc4_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_clvect_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_clvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) & v5_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc5_clvect_1, axiom,  (? [A] :  (l2_clvect_1(A) & v7_clvect_1(A)) ) ).
fof(rc6_clvect_1, axiom,  (? [A] :  (l2_clvect_1(A) &  ~ (v2_struct_0(A)) ) ) ).
fof(rc7_clvect_1, axiom,  (? [A] :  (l2_clvect_1(A) &  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v7_clvect_1(A) & v8_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xcmplx_0(C) => k1_clvect_1(A, B, C)=k1_funct_1(u1_clvect_1(A), k4_tarski(C, B))) ) ) ) ) ) ).
fof(d2_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (v2_clvect_1(A) <=>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_clvect_1(A, k1_algstr_0(A, C, D), B)=k1_algstr_0(A, k1_clvect_1(A, C, B), k1_clvect_1(A, D, B))) ) ) ) ) ) ) ) ) ).
fof(d3_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (v3_clvect_1(A) <=>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_clvect_1(A, D, k2_xcmplx_0(B, C))=k1_algstr_0(A, k1_clvect_1(A, D, B), k1_clvect_1(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(d4_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (v4_clvect_1(A) <=>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_clvect_1(A, D, k3_xcmplx_0(B, C))=k1_clvect_1(A, k1_clvect_1(A, D, C), B)) ) ) ) ) ) ) ) ) ).
fof(d5_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (v5_clvect_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_clvect_1(A, B, k6_complex1)=B) ) ) ) ) ).
fof(d6_clvect_1, axiom, k2_clvect_1=g1_clvect_1(k6_domain_1(k4_ordinal1, k5_numbers), k5_funct_5, k9_funct_5, k10_funct_3(k2_numbers, k6_domain_1(k4_ordinal1, k5_numbers)))).
fof(t1_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xcmplx_0(C) =>  ( (C=k5_numbers | B=k4_struct_0(A))  => k1_clvect_1(A, B, C)=k4_struct_0(A)) ) ) ) ) ) ) ).
fof(t2_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xcmplx_0(C) =>  ~ ( (k1_clvect_1(A, B, C)=k4_struct_0(A) &  ( ~ (C=k5_numbers)  &  ~ (B=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ).
fof(t3_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k4_algstr_0(A, B)=k1_clvect_1(A, B, k4_xcmplx_0(k6_complex1))) ) ) ) ).
fof(t4_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (B=k4_algstr_0(A, B) => B=k4_struct_0(A)) ) ) ) ) ).
fof(t5_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k3_rlvect_1(A, B, B)=k4_struct_0(A) => B=k4_struct_0(A)) ) ) ) ) ).
fof(t6_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xcmplx_0(C) => k1_clvect_1(A, k4_algstr_0(A, B), C)=k1_clvect_1(A, B, k4_xcmplx_0(C))) ) ) ) ) ) ).
fof(t7_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xcmplx_0(C) => k1_clvect_1(A, k4_algstr_0(A, B), C)=k4_algstr_0(A, k1_clvect_1(A, B, C))) ) ) ) ) ) ).
fof(t8_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xcmplx_0(C) => k1_clvect_1(A, k4_algstr_0(A, B), k4_xcmplx_0(C))=k1_clvect_1(A, B, C)) ) ) ) ) ) ).
fof(t9_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xcmplx_0(D) => k1_clvect_1(A, k5_algstr_0(A, C, B), D)=k5_algstr_0(A, k1_clvect_1(A, C, D), k1_clvect_1(A, B, D))) ) ) ) ) ) ) ) ).
fof(t10_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) => k1_clvect_1(A, B, k6_xcmplx_0(C, D))=k5_algstr_0(A, k1_clvect_1(A, B, C), k1_clvect_1(A, B, D))) ) ) ) ) ) ) ) ).
fof(t11_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xcmplx_0(D) =>  (k1_clvect_1(A, C, D)=k1_clvect_1(A, B, D) =>  (D=k5_numbers | C=B) ) ) ) ) ) ) ) ) ) ).
fof(t12_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  (k1_clvect_1(A, B, C)=k1_clvect_1(A, B, D) =>  (B=k4_struct_0(A) | C=D) ) ) ) ) ) ) ) ) ) ).
fof(t13_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  ( (k3_finseq_1(C)=k3_finseq_1(D) &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_tarski(E, k4_finseq_1(C)) & F=k1_funct_1(D, E))  => k1_funct_1(C, E)=k1_clvect_1(A, F, B)) ) ) ) ) )  => k4_rlvect_1(A, C)=k1_clvect_1(A, k4_rlvect_1(A, D), B)) ) ) ) ) ) ) ) ) ).
fof(t14_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xcmplx_0(B) => k1_clvect_1(A, k4_rlvect_1(A, k6_finseq_1(u1_struct_0(A))), B)=k4_struct_0(A)) ) ) ) ).
fof(t15_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xcmplx_0(D) => k1_clvect_1(A, k4_rlvect_1(A, k2_finseq_4(u1_struct_0(A), C, B)), D)=k3_rlvect_1(A, k1_clvect_1(A, C, D), k1_clvect_1(A, B, D))) ) ) ) ) ) ) ) ).
fof(t16_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xcmplx_0(E) => k1_clvect_1(A, k4_rlvect_1(A, k3_finseq_4(u1_struct_0(A), B, C, D)), E)=k3_rlvect_1(A, k3_rlvect_1(A, k1_clvect_1(A, B, E), k1_clvect_1(A, C, E)), k1_clvect_1(A, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t17_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k4_rlvect_1(A, k2_finseq_4(u1_struct_0(A), B, B))=k1_clvect_1(A, B, k2_xcmplx_0(k6_complex1, k6_complex1))) ) ) ) ).
fof(t18_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k4_rlvect_1(A, k2_finseq_4(u1_struct_0(A), k4_algstr_0(A, B), k4_algstr_0(A, B)))=k1_clvect_1(A, B, k4_xcmplx_0(k2_xcmplx_0(k6_complex1, k6_complex1)))) ) ) ) ).
fof(t19_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k4_rlvect_1(A, k3_finseq_4(u1_struct_0(A), B, B, B))=k1_clvect_1(A, B, k2_xcmplx_0(k2_xcmplx_0(k6_complex1, k6_complex1), k6_complex1))) ) ) ) ).
fof(d7_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v6_clvect_1(B, A) <=>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k3_rlvect_1(A, C, D), B)) ) ) ) )  &  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, B) => r2_tarski(k1_clvect_1(A, D, C), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v6_clvect_1(B, A) =>  (B=k1_xboole_0 | r2_tarski(k4_struct_0(A), B)) ) ) ) ) ) ).
fof(t21_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v6_clvect_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) => r2_tarski(k4_algstr_0(A, C), B)) ) ) ) ) ) ) ) ).
fof(t22_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v6_clvect_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k5_algstr_0(A, C, D), B)) ) ) ) ) ) ) ) ) ) ).
fof(t23_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  => v6_clvect_1(k6_domain_1(u1_struct_0(A), k4_struct_0(A)), A)) ) ).
fof(t24_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (u1_struct_0(A)=B => v6_clvect_1(B, A)) ) ) ) ) ).
fof(t26_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v6_clvect_1(B, A) & v6_clvect_1(C, A))  => v6_clvect_1(k9_subset_1(u1_struct_0(A), B, C), A)) ) ) ) ) ) ) ).
fof(d8_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) )  =>  (m1_clvect_1(B, A) <=>  (r1_tarski(u1_struct_0(B), u1_struct_0(A)) &  (k4_struct_0(B)=k4_struct_0(A) &  (u1_algstr_0(B)=k1_realset1(u1_algstr_0(A), u1_struct_0(B)) & u1_clvect_1(B)=k2_partfun1(k2_zfmisc_1(k2_numbers, u1_struct_0(A)), u1_struct_0(A), u1_clvect_1(A), k2_zfmisc_1(k2_numbers, u1_struct_0(B)))) ) ) ) ) ) ) ) ).
fof(t27_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_clvect_1(B, A) =>  (! [C] :  (m1_clvect_1(C, A) =>  (! [D] :  ( (r1_struct_0(B, D) & m1_clvect_1(B, C))  => r1_struct_0(C, D)) ) ) ) ) ) ) ) ).
fof(t28_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_clvect_1(B, A) =>  (! [C] :  (r1_struct_0(B, C) => r1_struct_0(A, C)) ) ) ) ) ) ).
fof(t29_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_clvect_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => m1_subset_1(C, u1_struct_0(A))) ) ) ) ) ) ).
fof(t30_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_clvect_1(B, A) => k4_struct_0(B)=k4_struct_0(A)) ) ) ) ).
fof(t31_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_clvect_1(B, A) =>  (! [C] :  (m1_clvect_1(C, A) => k4_struct_0(B)=k4_struct_0(C)) ) ) ) ) ) ).
fof(t32_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_clvect_1(D, A) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(D)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(D)) =>  ( (E=C & F=B)  => k3_rlvect_1(D, E, F)=k3_rlvect_1(A, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (m1_clvect_1(D, A) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(D)) =>  (E=B => k1_clvect_1(D, E, C)=k1_clvect_1(A, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_clvect_1(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (D=B => k4_algstr_0(A, B)=k4_algstr_0(C, D)) ) ) ) ) ) ) ) ) ).
fof(t35_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_clvect_1(D, A) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(D)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(D)) =>  ( (E=C & F=B)  => k5_algstr_0(D, E, F)=k5_algstr_0(A, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_clvect_1(B, A) => r1_struct_0(B, k4_struct_0(A))) ) ) ) ).
fof(t37_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_clvect_1(B, A) =>  (! [C] :  (m1_clvect_1(C, A) => r1_struct_0(C, k4_struct_0(B))) ) ) ) ) ) ).
fof(t38_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_clvect_1(B, A) => r1_struct_0(A, k4_struct_0(B))) ) ) ) ).
fof(t39_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_clvect_1(D, A) =>  ( (r1_struct_0(D, B) & r1_struct_0(D, C))  => r1_struct_0(D, k3_rlvect_1(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t40_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (m1_clvect_1(D, A) =>  (r1_struct_0(D, B) => r1_struct_0(D, k1_clvect_1(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t41_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_clvect_1(C, A) =>  (r1_struct_0(C, B) => r1_struct_0(C, k4_algstr_0(A, B))) ) ) ) ) ) ) ).
fof(t42_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_clvect_1(D, A) =>  ( (r1_struct_0(D, B) & r1_struct_0(D, C))  => r1_struct_0(D, k5_algstr_0(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t43_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, C) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(C, C), C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, C), C)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(k2_numbers, C), C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, C), C)))) )  =>  ( (B=C &  (D=k4_struct_0(A) &  (E=k1_realset1(u1_algstr_0(A), B) & F=k2_partfun1(k2_zfmisc_1(k2_numbers, u1_struct_0(A)), u1_struct_0(A), u1_clvect_1(A), k2_zfmisc_1(k2_numbers, B))) ) )  => m1_clvect_1(g1_clvect_1(C, D, E, F), A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  => m1_clvect_1(A, A)) ) ).
fof(t45_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_clvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_clvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) ) )  =>  ( (m1_clvect_1(A, B) & m1_clvect_1(B, A))  => A=B) ) ) ) ) ).
fof(t46_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v2_clvect_1(C) &  (v3_clvect_1(C) &  (v4_clvect_1(C) &  (v5_clvect_1(C) & l1_clvect_1(C)) ) ) ) ) ) ) ) )  =>  ( (m1_clvect_1(A, B) & m1_clvect_1(B, C))  => m1_clvect_1(A, C)) ) ) ) ) ) ) ).
fof(t47_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_clvect_1(B, A) =>  (! [C] :  (m1_clvect_1(C, A) =>  (r1_tarski(u1_struct_0(B), u1_struct_0(C)) => m1_clvect_1(B, C)) ) ) ) ) ) ) ).
fof(t48_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_clvect_1(B, A) =>  (! [C] :  (m1_clvect_1(C, A) =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_struct_0(B, D) => r1_struct_0(C, D)) ) )  => m1_clvect_1(B, C)) ) ) ) ) ) ) ).
fof(t49_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_clvect_1(B) & m1_clvect_1(B, A))  =>  (! [C] :  ( (v1_clvect_1(C) & m1_clvect_1(C, A))  =>  (u1_struct_0(B)=u1_struct_0(C) => B=C) ) ) ) ) ) ) ).
fof(t50_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_clvect_1(B) & m1_clvect_1(B, A))  =>  (! [C] :  ( (v1_clvect_1(C) & m1_clvect_1(C, A))  =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_struct_0(B, D) <=> r1_struct_0(C, D)) ) )  => B=C) ) ) ) ) ) ) ).
fof(t51_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_clvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_clvect_1(B) & m1_clvect_1(B, A))  =>  (u1_struct_0(B)=u1_struct_0(A) => B=A) ) ) ) ) ).
fof(t52_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_clvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_clvect_1(B) & m1_clvect_1(B, A))  =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_struct_0(B, C) <=> r1_struct_0(A, C)) ) )  => B=A) ) ) ) ) ).
fof(t53_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_clvect_1(C, A) =>  (u1_struct_0(C)=B => v6_clvect_1(B, A)) ) ) ) ) ) ) ).
fof(t54_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( ~ (B=k1_xboole_0)  &  (v6_clvect_1(B, A) &  (! [C] :  ( (v1_clvect_1(C) & m1_clvect_1(C, A))  =>  ~ (B=u1_struct_0(C)) ) ) ) ) ) ) ) ) ) ).
fof(d9_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_clvect_1(B) & m1_clvect_1(B, A))  =>  (B=k3_clvect_1(A) <=> u1_struct_0(B)=k6_domain_1(u1_struct_0(A), k4_struct_0(A))) ) ) ) ) ).
fof(d10_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  => k4_clvect_1(A)=g1_clvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_clvect_1(A))) ) ).
fof(t55_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_clvect_1(B, A) => k3_clvect_1(B)=k3_clvect_1(A)) ) ) ) ).
fof(t56_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_clvect_1(B, A) =>  (! [C] :  (m1_clvect_1(C, A) => k3_clvect_1(B)=k3_clvect_1(C)) ) ) ) ) ) ).
fof(t57_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_clvect_1(B, A) => m1_clvect_1(k3_clvect_1(B), A)) ) ) ) ).
fof(t58_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_clvect_1(B, A) => m1_clvect_1(k3_clvect_1(A), B)) ) ) ) ).
fof(t59_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_clvect_1(B, A) =>  (! [C] :  (m1_clvect_1(C, A) => m1_clvect_1(k3_clvect_1(B), C)) ) ) ) ) ) ).
fof(t60_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_clvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) ) )  => m1_clvect_1(A, k4_clvect_1(A))) ) ).
fof(d12_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_clvect_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (m2_clvect_1(C, A, B) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & C=k5_clvect_1(A, D, B)) ) ) ) ) ) ) ) ) ).
fof(t61_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_clvect_1(C, A) =>  (r2_tarski(k4_struct_0(A), k5_clvect_1(A, B, C)) <=> r1_struct_0(C, B)) ) ) ) ) ) ) ).
fof(t62_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_clvect_1(C, A) => r2_tarski(B, k5_clvect_1(A, B, C))) ) ) ) ) ) ).
fof(t63_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_clvect_1(B, A) => k5_clvect_1(A, k4_struct_0(A), B)=u1_struct_0(B)) ) ) ) ).
fof(t64_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_clvect_1(A, B, k3_clvect_1(A))=k6_domain_1(u1_struct_0(A), B)) ) ) ) ).
fof(t65_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_clvect_1(A, B, k4_clvect_1(A))=u1_struct_0(A)) ) ) ) ).
fof(t66_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_clvect_1(C, A) =>  (r2_tarski(k4_struct_0(A), k5_clvect_1(A, B, C)) <=> k5_clvect_1(A, B, C)=u1_struct_0(C)) ) ) ) ) ) ) ).
fof(t67_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_clvect_1(C, A) =>  (r1_struct_0(C, B) <=> k5_clvect_1(A, B, C)=u1_struct_0(C)) ) ) ) ) ) ) ).
fof(t68_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (m1_clvect_1(D, A) =>  (r1_struct_0(D, B) => k5_clvect_1(A, k1_clvect_1(A, B, C), D)=u1_struct_0(D)) ) ) ) ) ) ) ) ) ).
fof(t69_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (m1_clvect_1(D, A) =>  (k5_clvect_1(A, k1_clvect_1(A, B, C), D)=u1_struct_0(D) =>  (C=k5_numbers | r1_struct_0(D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t70_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_clvect_1(C, A) =>  (r1_struct_0(C, B) <=> k5_clvect_1(A, k4_algstr_0(A, B), C)=u1_struct_0(C)) ) ) ) ) ) ) ).
fof(t71_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_clvect_1(D, A) =>  (r1_struct_0(D, B) <=> k5_clvect_1(A, C, D)=k5_clvect_1(A, k3_rlvect_1(A, C, B), D)) ) ) ) ) ) ) ) ) ).
fof(t72_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_clvect_1(D, A) =>  (r1_struct_0(D, B) <=> k5_clvect_1(A, C, D)=k5_clvect_1(A, k5_algstr_0(A, C, B), D)) ) ) ) ) ) ) ) ) ).
fof(t73_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_clvect_1(D, A) =>  (r2_tarski(C, k5_clvect_1(A, B, D)) <=> k5_clvect_1(A, B, D)=k5_clvect_1(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t74_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_clvect_1(C, A) =>  (k5_clvect_1(A, B, C)=k5_clvect_1(A, k4_algstr_0(A, B), C) <=> r1_struct_0(C, B)) ) ) ) ) ) ) ).
fof(t75_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_clvect_1(E, A) =>  ( (r2_tarski(B, k5_clvect_1(A, C, E)) & r2_tarski(B, k5_clvect_1(A, D, E)))  => k5_clvect_1(A, C, E)=k5_clvect_1(A, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t76_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_clvect_1(D, A) =>  ( (r2_tarski(B, k5_clvect_1(A, C, D)) & r2_tarski(B, k5_clvect_1(A, k4_algstr_0(A, C), D)))  => r1_struct_0(D, C)) ) ) ) ) ) ) ) ) ).
fof(t77_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (m1_clvect_1(D, A) =>  (r2_tarski(k1_clvect_1(A, B, C), k5_clvect_1(A, B, D)) =>  (C=k6_complex1 | r1_struct_0(D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t78_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (m1_clvect_1(D, A) =>  (r1_struct_0(D, B) => r2_tarski(k1_clvect_1(A, B, C), k5_clvect_1(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t79_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_clvect_1(C, A) =>  (r2_tarski(k4_algstr_0(A, B), k5_clvect_1(A, B, C)) <=> r1_struct_0(C, B)) ) ) ) ) ) ) ).
fof(t80_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_clvect_1(D, A) =>  (r2_tarski(k3_rlvect_1(A, B, C), k5_clvect_1(A, C, D)) <=> r1_struct_0(D, B)) ) ) ) ) ) ) ) ) ).
fof(t81_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_clvect_1(D, A) =>  (r2_tarski(k5_algstr_0(A, C, B), k5_clvect_1(A, C, D)) <=> r1_struct_0(D, B)) ) ) ) ) ) ) ) ) ).
fof(t82_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_clvect_1(D, A) =>  (r2_tarski(B, k5_clvect_1(A, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (r1_struct_0(D, E) & B=k3_rlvect_1(A, C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t83_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_clvect_1(D, A) =>  (r2_tarski(B, k5_clvect_1(A, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (r1_struct_0(D, E) & B=k5_algstr_0(A, C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t84_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_clvect_1(D, A) =>  ( (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (r2_tarski(B, k5_clvect_1(A, E, D)) & r2_tarski(C, k5_clvect_1(A, E, D))) ) )  <=> r1_struct_0(D, k5_algstr_0(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t85_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_clvect_1(D, A) =>  ~ ( (k5_clvect_1(A, C, D)=k5_clvect_1(A, B, D) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r1_struct_0(D, E) & k3_rlvect_1(A, C, E)=B) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t86_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_clvect_1(D, A) =>  ~ ( (k5_clvect_1(A, C, D)=k5_clvect_1(A, B, D) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r1_struct_0(D, E) & k5_algstr_0(A, C, E)=B) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t87_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_clvect_1(C) & m1_clvect_1(C, A))  =>  (! [D] :  ( (v1_clvect_1(D) & m1_clvect_1(D, A))  =>  (k5_clvect_1(A, B, C)=k5_clvect_1(A, B, D) <=> C=D) ) ) ) ) ) ) ) ) ).
fof(t88_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_clvect_1(D) & m1_clvect_1(D, A))  =>  (! [E] :  ( (v1_clvect_1(E) & m1_clvect_1(E, A))  =>  (k5_clvect_1(A, C, D)=k5_clvect_1(A, B, E) => D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t89_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_clvect_1(B, A) =>  (! [C] :  (m2_clvect_1(C, A, B) =>  (v6_clvect_1(C, A) <=> C=u1_struct_0(B)) ) ) ) ) ) ) ).
fof(t90_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_clvect_1(B) & m1_clvect_1(B, A))  =>  (! [C] :  ( (v1_clvect_1(C) & m1_clvect_1(C, A))  =>  (! [D] :  (m2_clvect_1(D, A, B) =>  (! [E] :  (m2_clvect_1(E, A, C) =>  (D=E => B=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t91_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => m2_clvect_1(k6_domain_1(u1_struct_0(A), B), A, k3_clvect_1(A))) ) ) ) ).
fof(t92_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (m2_clvect_1(B, A, k3_clvect_1(A)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ (B=k6_domain_1(u1_struct_0(A), C)) ) ) ) ) ) ) ) ) ).
fof(t93_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_clvect_1(B, A) => m2_clvect_1(u1_struct_0(B), A, B)) ) ) ) ).
fof(t94_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  => m2_clvect_1(u1_struct_0(A), A, k4_clvect_1(A))) ) ).
fof(t95_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (m2_clvect_1(B, A, k4_clvect_1(A)) => B=u1_struct_0(A)) ) ) ) ) ).
fof(t96_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_clvect_1(B, A) =>  (! [C] :  (m2_clvect_1(C, A, B) =>  (r2_tarski(k4_struct_0(A), C) <=> C=u1_struct_0(B)) ) ) ) ) ) ) ).
fof(t97_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_clvect_1(C, A) =>  (! [D] :  (m2_clvect_1(D, A, C) =>  (r2_tarski(B, D) <=> D=k5_clvect_1(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t98_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_clvect_1(D, A) =>  (! [E] :  (m2_clvect_1(E, A, D) =>  ~ ( (r2_tarski(B, E) &  (r2_tarski(C, E) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r1_struct_0(D, F) & k3_rlvect_1(A, B, F)=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t99_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_clvect_1(D, A) =>  (! [E] :  (m2_clvect_1(E, A, D) =>  ~ ( (r2_tarski(B, E) &  (r2_tarski(C, E) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r1_struct_0(D, F) & k5_algstr_0(A, B, F)=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t100_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_clvect_1(D, A) =>  ( (? [E] :  (m2_clvect_1(E, A, D) &  (r2_tarski(B, E) & r2_tarski(C, E)) ) )  <=> r1_struct_0(D, k5_algstr_0(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t101_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_clvect_1(C, A) =>  (! [D] :  (m2_clvect_1(D, A, C) =>  (! [E] :  (m2_clvect_1(E, A, C) =>  ( (r2_tarski(B, D) & r2_tarski(B, E))  => D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_clvect_1(A))  =>  (v8_clvect_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xcmplx_0(D) =>  (k2_normsp_0(A, k1_clvect_1(A, B, D))=k3_xcmplx_0(k9_complex1(D), k2_normsp_0(A, B)) & r1_xxreal_0(k2_normsp_0(A, k1_algstr_0(A, B, C)), k2_xcmplx_0(k2_normsp_0(A, B), k2_normsp_0(A, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t102_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  => k2_normsp_0(A, k4_struct_0(A))=k5_numbers) ) ).
fof(t103_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_normsp_0(A, k4_algstr_0(A, B))=k2_normsp_0(A, B)) ) ) ) ).
fof(t104_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_xxreal_0(k2_normsp_0(A, k5_algstr_0(A, B, C)), k2_xcmplx_0(k2_normsp_0(A, B), k2_normsp_0(A, C)))) ) ) ) ) ) ).
fof(t105_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_xxreal_0(k5_numbers, k2_normsp_0(A, B))) ) ) ) ).
fof(t106_clvect_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_clvect_1(C) &  (v3_clvect_1(C) &  (v4_clvect_1(C) &  (v5_clvect_1(C) &  (v8_clvect_1(C) & l2_clvect_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) => r1_xxreal_0(k2_normsp_0(C, k3_rlvect_1(C, k1_clvect_1(C, D, A), k1_clvect_1(C, E, B))), k2_xcmplx_0(k3_xcmplx_0(k9_complex1(A), k2_normsp_0(C, D)), k3_xcmplx_0(k9_complex1(B), k2_normsp_0(C, E))))) ) ) ) ) ) ) ) ) ) ).
fof(t107_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k2_normsp_0(A, k5_algstr_0(A, B, C))=k5_numbers <=> B=C) ) ) ) ) ) ) ).
fof(t108_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_normsp_0(A, k5_algstr_0(A, B, C))=k2_normsp_0(A, k5_algstr_0(A, C, B))) ) ) ) ) ) ).
fof(t109_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_xxreal_0(k6_xcmplx_0(k2_normsp_0(A, B), k2_normsp_0(A, C)), k2_normsp_0(A, k5_algstr_0(A, B, C)))) ) ) ) ) ) ).
fof(t110_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k2_normsp_0(A, B), k2_normsp_0(A, C))), k2_normsp_0(A, k5_algstr_0(A, B, C)))) ) ) ) ) ) ).
fof(t111_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_xxreal_0(k2_normsp_0(A, k5_algstr_0(A, B, D)), k2_xcmplx_0(k2_normsp_0(A, k5_algstr_0(A, B, C)), k2_normsp_0(A, k5_algstr_0(A, C, D))))) ) ) ) ) ) ) ) ).
fof(t112_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  & k2_normsp_0(A, k5_algstr_0(A, B, C))=k5_numbers) ) ) ) ) ) ) ) ).
fof(d14_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (D=k6_clvect_1(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) => k1_normsp_0(A, D, E)=k1_clvect_1(A, k1_normsp_0(A, B, E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v9_clvect_1(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v7_ordinal1(E) =>  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(E, F) & r1_xxreal_0(D, k2_normsp_0(A, k5_algstr_0(A, k1_normsp_0(A, B, F), C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t113_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v9_clvect_1(B, A) & v9_clvect_1(C, A))  => v9_clvect_1(k1_normsp_1(A, B, C), A)) ) ) ) ) ) ) ).
fof(t114_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v9_clvect_1(B, A) & v9_clvect_1(C, A))  => v9_clvect_1(k2_normsp_1(A, B, C), A)) ) ) ) ) ) ) ).
fof(t115_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v9_clvect_1(C, A) => v9_clvect_1(k3_normsp_1(A, C, B), A)) ) ) ) ) ) ) ).
fof(t116_clvect_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  (v9_clvect_1(C, B) => v9_clvect_1(k6_clvect_1(B, C, A), B)) ) ) ) ) ) ) ).
fof(t117_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v9_clvect_1(B, A) => v2_comseq_2(k5_normsp_0(A, B))) ) ) ) ) ).
fof(d16_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v9_clvect_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (C=k7_clvect_1(A, B) <=>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v7_ordinal1(E) =>  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(E, F) & r1_xxreal_0(D, k2_normsp_0(A, k5_algstr_0(A, k1_normsp_0(A, B, F), C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t118_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v9_clvect_1(C, A) & k7_clvect_1(A, C)=B)  =>  (v2_comseq_2(k5_normsp_0(A, k3_normsp_1(A, C, B))) & k1_seq_2(k5_normsp_0(A, k3_normsp_1(A, C, B)))=k5_numbers) ) ) ) ) ) ) ) ).
fof(t119_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v9_clvect_1(B, A) & v9_clvect_1(C, A))  => k7_clvect_1(A, k1_normsp_1(A, B, C))=k3_rlvect_1(A, k7_clvect_1(A, B), k7_clvect_1(A, C))) ) ) ) ) ) ) ).
fof(t120_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v9_clvect_1(B, A) & v9_clvect_1(C, A))  => k7_clvect_1(A, k2_normsp_1(A, B, C))=k5_algstr_0(A, k7_clvect_1(A, B), k7_clvect_1(A, C))) ) ) ) ) ) ) ).
fof(t121_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v9_clvect_1(C, A) => k7_clvect_1(A, k3_normsp_1(A, C, B))=k5_algstr_0(A, k7_clvect_1(A, C), B)) ) ) ) ) ) ) ).
fof(t122_clvect_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  (v9_clvect_1(C, B) => k7_clvect_1(B, k6_clvect_1(B, C, A))=k1_clvect_1(B, k7_clvect_1(B, C), A)) ) ) ) ) ) ) ).
fof(t123_clvect_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(B, B), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(k2_numbers, B), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, B), B)))) )  =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v13_algstr_0(F) &  (v2_rlvect_1(F) &  (v3_rlvect_1(F) &  (v4_rlvect_1(F) &  (v2_clvect_1(F) &  (v3_clvect_1(F) &  (v4_clvect_1(F) &  (v5_clvect_1(F) & l1_clvect_1(F)) ) ) ) ) ) ) ) )  =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(F))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(F)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(g1_clvect_1(B, C, D, E))) =>  ( (G=B &  (E=k2_partfun1(k2_zfmisc_1(k2_numbers, u1_struct_0(F)), u1_struct_0(F), u1_clvect_1(F), k2_zfmisc_1(k2_numbers, G)) & I=H) )  => k1_clvect_1(g1_clvect_1(B, C, D, E), I, A)=k1_clvect_1(F, H, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(abstractness_v1_clvect_1, axiom,  (! [A] :  (l1_clvect_1(A) =>  (v1_clvect_1(A) => A=g1_clvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_clvect_1(A))) ) ) ).
fof(dt_l1_clvect_1, axiom,  (! [A] :  (l1_clvect_1(A) => l2_algstr_0(A)) ) ).
fof(existence_l1_clvect_1, axiom,  (? [A] : l1_clvect_1(A)) ).
fof(dt_g1_clvect_1, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(B, A) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k2_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, A), A)))) ) ) )  =>  (v1_clvect_1(g1_clvect_1(A, B, C, D)) & l1_clvect_1(g1_clvect_1(A, B, C, D))) ) ) ).
fof(free_g1_clvect_1, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(B, A) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k2_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, A), A)))) ) ) )  =>  (! [E, F, G, H] :  (g1_clvect_1(A, B, C, D)=g1_clvect_1(E, F, G, H) =>  (A=E &  (B=F &  (C=G & D=H) ) ) ) ) ) ) ).
fof(dt_u1_clvect_1, axiom,  (! [A] :  (l1_clvect_1(A) =>  (v1_funct_1(u1_clvect_1(A)) &  (v1_funct_2(u1_clvect_1(A), k2_zfmisc_1(k2_numbers, u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(u1_clvect_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(dt_k1_clvect_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  &  (m1_subset_1(B, u1_struct_0(A)) & v1_xcmplx_0(C)) )  => m1_subset_1(k1_clvect_1(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k2_clvect_1, axiom,  (v1_clvect_1(k2_clvect_1) & l1_clvect_1(k2_clvect_1)) ).
fof(dt_m1_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_clvect_1(B, A) =>  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(existence_m1_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (? [B] : m1_clvect_1(B, A)) ) ) ).
fof(dt_k3_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (v1_clvect_1(k3_clvect_1(A)) & m1_clvect_1(k3_clvect_1(A), A)) ) ) ).
fof(dt_k4_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (v1_clvect_1(k4_clvect_1(A)) & m1_clvect_1(k4_clvect_1(A), A)) ) ) ).
fof(dt_k5_clvect_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_clvect_1(C, A)) )  => m1_subset_1(k5_clvect_1(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_m2_clvect_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  & m1_clvect_1(B, A))  =>  (! [C] :  (m2_clvect_1(C, A, B) => m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ).
fof(existence_m2_clvect_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  & m1_clvect_1(B, A))  =>  (? [C] : m2_clvect_1(C, A, B)) ) ) ).
fof(abstractness_v7_clvect_1, axiom,  (! [A] :  (l2_clvect_1(A) =>  (v7_clvect_1(A) => A=g2_clvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_clvect_1(A), u1_normsp_0(A))) ) ) ).
fof(dt_l2_clvect_1, axiom,  (! [A] :  (l2_clvect_1(A) =>  (l1_clvect_1(A) & l2_normsp_0(A)) ) ) ).
fof(existence_l2_clvect_1, axiom,  (? [A] : l2_clvect_1(A)) ).
fof(dt_g2_clvect_1, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(B, A) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k2_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, A), A)))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, A, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) )  =>  (v7_clvect_1(g2_clvect_1(A, B, C, D, E)) & l2_clvect_1(g2_clvect_1(A, B, C, D, E))) ) ) ).
fof(free_g2_clvect_1, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(B, A) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k2_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, A), A)))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, A, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) )  =>  (! [F, G, H, I, J] :  (g2_clvect_1(A, B, C, D, E)=g2_clvect_1(F, G, H, I, J) =>  (A=F &  (B=G &  (C=H &  (D=I & E=J) ) ) ) ) ) ) ) ).
fof(dt_k6_clvect_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  & v1_xcmplx_0(C)) )  =>  (v1_funct_1(k6_clvect_1(A, B, C)) &  (v1_funct_2(k6_clvect_1(A, B, C), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k6_clvect_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(dt_k7_clvect_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => m1_subset_1(k7_clvect_1(A, B), u1_struct_0(A))) ) ).
fof(t25_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v6_clvect_1(B, A) &  (v6_clvect_1(C, A) & D=a_3_0_clvect_1(A, B, C)) )  => v6_clvect_1(D, A)) ) ) ) ) ) ) ) ) ).
fof(d11_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_clvect_1(C, A) => k5_clvect_1(A, B, C)=a_3_1_clvect_1(A, B, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_clvect_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (r2_hidden(A, a_3_0_clvect_1(B, C, D)) <=>  (? [E, F] :  ( (m1_subset_1(E, u1_struct_0(B)) & m1_subset_1(F, u1_struct_0(B)))  &  (A=k3_rlvect_1(B, F, E) &  (r2_tarski(F, C) & r2_tarski(E, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_clvect_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) & l1_clvect_1(B)) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) & m1_clvect_1(D, B)) )  =>  (r2_hidden(A, a_3_1_clvect_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k3_rlvect_1(B, C, E) & r1_struct_0(D, E)) ) ) ) ) ) ).
fof(d1_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_clvect_2(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v7_ordinal1(E) =>  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(E, F) & r1_xxreal_0(D, k13_csspace(A, k8_nat_1(u1_struct_0(A), B, F), C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v3_funct_1(B) => v1_clvect_2(B, A)) ) ) ) ) ).
fof(t2_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_clvect_2(B, A) =>  ( (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  (r1_xxreal_0(D, E) &  ~ (k8_nat_1(u1_struct_0(A), C, E)=k8_nat_1(u1_struct_0(A), B, E)) ) ) ) ) )  | v1_clvect_2(C, A)) ) ) ) ) ) ) ) ).
fof(t3_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_clvect_2(B, A) & v1_clvect_2(C, A))  => v1_clvect_2(k14_csspace(A, B, C), A)) ) ) ) ) ) ) ).
fof(t4_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_clvect_2(B, A) & v1_clvect_2(C, A))  => v1_clvect_2(k2_normsp_1(A, B, C), A)) ) ) ) ) ) ) ).
fof(t5_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_clvect_2(C, A) => v1_clvect_2(k6_clvect_1(A, C, B), A)) ) ) ) ) ) ) ).
fof(t6_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_clvect_2(B, A) => v1_clvect_2(k5_vfunct_1(k4_ordinal1, A, B), A)) ) ) ) ) ).
fof(t7_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_clvect_2(C, A) => v1_clvect_2(k5_bhsp_1(A, C, B), A)) ) ) ) ) ) ) ).
fof(t8_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_clvect_2(C, A) => v1_clvect_2(k3_normsp_1(A, C, B), A)) ) ) ) ) ) ) ).
fof(t9_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_clvect_2(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v7_ordinal1(E) =>  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(E, F) & r1_xxreal_0(D, k11_csspace(A, k5_algstr_0(A, k8_nat_1(u1_struct_0(A), B, F), C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_clvect_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (C=k1_clvect_2(A, B) <=>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v7_ordinal1(E) =>  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(E, F) & r1_xxreal_0(D, k13_csspace(A, k8_nat_1(u1_struct_0(A), B, F), C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v3_funct_1(C) & r2_tarski(B, k10_xtuple_0(C)))  => k1_clvect_2(A, C)=B) ) ) ) ) ) ) ).
fof(t11_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v3_funct_1(C) =>  ( (! [D] :  (v7_ordinal1(D) =>  ~ (k8_nat_1(u1_struct_0(A), C, D)=B) ) )  | k1_clvect_2(A, C)=B) ) ) ) ) ) ) ) ).
fof(t12_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_clvect_2(B, A) =>  ( (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  (r1_xxreal_0(D, E) &  ~ (k8_nat_1(u1_struct_0(A), C, E)=k8_nat_1(u1_struct_0(A), B, E)) ) ) ) ) )  | k1_clvect_2(A, B)=k1_clvect_2(A, C)) ) ) ) ) ) ) ) ).
fof(t13_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_clvect_2(B, A) & v1_clvect_2(C, A))  => k1_clvect_2(A, k14_csspace(A, B, C))=k3_rlvect_1(A, k1_clvect_2(A, B), k1_clvect_2(A, C))) ) ) ) ) ) ) ).
fof(t14_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_clvect_2(B, A) & v1_clvect_2(C, A))  => k1_clvect_2(A, k2_normsp_1(A, B, C))=k5_algstr_0(A, k1_clvect_2(A, B), k1_clvect_2(A, C))) ) ) ) ) ) ) ).
fof(t15_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_clvect_2(C, A) => k1_clvect_2(A, k6_clvect_1(A, C, B))=k1_clvect_1(A, k1_clvect_2(A, C), B)) ) ) ) ) ) ) ).
fof(t16_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_clvect_2(B, A) => k1_clvect_2(A, k5_vfunct_1(k4_ordinal1, A, B))=k4_algstr_0(A, k1_clvect_2(A, B))) ) ) ) ) ).
fof(t17_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_clvect_2(C, A) => k1_clvect_2(A, k5_bhsp_1(A, C, B))=k3_rlvect_1(A, k1_clvect_2(A, C), B)) ) ) ) ) ) ) ).
fof(t18_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_clvect_2(C, A) => k1_clvect_2(A, k3_normsp_1(A, C, B))=k5_algstr_0(A, k1_clvect_2(A, C), B)) ) ) ) ) ) ) ).
fof(t19_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_clvect_2(C, A) =>  (k1_clvect_2(A, C)=B <=>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v7_ordinal1(E) =>  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(E, F) & r1_xxreal_0(D, k11_csspace(A, k5_algstr_0(A, k8_nat_1(u1_struct_0(A), C, F), B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (C=k2_clvect_2(A, B) <=>  (! [D] :  (v7_ordinal1(D) => k8_nat_1(k1_numbers, C, D)=k11_csspace(A, k8_nat_1(u1_struct_0(A), B, D))) ) ) ) ) ) ) ) ) ).
fof(t20_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_clvect_2(B, A) => v2_comseq_2(k2_clvect_2(A, B))) ) ) ) ) ).
fof(t21_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_clvect_2(C, A) & k1_clvect_2(A, C)=B)  =>  (v2_comseq_2(k2_clvect_2(A, C)) & k1_seq_2(k2_clvect_2(A, C))=k11_csspace(A, B)) ) ) ) ) ) ) ) ).
fof(t22_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_clvect_2(C, A) & k1_clvect_2(A, C)=B)  =>  (v2_comseq_2(k2_clvect_2(A, k3_normsp_1(A, C, B))) & k1_seq_2(k2_clvect_2(A, k3_normsp_1(A, C, B)))=k5_numbers) ) ) ) ) ) ) ) ).
fof(d4_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (D=k3_clvect_2(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) => k8_nat_1(k1_numbers, D, E)=k13_csspace(A, k8_nat_1(u1_struct_0(A), B, E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_clvect_2(C, A) & k1_clvect_2(A, C)=B)  => v2_comseq_2(k3_clvect_2(A, C, B))) ) ) ) ) ) ) ).
fof(t24_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_clvect_2(C, A) & k1_clvect_2(A, C)=B)  =>  (v2_comseq_2(k3_clvect_2(A, C, B)) & k1_seq_2(k3_clvect_2(A, C, B))=k5_numbers) ) ) ) ) ) ) ) ).
fof(t25_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_clvect_2(D, A) &  (k1_clvect_2(A, D)=B &  (v1_clvect_2(E, A) & k1_clvect_2(A, E)=C) ) )  =>  (v2_comseq_2(k2_clvect_2(A, k14_csspace(A, D, E))) & k1_seq_2(k2_clvect_2(A, k14_csspace(A, D, E)))=k11_csspace(A, k3_rlvect_1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_clvect_2(D, A) &  (k1_clvect_2(A, D)=B &  (v1_clvect_2(E, A) & k1_clvect_2(A, E)=C) ) )  =>  (v2_comseq_2(k2_clvect_2(A, k3_normsp_1(A, k14_csspace(A, D, E), k3_rlvect_1(A, B, C)))) & k1_seq_2(k2_clvect_2(A, k3_normsp_1(A, k14_csspace(A, D, E), k3_rlvect_1(A, B, C))))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_clvect_2(D, A) &  (k1_clvect_2(A, D)=B &  (v1_clvect_2(E, A) & k1_clvect_2(A, E)=C) ) )  =>  (v2_comseq_2(k2_clvect_2(A, k2_normsp_1(A, D, E))) & k1_seq_2(k2_clvect_2(A, k2_normsp_1(A, D, E)))=k11_csspace(A, k5_algstr_0(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_clvect_2(D, A) &  (k1_clvect_2(A, D)=B &  (v1_clvect_2(E, A) & k1_clvect_2(A, E)=C) ) )  =>  (v2_comseq_2(k2_clvect_2(A, k3_normsp_1(A, k2_normsp_1(A, D, E), k5_algstr_0(A, B, C)))) & k1_seq_2(k2_clvect_2(A, k3_normsp_1(A, k2_normsp_1(A, D, E), k5_algstr_0(A, B, C))))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_clvect_2(D, A) & k1_clvect_2(A, D)=B)  =>  (v2_comseq_2(k2_clvect_2(A, k6_clvect_1(A, D, C))) & k1_seq_2(k2_clvect_2(A, k6_clvect_1(A, D, C)))=k11_csspace(A, k1_clvect_1(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t30_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_clvect_2(D, A) & k1_clvect_2(A, D)=B)  =>  (v2_comseq_2(k2_clvect_2(A, k3_normsp_1(A, k6_clvect_1(A, D, C), k1_clvect_1(A, B, C)))) & k1_seq_2(k2_clvect_2(A, k3_normsp_1(A, k6_clvect_1(A, D, C), k1_clvect_1(A, B, C))))=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t31_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_clvect_2(C, A) & k1_clvect_2(A, C)=B)  =>  (v2_comseq_2(k2_clvect_2(A, k5_vfunct_1(k4_ordinal1, A, C))) & k1_seq_2(k2_clvect_2(A, k5_vfunct_1(k4_ordinal1, A, C)))=k11_csspace(A, k4_algstr_0(A, B))) ) ) ) ) ) ) ) ).
fof(t32_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_clvect_2(C, A) & k1_clvect_2(A, C)=B)  =>  (v2_comseq_2(k2_clvect_2(A, k3_normsp_1(A, k5_vfunct_1(k4_ordinal1, A, C), k4_algstr_0(A, B)))) & k1_seq_2(k2_clvect_2(A, k3_normsp_1(A, k5_vfunct_1(k4_ordinal1, A, C), k4_algstr_0(A, B))))=k5_numbers) ) ) ) ) ) ) ) ).
fof(t33_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_clvect_2(D, A) & k1_clvect_2(A, D)=C)  =>  (v2_comseq_2(k2_clvect_2(A, k3_normsp_1(A, k5_bhsp_1(A, D, B), k3_rlvect_1(A, C, B)))) & k1_seq_2(k2_clvect_2(A, k3_normsp_1(A, k5_bhsp_1(A, D, B), k3_rlvect_1(A, C, B))))=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t34_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_clvect_2(D, A) & k1_clvect_2(A, D)=C)  =>  (v2_comseq_2(k2_clvect_2(A, k3_normsp_1(A, D, B))) & k1_seq_2(k2_clvect_2(A, k3_normsp_1(A, D, B)))=k11_csspace(A, k5_algstr_0(A, C, B))) ) ) ) ) ) ) ) ) ) ).
fof(t35_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_clvect_2(D, A) & k1_clvect_2(A, D)=C)  =>  (v2_comseq_2(k2_clvect_2(A, k3_normsp_1(A, k3_normsp_1(A, D, B), k5_algstr_0(A, C, B)))) & k1_seq_2(k2_clvect_2(A, k3_normsp_1(A, k3_normsp_1(A, D, B), k5_algstr_0(A, C, B))))=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t36_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_clvect_2(D, A) &  (k1_clvect_2(A, D)=B &  (v1_clvect_2(E, A) & k1_clvect_2(A, E)=C) ) )  =>  (v2_comseq_2(k3_clvect_2(A, k14_csspace(A, D, E), k3_rlvect_1(A, B, C))) & k1_seq_2(k3_clvect_2(A, k14_csspace(A, D, E), k3_rlvect_1(A, B, C)))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_clvect_2(D, A) &  (k1_clvect_2(A, D)=B &  (v1_clvect_2(E, A) & k1_clvect_2(A, E)=C) ) )  =>  (v2_comseq_2(k3_clvect_2(A, k2_normsp_1(A, D, E), k5_algstr_0(A, B, C))) & k1_seq_2(k3_clvect_2(A, k2_normsp_1(A, D, E), k5_algstr_0(A, B, C)))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_clvect_2(D, A) & k1_clvect_2(A, D)=B)  =>  (v2_comseq_2(k3_clvect_2(A, k6_clvect_1(A, D, C), k1_clvect_1(A, B, C))) & k1_seq_2(k3_clvect_2(A, k6_clvect_1(A, D, C), k1_clvect_1(A, B, C)))=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t39_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_clvect_2(D, A) & k1_clvect_2(A, D)=C)  =>  (v2_comseq_2(k3_clvect_2(A, k5_bhsp_1(A, D, B), k3_rlvect_1(A, C, B))) & k1_seq_2(k3_clvect_2(A, k5_bhsp_1(A, D, B), k3_rlvect_1(A, C, B)))=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t40_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (r2_tarski(C, k4_clvect_2(A, B, D)) <=>  ~ (r1_xxreal_0(D, k11_csspace(A, k5_algstr_0(A, B, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t41_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (r2_tarski(C, k4_clvect_2(A, B, D)) <=>  ~ (r1_xxreal_0(D, k13_csspace(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t42_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  => r2_tarski(B, k4_clvect_2(A, B, C))) ) ) ) ) ) ) ).
fof(t43_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_tarski(C, k4_clvect_2(A, B, E)) &  (r2_tarski(D, k4_clvect_2(A, B, E)) & r1_xxreal_0(k3_xcmplx_0(2, E), k13_csspace(A, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xreal_0(E) =>  (r2_tarski(C, k4_clvect_2(A, B, E)) => r2_tarski(k5_algstr_0(A, C, D), k4_clvect_2(A, k5_algstr_0(A, B, D), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (r2_tarski(C, k4_clvect_2(A, B, D)) => r2_tarski(k5_algstr_0(A, C, B), k4_clvect_2(A, k4_struct_0(A), D))) ) ) ) ) ) ) ) ) ).
fof(t46_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ( (r2_tarski(C, k4_clvect_2(A, B, E)) & r1_xxreal_0(E, D))  => r2_tarski(C, k4_clvect_2(A, B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (r2_tarski(C, k5_clvect_2(A, B, D)) <=> r1_xxreal_0(k11_csspace(A, k5_algstr_0(A, B, C)), D)) ) ) ) ) ) ) ) ) ).
fof(t48_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (r2_tarski(C, k5_clvect_2(A, B, D)) <=> r1_xxreal_0(k13_csspace(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t49_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) =>  (r1_xxreal_0(k5_numbers, C) => r2_tarski(B, k5_clvect_2(A, B, C))) ) ) ) ) ) ) ).
fof(t50_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (r2_tarski(C, k4_clvect_2(A, B, D)) => r2_tarski(C, k5_clvect_2(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t51_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (r2_tarski(C, k6_clvect_2(A, B, D)) <=> k11_csspace(A, k5_algstr_0(A, B, C))=D) ) ) ) ) ) ) ) ) ).
fof(t52_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (r2_tarski(C, k6_clvect_2(A, B, D)) <=> k13_csspace(A, B, C)=D) ) ) ) ) ) ) ) ) ).
fof(t53_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (r2_tarski(C, k6_clvect_2(A, B, D)) => r2_tarski(C, k5_clvect_2(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t54_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) => r1_tarski(k4_clvect_2(A, B, C), k5_clvect_2(A, B, C))) ) ) ) ) ) ).
fof(t55_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) => r1_tarski(k6_clvect_2(A, B, C), k5_clvect_2(A, B, C))) ) ) ) ) ) ).
fof(t56_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) => k4_subset_1(u1_struct_0(A), k4_clvect_2(A, B, C), k6_clvect_2(A, B, C))=k5_clvect_2(A, B, C)) ) ) ) ) ) ).
fof(d8_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v2_clvect_2(B, A) <=>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(D, F) & r1_xxreal_0(C, k13_csspace(A, k8_nat_1(u1_struct_0(A), B, E), k8_nat_1(u1_struct_0(A), B, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v3_funct_1(B) => v2_clvect_2(B, A)) ) ) ) ) ).
fof(t58_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v2_clvect_2(B, A) <=>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(D, F) & r1_xxreal_0(C, k11_csspace(A, k5_algstr_0(A, k8_nat_1(u1_struct_0(A), B, E), k8_nat_1(u1_struct_0(A), B, F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v2_clvect_2(B, A) & v2_clvect_2(C, A))  => v2_clvect_2(k14_csspace(A, B, C), A)) ) ) ) ) ) ) ).
fof(t60_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v2_clvect_2(B, A) & v2_clvect_2(C, A))  => v2_clvect_2(k2_normsp_1(A, B, C), A)) ) ) ) ) ) ) ).
fof(t61_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v2_clvect_2(C, A) => v2_clvect_2(k6_clvect_1(A, C, B), A)) ) ) ) ) ) ) ).
fof(t62_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v2_clvect_2(B, A) => v2_clvect_2(k5_vfunct_1(k4_ordinal1, A, B), A)) ) ) ) ) ).
fof(t63_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v2_clvect_2(C, A) => v2_clvect_2(k5_bhsp_1(A, C, B), A)) ) ) ) ) ) ) ).
fof(t64_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v2_clvect_2(C, A) => v2_clvect_2(k3_normsp_1(A, C, B), A)) ) ) ) ) ) ) ).
fof(t65_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_clvect_2(B, A) => v2_clvect_2(B, A)) ) ) ) ) ).
fof(d9_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (r1_clvect_2(A, B, C) <=>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v7_ordinal1(E) =>  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(E, F) & r1_xxreal_0(D, k13_csspace(A, k8_nat_1(u1_struct_0(A), B, F), k8_nat_1(u1_struct_0(A), C, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r1_clvect_2(A, B, B)) ) ) ) ).
fof(t67_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (r1_clvect_2(A, B, C) => r1_clvect_2(A, C, B)) ) ) ) ) ) ) ).
fof(t68_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (r2_clvect_2(A, B, C) & r2_clvect_2(A, C, D))  => r2_clvect_2(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t69_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (r2_clvect_2(A, B, C) <=>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v7_ordinal1(E) =>  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(E, F) & r1_xxreal_0(D, k11_csspace(A, k5_algstr_0(A, k8_nat_1(u1_struct_0(A), B, F), k8_nat_1(u1_struct_0(A), C, F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (? [D] :  (v7_ordinal1(D) &  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(D, E) => k8_nat_1(u1_struct_0(A), B, E)=k8_nat_1(u1_struct_0(A), C, E)) ) ) ) )  => r2_clvect_2(A, B, C)) ) ) ) ) ) ) ).
fof(t71_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v2_clvect_2(B, A) & r2_clvect_2(A, B, C))  => v2_clvect_2(C, A)) ) ) ) ) ) ) ).
fof(t72_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_clvect_2(B, A) & r2_clvect_2(A, B, C))  => v1_clvect_2(C, A)) ) ) ) ) ) ) ).
fof(t73_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_clvect_2(C, A) &  (k1_clvect_2(A, C)=B & r2_clvect_2(A, C, D)) )  =>  (v1_clvect_2(D, A) & k1_clvect_2(A, D)=B) ) ) ) ) ) ) ) ) ) ).
fof(d10_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v3_clvect_2(B, A) <=>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k11_csspace(A, k8_nat_1(u1_struct_0(A), B, D)), C)) ) ) ) ) ) ) ) ) ) ).
fof(t74_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v3_clvect_2(B, A) & v3_clvect_2(C, A))  => v3_clvect_2(k14_csspace(A, B, C), A)) ) ) ) ) ) ) ).
fof(t75_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v3_clvect_2(B, A) => v3_clvect_2(k5_vfunct_1(k4_ordinal1, A, B), A)) ) ) ) ) ).
fof(t76_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v3_clvect_2(B, A) & v3_clvect_2(C, A))  => v3_clvect_2(k2_normsp_1(A, B, C), A)) ) ) ) ) ) ) ).
fof(t77_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v3_clvect_2(C, A) => v3_clvect_2(k6_clvect_1(A, C, B), A)) ) ) ) ) ) ) ).
fof(t78_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v3_funct_1(B) => v3_clvect_2(B, A)) ) ) ) ) ).
fof(t79_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(E, C) & r1_xxreal_0(D, k11_csspace(A, k8_nat_1(u1_struct_0(A), B, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t80_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_clvect_2(B, A) => v3_clvect_2(B, A)) ) ) ) ) ).
fof(t81_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v3_clvect_2(B, A) & r2_clvect_2(A, B, C))  => v3_clvect_2(C, A)) ) ) ) ) ) ) ).
fof(t82_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v3_clvect_2(B, A) & m2_valued_0(C, u1_struct_0(A), B))  => v3_clvect_2(C, A)) ) ) ) ) ) ) ).
fof(t83_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_clvect_2(B, A) & m2_valued_0(C, u1_struct_0(A), B))  => v1_clvect_2(C, A)) ) ) ) ) ) ) ).
fof(t84_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (m2_valued_0(C, u1_struct_0(A), B) & v1_clvect_2(B, A))  => k1_clvect_2(A, C)=k1_clvect_2(A, B)) ) ) ) ) ) ) ).
fof(t85_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v2_clvect_2(B, A) & m2_valued_0(C, u1_struct_0(A), B))  => v2_clvect_2(C, A)) ) ) ) ) ) ) ).
fof(t86_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  (v7_ordinal1(D) => k1_valued_0(u1_struct_0(A), k14_csspace(A, B, C), D)=k14_csspace(A, k1_valued_0(u1_struct_0(A), B, D), k1_valued_0(u1_struct_0(A), C, D))) ) ) ) ) ) ) ) ).
fof(t87_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v7_ordinal1(C) => k1_valued_0(u1_struct_0(A), k5_vfunct_1(k4_ordinal1, A, B), C)=k5_vfunct_1(k4_ordinal1, A, k1_valued_0(u1_struct_0(A), B, C))) ) ) ) ) ) ).
fof(t88_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  (v7_ordinal1(D) => k1_valued_0(u1_struct_0(A), k2_normsp_1(A, B, C), D)=k2_normsp_1(A, k1_valued_0(u1_struct_0(A), B, D), k1_valued_0(u1_struct_0(A), C, D))) ) ) ) ) ) ) ) ).
fof(t89_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  (v7_ordinal1(D) => k1_valued_0(u1_struct_0(A), k6_clvect_1(A, C, B), D)=k6_clvect_1(A, k1_valued_0(u1_struct_0(A), C, D), B)) ) ) ) ) ) ) ) ).
fof(t90_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (v1_clvect_2(B, A) =>  (v1_clvect_2(k1_valued_0(u1_struct_0(A), B, C), A) & k1_clvect_2(A, k1_valued_0(u1_struct_0(A), B, C))=k1_clvect_2(A, B)) ) ) ) ) ) ) ) ).
fof(t91_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_clvect_2(B, A) =>  ( (! [D] :  (v7_ordinal1(D) =>  ~ (B=k1_valued_0(u1_struct_0(A), C, D)) ) )  | v1_clvect_2(C, A)) ) ) ) ) ) ) ) ).
fof(t92_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v2_clvect_2(B, A) =>  ( (! [D] :  (v7_ordinal1(D) =>  ~ (B=k1_valued_0(u1_struct_0(A), C, D)) ) )  | v2_clvect_2(C, A)) ) ) ) ) ) ) ) ).
fof(t93_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (v2_clvect_2(B, A) => v2_clvect_2(k1_valued_0(u1_struct_0(A), B, C), A)) ) ) ) ) ) ) ).
fof(t94_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  (v7_ordinal1(D) =>  (r2_clvect_2(A, B, C) => r2_clvect_2(A, k1_valued_0(u1_struct_0(A), B, D), k1_valued_0(u1_struct_0(A), C, D))) ) ) ) ) ) ) ) ) ).
fof(t95_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (v3_clvect_2(B, A) => v3_clvect_2(k1_valued_0(u1_struct_0(A), B, C), A)) ) ) ) ) ) ) ).
fof(t96_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (v3_funct_1(B) => v3_funct_1(k1_valued_0(u1_struct_0(A), B, C))) ) ) ) ) ) ) ).
fof(d11_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (v4_clvect_2(A) <=>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v2_clvect_2(B, A) => v1_clvect_2(B, A)) ) ) ) ) ) ).
fof(t97_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v4_clvect_2(A) & v2_clvect_2(B, A))  => v3_clvect_2(B, A)) ) ) ) ) ).
fof(dt_k1_clvect_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => m1_subset_1(k1_clvect_2(A, B), u1_struct_0(A))) ) ).
fof(dt_k2_clvect_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (v1_funct_1(k2_clvect_2(A, B)) &  (v1_funct_2(k2_clvect_2(A, B), k4_ordinal1, k1_numbers) & m1_subset_1(k2_clvect_2(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k3_clvect_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  & m1_subset_1(C, u1_struct_0(A))) )  =>  (v1_funct_1(k3_clvect_2(A, B, C)) &  (v1_funct_2(k3_clvect_2(A, B, C), k4_ordinal1, k1_numbers) & m1_subset_1(k3_clvect_2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k4_clvect_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & v1_xreal_0(C)) )  => m1_subset_1(k4_clvect_2(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k5_clvect_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & v1_xreal_0(C)) )  => m1_subset_1(k5_clvect_2(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k6_clvect_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & v1_xreal_0(C)) )  => m1_subset_1(k6_clvect_2(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(symmetry_r2_clvect_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (r2_clvect_2(A, B, C) => r2_clvect_2(A, C, B)) ) ) ).
fof(reflexivity_r2_clvect_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  => r2_clvect_2(A, B, B)) ) ).
fof(redefinition_r2_clvect_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (r2_clvect_2(A, B, C) <=> r1_clvect_2(A, B, C)) ) ) ).
fof(d5_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) => k4_clvect_2(A, B, C)=a_3_0_clvect_2(A, B, C)) ) ) ) ) ) ).
fof(d6_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) => k5_clvect_2(A, B, C)=a_3_1_clvect_2(A, B, C)) ) ) ) ) ) ).
fof(d7_clvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) => k6_clvect_2(A, B, C)=a_3_2_clvect_2(A, B, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_clvect_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v2_csspace(B) & l1_csspace(B)) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_0_clvect_2(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E &  ~ (r1_xxreal_0(D, k11_csspace(B, k5_algstr_0(B, C, E)))) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_clvect_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v2_csspace(B) & l1_csspace(B)) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_1_clvect_2(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E & r1_xxreal_0(k11_csspace(B, k5_algstr_0(B, C, E)), D)) ) ) ) ) ) ).
fof(fraenkel_a_3_2_clvect_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v2_csspace(B) & l1_csspace(B)) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_2_clvect_2(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E & k11_csspace(B, k5_algstr_0(B, C, E))=D) ) ) ) ) ) ).
fof(t1_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => k14_csspace(A, k1_bhsp_4(A, B), k1_bhsp_4(A, C))=k1_bhsp_4(A, k14_csspace(A, B, C))) ) ) ) ) ) ).
fof(t2_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => k2_normsp_1(A, k1_bhsp_4(A, B), k1_bhsp_4(A, C))=k1_bhsp_4(A, k2_normsp_1(A, B, C))) ) ) ) ) ) ).
fof(t3_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v1_xcmplx_0(C) => k1_bhsp_4(A, k6_clvect_1(A, B, C))=k6_clvect_1(A, k1_bhsp_4(A, B), C)) ) ) ) ) ) ).
fof(t4_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => k1_bhsp_4(A, k5_vfunct_1(k4_ordinal1, A, B))=k5_vfunct_1(k4_ordinal1, A, k1_bhsp_4(A, B))) ) ) ) ).
fof(t5_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  (v1_xcmplx_0(E) => k14_csspace(A, k6_clvect_1(A, k1_bhsp_4(A, B), D), k6_clvect_1(A, k1_bhsp_4(A, C), E))=k1_bhsp_4(A, k14_csspace(A, k6_clvect_1(A, B, D), k6_clvect_1(A, C, E)))) ) ) ) ) ) ) ) ) ) ).
fof(d1_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_clvect_3(B, A) <=> v1_clvect_2(k1_bhsp_4(A, B), A)) ) ) ) ) ).
fof(d2_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => k1_clvect_3(A, B)=k1_clvect_2(A, k1_bhsp_4(A, B))) ) ) ) ).
fof(t6_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_clvect_3(B, A) & v1_clvect_3(C, A))  =>  (v1_clvect_3(k14_csspace(A, B, C), A) & k1_clvect_3(A, k14_csspace(A, B, C))=k3_rlvect_1(A, k1_clvect_3(A, B), k1_clvect_3(A, C))) ) ) ) ) ) ) ) ).
fof(t7_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_clvect_3(B, A) & v1_clvect_3(C, A))  =>  (v1_clvect_3(k2_normsp_1(A, B, C), A) & k1_clvect_3(A, k2_normsp_1(A, B, C))=k5_algstr_0(A, k1_clvect_3(A, B), k1_clvect_3(A, C))) ) ) ) ) ) ) ) ).
fof(t8_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v1_xcmplx_0(C) =>  (v1_clvect_3(B, A) =>  (v1_clvect_3(k6_clvect_1(A, B, C), A) & k1_clvect_3(A, k6_clvect_1(A, B, C))=k1_clvect_1(A, k1_clvect_3(A, B), C)) ) ) ) ) ) ) ) ).
fof(t9_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_clvect_3(B, A) =>  (v1_clvect_2(B, A) & k1_clvect_2(A, B)=k4_struct_0(A)) ) ) ) ) ) ).
fof(t10_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) &  (v4_clvect_2(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_clvect_3(B, A) <=>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(D, F) & r1_xxreal_0(C, k11_csspace(A, k5_algstr_0(A, k1_normsp_0(A, k1_bhsp_4(A, B), E), k1_normsp_0(A, k1_bhsp_4(A, B), F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_clvect_3(B, A) => v3_clvect_2(k1_bhsp_4(A, B), A)) ) ) ) ) ).
fof(t12_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (! [D] :  (v7_ordinal1(D) => k1_normsp_0(A, C, D)=k1_normsp_0(A, B, k5_numbers)) )  => k1_bhsp_4(A, k1_valued_0(u1_struct_0(A), B, 1))=k2_normsp_1(A, k1_valued_0(u1_struct_0(A), k1_bhsp_4(A, B), 1), C)) ) ) ) ) ) ) ).
fof(t13_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_clvect_3(B, A) =>  (! [C] :  (v7_ordinal1(C) => v1_clvect_3(k1_valued_0(u1_struct_0(A), B, C), A)) ) ) ) ) ) ) ).
fof(t14_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (? [C] :  (v7_ordinal1(C) & v1_clvect_3(k1_valued_0(u1_struct_0(A), B, C), A)) )  => v1_clvect_3(B, A)) ) ) ) ) ).
fof(d3_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v7_ordinal1(C) => k2_clvect_3(A, B, C)=k1_normsp_0(A, k1_bhsp_4(A, B), C)) ) ) ) ) ) ).
fof(t15_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => k2_clvect_3(A, B, k5_numbers)=k1_normsp_0(A, B, k5_numbers)) ) ) ) ).
fof(t16_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => k2_clvect_3(A, B, 1)=k3_rlvect_1(A, k2_clvect_3(A, B, k5_numbers), k1_normsp_0(A, B, 1))) ) ) ) ).
fof(t17_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => k2_clvect_3(A, B, 1)=k3_rlvect_1(A, k1_normsp_0(A, B, k5_numbers), k1_normsp_0(A, B, 1))) ) ) ) ).
fof(t18_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v7_ordinal1(C) => k2_clvect_3(A, B, k1_nat_1(C, 1))=k3_rlvect_1(A, k2_clvect_3(A, B, C), k1_normsp_0(A, B, k1_nat_1(C, 1)))) ) ) ) ) ) ).
fof(t19_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v7_ordinal1(C) => k1_normsp_0(A, B, k1_nat_1(C, 1))=k5_algstr_0(A, k2_clvect_3(A, B, k1_nat_1(C, 1)), k2_clvect_3(A, B, C))) ) ) ) ) ) ).
fof(t20_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => k1_normsp_0(A, B, 1)=k5_algstr_0(A, k2_clvect_3(A, B, 1), k2_clvect_3(A, B, k5_numbers))) ) ) ) ).
fof(d4_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k3_clvect_3(A, B, C, D)=k5_algstr_0(A, k2_clvect_3(A, B, C), k2_clvect_3(A, B, D))) ) ) ) ) ) ) ) ).
fof(t21_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => k3_clvect_3(A, B, 1, k5_numbers)=k1_normsp_0(A, B, 1)) ) ) ) ).
fof(t22_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v7_ordinal1(C) => k3_clvect_3(A, B, k1_nat_1(C, 1), C)=k1_normsp_0(A, B, k1_nat_1(C, 1))) ) ) ) ) ) ).
fof(t23_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) &  (v4_clvect_2(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_clvect_3(B, A) <=>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(D, F) & r1_xxreal_0(C, k11_csspace(A, k5_algstr_0(A, k2_clvect_3(A, B, E), k2_clvect_3(A, B, F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) &  (v4_clvect_2(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_clvect_3(B, A) <=>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(D, F) & r1_xxreal_0(C, k11_csspace(A, k3_clvect_3(A, B, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_clvect_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) => k4_clvect_3(A, B)=k8_nat_1(k2_numbers, k10_comseq_3(A), B)) ) ) ) ).
fof(d6_clvect_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k5_clvect_3(A, B, C)=k6_xcmplx_0(k4_clvect_3(A, B), k4_clvect_3(A, C))) ) ) ) ) ) ).
fof(d7_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v2_clvect_3(B, A) <=> v1_series_1(k2_clvect_2(A, B))) ) ) ) ) ).
fof(t25_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v2_clvect_3(B, A) & v2_clvect_3(C, A))  => v2_clvect_3(k14_csspace(A, B, C), A)) ) ) ) ) ) ) ).
fof(t26_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v1_xcmplx_0(C) =>  (v2_clvect_3(B, A) => v2_clvect_3(k6_clvect_1(A, B, C), A)) ) ) ) ) ) ) ).
fof(t27_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( ( (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k8_nat_1(k1_numbers, k2_clvect_2(A, B), D), k8_nat_1(k1_numbers, C, D))) )  & v1_series_1(C))  => v2_clvect_3(B, A)) ) ) ) ) ) ) ).
fof(t28_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( ( (! [D] :  (v7_ordinal1(D) =>  ( ~ (k1_normsp_0(A, B, D)=k4_struct_0(A))  & k8_nat_1(k1_numbers, C, D)=k7_xcmplx_0(k11_csspace(A, k1_normsp_0(A, B, k1_nat_1(D, 1))), k11_csspace(A, k1_normsp_0(A, B, D)))) ) )  & v2_comseq_2(C))  =>  (r1_xxreal_0(1, k1_seq_2(C)) | v2_clvect_3(B, A)) ) ) ) ) ) ) ) ).
fof(t29_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  ( (? [D] :  (v7_ordinal1(D) &  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(D, E) => r1_xxreal_0(C, k11_csspace(A, k1_normsp_0(A, B, E)))) ) ) ) )  &  (v1_clvect_2(B, A) & k1_clvect_2(A, B)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ).
fof(t30_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ~ ( ( (! [C] :  (v7_ordinal1(C) =>  ~ (k1_normsp_0(A, B, C)=k4_struct_0(A)) ) )  &  ( (? [C] :  (v7_ordinal1(C) &  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(C, D) => r1_xxreal_0(1, k7_xcmplx_0(k11_csspace(A, k1_normsp_0(A, B, k1_nat_1(D, 1))), k11_csspace(A, k1_normsp_0(A, B, D))))) ) ) ) )  & v1_clvect_3(B, A)) ) ) ) ) ) ) ).
fof(t31_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( ( (! [D] :  (v7_ordinal1(D) =>  ~ (k1_normsp_0(A, B, D)=k4_struct_0(A)) ) )  &  ( (! [D] :  (v7_ordinal1(D) => k8_nat_1(k1_numbers, C, D)=k7_xcmplx_0(k11_csspace(A, k1_normsp_0(A, B, k1_nat_1(D, 1))), k11_csspace(A, k1_normsp_0(A, B, D)))) )  &  (v2_comseq_2(C) &  ( ~ (r1_xxreal_0(k1_seq_2(C), 1))  & v1_clvect_3(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( ( (! [D] :  (v7_ordinal1(D) => k8_nat_1(k1_numbers, C, D)=k1_power(D, k11_csspace(A, k1_normsp_0(A, B, D)))) )  & v2_comseq_2(C))  =>  (r1_xxreal_0(1, k1_seq_2(C)) | v2_clvect_3(B, A)) ) ) ) ) ) ) ) ).
fof(t33_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( ( (! [D] :  (v7_ordinal1(D) => k8_nat_1(k1_numbers, C, D)=k1_power(D, k8_nat_1(k1_numbers, k2_clvect_2(A, B), D))) )  &  ( (? [D] :  (v7_ordinal1(D) &  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(D, E) => r1_xxreal_0(1, k8_nat_1(k1_numbers, C, E))) ) ) ) )  & v1_clvect_3(B, A)) ) ) ) ) ) ) ) ) ).
fof(t34_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( ( (! [D] :  (v7_ordinal1(D) => k8_nat_1(k1_numbers, C, D)=k1_power(D, k8_nat_1(k1_numbers, k2_clvect_2(A, B), D))) )  &  (v2_comseq_2(C) &  ( ~ (r1_xxreal_0(k1_seq_2(C), 1))  & v1_clvect_3(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(t35_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => v7_valued_0(k3_series_1(k2_clvect_2(A, B)))) ) ) ) ).
fof(t36_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k5_numbers, k8_nat_1(k1_numbers, k3_series_1(k2_clvect_2(A, B)), C))) ) ) ) ) ) ).
fof(t37_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k11_csspace(A, k1_normsp_0(A, k1_bhsp_4(A, B), C)), k8_nat_1(k1_numbers, k3_series_1(k2_clvect_2(A, B)), C))) ) ) ) ) ) ).
fof(t38_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k11_csspace(A, k2_clvect_3(A, B, C)), k6_series_1(k2_clvect_2(A, B), C))) ) ) ) ) ) ).
fof(t39_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k11_csspace(A, k5_algstr_0(A, k1_normsp_0(A, k1_bhsp_4(A, B), D), k1_normsp_0(A, k1_bhsp_4(A, B), C))), k9_complex1(k5_real_1(k8_nat_1(k1_numbers, k3_series_1(k2_clvect_2(A, B)), D), k8_nat_1(k1_numbers, k3_series_1(k2_clvect_2(A, B)), C))))) ) ) ) ) ) ) ) ).
fof(t40_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k11_csspace(A, k5_algstr_0(A, k2_clvect_3(A, B, D), k2_clvect_3(A, B, C))), k9_complex1(k6_xcmplx_0(k6_series_1(k2_clvect_2(A, B), D), k6_series_1(k2_clvect_2(A, B), C))))) ) ) ) ) ) ) ) ).
fof(t41_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k11_csspace(A, k3_clvect_3(A, B, D, C)), k9_complex1(k7_series_1(k2_clvect_2(A, B), D, C)))) ) ) ) ) ) ) ) ).
fof(t42_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) &  (v4_clvect_2(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v2_clvect_3(B, A) => v1_clvect_3(B, A)) ) ) ) ) ).
fof(d8_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (D=k6_clvect_3(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) => k1_normsp_0(A, D, E)=k1_clvect_1(A, k1_normsp_0(A, B, E), k8_nat_1(k2_numbers, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k2_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => k6_clvect_3(A, k14_csspace(A, B, C), D)=k14_csspace(A, k6_clvect_3(A, B, D), k6_clvect_3(A, C, D))) ) ) ) ) ) ) ) ).
fof(t44_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k2_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => k6_clvect_3(A, B, k1_series_1(k2_numbers, C, D))=k14_csspace(A, k6_clvect_3(A, B, C), k6_clvect_3(A, B, D))) ) ) ) ) ) ) ) ).
fof(t45_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k2_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => k6_clvect_3(A, B, k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, C, D))=k6_clvect_3(A, k6_clvect_3(A, B, D), C)) ) ) ) ) ) ) ) ).
fof(t46_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [D] :  (v1_xcmplx_0(D) => k6_clvect_3(A, B, k25_valued_1(k4_ordinal1, k2_numbers, C, D))=k6_clvect_1(A, k6_clvect_3(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t47_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => k6_clvect_3(A, k5_vfunct_1(k4_ordinal1, A, B), C)=k6_clvect_3(A, B, k31_valued_1(k4_ordinal1, k2_numbers, C))) ) ) ) ) ) ).
fof(t48_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (v2_comseq_2(C) & v1_clvect_2(B, A))  => v1_clvect_2(k6_clvect_3(A, B, C), A)) ) ) ) ) ) ) ).
fof(t49_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (v1_comseq_2(C) & v3_clvect_2(B, A))  => v3_clvect_2(k6_clvect_3(A, B, C), A)) ) ) ) ) ) ) ).
fof(t50_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (v2_comseq_2(C) & v1_clvect_2(B, A))  =>  (v1_clvect_2(k6_clvect_3(A, B, C), A) & k1_clvect_2(A, k6_clvect_3(A, B, C))=k1_clvect_1(A, k1_clvect_2(A, B), k3_comseq_2(C))) ) ) ) ) ) ) ) ).
fof(d9_clvect_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v3_clvect_3(A) <=>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  (! [C] :  (v7_ordinal1(C) =>  (? [D] :  (v7_ordinal1(D) &  (? [E] :  (v7_ordinal1(E) &  (r1_xxreal_0(C, D) &  (r1_xxreal_0(C, E) & r1_xxreal_0(B, k9_complex1(k6_xcmplx_0(k8_nat_1(k2_numbers, A, D), k8_nat_1(k2_numbers, A, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_clvect_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v2_csspace(B) &  (v4_clvect_2(B) & l1_csspace(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  ( (v2_clvect_2(C, B) & v3_clvect_3(A))  => v2_clvect_2(k6_clvect_3(B, C, A), B)) ) ) ) ) ) ) ).
fof(t52_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [D] :  (v7_ordinal1(D) => k1_normsp_0(A, k1_bhsp_4(A, k6_clvect_3(A, k1_bhsp_4(A, B), k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, C, k1_valued_0(k2_numbers, C, 1)))), D)=k5_algstr_0(A, k1_normsp_0(A, k1_bhsp_4(A, k6_clvect_3(A, B, C)), k1_nat_1(D, 1)), k1_normsp_0(A, k6_clvect_3(A, k1_bhsp_4(A, B), C), k1_nat_1(D, 1)))) ) ) ) ) ) ) ) ).
fof(t53_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [D] :  (v7_ordinal1(D) => k1_normsp_0(A, k1_bhsp_4(A, k6_clvect_3(A, B, C)), k1_nat_1(D, 1))=k5_algstr_0(A, k1_normsp_0(A, k6_clvect_3(A, k1_bhsp_4(A, B), C), k1_nat_1(D, 1)), k1_normsp_0(A, k1_bhsp_4(A, k6_clvect_3(A, k1_bhsp_4(A, B), k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k1_valued_0(k2_numbers, C, 1), C))), D))) ) ) ) ) ) ) ) ).
fof(t54_clvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [D] :  (v7_ordinal1(D) => k2_clvect_3(A, k6_clvect_3(A, B, C), k1_nat_1(D, 1))=k5_algstr_0(A, k1_normsp_0(A, k6_clvect_3(A, k1_bhsp_4(A, B), C), k1_nat_1(D, 1)), k2_clvect_3(A, k6_clvect_3(A, k1_bhsp_4(A, B), k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k1_valued_0(k2_numbers, C, 1), C)), D))) ) ) ) ) ) ) ) ).
fof(dt_k1_clvect_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => m1_subset_1(k1_clvect_3(A, B), u1_struct_0(A))) ) ).
fof(dt_k2_clvect_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  & v7_ordinal1(C)) )  => m1_subset_1(k2_clvect_3(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k3_clvect_3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  &  (v7_ordinal1(C) & v7_ordinal1(D)) ) )  => m1_subset_1(k3_clvect_3(A, B, C, D), u1_struct_0(A))) ) ).
fof(dt_k4_clvect_3, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  & v7_ordinal1(B))  => v1_xcmplx_0(k4_clvect_3(A, B))) ) ).
fof(dt_k5_clvect_3, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  &  (v7_ordinal1(B) & v7_ordinal1(C)) )  => v1_xcmplx_0(k5_clvect_3(A, B, C))) ) ).
fof(dt_k6_clvect_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) ) )  =>  (v1_funct_1(k6_clvect_3(A, B, C)) &  (v1_funct_2(k6_clvect_3(A, B, C), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k6_clvect_3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(rc1_coh_sp, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) ) ) ).
fof(fc1_coh_sp, axiom,  (! [A] :  ~ (v1_xboole_0(k3_coh_sp(A))) ) ).
fof(cc1_coh_sp, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k3_coh_sp(A)) =>  ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) ) ) ) ) ).
fof(fc2_coh_sp, axiom,  (! [A] :  (v4_funct_1(k4_coh_sp(A)) &  ~ (v1_xboole_0(k4_coh_sp(A))) ) ) ).
fof(fc3_coh_sp, axiom,  (! [A] :  ~ (v1_xboole_0(k5_coh_sp(A))) ) ).
fof(fc4_coh_sp, axiom,  (! [A, B] :  (m1_subset_1(B, k5_coh_sp(A)) =>  (v1_relat_1(k2_xtuple_0(B)) & v1_funct_1(k2_xtuple_0(B))) ) ) ).
fof(fc5_coh_sp, axiom,  (! [A] :  ( ~ (v2_struct_0(k13_coh_sp(A)))  &  ( ~ (v11_struct_0(k13_coh_sp(A)))  &  (v1_cat_1(k13_coh_sp(A)) &  (v2_cat_1(k13_coh_sp(A)) &  (v3_cat_1(k13_coh_sp(A)) &  (v4_cat_1(k13_coh_sp(A)) & v5_cat_1(k13_coh_sp(A))) ) ) ) ) ) ) ).
fof(fc6_coh_sp, axiom,  (! [A] :  ( ~ (v2_struct_0(k13_coh_sp(A)))  &  ( ~ (v11_struct_0(k13_coh_sp(A)))  &  (v1_cat_1(k13_coh_sp(A)) & v6_cat_1(k13_coh_sp(A))) ) ) ) ).
fof(fc7_coh_sp, axiom,  (! [A] :  ~ (v1_xboole_0(k14_coh_sp(A))) ) ).
fof(fc8_coh_sp, axiom,  (! [A] :  ~ (v1_xboole_0(k15_coh_sp(A))) ) ).
fof(fc9_coh_sp, axiom,  (! [A] :  ~ (v1_xboole_0(k16_coh_sp(A))) ) ).
fof(fc10_coh_sp, axiom,  (! [A] :  (v4_funct_1(k19_coh_sp(A)) &  ~ (v1_xboole_0(k19_coh_sp(A))) ) ) ).
fof(fc11_coh_sp, axiom,  (! [A] :  ~ (v1_xboole_0(k20_coh_sp(A))) ) ).
fof(fc12_coh_sp, axiom,  (! [A, B] :  (m1_subset_1(B, k20_coh_sp(A)) =>  (v1_relat_1(k2_xtuple_0(B)) & v1_funct_1(k2_xtuple_0(B))) ) ) ).
fof(fc13_coh_sp, axiom,  (! [A] :  ( ~ (v2_struct_0(k28_coh_sp(A)))  &  ( ~ (v11_struct_0(k28_coh_sp(A)))  &  (v1_cat_1(k28_coh_sp(A)) &  (v2_cat_1(k28_coh_sp(A)) &  (v3_cat_1(k28_coh_sp(A)) &  (v4_cat_1(k28_coh_sp(A)) & v5_cat_1(k28_coh_sp(A))) ) ) ) ) ) ) ).
fof(fc14_coh_sp, axiom,  (! [A] :  ( ~ (v2_struct_0(k28_coh_sp(A)))  &  ( ~ (v11_struct_0(k28_coh_sp(A)))  &  (v1_cat_1(k28_coh_sp(A)) & v6_cat_1(k28_coh_sp(A))) ) ) ) ).
fof(d1_coh_sp, axiom,  (! [A] :  (v1_coh_sp(A) <=>  (! [B] :  ( (r1_tarski(B, A) &  (! [C] :  (! [D] :  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k2_xboole_0(C, D), A)) ) ) )  => r2_tarski(k3_tarski(B), A)) ) ) ) ).
fof(t1_coh_sp, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  => r2_tarski(k1_xboole_0, A)) ) ).
fof(t2_coh_sp, axiom,  (! [A] :  ( ~ (v1_xboole_0(k9_setfam_1(A)))  &  (v1_classes1(k9_setfam_1(A)) & v1_coh_sp(k9_setfam_1(A))) ) ) ).
fof(t3_coh_sp, axiom,  ( ~ (v1_xboole_0(k1_tarski(k1_xboole_0)))  &  (v1_classes1(k1_tarski(k1_xboole_0)) & v1_coh_sp(k1_tarski(k1_xboole_0))) ) ).
fof(t4_coh_sp, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (r2_tarski(A, k3_tarski(B)) => r2_tarski(k1_tarski(A), B)) ) ) ) ).
fof(d2_coh_sp, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( (v1_partfun1(B, k3_tarski(A)) &  (v1_relat_2(B) &  (v3_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k3_tarski(A), k3_tarski(A))))) ) )  =>  (B=k1_coh_sp(A) <=>  (! [C] :  (! [D] :  (r2_hidden(k4_tarski(C, D), B) <=>  (? [E] :  (r2_tarski(E, A) &  (r2_hidden(C, E) & r2_hidden(D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_coh_sp, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( (v1_partfun1(B, k3_tarski(A)) &  (v1_relat_2(B) &  (v3_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k3_tarski(A), k3_tarski(A))))) ) )  =>  (r2_relset_1(k3_tarski(A), k3_tarski(A), B, k1_coh_sp(A)) <=>  (! [C] :  (! [D] :  (r2_hidden(k4_tarski(C, D), B) <=> r2_tarski(k2_tarski(C, D), A)) ) ) ) ) ) ) ) ).
fof(t6_coh_sp, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (r2_tarski(A, B) <=>  (! [C] :  (! [D] :  ( (r2_tarski(C, A) & r2_tarski(D, A))  => r2_tarski(k2_tarski(C, D), B)) ) ) ) ) ) ) ).
fof(t7_coh_sp, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (r2_tarski(A, B) <=>  (! [C] :  (! [D] :  ( (r2_tarski(C, A) & r2_tarski(D, A))  => r2_hidden(k4_tarski(C, D), k1_coh_sp(B))) ) ) ) ) ) ) ).
fof(t8_coh_sp, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  ( (! [C] :  (! [D] :  ( (r2_tarski(C, A) & r2_tarski(D, A))  => r2_tarski(k2_tarski(C, D), B)) ) )  => r1_tarski(A, k3_tarski(B))) ) ) ) ).
fof(t9_coh_sp, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (k1_coh_sp(A)=k1_coh_sp(B) => A=B) ) ) ) ) ).
fof(t10_coh_sp, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (r2_tarski(k3_tarski(A), A) => A=k9_setfam_1(k3_tarski(A))) ) ) ).
fof(t11_coh_sp, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (A=k9_setfam_1(k3_tarski(A)) => r2_relset_1(k3_tarski(A), k3_tarski(A), k1_coh_sp(A), k1_eqrel_1(k3_tarski(A)))) ) ) ).
fof(d3_coh_sp, axiom,  (! [A] :  (! [B] :  ( (v1_partfun1(B, A) &  (v1_relat_2(B) &  (v3_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_classes1(C) & v1_coh_sp(C)) )  =>  (C=k2_coh_sp(A, B) <=>  (! [D] :  (r2_tarski(D, C) <=>  (! [E] :  (! [F] :  ( (r2_tarski(E, D) & r2_tarski(F, D))  => r2_hidden(k4_tarski(E, F), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_coh_sp, axiom,  (! [A] :  (! [B] :  ( (v1_partfun1(B, A) &  (v1_relat_2(B) &  (v3_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  => k1_coh_sp(k2_coh_sp(A, B))=B) ) ) ).
fof(t13_coh_sp, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  => k2_coh_sp(k3_tarski(A), k1_coh_sp(A))=A) ) ).
fof(t14_coh_sp, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_partfun1(C, B) &  (v1_relat_2(C) &  (v3_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  =>  (r2_tarski(A, k2_coh_sp(B, C)) <=> m1_toler_1(A, B, C)) ) ) ) ) ).
fof(t15_coh_sp, axiom,  (! [A] :  (! [B] :  ( (v1_partfun1(B, A) &  (v1_relat_2(B) &  (v3_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  => k2_coh_sp(A, B)=k3_toler_1(A, B)) ) ) ).
fof(t16_coh_sp, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k3_coh_sp(C)) =>  (r2_tarski(k2_tarski(A, B), D) =>  (r2_tarski(A, k3_tarski(D)) & r2_tarski(B, k3_tarski(D))) ) ) ) ) ) ) ).
fof(t17_coh_sp, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, k4_coh_sp(B)) <=>  (? [C] :  (m1_subset_1(C, k3_coh_sp(B)) &  (? [D] :  (m1_subset_1(D, k3_coh_sp(B)) &  ( (k3_tarski(D)=k1_xboole_0 => k3_tarski(C)=k1_xboole_0)  &  (v1_funct_1(A) &  (v1_funct_2(A, k3_tarski(C), k3_tarski(D)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k3_tarski(C), k3_tarski(D))))) ) ) ) ) ) ) ) ) ) ).
fof(t18_coh_sp, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k5_coh_sp(A)) =>  (? [C] :  (m1_subset_1(C, k4_coh_sp(A)) &  (? [D] :  (m1_subset_1(D, k3_coh_sp(A)) &  (? [E] :  (m1_subset_1(E, k3_coh_sp(A)) &  (B=k4_tarski(k4_tarski(D, E), C) &  ( (k3_tarski(E)=k1_xboole_0 => k3_tarski(D)=k1_xboole_0)  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k3_tarski(D), k3_tarski(E)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k3_tarski(D), k3_tarski(E))))) )  &  (! [F] :  (! [G] :  (r2_tarski(k2_tarski(F, G), D) => r2_tarski(k2_tarski(k1_funct_1(C, F), k1_funct_1(C, G)), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_coh_sp, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k3_coh_sp(A)) =>  (! [C] :  (m1_subset_1(C, k3_coh_sp(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k3_tarski(B), k3_tarski(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k3_tarski(B), k3_tarski(C))))) )  =>  ( (! [E] :  (! [F] :  (r2_tarski(k2_tarski(E, F), B) => r2_tarski(k2_tarski(k1_funct_1(D, E), k1_funct_1(D, F)), C)) ) )  =>  ( (k3_tarski(C)=k1_xboole_0 &  ~ (k3_tarski(B)=k1_xboole_0) )  | r2_hidden(k4_tarski(k4_tarski(B, C), D), k5_coh_sp(A))) ) ) ) ) ) ) ) ) ).
fof(d7_coh_sp, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k5_coh_sp(A)) => k6_coh_sp(A, B)=k1_xfamily(k1_xfamily(B))) ) ) ).
fof(d8_coh_sp, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k5_coh_sp(A)) => k7_coh_sp(A, B)=k2_xfamily(k1_xfamily(B))) ) ) ).
fof(t20_coh_sp, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k5_coh_sp(A)) => B=k4_tarski(k4_tarski(k6_coh_sp(A, B), k7_coh_sp(A, B)), k2_xfamily(B))) ) ) ).
fof(d9_coh_sp, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k3_coh_sp(A)) => k8_coh_sp(A, B)=k4_tarski(k4_tarski(B, B), k6_partfun1(k3_tarski(B)))) ) ) ).
fof(t21_coh_sp, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k5_coh_sp(A)) =>  ( ~ ( (k3_tarski(k7_coh_sp(A, B))=k1_xboole_0 &  ~ (k3_tarski(k6_coh_sp(A, B))=k1_xboole_0) ) )  &  ( (v1_funct_1(k2_xfamily(B)) &  (v1_funct_2(k2_xfamily(B), k3_tarski(k6_coh_sp(A, B)), k3_tarski(k7_coh_sp(A, B))) & m1_subset_1(k2_xfamily(B), k1_zfmisc_1(k2_zfmisc_1(k3_tarski(k6_coh_sp(A, B)), k3_tarski(k7_coh_sp(A, B)))))) )  &  (! [C] :  (! [D] :  (r2_tarski(k2_tarski(C, D), k6_coh_sp(A, B)) => r2_tarski(k2_tarski(k1_funct_1(k2_xfamily(B), C), k1_funct_1(k2_xfamily(B), D)), k7_coh_sp(A, B))) ) ) ) ) ) ) ) ).
fof(d10_coh_sp, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k5_coh_sp(A)) =>  (! [C] :  (m1_subset_1(C, k5_coh_sp(A)) =>  (k7_coh_sp(A, B)=k6_coh_sp(A, C) => k9_coh_sp(A, B, C)=k4_tarski(k4_tarski(k6_coh_sp(A, B), k7_coh_sp(A, C)), k3_relat_1(k2_xfamily(B), k2_xfamily(C)))) ) ) ) ) ) ).
fof(t22_coh_sp, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k5_coh_sp(A)) =>  (! [C] :  (m1_subset_1(C, k5_coh_sp(A)) =>  (k6_coh_sp(A, C)=k7_coh_sp(A, B) =>  (k2_xfamily(k9_coh_sp(A, B, C))=k3_relat_1(k2_xfamily(B), k2_xfamily(C)) &  (k6_coh_sp(A, k9_coh_sp(A, B, C))=k6_coh_sp(A, B) & k7_coh_sp(A, k9_coh_sp(A, B, C))=k7_coh_sp(A, C)) ) ) ) ) ) ) ) ).
fof(t23_coh_sp, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k5_coh_sp(A)) =>  (! [C] :  (m1_subset_1(C, k5_coh_sp(A)) =>  (! [D] :  (m1_subset_1(D, k5_coh_sp(A)) =>  ( (k6_coh_sp(A, C)=k7_coh_sp(A, B) & k6_coh_sp(A, D)=k7_coh_sp(A, C))  => k9_coh_sp(A, k9_coh_sp(A, B, C), D)=k9_coh_sp(A, B, k9_coh_sp(A, C, D))) ) ) ) ) ) ) ) ).
fof(t24_coh_sp, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k3_coh_sp(A)) =>  (k2_xfamily(k8_coh_sp(A, B))=k6_partfun1(k3_tarski(B)) &  (k6_coh_sp(A, k8_coh_sp(A, B))=B & k7_coh_sp(A, k8_coh_sp(A, B))=B) ) ) ) ) ).
fof(t25_coh_sp, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k5_coh_sp(A)) =>  (k9_coh_sp(A, k8_coh_sp(A, k6_coh_sp(A, B)), B)=B & k9_coh_sp(A, B, k8_coh_sp(A, k7_coh_sp(A, B)))=B) ) ) ) ).
fof(d11_coh_sp, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k5_coh_sp(A), k3_coh_sp(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k5_coh_sp(A), k3_coh_sp(A))))) )  =>  (B=k10_coh_sp(A) <=>  (! [C] :  (m1_subset_1(C, k5_coh_sp(A)) => k3_funct_2(k5_coh_sp(A), k3_coh_sp(A), B, C)=k6_coh_sp(A, C)) ) ) ) ) ) ).
fof(d12_coh_sp, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k5_coh_sp(A), k3_coh_sp(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k5_coh_sp(A), k3_coh_sp(A))))) )  =>  (B=k11_coh_sp(A) <=>  (! [C] :  (m1_subset_1(C, k5_coh_sp(A)) => k3_funct_2(k5_coh_sp(A), k3_coh_sp(A), B, C)=k7_coh_sp(A, C)) ) ) ) ) ) ).
fof(d13_coh_sp, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k5_coh_sp(A), k5_coh_sp(A)), k5_coh_sp(A)))))  =>  (B=k12_coh_sp(A) <=>  ( (! [C] :  (m1_subset_1(C, k5_coh_sp(A)) =>  (! [D] :  (m1_subset_1(D, k5_coh_sp(A)) =>  (r2_hidden(k4_tarski(C, D), k1_relset_1(k2_zfmisc_1(k5_coh_sp(A), k5_coh_sp(A)), B)) <=> k6_coh_sp(A, C)=k7_coh_sp(A, D)) ) ) ) )  &  (! [C] :  (m1_subset_1(C, k5_coh_sp(A)) =>  (! [D] :  (m1_subset_1(D, k5_coh_sp(A)) =>  (k6_coh_sp(A, C)=k7_coh_sp(A, D) => k1_funct_1(B, k4_tarski(C, D))=k9_coh_sp(A, D, C)) ) ) ) ) ) ) ) ) ) ).
fof(d15_coh_sp, axiom,  (! [A] : k13_coh_sp(A)=g1_cat_1(k3_coh_sp(A), k5_coh_sp(A), k10_coh_sp(A), k11_coh_sp(A), k12_coh_sp(A))) ).
fof(d16_coh_sp, axiom,  (! [A] :  (! [B] :  (B=k14_coh_sp(A) <=>  (! [C] :  (r2_tarski(C, B) <=>  (v1_partfun1(C, A) &  (v1_relat_2(C) &  (v3_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ) ) ) ).
fof(t27_coh_sp, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, k15_coh_sp(B)) <=>  (? [C] :  (r1_tarski(C, B) &  (v1_partfun1(A, C) &  (v1_relat_2(A) &  (v3_relat_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(C, C)))) ) ) ) ) ) ) ) ).
fof(t28_coh_sp, axiom,  (! [A] : r2_tarski(k1_eqrel_1(A), k14_coh_sp(A))) ).
fof(t29_coh_sp, axiom,  (! [A] : r2_tarski(k1_xboole_0, k15_coh_sp(A))) ).
fof(t30_coh_sp, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) => r2_tarski(k1_eqrel_1(A), k15_coh_sp(B))) ) ) ).
fof(t31_coh_sp, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) => r2_tarski(k6_partfun1(A), k15_coh_sp(B))) ) ) ).
fof(t32_coh_sp, axiom,  (! [A] : r2_tarski(k1_eqrel_1(A), k15_coh_sp(A))) ).
fof(t33_coh_sp, axiom,  (! [A] : r2_tarski(k6_partfun1(A), k15_coh_sp(A))) ).
fof(t34_coh_sp, axiom,  (! [A] : r2_hidden(k4_tarski(k1_xboole_0, k1_xboole_0), k16_coh_sp(A))) ).
fof(t35_coh_sp, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) => r2_hidden(k4_tarski(k6_partfun1(A), A), k16_coh_sp(B))) ) ) ).
fof(t36_coh_sp, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) => r2_hidden(k4_tarski(k1_eqrel_1(A), A), k16_coh_sp(B))) ) ) ).
fof(t37_coh_sp, axiom,  (! [A] : r2_hidden(k4_tarski(k6_partfun1(A), A), k16_coh_sp(A))) ).
fof(t38_coh_sp, axiom,  (! [A] : r2_hidden(k4_tarski(k1_eqrel_1(A), A), k16_coh_sp(A))) ).
fof(t39_coh_sp, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, k19_coh_sp(B)) <=>  (? [C] :  (m1_subset_1(C, k16_coh_sp(B)) &  (? [D] :  (m1_subset_1(D, k16_coh_sp(B)) &  ( (k17_coh_sp(B, D)=k1_xboole_0 => k17_coh_sp(B, C)=k1_xboole_0)  &  (v1_funct_1(A) &  (v1_funct_2(A, k17_coh_sp(B, C), k17_coh_sp(B, D)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k17_coh_sp(B, C), k17_coh_sp(B, D))))) ) ) ) ) ) ) ) ) ) ).
fof(t40_coh_sp, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k20_coh_sp(A)) =>  (? [C] :  (m1_subset_1(C, k19_coh_sp(A)) &  (? [D] :  (m1_subset_1(D, k16_coh_sp(A)) &  (? [E] :  (m1_subset_1(E, k16_coh_sp(A)) &  (B=k4_tarski(k4_tarski(D, E), C) &  ( (k17_coh_sp(A, E)=k1_xboole_0 => k17_coh_sp(A, D)=k1_xboole_0)  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k17_coh_sp(A, D), k17_coh_sp(A, E)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k17_coh_sp(A, D), k17_coh_sp(A, E))))) )  &  (! [F] :  (! [G] :  (r2_hidden(k4_tarski(F, G), k18_coh_sp(A, D)) => r2_hidden(k4_tarski(k1_funct_1(C, F), k1_funct_1(C, G)), k18_coh_sp(A, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_coh_sp, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k16_coh_sp(A)) =>  (! [C] :  (m1_subset_1(C, k16_coh_sp(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k17_coh_sp(A, B), k17_coh_sp(A, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k17_coh_sp(A, B), k17_coh_sp(A, C))))) )  =>  ( (! [E] :  (! [F] :  (r2_hidden(k4_tarski(E, F), k18_coh_sp(A, B)) => r2_hidden(k4_tarski(k1_funct_1(D, E), k1_funct_1(D, F)), k18_coh_sp(A, C))) ) )  =>  ( (k17_coh_sp(A, C)=k1_xboole_0 &  ~ (k17_coh_sp(A, B)=k1_xboole_0) )  | r2_hidden(k4_tarski(k4_tarski(B, C), D), k20_coh_sp(A))) ) ) ) ) ) ) ) ) ).
fof(d21_coh_sp, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k20_coh_sp(A)) => k21_coh_sp(A, B)=k1_xfamily(k1_xfamily(B))) ) ) ).
fof(d22_coh_sp, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k20_coh_sp(A)) => k22_coh_sp(A, B)=k2_xfamily(k1_xfamily(B))) ) ) ).
fof(t42_coh_sp, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k20_coh_sp(A)) => B=k4_tarski(k4_tarski(k21_coh_sp(A, B), k22_coh_sp(A, B)), k2_xfamily(B))) ) ) ).
fof(d23_coh_sp, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k16_coh_sp(A)) => k23_coh_sp(A, B)=k4_tarski(k4_tarski(B, B), k6_partfun1(k17_coh_sp(A, B)))) ) ) ).
fof(t43_coh_sp, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k20_coh_sp(A)) =>  ( ~ ( (k17_coh_sp(A, k22_coh_sp(A, B))=k1_xboole_0 &  ~ (k17_coh_sp(A, k21_coh_sp(A, B))=k1_xboole_0) ) )  &  ( (v1_funct_1(k2_xfamily(B)) &  (v1_funct_2(k2_xfamily(B), k17_coh_sp(A, k21_coh_sp(A, B)), k17_coh_sp(A, k22_coh_sp(A, B))) & m1_subset_1(k2_xfamily(B), k1_zfmisc_1(k2_zfmisc_1(k17_coh_sp(A, k21_coh_sp(A, B)), k17_coh_sp(A, k22_coh_sp(A, B)))))) )  &  (! [C] :  (! [D] :  (r2_hidden(k4_tarski(C, D), k18_coh_sp(A, k21_coh_sp(A, B))) => r2_hidden(k4_tarski(k1_funct_1(k2_xfamily(B), C), k1_funct_1(k2_xfamily(B), D)), k18_coh_sp(A, k22_coh_sp(A, B)))) ) ) ) ) ) ) ) ).
fof(d24_coh_sp, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k20_coh_sp(A)) =>  (! [C] :  (m1_subset_1(C, k20_coh_sp(A)) =>  (k22_coh_sp(A, B)=k21_coh_sp(A, C) => k24_coh_sp(A, B, C)=k4_tarski(k4_tarski(k21_coh_sp(A, B), k22_coh_sp(A, C)), k3_relat_1(k2_xfamily(B), k2_xfamily(C)))) ) ) ) ) ) ).
fof(t44_coh_sp, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k20_coh_sp(A)) =>  (! [C] :  (m1_subset_1(C, k20_coh_sp(A)) =>  (k21_coh_sp(A, C)=k22_coh_sp(A, B) =>  (k2_xfamily(k24_coh_sp(A, B, C))=k3_relat_1(k2_xfamily(B), k2_xfamily(C)) &  (k21_coh_sp(A, k24_coh_sp(A, B, C))=k21_coh_sp(A, B) & k22_coh_sp(A, k24_coh_sp(A, B, C))=k22_coh_sp(A, C)) ) ) ) ) ) ) ) ).
fof(t45_coh_sp, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k20_coh_sp(A)) =>  (! [C] :  (m1_subset_1(C, k20_coh_sp(A)) =>  (! [D] :  (m1_subset_1(D, k20_coh_sp(A)) =>  ( (k21_coh_sp(A, C)=k22_coh_sp(A, B) & k21_coh_sp(A, D)=k22_coh_sp(A, C))  => k24_coh_sp(A, k24_coh_sp(A, B, C), D)=k24_coh_sp(A, B, k24_coh_sp(A, C, D))) ) ) ) ) ) ) ) ).
fof(t46_coh_sp, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k16_coh_sp(A)) =>  (k2_xfamily(k23_coh_sp(A, B))=k6_partfun1(k17_coh_sp(A, B)) &  (k21_coh_sp(A, k23_coh_sp(A, B))=B & k22_coh_sp(A, k23_coh_sp(A, B))=B) ) ) ) ) ).
fof(t47_coh_sp, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k20_coh_sp(A)) =>  (k24_coh_sp(A, k23_coh_sp(A, k21_coh_sp(A, B)), B)=B & k24_coh_sp(A, B, k23_coh_sp(A, k22_coh_sp(A, B)))=B) ) ) ) ).
fof(d25_coh_sp, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k20_coh_sp(A), k16_coh_sp(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k20_coh_sp(A), k16_coh_sp(A))))) )  =>  (B=k25_coh_sp(A) <=>  (! [C] :  (m1_subset_1(C, k20_coh_sp(A)) => k3_funct_2(k20_coh_sp(A), k16_coh_sp(A), B, C)=k21_coh_sp(A, C)) ) ) ) ) ) ).
fof(d26_coh_sp, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k20_coh_sp(A), k16_coh_sp(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k20_coh_sp(A), k16_coh_sp(A))))) )  =>  (B=k26_coh_sp(A) <=>  (! [C] :  (m1_subset_1(C, k20_coh_sp(A)) => k3_funct_2(k20_coh_sp(A), k16_coh_sp(A), B, C)=k22_coh_sp(A, C)) ) ) ) ) ) ).
fof(d27_coh_sp, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k20_coh_sp(A), k20_coh_sp(A)), k20_coh_sp(A)))))  =>  (B=k27_coh_sp(A) <=>  ( (! [C] :  (m1_subset_1(C, k20_coh_sp(A)) =>  (! [D] :  (m1_subset_1(D, k20_coh_sp(A)) =>  (r2_hidden(k4_tarski(C, D), k1_relset_1(k2_zfmisc_1(k20_coh_sp(A), k20_coh_sp(A)), B)) <=> k21_coh_sp(A, C)=k22_coh_sp(A, D)) ) ) ) )  &  (! [C] :  (m1_subset_1(C, k20_coh_sp(A)) =>  (! [D] :  (m1_subset_1(D, k20_coh_sp(A)) =>  (k21_coh_sp(A, C)=k22_coh_sp(A, D) => k1_funct_1(B, k4_tarski(C, D))=k24_coh_sp(A, D, C)) ) ) ) ) ) ) ) ) ) ).
fof(d29_coh_sp, axiom,  (! [A] : k28_coh_sp(A)=g1_cat_1(k16_coh_sp(A), k20_coh_sp(A), k25_coh_sp(A), k26_coh_sp(A), k27_coh_sp(A))) ).
fof(dt_k1_coh_sp, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (v1_partfun1(k1_coh_sp(A), k3_tarski(A)) &  (v1_relat_2(k1_coh_sp(A)) &  (v3_relat_2(k1_coh_sp(A)) & m1_subset_1(k1_coh_sp(A), k1_zfmisc_1(k2_zfmisc_1(k3_tarski(A), k3_tarski(A))))) ) ) ) ) ).
fof(dt_k2_coh_sp, axiom,  (! [A, B] :  ( (v1_partfun1(B, A) &  (v1_relat_2(B) &  (v3_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  ( ~ (v1_xboole_0(k2_coh_sp(A, B)))  &  (v1_classes1(k2_coh_sp(A, B)) & v1_coh_sp(k2_coh_sp(A, B))) ) ) ) ).
fof(dt_k6_coh_sp, axiom,  (! [A, B] :  (m1_subset_1(B, k5_coh_sp(A)) => m1_subset_1(k6_coh_sp(A, B), k3_coh_sp(A))) ) ).
fof(dt_k7_coh_sp, axiom,  (! [A, B] :  (m1_subset_1(B, k5_coh_sp(A)) => m1_subset_1(k7_coh_sp(A, B), k3_coh_sp(A))) ) ).
fof(dt_k8_coh_sp, axiom,  (! [A, B] :  (m1_subset_1(B, k3_coh_sp(A)) => m1_subset_1(k8_coh_sp(A, B), k5_coh_sp(A))) ) ).
fof(dt_k9_coh_sp, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k5_coh_sp(A)) & m1_subset_1(C, k5_coh_sp(A)))  => m1_subset_1(k9_coh_sp(A, B, C), k5_coh_sp(A))) ) ).
fof(dt_k10_coh_sp, axiom,  (! [A] :  (v1_funct_1(k10_coh_sp(A)) &  (v1_funct_2(k10_coh_sp(A), k5_coh_sp(A), k3_coh_sp(A)) & m1_subset_1(k10_coh_sp(A), k1_zfmisc_1(k2_zfmisc_1(k5_coh_sp(A), k3_coh_sp(A))))) ) ) ).
fof(dt_k11_coh_sp, axiom,  (! [A] :  (v1_funct_1(k11_coh_sp(A)) &  (v1_funct_2(k11_coh_sp(A), k5_coh_sp(A), k3_coh_sp(A)) & m1_subset_1(k11_coh_sp(A), k1_zfmisc_1(k2_zfmisc_1(k5_coh_sp(A), k3_coh_sp(A))))) ) ) ).
fof(dt_k12_coh_sp, axiom,  (! [A] :  (v1_funct_1(k12_coh_sp(A)) & m1_subset_1(k12_coh_sp(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k5_coh_sp(A), k5_coh_sp(A)), k5_coh_sp(A))))) ) ).
fof(dt_k13_coh_sp, axiom,  (! [A] :  ( ~ (v2_struct_0(k13_coh_sp(A)))  &  ( ~ (v11_struct_0(k13_coh_sp(A)))  &  (v1_cat_1(k13_coh_sp(A)) & l1_cat_1(k13_coh_sp(A))) ) ) ) ).
fof(dt_k17_coh_sp, axiom,  (! [A, B] :  (m1_subset_1(B, k16_coh_sp(A)) => m1_subset_1(k17_coh_sp(A, B), k1_zfmisc_1(A))) ) ).
fof(redefinition_k17_coh_sp, axiom,  (! [A, B] :  (m1_subset_1(B, k16_coh_sp(A)) => k17_coh_sp(A, B)=k2_xtuple_0(B)) ) ).
fof(dt_k18_coh_sp, axiom,  (! [A, B] :  (m1_subset_1(B, k16_coh_sp(A)) =>  (v1_partfun1(k18_coh_sp(A, B), k2_xfamily(B)) &  (v1_relat_2(k18_coh_sp(A, B)) &  (v3_relat_2(k18_coh_sp(A, B)) & m1_subset_1(k18_coh_sp(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_xfamily(B), k2_xfamily(B))))) ) ) ) ) ).
fof(redefinition_k18_coh_sp, axiom,  (! [A, B] :  (m1_subset_1(B, k16_coh_sp(A)) => k18_coh_sp(A, B)=k1_xtuple_0(B)) ) ).
fof(dt_k21_coh_sp, axiom,  (! [A, B] :  (m1_subset_1(B, k20_coh_sp(A)) => m1_subset_1(k21_coh_sp(A, B), k16_coh_sp(A))) ) ).
fof(dt_k22_coh_sp, axiom,  (! [A, B] :  (m1_subset_1(B, k20_coh_sp(A)) => m1_subset_1(k22_coh_sp(A, B), k16_coh_sp(A))) ) ).
fof(dt_k23_coh_sp, axiom,  (! [A, B] :  (m1_subset_1(B, k16_coh_sp(A)) => m1_subset_1(k23_coh_sp(A, B), k20_coh_sp(A))) ) ).
fof(dt_k24_coh_sp, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k20_coh_sp(A)) & m1_subset_1(C, k20_coh_sp(A)))  => m1_subset_1(k24_coh_sp(A, B, C), k20_coh_sp(A))) ) ).
fof(dt_k25_coh_sp, axiom,  (! [A] :  (v1_funct_1(k25_coh_sp(A)) &  (v1_funct_2(k25_coh_sp(A), k20_coh_sp(A), k16_coh_sp(A)) & m1_subset_1(k25_coh_sp(A), k1_zfmisc_1(k2_zfmisc_1(k20_coh_sp(A), k16_coh_sp(A))))) ) ) ).
fof(dt_k26_coh_sp, axiom,  (! [A] :  (v1_funct_1(k26_coh_sp(A)) &  (v1_funct_2(k26_coh_sp(A), k20_coh_sp(A), k16_coh_sp(A)) & m1_subset_1(k26_coh_sp(A), k1_zfmisc_1(k2_zfmisc_1(k20_coh_sp(A), k16_coh_sp(A))))) ) ) ).
fof(dt_k27_coh_sp, axiom,  (! [A] :  (v1_funct_1(k27_coh_sp(A)) & m1_subset_1(k27_coh_sp(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k20_coh_sp(A), k20_coh_sp(A)), k20_coh_sp(A))))) ) ).
fof(dt_k28_coh_sp, axiom,  (! [A] :  ( ~ (v2_struct_0(k28_coh_sp(A)))  &  ( ~ (v11_struct_0(k28_coh_sp(A)))  &  (v1_cat_1(k28_coh_sp(A)) & l1_cat_1(k28_coh_sp(A))) ) ) ) ).
fof(d4_coh_sp, axiom,  (! [A] : k3_coh_sp(A)=a_1_0_coh_sp(A)) ).
fof(d5_coh_sp, axiom,  (! [A] : k4_coh_sp(A)=k3_tarski(a_1_1_coh_sp(A))) ).
fof(d6_coh_sp, axiom,  (! [A] : k5_coh_sp(A)=a_1_2_coh_sp(A)) ).
fof(d17_coh_sp, axiom,  (! [A] : k15_coh_sp(A)=k3_tarski(a_1_3_coh_sp(A))) ).
fof(d18_coh_sp, axiom,  (! [A] : k16_coh_sp(A)=a_1_4_coh_sp(A)) ).
fof(d19_coh_sp, axiom,  (! [A] : k19_coh_sp(A)=k3_tarski(a_1_5_coh_sp(A))) ).
fof(d20_coh_sp, axiom,  (! [A] : k20_coh_sp(A)=a_1_6_coh_sp(A)) ).
fof(fraenkel_a_1_0_coh_sp, axiom,  (! [A, B] :  (r2_hidden(A, a_1_0_coh_sp(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B))) &  (A=C &  ( ~ (v1_xboole_0(C))  &  (v1_classes1(C) & v1_coh_sp(C)) ) ) ) ) ) ) ).
fof(fraenkel_a_1_1_coh_sp, axiom,  (! [A, B] :  (r2_hidden(A, a_1_1_coh_sp(B)) <=>  (? [C, D] :  ( (m1_subset_1(C, k3_coh_sp(B)) & m1_subset_1(D, k3_coh_sp(B)))  & A=k1_funct_2(k3_tarski(C), k3_tarski(D))) ) ) ) ).
fof(fraenkel_a_1_2_coh_sp, axiom,  (! [A, B] :  (r2_hidden(A, a_1_2_coh_sp(B)) <=>  (? [C, D, E] :  ( (m1_subset_1(C, k3_coh_sp(B)) &  (m1_subset_1(D, k3_coh_sp(B)) & m1_subset_1(E, k4_coh_sp(B))) )  &  (A=k4_tarski(k4_tarski(C, D), E) &  ( (k3_tarski(D)=k1_xboole_0 => k3_tarski(C)=k1_xboole_0)  &  ( (v1_funct_1(E) &  (v1_funct_2(E, k3_tarski(C), k3_tarski(D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_tarski(C), k3_tarski(D))))) )  &  (! [F] :  (! [G] :  (r2_tarski(k2_tarski(F, G), C) => r2_tarski(k2_tarski(k1_funct_1(E, F), k1_funct_1(E, G)), D)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_3_coh_sp, axiom,  (! [A, B] :  (r2_hidden(A, a_1_3_coh_sp(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) & A=k14_coh_sp(C)) ) ) ) ).
fof(fraenkel_a_1_4_coh_sp, axiom,  (! [A, B] :  (r2_hidden(A, a_1_4_coh_sp(B)) <=>  (? [C, D] :  ( (m1_subset_1(C, k15_coh_sp(B)) & m1_subset_1(D, k1_zfmisc_1(B)))  &  (A=k4_tarski(C, D) &  (v1_partfun1(C, D) &  (v1_relat_2(C) &  (v3_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(D, D)))) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_5_coh_sp, axiom,  (! [A, B] :  (r2_hidden(A, a_1_5_coh_sp(B)) <=>  (? [C, D] :  ( (m1_subset_1(C, k16_coh_sp(B)) & m1_subset_1(D, k16_coh_sp(B)))  & A=k1_funct_2(k17_coh_sp(B, C), k17_coh_sp(B, D))) ) ) ) ).
fof(fraenkel_a_1_6_coh_sp, axiom,  (! [A, B] :  (r2_hidden(A, a_1_6_coh_sp(B)) <=>  (? [C, D, E] :  ( (m1_subset_1(C, k16_coh_sp(B)) &  (m1_subset_1(D, k16_coh_sp(B)) & m1_subset_1(E, k19_coh_sp(B))) )  &  (A=k4_tarski(k4_tarski(C, D), E) &  ( (k17_coh_sp(B, D)=k1_xboole_0 => k17_coh_sp(B, C)=k1_xboole_0)  &  ( (v1_funct_1(E) &  (v1_funct_2(E, k17_coh_sp(B, C), k17_coh_sp(B, D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k17_coh_sp(B, C), k17_coh_sp(B, D))))) )  &  (! [F] :  (! [G] :  (r2_hidden(k4_tarski(F, G), k18_coh_sp(B, C)) => r2_hidden(k4_tarski(k1_funct_1(E, F), k1_funct_1(E, G)), k18_coh_sp(B, D))) ) ) ) ) ) ) ) ) ) ).
fof(rc1_cohsp_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v1_classes1(A) & v1_coh_sp(A)) ) ) ) ).
fof(fc1_cohsp_1, axiom,  (v1_classes1(k1_tarski(k1_xboole_0)) & v1_coh_sp(k1_tarski(k1_xboole_0))) ).
fof(fc2_cohsp_1, axiom,  (! [A] :  (v1_classes1(k1_zfmisc_1(A)) & v1_coh_sp(k1_zfmisc_1(A))) ) ).
fof(fc3_cohsp_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(k1_cohsp_1(A)))  &  (v1_classes1(k1_cohsp_1(A)) & v1_coh_sp(k1_cohsp_1(A))) ) ) ).
fof(fc4_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes1(A))  =>  ( ~ (v1_xboole_0(k2_cohsp_1(A)))  & v1_classes1(k2_cohsp_1(A))) ) ) ).
fof(rc2_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (? [B] :  (m1_subset_1(B, A) & v1_finset_1(B)) ) ) ) ).
fof(cc1_cohsp_1, axiom,  (! [A] :  (v1_cohsp_1(A) =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc2_cohsp_1, axiom,  (! [A] :  (v2_cohsp_1(A) =>  ~ (v1_xboole_0(A)) ) ) ).
fof(rc3_cohsp_1, axiom,  (? [A] :  (v1_finset_1(A) &  (v1_cohsp_1(A) & v2_cohsp_1(A)) ) ) ).
fof(rc4_cohsp_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  (v1_finset_1(B) &  (v1_cohsp_1(B) & v2_cohsp_1(B)) ) ) ) ) ) ).
fof(fc5_cohsp_1, axiom,  (! [A] :  (v4_finsub_1(k5_finsub_1(A)) &  (v1_cohsp_1(k5_finsub_1(A)) & v2_cohsp_1(k5_finsub_1(A))) ) ) ).
fof(rc5_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_xboole_0(B))  & v4_finsub_1(B)) ) ) ) ) ).
fof(cc3_cohsp_1, axiom,  (! [A] :  (v1_classes1(A) => v2_finsub_1(A)) ) ).
fof(cc4_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) &  (v1_coh_sp(A) & v3_cohsp_1(A)) ) ) ) ) ).
fof(rc6_cohsp_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v2_finsub_1(A) &  (v1_classes1(A) &  (v1_coh_sp(A) & v3_cohsp_1(A)) ) ) ) ) ).
fof(cc5_cohsp_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_cohsp_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v6_cohsp_1(A)) ) ) ) ).
fof(cc6_cohsp_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v4_cohsp_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v5_cohsp_1(A)) ) ) ) ).
fof(rc7_cohsp_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, A, B) &  (v4_cohsp_1(C) & v7_cohsp_1(C)) ) ) ) ) ) ) ) ) ) ).
fof(rc8_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_cohsp_1(B) & v7_cohsp_1(B)) ) ) ) ) ) ) ) ).
fof(cc7_cohsp_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v8_cohsp_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v5_cohsp_1(A)) ) ) ) ).
fof(cc8_cohsp_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v9_cohsp_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v7_cohsp_1(A) & v8_cohsp_1(A)) ) ) ) ) ).
fof(cc9_cohsp_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v10_cohsp_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v4_cohsp_1(A) & v9_cohsp_1(A)) ) ) ) ) ).
fof(cc10_cohsp_1, axiom,  (! [A] :  (v3_cohsp_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v5_cohsp_1(B)) ) ) )  =>  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v8_cohsp_1(B)) ) ) ) ) ) ) ) ).
fof(cc11_cohsp_1, axiom,  (! [A] :  (v2_finsub_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v7_cohsp_1(B) & v8_cohsp_1(B)) ) ) ) )  =>  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v9_cohsp_1(B)) ) ) ) ) ) ) ) ).
fof(cc12_cohsp_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v4_cohsp_1(A) & v9_cohsp_1(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v10_cohsp_1(A)) ) ) ) ).
fof(rc9_cohsp_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v10_cohsp_1(A)) ) ) ).
fof(rc10_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v10_cohsp_1(B)) ) ) ) ) ) ) ).
fof(rc11_cohsp_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A))) &  (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v5_relat_1(C, A) &  (v1_funct_1(C) &  (v1_funct_2(C, B, A) & v10_cohsp_1(C)) ) ) ) ) ) ) ) ) ).
fof(fc6_cohsp_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v8_cohsp_1(A)) )  => v3_cohsp_1(k9_xtuple_0(A))) ) ).
fof(fc7_cohsp_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v9_cohsp_1(A)) )  => v2_finsub_1(k9_xtuple_0(A))) ) ).
fof(fc8_cohsp_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v1_relat_1(k5_cohsp_1(A))) ) ).
fof(fc9_cohsp_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v1_relat_1(k7_cohsp_1(A))) ) ).
fof(fc10_cohsp_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) ) )  =>  ( ~ (v1_xboole_0(k9_cohsp_1(A, B)))  &  (v1_classes1(k9_cohsp_1(A, B)) & v1_coh_sp(k9_cohsp_1(A, B))) ) ) ) ).
fof(fc11_cohsp_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v1_relat_1(k10_cohsp_1(A))) ) ).
fof(fc12_cohsp_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) ) )  =>  ( ~ (v1_xboole_0(k12_cohsp_1(A, B)))  &  (v1_classes1(k12_cohsp_1(A, B)) & v1_coh_sp(k12_cohsp_1(A, B))) ) ) ) ).
fof(fc13_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  ( ~ (v1_xboole_0(k13_cohsp_1(A)))  &  (v1_classes1(k13_cohsp_1(A)) & v1_coh_sp(k13_cohsp_1(A))) ) ) ) ).
fof(fc14_cohsp_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) ) )  =>  ( ~ (v1_xboole_0(k15_cohsp_1(A, B)))  &  (v1_classes1(k15_cohsp_1(A, B)) & v1_coh_sp(k15_cohsp_1(A, B))) ) ) ) ).
fof(fc15_cohsp_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) ) )  =>  ( ~ (v1_xboole_0(k16_cohsp_1(A, B)))  &  (v1_classes1(k16_cohsp_1(A, B)) & v1_coh_sp(k16_cohsp_1(A, B))) ) ) ) ).
fof(fc16_cohsp_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) ) )  =>  ~ (v1_xboole_0(k17_cohsp_1(A, B))) ) ) ).
fof(fc17_cohsp_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) ) )  =>  (v1_classes1(k17_cohsp_1(A, B)) & v1_coh_sp(k17_cohsp_1(A, B))) ) ) ).
fof(d1_cohsp_1, axiom,  (! [A] :  (v1_coh_sp(A) <=>  (! [B] :  ( (! [C] :  (! [D] :  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k2_xboole_0(C, D), A)) ) )  => r2_tarski(k3_tarski(B), A)) ) ) ) ).
fof(d2_cohsp_1, axiom,  (! [A] : k1_cohsp_1(A)=k2_coh_sp(A, k6_partfun1(A))) ).
fof(d3_cohsp_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (B=k2_cohsp_1(A) <=>  (! [C] :  (r2_tarski(C, B) <=>  (r2_tarski(C, A) & v1_finset_1(C)) ) ) ) ) ) ) ).
fof(t1_cohsp_1, axiom,  (! [A] :  (! [B] :  (r2_tarski(B, k1_cohsp_1(A)) <=>  ~ ( ( ~ (B=k1_xboole_0)  &  (! [C] :  ~ ( (B=k1_tarski(C) & r2_tarski(C, A)) ) ) ) ) ) ) ) ).
fof(t2_cohsp_1, axiom,  (! [A] : k3_tarski(k1_cohsp_1(A))=A) ).
fof(t3_cohsp_1, axiom,  (! [A] :  ( (v1_finset_1(A) & v1_classes1(A))  => k2_cohsp_1(A)=A) ) ).
fof(t4_cohsp_1, axiom, k1_coh_sp(k1_tarski(k1_xboole_0))=k1_xboole_0).
fof(d4_cohsp_1, axiom,  (! [A] :  (v1_cohsp_1(A) <=>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(A)))  =>  (? [C] :  (r1_tarski(k3_tarski(B), C) & r2_tarski(C, A)) ) ) ) ) ) ).
fof(d5_cohsp_1, axiom,  (! [A] :  (v2_cohsp_1(A) <=>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(A)))  =>  (? [C] :  ( (! [D] :  (r2_tarski(D, B) => r1_tarski(C, D)) )  & r2_tarski(C, A)) ) ) ) ) ) ).
fof(t5_cohsp_1, axiom,  (! [A] :  (v1_cohsp_1(A) =>  (! [B] :  (! [C] :  ~ ( (r2_tarski(B, A) &  (r2_tarski(C, A) &  (! [D] :  ~ ( (r1_tarski(k2_xboole_0(B, C), D) & r2_tarski(D, A)) ) ) ) ) ) ) ) ) ) ).
fof(t6_cohsp_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( (! [B] :  (! [C] :  ~ ( (r2_tarski(B, A) &  (r2_tarski(C, A) &  (! [D] :  ~ ( (r1_tarski(k2_xboole_0(B, C), D) & r2_tarski(D, A)) ) ) ) ) ) ) )  => v1_cohsp_1(A)) ) ) ).
fof(t7_cohsp_1, axiom,  (! [A] :  (v2_cohsp_1(A) =>  (! [B] :  (! [C] :  ~ ( (r2_tarski(B, A) &  (r2_tarski(C, A) &  (! [D] :  ~ ( (r1_tarski(D, k3_xboole_0(B, C)) & r2_tarski(D, A)) ) ) ) ) ) ) ) ) ) ).
fof(t8_cohsp_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( (! [B] :  (! [C] :  ~ ( (r2_tarski(B, A) &  (r2_tarski(C, A) &  (! [D] :  ~ ( (r1_tarski(D, k3_xboole_0(B, C)) & r2_tarski(D, A)) ) ) ) ) ) ) )  => v2_cohsp_1(A)) ) ) ).
fof(t9_cohsp_1, axiom,  (! [A] :  (v1_cohsp_1(k1_tarski(A)) & v2_cohsp_1(k1_tarski(A))) ) ).
fof(t10_cohsp_1, axiom,  (! [A] :  (! [B] : v1_cohsp_1(k1_enumset1(A, B, k2_xboole_0(A, B)))) ) ).
fof(t11_cohsp_1, axiom,  (! [A] :  (! [B] : v2_cohsp_1(k1_enumset1(A, B, k3_xboole_0(A, B)))) ) ).
fof(t12_cohsp_1, axiom,  (! [A] :  (v1_cohsp_1(k5_finsub_1(A)) & v2_cohsp_1(k5_finsub_1(A))) ) ).
fof(t13_cohsp_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ~ ( (v1_cohsp_1(A) &  (r1_tarski(B, k3_tarski(A)) &  (v1_finset_1(B) &  (! [C] :  ~ ( (r2_tarski(C, A) & r1_tarski(B, C)) ) ) ) ) ) ) ) ) ) ).
fof(d6_cohsp_1, axiom,  (! [A] :  (v3_cohsp_1(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (v1_cohsp_1(B) => r2_tarski(k3_tarski(B), A)) ) ) ) ) ).
fof(t14_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( (v1_cohsp_1(B) & m1_subset_1(B, k1_zfmisc_1(A)))  => r2_tarski(k3_tarski(B), A)) ) ) ) ).
fof(d7_cohsp_1, axiom,  (! [A] :  (! [B] :  (r1_cohsp_1(A, B) <=>  (! [C] :  (! [D] :  ( (r2_tarski(C, B) & r2_tarski(D, B))  =>  (r2_tarski(k3_xboole_0(C, D), A) & r2_tarski(k2_xboole_0(C, D), A)) ) ) ) ) ) ) ).
fof(t15_cohsp_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (r1_cohsp_1(A, A) =>  (v1_cohsp_1(A) & v2_cohsp_1(A)) ) ) ) ).
fof(d8_cohsp_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_cohsp_1(A, B, C) <=> r1_cohsp_1(A, k2_tarski(B, C))) ) ) ) ).
fof(t16_cohsp_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_cohsp_1(A, B, C) <=>  (r2_tarski(B, A) &  (r2_tarski(C, A) &  (r2_tarski(k3_xboole_0(B, C), A) & r2_tarski(k2_xboole_0(B, C), A)) ) ) ) ) ) ) ).
fof(d9_cohsp_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v4_cohsp_1(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k9_xtuple_0(A))) =>  (r2_tarski(k3_tarski(B), k9_xtuple_0(A)) => k1_funct_1(A, k3_tarski(B))=k3_tarski(k7_relat_1(A, B))) ) ) ) ) ) ).
fof(d10_cohsp_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v5_cohsp_1(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k9_xtuple_0(A))) =>  ( (v1_cohsp_1(B) & r2_tarski(k3_tarski(B), k9_xtuple_0(A)))  => k1_funct_1(A, k3_tarski(B))=k3_tarski(k7_relat_1(A, B))) ) ) ) ) ) ).
fof(d11_cohsp_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v6_cohsp_1(A) <=>  (! [B] :  (! [C] :  ( (r2_tarski(B, k9_xtuple_0(A)) &  (r2_tarski(C, k9_xtuple_0(A)) & r1_tarski(B, C)) )  => r1_tarski(k1_funct_1(A, B), k1_funct_1(A, C))) ) ) ) ) ) ).
fof(d12_cohsp_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v7_cohsp_1(A) <=>  (! [B] :  (! [C] :  (r2_cohsp_1(k9_xtuple_0(A), B, C) => k1_funct_1(A, k3_xboole_0(B, C))=k3_xboole_0(k1_funct_1(A, B), k1_funct_1(A, C))) ) ) ) ) ) ).
fof(t17_cohsp_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v4_cohsp_1(A) =>  (! [B] :  (! [C] :  ( (r2_tarski(B, k9_xtuple_0(A)) &  (r2_tarski(C, k9_xtuple_0(A)) & r2_tarski(k2_xboole_0(B, C), k9_xtuple_0(A))) )  => k1_funct_1(A, k2_xboole_0(B, C))=k2_xboole_0(k1_funct_1(A, B), k1_funct_1(A, C))) ) ) ) ) ) ).
fof(t18_cohsp_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v4_cohsp_1(A) => k1_funct_1(A, k1_xboole_0)=k1_xboole_0) ) ) ).
fof(d13_cohsp_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v8_cohsp_1(A) <=>  (v3_cohsp_1(k9_xtuple_0(A)) & v5_cohsp_1(A)) ) ) ) ).
fof(d14_cohsp_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v9_cohsp_1(A) <=>  (v2_finsub_1(k9_xtuple_0(A)) &  (v8_cohsp_1(A) & v7_cohsp_1(A)) ) ) ) ) ).
fof(d15_cohsp_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v10_cohsp_1(A) <=>  (v9_cohsp_1(A) & v4_cohsp_1(A)) ) ) ) ).
fof(t19_cohsp_1, axiom,  (! [A] : k3_tarski(k5_finsub_1(A))=A) ).
fof(t20_cohsp_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v8_cohsp_1(A)) )  =>  (v1_classes1(k9_xtuple_0(A)) =>  (! [B] :  (r2_tarski(B, k9_xtuple_0(A)) => k1_funct_1(A, B)=k3_tarski(k7_relat_1(A, k5_finsub_1(B)))) ) ) ) ) ).
fof(t21_cohsp_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_classes1(k9_xtuple_0(A)) =>  (v8_cohsp_1(A) <=>  (v3_cohsp_1(k9_xtuple_0(A)) &  (v6_cohsp_1(A) &  (! [B] :  (! [C] :  ~ ( (r2_tarski(B, k9_xtuple_0(A)) &  (r2_tarski(C, k1_funct_1(A, B)) &  (! [D] :  ~ ( (v1_finset_1(D) &  (r1_tarski(D, B) & r2_tarski(C, k1_funct_1(A, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_cohsp_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  ( (v1_classes1(k9_xtuple_0(A)) & v3_cohsp_1(k9_xtuple_0(A)))  =>  (v9_cohsp_1(A) <=>  (v6_cohsp_1(A) &  (! [B] :  (! [C] :  ~ ( (r2_tarski(B, k9_xtuple_0(A)) &  (r2_tarski(C, k1_funct_1(A, B)) &  (! [D] :  ~ ( (v1_finset_1(D) &  (r1_tarski(D, B) &  (r2_tarski(C, k1_funct_1(A, D)) &  (! [E] :  ( (r1_tarski(E, B) & r2_tarski(C, k1_funct_1(A, E)))  => r1_tarski(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_cohsp_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  ( (v1_classes1(k9_xtuple_0(A)) & v3_cohsp_1(k9_xtuple_0(A)))  =>  (v10_cohsp_1(A) <=>  (v6_cohsp_1(A) &  (! [B] :  (! [C] :  ~ ( (r2_tarski(B, k9_xtuple_0(A)) &  (r2_tarski(C, k1_funct_1(A, B)) &  (! [D] :  ~ ( (r2_tarski(D, B) &  (r2_tarski(C, k1_funct_1(A, k1_tarski(D))) &  (! [E] :  ( (r1_tarski(E, B) & r2_tarski(C, k1_funct_1(A, E)))  => r2_tarski(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_cohsp_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (B=k5_cohsp_1(A) <=>  (! [C] :  (r2_tarski(C, B) <=>  (? [D] :  (v1_finset_1(D) &  (? [E] :  (C=k4_tarski(D, E) &  (r2_tarski(D, k9_xtuple_0(A)) & r2_tarski(E, k1_funct_1(A, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_cohsp_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(B, C), k5_cohsp_1(A)) <=>  (v1_finset_1(B) &  (r2_tarski(B, k9_xtuple_0(A)) & r2_tarski(C, k1_funct_1(A, B))) ) ) ) ) ) ) ).
fof(t25_cohsp_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v6_cohsp_1(A)) )  =>  (! [B] :  (! [C] :  ( (r2_tarski(C, k9_xtuple_0(A)) &  (r1_tarski(B, C) & v1_finset_1(C)) )  =>  (! [D] :  (r2_hidden(k4_tarski(B, D), k5_cohsp_1(A)) => r2_hidden(k4_tarski(C, D), k5_cohsp_1(A))) ) ) ) ) ) ) ).
fof(t26_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (! [F] :  ( (r2_hidden(k4_tarski(D, E), k6_cohsp_1(A, B, C)) & r2_hidden(k4_tarski(D, F), k6_cohsp_1(A, B, C)))  => r2_tarski(k2_tarski(E, F), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) &  (v6_cohsp_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(k2_xboole_0(D, E), A) =>  (! [F] :  (! [G] :  ( (r2_hidden(k4_tarski(D, F), k6_cohsp_1(A, B, C)) & r2_hidden(k4_tarski(E, G), k6_cohsp_1(A, B, C)))  => r2_tarski(k2_tarski(F, G), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) &  (v8_cohsp_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) &  (v8_cohsp_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (k6_cohsp_1(A, B, C)=k6_cohsp_1(A, B, D) => r2_funct_2(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t29_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k3_tarski(B)))) =>  ~ ( ( (! [D] :  (r2_tarski(D, C) => v1_finset_1(k1_xfamily(D))) )  &  ( (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, A))  =>  (! [E] :  ( (v1_finset_1(E) & m1_subset_1(E, A))  =>  (r1_tarski(D, E) =>  (! [F] :  (r2_hidden(k4_tarski(D, F), C) => r2_hidden(k4_tarski(E, F), C)) ) ) ) ) ) )  &  ( (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, A))  =>  (! [E] :  (! [F] :  ( (r2_hidden(k4_tarski(D, E), C) & r2_hidden(k4_tarski(D, F), C))  => r2_tarski(k2_tarski(E, F), B)) ) ) ) )  &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) &  (v8_cohsp_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  ~ (C=k6_cohsp_1(A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) &  (v8_cohsp_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (! [D] :  (m1_subset_1(D, A) => k3_funct_2(A, B, C, D)=k7_relat_1(k6_cohsp_1(A, B, C), k3_cohsp_1(A, D))) ) ) ) ) ) ) ) ).
fof(d17_cohsp_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (B=k7_cohsp_1(A) <=>  (! [C] :  (r2_tarski(C, B) <=>  (? [D] :  (? [E] :  (C=k4_tarski(D, E) &  (r2_tarski(D, k9_xtuple_0(A)) &  (r2_tarski(E, k1_funct_1(A, D)) &  (! [F] :  ( (r2_tarski(F, k9_xtuple_0(A)) &  (r1_tarski(F, D) & r2_tarski(E, k1_funct_1(A, F))) )  => D=F) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_cohsp_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(B, C), k7_cohsp_1(A)) <=>  (r2_tarski(B, k9_xtuple_0(A)) &  (r2_hidden(C, k1_funct_1(A, B)) &  (! [D] :  ( (r2_tarski(D, k9_xtuple_0(A)) &  (r1_tarski(D, B) & r2_hidden(C, k1_funct_1(A, D))) )  => B=D) ) ) ) ) ) ) ) ) ).
fof(t32_cohsp_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v8_cohsp_1(A)) )  =>  (v1_classes1(k9_xtuple_0(A)) => r1_tarski(k7_cohsp_1(A), k5_cohsp_1(A))) ) ) ).
fof(t33_cohsp_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v8_cohsp_1(A)) )  =>  (v1_classes1(k9_xtuple_0(A)) =>  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(B, C), k7_cohsp_1(A)) => v1_finset_1(B)) ) ) ) ) ) ).
fof(t34_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) &  (v6_cohsp_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (! [D] :  (! [E] :  (r2_tarski(k2_xboole_0(D, E), A) =>  (! [F] :  (! [G] :  ( (r2_hidden(k4_tarski(D, F), k8_cohsp_1(A, B, C)) & r2_hidden(k4_tarski(E, G), k8_cohsp_1(A, B, C)))  => r2_tarski(k2_tarski(F, G), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) &  (v7_cohsp_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (! [D] :  (! [E] :  (r2_tarski(k2_xboole_0(D, E), A) =>  (! [F] :  ( (r2_hidden(k4_tarski(D, F), k8_cohsp_1(A, B, C)) & r2_hidden(k4_tarski(E, F), k8_cohsp_1(A, B, C)))  => D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) &  (v9_cohsp_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) &  (v9_cohsp_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (r1_tarski(k8_cohsp_1(A, B, C), k8_cohsp_1(A, B, D)) =>  (! [E] :  (m1_subset_1(E, A) => r1_tarski(k3_funct_2(A, B, C, E), k3_funct_2(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) &  (v9_cohsp_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) &  (v9_cohsp_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (k8_cohsp_1(A, B, C)=k8_cohsp_1(A, B, D) => r2_funct_2(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t38_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k3_tarski(B)))) =>  ~ ( ( (! [D] :  (r2_tarski(D, C) => v1_finset_1(k1_xfamily(D))) )  &  ( (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(k2_xboole_0(D, E), A) =>  (! [F] :  (! [G] :  ( (r2_hidden(k4_tarski(D, F), C) & r2_hidden(k4_tarski(E, G), C))  => r2_tarski(k2_tarski(F, G), B)) ) ) ) ) ) ) )  &  ( (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(k2_xboole_0(D, E), A) =>  (! [F] :  ( (r2_hidden(k4_tarski(D, F), C) & r2_hidden(k4_tarski(E, F), C))  => D=E) ) ) ) ) ) )  &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) &  (v9_cohsp_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  ~ (C=k8_cohsp_1(A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) &  (v9_cohsp_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (! [D] :  (m1_subset_1(D, A) => k3_funct_2(A, B, C, D)=k7_relat_1(k8_cohsp_1(A, B, C), k3_cohsp_1(A, D))) ) ) ) ) ) ) ) ).
fof(t40_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) &  (v9_cohsp_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (r2_tarski(E, k3_funct_2(A, B, C, D)) <=>  (? [F] :  (m1_subset_1(F, A) &  (r2_hidden(k4_tarski(F, E), k8_cohsp_1(A, B, C)) & r1_tarski(F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) &  (v9_cohsp_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  & k8_cohsp_1(A, B, C)=k1_xboole_0) ) ) ) ) ) ).
fof(t42_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, A))  =>  (! [D] :  ~ ( (r2_tarski(D, k3_tarski(B)) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) &  (v9_cohsp_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  ~ (k8_cohsp_1(A, B, E)=k1_tarski(k4_tarski(C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) &  (v9_cohsp_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (k8_cohsp_1(A, B, E)=k1_tarski(k4_tarski(C, D)) =>  (! [F] :  (m1_subset_1(F, A) =>  ( (r1_tarski(C, F) => k3_funct_2(A, B, E, F)=k1_tarski(D))  &  ( ~ (r1_tarski(C, F))  => k3_funct_2(A, B, E, F)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) &  (v9_cohsp_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k8_cohsp_1(A, B, C))) =>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) &  (v9_cohsp_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  & k8_cohsp_1(A, B, E)=D) ) ) ) ) ) ) ) ) ) ).
fof(t45_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  ~ ( ( (! [D] :  (! [E] :  ~ ( (r2_tarski(D, C) &  (r2_tarski(E, C) &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, B) &  (v9_cohsp_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  ~ (k2_xboole_0(D, E)=k8_cohsp_1(A, B, F)) ) ) ) ) ) ) )  &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) &  (v9_cohsp_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  ~ (k3_tarski(C)=k8_cohsp_1(A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(d18_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  (C=k9_cohsp_1(A, B) <=>  (! [D] :  (r2_tarski(D, C) <=>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) &  (v9_cohsp_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  & D=k8_cohsp_1(A, B, E)) ) ) ) ) ) ) ) ) ) ).
fof(t46_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) &  (v9_cohsp_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  => r1_tarski(k8_cohsp_1(A, B, C), k2_zfmisc_1(k2_cohsp_1(A), k3_tarski(B)))) ) ) ) ) ) ).
fof(t47_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  => k3_tarski(k9_cohsp_1(A, B))=k2_zfmisc_1(k2_cohsp_1(A), k3_tarski(B))) ) ) ) ).
fof(t48_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, A))  =>  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, A))  =>  (! [E] :  (! [F] :  (r2_hidden(k4_tarski(k4_tarski(C, E), k4_tarski(D, F)), k1_coh_sp(k9_cohsp_1(A, B))) <=>  ( ( ~ (r2_tarski(k2_xboole_0(C, D), A))  &  (r2_tarski(E, k3_tarski(B)) & r2_tarski(F, k3_tarski(B))) )  |  (r2_hidden(k4_tarski(E, F), k1_coh_sp(B)) &  (E=F => C=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) &  (v9_cohsp_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (v10_cohsp_1(C) <=>  (! [D] :  (! [E] :  ~ ( (r2_hidden(k4_tarski(D, E), k8_cohsp_1(A, B, C)) &  (! [F] :  ~ (D=k1_tarski(F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_cohsp_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (B=k10_cohsp_1(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  (? [D] :  (? [E] :  (C=k4_tarski(D, E) & r2_hidden(k4_tarski(k1_tarski(D), E), k7_cohsp_1(A))) ) ) ) ) ) ) ) ) ).
fof(t50_cohsp_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(B, C), k10_cohsp_1(A)) <=> r2_hidden(k4_tarski(k1_tarski(B), C), k7_cohsp_1(A))) ) ) ) ) ).
fof(t51_cohsp_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (k1_funct_1(A, k1_xboole_0)=k1_xboole_0 =>  (! [B] :  (! [C] :  ( (r2_tarski(k1_tarski(B), k9_xtuple_0(A)) & r2_hidden(C, k1_funct_1(A, k1_tarski(B))))  => r2_hidden(k4_tarski(B, C), k10_cohsp_1(A))) ) ) ) ) ) ).
fof(t52_cohsp_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(B, C), k10_cohsp_1(A)) =>  (r2_tarski(k1_tarski(B), k9_xtuple_0(A)) & r2_hidden(C, k1_funct_1(A, k1_tarski(B)))) ) ) ) ) ) ).
fof(d20_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  (C=k12_cohsp_1(A, B) <=>  (! [D] :  (r2_tarski(D, C) <=>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) &  (v10_cohsp_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  & D=k11_cohsp_1(A, B, E)) ) ) ) ) ) ) ) ) ) ).
fof(t53_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) &  (v6_cohsp_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (! [D] :  (! [E] :  (r2_tarski(k2_tarski(D, E), A) =>  (! [F] :  (! [G] :  ( (r2_hidden(k4_tarski(D, F), k11_cohsp_1(A, B, C)) & r2_hidden(k4_tarski(E, G), k11_cohsp_1(A, B, C)))  => r2_tarski(k2_tarski(F, G), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) &  (v7_cohsp_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (! [D] :  (! [E] :  (r2_tarski(k2_tarski(D, E), A) =>  (! [F] :  ( (r2_hidden(k4_tarski(D, F), k11_cohsp_1(A, B, C)) & r2_hidden(k4_tarski(E, F), k11_cohsp_1(A, B, C)))  => D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) &  (v10_cohsp_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) &  (v10_cohsp_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (k11_cohsp_1(A, B, C)=k11_cohsp_1(A, B, D) => r2_funct_2(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t56_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k3_tarski(A), k3_tarski(B)))) =>  ~ ( ( (! [D] :  (! [E] :  (r2_tarski(k2_tarski(D, E), A) =>  (! [F] :  (! [G] :  ( (r2_hidden(k4_tarski(D, F), C) & r2_hidden(k4_tarski(E, G), C))  => r2_tarski(k2_tarski(F, G), B)) ) ) ) ) )  &  ( (! [D] :  (! [E] :  (r2_tarski(k2_tarski(D, E), A) =>  (! [F] :  ( (r2_hidden(k4_tarski(D, F), C) & r2_hidden(k4_tarski(E, F), C))  => D=E) ) ) ) )  &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) &  (v10_cohsp_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  ~ (C=k11_cohsp_1(A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) &  (v10_cohsp_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (! [D] :  (m1_subset_1(D, A) => k3_funct_2(A, B, C, D)=k7_relat_1(k11_cohsp_1(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t58_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) &  (v10_cohsp_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  & k11_cohsp_1(A, B, C)=k1_xboole_0) ) ) ) ) ) ).
fof(t59_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  (! [D] :  ~ ( (r2_tarski(C, k3_tarski(A)) &  (r2_tarski(D, k3_tarski(B)) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) &  (v10_cohsp_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  ~ (k11_cohsp_1(A, B, E)=k1_tarski(k4_tarski(C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  (! [D] :  (r2_tarski(C, k3_tarski(A)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) &  (v10_cohsp_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (k11_cohsp_1(A, B, E)=k1_tarski(k4_tarski(C, D)) =>  (! [F] :  (m1_subset_1(F, A) =>  ( (r2_tarski(C, F) => k3_funct_2(A, B, E, F)=k1_tarski(D))  &  ( ~ (r2_tarski(C, F))  => k3_funct_2(A, B, E, F)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) &  (v10_cohsp_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k11_cohsp_1(A, B, C))) =>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) &  (v10_cohsp_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  & k11_cohsp_1(A, B, E)=D) ) ) ) ) ) ) ) ) ) ).
fof(t62_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  ~ ( ( (! [D] :  (! [E] :  ~ ( (r2_tarski(D, C) &  (r2_tarski(E, C) &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, B) &  (v10_cohsp_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  ~ (k2_xboole_0(D, E)=k11_cohsp_1(A, B, F)) ) ) ) ) ) ) )  &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) &  (v10_cohsp_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  ~ (k3_tarski(C)=k11_cohsp_1(A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t63_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  => k3_tarski(k12_cohsp_1(A, B))=k2_zfmisc_1(k3_tarski(A), k3_tarski(B))) ) ) ) ).
fof(t64_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (r2_hidden(k4_tarski(k4_tarski(C, E), k4_tarski(D, F)), k1_coh_sp(k12_cohsp_1(A, B))) <=>  (r2_tarski(C, k3_tarski(A)) &  (r2_tarski(D, k3_tarski(A)) &  ( ( ~ (r2_hidden(k4_tarski(C, D), k1_coh_sp(A)))  &  (r2_tarski(E, k3_tarski(B)) & r2_tarski(F, k3_tarski(B))) )  |  (r2_hidden(k4_tarski(E, F), k1_coh_sp(B)) &  (E=F => C=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  (r2_tarski(B, k13_cohsp_1(A)) <=>  (r1_tarski(B, k3_tarski(A)) &  (! [C] :  (m1_subset_1(C, A) =>  (? [D] : r1_tarski(k3_xboole_0(B, C), k1_tarski(D))) ) ) ) ) ) ) ) ).
fof(t66_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  => k3_tarski(k13_cohsp_1(A))=k3_tarski(A)) ) ).
fof(t67_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  (! [C] :  ~ ( ( ~ (B=C)  &  (r2_tarski(k2_tarski(B, C), A) & r2_tarski(k2_tarski(B, C), k13_cohsp_1(A))) ) ) ) ) ) ) ).
fof(t68_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  (! [C] :  (r1_tarski(k2_tarski(B, C), k3_tarski(A)) =>  (r2_tarski(k2_tarski(B, C), A) | r2_tarski(k2_tarski(B, C), k13_cohsp_1(A))) ) ) ) ) ) ).
fof(t69_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(B, C), k1_coh_sp(k13_cohsp_1(A))) <=>  (r2_tarski(B, k3_tarski(A)) &  (r2_tarski(C, k3_tarski(A)) &  ~ ( ( ~ (B=C)  & r2_hidden(k4_tarski(B, C), k1_coh_sp(A))) ) ) ) ) ) ) ) ) ).
fof(t70_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  => k13_cohsp_1(k13_cohsp_1(A))=A) ) ).
fof(t71_cohsp_1, axiom, k13_cohsp_1(k1_tarski(k1_xboole_0))=k1_tarski(k1_xboole_0)).
fof(t72_cohsp_1, axiom,  (! [A] :  (k13_cohsp_1(k1_cohsp_1(A))=k1_zfmisc_1(A) & k13_cohsp_1(k1_zfmisc_1(A))=k1_cohsp_1(A)) ) ).
fof(d22_cohsp_1, axiom,  (! [A] :  (! [B] : k14_cohsp_1(A, B)=k3_card_3(k2_card_3(k10_finseq_1(A, B)))) ) ).
fof(t73_cohsp_1, axiom,  (! [A] :  (! [B] : k14_cohsp_1(A, B)=k2_xboole_0(k2_zfmisc_1(A, k1_tarski(1)), k2_zfmisc_1(B, k1_tarski(2)))) ) ).
fof(t74_cohsp_1, axiom,  (! [A] :  (k14_cohsp_1(A, k1_xboole_0)=k2_zfmisc_1(A, k1_tarski(1)) & k14_cohsp_1(k1_xboole_0, A)=k2_zfmisc_1(A, k1_tarski(2))) ) ).
fof(t75_cohsp_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_tarski(C, k14_cohsp_1(A, B)) =>  (C=k4_tarski(k1_xfamily(C), k2_xfamily(C)) &  ( (k2_xfamily(C)=1 & r2_tarski(k1_xfamily(C), A))  |  (k2_xfamily(C)=2 & r2_tarski(k1_xfamily(C), B)) ) ) ) ) ) ) ).
fof(t76_cohsp_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(C, 1), k14_cohsp_1(A, B)) <=> r2_hidden(C, A)) ) ) ) ).
fof(t77_cohsp_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(C, 2), k14_cohsp_1(A, B)) <=> r2_hidden(C, B)) ) ) ) ).
fof(t78_cohsp_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (r1_tarski(k14_cohsp_1(A, B), k14_cohsp_1(C, D)) <=>  (r1_tarski(A, C) & r1_tarski(B, D)) ) ) ) ) ) ).
fof(t79_cohsp_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( (r1_tarski(C, k14_cohsp_1(A, B)) &  (! [D] :  (! [E] :  ~ ( (C=k14_cohsp_1(D, E) &  (r1_tarski(D, A) & r1_tarski(E, B)) ) ) ) ) ) ) ) ) ) ).
fof(t80_cohsp_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (k14_cohsp_1(A, B)=k14_cohsp_1(C, D) <=>  (A=C & B=D) ) ) ) ) ) ).
fof(t81_cohsp_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k2_xboole_0(k14_cohsp_1(A, B), k14_cohsp_1(C, D))=k14_cohsp_1(k2_xboole_0(A, C), k2_xboole_0(B, D))) ) ) ) ).
fof(t82_cohsp_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k3_xboole_0(k14_cohsp_1(A, B), k14_cohsp_1(C, D))=k14_cohsp_1(k3_xboole_0(A, C), k3_xboole_0(B, D))) ) ) ) ).
fof(t83_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  (r2_hidden(C, k15_cohsp_1(A, B)) <=>  (? [D] :  (m1_subset_1(D, A) &  (? [E] :  (m1_subset_1(E, B) & C=k14_cohsp_1(D, E)) ) ) ) ) ) ) ) ) ) ).
fof(t84_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  (! [D] :  (r2_tarski(k14_cohsp_1(C, D), k15_cohsp_1(A, B)) <=>  (r2_tarski(C, A) & r2_tarski(D, B)) ) ) ) ) ) ) ) ).
fof(t85_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  => k3_tarski(k15_cohsp_1(A, B))=k14_cohsp_1(k3_tarski(A), k3_tarski(B))) ) ) ) ).
fof(t86_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  (! [D] :  (r2_tarski(k14_cohsp_1(C, D), k16_cohsp_1(A, B)) <=>  ( (r2_tarski(C, A) & D=k1_xboole_0)  |  (C=k1_xboole_0 & r2_tarski(D, B)) ) ) ) ) ) ) ) ) ).
fof(t87_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  ~ ( (r2_tarski(C, k16_cohsp_1(A, B)) &  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, B) =>  ~ ( (C=k14_cohsp_1(D, E) &  (D=k1_xboole_0 | E=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t88_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  => k3_tarski(k16_cohsp_1(A, B))=k14_cohsp_1(k3_tarski(A), k3_tarski(B))) ) ) ) ).
fof(t89_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  (! [D] :  (r2_hidden(k4_tarski(k4_tarski(C, 1), k4_tarski(D, 1)), k1_coh_sp(k15_cohsp_1(A, B))) <=> r2_hidden(k4_tarski(C, D), k1_coh_sp(A))) ) ) ) ) ) ) ).
fof(t90_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  (! [D] :  (r2_hidden(k4_tarski(k4_tarski(C, 2), k4_tarski(D, 2)), k1_coh_sp(k15_cohsp_1(A, B))) <=> r2_hidden(k4_tarski(C, D), k1_coh_sp(B))) ) ) ) ) ) ) ).
fof(t91_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  (! [D] :  ( (r2_tarski(C, k3_tarski(A)) & r2_tarski(D, k3_tarski(B)))  =>  (r2_hidden(k4_tarski(k4_tarski(C, 1), k4_tarski(D, 2)), k1_coh_sp(k15_cohsp_1(A, B))) & r2_hidden(k4_tarski(k4_tarski(D, 2), k4_tarski(C, 1)), k1_coh_sp(k15_cohsp_1(A, B)))) ) ) ) ) ) ) ) ).
fof(t92_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  (! [D] :  (r2_hidden(k4_tarski(k4_tarski(C, 1), k4_tarski(D, 1)), k1_coh_sp(k16_cohsp_1(A, B))) <=> r2_hidden(k4_tarski(C, D), k1_coh_sp(A))) ) ) ) ) ) ) ).
fof(t93_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  (! [D] :  (r2_hidden(k4_tarski(k4_tarski(C, 2), k4_tarski(D, 2)), k1_coh_sp(k16_cohsp_1(A, B))) <=> r2_hidden(k4_tarski(C, D), k1_coh_sp(B))) ) ) ) ) ) ) ).
fof(t94_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  (! [D] :  ( ~ (r2_hidden(k4_tarski(k4_tarski(C, 1), k4_tarski(D, 2)), k1_coh_sp(k16_cohsp_1(A, B))))  &  ~ (r2_hidden(k4_tarski(k4_tarski(D, 2), k4_tarski(C, 1)), k1_coh_sp(k16_cohsp_1(A, B)))) ) ) ) ) ) ) ) ).
fof(t95_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  => k13_cohsp_1(k15_cohsp_1(A, B))=k16_cohsp_1(k13_cohsp_1(A), k13_cohsp_1(B))) ) ) ) ).
fof(t96_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  (r2_tarski(C, k17_cohsp_1(A, B)) <=>  (? [D] :  (m1_subset_1(D, A) &  (? [E] :  (m1_subset_1(E, B) & r1_tarski(C, k2_zfmisc_1(D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t97_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  (m1_subset_1(C, k17_cohsp_1(A, B)) =>  (r2_tarski(k9_xtuple_0(C), A) &  (r2_tarski(k10_xtuple_0(C), B) & r1_tarski(C, k2_zfmisc_1(k9_xtuple_0(C), k10_xtuple_0(C)))) ) ) ) ) ) ) ) ).
fof(t98_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  => k3_tarski(k17_cohsp_1(A, B))=k2_zfmisc_1(k3_tarski(A), k3_tarski(B))) ) ) ) ).
fof(t99_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (r2_hidden(k4_tarski(k4_tarski(C, E), k4_tarski(D, F)), k1_coh_sp(k17_cohsp_1(A, B))) <=>  (r2_hidden(k4_tarski(C, D), k1_coh_sp(A)) & r2_hidden(k4_tarski(E, F), k1_coh_sp(B))) ) ) ) ) ) ) ) ) ) ).
fof(s1_cohsp_1, axiom,  ( ( (r2_tarski(f1_s1_cohsp_1, f2_s1_cohsp_1) & p1_s1_cohsp_1(f1_s1_cohsp_1))  & v1_finset_1(f1_s1_cohsp_1))  =>  (? [A] :  (r2_tarski(A, f2_s1_cohsp_1) &  (p1_s1_cohsp_1(A) &  (! [B] :  ( (r2_tarski(B, f2_s1_cohsp_1) &  (p1_s1_cohsp_1(B) & r1_tarski(B, A)) )  => B=A) ) ) ) ) ) ).
fof(dt_k2_cohsp_1, axiom,  (! [A] : m1_subset_1(k2_cohsp_1(A), k1_zfmisc_1(A))) ).
fof(dt_k3_cohsp_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes1(A))  & m1_subset_1(B, A))  =>  ( ~ (v1_xboole_0(k3_cohsp_1(A, B)))  &  (v4_finsub_1(k3_cohsp_1(A, B)) & m1_subset_1(k3_cohsp_1(A, B), k1_zfmisc_1(A))) ) ) ) ).
fof(redefinition_k3_cohsp_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes1(A))  & m1_subset_1(B, A))  => k3_cohsp_1(A, B)=k5_finsub_1(B)) ) ).
fof(dt_k4_cohsp_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v3_cohsp_1(A))  &  (v1_cohsp_1(B) & m1_subset_1(B, k1_zfmisc_1(A))) )  => m1_subset_1(k4_cohsp_1(A, B), A)) ) ).
fof(redefinition_k4_cohsp_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v3_cohsp_1(A))  &  (v1_cohsp_1(B) & m1_subset_1(B, k1_zfmisc_1(A))) )  => k4_cohsp_1(A, B)=k3_tarski(B)) ) ).
fof(dt_k6_cohsp_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) )  => m1_subset_1(k6_cohsp_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k3_tarski(B))))) ) ).
fof(redefinition_k6_cohsp_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) )  => k6_cohsp_1(A, B, C)=k5_cohsp_1(C)) ) ).
fof(dt_k8_cohsp_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) )  => m1_subset_1(k8_cohsp_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k3_tarski(B))))) ) ).
fof(redefinition_k8_cohsp_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) )  => k8_cohsp_1(A, B, C)=k7_cohsp_1(C)) ) ).
fof(dt_k11_cohsp_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) )  => m1_subset_1(k11_cohsp_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k3_tarski(A), k3_tarski(B))))) ) ).
fof(redefinition_k11_cohsp_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) )  => k11_cohsp_1(A, B, C)=k10_cohsp_1(C)) ) ).
fof(d21_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  => k13_cohsp_1(A)=a_1_0_cohsp_1(A)) ) ).
fof(d23_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  => k15_cohsp_1(A, B)=a_2_0_cohsp_1(A, B)) ) ) ) ).
fof(d24_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  => k16_cohsp_1(A, B)=k2_xboole_0(a_1_1_cohsp_1(A), a_1_2_cohsp_1(B))) ) ) ) ).
fof(d25_cohsp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) & v1_coh_sp(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  => k17_cohsp_1(A, B)=k3_tarski(a_2_1_cohsp_1(A, B))) ) ) ) ).
fof(fraenkel_a_1_0_cohsp_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (r2_hidden(A, a_1_0_cohsp_1(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_tarski(B))) &  (A=C &  (! [D] :  (m1_subset_1(D, B) =>  (? [E] : r1_tarski(k8_subset_1(k3_tarski(B), C, D), k1_tarski(E))) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_cohsp_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  &  ( ~ (v1_xboole_0(C))  &  (v1_classes1(C) & v1_coh_sp(C)) ) )  =>  (r2_hidden(A, a_2_0_cohsp_1(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, B) & m1_subset_1(E, C))  & A=k14_cohsp_1(D, E)) ) ) ) ) ).
fof(fraenkel_a_1_1_cohsp_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (r2_hidden(A, a_1_1_cohsp_1(B)) <=>  (? [C] :  (m1_subset_1(C, B) & A=k14_cohsp_1(C, k1_xboole_0)) ) ) ) ) ).
fof(fraenkel_a_1_2_cohsp_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  =>  (r2_hidden(A, a_1_2_cohsp_1(B)) <=>  (? [C] :  (m1_subset_1(C, B) & A=k14_cohsp_1(k1_xboole_0, C)) ) ) ) ) ).
fof(fraenkel_a_2_1_cohsp_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_classes1(B) & v1_coh_sp(B)) )  &  ( ~ (v1_xboole_0(C))  &  (v1_classes1(C) & v1_coh_sp(C)) ) )  =>  (r2_hidden(A, a_2_1_cohsp_1(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, B) & m1_subset_1(E, C))  & A=k1_zfmisc_1(k2_zfmisc_1(D, E))) ) ) ) ) ).
fof(rc1_collsp, axiom,  (? [A] :  (l1_collsp(A) & v1_collsp(A)) ) ).
fof(rc2_collsp, axiom,  (? [A] :  (l1_collsp(A) &  ( ~ (v2_struct_0(A))  & v1_collsp(A)) ) ) ).
fof(rc3_collsp, axiom,  (? [A] :  (l1_collsp(A) &  ( ~ (v2_struct_0(A))  &  (v1_collsp(A) &  (v2_collsp(A) & v3_collsp(A)) ) ) ) ) ).
fof(rc4_collsp, axiom,  (? [A] :  (l1_collsp(A) &  ( ~ (v2_struct_0(A))  &  (v1_collsp(A) &  (v2_collsp(A) &  (v3_collsp(A) & v4_collsp(A)) ) ) ) ) ) ).
fof(d1_collsp, axiom,  (! [A] :  (! [B] :  (m1_collsp(B, A) <=> r1_tarski(B, k3_zfmisc_1(A, A, A))) ) ) ).
fof(t1_collsp, axiom,  (! [A] :  ~ ( ( ~ (A=k1_xboole_0)  &  (! [B] :  ( ~ (k1_tarski(B)=A)  &  (! [C] :  (! [D] :  ~ ( ( ~ (C=D)  &  (r2_tarski(C, A) & r2_tarski(D, A)) ) ) ) ) ) ) ) ) ) ).
fof(d2_collsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_collsp(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_collsp(A, B, C, D) <=> r2_tarski(k4_domain_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), B, C, D), u1_collsp(A))) ) ) ) ) ) ) ) ) ).
fof(d3_collsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_collsp(A))  =>  (v2_collsp(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ~ ( ( ~ (B=C)  &  ( ~ (B=D)  &  ~ (C=D) ) ) )  => r2_tarski(k4_domain_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), B, C, D), u1_collsp(A))) ) ) ) ) ) ) ) ) ) ).
fof(d4_collsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_collsp(A))  =>  (v3_collsp(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_tarski(k4_domain_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), B, C, D), u1_collsp(A)) &  (r2_tarski(k4_domain_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), B, C, E), u1_collsp(A)) & r2_tarski(k4_domain_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), B, C, F), u1_collsp(A))) )  =>  (B=C | r2_tarski(k4_domain_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), D, E, F), u1_collsp(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_collsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) & l1_collsp(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ~ ( ( ~ (B=C)  &  ( ~ (B=D)  &  ~ (C=D) ) ) )  => r1_collsp(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t3_collsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) & l1_collsp(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r1_collsp(A, B, C, D) &  (r1_collsp(A, B, C, E) & r1_collsp(A, B, C, F)) )  =>  (B=C | r1_collsp(A, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_collsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) & l1_collsp(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_collsp(A, B, C, D) =>  (r1_collsp(A, C, B, D) & r1_collsp(A, B, D, C)) ) ) ) ) ) ) ) ) ) ).
fof(t5_collsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) & l1_collsp(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_collsp(A, B, C, B)) ) ) ) ) ) ).
fof(t6_collsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) & l1_collsp(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_collsp(A, B, C, D) & r1_collsp(A, B, C, E))  =>  (B=C | r1_collsp(A, B, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_collsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) & l1_collsp(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_collsp(A, B, C, D) => r1_collsp(A, C, B, D)) ) ) ) ) ) ) ) ) ).
fof(t8_collsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) & l1_collsp(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_collsp(A, B, C, D) => r1_collsp(A, C, D, B)) ) ) ) ) ) ) ) ) ).
fof(t9_collsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) & l1_collsp(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r1_collsp(A, B, C, D) &  (r1_collsp(A, B, C, E) & r1_collsp(A, D, E, F)) )  =>  (D=E | r1_collsp(A, B, C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_collsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) & l1_collsp(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(B, k1_collsp(A, B, C)) & r2_tarski(C, k1_collsp(A, B, C))) ) ) ) ) ) ) ).
fof(t11_collsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) & l1_collsp(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_collsp(A, B, C, D) <=> r2_tarski(D, k1_collsp(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(d6_collsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_collsp(A))  =>  (v4_collsp(A) <=>  ~ ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_collsp(A, B, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t12_collsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) & l1_collsp(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_collsp(A, B, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(d7_collsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) & l1_collsp(A)) ) ) )  =>  (! [B] :  (m2_collsp(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  ( ~ (C=D)  & B=k1_collsp(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t13_collsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) & l1_collsp(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (B=C => k1_collsp(A, B, C)=u1_struct_0(A)) ) ) ) ) ) ) ).
fof(t14_collsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) & l1_collsp(A)) ) ) )  =>  (! [B] :  (m2_collsp(B, A) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  ( ~ (C=D)  &  (r2_tarski(C, B) & r2_tarski(D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t15_collsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) & l1_collsp(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  (! [D] :  (m2_collsp(D, A) =>  ~ ( (r2_tarski(B, D) & r2_tarski(C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_collsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) & l1_collsp(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m2_collsp(E, A) =>  ( (r2_tarski(B, E) &  (r2_tarski(C, E) & r2_tarski(D, E)) )  => r1_collsp(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_collsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) & l1_collsp(A)) ) ) )  =>  (! [B] :  (m2_collsp(B, A) =>  (! [C] :  (m2_collsp(C, A) =>  (r1_tarski(B, C) => B=C) ) ) ) ) ) ) ).
fof(t18_collsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) & l1_collsp(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_collsp(D, A) =>  ( (r2_tarski(B, D) & r2_tarski(C, D))  =>  (B=C | r1_tarski(k1_collsp(A, B, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(t19_collsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) & l1_collsp(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_collsp(D, A) =>  ( (r2_tarski(B, D) & r2_tarski(C, D))  =>  (B=C | k1_collsp(A, B, C)=D) ) ) ) ) ) ) ) ) ) ).
fof(t20_collsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) & l1_collsp(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_collsp(D, A) =>  (! [E] :  (m2_collsp(E, A) =>  ( (r2_tarski(B, D) &  (r2_tarski(C, D) &  (r2_tarski(B, E) & r2_tarski(C, E)) ) )  =>  (B=C | D=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_collsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) & l1_collsp(A)) ) ) )  =>  (! [B] :  (m2_collsp(B, A) =>  (! [C] :  (m2_collsp(C, A) =>  ~ ( ( ~ (B=C)  &  ( ~ (r1_xboole_0(B, C))  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ (k3_xboole_0(B, C)=k6_domain_1(u1_struct_0(A), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_collsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) & l1_collsp(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  & k1_collsp(A, B, C)=u1_struct_0(A)) ) ) ) ) ) ) ) ).
fof(existence_m1_collsp, axiom,  (! [A] :  (? [B] : m1_collsp(B, A)) ) ).
fof(abstractness_v1_collsp, axiom,  (! [A] :  (l1_collsp(A) =>  (v1_collsp(A) => A=g1_collsp(u1_struct_0(A), u1_collsp(A))) ) ) ).
fof(dt_l1_collsp, axiom,  (! [A] :  (l1_collsp(A) => l1_struct_0(A)) ) ).
fof(existence_l1_collsp, axiom,  (? [A] : l1_collsp(A)) ).
fof(dt_g1_collsp, axiom,  (! [A, B] :  (m1_collsp(B, A) =>  (v1_collsp(g1_collsp(A, B)) & l1_collsp(g1_collsp(A, B))) ) ) ).
fof(free_g1_collsp, axiom,  (! [A, B] :  (m1_collsp(B, A) =>  (! [C, D] :  (g1_collsp(A, B)=g1_collsp(C, D) =>  (A=C & B=D) ) ) ) ) ).
fof(dt_u1_collsp, axiom,  (! [A] :  (l1_collsp(A) => m1_collsp(u1_collsp(A), u1_struct_0(A))) ) ).
fof(existence_m2_collsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) & l1_collsp(A)) ) ) )  =>  (? [B] : m2_collsp(B, A)) ) ) ).
fof(d5_collsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) & l1_collsp(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_collsp(A, B, C)=a_3_0_collsp(A, B, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_collsp, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_collsp(B) &  (v3_collsp(B) & l1_collsp(B)) ) )  &  (m1_subset_1(C, u1_struct_0(B)) & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_0_collsp(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E & r1_collsp(B, C, D, E)) ) ) ) ) ) ).
fof(rc1_combgras, axiom,  (? [A] :  (l1_incsp_1(A) &  (v1_incsp_1(A) &  (v5_incsp_1(A) &  (v6_incsp_1(A) & v7_incsp_1(A)) ) ) ) ) ).
fof(rc2_combgras, axiom,  (! [A, B] :  ( (l1_incsp_1(A) & l1_incsp_1(B))  =>  (? [C] :  (l1_combgras(C, A, B) & v5_combgras(C, A, B)) ) ) ) ).
fof(t1_combgras, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  ( (k1_card_1(B)=A & k1_card_1(C)=A)  =>  (B=C |  (r2_tarski(k1_card_1(k3_xboole_0(B, C)), A) & r1_ordinal1(k1_nat_1(A, 1), k1_card_1(k2_xboole_0(B, C)))) ) ) ) ) ) ) ).
fof(t2_combgras, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (! [D] :  ( (k1_card_1(C)=k2_xcmplx_0(B, A) & k1_card_1(D)=k2_xcmplx_0(B, A))  =>  (k1_card_1(k3_xboole_0(C, D))=B <=> k1_card_1(k2_xboole_0(C, D))=k2_xcmplx_0(B, k3_xcmplx_0(2, A))) ) ) ) ) ) ) ) ).
fof(t3_combgras, axiom,  (! [A] :  (! [B] :  (r1_ordinal1(k1_card_1(A), k1_card_1(B)) <=>  (? [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  &  (v2_funct_1(C) &  (r1_tarski(A, k9_xtuple_0(C)) & r1_tarski(k7_relat_1(C, A), B)) ) ) ) ) ) ) ).
fof(t4_combgras, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (v2_funct_1(B) & r1_tarski(A, k9_xtuple_0(B)))  => k1_card_1(k7_relat_1(B, A))=k1_card_1(A)) ) ) ) ).
fof(t5_combgras, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (k6_subset_1(A, B)=k6_subset_1(A, C) &  (r1_tarski(B, A) & r1_tarski(C, A)) )  => B=C) ) ) ) ).
fof(t6_combgras, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v2_funct_1(C) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  ~ ( ( ~ (D=E)  & k7_relat_1(C, D)=k7_relat_1(C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_combgras, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  (! [D] :  ( (k1_card_1(B)=k6_xcmplx_0(A, 1) &  (k1_card_1(C)=k6_xcmplx_0(A, 1) &  (k1_card_1(D)=k6_xcmplx_0(A, 1) &  (k1_card_1(k3_xboole_0(B, C))=k6_xcmplx_0(A, 2) &  (k1_card_1(k3_xboole_0(B, D))=k6_xcmplx_0(A, 2) &  (k1_card_1(k3_xboole_0(C, D))=k6_xcmplx_0(A, 2) & r1_xxreal_0(2, A)) ) ) ) ) )  =>  ( ~ ( (r1_xxreal_0(3, A) &  ( ~ ( (k1_card_1(k3_xboole_0(k3_xboole_0(B, C), D))=k6_xcmplx_0(A, 2) & k1_card_1(k2_xboole_0(k2_xboole_0(B, C), D))=k1_nat_1(A, 1)) )  &  ~ ( (k1_card_1(k3_xboole_0(k3_xboole_0(B, C), D))=k6_xcmplx_0(A, 3) & k1_card_1(k2_xboole_0(k2_xboole_0(B, C), D))=A) ) ) ) )  &  (A=2 =>  (k1_card_1(k3_xboole_0(k3_xboole_0(B, C), D))=k6_xcmplx_0(A, 2) & k1_card_1(k2_xboole_0(k2_xboole_0(B, C), D))=k1_nat_1(A, 1)) ) ) ) ) ) ) ) ) ).
fof(t8_combgras, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (l1_incsp_1(B) =>  (g1_incsp_1(u1_incsp_1(A), u2_incsp_1(A), u3_incsp_1(A))=g1_incsp_1(u1_incsp_1(B), u2_incsp_1(B), u3_incsp_1(B)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(B)) =>  (C=D =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(A)) =>  (! [F] :  (m1_subset_1(F, u2_incsp_1(B)) =>  ( (E=F & r1_incsp_1(A, C, E))  => r1_incsp_1(B, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_combgras, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (l1_incsp_1(B) =>  (g1_incsp_1(u1_incsp_1(A), u2_incsp_1(A), u3_incsp_1(A))=g1_incsp_1(u1_incsp_1(B), u2_incsp_1(B), u3_incsp_1(B)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_incsp_1(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_incsp_1(B))) =>  (C=D =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(A)) =>  (! [F] :  (m1_subset_1(F, u2_incsp_1(B)) =>  ( (E=F & r4_incsp_1(A, C, E))  => r4_incsp_1(B, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_combgras, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (r1_ordinal1(k1_nat_1(A, 1), k1_card_1(B)) =>  (r1_xxreal_0(A, k5_numbers) |  (! [C] :  (m1_subset_1(C, u1_incsp_1(k1_combgras(A, B))) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(k1_combgras(A, B))) =>  (r1_incsp_1(k1_combgras(A, B), C, D) <=> r1_tarski(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_combgras, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (r1_ordinal1(k1_nat_1(A, 1), k1_card_1(B)) =>  (r1_xxreal_0(A, k5_numbers) | v4_incproj(k1_combgras(A, B))) ) ) ) ) ) ).
fof(t12_combgras, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (r1_ordinal1(k1_nat_1(A, 1), k1_card_1(B)) =>  (r1_xxreal_0(A, k5_numbers) |  (! [C] :  (m1_subset_1(C, u1_incsp_1(k1_combgras(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(k1_combgras(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(k1_combgras(A, B))) =>  (! [F] :  (m1_subset_1(F, u1_incsp_1(k1_combgras(A, B))) =>  (! [G] :  (m1_subset_1(G, u1_incsp_1(k1_combgras(A, B))) =>  (! [H] :  (m1_subset_1(H, u1_incsp_1(k1_combgras(A, B))) =>  (! [I] :  (m1_subset_1(I, u2_incsp_1(k1_combgras(A, B))) =>  (! [J] :  (m1_subset_1(J, u2_incsp_1(k1_combgras(A, B))) =>  (! [K] :  (m1_subset_1(K, u2_incsp_1(k1_combgras(A, B))) =>  (! [L] :  (m1_subset_1(L, u2_incsp_1(k1_combgras(A, B))) =>  ~ ( (r1_incsp_1(k1_combgras(A, B), C, I) &  (r1_incsp_1(k1_combgras(A, B), D, I) &  (r1_incsp_1(k1_combgras(A, B), E, J) &  (r1_incsp_1(k1_combgras(A, B), F, J) &  (r1_incsp_1(k1_combgras(A, B), G, I) &  (r1_incsp_1(k1_combgras(A, B), G, J) &  (r1_incsp_1(k1_combgras(A, B), C, K) &  (r1_incsp_1(k1_combgras(A, B), E, K) &  (r1_incsp_1(k1_combgras(A, B), D, L) &  (r1_incsp_1(k1_combgras(A, B), F, L) &  ( ~ (r1_incsp_1(k1_combgras(A, B), G, K))  &  ( ~ (r1_incsp_1(k1_combgras(A, B), G, L))  &  ( ~ (I=J)  &  ( ~ (K=L)  &  (! [M] :  (m1_subset_1(M, u1_incsp_1(k1_combgras(A, B))) =>  ~ ( (r1_incsp_1(k1_combgras(A, B), M, K) &  (r1_incsp_1(k1_combgras(A, B), M, L) & M=k2_xboole_0(k3_xboole_0(C, D), k3_xboole_0(E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_combgras, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (r1_ordinal1(k1_nat_1(A, 1), k1_card_1(B)) =>  (r1_xxreal_0(A, k5_numbers) | v9_incproj(k1_combgras(A, B))) ) ) ) ) ) ).
fof(d2_combgras, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_incsp_1(A))) =>  (v1_combgras(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  ~ ( (r2_tarski(C, B) &  (r2_tarski(D, B) &  (! [E] :  (m1_subset_1(E, u2_incsp_1(A)) =>  ~ (r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), C, D), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_combgras, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_incsp_1(A))) =>  (v2_combgras(B, A) <=>  (v1_combgras(B, A) &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_incsp_1(A))) =>  ( (v1_combgras(C, A) & r1_tarski(B, C))  => C=B) ) ) ) ) ) ) ) ) ).
fof(t14_combgras, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  ( (r1_xxreal_0(2, A) & r1_ordinal1(k1_nat_1(A, 2), k1_card_1(B)))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_incsp_1(k1_combgras(A, B)))) =>  ( (v3_combgras(C, A, B) | v4_combgras(C, A, B))  => v2_combgras(C, k1_combgras(A, B))) ) ) ) ) ) ) ) ).
fof(t15_combgras, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  ( (r1_xxreal_0(2, A) & r1_ordinal1(k1_nat_1(A, 2), k1_card_1(B)))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_incsp_1(k1_combgras(A, B)))) =>  ~ ( (v2_combgras(C, k1_combgras(A, B)) &  ( ~ (v3_combgras(C, A, B))  &  ~ (v4_combgras(C, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_combgras, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (l1_incsp_1(B) =>  (! [C] :  (l1_combgras(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) => k2_combgras(A, B, C, D)=k3_funct_2(u1_incsp_1(A), u1_incsp_1(B), u1_combgras(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(d7_combgras, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (l1_incsp_1(B) =>  (! [C] :  (l1_combgras(C, A, B) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) => k3_combgras(A, B, C, D)=k3_funct_2(u2_incsp_1(A), u2_incsp_1(B), u2_combgras(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t16_combgras, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (l1_incsp_1(B) =>  (! [C] :  (l1_combgras(C, A, B) =>  (! [D] :  (l1_combgras(D, A, B) =>  ( ( (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) => k2_combgras(A, B, C, E)=k2_combgras(A, B, D, E)) )  &  (! [E] :  (m1_subset_1(E, u2_incsp_1(A)) => k3_combgras(A, B, C, E)=k3_combgras(A, B, D, E)) ) )  => g1_combgras(A, B, u1_combgras(A, B, C), u2_combgras(A, B, C))=g1_combgras(A, B, u1_combgras(A, B, D), u2_combgras(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(d8_combgras, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (l1_incsp_1(B) =>  (! [C] :  (l1_combgras(C, A, B) =>  (v6_combgras(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(A)) =>  (r1_incsp_1(A, D, E) <=> r1_incsp_1(B, k2_combgras(A, B, C, D), k3_combgras(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_combgras, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (l1_incsp_1(B) =>  (! [C] :  (l1_combgras(C, A, B) =>  (! [D] :  (l1_combgras(D, A, B) =>  ( (g1_combgras(A, B, u1_combgras(A, B, C), u2_combgras(A, B, C))=g1_combgras(A, B, u1_combgras(A, B, D), u2_combgras(A, B, D)) & v6_combgras(C, A, B))  => v6_combgras(D, A, B)) ) ) ) ) ) ) ) ) ).
fof(d9_combgras, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (l1_combgras(B, A, A) =>  (v7_combgras(B, A) <=>  (v3_funct_2(u2_combgras(A, A, B), u2_incsp_1(A), u2_incsp_1(A)) &  (v3_funct_2(u1_combgras(A, A, B), u1_incsp_1(A), u1_incsp_1(A)) & v6_combgras(B, A, A)) ) ) ) ) ) ) ).
fof(d10_combgras, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (l1_incsp_1(B) =>  (! [C] :  (l1_combgras(C, A, B) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_incsp_1(A))) => k4_combgras(A, B, C, D)=k7_relat_1(u1_combgras(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(d11_combgras, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (l1_incsp_1(B) =>  (! [C] :  (l1_combgras(C, A, B) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_incsp_1(B))) => k5_combgras(A, B, C, D)=k8_relat_1(u1_combgras(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(d13_combgras, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (r1_ordinal1(k1_nat_1(A, 1), k1_card_1(B)) =>  (r1_xxreal_0(A, k5_numbers) |  (! [C] :  (v1_finset_1(C) =>  (k4_card_1(C)=k6_xcmplx_0(A, 1) => k7_combgras(A, B, C)=k6_combgras(B, C)) ) ) ) ) ) ) ) ) ).
fof(t20_combgras, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (l1_combgras(B, A, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_incsp_1(A))) =>  ( (v6_combgras(B, A, A) & v1_combgras(C, A))  => v1_combgras(k4_combgras(A, A, B, C), A)) ) ) ) ) ) ) ).
fof(t21_combgras, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (l1_combgras(B, A, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_incsp_1(A))) =>  ( (v6_combgras(B, A, A) &  (v2_funct_2(u2_combgras(A, A, B), u2_incsp_1(A)) & v1_combgras(C, A)) )  => v1_combgras(k5_combgras(A, A, B, C), A)) ) ) ) ) ) ) ).
fof(t22_combgras, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (l1_combgras(B, A, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_incsp_1(A))) =>  ( (v7_combgras(B, A) & v2_combgras(C, A))  =>  (v2_combgras(k4_combgras(A, A, B, C), A) & v2_combgras(k5_combgras(A, A, B, C), A)) ) ) ) ) ) ) ) ).
fof(t23_combgras, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  ( (r1_xxreal_0(2, A) & r1_ordinal1(k1_nat_1(A, 2), k1_card_1(B)))  =>  (! [C] :  (l1_combgras(C, k1_combgras(A, B), k1_combgras(A, B)) =>  (v7_combgras(C, k1_combgras(A, B)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_incsp_1(k1_combgras(A, B)))) =>  (v3_combgras(D, A, B) =>  (v3_combgras(k4_combgras(k1_combgras(A, B), k1_combgras(A, B), C, D), A, B) & v3_combgras(k5_combgras(k1_combgras(A, B), k1_combgras(A, B), C, D), A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_combgras, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (r1_ordinal1(k1_nat_1(A, 1), k1_card_1(B)) =>  (r1_xxreal_0(A, k5_numbers) |  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, B) &  (v3_funct_2(C, B, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  =>  (! [D] :  ( (v5_combgras(D, k1_combgras(A, B), k1_combgras(A, B)) & l1_combgras(D, k1_combgras(A, B), k1_combgras(A, B)))  =>  (D=k8_combgras(A, B, C) <=>  ( (! [E] :  (m1_subset_1(E, u1_incsp_1(k1_combgras(A, B))) => k2_combgras(k1_combgras(A, B), k1_combgras(A, B), D, E)=k7_relat_1(C, E)) )  &  (! [E] :  (m1_subset_1(E, u2_incsp_1(k1_combgras(A, B))) => k3_combgras(k1_combgras(A, B), k1_combgras(A, B), D, E)=k7_relat_1(C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_combgras, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  ( (A=1 & r1_ordinal1(k1_nat_1(A, 1), k1_card_1(B)))  =>  (! [C] :  (l1_combgras(C, k1_combgras(A, B), k1_combgras(A, B)) =>  ~ ( (v7_combgras(C, k1_combgras(A, B)) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, B) &  (v3_funct_2(D, B, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  =>  ~ (g1_combgras(k1_combgras(A, B), k1_combgras(A, B), u1_combgras(k1_combgras(A, B), k1_combgras(A, B), C), u2_combgras(k1_combgras(A, B), k1_combgras(A, B), C))=k8_combgras(A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_combgras, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (k1_card_1(B)=k1_nat_1(A, 1) =>  (r1_xxreal_0(A, 1) |  (! [C] :  (l1_combgras(C, k1_combgras(A, B), k1_combgras(A, B)) =>  ~ ( (v7_combgras(C, k1_combgras(A, B)) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, B) &  (v3_funct_2(D, B, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  =>  ~ (g1_combgras(k1_combgras(A, B), k1_combgras(A, B), u1_combgras(k1_combgras(A, B), k1_combgras(A, B), C), u2_combgras(k1_combgras(A, B), k1_combgras(A, B), C))=k8_combgras(A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_combgras, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (r1_ordinal1(k1_nat_1(A, 1), k1_card_1(B)) =>  (r1_xxreal_0(A, k5_numbers) |  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_incsp_1(k1_combgras(A, B)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_incsp_1(k1_combgras(A, B)))) =>  ( (v3_combgras(C, A, B) &  (v3_combgras(D, A, B) & k1_setfam_1(C)=k1_setfam_1(D)) )  => C=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_combgras, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (r1_ordinal1(k1_nat_1(A, 1), k1_card_1(B)) =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(B)))  =>  (k4_card_1(C)=k6_xcmplx_0(A, 1) => v3_combgras(k7_combgras(A, B, C), A, B)) ) ) ) ) ) ) ) ).
fof(t30_combgras, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (r1_ordinal1(k1_nat_1(A, 1), k1_card_1(B)) =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(B)))  =>  (k4_card_1(C)=k6_xcmplx_0(A, 1) => k1_setfam_1(k7_combgras(A, B, C))=C) ) ) ) ) ) ) ) ).
fof(t31_combgras, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (r1_ordinal1(k1_nat_1(A, 3), k1_card_1(B)) =>  (r1_xxreal_0(A, k5_numbers) |  (! [C] :  (l1_combgras(C, k1_combgras(k1_nat_1(A, 1), B), k1_combgras(k1_nat_1(A, 1), B)) =>  ~ ( (v7_combgras(C, k1_combgras(k1_nat_1(A, 1), B)) &  (! [D] :  (l1_combgras(D, k1_combgras(A, B), k1_combgras(A, B)) =>  ~ ( (v7_combgras(D, k1_combgras(A, B)) &  (r1_funct_2(u2_incsp_1(k1_combgras(A, B)), u2_incsp_1(k1_combgras(A, B)), u1_incsp_1(k1_combgras(k1_nat_1(A, 1), B)), u1_incsp_1(k1_combgras(k1_nat_1(A, 1), B)), u2_combgras(k1_combgras(A, B), k1_combgras(A, B), D), u1_combgras(k1_combgras(k1_nat_1(A, 1), B), k1_combgras(k1_nat_1(A, 1), B), C)) &  (! [E] :  (m1_subset_1(E, u1_incsp_1(k1_combgras(A, B))) =>  (! [F] :  (v1_finset_1(F) =>  (F=E => k2_combgras(k1_combgras(A, B), k1_combgras(A, B), D, E)=k1_setfam_1(k4_combgras(k1_combgras(k1_nat_1(A, 1), B), k1_combgras(k1_nat_1(A, 1), B), C, k7_combgras(k1_nat_1(A, 1), B, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_combgras, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (r1_ordinal1(k1_nat_1(A, 3), k1_card_1(B)) =>  (r1_xxreal_0(A, k5_numbers) |  (! [C] :  (l1_combgras(C, k1_combgras(k1_nat_1(A, 1), B), k1_combgras(k1_nat_1(A, 1), B)) =>  (v7_combgras(C, k1_combgras(k1_nat_1(A, 1), B)) =>  (! [D] :  (l1_combgras(D, k1_combgras(A, B), k1_combgras(A, B)) =>  (r1_funct_2(u2_incsp_1(k1_combgras(A, B)), u2_incsp_1(k1_combgras(A, B)), u1_incsp_1(k1_combgras(k1_nat_1(A, 1), B)), u1_incsp_1(k1_combgras(k1_nat_1(A, 1), B)), u2_combgras(k1_combgras(A, B), k1_combgras(A, B), D), u1_combgras(k1_combgras(k1_nat_1(A, 1), B), k1_combgras(k1_nat_1(A, 1), B), C)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, B) &  (v3_funct_2(E, B, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  =>  (g1_combgras(k1_combgras(A, B), k1_combgras(A, B), u1_combgras(k1_combgras(A, B), k1_combgras(A, B), D), u2_combgras(k1_combgras(A, B), k1_combgras(A, B), D))=k8_combgras(A, B, E) => g1_combgras(k1_combgras(k1_nat_1(A, 1), B), k1_combgras(k1_nat_1(A, 1), B), u1_combgras(k1_combgras(k1_nat_1(A, 1), B), k1_combgras(k1_nat_1(A, 1), B), C), u2_combgras(k1_combgras(k1_nat_1(A, 1), B), k1_combgras(k1_nat_1(A, 1), B), C))=k8_combgras(k1_nat_1(A, 1), B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_combgras, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  ( (r1_xxreal_0(2, A) & r1_ordinal1(k1_nat_1(A, 2), k1_card_1(B)))  =>  (! [C] :  (l1_combgras(C, k1_combgras(A, B), k1_combgras(A, B)) =>  ~ ( (v7_combgras(C, k1_combgras(A, B)) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, B) &  (v3_funct_2(D, B, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  =>  ~ (g1_combgras(k1_combgras(A, B), k1_combgras(A, B), u1_combgras(k1_combgras(A, B), k1_combgras(A, B), C), u2_combgras(k1_combgras(A, B), k1_combgras(A, B), C))=k8_combgras(A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_combgras, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (r1_ordinal1(k1_nat_1(A, 1), k1_card_1(B)) =>  (r1_xxreal_0(A, k5_numbers) |  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, B) &  (v3_funct_2(C, B, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  => v7_combgras(k8_combgras(A, B, C), k1_combgras(A, B))) ) ) ) ) ) ) ) ).
fof(t35_combgras, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (r1_ordinal1(k1_nat_1(A, 1), k1_card_1(B)) =>  (r1_xxreal_0(A, k5_numbers) |  (! [C] :  (l1_combgras(C, k1_combgras(A, B), k1_combgras(A, B)) =>  (v7_combgras(C, k1_combgras(A, B)) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, B) &  (v3_funct_2(D, B, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  & g1_combgras(k1_combgras(A, B), k1_combgras(A, B), u1_combgras(k1_combgras(A, B), k1_combgras(A, B), C), u2_combgras(k1_combgras(A, B), k1_combgras(A, B), C))=k8_combgras(A, B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_combgras, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(B)) )  =>  (v1_incsp_1(k1_combgras(A, B)) &  (v5_incsp_1(k1_combgras(A, B)) &  (v7_incsp_1(k1_combgras(A, B)) & l1_incsp_1(k1_combgras(A, B))) ) ) ) ) ).
fof(abstractness_v5_combgras, axiom,  (! [A, B, C] :  ( (l1_incsp_1(A) &  (l1_incsp_1(B) & l1_combgras(C, A, B)) )  =>  (v5_combgras(C, A, B) => C=g1_combgras(A, B, u1_combgras(A, B, C), u2_combgras(A, B, C))) ) ) ).
fof(existence_l1_combgras, axiom,  (! [A, B] :  ( (l1_incsp_1(A) & l1_incsp_1(B))  =>  (? [C] : l1_combgras(C, A, B)) ) ) ).
fof(dt_g1_combgras, axiom,  (! [A, B, C, D] :  ( (l1_incsp_1(A) &  (l1_incsp_1(B) &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_incsp_1(A), u1_incsp_1(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_incsp_1(A), u1_incsp_1(B))))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, u2_incsp_1(A), u2_incsp_1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u2_incsp_1(A), u2_incsp_1(B))))) ) ) ) )  =>  (v5_combgras(g1_combgras(A, B, C, D), A, B) & l1_combgras(g1_combgras(A, B, C, D), A, B)) ) ) ).
fof(free_g1_combgras, axiom,  (! [A, B, C, D] :  ( (l1_incsp_1(A) &  (l1_incsp_1(B) &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_incsp_1(A), u1_incsp_1(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_incsp_1(A), u1_incsp_1(B))))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, u2_incsp_1(A), u2_incsp_1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u2_incsp_1(A), u2_incsp_1(B))))) ) ) ) )  =>  (! [E, F, G, H] :  (g1_combgras(A, B, C, D)=g1_combgras(E, F, G, H) =>  (A=E &  (B=F &  (C=G & D=H) ) ) ) ) ) ) ).
fof(dt_u1_combgras, axiom,  (! [A, B, C] :  ( (l1_incsp_1(A) &  (l1_incsp_1(B) & l1_combgras(C, A, B)) )  =>  (v1_funct_1(u1_combgras(A, B, C)) &  (v1_funct_2(u1_combgras(A, B, C), u1_incsp_1(A), u1_incsp_1(B)) & m1_subset_1(u1_combgras(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_incsp_1(A), u1_incsp_1(B))))) ) ) ) ).
fof(dt_u2_combgras, axiom,  (! [A, B, C] :  ( (l1_incsp_1(A) &  (l1_incsp_1(B) & l1_combgras(C, A, B)) )  =>  (v1_funct_1(u2_combgras(A, B, C)) &  (v1_funct_2(u2_combgras(A, B, C), u2_incsp_1(A), u2_incsp_1(B)) & m1_subset_1(u2_combgras(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u2_incsp_1(A), u2_incsp_1(B))))) ) ) ) ).
fof(dt_k2_combgras, axiom,  (! [A, B, C, D] :  ( (l1_incsp_1(A) &  (l1_incsp_1(B) &  (l1_combgras(C, A, B) & m1_subset_1(D, u1_incsp_1(A))) ) )  => m1_subset_1(k2_combgras(A, B, C, D), u1_incsp_1(B))) ) ).
fof(dt_k3_combgras, axiom,  (! [A, B, C, D] :  ( (l1_incsp_1(A) &  (l1_incsp_1(B) &  (l1_combgras(C, A, B) & m1_subset_1(D, u2_incsp_1(A))) ) )  => m1_subset_1(k3_combgras(A, B, C, D), u2_incsp_1(B))) ) ).
fof(dt_k4_combgras, axiom,  (! [A, B, C, D] :  ( (l1_incsp_1(A) &  (l1_incsp_1(B) &  (l1_combgras(C, A, B) & m1_subset_1(D, k1_zfmisc_1(u1_incsp_1(A)))) ) )  => m1_subset_1(k4_combgras(A, B, C, D), k1_zfmisc_1(u1_incsp_1(B)))) ) ).
fof(dt_k5_combgras, axiom,  (! [A, B, C, D] :  ( (l1_incsp_1(A) &  (l1_incsp_1(B) &  (l1_combgras(C, A, B) & m1_subset_1(D, k1_zfmisc_1(u1_incsp_1(B)))) ) )  => m1_subset_1(k5_combgras(A, B, C, D), k1_zfmisc_1(u1_incsp_1(A)))) ) ).
fof(dt_k6_combgras, axiom,  (! [A, B] :  (v1_finset_1(B) => m1_subset_1(k6_combgras(A, B), k1_zfmisc_1(k9_setfam_1(A)))) ) ).
fof(dt_k7_combgras, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ~ (v1_xboole_0(B))  & v1_finset_1(C)) )  => m1_subset_1(k7_combgras(A, B, C), k1_zfmisc_1(u1_incsp_1(k1_combgras(A, B))))) ) ).
fof(dt_k8_combgras, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, B, B) &  (v3_funct_2(C, B, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) ) ) )  =>  (v5_combgras(k8_combgras(A, B, C), k1_combgras(A, B), k1_combgras(A, B)) & l1_combgras(k8_combgras(A, B, C), k1_combgras(A, B), k1_combgras(A, B))) ) ) ).
fof(d1_combgras, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (r1_ordinal1(k1_nat_1(A, 1), k1_card_1(B)) =>  (r1_xxreal_0(A, k5_numbers) |  (! [C] :  ( (v1_incsp_1(C) &  (v5_incsp_1(C) &  (v7_incsp_1(C) & l1_incsp_1(C)) ) )  =>  (C=k1_combgras(A, B) <=>  (u1_incsp_1(C)=a_2_0_combgras(A, B) &  (u2_incsp_1(C)=a_2_1_combgras(A, B) & u3_incsp_1(C)=k3_xboole_0(k1_wellord2(k9_setfam_1(B)), k2_zfmisc_1(u1_incsp_1(C), u2_incsp_1(C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_combgras, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_incsp_1(k1_combgras(A, B)))) =>  (v3_combgras(C, A, B) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) &  (k1_card_1(D)=k6_xcmplx_0(A, 1) & C=a_3_0_combgras(A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(d5_combgras, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_incsp_1(k1_combgras(A, B)))) =>  (v4_combgras(C, A, B) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) &  (k1_card_1(D)=k1_nat_1(A, 1) & C=a_3_1_combgras(A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(d12_combgras, axiom,  (! [A] :  (! [B] :  (v1_finset_1(B) => k6_combgras(A, B)=a_2_2_combgras(A, B)) ) ) ).
fof(t18_combgras, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (l1_incsp_1(B) =>  (! [C] :  (l1_combgras(C, A, B) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_incsp_1(A))) => k4_combgras(A, B, C, D)=a_4_0_combgras(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t19_combgras, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (l1_incsp_1(B) =>  (! [C] :  (l1_combgras(C, A, B) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_incsp_1(B))) => k5_combgras(A, B, C, D)=a_4_1_combgras(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t26_combgras, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (r1_ordinal1(k1_nat_1(A, 1), k1_card_1(B)) =>  (r1_xxreal_0(A, k5_numbers) |  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_incsp_1(k1_combgras(A, B)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) =>  ( (k1_card_1(D)=k6_xcmplx_0(A, 1) & C=a_3_2_combgras(A, B, D))  => D=k1_setfam_1(C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_combgras, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (r1_ordinal1(k1_nat_1(A, 1), k1_card_1(B)) =>  (r1_xxreal_0(A, k5_numbers) |  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_incsp_1(k1_combgras(A, B)))) =>  (v3_combgras(C, A, B) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) =>  (D=k1_setfam_1(C) =>  (k1_card_1(D)=k6_xcmplx_0(A, 1) & C=a_3_2_combgras(A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_combgras, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) &  ~ (v1_xboole_0(C)) )  =>  (r2_hidden(A, a_2_0_combgras(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(C)) &  (A=D & k1_card_1(D)=B) ) ) ) ) ) ).
fof(fraenkel_a_2_1_combgras, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) &  ~ (v1_xboole_0(C)) )  =>  (r2_hidden(A, a_2_1_combgras(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(C)) &  (A=D & k1_card_1(D)=k1_nat_1(B, 1)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_combgras, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(B) &  ( ~ (v1_xboole_0(C))  & m1_subset_1(D, k1_zfmisc_1(C))) )  =>  (r2_hidden(A, a_3_0_combgras(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(C)) &  (A=E &  (k1_card_1(E)=B & r1_tarski(D, E)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_combgras, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(B) &  ( ~ (v1_xboole_0(C))  & m1_subset_1(D, k1_zfmisc_1(C))) )  =>  (r2_hidden(A, a_3_1_combgras(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(C)) &  (A=E &  (k1_card_1(E)=B & r1_tarski(E, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_2_combgras, axiom,  (! [A, B, C] :  (v1_finset_1(C) =>  (r2_hidden(A, a_2_2_combgras(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) &  (A=D &  (k1_card_1(D)=k1_nat_1(k4_card_1(C), 1) & r1_tarski(C, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_combgras, axiom,  (! [A, B, C, D, E] :  ( (l1_incsp_1(B) &  (l1_incsp_1(C) &  (l1_combgras(D, B, C) & m1_subset_1(E, k1_zfmisc_1(u1_incsp_1(B)))) ) )  =>  (r2_hidden(A, a_4_0_combgras(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_incsp_1(C)) &  (A=F &  (? [G] :  (m1_subset_1(G, u1_incsp_1(B)) &  (r2_tarski(G, E) & k2_combgras(B, C, D, G)=F) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_1_combgras, axiom,  (! [A, B, C, D, E] :  ( (l1_incsp_1(B) &  (l1_incsp_1(C) &  (l1_combgras(D, B, C) & m1_subset_1(E, k1_zfmisc_1(u1_incsp_1(C)))) ) )  =>  (r2_hidden(A, a_4_1_combgras(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_incsp_1(B)) &  (A=F &  (? [G] :  (m1_subset_1(G, u1_incsp_1(C)) &  (r2_tarski(G, E) & k2_combgras(B, C, D, F)=G) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_2_combgras, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(B, k4_ordinal1) &  ( ~ (v1_xboole_0(C))  & m1_subset_1(D, k1_zfmisc_1(C))) )  =>  (r2_hidden(A, a_3_2_combgras(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(C)) &  (A=E &  (k1_card_1(E)=B & r1_tarski(D, E)) ) ) ) ) ) ) ).
fof(t1_commacat, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, C) =>  (! [E] :  (m2_cat_1(E, B, C) =>  (! [F] :  (m2_subset_1(F, k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k1_commacat(A, B, C, D, E)) =>  ( (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  (? [H] :  (m1_subset_1(H, u1_struct_0(B)) &  (? [I] :  (m1_subset_1(I, u4_struct_0(C)) & r2_tarski(I, k2_cat_1(C, k8_cat_1(A, C, D, G), k8_cat_1(B, C, E, H)))) ) ) ) ) )  =>  (F=k1_domain_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C), k1_domain_1(u1_struct_0(A), u1_struct_0(B), k14_domain_1(u1_struct_0(A), u1_struct_0(B), u4_struct_0(C), F), k15_domain_1(u1_struct_0(A), u1_struct_0(B), u4_struct_0(C), F)), k3_domain_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C), F)) &  (r2_tarski(k3_domain_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C), F), k2_cat_1(C, k8_cat_1(A, C, D, k14_domain_1(u1_struct_0(A), u1_struct_0(B), u4_struct_0(C), F)), k8_cat_1(B, C, E, k15_domain_1(u1_struct_0(A), u1_struct_0(B), u4_struct_0(C), F)))) &  (k3_graph_1(C, k3_domain_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C), F))=k8_cat_1(A, C, D, k14_domain_1(u1_struct_0(A), u1_struct_0(B), u4_struct_0(C), F)) & k4_graph_1(C, k3_domain_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C), F))=k8_cat_1(B, C, E, k15_domain_1(u1_struct_0(A), u1_struct_0(B), u4_struct_0(C), F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_commacat, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, C) =>  (! [E] :  (m2_cat_1(E, B, C) =>  (! [F] :  (m2_subset_1(F, k2_zfmisc_1(k8_mcart_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k1_commacat(A, B, C, D, E), k1_commacat(A, B, C, D, E)), k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B))), k2_commacat(A, B, C, D, E)) =>  ( (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  (? [H] :  (m1_subset_1(H, u1_struct_0(B)) &  (? [I] :  (m1_subset_1(I, u4_struct_0(C)) & r2_tarski(I, k2_cat_1(C, k8_cat_1(A, C, D, G), k8_cat_1(B, C, E, H)))) ) ) ) ) )  =>  (F=k1_domain_1(k2_zfmisc_1(k1_commacat(A, B, C, D, E), k1_commacat(A, B, C, D, E)), k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B)), k1_domain_1(k1_commacat(A, B, C, D, E), k1_commacat(A, B, C, D, E), k3_commacat(A, B, C, D, E, F), k4_commacat(A, B, C, D, E, F)), k1_domain_1(u4_struct_0(A), u4_struct_0(B), k16_domain_1(k8_mcart_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k1_commacat(A, B, C, D, E), k1_commacat(A, B, C, D, E)), u4_struct_0(A), u4_struct_0(B), F), k17_domain_1(k8_mcart_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k1_commacat(A, B, C, D, E), k1_commacat(A, B, C, D, E)), u4_struct_0(A), u4_struct_0(B), F))) &  (k3_graph_1(A, k16_domain_1(k8_mcart_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k1_commacat(A, B, C, D, E), k1_commacat(A, B, C, D, E)), u4_struct_0(A), u4_struct_0(B), F))=k14_domain_1(u1_struct_0(A), u1_struct_0(B), u4_struct_0(C), k3_commacat(A, B, C, D, E, F)) &  (k4_graph_1(A, k16_domain_1(k8_mcart_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k1_commacat(A, B, C, D, E), k1_commacat(A, B, C, D, E)), u4_struct_0(A), u4_struct_0(B), F))=k14_domain_1(u1_struct_0(A), u1_struct_0(B), u4_struct_0(C), k4_commacat(A, B, C, D, E, F)) &  (k3_graph_1(B, k17_domain_1(k8_mcart_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k1_commacat(A, B, C, D, E), k1_commacat(A, B, C, D, E)), u4_struct_0(A), u4_struct_0(B), F))=k15_domain_1(u1_struct_0(A), u1_struct_0(B), u4_struct_0(C), k3_commacat(A, B, C, D, E, F)) &  (k4_graph_1(B, k17_domain_1(k8_mcart_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k1_commacat(A, B, C, D, E), k1_commacat(A, B, C, D, E)), u4_struct_0(A), u4_struct_0(B), F))=k15_domain_1(u1_struct_0(A), u1_struct_0(B), u4_struct_0(C), k4_commacat(A, B, C, D, E, F)) & k1_cat_1(C, k3_funct_2(u4_struct_0(A), u4_struct_0(C), D, k16_domain_1(k8_mcart_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k1_commacat(A, B, C, D, E), k1_commacat(A, B, C, D, E)), u4_struct_0(A), u4_struct_0(B), F)), k3_domain_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C), k4_commacat(A, B, C, D, E, F)))=k1_cat_1(C, k3_domain_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C), k3_commacat(A, B, C, D, E, F)), k3_funct_2(u4_struct_0(B), u4_struct_0(C), E, k17_domain_1(k8_mcart_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k1_commacat(A, B, C, D, E), k1_commacat(A, B, C, D, E)), u4_struct_0(A), u4_struct_0(B), F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_commacat, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, C) =>  (! [E] :  (m2_cat_1(E, B, C) =>  (! [F] :  (m2_subset_1(F, k2_zfmisc_1(k8_mcart_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k1_commacat(A, B, C, D, E), k1_commacat(A, B, C, D, E)), k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B))), k2_commacat(A, B, C, D, E)) =>  (! [G] :  (m2_subset_1(G, k2_zfmisc_1(k8_mcart_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k1_commacat(A, B, C, D, E), k1_commacat(A, B, C, D, E)), k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B))), k2_commacat(A, B, C, D, E)) =>  (k4_commacat(A, B, C, D, E, F)=k3_commacat(A, B, C, D, E, G) =>  ( (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(B)) =>  (! [J] :  (m1_subset_1(J, u4_struct_0(C)) =>  ~ (r2_tarski(J, k2_cat_1(C, k8_cat_1(A, C, D, H), k8_cat_1(B, C, E, I)))) ) ) ) ) ) )  | k5_commacat(A, B, C, D, E, F, G)=k1_domain_1(k2_zfmisc_1(k1_commacat(A, B, C, D, E), k1_commacat(A, B, C, D, E)), k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B)), k1_domain_1(k1_commacat(A, B, C, D, E), k1_commacat(A, B, C, D, E), k3_commacat(A, B, C, D, E, F), k4_commacat(A, B, C, D, E, G)), k1_domain_1(u4_struct_0(A), u4_struct_0(B), k1_cat_1(A, k16_domain_1(k8_mcart_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k1_commacat(A, B, C, D, E), k1_commacat(A, B, C, D, E)), u4_struct_0(A), u4_struct_0(B), F), k16_domain_1(k8_mcart_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k1_commacat(A, B, C, D, E), k1_commacat(A, B, C, D, E)), u4_struct_0(A), u4_struct_0(B), G)), k1_cat_1(B, k17_domain_1(k8_mcart_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k1_commacat(A, B, C, D, E), k1_commacat(A, B, C, D, E)), u4_struct_0(A), u4_struct_0(B), F), k17_domain_1(k8_mcart_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k1_commacat(A, B, C, D, E), k1_commacat(A, B, C, D, E)), u4_struct_0(A), u4_struct_0(B), G))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_commacat, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, C) =>  (! [E] :  (m2_cat_1(E, B, C) =>  ( (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(B)) &  (? [H] :  (m1_subset_1(H, u4_struct_0(C)) & r2_tarski(H, k2_cat_1(C, k8_cat_1(A, C, D, F), k8_cat_1(B, C, E, G)))) ) ) ) ) )  =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  ( ~ (v11_struct_0(F))  &  (v1_cat_1(F) &  (v2_cat_1(F) &  (v3_cat_1(F) &  (v4_cat_1(F) &  (v5_cat_1(F) &  (v6_cat_1(F) & l1_cat_1(F)) ) ) ) ) ) ) )  =>  (F=k7_commacat(A, B, C, D, E) <=>  (u1_struct_0(F)=k1_commacat(A, B, C, D, E) &  (u4_struct_0(F)=k2_commacat(A, B, C, D, E) &  ( (! [G] :  (m2_subset_1(G, k2_zfmisc_1(k8_mcart_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k1_commacat(A, B, C, D, E), k1_commacat(A, B, C, D, E)), k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B))), k2_commacat(A, B, C, D, E)) => k1_funct_1(u1_graph_1(F), G)=k3_commacat(A, B, C, D, E, G)) )  &  ( (! [G] :  (m2_subset_1(G, k2_zfmisc_1(k8_mcart_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k1_commacat(A, B, C, D, E), k1_commacat(A, B, C, D, E)), k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B))), k2_commacat(A, B, C, D, E)) => k1_funct_1(u2_graph_1(F), G)=k4_commacat(A, B, C, D, E, G)) )  & u1_cat_1(F)=k6_commacat(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_commacat, axiom,  (! [A] :  (! [B] :  (u1_struct_0(k3_cat_1(B, A))=k1_tarski(B) & u4_struct_0(k3_cat_1(B, A))=k1_tarski(A)) ) ) ).
fof(t4_commacat, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_cat_1(B, A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k3_cat_1(B, A))) => k2_cat_1(k3_cat_1(B, A), C, D)=k1_tarski(A)) ) ) ) ) ) ).
fof(d6_commacat, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k8_commacat(A, B)=k3_cat_1(B, k4_cat_1(A, B))) ) ) ) ).
fof(d7_commacat, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k9_commacat(A, B)=k7_commacat(k8_commacat(A, B), A, A, k5_cat_2(A, k8_commacat(A, B)), k10_cat_1(A))) ) ) ) ).
fof(d8_commacat, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k10_commacat(A, B)=k7_commacat(A, k8_commacat(A, B), A, k10_cat_1(A), k5_cat_2(A, k8_commacat(A, B)))) ) ) ) ).
fof(dt_k1_commacat, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  (m2_cat_1(D, A, C) & m2_cat_1(E, B, C)) ) ) )  =>  ( ~ (v1_xboole_0(k1_commacat(A, B, C, D, E)))  & m1_subset_1(k1_commacat(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C))))) ) ) ).
fof(dt_k2_commacat, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  (m2_cat_1(D, A, C) & m2_cat_1(E, B, C)) ) ) )  =>  ( ~ (v1_xboole_0(k2_commacat(A, B, C, D, E)))  & m1_subset_1(k2_commacat(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k8_mcart_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k1_commacat(A, B, C, D, E), k1_commacat(A, B, C, D, E)), k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B)))))) ) ) ).
fof(dt_k3_commacat, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  (m2_cat_1(D, A, C) &  (m2_cat_1(E, B, C) & m1_subset_1(F, k2_commacat(A, B, C, D, E))) ) ) ) )  => m2_subset_1(k3_commacat(A, B, C, D, E, F), k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k1_commacat(A, B, C, D, E))) ) ).
fof(redefinition_k3_commacat, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  (m2_cat_1(D, A, C) &  (m2_cat_1(E, B, C) & m1_subset_1(F, k2_commacat(A, B, C, D, E))) ) ) ) )  => k3_commacat(A, B, C, D, E, F)=k13_mcart_1(F)) ) ).
fof(dt_k4_commacat, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  (m2_cat_1(D, A, C) &  (m2_cat_1(E, B, C) & m1_subset_1(F, k2_commacat(A, B, C, D, E))) ) ) ) )  => m2_subset_1(k4_commacat(A, B, C, D, E, F), k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k1_commacat(A, B, C, D, E))) ) ).
fof(redefinition_k4_commacat, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  (m2_cat_1(D, A, C) &  (m2_cat_1(E, B, C) & m1_subset_1(F, k2_commacat(A, B, C, D, E))) ) ) ) )  => k4_commacat(A, B, C, D, E, F)=k14_mcart_1(F)) ) ).
fof(dt_k5_commacat, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  (m2_cat_1(D, A, C) &  (m2_cat_1(E, B, C) &  (m1_subset_1(F, k2_commacat(A, B, C, D, E)) & m1_subset_1(G, k2_commacat(A, B, C, D, E))) ) ) ) ) )  => m2_subset_1(k5_commacat(A, B, C, D, E, F, G), k2_zfmisc_1(k8_mcart_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k1_commacat(A, B, C, D, E), k1_commacat(A, B, C, D, E)), k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B))), k2_commacat(A, B, C, D, E))) ) ).
fof(dt_k6_commacat, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  (m2_cat_1(D, A, C) & m2_cat_1(E, B, C)) ) ) )  =>  (v1_funct_1(k6_commacat(A, B, C, D, E)) & m1_subset_1(k6_commacat(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k8_mcart_1(k2_zfmisc_1(k8_mcart_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k1_commacat(A, B, C, D, E), k1_commacat(A, B, C, D, E)), k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B))), k2_zfmisc_1(k8_mcart_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k1_commacat(A, B, C, D, E), k1_commacat(A, B, C, D, E)), k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B))), k2_commacat(A, B, C, D, E), k2_commacat(A, B, C, D, E)), k2_commacat(A, B, C, D, E))))) ) ) ).
fof(dt_k7_commacat, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  (m2_cat_1(D, A, C) & m2_cat_1(E, B, C)) ) ) )  =>  ( ~ (v2_struct_0(k7_commacat(A, B, C, D, E)))  &  ( ~ (v11_struct_0(k7_commacat(A, B, C, D, E)))  &  (v1_cat_1(k7_commacat(A, B, C, D, E)) &  (v2_cat_1(k7_commacat(A, B, C, D, E)) &  (v3_cat_1(k7_commacat(A, B, C, D, E)) &  (v4_cat_1(k7_commacat(A, B, C, D, E)) &  (v5_cat_1(k7_commacat(A, B, C, D, E)) &  (v6_cat_1(k7_commacat(A, B, C, D, E)) & l1_cat_1(k7_commacat(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(dt_k8_commacat, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_cat_1(k8_commacat(A, B)) & m3_cat_2(k8_commacat(A, B), A)) ) ) ).
fof(dt_k9_commacat, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  ( ~ (v2_struct_0(k9_commacat(A, B)))  &  ( ~ (v11_struct_0(k9_commacat(A, B)))  &  (v1_cat_1(k9_commacat(A, B)) &  (v2_cat_1(k9_commacat(A, B)) &  (v3_cat_1(k9_commacat(A, B)) &  (v4_cat_1(k9_commacat(A, B)) &  (v5_cat_1(k9_commacat(A, B)) &  (v6_cat_1(k9_commacat(A, B)) & l1_cat_1(k9_commacat(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(dt_k10_commacat, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  ( ~ (v2_struct_0(k10_commacat(A, B)))  &  ( ~ (v11_struct_0(k10_commacat(A, B)))  &  (v1_cat_1(k10_commacat(A, B)) &  (v2_cat_1(k10_commacat(A, B)) &  (v3_cat_1(k10_commacat(A, B)) &  (v4_cat_1(k10_commacat(A, B)) &  (v5_cat_1(k10_commacat(A, B)) &  (v6_cat_1(k10_commacat(A, B)) & l1_cat_1(k10_commacat(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(d1_commacat, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, C) =>  (! [E] :  (m2_cat_1(E, B, C) =>  ( (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(B)) &  (? [H] :  (m1_subset_1(H, u4_struct_0(C)) & r2_tarski(H, k2_cat_1(C, k8_cat_1(A, C, D, F), k8_cat_1(B, C, E, G)))) ) ) ) ) )  => k1_commacat(A, B, C, D, E)=a_5_0_commacat(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_commacat, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, C) =>  (! [E] :  (m2_cat_1(E, B, C) =>  ( (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(B)) &  (? [H] :  (m1_subset_1(H, u4_struct_0(C)) & r2_tarski(H, k2_cat_1(C, k8_cat_1(A, C, D, F), k8_cat_1(B, C, E, G)))) ) ) ) ) )  => k2_commacat(A, B, C, D, E)=a_5_1_commacat(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_commacat, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, C) =>  (! [E] :  (m2_cat_1(E, B, C) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k8_mcart_1(k2_zfmisc_1(k8_mcart_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k1_commacat(A, B, C, D, E), k1_commacat(A, B, C, D, E)), k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B))), k2_zfmisc_1(k8_mcart_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k1_commacat(A, B, C, D, E), k1_commacat(A, B, C, D, E)), k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B))), k2_commacat(A, B, C, D, E), k2_commacat(A, B, C, D, E)), k2_commacat(A, B, C, D, E)))))  =>  (F=k6_commacat(A, B, C, D, E) <=>  (k9_xtuple_0(F)=a_5_2_commacat(A, B, C, D, E) &  (! [G] :  (m2_subset_1(G, k2_zfmisc_1(k8_mcart_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k1_commacat(A, B, C, D, E), k1_commacat(A, B, C, D, E)), k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B))), k2_commacat(A, B, C, D, E)) =>  (! [H] :  (m2_subset_1(H, k2_zfmisc_1(k8_mcart_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)), k1_commacat(A, B, C, D, E), k1_commacat(A, B, C, D, E)), k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B))), k2_commacat(A, B, C, D, E)) =>  (r2_tarski(k1_domain_1(k2_commacat(A, B, C, D, E), k2_commacat(A, B, C, D, E), G, H), k9_xtuple_0(F)) => k1_funct_1(F, k1_domain_1(k2_commacat(A, B, C, D, E), k2_commacat(A, B, C, D, E), G, H))=k5_commacat(A, B, C, D, E, H, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_5_0_commacat, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_cat_1(D) &  (v3_cat_1(D) &  (v4_cat_1(D) &  (v5_cat_1(D) &  (v6_cat_1(D) & l1_cat_1(D)) ) ) ) ) ) )  &  (m2_cat_1(E, B, D) & m2_cat_1(F, C, D)) ) ) )  =>  (r2_hidden(A, a_5_0_commacat(B, C, D, E, F)) <=>  (? [G, H, I] :  ( (m1_subset_1(G, u1_struct_0(B)) &  (m1_subset_1(H, u1_struct_0(C)) & m1_subset_1(I, u4_struct_0(D))) )  &  (A=k1_domain_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u4_struct_0(D), k1_domain_1(u1_struct_0(B), u1_struct_0(C), G, H), I) & r2_tarski(I, k2_cat_1(D, k8_cat_1(B, D, E, G), k8_cat_1(C, D, F, H)))) ) ) ) ) ) ).
fof(fraenkel_a_5_1_commacat, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_cat_1(D) &  (v3_cat_1(D) &  (v4_cat_1(D) &  (v5_cat_1(D) &  (v6_cat_1(D) & l1_cat_1(D)) ) ) ) ) ) )  &  (m2_cat_1(E, B, D) & m2_cat_1(F, C, D)) ) ) )  =>  (r2_hidden(A, a_5_1_commacat(B, C, D, E, F)) <=>  (? [G, H, I, J] :  ( (m1_subset_1(G, u4_struct_0(B)) &  (m1_subset_1(H, u4_struct_0(C)) &  (m2_subset_1(I, k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u4_struct_0(D)), k1_commacat(B, C, D, E, F)) & m2_subset_1(J, k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u4_struct_0(D)), k1_commacat(B, C, D, E, F))) ) )  &  (A=k1_domain_1(k2_zfmisc_1(k1_commacat(B, C, D, E, F), k1_commacat(B, C, D, E, F)), k2_zfmisc_1(u4_struct_0(B), u4_struct_0(C)), k1_domain_1(k1_commacat(B, C, D, E, F), k1_commacat(B, C, D, E, F), I, J), k1_domain_1(u4_struct_0(B), u4_struct_0(C), G, H)) &  (k3_graph_1(B, G)=k14_domain_1(u1_struct_0(B), u1_struct_0(C), u4_struct_0(D), I) &  (k4_graph_1(B, G)=k14_domain_1(u1_struct_0(B), u1_struct_0(C), u4_struct_0(D), J) &  (k3_graph_1(C, H)=k15_domain_1(u1_struct_0(B), u1_struct_0(C), u4_struct_0(D), I) &  (k4_graph_1(C, H)=k15_domain_1(u1_struct_0(B), u1_struct_0(C), u4_struct_0(D), J) & k1_cat_1(D, k3_funct_2(u4_struct_0(B), u4_struct_0(D), E, G), k3_domain_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u4_struct_0(D), J))=k1_cat_1(D, k3_domain_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u4_struct_0(D), I), k3_funct_2(u4_struct_0(C), u4_struct_0(D), F, H))) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_5_2_commacat, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_cat_1(D) &  (v3_cat_1(D) &  (v4_cat_1(D) &  (v5_cat_1(D) &  (v6_cat_1(D) & l1_cat_1(D)) ) ) ) ) ) )  &  (m2_cat_1(E, B, D) & m2_cat_1(F, C, D)) ) ) )  =>  (r2_hidden(A, a_5_2_commacat(B, C, D, E, F)) <=>  (? [G, H] :  ( (m2_subset_1(G, k2_zfmisc_1(k8_mcart_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u4_struct_0(D)), k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u4_struct_0(D)), k1_commacat(B, C, D, E, F), k1_commacat(B, C, D, E, F)), k2_zfmisc_1(u4_struct_0(B), u4_struct_0(C))), k2_commacat(B, C, D, E, F)) & m2_subset_1(H, k2_zfmisc_1(k8_mcart_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u4_struct_0(D)), k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)), u4_struct_0(D)), k1_commacat(B, C, D, E, F), k1_commacat(B, C, D, E, F)), k2_zfmisc_1(u4_struct_0(B), u4_struct_0(C))), k2_commacat(B, C, D, E, F)))  &  (A=k1_domain_1(k2_commacat(B, C, D, E, F), k2_commacat(B, C, D, E, F), G, H) & k3_commacat(B, C, D, E, F, G)=k4_commacat(B, C, D, E, F, H)) ) ) ) ) ) ).
fof(cc1_compact1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_xboole_0(B) => v2_compact1(B, A)) ) ) ) ) ).
fof(rc1_compact1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v2_compact1(B, A)) ) ) ) ).
fof(fc1_compact1, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  &  (v2_compact1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v2_compts_1(k2_pre_topc(A, B), A)) ) ).
fof(cc2_compact1, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v6_waybel_3(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v5_compact1(A)) ) ) ) ) ).
fof(cc3_compact1, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v9_pre_topc(A) & v5_compact1(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v9_pre_topc(A) & v6_waybel_3(A)) ) ) ) ) ) ).
fof(cc4_compact1, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v3_compact1(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v4_compact1(A)) ) ) ) ) ).
fof(cc5_compact1, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v4_compact1(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v3_compact1(A)) ) ) ) ) ).
fof(cc6_compact1, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v3_compact1(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v5_compact1(A)) ) ) ) ) ).
fof(cc7_compact1, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v8_pre_topc(A) & v5_compact1(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v8_pre_topc(A) & v3_compact1(A)) ) ) ) ) ) ).
fof(cc8_compact1, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v1_compts_1(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v5_compact1(A)) ) ) ) ) ).
fof(cc9_compact1, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v1_tdlat_3(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v5_compact1(A)) ) ) ) ) ).
fof(rc2_compact1, axiom,  (? [A] :  (l1_pre_topc(A) &  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v1_tdlat_3(A)) ) ) ) ).
fof(fc2_compact1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v5_compact1(A) & l1_pre_topc(A)) ) )  &  ( ~ (v1_xboole_0(B))  &  (v4_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v1_pre_topc(k1_pre_topc(A, B)) & v5_compact1(k1_pre_topc(A, B))) ) ) ).
fof(fc3_compact1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v9_pre_topc(A) &  (v5_compact1(A) & l1_pre_topc(A)) ) ) )  &  ( ~ (v1_xboole_0(B))  &  (v3_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v1_pre_topc(k1_pre_topc(A, B)) & v5_compact1(k1_pre_topc(A, B))) ) ) ).
fof(cc10_compact1, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) =>  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v7_compact1(C, A, B)) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v6_compact1(C, A, B)) ) ) ) ) ) ) ).
fof(fc4_compact1, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( ~ (v2_struct_0(k1_compact1(A)))  & v1_pre_topc(k1_compact1(A))) ) ) ).
fof(fc5_compact1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (v1_pre_topc(k1_compact1(A)) & v2_pre_topc(k1_compact1(A))) ) ) ).
fof(fc6_compact1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (v1_pre_topc(k1_compact1(A)) & v1_compts_1(k1_compact1(A))) ) ) ).
fof(d1_compact1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (v1_compact1(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(C, B) => v2_compts_1(C, A)) ) ) ) ) ) ) ) ).
fof(d2_compact1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_compact1(B, A) <=> v2_compts_1(k2_pre_topc(A, B), A)) ) ) ) ) ).
fof(d3_compact1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v6_waybel_3(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  (m1_yellow13(C, A, B) & v1_compact1(C, A)) ) ) ) ) ) ) ).
fof(d4_compact1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v3_compact1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  (m1_connsp_2(C, A, B) & v2_compact1(C, A)) ) ) ) ) ) ) ).
fof(d5_compact1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v4_compact1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  (m1_connsp_2(C, A, B) &  (v4_pre_topc(C, A) & v2_compts_1(C, A)) ) ) ) ) ) ) ) ).
fof(d6_compact1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v5_compact1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  (m1_connsp_2(C, A, B) & v2_compts_1(C, A)) ) ) ) ) ) ) ).
fof(t1_compact1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v8_pre_topc(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ( (v1_tex_3(k1_pre_topc(A, B), A) & v5_compact1(k1_pre_topc(A, B)))  => v1_tsep_1(k1_pre_topc(A, B), A)) ) ) ) ) ).
fof(t2_compact1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(k2_struct_0(A), k2_struct_0(B)) => k7_relset_1(u1_struct_0(A), u1_struct_0(B), k1_yellow_9(B, A), C)=C) ) ) ) ) ) ) ).
fof(d7_compact1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v6_compact1(C, A, B) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(k1_pre_topc(B, k2_relset_1(u1_struct_0(B), C)))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_pre_topc(B, k2_relset_1(u1_struct_0(B), C))))))) )  &  (D=C & v3_tops_2(D, A, k1_pre_topc(B, k2_relset_1(u1_struct_0(B), C)))) ) ) ) ) ) ) ) ) ) ).
fof(t3_compact1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (r1_tarski(k2_struct_0(A), k2_struct_0(B)) =>  ( (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  ~ ( (C=k2_struct_0(A) & u1_pre_topc(k1_pre_topc(B, C))=u1_pre_topc(A)) ) ) )  | v6_compact1(k1_yellow_9(B, A), A, B)) ) ) ) ) ) ).
fof(d8_compact1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v7_compact1(C, A, B) <=>  (v6_compact1(C, A, B) &  (v1_compts_1(B) & v1_tops_1(k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, k2_struct_0(A)), B)) ) ) ) ) ) ) ) ) ).
fof(t4_compact1, axiom,  (! [A] :  (l1_pre_topc(A) => r1_tarski(k2_struct_0(A), k2_struct_0(k1_compact1(A)))) ) ).
fof(t5_compact1, axiom,  (! [A] :  (l1_pre_topc(A) => m1_pre_topc(A, k1_compact1(A))) ) ).
fof(t6_compact1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( (v8_pre_topc(A) & v5_compact1(A))  <=> v8_pre_topc(k1_compact1(A))) ) ) ).
fof(t7_compact1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( ~ ( ( ~ (v1_compts_1(A))  &  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_compact1(A)))) =>  ~ ( (B=k2_struct_0(A) & v1_tops_1(B, k1_compact1(A))) ) ) ) ) )  &  ~ ( ( (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_compact1(A)))) &  (B=k2_struct_0(A) & v1_tops_1(B, k1_compact1(A))) ) )  & v1_compts_1(A)) ) ) ) ) ).
fof(t8_compact1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( ~ (v1_compts_1(A))  => v7_compact1(k1_yellow_9(k1_compact1(A), A), A, k1_compact1(A))) ) ) ).
fof(dt_k1_compact1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v1_pre_topc(k1_compact1(A)) & l1_pre_topc(k1_compact1(A))) ) ) ).
fof(d9_compact1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  ( (v1_pre_topc(B) & l1_pre_topc(B))  =>  (B=k1_compact1(A) <=>  (u1_struct_0(B)=k1_ordinal1(k2_struct_0(A)) & u1_pre_topc(B)=k2_xboole_0(u1_pre_topc(A), a_1_0_compact1(A))) ) ) ) ) ) ).
fof(fraenkel_a_1_0_compact1, axiom,  (! [A, B] :  (l1_pre_topc(B) =>  (r2_hidden(A, a_1_0_compact1(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) &  (A=k2_xboole_0(C, k6_domain_1(k1_zfmisc_1(u1_struct_0(B)), k2_struct_0(B))) &  (v3_pre_topc(C, B) & v2_compts_1(k3_subset_1(u1_struct_0(B), C), B)) ) ) ) ) ) ) ).
fof(rc1_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) & l1_metric_1(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A))))) &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k9_setfam_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & v1_compl_sp(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_compl_sp, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) & l1_metric_1(A)) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) ) )  =>  (v1_funct_1(k1_compl_sp(A, B)) &  (v1_funct_2(k1_compl_sp(A, B), k4_ordinal1, k1_numbers) & v3_valued_0(k1_compl_sp(A, B))) ) ) ) ).
fof(cc1_compl_sp, axiom,  (! [A] :  (l1_metric_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_xboole_0(B) => v2_compl_sp(B, A)) ) ) ) ) ).
fof(cc2_compl_sp, axiom,  (! [A] :  (l1_metric_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_xboole_0(B) => v3_compl_sp(B, A)) ) ) ) ) ).
fof(rc2_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  & v2_compl_sp(B, A)) ) ) ) ) ).
fof(rc3_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  & v3_compl_sp(B, A)) ) ) ) ) ).
fof(rc4_compl_sp, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A))))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k9_setfam_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & v4_compl_sp(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc5_compl_sp, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A))))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k9_setfam_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & v5_compl_sp(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc6_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A))))) &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k9_setfam_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & v4_compl_sp(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc7_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A))))) &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k9_setfam_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & v5_compl_sp(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc8_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A))))) &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k9_setfam_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) &  (v1_compl_sp(B, A) & v6_compl_sp(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc9_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A))))) &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k9_setfam_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) &  (v1_compl_sp(B, A) & v7_compl_sp(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc2_compl_sp, axiom,  (! [A, B, C] :  ( (l1_metric_1(A) & m1_subset_1(B, u1_struct_0(A)))  =>  ( ~ (v2_struct_0(k3_compl_sp(A, B, C)))  & v1_metric_1(k3_compl_sp(A, B, C))) ) ) ).
fof(fc3_compl_sp, axiom,  (! [A, B, C] :  ( ( (v6_metric_1(A) & l1_metric_1(A))  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_metric_1(k3_compl_sp(A, B, C)) & v6_metric_1(k3_compl_sp(A, B, C))) ) ) ).
fof(fc4_compl_sp, axiom,  (! [A, B, C] :  ( ( (v8_metric_1(A) & l1_metric_1(A))  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_metric_1(k3_compl_sp(A, B, C)) & v8_metric_1(k3_compl_sp(A, B, C))) ) ) ).
fof(fc5_compl_sp, axiom,  (! [A, B, C] :  ( ( (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_metric_1(k3_compl_sp(A, B, C)) & v9_metric_1(k3_compl_sp(A, B, C))) ) ) ).
fof(fc6_compl_sp, axiom,  (! [A, B, C] :  ( ( (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_metric_1(k3_compl_sp(A, B, C)) & v7_metric_1(k3_compl_sp(A, B, C))) ) ) ).
fof(d1_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) )  =>  (v1_compl_sp(B, A) <=>  (! [C] :  (v7_ordinal1(C) => v6_tbsp_1(k8_nat_1(k9_setfam_1(u1_struct_0(A)), B, C), A)) ) ) ) ) ) ) ).
fof(d2_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) & l1_metric_1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (C=k1_compl_sp(A, B) <=>  (! [D] :  (v7_ordinal1(D) => k8_nat_1(k1_numbers, C, D)=k2_tbsp_1(A, k8_nat_1(k9_setfam_1(u1_struct_0(A)), B, D))) ) ) ) ) ) ) ) ) ).
fof(t1_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) & l1_metric_1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) &  (v1_compl_sp(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) ) )  => v2_seq_2(k1_compl_sp(A, B))) ) ) ) ).
fof(t2_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) & l1_metric_1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) &  (v1_compl_sp(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) ) )  =>  (v2_prob_1(B) =>  (v1_seq_2(k1_compl_sp(A, B)) & v8_valued_0(k1_compl_sp(A, B))) ) ) ) ) ) ).
fof(t3_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) & l1_metric_1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) &  (v1_compl_sp(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) ) )  =>  (v3_prob_1(B) => v7_valued_0(k1_compl_sp(A, B))) ) ) ) ) ).
fof(t4_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) & l1_metric_1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) &  (v1_compl_sp(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) ) )  =>  ( (v2_prob_1(B) & k1_seq_2(k1_compl_sp(A, B))=k5_numbers)  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (! [D] :  (v7_ordinal1(D) => r2_tarski(k8_nat_1(u1_struct_0(A), C, D), k8_nat_1(k9_setfam_1(u1_struct_0(A)), B, D))) )  => v3_tbsp_1(C, A)) ) ) ) ) ) ) ) ).
fof(t5_compl_sp, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (r1_xxreal_0(k5_numbers, A) => r1_xxreal_0(k2_tbsp_1(B, k9_metric_1(B, C, A)), k3_xcmplx_0(2, A))) ) ) ) ) ) ) ).
fof(d3_compl_sp, axiom,  (! [A] :  (l1_metric_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_compl_sp(B, A) <=> r2_tarski(B, k2_pcomps_1(A))) ) ) ) ) ).
fof(d4_compl_sp, axiom,  (! [A] :  (l1_metric_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_compl_sp(B, A) <=> v2_compl_sp(k3_subset_1(u1_struct_0(A), B), A)) ) ) ) ) ).
fof(t6_compl_sp, axiom,  (! [A] :  (l1_metric_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) =>  (C=B =>  ( (v2_compl_sp(B, A) => v3_pre_topc(C, k3_pcomps_1(A)))  &  ( (v3_pre_topc(C, k3_pcomps_1(A)) => v2_compl_sp(B, A))  &  ( (v3_compl_sp(B, A) => v4_pre_topc(C, k3_pcomps_1(A)))  &  (v4_pre_topc(C, k3_pcomps_1(A)) => v3_compl_sp(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_compl_sp, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) )  =>  (v4_compl_sp(B, A) <=>  (! [C] :  (v7_ordinal1(C) => v3_pre_topc(k8_nat_1(k9_setfam_1(u1_struct_0(A)), B, C), A)) ) ) ) ) ) ) ).
fof(d6_compl_sp, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) )  =>  (v5_compl_sp(B, A) <=>  (! [C] :  (v7_ordinal1(C) => v4_pre_topc(k8_nat_1(k9_setfam_1(u1_struct_0(A)), B, C), A)) ) ) ) ) ) ) ).
fof(d7_compl_sp, axiom,  (! [A] :  (l1_metric_1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) )  =>  (v6_compl_sp(B, A) <=>  (! [C] :  (v7_ordinal1(C) => v2_compl_sp(k8_nat_1(k9_setfam_1(u1_struct_0(A)), B, C), A)) ) ) ) ) ) ) ).
fof(d8_compl_sp, axiom,  (! [A] :  (l1_metric_1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) )  =>  (v7_compl_sp(B, A) <=>  (! [C] :  (v7_ordinal1(C) => v3_compl_sp(k8_nat_1(k9_setfam_1(u1_struct_0(A)), B, C), A)) ) ) ) ) ) ) ).
fof(t7_compl_sp, axiom,  (! [A] :  (l1_metric_1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(u1_struct_0(k3_pcomps_1(A)))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k3_pcomps_1(A))))))) )  =>  (r1_funct_2(k4_ordinal1, k9_setfam_1(u1_struct_0(k3_pcomps_1(A))), k4_ordinal1, k9_setfam_1(u1_struct_0(A)), C, B) =>  ( (v6_compl_sp(B, A) => v4_compl_sp(C, k3_pcomps_1(A)))  &  ( (v4_compl_sp(C, k3_pcomps_1(A)) => v6_compl_sp(B, A))  &  ( (v7_compl_sp(B, A) => v5_compl_sp(C, k3_pcomps_1(A)))  &  (v5_compl_sp(C, k3_pcomps_1(A)) => v7_compl_sp(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (v6_tbsp_1(B, A) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) =>  ( (B=D & C=k2_pre_topc(k3_pcomps_1(A), D))  =>  (v6_tbsp_1(C, A) & k2_tbsp_1(A, B)=k2_tbsp_1(A, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (v4_tbsp_1(A) <=>  (! [B] :  ( (v2_relat_1(B) &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) &  (v1_compl_sp(B, A) &  (v7_compl_sp(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) ) ) ) )  =>  ~ ( (v2_prob_1(B) &  (k1_seq_2(k1_compl_sp(A, B))=k5_numbers & v1_xboole_0(k2_kurato_0(u1_struct_0(A), B))) ) ) ) ) ) ) ) ).
fof(t11_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v2_relat_1(B) &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) ) )  =>  (v2_prob_1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (C=k2_relset_1(k9_setfam_1(u1_struct_0(A)), B) => v3_finset_1(C)) ) ) ) ) ) ) ) ).
fof(t12_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) =>  (C=k2_relset_1(k9_setfam_1(u1_struct_0(A)), B) =>  ( (v6_compl_sp(B, A) => v1_tops_2(C, k3_pcomps_1(A)))  &  (v7_compl_sp(B, A) => v2_tops_2(C, k3_pcomps_1(A))) ) ) ) ) ) ) ) ) ).
fof(t14_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (v4_tbsp_1(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) =>  ~ ( (v2_tops_2(B, k3_pcomps_1(A)) &  (v3_finset_1(B) &  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_tarski(D, B) &  (v6_tbsp_1(D, A) &  ~ (r1_xxreal_0(C, k2_tbsp_1(A, D))) ) ) ) ) ) ) ) ) )  & v1_xboole_0(k6_setfam_1(u1_struct_0(k3_pcomps_1(A)), B))) ) ) ) ) ) ) ) ) ).
fof(t15_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k1_topmetr(A, B)))) =>  (C=D =>  (v6_tbsp_1(D, k1_topmetr(A, B)) <=> v6_tbsp_1(C, A)) ) ) ) ) ) ) ) ) ) ).
fof(t16_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k1_topmetr(A, B)))) =>  ( (C=D & v6_tbsp_1(C, A))  => r1_xxreal_0(k2_tbsp_1(k1_topmetr(A, B), D), k2_tbsp_1(A, C))) ) ) ) ) ) ) ) ) ).
fof(t17_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(k1_topmetr(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_topmetr(A, B)))))) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ) ) ) ) ).
fof(t18_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(k1_topmetr(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_topmetr(A, B)))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (r1_funct_2(k4_ordinal1, u1_struct_0(k1_topmetr(A, B)), k4_ordinal1, u1_struct_0(A), C, D) =>  (v3_tbsp_1(D, A) <=> v3_tbsp_1(C, k1_topmetr(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(t19_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (v4_tbsp_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) =>  (B=C =>  (v4_tbsp_1(k1_topmetr(A, B)) <=> v4_pre_topc(C, k3_pcomps_1(A))) ) ) ) ) ) ) ) ) ).
fof(d9_compl_sp, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v8_compl_sp(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ~ ( (m1_setfam_1(B, u1_struct_0(A)) &  (v1_tops_2(B, A) &  (v4_card_3(B) &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ~ ( (r1_tarski(C, B) &  (m1_setfam_1(C, u1_struct_0(A)) & v1_finset_1(C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_compl_sp, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v1_compts_1(A) => v8_compl_sp(A)) ) ) ).
fof(t21_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v8_compl_sp(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ~ ( (v3_finset_1(B) &  (v2_tops_2(B, A) &  (v4_card_3(B) & k6_setfam_1(u1_struct_0(A), B)=k1_xboole_0) ) ) ) ) ) ) ) ) ).
fof(t22_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v8_compl_sp(A) <=>  (! [B] :  ( (v2_relat_1(B) &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) &  (v5_compl_sp(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) ) ) )  =>  ~ ( (v2_prob_1(B) & k2_kurato_0(u1_struct_0(A), B)=k1_xboole_0) ) ) ) ) ) ) ).
fof(t25_compl_sp, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (v2_prob_1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  =>  ~ ( ( (! [D] :  (v7_ordinal1(D) => r2_tarski(k8_nat_1(A, C, D), k8_nat_1(k9_setfam_1(A), B, D))) )  &  (v1_finset_1(k2_relset_1(A, C)) & v1_xboole_0(k2_kurato_0(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(t26_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v8_compl_sp(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ( (v1_pcomps_1(B, A) & v1_setfam_1(B))  => v1_finset_1(B)) ) ) ) ) ) ).
fof(t27_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v8_compl_sp(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ( (v1_pcomps_1(B, A) &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(C, B) => k1_card_1(C)=1) ) ) )  => v1_finset_1(B)) ) ) ) ) ) ).
fof(t28_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v7_pre_topc(A) & l1_pre_topc(A)) ) )  =>  (v8_compl_sp(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( ~ (v1_finset_1(B))  & v1_xboole_0(k2_topgen_1(A, B))) ) ) ) ) ) ) ).
fof(t29_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v7_pre_topc(A) & l1_pre_topc(A)) ) )  =>  (v8_compl_sp(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( ~ (v1_finset_1(B))  &  (v4_card_3(B) & v1_xboole_0(k2_topgen_1(A, B))) ) ) ) ) ) ) ) ).
fof(t30_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) & l1_metric_1(A)) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r2_tarski(D, C) & r2_tarski(E, C))  =>  (D=E | r1_xxreal_0(B, k3_metric_1(A, D, E))) ) ) ) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (r2_tarski(E, C) & r2_tarski(D, k8_metric_1(A, E, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  (v1_tbsp_1(A) <=>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r2_tarski(D, C) & r2_tarski(E, C))  =>  (D=E | r1_xxreal_0(B, k3_metric_1(A, D, E))) ) ) ) ) )  =>  (r1_xxreal_0(B, k5_numbers) | v1_finset_1(C)) ) ) ) ) ) ) ) ) ).
fof(t32_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  (v8_compl_sp(k3_pcomps_1(A)) => v1_tbsp_1(A)) ) ) ).
fof(t33_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (v1_tbsp_1(A) => v5_waybel23(k3_pcomps_1(A))) ) ) ).
fof(t34_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v5_waybel23(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ~ ( (m1_setfam_1(B, u1_struct_0(A)) &  (v1_tops_2(B, A) &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ~ ( (r1_tarski(C, B) &  (m1_setfam_1(C, u1_struct_0(A)) & v4_card_3(C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (v1_compts_1(k3_pcomps_1(A)) <=> v8_compl_sp(k3_pcomps_1(A))) ) ) ).
fof(t36_compl_sp, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (v1_finset_1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  ~ ( ( ~ (v1_finset_1(C))  &  (r1_tarski(C, k5_setfam_1(A, B)) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  ~ ( (r2_tarski(D, B) &  ~ (v1_finset_1(k9_subset_1(A, D, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (v1_compts_1(k3_pcomps_1(A)) <=>  (v1_tbsp_1(A) & v4_tbsp_1(A)) ) ) ) ).
fof(t38_compl_sp, axiom,  (! [A] :  (! [B] :  (l1_metric_1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (r2_tarski(D, k2_xboole_0(k2_zfmisc_1(A, k6_subset_1(u1_struct_0(B), k1_tarski(C))), k1_tarski(k4_tarski(A, C)))) <=>  (? [E] :  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (D=k4_tarski(E, F) &  ( (r2_tarski(E, A) &  ~ (F=C) )  |  (E=A & F=C) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_compl_sp, axiom,  (! [A] :  (l1_metric_1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k2_xboole_0(k2_zfmisc_1(C, k6_subset_1(u1_struct_0(A), k1_tarski(B))), k1_tarski(k4_tarski(C, B))), k2_xboole_0(k2_zfmisc_1(C, k6_subset_1(u1_struct_0(A), k1_tarski(B))), k1_tarski(k4_tarski(C, B)))), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_xboole_0(k2_zfmisc_1(C, k6_subset_1(u1_struct_0(A), k1_tarski(B))), k1_tarski(k4_tarski(C, B))), k2_xboole_0(k2_zfmisc_1(C, k6_subset_1(u1_struct_0(A), k1_tarski(B))), k1_tarski(k4_tarski(C, B)))), k1_numbers)))) )  =>  (D=k2_compl_sp(A, B, C) <=>  (! [E] :  (m1_subset_1(E, k2_xboole_0(k2_zfmisc_1(C, k6_subset_1(u1_struct_0(A), k1_tarski(B))), k1_tarski(k4_tarski(C, B)))) =>  (! [F] :  (m1_subset_1(F, k2_xboole_0(k2_zfmisc_1(C, k6_subset_1(u1_struct_0(A), k1_tarski(B))), k1_tarski(k4_tarski(C, B)))) =>  (! [G] :  (! [H] :  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  ( (E=k4_tarski(G, I) & F=k4_tarski(H, J))  =>  ( (G=H => k2_binop_1(k2_xboole_0(k2_zfmisc_1(C, k6_subset_1(u1_struct_0(A), k1_tarski(B))), k1_tarski(k4_tarski(C, B))), k2_xboole_0(k2_zfmisc_1(C, k6_subset_1(u1_struct_0(A), k1_tarski(B))), k1_tarski(k4_tarski(C, B))), k1_numbers, D, E, F)=k1_metric_1(A, I, J))  &  ( ~ (G=H)  => k2_binop_1(k2_xboole_0(k2_zfmisc_1(C, k6_subset_1(u1_struct_0(A), k1_tarski(B))), k1_tarski(k4_tarski(C, B))), k2_xboole_0(k2_zfmisc_1(C, k6_subset_1(u1_struct_0(A), k1_tarski(B))), k1_tarski(k4_tarski(C, B))), k1_numbers, D, E, F)=k2_xcmplx_0(k1_metric_1(A, I, B), k1_metric_1(A, B, J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_compl_sp, axiom,  (! [A] :  (l1_metric_1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  ( (v2_metric_1(k2_compl_sp(A, B, C), k2_xboole_0(k2_zfmisc_1(C, k6_subset_1(u1_struct_0(A), k1_tarski(B))), k1_tarski(k4_tarski(C, B)))) => v6_metric_1(A))  &  ( (v4_metric_1(k2_compl_sp(A, B, C), k2_xboole_0(k2_zfmisc_1(C, k6_subset_1(u1_struct_0(A), k1_tarski(B))), k1_tarski(k4_tarski(C, B)))) => v8_metric_1(A))  &  ( ( (v5_metric_1(k2_compl_sp(A, B, C), k2_xboole_0(k2_zfmisc_1(C, k6_subset_1(u1_struct_0(A), k1_tarski(B))), k1_tarski(k4_tarski(C, B)))) & v2_metric_1(k2_compl_sp(A, B, C), k2_xboole_0(k2_zfmisc_1(C, k6_subset_1(u1_struct_0(A), k1_tarski(B))), k1_tarski(k4_tarski(C, B)))))  => v9_metric_1(A))  &  ( (v3_metric_1(k2_compl_sp(A, B, C), k2_xboole_0(k2_zfmisc_1(C, k6_subset_1(u1_struct_0(A), k1_tarski(B))), k1_tarski(k4_tarski(C, B)))) & v2_metric_1(k2_compl_sp(A, B, C), k2_xboole_0(k2_zfmisc_1(C, k6_subset_1(u1_struct_0(A), k1_tarski(B))), k1_tarski(k4_tarski(C, B)))))  => v7_metric_1(A)) ) ) ) ) ) ) ) ) ) ).
fof(d11_compl_sp, axiom,  (! [A] :  (l1_metric_1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] : k3_compl_sp(A, B, C)=g1_metric_1(k2_xboole_0(k2_zfmisc_1(C, k6_subset_1(u1_struct_0(A), k1_tarski(B))), k1_tarski(k4_tarski(C, B))), k2_compl_sp(A, B, C))) ) ) ) ) ).
fof(t40_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (v4_tbsp_1(k3_compl_sp(A, B, C)) => v4_tbsp_1(A)) ) ) ) ) ) ) ).
fof(t41_compl_sp, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(k3_compl_sp(B, C, A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k3_compl_sp(B, C, A)))))) )  =>  ~ ( (v3_tbsp_1(D, k3_compl_sp(B, C, A)) &  ( (? [E] :  (m1_subset_1(E, u1_struct_0(k3_compl_sp(B, C, A))) &  (E=k4_tarski(A, C) &  (? [F] :  (v1_xreal_0(F) &  ( ~ (r1_xxreal_0(F, k5_numbers))  &  (! [G] :  (v7_ordinal1(G) =>  (? [H] :  (v7_ordinal1(H) &  (r1_xxreal_0(G, H) & r1_xxreal_0(F, k3_metric_1(k3_compl_sp(B, C, A), k8_nat_1(u1_struct_0(k3_compl_sp(B, C, A)), D, H), E))) ) ) ) ) ) ) ) ) ) )  &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (? [G] :  (v7_ordinal1(G) &  (r1_xxreal_0(E, G) &  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  ~ (k8_nat_1(u1_struct_0(k3_compl_sp(B, C, A)), D, G)=k4_tarski(F, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_compl_sp, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (v4_tbsp_1(B) => v4_tbsp_1(k3_compl_sp(B, C, A))) ) ) ) ) ) ).
fof(t43_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  (v4_tbsp_1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_metric_1(A, B, C)=k5_numbers) ) )  =>  (! [C] :  ( ~ (v1_finset_1(C))  =>  (v4_tbsp_1(k3_compl_sp(A, B, C)) &  (? [D] :  ( (v2_relat_1(D) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(u1_struct_0(k3_compl_sp(A, B, C)))) &  (v1_compl_sp(D, k3_compl_sp(A, B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k3_compl_sp(A, B, C))))))) ) ) )  &  (v7_compl_sp(D, k3_compl_sp(A, B, C)) &  (v2_prob_1(D) & v1_xboole_0(k2_kurato_0(u1_struct_0(k3_compl_sp(A, B, C)), D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_compl_sp, axiom,  (? [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  &  (v4_tbsp_1(A) &  (? [B] :  ( (v2_relat_1(B) &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) &  (v1_compl_sp(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) ) ) )  &  (v7_compl_sp(B, A) &  (v2_prob_1(B) & v1_xboole_0(k2_kurato_0(u1_struct_0(A), B))) ) ) ) ) ) ) ).
fof(s1_compl_sp, axiom,  ( ( (! [A] :  (m1_subset_1(A, f1_s1_compl_sp) =>  (! [B] :  (m1_subset_1(B, f1_s1_compl_sp) =>  (p1_s1_compl_sp(A, B) <=> p1_s1_compl_sp(B, A)) ) ) ) )  &  (! [A] :  (m1_subset_1(A, f1_s1_compl_sp) =>  ~ (p1_s1_compl_sp(A, A)) ) ) )  =>  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(f1_s1_compl_sp)) &  ( (! [B] :  (m1_subset_1(B, f1_s1_compl_sp) =>  (! [C] :  (m1_subset_1(C, f1_s1_compl_sp) =>  ( (r2_tarski(B, A) & r2_tarski(C, A))  =>  (B=C | p1_s1_compl_sp(B, C)) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, f1_s1_compl_sp) =>  (? [C] :  (m1_subset_1(C, f1_s1_compl_sp) &  (r2_tarski(C, A) &  ~ (p1_s1_compl_sp(B, C)) ) ) ) ) ) ) ) ) ) ).
fof(s2_compl_sp, axiom,  ( ( (! [A] :  (m1_subset_1(A, f1_s2_compl_sp) =>  (! [B] :  (m1_subset_1(B, f1_s2_compl_sp) =>  (p1_s2_compl_sp(A, B) <=> p1_s2_compl_sp(B, A)) ) ) ) )  &  (! [A] :  (m1_subset_1(A, f1_s2_compl_sp) =>  ~ (p1_s2_compl_sp(A, A)) ) ) )  =>  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(f1_s2_compl_sp)) &  ( (! [B] :  (m1_subset_1(B, f1_s2_compl_sp) =>  (! [C] :  (m1_subset_1(C, f1_s2_compl_sp) =>  ( (r2_tarski(B, A) & r2_tarski(C, A))  =>  (B=C | p1_s2_compl_sp(B, C)) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, f1_s2_compl_sp) =>  (? [C] :  (m1_subset_1(C, f1_s2_compl_sp) &  (r2_tarski(C, A) &  ~ (p1_s2_compl_sp(B, C)) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_compl_sp, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) & l1_metric_1(A)) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) ) )  =>  (v1_funct_1(k1_compl_sp(A, B)) &  (v1_funct_2(k1_compl_sp(A, B), k4_ordinal1, k1_numbers) & m1_subset_1(k1_compl_sp(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_f1_s1_compl_sp, axiom,  ~ (v1_xboole_0(f1_s1_compl_sp)) ).
fof(dt_f1_s2_compl_sp, axiom,  ~ (v1_xboole_0(f1_s2_compl_sp)) ).
fof(dt_k2_compl_sp, axiom,  (! [A, B, C] :  ( (l1_metric_1(A) & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k2_compl_sp(A, B, C)) &  (v1_funct_2(k2_compl_sp(A, B, C), k2_zfmisc_1(k2_xboole_0(k2_zfmisc_1(C, k6_subset_1(u1_struct_0(A), k1_tarski(B))), k1_tarski(k4_tarski(C, B))), k2_xboole_0(k2_zfmisc_1(C, k6_subset_1(u1_struct_0(A), k1_tarski(B))), k1_tarski(k4_tarski(C, B)))), k1_numbers) & m1_subset_1(k2_compl_sp(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_xboole_0(k2_zfmisc_1(C, k6_subset_1(u1_struct_0(A), k1_tarski(B))), k1_tarski(k4_tarski(C, B))), k2_xboole_0(k2_zfmisc_1(C, k6_subset_1(u1_struct_0(A), k1_tarski(B))), k1_tarski(k4_tarski(C, B)))), k1_numbers)))) ) ) ) ).
fof(dt_k3_compl_sp, axiom,  (! [A, B, C] :  ( (l1_metric_1(A) & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_metric_1(k3_compl_sp(A, B, C)) & l1_metric_1(k3_compl_sp(A, B, C))) ) ) ).
fof(t9_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (? [C] :  ( (v2_relat_1(C) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) &  (v7_compl_sp(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) ) ) )  &  (v2_prob_1(C) &  ( (v3_tbsp_1(B, A) =>  (v1_compl_sp(C, A) & k1_seq_2(k1_compl_sp(A, C))=k5_numbers) )  &  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) &  (E=a_3_0_compl_sp(A, B, D) & k8_nat_1(k9_setfam_1(u1_struct_0(A)), C, D)=k2_pre_topc(k3_pcomps_1(A), E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) )  =>  ~ ( (r1_tarski(k2_relset_1(k9_setfam_1(u1_struct_0(A)), C), B) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) )  =>  ~ ( (v2_prob_1(D) &  ( (v3_finset_1(B) => v2_relat_1(D))  &  ( (v1_tops_2(B, A) => v4_compl_sp(D, A))  &  ( (v2_tops_2(B, A) => v5_compl_sp(D, A))  &  (! [E] :  (v7_ordinal1(E) => k8_nat_1(k9_setfam_1(u1_struct_0(A)), D, E)=k1_setfam_1(a_3_1_compl_sp(A, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_compl_sp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) )  =>  ~ ( (r1_tarski(k2_relset_1(k9_setfam_1(u1_struct_0(A)), C), B) &  (v2_relat_1(C) &  (! [D] :  ( (v2_relat_1(D) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) &  (v5_compl_sp(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) ) ) )  =>  ~ ( (v2_prob_1(D) &  ( ( (v1_pcomps_1(B, A) & v2_funct_1(C))  => k2_kurato_0(u1_struct_0(A), D)=k1_xboole_0)  &  (! [E] :  (v7_ordinal1(E) =>  (? [F] :  (m1_subset_1(F, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) &  (k8_nat_1(k9_setfam_1(u1_struct_0(A)), D, E)=k2_pre_topc(A, k5_setfam_1(u1_struct_0(A), F)) & F=a_3_2_compl_sp(A, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_compl_sp, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  & v7_ordinal1(D)) )  =>  (r2_hidden(A, a_3_0_compl_sp(B, C, D)) <=>  (? [E] :  (v7_ordinal1(E) &  (A=k8_nat_1(u1_struct_0(B), C, E) & r1_xxreal_0(D, E)) ) ) ) ) ) ).
fof(fraenkel_a_3_1_compl_sp, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(u1_struct_0(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(B)))))) )  & v7_ordinal1(D)) )  =>  (r2_hidden(A, a_3_1_compl_sp(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k4_ordinal1) &  (A=k3_funct_2(k4_ordinal1, k9_setfam_1(u1_struct_0(B)), C, E) & r1_xxreal_0(E, D)) ) ) ) ) ) ).
fof(fraenkel_a_3_2_compl_sp, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(u1_struct_0(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(B)))))) )  & v7_ordinal1(D)) )  =>  (r2_hidden(A, a_3_2_compl_sp(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k4_ordinal1) &  (A=k3_funct_2(k4_ordinal1, k9_setfam_1(u1_struct_0(B)), C, E) & r1_xxreal_0(D, E)) ) ) ) ) ) ).
fof(fc1_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_xreal_0(k1_complex1(A))) ) ).
fof(fc2_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_xreal_0(k2_complex1(A))) ) ).
fof(fc3_complex1, axiom,  (! [A] :  (v1_xreal_0(A) => v8_ordinal1(k2_complex1(A))) ) ).
fof(rd1_complex1, axiom,  (! [A] :  (v1_xreal_0(A) => k8_complex1(A)=A) ) ).
fof(fc4_complex1, axiom,  (! [A] :  ( (v8_ordinal1(A) & v1_xcmplx_0(A))  =>  (v8_ordinal1(k9_complex1(A)) & v1_xreal_0(k9_complex1(A))) ) ) ).
fof(fc5_complex1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_xcmplx_0(A))  =>  ( ~ (v8_ordinal1(k9_complex1(A)))  & v1_xreal_0(k9_complex1(A))) ) ) ).
fof(fc6_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (v1_xreal_0(k9_complex1(A)) &  ~ (v3_xxreal_0(k9_complex1(A))) ) ) ) ).
fof(t1_complex1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (k2_xcmplx_0(k1_square_1(A), k1_square_1(B))=k5_numbers => A=k5_numbers) ) ) ) ) ).
fof(d1_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_xreal_0(A) =>  (B=k1_complex1(A) <=> B=A) )  &  ( ~ (v1_xreal_0(A))  =>  (B=k1_complex1(A) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, 2, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(2, k1_numbers)))) )  &  (A=C & B=k1_funct_1(C, k5_numbers)) ) ) ) ) ) ) ) ) ).
fof(d2_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_xreal_0(A) =>  (B=k2_complex1(A) <=> B=k5_numbers) )  &  ( ~ (v1_xreal_0(A))  =>  (B=k2_complex1(A) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, 2, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(2, k1_numbers)))) )  &  (A=C & B=k1_funct_1(C, 1)) ) ) ) ) ) ) ) ) ).
fof(t2_complex1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, 2, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(2, k1_numbers)))) )  =>  (? [B] :  (m1_subset_1(B, k1_numbers) &  (? [C] :  (m1_subset_1(C, k1_numbers) & r1_funct_2(2, k1_numbers, k2_tarski(k5_numbers, 1), k1_numbers, A, k7_funct_4(k1_numbers, k5_numbers, 1, B, C))) ) ) ) ) ) ).
fof(t3_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  ( (k3_complex1(A)=k3_complex1(B) & k4_complex1(A)=k4_complex1(B))  => A=B) ) ) ) ) ).
fof(d3_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (A=B <=>  (k3_complex1(A)=k3_complex1(B) & k4_complex1(A)=k4_complex1(B)) ) ) ) ) ) ).
fof(d4_complex1, axiom, k6_complex1=1).
fof(t4_complex1, axiom,  (k3_complex1(k5_numbers)=k5_numbers & k4_complex1(k5_numbers)=k5_numbers) ).
fof(t5_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (A=k5_numbers <=> k2_xcmplx_0(k1_square_1(k3_complex1(A)), k1_square_1(k4_complex1(A)))=k5_numbers) ) ) ).
fof(t6_complex1, axiom,  (k3_complex1(k6_complex1)=1 & k4_complex1(k6_complex1)=k5_numbers) ).
fof(t7_complex1, axiom,  (k3_complex1(k7_complex1)=k5_numbers & k4_complex1(k7_complex1)=1) ).
fof(t8_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (k3_complex1(k2_xcmplx_0(A, B))=k3_real_1(k3_complex1(A), k3_complex1(B)) & k4_complex1(k2_xcmplx_0(A, B))=k3_real_1(k4_complex1(A), k4_complex1(B))) ) ) ) ) ).
fof(t9_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (k3_complex1(k3_xcmplx_0(A, B))=k5_real_1(k4_real_1(k3_complex1(A), k3_complex1(B)), k4_real_1(k4_complex1(A), k4_complex1(B))) & k4_complex1(k3_xcmplx_0(A, B))=k3_real_1(k4_real_1(k3_complex1(A), k4_complex1(B)), k4_real_1(k3_complex1(B), k4_complex1(A)))) ) ) ) ) ).
fof(t10_complex1, axiom,  (! [A] :  (v1_xreal_0(A) => k3_complex1(k3_xcmplx_0(A, k7_complex1))=k5_numbers) ) ).
fof(t11_complex1, axiom,  (! [A] :  (v1_xreal_0(A) => k4_complex1(k3_xcmplx_0(A, k7_complex1))=A) ) ).
fof(t12_complex1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (k3_complex1(k2_xcmplx_0(A, k3_xcmplx_0(B, k7_complex1)))=A & k4_complex1(k2_xcmplx_0(A, k3_xcmplx_0(B, k7_complex1)))=B) ) ) ) ) ).
fof(t13_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => k2_xcmplx_0(k3_complex1(A), k3_xcmplx_0(k4_complex1(A), k7_complex1))=A) ) ).
fof(t14_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  ( (k4_complex1(A)=k5_numbers & k4_complex1(B)=k5_numbers)  =>  (k3_complex1(k3_xcmplx_0(A, B))=k4_real_1(k3_complex1(A), k3_complex1(B)) & k4_complex1(k3_xcmplx_0(A, B))=k5_numbers) ) ) ) ) ) ).
fof(t15_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  ( (k3_complex1(A)=k5_numbers & k3_complex1(B)=k5_numbers)  =>  (k3_complex1(k3_xcmplx_0(A, B))=k1_real_1(k4_real_1(k4_complex1(A), k4_complex1(B))) & k4_complex1(k3_xcmplx_0(A, B))=k5_numbers) ) ) ) ) ) ).
fof(t16_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (k3_complex1(k3_xcmplx_0(A, A))=k6_xcmplx_0(k1_square_1(k3_complex1(A)), k1_square_1(k4_complex1(A))) & k4_complex1(k3_xcmplx_0(A, A))=k3_xcmplx_0(2, k4_real_1(k3_complex1(A), k4_complex1(A)))) ) ) ).
fof(t17_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (k3_complex1(k4_xcmplx_0(A))=k1_real_1(k3_complex1(A)) & k4_complex1(k4_xcmplx_0(A))=k1_real_1(k4_complex1(A))) ) ) ).
fof(t18_complex1, axiom, k3_xcmplx_0(k7_complex1, k7_complex1)=k4_xcmplx_0(k6_complex1)).
fof(t19_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (k3_complex1(k6_xcmplx_0(A, B))=k5_real_1(k3_complex1(A), k3_complex1(B)) & k4_complex1(k6_xcmplx_0(A, B))=k5_real_1(k4_complex1(A), k4_complex1(B))) ) ) ) ) ).
fof(t20_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (k3_complex1(k5_xcmplx_0(A))=k7_xcmplx_0(k3_complex1(A), k2_xcmplx_0(k1_square_1(k3_complex1(A)), k1_square_1(k4_complex1(A)))) & k4_complex1(k5_xcmplx_0(A))=k7_xcmplx_0(k1_real_1(k4_complex1(A)), k2_xcmplx_0(k1_square_1(k3_complex1(A)), k1_square_1(k4_complex1(A))))) ) ) ).
fof(t21_complex1, axiom, k5_xcmplx_0(k7_complex1)=k4_xcmplx_0(k7_complex1)).
fof(t22_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (k4_complex1(A)=k5_numbers =>  (k3_complex1(A)=k5_numbers |  (k3_complex1(k5_xcmplx_0(A))=k2_real_1(k3_complex1(A)) & k4_complex1(k5_xcmplx_0(A))=k5_numbers) ) ) ) ) ).
fof(t23_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (k3_complex1(A)=k5_numbers =>  (k4_complex1(A)=k5_numbers |  (k3_complex1(k5_xcmplx_0(A))=k5_numbers & k4_complex1(k5_xcmplx_0(A))=k1_real_1(k2_real_1(k4_complex1(A)))) ) ) ) ) ).
fof(t24_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (k3_complex1(k7_xcmplx_0(A, B))=k7_xcmplx_0(k3_real_1(k4_real_1(k3_complex1(A), k3_complex1(B)), k4_real_1(k4_complex1(A), k4_complex1(B))), k2_xcmplx_0(k1_square_1(k3_complex1(B)), k1_square_1(k4_complex1(B)))) & k4_complex1(k7_xcmplx_0(A, B))=k7_xcmplx_0(k5_real_1(k4_real_1(k3_complex1(B), k4_complex1(A)), k4_real_1(k3_complex1(A), k4_complex1(B))), k2_xcmplx_0(k1_square_1(k3_complex1(B)), k1_square_1(k4_complex1(B))))) ) ) ) ) ).
fof(t25_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  ( (k4_complex1(A)=k5_numbers & k4_complex1(B)=k5_numbers)  =>  (k3_complex1(B)=k5_numbers |  (k3_complex1(k7_xcmplx_0(A, B))=k6_real_1(k3_complex1(A), k3_complex1(B)) & k4_complex1(k7_xcmplx_0(A, B))=k5_numbers) ) ) ) ) ) ) ).
fof(t26_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  ( (k3_complex1(A)=k5_numbers & k3_complex1(B)=k5_numbers)  =>  (k4_complex1(B)=k5_numbers |  (k3_complex1(k7_xcmplx_0(A, B))=k6_real_1(k4_complex1(A), k4_complex1(B)) & k4_complex1(k7_xcmplx_0(A, B))=k5_numbers) ) ) ) ) ) ) ).
fof(d11_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => k8_complex1(A)=k6_xcmplx_0(k3_complex1(A), k3_xcmplx_0(k4_complex1(A), k7_complex1))) ) ).
fof(t27_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (k3_complex1(k8_complex1(A))=k3_complex1(A) & k4_complex1(k8_complex1(A))=k1_real_1(k4_complex1(A))) ) ) ).
fof(t28_complex1, axiom, k8_complex1(k5_numbers)=k5_numbers).
fof(t29_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (k8_complex1(A)=k5_numbers => A=k5_numbers) ) ) ).
fof(t30_complex1, axiom, k8_complex1(k6_complex1)=k6_complex1).
fof(t31_complex1, axiom, k8_complex1(k7_complex1)=k4_xcmplx_0(k7_complex1)).
fof(t32_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k8_complex1(k2_xcmplx_0(A, B))=k2_xcmplx_0(k8_complex1(A), k8_complex1(B))) ) ) ) ).
fof(t33_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => k8_complex1(k4_xcmplx_0(A))=k4_xcmplx_0(k8_complex1(A))) ) ).
fof(t34_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k8_complex1(k6_xcmplx_0(A, B))=k6_xcmplx_0(k8_complex1(A), k8_complex1(B))) ) ) ) ).
fof(t35_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k8_complex1(k3_xcmplx_0(A, B))=k3_xcmplx_0(k8_complex1(A), k8_complex1(B))) ) ) ) ).
fof(t36_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => k8_complex1(k5_xcmplx_0(A))=k5_xcmplx_0(k8_complex1(A))) ) ).
fof(t37_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k8_complex1(k7_xcmplx_0(A, B))=k7_xcmplx_0(k8_complex1(A), k8_complex1(B))) ) ) ) ).
fof(t38_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (k4_complex1(A)=k5_numbers => k8_complex1(A)=A) ) ) ).
fof(t39_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (k3_complex1(A)=k5_numbers => k8_complex1(A)=k4_xcmplx_0(A)) ) ) ).
fof(t40_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (k3_complex1(k3_xcmplx_0(A, k8_complex1(A)))=k2_xcmplx_0(k1_square_1(k3_complex1(A)), k1_square_1(k4_complex1(A))) & k4_complex1(k3_xcmplx_0(A, k8_complex1(A)))=k5_numbers) ) ) ).
fof(t41_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (k3_complex1(k2_xcmplx_0(A, k8_complex1(A)))=k3_xcmplx_0(2, k3_complex1(A)) & k4_complex1(k2_xcmplx_0(A, k8_complex1(A)))=k5_numbers) ) ) ).
fof(t42_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (k3_complex1(k6_xcmplx_0(A, k8_complex1(A)))=k5_numbers & k4_complex1(k6_xcmplx_0(A, k8_complex1(A)))=k3_xcmplx_0(2, k4_complex1(A))) ) ) ).
fof(d12_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => k9_complex1(A)=k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(A)), k1_square_1(k4_complex1(A))))) ) ).
fof(t43_complex1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r1_xxreal_0(k5_numbers, A) => k9_complex1(A)=A) ) ) ).
fof(t44_complex1, axiom, k9_complex1(k5_numbers)=k5_numbers).
fof(t45_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (k9_complex1(A)=k5_numbers => A=k5_numbers) ) ) ).
fof(t46_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => r1_xxreal_0(k5_numbers, k9_complex1(A))) ) ).
fof(t47_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  ( ~ ( ( ~ (A=k5_numbers)  & r1_xxreal_0(k9_complex1(A), k5_numbers)) )  &  ~ ( ( ~ (r1_xxreal_0(k9_complex1(A), k5_numbers))  & A=k5_numbers) ) ) ) ) ).
fof(t48_complex1, axiom, k9_complex1(k6_complex1)=1).
fof(t49_complex1, axiom, k9_complex1(k7_complex1)=1).
fof(t50_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (k4_complex1(A)=k5_numbers => k9_complex1(A)=k9_complex1(k3_complex1(A))) ) ) ).
fof(t51_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (k3_complex1(A)=k5_numbers => k9_complex1(A)=k9_complex1(k4_complex1(A))) ) ) ).
fof(t52_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => k9_complex1(k4_xcmplx_0(A))=k9_complex1(A)) ) ).
fof(t53_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => k9_complex1(k8_complex1(A))=k9_complex1(A)) ) ).
fof(t54_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => r1_xxreal_0(k3_complex1(A), k9_complex1(A))) ) ).
fof(t55_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => r1_xxreal_0(k4_complex1(A), k9_complex1(A))) ) ).
fof(t56_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => r1_xxreal_0(k9_complex1(k2_xcmplx_0(A, B)), k2_xcmplx_0(k9_complex1(A), k9_complex1(B)))) ) ) ) ).
fof(t57_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => r1_xxreal_0(k9_complex1(k6_xcmplx_0(A, B)), k2_xcmplx_0(k9_complex1(A), k9_complex1(B)))) ) ) ) ).
fof(t58_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => r1_xxreal_0(k6_xcmplx_0(k9_complex1(A), k9_complex1(B)), k9_complex1(k2_xcmplx_0(A, B)))) ) ) ) ).
fof(t59_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => r1_xxreal_0(k6_xcmplx_0(k9_complex1(A), k9_complex1(B)), k9_complex1(k6_xcmplx_0(A, B)))) ) ) ) ).
fof(t60_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k9_complex1(k6_xcmplx_0(A, B))=k9_complex1(k6_xcmplx_0(B, A))) ) ) ) ).
fof(t61_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (k9_complex1(k6_xcmplx_0(A, B))=k5_numbers <=> A=B) ) ) ) ) ).
fof(t62_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  ( ~ ( ( ~ (A=B)  & r1_xxreal_0(k9_complex1(k6_xcmplx_0(A, B)), k5_numbers)) )  &  ~ ( ( ~ (r1_xxreal_0(k9_complex1(k6_xcmplx_0(A, B)), k5_numbers))  & A=B) ) ) ) ) ) ) ).
fof(t63_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => r1_xxreal_0(k9_complex1(k6_xcmplx_0(B, C)), k2_xcmplx_0(k9_complex1(k6_xcmplx_0(B, A)), k9_complex1(k6_xcmplx_0(A, C))))) ) ) ) ) ) ).
fof(t64_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k9_complex1(A), k9_complex1(B))), k9_complex1(k6_xcmplx_0(A, B)))) ) ) ) ).
fof(t65_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k9_complex1(k3_xcmplx_0(A, B))=k3_xcmplx_0(k9_complex1(A), k9_complex1(B))) ) ) ) ).
fof(t66_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => k9_complex1(k5_xcmplx_0(A))=k5_xcmplx_0(k9_complex1(A))) ) ).
fof(t67_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k7_xcmplx_0(k9_complex1(A), k9_complex1(B))=k9_complex1(k7_xcmplx_0(A, B))) ) ) ) ).
fof(t68_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => k9_complex1(k3_xcmplx_0(A, A))=k2_xcmplx_0(k1_square_1(k3_complex1(A)), k1_square_1(k4_complex1(A)))) ) ).
fof(t69_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => k9_complex1(k3_xcmplx_0(A, A))=k9_complex1(k3_xcmplx_0(A, k8_complex1(A)))) ) ).
fof(t70_complex1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r1_xxreal_0(A, k5_numbers) => k9_complex1(A)=k4_xcmplx_0(A)) ) ) ).
fof(t71_complex1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (k9_complex1(A)=A | k9_complex1(A)=k4_xcmplx_0(A)) ) ) ).
fof(t72_complex1, axiom,  (! [A] :  (v1_xreal_0(A) => k3_square_1(k1_square_1(A))=k9_complex1(A)) ) ).
fof(t73_complex1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k3_xxreal_0(A, B)=k7_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(A, B), k9_complex1(k6_xcmplx_0(A, B))), 2)) ) ) ) ).
fof(t74_complex1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k4_xxreal_0(A, B)=k7_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(A, B), k9_complex1(k6_xcmplx_0(A, B))), 2)) ) ) ) ).
fof(t75_complex1, axiom,  (! [A] :  (v1_xreal_0(A) => k1_square_1(k9_complex1(A))=k1_square_1(A)) ) ).
fof(t76_complex1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r1_xxreal_0(k4_xcmplx_0(k9_complex1(A)), A) & r1_xxreal_0(A, k9_complex1(A))) ) ) ).
fof(t77_complex1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (k2_xcmplx_0(A, k3_xcmplx_0(B, k7_complex1))=k2_xcmplx_0(C, k3_xcmplx_0(D, k7_complex1)) =>  (A=C & B=D) ) ) ) ) ) ) ) ) ) ).
fof(t78_complex1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => r1_xxreal_0(k3_square_1(k2_xcmplx_0(k1_square_1(A), k1_square_1(B))), k2_xcmplx_0(k9_complex1(A), k9_complex1(B)))) ) ) ) ).
fof(t79_complex1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => r1_xxreal_0(k9_complex1(A), k3_square_1(k2_xcmplx_0(k1_square_1(A), k1_square_1(B))))) ) ) ) ).
fof(t80_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => k9_complex1(k7_xcmplx_0(1, A))=k7_xcmplx_0(1, k9_complex1(A))) ) ).
fof(t81_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k2_xcmplx_0(A, B)=k2_xcmplx_0(k3_real_1(k3_complex1(A), k3_complex1(B)), k3_xcmplx_0(k3_real_1(k4_complex1(A), k4_complex1(B)), k7_complex1))) ) ) ) ).
fof(t82_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k3_xcmplx_0(A, B)=k2_xcmplx_0(k5_real_1(k4_real_1(k3_complex1(A), k3_complex1(B)), k4_real_1(k4_complex1(A), k4_complex1(B))), k3_xcmplx_0(k3_real_1(k4_real_1(k3_complex1(A), k4_complex1(B)), k4_real_1(k3_complex1(B), k4_complex1(A))), k7_complex1))) ) ) ) ).
fof(t83_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => k4_xcmplx_0(A)=k2_xcmplx_0(k1_real_1(k3_complex1(A)), k3_xcmplx_0(k1_real_1(k4_complex1(A)), k7_complex1))) ) ).
fof(t84_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k6_xcmplx_0(A, B)=k2_xcmplx_0(k5_real_1(k3_complex1(A), k3_complex1(B)), k3_xcmplx_0(k5_real_1(k4_complex1(A), k4_complex1(B)), k7_complex1))) ) ) ) ).
fof(t85_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => k5_xcmplx_0(A)=k2_xcmplx_0(k7_xcmplx_0(k3_complex1(A), k2_xcmplx_0(k1_square_1(k3_complex1(A)), k1_square_1(k4_complex1(A)))), k3_xcmplx_0(k7_xcmplx_0(k1_real_1(k4_complex1(A)), k2_xcmplx_0(k1_square_1(k3_complex1(A)), k1_square_1(k4_complex1(A)))), k7_complex1))) ) ).
fof(t86_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k7_xcmplx_0(A, B)=k2_xcmplx_0(k7_xcmplx_0(k3_real_1(k4_real_1(k3_complex1(A), k3_complex1(B)), k4_real_1(k4_complex1(A), k4_complex1(B))), k2_xcmplx_0(k1_square_1(k3_complex1(B)), k1_square_1(k4_complex1(B)))), k3_xcmplx_0(k7_xcmplx_0(k5_real_1(k4_real_1(k3_complex1(B), k4_complex1(A)), k4_real_1(k3_complex1(A), k4_complex1(B))), k2_xcmplx_0(k1_square_1(k3_complex1(B)), k1_square_1(k4_complex1(B)))), k7_complex1))) ) ) ) ).
fof(dt_k3_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => m1_subset_1(k3_complex1(A), k1_numbers)) ) ).
fof(redefinition_k3_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_complex1(A)=k1_complex1(A)) ) ).
fof(dt_k4_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => m1_subset_1(k4_complex1(A), k1_numbers)) ) ).
fof(redefinition_k4_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => k4_complex1(A)=k2_complex1(A)) ) ).
fof(dt_k5_complex1, axiom, m1_subset_1(k5_complex1, k2_numbers)).
fof(redefinition_k5_complex1, axiom, k5_complex1=k5_ordinal1).
fof(dt_k6_complex1, axiom, m1_subset_1(k6_complex1, k2_numbers)).
fof(dt_k7_complex1, axiom, m1_subset_1(k7_complex1, k2_numbers)).
fof(redefinition_k7_complex1, axiom, k7_complex1=k1_xcmplx_0).
fof(dt_k8_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_xcmplx_0(k8_complex1(A))) ) ).
fof(involutiveness_k8_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => k8_complex1(k8_complex1(A))=A) ) ).
fof(dt_k9_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_xreal_0(k9_complex1(A))) ) ).
fof(projectivity_k9_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => k9_complex1(k9_complex1(A))=k9_complex1(A)) ) ).
fof(t1_complex2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  (! [C] :  (v1_xreal_0(C) =>  ~ ( (C=k2_xcmplx_0(k3_xcmplx_0(B, k4_xcmplx_0(k1_int_1(k7_xcmplx_0(A, B)))), A) &  (r1_xxreal_0(k5_numbers, C) &  ~ (r1_xxreal_0(B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_complex2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_xxreal_0(k5_numbers, B) & r1_xxreal_0(k5_numbers, C))  =>  (r1_xxreal_0(A, k5_numbers) |  (r1_xxreal_0(A, B) |  (r1_xxreal_0(A, C) |  (! [D] :  (v1_int_1(D) =>  (B=k2_xcmplx_0(C, k3_xcmplx_0(A, D)) => B=C) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_complex2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (k17_sin_cos(k6_xcmplx_0(A, B))=k6_xcmplx_0(k3_xcmplx_0(k17_sin_cos(A), k19_sin_cos(B)), k3_xcmplx_0(k19_sin_cos(A), k17_sin_cos(B))) & k19_sin_cos(k6_xcmplx_0(A, B))=k2_xcmplx_0(k3_xcmplx_0(k19_sin_cos(A), k19_sin_cos(B)), k3_xcmplx_0(k17_sin_cos(A), k17_sin_cos(B)))) ) ) ) ) ).
fof(t4_complex2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (k1_funct_1(k16_sin_cos, k6_xcmplx_0(A, k28_sin_cos))=k4_xcmplx_0(k1_funct_1(k16_sin_cos, A)) & k1_funct_1(k18_sin_cos, k6_xcmplx_0(A, k28_sin_cos))=k4_xcmplx_0(k1_funct_1(k18_sin_cos, A))) ) ) ).
fof(t5_complex2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (k17_sin_cos(k6_xcmplx_0(A, k28_sin_cos))=k4_xcmplx_0(k17_sin_cos(A)) & k19_sin_cos(k6_xcmplx_0(A, k28_sin_cos))=k4_xcmplx_0(k19_sin_cos(A))) ) ) ).
fof(t6_complex2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_hidden(A, k2_rcomp_1(k5_numbers, k7_xcmplx_0(k28_sin_cos, 2))) & r2_hidden(B, k2_rcomp_1(k5_numbers, k7_xcmplx_0(k28_sin_cos, 2))))  =>  ( ~ ( ( ~ (r1_xxreal_0(B, A))  & r1_xxreal_0(k17_sin_cos(B), k17_sin_cos(A))) )  &  ~ ( ( ~ (r1_xxreal_0(k17_sin_cos(B), k17_sin_cos(A)))  & r1_xxreal_0(B, A)) ) ) ) ) ) ) ) ).
fof(t7_complex2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_hidden(A, k2_rcomp_1(k7_xcmplx_0(k28_sin_cos, 2), k28_sin_cos)) & r2_hidden(B, k2_rcomp_1(k7_xcmplx_0(k28_sin_cos, 2), k28_sin_cos)))  =>  ( ~ ( ( ~ (r1_xxreal_0(B, A))  & r1_xxreal_0(k17_sin_cos(A), k17_sin_cos(B))) )  &  ~ ( ( ~ (r1_xxreal_0(k17_sin_cos(A), k17_sin_cos(B)))  & r1_xxreal_0(B, A)) ) ) ) ) ) ) ) ).
fof(t8_complex2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_int_1(B) => k17_sin_cos(A)=k17_sin_cos(k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B), A))) ) ) ) ).
fof(t9_complex2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_int_1(B) => k19_sin_cos(A)=k19_sin_cos(k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B), A))) ) ) ) ).
fof(t10_complex2, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( (k17_sin_cos(A)=k5_numbers & k19_sin_cos(A)=k5_numbers) ) ) ) ).
fof(t11_complex2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_xxreal_0(k5_numbers, A) &  (r1_xxreal_0(k5_numbers, B) &  (k17_sin_cos(A)=k17_sin_cos(B) & k19_sin_cos(A)=k19_sin_cos(B)) ) )  =>  (r1_xxreal_0(k3_xcmplx_0(2, k28_sin_cos), A) |  (r1_xxreal_0(k3_xcmplx_0(2, k28_sin_cos), B) | A=B) ) ) ) ) ) ) ).
fof(t13_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  ( ~ (A=k5_numbers)  =>  ( ( ~ (r1_xxreal_0(k28_sin_cos, k1_comptrig(A)))  => k1_comptrig(k4_xcmplx_0(A))=k2_xcmplx_0(k1_comptrig(A), k28_sin_cos))  &  (r1_xxreal_0(k28_sin_cos, k1_comptrig(A)) => k1_comptrig(k4_xcmplx_0(A))=k6_xcmplx_0(k1_comptrig(A), k28_sin_cos)) ) ) ) ) ).
fof(t15_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (k1_comptrig(A)=k5_numbers <=> A=k9_complex1(A)) ) ) ).
fof(t16_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  ( ~ (A=k5_numbers)  =>  ( ~ (r1_xxreal_0(k28_sin_cos, k1_comptrig(A)))  <=> r1_xxreal_0(k28_sin_cos, k1_comptrig(k4_xcmplx_0(A)))) ) ) ) ).
fof(t17_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  ( ~ ( (A=B & k6_xcmplx_0(A, B)=k5_numbers) )  =>  ( ~ (r1_xxreal_0(k28_sin_cos, k1_comptrig(k6_xcmplx_0(A, B))))  <=> r1_xxreal_0(k28_sin_cos, k1_comptrig(k6_xcmplx_0(B, A)))) ) ) ) ) ) ).
fof(t18_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (r2_hidden(k1_comptrig(A), k2_rcomp_1(k5_numbers, k28_sin_cos)) <=>  ~ (r1_xxreal_0(k4_complex1(A), k5_numbers)) ) ) ) ).
fof(t19_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  ( ~ (k1_comptrig(A)=k5_numbers)  =>  ( ~ ( ( ~ (r1_xxreal_0(k28_sin_cos, k1_comptrig(A)))  & r1_xxreal_0(k17_sin_cos(k1_comptrig(A)), k5_numbers)) )  &  ~ ( ( ~ (r1_xxreal_0(k17_sin_cos(k1_comptrig(A)), k5_numbers))  & r1_xxreal_0(k28_sin_cos, k1_comptrig(A))) ) ) ) ) ) ).
fof(t20_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  ~ ( ( ~ (r1_xxreal_0(k28_sin_cos, k1_comptrig(A)))  &  ( ~ (r1_xxreal_0(k28_sin_cos, k1_comptrig(B)))  & r1_xxreal_0(k28_sin_cos, k1_comptrig(k2_xcmplx_0(A, B)))) ) ) ) ) ) ) ).
fof(t21_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (k1_comptrig(A)=k5_numbers <=>  (r1_xxreal_0(k5_numbers, k3_complex1(A)) & k4_complex1(A)=k5_numbers) ) ) ) ).
fof(t22_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (k1_comptrig(A)=k28_sin_cos <=>  ( ~ (r1_xxreal_0(k5_numbers, k3_complex1(A)))  & k4_complex1(A)=k5_numbers) ) ) ) ).
fof(t23_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (k4_complex1(A)=k5_numbers <=>  (k1_comptrig(A)=k5_numbers | k1_comptrig(A)=k28_sin_cos) ) ) ) ).
fof(t24_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (r1_xxreal_0(k1_comptrig(A), k28_sin_cos) => r1_xxreal_0(k5_numbers, k4_complex1(A))) ) ) ).
fof(t25_complex2, axiom,  (! [A] :  (m1_subset_1(A, k2_numbers) =>  ( ~ (A=k5_numbers)  =>  (k19_sin_cos(k1_comptrig(k4_xcmplx_0(A)))=k4_xcmplx_0(k19_sin_cos(k1_comptrig(A))) & k17_sin_cos(k1_comptrig(k4_xcmplx_0(A)))=k4_xcmplx_0(k17_sin_cos(k1_comptrig(A)))) ) ) ) ).
fof(t26_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  ( ~ (A=k5_numbers)  =>  (k19_sin_cos(k1_comptrig(A))=k7_xcmplx_0(k3_complex1(A), k9_complex1(A)) & k17_sin_cos(k1_comptrig(A))=k7_xcmplx_0(k4_complex1(A), k9_complex1(A))) ) ) ) ).
fof(t27_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  => k1_comptrig(k3_xcmplx_0(A, B))=k1_comptrig(A)) ) ) ) ) ).
fof(t28_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(k5_numbers, B))  => k1_comptrig(k3_xcmplx_0(A, B))=k1_comptrig(k4_xcmplx_0(A))) ) ) ) ) ).
fof(d1_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k1_complex2(A, B)=k3_xcmplx_0(A, k8_complex1(B))) ) ) ) ).
fof(t29_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k1_complex2(A, B)=k2_xcmplx_0(k3_real_1(k4_real_1(k3_complex1(A), k3_complex1(B)), k4_real_1(k4_complex1(A), k4_complex1(B))), k3_xcmplx_0(k3_real_1(k1_real_1(k4_real_1(k3_complex1(A), k4_complex1(B))), k4_real_1(k4_complex1(A), k3_complex1(B))), k7_complex1))) ) ) ) ).
fof(t30_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (k1_complex2(A, A)=k3_real_1(k4_real_1(k3_complex1(A), k3_complex1(A)), k4_real_1(k4_complex1(A), k4_complex1(A))) & k1_complex2(A, A)=k2_xcmplx_0(k1_square_1(k3_complex1(A)), k1_square_1(k4_complex1(A)))) ) ) ).
fof(t31_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (k1_complex2(A, A)=k1_square_1(k9_complex1(A)) & k1_square_1(k9_complex1(A))=k3_complex1(k1_complex2(A, A))) ) ) ).
fof(t32_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k9_complex1(k1_complex2(A, B))=k3_xcmplx_0(k9_complex1(A), k9_complex1(B))) ) ) ) ).
fof(t33_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (k1_complex2(A, A)=k5_numbers => A=k5_numbers) ) ) ).
fof(t34_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k1_complex2(B, A)=k8_complex1(k1_complex2(A, B))) ) ) ) ).
fof(t35_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k1_complex2(k2_xcmplx_0(A, B), C)=k2_xcmplx_0(k1_complex2(A, C), k1_complex2(B, C))) ) ) ) ) ) ).
fof(t36_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k1_complex2(A, k2_xcmplx_0(B, C))=k2_xcmplx_0(k1_complex2(A, B), k1_complex2(A, C))) ) ) ) ) ) ).
fof(t37_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k1_complex2(k3_xcmplx_0(A, B), C)=k3_xcmplx_0(A, k1_complex2(B, C))) ) ) ) ) ) ).
fof(t38_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k1_complex2(B, k3_xcmplx_0(A, C))=k3_xcmplx_0(k8_complex1(A), k1_complex2(B, C))) ) ) ) ) ) ).
fof(t39_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k1_complex2(k3_xcmplx_0(A, B), C)=k1_complex2(B, k3_xcmplx_0(k8_complex1(A), C))) ) ) ) ) ) ).
fof(t40_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  (v1_xcmplx_0(E) => k1_complex2(k2_xcmplx_0(k3_xcmplx_0(A, C), k3_xcmplx_0(B, D)), E)=k2_xcmplx_0(k3_xcmplx_0(A, k1_complex2(C, E)), k3_xcmplx_0(B, k1_complex2(D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t41_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  (v1_xcmplx_0(E) => k1_complex2(C, k2_xcmplx_0(k3_xcmplx_0(A, D), k3_xcmplx_0(B, E)))=k2_xcmplx_0(k3_xcmplx_0(k8_complex1(A), k1_complex2(C, D)), k3_xcmplx_0(k8_complex1(B), k1_complex2(C, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t42_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k1_complex2(k4_xcmplx_0(A), B)=k1_complex2(A, k4_xcmplx_0(B))) ) ) ) ).
fof(t43_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k1_complex2(k4_xcmplx_0(A), B)=k4_xcmplx_0(k1_complex2(A, B))) ) ) ) ).
fof(t44_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k4_xcmplx_0(k1_complex2(A, B))=k1_complex2(A, k4_xcmplx_0(B))) ) ) ) ).
fof(t45_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k1_complex2(k4_xcmplx_0(A), k4_xcmplx_0(B))=k1_complex2(A, B)) ) ) ) ).
fof(t46_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k1_complex2(k6_xcmplx_0(A, B), C)=k6_xcmplx_0(k1_complex2(A, C), k1_complex2(B, C))) ) ) ) ) ) ).
fof(t47_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k1_complex2(A, k6_xcmplx_0(B, C))=k6_xcmplx_0(k1_complex2(A, B), k1_complex2(A, C))) ) ) ) ) ) ).
fof(t48_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k1_complex2(k2_xcmplx_0(A, B), k2_xcmplx_0(A, B))=k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_complex2(A, A), k1_complex2(A, B)), k1_complex2(B, A)), k1_complex2(B, B))) ) ) ) ).
fof(t49_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k1_complex2(k6_xcmplx_0(A, B), k6_xcmplx_0(A, B))=k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k1_complex2(A, A), k1_complex2(A, B)), k1_complex2(B, A)), k1_complex2(B, B))) ) ) ) ).
fof(t50_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (k3_complex1(k1_complex2(A, B))=k5_numbers <=>  (k4_complex1(k1_complex2(A, B))=k3_xcmplx_0(k9_complex1(A), k9_complex1(B)) | k4_complex1(k1_complex2(A, B))=k4_xcmplx_0(k3_xcmplx_0(k9_complex1(A), k9_complex1(B)))) ) ) ) ) ) ).
fof(d2_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xreal_0(B) => k2_complex2(A, B)=k2_xcmplx_0(k3_xcmplx_0(k9_complex1(A), k19_sin_cos(k2_xcmplx_0(B, k1_comptrig(A)))), k3_xcmplx_0(k3_xcmplx_0(k9_complex1(A), k17_sin_cos(k2_xcmplx_0(B, k1_comptrig(A)))), k7_complex1))) ) ) ) ).
fof(t51_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) => k2_complex2(A, k5_numbers)=A) ) ).
fof(t52_complex2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (k2_complex2(B, A)=k5_numbers <=> B=k5_numbers) ) ) ) ) ).
fof(t53_complex2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k9_complex1(k2_complex2(B, A))=k9_complex1(B)) ) ) ) ).
fof(t54_complex2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  ~ ( ( ~ (B=k5_numbers)  &  (! [C] :  (v1_int_1(C) =>  ~ (k1_comptrig(k2_complex2(B, A))=k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), C), k2_xcmplx_0(A, k1_comptrig(B)))) ) ) ) ) ) ) ) ) ).
fof(t55_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) => k2_complex2(A, k4_xcmplx_0(k1_comptrig(A)))=k9_complex1(A)) ) ).
fof(t56_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (k3_complex1(k2_complex2(A, B))=k6_xcmplx_0(k3_xcmplx_0(k3_complex1(A), k19_sin_cos(B)), k3_xcmplx_0(k4_complex1(A), k17_sin_cos(B))) & k4_complex1(k2_complex2(A, B))=k2_xcmplx_0(k3_xcmplx_0(k3_complex1(A), k17_sin_cos(B)), k3_xcmplx_0(k4_complex1(A), k19_sin_cos(B)))) ) ) ) ) ).
fof(t57_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xreal_0(C) => k2_complex2(k2_xcmplx_0(A, B), C)=k2_xcmplx_0(k2_complex2(A, C), k2_complex2(B, C))) ) ) ) ) ) ).
fof(t58_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xreal_0(B) => k2_complex2(k4_xcmplx_0(A), B)=k4_xcmplx_0(k2_complex2(A, B))) ) ) ) ).
fof(t59_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xreal_0(C) => k2_complex2(k6_xcmplx_0(A, B), C)=k6_xcmplx_0(k2_complex2(A, C), k2_complex2(B, C))) ) ) ) ) ) ).
fof(t60_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) => k2_complex2(A, k28_sin_cos)=k4_xcmplx_0(A)) ) ).
fof(d3_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  ( ( ~ ( ( ~ (k1_comptrig(A)=k5_numbers)  & B=k5_numbers) )  => k3_complex2(A, B)=k1_comptrig(k2_complex2(B, k4_xcmplx_0(k1_comptrig(A)))))  &  ~ ( ( ~ (k1_comptrig(A)=k5_numbers)  &  (B=k5_numbers &  ~ (k3_complex2(A, B)=k6_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), k1_comptrig(A))) ) ) ) ) ) ) ) ) ).
fof(t61_complex2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (r1_xxreal_0(k5_numbers, A) => k3_complex2(A, B)=k1_comptrig(B)) ) ) ) ) ).
fof(t62_complex2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (k1_comptrig(B)=k1_comptrig(C) =>  (B=k5_numbers |  (C=k5_numbers | k1_comptrig(k2_complex2(B, A))=k1_comptrig(k2_complex2(C, A))) ) ) ) ) ) ) ) ) ).
fof(t63_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  => k3_complex2(A, B)=k3_complex2(k3_xcmplx_0(A, C), k3_xcmplx_0(B, C))) ) ) ) ) ) ) ).
fof(t64_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (k1_comptrig(A)=k1_comptrig(B) =>  (A=k5_numbers |  (B=k5_numbers | k1_comptrig(k4_xcmplx_0(A))=k1_comptrig(k4_xcmplx_0(B))) ) ) ) ) ) ) ).
fof(t65_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (A=k5_numbers)  &  ( ~ (B=k5_numbers)  &  ~ (k3_complex2(A, B)=k3_complex2(k2_complex2(A, C), k2_complex2(B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t66_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(k5_numbers, C))  &  ( ~ (A=k5_numbers)  &  ( ~ (B=k5_numbers)  &  ~ (k3_complex2(A, B)=k3_complex2(k3_xcmplx_0(A, C), k3_xcmplx_0(B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  ~ ( ( ~ (A=k5_numbers)  &  ( ~ (B=k5_numbers)  &  ~ (k3_complex2(A, B)=k3_complex2(k4_xcmplx_0(A), k4_xcmplx_0(B))) ) ) ) ) ) ) ) ).
fof(t68_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (k3_complex2(A, B)=k5_numbers =>  (B=k5_numbers | k3_complex2(A, k4_xcmplx_0(B))=k28_sin_cos) ) ) ) ) ) ).
fof(t69_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  ~ ( ( ~ (A=k5_numbers)  &  ( ~ (B=k5_numbers)  &  ~ ( (k19_sin_cos(k3_complex2(A, B))=k7_xcmplx_0(k3_complex1(k1_complex2(A, B)), k3_xcmplx_0(k9_complex1(A), k9_complex1(B))) & k17_sin_cos(k3_complex2(A, B))=k4_xcmplx_0(k7_xcmplx_0(k4_complex1(k1_complex2(A, B)), k3_xcmplx_0(k9_complex1(A), k9_complex1(B))))) ) ) ) ) ) ) ) ) ).
fof(d4_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  ( (r1_xxreal_0(k5_numbers, k6_xcmplx_0(k1_comptrig(k6_xcmplx_0(C, B)), k1_comptrig(k6_xcmplx_0(A, B)))) => k4_complex2(A, B, C)=k6_xcmplx_0(k1_comptrig(k6_xcmplx_0(C, B)), k1_comptrig(k6_xcmplx_0(A, B))))  &  ( ~ (r1_xxreal_0(k5_numbers, k6_xcmplx_0(k1_comptrig(k6_xcmplx_0(C, B)), k1_comptrig(k6_xcmplx_0(A, B)))))  => k4_complex2(A, B, C)=k2_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), k6_xcmplx_0(k1_comptrig(k6_xcmplx_0(C, B)), k1_comptrig(k6_xcmplx_0(A, B))))) ) ) ) ) ) ) ) ).
fof(t70_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (r1_xxreal_0(k5_numbers, k4_complex2(A, B, C)) &  ~ (r1_xxreal_0(k3_xcmplx_0(2, k28_sin_cos), k4_complex2(A, B, C))) ) ) ) ) ) ) ) ).
fof(t71_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k4_complex2(A, B, C)=k4_complex2(k6_xcmplx_0(A, B), k5_numbers, k6_xcmplx_0(C, B))) ) ) ) ) ) ).
fof(t72_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) => k4_complex2(A, B, C)=k4_complex2(k2_xcmplx_0(A, D), k2_xcmplx_0(B, D), k2_xcmplx_0(C, D))) ) ) ) ) ) ) ) ).
fof(t73_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k3_complex2(A, B)=k4_complex2(A, k5_numbers, B)) ) ) ) ).
fof(t74_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (k4_complex2(A, B, C)=k5_numbers =>  (k1_comptrig(k6_xcmplx_0(A, B))=k1_comptrig(k6_xcmplx_0(C, B)) & k4_complex2(C, B, A)=k5_numbers) ) ) ) ) ) ) ) ).
fof(t75_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  ~ ( ( ~ (A=k5_numbers)  &  ( ~ (B=k5_numbers)  &  ~ ( (k3_complex1(k1_complex2(A, B))=k5_numbers <=>  (k4_complex2(A, k5_numbers, B)=k7_xcmplx_0(k28_sin_cos, 2) | k4_complex2(A, k5_numbers, B)=k3_xcmplx_0(k7_xcmplx_0(3, 2), k28_sin_cos)) ) ) ) ) ) ) ) ) ) ).
fof(t76_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  ~ ( ( ~ (A=k5_numbers)  &  ( ~ (B=k5_numbers)  &  ~ ( ( ~ ( ( (k4_complex1(k1_complex2(A, B))=k3_xcmplx_0(k9_complex1(A), k9_complex1(B)) | k4_complex1(k1_complex2(A, B))=k4_xcmplx_0(k3_xcmplx_0(k9_complex1(A), k9_complex1(B))))  &  ( ~ (k4_complex2(A, k5_numbers, B)=k7_xcmplx_0(k28_sin_cos, 2))  &  ~ (k4_complex2(A, k5_numbers, B)=k3_xcmplx_0(k7_xcmplx_0(3, 2), k28_sin_cos)) ) ) )  &  ~ ( ( (k4_complex2(A, k5_numbers, B)=k7_xcmplx_0(k28_sin_cos, 2) | k4_complex2(A, k5_numbers, B)=k3_xcmplx_0(k7_xcmplx_0(3, 2), k28_sin_cos))  &  ( ~ (k4_complex1(k1_complex2(A, B))=k3_xcmplx_0(k9_complex1(A), k9_complex1(B)))  &  ~ (k4_complex1(k1_complex2(A, B))=k4_xcmplx_0(k3_xcmplx_0(k9_complex1(A), k9_complex1(B)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t77_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  ~ ( ( ~ (A=B)  &  ( ~ (C=B)  &  ( (k4_complex2(A, B, C)=k7_xcmplx_0(k28_sin_cos, 2) | k4_complex2(A, B, C)=k3_xcmplx_0(k7_xcmplx_0(3, 2), k28_sin_cos))  &  ~ (k2_xcmplx_0(k1_square_1(k9_complex1(k6_xcmplx_0(A, B))), k1_square_1(k9_complex1(k6_xcmplx_0(C, B))))=k1_square_1(k9_complex1(k6_xcmplx_0(A, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t78_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (A=B)  &  ( ~ (B=C)  &  ~ (k4_complex2(A, B, C)=k4_complex2(k2_complex2(A, D), k2_complex2(B, D), k2_complex2(C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t79_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k4_complex2(A, B, A)=k5_numbers) ) ) ) ).
fof(t80_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  ( ~ (k4_complex2(A, B, C)=k5_numbers)  <=> k2_xcmplx_0(k4_complex2(A, B, C), k4_complex2(C, B, A))=k3_xcmplx_0(2, k28_sin_cos)) ) ) ) ) ) ) ).
fof(t81_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  ~ ( ( ~ (k4_complex2(A, B, C)=k5_numbers)  & k4_complex2(C, B, A)=k5_numbers) ) ) ) ) ) ) ) ).
fof(t82_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (k4_complex2(A, B, C)=k28_sin_cos => k4_complex2(C, B, A)=k28_sin_cos) ) ) ) ) ) ) ).
fof(t83_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  ~ ( ( ~ (A=B)  &  ( ~ (A=C)  &  ( ~ (B=C)  &  (k4_complex2(A, B, C)=k5_numbers &  (k4_complex2(B, C, A)=k5_numbers & k4_complex2(C, A, B)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t84_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  ~ ( ( ~ (A=B)  &  ( ~ (B=C)  &  ( ~ (r1_xxreal_0(k4_complex2(A, B, C), k5_numbers))  &  ( ~ (r1_xxreal_0(k28_sin_cos, k4_complex2(A, B, C)))  &  ~ ( (k2_xcmplx_0(k2_xcmplx_0(k4_complex2(A, B, C), k4_complex2(B, C, A)), k4_complex2(C, A, B))=k28_sin_cos &  ( ~ (r1_xxreal_0(k4_complex2(B, C, A), k5_numbers))  &  ~ (r1_xxreal_0(k4_complex2(C, A, B), k5_numbers)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t85_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  ~ ( ( ~ (A=B)  &  ( ~ (B=C)  &  ( ~ (r1_xxreal_0(k4_complex2(A, B, C), k28_sin_cos))  &  ~ ( (k2_xcmplx_0(k2_xcmplx_0(k4_complex2(A, B, C), k4_complex2(B, C, A)), k4_complex2(C, A, B))=k3_xcmplx_0(5, k28_sin_cos) &  ( ~ (r1_xxreal_0(k4_complex2(B, C, A), k28_sin_cos))  &  ~ (r1_xxreal_0(k4_complex2(C, A, B), k28_sin_cos)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t86_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (k4_complex2(A, B, C)=k28_sin_cos =>  (A=B |  (B=C |  (k4_complex2(B, C, A)=k5_numbers & k4_complex2(C, A, B)=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t87_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  ~ ( ( ~ (A=B)  &  ( ~ (A=C)  &  ( ~ (B=C)  &  (k4_complex2(A, B, C)=k5_numbers &  ( ~ ( (k4_complex2(B, C, A)=k5_numbers & k4_complex2(C, A, B)=k28_sin_cos) )  &  ~ ( (k4_complex2(B, C, A)=k28_sin_cos & k4_complex2(C, A, B)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t88_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  ( (k2_xcmplx_0(k2_xcmplx_0(k4_complex2(A, B, C), k4_complex2(B, C, A)), k4_complex2(C, A, B))=k28_sin_cos | k2_xcmplx_0(k2_xcmplx_0(k4_complex2(A, B, C), k4_complex2(B, C, A)), k4_complex2(C, A, B))=k3_xcmplx_0(5, k28_sin_cos))  <=>  ( ~ (A=B)  &  ( ~ (A=C)  &  ~ (B=C) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_complex2, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => m1_subset_1(k1_complex2(A, B), k2_numbers)) ) ).
fof(dt_k2_complex2, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xreal_0(B))  => m1_subset_1(k2_complex2(A, B), k2_numbers)) ) ).
fof(dt_k3_complex2, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => v1_xreal_0(k3_complex2(A, B))) ) ).
fof(dt_k4_complex2, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => v1_xreal_0(k4_complex2(A, B, C))) ) ).
fof(fc1_complfld, axiom,  ( ~ (v2_struct_0(k1_complfld))  & v36_algstr_0(k1_complfld)) ).
fof(fc2_complfld, axiom, v1_membered(u1_struct_0(k1_complfld))).
fof(ie1_complfld, axiom,  (! [A, B, C, D] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) &  (m1_subset_1(C, u1_struct_0(k1_complfld)) & m1_subset_1(D, u1_struct_0(k1_complfld))) ) )  =>  ( (C=A & D=B)  => k1_algstr_0(k1_complfld, C, D)=k2_xcmplx_0(A, B)) ) ) ).
fof(ie2_complfld, axiom,  (! [A, B, C, D] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) &  (m1_subset_1(C, u1_struct_0(k1_complfld)) & m1_subset_1(D, u1_struct_0(k1_complfld))) ) )  =>  ( (C=A & D=B)  => k6_algstr_0(k1_complfld, C, D)=k3_xcmplx_0(A, B)) ) ) ).
fof(fc3_complfld, axiom,  (v36_algstr_0(k1_complfld) & v4_vectsp_1(k1_complfld)) ).
fof(fc4_complfld, axiom,  ( ~ (v6_struct_0(k1_complfld))  &  (v13_algstr_0(k1_complfld) &  (v33_algstr_0(k1_complfld) &  (v36_algstr_0(k1_complfld) &  (v3_vectsp_1(k1_complfld) &  (v5_vectsp_1(k1_complfld) &  (v6_vectsp_1(k1_complfld) &  (v2_rlvect_1(k1_complfld) &  (v3_rlvect_1(k1_complfld) &  (v4_rlvect_1(k1_complfld) &  (v3_group_1(k1_complfld) & v5_group_1(k1_complfld)) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_complfld, axiom,  (! [A] :  ( (v36_algstr_0(A) & l6_algstr_0(A))  =>  (A=k1_complfld <=>  (u1_struct_0(A)=k2_numbers &  (u1_algstr_0(A)=k3_binop_2 &  (u2_algstr_0(A)=k5_binop_2 &  (k5_struct_0(A)=k6_complex1 & k4_struct_0(A)=k5_complex1) ) ) ) ) ) ) ).
fof(t1_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  ( (A=C & B=D)  => k3_rlvect_1(k1_complfld, A, B)=k2_xcmplx_0(C, D)) ) ) ) ) ) ) ) ) ).
fof(t2_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (v1_xcmplx_0(B) =>  (A=B => k4_algstr_0(k1_complfld, A)=k4_xcmplx_0(B)) ) ) ) ) ).
fof(t3_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  ( (A=C & B=D)  => k5_algstr_0(k1_complfld, A, B)=k6_xcmplx_0(C, D)) ) ) ) ) ) ) ) ) ).
fof(t4_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  ( (A=C & B=D)  => k8_group_1(k1_complfld, A, B)=k3_xcmplx_0(C, D)) ) ) ) ) ) ) ) ) ).
fof(t5_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (v1_xcmplx_0(B) =>  (A=B =>  (A=k4_struct_0(k1_complfld) | k9_algstr_0(k1_complfld, A)=k5_xcmplx_0(B)) ) ) ) ) ) ).
fof(t6_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  ( (A=C & B=D)  =>  (B=k4_struct_0(k1_complfld) | k12_algstr_0(k1_complfld, A, B)=k7_xcmplx_0(C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t7_complfld, axiom, k4_struct_0(k1_complfld)=k5_complex1).
fof(t8_complfld, axiom, k1_group_1(k1_complfld)=k6_complex1).
fof(t9_complfld, axiom,  ~ (k3_rlvect_1(k1_complfld, k1_group_1(k1_complfld), k1_group_1(k1_complfld))=k4_struct_0(k1_complfld)) ).
fof(t10_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) => k4_algstr_0(k1_complfld, A)=k8_group_1(k1_complfld, k4_algstr_0(k1_complfld, k1_group_1(k1_complfld)), A)) ) ).
fof(t11_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) => k5_algstr_0(k1_complfld, A, k4_algstr_0(k1_complfld, B))=k3_rlvect_1(k1_complfld, A, B)) ) ) ) ).
fof(t12_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) => B=k5_algstr_0(k1_complfld, k3_rlvect_1(k1_complfld, B, A), A)) ) ) ) ).
fof(t13_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) => B=k3_rlvect_1(k1_complfld, k5_algstr_0(k1_complfld, B, A), A)) ) ) ) ).
fof(t14_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  (k9_algstr_0(k1_complfld, A)=k9_algstr_0(k1_complfld, B) =>  (A=k4_struct_0(k1_complfld) |  (B=k4_struct_0(k1_complfld) | A=B) ) ) ) ) ) ) ).
fof(t15_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  ~ ( ( ~ (B=k4_struct_0(k1_complfld))  &  ( (k8_group_1(k1_complfld, A, B)=k5_struct_0(k1_complfld) | k8_group_1(k1_complfld, B, A)=k5_struct_0(k1_complfld))  &  ~ (A=k9_algstr_0(k1_complfld, B)) ) ) ) ) ) ) ) ).
fof(t16_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_complfld)) =>  ~ ( ( ~ (B=k4_struct_0(k1_complfld))  &  ( (k8_group_1(k1_complfld, A, B)=C | k8_group_1(k1_complfld, B, A)=C)  &  ~ ( (A=k8_group_1(k1_complfld, C, k9_algstr_0(k1_complfld, B)) & A=k8_group_1(k1_complfld, k9_algstr_0(k1_complfld, B), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_complfld, axiom, k9_algstr_0(k1_complfld, k5_struct_0(k1_complfld))=k5_struct_0(k1_complfld)).
fof(t18_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  ~ ( ( ~ (A=k4_struct_0(k1_complfld))  &  ( ~ (B=k4_struct_0(k1_complfld))  &  ~ (k9_algstr_0(k1_complfld, k8_group_1(k1_complfld, A, B))=k8_group_1(k1_complfld, k9_algstr_0(k1_complfld, A), k9_algstr_0(k1_complfld, B))) ) ) ) ) ) ) ) ).
fof(t19_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  ( ~ (A=k4_struct_0(k1_complfld))  => k9_algstr_0(k1_complfld, k4_algstr_0(k1_complfld, A))=k4_algstr_0(k1_complfld, k9_algstr_0(k1_complfld, A))) ) ) ).
fof(t20_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  ~ ( ( ~ (A=k4_struct_0(k1_complfld))  &  ( ~ (B=k4_struct_0(k1_complfld))  &  ~ (k3_rlvect_1(k1_complfld, k9_algstr_0(k1_complfld, A), k9_algstr_0(k1_complfld, B))=k8_group_1(k1_complfld, k3_rlvect_1(k1_complfld, A, B), k9_algstr_0(k1_complfld, k8_group_1(k1_complfld, A, B)))) ) ) ) ) ) ) ) ).
fof(t21_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  ~ ( ( ~ (A=k4_struct_0(k1_complfld))  &  ( ~ (B=k4_struct_0(k1_complfld))  &  ~ (k5_algstr_0(k1_complfld, k9_algstr_0(k1_complfld, A), k9_algstr_0(k1_complfld, B))=k8_group_1(k1_complfld, k5_algstr_0(k1_complfld, B, A), k9_algstr_0(k1_complfld, k8_group_1(k1_complfld, A, B)))) ) ) ) ) ) ) ) ).
fof(t22_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  ( ~ (A=k4_struct_0(k1_complfld))  => k9_algstr_0(k1_complfld, A)=k12_algstr_0(k1_complfld, k5_struct_0(k1_complfld), A)) ) ) ).
fof(t23_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) => k12_algstr_0(k1_complfld, A, k5_struct_0(k1_complfld))=A) ) ).
fof(t24_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  ( ~ (A=k4_struct_0(k1_complfld))  => k12_algstr_0(k1_complfld, A, A)=k5_struct_0(k1_complfld)) ) ) ).
fof(t25_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  ( ~ (A=k4_struct_0(k1_complfld))  => k12_algstr_0(k1_complfld, k4_struct_0(k1_complfld), A)=k4_struct_0(k1_complfld)) ) ) ).
fof(t26_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  (k12_algstr_0(k1_complfld, A, B)=k4_struct_0(k1_complfld) =>  (B=k4_struct_0(k1_complfld) | A=k4_struct_0(k1_complfld)) ) ) ) ) ) ).
fof(t27_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_complfld)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_complfld)) =>  ~ ( ( ~ (B=k4_struct_0(k1_complfld))  &  ( ~ (D=k4_struct_0(k1_complfld))  &  ~ (k8_group_1(k1_complfld, k12_algstr_0(k1_complfld, A, B), k12_algstr_0(k1_complfld, C, D))=k12_algstr_0(k1_complfld, k8_group_1(k1_complfld, A, C), k8_group_1(k1_complfld, B, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_complfld)) =>  ( ~ (C=k4_struct_0(k1_complfld))  => k8_group_1(k1_complfld, A, k12_algstr_0(k1_complfld, B, C))=k12_algstr_0(k1_complfld, k8_group_1(k1_complfld, A, B), C)) ) ) ) ) ) ) ).
fof(t29_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  (k12_algstr_0(k1_complfld, A, B)=k5_struct_0(k1_complfld) =>  (B=k4_struct_0(k1_complfld) | A=B) ) ) ) ) ) ).
fof(t30_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  ( ~ (A=k4_struct_0(k1_complfld))  => B=k12_algstr_0(k1_complfld, k8_group_1(k1_complfld, B, A), A)) ) ) ) ) ).
fof(t31_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  ~ ( ( ~ (A=k4_struct_0(k1_complfld))  &  ( ~ (B=k4_struct_0(k1_complfld))  &  ~ (k9_algstr_0(k1_complfld, k12_algstr_0(k1_complfld, A, B))=k12_algstr_0(k1_complfld, B, A)) ) ) ) ) ) ) ) ).
fof(t32_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  ~ ( ( ~ (A=k4_struct_0(k1_complfld))  &  ( ~ (B=k4_struct_0(k1_complfld))  &  ~ (k12_algstr_0(k1_complfld, k9_algstr_0(k1_complfld, A), k9_algstr_0(k1_complfld, B))=k12_algstr_0(k1_complfld, B, A)) ) ) ) ) ) ) ) ).
fof(t33_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  ( ~ (B=k4_struct_0(k1_complfld))  => k12_algstr_0(k1_complfld, A, k9_algstr_0(k1_complfld, B))=k8_group_1(k1_complfld, A, B)) ) ) ) ) ).
fof(t34_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  ~ ( ( ~ (A=k4_struct_0(k1_complfld))  &  ( ~ (B=k4_struct_0(k1_complfld))  &  ~ (k12_algstr_0(k1_complfld, k9_algstr_0(k1_complfld, A), B)=k9_algstr_0(k1_complfld, k8_group_1(k1_complfld, A, B))) ) ) ) ) ) ) ) ).
fof(t35_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_complfld)) =>  ~ ( ( ~ (B=k4_struct_0(k1_complfld))  &  ( ~ (C=k4_struct_0(k1_complfld))  &  ~ (k8_group_1(k1_complfld, k9_algstr_0(k1_complfld, B), k12_algstr_0(k1_complfld, A, C))=k12_algstr_0(k1_complfld, A, k8_group_1(k1_complfld, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t36_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_complfld)) =>  ~ ( ( ~ (A=k4_struct_0(k1_complfld))  &  ( ~ (C=k4_struct_0(k1_complfld))  &  ~ ( (k12_algstr_0(k1_complfld, B, C)=k12_algstr_0(k1_complfld, k8_group_1(k1_complfld, B, A), k8_group_1(k1_complfld, C, A)) & k12_algstr_0(k1_complfld, B, C)=k12_algstr_0(k1_complfld, k8_group_1(k1_complfld, A, B), k8_group_1(k1_complfld, A, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_complfld)) =>  ~ ( ( ~ (B=k4_struct_0(k1_complfld))  &  ( ~ (C=k4_struct_0(k1_complfld))  &  ~ (k12_algstr_0(k1_complfld, A, k8_group_1(k1_complfld, B, C))=k12_algstr_0(k1_complfld, k12_algstr_0(k1_complfld, A, B), C)) ) ) ) ) ) ) ) ) ) ).
fof(t38_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_complfld)) =>  ~ ( ( ~ (B=k4_struct_0(k1_complfld))  &  ( ~ (C=k4_struct_0(k1_complfld))  &  ~ (k12_algstr_0(k1_complfld, k8_group_1(k1_complfld, A, C), B)=k12_algstr_0(k1_complfld, A, k12_algstr_0(k1_complfld, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t39_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_complfld)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_complfld)) =>  ~ ( ( ~ (B=k4_struct_0(k1_complfld))  &  ( ~ (C=k4_struct_0(k1_complfld))  &  ( ~ (D=k4_struct_0(k1_complfld))  &  ~ (k12_algstr_0(k1_complfld, k12_algstr_0(k1_complfld, A, B), k12_algstr_0(k1_complfld, C, D))=k12_algstr_0(k1_complfld, k8_group_1(k1_complfld, A, D), k8_group_1(k1_complfld, B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_complfld)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_complfld)) =>  ~ ( ( ~ (B=k4_struct_0(k1_complfld))  &  ( ~ (D=k4_struct_0(k1_complfld))  &  ~ (k3_rlvect_1(k1_complfld, k12_algstr_0(k1_complfld, A, B), k12_algstr_0(k1_complfld, C, D))=k12_algstr_0(k1_complfld, k3_rlvect_1(k1_complfld, k8_group_1(k1_complfld, A, D), k8_group_1(k1_complfld, C, B)), k8_group_1(k1_complfld, B, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_complfld)) =>  ( ~ (A=k4_struct_0(k1_complfld))  => k3_rlvect_1(k1_complfld, k12_algstr_0(k1_complfld, B, A), k12_algstr_0(k1_complfld, C, A))=k12_algstr_0(k1_complfld, k3_rlvect_1(k1_complfld, B, C), A)) ) ) ) ) ) ) ).
fof(t42_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  ( ~ (B=k4_struct_0(k1_complfld))  =>  (k4_algstr_0(k1_complfld, k12_algstr_0(k1_complfld, A, B))=k12_algstr_0(k1_complfld, k4_algstr_0(k1_complfld, A), B) & k4_algstr_0(k1_complfld, k12_algstr_0(k1_complfld, A, B))=k12_algstr_0(k1_complfld, A, k4_algstr_0(k1_complfld, B))) ) ) ) ) ) ).
fof(t43_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  ( ~ (B=k4_struct_0(k1_complfld))  => k12_algstr_0(k1_complfld, A, B)=k12_algstr_0(k1_complfld, k4_algstr_0(k1_complfld, A), k4_algstr_0(k1_complfld, B))) ) ) ) ) ).
fof(t44_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_complfld)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_complfld)) =>  ~ ( ( ~ (B=k4_struct_0(k1_complfld))  &  ( ~ (D=k4_struct_0(k1_complfld))  &  ~ (k5_algstr_0(k1_complfld, k12_algstr_0(k1_complfld, A, B), k12_algstr_0(k1_complfld, C, D))=k12_algstr_0(k1_complfld, k5_algstr_0(k1_complfld, k8_group_1(k1_complfld, A, D), k8_group_1(k1_complfld, C, B)), k8_group_1(k1_complfld, B, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_complfld)) =>  ( ~ (A=k4_struct_0(k1_complfld))  => k5_algstr_0(k1_complfld, k12_algstr_0(k1_complfld, B, A), k12_algstr_0(k1_complfld, C, A))=k12_algstr_0(k1_complfld, k5_algstr_0(k1_complfld, B, C), A)) ) ) ) ) ) ) ).
fof(t46_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_complfld)) =>  ~ ( ( ~ (B=k4_struct_0(k1_complfld))  &  ( (k8_group_1(k1_complfld, A, B)=C | k8_group_1(k1_complfld, B, A)=C)  &  ~ (A=k12_algstr_0(k1_complfld, C, B)) ) ) ) ) ) ) ) ) ) ).
fof(t47_complfld, axiom, k2_complfld(k4_struct_0(k1_complfld))=k4_struct_0(k1_complfld)).
fof(t48_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (k2_complfld(A)=k4_struct_0(k1_complfld) => A=k4_struct_0(k1_complfld)) ) ) ).
fof(t49_complfld, axiom, k2_complfld(k5_struct_0(k1_complfld))=k5_struct_0(k1_complfld)).
fof(t50_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) => k2_complfld(k2_complfld(A))=A) ) ).
fof(t51_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) => k2_complfld(k3_rlvect_1(k1_complfld, A, B))=k3_rlvect_1(k1_complfld, k2_complfld(A), k2_complfld(B))) ) ) ) ).
fof(t52_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) => k2_complfld(k4_algstr_0(k1_complfld, A))=k4_algstr_0(k1_complfld, k2_complfld(A))) ) ).
fof(t53_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) => k2_complfld(k5_algstr_0(k1_complfld, A, B))=k5_algstr_0(k1_complfld, k2_complfld(A), k2_complfld(B))) ) ) ) ).
fof(t54_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) => k2_complfld(k8_group_1(k1_complfld, A, B))=k8_group_1(k1_complfld, k2_complfld(A), k2_complfld(B))) ) ) ) ).
fof(t55_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  ( ~ (A=k4_struct_0(k1_complfld))  => k2_complfld(k9_algstr_0(k1_complfld, A))=k9_algstr_0(k1_complfld, k2_complfld(A))) ) ) ).
fof(t56_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  ( ~ (B=k4_struct_0(k1_complfld))  => k2_complfld(k12_algstr_0(k1_complfld, A, B))=k12_algstr_0(k1_complfld, k2_complfld(A), k2_complfld(B))) ) ) ) ) ).
fof(t57_complfld, axiom, k9_complex1(k4_struct_0(k1_complfld))=k5_numbers).
fof(t58_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (k9_complex1(A)=k5_numbers => A=k4_struct_0(k1_complfld)) ) ) ).
fof(t59_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  ( ~ ( ( ~ (A=k4_struct_0(k1_complfld))  & r1_xxreal_0(k9_complex1(A), k5_numbers)) )  &  ~ ( ( ~ (r1_xxreal_0(k9_complex1(A), k5_numbers))  & A=k4_struct_0(k1_complfld)) ) ) ) ) ).
fof(t60_complfld, axiom, k9_complex1(k5_struct_0(k1_complfld))=1).
fof(t61_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) => k9_complex1(k4_algstr_0(k1_complfld, A))=k9_complex1(A)) ) ).
fof(t62_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) => r1_xxreal_0(k9_complex1(k3_rlvect_1(k1_complfld, A, B)), k2_xcmplx_0(k9_complex1(A), k9_complex1(B)))) ) ) ) ).
fof(t63_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) => r1_xxreal_0(k9_complex1(k5_algstr_0(k1_complfld, A, B)), k2_xcmplx_0(k9_complex1(A), k9_complex1(B)))) ) ) ) ).
fof(t64_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) => r1_xxreal_0(k6_xcmplx_0(k9_complex1(A), k9_complex1(B)), k9_complex1(k3_rlvect_1(k1_complfld, A, B)))) ) ) ) ).
fof(t65_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) => r1_xxreal_0(k6_xcmplx_0(k9_complex1(A), k9_complex1(B)), k9_complex1(k5_algstr_0(k1_complfld, A, B)))) ) ) ) ).
fof(t66_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) => k9_complex1(k5_algstr_0(k1_complfld, A, B))=k9_complex1(k5_algstr_0(k1_complfld, B, A))) ) ) ) ).
fof(t67_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  (k9_complex1(k5_algstr_0(k1_complfld, A, B))=k5_numbers <=> A=B) ) ) ) ) ).
fof(t68_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  ( ~ ( ( ~ (A=B)  & r1_xxreal_0(k9_complex1(k5_algstr_0(k1_complfld, A, B)), k5_numbers)) )  &  ~ ( ( ~ (r1_xxreal_0(k9_complex1(k5_algstr_0(k1_complfld, A, B)), k5_numbers))  & A=B) ) ) ) ) ) ) ).
fof(t69_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_complfld)) => r1_xxreal_0(k9_complex1(k5_algstr_0(k1_complfld, B, C)), k2_xcmplx_0(k9_complex1(k5_algstr_0(k1_complfld, B, A)), k9_complex1(k5_algstr_0(k1_complfld, A, C))))) ) ) ) ) ) ).
fof(t70_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k9_complex1(A), k9_complex1(B))), k9_complex1(k5_algstr_0(k1_complfld, A, B)))) ) ) ) ).
fof(t71_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) => k9_complex1(k8_group_1(k1_complfld, A, B))=k3_xcmplx_0(k9_complex1(A), k9_complex1(B))) ) ) ) ).
fof(t72_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  ( ~ (A=k4_struct_0(k1_complfld))  => k9_complex1(k9_algstr_0(k1_complfld, A))=k5_xcmplx_0(k9_complex1(A))) ) ) ).
fof(t73_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  ( ~ (B=k4_struct_0(k1_complfld))  => k7_xcmplx_0(k9_complex1(A), k9_complex1(B))=k9_complex1(k12_algstr_0(k1_complfld, A, B))) ) ) ) ) ).
fof(t74_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (v7_ordinal1(B) => k1_binop_1(k4_group_1(k1_complfld), A, B)=k1_newton(A, B)) ) ) ) ).
fof(d2_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_complfld)) =>  (m1_complfld(C, A, B) <=> k2_binop_1(u1_struct_0(k1_complfld), k4_ordinal1, u1_struct_0(k1_complfld), k4_group_1(k1_complfld), C, B)=A) ) ) ) ) ) ) ).
fof(t75_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_complfld(B, A, 1) => B=A) ) ) ) ).
fof(t76_complfld, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_complfld(B, k4_struct_0(k1_complfld), A) => B=k4_struct_0(k1_complfld)) ) ) ) ).
fof(t77_complfld, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  (! [C] :  (m1_complfld(C, B, A) =>  (C=k4_struct_0(k1_complfld) => B=k4_struct_0(k1_complfld)) ) ) ) ) ) ) ).
fof(s1_complfld, axiom,  ( ( (? [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  & p1_s1_complfld(A)) )  &  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  ~ ( ( ~ (A=1)  &  (p1_s1_complfld(A) &  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  ~ ( ( ~ (r1_xxreal_0(A, B))  & p1_s1_complfld(B)) ) ) ) ) ) ) ) ) )  => p1_s1_complfld(1)) ).
fof(dt_k1_complfld, axiom,  (v36_algstr_0(k1_complfld) & l6_algstr_0(k1_complfld)) ).
fof(dt_k2_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) => m1_subset_1(k2_complfld(A), u1_struct_0(k1_complfld))) ) ).
fof(involutiveness_k2_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) => k2_complfld(k2_complfld(A))=A) ) ).
fof(redefinition_k2_complfld, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) => k2_complfld(A)=k8_complex1(A)) ) ).
fof(dt_m1_complfld, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k1_complfld)) &  ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1)) )  =>  (! [C] :  (m1_complfld(C, A, B) => m1_subset_1(C, u1_struct_0(k1_complfld))) ) ) ) ).
fof(existence_m1_complfld, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k1_complfld)) &  ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1)) )  =>  (? [C] : m1_complfld(C, A, B)) ) ) ).
fof(redefinition_m1_complfld, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k1_complfld)) &  ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1)) )  =>  (! [C] :  (m1_complfld(C, A, B) <=> m1_comptrig(C, A, B)) ) ) ) ).
fof(fc1_complsp1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ( ~ (v2_struct_0(k1_complsp1(A)))  &  (v1_pre_topc(k1_complsp1(A)) & v2_pre_topc(k1_complsp1(A))) ) ) ) ).
fof(d1_complsp1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => k1_complsp1(A)=g1_pre_topc(k12_seq_4(A), k25_seq_4(A))) ) ).
fof(t1_complsp1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => u1_pre_topc(k1_complsp1(A))=k25_seq_4(A)) ) ).
fof(t2_complsp1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => u1_struct_0(k1_complsp1(A))=k12_seq_4(A)) ) ).
fof(t3_complsp1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complsp1(A))) => m2_finseq_2(B, k2_numbers, k12_seq_4(A))) ) ) ) ).
fof(t4_complsp1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_complsp1(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k12_seq_4(A))) =>  (C=B =>  (v1_seq_4(C, A) <=> v3_pre_topc(B, k1_complsp1(A))) ) ) ) ) ) ) ) ).
fof(t5_complsp1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_complsp1(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k12_seq_4(A))) =>  (C=B =>  (v2_seq_4(C, A) <=> v4_pre_topc(B, k1_complsp1(A))) ) ) ) ) ) ) ) ).
fof(t6_complsp1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v8_pre_topc(k1_complsp1(A))) ) ).
fof(t7_complsp1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v9_pre_topc(k1_complsp1(A))) ) ).
fof(dt_k1_complsp1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (v1_pre_topc(k1_complsp1(A)) &  (v2_pre_topc(k1_complsp1(A)) & l1_pre_topc(k1_complsp1(A))) ) ) ) ).
fof(d1_complsp2, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (B=k1_complsp2(A) <=>  (k3_finseq_1(B)=k3_finseq_1(A) &  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, k3_finseq_1(A)))  => k9_matrix_5(B, C)=k8_complex1(k9_matrix_5(A, C))) ) ) ) ) ) ) ) ) ).
fof(t1_complsp2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (! [C] :  (m2_finseq_1(C, k2_numbers) =>  (r2_tarski(A, k4_finseq_1(k7_seq_4(B, C))) => k9_matrix_5(k7_seq_4(B, C), A)=k2_xcmplx_0(k9_matrix_5(B, A), k9_matrix_5(C, A))) ) ) ) ) ) ) ).
fof(t2_complsp2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (! [C] :  (m2_finseq_1(C, k2_numbers) =>  (r2_tarski(A, k4_finseq_1(k8_seq_4(B, C))) => k9_matrix_5(k8_seq_4(B, C), A)=k6_xcmplx_0(k9_matrix_5(B, A), k9_matrix_5(C, A))) ) ) ) ) ) ) ).
fof(t3_complsp2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_valued_0(B)) ) )  => k3_finseq_1(k24_valued_1(B, A))=k3_finseq_1(B)) ) ) ) ).
fof(t4_complsp2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_valued_0(A)) ) )  => k4_finseq_1(A)=k4_finseq_1(k30_valued_1(A))) ) ).
fof(t5_complsp2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_valued_0(A)) ) )  => k3_finseq_1(k30_valued_1(A))=k3_finseq_1(A)) ) ).
fof(t6_complsp2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_valued_0(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_valued_0(B)) ) )  =>  (k3_finseq_1(A)=k3_finseq_1(B) => k3_finseq_1(k1_valued_1(A, B))=k3_finseq_1(A)) ) ) ) ) ).
fof(t7_complsp2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_valued_0(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_valued_0(B)) ) )  =>  (k3_finseq_1(A)=k3_finseq_1(B) => k3_finseq_1(k45_valued_1(A, B))=k3_finseq_1(A)) ) ) ) ) ).
fof(t8_complsp2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_valued_0(A)) ) )  => m2_finseq_2(A, k2_numbers, k12_seq_4(k3_finseq_1(A)))) ) ).
fof(t13_complsp2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) => k9_matrix_5(k9_seq_4(B), A)=k4_xcmplx_0(k9_matrix_5(B, A))) ) ) ) ).
fof(t14_complsp2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k2_numbers) =>  (! [D] :  (m2_finseq_2(D, k2_numbers, k4_finseq_2(A, k2_numbers)) =>  (C=k9_matrix_5(D, B) => k9_matrix_5(k5_complsp2(A, D), B)=k4_xcmplx_0(C)) ) ) ) ) ) ) ) ) ).
fof(t15_complsp2, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (v1_xcmplx_0(B) => k4_finseq_1(k10_seq_4(A, B))=k4_finseq_1(A)) ) ) ) ).
fof(t16_complsp2, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_xcmplx_0(C) => k9_matrix_5(k10_seq_4(A, C), B)=k3_xcmplx_0(C, k9_matrix_5(A, B))) ) ) ) ) ) ).
fof(t17_complsp2, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (v1_xcmplx_0(B) => k1_complsp2(k10_seq_4(A, B))=k10_seq_4(k1_complsp2(A), k8_complex1(B))) ) ) ) ).
fof(t18_complsp2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_2(C, k2_numbers, k4_finseq_2(A, k2_numbers)) =>  (! [D] :  (m2_finseq_2(D, k2_numbers, k4_finseq_2(A, k2_numbers)) => k9_matrix_5(k3_complsp2(A, C, D), B)=k2_xcmplx_0(k9_matrix_5(C, B), k9_matrix_5(D, B))) ) ) ) ) ) ) ) ).
fof(t19_complsp2, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (k3_finseq_1(A)=k3_finseq_1(B) => k1_complsp2(k7_seq_4(A, B))=k7_seq_4(k1_complsp2(A), k1_complsp2(B))) ) ) ) ) ).
fof(t20_complsp2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_2(C, k2_numbers, k4_finseq_2(A, k2_numbers)) =>  (! [D] :  (m2_finseq_2(D, k2_numbers, k4_finseq_2(A, k2_numbers)) => k9_matrix_5(k2_complsp2(A, C, D), B)=k6_xcmplx_0(k9_matrix_5(C, B), k9_matrix_5(D, B))) ) ) ) ) ) ) ) ).
fof(t21_complsp2, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (k3_finseq_1(A)=k3_finseq_1(B) => k1_complsp2(k8_seq_4(A, B))=k8_seq_4(k1_complsp2(A), k1_complsp2(B))) ) ) ) ) ).
fof(t22_complsp2, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) => k1_complsp2(k1_complsp2(A))=A) ) ).
fof(t23_complsp2, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) => k1_complsp2(k9_seq_4(A))=k9_seq_4(k1_complsp2(A))) ) ).
fof(t24_complsp2, axiom,  (! [A] :  (v1_xcmplx_0(A) => k2_xcmplx_0(A, k8_complex1(A))=k3_xcmplx_0(2, k3_complex1(A))) ) ).
fof(t25_complsp2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_valued_0(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) & v1_valued_0(C)) ) )  =>  (k3_finseq_1(B)=k3_finseq_1(C) => k9_matrix_5(k45_valued_1(B, C), A)=k6_xcmplx_0(k9_matrix_5(B, A), k9_matrix_5(C, A))) ) ) ) ) ) ) ).
fof(t26_complsp2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_valued_0(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) & v1_valued_0(C)) ) )  =>  (k3_finseq_1(B)=k3_finseq_1(C) => k9_matrix_5(k1_valued_1(B, C), A)=k2_xcmplx_0(k9_matrix_5(B, A), k9_matrix_5(C, A))) ) ) ) ) ) ) ).
fof(d2_complsp2, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) => k6_complsp2(A)=k10_seq_4(k7_seq_4(A, k1_complsp2(A)), k7_xcmplx_0(1, 2))) ) ).
fof(t27_complsp2, axiom,  (! [A] :  (v1_xcmplx_0(A) => k6_xcmplx_0(A, k8_complex1(A))=k3_xcmplx_0(k3_xcmplx_0(2, k4_complex1(A)), k7_complex1)) ) ).
fof(d3_complsp2, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) => k7_complsp2(A)=k10_seq_4(k8_seq_4(A, k1_complsp2(A)), k4_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1, 2), k7_complex1)))) ) ).
fof(d4_complsp2, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) => k8_complsp2(A, B)=k2_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k22_rvsum_1(k6_complsp2(A), k6_complsp2(B)), k3_xcmplx_0(k7_complex1, k22_rvsum_1(k6_complsp2(A), k7_complsp2(B)))), k3_xcmplx_0(k7_complex1, k22_rvsum_1(k7_complsp2(A), k6_complsp2(B)))), k22_rvsum_1(k7_complsp2(A), k7_complsp2(B)))) ) ) ) ).
fof(t28_complsp2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_valued_0(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_valued_0(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) & v1_valued_0(C)) ) )  =>  ( (k3_finseq_1(A)=k3_finseq_1(B) & k3_finseq_1(B)=k3_finseq_1(C))  => k1_valued_1(A, k1_valued_1(B, C))=k1_valued_1(k1_valued_1(A, B), C)) ) ) ) ) ) ) ).
fof(t30_complsp2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (! [C] :  (m2_finseq_1(C, k2_numbers) =>  (k3_finseq_1(B)=k3_finseq_1(C) => k10_seq_4(k7_seq_4(B, C), A)=k7_seq_4(k10_seq_4(B, A), k10_seq_4(C, A))) ) ) ) ) ) ) ).
fof(t32_complsp2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_valued_0(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_valued_0(B)) ) )  =>  ( (k3_finseq_1(A)=k3_finseq_1(B) & k1_valued_1(A, B)=k15_seq_4(k3_finseq_1(A)))  =>  (A=k30_valued_1(B) & B=k30_valued_1(A)) ) ) ) ) ) ).
fof(t33_complsp2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_valued_0(A)) ) )  => k1_valued_1(A, k15_seq_4(k3_finseq_1(A)))=A) ) ).
fof(t34_complsp2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_valued_0(A)) ) )  => k1_valued_1(A, k30_valued_1(A))=k15_seq_4(k3_finseq_1(A))) ) ).
fof(t35_complsp2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_valued_0(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_valued_0(B)) ) )  =>  (k3_finseq_1(A)=k3_finseq_1(B) => k30_valued_1(k1_valued_1(A, B))=k1_valued_1(k30_valued_1(A), k30_valued_1(B))) ) ) ) ) ).
fof(t36_complsp2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_valued_0(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_valued_0(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) & v1_valued_0(C)) ) )  =>  ( (k3_finseq_1(A)=k3_finseq_1(B) & k3_finseq_1(B)=k3_finseq_1(C))  => k45_valued_1(k45_valued_1(A, B), C)=k45_valued_1(A, k1_valued_1(B, C))) ) ) ) ) ) ) ).
fof(t37_complsp2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_valued_0(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_valued_0(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) & v1_valued_0(C)) ) )  =>  ( (k3_finseq_1(A)=k3_finseq_1(B) & k3_finseq_1(B)=k3_finseq_1(C))  => k1_valued_1(A, k45_valued_1(B, C))=k45_valued_1(k1_valued_1(A, B), C)) ) ) ) ) ) ) ).
fof(t39_complsp2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_valued_0(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_valued_0(B)) ) )  =>  (k3_finseq_1(A)=k3_finseq_1(B) => k30_valued_1(k45_valued_1(A, B))=k1_valued_1(k30_valued_1(A), B)) ) ) ) ) ).
fof(t40_complsp2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_valued_0(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_valued_0(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) & v1_valued_0(C)) ) )  =>  ( (k3_finseq_1(A)=k3_finseq_1(B) & k3_finseq_1(B)=k3_finseq_1(C))  => k45_valued_1(A, k45_valued_1(B, C))=k1_valued_1(k45_valued_1(A, B), C)) ) ) ) ) ) ) ).
fof(t41_complsp2, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (v1_xcmplx_0(B) => k10_seq_4(k15_seq_4(k3_finseq_1(A)), B)=k15_seq_4(k3_finseq_1(A))) ) ) ) ).
fof(t42_complsp2, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (v1_xcmplx_0(B) => k9_seq_4(k10_seq_4(A, B))=k10_seq_4(k9_seq_4(A), B)) ) ) ) ).
fof(t43_complsp2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (! [C] :  (m2_finseq_1(C, k2_numbers) =>  (k3_finseq_1(B)=k3_finseq_1(C) => k10_seq_4(k8_seq_4(B, C), A)=k8_seq_4(k10_seq_4(B, A), k10_seq_4(C, A))) ) ) ) ) ) ) ).
fof(t44_complsp2, axiom,  (! [A] :  (m1_subset_1(A, k2_numbers) =>  (! [B] :  (m1_subset_1(B, k2_numbers) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (A=C & B=D)  => k4_binop_1(k2_numbers, k3_binop_2, A, B)=k1_binop_1(k9_binop_2, C, D)) ) ) ) ) ) ) ) ) ).
fof(t45_complsp2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k2_numbers, k2_numbers), k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers), k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers)))) )  =>  (! [C] :  (m2_finseq_1(C, k2_numbers) =>  (! [D] :  (m2_finseq_1(D, k2_numbers) =>  (! [E] :  (m2_finseq_1(E, k1_numbers) =>  (! [F] :  (m2_finseq_1(F, k1_numbers) =>  ( (C=E &  (D=F &  (k3_finseq_1(C)=k3_finseq_1(F) &  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  (r2_tarski(G, k4_finseq_1(C)) => k4_binop_1(k2_numbers, A, k9_matrix_5(C, G), k9_matrix_5(D, G))=k1_binop_1(B, k9_matrix_5(E, G), k9_matrix_5(F, G))) ) ) ) ) )  => k1_finseqop(k2_numbers, k2_numbers, k2_numbers, A, C, D)=k1_finseqop(k1_numbers, k1_numbers, k1_numbers, B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_complsp2, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  ( (A=C &  (B=D & k3_finseq_1(A)=k3_finseq_1(D)) )  => k1_finseqop(k2_numbers, k2_numbers, k2_numbers, k3_binop_2, A, B)=k1_finseqop(k1_numbers, k1_numbers, k1_numbers, k9_binop_2, C, D)) ) ) ) ) ) ) ) ) ).
fof(t48_complsp2, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (k3_finseq_1(k6_complsp2(A))=k3_finseq_1(A) & k3_finseq_1(k7_complsp2(A))=k3_finseq_1(A)) ) ) ).
fof(t49_complsp2, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (k3_finseq_1(A)=k3_finseq_1(B) =>  (k6_complsp2(k7_seq_4(A, B))=k4_rvsum_1(k6_complsp2(A), k6_complsp2(B)) & k7_complsp2(k7_seq_4(A, B))=k4_rvsum_1(k7_complsp2(A), k7_complsp2(B))) ) ) ) ) ) ).
fof(t50_complsp2, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  ( (A=C &  (B=D & k3_finseq_1(A)=k3_finseq_1(D)) )  => k1_finseqop(k2_numbers, k2_numbers, k2_numbers, k4_binop_2, A, B)=k1_finseqop(k1_numbers, k1_numbers, k1_numbers, k10_binop_2, C, D)) ) ) ) ) ) ) ) ) ).
fof(t52_complsp2, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (k3_finseq_1(A)=k3_finseq_1(B) =>  (k6_complsp2(k8_seq_4(A, B))=k8_rvsum_1(k6_complsp2(A), k6_complsp2(B)) & k7_complsp2(k8_seq_4(A, B))=k8_rvsum_1(k7_complsp2(A), k7_complsp2(B))) ) ) ) ) ) ).
fof(t53_complsp2, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k10_seq_4(k10_seq_4(A, C), B)=k10_seq_4(A, k3_xcmplx_0(B, C))) ) ) ) ) ) ).
fof(t54_complsp2, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (v1_xcmplx_0(B) => k10_seq_4(A, k4_xcmplx_0(B))=k9_seq_4(k10_seq_4(A, B))) ) ) ) ).
fof(t55_complsp2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_numbers, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_numbers, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [C] :  (m2_finseq_1(C, k2_numbers) =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  ( (k3_finseq_1(C)=k3_finseq_1(D) &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r2_tarski(E, k4_finseq_1(C)) => k9_matrix_5(A, k9_matrix_5(C, E))=k9_matrix_5(B, k9_matrix_5(D, E))) ) ) )  => k4_finseqop(k2_numbers, k2_numbers, C, A)=k4_finseqop(k1_numbers, k1_numbers, D, B)) ) ) ) ) ) ) ) ) ).
fof(t56_complsp2, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  ( (A=B & k3_finseq_1(A)=k3_finseq_1(B))  => k4_finseqop(k2_numbers, k2_numbers, A, k1_binop_2)=k4_finseqop(k1_numbers, k1_numbers, B, k7_binop_2)) ) ) ) ) ).
fof(t58_complsp2, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (k6_complsp2(k10_seq_4(A, k7_complex1))=k6_rvsum_1(k7_complsp2(A)) & k7_complsp2(k10_seq_4(A, k7_complex1))=k6_complsp2(A)) ) ) ).
fof(t59_complsp2, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (k3_finseq_1(A)=k3_finseq_1(B) => k8_complsp2(k10_seq_4(A, k7_complex1), B)=k3_xcmplx_0(k7_complex1, k8_complsp2(A, B))) ) ) ) ) ).
fof(t60_complsp2, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (k3_finseq_1(A)=k3_finseq_1(B) => k8_complsp2(A, k10_seq_4(B, k7_complex1))=k4_xcmplx_0(k3_xcmplx_0(k7_complex1, k8_complsp2(A, B)))) ) ) ) ) ).
fof(t61_complsp2, axiom,  (! [A] :  (m1_subset_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  ( (A=C &  (B=D & k3_finseq_1(B)=k3_finseq_1(D)) )  => k4_finseqop(k2_numbers, k2_numbers, B, k5_seq_4(A))=k4_finseqop(k1_numbers, k1_numbers, D, k3_rvsum_1(C))) ) ) ) ) ) ) ) ) ).
fof(t63_complsp2, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k10_seq_4(A, k2_xcmplx_0(B, C))=k7_seq_4(k10_seq_4(A, B), k10_seq_4(A, C))) ) ) ) ) ) ).
fof(t64_complsp2, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k10_seq_4(A, k6_xcmplx_0(B, C))=k8_seq_4(k10_seq_4(A, B), k10_seq_4(A, C))) ) ) ) ) ) ).
fof(t65_complsp2, axiom,  (! [A] :  (m1_subset_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (k6_complsp2(k10_seq_4(B, A))=k8_rvsum_1(k10_rvsum_1(k6_complsp2(B), k3_complex1(A)), k10_rvsum_1(k7_complsp2(B), k4_complex1(A))) & k7_complsp2(k10_seq_4(B, A))=k4_rvsum_1(k10_rvsum_1(k6_complsp2(B), k4_complex1(A)), k10_rvsum_1(k7_complsp2(B), k3_complex1(A)))) ) ) ) ) ).
fof(t66_complsp2, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (! [C] :  (m2_finseq_1(C, k2_numbers) =>  ( (k3_finseq_1(A)=k3_finseq_1(B) & k3_finseq_1(B)=k3_finseq_1(C))  => k8_complsp2(k7_seq_4(A, B), C)=k2_xcmplx_0(k8_complsp2(A, C), k8_complsp2(B, C))) ) ) ) ) ) ) ).
fof(t67_complsp2, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (k3_finseq_1(A)=k3_finseq_1(B) => k8_complsp2(k9_seq_4(A), B)=k4_xcmplx_0(k8_complsp2(A, B))) ) ) ) ) ).
fof(t68_complsp2, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (k3_finseq_1(A)=k3_finseq_1(B) => k8_complsp2(A, k9_seq_4(B))=k4_xcmplx_0(k8_complsp2(A, B))) ) ) ) ) ).
fof(t69_complsp2, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (k3_finseq_1(A)=k3_finseq_1(B) => k8_complsp2(k9_seq_4(A), k9_seq_4(B))=k8_complsp2(A, B)) ) ) ) ) ).
fof(t70_complsp2, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (! [C] :  (m2_finseq_1(C, k2_numbers) =>  ( (k3_finseq_1(A)=k3_finseq_1(B) & k3_finseq_1(B)=k3_finseq_1(C))  => k8_complsp2(k8_seq_4(A, B), C)=k6_xcmplx_0(k8_complsp2(A, C), k8_complsp2(B, C))) ) ) ) ) ) ) ).
fof(t71_complsp2, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (! [C] :  (m2_finseq_1(C, k2_numbers) =>  ( (k3_finseq_1(A)=k3_finseq_1(B) & k3_finseq_1(B)=k3_finseq_1(C))  => k8_complsp2(A, k7_seq_4(B, C))=k2_xcmplx_0(k8_complsp2(A, B), k8_complsp2(A, C))) ) ) ) ) ) ) ).
fof(t72_complsp2, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (! [C] :  (m2_finseq_1(C, k2_numbers) =>  ( (k3_finseq_1(A)=k3_finseq_1(B) & k3_finseq_1(B)=k3_finseq_1(C))  => k8_complsp2(A, k8_seq_4(B, C))=k6_xcmplx_0(k8_complsp2(A, B), k8_complsp2(A, C))) ) ) ) ) ) ) ).
fof(t73_complsp2, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (! [C] :  (m2_finseq_1(C, k2_numbers) =>  (! [D] :  (m2_finseq_1(D, k2_numbers) =>  ( (k3_finseq_1(A)=k3_finseq_1(B) &  (k3_finseq_1(B)=k3_finseq_1(C) & k3_finseq_1(C)=k3_finseq_1(D)) )  => k8_complsp2(k7_seq_4(A, B), k7_seq_4(C, D))=k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k8_complsp2(A, C), k8_complsp2(A, D)), k8_complsp2(B, C)), k8_complsp2(B, D))) ) ) ) ) ) ) ) ) ).
fof(t74_complsp2, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (! [C] :  (m2_finseq_1(C, k2_numbers) =>  (! [D] :  (m2_finseq_1(D, k2_numbers) =>  ( (k3_finseq_1(A)=k3_finseq_1(B) &  (k3_finseq_1(B)=k3_finseq_1(C) & k3_finseq_1(C)=k3_finseq_1(D)) )  => k8_complsp2(k8_seq_4(A, B), k8_seq_4(C, D))=k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k8_complsp2(A, C), k8_complsp2(A, D)), k8_complsp2(B, C)), k8_complsp2(B, D))) ) ) ) ) ) ) ) ) ).
fof(t75_complsp2, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) => k8_complsp2(A, B)=k8_complex1(k8_complsp2(B, A))) ) ) ) ).
fof(t76_complsp2, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (k3_finseq_1(A)=k3_finseq_1(B) => k8_complsp2(k7_seq_4(A, B), k7_seq_4(A, B))=k2_xcmplx_0(k2_xcmplx_0(k8_complsp2(A, A), k3_xcmplx_0(2, k3_complex1(k8_complsp2(A, B)))), k8_complsp2(B, B))) ) ) ) ) ).
fof(t77_complsp2, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (k3_finseq_1(A)=k3_finseq_1(B) => k8_complsp2(k8_seq_4(A, B), k8_seq_4(A, B))=k2_xcmplx_0(k6_xcmplx_0(k8_complsp2(A, A), k3_xcmplx_0(2, k3_complex1(k8_complsp2(A, B)))), k8_complsp2(B, B))) ) ) ) ) ).
fof(t78_complsp2, axiom,  (! [A] :  (m1_subset_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (! [C] :  (m2_finseq_1(C, k2_numbers) =>  (k3_finseq_1(B)=k3_finseq_1(C) => k8_complsp2(k10_seq_4(B, A), C)=k3_xcmplx_0(A, k8_complsp2(B, C))) ) ) ) ) ) ) ).
fof(t79_complsp2, axiom,  (! [A] :  (m1_subset_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (! [C] :  (m2_finseq_1(C, k2_numbers) =>  (k3_finseq_1(B)=k3_finseq_1(C) => k8_complsp2(B, k10_seq_4(C, A))=k3_xcmplx_0(k8_complex1(A), k8_complsp2(B, C))) ) ) ) ) ) ) ).
fof(t80_complsp2, axiom,  (! [A] :  (m1_subset_1(A, k2_numbers) =>  (! [B] :  (m1_subset_1(B, k2_numbers) =>  (! [C] :  (m2_finseq_1(C, k2_numbers) =>  (! [D] :  (m2_finseq_1(D, k2_numbers) =>  (! [E] :  (m2_finseq_1(E, k2_numbers) =>  ( (k3_finseq_1(C)=k3_finseq_1(D) & k3_finseq_1(D)=k3_finseq_1(E))  => k8_complsp2(k7_seq_4(k10_seq_4(C, A), k10_seq_4(D, B)), E)=k2_xcmplx_0(k3_xcmplx_0(A, k8_complsp2(C, E)), k3_xcmplx_0(B, k8_complsp2(D, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t81_complsp2, axiom,  (! [A] :  (m1_subset_1(A, k2_numbers) =>  (! [B] :  (m1_subset_1(B, k2_numbers) =>  (! [C] :  (m2_finseq_1(C, k2_numbers) =>  (! [D] :  (m2_finseq_1(D, k2_numbers) =>  (! [E] :  (m2_finseq_1(E, k2_numbers) =>  ( (k3_finseq_1(C)=k3_finseq_1(D) & k3_finseq_1(D)=k3_finseq_1(E))  => k8_complsp2(C, k7_seq_4(k10_seq_4(D, A), k10_seq_4(E, B)))=k2_xcmplx_0(k3_xcmplx_0(k8_complex1(A), k8_complsp2(C, D)), k3_xcmplx_0(k8_complex1(B), k8_complsp2(C, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_complsp2, axiom,  (! [A] :  (m1_finseq_1(A, k2_numbers) => m2_finseq_1(k1_complsp2(A), k2_numbers)) ) ).
fof(involutiveness_k1_complsp2, axiom,  (! [A] :  (m1_finseq_1(A, k2_numbers) => k1_complsp2(k1_complsp2(A))=A) ) ).
fof(redefinition_k1_complsp2, axiom,  (! [A] :  (m1_finseq_1(A, k2_numbers) => k1_complsp2(A)=k1_comseq_2(A)) ) ).
fof(dt_k2_complsp2, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k4_ordinal1) &  (m1_subset_1(B, k4_finseq_2(A, k2_numbers)) & m1_subset_1(C, k4_finseq_2(A, k2_numbers))) )  => m2_finseq_2(k2_complsp2(A, B, C), k2_numbers, k4_finseq_2(A, k2_numbers))) ) ).
fof(redefinition_k2_complsp2, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k4_ordinal1) &  (m1_subset_1(B, k4_finseq_2(A, k2_numbers)) & m1_subset_1(C, k4_finseq_2(A, k2_numbers))) )  => k2_complsp2(A, B, C)=k45_valued_1(B, C)) ) ).
fof(dt_k3_complsp2, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k4_ordinal1) &  (m1_subset_1(B, k4_finseq_2(A, k2_numbers)) & m1_subset_1(C, k4_finseq_2(A, k2_numbers))) )  => m2_finseq_2(k3_complsp2(A, B, C), k2_numbers, k4_finseq_2(A, k2_numbers))) ) ).
fof(commutativity_k3_complsp2, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k4_ordinal1) &  (m1_subset_1(B, k4_finseq_2(A, k2_numbers)) & m1_subset_1(C, k4_finseq_2(A, k2_numbers))) )  => k3_complsp2(A, B, C)=k3_complsp2(A, C, B)) ) ).
fof(redefinition_k3_complsp2, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k4_ordinal1) &  (m1_subset_1(B, k4_finseq_2(A, k2_numbers)) & m1_subset_1(C, k4_finseq_2(A, k2_numbers))) )  => k3_complsp2(A, B, C)=k1_valued_1(B, C)) ) ).
fof(dt_k4_complsp2, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k4_ordinal1) &  (m1_subset_1(B, k4_finseq_2(A, k2_numbers)) & v1_xcmplx_0(C)) )  => m2_finseq_2(k4_complsp2(A, B, C), k2_numbers, k4_finseq_2(A, k2_numbers))) ) ).
fof(redefinition_k4_complsp2, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k4_ordinal1) &  (m1_subset_1(B, k4_finseq_2(A, k2_numbers)) & v1_xcmplx_0(C)) )  => k4_complsp2(A, B, C)=k24_valued_1(B, C)) ) ).
fof(dt_k5_complsp2, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_finseq_2(A, k2_numbers)))  => m2_finseq_2(k5_complsp2(A, B), k2_numbers, k4_finseq_2(A, k2_numbers))) ) ).
fof(involutiveness_k5_complsp2, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_finseq_2(A, k2_numbers)))  => k5_complsp2(A, k5_complsp2(A, B))=B) ) ).
fof(redefinition_k5_complsp2, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_finseq_2(A, k2_numbers)))  => k5_complsp2(A, B)=k30_valued_1(B)) ) ).
fof(dt_k6_complsp2, axiom,  (! [A] :  (m1_finseq_1(A, k2_numbers) => m2_finseq_1(k6_complsp2(A), k1_numbers)) ) ).
fof(dt_k7_complsp2, axiom,  (! [A] :  (m1_finseq_1(A, k2_numbers) => m2_finseq_1(k7_complsp2(A), k1_numbers)) ) ).
fof(dt_k8_complsp2, axiom,  (! [A, B] :  ( (m1_finseq_1(A, k2_numbers) & m1_finseq_1(B, k2_numbers))  => m1_subset_1(k8_complsp2(A, B), k2_numbers)) ) ).
fof(fc1_compos_0, axiom, v1_compos_0(k1_tarski(k3_xtuple_0(k5_numbers, k1_xboole_0, k1_xboole_0)))).
fof(fc2_compos_0, axiom, v1_compos_0(k1_tarski(k3_xtuple_0(1, k1_xboole_0, k1_xboole_0)))).
fof(rc1_compos_0, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_compos_0(A)) ) ).
fof(fc3_compos_0, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_compos_0(A))  & m1_subset_1(B, A))  =>  (v1_relat_1(k2_xtuple_0(B)) & v1_funct_1(k2_xtuple_0(B))) ) ) ).
fof(fc4_compos_0, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_compos_0(A))  & m1_subset_1(B, A))  =>  (v1_relat_1(k5_xtuple_0(B)) & v1_funct_1(k5_xtuple_0(B))) ) ) ).
fof(fc5_compos_0, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_compos_0(A))  & m1_subset_1(B, A))  =>  (v1_relat_1(k2_xtuple_0(B)) &  (v1_funct_1(k2_xtuple_0(B)) & v1_finseq_1(k2_xtuple_0(B))) ) ) ) ).
fof(fc6_compos_0, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_compos_0(A))  & m1_subset_1(B, A))  =>  (v1_relat_1(k5_xtuple_0(B)) &  (v1_funct_1(k5_xtuple_0(B)) & v1_finseq_1(k5_xtuple_0(B))) ) ) ) ).
fof(fc7_compos_0, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_compos_0(A))  & m1_subset_1(B, A))  => v7_ordinal1(k4_xtuple_0(B))) ) ).
fof(cc1_compos_0, axiom,  (! [A] :  (v1_compos_0(A) => v1_relat_1(A)) ) ).
fof(fc8_compos_0, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_compos_0(A))  =>  ~ (v1_xboole_0(k4_compos_0(A))) ) ) ).
fof(fc9_compos_0, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_compos_0(A))  & m1_subset_1(B, k4_compos_0(A)))  => v4_funct_1(k7_compos_0(A, B))) ) ).
fof(fc10_compos_0, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_compos_0(A))  & m1_subset_1(B, k4_compos_0(A)))  =>  ( ~ (v1_xboole_0(k6_compos_0(A, B)))  & v4_funct_1(k6_compos_0(A, B))) ) ) ).
fof(fc11_compos_0, axiom,  (v2_compos_0(k1_tarski(k3_xtuple_0(k5_numbers, k1_xboole_0, k1_xboole_0))) & v3_compos_0(k1_tarski(k3_xtuple_0(k5_numbers, k1_xboole_0, k1_xboole_0)))) ).
fof(rc2_compos_0, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_compos_0(A) &  (v2_compos_0(A) & v3_compos_0(A)) ) ) ) ) ).
fof(fc12_compos_0, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_compos_0(A) & v2_compos_0(A)) )  & m1_subset_1(B, k4_compos_0(A)))  => v2_card_3(k6_compos_0(A, B))) ) ).
fof(fc13_compos_0, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_compos_0(A))  & m1_subset_1(B, A))  =>  (v1_relat_1(k5_xtuple_0(B)) &  (v5_relat_1(k5_xtuple_0(B), k4_ordinal1) & v1_funct_1(k5_xtuple_0(B))) ) ) ) ).
fof(fc14_compos_0, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_compos_0(A) &  (v2_compos_0(A) & v3_compos_0(A)) ) )  & m1_subset_1(B, k4_compos_0(A)))  => v3_card_3(k6_compos_0(A, B))) ) ).
fof(fc15_compos_0, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_compos_0(A))  & m1_subset_1(B, A))  =>  (v1_relat_1(k5_xtuple_0(B)) &  (v1_funct_1(k5_xtuple_0(B)) & v4_valued_0(k5_xtuple_0(B))) ) ) ) ).
fof(fc16_compos_0, axiom, v1_compos_0(k2_tarski(k3_xtuple_0(k5_numbers, k1_xboole_0, k1_xboole_0), k3_xtuple_0(1, k1_xboole_0, k1_xboole_0)))).
fof(fc17_compos_0, axiom,  (v2_compos_0(k2_tarski(k3_xtuple_0(k5_numbers, k1_xboole_0, k1_xboole_0), k3_xtuple_0(1, k1_xboole_0, k1_xboole_0))) & v3_compos_0(k2_tarski(k3_xtuple_0(k5_numbers, k1_xboole_0, k1_xboole_0), k3_xtuple_0(1, k1_xboole_0, k1_xboole_0)))) ).
fof(cc2_compos_0, axiom,  (! [A] :  (v5_compos_0(A) =>  ~ (v1_xboole_0(A)) ) ) ).
fof(fc18_compos_0, axiom, v5_compos_0(k1_tarski(k3_xtuple_0(k5_numbers, k1_xboole_0, k1_xboole_0)))).
fof(fc19_compos_0, axiom, v5_compos_0(k2_tarski(k3_xtuple_0(k5_numbers, k1_xboole_0, k1_xboole_0), k3_xtuple_0(1, k1_xboole_0, k1_xboole_0)))).
fof(rc3_compos_0, axiom,  (? [A] :  (v1_compos_0(A) & v5_compos_0(A)) ) ).
fof(rc4_compos_0, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_compos_0(A) &  (v2_compos_0(A) &  (v3_compos_0(A) & v5_compos_0(A)) ) ) ) ) ) ).
fof(fc20_compos_0, axiom,  (! [A] :  ( (v1_compos_0(A) & v5_compos_0(A))  => v4_compos_0(k9_compos_0(A), A)) ) ).
fof(rc5_compos_0, axiom,  (! [A] :  ( (v1_compos_0(A) & v5_compos_0(A))  =>  (? [B] :  (m1_subset_1(B, A) & v4_compos_0(B, A)) ) ) ) ).
fof(fc21_compos_0, axiom,  (! [A, B] :  ( ( (v1_compos_0(A) & v5_compos_0(A))  &  (v4_compos_0(B, A) & m1_subset_1(B, A)) )  => v1_xboole_0(k5_xtuple_0(B))) ) ).
fof(rc6_compos_0, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  (v1_relat_1(A) &  (v1_compos_0(A) &  (v2_compos_0(A) &  (v3_compos_0(A) & v5_compos_0(A)) ) ) ) ) ) ) ).
fof(d1_compos_0, axiom,  (! [A] :  (v1_compos_0(A) <=>  (? [B] :  ( ~ (v1_xboole_0(B))  & r1_tarski(A, k3_zfmisc_1(k4_ordinal1, k13_finseq_1(k4_ordinal1), k13_finseq_1(B)))) ) ) ) ).
fof(d2_compos_0, axiom,  (! [A] :  (v1_compos_0(A) => k4_compos_0(A)=k11_xtuple_0(A)) ) ).
fof(d5_compos_0, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_compos_0(A))  =>  (v2_compos_0(A) <=>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (k5_compos_0(A, B)=k5_compos_0(A, C) => k4_finseq_1(k2_compos_0(B))=k4_finseq_1(k2_compos_0(C))) ) ) ) ) ) ) ) ).
fof(d7_compos_0, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_compos_0(A))  =>  (v3_compos_0(A) <=>  (! [B] :  (m1_subset_1(B, k4_compos_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v4_valued_0(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v4_valued_0(D)) )  =>  ( (r2_tarski(C, k6_compos_0(A, B)) & k9_xtuple_0(C)=k9_xtuple_0(D))  =>  (! [E] :  (r2_hidden(k3_xtuple_0(B, C, E), A) => r2_hidden(k3_xtuple_0(B, D, E), A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_compos_0, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_compos_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  ( (k5_compos_0(A, B)=k5_compos_0(A, C) &  (k2_compos_0(B)=k2_compos_0(C) & k3_compos_0(B)=k3_compos_0(C)) )  => B=C) ) ) ) ) ) ) ).
fof(d8_compos_0, axiom,  (! [A] :  (v1_compos_0(A) =>  (! [B] :  (m1_subset_1(B, A) =>  (v4_compos_0(B, A) <=> v1_xboole_0(k2_compos_0(B))) ) ) ) ) ).
fof(d9_compos_0, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_compos_0(A) &  (v2_compos_0(A) & v3_compos_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, A) =>  (D=k8_compos_0(A, B, C) <=>  (k5_compos_0(A, D)=k5_compos_0(A, B) &  (k3_compos_0(D)=k3_compos_0(B) & k2_compos_0(D)=k7_valued_1(k2_compos_0(B), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_compos_0, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_compos_0(A) &  (v2_compos_0(A) & v3_compos_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, A) => k8_compos_0(A, B, k5_numbers)=B) ) ) ) ).
fof(t4_compos_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_compos_0(B) &  (v2_compos_0(B) & v3_compos_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, B) =>  (v4_compos_0(C, B) => k8_compos_0(B, C, A)=C) ) ) ) ) ) ) ).
fof(t5_compos_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_compos_0(B) &  (v2_compos_0(B) & v3_compos_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, B) => k6_compos_0(B, k5_compos_0(B, C))=k6_compos_0(B, k5_compos_0(B, k8_compos_0(B, C, A)))) ) ) ) ) ) ).
fof(t6_compos_0, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_compos_0(A) &  (v2_compos_0(A) & v3_compos_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  ( (? [D] :  (v7_ordinal1(D) & k8_compos_0(A, B, D)=k8_compos_0(A, C, D)) )  => B=C) ) ) ) ) ) ) ).
fof(t7_compos_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_compos_0(C) &  (v2_compos_0(C) & v3_compos_0(C)) ) )  =>  (! [D] :  (m1_subset_1(D, C) => k8_compos_0(C, k8_compos_0(C, D, A), B)=k8_compos_0(C, D, k2_xcmplx_0(A, B))) ) ) ) ) ) ) ) ).
fof(t8_compos_0, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_compos_0(A) &  (v2_compos_0(A) & v3_compos_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (r2_tarski(C, k4_finseq_1(k2_compos_0(B))) => r2_tarski(k1_funct_1(k2_compos_0(B), C), k1_funct_1(k10_card_3(k6_compos_0(A, k5_compos_0(A, B))), C))) ) ) ) ) ) ).
fof(t9_compos_0, axiom,  (! [A] :  (m1_subset_1(A, k2_tarski(k3_xtuple_0(k5_numbers, k1_xboole_0, k1_xboole_0), k3_xtuple_0(1, k1_xboole_0, k1_xboole_0))) => k2_compos_0(A)=k1_xboole_0) ) ).
fof(t10_compos_0, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_compos_0(A))  =>  (! [B] :  (m1_subset_1(B, k4_compos_0(A)) =>  (? [C] :  (m1_subset_1(C, A) & k5_compos_0(A, C)=B) ) ) ) ) ) ).
fof(t11_compos_0, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_compos_0(A) & v2_compos_0(A)) )  =>  (! [B] :  (m1_subset_1(B, A) =>  (k2_compos_0(B)=k1_xboole_0 => k6_compos_0(A, k5_compos_0(A, B))=k6_domain_1(k4_ordinal1, k5_numbers)) ) ) ) ) ).
fof(d10_compos_0, axiom,  (! [A] :  (v5_compos_0(A) <=> r2_hidden(k3_xtuple_0(k5_numbers, k1_xboole_0, k1_xboole_0), A)) ) ).
fof(d11_compos_0, axiom,  (! [A] :  (v5_compos_0(A) => k9_compos_0(A)=k3_xtuple_0(k5_numbers, k1_xboole_0, k1_xboole_0)) ) ).
fof(t12_compos_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_compos_0(B) &  (v2_compos_0(B) &  (v3_compos_0(B) & v5_compos_0(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, B) =>  (k8_compos_0(B, C, A)=k9_compos_0(B) => C=k9_compos_0(B)) ) ) ) ) ) ) ).
fof(d12_compos_0, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_compos_0(A) &  (v2_compos_0(A) &  (v3_compos_0(A) & v5_compos_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, A) =>  (v6_compos_0(B, A) <=>  ~ (B=k9_compos_0(A)) ) ) ) ) ) ).
fof(redefinition_k1_compos_0, axiom,  (! [A] : k1_compos_0(A)=k4_xtuple_0(A)) ).
fof(redefinition_k2_compos_0, axiom,  (! [A] : k2_compos_0(A)=k5_xtuple_0(A)) ).
fof(redefinition_k3_compos_0, axiom,  (! [A] : k3_compos_0(A)=k2_xtuple_0(A)) ).
fof(dt_k5_compos_0, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_compos_0(A))  & m1_subset_1(B, A))  => m1_subset_1(k5_compos_0(A, B), k4_compos_0(A))) ) ).
fof(redefinition_k5_compos_0, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_compos_0(A))  & m1_subset_1(B, A))  => k5_compos_0(A, B)=k4_xtuple_0(B)) ) ).
fof(dt_k8_compos_0, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_compos_0(A) &  (v2_compos_0(A) & v3_compos_0(A)) ) )  &  (m1_subset_1(B, A) & v7_ordinal1(C)) )  => m1_subset_1(k8_compos_0(A, B, C), A)) ) ).
fof(dt_k9_compos_0, axiom,  (! [A] :  (v5_compos_0(A) => m1_subset_1(k9_compos_0(A), A)) ) ).
fof(d3_compos_0, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_compos_0(A))  =>  (! [B] :  (m1_subset_1(B, k4_compos_0(A)) => k6_compos_0(A, B)=a_2_0_compos_0(A, B)) ) ) ) ).
fof(d4_compos_0, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_compos_0(A))  =>  (! [B] :  (m1_subset_1(B, k4_compos_0(A)) => k7_compos_0(A, B)=a_2_1_compos_0(A, B)) ) ) ) ).
fof(fraenkel_a_2_0_compos_0, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  & v1_compos_0(B))  & m1_subset_1(C, k4_compos_0(B)))  =>  (r2_hidden(A, a_2_0_compos_0(B, C)) <=>  (? [D] :  (m1_subset_1(D, B) &  (A=k2_compos_0(D) & k5_compos_0(B, D)=C) ) ) ) ) ) ).
fof(fraenkel_a_2_1_compos_0, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  & v1_compos_0(B))  & m1_subset_1(C, k4_compos_0(B)))  =>  (r2_hidden(A, a_2_1_compos_0(B, C)) <=>  (? [D] :  (m1_subset_1(D, B) &  (A=k3_compos_0(D) & k5_compos_0(B, D)=C) ) ) ) ) ) ).
fof(rc1_compos_1, axiom,  (? [A] :  (l1_compos_1(A) & v1_compos_1(A)) ) ).
fof(rc2_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v3_card_1(B, 1) & v1_afinsq_1(B)) ) ) ) ) ) ) ) ).
fof(cc1_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v3_compos_1(B, A)) ) ) ) ) )  =>  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  ~ (v2_compos_1(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (? [B] :  ( ~ (v1_xboole_0(B))  &  (v1_zfmisc_1(B) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) ) ) ) ) ) ).
fof(fc1_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  ( ~ (v1_xboole_0(k4_compos_1(A)))  &  (v1_zfmisc_1(k4_compos_1(A)) &  (v1_relat_1(k4_compos_1(A)) &  (v4_relat_1(k4_compos_1(A), k4_ordinal1) &  (v5_relat_1(k4_compos_1(A), u1_compos_1(A)) &  (v1_funct_1(k4_compos_1(A)) &  (v1_finset_1(k4_compos_1(A)) & v1_afinsq_1(k4_compos_1(A))) ) ) ) ) ) ) ) ) ).
fof(fc2_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (v1_relat_1(k4_compos_1(A)) &  (v4_relat_1(k4_compos_1(A), k4_ordinal1) &  (v5_relat_1(k4_compos_1(A), u1_compos_1(A)) &  (v1_funct_1(k4_compos_1(A)) &  (v1_finset_1(k4_compos_1(A)) &  (v3_compos_1(k4_compos_1(A), A) & v4_compos_1(k4_compos_1(A), A)) ) ) ) ) ) ) ) ).
fof(rc4_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (? [B] :  ( ~ (v1_xboole_0(B))  &  (v1_zfmisc_1(B) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v5_ordinal1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) & v4_compos_1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc5_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (? [B] :  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) ) ) ) ) ).
fof(cc2_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_zfmisc_1(B) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) ) )  =>  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v4_compos_1(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(fc3_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  & v7_ordinal1(C)) )  =>  (v1_relat_1(k5_compos_1(A, B, C)) &  (v4_relat_1(k5_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k5_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k5_compos_1(A, B, C)) & v1_finset_1(k5_compos_1(A, B, C))) ) ) ) ) ) ).
fof(fc4_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( (v1_xboole_0(B) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) )  & v7_ordinal1(C)) )  =>  (v1_xboole_0(k5_compos_1(A, B, C)) &  (v1_relat_1(k5_compos_1(A, B, C)) &  (v4_relat_1(k5_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k5_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k5_compos_1(A, B, C)) & v1_finset_1(k5_compos_1(A, B, C))) ) ) ) ) ) ) ).
fof(fc5_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) )  & v7_ordinal1(C)) )  =>  ( ~ (v1_xboole_0(k5_compos_1(A, B, C)))  &  (v1_relat_1(k5_compos_1(A, B, C)) &  (v4_relat_1(k5_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k5_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k5_compos_1(A, B, C)) & v1_finset_1(k5_compos_1(A, B, C))) ) ) ) ) ) ) ).
fof(fc6_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) )  & v7_ordinal1(C)) )  =>  (v1_relat_1(k5_compos_1(A, B, C)) &  (v4_relat_1(k5_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k5_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k5_compos_1(A, B, C)) &  (v1_finset_1(k5_compos_1(A, B, C)) & v1_afinsq_1(k5_compos_1(A, B, C))) ) ) ) ) ) ) ).
fof(rd1_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) )  => k5_compos_1(A, B, k5_numbers)=B) ) ).
fof(fc7_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) )  &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k7_compos_1(A, B, C)))  &  (v1_relat_1(k7_compos_1(A, B, C)) &  (v4_relat_1(k7_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k7_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k7_compos_1(A, B, C)) & v1_finset_1(k7_compos_1(A, B, C))) ) ) ) ) ) ) ).
fof(fc8_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) & v1_afinsq_1(C)) ) ) ) ) ) ) )  =>  (v1_relat_1(k7_compos_1(A, B, C)) &  (v4_relat_1(k7_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k7_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k7_compos_1(A, B, C)) &  (v1_finset_1(k7_compos_1(A, B, C)) & v1_afinsq_1(k7_compos_1(A, B, C))) ) ) ) ) ) ) ).
fof(fc9_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) & v1_afinsq_1(C)) ) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k7_compos_1(A, B, C)))  &  (v1_relat_1(k7_compos_1(A, B, C)) &  (v4_relat_1(k7_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k7_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k7_compos_1(A, B, C)) &  (v1_finset_1(k7_compos_1(A, B, C)) & v1_afinsq_1(k7_compos_1(A, B, C))) ) ) ) ) ) ) ) ).
fof(fc10_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_afinsq_1(C) & v3_compos_1(C, A)) ) ) ) ) ) ) ) )  =>  (v1_relat_1(k7_compos_1(A, B, C)) &  (v4_relat_1(k7_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k7_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k7_compos_1(A, B, C)) &  (v1_finset_1(k7_compos_1(A, B, C)) & v3_compos_1(k7_compos_1(A, B, C), A)) ) ) ) ) ) ) ).
fof(fc11_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) & v4_compos_1(B, A)) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_afinsq_1(C) & v4_compos_1(C, A)) ) ) ) ) ) ) ) )  =>  (v1_relat_1(k7_compos_1(A, B, C)) &  (v4_relat_1(k7_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k7_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k7_compos_1(A, B, C)) &  (v1_finset_1(k7_compos_1(A, B, C)) & v4_compos_1(k7_compos_1(A, B, C), A)) ) ) ) ) ) ) ).
fof(rd2_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) & v7_ordinal1(B))  => k5_compos_1(A, k4_compos_1(A), B)=k4_compos_1(A)) ) ).
fof(rd3_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) & v4_compos_1(B, A)) ) ) ) ) ) ) ) )  => k8_compos_1(A, B, k4_compos_1(A))=B) ) ).
fof(rd4_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) & v4_compos_1(B, A)) ) ) ) ) ) ) ) )  => k8_compos_1(A, k4_compos_1(A), B)=B) ) ).
fof(fc12_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k10_compos_1(A, B)))  &  (v1_relat_1(k10_compos_1(A, B)) &  (v4_relat_1(k10_compos_1(A, B), k4_ordinal1) &  (v5_relat_1(k10_compos_1(A, B), u1_compos_1(A)) &  (v1_funct_1(k10_compos_1(A, B)) &  (v1_finset_1(k10_compos_1(A, B)) & v1_afinsq_1(k10_compos_1(A, B))) ) ) ) ) ) ) ) ).
fof(fc13_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) & m1_subset_1(B, u1_compos_1(A)))  =>  ( ~ (v1_xboole_0(k11_compos_1(A, B)))  &  (v1_relat_1(k11_compos_1(A, B)) &  (v4_relat_1(k11_compos_1(A, B), k4_ordinal1) &  (v5_relat_1(k11_compos_1(A, B), u1_compos_1(A)) &  (v1_funct_1(k11_compos_1(A, B)) &  (v1_finset_1(k11_compos_1(A, B)) & v1_afinsq_1(k11_compos_1(A, B))) ) ) ) ) ) ) ) ).
fof(fc14_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (v1_relat_1(k4_compos_1(A)) &  (v4_relat_1(k4_compos_1(A), k4_ordinal1) &  (v5_relat_1(k4_compos_1(A), u1_compos_1(A)) &  (v1_funct_1(k4_compos_1(A)) &  (v1_finset_1(k4_compos_1(A)) & v3_compos_1(k4_compos_1(A), A)) ) ) ) ) ) ) ).
fof(rc6_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (? [B] :  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v5_ordinal1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  ~ (v2_compos_1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc15_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) & v1_funct_1(B)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  ~ (v2_compos_1(C, A)) ) ) ) ) ) )  =>  (v1_relat_1(k1_funct_4(B, C)) &  (v1_funct_1(k1_funct_4(B, C)) &  ~ (v2_compos_1(k1_funct_4(B, C), A)) ) ) ) ) ).
fof(fc16_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  ~ (v2_compos_1(B, A)) ) ) ) ) )  & v7_ordinal1(C)) )  =>  (v1_relat_1(k6_compos_1(A, B, C)) &  (v4_relat_1(k6_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k6_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k6_compos_1(A, B, C)) &  (v1_finset_1(k6_compos_1(A, B, C)) &  ~ (v2_compos_1(k6_compos_1(A, B, C), A)) ) ) ) ) ) ) ) ).
fof(rc7_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (? [B] :  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v5_ordinal1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  ~ (v2_compos_1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rd5_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) )  => k6_compos_1(A, B, k5_numbers)=B) ) ).
fof(rc8_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (? [B] :  (v1_xboole_0(B) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) ) ) ) ) ).
fof(cc3_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( (v1_xboole_0(B) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) )  =>  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v2_compos_1(B, A)) ) ) ) ) ) ) ) ) ).
fof(cc4_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v2_compos_1(B, A)) ) ) ) ) )  =>  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v4_compos_1(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(rd6_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  => k63_valued_1(k10_compos_1(A, B))=B) ) ).
fof(fc17_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) & v2_compos_1(B, A)) ) ) ) ) ) )  =>  (v1_relat_1(k10_compos_1(A, B)) &  (v4_relat_1(k10_compos_1(A, B), k4_ordinal1) &  (v5_relat_1(k10_compos_1(A, B), u1_compos_1(A)) &  (v1_funct_1(k10_compos_1(A, B)) &  (v1_finset_1(k10_compos_1(A, B)) & v4_compos_1(k10_compos_1(A, B), A)) ) ) ) ) ) ) ).
fof(fc18_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_afinsq_1(C) &  ~ (v2_compos_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (v1_relat_1(k7_compos_1(A, B, C)) &  (v4_relat_1(k7_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k7_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k7_compos_1(A, B, C)) &  (v1_finset_1(k7_compos_1(A, B, C)) &  ~ (v2_compos_1(k7_compos_1(A, B, C), A)) ) ) ) ) ) ) ) ).
fof(fc19_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) ) )  =>  (v1_relat_1(k10_compos_1(A, B)) &  (v4_relat_1(k10_compos_1(A, B), k4_ordinal1) &  (v5_relat_1(k10_compos_1(A, B), u1_compos_1(A)) &  (v1_funct_1(k10_compos_1(A, B)) &  (v1_finset_1(k10_compos_1(A, B)) & v3_compos_1(k10_compos_1(A, B), A)) ) ) ) ) ) ) ).
fof(d8_compos_1, axiom,  (! [A] :  ( (v1_compos_1(A) & l1_compos_1(A))  =>  (A=k1_compos_1 <=> u1_compos_1(A)=k1_tarski(k3_xtuple_0(k5_numbers, k1_xboole_0, k1_xboole_0))) ) ) ).
fof(d10_compos_1, axiom,  (! [A] :  (l1_compos_1(A) => k2_compos_1(A)=k9_compos_0(u1_compos_1(A))) ) ).
fof(d11_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_compos_1(A)) & v1_funct_1(B)) )  =>  (v2_compos_1(B, A) <=>  ~ (r2_tarski(k2_compos_1(A), k10_xtuple_0(B))) ) ) ) ) ) ).
fof(d12_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) & v1_funct_1(B)) ) )  =>  (! [C] :  (r1_compos_1(A, B, C) <=>  (r2_tarski(C, k9_xtuple_0(B)) & k1_funct_1(B, C)=k2_compos_1(A)) ) ) ) ) ) ) ).
fof(d13_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (r1_compos_1(A, B, C) <=> k3_compos_1(A, B, C)=k2_compos_1(A)) ) ) ) ) ) ) ).
fof(d14_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) )  =>  (v3_compos_1(B, A) <=> k1_funct_1(B, k62_valued_1(B))=k2_compos_1(A)) ) ) ) ) ).
fof(d15_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) )  =>  (v4_compos_1(B, A) <=>  (! [C] :  (v7_ordinal1(C) =>  ( (k1_funct_1(B, C)=k2_compos_1(A) & r2_tarski(C, k9_xtuple_0(B)))  => C=k62_valued_1(B)) ) ) ) ) ) ) ) ).
fof(t2_compos_1, axiom,  (! [A] :  (m1_subset_1(A, u1_compos_1(k1_compos_1)) => k5_compos_0(u1_compos_1(k1_compos_1), A)=k5_numbers) ) ).
fof(d16_compos_1, axiom,  (! [A] :  (l1_compos_1(A) => k4_compos_1(A)=k3_afinsq_1(k2_compos_1(A))) ) ).
fof(t3_compos_1, axiom,  (! [A] :  (l1_compos_1(A) => r2_tarski(k5_numbers, k2_afinsq_1(k4_compos_1(A)))) ) ).
fof(t4_compos_1, axiom,  (! [A] :  (l1_compos_1(A) => k4_card_1(k4_compos_1(A))=1) ) ).
fof(t5_compos_1, axiom,  (! [A] :  (m1_subset_1(A, u1_compos_1(k1_compos_1)) => k2_compos_0(A)=k5_numbers) ) ).
fof(t6_compos_1, axiom,  (! [A] :  (m1_subset_1(A, k4_compos_0(u1_compos_1(k1_compos_1))) => k6_compos_0(u1_compos_1(k1_compos_1), A)=k6_domain_1(k4_ordinal1, k5_numbers)) ) ).
fof(t8_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) & v4_compos_1(B, A)) ) ) ) ) ) ) )  =>  (k4_card_1(B)=1 => B=k4_compos_1(A)) ) ) ) ) ).
fof(t9_compos_1, axiom,  (! [A] :  (l1_compos_1(A) => k62_valued_1(k4_compos_1(A))=k5_numbers) ) ).
fof(d21_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(A)) &  (v1_funct_1(D) & v1_finset_1(D)) ) ) )  =>  (D=k5_compos_1(A, B, C) <=>  (k9_xtuple_0(D)=k9_xtuple_0(B) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k9_xtuple_0(B)) => k1_funct_1(D, E)=k8_compos_0(u1_compos_1(A), k7_partfun1(u1_compos_1(A), B, E), C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_compos_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (l1_compos_1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(C)) &  (v1_funct_1(D) & v1_finset_1(D)) ) ) )  => k5_compos_1(C, k5_compos_1(C, D, A), B)=k5_compos_1(C, D, k2_xcmplx_0(A, B))) ) ) ) ) ) ) ) ).
fof(d22_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  =>  (! [C] :  (v7_ordinal1(C) => k6_compos_1(A, B, C)=k61_valued_1(k5_compos_1(A, B, C), C)) ) ) ) ) ) ).
fof(t18_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) )  => r1_xboole_0(k2_afinsq_1(k63_valued_1(B)), k9_xtuple_0(k6_compos_1(A, C, k7_nat_d(k4_card_1(B), 1))))) ) ) ) ) ) ).
fof(t19_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) & v4_compos_1(B, A)) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(C, k2_afinsq_1(k63_valued_1(B))) & k1_funct_1(k63_valued_1(B), C)=k2_compos_1(A)) ) ) ) ) ) ) ) ).
fof(d23_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) )  => k7_compos_1(A, B, C)=k1_funct_4(k63_valued_1(B), k6_compos_1(A, C, k7_nat_d(k4_card_1(B), 1)))) ) ) ) ) ) ).
fof(t20_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) )  =>  (k4_card_1(k7_compos_1(A, B, C))=k6_xcmplx_0(k1_nat_1(k4_card_1(B), k4_card_1(C)), 1) & k4_card_1(k7_compos_1(A, B, C))=k7_nat_d(k1_nat_1(k4_card_1(B), k4_card_1(C)), 1)) ) ) ) ) ) ) ).
fof(t21_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) & v1_afinsq_1(C)) ) ) ) ) )  => r1_ordinal1(k2_afinsq_1(B), k2_afinsq_1(k7_compos_1(A, B, C)))) ) ) ) ) ) ).
fof(t22_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) & v1_afinsq_1(C)) ) ) ) ) )  => r1_tarski(k63_valued_1(B), k63_valued_1(k7_compos_1(A, B, C)))) ) ) ) ) ) ).
fof(t23_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) & v1_afinsq_1(C)) ) ) ) ) )  => k1_funct_1(k7_compos_1(A, B, C), k62_valued_1(B))=k1_funct_1(k5_compos_1(A, C, k7_nat_d(k4_card_1(B), 1)), k5_numbers)) ) ) ) ) ) ).
fof(t24_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) & v1_afinsq_1(C)) ) ) ) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  ( ~ (r1_xxreal_0(k6_xcmplx_0(k4_card_1(B), 1), D))  => k1_funct_1(k5_compos_1(A, B, k7_nat_d(k4_card_1(B), 1)), D)=k1_funct_1(k5_compos_1(A, k7_compos_1(A, B, C), k7_nat_d(k4_card_1(B), 1)), D)) ) ) ) ) ) ) ) ) ).
fof(t26_compos_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (l1_compos_1(B) => k61_valued_1(k4_compos_1(B), A)=k17_funcop_1(A, k2_compos_1(B))) ) ) ) ).
fof(t27_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) & v4_compos_1(B, A)) ) ) ) ) ) ) )  => k8_compos_1(A, B, k4_compos_1(A))=B) ) ) ) ).
fof(t28_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) & v4_compos_1(B, A)) ) ) ) ) ) ) )  => k8_compos_1(A, k4_compos_1(A), B)=B) ) ) ) ).
fof(t29_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) & v4_compos_1(B, A)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_afinsq_1(C) &  (v3_compos_1(C, A) & v4_compos_1(C, A)) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(A)) &  (v1_funct_1(D) &  (v1_finset_1(D) &  (v1_afinsq_1(D) &  (v3_compos_1(D, A) & v4_compos_1(D, A)) ) ) ) ) ) ) )  => k8_compos_1(A, k8_compos_1(A, B, C), D)=k8_compos_1(A, B, k8_compos_1(A, C, D))) ) ) ) ) ) ) ) ).
fof(t32_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) )  => k9_xtuple_0(k6_compos_1(A, C, B))=k9_xtuple_0(k61_valued_1(C, B))) ) ) ) ) ) ).
fof(t34_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(A)) &  (v1_funct_1(D) & v1_finset_1(D)) ) ) )  => k61_valued_1(k5_compos_1(A, D, B), C)=k5_compos_1(A, k61_valued_1(D, C), B)) ) ) ) ) ) ) ) ).
fof(t35_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, u1_compos_1(A)) =>  ( (r2_tarski(B, k9_xtuple_0(C)) & E=k1_funct_1(C, B))  => k8_compos_0(u1_compos_1(A), E, D)=k1_funct_1(k6_compos_1(A, C, D), k2_xcmplx_0(B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d24_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) )  => k10_compos_1(A, B)=k1_ordinal4(B, k4_compos_1(A))) ) ) ) ).
fof(t36_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  => r2_tarski(k5_numbers, k2_afinsq_1(k10_compos_1(A, B)))) ) ) ) ).
fof(d25_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  (m1_subset_1(B, u1_compos_1(A)) => k11_compos_1(A, B)=k10_compos_1(A, k9_compos_1(A, B))) ) ) ) ).
fof(t41_compos_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (l1_compos_1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(B)) &  (v1_funct_1(D) & v1_finset_1(D)) ) ) )  => k5_compos_1(B, k1_funct_4(C, D), A)=k1_funct_4(k5_compos_1(B, C, A), k5_compos_1(B, D, A))) ) ) ) ) ) ) ) ).
fof(t42_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) )  =>  (! [D] :  (v7_ordinal1(D) => k6_compos_1(A, k1_funct_4(B, C), D)=k1_funct_4(k6_compos_1(A, B, D), k6_compos_1(A, C, D))) ) ) ) ) ) ) ) ).
fof(t43_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k6_compos_1(A, k6_compos_1(A, B, C), D)=k6_compos_1(A, B, k2_xcmplx_0(C, D))) ) ) ) ) ) ) ) ).
fof(t44_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (r1_tarski(B, C) => r1_tarski(k6_compos_1(A, B, D), k6_compos_1(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t45_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  => k6_compos_1(A, B, k5_numbers)=B) ) ) ) ).
fof(t46_compos_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (l1_compos_1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(B)) &  (v1_funct_1(D) & v1_finset_1(D)) ) ) )  =>  (r2_tarski(A, k9_xtuple_0(D)) <=> r2_tarski(k2_xcmplx_0(A, C), k9_xtuple_0(k6_compos_1(B, D, C)))) ) ) ) ) ) ) ) ) ).
fof(t47_compos_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (l1_compos_1(B) =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_compos_1(B), u1_compos_1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_compos_1(B), u1_compos_1(B))))) )  =>  (D=k1_funct_4(k6_partfun1(u1_compos_1(B)), k17_funcop_1(k2_compos_1(B), C)) =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v5_relat_1(E, u1_compos_1(B)) &  (v1_funct_1(E) & v1_finset_1(E)) ) ) )  => k5_compos_1(B, k3_relat_1(E, D), A)=k3_relat_1(k5_compos_1(B, E, A), k1_funct_4(k6_partfun1(u1_compos_1(B)), k17_funcop_1(k2_compos_1(B), k8_compos_0(u1_compos_1(B), C, A))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) & v1_afinsq_1(C)) ) ) ) ) )  => r1_xboole_0(k2_afinsq_1(B), k9_xtuple_0(k6_compos_1(A, C, k4_card_1(B))))) ) ) ) ) ) ).
fof(t49_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) )  => k4_card_1(k6_compos_1(A, C, B))=k4_card_1(C)) ) ) ) ) ) ).
fof(t50_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  (! [C] :  (m1_subset_1(C, u1_compos_1(A)) =>  (r2_tarski(B, k2_afinsq_1(k9_compos_1(A, C))) <=> B=k5_numbers) ) ) ) ) ) ).
fof(t51_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k2_afinsq_1(k10_compos_1(A, B))) =>  (k1_funct_1(k10_compos_1(A, B), C)=k2_compos_1(A) | r2_tarski(C, k2_afinsq_1(B))) ) ) ) ) ) ) ) ).
fof(t52_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  (m1_subset_1(B, u1_compos_1(A)) =>  (k2_afinsq_1(k9_compos_1(A, B))=k6_domain_1(k4_ordinal1, k5_numbers) & k1_funct_1(k9_compos_1(A, B), k5_numbers)=B) ) ) ) ) ).
fof(t53_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  (m1_subset_1(B, u1_compos_1(A)) => r2_tarski(k5_numbers, k2_afinsq_1(k9_compos_1(A, B)))) ) ) ) ).
fof(t54_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  (m1_subset_1(B, u1_compos_1(A)) => k4_card_1(k9_compos_1(A, B))=1) ) ) ) ).
fof(t55_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  => k4_card_1(k10_compos_1(A, B))=k1_nat_1(k4_card_1(B), 1)) ) ) ) ).
fof(t56_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  (m1_subset_1(B, u1_compos_1(A)) => k4_card_1(k11_compos_1(A, B))=2) ) ) ) ).
fof(t57_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  (m1_subset_1(B, u1_compos_1(A)) =>  (r2_tarski(k5_numbers, k2_afinsq_1(k11_compos_1(A, B))) & r2_tarski(1, k2_afinsq_1(k11_compos_1(A, B)))) ) ) ) ) ).
fof(t58_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  (m1_subset_1(B, u1_compos_1(A)) => k1_funct_1(k11_compos_1(A, B), k5_numbers)=B) ) ) ) ).
fof(t59_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  (m1_subset_1(B, u1_compos_1(A)) => k1_funct_1(k11_compos_1(A, B), 1)=k2_compos_1(A)) ) ) ) ).
fof(t60_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  (! [C] :  (m1_subset_1(C, u1_compos_1(A)) =>  (r2_tarski(B, k2_afinsq_1(k11_compos_1(A, C))) <=>  (B=k5_numbers | B=1) ) ) ) ) ) ) ).
fof(t61_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  (m1_subset_1(B, u1_compos_1(A)) => k2_afinsq_1(k11_compos_1(A, B))=k7_domain_1(k4_ordinal1, k5_numbers, 1)) ) ) ) ).
fof(t62_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k2_afinsq_1(B)) => r2_tarski(C, k2_afinsq_1(k10_compos_1(A, B)))) ) ) ) ) ) ) ).
fof(t63_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) & v1_afinsq_1(C)) ) ) ) )  =>  (r2_tarski(B, k2_afinsq_1(C)) => k1_funct_1(k10_compos_1(A, C), B)=k1_funct_1(C, B)) ) ) ) ) ) ) ).
fof(t64_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  =>  (r2_tarski(k4_card_1(B), k2_afinsq_1(k10_compos_1(A, B))) & k1_funct_1(k10_compos_1(A, B), k4_card_1(B))=k2_compos_1(A)) ) ) ) ) ).
fof(t65_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) & v1_afinsq_1(C)) ) ) ) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k2_afinsq_1(C)) => k1_funct_1(k61_valued_1(k10_compos_1(A, C), B), k2_xcmplx_0(D, B))=k1_funct_1(k61_valued_1(C, B), k2_xcmplx_0(D, B))) ) ) ) ) ) ) ) ) ).
fof(t66_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) & v1_afinsq_1(C)) ) ) ) ) )  => k1_funct_1(k61_valued_1(k10_compos_1(A, C), B), B)=k1_funct_1(k61_valued_1(C, B), B)) ) ) ) ) ) ).
fof(d27_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) & v1_funct_1(B)) ) )  =>  (v2_compos_1(B, A) <=>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(C, k9_xtuple_0(B)) & k1_funct_1(B, C)=k2_compos_1(A)) ) ) ) ) ) ) ) ) ).
fof(t67_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  (m1_subset_1(B, u1_compos_1(A)) => k10_xtuple_0(k11_compos_1(A, B))=k7_domain_1(u1_compos_1(A), B, k2_compos_1(A))) ) ) ) ).
fof(t68_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) )  => k63_valued_1(k10_compos_1(A, B))=B) ) ) ) ).
fof(t69_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  => k63_valued_1(k10_compos_1(A, B))=B) ) ) ) ).
fof(t70_compos_1, axiom,  (! [A] :  (l1_compos_1(A) => k5_compos_0(u1_compos_1(A), k2_compos_1(A))=k5_numbers) ) ).
fof(t71_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) )  => k7_nat_d(k4_card_1(k10_compos_1(A, B)), 1)=k4_card_1(B)) ) ) ) ).
fof(t72_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) )  => k4_card_1(k10_compos_1(A, B))=k1_nat_1(k4_card_1(B), 1)) ) ) ) ).
fof(t73_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  => k62_valued_1(k10_compos_1(A, B))=k4_card_1(B)) ) ) ) ).
fof(t74_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_compos_1(A)) => k11_compos_1(A, k8_compos_0(u1_compos_1(A), C, B))=k5_compos_1(A, k11_compos_1(A, C), B)) ) ) ) ) ) ).
fof(t75_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) & v1_afinsq_1(C)) ) ) ) ) )  => k7_compos_1(A, C, B)=k1_ordinal4(k63_valued_1(C), k5_compos_1(A, B, k7_nat_d(k4_card_1(C), 1)))) ) ) ) ) ) ).
fof(t76_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_compos_1(A)) => k5_compos_1(A, k11_compos_1(A, C), B)=k1_ordinal4(k5_compos_1(A, k9_compos_1(A, C), B), k4_compos_1(A))) ) ) ) ) ) ).
fof(t77_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) & v1_afinsq_1(C)) ) ) ) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  ( ~ (r1_xxreal_0(k62_valued_1(B), D))  => k1_funct_1(B, D)=k1_funct_1(k7_compos_1(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(abstractness_v1_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (v1_compos_1(A) => A=g1_compos_1(u1_compos_1(A))) ) ) ).
fof(existence_l1_compos_1, axiom,  (? [A] : l1_compos_1(A)) ).
fof(dt_g1_compos_1, axiom,  (! [A] :  ( (v1_compos_0(A) &  (v2_compos_0(A) &  (v3_compos_0(A) & v5_compos_0(A)) ) )  =>  (v1_compos_1(g1_compos_1(A)) & l1_compos_1(g1_compos_1(A))) ) ) ).
fof(free_g1_compos_1, axiom,  (! [A] :  ( (v1_compos_0(A) &  (v2_compos_0(A) &  (v3_compos_0(A) & v5_compos_0(A)) ) )  =>  (! [B] :  (g1_compos_1(A)=g1_compos_1(B) => A=B) ) ) ) ).
fof(dt_u1_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (v1_compos_0(u1_compos_1(A)) &  (v2_compos_0(u1_compos_1(A)) &  (v3_compos_0(u1_compos_1(A)) & v5_compos_0(u1_compos_1(A))) ) ) ) ) ).
fof(dt_k1_compos_1, axiom,  (v1_compos_1(k1_compos_1) & l1_compos_1(k1_compos_1)) ).
fof(dt_k2_compos_1, axiom,  (! [A] :  (l1_compos_1(A) => m1_subset_1(k2_compos_1(A), u1_compos_1(A))) ) ).
fof(dt_k3_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) ) )  & v7_ordinal1(C)) )  => m1_subset_1(k3_compos_1(A, B, C), u1_compos_1(A))) ) ).
fof(redefinition_k3_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) ) )  & v7_ordinal1(C)) )  => k3_compos_1(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k4_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (v1_relat_1(k4_compos_1(A)) &  (v4_relat_1(k4_compos_1(A), k4_ordinal1) &  (v5_relat_1(k4_compos_1(A), u1_compos_1(A)) &  (v1_funct_1(k4_compos_1(A)) & v1_finset_1(k4_compos_1(A))) ) ) ) ) ) ).
fof(dt_k5_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  & v7_ordinal1(C)) )  =>  (v1_relat_1(k5_compos_1(A, B, C)) &  (v4_relat_1(k5_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k5_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k5_compos_1(A, B, C)) & v1_finset_1(k5_compos_1(A, B, C))) ) ) ) ) ) ).
fof(dt_k6_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  & v7_ordinal1(C)) )  =>  (v1_relat_1(k6_compos_1(A, B, C)) &  (v4_relat_1(k6_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k6_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k6_compos_1(A, B, C)) & v1_finset_1(k6_compos_1(A, B, C))) ) ) ) ) ) ).
fof(dt_k7_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) )  &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) ) ) )  =>  (v1_relat_1(k7_compos_1(A, B, C)) &  (v4_relat_1(k7_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k7_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k7_compos_1(A, B, C)) & v1_finset_1(k7_compos_1(A, B, C))) ) ) ) ) ) ).
fof(dt_k8_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) & v4_compos_1(B, A)) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_afinsq_1(C) &  (v3_compos_1(C, A) & v4_compos_1(C, A)) ) ) ) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k8_compos_1(A, B, C)))  &  (v1_relat_1(k8_compos_1(A, B, C)) &  (v4_relat_1(k8_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k8_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k8_compos_1(A, B, C)) &  (v1_finset_1(k8_compos_1(A, B, C)) &  (v1_afinsq_1(k8_compos_1(A, B, C)) &  (v3_compos_1(k8_compos_1(A, B, C), A) & v4_compos_1(k8_compos_1(A, B, C), A)) ) ) ) ) ) ) ) ) ) ).
fof(redefinition_k8_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) & v4_compos_1(B, A)) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_afinsq_1(C) &  (v3_compos_1(C, A) & v4_compos_1(C, A)) ) ) ) ) ) ) ) ) )  => k8_compos_1(A, B, C)=k7_compos_1(A, B, C)) ) ).
fof(dt_k9_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) & m1_subset_1(B, u1_compos_1(A)))  =>  (v1_relat_1(k9_compos_1(A, B)) &  (v4_relat_1(k9_compos_1(A, B), k4_ordinal1) &  (v5_relat_1(k9_compos_1(A, B), u1_compos_1(A)) &  (v1_funct_1(k9_compos_1(A, B)) & v1_finset_1(k9_compos_1(A, B))) ) ) ) ) ) ).
fof(redefinition_k9_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) & m1_subset_1(B, u1_compos_1(A)))  => k9_compos_1(A, B)=k3_afinsq_1(B)) ) ).
fof(dt_k10_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  =>  (v1_relat_1(k10_compos_1(A, B)) &  (v4_relat_1(k10_compos_1(A, B), k4_ordinal1) &  (v5_relat_1(k10_compos_1(A, B), u1_compos_1(A)) &  (v1_funct_1(k10_compos_1(A, B)) & v1_finset_1(k10_compos_1(A, B))) ) ) ) ) ) ).
fof(dt_k11_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) & m1_subset_1(B, u1_compos_1(A)))  =>  (v1_relat_1(k11_compos_1(A, B)) &  (v4_relat_1(k11_compos_1(A, B), k4_ordinal1) &  (v5_relat_1(k11_compos_1(A, B), u1_compos_1(A)) &  (v1_funct_1(k11_compos_1(A, B)) & v1_finset_1(k11_compos_1(A, B))) ) ) ) ) ) ).
fof(t33_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) )  => k9_xtuple_0(k6_compos_1(A, C, B))=a_3_0_compos_1(A, B, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_compos_1, axiom,  (! [A, B, C, D] :  ( (l1_compos_1(B) &  (v7_ordinal1(C) &  (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(B)) &  (v1_funct_1(D) & v1_finset_1(D)) ) ) ) ) )  =>  (r2_hidden(A, a_3_0_compos_1(B, C, D)) <=>  (? [E] :  (v7_ordinal1(E) &  (A=k2_xcmplx_0(E, C) & r2_tarski(E, k9_xtuple_0(D))) ) ) ) ) ) ).
fof(rc1_compos_2, axiom,  (? [A] :  (l1_compos_1(A) & v1_amistd_4(A)) ) ).
fof(rc2_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (? [B] :  (m1_subset_1(B, u1_compos_1(A)) & v6_compos_0(B, u1_compos_1(A))) ) ) ) ).
fof(fc1_compos_2, axiom,  (! [A, B] :  ( ( (v1_amistd_4(A) & l1_compos_1(A))  &  (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A))) )  =>  (v1_relat_1(k11_compos_1(A, B)) &  (v4_relat_1(k11_compos_1(A, B), k4_ordinal1) &  (v5_relat_1(k11_compos_1(A, B), u1_compos_1(A)) &  (v1_funct_1(k11_compos_1(A, B)) &  (v1_finset_1(k11_compos_1(A, B)) &  (v3_compos_1(k11_compos_1(A, B), A) & v4_compos_1(k11_compos_1(A, B), A)) ) ) ) ) ) ) ) ).
fof(fc2_compos_2, axiom,  (! [A, B] :  ( ( (v1_amistd_4(A) & l1_compos_1(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v4_compos_1(B, A)) ) ) ) ) ) )  =>  (v1_relat_1(k63_valued_1(B)) &  (v1_funct_1(k63_valued_1(B)) & v2_compos_1(k63_valued_1(B), A)) ) ) ) ).
fof(fc3_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (v1_relat_1(k4_compos_1(A)) &  (v4_relat_1(k4_compos_1(A), k4_ordinal1) &  (v5_relat_1(k4_compos_1(A), u1_compos_1(A)) &  (v1_funct_1(k4_compos_1(A)) &  (v1_finset_1(k4_compos_1(A)) & v1_compos_2(k4_compos_1(A), A)) ) ) ) ) ) ) ).
fof(rc3_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (? [B] :  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v5_ordinal1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  ( ~ (v2_compos_1(B, A))  &  (v3_compos_1(B, A) &  (v4_compos_1(B, A) & v1_compos_2(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc4_compos_2, axiom,  (! [A, B, C] :  ( ( (v1_amistd_4(A) & l1_compos_1(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) &  (v4_compos_1(B, A) & v1_compos_2(B, A)) ) ) ) ) ) ) ) )  & v7_ordinal1(C)) )  =>  (v1_relat_1(k6_compos_1(A, B, C)) &  (v4_relat_1(k6_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k6_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k6_compos_1(A, B, C)) &  (v1_finset_1(k6_compos_1(A, B, C)) & v1_compos_2(k6_compos_1(A, B, C), A)) ) ) ) ) ) ) ).
fof(fc5_compos_2, axiom,  (! [A, B, C] :  ( ( (v1_amistd_4(A) & l1_compos_1(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) &  (v4_compos_1(B, A) & v1_compos_2(B, A)) ) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_afinsq_1(C) &  (v3_compos_1(C, A) &  (v4_compos_1(C, A) & v1_compos_2(C, A)) ) ) ) ) ) ) ) ) ) )  =>  (v1_relat_1(k7_compos_1(A, B, C)) &  (v4_relat_1(k7_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k7_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k7_compos_1(A, B, C)) &  (v1_finset_1(k7_compos_1(A, B, C)) & v1_compos_2(k7_compos_1(A, B, C), A)) ) ) ) ) ) ) ).
fof(rc4_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (? [B] :  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v5_ordinal1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) & v2_compos_1(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc6_compos_2, axiom,  (! [A, B, C] :  ( ( (v1_amistd_4(A) & l1_compos_1(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) & v2_compos_1(B, A)) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_afinsq_1(C) & v2_compos_1(C, A)) ) ) ) ) ) ) ) )  =>  (v1_relat_1(k1_ordinal4(B, C)) &  (v1_funct_1(k1_ordinal4(B, C)) &  (v5_ordinal1(k1_ordinal4(B, C)) & v2_compos_1(k1_ordinal4(B, C), A)) ) ) ) ) ).
fof(fc7_compos_2, axiom,  (! [A, B] :  ( ( (v1_amistd_4(A) & l1_compos_1(A))  &  (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A))) )  => v2_compos_1(k3_afinsq_1(B), A)) ) ).
fof(d1_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_afinsq_1(C) &  (v3_compos_1(C, A) & v4_compos_1(C, A)) ) ) ) ) ) ) )  => k1_compos_2(A, B, C)=k8_compos_1(A, k11_compos_1(A, B), C)) ) ) ) ) ) ).
fof(d2_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) & v4_compos_1(B, A)) ) ) ) ) ) ) )  =>  (! [C] :  ( (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A)))  => k2_compos_2(A, B, C)=k8_compos_1(A, B, k11_compos_1(A, C))) ) ) ) ) ) ).
fof(d3_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A)))  => k3_compos_2(A, B, C)=k8_compos_1(A, k11_compos_1(A, B), k11_compos_1(A, C))) ) ) ) ) ) ).
fof(t1_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_afinsq_1(C) &  (v3_compos_1(C, A) & v4_compos_1(C, A)) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(A)) &  (v1_funct_1(D) &  (v1_finset_1(D) &  (v1_afinsq_1(D) &  (v3_compos_1(D, A) & v4_compos_1(D, A)) ) ) ) ) ) ) )  => k2_compos_2(A, k8_compos_1(A, C, D), B)=k8_compos_1(A, C, k2_compos_2(A, D, B))) ) ) ) ) ) ) ) ).
fof(t2_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_afinsq_1(C) &  (v3_compos_1(C, A) & v4_compos_1(C, A)) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(A)) &  (v1_funct_1(D) &  (v1_finset_1(D) &  (v1_afinsq_1(D) &  (v3_compos_1(D, A) & v4_compos_1(D, A)) ) ) ) ) ) ) )  => k8_compos_1(A, k2_compos_2(A, C, B), D)=k8_compos_1(A, C, k1_compos_2(A, B, D))) ) ) ) ) ) ) ) ).
fof(t3_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A)))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(A)) &  (v1_funct_1(D) &  (v1_finset_1(D) &  (v1_afinsq_1(D) &  (v3_compos_1(D, A) & v4_compos_1(D, A)) ) ) ) ) ) ) )  => k2_compos_2(A, k2_compos_2(A, D, B), C)=k8_compos_1(A, D, k3_compos_2(A, B, C))) ) ) ) ) ) ) ) ).
fof(t4_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_afinsq_1(C) &  (v3_compos_1(C, A) & v4_compos_1(C, A)) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(A)) &  (v1_funct_1(D) &  (v1_finset_1(D) &  (v1_afinsq_1(D) &  (v3_compos_1(D, A) & v4_compos_1(D, A)) ) ) ) ) ) ) )  => k8_compos_1(A, k1_compos_2(A, B, C), D)=k1_compos_2(A, B, k8_compos_1(A, C, D))) ) ) ) ) ) ) ) ).
fof(t5_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A)))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(A)) &  (v1_funct_1(D) &  (v1_finset_1(D) &  (v1_afinsq_1(D) &  (v3_compos_1(D, A) & v4_compos_1(D, A)) ) ) ) ) ) ) )  => k2_compos_2(A, k1_compos_2(A, B, D), C)=k1_compos_2(A, B, k2_compos_2(A, D, C))) ) ) ) ) ) ) ) ).
fof(t6_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A)))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(A)) &  (v1_funct_1(D) &  (v1_finset_1(D) &  (v1_afinsq_1(D) &  (v3_compos_1(D, A) & v4_compos_1(D, A)) ) ) ) ) ) ) )  => k8_compos_1(A, k3_compos_2(A, B, C), D)=k1_compos_2(A, B, k1_compos_2(A, C, D))) ) ) ) ) ) ) ) ).
fof(t7_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A)))  =>  (! [D] :  ( (v6_compos_0(D, u1_compos_1(A)) & m1_subset_1(D, u1_compos_1(A)))  => k2_compos_2(A, k3_compos_2(A, B, C), D)=k1_compos_2(A, B, k3_compos_2(A, C, D))) ) ) ) ) ) ) ) ).
fof(t8_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A)))  => k3_compos_2(A, B, C)=k2_compos_2(A, k11_compos_1(A, B), C)) ) ) ) ) ) ).
fof(t9_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A)))  => k3_compos_2(A, B, C)=k1_compos_2(A, B, k11_compos_1(A, C))) ) ) ) ) ) ).
fof(t10_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_afinsq_1(C) &  (v3_compos_1(C, A) & v4_compos_1(C, A)) ) ) ) ) ) ) )  => k4_card_1(k1_compos_2(A, B, C))=k2_xcmplx_0(k4_card_1(C), 1)) ) ) ) ) ) ).
fof(t11_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_afinsq_1(C) &  (v3_compos_1(C, A) & v4_compos_1(C, A)) ) ) ) ) ) ) )  => k4_card_1(k2_compos_2(A, C, B))=k2_xcmplx_0(k4_card_1(C), 1)) ) ) ) ) ) ).
fof(t12_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A)))  => k4_card_1(k3_compos_2(A, B, C))=3) ) ) ) ) ) ).
fof(t13_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A)))  =>  (! [D] :  ( (v6_compos_0(D, u1_compos_1(A)) & m1_subset_1(D, u1_compos_1(A)))  => k4_card_1(k2_compos_2(A, k3_compos_2(A, B, C), D))=4) ) ) ) ) ) ) ) ).
fof(t14_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A)))  =>  (! [D] :  ( (v6_compos_0(D, u1_compos_1(A)) & m1_subset_1(D, u1_compos_1(A)))  =>  (! [E] :  ( (v6_compos_0(E, u1_compos_1(A)) & m1_subset_1(E, u1_compos_1(A)))  => k4_card_1(k2_compos_2(A, k2_compos_2(A, k3_compos_2(A, B, C), D), E))=5) ) ) ) ) ) ) ) ) ) ).
fof(t15_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A)))  =>  (! [D] :  ( (v6_compos_0(D, u1_compos_1(A)) & m1_subset_1(D, u1_compos_1(A)))  =>  (! [E] :  ( (v6_compos_0(E, u1_compos_1(A)) & m1_subset_1(E, u1_compos_1(A)))  =>  (! [F] :  ( (v6_compos_0(F, u1_compos_1(A)) & m1_subset_1(F, u1_compos_1(A)))  => k4_card_1(k2_compos_2(A, k2_compos_2(A, k2_compos_2(A, k3_compos_2(A, B, C), D), E), F))=6) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A)))  =>  (! [D] :  ( (v6_compos_0(D, u1_compos_1(A)) & m1_subset_1(D, u1_compos_1(A)))  =>  (! [E] :  ( (v6_compos_0(E, u1_compos_1(A)) & m1_subset_1(E, u1_compos_1(A)))  =>  (! [F] :  ( (v6_compos_0(F, u1_compos_1(A)) & m1_subset_1(F, u1_compos_1(A)))  =>  (! [G] :  ( (v6_compos_0(G, u1_compos_1(A)) & m1_subset_1(G, u1_compos_1(A)))  => k4_card_1(k2_compos_2(A, k2_compos_2(A, k2_compos_2(A, k2_compos_2(A, k3_compos_2(A, B, C), D), E), F), G))=7) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_compos_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  =>  (! [B] :  (r1_compos_2(A, B) <=> r1_tarski(k63_valued_1(A), B)) ) ) ) ).
fof(t17_compos_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  =>  ~ (r2_tarski(k62_valued_1(A), k9_xtuple_0(k63_valued_1(A)))) ) ) ).
fof(t18_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) & v4_compos_1(B, A)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_afinsq_1(C) & v3_compos_1(C, A)) ) ) ) ) ) )  =>  (r1_tarski(k63_valued_1(B), C) => r1_tarski(k63_valued_1(B), k63_valued_1(C))) ) ) ) ) ) ) ).
fof(t19_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) & v4_compos_1(B, A)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_afinsq_1(C) &  (v3_compos_1(C, A) & v4_compos_1(C, A)) ) ) ) ) ) ) )  =>  (! [D] :  ( (r2_compos_2(B, C) & r1_compos_2(C, D))  => r1_compos_2(B, D)) ) ) ) ) ) ) ) ).
fof(t20_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) & v3_compos_1(B, A)) ) ) ) ) ) )  => B=k1_funct_4(k63_valued_1(B), k17_funcop_1(k62_valued_1(B), k2_compos_1(A)))) ) ) ) ).
fof(t21_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) & v4_compos_1(B, A)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_afinsq_1(C) & v3_compos_1(C, A)) ) ) ) ) ) )  =>  (k63_valued_1(C)=k63_valued_1(B) => C=B) ) ) ) ) ) ) ).
fof(t22_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) & v4_compos_1(B, A)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_afinsq_1(C) &  (v3_compos_1(C, A) & v4_compos_1(C, A)) ) ) ) ) ) ) )  =>  ( (r2_compos_2(B, C) & r2_compos_2(C, B))  => B=C) ) ) ) ) ) ) ).
fof(t23_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) & v4_compos_1(B, A)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_afinsq_1(C) &  (v3_compos_1(C, A) & v4_compos_1(C, A)) ) ) ) ) ) ) )  => r2_compos_2(B, k8_compos_1(A, B, C))) ) ) ) ) ) ).
fof(t24_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) & v4_compos_1(B, A)) ) ) ) ) ) ) )  =>  (! [C] :  (r1_tarski(B, C) => r1_compos_2(B, C)) ) ) ) ) ) ).
fof(t25_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) & v4_compos_1(B, A)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_afinsq_1(C) &  (v3_compos_1(C, A) & v4_compos_1(C, A)) ) ) ) ) ) ) )  =>  (r2_compos_2(B, C) =>  (! [D] :  (r1_tarski(C, D) => r1_compos_2(B, D)) ) ) ) ) ) ) ) ) ).
fof(t26_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) & v4_compos_1(B, A)) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (r1_xxreal_0(k62_valued_1(B), C))  <=> r2_tarski(C, k2_afinsq_1(k63_valued_1(B)))) ) ) ) ) ) ) ).
fof(t27_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) & v4_compos_1(B, A)) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (r1_xxreal_0(k62_valued_1(B), C))  => k1_funct_1(k63_valued_1(B), C)=k1_funct_1(B, C)) ) ) ) ) ) ) ).
fof(t28_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) & v4_compos_1(B, A)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_afinsq_1(C) &  (v3_compos_1(C, A) & v4_compos_1(C, A)) ) ) ) ) ) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (r2_compos_2(B, C) =>  (r1_xxreal_0(k62_valued_1(B), D) | k1_funct_1(B, D)=k1_funct_1(C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t30_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  => k62_valued_1(k11_compos_1(A, B))=1) ) ) ) ).
fof(t31_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A)))  => k62_valued_1(k3_compos_2(A, B, C))=2) ) ) ) ) ) ).
fof(t32_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A)))  =>  (! [D] :  ( (v6_compos_0(D, u1_compos_1(A)) & m1_subset_1(D, u1_compos_1(A)))  => k62_valued_1(k2_compos_2(A, k3_compos_2(A, B, C), D))=3) ) ) ) ) ) ) ) ).
fof(t33_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A)))  =>  (! [D] :  ( (v6_compos_0(D, u1_compos_1(A)) & m1_subset_1(D, u1_compos_1(A)))  =>  (! [E] :  ( (v6_compos_0(E, u1_compos_1(A)) & m1_subset_1(E, u1_compos_1(A)))  => k62_valued_1(k2_compos_2(A, k2_compos_2(A, k3_compos_2(A, B, C), D), E))=4) ) ) ) ) ) ) ) ) ) ).
fof(t34_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A)))  =>  (! [D] :  ( (v6_compos_0(D, u1_compos_1(A)) & m1_subset_1(D, u1_compos_1(A)))  =>  (! [E] :  ( (v6_compos_0(E, u1_compos_1(A)) & m1_subset_1(E, u1_compos_1(A)))  =>  (! [F] :  ( (v6_compos_0(F, u1_compos_1(A)) & m1_subset_1(F, u1_compos_1(A)))  => k62_valued_1(k2_compos_2(A, k2_compos_2(A, k2_compos_2(A, k3_compos_2(A, B, C), D), E), F))=5) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A)))  =>  (! [D] :  ( (v6_compos_0(D, u1_compos_1(A)) & m1_subset_1(D, u1_compos_1(A)))  =>  (! [E] :  ( (v6_compos_0(E, u1_compos_1(A)) & m1_subset_1(E, u1_compos_1(A)))  =>  (! [F] :  ( (v6_compos_0(F, u1_compos_1(A)) & m1_subset_1(F, u1_compos_1(A)))  =>  (! [G] :  ( (v6_compos_0(G, u1_compos_1(A)) & m1_subset_1(G, u1_compos_1(A)))  => k62_valued_1(k2_compos_2(A, k2_compos_2(A, k2_compos_2(A, k2_compos_2(A, k3_compos_2(A, B, C), D), E), F), G))=6) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_afinsq_1(C) &  (v3_compos_1(C, A) & v4_compos_1(C, A)) ) ) ) ) ) ) )  => k1_funct_1(k1_compos_2(A, B, C), k5_numbers)=B) ) ) ) ) ) ).
fof(t37_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A)))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(A)) &  (v1_funct_1(D) &  (v1_finset_1(D) &  (v1_afinsq_1(D) &  (v3_compos_1(D, A) & v4_compos_1(D, A)) ) ) ) ) ) ) )  => k1_funct_1(k8_compos_1(A, k3_compos_2(A, B, C), D), k5_numbers)=B) ) ) ) ) ) ) ) ).
fof(t38_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A)))  =>  (! [D] :  ( (v6_compos_0(D, u1_compos_1(A)) & m1_subset_1(D, u1_compos_1(A)))  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v5_relat_1(E, u1_compos_1(A)) &  (v1_funct_1(E) &  (v1_finset_1(E) &  (v1_afinsq_1(E) &  (v3_compos_1(E, A) & v4_compos_1(E, A)) ) ) ) ) ) ) )  => k1_funct_1(k8_compos_1(A, k2_compos_2(A, k3_compos_2(A, B, C), D), E), k5_numbers)=B) ) ) ) ) ) ) ) ) ) ).
fof(t39_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) & v4_compos_1(B, A)) ) ) ) ) ) ) )  =>  (! [C] :  ( (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A)))  =>  (! [D] :  ( (v6_compos_0(D, u1_compos_1(A)) & m1_subset_1(D, u1_compos_1(A)))  =>  (! [E] :  ( (v6_compos_0(E, u1_compos_1(A)) & m1_subset_1(E, u1_compos_1(A)))  =>  (! [F] :  ( (v6_compos_0(F, u1_compos_1(A)) & m1_subset_1(F, u1_compos_1(A)))  => k1_funct_1(k8_compos_1(A, k2_compos_2(A, k2_compos_2(A, k3_compos_2(A, C, D), E), F), B), k5_numbers)=C) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) & v4_compos_1(B, A)) ) ) ) ) ) ) )  =>  (! [C] :  ( (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A)))  =>  (! [D] :  ( (v6_compos_0(D, u1_compos_1(A)) & m1_subset_1(D, u1_compos_1(A)))  =>  (! [E] :  ( (v6_compos_0(E, u1_compos_1(A)) & m1_subset_1(E, u1_compos_1(A)))  =>  (! [F] :  ( (v6_compos_0(F, u1_compos_1(A)) & m1_subset_1(F, u1_compos_1(A)))  =>  (! [G] :  ( (v6_compos_0(G, u1_compos_1(A)) & m1_subset_1(G, u1_compos_1(A)))  => k1_funct_1(k8_compos_1(A, k2_compos_2(A, k2_compos_2(A, k2_compos_2(A, k3_compos_2(A, C, D), E), F), G), B), k5_numbers)=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) & v4_compos_1(B, A)) ) ) ) ) ) ) )  =>  (! [C] :  ( (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A)))  =>  (! [D] :  ( (v6_compos_0(D, u1_compos_1(A)) & m1_subset_1(D, u1_compos_1(A)))  =>  (! [E] :  ( (v6_compos_0(E, u1_compos_1(A)) & m1_subset_1(E, u1_compos_1(A)))  =>  (! [F] :  ( (v6_compos_0(F, u1_compos_1(A)) & m1_subset_1(F, u1_compos_1(A)))  =>  (! [G] :  ( (v6_compos_0(G, u1_compos_1(A)) & m1_subset_1(G, u1_compos_1(A)))  =>  (! [H] :  ( (v6_compos_0(H, u1_compos_1(A)) & m1_subset_1(H, u1_compos_1(A)))  => k1_funct_1(k8_compos_1(A, k2_compos_2(A, k2_compos_2(A, k2_compos_2(A, k2_compos_2(A, k3_compos_2(A, C, D), E), F), G), H), B), k5_numbers)=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) & v4_compos_1(B, A)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_afinsq_1(C) &  (v3_compos_1(C, A) & v4_compos_1(C, A)) ) ) ) ) ) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  ( ~ (r1_xxreal_0(k62_valued_1(B), D))  => k1_funct_1(k8_compos_1(A, B, C), D)=k1_funct_1(B, D)) ) ) ) ) ) ) ) ) ).
fof(t43_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) & v4_compos_1(B, A)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_afinsq_1(C) &  (v3_compos_1(C, A) & v4_compos_1(C, A)) ) ) ) ) ) ) )  => k62_valued_1(k8_compos_1(A, B, C))=k2_xcmplx_0(k62_valued_1(B), k62_valued_1(C))) ) ) ) ) ) ).
fof(t44_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) & v4_compos_1(B, A)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_afinsq_1(C) &  (v3_compos_1(C, A) & v4_compos_1(C, A)) ) ) ) ) ) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(D, k62_valued_1(C)) => k1_funct_1(k8_compos_1(A, B, C), k2_xcmplx_0(k62_valued_1(B), D))=k8_compos_0(u1_compos_1(A), k7_partfun1(u1_compos_1(A), C, D), k62_valued_1(B))) ) ) ) ) ) ) ) ) ).
fof(t45_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A)))  => k1_funct_1(k3_compos_2(A, B, C), 1)=k8_compos_0(u1_compos_1(A), C, 1)) ) ) ) ) ) ).
fof(t46_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A)))  =>  (! [D] :  ( (v6_compos_0(D, u1_compos_1(A)) & m1_subset_1(D, u1_compos_1(A)))  => k1_funct_1(k2_compos_2(A, k3_compos_2(A, B, C), D), 1)=k8_compos_0(u1_compos_1(A), C, 1)) ) ) ) ) ) ) ) ).
fof(t47_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A)))  =>  (! [D] :  ( (v6_compos_0(D, u1_compos_1(A)) & m1_subset_1(D, u1_compos_1(A)))  =>  (! [E] :  ( (v6_compos_0(E, u1_compos_1(A)) & m1_subset_1(E, u1_compos_1(A)))  => k1_funct_1(k2_compos_2(A, k2_compos_2(A, k3_compos_2(A, B, C), D), E), 1)=k8_compos_0(u1_compos_1(A), C, 1)) ) ) ) ) ) ) ) ) ) ).
fof(t48_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A)))  =>  (! [D] :  ( (v6_compos_0(D, u1_compos_1(A)) & m1_subset_1(D, u1_compos_1(A)))  =>  (! [E] :  ( (v6_compos_0(E, u1_compos_1(A)) & m1_subset_1(E, u1_compos_1(A)))  =>  (! [F] :  ( (v6_compos_0(F, u1_compos_1(A)) & m1_subset_1(F, u1_compos_1(A)))  => k1_funct_1(k2_compos_2(A, k2_compos_2(A, k2_compos_2(A, k3_compos_2(A, B, C), D), E), F), 1)=k8_compos_0(u1_compos_1(A), C, 1)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A)))  =>  (! [D] :  ( (v6_compos_0(D, u1_compos_1(A)) & m1_subset_1(D, u1_compos_1(A)))  =>  (! [E] :  ( (v6_compos_0(E, u1_compos_1(A)) & m1_subset_1(E, u1_compos_1(A)))  =>  (! [F] :  ( (v6_compos_0(F, u1_compos_1(A)) & m1_subset_1(F, u1_compos_1(A)))  =>  (! [G] :  ( (v6_compos_0(G, u1_compos_1(A)) & m1_subset_1(G, u1_compos_1(A)))  => k1_funct_1(k2_compos_2(A, k2_compos_2(A, k2_compos_2(A, k2_compos_2(A, k3_compos_2(A, B, C), D), E), F), G), 1)=k8_compos_0(u1_compos_1(A), C, 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_afinsq_1(C) &  (v3_compos_1(C, A) & v4_compos_1(C, A)) ) ) ) ) ) ) )  => k1_funct_1(k2_compos_2(A, C, B), k62_valued_1(C))=k8_compos_0(u1_compos_1(A), B, k62_valued_1(C))) ) ) ) ) ) ).
fof(t51_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A)))  =>  (! [D] :  ( (v6_compos_0(D, u1_compos_1(A)) & m1_subset_1(D, u1_compos_1(A)))  => k1_funct_1(k2_compos_2(A, k3_compos_2(A, B, C), D), 2)=k8_compos_0(u1_compos_1(A), D, 2)) ) ) ) ) ) ) ) ).
fof(t52_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A)))  =>  (! [D] :  ( (v6_compos_0(D, u1_compos_1(A)) & m1_subset_1(D, u1_compos_1(A)))  =>  (! [E] :  ( (v6_compos_0(E, u1_compos_1(A)) & m1_subset_1(E, u1_compos_1(A)))  => k1_funct_1(k2_compos_2(A, k2_compos_2(A, k3_compos_2(A, B, C), D), E), 2)=k8_compos_0(u1_compos_1(A), D, 2)) ) ) ) ) ) ) ) ) ) ).
fof(t53_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A)))  =>  (! [D] :  ( (v6_compos_0(D, u1_compos_1(A)) & m1_subset_1(D, u1_compos_1(A)))  =>  (! [E] :  ( (v6_compos_0(E, u1_compos_1(A)) & m1_subset_1(E, u1_compos_1(A)))  =>  (! [F] :  ( (v6_compos_0(F, u1_compos_1(A)) & m1_subset_1(F, u1_compos_1(A)))  => k1_funct_1(k2_compos_2(A, k2_compos_2(A, k2_compos_2(A, k3_compos_2(A, B, C), D), E), F), 2)=k8_compos_0(u1_compos_1(A), D, 2)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A)))  =>  (! [D] :  ( (v6_compos_0(D, u1_compos_1(A)) & m1_subset_1(D, u1_compos_1(A)))  =>  (! [E] :  ( (v6_compos_0(E, u1_compos_1(A)) & m1_subset_1(E, u1_compos_1(A)))  =>  (! [F] :  ( (v6_compos_0(F, u1_compos_1(A)) & m1_subset_1(F, u1_compos_1(A)))  =>  (! [G] :  ( (v6_compos_0(G, u1_compos_1(A)) & m1_subset_1(G, u1_compos_1(A)))  => k1_funct_1(k2_compos_2(A, k2_compos_2(A, k2_compos_2(A, k2_compos_2(A, k3_compos_2(A, B, C), D), E), F), G), 2)=k8_compos_0(u1_compos_1(A), D, 2)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A)))  =>  (! [D] :  ( (v6_compos_0(D, u1_compos_1(A)) & m1_subset_1(D, u1_compos_1(A)))  =>  (! [E] :  ( (v6_compos_0(E, u1_compos_1(A)) & m1_subset_1(E, u1_compos_1(A)))  => k1_funct_1(k2_compos_2(A, k2_compos_2(A, k3_compos_2(A, B, C), D), E), 3)=k8_compos_0(u1_compos_1(A), E, 3)) ) ) ) ) ) ) ) ) ) ).
fof(t56_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A)))  =>  (! [D] :  ( (v6_compos_0(D, u1_compos_1(A)) & m1_subset_1(D, u1_compos_1(A)))  =>  (! [E] :  ( (v6_compos_0(E, u1_compos_1(A)) & m1_subset_1(E, u1_compos_1(A)))  =>  (! [F] :  ( (v6_compos_0(F, u1_compos_1(A)) & m1_subset_1(F, u1_compos_1(A)))  => k1_funct_1(k2_compos_2(A, k2_compos_2(A, k2_compos_2(A, k3_compos_2(A, B, C), D), E), F), 3)=k8_compos_0(u1_compos_1(A), E, 3)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A)))  =>  (! [D] :  ( (v6_compos_0(D, u1_compos_1(A)) & m1_subset_1(D, u1_compos_1(A)))  =>  (! [E] :  ( (v6_compos_0(E, u1_compos_1(A)) & m1_subset_1(E, u1_compos_1(A)))  =>  (! [F] :  ( (v6_compos_0(F, u1_compos_1(A)) & m1_subset_1(F, u1_compos_1(A)))  =>  (! [G] :  ( (v6_compos_0(G, u1_compos_1(A)) & m1_subset_1(G, u1_compos_1(A)))  => k1_funct_1(k2_compos_2(A, k2_compos_2(A, k2_compos_2(A, k2_compos_2(A, k3_compos_2(A, B, C), D), E), F), G), 3)=k8_compos_0(u1_compos_1(A), E, 3)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A)))  =>  (! [D] :  ( (v6_compos_0(D, u1_compos_1(A)) & m1_subset_1(D, u1_compos_1(A)))  =>  (! [E] :  ( (v6_compos_0(E, u1_compos_1(A)) & m1_subset_1(E, u1_compos_1(A)))  =>  (! [F] :  ( (v6_compos_0(F, u1_compos_1(A)) & m1_subset_1(F, u1_compos_1(A)))  => k1_funct_1(k2_compos_2(A, k2_compos_2(A, k2_compos_2(A, k3_compos_2(A, B, C), D), E), F), 4)=k8_compos_0(u1_compos_1(A), F, 4)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A)))  =>  (! [D] :  ( (v6_compos_0(D, u1_compos_1(A)) & m1_subset_1(D, u1_compos_1(A)))  =>  (! [E] :  ( (v6_compos_0(E, u1_compos_1(A)) & m1_subset_1(E, u1_compos_1(A)))  =>  (! [F] :  ( (v6_compos_0(F, u1_compos_1(A)) & m1_subset_1(F, u1_compos_1(A)))  =>  (! [G] :  ( (v6_compos_0(G, u1_compos_1(A)) & m1_subset_1(G, u1_compos_1(A)))  => k1_funct_1(k2_compos_2(A, k2_compos_2(A, k2_compos_2(A, k2_compos_2(A, k3_compos_2(A, B, C), D), E), F), G), 4)=k8_compos_0(u1_compos_1(A), F, 4)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (! [C] :  ( (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A)))  =>  (! [D] :  ( (v6_compos_0(D, u1_compos_1(A)) & m1_subset_1(D, u1_compos_1(A)))  =>  (! [E] :  ( (v6_compos_0(E, u1_compos_1(A)) & m1_subset_1(E, u1_compos_1(A)))  =>  (! [F] :  ( (v6_compos_0(F, u1_compos_1(A)) & m1_subset_1(F, u1_compos_1(A)))  =>  (! [G] :  ( (v6_compos_0(G, u1_compos_1(A)) & m1_subset_1(G, u1_compos_1(A)))  => k1_funct_1(k2_compos_2(A, k2_compos_2(A, k2_compos_2(A, k2_compos_2(A, k3_compos_2(A, B, C), D), E), F), G), 5)=k8_compos_0(u1_compos_1(A), G, 5)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  =>  (v1_compos_2(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_compos_1(A)) =>  (r2_tarski(C, k10_xtuple_0(B)) => r1_tarski(k10_xtuple_0(k2_compos_0(C)), k9_xtuple_0(B))) ) ) ) ) ) ) ) ).
fof(t61_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  =>  (v4_compos_0(B, u1_compos_1(A)) => v1_compos_2(k11_compos_1(A, B), A)) ) ) ) ) ).
fof(dt_k1_compos_2, axiom,  (! [A, B, C] :  ( ( (v1_amistd_4(A) & l1_compos_1(A))  &  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_afinsq_1(C) &  (v3_compos_1(C, A) & v4_compos_1(C, A)) ) ) ) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k1_compos_2(A, B, C)))  &  (v1_relat_1(k1_compos_2(A, B, C)) &  (v4_relat_1(k1_compos_2(A, B, C), k4_ordinal1) &  (v5_relat_1(k1_compos_2(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k1_compos_2(A, B, C)) &  (v1_finset_1(k1_compos_2(A, B, C)) &  (v1_afinsq_1(k1_compos_2(A, B, C)) &  (v3_compos_1(k1_compos_2(A, B, C), A) & v4_compos_1(k1_compos_2(A, B, C), A)) ) ) ) ) ) ) ) ) ) ).
fof(dt_k2_compos_2, axiom,  (! [A, B, C] :  ( ( (v1_amistd_4(A) & l1_compos_1(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) & v4_compos_1(B, A)) ) ) ) ) ) ) )  &  (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A))) ) )  =>  ( ~ (v1_xboole_0(k2_compos_2(A, B, C)))  &  (v1_relat_1(k2_compos_2(A, B, C)) &  (v4_relat_1(k2_compos_2(A, B, C), k4_ordinal1) &  (v5_relat_1(k2_compos_2(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k2_compos_2(A, B, C)) &  (v1_finset_1(k2_compos_2(A, B, C)) &  (v1_afinsq_1(k2_compos_2(A, B, C)) &  (v3_compos_1(k2_compos_2(A, B, C), A) & v4_compos_1(k2_compos_2(A, B, C), A)) ) ) ) ) ) ) ) ) ) ).
fof(dt_k3_compos_2, axiom,  (! [A, B, C] :  ( ( (v1_amistd_4(A) & l1_compos_1(A))  &  ( (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A)))  &  (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A))) ) )  =>  ( ~ (v1_xboole_0(k3_compos_2(A, B, C)))  &  (v1_relat_1(k3_compos_2(A, B, C)) &  (v4_relat_1(k3_compos_2(A, B, C), k4_ordinal1) &  (v5_relat_1(k3_compos_2(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k3_compos_2(A, B, C)) &  (v1_finset_1(k3_compos_2(A, B, C)) &  (v1_afinsq_1(k3_compos_2(A, B, C)) &  (v3_compos_1(k3_compos_2(A, B, C), A) & v4_compos_1(k3_compos_2(A, B, C), A)) ) ) ) ) ) ) ) ) ) ).
fof(reflexivity_r2_compos_2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) )  => r2_compos_2(A, A)) ) ).
fof(redefinition_r2_compos_2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) )  =>  (r2_compos_2(A, B) <=> r1_compos_2(A, B)) ) ) ).
fof(fc1_comptrig, axiom,  (v1_xreal_0(k28_sin_cos) &  ~ (v3_xxreal_0(k28_sin_cos)) ) ).
fof(t1_comptrig, axiom,  (! [A] :  (v1_xcmplx_0(A) => r1_xxreal_0(k4_xcmplx_0(k9_complex1(A)), k3_complex1(A))) ) ).
fof(t2_comptrig, axiom,  (! [A] :  (v1_xcmplx_0(A) => r1_xxreal_0(k4_xcmplx_0(k9_complex1(A)), k4_complex1(A))) ) ).
fof(t3_comptrig, axiom,  (! [A] :  (v1_xcmplx_0(A) => k1_square_1(k9_complex1(A))=k2_xcmplx_0(k1_square_1(k3_complex1(A)), k1_square_1(k4_complex1(A)))) ) ).
fof(t4_comptrig, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(k5_numbers, A) =>  (B=k5_numbers | k1_newton(k1_power(B, A), B)=A) ) ) ) ) ) ).
fof(t5_comptrig, axiom,  ( ~ (r1_xxreal_0(k7_xcmplx_0(k28_sin_cos, 2), k5_numbers))  &  ( ~ (r1_xxreal_0(k28_sin_cos, k7_xcmplx_0(k28_sin_cos, 2)))  &  ( ~ (r1_xxreal_0(k28_sin_cos, k5_numbers))  &  ( ~ (r1_xxreal_0(k7_xcmplx_0(k28_sin_cos, 2), k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 2))))  &  ( ~ (r1_xxreal_0(k3_xcmplx_0(2, k28_sin_cos), k28_sin_cos))  &  ( ~ (r1_xxreal_0(k3_xcmplx_0(k7_xcmplx_0(3, 2), k28_sin_cos), k7_xcmplx_0(k28_sin_cos, 2)))  &  ( ~ (r1_xxreal_0(k5_numbers, k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 2))))  &  ( ~ (r1_xxreal_0(k3_xcmplx_0(2, k28_sin_cos), k5_numbers))  &  ( ~ (r1_xxreal_0(k3_xcmplx_0(k7_xcmplx_0(3, 2), k28_sin_cos), k28_sin_cos))  &  ( ~ (r1_xxreal_0(k3_xcmplx_0(2, k28_sin_cos), k3_xcmplx_0(k7_xcmplx_0(3, 2), k28_sin_cos)))  &  ~ (r1_xxreal_0(k3_xcmplx_0(k7_xcmplx_0(3, 2), k28_sin_cos), k5_numbers)) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_comptrig, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( (r2_hidden(D, k2_rcomp_1(A, C)) &  ( ~ (r2_hidden(D, k2_rcomp_1(A, B)))  &  ( ~ (D=B)  &  ~ (r2_hidden(D, k2_rcomp_1(B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_comptrig, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( (r2_hidden(A, k2_rcomp_1(k5_numbers, k28_sin_cos)) & r1_xxreal_0(k1_funct_1(k16_sin_cos, A), k5_numbers)) ) ) ) ).
fof(t8_comptrig, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r2_hidden(A, k1_rcomp_1(k5_numbers, k28_sin_cos)) => r1_xxreal_0(k5_numbers, k1_funct_1(k16_sin_cos, A))) ) ) ).
fof(t9_comptrig, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( (r2_hidden(A, k2_rcomp_1(k28_sin_cos, k3_xcmplx_0(2, k28_sin_cos))) & r1_xxreal_0(k5_numbers, k1_funct_1(k16_sin_cos, A))) ) ) ) ).
fof(t10_comptrig, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r2_hidden(A, k1_rcomp_1(k28_sin_cos, k3_xcmplx_0(2, k28_sin_cos))) => r1_xxreal_0(k1_funct_1(k16_sin_cos, A), k5_numbers)) ) ) ).
fof(t11_comptrig, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( (r2_hidden(A, k2_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 2)), k7_xcmplx_0(k28_sin_cos, 2))) & r1_xxreal_0(k1_funct_1(k18_sin_cos, A), k5_numbers)) ) ) ) ).
fof(t12_comptrig, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r2_hidden(A, k1_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 2)), k7_xcmplx_0(k28_sin_cos, 2))) => r1_xxreal_0(k5_numbers, k1_funct_1(k18_sin_cos, A))) ) ) ).
fof(t13_comptrig, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( (r2_hidden(A, k2_rcomp_1(k7_xcmplx_0(k28_sin_cos, 2), k3_xcmplx_0(k7_xcmplx_0(3, 2), k28_sin_cos))) & r1_xxreal_0(k5_numbers, k1_funct_1(k18_sin_cos, A))) ) ) ) ).
fof(t14_comptrig, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r2_hidden(A, k1_rcomp_1(k7_xcmplx_0(k28_sin_cos, 2), k3_xcmplx_0(k7_xcmplx_0(3, 2), k28_sin_cos))) => r1_xxreal_0(k1_funct_1(k18_sin_cos, A), k5_numbers)) ) ) ).
fof(t15_comptrig, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( (r2_hidden(A, k2_rcomp_1(k3_xcmplx_0(k7_xcmplx_0(3, 2), k28_sin_cos), k3_xcmplx_0(2, k28_sin_cos))) & r1_xxreal_0(k1_funct_1(k18_sin_cos, A), k5_numbers)) ) ) ) ).
fof(t16_comptrig, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r2_hidden(A, k1_rcomp_1(k3_xcmplx_0(k7_xcmplx_0(3, 2), k28_sin_cos), k3_xcmplx_0(2, k28_sin_cos))) => r1_xxreal_0(k5_numbers, k1_funct_1(k18_sin_cos, A))) ) ) ).
fof(t17_comptrig, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( (r1_xxreal_0(k5_numbers, A) &  ( ~ (r1_xxreal_0(k3_xcmplx_0(2, k28_sin_cos), A))  &  (k17_sin_cos(A)=k5_numbers &  ( ~ (A=k5_numbers)  &  ~ (A=k28_sin_cos) ) ) ) ) ) ) ) ).
fof(t18_comptrig, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( (r1_xxreal_0(k5_numbers, A) &  ( ~ (r1_xxreal_0(k3_xcmplx_0(2, k28_sin_cos), A))  &  (k19_sin_cos(A)=k5_numbers &  ( ~ (A=k7_xcmplx_0(k28_sin_cos, 2))  &  ~ (A=k3_xcmplx_0(k7_xcmplx_0(3, 2), k28_sin_cos)) ) ) ) ) ) ) ) ).
fof(t19_comptrig, axiom, v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, k16_sin_cos, k2_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 2)), k7_xcmplx_0(k28_sin_cos, 2))))).
fof(t20_comptrig, axiom, v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, k16_sin_cos, k2_rcomp_1(k7_xcmplx_0(k28_sin_cos, 2), k3_xcmplx_0(k7_xcmplx_0(3, 2), k28_sin_cos))))).
fof(t21_comptrig, axiom, v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, k18_sin_cos, k2_rcomp_1(k5_numbers, k28_sin_cos)))).
fof(t22_comptrig, axiom, v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, k18_sin_cos, k2_rcomp_1(k28_sin_cos, k3_xcmplx_0(2, k28_sin_cos))))).
fof(t23_comptrig, axiom, v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, k16_sin_cos, k1_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 2)), k7_xcmplx_0(k28_sin_cos, 2))))).
fof(t24_comptrig, axiom, v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, k16_sin_cos, k1_rcomp_1(k7_xcmplx_0(k28_sin_cos, 2), k3_xcmplx_0(k7_xcmplx_0(3, 2), k28_sin_cos))))).
fof(t25_comptrig, axiom, v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, k18_sin_cos, k1_rcomp_1(k5_numbers, k28_sin_cos)))).
fof(t26_comptrig, axiom, v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, k18_sin_cos, k1_rcomp_1(k28_sin_cos, k3_xcmplx_0(2, k28_sin_cos))))).
fof(t27_comptrig, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r2_tarski(k1_funct_1(k16_sin_cos, A), k1_rcomp_1(k4_xcmplx_0(1), 1)) & r2_tarski(k1_funct_1(k18_sin_cos, A), k1_rcomp_1(k4_xcmplx_0(1), 1))) ) ) ).
fof(t28_comptrig, axiom, k10_xtuple_0(k16_sin_cos)=k1_rcomp_1(k4_xcmplx_0(1), 1)).
fof(t29_comptrig, axiom, k10_xtuple_0(k18_sin_cos)=k1_rcomp_1(k4_xcmplx_0(1), 1)).
fof(t30_comptrig, axiom, k10_xtuple_0(k2_partfun1(k1_numbers, k1_numbers, k16_sin_cos, k1_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 2)), k7_xcmplx_0(k28_sin_cos, 2))))=k1_rcomp_1(k4_xcmplx_0(1), 1)).
fof(t31_comptrig, axiom, k10_xtuple_0(k2_partfun1(k1_numbers, k1_numbers, k16_sin_cos, k1_rcomp_1(k7_xcmplx_0(k28_sin_cos, 2), k3_xcmplx_0(k7_xcmplx_0(3, 2), k28_sin_cos))))=k1_rcomp_1(k4_xcmplx_0(1), 1)).
fof(t32_comptrig, axiom, k10_xtuple_0(k2_partfun1(k1_numbers, k1_numbers, k18_sin_cos, k1_rcomp_1(k5_numbers, k28_sin_cos)))=k1_rcomp_1(k4_xcmplx_0(1), 1)).
fof(t33_comptrig, axiom, k10_xtuple_0(k2_partfun1(k1_numbers, k1_numbers, k18_sin_cos, k1_rcomp_1(k28_sin_cos, k3_xcmplx_0(2, k28_sin_cos))))=k1_rcomp_1(k4_xcmplx_0(1), 1)).
fof(d1_comptrig, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ( ~ (A=k5_numbers)  =>  (B=k1_comptrig(A) <=>  (A=k2_xcmplx_0(k3_xcmplx_0(k9_complex1(A), k19_sin_cos(B)), k3_xcmplx_0(k3_xcmplx_0(k9_complex1(A), k17_sin_cos(B)), k7_complex1)) &  (r1_xxreal_0(k5_numbers, B) &  ~ (r1_xxreal_0(k3_xcmplx_0(2, k28_sin_cos), B)) ) ) ) )  &  (A=k5_numbers =>  (B=k1_comptrig(A) <=> B=k5_numbers) ) ) ) ) ) ) ).
fof(t34_comptrig, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (r1_xxreal_0(k5_numbers, k1_comptrig(A)) &  ~ (r1_xxreal_0(k3_xcmplx_0(2, k28_sin_cos), k1_comptrig(A))) ) ) ) ).
fof(t35_comptrig, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r1_xxreal_0(k5_numbers, A) => k1_comptrig(A)=k5_numbers) ) ) ).
fof(t36_comptrig, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (r1_xxreal_0(k5_numbers, A))  => k1_comptrig(A)=k28_sin_cos) ) ) ).
fof(t37_comptrig, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k1_comptrig(k3_xcmplx_0(A, k7_complex1))=k7_xcmplx_0(k28_sin_cos, 2)) ) ) ).
fof(t38_comptrig, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (r1_xxreal_0(k5_numbers, A))  => k1_comptrig(k3_xcmplx_0(A, k7_complex1))=k3_xcmplx_0(k7_xcmplx_0(3, 2), k28_sin_cos)) ) ) ).
fof(t39_comptrig, axiom, k1_comptrig(1)=k5_numbers).
fof(t40_comptrig, axiom, k1_comptrig(k7_complex1)=k7_xcmplx_0(k28_sin_cos, 2)).
fof(t41_comptrig, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (r2_hidden(k1_comptrig(A), k2_rcomp_1(k5_numbers, k7_xcmplx_0(k28_sin_cos, 2))) <=>  ( ~ (r1_xxreal_0(k3_complex1(A), k5_numbers))  &  ~ (r1_xxreal_0(k4_complex1(A), k5_numbers)) ) ) ) ) ).
fof(t42_comptrig, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (r2_hidden(k1_comptrig(A), k2_rcomp_1(k7_xcmplx_0(k28_sin_cos, 2), k28_sin_cos)) <=>  ( ~ (r1_xxreal_0(k5_numbers, k3_complex1(A)))  &  ~ (r1_xxreal_0(k4_complex1(A), k5_numbers)) ) ) ) ) ).
fof(t43_comptrig, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (r2_hidden(k1_comptrig(A), k2_rcomp_1(k28_sin_cos, k3_xcmplx_0(k7_xcmplx_0(3, 2), k28_sin_cos))) <=>  ( ~ (r1_xxreal_0(k5_numbers, k3_complex1(A)))  &  ~ (r1_xxreal_0(k5_numbers, k4_complex1(A))) ) ) ) ) ).
fof(t44_comptrig, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (r2_hidden(k1_comptrig(A), k2_rcomp_1(k3_xcmplx_0(k7_xcmplx_0(3, 2), k28_sin_cos), k3_xcmplx_0(2, k28_sin_cos))) <=>  ( ~ (r1_xxreal_0(k3_complex1(A), k5_numbers))  &  ~ (r1_xxreal_0(k5_numbers, k4_complex1(A))) ) ) ) ) ).
fof(t45_comptrig, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  ~ ( ( ~ (r1_xxreal_0(k4_complex1(A), k5_numbers))  & r1_xxreal_0(k17_sin_cos(k1_comptrig(A)), k5_numbers)) ) ) ) ).
fof(t46_comptrig, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  ~ ( ( ~ (r1_xxreal_0(k5_numbers, k4_complex1(A)))  & r1_xxreal_0(k5_numbers, k17_sin_cos(k1_comptrig(A)))) ) ) ) ).
fof(t47_comptrig, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (r1_xxreal_0(k5_numbers, k4_complex1(A)) => r1_xxreal_0(k5_numbers, k17_sin_cos(k1_comptrig(A)))) ) ) ).
fof(t48_comptrig, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (r1_xxreal_0(k4_complex1(A), k5_numbers) => r1_xxreal_0(k17_sin_cos(k1_comptrig(A)), k5_numbers)) ) ) ).
fof(t49_comptrig, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  ~ ( ( ~ (r1_xxreal_0(k3_complex1(A), k5_numbers))  & r1_xxreal_0(k19_sin_cos(k1_comptrig(A)), k5_numbers)) ) ) ) ).
fof(t50_comptrig, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  ~ ( ( ~ (r1_xxreal_0(k5_numbers, k3_complex1(A)))  & r1_xxreal_0(k5_numbers, k19_sin_cos(k1_comptrig(A)))) ) ) ) ).
fof(t51_comptrig, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (r1_xxreal_0(k5_numbers, k3_complex1(A)) => r1_xxreal_0(k5_numbers, k19_sin_cos(k1_comptrig(A)))) ) ) ).
fof(t52_comptrig, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (r1_xxreal_0(k3_complex1(A), k5_numbers) =>  (A=k5_numbers | r1_xxreal_0(k19_sin_cos(k1_comptrig(A)), k5_numbers)) ) ) ) ).
fof(t53_comptrig, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) => k1_newton(k2_xcmplx_0(k19_sin_cos(A), k3_xcmplx_0(k17_sin_cos(A), k7_complex1)), B)=k2_xcmplx_0(k19_sin_cos(k3_xcmplx_0(B, A)), k3_xcmplx_0(k17_sin_cos(k3_xcmplx_0(B, A)), k7_complex1))) ) ) ) ).
fof(t54_comptrig, axiom,  (! [A] :  (m1_subset_1(A, k2_numbers) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ ( (A=k5_numbers & B=k5_numbers) )  => k1_newton(A, B)=k2_xcmplx_0(k3_xcmplx_0(k1_newton(k9_complex1(A), B), k19_sin_cos(k3_xcmplx_0(B, k1_comptrig(A)))), k3_xcmplx_0(k3_xcmplx_0(k1_newton(k9_complex1(A), B), k17_sin_cos(k3_xcmplx_0(B, k1_comptrig(A)))), k7_complex1))) ) ) ) ) ).
fof(t55_comptrig, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (B=k5_numbers)  => k1_newton(k2_xcmplx_0(k19_sin_cos(k7_xcmplx_0(k2_xcmplx_0(A, k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), C)), B)), k3_xcmplx_0(k17_sin_cos(k7_xcmplx_0(k2_xcmplx_0(A, k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), C)), B)), k7_complex1)), B)=k2_xcmplx_0(k19_sin_cos(A), k3_xcmplx_0(k17_sin_cos(A), k7_complex1))) ) ) ) ) ) ) ).
fof(t56_comptrig, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (B=k5_numbers)  => A=k1_newton(k2_xcmplx_0(k3_xcmplx_0(k1_power(B, k9_complex1(A)), k19_sin_cos(k7_xcmplx_0(k2_xcmplx_0(k1_comptrig(A), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), C)), B))), k3_xcmplx_0(k3_xcmplx_0(k1_power(B, k9_complex1(A)), k17_sin_cos(k7_xcmplx_0(k2_xcmplx_0(k1_comptrig(A), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), C)), B))), k7_complex1)), B)) ) ) ) ) ) ) ).
fof(d2_comptrig, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (v1_xcmplx_0(C) =>  (m1_comptrig(C, A, B) <=> k1_newton(C, B)=A) ) ) ) ) ) ) ).
fof(t57_comptrig, axiom,  (! [A] :  (m1_subset_1(A, k2_numbers) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (v7_ordinal1(C) => m1_comptrig(k2_xcmplx_0(k3_xcmplx_0(k1_power(B, k9_complex1(A)), k19_sin_cos(k7_xcmplx_0(k2_xcmplx_0(k1_comptrig(A), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), C)), B))), k3_xcmplx_0(k3_xcmplx_0(k1_power(B, k9_complex1(A)), k17_sin_cos(k7_xcmplx_0(k2_xcmplx_0(k1_comptrig(A), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), C)), B))), k7_complex1)), A, B)) ) ) ) ) ) ).
fof(t58_comptrig, axiom,  (! [A] :  (m1_subset_1(A, k2_numbers) =>  (! [B] :  (m1_comptrig(B, A, 1) => B=A) ) ) ) ).
fof(t59_comptrig, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_comptrig(B, k5_numbers, A) => B=k5_numbers) ) ) ) ).
fof(t60_comptrig, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, k2_numbers) =>  (! [C] :  (m1_comptrig(C, B, A) =>  (C=k5_numbers => B=k5_numbers) ) ) ) ) ) ) ).
fof(t61_comptrig, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( (r1_xxreal_0(k5_numbers, A) & k19_sin_cos(A)=1)  =>  (r1_xxreal_0(k3_xcmplx_0(2, k28_sin_cos), A) | A=k5_numbers) ) ) ) ).
fof(t62_comptrig, axiom,  (! [A] :  (v1_xcmplx_0(A) => A=k2_xcmplx_0(k3_xcmplx_0(k9_complex1(A), k19_sin_cos(k1_comptrig(A))), k3_xcmplx_0(k3_xcmplx_0(k9_complex1(A), k17_sin_cos(k1_comptrig(A))), k7_complex1))) ) ).
fof(s1_comptrig, axiom,  ( ( (? [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  & p1_s1_comptrig(A)) )  &  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ~ ( ( ~ (A=1)  &  (p1_s1_comptrig(A) &  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  ~ ( ( ~ (r1_xxreal_0(A, B))  & p1_s1_comptrig(B)) ) ) ) ) ) ) ) ) )  => p1_s1_comptrig(1)) ).
fof(dt_k1_comptrig, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_xreal_0(k1_comptrig(A))) ) ).
fof(dt_m1_comptrig, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  (! [C] :  (m1_comptrig(C, A, B) => v1_xcmplx_0(C)) ) ) ) ).
fof(existence_m1_comptrig, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  (? [C] : m1_comptrig(C, A, B)) ) ) ).
fof(cc1_compts_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_xboole_0(B) => v2_compts_1(B, A)) ) ) ) ) ).
fof(fc1_compts_1, axiom,  (! [A] :  (v1_pre_topc(k1_compts_1(A)) & v2_pre_topc(k1_compts_1(A))) ) ).
fof(fc2_compts_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v2_struct_0(k1_compts_1(A))) ) ) ).
fof(fc3_compts_1, axiom,  (! [A] : v8_pre_topc(k1_compts_1(k1_tarski(A)))) ).
fof(rc1_compts_1, axiom,  (? [A] :  (l1_pre_topc(A) &  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v8_pre_topc(A)) ) ) ) ).
fof(cc2_compts_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v8_pre_topc(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_compts_1(B, A) => v4_pre_topc(B, A)) ) ) ) ) ).
fof(fc4_compts_1, axiom,  (! [A] :  (v1_finset_1(A) => v8_struct_0(k1_compts_1(A))) ) ).
fof(rc2_compts_1, axiom,  (? [A] :  (l1_pre_topc(A) &  ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v1_pre_topc(A) & v2_pre_topc(A)) ) ) ) ) ).
fof(cc3_compts_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( (v8_struct_0(A) & v2_pre_topc(A))  =>  (v2_pre_topc(A) & v1_compts_1(A)) ) ) ) ).
fof(cc4_compts_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_finset_1(B) => v2_compts_1(B, A)) ) ) ) ) ).
fof(rc3_compts_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  & v2_compts_1(B, A)) ) ) ) ) ).
fof(cc5_compts_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v2_struct_0(A) => v8_pre_topc(A)) ) ) ).
fof(cc6_compts_1, axiom,  (! [A] :  ( (v8_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_pre_topc(B, A) => v8_pre_topc(B)) ) ) ) ).
fof(fc5_compts_1, axiom,  (! [A] :  (l1_pre_topc(A) => v1_tops_2(u1_pre_topc(A), A)) ) ).
fof(rc4_compts_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) &  ( ~ (v1_xboole_0(B))  & v1_tops_2(B, A)) ) ) ) ) ).
fof(d1_compts_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v1_compts_1(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ~ ( (m1_setfam_1(B, u1_struct_0(A)) &  (v1_tops_2(B, A) &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ~ ( (r1_tarski(C, B) &  (m1_setfam_1(C, u1_struct_0(A)) & v1_finset_1(C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_compts_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v9_pre_topc(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( ~ (C=k1_xboole_0)  &  (v4_pre_topc(C, A) &  (r2_tarski(B, k3_subset_1(u1_struct_0(A), C)) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v3_pre_topc(D, A) &  (v3_pre_topc(E, A) &  (r2_tarski(B, D) &  (r1_tarski(C, E) & r1_xboole_0(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_compts_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v10_pre_topc(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( ~ (B=k1_xboole_0)  &  ( ~ (C=k1_xboole_0)  &  (v4_pre_topc(B, A) &  (v4_pre_topc(C, A) &  (r1_xboole_0(B, C) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v3_pre_topc(D, A) &  (v3_pre_topc(E, A) &  (r1_tarski(B, D) &  (r1_tarski(C, E) & r1_xboole_0(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_compts_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_compts_1(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ~ ( (m1_setfam_1(C, B) &  (v1_tops_2(C, A) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ~ ( (r1_tarski(D, C) &  (m1_setfam_1(D, B) & v1_finset_1(D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_compts_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v1_compts_1(A) <=> v2_compts_1(k2_struct_0(A), A)) ) ) ).
fof(t2_compts_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_pre_topc(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(C, k2_struct_0(B)) =>  (v2_compts_1(C, A) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (D=C => v2_compts_1(D, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_compts_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (B=k1_xboole_0 =>  (v2_compts_1(B, A) <=> v1_compts_1(k1_pre_topc(A, B))) )  &  (v2_pre_topc(A) =>  (B=k1_xboole_0 |  (v2_compts_1(B, A) <=> v1_compts_1(k1_pre_topc(A, B))) ) ) ) ) ) ) ) ).
fof(t4_compts_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v1_compts_1(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ~ ( (v3_finset_1(B) &  (v2_tops_2(B, A) & k6_setfam_1(u1_struct_0(A), B)=k1_xboole_0) ) ) ) ) ) ) ) ).
fof(t5_compts_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v1_compts_1(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ~ ( ( ~ (B=k1_xboole_0)  &  (v2_tops_2(B, A) &  (k6_setfam_1(u1_struct_0(A), B)=k1_xboole_0 &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ~ ( ( ~ (C=k1_xboole_0)  &  (r1_tarski(C, B) &  (v1_finset_1(C) & k6_setfam_1(u1_struct_0(A), C)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_compts_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (v8_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_compts_1(B, A) =>  (B=k1_xboole_0 |  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r2_tarski(C, k3_subset_1(u1_struct_0(A), B)) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v3_pre_topc(D, A) &  (v3_pre_topc(E, A) &  (r2_tarski(C, D) &  (r1_tarski(B, E) & r1_xboole_0(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_compts_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v8_pre_topc(A) & v2_compts_1(B, A))  => v4_pre_topc(B, A)) ) ) ) ) ).
fof(t8_compts_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_compts_1(A) & v4_pre_topc(B, A))  => v2_compts_1(B, A)) ) ) ) ) ).
fof(t9_compts_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v2_compts_1(B, A) &  (r1_tarski(C, B) & v4_pre_topc(C, A)) )  => v2_compts_1(C, A)) ) ) ) ) ) ) ).
fof(t10_compts_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v2_compts_1(B, A) & v2_compts_1(C, A))  => v2_compts_1(k4_subset_1(u1_struct_0(A), B, C), A)) ) ) ) ) ) ) ).
fof(t11_compts_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v8_pre_topc(A) &  (v2_compts_1(B, A) & v2_compts_1(C, A)) )  => v2_compts_1(k9_subset_1(u1_struct_0(A), B, C), A)) ) ) ) ) ) ) ).
fof(t12_compts_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( (v8_pre_topc(A) & v1_compts_1(A))  => v9_pre_topc(A)) ) ) ).
fof(t13_compts_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( (v8_pre_topc(A) & v1_compts_1(A))  => v10_pre_topc(A)) ) ) ).
fof(t14_compts_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_pre_topc(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ( (v1_compts_1(A) &  (v5_pre_topc(C, A, B) & k2_relset_1(u1_struct_0(B), C)=k2_struct_0(B)) )  => v1_compts_1(B)) ) ) ) ) ) ) ).
fof(t15_compts_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_pre_topc(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C))))) )  =>  ( (v5_pre_topc(D, A, C) &  (k2_relset_1(u1_struct_0(C), D)=k2_struct_0(C) & v2_compts_1(B, A)) )  => v2_compts_1(k7_relset_1(u1_struct_0(A), u1_struct_0(C), D, B), C)) ) ) ) ) ) ) ) ) ).
fof(t16_compts_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ( (v1_compts_1(A) &  (v8_pre_topc(B) &  (k2_relset_1(u1_struct_0(B), C)=k2_struct_0(B) & v5_pre_topc(C, A, B)) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (v4_pre_topc(D, A) => v4_pre_topc(k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), B)) ) ) ) ) ) ) ) ) ) ).
fof(t17_compts_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ( (v1_compts_1(A) &  (v8_pre_topc(B) &  (k2_relset_1(u1_struct_0(B), C)=k2_struct_0(B) &  (v2_funct_1(C) & v5_pre_topc(C, A, B)) ) ) )  => v3_tops_2(C, A, B)) ) ) ) ) ) ) ).
fof(d5_compts_1, axiom,  (! [A] : k1_compts_1(A)=g1_pre_topc(A, k2_subset_1(k9_setfam_1(A)))) ).
fof(t18_compts_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (v1_finset_1(u1_struct_0(A)) => v1_compts_1(A)) ) ) ).
fof(t19_compts_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_pre_topc(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (C=D =>  (v2_compts_1(C, A) <=> v2_compts_1(D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t20_compts_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_pre_topc(D, A) =>  (! [E] :  (m1_pre_topc(E, A) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(D), u1_struct_0(B)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(B))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(E), u1_struct_0(B)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E), u1_struct_0(B))))) )  =>  ( (k2_xboole_0(k2_struct_0(D), k2_struct_0(E))=k2_struct_0(A) &  (k9_subset_1(u1_struct_0(E), k2_struct_0(D), k2_struct_0(E))=k6_domain_1(u1_struct_0(A), C) &  (v1_compts_1(D) &  (v1_compts_1(E) &  (v8_pre_topc(A) &  (v5_pre_topc(F, D, B) &  (v5_pre_topc(G, E, B) & k1_funct_1(F, C)=k1_funct_1(G, C)) ) ) ) ) ) )  =>  (v1_funct_1(k1_funct_4(F, G)) &  (v1_funct_2(k1_funct_4(F, G), u1_struct_0(A), u1_struct_0(B)) &  (v5_pre_topc(k1_funct_4(F, G), A, B) & m1_subset_1(k1_funct_4(F, G), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_compts_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (m1_pre_topc(C, B) =>  (! [D] :  (m1_pre_topc(D, B) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(C), u1_struct_0(A)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(D), u1_struct_0(A)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(A))))) )  =>  ( (k2_xboole_0(k2_struct_0(C), k2_struct_0(D))=k2_struct_0(B) &  (k9_subset_1(u1_struct_0(D), k2_struct_0(C), k2_struct_0(D))=k7_domain_1(u1_struct_0(B), E, F) &  (v1_compts_1(C) &  (v1_compts_1(D) &  (v8_pre_topc(B) &  (v5_pre_topc(G, C, A) &  (v5_pre_topc(H, D, A) &  (k1_funct_1(G, E)=k1_funct_1(H, E) & k1_funct_1(G, F)=k1_funct_1(H, F)) ) ) ) ) ) ) )  =>  (v1_funct_1(k1_funct_4(G, H)) &  (v1_funct_2(k1_funct_4(G, H), u1_struct_0(B), u1_struct_0(A)) &  (v5_pre_topc(k1_funct_4(G, H), B, A) & m1_subset_1(k1_funct_4(G, H), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_compts_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_tops_2(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))  <=>  (v1_tops_2(B, g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))))))) ) ) ) ) ).
fof(t23_compts_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v2_compts_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  <=>  (v2_compts_1(B, g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)))))) ) ) ) ) ).
fof(t24_compts_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (! [D] :  (m1_pre_topc(D, A) =>  (! [E] :  (m1_pre_topc(E, A) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(D), u1_struct_0(B)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(B))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(E), u1_struct_0(B)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E), u1_struct_0(B))))) )  =>  ( (k2_xboole_0(k2_struct_0(D), k2_struct_0(E))=k2_struct_0(A) &  (k9_subset_1(u1_struct_0(E), k2_struct_0(D), k2_struct_0(E))=C &  (v1_compts_1(D) &  (v1_compts_1(E) &  (v8_pre_topc(A) &  (v5_pre_topc(F, D, B) &  (v5_pre_topc(G, E, B) & r1_partfun1(k2_partfun1(u1_struct_0(D), u1_struct_0(B), F, C), k2_partfun1(u1_struct_0(E), u1_struct_0(B), G, C))) ) ) ) ) ) )  =>  (v1_funct_1(k1_funct_4(F, G)) &  (v1_funct_2(k1_funct_4(F, G), u1_struct_0(A), u1_struct_0(B)) &  (v5_pre_topc(k1_funct_4(F, G), A, B) & m1_subset_1(k1_funct_4(F, G), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_compts_1, axiom,  (! [A] : l1_pre_topc(k1_compts_1(A))) ).
fof(rc1_comput_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v4_funct_1(A) & v1_comput_1(A)) ) ) ).
fof(fc1_comput_1, axiom,  (! [A] :  ( (v4_funct_1(A) & v1_comput_1(A))  =>  (v1_relat_1(k3_tarski(A)) & v1_funct_1(k3_tarski(A))) ) ) ).
fof(rc2_comput_1, axiom,  (! [A, B] :  (? [C] :  (m1_rfunct_3(C, A, B) &  ( ~ (v1_xboole_0(C))  & v1_comput_1(C)) ) ) ) ).
fof(cc1_comput_1, axiom,  (! [A, B] :  (! [C] :  (m1_rfunct_3(C, A, B) =>  ( ~ (v1_xboole_0(C))  =>  ( ~ (v1_xboole_0(C))  & v4_funct_1(C)) ) ) ) ) ).
fof(rc3_comput_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(A) & v4_valued_0(A)) ) ) ) ).
fof(cc2_comput_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v2_margrel1(A)) ) ) ).
fof(fc2_comput_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  ( ~ (v1_xboole_0(k17_funcop_1(A, B)))  & v2_margrel1(k17_funcop_1(A, B))) ) ) ).
fof(rc4_comput_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v2_margrel1(A)) ) ) ) ).
fof(fc3_comput_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_margrel1(A)) )  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v2_margrel1(k3_relat_1(A, B))) ) ) ).
fof(rc5_comput_1, axiom,  (! [A, B] :  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), B))) &  (v1_relat_1(C) &  (v4_relat_1(C, k3_finseq_2(A)) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v2_margrel1(C)) ) ) ) ) ) ) ).
fof(rc6_comput_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), B))) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k3_finseq_2(A)) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v2_margrel1(C)) ) ) ) ) ) ) ) ) ).
fof(rc7_comput_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), A))) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k3_finseq_2(A)) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v2_margrel1(B) & v3_margrel1(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(rc8_comput_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(A) &  (v4_valued_0(A) &  (v2_margrel1(A) & v2_comput_1(A)) ) ) ) ) ) ) ).
fof(cc3_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(k4_ordinal1), k4_ordinal1))) =>  (v1_funct_1(A) =>  (v4_relat_1(A, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(A) & v4_valued_0(A)) ) ) ) ) ).
fof(cc4_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(k4_ordinal1), k4_ordinal1))) =>  ( (v1_funct_1(A) & v3_margrel1(A, k4_ordinal1))  =>  (v1_funct_1(A) & v2_comput_1(A)) ) ) ) ).
fof(cc5_comput_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v3_comput_1(A)) ) ) ).
fof(rc9_comput_1, axiom,  (! [A] :  (? [B] :  (m1_finseq_1(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v4_card_3(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) & v3_comput_1(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc10_comput_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k3_finseq_2(A)) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v4_card_3(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) & v3_comput_1(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc11_comput_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k2_comput_1(A)) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k3_finseq_2(A)) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v2_margrel1(B) & v3_margrel1(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(cc6_comput_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k2_comput_1(A)) => v2_margrel1(B)) ) ) ).
fof(cc7_comput_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k2_comput_1(A)))) )  =>  (! [C] :  (m1_subset_1(C, B) => v2_margrel1(C)) ) ) ) ).
fof(fc4_comput_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  =>  ( ~ (v1_xboole_0(k3_comput_1(A, B)))  &  (v1_relat_1(k3_comput_1(A, B)) &  (v4_relat_1(k3_comput_1(A, B), k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(k3_comput_1(A, B)) &  (v4_valued_0(k3_comput_1(A, B)) &  (v2_margrel1(k3_comput_1(A, B)) & v2_comput_1(k3_comput_1(A, B))) ) ) ) ) ) ) ) ).
fof(cc8_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k2_comput_1(k4_ordinal1)) =>  (v4_relat_1(A, k3_finseq_2(k4_ordinal1)) &  (v4_valued_0(A) & v2_margrel1(A)) ) ) ) ).
fof(fc5_comput_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  =>  ( ~ (v1_xboole_0(k4_comput_1(A, B)))  &  (v1_relat_1(k4_comput_1(A, B)) &  (v4_relat_1(k4_comput_1(A, B), k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(k4_comput_1(A, B)) &  (v4_valued_0(k4_comput_1(A, B)) &  (v2_margrel1(k4_comput_1(A, B)) & v2_comput_1(k4_comput_1(A, B))) ) ) ) ) ) ) ) ).
fof(fc6_comput_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  =>  ( ~ (v1_xboole_0(k5_comput_1(A, B)))  &  (v1_relat_1(k5_comput_1(A, B)) &  (v4_relat_1(k5_comput_1(A, B), k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(k5_comput_1(A, B)) &  (v4_valued_0(k5_comput_1(A, B)) &  (v2_margrel1(k5_comput_1(A, B)) & v2_comput_1(k5_comput_1(A, B))) ) ) ) ) ) ) ) ).
fof(fc7_comput_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(k2_comput_1(A)))  & v4_funct_1(k2_comput_1(A))) ) ).
fof(fc8_comput_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v3_comput_1(B) & m1_finseq_1(B, k2_comput_1(A))) )  =>  (v1_relat_1(k5_funct_6(B)) &  (v1_funct_1(k5_funct_6(B)) & v2_margrel1(k5_funct_6(B))) ) ) ) ).
fof(fc9_comput_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(A) & v2_margrel1(A)) ) )  => v3_comput_1(k5_finseq_1(A))) ) ).
fof(rc12_comput_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_comput_1(k4_ordinal1))) &  ( ~ (v1_xboole_0(A))  &  (v4_funct_1(A) & v6_comput_1(A)) ) ) ) ).
fof(fc10_comput_1, axiom,  ( ~ (v1_xboole_0(k9_comput_1))  & v6_comput_1(k9_comput_1)) ).
fof(cc9_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k9_comput_1) => v2_margrel1(A)) ) ).
fof(cc10_comput_1, axiom,  (! [A] :  (v7_comput_1(A) =>  (v1_relat_1(A) & v1_funct_1(A)) ) ) ).
fof(cc11_comput_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v7_comput_1(A))  =>  (v1_relat_1(A) &  (v4_relat_1(A, k3_finseq_2(k4_ordinal1)) &  (v4_valued_0(A) & v2_margrel1(A)) ) ) ) ) ).
fof(cc12_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k9_comput_1) => v7_comput_1(A)) ) ).
fof(rc13_comput_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v7_comput_1(A)) ) ) ).
fof(rc14_comput_1, axiom,  (? [A] :  (m1_subset_1(A, k2_comput_1(k4_ordinal1)) &  (v1_relat_1(A) &  (v4_relat_1(A, k3_finseq_2(k4_ordinal1)) &  (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) &  (v4_valued_0(A) &  (v2_margrel1(A) & v7_comput_1(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(cc13_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k9_comput_1) =>  (v2_margrel1(A) & v3_margrel1(A, k4_ordinal1)) ) ) ).
fof(cc14_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k2_comput_1(k4_ordinal1)) =>  (v7_comput_1(A) => v3_margrel1(A, k4_ordinal1)) ) ) ).
fof(cc15_comput_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(A) & v7_comput_1(A)) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(A) & v2_comput_1(A)) ) ) ) ) ).
fof(rc15_comput_1, axiom,  (? [A] :  (m1_subset_1(A, k9_comput_1) &  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k3_finseq_2(k4_ordinal1)) &  (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) &  (v4_valued_0(A) &  (v2_margrel1(A) &  (v3_margrel1(A, k4_ordinal1) & v7_comput_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc16_comput_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_margrel1(A) & v8_comput_1(A, 1)) ) )  =>  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v2_margrel1(A)) ) ) ) ) ).
fof(cc17_comput_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_margrel1(A) & v8_comput_1(A, 2)) ) )  =>  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v2_margrel1(A)) ) ) ) ) ).
fof(cc18_comput_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_margrel1(A) & v8_comput_1(A, 3)) ) )  =>  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v2_margrel1(A)) ) ) ) ) ).
fof(fc11_comput_1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (v1_relat_1(k5_comput_1(A, 1)) &  (v4_relat_1(k5_comput_1(A, 1), k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(k5_comput_1(A, 1)) &  (v4_valued_0(k5_comput_1(A, 1)) &  (v2_margrel1(k5_comput_1(A, 1)) & v7_comput_1(k5_comput_1(A, 1))) ) ) ) ) ) ) ).
fof(fc12_comput_1, axiom,  (v1_relat_1(k5_comput_1(2, 2)) &  (v4_relat_1(k5_comput_1(2, 2), k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(k5_comput_1(2, 2)) &  (v4_valued_0(k5_comput_1(2, 2)) &  (v2_margrel1(k5_comput_1(2, 2)) & v7_comput_1(k5_comput_1(2, 2))) ) ) ) ) ).
fof(fc13_comput_1, axiom,  (v1_relat_1(k4_comput_1(1, 1)) &  (v4_relat_1(k4_comput_1(1, 1), k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(k4_comput_1(1, 1)) &  (v4_valued_0(k4_comput_1(1, 1)) &  (v2_margrel1(k4_comput_1(1, 1)) & v7_comput_1(k4_comput_1(1, 1))) ) ) ) ) ).
fof(fc14_comput_1, axiom,  (v1_relat_1(k4_comput_1(3, 3)) &  (v4_relat_1(k4_comput_1(3, 3), k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(k4_comput_1(3, 3)) &  (v4_valued_0(k4_comput_1(3, 3)) &  (v2_margrel1(k4_comput_1(3, 3)) & v7_comput_1(k4_comput_1(3, 3))) ) ) ) ) ).
fof(fc15_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (v1_relat_1(k3_comput_1(k5_numbers, A)) &  (v4_relat_1(k3_comput_1(k5_numbers, A), k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(k3_comput_1(k5_numbers, A)) &  (v4_valued_0(k3_comput_1(k5_numbers, A)) &  (v2_margrel1(k3_comput_1(k5_numbers, A)) & v8_comput_1(k3_comput_1(k5_numbers, A), k5_numbers)) ) ) ) ) ) ) ).
fof(fc16_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (v1_relat_1(k3_comput_1(1, A)) &  (v4_relat_1(k3_comput_1(1, A), k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(k3_comput_1(1, A)) &  (v4_valued_0(k3_comput_1(1, A)) &  (v2_margrel1(k3_comput_1(1, A)) & v8_comput_1(k3_comput_1(1, A), 1)) ) ) ) ) ) ) ).
fof(fc17_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (v1_relat_1(k3_comput_1(2, A)) &  (v4_relat_1(k3_comput_1(2, A), k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(k3_comput_1(2, A)) &  (v4_valued_0(k3_comput_1(2, A)) &  (v2_margrel1(k3_comput_1(2, A)) & v8_comput_1(k3_comput_1(2, A), 2)) ) ) ) ) ) ) ).
fof(fc18_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (v1_relat_1(k3_comput_1(3, A)) &  (v4_relat_1(k3_comput_1(3, A), k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(k3_comput_1(3, A)) &  (v4_valued_0(k3_comput_1(3, A)) &  (v2_margrel1(k3_comput_1(3, A)) & v8_comput_1(k3_comput_1(3, A), 3)) ) ) ) ) ) ) ).
fof(fc19_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (v1_relat_1(k5_comput_1(1, A)) &  (v4_relat_1(k5_comput_1(1, A), k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(k5_comput_1(1, A)) &  (v4_valued_0(k5_comput_1(1, A)) &  (v2_margrel1(k5_comput_1(1, A)) & v8_comput_1(k5_comput_1(1, A), 1)) ) ) ) ) ) ) ).
fof(fc20_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (v1_relat_1(k5_comput_1(2, A)) &  (v4_relat_1(k5_comput_1(2, A), k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(k5_comput_1(2, A)) &  (v4_valued_0(k5_comput_1(2, A)) &  (v2_margrel1(k5_comput_1(2, A)) & v8_comput_1(k5_comput_1(2, A), 2)) ) ) ) ) ) ) ).
fof(fc21_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (v1_relat_1(k5_comput_1(3, A)) &  (v4_relat_1(k5_comput_1(3, A), k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(k5_comput_1(3, A)) &  (v4_valued_0(k5_comput_1(3, A)) &  (v2_margrel1(k5_comput_1(3, A)) & v8_comput_1(k5_comput_1(3, A), 3)) ) ) ) ) ) ) ).
fof(fc22_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (v1_relat_1(k4_comput_1(1, A)) &  (v4_relat_1(k4_comput_1(1, A), k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(k4_comput_1(1, A)) &  (v4_valued_0(k4_comput_1(1, A)) &  (v2_margrel1(k4_comput_1(1, A)) & v8_comput_1(k4_comput_1(1, A), 1)) ) ) ) ) ) ) ).
fof(fc23_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (v1_relat_1(k4_comput_1(2, A)) &  (v4_relat_1(k4_comput_1(2, A), k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(k4_comput_1(2, A)) &  (v4_valued_0(k4_comput_1(2, A)) &  (v2_margrel1(k4_comput_1(2, A)) & v8_comput_1(k4_comput_1(2, A), 2)) ) ) ) ) ) ) ).
fof(fc24_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (v1_relat_1(k4_comput_1(3, A)) &  (v4_relat_1(k4_comput_1(3, A), k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(k4_comput_1(3, A)) &  (v4_valued_0(k4_comput_1(3, A)) &  (v2_margrel1(k4_comput_1(3, A)) & v8_comput_1(k4_comput_1(3, A), 3)) ) ) ) ) ) ) ).
fof(fc25_comput_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  =>  (v1_relat_1(k3_comput_1(A, B)) &  (v4_relat_1(k3_comput_1(A, B), k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(k3_comput_1(A, B)) &  (v4_valued_0(k3_comput_1(A, B)) &  (v2_margrel1(k3_comput_1(A, B)) & v7_comput_1(k3_comput_1(A, B))) ) ) ) ) ) ) ).
fof(rc16_comput_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_margrel1(A) &  (v7_comput_1(A) & v8_comput_1(A, k5_numbers)) ) ) ) ) ) ).
fof(rc17_comput_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_margrel1(A) &  (v7_comput_1(A) & v8_comput_1(A, 1)) ) ) ) ) ).
fof(rc18_comput_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_margrel1(A) &  (v7_comput_1(A) & v8_comput_1(A, 2)) ) ) ) ) ).
fof(rc19_comput_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_margrel1(A) &  (v7_comput_1(A) & v8_comput_1(A, 3)) ) ) ) ) ).
fof(rc20_comput_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(A) &  (v4_valued_0(A) &  (v2_margrel1(A) &  (v2_comput_1(A) & v8_comput_1(A, k5_numbers)) ) ) ) ) ) ) ) ).
fof(rc21_comput_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(A) &  (v4_valued_0(A) &  (v2_margrel1(A) &  (v2_comput_1(A) & v8_comput_1(A, 1)) ) ) ) ) ) ) ) ).
fof(rc22_comput_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(A) &  (v4_valued_0(A) &  (v2_margrel1(A) &  (v2_comput_1(A) & v8_comput_1(A, 2)) ) ) ) ) ) ) ) ).
fof(rc23_comput_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(A) &  (v4_valued_0(A) &  (v2_margrel1(A) &  (v2_comput_1(A) & v8_comput_1(A, 3)) ) ) ) ) ) ) ) ).
fof(fc26_comput_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) &  (v7_comput_1(A) & v8_comput_1(A, k5_numbers)) ) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v7_comput_1(B) & v8_comput_1(B, 2)) ) ) )  =>  (v7_comput_1(k7_comput_1(A, B, 1)) & v8_comput_1(k7_comput_1(A, B, 1), 1)) ) ) ).
fof(fc27_comput_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v7_comput_1(A) & v8_comput_1(A, 1)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v7_comput_1(B) & v8_comput_1(B, 3)) ) ) )  =>  (v7_comput_1(k7_comput_1(A, B, 1)) & v8_comput_1(k7_comput_1(A, B, 1), 2)) ) ) ).
fof(fc28_comput_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v7_comput_1(A) & v8_comput_1(A, 1)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v7_comput_1(B) & v8_comput_1(B, 3)) ) ) )  =>  (v7_comput_1(k7_comput_1(A, B, 2)) & v8_comput_1(k7_comput_1(A, B, 2), 2)) ) ) ).
fof(fc29_comput_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(A) & v4_valued_0(A)) ) )  =>  (v1_relat_1(k14_comput_1(A)) &  (v4_relat_1(k14_comput_1(A), k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(k14_comput_1(A)) & v4_valued_0(k14_comput_1(A))) ) ) ) ) ).
fof(fc30_comput_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_margrel1(A)) )  =>  (v1_relat_1(k14_comput_1(A)) &  (v1_funct_1(k14_comput_1(A)) & v2_margrel1(k14_comput_1(A))) ) ) ) ).
fof(fc31_comput_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(A) &  (v4_valued_0(A) &  (v2_margrel1(A) &  (v2_comput_1(A) & v8_comput_1(A, 2)) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k14_comput_1(A)))  &  (v1_relat_1(k14_comput_1(A)) &  (v1_funct_1(k14_comput_1(A)) &  (v2_comput_1(k14_comput_1(A)) & v8_comput_1(k14_comput_1(A), 3)) ) ) ) ) ) ).
fof(fc32_comput_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_margrel1(A) &  (v7_comput_1(A) & v8_comput_1(A, 2)) ) ) )  =>  (v1_relat_1(k14_comput_1(A)) &  (v1_funct_1(k14_comput_1(A)) &  (v7_comput_1(k14_comput_1(A)) & v8_comput_1(k14_comput_1(A), 3)) ) ) ) ) ).
fof(fc33_comput_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_margrel1(A) &  (v7_comput_1(A) & v8_comput_1(A, 2)) ) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_margrel1(B) &  (v7_comput_1(B) & v8_comput_1(B, 2)) ) ) ) )  => v3_comput_1(k10_finseq_1(A, B))) ) ).
fof(fc34_comput_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v7_comput_1(A) & v8_comput_1(A, 2)) ) )  &  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v7_comput_1(B) & v8_comput_1(B, 2)) ) )  &  (v1_relat_1(C) &  (v1_funct_1(C) &  (v7_comput_1(C) & v8_comput_1(C, 2)) ) ) ) )  =>  (v1_relat_1(k3_relat_1(k5_funct_6(k10_finseq_1(B, C)), A)) & v7_comput_1(k3_relat_1(k5_funct_6(k10_finseq_1(B, C)), A))) ) ) ).
fof(fc35_comput_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v7_comput_1(A) & v8_comput_1(A, 2)) ) )  &  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v7_comput_1(B) & v8_comput_1(B, 2)) ) )  &  (v1_relat_1(C) &  (v1_funct_1(C) &  (v7_comput_1(C) & v8_comput_1(C, 2)) ) ) ) )  =>  (v1_relat_1(k3_relat_1(k5_funct_6(k10_finseq_1(B, C)), A)) & v8_comput_1(k3_relat_1(k5_funct_6(k10_finseq_1(B, C)), A), 2)) ) ) ).
fof(fc36_comput_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v7_comput_1(A) & v8_comput_1(A, 1)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v7_comput_1(B)) ) )  =>  (v1_relat_1(k3_relat_1(k5_funct_6(k9_finseq_1(B)), A)) & v7_comput_1(k3_relat_1(k5_funct_6(k9_finseq_1(B)), A))) ) ) ).
fof(fc37_comput_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v7_comput_1(A) & v8_comput_1(A, 1)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v7_comput_1(B) & v8_comput_1(B, 2)) ) ) )  =>  (v1_relat_1(k3_relat_1(k5_funct_6(k9_finseq_1(B)), A)) & v8_comput_1(k3_relat_1(k5_funct_6(k9_finseq_1(B)), A), 2)) ) ) ).
fof(t1_comput_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (k1_funct_7(k10_finseq_1(A, B), 1, C)=k10_finseq_1(C, B) & k1_funct_7(k10_finseq_1(A, B), 2, C)=k10_finseq_1(A, C)) ) ) ) ).
fof(t2_comput_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  (k1_funct_7(E, A, B)=k1_funct_7(F, A, C) => k1_funct_7(E, A, D)=k1_funct_7(F, A, D)) ) ) ) ) ) ) ) ) ).
fof(t3_comput_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (v7_ordinal1(C) => k2_finseq_3(C, k1_funct_7(B, C, A))=k2_finseq_3(C, B)) ) ) ) ) ).
fof(t4_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (k1_funct_7(C, A, B)=k1_funct_7(D, A, B) => k2_finseq_3(A, C)=k2_finseq_3(A, D)) ) ) ) ) ) ) ) ).
fof(t5_comput_1, axiom,  (! [A] : k4_finseq_2(k5_numbers, A)=k1_tarski(k1_xboole_0)) ).
fof(t6_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ( ~ (A=k5_numbers)  => k4_finseq_2(A, k1_xboole_0)=k1_xboole_0) ) ) ).
fof(t7_comput_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (r2_tarski(k1_xboole_0, k10_xtuple_0(A)) => k5_funct_6(A)=k1_xboole_0) ) ) ).
fof(t8_comput_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (k10_xtuple_0(B)=A => k10_xtuple_0(k5_funct_6(k9_finseq_1(B)))=k4_finseq_2(1, A)) ) ) ) ) ).
fof(t9_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, k1_nat_1(B, 1)))  =>  (! [D] :  (m2_finseq_2(D, C, k4_finseq_2(k1_nat_1(B, 1), C)) => r2_tarski(k2_finseq_3(A, D), k4_finseq_2(B, C))) ) ) ) ) ) ) ) ) ).
fof(d1_comput_1, axiom,  (! [A] :  (v1_comput_1(A) <=>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r2_tarski(B, A) & r2_tarski(C, A))  => r1_partfun1(B, C)) ) ) ) ) ) ) ).
fof(t11_comput_1, axiom,  (! [A] :  ( (v4_funct_1(A) & v1_comput_1(A))  <=>  (v1_relat_1(k3_tarski(A)) & v1_funct_1(k3_tarski(A))) ) ) ).
fof(t13_comput_1, axiom,  (! [A] :  ( (v4_funct_1(A) & v1_comput_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_tarski(B, A) =>  (r1_tarski(k9_xtuple_0(B), k9_xtuple_0(k3_tarski(A))) &  (! [C] :  (r2_tarski(C, k9_xtuple_0(B)) => k1_funct_1(k3_tarski(A), C)=k1_funct_1(B, C)) ) ) ) ) ) ) ) ).
fof(t15_comput_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_comput_1(C) & m1_rfunct_3(C, A, B)) )  =>  (v1_funct_1(k3_tarski(C)) & m1_subset_1(k3_tarski(C), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ).
fof(d2_comput_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_relat_1(A, k3_finseq_2(k4_ordinal1)))  =>  (v2_comput_1(A) <=>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  ( (k3_finseq_1(B)=k3_finseq_1(C) & r2_tarski(B, k1_relset_1(k3_finseq_2(k4_ordinal1), A)))  => r2_tarski(C, k1_relset_1(k3_finseq_2(k4_ordinal1), A))) ) ) ) ) ) ) ) ).
fof(t16_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (v1_relat_1(C) =>  (r1_tarski(k9_xtuple_0(C), k4_finseq_2(A, B)) => v2_margrel1(C)) ) ) ) ) ) ) ).
fof(t17_comput_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(A) &  (v4_valued_0(A) & v2_comput_1(A)) ) ) )  =>  (v1_funct_1(A) &  (v3_margrel1(A, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(k4_ordinal1), k4_ordinal1)))) ) ) ) ).
fof(t18_comput_1, axiom, k18_margrel1(k1_xboole_0)=k5_numbers).
fof(t19_comput_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_margrel1(A))  =>  (k9_xtuple_0(A)=k1_tarski(k1_xboole_0) => k17_margrel1(A)=k5_numbers) ) ) ).
fof(t20_comput_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v2_margrel1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), B)))) )  => r1_tarski(k1_relset_1(k3_finseq_2(A), C), k4_finseq_2(k18_margrel1(C), A))) ) ) ) ).
fof(t21_comput_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(A) & v2_margrel1(A)) ) )  => r1_tarski(k1_relset_1(k3_finseq_2(k4_ordinal1), A), k4_finseq_2(k18_margrel1(A), k4_ordinal1))) ) ).
fof(t22_comput_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v2_margrel1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), A)))) )  =>  ( (v3_margrel1(B, A) &  ~ (v1_xboole_0(B)) )  <=> k1_relset_1(k3_finseq_2(A), B)=k4_finseq_2(k18_margrel1(B), A)) ) ) ) ).
fof(t23_comput_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(A) &  (v4_valued_0(A) & v2_margrel1(A)) ) ) )  =>  ( (v2_comput_1(A) &  ~ (v1_xboole_0(A)) )  <=> k1_relset_1(k3_finseq_2(k4_ordinal1), A)=k4_finseq_2(k18_margrel1(A), k4_ordinal1)) ) ) ).
fof(t24_comput_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v2_margrel1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), A)))) ) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r1_tarski(k1_relset_1(k3_finseq_2(A), B), k4_finseq_2(C, A)) => k18_margrel1(B)=C) ) ) ) ) ) ) ).
fof(t25_comput_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v2_margrel1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), A)))) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (k1_relset_1(k3_finseq_2(A), B)=k4_finseq_2(C, A) => k18_margrel1(B)=C) ) ) ) ) ) ) ).
fof(d3_comput_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v3_comput_1(A) <=>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r2_tarski(B, k10_xtuple_0(A)) & r2_tarski(C, k10_xtuple_0(A)))  =>  ( ~ ( (v1_xboole_0(B) &  ( ~ (v1_xboole_0(C))  &  ~ (k9_xtuple_0(C)=k1_tarski(k1_xboole_0)) ) ) )  &  ~ ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  ~ ( (r1_tarski(k9_xtuple_0(B), k4_finseq_2(D, E)) & r1_tarski(k9_xtuple_0(C), k4_finseq_2(D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_comput_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_comput_1(A))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ( ( (? [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v2_margrel1(C)) )  & r2_tarski(C, k10_xtuple_0(A))) )  =>  (B=k1_comput_1(A) <=>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v2_margrel1(C)) )  =>  (r2_tarski(C, k10_xtuple_0(A)) => B=k18_margrel1(C)) ) ) ) )  &  ( (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v2_margrel1(C)) )  =>  ~ (r2_tarski(C, k10_xtuple_0(A))) ) )  =>  (B=k1_comput_1(A) <=> B=k5_numbers) ) ) ) ) ) ) ).
fof(t26_comput_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_comput_1(A)) ) )  =>  (k3_finseq_1(A)=k5_numbers => k1_comput_1(A)=k5_numbers) ) ) ).
fof(t27_comput_1, axiom,  (! [A] : r2_tarski(k1_xboole_0, k2_comput_1(A))) ).
fof(t28_comput_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(A) &  (v4_valued_0(A) & v2_margrel1(A)) ) ) )  => m2_rfunct_3(A, k3_finseq_2(k4_ordinal1), k4_ordinal1, k2_comput_1(k4_ordinal1))) ) ).
fof(t29_comput_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(A) &  (v4_valued_0(A) &  (v2_margrel1(A) & v2_comput_1(A)) ) ) ) )  =>  (v3_margrel1(A, k4_ordinal1) & m2_rfunct_3(A, k3_finseq_2(k4_ordinal1), k4_ordinal1, k2_comput_1(k4_ordinal1))) ) ) ).
fof(t30_comput_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v1_relat_1(B) =>  ( (r1_tarski(k10_xtuple_0(B), k2_comput_1(A)) &  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v2_margrel1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v2_margrel1(D)) )  =>  ( (r2_tarski(C, k10_xtuple_0(B)) & r2_tarski(D, k10_xtuple_0(B)))  => k18_margrel1(C)=k18_margrel1(D)) ) ) ) ) )  => v3_comput_1(B)) ) ) ) ) ).
fof(d6_comput_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k3_comput_1(A, B)=k7_funcop_1(k4_finseq_2(A, k4_ordinal1), B)) ) ) ) ).
fof(t31_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => r2_tarski(k3_comput_1(B, A), k2_comput_1(k4_ordinal1))) ) ) ) ).
fof(t32_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k18_margrel1(k3_comput_1(B, A))=B) ) ) ) ).
fof(d7_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(C) &  (v4_valued_0(C) & v2_margrel1(C)) ) ) )  =>  (C=k4_comput_1(A, B) <=>  (k1_relset_1(k3_finseq_2(k4_ordinal1), C)=k4_finseq_2(A, k4_ordinal1) &  (! [D] :  (m2_finseq_2(D, k4_ordinal1, k4_finseq_2(A, k4_ordinal1)) => k1_recdef_1(C, D)=k1_nat_1(k7_partfun1(k4_ordinal1, D, B), 1)) ) ) ) ) ) ) ) ) ) ).
fof(t33_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => r2_tarski(k4_comput_1(B, A), k2_comput_1(k4_ordinal1))) ) ) ) ).
fof(t34_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k18_margrel1(k4_comput_1(B, A))=B) ) ) ) ).
fof(d8_comput_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k5_comput_1(A, B)=k12_card_3(k2_finseq_2(A, k4_ordinal1), B)) ) ) ) ).
fof(t35_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => r2_tarski(k5_comput_1(B, A), k2_comput_1(k4_ordinal1))) ) ) ) ).
fof(t36_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (k1_relset_1(k3_finseq_2(k4_ordinal1), k5_comput_1(B, A))=k4_finseq_2(B, k4_ordinal1) &  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, B))  => k10_xtuple_0(k5_comput_1(B, A))=k4_ordinal1) ) ) ) ) ) ).
fof(t37_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k18_margrel1(k5_comput_1(B, A))=B) ) ) ) ).
fof(t38_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_2(C, k4_ordinal1, k4_finseq_2(B, k4_ordinal1)) => k1_recdef_1(k5_comput_1(B, A), C)=k1_recdef_1(C, A)) ) ) ) ) ) ).
fof(t39_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k2_comput_1(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k2_comput_1(C))))) )  =>  ~ ( (v1_comput_1(k10_xtuple_0(D)) &  ( (! [E] :  (m1_subset_1(E, B) => r1_tarski(k9_xtuple_0(k3_funct_2(B, k2_comput_1(C), D, E)), k4_finseq_2(A, C))) )  &  (! [E] :  (m2_rfunct_3(E, k3_finseq_2(C), C, k2_comput_1(C)) =>  ~ ( (E=k3_card_3(D) & r1_tarski(k1_relset_1(k3_finseq_2(C), E), k4_finseq_2(A, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_comput_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_comput_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_comput_1(A))))) )  =>  ( (! [C] :  (v7_ordinal1(C) => r1_tarski(k8_nat_1(k2_comput_1(A), B, C), k8_nat_1(k2_comput_1(A), B, k1_nat_1(C, 1)))) )  => r2_tarski(k3_card_3(B), k2_comput_1(A))) ) ) ) ) ).
fof(t41_comput_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_comput_1(B) & m2_finseq_1(B, k2_comput_1(A)))  => r1_tarski(k9_xtuple_0(k5_funct_6(B)), k4_finseq_2(k1_comput_1(B), A))) ) ) ) ).
fof(t42_comput_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_rfunct_3(B, k3_finseq_2(A), A, k2_comput_1(A)) =>  (! [C] :  ( (v3_comput_1(C) & m2_finseq_1(C, k2_comput_1(A)))  =>  (r1_tarski(k9_xtuple_0(k3_relat_1(k5_funct_6(C), B)), k4_finseq_2(k1_comput_1(C), A)) &  (r1_tarski(k10_xtuple_0(k3_relat_1(k5_funct_6(C), B)), A) & r2_tarski(k3_relat_1(k5_funct_6(C), B), k2_comput_1(A))) ) ) ) ) ) ) ) ).
fof(t43_comput_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(A) &  (v4_valued_0(A) & v2_margrel1(A)) ) ) )  => k1_comput_1(k9_finseq_1(A))=k18_margrel1(A)) ) ).
fof(t44_comput_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_rfunct_3(A, k3_finseq_2(k4_ordinal1), k4_ordinal1, k2_comput_1(k4_ordinal1)))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_rfunct_3(B, k3_finseq_2(k4_ordinal1), k4_ordinal1, k2_comput_1(k4_ordinal1)))  =>  (! [C] :  ( (v3_comput_1(C) & m2_finseq_1(C, k2_comput_1(k4_ordinal1)))  =>  (B=k3_relat_1(k5_funct_6(C), A) => k18_margrel1(B)=k1_comput_1(C)) ) ) ) ) ) ) ).
fof(t45_comput_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v3_margrel1(B, A) & m2_rfunct_3(B, k3_finseq_2(A), A, k2_comput_1(A))) )  =>  (! [C] :  ( (v3_comput_1(C) & m2_finseq_1(C, k2_comput_1(A)))  =>  ( (k18_margrel1(B)=k3_finseq_1(C) &  (! [D] :  (m2_rfunct_3(D, k3_finseq_2(A), A, k2_comput_1(A)) =>  (r2_tarski(D, k10_xtuple_0(C)) =>  (v3_margrel1(D, A) &  ~ (v1_xboole_0(D)) ) ) ) ) )  =>  (v1_xboole_0(C) |  ( ( ~ (v1_xboole_0(k3_relat_1(k5_funct_6(C), B)))  &  (v3_margrel1(k3_relat_1(k5_funct_6(C), B), A) & m2_rfunct_3(k3_relat_1(k5_funct_6(C), B), k3_finseq_2(A), A, k2_comput_1(A))) )  & k9_xtuple_0(k3_relat_1(k5_funct_6(C), B))=k4_finseq_2(k1_comput_1(C), A)) ) ) ) ) ) ) ) ) ).
fof(t46_comput_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_margrel1(B, A) & m2_rfunct_3(B, k3_finseq_2(A), A, k2_comput_1(A)))  =>  (! [C] :  ( (v3_comput_1(C) & m2_finseq_1(C, k2_comput_1(A)))  =>  ( (k18_margrel1(B)=k3_finseq_1(C) &  (! [D] :  (m2_rfunct_3(D, k3_finseq_2(A), A, k2_comput_1(A)) =>  (r2_tarski(D, k10_xtuple_0(C)) => v3_margrel1(D, A)) ) ) )  =>  (v3_margrel1(k3_relat_1(k5_funct_6(C), B), A) & m2_rfunct_3(k3_relat_1(k5_funct_6(C), B), k3_finseq_2(A), A, k2_comput_1(A))) ) ) ) ) ) ) ) ).
fof(t47_comput_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v3_margrel1(B, A) & m2_rfunct_3(B, k3_finseq_2(A), A, k2_comput_1(A))) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v3_margrel1(C, A) & m2_rfunct_3(C, k3_finseq_2(A), A, k2_comput_1(A))) )  =>  ( (k18_margrel1(B)=k5_numbers &  (k18_margrel1(C)=k5_numbers & k1_funct_1(B, k1_xboole_0)=k1_funct_1(C, k1_xboole_0)) )  => B=C) ) ) ) ) ) ) ).
fof(t48_comput_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(A) &  (v4_valued_0(A) &  (v2_margrel1(A) & v2_comput_1(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(B) &  (v4_valued_0(B) &  (v2_margrel1(B) & v2_comput_1(B)) ) ) ) ) )  =>  ( (k18_margrel1(A)=k5_numbers &  (k18_margrel1(B)=k5_numbers & k1_recdef_1(A, k1_xboole_0)=k1_recdef_1(B, k1_xboole_0)) )  => A=B) ) ) ) ) ).
fof(d9_comput_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(A) &  (v4_valued_0(A) & v2_margrel1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(B) &  (v4_valued_0(B) & v2_margrel1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(C) &  (v4_valued_0(C) & v2_margrel1(C)) ) ) )  =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r1_comput_1(A, B, C, D) <=>  (? [E] :  (m1_subset_1(E, k4_ordinal1) &  (r1_tarski(k1_relset_1(k3_finseq_2(k4_ordinal1), A), k4_finseq_2(E, k4_ordinal1)) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, E) &  (k1_nat_1(k18_margrel1(B), 1)=E &  (k1_nat_1(E, 1)=k18_margrel1(C) &  (! [F] :  (m2_finseq_1(F, k4_ordinal1) =>  (k3_finseq_1(F)=E =>  ( (r2_tarski(k2_funct_7(k4_ordinal1, F, D, k5_numbers), k1_relset_1(k3_finseq_2(k4_ordinal1), A)) => r2_tarski(k2_finseq_3(D, F), k1_relset_1(k3_finseq_2(k4_ordinal1), B)))  &  ( (r2_tarski(k2_finseq_3(D, F), k1_relset_1(k3_finseq_2(k4_ordinal1), B)) => r2_tarski(k2_funct_7(k4_ordinal1, F, D, k5_numbers), k1_relset_1(k3_finseq_2(k4_ordinal1), A)))  &  ( (r2_tarski(k2_funct_7(k4_ordinal1, F, D, k5_numbers), k1_relset_1(k3_finseq_2(k4_ordinal1), A)) => k1_recdef_1(A, k2_funct_7(k4_ordinal1, F, D, k5_numbers))=k1_recdef_1(B, k2_finseq_3(D, F)))  &  (! [G] :  (v7_ordinal1(G) =>  ( (r2_tarski(k2_funct_7(k4_ordinal1, F, D, k1_nat_1(G, 1)), k1_relset_1(k3_finseq_2(k4_ordinal1), A)) =>  (r2_tarski(k1_funct_7(F, D, G), k1_relset_1(k3_finseq_2(k4_ordinal1), A)) & r2_tarski(k7_finseq_1(k1_funct_7(F, D, G), k12_finseq_1(k4_ordinal1, k1_recdef_1(A, k1_funct_7(F, D, G)))), k1_relset_1(k3_finseq_2(k4_ordinal1), C))) )  &  ( ( (r2_tarski(k1_funct_7(F, D, G), k1_relset_1(k3_finseq_2(k4_ordinal1), A)) & r2_tarski(k7_finseq_1(k1_funct_7(F, D, G), k12_finseq_1(k4_ordinal1, k1_recdef_1(A, k1_funct_7(F, D, G)))), k1_relset_1(k3_finseq_2(k4_ordinal1), C)))  => r2_tarski(k2_funct_7(k4_ordinal1, F, D, k1_nat_1(G, 1)), k1_relset_1(k3_finseq_2(k4_ordinal1), A)))  &  (r2_tarski(k2_funct_7(k4_ordinal1, F, D, k1_nat_1(G, 1)), k1_relset_1(k3_finseq_2(k4_ordinal1), A)) => k1_recdef_1(A, k2_funct_7(k4_ordinal1, F, D, k1_nat_1(G, 1)))=k1_recdef_1(C, k7_finseq_1(k1_funct_7(F, D, G), k12_finseq_1(k4_ordinal1, k1_recdef_1(A, k1_funct_7(F, D, G)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_comput_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(A) &  (v4_valued_0(A) & v2_margrel1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(B) &  (v4_valued_0(B) & v2_margrel1(B)) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  (! [E] :  (m2_rfunct_3(E, k3_finseq_2(k4_ordinal1), k4_ordinal1, k2_comput_1(k4_ordinal1)) =>  (E=k6_comput_1(A, B, C, D) <=>  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k2_comput_1(k4_ordinal1)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_comput_1(k4_ordinal1))))) )  &  (E=k8_nat_1(k2_comput_1(k4_ordinal1), F, k7_partfun1(k4_ordinal1, D, C)) &  ( ( (r2_tarski(C, k4_finseq_1(D)) & r2_tarski(k2_finseq_3(C, D), k1_relset_1(k3_finseq_2(k4_ordinal1), A)))  => k8_nat_1(k2_comput_1(k4_ordinal1), F, k5_numbers)=k17_funcop_1(k2_funct_7(k4_ordinal1, D, C, k5_numbers), k1_recdef_1(A, k2_finseq_3(C, D))))  &  ( ( ~ ( (r2_tarski(C, k4_finseq_1(D)) & r2_tarski(k2_finseq_3(C, D), k1_relset_1(k3_finseq_2(k4_ordinal1), A))) )  => k8_nat_1(k2_comput_1(k4_ordinal1), F, k5_numbers)=k1_xboole_0)  &  (! [G] :  (v7_ordinal1(G) =>  ( ( (r2_tarski(C, k4_finseq_1(D)) &  (r2_tarski(k1_funct_7(D, C, G), k1_relset_1(k3_finseq_2(k4_ordinal1), k8_nat_1(k2_comput_1(k4_ordinal1), F, G))) & r2_tarski(k7_finseq_1(k1_funct_7(D, C, G), k12_finseq_1(k4_ordinal1, k1_recdef_1(k8_nat_1(k2_comput_1(k4_ordinal1), F, G), k1_funct_7(D, C, G)))), k1_relset_1(k3_finseq_2(k4_ordinal1), B))) )  => k8_nat_1(k2_comput_1(k4_ordinal1), F, k1_nat_1(G, 1))=k1_funct_4(k8_nat_1(k2_comput_1(k4_ordinal1), F, G), k17_funcop_1(k2_funct_7(k4_ordinal1, D, C, k1_nat_1(G, 1)), k1_recdef_1(B, k7_finseq_1(k1_funct_7(D, C, G), k12_finseq_1(k4_ordinal1, k1_recdef_1(k8_nat_1(k2_comput_1(k4_ordinal1), F, G), k1_funct_7(D, C, G))))))))  &  ( ~ ( (r2_tarski(C, k4_finseq_1(D)) &  (r2_tarski(k1_funct_7(D, C, G), k1_relset_1(k3_finseq_2(k4_ordinal1), k8_nat_1(k2_comput_1(k4_ordinal1), F, G))) & r2_tarski(k7_finseq_1(k1_funct_7(D, C, G), k12_finseq_1(k4_ordinal1, k1_recdef_1(k8_nat_1(k2_comput_1(k4_ordinal1), F, G), k1_funct_7(D, C, G)))), k1_relset_1(k3_finseq_2(k4_ordinal1), B))) ) )  => k8_nat_1(k2_comput_1(k4_ordinal1), F, k1_nat_1(G, 1))=k8_nat_1(k2_comput_1(k4_ordinal1), F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_comput_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(A) &  (v4_valued_0(A) & v2_margrel1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(B) &  (v4_valued_0(B) & v2_margrel1(B)) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  (! [E] :  (m2_finseq_1(E, k4_ordinal1) =>  ~ ( (r2_tarski(E, k1_relset_1(k3_finseq_2(k4_ordinal1), k6_comput_1(A, B, C, D))) &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  ~ (E=k2_funct_7(k4_ordinal1, D, C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_comput_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(A) &  (v4_valued_0(A) & v2_margrel1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(B) &  (v4_valued_0(B) & v2_margrel1(B)) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  ( ~ (r2_tarski(C, k4_finseq_1(D)))  => k6_comput_1(A, B, C, D)=k1_xboole_0) ) ) ) ) ) ) ) ) ).
fof(t51_comput_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(A) &  (v4_valued_0(A) & v2_margrel1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(B) &  (v4_valued_0(B) & v2_margrel1(B)) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  (! [E] :  (m2_finseq_1(E, k4_ordinal1) => r1_partfun1(k6_comput_1(A, B, C, D), k6_comput_1(A, B, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t52_comput_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(A) &  (v4_valued_0(A) & v2_margrel1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(B) &  (v4_valued_0(B) & v2_margrel1(B)) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) => r1_tarski(k1_relset_1(k3_finseq_2(k4_ordinal1), k6_comput_1(A, B, C, D)), k4_finseq_2(k1_nat_1(1, k18_margrel1(A)), k4_ordinal1))) ) ) ) ) ) ) ) ).
fof(t53_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(B) &  (v4_valued_0(B) & v2_margrel1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(C) &  (v4_valued_0(C) & v2_margrel1(C)) ) ) )  =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  (v1_xboole_0(B) => v1_xboole_0(k6_comput_1(B, C, A, D))) ) ) ) ) ) ) ) ) ).
fof(t54_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(B) &  (v4_valued_0(B) & v2_margrel1(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(C) &  (v4_valued_0(C) & v2_margrel1(C)) ) ) ) )  =>  (! [D] :  (m2_finseq_2(D, k4_ordinal1, k4_finseq_2(k1_nat_1(k18_margrel1(B), 1), k4_ordinal1)) =>  ( (v2_comput_1(B) &  (v2_comput_1(C) &  (k1_nat_1(k18_margrel1(B), 2)=k18_margrel1(C) &  (r1_xxreal_0(1, A) & r1_xxreal_0(A, k1_nat_1(1, k18_margrel1(B)))) ) ) )  => r2_tarski(D, k1_relset_1(k3_finseq_2(k4_ordinal1), k6_comput_1(B, C, A, D)))) ) ) ) ) ) ) ) ) ).
fof(d11_comput_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(A) &  (v4_valued_0(A) & v2_margrel1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(B) &  (v4_valued_0(B) & v2_margrel1(B)) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_rfunct_3(D, k3_finseq_2(k4_ordinal1), k4_ordinal1, k2_comput_1(k4_ordinal1)) =>  (D=k7_comput_1(A, B, C) <=>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_finseq_2(k1_nat_1(k18_margrel1(A), 1), k4_ordinal1), k2_comput_1(k4_ordinal1)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(k1_nat_1(k18_margrel1(A), 1), k4_ordinal1), k2_comput_1(k4_ordinal1))))) )  &  (D=k3_card_3(E) &  (! [F] :  (m2_finseq_2(F, k4_ordinal1, k4_finseq_2(k1_nat_1(k18_margrel1(A), 1), k4_ordinal1)) => k3_funct_2(k4_finseq_2(k1_nat_1(k18_margrel1(A), 1), k4_ordinal1), k2_comput_1(k4_ordinal1), E, F)=k6_comput_1(A, B, C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(B) &  (v4_valued_0(B) & v2_margrel1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(C) &  (v4_valued_0(C) & v2_margrel1(C)) ) ) )  =>  (v1_xboole_0(B) => v1_xboole_0(k7_comput_1(B, C, A))) ) ) ) ) ) ) ).
fof(t56_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(B) &  (v4_valued_0(B) & v2_margrel1(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(C) &  (v4_valued_0(C) & v2_margrel1(C)) ) ) ) )  => r1_tarski(k1_relset_1(k3_finseq_2(k4_ordinal1), k7_comput_1(B, C, A)), k4_finseq_2(k1_nat_1(k18_margrel1(B), 1), k4_ordinal1))) ) ) ) ) ) ).
fof(t57_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(B) &  (v4_valued_0(B) & v2_margrel1(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(C) &  (v4_valued_0(C) & v2_margrel1(C)) ) ) ) )  =>  ( (v2_comput_1(B) &  (v2_comput_1(C) &  (k1_nat_1(k18_margrel1(B), 2)=k18_margrel1(C) &  (r1_xxreal_0(1, A) & r1_xxreal_0(A, k1_nat_1(1, k18_margrel1(B)))) ) ) )  =>  (k1_relset_1(k3_finseq_2(k4_ordinal1), k7_comput_1(B, C, A))=k4_finseq_2(k1_nat_1(k18_margrel1(B), 1), k4_ordinal1) & k18_margrel1(k7_comput_1(B, C, A))=k1_nat_1(k18_margrel1(B), 1)) ) ) ) ) ) ) ) ).
fof(t58_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(B) &  (v4_valued_0(B) & v2_margrel1(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(C) &  (v4_valued_0(C) & v2_margrel1(C)) ) ) ) )  =>  (! [D] :  (m2_finseq_2(D, k4_ordinal1, k4_finseq_2(k1_nat_1(k18_margrel1(B), 1), k4_ordinal1)) =>  (r2_tarski(A, k4_finseq_1(D)) =>  (r2_tarski(k8_comput_1(k1_nat_1(k18_margrel1(B), 1), D, A, k5_numbers), k1_relset_1(k3_finseq_2(k4_ordinal1), k7_comput_1(B, C, A))) <=> r2_tarski(k2_finseq_3(A, D), k1_relset_1(k3_finseq_2(k4_ordinal1), B))) ) ) ) ) ) ) ) ) ) ).
fof(t59_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(B) &  (v4_valued_0(B) & v2_margrel1(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(C) &  (v4_valued_0(C) & v2_margrel1(C)) ) ) ) )  =>  (! [D] :  (m2_finseq_2(D, k4_ordinal1, k4_finseq_2(k1_nat_1(k18_margrel1(B), 1), k4_ordinal1)) =>  ( (r2_tarski(A, k4_finseq_1(D)) & r2_tarski(k8_comput_1(k1_nat_1(k18_margrel1(B), 1), D, A, k5_numbers), k1_relset_1(k3_finseq_2(k4_ordinal1), k7_comput_1(B, C, A))))  => k1_recdef_1(k7_comput_1(B, C, A), k8_comput_1(k1_nat_1(k18_margrel1(B), 1), D, A, k5_numbers))=k1_recdef_1(B, k2_finseq_3(A, D))) ) ) ) ) ) ) ) ) ).
fof(t60_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(B) &  (v4_valued_0(B) & v2_margrel1(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(C) &  (v4_valued_0(C) & v2_margrel1(C)) ) ) ) )  =>  (! [D] :  (m2_finseq_2(D, k4_ordinal1, k4_finseq_2(k1_nat_1(k18_margrel1(B), 1), k4_ordinal1)) =>  ( (r2_tarski(A, k4_finseq_1(D)) & v2_comput_1(B))  => k1_recdef_1(k7_comput_1(B, C, A), k8_comput_1(k1_nat_1(k18_margrel1(B), 1), D, A, k5_numbers))=k1_recdef_1(B, k2_finseq_3(A, D))) ) ) ) ) ) ) ) ) ).
fof(t61_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(C) &  (v4_valued_0(C) & v2_margrel1(C)) ) ) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_relat_1(D) &  (v4_relat_1(D, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(D) &  (v4_valued_0(D) & v2_margrel1(D)) ) ) ) )  =>  (! [E] :  (m2_finseq_2(E, k4_ordinal1, k4_finseq_2(k1_nat_1(k18_margrel1(C), 1), k4_ordinal1)) =>  (r2_tarski(A, k4_finseq_1(E)) =>  (r2_tarski(k8_comput_1(k1_nat_1(k18_margrel1(C), 1), E, A, k1_nat_1(B, 1)), k1_relset_1(k3_finseq_2(k4_ordinal1), k7_comput_1(C, D, A))) <=>  (r2_tarski(k8_comput_1(k1_nat_1(k18_margrel1(C), 1), E, A, B), k1_relset_1(k3_finseq_2(k4_ordinal1), k7_comput_1(C, D, A))) & r2_tarski(k8_finseq_1(k4_ordinal1, k8_comput_1(k1_nat_1(k18_margrel1(C), 1), E, A, B), k12_finseq_1(k4_ordinal1, k1_recdef_1(k7_comput_1(C, D, A), k8_comput_1(k1_nat_1(k18_margrel1(C), 1), E, A, B)))), k1_relset_1(k3_finseq_2(k4_ordinal1), D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(C) &  (v4_valued_0(C) & v2_margrel1(C)) ) ) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_relat_1(D) &  (v4_relat_1(D, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(D) &  (v4_valued_0(D) & v2_margrel1(D)) ) ) ) )  =>  (! [E] :  (m2_finseq_2(E, k4_ordinal1, k4_finseq_2(k1_nat_1(k18_margrel1(C), 1), k4_ordinal1)) =>  ( (r2_tarski(A, k4_finseq_1(E)) & r2_tarski(k8_comput_1(k1_nat_1(k18_margrel1(C), 1), E, A, k1_nat_1(B, 1)), k1_relset_1(k3_finseq_2(k4_ordinal1), k7_comput_1(C, D, A))))  => k1_recdef_1(k7_comput_1(C, D, A), k8_comput_1(k1_nat_1(k18_margrel1(C), 1), E, A, k1_nat_1(B, 1)))=k1_recdef_1(D, k8_finseq_1(k4_ordinal1, k8_comput_1(k1_nat_1(k18_margrel1(C), 1), E, A, B), k12_finseq_1(k4_ordinal1, k1_recdef_1(k7_comput_1(C, D, A), k8_comput_1(k1_nat_1(k18_margrel1(C), 1), E, A, B)))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(C) &  (v4_valued_0(C) & v2_margrel1(C)) ) ) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_relat_1(D) &  (v4_relat_1(D, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(D) &  (v4_valued_0(D) & v2_margrel1(D)) ) ) ) )  =>  (! [E] :  (m2_finseq_2(E, k4_ordinal1, k4_finseq_2(k1_nat_1(k18_margrel1(C), 1), k4_ordinal1)) =>  ( (v2_comput_1(C) &  (v2_comput_1(D) &  (k1_nat_1(k18_margrel1(C), 2)=k18_margrel1(D) &  (r1_xxreal_0(1, A) & r1_xxreal_0(A, k1_nat_1(1, k18_margrel1(C)))) ) ) )  => k1_recdef_1(k7_comput_1(C, D, A), k8_comput_1(k1_nat_1(k18_margrel1(C), 1), E, A, k1_nat_1(B, 1)))=k1_recdef_1(D, k8_finseq_1(k4_ordinal1, k8_comput_1(k1_nat_1(k18_margrel1(C), 1), E, A, B), k12_finseq_1(k4_ordinal1, k1_recdef_1(k7_comput_1(C, D, A), k8_comput_1(k1_nat_1(k18_margrel1(C), 1), E, A, B)))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(B) &  (v4_valued_0(B) & v2_margrel1(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(C) &  (v4_valued_0(C) & v2_margrel1(C)) ) ) ) )  =>  ( (k1_nat_1(k18_margrel1(B), 2)=k18_margrel1(C) &  (r1_xxreal_0(1, A) & r1_xxreal_0(A, k1_nat_1(k18_margrel1(B), 1))) )  => r1_comput_1(k7_comput_1(B, C, A), B, C, A)) ) ) ) ) ) ) ).
fof(t65_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(B) &  (v4_valued_0(B) & v2_margrel1(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(C) &  (v4_valued_0(C) & v2_margrel1(C)) ) ) ) )  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, k1_nat_1(k18_margrel1(B), 1)))  =>  (! [D] :  (m2_rfunct_3(D, k3_finseq_2(k4_ordinal1), k4_ordinal1, k2_comput_1(k4_ordinal1)) =>  (r1_comput_1(D, B, C, A) => D=k7_comput_1(B, C, A)) ) ) ) ) ) ) ) ) ) ).
fof(d12_comput_1, axiom,  (! [A] :  (v4_comput_1(A) <=>  (! [B] :  (m2_rfunct_3(B, k3_finseq_2(k4_ordinal1), k4_ordinal1, k2_comput_1(k4_ordinal1)) =>  (! [C] :  ( (v3_comput_1(C) & m2_finseq_1(C, k2_comput_1(k4_ordinal1)))  =>  ( (r2_tarski(B, A) &  (k18_margrel1(B)=k3_finseq_1(C) & r1_tarski(k10_xtuple_0(C), A)) )  => r2_tarski(k3_relat_1(k5_funct_6(C), B), A)) ) ) ) ) ) ) ).
fof(d13_comput_1, axiom,  (! [A] :  (v5_comput_1(A) <=>  (! [B] :  (m2_rfunct_3(B, k3_finseq_2(k4_ordinal1), k4_ordinal1, k2_comput_1(k4_ordinal1)) =>  (! [C] :  (m2_rfunct_3(C, k3_finseq_2(k4_ordinal1), k4_ordinal1, k2_comput_1(k4_ordinal1)) =>  (! [D] :  (m2_rfunct_3(D, k3_finseq_2(k4_ordinal1), k4_ordinal1, k2_comput_1(k4_ordinal1)) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( (r1_comput_1(B, C, D, E) &  (r2_tarski(C, A) & r2_tarski(D, A)) )  => r2_tarski(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_comput_1, axiom,  (! [A] :  (v6_comput_1(A) <=>  (r2_tarski(k3_comput_1(k5_numbers, k5_numbers), A) &  (r2_tarski(k4_comput_1(1, 1), A) &  ( (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, B))  => r2_tarski(k5_comput_1(B, C), A)) ) ) ) )  &  (v4_comput_1(A) & v5_comput_1(A)) ) ) ) ) ) ).
fof(t66_comput_1, axiom, v6_comput_1(k2_comput_1(k4_ordinal1))).
fof(t67_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(B) &  (v4_valued_0(B) & v2_margrel1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(C) &  (v4_valued_0(C) & v2_margrel1(C)) ) ) )  =>  (! [D] :  (m2_rfunct_3(D, k3_finseq_2(k4_ordinal1), k4_ordinal1, k2_comput_1(k4_ordinal1)) =>  ( (B=k1_xboole_0 & r1_comput_1(D, B, C, A))  => D=k1_xboole_0) ) ) ) ) ) ) ) ) ).
fof(t68_comput_1, axiom,  (! [A] :  (m2_rfunct_3(A, k3_finseq_2(k4_ordinal1), k4_ordinal1, k2_comput_1(k4_ordinal1)) =>  (! [B] :  ( (v3_margrel1(B, k4_ordinal1) & m2_rfunct_3(B, k3_finseq_2(k4_ordinal1), k4_ordinal1, k2_comput_1(k4_ordinal1)))  =>  (! [C] :  ( (v3_margrel1(C, k4_ordinal1) & m2_rfunct_3(C, k3_finseq_2(k4_ordinal1), k4_ordinal1, k2_comput_1(k4_ordinal1)))  =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r1_comput_1(A, B, C, D) =>  (v3_margrel1(A, k4_ordinal1) &  ~ ( ( ~ (v1_xboole_0(B))  & v1_xboole_0(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t69_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v6_comput_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_comput_1(k4_ordinal1)))) )  => r2_tarski(k3_comput_1(B, A), C)) ) ) ) ) ) ).
fof(t70_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v6_comput_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_comput_1(k4_ordinal1)))) )  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, B))  => r2_tarski(k4_comput_1(B, A), C)) ) ) ) ) ) ) ).
fof(t71_comput_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v6_comput_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_comput_1(k4_ordinal1)))) )  => r2_tarski(k1_xboole_0, A)) ) ).
fof(t72_comput_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v6_comput_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_comput_1(k4_ordinal1)))) )  =>  (! [B] :  (m1_comput_1(B, k3_finseq_2(k4_ordinal1), k4_ordinal1, k2_comput_1(k4_ordinal1), A) =>  (! [C] :  ( (v3_comput_1(C) & m2_finseq_1(C, A))  =>  (k18_margrel1(B)=k3_finseq_1(C) => r2_tarski(k3_relat_1(k5_funct_6(C), B), A)) ) ) ) ) ) ) ).
fof(t73_comput_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v6_comput_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_comput_1(k4_ordinal1)))) )  =>  (! [B] :  (m1_comput_1(B, k3_finseq_2(k4_ordinal1), k4_ordinal1, k2_comput_1(k4_ordinal1), A) =>  (! [C] :  (m1_comput_1(C, k3_finseq_2(k4_ordinal1), k4_ordinal1, k2_comput_1(k4_ordinal1), A) =>  (k1_nat_1(k18_margrel1(B), 2)=k18_margrel1(C) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, k1_nat_1(k18_margrel1(B), 1)))  => r2_tarski(k7_comput_1(B, C, D), A)) ) ) ) ) ) ) ) ) ) ).
fof(t74_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_comput_1(k4_ordinal1))) =>  (v6_comput_1(A) => r1_tarski(k9_comput_1, A)) ) ) ).
fof(d16_comput_1, axiom,  (! [A] :  (v7_comput_1(A) <=> r2_tarski(A, k9_comput_1)) ) ).
fof(d20_comput_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k9_setfam_1(k2_comput_1(k4_ordinal1))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k2_comput_1(k4_ordinal1)))))) )  =>  (A=k13_comput_1 <=>  (k8_nat_1(k9_setfam_1(k2_comput_1(k4_ordinal1)), A, k5_numbers)=k10_comput_1 &  (! [B] :  (v7_ordinal1(B) => k8_nat_1(k9_setfam_1(k2_comput_1(k4_ordinal1)), A, k1_nat_1(B, 1))=k4_subset_1(k2_comput_1(k4_ordinal1), k11_comput_1(k8_nat_1(k9_setfam_1(k2_comput_1(k4_ordinal1)), A, B)), k12_comput_1(k8_nat_1(k9_setfam_1(k2_comput_1(k4_ordinal1)), A, B)))) ) ) ) ) ) ).
fof(t75_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (r1_xxreal_0(A, B) => r1_tarski(k8_nat_1(k9_setfam_1(k2_comput_1(k4_ordinal1)), k13_comput_1, A), k8_nat_1(k9_setfam_1(k2_comput_1(k4_ordinal1)), k13_comput_1, B))) ) ) ) ) ).
fof(t76_comput_1, axiom, v6_comput_1(k1_prob_1(k2_comput_1(k4_ordinal1), k13_comput_1))).
fof(t77_comput_1, axiom, k9_comput_1=k1_prob_1(k2_comput_1(k4_ordinal1), k13_comput_1)).
fof(t78_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m2_rfunct_3(B, k3_finseq_2(k4_ordinal1), k4_ordinal1, k2_comput_1(k4_ordinal1)) =>  (r2_tarski(B, k8_nat_1(k9_setfam_1(k2_comput_1(k4_ordinal1)), k13_comput_1, A)) => v3_margrel1(B, k4_ordinal1)) ) ) ) ) ).
fof(d21_comput_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v2_margrel1(B))  =>  (v8_comput_1(B, A) <=> k17_margrel1(B)=A) ) ) ) ).
fof(t79_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(B) &  (v4_valued_0(B) &  (v2_margrel1(B) &  (v2_comput_1(B) & v8_comput_1(B, 1)) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(C) &  (v4_valued_0(C) & v2_margrel1(C)) ) ) ) )  => k1_recdef_1(k7_comput_1(B, C, 2), k2_finseq_4(k4_ordinal1, A, k5_numbers))=k1_recdef_1(B, k12_finseq_1(k4_ordinal1, A))) ) ) ) ) ) ).
fof(t80_comput_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(A) &  (v4_valued_0(A) & v2_margrel1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(B) &  (v4_valued_0(B) & v2_margrel1(B)) ) ) ) )  =>  ( (v2_comput_1(A) & k18_margrel1(A)=k5_numbers)  => k1_recdef_1(k7_comput_1(A, B, 1), k12_finseq_1(k4_ordinal1, k5_numbers))=k1_recdef_1(A, k1_xboole_0)) ) ) ) ) ).
fof(t81_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(C) &  (v4_valued_0(C) &  (v2_margrel1(C) &  (v2_comput_1(C) & v8_comput_1(C, 1)) ) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(D) &  (v4_valued_0(D) &  (v2_margrel1(D) &  (v2_comput_1(D) & v8_comput_1(D, 3)) ) ) ) ) )  => k1_recdef_1(k7_comput_1(C, D, 2), k2_finseq_4(k4_ordinal1, A, k1_nat_1(B, 1)))=k1_recdef_1(D, k3_finseq_4(k4_ordinal1, A, B, k1_recdef_1(k7_comput_1(C, D, 2), k2_finseq_4(k4_ordinal1, A, B))))) ) ) ) ) ) ) ) ).
fof(t82_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(B) &  (v4_valued_0(B) & v2_margrel1(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(C) &  (v4_valued_0(C) & v2_margrel1(C)) ) ) ) )  =>  ( (v2_comput_1(B) &  (v2_comput_1(C) &  (k18_margrel1(B)=k5_numbers & k18_margrel1(C)=2) ) )  => k1_recdef_1(k7_comput_1(B, C, 1), k12_finseq_1(k4_ordinal1, k1_nat_1(A, 1)))=k1_recdef_1(C, k2_finseq_4(k4_ordinal1, A, k1_recdef_1(k7_comput_1(B, C, 1), k12_finseq_1(k4_ordinal1, A))))) ) ) ) ) ) ) ).
fof(d22_comput_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => k14_comput_1(A)=k3_relat_1(k5_funct_6(k10_finseq_1(k5_comput_1(3, 1), k5_comput_1(3, 3))), A)) ) ).
fof(t83_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(D) &  (v4_valued_0(D) &  (v2_margrel1(D) &  (v2_comput_1(D) & v8_comput_1(D, 2)) ) ) ) ) )  => k1_recdef_1(k14_comput_1(D), k3_finseq_4(k4_ordinal1, A, B, C))=k1_recdef_1(D, k2_finseq_4(k4_ordinal1, A, C))) ) ) ) ) ) ) ) ).
fof(t84_comput_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v7_comput_1(A) & v8_comput_1(A, 2)) ) )  => r2_tarski(k14_comput_1(A), k9_comput_1)) ) ).
fof(d23_comput_1, axiom, k15_comput_1=k7_comput_1(k5_comput_1(1, 1), k4_comput_1(3, 3), 2)).
fof(t85_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k1_recdef_1(k15_comput_1, k2_finseq_4(k4_ordinal1, A, B))=k1_nat_1(A, B)) ) ) ) ).
fof(d24_comput_1, axiom, k16_comput_1=k7_comput_1(k3_comput_1(1, k5_numbers), k14_comput_1(k15_comput_1), 2)).
fof(t86_comput_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k1_recdef_1(k16_comput_1, k10_finseq_1(A, B))=k3_xcmplx_0(A, B)) ) ) ) ).
fof(d25_comput_1, axiom, k17_comput_1=k7_comput_1(k3_comput_1(k5_numbers, 1), k3_relat_1(k5_funct_6(k10_finseq_1(k3_relat_1(k5_funct_6(k9_finseq_1(k5_comput_1(2, 1))), k4_comput_1(1, 1)), k5_comput_1(2, 2))), k16_comput_1), 1)).
fof(t87_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => k1_recdef_1(k17_comput_1, k12_finseq_1(k4_ordinal1, A))=k7_newton(A)) ) ).
fof(d26_comput_1, axiom, k18_comput_1=k7_comput_1(k3_comput_1(1, 1), k14_comput_1(k16_comput_1), 2)).
fof(t88_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k1_recdef_1(k18_comput_1, k2_finseq_4(k4_ordinal1, A, B))=k11_newton(A, B)) ) ) ) ).
fof(d27_comput_1, axiom, k19_comput_1=k7_comput_1(k3_comput_1(k5_numbers, k5_numbers), k5_comput_1(2, 1), 1)).
fof(t89_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (k1_recdef_1(k19_comput_1, k12_finseq_1(k4_ordinal1, k5_numbers))=k5_numbers & k1_recdef_1(k19_comput_1, k12_finseq_1(k4_ordinal1, k1_nat_1(A, 1)))=A) ) ) ).
fof(d28_comput_1, axiom, k20_comput_1=k7_comput_1(k5_comput_1(1, 1), k14_comput_1(k3_relat_1(k5_funct_6(k9_finseq_1(k5_comput_1(2, 2))), k19_comput_1)), 2)).
fof(t90_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k1_recdef_1(k20_comput_1, k2_finseq_4(k4_ordinal1, A, B))=k7_nat_d(A, B)) ) ) ) ).
fof(s1_comput_1, axiom,  ( ( (! [A] :  (m1_subset_1(A, k4_ordinal1) => k1_recdef_1(f1_s1_comput_1, k12_finseq_1(k4_ordinal1, A))=f3_s1_comput_1(A)) )  &  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k1_recdef_1(f2_s1_comput_1, k2_finseq_4(k4_ordinal1, A, B))=f4_s1_comput_1(A, B)) ) ) ) )  =>  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k1_recdef_1(k3_relat_1(k5_funct_6(k9_finseq_1(f2_s1_comput_1)), f1_s1_comput_1), k2_finseq_4(k4_ordinal1, A, B))=f3_s1_comput_1(f4_s1_comput_1(A, B))) ) ) ) ) ).
fof(s2_comput_1, axiom,  ( ( (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k1_recdef_1(f1_s2_comput_1, k2_finseq_4(k4_ordinal1, A, B))=f4_s2_comput_1(A, B)) ) ) )  &  ( (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k1_recdef_1(f2_s2_comput_1, k2_finseq_4(k4_ordinal1, A, B))=f5_s2_comput_1(A, B)) ) ) )  &  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k1_recdef_1(f3_s2_comput_1, k2_finseq_4(k4_ordinal1, A, B))=f6_s2_comput_1(A, B)) ) ) ) ) )  =>  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k1_recdef_1(k3_relat_1(k5_funct_6(k10_finseq_1(f2_s2_comput_1, f3_s2_comput_1)), f1_s2_comput_1), k2_finseq_4(k4_ordinal1, A, B))=f4_s2_comput_1(f5_s2_comput_1(A, B), f6_s2_comput_1(A, B))) ) ) ) ) ).
fof(dt_k1_comput_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_comput_1(A))  => m1_subset_1(k1_comput_1(A), k4_ordinal1)) ) ).
fof(dt_k2_comput_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(k2_comput_1(A)))  & m1_rfunct_3(k2_comput_1(A), k3_finseq_2(A), A)) ) ).
fof(dt_k3_comput_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  =>  (v1_relat_1(k3_comput_1(A, B)) &  (v4_relat_1(k3_comput_1(A, B), k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(k3_comput_1(A, B)) &  (v4_valued_0(k3_comput_1(A, B)) & v2_margrel1(k3_comput_1(A, B))) ) ) ) ) ) ).
fof(dt_k4_comput_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  =>  (v1_relat_1(k4_comput_1(A, B)) &  (v4_relat_1(k4_comput_1(A, B), k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(k4_comput_1(A, B)) &  (v4_valued_0(k4_comput_1(A, B)) & v2_margrel1(k4_comput_1(A, B))) ) ) ) ) ) ).
fof(dt_k5_comput_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  =>  (v1_relat_1(k5_comput_1(A, B)) &  (v4_relat_1(k5_comput_1(A, B), k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(k5_comput_1(A, B)) &  (v4_valued_0(k5_comput_1(A, B)) & v2_margrel1(k5_comput_1(A, B))) ) ) ) ) ) ).
fof(dt_m1_comput_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  & m1_rfunct_3(C, A, B))  &  ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(C))) ) ) )  =>  (! [E] :  (m1_comput_1(E, A, B, C, D) => m2_rfunct_3(E, A, B, C)) ) ) ) ).
fof(existence_m1_comput_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  & m1_rfunct_3(C, A, B))  &  ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(C))) ) ) )  =>  (? [E] : m1_comput_1(E, A, B, C, D)) ) ) ).
fof(redefinition_m1_comput_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  & m1_rfunct_3(C, A, B))  &  ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(C))) ) ) )  =>  (! [E] :  (m1_comput_1(E, A, B, C, D) <=> m1_subset_1(E, D)) ) ) ) ).
fof(dt_k6_comput_1, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(A) &  (v4_valued_0(A) & v2_margrel1(A)) ) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(B) &  (v4_valued_0(B) & v2_margrel1(B)) ) ) )  &  (v7_ordinal1(C) & m1_finseq_1(D, k4_ordinal1)) ) )  => m2_rfunct_3(k6_comput_1(A, B, C, D), k3_finseq_2(k4_ordinal1), k4_ordinal1, k2_comput_1(k4_ordinal1))) ) ).
fof(dt_k7_comput_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(A) &  (v4_valued_0(A) & v2_margrel1(A)) ) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(B) &  (v4_valued_0(B) & v2_margrel1(B)) ) ) )  & v7_ordinal1(C)) )  => m2_rfunct_3(k7_comput_1(A, B, C), k3_finseq_2(k4_ordinal1), k4_ordinal1, k2_comput_1(k4_ordinal1))) ) ).
fof(dt_k8_comput_1, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, k4_finseq_2(A, k4_ordinal1)) &  (m1_subset_1(C, k4_ordinal1) & m1_subset_1(D, k4_ordinal1)) ) )  => m2_finseq_2(k8_comput_1(A, B, C, D), k4_ordinal1, k4_finseq_2(A, k4_ordinal1))) ) ).
fof(redefinition_k8_comput_1, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, k4_finseq_2(A, k4_ordinal1)) &  (m1_subset_1(C, k4_ordinal1) & m1_subset_1(D, k4_ordinal1)) ) )  => k8_comput_1(A, B, C, D)=k1_funct_7(B, C, D)) ) ).
fof(dt_k9_comput_1, axiom, m1_subset_1(k9_comput_1, k1_zfmisc_1(k2_comput_1(k4_ordinal1)))).
fof(dt_k10_comput_1, axiom, m1_subset_1(k10_comput_1, k1_zfmisc_1(k2_comput_1(k4_ordinal1)))).
fof(dt_k11_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_comput_1(k4_ordinal1))) => m1_subset_1(k11_comput_1(A), k1_zfmisc_1(k2_comput_1(k4_ordinal1)))) ) ).
fof(dt_k12_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_comput_1(k4_ordinal1))) => m1_subset_1(k12_comput_1(A), k1_zfmisc_1(k2_comput_1(k4_ordinal1)))) ) ).
fof(dt_k13_comput_1, axiom,  (v1_funct_1(k13_comput_1) &  (v1_funct_2(k13_comput_1, k4_ordinal1, k9_setfam_1(k2_comput_1(k4_ordinal1))) & m1_subset_1(k13_comput_1, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k2_comput_1(k4_ordinal1)))))) ) ).
fof(dt_k14_comput_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k14_comput_1(A)) & v1_funct_1(k14_comput_1(A))) ) ) ).
fof(dt_k15_comput_1, axiom,  (v1_relat_1(k15_comput_1) &  (v1_funct_1(k15_comput_1) &  (v7_comput_1(k15_comput_1) & v8_comput_1(k15_comput_1, 2)) ) ) ).
fof(dt_k16_comput_1, axiom,  (v1_relat_1(k16_comput_1) &  (v1_funct_1(k16_comput_1) &  (v7_comput_1(k16_comput_1) & v8_comput_1(k16_comput_1, 2)) ) ) ).
fof(dt_k17_comput_1, axiom,  (v1_relat_1(k17_comput_1) &  (v1_funct_1(k17_comput_1) &  (v7_comput_1(k17_comput_1) & v8_comput_1(k17_comput_1, 1)) ) ) ).
fof(dt_f1_s1_comput_1, axiom,  (v1_relat_1(f1_s1_comput_1) &  (v4_relat_1(f1_s1_comput_1, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(f1_s1_comput_1) &  (v4_valued_0(f1_s1_comput_1) &  (v2_margrel1(f1_s1_comput_1) &  (v2_comput_1(f1_s1_comput_1) & v8_comput_1(f1_s1_comput_1, 1)) ) ) ) ) ) ).
fof(dt_f2_s1_comput_1, axiom,  (v1_relat_1(f2_s1_comput_1) &  (v4_relat_1(f2_s1_comput_1, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(f2_s1_comput_1) &  (v4_valued_0(f2_s1_comput_1) &  (v2_margrel1(f2_s1_comput_1) &  (v2_comput_1(f2_s1_comput_1) & v8_comput_1(f2_s1_comput_1, 2)) ) ) ) ) ) ).
fof(dt_f3_s1_comput_1, axiom,  (! [A] : m1_subset_1(f3_s1_comput_1(A), k4_ordinal1)) ).
fof(dt_f4_s1_comput_1, axiom,  (! [A, B] : m1_subset_1(f4_s1_comput_1(A, B), k4_ordinal1)) ).
fof(dt_f1_s2_comput_1, axiom,  (v1_relat_1(f1_s2_comput_1) &  (v4_relat_1(f1_s2_comput_1, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(f1_s2_comput_1) &  (v4_valued_0(f1_s2_comput_1) &  (v2_margrel1(f1_s2_comput_1) &  (v2_comput_1(f1_s2_comput_1) & v8_comput_1(f1_s2_comput_1, 2)) ) ) ) ) ) ).
fof(dt_f2_s2_comput_1, axiom,  (v1_relat_1(f2_s2_comput_1) &  (v4_relat_1(f2_s2_comput_1, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(f2_s2_comput_1) &  (v4_valued_0(f2_s2_comput_1) &  (v2_margrel1(f2_s2_comput_1) &  (v2_comput_1(f2_s2_comput_1) & v8_comput_1(f2_s2_comput_1, 2)) ) ) ) ) ) ).
fof(dt_f3_s2_comput_1, axiom,  (v1_relat_1(f3_s2_comput_1) &  (v4_relat_1(f3_s2_comput_1, k3_finseq_2(k4_ordinal1)) &  (v1_funct_1(f3_s2_comput_1) &  (v4_valued_0(f3_s2_comput_1) &  (v2_margrel1(f3_s2_comput_1) &  (v2_comput_1(f3_s2_comput_1) & v8_comput_1(f3_s2_comput_1, 2)) ) ) ) ) ) ).
fof(dt_f4_s2_comput_1, axiom,  (! [A, B] : m1_subset_1(f4_s2_comput_1(A, B), k4_ordinal1)) ).
fof(dt_f5_s2_comput_1, axiom,  (! [A, B] : m1_subset_1(f5_s2_comput_1(A, B), k4_ordinal1)) ).
fof(dt_f6_s2_comput_1, axiom,  (! [A, B] : m1_subset_1(f6_s2_comput_1(A, B), k4_ordinal1)) ).
fof(dt_k18_comput_1, axiom,  (v1_relat_1(k18_comput_1) &  (v1_funct_1(k18_comput_1) &  (v7_comput_1(k18_comput_1) & v8_comput_1(k18_comput_1, 2)) ) ) ).
fof(dt_k19_comput_1, axiom,  (v1_relat_1(k19_comput_1) &  (v1_funct_1(k19_comput_1) &  (v7_comput_1(k19_comput_1) & v8_comput_1(k19_comput_1, 1)) ) ) ).
fof(dt_k20_comput_1, axiom,  (v1_relat_1(k20_comput_1) &  (v1_funct_1(k20_comput_1) &  (v7_comput_1(k20_comput_1) & v8_comput_1(k20_comput_1, 2)) ) ) ).
fof(t12_comput_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v4_funct_1(A) & v1_comput_1(A)) )  => k9_xtuple_0(k3_tarski(A))=k3_tarski(a_1_0_comput_1(A))) ) ).
fof(t14_comput_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v4_funct_1(A) & v1_comput_1(A)) )  => k10_xtuple_0(k3_tarski(A))=k3_tarski(a_1_1_comput_1(A))) ) ).
fof(d5_comput_1, axiom,  (! [A] : k2_comput_1(A)=a_1_2_comput_1(A)) ).
fof(d15_comput_1, axiom, k9_comput_1=k1_setfam_1(a_0_0_comput_1)).
fof(d17_comput_1, axiom, k10_comput_1=k2_xboole_0(k2_tarski(k3_comput_1(k5_numbers, k5_numbers), k4_comput_1(1, 1)), a_0_1_comput_1)).
fof(d18_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_comput_1(k4_ordinal1))) => k11_comput_1(A)=k2_xboole_0(A, a_1_3_comput_1(A))) ) ).
fof(d19_comput_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_comput_1(k4_ordinal1))) => k12_comput_1(A)=k2_xboole_0(A, a_1_4_comput_1(A))) ) ).
fof(fraenkel_a_1_0_comput_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v4_funct_1(B) & v1_comput_1(B)) )  =>  (r2_hidden(A, a_1_0_comput_1(B)) <=>  (? [C] :  (m1_subset_1(C, B) & A=k9_xtuple_0(C)) ) ) ) ) ).
fof(fraenkel_a_1_1_comput_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v4_funct_1(B) & v1_comput_1(B)) )  =>  (r2_hidden(A, a_1_1_comput_1(B)) <=>  (? [C] :  (m1_subset_1(C, B) & A=k10_xtuple_0(C)) ) ) ) ) ).
fof(fraenkel_a_1_2_comput_1, axiom,  (! [A, B] :  (r2_hidden(A, a_1_2_comput_1(B)) <=>  (? [C] :  (m2_rfunct_3(C, k3_finseq_2(B), B, k3_rfunct_3(k3_finseq_2(B), B)) &  (A=C & v2_margrel1(C)) ) ) ) ) ).
fof(fraenkel_a_0_0_comput_1, axiom,  (! [A] :  (r2_hidden(A, a_0_0_comput_1) <=>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_comput_1(k4_ordinal1))) &  (A=B & v6_comput_1(B)) ) ) ) ) ).
fof(fraenkel_a_0_1_comput_1, axiom,  (! [A] :  (r2_hidden(A, a_0_1_comput_1) <=>  (? [B, C] :  ( (m1_subset_1(B, k4_ordinal1) & m1_subset_1(C, k4_ordinal1))  &  (A=k5_comput_1(B, C) &  (r1_xxreal_0(1, C) & r1_xxreal_0(C, B)) ) ) ) ) ) ).
fof(fraenkel_a_1_3_comput_1, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_comput_1(k4_ordinal1))) =>  (r2_hidden(A, a_1_3_comput_1(B)) <=>  (? [C] :  (m2_rfunct_3(C, k3_finseq_2(k4_ordinal1), k4_ordinal1, k2_comput_1(k4_ordinal1)) &  (A=C &  (? [D] :  (m2_rfunct_3(D, k3_finseq_2(k4_ordinal1), k4_ordinal1, k2_comput_1(k4_ordinal1)) &  (? [E] :  (m2_rfunct_3(E, k3_finseq_2(k4_ordinal1), k4_ordinal1, k2_comput_1(k4_ordinal1)) &  (? [F] :  (m1_subset_1(F, k4_ordinal1) &  (r2_tarski(D, B) &  (r2_tarski(E, B) & r1_comput_1(C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_4_comput_1, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_comput_1(k4_ordinal1))) =>  (r2_hidden(A, a_1_4_comput_1(B)) <=>  (? [C, D] :  ( (m2_rfunct_3(C, k3_finseq_2(k4_ordinal1), k4_ordinal1, k2_comput_1(k4_ordinal1)) &  (v3_comput_1(D) & m2_finseq_2(D, k2_comput_1(k4_ordinal1), k3_finseq_2(k2_comput_1(k4_ordinal1)))) )  &  (A=k3_relat_1(k5_funct_6(D), C) &  (r2_tarski(C, B) &  (k18_margrel1(C)=k3_finseq_1(D) & r1_tarski(k10_xtuple_0(D), B)) ) ) ) ) ) ) ) ).
fof(rc1_comseq_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k2_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_partfun1(A, k4_ordinal1) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  (v9_ordinal1(A) & v1_valued_0(A)) ) ) ) ) ) ) ) ) ) ).
fof(t1_comseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  <=>  (k9_xtuple_0(A)=k4_ordinal1 &  (! [B] :  (r2_tarski(B, k4_ordinal1) => m1_subset_1(k1_funct_1(A, B), k2_numbers)) ) ) ) ) ) ).
fof(t2_comseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  <=>  (k9_xtuple_0(A)=k4_ordinal1 &  (! [B] :  (m1_subset_1(B, k4_ordinal1) => m1_subset_1(k1_funct_1(A, B), k2_numbers)) ) ) ) ) ) ).
fof(t3_comseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v9_ordinal1(A) <=>  (! [B] :  ~ ( (r2_tarski(B, k4_ordinal1) & k1_funct_1(A, B)=k5_complex1) ) ) ) ) ) ).
fof(t4_comseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v9_ordinal1(A) <=>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ~ (k8_nat_1(k2_numbers, A, B)=k5_complex1) ) ) ) ) ) ).
fof(t5_comseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  (v9_ordinal1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  => r1_tarski(k2_relset_1(k2_numbers, A), k6_subset_1(k2_numbers, k1_tarski(k5_complex1)))) ) ).
fof(t6_comseq_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  & k2_relset_1(k2_numbers, B)=k1_tarski(A)) ) ) ) ).
fof(t7_comseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_relset_1(k4_ordinal1, k2_numbers, k2_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k2_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B), C), k2_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, k2_valued_1(k4_ordinal1, k2_numbers, k2_numbers, B, C)))) ) ) ) ) ) ).
fof(t8_comseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_relset_1(k4_ordinal1, k2_numbers, k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B), C), k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, B, C)))) ) ) ) ) ) ).
fof(t9_comseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_relset_1(k4_ordinal1, k2_numbers, k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k2_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B), C), k2_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, C), k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, B, C)))) ) ) ) ) ) ).
fof(t10_comseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_relset_1(k4_ordinal1, k2_numbers, k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, C, k2_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B)), k2_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, C, A), k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, C, B)))) ) ) ) ) ) ).
fof(t11_comseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_relset_1(k4_ordinal1, k2_numbers, k31_valued_1(k4_ordinal1, k2_numbers, A), k25_valued_1(k4_ordinal1, k2_numbers, A, k4_xcmplx_0(k6_complex1)))) ) ).
fof(t12_comseq_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_relset_1(k4_ordinal1, k2_numbers, k25_valued_1(k4_ordinal1, k2_numbers, k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, B, C), A), k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k25_valued_1(k4_ordinal1, k2_numbers, B, A), C))) ) ) ) ) ) ).
fof(t13_comseq_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_relset_1(k4_ordinal1, k2_numbers, k25_valued_1(k4_ordinal1, k2_numbers, k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, B, C), A), k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, B, k25_valued_1(k4_ordinal1, k2_numbers, C, A)))) ) ) ) ) ) ).
fof(t14_comseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_relset_1(k4_ordinal1, k2_numbers, k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B), C), k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, C), k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, B, C)))) ) ) ) ) ) ).
fof(t15_comseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_relset_1(k4_ordinal1, k2_numbers, k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, C, A), k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, C, B)), k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, C, k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B)))) ) ) ) ) ) ).
fof(t16_comseq_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_relset_1(k4_ordinal1, k2_numbers, k25_valued_1(k4_ordinal1, k2_numbers, k2_valued_1(k4_ordinal1, k2_numbers, k2_numbers, B, C), A), k2_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k25_valued_1(k4_ordinal1, k2_numbers, B, A), k25_valued_1(k4_ordinal1, k2_numbers, C, A)))) ) ) ) ) ) ).
fof(t17_comseq_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_relset_1(k4_ordinal1, k2_numbers, k25_valued_1(k4_ordinal1, k2_numbers, C, k3_xcmplx_0(A, B)), k25_valued_1(k4_ordinal1, k2_numbers, k25_valued_1(k4_ordinal1, k2_numbers, C, B), A))) ) ) ) ) ) ).
fof(t18_comseq_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_relset_1(k4_ordinal1, k2_numbers, k25_valued_1(k4_ordinal1, k2_numbers, k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, B, C), A), k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k25_valued_1(k4_ordinal1, k2_numbers, B, A), k25_valued_1(k4_ordinal1, k2_numbers, C, A)))) ) ) ) ) ) ).
fof(t19_comseq_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_relset_1(k4_ordinal1, k2_numbers, k25_valued_1(k4_ordinal1, k2_numbers, k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, C, B), A), k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k25_valued_1(k4_ordinal1, k2_numbers, C, A), B))) ) ) ) ) ) ).
fof(t20_comseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_relset_1(k4_ordinal1, k2_numbers, k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, k2_valued_1(k4_ordinal1, k2_numbers, k2_numbers, B, C)), k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B), C))) ) ) ) ) ) ).
fof(t21_comseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_relset_1(k4_ordinal1, k2_numbers, k25_valued_1(k4_ordinal1, k2_numbers, A, k6_complex1), A)) ) ).
fof(t22_comseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_relset_1(k4_ordinal1, k2_numbers, k31_valued_1(k4_ordinal1, k2_numbers, k31_valued_1(k4_ordinal1, k2_numbers, A)), A)) ) ).
fof(t23_comseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_relset_1(k4_ordinal1, k2_numbers, k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, k31_valued_1(k4_ordinal1, k2_numbers, B)), k2_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B))) ) ) ) ).
fof(t24_comseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_relset_1(k4_ordinal1, k2_numbers, k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, B, C)), k2_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B), C))) ) ) ) ) ) ).
fof(t25_comseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_relset_1(k4_ordinal1, k2_numbers, k2_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, B, C)), k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k2_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B), C))) ) ) ) ) ) ).
fof(t26_comseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (r2_relset_1(k4_ordinal1, k2_numbers, k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k31_valued_1(k4_ordinal1, k2_numbers, A), B), k31_valued_1(k4_ordinal1, k2_numbers, k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B))) & r2_relset_1(k4_ordinal1, k2_numbers, k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, k31_valued_1(k4_ordinal1, k2_numbers, B)), k31_valued_1(k4_ordinal1, k2_numbers, k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B)))) ) ) ) ) ).
fof(t27_comseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v9_ordinal1(A) => v9_ordinal1(k36_valued_1(k4_ordinal1, k2_numbers, A))) ) ) ).
fof(t29_comseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (v9_ordinal1(A) & v9_ordinal1(B))  <=> v9_ordinal1(k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B))) ) ) ) ) ).
fof(t30_comseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_relset_1(k4_ordinal1, k2_numbers, k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k36_valued_1(k4_ordinal1, k2_numbers, A), k36_valued_1(k4_ordinal1, k2_numbers, B)), k36_valued_1(k4_ordinal1, k2_numbers, k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B)))) ) ) ) ).
fof(t31_comseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v9_ordinal1(A) => r2_relset_1(k4_ordinal1, k2_numbers, k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, B, A), A), B)) ) ) ) ) ).
fof(t32_comseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k2_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_relset_1(k4_ordinal1, k2_numbers, k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, C, A), k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, D, B)), k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, C, D), k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B)))) ) ) ) ) ) ) ) ).
fof(t33_comseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (v9_ordinal1(A) & v9_ordinal1(B))  => v9_ordinal1(k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B))) ) ) ) ) ).
fof(t34_comseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_relset_1(k4_ordinal1, k2_numbers, k36_valued_1(k4_ordinal1, k2_numbers, k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B)), k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, B, A))) ) ) ) ).
fof(t35_comseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_relset_1(k4_ordinal1, k2_numbers, k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, C, k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, B, A)), k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, C, B), A))) ) ) ) ) ) ).
fof(t36_comseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_relset_1(k4_ordinal1, k2_numbers, k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, C, k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B)), k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, C, B), A))) ) ) ) ) ) ).
fof(t37_comseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v9_ordinal1(B) => r2_relset_1(k4_ordinal1, k2_numbers, k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, C, A), k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, C, B), k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B)))) ) ) ) ) ) ) ).
fof(t38_comseq_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v9_ordinal1(B) =>  (A=k5_complex1 | v9_ordinal1(k25_valued_1(k4_ordinal1, k2_numbers, B, A))) ) ) ) ) ) ).
fof(t39_comseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v9_ordinal1(A) => v9_ordinal1(k31_valued_1(k4_ordinal1, k2_numbers, A))) ) ) ).
fof(t40_comseq_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_relset_1(k4_ordinal1, k2_numbers, k36_valued_1(k4_ordinal1, k2_numbers, k25_valued_1(k4_ordinal1, k2_numbers, B, A)), k25_valued_1(k4_ordinal1, k2_numbers, k36_valued_1(k4_ordinal1, k2_numbers, B), k5_xcmplx_0(A)))) ) ) ) ).
fof(t41_comseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v9_ordinal1(A) => r2_relset_1(k4_ordinal1, k2_numbers, k36_valued_1(k4_ordinal1, k2_numbers, k31_valued_1(k4_ordinal1, k2_numbers, A)), k25_valued_1(k4_ordinal1, k2_numbers, k36_valued_1(k4_ordinal1, k2_numbers, A), k4_xcmplx_0(k6_complex1)))) ) ) ).
fof(t42_comseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v9_ordinal1(A) =>  (r2_relset_1(k4_ordinal1, k2_numbers, k31_valued_1(k4_ordinal1, k2_numbers, k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, B, A)), k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k31_valued_1(k4_ordinal1, k2_numbers, B), A)) & r2_relset_1(k4_ordinal1, k2_numbers, k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, B, k31_valued_1(k4_ordinal1, k2_numbers, A)), k31_valued_1(k4_ordinal1, k2_numbers, k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, B, A)))) ) ) ) ) ) ).
fof(t43_comseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (r2_relset_1(k4_ordinal1, k2_numbers, k2_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, B, A), k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, C, A)), k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k2_valued_1(k4_ordinal1, k2_numbers, k2_numbers, B, C), A)) & r2_relset_1(k4_ordinal1, k2_numbers, k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, B, A), k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, C, A)), k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, B, C), A))) ) ) ) ) ) ) ).
fof(t44_comseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k2_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (v9_ordinal1(A) & v9_ordinal1(C))  =>  (r2_relset_1(k4_ordinal1, k2_numbers, k2_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, B, A), k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, D, C)), k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k2_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, B, C), k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, D, A)), k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, C))) & r2_relset_1(k4_ordinal1, k2_numbers, k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, B, A), k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, D, C)), k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, B, C), k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, D, A)), k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t45_comseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k2_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_relset_1(k4_ordinal1, k2_numbers, k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, D, A), k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, C, B)), k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, D, B), k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, C)))) ) ) ) ) ) ) ) ).
fof(t46_comseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_relset_1(k4_ordinal1, k1_numbers, k55_valued_1(k4_ordinal1, k2_numbers, k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B)), k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k55_valued_1(k4_ordinal1, k2_numbers, A), k55_valued_1(k4_ordinal1, k2_numbers, B)))) ) ) ) ).
fof(t48_comseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_relset_1(k4_ordinal1, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, k55_valued_1(k4_ordinal1, k2_numbers, A)), k55_valued_1(k4_ordinal1, k2_numbers, k36_valued_1(k4_ordinal1, k2_numbers, A)))) ) ).
fof(t49_comseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_relset_1(k4_ordinal1, k1_numbers, k55_valued_1(k4_ordinal1, k2_numbers, k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, B, A)), k52_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k55_valued_1(k4_ordinal1, k2_numbers, B), k55_valued_1(k4_ordinal1, k2_numbers, A)))) ) ) ) ).
fof(t50_comseq_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_relset_1(k4_ordinal1, k1_numbers, k55_valued_1(k4_ordinal1, k2_numbers, k25_valued_1(k4_ordinal1, k2_numbers, B, A)), k26_valued_1(k4_ordinal1, k1_numbers, k55_valued_1(k4_ordinal1, k2_numbers, B), k9_complex1(A)))) ) ) ) ).
fof(s1_comseq_1, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  &  (! [B] :  (v7_ordinal1(B) => k8_nat_1(k2_numbers, A, B)=f1_s1_comseq_1(B)) ) ) ) ).
fof(dt_f1_s1_comseq_1, axiom,  (! [A] : v1_xcmplx_0(f1_s1_comseq_1(A))) ).
fof(fc1_comseq_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_valued_0(B)) ) ) ) )  =>  (v1_relat_1(k1_comseq_2(B)) &  (v4_relat_1(k1_comseq_2(B), A) &  (v1_funct_1(k1_comseq_2(B)) & v1_valued_0(k1_comseq_2(B))) ) ) ) ) ).
fof(fc2_comseq_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_valued_0(B)) ) ) ) )  =>  (v1_relat_1(k1_comseq_2(B)) &  (v4_relat_1(k1_comseq_2(B), A) &  (v1_funct_1(k1_comseq_2(B)) & v1_partfun1(k1_comseq_2(B), A)) ) ) ) ) ).
fof(rc1_comseq_2, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k2_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_partfun1(A, k4_ordinal1) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  (v1_valued_0(A) & v1_comseq_2(A)) ) ) ) ) ) ) ) ) ) ).
fof(rc2_comseq_2, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k2_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_partfun1(A, k4_ordinal1) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  (v1_valued_0(A) & v2_comseq_2(A)) ) ) ) ) ) ) ) ) ) ).
fof(fc3_comseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  (v2_comseq_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  =>  (v1_funct_1(k1_comseq_2(A)) &  (v1_funct_2(k1_comseq_2(A), k4_ordinal1, k2_numbers) & v2_comseq_2(k1_comseq_2(A))) ) ) ) ).
fof(fc4_comseq_2, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  (v2_comseq_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) &  (v2_comseq_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) ) )  =>  (v1_funct_1(k1_valued_1(A, B)) &  (v1_funct_2(k1_valued_1(A, B), k4_ordinal1, k2_numbers) & v2_comseq_2(k1_valued_1(A, B))) ) ) ) ).
fof(fc5_comseq_2, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  (v2_comseq_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  & v1_xcmplx_0(B))  =>  (v1_funct_1(k24_valued_1(A, B)) &  (v1_funct_2(k24_valued_1(A, B), k4_ordinal1, k2_numbers) & v2_comseq_2(k24_valued_1(A, B))) ) ) ) ).
fof(fc6_comseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  (v2_comseq_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  =>  (v1_funct_1(k30_valued_1(A)) &  (v1_funct_2(k30_valued_1(A), k4_ordinal1, k2_numbers) & v2_comseq_2(k30_valued_1(A))) ) ) ) ).
fof(fc7_comseq_2, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  (v2_comseq_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) &  (v2_comseq_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) ) )  =>  (v1_funct_1(k45_valued_1(A, B)) &  (v1_funct_2(k45_valued_1(A, B), k4_ordinal1, k2_numbers) & v2_comseq_2(k45_valued_1(A, B))) ) ) ) ).
fof(cc1_comseq_2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers))) =>  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & v2_comseq_2(A)) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & v1_comseq_2(A)) ) ) ) ) ).
fof(cc2_comseq_2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers))) =>  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  ~ (v1_comseq_2(A)) ) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  ~ (v2_comseq_2(A)) ) ) ) ) ) ).
fof(fc8_comseq_2, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  (v2_comseq_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) &  (v2_comseq_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) ) )  =>  (v1_funct_1(k18_valued_1(A, B)) &  (v1_funct_2(k18_valued_1(A, B), k4_ordinal1, k2_numbers) & v2_comseq_2(k18_valued_1(A, B))) ) ) ) ).
fof(t1_comseq_2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  ~ ( ( ~ (B=k5_complex1)  &  ( ~ (A=k5_complex1)  &  ~ (k9_complex1(k6_xcmplx_0(k5_xcmplx_0(B), k5_xcmplx_0(A)))=k7_xcmplx_0(k9_complex1(k6_xcmplx_0(B, A)), k3_xcmplx_0(k9_complex1(B), k9_complex1(A)))) ) ) ) ) ) ) ) ).
fof(t2_comseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) =>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(D, B) & r1_xxreal_0(C, k9_complex1(k8_nat_1(k2_numbers, A, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_comseq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  =>  (B=k1_comseq_2(A) <=>  (k9_xtuple_0(B)=k9_xtuple_0(A) &  (! [C] :  (r2_tarski(C, k9_xtuple_0(B)) => k1_funct_1(B, C)=k8_complex1(k1_funct_1(A, C))) ) ) ) ) ) ) ) ).
fof(d2_comseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (C=k2_comseq_2(A, B) <=>  (! [D] :  (m1_subset_1(D, A) => k3_funct_2(A, k2_numbers, C, D)=k8_complex1(k3_funct_2(A, k2_numbers, B, D))) ) ) ) ) ) ) ) ) ).
fof(t3_comseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v9_ordinal1(A) => v9_ordinal1(k2_comseq_2(k4_ordinal1, A))) ) ) ).
fof(t4_comseq_2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_funct_2(k4_ordinal1, k2_numbers, k2_comseq_2(k4_ordinal1, k25_valued_1(k4_ordinal1, k2_numbers, B, A)), k25_valued_1(k4_ordinal1, k2_numbers, k2_comseq_2(k4_ordinal1, B), k8_complex1(A)))) ) ) ) ).
fof(t5_comseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_funct_2(k4_ordinal1, k2_numbers, k2_comseq_2(k4_ordinal1, k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B)), k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k2_comseq_2(k4_ordinal1, A), k2_comseq_2(k4_ordinal1, B)))) ) ) ) ).
fof(t6_comseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_funct_2(k4_ordinal1, k2_numbers, k36_valued_1(k4_ordinal1, k2_numbers, k2_comseq_2(k4_ordinal1, A)), k2_comseq_2(k4_ordinal1, k36_valued_1(k4_ordinal1, k2_numbers, A)))) ) ).
fof(t7_comseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_funct_2(k4_ordinal1, k2_numbers, k2_comseq_2(k4_ordinal1, k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, B, A)), k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k2_comseq_2(k4_ordinal1, B), k2_comseq_2(k4_ordinal1, A)))) ) ) ) ).
fof(d3_comseq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (v1_comseq_2(A) <=>  (? [B] :  (v1_xreal_0(B) &  (! [C] :  ~ ( (r2_tarski(C, k9_xtuple_0(A)) & r1_xxreal_0(B, k9_complex1(k1_funct_1(A, C)))) ) ) ) ) ) ) ) ).
fof(d4_comseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v1_comseq_2(A) <=>  (? [B] :  (v1_xreal_0(B) &  (! [C] :  (v7_ordinal1(C) =>  ~ (r1_xxreal_0(B, k9_complex1(k8_nat_1(k2_numbers, A, C)))) ) ) ) ) ) ) ) ).
fof(t8_comseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v1_comseq_2(A) <=>  (? [B] :  (v1_xreal_0(B) &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  (! [C] :  (v7_ordinal1(C) =>  ~ (r1_xxreal_0(B, k9_complex1(k8_nat_1(k2_numbers, A, C)))) ) ) ) ) ) ) ) ) ).
fof(d5_comseq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) & v1_valued_0(A)) ) ) )  =>  (v2_comseq_2(A) <=>  (? [B] :  (v1_xcmplx_0(B) &  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  (r1_xxreal_0(D, E) & r1_xxreal_0(C, k9_complex1(k6_xcmplx_0(k1_funct_1(A, E), B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_comseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v2_comseq_2(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (B=k3_comseq_2(A) <=>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  (r1_xxreal_0(D, E) & r1_xxreal_0(C, k9_complex1(k6_xcmplx_0(k8_nat_1(k2_numbers, A, E), B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_comseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (? [B] :  (v1_xcmplx_0(B) &  (! [C] :  (v7_ordinal1(C) => k8_nat_1(k2_numbers, A, C)=B) ) ) )  => v2_comseq_2(A)) ) ) ).
fof(t10_comseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  (v1_xcmplx_0(B) =>  ( (! [C] :  (v7_ordinal1(C) => k8_nat_1(k2_numbers, A, C)=B) )  => k3_comseq_2(A)=B) ) ) ) ) ).
fof(t12_comseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v2_comseq_2(A) => k3_comseq_2(k2_comseq_2(k4_ordinal1, A))=k8_complex1(k3_comseq_2(A))) ) ) ).
fof(t14_comseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  (v2_comseq_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) &  (v2_comseq_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  => k3_comseq_2(k2_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B))=k2_xcmplx_0(k3_comseq_2(A), k3_comseq_2(B))) ) ) ) ).
fof(t16_comseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  (v2_comseq_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) &  (v2_comseq_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  => k3_comseq_2(k2_comseq_2(k4_ordinal1, k2_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B)))=k2_xcmplx_0(k8_complex1(k3_comseq_2(A)), k8_complex1(k3_comseq_2(B)))) ) ) ) ).
fof(t18_comseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  (v2_comseq_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  =>  (! [B] :  (v1_xcmplx_0(B) => k3_comseq_2(k25_valued_1(k4_ordinal1, k2_numbers, A, B))=k3_xcmplx_0(B, k3_comseq_2(A))) ) ) ) ).
fof(t20_comseq_2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) &  (v2_comseq_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  => k3_comseq_2(k2_comseq_2(k4_ordinal1, k25_valued_1(k4_ordinal1, k2_numbers, B, A)))=k3_xcmplx_0(k8_complex1(A), k8_complex1(k3_comseq_2(B)))) ) ) ) ).
fof(t22_comseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  (v2_comseq_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  => k3_comseq_2(k31_valued_1(k4_ordinal1, k2_numbers, A))=k4_xcmplx_0(k3_comseq_2(A))) ) ).
fof(t24_comseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  (v2_comseq_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  => k3_comseq_2(k2_comseq_2(k4_ordinal1, k31_valued_1(k4_ordinal1, k2_numbers, A)))=k4_xcmplx_0(k8_complex1(k3_comseq_2(A)))) ) ).
fof(t26_comseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  (v2_comseq_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) &  (v2_comseq_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  => k3_comseq_2(k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B))=k6_xcmplx_0(k3_comseq_2(A), k3_comseq_2(B))) ) ) ) ).
fof(t28_comseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  (v2_comseq_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) &  (v2_comseq_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  => k3_comseq_2(k2_comseq_2(k4_ordinal1, k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B)))=k6_xcmplx_0(k8_complex1(k3_comseq_2(A)), k8_complex1(k3_comseq_2(B)))) ) ) ) ).
fof(t30_comseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  (v2_comseq_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) &  (v2_comseq_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  => k3_comseq_2(k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B))=k3_xcmplx_0(k3_comseq_2(A), k3_comseq_2(B))) ) ) ) ).
fof(t32_comseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  (v2_comseq_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) &  (v2_comseq_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  => k3_comseq_2(k2_comseq_2(k4_ordinal1, k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B)))=k3_xcmplx_0(k8_complex1(k3_comseq_2(A)), k8_complex1(k3_comseq_2(B)))) ) ) ) ).
fof(t33_comseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  (v2_comseq_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  =>  ~ ( ( ~ (k3_comseq_2(A)=k5_complex1)  &  (! [B] :  (v7_ordinal1(B) =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(B, C) & r1_xxreal_0(k9_complex1(k8_nat_1(k2_numbers, A, C)), k7_xcmplx_0(k9_complex1(k3_comseq_2(A)), 2))) ) ) ) ) ) ) ) ) ).
fof(t34_comseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  (v2_comseq_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  =>  (v9_ordinal1(A) =>  (k3_comseq_2(A)=k5_complex1 | v2_comseq_2(k36_valued_1(k4_ordinal1, k2_numbers, A))) ) ) ) ).
fof(t35_comseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (v2_comseq_2(A) & v9_ordinal1(A))  =>  (k3_comseq_2(A)=k5_complex1 | k3_comseq_2(k36_valued_1(k4_ordinal1, k2_numbers, A))=k5_xcmplx_0(k3_comseq_2(A))) ) ) ) ).
fof(t37_comseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (v2_comseq_2(A) & v9_ordinal1(A))  =>  (k3_comseq_2(A)=k5_complex1 | k3_comseq_2(k2_comseq_2(k4_ordinal1, k36_valued_1(k4_ordinal1, k2_numbers, A)))=k5_xcmplx_0(k8_complex1(k3_comseq_2(A)))) ) ) ) ).
fof(t38_comseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (v2_comseq_2(B) &  (v2_comseq_2(A) & v9_ordinal1(A)) )  =>  (k3_comseq_2(A)=k5_complex1 | v2_comseq_2(k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, B, A))) ) ) ) ) ) ).
fof(t39_comseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (v2_comseq_2(B) &  (v2_comseq_2(A) & v9_ordinal1(A)) )  =>  (k3_comseq_2(A)=k5_complex1 | k3_comseq_2(k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, B, A))=k7_xcmplx_0(k3_comseq_2(B), k3_comseq_2(A))) ) ) ) ) ) ).
fof(t41_comseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (v2_comseq_2(B) &  (v2_comseq_2(A) & v9_ordinal1(A)) )  =>  (k3_comseq_2(A)=k5_complex1 | k3_comseq_2(k2_comseq_2(k4_ordinal1, k51_valued_1(k4_ordinal1, k2_numbers, k2_numbers, B, A)))=k7_xcmplx_0(k8_complex1(k3_comseq_2(B)), k8_complex1(k3_comseq_2(A)))) ) ) ) ) ) ).
fof(t42_comseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (v2_comseq_2(A) &  (v1_comseq_2(B) & k3_comseq_2(A)=k5_complex1) )  => v2_comseq_2(k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B))) ) ) ) ) ).
fof(t43_comseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (v2_comseq_2(A) &  (v1_comseq_2(B) & k3_comseq_2(A)=k5_complex1) )  => k3_comseq_2(k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B))=k5_complex1) ) ) ) ) ).
fof(t45_comseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (v2_comseq_2(A) &  (v1_comseq_2(B) & k3_comseq_2(A)=k5_complex1) )  => k3_comseq_2(k2_comseq_2(k4_ordinal1, k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B)))=k5_complex1) ) ) ) ) ).
fof(dt_k1_comseq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (v1_relat_1(k1_comseq_2(A)) &  (v1_funct_1(k1_comseq_2(A)) & v1_valued_0(k1_comseq_2(A))) ) ) ) ).
fof(involutiveness_k1_comseq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  => k1_comseq_2(k1_comseq_2(A))=A) ) ).
fof(dt_k2_comseq_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) ) )  =>  (v1_funct_1(k2_comseq_2(A, B)) &  (v1_funct_2(k2_comseq_2(A, B), A, k2_numbers) & m1_subset_1(k2_comseq_2(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) ) ) ) ).
fof(involutiveness_k2_comseq_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) ) )  => k2_comseq_2(A, k2_comseq_2(A, B))=B) ) ).
fof(redefinition_k2_comseq_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) ) )  => k2_comseq_2(A, B)=k1_comseq_2(B)) ) ).
fof(dt_k3_comseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => v1_xcmplx_0(k3_comseq_2(A))) ) ).
fof(cc1_comseq_3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers))) =>  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & v1_series_1(A)) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & v2_comseq_2(A)) ) ) ) ) ).
fof(cc2_comseq_3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers))) =>  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & v2_series_1(A)) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & v1_series_1(A)) ) ) ) ) ).
fof(rc1_comseq_3, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k1_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_partfun1(A, k4_ordinal1) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) & v2_series_1(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_comseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (v1_relat_1(k3_comseq_3(A)) &  (v1_funct_1(k3_comseq_3(A)) & v3_valued_0(k3_comseq_3(A))) ) ) ) ).
fof(fc2_comseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (v1_relat_1(k4_comseq_3(A)) &  (v1_funct_1(k4_comseq_3(A)) & v3_valued_0(k4_comseq_3(A))) ) ) ) ).
fof(fc3_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v1_funct_1(k2_series_1(k55_valued_1(k4_ordinal1, k2_numbers, A))) &  (v1_funct_2(k2_series_1(k55_valued_1(k4_ordinal1, k2_numbers, A)), k4_ordinal1, k1_numbers) & v7_valued_0(k2_series_1(k55_valued_1(k4_ordinal1, k2_numbers, A)))) ) ) ) ).
fof(fc4_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  (v2_comseq_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  =>  (v1_funct_1(k3_comseq_3(A)) &  (v1_funct_2(k3_comseq_3(A), k4_ordinal1, k1_numbers) & v2_comseq_2(k3_comseq_3(A))) ) ) ) ).
fof(fc5_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  (v2_comseq_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  =>  (v1_funct_1(k4_comseq_3(A)) &  (v1_funct_2(k4_comseq_3(A), k4_ordinal1, k1_numbers) & v2_comseq_2(k4_comseq_3(A))) ) ) ) ).
fof(rc2_comseq_3, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k2_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_partfun1(A, k4_ordinal1) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  (v1_valued_0(A) & v1_comseq_3(A)) ) ) ) ) ) ) ) ) ) ).
fof(fc6_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  (v1_comseq_3(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  =>  (v1_funct_1(k2_series_1(A)) &  (v1_funct_2(k2_series_1(A), k4_ordinal1, k2_numbers) & v2_comseq_2(k2_series_1(A))) ) ) ) ).
fof(rc3_comseq_3, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k2_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_partfun1(A, k4_ordinal1) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  (v1_valued_0(A) & v2_comseq_3(A)) ) ) ) ) ) ) ) ) ) ).
fof(fc7_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  (v2_comseq_3(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  =>  (v1_funct_1(k54_valued_1(A)) &  (v1_funct_2(k54_valued_1(A), k4_ordinal1, k1_numbers) & v1_series_1(k54_valued_1(A))) ) ) ) ).
fof(cc3_comseq_3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers))) =>  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & v1_comseq_3(A)) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & v2_comseq_2(A)) ) ) ) ) ).
fof(fc8_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  (v1_comseq_3(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  =>  (v1_funct_1(k3_comseq_3(A)) &  (v1_funct_2(k3_comseq_3(A), k4_ordinal1, k1_numbers) & v1_series_1(k3_comseq_3(A))) ) ) ) ).
fof(fc9_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  (v1_comseq_3(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  =>  (v1_funct_1(k4_comseq_3(A)) &  (v1_funct_2(k4_comseq_3(A), k4_ordinal1, k1_numbers) & v1_series_1(k4_comseq_3(A))) ) ) ) ).
fof(fc10_comseq_3, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  (v1_comseq_3(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) &  (v1_comseq_3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) ) )  =>  (v1_funct_1(k1_valued_1(A, B)) &  (v1_funct_2(k1_valued_1(A, B), k4_ordinal1, k2_numbers) & v1_comseq_3(k1_valued_1(A, B))) ) ) ) ).
fof(fc11_comseq_3, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  (v1_comseq_3(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) &  (v1_comseq_3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) ) )  =>  (v1_funct_1(k45_valued_1(A, B)) &  (v1_funct_2(k45_valued_1(A, B), k4_ordinal1, k2_numbers) & v1_comseq_3(k45_valued_1(A, B))) ) ) ) ).
fof(fc12_comseq_3, axiom,  (! [A, B] :  ( (m1_subset_1(A, k2_numbers) &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) &  (v1_comseq_3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) ) )  =>  (v1_funct_1(k24_valued_1(B, A)) &  (v1_funct_2(k24_valued_1(B, A), k4_ordinal1, k2_numbers) & v1_comseq_3(k24_valued_1(B, A))) ) ) ) ).
fof(fc13_comseq_3, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  (v1_comseq_3(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  & v7_ordinal1(B))  =>  (v1_funct_1(k6_nat_1(A, B)) &  (v1_funct_2(k6_nat_1(A, B), k4_ordinal1, k2_numbers) & v1_comseq_3(k6_nat_1(A, B))) ) ) ) ).
fof(fc14_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  (v2_comseq_3(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  =>  (v1_funct_1(k2_series_1(k55_valued_1(k4_ordinal1, k2_numbers, A))) &  (v1_funct_2(k2_series_1(k55_valued_1(k4_ordinal1, k2_numbers, A)), k4_ordinal1, k1_numbers) & v1_seq_2(k2_series_1(k55_valued_1(k4_ordinal1, k2_numbers, A)))) ) ) ) ).
fof(cc4_comseq_3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers))) =>  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & v2_comseq_3(A)) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & v1_comseq_3(A)) ) ) ) ) ).
fof(rc4_comseq_3, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k2_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_partfun1(A, k4_ordinal1) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  (v1_valued_0(A) & v2_comseq_3(A)) ) ) ) ) ) ) ) ) ) ).
fof(t1_comseq_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (k1_nat_1(A, 1)=k5_complex1)  &  ~ (k3_xcmplx_0(k1_nat_1(A, 1), k7_complex1)=k5_complex1) ) ) ) ).
fof(t2_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (! [B] :  (v7_ordinal1(B) => k8_nat_1(k1_numbers, A, B)=k5_numbers) )  =>  (! [B] :  (v7_ordinal1(B) => k8_nat_1(k1_numbers, k3_series_1(k56_valued_1(k4_ordinal1, k1_numbers, A)), B)=k5_numbers) ) ) ) ) ).
fof(t3_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (! [B] :  (v7_ordinal1(B) => k8_nat_1(k1_numbers, A, B)=k5_numbers) )  => v2_series_1(A)) ) ) ).
fof(t4_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v2_comseq_2(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  (! [C] :  (v7_ordinal1(C) =>  (? [D] :  (v7_ordinal1(D) &  (? [E] :  (v7_ordinal1(E) &  (r1_xxreal_0(C, D) &  (r1_xxreal_0(C, E) & r1_xxreal_0(B, k9_complex1(k5_real_1(k8_nat_1(k1_numbers, A, D), k8_nat_1(k1_numbers, A, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  (v1_xreal_0(B) =>  ( (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k8_nat_1(k1_numbers, A, C), B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k5_real_1(k8_nat_1(k1_numbers, k3_series_1(A), k2_xcmplx_0(C, D)), k8_nat_1(k1_numbers, k3_series_1(A), C)), k3_xcmplx_0(B, D))) ) ) ) ) ) ) ) ) ).
fof(t6_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  (v1_xreal_0(B) =>  ( (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k8_nat_1(k1_numbers, A, C), B)) )  =>  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k8_nat_1(k1_numbers, k3_series_1(A), C), k3_xcmplx_0(B, k1_nat_1(C, 1)))) ) ) ) ) ) ) ).
fof(t7_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(E, C) => r1_xxreal_0(k8_nat_1(k1_numbers, A, E), k3_xcmplx_0(D, k8_nat_1(k1_numbers, B, E)))) ) )  => r1_xxreal_0(k8_nat_1(k1_numbers, k3_series_1(A), C), k3_xcmplx_0(D, k8_nat_1(k1_numbers, k3_series_1(B), C)))) ) ) ) ) ) ) ) ) ).
fof(t8_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(E, C) => r1_xxreal_0(k8_nat_1(k1_numbers, A, E), k3_xcmplx_0(D, k8_nat_1(k1_numbers, B, E)))) ) )  =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (r1_xxreal_0(k2_xcmplx_0(E, F), C) => r1_xxreal_0(k5_real_1(k8_nat_1(k1_numbers, k3_series_1(A), k2_xcmplx_0(E, F)), k8_nat_1(k1_numbers, k3_series_1(A), E)), k3_xcmplx_0(D, k5_real_1(k8_nat_1(k1_numbers, k3_series_1(B), k2_xcmplx_0(E, F)), k8_nat_1(k1_numbers, k3_series_1(B), E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (! [B] :  (v7_ordinal1(B) => r1_xxreal_0(k5_numbers, k8_nat_1(k1_numbers, A, B))) )  =>  ( (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, C) => k9_complex1(k5_real_1(k8_nat_1(k1_numbers, k3_series_1(A), C), k8_nat_1(k1_numbers, k3_series_1(A), B)))=k5_real_1(k8_nat_1(k1_numbers, k3_series_1(A), C), k8_nat_1(k1_numbers, k3_series_1(A), B))) ) ) ) )  &  (! [B] :  (v7_ordinal1(B) => k9_complex1(k8_nat_1(k1_numbers, k3_series_1(A), B))=k8_nat_1(k1_numbers, k3_series_1(A), B)) ) ) ) ) ) ).
fof(t10_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (v2_comseq_2(A) &  (v2_comseq_2(B) & k3_comseq_2(k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B))=k5_complex1) )  => k3_comseq_2(A)=k3_comseq_2(B)) ) ) ) ) ).
fof(d1_comseq_3, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (B=k1_comseq_3(A) <=>  (k8_nat_1(k2_numbers, B, k5_numbers)=k6_complex1 &  (! [C] :  (v7_ordinal1(C) => k8_nat_1(k2_numbers, B, k1_nat_1(C, 1))=k3_xcmplx_0(k8_nat_1(k2_numbers, B, C), A)) ) ) ) ) ) ) ) ).
fof(d2_comseq_3, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v7_ordinal1(B) => k2_comseq_3(A, B)=k8_nat_1(k2_numbers, k1_comseq_3(A), B)) ) ) ) ).
fof(t11_comseq_3, axiom,  (! [A] :  (v1_xcmplx_0(A) => k2_comseq_3(A, k5_numbers)=k6_complex1) ) ).
fof(d3_comseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (B=k3_comseq_3(A) <=>  (k9_xtuple_0(B)=k9_xtuple_0(A) &  (! [C] :  (r2_hidden(C, k9_xtuple_0(B)) => k1_funct_1(B, C)=k3_complex1(k1_funct_1(A, C))) ) ) ) ) ) ) ) ).
fof(d4_comseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (B=k4_comseq_3(A) <=>  (k9_xtuple_0(B)=k9_xtuple_0(A) &  (! [C] :  (r2_hidden(C, k9_xtuple_0(B)) => k1_funct_1(B, C)=k4_complex1(k1_funct_1(A, C))) ) ) ) ) ) ) ) ).
fof(d5_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (B=k7_comseq_3(A) <=>  (! [C] :  (v7_ordinal1(C) => k8_nat_1(k1_numbers, B, C)=k3_complex1(k8_nat_1(k2_numbers, A, C))) ) ) ) ) ) ) ).
fof(d6_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (B=k8_comseq_3(A) <=>  (! [C] :  (v7_ordinal1(C) => k8_nat_1(k1_numbers, B, C)=k4_complex1(k8_nat_1(k2_numbers, A, C))) ) ) ) ) ) ) ).
fof(t12_comseq_3, axiom,  (! [A] :  (v1_xcmplx_0(A) => r1_xxreal_0(k9_complex1(A), k2_xcmplx_0(k9_complex1(k3_complex1(A)), k9_complex1(k4_complex1(A))))) ) ).
fof(t13_comseq_3, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (r1_xxreal_0(k9_complex1(k3_complex1(A)), k9_complex1(A)) & r1_xxreal_0(k9_complex1(k4_complex1(A)), k9_complex1(A))) ) ) ).
fof(t14_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (r2_funct_2(k4_ordinal1, k1_numbers, k7_comseq_3(A), k7_comseq_3(B)) & r2_funct_2(k4_ordinal1, k1_numbers, k8_comseq_3(A), k8_comseq_3(B)))  => r2_funct_2(k4_ordinal1, k2_numbers, A, B)) ) ) ) ) ).
fof(t15_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (r2_funct_2(k4_ordinal1, k1_numbers, k1_series_1(k1_numbers, k7_comseq_3(A), k7_comseq_3(B)), k7_comseq_3(k1_series_1(k2_numbers, A, B))) & r2_funct_2(k4_ordinal1, k1_numbers, k1_series_1(k1_numbers, k8_comseq_3(A), k8_comseq_3(B)), k8_comseq_3(k1_series_1(k2_numbers, A, B)))) ) ) ) ) ).
fof(t16_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (r2_funct_2(k4_ordinal1, k1_numbers, k32_valued_1(k4_ordinal1, k1_numbers, k7_comseq_3(A)), k7_comseq_3(k31_valued_1(k4_ordinal1, k2_numbers, A))) & r2_funct_2(k4_ordinal1, k1_numbers, k32_valued_1(k4_ordinal1, k1_numbers, k8_comseq_3(A)), k8_comseq_3(k31_valued_1(k4_ordinal1, k2_numbers, A)))) ) ) ).
fof(t17_comseq_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (k3_xcmplx_0(A, k3_complex1(B))=k3_complex1(k3_xcmplx_0(A, B)) & k3_xcmplx_0(A, k4_complex1(B))=k4_complex1(k3_xcmplx_0(A, B))) ) ) ) ) ).
fof(t18_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (r2_funct_2(k4_ordinal1, k1_numbers, k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k7_comseq_3(A), k7_comseq_3(B)), k7_comseq_3(k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B))) & r2_funct_2(k4_ordinal1, k1_numbers, k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_comseq_3(A), k8_comseq_3(B)), k8_comseq_3(k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B)))) ) ) ) ) ).
fof(t19_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  (v1_xreal_0(B) =>  (r2_funct_2(k4_ordinal1, k1_numbers, k26_valued_1(k4_ordinal1, k1_numbers, k7_comseq_3(A), B), k7_comseq_3(k25_valued_1(k4_ordinal1, k2_numbers, A, B))) & r2_funct_2(k4_ordinal1, k1_numbers, k26_valued_1(k4_ordinal1, k1_numbers, k8_comseq_3(A), B), k8_comseq_3(k25_valued_1(k4_ordinal1, k2_numbers, A, B)))) ) ) ) ) ).
fof(t20_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  (v1_xcmplx_0(B) =>  (r2_funct_2(k4_ordinal1, k1_numbers, k7_comseq_3(k25_valued_1(k4_ordinal1, k2_numbers, A, B)), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k26_valued_1(k4_ordinal1, k1_numbers, k7_comseq_3(A), k3_complex1(B)), k26_valued_1(k4_ordinal1, k1_numbers, k8_comseq_3(A), k4_complex1(B)))) & r2_funct_2(k4_ordinal1, k1_numbers, k8_comseq_3(k25_valued_1(k4_ordinal1, k2_numbers, A, B)), k1_series_1(k1_numbers, k26_valued_1(k4_ordinal1, k1_numbers, k8_comseq_3(A), k3_complex1(B)), k26_valued_1(k4_ordinal1, k1_numbers, k7_comseq_3(A), k4_complex1(B))))) ) ) ) ) ).
fof(t21_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (r2_funct_2(k4_ordinal1, k1_numbers, k7_comseq_3(k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B)), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k7_comseq_3(A), k7_comseq_3(B)), k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_comseq_3(A), k8_comseq_3(B)))) & r2_funct_2(k4_ordinal1, k1_numbers, k8_comseq_3(k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B)), k1_series_1(k1_numbers, k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k7_comseq_3(A), k8_comseq_3(B)), k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_comseq_3(A), k7_comseq_3(B))))) ) ) ) ) ).
fof(t22_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_ordinal1) &  (v5_valued_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) )  =>  (r2_funct_2(k4_ordinal1, k1_numbers, k7_comseq_3(k9_comseq_3(B, A)), k2_valued_0(k1_numbers, B, k7_comseq_3(A))) & r2_funct_2(k4_ordinal1, k1_numbers, k8_comseq_3(k9_comseq_3(B, A)), k2_valued_0(k1_numbers, B, k8_comseq_3(A)))) ) ) ) ) ).
fof(t23_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r2_funct_2(k4_ordinal1, k1_numbers, k1_valued_0(k1_numbers, k7_comseq_3(A), B), k7_comseq_3(k1_valued_0(k2_numbers, A, B))) & r2_funct_2(k4_ordinal1, k1_numbers, k1_valued_0(k1_numbers, k8_comseq_3(A), B), k8_comseq_3(k1_valued_0(k2_numbers, A, B)))) ) ) ) ) ).
fof(d7_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => k11_comseq_3(A)=k3_comseq_2(k10_comseq_3(A))) ) ).
fof(t24_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (! [B] :  (v7_ordinal1(B) => k8_nat_1(k2_numbers, A, B)=k5_complex1) )  =>  (! [B] :  (v7_ordinal1(B) => k8_nat_1(k2_numbers, k10_comseq_3(A), B)=k5_complex1) ) ) ) ) ).
fof(t25_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (! [B] :  (v7_ordinal1(B) => k8_nat_1(k2_numbers, A, B)=k5_complex1) )  =>  (! [B] :  (v7_ordinal1(B) => k8_nat_1(k1_numbers, k3_series_1(k55_valued_1(k4_ordinal1, k2_numbers, A)), B)=k5_numbers) ) ) ) ) ).
fof(t26_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (r2_funct_2(k4_ordinal1, k1_numbers, k3_series_1(k7_comseq_3(A)), k7_comseq_3(k10_comseq_3(A))) & r2_funct_2(k4_ordinal1, k1_numbers, k3_series_1(k8_comseq_3(A)), k8_comseq_3(k10_comseq_3(A)))) ) ) ).
fof(t27_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_funct_2(k4_ordinal1, k2_numbers, k1_series_1(k2_numbers, k10_comseq_3(A), k10_comseq_3(B)), k10_comseq_3(k1_series_1(k2_numbers, A, B)))) ) ) ) ).
fof(t28_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_funct_2(k4_ordinal1, k2_numbers, k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k10_comseq_3(A), k10_comseq_3(B)), k10_comseq_3(k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B)))) ) ) ) ).
fof(t29_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  (v1_xcmplx_0(B) => r2_funct_2(k4_ordinal1, k2_numbers, k10_comseq_3(k25_valued_1(k4_ordinal1, k2_numbers, A, B)), k25_valued_1(k4_ordinal1, k2_numbers, k10_comseq_3(A), B))) ) ) ) ).
fof(t30_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) => r1_xxreal_0(k9_complex1(k8_nat_1(k2_numbers, k10_comseq_3(A), B)), k8_nat_1(k1_numbers, k3_series_1(k55_valued_1(k4_ordinal1, k2_numbers, A)), B))) ) ) ) ).
fof(t31_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k8_nat_1(k2_numbers, k10_comseq_3(A), C), k8_nat_1(k2_numbers, k10_comseq_3(A), B))), k9_complex1(k5_real_1(k8_nat_1(k1_numbers, k3_series_1(k55_valued_1(k4_ordinal1, k2_numbers, A)), C), k8_nat_1(k1_numbers, k3_series_1(k55_valued_1(k4_ordinal1, k2_numbers, A)), B))))) ) ) ) ) ) ).
fof(t32_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r2_funct_2(k4_ordinal1, k1_numbers, k1_valued_0(k1_numbers, k3_series_1(k7_comseq_3(A)), B), k7_comseq_3(k1_valued_0(k2_numbers, k10_comseq_3(A), B))) & r2_funct_2(k4_ordinal1, k1_numbers, k1_valued_0(k1_numbers, k3_series_1(k8_comseq_3(A)), B), k8_comseq_3(k1_valued_0(k2_numbers, k10_comseq_3(A), B)))) ) ) ) ) ).
fof(t33_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (! [C] :  (v7_ordinal1(C) => k8_nat_1(k2_numbers, B, C)=k8_nat_1(k2_numbers, A, k5_numbers)) )  => r2_funct_2(k4_ordinal1, k2_numbers, k10_comseq_3(k1_valued_0(k2_numbers, A, 1)), k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k1_valued_0(k2_numbers, k10_comseq_3(A), 1), B))) ) ) ) ) ).
fof(t34_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => v7_valued_0(k3_series_1(k55_valued_1(k4_ordinal1, k2_numbers, A)))) ) ).
fof(t35_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(D, C) => k8_nat_1(k2_numbers, A, D)=k8_nat_1(k2_numbers, B, D)) ) )  => k8_nat_1(k2_numbers, k10_comseq_3(A), C)=k8_nat_1(k2_numbers, k10_comseq_3(B), C)) ) ) ) ) ) ) ).
fof(t36_comseq_3, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  ( ~ (k6_complex1=A)  =>  (! [B] :  (v7_ordinal1(B) => k8_nat_1(k2_numbers, k10_comseq_3(k1_comseq_3(A)), B)=k7_xcmplx_0(k6_xcmplx_0(k6_complex1, k2_comseq_3(A, k1_nat_1(B, 1))), k6_xcmplx_0(k6_complex1, A))) ) ) ) ) ).
fof(t37_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  (v1_xcmplx_0(B) =>  ( (! [C] :  (v7_ordinal1(C) => k8_nat_1(k2_numbers, A, k1_nat_1(C, 1))=k3_xcmplx_0(B, k8_nat_1(k2_numbers, A, C))) )  =>  (B=k6_complex1 |  (! [C] :  (v7_ordinal1(C) => k8_nat_1(k2_numbers, k10_comseq_3(A), C)=k3_xcmplx_0(k8_nat_1(k2_numbers, A, k5_numbers), k7_xcmplx_0(k6_xcmplx_0(k6_complex1, k2_comseq_3(B, k1_nat_1(C, 1))), k6_xcmplx_0(k6_complex1, B)))) ) ) ) ) ) ) ) ).
fof(t38_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (! [D] :  (v7_ordinal1(D) =>  (k3_complex1(k8_nat_1(k2_numbers, C, D))=k8_nat_1(k1_numbers, A, D) & k4_complex1(k8_nat_1(k2_numbers, C, D))=k8_nat_1(k1_numbers, B, D)) ) )  =>  ( (v2_comseq_2(A) & v2_comseq_2(B))  <=> v2_comseq_2(C)) ) ) ) ) ) ) ) ).
fof(t39_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_comseq_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_comseq_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (! [D] :  (v7_ordinal1(D) =>  (k3_complex1(k8_nat_1(k2_numbers, C, D))=k8_nat_1(k1_numbers, A, D) & k4_complex1(k8_nat_1(k2_numbers, C, D))=k8_nat_1(k1_numbers, B, D)) ) )  =>  (v2_comseq_2(C) & k3_comseq_2(C)=k2_xcmplx_0(k1_seq_2(A), k3_xcmplx_0(k1_seq_2(B), k7_complex1))) ) ) ) ) ) ) ) ).
fof(t40_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) &  (v2_comseq_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  =>  ( (! [D] :  (v7_ordinal1(D) =>  (k3_complex1(k8_nat_1(k2_numbers, C, D))=k8_nat_1(k1_numbers, A, D) & k4_complex1(k8_nat_1(k2_numbers, C, D))=k8_nat_1(k1_numbers, B, D)) ) )  =>  (v2_comseq_2(A) &  (v2_comseq_2(B) &  (k1_seq_2(A)=k3_complex1(k3_comseq_2(C)) & k1_seq_2(B)=k4_complex1(k3_comseq_2(C))) ) ) ) ) ) ) ) ) ) ).
fof(t41_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  (v2_comseq_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  =>  (v2_comseq_2(k7_comseq_3(A)) &  (v2_comseq_2(k8_comseq_3(A)) &  (k1_seq_2(k7_comseq_3(A))=k3_complex1(k3_comseq_2(A)) & k1_seq_2(k8_comseq_3(A))=k4_complex1(k3_comseq_2(A))) ) ) ) ) ).
fof(t42_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (v2_comseq_2(k7_comseq_3(A)) & v2_comseq_2(k8_comseq_3(A)))  =>  (v2_comseq_2(A) &  (k3_complex1(k3_comseq_2(A))=k1_seq_2(k7_comseq_3(A)) & k4_complex1(k3_comseq_2(A))=k1_seq_2(k8_comseq_3(A))) ) ) ) ) ).
fof(t43_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  (v1_xcmplx_0(B) =>  ( (k8_nat_1(k2_numbers, A, k5_numbers)=B &  (! [C] :  (v7_ordinal1(C) => k8_nat_1(k2_numbers, A, k1_nat_1(C, 1))=k3_xcmplx_0(k8_nat_1(k2_numbers, A, C), B)) ) )  =>  (r1_xxreal_0(k9_complex1(B), k5_numbers) |  (r1_xxreal_0(1, k9_complex1(B)) |  (v2_comseq_2(A) & k3_comseq_2(A)=k5_complex1) ) ) ) ) ) ) ) ).
fof(t44_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  (v1_xcmplx_0(B) =>  ( (! [C] :  (v7_ordinal1(C) => k8_nat_1(k2_numbers, A, C)=k2_comseq_3(B, k1_nat_1(C, 1))) )  =>  (r1_xxreal_0(1, k9_complex1(B)) |  (v2_comseq_2(A) & k3_comseq_2(A)=k5_complex1) ) ) ) ) ) ) ).
fof(t45_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  ( (? [C] :  (v7_ordinal1(C) &  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(C, D) => r1_xxreal_0(B, k9_complex1(k8_nat_1(k2_numbers, A, D)))) ) ) ) )  &  (v2_comseq_2(k55_valued_1(k4_ordinal1, k2_numbers, A)) & k1_seq_2(k55_valued_1(k4_ordinal1, k2_numbers, A))=k5_numbers) ) ) ) ) ) ) ) ).
fof(t46_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v2_comseq_2(A) <=>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  (! [C] :  (v7_ordinal1(C) =>  (? [D] :  (v7_ordinal1(D) &  (r1_xxreal_0(C, D) & r1_xxreal_0(B, k9_complex1(k6_xcmplx_0(k8_nat_1(k2_numbers, A, D), k8_nat_1(k2_numbers, A, C))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v2_comseq_2(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  (! [C] :  (v7_ordinal1(C) =>  (? [D] :  (v7_ordinal1(D) &  (? [E] :  (v7_ordinal1(E) &  (r1_xxreal_0(C, D) &  (r1_xxreal_0(C, E) & r1_xxreal_0(B, k9_complex1(k6_xcmplx_0(k8_nat_1(k2_numbers, A, D), k8_nat_1(k2_numbers, A, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( ( (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k9_complex1(k8_nat_1(k2_numbers, B, C)), k8_nat_1(k1_numbers, A, C))) )  &  (v2_comseq_2(A) & k1_seq_2(A)=k5_numbers) )  =>  (v2_comseq_2(B) & k3_comseq_2(B)=k5_complex1) ) ) ) ) ) ).
fof(t49_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (m2_valued_0(A, k2_numbers, B) =>  (m2_valued_0(k7_comseq_3(A), k1_numbers, k7_comseq_3(B)) & m2_valued_0(k8_comseq_3(A), k1_numbers, k8_comseq_3(B))) ) ) ) ) ) ).
fof(t50_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ~ ( (v1_comseq_2(A) &  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ~ ( (m2_valued_0(B, k2_numbers, A) & v2_comseq_2(B)) ) ) ) ) ) ) ) ).
fof(d8_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v1_comseq_3(A) <=> v2_comseq_2(k10_comseq_3(A))) ) ) ).
fof(d9_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v2_comseq_3(A) <=> v1_series_1(k55_valued_1(k4_ordinal1, k2_numbers, A))) ) ) ).
fof(t51_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (! [B] :  (v7_ordinal1(B) => k8_nat_1(k2_numbers, A, B)=k5_complex1) )  => v2_comseq_3(A)) ) ) ).
fof(t52_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v1_comseq_3(A) =>  (v2_comseq_2(A) & k3_comseq_2(A)=k5_complex1) ) ) ) ).
fof(t53_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v1_comseq_3(A) =>  (v1_series_1(k7_comseq_3(A)) &  (v1_series_1(k8_comseq_3(A)) & k11_comseq_3(A)=k2_xcmplx_0(k4_series_1(k7_comseq_3(A)), k3_xcmplx_0(k4_series_1(k8_comseq_3(A)), k7_complex1))) ) ) ) ) ).
fof(t54_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (v1_comseq_3(A) & v1_comseq_3(B))  =>  (v1_comseq_3(k1_series_1(k2_numbers, A, B)) & k11_comseq_3(k1_series_1(k2_numbers, A, B))=k2_xcmplx_0(k11_comseq_3(A), k11_comseq_3(B))) ) ) ) ) ) ).
fof(t55_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (v1_comseq_3(A) & v1_comseq_3(B))  =>  (v1_comseq_3(k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B)) & k11_comseq_3(k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B))=k6_xcmplx_0(k11_comseq_3(A), k11_comseq_3(B))) ) ) ) ) ) ).
fof(t56_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v1_comseq_3(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (v1_comseq_3(k25_valued_1(k4_ordinal1, k2_numbers, A, B)) & k11_comseq_3(k25_valued_1(k4_ordinal1, k2_numbers, A, B))=k3_xcmplx_0(B, k11_comseq_3(A))) ) ) ) ) ) ).
fof(t57_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (v1_series_1(k7_comseq_3(A)) & v1_series_1(k8_comseq_3(A)))  =>  (v1_comseq_3(A) & k11_comseq_3(A)=k2_xcmplx_0(k4_series_1(k7_comseq_3(A)), k3_xcmplx_0(k4_series_1(k8_comseq_3(A)), k7_complex1))) ) ) ) ).
fof(t58_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v1_comseq_3(A) =>  (! [B] :  (v7_ordinal1(B) => v1_comseq_3(k1_valued_0(k2_numbers, A, B))) ) ) ) ) ).
fof(t59_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (? [B] :  (v7_ordinal1(B) & v1_comseq_3(k1_valued_0(k2_numbers, A, B))) )  => v1_comseq_3(A)) ) ) ).
fof(t60_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v1_comseq_3(A) =>  (! [B] :  (v7_ordinal1(B) => k11_comseq_3(A)=k2_xcmplx_0(k8_nat_1(k2_numbers, k10_comseq_3(A), B), k11_comseq_3(k1_valued_0(k2_numbers, A, k1_nat_1(B, 1))))) ) ) ) ) ).
fof(t61_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v1_seq_2(k3_series_1(k55_valued_1(k4_ordinal1, k2_numbers, A))) <=> v2_comseq_3(A)) ) ) ).
fof(t62_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v1_comseq_3(A) <=>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  (! [C] :  (v7_ordinal1(C) =>  (? [D] :  (v7_ordinal1(D) &  (r1_xxreal_0(C, D) & r1_xxreal_0(B, k9_complex1(k6_xcmplx_0(k8_nat_1(k2_numbers, k10_comseq_3(A), D), k8_nat_1(k2_numbers, k10_comseq_3(A), C))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v2_comseq_3(A) => v1_comseq_3(A)) ) ) ).
fof(t64_comseq_3, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  ( ~ (r1_xxreal_0(1, k9_complex1(A)))  =>  (v1_comseq_3(k1_comseq_3(A)) & k11_comseq_3(k1_comseq_3(A))=k7_xcmplx_0(k6_complex1, k6_xcmplx_0(k6_complex1, A))) ) ) ) ).
fof(t65_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  (v1_xcmplx_0(B) =>  ( (! [C] :  (v7_ordinal1(C) => k8_nat_1(k2_numbers, A, k1_nat_1(C, 1))=k3_xcmplx_0(B, k8_nat_1(k2_numbers, A, C))) )  =>  (r1_xxreal_0(1, k9_complex1(B)) |  (v1_comseq_3(A) & k11_comseq_3(A)=k7_xcmplx_0(k8_nat_1(k2_numbers, A, k5_numbers), k6_xcmplx_0(k6_complex1, B))) ) ) ) ) ) ) ).
fof(t66_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v1_series_1(A) =>  ( (! [C] :  (v7_ordinal1(C) =>  (? [D] :  (v7_ordinal1(D) &  (r1_xxreal_0(C, D) &  ~ (r1_xxreal_0(k9_complex1(k8_nat_1(k2_numbers, B, D)), k8_nat_1(k1_numbers, A, D))) ) ) ) ) )  | v2_comseq_3(B)) ) ) ) ) ) ).
fof(t67_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( ( (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(k5_numbers, k8_nat_1(k1_numbers, k55_valued_1(k4_ordinal1, k2_numbers, A), C)) & r1_xxreal_0(k8_nat_1(k1_numbers, k55_valued_1(k4_ordinal1, k2_numbers, A), C), k8_nat_1(k1_numbers, k55_valued_1(k4_ordinal1, k2_numbers, B), C))) ) )  & v2_comseq_3(B))  =>  (v2_comseq_3(A) & r1_xxreal_0(k4_series_1(k55_valued_1(k4_ordinal1, k2_numbers, A)), k4_series_1(k55_valued_1(k4_ordinal1, k2_numbers, B)))) ) ) ) ) ) ).
fof(t68_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ~ ( ( (! [B] :  (v7_ordinal1(B) =>  ~ (r1_xxreal_0(k8_nat_1(k1_numbers, k55_valued_1(k4_ordinal1, k2_numbers, A), B), k5_numbers)) ) )  &  ( (? [B] :  (v7_ordinal1(B) &  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, C) => r1_xxreal_0(1, k6_real_1(k8_nat_1(k1_numbers, k55_valued_1(k4_ordinal1, k2_numbers, A), k1_nat_1(C, 1)), k8_nat_1(k1_numbers, k55_valued_1(k4_ordinal1, k2_numbers, A), C)))) ) ) ) )  & v2_comseq_3(A)) ) ) ) ) ).
fof(t69_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( ( (! [C] :  (v7_ordinal1(C) => k8_nat_1(k1_numbers, A, C)=k1_power(C, k8_nat_1(k1_numbers, k55_valued_1(k4_ordinal1, k2_numbers, B), C))) )  & v2_comseq_2(A))  =>  (r1_xxreal_0(1, k1_seq_2(A)) | v2_comseq_3(B)) ) ) ) ) ) ).
fof(t70_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ~ ( ( (! [C] :  (v7_ordinal1(C) => k8_nat_1(k1_numbers, A, C)=k1_power(C, k8_nat_1(k1_numbers, k55_valued_1(k4_ordinal1, k2_numbers, B), C))) )  &  ( (? [C] :  (v7_ordinal1(C) &  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(C, D) => r1_xxreal_0(1, k8_nat_1(k1_numbers, A, D))) ) ) ) )  & v1_series_1(k55_valued_1(k4_ordinal1, k2_numbers, B))) ) ) ) ) ) ) ).
fof(t71_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ~ ( ( (! [C] :  (v7_ordinal1(C) => k8_nat_1(k1_numbers, A, C)=k1_power(C, k8_nat_1(k1_numbers, k55_valued_1(k4_ordinal1, k2_numbers, B), C))) )  &  (v2_comseq_2(A) &  ( ~ (r1_xxreal_0(k1_seq_2(A), 1))  & v2_comseq_3(B)) ) ) ) ) ) ) ) ).
fof(t72_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (v8_valued_0(k55_valued_1(k4_ordinal1, k2_numbers, B)) &  (! [C] :  (v7_ordinal1(C) => k8_nat_1(k1_numbers, A, C)=k3_xcmplx_0(k2_power(2, C), k8_nat_1(k1_numbers, k55_valued_1(k4_ordinal1, k2_numbers, B), k2_power(2, C)))) ) )  =>  (v2_comseq_3(B) <=> v1_series_1(A)) ) ) ) ) ) ).
fof(t73_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  (v1_xreal_0(B) =>  ( (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(1, C) => k8_nat_1(k1_numbers, k55_valued_1(k4_ordinal1, k2_numbers, A), C)=k7_xcmplx_0(1, k2_power(C, B))) ) )  =>  (r1_xxreal_0(B, 1) | v2_comseq_3(A)) ) ) ) ) ) ).
fof(t74_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(B, 1) &  ( (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(1, C) => k8_nat_1(k1_numbers, k55_valued_1(k4_ordinal1, k2_numbers, A), C)=k7_xcmplx_0(1, k2_power(C, B))) ) )  & v2_comseq_3(A)) ) ) ) ) ) ) ).
fof(t75_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( ( (! [C] :  (v7_ordinal1(C) =>  ( ~ (k8_nat_1(k2_numbers, B, C)=k5_complex1)  & k8_nat_1(k1_numbers, A, C)=k6_real_1(k8_nat_1(k1_numbers, k55_valued_1(k4_ordinal1, k2_numbers, B), k1_nat_1(C, 1)), k8_nat_1(k1_numbers, k55_valued_1(k4_ordinal1, k2_numbers, B), C))) ) )  & v2_comseq_2(A))  =>  (r1_xxreal_0(1, k1_seq_2(A)) | v2_comseq_3(B)) ) ) ) ) ) ).
fof(t76_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ~ ( ( (! [B] :  (v7_ordinal1(B) =>  ~ (k8_nat_1(k2_numbers, A, B)=k5_complex1) ) )  &  ( (? [B] :  (v7_ordinal1(B) &  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, C) => r1_xxreal_0(1, k6_real_1(k8_nat_1(k1_numbers, k55_valued_1(k4_ordinal1, k2_numbers, A), k1_nat_1(C, 1)), k8_nat_1(k1_numbers, k55_valued_1(k4_ordinal1, k2_numbers, A), C)))) ) ) ) )  & v2_comseq_3(A)) ) ) ) ) ).
fof(dt_k1_comseq_3, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (v1_funct_1(k1_comseq_3(A)) &  (v1_funct_2(k1_comseq_3(A), k4_ordinal1, k2_numbers) & m1_subset_1(k1_comseq_3(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) ) ) ).
fof(dt_k2_comseq_3, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v7_ordinal1(B))  => m1_subset_1(k2_comseq_3(A, B), k2_numbers)) ) ).
fof(redefinition_k2_comseq_3, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v7_ordinal1(B))  => k2_comseq_3(A, B)=k1_newton(A, B)) ) ).
fof(dt_k3_comseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (v1_relat_1(k3_comseq_3(A)) & v1_funct_1(k3_comseq_3(A))) ) ) ).
fof(dt_k4_comseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (v1_relat_1(k4_comseq_3(A)) & v1_funct_1(k4_comseq_3(A))) ) ) ).
fof(dt_k5_comseq_3, axiom,  (! [A, B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (v1_funct_1(k5_comseq_3(A, B)) & m1_subset_1(k5_comseq_3(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ).
fof(redefinition_k5_comseq_3, axiom,  (! [A, B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  => k5_comseq_3(A, B)=k3_comseq_3(B)) ) ).
fof(dt_k6_comseq_3, axiom,  (! [A, B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (v1_funct_1(k6_comseq_3(A, B)) & m1_subset_1(k6_comseq_3(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ).
fof(redefinition_k6_comseq_3, axiom,  (! [A, B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  => k6_comseq_3(A, B)=k4_comseq_3(B)) ) ).
fof(dt_k7_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v1_funct_1(k7_comseq_3(A)) &  (v1_funct_2(k7_comseq_3(A), k4_ordinal1, k1_numbers) & m1_subset_1(k7_comseq_3(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(redefinition_k7_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => k7_comseq_3(A)=k3_comseq_3(A)) ) ).
fof(dt_k8_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v1_funct_1(k8_comseq_3(A)) &  (v1_funct_2(k8_comseq_3(A), k4_ordinal1, k1_numbers) & m1_subset_1(k8_comseq_3(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(redefinition_k8_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => k8_comseq_3(A)=k4_comseq_3(A)) ) ).
fof(dt_k9_comseq_3, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) &  (v5_valued_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  =>  (v1_funct_1(k9_comseq_3(A, B)) &  (v1_funct_2(k9_comseq_3(A, B), k4_ordinal1, k2_numbers) & m1_subset_1(k9_comseq_3(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) ) ) ).
fof(redefinition_k9_comseq_3, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) &  (v5_valued_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) )  => k9_comseq_3(A, B)=k3_relat_1(A, B)) ) ).
fof(dt_k10_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v1_funct_1(k10_comseq_3(A)) &  (v1_funct_2(k10_comseq_3(A), k4_ordinal1, k2_numbers) & m1_subset_1(k10_comseq_3(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) ) ) ).
fof(redefinition_k10_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => k10_comseq_3(A)=k2_series_1(A)) ) ).
fof(dt_k11_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => m1_subset_1(k11_comseq_3(A), k2_numbers)) ) ).
fof(d1_conaffm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v1_conaffm(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ( (r5_analmetr(A, B, C, D) &  (r5_analmetr(A, B, E, F) &  (r5_analmetr(A, B, G, H) &  (r2_analoaf(A, C, E, D, F) & r2_analoaf(A, C, G, D, H)) ) ) )  =>  (B=C |  (B=D |  (B=E |  (B=F |  (B=G |  (B=H |  (r5_analmetr(A, E, F, C) |  (r5_analmetr(A, C, D, G) | r2_analoaf(A, E, G, F, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_conaffm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v2_conaffm(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ( (r4_analmetr(A, B, C, B, D) &  (r4_analmetr(A, B, E, B, F) &  (r4_analmetr(A, B, G, B, H) &  (r4_analmetr(A, C, E, D, F) &  (r2_analoaf(A, B, C, E, G) & r4_analmetr(A, C, G, D, H)) ) ) ) )  =>  (r2_analoaf(A, B, G, B, C) |  (r2_analoaf(A, B, C, B, E) | r4_analmetr(A, E, G, F, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_conaffm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v3_conaffm(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (r5_analmetr(A, B, C, D))  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r4_analmetr(A, E, B, C, D) &  (r4_analmetr(A, E, C, B, D) & r4_analmetr(A, E, D, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_conaffm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v4_conaffm(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ( (r4_analmetr(A, B, C, B, D) &  (r4_analmetr(A, B, E, B, F) &  (r4_analmetr(A, B, G, B, H) &  (r4_analmetr(A, C, E, D, F) & r4_analmetr(A, C, G, D, H)) ) ) )  =>  (r2_analoaf(A, B, G, B, C) |  (r2_analoaf(A, B, C, B, E) | r4_analmetr(A, E, G, F, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_conaffm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v5_conaffm(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ( (r4_analmetr(A, B, G, B, H) &  (r4_analmetr(A, B, C, B, D) &  (r4_analmetr(A, B, E, B, F) &  (r5_analmetr(A, B, C, E) &  (r5_analmetr(A, B, D, F) &  (r4_analmetr(A, C, G, D, H) & r4_analmetr(A, E, G, F, H)) ) ) ) ) )  =>  (B=C |  (B=D |  (B=E |  (B=F |  (B=G |  (B=H |  (C=E |  (r5_analmetr(A, B, G, C) | r2_analoaf(A, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_conaffm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v6_conaffm(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ( (r4_analmetr(A, B, G, B, H) &  (r4_analmetr(A, B, C, B, D) &  (r4_analmetr(A, B, E, B, F) &  (r5_analmetr(A, B, C, E) &  (r5_analmetr(A, B, D, F) &  (r4_analmetr(A, C, G, D, H) & r2_analoaf(A, C, D, E, F)) ) ) ) ) )  =>  (B=C |  (B=D |  (B=E |  (B=F |  (B=G |  (B=H |  (C=E |  (r5_analmetr(A, B, G, C) | r4_analmetr(A, E, G, F, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_conaffm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v7_conaffm(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ( (r2_analoaf(A, C, D, E, F) &  (r4_analmetr(A, B, C, B, D) &  (r4_analmetr(A, B, E, B, F) &  (r5_analmetr(A, B, C, E) &  (r5_analmetr(A, B, D, F) &  (r4_analmetr(A, C, G, D, H) & r4_analmetr(A, E, G, F, H)) ) ) ) ) )  =>  (B=C |  (B=D |  (B=E |  (B=F |  (B=G |  (B=H |  (C=E |  (r5_analmetr(A, B, G, C) | r4_analmetr(A, B, G, B, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_conaffm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v4_conaffm(A) => v1_conaffm(A)) ) ) ).
fof(t2_conaffm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v4_conaffm(A) => v2_conaffm(A)) ) ) ).
fof(t3_conaffm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v5_conaffm(A) => v6_conaffm(A)) ) ) ).
fof(t4_conaffm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v6_conaffm(A) => v7_conaffm(A)) ) ) ).
fof(t5_conaffm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v5_conaffm(A) => v4_conaffm(A)) ) ) ).
fof(t6_conaffm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v5_conaffm(A) => v3_conaffm(A)) ) ) ).
fof(rc1_conlat_1, axiom,  (? [A] :  (l5_struct_0(A) &  ( ~ (v2_struct_0(A))  &  (v10_struct_0(A) &  ~ (v11_struct_0(A)) ) ) ) ) ).
fof(rc2_conlat_1, axiom,  (? [A] :  (l1_conlat_1(A) & v1_conlat_1(A)) ) ).
fof(rc3_conlat_1, axiom,  (? [A] :  (l1_conlat_1(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & v1_conlat_1(A)) ) ) ) ).
fof(fc1_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l5_struct_0(A)) )  =>  ~ (v1_xboole_0(u4_struct_0(A))) ) ) ).
fof(fc2_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l5_struct_0(A)) )  =>  ~ (v1_xboole_0(u1_struct_0(A))) ) ) ).
fof(rc4_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l5_struct_0(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(rc5_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l5_struct_0(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u4_struct_0(A))) &  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(rc6_conlat_1, axiom,  (! [A] :  (l5_struct_0(A) =>  (? [B] :  (l2_conlat_1(B, A) & v3_conlat_1(B, A)) ) ) ) ).
fof(rc7_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l5_struct_0(A)) )  =>  (? [B] :  (l2_conlat_1(B, A) &  (v3_conlat_1(B, A) &  ~ (v4_conlat_1(B, A)) ) ) ) ) ) ).
fof(rc8_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l5_struct_0(A)) )  =>  (? [B] :  (l2_conlat_1(B, A) &  (v3_conlat_1(B, A) & v5_conlat_1(B, A)) ) ) ) ) ).
fof(cc1_conlat_1, axiom,  (! [A] :  ( (v2_struct_0(A) &  (v11_struct_0(A) & l5_struct_0(A)) )  =>  (! [B] :  (l2_conlat_1(B, A) => v4_conlat_1(B, A)) ) ) ) ).
fof(rc9_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (? [B] :  (l2_conlat_1(B, A) &  ( ~ (v4_conlat_1(B, A))  & v6_conlat_1(B, A)) ) ) ) ) ).
fof(rc10_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (? [B] :  (l2_conlat_1(B, A) &  (v3_conlat_1(B, A) &  ( ~ (v4_conlat_1(B, A))  & v6_conlat_1(B, A)) ) ) ) ) ) ).
fof(rc11_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (? [B] :  (l2_conlat_1(B, A) &  (v3_conlat_1(B, A) &  ( ~ (v4_conlat_1(B, A))  &  (v6_conlat_1(B, A) & v7_conlat_1(B, A)) ) ) ) ) ) ) ).
fof(rc12_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (? [B] :  (l2_conlat_1(B, A) &  (v3_conlat_1(B, A) &  ( ~ (v4_conlat_1(B, A))  &  (v6_conlat_1(B, A) & v8_conlat_1(B, A)) ) ) ) ) ) ) ).
fof(fc3_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  ~ (v1_xboole_0(k7_conlat_1(A))) ) ) ).
fof(fc4_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  ( ~ (v2_struct_0(k11_conlat_1(A)))  &  (v3_lattices(k11_conlat_1(A)) & v10_lattices(k11_conlat_1(A))) ) ) ) ).
fof(fc5_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  ( ~ (v2_struct_0(k11_conlat_1(A)))  &  (v3_lattices(k11_conlat_1(A)) & v4_lattice3(k11_conlat_1(A))) ) ) ) ).
fof(d2_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (r1_conlat_1(A, B, C) <=> r2_hidden(k4_tarski(B, C), u1_conlat_1(A))) ) ) ) ) ) ) ).
fof(t3_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(B, C) => r1_tarski(k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u4_struct_0(A)), k1_conlat_1(A), C), k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u4_struct_0(A)), k1_conlat_1(A), B))) ) ) ) ) ) ) ).
fof(t4_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u4_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u4_struct_0(A))) =>  (r1_tarski(B, C) => r1_tarski(k3_funct_2(k1_zfmisc_1(u4_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k2_conlat_1(A), C), k3_funct_2(k1_zfmisc_1(u4_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k2_conlat_1(A), B))) ) ) ) ) ) ) ).
fof(t5_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(B, k3_funct_2(k9_setfam_1(u4_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k2_conlat_1(A), k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u4_struct_0(A)), k1_conlat_1(A), B)))) ) ) ) ).
fof(t6_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u4_struct_0(A))) => r1_tarski(B, k3_funct_2(k9_setfam_1(u1_struct_0(A)), k9_setfam_1(u4_struct_0(A)), k1_conlat_1(A), k3_funct_2(k1_zfmisc_1(u4_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k2_conlat_1(A), B)))) ) ) ) ).
fof(t7_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u4_struct_0(A)), k1_conlat_1(A), B)=k3_funct_2(k9_setfam_1(u1_struct_0(A)), k9_setfam_1(u4_struct_0(A)), k1_conlat_1(A), k3_funct_2(k9_setfam_1(u4_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k2_conlat_1(A), k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u4_struct_0(A)), k1_conlat_1(A), B)))) ) ) ) ).
fof(t8_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u4_struct_0(A))) => k3_funct_2(k1_zfmisc_1(u4_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k2_conlat_1(A), B)=k3_funct_2(k9_setfam_1(u4_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k2_conlat_1(A), k3_funct_2(k9_setfam_1(u1_struct_0(A)), k9_setfam_1(u4_struct_0(A)), k1_conlat_1(A), k3_funct_2(k1_zfmisc_1(u4_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k2_conlat_1(A), B)))) ) ) ) ).
fof(t9_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u4_struct_0(A))) =>  (r1_tarski(B, k3_funct_2(k1_zfmisc_1(u4_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k2_conlat_1(A), C)) <=> r1_relset_1(u1_struct_0(A), u4_struct_0(A), k8_mcart_1(u1_struct_0(A), u4_struct_0(A), B, C), u1_conlat_1(A))) ) ) ) ) ) ) ).
fof(t10_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u4_struct_0(A))) =>  (r1_tarski(C, k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u4_struct_0(A)), k1_conlat_1(A), B)) <=> r1_relset_1(u1_struct_0(A), u4_struct_0(A), k8_mcart_1(u1_struct_0(A), u4_struct_0(A), B, C), u1_conlat_1(A))) ) ) ) ) ) ) ).
fof(t11_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u4_struct_0(A))) =>  (r1_tarski(B, k3_funct_2(k1_zfmisc_1(u4_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k2_conlat_1(A), C)) <=> r1_tarski(C, k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u4_struct_0(A)), k1_conlat_1(A), B))) ) ) ) ) ) ) ).
fof(d5_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  => k3_conlat_1(A)=k1_conlat_1(A)) ) ).
fof(d6_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  => k4_conlat_1(A)=k2_conlat_1(A)) ) ).
fof(d7_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  =>  (! [C] :  (m1_waybel_1(C, A, B) =>  (v2_conlat_1(C, A, B) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  &  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  &  (C=k1_waybel_1(A, B, D, E) &  (v5_waybel_0(D, A, B) &  (v5_waybel_0(E, B, A) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(B)) =>  (r1_orders_2(A, F, k3_funct_2(u1_struct_0(B), u1_struct_0(A), E, k3_funct_2(u1_struct_0(A), u1_struct_0(B), D, F))) & r1_orders_2(B, H, k3_funct_2(u1_struct_0(A), u1_struct_0(B), D, k3_funct_2(u1_struct_0(B), u1_struct_0(A), E, H)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) & l1_orders_2(B)) ) ) )  =>  (! [C] :  (m1_waybel_1(C, A, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (C=k1_waybel_1(A, B, D, E) =>  (v2_conlat_1(C, A, B) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (r3_orders_2(A, F, k3_funct_2(u1_struct_0(B), u1_struct_0(A), E, G)) <=> r3_orders_2(B, G, k3_funct_2(u1_struct_0(A), u1_struct_0(B), D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) & l1_orders_2(B)) ) ) )  =>  (! [C] :  (m1_waybel_1(C, A, B) =>  (v2_conlat_1(C, A, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (C=k1_waybel_1(A, B, D, E) =>  (r2_funct_2(u1_struct_0(A), u1_struct_0(B), D, k1_partfun1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(A), D, E), D)) & r2_funct_2(u1_struct_0(B), u1_struct_0(A), E, k1_partfun1(u1_struct_0(B), u1_struct_0(B), u1_struct_0(B), u1_struct_0(A), k1_partfun1(u1_struct_0(B), u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), E, D), E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  => v2_conlat_1(k1_waybel_1(k2_yellow_1(u1_struct_0(A)), k2_yellow_1(u4_struct_0(A)), k3_conlat_1(A), k4_conlat_1(A)), k2_yellow_1(u1_struct_0(A)), k2_yellow_1(u4_struct_0(A)))) ) ).
fof(t15_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u4_struct_0(A)), k1_conlat_1(A), k4_subset_1(u1_struct_0(A), B, C))=k9_subset_1(u4_struct_0(A), k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u4_struct_0(A)), k1_conlat_1(A), B), k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u4_struct_0(A)), k1_conlat_1(A), C))) ) ) ) ) ) ).
fof(t16_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u4_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u4_struct_0(A))) => k3_funct_2(k1_zfmisc_1(u4_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k2_conlat_1(A), k4_subset_1(u4_struct_0(A), B, C))=k9_subset_1(u1_struct_0(A), k3_funct_2(k1_zfmisc_1(u4_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k2_conlat_1(A), B), k3_funct_2(k1_zfmisc_1(u4_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k2_conlat_1(A), C))) ) ) ) ) ) ).
fof(t17_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  => k1_funct_1(k1_conlat_1(A), k1_xboole_0)=u4_struct_0(A)) ) ).
fof(t18_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  => k1_funct_1(k2_conlat_1(A), k1_xboole_0)=u1_struct_0(A)) ) ).
fof(d8_conlat_1, axiom,  (! [A] :  (l5_struct_0(A) =>  (! [B] :  (l2_conlat_1(B, A) =>  (v4_conlat_1(B, A) <=>  (v1_xboole_0(u2_conlat_1(A, B)) & v1_xboole_0(u3_conlat_1(A, B))) ) ) ) ) ) ).
fof(d9_conlat_1, axiom,  (! [A] :  (l5_struct_0(A) =>  (! [B] :  (l2_conlat_1(B, A) =>  (v5_conlat_1(B, A) <=>  (v1_xboole_0(u2_conlat_1(A, B)) | v1_xboole_0(u3_conlat_1(A, B))) ) ) ) ) ) ).
fof(d10_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  (l2_conlat_1(B, A) =>  (v6_conlat_1(B, A) <=>  (k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u4_struct_0(A)), k1_conlat_1(A), u2_conlat_1(A, B))=u3_conlat_1(A, B) & k3_funct_2(k1_zfmisc_1(u4_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k2_conlat_1(A), u3_conlat_1(A, B))=u2_conlat_1(A, B)) ) ) ) ) ) ).
fof(t19_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ( ~ (v4_conlat_1(g2_conlat_1(A, k3_funct_2(k9_setfam_1(u4_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k2_conlat_1(A), k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u4_struct_0(A)), k1_conlat_1(A), B)), k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u4_struct_0(A)), k1_conlat_1(A), B)), A))  &  (v6_conlat_1(g2_conlat_1(A, k3_funct_2(k9_setfam_1(u4_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k2_conlat_1(A), k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u4_struct_0(A)), k1_conlat_1(A), B)), k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u4_struct_0(A)), k1_conlat_1(A), B)), A) & l2_conlat_1(g2_conlat_1(A, k3_funct_2(k9_setfam_1(u4_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k2_conlat_1(A), k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u4_struct_0(A)), k1_conlat_1(A), B)), k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u4_struct_0(A)), k1_conlat_1(A), B)), A)) )  &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u4_struct_0(A))) =>  ( ( ( ~ (v4_conlat_1(g2_conlat_1(A, C, D), A))  &  (v6_conlat_1(g2_conlat_1(A, C, D), A) & l2_conlat_1(g2_conlat_1(A, C, D), A)) )  & r1_tarski(B, C))  => r1_tarski(k3_funct_2(k9_setfam_1(u4_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k2_conlat_1(A), k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u4_struct_0(A)), k1_conlat_1(A), B)), C)) ) ) ) ) ) ) ) ) ) ).
fof(t20_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u4_struct_0(A))) &  ( ~ (v4_conlat_1(g2_conlat_1(A, B, C), A))  &  (v6_conlat_1(g2_conlat_1(A, B, C), A) & l2_conlat_1(g2_conlat_1(A, B, C), A)) ) ) )  <=> k3_funct_2(k9_setfam_1(u4_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k2_conlat_1(A), k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u4_struct_0(A)), k1_conlat_1(A), B))=B) ) ) ) ) ).
fof(t21_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u4_struct_0(A))) =>  ( ( ~ (v4_conlat_1(g2_conlat_1(A, k3_funct_2(k1_zfmisc_1(u4_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k2_conlat_1(A), B), k3_funct_2(k9_setfam_1(u1_struct_0(A)), k9_setfam_1(u4_struct_0(A)), k1_conlat_1(A), k3_funct_2(k1_zfmisc_1(u4_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k2_conlat_1(A), B))), A))  &  (v6_conlat_1(g2_conlat_1(A, k3_funct_2(k1_zfmisc_1(u4_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k2_conlat_1(A), B), k3_funct_2(k9_setfam_1(u1_struct_0(A)), k9_setfam_1(u4_struct_0(A)), k1_conlat_1(A), k3_funct_2(k1_zfmisc_1(u4_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k2_conlat_1(A), B))), A) & l2_conlat_1(g2_conlat_1(A, k3_funct_2(k1_zfmisc_1(u4_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k2_conlat_1(A), B), k3_funct_2(k9_setfam_1(u1_struct_0(A)), k9_setfam_1(u4_struct_0(A)), k1_conlat_1(A), k3_funct_2(k1_zfmisc_1(u4_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k2_conlat_1(A), B))), A)) )  &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u4_struct_0(A))) =>  ( ( ( ~ (v4_conlat_1(g2_conlat_1(A, C, D), A))  &  (v6_conlat_1(g2_conlat_1(A, C, D), A) & l2_conlat_1(g2_conlat_1(A, C, D), A)) )  & r1_tarski(B, D))  => r1_tarski(k3_funct_2(k9_setfam_1(u1_struct_0(A)), k9_setfam_1(u4_struct_0(A)), k1_conlat_1(A), k3_funct_2(k1_zfmisc_1(u4_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k2_conlat_1(A), B)), D)) ) ) ) ) ) ) ) ) ) ).
fof(t22_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u4_struct_0(A))) =>  ( (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v4_conlat_1(g2_conlat_1(A, C, B), A))  &  (v6_conlat_1(g2_conlat_1(A, C, B), A) & l2_conlat_1(g2_conlat_1(A, C, B), A)) ) ) )  <=> k3_funct_2(k9_setfam_1(u1_struct_0(A)), k9_setfam_1(u4_struct_0(A)), k1_conlat_1(A), k3_funct_2(k1_zfmisc_1(u4_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k2_conlat_1(A), B))=B) ) ) ) ) ).
fof(d11_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  (l2_conlat_1(B, A) =>  (v7_conlat_1(B, A) <=> u2_conlat_1(A, B)=u1_struct_0(A)) ) ) ) ) ).
fof(d12_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  (l2_conlat_1(B, A) =>  (v8_conlat_1(B, A) <=> u3_conlat_1(A, B)=u4_struct_0(A)) ) ) ) ) ).
fof(d13_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  ( (v3_conlat_1(B, A) &  ( ~ (v4_conlat_1(B, A))  &  (v6_conlat_1(B, A) &  (v7_conlat_1(B, A) & l2_conlat_1(B, A)) ) ) )  =>  (B=k5_conlat_1(A) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) &  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u4_struct_0(A))) &  (B=g2_conlat_1(A, C, D) &  (C=k1_funct_1(k2_conlat_1(A), k1_xboole_0) & D=k1_funct_1(k1_conlat_1(A), k1_funct_1(k2_conlat_1(A), k1_xboole_0))) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  ( (v3_conlat_1(B, A) &  ( ~ (v4_conlat_1(B, A))  &  (v6_conlat_1(B, A) &  (v8_conlat_1(B, A) & l2_conlat_1(B, A)) ) ) )  =>  (B=k6_conlat_1(A) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) &  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u4_struct_0(A))) &  (B=g2_conlat_1(A, C, D) &  (C=k1_funct_1(k2_conlat_1(A), k1_funct_1(k1_conlat_1(A), k1_xboole_0)) & D=k1_funct_1(k1_conlat_1(A), k1_xboole_0)) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (u2_conlat_1(A, k5_conlat_1(A))=u1_struct_0(A) & u3_conlat_1(A, k6_conlat_1(A))=u4_struct_0(A)) ) ) ).
fof(t24_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  ( ( ~ (v4_conlat_1(B, A))  &  (v6_conlat_1(B, A) & l2_conlat_1(B, A)) )  =>  ( (u2_conlat_1(A, B)=k1_xboole_0 => v8_conlat_1(B, A))  &  (u3_conlat_1(A, B)=k1_xboole_0 => v7_conlat_1(B, A)) ) ) ) ) ) ).
fof(t25_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  ( (v3_conlat_1(B, A) &  ( ~ (v4_conlat_1(B, A))  &  (v6_conlat_1(B, A) & l2_conlat_1(B, A)) ) )  =>  ( (u2_conlat_1(A, B)=k1_xboole_0 => B=k6_conlat_1(A))  &  (u3_conlat_1(A, B)=k1_xboole_0 => B=k5_conlat_1(A)) ) ) ) ) ) ).
fof(t26_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  ( (v5_conlat_1(B, A) & l2_conlat_1(B, A))  =>  ~ ( ( ( ~ (v4_conlat_1(B, A))  &  (v6_conlat_1(B, A) & l2_conlat_1(B, A)) )  &  ( ~ (v7_conlat_1(B, A))  &  ~ (v8_conlat_1(B, A)) ) ) ) ) ) ) ) ).
fof(t27_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  ( (v5_conlat_1(B, A) & l2_conlat_1(B, A))  =>  ~ ( ( (v3_conlat_1(B, A) &  ( ~ (v4_conlat_1(B, A))  &  (v6_conlat_1(B, A) & l2_conlat_1(B, A)) ) )  &  ( ~ (B=k5_conlat_1(A))  &  ~ (B=k6_conlat_1(A)) ) ) ) ) ) ) ) ).
fof(d15_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (m1_conlat_1(B, A) <=>  (! [C] :  (r2_tarski(C, B) =>  ( ~ (v4_conlat_1(C, A))  &  (v6_conlat_1(C, A) & l2_conlat_1(C, A)) ) ) ) ) ) ) ) ) ).
fof(d16_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  ( ( ~ (v4_conlat_1(B, A))  &  (v6_conlat_1(B, A) & l2_conlat_1(B, A)) )  =>  (! [C] :  ( ( ~ (v4_conlat_1(C, A))  &  (v6_conlat_1(C, A) & l2_conlat_1(C, A)) )  =>  (r2_conlat_1(A, B, C) <=> r1_tarski(u2_conlat_1(A, B), u2_conlat_1(A, C))) ) ) ) ) ) ) ).
fof(t28_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  ( ( ~ (v4_conlat_1(B, A))  &  (v6_conlat_1(B, A) & l2_conlat_1(B, A)) )  =>  (! [C] :  ( ( ~ (v4_conlat_1(C, A))  &  (v6_conlat_1(C, A) & l2_conlat_1(C, A)) )  =>  (r2_conlat_1(A, B, C) <=> r1_tarski(u3_conlat_1(A, C), u3_conlat_1(A, B))) ) ) ) ) ) ) ).
fof(t29_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  ( ( ~ (v4_conlat_1(B, A))  &  (v6_conlat_1(B, A) & l2_conlat_1(B, A)) )  =>  (! [C] :  ( ( ~ (v4_conlat_1(C, A))  &  (v6_conlat_1(C, A) & l2_conlat_1(C, A)) )  =>  (r2_conlat_1(A, C, B) <=> r1_tarski(u3_conlat_1(A, B), u3_conlat_1(A, C))) ) ) ) ) ) ) ).
fof(t30_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  ( ( ~ (v4_conlat_1(B, A))  &  (v6_conlat_1(B, A) & l2_conlat_1(B, A)) )  =>  (r2_conlat_1(A, B, k5_conlat_1(A)) & r2_conlat_1(A, k6_conlat_1(A), B)) ) ) ) ) ).
fof(t31_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  (r2_hidden(B, k8_conlat_1(A)) <=>  (v3_conlat_1(B, A) &  ( ~ (v4_conlat_1(B, A))  &  (v6_conlat_1(B, A) & l2_conlat_1(B, A)) ) ) ) ) ) ) ).
fof(d18_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k8_conlat_1(A), k8_conlat_1(A)), k8_conlat_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_conlat_1(A), k8_conlat_1(A)), k8_conlat_1(A))))) )  =>  (B=k9_conlat_1(A) <=>  (! [C] :  ( (v3_conlat_1(C, A) &  ( ~ (v4_conlat_1(C, A))  &  (v6_conlat_1(C, A) & l2_conlat_1(C, A)) ) )  =>  (! [D] :  ( (v3_conlat_1(D, A) &  ( ~ (v4_conlat_1(D, A))  &  (v6_conlat_1(D, A) & l2_conlat_1(D, A)) ) )  =>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) &  (? [F] :  (m1_subset_1(F, k1_zfmisc_1(u4_struct_0(A))) &  (k1_binop_1(B, C, D)=g2_conlat_1(A, E, F) &  (E=k9_subset_1(u1_struct_0(A), u2_conlat_1(A, C), u2_conlat_1(A, D)) & F=k3_funct_2(k9_setfam_1(u1_struct_0(A)), k9_setfam_1(u4_struct_0(A)), k1_conlat_1(A), k3_funct_2(k1_zfmisc_1(u4_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k2_conlat_1(A), k4_subset_1(u4_struct_0(A), u3_conlat_1(A, C), u3_conlat_1(A, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k8_conlat_1(A), k8_conlat_1(A)), k8_conlat_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_conlat_1(A), k8_conlat_1(A)), k8_conlat_1(A))))) )  =>  (B=k10_conlat_1(A) <=>  (! [C] :  ( (v3_conlat_1(C, A) &  ( ~ (v4_conlat_1(C, A))  &  (v6_conlat_1(C, A) & l2_conlat_1(C, A)) ) )  =>  (! [D] :  ( (v3_conlat_1(D, A) &  ( ~ (v4_conlat_1(D, A))  &  (v6_conlat_1(D, A) & l2_conlat_1(D, A)) ) )  =>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) &  (? [F] :  (m1_subset_1(F, k1_zfmisc_1(u4_struct_0(A))) &  (k1_binop_1(B, C, D)=g2_conlat_1(A, E, F) &  (E=k3_funct_2(k9_setfam_1(u4_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k2_conlat_1(A), k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u4_struct_0(A)), k1_conlat_1(A), k4_subset_1(u1_struct_0(A), u2_conlat_1(A, C), u2_conlat_1(A, D)))) & F=k9_subset_1(u4_struct_0(A), u3_conlat_1(A, C), u3_conlat_1(A, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  ( (v3_conlat_1(B, A) &  ( ~ (v4_conlat_1(B, A))  &  (v6_conlat_1(B, A) & l2_conlat_1(B, A)) ) )  =>  (! [C] :  ( (v3_conlat_1(C, A) &  ( ~ (v4_conlat_1(C, A))  &  (v6_conlat_1(C, A) & l2_conlat_1(C, A)) ) )  => k1_binop_1(k9_conlat_1(A), B, C)=k1_binop_1(k9_conlat_1(A), C, B)) ) ) ) ) ) ).
fof(t33_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  ( (v3_conlat_1(B, A) &  ( ~ (v4_conlat_1(B, A))  &  (v6_conlat_1(B, A) & l2_conlat_1(B, A)) ) )  =>  (! [C] :  ( (v3_conlat_1(C, A) &  ( ~ (v4_conlat_1(C, A))  &  (v6_conlat_1(C, A) & l2_conlat_1(C, A)) ) )  => k1_binop_1(k10_conlat_1(A), B, C)=k1_binop_1(k10_conlat_1(A), C, B)) ) ) ) ) ) ).
fof(t34_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  ( (v3_conlat_1(B, A) &  ( ~ (v4_conlat_1(B, A))  &  (v6_conlat_1(B, A) & l2_conlat_1(B, A)) ) )  =>  (! [C] :  ( (v3_conlat_1(C, A) &  ( ~ (v4_conlat_1(C, A))  &  (v6_conlat_1(C, A) & l2_conlat_1(C, A)) ) )  =>  (! [D] :  ( (v3_conlat_1(D, A) &  ( ~ (v4_conlat_1(D, A))  &  (v6_conlat_1(D, A) & l2_conlat_1(D, A)) ) )  => k1_binop_1(k9_conlat_1(A), B, k1_binop_1(k9_conlat_1(A), C, D))=k1_binop_1(k9_conlat_1(A), k1_binop_1(k9_conlat_1(A), B, C), D)) ) ) ) ) ) ) ) ).
fof(t35_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  ( (v3_conlat_1(B, A) &  ( ~ (v4_conlat_1(B, A))  &  (v6_conlat_1(B, A) & l2_conlat_1(B, A)) ) )  =>  (! [C] :  ( (v3_conlat_1(C, A) &  ( ~ (v4_conlat_1(C, A))  &  (v6_conlat_1(C, A) & l2_conlat_1(C, A)) ) )  =>  (! [D] :  ( (v3_conlat_1(D, A) &  ( ~ (v4_conlat_1(D, A))  &  (v6_conlat_1(D, A) & l2_conlat_1(D, A)) ) )  => k1_binop_1(k10_conlat_1(A), B, k1_binop_1(k10_conlat_1(A), C, D))=k1_binop_1(k10_conlat_1(A), k1_binop_1(k10_conlat_1(A), B, C), D)) ) ) ) ) ) ) ) ).
fof(t36_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  ( (v3_conlat_1(B, A) &  ( ~ (v4_conlat_1(B, A))  &  (v6_conlat_1(B, A) & l2_conlat_1(B, A)) ) )  =>  (! [C] :  ( (v3_conlat_1(C, A) &  ( ~ (v4_conlat_1(C, A))  &  (v6_conlat_1(C, A) & l2_conlat_1(C, A)) ) )  => k1_binop_1(k10_conlat_1(A), k1_binop_1(k9_conlat_1(A), B, C), C)=C) ) ) ) ) ) ).
fof(t37_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  ( (v3_conlat_1(B, A) &  ( ~ (v4_conlat_1(B, A))  &  (v6_conlat_1(B, A) & l2_conlat_1(B, A)) ) )  =>  (! [C] :  ( (v3_conlat_1(C, A) &  ( ~ (v4_conlat_1(C, A))  &  (v6_conlat_1(C, A) & l2_conlat_1(C, A)) ) )  => k1_binop_1(k9_conlat_1(A), B, k1_binop_1(k10_conlat_1(A), B, C))=B) ) ) ) ) ) ).
fof(t38_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  ( (v3_conlat_1(B, A) &  ( ~ (v4_conlat_1(B, A))  &  (v6_conlat_1(B, A) & l2_conlat_1(B, A)) ) )  => k1_binop_1(k9_conlat_1(A), B, k5_conlat_1(A))=B) ) ) ) ).
fof(t39_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  ( (v3_conlat_1(B, A) &  ( ~ (v4_conlat_1(B, A))  &  (v6_conlat_1(B, A) & l2_conlat_1(B, A)) ) )  => k1_binop_1(k10_conlat_1(A), B, k5_conlat_1(A))=k5_conlat_1(A)) ) ) ) ).
fof(t40_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  ( (v3_conlat_1(B, A) &  ( ~ (v4_conlat_1(B, A))  &  (v6_conlat_1(B, A) & l2_conlat_1(B, A)) ) )  => k1_binop_1(k10_conlat_1(A), B, k6_conlat_1(A))=B) ) ) ) ).
fof(t41_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  ( (v3_conlat_1(B, A) &  ( ~ (v4_conlat_1(B, A))  &  (v6_conlat_1(B, A) & l2_conlat_1(B, A)) ) )  => k1_binop_1(k9_conlat_1(A), B, k6_conlat_1(A))=k6_conlat_1(A)) ) ) ) ).
fof(d20_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  => k11_conlat_1(A)=g3_lattices(k8_conlat_1(A), k10_conlat_1(A), k9_conlat_1(A))) ) ).
fof(t42_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  ( ~ (v2_struct_0(k11_conlat_1(A)))  &  (v10_lattices(k11_conlat_1(A)) & l3_lattices(k11_conlat_1(A))) ) ) ) ).
fof(d21_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k11_conlat_1(A))) => k12_conlat_1(A, B)=B) ) ) ) ).
fof(t43_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k11_conlat_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k11_conlat_1(A))) =>  (r3_lattices(k11_conlat_1(A), B, C) <=> r2_conlat_1(A, k12_conlat_1(A, B), k12_conlat_1(A, C))) ) ) ) ) ) ) ).
fof(t44_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  ( ~ (v2_struct_0(k11_conlat_1(A)))  &  (v10_lattices(k11_conlat_1(A)) &  (v4_lattice3(k11_conlat_1(A)) & l3_lattices(k11_conlat_1(A))) ) ) ) ) ).
fof(abstractness_v1_conlat_1, axiom,  (! [A] :  (l1_conlat_1(A) =>  (v1_conlat_1(A) => A=g1_conlat_1(u1_struct_0(A), u4_struct_0(A), u1_conlat_1(A))) ) ) ).
fof(dt_l1_conlat_1, axiom,  (! [A] :  (l1_conlat_1(A) => l5_struct_0(A)) ) ).
fof(existence_l1_conlat_1, axiom,  (? [A] : l1_conlat_1(A)) ).
fof(dt_g1_conlat_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v1_conlat_1(g1_conlat_1(A, B, C)) & l1_conlat_1(g1_conlat_1(A, B, C))) ) ) ).
fof(free_g1_conlat_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [D, E, F] :  (g1_conlat_1(A, B, C)=g1_conlat_1(D, E, F) =>  (A=D &  (B=E & C=F) ) ) ) ) ) ).
fof(dt_u1_conlat_1, axiom,  (! [A] :  (l1_conlat_1(A) => m1_subset_1(u1_conlat_1(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u4_struct_0(A))))) ) ).
fof(dt_k1_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (v1_funct_1(k1_conlat_1(A)) &  (v1_funct_2(k1_conlat_1(A), k9_setfam_1(u1_struct_0(A)), k9_setfam_1(u4_struct_0(A))) & m1_subset_1(k1_conlat_1(A), k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(u1_struct_0(A)), k9_setfam_1(u4_struct_0(A)))))) ) ) ) ).
fof(dt_k2_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (v1_funct_1(k2_conlat_1(A)) &  (v1_funct_2(k2_conlat_1(A), k9_setfam_1(u4_struct_0(A)), k9_setfam_1(u1_struct_0(A))) & m1_subset_1(k2_conlat_1(A), k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(u4_struct_0(A)), k9_setfam_1(u1_struct_0(A)))))) ) ) ) ).
fof(dt_k3_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (v1_funct_1(k3_conlat_1(A)) &  (v1_funct_2(k3_conlat_1(A), u1_struct_0(k2_yellow_1(u1_struct_0(A))), u1_struct_0(k2_yellow_1(u4_struct_0(A)))) & m1_subset_1(k3_conlat_1(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_yellow_1(u1_struct_0(A))), u1_struct_0(k2_yellow_1(u4_struct_0(A))))))) ) ) ) ).
fof(dt_k4_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (v1_funct_1(k4_conlat_1(A)) &  (v1_funct_2(k4_conlat_1(A), u1_struct_0(k2_yellow_1(u4_struct_0(A))), u1_struct_0(k2_yellow_1(u1_struct_0(A)))) & m1_subset_1(k4_conlat_1(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_yellow_1(u4_struct_0(A))), u1_struct_0(k2_yellow_1(u1_struct_0(A))))))) ) ) ) ).
fof(abstractness_v3_conlat_1, axiom,  (! [A, B] :  ( (l5_struct_0(A) & l2_conlat_1(B, A))  =>  (v3_conlat_1(B, A) => B=g2_conlat_1(A, u2_conlat_1(A, B), u3_conlat_1(A, B))) ) ) ).
fof(existence_l2_conlat_1, axiom,  (! [A] :  (l5_struct_0(A) =>  (? [B] : l2_conlat_1(B, A)) ) ) ).
fof(dt_g2_conlat_1, axiom,  (! [A, B, C] :  ( (l5_struct_0(A) &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u4_struct_0(A)))) )  =>  (v3_conlat_1(g2_conlat_1(A, B, C), A) & l2_conlat_1(g2_conlat_1(A, B, C), A)) ) ) ).
fof(free_g2_conlat_1, axiom,  (! [A, B, C] :  ( (l5_struct_0(A) &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u4_struct_0(A)))) )  =>  (! [D, E, F] :  (g2_conlat_1(A, B, C)=g2_conlat_1(D, E, F) =>  (A=D &  (B=E & C=F) ) ) ) ) ) ).
fof(dt_u2_conlat_1, axiom,  (! [A, B] :  ( (l5_struct_0(A) & l2_conlat_1(B, A))  => m1_subset_1(u2_conlat_1(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_u3_conlat_1, axiom,  (! [A, B] :  ( (l5_struct_0(A) & l2_conlat_1(B, A))  => m1_subset_1(u3_conlat_1(A, B), k1_zfmisc_1(u4_struct_0(A)))) ) ).
fof(dt_k5_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (v3_conlat_1(k5_conlat_1(A), A) &  ( ~ (v4_conlat_1(k5_conlat_1(A), A))  &  (v6_conlat_1(k5_conlat_1(A), A) &  (v7_conlat_1(k5_conlat_1(A), A) & l2_conlat_1(k5_conlat_1(A), A)) ) ) ) ) ) ).
fof(dt_k6_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (v3_conlat_1(k6_conlat_1(A), A) &  ( ~ (v4_conlat_1(k6_conlat_1(A), A))  &  (v6_conlat_1(k6_conlat_1(A), A) &  (v8_conlat_1(k6_conlat_1(A), A) & l2_conlat_1(k6_conlat_1(A), A)) ) ) ) ) ) ).
fof(dt_m1_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  (m1_conlat_1(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(existence_m1_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (? [B] : m1_conlat_1(B, A)) ) ) ).
fof(dt_m2_conlat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  & m1_conlat_1(B, A))  =>  (! [C] :  (m2_conlat_1(C, A, B) =>  ( ~ (v4_conlat_1(C, A))  &  (v6_conlat_1(C, A) & l2_conlat_1(C, A)) ) ) ) ) ) ).
fof(existence_m2_conlat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  & m1_conlat_1(B, A))  =>  (? [C] : m2_conlat_1(C, A, B)) ) ) ).
fof(redefinition_m2_conlat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  & m1_conlat_1(B, A))  =>  (! [C] :  (m2_conlat_1(C, A, B) <=> m1_subset_1(C, B)) ) ) ) ).
fof(dt_k7_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  ~ (v1_xboole_0(k7_conlat_1(A))) ) ) ).
fof(dt_k8_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  => m1_conlat_1(k8_conlat_1(A), A)) ) ).
fof(redefinition_k8_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  => k8_conlat_1(A)=k7_conlat_1(A)) ) ).
fof(dt_k9_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (v1_funct_1(k9_conlat_1(A)) &  (v1_funct_2(k9_conlat_1(A), k2_zfmisc_1(k8_conlat_1(A), k8_conlat_1(A)), k8_conlat_1(A)) & m1_subset_1(k9_conlat_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_conlat_1(A), k8_conlat_1(A)), k8_conlat_1(A))))) ) ) ) ).
fof(dt_k10_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (v1_funct_1(k10_conlat_1(A)) &  (v1_funct_2(k10_conlat_1(A), k2_zfmisc_1(k8_conlat_1(A), k8_conlat_1(A)), k8_conlat_1(A)) & m1_subset_1(k10_conlat_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_conlat_1(A), k8_conlat_1(A)), k8_conlat_1(A))))) ) ) ) ).
fof(dt_k11_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  ( ~ (v2_struct_0(k11_conlat_1(A)))  &  (v3_lattices(k11_conlat_1(A)) & l3_lattices(k11_conlat_1(A))) ) ) ) ).
fof(dt_m3_conlat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k11_conlat_1(A))))) )  =>  (! [C] :  (m3_conlat_1(C, A, B) =>  ( ~ (v4_conlat_1(C, A))  &  (v6_conlat_1(C, A) & l2_conlat_1(C, A)) ) ) ) ) ) ).
fof(existence_m3_conlat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k11_conlat_1(A))))) )  =>  (? [C] : m3_conlat_1(C, A, B)) ) ) ).
fof(redefinition_m3_conlat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k11_conlat_1(A))))) )  =>  (! [C] :  (m3_conlat_1(C, A, B) <=> m1_subset_1(C, B)) ) ) ) ).
fof(dt_k12_conlat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  & m1_subset_1(B, u1_struct_0(k11_conlat_1(A))))  =>  (v3_conlat_1(k12_conlat_1(A, B), A) &  ( ~ (v4_conlat_1(k12_conlat_1(A, B), A))  &  (v6_conlat_1(k12_conlat_1(A, B), A) & l2_conlat_1(k12_conlat_1(A, B), A)) ) ) ) ) ).
fof(d3_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k9_setfam_1(u1_struct_0(A)), k9_setfam_1(u4_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(u1_struct_0(A)), k9_setfam_1(u4_struct_0(A)))))) )  =>  (B=k1_conlat_1(A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u4_struct_0(A)), B, C)=a_2_0_conlat_1(A, C)) ) ) ) ) ) ) ).
fof(d4_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k9_setfam_1(u4_struct_0(A)), k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(u4_struct_0(A)), k9_setfam_1(u1_struct_0(A)))))) )  =>  (B=k2_conlat_1(A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u4_struct_0(A))) => k3_funct_2(k1_zfmisc_1(u4_struct_0(A)), k9_setfam_1(u1_struct_0(A)), B, C)=a_2_1_conlat_1(A, C)) ) ) ) ) ) ) ).
fof(t1_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_funct_1(k1_conlat_1(A), k1_tarski(B))=a_2_2_conlat_1(A, B)) ) ) ) ).
fof(t2_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) => k1_funct_1(k2_conlat_1(A), k1_tarski(B))=a_2_3_conlat_1(A, B)) ) ) ) ).
fof(d17_conlat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  => k7_conlat_1(A)=a_1_0_conlat_1(A)) ) ).
fof(fraenkel_a_2_0_conlat_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_conlat_1(B)) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_0_conlat_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, u4_struct_0(B)) &  (A=D &  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (r2_tarski(E, C) => r1_conlat_1(B, E, D)) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_conlat_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_conlat_1(B)) )  & m1_subset_1(C, k1_zfmisc_1(u4_struct_0(B))))  =>  (r2_hidden(A, a_2_1_conlat_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D &  (! [E] :  (m1_subset_1(E, u4_struct_0(B)) =>  (r2_tarski(E, C) => r1_conlat_1(B, D, E)) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_2_conlat_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_conlat_1(B)) )  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_2_2_conlat_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, u4_struct_0(B)) &  (A=D & r1_conlat_1(B, C, D)) ) ) ) ) ) ).
fof(fraenkel_a_2_3_conlat_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_conlat_1(B)) )  & m1_subset_1(C, u4_struct_0(B)))  =>  (r2_hidden(A, a_2_3_conlat_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & r1_conlat_1(B, D, C)) ) ) ) ) ) ).
fof(fraenkel_a_1_0_conlat_1, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_conlat_1(B)) )  =>  (r2_hidden(A, a_1_0_conlat_1(B)) <=>  (? [C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D, k1_zfmisc_1(u4_struct_0(B))))  &  (A=g2_conlat_1(B, C, D) &  ( ~ (v4_conlat_1(g2_conlat_1(B, C, D), B))  &  (k3_funct_2(k1_zfmisc_1(u1_struct_0(B)), k9_setfam_1(u4_struct_0(B)), k1_conlat_1(B), C)=D & k3_funct_2(k1_zfmisc_1(u4_struct_0(B)), k9_setfam_1(u1_struct_0(B)), k2_conlat_1(B), D)=C) ) ) ) ) ) ) ) ).
fof(fc1_conlat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  ( ~ (v2_struct_0(k11_conlat_1(A)))  &  (v3_lattices(k11_conlat_1(A)) & v15_lattices(k11_conlat_1(A))) ) ) ) ).
fof(fc2_conlat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (v3_lattices(k1_lattice2(A)) & v4_lattice3(k1_lattice2(A))) ) ) ).
fof(fc3_conlat_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  &  ( ~ (v4_conlat_1(B, A))  &  (v6_conlat_1(B, A) & l2_conlat_1(B, A)) ) )  =>  (v3_conlat_1(k8_conlat_2(A, B), k7_conlat_2(A)) &  ( ~ (v4_conlat_1(k8_conlat_2(A, B), k7_conlat_2(A)))  & v6_conlat_1(k8_conlat_2(A, B), k7_conlat_2(A))) ) ) ) ).
fof(d1_conlat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  ( (v3_conlat_1(B, A) &  ( ~ (v4_conlat_1(B, A))  &  (v6_conlat_1(B, A) & l2_conlat_1(B, A)) ) )  => k1_conlat_2(A, B)=B) ) ) ) ).
fof(t1_conlat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (k5_lattices(k11_conlat_1(A))=k6_conlat_1(A) & k6_lattices(k11_conlat_1(A))=k5_conlat_1(A)) ) ) ).
fof(t4_conlat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k11_conlat_1(A)))) =>  ( ( ~ (v4_conlat_1(k16_lattice3(k11_conlat_1(A), B), A))  &  (v6_conlat_1(k16_lattice3(k11_conlat_1(A), B), A) & l2_conlat_1(k16_lattice3(k11_conlat_1(A), B), A)) )  &  ( ~ (v4_conlat_1(k15_lattice3(k11_conlat_1(A), B), A))  &  (v6_conlat_1(k15_lattice3(k11_conlat_1(A), B), A) & l2_conlat_1(k15_lattice3(k11_conlat_1(A), B), A)) ) ) ) ) ) ) ).
fof(d2_conlat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k11_conlat_1(A)))) => k2_conlat_2(A, B)=k16_lattice3(k11_conlat_1(A), B)) ) ) ) ).
fof(d3_conlat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k11_conlat_1(A)))) => k3_conlat_2(A, B)=k15_lattice3(k11_conlat_1(A), B)) ) ) ) ).
fof(t5_conlat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (k3_conlat_2(A, k1_struct_0(k11_conlat_1(A)))=k6_conlat_1(A) & k2_conlat_2(A, k1_struct_0(k11_conlat_1(A)))=k5_conlat_1(A)) ) ) ).
fof(t6_conlat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (k3_conlat_2(A, k2_subset_1(u1_struct_0(k11_conlat_1(A))))=k5_conlat_1(A) & k2_conlat_2(A, k2_subset_1(u1_struct_0(k11_conlat_1(A))))=k6_conlat_1(A)) ) ) ).
fof(d4_conlat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k11_conlat_1(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k11_conlat_1(A)))))) )  =>  (B=k4_conlat_2(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) &  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u4_struct_0(A))) &  (k3_funct_2(u1_struct_0(A), u1_struct_0(k11_conlat_1(A)), B, C)=g2_conlat_1(A, D, E) &  (D=k3_funct_2(k9_setfam_1(u4_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k2_conlat_1(A), k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u4_struct_0(A)), k1_conlat_1(A), k6_domain_1(u1_struct_0(A), C))) & E=k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u4_struct_0(A)), k1_conlat_1(A), k6_domain_1(u1_struct_0(A), C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_conlat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u4_struct_0(A), u1_struct_0(k11_conlat_1(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), u1_struct_0(k11_conlat_1(A)))))) )  =>  (B=k5_conlat_2(A) <=>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) &  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u4_struct_0(A))) &  (k3_funct_2(u4_struct_0(A), u1_struct_0(k11_conlat_1(A)), B, C)=g2_conlat_1(A, D, E) &  (D=k3_funct_2(k1_zfmisc_1(u4_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k2_conlat_1(A), k6_domain_1(u4_struct_0(A), C)) & E=k3_funct_2(k9_setfam_1(u1_struct_0(A)), k9_setfam_1(u4_struct_0(A)), k1_conlat_1(A), k3_funct_2(k1_zfmisc_1(u4_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k2_conlat_1(A), k6_domain_1(u4_struct_0(A), C)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_conlat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  ( ( ~ (v4_conlat_1(k3_funct_2(u1_struct_0(A), u1_struct_0(k11_conlat_1(A)), k4_conlat_2(A), B), A))  &  (v6_conlat_1(k3_funct_2(u1_struct_0(A), u1_struct_0(k11_conlat_1(A)), k4_conlat_2(A), B), A) & l2_conlat_1(k3_funct_2(u1_struct_0(A), u1_struct_0(k11_conlat_1(A)), k4_conlat_2(A), B), A)) )  &  ( ~ (v4_conlat_1(k3_funct_2(u4_struct_0(A), u1_struct_0(k11_conlat_1(A)), k5_conlat_2(A), C), A))  &  (v6_conlat_1(k3_funct_2(u4_struct_0(A), u1_struct_0(k11_conlat_1(A)), k5_conlat_2(A), C), A) & l2_conlat_1(k3_funct_2(u4_struct_0(A), u1_struct_0(k11_conlat_1(A)), k5_conlat_2(A), C), A)) ) ) ) ) ) ) ) ) ).
fof(t12_conlat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (v8_lattice6(k2_relset_1(u1_struct_0(k11_conlat_1(A)), k4_conlat_2(A)), k11_conlat_1(A)) & v9_lattice6(k2_relset_1(u1_struct_0(k11_conlat_1(A)), k5_conlat_2(A)), k11_conlat_1(A))) ) ) ).
fof(t13_conlat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (r1_conlat_1(A, B, C) <=> r3_lattices(k11_conlat_1(A), k3_funct_2(u1_struct_0(A), u1_struct_0(k11_conlat_1(A)), k4_conlat_2(A), B), k3_funct_2(u4_struct_0(A), u1_struct_0(k11_conlat_1(A)), k5_conlat_2(A), C))) ) ) ) ) ) ) ).
fof(t14_conlat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_conlat_1(B)) )  =>  (r1_filter_1(k11_conlat_1(B), A) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  &  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u4_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(B), u1_struct_0(A))))) )  &  (v8_lattice6(k2_relset_1(u1_struct_0(A), C), A) &  (v9_lattice6(k2_relset_1(u1_struct_0(A), D), A) &  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u4_struct_0(B)) =>  (r1_conlat_1(B, E, F) <=> r3_lattices(A, k3_funct_2(u1_struct_0(B), u1_struct_0(A), C, E), k3_funct_2(u4_struct_0(B), u1_struct_0(A), D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_conlat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  => k6_conlat_2(A)=g1_conlat_1(u1_struct_0(A), u1_struct_0(A), k2_lattice3(A))) ) ).
fof(t15_conlat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  => r1_filter_1(k11_conlat_1(k6_conlat_2(A)), A)) ) ).
fof(t16_conlat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (v4_lattice3(A) <=>  (? [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_conlat_1(B)) )  & r1_filter_1(k11_conlat_1(B), A)) ) ) ) ) ).
fof(d7_conlat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  => k7_conlat_2(A)=g1_conlat_1(u4_struct_0(A), u1_struct_0(A), k3_relset_1(u1_struct_0(A), u4_struct_0(A), u1_conlat_1(A)))) ) ).
fof(t17_conlat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_conlat_1(A) & l1_conlat_1(A)) ) )  => k7_conlat_2(k7_conlat_2(A))=A) ) ).
fof(t18_conlat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u4_struct_0(A)), k1_conlat_1(A), B)=k1_funct_1(k2_conlat_1(k7_conlat_2(A)), B)) ) ) ) ).
fof(t19_conlat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u4_struct_0(A))) => k3_funct_2(k1_zfmisc_1(u4_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k2_conlat_1(A), B)=k1_funct_1(k1_conlat_1(k7_conlat_2(A)), B)) ) ) ) ).
fof(d8_conlat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  (l2_conlat_1(B, A) =>  (! [C] :  ( (v3_conlat_1(C, k7_conlat_2(A)) & l2_conlat_1(C, k7_conlat_2(A)))  =>  (C=k8_conlat_2(A, B) <=>  (u2_conlat_1(k7_conlat_2(A), C)=u3_conlat_1(A, B) & u3_conlat_1(k7_conlat_2(A), C)=u2_conlat_1(A, B)) ) ) ) ) ) ) ) ).
fof(t20_conlat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_conlat_1(A) & l1_conlat_1(A)) ) )  =>  (! [B] :  ( (v3_conlat_1(B, A) &  ( ~ (v4_conlat_1(B, A))  &  (v6_conlat_1(B, A) & l2_conlat_1(B, A)) ) )  => k8_conlat_2(k7_conlat_2(A), k8_conlat_2(A, B))=B) ) ) ) ).
fof(d9_conlat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  (m1_lattice4(B, k1_lattice2(k11_conlat_1(A)), k11_conlat_1(k7_conlat_2(A))) =>  (B=k9_conlat_2(A) <=>  (! [C] :  ( (v3_conlat_1(C, A) &  ( ~ (v4_conlat_1(C, A))  &  (v6_conlat_1(C, A) & l2_conlat_1(C, A)) ) )  => k1_funct_1(B, C)=k8_conlat_2(A, C)) ) ) ) ) ) ) ).
fof(t21_conlat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  => v3_funct_2(k9_conlat_2(A), u1_struct_0(k1_lattice2(k11_conlat_1(A))), u1_struct_0(k11_conlat_1(k7_conlat_2(A))))) ) ).
fof(t22_conlat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  => r1_filter_1(k11_conlat_1(k7_conlat_2(A)), k1_lattice2(k11_conlat_1(A)))) ) ).
fof(dt_k1_conlat_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  &  (v3_conlat_1(B, A) &  ( ~ (v4_conlat_1(B, A))  &  (v6_conlat_1(B, A) & l2_conlat_1(B, A)) ) ) )  => m1_subset_1(k1_conlat_2(A, B), u1_struct_0(k11_conlat_1(A)))) ) ).
fof(dt_k2_conlat_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k11_conlat_1(A)))))  =>  ( ~ (v4_conlat_1(k2_conlat_2(A, B), A))  &  (v6_conlat_1(k2_conlat_2(A, B), A) & l2_conlat_1(k2_conlat_2(A, B), A)) ) ) ) ).
fof(dt_k3_conlat_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k11_conlat_1(A)))))  =>  ( ~ (v4_conlat_1(k3_conlat_2(A, B), A))  &  (v6_conlat_1(k3_conlat_2(A, B), A) & l2_conlat_1(k3_conlat_2(A, B), A)) ) ) ) ).
fof(dt_k4_conlat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (v1_funct_1(k4_conlat_2(A)) &  (v1_funct_2(k4_conlat_2(A), u1_struct_0(A), u1_struct_0(k11_conlat_1(A))) & m1_subset_1(k4_conlat_2(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k11_conlat_1(A)))))) ) ) ) ).
fof(dt_k5_conlat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (v1_funct_1(k5_conlat_2(A)) &  (v1_funct_2(k5_conlat_2(A), u4_struct_0(A), u1_struct_0(k11_conlat_1(A))) & m1_subset_1(k5_conlat_2(A), k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), u1_struct_0(k11_conlat_1(A)))))) ) ) ) ).
fof(dt_k6_conlat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  ( ~ (v2_struct_0(k6_conlat_2(A)))  &  ( ~ (v11_struct_0(k6_conlat_2(A)))  &  (v1_conlat_1(k6_conlat_2(A)) & l1_conlat_1(k6_conlat_2(A))) ) ) ) ) ).
fof(dt_k7_conlat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  ( ~ (v2_struct_0(k7_conlat_2(A)))  &  ( ~ (v11_struct_0(k7_conlat_2(A)))  &  (v1_conlat_1(k7_conlat_2(A)) & l1_conlat_1(k7_conlat_2(A))) ) ) ) ) ).
fof(dt_k8_conlat_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  & l2_conlat_1(B, A))  =>  (v3_conlat_1(k8_conlat_2(A, B), k7_conlat_2(A)) & l2_conlat_1(k8_conlat_2(A, B), k7_conlat_2(A))) ) ) ).
fof(dt_k9_conlat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  => m1_lattice4(k9_conlat_2(A), k1_lattice2(k11_conlat_1(A)), k11_conlat_1(k7_conlat_2(A)))) ) ).
fof(t2_conlat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))  => k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u4_struct_0(A)), k1_conlat_1(A), k5_setfam_1(u1_struct_0(A), B))=k1_setfam_1(a_2_0_conlat_2(A, B))) ) ) ) ).
fof(t3_conlat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u4_struct_0(A)))))  => k3_funct_2(k1_zfmisc_1(u4_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k2_conlat_1(A), k5_setfam_1(u4_struct_0(A), B))=k1_setfam_1(a_2_1_conlat_2(A, B))) ) ) ) ).
fof(t7_conlat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k11_conlat_1(A)))))  =>  (u2_conlat_1(A, k3_conlat_2(A, B))=k1_funct_1(k2_conlat_1(A), k1_funct_1(k1_conlat_1(A), k3_tarski(a_2_2_conlat_2(A, B)))) & u3_conlat_1(A, k3_conlat_2(A, B))=k1_setfam_1(a_2_3_conlat_2(A, B))) ) ) ) ) ).
fof(t8_conlat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k11_conlat_1(A)))))  =>  (u2_conlat_1(A, k2_conlat_2(A, B))=k1_setfam_1(a_2_2_conlat_2(A, B)) & u3_conlat_1(A, k2_conlat_2(A, B))=k1_funct_1(k1_conlat_1(A), k1_funct_1(k2_conlat_1(A), k3_tarski(a_2_3_conlat_2(A, B))))) ) ) ) ) ).
fof(t9_conlat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  ( (v3_conlat_1(B, A) &  ( ~ (v4_conlat_1(B, A))  &  (v6_conlat_1(B, A) & l2_conlat_1(B, A)) ) )  => k15_lattice3(k11_conlat_1(A), a_2_4_conlat_2(A, B))=B) ) ) ) ).
fof(t10_conlat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_conlat_1(A)) )  =>  (! [B] :  ( (v3_conlat_1(B, A) &  ( ~ (v4_conlat_1(B, A))  &  (v6_conlat_1(B, A) & l2_conlat_1(B, A)) ) )  => k16_lattice3(k11_conlat_1(A), a_2_5_conlat_2(A, B))=B) ) ) ) ).
fof(fraenkel_a_2_0_conlat_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_conlat_1(B)) )  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B))))) )  =>  (r2_hidden(A, a_2_0_conlat_2(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) &  (A=k3_funct_2(k1_zfmisc_1(u1_struct_0(B)), k9_setfam_1(u4_struct_0(B)), k1_conlat_1(B), D) & r2_tarski(D, C)) ) ) ) ) ) ).
fof(fraenkel_a_2_1_conlat_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_conlat_1(B)) )  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u4_struct_0(B))))) )  =>  (r2_hidden(A, a_2_1_conlat_2(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u4_struct_0(B))) &  (A=k3_funct_2(k1_zfmisc_1(u4_struct_0(B)), k9_setfam_1(u1_struct_0(B)), k2_conlat_1(B), D) & r2_tarski(D, C)) ) ) ) ) ) ).
fof(fraenkel_a_2_2_conlat_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_conlat_1(B)) )  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k11_conlat_1(B))))) )  =>  (r2_hidden(A, a_2_2_conlat_2(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(E, k1_zfmisc_1(u4_struct_0(B))))  &  (A=u2_conlat_1(B, g2_conlat_1(B, D, E)) & r2_tarski(g2_conlat_1(B, D, E), C)) ) ) ) ) ) ).
fof(fraenkel_a_2_3_conlat_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_conlat_1(B)) )  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k11_conlat_1(B))))) )  =>  (r2_hidden(A, a_2_3_conlat_2(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(E, k1_zfmisc_1(u4_struct_0(B))))  &  (A=u3_conlat_1(B, g2_conlat_1(B, D, E)) & r2_tarski(g2_conlat_1(B, D, E), C)) ) ) ) ) ) ).
fof(fraenkel_a_2_4_conlat_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_conlat_1(B)) )  &  (v3_conlat_1(C, B) &  ( ~ (v4_conlat_1(C, B))  &  (v6_conlat_1(C, B) & l2_conlat_1(C, B)) ) ) )  =>  (r2_hidden(A, a_2_4_conlat_2(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(E, k1_zfmisc_1(u4_struct_0(B))))  &  (A=g2_conlat_1(B, D, E) &  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (r2_tarski(F, u2_conlat_1(B, C)) &  (D=k3_funct_2(k9_setfam_1(u4_struct_0(B)), k9_setfam_1(u1_struct_0(B)), k2_conlat_1(B), k3_funct_2(k1_zfmisc_1(u1_struct_0(B)), k9_setfam_1(u4_struct_0(B)), k1_conlat_1(B), k6_domain_1(u1_struct_0(B), F))) & E=k3_funct_2(k1_zfmisc_1(u1_struct_0(B)), k9_setfam_1(u4_struct_0(B)), k1_conlat_1(B), k6_domain_1(u1_struct_0(B), F))) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_5_conlat_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_conlat_1(B)) )  &  (v3_conlat_1(C, B) &  ( ~ (v4_conlat_1(C, B))  &  (v6_conlat_1(C, B) & l2_conlat_1(C, B)) ) ) )  =>  (r2_hidden(A, a_2_5_conlat_2(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(E, k1_zfmisc_1(u4_struct_0(B))))  &  (A=g2_conlat_1(B, D, E) &  (? [F] :  (m1_subset_1(F, u4_struct_0(B)) &  (r2_tarski(F, u3_conlat_1(B, C)) &  (D=k3_funct_2(k1_zfmisc_1(u4_struct_0(B)), k9_setfam_1(u1_struct_0(B)), k2_conlat_1(B), k6_domain_1(u4_struct_0(B), F)) & E=k3_funct_2(k9_setfam_1(u1_struct_0(B)), k9_setfam_1(u4_struct_0(B)), k1_conlat_1(B), k3_funct_2(k1_zfmisc_1(u4_struct_0(B)), k9_setfam_1(u1_struct_0(B)), k2_conlat_1(B), k6_domain_1(u4_struct_0(B), F)))) ) ) ) ) ) ) ) ) ) ).
fof(d1_conmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v1_conmetr(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(A))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r2_hidden(B, I) &  (r2_hidden(C, I) &  (r2_hidden(D, I) &  (r2_hidden(E, I) &  (r2_hidden(B, J) &  (r2_hidden(F, J) &  (r2_hidden(G, J) &  (r2_hidden(H, J) &  (r10_analmetr(A, I, J) &  (r2_analoaf(A, E, G, D, F) & r2_analoaf(A, E, H, C, F)) ) ) ) ) ) ) ) ) )  =>  (r2_hidden(G, I) |  (r2_hidden(E, J) |  (B=C |  (B=D |  (B=E |  (B=F |  (B=G |  (B=H | r2_analoaf(A, C, G, D, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_conmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v2_conmetr(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(A))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v5_analmetr(I, A) &  (v5_analmetr(J, A) &  (r2_hidden(B, I) &  (r2_hidden(C, I) &  (r2_hidden(D, I) &  (r2_hidden(E, I) &  (r2_hidden(B, J) &  (r2_hidden(F, J) &  (r2_hidden(G, J) &  (r2_hidden(H, J) &  (r2_analoaf(A, E, G, D, F) & r2_analoaf(A, E, H, C, F)) ) ) ) ) ) ) ) ) ) )  =>  (r2_hidden(G, I) |  (r2_hidden(E, J) |  (B=C |  (B=D |  (B=E |  (B=F |  (B=G |  (B=H | r2_analoaf(A, C, G, D, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_conmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v3_conmetr(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(A))) =>  (! [K] :  (m1_subset_1(K, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r10_analmetr(A, J, K) &  (r2_hidden(B, J) &  (r2_hidden(D, J) &  (r2_hidden(F, J) &  (r2_hidden(H, J) &  (r2_hidden(C, K) &  (r2_hidden(E, K) &  (r2_hidden(G, K) &  (r2_hidden(I, K) &  (r4_analmetr(A, B, C, F, G) &  (r4_analmetr(A, C, D, G, H) & r4_analmetr(A, D, E, H, I)) ) ) ) ) ) ) ) ) ) )  =>  (r2_hidden(C, J) |  (r2_hidden(E, J) | r4_analmetr(A, B, E, F, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_conmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v4_conmetr(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(A))) =>  (! [K] :  (m1_subset_1(K, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r10_analmetr(A, J, K) &  (r2_hidden(B, J) &  (r2_hidden(D, J) &  (r2_hidden(G, J) &  (r2_hidden(I, J) &  (r2_hidden(C, K) &  (r2_hidden(E, K) &  (r2_hidden(F, K) &  (r2_hidden(H, K) &  (r4_analmetr(A, B, C, F, G) &  (r4_analmetr(A, C, D, G, H) & r4_analmetr(A, D, E, H, I)) ) ) ) ) ) ) ) ) ) )  =>  (r2_hidden(C, J) |  (r2_hidden(E, J) | r4_analmetr(A, B, E, F, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_conmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v5_conmetr(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ( (r5_analmetr(A, B, C, D) &  (r5_analmetr(A, B, E, F) &  (r5_analmetr(A, B, G, H) &  (r2_analoaf(A, C, E, D, F) &  (r2_analoaf(A, C, E, B, G) & r2_analoaf(A, E, G, F, H)) ) ) ) )  =>  (B=C |  (B=D |  (B=E |  (B=F |  (B=G |  (B=H |  (r5_analmetr(A, E, F, C) |  (r5_analmetr(A, E, F, G) | r2_analoaf(A, C, G, D, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_conmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v6_conmetr(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(A))) =>  (! [K] :  (m1_subset_1(K, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v5_analmetr(J, A) &  (v5_analmetr(K, A) &  (r2_hidden(B, J) &  (r2_hidden(D, J) &  (r2_hidden(F, J) &  (r2_hidden(H, J) &  (r2_hidden(C, K) &  (r2_hidden(E, K) &  (r2_hidden(G, K) &  (r2_hidden(I, K) &  (r2_analoaf(A, D, C, H, G) &  (r2_analoaf(A, C, B, G, F) & r2_analoaf(A, B, E, F, I)) ) ) ) ) ) ) ) ) ) ) )  =>  (r2_hidden(E, J) |  (r2_hidden(C, J) |  (r2_hidden(G, J) |  (r2_hidden(I, J) |  (r2_hidden(B, K) |  (r2_hidden(D, K) |  (r2_hidden(F, K) |  (r2_hidden(H, K) | r2_analoaf(A, D, E, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_conmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v7_conmetr(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(A))) =>  (! [K] :  (m1_subset_1(K, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r10_analmetr(A, J, K) &  (r2_hidden(B, J) &  (r2_hidden(D, J) &  (r2_hidden(F, J) &  (r2_hidden(H, J) &  (r2_hidden(C, K) &  (r2_hidden(E, K) &  (r2_hidden(G, K) &  (r2_hidden(I, K) &  (r2_analoaf(A, D, C, H, G) &  (r2_analoaf(A, C, B, G, F) & r2_analoaf(A, B, E, F, I)) ) ) ) ) ) ) ) ) ) )  =>  (r2_hidden(E, J) |  (r2_hidden(C, J) |  (r2_hidden(G, J) |  (r2_hidden(I, J) |  (r2_hidden(B, K) |  (r2_hidden(D, K) |  (r2_hidden(F, K) |  (r2_hidden(H, K) | r2_analoaf(A, D, E, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_conmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v8_conmetr(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_analoaf(A, B, C, D, E) &  (r2_analoaf(A, B, C, F, G) &  (r2_analoaf(A, B, D, C, E) & r2_analoaf(A, B, F, C, G)) ) )  =>  (r5_analmetr(A, B, C, D) |  (r5_analmetr(A, B, C, F) | r2_analoaf(A, D, F, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_conmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (r5_analmetr(A, B, C, D) &  ( ~ (B=C)  &  ( ~ (C=D)  &  ~ (D=B) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_conmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (r5_analmetr(A, B, C, D) &  ( ~ (B=D)  &  ~ (C=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_conmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (v5_analmetr(B, A) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_hidden(C, D) & r10_analmetr(A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_conmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v5_analmetr(E, A) &  (r2_hidden(B, E) &  (r2_hidden(C, E) & r2_hidden(D, E)) ) )  => r5_analmetr(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_conmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v5_analmetr(D, A) &  (v5_analmetr(E, A) &  (r2_hidden(B, D) &  (r2_hidden(C, D) &  (r2_hidden(B, E) &  (r2_hidden(C, E) &  ( ~ (B=C)  &  ~ (D=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_conmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(g1_analoaf(u1_struct_0(A), u1_analoaf(A))))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) =>  ( (D=H &  (E=I &  (F=G &  (r2_hidden(B, F) &  (r2_hidden(C, F) & r2_aff_1(g1_analoaf(u1_struct_0(A), u1_analoaf(A)), H, I, G)) ) ) ) )  => r2_analoaf(A, D, E, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_conmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v5_conmetr(A) => v7_aff_2(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) ) ) ).
fof(t8_conmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v11_aff_2(g1_analoaf(u1_struct_0(A), u1_analoaf(A))) => v8_conmetr(A)) ) ) ).
fof(t9_conmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v3_conmetr(A) => v7_conmetr(A)) ) ) ).
fof(t10_conmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v4_conmetr(A) => v7_conmetr(A)) ) ) ).
fof(t11_conmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v2_conaffm(A) => v5_conmetr(A)) ) ) ).
fof(t12_conmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  ( (v7_conmetr(A) & v5_conmetr(A))  => v6_conmetr(A)) ) ) ).
fof(t13_conmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  ( (v1_conmetr(A) & v1_conaffm(A))  => v2_conmetr(A)) ) ) ).
fof(t14_conmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  ( (v3_conmetr(A) & v4_conmetr(A))  => v1_conmetr(A)) ) ) ).
fof(t15_conmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v3_conaffm(A) => v1_conmetr(A)) ) ) ).
fof(d1_conmetr1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v1_conmetr1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(A))) =>  (! [K] :  (m1_subset_1(K, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r5_aff_1(A, J, K) &  (r2_hidden(B, J) &  (r2_hidden(D, J) &  (r2_hidden(F, J) &  (r2_hidden(H, J) &  (r2_hidden(C, K) &  (r2_hidden(E, K) &  (r2_hidden(G, K) &  (r2_hidden(I, K) &  (r2_analoaf(A, D, C, H, G) &  (r2_analoaf(A, C, B, G, F) & r2_analoaf(A, B, E, F, I)) ) ) ) ) ) ) ) ) ) )  =>  (r2_hidden(E, J) |  (r2_hidden(C, J) |  (r2_hidden(G, J) |  (r2_hidden(I, J) |  (r2_hidden(B, K) |  (r2_hidden(D, K) |  (r2_hidden(F, K) |  (r2_hidden(H, K) | r2_analoaf(A, D, E, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_conmetr1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v2_conmetr1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, k1_zfmisc_1(u1_struct_0(A))) =>  (! [L] :  (m1_subset_1(L, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_aff_1(K, A) &  (v1_aff_1(L, A) &  (r2_hidden(B, K) &  (r2_hidden(B, L) &  (r2_hidden(C, K) &  (r2_hidden(E, K) &  (r2_hidden(G, K) &  (r2_hidden(I, K) &  (r2_hidden(D, L) &  (r2_hidden(F, L) &  (r2_hidden(H, L) &  (r2_hidden(J, L) &  (r2_analoaf(A, E, D, I, H) &  (r2_analoaf(A, D, C, H, G) & r2_analoaf(A, C, F, G, J)) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (r2_hidden(F, K) |  (r2_hidden(D, K) |  (r2_hidden(H, K) |  (r2_hidden(J, K) |  (r2_hidden(C, L) |  (r2_hidden(E, L) |  (r2_hidden(G, L) |  (r2_hidden(I, L) | r2_analoaf(A, E, F, I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_conmetr1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v3_conmetr1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(A))) =>  (! [K] :  (m1_subset_1(K, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_aff_1(J, A) &  (v1_aff_1(K, A) &  (r2_hidden(B, J) &  (r2_hidden(D, J) &  (r2_hidden(F, J) &  (r2_hidden(H, J) &  (r2_hidden(C, K) &  (r2_hidden(E, K) &  (r2_hidden(G, K) &  (r2_hidden(I, K) &  (r2_analoaf(A, D, C, H, G) &  (r2_analoaf(A, C, B, G, F) & r2_analoaf(A, B, E, F, I)) ) ) ) ) ) ) ) ) ) ) )  =>  (r2_hidden(E, J) |  (r2_hidden(C, J) |  (r2_hidden(G, J) |  (r2_hidden(I, J) |  (r2_hidden(B, K) |  (r2_hidden(D, K) |  (r2_hidden(F, K) |  (r2_hidden(H, K) | r2_analoaf(A, D, E, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_conmetr1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v4_conmetr1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(A))) =>  (! [K] :  (m1_subset_1(K, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_aff_1(J, A) &  (v1_aff_1(K, A) &  (r2_hidden(B, J) &  (r2_hidden(D, J) &  (r2_hidden(G, J) &  (r2_hidden(I, J) &  (r2_hidden(C, K) &  (r2_hidden(E, K) &  (r2_hidden(F, K) &  (r2_hidden(H, K) &  (r2_analoaf(A, D, C, H, G) &  (r2_analoaf(A, C, B, G, F) & r2_analoaf(A, B, E, F, I)) ) ) ) ) ) ) ) ) ) ) )  =>  (r2_hidden(E, J) |  (r2_hidden(C, J) |  (r2_hidden(F, J) |  (r2_hidden(H, J) |  (r2_hidden(B, K) |  (r2_hidden(D, K) |  (r2_hidden(G, K) |  (r2_hidden(I, K) | r2_analoaf(A, D, E, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_conmetr1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v5_conmetr1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(A))) =>  (! [K] :  (m1_subset_1(K, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r5_aff_1(A, J, K) &  (r2_hidden(B, J) &  (r2_hidden(D, J) &  (r2_hidden(G, J) &  (r2_hidden(I, J) &  (r2_hidden(C, K) &  (r2_hidden(E, K) &  (r2_hidden(F, K) &  (r2_hidden(H, K) &  (r2_analoaf(A, D, C, H, G) &  (r2_analoaf(A, C, B, G, F) & r2_analoaf(A, B, E, F, I)) ) ) ) ) ) ) ) ) ) )  =>  (r2_hidden(E, J) |  (r2_hidden(C, J) |  (r2_hidden(F, J) |  (r2_hidden(H, J) |  (r2_hidden(B, K) |  (r2_hidden(D, K) |  (r2_hidden(G, K) |  (r2_hidden(I, K) | r2_analoaf(A, D, E, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_conmetr1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v6_conmetr1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, k1_zfmisc_1(u1_struct_0(A))) =>  (! [L] :  (m1_subset_1(L, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_aff_1(K, A) &  (v1_aff_1(L, A) &  (r2_hidden(B, K) &  (r2_hidden(B, L) &  (r2_hidden(C, K) &  (r2_hidden(E, K) &  (r2_hidden(H, K) &  (r2_hidden(J, K) &  (r2_hidden(D, L) &  (r2_hidden(F, L) &  (r2_hidden(G, L) &  (r2_hidden(I, L) &  (r2_analoaf(A, E, D, I, H) &  (r2_analoaf(A, D, C, H, G) & r2_analoaf(A, C, F, G, J)) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (r2_hidden(F, K) |  (r2_hidden(D, K) |  (r2_hidden(G, K) |  (r2_hidden(I, K) |  (r2_hidden(C, L) |  (r2_hidden(E, L) |  (r2_hidden(H, L) |  (r2_hidden(J, L) | r2_analoaf(A, E, F, I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_conmetr1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v4_conmetr1(A) <=>  (v5_conmetr1(A) & v6_conmetr1(A)) ) ) ) ).
fof(t2_conmetr1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v3_conmetr1(A) <=>  (v1_conmetr1(A) & v2_conmetr1(A)) ) ) ) ).
fof(t3_conmetr1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v5_conmetr1(A) => v1_conmetr1(A)) ) ) ).
fof(t4_conmetr1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v6_conmetr1(A) => v2_conmetr1(A)) ) ) ).
fof(t5_conmetr1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v4_conmetr1(A) => v3_conmetr1(A)) ) ) ).
fof(t6_conmetr1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v11_aff_2(A) => v1_conmetr1(A)) ) ) ).
fof(t7_conmetr1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v4_aff_2(A) => v2_conmetr1(A)) ) ) ).
fof(t8_conmetr1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v4_aff_2(A) <=> v3_conmetr1(A)) ) ) ).
fof(t9_conmetr1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v13_aff_2(A) <=> v5_conmetr1(A)) ) ) ).
fof(t10_conmetr1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v2_aff_2(A) <=> v6_conmetr1(A)) ) ) ).
fof(t11_conmetr1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v1_aff_2(A) <=> v4_conmetr1(A)) ) ) ).
fof(t12_conmetr1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v6_conmetr1(A) => v5_conmetr1(A)) ) ) ).
fof(t13_conmetr1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v3_conmetr1(g1_analoaf(u1_struct_0(A), u1_analoaf(A))) <=> v6_conmetr(A)) ) ) ).
fof(t14_conmetr1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v5_conmetr(A) <=> v7_aff_2(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) ) ) ).
fof(t15_conmetr1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v11_aff_2(g1_analoaf(u1_struct_0(A), u1_analoaf(A))) <=> v8_conmetr(A)) ) ) ).
fof(t16_conmetr1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v2_conmetr(A) <=> v2_aff_2(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) ) ) ).
fof(t17_conmetr1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v1_conaffm(A) <=> v4_aff_2(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) ) ) ).
fof(fc1_connsp_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  & m1_subset_1(B, u1_struct_0(A)))  => v2_connsp_1(k1_tarski(B), A)) ) ).
fof(cc1_connsp_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_connsp_1(B, A) => v2_connsp_1(B, A)) ) ) ) ) ).
fof(cc2_connsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_connsp_1(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ) ).
fof(cc3_connsp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_connsp_1(B, A) => v4_pre_topc(B, A)) ) ) ) ) ).
fof(fc2_connsp_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  ( ~ (v1_xboole_0(k1_connsp_1(A, B)))  & v2_connsp_1(k1_connsp_1(A, B), A)) ) ) ).
fof(rc1_connsp_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v1_xboole_0(B)) ) ) ) ).
fof(cc4_connsp_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_xboole_0(B) => v2_connsp_1(B, A)) ) ) ) ) ).
fof(d1_connsp_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_connsp_1(A, B, C) <=>  (r1_xboole_0(k2_pre_topc(A, B), C) & r1_xboole_0(B, k2_pre_topc(A, C))) ) ) ) ) ) ) ) ).
fof(t1_connsp_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_connsp_1(A, B, C) => r1_xboole_0(B, C)) ) ) ) ) ) ) ).
fof(t2_connsp_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v4_pre_topc(B, A) &  (v4_pre_topc(C, A) & r1_xboole_0(B, C)) )  => r1_connsp_1(A, B, C)) ) ) ) ) ) ) ).
fof(t3_connsp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (k2_struct_0(A)=k4_subset_1(u1_struct_0(A), B, C) &  (v3_pre_topc(B, A) &  (v3_pre_topc(C, A) & r1_xboole_0(B, C)) ) )  => r1_connsp_1(A, B, C)) ) ) ) ) ) ) ).
fof(t4_connsp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (k2_struct_0(A)=k4_subset_1(u1_struct_0(A), B, C) & r1_connsp_1(A, B, C))  =>  (v3_pre_topc(B, A) &  (v4_pre_topc(B, A) &  (v3_pre_topc(C, A) & v4_pre_topc(C, A)) ) ) ) ) ) ) ) ) ) ).
fof(t5_connsp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_pre_topc(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(B))) =>  ( (E=C &  (F=D & r1_connsp_1(B, E, F)) )  => r1_connsp_1(A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_connsp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_pre_topc(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(B))) =>  ( (C=E &  (D=F &  (r1_tarski(k4_subset_1(u1_struct_0(A), C, D), k2_struct_0(B)) & r1_connsp_1(A, C, D)) ) )  => r1_connsp_1(B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_connsp_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r1_connsp_1(A, B, D) &  (r1_tarski(C, B) & r1_tarski(E, D)) )  => r1_connsp_1(A, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_connsp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r1_connsp_1(A, B, C) & r1_connsp_1(A, B, D))  => r1_connsp_1(A, B, k4_subset_1(u1_struct_0(A), C, D))) ) ) ) ) ) ) ) ) ).
fof(t9_connsp_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( ( (v4_pre_topc(B, A) & v4_pre_topc(C, A))  |  (v3_pre_topc(B, A) & v3_pre_topc(C, A)) )  => r1_connsp_1(A, k7_subset_1(u1_struct_0(A), B, C), k7_subset_1(u1_struct_0(A), C, B))) ) ) ) ) ) ) ).
fof(d2_connsp_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v1_connsp_1(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (k2_struct_0(A)=k4_subset_1(u1_struct_0(A), B, C) &  (r1_connsp_1(A, B, C) &  ( ~ (B=k1_struct_0(A))  &  ~ (C=k1_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_connsp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (v1_connsp_1(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (k2_struct_0(A)=k4_subset_1(u1_struct_0(A), B, C) &  ( ~ (B=k1_struct_0(A))  &  ( ~ (C=k1_struct_0(A))  &  (v4_pre_topc(B, A) &  (v4_pre_topc(C, A) & r1_xboole_0(B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_connsp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (v1_connsp_1(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (k2_struct_0(A)=k4_subset_1(u1_struct_0(A), B, C) &  ( ~ (B=k1_struct_0(A))  &  ( ~ (C=k1_struct_0(A))  &  (v3_pre_topc(B, A) &  (v3_pre_topc(C, A) & r1_xboole_0(B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_connsp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (v1_connsp_1(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( ~ (B=k1_struct_0(A))  &  ( ~ (B=k2_struct_0(A))  & r1_xboole_0(k2_pre_topc(A, B), k2_pre_topc(A, k7_subset_1(u1_struct_0(A), k2_struct_0(A), B)))) ) ) ) ) ) ) ) ).
fof(t13_connsp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (v1_connsp_1(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v3_pre_topc(B, A) &  (v4_pre_topc(B, A) &  ( ~ (B=k1_struct_0(A))  &  ~ (B=k2_struct_0(A)) ) ) ) ) ) ) ) ) ) ).
fof(t14_connsp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ( (v5_pre_topc(C, A, B) &  (k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, k2_struct_0(A))=k2_struct_0(B) & v1_connsp_1(A)) )  => v1_connsp_1(B)) ) ) ) ) ) ) ).
fof(d3_connsp_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_connsp_1(B, A) <=> v1_connsp_1(k1_pre_topc(A, B))) ) ) ) ) ).
fof(t15_connsp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_connsp_1(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (B=k4_subset_1(u1_struct_0(A), C, D) &  (r1_connsp_1(A, C, D) &  ( ~ (C=k1_struct_0(A))  &  ~ (D=k1_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_connsp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v2_connsp_1(B, A) &  (r1_tarski(B, k4_subset_1(u1_struct_0(A), C, D)) &  (r1_connsp_1(A, C, D) &  ( ~ (r1_tarski(B, C))  &  ~ (r1_tarski(B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_connsp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v2_connsp_1(B, A) & v2_connsp_1(C, A))  =>  (r1_connsp_1(A, B, C) | v2_connsp_1(k4_subset_1(u1_struct_0(A), B, C), A)) ) ) ) ) ) ) ) ).
fof(t18_connsp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v2_connsp_1(C, A) &  (r1_tarski(C, B) & r1_tarski(B, k2_pre_topc(A, C))) )  => v2_connsp_1(B, A)) ) ) ) ) ) ) ).
fof(t19_connsp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_connsp_1(B, A) => v2_connsp_1(k2_pre_topc(A, B), A)) ) ) ) ) ).
fof(t20_connsp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_connsp_1(A) &  (v2_connsp_1(B, A) &  (k7_subset_1(u1_struct_0(A), k2_struct_0(A), B)=k4_subset_1(u1_struct_0(A), C, D) & r1_connsp_1(A, C, D)) ) )  =>  (v2_connsp_1(k4_subset_1(u1_struct_0(A), B, C), A) & v2_connsp_1(k4_subset_1(u1_struct_0(A), B, D), A)) ) ) ) ) ) ) ) ) ) ).
fof(t21_connsp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (k7_subset_1(u1_struct_0(A), k2_struct_0(A), B)=k4_subset_1(u1_struct_0(A), C, D) &  (r1_connsp_1(A, C, D) & v4_pre_topc(B, A)) )  =>  (v4_pre_topc(k4_subset_1(u1_struct_0(A), B, C), A) & v4_pre_topc(k4_subset_1(u1_struct_0(A), B, D), A)) ) ) ) ) ) ) ) ) ) ).
fof(t22_connsp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v2_connsp_1(C, A) &  ( ~ (r1_xboole_0(C, B))  &  ( ~ (k7_subset_1(u1_struct_0(A), C, B)=k1_struct_0(A))  & r1_xboole_0(C, k2_tops_1(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(t23_connsp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_pre_topc(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (C=D =>  (v2_connsp_1(C, A) <=> v2_connsp_1(D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t24_connsp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v4_pre_topc(B, A) &  (v4_pre_topc(C, A) &  (v2_connsp_1(k4_subset_1(u1_struct_0(A), B, C), A) & v2_connsp_1(k9_subset_1(u1_struct_0(A), B, C), A)) ) )  =>  (v2_connsp_1(B, A) & v2_connsp_1(C, A)) ) ) ) ) ) ) ) ).
fof(t25_connsp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ( (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(C, B) => v2_connsp_1(C, A)) ) )  =>  ( (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( ~ (C=k1_struct_0(A))  &  (r2_tarski(C, B) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_tarski(D, B) &  ( ~ (D=C)  & r1_connsp_1(A, C, D)) ) ) ) ) ) ) ) ) )  | v2_connsp_1(k5_setfam_1(u1_struct_0(A), B), A)) ) ) ) ) ) ).
fof(t26_connsp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ( (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(C, B) => v2_connsp_1(C, A)) ) )  =>  (k6_setfam_1(u1_struct_0(A), B)=k1_struct_0(A) | v2_connsp_1(k5_setfam_1(u1_struct_0(A), B), A)) ) ) ) ) ) ).
fof(t27_connsp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (v2_connsp_1(k2_struct_0(A), A) <=> v1_connsp_1(A)) ) ) ).
fof(d4_connsp_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_connsp_1(A, B, C) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) &  (v2_connsp_1(D, A) &  (r2_tarski(B, D) & r2_tarski(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_connsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_connsp_1(A, B, C)) ) ) )  => v1_connsp_1(A)) ) ) ).
fof(t29_connsp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  ( (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_connsp_1(A, B, C)) ) ) )  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_connsp_1(A, B, C)) ) ) ) ) ) ) ).
fof(t30_connsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_connsp_1(A, B, C)) ) ) )  => v1_connsp_1(A)) ) ) ).
fof(t31_connsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ~ ( ( (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(D, C) <=>  (v2_connsp_1(D, A) & r2_tarski(B, D)) ) ) )  & C=k1_xboole_0) ) ) ) ) ) ) ) ).
fof(d5_connsp_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_connsp_1(B, A) <=>  (v2_connsp_1(B, A) &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v2_connsp_1(C, A) & r1_tarski(B, C))  => B=C) ) ) ) ) ) ) ) ) ).
fof(t32_connsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v3_connsp_1(B, A) & B=k1_struct_0(A)) ) ) ) ) ) ).
fof(t33_connsp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_connsp_1(B, A) => v4_pre_topc(B, A)) ) ) ) ) ).
fof(t34_connsp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v3_connsp_1(B, A) &  (v3_connsp_1(C, A) &  ( ~ (B=C)  &  ~ (r1_connsp_1(A, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_connsp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v3_connsp_1(B, A) &  (v3_connsp_1(C, A) &  ( ~ (B=C)  &  ~ (r1_xboole_0(B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_connsp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_connsp_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v3_connsp_1(C, A) &  ( ~ (r1_xboole_0(B, C))  &  ~ (r1_tarski(B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_connsp_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r3_connsp_1(A, B, C) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k1_pre_topc(A, B)))) &  (D=C & v3_connsp_1(D, k1_pre_topc(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(t37_connsp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_connsp_1(A) &  (v2_connsp_1(B, A) & r3_connsp_1(A, k7_subset_1(u1_struct_0(A), k2_struct_0(A), B), C)) )  => v2_connsp_1(k7_subset_1(u1_struct_0(A), k2_struct_0(A), C), A)) ) ) ) ) ) ) ).
fof(d7_connsp_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (C=k1_connsp_1(A, B) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) &  ( (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(E, D) <=>  (v2_connsp_1(E, A) & r2_tarski(B, E)) ) ) )  & k5_setfam_1(u1_struct_0(A), D)=C) ) ) ) ) ) ) ) ) ) ).
fof(t38_connsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r2_tarski(B, k1_connsp_1(A, B))) ) ) ) ).
fof(t39_connsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v2_connsp_1(B, A) & r1_tarski(k1_connsp_1(A, C), B))  => B=k1_connsp_1(A, C)) ) ) ) ) ) ) ).
fof(t40_connsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_connsp_1(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & B=k1_connsp_1(A, C)) ) ) ) ) ) ) ).
fof(t41_connsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v3_connsp_1(B, A) & r2_tarski(C, B))  => B=k1_connsp_1(A, C)) ) ) ) ) ) ) ).
fof(t42_connsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, k1_connsp_1(A, B)) => k1_connsp_1(A, C)=k1_connsp_1(A, B)) ) ) ) ) ) ) ).
fof(t43_connsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ( (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(C, B) <=> v3_connsp_1(C, A)) ) )  => m1_setfam_1(B, u1_struct_0(A))) ) ) ) ) ).
fof(t44_connsp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_connsp_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  <=>  (v2_connsp_1(B, g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)))))) ) ) ) ) ).
fof(t45_connsp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))))) =>  (B=C =>  (v3_connsp_1(B, A) <=> v3_connsp_1(C, g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)))) ) ) ) ) ) ) ) ).
fof(t46_connsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k1_pre_topc(A, C)))) =>  ( (B=D & v2_connsp_1(B, A))  => v2_connsp_1(D, k1_pre_topc(A, C))) ) ) ) ) ) ) ) ) ).
fof(symmetry_r1_connsp_1, axiom,  (! [A, B, C] :  ( (l1_pre_topc(A) &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (r1_connsp_1(A, B, C) => r1_connsp_1(A, C, B)) ) ) ).
fof(dt_k1_connsp_1, axiom,  (! [A, B] :  ( (l1_pre_topc(A) & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k1_connsp_1(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(d1_connsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (m1_connsp_2(C, A, B) <=> r2_tarski(B, k1_tops_1(A, C))) ) ) ) ) ) ) ).
fof(d2_connsp_2, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (m2_connsp_2(C, A, B) <=> r1_tarski(B, k1_tops_1(A, C))) ) ) ) ) ) ) ).
fof(t1_connsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (m1_connsp_2(C, A, B) & m1_connsp_2(D, A, B))  => m1_connsp_2(k4_subset_1(u1_struct_0(A), C, D), A, B)) ) ) ) ) ) ) ) ) ).
fof(t2_connsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (m1_connsp_2(C, A, B) & m1_connsp_2(D, A, B))  <=> m1_connsp_2(k9_subset_1(u1_struct_0(A), C, D), A, B)) ) ) ) ) ) ) ) ) ).
fof(t3_connsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v3_pre_topc(B, A) & r2_tarski(C, B))  => m1_connsp_2(B, A, C)) ) ) ) ) ) ) ).
fof(t4_connsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (m1_connsp_2(B, A, C) => r2_tarski(C, B)) ) ) ) ) ) ) ).
fof(t5_connsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (m1_connsp_2(C, A, B) &  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( (m1_connsp_2(D, A, B) &  (v3_pre_topc(D, A) & r1_tarski(D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_connsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (m1_connsp_2(C, A, B) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) &  (v3_pre_topc(D, A) &  (r1_tarski(D, C) & r2_tarski(B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_connsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_pre_topc(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r2_tarski(C, B) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (m1_connsp_2(D, A, C) & r1_tarski(D, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_connsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (m2_connsp_2(C, A, k6_domain_1(u1_struct_0(A), B)) <=> m1_connsp_2(C, A, B)) ) ) ) ) ) ) ).
fof(t9_connsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_pre_topc(A, B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k1_pre_topc(A, B)))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (v3_pre_topc(B, A) &  (m1_connsp_2(D, k1_pre_topc(A, B), C) &  (D=E & C=F) ) )  => m1_connsp_2(E, A, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_connsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_pre_topc(A, B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k1_pre_topc(A, B)))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (m1_connsp_2(E, A, F) &  (D=E & C=F) )  => m1_connsp_2(D, k1_pre_topc(A, B), C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_connsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v3_connsp_1(B, A) & r1_tarski(B, C))  => r3_connsp_1(A, C, B)) ) ) ) ) ) ) ).
fof(t12_connsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m1_pre_topc(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (C=D => r1_tarski(k1_connsp_1(B, D), k1_connsp_1(A, C))) ) ) ) ) ) ) ) ) ).
fof(d3_connsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (r1_connsp_2(A, B) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (m1_connsp_2(C, A, B) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (m1_connsp_2(D, A, B) &  (v2_connsp_1(D, A) & r1_tarski(D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_connsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v1_connsp_2(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_connsp_2(A, B)) ) ) ) ) ).
fof(d5_connsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_connsp_2(A, B, C) <=>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( (B=D &  (! [E] :  (m1_subset_1(E, u1_struct_0(k1_pre_topc(A, D))) =>  ~ ( (E=C & r1_connsp_2(k1_pre_topc(A, D), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_connsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v2_connsp_2(B, A) <=> v1_connsp_2(k1_pre_topc(A, B))) ) ) ) ) ).
fof(t13_connsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (r1_connsp_2(A, B) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (m1_connsp_2(C, A, B) &  (r3_connsp_1(A, C, D) & r2_tarski(B, D)) )  => m1_connsp_2(D, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t14_connsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (r1_connsp_2(A, B) <=>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( (v3_pre_topc(C, A) &  (r2_tarski(B, C) &  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_pre_topc(A, C))) =>  ~ ( (D=B & r2_tarski(B, k1_tops_1(k1_pre_topc(A, C), k1_connsp_1(k1_pre_topc(A, C), D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_connsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v1_connsp_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_connsp_1(B, A) => v3_pre_topc(B, A)) ) ) ) ) ) ).
fof(t16_connsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (r1_connsp_2(A, B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  ( (v3_pre_topc(C, A) & r2_tarski(B, C))  => r2_connsp_2(A, C, B)) ) ) ) ) ) ) ) ).
fof(t17_connsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v1_connsp_2(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v3_pre_topc(B, A) => v2_connsp_2(B, A)) ) ) ) ) ) ).
fof(t18_connsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v1_connsp_2(A) <=>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v3_pre_topc(B, A) & r3_connsp_1(A, B, C))  => v3_pre_topc(C, A)) ) ) ) ) ) ) ) ).
fof(t19_connsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v1_connsp_2(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k1_pre_topc(A, B)))))  =>  ~ ( (v2_connsp_1(C, k1_pre_topc(A, B)) &  (v3_pre_topc(C, k1_pre_topc(A, B)) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v3_pre_topc(D, A) &  (v2_connsp_1(D, A) & C=k9_subset_1(u1_struct_0(A), B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_connsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v10_pre_topc(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( ~ (B=k1_xboole_0)  &  ( ~ (C=k2_struct_0(A))  &  (r1_tarski(B, C) &  (v4_pre_topc(B, A) &  (v3_pre_topc(C, A) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v3_pre_topc(D, A) &  (r1_tarski(B, D) & r1_tarski(k2_pre_topc(A, D), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_connsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( (v1_connsp_2(A) & v10_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( ~ (B=k1_xboole_0)  &  ( ~ (C=k1_xboole_0)  &  (v4_pre_topc(B, A) &  (v4_pre_topc(C, A) &  (r1_xboole_0(B, C) &  (v2_connsp_1(B, A) &  (v2_connsp_1(C, A) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v2_connsp_1(D, A) &  (v2_connsp_1(E, A) &  (v3_pre_topc(D, A) &  (v3_pre_topc(E, A) &  (r1_tarski(B, D) &  (r1_tarski(C, E) & r1_xboole_0(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_connsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ~ ( ( (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(D, C) <=>  (v3_pre_topc(D, A) &  (v4_pre_topc(D, A) & r2_tarski(B, D)) ) ) ) )  & C=k1_xboole_0) ) ) ) ) ) ) ) ).
fof(d7_connsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (C=k1_connsp_2(A, B) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) &  ( (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(E, D) <=>  (v3_pre_topc(E, A) &  (v4_pre_topc(E, A) & r2_tarski(B, E)) ) ) ) )  & k6_setfam_1(u1_struct_0(A), D)=C) ) ) ) ) ) ) ) ) ) ).
fof(t23_connsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r2_tarski(B, k1_connsp_2(A, B))) ) ) ) ).
fof(t24_connsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v3_pre_topc(C, A) &  (v4_pre_topc(C, A) &  (r2_tarski(B, C) & r1_tarski(C, k1_connsp_2(A, B))) ) )  => C=k1_connsp_2(A, B)) ) ) ) ) ) ) ).
fof(t25_connsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v4_pre_topc(k1_connsp_2(A, B), A)) ) ) ) ).
fof(t26_connsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_tarski(k1_connsp_1(A, B), k1_connsp_2(A, B))) ) ) ) ).
fof(t27_connsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, k2_pre_topc(A, B)) <=>  (! [D] :  (m1_connsp_2(D, A, C) =>  ~ (r1_xboole_0(D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t28_connsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => m2_connsp_2(k2_struct_0(A), A, B)) ) ) ) ).
fof(t29_connsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m2_connsp_2(C, A, B) => r1_tarski(B, C)) ) ) ) ) ) ).
fof(dt_m1_connsp_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (! [C] :  (m1_connsp_2(C, A, B) => m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ).
fof(existence_m1_connsp_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (? [C] : m1_connsp_2(C, A, B)) ) ) ).
fof(dt_m2_connsp_2, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m2_connsp_2(C, A, B) => m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ).
fof(existence_m2_connsp_2, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (? [C] : m2_connsp_2(C, A, B)) ) ) ).
fof(dt_k1_connsp_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k1_connsp_2(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(rc1_connsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (? [B] :  (m1_connsp_3(B, A) &  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(d1_connsp_3, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (C=k1_connsp_3(A, B) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) &  ( (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(E, D) <=>  (v2_connsp_1(E, A) & r1_tarski(B, E)) ) ) )  & k5_setfam_1(u1_struct_0(A), D)=C) ) ) ) ) ) ) ) ) ) ).
fof(t1_connsp_3, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) &  (v2_connsp_1(C, A) & r1_tarski(B, C)) ) )  => r1_tarski(B, k1_connsp_3(A, B))) ) ) ) ) ).
fof(t2_connsp_3, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v2_connsp_1(C, A) & r1_tarski(B, C)) ) ) )  => k1_connsp_3(A, B)=k1_xboole_0) ) ) ) ) ).
fof(t3_connsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => k1_connsp_3(A, k1_struct_0(A))=u1_struct_0(A)) ) ).
fof(t4_connsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v2_connsp_1(B, A) & k1_connsp_3(A, B)=k1_xboole_0) ) ) ) ) ) ).
fof(t5_connsp_3, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_connsp_1(B, A) =>  (B=k1_xboole_0 | v2_connsp_1(k1_connsp_3(A, B), A)) ) ) ) ) ) ).
fof(t6_connsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v2_connsp_1(B, A) &  (v2_connsp_1(C, A) & r1_tarski(k1_connsp_3(A, B), C)) )  => C=k1_connsp_3(A, B)) ) ) ) ) ) ) ).
fof(t7_connsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_connsp_1(B, A) => k1_connsp_3(A, B)=B) ) ) ) ) ).
fof(t8_connsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_connsp_1(B, A) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) &  (v2_connsp_1(C, A) &  ( ~ (C=k1_xboole_0)  & B=k1_connsp_3(A, C)) ) ) ) ) ) ) ) ) ).
fof(t9_connsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_connsp_1(B, A) =>  (B=k1_xboole_0 | v3_connsp_1(k1_connsp_3(A, B), A)) ) ) ) ) ) ).
fof(t10_connsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v3_connsp_1(B, A) &  (v2_connsp_1(C, A) & r1_tarski(C, B)) )  =>  (C=k1_xboole_0 | B=k1_connsp_3(A, C)) ) ) ) ) ) ) ) ).
fof(t11_connsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_connsp_1(B, A) =>  (B=k1_xboole_0 | k1_connsp_3(A, k1_connsp_3(A, B))=k1_connsp_3(A, B)) ) ) ) ) ) ).
fof(t12_connsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v2_connsp_1(B, A) &  (v2_connsp_1(C, A) & r1_tarski(B, C)) )  =>  (B=k1_xboole_0 | k1_connsp_3(A, B)=k1_connsp_3(A, C)) ) ) ) ) ) ) ) ).
fof(t13_connsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v2_connsp_1(B, A) &  (v2_connsp_1(C, A) & r1_tarski(B, C)) )  =>  (B=k1_xboole_0 | r1_tarski(C, k1_connsp_3(A, B))) ) ) ) ) ) ) ) ).
fof(t14_connsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v2_connsp_1(B, A) & v2_connsp_1(k4_subset_1(u1_struct_0(A), B, C), A))  =>  (B=k1_xboole_0 | r1_tarski(k4_subset_1(u1_struct_0(A), B, C), k1_connsp_3(A, B))) ) ) ) ) ) ) ) ).
fof(t15_connsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v2_connsp_1(B, A) & r2_tarski(C, B))  => k1_connsp_1(A, C)=k1_connsp_3(A, B)) ) ) ) ) ) ) ).
fof(t16_connsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v2_connsp_1(B, A) & v2_connsp_1(C, A))  =>  (r1_xboole_0(B, C) |  (r1_tarski(k4_subset_1(u1_struct_0(A), B, C), k1_connsp_3(A, B)) &  (r1_tarski(k4_subset_1(u1_struct_0(A), B, C), k1_connsp_3(A, C)) &  (r1_tarski(B, k1_connsp_3(A, C)) & r1_tarski(C, k1_connsp_3(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_connsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_connsp_1(B, A) =>  (B=k1_xboole_0 | r1_tarski(k2_pre_topc(A, B), k1_connsp_3(A, B))) ) ) ) ) ) ).
fof(t18_connsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v3_connsp_1(B, A) &  (v2_connsp_1(C, A) & r1_xboole_0(B, C)) )  =>  (C=k1_xboole_0 | r1_xboole_0(B, k1_connsp_3(A, C))) ) ) ) ) ) ) ) ).
fof(d2_connsp_3, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (m1_connsp_3(B, A) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) &  ( (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(D, C) => v3_connsp_1(D, A)) ) )  & B=k5_setfam_1(u1_struct_0(A), C)) ) ) ) ) ) ) ) ).
fof(t19_connsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => m1_connsp_3(k1_struct_0(A), A)) ) ).
fof(t20_connsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (B=u1_struct_0(A) => m1_connsp_3(B, A)) ) ) ) ) ).
fof(t21_connsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & m1_connsp_3(B, A))  => r1_tarski(k1_connsp_1(A, C), B)) ) ) ) ) ) ) ).
fof(t22_connsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (m1_connsp_3(B, A) & m1_connsp_3(C, A))  =>  (m1_connsp_3(k4_subset_1(u1_struct_0(A), B, C), A) & m1_connsp_3(k9_subset_1(u1_struct_0(A), B, C), A)) ) ) ) ) ) ) ) ).
fof(t23_connsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ( (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(C, B) => m1_connsp_3(C, A)) ) )  => m1_connsp_3(k5_setfam_1(u1_struct_0(A), B), A)) ) ) ) ) ).
fof(t24_connsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ( (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(C, B) => m1_connsp_3(C, A)) ) )  => m1_connsp_3(k6_setfam_1(u1_struct_0(A), B), A)) ) ) ) ) ).
fof(t25_connsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (m1_connsp_3(B, A) & m1_connsp_3(C, A))  => m1_connsp_3(k7_subset_1(u1_struct_0(A), B, C), A)) ) ) ) ) ) ) ).
fof(d3_connsp_3, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) => k2_connsp_3(A, B, C)=C) ) ) ) ) ) ) ).
fof(d4_connsp_3, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_pre_topc(A, B))) =>  ( ~ (B=k1_xboole_0)  => k3_connsp_3(A, B, C)=C) ) ) ) ) ) ) ).
fof(d5_connsp_3, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k4_connsp_3(A, B, C)=k9_subset_1(u1_struct_0(A), B, C)) ) ) ) ) ) ).
fof(d6_connsp_3, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k1_pre_topc(A, B)))) => k5_connsp_3(A, B, C)=C) ) ) ) ) ) ).
fof(d7_connsp_3, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (D=k6_connsp_3(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(k1_pre_topc(A, B))) =>  (E=C => D=k1_connsp_1(k1_pre_topc(A, B), E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_connsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) => r2_tarski(C, k6_connsp_3(A, B, C))) ) ) ) ) ) ) ).
fof(t27_connsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) => k6_connsp_3(A, B, C)=k1_connsp_1(k1_pre_topc(A, B), k2_connsp_3(A, B, C))) ) ) ) ) ) ) ).
fof(t28_connsp_3, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_pre_topc(B, A) => v3_pre_topc(k4_connsp_3(A, B, C), k1_pre_topc(A, C))) ) ) ) ) ) ) ).
fof(t29_connsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(B, C) => k2_pre_topc(k1_pre_topc(A, C), k4_connsp_3(A, B, C))=k9_subset_1(u1_struct_0(A), k2_pre_topc(A, B), C)) ) ) ) ) ) ) ).
fof(t30_connsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k1_pre_topc(A, B)))) => k2_pre_topc(k1_pre_topc(A, B), C)=k9_subset_1(u1_struct_0(A), k2_pre_topc(A, k5_connsp_3(A, B, C)), B)) ) ) ) ) ) ).
fof(t31_connsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(B, C) => r1_tarski(k2_pre_topc(k1_pre_topc(A, C), k4_connsp_3(A, B, C)), k2_pre_topc(A, B))) ) ) ) ) ) ) ).
fof(t32_connsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k1_pre_topc(A, B)))) =>  (r1_tarski(C, B) => k4_connsp_3(A, k5_connsp_3(A, B, C), B)=C) ) ) ) ) ) ) ).
fof(t33_connsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) => v2_connsp_1(k6_connsp_3(A, B, C), A)) ) ) ) ) ) ) ).
fof(t34_connsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_connsp_3(B, A))  =>  (v2_connsp_1(B, A) => v3_connsp_1(B, A)) ) ) ) ) ).
fof(dt_k1_connsp_3, axiom,  (! [A, B] :  ( (l1_pre_topc(A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k1_connsp_3(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_m1_connsp_3, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_connsp_3(B, A) => m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ).
fof(existence_m1_connsp_3, axiom,  (! [A] :  (l1_pre_topc(A) =>  (? [B] : m1_connsp_3(B, A)) ) ) ).
fof(dt_k2_connsp_3, axiom,  (! [A, B, C] :  ( (l1_pre_topc(A) &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k2_connsp_3(A, B, C), u1_struct_0(k1_pre_topc(A, B)))) ) ).
fof(dt_k3_connsp_3, axiom,  (! [A, B, C] :  ( (l1_pre_topc(A) &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, u1_struct_0(k1_pre_topc(A, B)))) )  => m1_subset_1(k3_connsp_3(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k4_connsp_3, axiom,  (! [A, B, C] :  ( (l1_pre_topc(A) &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k4_connsp_3(A, B, C), k1_zfmisc_1(u1_struct_0(k1_pre_topc(A, C))))) ) ).
fof(dt_k5_connsp_3, axiom,  (! [A, B, C] :  ( (l1_pre_topc(A) &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k1_pre_topc(A, B))))) )  => m1_subset_1(k5_connsp_3(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k6_connsp_3, axiom,  (! [A, B, C] :  ( (l1_pre_topc(A) &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k6_connsp_3(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(rc1_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  & v1_convex1(B, A)) ) ) ) ) ).
fof(rc2_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  (v1_xboole_0(B) & v1_convex1(B, A)) ) ) ) ) ).
fof(fc1_convex1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  &  ( (v1_convex1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  (v1_convex1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  => v1_convex1(k3_xboole_0(B, C), A)) ) ).
fof(fc2_convex1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ (v1_xboole_0(k2_convex1(A, B))) ) ) ).
fof(d2_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_convex1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xreal_0(E) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  =>  (r1_xxreal_0(E, k5_numbers) |  (r1_xxreal_0(1, E) | r2_tarski(k1_algstr_0(A, k1_rlvect_1(A, C, E), k1_rlvect_1(A, D, k6_xcmplx_0(1, E))), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (v1_xreal_0(C) =>  (v1_convex1(B, A) => v1_convex1(k1_convex1(A, B, C), A)) ) ) ) ) ) ) ).
fof(t2_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_convex1(B, A) & v1_convex1(C, A))  => v1_convex1(k7_rusub_4(A, B, C), A)) ) ) ) ) ) ) ).
fof(t3_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_convex1(B, A) & v1_convex1(C, A))  => v1_convex1(k1_rusub_5(A, B, C), A)) ) ) ) ) ) ) ).
fof(t4_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_convex1(B, A) <=>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  ( ~ (r1_xxreal_0(1, C))  &  ~ (r1_tarski(k6_rusub_4(A, k1_convex1(A, B, C), k1_convex1(A, B, k6_xcmplx_0(1, C))), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) & l1_rlvect_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_convex1(B, A) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  ( ~ (r1_xxreal_0(1, C))  &  ~ (r1_tarski(k7_rusub_4(A, k1_convex1(A, B, k6_xcmplx_0(1, C)), k1_convex1(A, B, C)), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_convex1(B, A) & v1_convex1(C, A))  =>  (! [D] :  (v1_xreal_0(D) => v1_convex1(k7_rusub_4(A, k1_convex1(A, B, D), k1_convex1(A, C, k6_xcmplx_0(1, D))), A)) ) ) ) ) ) ) ) ) ).
fof(t7_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v1_convex1(B, A) <=> v1_convex1(k5_rusub_4(A, B, C), A)) ) ) ) ) ) ) ).
fof(t8_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  => v1_convex1(k3_rusub_4(A, k1_rlsub_1(A)), A)) ) ).
fof(t9_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  => v1_convex1(k3_rusub_4(A, k2_rlsub_1(A)), A)) ) ).
fof(t10_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (B=k1_xboole_0 => v1_convex1(B, A)) ) ) ) ) ).
fof(t11_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ( (v1_convex1(B, A) & v1_convex1(C, A))  => v1_convex1(k7_rusub_4(A, k1_convex1(A, B, D), k1_convex1(A, C, E)), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => r1_tarski(k1_convex1(A, B, k2_xcmplx_0(C, D)), k6_rusub_4(A, k1_convex1(A, B, C), k1_convex1(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t13_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(k5_numbers, C) &  (r1_xxreal_0(k5_numbers, D) & v1_convex1(B, A)) )  => k7_rusub_4(A, k1_convex1(A, B, C), k1_convex1(A, B, D))=k1_convex1(A, B, k2_xcmplx_0(C, D))) ) ) ) ) ) ) ) ) ).
fof(t14_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ( (v1_convex1(B, A) &  (v1_convex1(C, A) & v1_convex1(D, A)) )  => v1_convex1(k7_rusub_4(A, k7_rusub_4(A, k1_convex1(A, B, E), k1_convex1(A, C, F)), k1_convex1(A, D, G)), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ( (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(C, B) => v1_convex1(C, A)) ) )  => v1_convex1(k6_setfam_1(u1_struct_0(A), B), A)) ) ) ) ) ).
fof(t16_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_rusub_4(B, A) => v1_convex1(B, A)) ) ) ) ) ).
fof(d3_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (v2_convex1(B, A) <=>  (? [C] :  (m2_finseq_1(C, u1_struct_0(A)) &  (v2_funct_1(C) &  (k10_xtuple_0(C)=k3_rlvect_2(A, B) &  (? [D] :  (m2_finseq_1(D, k1_numbers) &  (k3_finseq_1(D)=k3_finseq_1(C) &  (k18_rvsum_1(D)=1 &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) =>  (k1_funct_1(D, E)=k1_funct_1(B, k1_funct_1(C, E)) & r1_xxreal_0(k5_numbers, k1_funct_1(D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) =>  ~ ( (v2_convex1(B, A) & k3_rlvect_2(A, B)=k1_xboole_0) ) ) ) ) ) ).
fof(t22_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (v2_convex1(B, A) &  (r1_xxreal_0(k1_funct_1(B, C), k5_numbers) & r2_tarski(C, k3_rlvect_2(A, B))) ) ) ) ) ) ) ) ) ).
fof(t23_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) =>  ~ ( (v2_convex1(B, A) & B=k4_rlvect_2(A)) ) ) ) ) ) ).
fof(t24_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_rlvect_2(C, A, k6_domain_1(u1_struct_0(A), B)) =>  (v2_convex1(C, A) =>  (k1_funct_1(C, B)=1 & k6_rlvect_2(A, C)=k1_rlvect_1(A, B, k1_funct_1(C, B))) ) ) ) ) ) ) ) ).
fof(t25_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_rlvect_2(D, A, k7_domain_1(u1_struct_0(A), B, C)) =>  (v2_convex1(D, A) =>  (B=C |  (k2_xcmplx_0(k1_funct_1(D, B), k1_funct_1(D, C))=1 &  (r1_xxreal_0(k5_numbers, k1_funct_1(D, B)) &  (r1_xxreal_0(k5_numbers, k1_funct_1(D, C)) & k6_rlvect_2(A, D)=k3_rlvect_1(A, k1_rlvect_1(A, B, k1_funct_1(D, B)), k1_rlvect_1(A, C, k1_funct_1(D, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m2_rlvect_2(E, A, k8_domain_1(u1_struct_0(A), B, C, D)) =>  (v2_convex1(E, A) =>  (B=C |  (C=D |  (D=B |  (k2_xcmplx_0(k2_xcmplx_0(k1_funct_1(E, B), k1_funct_1(E, C)), k1_funct_1(E, D))=1 &  (r1_xxreal_0(k5_numbers, k1_funct_1(E, B)) &  (r1_xxreal_0(k5_numbers, k1_funct_1(E, C)) &  (r1_xxreal_0(k5_numbers, k1_funct_1(E, D)) & k6_rlvect_2(A, E)=k3_rlvect_1(A, k3_rlvect_1(A, k1_rlvect_1(A, B, k1_funct_1(E, B)), k1_rlvect_1(A, C, k1_funct_1(E, C))), k1_rlvect_1(A, D, k1_funct_1(E, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_rlvect_2(C, A) =>  ( (v2_convex1(C, A) & k3_rlvect_2(A, C)=k6_domain_1(u1_struct_0(A), B))  => k1_funct_1(C, B)=1) ) ) ) ) ) ) ).
fof(t28_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_rlvect_2(D, A) =>  ( (v2_convex1(D, A) & k3_rlvect_2(A, D)=k7_domain_1(u1_struct_0(A), B, C))  =>  (B=C |  (k2_xcmplx_0(k1_funct_1(D, B), k1_funct_1(D, C))=1 &  (r1_xxreal_0(k5_numbers, k1_funct_1(D, B)) & r1_xxreal_0(k5_numbers, k1_funct_1(D, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_rlvect_2(E, A) =>  ( (v2_convex1(E, A) & k3_rlvect_2(A, E)=k8_domain_1(u1_struct_0(A), B, C, D))  =>  (B=C |  (C=D |  (D=B |  (k2_xcmplx_0(k2_xcmplx_0(k1_funct_1(E, B), k1_funct_1(E, C)), k1_funct_1(E, D))=1 &  (r1_xxreal_0(k5_numbers, k1_funct_1(E, B)) &  (r1_xxreal_0(k5_numbers, k1_funct_1(E, C)) &  (r1_xxreal_0(k5_numbers, k1_funct_1(E, D)) & k6_rlvect_2(A, E)=k3_rlvect_1(A, k3_rlvect_1(A, k1_rlvect_1(A, B, k1_funct_1(E, B)), k1_rlvect_1(A, C, k1_funct_1(E, C))), k1_rlvect_1(A, D, k1_funct_1(E, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (C=k2_convex1(A, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(D, C) <=>  (v1_convex1(D, A) & r1_tarski(B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k3_convex1(A, B)=k6_setfam_1(u1_struct_0(A), k2_convex1(A, B))) ) ) ) ).
fof(t30_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v1_convex1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (r1_tarski(B, C) => r1_tarski(k3_convex1(A, B), C)) ) ) ) ) ) ) ).
fof(t31_convex1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (! [C] :  (! [D] :  ~ ( (v2_funct_1(A) &  (k10_xtuple_0(A)=k1_enumset1(B, C, D) &  ( ~ (B=C)  &  ( ~ (C=D)  &  ( ~ (D=B)  &  ( ~ (A=k11_finseq_1(B, C, D))  &  ( ~ (A=k11_finseq_1(B, D, C))  &  ( ~ (A=k11_finseq_1(C, B, D))  &  ( ~ (A=k11_finseq_1(C, D, B))  &  ( ~ (A=k11_finseq_1(D, B, C))  &  ~ (A=k11_finseq_1(D, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k1_convex1(A, B, 1)=B) ) ) ) ).
fof(t33_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  ( (v1_xboole_0(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (v1_xreal_0(C) => k1_convex1(A, B, C)=k1_xboole_0) ) ) ) ) ) ).
fof(t34_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => k1_convex1(A, B, k5_numbers)=k6_domain_1(u1_struct_0(A), k4_struct_0(A))) ) ) ) ).
fof(t35_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_rlvect_1(A) & l2_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k6_rusub_4(A, B, k6_domain_1(u1_struct_0(A), k4_struct_0(A)))=B) ) ) ) ).
fof(t36_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) & l2_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => k6_rusub_4(A, k6_rusub_4(A, B, C), D)=k6_rusub_4(A, B, k6_rusub_4(A, C, D))) ) ) ) ) ) ) ) ).
fof(t37_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => k1_convex1(A, k1_convex1(A, B, D), C)=k1_convex1(A, B, k3_xcmplx_0(C, D))) ) ) ) ) ) ) ) ).
fof(t38_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (v1_xreal_0(D) => k1_convex1(A, k6_rusub_4(A, B, C), D)=k6_rusub_4(A, k1_convex1(A, B, D), k1_convex1(A, C, D))) ) ) ) ) ) ) ) ).
fof(t39_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (v1_xreal_0(D) =>  (r1_tarski(B, C) => r1_tarski(k1_convex1(A, B, D), k1_convex1(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t40_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( (v1_xboole_0(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k6_rusub_4(A, B, C)=k1_xboole_0) ) ) ) ) ) ).
fof(t41_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(B, k3_convex1(A, B))) ) ) ) ).
fof(dt_k1_convex1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v1_xreal_0(C)) )  => m1_subset_1(k1_convex1(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k2_convex1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k2_convex1(A, B), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k3_convex1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_convex1(k3_convex1(A, B), A) & m1_subset_1(k3_convex1(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ) ).
fof(d1_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (v1_xreal_0(C) => k1_convex1(A, B, C)=a_3_0_convex1(A, B, C)) ) ) ) ) ) ).
fof(t17_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_bhsp_1(A) & l1_bhsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (B=a_3_1_convex1(A, C, D) => v1_convex1(B, A)) ) ) ) ) ) ) ) ) ).
fof(t18_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_bhsp_1(A) & l1_bhsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (B=a_3_2_convex1(A, C, D) => v1_convex1(B, A)) ) ) ) ) ) ) ) ) ).
fof(t19_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_bhsp_1(A) & l1_bhsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (B=a_3_3_convex1(A, C, D) => v1_convex1(B, A)) ) ) ) ) ) ) ) ) ).
fof(t20_convex1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_bhsp_1(A) & l1_bhsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (B=a_3_4_convex1(A, C, D) => v1_convex1(B, A)) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_convex1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  & l1_rlvect_1(B))  &  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_0_convex1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k1_rlvect_1(B, E, D) & r2_tarski(E, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_1_convex1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_bhsp_1(B) & l1_bhsp_1(B)) )  &  (m1_subset_1(C, u1_struct_0(B)) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_1_convex1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E & r1_xxreal_0(D, k1_bhsp_1(B, E, C))) ) ) ) ) ) ).
fof(fraenkel_a_3_2_convex1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_bhsp_1(B) & l1_bhsp_1(B)) )  &  (m1_subset_1(C, u1_struct_0(B)) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_2_convex1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E &  ~ (r1_xxreal_0(k1_bhsp_1(B, E, C), D)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_3_convex1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_bhsp_1(B) & l1_bhsp_1(B)) )  &  (m1_subset_1(C, u1_struct_0(B)) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_3_convex1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E & r1_xxreal_0(k1_bhsp_1(B, E, C), D)) ) ) ) ) ) ).
fof(fraenkel_a_3_4_convex1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_bhsp_1(B) & l1_bhsp_1(B)) )  &  (m1_subset_1(C, u1_struct_0(B)) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_4_convex1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E &  ~ (r1_xxreal_0(D, k1_bhsp_1(B, E, C))) ) ) ) ) ) ) ).
fof(rc1_convex2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_rlvect_2(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v5_relat_1(B, k1_numbers) &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) & v2_convex1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_convex2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (? [C] :  (m2_rlvect_2(C, A, B) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v5_relat_1(C, k1_numbers) &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) &  (v1_valued_0(C) &  (v2_valued_0(C) &  (v3_valued_0(C) & v2_convex1(C, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_convex2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  ( (v1_convex1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v1_convex1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  => v1_convex1(k9_subset_1(u1_struct_0(A), B, C), A)) ) ) ) ) ) ).
fof(t6_convex2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m2_rlvect_2(D, A, C) =>  ( (v2_convex1(D, A) & r1_tarski(C, B))  => r2_tarski(k6_rlvect_2(A, D), B)) ) ) ) )  <=> v1_convex1(B, A)) ) ) ) ) ).
fof(d1_convex2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (C=k1_convex2(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=> m2_rlvect_2(D, A, B)) ) ) ) ) ) ) ) ).
fof(t7_convex2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ (k2_convex1(A, B)=k1_xboole_0) ) ) ) ) ).
fof(t8_convex2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v2_convex1(B, A) & m1_rlvect_2(B, A))  =>  (! [C] :  ( (v2_convex1(C, A) & m1_rlvect_2(C, A))  =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  ( ~ (r1_xxreal_0(1, D))  &  ~ ( (v2_convex1(k7_rlvect_2(A, k8_rlvect_2(A, D, B), k8_rlvect_2(A, k6_xcmplx_0(1, D), C)), A) & m1_rlvect_2(k7_rlvect_2(A, k8_rlvect_2(A, D, B), k8_rlvect_2(A, k6_xcmplx_0(1, D), C)), A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_convex2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v2_convex1(C, A) & m2_rlvect_2(C, A, B))  =>  (! [D] :  ( (v2_convex1(D, A) & m2_rlvect_2(D, A, B))  =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  ( ~ (r1_xxreal_0(1, E))  &  ~ ( (v2_convex1(k7_rlvect_2(A, k8_rlvect_2(A, E, C), k8_rlvect_2(A, k6_xcmplx_0(1, E), D)), A) & m2_rlvect_2(k7_rlvect_2(A, k8_rlvect_2(A, E, C), k8_rlvect_2(A, k6_xcmplx_0(1, E), D)), A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_convex2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) => k3_rusub_4(A, k1_rlsub_2(A, B, C))=k7_rusub_4(A, k3_rusub_4(A, B), k3_rusub_4(A, C))) ) ) ) ) ) ).
fof(t11_convex2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) => k3_rusub_4(A, k2_rlsub_2(A, B, C))=k9_subset_1(u1_struct_0(A), k3_rusub_4(A, B), k3_rusub_4(A, C))) ) ) ) ) ) ).
fof(t12_convex2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v2_convex1(B, A) & m1_rlvect_2(B, A))  =>  (! [C] :  ( (v2_convex1(C, A) & m1_rlvect_2(C, A))  =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ( ~ (r1_xxreal_0(k3_xcmplx_0(D, E), k5_numbers))  => k3_rlvect_2(A, k7_rlvect_2(A, k8_rlvect_2(A, D, B), k8_rlvect_2(A, E, C)))=k4_subset_1(u1_struct_0(A), k3_rlvect_2(A, k8_rlvect_2(A, D, B)), k3_rlvect_2(A, k8_rlvect_2(A, E, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_convex2, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_classes1(A, B) =>  (! [C] :  (! [D] :  ~ ( (r2_tarski(C, k9_xtuple_0(A)) &  (r2_tarski(D, k9_xtuple_0(A)) &  ( ~ (C=D)  &  (! [E] :  (! [F] :  ~ ( (r2_tarski(E, k9_xtuple_0(B)) &  (r2_tarski(F, k9_xtuple_0(B)) &  ( ~ (E=F)  &  (k1_funct_1(A, C)=k1_funct_1(B, E) & k1_funct_1(A, D)=k1_funct_1(B, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_convex2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r1_tarski(C, k3_rlvect_2(A, B)) &  (! [D] :  (m1_rlvect_2(D, A) =>  ~ (k3_rlvect_2(A, D)=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_convex2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_bhsp_1(A) & l1_bhsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  (B=a_3_0_convex2(A, C, D) => v1_convex1(B, A)) ) ) ) ) ) ) ) ) ).
fof(t3_convex2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_bhsp_1(A) & l1_bhsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  (B=a_3_1_convex2(A, C, D) => v1_convex1(B, A)) ) ) ) ) ) ) ) ) ).
fof(t4_convex2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_bhsp_1(A) & l1_bhsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  (B=a_3_2_convex2(A, C, D) => v1_convex1(B, A)) ) ) ) ) ) ) ) ) ).
fof(t5_convex2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_bhsp_1(A) & l1_bhsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  (B=a_3_3_convex2(A, C, D) => v1_convex1(B, A)) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_convex2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_bhsp_1(B) & l1_bhsp_1(B)) )  &  (m2_finseq_1(C, u1_struct_0(B)) & m2_finseq_1(D, k1_numbers)) )  =>  (r2_hidden(A, a_3_0_convex2(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  ~ ( (r2_tarski(F, k9_subset_1(k4_ordinal1, k4_finseq_1(C), k4_finseq_1(D))) &  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  ~ ( (G=k1_funct_1(C, F) & r1_xxreal_0(k1_bhsp_1(B, E, G), k1_funct_1(D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_convex2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_bhsp_1(B) & l1_bhsp_1(B)) )  &  (m2_finseq_1(C, u1_struct_0(B)) & m2_finseq_1(D, k1_numbers)) )  =>  (r2_hidden(A, a_3_1_convex2(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  ~ ( (r2_tarski(F, k9_subset_1(k4_ordinal1, k4_finseq_1(C), k4_finseq_1(D))) &  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  ~ ( (G=k1_funct_1(C, F) &  ~ (r1_xxreal_0(k1_funct_1(D, F), k1_bhsp_1(B, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_2_convex2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_bhsp_1(B) & l1_bhsp_1(B)) )  &  (m2_finseq_1(C, u1_struct_0(B)) & m2_finseq_1(D, k1_numbers)) )  =>  (r2_hidden(A, a_3_2_convex2(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  ~ ( (r2_tarski(F, k9_subset_1(k4_ordinal1, k4_finseq_1(C), k4_finseq_1(D))) &  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  ~ ( (G=k1_funct_1(C, F) & r1_xxreal_0(k1_funct_1(D, F), k1_bhsp_1(B, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_3_convex2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_bhsp_1(B) & l1_bhsp_1(B)) )  &  (m2_finseq_1(C, u1_struct_0(B)) & m2_finseq_1(D, k1_numbers)) )  =>  (r2_hidden(A, a_3_3_convex2(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  ~ ( (r2_tarski(F, k9_subset_1(k4_ordinal1, k4_finseq_1(C), k4_finseq_1(D))) &  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  ~ ( (G=k1_funct_1(C, F) &  ~ (r1_xxreal_0(k1_bhsp_1(B, E, G), k1_funct_1(D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_convex3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v1_convex3(B, A)) ) ) ) ).
fof(rc2_convex3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  (v1_xboole_0(B) & v1_convex3(B, A)) ) ) ) ) ).
fof(rc3_convex3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  & v1_convex3(B, A)) ) ) ) ) ).
fof(d1_convex3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (B=k1_convex3(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  (v2_convex1(C, A) & m1_rlvect_2(C, A)) ) ) ) ) ) ) ).
fof(d2_convex3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (C=k2_convex3(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (v2_convex1(D, A) & m2_rlvect_2(D, A, B)) ) ) ) ) ) ) ) ) ).
fof(t1_convex3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  ( (v2_convex1(C, A) & m1_rlvect_2(C, A))  &  (k6_rlvect_2(A, C)=B &  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  =>  (r2_tarski(B, D) =>  (v2_convex1(C, A) & m2_rlvect_2(C, A, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_convex3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  (! [D] :  ( (v2_convex1(D, A) & m1_rlvect_2(D, A))  =>  (? [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))))  &  (r1_tarski(k7_domain_1(u1_struct_0(A), B, C), E) &  ~ ( (v2_convex1(D, A) & m2_rlvect_2(D, A, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_convex3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  ( ~ (B=D)  &  ( ~ (C=D)  &  (! [E] :  ( (v2_convex1(E, A) & m1_rlvect_2(E, A))  =>  (? [F] :  ( ( ~ (v1_xboole_0(F))  & m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))))  &  (r1_tarski(k8_domain_1(u1_struct_0(A), B, C, D), F) &  ~ ( (v2_convex1(E, A) & m2_rlvect_2(E, A, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_convex3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_convex3(B, A) <=>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, B) =>  (r1_xxreal_0(C, k5_numbers) | r2_tarski(k1_rlvect_1(A, D, C), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_convex3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (B=k1_xboole_0 => v1_convex3(B, A)) ) ) ) ) ).
fof(t7_convex3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  ( (v1_convex3(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ( (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) & v8_rlvect_1(A)) ) )  =>  (v1_convex1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k1_algstr_0(A, C, D), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_convex3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_convex1(B, A) & v1_convex3(B, A))  <=>  (! [C] :  (m2_rlvect_2(C, A, B) =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(D, k3_rlvect_2(A, C)) & r1_xxreal_0(k3_funct_2(u1_struct_0(A), k1_numbers, C, D), k5_numbers)) ) ) )  =>  (k3_rlvect_2(A, C)=k1_xboole_0 | r2_tarski(k6_rlvect_2(A, C), B)) ) ) ) ) ) ) ) ) ).
fof(t9_convex3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_convex3(B, A) & v1_convex3(C, A))  => v1_convex3(k9_subset_1(u1_struct_0(A), B, C), A)) ) ) ) ) ) ) ).
fof(t4_convex3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_convex1(B, A) <=> r1_tarski(a_2_0_convex3(A, B), B)) ) ) ) ) ).
fof(t5_convex3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => k3_convex1(A, B)=a_2_0_convex3(A, B)) ) ) ) ).
fof(fraenkel_a_2_0_convex3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (r2_hidden(A, a_2_0_convex3(B, C)) <=>  (? [D] :  ( (v2_convex1(D, B) & m2_rlvect_2(D, B, C))  &  (A=k6_rlvect_2(B, D) & r2_tarski(D, k1_convex3(B))) ) ) ) ) ) ).
fof(fc1_convex4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  & m1_convex4(B, A))  => v1_finset_1(k13_pre_poly(B))) ) ).
fof(fc2_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  => v1_xboole_0(k13_pre_poly(k2_convex4(A)))) ) ).
fof(fc3_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  ~ (v1_xboole_0(k10_convex4(A))) ) ) ).
fof(fc4_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  ( ~ (v2_struct_0(k15_convex4(A)))  &  (v13_algstr_0(k15_convex4(A)) &  (v2_rlvect_1(k15_convex4(A)) &  (v3_rlvect_1(k15_convex4(A)) &  (v4_rlvect_1(k15_convex4(A)) &  (v1_clvect_1(k15_convex4(A)) &  (v2_clvect_1(k15_convex4(A)) &  (v3_clvect_1(k15_convex4(A)) &  (v4_clvect_1(k15_convex4(A)) & v5_clvect_1(k15_convex4(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(fc5_convex4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  & m1_clvect_1(B, A))  =>  ~ (v1_xboole_0(k17_convex4(A, B))) ) ) ).
fof(fc6_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  => v1_convex4(k2_struct_0(A), A)) ) ).
fof(cc1_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_xboole_0(B) => v1_convex4(B, A)) ) ) ) ) ).
fof(rc1_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  & v1_convex4(B, A)) ) ) ) ) ).
fof(rc2_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  (v1_xboole_0(B) & v1_convex4(B, A)) ) ) ) ) ).
fof(rc3_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  & v2_convex4(B, A)) ) ) ) ) ).
fof(rc4_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  (v1_xboole_0(B) & v2_convex4(B, A)) ) ) ) ) ).
fof(d1_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  (m2_funct_2(B, u1_struct_0(A), k2_numbers, k9_funct_2(u1_struct_0(A), k2_numbers)) =>  (m1_convex4(B, A) <=>  (? [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ~ (r2_tarski(D, C))  => k3_funct_2(u1_struct_0(A), k2_numbers, B, D)=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t1_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_convex4(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k3_funct_2(u1_struct_0(A), k2_numbers, B, C)=k5_complex1 <=>  ~ (r2_tarski(C, k1_convex4(A, B))) ) ) ) ) ) ) ) ).
fof(d3_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_convex4(B, A) =>  (B=k2_convex4(A) <=> k1_convex4(A, B)=k1_xboole_0) ) ) ) ) ).
fof(t2_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k2_numbers, k2_convex4(A), B)=k5_complex1) ) ) ) ).
fof(d4_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_convex4(C, A) =>  (m2_convex4(C, A, B) <=> r1_tarski(k1_convex4(A, C), B)) ) ) ) ) ) ) ).
fof(t3_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m2_convex4(D, A, B) =>  (r1_tarski(B, C) => m2_convex4(D, A, C)) ) ) ) ) ) ) ) ) ).
fof(t4_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => m2_convex4(k2_convex4(A), A, B)) ) ) ) ).
fof(t5_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m2_convex4(B, A, k1_subset_1(u1_struct_0(A))) => r2_funct_2(u1_struct_0(A), k2_numbers, B, k2_convex4(A))) ) ) ) ).
fof(d5_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) )  =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (D=k3_convex4(A, B, C) <=>  (k3_finseq_1(D)=k3_finseq_1(B) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) => k1_funct_1(D, E)=k1_clvect_1(A, k7_partfun1(u1_struct_0(A), B, E), k3_funct_2(u1_struct_0(A), k2_numbers, C, k7_partfun1(u1_struct_0(A), B, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), k2_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) )  =>  ( (r2_tarski(C, k4_finseq_1(D)) & B=k1_funct_1(D, C))  => k1_funct_1(k3_convex4(A, D, E), C)=k1_clvect_1(A, B, k3_funct_2(u1_struct_0(A), k2_numbers, E, B))) ) ) ) ) ) ) ) ) ) ).
fof(t7_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) )  => k3_convex4(A, k6_finseq_1(u1_struct_0(A)), B)=k6_finseq_1(u1_struct_0(A))) ) ) ) ).
fof(t8_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) )  => k3_convex4(A, k12_finseq_1(u1_struct_0(A), B), C)=k12_finseq_1(u1_struct_0(A), k1_clvect_1(A, B, k3_funct_2(u1_struct_0(A), k2_numbers, C, B)))) ) ) ) ) ) ).
fof(t9_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), k2_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) )  => k3_convex4(A, k2_finseq_4(u1_struct_0(A), B, C), D)=k2_finseq_4(u1_struct_0(A), k1_clvect_1(A, B, k3_funct_2(u1_struct_0(A), k2_numbers, D, B)), k1_clvect_1(A, C, k3_funct_2(u1_struct_0(A), k2_numbers, D, C)))) ) ) ) ) ) ) ) ).
fof(t10_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), k2_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) )  => k3_convex4(A, k3_finseq_4(u1_struct_0(A), B, C, D), E)=k3_finseq_4(u1_struct_0(A), k1_clvect_1(A, B, k3_funct_2(u1_struct_0(A), k2_numbers, E, B)), k1_clvect_1(A, C, k3_funct_2(u1_struct_0(A), k2_numbers, E, C)), k1_clvect_1(A, D, k3_funct_2(u1_struct_0(A), k2_numbers, E, D)))) ) ) ) ) ) ) ) ) ) ).
fof(d6_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_clvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_convex4(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (C=k4_convex4(A, B) <=>  (? [D] :  (m2_finseq_1(D, u1_struct_0(A)) &  (v2_funct_1(D) &  (k2_relset_1(u1_struct_0(A), D)=k1_convex4(A, B) & C=k4_rlvect_1(A, k3_convex4(A, D, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_clvect_1(A)) ) ) ) )  => k4_convex4(A, k2_convex4(A))=k4_struct_0(A)) ) ).
fof(t12_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ~ (B=k1_xboole_0)  =>  (v6_clvect_1(B, A) <=>  (! [C] :  (m2_convex4(C, A, B) => r2_tarski(k4_convex4(A, C), B)) ) ) ) ) ) ) ) ).
fof(t13_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_clvect_1(A)) ) ) ) )  =>  (! [B] :  (m2_convex4(B, A, k1_subset_1(u1_struct_0(A))) => k4_convex4(A, B)=k4_struct_0(A)) ) ) ) ).
fof(t14_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_convex4(C, A, k6_domain_1(u1_struct_0(A), B)) => k4_convex4(A, C)=k1_clvect_1(A, B, k3_funct_2(u1_struct_0(A), k2_numbers, C, B))) ) ) ) ) ) ).
fof(t15_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (B=C)  =>  (! [D] :  (m2_convex4(D, A, k7_domain_1(u1_struct_0(A), B, C)) => k4_convex4(A, D)=k3_rlvect_1(A, k1_clvect_1(A, B, k3_funct_2(u1_struct_0(A), k2_numbers, D, B)), k1_clvect_1(A, C, k3_funct_2(u1_struct_0(A), k2_numbers, D, C)))) ) ) ) ) ) ) ) ) ).
fof(t16_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_clvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_convex4(B, A) =>  (k1_convex4(A, B)=k1_xboole_0 => k4_convex4(A, B)=k4_struct_0(A)) ) ) ) ) ).
fof(t17_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_convex4(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_convex4(A, B)=k6_domain_1(u1_struct_0(A), C) => k4_convex4(A, B)=k1_clvect_1(A, C, k3_funct_2(u1_struct_0(A), k2_numbers, B, C))) ) ) ) ) ) ) ).
fof(t18_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_convex4(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k1_convex4(A, B)=k7_domain_1(u1_struct_0(A), C, D) =>  (C=D | k4_convex4(A, B)=k3_rlvect_1(A, k1_clvect_1(A, C, k3_funct_2(u1_struct_0(A), k2_numbers, B, C)), k1_clvect_1(A, D, k3_funct_2(u1_struct_0(A), k2_numbers, B, D)))) ) ) ) ) ) ) ) ) ) ).
fof(d7_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_convex4(B, A) =>  (! [C] :  (m1_convex4(C, A) =>  (r1_convex4(A, B, C) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k2_numbers, B, D)=k3_funct_2(u1_struct_0(A), k2_numbers, C, D)) ) ) ) ) ) ) ) ) ).
fof(d8_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_convex4(B, A) =>  (! [C] :  (m1_convex4(C, A) =>  (! [D] :  (m1_convex4(D, A) =>  (D=k5_convex4(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k2_numbers, D, E)=k2_xcmplx_0(k3_funct_2(u1_struct_0(A), k2_numbers, B, E), k3_funct_2(u1_struct_0(A), k2_numbers, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_convex4(B, A) =>  (! [C] :  (m1_convex4(C, A) => r1_tarski(k1_convex4(A, k5_convex4(A, B, C)), k4_subset_1(u1_struct_0(A), k1_convex4(A, B), k1_convex4(A, C)))) ) ) ) ) ) ).
fof(t20_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_convex4(C, A) =>  (! [D] :  (m1_convex4(D, A) =>  ( (m2_convex4(C, A, B) & m2_convex4(D, A, B))  => m2_convex4(k5_convex4(A, C, D), A, B)) ) ) ) ) ) ) ) ) ).
fof(t21_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_convex4(B, A) =>  (! [C] :  (m1_convex4(C, A) => r1_convex4(A, k5_convex4(A, B, C), k5_convex4(A, C, B))) ) ) ) ) ) ).
fof(t22_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_convex4(B, A) =>  (! [C] :  (m1_convex4(C, A) =>  (! [D] :  (m1_convex4(D, A) => r1_convex4(A, k5_convex4(A, B, k5_convex4(A, C, D)), k5_convex4(A, k5_convex4(A, B, C), D))) ) ) ) ) ) ) ) ).
fof(t23_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_convex4(B, A) => r1_convex4(A, k5_convex4(A, B, k2_convex4(A)), B)) ) ) ) ).
fof(d9_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (m1_convex4(C, A) =>  (! [D] :  (m1_convex4(D, A) =>  (D=k7_convex4(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k2_numbers, D, E)=k3_xcmplx_0(B, k3_funct_2(u1_struct_0(A), k2_numbers, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (m1_convex4(C, A) =>  ( ~ (B=k5_complex1)  => k1_convex4(A, k7_convex4(A, B, C))=k1_convex4(A, C)) ) ) ) ) ) ) ).
fof(t25_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_convex4(B, A) => r1_convex4(A, k7_convex4(A, k5_complex1, B), k2_convex4(A))) ) ) ) ).
fof(t26_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (m1_convex4(D, A) =>  (m2_convex4(D, A, B) => m2_convex4(k7_convex4(A, C, D), A, B)) ) ) ) ) ) ) ) ) ).
fof(t27_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (m1_convex4(D, A) => r1_convex4(A, k7_convex4(A, k2_xcmplx_0(B, C), D), k5_convex4(A, k7_convex4(A, B, D), k7_convex4(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t28_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (m1_convex4(C, A) =>  (! [D] :  (m1_convex4(D, A) => r1_convex4(A, k7_convex4(A, B, k5_convex4(A, C, D)), k5_convex4(A, k7_convex4(A, B, C), k7_convex4(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t29_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (m1_convex4(D, A) => r1_convex4(A, k7_convex4(A, B, k7_convex4(A, C, D)), k7_convex4(A, k3_xcmplx_0(B, C), D))) ) ) ) ) ) ) ) ).
fof(t30_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_convex4(B, A) => r1_convex4(A, k7_convex4(A, k6_complex1, B), B)) ) ) ) ).
fof(d10_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_convex4(B, A) => k8_convex4(A, B)=k7_convex4(A, k4_xcmplx_0(k6_complex1), B)) ) ) ) ).
fof(t31_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_convex4(C, A) => k3_funct_2(u1_struct_0(A), k2_numbers, k8_convex4(A, C), B)=k4_xcmplx_0(k3_funct_2(u1_struct_0(A), k2_numbers, C, B))) ) ) ) ) ) ).
fof(t32_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_convex4(B, A) =>  (! [C] :  (m1_convex4(C, A) =>  (r1_convex4(A, k5_convex4(A, B, C), k2_convex4(A)) => r1_convex4(A, C, k8_convex4(A, B))) ) ) ) ) ) ) ).
fof(t33_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_convex4(B, A) => r1_convex4(A, k8_convex4(A, k8_convex4(A, B)), B)) ) ) ) ).
fof(d11_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_convex4(B, A) =>  (! [C] :  (m1_convex4(C, A) => k9_convex4(A, B, C)=k5_convex4(A, B, k8_convex4(A, C))) ) ) ) ) ) ).
fof(t34_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_convex4(C, A) =>  (! [D] :  (m1_convex4(D, A) => k3_funct_2(u1_struct_0(A), k2_numbers, k9_convex4(A, C, D), B)=k6_xcmplx_0(k3_funct_2(u1_struct_0(A), k2_numbers, C, B), k3_funct_2(u1_struct_0(A), k2_numbers, D, B))) ) ) ) ) ) ) ) ).
fof(t35_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_convex4(B, A) =>  (! [C] :  (m1_convex4(C, A) => r1_tarski(k1_convex4(A, k9_convex4(A, B, C)), k4_subset_1(u1_struct_0(A), k1_convex4(A, B), k1_convex4(A, C)))) ) ) ) ) ) ).
fof(t36_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_convex4(C, A) =>  (! [D] :  (m1_convex4(D, A) =>  ( (m2_convex4(C, A, B) & m2_convex4(D, A, B))  => m2_convex4(k9_convex4(A, C, D), A, B)) ) ) ) ) ) ) ) ) ).
fof(t37_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_convex4(B, A) => r1_convex4(A, k9_convex4(A, B, B), k2_convex4(A))) ) ) ) ).
fof(d12_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (B=k10_convex4(A) <=>  (! [C] :  (r2_tarski(C, B) <=> m1_convex4(C, A)) ) ) ) ) ) ).
fof(d13_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k10_convex4(A)) => k11_convex4(A, B)=B) ) ) ) ).
fof(d14_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_convex4(B, A) => k12_convex4(A, B)=B) ) ) ) ).
fof(d15_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k10_convex4(A), k10_convex4(A)), k10_convex4(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k10_convex4(A), k10_convex4(A)), k10_convex4(A))))) )  =>  (B=k13_convex4(A) <=>  (! [C] :  (m1_subset_1(C, k10_convex4(A)) =>  (! [D] :  (m1_subset_1(D, k10_convex4(A)) => k4_binop_1(k10_convex4(A), B, C, D)=k5_convex4(A, k11_convex4(A, C), k11_convex4(A, D))) ) ) ) ) ) ) ) ) ).
fof(d16_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k2_numbers, k10_convex4(A)), k10_convex4(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, k10_convex4(A)), k10_convex4(A))))) )  =>  (B=k14_convex4(A) <=>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (m1_subset_1(D, k10_convex4(A)) => k1_funct_1(B, k4_tarski(C, D))=k7_convex4(A, C, k11_convex4(A, D))) ) ) ) ) ) ) ) ) ).
fof(d17_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  => k15_convex4(A)=g1_clvect_1(k10_convex4(A), k12_convex4(A, k2_convex4(A)), k13_convex4(A), k14_convex4(A))) ) ).
fof(t38_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_convex4(B, A) =>  (! [C] :  (m1_convex4(C, A) => k3_rlvect_1(k15_convex4(A), k1_rlvect_2(k15_convex4(A), B), k1_rlvect_2(k15_convex4(A), C))=k5_convex4(A, B, C)) ) ) ) ) ) ).
fof(t39_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (m1_convex4(C, A) => k1_clvect_1(k15_convex4(A), k1_rlvect_2(k15_convex4(A), C), B)=k7_convex4(A, B, C)) ) ) ) ) ) ).
fof(t40_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_convex4(B, A) => k4_algstr_0(k15_convex4(A), k1_rlvect_2(k15_convex4(A), B))=k8_convex4(A, B)) ) ) ) ).
fof(t41_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_convex4(B, A) =>  (! [C] :  (m1_convex4(C, A) => k5_algstr_0(k15_convex4(A), k1_rlvect_2(k15_convex4(A), B), k1_rlvect_2(k15_convex4(A), C))=k9_convex4(A, B, C)) ) ) ) ) ) ).
fof(d19_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_clvect_1(B, A) => k17_convex4(A, B)=u1_struct_0(B)) ) ) ) ).
fof(d20_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_convex4(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xcmplx_0(E) =>  ( (v1_xreal_0(E) &  (r2_tarski(C, B) & r2_tarski(D, B)) )  => r2_tarski(k1_algstr_0(A, k1_clvect_1(A, C, k6_xcmplx_0(k6_complex1, E)), k1_clvect_1(A, D, E)), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d21_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  => k18_convex4(A)=g1_clvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_clvect_1(A))) ) ).
fof(t42_convex4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k3_complex1(k3_xcmplx_0(A, B))=k3_xcmplx_0(A, k3_complex1(B))) ) ) ) ).
fof(t43_convex4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k4_complex1(k3_xcmplx_0(A, B))=k3_xcmplx_0(A, k4_complex1(B))) ) ) ) ).
fof(t44_convex4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  ( (r1_xxreal_0(k5_numbers, A) & r1_xxreal_0(A, 1))  =>  (k9_complex1(k3_xcmplx_0(A, B))=k3_xcmplx_0(A, k9_complex1(B)) & k9_complex1(k3_xcmplx_0(k6_xcmplx_0(k6_complex1, A), B))=k3_xcmplx_0(k6_xcmplx_0(k6_complex1, A), k9_complex1(B))) ) ) ) ) ) ).
fof(d23_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_convex4(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xcmplx_0(E) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  =>  ( (! [F] :  (v1_xreal_0(F) =>  ~ ( (E=F &  ( ~ (r1_xxreal_0(F, k5_numbers))  &  ~ (r1_xxreal_0(1, F)) ) ) ) ) )  | r2_tarski(k1_algstr_0(A, k1_clvect_1(A, C, E), k1_clvect_1(A, D, k6_xcmplx_0(k6_complex1, E))), B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (v1_xcmplx_0(C) =>  (v2_convex4(B, A) => v2_convex4(k19_convex4(A, B, C), A)) ) ) ) ) ) ) ).
fof(t46_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v2_convex4(B, A) & v2_convex4(C, A))  => v2_convex4(k7_rusub_4(A, B, C), A)) ) ) ) ) ) ) ).
fof(t47_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v2_convex4(B, A) & v2_convex4(C, A))  => v2_convex4(k1_rusub_5(A, B, C), A)) ) ) ) ) ) ) ).
fof(t48_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_convex4(B, A) <=>  (! [C] :  (v1_xcmplx_0(C) =>  ( (? [D] :  (v1_xreal_0(D) &  (C=D &  ( ~ (r1_xxreal_0(D, k5_numbers))  &  ~ (r1_xxreal_0(1, D)) ) ) ) )  => r1_tarski(k6_rusub_4(A, k19_convex4(A, B, C), k19_convex4(A, B, k6_xcmplx_0(k6_complex1, C))), B)) ) ) ) ) ) ) ) ).
fof(t49_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) & l1_clvect_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_convex4(B, A) =>  (! [C] :  (v1_xcmplx_0(C) =>  ( (? [D] :  (v1_xreal_0(D) &  (C=D &  ( ~ (r1_xxreal_0(D, k5_numbers))  &  ~ (r1_xxreal_0(1, D)) ) ) ) )  => r1_tarski(k7_rusub_4(A, k19_convex4(A, B, k6_xcmplx_0(k6_complex1, C)), k19_convex4(A, B, C)), B)) ) ) ) ) ) ) ) ).
fof(t50_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v2_convex4(B, A) & v2_convex4(C, A))  =>  (! [D] :  (v1_xcmplx_0(D) => v2_convex4(k7_rusub_4(A, k19_convex4(A, B, D), k19_convex4(A, C, k6_xcmplx_0(k6_complex1, D))), A)) ) ) ) ) ) ) ) ) ).
fof(t51_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k19_convex4(A, B, k6_complex1)=B) ) ) ) ).
fof(t52_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => k19_convex4(A, B, k5_complex1)=k6_domain_1(u1_struct_0(A), k4_struct_0(A))) ) ) ) ).
fof(t54_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) => k19_convex4(A, k19_convex4(A, B, D), C)=k19_convex4(A, B, k3_xcmplx_0(C, D))) ) ) ) ) ) ) ) ).
fof(t55_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (v1_xcmplx_0(D) => k19_convex4(A, k6_rusub_4(A, B, C), D)=k6_rusub_4(A, k19_convex4(A, B, D), k19_convex4(A, C, D))) ) ) ) ) ) ) ) ).
fof(t56_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v2_convex4(B, A) <=> v2_convex4(k5_rusub_4(A, B, C), A)) ) ) ) ) ) ) ).
fof(t57_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  => v2_convex4(k17_convex4(A, k3_clvect_1(A)), A)) ) ).
fof(t58_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  => v2_convex4(k17_convex4(A, k18_convex4(A)), A)) ) ).
fof(t59_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (B=k1_xboole_0 => v2_convex4(B, A)) ) ) ) ) ).
fof(t60_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  (v1_xcmplx_0(E) =>  ( (v2_convex4(B, A) & v2_convex4(C, A))  => v2_convex4(k7_rusub_4(A, k19_convex4(A, B, D), k19_convex4(A, C, E)), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) => r1_tarski(k19_convex4(A, B, k2_xcmplx_0(C, D)), k6_rusub_4(A, k19_convex4(A, B, C), k19_convex4(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t62_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (v1_xcmplx_0(D) =>  (r1_tarski(B, C) => r1_tarski(k19_convex4(A, B, D), k19_convex4(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t63_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  ( (v1_xboole_0(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (v1_xcmplx_0(C) => k19_convex4(A, B, C)=k1_xboole_0) ) ) ) ) ) ).
fof(t66_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  (v2_convex4(B, A) =>  ( (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( (C=E &  (D=F &  (r1_xxreal_0(k5_numbers, E) & r1_xxreal_0(k5_numbers, F)) ) ) ) ) ) ) )  | k7_rusub_4(A, k19_convex4(A, B, C), k19_convex4(A, B, D))=k19_convex4(A, B, k2_xcmplx_0(C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t67_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (v1_xcmplx_0(E) =>  (! [F] :  (v1_xcmplx_0(F) =>  (! [G] :  (v1_xcmplx_0(G) =>  ( (v2_convex4(B, A) &  (v2_convex4(C, A) & v2_convex4(D, A)) )  => v2_convex4(k7_rusub_4(A, k7_rusub_4(A, k19_convex4(A, B, E), k19_convex4(A, C, F)), k19_convex4(A, D, G)), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ( (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(C, B) => v2_convex4(C, A)) ) )  => v2_convex4(k6_setfam_1(u1_struct_0(A), B), A)) ) ) ) ) ).
fof(t69_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_convex4(B, A) => v2_convex4(B, A)) ) ) ) ) ).
fof(d24_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_convex4(B, A) =>  (v3_convex4(B, A) <=>  (? [C] :  (m2_finseq_1(C, u1_struct_0(A)) &  (v2_funct_1(C) &  (k2_relset_1(u1_struct_0(A), C)=k1_convex4(A, B) &  (? [D] :  (m2_finseq_1(D, k1_numbers) &  (k3_finseq_1(D)=k3_finseq_1(C) &  (k18_rvsum_1(D)=1 &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) =>  (k1_funct_1(D, E)=k1_funct_1(B, k1_funct_1(C, E)) & r1_xxreal_0(k5_numbers, k1_funct_1(D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t80_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_convex4(B, A) =>  ~ ( (v3_convex4(B, A) & k1_convex4(A, B)=k1_xboole_0) ) ) ) ) ) ).
fof(t81_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_convex4(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (v3_convex4(B, A) &  ( (? [D] :  (v1_xreal_0(D) &  (D=k3_funct_2(u1_struct_0(A), k2_numbers, B, C) & r1_xxreal_0(D, k5_numbers)) ) )  & r2_tarski(C, k1_convex4(A, B))) ) ) ) ) ) ) ) ) ).
fof(t82_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_convex4(B, A) =>  ~ ( (v3_convex4(B, A) & B=k2_convex4(A)) ) ) ) ) ) ).
fof(t83_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_convex4(C, A) =>  ( (v3_convex4(C, A) & k1_convex4(A, C)=k6_domain_1(u1_struct_0(A), B))  =>  ( (? [D] :  (v1_xreal_0(D) &  (D=k3_funct_2(u1_struct_0(A), k2_numbers, C, B) & D=1) ) )  & k4_convex4(A, C)=k1_clvect_1(A, B, k3_funct_2(u1_struct_0(A), k2_numbers, C, B))) ) ) ) ) ) ) ) ).
fof(t84_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_convex4(D, A) =>  ( (v3_convex4(D, A) & k1_convex4(A, D)=k7_domain_1(u1_struct_0(A), B, C))  =>  (B=C |  ( (? [E] :  (v1_xreal_0(E) &  (? [F] :  (v1_xreal_0(F) &  (E=k3_funct_2(u1_struct_0(A), k2_numbers, D, B) &  (F=k3_funct_2(u1_struct_0(A), k2_numbers, D, C) &  (k2_xcmplx_0(E, F)=1 &  (r1_xxreal_0(k5_numbers, E) & r1_xxreal_0(k5_numbers, F)) ) ) ) ) ) ) )  & k4_convex4(A, D)=k3_rlvect_1(A, k1_clvect_1(A, B, k3_funct_2(u1_struct_0(A), k2_numbers, D, B)), k1_clvect_1(A, C, k3_funct_2(u1_struct_0(A), k2_numbers, D, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t85_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_convex4(E, A) =>  ( (v3_convex4(E, A) & k1_convex4(A, E)=k8_domain_1(u1_struct_0(A), B, C, D))  =>  (B=C |  (C=D |  (D=B |  ( (? [F] :  (v1_xreal_0(F) &  (? [G] :  (v1_xreal_0(G) &  (? [H] :  (v1_xreal_0(H) &  (F=k3_funct_2(u1_struct_0(A), k2_numbers, E, B) &  (G=k3_funct_2(u1_struct_0(A), k2_numbers, E, C) &  (H=k3_funct_2(u1_struct_0(A), k2_numbers, E, D) &  (k2_xcmplx_0(k2_xcmplx_0(F, G), H)=1 &  (r1_xxreal_0(k5_numbers, F) &  (r1_xxreal_0(k5_numbers, G) & r1_xxreal_0(k5_numbers, H)) ) ) ) ) ) ) ) ) ) ) )  & k4_convex4(A, E)=k3_rlvect_1(A, k3_rlvect_1(A, k1_clvect_1(A, B, k3_funct_2(u1_struct_0(A), k2_numbers, E, B)), k1_clvect_1(A, C, k3_funct_2(u1_struct_0(A), k2_numbers, E, C))), k1_clvect_1(A, D, k3_funct_2(u1_struct_0(A), k2_numbers, E, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t86_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_convex4(C, A, k6_domain_1(u1_struct_0(A), B)) =>  (v3_convex4(C, A) =>  ( (? [D] :  (v1_xreal_0(D) &  (D=k3_funct_2(u1_struct_0(A), k2_numbers, C, B) & D=1) ) )  & k4_convex4(A, C)=k1_clvect_1(A, B, k3_funct_2(u1_struct_0(A), k2_numbers, C, B))) ) ) ) ) ) ) ) ).
fof(t87_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_convex4(D, A, k7_domain_1(u1_struct_0(A), B, C)) =>  (v3_convex4(D, A) =>  (B=C |  ( (? [E] :  (v1_xreal_0(E) &  (? [F] :  (v1_xreal_0(F) &  (E=k3_funct_2(u1_struct_0(A), k2_numbers, D, B) &  (F=k3_funct_2(u1_struct_0(A), k2_numbers, D, C) &  (r1_xxreal_0(k5_numbers, E) & r1_xxreal_0(k5_numbers, F)) ) ) ) ) ) )  & k4_convex4(A, D)=k3_rlvect_1(A, k1_clvect_1(A, B, k3_funct_2(u1_struct_0(A), k2_numbers, D, B)), k1_clvect_1(A, C, k3_funct_2(u1_struct_0(A), k2_numbers, D, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t88_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m2_convex4(E, A, k8_domain_1(u1_struct_0(A), B, C, D)) =>  (v3_convex4(E, A) =>  (B=C |  (C=D |  (D=B |  ( (? [F] :  (v1_xreal_0(F) &  (? [G] :  (v1_xreal_0(G) &  (? [H] :  (v1_xreal_0(H) &  (F=k3_funct_2(u1_struct_0(A), k2_numbers, E, B) &  (G=k3_funct_2(u1_struct_0(A), k2_numbers, E, C) &  (H=k3_funct_2(u1_struct_0(A), k2_numbers, E, D) &  (k2_xcmplx_0(k2_xcmplx_0(F, G), H)=1 &  (r1_xxreal_0(k5_numbers, F) &  (r1_xxreal_0(k5_numbers, G) & r1_xxreal_0(k5_numbers, H)) ) ) ) ) ) ) ) ) ) ) )  & k4_convex4(A, E)=k3_rlvect_1(A, k3_rlvect_1(A, k1_clvect_1(A, B, k3_funct_2(u1_struct_0(A), k2_numbers, E, B)), k1_clvect_1(A, C, k3_funct_2(u1_struct_0(A), k2_numbers, E, C))), k1_clvect_1(A, D, k3_funct_2(u1_struct_0(A), k2_numbers, E, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d25_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (C=k20_convex4(A, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(D, C) <=>  (v2_convex4(D, A) & r1_tarski(B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d26_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k21_convex4(A, B)=k6_setfam_1(u1_struct_0(A), k20_convex4(A, B))) ) ) ) ).
fof(t89_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v2_convex4(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (r1_tarski(B, C) => r1_tarski(k21_convex4(A, B), C)) ) ) ) ) ) ) ).
fof(dt_m1_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  (m1_convex4(B, A) => m2_funct_2(B, u1_struct_0(A), k2_numbers, k9_funct_2(u1_struct_0(A), k2_numbers))) ) ) ) ).
fof(existence_m1_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (? [B] : m1_convex4(B, A)) ) ) ).
fof(dt_k1_convex4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  & m1_subset_1(B, k9_funct_2(u1_struct_0(A), k2_numbers)))  => m1_subset_1(k1_convex4(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(redefinition_k1_convex4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  & m1_subset_1(B, k9_funct_2(u1_struct_0(A), k2_numbers)))  => k1_convex4(A, B)=k13_pre_poly(B)) ) ).
fof(dt_k2_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  => m1_convex4(k2_convex4(A), A)) ) ).
fof(dt_m2_convex4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m2_convex4(C, A, B) => m1_convex4(C, A)) ) ) ) ).
fof(existence_m2_convex4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (? [C] : m2_convex4(C, A, B)) ) ) ).
fof(dt_k3_convex4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  &  (m1_finseq_1(B, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers)))) ) ) )  => m2_finseq_1(k3_convex4(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k4_convex4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_clvect_1(A)) ) ) ) )  & m1_convex4(B, A))  => m1_subset_1(k4_convex4(A, B), u1_struct_0(A))) ) ).
fof(symmetry_r1_convex4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  (m1_convex4(B, A) & m1_convex4(C, A)) )  =>  (r1_convex4(A, B, C) => r1_convex4(A, C, B)) ) ) ).
fof(reflexivity_r1_convex4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  (m1_convex4(B, A) & m1_convex4(C, A)) )  => r1_convex4(A, B, B)) ) ).
fof(redefinition_r1_convex4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  (m1_convex4(B, A) & m1_convex4(C, A)) )  =>  (r1_convex4(A, B, C) <=> B=C) ) ) ).
fof(dt_k5_convex4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  (m1_convex4(B, A) & m1_convex4(C, A)) )  => m1_convex4(k5_convex4(A, B, C), A)) ) ).
fof(commutativity_k5_convex4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  (m1_convex4(B, A) & m1_convex4(C, A)) )  => k5_convex4(A, B, C)=k5_convex4(A, C, B)) ) ).
fof(redefinition_k5_convex4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  (m1_convex4(B, A) & m1_convex4(C, A)) )  => k5_convex4(A, B, C)=k1_valued_1(B, C)) ) ).
fof(dt_k6_convex4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  (m2_convex4(C, A, B) & m2_convex4(D, A, B)) ) )  => m2_convex4(k6_convex4(A, B, C, D), A, B)) ) ).
fof(commutativity_k6_convex4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  (m2_convex4(C, A, B) & m2_convex4(D, A, B)) ) )  => k6_convex4(A, B, C, D)=k6_convex4(A, B, D, C)) ) ).
fof(redefinition_k6_convex4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  (m2_convex4(C, A, B) & m2_convex4(D, A, B)) ) )  => k6_convex4(A, B, C, D)=k1_valued_1(C, D)) ) ).
fof(dt_k7_convex4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  &  (v1_xcmplx_0(B) & m1_convex4(C, A)) )  => m1_convex4(k7_convex4(A, B, C), A)) ) ).
fof(dt_k8_convex4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  & m1_convex4(B, A))  => m1_convex4(k8_convex4(A, B), A)) ) ).
fof(dt_k9_convex4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  &  (m1_convex4(B, A) & m1_convex4(C, A)) )  => m1_convex4(k9_convex4(A, B, C), A)) ) ).
fof(dt_k11_convex4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  & m1_subset_1(B, k10_convex4(A)))  => m1_convex4(k11_convex4(A, B), A)) ) ).
fof(dt_k12_convex4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  & m1_convex4(B, A))  => m1_subset_1(k12_convex4(A, B), k10_convex4(A))) ) ).
fof(dt_k13_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (v1_funct_1(k13_convex4(A)) &  (v1_funct_2(k13_convex4(A), k2_zfmisc_1(k10_convex4(A), k10_convex4(A)), k10_convex4(A)) & m1_subset_1(k13_convex4(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k10_convex4(A), k10_convex4(A)), k10_convex4(A))))) ) ) ) ).
fof(dt_k14_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (v1_funct_1(k14_convex4(A)) &  (v1_funct_2(k14_convex4(A), k2_zfmisc_1(k2_numbers, k10_convex4(A)), k10_convex4(A)) & m1_subset_1(k14_convex4(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, k10_convex4(A)), k10_convex4(A))))) ) ) ) ).
fof(dt_k15_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  ( ~ (v2_struct_0(k15_convex4(A)))  &  (v13_algstr_0(k15_convex4(A)) &  (v2_rlvect_1(k15_convex4(A)) &  (v3_rlvect_1(k15_convex4(A)) &  (v4_rlvect_1(k15_convex4(A)) &  (v2_clvect_1(k15_convex4(A)) &  (v3_clvect_1(k15_convex4(A)) &  (v4_clvect_1(k15_convex4(A)) &  (v5_clvect_1(k15_convex4(A)) & l1_clvect_1(k15_convex4(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k16_convex4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_clvect_1(k16_convex4(A, B)) & m1_clvect_1(k16_convex4(A, B), k15_convex4(A))) ) ) ).
fof(dt_k17_convex4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  & m1_clvect_1(B, A))  => m1_subset_1(k17_convex4(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k18_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (v1_clvect_1(k18_convex4(A)) & m1_clvect_1(k18_convex4(A), A)) ) ) ).
fof(dt_k19_convex4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v1_xcmplx_0(C)) )  => m1_subset_1(k19_convex4(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k20_convex4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k20_convex4(A, B), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k21_convex4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v2_convex4(k21_convex4(A, B), A) & m1_subset_1(k21_convex4(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ) ).
fof(d2_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m2_funct_2(B, u1_struct_0(A), k2_numbers, k9_funct_2(u1_struct_0(A), k2_numbers)) => k1_convex4(A, B)=a_2_0_convex4(A, B)) ) ) ) ).
fof(d18_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v1_clvect_1(C) & m1_clvect_1(C, k15_convex4(A)))  =>  (C=k16_convex4(A, B) <=> u1_struct_0(C)=a_2_1_convex4(A, B)) ) ) ) ) ) ) ).
fof(d22_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (v1_xcmplx_0(C) => k19_convex4(A, B, C)=a_3_0_convex4(A, B, C)) ) ) ) ) ) ).
fof(t70_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_csspace(A) & l1_csspace(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (B=a_3_1_convex4(A, C, D) => v2_convex4(B, A)) ) ) ) ) ) ) ) ) ).
fof(t71_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_csspace(A) & l1_csspace(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (B=a_3_2_convex4(A, C, D) => v2_convex4(B, A)) ) ) ) ) ) ) ) ) ).
fof(t72_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_csspace(A) & l1_csspace(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (B=a_3_3_convex4(A, C, D) => v2_convex4(B, A)) ) ) ) ) ) ) ) ) ).
fof(t73_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_csspace(A) & l1_csspace(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (B=a_3_4_convex4(A, C, D) => v2_convex4(B, A)) ) ) ) ) ) ) ) ) ).
fof(t74_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_csspace(A) & l1_csspace(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (B=a_3_5_convex4(A, C, D) => v2_convex4(B, A)) ) ) ) ) ) ) ) ) ).
fof(t75_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_csspace(A) & l1_csspace(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (B=a_3_6_convex4(A, C, D) => v2_convex4(B, A)) ) ) ) ) ) ) ) ) ).
fof(t76_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_csspace(A) & l1_csspace(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (B=a_3_7_convex4(A, C, D) => v2_convex4(B, A)) ) ) ) ) ) ) ) ) ).
fof(t77_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_csspace(A) & l1_csspace(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (B=a_3_8_convex4(A, C, D) => v2_convex4(B, A)) ) ) ) ) ) ) ) ) ).
fof(t78_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_csspace(A) & l1_csspace(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (B=a_3_9_convex4(A, C, D) => v2_convex4(B, A)) ) ) ) ) ) ) ) ) ).
fof(t79_convex4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_csspace(A) & l1_csspace(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (B=a_3_10_convex4(A, C, D) => v2_convex4(B, A)) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_convex4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l2_algstr_0(B))  & m2_funct_2(C, u1_struct_0(B), k2_numbers, k9_funct_2(u1_struct_0(B), k2_numbers)))  =>  (r2_hidden(A, a_2_0_convex4(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D &  ~ (k3_funct_2(u1_struct_0(B), k2_numbers, C, D)=k5_complex1) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_convex4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l1_clvect_1(B))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_1_convex4(B, C)) <=>  (? [D] :  (m2_convex4(D, B, C) & A=D) ) ) ) ) ).
fof(fraenkel_a_3_0_convex4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  & l1_clvect_1(B))  &  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) & v1_xcmplx_0(D)) )  =>  (r2_hidden(A, a_3_0_convex4(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k1_clvect_1(B, E, D) & r2_tarski(E, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_1_convex4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_csspace(B) & l1_csspace(B)) )  &  (m1_subset_1(C, u1_struct_0(B)) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_1_convex4(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E & r1_xxreal_0(D, k3_complex1(k10_csspace(B, E, C)))) ) ) ) ) ) ).
fof(fraenkel_a_3_2_convex4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_csspace(B) & l1_csspace(B)) )  &  (m1_subset_1(C, u1_struct_0(B)) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_2_convex4(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E &  ~ (r1_xxreal_0(k3_complex1(k10_csspace(B, E, C)), D)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_3_convex4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_csspace(B) & l1_csspace(B)) )  &  (m1_subset_1(C, u1_struct_0(B)) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_3_convex4(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E & r1_xxreal_0(k3_complex1(k10_csspace(B, E, C)), D)) ) ) ) ) ) ).
fof(fraenkel_a_3_4_convex4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_csspace(B) & l1_csspace(B)) )  &  (m1_subset_1(C, u1_struct_0(B)) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_4_convex4(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E &  ~ (r1_xxreal_0(D, k3_complex1(k10_csspace(B, E, C)))) ) ) ) ) ) ) ).
fof(fraenkel_a_3_5_convex4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_csspace(B) & l1_csspace(B)) )  &  (m1_subset_1(C, u1_struct_0(B)) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_5_convex4(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E & r1_xxreal_0(D, k4_complex1(k10_csspace(B, E, C)))) ) ) ) ) ) ).
fof(fraenkel_a_3_6_convex4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_csspace(B) & l1_csspace(B)) )  &  (m1_subset_1(C, u1_struct_0(B)) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_6_convex4(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E &  ~ (r1_xxreal_0(k4_complex1(k10_csspace(B, E, C)), D)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_7_convex4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_csspace(B) & l1_csspace(B)) )  &  (m1_subset_1(C, u1_struct_0(B)) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_7_convex4(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E & r1_xxreal_0(k4_complex1(k10_csspace(B, E, C)), D)) ) ) ) ) ) ).
fof(fraenkel_a_3_8_convex4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_csspace(B) & l1_csspace(B)) )  &  (m1_subset_1(C, u1_struct_0(B)) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_8_convex4(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E &  ~ (r1_xxreal_0(D, k4_complex1(k10_csspace(B, E, C)))) ) ) ) ) ) ) ).
fof(fraenkel_a_3_9_convex4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_csspace(B) & l1_csspace(B)) )  &  (m1_subset_1(C, u1_struct_0(B)) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_9_convex4(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E & r1_xxreal_0(k9_complex1(k10_csspace(B, E, C)), D)) ) ) ) ) ) ).
fof(fraenkel_a_3_10_convex4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_csspace(B) & l1_csspace(B)) )  &  (m1_subset_1(C, u1_struct_0(B)) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_10_convex4(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E &  ~ (r1_xxreal_0(D, k9_complex1(k10_csspace(B, E, C)))) ) ) ) ) ) ) ).
fof(fc1_convfun1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  &  ( ~ (v2_struct_0(B))  & l1_rlvect_1(B)) )  =>  ~ (v2_struct_0(k3_convfun1(A, B))) ) ) ).
fof(fc2_convfun1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) & l1_rlvect_1(A)) )  &  ( ~ (v2_struct_0(B))  &  (v2_rlvect_1(B) & l1_rlvect_1(B)) ) )  => v2_rlvect_1(k3_convfun1(A, B))) ) ).
fof(fc3_convfun1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) & l1_rlvect_1(A)) )  &  ( ~ (v2_struct_0(B))  &  (v3_rlvect_1(B) & l1_rlvect_1(B)) ) )  => v3_rlvect_1(k3_convfun1(A, B))) ) ).
fof(fc4_convfun1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_rlvect_1(A) & l1_rlvect_1(A)) )  &  ( ~ (v2_struct_0(B))  &  (v4_rlvect_1(B) & l1_rlvect_1(B)) ) )  => v4_rlvect_1(k3_convfun1(A, B))) ) ).
fof(fc5_convfun1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) & l1_rlvect_1(A)) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) & l1_rlvect_1(B)) ) )  => v13_algstr_0(k3_convfun1(A, B))) ) ).
fof(fc6_convfun1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) )  =>  (v5_rlvect_1(k3_convfun1(A, B)) &  (v6_rlvect_1(k3_convfun1(A, B)) &  (v7_rlvect_1(k3_convfun1(A, B)) & v8_rlvect_1(k3_convfun1(A, B))) ) ) ) ) ).
fof(fc7_convfun1, axiom,  ( ~ (v2_struct_0(k4_convfun1))  &  (v13_algstr_0(k4_convfun1) &  (v2_rlvect_1(k4_convfun1) &  (v3_rlvect_1(k4_convfun1) &  (v4_rlvect_1(k4_convfun1) &  (v5_rlvect_1(k4_convfun1) &  (v6_rlvect_1(k4_convfun1) &  (v7_rlvect_1(k4_convfun1) & v8_rlvect_1(k4_convfun1)) ) ) ) ) ) ) ) ).
fof(d1_convfun1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_rlvect_1(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))) )  =>  (C=k1_convfun1(A, B) <=>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))) =>  (! [E] :  (m1_subset_1(E, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(B)) =>  ( (D=k1_domain_1(u1_struct_0(A), u1_struct_0(B), F, H) & E=k1_domain_1(u1_struct_0(A), u1_struct_0(B), G, I))  => k4_binop_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), C, D, E)=k1_domain_1(u1_struct_0(A), u1_struct_0(B), k3_funct_2(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A), u1_algstr_0(A), k1_domain_1(u1_struct_0(A), u1_struct_0(A), F, G)), k3_funct_2(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(B), u1_algstr_0(B), k1_domain_1(u1_struct_0(B), u1_struct_0(B), H, I)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_convfun1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_rlvect_1(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k1_numbers, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))) )  =>  (C=k2_convfun1(A, B) <=>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (E=k1_domain_1(u1_struct_0(A), u1_struct_0(B), F, G) => k1_binop_1(C, D, E)=k4_tarski(k1_funct_1(u1_rlvect_1(A), k4_tarski(D, F)), k1_funct_1(u1_rlvect_1(B), k4_tarski(D, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_convfun1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_rlvect_1(B))  => k3_convfun1(A, B)=g1_rlvect_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k1_domain_1(u1_struct_0(A), u1_struct_0(B), k4_struct_0(A), k4_struct_0(B)), k1_convfun1(A, B), k2_convfun1(A, B))) ) ) ) ).
fof(t1_convfun1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_rlvect_1(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k3_convfun1(A, B))) =>  (! [F] :  (v1_xreal_0(F) =>  (E=k1_domain_1(u1_struct_0(A), u1_struct_0(B), C, D) => k1_rlvect_1(k3_convfun1(A, B), E, F)=k1_domain_1(u1_struct_0(A), u1_struct_0(B), k1_rlvect_1(A, C, F), k1_rlvect_1(B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_convfun1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_rlvect_1(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k3_convfun1(A, B))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k3_convfun1(A, B))) =>  ( (G=k1_domain_1(u1_struct_0(A), u1_struct_0(B), C, E) & H=k1_domain_1(u1_struct_0(A), u1_struct_0(B), D, F))  => k1_algstr_0(k3_convfun1(A, B), G, H)=k1_domain_1(u1_struct_0(A), u1_struct_0(B), k1_algstr_0(A, C, D), k1_algstr_0(B, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_convfun1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(B)) =>  (! [F] :  (m2_finseq_1(F, u1_struct_0(k3_convfun1(A, B))) =>  ( (k3_finseq_1(D)=C &  (k3_finseq_1(E)=C &  (k3_finseq_1(F)=C &  (! [G] :  (v7_ordinal1(G) =>  (r2_tarski(G, k2_finseq_1(C)) => k1_funct_1(F, G)=k4_tarski(k1_funct_1(D, G), k1_funct_1(E, G))) ) ) ) ) )  => k4_rlvect_1(k3_convfun1(A, B), F)=k1_domain_1(u1_struct_0(A), u1_struct_0(B), k4_rlvect_1(A, D), k4_rlvect_1(B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_convfun1, axiom, k4_convfun1=g1_rlvect_1(k1_numbers, k10_subset_1(k5_numbers, k1_numbers), k9_binop_2, k11_binop_2)).
fof(d6_convfun1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k6_numbers)))) )  =>  (v1_convfun1(B, A) <=> v1_convex1(k5_convfun1(A, B), k3_convfun1(A, k4_convfun1))) ) ) ) ) ).
fof(t4_convfun1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k6_numbers)))) )  =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ (k12_supinf_2(B, C)=k2_supinf_1) ) )  =>  (v1_convfun1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  ( ~ (r1_xxreal_0(1, E))  &  ~ (r1_xxreal_0(k12_supinf_2(B, k1_algstr_0(A, k1_rlvect_1(A, C, E), k1_rlvect_1(A, D, k6_xcmplx_0(1, E)))), k1_xxreal_3(k4_xxreal_3(E, k12_supinf_2(B, C)), k4_xxreal_3(k6_xcmplx_0(1, E), k12_supinf_2(B, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_convfun1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k6_numbers)))) )  =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ (k12_supinf_2(B, C)=k2_supinf_1) ) )  =>  (v1_convfun1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xreal_0(E) =>  ( (r1_xxreal_0(k5_numbers, E) & r1_xxreal_0(E, 1))  => r1_xxreal_0(k12_supinf_2(B, k3_rlvect_1(A, k1_rlvect_1(A, C, E), k1_rlvect_1(A, D, k6_xcmplx_0(1, E)))), k1_xxreal_3(k4_xxreal_3(E, k12_supinf_2(B, C)), k4_xxreal_3(k6_xcmplx_0(1, E), k12_supinf_2(B, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_convfun1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k4_convfun1), k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_convfun1), k6_numbers)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k4_convfun1))) =>  ( (r1_tarski(C, k1_relset_1(k1_numbers, A)) &  (! [D] :  (v1_xreal_0(D) =>  ( (r2_hidden(D, C) => k1_funct_1(B, D)=k1_funct_1(A, D))  &  ( ~ (r2_hidden(D, C))  => k1_funct_1(B, D)=k1_supinf_1) ) ) ) )  =>  (v1_convfun1(B, k4_convfun1) <=>  (r2_rfunct_3(A, C) & v1_convex1(C, k4_convfun1)) ) ) ) ) ) ) ) ) ).
fof(t7_convfun1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_convex1(B, A) <=>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(A)) =>  (! [F] :  (m2_finseq_1(F, u1_struct_0(A)) =>  ( (k3_finseq_1(D)=C &  (k3_finseq_1(E)=C &  (k3_finseq_1(F)=C &  (k18_rvsum_1(D)=1 &  (! [G] :  (v7_ordinal1(G) =>  (r2_tarski(G, k2_finseq_1(C)) =>  ( ~ (r1_xxreal_0(k12_supinf_2(D, G), k5_numbers))  &  (k1_funct_1(F, G)=k1_rlvect_1(A, k7_partfun1(u1_struct_0(A), E, G), k12_supinf_2(D, G)) & r2_tarski(k7_partfun1(u1_struct_0(A), E, G), B)) ) ) ) ) ) ) ) )  => r2_tarski(k4_rlvect_1(A, F), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_convfun1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k6_numbers)))) )  =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ (k12_supinf_2(B, C)=k2_supinf_1) ) )  =>  (v1_convfun1(B, A) <=>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & m1_subset_1(C, k4_ordinal1))  =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  (! [E] :  (m2_finseq_1(E, k6_numbers) =>  (! [F] :  (m2_finseq_1(F, u1_struct_0(A)) =>  (! [G] :  (m2_finseq_1(G, u1_struct_0(A)) =>  ( (k3_finseq_1(D)=C &  (k3_finseq_1(E)=C &  (k3_finseq_1(F)=C &  (k3_finseq_1(G)=C &  (k18_rvsum_1(D)=1 &  (! [H] :  (m1_subset_1(H, k4_ordinal1) =>  (r2_tarski(H, k2_finseq_1(C)) =>  ( ~ (r1_xxreal_0(k12_supinf_2(D, H), k5_numbers))  &  (k1_funct_1(G, H)=k1_rlvect_1(A, k7_partfun1(u1_struct_0(A), F, H), k12_supinf_2(D, H)) & k12_supinf_2(E, H)=k1_extreal1(k12_supinf_2(D, H), k12_supinf_2(B, k7_partfun1(u1_struct_0(A), F, H)))) ) ) ) ) ) ) ) ) )  => r1_xxreal_0(k12_supinf_2(B, k4_rlvect_1(A, G)), k4_extreal1(E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_convfun1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k6_numbers)))) )  =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ (k12_supinf_2(B, C)=k2_supinf_1) ) )  =>  (v1_convfun1(B, A) <=>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & m1_subset_1(C, k4_ordinal1))  =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  (! [E] :  (m2_finseq_1(E, k6_numbers) =>  (! [F] :  (m2_finseq_1(F, u1_struct_0(A)) =>  (! [G] :  (m2_finseq_1(G, u1_struct_0(A)) =>  ( (k3_finseq_1(D)=C &  (k3_finseq_1(E)=C &  (k3_finseq_1(F)=C &  (k3_finseq_1(G)=C &  (k18_rvsum_1(D)=1 &  (! [H] :  (m1_subset_1(H, k4_ordinal1) =>  (r2_tarski(H, k2_finseq_1(C)) =>  (r1_xxreal_0(k5_numbers, k12_supinf_2(D, H)) &  (k1_funct_1(G, H)=k1_rlvect_1(A, k7_partfun1(u1_struct_0(A), F, H), k12_supinf_2(D, H)) & k12_supinf_2(E, H)=k1_extreal1(k12_supinf_2(D, H), k12_supinf_2(B, k7_partfun1(u1_struct_0(A), F, H)))) ) ) ) ) ) ) ) ) )  => r1_xxreal_0(k12_supinf_2(B, k4_rlvect_1(A, G)), k4_extreal1(E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_convfun1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  &  ( ~ (v2_struct_0(B))  & l1_rlvect_1(B)) )  =>  (v1_funct_1(k1_convfun1(A, B)) &  (v1_funct_2(k1_convfun1(A, B), k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))) & m1_subset_1(k1_convfun1(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))) ) ) ) ).
fof(dt_k2_convfun1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  &  ( ~ (v2_struct_0(B))  & l1_rlvect_1(B)) )  =>  (v1_funct_1(k2_convfun1(A, B)) &  (v1_funct_2(k2_convfun1(A, B), k2_zfmisc_1(k1_numbers, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))) & m1_subset_1(k2_convfun1(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))) ) ) ) ).
fof(dt_k3_convfun1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  &  ( ~ (v2_struct_0(B))  & l1_rlvect_1(B)) )  => l1_rlvect_1(k3_convfun1(A, B))) ) ).
fof(dt_k4_convfun1, axiom,  ( ~ (v2_struct_0(k4_convfun1))  & l1_rlvect_1(k4_convfun1)) ).
fof(dt_k5_convfun1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k6_numbers)))) ) )  => m1_subset_1(k5_convfun1(A, B), k1_zfmisc_1(u1_struct_0(k3_convfun1(A, k4_convfun1))))) ) ).
fof(d5_convfun1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k6_numbers)))) )  => k5_convfun1(A, B)=a_2_0_convfun1(A, B)) ) ) ) ).
fof(fraenkel_a_2_0_convfun1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l1_rlvect_1(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k6_numbers)))) ) )  =>  (r2_hidden(A, a_2_0_convfun1(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, u1_struct_0(B)) & m1_subset_1(E, k1_numbers))  &  (A=k1_domain_1(u1_struct_0(B), k1_numbers, D, E) & r1_xxreal_0(k12_supinf_2(C, D), E)) ) ) ) ) ) ).
fof(fc1_cousin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_metric_1(k14_euclid(A)) &  (v6_metric_1(k14_euclid(A)) &  (v7_metric_1(k14_euclid(A)) &  (v8_metric_1(k14_euclid(A)) &  (v9_metric_1(k14_euclid(A)) & v4_tbsp_1(k14_euclid(A))) ) ) ) ) ) ) ).
fof(fc2_cousin, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  & m1_integra1(B, A))  =>  ~ (v1_xboole_0(k2_cousin(A, B))) ) ) ).
fof(cc1_cousin, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  & m1_integra1(B, A))  =>  (! [C] :  (m1_subset_1(C, k2_cousin(A, B)) =>  ~ (v1_xboole_0(C)) ) ) ) ) ).
fof(rc1_cousin, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) &  (v1_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  =>  (? [C] :  (m1_cousin(C, A) & v1_cousin(C, A, B)) ) ) ) ).
fof(t1_cousin, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v5_valued_0(A) & m2_finseq_1(A, k1_numbers)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v5_valued_0(B) & m2_finseq_1(B, k1_numbers)) )  =>  ( ~ (r1_xxreal_0(k1_funct_1(B, 1), k1_funct_1(A, k3_finseq_1(A))))  =>  ( ~ (v1_xboole_0(k8_finseq_1(k1_numbers, A, B)))  &  (v5_valued_0(k8_finseq_1(k1_numbers, A, B)) & m2_finseq_1(k8_finseq_1(k1_numbers, A, B), k1_numbers)) ) ) ) ) ) ) ).
fof(t2_cousin, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, 1))  &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  ( ~ (r1_xxreal_0(1, B))  & r1_xxreal_0(k5_numbers, k3_power(A, B))) ) ) ) ) ) ) ) ).
fof(t3_cousin, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, 1))  &  ( ~ (r1_xxreal_0(B, 1))  & r1_xxreal_0(k3_power(A, B), k5_numbers)) ) ) ) ) ) ) ).
fof(t4_cousin, axiom,  (! [A] : k4_card_3(k9_finseq_1(k1_tarski(A)))=k1_tarski(k9_finseq_1(A))) ).
fof(t5_cousin, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(1)) =>  (? [B] :  (v1_xreal_0(B) & r2_relset_1(k4_ordinal1, k1_numbers, A, k2_matrprob(B))) ) ) ) ).
fof(t6_cousin, axiom,  (! [A] :  (v1_xreal_0(A) => m1_subset_1(k2_matrprob(A), u1_struct_0(k14_euclid(1)))) ) ).
fof(t7_cousin, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) =>  (r1_xxreal_0(A, k7_xcmplx_0(k2_xcmplx_0(A, B), 2)) & r1_xxreal_0(k7_xcmplx_0(k2_xcmplx_0(A, B), 2), B)) ) ) ) ) ) ).
fof(t8_cousin, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( (r1_xxreal_0(A, B) &  ( ~ (r1_xxreal_0(C, B))  & r1_xxreal_0(k7_xcmplx_0(k2_xcmplx_0(B, C), 2), A)) ) ) ) ) ) ) ) ) ).
fof(t9_cousin, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  & r1_xxreal_0(B, k7_xcmplx_0(k2_xcmplx_0(A, B), 2))) ) ) ) ) ) ).
fof(t10_cousin, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) =>  ( ~ (v1_xboole_0(k1_rcomp_1(A, B)))  &  (v1_rcomp_1(k1_rcomp_1(A, B)) & m1_subset_1(k1_rcomp_1(A, B), k1_zfmisc_1(k1_numbers))) ) ) ) ) ) ) ).
fof(t11_cousin, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (r1_xxreal_0(2, k3_finseq_1(A)) => k1_funct_1(k1_rfinseq(1, A), k3_finseq_1(k1_rfinseq(1, A)))=k1_funct_1(A, k3_finseq_1(A))) ) ) ).
fof(t12_cousin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k14_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k4_real_ns1(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k4_real_ns1(A))) =>  ( (B=D & C=E)  => k3_metric_1(k14_euclid(A), B, C)=k2_normsp_0(k4_real_ns1(A), k5_algstr_0(k4_real_ns1(A), D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_cousin, axiom,  (! [A] :  (v7_ordinal1(A) => u1_struct_0(k4_real_ns1(A))=u1_struct_0(k14_euclid(A))) ) ).
fof(t14_cousin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k14_euclid(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k14_euclid(A)))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(k4_real_ns1(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k4_real_ns1(A)))))) )  =>  (r1_funct_2(k4_ordinal1, u1_struct_0(k14_euclid(A)), k4_ordinal1, u1_struct_0(k4_real_ns1(A)), B, C) =>  (v3_tbsp_1(B, k14_euclid(A)) <=> v1_rsspace3(C, k4_real_ns1(A))) ) ) ) ) ) ) ) ).
fof(t15_cousin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k14_euclid(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k14_euclid(A)))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(k4_real_ns1(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k4_real_ns1(A)))))) )  =>  (r1_funct_2(k4_ordinal1, u1_struct_0(k14_euclid(A)), k4_ordinal1, u1_struct_0(k4_real_ns1(A)), B, C) =>  (v2_tbsp_1(B, k14_euclid(A)) <=> v3_normsp_1(C, k4_real_ns1(A))) ) ) ) ) ) ) ) ).
fof(t16_cousin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k14_euclid(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k14_euclid(A)))))) )  =>  (v3_tbsp_1(B, k14_euclid(A)) => v2_tbsp_1(B, k14_euclid(A))) ) ) ) ) ).
fof(t17_cousin, axiom,  (! [A] :  (v7_ordinal1(A) => v4_tbsp_1(k14_euclid(A))) ) ).
fof(t18_cousin, axiom,  (! [A] :  (v7_ordinal1(A) => r1_funct_2(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A))), k1_numbers, k2_zfmisc_1(k1_euclid(A), k1_euclid(A)), k1_numbers, k1_normsp_2(k4_real_ns1(A)), k13_euclid(A))) ) ).
fof(t19_cousin, axiom,  (! [A] :  (v7_ordinal1(A) => k2_normsp_2(k4_real_ns1(A))=k14_euclid(A)) ) ).
fof(d1_cousin, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(k1_euclid(1))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k1_euclid(1)))))) )  =>  (C=k1_cousin(A, B) <=>  (! [D] :  (v7_ordinal1(D) => k8_nat_1(k9_setfam_1(k1_euclid(1)), C, D)=k4_card_3(k12_finseq_1(k1_zfmisc_1(k1_numbers), k1_rcomp_1(k8_nat_1(k1_numbers, A, D), k8_nat_1(k1_numbers, B, D))))) ) ) ) ) ) ) ) ) ).
fof(t20_cousin, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_funct_1(k1_cousin(A, B)) &  (v1_funct_2(k1_cousin(A, B), k4_ordinal1, k9_setfam_1(u1_struct_0(k14_euclid(1)))) & m1_subset_1(k1_cousin(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k14_euclid(1))))))) ) ) ) ) ) ).
fof(t21_cousin, axiom, k4_card_3(k9_finseq_1(k1_numbers))=k1_euclid(1)).
fof(t22_cousin, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_euclid(1))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_euclid(1))) =>  ( (C=k2_matrprob(A) & D=k2_matrprob(B))  => k3_metric_1(k14_euclid(1), C, D)=k9_complex1(k6_xcmplx_0(A, B))) ) ) ) ) ) ) ) ) ).
fof(t23_cousin, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k14_euclid(1)))) =>  ( (r1_xxreal_0(A, B) & C=k4_card_3(k12_finseq_1(k1_zfmisc_1(k1_numbers), k1_rcomp_1(A, B))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_euclid(1))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k14_euclid(1))) =>  ( (r2_tarski(D, C) & r2_tarski(E, C))  => r1_xxreal_0(k3_metric_1(k14_euclid(1), D, E), k6_xcmplx_0(B, A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_cousin, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k14_euclid(1)))) =>  ( (r1_xxreal_0(A, B) & C=k4_card_3(k12_finseq_1(k1_zfmisc_1(k1_numbers), k1_rcomp_1(A, B))))  => v6_tbsp_1(C, k14_euclid(1))) ) ) ) ) ) ) ).
fof(t25_cousin, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(k8_nat_1(k1_numbers, A, C), k8_nat_1(k1_numbers, B, C)) &  (r1_xxreal_0(k8_nat_1(k1_numbers, A, C), k3_funct_2(k4_ordinal1, k1_numbers, A, k1_nat_1(C, 1))) & r1_xxreal_0(k3_funct_2(k4_ordinal1, k1_numbers, B, k1_nat_1(C, 1)), k8_nat_1(k1_numbers, B, C))) ) ) )  =>  (v2_relat_1(k1_cousin(A, B)) &  (v1_funct_1(k1_cousin(A, B)) &  (v1_funct_2(k1_cousin(A, B), k4_ordinal1, k9_setfam_1(u1_struct_0(k14_euclid(1)))) &  (v1_compl_sp(k1_cousin(A, B), k14_euclid(1)) &  (v7_compl_sp(k1_cousin(A, B), k14_euclid(1)) & m1_subset_1(k1_cousin(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k14_euclid(1))))))) ) ) ) ) ) ) ) ) ) ).
fof(t26_cousin, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(k8_nat_1(k1_numbers, A, C), k8_nat_1(k1_numbers, B, C)) &  (r1_xxreal_0(k8_nat_1(k1_numbers, A, C), k3_funct_2(k4_ordinal1, k1_numbers, A, k1_nat_1(C, 1))) & r1_xxreal_0(k3_funct_2(k4_ordinal1, k1_numbers, B, k1_nat_1(C, 1)), k8_nat_1(k1_numbers, B, C))) ) ) )  => v2_prob_1(k1_cousin(A, B))) ) ) ) ) ).
fof(t27_cousin, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_xxreal_0(A, C) & r1_xxreal_0(C, B))  => r2_tarski(k2_matrprob(C), k4_card_3(k12_finseq_1(k1_zfmisc_1(k1_numbers), k1_rcomp_1(A, B))))) ) ) ) ) ) ) ).
fof(t28_cousin, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k14_euclid(1)))) =>  ( (r1_xxreal_0(A, B) & C=k4_card_3(k12_finseq_1(k1_zfmisc_1(k1_numbers), k1_rcomp_1(A, B))))  => k2_tbsp_1(k14_euclid(1), C)=k6_xcmplx_0(B, A)) ) ) ) ) ) ) ).
fof(t29_cousin, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( ( (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k8_nat_1(k1_numbers, A, C), k8_nat_1(k1_numbers, B, C))) )  &  (v7_valued_0(A) & v8_valued_0(B)) )  =>  (v2_comseq_2(A) & v2_comseq_2(B)) ) ) ) ) ) ).
fof(t30_cousin, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (r1_xxreal_0(k3_funct_2(k4_ordinal1, k1_numbers, A, k5_numbers), k3_funct_2(k4_ordinal1, k1_numbers, B, k5_numbers)) &  (! [C] :  (v7_ordinal1(C) =>  ( (k3_funct_2(k4_ordinal1, k1_numbers, A, k1_nat_1(C, 1))=k8_nat_1(k1_numbers, A, C) & k3_funct_2(k4_ordinal1, k1_numbers, B, k1_nat_1(C, 1))=k7_xcmplx_0(k2_xcmplx_0(k8_nat_1(k1_numbers, A, C), k8_nat_1(k1_numbers, B, C)), 2))  |  (k3_funct_2(k4_ordinal1, k1_numbers, A, k1_nat_1(C, 1))=k7_xcmplx_0(k2_xcmplx_0(k8_nat_1(k1_numbers, A, C), k8_nat_1(k1_numbers, B, C)), 2) & k3_funct_2(k4_ordinal1, k1_numbers, B, k1_nat_1(C, 1))=k8_nat_1(k1_numbers, B, C)) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k8_nat_1(k1_numbers, A, C), k8_nat_1(k1_numbers, B, C))) ) ) ) ) ) ) ).
fof(t31_cousin, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(u1_struct_0(k14_euclid(1)))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k14_euclid(1))))))) )  =>  ( (r1_xxreal_0(k3_funct_2(k4_ordinal1, k1_numbers, A, k5_numbers), k3_funct_2(k4_ordinal1, k1_numbers, B, k5_numbers)) &  (r1_funct_2(k4_ordinal1, k9_setfam_1(u1_struct_0(k14_euclid(1))), k4_ordinal1, k9_setfam_1(k1_euclid(1)), C, k1_cousin(A, B)) &  (! [D] :  (v7_ordinal1(D) =>  ( (k3_funct_2(k4_ordinal1, k1_numbers, A, k1_nat_1(D, 1))=k8_nat_1(k1_numbers, A, D) & k3_funct_2(k4_ordinal1, k1_numbers, B, k1_nat_1(D, 1))=k7_xcmplx_0(k2_xcmplx_0(k8_nat_1(k1_numbers, A, D), k8_nat_1(k1_numbers, B, D)), 2))  |  (k3_funct_2(k4_ordinal1, k1_numbers, A, k1_nat_1(D, 1))=k7_xcmplx_0(k2_xcmplx_0(k8_nat_1(k1_numbers, A, D), k8_nat_1(k1_numbers, B, D)), 2) & k3_funct_2(k4_ordinal1, k1_numbers, B, k1_nat_1(D, 1))=k8_nat_1(k1_numbers, B, D)) ) ) ) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(k8_nat_1(k1_numbers, A, D), k8_nat_1(k1_numbers, B, D)) &  (r1_xxreal_0(k8_nat_1(k1_numbers, A, D), k3_funct_2(k4_ordinal1, k1_numbers, A, k1_nat_1(D, 1))) &  (r1_xxreal_0(k3_funct_2(k4_ordinal1, k1_numbers, B, k1_nat_1(D, 1)), k8_nat_1(k1_numbers, B, D)) & k8_nat_1(k1_numbers, k1_compl_sp(k14_euclid(1), C), D)=k6_xcmplx_0(k8_nat_1(k1_numbers, B, D), k8_nat_1(k1_numbers, A, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_cousin, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(u1_struct_0(k14_euclid(1)))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k14_euclid(1))))))) )  =>  ( (k3_funct_2(k4_ordinal1, k1_numbers, A, k5_numbers)=k3_funct_2(k4_ordinal1, k1_numbers, B, k5_numbers) &  (r1_funct_2(k4_ordinal1, k9_setfam_1(u1_struct_0(k14_euclid(1))), k4_ordinal1, k9_setfam_1(k1_euclid(1)), C, k1_cousin(A, B)) &  (! [D] :  (v7_ordinal1(D) =>  ( (k3_funct_2(k4_ordinal1, k1_numbers, A, k1_nat_1(D, 1))=k8_nat_1(k1_numbers, A, D) & k3_funct_2(k4_ordinal1, k1_numbers, B, k1_nat_1(D, 1))=k7_xcmplx_0(k2_xcmplx_0(k8_nat_1(k1_numbers, A, D), k8_nat_1(k1_numbers, B, D)), 2))  |  (k3_funct_2(k4_ordinal1, k1_numbers, A, k1_nat_1(D, 1))=k7_xcmplx_0(k2_xcmplx_0(k8_nat_1(k1_numbers, A, D), k8_nat_1(k1_numbers, B, D)), 2) & k3_funct_2(k4_ordinal1, k1_numbers, B, k1_nat_1(D, 1))=k8_nat_1(k1_numbers, B, D)) ) ) ) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (k8_nat_1(k1_numbers, A, D)=k3_funct_2(k4_ordinal1, k1_numbers, A, k5_numbers) &  (k8_nat_1(k1_numbers, B, D)=k3_funct_2(k4_ordinal1, k1_numbers, B, k5_numbers) & k8_nat_1(k1_numbers, k1_compl_sp(k14_euclid(1), C), D)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_cousin, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (! [C] :  (v7_ordinal1(C) =>  ( (k3_funct_2(k4_ordinal1, k1_numbers, A, k1_nat_1(C, 1))=k8_nat_1(k1_numbers, A, C) & k3_funct_2(k4_ordinal1, k1_numbers, B, k1_nat_1(C, 1))=k7_xcmplx_0(k2_xcmplx_0(k8_nat_1(k1_numbers, A, C), k8_nat_1(k1_numbers, B, C)), 2))  |  (k3_funct_2(k4_ordinal1, k1_numbers, A, k1_nat_1(C, 1))=k7_xcmplx_0(k2_xcmplx_0(k8_nat_1(k1_numbers, A, C), k8_nat_1(k1_numbers, B, C)), 2) & k3_funct_2(k4_ordinal1, k1_numbers, B, k1_nat_1(C, 1))=k8_nat_1(k1_numbers, B, C)) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v1_xreal_0(D) =>  (D=k1_newton(2, C) =>  (D=k5_numbers | r1_xxreal_0(k6_xcmplx_0(k8_nat_1(k1_numbers, B, C), k8_nat_1(k1_numbers, A, C)), k7_xcmplx_0(k6_xcmplx_0(k3_funct_2(k4_ordinal1, k1_numbers, B, k5_numbers), k3_funct_2(k4_ordinal1, k1_numbers, A, k5_numbers)), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_cousin, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(u1_struct_0(k14_euclid(1)))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k14_euclid(1))))))) )  =>  ( (r1_xxreal_0(k3_funct_2(k4_ordinal1, k1_numbers, A, k5_numbers), k3_funct_2(k4_ordinal1, k1_numbers, B, k5_numbers)) &  (r1_funct_2(k4_ordinal1, k9_setfam_1(u1_struct_0(k14_euclid(1))), k4_ordinal1, k9_setfam_1(k1_euclid(1)), C, k1_cousin(A, B)) &  (! [D] :  (v7_ordinal1(D) =>  ( (k3_funct_2(k4_ordinal1, k1_numbers, A, k1_nat_1(D, 1))=k8_nat_1(k1_numbers, A, D) & k3_funct_2(k4_ordinal1, k1_numbers, B, k1_nat_1(D, 1))=k7_xcmplx_0(k2_xcmplx_0(k8_nat_1(k1_numbers, A, D), k8_nat_1(k1_numbers, B, D)), 2))  |  (k3_funct_2(k4_ordinal1, k1_numbers, A, k1_nat_1(D, 1))=k7_xcmplx_0(k2_xcmplx_0(k8_nat_1(k1_numbers, A, D), k8_nat_1(k1_numbers, B, D)), 2) & k3_funct_2(k4_ordinal1, k1_numbers, B, k1_nat_1(D, 1))=k8_nat_1(k1_numbers, B, D)) ) ) ) ) )  =>  (v2_comseq_2(k1_compl_sp(k14_euclid(1), C)) & k1_seq_2(k1_compl_sp(k14_euclid(1), C))=k5_numbers) ) ) ) ) ) ) ) ).
fof(t35_cousin, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( (r1_xxreal_0(k3_funct_2(k4_ordinal1, k1_numbers, A, k5_numbers), k3_funct_2(k4_ordinal1, k1_numbers, B, k5_numbers)) &  ( (! [C] :  (v7_ordinal1(C) =>  ( (k3_funct_2(k4_ordinal1, k1_numbers, A, k1_nat_1(C, 1))=k8_nat_1(k1_numbers, A, C) & k3_funct_2(k4_ordinal1, k1_numbers, B, k1_nat_1(C, 1))=k7_xcmplx_0(k2_xcmplx_0(k8_nat_1(k1_numbers, A, C), k8_nat_1(k1_numbers, B, C)), 2))  |  (k3_funct_2(k4_ordinal1, k1_numbers, A, k1_nat_1(C, 1))=k7_xcmplx_0(k2_xcmplx_0(k8_nat_1(k1_numbers, A, C), k8_nat_1(k1_numbers, B, C)), 2) & k3_funct_2(k4_ordinal1, k1_numbers, B, k1_nat_1(C, 1))=k8_nat_1(k1_numbers, B, C)) ) ) )  & v1_xboole_0(k2_kurato_0(k1_euclid(1), k1_cousin(A, B)))) ) ) ) ) ) ) ).
fof(t36_cousin, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  (r1_xxreal_0(k3_funct_2(k4_ordinal1, k1_numbers, B, k5_numbers), k3_funct_2(k4_ordinal1, k1_numbers, C, k5_numbers)) &  ( (! [D] :  (v7_ordinal1(D) =>  ( (k3_funct_2(k4_ordinal1, k1_numbers, B, k1_nat_1(D, 1))=k8_nat_1(k1_numbers, B, D) & k3_funct_2(k4_ordinal1, k1_numbers, C, k1_nat_1(D, 1))=k7_xcmplx_0(k2_xcmplx_0(k8_nat_1(k1_numbers, B, D), k8_nat_1(k1_numbers, C, D)), 2))  |  (k3_funct_2(k4_ordinal1, k1_numbers, B, k1_nat_1(D, 1))=k7_xcmplx_0(k2_xcmplx_0(k8_nat_1(k1_numbers, B, D), k8_nat_1(k1_numbers, C, D)), 2) & k3_funct_2(k4_ordinal1, k1_numbers, C, k1_nat_1(D, 1))=k8_nat_1(k1_numbers, C, D)) ) ) )  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(k8_nat_1(k1_numbers, B, E), D) & r1_xxreal_0(D, k8_nat_1(k1_numbers, C, E))) ) )  &  (? [E] :  (v7_ordinal1(E) &  ( ~ (r1_xxreal_0(k8_nat_1(k1_numbers, B, E), k6_xcmplx_0(D, A)))  &  ~ (r1_xxreal_0(k2_xcmplx_0(D, A), k8_nat_1(k1_numbers, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_cousin, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (? [B] :  (v1_xreal_0(B) &  (? [C] :  (v1_xreal_0(C) &  (r1_xxreal_0(B, C) & A=k1_rcomp_1(B, C)) ) ) ) ) ) ) ).
fof(t38_cousin, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  ~ ( (k2_seq_4(A)=k3_seq_4(B) &  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r1_xxreal_0(C, E) &  (r1_xxreal_0(E, D) &  (A=k1_rcomp_1(C, E) & B=k1_rcomp_1(E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_cousin, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_finseq_2(k1_numbers))) =>  (C=k2_cousin(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (? [E] :  ( ( ~ (v1_xboole_0(E))  &  (v7_valued_0(E) & m2_finseq_1(E, k1_numbers)) )  &  (D=E &  (k1_relset_1(k4_ordinal1, E)=k1_relset_1(k4_ordinal1, B) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k1_relset_1(k4_ordinal1, E)) => r2_tarski(k1_funct_1(E, F), k2_integra1(A, B, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_cousin, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) => r2_tarski(B, k2_cousin(A, B))) ) ) ) ).
fof(t40_cousin, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  (C=k1_rcomp_1(A, B) => m1_integra1(k2_matrprob(B), C)) ) ) ) ) ) ) ).
fof(d3_cousin, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_cousin(B, A) <=>  (? [C] :  (m1_integra1(C, A) &  (? [D] :  (m1_subset_1(D, k2_cousin(A, C)) & B=k4_tarski(C, D)) ) ) ) ) ) ) ) ).
fof(d4_cousin, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) &  (v1_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  (m1_cousin(C, A) =>  (v1_cousin(C, A, B) <=>  (? [D] :  (m1_integra1(D, A) &  (? [E] :  (m1_subset_1(E, k2_cousin(A, D)) &  (C=k4_tarski(D, E) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k1_relset_1(k4_ordinal1, D)) => r1_xxreal_0(k3_integra1(k2_integra1(A, D, F)), k1_funct_1(B, k1_funct_1(E, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_cousin, axiom,  (! [A] :  (v1_xreal_0(A) => k3_integra1(k1_seq_4(A))=k5_numbers) ) ).
fof(t42_cousin, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v1_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (r1_tarski(B, A) =>  (v1_funct_1(k5_relset_1(A, k1_numbers, C, B)) &  (v1_funct_2(k5_relset_1(A, k1_numbers, C, B), B, k1_numbers) &  (v1_partfun3(k5_relset_1(A, k1_numbers, C, B)) & m1_subset_1(k5_relset_1(A, k1_numbers, C, B), k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) ) ) ) ) ) ) ) ) ) ).
fof(t43_cousin, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) =>  ( ( ~ (v1_xboole_0(k1_rcomp_1(k3_seq_4(A), B)))  &  (v2_measure5(k1_rcomp_1(k3_seq_4(A), B)) & m1_subset_1(k1_rcomp_1(k3_seq_4(A), B), k1_zfmisc_1(k1_numbers))) )  &  ( ( ~ (v1_xboole_0(k1_rcomp_1(B, k2_seq_4(A))))  &  (v2_measure5(k1_rcomp_1(B, k2_seq_4(A))) & m1_subset_1(k1_rcomp_1(B, k2_seq_4(A)), k1_zfmisc_1(k1_numbers))) )  & k2_seq_4(k1_rcomp_1(k3_seq_4(A), B))=k3_seq_4(k1_rcomp_1(B, k2_seq_4(A)))) ) ) ) ) ) ) ).
fof(d5_cousin, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  (m1_integra1(C, A) =>  (! [D] :  (m1_integra1(D, B) =>  (r1_xxreal_0(k2_seq_4(A), k3_seq_4(B)) =>  ( ( ~ (k1_funct_1(D, 1)=k2_seq_4(A))  => k3_cousin(A, B, C, D)=k8_finseq_1(k1_numbers, C, D))  &  (k1_funct_1(D, 1)=k2_seq_4(A) => k3_cousin(A, B, C, D)=k8_finseq_1(k1_numbers, C, k2_rfinseq(k1_numbers, 1, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_cousin, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  (m1_integra1(C, A) =>  (! [D] :  (m1_integra1(D, B) =>  ( (k2_seq_4(A)=k3_seq_4(B) &  (k3_finseq_1(D)=1 & k1_funct_1(D, 1)=k3_seq_4(B)) )  => r2_relset_1(k4_ordinal1, k1_numbers, k3_cousin(A, B, C, D), C)) ) ) ) ) ) ) ) ) ).
fof(t45_cousin, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  ( (r1_xxreal_0(k2_seq_4(A), k3_seq_4(B)) &  (r1_xxreal_0(k3_seq_4(C), k3_seq_4(A)) & r1_xxreal_0(k2_seq_4(B), k2_seq_4(C))) )  => r1_tarski(k4_subset_1(k1_numbers, A, B), C)) ) ) ) ) ) ) ).
fof(t46_cousin, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  (! [D] :  (m1_integra1(D, A) =>  (! [E] :  (m1_integra1(E, B) =>  ( (r1_xxreal_0(k2_seq_4(A), k3_seq_4(B)) & C=k1_rcomp_1(k3_seq_4(A), k2_seq_4(B)))  => m1_integra1(k3_cousin(A, B, D, E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_cousin, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v5_valued_0(A) & m2_finseq_1(A, k1_numbers)) )  =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(B, k1_funct_1(A, k3_finseq_1(A))))  =>  ( ~ (v1_xboole_0(k8_finseq_1(k1_numbers, A, k2_matrprob(B))))  &  (v5_valued_0(k8_finseq_1(k1_numbers, A, k2_matrprob(B))) & m2_finseq_1(k8_finseq_1(k1_numbers, A, k2_matrprob(B)), k1_numbers)) ) ) ) ) ) ) ).
fof(t48_cousin, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v5_valued_0(A) & m2_finseq_1(A, k1_numbers)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v5_valued_0(B) & m2_finseq_1(B, k1_numbers)) )  =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k1_funct_1(A, k3_finseq_1(A))))  &  ( ~ (r1_xxreal_0(k1_funct_1(B, 1), C))  &  ~ ( ( ~ (v1_xboole_0(k8_finseq_1(k1_numbers, k8_finseq_1(k1_numbers, A, k2_matrprob(C)), B)))  &  (v5_valued_0(k8_finseq_1(k1_numbers, k8_finseq_1(k1_numbers, A, k2_matrprob(C)), B)) & m2_finseq_1(k8_finseq_1(k1_numbers, k8_finseq_1(k1_numbers, A, k2_matrprob(C)), B), k1_numbers)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_cousin, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  ( (k2_seq_4(A)=k3_seq_4(B) & C=k4_subset_1(k1_numbers, A, B))  =>  (k3_seq_4(C)=k3_seq_4(A) & k2_seq_4(C)=k2_seq_4(B)) ) ) ) ) ) ) ) ).
fof(t50_cousin, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (k2_integra1(A, B, 1)=k1_rcomp_1(k3_seq_4(A), k1_funct_1(B, 1)) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k1_relset_1(k4_ordinal1, B)) =>  (C=1 | k2_integra1(A, B, C)=k1_rcomp_1(k1_funct_1(B, k6_xcmplx_0(C, 1)), k1_funct_1(B, C))) ) ) ) ) ) ) ) ) ).
fof(t51_cousin, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) => k3_finseq_1(k8_finseq_1(k1_numbers, k8_finseq_1(k1_numbers, B, k2_matrprob(A)), C))=k1_nat_1(k1_nat_1(k3_finseq_1(B), k3_finseq_1(C)), 1)) ) ) ) ) ) ).
fof(t52_cousin, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  (m2_subset_1(C, k3_finseq_2(k1_numbers), k2_cousin(A, B)) => r1_tarski(k10_xtuple_0(C), k1_numbers)) ) ) ) ) ) ).
fof(d6_cousin, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_cousin(B, A) =>  (! [C] :  (m1_integra1(C, A) =>  (C=k4_cousin(A, B) <=>  (? [D] :  (m1_integra1(D, A) &  (? [E] :  (m2_subset_1(E, k3_finseq_2(k1_numbers), k2_cousin(A, D)) &  (r2_relset_1(k4_ordinal1, k1_numbers, C, D) & B=k4_tarski(D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_cousin, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( ( (r1_xxreal_0(A, k6_xcmplx_0(D, C)) & r1_xxreal_0(k2_xcmplx_0(D, C), B))  => k9_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(D, C), k2_xcmplx_0(D, C)), k1_rcomp_1(A, B))=k2_rcomp_1(k6_xcmplx_0(D, C), k2_xcmplx_0(D, C)))  &  ( (r1_xxreal_0(A, k6_xcmplx_0(D, C)) =>  (r1_xxreal_0(k2_xcmplx_0(D, C), B) | k9_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(D, C), k2_xcmplx_0(D, C)), k1_rcomp_1(A, B))=k4_rcomp_1(k6_xcmplx_0(D, C), B)) )  &  ( (r1_xxreal_0(k2_xcmplx_0(D, C), B) =>  (r1_xxreal_0(A, k6_xcmplx_0(D, C)) | k9_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(D, C), k2_xcmplx_0(D, C)), k1_rcomp_1(A, B))=k3_rcomp_1(A, k2_xcmplx_0(D, C))) )  &  ~ ( ( ~ (r1_xxreal_0(A, k6_xcmplx_0(D, C)))  &  ( ~ (r1_xxreal_0(k2_xcmplx_0(D, C), B))  &  ~ (k9_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(D, C), k2_xcmplx_0(D, C)), k1_rcomp_1(A, B))=k1_rcomp_1(A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_cousin, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_numbers)) =>  ( (r1_xxreal_0(A, D) &  (r1_xxreal_0(D, B) & E=k9_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(D, C), k2_xcmplx_0(D, C)), k1_rcomp_1(A, B))) )  =>  (r1_xxreal_0(C, k5_numbers) |  ( ( (r1_xxreal_0(A, k6_xcmplx_0(D, C)) & r1_xxreal_0(k2_xcmplx_0(D, C), B))  =>  (k3_seq_4(E)=k6_xcmplx_0(D, C) & k2_seq_4(E)=k2_xcmplx_0(D, C)) )  &  ( (r1_xxreal_0(A, k6_xcmplx_0(D, C)) =>  (r1_xxreal_0(k2_xcmplx_0(D, C), B) |  (k3_seq_4(E)=k6_xcmplx_0(D, C) & k2_seq_4(E)=B) ) )  &  ( (r1_xxreal_0(k2_xcmplx_0(D, C), B) =>  (r1_xxreal_0(A, k6_xcmplx_0(D, C)) |  (k3_seq_4(E)=A & k2_seq_4(E)=k2_xcmplx_0(D, C)) ) )  &  ~ ( ( ~ (r1_xxreal_0(A, k6_xcmplx_0(D, C)))  &  ( ~ (r1_xxreal_0(k2_xcmplx_0(D, C), B))  &  ~ ( (k3_seq_4(E)=A & k2_seq_4(E)=B) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_cousin, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(B, A))  =>  ( ~ (v1_xboole_0(k10_finseq_1(A, B)))  &  (v5_valued_0(k10_finseq_1(A, B)) & m2_finseq_1(k10_finseq_1(A, B), k1_numbers)) ) ) ) ) ) ) ).
fof(t61_cousin, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers))) )  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v1_rcomp_1(E) & m1_subset_1(E, k1_zfmisc_1(k1_numbers))) )  =>  ( (r1_xxreal_0(A, C) &  (r1_xxreal_0(C, B) &  (D=k1_rcomp_1(A, C) & E=k1_rcomp_1(C, B)) ) )  =>  (! [F] :  (m1_integra1(F, D) =>  (! [G] :  (m1_integra1(G, E) =>  (! [H] :  (v7_ordinal1(H) =>  (! [I] :  (v7_ordinal1(I) =>  ( (r2_tarski(H, k1_relset_1(k4_ordinal1, F)) & r2_tarski(I, k1_relset_1(k4_ordinal1, G)))  =>  ( ~ ( ( ~ (r1_xxreal_0(k3_finseq_1(F), H))  & r1_xxreal_0(k1_funct_1(G, I), k1_funct_1(F, H))) )  &  ( ~ ( (H=k3_finseq_1(F) &  ( ~ (r1_xxreal_0(k1_funct_1(G, 1), C))  & r1_xxreal_0(k1_funct_1(G, I), k1_funct_1(F, H))) ) )  &  (k1_funct_1(G, 1)=C => k1_funct_1(F, k3_finseq_1(F))=k1_funct_1(G, 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_cousin, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers))) )  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v1_rcomp_1(E) & m1_subset_1(E, k1_zfmisc_1(k1_numbers))) )  =>  ( (r1_xxreal_0(A, C) &  (r1_xxreal_0(C, B) &  (D=k1_rcomp_1(A, C) & E=k1_rcomp_1(C, B)) ) )  =>  (! [F] :  (m1_integra1(F, D) =>  (! [G] :  (m1_integra1(G, E) =>  (! [H] :  (v7_ordinal1(H) =>  (! [I] :  (v7_ordinal1(I) =>  ~ ( (r2_tarski(H, k1_relset_1(k4_ordinal1, F)) &  (r2_tarski(I, k1_relset_1(k4_ordinal1, G)) &  ( ~ (r1_xxreal_0(k1_funct_1(G, 1), C))  & r1_xxreal_0(k1_funct_1(G, I), k1_funct_1(F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_cousin, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers))) )  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v1_rcomp_1(E) & m1_subset_1(E, k1_zfmisc_1(k1_numbers))) )  =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  &  (v1_rcomp_1(F) & m1_subset_1(F, k1_zfmisc_1(k1_numbers))) )  =>  ( (r1_xxreal_0(A, C) &  (r1_xxreal_0(C, B) &  (D=k1_rcomp_1(A, B) &  (E=k1_rcomp_1(A, C) & F=k1_rcomp_1(C, B)) ) ) )  =>  (! [G] :  (m1_integra1(G, E) =>  (! [H] :  (m1_integra1(H, F) =>  ( ~ (r1_xxreal_0(k1_funct_1(H, 1), C))  => m1_integra1(k8_finseq_1(k1_numbers, G, H), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_cousin, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  ( (r1_xxreal_0(A, B) & C=k1_rcomp_1(A, B))  =>  (! [D] :  (m1_integra1(D, C) =>  (k3_finseq_1(D)=1 => r2_relset_1(k4_ordinal1, k1_numbers, D, k2_matrprob(B))) ) ) ) ) ) ) ) ) ) ).
fof(t65_cousin, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  (! [D] :  (m1_integra1(D, C) =>  (r1_xxreal_0(2, k3_finseq_1(D)) => m1_integra1(k2_rfinseq(k1_numbers, 1, D), C)) ) ) ) ) ) ) ) ) ).
fof(t66_cousin, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  (C=k1_rcomp_1(A, B) =>  (r1_xxreal_0(B, A) | m1_integra1(k10_finseq_1(A, B), C)) ) ) ) ) ) ) ) ).
fof(t67_cousin, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_rcomp_1(A, B), k1_numbers) &  (v1_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(A, B), k1_numbers)))) ) )  =>  ~ ( (r1_xxreal_0(A, B) &  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v5_valued_0(D) & m2_finseq_1(D, k1_numbers)) )  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m2_finseq_1(E, k1_numbers))  =>  ~ ( (k1_funct_1(D, 1)=A &  (k1_funct_1(D, k3_finseq_1(D))=B &  (k1_funct_1(E, 1)=A &  (k1_relset_1(k4_ordinal1, D)=k1_relset_1(k4_ordinal1, E) &  ( (! [F] :  (v7_ordinal1(F) =>  ( (r2_tarski(k6_xcmplx_0(F, 1), k1_relset_1(k4_ordinal1, E)) & r2_tarski(F, k1_relset_1(k4_ordinal1, E)))  =>  (r1_xxreal_0(k6_xcmplx_0(k1_funct_1(E, F), k1_funct_1(C, k1_funct_1(E, F))), k1_funct_1(D, k6_xcmplx_0(F, 1))) & r1_xxreal_0(k1_funct_1(D, k6_xcmplx_0(F, 1)), k1_funct_1(E, F))) ) ) )  &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k1_relset_1(k4_ordinal1, E)) =>  (r1_xxreal_0(k1_funct_1(E, F), k1_funct_1(D, F)) & r1_xxreal_0(k1_funct_1(D, F), k2_xcmplx_0(k1_funct_1(E, F), k1_funct_1(C, k1_funct_1(E, F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_cousin, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) &  (v1_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (? [C] :  (m1_cousin(C, A) & v1_cousin(C, A, B)) ) ) ) ) ) ).
fof(dt_k1_cousin, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (v1_funct_1(k1_cousin(A, B)) &  (v1_funct_2(k1_cousin(A, B), k4_ordinal1, k9_setfam_1(k1_euclid(1))) & m1_subset_1(k1_cousin(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k1_euclid(1)))))) ) ) ) ).
fof(dt_k2_cousin, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  & m1_integra1(B, A))  => m1_subset_1(k2_cousin(A, B), k1_zfmisc_1(k3_finseq_2(k1_numbers)))) ) ).
fof(existence_m1_cousin, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (? [B] : m1_cousin(B, A)) ) ) ).
fof(dt_k3_cousin, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  &  (m1_integra1(C, A) & m1_integra1(D, B)) ) )  =>  ( ~ (v1_xboole_0(k3_cousin(A, B, C, D)))  &  (v5_valued_0(k3_cousin(A, B, C, D)) & m2_finseq_1(k3_cousin(A, B, C, D), k1_numbers)) ) ) ) ).
fof(dt_k4_cousin, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  & m1_cousin(B, A))  => m1_integra1(k4_cousin(A, B), A)) ) ).
fof(t53_cousin, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_rcomp_1(A, B), k2_rcomp_1(k5_numbers, k1_xxreal_0)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(A, B), k2_rcomp_1(k5_numbers, k1_xxreal_0))))) )  =>  (r1_xxreal_0(A, B) => m1_subset_1(a_3_0_cousin(A, B, C), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A, B)))))) ) ) ) ) ) ) ).
fof(t54_cousin, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_rcomp_1(A, B), k2_rcomp_1(k5_numbers, k1_xxreal_0)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(A, B), k2_rcomp_1(k5_numbers, k1_xxreal_0))))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A, B))))) =>  ( (r1_xxreal_0(A, B) & D=a_3_0_cousin(A, B, C))  => m1_setfam_1(D, u1_struct_0(k4_topmetr(A, B)))) ) ) ) ) ) ) ) ) ).
fof(t55_cousin, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_rcomp_1(A, B), k2_rcomp_1(k5_numbers, k1_xxreal_0)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(A, B), k2_rcomp_1(k5_numbers, k1_xxreal_0))))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A, B))))) =>  ( (r1_xxreal_0(A, B) & D=a_3_0_cousin(A, B, C))  => v1_tops_2(D, k4_topmetr(A, B))) ) ) ) ) ) ) ) ) ).
fof(t56_cousin, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_rcomp_1(A, B), k2_rcomp_1(k5_numbers, k1_xxreal_0)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(A, B), k2_rcomp_1(k5_numbers, k1_xxreal_0))))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A, B))))) =>  (D=a_3_0_cousin(A, B, C) => v1_rcomp_3(D, k4_topmetr(A, B))) ) ) ) ) ) ) ) ) ).
fof(t57_cousin, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_rcomp_1(A, B), k2_rcomp_1(k5_numbers, k1_xxreal_0)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(A, B), k2_rcomp_1(k5_numbers, k1_xxreal_0))))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A, B))))) =>  ( (r1_xxreal_0(A, B) & D=a_3_0_cousin(A, B, C))  =>  (! [E] :  (m1_rcomp_3(E, A, B, D) =>  (m2_finseq_1(E, k1_zfmisc_1(k1_numbers)) &  (r1_tarski(k2_relset_1(k9_setfam_1(k1_numbers), E), D) &  (k3_tarski(k2_relset_1(k9_setfam_1(k1_numbers), E))=k1_rcomp_1(A, B) &  ( (! [F] :  (v7_ordinal1(F) =>  (r1_xxreal_0(1, F) =>  ( ~ ( (r1_xxreal_0(F, k3_finseq_1(E)) & v1_xboole_0(k7_partfun1(k9_setfam_1(k1_numbers), E, F))) )  &  ( (r1_xxreal_0(k1_nat_1(F, 1), k3_finseq_1(E)) =>  (r1_xxreal_0(k3_seq_4(k7_partfun1(k9_setfam_1(k1_numbers), E, F)), k3_seq_4(k7_partfun1(k9_setfam_1(k1_numbers), E, k1_nat_1(F, 1)))) &  (r1_xxreal_0(k2_seq_4(k7_partfun1(k9_setfam_1(k1_numbers), E, F)), k2_seq_4(k7_partfun1(k9_setfam_1(k1_numbers), E, k1_nat_1(F, 1)))) &  ~ (r1_xxreal_0(k2_seq_4(k7_partfun1(k9_setfam_1(k1_numbers), E, F)), k3_seq_4(k7_partfun1(k9_setfam_1(k1_numbers), E, k1_nat_1(F, 1))))) ) ) )  &  (r1_xxreal_0(k1_nat_1(F, 2), k3_finseq_1(E)) => r1_xxreal_0(k2_seq_4(k7_partfun1(k9_setfam_1(k1_numbers), E, F)), k3_seq_4(k7_partfun1(k9_setfam_1(k1_numbers), E, k1_nat_1(F, 2))))) ) ) ) ) )  &  ( (r2_tarski(k1_rcomp_1(A, B), D) => r2_relset_1(k4_ordinal1, k1_zfmisc_1(k1_numbers), E, k12_finseq_1(k1_zfmisc_1(k1_numbers), k1_rcomp_1(A, B))))  &  ( ~ (r2_tarski(k1_rcomp_1(A, B), D))  =>  ( (? [F] :  (v1_xreal_0(F) &  ( ~ (r1_xxreal_0(F, A))  &  (r1_xxreal_0(F, B) & k1_funct_1(E, 1)=k3_rcomp_1(A, F)) ) ) )  &  ( (? [F] :  (v1_xreal_0(F) &  (r1_xxreal_0(A, F) &  ( ~ (r1_xxreal_0(B, F))  & k1_funct_1(E, k3_finseq_1(E))=k4_rcomp_1(F, B)) ) ) )  &  (! [F] :  (v7_ordinal1(F) =>  ~ ( ( ~ (r1_xxreal_0(F, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(E), F))  &  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ~ ( (r1_xxreal_0(A, G) &  ( ~ (r1_xxreal_0(H, G))  &  (r1_xxreal_0(H, B) & k1_funct_1(E, F)=k2_rcomp_1(G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_cousin, axiom,  (! [A, B, C, D] :  ( (v1_xreal_0(B) &  (v1_xreal_0(C) &  (v1_funct_1(D) &  (v1_funct_2(D, k1_rcomp_1(B, C), k2_rcomp_1(k5_numbers, k1_xxreal_0)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(B, C), k2_rcomp_1(k5_numbers, k1_xxreal_0))))) ) ) )  =>  (r2_hidden(A, a_3_0_cousin(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_rcomp_1(B, C)) & A=k9_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(E, k1_funct_1(D, E)), k2_xcmplx_0(E, k1_funct_1(D, E))), k1_rcomp_1(B, C))) ) ) ) ) ).
fof(fc1_cousin2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) &  (v1_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v1_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) )  =>  (v1_funct_1(k1_cousin2(A, B, C)) &  (v1_funct_2(k1_cousin2(A, B, C), A, k1_numbers) & v1_partfun3(k1_cousin2(A, B, C))) ) ) ) ).
fof(fc2_cousin2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) &  (v1_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v1_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) )  =>  (v1_funct_1(k2_cousin2(A, B, C)) &  (v1_funct_2(k2_cousin2(A, B, C), A, k1_numbers) & v1_partfun3(k2_cousin2(A, B, C))) ) ) ) ).
fof(fc3_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  ~ (v1_xboole_0(k3_cousin2(A))) ) ) ).
fof(rc1_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k1_numbers) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, A) &  (v1_funct_2(B, A, k1_numbers) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) & v1_cousin2(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k1_numbers) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, A) &  (v1_funct_2(B, A, k1_numbers) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) & v3_integra1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_cousin2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k1_numbers) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, A) &  (v1_funct_2(B, A, k1_numbers) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) & v1_comseq_2(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc4_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k1_numbers) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, A) &  (v1_funct_2(B, A, k1_numbers) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) &  (v1_comseq_2(B) & v3_integra1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) &  (v1_comseq_2(B) & v3_integra1(B, A)) ) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & v1_cousin2(B, A)) ) ) ) ) ) ) ).
fof(t1_cousin2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_xxreal_0(k6_xcmplx_0(A, B), C) & r1_xxreal_0(B, A))  => r1_xxreal_0(k9_complex1(k6_xcmplx_0(B, A)), C)) ) ) ) ) ) ) ).
fof(t2_cousin2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_xxreal_0(k6_xcmplx_0(B, A), C) & r1_xxreal_0(A, B))  => r1_xxreal_0(k9_complex1(k6_xcmplx_0(B, A)), C)) ) ) ) ) ) ) ).
fof(t3_cousin2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ( (r1_xxreal_0(A, B) &  (r1_xxreal_0(B, C) &  (r1_xxreal_0(k9_complex1(k6_xcmplx_0(A, D)), E) & r1_xxreal_0(k9_complex1(k6_xcmplx_0(C, D)), E)) ) )  => r1_xxreal_0(k9_complex1(k6_xcmplx_0(B, D)), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_cousin2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  => r1_xxreal_0(k9_complex1(k6_xcmplx_0(A, B)), C)) ) )  => A=B) ) ) ) ) ).
fof(t5_cousin2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_xreal_0(B) &  ~ (v3_xxreal_0(B)) )  =>  (! [C] :  ( (v1_xreal_0(C) &  ~ (v3_xxreal_0(C)) )  =>  (! [D] :  ( (v1_xreal_0(D) &  ~ (v3_xxreal_0(D)) )  =>  ( ~ (r1_xxreal_0(k7_xcmplx_0(A, k3_xcmplx_0(k3_xcmplx_0(2, B), k9_complex1(C))), D))  =>  (v2_xxreal_0(B) & v2_xxreal_0(C)) ) ) ) ) ) ) ) ) ) ).
fof(t6_cousin2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (A=k5_numbers)  => k3_xcmplx_0(A, k7_xcmplx_0(B, k3_xcmplx_0(2, A)))=k7_xcmplx_0(B, 2)) ) ) ) ) ).
fof(t7_cousin2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_xreal_0(C) &  ~ (v3_xxreal_0(C)) )  =>  (! [D] :  ( (v1_xreal_0(D) &  ~ (v3_xxreal_0(D)) )  =>  (! [E] :  ( (v1_xreal_0(E) &  ~ (v3_xxreal_0(E)) )  =>  (r1_xxreal_0(A, k3_xcmplx_0(k3_xcmplx_0(C, D), E)) =>  (r1_xxreal_0(k7_xcmplx_0(B, k3_xcmplx_0(k3_xcmplx_0(2, C), k9_complex1(D))), E) | r1_xxreal_0(A, k7_xcmplx_0(B, 2))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_cousin2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (D=k1_cousin2(A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) => k3_funct_2(A, k1_numbers, D, E)=k3_xxreal_0(k3_funct_2(A, k1_numbers, B, E), k3_funct_2(A, k1_numbers, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_cousin2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (D=k2_cousin2(A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) => k3_funct_2(A, k1_numbers, D, E)=k4_xxreal_0(k3_funct_2(A, k1_numbers, B, E), k3_funct_2(A, k1_numbers, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_cousin2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (r1_cousin2(A, B, C) <=>  (! [D] :  (m1_subset_1(D, A) => r1_xxreal_0(k3_funct_2(A, k1_numbers, B, D), k3_funct_2(A, k1_numbers, C, D))) ) ) ) ) ) ) ) ) ).
fof(t8_cousin2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  => r1_cousin2(A, k1_cousin2(A, B, C), B)) ) ) ) ) ) ).
fof(t9_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v3_membered(A))  =>  ~ ( ( (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k2_seq_4(A)=B) ) )  &  (! [B] :  (v1_xreal_0(B) =>  ~ (A=k1_seq_4(B)) ) ) ) ) ) ) ).
fof(t10_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v3_membered(A))  =>  ~ ( ( (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k3_seq_4(A)=B) ) )  &  (! [B] :  (v1_xreal_0(B) =>  ~ (A=k1_seq_4(B)) ) ) ) ) ) ) ).
fof(t11_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_membered(A) &  (v3_xxreal_2(A) & v4_xxreal_2(A)) ) )  =>  ~ ( (k2_seq_4(A)=k3_seq_4(A) &  (! [B] :  (v1_xreal_0(B) =>  ~ (A=k1_seq_4(B)) ) ) ) ) ) ) ).
fof(t12_cousin2, axiom,  (! [A] :  (! [B] :  (v1_funct_1(k5_funct_3(A, B)) &  (v1_funct_2(k5_funct_3(A, B), B, k1_numbers) & m1_subset_1(k5_funct_3(A, B), k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) ) ) ) ).
fof(t13_cousin2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_numbers)) =>  (r1_tarski(C, k2_rcomp_1(A, B)) => v3_xxreal_2(C)) ) ) ) ) ) ) ).
fof(t14_cousin2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_numbers)) =>  (r1_tarski(C, k2_rcomp_1(B, A)) => v4_xxreal_2(C)) ) ) ) ) ) ) ).
fof(t15_cousin2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v3_valued_0(C)) )  =>  (r1_tarski(k1_rvsum_1(C), k1_rcomp_1(A, B)) => v1_comseq_2(C)) ) ) ) ) ) ) ).
fof(t16_cousin2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) => r1_tarski(k2_tarski(A, B), k1_rcomp_1(A, B))) ) ) ) ) ).
fof(t17_cousin2, axiom,  (! [A] :  (! [B] : v1_comseq_2(k5_funct_3(A, B))) ) ).
fof(t18_cousin2, axiom,  (! [A] :  (! [B] :  (r1_xboole_0(A, B) =>  (! [C] :  (m1_subset_1(C, A) => k1_funct_1(k5_funct_3(B, A), C)=k5_numbers) ) ) ) ) ).
fof(t19_cousin2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v3_funct_1(B) <=>  (? [C] :  (v1_xreal_0(C) & r2_relset_1(A, k1_numbers, B, k26_valued_1(A, k2_tarski(k5_ordinal1, 1), k5_funct_3(A, A), C))) ) ) ) ) ) ) ).
fof(t20_cousin2, axiom,  (! [A] : v1_partfun3(k5_funct_3(A, A))) ).
fof(t21_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (v2_integra1(C, A) => r1_xxreal_0(k7_integra1(A, C, B), k11_integra1(A, C))) ) ) ) ) ) ) ).
fof(t22_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (v1_integra1(C, A) => r1_xxreal_0(k10_integra1(A, C), k6_integra1(A, C, B))) ) ) ) ) ) ) ).
fof(d4_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (B=k3_cousin2(A) <=>  (! [C] :  (r2_tarski(C, B) <=> m1_cousin(C, A)) ) ) ) ) ) ).
fof(d5_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_cousin(B, A) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v7_valued_0(C) & m2_finseq_1(C, k1_numbers)) )  =>  (C=k4_cousin2(A, B) <=>  (? [D] :  (m1_integra1(D, A) &  (? [E] :  (m2_subset_1(E, k3_finseq_2(k1_numbers), k2_cousin(A, D)) &  (C=E & B=k4_tarski(D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_cousin(B, A) =>  (! [C] :  (m1_integra1(C, A) =>  (! [D] :  (m2_subset_1(D, k3_finseq_2(k1_numbers), k2_cousin(A, C)) =>  (B=k4_tarski(C, D) =>  (D=k4_cousin2(A, B) & r2_relset_1(k4_ordinal1, k1_numbers, C, k4_cousin(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(t24_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_cousin(B, A) => k3_finseq_1(k4_cousin2(A, B))=k3_finseq_1(k4_cousin(A, B))) ) ) ) ).
fof(d6_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_cousin(B, A) => k5_cousin2(A, B)=k3_finseq_1(k4_cousin(A, B))) ) ) ) ).
fof(d7_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_cousin(B, A) => k6_cousin2(A, B)=k1_relset_1(k4_ordinal1, k4_cousin(A, B))) ) ) ) ).
fof(t25_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  (m2_subset_1(C, k3_finseq_2(k1_numbers), k2_cousin(A, B)) => r1_tarski(k10_xtuple_0(C), A)) ) ) ) ) ) ).
fof(t26_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) &  (v1_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v1_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v1_cousin(D, A, B) & m1_cousin(D, A))  =>  (r1_cousin2(A, B, C) =>  (v1_cousin(D, A, C) & m1_cousin(D, A)) ) ) ) ) ) ) ) ) ) ).
fof(d8_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (m1_cousin(C, A) =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  (D=k7_cousin2(A, B, C) <=>  (k3_finseq_1(D)=k5_cousin2(A, C) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k6_cousin2(A, C)) => k1_funct_1(D, E)=k3_xcmplx_0(k1_funct_1(B, k1_funct_1(k4_cousin2(A, C), E)), k3_integra1(k2_integra1(A, k4_cousin(A, C), E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (m1_cousin(C, A) => k8_cousin2(A, B, C)=k18_rvsum_1(k7_cousin2(A, B, C))) ) ) ) ) ) ).
fof(t27_cousin2, axiom,  (! [A] :  (! [B] :  (r1_tarski(B, A) => r2_relset_1(B, k2_tarski(k5_ordinal1, 1), k5_funct_3(A, B), k5_funct_3(B, B))) ) ) ).
fof(t28_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (v1_zfmisc_1(A) =>  (v1_xboole_0(A) | k3_integra1(A)=k5_numbers) ) ) ) ).
fof(t29_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (v1_xreal_0(B) =>  (A=k1_seq_4(B) =>  (! [C] :  (m1_integra1(C, A) => C=k9_finseq_1(B)) ) ) ) ) ) ) ).
fof(d10_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_cousin2(B, A) <=>  (? [C] :  (v1_xreal_0(C) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k1_numbers) &  (v1_partfun3(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (? [F] :  (m1_cousin(F, A) &  (v1_cousin(F, A, E) &  ~ (r1_xxreal_0(k9_complex1(k6_xcmplx_0(k8_cousin2(A, B, F), C)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_cousin2(B, A) =>  (! [C] :  (v1_xreal_0(C) =>  (C=k9_cousin2(A, B) <=>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k1_numbers) &  (v1_partfun3(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (? [F] :  (m1_cousin(F, A) &  (v1_cousin(F, A, E) &  ~ (r1_xxreal_0(k9_complex1(k6_xcmplx_0(k8_cousin2(A, B, F), C)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_zfmisc_1(A) =>  (v1_cousin2(B, A) & k9_cousin2(A, B)=k5_numbers) ) ) ) ) ) ).
fof(t31_cousin2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  (m1_cousin(C, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  ( (r1_xboole_0(A, B) & r1_funct_2(B, k1_numbers, B, k2_tarski(k5_ordinal1, 1), D, k5_funct_3(A, B)))  => k8_cousin2(B, D, C)=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(t32_cousin2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  ( (r1_xboole_0(A, B) & r1_funct_2(B, k1_numbers, B, k2_tarski(k5_ordinal1, 1), C, k5_funct_3(A, B)))  =>  (v1_cousin2(C, B) & k9_cousin2(B, C)=k5_numbers) ) ) ) ) ) ) ) ).
fof(t33_cousin2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  ( (r1_tarski(B, A) & r1_funct_2(B, k1_numbers, B, k2_tarski(k5_ordinal1, 1), C, k5_funct_3(A, B)))  =>  (v1_cousin2(C, B) & k9_cousin2(B, C)=k3_integra1(B)) ) ) ) ) ) ) ) ).
fof(t34_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_cousin(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v1_cousin2(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k6_cousin2(A, B)) => k1_funct_1(k7_cousin2(A, k26_valued_1(A, k1_numbers, C, D), B), E)=k3_xcmplx_0(k3_xcmplx_0(D, k1_funct_1(C, k1_funct_1(k4_cousin2(A, B), E))), k3_integra1(k2_integra1(A, k4_cousin(A, B), E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_cousin(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v1_cousin2(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  (v1_xreal_0(D) => r2_relset_1(k4_ordinal1, k1_numbers, k7_cousin2(A, k26_valued_1(A, k1_numbers, C, D), B), k10_rvsum_1(k7_cousin2(A, C, B), D))) ) ) ) ) ) ) ) ).
fof(t36_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_cousin(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v1_cousin2(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) &  (v1_cousin2(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k6_cousin2(A, B)) => k1_funct_1(k7_cousin2(A, k3_valued_1(A, k1_numbers, k1_numbers, C, D), B), E)=k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(C, k1_funct_1(k4_cousin2(A, B), E)), k3_integra1(k2_integra1(A, k4_cousin(A, B), E))), k3_xcmplx_0(k1_funct_1(D, k1_funct_1(k4_cousin2(A, B), E)), k3_integra1(k2_integra1(A, k4_cousin(A, B), E))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_cousin(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v1_cousin2(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) &  (v1_cousin2(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r2_relset_1(k4_ordinal1, k1_numbers, k7_cousin2(A, k3_valued_1(A, k1_numbers, k1_numbers, C, D), B), k4_rvsum_1(k7_cousin2(A, C, B), k7_cousin2(A, D, B)))) ) ) ) ) ) ) ) ).
fof(t38_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) &  (v1_cousin2(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  (v1_xreal_0(C) =>  (v1_cousin2(B, A) =>  ( (v1_funct_1(k26_valued_1(A, k1_numbers, B, C)) &  (v1_funct_2(k26_valued_1(A, k1_numbers, B, C), A, k1_numbers) &  (v1_cousin2(k26_valued_1(A, k1_numbers, B, C), A) & m1_subset_1(k26_valued_1(A, k1_numbers, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  & k9_cousin2(A, k26_valued_1(A, k1_numbers, B, C))=k3_xcmplx_0(C, k9_cousin2(A, B))) ) ) ) ) ) ) ) ).
fof(t39_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) &  (v1_cousin2(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v1_cousin2(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  ( (v1_funct_1(k3_valued_1(A, k1_numbers, k1_numbers, B, C)) &  (v1_funct_2(k3_valued_1(A, k1_numbers, k1_numbers, B, C), A, k1_numbers) &  (v1_cousin2(k3_valued_1(A, k1_numbers, k1_numbers, B, C), A) & m1_subset_1(k3_valued_1(A, k1_numbers, k1_numbers, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  & k9_cousin2(A, k3_valued_1(A, k1_numbers, k1_numbers, B, C))=k2_xcmplx_0(k9_cousin2(A, B), k9_cousin2(A, C))) ) ) ) ) ) ) ).
fof(t40_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v3_funct_1(B) =>  (v1_cousin2(B, A) &  (? [C] :  (v1_xreal_0(C) &  (r2_relset_1(A, k1_numbers, B, k26_valued_1(A, k2_tarski(k5_ordinal1, 1), k5_funct_3(A, A), C)) & k9_cousin2(A, B)=k3_xcmplx_0(C, k3_integra1(A))) ) ) ) ) ) ) ) ) ).
fof(t41_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) &  (v1_comseq_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (k9_complex1(k6_xcmplx_0(k2_seq_4(k2_relset_1(k1_numbers, B)), k3_seq_4(k2_relset_1(k1_numbers, B))))=k5_numbers <=> v3_funct_1(B)) ) ) ) ) ).
fof(t42_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ~ ( (v1_integra1(B, A) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (m1_integra1(D, A) & r1_xxreal_0(k6_integra1(A, B, D), C)) ) ) ) ) ) ) ) ) ) ).
fof(t43_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ~ ( (v2_integra1(B, A) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (m1_integra1(D, A) & r1_xxreal_0(C, k7_integra1(A, B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t44_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  (m1_integra1(C, A) =>  (! [D] :  (m1_integra1(D, A) =>  ( (k1_funct_1(C, 1)=k3_seq_4(A) & r2_relset_1(k4_ordinal1, k1_numbers, D, k2_rfinseq(k1_numbers, 1, C)))  =>  (k6_integra1(A, B, D)=k6_integra1(A, B, C) & k7_integra1(A, B, D)=k7_integra1(A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t45_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_cousin(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v1_comseq_2(C) &  (v3_integra1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k6_cousin2(A, B)) =>  (r1_xxreal_0(k1_funct_1(k5_integra1(A, C, k4_cousin(A, B)), D), k1_funct_1(k7_cousin2(A, C, B), D)) & r1_xxreal_0(k1_funct_1(k7_cousin2(A, C, B), D), k1_funct_1(k4_integra1(A, C, k4_cousin(A, B)), D))) ) ) ) ) ) ) ) ) ) ).
fof(t46_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_cousin(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v1_comseq_2(C) &  (v3_integra1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  =>  (r1_xxreal_0(k18_rvsum_1(k5_integra1(A, C, k4_cousin(A, B))), k18_rvsum_1(k7_cousin2(A, C, B))) & r1_xxreal_0(k18_rvsum_1(k7_cousin2(A, C, B)), k18_rvsum_1(k4_integra1(A, C, k4_cousin(A, B))))) ) ) ) ) ) ) ).
fof(t47_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) &  (v1_comseq_2(B) &  (v3_integra1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (v1_zfmisc_1(A))  &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (m1_integra1(D, A) =>  ~ ( ( ~ (k1_funct_1(D, 1)=k3_seq_4(A))  &  ( ~ (r1_xxreal_0(k2_xcmplx_0(k12_integra1(A, B), k7_xcmplx_0(C, 2)), k6_integra1(A, B, D)))  &  ( ~ (r1_xxreal_0(k7_integra1(A, B, D), k6_xcmplx_0(k12_integra1(A, B), k7_xcmplx_0(C, 2))))  &  ~ (r1_xxreal_0(C, k6_xcmplx_0(k6_integra1(A, B, D), k7_integra1(A, B, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v1_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  ~ ( (r2_relset_1(A, k1_numbers, C, k26_valued_1(A, k2_tarski(k5_ordinal1, 1), k5_funct_3(A, A), B)) & r1_xxreal_0(B, k5_numbers)) ) ) ) ) ) ) ) ).
fof(t49_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v1_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  (m1_cousin(D, A) =>  ( (r2_relset_1(A, k1_numbers, C, k26_valued_1(A, k2_tarski(k5_ordinal1, 1), k5_funct_3(A, A), B)) & v1_cousin(D, A, C))  => r1_xxreal_0(k1_integra3(A, k4_cousin(A, D)), B)) ) ) ) ) ) ) ) ) ).
fof(t50_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (? [D] :  (v7_ordinal1(D) &  (r2_tarski(D, k1_relset_1(k4_ordinal1, B)) & k2_xxreal_2(k2_relset_1(k1_numbers, k4_integra1(A, C, B)))=k1_funct_1(k4_integra1(A, C, B), D)) ) ) ) ) ) ) ) ) ).
fof(t51_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_cousin(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v1_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (m1_integra1(G, A) =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, A, k1_numbers) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, A, k1_numbers) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [J] :  (v1_xreal_0(J) =>  ( (r1_funct_2(A, k1_numbers, A, k2_tarski(k5_ordinal1, 1), H, k5_funct_3(A, A)) &  (D=k2_xxreal_2(k2_relset_1(k1_numbers, k4_integra1(A, H, G))) &  (E=k7_xcmplx_0(J, k3_xcmplx_0(k2_nat_1(2, k3_finseq_1(G)), k9_complex1(k6_xcmplx_0(k2_seq_4(k2_relset_1(k1_numbers, I)), k3_seq_4(k2_relset_1(k1_numbers, I)))))) &  (F=k7_xcmplx_0(k3_xxreal_0(D, E), 2) &  (r2_relset_1(A, k1_numbers, C, k26_valued_1(A, k1_numbers, H, F)) & v1_cousin(B, A, C)) ) ) ) )  =>  (r1_xxreal_0(D, k5_numbers) |  (r1_xxreal_0(E, k5_numbers) |  ( ~ (r1_xxreal_0(k2_xxreal_2(k2_relset_1(k1_numbers, k4_integra1(A, H, G))), k1_integra3(A, k4_cousin(A, B))))  &  ~ (r1_xxreal_0(k7_xcmplx_0(J, k3_xcmplx_0(k2_nat_1(2, k3_finseq_1(G)), k9_complex1(k6_xcmplx_0(k2_seq_4(k2_relset_1(k1_numbers, I)), k3_seq_4(k2_relset_1(k1_numbers, I)))))), k1_integra3(A, k4_cousin(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_cousin2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  ( (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k1_relset_1(k4_ordinal1, B)) => r1_xxreal_0(A, k1_funct_1(B, C))) ) )  =>  ( (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(C, k1_relset_1(k4_ordinal1, B)) & k1_funct_1(B, C)=A) ) ) )  | A=k2_xxreal_2(k2_relset_1(k1_numbers, B))) ) ) ) ) ) ).
fof(t53_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (r1_funct_2(A, k1_numbers, A, k2_tarski(k5_ordinal1, 1), C, k5_funct_3(A, A)) =>  (r1_xxreal_0(k5_numbers, k2_xxreal_2(k2_relset_1(k1_numbers, k4_integra1(A, C, B)))) &  ( (k5_numbers=k2_xxreal_2(k2_relset_1(k1_numbers, k4_integra1(A, C, B))) => k2_integra1(A, B, 1)=k1_rcomp_1(k1_funct_1(B, 1), k1_funct_1(B, 1)))  &  (k2_integra1(A, B, 1)=k1_rcomp_1(k1_funct_1(B, 1), k1_funct_1(B, 1)) => k5_numbers=k2_xxreal_2(k2_relset_1(k1_numbers, k4_integra1(A, C, B)))) ) ) ) ) ) ) ) ) ) ).
fof(t54_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (k2_integra1(A, B, 1)=k1_rcomp_1(k1_funct_1(B, 1), k1_funct_1(B, 1)) => k1_funct_1(B, 1)=k3_seq_4(A)) ) ) ) ) ).
fof(t55_cousin2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) &  (v1_comseq_2(B) &  (v3_integra1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  =>  (v1_cousin2(B, A) & k9_cousin2(A, B)=k12_integra1(A, B)) ) ) ) ) ).
fof(dt_k1_cousin2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  =>  (v1_funct_1(k1_cousin2(A, B, C)) &  (v1_funct_2(k1_cousin2(A, B, C), A, k1_numbers) & m1_subset_1(k1_cousin2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ).
fof(commutativity_k1_cousin2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  => k1_cousin2(A, B, C)=k1_cousin2(A, C, B)) ) ).
fof(dt_k2_cousin2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  =>  (v1_funct_1(k2_cousin2(A, B, C)) &  (v1_funct_2(k2_cousin2(A, B, C), A, k1_numbers) & m1_subset_1(k2_cousin2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ).
fof(commutativity_k2_cousin2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  => k2_cousin2(A, B, C)=k2_cousin2(A, C, B)) ) ).
fof(dt_k4_cousin2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  & m1_cousin(B, A))  =>  ( ~ (v1_xboole_0(k4_cousin2(A, B)))  &  (v7_valued_0(k4_cousin2(A, B)) & m2_finseq_1(k4_cousin2(A, B), k1_numbers)) ) ) ) ).
fof(dt_k5_cousin2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  & m1_cousin(B, A))  => m1_subset_1(k5_cousin2(A, B), k4_ordinal1)) ) ).
fof(dt_k7_cousin2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  & m1_cousin(C, A)) )  => m2_finseq_1(k7_cousin2(A, B, C), k1_numbers)) ) ).
fof(dt_k8_cousin2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  & m1_cousin(C, A)) )  => v1_xreal_0(k8_cousin2(A, B, C))) ) ).
fof(dt_k9_cousin2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => v1_xreal_0(k9_cousin2(A, B))) ) ).
fof(fc1_cqc_lang, axiom,  (! [A, B, C, D] :  ( (m1_qc_lang1(A) &  (v7_ordinal1(B) &  ( (v3_card_1(C, B) & m1_finseq_1(C, k2_qc_lang1(A)))  &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k5_qc_lang1(A), k2_qc_lang1(A))))) ) ) )  => v3_card_1(k1_cqc_lang(A, C, D), B)) ) ).
fof(fc2_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  ~ (v1_xboole_0(k3_cqc_lang(A))) ) ) ).
fof(rc1_cqc_lang, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & v7_ordinal1(B))  =>  (? [C] :  (m1_finseq_1(C, k2_qc_lang1(A)) &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, k2_qc_lang1(A)) &  (v5_relat_1(C, k3_qc_lang1(A)) &  (v1_funct_1(C) &  (v3_card_1(C, B) & v1_finseq_1(C)) ) ) ) ) ) ) ) ) ) ).
fof(t1_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (r2_tarski(B, k2_qc_lang1(A)) <=>  ~ ( ( ~ (r2_tarski(B, k4_qc_lang1(A)))  &  ( ~ (r2_tarski(B, k5_qc_lang1(A)))  &  ~ (r2_tarski(B, k3_qc_lang1(A))) ) ) ) ) ) ) ) ).
fof(d1_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k2_qc_lang1(A)) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k5_qc_lang1(A), k2_qc_lang1(A)))))  =>  (! [D] :  (m2_finseq_1(D, k2_qc_lang1(A)) =>  (D=k1_cqc_lang(A, B, C) <=>  (k3_finseq_1(D)=k3_finseq_1(B) &  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, k3_finseq_1(B)))  =>  ( (r2_tarski(k1_funct_1(B, E), k9_xtuple_0(C)) => k1_funct_1(D, E)=k1_funct_1(C, k1_funct_1(B, E)))  &  ( ~ (r2_tarski(k1_funct_1(B, E), k9_xtuple_0(C)))  => k1_funct_1(D, E)=k1_funct_1(B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k5_qc_lang1(A)) =>  (v1_funct_1(k17_funcop_1(C, B)) & m1_subset_1(k17_funcop_1(C, B), k1_zfmisc_1(k2_zfmisc_1(k5_qc_lang1(A), k2_qc_lang1(A))))) ) ) ) ) ) ) ).
fof(t3_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k5_qc_lang1(A), k2_qc_lang1(A)))))  =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [E] :  (m2_subset_1(E, k2_qc_lang1(A), k5_qc_lang1(A)) =>  (! [F] :  (m2_finseq_1(F, k2_qc_lang1(A)) =>  (! [G] :  (m2_finseq_1(G, k2_qc_lang1(A)) =>  ( (C=k2_cqc_lang(A, E, D) &  (G=k1_cqc_lang(A, F, C) &  (r1_xxreal_0(1, B) & r1_xxreal_0(B, k3_finseq_1(F))) ) )  =>  ( (k1_funct_1(F, B)=E => k1_funct_1(G, B)=D)  &  ( ~ (k1_funct_1(F, B)=E)  => k1_funct_1(G, B)=k1_funct_1(F, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) <=>  (k6_qc_lang3(A, B)=k1_xboole_0 & k5_qc_lang3(A, B)=k1_xboole_0) ) ) ) ) ) ).
fof(t6_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) => m2_subset_1(k12_qc_lang1(A), k9_qc_lang1(A), k3_cqc_lang(A))) ) ).
fof(t8_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (m2_subset_1(k13_qc_lang1(A, B), k9_qc_lang1(A), k3_cqc_lang(A)) <=> m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A))) ) ) ) ) ).
fof(t9_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (m2_subset_1(k14_qc_lang1(A, B, C), k9_qc_lang1(A), k3_cqc_lang(A)) <=>  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) & m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A))) ) ) ) ) ) ) ) ).
fof(t10_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => m2_subset_1(k2_qc_lang2(A, B, C), k9_qc_lang1(A), k3_cqc_lang(A))) ) ) ) ) ) ).
fof(t11_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => m2_subset_1(k3_qc_lang2(A, B, C), k9_qc_lang1(A), k3_cqc_lang(A))) ) ) ) ) ) ).
fof(t12_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => m2_subset_1(k4_qc_lang2(A, B, C), k9_qc_lang1(A), k3_cqc_lang(A))) ) ) ) ) ) ).
fof(t13_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (m2_subset_1(k15_qc_lang1(A, B, C), k9_qc_lang1(A), k3_cqc_lang(A)) <=> m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A))) ) ) ) ) ) ) ).
fof(t14_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => m2_subset_1(k5_qc_lang2(A, B, C), k9_qc_lang1(A), k3_cqc_lang(A))) ) ) ) ) ) ).
fof(d3_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m1_subset_1(D, k9_qc_lang1(A)) =>  (D=k13_cqc_lang(A, B, C) <=>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k9_qc_lang1(A), k9_qc_lang1(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k9_qc_lang1(A), k9_qc_lang1(A))))) )  &  (D=k3_funct_2(k9_qc_lang1(A), k9_qc_lang1(A), E, B) &  (! [F] :  (m1_subset_1(F, k9_qc_lang1(A)) =>  (k3_funct_2(k9_qc_lang1(A), k9_qc_lang1(A), E, k5_cqc_lang(A))=k5_cqc_lang(A) &  ( (v2_qc_lang1(F, A) => k3_funct_2(k9_qc_lang1(A), k9_qc_lang1(A), E, F)=k10_qc_lang1(A, k16_qc_lang1(A, F), k1_cqc_lang(A, k17_qc_lang1(A, F), k2_cqc_lang(A, k3_qc_lang3(A, k5_numbers), C))))  &  ( (v3_qc_lang1(F, A) => k3_funct_2(k9_qc_lang1(A), k9_qc_lang1(A), E, F)=k13_qc_lang1(A, k3_funct_2(k9_qc_lang1(A), k9_qc_lang1(A), E, k18_qc_lang1(A, F))))  &  ( (v4_qc_lang1(F, A) => k3_funct_2(k9_qc_lang1(A), k9_qc_lang1(A), E, F)=k14_qc_lang1(A, k3_funct_2(k9_qc_lang1(A), k9_qc_lang1(A), E, k19_qc_lang1(A, F)), k3_funct_2(k9_qc_lang1(A), k9_qc_lang1(A), E, k20_qc_lang1(A, F))))  &  (v5_qc_lang1(F, A) => k3_funct_2(k9_qc_lang1(A), k9_qc_lang1(A), E, F)=k16_funcop_1(k9_qc_lang1(A), k21_qc_lang1(A, F), C, F, k15_qc_lang1(A, k21_qc_lang1(A, F), k3_funct_2(k9_qc_lang1(A), k9_qc_lang1(A), E, k22_qc_lang1(A, F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) => k13_cqc_lang(A, k5_cqc_lang(A), B)=k5_cqc_lang(A)) ) ) ) ).
fof(t16_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (v2_qc_lang1(C, A) => k13_cqc_lang(A, C, B)=k10_qc_lang1(A, k16_qc_lang1(A, C), k1_cqc_lang(A, k17_qc_lang1(A, C), k2_cqc_lang(A, k3_qc_lang3(A, k5_numbers), B)))) ) ) ) ) ) ) ).
fof(t17_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_subset_1(D, k6_qc_lang1(A), k8_qc_lang1(A, C)) =>  (! [E] :  ( (v3_card_1(E, C) & m2_finseq_1(E, k2_qc_lang1(A)))  => k13_cqc_lang(A, k10_qc_lang1(A, D, E), B)=k10_qc_lang1(A, D, k1_cqc_lang(A, E, k2_cqc_lang(A, k3_qc_lang3(A, k5_numbers), B)))) ) ) ) ) ) ) ) ) ) ).
fof(t18_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (v3_qc_lang1(C, A) => k13_cqc_lang(A, C, B)=k13_qc_lang1(A, k13_cqc_lang(A, k18_qc_lang1(A, C), B))) ) ) ) ) ) ) ).
fof(t19_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) => k13_cqc_lang(A, k13_qc_lang1(A, C), B)=k13_qc_lang1(A, k13_cqc_lang(A, C, B))) ) ) ) ) ) ).
fof(t20_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (v4_qc_lang1(C, A) => k13_cqc_lang(A, C, B)=k14_qc_lang1(A, k13_cqc_lang(A, k19_qc_lang1(A, C), B), k13_cqc_lang(A, k20_qc_lang1(A, C), B))) ) ) ) ) ) ) ).
fof(t21_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m1_subset_1(D, k9_qc_lang1(A)) => k13_cqc_lang(A, k14_qc_lang1(A, C, D), B)=k14_qc_lang1(A, k13_cqc_lang(A, C, B), k13_cqc_lang(A, D, B))) ) ) ) ) ) ) ) ).
fof(t22_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  ( (v5_qc_lang1(C, A) & k21_qc_lang1(A, C)=B)  => k13_cqc_lang(A, C, B)=C) ) ) ) ) ) ) ).
fof(t23_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (v5_qc_lang1(C, A) =>  (k21_qc_lang1(A, C)=B | k13_cqc_lang(A, C, B)=k15_qc_lang1(A, k21_qc_lang1(A, C), k13_cqc_lang(A, k22_qc_lang1(A, C), B))) ) ) ) ) ) ) ) ).
fof(t24_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) => k13_cqc_lang(A, k15_qc_lang1(A, B, C), B)=k15_qc_lang1(A, B, C)) ) ) ) ) ) ).
fof(t25_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m1_subset_1(D, k9_qc_lang1(A)) =>  ( ~ (B=C)  => k13_cqc_lang(A, k15_qc_lang1(A, B, D), C)=k15_qc_lang1(A, B, k13_cqc_lang(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t26_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (k5_qc_lang3(A, C)=k1_xboole_0 => k13_cqc_lang(A, C, B)=C) ) ) ) ) ) ) ).
fof(t27_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => k13_cqc_lang(A, C, B)=C) ) ) ) ) ) ).
fof(t28_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) => k6_qc_lang3(A, k13_cqc_lang(A, C, B))=k6_qc_lang3(A, C)) ) ) ) ) ) ).
fof(s1_cqc_lang, axiom,  ( (! [A] :  (m2_subset_1(A, k9_qc_lang1(f1_s1_cqc_lang), k3_cqc_lang(f1_s1_cqc_lang)) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(f1_s1_cqc_lang), k3_cqc_lang(f1_s1_cqc_lang)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(f1_s1_cqc_lang), k3_qc_lang1(f1_s1_cqc_lang)) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v5_relat_1(E, k3_qc_lang1(f1_s1_cqc_lang)) &  (v3_card_1(E, D) & m2_finseq_1(E, k2_qc_lang1(f1_s1_cqc_lang))) )  =>  (! [F] :  (m2_subset_1(F, k6_qc_lang1(f1_s1_cqc_lang), k8_qc_lang1(f1_s1_cqc_lang, D)) =>  (p1_s1_cqc_lang(k5_cqc_lang(f1_s1_cqc_lang)) &  (p1_s1_cqc_lang(k4_cqc_lang(D, f1_s1_cqc_lang, F, E)) &  ( (p1_s1_cqc_lang(A) => p1_s1_cqc_lang(k6_cqc_lang(f1_s1_cqc_lang, A)))  &  ( ( (p1_s1_cqc_lang(A) & p1_s1_cqc_lang(B))  => p1_s1_cqc_lang(k7_cqc_lang(f1_s1_cqc_lang, A, B)))  &  (p1_s1_cqc_lang(A) => p1_s1_cqc_lang(k11_cqc_lang(f1_s1_cqc_lang, C, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [A] :  (m2_subset_1(A, k9_qc_lang1(f1_s1_cqc_lang), k3_cqc_lang(f1_s1_cqc_lang)) => p1_s1_cqc_lang(A)) ) ) ).
fof(s2_cqc_lang, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k3_cqc_lang(f1_s2_cqc_lang), f2_s2_cqc_lang) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(f1_s2_cqc_lang), f2_s2_cqc_lang)))) )  &  (k3_funct_2(k3_cqc_lang(f1_s2_cqc_lang), f2_s2_cqc_lang, A, k5_cqc_lang(f1_s2_cqc_lang))=f3_s2_cqc_lang &  (! [B] :  (m2_subset_1(B, k9_qc_lang1(f1_s2_cqc_lang), k3_cqc_lang(f1_s2_cqc_lang)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(f1_s2_cqc_lang), k3_cqc_lang(f1_s2_cqc_lang)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(f1_s2_cqc_lang), k3_qc_lang1(f1_s2_cqc_lang)) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( (v5_relat_1(F, k3_qc_lang1(f1_s2_cqc_lang)) &  (v3_card_1(F, E) & m2_finseq_1(F, k2_qc_lang1(f1_s2_cqc_lang))) )  =>  (! [G] :  (m2_subset_1(G, k6_qc_lang1(f1_s2_cqc_lang), k8_qc_lang1(f1_s2_cqc_lang, E)) =>  (k3_funct_2(k3_cqc_lang(f1_s2_cqc_lang), f2_s2_cqc_lang, A, k4_cqc_lang(E, f1_s2_cqc_lang, G, F))=f4_s2_cqc_lang(E, G, F) &  (k3_funct_2(k3_cqc_lang(f1_s2_cqc_lang), f2_s2_cqc_lang, A, k6_cqc_lang(f1_s2_cqc_lang, B))=f5_s2_cqc_lang(k3_funct_2(k3_cqc_lang(f1_s2_cqc_lang), f2_s2_cqc_lang, A, B)) &  (k3_funct_2(k3_cqc_lang(f1_s2_cqc_lang), f2_s2_cqc_lang, A, k7_cqc_lang(f1_s2_cqc_lang, B, C))=f6_s2_cqc_lang(k3_funct_2(k3_cqc_lang(f1_s2_cqc_lang), f2_s2_cqc_lang, A, B), k3_funct_2(k3_cqc_lang(f1_s2_cqc_lang), f2_s2_cqc_lang, A, C)) & k3_funct_2(k3_cqc_lang(f1_s2_cqc_lang), f2_s2_cqc_lang, A, k11_cqc_lang(f1_s2_cqc_lang, D, B))=f7_s2_cqc_lang(D, k3_funct_2(k3_cqc_lang(f1_s2_cqc_lang), f2_s2_cqc_lang, A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s3_cqc_lang, axiom,  ( ( (k3_funct_2(k3_cqc_lang(f1_s3_cqc_lang), f2_s3_cqc_lang, f3_s3_cqc_lang, k5_cqc_lang(f1_s3_cqc_lang))=f5_s3_cqc_lang &  (! [A] :  (m2_subset_1(A, k9_qc_lang1(f1_s3_cqc_lang), k3_cqc_lang(f1_s3_cqc_lang)) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(f1_s3_cqc_lang), k3_cqc_lang(f1_s3_cqc_lang)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(f1_s3_cqc_lang), k3_qc_lang1(f1_s3_cqc_lang)) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v5_relat_1(E, k3_qc_lang1(f1_s3_cqc_lang)) &  (v3_card_1(E, D) & m2_finseq_1(E, k2_qc_lang1(f1_s3_cqc_lang))) )  =>  (! [F] :  (m2_subset_1(F, k6_qc_lang1(f1_s3_cqc_lang), k8_qc_lang1(f1_s3_cqc_lang, D)) =>  (k3_funct_2(k3_cqc_lang(f1_s3_cqc_lang), f2_s3_cqc_lang, f3_s3_cqc_lang, k4_cqc_lang(D, f1_s3_cqc_lang, F, E))=f6_s3_cqc_lang(D, F, E) &  (k3_funct_2(k3_cqc_lang(f1_s3_cqc_lang), f2_s3_cqc_lang, f3_s3_cqc_lang, k6_cqc_lang(f1_s3_cqc_lang, A))=f7_s3_cqc_lang(k3_funct_2(k3_cqc_lang(f1_s3_cqc_lang), f2_s3_cqc_lang, f3_s3_cqc_lang, A)) &  (k3_funct_2(k3_cqc_lang(f1_s3_cqc_lang), f2_s3_cqc_lang, f3_s3_cqc_lang, k7_cqc_lang(f1_s3_cqc_lang, A, B))=f8_s3_cqc_lang(k3_funct_2(k3_cqc_lang(f1_s3_cqc_lang), f2_s3_cqc_lang, f3_s3_cqc_lang, A), k3_funct_2(k3_cqc_lang(f1_s3_cqc_lang), f2_s3_cqc_lang, f3_s3_cqc_lang, B)) & k3_funct_2(k3_cqc_lang(f1_s3_cqc_lang), f2_s3_cqc_lang, f3_s3_cqc_lang, k11_cqc_lang(f1_s3_cqc_lang, C, A))=f9_s3_cqc_lang(C, k3_funct_2(k3_cqc_lang(f1_s3_cqc_lang), f2_s3_cqc_lang, f3_s3_cqc_lang, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (k3_funct_2(k3_cqc_lang(f1_s3_cqc_lang), f2_s3_cqc_lang, f4_s3_cqc_lang, k5_cqc_lang(f1_s3_cqc_lang))=f5_s3_cqc_lang &  (! [A] :  (m2_subset_1(A, k9_qc_lang1(f1_s3_cqc_lang), k3_cqc_lang(f1_s3_cqc_lang)) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(f1_s3_cqc_lang), k3_cqc_lang(f1_s3_cqc_lang)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(f1_s3_cqc_lang), k3_qc_lang1(f1_s3_cqc_lang)) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v5_relat_1(E, k3_qc_lang1(f1_s3_cqc_lang)) &  (v3_card_1(E, D) & m2_finseq_1(E, k2_qc_lang1(f1_s3_cqc_lang))) )  =>  (! [F] :  (m2_subset_1(F, k6_qc_lang1(f1_s3_cqc_lang), k8_qc_lang1(f1_s3_cqc_lang, D)) =>  (k3_funct_2(k3_cqc_lang(f1_s3_cqc_lang), f2_s3_cqc_lang, f4_s3_cqc_lang, k4_cqc_lang(D, f1_s3_cqc_lang, F, E))=f6_s3_cqc_lang(D, F, E) &  (k3_funct_2(k3_cqc_lang(f1_s3_cqc_lang), f2_s3_cqc_lang, f4_s3_cqc_lang, k6_cqc_lang(f1_s3_cqc_lang, A))=f7_s3_cqc_lang(k3_funct_2(k3_cqc_lang(f1_s3_cqc_lang), f2_s3_cqc_lang, f4_s3_cqc_lang, A)) &  (k3_funct_2(k3_cqc_lang(f1_s3_cqc_lang), f2_s3_cqc_lang, f4_s3_cqc_lang, k7_cqc_lang(f1_s3_cqc_lang, A, B))=f8_s3_cqc_lang(k3_funct_2(k3_cqc_lang(f1_s3_cqc_lang), f2_s3_cqc_lang, f4_s3_cqc_lang, A), k3_funct_2(k3_cqc_lang(f1_s3_cqc_lang), f2_s3_cqc_lang, f4_s3_cqc_lang, B)) & k3_funct_2(k3_cqc_lang(f1_s3_cqc_lang), f2_s3_cqc_lang, f4_s3_cqc_lang, k11_cqc_lang(f1_s3_cqc_lang, C, A))=f9_s3_cqc_lang(C, k3_funct_2(k3_cqc_lang(f1_s3_cqc_lang), f2_s3_cqc_lang, f4_s3_cqc_lang, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  => r2_funct_2(k3_cqc_lang(f1_s3_cqc_lang), f2_s3_cqc_lang, f3_s3_cqc_lang, f4_s3_cqc_lang)) ).
fof(s4_cqc_lang, axiom,  ( (? [A] :  (m1_subset_1(A, f2_s4_cqc_lang) &  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k3_cqc_lang(f1_s4_cqc_lang), f2_s4_cqc_lang) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(f1_s4_cqc_lang), f2_s4_cqc_lang)))) )  &  (A=k3_funct_2(k3_cqc_lang(f1_s4_cqc_lang), f2_s4_cqc_lang, B, f3_s4_cqc_lang) &  (k3_funct_2(k3_cqc_lang(f1_s4_cqc_lang), f2_s4_cqc_lang, B, k5_cqc_lang(f1_s4_cqc_lang))=f4_s4_cqc_lang &  (! [C] :  (m2_subset_1(C, k9_qc_lang1(f1_s4_cqc_lang), k3_cqc_lang(f1_s4_cqc_lang)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(f1_s4_cqc_lang), k3_cqc_lang(f1_s4_cqc_lang)) =>  (! [E] :  (m2_subset_1(E, k2_qc_lang1(f1_s4_cqc_lang), k3_qc_lang1(f1_s4_cqc_lang)) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  ( (v5_relat_1(G, k3_qc_lang1(f1_s4_cqc_lang)) &  (v3_card_1(G, F) & m2_finseq_1(G, k2_qc_lang1(f1_s4_cqc_lang))) )  =>  (! [H] :  (m2_subset_1(H, k6_qc_lang1(f1_s4_cqc_lang), k8_qc_lang1(f1_s4_cqc_lang, F)) =>  (k3_funct_2(k3_cqc_lang(f1_s4_cqc_lang), f2_s4_cqc_lang, B, k4_cqc_lang(F, f1_s4_cqc_lang, H, G))=f5_s4_cqc_lang(F, H, G) &  (k3_funct_2(k3_cqc_lang(f1_s4_cqc_lang), f2_s4_cqc_lang, B, k6_cqc_lang(f1_s4_cqc_lang, C))=f6_s4_cqc_lang(k3_funct_2(k3_cqc_lang(f1_s4_cqc_lang), f2_s4_cqc_lang, B, C)) &  (k3_funct_2(k3_cqc_lang(f1_s4_cqc_lang), f2_s4_cqc_lang, B, k7_cqc_lang(f1_s4_cqc_lang, C, D))=f7_s4_cqc_lang(k3_funct_2(k3_cqc_lang(f1_s4_cqc_lang), f2_s4_cqc_lang, B, C), k3_funct_2(k3_cqc_lang(f1_s4_cqc_lang), f2_s4_cqc_lang, B, D)) & k3_funct_2(k3_cqc_lang(f1_s4_cqc_lang), f2_s4_cqc_lang, B, k11_cqc_lang(f1_s4_cqc_lang, E, C))=f8_s4_cqc_lang(E, k3_funct_2(k3_cqc_lang(f1_s4_cqc_lang), f2_s4_cqc_lang, B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (! [A] :  (m1_subset_1(A, f2_s4_cqc_lang) =>  (! [B] :  (m1_subset_1(B, f2_s4_cqc_lang) =>  ~ ( ( (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k3_cqc_lang(f1_s4_cqc_lang), f2_s4_cqc_lang) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(f1_s4_cqc_lang), f2_s4_cqc_lang)))) )  &  (A=k3_funct_2(k3_cqc_lang(f1_s4_cqc_lang), f2_s4_cqc_lang, C, f3_s4_cqc_lang) &  (k3_funct_2(k3_cqc_lang(f1_s4_cqc_lang), f2_s4_cqc_lang, C, k5_cqc_lang(f1_s4_cqc_lang))=f4_s4_cqc_lang &  (! [D] :  (m2_subset_1(D, k9_qc_lang1(f1_s4_cqc_lang), k3_cqc_lang(f1_s4_cqc_lang)) =>  (! [E] :  (m2_subset_1(E, k9_qc_lang1(f1_s4_cqc_lang), k3_cqc_lang(f1_s4_cqc_lang)) =>  (! [F] :  (m2_subset_1(F, k2_qc_lang1(f1_s4_cqc_lang), k3_qc_lang1(f1_s4_cqc_lang)) =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  ( (v5_relat_1(H, k3_qc_lang1(f1_s4_cqc_lang)) &  (v3_card_1(H, G) & m2_finseq_1(H, k2_qc_lang1(f1_s4_cqc_lang))) )  =>  (! [I] :  (m2_subset_1(I, k6_qc_lang1(f1_s4_cqc_lang), k8_qc_lang1(f1_s4_cqc_lang, G)) =>  (k3_funct_2(k3_cqc_lang(f1_s4_cqc_lang), f2_s4_cqc_lang, C, k4_cqc_lang(G, f1_s4_cqc_lang, I, H))=f5_s4_cqc_lang(G, I, H) &  (k3_funct_2(k3_cqc_lang(f1_s4_cqc_lang), f2_s4_cqc_lang, C, k6_cqc_lang(f1_s4_cqc_lang, D))=f6_s4_cqc_lang(k3_funct_2(k3_cqc_lang(f1_s4_cqc_lang), f2_s4_cqc_lang, C, D)) &  (k3_funct_2(k3_cqc_lang(f1_s4_cqc_lang), f2_s4_cqc_lang, C, k7_cqc_lang(f1_s4_cqc_lang, D, E))=f7_s4_cqc_lang(k3_funct_2(k3_cqc_lang(f1_s4_cqc_lang), f2_s4_cqc_lang, C, D), k3_funct_2(k3_cqc_lang(f1_s4_cqc_lang), f2_s4_cqc_lang, C, E)) & k3_funct_2(k3_cqc_lang(f1_s4_cqc_lang), f2_s4_cqc_lang, C, k11_cqc_lang(f1_s4_cqc_lang, F, D))=f8_s4_cqc_lang(F, k3_funct_2(k3_cqc_lang(f1_s4_cqc_lang), f2_s4_cqc_lang, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k3_cqc_lang(f1_s4_cqc_lang), f2_s4_cqc_lang) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(f1_s4_cqc_lang), f2_s4_cqc_lang)))) )  &  (B=k3_funct_2(k3_cqc_lang(f1_s4_cqc_lang), f2_s4_cqc_lang, C, f3_s4_cqc_lang) &  (k3_funct_2(k3_cqc_lang(f1_s4_cqc_lang), f2_s4_cqc_lang, C, k5_cqc_lang(f1_s4_cqc_lang))=f4_s4_cqc_lang &  (! [D] :  (m2_subset_1(D, k9_qc_lang1(f1_s4_cqc_lang), k3_cqc_lang(f1_s4_cqc_lang)) =>  (! [E] :  (m2_subset_1(E, k9_qc_lang1(f1_s4_cqc_lang), k3_cqc_lang(f1_s4_cqc_lang)) =>  (! [F] :  (m2_subset_1(F, k2_qc_lang1(f1_s4_cqc_lang), k3_qc_lang1(f1_s4_cqc_lang)) =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  ( (v5_relat_1(H, k3_qc_lang1(f1_s4_cqc_lang)) &  (v3_card_1(H, G) & m2_finseq_1(H, k2_qc_lang1(f1_s4_cqc_lang))) )  =>  (! [I] :  (m2_subset_1(I, k6_qc_lang1(f1_s4_cqc_lang), k8_qc_lang1(f1_s4_cqc_lang, G)) =>  (k3_funct_2(k3_cqc_lang(f1_s4_cqc_lang), f2_s4_cqc_lang, C, k4_cqc_lang(G, f1_s4_cqc_lang, I, H))=f5_s4_cqc_lang(G, I, H) &  (k3_funct_2(k3_cqc_lang(f1_s4_cqc_lang), f2_s4_cqc_lang, C, k6_cqc_lang(f1_s4_cqc_lang, D))=f6_s4_cqc_lang(k3_funct_2(k3_cqc_lang(f1_s4_cqc_lang), f2_s4_cqc_lang, C, D)) &  (k3_funct_2(k3_cqc_lang(f1_s4_cqc_lang), f2_s4_cqc_lang, C, k7_cqc_lang(f1_s4_cqc_lang, D, E))=f7_s4_cqc_lang(k3_funct_2(k3_cqc_lang(f1_s4_cqc_lang), f2_s4_cqc_lang, C, D), k3_funct_2(k3_cqc_lang(f1_s4_cqc_lang), f2_s4_cqc_lang, C, E)) & k3_funct_2(k3_cqc_lang(f1_s4_cqc_lang), f2_s4_cqc_lang, C, k11_cqc_lang(f1_s4_cqc_lang, F, D))=f8_s4_cqc_lang(F, k3_funct_2(k3_cqc_lang(f1_s4_cqc_lang), f2_s4_cqc_lang, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ~ (A=B) ) ) ) ) ) ) ) ) ).
fof(s5_cqc_lang, axiom,  ( (! [A] :  (m2_subset_1(A, k9_qc_lang1(f1_s5_cqc_lang), k3_cqc_lang(f1_s5_cqc_lang)) =>  (! [B] :  (m1_subset_1(B, f2_s5_cqc_lang) =>  (B=f3_s5_cqc_lang(A) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k3_cqc_lang(f1_s5_cqc_lang), f2_s5_cqc_lang) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(f1_s5_cqc_lang), f2_s5_cqc_lang)))) )  &  (B=k3_funct_2(k3_cqc_lang(f1_s5_cqc_lang), f2_s5_cqc_lang, C, A) &  (k3_funct_2(k3_cqc_lang(f1_s5_cqc_lang), f2_s5_cqc_lang, C, k5_cqc_lang(f1_s5_cqc_lang))=f4_s5_cqc_lang &  (! [D] :  (m2_subset_1(D, k9_qc_lang1(f1_s5_cqc_lang), k3_cqc_lang(f1_s5_cqc_lang)) =>  (! [E] :  (m2_subset_1(E, k9_qc_lang1(f1_s5_cqc_lang), k3_cqc_lang(f1_s5_cqc_lang)) =>  (! [F] :  (m2_subset_1(F, k2_qc_lang1(f1_s5_cqc_lang), k3_qc_lang1(f1_s5_cqc_lang)) =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  ( (v5_relat_1(H, k3_qc_lang1(f1_s5_cqc_lang)) &  (v3_card_1(H, G) & m2_finseq_1(H, k2_qc_lang1(f1_s5_cqc_lang))) )  =>  (! [I] :  (m2_subset_1(I, k6_qc_lang1(f1_s5_cqc_lang), k8_qc_lang1(f1_s5_cqc_lang, G)) =>  (k3_funct_2(k3_cqc_lang(f1_s5_cqc_lang), f2_s5_cqc_lang, C, k4_cqc_lang(G, f1_s5_cqc_lang, I, H))=f5_s5_cqc_lang(G, I, H) &  (k3_funct_2(k3_cqc_lang(f1_s5_cqc_lang), f2_s5_cqc_lang, C, k6_cqc_lang(f1_s5_cqc_lang, D))=f6_s5_cqc_lang(k3_funct_2(k3_cqc_lang(f1_s5_cqc_lang), f2_s5_cqc_lang, C, D)) &  (k3_funct_2(k3_cqc_lang(f1_s5_cqc_lang), f2_s5_cqc_lang, C, k7_cqc_lang(f1_s5_cqc_lang, D, E))=f7_s5_cqc_lang(k3_funct_2(k3_cqc_lang(f1_s5_cqc_lang), f2_s5_cqc_lang, C, D), k3_funct_2(k3_cqc_lang(f1_s5_cqc_lang), f2_s5_cqc_lang, C, E)) & k3_funct_2(k3_cqc_lang(f1_s5_cqc_lang), f2_s5_cqc_lang, C, k11_cqc_lang(f1_s5_cqc_lang, F, D))=f8_s5_cqc_lang(F, k3_funct_2(k3_cqc_lang(f1_s5_cqc_lang), f2_s5_cqc_lang, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  => f3_s5_cqc_lang(k5_cqc_lang(f1_s5_cqc_lang))=f4_s5_cqc_lang) ).
fof(s6_cqc_lang, axiom,  ( (! [A] :  (m2_subset_1(A, k9_qc_lang1(f1_s6_cqc_lang), k3_cqc_lang(f1_s6_cqc_lang)) =>  (! [B] :  (m1_subset_1(B, f2_s6_cqc_lang) =>  (B=f4_s6_cqc_lang(A) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k3_cqc_lang(f1_s6_cqc_lang), f2_s6_cqc_lang) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(f1_s6_cqc_lang), f2_s6_cqc_lang)))) )  &  (B=k3_funct_2(k3_cqc_lang(f1_s6_cqc_lang), f2_s6_cqc_lang, C, A) &  (k3_funct_2(k3_cqc_lang(f1_s6_cqc_lang), f2_s6_cqc_lang, C, k5_cqc_lang(f1_s6_cqc_lang))=f3_s6_cqc_lang &  (! [D] :  (m2_subset_1(D, k9_qc_lang1(f1_s6_cqc_lang), k3_cqc_lang(f1_s6_cqc_lang)) =>  (! [E] :  (m2_subset_1(E, k9_qc_lang1(f1_s6_cqc_lang), k3_cqc_lang(f1_s6_cqc_lang)) =>  (! [F] :  (m2_subset_1(F, k2_qc_lang1(f1_s6_cqc_lang), k3_qc_lang1(f1_s6_cqc_lang)) =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  ( (v5_relat_1(H, k3_qc_lang1(f1_s6_cqc_lang)) &  (v3_card_1(H, G) & m2_finseq_1(H, k2_qc_lang1(f1_s6_cqc_lang))) )  =>  (! [I] :  (m2_subset_1(I, k6_qc_lang1(f1_s6_cqc_lang), k8_qc_lang1(f1_s6_cqc_lang, G)) =>  (k3_funct_2(k3_cqc_lang(f1_s6_cqc_lang), f2_s6_cqc_lang, C, k4_cqc_lang(G, f1_s6_cqc_lang, I, H))=f5_s6_cqc_lang(G, I, H) &  (k3_funct_2(k3_cqc_lang(f1_s6_cqc_lang), f2_s6_cqc_lang, C, k6_cqc_lang(f1_s6_cqc_lang, D))=f9_s6_cqc_lang(k3_funct_2(k3_cqc_lang(f1_s6_cqc_lang), f2_s6_cqc_lang, C, D)) &  (k3_funct_2(k3_cqc_lang(f1_s6_cqc_lang), f2_s6_cqc_lang, C, k7_cqc_lang(f1_s6_cqc_lang, D, E))=f10_s6_cqc_lang(k3_funct_2(k3_cqc_lang(f1_s6_cqc_lang), f2_s6_cqc_lang, C, D), k3_funct_2(k3_cqc_lang(f1_s6_cqc_lang), f2_s6_cqc_lang, C, E)) & k3_funct_2(k3_cqc_lang(f1_s6_cqc_lang), f2_s6_cqc_lang, C, k11_cqc_lang(f1_s6_cqc_lang, F, D))=f11_s6_cqc_lang(F, k3_funct_2(k3_cqc_lang(f1_s6_cqc_lang), f2_s6_cqc_lang, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  => f4_s6_cqc_lang(k4_cqc_lang(f6_s6_cqc_lang, f1_s6_cqc_lang, f7_s6_cqc_lang, f8_s6_cqc_lang))=f5_s6_cqc_lang(f6_s6_cqc_lang, f7_s6_cqc_lang, f8_s6_cqc_lang)) ).
fof(s7_cqc_lang, axiom,  ( (! [A] :  (m2_subset_1(A, k9_qc_lang1(f1_s7_cqc_lang), k3_cqc_lang(f1_s7_cqc_lang)) =>  (! [B] :  (m1_subset_1(B, f2_s7_cqc_lang) =>  (B=f3_s7_cqc_lang(A) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k3_cqc_lang(f1_s7_cqc_lang), f2_s7_cqc_lang) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(f1_s7_cqc_lang), f2_s7_cqc_lang)))) )  &  (B=k3_funct_2(k3_cqc_lang(f1_s7_cqc_lang), f2_s7_cqc_lang, C, A) &  (k3_funct_2(k3_cqc_lang(f1_s7_cqc_lang), f2_s7_cqc_lang, C, k5_cqc_lang(f1_s7_cqc_lang))=f4_s7_cqc_lang &  (! [D] :  (m2_subset_1(D, k9_qc_lang1(f1_s7_cqc_lang), k3_cqc_lang(f1_s7_cqc_lang)) =>  (! [E] :  (m2_subset_1(E, k9_qc_lang1(f1_s7_cqc_lang), k3_cqc_lang(f1_s7_cqc_lang)) =>  (! [F] :  (m2_subset_1(F, k2_qc_lang1(f1_s7_cqc_lang), k3_qc_lang1(f1_s7_cqc_lang)) =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  ( (v5_relat_1(H, k3_qc_lang1(f1_s7_cqc_lang)) &  (v3_card_1(H, G) & m2_finseq_1(H, k2_qc_lang1(f1_s7_cqc_lang))) )  =>  (! [I] :  (m2_subset_1(I, k6_qc_lang1(f1_s7_cqc_lang), k8_qc_lang1(f1_s7_cqc_lang, G)) =>  (k3_funct_2(k3_cqc_lang(f1_s7_cqc_lang), f2_s7_cqc_lang, C, k4_cqc_lang(G, f1_s7_cqc_lang, I, H))=f5_s7_cqc_lang(G, I, H) &  (k3_funct_2(k3_cqc_lang(f1_s7_cqc_lang), f2_s7_cqc_lang, C, k6_cqc_lang(f1_s7_cqc_lang, D))=f6_s7_cqc_lang(k3_funct_2(k3_cqc_lang(f1_s7_cqc_lang), f2_s7_cqc_lang, C, D)) &  (k3_funct_2(k3_cqc_lang(f1_s7_cqc_lang), f2_s7_cqc_lang, C, k7_cqc_lang(f1_s7_cqc_lang, D, E))=f8_s7_cqc_lang(k3_funct_2(k3_cqc_lang(f1_s7_cqc_lang), f2_s7_cqc_lang, C, D), k3_funct_2(k3_cqc_lang(f1_s7_cqc_lang), f2_s7_cqc_lang, C, E)) & k3_funct_2(k3_cqc_lang(f1_s7_cqc_lang), f2_s7_cqc_lang, C, k11_cqc_lang(f1_s7_cqc_lang, F, D))=f9_s7_cqc_lang(F, k3_funct_2(k3_cqc_lang(f1_s7_cqc_lang), f2_s7_cqc_lang, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  => f3_s7_cqc_lang(k6_cqc_lang(f1_s7_cqc_lang, f7_s7_cqc_lang))=f6_s7_cqc_lang(f3_s7_cqc_lang(f7_s7_cqc_lang))) ).
fof(s8_cqc_lang, axiom,  ( (! [A] :  (m2_subset_1(A, k9_qc_lang1(f1_s8_cqc_lang), k3_cqc_lang(f1_s8_cqc_lang)) =>  (! [B] :  (m1_subset_1(B, f2_s8_cqc_lang) =>  (B=f3_s8_cqc_lang(A) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k3_cqc_lang(f1_s8_cqc_lang), f2_s8_cqc_lang) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(f1_s8_cqc_lang), f2_s8_cqc_lang)))) )  &  (B=k3_funct_2(k3_cqc_lang(f1_s8_cqc_lang), f2_s8_cqc_lang, C, A) &  (k3_funct_2(k3_cqc_lang(f1_s8_cqc_lang), f2_s8_cqc_lang, C, k5_cqc_lang(f1_s8_cqc_lang))=f4_s8_cqc_lang &  (! [D] :  (m2_subset_1(D, k9_qc_lang1(f1_s8_cqc_lang), k3_cqc_lang(f1_s8_cqc_lang)) =>  (! [E] :  (m2_subset_1(E, k9_qc_lang1(f1_s8_cqc_lang), k3_cqc_lang(f1_s8_cqc_lang)) =>  (! [F] :  (m2_subset_1(F, k2_qc_lang1(f1_s8_cqc_lang), k3_qc_lang1(f1_s8_cqc_lang)) =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  ( (v5_relat_1(H, k3_qc_lang1(f1_s8_cqc_lang)) &  (v3_card_1(H, G) & m2_finseq_1(H, k2_qc_lang1(f1_s8_cqc_lang))) )  =>  (! [I] :  (m2_subset_1(I, k6_qc_lang1(f1_s8_cqc_lang), k8_qc_lang1(f1_s8_cqc_lang, G)) =>  (k3_funct_2(k3_cqc_lang(f1_s8_cqc_lang), f2_s8_cqc_lang, C, k4_cqc_lang(G, f1_s8_cqc_lang, I, H))=f5_s8_cqc_lang(G, I, H) &  (k3_funct_2(k3_cqc_lang(f1_s8_cqc_lang), f2_s8_cqc_lang, C, k6_cqc_lang(f1_s8_cqc_lang, D))=f6_s8_cqc_lang(k3_funct_2(k3_cqc_lang(f1_s8_cqc_lang), f2_s8_cqc_lang, C, D)) &  (k3_funct_2(k3_cqc_lang(f1_s8_cqc_lang), f2_s8_cqc_lang, C, k7_cqc_lang(f1_s8_cqc_lang, D, E))=f7_s8_cqc_lang(k3_funct_2(k3_cqc_lang(f1_s8_cqc_lang), f2_s8_cqc_lang, C, D), k3_funct_2(k3_cqc_lang(f1_s8_cqc_lang), f2_s8_cqc_lang, C, E)) & k3_funct_2(k3_cqc_lang(f1_s8_cqc_lang), f2_s8_cqc_lang, C, k11_cqc_lang(f1_s8_cqc_lang, F, D))=f10_s8_cqc_lang(F, k3_funct_2(k3_cqc_lang(f1_s8_cqc_lang), f2_s8_cqc_lang, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  => f3_s8_cqc_lang(k7_cqc_lang(f1_s8_cqc_lang, f8_s8_cqc_lang, f9_s8_cqc_lang))=f7_s8_cqc_lang(f3_s8_cqc_lang(f8_s8_cqc_lang), f3_s8_cqc_lang(f9_s8_cqc_lang))) ).
fof(s9_cqc_lang, axiom,  ( (! [A] :  (m2_subset_1(A, k9_qc_lang1(f1_s9_cqc_lang), k3_cqc_lang(f1_s9_cqc_lang)) =>  (! [B] :  (m1_subset_1(B, f2_s9_cqc_lang) =>  (B=f3_s9_cqc_lang(A) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k3_cqc_lang(f1_s9_cqc_lang), f2_s9_cqc_lang) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(f1_s9_cqc_lang), f2_s9_cqc_lang)))) )  &  (B=k3_funct_2(k3_cqc_lang(f1_s9_cqc_lang), f2_s9_cqc_lang, C, A) &  (k3_funct_2(k3_cqc_lang(f1_s9_cqc_lang), f2_s9_cqc_lang, C, k5_cqc_lang(f1_s9_cqc_lang))=f4_s9_cqc_lang &  (! [D] :  (m2_subset_1(D, k9_qc_lang1(f1_s9_cqc_lang), k3_cqc_lang(f1_s9_cqc_lang)) =>  (! [E] :  (m2_subset_1(E, k9_qc_lang1(f1_s9_cqc_lang), k3_cqc_lang(f1_s9_cqc_lang)) =>  (! [F] :  (m2_subset_1(F, k2_qc_lang1(f1_s9_cqc_lang), k3_qc_lang1(f1_s9_cqc_lang)) =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  ( (v5_relat_1(H, k3_qc_lang1(f1_s9_cqc_lang)) &  (v3_card_1(H, G) & m2_finseq_1(H, k2_qc_lang1(f1_s9_cqc_lang))) )  =>  (! [I] :  (m2_subset_1(I, k6_qc_lang1(f1_s9_cqc_lang), k8_qc_lang1(f1_s9_cqc_lang, G)) =>  (k3_funct_2(k3_cqc_lang(f1_s9_cqc_lang), f2_s9_cqc_lang, C, k4_cqc_lang(G, f1_s9_cqc_lang, I, H))=f5_s9_cqc_lang(G, I, H) &  (k3_funct_2(k3_cqc_lang(f1_s9_cqc_lang), f2_s9_cqc_lang, C, k6_cqc_lang(f1_s9_cqc_lang, D))=f6_s9_cqc_lang(k3_funct_2(k3_cqc_lang(f1_s9_cqc_lang), f2_s9_cqc_lang, C, D)) &  (k3_funct_2(k3_cqc_lang(f1_s9_cqc_lang), f2_s9_cqc_lang, C, k7_cqc_lang(f1_s9_cqc_lang, D, E))=f7_s9_cqc_lang(k3_funct_2(k3_cqc_lang(f1_s9_cqc_lang), f2_s9_cqc_lang, C, D), k3_funct_2(k3_cqc_lang(f1_s9_cqc_lang), f2_s9_cqc_lang, C, E)) & k3_funct_2(k3_cqc_lang(f1_s9_cqc_lang), f2_s9_cqc_lang, C, k11_cqc_lang(f1_s9_cqc_lang, F, D))=f8_s9_cqc_lang(F, k3_funct_2(k3_cqc_lang(f1_s9_cqc_lang), f2_s9_cqc_lang, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  => f3_s9_cqc_lang(k11_cqc_lang(f1_s9_cqc_lang, f9_s9_cqc_lang, f10_s9_cqc_lang))=f8_s9_cqc_lang(f9_s9_cqc_lang, f3_s9_cqc_lang(f10_s9_cqc_lang))) ).
fof(dt_k1_cqc_lang, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_finseq_1(B, k2_qc_lang1(A)) &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k5_qc_lang1(A), k2_qc_lang1(A))))) ) )  => m2_finseq_1(k1_cqc_lang(A, B, C), k2_qc_lang1(A))) ) ).
fof(dt_k2_cqc_lang, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k5_qc_lang1(A)) & m1_subset_1(C, k3_qc_lang1(A))) )  =>  (v1_funct_1(k2_cqc_lang(A, B, C)) & m1_subset_1(k2_cqc_lang(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k5_qc_lang1(A), k2_qc_lang1(A))))) ) ) ).
fof(redefinition_k2_cqc_lang, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k5_qc_lang1(A)) & m1_subset_1(C, k3_qc_lang1(A))) )  => k2_cqc_lang(A, B, C)=k17_funcop_1(B, C)) ) ).
fof(dt_k3_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) => m1_subset_1(k3_cqc_lang(A), k1_zfmisc_1(k9_qc_lang1(A)))) ) ).
fof(dt_k4_cqc_lang, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (m1_qc_lang1(B) &  (m1_subset_1(C, k8_qc_lang1(B, A)) &  (v5_relat_1(D, k3_qc_lang1(B)) &  (v3_card_1(D, A) & m1_finseq_1(D, k2_qc_lang1(B))) ) ) ) )  => m2_subset_1(k4_cqc_lang(A, B, C, D), k9_qc_lang1(B), k3_cqc_lang(B))) ) ).
fof(redefinition_k4_cqc_lang, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (m1_qc_lang1(B) &  (m1_subset_1(C, k8_qc_lang1(B, A)) &  (v5_relat_1(D, k3_qc_lang1(B)) &  (v3_card_1(D, A) & m1_finseq_1(D, k2_qc_lang1(B))) ) ) ) )  => k4_cqc_lang(A, B, C, D)=k10_qc_lang1(B, C, D)) ) ).
fof(dt_k5_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) => m2_subset_1(k5_cqc_lang(A), k9_qc_lang1(A), k3_cqc_lang(A))) ) ).
fof(redefinition_k5_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) => k5_cqc_lang(A)=k12_qc_lang1(A)) ) ).
fof(dt_k6_cqc_lang, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k3_cqc_lang(A)))  => m2_subset_1(k6_cqc_lang(A, B), k9_qc_lang1(A), k3_cqc_lang(A))) ) ).
fof(redefinition_k6_cqc_lang, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k3_cqc_lang(A)))  => k6_cqc_lang(A, B)=k13_qc_lang1(A, B)) ) ).
fof(dt_k7_cqc_lang, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_cqc_lang(A)) & m1_subset_1(C, k3_cqc_lang(A))) )  => m2_subset_1(k7_cqc_lang(A, B, C), k9_qc_lang1(A), k3_cqc_lang(A))) ) ).
fof(redefinition_k7_cqc_lang, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_cqc_lang(A)) & m1_subset_1(C, k3_cqc_lang(A))) )  => k7_cqc_lang(A, B, C)=k14_qc_lang1(A, B, C)) ) ).
fof(dt_k8_cqc_lang, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_cqc_lang(A)) & m1_subset_1(C, k3_cqc_lang(A))) )  => m2_subset_1(k8_cqc_lang(A, B, C), k9_qc_lang1(A), k3_cqc_lang(A))) ) ).
fof(redefinition_k8_cqc_lang, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_cqc_lang(A)) & m1_subset_1(C, k3_cqc_lang(A))) )  => k8_cqc_lang(A, B, C)=k2_qc_lang2(A, B, C)) ) ).
fof(dt_k9_cqc_lang, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_cqc_lang(A)) & m1_subset_1(C, k3_cqc_lang(A))) )  => m2_subset_1(k9_cqc_lang(A, B, C), k9_qc_lang1(A), k3_cqc_lang(A))) ) ).
fof(redefinition_k9_cqc_lang, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_cqc_lang(A)) & m1_subset_1(C, k3_cqc_lang(A))) )  => k9_cqc_lang(A, B, C)=k3_qc_lang2(A, B, C)) ) ).
fof(dt_k10_cqc_lang, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_cqc_lang(A)) & m1_subset_1(C, k3_cqc_lang(A))) )  => m2_subset_1(k10_cqc_lang(A, B, C), k9_qc_lang1(A), k3_cqc_lang(A))) ) ).
fof(redefinition_k10_cqc_lang, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_cqc_lang(A)) & m1_subset_1(C, k3_cqc_lang(A))) )  => k10_cqc_lang(A, B, C)=k4_qc_lang2(A, B, C)) ) ).
fof(dt_k11_cqc_lang, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_qc_lang1(A)) & m1_subset_1(C, k3_cqc_lang(A))) )  => m2_subset_1(k11_cqc_lang(A, B, C), k9_qc_lang1(A), k3_cqc_lang(A))) ) ).
fof(redefinition_k11_cqc_lang, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_qc_lang1(A)) & m1_subset_1(C, k3_cqc_lang(A))) )  => k11_cqc_lang(A, B, C)=k15_qc_lang1(A, B, C)) ) ).
fof(dt_k12_cqc_lang, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_qc_lang1(A)) & m1_subset_1(C, k3_cqc_lang(A))) )  => m2_subset_1(k12_cqc_lang(A, B, C), k9_qc_lang1(A), k3_cqc_lang(A))) ) ).
fof(redefinition_k12_cqc_lang, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_qc_lang1(A)) & m1_subset_1(C, k3_cqc_lang(A))) )  => k12_cqc_lang(A, B, C)=k5_qc_lang2(A, B, C)) ) ).
fof(dt_f1_s1_cqc_lang, axiom, m1_qc_lang1(f1_s1_cqc_lang)).
fof(dt_f1_s2_cqc_lang, axiom, m1_qc_lang1(f1_s2_cqc_lang)).
fof(dt_f2_s2_cqc_lang, axiom,  ~ (v1_xboole_0(f2_s2_cqc_lang)) ).
fof(dt_f3_s2_cqc_lang, axiom, m1_subset_1(f3_s2_cqc_lang, f2_s2_cqc_lang)).
fof(dt_f4_s2_cqc_lang, axiom,  (! [A, B, C] : m1_subset_1(f4_s2_cqc_lang(A, B, C), f2_s2_cqc_lang)) ).
fof(dt_f5_s2_cqc_lang, axiom,  (! [A] : m1_subset_1(f5_s2_cqc_lang(A), f2_s2_cqc_lang)) ).
fof(dt_f6_s2_cqc_lang, axiom,  (! [A, B] : m1_subset_1(f6_s2_cqc_lang(A, B), f2_s2_cqc_lang)) ).
fof(dt_f7_s2_cqc_lang, axiom,  (! [A, B] : m1_subset_1(f7_s2_cqc_lang(A, B), f2_s2_cqc_lang)) ).
fof(dt_f1_s3_cqc_lang, axiom, m1_qc_lang1(f1_s3_cqc_lang)).
fof(dt_f2_s3_cqc_lang, axiom,  ~ (v1_xboole_0(f2_s3_cqc_lang)) ).
fof(dt_f3_s3_cqc_lang, axiom,  (v1_funct_1(f3_s3_cqc_lang) &  (v1_funct_2(f3_s3_cqc_lang, k3_cqc_lang(f1_s3_cqc_lang), f2_s3_cqc_lang) & m1_subset_1(f3_s3_cqc_lang, k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(f1_s3_cqc_lang), f2_s3_cqc_lang)))) ) ).
fof(dt_f4_s3_cqc_lang, axiom,  (v1_funct_1(f4_s3_cqc_lang) &  (v1_funct_2(f4_s3_cqc_lang, k3_cqc_lang(f1_s3_cqc_lang), f2_s3_cqc_lang) & m1_subset_1(f4_s3_cqc_lang, k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(f1_s3_cqc_lang), f2_s3_cqc_lang)))) ) ).
fof(dt_f5_s3_cqc_lang, axiom, m1_subset_1(f5_s3_cqc_lang, f2_s3_cqc_lang)).
fof(dt_f6_s3_cqc_lang, axiom,  (! [A, B, C] : m1_subset_1(f6_s3_cqc_lang(A, B, C), f2_s3_cqc_lang)) ).
fof(dt_f7_s3_cqc_lang, axiom,  (! [A] : m1_subset_1(f7_s3_cqc_lang(A), f2_s3_cqc_lang)) ).
fof(dt_f8_s3_cqc_lang, axiom,  (! [A, B] : m1_subset_1(f8_s3_cqc_lang(A, B), f2_s3_cqc_lang)) ).
fof(dt_f9_s3_cqc_lang, axiom,  (! [A, B] : m1_subset_1(f9_s3_cqc_lang(A, B), f2_s3_cqc_lang)) ).
fof(dt_f1_s4_cqc_lang, axiom, m1_qc_lang1(f1_s4_cqc_lang)).
fof(dt_f2_s4_cqc_lang, axiom,  ~ (v1_xboole_0(f2_s4_cqc_lang)) ).
fof(dt_f3_s4_cqc_lang, axiom, m2_subset_1(f3_s4_cqc_lang, k9_qc_lang1(f1_s4_cqc_lang), k3_cqc_lang(f1_s4_cqc_lang))).
fof(dt_f4_s4_cqc_lang, axiom, m1_subset_1(f4_s4_cqc_lang, f2_s4_cqc_lang)).
fof(dt_f5_s4_cqc_lang, axiom,  (! [A, B, C] : m1_subset_1(f5_s4_cqc_lang(A, B, C), f2_s4_cqc_lang)) ).
fof(dt_f6_s4_cqc_lang, axiom,  (! [A] : m1_subset_1(f6_s4_cqc_lang(A), f2_s4_cqc_lang)) ).
fof(dt_f7_s4_cqc_lang, axiom,  (! [A, B] : m1_subset_1(f7_s4_cqc_lang(A, B), f2_s4_cqc_lang)) ).
fof(dt_f8_s4_cqc_lang, axiom,  (! [A, B] : m1_subset_1(f8_s4_cqc_lang(A, B), f2_s4_cqc_lang)) ).
fof(dt_f1_s5_cqc_lang, axiom, m1_qc_lang1(f1_s5_cqc_lang)).
fof(dt_f2_s5_cqc_lang, axiom,  ~ (v1_xboole_0(f2_s5_cqc_lang)) ).
fof(dt_f3_s5_cqc_lang, axiom,  (! [A] : m1_subset_1(f3_s5_cqc_lang(A), f2_s5_cqc_lang)) ).
fof(dt_f4_s5_cqc_lang, axiom, m1_subset_1(f4_s5_cqc_lang, f2_s5_cqc_lang)).
fof(dt_f5_s5_cqc_lang, axiom,  (! [A, B, C] : m1_subset_1(f5_s5_cqc_lang(A, B, C), f2_s5_cqc_lang)) ).
fof(dt_f6_s5_cqc_lang, axiom,  (! [A] : m1_subset_1(f6_s5_cqc_lang(A), f2_s5_cqc_lang)) ).
fof(dt_f7_s5_cqc_lang, axiom,  (! [A, B] : m1_subset_1(f7_s5_cqc_lang(A, B), f2_s5_cqc_lang)) ).
fof(dt_f8_s5_cqc_lang, axiom,  (! [A, B] : m1_subset_1(f8_s5_cqc_lang(A, B), f2_s5_cqc_lang)) ).
fof(dt_f1_s6_cqc_lang, axiom, m1_qc_lang1(f1_s6_cqc_lang)).
fof(dt_f2_s6_cqc_lang, axiom,  ~ (v1_xboole_0(f2_s6_cqc_lang)) ).
fof(dt_f3_s6_cqc_lang, axiom, m1_subset_1(f3_s6_cqc_lang, f2_s6_cqc_lang)).
fof(dt_f4_s6_cqc_lang, axiom,  (! [A] : m1_subset_1(f4_s6_cqc_lang(A), f2_s6_cqc_lang)) ).
fof(dt_f5_s6_cqc_lang, axiom,  (! [A, B, C] : m1_subset_1(f5_s6_cqc_lang(A, B, C), f2_s6_cqc_lang)) ).
fof(dt_f6_s6_cqc_lang, axiom, v7_ordinal1(f6_s6_cqc_lang)).
fof(dt_f7_s6_cqc_lang, axiom, m2_subset_1(f7_s6_cqc_lang, k6_qc_lang1(f1_s6_cqc_lang), k8_qc_lang1(f1_s6_cqc_lang, f6_s6_cqc_lang))).
fof(dt_f8_s6_cqc_lang, axiom,  (v5_relat_1(f8_s6_cqc_lang, k3_qc_lang1(f1_s6_cqc_lang)) &  (v3_card_1(f8_s6_cqc_lang, f6_s6_cqc_lang) & m2_finseq_1(f8_s6_cqc_lang, k2_qc_lang1(f1_s6_cqc_lang))) ) ).
fof(dt_f9_s6_cqc_lang, axiom,  (! [A] : m1_subset_1(f9_s6_cqc_lang(A), f2_s6_cqc_lang)) ).
fof(dt_f10_s6_cqc_lang, axiom,  (! [A, B] : m1_subset_1(f10_s6_cqc_lang(A, B), f2_s6_cqc_lang)) ).
fof(dt_f11_s6_cqc_lang, axiom,  (! [A, B] : m1_subset_1(f11_s6_cqc_lang(A, B), f2_s6_cqc_lang)) ).
fof(dt_f1_s7_cqc_lang, axiom, m1_qc_lang1(f1_s7_cqc_lang)).
fof(dt_f2_s7_cqc_lang, axiom,  ~ (v1_xboole_0(f2_s7_cqc_lang)) ).
fof(dt_f3_s7_cqc_lang, axiom,  (! [A] : m1_subset_1(f3_s7_cqc_lang(A), f2_s7_cqc_lang)) ).
fof(dt_f4_s7_cqc_lang, axiom, m1_subset_1(f4_s7_cqc_lang, f2_s7_cqc_lang)).
fof(dt_f5_s7_cqc_lang, axiom,  (! [A, B, C] : m1_subset_1(f5_s7_cqc_lang(A, B, C), f2_s7_cqc_lang)) ).
fof(dt_f6_s7_cqc_lang, axiom,  (! [A] : m1_subset_1(f6_s7_cqc_lang(A), f2_s7_cqc_lang)) ).
fof(dt_f7_s7_cqc_lang, axiom, m2_subset_1(f7_s7_cqc_lang, k9_qc_lang1(f1_s7_cqc_lang), k3_cqc_lang(f1_s7_cqc_lang))).
fof(dt_f8_s7_cqc_lang, axiom,  (! [A, B] : m1_subset_1(f8_s7_cqc_lang(A, B), f2_s7_cqc_lang)) ).
fof(dt_f9_s7_cqc_lang, axiom,  (! [A, B] : m1_subset_1(f9_s7_cqc_lang(A, B), f2_s7_cqc_lang)) ).
fof(dt_f1_s8_cqc_lang, axiom, m1_qc_lang1(f1_s8_cqc_lang)).
fof(dt_f2_s8_cqc_lang, axiom,  ~ (v1_xboole_0(f2_s8_cqc_lang)) ).
fof(dt_f3_s8_cqc_lang, axiom,  (! [A] : m1_subset_1(f3_s8_cqc_lang(A), f2_s8_cqc_lang)) ).
fof(dt_f4_s8_cqc_lang, axiom, m1_subset_1(f4_s8_cqc_lang, f2_s8_cqc_lang)).
fof(dt_f5_s8_cqc_lang, axiom,  (! [A, B, C] : m1_subset_1(f5_s8_cqc_lang(A, B, C), f2_s8_cqc_lang)) ).
fof(dt_f6_s8_cqc_lang, axiom,  (! [A] : m1_subset_1(f6_s8_cqc_lang(A), f2_s8_cqc_lang)) ).
fof(dt_f7_s8_cqc_lang, axiom,  (! [A, B] : m1_subset_1(f7_s8_cqc_lang(A, B), f2_s8_cqc_lang)) ).
fof(dt_f8_s8_cqc_lang, axiom, m2_subset_1(f8_s8_cqc_lang, k9_qc_lang1(f1_s8_cqc_lang), k3_cqc_lang(f1_s8_cqc_lang))).
fof(dt_f9_s8_cqc_lang, axiom, m2_subset_1(f9_s8_cqc_lang, k9_qc_lang1(f1_s8_cqc_lang), k3_cqc_lang(f1_s8_cqc_lang))).
fof(dt_f10_s8_cqc_lang, axiom,  (! [A, B] : m1_subset_1(f10_s8_cqc_lang(A, B), f2_s8_cqc_lang)) ).
fof(dt_f1_s9_cqc_lang, axiom, m1_qc_lang1(f1_s9_cqc_lang)).
fof(dt_f2_s9_cqc_lang, axiom,  ~ (v1_xboole_0(f2_s9_cqc_lang)) ).
fof(dt_f3_s9_cqc_lang, axiom,  (! [A] : m1_subset_1(f3_s9_cqc_lang(A), f2_s9_cqc_lang)) ).
fof(dt_f4_s9_cqc_lang, axiom, m1_subset_1(f4_s9_cqc_lang, f2_s9_cqc_lang)).
fof(dt_f5_s9_cqc_lang, axiom,  (! [A, B, C] : m1_subset_1(f5_s9_cqc_lang(A, B, C), f2_s9_cqc_lang)) ).
fof(dt_f6_s9_cqc_lang, axiom,  (! [A] : m1_subset_1(f6_s9_cqc_lang(A), f2_s9_cqc_lang)) ).
fof(dt_f7_s9_cqc_lang, axiom,  (! [A, B] : m1_subset_1(f7_s9_cqc_lang(A, B), f2_s9_cqc_lang)) ).
fof(dt_f8_s9_cqc_lang, axiom,  (! [A, B] : m1_subset_1(f8_s9_cqc_lang(A, B), f2_s9_cqc_lang)) ).
fof(dt_f9_s9_cqc_lang, axiom, m2_subset_1(f9_s9_cqc_lang, k2_qc_lang1(f1_s9_cqc_lang), k3_qc_lang1(f1_s9_cqc_lang))).
fof(dt_f10_s9_cqc_lang, axiom, m2_subset_1(f10_s9_cqc_lang, k9_qc_lang1(f1_s9_cqc_lang), k3_cqc_lang(f1_s9_cqc_lang))).
fof(dt_k13_cqc_lang, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k9_qc_lang1(A)) & m1_subset_1(C, k3_qc_lang1(A))) )  => m1_subset_1(k13_cqc_lang(A, B, C), k9_qc_lang1(A))) ) ).
fof(d2_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) => k3_cqc_lang(A)=a_1_0_cqc_lang(A)) ) ).
fof(t5_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_card_1(C, B) & m2_finseq_1(C, k2_qc_lang1(A)))  =>  ( (v5_relat_1(C, k3_qc_lang1(A)) &  (v3_card_1(C, B) & m2_finseq_1(C, k2_qc_lang1(A))) )  <=>  (a_3_0_cqc_lang(A, B, C)=k1_xboole_0 & a_3_1_cqc_lang(A, B, C)=k1_xboole_0) ) ) ) ) ) ) ) ).
fof(t7_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_subset_1(C, k6_qc_lang1(A), k8_qc_lang1(A, B)) =>  (! [D] :  ( (v3_card_1(D, B) & m2_finseq_1(D, k2_qc_lang1(A)))  =>  (m2_subset_1(k10_qc_lang1(A, C, D), k9_qc_lang1(A), k3_cqc_lang(A)) <=>  (a_3_0_cqc_lang(A, B, D)=k1_xboole_0 & a_3_1_cqc_lang(A, B, D)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_cqc_lang, axiom,  (! [A, B] :  (m1_qc_lang1(B) =>  (r2_hidden(A, a_1_0_cqc_lang(B)) <=>  (? [C] :  (m1_subset_1(C, k9_qc_lang1(B)) &  (A=C &  (k6_qc_lang3(B, C)=k1_xboole_0 & k5_qc_lang3(B, C)=k1_xboole_0) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_cqc_lang, axiom,  (! [A, B, C, D] :  ( (m1_qc_lang1(B) &  (v7_ordinal1(C) &  (v3_card_1(D, C) & m2_finseq_1(D, k2_qc_lang1(B))) ) )  =>  (r2_hidden(A, a_3_0_cqc_lang(B, C, D)) <=>  (? [E] :  (v7_ordinal1(E) &  (A=k1_funct_1(D, E) &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, k3_finseq_1(D)) & r2_tarski(k1_funct_1(D, E), k5_qc_lang1(B))) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_cqc_lang, axiom,  (! [A, B, C, D] :  ( (m1_qc_lang1(B) &  (v7_ordinal1(C) &  (v3_card_1(D, C) & m2_finseq_1(D, k2_qc_lang1(B))) ) )  =>  (r2_hidden(A, a_3_1_cqc_lang(B, C, D)) <=>  (? [E] :  (v7_ordinal1(E) &  (A=k1_funct_1(D, E) &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, k3_finseq_1(D)) & r2_tarski(k1_funct_1(D, E), k4_qc_lang1(B))) ) ) ) ) ) ) ) ).
fof(fc1_cqc_sim1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k3_cqc_lang(A)))  =>  ~ (v1_xboole_0(k12_cqc_sim1(A, B))) ) ) ).
fof(d1_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k1_qc_lang1(A)) =>  (C=k1_cqc_sim1(A, B) <=> k2_qc_lang3(A, C)=B) ) ) ) ) ) ) ).
fof(t1_cqc_sim1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => k9_relat_1(k1_funct_4(C, k17_funcop_1(A, B)), A)=k1_tarski(B)) ) ) ) ).
fof(t2_cqc_sim1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  => r1_tarski(k7_relat_1(k1_funct_4(E, k7_funcop_1(B, D)), A), k2_xboole_0(k7_relat_1(E, A), k1_tarski(D)))) ) ) ) ) ) ).
fof(t3_cqc_sim1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] : k7_relat_1(k1_funct_4(C, k17_funcop_1(A, B)), k6_subset_1(D, k1_tarski(A)))=k7_relat_1(C, k6_subset_1(D, k1_tarski(A)))) ) ) ) ) ).
fof(t4_cqc_sim1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( ~ (r2_tarski(B, k7_relat_1(C, k6_subset_1(D, k1_tarski(A)))))  => k7_relat_1(k1_funct_4(C, k17_funcop_1(A, B)), k6_subset_1(D, k1_tarski(A)))=k6_subset_1(k7_relat_1(k1_funct_4(C, k17_funcop_1(A, B)), D), k1_tarski(B))) ) ) ) ) ) ).
fof(t5_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ~ ( (v2_qc_lang1(B, A) &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_subset_1(D, k6_qc_lang1(A), k8_qc_lang1(A, C)) =>  (! [E] :  ( (v5_relat_1(E, k3_qc_lang1(A)) &  (v3_card_1(E, C) & m2_finseq_1(E, k2_qc_lang1(A))) )  =>  ~ (B=k4_cqc_lang(C, A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ~ ( (v3_qc_lang1(B, A) &  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ~ (B=k6_cqc_lang(A, C)) ) ) ) ) ) ) ) ) ).
fof(t7_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ~ ( (v4_qc_lang1(B, A) &  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ~ (B=k7_cqc_lang(A, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ~ ( (v5_qc_lang1(B, A) &  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ~ (B=k11_cqc_lang(A, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_qc_lang2(A, B, k6_cqc_lang(A, B))) ) ) ) ).
fof(t11_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r2_qc_lang2(A, B, k7_cqc_lang(A, B, C)) & r2_qc_lang2(A, C, k7_cqc_lang(A, B, C))) ) ) ) ) ) ) ).
fof(t12_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) => r2_qc_lang2(A, B, k11_cqc_lang(A, C, B))) ) ) ) ) ) ).
fof(t13_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v5_relat_1(C, k3_qc_lang1(A)) &  (v3_card_1(C, B) & m2_finseq_1(C, k2_qc_lang1(A))) )  =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, k3_finseq_1(C)))  => r2_tarski(k1_funct_1(C, D), k3_qc_lang1(A))) ) ) ) ) ) ) ) ) ).
fof(d2_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k3_cqc_lang(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k3_cqc_lang(A))))) )  =>  (! [D] :  (m2_funct_2(D, B, k3_cqc_lang(A), k9_funct_2(B, k3_cqc_lang(A))) =>  (D=k2_cqc_sim1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, B) =>  (! [F] :  (m2_subset_1(F, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (F=k3_funct_2(B, k3_cqc_lang(A), C, E) => k3_funct_2(B, k3_cqc_lang(A), D, E)=k6_cqc_lang(A, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A))))) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m2_funct_2(E, k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A), k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A))) =>  (E=k3_cqc_sim1(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, k1_qc_lang1(A)) =>  (! [G] :  (m2_funct_2(G, k3_qc_lang1(A), k3_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))) =>  (! [H] :  (m2_subset_1(H, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [I] :  (m2_subset_1(I, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (H=k2_binop_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k3_cqc_lang(A), B, F, G) & I=k2_binop_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k3_cqc_lang(A), C, k30_qc_lang1(A, F, D), G))  => k2_binop_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k3_cqc_lang(A), E, F, G)=k7_cqc_lang(A, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A))))) )  =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_funct_2(D, k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A), k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A))) =>  (D=k4_cqc_sim1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, k1_qc_lang1(A)) =>  (! [F] :  (m2_funct_2(F, k3_qc_lang1(A), k3_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))) =>  (! [G] :  (m2_subset_1(G, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (G=k1_binop_1(B, k28_qc_lang1(A, E), k1_funct_4(F, k17_funcop_1(C, k2_qc_lang3(A, E)))) => k2_binop_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k3_cqc_lang(A), D, E, F)=k11_cqc_lang(A, k2_qc_lang3(A, E), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_subset_1(C, k6_qc_lang1(A), k8_qc_lang1(A, B)) =>  (! [D] :  ( (v5_relat_1(D, k3_qc_lang1(A)) &  (v3_card_1(D, B) & m2_finseq_1(D, k2_qc_lang1(A))) )  =>  (! [E] :  (m2_funct_2(E, k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A), k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A))) =>  (E=k6_cqc_sim1(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, k1_qc_lang1(A)) =>  (! [G] :  (m2_funct_2(G, k3_qc_lang1(A), k3_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))) => k2_binop_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k3_cqc_lang(A), E, F, G)=k4_cqc_lang(B, A, C, k5_cqc_sim1(A, B, D, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (C=k7_cqc_sim1(A, B) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k3_cqc_lang(A), k4_ordinal1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(A), k4_ordinal1)))) )  &  (C=k3_funct_2(k3_cqc_lang(A), k4_ordinal1, D, B) &  (k3_funct_2(k3_cqc_lang(A), k4_ordinal1, D, k5_cqc_lang(A))=k5_numbers &  (! [E] :  (m2_subset_1(E, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [F] :  (m2_subset_1(F, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [G] :  (m2_subset_1(G, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [H] :  (v7_ordinal1(H) =>  (! [I] :  ( (v5_relat_1(I, k3_qc_lang1(A)) &  (v3_card_1(I, H) & m2_finseq_1(I, k2_qc_lang1(A))) )  =>  (! [J] :  (m2_subset_1(J, k6_qc_lang1(A), k8_qc_lang1(A, H)) =>  (k3_funct_2(k3_cqc_lang(A), k4_ordinal1, D, k4_cqc_lang(H, A, J, I))=k5_numbers &  (k3_funct_2(k3_cqc_lang(A), k4_ordinal1, D, k6_cqc_lang(A, E))=k3_funct_2(k3_cqc_lang(A), k4_ordinal1, D, E) &  (k3_funct_2(k3_cqc_lang(A), k4_ordinal1, D, k7_cqc_lang(A, E, F))=k1_nat_1(k3_funct_2(k3_cqc_lang(A), k4_ordinal1, D, E), k3_funct_2(k3_cqc_lang(A), k4_ordinal1, D, F)) & k3_funct_2(k3_cqc_lang(A), k4_ordinal1, D, k11_cqc_lang(A, G, E))=k1_nat_1(k3_funct_2(k3_cqc_lang(A), k4_ordinal1, D, E), 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k3_cqc_lang(A), k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(A), k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A)))))) )  =>  (B=k9_cqc_sim1(A) <=>  (r8_binop_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k3_cqc_lang(A), k8_cqc_sim1(A, B, k5_cqc_lang(A)), k8_funcop_1(k3_cqc_lang(A), k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k5_cqc_lang(A))) &  ( (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v5_relat_1(D, k3_qc_lang1(A)) &  (v3_card_1(D, C) & m2_finseq_1(D, k2_qc_lang1(A))) )  =>  (! [E] :  (m2_subset_1(E, k6_qc_lang1(A), k8_qc_lang1(A, C)) => r8_binop_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k3_cqc_lang(A), k8_cqc_sim1(A, B, k4_cqc_lang(C, A, E, D)), k6_cqc_sim1(A, C, E, D))) ) ) ) ) )  &  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m2_subset_1(E, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (r8_binop_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k3_cqc_lang(A), k8_cqc_sim1(A, B, k6_cqc_lang(A, C)), k2_cqc_sim1(A, k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k8_cqc_sim1(A, B, C))) &  (r8_binop_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k3_cqc_lang(A), k8_cqc_sim1(A, B, k7_cqc_lang(A, C, D)), k3_cqc_sim1(A, k8_cqc_sim1(A, B, C), k8_cqc_sim1(A, B, D), k7_cqc_sim1(A, C))) & r8_binop_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k3_cqc_lang(A), k8_cqc_sim1(A, B, k11_cqc_lang(A, E, C)), k4_cqc_sim1(A, k8_cqc_sim1(A, B, C), E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m1_subset_1(C, k1_qc_lang1(A)) =>  (! [D] :  (m2_funct_2(D, k3_qc_lang1(A), k3_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))) => k10_cqc_sim1(A, B, C, D)=k3_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A), k8_cqc_sim1(A, k9_cqc_sim1(A), B), k1_domain_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), C, D))) ) ) ) ) ) ) ) ).
fof(t14_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) => k7_cqc_sim1(A, k5_cqc_lang(A))=k5_numbers) ) ).
fof(t15_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v5_relat_1(C, k3_qc_lang1(A)) &  (v3_card_1(C, B) & m2_finseq_1(C, k2_qc_lang1(A))) )  =>  (! [D] :  (m2_subset_1(D, k6_qc_lang1(A), k8_qc_lang1(A, B)) => k7_cqc_sim1(A, k4_cqc_lang(B, A, D, C))=k5_numbers) ) ) ) ) ) ) ) ).
fof(t16_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) => k7_cqc_sim1(A, k6_cqc_lang(A, B))=k7_cqc_sim1(A, B)) ) ) ) ).
fof(t17_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => k7_cqc_sim1(A, k7_cqc_lang(A, B, C))=k1_nat_1(k7_cqc_sim1(A, B), k7_cqc_sim1(A, C))) ) ) ) ) ) ).
fof(t18_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) => k7_cqc_sim1(A, k11_cqc_lang(A, C, B))=k1_nat_1(k7_cqc_sim1(A, B), 1)) ) ) ) ) ) ).
fof(t19_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) => v1_finset_1(k24_qc_lang1(A, B))) ) ) ) ).
fof(d10_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) => k13_cqc_sim1(A, B)=k25_qc_lang1(A, k12_cqc_sim1(A, B))) ) ) ) ).
fof(t20_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (k13_cqc_sim1(A, B)=k26_qc_lang1(A) <=> v6_qc_lang1(B, A)) ) ) ) ) ).
fof(t21_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_qc_lang1(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r2_tarski(k2_qc_lang3(A, B), k24_qc_lang1(A, C)) => r2_qc_lang1(A, B, k13_cqc_sim1(A, C))) ) ) ) ) ) ) ).
fof(t22_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) => k13_cqc_sim1(A, k5_cqc_lang(A))=k26_qc_lang1(A)) ) ).
fof(t23_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) => k13_cqc_sim1(A, k6_cqc_lang(A, B))=k13_cqc_sim1(A, B)) ) ) ) ).
fof(t24_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r1_qc_lang1(A, k13_cqc_sim1(A, B), k13_cqc_sim1(A, k7_cqc_lang(A, B, C))) & r1_qc_lang1(A, k13_cqc_sim1(A, C), k13_cqc_sim1(A, k7_cqc_lang(A, B, C)))) ) ) ) ) ) ) ).
fof(d11_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) => k14_cqc_sim1(A, B)=k10_cqc_sim1(A, B, k13_cqc_sim1(A, B), k11_cqc_sim1(k3_qc_lang1(A)))) ) ) ) ).
fof(t25_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) => k14_cqc_sim1(A, k5_cqc_lang(A))=k5_cqc_lang(A)) ) ).
fof(t26_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v5_relat_1(C, k3_qc_lang1(A)) &  (v3_card_1(C, B) & m2_finseq_1(C, k2_qc_lang1(A))) )  =>  (! [D] :  (m2_subset_1(D, k6_qc_lang1(A), k8_qc_lang1(A, B)) => k14_cqc_sim1(A, k4_cqc_lang(B, A, D, C))=k4_cqc_lang(B, A, D, C)) ) ) ) ) ) ) ) ).
fof(t27_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (v2_qc_lang1(B, A) => k14_cqc_sim1(A, B)=B) ) ) ) ) ).
fof(t28_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) => k14_cqc_sim1(A, k6_cqc_lang(A, B))=k6_cqc_lang(A, k14_cqc_sim1(A, B))) ) ) ) ).
fof(t29_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (v3_qc_lang1(B, A) & C=k18_qc_lang1(A, B))  => k14_cqc_sim1(A, B)=k6_cqc_lang(A, k14_cqc_sim1(A, C))) ) ) ) ) ) ) ).
fof(d12_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k4_zfmisc_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))))) =>  (r1_cqc_sim1(A, B, C) <=>  (r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k1_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), B, k13_cqc_sim1(A, B), k1_setwiseo(k3_qc_lang1(A)), k11_cqc_sim1(k3_qc_lang1(A))), C) &  ( (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m1_subset_1(E, k1_qc_lang1(A)) =>  (! [F] :  (m1_subset_1(F, k5_finsub_1(k3_qc_lang1(A))) =>  (! [G] :  (m2_funct_2(G, k3_qc_lang1(A), k3_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))) =>  (r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k6_cqc_lang(A, D), E, F, G), C) => r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), D, E, F, G), C)) ) ) ) ) ) ) ) )  &  ( (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m2_subset_1(E, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [F] :  (m1_subset_1(F, k1_qc_lang1(A)) =>  (! [G] :  (m1_subset_1(G, k5_finsub_1(k3_qc_lang1(A))) =>  (! [H] :  (m2_funct_2(H, k3_qc_lang1(A), k3_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))) =>  (r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k7_cqc_lang(A, D, E), F, G, H), C) =>  (r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), D, F, G, H), C) & r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), E, k30_qc_lang1(A, F, k7_cqc_sim1(A, D)), G, H), C)) ) ) ) ) ) ) ) ) ) ) )  &  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m2_subset_1(E, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [F] :  (m1_subset_1(F, k1_qc_lang1(A)) =>  (! [G] :  (m1_subset_1(G, k5_finsub_1(k3_qc_lang1(A))) =>  (! [H] :  (m2_funct_2(H, k3_qc_lang1(A), k3_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))) =>  (r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k11_cqc_lang(A, E, D), F, G, H), C) => r2_hidden(k6_xtuple_0(D, k28_qc_lang1(A, F), k2_xboole_0(G, k6_domain_1(k3_qc_lang1(A), E)), k1_funct_4(H, k17_funcop_1(E, k2_qc_lang3(A, F)))), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k4_zfmisc_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))))) =>  (C=k15_cqc_sim1(A, B) <=>  (r1_cqc_sim1(A, B, C) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k4_zfmisc_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))))) =>  (r1_cqc_sim1(A, B, D) => r1_tarski(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k1_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), B, k13_cqc_sim1(A, B), k1_setwiseo(k3_qc_lang1(A)), k11_cqc_sim1(k3_qc_lang1(A))), k15_cqc_sim1(A, B))) ) ) ) ).
fof(t31_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m1_subset_1(D, k1_qc_lang1(A)) =>  (! [E] :  (m1_subset_1(E, k5_finsub_1(k3_qc_lang1(A))) =>  (! [F] :  (m2_funct_2(F, k3_qc_lang1(A), k3_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))) =>  (r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k6_cqc_lang(A, C), D, E, F), k15_cqc_sim1(A, B)) => r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), C, D, E, F), k15_cqc_sim1(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m1_subset_1(E, k1_qc_lang1(A)) =>  (! [F] :  (m1_subset_1(F, k5_finsub_1(k3_qc_lang1(A))) =>  (! [G] :  (m2_funct_2(G, k3_qc_lang1(A), k3_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))) =>  (r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k7_cqc_lang(A, C, D), E, F, G), k15_cqc_sim1(A, B)) =>  (r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), C, E, F, G), k15_cqc_sim1(A, B)) & r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), D, k30_qc_lang1(A, E, k7_cqc_sim1(A, C)), F, G), k15_cqc_sim1(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [E] :  (m1_subset_1(E, k1_qc_lang1(A)) =>  (! [F] :  (m1_subset_1(F, k5_finsub_1(k3_qc_lang1(A))) =>  (! [G] :  (m2_funct_2(G, k3_qc_lang1(A), k3_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))) =>  (r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k11_cqc_lang(A, D, C), E, F, G), k15_cqc_sim1(A, B)) => r2_hidden(k6_xtuple_0(C, k28_qc_lang1(A, E), k2_xboole_0(F, k6_domain_1(k3_qc_lang1(A), D)), k1_funct_4(G, k17_funcop_1(D, k2_qc_lang3(A, E)))), k15_cqc_sim1(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_qc_lang1(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m2_funct_2(E, k3_qc_lang1(A), k3_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))) =>  (! [F] :  (m1_subset_1(F, k5_finsub_1(k3_qc_lang1(A))) =>  ~ ( (r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), D, B, F, E), k15_cqc_sim1(A, C)) &  ( ~ (k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), D, B, F, E)=k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k1_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), C, k13_cqc_sim1(A, C), k1_setwiseo(k3_qc_lang1(A)), k11_cqc_sim1(k3_qc_lang1(A))))  &  ( ~ (r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k6_cqc_lang(A, D), B, F, E), k15_cqc_sim1(A, C)))  &  ( (! [G] :  (m2_subset_1(G, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ~ (r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k7_cqc_lang(A, D, G), B, F, E), k15_cqc_sim1(A, C))) ) )  &  ( (! [G] :  (m2_subset_1(G, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [H] :  (m1_subset_1(H, k1_qc_lang1(A)) =>  ~ ( (B=k30_qc_lang1(A, H, k7_cqc_sim1(A, G)) & r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k7_cqc_lang(A, G, D), H, F, E), k15_cqc_sim1(A, C))) ) ) ) ) )  &  (! [G] :  (m2_subset_1(G, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [H] :  (m1_subset_1(H, k1_qc_lang1(A)) =>  (! [I] :  (m2_funct_2(I, k3_qc_lang1(A), k3_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))) =>  ~ ( (k28_qc_lang1(A, H)=B &  (k1_funct_4(I, k8_funcop_1(k3_qc_lang1(A), k6_domain_1(k3_qc_lang1(A), G), k2_qc_lang3(A, H)))=E &  (r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k11_cqc_lang(A, G, D), H, F, I), k15_cqc_sim1(A, C)) | r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k1_zfmisc_1(F), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k11_cqc_lang(A, G, D), H, k6_subset_1(F, k6_domain_1(k3_qc_lang1(A), G)), I), k15_cqc_sim1(A, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m1_subset_1(D, k1_qc_lang1(A)) =>  (! [E] :  (m1_subset_1(E, k5_finsub_1(k3_qc_lang1(A))) =>  (! [F] :  (m2_funct_2(F, k3_qc_lang1(A), k3_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))) =>  (r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), C, D, E, F), k15_cqc_sim1(A, B)) => r2_qc_lang2(A, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) => k15_cqc_sim1(A, k5_cqc_lang(A))=k6_domain_1(k4_zfmisc_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k1_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k1_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k5_cqc_lang(A), k26_qc_lang1(A), k1_setwiseo(k3_qc_lang1(A)), k11_cqc_sim1(k3_qc_lang1(A))))) ) ).
fof(t37_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v5_relat_1(C, k3_qc_lang1(A)) &  (v3_card_1(C, B) & m2_finseq_1(C, k2_qc_lang1(A))) )  =>  (! [D] :  (m2_subset_1(D, k6_qc_lang1(A), k8_qc_lang1(A, B)) => k15_cqc_sim1(A, k4_cqc_lang(B, A, D, C))=k6_domain_1(k4_zfmisc_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k1_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k1_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k4_cqc_lang(B, A, D, C), k13_cqc_sim1(A, k4_cqc_lang(B, A, D, C)), k1_setwiseo(k3_qc_lang1(A)), k11_cqc_sim1(k3_qc_lang1(A))))) ) ) ) ) ) ) ) ).
fof(t38_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m1_subset_1(D, k1_qc_lang1(A)) =>  (! [E] :  (m1_subset_1(E, k5_finsub_1(k3_qc_lang1(A))) =>  (! [F] :  (m2_funct_2(F, k3_qc_lang1(A), k3_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))) =>  (r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), C, D, E, F), k15_cqc_sim1(A, B)) => r1_tarski(k24_qc_lang1(A, C), k2_xboole_0(k24_qc_lang1(A, B), E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k1_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m2_subset_1(E, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [F] :  (m2_funct_2(F, k3_qc_lang1(A), k3_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))) =>  (! [G] :  (m1_subset_1(G, k5_finsub_1(k3_qc_lang1(A))) =>  ( (r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), E, B, G, F), k15_cqc_sim1(A, D)) & r2_tarski(k2_qc_lang3(A, C), k8_setwiseo(k3_qc_lang1(A), k3_qc_lang1(A), F, G)))  => r2_qc_lang1(A, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_qc_lang1(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m2_funct_2(E, k3_qc_lang1(A), k3_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))) =>  (! [F] :  (m1_subset_1(F, k5_finsub_1(k3_qc_lang1(A))) =>  ~ ( (r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), D, B, F, E), k15_cqc_sim1(A, C)) & r2_tarski(k2_qc_lang3(A, B), k8_setwiseo(k3_qc_lang1(A), k3_qc_lang1(A), E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k1_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m2_subset_1(E, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [F] :  (m2_funct_2(F, k3_qc_lang1(A), k3_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))) =>  (! [G] :  (m1_subset_1(G, k5_finsub_1(k3_qc_lang1(A))) =>  ( (r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), E, B, G, F), k15_cqc_sim1(A, D)) & r2_tarski(k2_qc_lang3(A, C), k7_relat_1(F, k24_qc_lang1(A, D))))  => r2_qc_lang1(A, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k1_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m2_subset_1(E, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [F] :  (m2_funct_2(F, k3_qc_lang1(A), k3_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))) =>  (! [G] :  (m1_subset_1(G, k5_finsub_1(k3_qc_lang1(A))) =>  ( (r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), E, B, G, F), k15_cqc_sim1(A, D)) & r2_tarski(k2_qc_lang3(A, C), k7_relat_1(F, k24_qc_lang1(A, E))))  => r2_qc_lang1(A, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_qc_lang1(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m2_funct_2(E, k3_qc_lang1(A), k3_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))) =>  (! [F] :  (m1_subset_1(F, k5_finsub_1(k3_qc_lang1(A))) =>  ~ ( (r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), D, B, F, E), k15_cqc_sim1(A, C)) & r2_tarski(k2_qc_lang3(A, B), k7_relat_1(E, k24_qc_lang1(A, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) => k24_qc_lang1(A, B)=k24_qc_lang1(A, k14_cqc_sim1(A, B))) ) ) ) ).
fof(t45_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) => k13_cqc_sim1(A, B)=k13_cqc_sim1(A, k14_cqc_sim1(A, B))) ) ) ) ).
fof(d14_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r2_cqc_sim1(A, B, C) <=> k14_cqc_sim1(A, B)=k14_cqc_sim1(A, C)) ) ) ) ) ) ) ).
fof(t46_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (r2_cqc_sim1(A, B, C) & r2_cqc_sim1(A, C, D))  => r2_cqc_sim1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(s1_cqc_sim1, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k9_qc_lang1(f1_s1_cqc_sim1), f2_s1_cqc_sim1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k9_qc_lang1(f1_s1_cqc_sim1), f2_s1_cqc_sim1)))) )  &  (k3_funct_2(k9_qc_lang1(f1_s1_cqc_sim1), f2_s1_cqc_sim1, A, k5_cqc_lang(f1_s1_cqc_sim1))=f3_s1_cqc_sim1 &  (! [B] :  (m1_subset_1(B, k9_qc_lang1(f1_s1_cqc_sim1)) =>  ( (v2_qc_lang1(B, f1_s1_cqc_sim1) => k3_funct_2(k9_qc_lang1(f1_s1_cqc_sim1), f2_s1_cqc_sim1, A, B)=f4_s1_cqc_sim1(B))  &  ( (v3_qc_lang1(B, f1_s1_cqc_sim1) => k3_funct_2(k9_qc_lang1(f1_s1_cqc_sim1), f2_s1_cqc_sim1, A, B)=f5_s1_cqc_sim1(k3_funct_2(k9_qc_lang1(f1_s1_cqc_sim1), f2_s1_cqc_sim1, A, k18_qc_lang1(f1_s1_cqc_sim1, B)), B))  &  ( (v4_qc_lang1(B, f1_s1_cqc_sim1) => k3_funct_2(k9_qc_lang1(f1_s1_cqc_sim1), f2_s1_cqc_sim1, A, B)=f6_s1_cqc_sim1(k3_funct_2(k9_qc_lang1(f1_s1_cqc_sim1), f2_s1_cqc_sim1, A, k19_qc_lang1(f1_s1_cqc_sim1, B)), k3_funct_2(k9_qc_lang1(f1_s1_cqc_sim1), f2_s1_cqc_sim1, A, k20_qc_lang1(f1_s1_cqc_sim1, B)), B))  &  (v5_qc_lang1(B, f1_s1_cqc_sim1) => k3_funct_2(k9_qc_lang1(f1_s1_cqc_sim1), f2_s1_cqc_sim1, A, B)=f7_s1_cqc_sim1(k3_funct_2(k9_qc_lang1(f1_s1_cqc_sim1), f2_s1_cqc_sim1, A, k22_qc_lang1(f1_s1_cqc_sim1, B)), B)) ) ) ) ) ) ) ) ) ).
fof(s2_cqc_sim1, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k3_cqc_lang(f1_s2_cqc_sim1), k9_funct_2(f2_s2_cqc_sim1, f3_s2_cqc_sim1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(f1_s2_cqc_sim1), k9_funct_2(f2_s2_cqc_sim1, f3_s2_cqc_sim1))))) )  &  (k3_funct_2(k3_cqc_lang(f1_s2_cqc_sim1), k9_funct_2(f2_s2_cqc_sim1, f3_s2_cqc_sim1), A, k5_cqc_lang(f1_s2_cqc_sim1))=f4_s2_cqc_sim1 &  ( (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v5_relat_1(C, k3_qc_lang1(f1_s2_cqc_sim1)) &  (v3_card_1(C, B) & m2_finseq_1(C, k2_qc_lang1(f1_s2_cqc_sim1))) )  =>  (! [D] :  (m2_subset_1(D, k6_qc_lang1(f1_s2_cqc_sim1), k8_qc_lang1(f1_s2_cqc_sim1, B)) => k3_funct_2(k3_cqc_lang(f1_s2_cqc_sim1), k9_funct_2(f2_s2_cqc_sim1, f3_s2_cqc_sim1), A, k4_cqc_lang(B, f1_s2_cqc_sim1, D, C))=f5_s2_cqc_sim1(B, D, C)) ) ) ) ) )  &  (! [B] :  (m2_subset_1(B, k9_qc_lang1(f1_s2_cqc_sim1), k3_cqc_lang(f1_s2_cqc_sim1)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(f1_s2_cqc_sim1), k3_cqc_lang(f1_s2_cqc_sim1)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(f1_s2_cqc_sim1), k3_qc_lang1(f1_s2_cqc_sim1)) =>  (k3_funct_2(k3_cqc_lang(f1_s2_cqc_sim1), k9_funct_2(f2_s2_cqc_sim1, f3_s2_cqc_sim1), A, k6_cqc_lang(f1_s2_cqc_sim1, B))=f6_s2_cqc_sim1(k3_funct_2(k3_cqc_lang(f1_s2_cqc_sim1), k9_funct_2(f2_s2_cqc_sim1, f3_s2_cqc_sim1), A, B), B) &  (k3_funct_2(k3_cqc_lang(f1_s2_cqc_sim1), k9_funct_2(f2_s2_cqc_sim1, f3_s2_cqc_sim1), A, k7_cqc_lang(f1_s2_cqc_sim1, B, C))=f7_s2_cqc_sim1(k3_funct_2(k3_cqc_lang(f1_s2_cqc_sim1), k9_funct_2(f2_s2_cqc_sim1, f3_s2_cqc_sim1), A, B), k3_funct_2(k3_cqc_lang(f1_s2_cqc_sim1), k9_funct_2(f2_s2_cqc_sim1, f3_s2_cqc_sim1), A, C), B, C) & k3_funct_2(k3_cqc_lang(f1_s2_cqc_sim1), k9_funct_2(f2_s2_cqc_sim1, f3_s2_cqc_sim1), A, k11_cqc_lang(f1_s2_cqc_sim1, D, B))=f8_s2_cqc_sim1(D, k3_funct_2(k3_cqc_lang(f1_s2_cqc_sim1), k9_funct_2(f2_s2_cqc_sim1, f3_s2_cqc_sim1), A, B), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s3_cqc_sim1, axiom,  ( (k3_funct_2(k3_cqc_lang(f1_s3_cqc_sim1), k9_funct_2(f2_s3_cqc_sim1, f3_s3_cqc_sim1), f4_s3_cqc_sim1, k5_cqc_lang(f1_s3_cqc_sim1))=f6_s3_cqc_sim1 &  ( (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v5_relat_1(B, k3_qc_lang1(f1_s3_cqc_sim1)) &  (v3_card_1(B, A) & m2_finseq_1(B, k2_qc_lang1(f1_s3_cqc_sim1))) )  =>  (! [C] :  (m2_subset_1(C, k6_qc_lang1(f1_s3_cqc_sim1), k8_qc_lang1(f1_s3_cqc_sim1, A)) => k3_funct_2(k3_cqc_lang(f1_s3_cqc_sim1), k9_funct_2(f2_s3_cqc_sim1, f3_s3_cqc_sim1), f4_s3_cqc_sim1, k4_cqc_lang(A, f1_s3_cqc_sim1, C, B))=f7_s3_cqc_sim1(A, C, B)) ) ) ) ) )  &  ( (! [A] :  (m2_subset_1(A, k9_qc_lang1(f1_s3_cqc_sim1), k3_cqc_lang(f1_s3_cqc_sim1)) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(f1_s3_cqc_sim1), k3_cqc_lang(f1_s3_cqc_sim1)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(f1_s3_cqc_sim1), k3_qc_lang1(f1_s3_cqc_sim1)) =>  (k3_funct_2(k3_cqc_lang(f1_s3_cqc_sim1), k9_funct_2(f2_s3_cqc_sim1, f3_s3_cqc_sim1), f4_s3_cqc_sim1, k6_cqc_lang(f1_s3_cqc_sim1, A))=f8_s3_cqc_sim1(k3_funct_2(k3_cqc_lang(f1_s3_cqc_sim1), k9_funct_2(f2_s3_cqc_sim1, f3_s3_cqc_sim1), f4_s3_cqc_sim1, A), A) &  (k3_funct_2(k3_cqc_lang(f1_s3_cqc_sim1), k9_funct_2(f2_s3_cqc_sim1, f3_s3_cqc_sim1), f4_s3_cqc_sim1, k7_cqc_lang(f1_s3_cqc_sim1, A, B))=f9_s3_cqc_sim1(k3_funct_2(k3_cqc_lang(f1_s3_cqc_sim1), k9_funct_2(f2_s3_cqc_sim1, f3_s3_cqc_sim1), f4_s3_cqc_sim1, A), k3_funct_2(k3_cqc_lang(f1_s3_cqc_sim1), k9_funct_2(f2_s3_cqc_sim1, f3_s3_cqc_sim1), f4_s3_cqc_sim1, B), A, B) & k3_funct_2(k3_cqc_lang(f1_s3_cqc_sim1), k9_funct_2(f2_s3_cqc_sim1, f3_s3_cqc_sim1), f4_s3_cqc_sim1, k11_cqc_lang(f1_s3_cqc_sim1, C, A))=f10_s3_cqc_sim1(C, k3_funct_2(k3_cqc_lang(f1_s3_cqc_sim1), k9_funct_2(f2_s3_cqc_sim1, f3_s3_cqc_sim1), f4_s3_cqc_sim1, A), A)) ) ) ) ) ) ) )  &  (k3_funct_2(k3_cqc_lang(f1_s3_cqc_sim1), k9_funct_2(f2_s3_cqc_sim1, f3_s3_cqc_sim1), f5_s3_cqc_sim1, k5_cqc_lang(f1_s3_cqc_sim1))=f6_s3_cqc_sim1 &  ( (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v5_relat_1(B, k3_qc_lang1(f1_s3_cqc_sim1)) &  (v3_card_1(B, A) & m2_finseq_1(B, k2_qc_lang1(f1_s3_cqc_sim1))) )  =>  (! [C] :  (m2_subset_1(C, k6_qc_lang1(f1_s3_cqc_sim1), k8_qc_lang1(f1_s3_cqc_sim1, A)) => k3_funct_2(k3_cqc_lang(f1_s3_cqc_sim1), k9_funct_2(f2_s3_cqc_sim1, f3_s3_cqc_sim1), f5_s3_cqc_sim1, k4_cqc_lang(A, f1_s3_cqc_sim1, C, B))=f7_s3_cqc_sim1(A, C, B)) ) ) ) ) )  &  (! [A] :  (m2_subset_1(A, k9_qc_lang1(f1_s3_cqc_sim1), k3_cqc_lang(f1_s3_cqc_sim1)) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(f1_s3_cqc_sim1), k3_cqc_lang(f1_s3_cqc_sim1)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(f1_s3_cqc_sim1), k3_qc_lang1(f1_s3_cqc_sim1)) =>  (k3_funct_2(k3_cqc_lang(f1_s3_cqc_sim1), k9_funct_2(f2_s3_cqc_sim1, f3_s3_cqc_sim1), f5_s3_cqc_sim1, k6_cqc_lang(f1_s3_cqc_sim1, A))=f8_s3_cqc_sim1(k3_funct_2(k3_cqc_lang(f1_s3_cqc_sim1), k9_funct_2(f2_s3_cqc_sim1, f3_s3_cqc_sim1), f5_s3_cqc_sim1, A), A) &  (k3_funct_2(k3_cqc_lang(f1_s3_cqc_sim1), k9_funct_2(f2_s3_cqc_sim1, f3_s3_cqc_sim1), f5_s3_cqc_sim1, k7_cqc_lang(f1_s3_cqc_sim1, A, B))=f9_s3_cqc_sim1(k3_funct_2(k3_cqc_lang(f1_s3_cqc_sim1), k9_funct_2(f2_s3_cqc_sim1, f3_s3_cqc_sim1), f5_s3_cqc_sim1, A), k3_funct_2(k3_cqc_lang(f1_s3_cqc_sim1), k9_funct_2(f2_s3_cqc_sim1, f3_s3_cqc_sim1), f5_s3_cqc_sim1, B), A, B) & k3_funct_2(k3_cqc_lang(f1_s3_cqc_sim1), k9_funct_2(f2_s3_cqc_sim1, f3_s3_cqc_sim1), f5_s3_cqc_sim1, k11_cqc_lang(f1_s3_cqc_sim1, C, A))=f10_s3_cqc_sim1(C, k3_funct_2(k3_cqc_lang(f1_s3_cqc_sim1), k9_funct_2(f2_s3_cqc_sim1, f3_s3_cqc_sim1), f5_s3_cqc_sim1, A), A)) ) ) ) ) ) ) ) ) ) ) ) )  => r2_funct_2(k3_cqc_lang(f1_s3_cqc_sim1), k9_funct_2(f2_s3_cqc_sim1, f3_s3_cqc_sim1), f4_s3_cqc_sim1, f5_s3_cqc_sim1)) ).
fof(s4_cqc_sim1, axiom,  ( ( (v1_finset_1(f2_s4_cqc_sim1) &  ( ~ (f2_s4_cqc_sim1=k1_xboole_0)  & r1_tarski(f2_s4_cqc_sim1, f1_s4_cqc_sim1)) )  &  ( (! [A] :  (m1_subset_1(A, f1_s4_cqc_sim1) =>  (! [B] :  (m1_subset_1(B, f1_s4_cqc_sim1) =>  (p1_s4_cqc_sim1(A, B) | p1_s4_cqc_sim1(B, A)) ) ) ) )  &  (! [A] :  (m1_subset_1(A, f1_s4_cqc_sim1) =>  (! [B] :  (m1_subset_1(B, f1_s4_cqc_sim1) =>  (! [C] :  (m1_subset_1(C, f1_s4_cqc_sim1) =>  ( (p1_s4_cqc_sim1(A, B) & p1_s4_cqc_sim1(B, C))  => p1_s4_cqc_sim1(A, C)) ) ) ) ) ) ) ) )  =>  (? [A] :  (m1_subset_1(A, f1_s4_cqc_sim1) &  (r2_tarski(A, f2_s4_cqc_sim1) &  (! [B] :  (m1_subset_1(B, f1_s4_cqc_sim1) =>  (r2_tarski(B, f2_s4_cqc_sim1) => p1_s4_cqc_sim1(A, B)) ) ) ) ) ) ) ).
fof(s5_cqc_sim1, axiom,  ( (p1_s5_cqc_sim1(k5_cqc_lang(f1_s5_cqc_sim1)) &  ( (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v5_relat_1(B, k3_qc_lang1(f1_s5_cqc_sim1)) &  (v3_card_1(B, A) & m2_finseq_1(B, k2_qc_lang1(f1_s5_cqc_sim1))) )  =>  (! [C] :  (m2_subset_1(C, k6_qc_lang1(f1_s5_cqc_sim1), k8_qc_lang1(f1_s5_cqc_sim1, A)) => p1_s5_cqc_sim1(k4_cqc_lang(A, f1_s5_cqc_sim1, C, B))) ) ) ) ) )  &  ( (! [A] :  (m2_subset_1(A, k9_qc_lang1(f1_s5_cqc_sim1), k3_cqc_lang(f1_s5_cqc_sim1)) =>  (p1_s5_cqc_sim1(A) => p1_s5_cqc_sim1(k6_cqc_lang(f1_s5_cqc_sim1, A))) ) )  &  ( (! [A] :  (m2_subset_1(A, k9_qc_lang1(f1_s5_cqc_sim1), k3_cqc_lang(f1_s5_cqc_sim1)) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(f1_s5_cqc_sim1), k3_cqc_lang(f1_s5_cqc_sim1)) =>  ( (p1_s5_cqc_sim1(A) & p1_s5_cqc_sim1(B))  => p1_s5_cqc_sim1(k7_cqc_lang(f1_s5_cqc_sim1, A, B))) ) ) ) )  &  (! [A] :  (m2_subset_1(A, k9_qc_lang1(f1_s5_cqc_sim1), k3_cqc_lang(f1_s5_cqc_sim1)) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(f1_s5_cqc_sim1), k3_qc_lang1(f1_s5_cqc_sim1)) =>  (p1_s5_cqc_sim1(A) => p1_s5_cqc_sim1(k11_cqc_lang(f1_s5_cqc_sim1, B, A))) ) ) ) ) ) ) ) )  =>  (! [A] :  (m2_subset_1(A, k9_qc_lang1(f1_s5_cqc_sim1), k3_cqc_lang(f1_s5_cqc_sim1)) => p1_s5_cqc_sim1(A)) ) ) ).
fof(s6_cqc_sim1, axiom,  ( (p1_s6_cqc_sim1(f2_s6_cqc_sim1, k13_cqc_sim1(f1_s6_cqc_sim1, f2_s6_cqc_sim1), k1_setwiseo(k3_qc_lang1(f1_s6_cqc_sim1)), k11_cqc_sim1(k3_qc_lang1(f1_s6_cqc_sim1))) &  ( (! [A] :  (m2_subset_1(A, k9_qc_lang1(f1_s6_cqc_sim1), k3_cqc_lang(f1_s6_cqc_sim1)) =>  (! [B] :  (m1_subset_1(B, k1_qc_lang1(f1_s6_cqc_sim1)) =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(k3_qc_lang1(f1_s6_cqc_sim1))) =>  (! [D] :  (m2_funct_2(D, k3_qc_lang1(f1_s6_cqc_sim1), k3_qc_lang1(f1_s6_cqc_sim1), k9_funct_2(k3_qc_lang1(f1_s6_cqc_sim1), k3_qc_lang1(f1_s6_cqc_sim1))) =>  ( (r2_tarski(k5_domain_1(k3_cqc_lang(f1_s6_cqc_sim1), k1_qc_lang1(f1_s6_cqc_sim1), k5_finsub_1(k3_qc_lang1(f1_s6_cqc_sim1)), k9_funct_2(k3_qc_lang1(f1_s6_cqc_sim1), k3_qc_lang1(f1_s6_cqc_sim1)), k6_cqc_lang(f1_s6_cqc_sim1, A), B, C, D), k15_cqc_sim1(f1_s6_cqc_sim1, f2_s6_cqc_sim1)) & p1_s6_cqc_sim1(k6_cqc_lang(f1_s6_cqc_sim1, A), B, C, D))  => p1_s6_cqc_sim1(A, B, C, D)) ) ) ) ) ) ) ) )  &  ( (! [A] :  (m2_subset_1(A, k9_qc_lang1(f1_s6_cqc_sim1), k3_cqc_lang(f1_s6_cqc_sim1)) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(f1_s6_cqc_sim1), k3_cqc_lang(f1_s6_cqc_sim1)) =>  (! [C] :  (m1_subset_1(C, k1_qc_lang1(f1_s6_cqc_sim1)) =>  (! [D] :  (m1_subset_1(D, k5_finsub_1(k3_qc_lang1(f1_s6_cqc_sim1))) =>  (! [E] :  (m2_funct_2(E, k3_qc_lang1(f1_s6_cqc_sim1), k3_qc_lang1(f1_s6_cqc_sim1), k9_funct_2(k3_qc_lang1(f1_s6_cqc_sim1), k3_qc_lang1(f1_s6_cqc_sim1))) =>  ( (r2_tarski(k5_domain_1(k3_cqc_lang(f1_s6_cqc_sim1), k1_qc_lang1(f1_s6_cqc_sim1), k5_finsub_1(k3_qc_lang1(f1_s6_cqc_sim1)), k9_funct_2(k3_qc_lang1(f1_s6_cqc_sim1), k3_qc_lang1(f1_s6_cqc_sim1)), k7_cqc_lang(f1_s6_cqc_sim1, A, B), C, D, E), k15_cqc_sim1(f1_s6_cqc_sim1, f2_s6_cqc_sim1)) & p1_s6_cqc_sim1(k7_cqc_lang(f1_s6_cqc_sim1, A, B), C, D, E))  =>  (p1_s6_cqc_sim1(A, C, D, E) & p1_s6_cqc_sim1(B, k30_qc_lang1(f1_s6_cqc_sim1, C, k7_cqc_sim1(f1_s6_cqc_sim1, A)), D, E)) ) ) ) ) ) ) ) ) ) ) )  &  (! [A] :  (m2_subset_1(A, k9_qc_lang1(f1_s6_cqc_sim1), k3_cqc_lang(f1_s6_cqc_sim1)) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(f1_s6_cqc_sim1), k3_qc_lang1(f1_s6_cqc_sim1)) =>  (! [C] :  (m1_subset_1(C, k1_qc_lang1(f1_s6_cqc_sim1)) =>  (! [D] :  (m1_subset_1(D, k5_finsub_1(k3_qc_lang1(f1_s6_cqc_sim1))) =>  (! [E] :  (m2_funct_2(E, k3_qc_lang1(f1_s6_cqc_sim1), k3_qc_lang1(f1_s6_cqc_sim1), k9_funct_2(k3_qc_lang1(f1_s6_cqc_sim1), k3_qc_lang1(f1_s6_cqc_sim1))) =>  ( (r2_tarski(k5_domain_1(k3_cqc_lang(f1_s6_cqc_sim1), k1_qc_lang1(f1_s6_cqc_sim1), k5_finsub_1(k3_qc_lang1(f1_s6_cqc_sim1)), k9_funct_2(k3_qc_lang1(f1_s6_cqc_sim1), k3_qc_lang1(f1_s6_cqc_sim1)), k11_cqc_lang(f1_s6_cqc_sim1, B, A), C, D, E), k15_cqc_sim1(f1_s6_cqc_sim1, f2_s6_cqc_sim1)) & p1_s6_cqc_sim1(k11_cqc_lang(f1_s6_cqc_sim1, B, A), C, D, E))  => p1_s6_cqc_sim1(A, k28_qc_lang1(f1_s6_cqc_sim1, C), k2_xboole_0(D, k6_domain_1(k3_qc_lang1(f1_s6_cqc_sim1), B)), k1_funct_4(E, k17_funcop_1(B, k2_qc_lang3(f1_s6_cqc_sim1, C))))) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [A] :  (m2_subset_1(A, k9_qc_lang1(f1_s6_cqc_sim1), k3_cqc_lang(f1_s6_cqc_sim1)) =>  (! [B] :  (m1_subset_1(B, k1_qc_lang1(f1_s6_cqc_sim1)) =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(k3_qc_lang1(f1_s6_cqc_sim1))) =>  (! [D] :  (m2_funct_2(D, k3_qc_lang1(f1_s6_cqc_sim1), k3_qc_lang1(f1_s6_cqc_sim1), k9_funct_2(k3_qc_lang1(f1_s6_cqc_sim1), k3_qc_lang1(f1_s6_cqc_sim1))) =>  (r2_tarski(k5_domain_1(k3_cqc_lang(f1_s6_cqc_sim1), k1_qc_lang1(f1_s6_cqc_sim1), k5_finsub_1(k3_qc_lang1(f1_s6_cqc_sim1)), k9_funct_2(k3_qc_lang1(f1_s6_cqc_sim1), k3_qc_lang1(f1_s6_cqc_sim1)), A, B, C, D), k15_cqc_sim1(f1_s6_cqc_sim1, f2_s6_cqc_sim1)) => p1_s6_cqc_sim1(A, B, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_cqc_sim1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k3_qc_lang1(A)))  => m1_subset_1(k1_cqc_sim1(A, B), k1_qc_lang1(A))) ) ).
fof(dt_f1_s1_cqc_sim1, axiom, m1_qc_lang1(f1_s1_cqc_sim1)).
fof(dt_f2_s1_cqc_sim1, axiom,  ~ (v1_xboole_0(f2_s1_cqc_sim1)) ).
fof(dt_f3_s1_cqc_sim1, axiom, m1_subset_1(f3_s1_cqc_sim1, f2_s1_cqc_sim1)).
fof(dt_f4_s1_cqc_sim1, axiom,  (! [A] : m1_subset_1(f4_s1_cqc_sim1(A), f2_s1_cqc_sim1)) ).
fof(dt_f5_s1_cqc_sim1, axiom,  (! [A, B] : m1_subset_1(f5_s1_cqc_sim1(A, B), f2_s1_cqc_sim1)) ).
fof(dt_f6_s1_cqc_sim1, axiom,  (! [A, B, C] : m1_subset_1(f6_s1_cqc_sim1(A, B, C), f2_s1_cqc_sim1)) ).
fof(dt_f7_s1_cqc_sim1, axiom,  (! [A, B] : m1_subset_1(f7_s1_cqc_sim1(A, B), f2_s1_cqc_sim1)) ).
fof(dt_f1_s2_cqc_sim1, axiom, m1_qc_lang1(f1_s2_cqc_sim1)).
fof(dt_f2_s2_cqc_sim1, axiom,  ~ (v1_xboole_0(f2_s2_cqc_sim1)) ).
fof(dt_f3_s2_cqc_sim1, axiom,  ~ (v1_xboole_0(f3_s2_cqc_sim1)) ).
fof(dt_f4_s2_cqc_sim1, axiom, m2_funct_2(f4_s2_cqc_sim1, f2_s2_cqc_sim1, f3_s2_cqc_sim1, k9_funct_2(f2_s2_cqc_sim1, f3_s2_cqc_sim1))).
fof(dt_f5_s2_cqc_sim1, axiom,  (! [A, B, C] : m2_funct_2(f5_s2_cqc_sim1(A, B, C), f2_s2_cqc_sim1, f3_s2_cqc_sim1, k9_funct_2(f2_s2_cqc_sim1, f3_s2_cqc_sim1))) ).
fof(dt_f6_s2_cqc_sim1, axiom,  (! [A, B] : m2_funct_2(f6_s2_cqc_sim1(A, B), f2_s2_cqc_sim1, f3_s2_cqc_sim1, k9_funct_2(f2_s2_cqc_sim1, f3_s2_cqc_sim1))) ).
fof(dt_f7_s2_cqc_sim1, axiom,  (! [A, B, C, D] : m2_funct_2(f7_s2_cqc_sim1(A, B, C, D), f2_s2_cqc_sim1, f3_s2_cqc_sim1, k9_funct_2(f2_s2_cqc_sim1, f3_s2_cqc_sim1))) ).
fof(dt_f8_s2_cqc_sim1, axiom,  (! [A, B, C] : m2_funct_2(f8_s2_cqc_sim1(A, B, C), f2_s2_cqc_sim1, f3_s2_cqc_sim1, k9_funct_2(f2_s2_cqc_sim1, f3_s2_cqc_sim1))) ).
fof(dt_f1_s3_cqc_sim1, axiom, m1_qc_lang1(f1_s3_cqc_sim1)).
fof(dt_f2_s3_cqc_sim1, axiom,  ~ (v1_xboole_0(f2_s3_cqc_sim1)) ).
fof(dt_f3_s3_cqc_sim1, axiom,  ~ (v1_xboole_0(f3_s3_cqc_sim1)) ).
fof(dt_f4_s3_cqc_sim1, axiom,  (v1_funct_1(f4_s3_cqc_sim1) &  (v1_funct_2(f4_s3_cqc_sim1, k3_cqc_lang(f1_s3_cqc_sim1), k9_funct_2(f2_s3_cqc_sim1, f3_s3_cqc_sim1)) & m1_subset_1(f4_s3_cqc_sim1, k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(f1_s3_cqc_sim1), k9_funct_2(f2_s3_cqc_sim1, f3_s3_cqc_sim1))))) ) ).
fof(dt_f5_s3_cqc_sim1, axiom,  (v1_funct_1(f5_s3_cqc_sim1) &  (v1_funct_2(f5_s3_cqc_sim1, k3_cqc_lang(f1_s3_cqc_sim1), k9_funct_2(f2_s3_cqc_sim1, f3_s3_cqc_sim1)) & m1_subset_1(f5_s3_cqc_sim1, k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(f1_s3_cqc_sim1), k9_funct_2(f2_s3_cqc_sim1, f3_s3_cqc_sim1))))) ) ).
fof(dt_f6_s3_cqc_sim1, axiom,  (v1_funct_1(f6_s3_cqc_sim1) &  (v1_funct_2(f6_s3_cqc_sim1, f2_s3_cqc_sim1, f3_s3_cqc_sim1) & m1_subset_1(f6_s3_cqc_sim1, k1_zfmisc_1(k2_zfmisc_1(f2_s3_cqc_sim1, f3_s3_cqc_sim1)))) ) ).
fof(dt_f7_s3_cqc_sim1, axiom,  (! [A, B, C] :  (v1_funct_1(f7_s3_cqc_sim1(A, B, C)) &  (v1_funct_2(f7_s3_cqc_sim1(A, B, C), f2_s3_cqc_sim1, f3_s3_cqc_sim1) & m1_subset_1(f7_s3_cqc_sim1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(f2_s3_cqc_sim1, f3_s3_cqc_sim1)))) ) ) ).
fof(dt_f8_s3_cqc_sim1, axiom,  (! [A, B] :  (v1_funct_1(f8_s3_cqc_sim1(A, B)) &  (v1_funct_2(f8_s3_cqc_sim1(A, B), f2_s3_cqc_sim1, f3_s3_cqc_sim1) & m1_subset_1(f8_s3_cqc_sim1(A, B), k1_zfmisc_1(k2_zfmisc_1(f2_s3_cqc_sim1, f3_s3_cqc_sim1)))) ) ) ).
fof(dt_f9_s3_cqc_sim1, axiom,  (! [A, B, C, D] :  (v1_funct_1(f9_s3_cqc_sim1(A, B, C, D)) &  (v1_funct_2(f9_s3_cqc_sim1(A, B, C, D), f2_s3_cqc_sim1, f3_s3_cqc_sim1) & m1_subset_1(f9_s3_cqc_sim1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(f2_s3_cqc_sim1, f3_s3_cqc_sim1)))) ) ) ).
fof(dt_f10_s3_cqc_sim1, axiom,  (! [A, B, C] :  (v1_funct_1(f10_s3_cqc_sim1(A, B, C)) &  (v1_funct_2(f10_s3_cqc_sim1(A, B, C), f2_s3_cqc_sim1, f3_s3_cqc_sim1) & m1_subset_1(f10_s3_cqc_sim1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(f2_s3_cqc_sim1, f3_s3_cqc_sim1)))) ) ) ).
fof(dt_k2_cqc_sim1, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k3_cqc_lang(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k3_cqc_lang(A))))) ) ) )  => m2_funct_2(k2_cqc_sim1(A, B, C), B, k3_cqc_lang(A), k9_funct_2(B, k3_cqc_lang(A)))) ) ).
fof(dt_k3_cqc_sim1, axiom,  (! [A, B, C, D] :  ( (m1_qc_lang1(A) &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A))))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A))))) )  & v7_ordinal1(D)) ) )  => m2_funct_2(k3_cqc_sim1(A, B, C, D), k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A), k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A)))) ) ).
fof(dt_k4_cqc_sim1, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A))))) )  & m1_subset_1(C, k3_qc_lang1(A))) )  => m2_funct_2(k4_cqc_sim1(A, B, C), k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A), k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A)))) ) ).
fof(dt_k5_cqc_sim1, axiom,  (! [A, B, C, D] :  ( (m1_qc_lang1(A) &  (v7_ordinal1(B) &  ( (v5_relat_1(C, k3_qc_lang1(A)) &  (v3_card_1(C, B) & m1_finseq_1(C, k2_qc_lang1(A))) )  & m1_subset_1(D, k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)))) ) )  =>  (v5_relat_1(k5_cqc_sim1(A, B, C, D), k3_qc_lang1(A)) &  (v3_card_1(k5_cqc_sim1(A, B, C, D), B) & m2_finseq_1(k5_cqc_sim1(A, B, C, D), k2_qc_lang1(A))) ) ) ) ).
fof(redefinition_k5_cqc_sim1, axiom,  (! [A, B, C, D] :  ( (m1_qc_lang1(A) &  (v7_ordinal1(B) &  ( (v5_relat_1(C, k3_qc_lang1(A)) &  (v3_card_1(C, B) & m1_finseq_1(C, k2_qc_lang1(A))) )  & m1_subset_1(D, k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)))) ) )  => k5_cqc_sim1(A, B, C, D)=k3_relat_1(C, D)) ) ).
fof(dt_k6_cqc_sim1, axiom,  (! [A, B, C, D] :  ( (m1_qc_lang1(A) &  (v7_ordinal1(B) &  (m1_subset_1(C, k8_qc_lang1(A, B)) &  (v5_relat_1(D, k3_qc_lang1(A)) &  (v3_card_1(D, B) & m1_finseq_1(D, k2_qc_lang1(A))) ) ) ) )  => m2_funct_2(k6_cqc_sim1(A, B, C, D), k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A), k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A)))) ) ).
fof(dt_k7_cqc_sim1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k3_cqc_lang(A)))  => m1_subset_1(k7_cqc_sim1(A, B), k4_ordinal1)) ) ).
fof(dt_k8_cqc_sim1, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  ( (v1_funct_1(B) &  (v1_funct_2(B, k3_cqc_lang(A), k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(A), k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A)))))) )  & m1_subset_1(C, k3_cqc_lang(A))) )  => m2_funct_2(k8_cqc_sim1(A, B, C), k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A), k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A)))) ) ).
fof(redefinition_k8_cqc_sim1, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  ( (v1_funct_1(B) &  (v1_funct_2(B, k3_cqc_lang(A), k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(A), k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A)))))) )  & m1_subset_1(C, k3_cqc_lang(A))) )  => k8_cqc_sim1(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k9_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (v1_funct_1(k9_cqc_sim1(A)) &  (v1_funct_2(k9_cqc_sim1(A), k3_cqc_lang(A), k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A))) & m1_subset_1(k9_cqc_sim1(A), k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(A), k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A)))))) ) ) ) ).
fof(dt_k10_cqc_sim1, axiom,  (! [A, B, C, D] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_cqc_lang(A)) &  (m1_subset_1(C, k1_qc_lang1(A)) & m1_subset_1(D, k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)))) ) )  => m2_subset_1(k10_cqc_sim1(A, B, C, D), k9_qc_lang1(A), k3_cqc_lang(A))) ) ).
fof(dt_f1_s4_cqc_sim1, axiom,  ~ (v1_xboole_0(f1_s4_cqc_sim1)) ).
fof(dt_k11_cqc_sim1, axiom,  (! [A] : m1_subset_1(k11_cqc_sim1(A), k1_funct_2(A, A))) ).
fof(redefinition_k11_cqc_sim1, axiom,  (! [A] : k11_cqc_sim1(A)=k4_relat_1(A)) ).
fof(dt_k12_cqc_sim1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k3_cqc_lang(A)))  => m1_subset_1(k12_cqc_sim1(A, B), k1_zfmisc_1(k1_qc_lang1(A)))) ) ).
fof(dt_k13_cqc_sim1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k3_cqc_lang(A)))  => m1_subset_1(k13_cqc_sim1(A, B), k1_qc_lang1(A))) ) ).
fof(dt_k14_cqc_sim1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k3_cqc_lang(A)))  => m2_subset_1(k14_cqc_sim1(A, B), k9_qc_lang1(A), k3_cqc_lang(A))) ) ).
fof(dt_f1_s5_cqc_sim1, axiom, m1_qc_lang1(f1_s5_cqc_sim1)).
fof(dt_k15_cqc_sim1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k3_cqc_lang(A)))  => m1_subset_1(k15_cqc_sim1(A, B), k1_zfmisc_1(k4_zfmisc_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)))))) ) ).
fof(dt_f1_s6_cqc_sim1, axiom, m1_qc_lang1(f1_s6_cqc_sim1)).
fof(dt_f2_s6_cqc_sim1, axiom, m2_subset_1(f2_s6_cqc_sim1, k9_qc_lang1(f1_s6_cqc_sim1), k3_cqc_lang(f1_s6_cqc_sim1))).
fof(symmetry_r2_cqc_sim1, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_cqc_lang(A)) & m1_subset_1(C, k3_cqc_lang(A))) )  =>  (r2_cqc_sim1(A, B, C) => r2_cqc_sim1(A, C, B)) ) ) ).
fof(reflexivity_r2_cqc_sim1, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_cqc_lang(A)) & m1_subset_1(C, k3_cqc_lang(A))) )  => r2_cqc_sim1(A, B, B)) ) ).
fof(t9_cqc_sim1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k10_xtuple_0(A)=a_1_0_cqc_sim1(A)) ) ).
fof(d9_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) => k12_cqc_sim1(A, B)=a_2_0_cqc_sim1(A, B)) ) ) ) ).
fof(fraenkel_a_1_0_cqc_sim1, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r2_hidden(A, a_1_0_cqc_sim1(B)) <=>  (? [C] :  (v7_ordinal1(C) &  (A=k1_funct_1(B, C) &  (r1_xxreal_0(1, C) & r1_xxreal_0(C, k3_finseq_1(B))) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_cqc_sim1, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(B) & m2_subset_1(C, k9_qc_lang1(B), k3_cqc_lang(B)))  =>  (r2_hidden(A, a_2_0_cqc_sim1(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_qc_lang1(B)) &  (A=D &  (! [E] :  (m1_subset_1(E, k1_qc_lang1(B)) =>  ~ ( (r1_qc_lang1(B, D, E) & r2_tarski(k2_qc_lang3(B, E), k24_qc_lang1(B, C))) ) ) ) ) ) ) ) ) ) ).
fof(fc1_cqc_the1, axiom,  ~ (v1_xboole_0(k2_cqc_the1)) ).
fof(d1_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (v1_cqc_the1(B, A) <=>  (r2_tarski(k5_cqc_lang(A), B) &  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m2_subset_1(E, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [F] :  (m1_subset_1(F, k9_qc_lang1(A)) =>  (! [G] :  (m2_subset_1(G, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [H] :  (m2_subset_1(H, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (r2_tarski(k8_cqc_lang(A, k8_cqc_lang(A, k6_cqc_lang(A, C), C), C), B) &  (r2_tarski(k8_cqc_lang(A, C, k8_cqc_lang(A, k6_cqc_lang(A, C), D)), B) &  (r2_tarski(k8_cqc_lang(A, k8_cqc_lang(A, C, D), k8_cqc_lang(A, k6_cqc_lang(A, k7_cqc_lang(A, D, E)), k6_cqc_lang(A, k7_cqc_lang(A, C, E)))), B) &  (r2_tarski(k8_cqc_lang(A, k7_cqc_lang(A, C, D), k7_cqc_lang(A, D, C)), B) &  ( ( (r2_tarski(C, B) & r2_tarski(k8_cqc_lang(A, C, D), B))  => r2_tarski(D, B))  &  (r2_tarski(k8_cqc_lang(A, k11_cqc_lang(A, G, C), C), B) &  ( (r2_tarski(k8_cqc_lang(A, C, D), B) =>  (r2_tarski(G, k24_qc_lang1(A, C)) | r2_tarski(k8_cqc_lang(A, C, k11_cqc_lang(A, G, D)), B)) )  &  ( (r2_tarski(k13_cqc_lang(A, F, G), k3_cqc_lang(A)) &  (r2_tarski(k13_cqc_lang(A, F, H), k3_cqc_lang(A)) & r2_tarski(k13_cqc_lang(A, F, G), B)) )  =>  (r2_tarski(G, k24_qc_lang1(A, F)) | r2_tarski(k13_cqc_lang(A, F, H), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) =>  ( (v1_cqc_the1(B, A) & v1_cqc_the1(C, A))  => v1_cqc_the1(k9_subset_1(k3_cqc_lang(A), B, C), A)) ) ) ) ) ) ) ).
fof(d2_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) =>  (C=k1_cqc_the1(A, B) <=>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r2_tarski(D, C) <=>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k3_cqc_lang(A))) =>  ( (v1_cqc_the1(E, A) & r1_tarski(B, E))  => r2_tarski(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) => r2_tarski(k5_cqc_lang(A), k1_cqc_the1(A, B))) ) ) ) ).
fof(t7_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_tarski(k8_cqc_lang(A, k8_cqc_lang(A, k6_cqc_lang(A, C), C), C), k1_cqc_the1(A, B))) ) ) ) ) ) ).
fof(t8_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_tarski(k8_cqc_lang(A, C, k8_cqc_lang(A, k6_cqc_lang(A, C), D)), k1_cqc_the1(A, B))) ) ) ) ) ) ) ) ).
fof(t9_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m2_subset_1(E, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_tarski(k8_cqc_lang(A, k8_cqc_lang(A, C, D), k8_cqc_lang(A, k6_cqc_lang(A, k7_cqc_lang(A, D, E)), k6_cqc_lang(A, k7_cqc_lang(A, C, E)))), k1_cqc_the1(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(t10_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_tarski(k8_cqc_lang(A, k7_cqc_lang(A, C, D), k7_cqc_lang(A, D, C)), k1_cqc_the1(A, B))) ) ) ) ) ) ) ) ).
fof(t11_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (r2_tarski(C, k1_cqc_the1(A, B)) & r2_tarski(k8_cqc_lang(A, C, D), k1_cqc_the1(A, B)))  => r2_tarski(D, k1_cqc_the1(A, B))) ) ) ) ) ) ) ) ) ).
fof(t12_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) => r2_tarski(k8_cqc_lang(A, k11_cqc_lang(A, D, C), C), k1_cqc_the1(A, B))) ) ) ) ) ) ) ) ).
fof(t13_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m2_subset_1(E, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (r2_tarski(k8_cqc_lang(A, C, D), k1_cqc_the1(A, B)) =>  (r2_tarski(E, k24_qc_lang1(A, C)) | r2_tarski(k8_cqc_lang(A, C, k11_cqc_lang(A, E, D)), k1_cqc_the1(A, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [E] :  (m2_subset_1(E, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( (r2_tarski(k13_cqc_lang(A, C, D), k3_cqc_lang(A)) &  (r2_tarski(k13_cqc_lang(A, C, E), k3_cqc_lang(A)) & r2_tarski(k13_cqc_lang(A, C, D), k1_cqc_the1(A, B))) )  =>  (r2_tarski(D, k24_qc_lang1(A, C)) | r2_tarski(k13_cqc_lang(A, C, E), k1_cqc_the1(A, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) => v1_cqc_the1(k1_cqc_the1(A, B), A)) ) ) ) ).
fof(t16_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) =>  ( (v1_cqc_the1(B, A) & r1_tarski(C, B))  => r1_tarski(k1_cqc_the1(A, C), B)) ) ) ) ) ) ) ).
fof(t17_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) => r1_tarski(B, k1_cqc_the1(A, B))) ) ) ) ).
fof(t18_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) =>  (r1_tarski(B, C) => r1_tarski(k1_cqc_the1(A, B), k1_cqc_the1(A, C))) ) ) ) ) ) ) ).
fof(t19_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) => k1_cqc_the1(A, k1_cqc_the1(A, B))=k1_cqc_the1(A, B)) ) ) ) ).
fof(t20_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (v1_cqc_the1(B, A) <=> k1_cqc_the1(A, B)=B) ) ) ) ) ).
fof(t21_cqc_the1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( (r1_xxreal_0(k5_numbers, A) &  (r1_xxreal_0(A, 9) &  ~ (r2_tarski(A, k2_cqc_the1)) ) ) ) ) ) ).
fof(t22_cqc_the1, axiom, v1_finset_1(k2_cqc_the1)).
fof(t23_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k2_zfmisc_1(k3_cqc_lang(A), k2_cqc_the1)) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(B)) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(k5_numbers, D) &  (r1_xxreal_0(D, 9) & k2_xtuple_0(k1_funct_1(B, C))=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k2_zfmisc_1(k3_cqc_lang(A), k2_cqc_the1)) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_cqc_lang(A))) =>  ( (k2_xtuple_0(k1_funct_1(B, C))=k5_numbers =>  (r1_cqc_the1(A, B, C, D) <=> r2_hidden(k1_xtuple_0(k1_funct_1(B, C)), D)) )  &  ( (k2_xtuple_0(k1_funct_1(B, C))=1 =>  (r1_cqc_the1(A, B, C, D) <=> k1_xtuple_0(k1_funct_1(B, C))=k5_cqc_lang(A)) )  &  ( (k2_xtuple_0(k1_funct_1(B, C))=2 =>  (r1_cqc_the1(A, B, C, D) <=>  (? [E] :  (m2_subset_1(E, k9_qc_lang1(A), k3_cqc_lang(A)) & k1_xtuple_0(k1_funct_1(B, C))=k8_cqc_lang(A, k8_cqc_lang(A, k6_cqc_lang(A, E), E), E)) ) ) )  &  ( (k2_xtuple_0(k1_funct_1(B, C))=3 =>  (r1_cqc_the1(A, B, C, D) <=>  (? [E] :  (m2_subset_1(E, k9_qc_lang1(A), k3_cqc_lang(A)) &  (? [F] :  (m2_subset_1(F, k9_qc_lang1(A), k3_cqc_lang(A)) & k1_xtuple_0(k1_funct_1(B, C))=k8_cqc_lang(A, E, k8_cqc_lang(A, k6_cqc_lang(A, E), F))) ) ) ) ) )  &  ( (k2_xtuple_0(k1_funct_1(B, C))=4 =>  (r1_cqc_the1(A, B, C, D) <=>  (? [E] :  (m2_subset_1(E, k9_qc_lang1(A), k3_cqc_lang(A)) &  (? [F] :  (m2_subset_1(F, k9_qc_lang1(A), k3_cqc_lang(A)) &  (? [G] :  (m2_subset_1(G, k9_qc_lang1(A), k3_cqc_lang(A)) & k1_xtuple_0(k1_funct_1(B, C))=k8_cqc_lang(A, k8_cqc_lang(A, E, F), k8_cqc_lang(A, k6_cqc_lang(A, k7_cqc_lang(A, F, G)), k6_cqc_lang(A, k7_cqc_lang(A, E, G))))) ) ) ) ) ) ) )  &  ( (k2_xtuple_0(k1_funct_1(B, C))=5 =>  (r1_cqc_the1(A, B, C, D) <=>  (? [E] :  (m2_subset_1(E, k9_qc_lang1(A), k3_cqc_lang(A)) &  (? [F] :  (m2_subset_1(F, k9_qc_lang1(A), k3_cqc_lang(A)) & k1_xtuple_0(k1_funct_1(B, C))=k8_cqc_lang(A, k7_cqc_lang(A, E, F), k7_cqc_lang(A, F, E))) ) ) ) ) )  &  ( (k2_xtuple_0(k1_funct_1(B, C))=6 =>  (r1_cqc_the1(A, B, C, D) <=>  (? [E] :  (m2_subset_1(E, k9_qc_lang1(A), k3_cqc_lang(A)) &  (? [F] :  (m2_subset_1(F, k2_qc_lang1(A), k3_qc_lang1(A)) & k1_xtuple_0(k1_funct_1(B, C))=k8_cqc_lang(A, k11_cqc_lang(A, F, E), E)) ) ) ) ) )  &  ( (k2_xtuple_0(k1_funct_1(B, C))=7 =>  (r1_cqc_the1(A, B, C, D) <=>  (? [E] :  (v7_ordinal1(E) &  (? [F] :  (v7_ordinal1(F) &  (? [G] :  (m2_subset_1(G, k9_qc_lang1(A), k3_cqc_lang(A)) &  (? [H] :  (m2_subset_1(H, k9_qc_lang1(A), k3_cqc_lang(A)) &  (r1_xxreal_0(1, E) &  ( ~ (r1_xxreal_0(C, E))  &  (r1_xxreal_0(1, F) &  ( ~ (r1_xxreal_0(E, F))  &  (G=k1_xtuple_0(k1_funct_1(B, F)) &  (H=k1_xtuple_0(k1_funct_1(B, C)) & k1_xtuple_0(k1_funct_1(B, E))=k8_cqc_lang(A, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (k2_xtuple_0(k1_funct_1(B, C))=8 =>  (r1_cqc_the1(A, B, C, D) <=>  (? [E] :  (v7_ordinal1(E) &  (? [F] :  (m2_subset_1(F, k9_qc_lang1(A), k3_cqc_lang(A)) &  (? [G] :  (m2_subset_1(G, k9_qc_lang1(A), k3_cqc_lang(A)) &  (? [H] :  (m2_subset_1(H, k2_qc_lang1(A), k3_qc_lang1(A)) &  (r1_xxreal_0(1, E) &  ( ~ (r1_xxreal_0(C, E))  &  (k1_xtuple_0(k1_funct_1(B, E))=k8_cqc_lang(A, F, G) &  ( ~ (r2_tarski(H, k24_qc_lang1(A, F)))  & k1_xtuple_0(k1_funct_1(B, C))=k8_cqc_lang(A, F, k11_cqc_lang(A, H, G))) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (k2_xtuple_0(k1_funct_1(B, C))=9 =>  (r1_cqc_the1(A, B, C, D) <=>  (? [E] :  (v7_ordinal1(E) &  (? [F] :  (m2_subset_1(F, k2_qc_lang1(A), k3_qc_lang1(A)) &  (? [G] :  (m2_subset_1(G, k2_qc_lang1(A), k3_qc_lang1(A)) &  (? [H] :  (m1_subset_1(H, k9_qc_lang1(A)) &  (r1_xxreal_0(1, E) &  ( ~ (r1_xxreal_0(C, E))  &  (r2_tarski(k13_cqc_lang(A, H, F), k3_cqc_lang(A)) &  (r2_tarski(k13_cqc_lang(A, H, G), k3_cqc_lang(A)) &  ( ~ (r2_tarski(F, k24_qc_lang1(A, H)))  &  (k13_cqc_lang(A, H, F)=k1_xtuple_0(k1_funct_1(B, E)) & k13_cqc_lang(A, H, G)=k1_xtuple_0(k1_funct_1(B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_finseq_1(C, k2_zfmisc_1(k3_cqc_lang(A), k2_cqc_the1)) =>  (r2_cqc_the1(A, B, C) <=>  ( ~ (C=k1_xboole_0)  &  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, k3_finseq_1(C)))  => r1_cqc_the1(A, C, D, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_finseq_1(C, k2_zfmisc_1(k3_cqc_lang(A), k2_cqc_the1)) =>  ~ ( (r2_cqc_the1(A, B, C) & k10_xtuple_0(C)=k1_xboole_0) ) ) ) ) ) ) ) ).
fof(t25_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_finseq_1(C, k2_zfmisc_1(k3_cqc_lang(A), k2_cqc_the1)) =>  (r2_cqc_the1(A, B, C) => r1_xxreal_0(1, k3_finseq_1(C))) ) ) ) ) ) ) ).
fof(t26_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_finseq_1(C, k2_zfmisc_1(k3_cqc_lang(A), k2_cqc_the1)) =>  ~ ( (r2_cqc_the1(A, B, C) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(k5_numbers, D) &  (r1_xxreal_0(D, 6) & k2_xtuple_0(k1_funct_1(C, 1))=D) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [D] :  (m2_finseq_1(D, k2_zfmisc_1(k3_cqc_lang(A), k2_cqc_the1)) =>  (! [E] :  (m2_finseq_1(E, k2_zfmisc_1(k3_cqc_lang(A), k2_cqc_the1)) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(B, k3_finseq_1(D)))  =>  (r1_cqc_the1(A, D, B, C) <=> r1_cqc_the1(A, k8_finseq_1(k2_zfmisc_1(k3_cqc_lang(A), k2_cqc_the1), D, E), B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [D] :  (m2_finseq_1(D, k2_zfmisc_1(k3_cqc_lang(A), k2_cqc_the1)) =>  (! [E] :  (m2_finseq_1(E, k2_zfmisc_1(k3_cqc_lang(A), k2_cqc_the1)) =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k3_finseq_1(E)) & r1_cqc_the1(A, E, B, C)) )  => r1_cqc_the1(A, k8_finseq_1(k2_zfmisc_1(k3_cqc_lang(A), k2_cqc_the1), D, E), k1_nat_1(B, k3_finseq_1(D)), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_finseq_1(C, k2_zfmisc_1(k3_cqc_lang(A), k2_cqc_the1)) =>  (! [D] :  (m2_finseq_1(D, k2_zfmisc_1(k3_cqc_lang(A), k2_cqc_the1)) =>  ( (r2_cqc_the1(A, B, C) & r2_cqc_the1(A, B, D))  => r2_cqc_the1(A, B, k8_finseq_1(k2_zfmisc_1(k3_cqc_lang(A), k2_cqc_the1), C, D))) ) ) ) ) ) ) ) ) ).
fof(t30_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [D] :  (m2_finseq_1(D, k2_zfmisc_1(k3_cqc_lang(A), k2_cqc_the1)) =>  ( (r2_cqc_the1(A, B, D) & r1_tarski(B, C))  => r2_cqc_the1(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t31_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [D] :  (m2_finseq_1(D, k2_zfmisc_1(k3_cqc_lang(A), k2_cqc_the1)) =>  ( (r2_cqc_the1(A, C, D) &  (r1_xxreal_0(1, B) & r1_xxreal_0(B, k3_finseq_1(D))) )  => r2_hidden(k1_xtuple_0(k1_funct_1(D, B)), k1_cqc_the1(A, C))) ) ) ) ) ) ) ) ) ).
fof(d6_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k2_zfmisc_1(k3_cqc_lang(A), k2_cqc_the1)) =>  ( ~ (B=k1_xboole_0)  => k3_cqc_the1(A, B)=k1_xtuple_0(k1_funct_1(B, k3_finseq_1(B)))) ) ) ) ) ).
fof(t32_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_finseq_1(C, k2_zfmisc_1(k3_cqc_lang(A), k2_cqc_the1)) =>  (r2_cqc_the1(A, B, C) => r2_tarski(k3_cqc_the1(A, C), k1_cqc_the1(A, B))) ) ) ) ) ) ) ).
fof(t36_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r2_tarski(C, k1_cqc_the1(A, B)) <=>  (? [D] :  (m2_finseq_1(D, k2_zfmisc_1(k3_cqc_lang(A), k2_cqc_the1)) &  (r2_cqc_the1(A, B, D) & k3_cqc_the1(A, D)=C) ) ) ) ) ) ) ) ) ) ).
fof(t37_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ~ ( (r2_tarski(C, k1_cqc_the1(A, B)) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_cqc_lang(A))) =>  ~ ( (r1_tarski(D, B) &  (v1_finset_1(D) & r2_tarski(C, k1_cqc_the1(A, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) => k4_cqc_the1(A)=k1_cqc_the1(A, k1_subset_1(k3_cqc_lang(A)))) ) ).
fof(t38_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (v1_cqc_the1(B, A) => r1_tarski(k4_cqc_the1(A), B)) ) ) ) ) ).
fof(t39_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) => r1_tarski(k4_cqc_the1(A), k1_cqc_the1(A, B))) ) ) ) ).
fof(t40_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) => v1_cqc_the1(k4_cqc_the1(A), A)) ) ).
fof(t41_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) => r2_tarski(k5_cqc_lang(A), k4_cqc_the1(A))) ) ).
fof(t42_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_tarski(k8_cqc_lang(A, k8_cqc_lang(A, k6_cqc_lang(A, B), B), B), k4_cqc_the1(A))) ) ) ) ).
fof(t43_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_tarski(k8_cqc_lang(A, B, k8_cqc_lang(A, k6_cqc_lang(A, B), C)), k4_cqc_the1(A))) ) ) ) ) ) ).
fof(t44_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_tarski(k8_cqc_lang(A, k8_cqc_lang(A, B, C), k8_cqc_lang(A, k6_cqc_lang(A, k7_cqc_lang(A, C, D)), k6_cqc_lang(A, k7_cqc_lang(A, B, D)))), k4_cqc_the1(A))) ) ) ) ) ) ) ) ).
fof(t45_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_tarski(k8_cqc_lang(A, k7_cqc_lang(A, B, C), k7_cqc_lang(A, C, B)), k4_cqc_the1(A))) ) ) ) ) ) ).
fof(t46_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (r2_tarski(B, k4_cqc_the1(A)) & r2_tarski(k8_cqc_lang(A, B, C), k4_cqc_the1(A)))  => r2_tarski(C, k4_cqc_the1(A))) ) ) ) ) ) ) ).
fof(t47_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) => r2_tarski(k8_cqc_lang(A, k11_cqc_lang(A, C, B), B), k4_cqc_the1(A))) ) ) ) ) ) ).
fof(t48_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (r2_tarski(k8_cqc_lang(A, B, C), k4_cqc_the1(A)) =>  (r2_tarski(D, k24_qc_lang1(A, B)) | r2_tarski(k8_cqc_lang(A, B, k11_cqc_lang(A, D, C)), k4_cqc_the1(A))) ) ) ) ) ) ) ) ) ) ).
fof(t49_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( (r2_tarski(k13_cqc_lang(A, B, C), k3_cqc_lang(A)) &  (r2_tarski(k13_cqc_lang(A, B, D), k3_cqc_lang(A)) & r2_tarski(k13_cqc_lang(A, B, C), k4_cqc_the1(A))) )  =>  (r2_tarski(C, k24_qc_lang1(A, B)) | r2_tarski(k13_cqc_lang(A, B, D), k4_cqc_the1(A))) ) ) ) ) ) ) ) ) ) ).
fof(d8_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (r3_cqc_the1(A, B, C) <=> r2_tarski(C, k1_cqc_the1(A, B))) ) ) ) ) ) ) ).
fof(t50_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) => r3_cqc_the1(A, B, k5_cqc_lang(A))) ) ) ) ).
fof(t51_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => r3_cqc_the1(A, B, k8_cqc_lang(A, k8_cqc_lang(A, k6_cqc_lang(A, C), C), C))) ) ) ) ) ) ).
fof(t52_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) => r3_cqc_the1(A, B, k8_cqc_lang(A, C, k8_cqc_lang(A, k6_cqc_lang(A, C), D)))) ) ) ) ) ) ) ) ).
fof(t53_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m2_subset_1(E, k9_qc_lang1(A), k3_cqc_lang(A)) => r3_cqc_the1(A, B, k8_cqc_lang(A, k8_cqc_lang(A, C, D), k8_cqc_lang(A, k6_cqc_lang(A, k7_cqc_lang(A, D, E)), k6_cqc_lang(A, k7_cqc_lang(A, C, E)))))) ) ) ) ) ) ) ) ) ) ).
fof(t54_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) => r3_cqc_the1(A, B, k8_cqc_lang(A, k7_cqc_lang(A, C, D), k7_cqc_lang(A, D, C)))) ) ) ) ) ) ) ) ).
fof(t55_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (r3_cqc_the1(A, B, C) & r3_cqc_the1(A, B, k8_cqc_lang(A, C, D)))  => r3_cqc_the1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t56_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) => r3_cqc_the1(A, B, k8_cqc_lang(A, k11_cqc_lang(A, D, C), C))) ) ) ) ) ) ) ) ).
fof(t57_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m2_subset_1(E, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (r3_cqc_the1(A, B, k8_cqc_lang(A, C, D)) =>  (r2_tarski(E, k24_qc_lang1(A, C)) | r3_cqc_the1(A, B, k8_cqc_lang(A, C, k11_cqc_lang(A, E, D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [E] :  (m2_subset_1(E, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( (r2_tarski(k13_cqc_lang(A, C, E), k3_cqc_lang(A)) & r3_cqc_the1(A, B, k13_cqc_lang(A, C, D)))  =>  (r2_tarski(D, k24_qc_lang1(A, C)) | r3_cqc_the1(A, B, k13_cqc_lang(A, C, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v2_cqc_the1(B, A) <=> r3_cqc_the1(A, k1_subset_1(k3_cqc_lang(A)), B)) ) ) ) ) ).
fof(d10_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v2_cqc_the1(B, A) <=> r2_tarski(B, k4_cqc_the1(A))) ) ) ) ) ).
fof(t59_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (v2_cqc_the1(C, A) => r3_cqc_the1(A, B, C)) ) ) ) ) ) ) ).
fof(t60_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) => v2_cqc_the1(k5_cqc_lang(A), A)) ) ).
fof(t61_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) => v2_cqc_the1(k8_cqc_lang(A, k8_cqc_lang(A, k6_cqc_lang(A, B), B), B), A)) ) ) ) ).
fof(t62_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => v2_cqc_the1(k8_cqc_lang(A, B, k8_cqc_lang(A, k6_cqc_lang(A, B), C)), A)) ) ) ) ) ) ).
fof(t63_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) => v2_cqc_the1(k8_cqc_lang(A, k8_cqc_lang(A, B, C), k8_cqc_lang(A, k6_cqc_lang(A, k7_cqc_lang(A, C, D)), k6_cqc_lang(A, k7_cqc_lang(A, B, D)))), A)) ) ) ) ) ) ) ) ).
fof(t64_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => v2_cqc_the1(k8_cqc_lang(A, k7_cqc_lang(A, B, C), k7_cqc_lang(A, C, B)), A)) ) ) ) ) ) ).
fof(t65_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (v2_cqc_the1(B, A) & v2_cqc_the1(k8_cqc_lang(A, B, C), A))  => v2_cqc_the1(C, A)) ) ) ) ) ) ) ).
fof(t66_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) => v2_cqc_the1(k8_cqc_lang(A, k11_cqc_lang(A, C, B), B), A)) ) ) ) ) ) ).
fof(t67_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (v2_cqc_the1(k8_cqc_lang(A, B, C), A) =>  (r2_tarski(D, k24_qc_lang1(A, B)) | v2_cqc_the1(k8_cqc_lang(A, B, k11_cqc_lang(A, D, C)), A)) ) ) ) ) ) ) ) ) ) ).
fof(t68_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( (r2_tarski(k13_cqc_lang(A, B, D), k3_cqc_lang(A)) & v2_cqc_the1(k13_cqc_lang(A, B, C), A))  =>  (r2_tarski(C, k24_qc_lang1(A, B)) | v2_cqc_the1(k13_cqc_lang(A, B, D), A)) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_cqc_the1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))))  => m1_subset_1(k1_cqc_the1(A, B), k1_zfmisc_1(k3_cqc_lang(A)))) ) ).
fof(dt_k3_cqc_the1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_finseq_1(B, k2_zfmisc_1(k3_cqc_lang(A), k2_cqc_the1)))  => m2_subset_1(k3_cqc_the1(A, B), k9_qc_lang1(A), k3_cqc_lang(A))) ) ).
fof(dt_k4_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) => m1_subset_1(k4_cqc_the1(A), k1_zfmisc_1(k3_cqc_lang(A)))) ) ).
fof(d3_cqc_the1, axiom, k2_cqc_the1=a_0_0_cqc_the1).
fof(t33_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) => r1_tarski(B, a_2_0_cqc_the1(A, B))) ) ) ) ).
fof(t34_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) =>  (B=a_2_0_cqc_the1(A, C) => v1_cqc_the1(B, A)) ) ) ) ) ) ) ).
fof(t35_cqc_the1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) => a_2_0_cqc_the1(A, B)=k1_cqc_the1(A, B)) ) ) ) ).
fof(fraenkel_a_0_0_cqc_the1, axiom,  (! [A] :  (r2_hidden(A, a_0_0_cqc_the1) <=>  (? [B] :  (v7_ordinal1(B) &  (A=B & r1_xxreal_0(B, 9)) ) ) ) ) ).
fof(fraenkel_a_2_0_cqc_the1, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(B) & m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(B))))  =>  (r2_hidden(A, a_2_0_cqc_the1(B, C)) <=>  (? [D] :  (m2_subset_1(D, k9_qc_lang1(B), k3_cqc_lang(B)) &  (A=D &  (? [E] :  (m2_finseq_1(E, k2_zfmisc_1(k3_cqc_lang(B), k2_cqc_the1)) &  (r2_cqc_the1(B, C, E) & k3_cqc_the1(B, E)=D) ) ) ) ) ) ) ) ) ).
fof(t1_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (v2_cqc_the1(k8_cqc_lang(A, B, k8_cqc_lang(A, C, D)), A) => v2_cqc_the1(k8_cqc_lang(A, k7_cqc_lang(A, B, C), D), A)) ) ) ) ) ) ) ) ) ).
fof(t2_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (v2_cqc_the1(k8_cqc_lang(A, B, k8_cqc_lang(A, C, D)), A) => v2_cqc_the1(k8_cqc_lang(A, k7_cqc_lang(A, C, B), D), A)) ) ) ) ) ) ) ) ) ).
fof(t3_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (v2_cqc_the1(k8_cqc_lang(A, k7_cqc_lang(A, B, C), D), A) => v2_cqc_the1(k8_cqc_lang(A, B, k8_cqc_lang(A, C, D)), A)) ) ) ) ) ) ) ) ) ).
fof(t4_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (v2_cqc_the1(k8_cqc_lang(A, k7_cqc_lang(A, B, C), D), A) => v2_cqc_the1(k8_cqc_lang(A, C, k8_cqc_lang(A, B, D)), A)) ) ) ) ) ) ) ) ) ).
fof(t5_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (r2_tarski(D, k24_qc_lang1(A, k15_qc_lang1(A, C, B))) <=>  (r2_tarski(D, k24_qc_lang1(A, B)) &  ~ (D=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (r2_tarski(D, k24_qc_lang1(A, k5_qc_lang2(A, C, B))) <=>  (r2_tarski(D, k24_qc_lang1(A, B)) &  ~ (D=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (r2_tarski(D, k24_qc_lang1(A, k2_qc_lang2(A, B, C))) <=>  (r2_tarski(D, k24_qc_lang1(A, B)) | r2_tarski(D, k24_qc_lang1(A, C))) ) ) ) ) ) ) ) ) ) ).
fof(t8_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (r2_tarski(D, k24_qc_lang1(A, k14_qc_lang1(A, B, C))) <=>  (r2_tarski(D, k24_qc_lang1(A, B)) | r2_tarski(D, k24_qc_lang1(A, C))) ) ) ) ) ) ) ) ) ) ).
fof(t9_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (r2_tarski(D, k24_qc_lang1(A, k3_qc_lang2(A, B, C))) <=>  (r2_tarski(D, k24_qc_lang1(A, B)) | r2_tarski(D, k24_qc_lang1(A, C))) ) ) ) ) ) ) ) ) ) ).
fof(t10_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( ~ (r2_tarski(C, k24_qc_lang1(A, k6_qc_lang2(A, C, D, B))))  &  ~ (r2_tarski(D, k24_qc_lang1(A, k6_qc_lang2(A, C, D, B)))) ) ) ) ) ) ) ) ) ) ).
fof(t11_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( ~ (r2_tarski(C, k24_qc_lang1(A, k7_qc_lang2(A, C, D, B))))  &  ~ (r2_tarski(D, k24_qc_lang1(A, k7_qc_lang2(A, C, D, B)))) ) ) ) ) ) ) ) ) ) ).
fof(t12_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) => k13_cqc_lang(A, k2_qc_lang2(A, B, C), D)=k2_qc_lang2(A, k13_cqc_lang(A, B, D), k13_cqc_lang(A, C, D))) ) ) ) ) ) ) ) ).
fof(t13_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) => k13_cqc_lang(A, k3_qc_lang2(A, B, C), D)=k3_qc_lang2(A, k13_cqc_lang(A, B, D), k13_cqc_lang(A, C, D))) ) ) ) ) ) ) ) ).
fof(t14_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( ~ (C=D)  => k13_cqc_lang(A, k12_cqc_lang(A, C, B), D)=k5_qc_lang2(A, C, k13_cqc_lang(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t15_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) => v2_cqc_the1(k8_cqc_lang(A, B, k12_cqc_lang(A, C, B)), A)) ) ) ) ) ) ).
fof(t16_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (v2_cqc_the1(B, A) => v2_cqc_the1(k12_cqc_lang(A, C, B), A)) ) ) ) ) ) ) ).
fof(t17_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) => v2_cqc_the1(k8_cqc_lang(A, k11_cqc_lang(A, C, B), k12_cqc_lang(A, C, B)), A)) ) ) ) ) ) ).
fof(t18_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) => v2_cqc_the1(k8_cqc_lang(A, k11_cqc_lang(A, C, B), k12_cqc_lang(A, D, B)), A)) ) ) ) ) ) ) ) ).
fof(t19_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (v2_cqc_the1(k8_cqc_lang(A, B, C), A) =>  (r2_tarski(D, k24_qc_lang1(A, C)) | v2_cqc_the1(k8_cqc_lang(A, k12_cqc_lang(A, D, B), C), A)) ) ) ) ) ) ) ) ) ) ).
fof(t20_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( ~ (r2_tarski(C, k24_qc_lang1(A, B)))  => v2_cqc_the1(k8_cqc_lang(A, k12_cqc_lang(A, C, B), B), A)) ) ) ) ) ) ) ).
fof(t21_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (v2_cqc_the1(k12_cqc_lang(A, C, B), A) =>  (r2_tarski(C, k24_qc_lang1(A, B)) | v2_cqc_the1(B, A)) ) ) ) ) ) ) ) ).
fof(t22_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m1_subset_1(D, k9_qc_lang1(A)) =>  (! [E] :  (m2_subset_1(E, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [F] :  (m2_subset_1(F, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( (B=k13_cqc_lang(A, D, E) & C=k13_cqc_lang(A, D, F))  =>  (r2_tarski(F, k24_qc_lang1(A, D)) | v2_cqc_the1(k8_cqc_lang(A, B, k12_cqc_lang(A, F, C)), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (v2_cqc_the1(B, A) => v2_cqc_the1(k11_cqc_lang(A, C, B), A)) ) ) ) ) ) ) ).
fof(t24_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( ~ (r2_tarski(C, k24_qc_lang1(A, B)))  => v2_cqc_the1(k8_cqc_lang(A, B, k11_cqc_lang(A, C, B)), A)) ) ) ) ) ) ) ).
fof(t25_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m1_subset_1(D, k9_qc_lang1(A)) =>  (! [E] :  (m2_subset_1(E, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [F] :  (m2_subset_1(F, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( (B=k13_cqc_lang(A, D, E) & C=k13_cqc_lang(A, D, F))  =>  (r2_tarski(E, k24_qc_lang1(A, D)) | v2_cqc_the1(k8_cqc_lang(A, k11_cqc_lang(A, E, B), C), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( ~ (r2_tarski(D, k24_qc_lang1(A, B)))  => v2_cqc_the1(k8_cqc_lang(A, k11_cqc_lang(A, C, B), k11_cqc_lang(A, D, B)), A)) ) ) ) ) ) ) ) ) ).
fof(t27_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m1_subset_1(D, k9_qc_lang1(A)) =>  (! [E] :  (m2_subset_1(E, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [F] :  (m2_subset_1(F, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( (B=k13_cqc_lang(A, D, E) & C=k13_cqc_lang(A, D, F))  =>  (r2_tarski(E, k24_qc_lang1(A, D)) |  (r2_tarski(F, k24_qc_lang1(A, B)) | v2_cqc_the1(k8_cqc_lang(A, k11_cqc_lang(A, E, B), k11_cqc_lang(A, F, C)), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( ~ (r2_tarski(C, k24_qc_lang1(A, B)))  => v2_cqc_the1(k8_cqc_lang(A, k12_cqc_lang(A, C, B), k12_cqc_lang(A, D, B)), A)) ) ) ) ) ) ) ) ) ).
fof(t29_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m1_subset_1(D, k9_qc_lang1(A)) =>  (! [E] :  (m2_subset_1(E, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [F] :  (m2_subset_1(F, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( (B=k13_cqc_lang(A, D, E) & C=k13_cqc_lang(A, D, F))  =>  (r2_tarski(E, k24_qc_lang1(A, C)) |  (r2_tarski(F, k24_qc_lang1(A, D)) | v2_cqc_the1(k8_cqc_lang(A, k12_cqc_lang(A, E, B), k12_cqc_lang(A, F, C)), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) => v2_cqc_the1(k8_cqc_lang(A, k11_cqc_lang(A, D, k8_cqc_lang(A, B, C)), k8_cqc_lang(A, k11_cqc_lang(A, D, B), k11_cqc_lang(A, D, C))), A)) ) ) ) ) ) ) ) ).
fof(t31_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (v2_cqc_the1(k11_cqc_lang(A, D, k8_cqc_lang(A, B, C)), A) => v2_cqc_the1(k8_cqc_lang(A, k11_cqc_lang(A, D, B), k11_cqc_lang(A, D, C)), A)) ) ) ) ) ) ) ) ) ).
fof(t32_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) => v2_cqc_the1(k8_cqc_lang(A, k11_cqc_lang(A, D, k10_cqc_lang(A, B, C)), k10_cqc_lang(A, k11_cqc_lang(A, D, B), k11_cqc_lang(A, D, C))), A)) ) ) ) ) ) ) ) ).
fof(t33_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (v2_cqc_the1(k11_cqc_lang(A, D, k10_cqc_lang(A, B, C)), A) => v2_cqc_the1(k10_cqc_lang(A, k11_cqc_lang(A, D, B), k11_cqc_lang(A, D, C)), A)) ) ) ) ) ) ) ) ) ).
fof(t34_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) => v2_cqc_the1(k8_cqc_lang(A, k11_cqc_lang(A, D, k8_cqc_lang(A, B, C)), k8_cqc_lang(A, k12_cqc_lang(A, D, B), k12_cqc_lang(A, D, C))), A)) ) ) ) ) ) ) ) ).
fof(t35_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (v2_cqc_the1(k11_cqc_lang(A, D, k8_cqc_lang(A, B, C)), A) => v2_cqc_the1(k8_cqc_lang(A, k12_cqc_lang(A, D, B), k12_cqc_lang(A, D, C)), A)) ) ) ) ) ) ) ) ) ).
fof(t36_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (v2_cqc_the1(k8_cqc_lang(A, k11_cqc_lang(A, D, k7_cqc_lang(A, B, C)), k7_cqc_lang(A, k11_cqc_lang(A, D, B), k11_cqc_lang(A, D, C))), A) & v2_cqc_the1(k8_cqc_lang(A, k7_cqc_lang(A, k11_cqc_lang(A, D, B), k11_cqc_lang(A, D, C)), k11_cqc_lang(A, D, k7_cqc_lang(A, B, C))), A)) ) ) ) ) ) ) ) ) ).
fof(t37_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) => v2_cqc_the1(k10_cqc_lang(A, k11_cqc_lang(A, D, k7_cqc_lang(A, B, C)), k7_cqc_lang(A, k11_cqc_lang(A, D, B), k11_cqc_lang(A, D, C))), A)) ) ) ) ) ) ) ) ).
fof(t38_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (v2_cqc_the1(k11_cqc_lang(A, D, k7_cqc_lang(A, B, C)), A) <=> v2_cqc_the1(k7_cqc_lang(A, k11_cqc_lang(A, D, B), k11_cqc_lang(A, D, C)), A)) ) ) ) ) ) ) ) ) ).
fof(t39_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) => v2_cqc_the1(k8_cqc_lang(A, k9_cqc_lang(A, k11_cqc_lang(A, D, B), k11_cqc_lang(A, D, C)), k11_cqc_lang(A, D, k9_cqc_lang(A, B, C))), A)) ) ) ) ) ) ) ) ).
fof(t40_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (v2_cqc_the1(k8_cqc_lang(A, k12_cqc_lang(A, D, k9_cqc_lang(A, B, C)), k9_cqc_lang(A, k12_cqc_lang(A, D, B), k12_cqc_lang(A, D, C))), A) & v2_cqc_the1(k8_cqc_lang(A, k9_cqc_lang(A, k12_cqc_lang(A, D, B), k12_cqc_lang(A, D, C)), k12_cqc_lang(A, D, k9_cqc_lang(A, B, C))), A)) ) ) ) ) ) ) ) ) ).
fof(t41_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) => v2_cqc_the1(k10_cqc_lang(A, k12_cqc_lang(A, D, k9_cqc_lang(A, B, C)), k9_cqc_lang(A, k12_cqc_lang(A, D, B), k12_cqc_lang(A, D, C))), A)) ) ) ) ) ) ) ) ).
fof(t42_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (v2_cqc_the1(k12_cqc_lang(A, D, k9_cqc_lang(A, B, C)), A) <=> v2_cqc_the1(k9_cqc_lang(A, k12_cqc_lang(A, D, B), k12_cqc_lang(A, D, C)), A)) ) ) ) ) ) ) ) ) ).
fof(t43_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) => v2_cqc_the1(k8_cqc_lang(A, k12_cqc_lang(A, D, k7_cqc_lang(A, B, C)), k7_cqc_lang(A, k12_cqc_lang(A, D, B), k12_cqc_lang(A, D, C))), A)) ) ) ) ) ) ) ) ).
fof(t44_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (v2_cqc_the1(k12_cqc_lang(A, D, k7_cqc_lang(A, B, C)), A) => v2_cqc_the1(k7_cqc_lang(A, k12_cqc_lang(A, D, B), k12_cqc_lang(A, D, C)), A)) ) ) ) ) ) ) ) ) ).
fof(t45_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (v2_cqc_the1(k8_cqc_lang(A, k11_cqc_lang(A, C, k6_cqc_lang(A, k6_cqc_lang(A, B))), k11_cqc_lang(A, C, B)), A) & v2_cqc_the1(k8_cqc_lang(A, k11_cqc_lang(A, C, B), k11_cqc_lang(A, C, k6_cqc_lang(A, k6_cqc_lang(A, B)))), A)) ) ) ) ) ) ) ).
fof(t46_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) => v2_cqc_the1(k10_cqc_lang(A, k11_cqc_lang(A, C, k6_cqc_lang(A, k6_cqc_lang(A, B))), k11_cqc_lang(A, C, B)), A)) ) ) ) ) ) ).
fof(t47_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (v2_cqc_the1(k8_cqc_lang(A, k12_cqc_lang(A, C, k6_cqc_lang(A, k6_cqc_lang(A, B))), k12_cqc_lang(A, C, B)), A) & v2_cqc_the1(k8_cqc_lang(A, k12_cqc_lang(A, C, B), k12_cqc_lang(A, C, k6_cqc_lang(A, k6_cqc_lang(A, B)))), A)) ) ) ) ) ) ) ).
fof(t48_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) => v2_cqc_the1(k10_cqc_lang(A, k12_cqc_lang(A, C, k6_cqc_lang(A, k6_cqc_lang(A, B))), k12_cqc_lang(A, C, B)), A)) ) ) ) ) ) ).
fof(t49_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (v2_cqc_the1(k8_cqc_lang(A, k6_cqc_lang(A, k12_cqc_lang(A, C, k6_cqc_lang(A, B))), k11_cqc_lang(A, C, B)), A) & v2_cqc_the1(k8_cqc_lang(A, k11_cqc_lang(A, C, B), k6_cqc_lang(A, k12_cqc_lang(A, C, k6_cqc_lang(A, B)))), A)) ) ) ) ) ) ) ).
fof(t50_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) => v2_cqc_the1(k10_cqc_lang(A, k6_cqc_lang(A, k12_cqc_lang(A, C, k6_cqc_lang(A, B))), k11_cqc_lang(A, C, B)), A)) ) ) ) ) ) ).
fof(t51_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (v2_cqc_the1(k8_cqc_lang(A, k6_cqc_lang(A, k11_cqc_lang(A, C, B)), k12_cqc_lang(A, C, k6_cqc_lang(A, B))), A) & v2_cqc_the1(k8_cqc_lang(A, k12_cqc_lang(A, C, k6_cqc_lang(A, B)), k6_cqc_lang(A, k11_cqc_lang(A, C, B))), A)) ) ) ) ) ) ) ).
fof(t52_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) => v2_cqc_the1(k10_cqc_lang(A, k6_cqc_lang(A, k11_cqc_lang(A, C, B)), k12_cqc_lang(A, C, k6_cqc_lang(A, B))), A)) ) ) ) ) ) ).
fof(t53_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (v2_cqc_the1(k8_cqc_lang(A, k6_cqc_lang(A, k12_cqc_lang(A, C, B)), k11_cqc_lang(A, C, k6_cqc_lang(A, B))), A) & v2_cqc_the1(k8_cqc_lang(A, k11_cqc_lang(A, C, k6_cqc_lang(A, B)), k6_cqc_lang(A, k12_cqc_lang(A, C, B))), A)) ) ) ) ) ) ) ).
fof(t54_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) => v2_cqc_the1(k10_cqc_lang(A, k11_cqc_lang(A, C, k6_cqc_lang(A, B)), k6_cqc_lang(A, k12_cqc_lang(A, C, B))), A)) ) ) ) ) ) ).
fof(t55_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (v2_cqc_the1(k8_cqc_lang(A, k11_cqc_lang(A, C, k11_cqc_lang(A, D, B)), k11_cqc_lang(A, D, k11_cqc_lang(A, C, B))), A) & v2_cqc_the1(k2_qc_lang2(A, k6_qc_lang2(A, C, D, B), k6_qc_lang2(A, D, C, B)), A)) ) ) ) ) ) ) ) ) ).
fof(t56_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m1_subset_1(D, k9_qc_lang1(A)) =>  (! [E] :  (m2_subset_1(E, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [F] :  (m2_subset_1(F, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( (B=k13_cqc_lang(A, D, E) & C=k13_cqc_lang(A, D, F))  =>  (r2_tarski(F, k24_qc_lang1(A, D)) | v2_cqc_the1(k8_cqc_lang(A, k11_cqc_lang(A, E, k11_cqc_lang(A, F, C)), k11_cqc_lang(A, E, B)), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (v2_cqc_the1(k8_cqc_lang(A, k12_cqc_lang(A, C, k12_cqc_lang(A, D, B)), k12_cqc_lang(A, D, k12_cqc_lang(A, C, B))), A) & v2_cqc_the1(k2_qc_lang2(A, k7_qc_lang2(A, C, D, B), k7_qc_lang2(A, D, C, B)), A)) ) ) ) ) ) ) ) ) ).
fof(t58_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m1_subset_1(D, k9_qc_lang1(A)) =>  (! [E] :  (m2_subset_1(E, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [F] :  (m2_subset_1(F, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( (B=k13_cqc_lang(A, D, E) & C=k13_cqc_lang(A, D, F))  =>  (r2_tarski(F, k24_qc_lang1(A, D)) | v2_cqc_the1(k2_qc_lang2(A, k12_cqc_lang(A, E, B), k7_qc_lang2(A, E, F, C)), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) => v2_cqc_the1(k8_cqc_lang(A, k12_cqc_lang(A, C, k11_cqc_lang(A, D, B)), k11_cqc_lang(A, D, k12_cqc_lang(A, C, B))), A)) ) ) ) ) ) ) ) ).
fof(t60_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) => v2_cqc_the1(k12_cqc_lang(A, C, k10_cqc_lang(A, B, B)), A)) ) ) ) ) ) ).
fof(t61_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (v2_cqc_the1(k8_cqc_lang(A, k12_cqc_lang(A, D, k8_cqc_lang(A, B, C)), k8_cqc_lang(A, k11_cqc_lang(A, D, B), k12_cqc_lang(A, D, C))), A) & v2_cqc_the1(k8_cqc_lang(A, k8_cqc_lang(A, k11_cqc_lang(A, D, B), k12_cqc_lang(A, D, C)), k12_cqc_lang(A, D, k8_cqc_lang(A, B, C))), A)) ) ) ) ) ) ) ) ) ).
fof(t62_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) => v2_cqc_the1(k10_cqc_lang(A, k12_cqc_lang(A, D, k8_cqc_lang(A, B, C)), k8_cqc_lang(A, k11_cqc_lang(A, D, B), k12_cqc_lang(A, D, C))), A)) ) ) ) ) ) ) ) ).
fof(t63_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (v2_cqc_the1(k12_cqc_lang(A, D, k8_cqc_lang(A, B, C)), A) <=> v2_cqc_the1(k8_cqc_lang(A, k11_cqc_lang(A, D, B), k12_cqc_lang(A, D, C)), A)) ) ) ) ) ) ) ) ) ).
fof(t64_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) => v2_cqc_the1(k8_cqc_lang(A, k11_cqc_lang(A, D, k7_cqc_lang(A, B, C)), k7_cqc_lang(A, B, k11_cqc_lang(A, D, C))), A)) ) ) ) ) ) ) ) ).
fof(t65_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) => v2_cqc_the1(k8_cqc_lang(A, k11_cqc_lang(A, D, k7_cqc_lang(A, B, C)), k7_cqc_lang(A, k11_cqc_lang(A, D, B), C)), A)) ) ) ) ) ) ) ) ).
fof(t66_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( ~ (r2_tarski(D, k24_qc_lang1(A, B)))  => v2_cqc_the1(k8_cqc_lang(A, k7_cqc_lang(A, B, k11_cqc_lang(A, D, C)), k11_cqc_lang(A, D, k7_cqc_lang(A, B, C))), A)) ) ) ) ) ) ) ) ) ).
fof(t67_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (v2_cqc_the1(k7_cqc_lang(A, B, k11_cqc_lang(A, D, C)), A) =>  (r2_tarski(D, k24_qc_lang1(A, B)) | v2_cqc_the1(k11_cqc_lang(A, D, k7_cqc_lang(A, B, C)), A)) ) ) ) ) ) ) ) ) ) ).
fof(t68_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( ~ (r2_tarski(D, k24_qc_lang1(A, B)))  =>  (v2_cqc_the1(k8_cqc_lang(A, k9_cqc_lang(A, B, k11_cqc_lang(A, D, C)), k11_cqc_lang(A, D, k9_cqc_lang(A, B, C))), A) & v2_cqc_the1(k8_cqc_lang(A, k11_cqc_lang(A, D, k9_cqc_lang(A, B, C)), k9_cqc_lang(A, B, k11_cqc_lang(A, D, C))), A)) ) ) ) ) ) ) ) ) ) ).
fof(t69_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( ~ (r2_tarski(D, k24_qc_lang1(A, B)))  => v2_cqc_the1(k10_cqc_lang(A, k9_cqc_lang(A, B, k11_cqc_lang(A, D, C)), k11_cqc_lang(A, D, k9_cqc_lang(A, B, C))), A)) ) ) ) ) ) ) ) ) ).
fof(t70_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( ~ (r2_tarski(D, k24_qc_lang1(A, B)))  =>  (v2_cqc_the1(k9_cqc_lang(A, B, k11_cqc_lang(A, D, C)), A) <=> v2_cqc_the1(k11_cqc_lang(A, D, k9_cqc_lang(A, B, C)), A)) ) ) ) ) ) ) ) ) ) ).
fof(t71_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( ~ (r2_tarski(D, k24_qc_lang1(A, B)))  =>  (v2_cqc_the1(k8_cqc_lang(A, k7_cqc_lang(A, B, k12_cqc_lang(A, D, C)), k12_cqc_lang(A, D, k7_cqc_lang(A, B, C))), A) & v2_cqc_the1(k8_cqc_lang(A, k12_cqc_lang(A, D, k7_cqc_lang(A, B, C)), k7_cqc_lang(A, B, k12_cqc_lang(A, D, C))), A)) ) ) ) ) ) ) ) ) ) ).
fof(t72_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( ~ (r2_tarski(D, k24_qc_lang1(A, B)))  => v2_cqc_the1(k10_cqc_lang(A, k7_cqc_lang(A, B, k12_cqc_lang(A, D, C)), k12_cqc_lang(A, D, k7_cqc_lang(A, B, C))), A)) ) ) ) ) ) ) ) ) ).
fof(t73_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( ~ (r2_tarski(D, k24_qc_lang1(A, B)))  =>  (v2_cqc_the1(k7_cqc_lang(A, B, k12_cqc_lang(A, D, C)), A) <=> v2_cqc_the1(k12_cqc_lang(A, D, k7_cqc_lang(A, B, C)), A)) ) ) ) ) ) ) ) ) ) ).
fof(t74_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( ~ (r2_tarski(D, k24_qc_lang1(A, B)))  =>  (v2_cqc_the1(k8_cqc_lang(A, k11_cqc_lang(A, D, k8_cqc_lang(A, B, C)), k8_cqc_lang(A, B, k11_cqc_lang(A, D, C))), A) & v2_cqc_the1(k8_cqc_lang(A, k8_cqc_lang(A, B, k11_cqc_lang(A, D, C)), k11_cqc_lang(A, D, k8_cqc_lang(A, B, C))), A)) ) ) ) ) ) ) ) ) ) ).
fof(t75_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( ~ (r2_tarski(D, k24_qc_lang1(A, B)))  => v2_cqc_the1(k10_cqc_lang(A, k8_cqc_lang(A, B, k11_cqc_lang(A, D, C)), k11_cqc_lang(A, D, k8_cqc_lang(A, B, C))), A)) ) ) ) ) ) ) ) ) ).
fof(t76_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( ~ (r2_tarski(D, k24_qc_lang1(A, B)))  =>  (v2_cqc_the1(k11_cqc_lang(A, D, k8_cqc_lang(A, B, C)), A) <=> v2_cqc_the1(k8_cqc_lang(A, B, k11_cqc_lang(A, D, C)), A)) ) ) ) ) ) ) ) ) ) ).
fof(t77_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( ~ (r2_tarski(D, k24_qc_lang1(A, C)))  => v2_cqc_the1(k8_cqc_lang(A, k12_cqc_lang(A, D, k8_cqc_lang(A, B, C)), k8_cqc_lang(A, k11_cqc_lang(A, D, B), C)), A)) ) ) ) ) ) ) ) ) ).
fof(t78_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) => v2_cqc_the1(k8_cqc_lang(A, k8_cqc_lang(A, k11_cqc_lang(A, D, B), C), k12_cqc_lang(A, D, k8_cqc_lang(A, B, C))), A)) ) ) ) ) ) ) ) ).
fof(t79_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( ~ (r2_tarski(D, k24_qc_lang1(A, C)))  =>  (v2_cqc_the1(k8_cqc_lang(A, k11_cqc_lang(A, D, B), C), A) <=> v2_cqc_the1(k12_cqc_lang(A, D, k8_cqc_lang(A, B, C)), A)) ) ) ) ) ) ) ) ) ) ).
fof(t80_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( ~ (r2_tarski(D, k24_qc_lang1(A, C)))  =>  (v2_cqc_the1(k8_cqc_lang(A, k8_cqc_lang(A, k12_cqc_lang(A, D, B), C), k11_cqc_lang(A, D, k8_cqc_lang(A, B, C))), A) & v2_cqc_the1(k8_cqc_lang(A, k11_cqc_lang(A, D, k8_cqc_lang(A, B, C)), k8_cqc_lang(A, k12_cqc_lang(A, D, B), C)), A)) ) ) ) ) ) ) ) ) ) ).
fof(t81_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( ~ (r2_tarski(D, k24_qc_lang1(A, C)))  => v2_cqc_the1(k10_cqc_lang(A, k8_cqc_lang(A, k12_cqc_lang(A, D, B), C), k11_cqc_lang(A, D, k8_cqc_lang(A, B, C))), A)) ) ) ) ) ) ) ) ) ).
fof(t82_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( ~ (r2_tarski(D, k24_qc_lang1(A, C)))  =>  (v2_cqc_the1(k8_cqc_lang(A, k12_cqc_lang(A, D, B), C), A) <=> v2_cqc_the1(k11_cqc_lang(A, D, k8_cqc_lang(A, B, C)), A)) ) ) ) ) ) ) ) ) ) ).
fof(t83_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( ~ (r2_tarski(D, k24_qc_lang1(A, B)))  => v2_cqc_the1(k8_cqc_lang(A, k12_cqc_lang(A, D, k8_cqc_lang(A, B, C)), k8_cqc_lang(A, B, k12_cqc_lang(A, D, C))), A)) ) ) ) ) ) ) ) ) ).
fof(t84_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) => v2_cqc_the1(k8_cqc_lang(A, k8_cqc_lang(A, B, k12_cqc_lang(A, D, C)), k12_cqc_lang(A, D, k8_cqc_lang(A, B, C))), A)) ) ) ) ) ) ) ) ).
fof(t85_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( ~ (r2_tarski(D, k24_qc_lang1(A, B)))  => v2_cqc_the1(k10_cqc_lang(A, k8_cqc_lang(A, B, k12_cqc_lang(A, D, C)), k12_cqc_lang(A, D, k8_cqc_lang(A, B, C))), A)) ) ) ) ) ) ) ) ) ).
fof(t86_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( ~ (r2_tarski(D, k24_qc_lang1(A, B)))  =>  (v2_cqc_the1(k8_cqc_lang(A, B, k12_cqc_lang(A, D, C)), A) <=> v2_cqc_the1(k12_cqc_lang(A, D, k8_cqc_lang(A, B, C)), A)) ) ) ) ) ) ) ) ) ) ).
fof(t87_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) => r3_cqc_the1(A, k6_domain_1(k3_cqc_lang(A), B), B)) ) ) ) ).
fof(t88_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => k1_cqc_the1(A, k4_subset_1(k3_cqc_lang(A), k6_domain_1(k3_cqc_lang(A), B), k6_domain_1(k3_cqc_lang(A), C)))=k1_cqc_the1(A, k6_domain_1(k3_cqc_lang(A), k7_cqc_lang(A, B, C)))) ) ) ) ) ) ).
fof(t89_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r3_cqc_the1(A, k7_domain_1(k3_cqc_lang(A), B, C), D) <=> r3_cqc_the1(A, k6_domain_1(k3_cqc_lang(A), k7_cqc_lang(A, B, C)), D)) ) ) ) ) ) ) ) ) ).
fof(t90_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (r3_cqc_the1(A, B, C) => r3_cqc_the1(A, B, k11_cqc_lang(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t91_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m2_subset_1(E, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( ~ (r2_tarski(E, k24_qc_lang1(A, C)))  => r3_cqc_the1(A, B, k8_cqc_lang(A, k11_cqc_lang(A, E, k8_cqc_lang(A, C, D)), k8_cqc_lang(A, C, k11_cqc_lang(A, E, D))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t92_cqc_the2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (v6_qc_lang1(C, A) & r3_cqc_the1(A, k4_subset_1(k3_cqc_lang(A), B, k6_domain_1(k3_cqc_lang(A), C)), D))  => r3_cqc_the1(A, B, k8_cqc_lang(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t1_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) =>  (r2_tarski(B, C) => r3_cqc_the1(A, C, B)) ) ) ) ) ) ) ).
fof(t2_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) =>  (r1_tarski(B, k1_cqc_the1(A, C)) => r1_tarski(k1_cqc_the1(A, B), k1_cqc_the1(A, C))) ) ) ) ) ) ) ).
fof(t3_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_cqc_lang(A))) =>  ( (r3_cqc_the1(A, D, B) & r3_cqc_the1(A, k6_domain_1(k3_cqc_lang(A), B), C))  => r3_cqc_the1(A, D, C)) ) ) ) ) ) ) ) ) ).
fof(t4_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_cqc_lang(A))) =>  ( (r3_cqc_the1(A, C, B) & r1_tarski(C, D))  => r3_cqc_the1(A, D, B)) ) ) ) ) ) ) ) ) ).
fof(d1_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r1_cqc_the3(A, B, C) <=> r3_cqc_the1(A, k6_domain_1(k3_cqc_lang(A), B), C)) ) ) ) ) ) ) ).
fof(t5_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) => r1_cqc_the3(A, B, B)) ) ) ) ).
fof(t6_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (r1_cqc_the3(A, B, C) & r1_cqc_the3(A, C, D))  => r1_cqc_the3(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d2_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) =>  (r2_cqc_the3(A, B, C) <=>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r2_tarski(D, C) => r3_cqc_the1(A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t7_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) =>  (r2_cqc_the3(A, B, C) <=> r1_tarski(C, k1_cqc_the1(A, B))) ) ) ) ) ) ) ).
fof(t8_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) => r2_cqc_the3(A, B, B)) ) ) ) ).
fof(t9_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_cqc_lang(A))) =>  ( (r2_cqc_the3(A, B, C) & r2_cqc_the3(A, C, D))  => r2_cqc_the3(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t10_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) =>  (r2_cqc_the3(A, C, k6_domain_1(k3_cqc_lang(A), B)) <=> r3_cqc_the1(A, C, B)) ) ) ) ) ) ) ).
fof(t11_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r2_cqc_the3(A, k6_domain_1(k3_cqc_lang(A), B), k6_domain_1(k3_cqc_lang(A), C)) <=> r1_cqc_the3(A, B, C)) ) ) ) ) ) ) ).
fof(t12_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) =>  (r1_tarski(B, C) => r2_cqc_the3(A, C, B)) ) ) ) ) ) ) ).
fof(t13_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) => r2_cqc_the3(A, B, k4_cqc_the1(A))) ) ) ) ).
fof(t14_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) => r2_cqc_the3(A, k1_subset_1(k3_cqc_lang(A)), k4_cqc_the1(A))) ) ).
fof(d3_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (r3_cqc_the3(A, B) <=>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r2_tarski(C, B) => v2_cqc_the1(C, A)) ) ) ) ) ) ) ) ).
fof(t15_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (r3_cqc_the3(A, B) <=> r2_cqc_the3(A, k1_subset_1(k3_cqc_lang(A)), B)) ) ) ) ) ).
fof(t16_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) => r3_cqc_the3(A, k4_cqc_the1(A))) ) ).
fof(t17_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (r3_cqc_the3(A, B) <=> r1_tarski(B, k4_cqc_the1(A))) ) ) ) ) ).
fof(d4_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) =>  (r4_cqc_the3(A, B, C) <=>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r3_cqc_the1(A, B, D) <=> r3_cqc_the1(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t18_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) =>  (r4_cqc_the3(A, B, C) <=>  (r2_cqc_the3(A, B, C) & r2_cqc_the3(A, C, B)) ) ) ) ) ) ) ) ).
fof(t19_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_cqc_lang(A))) =>  ( (r4_cqc_the3(A, B, C) & r4_cqc_the3(A, C, D))  => r4_cqc_the3(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t20_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) =>  (r4_cqc_the3(A, B, C) <=> k1_cqc_the1(A, B)=k1_cqc_the1(A, C)) ) ) ) ) ) ) ).
fof(t21_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) => r1_tarski(k4_subset_1(k3_cqc_lang(A), k1_cqc_the1(A, B), k1_cqc_the1(A, C)), k1_cqc_the1(A, k4_subset_1(k3_cqc_lang(A), B, C)))) ) ) ) ) ) ).
fof(t22_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) => k1_cqc_the1(A, k4_subset_1(k3_cqc_lang(A), B, C))=k1_cqc_the1(A, k4_subset_1(k3_cqc_lang(A), k1_cqc_the1(A, B), k1_cqc_the1(A, C)))) ) ) ) ) ) ).
fof(t23_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) => r4_cqc_the3(A, B, k1_cqc_the1(A, B))) ) ) ) ).
fof(t24_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) => r4_cqc_the3(A, k4_subset_1(k3_cqc_lang(A), B, C), k4_subset_1(k3_cqc_lang(A), k1_cqc_the1(A, B), k1_cqc_the1(A, C)))) ) ) ) ) ) ).
fof(t25_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_cqc_lang(A))) =>  (r4_cqc_the3(A, C, D) => r4_cqc_the3(A, k4_subset_1(k3_cqc_lang(A), C, B), k4_subset_1(k3_cqc_lang(A), D, B))) ) ) ) ) ) ) ) ) ).
fof(t26_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k3_cqc_lang(A))) =>  ( (r4_cqc_the3(A, D, E) & r2_cqc_the3(A, k4_subset_1(k3_cqc_lang(A), D, B), C))  => r2_cqc_the3(A, k4_subset_1(k3_cqc_lang(A), E, B), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_cqc_lang(A))) =>  ( (r4_cqc_the3(A, C, D) & r2_cqc_the3(A, B, C))  => r2_cqc_the3(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d5_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r5_cqc_the3(A, B, C) <=>  (r1_cqc_the3(A, B, C) & r1_cqc_the3(A, C, B)) ) ) ) ) ) ) ) ).
fof(t28_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (r5_cqc_the3(A, B, C) & r5_cqc_the3(A, C, D))  => r5_cqc_the3(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t29_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r5_cqc_the3(A, B, C) <=> r4_cqc_the3(A, k6_domain_1(k3_cqc_lang(A), B), k6_domain_1(k3_cqc_lang(A), C))) ) ) ) ) ) ) ).
fof(t30_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_cqc_lang(A))) =>  ( (r5_cqc_the3(A, B, C) & r3_cqc_the1(A, D, B))  => r3_cqc_the1(A, D, C)) ) ) ) ) ) ) ) ) ).
fof(t31_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => r4_cqc_the3(A, k7_domain_1(k3_cqc_lang(A), B, C), k6_domain_1(k3_cqc_lang(A), k7_cqc_lang(A, B, C)))) ) ) ) ) ) ).
fof(t32_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => r5_cqc_the3(A, k7_cqc_lang(A, B, C), k7_cqc_lang(A, C, B))) ) ) ) ) ) ).
fof(t33_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_cqc_lang(A))) =>  (r3_cqc_the1(A, D, k7_cqc_lang(A, B, C)) <=>  (r3_cqc_the1(A, D, B) & r3_cqc_the1(A, D, C)) ) ) ) ) ) ) ) ) ) ).
fof(t34_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m2_subset_1(E, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (r5_cqc_the3(A, B, C) & r5_cqc_the3(A, D, E))  => r5_cqc_the3(A, k7_cqc_lang(A, B, D), k7_cqc_lang(A, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (r3_cqc_the1(A, C, k11_cqc_lang(A, D, B)) <=> r3_cqc_the1(A, C, B)) ) ) ) ) ) ) ) ) ).
fof(t36_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) => r5_cqc_the3(A, k11_cqc_lang(A, C, B), B)) ) ) ) ) ) ).
fof(t37_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [E] :  (m2_subset_1(E, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (r5_cqc_the3(A, B, C) => r5_cqc_the3(A, k11_cqc_lang(A, D, B), k11_cqc_lang(A, E, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r6_cqc_the3(A, B, C) <=>  (v6_qc_lang1(B, A) &  (? [D] :  (m1_subset_1(D, k4_ordinal1) &  (r1_xxreal_0(1, D) &  (? [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  &  (k3_finseq_1(E)=D &  (k1_funct_1(E, 1)=C &  (k1_funct_1(E, D)=B &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r1_xxreal_0(1, F) &  ( ~ (r1_xxreal_0(D, F))  &  (! [G] :  (m2_subset_1(G, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [H] :  (m2_subset_1(H, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ~ ( (H=k1_funct_1(E, F) & k1_funct_1(E, k1_nat_1(F, 1))=k11_cqc_lang(A, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r6_cqc_the3(A, B, C) => r5_cqc_the3(A, B, C)) ) ) ) ) ) ) ).
fof(t39_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (v2_cqc_the1(k8_cqc_lang(A, B, C), A) => r1_cqc_the3(A, B, C)) ) ) ) ) ) ) ).
fof(t40_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_cqc_lang(A))) =>  (r3_cqc_the1(A, D, k8_cqc_lang(A, B, C)) => r3_cqc_the1(A, k4_subset_1(k3_cqc_lang(A), D, k6_domain_1(k3_cqc_lang(A), B)), C)) ) ) ) ) ) ) ) ) ).
fof(t41_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (v6_qc_lang1(B, A) & r1_cqc_the3(A, B, C))  => v2_cqc_the1(k8_cqc_lang(A, B, C), A)) ) ) ) ) ) ) ).
fof(t42_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k3_cqc_lang(A))) =>  (r6_cqc_the3(A, D, B) =>  (r3_cqc_the1(A, k4_subset_1(k3_cqc_lang(A), E, k6_domain_1(k3_cqc_lang(A), B)), C) <=> r3_cqc_the1(A, E, k8_cqc_lang(A, D, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (v6_qc_lang1(B, A) & r1_cqc_the3(A, B, C))  => r1_cqc_the3(A, k6_cqc_lang(A, C), k6_cqc_lang(A, B))) ) ) ) ) ) ) ).
fof(t44_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_cqc_lang(A))) =>  ( (v6_qc_lang1(B, A) & r3_cqc_the1(A, k4_subset_1(k3_cqc_lang(A), D, k6_domain_1(k3_cqc_lang(A), B)), C))  => r3_cqc_the1(A, k4_subset_1(k3_cqc_lang(A), D, k6_domain_1(k3_cqc_lang(A), k6_cqc_lang(A, C))), k6_cqc_lang(A, B))) ) ) ) ) ) ) ) ) ).
fof(t45_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (v6_qc_lang1(B, A) & r1_cqc_the3(A, k6_cqc_lang(A, B), k6_cqc_lang(A, C)))  => r1_cqc_the3(A, C, B)) ) ) ) ) ) ) ).
fof(t46_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_cqc_lang(A))) =>  ( (v6_qc_lang1(B, A) & r3_cqc_the1(A, k4_subset_1(k3_cqc_lang(A), D, k6_domain_1(k3_cqc_lang(A), k6_cqc_lang(A, B))), k6_cqc_lang(A, C)))  => r3_cqc_the1(A, k4_subset_1(k3_cqc_lang(A), D, k6_domain_1(k3_cqc_lang(A), C)), B)) ) ) ) ) ) ) ) ) ).
fof(t47_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (v6_qc_lang1(B, A) & v6_qc_lang1(C, A))  =>  (r1_cqc_the3(A, B, C) <=> r1_cqc_the3(A, k6_cqc_lang(A, C), k6_cqc_lang(A, B))) ) ) ) ) ) ) ) ).
fof(t48_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m2_subset_1(E, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (r6_cqc_the3(A, D, B) & r6_cqc_the3(A, E, C))  =>  (r1_cqc_the3(A, B, C) <=> r1_cqc_the3(A, k6_cqc_lang(A, E), k6_cqc_lang(A, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m2_subset_1(E, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (r6_cqc_the3(A, D, B) & r6_cqc_the3(A, E, C))  =>  (r5_cqc_the3(A, B, C) <=> r5_cqc_the3(A, k6_cqc_lang(A, D), k6_cqc_lang(A, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r7_cqc_the3(A, B, C) <=> v2_cqc_the1(k10_cqc_lang(A, B, C), A)) ) ) ) ) ) ) ).
fof(t50_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r7_cqc_the3(A, B, C) <=>  (v2_cqc_the1(k8_cqc_lang(A, B, C), A) & v2_cqc_the1(k8_cqc_lang(A, C, B), A)) ) ) ) ) ) ) ) ).
fof(t51_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (r7_cqc_the3(A, B, C) & r7_cqc_the3(A, C, D))  => r7_cqc_the3(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t52_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r7_cqc_the3(A, B, C) => r5_cqc_the3(A, B, C)) ) ) ) ) ) ) ).
fof(t53_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r7_cqc_the3(A, B, C) <=> r7_cqc_the3(A, k6_cqc_lang(A, B), k6_cqc_lang(A, C))) ) ) ) ) ) ) ).
fof(t54_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m2_subset_1(E, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (r7_cqc_the3(A, B, C) & r7_cqc_the3(A, D, E))  => r7_cqc_the3(A, k7_cqc_lang(A, B, D), k7_cqc_lang(A, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m2_subset_1(E, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (r7_cqc_the3(A, B, C) & r7_cqc_the3(A, D, E))  => r7_cqc_the3(A, k8_cqc_lang(A, B, D), k8_cqc_lang(A, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m2_subset_1(E, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (r7_cqc_the3(A, B, C) & r7_cqc_the3(A, D, E))  => r7_cqc_the3(A, k9_cqc_lang(A, B, D), k9_cqc_lang(A, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m2_subset_1(E, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (r7_cqc_the3(A, B, C) & r7_cqc_the3(A, D, E))  => r7_cqc_the3(A, k10_cqc_lang(A, B, D), k10_cqc_lang(A, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (r7_cqc_the3(A, B, C) => r7_cqc_the3(A, k11_cqc_lang(A, D, B), k11_cqc_lang(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t59_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (r7_cqc_the3(A, B, C) => r7_cqc_the3(A, k12_cqc_lang(A, D, B), k12_cqc_lang(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t60_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_card_1(C, B) & m2_finseq_1(C, k2_qc_lang1(A)))  =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k5_qc_lang1(A)) =>  (! [E] :  (m2_subset_1(E, k2_qc_lang1(A), k3_qc_lang1(A)) => r1_tarski(k23_qc_lang1(A, C), k23_qc_lang1(A, k1_cqc_lang(A, C, k2_cqc_lang(A, D, E))))) ) ) ) ) ) ) ) ) ) ).
fof(t61_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_card_1(C, B) & m2_finseq_1(C, k2_qc_lang1(A)))  =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k5_qc_lang1(A)) =>  (! [E] :  (m2_subset_1(E, k2_qc_lang1(A), k3_qc_lang1(A)) => r1_tarski(k23_qc_lang1(A, k1_cqc_lang(A, C, k2_cqc_lang(A, D, E))), k2_xboole_0(k23_qc_lang1(A, C), k1_tarski(E)))) ) ) ) ) ) ) ) ) ) ).
fof(t62_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) => r1_tarski(k24_qc_lang1(A, C), k24_qc_lang1(A, k13_cqc_lang(A, C, B)))) ) ) ) ) ) ).
fof(t63_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) => r1_tarski(k24_qc_lang1(A, k13_cqc_lang(A, C, B)), k2_xboole_0(k24_qc_lang1(A, C), k1_tarski(B)))) ) ) ) ) ) ).
fof(t64_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [E] :  (m2_subset_1(E, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ~ ( (B=k13_cqc_lang(A, C, D) &  ( ~ (D=E)  &  ( ~ (r2_tarski(E, k24_qc_lang1(A, C)))  & r2_tarski(E, k24_qc_lang1(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_cqc_the3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m1_subset_1(D, k9_qc_lang1(A)) =>  (! [E] :  (m2_subset_1(E, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [F] :  (m2_subset_1(F, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( (B=k13_cqc_lang(A, D, E) & C=k13_cqc_lang(A, D, F))  =>  (r2_tarski(E, k24_qc_lang1(A, D)) |  (r2_tarski(F, k24_qc_lang1(A, D)) | r7_cqc_the3(A, k11_cqc_lang(A, E, B), k11_cqc_lang(A, F, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(symmetry_r4_cqc_the3, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) & m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A)))) )  =>  (r4_cqc_the3(A, B, C) => r4_cqc_the3(A, C, B)) ) ) ).
fof(reflexivity_r4_cqc_the3, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) & m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A)))) )  => r4_cqc_the3(A, B, B)) ) ).
fof(symmetry_r5_cqc_the3, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_cqc_lang(A)) & m1_subset_1(C, k3_cqc_lang(A))) )  =>  (r5_cqc_the3(A, B, C) => r5_cqc_the3(A, C, B)) ) ) ).
fof(reflexivity_r5_cqc_the3, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_cqc_lang(A)) & m1_subset_1(C, k3_cqc_lang(A))) )  => r5_cqc_the3(A, B, B)) ) ).
fof(symmetry_r7_cqc_the3, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_cqc_lang(A)) & m1_subset_1(C, k3_cqc_lang(A))) )  =>  (r7_cqc_the3(A, B, C) => r7_cqc_the3(A, C, B)) ) ) ).
fof(reflexivity_r7_cqc_the3, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_cqc_lang(A)) & m1_subset_1(C, k3_cqc_lang(A))) )  => r7_cqc_the3(A, B, B)) ) ).
fof(rd1_csspace, axiom,  (! [A] :  (m1_subset_1(A, k1_csspace) => k2_csspace(A)=A) ) ).
fof(rd2_csspace, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_csspace(A)=A) ) ).
fof(rd3_csspace, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => k2_csspace(A)=A) ) ).
fof(fc1_csspace, axiom,  ( ~ (v2_struct_0(k5_csspace))  &  (v13_algstr_0(k5_csspace) &  (v2_rlvect_1(k5_csspace) &  (v3_rlvect_1(k5_csspace) &  (v4_rlvect_1(k5_csspace) &  (v1_clvect_1(k5_csspace) &  (v2_clvect_1(k5_csspace) &  (v3_clvect_1(k5_csspace) &  (v4_clvect_1(k5_csspace) & v5_clvect_1(k5_csspace)) ) ) ) ) ) ) ) ) ).
fof(rd4_csspace, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_csspace)) => k2_csspace(A)=A) ) ).
fof(fc2_csspace, axiom,  ~ (v1_xboole_0(k9_csspace)) ).
fof(fc3_csspace, axiom, v6_clvect_1(k9_csspace, k5_csspace)).
fof(rd5_csspace, axiom,  (! [A] :  (m1_subset_1(A, k9_csspace) => k2_csspace(A)=A) ) ).
fof(rc1_csspace, axiom,  (? [A] :  (l1_csspace(A) & v1_csspace(A)) ) ).
fof(rc2_csspace, axiom,  (? [A] :  (l1_csspace(A) &  ( ~ (v2_struct_0(A))  & v1_csspace(A)) ) ) ).
fof(fc4_csspace, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k2_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, A), A)))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, A), k2_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k2_numbers)))) ) ) ) ) )  =>  ( ~ (v2_struct_0(g1_csspace(A, B, C, D, E)))  & v1_csspace(g1_csspace(A, B, C, D, E))) ) ) ).
fof(rc3_csspace, axiom,  (? [A] :  (l1_csspace(A) &  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v1_csspace(A) & v2_csspace(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc5_csspace, axiom,  ( ~ (v2_struct_0(g1_csspace(k9_csspace, k8_csspace(k5_csspace, k9_csspace), k6_csspace(k5_csspace, k9_csspace), k7_csspace(k5_csspace, k9_csspace), k15_csspace)))  & v1_csspace(g1_csspace(k9_csspace, k8_csspace(k5_csspace, k9_csspace), k6_csspace(k5_csspace, k9_csspace), k7_csspace(k5_csspace, k9_csspace), k15_csspace))) ).
fof(fc6_csspace, axiom,  ( ~ (v2_struct_0(k16_csspace))  &  (v13_algstr_0(k16_csspace) &  (v2_rlvect_1(k16_csspace) &  (v3_rlvect_1(k16_csspace) &  (v4_rlvect_1(k16_csspace) &  (v2_clvect_1(k16_csspace) &  (v3_clvect_1(k16_csspace) &  (v4_clvect_1(k16_csspace) & v5_clvect_1(k16_csspace)) ) ) ) ) ) ) ) ).
fof(d1_csspace, axiom, k1_csspace=k9_funct_2(k4_ordinal1, k2_numbers)).
fof(d2_csspace, axiom,  (! [A] :  (r2_hidden(A, k1_csspace) => k2_csspace(A)=A) ) ).
fof(d3_csspace, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_csspace(A)=A) ) ).
fof(d6_csspace, axiom, k4_csspace=k8_funcop_1(k2_numbers, k4_ordinal1, k5_complex1)).
fof(t1_csspace, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_funct_2(k4_ordinal1, k2_numbers, k2_csspace(A), A)) ) ).
fof(d7_csspace, axiom, k5_csspace=k6_cfuncdom(k4_ordinal1)).
fof(t2_csspace, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_csspace)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_csspace)) => k3_rlvect_1(k5_csspace, A, B)=k1_series_1(k2_numbers, k2_csspace(A), k2_csspace(B))) ) ) ) ).
fof(t3_csspace, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_csspace)) => k1_clvect_1(k5_csspace, B, A)=k25_valued_1(k4_ordinal1, k2_numbers, k2_csspace(B), A)) ) ) ) ).
fof(t4_csspace, axiom,  (! [A] : k1_funct_1(k2_csspace(k4_csspace), A)=k5_numbers) ).
fof(t5_csspace, axiom,  (! [A] :  (m1_subset_1(A, k1_csspace) =>  ( (! [B] :  (v7_ordinal1(B) => k8_nat_1(k2_numbers, k2_csspace(A), B)=k5_numbers) )  => A=k4_csspace) ) ) ).
fof(d8_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v6_clvect_1(B, A) => k6_csspace(A, B)=k1_realset1(u1_algstr_0(A), B)) ) ) ) ) ).
fof(d9_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v6_clvect_1(B, A) => k7_csspace(A, B)=k5_relat_1(u1_clvect_1(A), k2_zfmisc_1(k2_numbers, B))) ) ) ) ) ).
fof(d10_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v6_clvect_1(B, A) =>  (v1_xboole_0(B) | k8_csspace(A, B)=k4_struct_0(A)) ) ) ) ) ) ).
fof(t11_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v6_clvect_1(B, A) =>  (v1_xboole_0(B) | m1_clvect_1(g1_clvect_1(B, k8_csspace(A, B), k6_csspace(A, B), k7_csspace(A, B)), A)) ) ) ) ) ) ).
fof(d11_csspace, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k5_csspace))) =>  (A=k9_csspace <=>  (! [B] :  (r2_hidden(B, A) <=>  (r2_hidden(B, k1_csspace) & v1_series_1(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k55_valued_1(k4_ordinal1, k2_numbers, k2_csspace(B)), k55_valued_1(k4_ordinal1, k2_numbers, k2_csspace(B))))) ) ) ) ) ) ).
fof(t12_csspace, axiom, v6_clvect_1(k9_csspace, k5_csspace)).
fof(t13_csspace, axiom, m1_clvect_1(g1_clvect_1(k9_csspace, k8_csspace(k5_csspace, k9_csspace), k6_csspace(k5_csspace, k9_csspace), k7_csspace(k5_csspace, k9_csspace)), k5_csspace)).
fof(t14_csspace, axiom,  ( ~ (v2_struct_0(g1_clvect_1(k9_csspace, k8_csspace(k5_csspace, k9_csspace), k6_csspace(k5_csspace, k9_csspace), k7_csspace(k5_csspace, k9_csspace))))  &  (v13_algstr_0(g1_clvect_1(k9_csspace, k8_csspace(k5_csspace, k9_csspace), k6_csspace(k5_csspace, k9_csspace), k7_csspace(k5_csspace, k9_csspace))) &  (v2_rlvect_1(g1_clvect_1(k9_csspace, k8_csspace(k5_csspace, k9_csspace), k6_csspace(k5_csspace, k9_csspace), k7_csspace(k5_csspace, k9_csspace))) &  (v3_rlvect_1(g1_clvect_1(k9_csspace, k8_csspace(k5_csspace, k9_csspace), k6_csspace(k5_csspace, k9_csspace), k7_csspace(k5_csspace, k9_csspace))) &  (v4_rlvect_1(g1_clvect_1(k9_csspace, k8_csspace(k5_csspace, k9_csspace), k6_csspace(k5_csspace, k9_csspace), k7_csspace(k5_csspace, k9_csspace))) &  (v2_clvect_1(g1_clvect_1(k9_csspace, k8_csspace(k5_csspace, k9_csspace), k6_csspace(k5_csspace, k9_csspace), k7_csspace(k5_csspace, k9_csspace))) &  (v3_clvect_1(g1_clvect_1(k9_csspace, k8_csspace(k5_csspace, k9_csspace), k6_csspace(k5_csspace, k9_csspace), k7_csspace(k5_csspace, k9_csspace))) &  (v4_clvect_1(g1_clvect_1(k9_csspace, k8_csspace(k5_csspace, k9_csspace), k6_csspace(k5_csspace, k9_csspace), k7_csspace(k5_csspace, k9_csspace))) &  (v5_clvect_1(g1_clvect_1(k9_csspace, k8_csspace(k5_csspace, k9_csspace), k6_csspace(k5_csspace, k9_csspace), k7_csspace(k5_csspace, k9_csspace))) & l1_clvect_1(g1_clvect_1(k9_csspace, k8_csspace(k5_csspace, k9_csspace), k6_csspace(k5_csspace, k9_csspace), k7_csspace(k5_csspace, k9_csspace)))) ) ) ) ) ) ) ) ) ).
fof(t15_csspace, axiom,  (u1_struct_0(k5_csspace)=k1_csspace &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(k5_csspace)) <=>  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) ) )  &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(k5_csspace)) => A=k2_csspace(A)) )  &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(k5_csspace)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_csspace)) => k3_rlvect_1(k5_csspace, A, B)=k1_series_1(k2_numbers, k2_csspace(A), k2_csspace(B))) ) ) )  &  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_csspace)) => k1_clvect_1(k5_csspace, B, A)=k25_valued_1(k4_ordinal1, k2_numbers, k2_csspace(B), A)) ) ) ) ) ) ) ) ).
fof(d12_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_csspace(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k10_csspace(A, B, C)=k2_binop_1(u1_struct_0(A), u1_struct_0(A), k2_numbers, u1_csspace(A), B, C)) ) ) ) ) ) ).
fof(d13_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_csspace(A))  =>  (v2_csspace(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xcmplx_0(E) =>  ( (k10_csspace(A, B, B)=k5_numbers => B=k4_struct_0(A))  &  ( (B=k4_struct_0(A) => k10_csspace(A, B, B)=k5_numbers)  &  (r1_xxreal_0(k5_numbers, k3_complex1(k10_csspace(A, B, B))) &  (k5_numbers=k4_complex1(k10_csspace(A, B, B)) &  (k10_csspace(A, B, C)=k8_complex1(k10_csspace(A, C, B)) &  (k10_csspace(A, k1_algstr_0(A, B, C), D)=k2_xcmplx_0(k10_csspace(A, B, D), k10_csspace(A, C, D)) & k10_csspace(A, k1_clvect_1(A, B, E), C)=k3_xcmplx_0(E, k10_csspace(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  => k10_csspace(A, k4_struct_0(A), k4_struct_0(A))=k5_numbers) ) ).
fof(t17_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k10_csspace(A, B, k3_rlvect_1(A, C, D))=k2_xcmplx_0(k10_csspace(A, B, C), k10_csspace(A, B, D))) ) ) ) ) ) ) ) ).
fof(t18_csspace, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v2_csspace(B) & l1_csspace(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k10_csspace(B, C, k1_clvect_1(B, D, A))=k3_xcmplx_0(k8_complex1(A), k10_csspace(B, C, D))) ) ) ) ) ) ) ) ).
fof(t19_csspace, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v2_csspace(B) & l1_csspace(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k10_csspace(B, k1_clvect_1(B, C, A), D)=k10_csspace(B, C, k1_clvect_1(B, D, k8_complex1(A)))) ) ) ) ) ) ) ) ).
fof(t20_csspace, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v2_clvect_1(C) &  (v3_clvect_1(C) &  (v4_clvect_1(C) &  (v5_clvect_1(C) &  (v2_csspace(C) & l1_csspace(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) => k10_csspace(C, k3_rlvect_1(C, k1_clvect_1(C, D, A), k1_clvect_1(C, E, B)), F)=k2_xcmplx_0(k3_xcmplx_0(A, k10_csspace(C, D, F)), k3_xcmplx_0(B, k10_csspace(C, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_csspace, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v2_clvect_1(C) &  (v3_clvect_1(C) &  (v4_clvect_1(C) &  (v5_clvect_1(C) &  (v2_csspace(C) & l1_csspace(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) => k10_csspace(C, D, k3_rlvect_1(C, k1_clvect_1(C, E, A), k1_clvect_1(C, F, B)))=k2_xcmplx_0(k3_xcmplx_0(k8_complex1(A), k10_csspace(C, D, E)), k3_xcmplx_0(k8_complex1(B), k10_csspace(C, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k10_csspace(A, k4_algstr_0(A, B), C)=k10_csspace(A, B, k4_algstr_0(A, C))) ) ) ) ) ) ).
fof(t23_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k10_csspace(A, k4_algstr_0(A, B), C)=k4_xcmplx_0(k10_csspace(A, B, C))) ) ) ) ) ) ).
fof(t24_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k10_csspace(A, B, k4_algstr_0(A, C))=k4_xcmplx_0(k10_csspace(A, B, C))) ) ) ) ) ) ).
fof(t25_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k10_csspace(A, k4_algstr_0(A, B), k4_algstr_0(A, C))=k10_csspace(A, B, C)) ) ) ) ) ) ).
fof(t26_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k10_csspace(A, k5_algstr_0(A, B, C), D)=k6_xcmplx_0(k10_csspace(A, B, D), k10_csspace(A, C, D))) ) ) ) ) ) ) ) ).
fof(t27_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k10_csspace(A, B, k5_algstr_0(A, C, D))=k6_xcmplx_0(k10_csspace(A, B, C), k10_csspace(A, B, D))) ) ) ) ) ) ) ) ).
fof(t28_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k10_csspace(A, k5_algstr_0(A, B, C), k5_algstr_0(A, D, E))=k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k10_csspace(A, B, D), k10_csspace(A, B, E)), k10_csspace(A, C, D)), k10_csspace(A, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t29_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k10_csspace(A, k4_struct_0(A), B)=k5_numbers) ) ) ) ).
fof(t30_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k10_csspace(A, B, k4_struct_0(A))=k5_numbers) ) ) ) ).
fof(t31_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k10_csspace(A, k3_rlvect_1(A, B, C), k3_rlvect_1(A, B, C))=k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k10_csspace(A, B, B), k10_csspace(A, B, C)), k10_csspace(A, C, B)), k10_csspace(A, C, C))) ) ) ) ) ) ).
fof(t32_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k10_csspace(A, k3_rlvect_1(A, B, C), k5_algstr_0(A, B, C))=k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k10_csspace(A, B, B), k10_csspace(A, B, C)), k10_csspace(A, C, B)), k10_csspace(A, C, C))) ) ) ) ) ) ).
fof(t33_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k10_csspace(A, k5_algstr_0(A, B, C), k5_algstr_0(A, B, C))=k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k10_csspace(A, B, B), k10_csspace(A, B, C)), k10_csspace(A, C, B)), k10_csspace(A, C, C))) ) ) ) ) ) ).
fof(t34_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k9_complex1(k10_csspace(A, B, B))=k3_complex1(k10_csspace(A, B, B))) ) ) ) ).
fof(t35_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_xxreal_0(k9_complex1(k10_csspace(A, B, C)), k3_xcmplx_0(k3_square_1(k9_complex1(k10_csspace(A, B, B))), k3_square_1(k9_complex1(k10_csspace(A, C, C)))))) ) ) ) ) ) ).
fof(d14_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_csspace(A, B, C) <=> k10_csspace(A, B, C)=k5_numbers) ) ) ) ) ) ) ).
fof(t36_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_csspace(A, B, C) => r1_csspace(A, B, k4_algstr_0(A, C))) ) ) ) ) ) ) ).
fof(t37_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_csspace(A, B, C) => r1_csspace(A, k4_algstr_0(A, B), C)) ) ) ) ) ) ) ).
fof(t38_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_csspace(A, B, C) => r1_csspace(A, k4_algstr_0(A, B), k4_algstr_0(A, C))) ) ) ) ) ) ) ).
fof(t39_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_csspace(A, B, k4_struct_0(A))) ) ) ) ).
fof(t40_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_csspace(A, B, C) => k10_csspace(A, k3_rlvect_1(A, B, C), k3_rlvect_1(A, B, C))=k2_xcmplx_0(k10_csspace(A, B, B), k10_csspace(A, C, C))) ) ) ) ) ) ) ).
fof(t41_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_csspace(A, B, C) => k10_csspace(A, k5_algstr_0(A, B, C), k5_algstr_0(A, B, C))=k2_xcmplx_0(k10_csspace(A, B, B), k10_csspace(A, C, C))) ) ) ) ) ) ) ).
fof(d15_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k11_csspace(A, B)=k3_square_1(k9_complex1(k10_csspace(A, B, B)))) ) ) ) ).
fof(t42_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k11_csspace(A, B)=k5_numbers <=> B=k4_struct_0(A)) ) ) ) ) ).
fof(t43_csspace, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v2_csspace(B) & l1_csspace(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k11_csspace(B, k1_clvect_1(B, C, A))=k3_xcmplx_0(k9_complex1(A), k11_csspace(B, C))) ) ) ) ) ) ).
fof(t44_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_xxreal_0(k5_numbers, k11_csspace(A, B))) ) ) ) ).
fof(t45_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_xxreal_0(k9_complex1(k10_csspace(A, B, C)), k3_xcmplx_0(k11_csspace(A, B), k11_csspace(A, C)))) ) ) ) ) ) ).
fof(t46_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_xxreal_0(k11_csspace(A, k3_rlvect_1(A, B, C)), k2_xcmplx_0(k11_csspace(A, B), k11_csspace(A, C)))) ) ) ) ) ) ).
fof(t47_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k11_csspace(A, k4_algstr_0(A, B))=k11_csspace(A, B)) ) ) ) ).
fof(t48_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_xxreal_0(k6_xcmplx_0(k11_csspace(A, B), k11_csspace(A, C)), k11_csspace(A, k5_algstr_0(A, B, C)))) ) ) ) ) ) ).
fof(t49_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k11_csspace(A, B), k11_csspace(A, C))), k11_csspace(A, k5_algstr_0(A, B, C)))) ) ) ) ) ) ).
fof(d16_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k12_csspace(A, B, C)=k11_csspace(A, k5_algstr_0(A, B, C))) ) ) ) ) ) ).
fof(t50_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k13_csspace(A, B, B)=k5_numbers) ) ) ) ).
fof(t51_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_xxreal_0(k13_csspace(A, B, D), k2_xcmplx_0(k13_csspace(A, B, C), k13_csspace(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t52_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ ( ( ~ (B=C)  & k13_csspace(A, B, C)=k5_numbers) )  &  ~ ( ( ~ (k13_csspace(A, B, C)=k5_numbers)  & B=C) ) ) ) ) ) ) ) ) ).
fof(t53_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_xxreal_0(k5_numbers, k13_csspace(A, B, C))) ) ) ) ) ) ).
fof(t54_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ ( ( ~ (B=C)  & r1_xxreal_0(k13_csspace(A, B, C), k5_numbers)) )  &  ~ ( ( ~ (r1_xxreal_0(k13_csspace(A, B, C), k5_numbers))  & B=C) ) ) ) ) ) ) ) ) ).
fof(t55_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k13_csspace(A, B, C)=k3_square_1(k9_complex1(k10_csspace(A, k5_algstr_0(A, B, C), k5_algstr_0(A, B, C))))) ) ) ) ) ) ).
fof(t56_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => r1_xxreal_0(k13_csspace(A, k3_rlvect_1(A, B, C), k3_rlvect_1(A, D, E)), k2_xcmplx_0(k13_csspace(A, B, D), k13_csspace(A, C, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t57_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => r1_xxreal_0(k13_csspace(A, k5_algstr_0(A, B, C), k5_algstr_0(A, D, E)), k2_xcmplx_0(k13_csspace(A, B, D), k13_csspace(A, C, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t58_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k13_csspace(A, k5_algstr_0(A, B, D), k5_algstr_0(A, C, D))=k13_csspace(A, B, C)) ) ) ) ) ) ) ) ).
fof(t59_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_xxreal_0(k13_csspace(A, k5_algstr_0(A, B, D), k5_algstr_0(A, C, D)), k2_xcmplx_0(k13_csspace(A, D, B), k13_csspace(A, D, C)))) ) ) ) ) ) ) ) ).
fof(t60_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k14_csspace(A, B, k14_csspace(A, C, D)), k14_csspace(A, k14_csspace(A, B, C), D))) ) ) ) ) ) ) ) ).
fof(t61_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v3_funct_1(C) &  (v3_funct_1(D) & r2_funct_2(k4_ordinal1, u1_struct_0(A), B, k14_csspace(A, C, D))) )  => v3_funct_1(B)) ) ) ) ) ) ) ) ) ).
fof(t62_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v3_funct_1(C) &  (v3_funct_1(D) & r2_funct_2(k4_ordinal1, u1_struct_0(A), B, k2_normsp_1(A, C, D))) )  => v3_funct_1(B)) ) ) ) ) ) ) ) ) ).
fof(t63_csspace, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v2_csspace(B) & l1_csspace(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  ( (v3_funct_1(D) & r2_funct_2(k4_ordinal1, u1_struct_0(B), C, k6_clvect_1(B, D, A)))  => v3_funct_1(C)) ) ) ) ) ) ) ) ) ).
fof(t64_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k2_normsp_1(A, B, C), k14_csspace(A, B, k5_vfunct_1(k4_ordinal1, A, C)))) ) ) ) ) ) ).
fof(t65_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), B, k5_bhsp_1(A, B, k4_struct_0(A)))) ) ) ) ).
fof(t66_csspace, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v2_csspace(B) & l1_csspace(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(B), k6_clvect_1(B, k14_csspace(B, C, D), A), k14_csspace(B, k6_clvect_1(B, C, A), k6_clvect_1(B, D, A)))) ) ) ) ) ) ) ) ).
fof(t67_csspace, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v2_clvect_1(C) &  (v3_clvect_1(C) &  (v4_clvect_1(C) &  (v5_clvect_1(C) &  (v2_csspace(C) & l1_csspace(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(C))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(C), k6_clvect_1(C, D, k2_xcmplx_0(A, B)), k14_csspace(C, k6_clvect_1(C, D, A), k6_clvect_1(C, D, B)))) ) ) ) ) ) ) ) ).
fof(t68_csspace, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v2_clvect_1(C) &  (v3_clvect_1(C) &  (v4_clvect_1(C) &  (v5_clvect_1(C) &  (v2_csspace(C) & l1_csspace(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(C))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(C), k6_clvect_1(C, D, k3_xcmplx_0(A, B)), k6_clvect_1(C, k6_clvect_1(C, D, B), A))) ) ) ) ) ) ) ) ).
fof(t69_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k6_clvect_1(A, B, k6_complex1), B)) ) ) ) ).
fof(t70_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k6_clvect_1(A, B, k4_xcmplx_0(k6_complex1)), k5_vfunct_1(k4_ordinal1, A, B))) ) ) ) ).
fof(t71_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k3_normsp_1(A, C, B), k5_bhsp_1(A, C, k4_algstr_0(A, B)))) ) ) ) ) ) ).
fof(t72_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k2_normsp_1(A, B, C), k5_vfunct_1(k4_ordinal1, A, k2_normsp_1(A, C, B)))) ) ) ) ) ) ).
fof(t73_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), B, k3_normsp_1(A, B, k4_struct_0(A)))) ) ) ) ).
fof(t74_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), B, k5_vfunct_1(k4_ordinal1, A, k5_vfunct_1(k4_ordinal1, A, B)))) ) ) ) ).
fof(t75_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k2_normsp_1(A, B, k14_csspace(A, C, D)), k2_normsp_1(A, k2_normsp_1(A, B, C), D))) ) ) ) ) ) ) ) ).
fof(t76_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k2_normsp_1(A, k14_csspace(A, B, C), D), k14_csspace(A, B, k2_normsp_1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t77_csspace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k2_normsp_1(A, B, k2_normsp_1(A, C, D)), k14_csspace(A, k2_normsp_1(A, B, C), D))) ) ) ) ) ) ) ) ).
fof(t78_csspace, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v2_csspace(B) & l1_csspace(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(B), k6_clvect_1(B, k2_normsp_1(B, C, D), A), k2_normsp_1(B, k6_clvect_1(B, C, A), k6_clvect_1(B, D, A)))) ) ) ) ) ) ) ) ).
fof(d17_csspace, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k9_csspace, k9_csspace), k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_csspace, k9_csspace), k2_numbers)))) )  =>  (A=k15_csspace <=>  (! [B] :  (! [C] :  ( (r2_hidden(B, k9_csspace) & r2_hidden(C, k9_csspace))  => k1_binop_1(A, B, C)=k11_comseq_3(k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k2_csspace(B), k2_comseq_2(k4_ordinal1, k2_csspace(C))))) ) ) ) ) ) ).
fof(d18_csspace, axiom, k16_csspace=g1_csspace(k9_csspace, k8_csspace(k5_csspace, k9_csspace), k6_csspace(k5_csspace, k9_csspace), k7_csspace(k5_csspace, k9_csspace), k15_csspace)).
fof(t79_csspace, axiom,  (! [A] :  (l1_clvect_1(A) =>  ( ( ~ (v2_struct_0(g1_clvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_clvect_1(A))))  &  (v13_algstr_0(g1_clvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_clvect_1(A))) &  (v2_rlvect_1(g1_clvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_clvect_1(A))) &  (v3_rlvect_1(g1_clvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_clvect_1(A))) &  (v4_rlvect_1(g1_clvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_clvect_1(A))) &  (v2_clvect_1(g1_clvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_clvect_1(A))) &  (v3_clvect_1(g1_clvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_clvect_1(A))) &  (v4_clvect_1(g1_clvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_clvect_1(A))) &  (v5_clvect_1(g1_clvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_clvect_1(A))) & l1_clvect_1(g1_clvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_clvect_1(A)))) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t80_csspace, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (! [B] :  (v7_ordinal1(B) => k8_nat_1(k2_numbers, A, B)=k5_complex1) )  =>  (v1_comseq_3(A) & k11_comseq_3(A)=k5_complex1) ) ) ) ).
fof(t81_csspace, axiom, v2_series_1(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k55_valued_1(k4_ordinal1, k2_numbers, k2_csspace(k4_csspace)), k55_valued_1(k4_ordinal1, k2_numbers, k2_csspace(k4_csspace))))).
fof(dt_k1_csspace, axiom,  ~ (v1_xboole_0(k1_csspace)) ).
fof(dt_k2_csspace, axiom,  (! [A] :  (v1_funct_1(k2_csspace(A)) &  (v1_funct_2(k2_csspace(A), k4_ordinal1, k2_numbers) & m1_subset_1(k2_csspace(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) ) ).
fof(dt_k3_csspace, axiom,  (! [A] : v1_xcmplx_0(k3_csspace(A))) ).
fof(dt_k4_csspace, axiom, m1_subset_1(k4_csspace, k1_csspace)).
fof(dt_k5_csspace, axiom,  ( ~ (v2_struct_0(k5_csspace))  &  (v1_clvect_1(k5_csspace) & l1_clvect_1(k5_csspace)) ) ).
fof(dt_k6_csspace, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_funct_1(k6_csspace(A, B)) &  (v1_funct_2(k6_csspace(A, B), k2_zfmisc_1(B, B), B) & m1_subset_1(k6_csspace(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) ) ) ) ).
fof(dt_k7_csspace, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_funct_1(k7_csspace(A, B)) &  (v1_funct_2(k7_csspace(A, B), k2_zfmisc_1(k2_numbers, B), B) & m1_subset_1(k7_csspace(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, B), B)))) ) ) ) ).
fof(dt_k8_csspace, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k8_csspace(A, B), B)) ) ).
fof(dt_k9_csspace, axiom, m1_subset_1(k9_csspace, k1_zfmisc_1(u1_struct_0(k5_csspace)))).
fof(abstractness_v1_csspace, axiom,  (! [A] :  (l1_csspace(A) =>  (v1_csspace(A) => A=g1_csspace(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_clvect_1(A), u1_csspace(A))) ) ) ).
fof(dt_l1_csspace, axiom,  (! [A] :  (l1_csspace(A) => l1_clvect_1(A)) ) ).
fof(existence_l1_csspace, axiom,  (? [A] : l1_csspace(A)) ).
fof(dt_g1_csspace, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(B, A) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k2_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, A), A)))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, A), k2_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k2_numbers)))) ) ) ) )  =>  (v1_csspace(g1_csspace(A, B, C, D, E)) & l1_csspace(g1_csspace(A, B, C, D, E))) ) ) ).
fof(free_g1_csspace, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(B, A) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k2_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, A), A)))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, A), k2_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k2_numbers)))) ) ) ) )  =>  (! [F, G, H, I, J] :  (g1_csspace(A, B, C, D, E)=g1_csspace(F, G, H, I, J) =>  (A=F &  (B=G &  (C=H &  (D=I & E=J) ) ) ) ) ) ) ) ).
fof(dt_u1_csspace, axiom,  (! [A] :  (l1_csspace(A) =>  (v1_funct_1(u1_csspace(A)) &  (v1_funct_2(u1_csspace(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_numbers) & m1_subset_1(u1_csspace(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_numbers)))) ) ) ) ).
fof(dt_k10_csspace, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_csspace(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => v1_xcmplx_0(k10_csspace(A, B, C))) ) ).
fof(symmetry_r1_csspace, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r1_csspace(A, B, C) => r1_csspace(A, C, B)) ) ) ).
fof(dt_k11_csspace, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => v1_xreal_0(k11_csspace(A, B))) ) ).
fof(dt_k12_csspace, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => v1_xreal_0(k12_csspace(A, B, C))) ) ).
fof(dt_k13_csspace, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => v1_xreal_0(k13_csspace(A, B, C))) ) ).
fof(commutativity_k13_csspace, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k13_csspace(A, B, C)=k13_csspace(A, C, B)) ) ).
fof(redefinition_k13_csspace, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k13_csspace(A, B, C)=k12_csspace(A, B, C)) ) ).
fof(dt_k14_csspace, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (v1_funct_1(k14_csspace(A, B, C)) &  (v1_funct_2(k14_csspace(A, B, C), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k14_csspace(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(commutativity_k14_csspace, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  => k14_csspace(A, B, C)=k14_csspace(A, C, B)) ) ).
fof(redefinition_k14_csspace, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & l1_csspace(A)) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  => k14_csspace(A, B, C)=k1_normsp_1(A, B, C)) ) ).
fof(dt_k15_csspace, axiom,  (v1_funct_1(k15_csspace) &  (v1_funct_2(k15_csspace, k2_zfmisc_1(k9_csspace, k9_csspace), k2_numbers) & m1_subset_1(k15_csspace, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_csspace, k9_csspace), k2_numbers)))) ) ).
fof(dt_k16_csspace, axiom,  ( ~ (v2_struct_0(k16_csspace))  & l1_csspace(k16_csspace)) ).
fof(fc1_csspace2, axiom,  ( ~ (v2_struct_0(k16_csspace))  & v2_csspace(k16_csspace)) ).
fof(fc2_csspace2, axiom,  ( ~ (v2_struct_0(k16_csspace))  & v4_clvect_2(k16_csspace)) ).
fof(rc1_csspace2, axiom,  (? [A] :  (l1_csspace(A) &  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v2_csspace(A) & v4_clvect_2(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_csspace2, axiom,  (u1_struct_0(k16_csspace)=k9_csspace &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(k16_csspace)) <=>  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  & v1_series_1(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k55_valued_1(k4_ordinal1, k2_numbers, k2_csspace(A)), k55_valued_1(k4_ordinal1, k2_numbers, k2_csspace(A))))) ) )  &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(k16_csspace)) <=>  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  & v2_comseq_3(k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k2_csspace(A), k2_comseq_2(k4_ordinal1, k2_csspace(A))))) ) )  &  (k4_struct_0(k16_csspace)=k4_csspace &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(k16_csspace)) => A=k2_csspace(A)) )  &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(k16_csspace)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k16_csspace)) => k1_algstr_0(k16_csspace, A, B)=k1_series_1(k2_numbers, k2_csspace(A), k2_csspace(B))) ) ) )  &  ( (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k16_csspace)) => k1_clvect_1(k16_csspace, B, A)=k25_valued_1(k4_ordinal1, k2_numbers, k2_csspace(B), A)) ) ) )  &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(k16_csspace)) =>  (k4_algstr_0(k16_csspace, A)=k31_valued_1(k4_ordinal1, k2_numbers, k2_csspace(A)) & r2_funct_2(k4_ordinal1, k2_numbers, k2_csspace(k4_algstr_0(k16_csspace, A)), k31_valued_1(k4_ordinal1, k2_numbers, k2_csspace(A)))) ) )  &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(k16_csspace)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k16_csspace)) => k5_algstr_0(k16_csspace, A, B)=k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k2_csspace(A), k2_csspace(B))) ) ) )  &  (! [A] :  (m1_subset_1(A, u1_struct_0(k16_csspace)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k16_csspace)) =>  (v1_series_1(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k55_valued_1(k4_ordinal1, k2_numbers, k2_csspace(A)), k55_valued_1(k4_ordinal1, k2_numbers, k2_csspace(B)))) &  (! [C] :  (m1_subset_1(C, u1_struct_0(k16_csspace)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k16_csspace)) => k10_csspace(k16_csspace, C, D)=k11_comseq_3(k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k2_csspace(C), k2_comseq_2(k4_ordinal1, k2_csspace(D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_csspace2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k16_csspace)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k16_csspace)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k16_csspace)) =>  (! [D] :  (v1_xcmplx_0(D) =>  ( (k10_csspace(k16_csspace, A, A)=k5_numbers => A=k4_struct_0(k16_csspace))  &  ( (A=k4_struct_0(k16_csspace) => k10_csspace(k16_csspace, A, A)=k5_numbers)  &  (r1_xxreal_0(k5_numbers, k3_complex1(k10_csspace(k16_csspace, A, A))) &  (k4_complex1(k10_csspace(k16_csspace, A, A))=k5_numbers &  (k10_csspace(k16_csspace, A, B)=k8_complex1(k10_csspace(k16_csspace, B, A)) &  (k10_csspace(k16_csspace, k1_algstr_0(k16_csspace, A, B), C)=k2_xcmplx_0(k10_csspace(k16_csspace, A, C), k10_csspace(k16_csspace, B, C)) & k10_csspace(k16_csspace, k1_clvect_1(k16_csspace, A, D), B)=k3_xcmplx_0(D, k10_csspace(k16_csspace, A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_csspace2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  ( (k3_xcmplx_0(k3_complex1(A), k4_complex1(B))=k3_xcmplx_0(k3_complex1(B), k4_complex1(A)) & r1_xxreal_0(k5_numbers, k2_xcmplx_0(k3_xcmplx_0(k3_complex1(A), k3_complex1(B)), k3_xcmplx_0(k4_complex1(A), k4_complex1(B)))))  => k9_complex1(k2_xcmplx_0(A, B))=k2_xcmplx_0(k9_complex1(A), k9_complex1(B))) ) ) ) ) ).
fof(t4_csspace2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => r1_xxreal_0(k3_xcmplx_0(2, k9_complex1(k3_xcmplx_0(A, B))), k2_xcmplx_0(k1_square_1(k9_complex1(A)), k1_square_1(k9_complex1(B))))) ) ) ) ).
fof(t5_csspace2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (r1_xxreal_0(k3_xcmplx_0(k9_complex1(k2_xcmplx_0(A, B)), k9_complex1(k2_xcmplx_0(A, B))), k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, k9_complex1(A)), k9_complex1(A)), k3_xcmplx_0(k3_xcmplx_0(2, k9_complex1(B)), k9_complex1(B)))) & r1_xxreal_0(k3_xcmplx_0(k9_complex1(A), k9_complex1(A)), k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, k9_complex1(k6_xcmplx_0(A, B))), k9_complex1(k6_xcmplx_0(A, B))), k3_xcmplx_0(k3_xcmplx_0(2, k9_complex1(B)), k9_complex1(B))))) ) ) ) ) ).
fof(t7_csspace2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_funct_2(k4_ordinal1, k2_numbers, k10_comseq_3(k2_comseq_2(k4_ordinal1, A)), k2_comseq_2(k4_ordinal1, k10_comseq_3(A)))) ) ).
fof(t8_csspace2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(k5_numbers, k1_funct_1(k7_comseq_3(A), C)) & k1_funct_1(k8_comseq_3(A), C)=k5_numbers) ) )  => k1_funct_1(k55_valued_1(k4_ordinal1, k2_numbers, k10_comseq_3(A)), B)=k1_funct_1(k3_series_1(k55_valued_1(k4_ordinal1, k2_numbers, A)), B)) ) ) ) ) ).
fof(t9_csspace2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v1_comseq_3(A) => k11_comseq_3(k2_comseq_2(k4_ordinal1, A))=k8_complex1(k11_comseq_3(A))) ) ) ).
fof(t10_csspace2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v2_comseq_3(A) => r1_xxreal_0(k9_complex1(k11_comseq_3(A)), k4_series_1(k55_valued_1(k4_ordinal1, k2_numbers, A)))) ) ) ).
fof(t11_csspace2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (v1_comseq_3(A) &  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(k5_numbers, k1_funct_1(k7_comseq_3(A), B)) & k1_funct_1(k8_comseq_3(A), B)=k5_numbers) ) ) )  => k9_complex1(k11_comseq_3(A))=k4_series_1(k55_valued_1(k4_ordinal1, k2_numbers, A))) ) ) ).
fof(t12_csspace2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(k5_numbers, k1_funct_1(k7_comseq_3(k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, k2_comseq_2(k4_ordinal1, A))), B)) & k1_funct_1(k8_comseq_3(k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, k2_comseq_2(k4_ordinal1, A))), B)=k5_numbers) ) ) ) ) ).
fof(t13_csspace2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (v2_comseq_3(A) & k4_series_1(k55_valued_1(k4_ordinal1, k2_numbers, A))=k5_numbers)  =>  (! [B] :  (v7_ordinal1(B) => k1_funct_1(A, B)=k5_complex1) ) ) ) ) ).
fof(t14_csspace2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  => r2_funct_2(k4_ordinal1, k1_numbers, k55_valued_1(k4_ordinal1, k2_numbers, A), k55_valued_1(k4_ordinal1, k2_numbers, k2_comseq_2(k4_ordinal1, A)))) ) ).
fof(t15_csspace2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v2_comseq_2(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (! [D] :  (v7_ordinal1(D) => k1_funct_1(C, D)=k3_xcmplx_0(k9_complex1(k6_xcmplx_0(k1_funct_1(B, D), A)), k9_complex1(k6_xcmplx_0(k1_funct_1(B, D), A)))) )  =>  (v2_comseq_2(C) & k1_seq_2(C)=k3_xcmplx_0(k9_complex1(k6_xcmplx_0(k3_comseq_2(B), A)), k9_complex1(k6_xcmplx_0(k3_comseq_2(B), A)))) ) ) ) ) ) ) ) ) ).
fof(t16_csspace2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (v2_comseq_2(C) & v2_comseq_2(B))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (! [E] :  (v7_ordinal1(E) => k1_funct_1(D, E)=k2_xcmplx_0(k3_xcmplx_0(k9_complex1(k6_xcmplx_0(k1_funct_1(C, E), A)), k9_complex1(k6_xcmplx_0(k1_funct_1(C, E), A))), k1_funct_1(B, E))) )  =>  (v2_comseq_2(D) & k1_seq_2(D)=k2_xcmplx_0(k3_xcmplx_0(k9_complex1(k6_xcmplx_0(k3_comseq_2(C), A)), k9_complex1(k6_xcmplx_0(k3_comseq_2(C), A))), k1_seq_2(B))) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_csspace3, axiom,  ~ (v1_xboole_0(k1_csspace3)) ).
fof(fc2_csspace3, axiom, v6_clvect_1(k1_csspace3, k5_csspace)).
fof(fc3_csspace3, axiom,  (v13_algstr_0(g1_clvect_1(k1_csspace3, k8_csspace(k5_csspace, k1_csspace3), k6_csspace(k5_csspace, k1_csspace3), k7_csspace(k5_csspace, k1_csspace3))) &  (v2_rlvect_1(g1_clvect_1(k1_csspace3, k8_csspace(k5_csspace, k1_csspace3), k6_csspace(k5_csspace, k1_csspace3), k7_csspace(k5_csspace, k1_csspace3))) &  (v3_rlvect_1(g1_clvect_1(k1_csspace3, k8_csspace(k5_csspace, k1_csspace3), k6_csspace(k5_csspace, k1_csspace3), k7_csspace(k5_csspace, k1_csspace3))) &  (v4_rlvect_1(g1_clvect_1(k1_csspace3, k8_csspace(k5_csspace, k1_csspace3), k6_csspace(k5_csspace, k1_csspace3), k7_csspace(k5_csspace, k1_csspace3))) &  (v1_clvect_1(g1_clvect_1(k1_csspace3, k8_csspace(k5_csspace, k1_csspace3), k6_csspace(k5_csspace, k1_csspace3), k7_csspace(k5_csspace, k1_csspace3))) &  (v2_clvect_1(g1_clvect_1(k1_csspace3, k8_csspace(k5_csspace, k1_csspace3), k6_csspace(k5_csspace, k1_csspace3), k7_csspace(k5_csspace, k1_csspace3))) &  (v3_clvect_1(g1_clvect_1(k1_csspace3, k8_csspace(k5_csspace, k1_csspace3), k6_csspace(k5_csspace, k1_csspace3), k7_csspace(k5_csspace, k1_csspace3))) &  (v4_clvect_1(g1_clvect_1(k1_csspace3, k8_csspace(k5_csspace, k1_csspace3), k6_csspace(k5_csspace, k1_csspace3), k7_csspace(k5_csspace, k1_csspace3))) & v5_clvect_1(g1_clvect_1(k1_csspace3, k8_csspace(k5_csspace, k1_csspace3), k6_csspace(k5_csspace, k1_csspace3), k7_csspace(k5_csspace, k1_csspace3)))) ) ) ) ) ) ) ) ).
fof(fc4_csspace3, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k2_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, A), A)))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, A, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) )  =>  ( ~ (v2_struct_0(g2_clvect_1(A, B, C, D, E)))  & v7_clvect_1(g2_clvect_1(A, B, C, D, E))) ) ) ).
fof(fc5_csspace3, axiom,  ( ~ (v2_struct_0(k3_csspace3))  &  (v13_algstr_0(k3_csspace3) &  (v2_rlvect_1(k3_csspace3) &  (v3_rlvect_1(k3_csspace3) &  (v4_rlvect_1(k3_csspace3) &  (v3_normsp_0(k3_csspace3) &  (v4_normsp_0(k3_csspace3) &  (v2_clvect_1(k3_csspace3) &  (v3_clvect_1(k3_csspace3) &  (v4_clvect_1(k3_csspace3) &  (v5_clvect_1(k3_csspace3) & v8_clvect_1(k3_csspace3)) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_csspace3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k5_csspace))) =>  (A=k1_csspace3 <=>  (! [B] :  (r2_hidden(B, A) <=>  (r2_hidden(B, k1_csspace) & v2_comseq_3(k2_csspace(B))) ) ) ) ) ) ).
fof(t1_csspace3, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_comseq_2(B) &  (! [D] :  (v7_ordinal1(D) => k1_funct_1(C, D)=k9_complex1(k6_xcmplx_0(k1_funct_1(B, D), A))) ) )  =>  (v2_comseq_2(C) & k1_seq_2(C)=k9_complex1(k6_xcmplx_0(k3_comseq_2(B), A))) ) ) ) ) ) ) ) ).
fof(d2_csspace3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k1_csspace3, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_csspace3, k1_numbers)))) )  =>  (A=k2_csspace3 <=>  (! [B] :  (r2_hidden(B, k1_csspace3) => k1_funct_1(A, B)=k4_series_1(k55_valued_1(k4_ordinal1, k2_numbers, k2_csspace(B)))) ) ) ) ) ).
fof(t2_csspace3, axiom,  (! [A] :  (l2_clvect_1(A) =>  ( ( ~ (v2_struct_0(g1_clvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_clvect_1(A))))  &  (v13_algstr_0(g1_clvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_clvect_1(A))) &  (v2_rlvect_1(g1_clvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_clvect_1(A))) &  (v3_rlvect_1(g1_clvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_clvect_1(A))) &  (v4_rlvect_1(g1_clvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_clvect_1(A))) &  (v2_clvect_1(g1_clvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_clvect_1(A))) &  (v3_clvect_1(g1_clvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_clvect_1(A))) &  (v4_clvect_1(g1_clvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_clvect_1(A))) &  (v5_clvect_1(g1_clvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_clvect_1(A))) & l1_clvect_1(g1_clvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_clvect_1(A)))) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_csspace3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (! [B] :  (v7_ordinal1(B) => k1_funct_1(A, B)=k5_complex1) )  =>  (v2_comseq_3(A) & k4_series_1(k55_valued_1(k4_ordinal1, k2_numbers, A))=k5_numbers) ) ) ) ).
fof(d3_csspace3, axiom, k3_csspace3=g2_clvect_1(k1_csspace3, k8_csspace(k5_csspace, k1_csspace3), k6_csspace(k5_csspace, k1_csspace3), k7_csspace(k5_csspace, k1_csspace3), k2_csspace3)).
fof(t5_csspace3, axiom,  ( ~ (v2_struct_0(k3_csspace3))  &  (v13_algstr_0(k3_csspace3) &  (v2_rlvect_1(k3_csspace3) &  (v3_rlvect_1(k3_csspace3) &  (v4_rlvect_1(k3_csspace3) &  (v2_clvect_1(k3_csspace3) &  (v3_clvect_1(k3_csspace3) &  (v4_clvect_1(k3_csspace3) &  (v5_clvect_1(k3_csspace3) & l1_clvect_1(k3_csspace3)) ) ) ) ) ) ) ) ) ).
fof(t6_csspace3, axiom,  (u1_struct_0(k3_csspace3)=k1_csspace3 &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(k3_csspace3)) <=>  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  & v2_comseq_3(k2_csspace(A))) ) )  &  (k4_struct_0(k3_csspace3)=k4_csspace &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(k3_csspace3)) => A=k2_csspace(A)) )  &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(k3_csspace3)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_csspace3)) => k1_algstr_0(k3_csspace3, A, B)=k1_series_1(k2_numbers, k2_csspace(A), k2_csspace(B))) ) ) )  &  ( (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_csspace3)) => k1_clvect_1(k3_csspace3, B, A)=k25_valued_1(k4_ordinal1, k2_numbers, k2_csspace(B), A)) ) ) )  &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(k3_csspace3)) =>  (k4_algstr_0(k3_csspace3, A)=k31_valued_1(k4_ordinal1, k2_numbers, k2_csspace(A)) & r2_funct_2(k4_ordinal1, k2_numbers, k2_csspace(k4_algstr_0(k3_csspace3, A)), k31_valued_1(k4_ordinal1, k2_numbers, k2_csspace(A)))) ) )  &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(k3_csspace3)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_csspace3)) => k5_algstr_0(k3_csspace3, A, B)=k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k2_csspace(A), k2_csspace(B))) ) ) )  &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(k3_csspace3)) => v2_comseq_3(k2_csspace(A))) )  &  (! [A] :  (m1_subset_1(A, u1_struct_0(k3_csspace3)) => k2_normsp_0(k3_csspace3, A)=k4_series_1(k55_valued_1(k4_ordinal1, k2_numbers, k2_csspace(A)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_csspace3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k3_csspace3)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_csspace3)) =>  (! [C] :  (v1_xcmplx_0(C) =>  ( (k2_normsp_0(k3_csspace3, A)=k5_numbers => A=k4_struct_0(k3_csspace3))  &  ( (A=k4_struct_0(k3_csspace3) => k2_normsp_0(k3_csspace3, A)=k5_numbers)  &  (r1_xxreal_0(k5_numbers, k2_normsp_0(k3_csspace3, A)) &  (r1_xxreal_0(k2_normsp_0(k3_csspace3, k1_algstr_0(k3_csspace3, A, B)), k2_xcmplx_0(k2_normsp_0(k3_csspace3, A), k2_normsp_0(k3_csspace3, B))) & k2_normsp_0(k3_csspace3, k1_clvect_1(k3_csspace3, A, C))=k3_xcmplx_0(k9_complex1(C), k2_normsp_0(k3_csspace3, A))) ) ) ) ) ) ) ) ) ) ).
fof(d4_csspace3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_clvect_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_csspace3(A, B, C)=k2_normsp_0(A, k5_algstr_0(A, B, C))) ) ) ) ) ) ).
fof(d5_csspace3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_clvect_1(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_csspace3(B, A) <=>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(D, F) & r1_xxreal_0(C, k4_csspace3(A, k1_normsp_0(A, B, E), k1_normsp_0(A, B, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_csspace3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_csspace3(B, A) <=>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(D, F) & r1_xxreal_0(C, k2_normsp_0(A, k5_algstr_0(A, k1_normsp_0(A, B, E), k1_normsp_0(A, B, F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_csspace3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k3_csspace3)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k3_csspace3))))) )  =>  (v1_csspace3(A, k3_csspace3) => v9_clvect_1(A, k3_csspace3)) ) ) ).
fof(dt_k1_csspace3, axiom, m1_subset_1(k1_csspace3, k1_zfmisc_1(u1_struct_0(k5_csspace)))).
fof(dt_k2_csspace3, axiom,  (v1_funct_1(k2_csspace3) &  (v1_funct_2(k2_csspace3, k1_csspace3, k1_numbers) & m1_subset_1(k2_csspace3, k1_zfmisc_1(k2_zfmisc_1(k1_csspace3, k1_numbers)))) ) ).
fof(dt_k3_csspace3, axiom,  ( ~ (v2_struct_0(k3_csspace3))  & l2_clvect_1(k3_csspace3)) ).
fof(dt_k4_csspace3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_clvect_1(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => v1_xreal_0(k4_csspace3(A, B, C))) ) ).
fof(fc1_csspace4, axiom,  ~ (v1_xboole_0(k1_csspace4)) ).
fof(fc2_csspace4, axiom, v6_clvect_1(k1_csspace4, k5_csspace)).
fof(fc3_csspace4, axiom,  (v13_algstr_0(g1_clvect_1(k1_csspace4, k8_csspace(k5_csspace, k1_csspace4), k6_csspace(k5_csspace, k1_csspace4), k7_csspace(k5_csspace, k1_csspace4))) &  (v2_rlvect_1(g1_clvect_1(k1_csspace4, k8_csspace(k5_csspace, k1_csspace4), k6_csspace(k5_csspace, k1_csspace4), k7_csspace(k5_csspace, k1_csspace4))) &  (v3_rlvect_1(g1_clvect_1(k1_csspace4, k8_csspace(k5_csspace, k1_csspace4), k6_csspace(k5_csspace, k1_csspace4), k7_csspace(k5_csspace, k1_csspace4))) &  (v4_rlvect_1(g1_clvect_1(k1_csspace4, k8_csspace(k5_csspace, k1_csspace4), k6_csspace(k5_csspace, k1_csspace4), k7_csspace(k5_csspace, k1_csspace4))) &  (v1_clvect_1(g1_clvect_1(k1_csspace4, k8_csspace(k5_csspace, k1_csspace4), k6_csspace(k5_csspace, k1_csspace4), k7_csspace(k5_csspace, k1_csspace4))) &  (v2_clvect_1(g1_clvect_1(k1_csspace4, k8_csspace(k5_csspace, k1_csspace4), k6_csspace(k5_csspace, k1_csspace4), k7_csspace(k5_csspace, k1_csspace4))) &  (v3_clvect_1(g1_clvect_1(k1_csspace4, k8_csspace(k5_csspace, k1_csspace4), k6_csspace(k5_csspace, k1_csspace4), k7_csspace(k5_csspace, k1_csspace4))) &  (v4_clvect_1(g1_clvect_1(k1_csspace4, k8_csspace(k5_csspace, k1_csspace4), k6_csspace(k5_csspace, k1_csspace4), k7_csspace(k5_csspace, k1_csspace4))) & v5_clvect_1(g1_clvect_1(k1_csspace4, k8_csspace(k5_csspace, k1_csspace4), k6_csspace(k5_csspace, k1_csspace4), k7_csspace(k5_csspace, k1_csspace4)))) ) ) ) ) ) ) ) ).
fof(fc4_csspace4, axiom,  (v13_algstr_0(g2_clvect_1(k1_csspace4, k8_csspace(k5_csspace, k1_csspace4), k6_csspace(k5_csspace, k1_csspace4), k7_csspace(k5_csspace, k1_csspace4), k2_csspace4)) &  (v2_rlvect_1(g2_clvect_1(k1_csspace4, k8_csspace(k5_csspace, k1_csspace4), k6_csspace(k5_csspace, k1_csspace4), k7_csspace(k5_csspace, k1_csspace4), k2_csspace4)) &  (v3_rlvect_1(g2_clvect_1(k1_csspace4, k8_csspace(k5_csspace, k1_csspace4), k6_csspace(k5_csspace, k1_csspace4), k7_csspace(k5_csspace, k1_csspace4), k2_csspace4)) &  (v4_rlvect_1(g2_clvect_1(k1_csspace4, k8_csspace(k5_csspace, k1_csspace4), k6_csspace(k5_csspace, k1_csspace4), k7_csspace(k5_csspace, k1_csspace4), k2_csspace4)) &  (v2_clvect_1(g2_clvect_1(k1_csspace4, k8_csspace(k5_csspace, k1_csspace4), k6_csspace(k5_csspace, k1_csspace4), k7_csspace(k5_csspace, k1_csspace4), k2_csspace4)) &  (v3_clvect_1(g2_clvect_1(k1_csspace4, k8_csspace(k5_csspace, k1_csspace4), k6_csspace(k5_csspace, k1_csspace4), k7_csspace(k5_csspace, k1_csspace4), k2_csspace4)) &  (v4_clvect_1(g2_clvect_1(k1_csspace4, k8_csspace(k5_csspace, k1_csspace4), k6_csspace(k5_csspace, k1_csspace4), k7_csspace(k5_csspace, k1_csspace4), k2_csspace4)) &  (v5_clvect_1(g2_clvect_1(k1_csspace4, k8_csspace(k5_csspace, k1_csspace4), k6_csspace(k5_csspace, k1_csspace4), k7_csspace(k5_csspace, k1_csspace4), k2_csspace4)) & v7_clvect_1(g2_clvect_1(k1_csspace4, k8_csspace(k5_csspace, k1_csspace4), k6_csspace(k5_csspace, k1_csspace4), k7_csspace(k5_csspace, k1_csspace4), k2_csspace4))) ) ) ) ) ) ) ) ).
fof(fc5_csspace4, axiom,  ( ~ (v2_struct_0(k3_csspace4))  &  (v13_algstr_0(k3_csspace4) &  (v2_rlvect_1(k3_csspace4) &  (v3_rlvect_1(k3_csspace4) &  (v4_rlvect_1(k3_csspace4) &  (v3_normsp_0(k3_csspace4) &  (v4_normsp_0(k3_csspace4) &  (v2_clvect_1(k3_csspace4) &  (v3_clvect_1(k3_csspace4) &  (v4_clvect_1(k3_csspace4) &  (v5_clvect_1(k3_csspace4) & v8_clvect_1(k3_csspace4)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_csspace4, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B)))) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, u1_struct_0(B)) &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v1_funct_2(C, A, u1_struct_0(B)) & v1_csspace4(C, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc6_csspace4, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  ~ (v1_xboole_0(k4_csspace4(A, B))) ) ) ).
fof(fc7_csspace4, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (v13_algstr_0(g1_clvect_1(k4_csspace4(A, B), k8_csspace(k3_clopban1(A, B), k4_csspace4(A, B)), k6_csspace(k3_clopban1(A, B), k4_csspace4(A, B)), k7_csspace(k3_clopban1(A, B), k4_csspace4(A, B)))) &  (v2_rlvect_1(g1_clvect_1(k4_csspace4(A, B), k8_csspace(k3_clopban1(A, B), k4_csspace4(A, B)), k6_csspace(k3_clopban1(A, B), k4_csspace4(A, B)), k7_csspace(k3_clopban1(A, B), k4_csspace4(A, B)))) &  (v3_rlvect_1(g1_clvect_1(k4_csspace4(A, B), k8_csspace(k3_clopban1(A, B), k4_csspace4(A, B)), k6_csspace(k3_clopban1(A, B), k4_csspace4(A, B)), k7_csspace(k3_clopban1(A, B), k4_csspace4(A, B)))) &  (v4_rlvect_1(g1_clvect_1(k4_csspace4(A, B), k8_csspace(k3_clopban1(A, B), k4_csspace4(A, B)), k6_csspace(k3_clopban1(A, B), k4_csspace4(A, B)), k7_csspace(k3_clopban1(A, B), k4_csspace4(A, B)))) &  (v1_clvect_1(g1_clvect_1(k4_csspace4(A, B), k8_csspace(k3_clopban1(A, B), k4_csspace4(A, B)), k6_csspace(k3_clopban1(A, B), k4_csspace4(A, B)), k7_csspace(k3_clopban1(A, B), k4_csspace4(A, B)))) &  (v2_clvect_1(g1_clvect_1(k4_csspace4(A, B), k8_csspace(k3_clopban1(A, B), k4_csspace4(A, B)), k6_csspace(k3_clopban1(A, B), k4_csspace4(A, B)), k7_csspace(k3_clopban1(A, B), k4_csspace4(A, B)))) &  (v3_clvect_1(g1_clvect_1(k4_csspace4(A, B), k8_csspace(k3_clopban1(A, B), k4_csspace4(A, B)), k6_csspace(k3_clopban1(A, B), k4_csspace4(A, B)), k7_csspace(k3_clopban1(A, B), k4_csspace4(A, B)))) &  (v4_clvect_1(g1_clvect_1(k4_csspace4(A, B), k8_csspace(k3_clopban1(A, B), k4_csspace4(A, B)), k6_csspace(k3_clopban1(A, B), k4_csspace4(A, B)), k7_csspace(k3_clopban1(A, B), k4_csspace4(A, B)))) & v5_clvect_1(g1_clvect_1(k4_csspace4(A, B), k8_csspace(k3_clopban1(A, B), k4_csspace4(A, B)), k6_csspace(k3_clopban1(A, B), k4_csspace4(A, B)), k7_csspace(k3_clopban1(A, B), k4_csspace4(A, B))))) ) ) ) ) ) ) ) ) ) ).
fof(fc8_csspace4, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k5_csspace4(A, B)))  &  (v13_algstr_0(k5_csspace4(A, B)) &  (v2_rlvect_1(k5_csspace4(A, B)) &  (v3_rlvect_1(k5_csspace4(A, B)) &  (v4_rlvect_1(k5_csspace4(A, B)) &  (v1_clvect_1(k5_csspace4(A, B)) &  (v2_clvect_1(k5_csspace4(A, B)) &  (v3_clvect_1(k5_csspace4(A, B)) &  (v4_clvect_1(k5_csspace4(A, B)) & v5_clvect_1(k5_csspace4(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(fc9_csspace4, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k9_csspace4(A, B)))  &  (v13_algstr_0(k9_csspace4(A, B)) &  (v2_rlvect_1(k9_csspace4(A, B)) &  (v3_rlvect_1(k9_csspace4(A, B)) &  (v4_rlvect_1(k9_csspace4(A, B)) &  (v3_normsp_0(k9_csspace4(A, B)) &  (v4_normsp_0(k9_csspace4(A, B)) &  (v2_clvect_1(k9_csspace4(A, B)) &  (v3_clvect_1(k9_csspace4(A, B)) &  (v4_clvect_1(k9_csspace4(A, B)) &  (v5_clvect_1(k9_csspace4(A, B)) & v8_clvect_1(k9_csspace4(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc10_csspace4, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) &  (v3_clopban1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k9_csspace4(A, B)))  & v3_clopban1(k9_csspace4(A, B))) ) ) ).
fof(d1_csspace4, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k5_csspace))) =>  (A=k1_csspace4 <=>  (! [B] :  (r2_hidden(B, A) <=>  (r2_hidden(B, k1_csspace) & v1_comseq_2(k2_csspace(B))) ) ) ) ) ) ).
fof(d2_csspace4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k1_csspace4, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_csspace4, k1_numbers)))) )  =>  (A=k2_csspace4 <=>  (! [B] :  (r2_hidden(B, k1_csspace4) => k1_funct_1(A, B)=k2_seq_4(k2_relset_1(k1_numbers, k55_valued_1(k4_ordinal1, k2_numbers, k2_csspace(B))))) ) ) ) ) ).
fof(t1_csspace4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (v1_comseq_2(A) & k2_seq_4(k2_relset_1(k1_numbers, k55_valued_1(k4_ordinal1, k2_numbers, A)))=k5_numbers)  <=>  (! [B] :  (v7_ordinal1(B) => k1_funct_1(A, B)=k5_complex1) ) ) ) ) ).
fof(d3_csspace4, axiom, k3_csspace4=g2_clvect_1(k1_csspace4, k8_csspace(k5_csspace, k1_csspace4), k6_csspace(k5_csspace, k1_csspace4), k7_csspace(k5_csspace, k1_csspace4), k2_csspace4)).
fof(t2_csspace4, axiom,  (u1_struct_0(k3_csspace4)=k1_csspace4 &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(k3_csspace4)) <=>  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  & v1_comseq_2(k2_csspace(A))) ) )  &  (k4_struct_0(k3_csspace4)=k4_csspace &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(k3_csspace4)) => A=k2_csspace(A)) )  &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(k3_csspace4)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_csspace4)) => k1_algstr_0(k3_csspace4, A, B)=k2_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k2_csspace(A), k2_csspace(B))) ) ) )  &  ( (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_csspace4)) => k1_clvect_1(k3_csspace4, B, A)=k25_valued_1(k4_ordinal1, k2_numbers, k2_csspace(B), A)) ) ) )  &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(k3_csspace4)) =>  (k4_algstr_0(k3_csspace4, A)=k31_valued_1(k4_ordinal1, k2_numbers, k2_csspace(A)) & r2_funct_2(k4_ordinal1, k2_numbers, k2_csspace(k4_algstr_0(k3_csspace4, A)), k31_valued_1(k4_ordinal1, k2_numbers, k2_csspace(A)))) ) )  &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(k3_csspace4)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_csspace4)) => k5_algstr_0(k3_csspace4, A, B)=k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, k2_csspace(A), k2_csspace(B))) ) ) )  &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(k3_csspace4)) => v1_comseq_2(k2_csspace(A))) )  &  (! [A] :  (m1_subset_1(A, u1_struct_0(k3_csspace4)) => k2_normsp_0(k3_csspace4, A)=k2_seq_4(k2_relset_1(k1_numbers, k55_valued_1(k4_ordinal1, k2_numbers, k2_csspace(A))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_csspace4, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k3_csspace4)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_csspace4)) =>  (! [C] :  (v1_xcmplx_0(C) =>  ( (k2_normsp_0(k3_csspace4, A)=k5_numbers => A=k4_struct_0(k3_csspace4))  &  ( (A=k4_struct_0(k3_csspace4) => k2_normsp_0(k3_csspace4, A)=k5_numbers)  &  (r1_xxreal_0(k5_numbers, k2_normsp_0(k3_csspace4, A)) &  (r1_xxreal_0(k2_normsp_0(k3_csspace4, k1_algstr_0(k3_csspace4, A, B)), k2_xcmplx_0(k2_normsp_0(k3_csspace4, A), k2_normsp_0(k3_csspace4, B))) & k2_normsp_0(k3_csspace4, k1_clvect_1(k3_csspace4, A, C))=k3_xcmplx_0(k9_complex1(C), k2_normsp_0(k3_csspace4, A))) ) ) ) ) ) ) ) ) ) ).
fof(t4_csspace4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k3_csspace4)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k3_csspace4))))) )  =>  (v1_csspace3(A, k3_csspace4) => v9_clvect_1(A, k3_csspace4)) ) ) ).
fof(t5_csspace4, axiom,  ( ~ (v2_struct_0(k3_csspace4))  &  (v13_algstr_0(k3_csspace4) &  (v2_rlvect_1(k3_csspace4) &  (v3_rlvect_1(k3_csspace4) &  (v4_rlvect_1(k3_csspace4) &  (v3_normsp_0(k3_csspace4) &  (v4_normsp_0(k3_csspace4) &  (v2_clvect_1(k3_csspace4) &  (v3_clvect_1(k3_csspace4) &  (v4_clvect_1(k3_csspace4) &  (v5_clvect_1(k3_csspace4) &  (v8_clvect_1(k3_csspace4) &  (v3_clopban1(k3_csspace4) & l2_clvect_1(k3_csspace4)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_csspace4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  =>  (v1_csspace4(C, A, B) <=>  (? [D] :  (v1_xreal_0(D) &  (r1_xxreal_0(k5_numbers, D) &  (! [E] :  (m1_subset_1(E, A) => r1_xxreal_0(k2_normsp_0(B, k3_funct_2(A, u1_struct_0(B), C, E)), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_csspace4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  =>  ( (! [D] :  (m1_subset_1(D, A) => k3_funct_2(A, u1_struct_0(B), C, D)=k4_struct_0(B)) )  => v1_csspace4(C, A, B)) ) ) ) ) ) ) ).
fof(d5_csspace4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_clopban1(A, B)))) =>  (C=k4_csspace4(A, B) <=>  (! [D] :  (r2_tarski(D, C) <=>  (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(B)) &  (v1_csspace4(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_csspace4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  => v6_clvect_1(k4_csspace4(A, B), k3_clopban1(A, B))) ) ) ) ).
fof(t8_csspace4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  => m1_clvect_1(g1_clvect_1(k4_csspace4(A, B), k8_csspace(k3_clopban1(A, B), k4_csspace4(A, B)), k6_csspace(k3_clopban1(A, B), k4_csspace4(A, B)), k7_csspace(k3_clopban1(A, B), k4_csspace4(A, B))), k3_clopban1(A, B))) ) ) ) ).
fof(d6_csspace4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  => k5_csspace4(A, B)=g1_clvect_1(k4_csspace4(A, B), k8_csspace(k3_clopban1(A, B), k4_csspace4(A, B)), k6_csspace(k3_clopban1(A, B), k4_csspace4(A, B)), k7_csspace(k3_clopban1(A, B), k4_csspace4(A, B)))) ) ) ) ).
fof(t9_csspace4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_csspace4(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_csspace4(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_csspace4(A, B))) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, u1_struct_0(B)) &  (v1_csspace4(F, A, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, u1_struct_0(B)) &  (v1_csspace4(G, A, B) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, A, u1_struct_0(B)) &  (v1_csspace4(H, A, B) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  ( (F=C &  (G=D & H=E) )  =>  (E=k3_rlvect_1(k5_csspace4(A, B), C, D) <=>  (! [I] :  (m1_subset_1(I, A) => k3_funct_2(A, u1_struct_0(B), H, I)=k3_rlvect_1(B, k3_funct_2(A, u1_struct_0(B), F, I), k3_funct_2(A, u1_struct_0(B), G, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_csspace4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_csspace4(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_csspace4(A, B))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(B)) &  (v1_csspace4(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, u1_struct_0(B)) &  (v1_csspace4(F, A, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  ( (E=C & F=D)  =>  (! [G] :  (v1_xcmplx_0(G) =>  (D=k1_clvect_1(k5_csspace4(A, B), C, G) <=>  (! [H] :  (m1_subset_1(H, A) => k3_funct_2(A, u1_struct_0(B), F, H)=k1_clvect_1(B, k3_funct_2(A, u1_struct_0(B), E, H), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_csspace4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  => k4_struct_0(k5_csspace4(A, B))=k8_funcop_1(u1_struct_0(B), A, k4_struct_0(B))) ) ) ) ).
fof(d7_csspace4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (r2_hidden(C, k4_csspace4(A, B)) => k6_csspace4(A, B, C)=C) ) ) ) ) ) ).
fof(t12_csspace4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) &  (v1_csspace4(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  => v4_xxreal_2(k7_csspace4(A, B, C))) ) ) ) ) ) ).
fof(t13_csspace4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  =>  (v1_csspace4(C, A, B) <=> v4_xxreal_2(k7_csspace4(A, B, C))) ) ) ) ) ) ) ).
fof(d9_csspace4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_csspace4(A, B), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_csspace4(A, B), k1_numbers)))) )  =>  (C=k8_csspace4(A, B) <=>  (! [D] :  (r2_hidden(D, k4_csspace4(A, B)) => k1_funct_1(C, D)=k2_seq_4(k7_csspace4(A, B, k6_csspace4(A, B, D)))) ) ) ) ) ) ) ) ) ).
fof(t14_csspace4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) &  (v1_csspace4(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  => r2_funct_2(A, u1_struct_0(B), k6_csspace4(A, B, C), C)) ) ) ) ) ) ).
fof(t15_csspace4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) &  (v1_csspace4(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  => k1_funct_1(k8_csspace4(A, B), C)=k2_seq_4(k7_csspace4(A, B, C))) ) ) ) ) ) ).
fof(d10_csspace4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  => k9_csspace4(A, B)=g2_clvect_1(k4_csspace4(A, B), k8_csspace(k3_clopban1(A, B), k4_csspace4(A, B)), k6_csspace(k3_clopban1(A, B), k4_csspace4(A, B)), k7_csspace(k3_clopban1(A, B), k4_csspace4(A, B)), k8_csspace4(A, B))) ) ) ) ).
fof(t16_csspace4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  => k8_funcop_1(u1_struct_0(B), A, k4_struct_0(B))=k4_struct_0(k9_csspace4(A, B))) ) ) ) ).
fof(t17_csspace4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_csspace4(A, B))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(B)) &  (v1_csspace4(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  (D=C =>  (! [E] :  (m1_subset_1(E, A) => r1_xxreal_0(k2_normsp_0(B, k3_funct_2(A, u1_struct_0(B), D, E)), k2_normsp_0(k9_csspace4(A, B), C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_csspace4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_csspace4(A, B))) => r1_xxreal_0(k5_numbers, k2_normsp_0(k9_csspace4(A, B), C))) ) ) ) ) ) ).
fof(t19_csspace4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_csspace4(A, B))) =>  (C=k4_struct_0(k9_csspace4(A, B)) => k5_numbers=k2_normsp_0(k9_csspace4(A, B), C)) ) ) ) ) ) ) ).
fof(t20_csspace4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_csspace4(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_csspace4(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_csspace4(A, B))) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, u1_struct_0(B)) &  (v1_csspace4(F, A, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, u1_struct_0(B)) &  (v1_csspace4(G, A, B) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, A, u1_struct_0(B)) &  (v1_csspace4(H, A, B) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  ( (F=C &  (G=D & H=E) )  =>  (E=k1_algstr_0(k9_csspace4(A, B), C, D) <=>  (! [I] :  (m1_subset_1(I, A) => k3_funct_2(A, u1_struct_0(B), H, I)=k3_rlvect_1(B, k3_funct_2(A, u1_struct_0(B), F, I), k3_funct_2(A, u1_struct_0(B), G, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_csspace4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_csspace4(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_csspace4(A, B))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(B)) &  (v1_csspace4(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, u1_struct_0(B)) &  (v1_csspace4(F, A, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  ( (E=C & F=D)  =>  (! [G] :  (v1_xcmplx_0(G) =>  (D=k1_clvect_1(k9_csspace4(A, B), C, G) <=>  (! [H] :  (m1_subset_1(H, A) => k3_funct_2(A, u1_struct_0(B), F, H)=k1_clvect_1(B, k3_funct_2(A, u1_struct_0(B), E, H), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_csspace4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_csspace4(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_csspace4(A, B))) =>  (! [E] :  (v1_xcmplx_0(E) =>  ( (k2_normsp_0(k9_csspace4(A, B), C)=k5_numbers => C=k4_struct_0(k9_csspace4(A, B)))  &  ( (C=k4_struct_0(k9_csspace4(A, B)) => k2_normsp_0(k9_csspace4(A, B), C)=k5_numbers)  &  (k2_normsp_0(k9_csspace4(A, B), k1_clvect_1(k9_csspace4(A, B), C, E))=k3_xcmplx_0(k9_complex1(E), k2_normsp_0(k9_csspace4(A, B), C)) & r1_xxreal_0(k2_normsp_0(k9_csspace4(A, B), k1_algstr_0(k9_csspace4(A, B), C, D)), k2_xcmplx_0(k2_normsp_0(k9_csspace4(A, B), C), k2_normsp_0(k9_csspace4(A, B), D)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_csspace4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (v4_normsp_0(k9_csspace4(A, B)) &  (v3_normsp_0(k9_csspace4(A, B)) & v8_clvect_1(k9_csspace4(A, B))) ) ) ) ) ) ).
fof(t24_csspace4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k9_csspace4(A, B)))  &  (v13_algstr_0(k9_csspace4(A, B)) &  (v2_rlvect_1(k9_csspace4(A, B)) &  (v3_rlvect_1(k9_csspace4(A, B)) &  (v4_rlvect_1(k9_csspace4(A, B)) &  (v3_normsp_0(k9_csspace4(A, B)) &  (v4_normsp_0(k9_csspace4(A, B)) &  (v2_clvect_1(k9_csspace4(A, B)) &  (v3_clvect_1(k9_csspace4(A, B)) &  (v4_clvect_1(k9_csspace4(A, B)) &  (v5_clvect_1(k9_csspace4(A, B)) &  (v8_clvect_1(k9_csspace4(A, B)) & l2_clvect_1(k9_csspace4(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_csspace4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_csspace4(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_csspace4(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_csspace4(A, B))) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, u1_struct_0(B)) &  (v1_csspace4(F, A, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, u1_struct_0(B)) &  (v1_csspace4(G, A, B) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, A, u1_struct_0(B)) &  (v1_csspace4(H, A, B) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  ( (F=C &  (G=D & H=E) )  =>  (E=k5_algstr_0(k9_csspace4(A, B), C, D) <=>  (! [I] :  (m1_subset_1(I, A) => k3_funct_2(A, u1_struct_0(B), H, I)=k5_algstr_0(B, k3_funct_2(A, u1_struct_0(B), F, I), k3_funct_2(A, u1_struct_0(B), G, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_csspace4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (v3_clopban1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(k9_csspace4(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k9_csspace4(A, B)))))) )  =>  (v1_csspace3(C, k9_csspace4(A, B)) => v9_clvect_1(C, k9_csspace4(A, B))) ) ) ) ) ) ) ) ).
fof(t27_csspace4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) &  (v3_clopban1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k9_csspace4(A, B)))  &  (v13_algstr_0(k9_csspace4(A, B)) &  (v2_rlvect_1(k9_csspace4(A, B)) &  (v3_rlvect_1(k9_csspace4(A, B)) &  (v4_rlvect_1(k9_csspace4(A, B)) &  (v3_normsp_0(k9_csspace4(A, B)) &  (v4_normsp_0(k9_csspace4(A, B)) &  (v2_clvect_1(k9_csspace4(A, B)) &  (v3_clvect_1(k9_csspace4(A, B)) &  (v4_clvect_1(k9_csspace4(A, B)) &  (v5_clvect_1(k9_csspace4(A, B)) &  (v8_clvect_1(k9_csspace4(A, B)) &  (v3_clopban1(k9_csspace4(A, B)) & l2_clvect_1(k9_csspace4(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_csspace4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ( (v1_comseq_2(A) & v1_comseq_2(B))  => v1_comseq_2(k2_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B))) ) ) ) ) ).
fof(t29_csspace4, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v1_comseq_2(B) => v1_comseq_2(k25_valued_1(k4_ordinal1, k2_numbers, B, A))) ) ) ) ) ).
fof(t30_csspace4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (v1_comseq_2(A) <=> v1_comseq_2(k55_valued_1(k4_ordinal1, k2_numbers, A))) ) ) ).
fof(t31_csspace4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (r2_funct_2(k4_ordinal1, k2_numbers, A, k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, B, C)) <=>  (! [D] :  (v7_ordinal1(D) => k1_funct_1(A, D)=k6_xcmplx_0(k1_funct_1(B, D), k1_funct_1(C, D))) ) ) ) ) ) ) ) ) ).
fof(dt_k1_csspace4, axiom, m1_subset_1(k1_csspace4, k1_zfmisc_1(u1_struct_0(k5_csspace)))).
fof(dt_k2_csspace4, axiom,  (v1_funct_1(k2_csspace4) &  (v1_funct_2(k2_csspace4, k1_csspace4, k1_numbers) & m1_subset_1(k2_csspace4, k1_zfmisc_1(k2_zfmisc_1(k1_csspace4, k1_numbers)))) ) ).
fof(dt_k3_csspace4, axiom,  ( ~ (v2_struct_0(k3_csspace4))  & l2_clvect_1(k3_csspace4)) ).
fof(dt_k4_csspace4, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  => m1_subset_1(k4_csspace4(A, B), k1_zfmisc_1(u1_struct_0(k3_clopban1(A, B))))) ) ).
fof(dt_k5_csspace4, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k5_csspace4(A, B)))  &  (v13_algstr_0(k5_csspace4(A, B)) &  (v2_rlvect_1(k5_csspace4(A, B)) &  (v3_rlvect_1(k5_csspace4(A, B)) &  (v4_rlvect_1(k5_csspace4(A, B)) &  (v2_clvect_1(k5_csspace4(A, B)) &  (v3_clvect_1(k5_csspace4(A, B)) &  (v4_clvect_1(k5_csspace4(A, B)) &  (v5_clvect_1(k5_csspace4(A, B)) & l1_clvect_1(k5_csspace4(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k6_csspace4, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k6_csspace4(A, B, C)) &  (v1_funct_2(k6_csspace4(A, B, C), A, u1_struct_0(B)) &  (v1_csspace4(k6_csspace4(A, B, C), A, B) & m1_subset_1(k6_csspace4(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) ) ) ) ).
fof(dt_k7_csspace4, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) ) )  =>  ( ~ (v1_xboole_0(k7_csspace4(A, B, C)))  & m1_subset_1(k7_csspace4(A, B, C), k1_zfmisc_1(k1_numbers))) ) ) ).
fof(dt_k8_csspace4, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k8_csspace4(A, B)) &  (v1_funct_2(k8_csspace4(A, B), k4_csspace4(A, B), k1_numbers) & m1_subset_1(k8_csspace4(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_csspace4(A, B), k1_numbers)))) ) ) ) ).
fof(dt_k9_csspace4, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k9_csspace4(A, B)))  & l2_clvect_1(k9_csspace4(A, B))) ) ) ).
fof(d8_csspace4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  => k7_csspace4(A, B, C)=a_3_0_csspace4(A, B, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_csspace4, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_clvect_1(C) &  (v3_clvect_1(C) &  (v4_clvect_1(C) &  (v5_clvect_1(C) &  (v8_clvect_1(C) & l2_clvect_1(C)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, B, u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(C))))) ) ) )  =>  (r2_hidden(A, a_3_0_csspace4(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, B) & A=k2_normsp_0(C, k3_funct_2(B, u1_struct_0(C), D, E))) ) ) ) ) ).
fof(cc1_dblseq_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers))) =>  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) &  (v1_dblseq_1(A) & v6_dblseq_1(A)) ) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) &  (v1_seq_2(A) & v2_seq_2(A)) ) ) ) ) ) ).
fof(cc2_dblseq_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers))) =>  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) &  (v1_dblseq_1(A) & v7_dblseq_1(A)) ) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) &  (v1_seq_2(A) & v2_seq_2(A)) ) ) ) ) ) ).
fof(fc1_dblseq_1, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (v1_funct_1(k2_funcop_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A)) &  (v1_funct_2(k2_funcop_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A), k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) &  (v1_dblseq_1(k2_funcop_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A)) &  (v2_dblseq_1(k2_funcop_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A)) & v3_dblseq_1(k2_funcop_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A))) ) ) ) ) ) ).
fof(rc1_dblseq_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers))) &  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1)) &  (v5_relat_1(A, k1_numbers) &  (v1_funct_1(A) &  (v1_partfun1(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1)) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) &  (v1_dblseq_1(A) &  (v2_dblseq_1(A) & v3_dblseq_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc2_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) &  (v1_dblseq_1(A) &  (v3_dblseq_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) ) ) )  =>  (v1_funct_1(k3_dblseq_1(A)) &  (v1_funct_2(k3_dblseq_1(A), k4_ordinal1, k1_numbers) & v2_comseq_2(k3_dblseq_1(A))) ) ) ) ).
fof(fc3_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) &  (v1_dblseq_1(A) &  (v2_dblseq_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) ) ) )  =>  (v1_funct_1(k2_dblseq_1(A)) &  (v1_funct_2(k2_dblseq_1(A), k4_ordinal1, k1_numbers) & v2_comseq_2(k2_dblseq_1(A))) ) ) ) ).
fof(cc3_dblseq_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers))) =>  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) &  (v1_seq_2(A) & v6_dblseq_1(A)) ) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) &  (v1_dblseq_1(A) &  (v2_dblseq_1(A) & v3_dblseq_1(A)) ) ) ) ) ) ) ).
fof(cc4_dblseq_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers))) =>  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) &  (v2_seq_2(A) & v7_dblseq_1(A)) ) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) &  (v1_dblseq_1(A) &  (v2_dblseq_1(A) & v3_dblseq_1(A)) ) ) ) ) ) ) ).
fof(cc5_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) &  (v1_dblseq_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) ) )  =>  (! [B] :  (m1_dblseq_1(B, k1_numbers, A) => v1_dblseq_1(B)) ) ) ) ).
fof(cc6_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) &  (v2_dblseq_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) ) )  =>  (! [B] :  (m1_dblseq_1(B, k1_numbers, A) => v2_dblseq_1(B)) ) ) ) ).
fof(cc7_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) &  (v3_dblseq_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) ) )  =>  (! [B] :  (m1_dblseq_1(B, k1_numbers, A) => v3_dblseq_1(B)) ) ) ) ).
fof(d1_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v1_dblseq_1(A) <=>  (? [B] :  (v1_xreal_0(B) &  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(D, F) & r1_xxreal_0(C, k9_complex1(k6_xcmplx_0(k1_binop_1(A, E, F), B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v1_dblseq_1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (B=k1_dblseq_1(A) <=>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(D, F) & r1_xxreal_0(C, k9_complex1(k6_xcmplx_0(k1_binop_1(A, E, F), B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v2_dblseq_1(A) <=>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => v2_comseq_2(k6_mesfunc9(k4_ordinal1, k4_ordinal1, k1_numbers, A, B))) ) ) ) ) ).
fof(d4_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v3_dblseq_1(A) <=>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => v2_comseq_2(k5_mesfunc9(k4_ordinal1, k4_ordinal1, k1_numbers, A, B))) ) ) ) ) ).
fof(d5_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (B=k2_dblseq_1(A) <=>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => k8_nat_1(k1_numbers, B, C)=k1_seq_2(k6_mesfunc9(k4_ordinal1, k4_ordinal1, k1_numbers, A, C))) ) ) ) ) ) ) ).
fof(d6_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (B=k3_dblseq_1(A) <=>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => k8_nat_1(k1_numbers, B, C)=k1_seq_2(k5_mesfunc9(k4_ordinal1, k4_ordinal1, k1_numbers, A, C))) ) ) ) ) ) ) ).
fof(d7_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v2_comseq_2(k2_dblseq_1(A)) =>  (! [B] :  (v1_xreal_0(B) =>  (B=k4_dblseq_1(A) <=>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  (r1_xxreal_0(D, E) & r1_xxreal_0(C, k9_complex1(k6_xcmplx_0(k8_nat_1(k1_numbers, k2_dblseq_1(A), E), B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v2_comseq_2(k3_dblseq_1(A)) =>  (! [B] :  (v1_xreal_0(B) =>  (B=k5_dblseq_1(A) <=>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  (r1_xxreal_0(D, E) & r1_xxreal_0(C, k9_complex1(k6_xcmplx_0(k8_nat_1(k1_numbers, k3_dblseq_1(A), E), B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v4_dblseq_1(A) <=>  (v2_dblseq_1(A) &  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  (! [C] :  (v7_ordinal1(C) =>  (? [D] :  (v7_ordinal1(D) &  (r1_xxreal_0(C, D) &  (? [E] :  (v7_ordinal1(E) & r1_xxreal_0(B, k9_complex1(k6_xcmplx_0(k1_binop_1(A, E, D), k8_nat_1(k1_numbers, k2_dblseq_1(A), E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v5_dblseq_1(A) <=>  (v3_dblseq_1(A) &  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  (! [C] :  (v7_ordinal1(C) =>  (? [D] :  (v7_ordinal1(D) &  (r1_xxreal_0(C, D) &  (? [E] :  (v7_ordinal1(E) & r1_xxreal_0(B, k9_complex1(k6_xcmplx_0(k1_binop_1(A, D, E), k8_nat_1(k1_numbers, k3_dblseq_1(A), E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v6_dblseq_1(A) <=>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(D, B) & r1_xxreal_0(E, C))  => r1_xxreal_0(k1_binop_1(A, D, E), k1_binop_1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v7_dblseq_1(A) <=>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(D, B) & r1_xxreal_0(E, C))  => r1_xxreal_0(k1_binop_1(A, B, C), k1_binop_1(A, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_dblseq_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( (r1_xxreal_0(A, B) &  (r1_xxreal_0(B, C) &  ( ~ (r1_xxreal_0(k9_complex1(B), k9_complex1(A)))  &  ~ (r1_xxreal_0(k9_complex1(B), k9_complex1(C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_dblseq_1, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) => k1_dblseq_1(k8_funcop_1(k1_numbers, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A))=A) ) ).
fof(t3_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  ( (v1_dblseq_1(A) & v3_dblseq_1(A))  => k1_dblseq_1(A)=k5_dblseq_1(A)) ) ) ).
fof(t4_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  ( (v1_dblseq_1(A) & v2_dblseq_1(A))  => k1_dblseq_1(A)=k4_dblseq_1(A)) ) ) ).
fof(t5_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  ( (v4_dblseq_1(A) & v2_comseq_2(k2_dblseq_1(A)))  =>  (v1_dblseq_1(A) & k1_dblseq_1(A)=k4_dblseq_1(A)) ) ) ) ).
fof(t6_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  ( (v5_dblseq_1(A) & v2_comseq_2(k3_dblseq_1(A)))  =>  (v1_dblseq_1(A) & k1_dblseq_1(A)=k5_dblseq_1(A)) ) ) ) ).
fof(d13_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v8_dblseq_1(A) <=>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  (! [C] :  (v7_ordinal1(C) =>  (? [D] :  (v7_ordinal1(D) &  (? [E] :  (v7_ordinal1(E) &  (? [F] :  (v7_ordinal1(F) &  (? [G] :  (v7_ordinal1(G) &  (r1_xxreal_0(C, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(C, F) &  (r1_xxreal_0(F, G) & r1_xxreal_0(B, k9_complex1(k6_xcmplx_0(k1_binop_1(A, E, G), k1_binop_1(A, D, F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v1_dblseq_1(A) <=> v8_dblseq_1(A)) ) ) ).
fof(t8_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  ( (v6_dblseq_1(A) | v7_dblseq_1(A))  =>  (v1_dblseq_1(A) <=>  (v2_seq_2(A) & v1_seq_2(A)) ) ) ) ) ).
fof(t9_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_comseq_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_comseq_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (v2_dblseq_1(k6_dblseq_1(k4_ordinal1, k1_numbers, k11_binop_2, A, B)) &  (v3_dblseq_1(k6_dblseq_1(k4_ordinal1, k1_numbers, k11_binop_2, A, B)) &  (v2_comseq_2(k2_dblseq_1(k6_dblseq_1(k4_ordinal1, k1_numbers, k11_binop_2, A, B))) &  (k4_dblseq_1(k6_dblseq_1(k4_ordinal1, k1_numbers, k11_binop_2, A, B))=k3_xcmplx_0(k1_seq_2(A), k1_seq_2(B)) &  (v2_comseq_2(k3_dblseq_1(k6_dblseq_1(k4_ordinal1, k1_numbers, k11_binop_2, A, B))) &  (k5_dblseq_1(k6_dblseq_1(k4_ordinal1, k1_numbers, k11_binop_2, A, B))=k3_xcmplx_0(k1_seq_2(A), k1_seq_2(B)) &  (v1_dblseq_1(k6_dblseq_1(k4_ordinal1, k1_numbers, k11_binop_2, A, B)) & k1_dblseq_1(k6_dblseq_1(k4_ordinal1, k1_numbers, k11_binop_2, A, B))=k3_xcmplx_0(k1_seq_2(A), k1_seq_2(B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_comseq_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_comseq_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (v2_dblseq_1(k6_dblseq_1(k4_ordinal1, k1_numbers, k9_binop_2, A, B)) &  (v3_dblseq_1(k6_dblseq_1(k4_ordinal1, k1_numbers, k9_binop_2, A, B)) &  (v2_comseq_2(k2_dblseq_1(k6_dblseq_1(k4_ordinal1, k1_numbers, k9_binop_2, A, B))) &  (k4_dblseq_1(k6_dblseq_1(k4_ordinal1, k1_numbers, k9_binop_2, A, B))=k2_xcmplx_0(k1_seq_2(A), k1_seq_2(B)) &  (v2_comseq_2(k3_dblseq_1(k6_dblseq_1(k4_ordinal1, k1_numbers, k9_binop_2, A, B))) &  (k5_dblseq_1(k6_dblseq_1(k4_ordinal1, k1_numbers, k9_binop_2, A, B))=k2_xcmplx_0(k1_seq_2(A), k1_seq_2(B)) &  (v1_dblseq_1(k6_dblseq_1(k4_ordinal1, k1_numbers, k9_binop_2, A, B)) & k1_dblseq_1(k6_dblseq_1(k4_ordinal1, k1_numbers, k9_binop_2, A, B))=k2_xcmplx_0(k1_seq_2(A), k1_seq_2(B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  ( (v1_dblseq_1(A) & v1_dblseq_1(B))  =>  (v1_dblseq_1(k3_valued_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers, k1_numbers, A, B)) & k1_dblseq_1(k3_valued_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers, k1_numbers, A, B))=k2_xcmplx_0(k1_dblseq_1(A), k1_dblseq_1(B))) ) ) ) ) ) ).
fof(t12_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  ( (v1_dblseq_1(A) & v1_dblseq_1(B))  =>  (v1_dblseq_1(k47_valued_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers, k1_numbers, A, B)) & k1_dblseq_1(k47_valued_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers, k1_numbers, A, B))=k6_xcmplx_0(k1_dblseq_1(A), k1_dblseq_1(B))) ) ) ) ) ) ).
fof(t13_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (! [B] :  (v1_xreal_0(B) =>  (v1_dblseq_1(A) =>  (v1_dblseq_1(k26_valued_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers, A, B)) & k1_dblseq_1(k26_valued_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers, A, B))=k3_xcmplx_0(B, k1_dblseq_1(A))) ) ) ) ) ) ).
fof(t14_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (! [B] :  (v1_xreal_0(B) =>  ( (v1_dblseq_1(A) &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(B, k1_binop_1(A, C, D))) ) ) ) )  => r1_xxreal_0(B, k1_dblseq_1(A))) ) ) ) ) ).
fof(t15_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  ( (v1_dblseq_1(A) &  (v1_dblseq_1(B) &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k1_binop_1(A, C, D), k1_binop_1(B, C, D))) ) ) ) ) )  => r1_xxreal_0(k1_dblseq_1(A), k1_dblseq_1(B))) ) ) ) ) ).
fof(t16_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  ( (v1_dblseq_1(B) &  (v1_dblseq_1(C) &  (k1_dblseq_1(B)=k1_dblseq_1(C) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(k1_binop_1(B, D, E), k1_binop_1(A, D, E)) & r1_xxreal_0(k1_binop_1(A, D, E), k1_binop_1(C, D, E))) ) ) ) ) ) ) )  =>  (v1_dblseq_1(A) & k1_dblseq_1(A)=k1_dblseq_1(B)) ) ) ) ) ) ) ) ).
fof(d14_dblseq_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A)))) )  =>  (m1_dblseq_1(C, A, B) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_ordinal1) &  (v5_valued_0(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) )  &  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k4_ordinal1) &  (v5_valued_0(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) )  &  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) => k1_binop_1(C, F, G)=k2_binop_1(k4_ordinal1, k4_ordinal1, A, B, k8_nat_1(k4_ordinal1, D, F), k8_nat_1(k4_ordinal1, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) &  (v1_dblseq_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) ) )  =>  (! [B] :  (m1_dblseq_1(B, k1_numbers, A) => k1_dblseq_1(B)=k1_dblseq_1(A)) ) ) ) ).
fof(t18_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (! [B] :  (m1_dblseq_1(B, k1_numbers, A) =>  ( (v2_dblseq_1(A) & v2_comseq_2(k2_dblseq_1(A)))  =>  (v2_comseq_2(k2_dblseq_1(B)) & k4_dblseq_1(B)=k4_dblseq_1(A)) ) ) ) ) ) ).
fof(t19_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (! [B] :  (m1_dblseq_1(B, k1_numbers, A) =>  ( (v3_dblseq_1(A) & v2_comseq_2(k3_dblseq_1(A)))  =>  (v2_comseq_2(k3_dblseq_1(B)) & k5_dblseq_1(B)=k5_dblseq_1(A)) ) ) ) ) ) ).
fof(dt_k1_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  => v1_xreal_0(k1_dblseq_1(A))) ) ).
fof(dt_k2_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v1_funct_1(k2_dblseq_1(A)) &  (v1_funct_2(k2_dblseq_1(A), k4_ordinal1, k1_numbers) & m1_subset_1(k2_dblseq_1(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k3_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v1_funct_1(k3_dblseq_1(A)) &  (v1_funct_2(k3_dblseq_1(A), k4_ordinal1, k1_numbers) & m1_subset_1(k3_dblseq_1(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k4_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  => v1_xreal_0(k4_dblseq_1(A))) ) ).
fof(dt_k5_dblseq_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  => v1_xreal_0(k5_dblseq_1(A))) ) ).
fof(dt_k6_dblseq_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) )  =>  (v1_funct_1(k6_dblseq_1(A, B, C, D, E)) &  (v1_funct_2(k6_dblseq_1(A, B, C, D, E), k2_zfmisc_1(A, A), B) & m1_subset_1(k6_dblseq_1(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), B)))) ) ) ) ).
fof(redefinition_k6_dblseq_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) )  => k6_dblseq_1(A, B, C, D, E)=k6_finseqop(C, D, E)) ) ).
fof(dt_m1_dblseq_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A)))) ) )  =>  (! [C] :  (m1_dblseq_1(C, A, B) =>  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A)))) ) ) ) ) ) ).
fof(existence_m1_dblseq_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A)))) ) )  =>  (? [C] : m1_dblseq_1(C, A, B)) ) ) ).
fof(fc1_dblseq_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  & v7_ordinal1(C)) )  =>  (v1_relat_1(k61_valued_1(k2_partfun1(k4_ordinal1, A, B, k6_ordinal1(C)), 1)) &  (v1_funct_1(k61_valued_1(k2_partfun1(k4_ordinal1, A, B, k6_ordinal1(C)), 1)) & v1_finseq_1(k61_valued_1(k2_partfun1(k4_ordinal1, A, B, k6_ordinal1(C)), 1))) ) ) ) ).
fof(d1_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v4_partfun3(A) <=>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k5_numbers, k1_binop_1(A, B, C))) ) ) ) ) ) ) ).
fof(t1_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v6_dblseq_1(A) =>  ( (! [B] :  (m1_subset_1(B, k4_ordinal1) => v7_valued_0(k5_mesfunc9(k4_ordinal1, k4_ordinal1, k1_numbers, A, B))) )  &  (! [B] :  (m1_subset_1(B, k4_ordinal1) => v7_valued_0(k6_mesfunc9(k4_ordinal1, k4_ordinal1, k1_numbers, A, B))) ) ) ) ) ) ).
fof(t2_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  ( (v6_dblseq_1(A) & v2_dblseq_1(A))  => v7_valued_0(k2_dblseq_1(A))) ) ) ).
fof(t3_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  ( (v6_dblseq_1(A) & v3_dblseq_1(A))  => v7_valued_0(k3_dblseq_1(A))) ) ) ).
fof(t4_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  ( (v6_dblseq_1(A) & v1_dblseq_1(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k1_binop_1(A, B, C), k1_dblseq_1(A))) ) ) ) ) ) ) ).
fof(t5_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (k1_relset_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k3_valued_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers, k1_numbers, A, B))=k2_zfmisc_1(k4_ordinal1, k4_ordinal1) &  (k1_relset_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k47_valued_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers, k1_numbers, A, B))=k2_zfmisc_1(k4_ordinal1, k4_ordinal1) &  ( (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k1_binop_1(k3_valued_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers, k1_numbers, A, B), C, D)=k2_xcmplx_0(k1_binop_1(A, C, D), k1_binop_1(B, C, D))) ) ) )  &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k1_binop_1(k47_valued_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers, k1_numbers, A, B), C, D)=k6_xcmplx_0(k1_binop_1(A, C, D), k1_binop_1(B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_dblseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, A), C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, A), C)))) )  &  (! [F] :  (m1_subset_1(F, B) =>  (! [G] :  (m1_subset_1(G, A) => k2_binop_1(B, A, C, E, F, G)=k2_binop_1(A, B, C, D, G, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_dblseq_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  => r2_funct_2(k2_zfmisc_1(A, B), C, D, k4_funct_4(B, A, C, k4_funct_4(A, B, C, D)))) ) ) ) ) ).
fof(d2_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (B=k1_dblseq_2(A) <=>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (k1_binop_1(B, C, k5_numbers)=k1_binop_1(A, C, k5_numbers) & k1_binop_1(B, C, k1_nat_1(D, 1))=k2_xcmplx_0(k1_binop_1(B, C, D), k1_binop_1(A, C, k1_nat_1(D, 1)))) ) ) ) ) ) ) ) ) ) ).
fof(d3_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (B=k2_dblseq_2(A) <=>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (k1_binop_1(B, k5_numbers, D)=k1_binop_1(A, k5_numbers, D) & k1_binop_1(B, k1_nat_1(C, 1), D)=k2_xcmplx_0(k1_binop_1(B, C, D), k1_binop_1(A, k1_nat_1(C, 1), D))) ) ) ) ) ) ) ) ) ) ).
fof(t8_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (r2_funct_2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers, k1_dblseq_2(k3_valued_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers, k1_numbers, A, B)), k3_valued_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers, k1_numbers, k1_dblseq_2(A), k1_dblseq_2(B))) & r2_funct_2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers, k2_dblseq_2(k3_valued_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers, k1_numbers, A, B)), k3_valued_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers, k1_numbers, k2_dblseq_2(A), k2_dblseq_2(B)))) ) ) ) ) ).
fof(t9_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (k1_binop_1(k1_dblseq_2(A), B, C)=k1_binop_1(k2_dblseq_2(k13_funct_4(k4_ordinal1, k4_ordinal1, k1_numbers, A)), C, B) & k1_binop_1(k2_dblseq_2(A), B, C)=k1_binop_1(k1_dblseq_2(k13_funct_4(k4_ordinal1, k4_ordinal1, k1_numbers, A)), C, B)) ) ) ) ) ) ) ).
fof(t10_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (r2_funct_2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers, k1_dblseq_2(A), k13_funct_4(k4_ordinal1, k4_ordinal1, k1_numbers, k2_dblseq_2(k13_funct_4(k4_ordinal1, k4_ordinal1, k1_numbers, A)))) &  (r2_funct_2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers, k1_dblseq_2(k13_funct_4(k4_ordinal1, k4_ordinal1, k1_numbers, A)), k13_funct_4(k4_ordinal1, k4_ordinal1, k1_numbers, k2_dblseq_2(A))) &  (r2_funct_2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers, k13_funct_4(k4_ordinal1, k4_ordinal1, k1_numbers, k1_dblseq_2(A)), k2_dblseq_2(k13_funct_4(k4_ordinal1, k4_ordinal1, k1_numbers, A))) & r2_funct_2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers, k13_funct_4(k4_ordinal1, k4_ordinal1, k1_numbers, k1_dblseq_2(k13_funct_4(k4_ordinal1, k4_ordinal1, k1_numbers, A))), k2_dblseq_2(A))) ) ) ) ) ).
fof(d4_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  => k3_dblseq_2(A)=k1_dblseq_2(k2_dblseq_2(A))) ) ).
fof(t11_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (k1_binop_1(k3_dblseq_2(A), k1_nat_1(B, 1), C)=k2_xcmplx_0(k1_binop_1(k1_dblseq_2(A), k1_nat_1(B, 1), C), k1_binop_1(k3_dblseq_2(A), B, C)) & k1_binop_1(k2_dblseq_2(k1_dblseq_2(A)), B, k1_nat_1(C, 1))=k2_xcmplx_0(k1_binop_1(k2_dblseq_2(A), B, k1_nat_1(C, 1)), k1_binop_1(k2_dblseq_2(k1_dblseq_2(A)), B, C))) ) ) ) ) ) ) ).
fof(t12_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  => r2_funct_2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers, k3_dblseq_2(A), k2_dblseq_2(k1_dblseq_2(A)))) ) ).
fof(t13_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k2_binop_1(k4_ordinal1, k4_ordinal1, k1_numbers, A, k1_nat_1(B, 1), k1_nat_1(C, 1))=k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k2_binop_1(k4_ordinal1, k4_ordinal1, k1_numbers, k3_dblseq_2(A), k1_nat_1(B, 1), k1_nat_1(C, 1)), k1_binop_1(k3_dblseq_2(A), B, k1_nat_1(C, 1))), k1_binop_1(k3_dblseq_2(A), k1_nat_1(B, 1), C)), k1_binop_1(k3_dblseq_2(A), B, C))) ) ) ) ) ) ).
fof(t14_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k2_binop_1(k4_ordinal1, k4_ordinal1, k1_numbers, A, k1_nat_1(B, 1), k1_nat_1(C, 1))=k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k2_binop_1(k4_ordinal1, k4_ordinal1, k1_numbers, k2_dblseq_2(k1_dblseq_2(A)), k1_nat_1(B, 1), k1_nat_1(C, 1)), k1_binop_1(k2_dblseq_2(k1_dblseq_2(A)), k1_nat_1(B, 1), C)), k1_binop_1(k2_dblseq_2(k1_dblseq_2(A)), B, k1_nat_1(C, 1))), k1_binop_1(k2_dblseq_2(k1_dblseq_2(A)), B, C))) ) ) ) ) ) ).
fof(t15_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v1_dblseq_1(k3_dblseq_2(A)) =>  (v1_dblseq_1(A) & k1_dblseq_1(A)=k5_numbers) ) ) ) ).
fof(t16_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  => r2_funct_2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers, k3_dblseq_2(k3_valued_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers, k1_numbers, A, B)), k3_valued_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers, k1_numbers, k3_dblseq_2(A), k3_dblseq_2(B)))) ) ) ) ).
fof(t17_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  ( (v1_dblseq_1(k3_dblseq_2(A)) & v1_dblseq_1(k3_dblseq_2(B)))  => v1_dblseq_1(k3_dblseq_2(k3_valued_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers, k1_numbers, A, B)))) ) ) ) ) ).
fof(t18_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (k2_binop_1(k4_ordinal1, k4_ordinal1, k1_numbers, k2_dblseq_2(A), B, C)=k3_funct_2(k4_ordinal1, k1_numbers, k3_series_1(k6_mesfunc9(k4_ordinal1, k4_ordinal1, k1_numbers, A, C)), B) & k2_binop_1(k4_ordinal1, k4_ordinal1, k1_numbers, k1_dblseq_2(A), B, C)=k3_funct_2(k4_ordinal1, k1_numbers, k3_series_1(k5_mesfunc9(k4_ordinal1, k4_ordinal1, k1_numbers, A, B)), C)) ) ) ) ) ) ) ).
fof(t19_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (r2_funct_2(k4_ordinal1, k1_numbers, k5_mesfunc9(k4_ordinal1, k4_ordinal1, k1_numbers, k3_dblseq_2(A), k5_numbers), k5_mesfunc9(k4_ordinal1, k4_ordinal1, k1_numbers, k1_dblseq_2(A), k5_numbers)) & r2_funct_2(k4_ordinal1, k1_numbers, k6_mesfunc9(k4_ordinal1, k4_ordinal1, k1_numbers, k3_dblseq_2(A), k5_numbers), k6_mesfunc9(k4_ordinal1, k4_ordinal1, k1_numbers, k2_dblseq_2(A), k5_numbers))) ) ) ).
fof(t20_dblseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) )  =>  (! [E] :  (m1_subset_1(E, A) => r2_funct_2(B, k1_numbers, k5_mesfunc9(A, B, k1_numbers, k3_valued_1(k2_zfmisc_1(A, B), k1_numbers, k1_numbers, C, D), E), k3_valued_1(B, k1_numbers, k1_numbers, k5_mesfunc9(A, B, k1_numbers, C, E), k5_mesfunc9(A, B, k1_numbers, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t21_dblseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) )  =>  (! [E] :  (m1_subset_1(E, B) => r2_funct_2(A, k1_numbers, k6_mesfunc9(A, B, k1_numbers, k3_valued_1(k2_zfmisc_1(A, B), k1_numbers, k1_numbers, C, D), E), k3_valued_1(A, k1_numbers, k1_numbers, k6_mesfunc9(A, B, k1_numbers, C, E), k6_mesfunc9(A, B, k1_numbers, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t22_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v2_dblseq_1(k3_dblseq_2(A)) <=> v2_dblseq_1(k2_dblseq_2(A))) ) ) ).
fof(t23_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v3_dblseq_1(k3_dblseq_2(A)) <=> v3_dblseq_1(k1_dblseq_2(A))) ) ) ).
fof(t24_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v2_dblseq_1(k3_dblseq_2(A)) =>  (! [B] :  (v7_ordinal1(B) => k3_funct_2(k4_ordinal1, k1_numbers, k2_dblseq_1(k3_dblseq_2(A)), k1_nat_1(B, 1))=k2_xcmplx_0(k8_nat_1(k1_numbers, k2_dblseq_1(k3_dblseq_2(A)), B), k3_funct_2(k4_ordinal1, k1_numbers, k2_dblseq_1(k2_dblseq_2(A)), k1_nat_1(B, 1)))) ) ) ) ) ).
fof(t25_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v3_dblseq_1(k3_dblseq_2(A)) =>  (! [B] :  (v7_ordinal1(B) => k3_funct_2(k4_ordinal1, k1_numbers, k3_dblseq_1(k3_dblseq_2(A)), k1_nat_1(B, 1))=k2_xcmplx_0(k8_nat_1(k1_numbers, k3_dblseq_1(k3_dblseq_2(A)), B), k3_funct_2(k4_ordinal1, k1_numbers, k3_dblseq_1(k1_dblseq_2(A)), k1_nat_1(B, 1)))) ) ) ) ) ).
fof(t26_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v2_dblseq_1(k3_dblseq_2(A)) => r2_funct_2(k4_ordinal1, k1_numbers, k2_dblseq_1(k3_dblseq_2(A)), k3_series_1(k2_dblseq_1(k2_dblseq_2(A))))) ) ) ).
fof(t27_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v3_dblseq_1(k3_dblseq_2(A)) => r2_funct_2(k4_ordinal1, k1_numbers, k3_dblseq_1(k3_dblseq_2(A)), k3_series_1(k3_dblseq_1(k1_dblseq_2(A))))) ) ) ).
fof(t28_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v4_partfun3(A) =>  (v4_partfun3(k1_dblseq_2(A)) & v4_partfun3(k2_dblseq_2(A))) ) ) ) ).
fof(t29_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v4_partfun3(A) => v6_dblseq_1(k3_dblseq_2(A))) ) ) ).
fof(t30_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v4_partfun3(A) =>  (v1_dblseq_1(k3_dblseq_2(A)) <=>  (v2_seq_2(k3_dblseq_2(A)) & v1_seq_2(k3_dblseq_2(A))) ) ) ) ) ).
fof(t31_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  ( (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k1_binop_1(A, C, D), k1_binop_1(B, C, D))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(k1_binop_1(k2_dblseq_2(A), C, D), k1_binop_1(k2_dblseq_2(B), C, D)) & r1_xxreal_0(k1_binop_1(k1_dblseq_2(A), C, D), k1_binop_1(k1_dblseq_2(B), C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t32_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  ( (v4_partfun3(A) &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k1_binop_1(A, C, D), k1_binop_1(B, C, D))) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k1_binop_1(k3_dblseq_2(A), C, D), k1_binop_1(k3_dblseq_2(B), C, D))) ) ) ) ) ) ) ) ) ).
fof(t33_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  ( (v4_partfun3(A) &  ( (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k1_binop_1(A, C, D), k1_binop_1(B, C, D))) ) ) )  & v1_dblseq_1(k3_dblseq_2(B))) )  => v1_dblseq_1(k3_dblseq_2(A))) ) ) ) ) ).
fof(t34_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) =>  (v4_partfun3(A) => r1_xxreal_0(k8_nat_1(k1_numbers, A, B), k8_nat_1(k1_numbers, k3_series_1(A), B))) ) ) ) ) ).
fof(t35_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v4_partfun3(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(k1_binop_1(A, B, C), k1_binop_1(k2_dblseq_2(A), B, C)) & r1_xxreal_0(k1_binop_1(A, B, C), k1_binop_1(k1_dblseq_2(A), B, C))) ) ) ) ) ) ) ) ).
fof(t36_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v4_partfun3(A) =>  ( (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(B, C) => r1_xxreal_0(k1_binop_1(k2_dblseq_2(A), B, D), k1_binop_1(k2_dblseq_2(A), C, D))) ) ) ) ) ) )  &  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(C, D) => r1_xxreal_0(k1_binop_1(k1_dblseq_2(A), B, C), k1_binop_1(k1_dblseq_2(A), B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v4_partfun3(A) =>  ( (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(B, C) => r1_xxreal_0(k1_binop_1(k3_dblseq_2(A), B, D), k1_binop_1(k3_dblseq_2(A), C, D))) ) ) ) ) ) )  &  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(C, D) => r1_xxreal_0(k1_binop_1(k3_dblseq_2(A), B, C), k1_binop_1(k3_dblseq_2(A), B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v4_partfun3(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(B, C) & r1_xxreal_0(D, E))  => r1_xxreal_0(k1_binop_1(k3_dblseq_2(A), B, D), k1_binop_1(k3_dblseq_2(A), C, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v4_partfun3(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (v7_valued_0(k6_mesfunc9(k4_ordinal1, k4_ordinal1, k1_numbers, k2_dblseq_2(A), B)) &  (v7_valued_0(k5_mesfunc9(k4_ordinal1, k4_ordinal1, k1_numbers, k1_dblseq_2(A), B)) &  (v4_partfun3(k6_mesfunc9(k4_ordinal1, k4_ordinal1, k1_numbers, k2_dblseq_2(A), B)) &  (v4_partfun3(k5_mesfunc9(k4_ordinal1, k4_ordinal1, k1_numbers, k1_dblseq_2(A), B)) &  (v4_partfun3(k6_mesfunc9(k4_ordinal1, k4_ordinal1, k1_numbers, k1_dblseq_2(A), B)) & v4_partfun3(k5_mesfunc9(k4_ordinal1, k4_ordinal1, k1_numbers, k2_dblseq_2(A), B))) ) ) ) ) ) ) ) ) ) ).
fof(t40_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  ( (v4_partfun3(A) & v1_dblseq_1(k3_dblseq_2(A)))  =>  (v2_dblseq_1(k2_dblseq_2(A)) & v3_dblseq_1(k1_dblseq_2(A))) ) ) ) ).
fof(t41_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  ( (v4_partfun3(A) & v1_dblseq_1(k3_dblseq_2(A)))  =>  (v2_dblseq_1(k3_dblseq_2(A)) & v3_dblseq_1(k3_dblseq_2(A))) ) ) ) ).
fof(t42_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  ( (v4_partfun3(A) & v1_dblseq_1(k3_dblseq_2(A)))  =>  (v1_series_1(k2_dblseq_1(k2_dblseq_2(A))) & v1_series_1(k3_dblseq_1(k1_dblseq_2(A)))) ) ) ) ).
fof(t43_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  ( (v4_partfun3(A) & v1_dblseq_1(k3_dblseq_2(A)))  =>  (k1_dblseq_1(k3_dblseq_2(A))=k4_series_1(k2_dblseq_1(k2_dblseq_2(A))) & k1_dblseq_1(k3_dblseq_2(A))=k4_series_1(k3_dblseq_1(k1_dblseq_2(A)))) ) ) ) ).
fof(t44_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v4_partfun3(A) & r2_classes1(A, B))  => v4_partfun3(B)) ) ) ) ) ).
fof(t45_dblseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  =>  (! [C] :  (v7_ordinal1(C) => k1_relset_1(k4_ordinal1, k61_valued_1(k2_partfun1(k4_ordinal1, A, B, k6_ordinal1(C)), 1))=k2_finseq_1(C)) ) ) ) ) ) ).
fof(t46_dblseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  =>  (! [C] :  (v7_ordinal1(C) => m2_finseq_1(k61_valued_1(k2_partfun1(k4_ordinal1, A, B, k6_ordinal1(C)), 1), A)) ) ) ) ) ) ).
fof(t47_dblseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(k1_nat_1(D, 1), k4_finseq_1(k61_valued_1(k2_partfun1(k4_ordinal1, A, B, k6_ordinal1(C)), 1))) => k1_funct_1(k61_valued_1(k2_partfun1(k4_ordinal1, A, B, k6_ordinal1(C)), 1), k1_nat_1(D, 1))=k8_nat_1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t48_dblseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  =>  (k61_valued_1(k2_partfun1(k4_ordinal1, A, B, k6_ordinal1(k5_numbers)), 1)=k1_xboole_0 &  (k61_valued_1(k2_partfun1(k4_ordinal1, A, B, k6_ordinal1(1)), 1)=k13_matrix_0(A, k3_funct_2(k4_ordinal1, A, B, k5_numbers)) &  (k61_valued_1(k2_partfun1(k4_ordinal1, A, B, k6_ordinal1(2)), 1)=k10_finseq_1(k3_funct_2(k4_ordinal1, A, B, k5_numbers), k3_funct_2(k4_ordinal1, A, B, 1)) &  (! [C] :  (v7_ordinal1(C) => k61_valued_1(k2_partfun1(k4_ordinal1, A, B, k6_ordinal1(k1_nat_1(C, 1))), 1)=k7_finseq_1(k61_valued_1(k2_partfun1(k4_ordinal1, A, B, k6_ordinal1(C)), 1), k13_matrix_0(A, k8_nat_1(A, B, C)))) ) ) ) ) ) ) ) ) ).
fof(t49_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) => k8_nat_1(k1_numbers, k3_series_1(A), B)=k16_rvsum_1(k61_valued_1(k2_partfun1(k4_ordinal1, k1_numbers, A, k6_ordinal1(k1_nat_1(B, 1))), 1))) ) ) ) ).
fof(t50_dblseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_classes1(B, C) &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k61_valued_1(k2_partfun1(k4_ordinal1, A, C, k6_ordinal1(E)), 1))) =>  ~ (r2_classes1(k61_valued_1(k2_partfun1(k4_ordinal1, A, B, k6_ordinal1(k1_nat_1(D, 1))), 1), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_dblseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => r2_classes1(k1_glib_003(A, B, C), C)) ) ) ) ) ) ).
fof(t52_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_classes1(A, B) &  (v4_partfun3(A) &  (! [D] :  (v7_ordinal1(D) =>  ~ (r1_xxreal_0(k8_nat_1(k1_numbers, k3_series_1(A), C), k8_nat_1(k1_numbers, k3_series_1(B), D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (r2_classes1(A, B) &  (v4_partfun3(A) & v1_series_1(A)) )  =>  (v1_series_1(B) & k4_series_1(A)=k4_series_1(B)) ) ) ) ) ) ).
fof(t54_dblseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A)))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, A, k1_nat_1(C, 1), k1_nat_1(D, 1)) & m2_finseq_1(E, k3_finseq_2(A))) )  &  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ( (r1_xxreal_0(F, C) & r1_xxreal_0(G, D))  => k1_binop_1(B, F, G)=k3_matrix_0(A, E, k1_nat_1(F, 1), k1_nat_1(G, 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_dblseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, k1_nat_1(A, 1), k1_nat_1(B, 1)) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  ( (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(E, A) & r1_xxreal_0(F, B))  => k1_binop_1(C, E, F)=k3_matrix_0(k1_numbers, D, k1_nat_1(E, 1), k1_nat_1(F, 1))) ) ) ) )  => k1_binop_1(k3_dblseq_2(C), A, B)=k5_matrprob(D)) ) ) ) ) ) ) ) ) ).
fof(s1_dblseq_2, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(f1_s1_dblseq_2, k4_ordinal1), f2_s1_dblseq_2) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(f1_s1_dblseq_2, k4_ordinal1), f2_s1_dblseq_2)))) )  &  (! [B] :  (m1_subset_1(B, f1_s1_dblseq_2) =>  (k2_binop_1(f1_s1_dblseq_2, k4_ordinal1, f2_s1_dblseq_2, A, B, k5_numbers)=k3_funct_2(f1_s1_dblseq_2, f2_s1_dblseq_2, f3_s1_dblseq_2, B) &  (! [C] :  (v7_ordinal1(C) => k2_binop_1(f1_s1_dblseq_2, k4_ordinal1, f2_s1_dblseq_2, A, B, k1_nat_1(C, 1))=f4_s1_dblseq_2(k1_binop_1(A, B, C), B, C)) ) ) ) ) ) ) ).
fof(s2_dblseq_2, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(f1_s2_dblseq_2, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(f1_s2_dblseq_2, k4_ordinal1), k1_numbers)))) )  &  (! [B] :  (m1_subset_1(B, f1_s2_dblseq_2) =>  (k2_binop_1(f1_s2_dblseq_2, k4_ordinal1, k1_numbers, A, B, k5_numbers)=k3_funct_2(f1_s2_dblseq_2, k1_numbers, f2_s2_dblseq_2, B) &  (! [C] :  (v7_ordinal1(C) => k2_binop_1(f1_s2_dblseq_2, k4_ordinal1, k1_numbers, A, B, k1_nat_1(C, 1))=f3_s2_dblseq_2(k1_binop_1(A, B, C), B, C)) ) ) ) ) ) ) ).
fof(s3_dblseq_2, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, f1_s3_dblseq_2), f2_s3_dblseq_2) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f1_s3_dblseq_2), f2_s3_dblseq_2)))) )  &  (! [B] :  (m1_subset_1(B, f1_s3_dblseq_2) =>  (k2_binop_1(k4_ordinal1, f1_s3_dblseq_2, f2_s3_dblseq_2, A, k5_numbers, B)=k3_funct_2(f1_s3_dblseq_2, f2_s3_dblseq_2, f3_s3_dblseq_2, B) &  (! [C] :  (v7_ordinal1(C) => k2_binop_1(k4_ordinal1, f1_s3_dblseq_2, f2_s3_dblseq_2, A, k1_nat_1(C, 1), B)=f4_s3_dblseq_2(k1_binop_1(A, C, B), B, C)) ) ) ) ) ) ) ).
fof(s4_dblseq_2, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, f1_s4_dblseq_2), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f1_s4_dblseq_2), k1_numbers)))) )  &  (! [B] :  (m1_subset_1(B, f1_s4_dblseq_2) =>  (k2_binop_1(k4_ordinal1, f1_s4_dblseq_2, k1_numbers, A, k5_numbers, B)=k3_funct_2(f1_s4_dblseq_2, k1_numbers, f2_s4_dblseq_2, B) &  (! [C] :  (v7_ordinal1(C) => k2_binop_1(k4_ordinal1, f1_s4_dblseq_2, k1_numbers, A, k1_nat_1(C, 1), B)=f3_s4_dblseq_2(k1_binop_1(A, C, B), B, C)) ) ) ) ) ) ) ).
fof(dt_f1_s1_dblseq_2, axiom,  ~ (v1_xboole_0(f1_s1_dblseq_2)) ).
fof(dt_f2_s1_dblseq_2, axiom,  ~ (v1_xboole_0(f2_s1_dblseq_2)) ).
fof(dt_f3_s1_dblseq_2, axiom,  (v1_funct_1(f3_s1_dblseq_2) &  (v1_funct_2(f3_s1_dblseq_2, f1_s1_dblseq_2, f2_s1_dblseq_2) & m1_subset_1(f3_s1_dblseq_2, k1_zfmisc_1(k2_zfmisc_1(f1_s1_dblseq_2, f2_s1_dblseq_2)))) ) ).
fof(dt_f4_s1_dblseq_2, axiom,  (! [A, B, C] : m1_subset_1(f4_s1_dblseq_2(A, B, C), f2_s1_dblseq_2)) ).
fof(dt_f1_s2_dblseq_2, axiom,  ~ (v1_xboole_0(f1_s2_dblseq_2)) ).
fof(dt_f2_s2_dblseq_2, axiom,  (v1_funct_1(f2_s2_dblseq_2) &  (v1_funct_2(f2_s2_dblseq_2, f1_s2_dblseq_2, k1_numbers) & m1_subset_1(f2_s2_dblseq_2, k1_zfmisc_1(k2_zfmisc_1(f1_s2_dblseq_2, k1_numbers)))) ) ).
fof(dt_f3_s2_dblseq_2, axiom,  (! [A, B, C] : v1_xreal_0(f3_s2_dblseq_2(A, B, C))) ).
fof(dt_f1_s3_dblseq_2, axiom,  ~ (v1_xboole_0(f1_s3_dblseq_2)) ).
fof(dt_f2_s3_dblseq_2, axiom,  ~ (v1_xboole_0(f2_s3_dblseq_2)) ).
fof(dt_f3_s3_dblseq_2, axiom,  (v1_funct_1(f3_s3_dblseq_2) &  (v1_funct_2(f3_s3_dblseq_2, f1_s3_dblseq_2, f2_s3_dblseq_2) & m1_subset_1(f3_s3_dblseq_2, k1_zfmisc_1(k2_zfmisc_1(f1_s3_dblseq_2, f2_s3_dblseq_2)))) ) ).
fof(dt_f4_s3_dblseq_2, axiom,  (! [A, B, C] : m1_subset_1(f4_s3_dblseq_2(A, B, C), f2_s3_dblseq_2)) ).
fof(dt_f1_s4_dblseq_2, axiom,  ~ (v1_xboole_0(f1_s4_dblseq_2)) ).
fof(dt_f2_s4_dblseq_2, axiom,  (v1_funct_1(f2_s4_dblseq_2) &  (v1_funct_2(f2_s4_dblseq_2, f1_s4_dblseq_2, k1_numbers) & m1_subset_1(f2_s4_dblseq_2, k1_zfmisc_1(k2_zfmisc_1(f1_s4_dblseq_2, k1_numbers)))) ) ).
fof(dt_f3_s4_dblseq_2, axiom,  (! [A, B, C] : v1_xreal_0(f3_s4_dblseq_2(A, B, C))) ).
fof(dt_k1_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v1_funct_1(k1_dblseq_2(A)) &  (v1_funct_2(k1_dblseq_2(A), k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(k1_dblseq_2(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) ) ) ) ).
fof(dt_k2_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v1_funct_1(k2_dblseq_2(A)) &  (v1_funct_2(k2_dblseq_2(A), k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(k2_dblseq_2(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) ) ) ) ).
fof(dt_k3_dblseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v1_funct_1(k3_dblseq_2(A)) &  (v1_funct_2(k3_dblseq_2(A), k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(k3_dblseq_2(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) ) ) ) ).
fof(rc1_dblseq_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k1_numbers) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_funct_2(B, A, k1_numbers) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) &  (v6_supinf_2(B) & v2_mesfunc5(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_dblseq_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k6_numbers) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_funct_2(B, A, k6_numbers) &  (v2_valued_0(B) &  (v6_supinf_2(B) &  (v2_mesfunc5(B) &  (v3_mesfunc5(B) & v4_mesfunc5(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_dblseq_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) & v6_supinf_2(B)) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) & v3_mesfunc5(B)) ) ) ) ) ) ) ).
fof(cc2_dblseq_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) & v2_mesfunc5(B)) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) & v4_mesfunc5(B)) ) ) ) ) ) ) ).
fof(rc3_dblseq_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k6_numbers) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_funct_2(B, A, k6_numbers) &  (v2_valued_0(B) &  (v3_mesfunc5(B) & v4_mesfunc5(B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_dblseq_3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) &  (v3_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) )  =>  (v1_funct_1(k7_mesfunc1(A, B)) & v4_mesfunc5(k7_mesfunc1(A, B))) ) ) ).
fof(fc2_dblseq_3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) &  (v4_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) )  =>  (v1_funct_1(k7_mesfunc1(A, B)) & v3_mesfunc5(k7_mesfunc1(A, B))) ) ) ).
fof(fc3_dblseq_3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) &  (v6_supinf_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) )  =>  (v1_funct_1(k7_mesfunc1(A, B)) & v2_mesfunc5(k7_mesfunc1(A, B))) ) ) ).
fof(fc4_dblseq_3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) &  (v2_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) )  =>  (v1_funct_1(k7_mesfunc1(A, B)) & v6_supinf_2(k7_mesfunc1(A, B))) ) ) ).
fof(fc5_dblseq_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k6_numbers) &  (v3_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers)))) ) ) ) )  =>  (v1_relat_1(k2_funct_4(C)) &  (v1_funct_1(k2_funct_4(C)) & v3_mesfunc5(k2_funct_4(C))) ) ) ) ).
fof(fc6_dblseq_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k6_numbers) &  (v4_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers)))) ) ) ) )  =>  (v1_relat_1(k2_funct_4(C)) &  (v1_funct_1(k2_funct_4(C)) & v4_mesfunc5(k2_funct_4(C))) ) ) ) ).
fof(fc7_dblseq_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k6_numbers) &  (v6_supinf_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers)))) ) ) ) )  =>  (v1_relat_1(k2_funct_4(C)) &  (v1_funct_1(k2_funct_4(C)) & v6_supinf_2(k2_funct_4(C))) ) ) ) ).
fof(fc8_dblseq_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k6_numbers) &  (v2_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers)))) ) ) ) )  =>  (v1_relat_1(k2_funct_4(C)) &  (v1_funct_1(k2_funct_4(C)) & v2_mesfunc5(k2_funct_4(C))) ) ) ) ).
fof(fc9_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) &  (v6_supinf_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) ) )  =>  (v1_funct_1(k1_mesfunc9(A)) &  (v1_funct_2(k1_mesfunc9(A), k4_ordinal1, k6_numbers) & v6_supinf_2(k1_mesfunc9(A))) ) ) ) ).
fof(fc10_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) &  (v2_mesfunc5(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) ) )  =>  (v1_funct_1(k1_mesfunc9(A)) &  (v1_funct_2(k1_mesfunc9(A), k4_ordinal1, k6_numbers) & v2_mesfunc5(k1_mesfunc9(A))) ) ) ) ).
fof(cc3_dblseq_3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers))) =>  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & v8_mesfunc5(A)) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & v10_mesfunc5(A)) ) ) ) ) ).
fof(cc4_dblseq_3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers))) =>  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & v9_mesfunc5(A)) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & v10_mesfunc5(A)) ) ) ) ) ).
fof(cc5_dblseq_3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers))) =>  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & v7_mesfunc5(A)) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & v10_mesfunc5(A)) ) ) ) ) ).
fof(rc4_dblseq_3, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers))) &  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k6_numbers) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) &  (v2_valued_0(A) & v10_mesfunc5(A)) ) ) ) ) ) ) ) ) ) ).
fof(rc5_dblseq_3, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers))) &  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k6_numbers) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) &  (v2_valued_0(A) &  (v3_mesfunc5(A) & v10_mesfunc5(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc6_dblseq_3, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers))) &  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k6_numbers) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) &  (v2_valued_0(A) &  (v4_mesfunc5(A) & v10_mesfunc5(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc11_dblseq_3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k6_numbers) &  (v4_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers)))) ) )  & m1_subset_1(D, A)) ) )  =>  (v1_funct_1(k5_mesfunc9(A, B, k6_numbers, C, D)) &  (v1_funct_2(k5_mesfunc9(A, B, k6_numbers, C, D), B, k6_numbers) & v4_mesfunc5(k5_mesfunc9(A, B, k6_numbers, C, D))) ) ) ) ).
fof(fc12_dblseq_3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k6_numbers) &  (v4_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers)))) ) )  & m1_subset_1(D, B)) ) )  =>  (v1_funct_1(k6_mesfunc9(A, B, k6_numbers, C, D)) &  (v1_funct_2(k6_mesfunc9(A, B, k6_numbers, C, D), A, k6_numbers) & v4_mesfunc5(k6_mesfunc9(A, B, k6_numbers, C, D))) ) ) ) ).
fof(fc13_dblseq_3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k6_numbers) &  (v3_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers)))) ) )  & m1_subset_1(D, A)) ) )  =>  (v1_funct_1(k5_mesfunc9(A, B, k6_numbers, C, D)) &  (v1_funct_2(k5_mesfunc9(A, B, k6_numbers, C, D), B, k6_numbers) & v3_mesfunc5(k5_mesfunc9(A, B, k6_numbers, C, D))) ) ) ) ).
fof(fc14_dblseq_3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k6_numbers) &  (v3_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers)))) ) )  & m1_subset_1(D, B)) ) )  =>  (v1_funct_1(k6_mesfunc9(A, B, k6_numbers, C, D)) &  (v1_funct_2(k6_mesfunc9(A, B, k6_numbers, C, D), A, k6_numbers) & v3_mesfunc5(k6_mesfunc9(A, B, k6_numbers, C, D))) ) ) ) ).
fof(fc15_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v3_mesfunc5(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (v1_funct_1(k9_dblseq_3(A)) &  (v1_funct_2(k9_dblseq_3(A), k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & v3_mesfunc5(k9_dblseq_3(A))) ) ) ) ).
fof(fc16_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v4_mesfunc5(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (v1_funct_1(k9_dblseq_3(A)) &  (v1_funct_2(k9_dblseq_3(A), k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & v4_mesfunc5(k9_dblseq_3(A))) ) ) ) ).
fof(fc17_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v6_supinf_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (v1_funct_1(k9_dblseq_3(A)) &  (v1_funct_2(k9_dblseq_3(A), k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & v6_supinf_2(k9_dblseq_3(A))) ) ) ) ).
fof(fc18_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v2_mesfunc5(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (v1_funct_1(k9_dblseq_3(A)) &  (v1_funct_2(k9_dblseq_3(A), k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & v2_mesfunc5(k9_dblseq_3(A))) ) ) ) ).
fof(fc19_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v3_mesfunc5(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (v1_funct_1(k10_dblseq_3(A)) &  (v1_funct_2(k10_dblseq_3(A), k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & v3_mesfunc5(k10_dblseq_3(A))) ) ) ) ).
fof(fc20_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v4_mesfunc5(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (v1_funct_1(k10_dblseq_3(A)) &  (v1_funct_2(k10_dblseq_3(A), k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & v4_mesfunc5(k10_dblseq_3(A))) ) ) ) ).
fof(fc21_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v6_supinf_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (v1_funct_1(k10_dblseq_3(A)) &  (v1_funct_2(k10_dblseq_3(A), k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & v6_supinf_2(k10_dblseq_3(A))) ) ) ) ).
fof(fc22_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v2_mesfunc5(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (v1_funct_1(k10_dblseq_3(A)) &  (v1_funct_2(k10_dblseq_3(A), k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & v2_mesfunc5(k10_dblseq_3(A))) ) ) ) ).
fof(fc23_dblseq_3, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v6_supinf_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  & m1_subset_1(B, k4_ordinal1))  =>  (v1_funct_1(k5_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, A, B)) &  (v1_funct_2(k5_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, A, B), k4_ordinal1, k6_numbers) & v6_supinf_2(k5_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, A, B))) ) ) ) ).
fof(fc24_dblseq_3, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v6_supinf_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  & m1_subset_1(B, k4_ordinal1))  =>  (v1_funct_1(k6_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, A, B)) &  (v1_funct_2(k6_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, A, B), k4_ordinal1, k6_numbers) & v6_supinf_2(k6_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, A, B))) ) ) ) ).
fof(fc25_dblseq_3, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v6_supinf_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  & m1_subset_1(B, k4_ordinal1))  =>  (v1_funct_1(k5_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, k9_dblseq_3(A), B)) &  (v1_funct_2(k5_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, k9_dblseq_3(A), B), k4_ordinal1, k6_numbers) & v7_valued_0(k5_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, k9_dblseq_3(A), B))) ) ) ) ).
fof(fc26_dblseq_3, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v6_supinf_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  & m1_subset_1(B, k4_ordinal1))  =>  (v1_funct_1(k6_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, k10_dblseq_3(A), B)) &  (v1_funct_2(k6_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, k10_dblseq_3(A), B), k4_ordinal1, k6_numbers) & v7_valued_0(k6_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, k10_dblseq_3(A), B))) ) ) ) ).
fof(t1_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  => r2_funct_2(k4_ordinal1, k6_numbers, k1_mesfunc9(k1_dblseq_3(k4_ordinal1, A)), k1_dblseq_3(k4_ordinal1, k1_mesfunc9(A)))) ) ).
fof(t2_dblseq_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  => r2_relset_1(A, k6_numbers, k7_mesfunc1(A, k7_mesfunc1(A, B)), B)) ) ) ) ).
fof(t3_dblseq_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers)))) )  => r2_funct_2(k2_zfmisc_1(B, A), k6_numbers, k13_funct_4(A, B, k6_numbers, k1_dblseq_3(k2_zfmisc_1(A, B), C)), k1_dblseq_3(k2_zfmisc_1(B, A), k13_funct_4(A, B, k6_numbers, C)))) ) ) ) ) ) ).
fof(t4_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) &  (v6_supinf_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) ) )  =>  (! [B] :  (v7_ordinal1(B) => r1_xxreal_0(k12_supinf_2(A, B), k12_supinf_2(k1_mesfunc9(A), B))) ) ) ) ).
fof(t5_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) &  (v2_mesfunc5(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) ) )  =>  (! [B] :  (v7_ordinal1(B) => r1_xxreal_0(k12_supinf_2(k1_mesfunc9(A), B), k12_supinf_2(A, B))) ) ) ) ).
fof(t6_dblseq_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) &  (v3_mesfunc5(B) &  (v4_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ) ).
fof(t7_dblseq_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k6_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  ( ( (v3_mesfunc5(C) & v3_mesfunc5(D))  => k12_supinf_2(k3_mesfunc1(A, C, D), B)=k3_supinf_2(k12_supinf_2(C, B), k12_supinf_2(D, B)))  &  ( ( (v4_mesfunc5(C) & v4_mesfunc5(D))  => k12_supinf_2(k3_mesfunc1(A, C, D), B)=k3_supinf_2(k12_supinf_2(C, B), k12_supinf_2(D, B)))  &  ( ( (v3_mesfunc5(C) & v4_mesfunc5(D))  => k12_supinf_2(k4_mesfunc1(A, C, D), B)=k4_supinf_2(k12_supinf_2(C, B), k12_supinf_2(D, B)))  &  ( (v4_mesfunc5(C) & v3_mesfunc5(D))  => k12_supinf_2(k4_mesfunc1(A, C, D), B)=k4_supinf_2(k12_supinf_2(C, B), k12_supinf_2(D, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_dblseq_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) &  (v3_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k6_numbers) &  (v3_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) )  =>  (r2_funct_2(A, k6_numbers, k2_dblseq_3(A, B, C), k4_dblseq_3(A, B, k1_dblseq_3(A, C))) & r2_funct_2(A, k6_numbers, k1_dblseq_3(A, k2_dblseq_3(A, B, C)), k5_dblseq_3(A, k1_dblseq_3(A, B), C))) ) ) ) ) ) ) ).
fof(t9_dblseq_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) &  (v4_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k6_numbers) &  (v4_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) )  =>  (r2_funct_2(A, k6_numbers, k3_dblseq_3(A, B, C), k5_dblseq_3(A, B, k1_dblseq_3(A, C))) & r2_funct_2(A, k6_numbers, k1_dblseq_3(A, k3_dblseq_3(A, B, C)), k4_dblseq_3(A, k1_dblseq_3(A, B), C))) ) ) ) ) ) ) ).
fof(t10_dblseq_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) &  (v3_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k6_numbers) &  (v4_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) )  =>  (r2_funct_2(A, k6_numbers, k4_dblseq_3(A, B, C), k2_dblseq_3(A, B, k1_dblseq_3(A, C))) &  (r2_funct_2(A, k6_numbers, k5_dblseq_3(A, C, B), k3_dblseq_3(A, C, k1_dblseq_3(A, B))) &  (r2_funct_2(A, k6_numbers, k1_dblseq_3(A, k4_dblseq_3(A, B, C)), k3_dblseq_3(A, k1_dblseq_3(A, B), C)) & r2_funct_2(A, k6_numbers, k1_dblseq_3(A, k5_dblseq_3(A, C, B)), k2_dblseq_3(A, k1_dblseq_3(A, C), B))) ) ) ) ) ) ) ) ) ).
fof(t11_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v3_mesfunc5(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v3_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k6_dblseq_3(k2_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A, B), C, D)=k3_supinf_2(k6_dblseq_3(A, C, D), k6_dblseq_3(B, C, D))) ) ) ) ) ) ) ) ).
fof(t12_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v4_mesfunc5(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v4_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k6_dblseq_3(k3_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A, B), C, D)=k3_supinf_2(k6_dblseq_3(A, C, D), k6_dblseq_3(B, C, D))) ) ) ) ) ) ) ) ).
fof(t13_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v3_mesfunc5(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v4_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (k6_dblseq_3(k4_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A, B), C, D)=k4_supinf_2(k6_dblseq_3(A, C, D), k6_dblseq_3(B, C, D)) & k6_dblseq_3(k5_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), B, A), C, D)=k4_supinf_2(k6_dblseq_3(B, C, D), k6_dblseq_3(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t14_dblseq_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k6_numbers) &  (v3_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k6_numbers) &  (v3_mesfunc5(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers)))) ) )  => r2_funct_2(k2_zfmisc_1(B, A), k6_numbers, k13_funct_4(A, B, k6_numbers, k2_dblseq_3(k2_zfmisc_1(A, B), C, D)), k2_dblseq_3(k2_zfmisc_1(B, A), k13_funct_4(A, B, k6_numbers, C), k13_funct_4(A, B, k6_numbers, D)))) ) ) ) ) ) ) ) ).
fof(t15_dblseq_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k6_numbers) &  (v4_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k6_numbers) &  (v4_mesfunc5(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers)))) ) )  => r2_funct_2(k2_zfmisc_1(B, A), k6_numbers, k13_funct_4(A, B, k6_numbers, k3_dblseq_3(k2_zfmisc_1(A, B), C, D)), k3_dblseq_3(k2_zfmisc_1(B, A), k13_funct_4(A, B, k6_numbers, C), k13_funct_4(A, B, k6_numbers, D)))) ) ) ) ) ) ) ) ).
fof(t16_dblseq_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k6_numbers) &  (v3_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k6_numbers) &  (v4_mesfunc5(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers)))) ) )  =>  (r2_funct_2(k2_zfmisc_1(B, A), k6_numbers, k13_funct_4(A, B, k6_numbers, k4_dblseq_3(k2_zfmisc_1(A, B), C, D)), k4_dblseq_3(k2_zfmisc_1(B, A), k13_funct_4(A, B, k6_numbers, C), k13_funct_4(A, B, k6_numbers, D))) & r2_funct_2(k2_zfmisc_1(B, A), k6_numbers, k13_funct_4(A, B, k6_numbers, k5_dblseq_3(k2_zfmisc_1(A, B), D, C)), k5_dblseq_3(k2_zfmisc_1(B, A), k13_funct_4(A, B, k6_numbers, D), k13_funct_4(A, B, k6_numbers, C)))) ) ) ) ) ) ) ) ) ).
fof(t17_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) &  (v10_mesfunc5(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) ) )  =>  ( (v7_mesfunc5(A) => v7_mesfunc5(k1_dblseq_3(k4_ordinal1, A)))  &  ( (v7_mesfunc5(k1_dblseq_3(k4_ordinal1, A)) => v7_mesfunc5(A))  &  ( (v8_mesfunc5(A) => v9_mesfunc5(k1_dblseq_3(k4_ordinal1, A)))  &  ( (v9_mesfunc5(k1_dblseq_3(k4_ordinal1, A)) => v8_mesfunc5(A))  &  ( (v9_mesfunc5(A) => v8_mesfunc5(k1_dblseq_3(k4_ordinal1, A)))  &  ( (v8_mesfunc5(k1_dblseq_3(k4_ordinal1, A)) => v9_mesfunc5(A))  &  (v10_mesfunc5(k1_dblseq_3(k4_ordinal1, A)) & k2_mesfunc5(k1_dblseq_3(k4_ordinal1, A))=k2_supinf_2(k2_mesfunc5(A))) ) ) ) ) ) ) ) ) ).
fof(t18_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) &  (v3_mesfunc5(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) &  (v3_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) ) )  =>  ( (v8_mesfunc5(A) & v8_mesfunc5(B))  =>  (v8_mesfunc5(k2_dblseq_3(k4_ordinal1, A, B)) &  (v10_mesfunc5(k2_dblseq_3(k4_ordinal1, A, B)) & k2_mesfunc5(k2_dblseq_3(k4_ordinal1, A, B))=k1_supinf_1) ) ) ) ) ) ) ).
fof(t19_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) &  (v3_mesfunc5(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) &  (v3_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) ) )  =>  ( (v8_mesfunc5(A) & v7_mesfunc5(B))  =>  (v8_mesfunc5(k2_dblseq_3(k4_ordinal1, A, B)) &  (v10_mesfunc5(k2_dblseq_3(k4_ordinal1, A, B)) & k2_mesfunc5(k2_dblseq_3(k4_ordinal1, A, B))=k1_supinf_1) ) ) ) ) ) ) ).
fof(t20_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) &  (v4_mesfunc5(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) &  (v4_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) ) )  =>  ( (v8_mesfunc5(A) & v7_mesfunc5(B))  =>  (v8_mesfunc5(k3_dblseq_3(k4_ordinal1, A, B)) &  (v10_mesfunc5(k3_dblseq_3(k4_ordinal1, A, B)) & k2_mesfunc5(k3_dblseq_3(k4_ordinal1, A, B))=k1_supinf_1) ) ) ) ) ) ) ).
fof(t21_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) &  (v3_mesfunc5(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) &  (v3_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) ) )  =>  ( (v9_mesfunc5(A) & v9_mesfunc5(B))  =>  (v9_mesfunc5(k2_dblseq_3(k4_ordinal1, A, B)) &  (v10_mesfunc5(k2_dblseq_3(k4_ordinal1, A, B)) & k2_mesfunc5(k2_dblseq_3(k4_ordinal1, A, B))=k2_supinf_1) ) ) ) ) ) ) ).
fof(t22_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) &  (v3_mesfunc5(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) &  (v3_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) ) )  =>  ( (v9_mesfunc5(A) & v7_mesfunc5(B))  =>  (v9_mesfunc5(k2_dblseq_3(k4_ordinal1, A, B)) &  (v10_mesfunc5(k2_dblseq_3(k4_ordinal1, A, B)) & k2_mesfunc5(k2_dblseq_3(k4_ordinal1, A, B))=k2_supinf_1) ) ) ) ) ) ) ).
fof(t23_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) &  (v3_mesfunc5(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) &  (v3_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) ) )  =>  ( (v7_mesfunc5(A) & v7_mesfunc5(B))  =>  (v7_mesfunc5(k2_dblseq_3(k4_ordinal1, A, B)) &  (v10_mesfunc5(k2_dblseq_3(k4_ordinal1, A, B)) & k2_mesfunc5(k2_dblseq_3(k4_ordinal1, A, B))=k3_supinf_2(k2_mesfunc5(A), k2_mesfunc5(B))) ) ) ) ) ) ) ).
fof(t24_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) &  (v4_mesfunc5(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) &  (v4_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) ) )  =>  ( ( (v8_mesfunc5(A) & v8_mesfunc5(B))  =>  (v8_mesfunc5(k3_dblseq_3(k4_ordinal1, A, B)) &  (v10_mesfunc5(k3_dblseq_3(k4_ordinal1, A, B)) & k2_mesfunc5(k3_dblseq_3(k4_ordinal1, A, B))=k1_supinf_1) ) )  &  ( ( (v8_mesfunc5(A) & v7_mesfunc5(B))  =>  (v8_mesfunc5(k3_dblseq_3(k4_ordinal1, A, B)) &  (v10_mesfunc5(k3_dblseq_3(k4_ordinal1, A, B)) & k2_mesfunc5(k3_dblseq_3(k4_ordinal1, A, B))=k1_supinf_1) ) )  &  ( ( (v9_mesfunc5(A) & v9_mesfunc5(B))  =>  (v9_mesfunc5(k3_dblseq_3(k4_ordinal1, A, B)) &  (v10_mesfunc5(k3_dblseq_3(k4_ordinal1, A, B)) & k2_mesfunc5(k3_dblseq_3(k4_ordinal1, A, B))=k2_supinf_1) ) )  &  ( ( (v9_mesfunc5(A) & v7_mesfunc5(B))  =>  (v9_mesfunc5(k3_dblseq_3(k4_ordinal1, A, B)) &  (v10_mesfunc5(k3_dblseq_3(k4_ordinal1, A, B)) & k2_mesfunc5(k3_dblseq_3(k4_ordinal1, A, B))=k2_supinf_1) ) )  &  ( (v7_mesfunc5(A) & v7_mesfunc5(B))  =>  (v7_mesfunc5(k3_dblseq_3(k4_ordinal1, A, B)) &  (v10_mesfunc5(k3_dblseq_3(k4_ordinal1, A, B)) & k2_mesfunc5(k3_dblseq_3(k4_ordinal1, A, B))=k3_supinf_2(k2_mesfunc5(A), k2_mesfunc5(B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) &  (v3_mesfunc5(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) &  (v4_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) ) )  =>  ( ( (v8_mesfunc5(A) & v9_mesfunc5(B))  =>  (v8_mesfunc5(k4_dblseq_3(k4_ordinal1, A, B)) &  (v10_mesfunc5(k4_dblseq_3(k4_ordinal1, A, B)) &  (v9_mesfunc5(k5_dblseq_3(k4_ordinal1, B, A)) &  (v10_mesfunc5(k5_dblseq_3(k4_ordinal1, B, A)) &  (k2_mesfunc5(k4_dblseq_3(k4_ordinal1, A, B))=k1_supinf_1 & k2_mesfunc5(k5_dblseq_3(k4_ordinal1, B, A))=k2_supinf_1) ) ) ) ) )  &  ( ( (v8_mesfunc5(A) & v7_mesfunc5(B))  =>  (v8_mesfunc5(k4_dblseq_3(k4_ordinal1, A, B)) &  (v10_mesfunc5(k4_dblseq_3(k4_ordinal1, A, B)) &  (v9_mesfunc5(k5_dblseq_3(k4_ordinal1, B, A)) &  (v10_mesfunc5(k5_dblseq_3(k4_ordinal1, B, A)) &  (k2_mesfunc5(k4_dblseq_3(k4_ordinal1, A, B))=k1_supinf_1 & k2_mesfunc5(k5_dblseq_3(k4_ordinal1, B, A))=k2_supinf_1) ) ) ) ) )  &  ( ( (v9_mesfunc5(A) & v7_mesfunc5(B))  =>  (v9_mesfunc5(k4_dblseq_3(k4_ordinal1, A, B)) &  (v10_mesfunc5(k4_dblseq_3(k4_ordinal1, A, B)) &  (v8_mesfunc5(k5_dblseq_3(k4_ordinal1, B, A)) &  (v10_mesfunc5(k5_dblseq_3(k4_ordinal1, B, A)) &  (k2_mesfunc5(k4_dblseq_3(k4_ordinal1, A, B))=k2_supinf_1 & k2_mesfunc5(k5_dblseq_3(k4_ordinal1, B, A))=k1_supinf_1) ) ) ) ) )  &  ( (v7_mesfunc5(A) & v7_mesfunc5(B))  =>  (v7_mesfunc5(k4_dblseq_3(k4_ordinal1, A, B)) &  (v10_mesfunc5(k4_dblseq_3(k4_ordinal1, A, B)) &  (v7_mesfunc5(k5_dblseq_3(k4_ordinal1, B, A)) &  (v10_mesfunc5(k5_dblseq_3(k4_ordinal1, B, A)) &  (k2_mesfunc5(k4_dblseq_3(k4_ordinal1, A, B))=k4_supinf_2(k2_mesfunc5(A), k2_mesfunc5(B)) & k2_mesfunc5(k5_dblseq_3(k4_ordinal1, B, A))=k4_supinf_2(k2_mesfunc5(B), k2_mesfunc5(A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( (m2_valued_0(B, k6_numbers, A) & v7_mesfunc5(A))  =>  (v7_mesfunc5(B) & k2_mesfunc5(A)=k2_mesfunc5(B)) ) ) ) ) ) ).
fof(t27_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( (m2_valued_0(B, k6_numbers, A) & v8_mesfunc5(A))  =>  (v8_mesfunc5(B) & k2_mesfunc5(B)=k1_supinf_1) ) ) ) ) ) ).
fof(t28_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( (m2_valued_0(B, k6_numbers, A) & v9_mesfunc5(A))  =>  (v9_mesfunc5(B) & k2_mesfunc5(B)=k2_supinf_1) ) ) ) ) ) ).
fof(t29_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v2_comseq_2(k2_dblseq_1(A)) => k4_dblseq_1(A)=k1_seq_2(k2_dblseq_1(A))) ) ) ).
fof(t30_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_numbers)))) )  =>  (v2_comseq_2(k3_dblseq_1(A)) => k5_dblseq_1(A)=k1_seq_2(k3_dblseq_1(A))) ) ) ).
fof(d1_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (v1_dblseq_3(A) <=>  (? [B] :  (v1_xreal_0(B) &  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(D, F) & r1_xxreal_0(C, k3_extreal1(k3_xxreal_3(k6_dblseq_3(A, E, F), B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (v2_dblseq_3(A) <=>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  (! [C] :  (v7_ordinal1(C) =>  (? [D] :  (v7_ordinal1(D) &  (? [E] :  (v7_ordinal1(E) &  (r1_xxreal_0(C, D) &  (r1_xxreal_0(C, E) &  ~ (r1_xxreal_0(B, k6_dblseq_3(A, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (v3_dblseq_3(A) <=>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(k5_numbers, B))  &  (! [C] :  (v7_ordinal1(C) =>  (? [D] :  (v7_ordinal1(D) &  (? [E] :  (v7_ordinal1(E) &  (r1_xxreal_0(C, D) &  (r1_xxreal_0(C, E) &  ~ (r1_xxreal_0(k6_dblseq_3(A, D, E), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (v4_dblseq_3(A) <=>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => v8_mesfunc5(k6_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, A, B))) ) ) ) ) ).
fof(d5_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (v5_dblseq_3(A) <=>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => v9_mesfunc5(k6_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, A, B))) ) ) ) ) ).
fof(d6_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (v6_dblseq_3(A) <=>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => v7_mesfunc5(k6_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, A, B))) ) ) ) ) ).
fof(d7_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (v7_dblseq_3(A) <=>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => v10_mesfunc5(k6_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, A, B))) ) ) ) ) ).
fof(d8_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (v8_dblseq_3(A) <=>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => v8_mesfunc5(k5_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, A, B))) ) ) ) ) ).
fof(d9_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (v9_dblseq_3(A) <=>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => v9_mesfunc5(k5_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, A, B))) ) ) ) ) ).
fof(d10_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (v10_dblseq_3(A) <=>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => v7_mesfunc5(k5_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, A, B))) ) ) ) ) ).
fof(d11_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (v11_dblseq_3(A) <=>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => v10_mesfunc5(k5_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, A, B))) ) ) ) ) ).
fof(t31_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  ( ( ~ ( ( ~ (v4_dblseq_3(A))  &  ( ~ (v5_dblseq_3(A))  &  ~ (v6_dblseq_3(A)) ) ) )  => v7_dblseq_3(A))  &  ( ~ ( ( ~ (v8_dblseq_3(A))  &  ( ~ (v9_dblseq_3(A))  &  ~ (v10_dblseq_3(A)) ) ) )  => v11_dblseq_3(A)) ) ) ) ).
fof(t32_dblseq_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [E] :  (m1_subset_1(E, A) => r2_funct_2(B, C, k5_mesfunc9(A, B, C, D, E), k6_mesfunc9(B, A, C, k13_funct_4(A, B, C, D), E))) ) ) ) ) ) ) ) ) ) ).
fof(t33_dblseq_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [E] :  (m1_subset_1(E, B) => r2_funct_2(A, C, k6_mesfunc9(A, B, C, D, E), k5_mesfunc9(B, A, C, k13_funct_4(A, B, C, D), E))) ) ) ) ) ) ) ) ) ) ).
fof(t34_dblseq_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers)))) )  =>  (! [D] :  (m1_subset_1(D, A) => r2_funct_2(B, k6_numbers, k5_mesfunc9(A, B, k6_numbers, k1_dblseq_3(k2_zfmisc_1(A, B), C), D), k1_dblseq_3(B, k5_mesfunc9(A, B, k6_numbers, C, D)))) ) ) ) ) ) ) ) ).
fof(t35_dblseq_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers)))) )  =>  (! [D] :  (m1_subset_1(D, B) => r2_funct_2(A, k6_numbers, k6_mesfunc9(A, B, k6_numbers, k1_dblseq_3(k2_zfmisc_1(A, B), C), D), k1_dblseq_3(A, k6_mesfunc9(A, B, k6_numbers, C, D)))) ) ) ) ) ) ) ) ).
fof(t36_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  ( (v4_dblseq_3(A) => v8_dblseq_3(k13_funct_4(k4_ordinal1, k4_ordinal1, k6_numbers, A)))  &  ( (v8_dblseq_3(k13_funct_4(k4_ordinal1, k4_ordinal1, k6_numbers, A)) => v4_dblseq_3(A))  &  ( (v8_dblseq_3(A) => v4_dblseq_3(k13_funct_4(k4_ordinal1, k4_ordinal1, k6_numbers, A)))  &  ( (v4_dblseq_3(k13_funct_4(k4_ordinal1, k4_ordinal1, k6_numbers, A)) => v8_dblseq_3(A))  &  ( (v5_dblseq_3(A) => v9_dblseq_3(k13_funct_4(k4_ordinal1, k4_ordinal1, k6_numbers, A)))  &  ( (v9_dblseq_3(k13_funct_4(k4_ordinal1, k4_ordinal1, k6_numbers, A)) => v5_dblseq_3(A))  &  ( (v9_dblseq_3(A) => v5_dblseq_3(k13_funct_4(k4_ordinal1, k4_ordinal1, k6_numbers, A)))  &  ( (v5_dblseq_3(k13_funct_4(k4_ordinal1, k4_ordinal1, k6_numbers, A)) => v9_dblseq_3(A))  &  ( (v6_dblseq_3(A) => v10_dblseq_3(k13_funct_4(k4_ordinal1, k4_ordinal1, k6_numbers, A)))  &  ( (v10_dblseq_3(k13_funct_4(k4_ordinal1, k4_ordinal1, k6_numbers, A)) => v6_dblseq_3(A))  &  ( (v10_dblseq_3(A) => v6_dblseq_3(k13_funct_4(k4_ordinal1, k4_ordinal1, k6_numbers, A)))  &  (v6_dblseq_3(k13_funct_4(k4_ordinal1, k4_ordinal1, k6_numbers, A)) => v10_dblseq_3(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  ( (v4_dblseq_3(A) => v5_dblseq_3(k1_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A)))  &  ( (v5_dblseq_3(k1_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A)) => v4_dblseq_3(A))  &  ( (v5_dblseq_3(A) => v4_dblseq_3(k1_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A)))  &  ( (v4_dblseq_3(k1_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A)) => v5_dblseq_3(A))  &  ( (v6_dblseq_3(A) => v6_dblseq_3(k1_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A)))  &  ( (v6_dblseq_3(k1_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A)) => v6_dblseq_3(A))  &  ( (v8_dblseq_3(A) => v9_dblseq_3(k1_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A)))  &  ( (v9_dblseq_3(k1_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A)) => v8_dblseq_3(A))  &  ( (v9_dblseq_3(A) => v8_dblseq_3(k1_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A)))  &  ( (v8_dblseq_3(k1_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A)) => v9_dblseq_3(A))  &  ( (v10_dblseq_3(A) => v10_dblseq_3(k1_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A)))  &  (v10_dblseq_3(k1_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A)) => v10_dblseq_3(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (B=k7_dblseq_3(A) <=>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => k12_supinf_2(B, C)=k2_mesfunc5(k6_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, A, C))) ) ) ) ) ) ) ).
fof(d13_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (B=k8_dblseq_3(A) <=>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => k12_supinf_2(B, C)=k2_mesfunc5(k5_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, A, C))) ) ) ) ) ) ) ).
fof(t38_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (r2_funct_2(k4_ordinal1, k6_numbers, k7_dblseq_3(A), k8_dblseq_3(k13_funct_4(k4_ordinal1, k4_ordinal1, k6_numbers, A))) & r2_funct_2(k4_ordinal1, k6_numbers, k8_dblseq_3(A), k7_dblseq_3(k13_funct_4(k4_ordinal1, k4_ordinal1, k6_numbers, A)))) ) ) ).
fof(d14_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (B=k9_dblseq_3(A) <=>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (k6_dblseq_3(B, C, k5_numbers)=k6_dblseq_3(A, C, k5_numbers) & k6_dblseq_3(B, C, k1_nat_1(D, 1))=k3_supinf_2(k6_dblseq_3(B, C, D), k6_dblseq_3(A, C, k1_nat_1(D, 1)))) ) ) ) ) ) ) ) ) ) ).
fof(d15_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (B=k10_dblseq_3(A) <=>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (k6_dblseq_3(B, k5_numbers, D)=k6_dblseq_3(A, k5_numbers, D) & k6_dblseq_3(B, k1_nat_1(C, 1), D)=k3_supinf_2(k6_dblseq_3(B, C, D), k6_dblseq_3(A, k1_nat_1(C, 1), D))) ) ) ) ) ) ) ) ) ) ).
fof(d16_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  => k11_dblseq_3(A)=k9_dblseq_3(k10_dblseq_3(A))) ) ).
fof(t39_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (k6_dblseq_3(k10_dblseq_3(A), B, C)=k6_dblseq_3(k9_dblseq_3(k13_funct_4(k4_ordinal1, k4_ordinal1, k6_numbers, A)), C, B) & k6_dblseq_3(k9_dblseq_3(A), B, C)=k6_dblseq_3(k10_dblseq_3(k13_funct_4(k4_ordinal1, k4_ordinal1, k6_numbers, A)), C, B)) ) ) ) ) ) ) ).
fof(t40_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (r2_funct_2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers, k13_funct_4(k4_ordinal1, k4_ordinal1, k6_numbers, k10_dblseq_3(A)), k9_dblseq_3(k13_funct_4(k4_ordinal1, k4_ordinal1, k6_numbers, A))) & r2_funct_2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers, k13_funct_4(k4_ordinal1, k4_ordinal1, k6_numbers, k9_dblseq_3(A)), k10_dblseq_3(k13_funct_4(k4_ordinal1, k4_ordinal1, k6_numbers, A)))) ) ) ).
fof(t41_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v2_valued_0(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( (! [D] :  (v7_ordinal1(D) => k6_dblseq_3(k10_dblseq_3(A), C, D)=k12_supinf_2(B, D)) )  =>  ( (! [D] :  (v7_ordinal1(D) => k6_dblseq_3(k11_dblseq_3(A), C, D)=k12_supinf_2(k1_mesfunc9(B), D)) )  & k12_supinf_2(k8_dblseq_3(k11_dblseq_3(A)), C)=k2_mesfunc9(B)) ) ) ) ) ) ) ) ).
fof(t42_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (r2_funct_2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers, k9_dblseq_3(k1_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A)), k1_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k9_dblseq_3(A))) & r2_funct_2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers, k10_dblseq_3(k1_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A)), k1_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k10_dblseq_3(A)))) ) ) ).
fof(t43_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (k6_dblseq_3(k10_dblseq_3(A), B, C)=k12_supinf_2(k1_mesfunc9(k6_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, A, C)), B) & k6_dblseq_3(k9_dblseq_3(A), B, C)=k12_supinf_2(k1_mesfunc9(k5_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, A, B)), C)) ) ) ) ) ) ) ).
fof(t44_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v3_mesfunc5(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v3_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (r2_funct_2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers, k9_dblseq_3(k2_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A, B)), k2_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k9_dblseq_3(A), k9_dblseq_3(B))) & r2_funct_2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers, k10_dblseq_3(k2_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A, B)), k2_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k10_dblseq_3(A), k10_dblseq_3(B)))) ) ) ) ) ).
fof(t45_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v4_mesfunc5(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v4_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (r2_funct_2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers, k9_dblseq_3(k3_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A, B)), k3_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k9_dblseq_3(A), k9_dblseq_3(B))) & r2_funct_2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers, k10_dblseq_3(k3_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A, B)), k3_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k10_dblseq_3(A), k10_dblseq_3(B)))) ) ) ) ) ).
fof(t46_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v3_mesfunc5(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v4_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (r2_funct_2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers, k9_dblseq_3(k4_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A, B)), k4_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k9_dblseq_3(A), k9_dblseq_3(B))) &  (r2_funct_2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers, k10_dblseq_3(k4_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A, B)), k4_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k10_dblseq_3(A), k10_dblseq_3(B))) &  (r2_funct_2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers, k9_dblseq_3(k5_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), B, A)), k5_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k9_dblseq_3(B), k9_dblseq_3(A))) & r2_funct_2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers, k10_dblseq_3(k5_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), B, A)), k5_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k10_dblseq_3(B), k10_dblseq_3(A)))) ) ) ) ) ) ) ).
fof(t47_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v3_mesfunc5(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (k6_dblseq_3(k11_dblseq_3(A), k1_nat_1(B, 1), C)=k3_supinf_2(k6_dblseq_3(k9_dblseq_3(A), k1_nat_1(B, 1), C), k6_dblseq_3(k11_dblseq_3(A), B, C)) & k6_dblseq_3(k10_dblseq_3(k9_dblseq_3(A)), B, k1_nat_1(C, 1))=k3_supinf_2(k6_dblseq_3(k10_dblseq_3(A), B, k1_nat_1(C, 1)), k6_dblseq_3(k10_dblseq_3(k9_dblseq_3(A)), B, C))) ) ) ) ) ) ) ).
fof(t48_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v4_mesfunc5(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (k6_dblseq_3(k11_dblseq_3(A), k1_nat_1(B, 1), C)=k3_supinf_2(k6_dblseq_3(k9_dblseq_3(A), k1_nat_1(B, 1), C), k6_dblseq_3(k11_dblseq_3(A), B, C)) & k6_dblseq_3(k10_dblseq_3(k9_dblseq_3(A)), B, k1_nat_1(C, 1))=k3_supinf_2(k6_dblseq_3(k10_dblseq_3(A), B, k1_nat_1(C, 1)), k6_dblseq_3(k10_dblseq_3(k9_dblseq_3(A)), B, C))) ) ) ) ) ) ) ).
fof(t49_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  ( (v3_mesfunc5(A) | v4_mesfunc5(A))  => r2_funct_2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers, k11_dblseq_3(A), k10_dblseq_3(k9_dblseq_3(A)))) ) ) ).
fof(t50_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v3_mesfunc5(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v3_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  => r2_relset_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers, k11_dblseq_3(k2_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A, B)), k3_mesfunc1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k11_dblseq_3(A), k11_dblseq_3(B)))) ) ) ) ).
fof(t51_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v4_mesfunc5(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v4_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  => r2_relset_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers, k11_dblseq_3(k3_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A, B)), k3_mesfunc1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k11_dblseq_3(A), k11_dblseq_3(B)))) ) ) ) ).
fof(t52_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v3_mesfunc5(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v4_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (r2_relset_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers, k11_dblseq_3(k4_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), A, B)), k4_mesfunc1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k11_dblseq_3(A), k11_dblseq_3(B))) & r2_relset_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers, k11_dblseq_3(k5_dblseq_3(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), B, A)), k4_mesfunc1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k11_dblseq_3(B), k11_dblseq_3(A)))) ) ) ) ) ).
fof(t53_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (r2_funct_2(k4_ordinal1, k6_numbers, k6_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, k10_dblseq_3(A), B), k1_mesfunc9(k6_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, A, B))) & r2_funct_2(k4_ordinal1, k6_numbers, k5_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, k9_dblseq_3(A), B), k1_mesfunc9(k5_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, A, B)))) ) ) ) ) ).
fof(t54_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  ( (v3_mesfunc5(A) | v4_mesfunc5(A))  =>  (r2_funct_2(k4_ordinal1, k6_numbers, k5_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, k11_dblseq_3(A), k5_numbers), k5_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, k9_dblseq_3(A), k5_numbers)) & r2_funct_2(k4_ordinal1, k6_numbers, k6_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, k11_dblseq_3(A), k5_numbers), k6_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, k10_dblseq_3(A), k5_numbers))) ) ) ) ).
fof(t55_dblseq_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k6_numbers) &  (v3_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k6_numbers) &  (v3_mesfunc5(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers)))) ) )  =>  (! [E] :  (m1_subset_1(E, A) => r2_funct_2(B, k6_numbers, k5_mesfunc9(A, B, k6_numbers, k2_dblseq_3(k2_zfmisc_1(A, B), C, D), E), k2_dblseq_3(B, k5_mesfunc9(A, B, k6_numbers, C, E), k5_mesfunc9(A, B, k6_numbers, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t56_dblseq_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k6_numbers) &  (v3_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k6_numbers) &  (v3_mesfunc5(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers)))) ) )  =>  (! [E] :  (m1_subset_1(E, B) => r2_funct_2(A, k6_numbers, k6_mesfunc9(A, B, k6_numbers, k2_dblseq_3(k2_zfmisc_1(A, B), C, D), E), k2_dblseq_3(A, k6_mesfunc9(A, B, k6_numbers, C, E), k6_mesfunc9(A, B, k6_numbers, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t57_dblseq_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k6_numbers) &  (v4_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k6_numbers) &  (v4_mesfunc5(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers)))) ) )  =>  (! [E] :  (m1_subset_1(E, A) => r2_funct_2(B, k6_numbers, k5_mesfunc9(A, B, k6_numbers, k3_dblseq_3(k2_zfmisc_1(A, B), C, D), E), k3_dblseq_3(B, k5_mesfunc9(A, B, k6_numbers, C, E), k5_mesfunc9(A, B, k6_numbers, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t58_dblseq_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k6_numbers) &  (v4_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k6_numbers) &  (v4_mesfunc5(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers)))) ) )  =>  (! [E] :  (m1_subset_1(E, B) => r2_funct_2(A, k6_numbers, k6_mesfunc9(A, B, k6_numbers, k3_dblseq_3(k2_zfmisc_1(A, B), C, D), E), k3_dblseq_3(A, k6_mesfunc9(A, B, k6_numbers, C, E), k6_mesfunc9(A, B, k6_numbers, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t59_dblseq_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k6_numbers) &  (v3_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k6_numbers) &  (v4_mesfunc5(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers)))) ) )  =>  (! [E] :  (m1_subset_1(E, A) =>  (r2_funct_2(B, k6_numbers, k5_mesfunc9(A, B, k6_numbers, k4_dblseq_3(k2_zfmisc_1(A, B), C, D), E), k4_dblseq_3(B, k5_mesfunc9(A, B, k6_numbers, C, E), k5_mesfunc9(A, B, k6_numbers, D, E))) & r2_funct_2(B, k6_numbers, k5_mesfunc9(A, B, k6_numbers, k5_dblseq_3(k2_zfmisc_1(A, B), D, C), E), k5_dblseq_3(B, k5_mesfunc9(A, B, k6_numbers, D, E), k5_mesfunc9(A, B, k6_numbers, C, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_dblseq_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k6_numbers) &  (v3_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k6_numbers) &  (v4_mesfunc5(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers)))) ) )  =>  (! [E] :  (m1_subset_1(E, B) =>  (r2_funct_2(A, k6_numbers, k6_mesfunc9(A, B, k6_numbers, k4_dblseq_3(k2_zfmisc_1(A, B), C, D), E), k4_dblseq_3(A, k6_mesfunc9(A, B, k6_numbers, C, E), k6_mesfunc9(A, B, k6_numbers, D, E))) & r2_funct_2(A, k6_numbers, k6_mesfunc9(A, B, k6_numbers, k5_dblseq_3(k2_zfmisc_1(A, B), D, C), E), k5_dblseq_3(A, k6_mesfunc9(A, B, k6_numbers, D, E), k6_mesfunc9(A, B, k6_numbers, C, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) &  (v6_supinf_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) ) )  =>  ( ~ (v8_mesfunc5(k1_mesfunc9(A)))  =>  (! [B] :  (v7_ordinal1(B) => v1_xreal_0(k12_supinf_2(A, B))) ) ) ) ) ).
fof(t62_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) &  (v6_supinf_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) ) )  =>  ~ ( (v7_valued_0(A) &  ( ~ (v8_mesfunc5(A))  &  ~ (v7_mesfunc5(A)) ) ) ) ) ) ).
fof(t63_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v6_supinf_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => v7_valued_0(k5_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, k9_dblseq_3(A), B))) ) ) ) ).
fof(t64_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v6_supinf_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => v7_valued_0(k6_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, k10_dblseq_3(A), B))) ) ) ) ).
fof(t65_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v6_supinf_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  ( (v7_dblseq_3(A) => v6_supinf_2(k7_dblseq_3(A)))  &  (v11_dblseq_3(A) => v6_supinf_2(k8_dblseq_3(A))) ) ) ) ).
fof(t66_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v6_supinf_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (v7_dblseq_3(k10_dblseq_3(A)) & v11_dblseq_3(k9_dblseq_3(A))) ) ) ).
fof(t67_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v6_supinf_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ( ~ (v8_mesfunc5(k6_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, k10_dblseq_3(A), B)))  =>  (! [C] :  (v7_ordinal1(C) => v1_xreal_0(k6_dblseq_3(A, C, B))) ) ) ) ) ) ) ).
fof(t68_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v6_supinf_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ( ~ (v8_mesfunc5(k5_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, k9_dblseq_3(A), B)))  =>  (! [C] :  (v7_ordinal1(C) => v1_xreal_0(k6_dblseq_3(A, B, C))) ) ) ) ) ) ) ).
fof(t69_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v6_supinf_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(D, B) => v1_xreal_0(k6_dblseq_3(A, D, C))) ) )  & r1_xxreal_0(k1_supinf_1, k6_dblseq_3(k10_dblseq_3(A), B, C))) ) ) ) ) ) ) ) ).
fof(t70_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v6_supinf_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(D, C) => v1_xreal_0(k6_dblseq_3(A, B, D))) ) )  & r1_xxreal_0(k1_supinf_1, k6_dblseq_3(k9_dblseq_3(A), B, C))) ) ) ) ) ) ) ) ).
fof(t71_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v3_mesfunc5(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  ~ ( (v5_dblseq_3(k11_dblseq_3(A)) &  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ~ (v9_mesfunc5(k6_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, k10_dblseq_3(A), B))) ) ) ) ) ) ) ).
fof(t72_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v6_supinf_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ ( (r1_xxreal_0(C, B) & v8_mesfunc5(k5_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, k9_dblseq_3(A), C))) ) ) )  <=>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ ( (r1_xxreal_0(C, B) & r1_xxreal_0(k1_supinf_1, k2_mesfunc5(k5_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, k9_dblseq_3(A), C)))) ) ) ) ) ) ) ) ) ).
fof(t73_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v6_supinf_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ ( (r1_xxreal_0(C, B) & v8_mesfunc5(k6_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, k10_dblseq_3(A), C))) ) ) )  <=>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ ( (r1_xxreal_0(C, B) & r1_xxreal_0(k1_supinf_1, k2_mesfunc5(k6_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, k10_dblseq_3(A), C)))) ) ) ) ) ) ) ) ) ).
fof(t74_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v6_supinf_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (k12_supinf_2(k1_mesfunc9(k8_dblseq_3(k9_dblseq_3(A))), B)=k1_supinf_1 <=>  (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (r1_xxreal_0(C, B) & v8_mesfunc5(k5_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, k9_dblseq_3(A), C))) ) ) ) ) ) ) ) ).
fof(t75_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v6_supinf_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (k12_supinf_2(k1_mesfunc9(k7_dblseq_3(k10_dblseq_3(A))), B)=k1_supinf_1 <=>  (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (r1_xxreal_0(C, B) & v8_mesfunc5(k6_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, k10_dblseq_3(A), C))) ) ) ) ) ) ) ) ).
fof(t76_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v6_supinf_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(k6_dblseq_3(A, B, C), k6_dblseq_3(k10_dblseq_3(A), B, C)) & r1_xxreal_0(k6_dblseq_3(A, B, C), k6_dblseq_3(k9_dblseq_3(A), B, C))) ) ) ) ) ) ) ).
fof(t77_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v6_supinf_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ( (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (r1_xxreal_0(C, B) & v8_mesfunc5(k5_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, k9_dblseq_3(A), C))) ) )  =>  (v8_mesfunc5(k5_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, k9_dblseq_3(k10_dblseq_3(A)), B)) & k2_mesfunc5(k5_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, k9_dblseq_3(k10_dblseq_3(A)), B))=k1_supinf_1) ) ) ) ) ) ).
fof(t78_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v6_supinf_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ( (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (r1_xxreal_0(C, B) & v8_mesfunc5(k6_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, k10_dblseq_3(A), C))) ) )  =>  (v8_mesfunc5(k6_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, k10_dblseq_3(k9_dblseq_3(A)), B)) & k2_mesfunc5(k6_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, k10_dblseq_3(k9_dblseq_3(A)), B))=k1_supinf_1) ) ) ) ) ) ).
fof(t79_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v3_mesfunc5(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (v6_dblseq_3(k11_dblseq_3(A)) <=> v6_dblseq_3(k10_dblseq_3(A))) ) ) ).
fof(t80_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v6_supinf_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (v6_dblseq_3(k11_dblseq_3(A)) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k12_supinf_2(k1_mesfunc9(k7_dblseq_3(k10_dblseq_3(A))), B)=k2_mesfunc5(k6_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, k10_dblseq_3(k9_dblseq_3(A)), B))) ) ) ) ) ).
fof(t81_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v3_mesfunc5(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (v10_dblseq_3(k11_dblseq_3(A)) <=> v10_dblseq_3(k9_dblseq_3(A))) ) ) ).
fof(t82_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v6_supinf_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (v10_dblseq_3(k11_dblseq_3(A)) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k12_supinf_2(k1_mesfunc9(k8_dblseq_3(k9_dblseq_3(A))), B)=k2_mesfunc5(k5_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, k9_dblseq_3(k10_dblseq_3(A)), B))) ) ) ) ) ).
fof(t83_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v6_supinf_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( (! [C] :  (m1_subset_1(C, k4_ordinal1) => k12_supinf_2(B, C)=k6_rinfsup2(k6_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, A, C))) )  => r1_xxreal_0(k2_mesfunc9(B), k6_rinfsup2(k8_dblseq_3(k9_dblseq_3(A))))) ) ) ) ) ).
fof(t84_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v6_supinf_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( (! [C] :  (m1_subset_1(C, k4_ordinal1) => k12_supinf_2(B, C)=k6_rinfsup2(k5_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, A, C))) )  => r1_xxreal_0(k2_mesfunc9(B), k6_rinfsup2(k7_dblseq_3(k10_dblseq_3(A))))) ) ) ) ) ).
fof(t85_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( ( (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) => r1_xxreal_0(k6_dblseq_3(A, E, F), k12_supinf_2(B, E))) ) ) )  => r1_xxreal_0(k6_dblseq_3(k10_dblseq_3(A), C, D), k12_supinf_2(k1_mesfunc9(B), C)))  &  ( (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) => r1_xxreal_0(k6_dblseq_3(A, E, F), k12_supinf_2(B, F))) ) ) )  => r1_xxreal_0(k6_dblseq_3(k9_dblseq_3(A), C, D), k12_supinf_2(k1_mesfunc9(B), D))) ) ) ) ) ) ) ) ) ) ).
fof(t86_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  (m1_subset_1(B, k6_numbers) =>  ( (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k12_supinf_2(A, C), B)) )  => r1_xxreal_0(k5_rinfsup2(A), B)) ) ) ) ) ).
fof(t87_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  (m1_subset_1(B, k6_numbers) =>  ( (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(B, k12_supinf_2(A, C))) )  => r1_xxreal_0(B, k6_rinfsup2(A))) ) ) ) ) ).
fof(t88_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v6_supinf_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  ( (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(B, C) => r1_xxreal_0(k6_dblseq_3(k10_dblseq_3(A), B, D), k6_dblseq_3(k10_dblseq_3(A), C, D))) ) ) ) ) ) )  &  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(C, D) => r1_xxreal_0(k6_dblseq_3(k9_dblseq_3(A), B, C), k6_dblseq_3(k9_dblseq_3(A), B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t89_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( ( (! [E] :  (m1_subset_1(E, k4_ordinal1) => v7_valued_0(k6_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, A, E))) )  & r1_xxreal_0(B, C))  => r1_xxreal_0(k6_dblseq_3(k9_dblseq_3(A), B, D), k6_dblseq_3(k9_dblseq_3(A), C, D))) ) ) ) ) ) ) ) ) ).
fof(t90_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( ( (! [E] :  (m1_subset_1(E, k4_ordinal1) => v7_valued_0(k5_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, A, E))) )  & r1_xxreal_0(B, C))  => r1_xxreal_0(k6_dblseq_3(k10_dblseq_3(A), D, B), k6_dblseq_3(k10_dblseq_3(A), D, C))) ) ) ) ) ) ) ) ) ).
fof(t91_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v6_supinf_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (v7_valued_0(k6_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, A, C)) & k12_supinf_2(B, C)=k2_mesfunc5(k6_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, A, C))) ) )  =>  (v7_valued_0(k8_dblseq_3(k9_dblseq_3(A))) & k2_mesfunc9(B)=k2_mesfunc5(k8_dblseq_3(k9_dblseq_3(A)))) ) ) ) ) ) ).
fof(t92_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v6_supinf_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (v7_valued_0(k5_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, A, C)) & k12_supinf_2(B, C)=k2_mesfunc5(k5_mesfunc9(k4_ordinal1, k4_ordinal1, k6_numbers, A, C))) ) )  =>  (v7_valued_0(k7_dblseq_3(k10_dblseq_3(A))) & k2_mesfunc9(B)=k2_mesfunc5(k7_dblseq_3(k10_dblseq_3(A)))) ) ) ) ) ) ).
fof(t93_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (v2_dblseq_3(A) =>  ( ~ (v3_dblseq_3(A))  &  ~ (v1_dblseq_3(A)) ) ) ) ) ).
fof(t94_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (v3_dblseq_3(A) =>  ( ~ (v2_dblseq_3(A))  &  ~ (v1_dblseq_3(A)) ) ) ) ) ).
fof(d17_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (v12_dblseq_3(A) <=>  ~ ( ( ~ (v1_dblseq_3(A))  &  ( ~ (v2_dblseq_3(A))  &  ~ (v3_dblseq_3(A)) ) ) ) ) ) ) ).
fof(d18_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (v12_dblseq_3(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (B=k12_dblseq_3(A) <=>  ~ ( ( (! [C] :  (v1_xreal_0(C) =>  ~ ( (B=C &  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v7_ordinal1(E) =>  (? [F] :  (v7_ordinal1(F) &  (? [G] :  (v7_ordinal1(G) &  (r1_xxreal_0(E, F) &  (r1_xxreal_0(E, G) & r1_xxreal_0(D, k3_extreal1(k3_xxreal_3(k6_dblseq_3(A, F, G), B)))) ) ) ) ) ) ) ) ) ) ) )  & v1_dblseq_3(A)) ) ) ) )  &  ( ~ ( (B=k1_supinf_1 & v2_dblseq_3(A)) )  &  ~ ( (B=k2_supinf_1 & v3_dblseq_3(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t95_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (! [B] :  (v1_xreal_0(B) =>  ( (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k6_dblseq_3(A, C, D)=B) ) ) )  =>  (v1_dblseq_3(A) & k12_dblseq_3(A)=B) ) ) ) ) ) ).
fof(t96_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  ( (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(B, D) & r1_xxreal_0(C, E))  => r1_xxreal_0(k6_dblseq_3(A, B, C), k6_dblseq_3(A, D, E))) ) ) ) ) ) ) ) )  =>  (v12_dblseq_3(A) & k12_dblseq_3(A)=k8_supinf_2(k2_relset_1(k6_numbers, A))) ) ) ) ).
fof(t97_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  ( (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k6_dblseq_3(A, C, D), k6_dblseq_3(B, C, D))) ) ) )  => r1_xxreal_0(k8_supinf_2(k2_relset_1(k6_numbers, A)), k8_supinf_2(k2_relset_1(k6_numbers, B)))) ) ) ) ) ).
fof(t98_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k6_dblseq_3(A, B, C), k8_supinf_2(k2_relset_1(k6_numbers, A)))) ) ) ) ) ) ).
fof(t99_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (! [B] :  (m1_subset_1(B, k6_numbers) =>  ( (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k6_dblseq_3(A, C, D), B)) ) ) )  => r1_xxreal_0(k8_supinf_2(k2_relset_1(k6_numbers, A)), B)) ) ) ) ) ).
fof(t100_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (! [B] :  (m1_subset_1(B, k6_numbers) =>  ~ ( ( ~ (B=k1_supinf_1)  &  ( (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k6_dblseq_3(A, C, D), B)) ) ) )  & r1_xxreal_0(k1_supinf_1, k8_supinf_2(k2_relset_1(k6_numbers, A)))) ) ) ) ) ) ) ).
fof(t101_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v3_mesfunc5(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  ( ~ ( ( ~ (k8_supinf_2(k2_relset_1(k6_numbers, A))=k1_supinf_1)  &  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k6_dblseq_3(A, C, D), B)) ) ) ) ) ) ) ) ) )  &  ~ ( ( (? [B] :  (v1_xreal_0(B) &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k6_dblseq_3(A, C, D), B)) ) ) ) ) ) )  & k8_supinf_2(k2_relset_1(k6_numbers, A))=k1_supinf_1) ) ) ) ) ).
fof(t102_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (! [B] :  (v1_xxreal_0(B) =>  ( (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k6_dblseq_3(A, C, D)=B) ) ) )  =>  (v12_dblseq_3(A) &  (k12_dblseq_3(A)=B & k12_dblseq_3(A)=k8_supinf_2(k2_relset_1(k6_numbers, A))) ) ) ) ) ) ) ).
fof(t103_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v3_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v3_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  ( ( (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ( (r1_xxreal_0(D, F) & r1_xxreal_0(E, G))  => r1_xxreal_0(k6_dblseq_3(B, D, E), k6_dblseq_3(B, F, G))) ) ) ) ) ) ) ) )  &  ( (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ( (r1_xxreal_0(D, F) & r1_xxreal_0(E, G))  => r1_xxreal_0(k6_dblseq_3(C, D, E), k6_dblseq_3(C, F, G))) ) ) ) ) ) ) ) )  &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) => k3_supinf_2(k6_dblseq_3(B, D, E), k6_dblseq_3(C, D, E))=k6_dblseq_3(A, D, E)) ) ) ) ) )  =>  (v12_dblseq_3(A) &  (k12_dblseq_3(A)=k8_supinf_2(k2_relset_1(k6_numbers, A)) &  (k12_dblseq_3(A)=k1_xxreal_3(k12_dblseq_3(B), k12_dblseq_3(C)) & k8_supinf_2(k2_relset_1(k6_numbers, A))=k3_supinf_2(k8_supinf_2(k2_relset_1(k6_numbers, B)), k8_supinf_2(k2_relset_1(k6_numbers, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t104_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v3_mesfunc5(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_xxreal_0(k5_numbers, C) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) => k6_dblseq_3(B, D, E)=k4_xxreal_3(C, k6_dblseq_3(A, D, E))) ) ) ) )  =>  (k8_supinf_2(k2_relset_1(k6_numbers, B))=k4_xxreal_3(C, k8_supinf_2(k2_relset_1(k6_numbers, A))) & v3_mesfunc5(B)) ) ) ) ) ) ) ) ).
fof(t105_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) &  (v3_mesfunc5(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_xxreal_0(k5_numbers, C) &  ( (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ( (r1_xxreal_0(D, F) & r1_xxreal_0(E, G))  => r1_xxreal_0(k6_dblseq_3(A, D, E), k6_dblseq_3(A, F, G))) ) ) ) ) ) ) ) )  &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) => k6_dblseq_3(B, D, E)=k4_xxreal_3(C, k6_dblseq_3(A, D, E))) ) ) ) ) )  =>  ( (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ( (r1_xxreal_0(D, F) & r1_xxreal_0(E, G))  => r1_xxreal_0(k6_dblseq_3(B, D, E), k6_dblseq_3(B, F, G))) ) ) ) ) ) ) ) )  &  (v3_mesfunc5(B) &  (v12_dblseq_3(B) &  (k12_dblseq_3(B)=k8_supinf_2(k2_relset_1(k6_numbers, B)) & k12_dblseq_3(B)=k4_xxreal_3(C, k12_dblseq_3(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_dblseq_3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) )  =>  (v1_funct_1(k1_dblseq_3(A, B)) &  (v1_funct_2(k1_dblseq_3(A, B), A, k6_numbers) & m1_subset_1(k1_dblseq_3(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ) ).
fof(redefinition_k1_dblseq_3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) )  => k1_dblseq_3(A, B)=k7_mesfunc1(A, B)) ) ).
fof(dt_k2_dblseq_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) &  (v3_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k6_numbers) &  (v3_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ) )  =>  (v1_funct_1(k2_dblseq_3(A, B, C)) &  (v1_funct_2(k2_dblseq_3(A, B, C), A, k6_numbers) &  (v3_mesfunc5(k2_dblseq_3(A, B, C)) & m1_subset_1(k2_dblseq_3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ) ) ).
fof(commutativity_k2_dblseq_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) &  (v3_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k6_numbers) &  (v3_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ) )  => k2_dblseq_3(A, B, C)=k2_dblseq_3(A, C, B)) ) ).
fof(redefinition_k2_dblseq_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) &  (v3_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k6_numbers) &  (v3_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ) )  => k2_dblseq_3(A, B, C)=k3_mesfunc1(A, B, C)) ) ).
fof(dt_k3_dblseq_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) &  (v4_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k6_numbers) &  (v4_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ) )  =>  (v1_funct_1(k3_dblseq_3(A, B, C)) &  (v1_funct_2(k3_dblseq_3(A, B, C), A, k6_numbers) &  (v4_mesfunc5(k3_dblseq_3(A, B, C)) & m1_subset_1(k3_dblseq_3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ) ) ).
fof(commutativity_k3_dblseq_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) &  (v4_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k6_numbers) &  (v4_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ) )  => k3_dblseq_3(A, B, C)=k3_dblseq_3(A, C, B)) ) ).
fof(redefinition_k3_dblseq_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) &  (v4_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k6_numbers) &  (v4_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ) )  => k3_dblseq_3(A, B, C)=k3_mesfunc1(A, B, C)) ) ).
fof(dt_k4_dblseq_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) &  (v3_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k6_numbers) &  (v4_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ) )  =>  (v1_funct_1(k4_dblseq_3(A, B, C)) &  (v1_funct_2(k4_dblseq_3(A, B, C), A, k6_numbers) &  (v3_mesfunc5(k4_dblseq_3(A, B, C)) & m1_subset_1(k4_dblseq_3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ) ) ).
fof(redefinition_k4_dblseq_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) &  (v3_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k6_numbers) &  (v4_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ) )  => k4_dblseq_3(A, B, C)=k4_mesfunc1(A, B, C)) ) ).
fof(dt_k5_dblseq_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) &  (v4_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k6_numbers) &  (v3_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ) )  =>  (v1_funct_1(k5_dblseq_3(A, B, C)) &  (v1_funct_2(k5_dblseq_3(A, B, C), A, k6_numbers) &  (v4_mesfunc5(k5_dblseq_3(A, B, C)) & m1_subset_1(k5_dblseq_3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ) ) ).
fof(redefinition_k5_dblseq_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) &  (v4_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k6_numbers) &  (v3_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ) )  => k5_dblseq_3(A, B, C)=k4_mesfunc1(A, B, C)) ) ).
fof(dt_k6_dblseq_3, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  &  (v7_ordinal1(B) & v7_ordinal1(C)) )  => m1_subset_1(k6_dblseq_3(A, B, C), k6_numbers)) ) ).
fof(redefinition_k6_dblseq_3, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  &  (v7_ordinal1(B) & v7_ordinal1(C)) )  => k6_dblseq_3(A, B, C)=k1_binop_1(A, B, C)) ) ).
fof(dt_k7_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (v1_funct_1(k7_dblseq_3(A)) &  (v1_funct_2(k7_dblseq_3(A), k4_ordinal1, k6_numbers) & m1_subset_1(k7_dblseq_3(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) ) ) ) ).
fof(dt_k8_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (v1_funct_1(k8_dblseq_3(A)) &  (v1_funct_2(k8_dblseq_3(A), k4_ordinal1, k6_numbers) & m1_subset_1(k8_dblseq_3(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) ) ) ) ).
fof(dt_k9_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (v1_funct_1(k9_dblseq_3(A)) &  (v1_funct_2(k9_dblseq_3(A), k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(k9_dblseq_3(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) ) ) ).
fof(dt_k10_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (v1_funct_1(k10_dblseq_3(A)) &  (v1_funct_2(k10_dblseq_3(A), k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(k10_dblseq_3(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) ) ) ).
fof(dt_k11_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  =>  (v1_funct_1(k11_dblseq_3(A)) &  (v1_funct_2(k11_dblseq_3(A), k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(k11_dblseq_3(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) ) ) ) ).
fof(dt_k12_dblseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k6_numbers)))) )  => v1_xxreal_0(k12_dblseq_3(A))) ) ).
fof(d1_decomp_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (m1_decomp_1(B, A) <=> r1_tarski(B, k1_tops_1(A, k2_pre_topc(A, k1_tops_1(A, B))))) ) ) ) ) ).
fof(d2_decomp_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_decomp_1(B, A) <=> r1_tarski(B, k2_pre_topc(A, k1_tops_1(A, B)))) ) ) ) ) ).
fof(d3_decomp_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_decomp_1(B, A) <=> r1_tarski(B, k1_tops_1(A, k2_pre_topc(A, B)))) ) ) ) ) ).
fof(d4_decomp_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_decomp_1(B, A) <=> r1_tarski(B, k2_pre_topc(A, k1_tops_1(A, k2_pre_topc(A, B))))) ) ) ) ) ).
fof(d5_decomp_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v4_decomp_1(B, A) <=> r1_tarski(B, k4_subset_1(u1_struct_0(A), k2_pre_topc(A, k1_tops_1(A, B)), k1_tops_1(A, k2_pre_topc(A, B))))) ) ) ) ) ).
fof(d6_decomp_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k1_decomp_1(A, B)=k9_subset_1(u1_struct_0(A), B, k2_pre_topc(A, k1_tops_1(A, B)))) ) ) ) ).
fof(d7_decomp_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k2_decomp_1(A, B)=k9_subset_1(u1_struct_0(A), B, k1_tops_1(A, k2_pre_topc(A, B)))) ) ) ) ).
fof(d8_decomp_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k3_decomp_1(A, B)=k9_subset_1(u1_struct_0(A), B, k1_tops_1(A, k2_pre_topc(A, k1_tops_1(A, B))))) ) ) ) ).
fof(d9_decomp_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k4_decomp_1(A, B)=k9_subset_1(u1_struct_0(A), B, k2_pre_topc(A, k1_tops_1(A, k2_pre_topc(A, B))))) ) ) ) ).
fof(d10_decomp_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k5_decomp_1(A, B)=k4_subset_1(u1_struct_0(A), k1_decomp_1(A, B), k2_decomp_1(A, B))) ) ) ) ).
fof(t1_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (k3_decomp_1(A, B)=k2_decomp_1(A, B) <=> k1_decomp_1(A, B)=k4_decomp_1(A, B)) ) ) ) ) ).
fof(t2_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (m1_decomp_1(B, A) <=> B=k3_decomp_1(A, B)) ) ) ) ) ).
fof(t3_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_decomp_1(B, A) <=> B=k1_decomp_1(A, B)) ) ) ) ) ).
fof(t4_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_decomp_1(B, A) <=> B=k2_decomp_1(A, B)) ) ) ) ) ).
fof(t5_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_decomp_1(B, A) <=> B=k4_decomp_1(A, B)) ) ) ) ) ).
fof(t6_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v4_decomp_1(B, A) <=> B=k5_decomp_1(A, B)) ) ) ) ) ).
fof(t7_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => k9_subset_1(k1_zfmisc_1(u1_struct_0(A)), k6_decomp_1(A), k11_decomp_1(A))=u1_pre_topc(A)) ) ).
fof(t8_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => k9_subset_1(k1_zfmisc_1(u1_struct_0(A)), k7_decomp_1(A), k13_decomp_1(A))=u1_pre_topc(A)) ) ).
fof(t9_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => k9_subset_1(k1_zfmisc_1(u1_struct_0(A)), k8_decomp_1(A), k12_decomp_1(A))=u1_pre_topc(A)) ) ).
fof(t10_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => k9_subset_1(k1_zfmisc_1(u1_struct_0(A)), k10_decomp_1(A), k14_decomp_1(A))=u1_pre_topc(A)) ) ).
fof(t11_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => k9_subset_1(k1_zfmisc_1(u1_struct_0(A)), k8_decomp_1(A), k15_decomp_1(A))=k6_decomp_1(A)) ) ).
fof(t12_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => k9_subset_1(k1_zfmisc_1(u1_struct_0(A)), k7_decomp_1(A), k16_decomp_1(A))=k6_decomp_1(A)) ) ).
fof(t13_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => k9_subset_1(k1_zfmisc_1(u1_struct_0(A)), k10_decomp_1(A), k17_decomp_1(A))=k6_decomp_1(A)) ) ).
fof(t14_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => k9_subset_1(k1_zfmisc_1(u1_struct_0(A)), k9_decomp_1(A), k18_decomp_1(A))=k8_decomp_1(A)) ) ).
fof(t15_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => k9_subset_1(k1_zfmisc_1(u1_struct_0(A)), k10_decomp_1(A), k19_decomp_1(A))=k8_decomp_1(A)) ) ).
fof(t16_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => k9_subset_1(k1_zfmisc_1(u1_struct_0(A)), k10_decomp_1(A), k15_decomp_1(A))=k7_decomp_1(A)) ) ).
fof(t17_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => k9_subset_1(k1_zfmisc_1(u1_struct_0(A)), k10_decomp_1(A), k20_decomp_1(A))=k9_decomp_1(A)) ) ).
fof(d26_decomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v5_decomp_1(C, A, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (v3_pre_topc(D, B) => r2_tarski(k8_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), k7_decomp_1(A))) ) ) ) ) ) ) ) ) ) ).
fof(d27_decomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v6_decomp_1(C, A, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (v3_pre_topc(D, B) => r2_tarski(k8_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), k8_decomp_1(A))) ) ) ) ) ) ) ) ) ) ).
fof(d28_decomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v7_decomp_1(C, A, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (v3_pre_topc(D, B) => r2_tarski(k8_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), k6_decomp_1(A))) ) ) ) ) ) ) ) ) ) ).
fof(d29_decomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v8_decomp_1(C, A, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (v3_pre_topc(D, B) => r2_tarski(k8_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), k10_decomp_1(A))) ) ) ) ) ) ) ) ) ) ).
fof(d30_decomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v9_decomp_1(C, A, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (v3_pre_topc(D, B) => r2_tarski(k8_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), k9_decomp_1(A))) ) ) ) ) ) ) ) ) ) ).
fof(d31_decomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v10_decomp_1(C, A, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (v3_pre_topc(D, B) => r2_tarski(k8_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), k11_decomp_1(A))) ) ) ) ) ) ) ) ) ) ).
fof(d32_decomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v11_decomp_1(C, A, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (v3_pre_topc(D, B) => r2_tarski(k8_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), k13_decomp_1(A))) ) ) ) ) ) ) ) ) ) ).
fof(d33_decomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v12_decomp_1(C, A, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (v3_pre_topc(D, B) => r2_tarski(k8_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), k12_decomp_1(A))) ) ) ) ) ) ) ) ) ) ).
fof(d34_decomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v13_decomp_1(C, A, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (v3_pre_topc(D, B) => r2_tarski(k8_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), k14_decomp_1(A))) ) ) ) ) ) ) ) ) ) ).
fof(d35_decomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v14_decomp_1(C, A, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (v3_pre_topc(D, B) => r2_tarski(k8_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), k15_decomp_1(A))) ) ) ) ) ) ) ) ) ) ).
fof(d36_decomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v15_decomp_1(C, A, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (v3_pre_topc(D, B) => r2_tarski(k8_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), k16_decomp_1(A))) ) ) ) ) ) ) ) ) ) ).
fof(d37_decomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v16_decomp_1(C, A, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (v3_pre_topc(D, B) => r2_tarski(k8_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), k17_decomp_1(A))) ) ) ) ) ) ) ) ) ) ).
fof(d38_decomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v17_decomp_1(C, A, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (v3_pre_topc(D, B) => r2_tarski(k8_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), k19_decomp_1(A))) ) ) ) ) ) ) ) ) ) ).
fof(d39_decomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v18_decomp_1(C, A, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (v3_pre_topc(D, B) => r2_tarski(k8_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), k18_decomp_1(A))) ) ) ) ) ) ) ) ) ) ).
fof(d40_decomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v19_decomp_1(C, A, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (v3_pre_topc(D, B) => r2_tarski(k8_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), k20_decomp_1(A))) ) ) ) ) ) ) ) ) ) ).
fof(t18_decomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v7_decomp_1(C, A, B) <=>  (v6_decomp_1(C, A, B) & v14_decomp_1(C, A, B)) ) ) ) ) ) ) ) ).
fof(t19_decomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v7_decomp_1(C, A, B) <=>  (v5_decomp_1(C, A, B) & v15_decomp_1(C, A, B)) ) ) ) ) ) ) ) ).
fof(t20_decomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v7_decomp_1(C, A, B) <=>  (v8_decomp_1(C, A, B) & v16_decomp_1(C, A, B)) ) ) ) ) ) ) ) ).
fof(t21_decomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v6_decomp_1(C, A, B) <=>  (v9_decomp_1(C, A, B) & v18_decomp_1(C, A, B)) ) ) ) ) ) ) ) ).
fof(t22_decomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v6_decomp_1(C, A, B) <=>  (v8_decomp_1(C, A, B) & v17_decomp_1(C, A, B)) ) ) ) ) ) ) ) ).
fof(t23_decomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v5_decomp_1(C, A, B) <=>  (v8_decomp_1(C, A, B) & v14_decomp_1(C, A, B)) ) ) ) ) ) ) ) ).
fof(t24_decomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v9_decomp_1(C, A, B) <=>  (v8_decomp_1(C, A, B) & v19_decomp_1(C, A, B)) ) ) ) ) ) ) ) ).
fof(t25_decomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v5_pre_topc(C, A, B) <=>  (v7_decomp_1(C, A, B) & v10_decomp_1(C, A, B)) ) ) ) ) ) ) ) ).
fof(t26_decomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v5_pre_topc(C, A, B) <=>  (v5_decomp_1(C, A, B) & v11_decomp_1(C, A, B)) ) ) ) ) ) ) ) ).
fof(t27_decomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v5_pre_topc(C, A, B) <=>  (v6_decomp_1(C, A, B) & v12_decomp_1(C, A, B)) ) ) ) ) ) ) ) ).
fof(t28_decomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v5_pre_topc(C, A, B) <=>  (v8_decomp_1(C, A, B) & v13_decomp_1(C, A, B)) ) ) ) ) ) ) ) ).
fof(dt_m1_decomp_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_decomp_1(B, A) => m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ).
fof(existence_m1_decomp_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (? [B] : m1_decomp_1(B, A)) ) ) ).
fof(dt_k1_decomp_1, axiom,  (! [A, B] :  ( (l1_pre_topc(A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k1_decomp_1(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k2_decomp_1, axiom,  (! [A, B] :  ( (l1_pre_topc(A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k2_decomp_1(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k3_decomp_1, axiom,  (! [A, B] :  ( (l1_pre_topc(A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k3_decomp_1(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k4_decomp_1, axiom,  (! [A, B] :  ( (l1_pre_topc(A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k4_decomp_1(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k5_decomp_1, axiom,  (! [A, B] :  ( (l1_pre_topc(A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k5_decomp_1(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k6_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => m1_subset_1(k6_decomp_1(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k7_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => m1_subset_1(k7_decomp_1(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k8_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => m1_subset_1(k8_decomp_1(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k9_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => m1_subset_1(k9_decomp_1(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k10_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => m1_subset_1(k10_decomp_1(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k11_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => m1_subset_1(k11_decomp_1(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k12_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => m1_subset_1(k12_decomp_1(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k13_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => m1_subset_1(k13_decomp_1(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k14_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => m1_subset_1(k14_decomp_1(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k15_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => m1_subset_1(k15_decomp_1(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k16_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => m1_subset_1(k16_decomp_1(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k17_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => m1_subset_1(k17_decomp_1(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k18_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => m1_subset_1(k18_decomp_1(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k19_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => m1_subset_1(k19_decomp_1(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k20_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => m1_subset_1(k20_decomp_1(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(d11_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => k6_decomp_1(A)=a_1_0_decomp_1(A)) ) ).
fof(d12_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => k7_decomp_1(A)=a_1_1_decomp_1(A)) ) ).
fof(d13_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => k8_decomp_1(A)=a_1_2_decomp_1(A)) ) ).
fof(d14_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => k9_decomp_1(A)=a_1_3_decomp_1(A)) ) ).
fof(d15_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => k10_decomp_1(A)=a_1_4_decomp_1(A)) ) ).
fof(d16_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => k11_decomp_1(A)=a_1_5_decomp_1(A)) ) ).
fof(d17_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => k12_decomp_1(A)=a_1_6_decomp_1(A)) ) ).
fof(d18_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => k13_decomp_1(A)=a_1_7_decomp_1(A)) ) ).
fof(d19_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => k14_decomp_1(A)=a_1_8_decomp_1(A)) ) ).
fof(d20_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => k15_decomp_1(A)=a_1_9_decomp_1(A)) ) ).
fof(d21_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => k16_decomp_1(A)=a_1_10_decomp_1(A)) ) ).
fof(d22_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => k17_decomp_1(A)=a_1_11_decomp_1(A)) ) ).
fof(d23_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => k18_decomp_1(A)=a_1_12_decomp_1(A)) ) ).
fof(d24_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => k19_decomp_1(A)=a_1_13_decomp_1(A)) ) ).
fof(d25_decomp_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => k20_decomp_1(A)=a_1_14_decomp_1(A)) ) ).
fof(fraenkel_a_1_0_decomp_1, axiom,  (! [A, B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (r2_hidden(A, a_1_0_decomp_1(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) &  (A=C & m1_decomp_1(C, B)) ) ) ) ) ) ).
fof(fraenkel_a_1_1_decomp_1, axiom,  (! [A, B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (r2_hidden(A, a_1_1_decomp_1(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) &  (A=C & v1_decomp_1(C, B)) ) ) ) ) ) ).
fof(fraenkel_a_1_2_decomp_1, axiom,  (! [A, B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (r2_hidden(A, a_1_2_decomp_1(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) &  (A=C & v2_decomp_1(C, B)) ) ) ) ) ) ).
fof(fraenkel_a_1_3_decomp_1, axiom,  (! [A, B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (r2_hidden(A, a_1_3_decomp_1(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) &  (A=C & v4_decomp_1(C, B)) ) ) ) ) ) ).
fof(fraenkel_a_1_4_decomp_1, axiom,  (! [A, B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (r2_hidden(A, a_1_4_decomp_1(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) &  (A=C & v3_decomp_1(C, B)) ) ) ) ) ) ).
fof(fraenkel_a_1_5_decomp_1, axiom,  (! [A, B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (r2_hidden(A, a_1_5_decomp_1(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) &  (A=C & k1_tops_1(B, C)=k3_decomp_1(B, C)) ) ) ) ) ) ).
fof(fraenkel_a_1_6_decomp_1, axiom,  (! [A, B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (r2_hidden(A, a_1_6_decomp_1(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) &  (A=C & k1_tops_1(B, C)=k2_decomp_1(B, C)) ) ) ) ) ) ).
fof(fraenkel_a_1_7_decomp_1, axiom,  (! [A, B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (r2_hidden(A, a_1_7_decomp_1(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) &  (A=C & k1_tops_1(B, C)=k1_decomp_1(B, C)) ) ) ) ) ) ).
fof(fraenkel_a_1_8_decomp_1, axiom,  (! [A, B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (r2_hidden(A, a_1_8_decomp_1(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) &  (A=C & k1_tops_1(B, C)=k4_decomp_1(B, C)) ) ) ) ) ) ).
fof(fraenkel_a_1_9_decomp_1, axiom,  (! [A, B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (r2_hidden(A, a_1_9_decomp_1(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) &  (A=C & k3_decomp_1(B, C)=k2_decomp_1(B, C)) ) ) ) ) ) ).
fof(fraenkel_a_1_10_decomp_1, axiom,  (! [A, B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (r2_hidden(A, a_1_10_decomp_1(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) &  (A=C & k3_decomp_1(B, C)=k1_decomp_1(B, C)) ) ) ) ) ) ).
fof(fraenkel_a_1_11_decomp_1, axiom,  (! [A, B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (r2_hidden(A, a_1_11_decomp_1(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) &  (A=C & k3_decomp_1(B, C)=k4_decomp_1(B, C)) ) ) ) ) ) ).
fof(fraenkel_a_1_12_decomp_1, axiom,  (! [A, B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (r2_hidden(A, a_1_12_decomp_1(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) &  (A=C & k2_decomp_1(B, C)=k5_decomp_1(B, C)) ) ) ) ) ) ).
fof(fraenkel_a_1_13_decomp_1, axiom,  (! [A, B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (r2_hidden(A, a_1_13_decomp_1(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) &  (A=C & k2_decomp_1(B, C)=k4_decomp_1(B, C)) ) ) ) ) ) ).
fof(fraenkel_a_1_14_decomp_1, axiom,  (! [A, B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (r2_hidden(A, a_1_14_decomp_1(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) &  (A=C & k5_decomp_1(B, C)=k4_decomp_1(B, C)) ) ) ) ) ) ).
fof(fc1_descip_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k3_finseq_5(B)) &  (v1_funct_1(k3_finseq_5(B)) &  (v3_card_1(k3_finseq_5(B), A) & v1_finseq_1(k3_finseq_5(B))) ) ) ) ) ).
fof(cc1_descip_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k4_finseq_2(A, k5_margrel1)) => v1_margrel1(B)) ) ) ) ).
fof(rc1_descip_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k5_card_1(A), k2_finseq_1(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k5_card_1(A)) &  (v5_relat_1(B, k2_finseq_1(A)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, k5_card_1(A)) &  (v1_funct_2(B, k5_card_1(A), k2_finseq_1(A)) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) &  (v4_valued_0(B) & v1_descip_1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc2_descip_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k5_card_1(A), k2_finseq_1(A)))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, k5_card_1(A), k2_finseq_1(A)) & v1_descip_1(B, A)) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, k5_card_1(A), k2_finseq_1(A)) &  (v3_funct_2(B, k5_card_1(A), k2_finseq_1(A)) & v1_descip_1(B, A)) ) ) ) ) ) ) ) ).
fof(fc2_descip_1, axiom,  (v1_funct_1(k25_descip_1) &  (v1_funct_2(k25_descip_1, k4_finseq_2(64, k5_margrel1), k4_finseq_2(64, k5_margrel1)) & v3_funct_2(k25_descip_1, k4_finseq_2(64, k5_margrel1), k4_finseq_2(64, k5_margrel1))) ) ).
fof(fc3_descip_1, axiom,  (v1_funct_1(k27_descip_1) &  (v1_funct_2(k27_descip_1, k4_finseq_2(64, k5_margrel1), k4_finseq_2(64, k5_margrel1)) & v3_funct_2(k27_descip_1, k4_finseq_2(64, k5_margrel1), k4_finseq_2(64, k5_margrel1))) ) ).
fof(t1_descip_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & m1_subset_1(C, k4_ordinal1))  =>  (! [D] :  (m2_finseq_2(D, A, k4_finseq_2(C, A)) =>  (r1_xxreal_0(B, C) => m2_finseq_2(k2_descip_1(A, B, D), A, k4_finseq_2(B, A))) ) ) ) ) ) ) ) ) ).
fof(t2_descip_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & m1_subset_1(C, k4_ordinal1))  =>  (! [D] :  ( ( ~ (v8_ordinal1(D))  & m1_subset_1(D, k4_ordinal1))  =>  (! [E] :  (m2_finseq_2(E, A, k4_finseq_2(C, A)) =>  ( (r1_xxreal_0(B, C) & D=k6_xcmplx_0(C, B))  => m2_finseq_2(k3_descip_1(A, B, E), A, k4_finseq_2(D, A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_descip_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  (m2_finseq_2(C, A, k4_finseq_2(k2_nat_1(2, B), A)) => k9_binarith(B, B, A, k4_descip_1(A, B, C), k5_descip_1(A, B, C))=C) ) ) ) ) ) ).
fof(d1_descip_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k6_descip_1(A)=k7_finseq_1(k1_rfinseq(1, A), k9_finseq_1(k1_funct_1(A, 1)))) ) ).
fof(t4_descip_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (r1_xxreal_0(1, k3_finseq_1(A)) => k3_finseq_1(k6_descip_1(A))=k3_finseq_1(A)) ) ) ).
fof(t5_descip_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (r1_xxreal_0(1, k3_finseq_1(B)) =>  (m2_finseq_1(k6_descip_1(B), A) & k3_finseq_1(k6_descip_1(B))=k3_finseq_1(B)) ) ) ) ) ) ).
fof(t6_descip_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  (m2_finseq_2(C, A, k4_finseq_2(B, A)) => m2_finseq_2(k6_descip_1(C), A, k4_finseq_2(B, A))) ) ) ) ) ) ).
fof(d2_descip_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k7_descip_1(A)=k16_finseq_1(k3_finseq_1(A), k7_finseq_1(k9_finseq_1(k1_funct_1(A, k3_finseq_1(A))), A))) ) ).
fof(t7_descip_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k3_finseq_1(k7_descip_1(A))=k3_finseq_1(A)) ) ).
fof(t8_descip_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (r1_xxreal_0(1, k3_finseq_1(B)) => m2_finseq_1(k7_descip_1(B), A)) ) ) ) ) ).
fof(t9_descip_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  (m2_finseq_2(C, A, k4_finseq_2(B, A)) => m2_finseq_2(k7_descip_1(C), A, k4_finseq_2(B, A))) ) ) ) ) ) ).
fof(d3_descip_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v1_int_1(C) =>  (r1_xxreal_0(1, k3_finseq_1(B)) =>  (! [D] :  (m2_finseq_1(D, A) =>  (D=k8_descip_1(A, B, C) <=>  (k3_finseq_1(D)=k3_finseq_1(B) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k2_finseq_1(k3_finseq_1(B))) => k1_funct_1(D, E)=k1_funct_1(B, k2_xcmplx_0(k5_int_1(k2_xcmplx_0(k6_xcmplx_0(E, 1), C), k3_finseq_1(B)), 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_descip_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  (r1_xxreal_0(1, k3_finseq_1(B)) => k8_descip_1(A, k8_descip_1(A, B, C), D)=k8_descip_1(A, B, k2_xcmplx_0(C, D))) ) ) ) ) ) ) ) ) ).
fof(t11_descip_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (r1_xxreal_0(1, k3_finseq_1(B)) => k8_descip_1(A, B, k5_numbers)=B) ) ) ) ) ).
fof(t12_descip_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (r1_xxreal_0(1, k3_finseq_1(B)) => k8_descip_1(A, B, k3_finseq_1(B))=B) ) ) ) ) ).
fof(t13_descip_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (r1_xxreal_0(1, k3_finseq_1(B)) => k8_descip_1(A, B, k4_xcmplx_0(k3_finseq_1(B)))=B) ) ) ) ) ).
fof(t14_descip_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (m2_finseq_2(D, A, k4_finseq_2(B, A)) => m2_finseq_2(k8_descip_1(A, D, C), A, k4_finseq_2(B, A))) ) ) ) ) ) ) ) ).
fof(t15_descip_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (r1_xxreal_0(1, k3_finseq_1(B)) => k8_descip_1(A, B, k4_xcmplx_0(1))=k7_descip_1(B)) ) ) ) ) ).
fof(t16_descip_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (r1_xxreal_0(1, k3_finseq_1(B)) => k8_descip_1(A, B, 1)=k6_descip_1(B)) ) ) ) ) ).
fof(d4_descip_1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m2_finseq_2(B, k5_margrel1, k4_finseq_2(A, k5_margrel1)) =>  (! [C] :  (m2_finseq_2(C, k5_margrel1, k4_finseq_2(A, k5_margrel1)) =>  (! [D] :  (m2_finseq_2(D, k5_margrel1, k4_finseq_2(A, k5_margrel1)) =>  (D=k11_descip_1(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k2_finseq_1(A)) => k10_descip_1(A, D, E)=k2_binarith(k10_descip_1(A, B, E), k10_descip_1(A, C, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_descip_1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m2_finseq_2(B, k5_margrel1, k4_finseq_2(A, k5_margrel1)) =>  (! [C] :  (m2_finseq_2(C, k5_margrel1, k4_finseq_2(A, k5_margrel1)) => k11_descip_1(A, k11_descip_1(A, B, C), C)=B) ) ) ) ) ) ).
fof(t18_descip_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(k2_xcmplx_0(C, D), k3_finseq_1(B)) => k8_finseq_1(A, k17_finseq_1(A, C, B), k17_finseq_1(A, D, k2_rfinseq(A, C, B)))=k17_finseq_1(A, k2_xcmplx_0(C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t19_descip_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => A=k4_subset_1(k4_ordinal1, k6_domain_1(k4_ordinal1, k5_numbers), k7_subset_1(k4_ordinal1, k2_finseq_1(A), k1_tarski(A)))) ) ).
fof(t20_descip_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) =>  (! [H] :  (m1_subset_1(H, A) =>  (! [I] :  (m1_subset_1(I, A) =>  (? [J] :  (m2_finseq_1(J, A) &  (v3_card_1(J, 8) &  (k1_funct_1(J, 1)=B &  (k1_funct_1(J, 2)=C &  (k1_funct_1(J, 3)=D &  (k1_funct_1(J, 4)=E &  (k1_funct_1(J, 5)=F &  (k1_funct_1(J, 6)=G &  (k1_funct_1(J, 7)=H & k1_funct_1(J, 8)=I) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_descip_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) =>  (! [H] :  (m1_subset_1(H, A) =>  (! [I] :  (m1_subset_1(I, A) =>  (! [J] :  (m1_subset_1(J, A) =>  (! [K] :  (m1_subset_1(K, A) =>  (! [L] :  (m1_subset_1(L, A) =>  (! [M] :  (m1_subset_1(M, A) =>  (! [N] :  (m1_subset_1(N, A) =>  (! [O] :  (m1_subset_1(O, A) =>  (! [P] :  (m1_subset_1(P, A) =>  (! [Q] :  (m1_subset_1(Q, A) =>  (? [R] :  (m2_finseq_1(R, A) &  (v3_card_1(R, 16) &  (k1_funct_1(R, 1)=B &  (k1_funct_1(R, 2)=C &  (k1_funct_1(R, 3)=D &  (k1_funct_1(R, 4)=E &  (k1_funct_1(R, 5)=F &  (k1_funct_1(R, 6)=G &  (k1_funct_1(R, 7)=H &  (k1_funct_1(R, 8)=I &  (k1_funct_1(R, 9)=J &  (k1_funct_1(R, 10)=K &  (k1_funct_1(R, 11)=L &  (k1_funct_1(R, 12)=M &  (k1_funct_1(R, 13)=N &  (k1_funct_1(R, 14)=O &  (k1_funct_1(R, 15)=P & k1_funct_1(R, 16)=Q) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_descip_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) =>  (! [H] :  (m1_subset_1(H, A) =>  (! [I] :  (m1_subset_1(I, A) =>  (! [J] :  (m1_subset_1(J, A) =>  (! [K] :  (m1_subset_1(K, A) =>  (! [L] :  (m1_subset_1(L, A) =>  (! [M] :  (m1_subset_1(M, A) =>  (! [N] :  (m1_subset_1(N, A) =>  (! [O] :  (m1_subset_1(O, A) =>  (! [P] :  (m1_subset_1(P, A) =>  (! [Q] :  (m1_subset_1(Q, A) =>  (! [R] :  (m1_subset_1(R, A) =>  (! [S] :  (m1_subset_1(S, A) =>  (! [T] :  (m1_subset_1(T, A) =>  (! [U] :  (m1_subset_1(U, A) =>  (! [V] :  (m1_subset_1(V, A) =>  (! [W] :  (m1_subset_1(W, A) =>  (! [X] :  (m1_subset_1(X, A) =>  (! [Y] :  (m1_subset_1(Y, A) =>  (! [Z] :  (m1_subset_1(Z, A) =>  (! [A1] :  (m1_subset_1(A1, A) =>  (! [B1] :  (m1_subset_1(B1, A) =>  (! [C1] :  (m1_subset_1(C1, A) =>  (! [D1] :  (m1_subset_1(D1, A) =>  (! [E1] :  (m1_subset_1(E1, A) =>  (! [F1] :  (m1_subset_1(F1, A) =>  (! [G1] :  (m1_subset_1(G1, A) =>  (? [H1] :  (m2_finseq_1(H1, A) &  (v3_card_1(H1, 32) &  (k1_funct_1(H1, 1)=B &  (k1_funct_1(H1, 2)=C &  (k1_funct_1(H1, 3)=D &  (k1_funct_1(H1, 4)=E &  (k1_funct_1(H1, 5)=F &  (k1_funct_1(H1, 6)=G &  (k1_funct_1(H1, 7)=H &  (k1_funct_1(H1, 8)=I &  (k1_funct_1(H1, 9)=J &  (k1_funct_1(H1, 10)=K &  (k1_funct_1(H1, 11)=L &  (k1_funct_1(H1, 12)=M &  (k1_funct_1(H1, 13)=N &  (k1_funct_1(H1, 14)=O &  (k1_funct_1(H1, 15)=P &  (k1_funct_1(H1, 16)=Q &  (k1_funct_1(H1, 17)=R &  (k1_funct_1(H1, 18)=S &  (k1_funct_1(H1, 19)=T &  (k1_funct_1(H1, 20)=U &  (k1_funct_1(H1, 21)=V &  (k1_funct_1(H1, 22)=W &  (k1_funct_1(H1, 23)=X &  (k1_funct_1(H1, 24)=Y &  (k1_funct_1(H1, 25)=Z &  (k1_funct_1(H1, 26)=A1 &  (k1_funct_1(H1, 27)=B1 &  (k1_funct_1(H1, 28)=C1 &  (k1_funct_1(H1, 29)=D1 &  (k1_funct_1(H1, 30)=E1 &  (k1_funct_1(H1, 31)=F1 & k1_funct_1(H1, 32)=G1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_descip_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) =>  (! [H] :  (m1_subset_1(H, A) =>  (! [I] :  (m1_subset_1(I, A) =>  (! [J] :  (m1_subset_1(J, A) =>  (! [K] :  (m1_subset_1(K, A) =>  (! [L] :  (m1_subset_1(L, A) =>  (! [M] :  (m1_subset_1(M, A) =>  (! [N] :  (m1_subset_1(N, A) =>  (! [O] :  (m1_subset_1(O, A) =>  (! [P] :  (m1_subset_1(P, A) =>  (! [Q] :  (m1_subset_1(Q, A) =>  (! [R] :  (m1_subset_1(R, A) =>  (! [S] :  (m1_subset_1(S, A) =>  (! [T] :  (m1_subset_1(T, A) =>  (! [U] :  (m1_subset_1(U, A) =>  (! [V] :  (m1_subset_1(V, A) =>  (! [W] :  (m1_subset_1(W, A) =>  (! [X] :  (m1_subset_1(X, A) =>  (! [Y] :  (m1_subset_1(Y, A) =>  (! [Z] :  (m1_subset_1(Z, A) =>  (! [A1] :  (m1_subset_1(A1, A) =>  (! [B1] :  (m1_subset_1(B1, A) =>  (! [C1] :  (m1_subset_1(C1, A) =>  (! [D1] :  (m1_subset_1(D1, A) =>  (! [E1] :  (m1_subset_1(E1, A) =>  (! [F1] :  (m1_subset_1(F1, A) =>  (! [G1] :  (m1_subset_1(G1, A) =>  (! [H1] :  (m1_subset_1(H1, A) =>  (! [I1] :  (m1_subset_1(I1, A) =>  (! [J1] :  (m1_subset_1(J1, A) =>  (! [K1] :  (m1_subset_1(K1, A) =>  (! [L1] :  (m1_subset_1(L1, A) =>  (! [M1] :  (m1_subset_1(M1, A) =>  (! [N1] :  (m1_subset_1(N1, A) =>  (! [O1] :  (m1_subset_1(O1, A) =>  (! [P1] :  (m1_subset_1(P1, A) =>  (! [Q1] :  (m1_subset_1(Q1, A) =>  (! [R1] :  (m1_subset_1(R1, A) =>  (! [S1] :  (m1_subset_1(S1, A) =>  (! [T1] :  (m1_subset_1(T1, A) =>  (! [U1] :  (m1_subset_1(U1, A) =>  (! [V1] :  (m1_subset_1(V1, A) =>  (! [W1] :  (m1_subset_1(W1, A) =>  (? [X1] :  (m2_finseq_1(X1, A) &  (v3_card_1(X1, 48) &  (k1_funct_1(X1, 1)=B &  (k1_funct_1(X1, 2)=C &  (k1_funct_1(X1, 3)=D &  (k1_funct_1(X1, 4)=E &  (k1_funct_1(X1, 5)=F &  (k1_funct_1(X1, 6)=G &  (k1_funct_1(X1, 7)=H &  (k1_funct_1(X1, 8)=I &  (k1_funct_1(X1, 9)=J &  (k1_funct_1(X1, 10)=K &  (k1_funct_1(X1, 11)=L &  (k1_funct_1(X1, 12)=M &  (k1_funct_1(X1, 13)=N &  (k1_funct_1(X1, 14)=O &  (k1_funct_1(X1, 15)=P &  (k1_funct_1(X1, 16)=Q &  (k1_funct_1(X1, 17)=R &  (k1_funct_1(X1, 18)=S &  (k1_funct_1(X1, 19)=T &  (k1_funct_1(X1, 20)=U &  (k1_funct_1(X1, 21)=V &  (k1_funct_1(X1, 22)=W &  (k1_funct_1(X1, 23)=X &  (k1_funct_1(X1, 24)=Y &  (k1_funct_1(X1, 25)=Z &  (k1_funct_1(X1, 26)=A1 &  (k1_funct_1(X1, 27)=B1 &  (k1_funct_1(X1, 28)=C1 &  (k1_funct_1(X1, 29)=D1 &  (k1_funct_1(X1, 30)=E1 &  (k1_funct_1(X1, 31)=F1 &  (k1_funct_1(X1, 32)=G1 &  (k1_funct_1(X1, 33)=H1 &  (k1_funct_1(X1, 34)=I1 &  (k1_funct_1(X1, 35)=J1 &  (k1_funct_1(X1, 36)=K1 &  (k1_funct_1(X1, 37)=L1 &  (k1_funct_1(X1, 38)=M1 &  (k1_funct_1(X1, 39)=N1 &  (k1_funct_1(X1, 40)=O1 &  (k1_funct_1(X1, 41)=P1 &  (k1_funct_1(X1, 42)=Q1 &  (k1_funct_1(X1, 43)=R1 &  (k1_funct_1(X1, 44)=S1 &  (k1_funct_1(X1, 45)=T1 &  (k1_funct_1(X1, 46)=U1 &  (k1_funct_1(X1, 47)=V1 & k1_funct_1(X1, 48)=W1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_descip_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) =>  (! [H] :  (m1_subset_1(H, A) =>  (! [I] :  (m1_subset_1(I, A) =>  (! [J] :  (m1_subset_1(J, A) =>  (! [K] :  (m1_subset_1(K, A) =>  (! [L] :  (m1_subset_1(L, A) =>  (! [M] :  (m1_subset_1(M, A) =>  (! [N] :  (m1_subset_1(N, A) =>  (! [O] :  (m1_subset_1(O, A) =>  (! [P] :  (m1_subset_1(P, A) =>  (! [Q] :  (m1_subset_1(Q, A) =>  (! [R] :  (m1_subset_1(R, A) =>  (! [S] :  (m1_subset_1(S, A) =>  (! [T] :  (m1_subset_1(T, A) =>  (! [U] :  (m1_subset_1(U, A) =>  (! [V] :  (m1_subset_1(V, A) =>  (! [W] :  (m1_subset_1(W, A) =>  (! [X] :  (m1_subset_1(X, A) =>  (! [Y] :  (m1_subset_1(Y, A) =>  (! [Z] :  (m1_subset_1(Z, A) =>  (! [A1] :  (m1_subset_1(A1, A) =>  (! [B1] :  (m1_subset_1(B1, A) =>  (! [C1] :  (m1_subset_1(C1, A) =>  (! [D1] :  (m1_subset_1(D1, A) =>  (! [E1] :  (m1_subset_1(E1, A) =>  (! [F1] :  (m1_subset_1(F1, A) =>  (! [G1] :  (m1_subset_1(G1, A) =>  (! [H1] :  (m1_subset_1(H1, A) =>  (! [I1] :  (m1_subset_1(I1, A) =>  (! [J1] :  (m1_subset_1(J1, A) =>  (! [K1] :  (m1_subset_1(K1, A) =>  (! [L1] :  (m1_subset_1(L1, A) =>  (! [M1] :  (m1_subset_1(M1, A) =>  (! [N1] :  (m1_subset_1(N1, A) =>  (! [O1] :  (m1_subset_1(O1, A) =>  (! [P1] :  (m1_subset_1(P1, A) =>  (! [Q1] :  (m1_subset_1(Q1, A) =>  (! [R1] :  (m1_subset_1(R1, A) =>  (! [S1] :  (m1_subset_1(S1, A) =>  (! [T1] :  (m1_subset_1(T1, A) =>  (! [U1] :  (m1_subset_1(U1, A) =>  (! [V1] :  (m1_subset_1(V1, A) =>  (! [W1] :  (m1_subset_1(W1, A) =>  (! [X1] :  (m1_subset_1(X1, A) =>  (! [Y1] :  (m1_subset_1(Y1, A) =>  (! [Z1] :  (m1_subset_1(Z1, A) =>  (! [A2] :  (m1_subset_1(A2, A) =>  (! [B2] :  (m1_subset_1(B2, A) =>  (! [C2] :  (m1_subset_1(C2, A) =>  (! [D2] :  (m1_subset_1(D2, A) =>  (! [E2] :  (m1_subset_1(E2, A) =>  (? [F2] :  (m2_finseq_1(F2, A) &  (v3_card_1(F2, 56) &  (k1_funct_1(F2, 1)=B &  (k1_funct_1(F2, 2)=C &  (k1_funct_1(F2, 3)=D &  (k1_funct_1(F2, 4)=E &  (k1_funct_1(F2, 5)=F &  (k1_funct_1(F2, 6)=G &  (k1_funct_1(F2, 7)=H &  (k1_funct_1(F2, 8)=I &  (k1_funct_1(F2, 9)=J &  (k1_funct_1(F2, 10)=K &  (k1_funct_1(F2, 11)=L &  (k1_funct_1(F2, 12)=M &  (k1_funct_1(F2, 13)=N &  (k1_funct_1(F2, 14)=O &  (k1_funct_1(F2, 15)=P &  (k1_funct_1(F2, 16)=Q &  (k1_funct_1(F2, 17)=R &  (k1_funct_1(F2, 18)=S &  (k1_funct_1(F2, 19)=T &  (k1_funct_1(F2, 20)=U &  (k1_funct_1(F2, 21)=V &  (k1_funct_1(F2, 22)=W &  (k1_funct_1(F2, 23)=X &  (k1_funct_1(F2, 24)=Y &  (k1_funct_1(F2, 25)=Z &  (k1_funct_1(F2, 26)=A1 &  (k1_funct_1(F2, 27)=B1 &  (k1_funct_1(F2, 28)=C1 &  (k1_funct_1(F2, 29)=D1 &  (k1_funct_1(F2, 30)=E1 &  (k1_funct_1(F2, 31)=F1 &  (k1_funct_1(F2, 32)=G1 &  (k1_funct_1(F2, 33)=H1 &  (k1_funct_1(F2, 34)=I1 &  (k1_funct_1(F2, 35)=J1 &  (k1_funct_1(F2, 36)=K1 &  (k1_funct_1(F2, 37)=L1 &  (k1_funct_1(F2, 38)=M1 &  (k1_funct_1(F2, 39)=N1 &  (k1_funct_1(F2, 40)=O1 &  (k1_funct_1(F2, 41)=P1 &  (k1_funct_1(F2, 42)=Q1 &  (k1_funct_1(F2, 43)=R1 &  (k1_funct_1(F2, 44)=S1 &  (k1_funct_1(F2, 45)=T1 &  (k1_funct_1(F2, 46)=U1 &  (k1_funct_1(F2, 47)=V1 &  (k1_funct_1(F2, 48)=W1 &  (k1_funct_1(F2, 49)=X1 &  (k1_funct_1(F2, 50)=Y1 &  (k1_funct_1(F2, 51)=Z1 &  (k1_funct_1(F2, 52)=A2 &  (k1_funct_1(F2, 53)=B2 &  (k1_funct_1(F2, 54)=C2 &  (k1_funct_1(F2, 55)=D2 & k1_funct_1(F2, 56)=E2) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_descip_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) =>  (! [H] :  (m1_subset_1(H, A) =>  (! [I] :  (m1_subset_1(I, A) =>  (! [J] :  (m1_subset_1(J, A) =>  (! [K] :  (m1_subset_1(K, A) =>  (! [L] :  (m1_subset_1(L, A) =>  (! [M] :  (m1_subset_1(M, A) =>  (! [N] :  (m1_subset_1(N, A) =>  (! [O] :  (m1_subset_1(O, A) =>  (! [P] :  (m1_subset_1(P, A) =>  (! [Q] :  (m1_subset_1(Q, A) =>  (! [R] :  (m1_subset_1(R, A) =>  (! [S] :  (m1_subset_1(S, A) =>  (! [T] :  (m1_subset_1(T, A) =>  (! [U] :  (m1_subset_1(U, A) =>  (! [V] :  (m1_subset_1(V, A) =>  (! [W] :  (m1_subset_1(W, A) =>  (! [X] :  (m1_subset_1(X, A) =>  (! [Y] :  (m1_subset_1(Y, A) =>  (! [Z] :  (m1_subset_1(Z, A) =>  (! [A1] :  (m1_subset_1(A1, A) =>  (! [B1] :  (m1_subset_1(B1, A) =>  (! [C1] :  (m1_subset_1(C1, A) =>  (! [D1] :  (m1_subset_1(D1, A) =>  (! [E1] :  (m1_subset_1(E1, A) =>  (! [F1] :  (m1_subset_1(F1, A) =>  (! [G1] :  (m1_subset_1(G1, A) =>  (! [H1] :  (m1_subset_1(H1, A) =>  (! [I1] :  (m1_subset_1(I1, A) =>  (! [J1] :  (m1_subset_1(J1, A) =>  (! [K1] :  (m1_subset_1(K1, A) =>  (! [L1] :  (m1_subset_1(L1, A) =>  (! [M1] :  (m1_subset_1(M1, A) =>  (! [N1] :  (m1_subset_1(N1, A) =>  (! [O1] :  (m1_subset_1(O1, A) =>  (! [P1] :  (m1_subset_1(P1, A) =>  (! [Q1] :  (m1_subset_1(Q1, A) =>  (! [R1] :  (m1_subset_1(R1, A) =>  (! [S1] :  (m1_subset_1(S1, A) =>  (! [T1] :  (m1_subset_1(T1, A) =>  (! [U1] :  (m1_subset_1(U1, A) =>  (! [V1] :  (m1_subset_1(V1, A) =>  (! [W1] :  (m1_subset_1(W1, A) =>  (! [X1] :  (m1_subset_1(X1, A) =>  (! [Y1] :  (m1_subset_1(Y1, A) =>  (! [Z1] :  (m1_subset_1(Z1, A) =>  (! [A2] :  (m1_subset_1(A2, A) =>  (! [B2] :  (m1_subset_1(B2, A) =>  (! [C2] :  (m1_subset_1(C2, A) =>  (! [D2] :  (m1_subset_1(D2, A) =>  (! [E2] :  (m1_subset_1(E2, A) =>  (! [F2] :  (m1_subset_1(F2, A) =>  (! [G2] :  (m1_subset_1(G2, A) =>  (! [H2] :  (m1_subset_1(H2, A) =>  (! [I2] :  (m1_subset_1(I2, A) =>  (! [J2] :  (m1_subset_1(J2, A) =>  (! [K2] :  (m1_subset_1(K2, A) =>  (! [L2] :  (m1_subset_1(L2, A) =>  (! [M2] :  (m1_subset_1(M2, A) =>  (? [N2] :  (m2_finseq_1(N2, A) &  (v3_card_1(N2, 64) &  (k1_funct_1(N2, 1)=B &  (k1_funct_1(N2, 2)=C &  (k1_funct_1(N2, 3)=D &  (k1_funct_1(N2, 4)=E &  (k1_funct_1(N2, 5)=F &  (k1_funct_1(N2, 6)=G &  (k1_funct_1(N2, 7)=H &  (k1_funct_1(N2, 8)=I &  (k1_funct_1(N2, 9)=J &  (k1_funct_1(N2, 10)=K &  (k1_funct_1(N2, 11)=L &  (k1_funct_1(N2, 12)=M &  (k1_funct_1(N2, 13)=N &  (k1_funct_1(N2, 14)=O &  (k1_funct_1(N2, 15)=P &  (k1_funct_1(N2, 16)=Q &  (k1_funct_1(N2, 17)=R &  (k1_funct_1(N2, 18)=S &  (k1_funct_1(N2, 19)=T &  (k1_funct_1(N2, 20)=U &  (k1_funct_1(N2, 21)=V &  (k1_funct_1(N2, 22)=W &  (k1_funct_1(N2, 23)=X &  (k1_funct_1(N2, 24)=Y &  (k1_funct_1(N2, 25)=Z &  (k1_funct_1(N2, 26)=A1 &  (k1_funct_1(N2, 27)=B1 &  (k1_funct_1(N2, 28)=C1 &  (k1_funct_1(N2, 29)=D1 &  (k1_funct_1(N2, 30)=E1 &  (k1_funct_1(N2, 31)=F1 &  (k1_funct_1(N2, 32)=G1 &  (k1_funct_1(N2, 33)=H1 &  (k1_funct_1(N2, 34)=I1 &  (k1_funct_1(N2, 35)=J1 &  (k1_funct_1(N2, 36)=K1 &  (k1_funct_1(N2, 37)=L1 &  (k1_funct_1(N2, 38)=M1 &  (k1_funct_1(N2, 39)=N1 &  (k1_funct_1(N2, 40)=O1 &  (k1_funct_1(N2, 41)=P1 &  (k1_funct_1(N2, 42)=Q1 &  (k1_funct_1(N2, 43)=R1 &  (k1_funct_1(N2, 44)=S1 &  (k1_funct_1(N2, 45)=T1 &  (k1_funct_1(N2, 46)=U1 &  (k1_funct_1(N2, 47)=V1 &  (k1_funct_1(N2, 48)=W1 &  (k1_funct_1(N2, 49)=X1 &  (k1_funct_1(N2, 50)=Y1 &  (k1_funct_1(N2, 51)=Z1 &  (k1_funct_1(N2, 52)=A2 &  (k1_funct_1(N2, 53)=B2 &  (k1_funct_1(N2, 54)=C2 &  (k1_funct_1(N2, 55)=D2 &  (k1_funct_1(N2, 56)=E2 &  (k1_funct_1(N2, 57)=F2 &  (k1_funct_1(N2, 58)=G2 &  (k1_funct_1(N2, 59)=H2 &  (k1_funct_1(N2, 60)=I2 &  (k1_funct_1(N2, 61)=J2 &  (k1_funct_1(N2, 62)=K2 &  (k1_funct_1(N2, 63)=L2 & k1_funct_1(N2, 64)=M2) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_descip_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k5_card_1(A), k2_finseq_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k5_card_1(A), k2_finseq_1(A))))) )  =>  (v1_descip_1(B, A) <=>  (! [C] :  (m2_subset_1(C, k4_ordinal1, k5_card_1(A)) => k3_funct_2(k5_card_1(A), k2_finseq_1(A), B, C)=k15_descip_1(A, C)) ) ) ) ) ) ) ).
fof(t26_descip_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k5_card_1(A), k2_finseq_1(A)) &  (v1_descip_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k5_card_1(A), k2_finseq_1(A))))) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (r1_xxreal_0(A, C))  =>  (k1_funct_1(B, C)=k1_nat_1(C, 1) & r2_tarski(C, k1_relset_1(k5_card_1(A), B))) ) ) ) ) ) ) ) ).
fof(t27_descip_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) =>  (! [H] :  (m1_subset_1(H, A) =>  (! [I] :  (m1_subset_1(I, A) =>  (! [J] :  (m1_subset_1(J, A) =>  (! [K] :  (m1_subset_1(K, A) =>  (! [L] :  (m1_subset_1(L, A) =>  (! [M] :  (m1_subset_1(M, A) =>  (! [N] :  (m1_subset_1(N, A) =>  (! [O] :  (m1_subset_1(O, A) =>  (! [P] :  (m1_subset_1(P, A) =>  (! [Q] :  (m1_subset_1(Q, A) =>  (! [R] :  (m1_subset_1(R, A) =>  (! [S] :  (m1_subset_1(S, A) =>  (! [T] :  (m1_subset_1(T, A) =>  (! [U] :  (m1_subset_1(U, A) =>  (! [V] :  (m1_subset_1(V, A) =>  (! [W] :  (m1_subset_1(W, A) =>  (! [X] :  (m1_subset_1(X, A) =>  (! [Y] :  (m1_subset_1(Y, A) =>  (! [Z] :  (m1_subset_1(Z, A) =>  (! [A1] :  (m1_subset_1(A1, A) =>  (! [B1] :  (m1_subset_1(B1, A) =>  (! [C1] :  (m1_subset_1(C1, A) =>  (! [D1] :  (m1_subset_1(D1, A) =>  (! [E1] :  (m1_subset_1(E1, A) =>  (! [F1] :  (m1_subset_1(F1, A) =>  (! [G1] :  (m1_subset_1(G1, A) =>  (! [H1] :  (m1_subset_1(H1, A) =>  (! [I1] :  (m1_subset_1(I1, A) =>  (! [J1] :  (m1_subset_1(J1, A) =>  (! [K1] :  (m1_subset_1(K1, A) =>  (! [L1] :  (m1_subset_1(L1, A) =>  (! [M1] :  (m1_subset_1(M1, A) =>  (! [N1] :  (m1_subset_1(N1, A) =>  (! [O1] :  (m1_subset_1(O1, A) =>  (! [P1] :  (m1_subset_1(P1, A) =>  (! [Q1] :  (m1_subset_1(Q1, A) =>  (! [R1] :  (m1_subset_1(R1, A) =>  (! [S1] :  (m1_subset_1(S1, A) =>  (! [T1] :  (m1_subset_1(T1, A) =>  (! [U1] :  (m1_subset_1(U1, A) =>  (! [V1] :  (m1_subset_1(V1, A) =>  (! [W1] :  (m1_subset_1(W1, A) =>  (! [X1] :  (m1_subset_1(X1, A) =>  (! [Y1] :  (m1_subset_1(Y1, A) =>  (! [Z1] :  (m1_subset_1(Z1, A) =>  (! [A2] :  (m1_subset_1(A2, A) =>  (! [B2] :  (m1_subset_1(B2, A) =>  (! [C2] :  (m1_subset_1(C2, A) =>  (! [D2] :  (m1_subset_1(D2, A) =>  (! [E2] :  (m1_subset_1(E2, A) =>  (! [F2] :  (m1_subset_1(F2, A) =>  (! [G2] :  (m1_subset_1(G2, A) =>  (! [H2] :  (m1_subset_1(H2, A) =>  (! [I2] :  (m1_subset_1(I2, A) =>  (! [J2] :  (m1_subset_1(J2, A) =>  (! [K2] :  (m1_subset_1(K2, A) =>  (! [L2] :  (m1_subset_1(L2, A) =>  (! [M2] :  (m1_subset_1(M2, A) =>  (? [N2] :  ( (v1_funct_1(N2) &  (v1_funct_2(N2, 64, A) & m1_subset_1(N2, k1_zfmisc_1(k2_zfmisc_1(64, A)))) )  &  (k1_funct_1(N2, k5_numbers)=B &  (k1_funct_1(N2, 1)=C &  (k1_funct_1(N2, 2)=D &  (k1_funct_1(N2, 3)=E &  (k1_funct_1(N2, 4)=F &  (k1_funct_1(N2, 5)=G &  (k1_funct_1(N2, 6)=H &  (k1_funct_1(N2, 7)=I &  (k1_funct_1(N2, 8)=J &  (k1_funct_1(N2, 9)=K &  (k1_funct_1(N2, 10)=L &  (k1_funct_1(N2, 11)=M &  (k1_funct_1(N2, 12)=N &  (k1_funct_1(N2, 13)=O &  (k1_funct_1(N2, 14)=P &  (k1_funct_1(N2, 15)=Q &  (k1_funct_1(N2, 16)=R &  (k1_funct_1(N2, 17)=S &  (k1_funct_1(N2, 18)=T &  (k1_funct_1(N2, 19)=U &  (k1_funct_1(N2, 20)=V &  (k1_funct_1(N2, 21)=W &  (k1_funct_1(N2, 22)=X &  (k1_funct_1(N2, 23)=Y &  (k1_funct_1(N2, 24)=Z &  (k1_funct_1(N2, 25)=A1 &  (k1_funct_1(N2, 26)=B1 &  (k1_funct_1(N2, 27)=C1 &  (k1_funct_1(N2, 28)=D1 &  (k1_funct_1(N2, 29)=E1 &  (k1_funct_1(N2, 30)=F1 &  (k1_funct_1(N2, 31)=G1 &  (k1_funct_1(N2, 32)=H1 &  (k1_funct_1(N2, 33)=I1 &  (k1_funct_1(N2, 34)=J1 &  (k1_funct_1(N2, 35)=K1 &  (k1_funct_1(N2, 36)=L1 &  (k1_funct_1(N2, 37)=M1 &  (k1_funct_1(N2, 38)=N1 &  (k1_funct_1(N2, 39)=O1 &  (k1_funct_1(N2, 40)=P1 &  (k1_funct_1(N2, 41)=Q1 &  (k1_funct_1(N2, 42)=R1 &  (k1_funct_1(N2, 43)=S1 &  (k1_funct_1(N2, 44)=T1 &  (k1_funct_1(N2, 45)=U1 &  (k1_funct_1(N2, 46)=V1 &  (k1_funct_1(N2, 47)=W1 &  (k1_funct_1(N2, 48)=X1 &  (k1_funct_1(N2, 49)=Y1 &  (k1_funct_1(N2, 50)=Z1 &  (k1_funct_1(N2, 51)=A2 &  (k1_funct_1(N2, 52)=B2 &  (k1_funct_1(N2, 53)=C2 &  (k1_funct_1(N2, 54)=D2 &  (k1_funct_1(N2, 55)=E2 &  (k1_funct_1(N2, 56)=F2 &  (k1_funct_1(N2, 57)=G2 &  (k1_funct_1(N2, 58)=H2 &  (k1_funct_1(N2, 59)=I2 &  (k1_funct_1(N2, 60)=J2 &  (k1_funct_1(N2, 61)=K2 &  (k1_funct_1(N2, 62)=L2 & k1_funct_1(N2, 63)=M2) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_descip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, 64, 16) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(64, 16)))) )  =>  (A=k16_descip_1 <=>  (k14_descip_1(A, k5_numbers)=14 &  (k14_descip_1(A, 1)=4 &  (k14_descip_1(A, 2)=13 &  (k14_descip_1(A, 3)=1 &  (k14_descip_1(A, 4)=2 &  (k14_descip_1(A, 5)=15 &  (k14_descip_1(A, 6)=11 &  (k14_descip_1(A, 7)=8 &  (k14_descip_1(A, 8)=3 &  (k14_descip_1(A, 9)=10 &  (k14_descip_1(A, 10)=6 &  (k14_descip_1(A, 11)=12 &  (k14_descip_1(A, 12)=5 &  (k14_descip_1(A, 13)=9 &  (k14_descip_1(A, 14)=k5_numbers &  (k14_descip_1(A, 15)=7 &  (k14_descip_1(A, 16)=k5_numbers &  (k14_descip_1(A, 17)=15 &  (k14_descip_1(A, 18)=7 &  (k14_descip_1(A, 19)=4 &  (k14_descip_1(A, 20)=14 &  (k14_descip_1(A, 21)=2 &  (k14_descip_1(A, 22)=13 &  (k14_descip_1(A, 23)=1 &  (k14_descip_1(A, 24)=10 &  (k14_descip_1(A, 25)=6 &  (k14_descip_1(A, 26)=12 &  (k14_descip_1(A, 27)=11 &  (k14_descip_1(A, 28)=9 &  (k14_descip_1(A, 29)=5 &  (k14_descip_1(A, 30)=3 &  (k14_descip_1(A, 31)=8 &  (k14_descip_1(A, 32)=4 &  (k14_descip_1(A, 33)=1 &  (k14_descip_1(A, 34)=14 &  (k14_descip_1(A, 35)=8 &  (k14_descip_1(A, 36)=13 &  (k14_descip_1(A, 37)=6 &  (k14_descip_1(A, 38)=2 &  (k14_descip_1(A, 39)=11 &  (k14_descip_1(A, 40)=15 &  (k14_descip_1(A, 41)=12 &  (k14_descip_1(A, 42)=9 &  (k14_descip_1(A, 43)=7 &  (k14_descip_1(A, 44)=3 &  (k14_descip_1(A, 45)=10 &  (k14_descip_1(A, 46)=5 &  (k14_descip_1(A, 47)=k5_numbers &  (k14_descip_1(A, 48)=15 &  (k14_descip_1(A, 49)=12 &  (k14_descip_1(A, 50)=8 &  (k14_descip_1(A, 51)=2 &  (k14_descip_1(A, 52)=4 &  (k14_descip_1(A, 53)=9 &  (k14_descip_1(A, 54)=1 &  (k14_descip_1(A, 55)=7 &  (k14_descip_1(A, 56)=5 &  (k14_descip_1(A, 57)=11 &  (k14_descip_1(A, 58)=3 &  (k14_descip_1(A, 59)=14 &  (k14_descip_1(A, 60)=10 &  (k14_descip_1(A, 61)=k5_numbers &  (k14_descip_1(A, 62)=6 & k14_descip_1(A, 63)=13) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_descip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, 64, 16) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(64, 16)))) )  =>  (A=k17_descip_1 <=>  (k14_descip_1(A, k5_numbers)=15 &  (k14_descip_1(A, 1)=1 &  (k14_descip_1(A, 2)=8 &  (k14_descip_1(A, 3)=14 &  (k14_descip_1(A, 4)=6 &  (k14_descip_1(A, 5)=11 &  (k14_descip_1(A, 6)=3 &  (k14_descip_1(A, 7)=4 &  (k14_descip_1(A, 8)=9 &  (k14_descip_1(A, 9)=7 &  (k14_descip_1(A, 10)=2 &  (k14_descip_1(A, 11)=13 &  (k14_descip_1(A, 12)=12 &  (k14_descip_1(A, 13)=k5_numbers &  (k14_descip_1(A, 14)=5 &  (k14_descip_1(A, 15)=10 &  (k14_descip_1(A, 16)=3 &  (k14_descip_1(A, 17)=13 &  (k14_descip_1(A, 18)=4 &  (k14_descip_1(A, 19)=7 &  (k14_descip_1(A, 20)=15 &  (k14_descip_1(A, 21)=2 &  (k14_descip_1(A, 22)=8 &  (k14_descip_1(A, 23)=14 &  (k14_descip_1(A, 24)=12 &  (k14_descip_1(A, 25)=k5_numbers &  (k14_descip_1(A, 26)=1 &  (k14_descip_1(A, 27)=10 &  (k14_descip_1(A, 28)=6 &  (k14_descip_1(A, 29)=9 &  (k14_descip_1(A, 30)=11 &  (k14_descip_1(A, 31)=5 &  (k14_descip_1(A, 32)=k5_numbers &  (k14_descip_1(A, 33)=14 &  (k14_descip_1(A, 34)=7 &  (k14_descip_1(A, 35)=11 &  (k14_descip_1(A, 36)=10 &  (k14_descip_1(A, 37)=4 &  (k14_descip_1(A, 38)=13 &  (k14_descip_1(A, 39)=1 &  (k14_descip_1(A, 40)=5 &  (k14_descip_1(A, 41)=8 &  (k14_descip_1(A, 42)=12 &  (k14_descip_1(A, 43)=6 &  (k14_descip_1(A, 44)=9 &  (k14_descip_1(A, 45)=3 &  (k14_descip_1(A, 46)=2 &  (k14_descip_1(A, 47)=15 &  (k14_descip_1(A, 48)=13 &  (k14_descip_1(A, 49)=8 &  (k14_descip_1(A, 50)=10 &  (k14_descip_1(A, 51)=1 &  (k14_descip_1(A, 52)=3 &  (k14_descip_1(A, 53)=15 &  (k14_descip_1(A, 54)=4 &  (k14_descip_1(A, 55)=2 &  (k14_descip_1(A, 56)=11 &  (k14_descip_1(A, 57)=6 &  (k14_descip_1(A, 58)=7 &  (k14_descip_1(A, 59)=12 &  (k14_descip_1(A, 60)=k5_numbers &  (k14_descip_1(A, 61)=5 &  (k14_descip_1(A, 62)=14 & k14_descip_1(A, 63)=9) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_descip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, 64, 16) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(64, 16)))) )  =>  (A=k18_descip_1 <=>  (k14_descip_1(A, k5_numbers)=10 &  (k14_descip_1(A, 1)=k5_numbers &  (k14_descip_1(A, 2)=9 &  (k14_descip_1(A, 3)=14 &  (k14_descip_1(A, 4)=6 &  (k14_descip_1(A, 5)=3 &  (k14_descip_1(A, 6)=15 &  (k14_descip_1(A, 7)=5 &  (k14_descip_1(A, 8)=1 &  (k14_descip_1(A, 9)=13 &  (k14_descip_1(A, 10)=12 &  (k14_descip_1(A, 11)=7 &  (k14_descip_1(A, 12)=11 &  (k14_descip_1(A, 13)=4 &  (k14_descip_1(A, 14)=2 &  (k14_descip_1(A, 15)=8 &  (k14_descip_1(A, 16)=13 &  (k14_descip_1(A, 17)=7 &  (k14_descip_1(A, 18)=k5_numbers &  (k14_descip_1(A, 19)=9 &  (k14_descip_1(A, 20)=3 &  (k14_descip_1(A, 21)=4 &  (k14_descip_1(A, 22)=6 &  (k14_descip_1(A, 23)=10 &  (k14_descip_1(A, 24)=2 &  (k14_descip_1(A, 25)=8 &  (k14_descip_1(A, 26)=5 &  (k14_descip_1(A, 27)=14 &  (k14_descip_1(A, 28)=12 &  (k14_descip_1(A, 29)=11 &  (k14_descip_1(A, 30)=15 &  (k14_descip_1(A, 31)=1 &  (k14_descip_1(A, 32)=13 &  (k14_descip_1(A, 33)=6 &  (k14_descip_1(A, 34)=4 &  (k14_descip_1(A, 35)=9 &  (k14_descip_1(A, 36)=8 &  (k14_descip_1(A, 37)=15 &  (k14_descip_1(A, 38)=3 &  (k14_descip_1(A, 39)=k5_numbers &  (k14_descip_1(A, 40)=11 &  (k14_descip_1(A, 41)=1 &  (k14_descip_1(A, 42)=2 &  (k14_descip_1(A, 43)=12 &  (k14_descip_1(A, 44)=5 &  (k14_descip_1(A, 45)=10 &  (k14_descip_1(A, 46)=14 &  (k14_descip_1(A, 47)=7 &  (k14_descip_1(A, 48)=1 &  (k14_descip_1(A, 49)=10 &  (k14_descip_1(A, 50)=13 &  (k14_descip_1(A, 51)=k5_numbers &  (k14_descip_1(A, 52)=6 &  (k14_descip_1(A, 53)=9 &  (k14_descip_1(A, 54)=8 &  (k14_descip_1(A, 55)=7 &  (k14_descip_1(A, 56)=4 &  (k14_descip_1(A, 57)=15 &  (k14_descip_1(A, 58)=14 &  (k14_descip_1(A, 59)=3 &  (k14_descip_1(A, 60)=11 &  (k14_descip_1(A, 61)=5 &  (k14_descip_1(A, 62)=2 & k14_descip_1(A, 63)=12) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_descip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, 64, 16) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(64, 16)))) )  =>  (A=k19_descip_1 <=>  (k14_descip_1(A, k5_numbers)=7 &  (k14_descip_1(A, 1)=13 &  (k14_descip_1(A, 2)=14 &  (k14_descip_1(A, 3)=3 &  (k14_descip_1(A, 4)=k5_numbers &  (k14_descip_1(A, 5)=6 &  (k14_descip_1(A, 6)=9 &  (k14_descip_1(A, 7)=10 &  (k14_descip_1(A, 8)=1 &  (k14_descip_1(A, 9)=2 &  (k14_descip_1(A, 10)=8 &  (k14_descip_1(A, 11)=5 &  (k14_descip_1(A, 12)=11 &  (k14_descip_1(A, 13)=12 &  (k14_descip_1(A, 14)=4 &  (k14_descip_1(A, 15)=15 &  (k14_descip_1(A, 16)=13 &  (k14_descip_1(A, 17)=8 &  (k14_descip_1(A, 18)=11 &  (k14_descip_1(A, 19)=5 &  (k14_descip_1(A, 20)=6 &  (k14_descip_1(A, 21)=15 &  (k14_descip_1(A, 22)=k5_numbers &  (k14_descip_1(A, 23)=3 &  (k14_descip_1(A, 24)=4 &  (k14_descip_1(A, 25)=7 &  (k14_descip_1(A, 26)=2 &  (k14_descip_1(A, 27)=12 &  (k14_descip_1(A, 28)=1 &  (k14_descip_1(A, 29)=10 &  (k14_descip_1(A, 30)=14 &  (k14_descip_1(A, 31)=9 &  (k14_descip_1(A, 32)=10 &  (k14_descip_1(A, 33)=6 &  (k14_descip_1(A, 34)=9 &  (k14_descip_1(A, 35)=k5_numbers &  (k14_descip_1(A, 36)=12 &  (k14_descip_1(A, 37)=11 &  (k14_descip_1(A, 38)=7 &  (k14_descip_1(A, 39)=13 &  (k14_descip_1(A, 40)=15 &  (k14_descip_1(A, 41)=1 &  (k14_descip_1(A, 42)=3 &  (k14_descip_1(A, 43)=14 &  (k14_descip_1(A, 44)=5 &  (k14_descip_1(A, 45)=2 &  (k14_descip_1(A, 46)=8 &  (k14_descip_1(A, 47)=4 &  (k14_descip_1(A, 48)=3 &  (k14_descip_1(A, 49)=15 &  (k14_descip_1(A, 50)=k5_numbers &  (k14_descip_1(A, 51)=6 &  (k14_descip_1(A, 52)=10 &  (k14_descip_1(A, 53)=1 &  (k14_descip_1(A, 54)=13 &  (k14_descip_1(A, 55)=8 &  (k14_descip_1(A, 56)=9 &  (k14_descip_1(A, 57)=4 &  (k14_descip_1(A, 58)=5 &  (k14_descip_1(A, 59)=11 &  (k14_descip_1(A, 60)=12 &  (k14_descip_1(A, 61)=7 &  (k14_descip_1(A, 62)=2 & k14_descip_1(A, 63)=14) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_descip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, 64, 16) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(64, 16)))) )  =>  (A=k20_descip_1 <=>  (k14_descip_1(A, k5_numbers)=2 &  (k14_descip_1(A, 1)=12 &  (k14_descip_1(A, 2)=4 &  (k14_descip_1(A, 3)=1 &  (k14_descip_1(A, 4)=7 &  (k14_descip_1(A, 5)=10 &  (k14_descip_1(A, 6)=11 &  (k14_descip_1(A, 7)=6 &  (k14_descip_1(A, 8)=8 &  (k14_descip_1(A, 9)=5 &  (k14_descip_1(A, 10)=3 &  (k14_descip_1(A, 11)=15 &  (k14_descip_1(A, 12)=13 &  (k14_descip_1(A, 13)=k5_numbers &  (k14_descip_1(A, 14)=14 &  (k14_descip_1(A, 15)=9 &  (k14_descip_1(A, 16)=14 &  (k14_descip_1(A, 17)=11 &  (k14_descip_1(A, 18)=2 &  (k14_descip_1(A, 19)=12 &  (k14_descip_1(A, 20)=4 &  (k14_descip_1(A, 21)=7 &  (k14_descip_1(A, 22)=13 &  (k14_descip_1(A, 23)=1 &  (k14_descip_1(A, 24)=5 &  (k14_descip_1(A, 25)=k5_numbers &  (k14_descip_1(A, 26)=15 &  (k14_descip_1(A, 27)=10 &  (k14_descip_1(A, 28)=3 &  (k14_descip_1(A, 29)=9 &  (k14_descip_1(A, 30)=8 &  (k14_descip_1(A, 31)=6 &  (k14_descip_1(A, 32)=4 &  (k14_descip_1(A, 33)=2 &  (k14_descip_1(A, 34)=1 &  (k14_descip_1(A, 35)=11 &  (k14_descip_1(A, 36)=10 &  (k14_descip_1(A, 37)=13 &  (k14_descip_1(A, 38)=7 &  (k14_descip_1(A, 39)=8 &  (k14_descip_1(A, 40)=15 &  (k14_descip_1(A, 41)=9 &  (k14_descip_1(A, 42)=12 &  (k14_descip_1(A, 43)=5 &  (k14_descip_1(A, 44)=6 &  (k14_descip_1(A, 45)=3 &  (k14_descip_1(A, 46)=k5_numbers &  (k14_descip_1(A, 47)=14 &  (k14_descip_1(A, 48)=11 &  (k14_descip_1(A, 49)=8 &  (k14_descip_1(A, 50)=12 &  (k14_descip_1(A, 51)=7 &  (k14_descip_1(A, 52)=1 &  (k14_descip_1(A, 53)=14 &  (k14_descip_1(A, 54)=2 &  (k14_descip_1(A, 55)=13 &  (k14_descip_1(A, 56)=6 &  (k14_descip_1(A, 57)=15 &  (k14_descip_1(A, 58)=k5_numbers &  (k14_descip_1(A, 59)=9 &  (k14_descip_1(A, 60)=10 &  (k14_descip_1(A, 61)=4 &  (k14_descip_1(A, 62)=5 & k14_descip_1(A, 63)=3) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_descip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, 64, 16) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(64, 16)))) )  =>  (A=k21_descip_1 <=>  (k14_descip_1(A, k5_numbers)=12 &  (k14_descip_1(A, 1)=1 &  (k14_descip_1(A, 2)=10 &  (k14_descip_1(A, 3)=15 &  (k14_descip_1(A, 4)=9 &  (k14_descip_1(A, 5)=2 &  (k14_descip_1(A, 6)=6 &  (k14_descip_1(A, 7)=8 &  (k14_descip_1(A, 8)=k5_numbers &  (k14_descip_1(A, 9)=13 &  (k14_descip_1(A, 10)=3 &  (k14_descip_1(A, 11)=4 &  (k14_descip_1(A, 12)=14 &  (k14_descip_1(A, 13)=7 &  (k14_descip_1(A, 14)=5 &  (k14_descip_1(A, 15)=11 &  (k14_descip_1(A, 16)=10 &  (k14_descip_1(A, 17)=15 &  (k14_descip_1(A, 18)=4 &  (k14_descip_1(A, 19)=2 &  (k14_descip_1(A, 20)=7 &  (k14_descip_1(A, 21)=12 &  (k14_descip_1(A, 22)=9 &  (k14_descip_1(A, 23)=5 &  (k14_descip_1(A, 24)=6 &  (k14_descip_1(A, 25)=1 &  (k14_descip_1(A, 26)=13 &  (k14_descip_1(A, 27)=14 &  (k14_descip_1(A, 28)=k5_numbers &  (k14_descip_1(A, 29)=11 &  (k14_descip_1(A, 30)=3 &  (k14_descip_1(A, 31)=8 &  (k14_descip_1(A, 32)=9 &  (k14_descip_1(A, 33)=14 &  (k14_descip_1(A, 34)=15 &  (k14_descip_1(A, 35)=5 &  (k14_descip_1(A, 36)=2 &  (k14_descip_1(A, 37)=8 &  (k14_descip_1(A, 38)=12 &  (k14_descip_1(A, 39)=3 &  (k14_descip_1(A, 40)=7 &  (k14_descip_1(A, 41)=k5_numbers &  (k14_descip_1(A, 42)=4 &  (k14_descip_1(A, 43)=10 &  (k14_descip_1(A, 44)=1 &  (k14_descip_1(A, 45)=13 &  (k14_descip_1(A, 46)=11 &  (k14_descip_1(A, 47)=6 &  (k14_descip_1(A, 48)=4 &  (k14_descip_1(A, 49)=3 &  (k14_descip_1(A, 50)=2 &  (k14_descip_1(A, 51)=12 &  (k14_descip_1(A, 52)=9 &  (k14_descip_1(A, 53)=5 &  (k14_descip_1(A, 54)=15 &  (k14_descip_1(A, 55)=10 &  (k14_descip_1(A, 56)=11 &  (k14_descip_1(A, 57)=14 &  (k14_descip_1(A, 58)=1 &  (k14_descip_1(A, 59)=7 &  (k14_descip_1(A, 60)=6 &  (k14_descip_1(A, 61)=k5_numbers &  (k14_descip_1(A, 62)=8 & k14_descip_1(A, 63)=13) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_descip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, 64, 16) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(64, 16)))) )  =>  (A=k22_descip_1 <=>  (k14_descip_1(A, k5_numbers)=4 &  (k14_descip_1(A, 1)=11 &  (k14_descip_1(A, 2)=2 &  (k14_descip_1(A, 3)=14 &  (k14_descip_1(A, 4)=15 &  (k14_descip_1(A, 5)=k5_numbers &  (k14_descip_1(A, 6)=8 &  (k14_descip_1(A, 7)=13 &  (k14_descip_1(A, 8)=3 &  (k14_descip_1(A, 9)=12 &  (k14_descip_1(A, 10)=9 &  (k14_descip_1(A, 11)=7 &  (k14_descip_1(A, 12)=5 &  (k14_descip_1(A, 13)=10 &  (k14_descip_1(A, 14)=6 &  (k14_descip_1(A, 15)=1 &  (k14_descip_1(A, 16)=13 &  (k14_descip_1(A, 17)=k5_numbers &  (k14_descip_1(A, 18)=11 &  (k14_descip_1(A, 19)=7 &  (k14_descip_1(A, 20)=4 &  (k14_descip_1(A, 21)=9 &  (k14_descip_1(A, 22)=1 &  (k14_descip_1(A, 23)=10 &  (k14_descip_1(A, 24)=14 &  (k14_descip_1(A, 25)=3 &  (k14_descip_1(A, 26)=5 &  (k14_descip_1(A, 27)=12 &  (k14_descip_1(A, 28)=2 &  (k14_descip_1(A, 29)=15 &  (k14_descip_1(A, 30)=8 &  (k14_descip_1(A, 31)=6 &  (k14_descip_1(A, 32)=1 &  (k14_descip_1(A, 33)=4 &  (k14_descip_1(A, 34)=11 &  (k14_descip_1(A, 35)=13 &  (k14_descip_1(A, 36)=12 &  (k14_descip_1(A, 37)=3 &  (k14_descip_1(A, 38)=7 &  (k14_descip_1(A, 39)=14 &  (k14_descip_1(A, 40)=10 &  (k14_descip_1(A, 41)=15 &  (k14_descip_1(A, 42)=6 &  (k14_descip_1(A, 43)=8 &  (k14_descip_1(A, 44)=k5_numbers &  (k14_descip_1(A, 45)=5 &  (k14_descip_1(A, 46)=9 &  (k14_descip_1(A, 47)=2 &  (k14_descip_1(A, 48)=6 &  (k14_descip_1(A, 49)=11 &  (k14_descip_1(A, 50)=13 &  (k14_descip_1(A, 51)=8 &  (k14_descip_1(A, 52)=1 &  (k14_descip_1(A, 53)=4 &  (k14_descip_1(A, 54)=10 &  (k14_descip_1(A, 55)=7 &  (k14_descip_1(A, 56)=9 &  (k14_descip_1(A, 57)=5 &  (k14_descip_1(A, 58)=k5_numbers &  (k14_descip_1(A, 59)=15 &  (k14_descip_1(A, 60)=14 &  (k14_descip_1(A, 61)=2 &  (k14_descip_1(A, 62)=3 & k14_descip_1(A, 63)=12) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_descip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, 64, 16) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(64, 16)))) )  =>  (A=k23_descip_1 <=>  (k14_descip_1(A, k5_numbers)=13 &  (k14_descip_1(A, 1)=2 &  (k14_descip_1(A, 2)=8 &  (k14_descip_1(A, 3)=4 &  (k14_descip_1(A, 4)=6 &  (k14_descip_1(A, 5)=15 &  (k14_descip_1(A, 6)=11 &  (k14_descip_1(A, 7)=1 &  (k14_descip_1(A, 8)=10 &  (k14_descip_1(A, 9)=9 &  (k14_descip_1(A, 10)=3 &  (k14_descip_1(A, 11)=14 &  (k14_descip_1(A, 12)=5 &  (k14_descip_1(A, 13)=k5_numbers &  (k14_descip_1(A, 14)=12 &  (k14_descip_1(A, 15)=7 &  (k14_descip_1(A, 16)=1 &  (k14_descip_1(A, 17)=15 &  (k14_descip_1(A, 18)=13 &  (k14_descip_1(A, 19)=8 &  (k14_descip_1(A, 20)=10 &  (k14_descip_1(A, 21)=3 &  (k14_descip_1(A, 22)=7 &  (k14_descip_1(A, 23)=4 &  (k14_descip_1(A, 24)=12 &  (k14_descip_1(A, 25)=5 &  (k14_descip_1(A, 26)=5 &  (k14_descip_1(A, 27)=11 &  (k14_descip_1(A, 28)=k5_numbers &  (k14_descip_1(A, 29)=14 &  (k14_descip_1(A, 30)=9 &  (k14_descip_1(A, 31)=2 &  (k14_descip_1(A, 32)=7 &  (k14_descip_1(A, 33)=11 &  (k14_descip_1(A, 34)=4 &  (k14_descip_1(A, 35)=1 &  (k14_descip_1(A, 36)=9 &  (k14_descip_1(A, 37)=12 &  (k14_descip_1(A, 38)=14 &  (k14_descip_1(A, 39)=2 &  (k14_descip_1(A, 40)=k5_numbers &  (k14_descip_1(A, 41)=6 &  (k14_descip_1(A, 42)=10 &  (k14_descip_1(A, 43)=13 &  (k14_descip_1(A, 44)=15 &  (k14_descip_1(A, 45)=3 &  (k14_descip_1(A, 46)=5 &  (k14_descip_1(A, 47)=8 &  (k14_descip_1(A, 48)=2 &  (k14_descip_1(A, 49)=1 &  (k14_descip_1(A, 50)=14 &  (k14_descip_1(A, 51)=7 &  (k14_descip_1(A, 52)=4 &  (k14_descip_1(A, 53)=10 &  (k14_descip_1(A, 54)=8 &  (k14_descip_1(A, 55)=13 &  (k14_descip_1(A, 56)=15 &  (k14_descip_1(A, 57)=12 &  (k14_descip_1(A, 58)=9 &  (k14_descip_1(A, 59)=k5_numbers &  (k14_descip_1(A, 60)=3 &  (k14_descip_1(A, 61)=5 &  (k14_descip_1(A, 62)=6 & k14_descip_1(A, 63)=11) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_descip_1, axiom,  (! [A] :  (m2_finseq_2(A, k5_margrel1, k4_finseq_2(64, k5_margrel1)) =>  (! [B] :  (m2_finseq_2(B, k5_margrel1, k4_finseq_2(64, k5_margrel1)) =>  (B=k24_descip_1(A) <=>  (k10_descip_1(64, B, 1)=k10_descip_1(64, A, 58) &  (k10_descip_1(64, B, 2)=k10_descip_1(64, A, 50) &  (k10_descip_1(64, B, 3)=k10_descip_1(64, A, 42) &  (k10_descip_1(64, B, 4)=k10_descip_1(64, A, 34) &  (k10_descip_1(64, B, 5)=k10_descip_1(64, A, 26) &  (k10_descip_1(64, B, 6)=k10_descip_1(64, A, 18) &  (k10_descip_1(64, B, 7)=k10_descip_1(64, A, 10) &  (k10_descip_1(64, B, 8)=k10_descip_1(64, A, 2) &  (k10_descip_1(64, B, 9)=k10_descip_1(64, A, 60) &  (k10_descip_1(64, B, 10)=k10_descip_1(64, A, 52) &  (k10_descip_1(64, B, 11)=k10_descip_1(64, A, 44) &  (k10_descip_1(64, B, 12)=k10_descip_1(64, A, 36) &  (k10_descip_1(64, B, 13)=k10_descip_1(64, A, 28) &  (k10_descip_1(64, B, 14)=k10_descip_1(64, A, 20) &  (k10_descip_1(64, B, 15)=k10_descip_1(64, A, 12) &  (k10_descip_1(64, B, 16)=k10_descip_1(64, A, 4) &  (k10_descip_1(64, B, 17)=k10_descip_1(64, A, 62) &  (k10_descip_1(64, B, 18)=k10_descip_1(64, A, 54) &  (k10_descip_1(64, B, 19)=k10_descip_1(64, A, 46) &  (k10_descip_1(64, B, 20)=k10_descip_1(64, A, 38) &  (k10_descip_1(64, B, 21)=k10_descip_1(64, A, 30) &  (k10_descip_1(64, B, 22)=k10_descip_1(64, A, 22) &  (k10_descip_1(64, B, 23)=k10_descip_1(64, A, 14) &  (k10_descip_1(64, B, 24)=k10_descip_1(64, A, 6) &  (k10_descip_1(64, B, 25)=k10_descip_1(64, A, 64) &  (k10_descip_1(64, B, 26)=k10_descip_1(64, A, 56) &  (k10_descip_1(64, B, 27)=k10_descip_1(64, A, 48) &  (k10_descip_1(64, B, 28)=k10_descip_1(64, A, 40) &  (k10_descip_1(64, B, 29)=k10_descip_1(64, A, 32) &  (k10_descip_1(64, B, 30)=k10_descip_1(64, A, 24) &  (k10_descip_1(64, B, 31)=k10_descip_1(64, A, 16) &  (k10_descip_1(64, B, 32)=k10_descip_1(64, A, 8) &  (k10_descip_1(64, B, 33)=k10_descip_1(64, A, 57) &  (k10_descip_1(64, B, 34)=k10_descip_1(64, A, 49) &  (k10_descip_1(64, B, 35)=k10_descip_1(64, A, 41) &  (k10_descip_1(64, B, 36)=k10_descip_1(64, A, 33) &  (k10_descip_1(64, B, 37)=k10_descip_1(64, A, 25) &  (k10_descip_1(64, B, 38)=k10_descip_1(64, A, 17) &  (k10_descip_1(64, B, 39)=k10_descip_1(64, A, 9) &  (k10_descip_1(64, B, 40)=k10_descip_1(64, A, 1) &  (k10_descip_1(64, B, 41)=k10_descip_1(64, A, 59) &  (k10_descip_1(64, B, 42)=k10_descip_1(64, A, 51) &  (k10_descip_1(64, B, 43)=k10_descip_1(64, A, 43) &  (k10_descip_1(64, B, 44)=k10_descip_1(64, A, 35) &  (k10_descip_1(64, B, 45)=k10_descip_1(64, A, 27) &  (k10_descip_1(64, B, 46)=k10_descip_1(64, A, 19) &  (k10_descip_1(64, B, 47)=k10_descip_1(64, A, 11) &  (k10_descip_1(64, B, 48)=k10_descip_1(64, A, 3) &  (k10_descip_1(64, B, 49)=k10_descip_1(64, A, 61) &  (k10_descip_1(64, B, 50)=k10_descip_1(64, A, 53) &  (k10_descip_1(64, B, 51)=k10_descip_1(64, A, 45) &  (k10_descip_1(64, B, 52)=k10_descip_1(64, A, 37) &  (k10_descip_1(64, B, 53)=k10_descip_1(64, A, 29) &  (k10_descip_1(64, B, 54)=k10_descip_1(64, A, 21) &  (k10_descip_1(64, B, 55)=k10_descip_1(64, A, 13) &  (k10_descip_1(64, B, 56)=k10_descip_1(64, A, 5) &  (k10_descip_1(64, B, 57)=k10_descip_1(64, A, 63) &  (k10_descip_1(64, B, 58)=k10_descip_1(64, A, 55) &  (k10_descip_1(64, B, 59)=k10_descip_1(64, A, 47) &  (k10_descip_1(64, B, 60)=k10_descip_1(64, A, 39) &  (k10_descip_1(64, B, 61)=k10_descip_1(64, A, 31) &  (k10_descip_1(64, B, 62)=k10_descip_1(64, A, 23) &  (k10_descip_1(64, B, 63)=k10_descip_1(64, A, 15) & k10_descip_1(64, B, 64)=k10_descip_1(64, A, 7)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_descip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(64, k5_margrel1), k4_finseq_2(64, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(64, k5_margrel1), k4_finseq_2(64, k5_margrel1))))) )  =>  (A=k25_descip_1 <=>  (! [B] :  (m2_finseq_2(B, k5_margrel1, k4_finseq_2(64, k5_margrel1)) => k3_funct_2(k4_finseq_2(64, k5_margrel1), k4_finseq_2(64, k5_margrel1), A, B)=k24_descip_1(B)) ) ) ) ) ).
fof(d16_descip_1, axiom,  (! [A] :  (m2_finseq_2(A, k5_margrel1, k4_finseq_2(64, k5_margrel1)) =>  (! [B] :  (m2_finseq_2(B, k5_margrel1, k4_finseq_2(64, k5_margrel1)) =>  (B=k26_descip_1(A) <=>  (k10_descip_1(64, B, 1)=k10_descip_1(64, A, 40) &  (k10_descip_1(64, B, 2)=k10_descip_1(64, A, 8) &  (k10_descip_1(64, B, 3)=k10_descip_1(64, A, 48) &  (k10_descip_1(64, B, 4)=k10_descip_1(64, A, 16) &  (k10_descip_1(64, B, 5)=k10_descip_1(64, A, 56) &  (k10_descip_1(64, B, 6)=k10_descip_1(64, A, 24) &  (k10_descip_1(64, B, 7)=k10_descip_1(64, A, 64) &  (k10_descip_1(64, B, 8)=k10_descip_1(64, A, 32) &  (k10_descip_1(64, B, 9)=k10_descip_1(64, A, 39) &  (k10_descip_1(64, B, 10)=k10_descip_1(64, A, 7) &  (k10_descip_1(64, B, 11)=k10_descip_1(64, A, 47) &  (k10_descip_1(64, B, 12)=k10_descip_1(64, A, 15) &  (k10_descip_1(64, B, 13)=k10_descip_1(64, A, 55) &  (k10_descip_1(64, B, 14)=k10_descip_1(64, A, 23) &  (k10_descip_1(64, B, 15)=k10_descip_1(64, A, 63) &  (k10_descip_1(64, B, 16)=k10_descip_1(64, A, 31) &  (k10_descip_1(64, B, 17)=k10_descip_1(64, A, 38) &  (k10_descip_1(64, B, 18)=k10_descip_1(64, A, 6) &  (k10_descip_1(64, B, 19)=k10_descip_1(64, A, 46) &  (k10_descip_1(64, B, 20)=k10_descip_1(64, A, 14) &  (k10_descip_1(64, B, 21)=k10_descip_1(64, A, 54) &  (k10_descip_1(64, B, 22)=k10_descip_1(64, A, 22) &  (k10_descip_1(64, B, 23)=k10_descip_1(64, A, 62) &  (k10_descip_1(64, B, 24)=k10_descip_1(64, A, 30) &  (k10_descip_1(64, B, 25)=k10_descip_1(64, A, 37) &  (k10_descip_1(64, B, 26)=k10_descip_1(64, A, 5) &  (k10_descip_1(64, B, 27)=k10_descip_1(64, A, 45) &  (k10_descip_1(64, B, 28)=k10_descip_1(64, A, 13) &  (k10_descip_1(64, B, 29)=k10_descip_1(64, A, 53) &  (k10_descip_1(64, B, 30)=k10_descip_1(64, A, 21) &  (k10_descip_1(64, B, 31)=k10_descip_1(64, A, 61) &  (k10_descip_1(64, B, 32)=k10_descip_1(64, A, 29) &  (k10_descip_1(64, B, 33)=k10_descip_1(64, A, 36) &  (k10_descip_1(64, B, 34)=k10_descip_1(64, A, 4) &  (k10_descip_1(64, B, 35)=k10_descip_1(64, A, 44) &  (k10_descip_1(64, B, 36)=k10_descip_1(64, A, 12) &  (k10_descip_1(64, B, 37)=k10_descip_1(64, A, 52) &  (k10_descip_1(64, B, 38)=k10_descip_1(64, A, 20) &  (k10_descip_1(64, B, 39)=k10_descip_1(64, A, 60) &  (k10_descip_1(64, B, 40)=k10_descip_1(64, A, 28) &  (k10_descip_1(64, B, 41)=k10_descip_1(64, A, 35) &  (k10_descip_1(64, B, 42)=k10_descip_1(64, A, 3) &  (k10_descip_1(64, B, 43)=k10_descip_1(64, A, 43) &  (k10_descip_1(64, B, 44)=k10_descip_1(64, A, 11) &  (k10_descip_1(64, B, 45)=k10_descip_1(64, A, 51) &  (k10_descip_1(64, B, 46)=k10_descip_1(64, A, 19) &  (k10_descip_1(64, B, 47)=k10_descip_1(64, A, 59) &  (k10_descip_1(64, B, 48)=k10_descip_1(64, A, 27) &  (k10_descip_1(64, B, 49)=k10_descip_1(64, A, 34) &  (k10_descip_1(64, B, 50)=k10_descip_1(64, A, 2) &  (k10_descip_1(64, B, 51)=k10_descip_1(64, A, 42) &  (k10_descip_1(64, B, 52)=k10_descip_1(64, A, 10) &  (k10_descip_1(64, B, 53)=k10_descip_1(64, A, 50) &  (k10_descip_1(64, B, 54)=k10_descip_1(64, A, 18) &  (k10_descip_1(64, B, 55)=k10_descip_1(64, A, 58) &  (k10_descip_1(64, B, 56)=k10_descip_1(64, A, 26) &  (k10_descip_1(64, B, 57)=k10_descip_1(64, A, 33) &  (k10_descip_1(64, B, 58)=k10_descip_1(64, A, 1) &  (k10_descip_1(64, B, 59)=k10_descip_1(64, A, 41) &  (k10_descip_1(64, B, 60)=k10_descip_1(64, A, 9) &  (k10_descip_1(64, B, 61)=k10_descip_1(64, A, 49) &  (k10_descip_1(64, B, 62)=k10_descip_1(64, A, 17) &  (k10_descip_1(64, B, 63)=k10_descip_1(64, A, 57) & k10_descip_1(64, B, 64)=k10_descip_1(64, A, 25)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_descip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(64, k5_margrel1), k4_finseq_2(64, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(64, k5_margrel1), k4_finseq_2(64, k5_margrel1))))) )  =>  (A=k27_descip_1 <=>  (! [B] :  (m2_finseq_2(B, k5_margrel1, k4_finseq_2(64, k5_margrel1)) => k3_funct_2(k4_finseq_2(64, k5_margrel1), k4_finseq_2(64, k5_margrel1), A, B)=k26_descip_1(B)) ) ) ) ) ).
fof(t28_descip_1, axiom, r2_funct_2(k4_finseq_2(64, k5_margrel1), k4_finseq_2(64, k5_margrel1), k27_descip_1, k2_funct_2(k4_finseq_2(64, k5_margrel1), k25_descip_1))).
fof(d18_descip_1, axiom,  (! [A] :  (m2_finseq_2(A, k5_margrel1, k4_finseq_2(32, k5_margrel1)) =>  (! [B] :  (m2_finseq_2(B, k5_margrel1, k4_finseq_2(48, k5_margrel1)) =>  (B=k28_descip_1(A) <=>  (k10_descip_1(48, B, 1)=k10_descip_1(32, A, 32) &  (k10_descip_1(48, B, 2)=k10_descip_1(32, A, 1) &  (k10_descip_1(48, B, 3)=k10_descip_1(32, A, 2) &  (k10_descip_1(48, B, 4)=k10_descip_1(32, A, 3) &  (k10_descip_1(48, B, 5)=k10_descip_1(32, A, 4) &  (k10_descip_1(48, B, 6)=k10_descip_1(32, A, 5) &  (k10_descip_1(48, B, 7)=k10_descip_1(32, A, 4) &  (k10_descip_1(48, B, 8)=k10_descip_1(32, A, 5) &  (k10_descip_1(48, B, 9)=k10_descip_1(32, A, 6) &  (k10_descip_1(48, B, 10)=k10_descip_1(32, A, 7) &  (k10_descip_1(48, B, 11)=k10_descip_1(32, A, 8) &  (k10_descip_1(48, B, 12)=k10_descip_1(32, A, 9) &  (k10_descip_1(48, B, 13)=k10_descip_1(32, A, 8) &  (k10_descip_1(48, B, 14)=k10_descip_1(32, A, 9) &  (k10_descip_1(48, B, 15)=k10_descip_1(32, A, 10) &  (k10_descip_1(48, B, 16)=k10_descip_1(32, A, 11) &  (k10_descip_1(48, B, 17)=k10_descip_1(32, A, 12) &  (k10_descip_1(48, B, 18)=k10_descip_1(32, A, 13) &  (k10_descip_1(48, B, 19)=k10_descip_1(32, A, 12) &  (k10_descip_1(48, B, 20)=k10_descip_1(32, A, 13) &  (k10_descip_1(48, B, 21)=k10_descip_1(32, A, 14) &  (k10_descip_1(48, B, 22)=k10_descip_1(32, A, 15) &  (k10_descip_1(48, B, 23)=k10_descip_1(32, A, 16) &  (k10_descip_1(48, B, 24)=k10_descip_1(32, A, 17) &  (k10_descip_1(48, B, 25)=k10_descip_1(32, A, 16) &  (k10_descip_1(48, B, 26)=k10_descip_1(32, A, 17) &  (k10_descip_1(48, B, 27)=k10_descip_1(32, A, 18) &  (k10_descip_1(48, B, 28)=k10_descip_1(32, A, 19) &  (k10_descip_1(48, B, 29)=k10_descip_1(32, A, 20) &  (k10_descip_1(48, B, 30)=k10_descip_1(32, A, 21) &  (k10_descip_1(48, B, 31)=k10_descip_1(32, A, 20) &  (k10_descip_1(48, B, 32)=k10_descip_1(32, A, 21) &  (k10_descip_1(48, B, 33)=k10_descip_1(32, A, 22) &  (k10_descip_1(48, B, 34)=k10_descip_1(32, A, 23) &  (k10_descip_1(48, B, 35)=k10_descip_1(32, A, 24) &  (k10_descip_1(48, B, 36)=k10_descip_1(32, A, 25) &  (k10_descip_1(48, B, 37)=k10_descip_1(32, A, 24) &  (k10_descip_1(48, B, 38)=k10_descip_1(32, A, 25) &  (k10_descip_1(48, B, 39)=k10_descip_1(32, A, 26) &  (k10_descip_1(48, B, 40)=k10_descip_1(32, A, 27) &  (k10_descip_1(48, B, 41)=k10_descip_1(32, A, 28) &  (k10_descip_1(48, B, 42)=k10_descip_1(32, A, 29) &  (k10_descip_1(48, B, 43)=k10_descip_1(32, A, 28) &  (k10_descip_1(48, B, 44)=k10_descip_1(32, A, 29) &  (k10_descip_1(48, B, 45)=k10_descip_1(32, A, 30) &  (k10_descip_1(48, B, 46)=k10_descip_1(32, A, 31) &  (k10_descip_1(48, B, 47)=k10_descip_1(32, A, 32) & k10_descip_1(48, B, 48)=k10_descip_1(32, A, 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_descip_1, axiom,  (! [A] :  (m2_finseq_2(A, k5_margrel1, k4_finseq_2(32, k5_margrel1)) =>  (! [B] :  (m2_finseq_2(B, k5_margrel1, k4_finseq_2(32, k5_margrel1)) =>  (B=k29_descip_1(A) <=>  (k10_descip_1(32, B, 1)=k10_descip_1(32, A, 16) &  (k10_descip_1(32, B, 2)=k10_descip_1(32, A, 7) &  (k10_descip_1(32, B, 3)=k10_descip_1(32, A, 20) &  (k10_descip_1(32, B, 4)=k10_descip_1(32, A, 21) &  (k10_descip_1(32, B, 5)=k10_descip_1(32, A, 29) &  (k10_descip_1(32, B, 6)=k10_descip_1(32, A, 12) &  (k10_descip_1(32, B, 7)=k10_descip_1(32, A, 28) &  (k10_descip_1(32, B, 8)=k10_descip_1(32, A, 17) &  (k10_descip_1(32, B, 9)=k10_descip_1(32, A, 1) &  (k10_descip_1(32, B, 10)=k10_descip_1(32, A, 15) &  (k10_descip_1(32, B, 11)=k10_descip_1(32, A, 23) &  (k10_descip_1(32, B, 12)=k10_descip_1(32, A, 26) &  (k10_descip_1(32, B, 13)=k10_descip_1(32, A, 5) &  (k10_descip_1(32, B, 14)=k10_descip_1(32, A, 18) &  (k10_descip_1(32, B, 15)=k10_descip_1(32, A, 31) &  (k10_descip_1(32, B, 16)=k10_descip_1(32, A, 10) &  (k10_descip_1(32, B, 17)=k10_descip_1(32, A, 2) &  (k10_descip_1(32, B, 18)=k10_descip_1(32, A, 8) &  (k10_descip_1(32, B, 19)=k10_descip_1(32, A, 24) &  (k10_descip_1(32, B, 20)=k10_descip_1(32, A, 14) &  (k10_descip_1(32, B, 21)=k10_descip_1(32, A, 32) &  (k10_descip_1(32, B, 22)=k10_descip_1(32, A, 27) &  (k10_descip_1(32, B, 23)=k10_descip_1(32, A, 3) &  (k10_descip_1(32, B, 24)=k10_descip_1(32, A, 9) &  (k10_descip_1(32, B, 25)=k10_descip_1(32, A, 19) &  (k10_descip_1(32, B, 26)=k10_descip_1(32, A, 13) &  (k10_descip_1(32, B, 27)=k10_descip_1(32, A, 30) &  (k10_descip_1(32, B, 28)=k10_descip_1(32, A, 6) &  (k10_descip_1(32, B, 29)=k10_descip_1(32, A, 22) &  (k10_descip_1(32, B, 30)=k10_descip_1(32, A, 11) &  (k10_descip_1(32, B, 31)=k10_descip_1(32, A, 4) & k10_descip_1(32, B, 32)=k10_descip_1(32, A, 25)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d20_descip_1, axiom,  (! [A] :  (m2_finseq_2(A, k5_margrel1, k4_finseq_2(48, k5_margrel1)) =>  (! [B] :  (m2_finseq_2(B, k4_finseq_2(6, k5_margrel1), k4_finseq_2(8, k4_finseq_2(6, k5_margrel1))) =>  (B=k30_descip_1(A) <=>  (k1_funct_1(B, 1)=k2_descip_1(k5_margrel1, 6, A) &  (k1_funct_1(B, 2)=k2_descip_1(k5_margrel1, 6, k3_descip_1(k5_margrel1, 6, A)) &  (k1_funct_1(B, 3)=k2_descip_1(k5_margrel1, 6, k3_descip_1(k5_margrel1, 12, A)) &  (k1_funct_1(B, 4)=k2_descip_1(k5_margrel1, 6, k3_descip_1(k5_margrel1, 18, A)) &  (k1_funct_1(B, 5)=k2_descip_1(k5_margrel1, 6, k3_descip_1(k5_margrel1, 24, A)) &  (k1_funct_1(B, 6)=k2_descip_1(k5_margrel1, 6, k3_descip_1(k5_margrel1, 30, A)) &  (k1_funct_1(B, 7)=k2_descip_1(k5_margrel1, 6, k3_descip_1(k5_margrel1, 36, A)) & k1_funct_1(B, 8)=k3_descip_1(k5_margrel1, 42, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_descip_1, axiom,  (! [A] :  (m2_finseq_2(A, k5_margrel1, k4_finseq_2(48, k5_margrel1)) =>  (? [B] :  (m2_finseq_2(B, k5_margrel1, k4_finseq_2(6, k5_margrel1)) &  (? [C] :  (m2_finseq_2(C, k5_margrel1, k4_finseq_2(6, k5_margrel1)) &  (? [D] :  (m2_finseq_2(D, k5_margrel1, k4_finseq_2(6, k5_margrel1)) &  (? [E] :  (m2_finseq_2(E, k5_margrel1, k4_finseq_2(6, k5_margrel1)) &  (? [F] :  (m2_finseq_2(F, k5_margrel1, k4_finseq_2(6, k5_margrel1)) &  (? [G] :  (m2_finseq_2(G, k5_margrel1, k4_finseq_2(6, k5_margrel1)) &  (? [H] :  (m2_finseq_2(H, k5_margrel1, k4_finseq_2(6, k5_margrel1)) &  (? [I] :  (m2_finseq_2(I, k5_margrel1, k4_finseq_2(6, k5_margrel1)) &  (B=k1_funct_1(k30_descip_1(A), 1) &  (C=k1_funct_1(k30_descip_1(A), 2) &  (D=k1_funct_1(k30_descip_1(A), 3) &  (E=k1_funct_1(k30_descip_1(A), 4) &  (F=k1_funct_1(k30_descip_1(A), 5) &  (G=k1_funct_1(k30_descip_1(A), 6) &  (H=k1_funct_1(k30_descip_1(A), 7) &  (I=k1_funct_1(k30_descip_1(A), 8) & A=k9_binarith(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(6, 6), 6), 6), 6), 6), 6), 6, k5_margrel1, k9_binarith(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(6, 6), 6), 6), 6), 6), 6, k5_margrel1, k9_binarith(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(6, 6), 6), 6), 6), 6, k5_margrel1, k9_binarith(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(6, 6), 6), 6), 6, k5_margrel1, k9_binarith(k2_xcmplx_0(k2_xcmplx_0(6, 6), 6), 6, k5_margrel1, k9_binarith(k2_xcmplx_0(6, 6), 6, k5_margrel1, k9_binarith(6, 6, k5_margrel1, B, C), D), E), F), G), H), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d21_descip_1, axiom,  (! [A] :  (m2_finseq_2(A, k5_margrel1, k4_finseq_2(6, k5_margrel1)) => k31_descip_1(A)=k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(32, k10_descip_1(6, A, 1)), k3_xcmplx_0(16, k10_descip_1(6, A, 6))), k3_xcmplx_0(8, k10_descip_1(6, A, 2))), k3_xcmplx_0(4, k10_descip_1(6, A, 3))), k3_xcmplx_0(2, k10_descip_1(6, A, 4))), k3_xcmplx_0(1, k10_descip_1(6, A, 5)))) ) ).
fof(d22_descip_1, axiom,  (! [A] :  (m1_subset_1(A, 16) =>  ( (A=k5_numbers => k32_descip_1(A)=k9_finseq_4(k5_margrel1, k6_margrel1, k6_margrel1, k6_margrel1, k6_margrel1))  &  ( (A=1 => k32_descip_1(A)=k9_finseq_4(k5_margrel1, k6_margrel1, k6_margrel1, k6_margrel1, k7_margrel1))  &  ( (A=2 => k32_descip_1(A)=k9_finseq_4(k5_margrel1, k6_margrel1, k6_margrel1, k7_margrel1, k6_margrel1))  &  ( (A=3 => k32_descip_1(A)=k9_finseq_4(k5_margrel1, k6_margrel1, k6_margrel1, k7_margrel1, k7_margrel1))  &  ( (A=4 => k32_descip_1(A)=k9_finseq_4(k5_margrel1, k6_margrel1, k7_margrel1, k6_margrel1, k6_margrel1))  &  ( (A=5 => k32_descip_1(A)=k9_finseq_4(k5_margrel1, k6_margrel1, k7_margrel1, k6_margrel1, k7_margrel1))  &  ( (A=6 => k32_descip_1(A)=k9_finseq_4(k5_margrel1, k6_margrel1, k7_margrel1, k7_margrel1, k6_margrel1))  &  ( (A=7 => k32_descip_1(A)=k9_finseq_4(k5_margrel1, k6_margrel1, k7_margrel1, k7_margrel1, k7_margrel1))  &  ( (A=8 => k32_descip_1(A)=k9_finseq_4(k5_margrel1, k7_margrel1, k6_margrel1, k6_margrel1, k6_margrel1))  &  ( (A=9 => k32_descip_1(A)=k9_finseq_4(k5_margrel1, k7_margrel1, k6_margrel1, k6_margrel1, k7_margrel1))  &  ( (A=10 => k32_descip_1(A)=k9_finseq_4(k5_margrel1, k7_margrel1, k6_margrel1, k7_margrel1, k6_margrel1))  &  ( (A=11 => k32_descip_1(A)=k9_finseq_4(k5_margrel1, k7_margrel1, k6_margrel1, k7_margrel1, k7_margrel1))  &  ( (A=12 => k32_descip_1(A)=k9_finseq_4(k5_margrel1, k7_margrel1, k7_margrel1, k6_margrel1, k6_margrel1))  &  ( (A=13 => k32_descip_1(A)=k9_finseq_4(k5_margrel1, k7_margrel1, k7_margrel1, k6_margrel1, k7_margrel1))  &  ( (A=15 => k32_descip_1(A)=k9_finseq_4(k5_margrel1, k7_margrel1, k7_margrel1, k7_margrel1, k6_margrel1))  &  (A=16 => k32_descip_1(A)=k9_finseq_4(k5_margrel1, k7_margrel1, k7_margrel1, k7_margrel1, k7_margrel1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d23_descip_1, axiom,  (! [A] :  (m2_finseq_2(A, k5_margrel1, k4_finseq_2(32, k5_margrel1)) =>  (! [B] :  (m2_finseq_2(B, k5_margrel1, k4_finseq_2(48, k5_margrel1)) =>  (! [C] :  (m2_finseq_2(C, k5_margrel1, k4_finseq_2(32, k5_margrel1)) =>  (C=k33_descip_1(A, B) <=>  (? [D] :  (m2_finseq_2(D, k5_margrel1, k4_finseq_2(6, k5_margrel1)) &  (? [E] :  (m2_finseq_2(E, k5_margrel1, k4_finseq_2(6, k5_margrel1)) &  (? [F] :  (m2_finseq_2(F, k5_margrel1, k4_finseq_2(6, k5_margrel1)) &  (? [G] :  (m2_finseq_2(G, k5_margrel1, k4_finseq_2(6, k5_margrel1)) &  (? [H] :  (m2_finseq_2(H, k5_margrel1, k4_finseq_2(6, k5_margrel1)) &  (? [I] :  (m2_finseq_2(I, k5_margrel1, k4_finseq_2(6, k5_margrel1)) &  (? [J] :  (m2_finseq_2(J, k5_margrel1, k4_finseq_2(6, k5_margrel1)) &  (? [K] :  (m2_finseq_2(K, k5_margrel1, k4_finseq_2(6, k5_margrel1)) &  (? [L] :  (m2_finseq_2(L, k5_margrel1, k4_finseq_2(4, k5_margrel1)) &  (? [M] :  (m2_finseq_2(M, k5_margrel1, k4_finseq_2(4, k5_margrel1)) &  (? [N] :  (m2_finseq_2(N, k5_margrel1, k4_finseq_2(4, k5_margrel1)) &  (? [O] :  (m2_finseq_2(O, k5_margrel1, k4_finseq_2(4, k5_margrel1)) &  (? [P] :  (m2_finseq_2(P, k5_margrel1, k4_finseq_2(4, k5_margrel1)) &  (? [Q] :  (m2_finseq_2(Q, k5_margrel1, k4_finseq_2(4, k5_margrel1)) &  (? [R] :  (m2_finseq_2(R, k5_margrel1, k4_finseq_2(4, k5_margrel1)) &  (? [S] :  (m2_finseq_2(S, k5_margrel1, k4_finseq_2(4, k5_margrel1)) &  (? [T] :  (m2_finseq_2(T, k5_margrel1, k4_finseq_2(32, k5_margrel1)) &  (D=k1_funct_1(k30_descip_1(k11_descip_1(48, k28_descip_1(A), B)), 1) &  (E=k1_funct_1(k30_descip_1(k11_descip_1(48, k28_descip_1(A), B)), 2) &  (F=k1_funct_1(k30_descip_1(k11_descip_1(48, k28_descip_1(A), B)), 3) &  (G=k1_funct_1(k30_descip_1(k11_descip_1(48, k28_descip_1(A), B)), 4) &  (H=k1_funct_1(k30_descip_1(k11_descip_1(48, k28_descip_1(A), B)), 5) &  (I=k1_funct_1(k30_descip_1(k11_descip_1(48, k28_descip_1(A), B)), 6) &  (J=k1_funct_1(k30_descip_1(k11_descip_1(48, k28_descip_1(A), B)), 7) &  (K=k1_funct_1(k30_descip_1(k11_descip_1(48, k28_descip_1(A), B)), 8) &  (k11_descip_1(48, k28_descip_1(A), B)=k9_binarith(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(6, 6), 6), 6), 6), 6), 6), 6, k5_margrel1, k9_binarith(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(6, 6), 6), 6), 6), 6), 6, k5_margrel1, k9_binarith(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(6, 6), 6), 6), 6), 6, k5_margrel1, k9_binarith(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(6, 6), 6), 6), 6, k5_margrel1, k9_binarith(k2_xcmplx_0(k2_xcmplx_0(6, 6), 6), 6, k5_margrel1, k9_binarith(k2_xcmplx_0(6, 6), 6, k5_margrel1, k9_binarith(6, 6, k5_margrel1, D, E), F), G), H), I), J), K) &  (L=k32_descip_1(k14_descip_1(k16_descip_1, k31_descip_1(D))) &  (M=k32_descip_1(k14_descip_1(k17_descip_1, k31_descip_1(E))) &  (N=k32_descip_1(k14_descip_1(k18_descip_1, k31_descip_1(F))) &  (O=k32_descip_1(k14_descip_1(k19_descip_1, k31_descip_1(G))) &  (P=k32_descip_1(k14_descip_1(k20_descip_1, k31_descip_1(H))) &  (Q=k32_descip_1(k14_descip_1(k21_descip_1, k31_descip_1(I))) &  (R=k32_descip_1(k14_descip_1(k22_descip_1, k31_descip_1(J))) &  (S=k32_descip_1(k14_descip_1(k23_descip_1, k31_descip_1(K))) &  (T=k9_binarith(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(4, 4), 4), 4), 4), 4), 4), 4, k5_margrel1, k9_binarith(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(4, 4), 4), 4), 4), 4), 4, k5_margrel1, k9_binarith(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(4, 4), 4), 4), 4), 4, k5_margrel1, k9_binarith(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(4, 4), 4), 4), 4, k5_margrel1, k9_binarith(k2_xcmplx_0(k2_xcmplx_0(4, 4), 4), 4, k5_margrel1, k9_binarith(k2_xcmplx_0(4, 4), 4, k5_margrel1, k9_binarith(4, 4, k5_margrel1, L, M), N), O), P), Q), R), S) & C=k29_descip_1(T)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d24_descip_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_finseq_2(32, k5_margrel1), k4_finseq_2(48, k5_margrel1)), k4_finseq_2(32, k5_margrel1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(32, k5_margrel1), k4_finseq_2(48, k5_margrel1)), k4_finseq_2(32, k5_margrel1))))) )  =>  (A=k34_descip_1 <=>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k4_finseq_2(32, k5_margrel1), k4_finseq_2(48, k5_margrel1))) => k3_funct_2(k2_zfmisc_1(k4_finseq_2(32, k5_margrel1), k4_finseq_2(48, k5_margrel1)), k4_finseq_2(32, k5_margrel1), A, B)=k33_descip_1(k2_domain_1(k4_finseq_2(32, k5_margrel1), k4_finseq_2(48, k5_margrel1), B), k3_domain_1(k4_finseq_2(32, k5_margrel1), k4_finseq_2(48, k5_margrel1), B))) ) ) ) ) ).
fof(d25_descip_1, axiom,  (! [A] :  (m2_finseq_2(A, k5_margrel1, k4_finseq_2(64, k5_margrel1)) =>  (! [B] :  (m2_finseq_2(B, k5_margrel1, k4_finseq_2(56, k5_margrel1)) =>  (B=k35_descip_1(A) <=>  (k10_descip_1(56, B, 1)=k10_descip_1(64, A, 57) &  (k10_descip_1(56, B, 2)=k10_descip_1(64, A, 49) &  (k10_descip_1(56, B, 3)=k10_descip_1(64, A, 41) &  (k10_descip_1(56, B, 4)=k10_descip_1(64, A, 33) &  (k10_descip_1(56, B, 5)=k10_descip_1(64, A, 25) &  (k10_descip_1(56, B, 6)=k10_descip_1(64, A, 17) &  (k10_descip_1(56, B, 7)=k10_descip_1(64, A, 9) &  (k10_descip_1(56, B, 8)=k10_descip_1(64, A, 1) &  (k10_descip_1(56, B, 9)=k10_descip_1(64, A, 58) &  (k10_descip_1(56, B, 10)=k10_descip_1(64, A, 50) &  (k10_descip_1(56, B, 11)=k10_descip_1(64, A, 42) &  (k10_descip_1(56, B, 12)=k10_descip_1(64, A, 34) &  (k10_descip_1(56, B, 13)=k10_descip_1(64, A, 26) &  (k10_descip_1(56, B, 14)=k10_descip_1(64, A, 18) &  (k10_descip_1(56, B, 15)=k10_descip_1(64, A, 10) &  (k10_descip_1(56, B, 16)=k10_descip_1(64, A, 2) &  (k10_descip_1(56, B, 17)=k10_descip_1(64, A, 59) &  (k10_descip_1(56, B, 18)=k10_descip_1(64, A, 51) &  (k10_descip_1(56, B, 19)=k10_descip_1(64, A, 43) &  (k10_descip_1(56, B, 20)=k10_descip_1(64, A, 35) &  (k10_descip_1(56, B, 21)=k10_descip_1(64, A, 27) &  (k10_descip_1(56, B, 22)=k10_descip_1(64, A, 19) &  (k10_descip_1(56, B, 23)=k10_descip_1(64, A, 11) &  (k10_descip_1(56, B, 24)=k10_descip_1(64, A, 3) &  (k10_descip_1(56, B, 25)=k10_descip_1(64, A, 60) &  (k10_descip_1(56, B, 26)=k10_descip_1(64, A, 52) &  (k10_descip_1(56, B, 27)=k10_descip_1(64, A, 44) &  (k10_descip_1(56, B, 28)=k10_descip_1(64, A, 36) &  (k10_descip_1(56, B, 29)=k10_descip_1(64, A, 63) &  (k10_descip_1(56, B, 30)=k10_descip_1(64, A, 55) &  (k10_descip_1(56, B, 31)=k10_descip_1(64, A, 47) &  (k10_descip_1(56, B, 32)=k10_descip_1(64, A, 39) &  (k10_descip_1(56, B, 33)=k10_descip_1(64, A, 31) &  (k10_descip_1(56, B, 34)=k10_descip_1(64, A, 23) &  (k10_descip_1(56, B, 35)=k10_descip_1(64, A, 15) &  (k10_descip_1(56, B, 36)=k10_descip_1(64, A, 7) &  (k10_descip_1(56, B, 37)=k10_descip_1(64, A, 62) &  (k10_descip_1(56, B, 38)=k10_descip_1(64, A, 54) &  (k10_descip_1(56, B, 39)=k10_descip_1(64, A, 46) &  (k10_descip_1(56, B, 40)=k10_descip_1(64, A, 38) &  (k10_descip_1(56, B, 41)=k10_descip_1(64, A, 30) &  (k10_descip_1(56, B, 42)=k10_descip_1(64, A, 22) &  (k10_descip_1(56, B, 43)=k10_descip_1(64, A, 14) &  (k10_descip_1(56, B, 44)=k10_descip_1(64, A, 6) &  (k10_descip_1(56, B, 45)=k10_descip_1(64, A, 61) &  (k10_descip_1(56, B, 46)=k10_descip_1(64, A, 53) &  (k10_descip_1(56, B, 47)=k10_descip_1(64, A, 45) &  (k10_descip_1(56, B, 48)=k10_descip_1(64, A, 37) &  (k10_descip_1(56, B, 49)=k10_descip_1(64, A, 29) &  (k10_descip_1(56, B, 50)=k10_descip_1(64, A, 21) &  (k10_descip_1(56, B, 51)=k10_descip_1(64, A, 13) &  (k10_descip_1(56, B, 52)=k10_descip_1(64, A, 5) &  (k10_descip_1(56, B, 53)=k10_descip_1(64, A, 28) &  (k10_descip_1(56, B, 54)=k10_descip_1(64, A, 20) &  (k10_descip_1(56, B, 55)=k10_descip_1(64, A, 12) & k10_descip_1(56, B, 56)=k10_descip_1(64, A, 4)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d26_descip_1, axiom,  (! [A] :  (m2_finseq_2(A, k5_margrel1, k4_finseq_2(56, k5_margrel1)) =>  (! [B] :  (m2_finseq_2(B, k5_margrel1, k4_finseq_2(48, k5_margrel1)) =>  (B=k36_descip_1(A) <=>  (k10_descip_1(48, B, 1)=k10_descip_1(56, A, 14) &  (k10_descip_1(48, B, 2)=k10_descip_1(56, A, 17) &  (k10_descip_1(48, B, 3)=k10_descip_1(56, A, 11) &  (k10_descip_1(48, B, 4)=k10_descip_1(56, A, 24) &  (k10_descip_1(48, B, 5)=k10_descip_1(56, A, 1) &  (k10_descip_1(48, B, 6)=k10_descip_1(56, A, 5) &  (k10_descip_1(48, B, 7)=k10_descip_1(56, A, 3) &  (k10_descip_1(48, B, 8)=k10_descip_1(56, A, 28) &  (k10_descip_1(48, B, 9)=k10_descip_1(56, A, 15) &  (k10_descip_1(48, B, 10)=k10_descip_1(56, A, 6) &  (k10_descip_1(48, B, 11)=k10_descip_1(56, A, 21) &  (k10_descip_1(48, B, 12)=k10_descip_1(56, A, 10) &  (k10_descip_1(48, B, 13)=k10_descip_1(56, A, 23) &  (k10_descip_1(48, B, 14)=k10_descip_1(56, A, 19) &  (k10_descip_1(48, B, 15)=k10_descip_1(56, A, 12) &  (k10_descip_1(48, B, 16)=k10_descip_1(56, A, 4) &  (k10_descip_1(48, B, 17)=k10_descip_1(56, A, 26) &  (k10_descip_1(48, B, 18)=k10_descip_1(56, A, 8) &  (k10_descip_1(48, B, 19)=k10_descip_1(56, A, 16) &  (k10_descip_1(48, B, 20)=k10_descip_1(56, A, 7) &  (k10_descip_1(48, B, 21)=k10_descip_1(56, A, 27) &  (k10_descip_1(48, B, 22)=k10_descip_1(56, A, 20) &  (k10_descip_1(48, B, 23)=k10_descip_1(56, A, 13) &  (k10_descip_1(48, B, 24)=k10_descip_1(56, A, 2) &  (k10_descip_1(48, B, 25)=k10_descip_1(56, A, 41) &  (k10_descip_1(48, B, 26)=k10_descip_1(56, A, 52) &  (k10_descip_1(48, B, 27)=k10_descip_1(56, A, 31) &  (k10_descip_1(48, B, 28)=k10_descip_1(56, A, 37) &  (k10_descip_1(48, B, 29)=k10_descip_1(56, A, 47) &  (k10_descip_1(48, B, 30)=k10_descip_1(56, A, 55) &  (k10_descip_1(48, B, 31)=k10_descip_1(56, A, 30) &  (k10_descip_1(48, B, 32)=k10_descip_1(56, A, 40) &  (k10_descip_1(48, B, 33)=k10_descip_1(56, A, 51) &  (k10_descip_1(48, B, 34)=k10_descip_1(56, A, 45) &  (k10_descip_1(48, B, 35)=k10_descip_1(56, A, 33) &  (k10_descip_1(48, B, 36)=k10_descip_1(56, A, 48) &  (k10_descip_1(48, B, 37)=k10_descip_1(56, A, 44) &  (k10_descip_1(48, B, 38)=k10_descip_1(56, A, 49) &  (k10_descip_1(48, B, 39)=k10_descip_1(56, A, 39) &  (k10_descip_1(48, B, 40)=k10_descip_1(56, A, 56) &  (k10_descip_1(48, B, 41)=k10_descip_1(56, A, 34) &  (k10_descip_1(48, B, 42)=k10_descip_1(56, A, 53) &  (k10_descip_1(48, B, 43)=k10_descip_1(56, A, 46) &  (k10_descip_1(48, B, 44)=k10_descip_1(56, A, 42) &  (k10_descip_1(48, B, 45)=k10_descip_1(56, A, 50) &  (k10_descip_1(48, B, 46)=k10_descip_1(56, A, 36) &  (k10_descip_1(48, B, 47)=k10_descip_1(56, A, 29) & k10_descip_1(48, B, 48)=k10_descip_1(56, A, 32)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d27_descip_1, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  (A=k37_descip_1 <=>  (v3_card_1(A, 16) &  (k1_funct_1(A, 1)=1 &  (k1_funct_1(A, 2)=1 &  (k1_funct_1(A, 3)=2 &  (k1_funct_1(A, 4)=2 &  (k1_funct_1(A, 5)=2 &  (k1_funct_1(A, 6)=2 &  (k1_funct_1(A, 7)=2 &  (k1_funct_1(A, 8)=2 &  (k1_funct_1(A, 9)=1 &  (k1_funct_1(A, 10)=2 &  (k1_funct_1(A, 11)=2 &  (k1_funct_1(A, 12)=2 &  (k1_funct_1(A, 13)=2 &  (k1_funct_1(A, 14)=2 &  (k1_funct_1(A, 15)=2 & k1_funct_1(A, 16)=1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d28_descip_1, axiom,  (! [A] :  (m2_finseq_2(A, k5_margrel1, k4_finseq_2(64, k5_margrel1)) =>  (! [B] :  (m2_finseq_2(B, k4_finseq_2(48, k5_margrel1), k4_finseq_2(16, k4_finseq_2(48, k5_margrel1))) =>  (B=k38_descip_1(A) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_finseq_2(28, k5_margrel1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_finseq_2(28, k5_margrel1))))) )  &  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_finseq_2(28, k5_margrel1)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_finseq_2(28, k5_margrel1))))) )  &  (k13_descip_1(28, k5_margrel1, C, k5_numbers)=k2_descip_1(k5_margrel1, 28, k35_descip_1(A)) &  (k13_descip_1(28, k5_margrel1, D, k5_numbers)=k3_descip_1(k5_margrel1, 28, k35_descip_1(A)) &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( (r1_xxreal_0(k5_numbers, E) & r1_xxreal_0(E, 15))  =>  (k1_funct_1(B, k1_nat_1(E, 1))=k36_descip_1(k9_descip_1(k13_descip_1(28, k5_margrel1, C, k1_nat_1(E, 1)), k13_descip_1(28, k5_margrel1, D, k1_nat_1(E, 1)))) &  (k13_descip_1(28, k5_margrel1, C, k1_nat_1(E, 1))=k8_descip_1(k5_margrel1, k13_descip_1(28, k5_margrel1, C, E), k1_funct_1(k37_descip_1, E)) & k13_descip_1(28, k5_margrel1, D, k1_nat_1(E, 1))=k8_descip_1(k5_margrel1, k13_descip_1(28, k5_margrel1, D, E), k1_funct_1(k37_descip_1, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d29_descip_1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & m1_subset_1(C, k4_ordinal1))  =>  (! [D] :  (m2_finseq_2(D, k4_finseq_2(B, k5_margrel1), k4_finseq_2(C, k4_finseq_2(B, k5_margrel1))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(k4_finseq_2(A, k5_margrel1), k4_finseq_2(B, k5_margrel1)), k4_finseq_2(A, k5_margrel1)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A, k5_margrel1), k4_finseq_2(B, k5_margrel1)), k4_finseq_2(A, k5_margrel1))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_finseq_2(k2_nat_1(2, A), k5_margrel1), k4_finseq_2(k2_nat_1(2, A), k5_margrel1)) &  (v3_funct_2(F, k4_finseq_2(k2_nat_1(2, A), k5_margrel1), k4_finseq_2(k2_nat_1(2, A), k5_margrel1)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(k2_nat_1(2, A), k5_margrel1), k4_finseq_2(k2_nat_1(2, A), k5_margrel1))))) ) )  =>  (! [G] :  (m2_finseq_2(G, k5_margrel1, k4_finseq_2(k2_nat_1(2, A), k5_margrel1)) =>  (! [H] :  (m2_finseq_2(H, k5_margrel1, k4_finseq_2(k2_nat_1(2, A), k5_margrel1)) =>  (H=k39_descip_1(A, B, C, D, E, F, G) <=>  (? [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, k4_ordinal1, k4_finseq_2(A, k5_margrel1)) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_finseq_2(A, k5_margrel1))))) )  &  (? [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, k4_ordinal1, k4_finseq_2(A, k5_margrel1)) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_finseq_2(A, k5_margrel1))))) )  &  (k13_descip_1(A, k5_margrel1, I, k5_numbers)=k4_descip_1(k5_margrel1, A, k3_funct_2(k4_finseq_2(k2_nat_1(2, A), k5_margrel1), k4_finseq_2(k2_nat_1(2, A), k5_margrel1), F, G)) &  (k13_descip_1(A, k5_margrel1, J, k5_numbers)=k5_descip_1(k5_margrel1, A, k3_funct_2(k4_finseq_2(k2_nat_1(2, A), k5_margrel1), k4_finseq_2(k2_nat_1(2, A), k5_margrel1), F, G)) &  ( (! [K] :  (v7_ordinal1(K) =>  ( (r1_xxreal_0(k5_numbers, K) & r1_xxreal_0(K, k6_xcmplx_0(C, 1)))  =>  (k13_descip_1(A, k5_margrel1, I, k1_nat_1(K, 1))=k13_descip_1(A, k5_margrel1, J, K) & k13_descip_1(A, k5_margrel1, J, k1_nat_1(K, 1))=k11_descip_1(A, k13_descip_1(A, k5_margrel1, I, K), k2_binop_1(k4_finseq_2(A, k5_margrel1), k4_finseq_2(B, k5_margrel1), k4_finseq_2(A, k5_margrel1), E, k13_descip_1(A, k5_margrel1, J, K), k7_partfun1(k4_finseq_2(B, k5_margrel1), D, k1_nat_1(K, 1))))) ) ) )  & H=k1_funct_1(k2_funct_2(k4_finseq_2(k2_nat_1(2, A), k5_margrel1), F), k9_binarith(A, A, k5_margrel1, k13_descip_1(A, k5_margrel1, J, C), k13_descip_1(A, k5_margrel1, I, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_descip_1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & m1_subset_1(C, k4_ordinal1))  =>  (! [D] :  (m2_finseq_2(D, k4_finseq_2(B, k5_margrel1), k4_finseq_2(C, k4_finseq_2(B, k5_margrel1))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(k4_finseq_2(A, k5_margrel1), k4_finseq_2(B, k5_margrel1)), k4_finseq_2(A, k5_margrel1)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A, k5_margrel1), k4_finseq_2(B, k5_margrel1)), k4_finseq_2(A, k5_margrel1))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_finseq_2(k2_nat_1(2, A), k5_margrel1), k4_finseq_2(k2_nat_1(2, A), k5_margrel1)) &  (v3_funct_2(F, k4_finseq_2(k2_nat_1(2, A), k5_margrel1), k4_finseq_2(k2_nat_1(2, A), k5_margrel1)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(k2_nat_1(2, A), k5_margrel1), k4_finseq_2(k2_nat_1(2, A), k5_margrel1))))) ) )  =>  (! [G] :  (m2_finseq_2(G, k5_margrel1, k4_finseq_2(k2_nat_1(2, A), k5_margrel1)) => k39_descip_1(A, B, C, k1_descip_1(k4_finseq_2(B, k5_margrel1), C, D), E, F, k39_descip_1(A, B, C, D, E, F, G))=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d30_descip_1, axiom,  (! [A] :  (m2_finseq_2(A, k4_finseq_2(48, k5_margrel1), k4_finseq_2(16, k4_finseq_2(48, k5_margrel1))) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_finseq_2(32, k5_margrel1), k4_finseq_2(48, k5_margrel1)), k4_finseq_2(32, k5_margrel1)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(32, k5_margrel1), k4_finseq_2(48, k5_margrel1)), k4_finseq_2(32, k5_margrel1))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_2(64, k5_margrel1), k4_finseq_2(64, k5_margrel1)) &  (v3_funct_2(C, k4_finseq_2(64, k5_margrel1), k4_finseq_2(64, k5_margrel1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(64, k5_margrel1), k4_finseq_2(64, k5_margrel1))))) ) )  =>  (! [D] :  (m2_finseq_2(D, k5_margrel1, k4_finseq_2(64, k5_margrel1)) =>  (! [E] :  (m2_finseq_2(E, k5_margrel1, k4_finseq_2(64, k5_margrel1)) =>  (E=k40_descip_1(A, B, C, D) <=>  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_finseq_2(k2_nat_1(2, 32), k5_margrel1), k4_finseq_2(k2_nat_1(2, 32), k5_margrel1)) &  (v3_funct_2(F, k4_finseq_2(k2_nat_1(2, 32), k5_margrel1), k4_finseq_2(k2_nat_1(2, 32), k5_margrel1)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(k2_nat_1(2, 32), k5_margrel1), k4_finseq_2(k2_nat_1(2, 32), k5_margrel1))))) ) )  &  (? [G] :  (m2_finseq_2(G, k5_margrel1, k4_finseq_2(k2_nat_1(2, 32), k5_margrel1)) &  (r1_funct_2(k4_finseq_2(k2_nat_1(2, 32), k5_margrel1), k4_finseq_2(k2_nat_1(2, 32), k5_margrel1), k4_finseq_2(64, k5_margrel1), k4_finseq_2(64, k5_margrel1), F, C) &  (G=D & E=k39_descip_1(32, 48, 16, A, B, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_descip_1, axiom,  (! [A] :  (m2_finseq_2(A, k4_finseq_2(48, k5_margrel1), k4_finseq_2(16, k4_finseq_2(48, k5_margrel1))) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_finseq_2(32, k5_margrel1), k4_finseq_2(48, k5_margrel1)), k4_finseq_2(32, k5_margrel1)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(32, k5_margrel1), k4_finseq_2(48, k5_margrel1)), k4_finseq_2(32, k5_margrel1))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_2(64, k5_margrel1), k4_finseq_2(64, k5_margrel1)) &  (v3_funct_2(C, k4_finseq_2(64, k5_margrel1), k4_finseq_2(64, k5_margrel1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(64, k5_margrel1), k4_finseq_2(64, k5_margrel1))))) ) )  =>  (! [D] :  (m2_finseq_2(D, k5_margrel1, k4_finseq_2(64, k5_margrel1)) => k40_descip_1(k1_descip_1(k4_finseq_2(48, k5_margrel1), 16, A), B, C, k40_descip_1(A, B, C, D))=D) ) ) ) ) ) ) ) ).
fof(d31_descip_1, axiom,  (! [A] :  (m2_finseq_2(A, k5_margrel1, k4_finseq_2(64, k5_margrel1)) =>  (! [B] :  (m2_finseq_2(B, k5_margrel1, k4_finseq_2(64, k5_margrel1)) => k41_descip_1(A, B)=k40_descip_1(k38_descip_1(B), k34_descip_1, k25_descip_1, A)) ) ) ) ).
fof(d32_descip_1, axiom,  (! [A] :  (m2_finseq_2(A, k5_margrel1, k4_finseq_2(64, k5_margrel1)) =>  (! [B] :  (m2_finseq_2(B, k5_margrel1, k4_finseq_2(64, k5_margrel1)) => k42_descip_1(A, B)=k40_descip_1(k1_descip_1(k4_finseq_2(48, k5_margrel1), 16, k38_descip_1(B)), k34_descip_1, k25_descip_1, A)) ) ) ) ).
fof(t32_descip_1, axiom,  (! [A] :  (m2_finseq_2(A, k5_margrel1, k4_finseq_2(64, k5_margrel1)) =>  (! [B] :  (m2_finseq_2(B, k5_margrel1, k4_finseq_2(64, k5_margrel1)) => k42_descip_1(k41_descip_1(A, B), B)=A) ) ) ) ).
fof(s1_descip_1, axiom,  ( (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, f1_s1_descip_1) =>  (! [C] :  (m1_subset_1(C, f2_s1_descip_1) =>  (! [D] :  (m1_subset_1(D, f3_s1_descip_1) =>  (! [E] :  (m1_subset_1(E, f4_s1_descip_1) =>  (? [F] :  (m1_subset_1(F, f1_s1_descip_1) &  (? [G] :  (m1_subset_1(G, f2_s1_descip_1) &  (? [H] :  (m1_subset_1(H, f3_s1_descip_1) &  (? [I] :  (m1_subset_1(I, f4_s1_descip_1) & p1_s1_descip_1(A, B, C, D, E, F, G, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, f1_s1_descip_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f1_s1_descip_1)))) )  &  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, f2_s1_descip_1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f2_s1_descip_1)))) )  &  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, f3_s1_descip_1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f3_s1_descip_1)))) )  &  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, f4_s1_descip_1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f4_s1_descip_1)))) )  &  (k3_funct_2(k4_ordinal1, f1_s1_descip_1, A, k5_numbers)=f5_s1_descip_1 &  (k3_funct_2(k4_ordinal1, f2_s1_descip_1, B, k5_numbers)=f6_s1_descip_1 &  (k3_funct_2(k4_ordinal1, f3_s1_descip_1, C, k5_numbers)=f7_s1_descip_1 &  (k3_funct_2(k4_ordinal1, f4_s1_descip_1, D, k5_numbers)=f8_s1_descip_1 &  (! [E] :  (m1_subset_1(E, k4_ordinal1) => p1_s1_descip_1(E, k3_funct_2(k4_ordinal1, f1_s1_descip_1, A, E), k3_funct_2(k4_ordinal1, f2_s1_descip_1, B, E), k3_funct_2(k4_ordinal1, f3_s1_descip_1, C, E), k3_funct_2(k4_ordinal1, f4_s1_descip_1, D, E), k3_funct_2(k4_ordinal1, f1_s1_descip_1, A, k1_nat_1(E, 1)), k3_funct_2(k4_ordinal1, f2_s1_descip_1, B, k1_nat_1(E, 1)), k3_funct_2(k4_ordinal1, f3_s1_descip_1, C, k1_nat_1(E, 1)), k3_funct_2(k4_ordinal1, f4_s1_descip_1, D, k1_nat_1(E, 1)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_descip_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) & m1_subset_1(C, k4_finseq_2(B, A))) )  => m2_finseq_2(k1_descip_1(A, B, C), A, k4_finseq_2(B, A))) ) ).
fof(involutiveness_k1_descip_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) & m1_subset_1(C, k4_finseq_2(B, A))) )  => k1_descip_1(A, B, k1_descip_1(A, B, C))=C) ) ).
fof(redefinition_k1_descip_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) & m1_subset_1(C, k4_finseq_2(B, A))) )  => k1_descip_1(A, B, C)=k3_finseq_5(C)) ) ).
fof(dt_k2_descip_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) & m1_finseq_1(C, A)) )  => m2_finseq_1(k2_descip_1(A, B, C), A)) ) ).
fof(redefinition_k2_descip_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) & m1_finseq_1(C, A)) )  => k2_descip_1(A, B, C)=k16_finseq_1(B, C)) ) ).
fof(dt_k3_descip_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) & m1_finseq_1(C, A)) )  => m2_finseq_1(k3_descip_1(A, B, C), A)) ) ).
fof(redefinition_k3_descip_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) & m1_finseq_1(C, A)) )  => k3_descip_1(A, B, C)=k1_rfinseq(B, C)) ) ).
fof(dt_k4_descip_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) & m1_subset_1(C, k4_finseq_2(k3_xcmplx_0(2, B), A))) )  => m2_finseq_2(k4_descip_1(A, B, C), A, k4_finseq_2(B, A))) ) ).
fof(redefinition_k4_descip_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) & m1_subset_1(C, k4_finseq_2(k3_xcmplx_0(2, B), A))) )  => k4_descip_1(A, B, C)=k16_finseq_1(B, C)) ) ).
fof(dt_k5_descip_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  & m1_subset_1(C, k4_finseq_2(k2_nat_1(2, B), A))) )  => m2_finseq_2(k5_descip_1(A, B, C), A, k4_finseq_2(B, A))) ) ).
fof(redefinition_k5_descip_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  & m1_subset_1(C, k4_finseq_2(k2_nat_1(2, B), A))) )  => k5_descip_1(A, B, C)=k1_rfinseq(B, C)) ) ).
fof(dt_k6_descip_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(k6_descip_1(A)) &  (v1_funct_1(k6_descip_1(A)) & v1_finseq_1(k6_descip_1(A))) ) ) ) ).
fof(dt_k7_descip_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(k7_descip_1(A)) &  (v1_funct_1(k7_descip_1(A)) & v1_finseq_1(k7_descip_1(A))) ) ) ) ).
fof(dt_k8_descip_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_finseq_1(B, A) & v1_int_1(C)) )  => m2_finseq_1(k8_descip_1(A, B, C), A)) ) ).
fof(dt_k9_descip_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_finseq_2(28, k5_margrel1)) & m1_subset_1(B, k4_finseq_2(28, k5_margrel1)))  => m2_finseq_2(k9_descip_1(A, B), k5_margrel1, k4_finseq_2(56, k5_margrel1))) ) ).
fof(redefinition_k9_descip_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_finseq_2(28, k5_margrel1)) & m1_subset_1(B, k4_finseq_2(28, k5_margrel1)))  => k9_descip_1(A, B)=k7_finseq_1(A, B)) ) ).
fof(dt_k10_descip_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  &  (m1_subset_1(B, k4_finseq_2(A, k5_margrel1)) & v7_ordinal1(C)) )  => m1_subset_1(k10_descip_1(A, B, C), k5_margrel1)) ) ).
fof(redefinition_k10_descip_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  &  (m1_subset_1(B, k4_finseq_2(A, k5_margrel1)) & v7_ordinal1(C)) )  => k10_descip_1(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k11_descip_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  &  (m1_subset_1(B, k4_finseq_2(A, k5_margrel1)) & m1_subset_1(C, k4_finseq_2(A, k5_margrel1))) )  => m2_finseq_2(k11_descip_1(A, B, C), k5_margrel1, k4_finseq_2(A, k5_margrel1))) ) ).
fof(commutativity_k11_descip_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  &  (m1_subset_1(B, k4_finseq_2(A, k5_margrel1)) & m1_subset_1(C, k4_finseq_2(A, k5_margrel1))) )  => k11_descip_1(A, B, C)=k11_descip_1(A, C, B)) ) ).
fof(redefinition_k11_descip_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  &  (m1_subset_1(B, k4_finseq_2(A, k5_margrel1)) & m1_subset_1(C, k4_finseq_2(A, k5_margrel1))) )  => k11_descip_1(A, B, C)=k4_bvfunc_1(B, C)) ) ).
fof(dt_k12_descip_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  &  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  &  (m1_subset_1(C, k4_finseq_2(B, k4_finseq_2(A, k5_margrel1))) & m1_subset_1(D, k2_finseq_1(B))) ) )  => m2_finseq_2(k12_descip_1(A, B, C, D), k5_margrel1, k4_finseq_2(A, k5_margrel1))) ) ).
fof(redefinition_k12_descip_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  &  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  &  (m1_subset_1(C, k4_finseq_2(B, k4_finseq_2(A, k5_margrel1))) & m1_subset_1(D, k2_finseq_1(B))) ) )  => k12_descip_1(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(dt_k13_descip_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_finseq_2(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_finseq_2(A, B))))) )  & v7_ordinal1(D)) ) )  => m2_finseq_2(k13_descip_1(A, B, C, D), B, k4_finseq_2(A, B))) ) ).
fof(redefinition_k13_descip_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_finseq_2(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_finseq_2(A, B))))) )  & v7_ordinal1(D)) ) )  => k13_descip_1(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(dt_k14_descip_1, axiom,  (! [A, B] :  ( (v1_funct_1(A) &  (v1_funct_2(A, 64, 16) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(64, 16)))) )  => m1_subset_1(k14_descip_1(A, B), 16)) ) ).
fof(redefinition_k14_descip_1, axiom,  (! [A, B] :  ( (v1_funct_1(A) &  (v1_funct_2(A, 64, 16) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(64, 16)))) )  => k14_descip_1(A, B)=k1_funct_1(A, B)) ) ).
fof(dt_f1_s1_descip_1, axiom,  ~ (v1_xboole_0(f1_s1_descip_1)) ).
fof(dt_f2_s1_descip_1, axiom,  ~ (v1_xboole_0(f2_s1_descip_1)) ).
fof(dt_f3_s1_descip_1, axiom,  ~ (v1_xboole_0(f3_s1_descip_1)) ).
fof(dt_f4_s1_descip_1, axiom,  ~ (v1_xboole_0(f4_s1_descip_1)) ).
fof(dt_f5_s1_descip_1, axiom, m1_subset_1(f5_s1_descip_1, f1_s1_descip_1)).
fof(dt_f6_s1_descip_1, axiom, m1_subset_1(f6_s1_descip_1, f2_s1_descip_1)).
fof(dt_f7_s1_descip_1, axiom, m1_subset_1(f7_s1_descip_1, f3_s1_descip_1)).
fof(dt_f8_s1_descip_1, axiom, m1_subset_1(f8_s1_descip_1, f4_s1_descip_1)).
fof(dt_k15_descip_1, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  & m1_subset_1(B, k5_card_1(A)))  => m2_subset_1(k15_descip_1(A, B), k4_ordinal1, k2_finseq_1(A))) ) ).
fof(redefinition_k15_descip_1, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  & m1_subset_1(B, k5_card_1(A)))  => k15_descip_1(A, B)=k1_ordinal1(B)) ) ).
fof(dt_k16_descip_1, axiom,  (v1_funct_1(k16_descip_1) &  (v1_funct_2(k16_descip_1, 64, 16) & m1_subset_1(k16_descip_1, k1_zfmisc_1(k2_zfmisc_1(64, 16)))) ) ).
fof(dt_k17_descip_1, axiom,  (v1_funct_1(k17_descip_1) &  (v1_funct_2(k17_descip_1, 64, 16) & m1_subset_1(k17_descip_1, k1_zfmisc_1(k2_zfmisc_1(64, 16)))) ) ).
fof(dt_k18_descip_1, axiom,  (v1_funct_1(k18_descip_1) &  (v1_funct_2(k18_descip_1, 64, 16) & m1_subset_1(k18_descip_1, k1_zfmisc_1(k2_zfmisc_1(64, 16)))) ) ).
fof(dt_k19_descip_1, axiom,  (v1_funct_1(k19_descip_1) &  (v1_funct_2(k19_descip_1, 64, 16) & m1_subset_1(k19_descip_1, k1_zfmisc_1(k2_zfmisc_1(64, 16)))) ) ).
fof(dt_k20_descip_1, axiom,  (v1_funct_1(k20_descip_1) &  (v1_funct_2(k20_descip_1, 64, 16) & m1_subset_1(k20_descip_1, k1_zfmisc_1(k2_zfmisc_1(64, 16)))) ) ).
fof(dt_k21_descip_1, axiom,  (v1_funct_1(k21_descip_1) &  (v1_funct_2(k21_descip_1, 64, 16) & m1_subset_1(k21_descip_1, k1_zfmisc_1(k2_zfmisc_1(64, 16)))) ) ).
fof(dt_k22_descip_1, axiom,  (v1_funct_1(k22_descip_1) &  (v1_funct_2(k22_descip_1, 64, 16) & m1_subset_1(k22_descip_1, k1_zfmisc_1(k2_zfmisc_1(64, 16)))) ) ).
fof(dt_k23_descip_1, axiom,  (v1_funct_1(k23_descip_1) &  (v1_funct_2(k23_descip_1, 64, 16) & m1_subset_1(k23_descip_1, k1_zfmisc_1(k2_zfmisc_1(64, 16)))) ) ).
fof(dt_k24_descip_1, axiom,  (! [A] :  (m1_subset_1(A, k4_finseq_2(64, k5_margrel1)) => m2_finseq_2(k24_descip_1(A), k5_margrel1, k4_finseq_2(64, k5_margrel1))) ) ).
fof(dt_k25_descip_1, axiom,  (v1_funct_1(k25_descip_1) &  (v1_funct_2(k25_descip_1, k4_finseq_2(64, k5_margrel1), k4_finseq_2(64, k5_margrel1)) & m1_subset_1(k25_descip_1, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(64, k5_margrel1), k4_finseq_2(64, k5_margrel1))))) ) ).
fof(dt_k26_descip_1, axiom,  (! [A] :  (m1_subset_1(A, k4_finseq_2(64, k5_margrel1)) => m2_finseq_2(k26_descip_1(A), k5_margrel1, k4_finseq_2(64, k5_margrel1))) ) ).
fof(dt_k27_descip_1, axiom,  (v1_funct_1(k27_descip_1) &  (v1_funct_2(k27_descip_1, k4_finseq_2(64, k5_margrel1), k4_finseq_2(64, k5_margrel1)) & m1_subset_1(k27_descip_1, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(64, k5_margrel1), k4_finseq_2(64, k5_margrel1))))) ) ).
fof(dt_k28_descip_1, axiom,  (! [A] :  (m1_subset_1(A, k4_finseq_2(32, k5_margrel1)) => m2_finseq_2(k28_descip_1(A), k5_margrel1, k4_finseq_2(48, k5_margrel1))) ) ).
fof(dt_k29_descip_1, axiom,  (! [A] :  (m1_subset_1(A, k4_finseq_2(32, k5_margrel1)) => m2_finseq_2(k29_descip_1(A), k5_margrel1, k4_finseq_2(32, k5_margrel1))) ) ).
fof(dt_k30_descip_1, axiom,  (! [A] :  (m1_subset_1(A, k4_finseq_2(48, k5_margrel1)) => m2_finseq_2(k30_descip_1(A), k4_finseq_2(6, k5_margrel1), k4_finseq_2(8, k4_finseq_2(6, k5_margrel1)))) ) ).
fof(dt_k31_descip_1, axiom,  (! [A] :  (m1_subset_1(A, k4_finseq_2(6, k5_margrel1)) => m2_subset_1(k31_descip_1(A), k4_ordinal1, k5_card_1(64))) ) ).
fof(dt_k32_descip_1, axiom,  (! [A] :  (m1_subset_1(A, 16) =>  (v3_card_1(k32_descip_1(A), 4) & m2_finseq_1(k32_descip_1(A), k5_margrel1)) ) ) ).
fof(dt_k33_descip_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_finseq_2(32, k5_margrel1)) & m1_subset_1(B, k4_finseq_2(48, k5_margrel1)))  => m2_finseq_2(k33_descip_1(A, B), k5_margrel1, k4_finseq_2(32, k5_margrel1))) ) ).
fof(dt_k34_descip_1, axiom,  (v1_funct_1(k34_descip_1) &  (v1_funct_2(k34_descip_1, k2_zfmisc_1(k4_finseq_2(32, k5_margrel1), k4_finseq_2(48, k5_margrel1)), k4_finseq_2(32, k5_margrel1)) & m1_subset_1(k34_descip_1, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(32, k5_margrel1), k4_finseq_2(48, k5_margrel1)), k4_finseq_2(32, k5_margrel1))))) ) ).
fof(dt_k35_descip_1, axiom,  (! [A] :  (m1_subset_1(A, k4_finseq_2(64, k5_margrel1)) => m2_finseq_2(k35_descip_1(A), k5_margrel1, k4_finseq_2(56, k5_margrel1))) ) ).
fof(dt_k36_descip_1, axiom,  (! [A] :  (m1_subset_1(A, k4_finseq_2(56, k5_margrel1)) => m2_finseq_2(k36_descip_1(A), k5_margrel1, k4_finseq_2(48, k5_margrel1))) ) ).
fof(dt_k37_descip_1, axiom, m2_finseq_1(k37_descip_1, k4_ordinal1)).
fof(dt_k38_descip_1, axiom,  (! [A] :  (m1_subset_1(A, k4_finseq_2(64, k5_margrel1)) => m2_finseq_2(k38_descip_1(A), k4_finseq_2(48, k5_margrel1), k4_finseq_2(16, k4_finseq_2(48, k5_margrel1)))) ) ).
fof(dt_k39_descip_1, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  &  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  &  ( ( ~ (v8_ordinal1(C))  & m1_subset_1(C, k4_ordinal1))  &  (m1_subset_1(D, k4_finseq_2(C, k4_finseq_2(B, k5_margrel1))) &  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(k4_finseq_2(A, k5_margrel1), k4_finseq_2(B, k5_margrel1)), k4_finseq_2(A, k5_margrel1)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A, k5_margrel1), k4_finseq_2(B, k5_margrel1)), k4_finseq_2(A, k5_margrel1))))) )  &  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_finseq_2(k2_nat_1(2, A), k5_margrel1), k4_finseq_2(k2_nat_1(2, A), k5_margrel1)) &  (v3_funct_2(F, k4_finseq_2(k2_nat_1(2, A), k5_margrel1), k4_finseq_2(k2_nat_1(2, A), k5_margrel1)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(k2_nat_1(2, A), k5_margrel1), k4_finseq_2(k2_nat_1(2, A), k5_margrel1))))) ) )  & m1_subset_1(G, k4_finseq_2(k2_nat_1(2, A), k5_margrel1))) ) ) ) ) )  => m2_finseq_2(k39_descip_1(A, B, C, D, E, F, G), k5_margrel1, k4_finseq_2(k2_nat_1(2, A), k5_margrel1))) ) ).
fof(dt_k40_descip_1, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, k4_finseq_2(16, k4_finseq_2(48, k5_margrel1))) &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_finseq_2(32, k5_margrel1), k4_finseq_2(48, k5_margrel1)), k4_finseq_2(32, k5_margrel1)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(32, k5_margrel1), k4_finseq_2(48, k5_margrel1)), k4_finseq_2(32, k5_margrel1))))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_2(64, k5_margrel1), k4_finseq_2(64, k5_margrel1)) &  (v3_funct_2(C, k4_finseq_2(64, k5_margrel1), k4_finseq_2(64, k5_margrel1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(64, k5_margrel1), k4_finseq_2(64, k5_margrel1))))) ) )  & m1_subset_1(D, k4_finseq_2(64, k5_margrel1))) ) )  => m2_finseq_2(k40_descip_1(A, B, C, D), k5_margrel1, k4_finseq_2(64, k5_margrel1))) ) ).
fof(dt_k41_descip_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_finseq_2(64, k5_margrel1)) & m1_subset_1(B, k4_finseq_2(64, k5_margrel1)))  => m2_finseq_2(k41_descip_1(A, B), k5_margrel1, k4_finseq_2(64, k5_margrel1))) ) ).
fof(dt_k42_descip_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_finseq_2(64, k5_margrel1)) & m1_subset_1(B, k4_finseq_2(64, k5_margrel1)))  => m2_finseq_2(k42_descip_1(A, B), k5_margrel1, k4_finseq_2(64, k5_margrel1))) ) ).
fof(fc1_dickson, axiom,  (! [A] :  (v1_relat_1(A) =>  (v1_relat_1(k3_dickson(A)) & v5_relat_2(k3_dickson(A))) ) ) ).
fof(fc2_dickson, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  ( ~ (v2_struct_0(k5_dickson(A)))  & v1_orders_2(k5_dickson(A))) ) ) ).
fof(fc3_dickson, axiom,  (! [A] :  ( (v4_orders_2(A) & l1_orders_2(A))  =>  (v1_orders_2(k5_dickson(A)) & v4_orders_2(k5_dickson(A))) ) ) ).
fof(fc4_dickson, axiom,  (! [A] :  (l1_orders_2(A) =>  (v1_orders_2(k5_dickson(A)) & v5_orders_2(k5_dickson(A))) ) ) ).
fof(fc5_dickson, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_yellow_1(B)) ) ) )  & m1_subset_1(C, k1_zfmisc_1(A)))  =>  (v1_relat_1(k5_relat_1(B, C)) & v1_yellow_1(k5_relat_1(B, C))) ) ) ).
fof(fc6_dickson, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k1_xboole_0) &  (v1_funct_1(A) &  (v1_partfun1(A, k1_xboole_0) & v1_yellow_1(A)) ) ) )  =>  ( ~ (v2_struct_0(k4_yellow_1(k1_xboole_0, A)))  & v1_orders_2(k4_yellow_1(k1_xboole_0, A))) ) ) ).
fof(fc7_dickson, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k1_xboole_0) &  (v1_funct_1(A) &  (v1_partfun1(A, k1_xboole_0) & v1_yellow_1(A)) ) ) )  =>  (v1_orders_2(k4_yellow_1(k1_xboole_0, A)) & v5_orders_2(k4_yellow_1(k1_xboole_0, A))) ) ) ).
fof(fc8_dickson, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k1_xboole_0) &  (v1_funct_1(A) &  (v1_partfun1(A, k1_xboole_0) & v1_yellow_1(A)) ) ) )  =>  (v1_orders_2(k4_yellow_1(k1_xboole_0, A)) & v3_dickson(k4_yellow_1(k1_xboole_0, A))) ) ) ).
fof(fc9_dickson, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k1_xboole_0) &  (v1_funct_1(A) &  (v1_partfun1(A, k1_xboole_0) & v1_yellow_1(A)) ) ) )  =>  (v1_orders_2(k4_yellow_1(k1_xboole_0, A)) & v4_dickson(k4_yellow_1(k1_xboole_0, A))) ) ) ).
fof(fc10_dickson, axiom,  ( ~ (v2_struct_0(k11_dickson))  & v16_waybel_0(k11_dickson)) ).
fof(fc11_dickson, axiom,  ( ~ (v2_struct_0(k11_dickson))  & v4_dickson(k11_dickson)) ).
fof(fc12_dickson, axiom,  ( ~ (v2_struct_0(k11_dickson))  & v3_dickson(k11_dickson)) ).
fof(fc13_dickson, axiom,  ( ~ (v2_struct_0(k11_dickson))  & v5_orders_2(k11_dickson)) ).
fof(fc14_dickson, axiom,  ( ~ (v2_struct_0(k11_dickson))  & v4_orders_2(k11_dickson)) ).
fof(fc15_dickson, axiom,  ( ~ (v2_struct_0(k11_dickson))  & v1_wellfnd1(k11_dickson)) ).
fof(fc16_dickson, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ( ~ (v2_struct_0(k4_yellow_1(A, k7_funcop_1(A, k11_dickson))))  & v1_orders_2(k4_yellow_1(A, k7_funcop_1(A, k11_dickson)))) ) ) ).
fof(fc17_dickson, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (v1_orders_2(k4_yellow_1(A, k7_funcop_1(A, k11_dickson))) & v4_dickson(k4_yellow_1(A, k7_funcop_1(A, k11_dickson)))) ) ) ).
fof(fc18_dickson, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (v1_orders_2(k4_yellow_1(A, k7_funcop_1(A, k11_dickson))) & v3_dickson(k4_yellow_1(A, k7_funcop_1(A, k11_dickson)))) ) ) ).
fof(fc19_dickson, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (v1_orders_2(k4_yellow_1(A, k7_funcop_1(A, k11_dickson))) & v5_orders_2(k4_yellow_1(A, k7_funcop_1(A, k11_dickson)))) ) ) ).
fof(t1_dickson, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (k9_xtuple_0(A)=k1_tarski(B) => A=k17_funcop_1(B, k1_funct_1(A, B))) ) ) ) ).
fof(t3_dickson, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  & v2_funct_1(B)) ) ) ) ).
fof(d1_dickson, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_dickson(B, A) <=>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( ~ (k8_nat_1(u1_struct_0(A), B, k1_nat_1(C, 1))=k8_nat_1(u1_struct_0(A), B, C))  & r2_hidden(k4_tarski(k8_nat_1(u1_struct_0(A), B, C), k8_nat_1(u1_struct_0(A), B, k1_nat_1(C, 1))), u1_orders_2(A))) ) ) ) ) ) ) ) ).
fof(d2_dickson, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v2_dickson(B, A) <=>  (! [C] :  (v7_ordinal1(C) => r2_hidden(k4_tarski(k8_nat_1(u1_struct_0(A), B, C), k8_nat_1(u1_struct_0(A), B, k1_nat_1(C, 1))), u1_orders_2(A))) ) ) ) ) ) ) ).
fof(t4_dickson, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v2_dickson(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( ~ (r1_xxreal_0(D, C))  => r1_orders_2(A, k8_nat_1(u1_struct_0(A), B, C), k8_nat_1(u1_struct_0(A), B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t5_dickson, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (v16_waybel_0(A) <=> r7_relat_2(u1_orders_2(A), u1_struct_0(A))) ) ) ).
fof(t6_dickson, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (! [C] :  ( (r1_xboole_0(k1_wellord1(u1_orders_2(A), C), B) & r2_tarski(C, B))  <=> r4_waybel_4(B, C, u1_orders_2(A))) ) ) ) ) ).
fof(t7_dickson, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (! [D] :  (r4_waybel_4(k3_xboole_0(k1_wellord1(u1_orders_2(A), B), D), C, u1_orders_2(A)) => r4_waybel_4(D, C, u1_orders_2(A))) ) ) ) ) ) ) ).
fof(d3_dickson, axiom,  (! [A] :  (l1_orders_2(A) =>  (v3_dickson(A) <=>  (v3_orders_2(A) & v4_orders_2(A)) ) ) ) ).
fof(d4_dickson, axiom,  (! [A] :  (l1_orders_2(A) =>  (v3_dickson(A) => k1_dickson(A)=k2_eqrel_1(u1_struct_0(A), u1_orders_2(A), k3_relset_1(u1_struct_0(A), u1_struct_0(A), u1_orders_2(A)))) ) ) ).
fof(t8_dickson, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v3_dickson(A) =>  (r2_tarski(B, k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k1_dickson(A), C)) <=>  (r1_orders_2(A, B, C) & r1_orders_2(A, C, B)) ) ) ) ) ) ) ) ) ).
fof(d5_dickson, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(u1_struct_0(A), k1_dickson(A)), k8_eqrel_1(u1_struct_0(A), k1_dickson(A))))) =>  (B=k2_dickson(A) <=>  (! [C] :  (! [D] :  (r2_hidden(k4_tarski(C, D), B) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (C=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k1_dickson(A), E) &  (D=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k1_dickson(A), F) & r1_orders_2(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_dickson, axiom,  (! [A] :  (l1_orders_2(A) =>  (v3_dickson(A) => r2_orders_1(k2_dickson(A), k8_eqrel_1(u1_struct_0(A), k1_dickson(A)))) ) ) ).
fof(t10_dickson, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  ( (v3_dickson(A) & v16_waybel_0(A))  => r3_orders_1(k2_dickson(A), k8_eqrel_1(u1_struct_0(A), k1_dickson(A)))) ) ) ).
fof(d6_dickson, axiom,  (! [A] :  (v1_relat_1(A) => k3_dickson(A)=k6_subset_1(A, k2_relat_1(A))) ) ).
fof(d7_dickson, axiom,  (! [A] :  (l1_orders_2(A) => k5_dickson(A)=g1_orders_2(u1_struct_0(A), k4_dickson(u1_struct_0(A), u1_orders_2(A)))) ) ).
fof(t11_dickson, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k1_dickson(A), B)=k6_domain_1(u1_struct_0(A), B)) ) ) ) ).
fof(t12_dickson, axiom,  (! [A] :  (v1_relat_1(A) =>  (A=k3_dickson(A) <=> v5_relat_2(A)) ) ) ).
fof(t13_dickson, axiom,  (! [A] :  (v1_relat_1(A) =>  (v8_relat_2(A) => v8_relat_2(k3_dickson(A))) ) ) ).
fof(t14_dickson, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (v4_relat_2(A) =>  (r2_hidden(k4_tarski(B, C), k3_dickson(A)) <=>  (r2_hidden(k4_tarski(B, C), A) &  ~ (B=C) ) ) ) ) ) ) ) ).
fof(t15_dickson, axiom,  (! [A] :  (l1_orders_2(A) =>  (v1_wellfnd1(A) => v1_wellfnd1(k5_dickson(A))) ) ) ).
fof(t16_dickson, axiom,  (! [A] :  (l1_orders_2(A) =>  ( (v1_wellfnd1(k5_dickson(A)) & v5_orders_2(A))  => v1_wellfnd1(A)) ) ) ).
fof(t17_dickson, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_dickson(A))) =>  (r4_waybel_4(B, C, u1_orders_2(k5_dickson(A))) <=>  (r2_tarski(C, B) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(D, B) & r2_hidden(k4_tarski(D, C), u1_orders_2(A)))  => r2_hidden(k4_tarski(C, D), u1_orders_2(A))) ) ) ) ) ) ) ) ) ) ).
fof(t18_dickson, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ( (v3_dickson(A) &  (v5_orders_2(B) &  (v1_wellfnd1(k5_dickson(B)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_orders_2(A, D, E) => r1_orders_2(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D), k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, E)))  &  (k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D)=k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, E) => r2_tarski(k7_yellow_3(A, A, D, E), k1_dickson(A))) ) ) ) ) ) ) ) )  => v1_wellfnd1(k5_dickson(A))) ) ) ) ) ) ) ).
fof(d8_dickson, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (C=k6_dickson(A, B) <=>  (! [D] :  (r2_tarski(D, C) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(k5_dickson(A))) &  (r4_waybel_4(B, E, u1_orders_2(k5_dickson(A))) & D=k9_subset_1(u1_struct_0(A), k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k1_dickson(A), E), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_dickson, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v3_dickson(A) & r2_tarski(C, k6_dickson(A, B)))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_dickson(A))) =>  (r2_tarski(D, C) => r4_waybel_4(B, D, u1_orders_2(k5_dickson(A)))) ) ) ) ) ) ) ) ) ).
fof(t20_dickson, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (v1_wellfnd1(k5_dickson(A)) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( ~ (B=k1_xboole_0)  &  (! [C] :  ~ (r2_hidden(C, k6_dickson(A, B))) ) ) ) ) ) ) ) ) ).
fof(t21_dickson, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_dickson(A))) =>  ~ ( (r4_waybel_4(B, C, u1_orders_2(k5_dickson(A))) & v1_xboole_0(k6_dickson(A, B))) ) ) ) ) ) ) ) ).
fof(t22_dickson, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ~ ( (r2_tarski(C, k6_dickson(A, B)) & v1_xboole_0(C)) ) ) ) ) ) ) ).
fof(t23_dickson, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (v3_dickson(A) =>  ( (v16_waybel_0(A) & v1_wellfnd1(k5_dickson(A)))  <=>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => k1_card_1(k6_dickson(A, B))=1) ) ) ) ) ) ).
fof(t24_dickson, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (r2_wellord1(u1_orders_2(A), u1_struct_0(A)) <=>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => k1_card_1(k6_dickson(A, B))=1) ) ) ) ) ).
fof(d9_dickson, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (r1_dickson(A, B, C) <=>  (r1_tarski(C, B) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(D, B) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_tarski(E, C) & r1_orders_2(A, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_dickson, axiom,  (! [A] :  (l1_orders_2(A) => r1_dickson(A, k1_subset_1(u1_struct_0(A)), k1_xboole_0)) ) ).
fof(t26_dickson, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ~ ( (r1_dickson(A, B, C) & v1_xboole_0(C)) ) ) ) ) ) ) ).
fof(d10_dickson, axiom,  (! [A] :  (l1_orders_2(A) =>  (v4_dickson(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (? [C] :  (r1_dickson(A, B, C) & v1_finset_1(C)) ) ) ) ) ) ) ).
fof(t27_dickson, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  ( (v1_wellfnd1(k5_dickson(A)) & v16_waybel_0(A))  => v4_dickson(A)) ) ) ).
fof(t28_dickson, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (l1_orders_2(B) =>  ( (r1_relset_1(u1_struct_0(A), u1_struct_0(A), u1_orders_2(A), u1_orders_2(B)) &  (v4_dickson(A) & u1_struct_0(A)=u1_struct_0(B)) )  => v4_dickson(B)) ) ) ) ) ).
fof(d11_dickson, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (k9_xtuple_0(A)=k4_ordinal1 & r2_tarski(B, k10_xtuple_0(A)))  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (C=k7_dickson(A, B) <=>  (k1_funct_1(A, C)=B &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (k1_funct_1(A, D)=B => r1_xxreal_0(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_dickson, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (? [E] :  (m1_subset_1(E, k4_ordinal1) &  ( ~ (r1_xxreal_0(E, D))  & k8_nat_1(u1_struct_0(A), B, E)=C) ) )  =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (E=k8_dickson(A, B, C, D) <=>  (k8_nat_1(u1_struct_0(A), B, E)=C &  ( ~ (r1_xxreal_0(E, D))  &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (k8_nat_1(u1_struct_0(A), B, F)=C =>  (r1_xxreal_0(F, D) | r1_xxreal_0(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_dickson, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (v4_dickson(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (? [C] :  (v7_ordinal1(C) &  (? [D] :  (v7_ordinal1(D) &  ( ~ (r1_xxreal_0(D, C))  & r1_orders_2(A, k8_nat_1(u1_struct_0(A), B, C), k8_nat_1(u1_struct_0(A), B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t30_dickson, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_dickson(A))) =>  ( (v3_dickson(A) &  (r2_tarski(C, B) & r1_tarski(k9_subset_1(u1_struct_0(A), k1_wellord1(u1_orders_2(A), C), B), k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k1_dickson(A), C))) )  => r4_waybel_4(B, C, u1_orders_2(k5_dickson(A)))) ) ) ) ) ) ) ).
fof(t31_dickson, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  ( (v3_dickson(A) &  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (? [C] :  (v7_ordinal1(C) &  (? [D] :  (v7_ordinal1(D) &  ( ~ (r1_xxreal_0(D, C))  & r1_orders_2(A, k8_nat_1(u1_struct_0(A), B, C), k8_nat_1(u1_struct_0(A), B, D))) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_finset_1(k6_dickson(A, B)) &  ~ (v1_xboole_0(k6_dickson(A, B))) ) ) ) ) ) ) ).
fof(t32_dickson, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  ( (v3_dickson(A) &  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_finset_1(k6_dickson(A, B)) &  ~ (v1_xboole_0(k6_dickson(A, B))) ) ) ) )  => v4_dickson(A)) ) ) ).
fof(t33_dickson, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  ( (v3_dickson(A) & v4_dickson(A))  => v1_wellfnd1(k5_dickson(A))) ) ) ).
fof(t34_dickson, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( (v4_dickson(A) &  (! [C] :  ~ ( (r1_dickson(A, B, C) &  (! [D] :  (r1_dickson(A, B, D) => r1_tarski(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_dickson, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v4_dickson(A) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))  =>  (C=k9_dickson(A, B) <=>  (! [D] :  (r2_tarski(D, C) <=> r1_dickson(A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t35_dickson, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ~ ( (v4_dickson(A) &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ~ ( (m2_valued_0(C, u1_struct_0(A), B) & v2_dickson(C, A)) ) ) ) ) ) ) ) ) ) ).
fof(t36_dickson, axiom,  (! [A] :  (l1_orders_2(A) =>  (v2_struct_0(A) => v4_dickson(A)) ) ) ).
fof(t37_dickson, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (l1_orders_2(B) =>  ( (v4_dickson(A) &  (v4_dickson(B) &  (v3_dickson(A) & v3_dickson(B)) ) )  =>  (v3_dickson(k3_yellow_3(A, B)) & v4_dickson(k3_yellow_3(A, B))) ) ) ) ) ) ).
fof(t38_dickson, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (l1_orders_2(B) =>  ( (r5_waybel_1(A, B) &  (v4_dickson(A) & v3_dickson(A)) )  =>  (v3_dickson(B) & v4_dickson(B)) ) ) ) ) ) ).
fof(t39_dickson, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k6_domain_1(k4_ordinal1, k5_numbers)) &  (v1_funct_1(A) &  (v1_partfun1(A, k6_domain_1(k4_ordinal1, k5_numbers)) & v1_yellow_1(A)) ) ) )  =>  (! [B] :  (m2_subset_1(B, k4_ordinal1, k6_domain_1(k4_ordinal1, k5_numbers)) => r5_waybel_1(k3_waybel_3(k6_domain_1(k4_ordinal1, k5_numbers), A, B), k4_yellow_1(k6_domain_1(k4_ordinal1, k5_numbers), A))) ) ) ) ).
fof(t40_dickson, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_yellow_1(B)) ) ) )  =>  ( ~ (v2_struct_0(k4_yellow_1(A, B)))  <=> v4_waybel_3(B)) ) ) ) ) ).
fof(t41_dickson, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k5_card_1(k1_nat_1(A, 1))) &  (v1_funct_1(B) &  (v1_partfun1(B, k5_card_1(k1_nat_1(A, 1))) & v1_yellow_1(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k5_card_1(k1_nat_1(A, 1)))) =>  (! [D] :  (m2_subset_1(D, k4_ordinal1, k5_card_1(k1_nat_1(A, 1))) =>  ( (C=A & D=A)  => r5_waybel_1(k3_yellow_3(k4_yellow_1(C, k5_relat_1(B, C)), k3_waybel_3(k5_card_1(k1_nat_1(A, 1)), B, D)), k4_yellow_1(k5_card_1(k1_nat_1(A, 1)), B))) ) ) ) ) ) ) ) ) ).
fof(t42_dickson, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k5_card_1(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k5_card_1(A)) & v1_yellow_1(B)) ) ) )  =>  ( (! [C] :  (m2_subset_1(C, k4_ordinal1, k5_card_1(A)) =>  (v4_dickson(k3_waybel_3(k5_card_1(A), B, C)) & v3_dickson(k3_waybel_3(k5_card_1(A), B, C))) ) )  =>  (v3_dickson(k4_yellow_1(k5_card_1(A), B)) & v4_dickson(k4_yellow_1(k5_card_1(A), B))) ) ) ) ) ) ).
fof(t43_dickson, axiom, r1_relat_2(k10_dickson, k4_ordinal1)).
fof(t44_dickson, axiom, r4_relat_2(k10_dickson, k4_ordinal1)).
fof(t45_dickson, axiom, r7_relat_2(k10_dickson, k4_ordinal1)).
fof(t46_dickson, axiom, r8_relat_2(k10_dickson, k4_ordinal1)).
fof(d15_dickson, axiom, k11_dickson=g1_orders_2(k4_ordinal1, k10_dickson)).
fof(t47_dickson, axiom,  (! [A] :  (l1_orders_2(A) =>  ( (v4_dickson(A) & v3_dickson(A))  =>  (v3_dickson(k3_yellow_3(A, k11_dickson)) & v4_dickson(k3_yellow_3(A, k11_dickson))) ) ) ) ).
fof(t48_dickson, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  =>  ( (v4_dickson(A) &  (v3_dickson(B) &  (r1_relset_1(u1_struct_0(A), u1_struct_0(A), u1_orders_2(A), u1_orders_2(B)) & u1_struct_0(A)=u1_struct_0(B)) ) )  => v1_wellfnd1(k5_dickson(B))) ) ) ) ) ).
fof(t49_dickson, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (v3_dickson(A) =>  (v4_dickson(A) <=>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  =>  ( (v3_dickson(B) &  (r1_relset_1(u1_struct_0(A), u1_struct_0(A), u1_orders_2(A), u1_orders_2(B)) & u1_struct_0(A)=u1_struct_0(B)) )  => v1_wellfnd1(k5_dickson(B))) ) ) ) ) ) ) ).
fof(dt_k1_dickson, axiom,  (! [A] :  (l1_orders_2(A) =>  (v1_partfun1(k1_dickson(A), u1_struct_0(A)) &  (v3_relat_2(k1_dickson(A)) &  (v8_relat_2(k1_dickson(A)) & m1_subset_1(k1_dickson(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ) ).
fof(dt_k2_dickson, axiom,  (! [A] :  (l1_orders_2(A) => m1_subset_1(k2_dickson(A), k1_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(u1_struct_0(A), k1_dickson(A)), k8_eqrel_1(u1_struct_0(A), k1_dickson(A)))))) ) ).
fof(dt_k3_dickson, axiom,  (! [A] :  (v1_relat_1(A) => v1_relat_1(k3_dickson(A))) ) ).
fof(dt_k4_dickson, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) => m1_subset_1(k4_dickson(A, B), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ).
fof(redefinition_k4_dickson, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) => k4_dickson(A, B)=k3_dickson(B)) ) ).
fof(dt_k5_dickson, axiom,  (! [A] :  (l1_orders_2(A) =>  (v1_orders_2(k5_dickson(A)) & l1_orders_2(k5_dickson(A))) ) ) ).
fof(dt_k6_dickson, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k6_dickson(A, B), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k7_dickson, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_funct_1(A))  => m1_subset_1(k7_dickson(A, B), k4_ordinal1)) ) ).
fof(dt_k8_dickson, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  & m1_subset_1(D, k4_ordinal1)) )  => m1_subset_1(k8_dickson(A, B, C, D), k4_ordinal1)) ) ).
fof(dt_k9_dickson, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ( ~ (v1_xboole_0(k9_dickson(A, B)))  & m1_subset_1(k9_dickson(A, B), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ) ).
fof(dt_k10_dickson, axiom, m1_subset_1(k10_dickson, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))).
fof(dt_k11_dickson, axiom,  ( ~ (v2_struct_0(k11_dickson))  & l1_orders_2(k11_dickson)) ).
fof(d14_dickson, axiom, k10_dickson=a_0_0_dickson).
fof(fraenkel_a_0_0_dickson, axiom,  (! [A] :  (r2_hidden(A, a_0_0_dickson) <=>  (? [B, C] :  ( (m1_subset_1(B, k4_ordinal1) & m1_subset_1(C, k4_ordinal1))  &  (A=k1_domain_1(k4_ordinal1, k4_ordinal1, B, C) & r1_xxreal_0(B, C)) ) ) ) ) ).
fof(fc1_diff_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  & v1_xreal_0(B))  =>  (v1_funct_1(k3_diff_1(A, B)) & v1_funct_2(k3_diff_1(A, B), k1_numbers, k1_numbers)) ) ) ).
fof(fc2_diff_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  & v1_xreal_0(B))  =>  (v1_funct_1(k4_diff_1(A, B)) & v1_funct_2(k4_diff_1(A, B), k1_numbers, k1_numbers)) ) ) ).
fof(fc3_diff_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  & v1_xreal_0(B))  =>  (v1_funct_1(k5_diff_1(A, B)) & v1_funct_2(k5_diff_1(A, B), k1_numbers, k1_numbers)) ) ) ).
fof(rc1_diff_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(k1_numbers, k1_numbers)))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k4_partfun1(k1_numbers, k1_numbers)) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v1_funct_2(A, k4_ordinal1, k4_partfun1(k1_numbers, k1_numbers)) & v1_diff_1(A)) ) ) ) ) ) ) ) ) ).
fof(d1_diff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (C=k1_diff_1(A, B) <=>  (k1_relset_1(k1_numbers, C)=k1_measure6(k1_relset_1(k1_numbers, A), k4_xcmplx_0(B)) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, k1_measure6(k1_relset_1(k1_numbers, A), k4_xcmplx_0(B))) => k1_funct_1(C, D)=k1_funct_1(A, k2_xcmplx_0(D, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_diff_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (C=k2_diff_1(A, B) <=>  (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k1_funct_1(A, k2_xcmplx_0(D, B))) ) ) ) ) ) ) ) ) ).
fof(d3_diff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) => k3_diff_1(A, B)=k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_diff_1(A, B), A)) ) ) ) ).
fof(d4_diff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) => k4_diff_1(A, B)=k47_valued_1(k1_numbers, k1_numbers, k1_numbers, A, k1_diff_1(A, k4_xcmplx_0(B)))) ) ) ) ).
fof(d5_diff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) => k5_diff_1(A, B)=k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_diff_1(A, k7_xcmplx_0(B, 2)), k1_diff_1(A, k4_xcmplx_0(k7_xcmplx_0(B, 2))))) ) ) ) ).
fof(d6_diff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(k1_numbers, k1_numbers)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(k1_numbers, k1_numbers))))) )  =>  (C=k6_diff_1(A, B) <=>  (r2_relset_1(k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, C, k5_numbers), A) &  (! [D] :  (v7_ordinal1(D) => r2_relset_1(k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, C, k1_nat_1(D, 1)), k3_diff_1(k1_seqfunc(k1_numbers, k1_numbers, C, D), B))) ) ) ) ) ) ) ) ) ) ).
fof(t1_diff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_hidden(B, k1_relset_1(k1_numbers, C)) & r2_tarski(k2_xcmplx_0(B, A), k1_relset_1(k1_numbers, C)))  => k1_funct_1(k3_diff_1(C, A), B)=k6_xcmplx_0(k1_funct_1(C, k2_xcmplx_0(B, A)), k1_funct_1(C, B))) ) ) ) ) ) ) ).
fof(t2_diff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_numbers, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (v1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(B, A), C)) &  (v1_funct_2(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(B, A), C), k1_numbers, k1_numbers) & m1_subset_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(B, A), C), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ) ) ) ) ) ) ).
fof(t3_diff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k3_diff_1(C, A), B)=k6_xcmplx_0(k1_funct_1(C, k2_xcmplx_0(B, A)), k1_funct_1(C, B))) ) ) ) ) ) ).
fof(t4_diff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k4_diff_1(C, A), B)=k6_xcmplx_0(k1_funct_1(C, B), k1_funct_1(C, k6_xcmplx_0(B, A)))) ) ) ) ) ) ).
fof(t5_diff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k5_diff_1(C, A), B)=k6_xcmplx_0(k1_funct_1(C, k2_xcmplx_0(B, k7_xcmplx_0(A, 2))), k1_funct_1(C, k6_xcmplx_0(B, k7_xcmplx_0(A, 2))))) ) ) ) ) ) ).
fof(t6_diff_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (v3_funct_1(C) =>  (! [D] :  (v1_xreal_0(D) => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(C, B), k1_nat_1(A, 1)), D)=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(t7_diff_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(k26_valued_1(k1_numbers, k1_numbers, E, C), B), k1_nat_1(A, 1)), D)=k3_xcmplx_0(C, k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(E, B), k1_nat_1(A, 1)), D))) ) ) ) ) ) ) ) ) ) ).
fof(t8_diff_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, D, E), B), k1_nat_1(A, 1)), C)=k2_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(D, B), k1_nat_1(A, 1)), C), k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(E, B), k1_nat_1(A, 1)), C))) ) ) ) ) ) ) ) ) ) ).
fof(t9_diff_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, D, E), B), k1_nat_1(A, 1)), C)=k6_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(D, B), k1_nat_1(A, 1)), C), k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(E, B), k1_nat_1(A, 1)), C))) ) ) ) ) ) ) ) ) ) ).
fof(t10_diff_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k1_numbers, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k1_numbers, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, F, C), k26_valued_1(k1_numbers, k1_numbers, G, D)), B), k1_nat_1(A, 1)), E)=k2_xcmplx_0(k3_xcmplx_0(C, k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(F, B), k1_nat_1(A, 1)), E)), k3_xcmplx_0(D, k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(G, B), k1_nat_1(A, 1)), E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_diff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(C, A), 1), B)=k6_xcmplx_0(k1_funct_1(k2_diff_1(C, A), B), k1_funct_1(C, B))) ) ) ) ) ) ).
fof(d7_diff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(k1_numbers, k1_numbers)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(k1_numbers, k1_numbers))))) )  =>  (C=k7_diff_1(A, B) <=>  (r2_relset_1(k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, C, k5_numbers), A) &  (! [D] :  (v7_ordinal1(D) => r2_relset_1(k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, C, k1_nat_1(D, 1)), k4_diff_1(k1_seqfunc(k1_numbers, k1_numbers, C, D), B))) ) ) ) ) ) ) ) ) ) ).
fof(t12_diff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_numbers, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (v1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(B, A), C)) &  (v1_funct_2(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(B, A), C), k1_numbers, k1_numbers) & m1_subset_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(B, A), C), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ) ) ) ) ) ) ).
fof(t13_diff_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (v3_funct_1(C) =>  (! [D] :  (v1_xreal_0(D) => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(C, B), k1_nat_1(A, 1)), D)=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(t14_diff_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(k26_valued_1(k1_numbers, k1_numbers, E, C), B), k1_nat_1(A, 1)), D)=k3_xcmplx_0(C, k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(E, B), k1_nat_1(A, 1)), D))) ) ) ) ) ) ) ) ) ) ).
fof(t15_diff_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, D, E), B), k1_nat_1(A, 1)), C)=k2_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(D, B), k1_nat_1(A, 1)), C), k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(E, B), k1_nat_1(A, 1)), C))) ) ) ) ) ) ) ) ) ) ).
fof(t16_diff_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, D, E), B), k1_nat_1(A, 1)), C)=k6_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(D, B), k1_nat_1(A, 1)), C), k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(E, B), k1_nat_1(A, 1)), C))) ) ) ) ) ) ) ) ) ) ).
fof(t17_diff_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k1_numbers, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k1_numbers, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, F, C), k26_valued_1(k1_numbers, k1_numbers, G, D)), B), k1_nat_1(A, 1)), E)=k2_xcmplx_0(k3_xcmplx_0(C, k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(F, B), k1_nat_1(A, 1)), E)), k3_xcmplx_0(D, k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(G, B), k1_nat_1(A, 1)), E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_diff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(C, A), 1), B)=k6_xcmplx_0(k1_funct_1(C, B), k1_funct_1(k2_diff_1(C, k4_xcmplx_0(A)), B))) ) ) ) ) ) ).
fof(d8_diff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(k1_numbers, k1_numbers)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(k1_numbers, k1_numbers))))) )  =>  (C=k8_diff_1(A, B) <=>  (r2_relset_1(k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, C, k5_numbers), A) &  (! [D] :  (v7_ordinal1(D) => r2_relset_1(k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, C, k1_nat_1(D, 1)), k5_diff_1(k1_seqfunc(k1_numbers, k1_numbers, C, D), B))) ) ) ) ) ) ) ) ) ) ).
fof(t19_diff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_numbers, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (v1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(B, A), C)) &  (v1_funct_2(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(B, A), C), k1_numbers, k1_numbers) & m1_subset_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(B, A), C), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ) ) ) ) ) ) ).
fof(t20_diff_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (v3_funct_1(C) =>  (! [D] :  (v1_xreal_0(D) => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(C, B), k1_nat_1(A, 1)), D)=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(t21_diff_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(k26_valued_1(k1_numbers, k1_numbers, E, C), B), k1_nat_1(A, 1)), D)=k3_xcmplx_0(C, k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(E, B), k1_nat_1(A, 1)), D))) ) ) ) ) ) ) ) ) ) ).
fof(t22_diff_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, D, E), B), k1_nat_1(A, 1)), C)=k2_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(D, B), k1_nat_1(A, 1)), C), k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(E, B), k1_nat_1(A, 1)), C))) ) ) ) ) ) ) ) ) ) ).
fof(t23_diff_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, D, E), B), k1_nat_1(A, 1)), C)=k6_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(D, B), k1_nat_1(A, 1)), C), k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(E, B), k1_nat_1(A, 1)), C))) ) ) ) ) ) ) ) ) ) ).
fof(t24_diff_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k1_numbers, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k1_numbers, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, F, C), k26_valued_1(k1_numbers, k1_numbers, G, D)), B), k1_nat_1(A, 1)), E)=k2_xcmplx_0(k3_xcmplx_0(C, k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(F, B), k1_nat_1(A, 1)), E)), k3_xcmplx_0(D, k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(G, B), k1_nat_1(A, 1)), E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_diff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(C, A), 1), B)=k6_xcmplx_0(k1_funct_1(k2_diff_1(C, k7_xcmplx_0(A, 2)), B), k1_funct_1(k2_diff_1(C, k4_xcmplx_0(k7_xcmplx_0(A, 2))), B))) ) ) ) ) ) ).
fof(t26_diff_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(D, B), A), C)=k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(D, B), A), k2_xcmplx_0(C, k3_xcmplx_0(A, B)))) ) ) ) ) ) ) ) ).
fof(t27_diff_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(D, B), k3_xcmplx_0(2, A)), C)=k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(D, B), k3_xcmplx_0(2, A)), k2_xcmplx_0(C, k3_xcmplx_0(A, B)))) ) ) ) ) ) ) ) ).
fof(t28_diff_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(D, B), k1_nat_1(k3_xcmplx_0(2, A), 1)), C)=k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(D, B), k1_nat_1(k3_xcmplx_0(2, A), 1)), k2_xcmplx_0(k2_xcmplx_0(C, k3_xcmplx_0(A, B)), k7_xcmplx_0(B, 2)))) ) ) ) ) ) ) ) ).
fof(d9_diff_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) => k9_diff_1(A, B, C)=k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(A, B), k1_funct_1(A, C)), k6_xcmplx_0(B, C))) ) ) ) ) ) ).
fof(d10_diff_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => k10_diff_1(A, B, C, D)=k7_xcmplx_0(k6_xcmplx_0(k9_diff_1(A, B, C), k9_diff_1(A, C, D)), k6_xcmplx_0(B, D))) ) ) ) ) ) ) ) ).
fof(d11_diff_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) => k11_diff_1(A, B, C, D, E)=k7_xcmplx_0(k6_xcmplx_0(k10_diff_1(A, B, C, D), k10_diff_1(A, C, D, E)), k6_xcmplx_0(B, E))) ) ) ) ) ) ) ) ) ) ).
fof(t29_diff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k9_diff_1(C, A, B)=k9_diff_1(C, B, A)) ) ) ) ) ) ).
fof(t30_diff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (v3_funct_1(C) => k9_diff_1(C, A, B)=k5_numbers) ) ) ) ) ) ) ).
fof(t31_diff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k9_diff_1(k26_valued_1(k1_numbers, k1_numbers, D, A), B, C)=k3_xcmplx_0(A, k9_diff_1(D, B, C))) ) ) ) ) ) ) ) ).
fof(t32_diff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k9_diff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), A, B)=k2_xcmplx_0(k9_diff_1(C, A, B), k9_diff_1(D, A, B))) ) ) ) ) ) ) ) ).
fof(t33_diff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k1_numbers, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k9_diff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, E, A), k26_valued_1(k1_numbers, k1_numbers, F, B)), C, D)=k2_xcmplx_0(k3_xcmplx_0(A, k9_diff_1(E, C, D)), k3_xcmplx_0(B, k9_diff_1(F, C, D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_diff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (r1_zfmisc_1(A, B, C) =>  (k10_diff_1(D, A, B, C)=k10_diff_1(D, B, C, A) & k10_diff_1(D, A, B, C)=k10_diff_1(D, C, B, A)) ) ) ) ) ) ) ) ) ) ).
fof(t35_diff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (r1_zfmisc_1(A, B, C) =>  (k10_diff_1(D, A, B, C)=k10_diff_1(D, C, A, B) & k10_diff_1(D, A, B, C)=k10_diff_1(D, B, A, C)) ) ) ) ) ) ) ) ) ) ).
fof(t36_diff_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(E, C), B), C), A), D)=k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(E, C), k2_xcmplx_0(B, A)), D)) ) ) ) ) ) ) ) ) ) ).
fof(d12_diff_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_partfun1(k1_numbers, k1_numbers)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(k1_numbers, k1_numbers))))) )  =>  (v1_diff_1(A) <=>  (! [B] :  (v7_ordinal1(B) =>  (v1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, A, B)) &  (v1_funct_2(k1_seqfunc(k1_numbers, k1_numbers, A, B), k4_ordinal1, k1_numbers) & m1_subset_1(k1_seqfunc(k1_numbers, k1_numbers, A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ) ) ) ).
fof(t37_diff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k4_partfun1(k1_numbers, k1_numbers)) &  (v1_diff_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(k1_numbers, k1_numbers))))) ) )  =>  ( (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  (r1_xxreal_0(G, F) => k8_nat_1(k1_numbers, k12_diff_1(E, F), G)=k3_xcmplx_0(k3_xcmplx_0(k4_newton(G, F), k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(C, A), G), B)), k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(D, A), k7_nat_d(F, G)), k2_xcmplx_0(B, k3_xcmplx_0(G, A))))) ) ) ) )  =>  (k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), A), 1), B)=k6_series_1(k12_diff_1(E, 1), 1) & k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), A), 2), B)=k6_series_1(k12_diff_1(E, 2), 2)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_diff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_hidden(B, k1_relset_1(k1_numbers, C)) & r2_tarski(k6_xcmplx_0(B, A), k1_relset_1(k1_numbers, C)))  => k1_funct_1(k4_diff_1(C, A), B)=k6_xcmplx_0(k1_funct_1(C, B), k1_funct_1(C, k6_xcmplx_0(B, A)))) ) ) ) ) ) ) ).
fof(t39_diff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_tarski(k2_xcmplx_0(B, k7_xcmplx_0(A, 2)), k1_relset_1(k1_numbers, C)) & r2_tarski(k6_xcmplx_0(B, k7_xcmplx_0(A, 2)), k1_relset_1(k1_numbers, C)))  => k1_funct_1(k5_diff_1(C, A), B)=k6_xcmplx_0(k1_funct_1(C, k2_xcmplx_0(B, k7_xcmplx_0(A, 2))), k1_funct_1(C, k6_xcmplx_0(B, k7_xcmplx_0(A, 2))))) ) ) ) ) ) ) ).
fof(dt_k1_diff_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  & v1_xreal_0(B))  =>  (v1_funct_1(k1_diff_1(A, B)) & m1_subset_1(k1_diff_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ) ).
fof(dt_k2_diff_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  & v1_xreal_0(B))  =>  (v1_funct_1(k2_diff_1(A, B)) &  (v1_funct_2(k2_diff_1(A, B), k1_numbers, k1_numbers) & m1_subset_1(k2_diff_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ) ) ).
fof(redefinition_k2_diff_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  & v1_xreal_0(B))  => k2_diff_1(A, B)=k1_diff_1(A, B)) ) ).
fof(dt_k3_diff_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  & v1_xreal_0(B))  =>  (v1_funct_1(k3_diff_1(A, B)) & m1_subset_1(k3_diff_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ) ).
fof(dt_k4_diff_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  & v1_xreal_0(B))  =>  (v1_funct_1(k4_diff_1(A, B)) & m1_subset_1(k4_diff_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ) ).
fof(dt_k5_diff_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  & v1_xreal_0(B))  =>  (v1_funct_1(k5_diff_1(A, B)) & m1_subset_1(k5_diff_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ) ).
fof(dt_k6_diff_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  & v1_xreal_0(B))  =>  (v1_funct_1(k6_diff_1(A, B)) &  (v1_funct_2(k6_diff_1(A, B), k4_ordinal1, k4_partfun1(k1_numbers, k1_numbers)) & m1_subset_1(k6_diff_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(k1_numbers, k1_numbers))))) ) ) ) ).
fof(dt_k7_diff_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  & v1_xreal_0(B))  =>  (v1_funct_1(k7_diff_1(A, B)) &  (v1_funct_2(k7_diff_1(A, B), k4_ordinal1, k4_partfun1(k1_numbers, k1_numbers)) & m1_subset_1(k7_diff_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(k1_numbers, k1_numbers))))) ) ) ) ).
fof(dt_k8_diff_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  & v1_xreal_0(B))  =>  (v1_funct_1(k8_diff_1(A, B)) &  (v1_funct_2(k8_diff_1(A, B), k4_ordinal1, k4_partfun1(k1_numbers, k1_numbers)) & m1_subset_1(k8_diff_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(k1_numbers, k1_numbers))))) ) ) ) ).
fof(dt_k9_diff_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  &  (v1_xreal_0(B) & v1_xreal_0(C)) )  => v1_xreal_0(k9_diff_1(A, B, C))) ) ).
fof(dt_k10_diff_1, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  &  (v1_xreal_0(B) &  (v1_xreal_0(C) & v1_xreal_0(D)) ) )  => v1_xreal_0(k10_diff_1(A, B, C, D))) ) ).
fof(dt_k11_diff_1, axiom,  (! [A, B, C, D, E] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  &  (v1_xreal_0(B) &  (v1_xreal_0(C) &  (v1_xreal_0(D) & v1_xreal_0(E)) ) ) )  => v1_xreal_0(k11_diff_1(A, B, C, D, E))) ) ).
fof(dt_k12_diff_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_partfun1(k1_numbers, k1_numbers)) &  (v1_diff_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(k1_numbers, k1_numbers))))) ) )  & v7_ordinal1(B))  =>  (v1_funct_1(k12_diff_1(A, B)) &  (v1_funct_2(k12_diff_1(A, B), k4_ordinal1, k1_numbers) & m1_subset_1(k12_diff_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(redefinition_k12_diff_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_partfun1(k1_numbers, k1_numbers)) &  (v1_diff_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(k1_numbers, k1_numbers))))) ) )  & v7_ordinal1(B))  => k12_diff_1(A, B)=k1_funct_1(A, B)) ) ).
fof(t1_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k9_diff_1(C, B, k2_xcmplx_0(B, A))=k7_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(C, A), 1), B), A)) ) ) ) ) ) ).
fof(t2_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( ~ (A=k5_numbers)  => k10_diff_1(C, B, k2_xcmplx_0(B, A), k2_xcmplx_0(B, k3_xcmplx_0(2, A)))=k7_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(C, A), 2), B), k3_xcmplx_0(2, k1_square_1(A)))) ) ) ) ) ) ) ).
fof(t3_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k9_diff_1(C, k6_xcmplx_0(B, A), B)=k7_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(C, A), 1), B), A)) ) ) ) ) ) ).
fof(t4_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( ~ (A=k5_numbers)  => k10_diff_1(C, k6_xcmplx_0(B, k3_xcmplx_0(2, A)), k6_xcmplx_0(B, A), B)=k7_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(C, A), 2), B), k3_xcmplx_0(2, k1_square_1(A)))) ) ) ) ) ) ) ).
fof(t5_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k10_diff_1(k26_valued_1(k1_numbers, k1_numbers, E, A), B, C, D)=k3_xcmplx_0(A, k10_diff_1(E, B, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t6_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k10_diff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, D, E), A, B, C)=k2_xcmplx_0(k10_diff_1(D, A, B, C), k10_diff_1(E, A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t7_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k1_numbers, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k1_numbers, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k10_diff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, F, A), k26_valued_1(k1_numbers, k1_numbers, G, B)), C, D, E)=k2_xcmplx_0(k3_xcmplx_0(A, k10_diff_1(F, C, D, E)), k3_xcmplx_0(B, k10_diff_1(G, C, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k1_numbers, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k11_diff_1(k26_valued_1(k1_numbers, k1_numbers, F, A), B, C, D, E)=k3_xcmplx_0(A, k11_diff_1(F, B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k1_numbers, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k11_diff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, E, F), A, B, C, D)=k2_xcmplx_0(k11_diff_1(E, A, B, C, D), k11_diff_1(F, A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k1_numbers, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k1_numbers, k1_numbers) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k11_diff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, G, A), k26_valued_1(k1_numbers, k1_numbers, H, B)), C, D, E, F)=k2_xcmplx_0(k3_xcmplx_0(A, k11_diff_1(G, C, D, E, F)), k3_xcmplx_0(B, k11_diff_1(H, C, D, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_diff_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) => k1_diff_2(A, B, C, D, E, F)=k7_xcmplx_0(k6_xcmplx_0(k11_diff_1(A, B, C, D, E), k11_diff_1(A, C, D, E, F)), k6_xcmplx_0(B, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k1_numbers, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_diff_2(k26_valued_1(k1_numbers, k1_numbers, G, A), B, C, D, E, F)=k3_xcmplx_0(A, k1_diff_2(G, B, C, D, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k1_numbers, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k1_numbers, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_diff_2(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, F, G), A, B, C, D, E)=k2_xcmplx_0(k1_diff_2(F, A, B, C, D, E), k1_diff_2(G, A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k1_numbers, k1_numbers) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, k1_numbers, k1_numbers) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_diff_2(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, H, A), k26_valued_1(k1_numbers, k1_numbers, I, B)), C, D, E, F, G)=k2_xcmplx_0(k3_xcmplx_0(A, k1_diff_2(H, C, D, E, F, G)), k3_xcmplx_0(B, k1_diff_2(I, C, D, E, F, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_diff_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) => k2_diff_2(A, B, C, D, E, F, G)=k7_xcmplx_0(k6_xcmplx_0(k1_diff_2(A, B, C, D, E, F), k1_diff_2(A, C, D, E, F, G)), k6_xcmplx_0(B, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k1_numbers, k1_numbers) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k2_diff_2(k26_valued_1(k1_numbers, k1_numbers, H, A), B, C, D, E, F, G)=k3_xcmplx_0(A, k2_diff_2(H, B, C, D, E, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k1_numbers, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k1_numbers, k1_numbers) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k2_diff_2(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, G, H), A, B, C, D, E, F)=k2_xcmplx_0(k2_diff_2(G, A, B, C, D, E, F), k2_diff_2(H, A, B, C, D, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, k1_numbers, k1_numbers) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, k1_numbers, k1_numbers) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k2_diff_2(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, I, A), k26_valued_1(k1_numbers, k1_numbers, J, B)), C, D, E, F, G, H)=k2_xcmplx_0(k3_xcmplx_0(A, k2_diff_2(I, C, D, E, F, G, H)), k3_xcmplx_0(B, k2_diff_2(J, C, D, E, F, G, H)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (r1_zfmisc_1(A, B, C) => k10_diff_1(D, A, B, C)=k2_xcmplx_0(k2_xcmplx_0(k7_xcmplx_0(k1_funct_1(D, A), k3_xcmplx_0(k6_xcmplx_0(A, B), k6_xcmplx_0(A, C))), k7_xcmplx_0(k1_funct_1(D, B), k3_xcmplx_0(k6_xcmplx_0(B, A), k6_xcmplx_0(B, C)))), k7_xcmplx_0(k1_funct_1(D, C), k3_xcmplx_0(k6_xcmplx_0(C, A), k6_xcmplx_0(C, B))))) ) ) ) ) ) ) ) ) ).
fof(t18_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (r2_zfmisc_1(A, B, C, D) =>  (k11_diff_1(E, A, B, C, D)=k11_diff_1(E, B, C, D, A) & k11_diff_1(E, A, B, C, D)=k11_diff_1(E, D, C, B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (r2_zfmisc_1(A, B, C, D) =>  (k11_diff_1(E, A, B, C, D)=k11_diff_1(E, B, A, C, D) & k11_diff_1(E, A, B, C, D)=k11_diff_1(E, B, C, A, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (v3_funct_1(D) => k10_diff_1(D, A, B, C)=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(t21_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( ~ (A=B)  => k9_diff_1(k1_fcont_1(C, D), A, B)=C) ) ) ) ) ) ) ) ) ).
fof(t22_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (r1_zfmisc_1(A, B, C) => k10_diff_1(k1_fcont_1(D, E), A, B, C)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (r2_zfmisc_1(A, B, C, D) => k11_diff_1(k1_fcont_1(E, F), A, B, C, D)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => k1_funct_1(k3_diff_1(k1_fcont_1(B, C), A), D)=k3_xcmplx_0(B, A)) ) ) ) ) ) ) ) ).
fof(t25_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => k1_funct_1(k4_diff_1(k1_fcont_1(B, C), A), D)=k3_xcmplx_0(B, A)) ) ) ) ) ) ) ) ).
fof(t26_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => k1_funct_1(k5_diff_1(k1_fcont_1(B, C), A), D)=k3_xcmplx_0(B, A)) ) ) ) ) ) ) ) ).
fof(t27_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k1_numbers, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [G] :  (v1_xreal_0(G) => k1_funct_1(F, G)=k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(C, k1_square_1(G)), k3_xcmplx_0(D, G)), E)) )  =>  (A=B | k9_diff_1(F, A, B)=k2_xcmplx_0(k3_xcmplx_0(C, k2_xcmplx_0(A, B)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k1_numbers, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( ( (! [H] :  (v1_xreal_0(H) => k1_funct_1(G, H)=k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(D, k1_square_1(H)), k3_xcmplx_0(E, H)), F)) )  & r1_zfmisc_1(A, B, C))  => k10_diff_1(G, A, B, C)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k1_numbers, k1_numbers) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( ( (! [I] :  (v1_xreal_0(I) => k1_funct_1(H, I)=k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(E, k1_square_1(I)), k3_xcmplx_0(F, I)), G)) )  & r2_zfmisc_1(A, B, C, D))  => k11_diff_1(H, A, B, C, D)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, k1_numbers, k1_numbers) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( ( (! [J] :  (v1_xreal_0(J) => k1_funct_1(I, J)=k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(F, k1_square_1(J)), k3_xcmplx_0(G, J)), H)) )  & r3_zfmisc_1(A, B, C, D, E))  => k1_diff_2(I, A, B, C, D, E)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [F] :  (v1_xreal_0(F) => k1_funct_1(E, F)=k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B, k1_square_1(F)), k3_xcmplx_0(C, F)), D)) )  =>  (! [F] :  (v1_xreal_0(F) => k1_funct_1(k3_diff_1(E, A), F)=k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, B), A), F), k3_xcmplx_0(B, k1_square_1(A))), k3_xcmplx_0(C, A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [F] :  (v1_xreal_0(F) => k1_funct_1(E, F)=k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B, k1_square_1(F)), k3_xcmplx_0(C, F)), D)) )  =>  (! [F] :  (v1_xreal_0(F) => k1_funct_1(k4_diff_1(E, A), F)=k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, B), A), F), k3_xcmplx_0(B, k1_square_1(A))), k3_xcmplx_0(C, A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [F] :  (v1_xreal_0(F) => k1_funct_1(E, F)=k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B, k1_square_1(F)), k3_xcmplx_0(C, F)), D)) )  =>  (! [F] :  (v1_xreal_0(F) => k1_funct_1(k5_diff_1(E, A), F)=k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, B), A), F), k3_xcmplx_0(C, A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [E] :  (v1_xreal_0(E) => k1_funct_1(D, E)=k7_xcmplx_0(C, E)) )  =>  (A=B |  (A=k5_numbers |  (B=k5_numbers | k9_diff_1(D, A, B)=k4_xcmplx_0(k7_xcmplx_0(C, k3_xcmplx_0(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( ( (! [F] :  (v1_xreal_0(F) => k1_funct_1(E, F)=k7_xcmplx_0(D, F)) )  & r1_zfmisc_1(A, B, C))  =>  (A=k5_numbers |  (B=k5_numbers |  (C=k5_numbers | k10_diff_1(E, A, B, C)=k7_xcmplx_0(D, k3_xcmplx_0(k3_xcmplx_0(A, B), C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k1_numbers, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( ( (! [G] :  (v1_xreal_0(G) => k1_funct_1(F, G)=k7_xcmplx_0(E, G)) )  & r2_zfmisc_1(A, B, C, D))  =>  (A=k5_numbers |  (B=k5_numbers |  (C=k5_numbers |  (D=k5_numbers | k11_diff_1(F, A, B, C, D)=k4_xcmplx_0(k7_xcmplx_0(E, k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(A, B), C), D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k1_numbers, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( ( (! [H] :  (v1_xreal_0(H) => k1_funct_1(G, H)=k7_xcmplx_0(F, H)) )  & r3_zfmisc_1(A, B, C, D, E))  =>  (A=k5_numbers |  (B=k5_numbers |  (C=k5_numbers |  (D=k5_numbers |  (E=k5_numbers | k1_diff_2(G, A, B, C, D, E)=k7_xcmplx_0(F, k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(A, B), C), D), E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  (k1_funct_1(C, D)=k7_xcmplx_0(B, D) &  ( ~ (D=k5_numbers)  &  ~ (k2_xcmplx_0(D, A)=k5_numbers) ) ) ) )  =>  (! [D] :  (v1_xreal_0(D) => k1_funct_1(k3_diff_1(C, A), D)=k7_xcmplx_0(k4_xcmplx_0(k3_xcmplx_0(B, A)), k3_xcmplx_0(k2_xcmplx_0(D, A), D))) ) ) ) ) ) ) ) ) ).
fof(t39_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  (k1_funct_1(C, D)=k7_xcmplx_0(B, D) &  ( ~ (D=k5_numbers)  &  ~ (k6_xcmplx_0(D, A)=k5_numbers) ) ) ) )  =>  (! [D] :  (v1_xreal_0(D) => k1_funct_1(k4_diff_1(C, A), D)=k7_xcmplx_0(k4_xcmplx_0(k3_xcmplx_0(B, A)), k3_xcmplx_0(k6_xcmplx_0(D, A), D))) ) ) ) ) ) ) ) ) ).
fof(t40_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  (k1_funct_1(C, D)=k7_xcmplx_0(B, D) &  ( ~ (k2_xcmplx_0(D, k7_xcmplx_0(A, 2))=k5_numbers)  &  ~ (k6_xcmplx_0(D, k7_xcmplx_0(A, 2))=k5_numbers) ) ) ) )  =>  (! [D] :  (v1_xreal_0(D) => k1_funct_1(k5_diff_1(C, A), D)=k7_xcmplx_0(k4_xcmplx_0(k3_xcmplx_0(B, A)), k3_xcmplx_0(k6_xcmplx_0(D, k7_xcmplx_0(A, 2)), k2_xcmplx_0(D, k7_xcmplx_0(A, 2))))) ) ) ) ) ) ) ) ) ).
fof(t41_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k9_diff_1(k16_sin_cos, A, B)=k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, k19_sin_cos(k7_xcmplx_0(k2_xcmplx_0(A, B), 2))), k17_sin_cos(k7_xcmplx_0(k6_xcmplx_0(A, B), 2))), k6_xcmplx_0(A, B))) ) ) ) ).
fof(t42_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k3_diff_1(k16_sin_cos, A), B)=k3_xcmplx_0(2, k3_xcmplx_0(k19_sin_cos(k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2, B), A), 2)), k17_sin_cos(k7_xcmplx_0(A, 2))))) ) ) ) ).
fof(t43_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k4_diff_1(k16_sin_cos, A), B)=k3_xcmplx_0(2, k3_xcmplx_0(k19_sin_cos(k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(2, B), A), 2)), k17_sin_cos(k7_xcmplx_0(A, 2))))) ) ) ) ).
fof(t44_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k5_diff_1(k16_sin_cos, A), B)=k3_xcmplx_0(2, k3_xcmplx_0(k19_sin_cos(B), k17_sin_cos(k7_xcmplx_0(A, 2))))) ) ) ) ).
fof(t45_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k9_diff_1(k18_sin_cos, A, B)=k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, k17_sin_cos(k7_xcmplx_0(k2_xcmplx_0(A, B), 2))), k17_sin_cos(k7_xcmplx_0(k6_xcmplx_0(A, B), 2))), k6_xcmplx_0(A, B)))) ) ) ) ).
fof(t46_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k3_diff_1(k18_sin_cos, A), B)=k4_xcmplx_0(k3_xcmplx_0(2, k3_xcmplx_0(k17_sin_cos(k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2, B), A), 2)), k17_sin_cos(k7_xcmplx_0(A, 2)))))) ) ) ) ).
fof(t47_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k4_diff_1(k18_sin_cos, A), B)=k4_xcmplx_0(k3_xcmplx_0(2, k3_xcmplx_0(k17_sin_cos(k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(2, B), A), 2)), k17_sin_cos(k7_xcmplx_0(A, 2)))))) ) ) ) ).
fof(t48_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k5_diff_1(k18_sin_cos, A), B)=k4_xcmplx_0(k3_xcmplx_0(2, k3_xcmplx_0(k17_sin_cos(B), k17_sin_cos(k7_xcmplx_0(A, 2)))))) ) ) ) ).
fof(t49_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k9_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k16_sin_cos), A, B)=k7_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1, 2), k6_xcmplx_0(k19_sin_cos(k3_xcmplx_0(2, B)), k19_sin_cos(k3_xcmplx_0(2, A)))), k6_xcmplx_0(A, B))) ) ) ) ).
fof(t50_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k3_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k16_sin_cos), A), B)=k3_xcmplx_0(k7_xcmplx_0(1, 2), k6_xcmplx_0(k19_sin_cos(k3_xcmplx_0(2, B)), k19_sin_cos(k3_xcmplx_0(2, k2_xcmplx_0(B, A)))))) ) ) ) ).
fof(t51_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k4_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k16_sin_cos), A), B)=k3_xcmplx_0(k7_xcmplx_0(1, 2), k6_xcmplx_0(k19_sin_cos(k3_xcmplx_0(2, k6_xcmplx_0(B, A))), k19_sin_cos(k3_xcmplx_0(2, B))))) ) ) ) ).
fof(t52_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k5_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k16_sin_cos), A), B)=k3_xcmplx_0(k7_xcmplx_0(1, 2), k6_xcmplx_0(k19_sin_cos(k6_xcmplx_0(k3_xcmplx_0(2, B), A)), k19_sin_cos(k2_xcmplx_0(k3_xcmplx_0(2, B), A))))) ) ) ) ).
fof(t53_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k9_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), A, B)=k7_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1, 2), k6_xcmplx_0(k17_sin_cos(k3_xcmplx_0(2, A)), k17_sin_cos(k3_xcmplx_0(2, B)))), k6_xcmplx_0(A, B))) ) ) ) ).
fof(t54_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k3_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), A), B)=k3_xcmplx_0(k7_xcmplx_0(1, 2), k6_xcmplx_0(k17_sin_cos(k3_xcmplx_0(2, k2_xcmplx_0(B, A))), k17_sin_cos(k3_xcmplx_0(2, B))))) ) ) ) ).
fof(t55_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k4_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), A), B)=k3_xcmplx_0(k7_xcmplx_0(1, 2), k6_xcmplx_0(k17_sin_cos(k3_xcmplx_0(2, B)), k17_sin_cos(k3_xcmplx_0(2, k6_xcmplx_0(B, A)))))) ) ) ) ).
fof(t56_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k5_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), A), B)=k3_xcmplx_0(k7_xcmplx_0(1, 2), k6_xcmplx_0(k17_sin_cos(k2_xcmplx_0(k3_xcmplx_0(2, B), A)), k17_sin_cos(k6_xcmplx_0(k3_xcmplx_0(2, B), A))))) ) ) ) ).
fof(t57_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k9_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k18_sin_cos), A, B)=k7_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1, 2), k6_xcmplx_0(k19_sin_cos(k3_xcmplx_0(2, A)), k19_sin_cos(k3_xcmplx_0(2, B)))), k6_xcmplx_0(A, B))) ) ) ) ).
fof(t58_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k3_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k18_sin_cos), A), B)=k3_xcmplx_0(k7_xcmplx_0(1, 2), k6_xcmplx_0(k19_sin_cos(k3_xcmplx_0(2, k2_xcmplx_0(B, A))), k19_sin_cos(k3_xcmplx_0(2, B))))) ) ) ) ).
fof(t59_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k4_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k18_sin_cos), A), B)=k3_xcmplx_0(k7_xcmplx_0(1, 2), k6_xcmplx_0(k19_sin_cos(k3_xcmplx_0(2, B)), k19_sin_cos(k3_xcmplx_0(2, k6_xcmplx_0(B, A)))))) ) ) ) ).
fof(t60_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k5_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k18_sin_cos), A), B)=k3_xcmplx_0(k7_xcmplx_0(1, 2), k6_xcmplx_0(k19_sin_cos(k2_xcmplx_0(k3_xcmplx_0(2, B), A)), k19_sin_cos(k6_xcmplx_0(k3_xcmplx_0(2, B), A))))) ) ) ) ).
fof(t61_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k9_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k16_sin_cos), k18_sin_cos), A, B)=k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1, 2), k2_xcmplx_0(k3_xcmplx_0(k17_sin_cos(k7_xcmplx_0(k3_xcmplx_0(3, k2_xcmplx_0(B, A)), 2)), k17_sin_cos(k7_xcmplx_0(k3_xcmplx_0(3, k6_xcmplx_0(B, A)), 2))), k3_xcmplx_0(k17_sin_cos(k7_xcmplx_0(k2_xcmplx_0(A, B), 2)), k17_sin_cos(k7_xcmplx_0(k6_xcmplx_0(A, B), 2))))), k6_xcmplx_0(A, B)))) ) ) ) ).
fof(t62_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k3_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k16_sin_cos), k18_sin_cos), A), B)=k3_xcmplx_0(k7_xcmplx_0(1, 2), k6_xcmplx_0(k3_xcmplx_0(k17_sin_cos(k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(6, B), k3_xcmplx_0(3, A)), 2)), k17_sin_cos(k7_xcmplx_0(k3_xcmplx_0(3, A), 2))), k3_xcmplx_0(k17_sin_cos(k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2, B), A), 2)), k17_sin_cos(k7_xcmplx_0(A, 2)))))) ) ) ) ).
fof(t63_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k4_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k16_sin_cos), k18_sin_cos), A), B)=k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1, 2), k3_xcmplx_0(k17_sin_cos(k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(6, B), k3_xcmplx_0(3, A)), 2)), k17_sin_cos(k7_xcmplx_0(k3_xcmplx_0(3, A), 2)))), k3_xcmplx_0(k7_xcmplx_0(1, 2), k3_xcmplx_0(k17_sin_cos(k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(2, B), A), 2)), k17_sin_cos(k7_xcmplx_0(A, 2)))))) ) ) ) ).
fof(t64_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k5_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k16_sin_cos), k18_sin_cos), A), B)=k2_xcmplx_0(k4_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1, 2), k3_xcmplx_0(k17_sin_cos(B), k17_sin_cos(k7_xcmplx_0(A, 2))))), k3_xcmplx_0(k7_xcmplx_0(1, 2), k3_xcmplx_0(k17_sin_cos(k3_xcmplx_0(3, B)), k17_sin_cos(k7_xcmplx_0(k3_xcmplx_0(3, A), 2)))))) ) ) ) ).
fof(t65_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k9_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), k18_sin_cos), A, B)=k7_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1, 2), k2_xcmplx_0(k3_xcmplx_0(k19_sin_cos(k7_xcmplx_0(k2_xcmplx_0(A, B), 2)), k17_sin_cos(k7_xcmplx_0(k6_xcmplx_0(A, B), 2))), k3_xcmplx_0(k19_sin_cos(k7_xcmplx_0(k3_xcmplx_0(3, k2_xcmplx_0(A, B)), 2)), k17_sin_cos(k7_xcmplx_0(k3_xcmplx_0(3, k6_xcmplx_0(A, B)), 2))))), k6_xcmplx_0(A, B))) ) ) ) ).
fof(t66_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k3_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), k18_sin_cos), A), B)=k3_xcmplx_0(k7_xcmplx_0(1, 2), k2_xcmplx_0(k3_xcmplx_0(k19_sin_cos(k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2, B), A), 2)), k17_sin_cos(k7_xcmplx_0(A, 2))), k3_xcmplx_0(k19_sin_cos(k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(6, B), k3_xcmplx_0(3, A)), 2)), k17_sin_cos(k7_xcmplx_0(k3_xcmplx_0(3, A), 2)))))) ) ) ) ).
fof(t67_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k4_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), k18_sin_cos), A), B)=k3_xcmplx_0(k7_xcmplx_0(1, 2), k2_xcmplx_0(k3_xcmplx_0(k19_sin_cos(k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(2, B), A), 2)), k17_sin_cos(k7_xcmplx_0(A, 2))), k3_xcmplx_0(k19_sin_cos(k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(6, B), k3_xcmplx_0(3, A)), 2)), k17_sin_cos(k7_xcmplx_0(k3_xcmplx_0(3, A), 2)))))) ) ) ) ).
fof(t68_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k5_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), k18_sin_cos), A), B)=k3_xcmplx_0(k7_xcmplx_0(1, 2), k2_xcmplx_0(k3_xcmplx_0(k19_sin_cos(B), k17_sin_cos(k7_xcmplx_0(A, 2))), k3_xcmplx_0(k19_sin_cos(k3_xcmplx_0(3, B)), k17_sin_cos(k7_xcmplx_0(k3_xcmplx_0(3, A), 2)))))) ) ) ) ).
fof(t69_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_hidden(A, k9_xtuple_0(k26_sin_cos)) & r2_hidden(B, k9_xtuple_0(k26_sin_cos)))  => k9_diff_1(k26_sin_cos, A, B)=k7_xcmplx_0(k17_sin_cos(k6_xcmplx_0(A, B)), k3_xcmplx_0(k3_xcmplx_0(k19_sin_cos(A), k19_sin_cos(B)), k6_xcmplx_0(A, B)))) ) ) ) ) ).
fof(t70_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_hidden(A, k9_xtuple_0(k27_sin_cos)) & r2_hidden(B, k9_xtuple_0(k27_sin_cos)))  => k9_diff_1(k27_sin_cos, A, B)=k4_xcmplx_0(k7_xcmplx_0(k17_sin_cos(k6_xcmplx_0(A, B)), k3_xcmplx_0(k3_xcmplx_0(k17_sin_cos(A), k17_sin_cos(B)), k6_xcmplx_0(A, B))))) ) ) ) ) ).
fof(t71_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_hidden(A, k9_xtuple_0(k2_fdiff_9)) & r2_hidden(B, k9_xtuple_0(k2_fdiff_9)))  => k9_diff_1(k2_fdiff_9, A, B)=k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, k19_sin_cos(k7_xcmplx_0(k2_xcmplx_0(B, A), 2))), k17_sin_cos(k7_xcmplx_0(k6_xcmplx_0(B, A), 2))), k3_xcmplx_0(k3_xcmplx_0(k17_sin_cos(B), k17_sin_cos(A)), k6_xcmplx_0(A, B)))) ) ) ) ) ).
fof(t72_diff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_hidden(A, k9_xtuple_0(k1_fdiff_9)) & r2_hidden(B, k9_xtuple_0(k1_fdiff_9)))  => k9_diff_1(k1_fdiff_9, A, B)=k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, k17_sin_cos(k7_xcmplx_0(k2_xcmplx_0(B, A), 2))), k17_sin_cos(k7_xcmplx_0(k6_xcmplx_0(B, A), 2))), k3_xcmplx_0(k3_xcmplx_0(k19_sin_cos(B), k19_sin_cos(A)), k6_xcmplx_0(A, B))))) ) ) ) ) ).
fof(dt_k1_diff_2, axiom,  (! [A, B, C, D, E, F] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  &  (v1_xreal_0(B) &  (v1_xreal_0(C) &  (v1_xreal_0(D) &  (v1_xreal_0(E) & v1_xreal_0(F)) ) ) ) )  => v1_xreal_0(k1_diff_2(A, B, C, D, E, F))) ) ).
fof(dt_k2_diff_2, axiom,  (! [A, B, C, D, E, F, G] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  &  (v1_xreal_0(B) &  (v1_xreal_0(C) &  (v1_xreal_0(D) &  (v1_xreal_0(E) &  (v1_xreal_0(F) & v1_xreal_0(G)) ) ) ) ) )  => v1_xreal_0(k2_diff_2(A, B, C, D, E, F, G))) ) ).
fof(t1_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k5_diff_1(C, A), B)=k6_xcmplx_0(k1_funct_1(k3_diff_1(C, k7_xcmplx_0(A, 2)), B), k1_funct_1(k3_diff_1(C, k4_xcmplx_0(k7_xcmplx_0(A, 2))), B))) ) ) ) ) ) ).
fof(t2_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k3_diff_1(C, k4_xcmplx_0(k7_xcmplx_0(A, 2))), B)=k4_xcmplx_0(k1_funct_1(k4_diff_1(C, k7_xcmplx_0(A, 2)), B))) ) ) ) ) ) ).
fof(t3_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k5_diff_1(C, A), B)=k6_xcmplx_0(k1_funct_1(k4_diff_1(C, k7_xcmplx_0(A, 2)), B), k1_funct_1(k4_diff_1(C, k4_xcmplx_0(k7_xcmplx_0(A, 2))), B))) ) ) ) ) ) ).
fof(t4_diff_3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k1_numbers, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, E, C), F), B), k2_xcmplx_0(A, 1)), D)=k2_xcmplx_0(k3_xcmplx_0(C, k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(E, B), k2_xcmplx_0(A, 1)), D)), k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(F, B), k2_xcmplx_0(A, 1)), D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_diff_3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k1_numbers, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, E, k26_valued_1(k1_numbers, k1_numbers, F, C)), B), k2_xcmplx_0(A, 1)), D)=k2_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(E, B), k2_xcmplx_0(A, 1)), D), k3_xcmplx_0(C, k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(F, B), k2_xcmplx_0(A, 1)), D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_diff_3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k1_numbers, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k1_numbers, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, F, C), k26_valued_1(k1_numbers, k1_numbers, G, D)), B), k2_xcmplx_0(A, 1)), E)=k6_xcmplx_0(k3_xcmplx_0(C, k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(F, B), k2_xcmplx_0(A, 1)), E)), k3_xcmplx_0(D, k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(G, B), k2_xcmplx_0(A, 1)), E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_numbers, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => r2_relset_1(k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(B, A), 1), k3_diff_1(B, A))) ) ) ) ).
fof(t8_diff_3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k1_numbers, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, E, C), F), B), k2_xcmplx_0(A, 1)), D)=k2_xcmplx_0(k3_xcmplx_0(C, k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(E, B), k2_xcmplx_0(A, 1)), D)), k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(F, B), k2_xcmplx_0(A, 1)), D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_diff_3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k1_numbers, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, E, k26_valued_1(k1_numbers, k1_numbers, F, C)), B), k2_xcmplx_0(A, 1)), D)=k2_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(E, B), k2_xcmplx_0(A, 1)), D), k3_xcmplx_0(C, k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(F, B), k2_xcmplx_0(A, 1)), D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_diff_3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k1_numbers, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k1_numbers, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, F, C), k26_valued_1(k1_numbers, k1_numbers, G, D)), B), k2_xcmplx_0(A, 1)), E)=k6_xcmplx_0(k3_xcmplx_0(C, k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(F, B), k2_xcmplx_0(A, 1)), E)), k3_xcmplx_0(D, k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(G, B), k2_xcmplx_0(A, 1)), E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_numbers, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => r2_relset_1(k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(B, A), 1), k4_diff_1(B, A))) ) ) ) ).
fof(t12_diff_3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(E, C), B), C), A), D)=k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(E, C), k2_xcmplx_0(B, A)), D)) ) ) ) ) ) ) ) ) ) ).
fof(t13_diff_3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k1_numbers, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, E, C), F), B), k2_xcmplx_0(A, 1)), D)=k2_xcmplx_0(k3_xcmplx_0(C, k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(E, B), k2_xcmplx_0(A, 1)), D)), k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(F, B), k2_xcmplx_0(A, 1)), D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_diff_3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k1_numbers, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, E, k26_valued_1(k1_numbers, k1_numbers, F, C)), B), k2_xcmplx_0(A, 1)), D)=k2_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(E, B), k2_xcmplx_0(A, 1)), D), k3_xcmplx_0(C, k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(F, B), k2_xcmplx_0(A, 1)), D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_diff_3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k1_numbers, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k1_numbers, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, F, C), k26_valued_1(k1_numbers, k1_numbers, G, D)), B), k2_xcmplx_0(A, 1)), E)=k6_xcmplx_0(k3_xcmplx_0(C, k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(F, B), k2_xcmplx_0(A, 1)), E)), k3_xcmplx_0(D, k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(G, B), k2_xcmplx_0(A, 1)), E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_numbers, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => r2_relset_1(k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(B, A), 1), k5_diff_1(B, A))) ) ) ) ).
fof(t17_diff_3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(E, C), B), C), A), D)=k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(E, C), k2_xcmplx_0(B, A)), D)) ) ) ) ) ) ) ) ) ) ).
fof(t18_diff_3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(D, B), A), C)=k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(D, B), A), k2_xcmplx_0(C, k3_xcmplx_0(k7_xcmplx_0(A, 2), B))) => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(D, B), A), C)=k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(D, B), A), k6_xcmplx_0(C, k3_xcmplx_0(k7_xcmplx_0(A, 2), B)))) ) ) ) ) ) ) ) ) ).
fof(t19_diff_3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(D, B), A), C)=k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(D, B), A), k2_xcmplx_0(k2_xcmplx_0(C, k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(A, 1), 2), B)), k7_xcmplx_0(B, 2))) => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(D, B), A), C)=k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(D, B), A), k6_xcmplx_0(k6_xcmplx_0(C, k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(A, 1), 2), B)), k7_xcmplx_0(B, 2)))) ) ) ) ) ) ) ) ) ).
fof(t20_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k9_diff_1(C, B, k2_xcmplx_0(B, A))=k7_xcmplx_0(k1_funct_1(k3_diff_1(C, A), B), A)) ) ) ) ) ) ).
fof(t21_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k9_diff_1(C, k6_xcmplx_0(B, A), B)=k7_xcmplx_0(k1_funct_1(k4_diff_1(C, A), B), A)) ) ) ) ) ) ).
fof(t22_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k9_diff_1(C, k6_xcmplx_0(B, k7_xcmplx_0(A, 2)), k2_xcmplx_0(B, k7_xcmplx_0(A, 2)))=k7_xcmplx_0(k1_funct_1(k5_diff_1(C, A), B), A)) ) ) ) ) ) ).
fof(t23_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k9_diff_1(C, k6_xcmplx_0(B, k7_xcmplx_0(A, 2)), k2_xcmplx_0(B, k7_xcmplx_0(A, 2)))=k7_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(C, A), 1), B), A)) ) ) ) ) ) ).
fof(t24_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( ~ (A=k5_numbers)  => k10_diff_1(C, k6_xcmplx_0(B, A), B, k2_xcmplx_0(B, A))=k7_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(C, A), 2), B), k3_xcmplx_0(k3_xcmplx_0(2, A), A))) ) ) ) ) ) ) ).
fof(t25_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k9_diff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), A, B)=k6_xcmplx_0(k9_diff_1(C, A, B), k9_diff_1(D, A, B))) ) ) ) ) ) ) ) ).
fof(t26_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k9_diff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, D, A), E), B, C)=k2_xcmplx_0(k3_xcmplx_0(A, k9_diff_1(D, B, C)), k9_diff_1(E, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t27_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k9_diff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, D, A), E), B, C)=k6_xcmplx_0(k3_xcmplx_0(A, k9_diff_1(D, B, C)), k9_diff_1(E, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t28_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k9_diff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, D, k26_valued_1(k1_numbers, k1_numbers, E, A)), B, C)=k2_xcmplx_0(k9_diff_1(D, B, C), k3_xcmplx_0(A, k9_diff_1(E, B, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t29_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k9_diff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, D, k26_valued_1(k1_numbers, k1_numbers, E, A)), B, C)=k6_xcmplx_0(k9_diff_1(D, B, C), k3_xcmplx_0(A, k9_diff_1(E, B, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t30_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k1_numbers, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k9_diff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, E, A), k26_valued_1(k1_numbers, k1_numbers, F, B)), C, D)=k6_xcmplx_0(k3_xcmplx_0(A, k9_diff_1(E, C, D)), k3_xcmplx_0(B, k9_diff_1(F, C, D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), A), 1), B)=k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(C, B), k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(D, A), 1), B)), k3_xcmplx_0(k1_funct_1(D, k6_xcmplx_0(B, A)), k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(C, A), 1), B)))) ) ) ) ) ) ) ) ).
fof(t32_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (r1_zfmisc_1(A, B, C) => k10_diff_1(D, A, B, C)=k10_diff_1(D, A, C, B)) ) ) ) ) ) ) ) ) ).
fof(t33_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k4_partfun1(k1_numbers, k1_numbers)) &  (v1_diff_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(k1_numbers, k1_numbers))))) ) )  =>  ( (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  (r1_xxreal_0(G, F) => k1_funct_1(k12_diff_1(E, F), G)=k3_xcmplx_0(k3_xcmplx_0(k4_newton(G, F), k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(C, A), G), B)), k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(D, A), k7_nat_d(F, G)), k6_xcmplx_0(B, k3_xcmplx_0(G, A))))) ) ) ) )  =>  (k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), A), 1), B)=k6_series_1(k12_diff_1(E, 1), 1) & k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), A), 2), B)=k6_series_1(k12_diff_1(E, 2), 2)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), A), 1), B)=k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(C, k2_xcmplx_0(B, k7_xcmplx_0(A, 2))), k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(D, A), 1), B)), k3_xcmplx_0(k1_funct_1(D, k6_xcmplx_0(B, k7_xcmplx_0(A, 2))), k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(C, A), 1), B)))) ) ) ) ) ) ) ) ).
fof(t35_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k4_partfun1(k1_numbers, k1_numbers)) &  (v1_diff_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(k1_numbers, k1_numbers))))) ) )  =>  ( (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  (r1_xxreal_0(G, F) => k1_funct_1(k12_diff_1(E, F), G)=k3_xcmplx_0(k3_xcmplx_0(k4_newton(G, F), k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(C, A), G), k2_xcmplx_0(B, k3_xcmplx_0(k7_nat_d(F, G), k7_xcmplx_0(A, 2))))), k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(D, A), k7_nat_d(F, G)), k6_xcmplx_0(B, k3_xcmplx_0(G, k7_xcmplx_0(A, 2)))))) ) ) ) )  =>  (k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), A), 1), B)=k6_series_1(k12_diff_1(E, 1), 1) & k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), A), 2), B)=k6_series_1(k12_diff_1(E, 2), 2)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k3_square_1(D)) )  =>  (A=B |  (r1_xxreal_0(A, k5_numbers) |  (r1_xxreal_0(B, k5_numbers) | k9_diff_1(C, A, B)=k7_xcmplx_0(1, k2_xcmplx_0(k3_square_1(A), k3_square_1(B)))) ) ) ) ) ) ) ) ) ) ).
fof(t37_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( ( (! [E] :  (v1_xreal_0(E) => k1_funct_1(D, E)=k3_square_1(E)) )  & r1_zfmisc_1(A, B, C))  =>  (r1_xxreal_0(A, k5_numbers) |  (r1_xxreal_0(B, k5_numbers) |  (r1_xxreal_0(C, k5_numbers) | k10_diff_1(D, A, B, C)=k4_xcmplx_0(k7_xcmplx_0(1, k3_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(k3_square_1(A), k3_square_1(B)), k2_xcmplx_0(k3_square_1(A), k3_square_1(C))), k2_xcmplx_0(k3_square_1(B), k3_square_1(C)))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( ( (! [F] :  (v1_xreal_0(F) => k1_funct_1(E, F)=k3_square_1(F)) )  & r2_zfmisc_1(A, B, C, D))  =>  (r1_xxreal_0(A, k5_numbers) |  (r1_xxreal_0(B, k5_numbers) |  (r1_xxreal_0(C, k5_numbers) |  (r1_xxreal_0(D, k5_numbers) | k11_diff_1(E, A, B, C, D)=k7_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_square_1(A), k3_square_1(B)), k3_square_1(C)), k3_square_1(D)), k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(k3_square_1(A), k3_square_1(B)), k2_xcmplx_0(k3_square_1(A), k3_square_1(C))), k2_xcmplx_0(k3_square_1(A), k3_square_1(D))), k2_xcmplx_0(k3_square_1(B), k3_square_1(C))), k2_xcmplx_0(k3_square_1(B), k3_square_1(D))), k2_xcmplx_0(k3_square_1(C), k3_square_1(D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k3_square_1(D)) )  =>  (r1_xxreal_0(B, k5_numbers) |  (r1_xxreal_0(k2_xcmplx_0(B, A), k5_numbers) | k1_funct_1(k3_diff_1(C, A), B)=k6_xcmplx_0(k3_square_1(k2_xcmplx_0(B, A)), k3_square_1(B))) ) ) ) ) ) ) ) ) ).
fof(t40_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k3_square_1(D)) )  =>  (r1_xxreal_0(B, k5_numbers) |  (r1_xxreal_0(k6_xcmplx_0(B, A), k5_numbers) | k1_funct_1(k4_diff_1(C, A), B)=k6_xcmplx_0(k3_square_1(B), k3_square_1(k6_xcmplx_0(B, A)))) ) ) ) ) ) ) ) ) ).
fof(t41_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k3_square_1(D)) )  =>  (r1_xxreal_0(k2_xcmplx_0(B, k7_xcmplx_0(A, 2)), k5_numbers) |  (r1_xxreal_0(k6_xcmplx_0(B, k7_xcmplx_0(A, 2)), k5_numbers) | k1_funct_1(k5_diff_1(C, A), B)=k6_xcmplx_0(k3_square_1(k2_xcmplx_0(B, k7_xcmplx_0(A, 2))), k3_square_1(k6_xcmplx_0(B, k7_xcmplx_0(A, 2))))) ) ) ) ) ) ) ) ) ).
fof(t42_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k1_square_1(D)) )  =>  (A=B | k9_diff_1(C, A, B)=k2_xcmplx_0(A, B)) ) ) ) ) ) ) ) ).
fof(t43_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( ( (! [E] :  (v1_xreal_0(E) => k1_funct_1(D, E)=k1_square_1(E)) )  & r1_zfmisc_1(A, B, C))  => k10_diff_1(D, A, B, C)=1) ) ) ) ) ) ) ) ) ).
fof(t44_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( ( (! [F] :  (v1_xreal_0(F) => k1_funct_1(E, F)=k1_square_1(F)) )  & r2_zfmisc_1(A, B, C, D))  => k11_diff_1(E, A, B, C, D)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k1_square_1(D)) )  => k1_funct_1(k3_diff_1(C, A), B)=k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, B), A), k1_square_1(A))) ) ) ) ) ) ) ).
fof(t46_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k1_square_1(D)) )  => k1_funct_1(k4_diff_1(C, A), B)=k3_xcmplx_0(A, k6_xcmplx_0(k3_xcmplx_0(2, B), A))) ) ) ) ) ) ) ).
fof(t47_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k1_square_1(D)) )  => k1_funct_1(k5_diff_1(C, A), B)=k3_xcmplx_0(k3_xcmplx_0(2, A), B)) ) ) ) ) ) ) ).
fof(t48_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [E] :  (v1_xreal_0(E) => k1_funct_1(D, E)=k7_xcmplx_0(A, k1_square_1(E))) )  =>  (B=C |  (B=k5_numbers |  (C=k5_numbers | k9_diff_1(D, B, C)=k4_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(A, k3_xcmplx_0(B, C)), k2_xcmplx_0(k7_xcmplx_0(1, B), k7_xcmplx_0(1, C))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( ( (! [F] :  (v1_xreal_0(F) => k1_funct_1(E, F)=k7_xcmplx_0(A, k1_square_1(F))) )  & r1_zfmisc_1(B, C, D))  =>  (B=k5_numbers |  (C=k5_numbers |  (D=k5_numbers | k10_diff_1(E, B, C, D)=k3_xcmplx_0(k7_xcmplx_0(A, k3_xcmplx_0(k3_xcmplx_0(B, C), D)), k2_xcmplx_0(k2_xcmplx_0(k7_xcmplx_0(1, B), k7_xcmplx_0(1, C)), k7_xcmplx_0(1, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [E] :  (v1_xreal_0(E) => k1_funct_1(D, E)=k7_xcmplx_0(B, k1_square_1(E))) )  =>  (C=k5_numbers |  (k2_xcmplx_0(C, A)=k5_numbers | k1_funct_1(k3_diff_1(D, A), C)=k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(B), A), k2_xcmplx_0(k3_xcmplx_0(2, C), A)), k1_square_1(k2_xcmplx_0(k1_square_1(C), k3_xcmplx_0(A, C))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [E] :  (v1_xreal_0(E) => k1_funct_1(D, E)=k7_xcmplx_0(B, k1_square_1(E))) )  =>  (C=k5_numbers |  (k6_xcmplx_0(C, A)=k5_numbers | k1_funct_1(k4_diff_1(D, A), C)=k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(B), A), k6_xcmplx_0(k3_xcmplx_0(2, C), A)), k1_square_1(k6_xcmplx_0(k1_square_1(C), k3_xcmplx_0(C, A))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [E] :  (v1_xreal_0(E) => k1_funct_1(D, E)=k7_xcmplx_0(B, k1_square_1(E))) )  =>  (k2_xcmplx_0(C, k7_xcmplx_0(A, 2))=k5_numbers |  (k6_xcmplx_0(C, k7_xcmplx_0(A, 2))=k5_numbers | k1_funct_1(k5_diff_1(D, A), C)=k7_xcmplx_0(k4_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, A), B), C)), k1_square_1(k6_xcmplx_0(k1_square_1(C), k1_square_1(k7_xcmplx_0(A, 2)))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k9_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k16_sin_cos), k16_sin_cos), A, B)=k7_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1, 2), k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, k19_sin_cos(k7_xcmplx_0(k2_xcmplx_0(A, B), 2))), k17_sin_cos(k7_xcmplx_0(k6_xcmplx_0(A, B), 2))), k3_xcmplx_0(k19_sin_cos(k7_xcmplx_0(k3_xcmplx_0(3, k2_xcmplx_0(A, B)), 2)), k17_sin_cos(k7_xcmplx_0(k3_xcmplx_0(3, k6_xcmplx_0(A, B)), 2))))), k6_xcmplx_0(A, B))) ) ) ) ).
fof(t54_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k3_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k16_sin_cos), k16_sin_cos), A), B)=k3_xcmplx_0(k7_xcmplx_0(1, 2), k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, k19_sin_cos(k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2, B), A), 2))), k17_sin_cos(k7_xcmplx_0(A, 2))), k3_xcmplx_0(k19_sin_cos(k7_xcmplx_0(k3_xcmplx_0(3, k2_xcmplx_0(k3_xcmplx_0(2, B), A)), 2)), k17_sin_cos(k7_xcmplx_0(k3_xcmplx_0(3, A), 2)))))) ) ) ) ).
fof(t55_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k4_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k16_sin_cos), k16_sin_cos), A), B)=k3_xcmplx_0(k7_xcmplx_0(1, 2), k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, k19_sin_cos(k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(2, B), A), 2))), k17_sin_cos(k7_xcmplx_0(A, 2))), k3_xcmplx_0(k19_sin_cos(k7_xcmplx_0(k3_xcmplx_0(3, k6_xcmplx_0(k3_xcmplx_0(2, B), A)), 2)), k17_sin_cos(k7_xcmplx_0(k3_xcmplx_0(3, A), 2)))))) ) ) ) ).
fof(t56_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k5_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k16_sin_cos), k16_sin_cos), A), B)=k3_xcmplx_0(k7_xcmplx_0(1, 2), k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, k19_sin_cos(B)), k17_sin_cos(k7_xcmplx_0(A, 2))), k3_xcmplx_0(k19_sin_cos(k3_xcmplx_0(3, B)), k17_sin_cos(k7_xcmplx_0(k3_xcmplx_0(3, A), 2)))))) ) ) ) ).
fof(t57_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k9_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k18_sin_cos), k18_sin_cos), A, B)=k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1, 2), k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, k17_sin_cos(k7_xcmplx_0(k2_xcmplx_0(A, B), 2))), k17_sin_cos(k7_xcmplx_0(k6_xcmplx_0(A, B), 2))), k3_xcmplx_0(k17_sin_cos(k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(3, A), k3_xcmplx_0(3, B)), 2)), k17_sin_cos(k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(3, A), k3_xcmplx_0(3, B)), 2))))), k6_xcmplx_0(A, B)))) ) ) ) ).
fof(t58_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k3_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k18_sin_cos), k18_sin_cos), A), B)=k4_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1, 2), k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, k17_sin_cos(k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2, B), A), 2))), k17_sin_cos(k7_xcmplx_0(A, 2))), k3_xcmplx_0(k17_sin_cos(k7_xcmplx_0(k3_xcmplx_0(3, k2_xcmplx_0(k3_xcmplx_0(2, B), A)), 2)), k17_sin_cos(k7_xcmplx_0(k3_xcmplx_0(3, A), 2))))))) ) ) ) ).
fof(t59_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k4_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k18_sin_cos), k18_sin_cos), A), B)=k4_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1, 2), k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, k17_sin_cos(k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(2, B), A), 2))), k17_sin_cos(k7_xcmplx_0(A, 2))), k3_xcmplx_0(k17_sin_cos(k7_xcmplx_0(k3_xcmplx_0(3, k6_xcmplx_0(k3_xcmplx_0(2, B), A)), 2)), k17_sin_cos(k7_xcmplx_0(k3_xcmplx_0(3, A), 2))))))) ) ) ) ).
fof(t60_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k5_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k18_sin_cos), k18_sin_cos), A), B)=k4_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1, 2), k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, k17_sin_cos(B)), k17_sin_cos(k7_xcmplx_0(A, 2))), k3_xcmplx_0(k17_sin_cos(k3_xcmplx_0(3, B)), k17_sin_cos(k7_xcmplx_0(k3_xcmplx_0(3, A), 2))))))) ) ) ) ).
fof(t61_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k7_xcmplx_0(1, k17_sin_cos(D))) )  =>  (k17_sin_cos(A)=k5_numbers |  (k17_sin_cos(B)=k5_numbers | k9_diff_1(C, A, B)=k4_xcmplx_0(k7_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(2, k6_xcmplx_0(k17_sin_cos(B), k17_sin_cos(A))), k6_xcmplx_0(k19_sin_cos(k2_xcmplx_0(A, B)), k19_sin_cos(k6_xcmplx_0(A, B)))), k6_xcmplx_0(A, B)))) ) ) ) ) ) ) ) ) ).
fof(t62_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k7_xcmplx_0(1, k17_sin_cos(D))) )  =>  (k17_sin_cos(B)=k5_numbers |  (k17_sin_cos(k2_xcmplx_0(B, A))=k5_numbers | k1_funct_1(k3_diff_1(C, A), B)=k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(2, k6_xcmplx_0(k17_sin_cos(B), k17_sin_cos(k2_xcmplx_0(B, A)))), k6_xcmplx_0(k19_sin_cos(k2_xcmplx_0(k3_xcmplx_0(2, B), A)), k19_sin_cos(A))))) ) ) ) ) ) ) ) ) ).
fof(t63_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k7_xcmplx_0(1, k17_sin_cos(D))) )  =>  (k17_sin_cos(B)=k5_numbers |  (k17_sin_cos(k6_xcmplx_0(B, A))=k5_numbers | k1_funct_1(k4_diff_1(C, A), B)=k7_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k6_xcmplx_0(k17_sin_cos(k6_xcmplx_0(B, A)), k17_sin_cos(B))), k6_xcmplx_0(k19_sin_cos(k6_xcmplx_0(k3_xcmplx_0(2, B), A)), k19_sin_cos(A)))) ) ) ) ) ) ) ) ) ).
fof(t64_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k7_xcmplx_0(1, k17_sin_cos(D))) )  =>  (k17_sin_cos(k2_xcmplx_0(B, k7_xcmplx_0(A, 2)))=k5_numbers |  (k17_sin_cos(k6_xcmplx_0(B, k7_xcmplx_0(A, 2)))=k5_numbers | k1_funct_1(k5_diff_1(C, A), B)=k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(2, k6_xcmplx_0(k17_sin_cos(k6_xcmplx_0(B, k7_xcmplx_0(A, 2))), k17_sin_cos(k2_xcmplx_0(B, k7_xcmplx_0(A, 2))))), k6_xcmplx_0(k19_sin_cos(k3_xcmplx_0(2, B)), k19_sin_cos(A))))) ) ) ) ) ) ) ) ) ).
fof(t65_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k7_xcmplx_0(1, k19_sin_cos(D))) )  =>  (A=B |  (k19_sin_cos(A)=k5_numbers |  (k19_sin_cos(B)=k5_numbers | k9_diff_1(C, A, B)=k7_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(2, k6_xcmplx_0(k19_sin_cos(B), k19_sin_cos(A))), k2_xcmplx_0(k19_sin_cos(k2_xcmplx_0(A, B)), k19_sin_cos(k6_xcmplx_0(A, B)))), k6_xcmplx_0(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(t66_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k7_xcmplx_0(1, k19_sin_cos(D))) )  =>  (k19_sin_cos(B)=k5_numbers |  (k19_sin_cos(k2_xcmplx_0(B, A))=k5_numbers | k1_funct_1(k3_diff_1(C, A), B)=k7_xcmplx_0(k3_xcmplx_0(2, k6_xcmplx_0(k19_sin_cos(B), k19_sin_cos(k2_xcmplx_0(B, A)))), k2_xcmplx_0(k19_sin_cos(k2_xcmplx_0(k3_xcmplx_0(2, B), A)), k19_sin_cos(A)))) ) ) ) ) ) ) ) ) ).
fof(t67_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k7_xcmplx_0(1, k19_sin_cos(D))) )  =>  (k19_sin_cos(B)=k5_numbers |  (k19_sin_cos(k6_xcmplx_0(B, A))=k5_numbers | k1_funct_1(k4_diff_1(C, A), B)=k7_xcmplx_0(k3_xcmplx_0(2, k6_xcmplx_0(k19_sin_cos(k6_xcmplx_0(B, A)), k19_sin_cos(B))), k2_xcmplx_0(k19_sin_cos(k6_xcmplx_0(k3_xcmplx_0(2, B), A)), k19_sin_cos(A)))) ) ) ) ) ) ) ) ) ).
fof(t68_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k7_xcmplx_0(1, k19_sin_cos(D))) )  =>  (k19_sin_cos(k2_xcmplx_0(B, k7_xcmplx_0(A, 2)))=k5_numbers |  (k19_sin_cos(k6_xcmplx_0(B, k7_xcmplx_0(A, 2)))=k5_numbers | k1_funct_1(k5_diff_1(C, A), B)=k7_xcmplx_0(k3_xcmplx_0(2, k6_xcmplx_0(k19_sin_cos(k6_xcmplx_0(B, k7_xcmplx_0(A, 2))), k19_sin_cos(k2_xcmplx_0(B, k7_xcmplx_0(A, 2))))), k2_xcmplx_0(k19_sin_cos(k3_xcmplx_0(2, B)), k19_sin_cos(A)))) ) ) ) ) ) ) ) ) ).
fof(t69_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k7_xcmplx_0(1, k1_square_1(k17_sin_cos(D)))) )  =>  (A=B |  (k17_sin_cos(A)=k5_numbers |  (k17_sin_cos(B)=k5_numbers | k9_diff_1(C, A, B)=k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(16, k19_sin_cos(k7_xcmplx_0(k2_xcmplx_0(B, A), 2))), k17_sin_cos(k7_xcmplx_0(k6_xcmplx_0(B, A), 2))), k19_sin_cos(k7_xcmplx_0(k6_xcmplx_0(B, A), 2))), k17_sin_cos(k7_xcmplx_0(k2_xcmplx_0(B, A), 2))), k3_xcmplx_0(k1_square_1(k6_xcmplx_0(k19_sin_cos(k2_xcmplx_0(A, B)), k19_sin_cos(k6_xcmplx_0(A, B)))), k6_xcmplx_0(A, B)))) ) ) ) ) ) ) ) ) ) ).
fof(t70_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k7_xcmplx_0(1, k1_square_1(k17_sin_cos(D)))) )  =>  (k17_sin_cos(B)=k5_numbers |  (k17_sin_cos(k2_xcmplx_0(B, A))=k5_numbers | k1_funct_1(k3_diff_1(C, A), B)=k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(16, k19_sin_cos(k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2, B), A), 2))), k17_sin_cos(k7_xcmplx_0(k4_xcmplx_0(A), 2))), k19_sin_cos(k7_xcmplx_0(k4_xcmplx_0(A), 2))), k17_sin_cos(k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2, B), A), 2))), k1_square_1(k6_xcmplx_0(k19_sin_cos(k2_xcmplx_0(k3_xcmplx_0(2, B), A)), k19_sin_cos(A))))) ) ) ) ) ) ) ) ) ).
fof(t71_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k7_xcmplx_0(1, k1_square_1(k17_sin_cos(D)))) )  =>  (k17_sin_cos(B)=k5_numbers |  (k17_sin_cos(k6_xcmplx_0(B, A))=k5_numbers | k1_funct_1(k4_diff_1(C, A), B)=k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(16, k19_sin_cos(k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(2, B), A), 2))), k17_sin_cos(k7_xcmplx_0(k4_xcmplx_0(A), 2))), k19_sin_cos(k7_xcmplx_0(k4_xcmplx_0(A), 2))), k17_sin_cos(k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(2, B), A), 2))), k1_square_1(k6_xcmplx_0(k19_sin_cos(k6_xcmplx_0(k3_xcmplx_0(2, B), A)), k19_sin_cos(A))))) ) ) ) ) ) ) ) ) ).
fof(t72_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k7_xcmplx_0(1, k1_square_1(k17_sin_cos(D)))) )  =>  (k17_sin_cos(k2_xcmplx_0(B, k7_xcmplx_0(A, 2)))=k5_numbers |  (k17_sin_cos(k6_xcmplx_0(B, k7_xcmplx_0(A, 2)))=k5_numbers | k1_funct_1(k5_diff_1(C, A), B)=k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(16, k19_sin_cos(B)), k17_sin_cos(k7_xcmplx_0(k4_xcmplx_0(A), 2))), k19_sin_cos(k7_xcmplx_0(k4_xcmplx_0(A), 2))), k17_sin_cos(B)), k1_square_1(k6_xcmplx_0(k19_sin_cos(k3_xcmplx_0(2, B)), k19_sin_cos(A))))) ) ) ) ) ) ) ) ) ).
fof(t73_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k7_xcmplx_0(1, k1_square_1(k19_sin_cos(D)))) )  =>  (A=B |  (k19_sin_cos(A)=k5_numbers |  (k19_sin_cos(B)=k5_numbers | k9_diff_1(C, A, B)=k7_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(16), k17_sin_cos(k7_xcmplx_0(k2_xcmplx_0(B, A), 2))), k17_sin_cos(k7_xcmplx_0(k6_xcmplx_0(B, A), 2))), k19_sin_cos(k7_xcmplx_0(k2_xcmplx_0(B, A), 2))), k19_sin_cos(k7_xcmplx_0(k6_xcmplx_0(B, A), 2))), k1_square_1(k2_xcmplx_0(k19_sin_cos(k2_xcmplx_0(A, B)), k19_sin_cos(k6_xcmplx_0(A, B))))), k6_xcmplx_0(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(t74_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k7_xcmplx_0(1, k1_square_1(k19_sin_cos(D)))) )  =>  (k19_sin_cos(B)=k5_numbers |  (k19_sin_cos(k2_xcmplx_0(B, A))=k5_numbers | k1_funct_1(k3_diff_1(C, A), B)=k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(16), k17_sin_cos(k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2, B), A), 2))), k17_sin_cos(k7_xcmplx_0(k4_xcmplx_0(A), 2))), k19_sin_cos(k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2, B), A), 2))), k19_sin_cos(k7_xcmplx_0(k4_xcmplx_0(A), 2))), k1_square_1(k2_xcmplx_0(k19_sin_cos(k2_xcmplx_0(k3_xcmplx_0(2, B), A)), k19_sin_cos(A))))) ) ) ) ) ) ) ) ) ).
fof(t75_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k7_xcmplx_0(1, k1_square_1(k19_sin_cos(D)))) )  =>  (k19_sin_cos(B)=k5_numbers |  (k19_sin_cos(k6_xcmplx_0(B, A))=k5_numbers | k1_funct_1(k4_diff_1(C, A), B)=k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(16), k17_sin_cos(k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(2, B), A), 2))), k17_sin_cos(k7_xcmplx_0(k4_xcmplx_0(A), 2))), k19_sin_cos(k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(2, B), A), 2))), k19_sin_cos(k7_xcmplx_0(k4_xcmplx_0(A), 2))), k1_square_1(k2_xcmplx_0(k19_sin_cos(k6_xcmplx_0(k3_xcmplx_0(2, B), A)), k19_sin_cos(A))))) ) ) ) ) ) ) ) ) ).
fof(t76_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k7_xcmplx_0(1, k1_square_1(k19_sin_cos(D)))) )  =>  (k19_sin_cos(k2_xcmplx_0(B, k7_xcmplx_0(A, 2)))=k5_numbers |  (k19_sin_cos(k6_xcmplx_0(B, k7_xcmplx_0(A, 2)))=k5_numbers | k1_funct_1(k5_diff_1(C, A), B)=k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(16), k17_sin_cos(B)), k17_sin_cos(k7_xcmplx_0(k4_xcmplx_0(A), 2))), k19_sin_cos(B)), k19_sin_cos(k7_xcmplx_0(k4_xcmplx_0(A), 2))), k1_square_1(k2_xcmplx_0(k19_sin_cos(k3_xcmplx_0(2, B)), k19_sin_cos(A))))) ) ) ) ) ) ) ) ) ).
fof(t77_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_hidden(A, k1_relset_1(k1_numbers, k26_sin_cos)) & r2_hidden(B, k1_relset_1(k1_numbers, k26_sin_cos)))  => k9_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k16_sin_cos), A, B)=k7_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(1, k19_sin_cos(A)), k19_sin_cos(A)), k7_xcmplx_0(1, k19_sin_cos(B))), k19_sin_cos(B)), k6_xcmplx_0(A, B))) ) ) ) ) ).
fof(t78_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k16_sin_cos), D)) )  &  (r2_hidden(B, k1_relset_1(k1_numbers, k26_sin_cos)) & r2_hidden(k2_xcmplx_0(B, A), k1_relset_1(k1_numbers, k26_sin_cos))) )  => k1_funct_1(k3_diff_1(C, A), B)=k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(1, k19_sin_cos(k2_xcmplx_0(B, A))), k19_sin_cos(k2_xcmplx_0(B, A))), k7_xcmplx_0(1, k19_sin_cos(B))), k19_sin_cos(B))) ) ) ) ) ) ) ).
fof(t79_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k16_sin_cos), D)) )  &  (r2_hidden(B, k1_relset_1(k1_numbers, k26_sin_cos)) & r2_hidden(k6_xcmplx_0(B, A), k1_relset_1(k1_numbers, k26_sin_cos))) )  => k1_funct_1(k4_diff_1(C, A), B)=k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(1, k19_sin_cos(B)), k19_sin_cos(B)), k7_xcmplx_0(1, k19_sin_cos(k6_xcmplx_0(B, A)))), k19_sin_cos(k6_xcmplx_0(B, A)))) ) ) ) ) ) ) ).
fof(t80_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k16_sin_cos), D)) )  &  (r2_hidden(k2_xcmplx_0(B, k7_xcmplx_0(A, 2)), k1_relset_1(k1_numbers, k26_sin_cos)) & r2_hidden(k6_xcmplx_0(B, k7_xcmplx_0(A, 2)), k1_relset_1(k1_numbers, k26_sin_cos))) )  => k1_funct_1(k5_diff_1(C, A), B)=k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(1, k19_sin_cos(k2_xcmplx_0(B, k7_xcmplx_0(A, 2)))), k19_sin_cos(k2_xcmplx_0(B, k7_xcmplx_0(A, 2)))), k7_xcmplx_0(1, k19_sin_cos(k6_xcmplx_0(B, k7_xcmplx_0(A, 2))))), k19_sin_cos(k6_xcmplx_0(B, k7_xcmplx_0(A, 2))))) ) ) ) ) ) ) ).
fof(t81_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k18_sin_cos), D)) )  &  (r2_hidden(A, k1_relset_1(k1_numbers, k26_sin_cos)) & r2_hidden(B, k1_relset_1(k1_numbers, k26_sin_cos))) )  => k9_diff_1(C, A, B)=k7_xcmplx_0(k6_xcmplx_0(k17_sin_cos(A), k17_sin_cos(B)), k6_xcmplx_0(A, B))) ) ) ) ) ) ) ).
fof(t82_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k18_sin_cos), D)) )  &  (r2_hidden(B, k1_relset_1(k1_numbers, k26_sin_cos)) & r2_hidden(k2_xcmplx_0(B, A), k1_relset_1(k1_numbers, k26_sin_cos))) )  => k1_funct_1(k3_diff_1(C, A), B)=k6_xcmplx_0(k17_sin_cos(k2_xcmplx_0(B, A)), k17_sin_cos(B))) ) ) ) ) ) ) ).
fof(t83_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k18_sin_cos), D)) )  &  (r2_hidden(B, k1_relset_1(k1_numbers, k26_sin_cos)) & r2_hidden(k6_xcmplx_0(B, A), k1_relset_1(k1_numbers, k26_sin_cos))) )  => k1_funct_1(k4_diff_1(C, A), B)=k6_xcmplx_0(k17_sin_cos(B), k17_sin_cos(k6_xcmplx_0(B, A)))) ) ) ) ) ) ) ).
fof(t84_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k18_sin_cos), D)) )  &  (r2_hidden(k2_xcmplx_0(B, k7_xcmplx_0(A, 2)), k1_relset_1(k1_numbers, k26_sin_cos)) & r2_hidden(k6_xcmplx_0(B, k7_xcmplx_0(A, 2)), k1_relset_1(k1_numbers, k26_sin_cos))) )  => k1_funct_1(k5_diff_1(C, A), B)=k6_xcmplx_0(k17_sin_cos(k2_xcmplx_0(B, k7_xcmplx_0(A, 2))), k17_sin_cos(k6_xcmplx_0(B, k7_xcmplx_0(A, 2))))) ) ) ) ) ) ) ).
fof(t85_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k18_sin_cos), D)) )  &  (r2_hidden(A, k1_relset_1(k1_numbers, k27_sin_cos)) & r2_hidden(B, k1_relset_1(k1_numbers, k27_sin_cos))) )  => k9_diff_1(C, A, B)=k7_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(1, k17_sin_cos(A)), k17_sin_cos(A)), k7_xcmplx_0(1, k17_sin_cos(B))), k17_sin_cos(B)), k6_xcmplx_0(A, B))) ) ) ) ) ) ) ).
fof(t86_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k18_sin_cos), D)) )  &  (r2_hidden(B, k1_relset_1(k1_numbers, k27_sin_cos)) & r2_hidden(k2_xcmplx_0(B, A), k1_relset_1(k1_numbers, k27_sin_cos))) )  => k1_funct_1(k3_diff_1(C, A), B)=k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(1, k17_sin_cos(k2_xcmplx_0(B, A))), k17_sin_cos(k2_xcmplx_0(B, A))), k7_xcmplx_0(1, k17_sin_cos(B))), k17_sin_cos(B))) ) ) ) ) ) ) ).
fof(t87_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k18_sin_cos), D)) )  &  (r2_hidden(B, k1_relset_1(k1_numbers, k27_sin_cos)) & r2_hidden(k6_xcmplx_0(B, A), k1_relset_1(k1_numbers, k27_sin_cos))) )  => k1_funct_1(k4_diff_1(C, A), B)=k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(1, k17_sin_cos(B)), k17_sin_cos(B)), k7_xcmplx_0(1, k17_sin_cos(k6_xcmplx_0(B, A)))), k17_sin_cos(k6_xcmplx_0(B, A)))) ) ) ) ) ) ) ).
fof(t88_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k18_sin_cos), D)) )  &  (r2_hidden(k2_xcmplx_0(B, k7_xcmplx_0(A, 2)), k1_relset_1(k1_numbers, k27_sin_cos)) & r2_hidden(k6_xcmplx_0(B, k7_xcmplx_0(A, 2)), k1_relset_1(k1_numbers, k27_sin_cos))) )  => k1_funct_1(k5_diff_1(C, A), B)=k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(1, k17_sin_cos(k2_xcmplx_0(B, k7_xcmplx_0(A, 2)))), k17_sin_cos(k2_xcmplx_0(B, k7_xcmplx_0(A, 2)))), k7_xcmplx_0(1, k17_sin_cos(k6_xcmplx_0(B, k7_xcmplx_0(A, 2))))), k17_sin_cos(k6_xcmplx_0(B, k7_xcmplx_0(A, 2))))) ) ) ) ) ) ) ).
fof(t89_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k16_sin_cos), D)) )  &  (r2_hidden(A, k1_relset_1(k1_numbers, k27_sin_cos)) & r2_hidden(B, k1_relset_1(k1_numbers, k27_sin_cos))) )  => k9_diff_1(C, A, B)=k7_xcmplx_0(k6_xcmplx_0(k19_sin_cos(A), k19_sin_cos(B)), k6_xcmplx_0(A, B))) ) ) ) ) ) ) ).
fof(t90_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k16_sin_cos), D)) )  &  (r2_hidden(B, k1_relset_1(k1_numbers, k27_sin_cos)) & r2_hidden(k2_xcmplx_0(B, A), k1_relset_1(k1_numbers, k27_sin_cos))) )  => k1_funct_1(k3_diff_1(C, A), B)=k6_xcmplx_0(k19_sin_cos(k2_xcmplx_0(B, A)), k19_sin_cos(B))) ) ) ) ) ) ) ).
fof(t91_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k16_sin_cos), D)) )  &  (r2_hidden(B, k1_relset_1(k1_numbers, k27_sin_cos)) & r2_hidden(k6_xcmplx_0(B, A), k1_relset_1(k1_numbers, k27_sin_cos))) )  => k1_funct_1(k4_diff_1(C, A), B)=k6_xcmplx_0(k19_sin_cos(B), k19_sin_cos(k6_xcmplx_0(B, A)))) ) ) ) ) ) ) ).
fof(t92_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k16_sin_cos), D)) )  &  (r2_hidden(k2_xcmplx_0(B, k7_xcmplx_0(A, 2)), k1_relset_1(k1_numbers, k27_sin_cos)) & r2_hidden(k6_xcmplx_0(B, k7_xcmplx_0(A, 2)), k1_relset_1(k1_numbers, k27_sin_cos))) )  => k1_funct_1(k5_diff_1(C, A), B)=k6_xcmplx_0(k19_sin_cos(k2_xcmplx_0(B, k7_xcmplx_0(A, 2))), k19_sin_cos(k6_xcmplx_0(B, k7_xcmplx_0(A, 2))))) ) ) ) ) ) ) ).
fof(t93_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k26_sin_cos), D)) )  &  (r2_hidden(A, k1_relset_1(k1_numbers, k26_sin_cos)) & r2_hidden(B, k1_relset_1(k1_numbers, k26_sin_cos))) )  => k9_diff_1(C, A, B)=k7_xcmplx_0(k6_xcmplx_0(k1_square_1(k19_sin_cos(B)), k1_square_1(k19_sin_cos(A))), k3_xcmplx_0(k1_square_1(k3_xcmplx_0(k19_sin_cos(A), k19_sin_cos(B))), k6_xcmplx_0(A, B)))) ) ) ) ) ) ) ).
fof(t94_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k26_sin_cos), D)) )  &  (r2_hidden(B, k1_relset_1(k1_numbers, k26_sin_cos)) & r2_hidden(k2_xcmplx_0(B, A), k1_relset_1(k1_numbers, k26_sin_cos))) )  => k1_funct_1(k3_diff_1(C, A), B)=k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1, 2), k6_xcmplx_0(k19_sin_cos(k3_xcmplx_0(2, k2_xcmplx_0(B, A))), k19_sin_cos(k3_xcmplx_0(2, B)))), k1_square_1(k3_xcmplx_0(k19_sin_cos(k2_xcmplx_0(B, A)), k19_sin_cos(B)))))) ) ) ) ) ) ) ).
fof(t95_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k26_sin_cos), D)) )  &  (r2_hidden(B, k1_relset_1(k1_numbers, k26_sin_cos)) & r2_hidden(k6_xcmplx_0(B, A), k1_relset_1(k1_numbers, k26_sin_cos))) )  => k1_funct_1(k4_diff_1(C, A), B)=k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1, 2), k6_xcmplx_0(k19_sin_cos(k3_xcmplx_0(2, B)), k19_sin_cos(k3_xcmplx_0(2, k6_xcmplx_0(A, B))))), k1_square_1(k3_xcmplx_0(k19_sin_cos(B), k19_sin_cos(k6_xcmplx_0(B, A))))))) ) ) ) ) ) ) ).
fof(t96_diff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k26_sin_cos), D)) )  &  (r2_hidden(k2_xcmplx_0(B, k7_xcmplx_0(A, 2)), k1_relset_1(k1_numbers, k26_sin_cos)) & r2_hidden(k6_xcmplx_0(B, k7_xcmplx_0(A, 2)), k1_relset_1(k1_numbers, k26_sin_cos))) )  => k1_funct_1(k5_diff_1(C, A), B)=k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1, 2), k6_xcmplx_0(k19_sin_cos(k2_xcmplx_0(A, k3_xcmplx_0(2, B))), k19_sin_cos(k6_xcmplx_0(A, k3_xcmplx_0(2, B))))), k1_square_1(k3_xcmplx_0(k19_sin_cos(k2_xcmplx_0(B, k7_xcmplx_0(A, 2))), k19_sin_cos(k6_xcmplx_0(B, k7_xcmplx_0(A, 2)))))))) ) ) ) ) ) ) ).
fof(t1_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  ~ (k6_xcmplx_0(k3_power(k4_power, A), k3_power(k4_power, B))=k3_power(k4_power, k7_xcmplx_0(A, B))) ) ) ) ) ) ) ) ).
fof(t2_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  ~ (k2_xcmplx_0(k3_power(k4_power, A), k3_power(k4_power, B))=k3_power(k4_power, k3_xcmplx_0(A, B))) ) ) ) ) ) ) ) ).
fof(t3_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k3_power(k4_power, A)=k1_funct_1(k3_taylor_1, A)) ) ) ).
fof(t4_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  ~ (k6_xcmplx_0(k1_funct_1(k3_taylor_1, A), k1_funct_1(k3_taylor_1, B))=k1_funct_1(k3_taylor_1, k7_xcmplx_0(A, B))) ) ) ) ) ) ) ) ).
fof(t5_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k1_numbers, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( ( (! [G] :  (v1_xreal_0(G) => k1_funct_1(F, G)=k7_xcmplx_0(A, k1_square_1(G))) )  & r2_zfmisc_1(B, C, D, E))  =>  (B=k5_numbers |  (C=k5_numbers |  (D=k5_numbers |  (E=k5_numbers | k11_diff_1(F, B, C, D, E)=k7_xcmplx_0(k3_xcmplx_0(A, k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1, k3_xcmplx_0(k3_xcmplx_0(C, D), B)), k2_xcmplx_0(k2_xcmplx_0(k7_xcmplx_0(1, B), k7_xcmplx_0(1, D)), k7_xcmplx_0(1, C))), k3_xcmplx_0(k7_xcmplx_0(1, k3_xcmplx_0(k3_xcmplx_0(D, C), E)), k2_xcmplx_0(k2_xcmplx_0(k7_xcmplx_0(1, E), k7_xcmplx_0(1, C)), k7_xcmplx_0(1, D))))), k6_xcmplx_0(B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_hidden(A, k1_relset_1(k1_numbers, k27_sin_cos)) & r2_hidden(B, k1_relset_1(k1_numbers, k27_sin_cos)))  => k9_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k27_sin_cos), A, B)=k4_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k1_square_1(k19_sin_cos(B)), k1_square_1(k19_sin_cos(A))), k3_xcmplx_0(k1_square_1(k3_xcmplx_0(k17_sin_cos(A), k17_sin_cos(B))), k6_xcmplx_0(A, B))))) ) ) ) ) ).
fof(t7_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_hidden(B, k1_relset_1(k1_numbers, k27_sin_cos)) & r2_tarski(k2_xcmplx_0(B, A), k1_relset_1(k1_numbers, k27_sin_cos)))  => k1_funct_1(k3_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k27_sin_cos), A), B)=k7_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1, 2), k6_xcmplx_0(k19_sin_cos(k3_xcmplx_0(2, k2_xcmplx_0(B, A))), k19_sin_cos(k3_xcmplx_0(2, B)))), k1_square_1(k3_xcmplx_0(k17_sin_cos(k2_xcmplx_0(B, A)), k17_sin_cos(B))))) ) ) ) ) ).
fof(t8_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_hidden(B, k1_relset_1(k1_numbers, k27_sin_cos)) & r2_tarski(k6_xcmplx_0(B, A), k1_relset_1(k1_numbers, k27_sin_cos)))  => k1_funct_1(k4_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k27_sin_cos), A), B)=k7_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1, 2), k6_xcmplx_0(k19_sin_cos(k3_xcmplx_0(2, B)), k19_sin_cos(k3_xcmplx_0(2, k6_xcmplx_0(A, B))))), k1_square_1(k3_xcmplx_0(k17_sin_cos(B), k17_sin_cos(k6_xcmplx_0(B, A)))))) ) ) ) ) ).
fof(t9_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_tarski(k2_xcmplx_0(B, k7_xcmplx_0(A, 2)), k1_relset_1(k1_numbers, k27_sin_cos)) & r2_tarski(k6_xcmplx_0(B, k7_xcmplx_0(A, 2)), k1_relset_1(k1_numbers, k27_sin_cos)))  => k1_funct_1(k5_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k27_sin_cos), A), B)=k7_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1, 2), k6_xcmplx_0(k19_sin_cos(k2_xcmplx_0(A, k3_xcmplx_0(2, B))), k19_sin_cos(k6_xcmplx_0(A, k3_xcmplx_0(2, B))))), k1_square_1(k3_xcmplx_0(k17_sin_cos(k2_xcmplx_0(B, k7_xcmplx_0(A, 2))), k17_sin_cos(k6_xcmplx_0(B, k7_xcmplx_0(A, 2))))))) ) ) ) ) ).
fof(t10_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_hidden(A, k1_relset_1(k1_numbers, k2_fdiff_9)) & r2_hidden(B, k1_relset_1(k1_numbers, k2_fdiff_9)))  => k9_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k2_fdiff_9), A, B)=k7_xcmplx_0(k3_xcmplx_0(4, k3_xcmplx_0(k17_sin_cos(k2_xcmplx_0(B, A)), k17_sin_cos(k6_xcmplx_0(B, A)))), k3_xcmplx_0(k1_square_1(k6_xcmplx_0(k19_sin_cos(k2_xcmplx_0(A, B)), k19_sin_cos(k6_xcmplx_0(A, B)))), k6_xcmplx_0(A, B)))) ) ) ) ) ).
fof(t11_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_hidden(B, k1_relset_1(k1_numbers, k2_fdiff_9)) & r2_tarski(k2_xcmplx_0(B, A), k1_relset_1(k1_numbers, k2_fdiff_9)))  => k1_funct_1(k3_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k2_fdiff_9), A), B)=k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(4, k17_sin_cos(k2_xcmplx_0(k3_xcmplx_0(2, B), A))), k17_sin_cos(A)), k1_square_1(k6_xcmplx_0(k19_sin_cos(k2_xcmplx_0(k3_xcmplx_0(2, B), A)), k19_sin_cos(A)))))) ) ) ) ) ).
fof(t12_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_hidden(B, k1_relset_1(k1_numbers, k2_fdiff_9)) & r2_tarski(k6_xcmplx_0(B, A), k1_relset_1(k1_numbers, k2_fdiff_9)))  => k1_funct_1(k4_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k2_fdiff_9), A), B)=k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(4, k17_sin_cos(k6_xcmplx_0(k3_xcmplx_0(2, B), A))), k17_sin_cos(A)), k1_square_1(k6_xcmplx_0(k19_sin_cos(k6_xcmplx_0(k3_xcmplx_0(2, B), A)), k19_sin_cos(A)))))) ) ) ) ) ).
fof(t13_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_tarski(k2_xcmplx_0(B, k7_xcmplx_0(A, 2)), k1_relset_1(k1_numbers, k2_fdiff_9)) & r2_tarski(k6_xcmplx_0(B, k7_xcmplx_0(A, 2)), k1_relset_1(k1_numbers, k2_fdiff_9)))  => k1_funct_1(k5_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k2_fdiff_9), A), B)=k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(4, k17_sin_cos(k3_xcmplx_0(2, B))), k17_sin_cos(A)), k1_square_1(k6_xcmplx_0(k19_sin_cos(k3_xcmplx_0(2, B)), k19_sin_cos(A)))))) ) ) ) ) ).
fof(t14_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_hidden(A, k1_relset_1(k1_numbers, k1_fdiff_9)) & r2_hidden(B, k1_relset_1(k1_numbers, k1_fdiff_9)))  => k9_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k1_fdiff_9), A, B)=k7_xcmplx_0(k3_xcmplx_0(4, k3_xcmplx_0(k17_sin_cos(k2_xcmplx_0(A, B)), k17_sin_cos(k6_xcmplx_0(A, B)))), k3_xcmplx_0(k1_square_1(k2_xcmplx_0(k19_sin_cos(k2_xcmplx_0(A, B)), k19_sin_cos(k6_xcmplx_0(A, B)))), k6_xcmplx_0(A, B)))) ) ) ) ) ).
fof(t15_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_hidden(B, k1_relset_1(k1_numbers, k1_fdiff_9)) & r2_tarski(k2_xcmplx_0(B, A), k1_relset_1(k1_numbers, k1_fdiff_9)))  => k1_funct_1(k3_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k1_fdiff_9), A), B)=k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(4, k17_sin_cos(k2_xcmplx_0(k3_xcmplx_0(2, B), A))), k17_sin_cos(A)), k1_square_1(k2_xcmplx_0(k19_sin_cos(k2_xcmplx_0(k3_xcmplx_0(2, B), A)), k19_sin_cos(A))))) ) ) ) ) ).
fof(t16_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_hidden(B, k1_relset_1(k1_numbers, k1_fdiff_9)) & r2_tarski(k6_xcmplx_0(B, A), k1_relset_1(k1_numbers, k1_fdiff_9)))  => k1_funct_1(k4_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k1_fdiff_9), A), B)=k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(4, k17_sin_cos(k6_xcmplx_0(k3_xcmplx_0(2, B), A))), k17_sin_cos(A)), k1_square_1(k2_xcmplx_0(k19_sin_cos(k6_xcmplx_0(k3_xcmplx_0(2, B), A)), k19_sin_cos(A))))) ) ) ) ) ).
fof(t17_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_tarski(k2_xcmplx_0(B, k7_xcmplx_0(A, 2)), k1_relset_1(k1_numbers, k1_fdiff_9)) & r2_tarski(k6_xcmplx_0(B, k7_xcmplx_0(A, 2)), k1_relset_1(k1_numbers, k1_fdiff_9)))  => k1_funct_1(k5_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k1_fdiff_9), A), B)=k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(4, k17_sin_cos(k3_xcmplx_0(2, B))), k17_sin_cos(A)), k1_square_1(k2_xcmplx_0(k19_sin_cos(k3_xcmplx_0(2, B)), k19_sin_cos(A))))) ) ) ) ) ).
fof(t18_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_hidden(A, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, k2_fdiff_9), k1_relset_1(k1_numbers, k1_fdiff_9))) & r2_hidden(B, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, k2_fdiff_9), k1_relset_1(k1_numbers, k1_fdiff_9))))  => k9_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k1_fdiff_9), A, B)=k7_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(4, k3_xcmplx_0(k19_sin_cos(k2_xcmplx_0(B, A)), k17_sin_cos(k6_xcmplx_0(B, A)))), k3_xcmplx_0(k17_sin_cos(k3_xcmplx_0(2, A)), k17_sin_cos(k3_xcmplx_0(2, B)))), k6_xcmplx_0(A, B))) ) ) ) ) ).
fof(t19_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_tarski(k2_xcmplx_0(B, A), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, k2_fdiff_9), k1_relset_1(k1_numbers, k1_fdiff_9))) & r2_hidden(B, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, k2_fdiff_9), k1_relset_1(k1_numbers, k1_fdiff_9))))  => k1_funct_1(k3_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k1_fdiff_9), A), B)=k4_xcmplx_0(k3_xcmplx_0(4, k7_xcmplx_0(k3_xcmplx_0(k19_sin_cos(k2_xcmplx_0(k3_xcmplx_0(2, B), A)), k17_sin_cos(A)), k3_xcmplx_0(k17_sin_cos(k3_xcmplx_0(2, k2_xcmplx_0(B, A))), k17_sin_cos(k3_xcmplx_0(2, B))))))) ) ) ) ) ).
fof(t20_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_tarski(k6_xcmplx_0(B, A), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, k2_fdiff_9), k1_relset_1(k1_numbers, k1_fdiff_9))) & r2_hidden(B, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, k2_fdiff_9), k1_relset_1(k1_numbers, k1_fdiff_9))))  => k1_funct_1(k4_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k1_fdiff_9), A), B)=k4_xcmplx_0(k3_xcmplx_0(4, k7_xcmplx_0(k3_xcmplx_0(k19_sin_cos(k6_xcmplx_0(k3_xcmplx_0(2, B), A)), k17_sin_cos(A)), k3_xcmplx_0(k17_sin_cos(k3_xcmplx_0(2, B)), k17_sin_cos(k3_xcmplx_0(2, k6_xcmplx_0(B, A)))))))) ) ) ) ) ).
fof(t21_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_tarski(k2_xcmplx_0(B, k7_xcmplx_0(A, 2)), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, k2_fdiff_9), k1_relset_1(k1_numbers, k1_fdiff_9))) & r2_tarski(k6_xcmplx_0(B, k7_xcmplx_0(A, 2)), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, k2_fdiff_9), k1_relset_1(k1_numbers, k1_fdiff_9))))  => k1_funct_1(k5_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k1_fdiff_9), A), B)=k4_xcmplx_0(k3_xcmplx_0(4, k7_xcmplx_0(k3_xcmplx_0(k19_sin_cos(k3_xcmplx_0(2, B)), k17_sin_cos(A)), k3_xcmplx_0(k17_sin_cos(k2_xcmplx_0(k3_xcmplx_0(2, B), A)), k17_sin_cos(k6_xcmplx_0(k3_xcmplx_0(2, B), A))))))) ) ) ) ) ).
fof(t22_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_hidden(A, k1_relset_1(k1_numbers, k26_sin_cos)) & r2_hidden(B, k1_relset_1(k1_numbers, k26_sin_cos)))  => k9_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k26_sin_cos), k18_sin_cos), A, B)=k9_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k16_sin_cos), A, B)) ) ) ) ) ).
fof(t23_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_hidden(B, k1_relset_1(k1_numbers, k26_sin_cos)) & r2_tarski(k2_xcmplx_0(B, A), k1_relset_1(k1_numbers, k26_sin_cos)))  => k1_funct_1(k3_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k26_sin_cos), k18_sin_cos), A), B)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k16_sin_cos), k2_xcmplx_0(B, A)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k16_sin_cos), B))) ) ) ) ) ).
fof(t24_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_hidden(B, k1_relset_1(k1_numbers, k26_sin_cos)) & r2_tarski(k6_xcmplx_0(B, A), k1_relset_1(k1_numbers, k26_sin_cos)))  => k1_funct_1(k4_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k26_sin_cos), k18_sin_cos), A), B)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k16_sin_cos), B), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k16_sin_cos), k6_xcmplx_0(B, A)))) ) ) ) ) ).
fof(t25_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_tarski(k2_xcmplx_0(B, k7_xcmplx_0(A, 2)), k1_relset_1(k1_numbers, k26_sin_cos)) & r2_tarski(k6_xcmplx_0(B, k7_xcmplx_0(A, 2)), k1_relset_1(k1_numbers, k26_sin_cos)))  => k1_funct_1(k5_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k26_sin_cos), k18_sin_cos), A), B)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k16_sin_cos), k2_xcmplx_0(B, k7_xcmplx_0(A, 2))), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k16_sin_cos), k6_xcmplx_0(B, k7_xcmplx_0(A, 2))))) ) ) ) ) ).
fof(t26_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_hidden(A, k1_relset_1(k1_numbers, k27_sin_cos)) & r2_hidden(B, k1_relset_1(k1_numbers, k27_sin_cos)))  => k9_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k27_sin_cos), k16_sin_cos), A, B)=k9_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k18_sin_cos), A, B)) ) ) ) ) ).
fof(t27_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_hidden(B, k1_relset_1(k1_numbers, k27_sin_cos)) & r2_tarski(k2_xcmplx_0(B, A), k1_relset_1(k1_numbers, k27_sin_cos)))  => k1_funct_1(k3_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k27_sin_cos), k16_sin_cos), A), B)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k18_sin_cos), k2_xcmplx_0(B, A)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k18_sin_cos), B))) ) ) ) ) ).
fof(t28_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_hidden(B, k1_relset_1(k1_numbers, k27_sin_cos)) & r2_tarski(k6_xcmplx_0(B, A), k1_relset_1(k1_numbers, k27_sin_cos)))  => k1_funct_1(k4_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k27_sin_cos), k16_sin_cos), A), B)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k18_sin_cos), B), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k18_sin_cos), k6_xcmplx_0(B, A)))) ) ) ) ) ).
fof(t29_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_tarski(k2_xcmplx_0(B, k7_xcmplx_0(A, 2)), k1_relset_1(k1_numbers, k27_sin_cos)) & r2_tarski(k6_xcmplx_0(B, k7_xcmplx_0(A, 2)), k1_relset_1(k1_numbers, k27_sin_cos)))  => k1_funct_1(k5_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k27_sin_cos), k16_sin_cos), A), B)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k18_sin_cos), k2_xcmplx_0(B, k7_xcmplx_0(A, 2))), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k18_sin_cos), k6_xcmplx_0(B, k7_xcmplx_0(A, 2))))) ) ) ) ) ).
fof(t30_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  ~ (k9_diff_1(k3_taylor_1, A, B)=k7_xcmplx_0(k1_funct_1(k3_taylor_1, k7_xcmplx_0(A, B)), k6_xcmplx_0(A, B))) ) ) ) ) ) ) ) ).
fof(t31_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  ( ~ (r1_xxreal_0(k2_xcmplx_0(B, A), k5_numbers))  &  ~ (k1_funct_1(k3_diff_1(k3_taylor_1, A), B)=k1_funct_1(k3_taylor_1, k2_xcmplx_0(1, k7_xcmplx_0(A, B)))) ) ) ) ) ) ) ) ).
fof(t32_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  ( ~ (r1_xxreal_0(k6_xcmplx_0(B, A), k5_numbers))  &  ~ (k1_funct_1(k4_diff_1(k3_taylor_1, A), B)=k1_funct_1(k3_taylor_1, k2_xcmplx_0(1, k7_xcmplx_0(A, k6_xcmplx_0(B, A))))) ) ) ) ) ) ) ) ).
fof(t33_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(k2_xcmplx_0(B, k7_xcmplx_0(A, 2)), k5_numbers))  &  ( ~ (r1_xxreal_0(k6_xcmplx_0(B, k7_xcmplx_0(A, 2)), k5_numbers))  &  ~ (k1_funct_1(k5_diff_1(k3_taylor_1, A), B)=k1_funct_1(k3_taylor_1, k2_xcmplx_0(1, k7_xcmplx_0(A, k6_xcmplx_0(B, k7_xcmplx_0(A, 2)))))) ) ) ) ) ) ) ) ).
fof(t34_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k23_sin_cos(k6_xcmplx_0(A, B))=k7_xcmplx_0(k23_sin_cos(A), k23_sin_cos(B))) ) ) ) ).
fof(t35_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k3_diff_1(C, A), B)=k6_xcmplx_0(k1_funct_1(k2_diff_1(C, A), B), k1_funct_1(C, B))) ) ) ) ) ) ).
fof(t36_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [F] :  (v1_xreal_0(F) => k1_funct_1(D, F)=k1_funct_1(k3_diff_1(E, A), F)) )  => k9_diff_1(D, B, C)=k6_xcmplx_0(k9_diff_1(E, k2_xcmplx_0(B, A), k2_xcmplx_0(C, A)), k9_diff_1(E, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k3_diff_1(k3_diff_1(C, A), A), B)=k6_xcmplx_0(k1_funct_1(k3_diff_1(C, k3_xcmplx_0(2, A)), B), k3_xcmplx_0(2, k1_funct_1(k3_diff_1(C, A), B)))) ) ) ) ) ) ).
fof(t38_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k4_diff_1(k3_diff_1(C, A), A), B)=k6_xcmplx_0(k1_funct_1(k3_diff_1(C, A), B), k1_funct_1(k4_diff_1(C, A), B))) ) ) ) ) ) ).
fof(t39_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k5_diff_1(k3_diff_1(C, A), A), B)=k6_xcmplx_0(k1_funct_1(k3_diff_1(C, A), k2_xcmplx_0(B, k7_xcmplx_0(A, 2))), k1_funct_1(k5_diff_1(C, A), B))) ) ) ) ) ) ).
fof(t40_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(C, A), 1), B)=k6_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(C, A), k5_numbers), k2_xcmplx_0(B, A)), k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(C, A), k5_numbers), B))) ) ) ) ) ) ).
fof(t41_diff_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(D, B), k1_nat_1(A, 1)), C)=k6_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(D, B), A), k2_xcmplx_0(C, B)), k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k6_diff_1(D, B), A), C))) ) ) ) ) ) ) ) ).
fof(t42_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k4_diff_1(C, A), B)=k6_xcmplx_0(k1_funct_1(C, B), k1_funct_1(k2_diff_1(C, k4_xcmplx_0(A)), B))) ) ) ) ) ) ).
fof(t43_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [F] :  (v1_xreal_0(F) => k1_funct_1(D, F)=k1_funct_1(k4_diff_1(E, A), F)) )  => k9_diff_1(D, B, C)=k6_xcmplx_0(k9_diff_1(E, B, C), k9_diff_1(E, k6_xcmplx_0(B, A), k6_xcmplx_0(C, A)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k3_diff_1(k4_diff_1(C, A), A), B)=k6_xcmplx_0(k1_funct_1(k3_diff_1(C, A), B), k1_funct_1(k4_diff_1(C, A), B))) ) ) ) ) ) ).
fof(t45_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k4_diff_1(k4_diff_1(C, A), A), B)=k6_xcmplx_0(k3_xcmplx_0(2, k1_funct_1(k4_diff_1(C, A), B)), k1_funct_1(k4_diff_1(C, k3_xcmplx_0(2, A)), B))) ) ) ) ) ) ).
fof(t46_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k5_diff_1(k4_diff_1(C, A), A), B)=k6_xcmplx_0(k1_funct_1(k5_diff_1(C, A), B), k1_funct_1(k4_diff_1(C, A), k6_xcmplx_0(B, k7_xcmplx_0(A, 2))))) ) ) ) ) ) ).
fof(t47_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(C, A), 1), B)=k6_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(C, A), k5_numbers), B), k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(C, A), k5_numbers), k6_xcmplx_0(B, A)))) ) ) ) ) ) ).
fof(t48_diff_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(D, B), k1_nat_1(A, 1)), C)=k6_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(D, B), A), C), k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k7_diff_1(D, B), A), k6_xcmplx_0(C, B)))) ) ) ) ) ) ) ) ).
fof(t49_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k5_diff_1(C, A), B)=k6_xcmplx_0(k1_funct_1(k2_diff_1(C, k7_xcmplx_0(A, 2)), B), k1_funct_1(k2_diff_1(C, k4_xcmplx_0(k7_xcmplx_0(A, 2))), B))) ) ) ) ) ) ).
fof(t50_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [F] :  (v1_xreal_0(F) => k1_funct_1(D, F)=k1_funct_1(k5_diff_1(E, A), F)) )  => k9_diff_1(D, B, C)=k6_xcmplx_0(k9_diff_1(E, k2_xcmplx_0(B, k7_xcmplx_0(A, 2)), k2_xcmplx_0(C, k7_xcmplx_0(A, 2))), k9_diff_1(E, k6_xcmplx_0(B, k7_xcmplx_0(A, 2)), k6_xcmplx_0(C, k7_xcmplx_0(A, 2))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k3_diff_1(k5_diff_1(C, A), A), B)=k6_xcmplx_0(k1_funct_1(k3_diff_1(C, A), k2_xcmplx_0(B, k7_xcmplx_0(A, 2))), k1_funct_1(k5_diff_1(C, A), B))) ) ) ) ) ) ).
fof(t52_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k4_diff_1(k5_diff_1(C, A), A), B)=k6_xcmplx_0(k1_funct_1(k5_diff_1(C, A), B), k1_funct_1(k4_diff_1(C, A), k6_xcmplx_0(B, k7_xcmplx_0(A, 2))))) ) ) ) ) ) ).
fof(t53_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k5_diff_1(k5_diff_1(C, A), A), B)=k6_xcmplx_0(k1_funct_1(k3_diff_1(C, A), B), k1_funct_1(k4_diff_1(C, A), B))) ) ) ) ) ) ).
fof(t54_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(C, A), 1), B)=k6_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(C, A), k5_numbers), k2_xcmplx_0(B, k7_xcmplx_0(A, 2))), k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(C, A), k5_numbers), k6_xcmplx_0(B, k7_xcmplx_0(A, 2))))) ) ) ) ) ) ).
fof(t55_diff_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(D, B), k1_nat_1(A, 1)), C)=k6_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(D, B), A), k2_xcmplx_0(C, k7_xcmplx_0(B, 2))), k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k8_diff_1(D, B), A), k6_xcmplx_0(C, k7_xcmplx_0(B, 2))))) ) ) ) ) ) ) ) ).
fof(t56_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_hidden(A, k1_relset_1(k1_numbers, k26_sin_cos)) & r2_hidden(B, k1_relset_1(k1_numbers, k26_sin_cos)))  => k9_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k26_sin_cos), k16_sin_cos), A, B)=k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_newton(k17_sin_cos(A), 3), k1_square_1(k19_sin_cos(B))), k3_xcmplx_0(k1_newton(k17_sin_cos(B), 3), k1_square_1(k19_sin_cos(A)))), k3_xcmplx_0(k3_xcmplx_0(k1_square_1(k19_sin_cos(A)), k1_square_1(k19_sin_cos(B))), k6_xcmplx_0(A, B)))) ) ) ) ) ).
fof(t57_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_hidden(B, k1_relset_1(k1_numbers, k26_sin_cos)) & r2_tarski(k2_xcmplx_0(B, A), k1_relset_1(k1_numbers, k26_sin_cos)))  => k1_funct_1(k3_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k26_sin_cos), k16_sin_cos), A), B)=k6_xcmplx_0(k3_xcmplx_0(k1_newton(k1_funct_1(k16_sin_cos, k2_xcmplx_0(B, A)), 3), k1_newton(k5_xcmplx_0(k1_funct_1(k18_sin_cos, k2_xcmplx_0(B, A))), 2)), k3_xcmplx_0(k1_newton(k1_funct_1(k16_sin_cos, B), 3), k1_newton(k5_xcmplx_0(k1_funct_1(k18_sin_cos, B)), 2)))) ) ) ) ) ).
fof(t58_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_hidden(B, k1_relset_1(k1_numbers, k26_sin_cos)) & r2_tarski(k6_xcmplx_0(B, A), k1_relset_1(k1_numbers, k26_sin_cos)))  => k1_funct_1(k4_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k26_sin_cos), k16_sin_cos), A), B)=k6_xcmplx_0(k3_xcmplx_0(k1_newton(k1_funct_1(k16_sin_cos, B), 3), k1_newton(k5_xcmplx_0(k1_funct_1(k18_sin_cos, B)), 2)), k3_xcmplx_0(k1_newton(k1_funct_1(k16_sin_cos, k6_xcmplx_0(B, A)), 3), k1_newton(k5_xcmplx_0(k1_funct_1(k18_sin_cos, k6_xcmplx_0(B, A))), 2)))) ) ) ) ) ).
fof(t59_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_tarski(k2_xcmplx_0(B, k7_xcmplx_0(A, 2)), k1_relset_1(k1_numbers, k26_sin_cos)) & r2_tarski(k6_xcmplx_0(B, k7_xcmplx_0(A, 2)), k1_relset_1(k1_numbers, k26_sin_cos)))  => k1_funct_1(k5_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k26_sin_cos), k16_sin_cos), A), B)=k6_xcmplx_0(k3_xcmplx_0(k1_newton(k1_funct_1(k16_sin_cos, k2_xcmplx_0(B, k7_xcmplx_0(A, 2))), 3), k1_newton(k5_xcmplx_0(k1_funct_1(k18_sin_cos, k2_xcmplx_0(B, k7_xcmplx_0(A, 2)))), 2)), k3_xcmplx_0(k1_newton(k1_funct_1(k16_sin_cos, k6_xcmplx_0(B, k7_xcmplx_0(A, 2))), 3), k1_newton(k5_xcmplx_0(k1_funct_1(k18_sin_cos, k6_xcmplx_0(B, k7_xcmplx_0(A, 2)))), 2)))) ) ) ) ) ).
fof(t60_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_hidden(A, k1_relset_1(k1_numbers, k27_sin_cos)) & r2_hidden(B, k1_relset_1(k1_numbers, k27_sin_cos)))  => k9_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k27_sin_cos), k18_sin_cos), A, B)=k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_newton(k19_sin_cos(A), 3), k1_square_1(k17_sin_cos(B))), k3_xcmplx_0(k1_newton(k19_sin_cos(B), 3), k1_square_1(k17_sin_cos(A)))), k3_xcmplx_0(k3_xcmplx_0(k1_square_1(k17_sin_cos(A)), k1_square_1(k17_sin_cos(B))), k6_xcmplx_0(A, B)))) ) ) ) ) ).
fof(t61_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_hidden(B, k1_relset_1(k1_numbers, k27_sin_cos)) & r2_tarski(k2_xcmplx_0(B, A), k1_relset_1(k1_numbers, k27_sin_cos)))  => k1_funct_1(k3_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k27_sin_cos), k18_sin_cos), A), B)=k6_xcmplx_0(k3_xcmplx_0(k1_newton(k1_funct_1(k18_sin_cos, k2_xcmplx_0(B, A)), 3), k1_newton(k5_xcmplx_0(k1_funct_1(k16_sin_cos, k2_xcmplx_0(B, A))), 2)), k3_xcmplx_0(k1_newton(k1_funct_1(k18_sin_cos, B), 3), k1_newton(k5_xcmplx_0(k1_funct_1(k16_sin_cos, B)), 2)))) ) ) ) ) ).
fof(t62_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_hidden(B, k1_relset_1(k1_numbers, k27_sin_cos)) & r2_tarski(k6_xcmplx_0(B, A), k1_relset_1(k1_numbers, k27_sin_cos)))  => k1_funct_1(k4_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k27_sin_cos), k18_sin_cos), A), B)=k6_xcmplx_0(k3_xcmplx_0(k1_newton(k1_funct_1(k18_sin_cos, B), 3), k1_newton(k5_xcmplx_0(k1_funct_1(k16_sin_cos, B)), 2)), k3_xcmplx_0(k1_newton(k1_funct_1(k18_sin_cos, k6_xcmplx_0(B, A)), 3), k1_newton(k5_xcmplx_0(k1_funct_1(k16_sin_cos, k6_xcmplx_0(B, A))), 2)))) ) ) ) ) ).
fof(t63_diff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r2_tarski(k2_xcmplx_0(B, k7_xcmplx_0(A, 2)), k1_relset_1(k1_numbers, k27_sin_cos)) & r2_tarski(k6_xcmplx_0(B, k7_xcmplx_0(A, 2)), k1_relset_1(k1_numbers, k27_sin_cos)))  => k1_funct_1(k5_diff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k27_sin_cos), k18_sin_cos), A), B)=k6_xcmplx_0(k3_xcmplx_0(k1_newton(k1_funct_1(k18_sin_cos, k2_xcmplx_0(B, k7_xcmplx_0(A, 2))), 3), k1_newton(k5_xcmplx_0(k1_funct_1(k16_sin_cos, k2_xcmplx_0(B, k7_xcmplx_0(A, 2)))), 2)), k3_xcmplx_0(k1_newton(k1_funct_1(k18_sin_cos, k6_xcmplx_0(B, k7_xcmplx_0(A, 2))), 3), k1_newton(k5_xcmplx_0(k1_funct_1(k16_sin_cos, k6_xcmplx_0(B, k7_xcmplx_0(A, 2)))), 2)))) ) ) ) ) ).
fof(cc1_dilworth, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_zfmisc_1(B) => v1_dilworth(B, A)) ) ) ) ) ).
fof(rc1_dilworth, axiom,  (! [A] :  (l1_orders_2(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v1_dilworth(B, A)) ) ) ) ).
fof(rc2_dilworth, axiom,  (! [A] :  (l1_orders_2(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  (v1_finset_1(B) & v1_dilworth(B, A)) ) ) ) ) ).
fof(cc2_dilworth, axiom,  (! [A] :  ( (v3_orders_2(A) & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_dilworth(B, A) => v6_orders_2(B, A)) ) ) ) ) ).
fof(rc3_dilworth, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) & v1_dilworth(B, A)) ) ) ) ) ) ).
fof(cc3_dilworth, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_zfmisc_1(B) => v2_dilworth(B, A)) ) ) ) ) ).
fof(rc4_dilworth, axiom,  (! [A] :  (l1_orders_2(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v2_dilworth(B, A)) ) ) ) ).
fof(rc5_dilworth, axiom,  (! [A] :  (l1_orders_2(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  (v1_finset_1(B) & v2_dilworth(B, A)) ) ) ) ) ).
fof(rc6_dilworth, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) & v2_dilworth(B, A)) ) ) ) ) ) ).
fof(cc4_dilworth, axiom,  (! [A] :  (l1_orders_2(A) =>  (v8_struct_0(A) => v3_dilworth(A)) ) ) ).
fof(cc5_dilworth, axiom,  (! [A] :  ( (v3_dilworth(A) & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_dilworth(B, A) =>  (v1_finset_1(B) & v1_dilworth(B, A)) ) ) ) ) ) ).
fof(fc1_dilworth, axiom,  (! [A] :  ( (v2_struct_0(A) & l1_orders_2(A))  =>  (v1_xboole_0(k1_dilworth(A)) & v7_ordinal1(k1_dilworth(A))) ) ) ).
fof(fc2_dilworth, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_dilworth(A) & l1_orders_2(A)) )  =>  (v2_xxreal_0(k1_dilworth(A)) & v7_ordinal1(k1_dilworth(A))) ) ) ).
fof(cc6_dilworth, axiom,  (! [A] :  (l1_orders_2(A) =>  (v8_struct_0(A) => v4_dilworth(A)) ) ) ).
fof(cc7_dilworth, axiom,  (! [A] :  ( (v4_dilworth(A) & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_dilworth(B, A) =>  (v1_finset_1(B) & v2_dilworth(B, A)) ) ) ) ) ) ).
fof(fc3_dilworth, axiom,  (! [A] :  ( (v2_struct_0(A) & l1_orders_2(A))  =>  (v1_xboole_0(k2_dilworth(A)) & v7_ordinal1(k2_dilworth(A))) ) ) ).
fof(fc4_dilworth, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_dilworth(A) & l1_orders_2(A)) )  =>  (v2_xxreal_0(k2_dilworth(A)) & v7_ordinal1(k2_dilworth(A))) ) ) ).
fof(cc8_dilworth, axiom,  (! [A] :  (l1_orders_2(A) =>  ( (v3_dilworth(A) & v4_dilworth(A))  => v8_struct_0(A)) ) ) ).
fof(fc5_dilworth, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v3_dilworth(A) & l1_orders_2(A)) ) ) )  =>  ~ (v1_xboole_0(k6_dilworth(A))) ) ) ).
fof(fc6_dilworth, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v3_dilworth(A) & l1_orders_2(A)) ) ) )  =>  ~ (v1_xboole_0(k5_dilworth(A))) ) ) ).
fof(fc7_dilworth, axiom,  (! [A] :  (l1_orders_2(A) => v2_dilworth(k5_dilworth(A), A)) ) ).
fof(fc8_dilworth, axiom,  (! [A] :  (l1_orders_2(A) => v2_dilworth(k6_dilworth(A), A)) ) ).
fof(fc9_dilworth, axiom,  (! [A, B] :  ( (l1_orders_2(A) &  (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (v8_struct_0(k5_yellow_0(A, B)) &  (v1_orders_2(k5_yellow_0(A, B)) & v4_yellow_0(k5_yellow_0(A, B), A)) ) ) ) ).
fof(fc10_dilworth, axiom,  (! [A, B] :  ( ( (v3_dilworth(A) & l1_orders_2(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_orders_2(k5_yellow_0(A, B)) &  (v4_yellow_0(k5_yellow_0(A, B), A) & v3_dilworth(k5_yellow_0(A, B))) ) ) ) ).
fof(fc11_dilworth, axiom,  (! [A, B] :  ( ( (v4_dilworth(A) & l1_orders_2(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_orders_2(k5_yellow_0(A, B)) &  (v4_yellow_0(k5_yellow_0(A, B), A) & v4_dilworth(k5_yellow_0(A, B))) ) ) ) ).
fof(rc7_dilworth, axiom,  (! [A] :  (l1_orders_2(A) =>  (? [B] :  (m1_eqrel_1(B, u1_struct_0(A)) &  ( ~ (v10_ordinal1(B))  &  (v1_setfam_1(B) & v5_dilworth(B, A)) ) ) ) ) ) ).
fof(cc9_dilworth, axiom,  (! [A] :  ( (v2_struct_0(A) & l1_orders_2(A))  =>  (! [B] :  (m1_eqrel_1(B, u1_struct_0(A)) =>  (v1_xboole_0(B) => v5_dilworth(B, A)) ) ) ) ) ).
fof(rc8_dilworth, axiom,  (! [A] :  (l1_orders_2(A) =>  (? [B] :  (m1_eqrel_1(B, u1_struct_0(A)) &  ( ~ (v10_ordinal1(B))  &  (v1_setfam_1(B) & v6_dilworth(B, A)) ) ) ) ) ) ).
fof(cc10_dilworth, axiom,  (! [A] :  ( (v2_struct_0(A) & l1_orders_2(A))  =>  (! [B] :  (m1_eqrel_1(B, u1_struct_0(A)) => v6_dilworth(B, A)) ) ) ) ).
fof(cc11_dilworth, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_dilworth(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v7_dilworth(B, A) => v1_dilworth(B, A)) ) ) ) ) ).
fof(cc12_dilworth, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v4_dilworth(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_card_1(B, 1) => v7_dilworth(B, A)) ) ) ) ) ).
fof(t1_dilworth, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (r2_tarski(C, A))  => k6_subset_1(A, k2_xboole_0(B, k1_tarski(C)))=k6_subset_1(A, B)) ) ) ) ).
fof(t2_dilworth, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B))) => m1_subset_1(k2_xboole_0(C, D), k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(A, B))))) ) ) ) ) ) ).
fof(t3_dilworth, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, B) =>  (r1_xboole_0(A, B) => m1_eqrel_1(k2_xboole_0(C, D), k2_xboole_0(A, B))) ) ) ) ) ) ) ).
fof(t4_dilworth, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_eqrel_1(C, B) =>  (r2_xboole_0(B, A) => m1_eqrel_1(k2_xboole_0(C, k6_domain_1(k1_zfmisc_1(A), k6_subset_1(A, B))), A)) ) ) ) ) ).
fof(t5_dilworth, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(A)))  => r1_xxreal_0(k4_card_1(C), B)) ) ) ) ) ) ) ).
fof(d1_dilworth, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_dilworth(B, A) <=> r6_relat_2(u1_orders_2(A), B)) ) ) ) ) ).
fof(t6_dilworth, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_dilworth(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(C, B) &  (r2_tarski(D, B) &  ( ~ (C=D)  &  ( ~ (r1_orders_2(A, C, D))  &  ~ (r1_orders_2(A, D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_dilworth, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  ( (v1_dilworth(k7_domain_1(u1_struct_0(A), B, C), A) & m1_subset_1(k7_domain_1(u1_struct_0(A), B, C), k1_zfmisc_1(u1_struct_0(A))))  &  ( ~ (r1_orders_2(A, B, C))  &  ~ (r1_orders_2(A, C, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_dilworth, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (r1_orders_2(A, B, C) | r1_orders_2(A, C, B))  =>  (v1_dilworth(k7_domain_1(u1_struct_0(A), B, C), A) & m1_subset_1(k7_domain_1(u1_struct_0(A), B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ) ) ).
fof(t9_dilworth, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  ( (v1_dilworth(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (v1_dilworth(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ) ).
fof(t10_dilworth, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  ( (v1_finset_1(B) &  (v1_dilworth(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(C, k4_card_1(B)) &  (! [D] :  ( (v1_finset_1(D) &  (v1_dilworth(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) )  =>  ~ ( (r1_tarski(D, B) & k4_card_1(D)=C) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_dilworth, axiom,  (! [A] :  ( (v4_orders_2(A) & l1_orders_2(A))  =>  (! [B] :  ( (v1_dilworth(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r3_waybel_4(A, B, C) & r1_orders_2(A, C, D))  =>  (v1_dilworth(k2_xboole_0(B, k1_tarski(D)), A) & m1_subset_1(k2_xboole_0(B, k1_tarski(D)), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ) ) ) ) ).
fof(t12_dilworth, axiom,  (! [A] :  ( (v4_orders_2(A) & l1_orders_2(A))  =>  (! [B] :  ( (v1_dilworth(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r5_waybel_4(A, B, C) & r1_orders_2(A, D, C))  =>  (v1_dilworth(k2_xboole_0(B, k1_tarski(D)), A) & m1_subset_1(k2_xboole_0(B, k1_tarski(D)), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ) ) ) ) ).
fof(d2_dilworth, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_dilworth(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  =>  (C=D |  ( ~ (r1_orders_2(A, C, D))  &  ~ (r1_orders_2(A, D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_dilworth, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v2_dilworth(k7_domain_1(u1_struct_0(A), B, C), A) & m1_subset_1(k7_domain_1(u1_struct_0(A), B, C), k1_zfmisc_1(u1_struct_0(A))))  =>  (B=C |  ( ~ (r1_orders_2(A, B, C))  &  ~ (r1_orders_2(A, C, B)) ) ) ) ) ) ) ) ) ) ).
fof(t14_dilworth, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (r1_orders_2(A, B, C))  &  ( ~ (r1_orders_2(A, C, B))  &  ~ ( (v2_dilworth(k7_domain_1(u1_struct_0(A), B, C), A) & m1_subset_1(k7_domain_1(u1_struct_0(A), B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_dilworth, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  ( (v1_dilworth(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v2_dilworth(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  (! [E] :  ( (r2_tarski(D, C) &  (r2_tarski(E, C) &  (r2_tarski(D, B) & r2_tarski(E, B)) ) )  => D=E) ) ) ) ) ) ) ) ) ).
fof(t16_dilworth, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  ( (v2_dilworth(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (v2_dilworth(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ) ).
fof(t17_dilworth, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  ( (v1_finset_1(B) &  (v2_dilworth(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(C, k4_card_1(B)) &  (! [D] :  ( (v1_finset_1(D) &  (v2_dilworth(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) )  =>  ~ (k4_card_1(D)=C) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_dilworth, axiom,  (! [A] :  (l1_orders_2(A) =>  (v3_dilworth(A) <=>  (? [B] :  ( (v1_finset_1(B) &  (v1_dilworth(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  &  (! [C] :  ( (v1_finset_1(C) &  (v1_dilworth(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => r1_xxreal_0(k4_card_1(C), k4_card_1(B))) ) ) ) ) ) ) ).
fof(d4_dilworth, axiom,  (! [A] :  ( (v3_dilworth(A) & l1_orders_2(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (B=k1_dilworth(A) <=>  ( (? [C] :  ( (v1_finset_1(C) &  (v1_dilworth(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  & k4_card_1(C)=B) )  &  (! [C] :  ( (v1_finset_1(C) &  (v1_dilworth(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => r1_xxreal_0(k4_card_1(C), B)) ) ) ) ) ) ) ) ).
fof(t18_dilworth, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_dilworth(A) & l1_orders_2(A)) )  =>  ( (v2_dilworth(k2_struct_0(A), A) & m1_subset_1(k2_struct_0(A), k1_zfmisc_1(u1_struct_0(A))))  => k1_dilworth(A)=1) ) ) ).
fof(t19_dilworth, axiom,  (! [A] :  ( (v3_dilworth(A) & l1_orders_2(A))  =>  (k1_dilworth(A)=1 =>  (v2_dilworth(k2_struct_0(A), A) & m1_subset_1(k2_struct_0(A), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ).
fof(d5_dilworth, axiom,  (! [A] :  (l1_orders_2(A) =>  (v4_dilworth(A) <=>  (? [B] :  ( (v1_finset_1(B) &  (v2_dilworth(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  &  (! [C] :  ( (v1_finset_1(C) &  (v2_dilworth(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => r1_xxreal_0(k4_card_1(C), k4_card_1(B))) ) ) ) ) ) ) ).
fof(d6_dilworth, axiom,  (! [A] :  ( (v4_dilworth(A) & l1_orders_2(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (B=k2_dilworth(A) <=>  ( (? [C] :  ( (v1_finset_1(C) &  (v2_dilworth(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  & k4_card_1(C)=B) )  &  (! [C] :  ( (v1_finset_1(C) &  (v2_dilworth(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => r1_xxreal_0(k4_card_1(C), B)) ) ) ) ) ) ) ) ).
fof(t20_dilworth, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_dilworth(A) & l1_orders_2(A)) )  =>  ( (v1_dilworth(k2_struct_0(A), A) & m1_subset_1(k2_struct_0(A), k1_zfmisc_1(u1_struct_0(A))))  => k2_dilworth(A)=1) ) ) ).
fof(t21_dilworth, axiom,  (! [A] :  ( (v4_dilworth(A) & l1_orders_2(A))  =>  (k2_dilworth(A)=1 =>  (v1_dilworth(k2_struct_0(A), A) & m1_subset_1(k2_struct_0(A), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ).
fof(d7_dilworth, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k3_dilworth(A, B)=k4_subset_1(u1_struct_0(A), B, k3_waybel_0(A, B))) ) ) ) ).
fof(d8_dilworth, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k4_dilworth(A, B)=k4_subset_1(u1_struct_0(A), B, k4_waybel_0(A, B))) ) ) ) ).
fof(t22_dilworth, axiom,  (! [A] :  ( (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  ( (v2_dilworth(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (r2_tarski(C, k4_dilworth(A, B)) & r2_tarski(C, k3_dilworth(A, B)))  => r2_tarski(C, B)) ) ) ) ) ) ).
fof(t23_dilworth, axiom,  (! [A] :  ( (v4_dilworth(A) & l1_orders_2(A))  =>  (! [B] :  ( (v2_dilworth(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (k4_card_1(B)=k2_dilworth(A) => k4_subset_1(u1_struct_0(A), k4_dilworth(A, B), k3_dilworth(A, B))=k2_struct_0(A)) ) ) ) ) ).
fof(t24_dilworth, axiom,  (! [A] :  ( (v4_orders_2(A) & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r5_waybel_4(A, k3_dilworth(A, C), B) => r5_waybel_4(A, k2_struct_0(A), B)) ) ) ) ) ) ) ).
fof(t25_dilworth, axiom,  (! [A] :  ( (v4_orders_2(A) & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r3_waybel_4(A, k4_dilworth(A, C), B) => r3_waybel_4(A, k2_struct_0(A), B)) ) ) ) ) ) ) ).
fof(d9_dilworth, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ( ~ (v2_struct_0(A))  =>  (B=k5_dilworth(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) <=> r5_waybel_4(A, k2_struct_0(A), C)) ) ) ) )  &  (v2_struct_0(A) =>  (B=k5_dilworth(A) <=> B=k1_xboole_0) ) ) ) ) ) ) ).
fof(d10_dilworth, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ( ~ (v2_struct_0(A))  =>  (B=k6_dilworth(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) <=> r3_waybel_4(A, k2_struct_0(A), C)) ) ) ) )  &  (v2_struct_0(A) =>  (B=k6_dilworth(A) <=> B=k1_xboole_0) ) ) ) ) ) ) ).
fof(t26_dilworth, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  ( (v2_dilworth(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( ( ~ (r1_tarski(k5_dilworth(A), B))  & r1_tarski(k5_dilworth(A), k4_dilworth(A, B))) ) ) ) ) ) ).
fof(t27_dilworth, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  ( (v2_dilworth(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( ( ~ (r1_tarski(k6_dilworth(A), B))  & r1_tarski(k6_dilworth(A), k3_dilworth(A, B))) ) ) ) ) ) ).
fof(t28_dilworth, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v1_dilworth(C, k5_yellow_0(A, B)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k5_yellow_0(A, B)))))  =>  (v1_dilworth(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ) ).
fof(t29_dilworth, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v1_dilworth(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_dilworth(k9_subset_1(u1_struct_0(A), C, B), k5_yellow_0(A, B)) & m1_subset_1(k9_subset_1(u1_struct_0(A), C, B), k1_zfmisc_1(u1_struct_0(k5_yellow_0(A, B))))) ) ) ) ) ) ) ).
fof(t30_dilworth, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v2_dilworth(C, k5_yellow_0(A, B)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k5_yellow_0(A, B)))))  =>  (v2_dilworth(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ) ).
fof(t31_dilworth, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v2_dilworth(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (v2_dilworth(k9_subset_1(u1_struct_0(A), C, B), k5_yellow_0(A, B)) & m1_subset_1(k9_subset_1(u1_struct_0(A), C, B), k1_zfmisc_1(u1_struct_0(k5_yellow_0(A, B))))) ) ) ) ) ) ) ).
fof(t32_dilworth, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k5_yellow_0(A, B)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_yellow_0(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (D=E & r3_waybel_4(k5_yellow_0(A, B), C, D))  => r3_waybel_4(A, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_dilworth, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k5_yellow_0(A, B)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_yellow_0(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (D=E & r5_waybel_4(k5_yellow_0(A, B), C, D))  => r5_waybel_4(A, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_dilworth, axiom,  (! [A] :  ( (v4_orders_2(A) & l1_orders_2(A))  =>  (! [B] :  ( (v2_dilworth(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v1_dilworth(C, k5_yellow_0(A, k3_dilworth(A, B))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k5_yellow_0(A, k3_dilworth(A, B))))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_tarski(D, B) &  (r2_tarski(D, C) &  (r2_tarski(E, C) &  ( ~ (D=E)  &  ~ (r1_orders_2(A, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_dilworth, axiom,  (! [A] :  ( (v4_orders_2(A) & l1_orders_2(A))  =>  (! [B] :  ( (v2_dilworth(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v1_dilworth(C, k5_yellow_0(A, k4_dilworth(A, B))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k5_yellow_0(A, k4_dilworth(A, B))))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_tarski(D, B) &  (r2_tarski(D, C) &  (r2_tarski(E, C) &  ( ~ (D=E)  &  ~ (r1_orders_2(A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_dilworth, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v3_dilworth(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (r5_waybel_4(A, k2_struct_0(A), C) &  (C=B | r2_orders_2(A, C, B)) ) ) ) ) ) ) ) ).
fof(t37_dilworth, axiom,  (! [A] :  ( (v4_orders_2(A) &  (v5_orders_2(A) &  (v3_dilworth(A) & l1_orders_2(A)) ) )  => k4_dilworth(A, k5_dilworth(A))=k2_struct_0(A)) ) ).
fof(t38_dilworth, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v3_dilworth(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (r3_waybel_4(A, k2_struct_0(A), C) &  (C=B | r2_orders_2(A, B, C)) ) ) ) ) ) ) ) ).
fof(t39_dilworth, axiom,  (! [A] :  ( (v4_orders_2(A) &  (v5_orders_2(A) &  (v3_dilworth(A) & l1_orders_2(A)) ) )  => k3_dilworth(A, k6_dilworth(A))=k2_struct_0(A)) ) ).
fof(t40_dilworth, axiom,  (! [A] :  ( (v4_orders_2(A) &  (v5_orders_2(A) &  (v3_dilworth(A) & l1_orders_2(A)) ) )  =>  (! [B] :  ( (v2_dilworth(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (r1_tarski(k5_dilworth(A), B) => B=k5_dilworth(A)) ) ) ) ) ).
fof(t41_dilworth, axiom,  (! [A] :  ( (v4_orders_2(A) &  (v5_orders_2(A) &  (v3_dilworth(A) & l1_orders_2(A)) ) )  =>  (! [B] :  ( (v2_dilworth(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (r1_tarski(k6_dilworth(A), B) => B=k6_dilworth(A)) ) ) ) ) ).
fof(t42_dilworth, axiom,  (! [A] :  ( (v3_dilworth(A) & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => r1_xxreal_0(k1_dilworth(k5_yellow_0(A, B)), k1_dilworth(A))) ) ) ) ).
fof(t43_dilworth, axiom,  (! [A] :  ( (v3_dilworth(A) & l1_orders_2(A))  =>  (! [B] :  ( (v1_dilworth(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (k4_card_1(B)=k1_dilworth(A) & r1_tarski(B, C))  => k1_dilworth(k5_yellow_0(A, C))=k1_dilworth(A)) ) ) ) ) ) ) ).
fof(t44_dilworth, axiom,  (! [A] :  ( (v4_dilworth(A) & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => r1_xxreal_0(k2_dilworth(k5_yellow_0(A, B)), k2_dilworth(A))) ) ) ) ).
fof(t45_dilworth, axiom,  (! [A] :  ( (v4_dilworth(A) & l1_orders_2(A))  =>  (! [B] :  ( (v2_dilworth(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (k4_card_1(B)=k2_dilworth(A) & r1_tarski(B, C))  => k2_dilworth(k5_yellow_0(A, C))=k2_dilworth(A)) ) ) ) ) ) ) ).
fof(d11_dilworth, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_eqrel_1(B, u1_struct_0(A)) =>  (v5_dilworth(B, A) <=>  (! [C] :  (r2_tarski(C, B) =>  (v1_dilworth(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ) ) ).
fof(t46_dilworth, axiom,  (! [A] :  ( (v8_struct_0(A) & l1_orders_2(A))  =>  (! [B] :  ( (v5_dilworth(B, A) & m1_eqrel_1(B, u1_struct_0(A)))  => r1_xxreal_0(k2_dilworth(A), k4_card_1(B))) ) ) ) ).
fof(t47_dilworth, axiom,  (! [A] :  ( (v4_dilworth(A) & l1_orders_2(A))  =>  (! [B] :  ( (v2_dilworth(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v5_dilworth(C, A) & m1_eqrel_1(C, u1_struct_0(A)))  =>  ~ ( (k1_card_1(C)=k4_card_1(B) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  ~ ( (v3_funct_2(D, B, C) &  (! [E] :  (r2_tarski(E, B) => r2_tarski(E, k1_funct_1(D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_dilworth, axiom,  (! [A] :  ( (v8_struct_0(A) & l1_orders_2(A))  =>  (! [B] :  ( (v2_dilworth(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v5_dilworth(C, A) & m1_eqrel_1(C, u1_struct_0(A)))  =>  (k4_card_1(C)=k4_card_1(B) =>  (! [D] :  ~ ( (r2_tarski(D, C) &  (! [E] :  (m1_subset_1(E, B) =>  ~ (k9_subset_1(u1_struct_0(A), D, B)=k1_tarski(E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_dilworth, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v4_dilworth(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( (v2_dilworth(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v5_dilworth(C, k5_yellow_0(A, k4_dilworth(A, B))) & m1_eqrel_1(C, u1_struct_0(k5_yellow_0(A, k4_dilworth(A, B)))))  =>  (! [D] :  ( (v5_dilworth(D, k5_yellow_0(A, k3_dilworth(A, B))) & m1_eqrel_1(D, u1_struct_0(k5_yellow_0(A, k3_dilworth(A, B)))))  =>  ~ ( (k4_card_1(B)=k2_dilworth(A) &  (k1_card_1(C)=k2_dilworth(A) &  (k1_card_1(D)=k2_dilworth(A) &  (! [E] :  ( (v5_dilworth(E, A) & m1_eqrel_1(E, u1_struct_0(A)))  =>  ~ (k1_card_1(E)=k2_dilworth(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_dilworth, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_eqrel_1(B, u1_struct_0(A)) =>  (v6_dilworth(B, A) <=>  (! [C] :  (r2_tarski(C, B) =>  (v2_dilworth(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ) ) ).
fof(t50_dilworth, axiom,  (! [A] :  ( (v8_struct_0(A) & l1_orders_2(A))  =>  (! [B] :  ( (v6_dilworth(B, A) & m1_eqrel_1(B, u1_struct_0(A)))  => r1_xxreal_0(k1_dilworth(A), k4_card_1(B))) ) ) ) ).
fof(t51_dilworth, axiom,  (! [A] :  ( (v8_struct_0(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) )  =>  (? [B] :  ( (v5_dilworth(B, A) & m1_eqrel_1(B, u1_struct_0(A)))  & k4_card_1(B)=k2_dilworth(A)) ) ) ) ).
fof(d13_dilworth, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_dilworth(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v7_dilworth(B, A) <=>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (? [D] :  ( (v5_dilworth(D, k5_yellow_0(A, C)) & m1_eqrel_1(D, u1_struct_0(k5_yellow_0(A, C))))  &  (r1_xxreal_0(k4_card_1(D), k2_dilworth(A)) &  (? [E] :  (r2_tarski(E, D) &  (r1_tarski(k9_subset_1(u1_struct_0(A), C, B), E) &  (! [F] :  (r2_tarski(F, D) =>  (F=E | k8_subset_1(u1_struct_0(A), B, F)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_dilworth, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v4_dilworth(A) & l1_orders_2(A)) ) ) )  =>  (? [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  (v7_dilworth(B, A) &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v7_dilworth(C, A) & r2_xboole_0(B, C)) ) ) ) ) ) ) ) ) ).
fof(t53_dilworth, axiom,  (! [A] :  ( (v4_orders_2(A) &  (v5_orders_2(A) &  (v4_dilworth(A) & l1_orders_2(A)) ) )  =>  (? [B] :  ( (v5_dilworth(B, A) & m1_eqrel_1(B, u1_struct_0(A)))  & k1_card_1(B)=k2_dilworth(A)) ) ) ) ).
fof(t54_dilworth, axiom,  (! [A] :  ( (v4_orders_2(A) &  (v5_orders_2(A) &  (v3_dilworth(A) & l1_orders_2(A)) ) )  =>  (? [B] :  ( (v6_dilworth(B, A) & m1_eqrel_1(B, u1_struct_0(A)))  & k1_card_1(B)=k1_dilworth(A)) ) ) ) ).
fof(t55_dilworth, axiom,  (! [A] :  ( (v8_struct_0(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (k7_struct_0(A)=k2_xcmplx_0(k3_xcmplx_0(B, C), 1) &  ( (! [D] :  ( (v1_dilworth(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ (r1_xxreal_0(k2_xcmplx_0(B, 1), k4_card_1(D))) ) )  &  (! [D] :  ( (v2_dilworth(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ (r1_xxreal_0(k2_xcmplx_0(C, 1), k4_card_1(D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_dilworth, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (k4_card_1(A)=k2_xcmplx_0(k1_square_1(B), 1) &  (v2_funct_1(A) &  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v2_finseq_1(C) & v3_valued_0(C)) ) )  =>  ~ ( (r1_tarski(C, A) &  (r1_xxreal_0(k2_xcmplx_0(B, 1), k4_card_1(C)) &  (v5_valued_0(C) | v6_valued_0(C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_f1_s1_dilworth, axiom,  ( ~ (v1_xboole_0(f1_s1_dilworth))  & v1_finset_1(f1_s1_dilworth)) ).
fof(dt_f2_s1_dilworth, axiom, v1_finset_1(f2_s1_dilworth)).
fof(dt_k1_dilworth, axiom,  (! [A] :  ( (v3_dilworth(A) & l1_orders_2(A))  => v7_ordinal1(k1_dilworth(A))) ) ).
fof(dt_k2_dilworth, axiom,  (! [A] :  ( (v4_dilworth(A) & l1_orders_2(A))  => v7_ordinal1(k2_dilworth(A))) ) ).
fof(dt_k3_dilworth, axiom,  (! [A, B] :  ( (l1_orders_2(A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k3_dilworth(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k4_dilworth, axiom,  (! [A, B] :  ( (l1_orders_2(A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k4_dilworth(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k5_dilworth, axiom,  (! [A] :  (l1_orders_2(A) => m1_subset_1(k5_dilworth(A), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k6_dilworth, axiom,  (! [A] :  (l1_orders_2(A) => m1_subset_1(k6_dilworth(A), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(s1_dilworth, axiom,  (f2_s1_dilworth=a_0_0_dilworth => r1_xxreal_0(k4_card_1(f2_s1_dilworth), k4_card_1(f1_s1_dilworth))) ).
fof(fraenkel_a_0_0_dilworth, axiom,  (! [A] :  (r2_hidden(A, a_0_0_dilworth) <=>  (? [B] :  (m1_subset_1(B, f1_s1_dilworth) &  (A=f3_s1_dilworth(B) & p1_s1_dilworth(B)) ) ) ) ) ).
fof(fc1_diophan1, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v7_ordinal1(B))  => v1_int_1(k1_funct_1(k5_real_3(A), B))) ) ).
fof(rc1_diophan1, axiom,  (? [A] :  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_finset_1(A) &  (v1_card_1(A) &  (v1_rat_1(A) & v1_nat_6(A, 1)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc2_diophan1, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) & v1_nat_6(A, 1))  & v1_xreal_0(B))  =>  ~ (v1_xboole_0(k10_xtuple_0(k2_diophan1(A, B)))) ) ) ).
fof(fc3_diophan1, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) & v1_nat_6(A, 1))  & v1_xreal_0(B))  =>  ~ (v2_funct_1(k2_diophan1(A, B))) ) ) ).
fof(t1_diophan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (B=k8_nat_1(k1_numbers, k3_real_3(B), k5_numbers) &  (B=k2_xcmplx_0(k8_nat_1(k1_numbers, k4_real_3(B), k5_numbers), k7_xcmplx_0(1, k8_nat_1(k1_numbers, k3_real_3(B), 1))) & k8_nat_1(k1_numbers, k3_real_3(B), A)=k2_xcmplx_0(k8_nat_1(k1_numbers, k4_real_3(B), A), k7_xcmplx_0(1, k8_nat_1(k1_numbers, k3_real_3(B), k1_nat_1(A, 1))))) ) ) ) ) ) ).
fof(t2_diophan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (v1_rat_1(B))  & v1_rat_1(k8_nat_1(k1_numbers, k3_real_3(B), A))) ) ) ) ) ) ).
fof(t3_diophan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (v1_rat_1(B))  =>  ( ~ (k8_nat_1(k1_numbers, k3_real_3(B), A)=k5_numbers)  &  ( ~ (k4_real_1(k8_nat_1(k1_numbers, k3_real_3(B), 1), k8_nat_1(k1_numbers, k3_real_3(B), 2))=k5_numbers)  &  ~ (k2_xcmplx_0(k4_real_1(k8_nat_1(k1_numbers, k4_real_3(B), 1), k8_nat_1(k1_numbers, k3_real_3(B), 2)), 1)=k5_numbers) ) ) ) ) ) ) ) ).
fof(t4_diophan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (v1_rat_1(B))  =>  ( ~ (r1_xxreal_0(k8_nat_1(k1_numbers, k3_real_3(B), A), k8_nat_1(k1_numbers, k4_real_3(B), A)))  &  ( ~ (r1_xxreal_0(k2_xcmplx_0(k8_nat_1(k1_numbers, k4_real_3(B), A), 1), k8_nat_1(k1_numbers, k3_real_3(B), A)))  &  ~ (r1_xxreal_0(k8_nat_1(k1_numbers, k3_real_3(B), k1_nat_1(A, 1)), 1)) ) ) ) ) ) ) ) ).
fof(t5_diophan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (v1_rat_1(B))  & r1_xxreal_0(k8_nat_1(k1_numbers, k4_real_3(B), k1_nat_1(A, 1)), k5_numbers)) ) ) ) ) ) ).
fof(t6_diophan1, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (v1_rat_1(A))  =>  (! [B] :  (v7_ordinal1(B) => r1_xxreal_0(k8_nat_1(k1_numbers, k6_real_3(A), B), k8_nat_1(k1_numbers, k6_real_3(A), k1_nat_1(B, 1)))) ) ) ) ) ).
fof(t7_diophan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (v1_rat_1(B))  => r1_xxreal_0(1, k8_nat_1(k1_numbers, k6_real_3(B), A))) ) ) ) ) ).
fof(t8_diophan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (v1_rat_1(B))  & r1_xxreal_0(k8_nat_1(k1_numbers, k6_real_3(B), k1_nat_1(A, 2)), k8_nat_1(k1_numbers, k6_real_3(B), k1_nat_1(A, 1)))) ) ) ) ) ) ).
fof(t9_diophan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (v1_rat_1(B))  => r1_xxreal_0(A, k8_nat_1(k1_numbers, k6_real_3(B), A))) ) ) ) ) ).
fof(t10_diophan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  ( (C=k8_nat_1(k1_numbers, k5_real_3(B), A) & D=k8_nat_1(k1_numbers, k6_real_3(B), A))  =>  (C=k5_numbers | r1_int_2(C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t11_diophan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (v1_rat_1(B))  =>  ( ~ (r1_xxreal_0(k3_real_1(k4_real_1(k8_nat_1(k1_numbers, k6_real_3(B), k1_nat_1(A, 1)), k8_nat_1(k1_numbers, k3_real_3(B), k1_nat_1(A, 2))), k8_nat_1(k1_numbers, k6_real_3(B), A)), k5_numbers))  &  ~ (r1_xxreal_0(k5_real_1(k4_real_1(k8_nat_1(k1_numbers, k6_real_3(B), k1_nat_1(A, 1)), k8_nat_1(k1_numbers, k3_real_3(B), k1_nat_1(A, 2))), k8_nat_1(k1_numbers, k6_real_3(B), A)), k5_numbers)) ) ) ) ) ) ) ).
fof(t12_diophan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (v1_rat_1(B))  & r1_xxreal_0(k4_real_1(k8_nat_1(k1_numbers, k6_real_3(B), k1_nat_1(A, 1)), k3_real_1(k4_real_1(k8_nat_1(k1_numbers, k6_real_3(B), k1_nat_1(A, 1)), k8_nat_1(k1_numbers, k3_real_3(B), k1_nat_1(A, 2))), k8_nat_1(k1_numbers, k6_real_3(B), A))), k5_numbers)) ) ) ) ) ) ).
fof(t13_diophan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (v1_rat_1(B))  => B=k6_real_1(k3_real_1(k4_real_1(k8_nat_1(k1_numbers, k5_real_3(B), k1_nat_1(A, 1)), k8_nat_1(k1_numbers, k3_real_3(B), k1_nat_1(A, 2))), k8_nat_1(k1_numbers, k5_real_3(B), A)), k3_real_1(k4_real_1(k8_nat_1(k1_numbers, k6_real_3(B), k1_nat_1(A, 1)), k8_nat_1(k1_numbers, k3_real_3(B), k1_nat_1(A, 2))), k8_nat_1(k1_numbers, k6_real_3(B), A)))) ) ) ) ) ).
fof(t14_diophan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (v1_rat_1(B))  => k6_xcmplx_0(k6_real_1(k8_nat_1(k1_numbers, k5_real_3(B), k1_nat_1(A, 1)), k8_nat_1(k1_numbers, k6_real_3(B), k1_nat_1(A, 1))), B)=k7_xcmplx_0(k1_newton(k4_xcmplx_0(1), A), k4_real_1(k8_nat_1(k1_numbers, k6_real_3(B), k1_nat_1(A, 1)), k3_real_1(k4_real_1(k8_nat_1(k1_numbers, k6_real_3(B), k1_nat_1(A, 1)), k8_nat_1(k1_numbers, k3_real_3(B), k1_nat_1(A, 2))), k8_nat_1(k1_numbers, k6_real_3(B), A))))) ) ) ) ) ).
fof(t15_diophan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (v1_rat_1(B))  &  (v1_abian(A) &  ( ~ (r1_xxreal_0(A, k5_numbers))  & r1_xxreal_0(B, k6_real_1(k8_nat_1(k1_numbers, k5_real_3(B), A), k8_nat_1(k1_numbers, k6_real_3(B), A)))) ) ) ) ) ) ) ) ).
fof(t16_diophan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (v1_rat_1(B))  &  ( ~ (v1_abian(A))  & r1_xxreal_0(k6_real_1(k8_nat_1(k1_numbers, k5_real_3(B), A), k8_nat_1(k1_numbers, k6_real_3(B), A)), B)) ) ) ) ) ) ) ).
fof(t17_diophan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (v1_rat_1(B))  &  ( ~ (r1_xxreal_0(A, k5_numbers))  &  ~ (k2_xcmplx_0(k9_complex1(k6_xcmplx_0(B, k6_real_1(k8_nat_1(k1_numbers, k5_real_3(B), A), k8_nat_1(k1_numbers, k6_real_3(B), A)))), k9_complex1(k6_xcmplx_0(B, k6_real_1(k8_nat_1(k1_numbers, k5_real_3(B), k1_nat_1(A, 1)), k8_nat_1(k1_numbers, k6_real_3(B), k1_nat_1(A, 1))))))=k9_complex1(k5_real_1(k6_real_1(k8_nat_1(k1_numbers, k5_real_3(B), A), k8_nat_1(k1_numbers, k6_real_3(B), A)), k6_real_1(k8_nat_1(k1_numbers, k5_real_3(B), k1_nat_1(A, 1)), k8_nat_1(k1_numbers, k6_real_3(B), k1_nat_1(A, 1)))))) ) ) ) ) ) ) ) ).
fof(t18_diophan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (v1_rat_1(B))  & r1_xxreal_0(k9_complex1(k6_xcmplx_0(B, k6_real_1(k8_nat_1(k1_numbers, k5_real_3(B), A), k8_nat_1(k1_numbers, k6_real_3(B), A)))), k5_numbers)) ) ) ) ) ) ).
fof(t19_diophan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (v1_rat_1(B))  => r1_xxreal_0(k3_xcmplx_0(2, k8_nat_1(k1_numbers, k6_real_3(B), A)), k8_nat_1(k1_numbers, k6_real_3(B), k1_nat_1(A, 2)))) ) ) ) ) ).
fof(t20_diophan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (v1_rat_1(B))  & r1_xxreal_0(k7_xcmplx_0(1, k4_real_1(k8_nat_1(k1_numbers, k6_real_3(B), k1_nat_1(A, 1)), k8_nat_1(k1_numbers, k6_real_3(B), k1_nat_1(A, 2)))), k9_complex1(k6_xcmplx_0(B, k6_real_1(k8_nat_1(k1_numbers, k5_real_3(B), k1_nat_1(A, 1)), k8_nat_1(k1_numbers, k6_real_3(B), k1_nat_1(A, 1))))))) ) ) ) ) ) ).
fof(t21_diophan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (v1_rat_1(B))  =>  ( ~ (r1_xxreal_0(k9_complex1(k6_xcmplx_0(k3_xcmplx_0(B, k8_nat_1(k1_numbers, k6_real_3(B), A)), k8_nat_1(k1_numbers, k5_real_3(B), A))), k9_complex1(k6_xcmplx_0(k3_xcmplx_0(B, k8_nat_1(k1_numbers, k6_real_3(B), k1_nat_1(A, 1))), k8_nat_1(k1_numbers, k5_real_3(B), k1_nat_1(A, 1))))))  &  ~ (r1_xxreal_0(k9_complex1(k6_xcmplx_0(B, k6_real_1(k8_nat_1(k1_numbers, k5_real_3(B), A), k8_nat_1(k1_numbers, k6_real_3(B), A)))), k9_complex1(k6_xcmplx_0(B, k6_real_1(k8_nat_1(k1_numbers, k5_real_3(B), k1_nat_1(A, 1)), k8_nat_1(k1_numbers, k6_real_3(B), k1_nat_1(A, 1))))))) ) ) ) ) ) ) ).
fof(t22_diophan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (v1_rat_1(C))  &  ( ~ (r1_xxreal_0(A, B))  & r1_xxreal_0(k9_complex1(k6_xcmplx_0(C, k6_real_1(k8_nat_1(k1_numbers, k5_real_3(C), B), k8_nat_1(k1_numbers, k6_real_3(C), B)))), k9_complex1(k6_xcmplx_0(C, k6_real_1(k8_nat_1(k1_numbers, k5_real_3(C), A), k8_nat_1(k1_numbers, k6_real_3(C), A)))))) ) ) ) ) ) ) ) ) ).
fof(t23_diophan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (v1_rat_1(B))  & r1_xxreal_0(k7_xcmplx_0(1, k1_newton(k8_nat_1(k1_numbers, k6_real_3(B), A), 2)), k9_complex1(k6_xcmplx_0(B, k6_real_1(k8_nat_1(k1_numbers, k5_real_3(B), A), k8_nat_1(k1_numbers, k6_real_3(B), A)))))) ) ) ) ) ) ).
fof(t25_diophan1, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (v1_rat_1(A))  =>  (v2_comseq_2(k7_real_3(A)) & k1_seq_2(k7_real_3(A))=A) ) ) ) ).
fof(d1_diophan1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_nat_6(A, 1))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k1_numbers))))) )  =>  (B=k1_diophan1(A) <=>  (! [C] :  (v7_ordinal1(C) => k8_nat_1(k9_setfam_1(k1_numbers), B, C)=k2_xxreal_1(k7_xcmplx_0(C, A), k2_xcmplx_0(k7_xcmplx_0(C, A), k5_xcmplx_0(A)))) ) ) ) ) ) ) ).
fof(t26_diophan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_nat_6(B, 1))  => k2_xboole_0(k2_xxreal_1(k5_numbers, k7_xcmplx_0(k1_nat_1(A, 1), B)), k2_xxreal_1(k7_xcmplx_0(k1_nat_1(A, 1), B), k7_xcmplx_0(k1_nat_1(A, 2), B)))=k2_xxreal_1(k5_numbers, k7_xcmplx_0(k1_nat_1(A, 2), B))) ) ) ) ).
fof(t27_diophan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_nat_6(B, 1))  => k8_nat_1(k9_setfam_1(k1_numbers), k2_prob_3(k1_numbers, k1_diophan1(B)), A)=k2_xxreal_1(k5_numbers, k7_xcmplx_0(k1_nat_1(A, 1), B))) ) ) ) ).
fof(t28_diophan1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_nat_6(A, 1))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  (k1_int_1(k3_xcmplx_0(B, A))=C => r2_hidden(B, k8_nat_1(k9_setfam_1(k1_numbers), k1_diophan1(A), C))) ) ) ) ) ) ) ).
fof(t29_diophan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v7_ordinal1(D) & v1_nat_6(D, 1))  =>  ~ ( (r2_hidden(B, k8_nat_1(k9_setfam_1(k1_numbers), k1_diophan1(D), A)) &  (r2_hidden(C, k8_nat_1(k9_setfam_1(k1_numbers), k1_diophan1(D), A)) & r1_xxreal_0(k5_xcmplx_0(D), k9_complex1(k6_xcmplx_0(B, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_diophan1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_nat_6(A, 1))  => k1_funct_1(k2_prob_3(k1_numbers, k1_diophan1(A)), k6_xcmplx_0(A, 1))=k2_xxreal_1(k5_numbers, 1)) ) ).
fof(t31_diophan1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_nat_6(A, 1))  =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r2_hidden(B, k2_xxreal_1(k5_numbers, 1)) &  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(C, k6_xcmplx_0(A, 1)) & r2_hidden(B, k8_nat_1(k9_setfam_1(k1_numbers), k1_diophan1(A), C))) ) ) ) ) ) ) ) ) ) ).
fof(t32_diophan1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_nat_6(A, 1))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_hidden(B, k8_nat_1(k9_setfam_1(k1_numbers), k1_diophan1(A), C)) => k1_int_1(k3_xcmplx_0(B, A))=C) ) ) ) ) ) ) ).
fof(t33_diophan1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_nat_6(A, 1))  =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r2_hidden(B, k2_xxreal_1(k5_numbers, 1)) &  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(C, k6_xcmplx_0(A, 1)) & k1_int_1(k3_xcmplx_0(B, A))=C) ) ) ) ) ) ) ) ) ) ).
fof(d2_diophan1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_nat_6(A, 1))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m2_finseq_1(C, k6_ordinal1(A)) =>  (C=k2_diophan1(A, B) <=>  (k3_finseq_1(C)=k1_nat_1(A, 1) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(C)) => k1_funct_1(C, D)=k1_int_1(k3_xcmplx_0(k3_int_1(k3_xcmplx_0(k6_xcmplx_0(D, 1), B)), A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_diophan1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_nat_6(B, 1))  => r2_tarski(k4_card_1(k2_relset_1(k6_ordinal1(B), k2_diophan1(B, A))), k1_card_1(k4_finseq_1(k2_diophan1(B, A))))) ) ) ) ).
fof(t35_diophan1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_nat_6(B, 1))  =>  (? [C] :  (v1_int_1(C) &  (? [D] :  (v1_int_1(D) &  ( ~ (r1_xxreal_0(k7_xcmplx_0(1, B), k9_complex1(k6_xcmplx_0(k3_xcmplx_0(C, A), D))))  &  ( ~ (r1_xxreal_0(C, k5_numbers))  & r1_xxreal_0(C, B)) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_diophan1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_nat_6(A, 1))  =>  (v1_funct_1(k1_diophan1(A)) &  (v1_funct_2(k1_diophan1(A), k4_ordinal1, k9_setfam_1(k1_numbers)) & m1_subset_1(k1_diophan1(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k1_numbers))))) ) ) ) ).
fof(dt_k2_diophan1, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) & v1_nat_6(A, 1))  & v1_xreal_0(B))  => m2_finseq_1(k2_diophan1(A, B), k6_ordinal1(A))) ) ).
fof(t24_diophan1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k3_numbers)) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (v1_rat_1(B))  &  (A=a_1_0_diophan1(B) & v1_finset_1(A)) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_diophan1, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_0_diophan1(B)) <=>  (? [C] :  (m1_subset_1(C, k3_numbers) &  (A=C &  ~ (r1_xxreal_0(k7_xcmplx_0(1, k1_newton(k1_rat_1(C), 2)), k9_complex1(k6_xcmplx_0(B, C)))) ) ) ) ) ) ) ).
fof(fc1_diophan2, axiom,  (! [A, B] :  ( ( (v1_xreal_0(A) &  ~ (v1_rat_1(A)) )  & v7_ordinal1(B))  =>  (v7_ordinal1(k1_funct_1(k6_real_3(A), B)) & v2_xxreal_0(k1_funct_1(k6_real_3(A), B))) ) ) ).
fof(fc2_diophan2, axiom,  (! [A] :  ( (v1_xreal_0(A) &  ~ (v1_rat_1(A)) )  =>  ~ (v1_xboole_0(k3_diophan2(A))) ) ) ).
fof(fc3_diophan2, axiom,  (! [A] :  ( (v1_xreal_0(A) &  ~ (v1_rat_1(A)) )  =>  ~ (v1_finset_1(k3_diophan2(A))) ) ) ).
fof(t1_diophan2, axiom,  (! [A] :  ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  =>  (! [B] :  ( ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B))  =>  (! [C] :  ( ( ~ (v3_xxreal_0(C))  & v1_xreal_0(C))  =>  ~ ( (r1_xxreal_0(k3_xcmplx_0(A, B), C) &  ( ~ (r1_xxreal_0(A, k3_square_1(C)))  &  ~ (r1_xxreal_0(B, k3_square_1(C))) ) ) ) ) ) ) ) ) ) ).
fof(t2_diophan2, axiom,  (! [A] :  ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  =>  (! [B] :  ( ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B))  =>  (k3_square_1(k3_xcmplx_0(A, B))=k7_xcmplx_0(k2_xcmplx_0(A, B), 2) <=> A=B) ) ) ) ) ).
fof(t3_diophan2, axiom,  (! [A] :  ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  =>  (! [B] :  ( ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B))  =>  (k3_xcmplx_0(A, B)=k1_square_1(k7_xcmplx_0(k2_xcmplx_0(A, B), 2)) <=> A=B) ) ) ) ) ).
fof(t4_diophan2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  ~ ( (r1_int_2(A, B) &  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  ~ (k2_xcmplx_0(k3_xcmplx_0(C, A), k3_xcmplx_0(D, B))=1) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_diophan2, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( ( ~ (r1_xxreal_0(A, 1))  &  ( ~ (r1_xxreal_0(k3_square_1(5), k2_xcmplx_0(A, k7_xcmplx_0(1, A))))  &  ~ ( ( ~ (r1_xxreal_0(k7_xcmplx_0(k2_xcmplx_0(k3_square_1(5), 1), 2), A))  &  ~ (r1_xxreal_0(k7_xcmplx_0(1, A), k7_xcmplx_0(k6_xcmplx_0(k3_square_1(5), 1), 2))) ) ) ) ) ) ) ) ).
fof(t6_diophan2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_rat_1(C) =>  ( (C=k7_xcmplx_0(B, A) & r1_int_2(B, A))  =>  (A=k5_ordinal1 |  (B=k2_rat_1(C) & A=k1_rat_1(C)) ) ) ) ) ) ) ) ) ).
fof(d1_diophan2, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => k1_diophan2(A)=k6_subset_1(k9_xtuple_0(A), k13_pre_poly(A))) ) ).
fof(t7_diophan2, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (r2_hidden(B, k1_diophan2(A)) <=>  (r2_hidden(B, k9_xtuple_0(A)) & k1_funct_1(A, B)=k5_ordinal1) ) ) ) ) ) ).
fof(t8_diophan2, axiom,  (! [A] :  ( (v1_xreal_0(A) &  ~ (v1_rat_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(B, 1))  &  (r1_xxreal_0(k7_xcmplx_0(1, k3_xcmplx_0(k3_square_1(5), k1_newton(k1_funct_1(k6_real_3(A), B), 2))), k9_complex1(k6_xcmplx_0(A, k7_xcmplx_0(k1_funct_1(k5_real_3(A), B), k1_funct_1(k6_real_3(A), B))))) &  (r1_xxreal_0(k7_xcmplx_0(1, k3_xcmplx_0(k3_square_1(5), k1_newton(k1_funct_1(k6_real_3(A), k2_xcmplx_0(B, 1)), 2))), k9_complex1(k6_xcmplx_0(A, k7_xcmplx_0(k1_funct_1(k5_real_3(A), k2_xcmplx_0(B, 1)), k1_funct_1(k6_real_3(A), k2_xcmplx_0(B, 1)))))) & r1_xxreal_0(k3_square_1(5), k2_xcmplx_0(k7_xcmplx_0(k1_funct_1(k6_real_3(A), k2_xcmplx_0(B, 1)), k1_funct_1(k6_real_3(A), B)), k7_xcmplx_0(1, k7_xcmplx_0(k1_funct_1(k6_real_3(A), k2_xcmplx_0(B, 1)), k1_funct_1(k6_real_3(A), B)))))) ) ) ) ) ) ) ) ).
fof(t9_diophan2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  ( (v1_xreal_0(D) &  ~ (v1_rat_1(D)) )  =>  ( (B=k1_funct_1(k5_real_3(D), A) & C=k1_funct_1(k6_real_3(D), A))  => r1_int_2(B, C)) ) ) ) ) ) ) ) ) ).
fof(t10_diophan2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_xreal_0(B) &  ~ (v1_rat_1(B)) )  =>  ~ ( ( ~ (r1_xxreal_0(A, 1))  &  (r1_xxreal_0(k7_xcmplx_0(1, k3_xcmplx_0(k3_square_1(5), k1_newton(k1_funct_1(k6_real_3(B), A), 2))), k9_complex1(k6_xcmplx_0(B, k7_xcmplx_0(k1_funct_1(k5_real_3(B), A), k1_funct_1(k6_real_3(B), A))))) &  (r1_xxreal_0(k7_xcmplx_0(1, k3_xcmplx_0(k3_square_1(5), k1_newton(k1_funct_1(k6_real_3(B), k2_xcmplx_0(A, 1)), 2))), k9_complex1(k6_xcmplx_0(B, k7_xcmplx_0(k1_funct_1(k5_real_3(B), k2_xcmplx_0(A, 1)), k1_funct_1(k6_real_3(B), k2_xcmplx_0(A, 1)))))) & r1_xxreal_0(k7_xcmplx_0(1, k3_xcmplx_0(k3_square_1(5), k1_newton(k1_funct_1(k6_real_3(B), k2_xcmplx_0(A, 2)), 2))), k9_complex1(k6_xcmplx_0(B, k7_xcmplx_0(k1_funct_1(k5_real_3(B), k2_xcmplx_0(A, 2)), k1_funct_1(k6_real_3(B), k2_xcmplx_0(A, 2))))))) ) ) ) ) ) ) ) ).
fof(d4_diophan2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k3_numbers, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k3_numbers, k4_ordinal1)))) )  =>  (A=k4_diophan2 <=>  (! [B] :  (v1_rat_1(B) => k1_funct_1(A, B)=k1_rat_1(B)) ) ) ) ) ).
fof(t11_diophan2, axiom,  (! [A] :  ( (v1_xreal_0(A) &  ~ (v1_rat_1(A)) )  => k7_relset_1(k3_numbers, k4_ordinal1, k4_diophan2, k2_diophan2(A))=k3_diophan2(A)) ) ).
fof(t12_diophan2, axiom,  (! [A] :  ( (v1_xreal_0(A) &  ~ (v1_rat_1(A)) )  =>  (v1_finset_1(k2_diophan2(A)) => v1_finset_1(k3_diophan2(A))) ) ) ).
fof(t13_diophan2, axiom,  (! [A] :  ( (v1_xreal_0(A) &  ~ (v1_rat_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r2_tarski(B, k3_diophan2(A)) & r1_xxreal_0(B, k5_ordinal1)) ) ) ) ) ) ).
fof(d5_diophan2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k4_numbers, k4_numbers), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_numbers, k4_numbers), k1_numbers)))) )  =>  (D=k5_diophan2(A, B, C) <=>  (! [E] :  (v1_int_1(E) =>  (! [F] :  (v1_int_1(F) => k1_binop_1(D, E, F)=k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A, E), k3_xcmplx_0(B, F)), C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_diophan2, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ~ ( (r1_int_2(B, C) &  (! [D] :  (m1_subset_1(D, k4_numbers) =>  (! [E] :  (m1_subset_1(E, k4_numbers) =>  ~ (r1_xxreal_0(k9_complex1(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(B, D), k3_xcmplx_0(C, E)), A)), k7_xcmplx_0(1, 2))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_diophan2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_int_1(B) =>  ( (r1_xxreal_0(B, A) & r1_xxreal_0(A, k2_xcmplx_0(B, 1)))  => r1_xxreal_0(k3_xcmplx_0(k9_complex1(k6_xcmplx_0(B, A)), k9_complex1(k6_xcmplx_0(k2_xcmplx_0(B, 1), A))), k7_xcmplx_0(1, 4))) ) ) ) ) ).
fof(t17_diophan2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_int_1(B) =>  ~ ( ( ~ (v1_int_1(A))  &  ( (B=k1_int_1(A) | B=k2_xcmplx_0(k1_int_1(A), 1))  & r1_xxreal_0(1, k9_complex1(k6_xcmplx_0(A, B)))) ) ) ) ) ) ) ).
fof(t18_diophan2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_int_1(C) =>  ~ ( (r1_xxreal_0(k3_xcmplx_0(k9_complex1(k6_xcmplx_0(C, A)), k9_complex1(k6_xcmplx_0(k2_xcmplx_0(C, 1), A))), k7_xcmplx_0(1, 4)) &  (r1_xxreal_0(k3_xcmplx_0(k9_complex1(k6_xcmplx_0(C, B)), k9_complex1(k6_xcmplx_0(k2_xcmplx_0(C, 1), B))), k7_xcmplx_0(1, 4)) &  ( ~ (r1_xxreal_0(k3_xcmplx_0(k9_complex1(k6_xcmplx_0(C, A)), k9_complex1(k6_xcmplx_0(C, B))), k7_xcmplx_0(1, 4)))  &  ~ (r1_xxreal_0(k3_xcmplx_0(k9_complex1(k6_xcmplx_0(k2_xcmplx_0(C, 1), A)), k9_complex1(k6_xcmplx_0(k2_xcmplx_0(C, 1), B))), k7_xcmplx_0(1, 4))) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_diophan2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_int_1(C) =>  ~ ( (r1_xxreal_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k9_complex1(k6_xcmplx_0(A, C)), k9_complex1(k6_xcmplx_0(B, C))), k9_complex1(k6_xcmplx_0(k6_xcmplx_0(A, C), 1))), k9_complex1(k6_xcmplx_0(k6_xcmplx_0(B, C), 1))), k7_xcmplx_0(k1_square_1(k9_complex1(k6_xcmplx_0(A, B))), 4)) &  ( ~ (r1_xxreal_0(k3_xcmplx_0(k9_complex1(k6_xcmplx_0(A, C)), k9_complex1(k6_xcmplx_0(B, C))), k7_xcmplx_0(k9_complex1(k6_xcmplx_0(A, B)), 2)))  &  ~ (r1_xxreal_0(k3_xcmplx_0(k9_complex1(k6_xcmplx_0(k6_xcmplx_0(A, C), 1)), k9_complex1(k6_xcmplx_0(k6_xcmplx_0(B, C), 1))), k7_xcmplx_0(k9_complex1(k6_xcmplx_0(A, B)), 2))) ) ) ) ) ) ) ) ) ) ).
fof(t20_diophan2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_int_1(C) =>  ~ ( ( ~ (r1_xxreal_0(k3_xcmplx_0(k6_xcmplx_0(C, B), k6_xcmplx_0(k2_xcmplx_0(C, 1), A)), k5_ordinal1))  &  ( ~ (r1_xxreal_0(k3_xcmplx_0(k6_xcmplx_0(A, C), k6_xcmplx_0(k2_xcmplx_0(C, 1), B)), k5_ordinal1))  &  ~ ( (k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(C, B), k6_xcmplx_0(k2_xcmplx_0(C, 1), A)), k3_xcmplx_0(k6_xcmplx_0(A, C), k6_xcmplx_0(k2_xcmplx_0(C, 1), B)))=k6_xcmplx_0(A, B) & r1_xxreal_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k9_complex1(k6_xcmplx_0(A, C)), k9_complex1(k6_xcmplx_0(B, C))), k9_complex1(k6_xcmplx_0(k6_xcmplx_0(A, C), 1))), k9_complex1(k6_xcmplx_0(k6_xcmplx_0(B, C), 1))), k7_xcmplx_0(k1_square_1(k9_complex1(k6_xcmplx_0(A, B))), 4))) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_diophan2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_int_1(C) =>  ~ ( ( ~ (r1_xxreal_0(C, B))  &  ( ~ (r1_xxreal_0(A, C))  &  ( ~ (r1_xxreal_0(k2_xcmplx_0(C, 1), A))  &  ~ (r1_xxreal_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k9_complex1(k6_xcmplx_0(A, C)), k9_complex1(k6_xcmplx_0(B, C))), k9_complex1(k6_xcmplx_0(k6_xcmplx_0(A, C), 1))), k9_complex1(k6_xcmplx_0(k6_xcmplx_0(B, C), 1))), k7_xcmplx_0(k1_square_1(k9_complex1(k6_xcmplx_0(A, B))), 4))) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_diophan2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_int_1(C) =>  ~ ( ( ~ (r1_xxreal_0(k3_xcmplx_0(k6_xcmplx_0(C, A), k6_xcmplx_0(k2_xcmplx_0(C, 1), B)), k5_ordinal1))  &  ( ~ (r1_xxreal_0(k3_xcmplx_0(k6_xcmplx_0(B, C), k6_xcmplx_0(k2_xcmplx_0(C, 1), A)), k5_ordinal1))  &  ~ ( (k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(C, A), k6_xcmplx_0(k2_xcmplx_0(C, 1), B)), k3_xcmplx_0(k6_xcmplx_0(B, C), k6_xcmplx_0(k2_xcmplx_0(C, 1), A)))=k6_xcmplx_0(B, A) & r1_xxreal_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k9_complex1(k6_xcmplx_0(A, C)), k9_complex1(k6_xcmplx_0(B, C))), k9_complex1(k6_xcmplx_0(k6_xcmplx_0(A, C), 1))), k9_complex1(k6_xcmplx_0(k6_xcmplx_0(B, C), 1))), k7_xcmplx_0(k1_square_1(k9_complex1(k6_xcmplx_0(A, B))), 4))) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_diophan2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_int_1(C) =>  ~ ( ( ~ (r1_xxreal_0(B, k2_xcmplx_0(C, 1)))  &  ( ~ (r1_xxreal_0(A, C))  &  ( ~ (r1_xxreal_0(k2_xcmplx_0(C, 1), A))  &  ~ (r1_xxreal_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k9_complex1(k6_xcmplx_0(A, C)), k9_complex1(k6_xcmplx_0(B, C))), k9_complex1(k6_xcmplx_0(k6_xcmplx_0(A, C), 1))), k9_complex1(k6_xcmplx_0(k6_xcmplx_0(B, C), 1))), k7_xcmplx_0(k1_square_1(k9_complex1(k6_xcmplx_0(A, B))), 4))) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_diophan2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (v1_int_1(A))  &  (r1_xxreal_0(k1_int_1(A), B) &  (r1_xxreal_0(B, k2_xcmplx_0(k1_int_1(A), 1)) &  (! [C] :  (v1_int_1(C) =>  ~ ( ( ~ (r1_xxreal_0(1, k9_complex1(k6_xcmplx_0(A, C))))  & r1_xxreal_0(k3_xcmplx_0(k9_complex1(k6_xcmplx_0(A, C)), k9_complex1(k6_xcmplx_0(B, C))), k7_xcmplx_0(1, 4))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_diophan2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(k7_xcmplx_0(k9_complex1(k6_xcmplx_0(A, B)), 2), k3_xcmplx_0(k9_complex1(k6_xcmplx_0(A, k1_int_1(A))), k9_complex1(k6_xcmplx_0(B, k1_int_1(A))))) &  (r1_xxreal_0(k7_xcmplx_0(k9_complex1(k6_xcmplx_0(A, B)), 2), k3_xcmplx_0(k9_complex1(k6_xcmplx_0(A, k2_xcmplx_0(k1_int_1(A), 1))), k9_complex1(k6_xcmplx_0(B, k2_xcmplx_0(k1_int_1(A), 1))))) &  ( ~ (v1_int_1(A))  &  ~ (r1_xxreal_0(k1_int_1(A), B)) ) ) ) ) ) ) ) ) ).
fof(t26_diophan2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (v1_int_1(A))  &  ( ~ (r1_xxreal_0(k1_int_1(A), B))  &  (! [C] :  (v1_int_1(C) =>  ~ ( ( ~ (r1_xxreal_0(1, k9_complex1(k6_xcmplx_0(A, C))))  &  ~ (r1_xxreal_0(k7_xcmplx_0(k9_complex1(k6_xcmplx_0(A, B)), 2), k3_xcmplx_0(k9_complex1(k6_xcmplx_0(A, C)), k9_complex1(k6_xcmplx_0(B, C))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_diophan2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(k7_xcmplx_0(k9_complex1(k6_xcmplx_0(A, B)), 2), k3_xcmplx_0(k9_complex1(k6_xcmplx_0(A, k1_int_1(A))), k9_complex1(k6_xcmplx_0(B, k1_int_1(A))))) &  (r1_xxreal_0(k7_xcmplx_0(k9_complex1(k6_xcmplx_0(A, B)), 2), k3_xcmplx_0(k9_complex1(k6_xcmplx_0(A, k2_xcmplx_0(k1_int_1(A), 1))), k9_complex1(k6_xcmplx_0(B, k2_xcmplx_0(k1_int_1(A), 1))))) &  ( ~ (v1_int_1(A))  &  ~ (r1_xxreal_0(B, k2_xcmplx_0(k1_int_1(A), 1))) ) ) ) ) ) ) ) ) ).
fof(t28_diophan2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (v1_int_1(A))  &  ( ~ (r1_xxreal_0(B, k2_xcmplx_0(k1_int_1(A), 1)))  &  (! [C] :  (v1_int_1(C) =>  ~ ( ( ~ (r1_xxreal_0(1, k9_complex1(k6_xcmplx_0(A, C))))  &  ~ (r1_xxreal_0(k7_xcmplx_0(k9_complex1(k6_xcmplx_0(A, B)), 2), k3_xcmplx_0(k9_complex1(k6_xcmplx_0(A, C)), k9_complex1(k6_xcmplx_0(B, C))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_diophan2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_int_1(C) &  ( ~ (r1_xxreal_0(1, k9_complex1(k6_xcmplx_0(A, C))))  &  ~ ( ( ~ (r1_xxreal_0(k3_xcmplx_0(k9_complex1(k6_xcmplx_0(A, C)), k9_complex1(k6_xcmplx_0(B, C))), k7_xcmplx_0(1, 4)))  & r1_xxreal_0(k7_xcmplx_0(k9_complex1(k6_xcmplx_0(A, B)), 2), k3_xcmplx_0(k9_complex1(k6_xcmplx_0(A, C)), k9_complex1(k6_xcmplx_0(B, C))))) ) ) ) ) ) ) ) ) ).
fof(t30_diophan2, axiom,  (! [A] :  ( (v1_xreal_0(A) &  ~ (v1_rat_1(A)) )  =>  (! [B] :  ( ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B))  =>  (? [C] :  (m1_subset_1(C, k3_numbers) &  ( ~ (r1_xxreal_0(k1_rat_1(C), k2_xcmplx_0(k1_int_1(B), 1)))  & r2_tarski(C, k2_diophan2(A))) ) ) ) ) ) ) ).
fof(t31_diophan2, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) =>  (! [D] :  (m1_subset_1(D, k1_numbers) =>  (! [E] :  (m1_subset_1(E, k3_numbers) =>  (! [F] :  (m1_subset_1(F, k3_numbers) =>  ~ ( ( ~ (k9_complex1(k6_xcmplx_0(k3_xcmplx_0(A, D), k3_xcmplx_0(B, C)))=k5_ordinal1)  &  ( ~ (E=F)  &  (k2_xcmplx_0(k3_xcmplx_0(B, k1_rat_1(E)), k3_xcmplx_0(D, k2_rat_1(E)))=k5_ordinal1 & k2_xcmplx_0(k3_xcmplx_0(B, k1_rat_1(F)), k3_xcmplx_0(D, k2_rat_1(F)))=k5_ordinal1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_diophan2, axiom,  (! [A] :  ( (v1_xreal_0(A) &  ~ (v1_rat_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) =>  (! [D] :  (m1_subset_1(D, k1_numbers) =>  (! [E] :  (m1_subset_1(E, k1_numbers) =>  (! [F] :  ( ( ~ (v3_xxreal_0(F))  & v1_xreal_0(F))  =>  ~ ( ( ~ (k9_complex1(k6_xcmplx_0(k3_xcmplx_0(B, E), k3_xcmplx_0(C, D)))=k5_ordinal1)  &  (! [G] :  (m1_subset_1(G, k3_numbers) =>  ~ ( ( ~ (r1_xxreal_0(k1_rat_1(G), k2_xcmplx_0(k1_int_1(F), 1)))  &  (r2_tarski(G, k2_diophan2(A)) &  ~ (k2_xcmplx_0(k3_xcmplx_0(C, k1_rat_1(G)), k3_xcmplx_0(E, k2_rat_1(G)))=k5_ordinal1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_diophan2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_ordinal1))  &  ( ~ (r1_xxreal_0(k7_xcmplx_0(1, k3_xcmplx_0(k3_square_1(5), k1_newton(D, 2))), k9_complex1(k2_xcmplx_0(k7_xcmplx_0(A, B), k7_xcmplx_0(C, D)))))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (k7_xcmplx_0(C, D)=k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(A, B)), k7_xcmplx_0(E, k1_newton(D, 2))) &  ~ (r1_xxreal_0(k7_xcmplx_0(1, k3_square_1(5)), k9_complex1(E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_diophan2, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) =>  (! [D] :  (m1_subset_1(D, k1_numbers) =>  (! [E] :  (m1_subset_1(E, k1_numbers) =>  (! [F] :  (m1_subset_1(F, k1_numbers) =>  (! [G] :  ( (v2_xxreal_0(G) & v1_xreal_0(G))  =>  ~ ( ( ~ (k9_complex1(k6_xcmplx_0(k3_xcmplx_0(A, D), k3_xcmplx_0(B, C)))=k5_ordinal1)  &  ( ~ (v1_rat_1(k7_xcmplx_0(A, C)))  &  (! [H] :  (m1_subset_1(H, k4_numbers) =>  (! [I] :  (m1_subset_1(I, k4_numbers) =>  ~ ( ( ~ (r1_xxreal_0(k7_xcmplx_0(k9_complex1(k6_xcmplx_0(k3_xcmplx_0(A, D), k3_xcmplx_0(B, C))), 4), k3_xcmplx_0(k9_complex1(k2_binop_1(k4_numbers, k4_numbers, k1_numbers, k5_diophan2(A, C, E), H, I)), k9_complex1(k2_binop_1(k4_numbers, k4_numbers, k1_numbers, k5_diophan2(B, D, F), H, I)))))  &  ~ (r1_xxreal_0(G, k9_complex1(k2_binop_1(k4_numbers, k4_numbers, k1_numbers, k5_diophan2(A, C, E), H, I)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_diophan2, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) =>  (! [D] :  (m1_subset_1(D, k1_numbers) =>  (! [E] :  (m1_subset_1(E, k1_numbers) =>  (! [F] :  (m1_subset_1(F, k1_numbers) =>  (! [G] :  ( (v2_xxreal_0(G) & v1_xreal_0(G))  =>  ~ ( ( ~ (k9_complex1(k6_xcmplx_0(k3_xcmplx_0(A, D), k3_xcmplx_0(B, C)))=k5_ordinal1)  &  ( ~ (v1_rat_1(k7_xcmplx_0(B, D)))  &  (! [H] :  (m1_subset_1(H, k4_numbers) =>  (! [I] :  (m1_subset_1(I, k4_numbers) =>  ~ ( ( ~ (r1_xxreal_0(k7_xcmplx_0(k9_complex1(k6_xcmplx_0(k3_xcmplx_0(A, D), k3_xcmplx_0(B, C))), 4), k3_xcmplx_0(k9_complex1(k2_binop_1(k4_numbers, k4_numbers, k1_numbers, k5_diophan2(B, D, F), H, I)), k9_complex1(k2_binop_1(k4_numbers, k4_numbers, k1_numbers, k5_diophan2(A, C, E), H, I)))))  &  ~ (r1_xxreal_0(G, k9_complex1(k2_binop_1(k4_numbers, k4_numbers, k1_numbers, k5_diophan2(B, D, F), H, I)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_diophan2, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) =>  (! [D] :  (m1_subset_1(D, k1_numbers) =>  (! [E] :  (m1_subset_1(E, k1_numbers) =>  (! [F] :  (m1_subset_1(F, k1_numbers) =>  ~ ( ( ~ (k1_diophan2(k5_diophan2(A, C, E))=k1_xboole_0)  &  (! [G] :  (m1_subset_1(G, k4_numbers) =>  (! [H] :  (m1_subset_1(H, k4_numbers) =>  ~ (r1_xxreal_0(k3_xcmplx_0(k9_complex1(k2_binop_1(k4_numbers, k4_numbers, k1_numbers, k5_diophan2(A, C, E), G, H)), k9_complex1(k2_binop_1(k4_numbers, k4_numbers, k1_numbers, k5_diophan2(B, D, F), G, H))), k7_xcmplx_0(k9_complex1(k6_xcmplx_0(k3_xcmplx_0(A, D), k3_xcmplx_0(B, C))), 4))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_diophan2, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) =>  (! [D] :  (m1_subset_1(D, k1_numbers) =>  (! [E] :  (m1_subset_1(E, k1_numbers) =>  (! [F] :  (m1_subset_1(F, k1_numbers) =>  ~ ( ( ~ (k1_diophan2(k5_diophan2(B, D, F))=k1_xboole_0)  &  (! [G] :  (m1_subset_1(G, k4_numbers) =>  (! [H] :  (m1_subset_1(H, k4_numbers) =>  ~ (r1_xxreal_0(k3_xcmplx_0(k9_complex1(k2_binop_1(k4_numbers, k4_numbers, k1_numbers, k5_diophan2(A, C, E), G, H)), k9_complex1(k2_binop_1(k4_numbers, k4_numbers, k1_numbers, k5_diophan2(B, D, F), G, H))), k7_xcmplx_0(k9_complex1(k6_xcmplx_0(k3_xcmplx_0(A, D), k3_xcmplx_0(B, C))), 4))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_diophan2, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) =>  (! [D] :  (m1_subset_1(D, k1_numbers) =>  (! [E] :  (m1_subset_1(E, k1_numbers) =>  (! [F] :  (m1_subset_1(F, k1_numbers) =>  ~ ( ( ~ (k9_complex1(k6_xcmplx_0(k3_xcmplx_0(A, D), k3_xcmplx_0(B, C)))=k5_ordinal1)  &  ( ~ (C=k5_ordinal1)  &  (v1_rat_1(k7_xcmplx_0(A, C)) &  (! [G] :  (m1_subset_1(G, k4_numbers) =>  (! [H] :  (m1_subset_1(H, k4_numbers) =>  ~ (r1_xxreal_0(k3_xcmplx_0(k9_complex1(k2_binop_1(k4_numbers, k4_numbers, k1_numbers, k5_diophan2(A, C, E), G, H)), k9_complex1(k2_binop_1(k4_numbers, k4_numbers, k1_numbers, k5_diophan2(B, D, F), G, H))), k7_xcmplx_0(k9_complex1(k6_xcmplx_0(k3_xcmplx_0(A, D), k3_xcmplx_0(B, C))), 4))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_diophan2, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) =>  (! [D] :  (m1_subset_1(D, k1_numbers) =>  (! [E] :  (m1_subset_1(E, k1_numbers) =>  (! [F] :  (m1_subset_1(F, k1_numbers) =>  ~ ( ( ~ (k9_complex1(k6_xcmplx_0(k3_xcmplx_0(A, D), k3_xcmplx_0(B, C)))=k5_ordinal1)  &  ( ~ (D=k5_ordinal1)  &  (v1_rat_1(k7_xcmplx_0(B, D)) &  (! [G] :  (m1_subset_1(G, k4_numbers) =>  (! [H] :  (m1_subset_1(H, k4_numbers) =>  ~ (r1_xxreal_0(k3_xcmplx_0(k9_complex1(k2_binop_1(k4_numbers, k4_numbers, k1_numbers, k5_diophan2(A, C, E), G, H)), k9_complex1(k2_binop_1(k4_numbers, k4_numbers, k1_numbers, k5_diophan2(B, D, F), G, H))), k7_xcmplx_0(k9_complex1(k6_xcmplx_0(k3_xcmplx_0(A, D), k3_xcmplx_0(B, C))), 4))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_diophan2, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) =>  (! [D] :  (m1_subset_1(D, k1_numbers) =>  (! [E] :  (m1_subset_1(E, k1_numbers) =>  (! [F] :  (m1_subset_1(F, k1_numbers) =>  ~ ( ( ~ (k9_complex1(k6_xcmplx_0(k3_xcmplx_0(A, D), k3_xcmplx_0(B, C)))=k5_ordinal1)  &  (C=k5_ordinal1 &  (! [G] :  (m1_subset_1(G, k4_numbers) =>  (! [H] :  (m1_subset_1(H, k4_numbers) =>  ~ (r1_xxreal_0(k3_xcmplx_0(k9_complex1(k2_binop_1(k4_numbers, k4_numbers, k1_numbers, k5_diophan2(A, C, E), G, H)), k9_complex1(k2_binop_1(k4_numbers, k4_numbers, k1_numbers, k5_diophan2(B, D, F), G, H))), k7_xcmplx_0(k9_complex1(k6_xcmplx_0(k3_xcmplx_0(A, D), k3_xcmplx_0(B, C))), 4))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_diophan2, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) =>  (! [D] :  (m1_subset_1(D, k1_numbers) =>  (! [E] :  (m1_subset_1(E, k1_numbers) =>  (! [F] :  (m1_subset_1(F, k1_numbers) =>  ~ ( ( ~ (k9_complex1(k6_xcmplx_0(k3_xcmplx_0(A, D), k3_xcmplx_0(B, C)))=k5_ordinal1)  &  (! [G] :  (m1_subset_1(G, k4_numbers) =>  (! [H] :  (m1_subset_1(H, k4_numbers) =>  ~ (r1_xxreal_0(k3_xcmplx_0(k9_complex1(k2_binop_1(k4_numbers, k4_numbers, k1_numbers, k5_diophan2(A, C, E), G, H)), k9_complex1(k2_binop_1(k4_numbers, k4_numbers, k1_numbers, k5_diophan2(B, D, F), G, H))), k7_xcmplx_0(k9_complex1(k6_xcmplx_0(k3_xcmplx_0(A, D), k3_xcmplx_0(B, C))), 4))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k2_diophan2, axiom,  (! [A] :  ( (v1_xreal_0(A) &  ~ (v1_rat_1(A)) )  => m1_subset_1(k2_diophan2(A), k1_zfmisc_1(k3_numbers))) ) ).
fof(dt_k3_diophan2, axiom,  (! [A] :  ( (v1_xreal_0(A) &  ~ (v1_rat_1(A)) )  => m1_subset_1(k3_diophan2(A), k1_zfmisc_1(k4_ordinal1))) ) ).
fof(dt_k4_diophan2, axiom,  (v1_funct_1(k4_diophan2) &  (v1_funct_2(k4_diophan2, k3_numbers, k4_ordinal1) & m1_subset_1(k4_diophan2, k1_zfmisc_1(k2_zfmisc_1(k3_numbers, k4_ordinal1)))) ) ).
fof(dt_k5_diophan2, axiom,  (! [A, B, C] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) & v1_xreal_0(C)) )  =>  (v1_funct_1(k5_diophan2(A, B, C)) &  (v1_funct_2(k5_diophan2(A, B, C), k2_zfmisc_1(k4_numbers, k4_numbers), k1_numbers) & m1_subset_1(k5_diophan2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_numbers, k4_numbers), k1_numbers)))) ) ) ) ).
fof(d2_diophan2, axiom,  (! [A] :  ( (v1_xreal_0(A) &  ~ (v1_rat_1(A)) )  => k2_diophan2(A)=a_1_0_diophan2(A)) ) ).
fof(d3_diophan2, axiom,  (! [A] :  ( (v1_xreal_0(A) &  ~ (v1_rat_1(A)) )  => k3_diophan2(A)=a_1_1_diophan2(A)) ) ).
fof(t14_diophan2, axiom,  (! [A] :  ( (v1_xreal_0(A) &  ~ (v1_rat_1(A)) )  =>  ~ (v1_finset_1(a_1_0_diophan2(A))) ) ) ).
fof(fraenkel_a_1_0_diophan2, axiom,  (! [A, B] :  ( (v1_xreal_0(B) &  ~ (v1_rat_1(B)) )  =>  (r2_hidden(A, a_1_0_diophan2(B)) <=>  (? [C] :  (v1_rat_1(C) &  (A=C &  ~ (r1_xxreal_0(k7_xcmplx_0(1, k3_xcmplx_0(k3_square_1(5), k1_newton(k1_rat_1(C), 2))), k9_complex1(k6_xcmplx_0(B, C)))) ) ) ) ) ) ) ).
fof(fraenkel_a_1_1_diophan2, axiom,  (! [A, B] :  ( (v1_xreal_0(B) &  ~ (v1_rat_1(B)) )  =>  (r2_hidden(A, a_1_1_diophan2(B)) <=>  (? [C] :  (v7_ordinal1(C) &  (A=C &  (? [D] :  (v1_rat_1(D) &  (r2_hidden(D, k2_diophan2(B)) & C=k1_rat_1(D)) ) ) ) ) ) ) ) ) ).
fof(fc1_diraf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_analoaf(A))  =>  ( ~ (v2_struct_0(k2_diraf(A)))  & v1_analoaf(k2_diraf(A))) ) ) ).
fof(rc1_diraf, axiom,  (? [A] :  (l1_analoaf(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v1_analoaf(A) & v1_diraf(A)) ) ) ) ) ).
fof(rc2_diraf, axiom,  (? [A] :  (l1_analoaf(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v1_analoaf(A) &  (v1_diraf(A) & v2_diraf(A)) ) ) ) ) ) ).
fof(d1_diraf, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k2_zfmisc_1(A, A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k2_zfmisc_1(A, A)))) =>  (C=k1_diraf(A, B) <=>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) =>  (r2_tarski(k1_domain_1(k2_zfmisc_1(A, A), k2_zfmisc_1(A, A), k1_domain_1(A, A, D, E), k1_domain_1(A, A, F, G)), C) <=>  (r2_tarski(k1_domain_1(k2_zfmisc_1(A, A), k2_zfmisc_1(A, A), k1_domain_1(A, A, D, E), k1_domain_1(A, A, F, G)), B) | r2_tarski(k1_domain_1(k2_zfmisc_1(A, A), k2_zfmisc_1(A, A), k1_domain_1(A, A, D, E), k1_domain_1(A, A, G, F)), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_diraf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_analoaf(A))  => k2_diraf(A)=g1_analoaf(u1_struct_0(A), k1_diraf(u1_struct_0(A), u1_analoaf(A)))) ) ).
fof(t1_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_analoaf(A, B, C, B, C)) ) ) ) ) ) ).
fof(t2_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_analoaf(A, B, C, D, E) =>  (r2_analoaf(A, C, B, E, D) &  (r2_analoaf(A, D, E, B, C) & r2_analoaf(A, E, D, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_analoaf(A, B, C, D, E) & r2_analoaf(A, D, E, F, G))  =>  (D=E | r2_analoaf(A, B, C, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_analoaf(A, B, B, C, D) & r2_analoaf(A, C, D, B, B)) ) ) ) ) ) ) ) ) ).
fof(t5_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_analoaf(A, B, C, D, E) &  (r2_analoaf(A, B, C, E, D) &  ( ~ (B=C)  &  ~ (D=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_analoaf(A, B, C, B, D) <=>  (r2_analoaf(A, B, C, C, D) | r2_analoaf(A, B, D, D, C)) ) ) ) ) ) ) ) ) ) ).
fof(d3_diraf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_analoaf(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_diraf(A, B, C, D) <=> r2_analoaf(A, B, C, C, D)) ) ) ) ) ) ) ) ) ).
fof(t7_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_analoaf(A, B, C, B, D) <=>  (r1_diraf(A, B, C, D) | r1_diraf(A, B, D, C)) ) ) ) ) ) ) ) ) ) ).
fof(t8_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_diraf(A, B, C, B) => B=C) ) ) ) ) ) ) ).
fof(t9_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_diraf(A, B, C, D) => r1_diraf(A, D, C, B)) ) ) ) ) ) ) ) ) ).
fof(t10_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_diraf(A, B, B, C) & r1_diraf(A, B, C, C)) ) ) ) ) ) ) ).
fof(t11_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_diraf(A, B, C, D) & r1_diraf(A, B, D, E))  => r1_diraf(A, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_diraf(A, B, C, D) & r1_diraf(A, C, D, E))  =>  (C=D | r1_diraf(A, B, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (r1_diraf(A, B, C, D) &  ~ (C=D) ) ) ) ) ) ) ) ) ) ).
fof(t14_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_diraf(A, B, C, D) & r1_diraf(A, C, B, D))  => B=C) ) ) ) ) ) ) ) ) ).
fof(t15_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  (r1_diraf(A, B, C, D) &  (r1_diraf(A, B, C, E) &  ( ~ (r1_diraf(A, C, D, E))  &  ~ (r1_diraf(A, C, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  (r1_diraf(A, B, C, D) &  (r1_diraf(A, B, C, E) &  ( ~ (r1_diraf(A, B, D, E))  &  ~ (r1_diraf(A, B, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r1_diraf(A, B, C, E) &  (r1_diraf(A, B, D, E) &  ( ~ (r1_diraf(A, B, C, D))  &  ~ (r1_diraf(A, B, D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_diraf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_analoaf(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_diraf(A, B, C, D, E) <=>  (r2_analoaf(A, B, C, D, E) | r2_analoaf(A, B, C, E, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_diraf(A, B, C, D, E) <=> r2_tarski(k1_domain_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_domain_1(u1_struct_0(A), u1_struct_0(A), B, C), k1_domain_1(u1_struct_0(A), u1_struct_0(A), D, E)), k1_diraf(u1_struct_0(A), u1_analoaf(A)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_diraf(A, B, C, C, B) & r2_diraf(A, B, C, B, C)) ) ) ) ) ) ) ).
fof(t20_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_diraf(A, B, C, D, D) & r2_diraf(A, D, D, B, C)) ) ) ) ) ) ) ) ) ).
fof(t21_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_diraf(A, B, C, B, D) => r2_diraf(A, C, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t22_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_diraf(A, B, C, D, E) =>  (r2_diraf(A, B, C, E, D) &  (r2_diraf(A, C, B, D, E) &  (r2_diraf(A, C, B, E, D) &  (r2_diraf(A, D, E, B, C) &  (r2_diraf(A, D, E, C, B) &  (r2_diraf(A, E, D, B, C) & r2_diraf(A, E, D, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  ( ~ ( ( ~ ( (r2_diraf(A, B, C, D, E) & r2_diraf(A, B, C, F, G)) )  &  ( ~ ( (r2_diraf(A, B, C, D, E) & r2_diraf(A, F, G, B, C)) )  &  ( ~ ( (r2_diraf(A, D, E, B, C) & r2_diraf(A, F, G, B, C)) )  &  ~ ( (r2_diraf(A, D, E, B, C) & r2_diraf(A, B, C, F, G)) ) ) ) ) )  &  ~ (r2_diraf(A, D, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  ~ ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r2_diraf(A, B, C, B, D)) ) ) ) ) ) ) ) ) ).
fof(t25_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (r2_diraf(A, B, D, C, E) &  ~ (C=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (r2_diraf(A, B, C, D, E) & r2_diraf(A, B, D, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_diraf(A, D, B, B, E) &  ( ~ (B=D)  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r2_diraf(A, C, B, B, F) & r2_diraf(A, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_diraf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_analoaf(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r3_diraf(A, B, C, D) <=> r2_diraf(A, B, C, B, D)) ) ) ) ) ) ) ) ) ).
fof(t28_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_diraf(A, B, C, D) => r3_diraf(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t29_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r3_diraf(A, B, C, D) &  ( ~ (r1_diraf(A, B, C, D))  &  ( ~ (r1_diraf(A, C, B, D))  &  ~ (r1_diraf(A, B, D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r3_diraf(A, B, C, D) =>  (r3_diraf(A, B, D, C) &  (r3_diraf(A, C, B, D) &  (r3_diraf(A, C, D, B) &  (r3_diraf(A, D, B, C) & r3_diraf(A, D, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_diraf(A, B, B, C) &  (r3_diraf(A, B, C, C) & r3_diraf(A, B, C, B)) ) ) ) ) ) ) ) ).
fof(t32_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r3_diraf(A, B, C, D) &  (r3_diraf(A, B, C, E) & r3_diraf(A, B, C, F)) )  =>  (B=C | r3_diraf(A, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r3_diraf(A, B, C, D) & r2_diraf(A, B, C, D, E))  =>  (B=C | r3_diraf(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r3_diraf(A, B, C, D) & r3_diraf(A, B, C, E))  => r2_diraf(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r3_diraf(A, B, C, E) &  (r3_diraf(A, B, C, D) & r3_diraf(A, E, D, F)) )  =>  (E=D | r3_diraf(A, B, C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  ~ ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r3_diraf(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t37_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r3_diraf(A, B, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t38_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_analoaf(B))  =>  (B=k2_diraf(A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(B)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(B)) =>  ( (C=G &  (D=H &  (E=I & F=J) ) )  =>  (r2_analoaf(B, G, H, I, J) <=> r2_diraf(A, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_analoaf(B))  =>  (B=k2_diraf(A) =>  ( ~ ( (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => C=D) ) ) ) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  (r2_analoaf(B, C, D, D, C) &  (r2_analoaf(B, C, D, E, E) &  ( ( (r2_analoaf(B, C, D, E, F) & r2_analoaf(B, C, D, G, H))  =>  (C=D | r2_analoaf(B, E, F, G, H)) )  &  (r2_analoaf(B, C, D, C, E) => r2_analoaf(B, D, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ ( (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => r2_analoaf(B, C, D, C, E)) ) ) ) ) ) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (r2_analoaf(B, C, E, D, F) &  ~ (D=F) ) ) ) ) ) ) ) ) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (r2_analoaf(B, C, D, E, F) & r2_analoaf(B, C, E, D, F)) ) ) ) ) ) ) ) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ~ ( (r2_analoaf(B, E, C, C, F) &  ( ~ (C=E)  &  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  ~ ( (r2_analoaf(B, D, C, C, G) & r2_analoaf(B, D, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_diraf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_analoaf(A))  =>  (v1_diraf(A) <=>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r2_analoaf(A, B, C, C, B) &  (r2_analoaf(A, B, C, D, D) &  ( ( (r2_analoaf(A, B, C, D, E) & r2_analoaf(A, B, C, F, G))  =>  (B=C | r2_analoaf(A, D, E, F, G)) )  &  (r2_analoaf(A, B, C, B, D) => r2_analoaf(A, C, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r2_analoaf(A, B, C, B, D)) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (r2_analoaf(A, B, D, C, E) &  ~ (C=E) ) ) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (r2_analoaf(A, B, C, D, E) & r2_analoaf(A, B, D, C, E)) ) ) ) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_analoaf(A, D, B, B, E) &  ( ~ (B=D)  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r2_analoaf(A, C, B, B, F) & r2_analoaf(A, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  ( ~ ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => B=C) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r2_analoaf(A, B, C, C, B) &  (r2_analoaf(A, B, C, D, D) &  ( ( (r2_analoaf(A, B, C, D, E) & r2_analoaf(A, B, C, F, G))  =>  (B=C | r2_analoaf(A, D, E, F, G)) )  &  (r2_analoaf(A, B, C, B, D) => r2_analoaf(A, C, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r2_analoaf(A, B, C, B, D)) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (r2_analoaf(A, B, D, C, E) &  ~ (C=E) ) ) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (r2_analoaf(A, B, C, D, E) & r2_analoaf(A, B, D, C, E)) ) ) ) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_analoaf(A, D, B, B, E) &  ( ~ (B=D)  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r2_analoaf(A, C, B, B, F) & r2_analoaf(A, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  ( ~ (v7_struct_0(k2_diraf(A)))  &  (v1_diraf(k2_diraf(A)) & l1_analoaf(k2_diraf(A))) ) ) ) ).
fof(t42_diraf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_analoaf(A))  =>  ( ( ~ ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => B=C) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r2_analoaf(A, B, C, C, B) &  (r2_analoaf(A, B, C, D, D) &  ( ( (r2_analoaf(A, B, C, D, E) & r2_analoaf(A, B, C, F, G))  =>  (B=C | r2_analoaf(A, D, E, F, G)) )  &  (r2_analoaf(A, B, C, B, D) => r2_analoaf(A, C, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r2_analoaf(A, B, C, B, D)) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (r2_analoaf(A, B, D, C, E) &  ~ (C=E) ) ) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (r2_analoaf(A, B, C, D, E) & r2_analoaf(A, B, D, C, E)) ) ) ) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_analoaf(A, D, B, B, E) &  ( ~ (B=D)  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r2_analoaf(A, C, B, B, F) & r2_analoaf(A, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  <=>  ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) ) ) ) ) ).
fof(t43_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) &  (v3_analoaf(A) & l1_analoaf(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (r2_diraf(A, B, C, D, E))  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r2_diraf(A, B, C, B, F) & r2_diraf(A, D, E, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_diraf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_analoaf(A))  =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v2_analoaf(B) &  (v3_analoaf(B) & l1_analoaf(B)) ) )  =>  (A=k2_diraf(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( ( ~ (r2_analoaf(A, C, D, E, F))  &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( (r2_analoaf(A, C, D, C, G) & r2_analoaf(A, E, F, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_diraf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_analoaf(A))  =>  (v2_diraf(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (r2_analoaf(A, B, C, D, E))  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r2_analoaf(A, B, C, B, F) & r2_analoaf(A, D, E, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_diraf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) &  (v3_analoaf(A) & l1_analoaf(A)) ) )  =>  ( ~ (v7_struct_0(k2_diraf(A)))  &  (v1_diraf(k2_diraf(A)) &  (v2_diraf(k2_diraf(A)) & l1_analoaf(k2_diraf(A))) ) ) ) ) ).
fof(t46_diraf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_analoaf(A))  =>  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  <=>  ( ~ ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => B=C) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r2_analoaf(A, B, C, C, B) &  (r2_analoaf(A, B, C, D, D) &  ( ( (r2_analoaf(A, B, C, D, E) & r2_analoaf(A, B, C, F, G))  =>  (B=C | r2_analoaf(A, D, E, F, G)) )  &  (r2_analoaf(A, B, C, B, D) => r2_analoaf(A, C, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r2_analoaf(A, B, C, B, D)) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (r2_analoaf(A, B, D, C, E) &  ~ (C=E) ) ) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (r2_analoaf(A, B, C, D, E) & r2_analoaf(A, B, D, C, E)) ) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_analoaf(A, D, B, B, E) &  ( ~ (B=D)  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r2_analoaf(A, C, B, B, F) & r2_analoaf(A, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (r2_analoaf(A, B, C, D, E))  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r2_analoaf(A, B, C, B, F) & r2_analoaf(A, D, E, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_diraf, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k2_zfmisc_1(A, A)))))  => m1_subset_1(k1_diraf(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k2_zfmisc_1(A, A))))) ) ).
fof(dt_k2_diraf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_analoaf(A))  =>  (v1_analoaf(k2_diraf(A)) & l1_analoaf(k2_diraf(A))) ) ) ).
fof(rc1_dirort, axiom,  (? [A] :  (l1_analmetr(A) &  ( ~ (v2_struct_0(A))  & v1_dirort(A)) ) ) ).
fof(rc2_dirort, axiom,  (? [A] :  (l1_analmetr(A) &  ( ~ (v2_struct_0(A))  &  (v1_dirort(A) &  (v2_dirort(A) &  (v3_dirort(A) &  (v4_dirort(A) & v5_dirort(A)) ) ) ) ) ) ) ).
fof(rc3_dirort, axiom,  (? [A] :  (l1_analmetr(A) &  ( ~ (v2_struct_0(A))  &  (v1_dirort(A) &  (v2_dirort(A) &  (v3_dirort(A) &  (v4_dirort(A) & v6_dirort(A)) ) ) ) ) ) ) ).
fof(t1_dirort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_analmetr(A, B, C) =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(k5_analort(A, B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_analort(A, B, C))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k5_analort(A, B, C))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_analort(A, B, C))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k5_analort(A, B, C))) =>  (r4_analmetr(k5_analort(A, B, C), D, D, F, H) &  (r4_analmetr(k5_analort(A, B, C), D, F, H, H) &  ( ~ ( (r4_analmetr(k5_analort(A, B, C), D, F, E, G) &  (r4_analmetr(k5_analort(A, B, C), D, F, G, E) &  ( ~ (D=F)  &  ~ (E=G) ) ) ) )  &  ( ~ ( (r4_analmetr(k5_analort(A, B, C), D, F, E, G) &  (r4_analmetr(k5_analort(A, B, C), D, F, E, H) &  ( ~ (r4_analmetr(k5_analort(A, B, C), D, F, G, H))  &  ~ (r4_analmetr(k5_analort(A, B, C), D, F, H, G)) ) ) ) )  &  ( (r4_analmetr(k5_analort(A, B, C), D, F, E, G) => r4_analmetr(k5_analort(A, B, C), F, D, G, E))  &  ( ( (r4_analmetr(k5_analort(A, B, C), D, F, E, G) & r4_analmetr(k5_analort(A, B, C), D, F, G, H))  => r4_analmetr(k5_analort(A, B, C), D, F, E, H))  &  ~ ( (r4_analmetr(k5_analort(A, B, C), D, E, F, G) &  ( ~ (r4_analmetr(k5_analort(A, B, C), F, G, D, E))  &  ~ (r4_analmetr(k5_analort(A, B, C), F, G, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(k5_analort(A, B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_analort(A, B, C))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k5_analort(A, B, C))) =>  (? [G] :  (m1_subset_1(G, u1_struct_0(k5_analort(A, B, C))) &  ( ~ (F=G)  & r4_analmetr(k5_analort(A, B, C), F, G, D, E)) ) ) ) ) ) ) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_analort(A, B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_analort(A, B, C))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k5_analort(A, B, C))) =>  (? [G] :  (m1_subset_1(G, u1_struct_0(k5_analort(A, B, C))) &  ( ~ (F=G)  & r4_analmetr(k5_analort(A, B, C), D, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_dirort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_analmetr(A, B, C) =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(k6_analort(A, B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k6_analort(A, B, C))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k6_analort(A, B, C))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k6_analort(A, B, C))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k6_analort(A, B, C))) =>  (r4_analmetr(k6_analort(A, B, C), D, D, F, H) &  (r4_analmetr(k6_analort(A, B, C), D, F, H, H) &  ( ~ ( (r4_analmetr(k6_analort(A, B, C), D, F, E, G) &  (r4_analmetr(k6_analort(A, B, C), D, F, G, E) &  ( ~ (D=F)  &  ~ (E=G) ) ) ) )  &  ( ~ ( (r4_analmetr(k6_analort(A, B, C), D, F, E, G) &  (r4_analmetr(k6_analort(A, B, C), D, F, E, H) &  ( ~ (r4_analmetr(k6_analort(A, B, C), D, F, G, H))  &  ~ (r4_analmetr(k6_analort(A, B, C), D, F, H, G)) ) ) ) )  &  ( (r4_analmetr(k6_analort(A, B, C), D, F, E, G) => r4_analmetr(k6_analort(A, B, C), F, D, G, E))  &  ( ( (r4_analmetr(k6_analort(A, B, C), D, F, E, G) & r4_analmetr(k6_analort(A, B, C), D, F, G, H))  => r4_analmetr(k6_analort(A, B, C), D, F, E, H))  &  ~ ( (r4_analmetr(k6_analort(A, B, C), D, E, F, G) &  ( ~ (r4_analmetr(k6_analort(A, B, C), F, G, D, E))  &  ~ (r4_analmetr(k6_analort(A, B, C), F, G, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(k6_analort(A, B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k6_analort(A, B, C))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k6_analort(A, B, C))) =>  (? [G] :  (m1_subset_1(G, u1_struct_0(k6_analort(A, B, C))) &  ( ~ (F=G)  & r4_analmetr(k6_analort(A, B, C), F, G, D, E)) ) ) ) ) ) ) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(k6_analort(A, B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k6_analort(A, B, C))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k6_analort(A, B, C))) =>  (? [G] :  (m1_subset_1(G, u1_struct_0(k6_analort(A, B, C))) &  ( ~ (F=G)  & r4_analmetr(k6_analort(A, B, C), D, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_dirort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_analmetr(A))  =>  (v1_dirort(A) <=>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r4_analmetr(A, B, B, D, F) &  (r4_analmetr(A, B, D, F, F) &  ( ~ ( (r4_analmetr(A, B, D, C, E) &  (r4_analmetr(A, B, D, E, C) &  ( ~ (B=D)  &  ~ (C=E) ) ) ) )  &  ( ~ ( (r4_analmetr(A, B, D, C, E) &  (r4_analmetr(A, B, D, C, F) &  ( ~ (r4_analmetr(A, B, D, E, F))  &  ~ (r4_analmetr(A, B, D, F, E)) ) ) ) )  &  ( (r4_analmetr(A, B, D, C, E) => r4_analmetr(A, D, B, E, C))  &  ( ( (r4_analmetr(A, B, D, C, E) & r4_analmetr(A, B, D, E, F))  => r4_analmetr(A, B, D, C, F))  &  ~ ( (r4_analmetr(A, B, C, D, E) &  ( ~ (r4_analmetr(A, D, E, B, C))  &  ~ (r4_analmetr(A, D, E, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  ( ~ (D=E)  & r4_analmetr(A, D, E, B, C)) ) ) ) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  ( ~ (D=E)  & r4_analmetr(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_dirort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_analmetr(A, B, C) =>  ( ~ (v2_struct_0(k6_analort(A, B, C)))  &  (v1_dirort(k6_analort(A, B, C)) & l1_analmetr(k6_analort(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t4_dirort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_analmetr(A, B, C) =>  ( ~ (v2_struct_0(k5_analort(A, B, C)))  &  (v1_dirort(k5_analort(A, B, C)) & l1_analmetr(k5_analort(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t5_dirort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_dirort(A) & l1_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (r4_analmetr(A, E, D, B, C) &  ~ (E=D) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_dirort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_dirort(A) & l1_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  ( ~ (B=E)  &  (r4_analmetr(A, C, D, B, E) | r4_analmetr(A, C, D, E, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_dirort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_dirort(A) & l1_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_dirort(A, B, C, D, E) <=>  (r4_analmetr(A, B, C, D, E) | r4_analmetr(A, B, C, E, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_dirort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_dirort(A) & l1_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_dirort(A, B, C, D, E) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  ( ~ (F=G)  &  (r4_analmetr(A, F, G, B, C) & r4_analmetr(A, F, G, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_dirort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_dirort(A) & l1_analmetr(A)) )  =>  (v2_dirort(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  ~ ( (r4_analmetr(A, B, C, E, F) &  (r4_analmetr(A, H, I, E, F) &  (r4_analmetr(A, H, I, D, G) &  ( ~ (H=I)  &  ( ~ (E=F)  &  ~ (r4_analmetr(A, B, C, D, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_dirort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_dirort(A) & l1_analmetr(A)) )  =>  (v3_dirort(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  ~ ( (r4_analmetr(A, B, C, E, F) &  (r4_analmetr(A, E, F, H, I) &  (r4_analmetr(A, D, G, H, I) &  ( ~ (H=I)  &  ( ~ (E=F)  &  ~ (r4_analmetr(A, B, C, D, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_dirort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_dirort(A) & l1_analmetr(A)) )  =>  (v4_dirort(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  ~ ( (r4_analmetr(A, B, C, E, F) &  (r4_analmetr(A, E, F, H, I) &  (r4_analmetr(A, B, C, D, G) &  ( ~ (B=C)  &  ( ~ (E=F)  &  ~ (r4_analmetr(A, D, G, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_dirort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_dirort(A) & l1_analmetr(A)) )  =>  (v5_dirort(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r4_analmetr(A, B, C, D, E) => r4_analmetr(A, D, E, C, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_dirort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_dirort(A) & l1_analmetr(A)) )  =>  (v6_dirort(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r4_analmetr(A, B, C, D, E) => r4_analmetr(A, D, E, B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_dirort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_dirort(A) & l1_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_dirort(A, B, C, D, D) & r2_dirort(A, D, D, B, C)) ) ) ) ) ) ) ) ) ).
fof(t8_dirort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_dirort(A) & l1_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_dirort(A, B, C, D, E) => r2_dirort(A, D, E, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_dirort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_dirort(A) & l1_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_dirort(A, B, C, D, E) => r2_dirort(A, C, B, E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_dirort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_dirort(A) & l1_analmetr(A)) )  =>  (v4_dirort(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_dirort(A, B, C, F, G) & r4_analmetr(A, B, C, D, E))  =>  (B=C | r4_analmetr(A, F, G, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_dirort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_dirort(A) & l1_analmetr(A)) )  =>  (v2_dirort(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r4_analmetr(A, B, C, E, F) & r2_dirort(A, E, F, D, G))  =>  (E=F | r4_analmetr(A, B, C, D, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_dirort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_dirort(A) & l1_analmetr(A)) )  =>  (v2_dirort(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_dirort(A, B, C, D, E) & r2_dirort(A, D, E, F, G))  =>  (D=E | r2_dirort(A, B, C, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_dirort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v1_dirort(D) & l1_analmetr(D)) )  =>  ( (r1_analmetr(A, B, C) & D=k5_analort(A, B, C))  =>  (v5_dirort(D) &  (v4_dirort(D) &  (v3_dirort(D) & v2_dirort(D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_dirort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v1_dirort(D) & l1_analmetr(D)) )  =>  ( (r1_analmetr(A, B, C) & D=k6_analort(A, B, C))  =>  (v6_dirort(D) &  (v4_dirort(D) &  (v3_dirort(D) & v2_dirort(D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_dirort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_dirort(A) & l1_analmetr(A)) )  =>  (v4_dirort(A) => v3_dirort(A)) ) ) ).
fof(t16_dirort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_dirort(A) & l1_analmetr(A)) )  =>  (v4_dirort(A) => v2_dirort(A)) ) ) ).
fof(t17_dirort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_dirort(A) & l1_analmetr(A)) )  =>  (v2_dirort(A) =>  (v3_dirort(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r4_analmetr(A, B, C, F, G) & r4_analmetr(A, D, E, F, G))  =>  (F=G | r2_dirort(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_dirort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_dirort(A) & l1_analmetr(A)) )  =>  (v3_dirort(A) =>  ( ( ~ (v5_dirort(A))  &  ~ (v6_dirort(A)) )  | v4_dirort(A)) ) ) ) ).
fof(fc1_dist_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) & m1_finseq_1(B, A))  =>  ~ (v1_xboole_0(k5_dist_1(A, B))) ) ) ).
fof(fc2_dist_1, axiom,  (! [A] :  (v1_finset_1(A) =>  ~ (v1_xboole_0(k6_dist_1(A))) ) ) ).
fof(fc3_dist_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (v1_funct_1(k7_dist_1(A)) &  (v2_funct_1(k7_dist_1(A)) & v1_funct_2(k7_dist_1(A), k6_dist_1(A), k3_finseq_2(k1_numbers))) ) ) ) ).
fof(fc4_dist_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  ( ~ (v1_xboole_0(B))  & m1_finseq_1(B, A)) )  => v1_matrprob(k4_dist_1(A, B))) ) ).
fof(fc5_dist_1, axiom,  (! [A] :  (v1_finset_1(A) => v1_dist_1(k19_finseq_1(A), A)) ) ).
fof(rc1_dist_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (? [B] :  (m1_dist_1(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k1_numbers) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v3_funct_1(B) &  (v1_finset_1(B) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) &  (v4_partfun3(B) & v1_matrprob(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc6_dist_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  => v3_funct_1(k11_dist_1(A))) ) ).
fof(d1_dist_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] : k2_dist_1(A, B, C)=k4_card_1(k1_dist_1(A, B, C))) ) ) ) ) ).
fof(t2_dist_1, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  ~ ( (r2_tarski(C, k9_xtuple_0(B)) &  (! [D] :  (m1_subset_1(D, A) =>  ~ (r2_tarski(C, k1_dist_1(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(d2_dist_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] : k3_dist_1(A, B, C)=k7_xcmplx_0(k2_dist_1(A, B, C), k3_finseq_1(B))) ) ) ) ) ).
fof(t4_dist_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] : k2_dist_1(A, B, C)=k3_xcmplx_0(k3_finseq_1(B), k3_dist_1(A, B, C))) ) ) ) ) ).
fof(d3_dist_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  (C=k4_dist_1(A, B) <=>  (k4_finseq_1(C)=k2_finseq_1(k4_card_1(A)) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(C)) => k1_funct_1(C, D)=k3_dist_1(A, B, k1_funct_1(k20_finseq_1(A), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_dist_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] : k3_dist_1(A, B, C)=k1_rpr_1(k9_xtuple_0(B), k1_dist_1(A, B, C))) ) ) ) ) ).
fof(d4_dist_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r1_dist_1(A, B, C) <=>  (! [D] : k3_dist_1(A, B, D)=k3_dist_1(A, C, D)) ) ) ) ) ) ) ) ).
fof(t6_dist_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  ( (r1_dist_1(A, B, C) & r1_dist_1(A, C, D))  => r1_dist_1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t7_dist_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r1_dist_1(A, B, C) <=> r2_tarski(C, k5_dist_1(A, B))) ) ) ) ) ) ) ).
fof(t8_dist_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, A) => r2_tarski(B, k5_dist_1(A, B))) ) ) ) ).
fof(t9_dist_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r1_dist_1(A, B, C) <=> k5_dist_1(A, B)=k5_dist_1(A, C)) ) ) ) ) ) ) ).
fof(d6_dist_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(k3_finseq_2(A)))) =>  (B=k6_dist_1(A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_finseq_2(A))) =>  (r2_tarski(C, B) <=>  (? [D] :  (m2_finseq_1(D, A) & C=k5_dist_1(A, D)) ) ) ) ) ) ) ) ) ) ).
fof(t10_dist_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r1_dist_1(A, B, C) <=> k4_dist_1(A, B)=k4_dist_1(A, C)) ) ) ) ) ) ) ).
fof(t11_dist_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r2_tarski(C, k5_dist_1(A, B)) => k4_dist_1(A, B)=k4_dist_1(A, C)) ) ) ) ) ) ) ).
fof(d7_dist_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k6_dist_1(A), k3_finseq_2(k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k6_dist_1(A), k3_finseq_2(k1_numbers))))) )  =>  (B=k7_dist_1(A) <=>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k3_finseq_2(A)), k6_dist_1(A)) =>  (? [D] :  (m2_finseq_1(D, A) &  (r2_tarski(D, C) & k3_funct_2(k6_dist_1(A), k3_finseq_2(k1_numbers), B, C)=k4_dist_1(A, D)) ) ) ) ) ) ) ) ) ) ).
fof(t12_dist_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, A) => k1_funct_1(k7_dist_1(A), k5_dist_1(A, B))=k4_dist_1(A, B)) ) ) ) ).
fof(d8_dist_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  ( (v1_matrprob(B) & m2_finseq_1(B, k1_numbers))  =>  ( (? [C] :  (m2_finseq_1(C, A) & k4_dist_1(A, C)=B) )  =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k3_finseq_2(A)), k6_dist_1(A)) =>  (C=k8_dist_1(A, B) <=> k3_funct_2(k6_dist_1(A), k3_finseq_2(k1_numbers), k7_dist_1(A), C)=B) ) ) ) ) ) ) ) ).
fof(d9_dist_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (C=k9_dist_1(A, B) <=>  (k4_finseq_1(C)=k2_finseq_1(k4_card_1(A)) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(C)) => k1_funct_1(C, D)=k3_xcmplx_0(k3_finseq_1(B), k1_funct_1(k4_dist_1(A, B), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_dist_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, A))  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(C, k2_finseq_1(k4_card_1(A))) &  (! [D] :  (m1_subset_1(D, A) =>  ~ ( (k1_funct_1(k9_dist_1(A, B), C)=k2_dist_1(A, B, D) & D=k1_funct_1(k20_finseq_1(A), C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_dist_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, A) => k9_dist_1(A, B)=k10_rvsum_1(k4_dist_1(A, B), k3_finseq_1(B))) ) ) ) ).
fof(t15_dist_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, A) => k16_rvsum_1(k9_dist_1(A, B))=k3_xcmplx_0(k3_finseq_1(B), k18_rvsum_1(k4_dist_1(A, B)))) ) ) ) ).
fof(t16_dist_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, A))  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(C, k4_finseq_1(B)) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (k1_funct_1(k9_dist_1(A, B), D)=k2_dist_1(A, B, k1_funct_1(B, C)) & k1_funct_1(B, C)=k1_funct_1(k20_finseq_1(A), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_dist_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  ( (v1_prob_2(A) &  (k9_xtuple_0(A)=k4_finseq_1(B) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k9_xtuple_0(A)) =>  (v1_finset_1(k1_funct_1(A, C)) & k1_funct_1(B, C)=k1_card_1(k1_funct_1(A, C))) ) ) ) ) )  =>  (v1_finset_1(k3_card_3(A)) & k1_card_1(k3_card_3(A))=k16_rvsum_1(B)) ) ) ) ) ) ).
fof(t18_dist_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, A))  => k16_rvsum_1(k9_dist_1(A, B))=k3_finseq_1(B)) ) ) ) ).
fof(t19_dist_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, A))  => k18_rvsum_1(k4_dist_1(A, B))=1) ) ) ) ).
fof(d10_dist_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_matrprob(B) & m2_finseq_1(B, k1_numbers))  =>  (m1_dist_1(B, A) <=>  (k3_finseq_1(B)=k4_card_1(A) &  (? [C] :  (m2_finseq_1(C, A) & k4_dist_1(A, C)=B) ) ) ) ) ) ) ) ).
fof(t20_dist_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m1_dist_1(B, A) =>  (m2_subset_1(k8_dist_1(A, B), k1_zfmisc_1(k3_finseq_2(A)), k6_dist_1(A)) & k3_funct_2(k6_dist_1(A), k3_finseq_2(k1_numbers), k7_dist_1(A), k8_dist_1(A, B))=B) ) ) ) ) ).
fof(d11_dist_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, A) =>  (v1_dist_1(B, A) <=>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(k4_dist_1(A, B))) => k1_funct_1(k4_dist_1(A, B), C)=k7_xcmplx_0(1, k4_card_1(A))) ) ) ) ) ) ) ) ).
fof(t21_dist_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, A) =>  (v1_dist_1(B, A) => v3_funct_1(k4_dist_1(A, B))) ) ) ) ) ).
fof(t22_dist_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  ( (v1_dist_1(B, A) & r1_dist_1(A, B, C))  => v1_dist_1(C, A)) ) ) ) ) ) ) ).
fof(t23_dist_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  ( (v1_dist_1(B, A) & v1_dist_1(C, A))  => r1_dist_1(A, B, C)) ) ) ) ) ) ) ).
fof(d12_dist_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k3_finseq_2(A)), k6_dist_1(A)) =>  (B=k10_dist_1(A) <=>  (! [C] :  (m2_finseq_1(C, A) =>  (r2_tarski(C, B) <=> v1_dist_1(C, A)) ) ) ) ) ) ) ) ).
fof(d13_dist_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  => k11_dist_1(A)=k4_dist_1(A, k20_finseq_1(A))) ) ).
fof(t24_dist_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  => k10_dist_1(A)=k8_dist_1(A, k11_dist_1(A))) ) ).
fof(dt_k1_dist_1, axiom,  (! [A, B, C] :  (m1_finseq_1(B, A) => m1_subset_1(k1_dist_1(A, B, C), k1_zfmisc_1(k9_xtuple_0(B)))) ) ).
fof(redefinition_k1_dist_1, axiom,  (! [A, B, C] :  (m1_finseq_1(B, A) => k1_dist_1(A, B, C)=k10_relat_1(B, C)) ) ).
fof(dt_k2_dist_1, axiom,  (! [A, B, C] :  ( (v1_finset_1(A) & m1_finseq_1(B, A))  => v7_ordinal1(k2_dist_1(A, B, C))) ) ).
fof(dt_k3_dist_1, axiom,  (! [A, B, C] :  ( (v1_finset_1(A) & m1_finseq_1(B, A))  => v1_xreal_0(k3_dist_1(A, B, C))) ) ).
fof(dt_k4_dist_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) & m1_finseq_1(B, A))  => m2_finseq_1(k4_dist_1(A, B), k1_numbers)) ) ).
fof(symmetry_r1_dist_1, axiom,  (! [A, B, C] :  ( (v1_finset_1(A) &  (m1_finseq_1(B, A) & m1_finseq_1(C, A)) )  =>  (r1_dist_1(A, B, C) => r1_dist_1(A, C, B)) ) ) ).
fof(reflexivity_r1_dist_1, axiom,  (! [A, B, C] :  ( (v1_finset_1(A) &  (m1_finseq_1(B, A) & m1_finseq_1(C, A)) )  => r1_dist_1(A, B, B)) ) ).
fof(dt_k5_dist_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) & m1_finseq_1(B, A))  => m1_subset_1(k5_dist_1(A, B), k1_zfmisc_1(k3_finseq_2(A)))) ) ).
fof(dt_k6_dist_1, axiom,  (! [A] :  (v1_finset_1(A) => m1_subset_1(k6_dist_1(A), k1_zfmisc_1(k1_zfmisc_1(k3_finseq_2(A))))) ) ).
fof(dt_k7_dist_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (v1_funct_1(k7_dist_1(A)) &  (v1_funct_2(k7_dist_1(A), k6_dist_1(A), k3_finseq_2(k1_numbers)) & m1_subset_1(k7_dist_1(A), k1_zfmisc_1(k2_zfmisc_1(k6_dist_1(A), k3_finseq_2(k1_numbers))))) ) ) ) ).
fof(dt_k8_dist_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) &  (v1_matrprob(B) & m1_finseq_1(B, k1_numbers)) )  => m2_subset_1(k8_dist_1(A, B), k1_zfmisc_1(k3_finseq_2(A)), k6_dist_1(A))) ) ).
fof(dt_k9_dist_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) & m1_finseq_1(B, A))  => m2_finseq_1(k9_dist_1(A, B), k4_ordinal1)) ) ).
fof(dt_m1_dist_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m1_dist_1(B, A) =>  (v1_matrprob(B) & m2_finseq_1(B, k1_numbers)) ) ) ) ) ).
fof(existence_m1_dist_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (? [B] : m1_dist_1(B, A)) ) ) ).
fof(dt_k10_dist_1, axiom,  (! [A] :  (v1_finset_1(A) => m2_subset_1(k10_dist_1(A), k1_zfmisc_1(k3_finseq_2(A)), k6_dist_1(A))) ) ).
fof(dt_k11_dist_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  => m1_dist_1(k11_dist_1(A), A)) ) ).
fof(d5_dist_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, A) => k5_dist_1(A, B)=a_2_0_dist_1(A, B)) ) ) ) ).
fof(fraenkel_a_2_0_dist_1, axiom,  (! [A, B, C] :  ( (v1_finset_1(B) & m2_finseq_1(C, B))  =>  (r2_hidden(A, a_2_0_dist_1(B, C)) <=>  (? [D] :  (m2_finseq_1(D, B) &  (A=D & r1_dist_1(B, C, D)) ) ) ) ) ) ).
fof(cc1_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m1_subset_1(B, k6_dist_1(A)) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(rc1_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (? [B] :  (m1_subset_1(B, k6_dist_1(A)) &  ( ~ (v1_xboole_0(B))  & v1_setfam_1(B)) ) ) ) ) ).
fof(fc1_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  => v1_setfam_1(k10_dist_1(A))) ) ).
fof(t1_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  ( (A=k6_domain_1(k4_ordinal1, 1) & B=k2_matrprob(1))  => k4_dist_1(A, B)=k2_matrprob(1)) ) ) ) ) ).
fof(t2_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m1_dist_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (k4_dist_1(A, C)=B =>  (k8_dist_1(A, B)=k5_dist_1(A, C) & r2_tarski(C, k8_dist_1(A, B))) ) ) ) ) ) ) ) ).
fof(t3_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (r2_tarski(B, k2_relset_1(A, k20_finseq_1(A))) &  (? [C] :  (v7_ordinal1(C) &  (r2_tarski(C, k4_finseq_1(k20_finseq_1(A))) &  (B=k1_funct_1(k20_finseq_1(A), C) & r2_tarski(C, k2_finseq_1(k4_card_1(A)))) ) ) ) ) ) ) ) ) ).
fof(t4_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k3_finseq_2(A)), k6_dist_1(A)) =>  (! [C] :  (m1_dist_2(C, A, B) =>  (! [D] :  (m1_dist_2(D, A, B) => r1_dist_1(A, C, D)) ) ) ) ) ) ) ) ).
fof(t5_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  ( (! [C] : k3_dist_1(A, B, C)=k5_numbers)  <=> v1_xboole_0(B)) ) ) ) ) ).
fof(t6_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k3_finseq_2(A)), k6_dist_1(A)) =>  ( ~ (v1_setfam_1(B))  <=> B=k6_domain_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)), k6_finseq_1(A))) ) ) ) ) ).
fof(t7_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_setfam_1(B) & m2_subset_1(B, k1_zfmisc_1(k3_finseq_2(A)), k6_dist_1(A)))  => m1_dist_1(k3_funct_2(k6_dist_1(A), k3_finseq_2(k1_numbers), k7_dist_1(A), B), A)) ) ) ) ).
fof(d1_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m1_subset_1(B, A) => k1_dist_2(A, B)=k4_finseq_4(k20_finseq_1(A), B)) ) ) ) ).
fof(d2_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_setfam_1(B) & m2_subset_1(B, k1_zfmisc_1(k3_finseq_2(A)), k6_dist_1(A)))  => k2_dist_2(A, B)=k3_funct_2(k6_dist_1(A), k3_finseq_2(k1_numbers), k7_dist_1(A), B)) ) ) ) ).
fof(d3_dist_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k5_margrel1) & v1_funct_1(A)) )  => k3_dist_2(A)=k8_relat_1(A, k6_domain_1(k5_margrel1, k7_margrel1))) ) ).
fof(t8_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => m1_subset_1(k3_dist_2(k3_relat_1(B, C)), k1_zfmisc_1(k9_xtuple_0(B)))) ) ) ) ) ) ).
fof(d4_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_setfam_1(B) & m2_subset_1(B, k1_zfmisc_1(k3_finseq_2(A)), k6_dist_1(A)))  =>  (! [C] :  (m1_dist_2(C, A, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => k4_dist_2(A, B, C, D)=k7_xcmplx_0(k4_card_1(k3_dist_2(k1_partfun1(k4_ordinal1, A, A, k5_margrel1, C, D))), k3_finseq_1(C))) ) ) ) ) ) ) ) ).
fof(t9_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_setfam_1(B) & m2_subset_1(B, k1_zfmisc_1(k3_finseq_2(A)), k6_dist_1(A)))  =>  (! [C] :  (m1_dist_2(C, A, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & v1_finset_1(E))  =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(E)) =>  ( (E=k4_finseq_1(C) & F=k3_dist_2(k1_partfun1(k4_ordinal1, A, A, k5_margrel1, C, D)))  => k4_dist_2(A, B, C, D)=k1_rpr_1(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_setfam_1(B) & m2_subset_1(B, k1_zfmisc_1(k3_finseq_2(A)), k6_dist_1(A)))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_dist_2(D, A, B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  ( (! [F] :  (F=C <=> k1_funct_1(E, F)=k7_margrel1) )  => k4_dist_2(A, B, D, E)=k3_dist_1(A, D, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_dist_2, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k4_finseq_1(B))) => k5_dist_2(A, B, C)=k1_partfun1(k4_ordinal1, C, k4_ordinal1, A, k20_finseq_1(C), B)) ) ) ) ) ).
fof(t11_dist_2, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k4_finseq_1(B))) =>  (k3_finseq_1(k5_dist_2(A, B, C))=k4_card_1(C) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(k5_dist_2(A, B, C))) => k1_funct_1(k5_dist_2(A, B, C), D)=k1_funct_1(B, k1_funct_1(k20_finseq_1(C), D))) ) ) ) ) ) ) ) ) ).
fof(t12_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k4_finseq_1(B))) =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (D=k20_finseq_1(C) => k3_relat_1(k2_funct_1(D), k5_dist_2(A, B, C))=k2_partfun1(k4_ordinal1, A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t13_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  (r2_tarski(D, k9_xtuple_0(B)) =>  (r2_tarski(D, k3_dist_2(k3_relat_1(B, C))) <=> r2_tarski(k1_funct_1(B, D), k3_dist_2(C))) ) ) ) ) ) ) ) ) ).
fof(t14_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => k3_dist_2(k3_relat_1(B, C))=k8_relat_1(B, k3_dist_2(C))) ) ) ) ) ) ).
fof(t15_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_setfam_1(B) & m2_subset_1(B, k1_zfmisc_1(k3_finseq_2(A)), k6_dist_1(A)))  =>  (! [C] :  (m1_dist_2(C, A, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(k4_finseq_1(k9_dist_1(A, C)))) &  (E=k3_dist_2(k1_partfun1(k4_ordinal1, A, A, k5_margrel1, k20_finseq_1(A), D)) & k4_card_1(k3_dist_2(k1_partfun1(k4_ordinal1, A, A, k5_margrel1, C, D)))=k16_rvsum_1(k5_dist_2(k4_ordinal1, k9_dist_1(A, C), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_setfam_1(B) & m2_subset_1(B, k1_zfmisc_1(k3_finseq_2(A)), k6_dist_1(A)))  =>  (! [C] :  (m1_dist_2(C, A, B) => k9_dist_1(A, C)=k26_valued_1(k4_ordinal1, k1_numbers, k4_dist_1(A, C), k3_finseq_1(C))) ) ) ) ) ) ).
fof(t17_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_setfam_1(B) & m2_subset_1(B, k1_zfmisc_1(k3_finseq_2(A)), k6_dist_1(A)))  =>  (! [C] :  (m1_dist_2(C, A, B) =>  (! [D] :  (m1_dist_2(D, A, B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => k4_dist_2(A, B, C, E)=k4_dist_2(A, B, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(d6_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_setfam_1(B) & m2_subset_1(B, k1_zfmisc_1(k3_finseq_2(A)), k6_dist_1(A)))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  (v1_xreal_0(D) =>  (D=k6_dist_2(A, B, C) <=>  (! [E] :  (m1_dist_2(E, A, B) => D=k4_dist_2(A, B, E, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m2_finseq_2(B, A, k3_finseq_2(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r2_tarski(k10_relat_1(k1_partfun1(k4_ordinal1, A, A, k5_margrel1, B, C), k7_margrel1), k9_setfam_1(k4_finseq_1(B)))) ) ) ) ) ) ).
fof(d7_dist_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k7_dist_2(A, B)=k5_funct_3(B, A)) ) ) ).
fof(t19_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  & k10_relat_1(C, k7_margrel1)=B) ) ) ) ) ) ).
fof(t20_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m2_finseq_2(B, A, k3_finseq_2(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, k4_finseq_1(B)) &  (v4_prob_1(D, k4_finseq_1(B)) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(k4_finseq_1(B))))) ) )  =>  (D=k9_setfam_1(k4_finseq_1(B)) => m1_prob_1(k10_relat_1(k1_partfun1(k4_ordinal1, A, A, k5_margrel1, B, C), k7_margrel1), k4_finseq_1(B), D)) ) ) ) ) ) ) ) ) ).
fof(t21_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m2_finseq_2(B, A, k3_finseq_2(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => k10_relat_1(k1_partfun1(k4_ordinal1, A, A, k5_margrel1, B, k5_bvfunc_1(A, C, D)), k7_margrel1)=k2_xboole_0(k10_relat_1(k1_partfun1(k4_ordinal1, A, A, k5_margrel1, B, C), k7_margrel1), k10_relat_1(k1_partfun1(k4_ordinal1, A, A, k5_margrel1, B, D), k7_margrel1))) ) ) ) ) ) ) ) ).
fof(t22_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m2_finseq_2(B, A, k3_finseq_2(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => k10_relat_1(k1_partfun1(k4_ordinal1, A, A, k5_margrel1, B, k2_bvfunc_1(A, C, D)), k7_margrel1)=k3_xboole_0(k10_relat_1(k1_partfun1(k4_ordinal1, A, A, k5_margrel1, B, C), k7_margrel1), k10_relat_1(k1_partfun1(k4_ordinal1, A, A, k5_margrel1, B, D), k7_margrel1))) ) ) ) ) ) ) ) ).
fof(t23_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m2_finseq_2(B, A, k3_finseq_2(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => k10_relat_1(k1_partfun1(k4_ordinal1, A, A, k5_margrel1, B, k1_bvfunc_1(A, C)), k7_margrel1)=k7_subset_1(k4_ordinal1, k4_finseq_1(B), k10_relat_1(k1_partfun1(k4_ordinal1, A, A, k5_margrel1, B, C), k7_margrel1))) ) ) ) ) ) ).
fof(t24_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_setfam_1(B) & m2_subset_1(B, k1_zfmisc_1(k3_finseq_2(A)), k6_dist_1(A)))  =>  (! [C] :  (m1_dist_2(C, A, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => k4_dist_2(A, B, C, k5_bvfunc_1(A, D, E))=k7_xcmplx_0(k4_card_1(k2_xboole_0(k3_dist_2(k1_partfun1(k4_ordinal1, A, A, k5_margrel1, C, D)), k3_dist_2(k1_partfun1(k4_ordinal1, A, A, k5_margrel1, C, E)))), k3_finseq_1(C))) ) ) ) ) ) ) ) ) ) ).
fof(t25_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_setfam_1(B) & m2_subset_1(B, k1_zfmisc_1(k3_finseq_2(A)), k6_dist_1(A)))  =>  (! [C] :  (m1_dist_2(C, A, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => k4_dist_2(A, B, C, k2_bvfunc_1(A, D, E))=k7_xcmplx_0(k4_card_1(k9_subset_1(k9_xtuple_0(k1_partfun1(k4_ordinal1, A, A, k5_margrel1, C, E)), k3_dist_2(k1_partfun1(k4_ordinal1, A, A, k5_margrel1, C, D)), k3_dist_2(k1_partfun1(k4_ordinal1, A, A, k5_margrel1, C, E)))), k3_finseq_1(C))) ) ) ) ) ) ) ) ) ) ).
fof(t26_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_setfam_1(B) & m2_subset_1(B, k1_zfmisc_1(k3_finseq_2(A)), k6_dist_1(A)))  =>  (! [C] :  (m1_dist_2(C, A, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => k4_dist_2(A, B, C, k1_bvfunc_1(A, D))=k6_xcmplx_0(1, k4_dist_2(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t27_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_setfam_1(B) & m2_subset_1(B, k1_zfmisc_1(k3_finseq_2(A)), k6_dist_1(A)))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => k6_dist_2(A, B, k5_bvfunc_1(A, C, D))=k6_xcmplx_0(k2_xcmplx_0(k6_dist_2(A, B, C), k6_dist_2(A, B, D)), k6_dist_2(A, B, k2_bvfunc_1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t28_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_setfam_1(B) & m2_subset_1(B, k1_zfmisc_1(k3_finseq_2(A)), k6_dist_1(A)))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => k6_dist_2(A, B, k1_bvfunc_1(A, C))=k6_xcmplx_0(1, k6_dist_2(A, B, C))) ) ) ) ) ) ).
fof(t29_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_setfam_1(B) & m2_subset_1(B, k1_zfmisc_1(k3_finseq_2(A)), k6_dist_1(A)))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r1_funct_2(A, k5_margrel1, A, k2_tarski(k5_ordinal1, 1), C, k5_funct_3(A, A)) => k6_dist_2(A, B, C)=1) ) ) ) ) ) ) ).
fof(t30_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_setfam_1(B) & m2_subset_1(B, k1_zfmisc_1(k3_finseq_2(A)), k6_dist_1(A)))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r1_xxreal_0(k5_numbers, k6_dist_2(A, B, C))) ) ) ) ) ) ).
fof(t31_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  ( (r1_tarski(B, A) &  (r1_tarski(C, A) &  (r1_funct_2(A, k5_margrel1, A, k2_tarski(k5_ordinal1, 1), D, k5_funct_3(B, A)) & r1_funct_2(A, k5_margrel1, A, k2_tarski(k5_ordinal1, 1), E, k5_funct_3(C, A))) ) )  => r1_funct_2(A, k2_tarski(k5_ordinal1, 1), A, k5_margrel1, k5_funct_3(k2_xboole_0(B, C), A), k5_bvfunc_1(A, D, E))) ) ) ) ) ) ) ) ) ).
fof(t32_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_setfam_1(B) & m2_subset_1(B, k1_zfmisc_1(k3_finseq_2(A)), k6_dist_1(A)))  =>  (! [C] :  (! [D] :  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, k5_margrel1) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  ( (r1_tarski(C, A) &  (r1_tarski(D, A) &  (r1_xboole_0(C, D) &  (r1_funct_2(A, k5_margrel1, A, k2_tarski(k5_ordinal1, 1), E, k5_funct_3(C, A)) & r1_funct_2(A, k5_margrel1, A, k2_tarski(k5_ordinal1, 1), F, k5_funct_3(D, A))) ) ) )  => k6_dist_2(A, B, k2_bvfunc_1(A, E, F))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_setfam_1(B) & m2_subset_1(B, k1_zfmisc_1(k3_finseq_2(A)), k6_dist_1(A)))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k9_funct_2(A, k5_margrel1), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, k5_margrel1), k1_numbers)))) )  =>  (m2_dist_2(C, A, B) <=>  (! [D] :  (m2_funct_2(D, A, k5_margrel1, k9_funct_2(A, k5_margrel1)) => k3_funct_2(k9_funct_2(A, k5_margrel1), k1_numbers, C, D)=k6_dist_2(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d9_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_setfam_1(B) & m2_subset_1(B, k1_zfmisc_1(k3_finseq_2(A)), k6_dist_1(A)))  =>  (! [C] :  (m2_prob_1(C, A, k1_random_1(A)) =>  (C=k8_dist_2(A, B) <=>  (! [D] :  ~ ( (r2_tarski(D, k1_random_1(A)) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  ~ ( (r1_funct_2(A, k5_margrel1, A, k2_tarski(k5_ordinal1, 1), E, k5_funct_3(D, A)) & k1_funct_1(C, D)=k6_dist_2(A, B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_setfam_1(B) & m2_subset_1(B, k1_zfmisc_1(k3_finseq_2(A)), k6_dist_1(A)))  =>  (! [C] :  (m1_subset_1(C, A) =>  (m3_dist_2(C, A, B) <=>  (? [D] :  (m1_dist_2(D, A, B) & r2_tarski(C, k2_relset_1(A, D))) ) ) ) ) ) ) ) ) ).
fof(d11_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_setfam_1(B) & m2_subset_1(B, k1_zfmisc_1(k3_finseq_2(A)), k6_dist_1(A)))  =>  (! [C] :  (m3_dist_2(C, A, B) => k9_dist_2(A, B, C)=k6_dist_2(A, B, k7_dist_2(A, k6_domain_1(A, C)))) ) ) ) ) ) ).
fof(t33_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_setfam_1(B) & m2_subset_1(B, k1_zfmisc_1(k3_finseq_2(A)), k6_dist_1(A)))  =>  (! [C] :  (m3_dist_2(C, A, B) => k9_dist_2(A, B, C)=k1_funct_1(k2_dist_2(A, B), k1_dist_2(A, C))) ) ) ) ) ) ).
fof(d12_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_setfam_1(B) & m2_subset_1(B, k1_zfmisc_1(k3_finseq_2(A)), k6_dist_1(A)))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(A)))  =>  (m4_dist_2(C, A, B) <=>  (? [D] :  (m3_dist_2(D, A, B) & r2_tarski(D, C)) ) ) ) ) ) ) ) ) ).
fof(d13_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_setfam_1(B) & m2_subset_1(B, k1_zfmisc_1(k3_finseq_2(A)), k6_dist_1(A)))  =>  (! [C] :  (m4_dist_2(C, A, B) => k10_dist_2(A, B, C)=k6_dist_2(A, B, k7_dist_2(A, C))) ) ) ) ) ) ).
fof(t34_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k4_finseq_1(C))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(B)) =>  ( (E=k8_relset_1(k4_ordinal1, A, C, B) & D=k5_dist_2(A, C, E))  => k4_card_1(k8_relset_1(k4_ordinal1, A, C, F))=k4_card_1(k8_relset_1(k4_ordinal1, A, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k4_finseq_1(C))) =>  (! [F] :  ( (E=k8_relset_1(k4_ordinal1, A, C, B) &  (D=k5_dist_2(A, C, E) & r2_tarski(F, B)) )  => k2_dist_1(A, C, F)=k2_dist_1(A, D, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k3_finseq_2(A)), k6_dist_1(A)) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r2_tarski(C, B) => B=k5_dist_1(A, C)) ) ) ) ) ) ) ).
fof(t37_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m2_finseq_1(C, A) => k8_relset_1(k4_ordinal1, A, C, B)=k3_dist_2(k1_partfun1(k4_ordinal1, A, A, k5_margrel1, C, k7_dist_2(A, B)))) ) ) ) ) ) ).
fof(t38_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A)))  =>  (! [C] :  ( (v1_setfam_1(C) & m2_subset_1(C, k1_zfmisc_1(k3_finseq_2(A)), k6_dist_1(A)))  =>  (! [D] :  (m1_dist_2(D, A, C) =>  (! [E] :  (m1_dist_2(E, A, C) =>  (! [F] :  (m2_finseq_1(F, A) =>  (! [G] :  (m2_finseq_1(G, A) =>  (! [H] :  (m1_subset_1(H, k1_zfmisc_1(k4_finseq_1(D))) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(k4_finseq_1(E))) =>  ( (H=k8_relset_1(k4_ordinal1, A, D, B) &  (F=k5_dist_2(A, D, H) &  (I=k8_relset_1(k4_ordinal1, A, E, B) & G=k5_dist_2(A, E, I)) ) )  => r1_dist_1(A, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_setfam_1(B) & m2_subset_1(B, k1_zfmisc_1(k3_finseq_2(A)), k6_dist_1(A)))  =>  (! [C] :  (m4_dist_2(C, A, B) =>  (! [D] :  ( (v1_setfam_1(D) & m2_subset_1(D, k1_zfmisc_1(k3_finseq_2(A)), k6_dist_1(A)))  =>  (D=k11_dist_2(A, B, C) <=>  (? [E] :  (m1_dist_2(E, A, B) &  (? [F] :  (m2_finseq_1(F, A) &  (? [G] :  (m1_subset_1(G, k1_zfmisc_1(k4_finseq_1(E))) &  (G=k8_relset_1(k4_ordinal1, A, E, C) &  (F=k5_dist_2(A, E, G) & r2_tarski(F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_setfam_1(B) & m2_subset_1(B, k1_zfmisc_1(k3_finseq_2(A)), k6_dist_1(A)))  =>  (! [C] :  (m4_dist_2(C, A, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => k12_dist_2(A, B, C, D)=k6_dist_2(A, k11_dist_2(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t39_dist_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_setfam_1(B) & m2_subset_1(B, k1_zfmisc_1(k3_finseq_2(A)), k6_dist_1(A)))  =>  (! [C] :  (m4_dist_2(C, A, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => k3_xcmplx_0(k12_dist_2(A, B, C, D), k10_dist_2(A, B, C))=k6_dist_2(A, B, k2_bvfunc_1(A, D, k7_dist_2(A, C)))) ) ) ) ) ) ) ) ).
fof(dt_m1_dist_2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  & m1_subset_1(B, k6_dist_1(A)))  =>  (! [C] :  (m1_dist_2(C, A, B) => m2_finseq_1(C, A)) ) ) ) ).
fof(existence_m1_dist_2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  & m1_subset_1(B, k6_dist_1(A)))  =>  (? [C] : m1_dist_2(C, A, B)) ) ) ).
fof(redefinition_m1_dist_2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  & m1_subset_1(B, k6_dist_1(A)))  =>  (! [C] :  (m1_dist_2(C, A, B) <=> m1_subset_1(C, B)) ) ) ) ).
fof(dt_k1_dist_2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  & m1_subset_1(B, A))  => m1_subset_1(k1_dist_2(A, B), k4_ordinal1)) ) ).
fof(dt_k2_dist_2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  (v1_setfam_1(B) & m1_subset_1(B, k6_dist_1(A))) )  => m1_dist_1(k2_dist_2(A, B), A)) ) ).
fof(dt_k3_dist_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k5_margrel1) & v1_funct_1(A)) )  => m1_subset_1(k3_dist_2(A), k1_zfmisc_1(k9_xtuple_0(A)))) ) ).
fof(dt_k4_dist_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  ( (v1_setfam_1(B) & m1_subset_1(B, k6_dist_1(A)))  &  (m1_subset_1(C, B) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ) )  => v1_xreal_0(k4_dist_2(A, B, C, D))) ) ).
fof(dt_k5_dist_2, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, A) & m1_subset_1(C, k1_zfmisc_1(k4_finseq_1(B))))  => m2_finseq_1(k5_dist_2(A, B, C), A)) ) ).
fof(dt_k6_dist_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  ( (v1_setfam_1(B) & m1_subset_1(B, k6_dist_1(A)))  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  => v1_xreal_0(k6_dist_2(A, B, C))) ) ).
fof(dt_k7_dist_2, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (v1_funct_1(k7_dist_2(A, B)) &  (v1_funct_2(k7_dist_2(A, B), A, k5_margrel1) & m1_subset_1(k7_dist_2(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ) ).
fof(dt_m2_dist_2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  (v1_setfam_1(B) & m1_subset_1(B, k6_dist_1(A))) )  =>  (! [C] :  (m2_dist_2(C, A, B) =>  (v1_funct_1(C) &  (v1_funct_2(C, k9_funct_2(A, k5_margrel1), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, k5_margrel1), k1_numbers)))) ) ) ) ) ) ).
fof(existence_m2_dist_2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  (v1_setfam_1(B) & m1_subset_1(B, k6_dist_1(A))) )  =>  (? [C] : m2_dist_2(C, A, B)) ) ) ).
fof(dt_k8_dist_2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  (v1_setfam_1(B) & m1_subset_1(B, k6_dist_1(A))) )  => m2_prob_1(k8_dist_2(A, B), A, k1_random_1(A))) ) ).
fof(dt_m3_dist_2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  (v1_setfam_1(B) & m1_subset_1(B, k6_dist_1(A))) )  =>  (! [C] :  (m3_dist_2(C, A, B) => m1_subset_1(C, A)) ) ) ) ).
fof(existence_m3_dist_2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  (v1_setfam_1(B) & m1_subset_1(B, k6_dist_1(A))) )  =>  (? [C] : m3_dist_2(C, A, B)) ) ) ).
fof(dt_k9_dist_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  ( (v1_setfam_1(B) & m1_subset_1(B, k6_dist_1(A)))  & m3_dist_2(C, A, B)) )  => v1_xreal_0(k9_dist_2(A, B, C))) ) ).
fof(dt_m4_dist_2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  (v1_setfam_1(B) & m1_subset_1(B, k6_dist_1(A))) )  =>  (! [C] :  (m4_dist_2(C, A, B) =>  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(A))) ) ) ) ) ).
fof(existence_m4_dist_2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  (v1_setfam_1(B) & m1_subset_1(B, k6_dist_1(A))) )  =>  (? [C] : m4_dist_2(C, A, B)) ) ) ).
fof(dt_k10_dist_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  ( (v1_setfam_1(B) & m1_subset_1(B, k6_dist_1(A)))  & m4_dist_2(C, A, B)) )  => v1_xreal_0(k10_dist_2(A, B, C))) ) ).
fof(dt_k11_dist_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  ( (v1_setfam_1(B) & m1_subset_1(B, k6_dist_1(A)))  & m4_dist_2(C, A, B)) )  =>  (v1_setfam_1(k11_dist_2(A, B, C)) & m2_subset_1(k11_dist_2(A, B, C), k1_zfmisc_1(k3_finseq_2(A)), k6_dist_1(A))) ) ) ).
fof(dt_k12_dist_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  ( (v1_setfam_1(B) & m1_subset_1(B, k6_dist_1(A)))  &  (m4_dist_2(C, A, B) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ) )  => v1_xreal_0(k12_dist_2(A, B, C, D))) ) ).
fof(rc1_domain_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_xboole_0(B))  & v6_ordinal1(B)) ) ) ) ) ).
fof(t1_domain_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  ~ ( (r2_tarski(A, k2_zfmisc_1(B, C)) &  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  (m1_subset_1(E, C) =>  ~ (A=k4_tarski(D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_domain_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(A, B)) =>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(A, B)) =>  ( (k1_xtuple_0(C)=k1_xtuple_0(D) & k2_xtuple_0(C)=k2_xtuple_0(D))  => C=D) ) ) ) ) ) ) ) ) ).
fof(t3_domain_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (r2_tarski(A, k3_zfmisc_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, B) &  (? [F] :  (m1_subset_1(F, C) &  (? [G] :  (m1_subset_1(G, D) & A=k3_xtuple_0(E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_domain_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  ( (! [E] :  (r2_tarski(E, A) <=>  (? [F] :  (m1_subset_1(F, B) &  (? [G] :  (m1_subset_1(G, C) &  (? [H] :  (m1_subset_1(H, D) & E=k3_xtuple_0(F, G, H)) ) ) ) ) ) ) )  => A=k3_zfmisc_1(B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t5_domain_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (A=k3_zfmisc_1(B, C, D) <=>  (! [E] :  (r2_tarski(E, A) <=>  (? [F] :  (m1_subset_1(F, B) &  (? [G] :  (m1_subset_1(G, C) &  (? [H] :  (m1_subset_1(H, D) & E=k3_xtuple_0(F, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_domain_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_subset_1(E, k3_zfmisc_1(B, C, D)) =>  (A=k1_mcart_1(B, C, D, E) <=>  (! [F] :  (m1_subset_1(F, B) =>  (! [G] :  (m1_subset_1(G, C) =>  (! [H] :  (m1_subset_1(H, D) =>  (E=k4_domain_1(B, C, D, F, G, H) => A=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_domain_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_subset_1(E, k3_zfmisc_1(B, C, D)) =>  (A=k2_mcart_1(B, C, D, E) <=>  (! [F] :  (m1_subset_1(F, B) =>  (! [G] :  (m1_subset_1(G, C) =>  (! [H] :  (m1_subset_1(H, D) =>  (E=k4_domain_1(B, C, D, F, G, H) => A=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_domain_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_subset_1(E, k3_zfmisc_1(B, C, D)) =>  (A=k3_mcart_1(B, C, D, E) <=>  (! [F] :  (m1_subset_1(F, B) =>  (! [G] :  (m1_subset_1(G, C) =>  (! [H] :  (m1_subset_1(H, D) =>  (E=k4_domain_1(B, C, D, F, G, H) => A=H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_domain_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k3_zfmisc_1(A, B, C)) =>  (! [E] :  (m1_subset_1(E, k3_zfmisc_1(A, B, C)) =>  ( (k1_mcart_1(A, B, C, D)=k1_mcart_1(A, B, C, E) &  (k2_mcart_1(A, B, C, D)=k2_mcart_1(A, B, C, E) & k3_mcart_1(A, B, C, D)=k3_mcart_1(A, B, C, E)) )  => D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_domain_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (r2_tarski(A, k4_zfmisc_1(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, B) &  (? [G] :  (m1_subset_1(G, C) &  (? [H] :  (m1_subset_1(H, D) &  (? [I] :  (m1_subset_1(I, E) & A=k6_xtuple_0(F, G, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_domain_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  ( (! [F] :  (r2_tarski(F, A) <=>  (? [G] :  (m1_subset_1(G, B) &  (? [H] :  (m1_subset_1(H, C) &  (? [I] :  (m1_subset_1(I, D) &  (? [J] :  (m1_subset_1(J, E) & F=k6_xtuple_0(G, H, I, J)) ) ) ) ) ) ) ) ) )  => A=k4_zfmisc_1(B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_domain_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (A=k4_zfmisc_1(B, C, D, E) <=>  (! [F] :  (r2_tarski(F, A) <=>  (? [G] :  (m1_subset_1(G, B) &  (? [H] :  (m1_subset_1(H, C) &  (? [I] :  (m1_subset_1(I, D) &  (? [J] :  (m1_subset_1(J, E) & F=k6_xtuple_0(G, H, I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_domain_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  (m1_subset_1(F, k4_zfmisc_1(B, C, D, E)) =>  (A=k4_mcart_1(B, C, D, E, F) <=>  (! [G] :  (m1_subset_1(G, B) =>  (! [H] :  (m1_subset_1(H, C) =>  (! [I] :  (m1_subset_1(I, D) =>  (! [J] :  (m1_subset_1(J, E) =>  (F=k5_domain_1(B, C, D, E, G, H, I, J) => A=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_domain_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  (m1_subset_1(F, k4_zfmisc_1(B, C, D, E)) =>  (A=k5_mcart_1(B, C, D, E, F) <=>  (! [G] :  (m1_subset_1(G, B) =>  (! [H] :  (m1_subset_1(H, C) =>  (! [I] :  (m1_subset_1(I, D) =>  (! [J] :  (m1_subset_1(J, E) =>  (F=k5_domain_1(B, C, D, E, G, H, I, J) => A=H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_domain_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  (m1_subset_1(F, k4_zfmisc_1(B, C, D, E)) =>  (A=k6_mcart_1(B, C, D, E, F) <=>  (! [G] :  (m1_subset_1(G, B) =>  (! [H] :  (m1_subset_1(H, C) =>  (! [I] :  (m1_subset_1(I, D) =>  (! [J] :  (m1_subset_1(J, E) =>  (F=k5_domain_1(B, C, D, E, G, H, I, J) => A=I) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_domain_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  (m1_subset_1(F, k4_zfmisc_1(B, C, D, E)) =>  (A=k7_mcart_1(B, C, D, E, F) <=>  (! [G] :  (m1_subset_1(G, B) =>  (! [H] :  (m1_subset_1(H, C) =>  (! [I] :  (m1_subset_1(I, D) =>  (! [J] :  (m1_subset_1(J, E) =>  (F=k5_domain_1(B, C, D, E, G, H, I, J) => A=J) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_domain_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_subset_1(E, k4_zfmisc_1(A, B, C, D)) =>  (! [F] :  (m1_subset_1(F, k4_zfmisc_1(A, B, C, D)) =>  ( (k4_mcart_1(A, B, C, D, E)=k4_mcart_1(A, B, C, D, F) &  (k5_mcart_1(A, B, C, D, E)=k5_mcart_1(A, B, C, D, F) &  (k6_mcart_1(A, B, C, D, E)=k6_mcart_1(A, B, C, D, F) & k7_mcart_1(A, B, C, D, E)=k7_mcart_1(A, B, C, D, F)) ) )  => E=F) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_domain_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, A) & m1_subset_1(D, B)) ) )  => m1_subset_1(k1_domain_1(A, B, C, D), k2_zfmisc_1(A, B))) ) ).
fof(redefinition_k1_domain_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, A) & m1_subset_1(D, B)) ) )  => k1_domain_1(A, B, C, D)=k4_tarski(C, D)) ) ).
fof(dt_k2_domain_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(C, k2_zfmisc_1(A, B))) )  => m1_subset_1(k2_domain_1(A, B, C), A)) ) ).
fof(redefinition_k2_domain_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(C, k2_zfmisc_1(A, B))) )  => k2_domain_1(A, B, C)=k1_xtuple_0(C)) ) ).
fof(dt_k3_domain_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(C, k2_zfmisc_1(A, B))) )  => m1_subset_1(k3_domain_1(A, B, C), B)) ) ).
fof(redefinition_k3_domain_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(C, k2_zfmisc_1(A, B))) )  => k3_domain_1(A, B, C)=k2_xtuple_0(C)) ) ).
fof(dt_k4_domain_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (m1_subset_1(D, A) &  (m1_subset_1(E, B) & m1_subset_1(F, C)) ) ) ) )  => m1_subset_1(k4_domain_1(A, B, C, D, E, F), k3_zfmisc_1(A, B, C))) ) ).
fof(redefinition_k4_domain_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (m1_subset_1(D, A) &  (m1_subset_1(E, B) & m1_subset_1(F, C)) ) ) ) )  => k4_domain_1(A, B, C, D, E, F)=k3_xtuple_0(D, E, F)) ) ).
fof(dt_k5_domain_1, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  (m1_subset_1(E, A) &  (m1_subset_1(F, B) &  (m1_subset_1(G, C) & m1_subset_1(H, D)) ) ) ) ) ) )  => m1_subset_1(k5_domain_1(A, B, C, D, E, F, G, H), k4_zfmisc_1(A, B, C, D))) ) ).
fof(redefinition_k5_domain_1, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  (m1_subset_1(E, A) &  (m1_subset_1(F, B) &  (m1_subset_1(G, C) & m1_subset_1(H, D)) ) ) ) ) ) )  => k5_domain_1(A, B, C, D, E, F, G, H)=k6_xtuple_0(E, F, G, H)) ) ).
fof(dt_f1_s7_domain_1, axiom,  ~ (v1_xboole_0(f1_s7_domain_1)) ).
fof(dt_k6_domain_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => m1_subset_1(k6_domain_1(A, B), k1_zfmisc_1(A))) ) ).
fof(redefinition_k6_domain_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => k6_domain_1(A, B)=k1_tarski(B)) ) ).
fof(dt_k7_domain_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => m1_subset_1(k7_domain_1(A, B, C), k1_zfmisc_1(A))) ) ).
fof(commutativity_k7_domain_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k7_domain_1(A, B, C)=k7_domain_1(A, C, B)) ) ).
fof(redefinition_k7_domain_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k7_domain_1(A, B, C)=k2_tarski(B, C)) ) ).
fof(dt_k8_domain_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (m1_subset_1(C, A) & m1_subset_1(D, A)) ) )  => m1_subset_1(k8_domain_1(A, B, C, D), k1_zfmisc_1(A))) ) ).
fof(redefinition_k8_domain_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (m1_subset_1(C, A) & m1_subset_1(D, A)) ) )  => k8_domain_1(A, B, C, D)=k1_enumset1(B, C, D)) ) ).
fof(dt_k9_domain_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (m1_subset_1(C, A) &  (m1_subset_1(D, A) & m1_subset_1(E, A)) ) ) )  => m1_subset_1(k9_domain_1(A, B, C, D, E), k1_zfmisc_1(A))) ) ).
fof(redefinition_k9_domain_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (m1_subset_1(C, A) &  (m1_subset_1(D, A) & m1_subset_1(E, A)) ) ) )  => k9_domain_1(A, B, C, D, E)=k2_enumset1(B, C, D, E)) ) ).
fof(dt_k10_domain_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (m1_subset_1(C, A) &  (m1_subset_1(D, A) &  (m1_subset_1(E, A) & m1_subset_1(F, A)) ) ) ) )  => m1_subset_1(k10_domain_1(A, B, C, D, E, F), k1_zfmisc_1(A))) ) ).
fof(redefinition_k10_domain_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (m1_subset_1(C, A) &  (m1_subset_1(D, A) &  (m1_subset_1(E, A) & m1_subset_1(F, A)) ) ) ) )  => k10_domain_1(A, B, C, D, E, F)=k3_enumset1(B, C, D, E, F)) ) ).
fof(dt_k11_domain_1, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (m1_subset_1(C, A) &  (m1_subset_1(D, A) &  (m1_subset_1(E, A) &  (m1_subset_1(F, A) & m1_subset_1(G, A)) ) ) ) ) )  => m1_subset_1(k11_domain_1(A, B, C, D, E, F, G), k1_zfmisc_1(A))) ) ).
fof(redefinition_k11_domain_1, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (m1_subset_1(C, A) &  (m1_subset_1(D, A) &  (m1_subset_1(E, A) &  (m1_subset_1(F, A) & m1_subset_1(G, A)) ) ) ) ) )  => k11_domain_1(A, B, C, D, E, F, G)=k4_enumset1(B, C, D, E, F, G)) ) ).
fof(dt_k12_domain_1, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (m1_subset_1(C, A) &  (m1_subset_1(D, A) &  (m1_subset_1(E, A) &  (m1_subset_1(F, A) &  (m1_subset_1(G, A) & m1_subset_1(H, A)) ) ) ) ) ) )  => m1_subset_1(k12_domain_1(A, B, C, D, E, F, G, H), k1_zfmisc_1(A))) ) ).
fof(redefinition_k12_domain_1, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (m1_subset_1(C, A) &  (m1_subset_1(D, A) &  (m1_subset_1(E, A) &  (m1_subset_1(F, A) &  (m1_subset_1(G, A) & m1_subset_1(H, A)) ) ) ) ) ) )  => k12_domain_1(A, B, C, D, E, F, G, H)=k5_enumset1(B, C, D, E, F, G, H)) ) ).
fof(dt_k13_domain_1, axiom,  (! [A, B, C, D, E, F, G, H, I] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (m1_subset_1(C, A) &  (m1_subset_1(D, A) &  (m1_subset_1(E, A) &  (m1_subset_1(F, A) &  (m1_subset_1(G, A) &  (m1_subset_1(H, A) & m1_subset_1(I, A)) ) ) ) ) ) ) )  => m1_subset_1(k13_domain_1(A, B, C, D, E, F, G, H, I), k1_zfmisc_1(A))) ) ).
fof(redefinition_k13_domain_1, axiom,  (! [A, B, C, D, E, F, G, H, I] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (m1_subset_1(C, A) &  (m1_subset_1(D, A) &  (m1_subset_1(E, A) &  (m1_subset_1(F, A) &  (m1_subset_1(G, A) &  (m1_subset_1(H, A) & m1_subset_1(I, A)) ) ) ) ) ) ) )  => k13_domain_1(A, B, C, D, E, F, G, H, I)=k6_enumset1(B, C, D, E, F, G, H, I)) ) ).
fof(dt_f1_s8_domain_1, axiom,  ~ (v1_xboole_0(f1_s8_domain_1)) ).
fof(dt_f2_s8_domain_1, axiom,  ~ (v1_xboole_0(f2_s8_domain_1)) ).
fof(dt_f3_s8_domain_1, axiom,  (! [A] : m1_subset_1(f3_s8_domain_1(A), f2_s8_domain_1)) ).
fof(dt_f1_s9_domain_1, axiom,  ~ (v1_xboole_0(f1_s9_domain_1)) ).
fof(dt_f2_s9_domain_1, axiom,  ~ (v1_xboole_0(f2_s9_domain_1)) ).
fof(dt_f3_s9_domain_1, axiom,  ~ (v1_xboole_0(f3_s9_domain_1)) ).
fof(dt_f4_s9_domain_1, axiom,  (! [A, B] : m1_subset_1(f4_s9_domain_1(A, B), f3_s9_domain_1)) ).
fof(dt_k14_domain_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(D, k2_zfmisc_1(k2_zfmisc_1(A, B), C))) ) )  => m1_subset_1(k14_domain_1(A, B, C, D), A)) ) ).
fof(redefinition_k14_domain_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(D, k2_zfmisc_1(k2_zfmisc_1(A, B), C))) ) )  => k14_domain_1(A, B, C, D)=k13_mcart_1(D)) ) ).
fof(dt_k15_domain_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(D, k2_zfmisc_1(k2_zfmisc_1(A, B), C))) ) )  => m1_subset_1(k15_domain_1(A, B, C, D), B)) ) ).
fof(redefinition_k15_domain_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(D, k2_zfmisc_1(k2_zfmisc_1(A, B), C))) ) )  => k15_domain_1(A, B, C, D)=k14_mcart_1(D)) ) ).
fof(dt_k16_domain_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(D, k2_zfmisc_1(A, k2_zfmisc_1(B, C)))) ) )  => m1_subset_1(k16_domain_1(A, B, C, D), B)) ) ).
fof(redefinition_k16_domain_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(D, k2_zfmisc_1(A, k2_zfmisc_1(B, C)))) ) )  => k16_domain_1(A, B, C, D)=k15_mcart_1(D)) ) ).
fof(dt_k17_domain_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(D, k2_zfmisc_1(A, k2_zfmisc_1(B, C)))) ) )  => m1_subset_1(k17_domain_1(A, B, C, D), C)) ) ).
fof(redefinition_k17_domain_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(D, k2_zfmisc_1(A, k2_zfmisc_1(B, C)))) ) )  => k17_domain_1(A, B, C, D)=k16_mcart_1(D)) ) ).
fof(dt_f1_s10_domain_1, axiom,  ~ (v1_xboole_0(f1_s10_domain_1)) ).
fof(t18_domain_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => A=a_1_0_domain_1(A)) ) ).
fof(t19_domain_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  => k2_zfmisc_1(A, B)=a_2_0_domain_1(A, B)) ) ) ) ).
fof(t20_domain_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  => k3_zfmisc_1(A, B, C)=a_3_0_domain_1(A, B, C)) ) ) ) ) ) ).
fof(t21_domain_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  => k4_zfmisc_1(A, B, C, D)=a_4_0_domain_1(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t22_domain_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => B=a_2_1_domain_1(A, B)) ) ) ) ).
fof(t23_domain_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) => k8_mcart_1(A, B, C, D)=a_4_1_domain_1(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t24_domain_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(B)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(C)) => k9_mcart_1(A, B, C, D, E, F)=a_6_0_domain_1(A, B, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_domain_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(B)) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(C)) =>  (! [H] :  (m1_subset_1(H, k1_zfmisc_1(D)) => k10_mcart_1(A, B, C, D, E, F, G, H)=a_8_0_domain_1(A, B, C, D, E, F, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_domain_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k1_subset_1(A)=a_1_1_domain_1(A)) ) ).
fof(t27_domain_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k3_subset_1(A, B)=a_2_2_domain_1(A, B)) ) ) ) ).
fof(t28_domain_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k9_subset_1(A, B, C)=a_3_1_domain_1(A, B, C)) ) ) ) ) ) ).
fof(t29_domain_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k4_subset_1(A, B, C)=a_3_2_domain_1(A, B, C)) ) ) ) ) ) ).
fof(t30_domain_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k7_subset_1(A, B, C)=a_3_3_domain_1(A, B, C)) ) ) ) ) ) ).
fof(t31_domain_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k5_subset_1(A, B, C)=a_3_4_domain_1(A, B, C)) ) ) ) ) ) ).
fof(t32_domain_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k5_subset_1(A, B, C)=a_3_5_domain_1(A, B, C)) ) ) ) ) ) ).
fof(t33_domain_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k5_subset_1(A, B, C)=a_3_6_domain_1(A, B, C)) ) ) ) ) ) ).
fof(t34_domain_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k5_subset_1(A, B, C)=a_3_7_domain_1(A, B, C)) ) ) ) ) ) ).
fof(s1_domain_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => m1_subset_1(a_1_2_domain_1(A), k1_zfmisc_1(A))) ) ).
fof(s2_domain_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  => m1_subset_1(a_2_3_domain_1(A, B), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ).
fof(s3_domain_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  => m1_subset_1(a_3_8_domain_1(A, B, C), k1_zfmisc_1(k3_zfmisc_1(A, B, C)))) ) ) ) ) ) ).
fof(s4_domain_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  => m1_subset_1(a_4_2_domain_1(A, B, C, D), k1_zfmisc_1(k4_zfmisc_1(A, B, C, D)))) ) ) ) ) ) ) ) ).
fof(s5_domain_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( (! [B] :  (m1_subset_1(B, A) =>  (p1_s5_domain_1(B) => p2_s5_domain_1(B)) ) )  => r1_tarski(a_1_3_domain_1(A), a_1_4_domain_1(A))) ) ) ).
fof(s6_domain_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( (! [B] :  (m1_subset_1(B, A) =>  (p1_s6_domain_1(B) <=> p2_s6_domain_1(B)) ) )  => a_1_5_domain_1(A)=a_1_6_domain_1(A)) ) ) ).
fof(s7_domain_1, axiom, m1_subset_1(a_0_0_domain_1, k1_zfmisc_1(f1_s7_domain_1))).
fof(s8_domain_1, axiom, m1_subset_1(a_0_1_domain_1, k1_zfmisc_1(f2_s8_domain_1))).
fof(s9_domain_1, axiom, m1_subset_1(a_0_2_domain_1, k1_zfmisc_1(f3_s9_domain_1))).
fof(s10_domain_1, axiom, a_0_3_domain_1=k3_xboole_0(a_0_4_domain_1, a_0_5_domain_1)).
fof(fraenkel_a_1_0_domain_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (r2_hidden(A, a_1_0_domain_1(B)) <=>  (? [C] :  (m1_subset_1(C, B) & A=C) ) ) ) ) ).
fof(fraenkel_a_2_0_domain_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  ~ (v1_xboole_0(C)) )  =>  (r2_hidden(A, a_2_0_domain_1(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, B) & m1_subset_1(E, C))  & A=k1_domain_1(B, C, D, E)) ) ) ) ) ).
fof(fraenkel_a_3_0_domain_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ~ (v1_xboole_0(D)) ) )  =>  (r2_hidden(A, a_3_0_domain_1(B, C, D)) <=>  (? [E, F, G] :  ( (m1_subset_1(E, B) &  (m1_subset_1(F, C) & m1_subset_1(G, D)) )  & A=k4_domain_1(B, C, D, E, F, G)) ) ) ) ) ).
fof(fraenkel_a_4_0_domain_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ~ (v1_xboole_0(E)) ) ) )  =>  (r2_hidden(A, a_4_0_domain_1(B, C, D, E)) <=>  (? [F, G, H, I] :  ( (m1_subset_1(F, B) &  (m1_subset_1(G, C) &  (m1_subset_1(H, D) & m1_subset_1(I, E)) ) )  & A=k5_domain_1(B, C, D, E, F, G, H, I)) ) ) ) ) ).
fof(fraenkel_a_2_1_domain_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(C, k1_zfmisc_1(B)))  =>  (r2_hidden(A, a_2_1_domain_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, B) &  (A=D & r2_tarski(D, C)) ) ) ) ) ) ).
fof(fraenkel_a_4_1_domain_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (m1_subset_1(D, k1_zfmisc_1(B)) & m1_subset_1(E, k1_zfmisc_1(C))) ) )  =>  (r2_hidden(A, a_4_1_domain_1(B, C, D, E)) <=>  (? [F, G] :  ( (m1_subset_1(F, B) & m1_subset_1(G, C))  &  (A=k1_domain_1(B, C, F, G) &  (r2_tarski(F, D) & r2_tarski(G, E)) ) ) ) ) ) ) ).
fof(fraenkel_a_6_0_domain_1, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  (m1_subset_1(E, k1_zfmisc_1(B)) &  (m1_subset_1(F, k1_zfmisc_1(C)) & m1_subset_1(G, k1_zfmisc_1(D))) ) ) ) )  =>  (r2_hidden(A, a_6_0_domain_1(B, C, D, E, F, G)) <=>  (? [H, I, J] :  ( (m1_subset_1(H, B) &  (m1_subset_1(I, C) & m1_subset_1(J, D)) )  &  (A=k4_domain_1(B, C, D, H, I, J) &  (r2_tarski(H, E) &  (r2_tarski(I, F) & r2_tarski(J, G)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_8_0_domain_1, axiom,  (! [A, B, C, D, E, F, G, H, I] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( ~ (v1_xboole_0(E))  &  (m1_subset_1(F, k1_zfmisc_1(B)) &  (m1_subset_1(G, k1_zfmisc_1(C)) &  (m1_subset_1(H, k1_zfmisc_1(D)) & m1_subset_1(I, k1_zfmisc_1(E))) ) ) ) ) ) )  =>  (r2_hidden(A, a_8_0_domain_1(B, C, D, E, F, G, H, I)) <=>  (? [J, K, L, M] :  ( (m1_subset_1(J, B) &  (m1_subset_1(K, C) &  (m1_subset_1(L, D) & m1_subset_1(M, E)) ) )  &  (A=k5_domain_1(B, C, D, E, J, K, L, M) &  (r2_tarski(J, F) &  (r2_tarski(K, G) &  (r2_tarski(L, H) & r2_tarski(M, I)) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_1_domain_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (r2_hidden(A, a_1_1_domain_1(B)) <=>  (? [C] :  (m1_subset_1(C, B) &  (A=C &  ~ ($true) ) ) ) ) ) ) ).
fof(fraenkel_a_2_2_domain_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(C, k1_zfmisc_1(B)))  =>  (r2_hidden(A, a_2_2_domain_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, B) &  (A=D &  ~ (r2_tarski(D, C)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_domain_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k1_zfmisc_1(B)) & m1_subset_1(D, k1_zfmisc_1(B))) )  =>  (r2_hidden(A, a_3_1_domain_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, B) &  (A=E &  (r2_tarski(E, C) & r2_tarski(E, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_2_domain_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k1_zfmisc_1(B)) & m1_subset_1(D, k1_zfmisc_1(B))) )  =>  (r2_hidden(A, a_3_2_domain_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, B) &  (A=E &  (r2_tarski(E, C) | r2_tarski(E, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_3_domain_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k1_zfmisc_1(B)) & m1_subset_1(D, k1_zfmisc_1(B))) )  =>  (r2_hidden(A, a_3_3_domain_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, B) &  (A=E &  (r2_tarski(E, C) &  ~ (r2_tarski(E, D)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_4_domain_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k1_zfmisc_1(B)) & m1_subset_1(D, k1_zfmisc_1(B))) )  =>  (r2_hidden(A, a_3_4_domain_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, B) &  (A=E &  ( (r2_tarski(E, C) &  ~ (r2_tarski(E, D)) )  |  ( ~ (r2_tarski(E, C))  & r2_tarski(E, D)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_5_domain_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k1_zfmisc_1(B)) & m1_subset_1(D, k1_zfmisc_1(B))) )  =>  (r2_hidden(A, a_3_5_domain_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, B) &  (A=E &  ( ~ (r2_tarski(E, C))  <=> r2_tarski(E, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_6_domain_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k1_zfmisc_1(B)) & m1_subset_1(D, k1_zfmisc_1(B))) )  =>  (r2_hidden(A, a_3_6_domain_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, B) &  (A=E &  (r2_tarski(E, C) <=>  ~ (r2_tarski(E, D)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_7_domain_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k1_zfmisc_1(B)) & m1_subset_1(D, k1_zfmisc_1(B))) )  =>  (r2_hidden(A, a_3_7_domain_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, B) &  (A=E &  ~ ( (r2_tarski(E, C) <=> r2_tarski(E, D)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_2_domain_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (r2_hidden(A, a_1_2_domain_1(B)) <=>  (? [C] :  (m1_subset_1(C, B) &  (A=C & p1_s1_domain_1(C)) ) ) ) ) ) ).
fof(fraenkel_a_2_3_domain_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  ~ (v1_xboole_0(C)) )  =>  (r2_hidden(A, a_2_3_domain_1(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, B) & m1_subset_1(E, C))  &  (A=k1_domain_1(B, C, D, E) & p1_s2_domain_1(D, E)) ) ) ) ) ) ).
fof(fraenkel_a_3_8_domain_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ~ (v1_xboole_0(D)) ) )  =>  (r2_hidden(A, a_3_8_domain_1(B, C, D)) <=>  (? [E, F, G] :  ( (m1_subset_1(E, B) &  (m1_subset_1(F, C) & m1_subset_1(G, D)) )  &  (A=k4_domain_1(B, C, D, E, F, G) & p1_s3_domain_1(E, F, G)) ) ) ) ) ) ).
fof(fraenkel_a_4_2_domain_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ~ (v1_xboole_0(E)) ) ) )  =>  (r2_hidden(A, a_4_2_domain_1(B, C, D, E)) <=>  (? [F, G, H, I] :  ( (m1_subset_1(F, B) &  (m1_subset_1(G, C) &  (m1_subset_1(H, D) & m1_subset_1(I, E)) ) )  &  (A=k5_domain_1(B, C, D, E, F, G, H, I) & p1_s4_domain_1(F, G, H, I)) ) ) ) ) ) ).
fof(fraenkel_a_1_3_domain_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (r2_hidden(A, a_1_3_domain_1(B)) <=>  (? [C] :  (m1_subset_1(C, B) &  (A=C & p1_s5_domain_1(C)) ) ) ) ) ) ).
fof(fraenkel_a_1_4_domain_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (r2_hidden(A, a_1_4_domain_1(B)) <=>  (? [C] :  (m1_subset_1(C, B) &  (A=C & p2_s5_domain_1(C)) ) ) ) ) ) ).
fof(fraenkel_a_1_5_domain_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (r2_hidden(A, a_1_5_domain_1(B)) <=>  (? [C] :  (m1_subset_1(C, B) &  (A=C & p1_s6_domain_1(C)) ) ) ) ) ) ).
fof(fraenkel_a_1_6_domain_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (r2_hidden(A, a_1_6_domain_1(B)) <=>  (? [C] :  (m1_subset_1(C, B) &  (A=C & p2_s6_domain_1(C)) ) ) ) ) ) ).
fof(fraenkel_a_0_0_domain_1, axiom,  (! [A] :  (r2_hidden(A, a_0_0_domain_1) <=>  (? [B] :  (m1_subset_1(B, f1_s7_domain_1) &  (A=B & p1_s7_domain_1(B)) ) ) ) ) ).
fof(fraenkel_a_0_1_domain_1, axiom,  (! [A] :  (r2_hidden(A, a_0_1_domain_1) <=>  (? [B] :  (m1_subset_1(B, f1_s8_domain_1) &  (A=f3_s8_domain_1(B) & p1_s8_domain_1(B)) ) ) ) ) ).
fof(fraenkel_a_0_2_domain_1, axiom,  (! [A] :  (r2_hidden(A, a_0_2_domain_1) <=>  (? [B, C] :  ( (m1_subset_1(B, f1_s9_domain_1) & m1_subset_1(C, f2_s9_domain_1))  &  (A=f4_s9_domain_1(B, C) & p1_s9_domain_1(B, C)) ) ) ) ) ).
fof(fraenkel_a_0_3_domain_1, axiom,  (! [A] :  (r2_hidden(A, a_0_3_domain_1) <=>  (? [B] :  (m1_subset_1(B, f1_s10_domain_1) &  (A=B &  (p1_s10_domain_1(B) & p2_s10_domain_1(B)) ) ) ) ) ) ).
fof(fraenkel_a_0_4_domain_1, axiom,  (! [A] :  (r2_hidden(A, a_0_4_domain_1) <=>  (? [B] :  (m1_subset_1(B, f1_s10_domain_1) &  (A=B & p1_s10_domain_1(B)) ) ) ) ) ).
fof(fraenkel_a_0_5_domain_1, axiom,  (! [A] :  (r2_hidden(A, a_0_5_domain_1) <=>  (? [B] :  (m1_subset_1(B, f1_s10_domain_1) &  (A=B & p2_s10_domain_1(B)) ) ) ) ) ).
fof(cc1_dtconstr, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_trees_3(B, A))  =>  (! [C] :  (m1_finseq_1(C, B) => v6_trees_3(C)) ) ) ) ).
fof(fc1_dtconstr, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k3_finseq_2(A)))))  =>  ( ~ (v2_struct_0(g1_lang1(A, B)))  & v1_lang1(g1_lang1(A, B))) ) ) ).
fof(rc1_dtconstr, axiom,  (? [A] :  (l1_lang1(A) &  ( ~ (v2_struct_0(A))  &  (v1_lang1(A) &  (v1_dtconstr(A) &  (v2_dtconstr(A) & v3_dtconstr(A)) ) ) ) ) ) ).
fof(fc2_dtconstr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_dtconstr(A) & l1_lang1(A)) )  =>  ~ (v1_xboole_0(k4_dtconstr(A))) ) ) ).
fof(fc3_dtconstr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_dtconstr(A) & l1_lang1(A)) )  =>  ~ (v1_xboole_0(k4_dtconstr(A))) ) ) ).
fof(fc4_dtconstr, axiom,  ( ~ (v2_struct_0(k5_dtconstr))  &  (v1_lang1(k5_dtconstr) &  (v1_dtconstr(k5_dtconstr) &  (v2_dtconstr(k5_dtconstr) & v3_dtconstr(k5_dtconstr)) ) ) ) ).
fof(t1_dtconstr, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, k5_trees_3(A)) => m2_finseq_1(B, k4_trees_3(A))) ) ) ) ).
fof(t2_dtconstr, axiom,  (! [A] :  (! [B] :  (! [C] :  (m2_finseq_1(C, A) =>  (r2_tarski(B, k4_finseq_1(C)) => r2_tarski(k1_funct_1(C, B), A)) ) ) ) ) ).
fof(t3_dtconstr, axiom, k15_trees_3(k1_xboole_0)=k1_xboole_0).
fof(t4_dtconstr, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_trees_2(A)) )  => k15_trees_3(k9_finseq_1(A))=k9_finseq_1(k1_funct_1(A, k1_xboole_0))) ) ).
fof(t5_dtconstr, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k5_trees_3(A))) =>  (! [C] :  (m1_trees_4(C, k5_trees_3(A), B) =>  ~ ( (k3_finseq_1(k1_dtconstr(A, k5_trees_3(A), C))=1 &  (! [D] :  (m1_subset_1(D, k5_trees_3(A)) =>  ~ ( (C=k3_pre_poly(k5_trees_3(A), D) & r2_tarski(D, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_dtconstr, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_trees_2(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_trees_2(B)) )  => k15_trees_3(k10_finseq_1(A, B))=k10_finseq_1(k1_funct_1(A, k1_xboole_0), k1_funct_1(B, k1_xboole_0))) ) ) ) ).
fof(t7_dtconstr, axiom,  (k11_mcart_1(k1_xboole_0)=k1_xboole_0 & k12_mcart_1(k1_xboole_0)=k1_xboole_0) ).
fof(t8_dtconstr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lang1(A))  => r1_xboole_0(k1_lang1(A), k2_lang1(A))) ) ).
fof(d1_dtconstr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lang1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k5_trees_3(u1_struct_0(A)))) =>  (B=k4_dtconstr(A) <=>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, k1_lang1(A)) => r2_tarski(k2_trees_4(u1_struct_0(A), C), B)) ) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_trees_4(D, k5_trees_3(u1_struct_0(A)), B) =>  (r1_lang1(A, C, k1_dtconstr(u1_struct_0(A), k5_trees_3(u1_struct_0(A)), D)) => r2_tarski(k8_trees_4(u1_struct_0(A), C, D), B)) ) ) ) )  &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k5_trees_3(u1_struct_0(A)))) =>  ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, k1_lang1(A)) => r2_tarski(k2_trees_4(u1_struct_0(A), D), C)) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_trees_4(E, k5_trees_3(u1_struct_0(A)), C) =>  (r1_lang1(A, D, k1_dtconstr(u1_struct_0(A), k5_trees_3(u1_struct_0(A)), E)) => r2_tarski(k8_trees_4(u1_struct_0(A), D, E), C)) ) ) ) ) )  => r1_tarski(B, C)) ) ) ) ) ) ) ) ) ) ).
fof(d2_dtconstr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_lang1(A) & l1_lang1(A)) )  =>  (A=k5_dtconstr <=>  (u1_struct_0(A)=k7_domain_1(k4_ordinal1, k5_numbers, 1) &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (r1_lang1(A, B, C) <=>  (B=1 &  (C=k3_pre_poly(k4_ordinal1, k5_numbers) | C=k3_pre_poly(k4_ordinal1, 1)) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_dtconstr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lang1(A))  =>  (v1_dtconstr(A) <=>  ~ (k1_lang1(A)=k1_xboole_0) ) ) ) ).
fof(d4_dtconstr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lang1(A))  =>  (v2_dtconstr(A) <=>  ~ (k2_lang1(A)=k1_xboole_0) ) ) ) ).
fof(d5_dtconstr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lang1(A))  =>  (v3_dtconstr(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ ( (r2_tarski(B, k2_lang1(A)) &  (! [C] :  (m1_trees_4(C, k5_trees_3(u1_struct_0(A)), k4_dtconstr(A)) =>  ~ (r1_lang1(A, B, k1_dtconstr(u1_struct_0(A), k5_trees_3(u1_struct_0(A)), C))) ) ) ) ) ) ) ) ) ) ).
fof(d6_dtconstr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_dtconstr(A) &  (v3_dtconstr(A) & l1_lang1(A)) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k7_dtconstr(A)) =>  (! [C] :  (m1_trees_4(C, k5_trees_3(u1_struct_0(A)), k4_dtconstr(A)) =>  (m2_dtconstr(C, A, B) <=> r1_lang1(A, B, k1_dtconstr(u1_struct_0(A), k5_trees_3(u1_struct_0(A)), C))) ) ) ) ) ) ) ).
fof(t9_dtconstr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_dtconstr(A) & l1_lang1(A)) )  =>  (! [B] :  (m1_dtconstr(B, u1_struct_0(A), k5_trees_3(u1_struct_0(A)), k4_dtconstr(A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), k6_dtconstr(A)) =>  (k1_funct_1(B, k1_xboole_0)=C => B=k8_dtconstr(A, C)) ) ) ) ) ) ) ).
fof(t10_dtconstr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_dtconstr(A) &  (v2_dtconstr(A) & l1_lang1(A)) ) )  =>  (! [B] :  (m1_dtconstr(B, u1_struct_0(A), k5_trees_3(u1_struct_0(A)), k4_dtconstr(A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), k7_dtconstr(A)) =>  ~ ( (k1_funct_1(B, k1_xboole_0)=C &  (! [D] :  (m1_trees_4(D, k5_trees_3(u1_struct_0(A)), k4_dtconstr(A)) =>  ~ ( (B=k8_trees_4(u1_struct_0(A), C, D) & r1_lang1(A, C, k1_dtconstr(u1_struct_0(A), k5_trees_3(u1_struct_0(A)), D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_dtconstr, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) => k11_dtconstr(A)=k1_nat_1(k1_funct_1(A, 1), 1)) ) ).
fof(d8_dtconstr, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_dtconstr(k5_dtconstr), k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k5_dtconstr), k4_ordinal1)))) )  =>  (A=k12_dtconstr <=>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(k5_dtconstr)) =>  (r2_tarski(B, k6_dtconstr(k5_dtconstr)) => k1_funct_1(A, k2_trees_4(u1_struct_0(k5_dtconstr), B))=k5_numbers) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_dtconstr)) =>  (! [C] :  (m1_trees_4(C, k5_trees_3(u1_struct_0(k5_dtconstr)), k4_dtconstr(k5_dtconstr)) =>  (r1_lang1(k5_dtconstr, B, k1_dtconstr(u1_struct_0(k5_dtconstr), k5_trees_3(u1_struct_0(k5_dtconstr)), C)) => k1_funct_1(A, k8_trees_4(u1_struct_0(k5_dtconstr), B, C))=k11_dtconstr(k4_finseqop(k4_dtconstr(k5_dtconstr), k4_ordinal1, C, A))) ) ) ) ) ) ) ) ) ).
fof(d9_dtconstr, axiom,  (! [A] :  (m1_dtconstr(A, u1_struct_0(k5_dtconstr), k5_trees_3(u1_struct_0(k5_dtconstr)), k4_dtconstr(k5_dtconstr)) => k13_dtconstr(A)=k4_trees_4(1, k3_pre_poly(k4_dtconstr(k5_dtconstr), A))) ) ).
fof(d10_dtconstr, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_dtconstr(k5_dtconstr)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_dtconstr(k5_dtconstr))))) )  =>  (A=k14_dtconstr <=>  (k8_nat_1(k4_dtconstr(k5_dtconstr), A, k5_numbers)=k2_trees_4(k4_ordinal1, k5_numbers) &  (! [B] :  (v7_ordinal1(B) => k8_nat_1(k4_dtconstr(k5_dtconstr), A, k1_nat_1(B, 1))=k13_dtconstr(k8_nat_1(k4_dtconstr(k5_dtconstr), A, B))) ) ) ) ) ) ).
fof(t11_dtconstr, axiom,  (! [A] :  (m1_dtconstr(A, u1_struct_0(k5_dtconstr), k5_trees_3(u1_struct_0(k5_dtconstr)), k4_dtconstr(k5_dtconstr)) => A=k8_nat_1(k4_dtconstr(k5_dtconstr), k14_dtconstr, k3_funct_2(k4_dtconstr(k5_dtconstr), k4_ordinal1, k12_dtconstr, A))) ) ).
fof(t12_dtconstr, axiom,  (! [A] :  (v7_ordinal1(A) => A=k3_funct_2(k4_dtconstr(k5_dtconstr), k4_ordinal1, k12_dtconstr, k8_nat_1(k4_dtconstr(k5_dtconstr), k14_dtconstr, A))) ) ).
fof(d11_dtconstr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lang1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v3_trees_2(B)) ) )  =>  (r2_tarski(B, k4_dtconstr(A)) =>  (! [C] :  (m2_finseq_1(C, k1_lang1(A)) =>  (C=k15_dtconstr(A, B) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_dtconstr(A), k3_finseq_2(k1_lang1(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(A), k3_finseq_2(k1_lang1(A)))))) )  &  (C=k1_funct_1(D, B) &  ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(E, k1_lang1(A)) => k1_funct_1(D, k2_trees_4(u1_struct_0(A), E))=k3_pre_poly(u1_struct_0(A), E)) ) )  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_trees_4(F, k5_trees_3(u1_struct_0(A)), k4_dtconstr(A)) =>  (r1_lang1(A, E, k1_dtconstr(u1_struct_0(A), k5_trees_3(u1_struct_0(A)), F)) => k1_funct_1(D, k8_trees_4(u1_struct_0(A), E, F))=k5_pre_poly(k1_lang1(A), k4_finseqop(k4_dtconstr(A), k3_finseq_2(k1_lang1(A)), F, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_dtconstr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lang1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v3_trees_2(B)) ) )  =>  (r2_tarski(B, k4_dtconstr(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (C=k16_dtconstr(A, B) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_dtconstr(A), k3_finseq_2(u1_struct_0(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(A), k3_finseq_2(u1_struct_0(A)))))) )  &  (C=k1_funct_1(D, B) &  ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(E, k1_lang1(A)) => k1_funct_1(D, k2_trees_4(u1_struct_0(A), E))=k3_pre_poly(u1_struct_0(A), E)) ) )  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_trees_4(F, k5_trees_3(u1_struct_0(A)), k4_dtconstr(A)) =>  (! [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) & v1_finseq_1(G)) )  =>  ( (G=k1_dtconstr(u1_struct_0(A), k5_trees_3(u1_struct_0(A)), F) & r1_lang1(A, E, G))  =>  (! [H] :  (m2_finseq_1(H, k3_finseq_2(u1_struct_0(A))) =>  (H=k4_finseqop(k4_dtconstr(A), k3_finseq_2(u1_struct_0(A)), F, D) => k1_funct_1(D, k8_trees_4(u1_struct_0(A), E, F))=k1_pre_poly(u1_struct_0(A), k3_pre_poly(u1_struct_0(A), E), k5_pre_poly(u1_struct_0(A), H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_dtconstr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lang1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v3_trees_2(B)) ) )  =>  (r2_tarski(B, k4_dtconstr(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (C=k17_dtconstr(A, B) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_dtconstr(A), k3_finseq_2(u1_struct_0(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(A), k3_finseq_2(u1_struct_0(A)))))) )  &  (C=k1_funct_1(D, B) &  ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(E, k1_lang1(A)) => k1_funct_1(D, k2_trees_4(u1_struct_0(A), E))=k3_pre_poly(u1_struct_0(A), E)) ) )  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_trees_4(F, k5_trees_3(u1_struct_0(A)), k4_dtconstr(A)) =>  (! [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) & v1_finseq_1(G)) )  =>  ( (G=k1_dtconstr(u1_struct_0(A), k5_trees_3(u1_struct_0(A)), F) & r1_lang1(A, E, G))  =>  (! [H] :  (m2_finseq_1(H, k3_finseq_2(u1_struct_0(A))) =>  (H=k4_finseqop(k4_dtconstr(A), k3_finseq_2(u1_struct_0(A)), F, D) => k1_funct_1(D, k8_trees_4(u1_struct_0(A), E, F))=k1_pre_poly(u1_struct_0(A), k5_pre_poly(u1_struct_0(A), H), k3_pre_poly(u1_struct_0(A), E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_dtconstr, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, u1_struct_0(k5_dtconstr)) &  (v1_funct_1(A) & v3_trees_2(A)) ) )  =>  (r2_tarski(A, k4_dtconstr(k5_dtconstr)) => k15_dtconstr(k5_dtconstr, A)=k3_pre_poly(k4_ordinal1, k5_numbers)) ) ) ).
fof(t14_dtconstr, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_dtconstr)) => k18_dtconstr(k5_dtconstr, A)=k6_domain_1(k3_finseq_2(k4_ordinal1), k3_pre_poly(k4_ordinal1, k5_numbers))) ) ).
fof(t15_dtconstr, axiom,  (! [A] :  (m1_dtconstr(A, u1_struct_0(k5_dtconstr), k5_trees_3(u1_struct_0(k5_dtconstr)), k4_dtconstr(k5_dtconstr)) => k16_dtconstr(k5_dtconstr, A)=k8_finseq_1(k4_ordinal1, k5_finseq_2(k4_ordinal1, k6_trees_1(k9_xtuple_0(A)), 1), k3_pre_poly(k4_ordinal1, k5_numbers))) ) ).
fof(t17_dtconstr, axiom,  (! [A] :  (m1_dtconstr(A, u1_struct_0(k5_dtconstr), k5_trees_3(u1_struct_0(k5_dtconstr)), k4_dtconstr(k5_dtconstr)) => k17_dtconstr(k5_dtconstr, A)=k8_finseq_1(k4_ordinal1, k3_pre_poly(k4_ordinal1, k5_numbers), k5_finseq_2(k4_ordinal1, k6_trees_1(k9_xtuple_0(A)), 1))) ) ).
fof(s1_dtconstr, axiom,  (? [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_lang1(A) & l1_lang1(A)) )  &  (u1_struct_0(A)=f1_s1_dtconstr &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (r1_lang1(A, B, C) <=> p1_s1_dtconstr(B, C)) ) ) ) ) ) ) ) ).
fof(s2_dtconstr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_lang1(A) & l1_lang1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_lang1(B) & l1_lang1(B)) )  =>  ( (u1_struct_0(A)=f1_s2_dtconstr &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (r1_lang1(A, C, D) <=> p1_s2_dtconstr(C, D)) ) ) ) )  &  (u1_struct_0(B)=f1_s2_dtconstr &  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(B)) =>  (r1_lang1(B, C, D) <=> p1_s2_dtconstr(C, D)) ) ) ) ) ) ) )  => A=B) ) ) ) ) ).
fof(s7_dtconstr, axiom,  ( ( (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s7_dtconstr)) =>  (r2_tarski(A, k1_lang1(f1_s7_dtconstr)) => p1_s7_dtconstr(k2_trees_4(u1_struct_0(f1_s7_dtconstr), A))) ) )  &  (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s7_dtconstr)) =>  (! [B] :  (m1_trees_4(B, k5_trees_3(u1_struct_0(f1_s7_dtconstr)), k4_dtconstr(f1_s7_dtconstr)) =>  ( (r1_lang1(f1_s7_dtconstr, A, k1_dtconstr(u1_struct_0(f1_s7_dtconstr), k5_trees_3(u1_struct_0(f1_s7_dtconstr)), B)) &  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, u1_struct_0(f1_s7_dtconstr)) &  (v1_funct_1(C) & v3_trees_2(C)) ) )  =>  (r2_tarski(C, k10_xtuple_0(B)) => p1_s7_dtconstr(C)) ) ) )  => p1_s7_dtconstr(k8_trees_4(u1_struct_0(f1_s7_dtconstr), A, B))) ) ) ) ) )  =>  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, u1_struct_0(f1_s7_dtconstr)) &  (v1_funct_1(A) & v3_trees_2(A)) ) )  =>  (r2_tarski(A, k4_dtconstr(f1_s7_dtconstr)) => p1_s7_dtconstr(A)) ) ) ) ).
fof(s8_dtconstr, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_dtconstr(f1_s8_dtconstr), f2_s8_dtconstr) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(f1_s8_dtconstr), f2_s8_dtconstr)))) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(f1_s8_dtconstr)) =>  (r2_tarski(B, k1_lang1(f1_s8_dtconstr)) => k1_funct_1(A, k2_trees_4(u1_struct_0(f1_s8_dtconstr), B))=f3_s8_dtconstr(B)) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(f1_s8_dtconstr)) =>  (! [C] :  (m1_trees_4(C, k5_trees_3(u1_struct_0(f1_s8_dtconstr)), k4_dtconstr(f1_s8_dtconstr)) =>  (r1_lang1(f1_s8_dtconstr, B, k1_dtconstr(u1_struct_0(f1_s8_dtconstr), k5_trees_3(u1_struct_0(f1_s8_dtconstr)), C)) => k1_funct_1(A, k8_trees_4(u1_struct_0(f1_s8_dtconstr), B, C))=f4_s8_dtconstr(B, k1_dtconstr(u1_struct_0(f1_s8_dtconstr), k5_trees_3(u1_struct_0(f1_s8_dtconstr)), C), k4_finseqop(k4_dtconstr(f1_s8_dtconstr), f2_s8_dtconstr, C, A))) ) ) ) ) ) ) ) ).
fof(s9_dtconstr, axiom,  ( ( ( (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s9_dtconstr)) =>  (r2_tarski(A, k1_lang1(f1_s9_dtconstr)) => k1_funct_1(f5_s9_dtconstr, k2_trees_4(u1_struct_0(f1_s9_dtconstr), A))=f3_s9_dtconstr(A)) ) )  &  (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s9_dtconstr)) =>  (! [B] :  (m1_trees_4(B, k5_trees_3(u1_struct_0(f1_s9_dtconstr)), k4_dtconstr(f1_s9_dtconstr)) =>  (r1_lang1(f1_s9_dtconstr, A, k1_dtconstr(u1_struct_0(f1_s9_dtconstr), k5_trees_3(u1_struct_0(f1_s9_dtconstr)), B)) => k1_funct_1(f5_s9_dtconstr, k8_trees_4(u1_struct_0(f1_s9_dtconstr), A, B))=f4_s9_dtconstr(A, k1_dtconstr(u1_struct_0(f1_s9_dtconstr), k5_trees_3(u1_struct_0(f1_s9_dtconstr)), B), k4_finseqop(k4_dtconstr(f1_s9_dtconstr), f2_s9_dtconstr, B, f5_s9_dtconstr))) ) ) ) ) )  &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s9_dtconstr)) =>  (r2_tarski(A, k1_lang1(f1_s9_dtconstr)) => k1_funct_1(f6_s9_dtconstr, k2_trees_4(u1_struct_0(f1_s9_dtconstr), A))=f3_s9_dtconstr(A)) ) )  &  (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s9_dtconstr)) =>  (! [B] :  (m1_trees_4(B, k5_trees_3(u1_struct_0(f1_s9_dtconstr)), k4_dtconstr(f1_s9_dtconstr)) =>  (r1_lang1(f1_s9_dtconstr, A, k1_dtconstr(u1_struct_0(f1_s9_dtconstr), k5_trees_3(u1_struct_0(f1_s9_dtconstr)), B)) => k1_funct_1(f6_s9_dtconstr, k8_trees_4(u1_struct_0(f1_s9_dtconstr), A, B))=f4_s9_dtconstr(A, k1_dtconstr(u1_struct_0(f1_s9_dtconstr), k5_trees_3(u1_struct_0(f1_s9_dtconstr)), B), k4_finseqop(k4_dtconstr(f1_s9_dtconstr), f2_s9_dtconstr, B, f6_s9_dtconstr))) ) ) ) ) ) )  => r2_funct_2(k4_dtconstr(f1_s9_dtconstr), f2_s9_dtconstr, f5_s9_dtconstr, f6_s9_dtconstr)) ).
fof(dt_m1_dtconstr, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  & m1_trees_3(B, A))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(B))) ) )  =>  (! [D] :  (m1_dtconstr(D, A, B, C) => m1_subset_1(D, B)) ) ) ) ).
fof(existence_m1_dtconstr, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  & m1_trees_3(B, A))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(B))) ) )  =>  (? [D] : m1_dtconstr(D, A, B, C)) ) ) ).
fof(redefinition_m1_dtconstr, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  & m1_trees_3(B, A))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(B))) ) )  =>  (! [D] :  (m1_dtconstr(D, A, B, C) <=> m1_subset_1(D, C)) ) ) ) ).
fof(dt_k1_dtconstr, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_trees_3(B, A) & m1_finseq_1(C, B)) )  => m2_finseq_1(k1_dtconstr(A, B, C), A)) ) ).
fof(redefinition_k1_dtconstr, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_trees_3(B, A) & m1_finseq_1(C, B)) )  => k1_dtconstr(A, B, C)=k15_trees_3(C)) ) ).
fof(dt_k2_dtconstr, axiom,  (! [A, B, C] :  (m1_finseq_1(C, k2_zfmisc_1(A, B)) => m2_finseq_1(k2_dtconstr(A, B, C), A)) ) ).
fof(redefinition_k2_dtconstr, axiom,  (! [A, B, C] :  (m1_finseq_1(C, k2_zfmisc_1(A, B)) => k2_dtconstr(A, B, C)=k11_mcart_1(C)) ) ).
fof(dt_k3_dtconstr, axiom,  (! [A, B, C] :  (m1_finseq_1(C, k2_zfmisc_1(A, B)) => m2_finseq_1(k3_dtconstr(A, B, C), B)) ) ).
fof(redefinition_k3_dtconstr, axiom,  (! [A, B, C] :  (m1_finseq_1(C, k2_zfmisc_1(A, B)) => k3_dtconstr(A, B, C)=k12_mcart_1(C)) ) ).
fof(dt_f1_s1_dtconstr, axiom,  ~ (v1_xboole_0(f1_s1_dtconstr)) ).
fof(dt_f1_s2_dtconstr, axiom,  ~ (v1_xboole_0(f1_s2_dtconstr)) ).
fof(dt_f1_s3_dtconstr, axiom,  (v1_relat_1(f1_s3_dtconstr) & v1_funct_1(f1_s3_dtconstr)) ).
fof(dt_f2_s3_dtconstr, axiom,  ( ~ (v2_struct_0(f2_s3_dtconstr))  & l1_lang1(f2_s3_dtconstr)) ).
fof(dt_f3_s3_dtconstr, axiom,  ~ (v1_xboole_0(f3_s3_dtconstr)) ).
fof(dt_f4_s3_dtconstr, axiom,  (! [A] : m1_subset_1(f4_s3_dtconstr(A), f3_s3_dtconstr)) ).
fof(dt_f5_s3_dtconstr, axiom,  (! [A, B, C] : m1_subset_1(f5_s3_dtconstr(A, B, C), f3_s3_dtconstr)) ).
fof(dt_f1_s4_dtconstr, axiom,  (v1_relat_1(f1_s4_dtconstr) & v1_funct_1(f1_s4_dtconstr)) ).
fof(dt_f2_s4_dtconstr, axiom,  ( ~ (v2_struct_0(f2_s4_dtconstr))  & l1_lang1(f2_s4_dtconstr)) ).
fof(dt_f3_s4_dtconstr, axiom,  ~ (v1_xboole_0(f3_s4_dtconstr)) ).
fof(dt_f4_s4_dtconstr, axiom,  (! [A] : m1_subset_1(f4_s4_dtconstr(A), f3_s4_dtconstr)) ).
fof(dt_f5_s4_dtconstr, axiom,  (! [A, B, C] : m1_subset_1(f5_s4_dtconstr(A, B, C), f3_s4_dtconstr)) ).
fof(dt_f1_s5_dtconstr, axiom,  (v1_relat_1(f1_s5_dtconstr) & v1_funct_1(f1_s5_dtconstr)) ).
fof(dt_f2_s5_dtconstr, axiom,  ( ~ (v2_struct_0(f2_s5_dtconstr))  & l1_lang1(f2_s5_dtconstr)) ).
fof(dt_f3_s5_dtconstr, axiom,  ~ (v1_xboole_0(f3_s5_dtconstr)) ).
fof(dt_f4_s5_dtconstr, axiom,  (! [A] : m1_subset_1(f4_s5_dtconstr(A), f3_s5_dtconstr)) ).
fof(dt_f5_s5_dtconstr, axiom,  (! [A, B, C] : m1_subset_1(f5_s5_dtconstr(A, B, C), f3_s5_dtconstr)) ).
fof(dt_f1_s6_dtconstr, axiom,  (v1_relat_1(f1_s6_dtconstr) & v1_funct_1(f1_s6_dtconstr)) ).
fof(dt_f2_s6_dtconstr, axiom,  ( ~ (v2_struct_0(f2_s6_dtconstr))  & l1_lang1(f2_s6_dtconstr)) ).
fof(dt_f3_s6_dtconstr, axiom,  ~ (v1_xboole_0(f3_s6_dtconstr)) ).
fof(dt_f4_s6_dtconstr, axiom,  (! [A] : m1_subset_1(f4_s6_dtconstr(A), f3_s6_dtconstr)) ).
fof(dt_f5_s6_dtconstr, axiom,  (! [A, B, C] : m1_subset_1(f5_s6_dtconstr(A, B, C), f3_s6_dtconstr)) ).
fof(dt_k4_dtconstr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lang1(A))  => m1_subset_1(k4_dtconstr(A), k1_zfmisc_1(k5_trees_3(u1_struct_0(A))))) ) ).
fof(dt_f1_s7_dtconstr, axiom,  ( ~ (v2_struct_0(f1_s7_dtconstr))  & l1_lang1(f1_s7_dtconstr)) ).
fof(dt_f1_s8_dtconstr, axiom,  ( ~ (v2_struct_0(f1_s8_dtconstr))  & l1_lang1(f1_s8_dtconstr)) ).
fof(dt_f2_s8_dtconstr, axiom,  ~ (v1_xboole_0(f2_s8_dtconstr)) ).
fof(dt_f3_s8_dtconstr, axiom,  (! [A] : m1_subset_1(f3_s8_dtconstr(A), f2_s8_dtconstr)) ).
fof(dt_f4_s8_dtconstr, axiom,  (! [A, B, C] : m1_subset_1(f4_s8_dtconstr(A, B, C), f2_s8_dtconstr)) ).
fof(dt_f1_s9_dtconstr, axiom,  ( ~ (v2_struct_0(f1_s9_dtconstr))  & l1_lang1(f1_s9_dtconstr)) ).
fof(dt_f2_s9_dtconstr, axiom,  ~ (v1_xboole_0(f2_s9_dtconstr)) ).
fof(dt_f3_s9_dtconstr, axiom,  (! [A] : m1_subset_1(f3_s9_dtconstr(A), f2_s9_dtconstr)) ).
fof(dt_f4_s9_dtconstr, axiom,  (! [A, B, C] : m1_subset_1(f4_s9_dtconstr(A, B, C), f2_s9_dtconstr)) ).
fof(dt_f5_s9_dtconstr, axiom,  (v1_funct_1(f5_s9_dtconstr) &  (v1_funct_2(f5_s9_dtconstr, k4_dtconstr(f1_s9_dtconstr), f2_s9_dtconstr) & m1_subset_1(f5_s9_dtconstr, k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(f1_s9_dtconstr), f2_s9_dtconstr)))) ) ).
fof(dt_f6_s9_dtconstr, axiom,  (v1_funct_1(f6_s9_dtconstr) &  (v1_funct_2(f6_s9_dtconstr, k4_dtconstr(f1_s9_dtconstr), f2_s9_dtconstr) & m1_subset_1(f6_s9_dtconstr, k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(f1_s9_dtconstr), f2_s9_dtconstr)))) ) ).
fof(dt_k5_dtconstr, axiom,  ( ~ (v2_struct_0(k5_dtconstr))  &  (v1_lang1(k5_dtconstr) & l1_lang1(k5_dtconstr)) ) ).
fof(dt_k6_dtconstr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_dtconstr(A) & l1_lang1(A)) )  =>  ( ~ (v1_xboole_0(k6_dtconstr(A)))  & m1_subset_1(k6_dtconstr(A), k1_zfmisc_1(u1_struct_0(A)))) ) ) ).
fof(redefinition_k6_dtconstr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_dtconstr(A) & l1_lang1(A)) )  => k6_dtconstr(A)=k1_lang1(A)) ) ).
fof(dt_k7_dtconstr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_dtconstr(A) & l1_lang1(A)) )  =>  ( ~ (v1_xboole_0(k7_dtconstr(A)))  & m1_subset_1(k7_dtconstr(A), k1_zfmisc_1(u1_struct_0(A)))) ) ) ).
fof(redefinition_k7_dtconstr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_dtconstr(A) & l1_lang1(A)) )  => k7_dtconstr(A)=k2_lang1(A)) ) ).
fof(dt_m2_dtconstr, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_dtconstr(A) &  (v3_dtconstr(A) & l1_lang1(A)) ) )  & m1_subset_1(B, k7_dtconstr(A)))  =>  (! [C] :  (m2_dtconstr(C, A, B) => m1_trees_4(C, k5_trees_3(u1_struct_0(A)), k4_dtconstr(A))) ) ) ) ).
fof(existence_m2_dtconstr, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_dtconstr(A) &  (v3_dtconstr(A) & l1_lang1(A)) ) )  & m1_subset_1(B, k7_dtconstr(A)))  =>  (? [C] : m2_dtconstr(C, A, B)) ) ) ).
fof(dt_k8_dtconstr, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_dtconstr(A) & l1_lang1(A)) )  & m1_subset_1(B, k6_dtconstr(A)))  => m1_dtconstr(k8_dtconstr(A, B), u1_struct_0(A), k5_trees_3(u1_struct_0(A)), k4_dtconstr(A))) ) ).
fof(redefinition_k8_dtconstr, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_dtconstr(A) & l1_lang1(A)) )  & m1_subset_1(B, k6_dtconstr(A)))  => k8_dtconstr(A, B)=k1_trees_4(B)) ) ).
fof(dt_k9_dtconstr, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_dtconstr(A) &  (v3_dtconstr(A) & l1_lang1(A)) ) )  &  (m1_subset_1(B, k7_dtconstr(A)) & m2_dtconstr(C, A, B)) )  => m1_dtconstr(k9_dtconstr(A, B, C), u1_struct_0(A), k5_trees_3(u1_struct_0(A)), k4_dtconstr(A))) ) ).
fof(redefinition_k9_dtconstr, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_dtconstr(A) &  (v3_dtconstr(A) & l1_lang1(A)) ) )  &  (m1_subset_1(B, k7_dtconstr(A)) & m2_dtconstr(C, A, B)) )  => k9_dtconstr(A, B, C)=k4_trees_4(B, C)) ) ).
fof(dt_k10_dtconstr, axiom,  (! [A, B] :  ( (m1_subset_1(A, k7_dtconstr(k5_dtconstr)) & m1_subset_1(B, k4_dtconstr(k5_dtconstr)))  => m1_dtconstr(k10_dtconstr(A, B), u1_struct_0(k5_dtconstr), k5_trees_3(u1_struct_0(k5_dtconstr)), k4_dtconstr(k5_dtconstr))) ) ).
fof(redefinition_k10_dtconstr, axiom,  (! [A, B] :  ( (m1_subset_1(A, k7_dtconstr(k5_dtconstr)) & m1_subset_1(B, k4_dtconstr(k5_dtconstr)))  => k10_dtconstr(A, B)=k5_trees_4(A, B)) ) ).
fof(dt_k11_dtconstr, axiom,  (! [A] :  (m1_finseq_1(A, k4_ordinal1) => m1_subset_1(k11_dtconstr(A), k4_ordinal1)) ) ).
fof(dt_k12_dtconstr, axiom,  (v1_funct_1(k12_dtconstr) &  (v1_funct_2(k12_dtconstr, k4_dtconstr(k5_dtconstr), k4_ordinal1) & m1_subset_1(k12_dtconstr, k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k5_dtconstr), k4_ordinal1)))) ) ).
fof(dt_k13_dtconstr, axiom,  (! [A] :  (m1_subset_1(A, k4_dtconstr(k5_dtconstr)) => m1_dtconstr(k13_dtconstr(A), u1_struct_0(k5_dtconstr), k5_trees_3(u1_struct_0(k5_dtconstr)), k4_dtconstr(k5_dtconstr))) ) ).
fof(dt_k14_dtconstr, axiom,  (v1_funct_1(k14_dtconstr) &  (v1_funct_2(k14_dtconstr, k4_ordinal1, k4_dtconstr(k5_dtconstr)) & m1_subset_1(k14_dtconstr, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_dtconstr(k5_dtconstr))))) ) ).
fof(dt_k15_dtconstr, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_lang1(A))  &  (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v3_trees_2(B)) ) ) )  => m2_finseq_1(k15_dtconstr(A, B), k1_lang1(A))) ) ).
fof(dt_k16_dtconstr, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_lang1(A))  &  (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v3_trees_2(B)) ) ) )  => m2_finseq_1(k16_dtconstr(A, B), u1_struct_0(A))) ) ).
fof(dt_k17_dtconstr, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_lang1(A))  &  (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v3_trees_2(B)) ) ) )  => m2_finseq_1(k17_dtconstr(A, B), u1_struct_0(A))) ) ).
fof(dt_k18_dtconstr, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_dtconstr(A) & l1_lang1(A)) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k18_dtconstr(A, B), k1_zfmisc_1(k3_finseq_2(k1_lang1(A))))) ) ).
fof(dt_k19_dtconstr, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_dtconstr(A) & l1_lang1(A)) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k19_dtconstr(A, B), k1_zfmisc_1(k3_finseq_2(u1_struct_0(A))))) ) ).
fof(dt_k20_dtconstr, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_dtconstr(A) & l1_lang1(A)) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k20_dtconstr(A, B), k1_zfmisc_1(k3_finseq_2(u1_struct_0(A))))) ) ).
fof(d14_dtconstr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_dtconstr(A) & l1_lang1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k18_dtconstr(A, B)=a_2_0_dtconstr(A, B)) ) ) ) ).
fof(d15_dtconstr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_dtconstr(A) & l1_lang1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k19_dtconstr(A, B)=a_2_1_dtconstr(A, B)) ) ) ) ).
fof(d16_dtconstr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_dtconstr(A) & l1_lang1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k20_dtconstr(A, B)=a_2_2_dtconstr(A, B)) ) ) ) ).
fof(t16_dtconstr, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_dtconstr)) =>  ( (A=k5_numbers => k19_dtconstr(k5_dtconstr, A)=k6_domain_1(k3_finseq_2(k4_ordinal1), k3_pre_poly(k4_ordinal1, k5_numbers)))  &  (A=1 => k19_dtconstr(k5_dtconstr, A)=a_0_0_dtconstr) ) ) ) ).
fof(t18_dtconstr, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_dtconstr)) =>  ( (A=k5_numbers => k20_dtconstr(k5_dtconstr, A)=k6_domain_1(k3_finseq_2(k4_ordinal1), k3_pre_poly(k4_ordinal1, k5_numbers)))  &  (A=1 => k20_dtconstr(k5_dtconstr, A)=a_0_1_dtconstr) ) ) ) ).
fof(s3_dtconstr, axiom,  ( (k9_xtuple_0(f1_s3_dtconstr)=k4_ordinal1 &  (k1_funct_1(f1_s3_dtconstr, k5_numbers)=a_0_2_dtconstr &  (! [A] :  (v7_ordinal1(A) => k1_funct_1(f1_s3_dtconstr, k1_nat_1(A, 1))=k2_xboole_0(k1_funct_1(f1_s3_dtconstr, A), a_1_0_dtconstr(A))) ) ) )  =>  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k5_trees_3(k2_zfmisc_1(u1_struct_0(f2_s3_dtconstr), f3_s3_dtconstr)))) &  (A=k3_card_3(f1_s3_dtconstr) &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(f2_s3_dtconstr)) =>  (r2_tarski(B, k1_lang1(f2_s3_dtconstr)) => r2_tarski(k2_trees_4(k2_zfmisc_1(u1_struct_0(f2_s3_dtconstr), f3_s3_dtconstr), k1_domain_1(u1_struct_0(f2_s3_dtconstr), f3_s3_dtconstr, B, f4_s3_dtconstr(B))), A)) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(f2_s3_dtconstr)) =>  (! [C] :  (m1_trees_4(C, k5_trees_3(k2_zfmisc_1(u1_struct_0(f2_s3_dtconstr), f3_s3_dtconstr)), A) =>  (r1_lang1(f2_s3_dtconstr, B, k2_dtconstr(u1_struct_0(f2_s3_dtconstr), f3_s3_dtconstr, k1_dtconstr(k2_zfmisc_1(u1_struct_0(f2_s3_dtconstr), f3_s3_dtconstr), k5_trees_3(k2_zfmisc_1(u1_struct_0(f2_s3_dtconstr), f3_s3_dtconstr)), C))) => r2_tarski(k8_trees_4(k2_zfmisc_1(u1_struct_0(f2_s3_dtconstr), f3_s3_dtconstr), k1_domain_1(u1_struct_0(f2_s3_dtconstr), f3_s3_dtconstr, B, f5_s3_dtconstr(B, k2_dtconstr(u1_struct_0(f2_s3_dtconstr), f3_s3_dtconstr, k1_dtconstr(k2_zfmisc_1(u1_struct_0(f2_s3_dtconstr), f3_s3_dtconstr), k5_trees_3(k2_zfmisc_1(u1_struct_0(f2_s3_dtconstr), f3_s3_dtconstr)), C)), k3_dtconstr(u1_struct_0(f2_s3_dtconstr), f3_s3_dtconstr, k1_dtconstr(k2_zfmisc_1(u1_struct_0(f2_s3_dtconstr), f3_s3_dtconstr), k5_trees_3(k2_zfmisc_1(u1_struct_0(f2_s3_dtconstr), f3_s3_dtconstr)), C)))), C), A)) ) ) ) )  &  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k5_trees_3(k2_zfmisc_1(u1_struct_0(f2_s3_dtconstr), f3_s3_dtconstr)))) =>  ( ( (! [C] :  (m1_subset_1(C, u1_struct_0(f2_s3_dtconstr)) =>  (r2_tarski(C, k1_lang1(f2_s3_dtconstr)) => r2_tarski(k2_trees_4(k2_zfmisc_1(u1_struct_0(f2_s3_dtconstr), f3_s3_dtconstr), k1_domain_1(u1_struct_0(f2_s3_dtconstr), f3_s3_dtconstr, C, f4_s3_dtconstr(C))), B)) ) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(f2_s3_dtconstr)) =>  (! [D] :  (m1_trees_4(D, k5_trees_3(k2_zfmisc_1(u1_struct_0(f2_s3_dtconstr), f3_s3_dtconstr)), B) =>  (r1_lang1(f2_s3_dtconstr, C, k2_dtconstr(u1_struct_0(f2_s3_dtconstr), f3_s3_dtconstr, k1_dtconstr(k2_zfmisc_1(u1_struct_0(f2_s3_dtconstr), f3_s3_dtconstr), k5_trees_3(k2_zfmisc_1(u1_struct_0(f2_s3_dtconstr), f3_s3_dtconstr)), D))) => r2_tarski(k8_trees_4(k2_zfmisc_1(u1_struct_0(f2_s3_dtconstr), f3_s3_dtconstr), k1_domain_1(u1_struct_0(f2_s3_dtconstr), f3_s3_dtconstr, C, f5_s3_dtconstr(C, k2_dtconstr(u1_struct_0(f2_s3_dtconstr), f3_s3_dtconstr, k1_dtconstr(k2_zfmisc_1(u1_struct_0(f2_s3_dtconstr), f3_s3_dtconstr), k5_trees_3(k2_zfmisc_1(u1_struct_0(f2_s3_dtconstr), f3_s3_dtconstr)), D)), k3_dtconstr(u1_struct_0(f2_s3_dtconstr), f3_s3_dtconstr, k1_dtconstr(k2_zfmisc_1(u1_struct_0(f2_s3_dtconstr), f3_s3_dtconstr), k5_trees_3(k2_zfmisc_1(u1_struct_0(f2_s3_dtconstr), f3_s3_dtconstr)), D)))), D), B)) ) ) ) ) )  => r1_tarski(A, B)) ) ) ) ) ) ) ) ) ).
fof(s4_dtconstr, axiom,  ( (k9_xtuple_0(f1_s4_dtconstr)=k4_ordinal1 &  (k1_funct_1(f1_s4_dtconstr, k5_numbers)=a_0_3_dtconstr &  (! [A] :  (v7_ordinal1(A) => k1_funct_1(f1_s4_dtconstr, k1_nat_1(A, 1))=k2_xboole_0(k1_funct_1(f1_s4_dtconstr, A), a_1_1_dtconstr(A))) ) ) )  =>  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k5_trees_3(u1_struct_0(f2_s4_dtconstr)))) &  (A=a_0_4_dtconstr &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(f2_s4_dtconstr)) =>  (r2_tarski(B, k1_lang1(f2_s4_dtconstr)) => r2_tarski(k2_trees_4(u1_struct_0(f2_s4_dtconstr), B), A)) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(f2_s4_dtconstr)) =>  (! [C] :  (m1_trees_4(C, k5_trees_3(u1_struct_0(f2_s4_dtconstr)), A) =>  (r1_lang1(f2_s4_dtconstr, B, k1_dtconstr(u1_struct_0(f2_s4_dtconstr), k5_trees_3(u1_struct_0(f2_s4_dtconstr)), C)) => r2_tarski(k8_trees_4(u1_struct_0(f2_s4_dtconstr), B, C), A)) ) ) ) )  &  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k5_trees_3(u1_struct_0(f2_s4_dtconstr)))) =>  ( ( (! [C] :  (m1_subset_1(C, u1_struct_0(f2_s4_dtconstr)) =>  (r2_tarski(C, k1_lang1(f2_s4_dtconstr)) => r2_tarski(k2_trees_4(u1_struct_0(f2_s4_dtconstr), C), B)) ) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(f2_s4_dtconstr)) =>  (! [D] :  (m1_trees_4(D, k5_trees_3(u1_struct_0(f2_s4_dtconstr)), B) =>  (r1_lang1(f2_s4_dtconstr, C, k1_dtconstr(u1_struct_0(f2_s4_dtconstr), k5_trees_3(u1_struct_0(f2_s4_dtconstr)), D)) => r2_tarski(k8_trees_4(u1_struct_0(f2_s4_dtconstr), C, D), B)) ) ) ) ) )  => r1_tarski(A, B)) ) ) ) ) ) ) ) ) ).
fof(s5_dtconstr, axiom,  ( (k9_xtuple_0(f1_s5_dtconstr)=k4_ordinal1 &  (k1_funct_1(f1_s5_dtconstr, k5_numbers)=a_0_5_dtconstr &  (! [A] :  (v7_ordinal1(A) => k1_funct_1(f1_s5_dtconstr, k1_nat_1(A, 1))=k2_xboole_0(k1_funct_1(f1_s5_dtconstr, A), a_1_2_dtconstr(A))) ) ) )  =>  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k5_trees_3(k2_zfmisc_1(u1_struct_0(f2_s5_dtconstr), f3_s5_dtconstr))) =>  (r2_tarski(B, k3_card_3(f1_s5_dtconstr)) =>  (r2_tarski(B, k1_funct_1(f1_s5_dtconstr, A)) <=> r1_xxreal_0(k6_trees_1(k9_xtuple_0(B)), A)) ) ) ) ) ) ) ).
fof(s6_dtconstr, axiom,  ( (k9_xtuple_0(f1_s6_dtconstr)=k4_ordinal1 &  (k1_funct_1(f1_s6_dtconstr, k5_numbers)=a_0_6_dtconstr &  (! [A] :  (v7_ordinal1(A) => k1_funct_1(f1_s6_dtconstr, k1_nat_1(A, 1))=k2_xboole_0(k1_funct_1(f1_s6_dtconstr, A), a_1_3_dtconstr(A))) ) ) )  =>  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k2_zfmisc_1(u1_struct_0(f2_s6_dtconstr), f3_s6_dtconstr)) &  (v1_funct_1(A) & v3_trees_2(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k2_zfmisc_1(u1_struct_0(f2_s6_dtconstr), f3_s6_dtconstr)) &  (v1_funct_1(B) & v3_trees_2(B)) ) )  =>  ( (r2_tarski(A, k3_card_3(f1_s6_dtconstr)) &  (r2_tarski(B, k3_card_3(f1_s6_dtconstr)) & k8_trees_3(u1_struct_0(f2_s6_dtconstr), f3_s6_dtconstr, A)=k8_trees_3(u1_struct_0(f2_s6_dtconstr), f3_s6_dtconstr, B)) )  => A=B) ) ) ) ) ) ).
fof(fraenkel_a_2_0_dtconstr, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_dtconstr(B) & l1_lang1(B)) )  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_2_0_dtconstr(B, C)) <=>  (? [D] :  (m1_subset_1(D, k5_trees_3(u1_struct_0(B))) &  (A=k15_dtconstr(B, D) &  (r2_tarski(D, k4_dtconstr(B)) & k1_funct_1(D, k1_xboole_0)=C) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_dtconstr, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_dtconstr(B) & l1_lang1(B)) )  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_2_1_dtconstr(B, C)) <=>  (? [D] :  (m1_subset_1(D, k5_trees_3(u1_struct_0(B))) &  (A=k16_dtconstr(B, D) &  (r2_tarski(D, k4_dtconstr(B)) & k1_funct_1(D, k1_xboole_0)=C) ) ) ) ) ) ) ).
fof(fraenkel_a_2_2_dtconstr, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_dtconstr(B) & l1_lang1(B)) )  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_2_2_dtconstr(B, C)) <=>  (? [D] :  (m1_subset_1(D, k5_trees_3(u1_struct_0(B))) &  (A=k17_dtconstr(B, D) &  (r2_tarski(D, k4_dtconstr(B)) & k1_funct_1(D, k1_xboole_0)=C) ) ) ) ) ) ) ).
fof(fraenkel_a_0_0_dtconstr, axiom,  (! [A] :  (r2_hidden(A, a_0_0_dtconstr) <=>  (? [B] :  (m1_subset_1(B, k4_ordinal1) &  (A=k8_finseq_1(k4_ordinal1, k5_finseq_2(k4_ordinal1, B, 1), k3_pre_poly(k4_ordinal1, k5_numbers)) &  ~ (B=k5_numbers) ) ) ) ) ) ).
fof(fraenkel_a_0_1_dtconstr, axiom,  (! [A] :  (r2_hidden(A, a_0_1_dtconstr) <=>  (? [B] :  (m1_subset_1(B, k4_ordinal1) &  (A=k8_finseq_1(k4_ordinal1, k3_pre_poly(k4_ordinal1, k5_numbers), k5_finseq_2(k4_ordinal1, B, 1)) &  ~ (B=k5_numbers) ) ) ) ) ) ).
fof(fraenkel_a_0_2_dtconstr, axiom,  (! [A] :  (r2_hidden(A, a_0_2_dtconstr) <=>  (? [B, C] :  ( (m1_subset_1(B, u1_struct_0(f2_s3_dtconstr)) & m1_subset_1(C, f3_s3_dtconstr))  &  (A=k2_trees_4(k2_zfmisc_1(u1_struct_0(f2_s3_dtconstr), f3_s3_dtconstr), k1_domain_1(u1_struct_0(f2_s3_dtconstr), f3_s3_dtconstr, B, C)) &  ( (r2_tarski(B, k1_lang1(f2_s3_dtconstr)) & C=f4_s3_dtconstr(B))  |  (r1_lang1(f2_s3_dtconstr, B, k1_xboole_0) & C=f5_s3_dtconstr(B, k1_xboole_0, k1_xboole_0)) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_dtconstr, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_0_dtconstr(B)) <=>  (? [C, D] :  ( (m1_subset_1(C, u1_struct_0(f2_s3_dtconstr)) & m2_finseq_2(D, k1_funct_1(f1_s3_dtconstr, B), k3_finseq_2(k1_funct_1(f1_s3_dtconstr, B))))  &  (A=k4_trees_4(k1_domain_1(u1_struct_0(f2_s3_dtconstr), f3_s3_dtconstr, C, f5_s3_dtconstr(C, k11_mcart_1(k15_trees_3(D)), k12_mcart_1(k15_trees_3(D)))), D) &  (? [E] :  (m2_finseq_1(E, k5_trees_3(k2_zfmisc_1(u1_struct_0(f2_s3_dtconstr), f3_s3_dtconstr))) &  (D=E & r1_lang1(f2_s3_dtconstr, C, k2_dtconstr(u1_struct_0(f2_s3_dtconstr), f3_s3_dtconstr, k1_dtconstr(k2_zfmisc_1(u1_struct_0(f2_s3_dtconstr), f3_s3_dtconstr), k5_trees_3(k2_zfmisc_1(u1_struct_0(f2_s3_dtconstr), f3_s3_dtconstr)), E)))) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_0_3_dtconstr, axiom,  (! [A] :  (r2_hidden(A, a_0_3_dtconstr) <=>  (? [B, C] :  ( (m1_subset_1(B, u1_struct_0(f2_s4_dtconstr)) & m1_subset_1(C, f3_s4_dtconstr))  &  (A=k2_trees_4(k2_zfmisc_1(u1_struct_0(f2_s4_dtconstr), f3_s4_dtconstr), k1_domain_1(u1_struct_0(f2_s4_dtconstr), f3_s4_dtconstr, B, C)) &  ( (r2_tarski(B, k1_lang1(f2_s4_dtconstr)) & C=f4_s4_dtconstr(B))  |  (r1_lang1(f2_s4_dtconstr, B, k1_xboole_0) & C=f5_s4_dtconstr(B, k1_xboole_0, k1_xboole_0)) ) ) ) ) ) ) ).
fof(fraenkel_a_1_1_dtconstr, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_1_dtconstr(B)) <=>  (? [C, D] :  ( (m1_subset_1(C, u1_struct_0(f2_s4_dtconstr)) & m2_finseq_2(D, k1_funct_1(f1_s4_dtconstr, B), k3_finseq_2(k1_funct_1(f1_s4_dtconstr, B))))  &  (A=k4_trees_4(k1_domain_1(u1_struct_0(f2_s4_dtconstr), f3_s4_dtconstr, C, f5_s4_dtconstr(C, k11_mcart_1(k15_trees_3(D)), k12_mcart_1(k15_trees_3(D)))), D) &  (? [E] :  (m2_finseq_1(E, k5_trees_3(k2_zfmisc_1(u1_struct_0(f2_s4_dtconstr), f3_s4_dtconstr))) &  (D=E & r1_lang1(f2_s4_dtconstr, C, k2_dtconstr(u1_struct_0(f2_s4_dtconstr), f3_s4_dtconstr, k1_dtconstr(k2_zfmisc_1(u1_struct_0(f2_s4_dtconstr), f3_s4_dtconstr), k5_trees_3(k2_zfmisc_1(u1_struct_0(f2_s4_dtconstr), f3_s4_dtconstr)), E)))) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_0_4_dtconstr, axiom,  (! [A] :  (r2_hidden(A, a_0_4_dtconstr) <=>  (? [B] :  (m1_subset_1(B, k5_trees_3(k2_zfmisc_1(u1_struct_0(f2_s4_dtconstr), f3_s4_dtconstr))) &  (A=k8_trees_3(u1_struct_0(f2_s4_dtconstr), f3_s4_dtconstr, B) & r2_tarski(B, k3_card_3(f1_s4_dtconstr))) ) ) ) ) ).
fof(fraenkel_a_0_5_dtconstr, axiom,  (! [A] :  (r2_hidden(A, a_0_5_dtconstr) <=>  (? [B, C] :  ( (m1_subset_1(B, u1_struct_0(f2_s5_dtconstr)) & m1_subset_1(C, f3_s5_dtconstr))  &  (A=k2_trees_4(k2_zfmisc_1(u1_struct_0(f2_s5_dtconstr), f3_s5_dtconstr), k1_domain_1(u1_struct_0(f2_s5_dtconstr), f3_s5_dtconstr, B, C)) &  ( (r2_tarski(B, k1_lang1(f2_s5_dtconstr)) & C=f4_s5_dtconstr(B))  |  (r1_lang1(f2_s5_dtconstr, B, k1_xboole_0) & C=f5_s5_dtconstr(B, k1_xboole_0, k1_xboole_0)) ) ) ) ) ) ) ).
fof(fraenkel_a_1_2_dtconstr, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_2_dtconstr(B)) <=>  (? [C, D] :  ( (m1_subset_1(C, u1_struct_0(f2_s5_dtconstr)) & m2_finseq_2(D, k1_funct_1(f1_s5_dtconstr, B), k3_finseq_2(k1_funct_1(f1_s5_dtconstr, B))))  &  (A=k4_trees_4(k1_domain_1(u1_struct_0(f2_s5_dtconstr), f3_s5_dtconstr, C, f5_s5_dtconstr(C, k11_mcart_1(k15_trees_3(D)), k12_mcart_1(k15_trees_3(D)))), D) &  (? [E] :  (m2_finseq_1(E, k5_trees_3(k2_zfmisc_1(u1_struct_0(f2_s5_dtconstr), f3_s5_dtconstr))) &  (D=E & r1_lang1(f2_s5_dtconstr, C, k2_dtconstr(u1_struct_0(f2_s5_dtconstr), f3_s5_dtconstr, k1_dtconstr(k2_zfmisc_1(u1_struct_0(f2_s5_dtconstr), f3_s5_dtconstr), k5_trees_3(k2_zfmisc_1(u1_struct_0(f2_s5_dtconstr), f3_s5_dtconstr)), E)))) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_0_6_dtconstr, axiom,  (! [A] :  (r2_hidden(A, a_0_6_dtconstr) <=>  (? [B, C] :  ( (m1_subset_1(B, u1_struct_0(f2_s6_dtconstr)) & m1_subset_1(C, f3_s6_dtconstr))  &  (A=k2_trees_4(k2_zfmisc_1(u1_struct_0(f2_s6_dtconstr), f3_s6_dtconstr), k1_domain_1(u1_struct_0(f2_s6_dtconstr), f3_s6_dtconstr, B, C)) &  ( (r2_tarski(B, k1_lang1(f2_s6_dtconstr)) & C=f4_s6_dtconstr(B))  |  (r1_lang1(f2_s6_dtconstr, B, k1_xboole_0) & C=f5_s6_dtconstr(B, k1_xboole_0, k1_xboole_0)) ) ) ) ) ) ) ).
fof(fraenkel_a_1_3_dtconstr, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_3_dtconstr(B)) <=>  (? [C, D] :  ( (m1_subset_1(C, u1_struct_0(f2_s6_dtconstr)) & m2_finseq_2(D, k1_funct_1(f1_s6_dtconstr, B), k3_finseq_2(k1_funct_1(f1_s6_dtconstr, B))))  &  (A=k4_trees_4(k1_domain_1(u1_struct_0(f2_s6_dtconstr), f3_s6_dtconstr, C, f5_s6_dtconstr(C, k11_mcart_1(k15_trees_3(D)), k12_mcart_1(k15_trees_3(D)))), D) &  (? [E] :  (m2_finseq_1(E, k5_trees_3(k2_zfmisc_1(u1_struct_0(f2_s6_dtconstr), f3_s6_dtconstr))) &  (D=E & r1_lang1(f2_s6_dtconstr, C, k2_dtconstr(u1_struct_0(f2_s6_dtconstr), f3_s6_dtconstr, k1_dtconstr(k2_zfmisc_1(u1_struct_0(f2_s6_dtconstr), f3_s6_dtconstr), k5_trees_3(k2_zfmisc_1(u1_struct_0(f2_s6_dtconstr), f3_s6_dtconstr)), E)))) ) ) ) ) ) ) ) ) ).
fof(fc1_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k5_dualsp01(A)))  &  (v13_algstr_0(k5_dualsp01(A)) &  (v1_rlvect_1(k5_dualsp01(A)) &  (v2_rlvect_1(k5_dualsp01(A)) &  (v3_rlvect_1(k5_dualsp01(A)) &  (v4_rlvect_1(k5_dualsp01(A)) &  (v5_rlvect_1(k5_dualsp01(A)) &  (v6_rlvect_1(k5_dualsp01(A)) &  (v7_rlvect_1(k5_dualsp01(A)) &  (v8_rlvect_1(k5_dualsp01(A)) & v1_monoid_0(k5_dualsp01(A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc2_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ~ (v1_xboole_0(k7_dualsp01(A))) ) ) ).
fof(fc3_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k7_dualsp01(A)))  & v4_funct_1(k7_dualsp01(A))) ) ) ).
fof(fc4_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (v13_algstr_0(g1_rlvect_1(k7_dualsp01(A), k7_rsspace(k10_funcsdom(u1_struct_0(A)), k7_dualsp01(A)), k5_rsspace(k10_funcsdom(u1_struct_0(A)), k7_dualsp01(A)), k6_rsspace(k10_funcsdom(u1_struct_0(A)), k7_dualsp01(A)))) &  (v1_rlvect_1(g1_rlvect_1(k7_dualsp01(A), k7_rsspace(k10_funcsdom(u1_struct_0(A)), k7_dualsp01(A)), k5_rsspace(k10_funcsdom(u1_struct_0(A)), k7_dualsp01(A)), k6_rsspace(k10_funcsdom(u1_struct_0(A)), k7_dualsp01(A)))) &  (v2_rlvect_1(g1_rlvect_1(k7_dualsp01(A), k7_rsspace(k10_funcsdom(u1_struct_0(A)), k7_dualsp01(A)), k5_rsspace(k10_funcsdom(u1_struct_0(A)), k7_dualsp01(A)), k6_rsspace(k10_funcsdom(u1_struct_0(A)), k7_dualsp01(A)))) &  (v3_rlvect_1(g1_rlvect_1(k7_dualsp01(A), k7_rsspace(k10_funcsdom(u1_struct_0(A)), k7_dualsp01(A)), k5_rsspace(k10_funcsdom(u1_struct_0(A)), k7_dualsp01(A)), k6_rsspace(k10_funcsdom(u1_struct_0(A)), k7_dualsp01(A)))) &  (v4_rlvect_1(g1_rlvect_1(k7_dualsp01(A), k7_rsspace(k10_funcsdom(u1_struct_0(A)), k7_dualsp01(A)), k5_rsspace(k10_funcsdom(u1_struct_0(A)), k7_dualsp01(A)), k6_rsspace(k10_funcsdom(u1_struct_0(A)), k7_dualsp01(A)))) &  (v5_rlvect_1(g1_rlvect_1(k7_dualsp01(A), k7_rsspace(k10_funcsdom(u1_struct_0(A)), k7_dualsp01(A)), k5_rsspace(k10_funcsdom(u1_struct_0(A)), k7_dualsp01(A)), k6_rsspace(k10_funcsdom(u1_struct_0(A)), k7_dualsp01(A)))) &  (v6_rlvect_1(g1_rlvect_1(k7_dualsp01(A), k7_rsspace(k10_funcsdom(u1_struct_0(A)), k7_dualsp01(A)), k5_rsspace(k10_funcsdom(u1_struct_0(A)), k7_dualsp01(A)), k6_rsspace(k10_funcsdom(u1_struct_0(A)), k7_dualsp01(A)))) &  (v7_rlvect_1(g1_rlvect_1(k7_dualsp01(A), k7_rsspace(k10_funcsdom(u1_struct_0(A)), k7_dualsp01(A)), k5_rsspace(k10_funcsdom(u1_struct_0(A)), k7_dualsp01(A)), k6_rsspace(k10_funcsdom(u1_struct_0(A)), k7_dualsp01(A)))) & v8_rlvect_1(g1_rlvect_1(k7_dualsp01(A), k7_rsspace(k10_funcsdom(u1_struct_0(A)), k7_dualsp01(A)), k5_rsspace(k10_funcsdom(u1_struct_0(A)), k7_dualsp01(A)), k6_rsspace(k10_funcsdom(u1_struct_0(A)), k7_dualsp01(A))))) ) ) ) ) ) ) ) ) ) ).
fof(fc5_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k8_dualsp01(A)))  &  (v13_algstr_0(k8_dualsp01(A)) &  (v1_rlvect_1(k8_dualsp01(A)) &  (v2_rlvect_1(k8_dualsp01(A)) &  (v3_rlvect_1(k8_dualsp01(A)) &  (v4_rlvect_1(k8_dualsp01(A)) &  (v5_rlvect_1(k8_dualsp01(A)) &  (v6_rlvect_1(k8_dualsp01(A)) &  (v7_rlvect_1(k8_dualsp01(A)) &  (v8_rlvect_1(k8_dualsp01(A)) & v1_monoid_0(k8_dualsp01(A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))) &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v5_relat_1(B, k1_numbers) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) &  (v1_hahnban(B, A) &  (v2_hahnban(B, A) &  (v3_hahnban(B, A) &  (v4_hahnban(B, A) & v1_dualsp01(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc6_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ~ (v1_xboole_0(k11_dualsp01(A))) ) ) ).
fof(fc7_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (v13_algstr_0(g1_rlvect_1(k11_dualsp01(A), k7_rsspace(k8_dualsp01(A), k11_dualsp01(A)), k5_rsspace(k8_dualsp01(A), k11_dualsp01(A)), k6_rsspace(k8_dualsp01(A), k11_dualsp01(A)))) &  (v1_rlvect_1(g1_rlvect_1(k11_dualsp01(A), k7_rsspace(k8_dualsp01(A), k11_dualsp01(A)), k5_rsspace(k8_dualsp01(A), k11_dualsp01(A)), k6_rsspace(k8_dualsp01(A), k11_dualsp01(A)))) &  (v2_rlvect_1(g1_rlvect_1(k11_dualsp01(A), k7_rsspace(k8_dualsp01(A), k11_dualsp01(A)), k5_rsspace(k8_dualsp01(A), k11_dualsp01(A)), k6_rsspace(k8_dualsp01(A), k11_dualsp01(A)))) &  (v3_rlvect_1(g1_rlvect_1(k11_dualsp01(A), k7_rsspace(k8_dualsp01(A), k11_dualsp01(A)), k5_rsspace(k8_dualsp01(A), k11_dualsp01(A)), k6_rsspace(k8_dualsp01(A), k11_dualsp01(A)))) &  (v4_rlvect_1(g1_rlvect_1(k11_dualsp01(A), k7_rsspace(k8_dualsp01(A), k11_dualsp01(A)), k5_rsspace(k8_dualsp01(A), k11_dualsp01(A)), k6_rsspace(k8_dualsp01(A), k11_dualsp01(A)))) &  (v5_rlvect_1(g1_rlvect_1(k11_dualsp01(A), k7_rsspace(k8_dualsp01(A), k11_dualsp01(A)), k5_rsspace(k8_dualsp01(A), k11_dualsp01(A)), k6_rsspace(k8_dualsp01(A), k11_dualsp01(A)))) &  (v6_rlvect_1(g1_rlvect_1(k11_dualsp01(A), k7_rsspace(k8_dualsp01(A), k11_dualsp01(A)), k5_rsspace(k8_dualsp01(A), k11_dualsp01(A)), k6_rsspace(k8_dualsp01(A), k11_dualsp01(A)))) &  (v7_rlvect_1(g1_rlvect_1(k11_dualsp01(A), k7_rsspace(k8_dualsp01(A), k11_dualsp01(A)), k5_rsspace(k8_dualsp01(A), k11_dualsp01(A)), k6_rsspace(k8_dualsp01(A), k11_dualsp01(A)))) & v8_rlvect_1(g1_rlvect_1(k11_dualsp01(A), k7_rsspace(k8_dualsp01(A), k11_dualsp01(A)), k5_rsspace(k8_dualsp01(A), k11_dualsp01(A)), k6_rsspace(k8_dualsp01(A), k11_dualsp01(A))))) ) ) ) ) ) ) ) ) ) ).
fof(cc1_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k12_dualsp01(A))) =>  (v1_relat_1(B) & v1_funct_1(B)) ) ) ) ) ).
fof(fc8_dualsp01, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_hahnban(B, A) &  (v3_hahnban(B, A) &  (v1_dualsp01(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k15_dualsp01(A, B)))  & v4_xxreal_2(k15_dualsp01(A, B))) ) ) ).
fof(cc2_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k17_dualsp01(A))) =>  (v1_relat_1(B) & v1_funct_1(B)) ) ) ) ) ).
fof(fc9_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k17_dualsp01(A)))  &  (v3_normsp_0(k17_dualsp01(A)) &  (v4_normsp_0(k17_dualsp01(A)) & v2_normsp_1(k17_dualsp01(A))) ) ) ) ) ).
fof(fc10_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k17_dualsp01(A)))  &  (v13_algstr_0(k17_dualsp01(A)) &  (v2_rlvect_1(k17_dualsp01(A)) &  (v3_rlvect_1(k17_dualsp01(A)) &  (v4_rlvect_1(k17_dualsp01(A)) &  (v5_rlvect_1(k17_dualsp01(A)) &  (v6_rlvect_1(k17_dualsp01(A)) &  (v7_rlvect_1(k17_dualsp01(A)) &  (v8_rlvect_1(k17_dualsp01(A)) &  (v3_normsp_0(k17_dualsp01(A)) &  (v4_normsp_0(k17_dualsp01(A)) & v2_normsp_1(k17_dualsp01(A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc11_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k17_dualsp01(A)))  & v3_lopban_1(k17_dualsp01(A))) ) ) ).
fof(d1_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  => k1_dualsp01(A)=u1_rlvect_1(A)) ) ).
fof(t1_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(g1_vectsp_1(k2_vectsp_1, u1_struct_0(A), u1_algstr_0(A), u2_struct_0(A), k1_dualsp01(A))))  &  (v13_algstr_0(g1_vectsp_1(k2_vectsp_1, u1_struct_0(A), u1_algstr_0(A), u2_struct_0(A), k1_dualsp01(A))) &  (v2_rlvect_1(g1_vectsp_1(k2_vectsp_1, u1_struct_0(A), u1_algstr_0(A), u2_struct_0(A), k1_dualsp01(A))) &  (v3_rlvect_1(g1_vectsp_1(k2_vectsp_1, u1_struct_0(A), u1_algstr_0(A), u2_struct_0(A), k1_dualsp01(A))) &  (v4_rlvect_1(g1_vectsp_1(k2_vectsp_1, u1_struct_0(A), u1_algstr_0(A), u2_struct_0(A), k1_dualsp01(A))) &  (v8_vectsp_1(g1_vectsp_1(k2_vectsp_1, u1_struct_0(A), u1_algstr_0(A), u2_struct_0(A), k1_dualsp01(A)), k2_vectsp_1) &  (v9_vectsp_1(g1_vectsp_1(k2_vectsp_1, u1_struct_0(A), u1_algstr_0(A), u2_struct_0(A), k1_dualsp01(A)), k2_vectsp_1) &  (v10_vectsp_1(g1_vectsp_1(k2_vectsp_1, u1_struct_0(A), u1_algstr_0(A), u2_struct_0(A), k1_dualsp01(A)), k2_vectsp_1) &  (v11_vectsp_1(g1_vectsp_1(k2_vectsp_1, u1_struct_0(A), u1_algstr_0(A), u2_struct_0(A), k1_dualsp01(A)), k2_vectsp_1) & l1_vectsp_1(g1_vectsp_1(k2_vectsp_1, u1_struct_0(A), u1_algstr_0(A), u2_struct_0(A), k1_dualsp01(A)), k2_vectsp_1)) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  => k2_dualsp01(A)=g1_vectsp_1(k2_vectsp_1, u1_struct_0(A), u1_algstr_0(A), u2_struct_0(A), k1_dualsp01(A))) ) ).
fof(d3_dualsp01, axiom,  (! [A] :  (l1_vectsp_1(A, k2_vectsp_1) => k3_dualsp01(A)=u1_vectsp_1(k2_vectsp_1, A)) ) ).
fof(t2_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k2_vectsp_1) &  (v9_vectsp_1(A, k2_vectsp_1) &  (v10_vectsp_1(A, k2_vectsp_1) &  (v11_vectsp_1(A, k2_vectsp_1) & l1_vectsp_1(A, k2_vectsp_1)) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(g1_rlvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), k3_dualsp01(A))))  &  (v13_algstr_0(g1_rlvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), k3_dualsp01(A))) &  (v2_rlvect_1(g1_rlvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), k3_dualsp01(A))) &  (v3_rlvect_1(g1_rlvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), k3_dualsp01(A))) &  (v4_rlvect_1(g1_rlvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), k3_dualsp01(A))) &  (v5_rlvect_1(g1_rlvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), k3_dualsp01(A))) &  (v6_rlvect_1(g1_rlvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), k3_dualsp01(A))) &  (v7_rlvect_1(g1_rlvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), k3_dualsp01(A))) &  (v8_rlvect_1(g1_rlvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), k3_dualsp01(A))) & l1_rlvect_1(g1_rlvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), k3_dualsp01(A)))) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k2_vectsp_1) &  (v9_vectsp_1(A, k2_vectsp_1) &  (v10_vectsp_1(A, k2_vectsp_1) &  (v11_vectsp_1(A, k2_vectsp_1) & l1_vectsp_1(A, k2_vectsp_1)) ) ) ) ) ) ) ) )  => k4_dualsp01(A)=g1_rlvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), k3_dualsp01(A))) ) ).
fof(t3_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_dualsp01(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_dualsp01(A))) =>  ( (B=D & C=E)  =>  (k3_rlvect_1(A, B, C)=k3_rlvect_1(k2_dualsp01(A), D, E) & k5_algstr_0(A, B, C)=k5_algstr_0(k2_dualsp01(A), D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k2_vectsp_1) &  (v9_vectsp_1(A, k2_vectsp_1) &  (v10_vectsp_1(A, k2_vectsp_1) &  (v11_vectsp_1(A, k2_vectsp_1) & l1_vectsp_1(A, k2_vectsp_1)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k4_dualsp01(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k4_dualsp01(A))) =>  ( (B=D & C=E)  =>  (k3_rlvect_1(A, B, C)=k3_rlvect_1(k4_dualsp01(A), D, E) & k5_algstr_0(A, B, C)=k5_algstr_0(k4_dualsp01(A), D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v1_rlvect_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) ) )  =>  (B=k5_dualsp01(A) <=>  (? [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, k2_vectsp_1) &  (v9_vectsp_1(C, k2_vectsp_1) &  (v10_vectsp_1(C, k2_vectsp_1) &  (v11_vectsp_1(C, k2_vectsp_1) & l1_vectsp_1(C, k2_vectsp_1)) ) ) ) ) ) ) ) )  &  (C=k2_dualsp01(A) & B=k4_dualsp01(k8_hahnban1(k2_vectsp_1, C))) ) ) ) ) ) ) ) ).
fof(t5_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (r2_hidden(B, u1_struct_0(k5_dualsp01(A))) <=>  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_hahnban(B, A) &  (v3_hahnban(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) ) ) ) ) ).
fof(t6_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_dualsp01(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_dualsp01(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_dualsp01(A))) =>  (D=k3_rlvect_1(k5_dualsp01(A), B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k6_dualsp01(A, D, E)=k2_xcmplx_0(k6_dualsp01(A, B, E), k6_dualsp01(A, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_dualsp01(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_dualsp01(A))) =>  (! [D] :  (v1_xreal_0(D) =>  (C=k1_rlvect_1(k5_dualsp01(A), B, D) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k6_dualsp01(A, C, E)=k3_xcmplx_0(D, k6_dualsp01(A, B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  => k4_struct_0(k5_dualsp01(A))=k8_funcop_1(k4_ordinal1, u1_struct_0(A), k5_numbers)) ) ).
fof(t9_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k8_funcop_1(k4_ordinal1, u1_struct_0(A), k5_numbers)) &  (v1_funct_2(k8_funcop_1(k4_ordinal1, u1_struct_0(A), k5_numbers), u1_struct_0(A), k1_numbers) &  (v2_hahnban(k8_funcop_1(k4_ordinal1, u1_struct_0(A), k5_numbers), A) &  (v3_hahnban(k8_funcop_1(k4_ordinal1, u1_struct_0(A), k5_numbers), A) & m1_subset_1(k8_funcop_1(k4_ordinal1, u1_struct_0(A), k5_numbers), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) ) ) ).
fof(d6_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k10_funcsdom(u1_struct_0(A))))) =>  (B=k7_dualsp01(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) &  (v2_hahnban(C, A) &  (v3_hahnban(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  => v1_rlsub_1(k7_dualsp01(A), k10_funcsdom(u1_struct_0(A)))) ) ).
fof(t11_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  => m1_rlsub_1(g1_rlvect_1(k7_dualsp01(A), k7_rsspace(k10_funcsdom(u1_struct_0(A)), k7_dualsp01(A)), k5_rsspace(k10_funcsdom(u1_struct_0(A)), k7_dualsp01(A)), k6_rsspace(k10_funcsdom(u1_struct_0(A)), k7_dualsp01(A))), k10_funcsdom(u1_struct_0(A)))) ) ).
fof(d7_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  => k8_dualsp01(A)=g1_rlvect_1(k7_dualsp01(A), k7_rsspace(k10_funcsdom(u1_struct_0(A)), k7_dualsp01(A)), k5_rsspace(k10_funcsdom(u1_struct_0(A)), k7_dualsp01(A)), k6_rsspace(k10_funcsdom(u1_struct_0(A)), k7_dualsp01(A)))) ) ).
fof(t12_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k8_dualsp01(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k8_dualsp01(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k8_dualsp01(A))) =>  (D=k3_rlvect_1(k8_dualsp01(A), B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k9_dualsp01(A, D, E)=k2_xcmplx_0(k9_dualsp01(A, B, E), k9_dualsp01(A, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k8_dualsp01(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k8_dualsp01(A))) =>  (! [D] :  (v1_xreal_0(D) =>  (C=k1_rlvect_1(k8_dualsp01(A), B, D) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k9_dualsp01(A, C, E)=k3_xcmplx_0(D, k9_dualsp01(A, B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  => k4_struct_0(k8_dualsp01(A))=k8_funcop_1(k4_ordinal1, u1_struct_0(A), k5_numbers)) ) ).
fof(d8_dualsp01, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (C=k10_dualsp01(A, B) <=>  (! [D] :  (v7_ordinal1(D) => k8_nat_1(k1_numbers, C, D)=k6_xcmplx_0(k8_nat_1(k1_numbers, A, D), B)) ) ) ) ) ) ) ) ) ).
fof(t15_dualsp01, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  (v1_xreal_0(B) =>  (v2_comseq_2(A) =>  (v2_comseq_2(k10_dualsp01(A, B)) & k1_seq_2(k10_dualsp01(A, B))=k6_xcmplx_0(k1_seq_2(A), B)) ) ) ) ) ) ).
fof(d9_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (v1_dualsp01(B, A) <=>  (? [C] :  (v1_xreal_0(C) &  (r1_xxreal_0(k5_numbers, C) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_xxreal_0(k9_complex1(k3_funct_2(u1_struct_0(A), k1_numbers, B, D)), k3_xcmplx_0(C, k2_normsp_0(A, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t16_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k1_numbers, B, C)=k5_numbers) )  => v1_dualsp01(B, A)) ) ) ) ) ).
fof(d10_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k8_dualsp01(A)))) =>  (B=k11_dualsp01(A) <=>  (! [C] :  (r2_tarski(C, B) <=>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) &  (v2_hahnban(C, A) &  (v3_hahnban(C, A) &  (v1_dualsp01(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  => v1_rlsub_1(k11_dualsp01(A), k8_dualsp01(A))) ) ).
fof(t18_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  => m1_rlsub_1(g1_rlvect_1(k11_dualsp01(A), k7_rsspace(k8_dualsp01(A), k11_dualsp01(A)), k5_rsspace(k8_dualsp01(A), k11_dualsp01(A)), k6_rsspace(k8_dualsp01(A), k11_dualsp01(A))), k8_dualsp01(A))) ) ).
fof(d11_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  => k12_dualsp01(A)=g1_rlvect_1(k11_dualsp01(A), k7_rsspace(k8_dualsp01(A), k11_dualsp01(A)), k5_rsspace(k8_dualsp01(A), k11_dualsp01(A)), k6_rsspace(k8_dualsp01(A), k11_dualsp01(A)))) ) ).
fof(t19_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k12_dualsp01(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k12_dualsp01(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k12_dualsp01(A))) =>  (D=k3_rlvect_1(k12_dualsp01(A), B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k13_dualsp01(A, D, E)=k2_xcmplx_0(k13_dualsp01(A, B, E), k13_dualsp01(A, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k12_dualsp01(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k12_dualsp01(A))) =>  (! [D] :  (v1_xreal_0(D) =>  (C=k1_rlvect_1(k12_dualsp01(A), B, D) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k13_dualsp01(A, C, E)=k3_xcmplx_0(D, k13_dualsp01(A, B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  => k4_struct_0(k12_dualsp01(A))=k8_funcop_1(k4_ordinal1, u1_struct_0(A), k5_numbers)) ) ).
fof(d12_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] : k14_dualsp01(A, B)=k10_subset_1(B, k11_dualsp01(A))) ) ) ).
fof(t22_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_hahnban(B, A) &  (v3_hahnban(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) )  =>  (v1_dualsp01(B, A) <=> v4_xxreal_2(k15_dualsp01(A, B))) ) ) ) ) ).
fof(d14_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k11_dualsp01(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k11_dualsp01(A), k1_numbers)))) )  =>  (B=k16_dualsp01(A) <=>  (! [C] :  (r2_hidden(C, k11_dualsp01(A)) => k1_funct_1(B, C)=k2_seq_4(k15_dualsp01(A, k14_dualsp01(A, C)))) ) ) ) ) ) ) ).
fof(t23_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_hahnban(B, A) &  (v3_hahnban(B, A) &  (v1_dualsp01(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) )  => r2_funct_2(u1_struct_0(A), k1_numbers, k14_dualsp01(A, B), B)) ) ) ) ).
fof(t24_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_hahnban(B, A) &  (v3_hahnban(B, A) &  (v1_dualsp01(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) )  => k1_funct_1(k16_dualsp01(A), B)=k2_seq_4(k15_dualsp01(A, B))) ) ) ) ).
fof(d15_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  => k17_dualsp01(A)=g1_normsp_1(k11_dualsp01(A), k7_rsspace(k8_dualsp01(A), k11_dualsp01(A)), k5_rsspace(k8_dualsp01(A), k11_dualsp01(A)), k6_rsspace(k8_dualsp01(A), k11_dualsp01(A)), k16_dualsp01(A))) ) ).
fof(t25_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  => k8_funcop_1(k4_ordinal1, u1_struct_0(A), k5_numbers)=k4_struct_0(k17_dualsp01(A))) ) ).
fof(t26_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k17_dualsp01(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) &  (v2_hahnban(C, A) &  (v3_hahnban(C, A) &  (v1_dualsp01(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) )  =>  (C=B =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_xxreal_0(k9_complex1(k3_funct_2(u1_struct_0(A), k1_numbers, C, D)), k3_xcmplx_0(k2_normsp_0(k17_dualsp01(A), B), k2_normsp_0(A, D)))) ) ) ) ) ) ) ) ) ).
fof(t27_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k17_dualsp01(A))) => r1_xxreal_0(k5_numbers, k2_normsp_0(k17_dualsp01(A), B))) ) ) ) ).
fof(t28_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k17_dualsp01(A))) =>  (C=k4_struct_0(k17_dualsp01(A)) => k5_numbers=k2_normsp_0(k17_dualsp01(A), C)) ) ) ) ) ) ) ).
fof(t29_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k17_dualsp01(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k17_dualsp01(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k17_dualsp01(A))) =>  (D=k1_algstr_0(k17_dualsp01(A), B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k18_dualsp01(A, D, E)=k2_xcmplx_0(k18_dualsp01(A, B, E), k18_dualsp01(A, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k17_dualsp01(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k17_dualsp01(A))) =>  (! [D] :  (v1_xreal_0(D) =>  (C=k1_rlvect_1(k17_dualsp01(A), B, D) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k18_dualsp01(A, C, E)=k3_xcmplx_0(D, k18_dualsp01(A, B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k17_dualsp01(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k17_dualsp01(A))) =>  (! [D] :  (v1_xreal_0(D) =>  ( (k2_normsp_0(k17_dualsp01(A), B)=k5_numbers => B=k4_struct_0(k17_dualsp01(A)))  &  ( (B=k4_struct_0(k17_dualsp01(A)) => k2_normsp_0(k17_dualsp01(A), B)=k5_numbers)  &  (k2_normsp_0(k17_dualsp01(A), k1_rlvect_1(k17_dualsp01(A), B, D))=k3_xcmplx_0(k9_complex1(D), k2_normsp_0(k17_dualsp01(A), B)) & r1_xxreal_0(k2_normsp_0(k17_dualsp01(A), k1_algstr_0(k17_dualsp01(A), B, C)), k2_xcmplx_0(k2_normsp_0(k17_dualsp01(A), B), k2_normsp_0(k17_dualsp01(A), C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k17_dualsp01(A)))  &  (v13_algstr_0(k17_dualsp01(A)) &  (v2_rlvect_1(k17_dualsp01(A)) &  (v3_rlvect_1(k17_dualsp01(A)) &  (v4_rlvect_1(k17_dualsp01(A)) &  (v5_rlvect_1(k17_dualsp01(A)) &  (v6_rlvect_1(k17_dualsp01(A)) &  (v7_rlvect_1(k17_dualsp01(A)) &  (v8_rlvect_1(k17_dualsp01(A)) &  (v3_normsp_0(k17_dualsp01(A)) &  (v4_normsp_0(k17_dualsp01(A)) &  (v2_normsp_1(k17_dualsp01(A)) & l1_normsp_1(k17_dualsp01(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k17_dualsp01(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k17_dualsp01(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k17_dualsp01(A))) =>  (D=k5_algstr_0(k17_dualsp01(A), B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k18_dualsp01(A, D, E)=k6_xcmplx_0(k18_dualsp01(A, B, E), k18_dualsp01(A, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k17_dualsp01(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k17_dualsp01(A)))))) )  =>  (v1_rsspace3(B, k17_dualsp01(A)) => v3_normsp_1(B, k17_dualsp01(A))) ) ) ) ) ).
fof(t35_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k17_dualsp01(A)))  &  (v13_algstr_0(k17_dualsp01(A)) &  (v2_rlvect_1(k17_dualsp01(A)) &  (v3_rlvect_1(k17_dualsp01(A)) &  (v4_rlvect_1(k17_dualsp01(A)) &  (v5_rlvect_1(k17_dualsp01(A)) &  (v6_rlvect_1(k17_dualsp01(A)) &  (v7_rlvect_1(k17_dualsp01(A)) &  (v8_rlvect_1(k17_dualsp01(A)) &  (v3_normsp_0(k17_dualsp01(A)) &  (v4_normsp_0(k17_dualsp01(A)) &  (v2_normsp_1(k17_dualsp01(A)) &  (v3_lopban_1(k17_dualsp01(A)) & l1_normsp_1(k17_dualsp01(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (m1_dualsp01(B, A) <=>  (r1_tarski(u1_struct_0(B), u1_struct_0(A)) &  (k4_struct_0(B)=k4_struct_0(A) &  (u1_algstr_0(B)=k1_realset1(u1_algstr_0(A), u1_struct_0(B)) &  (u1_rlvect_1(B)=k5_relat_1(u1_rlvect_1(A), k2_zfmisc_1(k1_numbers, u1_struct_0(B))) & u1_normsp_0(B)=k5_relat_1(u1_normsp_0(A), u1_struct_0(B))) ) ) ) ) ) ) ) ) ).
fof(t36_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_dualsp01(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), k1_numbers) &  (v2_hahnban(C, B) &  (v3_hahnban(C, B) &  (v1_dualsp01(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_numbers)))) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k17_dualsp01(B))) =>  ~ ( (C=D &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), k1_numbers) &  (v2_hahnban(E, A) &  (v3_hahnban(E, A) &  (v1_dualsp01(E, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) )  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k17_dualsp01(A))) =>  ~ ( (E=F &  (k5_relat_1(E, u1_struct_0(B))=C & k2_normsp_0(k17_dualsp01(A), F)=k2_normsp_0(k17_dualsp01(B), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_dualsp01(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), k1_numbers) &  (v2_hahnban(C, B) &  (v3_hahnban(C, B) &  (v1_dualsp01(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_numbers)))) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k17_dualsp01(B))) =>  ~ ( (C=D &  ( (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (E=F => r1_xxreal_0(k3_funct_2(u1_struct_0(B), k1_numbers, C, E), k2_normsp_0(A, F))) ) ) ) )  &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), k1_numbers) &  (v2_hahnban(E, A) &  (v3_hahnban(E, A) &  (v1_dualsp01(E, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) )  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k17_dualsp01(A))) =>  ~ ( (E=F &  (k5_relat_1(E, u1_struct_0(B))=C &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r1_xxreal_0(k3_funct_2(u1_struct_0(A), k1_numbers, E, G), k2_normsp_0(A, G)) & k2_normsp_0(k17_dualsp01(A), F)=k2_normsp_0(k17_dualsp01(B), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k1_dualsp01(A)) &  (v1_funct_2(k1_dualsp01(A), k2_zfmisc_1(u1_struct_0(k2_vectsp_1), u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(k1_dualsp01(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_vectsp_1), u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(dt_k2_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k2_dualsp01(A)))  &  (v13_algstr_0(k2_dualsp01(A)) &  (v2_rlvect_1(k2_dualsp01(A)) &  (v3_rlvect_1(k2_dualsp01(A)) &  (v4_rlvect_1(k2_dualsp01(A)) &  (v8_vectsp_1(k2_dualsp01(A), k2_vectsp_1) &  (v9_vectsp_1(k2_dualsp01(A), k2_vectsp_1) &  (v10_vectsp_1(k2_dualsp01(A), k2_vectsp_1) &  (v11_vectsp_1(k2_dualsp01(A), k2_vectsp_1) & l1_vectsp_1(k2_dualsp01(A), k2_vectsp_1)) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k3_dualsp01, axiom,  (! [A] :  (l1_vectsp_1(A, k2_vectsp_1) =>  (v1_funct_1(k3_dualsp01(A)) &  (v1_funct_2(k3_dualsp01(A), k2_zfmisc_1(k1_numbers, u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(k3_dualsp01(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(dt_k4_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k2_vectsp_1) &  (v9_vectsp_1(A, k2_vectsp_1) &  (v10_vectsp_1(A, k2_vectsp_1) &  (v11_vectsp_1(A, k2_vectsp_1) & l1_vectsp_1(A, k2_vectsp_1)) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k4_dualsp01(A)))  &  (v13_algstr_0(k4_dualsp01(A)) &  (v2_rlvect_1(k4_dualsp01(A)) &  (v3_rlvect_1(k4_dualsp01(A)) &  (v4_rlvect_1(k4_dualsp01(A)) &  (v5_rlvect_1(k4_dualsp01(A)) &  (v6_rlvect_1(k4_dualsp01(A)) &  (v7_rlvect_1(k4_dualsp01(A)) &  (v8_rlvect_1(k4_dualsp01(A)) & l1_rlvect_1(k4_dualsp01(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k5_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k5_dualsp01(A)))  &  (v13_algstr_0(k5_dualsp01(A)) &  (v1_rlvect_1(k5_dualsp01(A)) &  (v2_rlvect_1(k5_dualsp01(A)) &  (v3_rlvect_1(k5_dualsp01(A)) &  (v4_rlvect_1(k5_dualsp01(A)) &  (v5_rlvect_1(k5_dualsp01(A)) &  (v6_rlvect_1(k5_dualsp01(A)) &  (v7_rlvect_1(k5_dualsp01(A)) &  (v8_rlvect_1(k5_dualsp01(A)) & l1_rlvect_1(k5_dualsp01(A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k6_dualsp01, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(k5_dualsp01(A))) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k6_dualsp01(A, B, C), k1_numbers)) ) ).
fof(redefinition_k6_dualsp01, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(k5_dualsp01(A))) & m1_subset_1(C, u1_struct_0(A))) )  => k6_dualsp01(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k7_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  => m1_subset_1(k7_dualsp01(A), k1_zfmisc_1(u1_struct_0(k10_funcsdom(u1_struct_0(A)))))) ) ).
fof(dt_k8_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k8_dualsp01(A)))  &  (v13_algstr_0(k8_dualsp01(A)) &  (v1_rlvect_1(k8_dualsp01(A)) &  (v2_rlvect_1(k8_dualsp01(A)) &  (v3_rlvect_1(k8_dualsp01(A)) &  (v4_rlvect_1(k8_dualsp01(A)) &  (v5_rlvect_1(k8_dualsp01(A)) &  (v6_rlvect_1(k8_dualsp01(A)) &  (v7_rlvect_1(k8_dualsp01(A)) &  (v8_rlvect_1(k8_dualsp01(A)) & l1_rlvect_1(k8_dualsp01(A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k9_dualsp01, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(k8_dualsp01(A))) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k9_dualsp01(A, B, C), k1_numbers)) ) ).
fof(redefinition_k9_dualsp01, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(k8_dualsp01(A))) & m1_subset_1(C, u1_struct_0(A))) )  => k9_dualsp01(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k10_dualsp01, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  & v1_xreal_0(B))  =>  (v1_funct_1(k10_dualsp01(A, B)) &  (v1_funct_2(k10_dualsp01(A, B), k4_ordinal1, k1_numbers) & m1_subset_1(k10_dualsp01(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k11_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  => m1_subset_1(k11_dualsp01(A), k1_zfmisc_1(u1_struct_0(k8_dualsp01(A))))) ) ).
fof(dt_k12_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k12_dualsp01(A)))  &  (v13_algstr_0(k12_dualsp01(A)) &  (v1_rlvect_1(k12_dualsp01(A)) &  (v2_rlvect_1(k12_dualsp01(A)) &  (v3_rlvect_1(k12_dualsp01(A)) &  (v4_rlvect_1(k12_dualsp01(A)) &  (v5_rlvect_1(k12_dualsp01(A)) &  (v6_rlvect_1(k12_dualsp01(A)) &  (v7_rlvect_1(k12_dualsp01(A)) &  (v8_rlvect_1(k12_dualsp01(A)) & l1_rlvect_1(k12_dualsp01(A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k13_dualsp01, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(k12_dualsp01(A))) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k13_dualsp01(A, B, C), k1_numbers)) ) ).
fof(redefinition_k13_dualsp01, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(k12_dualsp01(A))) & m1_subset_1(C, u1_struct_0(A))) )  => k13_dualsp01(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k14_dualsp01, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k14_dualsp01(A, B)) &  (v1_funct_2(k14_dualsp01(A, B), u1_struct_0(A), k1_numbers) &  (v2_hahnban(k14_dualsp01(A, B), A) &  (v3_hahnban(k14_dualsp01(A, B), A) &  (v1_dualsp01(k14_dualsp01(A, B), A) & m1_subset_1(k14_dualsp01(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) ) ) ) ).
fof(dt_k15_dualsp01, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_hahnban(B, A) &  (v3_hahnban(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) )  =>  ( ~ (v1_xboole_0(k15_dualsp01(A, B)))  & m1_subset_1(k15_dualsp01(A, B), k1_zfmisc_1(k1_numbers))) ) ) ).
fof(dt_k16_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k16_dualsp01(A)) &  (v1_funct_2(k16_dualsp01(A), k11_dualsp01(A), k1_numbers) & m1_subset_1(k16_dualsp01(A), k1_zfmisc_1(k2_zfmisc_1(k11_dualsp01(A), k1_numbers)))) ) ) ) ).
fof(dt_k17_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k17_dualsp01(A)))  & l1_normsp_1(k17_dualsp01(A))) ) ) ).
fof(dt_k18_dualsp01, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(k17_dualsp01(A))) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k18_dualsp01(A, B, C), k1_numbers)) ) ).
fof(redefinition_k18_dualsp01, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(k17_dualsp01(A))) & m1_subset_1(C, u1_struct_0(A))) )  => k18_dualsp01(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k19_dualsp01, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k17_dualsp01(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k17_dualsp01(A)))))) )  & v7_ordinal1(C)) )  => m1_subset_1(k19_dualsp01(A, B, C), u1_struct_0(k17_dualsp01(A)))) ) ).
fof(redefinition_k19_dualsp01, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k17_dualsp01(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k17_dualsp01(A)))))) )  & v7_ordinal1(C)) )  => k19_dualsp01(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_m1_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_dualsp01(B, A) =>  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(existence_m1_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (? [B] : m1_dualsp01(B, A)) ) ) ).
fof(d13_dualsp01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_hahnban(B, A) &  (v3_hahnban(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) )  => k15_dualsp01(A, B)=a_2_0_dualsp01(A, B)) ) ) ) ).
fof(fraenkel_a_2_0_dualsp01, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), k1_numbers) &  (v2_hahnban(C, B) &  (v3_hahnban(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_numbers)))) ) ) ) )  =>  (r2_hidden(A, a_2_0_dualsp01(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=k9_complex1(k3_funct_2(u1_struct_0(B), k1_numbers, C, D)) & r1_xxreal_0(k2_normsp_0(B, D), 1)) ) ) ) ) ) ).
fof(fc1_dualsp02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k2_dualsp02(A)) &  (v1_funct_2(k2_dualsp02(A), u1_struct_0(A), u1_struct_0(k17_dualsp01(k17_dualsp01(A)))) &  (v13_vectsp_1(k2_dualsp02(A), A, k17_dualsp01(k17_dualsp01(A))) & v1_lopban_1(k2_dualsp02(A), A, k17_dualsp01(k17_dualsp01(A)))) ) ) ) ) ).
fof(fc2_dualsp02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k2_dualsp02(A)) &  (v2_funct_1(k2_dualsp02(A)) & v1_funct_2(k2_dualsp02(A), u1_struct_0(A), u1_struct_0(k17_dualsp01(k17_dualsp01(A))))) ) ) ) ).
fof(t2_dualsp02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (v1_rlsub_1(B, A) &  (v2_nfcont_1(B, A) &  ( ~ (r2_tarski(C, B))  &  (! [D] :  (m1_subset_1(D, u1_struct_0(k17_dualsp01(A))) =>  ~ ( ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(E, B) => k3_funct_2(u1_struct_0(A), k1_numbers, k14_dualsp01(A, D), E)=k5_numbers) ) )  & k3_funct_2(u1_struct_0(A), k1_numbers, k14_dualsp01(A, D), C)=1) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_dualsp02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ ( ( ~ (B=k4_struct_0(A))  &  (! [C] :  (m1_subset_1(C, u1_struct_0(k17_dualsp01(A))) =>  ~ ( (k3_funct_2(u1_struct_0(A), k1_numbers, k14_dualsp01(A, C), B)=1 & k2_normsp_0(k17_dualsp01(A), C)=k7_xcmplx_0(1, k2_normsp_0(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(t4_dualsp02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ ( ( ~ (B=k4_struct_0(A))  &  (! [C] :  (m1_subset_1(C, u1_struct_0(k17_dualsp01(A))) =>  ~ ( (k2_normsp_0(k17_dualsp01(A), C)=1 & k3_funct_2(u1_struct_0(A), k1_numbers, k14_dualsp01(A, C), B)=k2_normsp_0(A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t5_dualsp02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ~ ( ( ~ (v7_struct_0(A))  &  (! [B] :  (m1_subset_1(B, u1_struct_0(k17_dualsp01(A))) =>  ~ (k2_normsp_0(k17_dualsp01(A), B)=1) ) ) ) ) ) ) ).
fof(t6_dualsp02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ~ ( ( ~ (v7_struct_0(A))  & v7_struct_0(k17_dualsp01(A))) ) ) ) ).
fof(t8_dualsp02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) &  (v2_hahnban(C, A) &  (v3_hahnban(C, A) &  (v1_dualsp01(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) )  => k3_funct_2(u1_struct_0(A), k1_numbers, C, B)=k5_numbers) )  => B=k4_struct_0(A)) ) ) ) ) ).
fof(d1_dualsp02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k17_dualsp01(k17_dualsp01(A)))) =>  (C=k1_dualsp02(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(k17_dualsp01(A))) => k18_dualsp01(k17_dualsp01(A), C, D)=k18_dualsp01(A, D, B)) ) ) ) ) ) ) ) ) ).
fof(d2_dualsp02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k17_dualsp01(k17_dualsp01(A)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k17_dualsp01(k17_dualsp01(A))))))) )  =>  (B=k2_dualsp02(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(k17_dualsp01(k17_dualsp01(A))), B, C)=k1_dualsp02(A, C)) ) ) ) ) ) ) ).
fof(t9_dualsp02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v7_struct_0(A))  =>  ( (v1_funct_1(k2_dualsp02(A)) &  (v1_funct_2(k2_dualsp02(A), u1_struct_0(A), u1_struct_0(k17_dualsp01(k17_dualsp01(A)))) &  (v13_vectsp_1(k2_dualsp02(A), A, k17_dualsp01(k17_dualsp01(A))) &  (v1_lopban_1(k2_dualsp02(A), A, k17_dualsp01(k17_dualsp01(A))) & m1_subset_1(k2_dualsp02(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k17_dualsp01(k17_dualsp01(A))))))) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_normsp_0(A, B)=k2_normsp_0(k17_dualsp01(k17_dualsp01(A)), k3_funct_2(u1_struct_0(A), u1_struct_0(k17_dualsp01(k17_dualsp01(A))), k2_dualsp02(A), B))) ) ) ) ) ) ).
fof(t10_dualsp02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ~ ( ( ~ (v7_struct_0(A))  &  (! [B] :  (m1_dualsp01(B, k17_dualsp01(k17_dualsp01(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) &  (v2_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  ~ ( (v3_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (B=k8_normsp_3(A, k17_dualsp01(k17_dualsp01(A)), k2_dualsp02(A)) &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D)=k1_dualsp02(A, D)) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_normsp_0(A, D)=k2_normsp_0(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_dualsp02, axiom, k3_dualsp02=g1_normsp_1(k1_numbers, k10_subset_1(k5_numbers, k1_numbers), k9_binop_2, k11_binop_2, k2_euclid)).
fof(t11_dualsp02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_dualsp02)) =>  (B=C => k1_real_1(B)=k4_algstr_0(k3_dualsp02, C)) ) ) ) ) ) ) ).
fof(t12_dualsp02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_hahnban(B, A) &  (v3_hahnban(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) )  <=>  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k3_dualsp02)) &  (v13_vectsp_1(B, A, k3_dualsp02) &  (v1_lopban_1(B, A, k3_dualsp02) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_dualsp02))))) ) ) ) ) ) ) ) ).
fof(t13_dualsp02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_hahnban(B, A) &  (v3_hahnban(B, A) &  (v1_dualsp01(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) )  <=>  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k3_dualsp02)) &  (v13_vectsp_1(B, A, k3_dualsp02) &  (v1_lopban_1(B, A, k3_dualsp02) &  (v2_lopban_1(B, A, k3_dualsp02) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_dualsp02))))) ) ) ) ) ) ) ) ) ).
fof(t14_dualsp02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  => u1_struct_0(k17_dualsp01(A))=u1_struct_0(k16_lopban_1(A, k3_dualsp02))) ) ).
fof(t15_dualsp02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k17_dualsp01(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k17_dualsp01(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k16_lopban_1(A, k3_dualsp02))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k16_lopban_1(A, k3_dualsp02))) =>  ( (B=D & C=E)  => k3_rlvect_1(k17_dualsp01(A), B, C)=k3_rlvect_1(k16_lopban_1(A, k3_dualsp02), D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_dualsp02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k17_dualsp01(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k16_lopban_1(A, k3_dualsp02))) =>  (C=D => k1_rlvect_1(k17_dualsp01(A), C, B)=k1_rlvect_1(k16_lopban_1(A, k3_dualsp02), D, B)) ) ) ) ) ) ) ) ) ).
fof(t17_dualsp02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k17_dualsp01(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k16_lopban_1(A, k3_dualsp02))) =>  (B=C => k4_algstr_0(k17_dualsp01(A), B)=k4_algstr_0(k16_lopban_1(A, k3_dualsp02), C)) ) ) ) ) ) ) ).
fof(t18_dualsp02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k17_dualsp01(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k16_lopban_1(A, k3_dualsp02))) =>  (B=C => k2_normsp_0(k17_dualsp01(A), B)=k2_normsp_0(k16_lopban_1(A, k3_dualsp02), C)) ) ) ) ) ) ) ).
fof(t19_dualsp02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( ~ (v7_struct_0(A))  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k17_dualsp01(A))) =>  (? [D] :  (v1_xreal_0(D) &  (r1_xxreal_0(k5_numbers, D) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(E, B) => r1_xxreal_0(k9_complex1(k18_dualsp01(A, C, E)), D)) ) ) ) ) ) ) )  &  (! [C] :  (v1_xreal_0(C) =>  ~ ( (r1_xxreal_0(k5_numbers, C) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, B) => r1_xxreal_0(k2_normsp_0(A, D), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_dualsp02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_dualsp02(A) <=> v2_funct_2(k2_dualsp02(A), u1_struct_0(k17_dualsp01(k17_dualsp01(A))))) ) ) ).
fof(t21_dualsp02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_dualsp02(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(k17_dualsp01(k17_dualsp01(A)))) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(k17_dualsp01(A))) => k18_dualsp01(k17_dualsp01(A), B, D)=k18_dualsp01(A, D, C)) ) ) ) ) ) ) ) ) ).
fof(t22_dualsp02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_dualsp02(A) <=> k8_normsp_3(A, k17_dualsp01(k17_dualsp01(A)), k2_dualsp02(A))=k17_dualsp01(k17_dualsp01(A))) ) ) ).
fof(t23_dualsp02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_dualsp02(A) =>  (v7_struct_0(A) |  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_dualsp02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ( (v1_dualsp02(A) &  (v1_rlsub_1(B, A) & v2_nfcont_1(B, A)) )  => v1_dualsp02(k4_normsp_3(A, B))) ) ) ) ) ).
fof(t25_dualsp02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) &  (v2_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), k1_numbers) &  (v2_hahnban(D, B) &  (v3_hahnban(D, B) &  (v1_dualsp01(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_numbers)))) ) ) ) )  =>  (v1_funct_1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), k1_numbers, C, D)) &  (v1_funct_2(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), k1_numbers, C, D), u1_struct_0(A), k1_numbers) &  (v2_hahnban(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), k1_numbers, C, D), A) &  (v3_hahnban(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), k1_numbers, C, D), A) &  (v1_dualsp01(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), k1_numbers, C, D), A) & m1_subset_1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), k1_numbers, C, D), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_dualsp02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) &  (v2_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  ~ ( (v4_normsp_3(C, A, B) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k17_dualsp01(A)), u1_struct_0(k17_dualsp01(B))) &  (v13_vectsp_1(D, k17_dualsp01(A), k17_dualsp01(B)) &  (v1_lopban_1(D, k17_dualsp01(A), k17_dualsp01(B)) &  (v2_lopban_1(D, k17_dualsp01(A), k17_dualsp01(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_dualsp01(A)), u1_struct_0(k17_dualsp01(B)))))) ) ) ) )  =>  ~ ( (v4_normsp_3(D, k17_dualsp01(A), k17_dualsp01(B)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(k17_dualsp01(A))) => k3_funct_2(u1_struct_0(k17_dualsp01(A)), u1_struct_0(k17_dualsp01(B)), D, E)=k3_relat_1(k2_funct_1(C), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_dualsp02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) &  (v2_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k17_dualsp01(A)), u1_struct_0(k17_dualsp01(B))) &  (v13_vectsp_1(D, k17_dualsp01(A), k17_dualsp01(B)) &  (v1_lopban_1(D, k17_dualsp01(A), k17_dualsp01(B)) &  (v2_lopban_1(D, k17_dualsp01(A), k17_dualsp01(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_dualsp01(A)), u1_struct_0(k17_dualsp01(B)))))) ) ) ) )  =>  ~ ( (v4_normsp_3(C, A, B) &  (v4_normsp_3(D, k17_dualsp01(A), k17_dualsp01(B)) &  ( (! [E] :  (m1_subset_1(E, u1_struct_0(k17_dualsp01(A))) => k3_funct_2(u1_struct_0(k17_dualsp01(A)), u1_struct_0(k17_dualsp01(B)), D, E)=k3_relat_1(k2_funct_1(C), E)) )  &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k17_dualsp01(B)), u1_struct_0(k17_dualsp01(A))) &  (v13_vectsp_1(E, k17_dualsp01(B), k17_dualsp01(A)) &  (v1_lopban_1(E, k17_dualsp01(B), k17_dualsp01(A)) &  (v2_lopban_1(E, k17_dualsp01(B), k17_dualsp01(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_dualsp01(B)), u1_struct_0(k17_dualsp01(A)))))) ) ) ) )  =>  ~ ( (v4_normsp_3(E, k17_dualsp01(B), k17_dualsp01(A)) &  (E=k2_funct_1(D) &  (! [F] :  (m1_subset_1(F, u1_struct_0(k17_dualsp01(B))) => k3_funct_2(u1_struct_0(k17_dualsp01(B)), u1_struct_0(k17_dualsp01(A)), E, F)=k3_relat_1(C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_dualsp02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  ( (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) &  (v2_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  & v4_normsp_3(C, A, B)) )  =>  (v1_dualsp02(A) <=> v1_dualsp02(B)) ) ) ) ) ) ).
fof(t29_dualsp02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ~ ( ( ~ (v7_struct_0(A))  &  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k8_normsp_3(A, k17_dualsp01(k17_dualsp01(A)), k2_dualsp02(A)))) &  (v13_vectsp_1(B, A, k8_normsp_3(A, k17_dualsp01(k17_dualsp01(A)), k2_dualsp02(A))) &  (v1_lopban_1(B, A, k8_normsp_3(A, k17_dualsp01(k17_dualsp01(A)), k2_dualsp02(A))) &  (v2_lopban_1(B, A, k8_normsp_3(A, k17_dualsp01(k17_dualsp01(A)), k2_dualsp02(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k8_normsp_3(A, k17_dualsp01(k17_dualsp01(A)), k2_dualsp02(A))))))) ) ) ) )  =>  ~ (v4_normsp_3(B, A, k8_normsp_3(A, k17_dualsp01(k17_dualsp01(A)), k2_dualsp02(A)))) ) ) ) ) ) ) ).
fof(t30_dualsp02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v7_struct_0(A))  =>  (v1_dualsp02(A) <=> v1_dualsp02(k17_dualsp01(A))) ) ) ) ).
fof(dt_k1_dualsp02, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k1_dualsp02(A, B), u1_struct_0(k17_dualsp01(k17_dualsp01(A))))) ) ).
fof(dt_k2_dualsp02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k2_dualsp02(A)) &  (v1_funct_2(k2_dualsp02(A), u1_struct_0(A), u1_struct_0(k17_dualsp01(k17_dualsp01(A)))) & m1_subset_1(k2_dualsp02(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k17_dualsp01(k17_dualsp01(A))))))) ) ) ) ).
fof(dt_k3_dualsp02, axiom,  ( ~ (v2_struct_0(k3_dualsp02))  &  (v13_algstr_0(k3_dualsp02) &  (v2_rlvect_1(k3_dualsp02) &  (v3_rlvect_1(k3_dualsp02) &  (v4_rlvect_1(k3_dualsp02) &  (v5_rlvect_1(k3_dualsp02) &  (v6_rlvect_1(k3_dualsp02) &  (v7_rlvect_1(k3_dualsp02) &  (v8_rlvect_1(k3_dualsp02) &  (v3_normsp_0(k3_dualsp02) &  (v4_normsp_0(k3_dualsp02) &  (v2_normsp_1(k3_dualsp02) & l1_normsp_1(k3_dualsp02)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_dualsp02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_dualsp01(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  ( (? [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(k1_numbers)))  &  (E=a_3_0_dualsp02(A, B, C) &  (D=k3_seq_4(E) &  ~ (r1_xxreal_0(k3_seq_4(E), k5_numbers)) ) ) ) )  =>  ( ~ (r1_struct_0(B, C))  &  (? [E] :  (m1_subset_1(E, u1_struct_0(k17_dualsp01(A))) &  ( (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r1_struct_0(B, F) => k3_funct_2(u1_struct_0(A), k1_numbers, k14_dualsp01(A, E), F)=k5_numbers) ) )  &  (k3_funct_2(u1_struct_0(A), k1_numbers, k14_dualsp01(A, E), C)=1 & k2_normsp_0(k17_dualsp01(A), E)=k7_xcmplx_0(1, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_dualsp02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (v7_struct_0(A))  =>  ( (? [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  &  (C=a_2_0_dualsp02(A, B) & k2_normsp_0(A, B)=k2_seq_4(C)) ) )  &  (? [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  &  (C=a_2_1_dualsp02(A, B) & k2_normsp_0(A, B)=k2_seq_4(C)) ) ) ) ) ) ) ) ) ).
fof(t20_dualsp02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( ( ~ (v7_struct_0(A))  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k17_dualsp01(A))) =>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_numbers)) &  (D=a_3_1_dualsp02(A, B, C) &  ~ (r1_xxreal_0(k1_xxreal_0, k1_xxreal_2(D))) ) ) ) ) )  &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_numbers)) =>  ~ ( (C=a_2_2_dualsp02(A, B) &  ~ (r1_xxreal_0(k1_xxreal_0, k1_xxreal_2(C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_dualsp02, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_dualsp01(C, B) & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_0_dualsp02(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k2_normsp_0(B, k5_algstr_0(B, E, D)) & r1_struct_0(C, E)) ) ) ) ) ) ).
fof(fraenkel_a_2_0_dualsp02, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_2_0_dualsp02(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(k17_dualsp01(B))) &  (A=k9_complex1(k3_funct_2(u1_struct_0(B), k1_numbers, k14_dualsp01(B, D), C)) & k2_normsp_0(k17_dualsp01(B), D)=1) ) ) ) ) ) ).
fof(fraenkel_a_2_1_dualsp02, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_2_1_dualsp02(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(k17_dualsp01(B))) &  (A=k9_complex1(k3_funct_2(u1_struct_0(B), k1_numbers, k14_dualsp01(B, D), C)) & r1_xxreal_0(k2_normsp_0(k17_dualsp01(B), D), 1)) ) ) ) ) ) ).
fof(fraenkel_a_3_1_dualsp02, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  & m1_subset_1(D, u1_struct_0(k17_dualsp01(B)))) )  =>  (r2_hidden(A, a_3_1_dualsp02(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k9_complex1(k18_dualsp01(B, D, E)) & r2_tarski(E, C)) ) ) ) ) ) ).
fof(fraenkel_a_2_2_dualsp02, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (r2_hidden(A, a_2_2_dualsp02(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=k2_normsp_0(B, D) & r2_tarski(D, C)) ) ) ) ) ) ).
fof(fc1_dualsp03, axiom,  ( ~ (v2_struct_0(k3_dualsp02))  &  (v13_algstr_0(k3_dualsp02) &  (v2_rlvect_1(k3_dualsp02) &  (v3_rlvect_1(k3_dualsp02) &  (v4_rlvect_1(k3_dualsp02) &  (v5_rlvect_1(k3_dualsp02) &  (v6_rlvect_1(k3_dualsp02) &  (v7_rlvect_1(k3_dualsp02) &  (v8_rlvect_1(k3_dualsp02) &  (v3_normsp_0(k3_dualsp02) &  (v4_normsp_0(k3_dualsp02) &  (v2_normsp_1(k3_dualsp02) & v3_lopban_1(k3_dualsp02)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_dualsp03, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_normsp_1(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k17_dualsp01(A))) =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, B) => k3_funct_2(u1_struct_0(A), k1_numbers, k14_dualsp01(A, C), D)=k5_numbers) ) )  => k14_dualsp01(A, C)=k4_struct_0(k17_dualsp01(A))) ) )  => k19_normsp_3(A, B)=A) ) ) ) ) ).
fof(t2_dualsp03, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_normsp_1(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (v2_normsp_3(k17_dualsp01(A)) => v2_normsp_3(A)) ) ) ).
fof(t3_dualsp03, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_dualsp02)) =>  (A=B => k4_xcmplx_0(A)=k4_algstr_0(k3_dualsp02, B)) ) ) ) ) ).
fof(t4_dualsp03, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_dualsp02)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k3_dualsp02)) =>  ( (A=C & B=D)  => k6_xcmplx_0(A, B)=k5_algstr_0(k3_dualsp02, C, D)) ) ) ) ) ) ) ) ) ).
fof(t5_dualsp03, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k3_dualsp02)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k3_dualsp02))))) )  =>  (r1_funct_2(k4_ordinal1, k1_numbers, k4_ordinal1, u1_struct_0(k3_dualsp02), A, B) =>  (v2_comseq_2(A) <=> v3_normsp_1(B, k3_dualsp02)) ) ) ) ) ) ).
fof(t6_dualsp03, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k3_dualsp02)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k3_dualsp02))))) )  =>  ( (r1_funct_2(k4_ordinal1, k1_numbers, k4_ordinal1, u1_struct_0(k3_dualsp02), A, B) & v2_comseq_2(A))  => k1_seq_2(A)=k5_normsp_1(k3_dualsp02, B)) ) ) ) ) ).
fof(t7_dualsp03, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k3_dualsp02)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k3_dualsp02))))) )  =>  (v1_rsspace3(A, k3_dualsp02) => v3_normsp_1(A, k3_dualsp02)) ) ) ).
fof(d1_dualsp03, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k17_dualsp01(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k17_dualsp01(A)))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (D=k2_dualsp03(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) => k8_nat_1(k1_numbers, D, E)=k18_dualsp01(A, k19_dualsp01(A, B, E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_dualsp03, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_dualsp03(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), k1_numbers) &  (v2_hahnban(D, A) &  (v3_hahnban(D, A) &  (v1_dualsp01(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) )  =>  (v2_comseq_2(k1_partfun1(k4_ordinal1, u1_struct_0(A), u1_struct_0(A), k1_numbers, B, D)) & k1_seq_2(k1_partfun1(k4_ordinal1, u1_struct_0(A), u1_struct_0(A), k1_numbers, B, D))=k3_funct_2(u1_struct_0(A), k1_numbers, D, C)) ) ) ) ) ) ) ) ) ) ).
fof(t8_dualsp03, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (r1_tarski(k2_relset_1(u1_struct_0(A), B), k1_tarski(k4_struct_0(A))) => v1_dualsp03(B, A)) ) ) ) ) ).
fof(d3_dualsp03, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_dualsp03(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (C=k3_dualsp03(A, B) <=>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), k1_numbers) &  (v2_hahnban(D, A) &  (v3_hahnban(D, A) &  (v1_dualsp01(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) )  =>  (v2_comseq_2(k1_partfun1(k4_ordinal1, u1_struct_0(A), u1_struct_0(A), k1_numbers, B, D)) & k1_seq_2(k1_partfun1(k4_ordinal1, u1_struct_0(A), u1_struct_0(A), k1_numbers, B, D))=k3_funct_2(u1_struct_0(A), k1_numbers, D, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_dualsp03, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v3_normsp_1(B, A) =>  (v1_dualsp03(B, A) & k3_dualsp03(A, B)=k5_normsp_1(A, B)) ) ) ) ) ) ).
fof(t10_dualsp03, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_dualsp03(B, A) =>  (v7_struct_0(A) |  (v1_comseq_2(k5_normsp_0(A, B)) &  (r1_xxreal_0(k2_normsp_0(A, k3_dualsp03(A, B)), k6_rinfsup1(k5_normsp_0(A, B))) & r1_struct_0(k19_normsp_3(A, k2_relset_1(u1_struct_0(A), B)), k3_dualsp03(A, B))) ) ) ) ) ) ) ) ).
fof(d4_dualsp03, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k17_dualsp01(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k17_dualsp01(A)))))) )  =>  (v2_dualsp03(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k17_dualsp01(A))) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (v2_comseq_2(k2_dualsp03(A, B, D)) & k1_seq_2(k2_dualsp03(A, B, D))=k18_dualsp01(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(d5_dualsp03, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k17_dualsp01(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k17_dualsp01(A)))))) )  =>  (v2_dualsp03(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k17_dualsp01(A))) =>  (C=k4_dualsp03(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (v2_comseq_2(k2_dualsp03(A, B, D)) & k1_seq_2(k2_dualsp03(A, B, D))=k18_dualsp01(A, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_dualsp03, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k17_dualsp01(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k17_dualsp01(A)))))) )  =>  (v3_normsp_1(B, k17_dualsp01(A)) =>  (v2_dualsp03(B, A) & k4_dualsp03(A, B)=k5_normsp_1(k17_dualsp01(A), B)) ) ) ) ) ) ).
fof(t12_dualsp03, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k17_dualsp01(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k17_dualsp01(A)))))) )  =>  (v1_dualsp03(B, k17_dualsp01(A)) => v2_dualsp03(B, A)) ) ) ) ) ).
fof(t13_dualsp03, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k17_dualsp01(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k17_dualsp01(A)))))) )  =>  (v1_dualsp02(A) =>  (v1_dualsp03(B, k17_dualsp01(A)) <=> v2_dualsp03(B, A)) ) ) ) ) ) ).
fof(t14_dualsp03, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k17_dualsp01(A)))) =>  ~ ( ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (v1_xreal_0(D) &  (r1_xxreal_0(k5_numbers, D) &  (! [E] :  (m1_subset_1(E, u1_struct_0(k17_dualsp01(A))) =>  (r2_tarski(E, B) => r1_xxreal_0(k9_complex1(k18_dualsp01(A, E, C)), D)) ) ) ) ) ) ) )  &  (! [C] :  (v1_xreal_0(C) =>  ~ ( (r1_xxreal_0(k5_numbers, C) &  (! [D] :  (m1_subset_1(D, u1_struct_0(k17_dualsp01(A))) =>  (r2_tarski(D, B) => r1_xxreal_0(k2_normsp_0(k17_dualsp01(A), D), C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_dualsp03, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k17_dualsp01(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k17_dualsp01(A)))))) )  =>  (v2_dualsp03(B, A) =>  (v1_comseq_2(k5_normsp_0(k17_dualsp01(A), B)) & r1_xxreal_0(k2_normsp_0(k17_dualsp01(A), k4_dualsp03(A, B)), k6_rinfsup1(k5_normsp_0(k17_dualsp01(A), B)))) ) ) ) ) ) ).
fof(t16_dualsp03, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(k17_dualsp01(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k17_dualsp01(A)))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(k16_lopban_1(A, k3_dualsp02))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k16_lopban_1(A, k3_dualsp02)))))) )  =>  (r1_funct_2(k4_ordinal1, u1_struct_0(k17_dualsp01(A)), k4_ordinal1, u1_struct_0(k16_lopban_1(A, k3_dualsp02)), C, D) => r1_funct_2(k4_ordinal1, k1_numbers, k4_ordinal1, u1_struct_0(k3_dualsp02), k2_dualsp03(A, C, B), k2_lopban_5(A, k3_dualsp02, D, B))) ) ) ) ) ) ) ) ) ).
fof(t17_dualsp03, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(k17_dualsp01(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k17_dualsp01(A)))))) )  =>  ( (v1_comseq_2(k5_normsp_0(k17_dualsp01(A), C)) &  (v1_normsp_3(B, A) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, B) => v2_comseq_2(k2_dualsp03(A, C, D))) ) ) ) )  => v2_dualsp03(C, A)) ) ) ) ) ) ) ).
fof(t18_dualsp03, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k17_dualsp01(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k17_dualsp01(A)))))) )  =>  (v2_dualsp03(B, A) <=>  (v1_comseq_2(k5_normsp_0(k17_dualsp01(A), B)) &  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) &  (v1_normsp_3(C, A) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, C) => v2_comseq_2(k2_dualsp03(A, B, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_dualsp03, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v3_dualsp03(B, A) <=>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  &  (m2_valued_0(D, B, C) &  (v1_dualsp03(D, A) & r1_struct_0(A, k3_dualsp03(A, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_dualsp03, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_dualsp02(A) =>  (v1_dualsp03(B, A) <=> v2_dualsp03(k1_partfun1(k4_ordinal1, u1_struct_0(A), u1_struct_0(A), u1_struct_0(k17_dualsp01(k17_dualsp01(A))), B, k2_dualsp02(A)), k17_dualsp01(A))) ) ) ) ) ) ).
fof(t20_dualsp03, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k17_dualsp01(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k17_dualsp01(A)))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (v1_comseq_2(k5_normsp_0(k17_dualsp01(A), B)) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(k17_dualsp01(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k17_dualsp01(A)))))) )  =>  ~ ( (m2_valued_0(D, u1_struct_0(k17_dualsp01(A)), B) &  (v1_comseq_2(k5_normsp_0(k17_dualsp01(A), D)) & v2_comseq_2(k2_dualsp03(A, D, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_dualsp03, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k17_dualsp01(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k17_dualsp01(A)))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (v1_comseq_2(k5_normsp_0(k17_dualsp01(A), B)) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(k17_dualsp01(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k17_dualsp01(A)))))) )  =>  ~ ( (m2_valued_0(D, u1_struct_0(k17_dualsp01(A)), B) &  (v1_comseq_2(k5_normsp_0(k17_dualsp01(A), D)) &  (v2_comseq_2(k2_dualsp03(A, D, C)) & m2_valued_0(k2_dualsp03(A, D, C), k1_numbers, k2_dualsp03(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_dualsp03, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k17_dualsp01(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k17_dualsp01(A)))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (v1_comseq_2(k5_normsp_0(k17_dualsp01(A), B)) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(k17_dualsp01(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k17_dualsp01(A)))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k4_ordinal1) &  (v5_valued_0(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) )  =>  ~ ( (m2_valued_0(D, u1_struct_0(k17_dualsp01(A)), B) &  (v1_comseq_2(k5_normsp_0(k17_dualsp01(A), D)) &  (v2_comseq_2(k2_dualsp03(A, D, C)) &  (m2_valued_0(k2_dualsp03(A, D, C), k1_numbers, k2_dualsp03(A, B, C)) & r2_funct_2(k4_ordinal1, u1_struct_0(k17_dualsp01(A)), D, k2_valued_0(u1_struct_0(k17_dualsp01(A)), E, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_dualsp03, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k17_dualsp01(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k17_dualsp01(A)))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ~ ( (v1_comseq_2(k5_normsp_0(k17_dualsp01(A), B)) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_funct_2(k4_ordinal1, u1_struct_0(k17_dualsp01(A)))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_funct_2(k4_ordinal1, u1_struct_0(k17_dualsp01(A))))))) )  =>  ~ ( (m2_valued_0(k1_dualsp03(u1_struct_0(k17_dualsp01(A)), D, k5_numbers), u1_struct_0(k17_dualsp01(A)), B) &  (v2_comseq_2(k2_dualsp03(A, k1_dualsp03(u1_struct_0(k17_dualsp01(A)), D, k5_numbers), k1_normsp_0(A, C, k5_numbers))) &  ( (! [E] :  (v7_ordinal1(E) => m2_valued_0(k1_dualsp03(u1_struct_0(k17_dualsp01(A)), D, k1_nat_1(E, 1)), u1_struct_0(k17_dualsp01(A)), k1_dualsp03(u1_struct_0(k17_dualsp01(A)), D, E))) )  &  (! [E] :  (v7_ordinal1(E) => v2_comseq_2(k2_dualsp03(A, k1_dualsp03(u1_struct_0(k17_dualsp01(A)), D, k1_nat_1(E, 1)), k1_normsp_0(A, C, k1_nat_1(E, 1))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_dualsp03, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k17_dualsp01(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k17_dualsp01(A)))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ~ ( (v1_comseq_2(k5_normsp_0(k17_dualsp01(A), B)) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_funct_2(k4_ordinal1, u1_struct_0(k17_dualsp01(A)))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_funct_2(k4_ordinal1, u1_struct_0(k17_dualsp01(A))))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k9_funct_2(k4_ordinal1, k4_ordinal1)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_funct_2(k4_ordinal1, k4_ordinal1))))) )  =>  ~ ( (m2_valued_0(k1_dualsp03(u1_struct_0(k17_dualsp01(A)), D, k5_numbers), u1_struct_0(k17_dualsp01(A)), B) &  (v2_comseq_2(k2_dualsp03(A, k1_dualsp03(u1_struct_0(k17_dualsp01(A)), D, k5_numbers), k1_normsp_0(A, C, k5_numbers))) &  ( (v1_funct_1(k1_dualsp03(k4_ordinal1, E, k5_numbers)) &  (v1_funct_2(k1_dualsp03(k4_ordinal1, E, k5_numbers), k4_ordinal1, k4_ordinal1) &  (v5_valued_0(k1_dualsp03(k4_ordinal1, E, k5_numbers)) & m1_subset_1(k1_dualsp03(k4_ordinal1, E, k5_numbers), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) )  &  (r2_funct_2(k4_ordinal1, u1_struct_0(k17_dualsp01(A)), k1_dualsp03(u1_struct_0(k17_dualsp01(A)), D, k5_numbers), k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, u1_struct_0(k17_dualsp01(A)), k1_dualsp03(k4_ordinal1, E, k5_numbers), B)) &  ( (! [F] :  (v7_ordinal1(F) => m2_valued_0(k1_dualsp03(u1_struct_0(k17_dualsp01(A)), D, k1_nat_1(F, 1)), u1_struct_0(k17_dualsp01(A)), k1_dualsp03(u1_struct_0(k17_dualsp01(A)), D, F))) )  &  ( (! [F] :  (v7_ordinal1(F) => v2_comseq_2(k2_dualsp03(A, k1_dualsp03(u1_struct_0(k17_dualsp01(A)), D, k1_nat_1(F, 1)), k1_normsp_0(A, C, k1_nat_1(F, 1))))) )  &  ( (! [F] :  (v7_ordinal1(F) => m2_valued_0(k2_dualsp03(A, k1_dualsp03(u1_struct_0(k17_dualsp01(A)), D, k1_nat_1(F, 1)), k1_normsp_0(A, C, k1_nat_1(F, 1))), k1_numbers, k2_dualsp03(A, k1_dualsp03(u1_struct_0(k17_dualsp01(A)), D, F), k1_normsp_0(A, C, k1_nat_1(F, 1))))) )  &  ( (! [F] :  (v7_ordinal1(F) =>  (v1_funct_1(k1_dualsp03(k4_ordinal1, E, k1_nat_1(F, 1))) &  (v1_funct_2(k1_dualsp03(k4_ordinal1, E, k1_nat_1(F, 1)), k4_ordinal1, k4_ordinal1) &  (v5_valued_0(k1_dualsp03(k4_ordinal1, E, k1_nat_1(F, 1))) & m1_subset_1(k1_dualsp03(k4_ordinal1, E, k1_nat_1(F, 1)), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) ) ) )  &  (! [F] :  (v7_ordinal1(F) => r2_funct_2(k4_ordinal1, u1_struct_0(k17_dualsp01(A)), k1_dualsp03(u1_struct_0(k17_dualsp01(A)), D, k1_nat_1(F, 1)), k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, u1_struct_0(k17_dualsp01(A)), k1_dualsp03(k4_ordinal1, E, k1_nat_1(F, 1)), k1_dualsp03(u1_struct_0(k17_dualsp01(A)), D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_dualsp03, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k17_dualsp01(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k17_dualsp01(A)))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ~ ( (v1_comseq_2(k5_normsp_0(k17_dualsp01(A), B)) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(k17_dualsp01(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k17_dualsp01(A)))))) )  =>  ~ ( (m2_valued_0(D, u1_struct_0(k17_dualsp01(A)), B) &  (! [E] :  (v7_ordinal1(E) => v2_comseq_2(k2_dualsp03(A, D, k1_normsp_0(A, C, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_dualsp03, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k17_dualsp01(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k17_dualsp01(A)))))) )  =>  ~ ( (v2_normsp_3(A) &  (v1_comseq_2(k5_normsp_0(k17_dualsp01(A), B)) &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(k17_dualsp01(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k17_dualsp01(A)))))) )  =>  ~ ( (m2_valued_0(C, u1_struct_0(k17_dualsp01(A)), B) & v2_dualsp03(C, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_dualsp03, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ~ ( (v1_dualsp02(A) &  (v1_comseq_2(k5_normsp_0(A, B)) &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ~ ( (m2_valued_0(C, u1_struct_0(A), B) & v1_dualsp03(C, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_dualsp03, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_funct_2(k4_ordinal1, A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_funct_2(k4_ordinal1, A))))) )  & v7_ordinal1(C)) )  =>  (v1_funct_1(k1_dualsp03(A, B, C)) &  (v1_funct_2(k1_dualsp03(A, B, C), k4_ordinal1, A) & m1_subset_1(k1_dualsp03(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) ) ) ) ).
fof(redefinition_k1_dualsp03, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_funct_2(k4_ordinal1, A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_funct_2(k4_ordinal1, A))))) )  & v7_ordinal1(C)) )  => k1_dualsp03(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k2_dualsp03, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k17_dualsp01(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k17_dualsp01(A)))))) )  & m1_subset_1(C, u1_struct_0(A))) )  =>  (v1_funct_1(k2_dualsp03(A, B, C)) &  (v1_funct_2(k2_dualsp03(A, B, C), k4_ordinal1, k1_numbers) & m1_subset_1(k2_dualsp03(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k3_dualsp03, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => m1_subset_1(k3_dualsp03(A, B), u1_struct_0(A))) ) ).
fof(dt_k4_dualsp03, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k17_dualsp01(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k17_dualsp01(A)))))) ) )  => m1_subset_1(k4_dualsp03(A, B), u1_struct_0(k17_dualsp01(A)))) ) ).
fof(t28_dualsp03, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_dualsp02(A) =>  (v7_struct_0(A) |  (v3_dualsp03(B, A) <=>  (? [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  &  (C=a_2_0_dualsp03(A, B) & v4_xxreal_2(C)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_dualsp03, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) &  (v3_lopban_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (r2_hidden(A, a_2_0_dualsp03(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=k2_normsp_0(B, D) & r2_tarski(D, C)) ) ) ) ) ) ).
fof(fc1_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) &  (v3_bhsp_3(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k2_dualsp04(A)))  &  (v13_algstr_0(k2_dualsp04(A)) &  (v2_rlvect_1(k2_dualsp04(A)) &  (v3_rlvect_1(k2_dualsp04(A)) &  (v4_rlvect_1(k2_dualsp04(A)) &  (v5_rlvect_1(k2_dualsp04(A)) &  (v6_rlvect_1(k2_dualsp04(A)) &  (v7_rlvect_1(k2_dualsp04(A)) &  (v8_rlvect_1(k2_dualsp04(A)) &  (v3_normsp_0(k2_dualsp04(A)) &  (v4_normsp_0(k2_dualsp04(A)) &  (v2_normsp_1(k2_dualsp04(A)) & v3_lopban_1(k2_dualsp04(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))) &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v5_relat_1(B, k1_numbers) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_hahnban(B, A) &  (v3_hahnban(B, A) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) & v2_bhsp_6(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc2_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k3_dualsp04(A)))  & v1_rlsub_1(k3_dualsp04(A), k8_dualsp01(A))) ) ) ).
fof(fc3_dualsp04, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_hahnban(B, A) &  (v3_hahnban(B, A) &  (v2_bhsp_6(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k5_dualsp04(A, B)))  & v4_xxreal_2(k5_dualsp04(A, B))) ) ) ).
fof(rd1_dualsp04, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_hahnban(B, A) &  (v3_hahnban(B, A) &  (v2_bhsp_6(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) ) )  => k4_dualsp04(A, B)=B) ) ).
fof(fc4_dualsp04, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_hahnban(B, A) &  (v3_hahnban(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) )  =>  ~ (v1_xboole_0(k8_relat_1(B, k1_seq_4(k5_numbers)))) ) ) ).
fof(d1_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (B=k1_dualsp04(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k1_numbers, B, C)=k3_bhsp_1(A, C)) ) ) ) ) ) ) ).
fof(d2_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  => k2_dualsp04(A)=g1_normsp_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_rlvect_1(A), k1_dualsp04(A))) ) ).
fof(t1_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_dualsp04(A))) =>  (B=C => k4_algstr_0(A, B)=k4_algstr_0(k2_dualsp04(A), C)) ) ) ) ) ) ) ).
fof(t2_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_dualsp04(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_dualsp04(A))) =>  ( (B=D & C=E)  => k5_algstr_0(A, B, C)=k5_algstr_0(k2_dualsp04(A), D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_dualsp04(A))) =>  (B=C => k3_bhsp_1(A, B)=k2_normsp_0(k2_dualsp04(A), C)) ) ) ) ) ) ) ).
fof(t4_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(k2_dualsp04(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_dualsp04(A)))))) )  =>  (r1_funct_2(k4_ordinal1, u1_struct_0(A), k4_ordinal1, u1_struct_0(k2_dualsp04(A)), B, C) =>  (v1_bhsp_2(B, A) <=> v3_normsp_1(C, k2_dualsp04(A))) ) ) ) ) ) ) ) ).
fof(t5_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(k2_dualsp04(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_dualsp04(A)))))) )  =>  ( (r1_funct_2(k4_ordinal1, u1_struct_0(A), k4_ordinal1, u1_struct_0(k2_dualsp04(A)), B, C) & v1_bhsp_2(B, A))  => k1_bhsp_2(A, B)=k5_normsp_1(k2_dualsp04(A), C)) ) ) ) ) ) ) ).
fof(t6_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(k2_dualsp04(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_dualsp04(A)))))) )  =>  (r1_funct_2(k4_ordinal1, u1_struct_0(A), k4_ordinal1, u1_struct_0(k2_dualsp04(A)), B, C) =>  (v1_rsspace3(C, k2_dualsp04(A)) <=> v1_bhsp_3(B, A)) ) ) ) ) ) ) ) ).
fof(t7_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (v3_bhsp_3(A) <=> v3_lopban_1(k2_dualsp04(A))) ) ) ).
fof(d3_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_dualsp04(B, A) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_dualsp04(A)))) &  (C=B & v3_nfcont_1(C, k2_dualsp04(A))) ) ) ) ) ) ) ) ).
fof(d4_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_dualsp04(B, A) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_dualsp04(A)))) &  (C=B & v2_nfcont_1(C, k2_dualsp04(A))) ) ) ) ) ) ) ) ).
fof(t8_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_dualsp04(B, A) <=>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (r1_tarski(k2_relset_1(u1_struct_0(A), C), B) & v1_bhsp_2(C, A))  => r2_tarski(k1_bhsp_2(A, C), B)) ) ) ) ) ) ) ) ).
fof(t9_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_dualsp04(B, A) <=> v2_dualsp04(k3_subset_1(u1_struct_0(A), B), A)) ) ) ) ) ).
fof(d5_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_dualsp04(A, B, C) <=>  (r2_tarski(C, k1_relset_1(u1_struct_0(A), B)) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (r1_tarski(k2_relset_1(u1_struct_0(A), D), k1_relset_1(u1_struct_0(A), B)) &  (v1_bhsp_2(D, A) & k1_bhsp_2(A, D)=C) )  =>  (v2_comseq_2(k8_funct_2(k4_ordinal1, k1_numbers, u1_struct_0(A), D, B)) & k7_partfun1(k1_numbers, B, C)=k1_seq_2(k8_funct_2(k4_ordinal1, k1_numbers, u1_struct_0(A), D, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))))  =>  (! [C] :  (r2_dualsp04(A, B, C) <=>  (r1_tarski(C, k1_relset_1(u1_struct_0(A), B)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, C) => r1_dualsp04(A, k2_partfun1(u1_struct_0(A), k1_numbers, B, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(t10_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k2_dualsp04(A)), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_dualsp04(A)), k1_numbers)))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_dualsp04(A))) =>  ( (r1_funct_2(u1_struct_0(A), k1_numbers, u1_struct_0(k2_dualsp04(A)), k1_numbers, B, C) & D=E)  =>  (r1_dualsp04(A, B, D) <=> r2_nfcont_1(k2_dualsp04(A), C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k2_dualsp04(A)), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_dualsp04(A)), k1_numbers)))) )  =>  (r1_funct_2(u1_struct_0(A), k1_numbers, u1_struct_0(k2_dualsp04(A)), k1_numbers, B, C) =>  (r2_dualsp04(A, B, u1_struct_0(A)) <=> r4_nfcont_1(k2_dualsp04(A), C, u1_struct_0(k2_dualsp04(A)))) ) ) ) ) ) ) ) ).
fof(t12_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k1_numbers, C, D)=k2_bhsp_1(A, B, D)) )  => r2_dualsp04(A, C, u1_struct_0(A))) ) ) ) ) ) ) ).
fof(d7_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))))  =>  (r3_dualsp04(A, B, C) <=>  (r1_tarski(B, k1_relset_1(u1_struct_0(A), C)) &  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_tarski(E, B) & r2_tarski(F, B))  => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k7_partfun1(k1_numbers, C, E), k7_partfun1(k1_numbers, C, F))), k3_xcmplx_0(D, k3_bhsp_1(A, k5_algstr_0(A, E, F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k2_dualsp04(A)), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_dualsp04(A)), k1_numbers)))) )  =>  (r1_funct_2(u1_struct_0(A), k1_numbers, u1_struct_0(k2_dualsp04(A)), k1_numbers, B, C) =>  (r3_dualsp04(A, u1_struct_0(A), B) <=> r6_nfcont_1(k2_dualsp04(A), u1_struct_0(k2_dualsp04(A)), C)) ) ) ) ) ) ) ) ).
fof(t14_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (r3_dualsp04(A, u1_struct_0(A), B) => r2_dualsp04(A, B, u1_struct_0(A))) ) ) ) ) ).
fof(t15_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_hahnban(B, A) &  (v3_hahnban(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) )  =>  (r1_funct_2(u1_struct_0(A), k1_numbers, u1_struct_0(A), k4_ordinal1, B, k8_funcop_1(k4_ordinal1, u1_struct_0(A), k5_numbers)) => v2_bhsp_6(B, A)) ) ) ) ) ).
fof(d8_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k8_dualsp01(A)))) =>  (B=k3_dualsp04(A) <=>  (! [C] :  (r2_tarski(C, B) <=>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) &  (v2_hahnban(C, A) &  (v3_hahnban(C, A) &  (v2_bhsp_6(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] : k4_dualsp04(A, B)=k10_subset_1(B, k3_dualsp04(A))) ) ) ).
fof(d11_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k3_dualsp04(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k3_dualsp04(A), k1_numbers)))) )  =>  (B=k6_dualsp04(A) <=>  (! [C] :  (r2_hidden(C, k3_dualsp04(A)) => k1_funct_1(B, C)=k2_seq_4(k5_dualsp04(A, k4_dualsp04(A, C)))) ) ) ) ) ) ) ).
fof(t16_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_hahnban(B, A) &  (v3_hahnban(B, A) &  (v2_bhsp_6(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) )  => k1_funct_1(k6_dualsp04(A), B)=k2_seq_4(k5_dualsp04(A, B))) ) ) ) ).
fof(d12_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  => k7_dualsp04(A)=g1_normsp_1(k3_dualsp04(A), k7_rsspace(k8_dualsp01(A), k3_dualsp04(A)), k5_rsspace(k8_dualsp01(A), k3_dualsp04(A)), k6_rsspace(k8_dualsp01(A), k3_dualsp04(A)), k6_dualsp04(A))) ) ).
fof(t17_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k7_dualsp04(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) &  (v2_hahnban(C, A) &  (v3_hahnban(C, A) &  (v2_bhsp_6(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) )  =>  (C=B =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_xxreal_0(k9_complex1(k3_funct_2(u1_struct_0(A), k1_numbers, C, D)), k3_xcmplx_0(k2_normsp_0(k7_dualsp04(A), B), k3_bhsp_1(A, D)))) ) ) ) ) ) ) ) ) ).
fof(t18_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k7_dualsp04(A))) => r1_xxreal_0(k5_numbers, k2_normsp_0(k7_dualsp04(A), B))) ) ) ) ).
fof(t19_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k2_dualsp04(A)), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_dualsp04(A)), k1_numbers)))) )  =>  (r1_funct_2(u1_struct_0(A), k1_numbers, u1_struct_0(k2_dualsp04(A)), k1_numbers, B, C) =>  ( ( (v2_hahnban(B, A) & v3_hahnban(B, A))  =>  (v2_hahnban(C, k2_dualsp04(A)) & v3_hahnban(C, k2_dualsp04(A))) )  &  ( (v2_hahnban(C, k2_dualsp04(A)) & v3_hahnban(C, k2_dualsp04(A)))  =>  (v2_hahnban(B, A) & v3_hahnban(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(t20_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_hahnban(B, A) &  (v3_hahnban(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k2_dualsp04(A)), k1_numbers) &  (v2_hahnban(C, k2_dualsp04(A)) &  (v3_hahnban(C, k2_dualsp04(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_dualsp04(A)), k1_numbers)))) ) ) )  =>  (r1_funct_2(u1_struct_0(A), k1_numbers, u1_struct_0(k2_dualsp04(A)), k1_numbers, B, C) =>  (v2_bhsp_6(B, A) <=> v1_dualsp01(C, k2_dualsp04(A))) ) ) ) ) ) ) ) ).
fof(t21_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  => k3_dualsp04(A)=k11_dualsp01(k2_dualsp04(A))) ) ).
fof(t22_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_hahnban(B, A) &  (v3_hahnban(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k2_dualsp04(A)), k1_numbers) &  (v2_hahnban(C, k2_dualsp04(A)) &  (v3_hahnban(C, k2_dualsp04(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_dualsp04(A)), k1_numbers)))) ) ) )  =>  (r1_funct_2(u1_struct_0(A), k1_numbers, u1_struct_0(k2_dualsp04(A)), k1_numbers, B, C) => k5_dualsp04(A, B)=k15_dualsp01(k2_dualsp04(A), C)) ) ) ) ) ) ) ).
fof(t23_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  => r1_funct_2(k3_dualsp04(A), k1_numbers, k11_dualsp01(k2_dualsp04(A)), k1_numbers, k6_dualsp04(A), k16_dualsp01(k2_dualsp04(A)))) ) ).
fof(t24_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  => k7_dualsp01(A)=k7_dualsp01(k2_dualsp04(A))) ) ).
fof(t25_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  => k8_dualsp01(A)=k8_dualsp01(k2_dualsp04(A))) ) ).
fof(t26_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  => k7_dualsp04(A)=k17_dualsp01(k2_dualsp04(A))) ) ).
fof(t27_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rusub_1(B, A) =>  (! [C] :  (m1_rusub_1(C, A) =>  (r1_tarski(u1_struct_0(B), u1_struct_0(C)) => r1_tarski(u1_struct_0(k2_rusub_5(A, C)), u1_struct_0(k2_rusub_5(A, B)))) ) ) ) ) ) ) ).
fof(t28_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rusub_1(B, A) => r1_tarski(u1_struct_0(B), u1_struct_0(k2_rusub_5(A, k2_rusub_5(A, B))))) ) ) ) ).
fof(t29_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rusub_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, k3_xboole_0(u1_struct_0(B), u1_struct_0(k2_rusub_5(A, B)))) => C=k4_struct_0(A)) ) ) ) ) ) ) ).
fof(t30_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rusub_1(B, A) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (C=u1_struct_0(k2_rusub_5(A, B)) =>  (v1_rlsub_1(C, A) & v2_dualsp04(C, A)) ) ) ) ) ) ) ) ).
fof(t33_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) &  (v3_bhsp_3(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rusub_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (C=u1_struct_0(B) &  (v2_dualsp04(C, A) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r1_struct_0(B, E) &  (r1_struct_0(k2_rusub_5(A, B), F) & D=k3_rlvect_1(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rusub_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r1_struct_0(B, D) &  (r1_struct_0(B, E) &  (r1_struct_0(k2_rusub_5(A, B), F) &  (r1_struct_0(k2_rusub_5(A, B), G) &  (C=k3_rlvect_1(A, D, F) & C=k3_rlvect_1(A, E, G)) ) ) ) )  =>  (D=E & F=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_hahnban(B, A) &  (v3_hahnban(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k1_numbers, B, D)=k2_bhsp_1(A, D, C)) )  => v2_bhsp_6(B, A)) ) ) ) ) ) ) ).
fof(t36_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  ( (v2_hahnban(B, A) & v3_hahnban(B, A))  => v1_rlsub_1(k8_relset_1(u1_struct_0(A), k1_numbers, B, k1_seq_4(k5_numbers)), A)) ) ) ) ) ).
fof(d13_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_hahnban(B, A) &  (v3_hahnban(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) )  =>  (! [C] :  ( (v1_bhsp_1(C) & m1_rusub_1(C, A))  =>  (C=k8_dualsp04(A, B) <=> u1_struct_0(C)=k8_relset_1(u1_struct_0(A), k1_numbers, B, k1_seq_4(k5_numbers))) ) ) ) ) ) ) ).
fof(t37_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_hahnban(B, A) &  (v3_hahnban(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) )  =>  (v2_bhsp_6(B, A) => v2_dualsp04(k8_relset_1(u1_struct_0(A), k1_numbers, B, k1_seq_4(k5_numbers)), A)) ) ) ) ) ).
fof(t38_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rusub_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (C=k4_struct_0(A))  &  (r1_struct_0(k2_rusub_5(A, B), C) & r1_struct_0(B, C)) ) ) ) ) ) ) ) ) ).
fof(t39_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) &  (v3_bhsp_3(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_hahnban(B, A) &  (v3_hahnban(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) )  =>  ~ ( (v2_bhsp_6(B, A) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k1_numbers, B, D)=k2_bhsp_1(A, D, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_hahnban(B, A) &  (v3_hahnban(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (k3_funct_2(u1_struct_0(A), k1_numbers, B, E)=k2_bhsp_1(A, E, C) & k3_funct_2(u1_struct_0(A), k1_numbers, B, E)=k2_bhsp_1(A, E, D)) ) )  => C=D) ) ) ) ) ) ) ) ) ).
fof(t41_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) &  (v3_bhsp_3(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k7_dualsp04(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) &  (v2_hahnban(C, A) &  (v3_hahnban(C, A) &  (v2_bhsp_6(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) )  =>  ~ ( (C=B &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k1_numbers, C, E)=k2_bhsp_1(A, E, D)) )  & k2_normsp_0(k7_dualsp04(A), B)=k3_bhsp_1(A, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k1_dualsp04(A)) &  (v1_funct_2(k1_dualsp04(A), u1_struct_0(A), k1_numbers) & m1_subset_1(k1_dualsp04(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) ).
fof(dt_k2_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k2_dualsp04(A)))  &  (v13_algstr_0(k2_dualsp04(A)) &  (v2_rlvect_1(k2_dualsp04(A)) &  (v3_rlvect_1(k2_dualsp04(A)) &  (v4_rlvect_1(k2_dualsp04(A)) &  (v5_rlvect_1(k2_dualsp04(A)) &  (v6_rlvect_1(k2_dualsp04(A)) &  (v7_rlvect_1(k2_dualsp04(A)) &  (v8_rlvect_1(k2_dualsp04(A)) &  (v3_normsp_0(k2_dualsp04(A)) &  (v4_normsp_0(k2_dualsp04(A)) &  (v2_normsp_1(k2_dualsp04(A)) & l1_normsp_1(k2_dualsp04(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k3_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  => m1_subset_1(k3_dualsp04(A), k1_zfmisc_1(u1_struct_0(k8_dualsp01(A))))) ) ).
fof(dt_k4_dualsp04, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k4_dualsp04(A, B)) &  (v1_funct_2(k4_dualsp04(A, B), u1_struct_0(A), k1_numbers) &  (v2_hahnban(k4_dualsp04(A, B), A) &  (v3_hahnban(k4_dualsp04(A, B), A) &  (v2_bhsp_6(k4_dualsp04(A, B), A) & m1_subset_1(k4_dualsp04(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) ) ) ) ).
fof(dt_k5_dualsp04, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_hahnban(B, A) &  (v3_hahnban(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) )  =>  ( ~ (v1_xboole_0(k5_dualsp04(A, B)))  & m1_subset_1(k5_dualsp04(A, B), k1_zfmisc_1(k1_numbers))) ) ) ).
fof(dt_k6_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k6_dualsp04(A)) &  (v1_funct_2(k6_dualsp04(A), k3_dualsp04(A), k1_numbers) & m1_subset_1(k6_dualsp04(A), k1_zfmisc_1(k2_zfmisc_1(k3_dualsp04(A), k1_numbers)))) ) ) ) ).
fof(dt_k7_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k7_dualsp04(A)))  & l1_normsp_1(k7_dualsp04(A))) ) ) ).
fof(dt_k8_dualsp04, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_hahnban(B, A) &  (v3_hahnban(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) )  =>  (v1_bhsp_1(k8_dualsp04(A, B)) & m1_rusub_1(k8_dualsp04(A, B), A)) ) ) ).
fof(d10_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_hahnban(B, A) &  (v3_hahnban(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) )  => k5_dualsp04(A, B)=a_2_0_dualsp04(A, B)) ) ) ) ).
fof(t31_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) &  (v3_bhsp_3(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rusub_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( (C=u1_struct_0(B) &  (v2_dualsp04(C, A) &  ( (? [F] :  ( ( ~ (v1_xboole_0(F))  & m1_subset_1(F, k1_zfmisc_1(k1_numbers)))  &  (F=a_3_0_dualsp04(A, B, D) &  (E=k3_seq_4(F) & r1_xxreal_0(k5_numbers, k3_seq_4(F))) ) ) )  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (E=k3_bhsp_1(A, k5_algstr_0(A, D, F)) & r1_struct_0(B, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_dualsp04, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_bhsp_1(A) &  (v3_bhsp_3(A) & l1_bhsp_1(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rusub_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xreal_0(E) =>  (r1_struct_0(B, D) =>  ( (! [F] :  ( ( ~ (v1_xboole_0(F))  & m1_subset_1(F, k1_zfmisc_1(k1_numbers)))  =>  ~ ( (F=a_3_0_dualsp04(A, B, C) &  (E=k3_seq_4(F) & r1_xxreal_0(k5_numbers, k3_seq_4(F))) ) ) ) )  |  (E=k3_bhsp_1(A, k5_algstr_0(A, C, D)) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r1_struct_0(B, F) => r1_bhsp_1(A, F, k5_algstr_0(A, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_dualsp04, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v2_bhsp_1(B) & l1_bhsp_1(B)) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), k1_numbers) &  (v2_hahnban(C, B) &  (v3_hahnban(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_numbers)))) ) ) ) )  =>  (r2_hidden(A, a_2_0_dualsp04(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=k9_complex1(k3_funct_2(u1_struct_0(B), k1_numbers, C, D)) & r1_xxreal_0(k3_bhsp_1(B, D), 1)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_dualsp04, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v2_bhsp_1(B) &  (v3_bhsp_3(B) & l1_bhsp_1(B)) ) ) ) ) ) ) ) ) ) )  &  (m1_rusub_1(C, B) & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_0_dualsp04(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k3_bhsp_1(B, k5_algstr_0(B, D, E)) & r1_struct_0(C, E)) ) ) ) ) ) ).
fof(t1_dualsp05, axiom,  (! [A] :  (v1_xreal_0(A) => r1_xxreal_0(k9_complex1(k1_absvalue(A)), 1)) ) ).
fof(t2_dualsp05, axiom,  (! [A] :  (v1_xreal_0(A) => k9_complex1(A)=k3_xcmplx_0(k1_absvalue(A), A)) ) ).
fof(d1_dualsp05, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_pre_topc(B) &  (v2_pre_topc(B) &  (v1_compts_1(B) & l1_pre_topc(B)) ) ) )  =>  (B=k1_dualsp05(A) <=>  (? [C] :  (v1_xreal_0(C) &  (? [D] :  (v1_xreal_0(D) &  (r1_xxreal_0(C, D) &  (k1_rcomp_1(C, D)=A & B=k4_topmetr(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_dualsp05, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_pre_topc(A) & m1_pre_topc(A, k3_topmetr)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xreal_0(E) =>  ( (C=B & D=E)  =>  ( (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k1_numbers)) =>  ~ ( (r2_tarski(k3_funct_2(u1_struct_0(A), k1_numbers, B, D), F) &  (v3_rcomp_1(F) &  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_tarski(D, G) &  (v3_pre_topc(G, A) & r1_tarski(k7_relset_1(u1_struct_0(A), k1_numbers, B, G), F)) ) ) ) ) ) ) ) ) )  <=> r1_fcont_1(C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_dualsp05, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_pre_topc(A) & m1_pre_topc(A, k3_topmetr)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (C=B =>  (v1_pscomp_1(B, A) <=> v1_fcont_1(C)) ) ) ) ) ) ) ) ).
fof(t5_dualsp05, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  => u1_struct_0(k1_dualsp05(A))=A) ) ).
fof(t6_dualsp05, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (m1_subset_1(B, u1_struct_0(k5_c0sp2(k1_dualsp05(A)))) <=>  (k9_xtuple_0(B)=A &  (v1_funct_1(B) &  (v1_fcont_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ) ) ) ) ) ) ).
fof(t7_dualsp05, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_c0sp2(k1_dualsp05(A)))) => r2_tarski(B, k6_c0sp1(u1_struct_0(k1_dualsp05(A))))) ) ) ) ).
fof(t8_dualsp05, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( (A=k1_rcomp_1(B, C) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k6_c0sp1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_c0sp1(A))))) )  =>  (? [E] :  (v1_xreal_0(E) &  (r2_hidden(E, k1_rcomp_1(B, C)) &  ~ ( ( (E=B => k1_funct_1(D, E)=k8_funcop_1(k4_ordinal1, k1_rcomp_1(B, C), k5_numbers))  &  ( ~ (E=B)  => k1_funct_1(D, E)=k1_funct_4(k8_funcop_1(k4_ordinal1, k1_rcomp_1(B, E), 1), k8_funcop_1(k4_ordinal1, k4_rcomp_1(E, C), k5_numbers))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_dualsp05, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k6_c0sp1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_c0sp1(A))))) )  =>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k2_finseq_1(k1_nat_1(k3_finseq_1(B), 1))) =>  ( (D=1 => k2_dualsp05(A, B, C, D)=k1_funct_1(C, k3_seq_4(A)))  &  ( ~ (D=1)  => k2_dualsp05(A, B, C, D)=k1_funct_1(C, k1_funct_1(B, k6_xcmplx_0(D, 1)))) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_dualsp05, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [D] :  (v7_ordinal1(D) =>  ( (D=1 => k3_dualsp05(A, B, C, D)=k1_funct_1(C, k3_seq_4(A)))  &  ( ~ (D=1)  => k3_dualsp05(A, B, C, D)=k1_funct_1(C, k1_funct_1(B, k6_xcmplx_0(D, 1)))) ) ) ) ) ) ) ) ) ) ).
fof(t9_dualsp05, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k6_c0sp1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_c0sp1(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (? [E] :  (m2_finseq_1(E, u1_struct_0(k11_c0sp1(u1_struct_0(k1_dualsp05(A))))) &  (k3_finseq_1(E)=k3_finseq_1(B) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k4_finseq_1(E)) => k1_funct_1(E, F)=k1_rlvect_1(k11_c0sp1(u1_struct_0(k1_dualsp05(A))), k5_algstr_0(k11_c0sp1(u1_struct_0(k1_dualsp05(A))), k2_dualsp05(A, B, C, k1_nat_1(F, 1)), k2_dualsp05(A, B, C, F)), k1_absvalue(k6_xcmplx_0(k3_dualsp05(A, B, D, k1_nat_1(F, 1)), k3_dualsp05(A, B, D, F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_dualsp05, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (v2_hahnban(B, A) => k3_funct_2(u1_struct_0(A), k1_numbers, B, k4_rlvect_1(A, C))=k18_rvsum_1(k4_finseqop(u1_struct_0(A), k1_numbers, C, B))) ) ) ) ) ) ) ).
fof(t11_dualsp05, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k11_c0sp1(A))) =>  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ) ).
fof(t12_dualsp05, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k11_c0sp1(u1_struct_0(k1_dualsp05(A))))) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [E] :  (m2_subset_1(E, k1_numbers, A) =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (D=k4_rlvect_1(k11_c0sp1(u1_struct_0(k1_dualsp05(A))), B) &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r2_tarski(F, k4_finseq_1(C)) &  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  ~ ( (G=k1_funct_1(B, F) & k1_funct_1(C, F)=k3_funct_2(A, k1_numbers, G, E)) ) ) ) ) ) ) ) ) )  => k3_funct_2(A, k1_numbers, D, E)=k18_rvsum_1(C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_dualsp05, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  (m2_subset_1(C, k1_numbers, A) =>  ~ ( ( ~ (r1_xxreal_0(k1_funct_1(B, 1), k3_seq_4(A)))  &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ~ ( (r2_tarski(D, k4_finseq_1(B)) &  (r2_tarski(C, k2_integra1(A, B, D)) &  (D=1 |  ( ~ (r1_xxreal_0(C, k3_seq_4(k2_integra1(A, B, D))))  & r1_xxreal_0(C, k2_seq_4(k2_integra1(A, B, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_dualsp05, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  (v1_xreal_0(C) =>  ( (! [D] :  (m1_integra1(D, A) =>  (! [E] :  (m1_integr22(E, A, B, D) =>  ( ~ (r1_xxreal_0(k1_funct_1(D, 1), k3_seq_4(A)))  => r1_xxreal_0(k18_rvsum_1(E), C)) ) ) ) )  =>  (r1_xxreal_0(k3_integra1(A), k5_numbers) |  (! [D] :  (m1_integra1(D, A) =>  (! [E] :  (m1_integr22(E, A, B, D) => r1_xxreal_0(k18_rvsum_1(E), C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_dualsp05, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k17_dualsp01(k5_c0sp2(k1_dualsp05(A))))) =>  ( (v1_integr22(B, A) &  (! [D] :  ( (v1_funct_1(D) &  (v1_fcont_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (k1_relset_1(k1_numbers, D)=A => k1_funct_1(C, D)=k5_integr22(A, B, D)) ) ) )  => r1_xxreal_0(k2_normsp_0(k17_dualsp01(k5_c0sp2(k1_dualsp05(A))), C), k2_integr22(A, B))) ) ) ) ) ) ) ).
fof(t16_dualsp05, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k17_dualsp01(k5_c0sp2(k1_dualsp05(A))))) =>  ~ ( ( ~ (r1_xxreal_0(k3_integra1(A), k5_numbers))  &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  ~ ( (v1_integr22(C, A) &  ( (! [D] :  ( (v1_funct_1(D) &  (v1_fcont_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (k1_relset_1(k1_numbers, D)=A => k1_funct_1(B, D)=k5_integr22(A, C, D)) ) )  & k2_normsp_0(k17_dualsp01(k5_c0sp2(k1_dualsp05(A))), B)=k2_integr22(A, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_dualsp05, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  ( ~ (v2_struct_0(k1_dualsp05(A)))  &  (v1_pre_topc(k1_dualsp05(A)) &  (v2_pre_topc(k1_dualsp05(A)) &  (v1_compts_1(k1_dualsp05(A)) & l1_pre_topc(k1_dualsp05(A))) ) ) ) ) ) ).
fof(dt_k2_dualsp05, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  (m1_integra1(B, A) &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k6_c0sp1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_c0sp1(A))))) )  & v7_ordinal1(D)) ) )  => m1_subset_1(k2_dualsp05(A, B, C, D), u1_struct_0(k11_c0sp1(u1_struct_0(k1_dualsp05(A)))))) ) ).
fof(dt_k3_dualsp05, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  (m1_integra1(B, A) &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  & v7_ordinal1(D)) ) )  => v1_xreal_0(k3_dualsp05(A, B, C, D))) ) ).
fof(cc1_dynkin, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_dynkin(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(t1_dynkin, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [C] :  (r2_tarski(C, k10_xtuple_0(B)) <=>  (? [D] :  (m1_subset_1(D, k4_ordinal1) & k8_nat_1(k9_setfam_1(A), B, D)=C) ) ) ) ) ) ) ) ).
fof(t3_dynkin, axiom,  (! [A] :  (! [B] : k3_card_3(k12_funct_7(A, B, k1_xboole_0))=k2_xboole_0(A, B)) ) ).
fof(d1_dynkin, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (D=k2_dynkin(A, B, C) <=>  (! [E] :  (m1_subset_1(E, k4_ordinal1) => k8_nat_1(k9_setfam_1(A), D, E)=k9_subset_1(A, C, k8_nat_1(k9_setfam_1(A), B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_dynkin, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (v1_prob_2(B) <=>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( ~ (r1_xxreal_0(D, C))  => r1_xboole_0(k8_nat_1(k9_setfam_1(A), B, C), k8_nat_1(k9_setfam_1(A), B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t4_dynkin, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (r1_tarski(B, k1_setfam_1(A)) <=>  (! [C] :  (m1_subset_1(C, A) => r1_tarski(B, C)) ) ) ) ) ) ).
fof(d3_dynkin, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [C] :  (v7_ordinal1(C) => k3_dynkin(A, B, C)=k7_subset_1(A, k8_nat_1(k9_setfam_1(A), B, C), k3_tarski(k10_xtuple_0(k5_relat_1(B, C))))) ) ) ) ) ) ).
fof(d4_dynkin, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (C=k4_dynkin(A, B) <=>  (! [D] :  (v7_ordinal1(D) => k8_nat_1(k9_setfam_1(A), C, D)=k3_dynkin(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t5_dynkin, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [C] :  (v7_ordinal1(C) => k8_nat_1(k9_setfam_1(A), k4_dynkin(A, B), C)=k7_subset_1(A, k8_nat_1(k9_setfam_1(A), B, C), k3_tarski(k10_xtuple_0(k5_relat_1(B, C))))) ) ) ) ) ) ).
fof(t6_dynkin, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  => v1_prob_2(k4_dynkin(A, B))) ) ) ) ).
fof(t7_dynkin, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  => k3_tarski(k10_xtuple_0(k4_dynkin(A, B)))=k3_tarski(k10_xtuple_0(B))) ) ) ) ).
fof(t8_dynkin, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (r1_xboole_0(B, C) => v1_prob_2(k1_dynkin(A, B, C, k1_subset_1(A)))) ) ) ) ) ) ) ).
fof(t9_dynkin, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (v1_prob_2(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => v1_prob_2(k2_dynkin(A, B, C))) ) ) ) ) ) ) ).
fof(t10_dynkin, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k9_subset_1(A, C, k1_prob_1(A, B))=k1_prob_1(A, k2_dynkin(A, B, C))) ) ) ) ) ) ).
fof(d5_dynkin, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (m1_dynkin(B, A) <=>  ( (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  ( (r1_tarski(k10_xtuple_0(C), B) & v1_prob_2(C))  => r2_tarski(k1_prob_1(A, C), B)) ) )  &  ( (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (r2_tarski(C, B) => r2_tarski(k3_subset_1(A, C), B)) ) )  & r2_tarski(k1_xboole_0, B)) ) ) ) ) ) ) ).
fof(t11_dynkin, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => m1_dynkin(k9_setfam_1(A), A)) ) ).
fof(t12_dynkin, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  ( (! [C] :  (r2_tarski(C, B) => m1_dynkin(C, A)) )  => m1_dynkin(k1_setfam_1(B), A)) ) ) ) ) ).
fof(t13_dynkin, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  ( (m1_dynkin(D, A) &  (v2_finsub_1(D) &  (r2_tarski(B, D) & r2_tarski(C, D)) ) )  => r2_tarski(k7_subset_1(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t14_dynkin, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  ( (m1_dynkin(D, A) &  (v2_finsub_1(D) &  (r2_tarski(B, D) & r2_tarski(C, D)) ) )  => r2_tarski(k4_subset_1(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t15_dynkin, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  ( (m1_dynkin(B, A) & v2_finsub_1(B))  =>  (! [C] :  (v1_finset_1(C) =>  (r1_tarski(C, B) => r2_tarski(k3_tarski(C), B)) ) ) ) ) ) ) ) ).
fof(t16_dynkin, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  ( (m1_dynkin(B, A) & v2_finsub_1(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (r1_tarski(k10_xtuple_0(C), B) => r1_tarski(k10_xtuple_0(k4_dynkin(A, C)), B)) ) ) ) ) ) ) ) ).
fof(t17_dynkin, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  ( (m1_dynkin(B, A) & v2_finsub_1(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (r1_tarski(k10_xtuple_0(C), B) => r2_tarski(k3_tarski(k10_xtuple_0(C)), B)) ) ) ) ) ) ) ) ).
fof(t18_dynkin, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_dynkin(B, A) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(A), B) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (r1_xboole_0(C, D) => r2_tarski(k4_subset_1(A, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t19_dynkin, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_dynkin(B, A) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(A), B) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (r1_tarski(C, D) => r2_tarski(k7_subset_1(A, D, C), B)) ) ) ) ) ) ) ) ) ).
fof(t20_dynkin, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  ( (m1_dynkin(B, A) & v2_finsub_1(B))  =>  ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ) ) ) ) ) ).
fof(d6_dynkin, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [C] :  (m1_dynkin(C, A) =>  (C=k5_dynkin(A, B) <=>  (r1_tarski(B, C) &  (! [D] :  (m1_dynkin(D, A) =>  (r1_tarski(B, D) => r1_tarski(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_dynkin, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (D=k6_dynkin(A, B, C) <=>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  (r2_tarski(E, D) <=> r2_tarski(k9_subset_1(A, E, C), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_dynkin, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  ( (r2_tarski(C, B) &  (r2_tarski(D, k5_dynkin(A, B)) & v2_finsub_1(B)) )  => r2_tarski(k9_subset_1(A, C, D), k5_dynkin(A, B))) ) ) ) ) ) ) ) ) ).
fof(t22_dynkin, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  ( (r2_tarski(C, k5_dynkin(A, B)) &  (r2_tarski(D, k5_dynkin(A, B)) & v2_finsub_1(B)) )  => r2_tarski(k9_subset_1(A, C, D), k5_dynkin(A, B))) ) ) ) ) ) ) ) ) ).
fof(t23_dynkin, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (v2_finsub_1(B) => v2_finsub_1(k5_dynkin(A, B))) ) ) ) ) ).
fof(t24_dynkin, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (v2_finsub_1(B) =>  (! [C] :  (m1_dynkin(C, A) =>  (r1_tarski(B, C) => r1_tarski(k9_prob_1(A, B), C)) ) ) ) ) ) ) ) ).
fof(dt_k1_dynkin, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(A)) &  (m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(A))) ) )  =>  (v1_funct_1(k1_dynkin(A, B, C, D)) &  (v1_funct_2(k1_dynkin(A, B, C, D), k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(k1_dynkin(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) ) ) ).
fof(redefinition_k1_dynkin, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(A)) &  (m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(A))) ) )  => k1_dynkin(A, B, C, D)=k12_funct_7(B, C, D)) ) ).
fof(dt_k2_dynkin, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  & m1_subset_1(C, k1_zfmisc_1(A))) )  =>  (v1_funct_1(k2_dynkin(A, B, C)) &  (v1_funct_2(k2_dynkin(A, B, C), k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(k2_dynkin(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) ) ) ).
fof(redefinition_v1_dynkin, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (v1_dynkin(B, A) <=> v1_prob_2(B)) ) ) ).
fof(dt_k3_dynkin, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  & v7_ordinal1(C)) )  => m1_subset_1(k3_dynkin(A, B, C), k1_zfmisc_1(A))) ) ).
fof(dt_k4_dynkin, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (v1_funct_1(k4_dynkin(A, B)) &  (v1_funct_2(k4_dynkin(A, B), k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(k4_dynkin(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) ) ) ).
fof(dt_m1_dynkin, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_dynkin(B, A) => m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ) ).
fof(existence_m1_dynkin, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] : m1_dynkin(B, A)) ) ) ).
fof(dt_k5_dynkin, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  => m1_dynkin(k5_dynkin(A, B), A)) ) ).
fof(dt_k6_dynkin, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(C, k1_zfmisc_1(A)))  => m1_subset_1(k6_dynkin(A, B, C), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ).
fof(dt_k7_dynkin, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_dynkin(B, A) & m1_subset_1(C, B)) )  => m1_dynkin(k7_dynkin(A, B, C), A)) ) ).
fof(redefinition_k7_dynkin, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_dynkin(B, A) & m1_subset_1(C, B)) )  => k7_dynkin(A, B, C)=k6_dynkin(A, B, C)) ) ).
fof(rc1_e_siec, axiom,  (? [A] :  (l1_e_siec(A) & v1_e_siec(A)) ) ).
fof(rc2_e_siec, axiom,  (? [A] :  (l1_e_siec(A) & v2_e_siec(A)) ) ).
fof(rc3_e_siec, axiom,  (? [A] :  (l1_e_siec(A) & v3_e_siec(A)) ) ).
fof(rc4_e_siec, axiom,  (? [A] :  (l1_e_siec(A) &  (v1_e_siec(A) &  (v2_e_siec(A) & v3_e_siec(A)) ) ) ) ).
fof(d1_e_siec, axiom,  (! [A] :  (l1_e_siec(A) =>  (v2_e_siec(A) <=>  (r1_tarski(u1_e_siec(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) &  (r1_tarski(u2_e_siec(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) &  (k3_relat_1(u1_e_siec(A), u1_e_siec(A))=u1_e_siec(A) &  (k3_relat_1(u1_e_siec(A), u2_e_siec(A))=u1_e_siec(A) &  (k3_relat_1(u2_e_siec(A), u2_e_siec(A))=u2_e_siec(A) & k3_relat_1(u2_e_siec(A), u1_e_siec(A))=u2_e_siec(A)) ) ) ) ) ) ) ) ).
fof(d2_e_siec, axiom,  (! [A] :  (l1_e_siec(A) =>  (v3_e_siec(A) <=>  (k3_relat_1(u1_e_siec(A), k4_xboole_0(u1_e_siec(A), k4_relat_1(u1_struct_0(A))))=k1_xboole_0 & k3_relat_1(u2_e_siec(A), k4_xboole_0(u2_e_siec(A), k4_relat_1(u1_struct_0(A))))=k1_xboole_0) ) ) ) ).
fof(t1_e_siec, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v1_relat_1(C) =>  ( (v2_e_siec(g1_e_siec(A, B, C)) &  (v3_e_siec(g1_e_siec(A, B, C)) & l1_e_siec(g1_e_siec(A, B, C))) )  <=>  (r1_tarski(B, k2_zfmisc_1(A, A)) &  (r1_tarski(C, k2_zfmisc_1(A, A)) &  (k3_relat_1(B, B)=B &  (k3_relat_1(B, C)=B &  (k3_relat_1(C, C)=C &  (k3_relat_1(C, B)=C &  (k3_relat_1(B, k4_xboole_0(B, k4_relat_1(A)))=k1_xboole_0 & k3_relat_1(C, k4_xboole_0(C, k4_relat_1(A)))=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_e_siec, axiom,  (! [A] :  (v2_e_siec(g1_e_siec(A, k1_xboole_0, k1_xboole_0)) &  (v3_e_siec(g1_e_siec(A, k1_xboole_0, k1_xboole_0)) & l1_e_siec(g1_e_siec(A, k1_xboole_0, k1_xboole_0))) ) ) ).
fof(t3_e_siec, axiom,  (! [A] :  (v2_e_siec(g1_e_siec(A, k4_relat_1(A), k4_relat_1(A))) &  (v3_e_siec(g1_e_siec(A, k4_relat_1(A), k4_relat_1(A))) & l1_e_siec(g1_e_siec(A, k4_relat_1(A), k4_relat_1(A)))) ) ) ).
fof(t4_e_siec, axiom,  (v2_e_siec(g1_e_siec(k1_xboole_0, k1_xboole_0, k1_xboole_0)) &  (v3_e_siec(g1_e_siec(k1_xboole_0, k1_xboole_0, k1_xboole_0)) & l1_e_siec(g1_e_siec(k1_xboole_0, k1_xboole_0, k1_xboole_0))) ) ).
fof(t5_e_siec, axiom,  (! [A] :  (! [B] :  (v2_e_siec(g1_e_siec(A, k4_relat_1(k4_xboole_0(A, B)), k4_relat_1(k4_xboole_0(A, B)))) &  (v3_e_siec(g1_e_siec(A, k4_relat_1(k4_xboole_0(A, B)), k4_relat_1(k4_xboole_0(A, B)))) & l1_e_siec(g1_e_siec(A, k4_relat_1(k4_xboole_0(A, B)), k4_relat_1(k4_xboole_0(A, B))))) ) ) ) ).
fof(d3_e_siec, axiom, k1_e_siec=g1_e_siec(k1_xboole_0, k1_xboole_0, k1_xboole_0)).
fof(d4_e_siec, axiom,  (! [A] : k2_e_siec(A)=g1_e_siec(A, k4_relat_1(A), k4_relat_1(A))) ).
fof(d5_e_siec, axiom,  (! [A] : k3_e_siec(A)=g1_e_siec(A, k1_xboole_0, k1_xboole_0)) ).
fof(t6_e_siec, axiom,  (! [A] :  (u1_struct_0(k2_e_siec(A))=A &  (u1_e_siec(k2_e_siec(A))=k4_relat_1(A) & u2_e_siec(k2_e_siec(A))=k4_relat_1(A)) ) ) ).
fof(t7_e_siec, axiom,  (! [A] :  (u1_struct_0(k3_e_siec(A))=A &  (u1_e_siec(k3_e_siec(A))=k1_xboole_0 & u2_e_siec(k3_e_siec(A))=k1_xboole_0) ) ) ).
fof(d6_e_siec, axiom,  (! [A] : k4_e_siec(A)=g1_e_siec(k1_tarski(A), k4_relat_1(k1_tarski(A)), k4_relat_1(k1_tarski(A)))) ).
fof(d7_e_siec, axiom,  (! [A] : k5_e_siec(A)=g1_e_siec(k1_tarski(A), k1_xboole_0, k1_xboole_0)) ).
fof(t8_e_siec, axiom,  (! [A] :  (u1_struct_0(k4_e_siec(A))=k1_tarski(A) &  (u1_e_siec(k4_e_siec(A))=k4_relat_1(k1_tarski(A)) & u2_e_siec(k4_e_siec(A))=k4_relat_1(k1_tarski(A))) ) ) ).
fof(t9_e_siec, axiom,  (! [A] :  (u1_struct_0(k5_e_siec(A))=k1_tarski(A) &  (u1_e_siec(k5_e_siec(A))=k1_xboole_0 & u2_e_siec(k5_e_siec(A))=k1_xboole_0) ) ) ).
fof(t10_e_siec, axiom,  (! [A] :  (! [B] :  (v2_e_siec(g1_e_siec(k2_xboole_0(A, B), k4_relat_1(A), k4_relat_1(A))) &  (v3_e_siec(g1_e_siec(k2_xboole_0(A, B), k4_relat_1(A), k4_relat_1(A))) & l1_e_siec(g1_e_siec(k2_xboole_0(A, B), k4_relat_1(A), k4_relat_1(A)))) ) ) ) ).
fof(d8_e_siec, axiom,  (! [A] :  (! [B] : k6_e_siec(A, B)=g1_e_siec(k2_xboole_0(A, B), k4_relat_1(A), k4_relat_1(A))) ) ).
fof(t11_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  =>  (k4_xboole_0(u1_e_siec(A), k4_relat_1(k9_xtuple_0(u1_e_siec(A))))=k4_xboole_0(u1_e_siec(A), k4_relat_1(u1_struct_0(A))) &  (k4_xboole_0(u2_e_siec(A), k4_relat_1(k9_xtuple_0(u2_e_siec(A))))=k4_xboole_0(u2_e_siec(A), k4_relat_1(u1_struct_0(A))) &  (k4_xboole_0(u1_e_siec(A), k4_relat_1(k10_xtuple_0(u1_e_siec(A))))=k4_xboole_0(u1_e_siec(A), k4_relat_1(u1_struct_0(A))) & k4_xboole_0(u2_e_siec(A), k4_relat_1(k10_xtuple_0(u2_e_siec(A))))=k4_xboole_0(u2_e_siec(A), k4_relat_1(u1_struct_0(A)))) ) ) ) ) ).
fof(t12_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  => k1_sysrel(u1_e_siec(A))=k1_sysrel(u2_e_siec(A))) ) ).
fof(t13_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  =>  (k10_xtuple_0(u1_e_siec(A))=k10_xtuple_0(k1_sysrel(u1_e_siec(A))) &  (k10_xtuple_0(u1_e_siec(A))=k9_xtuple_0(k1_sysrel(u1_e_siec(A))) &  (k10_xtuple_0(u2_e_siec(A))=k10_xtuple_0(k1_sysrel(u2_e_siec(A))) &  (k10_xtuple_0(u2_e_siec(A))=k9_xtuple_0(k1_sysrel(u2_e_siec(A))) & k10_xtuple_0(u1_e_siec(A))=k10_xtuple_0(u2_e_siec(A))) ) ) ) ) ) ).
fof(t14_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  =>  (r1_tarski(k9_xtuple_0(u1_e_siec(A)), u1_struct_0(A)) &  (r1_tarski(k10_xtuple_0(u1_e_siec(A)), u1_struct_0(A)) &  (r1_tarski(k9_xtuple_0(u2_e_siec(A)), u1_struct_0(A)) & r1_tarski(k10_xtuple_0(u2_e_siec(A)), u1_struct_0(A))) ) ) ) ) ).
fof(t15_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  =>  (k3_relat_1(u1_e_siec(A), k4_xboole_0(u2_e_siec(A), k4_relat_1(u1_struct_0(A))))=k1_xboole_0 & k3_relat_1(u2_e_siec(A), k4_xboole_0(u1_e_siec(A), k4_relat_1(u1_struct_0(A))))=k1_xboole_0) ) ) ).
fof(t16_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  =>  (k3_relat_1(k4_xboole_0(u1_e_siec(A), k4_relat_1(u1_struct_0(A))), k4_xboole_0(u1_e_siec(A), k4_relat_1(u1_struct_0(A))))=k1_xboole_0 &  (k3_relat_1(k4_xboole_0(u2_e_siec(A), k4_relat_1(u1_struct_0(A))), k4_xboole_0(u2_e_siec(A), k4_relat_1(u1_struct_0(A))))=k1_xboole_0 &  (k3_relat_1(k4_xboole_0(u1_e_siec(A), k4_relat_1(u1_struct_0(A))), k4_xboole_0(u2_e_siec(A), k4_relat_1(u1_struct_0(A))))=k1_xboole_0 & k3_relat_1(k4_xboole_0(u2_e_siec(A), k4_relat_1(u1_struct_0(A))), k4_xboole_0(u1_e_siec(A), k4_relat_1(u1_struct_0(A))))=k1_xboole_0) ) ) ) ) ).
fof(d9_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  => k7_e_siec(A)=k10_xtuple_0(u1_e_siec(A))) ) ).
fof(d10_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  => k8_e_siec(A)=k4_xboole_0(u1_struct_0(A), k7_e_siec(A))) ) ).
fof(t17_e_siec, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v2_e_siec(C) &  (v3_e_siec(C) & l1_e_siec(C)) )  =>  ~ ( ( (r2_hidden(k4_tarski(A, B), u1_e_siec(C)) | r2_hidden(k4_tarski(A, B), u2_e_siec(C)))  &  ( ~ (A=B)  &  ~ ( (r2_hidden(A, k8_e_siec(C)) & r2_hidden(B, k7_e_siec(C))) ) ) ) ) ) ) ) ) ).
fof(t18_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  =>  (r1_tarski(k4_xboole_0(u1_e_siec(A), k4_relat_1(u1_struct_0(A))), k2_zfmisc_1(k8_e_siec(A), k7_e_siec(A))) & r1_tarski(k4_xboole_0(u2_e_siec(A), k4_relat_1(u1_struct_0(A))), k2_zfmisc_1(k8_e_siec(A), k7_e_siec(A)))) ) ) ).
fof(d11_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  => k9_e_siec(A)=k4_xboole_0(k2_xboole_0(k2_relat_1(u1_e_siec(A)), u2_e_siec(A)), k3_struct_0(A))) ) ).
fof(t19_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  => r1_tarski(k9_e_siec(A), k2_xboole_0(k2_zfmisc_1(k7_e_siec(A), k8_e_siec(A)), k2_zfmisc_1(k8_e_siec(A), k7_e_siec(A))))) ) ).
fof(d12_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  => k10_e_siec(A)=k4_xboole_0(u1_e_siec(A), k4_relat_1(u1_struct_0(A)))) ) ).
fof(d13_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  => k11_e_siec(A)=k4_xboole_0(u2_e_siec(A), k4_relat_1(u1_struct_0(A)))) ) ).
fof(t20_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  =>  (r1_tarski(k10_e_siec(A), k2_zfmisc_1(k8_e_siec(A), k7_e_siec(A))) & r1_tarski(k11_e_siec(A), k2_zfmisc_1(k8_e_siec(A), k7_e_siec(A)))) ) ) ).
fof(d14_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  => k12_e_siec(A)=u1_struct_0(A)) ) ).
fof(d15_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  => k13_e_siec(A)=k2_relat_1(k2_xboole_0(u1_e_siec(A), u2_e_siec(A)))) ) ).
fof(d16_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  => k14_e_siec(A)=k2_xboole_0(k2_xboole_0(k2_relat_1(u1_e_siec(A)), u2_e_siec(A)), k4_relat_1(u1_struct_0(A)))) ) ).
fof(t21_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  =>  (r1_tarski(k13_e_siec(A), k2_zfmisc_1(k12_e_siec(A), k12_e_siec(A))) & r1_tarski(k14_e_siec(A), k2_zfmisc_1(k12_e_siec(A), k12_e_siec(A)))) ) ) ).
fof(t22_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  =>  (k3_relat_1(k13_e_siec(A), k13_e_siec(A))=k13_e_siec(A) &  (k3_relat_1(k4_xboole_0(k13_e_siec(A), k4_relat_1(k12_e_siec(A))), k13_e_siec(A))=k1_xboole_0 & k2_xboole_0(k2_xboole_0(k13_e_siec(A), k2_relat_1(k13_e_siec(A))), k4_relat_1(k12_e_siec(A)))=k2_xboole_0(k14_e_siec(A), k2_relat_1(k14_e_siec(A)))) ) ) ) ).
fof(t23_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  =>  (k3_relat_1(k4_relat_1(k4_xboole_0(u1_struct_0(A), k10_xtuple_0(u2_e_siec(A)))), k4_xboole_0(u2_e_siec(A), k4_relat_1(u1_struct_0(A))))=k4_xboole_0(u2_e_siec(A), k4_relat_1(u1_struct_0(A))) & k3_relat_1(k4_relat_1(k4_xboole_0(u1_struct_0(A), k10_xtuple_0(u1_e_siec(A)))), k4_xboole_0(u1_e_siec(A), k4_relat_1(u1_struct_0(A))))=k4_xboole_0(u1_e_siec(A), k4_relat_1(u1_struct_0(A)))) ) ) ).
fof(t24_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  =>  (k3_relat_1(k4_xboole_0(u2_e_siec(A), k4_relat_1(u1_struct_0(A))), k4_xboole_0(u2_e_siec(A), k4_relat_1(u1_struct_0(A))))=k1_xboole_0 &  (k3_relat_1(k4_xboole_0(u1_e_siec(A), k4_relat_1(u1_struct_0(A))), k4_xboole_0(u1_e_siec(A), k4_relat_1(u1_struct_0(A))))=k1_xboole_0 &  (k3_relat_1(k4_xboole_0(u2_e_siec(A), k4_relat_1(u1_struct_0(A))), k4_xboole_0(u1_e_siec(A), k4_relat_1(u1_struct_0(A))))=k1_xboole_0 & k3_relat_1(k4_xboole_0(u1_e_siec(A), k4_relat_1(u1_struct_0(A))), k4_xboole_0(u2_e_siec(A), k4_relat_1(u1_struct_0(A))))=k1_xboole_0) ) ) ) ) ).
fof(t25_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  =>  (k3_relat_1(k2_relat_1(k4_xboole_0(u2_e_siec(A), k4_relat_1(u1_struct_0(A)))), k2_relat_1(k4_xboole_0(u2_e_siec(A), k4_relat_1(u1_struct_0(A)))))=k1_xboole_0 & k3_relat_1(k2_relat_1(k4_xboole_0(u1_e_siec(A), k4_relat_1(u1_struct_0(A)))), k2_relat_1(k4_xboole_0(u1_e_siec(A), k4_relat_1(u1_struct_0(A)))))=k1_xboole_0) ) ) ).
fof(t26_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  =>  (k3_relat_1(k2_relat_1(k4_xboole_0(u2_e_siec(A), k4_relat_1(u1_struct_0(A)))), k2_relat_1(k4_relat_1(k4_xboole_0(u1_struct_0(A), k10_xtuple_0(u2_e_siec(A))))))=k2_relat_1(k4_xboole_0(u2_e_siec(A), k4_relat_1(u1_struct_0(A)))) & k3_relat_1(k2_relat_1(k4_xboole_0(u1_e_siec(A), k4_relat_1(u1_struct_0(A)))), k2_relat_1(k4_relat_1(k4_xboole_0(u1_struct_0(A), k10_xtuple_0(u1_e_siec(A))))))=k2_relat_1(k4_xboole_0(u1_e_siec(A), k4_relat_1(u1_struct_0(A))))) ) ) ).
fof(t27_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  =>  (k3_relat_1(k4_xboole_0(u2_e_siec(A), k4_relat_1(u1_struct_0(A))), k4_relat_1(k4_xboole_0(u1_struct_0(A), k10_xtuple_0(u2_e_siec(A)))))=k1_xboole_0 & k3_relat_1(k4_xboole_0(u1_e_siec(A), k4_relat_1(u1_struct_0(A))), k4_relat_1(k4_xboole_0(u1_struct_0(A), k10_xtuple_0(u1_e_siec(A)))))=k1_xboole_0) ) ) ).
fof(t28_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  =>  (k3_relat_1(k4_relat_1(k4_xboole_0(u1_struct_0(A), k10_xtuple_0(u2_e_siec(A)))), k2_relat_1(k4_xboole_0(u2_e_siec(A), k4_relat_1(u1_struct_0(A)))))=k1_xboole_0 & k3_relat_1(k4_relat_1(k4_xboole_0(u1_struct_0(A), k10_xtuple_0(u1_e_siec(A)))), k2_relat_1(k4_xboole_0(u1_e_siec(A), k4_relat_1(u1_struct_0(A)))))=k1_xboole_0) ) ) ).
fof(d17_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  => k15_e_siec(A)=k2_xboole_0(k2_relat_1(k4_xboole_0(u2_e_siec(A), k4_relat_1(u1_struct_0(A)))), k4_relat_1(k4_xboole_0(u1_struct_0(A), k10_xtuple_0(u2_e_siec(A)))))) ) ).
fof(d18_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  => k16_e_siec(A)=k2_xboole_0(k2_relat_1(k4_xboole_0(u1_e_siec(A), k4_relat_1(u1_struct_0(A)))), k4_relat_1(k4_xboole_0(u1_struct_0(A), k10_xtuple_0(u1_e_siec(A)))))) ) ).
fof(t29_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  =>  (k3_relat_1(k15_e_siec(A), k15_e_siec(A))=k15_e_siec(A) &  (k3_relat_1(k15_e_siec(A), k16_e_siec(A))=k15_e_siec(A) &  (k3_relat_1(k16_e_siec(A), k15_e_siec(A))=k16_e_siec(A) & k3_relat_1(k16_e_siec(A), k16_e_siec(A))=k16_e_siec(A)) ) ) ) ) ).
fof(t30_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  =>  (k3_relat_1(k15_e_siec(A), k4_xboole_0(k15_e_siec(A), k4_relat_1(k12_e_siec(A))))=k1_xboole_0 & k3_relat_1(k16_e_siec(A), k4_xboole_0(k16_e_siec(A), k4_relat_1(k12_e_siec(A))))=k1_xboole_0) ) ) ).
fof(d19_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  => k17_e_siec(A)=k2_xboole_0(k4_xboole_0(k2_xboole_0(u1_e_siec(A), u2_e_siec(A)), k4_relat_1(u1_struct_0(A))), k4_relat_1(k4_xboole_0(u1_struct_0(A), k10_xtuple_0(u1_e_siec(A)))))) ) ).
fof(t31_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  =>  (r1_tarski(k17_e_siec(A), k2_zfmisc_1(k12_e_siec(A), k12_e_siec(A))) & r1_tarski(k14_e_siec(A), k2_zfmisc_1(k12_e_siec(A), k12_e_siec(A)))) ) ) ).
fof(t32_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  =>  (k3_relat_1(k17_e_siec(A), k17_e_siec(A))=k17_e_siec(A) &  (k3_relat_1(k4_xboole_0(k17_e_siec(A), k4_relat_1(k12_e_siec(A))), k17_e_siec(A))=k1_xboole_0 & k2_xboole_0(k2_xboole_0(k17_e_siec(A), k2_relat_1(k17_e_siec(A))), k4_relat_1(k12_e_siec(A)))=k2_xboole_0(k14_e_siec(A), k2_relat_1(k14_e_siec(A)))) ) ) ) ).
fof(t33_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  =>  (r1_tarski(k2_relat_1(k4_xboole_0(u1_e_siec(A), k4_relat_1(u1_struct_0(A)))), k2_zfmisc_1(k7_e_siec(A), k8_e_siec(A))) & r1_tarski(k2_relat_1(k4_xboole_0(u2_e_siec(A), k4_relat_1(u1_struct_0(A)))), k2_zfmisc_1(k7_e_siec(A), k8_e_siec(A)))) ) ) ).
fof(d20_e_siec, axiom,  (! [A] :  (l1_e_siec(A) => k18_e_siec(A)=k2_relat_1(k4_xboole_0(u2_e_siec(A), k4_relat_1(u1_struct_0(A))))) ) ).
fof(d21_e_siec, axiom,  (! [A] :  (l1_e_siec(A) => k19_e_siec(A)=k2_relat_1(k4_xboole_0(u1_e_siec(A), k4_relat_1(u1_struct_0(A))))) ) ).
fof(t34_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  =>  (r1_tarski(k19_e_siec(A), k2_zfmisc_1(k7_e_siec(A), k8_e_siec(A))) & r1_tarski(k18_e_siec(A), k2_zfmisc_1(k7_e_siec(A), k8_e_siec(A)))) ) ) ).
fof(abstractness_v1_e_siec, axiom,  (! [A] :  (l1_e_siec(A) =>  (v1_e_siec(A) => A=g1_e_siec(u1_struct_0(A), u1_e_siec(A), u2_e_siec(A))) ) ) ).
fof(dt_l1_e_siec, axiom,  (! [A] :  (l1_e_siec(A) => l1_struct_0(A)) ) ).
fof(existence_l1_e_siec, axiom,  (? [A] : l1_e_siec(A)) ).
fof(dt_g1_e_siec, axiom,  (! [A, B, C] :  ( (v1_relat_1(B) & v1_relat_1(C))  =>  (v1_e_siec(g1_e_siec(A, B, C)) & l1_e_siec(g1_e_siec(A, B, C))) ) ) ).
fof(free_g1_e_siec, axiom,  (! [A, B, C] :  ( (v1_relat_1(B) & v1_relat_1(C))  =>  (! [D, E, F] :  (g1_e_siec(A, B, C)=g1_e_siec(D, E, F) =>  (A=D &  (B=E & C=F) ) ) ) ) ) ).
fof(dt_u1_e_siec, axiom,  (! [A] :  (l1_e_siec(A) => v1_relat_1(u1_e_siec(A))) ) ).
fof(dt_u2_e_siec, axiom,  (! [A] :  (l1_e_siec(A) => v1_relat_1(u2_e_siec(A))) ) ).
fof(dt_k1_e_siec, axiom,  (v1_e_siec(k1_e_siec) &  (v2_e_siec(k1_e_siec) &  (v3_e_siec(k1_e_siec) & l1_e_siec(k1_e_siec)) ) ) ).
fof(dt_k2_e_siec, axiom,  (! [A] :  (v1_e_siec(k2_e_siec(A)) &  (v2_e_siec(k2_e_siec(A)) &  (v3_e_siec(k2_e_siec(A)) & l1_e_siec(k2_e_siec(A))) ) ) ) ).
fof(dt_k3_e_siec, axiom,  (! [A] :  (v1_e_siec(k3_e_siec(A)) &  (v2_e_siec(k3_e_siec(A)) &  (v3_e_siec(k3_e_siec(A)) & l1_e_siec(k3_e_siec(A))) ) ) ) ).
fof(dt_k4_e_siec, axiom,  (! [A] :  (v1_e_siec(k4_e_siec(A)) &  (v2_e_siec(k4_e_siec(A)) &  (v3_e_siec(k4_e_siec(A)) & l1_e_siec(k4_e_siec(A))) ) ) ) ).
fof(dt_k5_e_siec, axiom,  (! [A] :  (v1_e_siec(k5_e_siec(A)) &  (v2_e_siec(k5_e_siec(A)) &  (v3_e_siec(k5_e_siec(A)) & l1_e_siec(k5_e_siec(A))) ) ) ) ).
fof(dt_k6_e_siec, axiom,  (! [A, B] :  (v1_e_siec(k6_e_siec(A, B)) &  (v2_e_siec(k6_e_siec(A, B)) &  (v3_e_siec(k6_e_siec(A, B)) & l1_e_siec(k6_e_siec(A, B))) ) ) ) ).
fof(dt_k9_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  => v1_relat_1(k9_e_siec(A))) ) ).
fof(dt_k10_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  => v1_relat_1(k10_e_siec(A))) ) ).
fof(dt_k11_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  => v1_relat_1(k11_e_siec(A))) ) ).
fof(dt_k13_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  => v1_relat_1(k13_e_siec(A))) ) ).
fof(dt_k14_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  => v1_relat_1(k14_e_siec(A))) ) ).
fof(dt_k15_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  => v1_relat_1(k15_e_siec(A))) ) ).
fof(dt_k16_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  => v1_relat_1(k16_e_siec(A))) ) ).
fof(dt_k17_e_siec, axiom,  (! [A] :  ( (v2_e_siec(A) &  (v3_e_siec(A) & l1_e_siec(A)) )  => v1_relat_1(k17_e_siec(A))) ) ).
fof(dt_k18_e_siec, axiom,  (! [A] :  (l1_e_siec(A) => v1_relat_1(k18_e_siec(A))) ) ).
fof(dt_k19_e_siec, axiom,  (! [A] :  (l1_e_siec(A) => v1_relat_1(k19_e_siec(A))) ) ).
fof(rc1_ec_pf_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_ec_pf_1(B, A) &  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v36_algstr_0(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v1_int_3(B) &  (v1_vectsp_1(B) &  (v2_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) & v4_rlvect_1(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_ec_pf_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v8_struct_0(A) &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_ec_pf_1(B, A) &  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v8_struct_0(B) &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v1_int_3(B) &  (v1_vectsp_1(B) &  (v2_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) & v4_rlvect_1(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_ec_pf_1, axiom,  (? [A] :  (l6_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v8_struct_0(A) &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v36_algstr_0(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_int_3(A) &  (v1_vectsp_1(A) &  (v2_vectsp_1(A) &  (v3_vectsp_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v6_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) & v4_rlvect_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  => v8_struct_0(k9_int_3(A))) ) ).
fof(fc2_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  => v1_ec_pf_1(k9_int_3(A))) ) ).
fof(rc4_ec_pf_1, axiom,  (? [A] :  (l6_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_int_3(A) &  (v1_vectsp_1(A) &  (v2_vectsp_1(A) &  (v3_vectsp_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v6_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & v1_ec_pf_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc3_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  ( ~ (v2_struct_0(k1_uniroots(k9_int_3(A))))  &  (v15_algstr_0(k1_uniroots(k9_int_3(A))) &  (v2_group_1(k1_uniroots(k9_int_3(A))) &  (v3_group_1(k1_uniroots(k9_int_3(A))) & v1_gr_cy_1(k1_uniroots(k9_int_3(A)))) ) ) ) ) ) ).
fof(fc4_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  => v2_ec_pf_1(k5_struct_0(k9_int_3(A)), A)) ) ).
fof(fc5_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (v1_partfun1(k7_ec_pf_1(A), k3_ec_pf_1(k9_int_3(A))) &  (v3_relat_2(k7_ec_pf_1(A)) & v8_relat_2(k7_ec_pf_1(A))) ) ) ) ).
fof(d1_ec_pf_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (m1_ec_pf_1(B, A) <=>  (r1_tarski(u1_struct_0(B), u1_struct_0(A)) &  (u1_algstr_0(B)=k1_realset1(u1_algstr_0(A), u1_struct_0(B)) &  (u2_algstr_0(B)=k1_realset1(u2_algstr_0(A), u1_struct_0(B)) &  (k5_struct_0(B)=k5_struct_0(A) & k4_struct_0(B)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ).
fof(t1_ec_pf_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  => m1_ec_pf_1(A, A)) ) ).
fof(t2_ec_pf_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l6_algstr_0(B))  =>  ( (m1_subset_1(u1_struct_0(B), k1_zfmisc_1(u1_struct_0(A))) &  (u1_algstr_0(B)=k1_realset1(u1_algstr_0(A), u1_struct_0(B)) &  (u2_algstr_0(B)=k1_realset1(u2_algstr_0(A), u1_struct_0(B)) &  (k5_struct_0(B)=k5_struct_0(A) &  (k4_struct_0(B)=k4_struct_0(A) &  (v13_algstr_0(B) &  (v5_group_1(B) & v33_algstr_0(B)) ) ) ) ) ) )  =>  (v6_struct_0(B) | m1_ec_pf_1(B, A)) ) ) ) ) ) ).
fof(t3_ec_pf_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (m1_ec_pf_1(A, B) =>  (! [C] :  (r1_struct_0(A, C) => r1_struct_0(B, C)) ) ) ) ) ) ) ).
fof(t4_ec_pf_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v36_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v36_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) )  =>  ( (m1_ec_pf_1(A, B) & m1_ec_pf_1(B, A))  => A=B) ) ) ) ) ).
fof(t5_ec_pf_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  ( (m1_ec_pf_1(A, B) & m1_ec_pf_1(B, C))  => m1_ec_pf_1(A, C)) ) ) ) ) ) ) ).
fof(t6_ec_pf_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ec_pf_1(B, A) =>  (! [C] :  (m1_ec_pf_1(C, A) =>  (m1_ec_pf_1(B, C) <=> r1_tarski(u1_struct_0(B), u1_struct_0(C))) ) ) ) ) ) ) ).
fof(t7_ec_pf_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ec_pf_1(B, A) =>  (! [C] :  (m1_ec_pf_1(C, A) =>  (m1_ec_pf_1(B, C) <=>  (! [D] :  (r1_struct_0(B, D) => r1_struct_0(C, D)) ) ) ) ) ) ) ) ) ).
fof(t8_ec_pf_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v36_algstr_0(B) & m1_ec_pf_1(B, A))  =>  (! [C] :  ( (v36_algstr_0(C) & m1_ec_pf_1(C, A))  =>  (B=C <=> u1_struct_0(B)=u1_struct_0(C)) ) ) ) ) ) ) ).
fof(t9_ec_pf_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v36_algstr_0(B) & m1_ec_pf_1(B, A))  =>  (! [C] :  ( (v36_algstr_0(C) & m1_ec_pf_1(C, A))  =>  (B=C <=>  (! [D] :  (r1_struct_0(B, D) <=> r1_struct_0(C, D)) ) ) ) ) ) ) ) ) ).
fof(t10_ec_pf_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v8_struct_0(A) &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v36_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v36_algstr_0(B) & m1_ec_pf_1(B, A))  =>  (k1_ec_pf_1(A)=k7_struct_0(B) => B=A) ) ) ) ) ).
fof(d2_ec_pf_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (v1_ec_pf_1(A) <=>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  ( (v36_algstr_0(B) & m1_ec_pf_1(B, A))  => B=A) ) ) ) ) ) ).
fof(t11_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  => k5_numbers=k4_struct_0(k9_int_3(A))) ) ).
fof(t12_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  => 1=k5_struct_0(k9_int_3(A))) ) ).
fof(t13_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (? [C] :  (v7_ordinal1(C) & B=k4_nat_d(C, A)) ) ) ) ) ) ).
fof(t14_ec_pf_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  => m1_subset_1(k5_int_1(A, B), u1_struct_0(k9_int_3(B)))) ) ) ) ).
fof(t15_ec_pf_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( (v7_ordinal1(C) & v1_int_2(C))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_int_3(C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_int_3(C))) =>  ( (D=k5_int_1(A, C) & E=k5_int_1(B, C))  => k3_rlvect_1(k9_int_3(C), D, E)=k5_int_1(k2_xcmplx_0(A, B), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_ec_pf_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(B))) =>  (C=k5_int_1(A, B) => k4_algstr_0(k9_int_3(B), C)=k5_int_1(k6_xcmplx_0(B, A), B)) ) ) ) ) ) ) ).
fof(t17_ec_pf_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( (v7_ordinal1(C) & v1_int_2(C))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_int_3(C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_int_3(C))) =>  ( (D=k5_int_1(A, C) & E=k5_int_1(B, C))  => k5_algstr_0(k9_int_3(C), D, E)=k5_int_1(k6_xcmplx_0(A, B), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_ec_pf_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( (v7_ordinal1(C) & v1_int_2(C))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_int_3(C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_int_3(C))) =>  ( (D=k5_int_1(A, C) & E=k5_int_1(B, C))  => k8_group_1(k9_int_3(C), D, E)=k5_int_1(k3_xcmplx_0(A, B), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_ec_pf_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( (v7_ordinal1(C) & v1_int_2(C))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_int_3(C))) =>  ( (D=k5_int_1(A, C) & k5_int_1(k3_xcmplx_0(A, B), C)=1)  => k9_algstr_0(k9_int_3(C), D)=k5_int_1(B, C)) ) ) ) ) ) ) ) ) ).
fof(t20_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  ( (B=k5_numbers | C=k5_numbers)  <=> k8_group_1(k9_int_3(A), B, C)=k5_numbers) ) ) ) ) ) ) ).
fof(t21_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (k2_binom(k9_int_3(A), B, k5_numbers)=k1_group_1(k9_int_3(A)) & k2_binom(k9_int_3(A), B, k5_numbers)=1) ) ) ) ) ).
fof(t22_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) => k2_binom(k9_int_3(A), B, 2)=k8_group_1(k9_int_3(A), B, B)) ) ) ) ).
fof(t23_ec_pf_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v7_ordinal1(C) & v1_int_2(C))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_int_3(C))) =>  (D=k4_nat_d(B, C) => k2_binom(k9_int_3(C), D, A)=k4_nat_d(k1_newton(B, A), C)) ) ) ) ) ) ) ) ) ).
fof(t24_ec_pf_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) => k2_binom(A, B, k1_nat_1(C, 1))=k6_algstr_0(A, k2_binom(A, B, C), B)) ) ) ) ) ) ).
fof(t25_ec_pf_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(B))) =>  ~ ( ( ~ (C=k5_numbers)  & k2_binom(k9_int_3(B), C, A)=k5_numbers) ) ) ) ) ) ) ) ).
fof(t26_ec_pf_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k8_group_1(A, B, B)=k8_group_1(A, C, C) <=>  (B=C | B=k4_algstr_0(A, C)) ) ) ) ) ) ) ) ).
fof(t27_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (k3_rlvect_1(k9_int_3(A), B, B)=k4_struct_0(k9_int_3(A)) =>  (r1_xxreal_0(A, 2) | B=k4_struct_0(k9_int_3(A))) ) ) ) ) ) ).
fof(t28_ec_pf_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(B))) =>  ( ~ (C=k5_numbers)  => k2_binom(k9_int_3(B), k9_algstr_0(k9_int_3(B), C), A)=k9_algstr_0(k9_int_3(B), k2_binom(k9_int_3(B), C, A))) ) ) ) ) ) ) ).
fof(t29_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_uniroots(k9_int_3(A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (B=C => k5_group_1(k1_uniroots(k9_int_3(A)), B, D)=k2_binom(k9_int_3(A), C, D)) ) ) ) ) ) ) ) ) ).
fof(t30_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) &  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  ~ ( ( ~ (C=k4_struct_0(k9_int_3(A)))  &  (! [D] :  (v7_ordinal1(D) =>  ~ (C=k2_binom(k9_int_3(A), B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (v2_ec_pf_1(B, A) <=>  ( ~ (B=k5_numbers)  &  (? [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) & k2_binom(k9_int_3(A), C, 2)=B) ) ) ) ) ) ) ) ).
fof(d4_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (v3_ec_pf_1(B, A) <=>  ( ~ (B=k5_numbers)  &  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  ~ (k2_binom(k9_int_3(A), C, 2)=B) ) ) ) ) ) ) ) ) ).
fof(t31_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  ( ~ (B=k5_numbers)  => v2_ec_pf_1(k2_binom(k9_int_3(A), B, 2), A)) ) ) ) ) ).
fof(d5_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  ( (B=k5_numbers => k2_ec_pf_1(A, B)=k5_numbers)  &  ( (v2_ec_pf_1(B, A) => k2_ec_pf_1(A, B)=1)  &  ~ ( ( ~ (B=k5_numbers)  &  ( ~ (v2_ec_pf_1(B, A))  &  ~ (k2_ec_pf_1(A, B)=k4_xcmplx_0(1)) ) ) ) ) ) ) ) ) ) ).
fof(t32_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (v3_ec_pf_1(B, A) <=> k2_ec_pf_1(A, B)=k4_xcmplx_0(1)) ) ) ) ) ).
fof(t33_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (v2_ec_pf_1(B, A) <=> k2_ec_pf_1(A, B)=1) ) ) ) ) ).
fof(t34_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (B=k5_numbers <=> k2_ec_pf_1(A, B)=k5_numbers) ) ) ) ) ).
fof(t35_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  ( ~ (B=k5_numbers)  => k2_ec_pf_1(A, k2_binom(k9_int_3(A), B, 2))=1) ) ) ) ) ).
fof(t36_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) => k2_ec_pf_1(A, k8_group_1(k9_int_3(A), B, C))=k3_xcmplx_0(k2_ec_pf_1(A, B), k2_ec_pf_1(A, C))) ) ) ) ) ) ).
fof(t37_ec_pf_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(B))) =>  (k4_nat_d(A, 2)=k5_numbers =>  (C=k5_numbers | k2_ec_pf_1(B, k2_binom(k9_int_3(B), C, A))=1) ) ) ) ) ) ) ) ).
fof(t38_ec_pf_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(B))) =>  (k4_nat_d(A, 2)=1 => k2_ec_pf_1(B, k2_binom(k9_int_3(B), C, A))=k2_ec_pf_1(B, C)) ) ) ) ) ) ) ).
fof(d6_ec_pf_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  => k3_ec_pf_1(A)=k6_subset_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), k6_domain_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), k4_domain_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), k4_struct_0(A), k4_struct_0(A), k4_struct_0(A))))) ) ).
fof(t40_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  => k3_ec_pf_1(k9_int_3(A))=k6_subset_1(k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k6_domain_1(k3_zfmisc_1(k4_ordinal1, k4_ordinal1, k4_ordinal1), k4_domain_1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k5_numbers, k5_numbers, k5_numbers)))) ) ).
fof(d7_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_int_3(A))) =>  (D=k4_ec_pf_1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_int_3(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k9_int_3(A))) =>  ( (E=k4_nat_d(4, A) & F=k4_nat_d(27, A))  => D=k3_rlvect_1(k9_int_3(A), k8_group_1(k9_int_3(A), E, k2_binom(k9_int_3(A), B, 3)), k8_group_1(k9_int_3(A), F, k2_binom(k9_int_3(A), C, 2)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), u1_struct_0(k9_int_3(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), u1_struct_0(k9_int_3(A)))))) )  =>  (D=k5_ec_pf_1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)))) => k3_funct_2(k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), u1_struct_0(k9_int_3(A)), D, E)=k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), k2_binom(k9_int_3(A), k2_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), E), 2), k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), E)), k3_rlvect_1(k9_int_3(A), k3_rlvect_1(k9_int_3(A), k2_binom(k9_int_3(A), k1_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), E), 3), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), B, k1_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), E)), k2_binom(k9_int_3(A), k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), E), 2))), k8_group_1(k9_int_3(A), C, k2_binom(k9_int_3(A), k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), E), 3))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_int_3(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_int_3(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k9_int_3(A))) => k3_funct_2(k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), u1_struct_0(k9_int_3(A)), k5_ec_pf_1(A, B, C), k4_domain_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), D, E, F))=k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), k2_binom(k9_int_3(A), E, 2), F), k3_rlvect_1(k9_int_3(A), k3_rlvect_1(k9_int_3(A), k2_binom(k9_int_3(A), D, 3), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), B, D), k2_binom(k9_int_3(A), F, 2))), k8_group_1(k9_int_3(A), C, k2_binom(k9_int_3(A), F, 3))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) => m2_subset_1(k4_domain_1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k5_numbers, 1, k5_numbers), k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, B, C))) ) ) ) ) ) ).
fof(t43_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_int_3(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_int_3(A))) =>  (k2_binom(k9_int_3(A), E, 2)=k3_rlvect_1(k9_int_3(A), k3_rlvect_1(k9_int_3(A), k2_binom(k9_int_3(A), D, 3), k8_group_1(k9_int_3(A), B, D)), C) <=> m2_subset_1(k4_domain_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), k4_ordinal1, D, E, 1), k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m2_subset_1(B, k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k3_ec_pf_1(k9_int_3(A))) =>  (! [C] :  (m2_subset_1(C, k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k3_ec_pf_1(k9_int_3(A))) =>  (r1_ec_pf_1(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(k9_int_3(A))) &  ( ~ (D=k4_struct_0(k9_int_3(A)))  &  (k1_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), B)=k8_group_1(k9_int_3(A), D, k1_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), C)) &  (k2_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), B)=k8_group_1(k9_int_3(A), D, k2_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), C)) & k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), B)=k8_group_1(k9_int_3(A), D, k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m2_subset_1(B, k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k3_ec_pf_1(k9_int_3(A))) =>  (! [C] :  (m2_subset_1(C, k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k3_ec_pf_1(k9_int_3(A))) =>  (! [D] :  (m2_subset_1(D, k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k3_ec_pf_1(k9_int_3(A))) =>  ( (r1_ec_pf_1(A, B, C) & r1_ec_pf_1(A, C, D))  => r1_ec_pf_1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t45_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (! [D] :  (m1_subset_1(D, k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)))) =>  (! [E] :  (m1_subset_1(E, k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k9_int_3(A))) =>  ( (r2_tarski(D, k6_ec_pf_1(A, B, C)) &  (k1_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), E)=k8_group_1(k9_int_3(A), F, k1_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), D)) &  (k2_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), E)=k8_group_1(k9_int_3(A), F, k2_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), D)) & k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), E)=k8_group_1(k9_int_3(A), F, k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), D))) ) )  =>  (r1_xxreal_0(A, 3) |  (k4_ec_pf_1(A, B, C)=k4_struct_0(k9_int_3(A)) |  (F=k4_struct_0(k9_int_3(A)) | r2_tarski(E, k6_ec_pf_1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m2_subset_1(B, k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k3_ec_pf_1(k9_int_3(A))) =>  (! [C] :  (m2_subset_1(C, k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k3_ec_pf_1(k9_int_3(A))) =>  (r1_ec_pf_1(A, B, C) <=> r2_tarski(k1_domain_1(k3_ec_pf_1(k9_int_3(A)), k3_ec_pf_1(k9_int_3(A)), B, C), k7_ec_pf_1(A))) ) ) ) ) ) ) ).
fof(d12_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) => k8_ec_pf_1(A, B, C)=k9_subset_1(k2_zfmisc_1(k6_ec_pf_1(A, B, C), k6_ec_pf_1(A, B, C)), k7_ec_pf_1(A), k1_eqrel_1(k6_ec_pf_1(A, B, C)))) ) ) ) ) ) ).
fof(t47_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (! [D] :  (m2_subset_1(D, k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k3_ec_pf_1(k9_int_3(A))) =>  (! [E] :  (m2_subset_1(E, k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k3_ec_pf_1(k9_int_3(A))) =>  ( (r2_tarski(D, k6_ec_pf_1(A, B, C)) & r2_tarski(E, k6_ec_pf_1(A, B, C)))  =>  (k4_ec_pf_1(A, B, C)=k4_struct_0(k9_int_3(A)) |  (r1_ec_pf_1(A, D, E) <=> r2_tarski(k1_domain_1(k3_ec_pf_1(k9_int_3(A)), k3_ec_pf_1(k9_int_3(A)), D, E), k8_ec_pf_1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (! [D] :  (m2_subset_1(D, k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k3_ec_pf_1(k9_int_3(A))) =>  ~ ( ( ~ (r1_xxreal_0(A, 3))  &  ( ~ (k4_ec_pf_1(A, B, C)=k4_struct_0(k9_int_3(A)))  &  (r2_tarski(D, k6_ec_pf_1(A, B, C)) &  ( ~ (k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), D)=k5_numbers)  &  (! [E] :  (m2_subset_1(E, k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k3_ec_pf_1(k9_int_3(A))) =>  ~ ( (r2_tarski(E, k6_ec_pf_1(A, B, C)) &  (r1_ec_pf_1(A, E, D) & k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), E)=1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (! [D] :  (m2_subset_1(D, k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k3_ec_pf_1(k9_int_3(A))) =>  ~ ( ( ~ (r1_xxreal_0(A, 3))  &  ( ~ (k4_ec_pf_1(A, B, C)=k4_struct_0(k9_int_3(A)))  &  (r2_tarski(D, k6_ec_pf_1(A, B, C)) &  (k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), D)=k5_numbers &  (! [E] :  (m2_subset_1(E, k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k3_ec_pf_1(k9_int_3(A))) =>  ~ ( (r2_tarski(E, k6_ec_pf_1(A, B, C)) &  (r1_ec_pf_1(A, E, D) &  (k1_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), E)=k5_numbers &  (k2_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), E)=1 & k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), E)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (! [D] :  ~ ( ( ~ (r1_xxreal_0(A, 3))  &  ( ~ (k4_ec_pf_1(A, B, C)=k4_struct_0(k9_int_3(A)))  &  (r2_tarski(D, k8_eqrel_1(k6_ec_pf_1(A, B, C), k8_ec_pf_1(A, B, C))) &  ( (! [E] :  (m2_subset_1(E, k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k3_ec_pf_1(k9_int_3(A))) =>  ~ ( (r2_tarski(E, k6_ec_pf_1(A, B, C)) &  (E=k4_domain_1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k5_numbers, 1, k5_numbers) & D=k6_eqrel_1(k6_ec_pf_1(A, B, C), k6_ec_pf_1(A, B, C), k8_ec_pf_1(A, B, C), E)) ) ) ) )  &  (! [E] :  (m2_subset_1(E, k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k3_ec_pf_1(k9_int_3(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k9_int_3(A))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k9_int_3(A))) =>  ~ ( (r2_tarski(E, k6_ec_pf_1(A, B, C)) &  (E=k4_domain_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), k4_ordinal1, F, G, 1) & D=k6_eqrel_1(k6_ec_pf_1(A, B, C), k6_ec_pf_1(A, B, C), k8_ec_pf_1(A, B, C), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_int_3(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_int_3(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k9_int_3(A))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k9_int_3(A))) =>  ( (r2_tarski(k4_domain_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), k4_ordinal1, D, E, 1), k6_ec_pf_1(A, B, C)) & r2_tarski(k4_domain_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), k4_ordinal1, F, G, 1), k6_ec_pf_1(A, B, C)))  =>  (r1_xxreal_0(A, 3) |  (k4_ec_pf_1(A, B, C)=k4_struct_0(k9_int_3(A)) |  (k6_eqrel_1(k6_ec_pf_1(A, B, C), k6_ec_pf_1(A, B, C), k8_ec_pf_1(A, B, C), k4_domain_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), k4_ordinal1, D, E, 1))=k6_eqrel_1(k6_ec_pf_1(A, B, C), k6_ec_pf_1(A, B, C), k8_ec_pf_1(A, B, C), k4_domain_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), k4_ordinal1, F, G, 1)) <=>  (D=F & E=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_ec_pf_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_partfun1(B, A) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k8_eqrel_1(A, B)) & v1_funct_1(C)) )  =>  (! [D] :  (r2_tarski(D, k9_xtuple_0(C)) =>  (v1_finset_1(k1_funct_1(C, D)) & m1_subset_1(k1_funct_1(C, D), k1_zfmisc_1(A))) ) ) ) ) ) ) ) ) ).
fof(t55_ec_pf_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k8_eqrel_1(A, B)) & v1_funct_1(C)) )  =>  (v2_funct_1(C) => v1_prob_2(C)) ) ) ) ) ) ) ).
fof(t56_ec_pf_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k8_eqrel_1(A, B)) & v1_funct_1(C)) )  =>  (v2_funct_2(C, k8_eqrel_1(A, B)) => k3_card_3(C)=A) ) ) ) ) ) ) ).
fof(t57_ec_pf_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_partfun1(B, A) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k8_eqrel_1(A, B)) & v1_funct_1(C)) )  =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  ( (v2_funct_1(C) &  (v2_funct_2(C, k8_eqrel_1(A, B)) &  (k9_xtuple_0(C)=k4_finseq_1(D) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k9_xtuple_0(C)) => k1_funct_1(D, E)=k1_card_1(k1_funct_1(C, E))) ) ) ) ) )  => k4_card_1(A)=k1_wsierp_1(D)) ) ) ) ) ) ) ) ) ).
fof(t61_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  ~ ( ( ~ (r1_xxreal_0(A, 3))  &  ( ~ (k4_ec_pf_1(A, B, C)=k4_struct_0(k9_int_3(A)))  &  (! [D] :  (m2_finseq_1(D, k4_numbers) =>  ~ ( (k3_finseq_1(D)=A &  ( (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_tarski(E, k2_finseq_1(A)) &  (! [F] :  (m1_subset_1(F, u1_struct_0(k9_int_3(A))) =>  ~ ( (F=k6_xcmplx_0(E, 1) & k1_funct_1(D, E)=k2_ec_pf_1(A, k3_rlvect_1(k9_int_3(A), k3_rlvect_1(k9_int_3(A), k2_binom(k9_int_3(A), F, 3), k8_group_1(k9_int_3(A), B, F)), C))) ) ) ) ) ) ) )  & k4_card_1(k8_eqrel_1(k6_ec_pf_1(A, B, C), k8_ec_pf_1(A, B, C)))=k2_xcmplx_0(k2_xcmplx_0(1, A), k1_gr_cy_1(D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_m1_ec_pf_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ec_pf_1(B, A) =>  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(existence_m1_ec_pf_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (? [B] : m1_ec_pf_1(B, A)) ) ) ).
fof(dt_k1_ec_pf_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v8_struct_0(A) &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  => m1_subset_1(k1_ec_pf_1(A), k4_ordinal1)) ) ).
fof(redefinition_k1_ec_pf_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v8_struct_0(A) &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  => k1_ec_pf_1(A)=k7_struct_0(A)) ) ).
fof(dt_k2_ec_pf_1, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  & m1_subset_1(B, u1_struct_0(k9_int_3(A))))  => v1_int_1(k2_ec_pf_1(A, B))) ) ).
fof(dt_k3_ec_pf_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k3_ec_pf_1(A)))  & m1_subset_1(k3_ec_pf_1(A), k1_zfmisc_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))))) ) ) ).
fof(dt_k4_ec_pf_1, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  &  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) & m1_subset_1(C, u1_struct_0(k9_int_3(A)))) )  => m1_subset_1(k4_ec_pf_1(A, B, C), u1_struct_0(k9_int_3(A)))) ) ).
fof(dt_k5_ec_pf_1, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  &  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) & m1_subset_1(C, u1_struct_0(k9_int_3(A)))) )  =>  (v1_funct_1(k5_ec_pf_1(A, B, C)) &  (v1_funct_2(k5_ec_pf_1(A, B, C), k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), u1_struct_0(k9_int_3(A))) & m1_subset_1(k5_ec_pf_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), u1_struct_0(k9_int_3(A)))))) ) ) ) ).
fof(dt_k6_ec_pf_1, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  &  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) & m1_subset_1(C, u1_struct_0(k9_int_3(A)))) )  =>  ( ~ (v1_xboole_0(k6_ec_pf_1(A, B, C)))  & m1_subset_1(k6_ec_pf_1(A, B, C), k1_zfmisc_1(k3_ec_pf_1(k9_int_3(A))))) ) ) ).
fof(symmetry_r1_ec_pf_1, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  &  (m1_subset_1(B, k3_ec_pf_1(k9_int_3(A))) & m1_subset_1(C, k3_ec_pf_1(k9_int_3(A)))) )  =>  (r1_ec_pf_1(A, B, C) => r1_ec_pf_1(A, C, B)) ) ) ).
fof(reflexivity_r1_ec_pf_1, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  &  (m1_subset_1(B, k3_ec_pf_1(k9_int_3(A))) & m1_subset_1(C, k3_ec_pf_1(k9_int_3(A)))) )  => r1_ec_pf_1(A, B, B)) ) ).
fof(dt_k7_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  => m1_subset_1(k7_ec_pf_1(A), k1_zfmisc_1(k2_zfmisc_1(k3_ec_pf_1(k9_int_3(A)), k3_ec_pf_1(k9_int_3(A)))))) ) ).
fof(dt_k8_ec_pf_1, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  &  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) & m1_subset_1(C, u1_struct_0(k9_int_3(A)))) )  =>  (v1_partfun1(k8_ec_pf_1(A, B, C), k6_ec_pf_1(A, B, C)) &  (v3_relat_2(k8_ec_pf_1(A, B, C)) &  (v8_relat_2(k8_ec_pf_1(A, B, C)) & m1_subset_1(k8_ec_pf_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k6_ec_pf_1(A, B, C), k6_ec_pf_1(A, B, C))))) ) ) ) ) ).
fof(t39_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  ( ~ (r1_xxreal_0(A, 2))  => k1_card_1(a_2_0_ec_pf_1(A, B))=k2_xcmplx_0(1, k2_ec_pf_1(A, B))) ) ) ) ) ).
fof(d9_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) => k6_ec_pf_1(A, B, C)=a_3_0_ec_pf_1(A, B, C)) ) ) ) ) ) ).
fof(d11_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  => k7_ec_pf_1(A)=a_1_0_ec_pf_1(A)) ) ).
fof(t51_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  ~ ( ( ~ (r1_xxreal_0(A, 3))  &  ( ~ (k4_ec_pf_1(A, B, C)=k4_struct_0(k9_int_3(A)))  &  ~ (k8_eqrel_1(k6_ec_pf_1(A, B, C), k8_ec_pf_1(A, B, C))=k2_xboole_0(k6_domain_1(k1_zfmisc_1(k6_ec_pf_1(A, B, C)), k6_eqrel_1(k6_ec_pf_1(A, B, C), k6_ec_pf_1(A, B, C), k8_ec_pf_1(A, B, C), k4_domain_1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k5_numbers, 1, k5_numbers))), a_3_1_ec_pf_1(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t53_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (! [D] :  (! [E] :  ( (D=k6_domain_1(k1_zfmisc_1(k6_ec_pf_1(A, B, C)), k6_eqrel_1(k6_ec_pf_1(A, B, C), k6_ec_pf_1(A, B, C), k8_ec_pf_1(A, B, C), k4_domain_1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k5_numbers, 1, k5_numbers))) & E=a_3_1_ec_pf_1(A, B, C))  =>  (r1_xxreal_0(A, 3) |  (k4_ec_pf_1(A, B, C)=k4_struct_0(k9_int_3(A)) | r1_xboole_0(D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_int_3(A))) =>  (! [E] :  (! [F] :  ~ ( ( ~ (r1_xxreal_0(A, 3))  &  ( ~ (k4_ec_pf_1(A, B, C)=k4_struct_0(k9_int_3(A)))  &  (E=a_4_0_ec_pf_1(A, B, C, D) &  ( ~ (E=k1_xboole_0)  &  (F=a_4_1_ec_pf_1(A, B, C, D) &  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, E, F) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(E, F)))) )  =>  ~ ( (v2_funct_2(G, F) & v2_funct_1(G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_int_3(A))) =>  ~ ( ( ~ (r1_xxreal_0(A, 3))  &  ( ~ (k4_ec_pf_1(A, B, C)=k4_struct_0(k9_int_3(A)))  &  ~ (k1_card_1(a_4_1_ec_pf_1(A, B, C, D))=k2_xcmplx_0(1, k2_ec_pf_1(A, k3_rlvect_1(k9_int_3(A), k3_rlvect_1(k9_int_3(A), k2_binom(k9_int_3(A), D, 3), k8_group_1(k9_int_3(A), B, D)), C)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_ec_pf_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  ~ ( ( ~ (r1_xxreal_0(A, 3))  &  ( ~ (k4_ec_pf_1(A, B, C)=k4_struct_0(k9_int_3(A)))  &  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  ~ ( (k3_finseq_1(D)=A &  ( (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_tarski(E, k2_finseq_1(A)) &  (! [F] :  (m1_subset_1(F, u1_struct_0(k9_int_3(A))) =>  ~ ( (F=k6_xcmplx_0(E, 1) & k1_funct_1(D, E)=k2_xcmplx_0(1, k2_ec_pf_1(A, k3_rlvect_1(k9_int_3(A), k3_rlvect_1(k9_int_3(A), k2_binom(k9_int_3(A), F, 3), k8_group_1(k9_int_3(A), B, F)), C)))) ) ) ) ) ) ) )  & k1_card_1(a_3_1_ec_pf_1(A, B, C))=k1_wsierp_1(D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_ec_pf_1, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(B) & v1_int_2(B))  & m1_subset_1(C, u1_struct_0(k9_int_3(B))))  =>  (r2_hidden(A, a_2_0_ec_pf_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(k9_int_3(B))) &  (A=D & k2_binom(k9_int_3(B), D, 2)=C) ) ) ) ) ) ).
fof(fraenkel_a_3_0_ec_pf_1, axiom,  (! [A, B, C, D] :  ( ( (v7_ordinal1(B) & v1_int_2(B))  &  (m1_subset_1(C, u1_struct_0(k9_int_3(B))) & m1_subset_1(D, u1_struct_0(k9_int_3(B)))) )  =>  (r2_hidden(A, a_3_0_ec_pf_1(B, C, D)) <=>  (? [E] :  (m2_subset_1(E, k3_zfmisc_1(u1_struct_0(k9_int_3(B)), u1_struct_0(k9_int_3(B)), u1_struct_0(k9_int_3(B))), k3_ec_pf_1(k9_int_3(B))) &  (A=E & k3_funct_2(k3_zfmisc_1(u1_struct_0(k9_int_3(B)), u1_struct_0(k9_int_3(B)), u1_struct_0(k9_int_3(B))), u1_struct_0(k9_int_3(B)), k5_ec_pf_1(B, C, D), E)=k4_struct_0(k9_int_3(B))) ) ) ) ) ) ).
fof(fraenkel_a_1_0_ec_pf_1, axiom,  (! [A, B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (r2_hidden(A, a_1_0_ec_pf_1(B)) <=>  (? [C, D] :  ( (m2_subset_1(C, k3_zfmisc_1(u1_struct_0(k9_int_3(B)), u1_struct_0(k9_int_3(B)), u1_struct_0(k9_int_3(B))), k3_ec_pf_1(k9_int_3(B))) & m2_subset_1(D, k3_zfmisc_1(u1_struct_0(k9_int_3(B)), u1_struct_0(k9_int_3(B)), u1_struct_0(k9_int_3(B))), k3_ec_pf_1(k9_int_3(B))))  &  (A=k1_domain_1(k3_ec_pf_1(k9_int_3(B)), k3_ec_pf_1(k9_int_3(B)), C, D) & r1_ec_pf_1(B, C, D)) ) ) ) ) ) ).
fof(fraenkel_a_3_1_ec_pf_1, axiom,  (! [A, B, C, D] :  ( ( (v7_ordinal1(B) & v1_int_2(B))  &  (m1_subset_1(C, u1_struct_0(k9_int_3(B))) & m1_subset_1(D, u1_struct_0(k9_int_3(B)))) )  =>  (r2_hidden(A, a_3_1_ec_pf_1(B, C, D)) <=>  (? [E] :  (m2_subset_1(E, k3_zfmisc_1(u1_struct_0(k9_int_3(B)), u1_struct_0(k9_int_3(B)), u1_struct_0(k9_int_3(B))), k3_ec_pf_1(k9_int_3(B))) &  (A=k6_eqrel_1(k6_ec_pf_1(B, C, D), k6_ec_pf_1(B, C, D), k8_ec_pf_1(B, C, D), E) &  (r2_tarski(E, k6_ec_pf_1(B, C, D)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(k9_int_3(B))) &  (? [G] :  (m1_subset_1(G, u1_struct_0(k9_int_3(B))) & E=k4_domain_1(u1_struct_0(k9_int_3(B)), u1_struct_0(k9_int_3(B)), k4_ordinal1, F, G, 1)) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_ec_pf_1, axiom,  (! [A, B, C, D, E] :  ( ( (v7_ordinal1(B) & v1_int_2(B))  &  (m1_subset_1(C, u1_struct_0(k9_int_3(B))) &  (m1_subset_1(D, u1_struct_0(k9_int_3(B))) & m1_subset_1(E, u1_struct_0(k9_int_3(B)))) ) )  =>  (r2_hidden(A, a_4_0_ec_pf_1(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(k9_int_3(B))) &  (A=F & k2_binom(k9_int_3(B), F, 2)=k3_rlvect_1(k9_int_3(B), k3_rlvect_1(k9_int_3(B), k2_binom(k9_int_3(B), E, 3), k8_group_1(k9_int_3(B), C, E)), D)) ) ) ) ) ) ).
fof(fraenkel_a_4_1_ec_pf_1, axiom,  (! [A, B, C, D, E] :  ( ( (v7_ordinal1(B) & v1_int_2(B))  &  (m1_subset_1(C, u1_struct_0(k9_int_3(B))) &  (m1_subset_1(D, u1_struct_0(k9_int_3(B))) & m1_subset_1(E, u1_struct_0(k9_int_3(B)))) ) )  =>  (r2_hidden(A, a_4_1_ec_pf_1(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(k9_int_3(B))) &  (A=k6_eqrel_1(k6_ec_pf_1(B, C, D), k6_ec_pf_1(B, C, D), k8_ec_pf_1(B, C, D), k4_domain_1(u1_struct_0(k9_int_3(B)), u1_struct_0(k9_int_3(B)), k4_ordinal1, E, F, 1)) & r2_tarski(k4_domain_1(u1_struct_0(k9_int_3(B)), u1_struct_0(k9_int_3(B)), k4_ordinal1, E, F, 1), k6_ec_pf_1(B, C, D))) ) ) ) ) ) ).
fof(rc1_ec_pf_2, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_int_2(A) &  (v1_xxreal_0(A) & v1_ec_pf_2(A, 5)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  =>  ~ (v1_xboole_0(k1_ec_pf_2(A))) ) ) ).
fof(t1_ec_pf_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_group_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_binom(A, B, 2)=k2_binom(A, k4_algstr_0(A, B), 2)) ) ) ) ).
fof(t2_ec_pf_2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  => k9_algstr_0(A, k5_struct_0(A))=k5_struct_0(A)) ) ).
fof(t3_ec_pf_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (k8_group_1(A, B, k9_algstr_0(A, C))=k8_group_1(A, D, k9_algstr_0(A, E)) =>  (C=k4_struct_0(A) |  (E=k4_struct_0(A) | k8_group_1(A, B, E)=k8_group_1(A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_ec_pf_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (k8_group_1(A, B, E)=k8_group_1(A, C, D) =>  (C=k4_struct_0(A) |  (E=k4_struct_0(A) | k8_group_1(A, B, k9_algstr_0(A, C))=k8_group_1(A, D, k9_algstr_0(A, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_ec_pf_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (r1_xxreal_0(1, A) => k2_binom(B, k4_struct_0(B), A)=k4_struct_0(B)) ) ) ) ) ).
fof(t6_ec_pf_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (B=k4_algstr_0(A, C) => k4_algstr_0(A, B)=C) ) ) ) ) ) ) ).
fof(t7_ec_pf_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (k3_rlvect_1(A, k3_rlvect_1(A, k3_rlvect_1(A, B, C), D), E)=k3_rlvect_1(A, k3_rlvect_1(A, k3_rlvect_1(A, E, C), D), B) & k3_rlvect_1(A, k3_rlvect_1(A, k3_rlvect_1(A, B, C), D), E)=k3_rlvect_1(A, k3_rlvect_1(A, k3_rlvect_1(A, B, E), D), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_ec_pf_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (k3_rlvect_1(A, k3_rlvect_1(A, k3_rlvect_1(A, B, C), D), E)=k3_rlvect_1(A, B, k3_rlvect_1(A, k3_rlvect_1(A, C, D), E)) & k3_rlvect_1(A, k3_rlvect_1(A, k3_rlvect_1(A, k3_rlvect_1(A, B, C), D), E), F)=k3_rlvect_1(A, B, k3_rlvect_1(A, k3_rlvect_1(A, k3_rlvect_1(A, C, D), E), F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_ec_pf_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) => k3_rlvect_1(A, k3_rlvect_1(A, k3_rlvect_1(A, k3_rlvect_1(A, k3_rlvect_1(A, B, C), D), E), F), G)=k3_rlvect_1(A, B, k3_rlvect_1(A, k3_rlvect_1(A, k3_rlvect_1(A, k3_rlvect_1(A, C, D), E), F), G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_ec_pf_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (k8_group_1(A, k8_group_1(A, k8_group_1(A, B, C), D), E)=k8_group_1(A, k8_group_1(A, k8_group_1(A, E, C), D), B) & k8_group_1(A, k8_group_1(A, k8_group_1(A, B, C), D), E)=k8_group_1(A, k8_group_1(A, k8_group_1(A, B, E), D), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_ec_pf_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (k6_algstr_0(A, k6_algstr_0(A, k6_algstr_0(A, B, C), D), E)=k6_algstr_0(A, B, k6_algstr_0(A, k6_algstr_0(A, C, D), E)) & k6_algstr_0(A, k6_algstr_0(A, k6_algstr_0(A, k6_algstr_0(A, B, C), D), E), F)=k6_algstr_0(A, B, k6_algstr_0(A, k6_algstr_0(A, k6_algstr_0(A, C, D), E), F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_ec_pf_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (k6_algstr_0(A, k6_algstr_0(A, k6_algstr_0(A, k6_algstr_0(A, k6_algstr_0(A, B, C), D), E), F), G)=k6_algstr_0(A, B, k6_algstr_0(A, k6_algstr_0(A, k6_algstr_0(A, k6_algstr_0(A, C, D), E), F), G)) & k6_algstr_0(A, k6_algstr_0(A, k6_algstr_0(A, k6_algstr_0(A, k6_algstr_0(A, B, C), D), E), F), G)=k6_algstr_0(A, k6_algstr_0(A, k6_algstr_0(A, B, k6_algstr_0(A, k6_algstr_0(A, C, D), E)), F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_ec_pf_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (v5_group_1(B) => k2_binom(B, k6_algstr_0(B, k6_algstr_0(B, C, D), E), A)=k6_algstr_0(B, k6_algstr_0(B, k2_binom(B, C, A), k2_binom(B, D, A)), k2_binom(B, E, A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_ec_pf_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (k6_algstr_0(A, B, k3_rlvect_1(A, k3_rlvect_1(A, C, D), E))=k3_rlvect_1(A, k3_rlvect_1(A, k6_algstr_0(A, B, C), k6_algstr_0(A, B, D)), k6_algstr_0(A, B, E)) &  (k6_algstr_0(A, B, k5_algstr_0(A, k3_rlvect_1(A, C, D), E))=k5_algstr_0(A, k3_rlvect_1(A, k6_algstr_0(A, B, C), k6_algstr_0(A, B, D)), k6_algstr_0(A, B, E)) &  (k6_algstr_0(A, B, k3_rlvect_1(A, k5_algstr_0(A, C, D), E))=k3_rlvect_1(A, k5_algstr_0(A, k6_algstr_0(A, B, C), k6_algstr_0(A, B, D)), k6_algstr_0(A, B, E)) &  (k6_algstr_0(A, B, k5_algstr_0(A, k5_algstr_0(A, C, D), E))=k5_algstr_0(A, k5_algstr_0(A, k6_algstr_0(A, B, C), k6_algstr_0(A, B, D)), k6_algstr_0(A, B, E)) &  (k6_algstr_0(A, B, k3_rlvect_1(A, k3_rlvect_1(A, k4_algstr_0(A, C), D), E))=k3_rlvect_1(A, k3_rlvect_1(A, k4_algstr_0(A, k6_algstr_0(A, B, C)), k6_algstr_0(A, B, D)), k6_algstr_0(A, B, E)) &  (k6_algstr_0(A, B, k5_algstr_0(A, k3_rlvect_1(A, k4_algstr_0(A, C), D), E))=k5_algstr_0(A, k3_rlvect_1(A, k4_algstr_0(A, k6_algstr_0(A, B, C)), k6_algstr_0(A, B, D)), k6_algstr_0(A, B, E)) &  (k6_algstr_0(A, B, k3_rlvect_1(A, k5_algstr_0(A, k4_algstr_0(A, C), D), E))=k3_rlvect_1(A, k5_algstr_0(A, k4_algstr_0(A, k6_algstr_0(A, B, C)), k6_algstr_0(A, B, D)), k6_algstr_0(A, B, E)) & k6_algstr_0(A, B, k5_algstr_0(A, k5_algstr_0(A, k4_algstr_0(A, C), D), E))=k5_algstr_0(A, k5_algstr_0(A, k4_algstr_0(A, k6_algstr_0(A, B, C)), k6_algstr_0(A, B, D)), k6_algstr_0(A, B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_ec_pf_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k8_group_1(A, k3_rlvect_1(A, B, C), k5_algstr_0(A, B, C))=k5_algstr_0(A, k2_binom(A, B, 2), k2_binom(A, C, 2))) ) ) ) ) ) ).
fof(t16_ec_pf_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k8_group_1(A, k3_rlvect_1(A, B, C), k3_rlvect_1(A, k5_algstr_0(A, k2_binom(A, B, 2), k8_group_1(A, B, C)), k2_binom(A, C, 2)))=k3_rlvect_1(A, k2_binom(A, B, 3), k2_binom(A, C, 3))) ) ) ) ) ) ).
fof(t17_ec_pf_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k8_group_1(A, k5_algstr_0(A, B, C), k3_rlvect_1(A, k3_rlvect_1(A, k2_binom(A, B, 2), k8_group_1(A, B, C)), k2_binom(A, C, 2)))=k5_algstr_0(A, k2_binom(A, B, 3), k2_binom(A, C, 3))) ) ) ) ) ) ).
fof(d1_ec_pf_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (v1_ec_pf_2(B, A) <=> r1_xxreal_0(A, B)) ) ) ) ) ).
fof(t18_ec_pf_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( (v7_ordinal1(C) & v1_int_2(C))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_int_3(C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_int_3(C))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k9_int_3(C))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k9_int_3(C))) =>  ( (D=k5_int_1(A, C) &  (E=k5_int_1(B, C) & F=k5_int_1(k2_xcmplx_0(A, B), C)) )  => k3_rlvect_1(k9_int_3(C), k8_group_1(k9_int_3(C), D, G), k8_group_1(k9_int_3(C), E, G))=k8_group_1(k9_int_3(C), F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_ec_pf_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( (v7_ordinal1(C) & v1_int_2(C))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_int_3(C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_int_3(C))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k9_int_3(C))) =>  ( (D=k5_int_1(A, C) &  (E=k5_int_1(B, C) & B=k2_xcmplx_0(A, 1)) )  => k3_rlvect_1(k9_int_3(C), k8_group_1(k9_int_3(C), D, F), F)=k8_group_1(k9_int_3(C), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (B=k5_int_1(2, A) => k3_rlvect_1(k9_int_3(A), C, C)=k8_group_1(k9_int_3(A), B, C)) ) ) ) ) ) ) ).
fof(t21_ec_pf_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( (v7_ordinal1(C) & v1_int_2(C))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_int_3(C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_int_3(C))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k9_int_3(C))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k9_int_3(C))) =>  ( (D=k5_int_1(A, C) &  (E=k5_int_1(B, C) & F=k5_int_1(k6_xcmplx_0(A, B), C)) )  => k5_algstr_0(k9_int_3(C), k8_group_1(k9_int_3(C), D, G), k8_group_1(k9_int_3(C), E, G))=k8_group_1(k9_int_3(C), F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_ec_pf_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( (v7_ordinal1(C) & v1_int_2(C))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_int_3(C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_int_3(C))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k9_int_3(C))) =>  ( (D=k5_int_1(A, C) &  (E=k5_int_1(B, C) & A=k2_xcmplx_0(B, 1)) )  => k5_algstr_0(k9_int_3(C), k8_group_1(k9_int_3(C), D, F), k8_group_1(k9_int_3(C), E, F))=F) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_ec_pf_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( (v7_ordinal1(C) & v1_int_2(C))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_int_3(C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_int_3(C))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k9_int_3(C))) =>  ( (D=k5_int_1(A, C) &  (E=k5_int_1(B, C) & A=k2_xcmplx_0(B, 1)) )  => k5_algstr_0(k9_int_3(C), k8_group_1(k9_int_3(C), D, F), F)=k8_group_1(k9_int_3(C), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (B=k5_int_1(2, A) => k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), B, C), C)=C) ) ) ) ) ) ) ).
fof(t25_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_int_3(A))) =>  (B=k5_int_1(2, A) => k2_binom(k9_int_3(A), k3_rlvect_1(k9_int_3(A), C, D), 2)=k3_rlvect_1(k9_int_3(A), k3_rlvect_1(k9_int_3(A), k2_binom(k9_int_3(A), C, 2), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), B, C), D)), k2_binom(k9_int_3(A), D, 2))) ) ) ) ) ) ) ) ) ).
fof(t26_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_int_3(A))) =>  (B=k5_int_1(2, A) => k2_binom(k9_int_3(A), k5_algstr_0(k9_int_3(A), C, D), 2)=k3_rlvect_1(k9_int_3(A), k5_algstr_0(k9_int_3(A), k2_binom(k9_int_3(A), C, 2), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), B, C), D)), k2_binom(k9_int_3(A), D, 2))) ) ) ) ) ) ) ) ) ).
fof(t27_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_int_3(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_int_3(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k9_int_3(A))) =>  (B=k5_int_1(2, A) => k2_binom(k9_int_3(A), k3_rlvect_1(k9_int_3(A), k8_group_1(k9_int_3(A), C, E), k8_group_1(k9_int_3(A), D, F)), 2)=k3_rlvect_1(k9_int_3(A), k3_rlvect_1(k9_int_3(A), k8_group_1(k9_int_3(A), k2_binom(k9_int_3(A), C, 2), k2_binom(k9_int_3(A), E, 2)), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), B, C), D), E), F)), k8_group_1(k9_int_3(A), k2_binom(k9_int_3(A), D, 2), k2_binom(k9_int_3(A), F, 2)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (C=k5_int_1(2, A) =>  (r1_xxreal_0(A, 2) |  ( ~ (C=k4_struct_0(k9_int_3(A)))  &  ~ (k2_binom(k9_int_3(A), C, B)=k4_struct_0(k9_int_3(A))) ) ) ) ) ) ) ) ) ) ).
fof(t29_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_int_3(A))) =>  (D=k5_int_1(3, A) =>  (r1_xxreal_0(A, 3) |  ( ~ (D=k4_struct_0(k9_int_3(A)))  &  ~ (k2_binom(k9_int_3(A), D, B)=k4_struct_0(k9_int_3(A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k1_ec_pf_2(A)) =>  ( ~ (r1_xxreal_0(A, 3))  &  ~ (k4_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))=k4_struct_0(k9_int_3(A))) ) ) ) ) ) ).
fof(d3_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (! [D] :  (m2_subset_1(D, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, B, C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_int_3(A))) =>  (E=k4_ec_pf_2(A, B, C, D) <=>  (! [F] :  (! [G] :  (! [H] :  (D=k3_xtuple_0(F, G, H) => E=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (! [D] :  (m2_subset_1(D, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, B, C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_int_3(A))) =>  (E=k5_ec_pf_2(A, B, C, D) <=>  (! [F] :  (! [G] :  (! [H] :  (D=k3_xtuple_0(F, G, H) => E=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (! [D] :  (m2_subset_1(D, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, B, C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_int_3(A))) =>  (E=k6_ec_pf_2(A, B, C, D) <=>  (! [F] :  (! [G] :  (! [H] :  (D=k3_xtuple_0(F, G, H) => E=H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (! [D] :  (m2_subset_1(D, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, B, C)) => D=k4_domain_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), k4_ec_pf_2(A, B, C, D), k5_ec_pf_2(A, B, C, D), k6_ec_pf_2(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t32_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (! [D] :  (m2_subset_1(D, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, B, C)) =>  (! [E] :  (m2_subset_1(E, k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k3_ec_pf_1(k9_int_3(A))) =>  (D=E <=>  (k4_ec_pf_2(A, B, C, D)=k1_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), E) &  (k5_ec_pf_2(A, B, C, D)=k2_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), E) & k6_ec_pf_2(A, B, C, D)=k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_int_3(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_int_3(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k9_int_3(A))) =>  (! [G] :  (m2_subset_1(G, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, B, C)) =>  (G=k4_domain_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), D, E, F) =>  (k4_ec_pf_2(A, B, C, G)=D &  (k5_ec_pf_2(A, B, C, G)=E & k6_ec_pf_2(A, B, C, G)=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m2_subset_1(B, k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k3_ec_pf_1(k9_int_3(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), u1_struct_0(k9_int_3(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), u1_struct_0(k9_int_3(A)))))) )  =>  (r1_ec_pf_2(A, B, C) <=> k3_funct_2(k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), u1_struct_0(k9_int_3(A)), C, B)=k4_struct_0(k9_int_3(A))) ) ) ) ) ) ) ).
fof(t34_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (! [D] :  (m2_subset_1(D, k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k3_ec_pf_1(k9_int_3(A))) =>  (r1_ec_pf_2(A, D, k5_ec_pf_1(A, B, C)) <=> m2_subset_1(D, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t35_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (! [D] :  (m2_subset_1(D, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, B, C)) => k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), k2_binom(k9_int_3(A), k5_ec_pf_2(A, B, C, D), 2), k6_ec_pf_2(A, B, C, D)), k3_rlvect_1(k9_int_3(A), k3_rlvect_1(k9_int_3(A), k2_binom(k9_int_3(A), k4_ec_pf_2(A, B, C, D), 3), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), B, k4_ec_pf_2(A, B, C, D)), k2_binom(k9_int_3(A), k6_ec_pf_2(A, B, C, D), 2))), k8_group_1(k9_int_3(A), C, k2_binom(k9_int_3(A), k6_ec_pf_2(A, B, C, D), 3))))=k4_struct_0(k9_int_3(A))) ) ) ) ) ) ) ) ).
fof(d7_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m2_subset_1(B, k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k3_ec_pf_1(k9_int_3(A))) =>  ( ( ~ (k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), B)=k5_numbers)  => k7_ec_pf_2(A, B)=k4_domain_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), k4_ordinal1, k8_group_1(k9_int_3(A), k1_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), B), k9_algstr_0(k9_int_3(A), k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), B))), k8_group_1(k9_int_3(A), k2_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), B), k9_algstr_0(k9_int_3(A), k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), B))), 1))  &  (k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), B)=k5_numbers => k7_ec_pf_2(A, B)=k4_domain_1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k5_numbers, 1, k5_numbers)) ) ) ) ) ) ).
fof(t36_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k1_ec_pf_2(A)) =>  (! [C] :  (m2_subset_1(C, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  (r1_ec_pf_1(A, k7_ec_pf_2(A, C), C) & r2_hidden(k7_ec_pf_2(A, C), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B)))) ) ) ) ) ) ) ).
fof(t37_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (! [D] :  (m2_subset_1(D, k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k3_ec_pf_1(k9_int_3(A))) =>  (k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), k7_ec_pf_2(A, D))=k5_numbers =>  (k7_ec_pf_2(A, D)=k4_domain_1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k5_numbers, 1, k5_numbers) & k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), D)=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t38_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (! [D] :  (m2_subset_1(D, k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k3_ec_pf_1(k9_int_3(A))) =>  ( ~ (k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), k7_ec_pf_2(A, D))=k5_numbers)  =>  (k7_ec_pf_2(A, D)=k4_domain_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), k4_ordinal1, k8_group_1(k9_int_3(A), k1_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), D), k9_algstr_0(k9_int_3(A), k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), D))), k8_group_1(k9_int_3(A), k2_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), D), k9_algstr_0(k9_int_3(A), k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), D))), 1) &  ~ (k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), D)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k1_ec_pf_2(A)) =>  (! [C] :  (m2_subset_1(C, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  (! [D] :  (m2_subset_1(D, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  (r1_ec_pf_1(A, C, D) <=> k7_ec_pf_2(A, C)=k7_ec_pf_2(A, D)) ) ) ) ) ) ) ) ) ).
fof(d8_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k1_ec_pf_2(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B)))))) )  =>  (C=k8_ec_pf_2(A, B) <=>  (! [D] :  (m2_subset_1(D, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) => k3_funct_2(k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B)), C, D)=k4_domain_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), D), k4_algstr_0(k9_int_3(A), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), D)), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), D))) ) ) ) ) ) ) ) ) ).
fof(t40_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k1_ec_pf_2(A)) =>  (! [C] :  (m2_subset_1(C, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  (C=k4_domain_1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k5_numbers, 1, k5_numbers) => r1_ec_pf_1(A, k9_ec_pf_2(A, B, k8_ec_pf_2(A, B), C), C)) ) ) ) ) ) ) ).
fof(t41_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k1_ec_pf_2(A)) =>  (! [C] :  (m2_subset_1(C, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) => k9_ec_pf_2(A, B, k8_ec_pf_2(A, B), k9_ec_pf_2(A, B, k8_ec_pf_2(A, B), C))=C) ) ) ) ) ) ).
fof(t42_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k1_ec_pf_2(A)) =>  (! [C] :  (m2_subset_1(C, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  ( ~ (k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), C)=k5_numbers)  => k7_ec_pf_2(A, k9_ec_pf_2(A, B, k8_ec_pf_2(A, B), C))=k1_funct_1(k8_ec_pf_2(A, B), k7_ec_pf_2(A, C))) ) ) ) ) ) ) ).
fof(t43_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k1_ec_pf_2(A)) =>  (! [C] :  (m2_subset_1(C, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  (! [D] :  (m2_subset_1(D, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  (C=D <=> k9_ec_pf_2(A, B, k8_ec_pf_2(A, B), C)=k9_ec_pf_2(A, B, k8_ec_pf_2(A, B), D)) ) ) ) ) ) ) ) ) ).
fof(t44_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k1_ec_pf_2(A)) =>  (! [C] :  (m2_subset_1(C, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  ( ~ (k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), C)=k5_numbers)  =>  (r1_ec_pf_1(A, C, k9_ec_pf_2(A, B, k8_ec_pf_2(A, B), C)) <=> k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), C)=k5_numbers) ) ) ) ) ) ) ) ).
fof(t45_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k1_ec_pf_2(A)) =>  (! [C] :  (m2_subset_1(C, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  (! [D] :  (m2_subset_1(D, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  ( ~ (k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), C)=k5_numbers)  =>  ( (k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), C)=k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), D) & k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), C)=k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), D))  <=>  (C=D | C=k9_ec_pf_2(A, B, k8_ec_pf_2(A, B), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k1_ec_pf_2(A)) =>  (! [C] :  (m2_subset_1(C, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  (! [D] :  (m2_subset_1(D, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  (r1_ec_pf_1(A, C, D) <=> r1_ec_pf_1(A, k9_ec_pf_2(A, B, k8_ec_pf_2(A, B), C), k9_ec_pf_2(A, B, k8_ec_pf_2(A, B), D))) ) ) ) ) ) ) ) ) ).
fof(t47_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k1_ec_pf_2(A)) =>  (! [C] :  (m2_subset_1(C, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  (! [D] :  (m2_subset_1(D, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  (r1_ec_pf_1(A, C, k9_ec_pf_2(A, B, k8_ec_pf_2(A, B), D)) <=> r1_ec_pf_1(A, k9_ec_pf_2(A, B, k8_ec_pf_2(A, B), C), D)) ) ) ) ) ) ) ) ) ).
fof(t48_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k1_ec_pf_2(A)) =>  (! [C] :  (m2_subset_1(C, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  (! [D] :  (m2_subset_1(D, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  ~ ( ( ~ (k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), C)=k5_numbers)  &  ( ~ (k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), D)=k5_numbers)  &  ~ ( (k7_ec_pf_2(A, C)=k1_funct_1(k8_ec_pf_2(A, B), k7_ec_pf_2(A, D)) <=> r1_ec_pf_1(A, C, k9_ec_pf_2(A, B, k8_ec_pf_2(A, B), D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k1_ec_pf_2(A)) =>  (! [C] :  (m2_subset_1(C, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  (! [D] :  (m2_subset_1(D, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  (r1_ec_pf_1(A, C, D) => k8_group_1(k9_int_3(A), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), C), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), D))=k8_group_1(k9_int_3(A), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), D), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), C))) ) ) ) ) ) ) ) ) ).
fof(t50_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k1_ec_pf_2(A)) =>  (! [C] :  (m2_subset_1(C, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  (! [D] :  (m2_subset_1(D, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  ~ ( ( ~ (k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), C)=k5_numbers)  &  ( ~ (k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), D)=k5_numbers)  &  ~ ( ( (r1_ec_pf_1(A, C, D) | r1_ec_pf_1(A, C, k9_ec_pf_2(A, B, k8_ec_pf_2(A, B), D)))  <=> k8_group_1(k9_int_3(A), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), C), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), D))=k8_group_1(k9_int_3(A), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), D), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k1_ec_pf_2(A)) =>  (! [C] :  (m2_subset_1(C, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  (! [D] :  (m2_subset_1(D, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  ~ ( ( ~ (k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), C)=k5_numbers)  &  ( ~ (k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), D)=k5_numbers)  &  ( ~ (k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), C)=k5_numbers)  &  (r1_ec_pf_1(A, C, k9_ec_pf_2(A, B, k8_ec_pf_2(A, B), D)) & k8_group_1(k9_int_3(A), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), C), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), D))=k8_group_1(k9_int_3(A), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), D), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k1_ec_pf_2(A)) =>  (! [C] :  (m2_subset_1(C, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  (! [D] :  (m2_subset_1(D, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  ~ ( ( ~ (r1_ec_pf_1(A, C, D))  &  (r1_ec_pf_1(A, C, k9_ec_pf_2(A, B, k8_ec_pf_2(A, B), D)) & k8_group_1(k9_int_3(A), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), C), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), D))=k8_group_1(k9_int_3(A), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), D), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k1_ec_pf_2(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (! [D] :  (m2_subset_1(D, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  ~ ( (C=k5_int_1(3, A) &  (k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), D)=k5_numbers &  ( ~ (k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), D)=k5_numbers)  & k3_rlvect_1(k9_int_3(A), k8_group_1(k9_int_3(A), k2_ec_pf_2(A, B), k2_binom(k9_int_3(A), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), D), 2)), k8_group_1(k9_int_3(A), C, k2_binom(k9_int_3(A), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), D), 2)))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k1_ec_pf_2(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_int_3(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_int_3(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k9_int_3(A))) =>  (! [G] :  (m2_subset_1(G, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  (! [H] :  (m2_subset_1(H, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  (! [I] :  (m1_subset_1(I, k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)))) =>  ( (C=k5_int_1(2, A) &  (D=k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k8_group_1(k9_int_3(A), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H))) &  (E=k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k8_group_1(k9_int_3(A), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H))) &  (F=k5_algstr_0(k9_int_3(A), k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k2_binom(k9_int_3(A), D, 2), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H)), k2_binom(k9_int_3(A), E, 3)), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), C, k2_binom(k9_int_3(A), E, 2)), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H))) & I=k4_domain_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), k8_group_1(k9_int_3(A), E, F), k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), D, k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k2_binom(k9_int_3(A), E, 2), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H)), F)), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k2_binom(k9_int_3(A), E, 3), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H))), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k2_binom(k9_int_3(A), E, 3), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H)))) ) ) )  => k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), E, k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k2_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), I))=k4_algstr_0(k9_int_3(A), k3_rlvect_1(k9_int_3(A), k8_group_1(k9_int_3(A), D, k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), k1_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), I), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k8_group_1(k9_int_3(A), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G), k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), I)))), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), E, k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), I))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k1_ec_pf_2(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_int_3(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_int_3(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k9_int_3(A))) =>  (! [G] :  (m2_subset_1(G, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  (! [H] :  (m2_subset_1(H, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  (! [I] :  (m1_subset_1(I, k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)))) =>  ( (C=k5_int_1(2, A) &  (D=k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k8_group_1(k9_int_3(A), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H))) &  (E=k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k8_group_1(k9_int_3(A), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H))) &  (F=k5_algstr_0(k9_int_3(A), k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k2_binom(k9_int_3(A), D, 2), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H)), k2_binom(k9_int_3(A), E, 3)), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), C, k2_binom(k9_int_3(A), E, 2)), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H))) & I=k4_domain_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), k8_group_1(k9_int_3(A), E, F), k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), D, k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k2_binom(k9_int_3(A), E, 2), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H)), F)), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k2_binom(k9_int_3(A), E, 3), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H))), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k2_binom(k9_int_3(A), E, 3), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H)))) ) ) )  => k3_rlvect_1(k9_int_3(A), k4_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), k2_binom(k9_int_3(A), E, 2), k3_rlvect_1(k9_int_3(A), k3_rlvect_1(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H)), k1_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), I)), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H)), k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), I))), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H)), k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), I))))), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H)), k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), I)), k2_binom(k9_int_3(A), D, 2)))=k4_struct_0(k9_int_3(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k1_ec_pf_2(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_int_3(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_int_3(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k9_int_3(A))) =>  (! [G] :  (m2_subset_1(G, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  (! [H] :  (m2_subset_1(H, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  (! [I] :  (m1_subset_1(I, k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)))) =>  ( (C=k5_int_1(2, A) &  (D=k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k8_group_1(k9_int_3(A), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H))) &  (E=k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k8_group_1(k9_int_3(A), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H))) &  (F=k5_algstr_0(k9_int_3(A), k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k2_binom(k9_int_3(A), D, 2), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H)), k2_binom(k9_int_3(A), E, 3)), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), C, k2_binom(k9_int_3(A), E, 2)), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H))) & I=k4_domain_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), k8_group_1(k9_int_3(A), E, F), k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), D, k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k2_binom(k9_int_3(A), E, 2), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H)), F)), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k2_binom(k9_int_3(A), E, 3), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H))), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k2_binom(k9_int_3(A), E, 3), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H)))) ) ) )  => k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k3_ec_pf_2(A, B), k2_binom(k9_int_3(A), E, 2)), k2_binom(k9_int_3(A), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G), 2)), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H)), k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), I))=k3_rlvect_1(k9_int_3(A), k4_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k2_binom(k9_int_3(A), E, 2), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H)), k1_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), I))), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k2_binom(k9_int_3(A), k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), E, k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k8_group_1(k9_int_3(A), D, k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G))), 2), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H)), k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), I)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k1_ec_pf_2(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_int_3(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_int_3(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k9_int_3(A))) =>  (! [G] :  (m2_subset_1(G, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  (! [H] :  (m2_subset_1(H, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  (! [I] :  (m1_subset_1(I, k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)))) =>  ( (C=k5_int_1(2, A) &  (D=k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k8_group_1(k9_int_3(A), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H))) &  (E=k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k8_group_1(k9_int_3(A), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H))) &  (F=k5_algstr_0(k9_int_3(A), k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k2_binom(k9_int_3(A), D, 2), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H)), k2_binom(k9_int_3(A), E, 3)), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), C, k2_binom(k9_int_3(A), E, 2)), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H))) & I=k4_domain_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), k8_group_1(k9_int_3(A), E, F), k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), D, k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k2_binom(k9_int_3(A), E, 2), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H)), F)), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k2_binom(k9_int_3(A), E, 3), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H))), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k2_binom(k9_int_3(A), E, 3), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H)))) ) ) )  => k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k2_ec_pf_2(A, B), k2_binom(k9_int_3(A), E, 2)), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H)), k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), I))=k3_rlvect_1(k9_int_3(A), k8_group_1(k9_int_3(A), k2_binom(k9_int_3(A), E, 2), k3_rlvect_1(k9_int_3(A), k3_rlvect_1(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H)), k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), I)), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H)), k1_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), I))), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H)), k1_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), I)))), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), C, D), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H)), k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), I)), k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), E, k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k8_group_1(k9_int_3(A), D, k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k1_ec_pf_2(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_int_3(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_int_3(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k9_int_3(A))) =>  (! [G] :  (m2_subset_1(G, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  (! [H] :  (m2_subset_1(H, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  (! [I] :  (m1_subset_1(I, k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)))) =>  ( (C=k5_int_1(2, A) &  (D=k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k8_group_1(k9_int_3(A), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H))) &  (E=k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k8_group_1(k9_int_3(A), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H))) &  (F=k5_algstr_0(k9_int_3(A), k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k2_binom(k9_int_3(A), D, 2), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H)), k2_binom(k9_int_3(A), E, 3)), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), C, k2_binom(k9_int_3(A), E, 2)), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H))) & I=k4_domain_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), k8_group_1(k9_int_3(A), E, F), k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), D, k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k2_binom(k9_int_3(A), E, 2), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H)), F)), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k2_binom(k9_int_3(A), E, 3), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H))), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k2_binom(k9_int_3(A), E, 3), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G)), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H)))) ) ) )  => k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k2_binom(k9_int_3(A), E, 2), k2_binom(k9_int_3(A), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), G), 2)), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), H)), k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), k2_binom(k9_int_3(A), k2_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), I), 2), k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), I)), k3_rlvect_1(k9_int_3(A), k3_rlvect_1(k9_int_3(A), k2_binom(k9_int_3(A), k1_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), I), 3), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k2_ec_pf_2(A, B), k1_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), I)), k2_binom(k9_int_3(A), k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), I), 2))), k8_group_1(k9_int_3(A), k3_ec_pf_2(A, B), k2_binom(k9_int_3(A), k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), I), 3)))))=k4_struct_0(k9_int_3(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k1_ec_pf_2(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_int_3(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_int_3(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k9_int_3(A))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k9_int_3(A))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k9_int_3(A))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k9_int_3(A))) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(k9_int_3(A))) =>  (! [K] :  (m2_subset_1(K, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  (! [L] :  (m1_subset_1(L, k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)))) =>  ( (C=k5_int_1(2, A) &  (D=k5_int_1(3, A) &  (E=k5_int_1(4, A) &  (F=k5_int_1(8, A) &  (G=k3_rlvect_1(k9_int_3(A), k8_group_1(k9_int_3(A), k2_ec_pf_2(A, B), k2_binom(k9_int_3(A), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K), 2)), k8_group_1(k9_int_3(A), D, k2_binom(k9_int_3(A), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K), 2))) &  (H=k8_group_1(k9_int_3(A), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K)) &  (I=k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K)), H) &  (J=k5_algstr_0(k9_int_3(A), k2_binom(k9_int_3(A), G, 2), k8_group_1(k9_int_3(A), F, I)) & L=k4_domain_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), C, J), H), k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), G, k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), E, I), J)), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), F, k2_binom(k9_int_3(A), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K), 2)), k2_binom(k9_int_3(A), H, 2))), k8_group_1(k9_int_3(A), F, k2_binom(k9_int_3(A), H, 3)))) ) ) ) ) ) ) )  => k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), C, H), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K)), k2_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), L))=k4_algstr_0(k9_int_3(A), k3_rlvect_1(k9_int_3(A), k8_group_1(k9_int_3(A), G, k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K), k1_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), L)), k8_group_1(k9_int_3(A), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K), k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), L)))), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), C, H), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K)), k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), L))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k1_ec_pf_2(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_int_3(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_int_3(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k9_int_3(A))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k9_int_3(A))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k9_int_3(A))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k9_int_3(A))) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(k9_int_3(A))) =>  (! [K] :  (m2_subset_1(K, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  (! [L] :  (m1_subset_1(L, k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)))) =>  ( (C=k5_int_1(2, A) &  (D=k5_int_1(3, A) &  (E=k5_int_1(4, A) &  (F=k5_int_1(8, A) &  (G=k3_rlvect_1(k9_int_3(A), k8_group_1(k9_int_3(A), k2_ec_pf_2(A, B), k2_binom(k9_int_3(A), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K), 2)), k8_group_1(k9_int_3(A), D, k2_binom(k9_int_3(A), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K), 2))) &  (H=k8_group_1(k9_int_3(A), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K)) &  (I=k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K)), H) &  (J=k5_algstr_0(k9_int_3(A), k2_binom(k9_int_3(A), G, 2), k8_group_1(k9_int_3(A), F, I)) & L=k4_domain_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), C, J), H), k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), G, k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), E, I), J)), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), F, k2_binom(k9_int_3(A), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K), 2)), k2_binom(k9_int_3(A), H, 2))), k8_group_1(k9_int_3(A), F, k2_binom(k9_int_3(A), H, 3)))) ) ) ) ) ) ) )  => k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), E, k2_binom(k9_int_3(A), H, 2)), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K)), k1_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), L))=k8_group_1(k9_int_3(A), k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), L), k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), k2_binom(k9_int_3(A), G, 2), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K)), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), F, k2_binom(k9_int_3(A), H, 2)), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k1_ec_pf_2(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_int_3(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_int_3(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k9_int_3(A))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k9_int_3(A))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k9_int_3(A))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k9_int_3(A))) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(k9_int_3(A))) =>  (! [K] :  (m2_subset_1(K, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  (! [L] :  (m1_subset_1(L, k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)))) =>  ( (C=k5_int_1(2, A) &  (D=k5_int_1(3, A) &  (E=k5_int_1(4, A) &  (F=k5_int_1(8, A) &  (G=k3_rlvect_1(k9_int_3(A), k8_group_1(k9_int_3(A), k2_ec_pf_2(A, B), k2_binom(k9_int_3(A), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K), 2)), k8_group_1(k9_int_3(A), D, k2_binom(k9_int_3(A), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K), 2))) &  (H=k8_group_1(k9_int_3(A), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K)) &  (I=k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K)), H) &  (J=k5_algstr_0(k9_int_3(A), k2_binom(k9_int_3(A), G, 2), k8_group_1(k9_int_3(A), F, I)) & L=k4_domain_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), C, J), H), k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), G, k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), E, I), J)), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), F, k2_binom(k9_int_3(A), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K), 2)), k2_binom(k9_int_3(A), H, 2))), k8_group_1(k9_int_3(A), F, k2_binom(k9_int_3(A), H, 3)))) ) ) ) ) ) ) )  => k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), E, k2_binom(k9_int_3(A), H, 2)), k2_binom(k9_int_3(A), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K), 2)), k8_group_1(k9_int_3(A), k3_ec_pf_2(A, B), k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), L)))=k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), L), k2_binom(k9_int_3(A), k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), C, H), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K)), k8_group_1(k9_int_3(A), G, k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K))), 2)), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), E, k2_binom(k9_int_3(A), H, 2)), k2_binom(k9_int_3(A), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K), 2)), k1_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), L)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k1_ec_pf_2(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_int_3(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_int_3(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k9_int_3(A))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k9_int_3(A))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k9_int_3(A))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k9_int_3(A))) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(k9_int_3(A))) =>  (! [K] :  (m2_subset_1(K, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  (! [L] :  (m1_subset_1(L, k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)))) =>  ( (C=k5_int_1(2, A) &  (D=k5_int_1(3, A) &  (E=k5_int_1(4, A) &  (F=k5_int_1(8, A) &  (G=k3_rlvect_1(k9_int_3(A), k8_group_1(k9_int_3(A), k2_ec_pf_2(A, B), k2_binom(k9_int_3(A), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K), 2)), k8_group_1(k9_int_3(A), D, k2_binom(k9_int_3(A), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K), 2))) &  (H=k8_group_1(k9_int_3(A), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K)) &  (I=k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K)), H) &  (J=k5_algstr_0(k9_int_3(A), k2_binom(k9_int_3(A), G, 2), k8_group_1(k9_int_3(A), F, I)) & L=k4_domain_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), C, J), H), k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), G, k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), E, I), J)), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), F, k2_binom(k9_int_3(A), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K), 2)), k2_binom(k9_int_3(A), H, 2))), k8_group_1(k9_int_3(A), F, k2_binom(k9_int_3(A), H, 3)))) ) ) ) ) ) ) )  => k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), C, k2_binom(k9_int_3(A), H, 2)), k2_binom(k9_int_3(A), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K), 2)), k8_group_1(k9_int_3(A), k2_ec_pf_2(A, B), k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), L)))=k3_rlvect_1(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), G, k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K)), k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), L)), k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), C, H), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K)), k8_group_1(k9_int_3(A), G, k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K)))), k8_group_1(k9_int_3(A), k2_binom(k9_int_3(A), H, 2), k3_rlvect_1(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), E, k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K)), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K)), k1_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), L)), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), C, k2_binom(k9_int_3(A), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K), 2)), k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), L)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k1_ec_pf_2(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_int_3(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_int_3(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k9_int_3(A))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k9_int_3(A))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k9_int_3(A))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k9_int_3(A))) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(k9_int_3(A))) =>  (! [K] :  (m2_subset_1(K, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  (! [L] :  (m1_subset_1(L, k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)))) =>  ( (C=k5_int_1(2, A) &  (D=k5_int_1(3, A) &  (E=k5_int_1(4, A) &  (F=k5_int_1(8, A) &  (G=k3_rlvect_1(k9_int_3(A), k8_group_1(k9_int_3(A), k2_ec_pf_2(A, B), k2_binom(k9_int_3(A), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K), 2)), k8_group_1(k9_int_3(A), D, k2_binom(k9_int_3(A), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K), 2))) &  (H=k8_group_1(k9_int_3(A), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K)) &  (I=k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K)), H) &  (J=k5_algstr_0(k9_int_3(A), k2_binom(k9_int_3(A), G, 2), k8_group_1(k9_int_3(A), F, I)) & L=k4_domain_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), C, J), H), k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), G, k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), E, I), J)), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), F, k2_binom(k9_int_3(A), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K), 2)), k2_binom(k9_int_3(A), H, 2))), k8_group_1(k9_int_3(A), F, k2_binom(k9_int_3(A), H, 3)))) ) ) ) ) ) ) )  => k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), E, k2_binom(k9_int_3(A), H, 2)), k2_binom(k9_int_3(A), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), K), 2)), k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), k2_binom(k9_int_3(A), k2_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), L), 2), k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), L)), k3_rlvect_1(k9_int_3(A), k3_rlvect_1(k9_int_3(A), k2_binom(k9_int_3(A), k1_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), L), 3), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k2_ec_pf_2(A, B), k1_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), L)), k2_binom(k9_int_3(A), k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), L), 2))), k8_group_1(k9_int_3(A), k3_ec_pf_2(A, B), k2_binom(k9_int_3(A), k3_mcart_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), L), 3)))))=k4_struct_0(k9_int_3(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k1_ec_pf_2(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k8_mcart_1(k3_ec_pf_1(k9_int_3(A)), k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k8_mcart_1(k3_ec_pf_1(k9_int_3(A)), k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B)))))) )  =>  (C=k10_ec_pf_2(A, B) <=>  (! [D] :  (m2_subset_1(D, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  (! [E] :  (m2_subset_1(E, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  (! [F] :  (m2_subset_1(F, k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) =>  (F=k4_domain_1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k5_numbers, 1, k5_numbers) =>  ( (r1_ec_pf_1(A, D, F) => k4_binop_1(k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B)), C, D, E)=E)  &  ( (r1_ec_pf_1(A, E, F) =>  (r1_ec_pf_1(A, D, F) | k4_binop_1(k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B)), C, D, E)=D) )  &  ( ~ ( ( ~ (r1_ec_pf_1(A, D, F))  &  ( ~ (r1_ec_pf_1(A, E, F))  &  ( ~ (r1_ec_pf_1(A, D, E))  &  (? [G] :  (m1_subset_1(G, u1_struct_0(k9_int_3(A))) &  (? [H] :  (m1_subset_1(H, u1_struct_0(k9_int_3(A))) &  (? [I] :  (m1_subset_1(I, u1_struct_0(k9_int_3(A))) &  (? [J] :  (m1_subset_1(J, u1_struct_0(k9_int_3(A))) &  (G=k5_int_1(2, A) &  (H=k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), E), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), D)), k8_group_1(k9_int_3(A), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), D), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), E))) &  (I=k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), E), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), D)), k8_group_1(k9_int_3(A), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), D), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), E))) &  (J=k5_algstr_0(k9_int_3(A), k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k2_binom(k9_int_3(A), H, 2), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), D)), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), E)), k2_binom(k9_int_3(A), I, 3)), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), G, k2_binom(k9_int_3(A), I, 2)), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), D)), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), E))) &  ~ (k4_binop_1(k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B)), C, D, E)=k4_domain_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), k8_group_1(k9_int_3(A), I, J), k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), H, k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k2_binom(k9_int_3(A), I, 2), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), D)), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), E)), J)), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k2_binom(k9_int_3(A), I, 3), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), D)), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), E))), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k2_binom(k9_int_3(A), I, 3), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), D)), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (r1_ec_pf_1(A, D, E) =>  (r1_ec_pf_1(A, D, F) |  (r1_ec_pf_1(A, E, F) |  (! [G] :  (m1_subset_1(G, u1_struct_0(k9_int_3(A))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k9_int_3(A))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k9_int_3(A))) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(k9_int_3(A))) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(k9_int_3(A))) =>  (! [L] :  (m1_subset_1(L, u1_struct_0(k9_int_3(A))) =>  (! [M] :  (m1_subset_1(M, u1_struct_0(k9_int_3(A))) =>  (! [N] :  (m1_subset_1(N, u1_struct_0(k9_int_3(A))) =>  ( (G=k5_int_1(2, A) &  (H=k5_int_1(3, A) &  (I=k5_int_1(4, A) &  (J=k5_int_1(8, A) &  (K=k3_rlvect_1(k9_int_3(A), k8_group_1(k9_int_3(A), k2_ec_pf_2(A, B), k2_binom(k9_int_3(A), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), D), 2)), k8_group_1(k9_int_3(A), H, k2_binom(k9_int_3(A), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), D), 2))) &  (L=k8_group_1(k9_int_3(A), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), D), k6_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), D)) &  (M=k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), k4_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), D), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), D)), L) & N=k5_algstr_0(k9_int_3(A), k2_binom(k9_int_3(A), K, 2), k8_group_1(k9_int_3(A), J, M))) ) ) ) ) ) )  => k4_binop_1(k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B)), C, D, E)=k4_domain_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), G, N), L), k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), K, k5_algstr_0(k9_int_3(A), k8_group_1(k9_int_3(A), I, M), N)), k8_group_1(k9_int_3(A), k8_group_1(k9_int_3(A), J, k2_binom(k9_int_3(A), k5_ec_pf_2(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B), D), 2)), k2_binom(k9_int_3(A), L, 2))), k8_group_1(k9_int_3(A), J, k2_binom(k9_int_3(A), L, 3)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  => m1_subset_1(k1_ec_pf_2(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)))))) ) ).
fof(dt_k2_ec_pf_2, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  & m1_subset_1(B, k1_ec_pf_2(A)))  => m1_subset_1(k2_ec_pf_2(A, B), u1_struct_0(k9_int_3(A)))) ) ).
fof(redefinition_k2_ec_pf_2, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  & m1_subset_1(B, k1_ec_pf_2(A)))  => k2_ec_pf_2(A, B)=k1_xtuple_0(B)) ) ).
fof(dt_k3_ec_pf_2, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  & m1_subset_1(B, k1_ec_pf_2(A)))  => m1_subset_1(k3_ec_pf_2(A, B), u1_struct_0(k9_int_3(A)))) ) ).
fof(redefinition_k3_ec_pf_2, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  & m1_subset_1(B, k1_ec_pf_2(A)))  => k3_ec_pf_2(A, B)=k2_xtuple_0(B)) ) ).
fof(dt_k4_ec_pf_2, axiom,  (! [A, B, C, D] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  &  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) &  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) & m1_subset_1(D, k6_ec_pf_1(A, B, C))) ) )  => m1_subset_1(k4_ec_pf_2(A, B, C, D), u1_struct_0(k9_int_3(A)))) ) ).
fof(dt_k5_ec_pf_2, axiom,  (! [A, B, C, D] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  &  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) &  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) & m1_subset_1(D, k6_ec_pf_1(A, B, C))) ) )  => m1_subset_1(k5_ec_pf_2(A, B, C, D), u1_struct_0(k9_int_3(A)))) ) ).
fof(dt_k6_ec_pf_2, axiom,  (! [A, B, C, D] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  &  (m1_subset_1(B, u1_struct_0(k9_int_3(A))) &  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) & m1_subset_1(D, k6_ec_pf_1(A, B, C))) ) )  => m1_subset_1(k6_ec_pf_2(A, B, C, D), u1_struct_0(k9_int_3(A)))) ) ).
fof(dt_k7_ec_pf_2, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  & m1_subset_1(B, k3_ec_pf_1(k9_int_3(A))))  => m2_subset_1(k7_ec_pf_2(A, B), k3_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))), k3_ec_pf_1(k9_int_3(A)))) ) ).
fof(dt_k8_ec_pf_2, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  & m1_subset_1(B, k1_ec_pf_2(A)))  =>  (v1_funct_1(k8_ec_pf_2(A, B)) &  (v1_funct_2(k8_ec_pf_2(A, B), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) & m1_subset_1(k8_ec_pf_2(A, B), k1_zfmisc_1(k2_zfmisc_1(k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B)))))) ) ) ) ).
fof(dt_k9_ec_pf_2, axiom,  (! [A, B, C, D] :  ( ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  &  (m1_subset_1(B, k1_ec_pf_2(A)) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B)))))) )  & m1_subset_1(D, k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B)))) ) )  => m2_subset_1(k9_ec_pf_2(A, B, C, D), k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B)))) ) ).
fof(redefinition_k9_ec_pf_2, axiom,  (! [A, B, C, D] :  ( ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  &  (m1_subset_1(B, k1_ec_pf_2(A)) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B)))))) )  & m1_subset_1(D, k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B)))) ) )  => k9_ec_pf_2(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(dt_k10_ec_pf_2, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  & m1_subset_1(B, k1_ec_pf_2(A)))  =>  (v1_funct_1(k10_ec_pf_2(A, B)) &  (v1_funct_2(k10_ec_pf_2(A, B), k8_mcart_1(k3_ec_pf_1(k9_int_3(A)), k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) & m1_subset_1(k10_ec_pf_2(A, B), k1_zfmisc_1(k2_zfmisc_1(k8_mcart_1(k3_ec_pf_1(k9_int_3(A)), k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B)))))) ) ) ) ).
fof(dt_k11_ec_pf_2, axiom,  (! [A, B, C, D, E] :  ( ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  &  (m1_subset_1(B, k1_ec_pf_2(A)) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k8_mcart_1(k3_ec_pf_1(k9_int_3(A)), k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k8_mcart_1(k3_ec_pf_1(k9_int_3(A)), k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B)))))) )  &  (m1_subset_1(D, k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) & m1_subset_1(E, k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B)))) ) ) )  => m2_subset_1(k11_ec_pf_2(A, B, C, D, E), k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B)))) ) ).
fof(redefinition_k11_ec_pf_2, axiom,  (! [A, B, C, D, E] :  ( ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  &  (m1_subset_1(B, k1_ec_pf_2(A)) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k8_mcart_1(k3_ec_pf_1(k9_int_3(A)), k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k8_mcart_1(k3_ec_pf_1(k9_int_3(A)), k3_ec_pf_1(k9_int_3(A)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B)), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))), k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B)))))) )  &  (m1_subset_1(D, k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B))) & m1_subset_1(E, k6_ec_pf_1(A, k2_ec_pf_2(A, B), k3_ec_pf_2(A, B)))) ) ) )  => k11_ec_pf_2(A, B, C, D, E)=k1_binop_1(C, D, E)) ) ).
fof(d2_ec_pf_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_ec_pf_2(A, 5)) )  => k1_ec_pf_2(A)=a_1_0_ec_pf_2(A)) ) ).
fof(fraenkel_a_1_0_ec_pf_2, axiom,  (! [A, B] :  ( (v7_ordinal1(B) &  (v1_int_2(B) & v1_ec_pf_2(B, 5)) )  =>  (r2_hidden(A, a_1_0_ec_pf_2(B)) <=>  (? [C, D] :  ( (m1_subset_1(C, u1_struct_0(k9_int_3(B))) & m1_subset_1(D, u1_struct_0(k9_int_3(B))))  &  (A=k1_domain_1(u1_struct_0(k9_int_3(B)), u1_struct_0(k9_int_3(B)), C, D) &  ~ (k4_ec_pf_1(B, C, D)=k4_struct_0(k9_int_3(B))) ) ) ) ) ) ) ).
fof(fc1_endalg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  ( ~ (v2_struct_0(k3_endalg(A)))  & v22_algstr_0(k3_endalg(A))) ) ) ).
fof(fc2_endalg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (v22_algstr_0(k3_endalg(A)) &  (v4_vectsp_1(k3_endalg(A)) & v3_group_1(k3_endalg(A))) ) ) ) ).
fof(fc3_endalg, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  ( ~ (v2_struct_0(k6_endalg(A, B)))  & v22_algstr_0(k6_endalg(A, B))) ) ) ).
fof(fc4_endalg, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  (v22_algstr_0(k6_endalg(A, B)) &  (v4_vectsp_1(k6_endalg(A, B)) & v3_group_1(k6_endalg(A, B))) ) ) ) ).
fof(rc1_endalg, axiom,  (? [A] :  (l4_algstr_0(A) &  ( ~ (v2_struct_0(A))  & v6_vectsp_1(A)) ) ) ).
fof(rc2_endalg, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) & l4_algstr_0(A)) )  &  ( ~ (v2_struct_0(B))  &  (v4_vectsp_1(B) & l4_algstr_0(B)) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v1_partfun1(C, u1_struct_0(A)) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v6_group_1(C, A, B) & v1_group_6(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_endalg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) =>  (B=k1_endalg(A) <=>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (r2_tarski(C, B) <=> r1_alg_1(A, A, C)) ) ) ) ) ) ) ) ).
fof(t1_endalg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  => r1_tarski(k1_endalg(A), k9_funct_2(u1_struct_0(A), u1_struct_0(A)))) ) ).
fof(t2_endalg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  => r2_tarski(k6_partfun1(u1_struct_0(A)), k1_endalg(A))) ) ).
fof(t3_endalg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m2_funct_2(B, u1_struct_0(A), u1_struct_0(A), k1_endalg(A)) =>  (! [C] :  (m2_funct_2(C, u1_struct_0(A), u1_struct_0(A), k1_endalg(A)) => r2_tarski(k1_partfun1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), C, B), k1_endalg(A))) ) ) ) ) ) ).
fof(d2_endalg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k1_endalg(A), k1_endalg(A)), k1_endalg(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_endalg(A), k1_endalg(A)), k1_endalg(A))))) )  =>  (B=k2_endalg(A) <=>  (! [C] :  (m2_funct_2(C, u1_struct_0(A), u1_struct_0(A), k1_endalg(A)) =>  (! [D] :  (m2_funct_2(D, u1_struct_0(A), u1_struct_0(A), k1_endalg(A)) => k4_binop_1(k1_endalg(A), B, C, D)=k1_partfun1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), C, D)) ) ) ) ) ) ) ) ) ).
fof(d3_endalg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( (v22_algstr_0(B) & l4_algstr_0(B))  =>  (B=k3_endalg(A) <=>  (u1_struct_0(B)=k1_endalg(A) &  (u2_algstr_0(B)=k2_endalg(A) & k5_struct_0(B)=k6_partfun1(u1_struct_0(A))) ) ) ) ) ) ) ).
fof(t4_endalg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_endalg(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_endalg(A))) =>  (! [D] :  (m2_funct_2(D, u1_struct_0(A), u1_struct_0(A), k1_endalg(A)) =>  (! [E] :  (m2_funct_2(E, u1_struct_0(A), u1_struct_0(A), k1_endalg(A)) =>  ( (B=D & C=E)  => k6_algstr_0(k3_endalg(A), B, C)=k1_partfun1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_endalg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  => k6_partfun1(u1_struct_0(A))=k1_group_1(k3_endalg(A))) ) ).
fof(d4_endalg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k4_autalg_1(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)))))  =>  (C=k4_endalg(A, B) <=>  ( (! [D] :  (m1_autalg_1(D, u1_struct_0(A), u3_msualg_1(A, B), C) => m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  &  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)) =>  (r2_tarski(D, C) <=> r1_msualg_3(A, B, B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_endalg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  => r1_tarski(k4_endalg(A, B), k4_autalg_1(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)))) ) ) ) ).
fof(t7_endalg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  => r2_tarski(k2_msualg_3(u1_struct_0(A), u3_msualg_1(A, B)), k4_endalg(A, B))) ) ) ) ).
fof(t8_endalg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_autalg_1(C, u1_struct_0(A), u3_msualg_1(A, B), k4_endalg(A, B)) =>  (! [D] :  (m1_autalg_1(D, u1_struct_0(A), u3_msualg_1(A, B), k4_endalg(A, B)) => r2_tarski(k3_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), u3_msualg_1(A, B), D, C), k4_endalg(A, B))) ) ) ) ) ) ) ) ).
fof(t9_endalg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m2_pboole(B, u1_struct_0(k6_msualg_1(A)), u3_msualg_1(k6_msualg_1(A), k9_msualg_1(A)), u3_msualg_1(k6_msualg_1(A), k9_msualg_1(A))) =>  (! [C] :  (m2_funct_2(C, u1_struct_0(A), u1_struct_0(A), k1_endalg(A)) =>  (B=k17_funcop_1(k5_numbers, C) => r2_tarski(B, k4_endalg(k6_msualg_1(A), k9_msualg_1(A)))) ) ) ) ) ) ) ).
fof(d5_endalg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k4_endalg(A, B), k4_endalg(A, B)), k4_endalg(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_endalg(A, B), k4_endalg(A, B)), k4_endalg(A, B))))) )  =>  (C=k5_endalg(A, B) <=>  (! [D] :  (m1_autalg_1(D, u1_struct_0(A), u3_msualg_1(A, B), k4_endalg(A, B)) =>  (! [E] :  (m1_autalg_1(E, u1_struct_0(A), u3_msualg_1(A, B), k4_endalg(A, B)) => k4_binop_1(k4_endalg(A, B), C, D, E)=k3_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), u3_msualg_1(A, B), D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_endalg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v22_algstr_0(C) & l4_algstr_0(C))  =>  (C=k6_endalg(A, B) <=>  (u1_struct_0(C)=k4_endalg(A, B) &  (u2_algstr_0(C)=k5_endalg(A, B) & k5_struct_0(C)=k2_msualg_3(u1_struct_0(A), u3_msualg_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(t10_endalg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k6_endalg(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k6_endalg(A, B))) =>  (! [E] :  (m1_autalg_1(E, u1_struct_0(A), u3_msualg_1(A, B), k4_endalg(A, B)) =>  (! [F] :  (m1_autalg_1(F, u1_struct_0(A), u3_msualg_1(A, B), k4_endalg(A, B)) =>  ( (C=E & D=F)  => k6_algstr_0(k6_endalg(A, B), C, D)=k3_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), u3_msualg_1(A, B), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_endalg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  => k2_msualg_3(u1_struct_0(A), u3_msualg_1(A, B))=k1_group_1(k6_endalg(A, B))) ) ) ) ).
fof(t12_endalg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m2_funct_2(B, u1_struct_0(A), u1_struct_0(A), k1_endalg(A)) => m2_pboole(k17_funcop_1(k5_numbers, B), u1_struct_0(k6_msualg_1(A)), u3_msualg_1(k6_msualg_1(A), k9_msualg_1(A)), u3_msualg_1(k6_msualg_1(A), k9_msualg_1(A)))) ) ) ) ).
fof(t13_endalg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) & l4_algstr_0(A)) )  =>  (v1_funct_1(k6_partfun1(u1_struct_0(A))) &  (v1_funct_2(k6_partfun1(u1_struct_0(A)), u1_struct_0(A), u1_struct_0(A)) &  (v6_group_1(k6_partfun1(u1_struct_0(A)), A, A) &  (v1_group_6(k6_partfun1(u1_struct_0(A)), A, A) & m1_subset_1(k6_partfun1(u1_struct_0(A)), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ) ) ).
fof(d7_endalg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) & l4_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v4_vectsp_1(B) & l4_algstr_0(B)) )  =>  (r1_endalg(A, B) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v6_group_1(C, A, B) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  & v3_funct_2(C, u1_struct_0(A), u1_struct_0(B))) ) ) ) ) ) ) ).
fof(t14_endalg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (k9_xtuple_0(B)=k1_endalg(A) &  (! [C] :  (r2_hidden(C, k1_endalg(A)) => k1_funct_1(B, C)=k17_funcop_1(k5_numbers, C)) ) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k3_endalg(A)), u1_struct_0(k6_endalg(k6_msualg_1(A), k9_msualg_1(A)))) &  (v6_group_1(B, k3_endalg(A), k6_endalg(k6_msualg_1(A), k9_msualg_1(A))) &  (v1_group_6(B, k3_endalg(A), k6_endalg(k6_msualg_1(A), k9_msualg_1(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_endalg(A)), u1_struct_0(k6_endalg(k6_msualg_1(A), k9_msualg_1(A))))))) ) ) ) ) ) ) ) ) ).
fof(t15_endalg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k3_endalg(A)), u1_struct_0(k6_endalg(k6_msualg_1(A), k9_msualg_1(A)))) &  (v6_group_1(B, k3_endalg(A), k6_endalg(k6_msualg_1(A), k9_msualg_1(A))) &  (v1_group_6(B, k3_endalg(A), k6_endalg(k6_msualg_1(A), k9_msualg_1(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_endalg(A)), u1_struct_0(k6_endalg(k6_msualg_1(A), k9_msualg_1(A))))))) ) ) )  =>  ( (! [C] :  (r2_hidden(C, k1_endalg(A)) => k1_funct_1(B, C)=k17_funcop_1(k5_numbers, C)) )  => v3_funct_2(B, u1_struct_0(k3_endalg(A)), u1_struct_0(k6_endalg(k6_msualg_1(A), k9_msualg_1(A))))) ) ) ) ) ).
fof(t16_endalg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  => r1_endalg(k3_endalg(A), k6_endalg(k6_msualg_1(A), k9_msualg_1(A)))) ) ).
fof(dt_k1_endalg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  => m1_funct_2(k1_endalg(A), u1_struct_0(A), u1_struct_0(A))) ) ).
fof(dt_k2_endalg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (v1_funct_1(k2_endalg(A)) &  (v1_funct_2(k2_endalg(A), k2_zfmisc_1(k1_endalg(A), k1_endalg(A)), k1_endalg(A)) & m1_subset_1(k2_endalg(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_endalg(A), k1_endalg(A)), k1_endalg(A))))) ) ) ) ).
fof(dt_k3_endalg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (v22_algstr_0(k3_endalg(A)) & l4_algstr_0(k3_endalg(A))) ) ) ).
fof(dt_k4_endalg, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  ( ~ (v1_xboole_0(k4_endalg(A, B)))  & m1_subset_1(k4_endalg(A, B), k1_zfmisc_1(k4_autalg_1(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))))) ) ) ).
fof(dt_k5_endalg, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  (v1_funct_1(k5_endalg(A, B)) &  (v1_funct_2(k5_endalg(A, B), k2_zfmisc_1(k4_endalg(A, B), k4_endalg(A, B)), k4_endalg(A, B)) & m1_subset_1(k5_endalg(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_endalg(A, B), k4_endalg(A, B)), k4_endalg(A, B))))) ) ) ) ).
fof(dt_k6_endalg, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  (v22_algstr_0(k6_endalg(A, B)) & l4_algstr_0(k6_endalg(A, B))) ) ) ).
fof(reflexivity_r1_endalg, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) & l4_algstr_0(A)) )  &  ( ~ (v2_struct_0(B))  &  (v4_vectsp_1(B) & l4_algstr_0(B)) ) )  => r1_endalg(A, A)) ) ).
fof(fc1_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v4_funct_1(k1_ens_1(A)) &  ~ (v1_xboole_0(k1_ens_1(A))) ) ) ) ).
fof(fc2_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k2_ens_1(A))) ) ) ).
fof(fc3_ens_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k2_ens_1(A)))  =>  (v1_relat_1(k2_xtuple_0(B)) & v1_funct_1(k2_xtuple_0(B))) ) ) ).
fof(fc4_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k11_ens_1(A)))  &  ( ~ (v11_struct_0(k11_ens_1(A)))  &  (v1_cat_1(k11_ens_1(A)) &  (v2_cat_1(k11_ens_1(A)) &  (v3_cat_1(k11_ens_1(A)) &  (v4_cat_1(k11_ens_1(A)) &  (v5_cat_1(k11_ens_1(A)) & v6_cat_1(k11_ens_1(A))) ) ) ) ) ) ) ) ) ).
fof(fc5_ens_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  ~ (v1_xboole_0(k16_ens_1(A))) ) ) ).
fof(t1_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (r2_tarski(B, k1_ens_1(A)) <=>  (? [C] :  (m1_subset_1(C, A) &  (? [D] :  (m1_subset_1(D, A) &  ( (D=k1_xboole_0 => C=k1_xboole_0)  &  (v1_funct_1(B) &  (v1_funct_2(B, C, D) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(C, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) => r1_tarski(k1_funct_2(B, C), k1_ens_1(A))) ) ) ) ) ) ).
fof(t3_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A)))  => r1_tarski(k1_ens_1(B), k1_ens_1(A))) ) ) ) ).
fof(t4_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k2_ens_1(A)) =>  (? [C] :  (m1_subset_1(C, k1_ens_1(A)) &  (? [D] :  (m1_subset_1(D, A) &  (? [E] :  (m1_subset_1(E, A) &  (B=k1_domain_1(k2_zfmisc_1(A, A), k1_ens_1(A), k1_domain_1(A, A, D, E), C) &  ( (E=k1_xboole_0 => D=k1_xboole_0)  &  (v1_funct_1(C) &  (v1_funct_2(C, D, E) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  ( (C=k1_xboole_0 => B=k1_xboole_0)  => r2_tarski(k1_domain_1(k2_zfmisc_1(A, A), k1_zfmisc_1(k2_zfmisc_1(B, C)), k1_domain_1(A, A, B, C), D), k2_ens_1(A))) ) ) ) ) ) ) ) ) ).
fof(t6_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => r1_tarski(k2_ens_1(A), k2_zfmisc_1(k2_zfmisc_1(A, A), k1_ens_1(A)))) ) ).
fof(t7_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A)))  => r1_tarski(k2_ens_1(B), k2_ens_1(A))) ) ) ) ).
fof(d3_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k2_ens_1(A)) => k3_ens_1(A, B)=k1_xfamily(k1_xfamily(B))) ) ) ) ).
fof(d4_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k2_ens_1(A)) => k4_ens_1(A, B)=k2_xfamily(k1_xfamily(B))) ) ) ) ).
fof(t8_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k2_ens_1(A)) => B=k4_tarski(k1_domain_1(A, A, k3_ens_1(A, B), k4_ens_1(A, B)), k2_xfamily(B))) ) ) ) ).
fof(t9_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k2_ens_1(A)) =>  ( ~ ( (k4_ens_1(A, B)=k1_xboole_0 &  ~ (k3_ens_1(A, B)=k1_xboole_0) ) )  &  (v1_funct_1(k2_xfamily(B)) &  (v1_funct_2(k2_xfamily(B), k3_ens_1(A, B), k4_ens_1(A, B)) & m1_subset_1(k2_xfamily(B), k1_zfmisc_1(k2_zfmisc_1(k3_ens_1(A, B), k4_ens_1(A, B))))) ) ) ) ) ) ) ).
fof(t10_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (! [D] :  (r2_hidden(k4_tarski(k4_tarski(C, D), B), k2_ens_1(A)) =>  ( (D=k1_xboole_0 => C=k1_xboole_0)  &  (v1_funct_1(B) &  (v1_funct_2(B, C, D) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(C, D)))) ) ) ) ) ) ) ) ) ) ).
fof(d5_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) => k5_ens_1(A, B)=k1_domain_1(k2_zfmisc_1(A, A), k1_zfmisc_1(k2_zfmisc_1(B, B)), k1_domain_1(A, A, B, B), k6_partfun1(B))) ) ) ) ).
fof(t11_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (k2_xfamily(k5_ens_1(A, B))=k6_partfun1(B) &  (k3_ens_1(A, k5_ens_1(A, B))=B & k4_ens_1(A, k5_ens_1(A, B))=B) ) ) ) ) ) ).
fof(d6_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k2_ens_1(A)) =>  (! [C] :  (m1_subset_1(C, k2_ens_1(A)) =>  (k4_ens_1(A, B)=k3_ens_1(A, C) => k6_ens_1(A, B, C)=k4_tarski(k1_domain_1(A, A, k3_ens_1(A, B), k4_ens_1(A, C)), k3_relat_1(k2_xfamily(B), k2_xfamily(C)))) ) ) ) ) ) ) ).
fof(t12_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k2_ens_1(A)) =>  (! [C] :  (m1_subset_1(C, k2_ens_1(A)) =>  (k3_ens_1(A, C)=k4_ens_1(A, B) =>  (k2_xfamily(k6_ens_1(A, B, C))=k3_relat_1(k2_xfamily(B), k2_xfamily(C)) &  (k3_ens_1(A, k6_ens_1(A, B, C))=k3_ens_1(A, B) & k4_ens_1(A, k6_ens_1(A, B, C))=k4_ens_1(A, C)) ) ) ) ) ) ) ) ) ).
fof(t13_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k2_ens_1(A)) =>  (! [C] :  (m1_subset_1(C, k2_ens_1(A)) =>  (! [D] :  (m1_subset_1(D, k2_ens_1(A)) =>  ( (k3_ens_1(A, C)=k4_ens_1(A, B) & k3_ens_1(A, D)=k4_ens_1(A, C))  => k6_ens_1(A, k6_ens_1(A, B, C), D)=k6_ens_1(A, B, k6_ens_1(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t14_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k2_ens_1(A)) =>  (k6_ens_1(A, k5_ens_1(A, k3_ens_1(A, B)), B)=B & k6_ens_1(A, B, k5_ens_1(A, k4_ens_1(A, B)))=B) ) ) ) ) ).
fof(t15_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  ( (C=k1_xboole_0 => B=k1_xboole_0)  => r2_tarski(k1_domain_1(k2_zfmisc_1(A, A), k1_zfmisc_1(k2_zfmisc_1(B, C)), k1_domain_1(A, A, B, C), D), k7_ens_1(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t16_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, k2_ens_1(A)) =>  (r2_tarski(D, k7_ens_1(A, B, C)) => D=k4_tarski(k1_domain_1(A, A, B, C), k2_xfamily(D))) ) ) ) ) ) ) ) ) ).
fof(t17_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) => r1_tarski(k7_ens_1(A, B, C), k2_ens_1(A))) ) ) ) ) ) ).
fof(t19_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, k2_ens_1(A)) =>  (r2_tarski(D, k7_ens_1(A, B, C)) <=>  (k3_ens_1(A, D)=B & k4_ens_1(A, D)=C) ) ) ) ) ) ) ) ) ) ).
fof(t20_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, k2_ens_1(A)) =>  (r2_tarski(D, k7_ens_1(A, B, C)) => r2_tarski(k2_xfamily(D), k1_funct_2(B, C))) ) ) ) ) ) ) ) ) ).
fof(d8_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k2_ens_1(A)) =>  (v1_ens_1(B, A) <=> k10_xtuple_0(k2_xfamily(B))=k4_ens_1(A, B)) ) ) ) ) ).
fof(d9_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_ens_1(A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_ens_1(A), A)))) )  =>  (B=k8_ens_1(A) <=>  (! [C] :  (m1_subset_1(C, k2_ens_1(A)) => k3_funct_2(k2_ens_1(A), A, B, C)=k3_ens_1(A, C)) ) ) ) ) ) ) ).
fof(d10_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_ens_1(A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_ens_1(A), A)))) )  =>  (B=k9_ens_1(A) <=>  (! [C] :  (m1_subset_1(C, k2_ens_1(A)) => k3_funct_2(k2_ens_1(A), A, B, C)=k4_ens_1(A, C)) ) ) ) ) ) ) ).
fof(d11_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_ens_1(A), k2_ens_1(A)), k2_ens_1(A)))))  =>  (B=k10_ens_1(A) <=>  ( (! [C] :  (m1_subset_1(C, k2_ens_1(A)) =>  (! [D] :  (m1_subset_1(D, k2_ens_1(A)) =>  (r2_tarski(k1_domain_1(k2_ens_1(A), k2_ens_1(A), C, D), k9_xtuple_0(B)) <=> k3_ens_1(A, C)=k4_ens_1(A, D)) ) ) ) )  &  (! [C] :  (m1_subset_1(C, k2_ens_1(A)) =>  (! [D] :  (m1_subset_1(D, k2_ens_1(A)) =>  (k3_ens_1(A, C)=k4_ens_1(A, D) => k1_funct_1(B, k1_domain_1(k2_ens_1(A), k2_ens_1(A), C, D))=k6_ens_1(A, D, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k11_ens_1(A)=g1_cat_1(A, k2_ens_1(A), k8_ens_1(A), k9_ens_1(A), k10_ens_1(A))) ) ).
fof(t22_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) => m1_subset_1(B, u1_struct_0(k11_ens_1(A)))) ) ) ) ).
fof(d14_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) => k12_ens_1(A, B)=B) ) ) ) ).
fof(t23_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k11_ens_1(A))) => m1_subset_1(B, A)) ) ) ) ).
fof(d15_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k11_ens_1(A))) => k13_ens_1(A, B)=B) ) ) ) ).
fof(t24_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k2_ens_1(A)) => m1_subset_1(B, u4_struct_0(k11_ens_1(A)))) ) ) ) ).
fof(d16_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k2_ens_1(A)) => k14_ens_1(A, B)=B) ) ) ) ).
fof(t25_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(k11_ens_1(A))) => m1_subset_1(B, k2_ens_1(A))) ) ) ) ).
fof(d17_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(k11_ens_1(A))) => k15_ens_1(A, B)=B) ) ) ) ).
fof(t26_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(k11_ens_1(A))) =>  (k3_graph_1(k11_ens_1(A), B)=k3_ens_1(A, k15_ens_1(A, B)) & k4_graph_1(k11_ens_1(A), B)=k4_ens_1(A, k15_ens_1(A, B))) ) ) ) ) ).
fof(t27_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k11_ens_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k11_ens_1(A))) => k2_cat_1(k11_ens_1(A), B, C)=k7_ens_1(A, k13_ens_1(A, B), k13_ens_1(A, C))) ) ) ) ) ) ).
fof(t28_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(k11_ens_1(A))) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(k11_ens_1(A))) =>  (k3_graph_1(k11_ens_1(A), C)=k4_graph_1(k11_ens_1(A), B) => k1_cat_1(k11_ens_1(A), B, C)=k6_ens_1(A, k15_ens_1(A, B), k15_ens_1(A, C))) ) ) ) ) ) ) ).
fof(t29_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k11_ens_1(A))) => k4_cat_1(k11_ens_1(A), B)=k5_ens_1(A, k13_ens_1(A, B))) ) ) ) ).
fof(t30_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k11_ens_1(A))) =>  (B=k1_xboole_0 => v11_cat_1(B, k11_ens_1(A))) ) ) ) ) ).
fof(t31_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k11_ens_1(A))) =>  ( (r2_tarski(k1_xboole_0, A) & v11_cat_1(B, k11_ens_1(A)))  => B=k1_xboole_0) ) ) ) ) ).
fof(t32_ens_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k11_ens_1(A))) =>  (v11_cat_1(B, k11_ens_1(A)) => B=k1_xboole_0) ) ) ) ) ).
fof(t33_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k11_ens_1(A))) =>  ( (? [C] : B=k1_tarski(C))  => v10_cat_1(B, k11_ens_1(A))) ) ) ) ) ).
fof(t34_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k11_ens_1(A))) =>  ~ ( ( ~ (A=k1_tarski(k1_xboole_0))  &  (v10_cat_1(B, k11_ens_1(A)) &  (! [C] :  ~ (B=k1_tarski(C)) ) ) ) ) ) ) ) ) ).
fof(t35_ens_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k11_ens_1(A))) =>  ~ ( (v10_cat_1(B, k11_ens_1(A)) &  (! [C] :  ~ (B=k1_tarski(C)) ) ) ) ) ) ) ) ).
fof(t36_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k11_ens_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k11_ens_1(A))) =>  (! [D] :  (m1_cat_1(D, k11_ens_1(A), B, C) =>  ( ~ (k2_cat_1(k11_ens_1(A), B, C)=k1_xboole_0)  =>  (v7_cat_1(D, k11_ens_1(A), B, C) <=> v2_funct_1(k2_xfamily(k15_ens_1(A, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t37_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k11_ens_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k11_ens_1(A))) =>  (! [D] :  (m1_cat_1(D, k11_ens_1(A), B, C) =>  (v8_cat_1(D, k11_ens_1(A), B, C) =>  (k2_cat_1(k11_ens_1(A), B, C)=k1_xboole_0 |  ( (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (! [G] :  ~ ( (r2_tarski(F, E) &  (r2_tarski(G, E) &  ~ (F=G) ) ) ) ) ) ) )  | v1_ens_1(k15_ens_1(A, D), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k11_ens_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k11_ens_1(A))) =>  ( ~ (k2_cat_1(k11_ens_1(A), B, C)=k1_xboole_0)  =>  (! [D] :  (m1_cat_1(D, k11_ens_1(A), B, C) =>  (v1_ens_1(k15_ens_1(A, D), A) => v8_cat_1(D, k11_ens_1(A), B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t39_ens_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k11_ens_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k11_ens_1(A))) =>  ( ~ (k2_cat_1(k11_ens_1(A), B, C)=k1_xboole_0)  =>  (! [D] :  (m1_cat_1(D, k11_ens_1(A), B, C) =>  (v8_cat_1(D, k11_ens_1(A), B, C) => v1_ens_1(k15_ens_1(A, D), A)) ) ) ) ) ) ) ) ) ) ).
fof(t40_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A)))  =>  (v1_cat_2(k11_ens_1(B), k11_ens_1(A)) & m3_cat_2(k11_ens_1(B), k11_ens_1(A))) ) ) ) ) ).
fof(t41_ens_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_tarski(k2_cat_1(A, B, C), k16_ens_1(A))) ) ) ) ) ) ).
fof(t42_ens_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  ( (k2_cat_1(A, B, k4_graph_1(A, C))=k1_xboole_0 => k2_cat_1(A, B, k3_graph_1(A, C))=k1_xboole_0)  &  (k2_cat_1(A, k3_graph_1(A, C), B)=k1_xboole_0 => k2_cat_1(A, k4_graph_1(A, C), B)=k1_xboole_0) ) ) ) ) ) ) ) ).
fof(d19_ens_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_cat_1(A, B, k3_graph_1(A, C)), k2_cat_1(A, B, k4_graph_1(A, C))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_cat_1(A, B, k3_graph_1(A, C)), k2_cat_1(A, B, k4_graph_1(A, C)))))) )  =>  (D=k17_ens_1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (r2_tarski(E, k2_cat_1(A, B, k3_graph_1(A, C))) => k1_funct_1(D, E)=k1_cat_1(A, E, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d20_ens_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_cat_1(A, k4_graph_1(A, C), B), k2_cat_1(A, k3_graph_1(A, C), B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_cat_1(A, k4_graph_1(A, C), B), k2_cat_1(A, k3_graph_1(A, C), B))))) )  =>  (D=k18_ens_1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (r2_tarski(E, k2_cat_1(A, k4_graph_1(A, C), B)) => k1_funct_1(D, E)=k1_cat_1(A, C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_ens_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k17_ens_1(A, B, k4_cat_1(A, C))=k6_partfun1(k2_cat_1(A, B, C))) ) ) ) ) ) ).
fof(t44_ens_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k18_ens_1(A, B, k4_cat_1(A, C))=k6_partfun1(k2_cat_1(A, C, B))) ) ) ) ) ) ).
fof(t45_ens_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (k3_graph_1(A, D)=k4_graph_1(A, C) => k17_ens_1(A, B, k1_cat_1(A, C, D))=k1_partfun1(k2_cat_1(A, B, k3_graph_1(A, C)), k2_cat_1(A, B, k4_graph_1(A, C)), k2_cat_1(A, B, k3_graph_1(A, D)), k2_cat_1(A, B, k4_graph_1(A, D)), k17_ens_1(A, B, C), k17_ens_1(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t46_ens_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (k3_graph_1(A, D)=k4_graph_1(A, C) => k18_ens_1(A, B, k1_cat_1(A, C, D))=k1_partfun1(k2_cat_1(A, k4_graph_1(A, D), B), k2_cat_1(A, k3_graph_1(A, D), B), k2_cat_1(A, k4_graph_1(A, C), B), k2_cat_1(A, k3_graph_1(A, C), B), k18_ens_1(A, B, D), k18_ens_1(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t47_ens_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) => m1_subset_1(k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u4_struct_0(A)), k1_zfmisc_1(u4_struct_0(A))), k1_zfmisc_1(k2_zfmisc_1(k2_cat_1(A, B, k3_graph_1(A, C)), k2_cat_1(A, B, k4_graph_1(A, C)))), k1_domain_1(k1_zfmisc_1(u4_struct_0(A)), k1_zfmisc_1(u4_struct_0(A)), k2_cat_1(A, B, k3_graph_1(A, C)), k2_cat_1(A, B, k4_graph_1(A, C))), k17_ens_1(A, B, C)), k2_ens_1(k16_ens_1(A)))) ) ) ) ) ) ).
fof(t48_ens_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) => m1_subset_1(k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u4_struct_0(A)), k1_zfmisc_1(u4_struct_0(A))), k1_zfmisc_1(k2_zfmisc_1(k2_cat_1(A, k4_graph_1(A, C), B), k2_cat_1(A, k3_graph_1(A, C), B))), k1_domain_1(k1_zfmisc_1(u4_struct_0(A)), k1_zfmisc_1(u4_struct_0(A)), k2_cat_1(A, k4_graph_1(A, C), B), k2_cat_1(A, k3_graph_1(A, C), B)), k18_ens_1(A, B, C)), k2_ens_1(k16_ens_1(A)))) ) ) ) ) ) ).
fof(d21_ens_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u4_struct_0(A), k2_ens_1(k16_ens_1(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), k2_ens_1(k16_ens_1(A)))))) )  =>  (C=k19_ens_1(A, B) <=>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) => k3_funct_2(u4_struct_0(A), k2_ens_1(k16_ens_1(A)), C, D)=k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u4_struct_0(A)), k1_zfmisc_1(u4_struct_0(A))), k1_zfmisc_1(k2_zfmisc_1(k2_cat_1(A, B, k3_graph_1(A, D)), k2_cat_1(A, B, k4_graph_1(A, D)))), k1_domain_1(k1_zfmisc_1(u4_struct_0(A)), k1_zfmisc_1(u4_struct_0(A)), k2_cat_1(A, B, k3_graph_1(A, D)), k2_cat_1(A, B, k4_graph_1(A, D))), k17_ens_1(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(d22_ens_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u4_struct_0(A), k2_ens_1(k16_ens_1(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), k2_ens_1(k16_ens_1(A)))))) )  =>  (C=k20_ens_1(A, B) <=>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) => k3_funct_2(u4_struct_0(A), k2_ens_1(k16_ens_1(A)), C, D)=k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u4_struct_0(A)), k1_zfmisc_1(u4_struct_0(A))), k1_zfmisc_1(k2_zfmisc_1(k2_cat_1(A, k4_graph_1(A, D), B), k2_cat_1(A, k3_graph_1(A, D), B))), k1_domain_1(k1_zfmisc_1(u4_struct_0(A)), k1_zfmisc_1(u4_struct_0(A)), k2_cat_1(A, k4_graph_1(A, D), B), k2_cat_1(A, k3_graph_1(A, D), B)), k18_ens_1(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t49_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (r1_tarski(k16_ens_1(B), A) => m2_cat_1(k19_ens_1(B, C), B, k11_ens_1(A))) ) ) ) ) ) ) ).
fof(t50_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (r1_tarski(k16_ens_1(B), A) => m1_oppcat_1(k20_ens_1(B, C), B, k11_ens_1(A))) ) ) ) ) ) ) ).
fof(t51_ens_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (k2_cat_1(A, k3_graph_1(A, B), k4_graph_1(A, C))=k1_xboole_0 => k2_cat_1(A, k4_graph_1(A, B), k3_graph_1(A, C))=k1_xboole_0) ) ) ) ) ) ) ).
fof(d23_ens_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_cat_1(A, k4_graph_1(A, B), k3_graph_1(A, C)), k2_cat_1(A, k3_graph_1(A, B), k4_graph_1(A, C))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_cat_1(A, k4_graph_1(A, B), k3_graph_1(A, C)), k2_cat_1(A, k3_graph_1(A, B), k4_graph_1(A, C)))))) )  =>  (D=k21_ens_1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (r2_tarski(E, k2_cat_1(A, k4_graph_1(A, B), k3_graph_1(A, C))) => k1_funct_1(D, E)=k1_cat_1(A, B, k1_cat_1(A, E, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_ens_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) => m1_subset_1(k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u4_struct_0(A)), k1_zfmisc_1(u4_struct_0(A))), k1_zfmisc_1(k2_zfmisc_1(k2_cat_1(A, k4_graph_1(A, B), k3_graph_1(A, C)), k2_cat_1(A, k3_graph_1(A, B), k4_graph_1(A, C)))), k1_domain_1(k1_zfmisc_1(u4_struct_0(A)), k1_zfmisc_1(u4_struct_0(A)), k2_cat_1(A, k4_graph_1(A, B), k3_graph_1(A, C)), k2_cat_1(A, k3_graph_1(A, B), k4_graph_1(A, C))), k21_ens_1(A, B, C)), k2_ens_1(k16_ens_1(A)))) ) ) ) ) ) ).
fof(t53_ens_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (k21_ens_1(A, k4_cat_1(A, B), C)=k17_ens_1(A, B, C) & k21_ens_1(A, C, k4_cat_1(A, B))=k18_ens_1(A, B, C)) ) ) ) ) ) ) ).
fof(t54_ens_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k21_ens_1(A, k4_cat_1(A, B), k4_cat_1(A, C))=k6_partfun1(k2_cat_1(A, B, C))) ) ) ) ) ) ).
fof(t55_ens_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) => k21_ens_1(A, B, C)=k1_partfun1(k2_cat_1(A, k4_graph_1(A, B), k3_graph_1(A, C)), k2_cat_1(A, k3_graph_1(A, B), k3_graph_1(A, C)), k2_cat_1(A, k3_graph_1(A, B), k3_graph_1(A, C)), k2_cat_1(A, k3_graph_1(A, B), k4_graph_1(A, C)), k18_ens_1(A, k3_graph_1(A, C), B), k17_ens_1(A, k3_graph_1(A, B), C))) ) ) ) ) ) ).
fof(t56_ens_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  ( (k4_graph_1(A, C)=k3_graph_1(A, B) & k3_graph_1(A, E)=k4_graph_1(A, D))  => k21_ens_1(A, k1_cat_1(A, C, B), k1_cat_1(A, D, E))=k1_partfun1(k2_cat_1(A, k4_graph_1(A, B), k3_graph_1(A, D)), k2_cat_1(A, k3_graph_1(A, B), k4_graph_1(A, D)), k2_cat_1(A, k4_graph_1(A, C), k3_graph_1(A, E)), k2_cat_1(A, k3_graph_1(A, C), k4_graph_1(A, E)), k21_ens_1(A, B, D), k21_ens_1(A, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d24_ens_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u4_struct_0(k6_cat_2(A, A)), k2_ens_1(k16_ens_1(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(k6_cat_2(A, A)), k2_ens_1(k16_ens_1(A)))))) )  =>  (B=k22_ens_1(A) <=>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) => k3_funct_2(u4_struct_0(k6_cat_2(A, A)), k2_ens_1(k16_ens_1(A)), B, k8_cat_2(A, A, C, D))=k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u4_struct_0(A)), k1_zfmisc_1(u4_struct_0(A))), k1_zfmisc_1(k2_zfmisc_1(k2_cat_1(A, k4_graph_1(A, C), k3_graph_1(A, D)), k2_cat_1(A, k3_graph_1(A, C), k4_graph_1(A, D)))), k1_domain_1(k1_zfmisc_1(u4_struct_0(A)), k1_zfmisc_1(u4_struct_0(A)), k2_cat_1(A, k4_graph_1(A, C), k3_graph_1(A, D)), k2_cat_1(A, k3_graph_1(A, C), k4_graph_1(A, D))), k21_ens_1(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t57_ens_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k19_ens_1(A, B)=k1_funct_1(k1_funct_5(k22_ens_1(A)), k4_cat_1(A, B)) & k20_ens_1(A, B)=k1_funct_1(k3_funct_5(k22_ens_1(A)), k4_cat_1(A, B))) ) ) ) ) ).
fof(t58_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (r1_tarski(k16_ens_1(B), A) => m2_cat_1(k22_ens_1(B), k6_cat_2(k1_oppcat_1(B), B), k11_ens_1(A))) ) ) ) ) ).
fof(d25_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (r1_tarski(k16_ens_1(B), A) => k23_ens_1(A, B, C)=k19_ens_1(B, C)) ) ) ) ) ) ) ).
fof(d26_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (r1_tarski(k16_ens_1(B), A) => k24_ens_1(A, B, C)=k20_ens_1(B, C)) ) ) ) ) ) ) ).
fof(d27_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (r1_tarski(k16_ens_1(B), A) => k25_ens_1(A, B)=k22_ens_1(B)) ) ) ) ) ).
fof(t59_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(B)) =>  (r1_tarski(k16_ens_1(B), A) => k3_funct_2(u4_struct_0(B), u4_struct_0(k11_ens_1(A)), k23_ens_1(A, B, C), D)=k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u4_struct_0(B)), k1_zfmisc_1(u4_struct_0(B))), k1_zfmisc_1(k2_zfmisc_1(k2_cat_1(B, C, k3_graph_1(B, D)), k2_cat_1(B, C, k4_graph_1(B, D)))), k1_domain_1(k1_zfmisc_1(u4_struct_0(B)), k1_zfmisc_1(u4_struct_0(B)), k2_cat_1(B, C, k3_graph_1(B, D)), k2_cat_1(B, C, k4_graph_1(B, D))), k17_ens_1(B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t60_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r1_tarski(k16_ens_1(B), A) => k3_funct_2(u1_struct_0(B), u1_struct_0(k11_ens_1(A)), k7_cat_1(B, k11_ens_1(A), k23_ens_1(A, B, C)), D)=k2_cat_1(B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t61_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(B)) =>  (r1_tarski(k16_ens_1(B), A) => k3_funct_2(u4_struct_0(B), u4_struct_0(k11_ens_1(A)), k24_ens_1(A, B, C), D)=k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u4_struct_0(B)), k1_zfmisc_1(u4_struct_0(B))), k1_zfmisc_1(k2_zfmisc_1(k2_cat_1(B, k4_graph_1(B, D), C), k2_cat_1(B, k3_graph_1(B, D), C))), k1_domain_1(k1_zfmisc_1(u4_struct_0(B)), k1_zfmisc_1(u4_struct_0(B)), k2_cat_1(B, k4_graph_1(B, D), C), k2_cat_1(B, k3_graph_1(B, D), C)), k18_ens_1(B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t62_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r1_tarski(k16_ens_1(B), A) => k3_funct_2(u1_struct_0(B), u1_struct_0(k11_ens_1(A)), k7_cat_1(B, k11_ens_1(A), k24_ens_1(A, B, C)), D)=k2_cat_1(B, D, C)) ) ) ) ) ) ) ) ) ).
fof(t63_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(B)) =>  (r1_tarski(k16_ens_1(B), A) => k3_funct_2(u4_struct_0(k6_cat_2(k1_oppcat_1(B), B)), u4_struct_0(k11_ens_1(A)), k25_ens_1(A, B), k8_cat_2(k1_oppcat_1(B), B, k4_oppcat_1(B, C), D))=k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u4_struct_0(B)), k1_zfmisc_1(u4_struct_0(B))), k1_zfmisc_1(k2_zfmisc_1(k2_cat_1(B, k4_graph_1(B, C), k3_graph_1(B, D)), k2_cat_1(B, k3_graph_1(B, C), k4_graph_1(B, D)))), k1_domain_1(k1_zfmisc_1(u4_struct_0(B)), k1_zfmisc_1(u4_struct_0(B)), k2_cat_1(B, k4_graph_1(B, C), k3_graph_1(B, D)), k2_cat_1(B, k3_graph_1(B, C), k4_graph_1(B, D))), k21_ens_1(B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t64_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r1_tarski(k16_ens_1(B), A) => k3_funct_2(u1_struct_0(k6_cat_2(k1_oppcat_1(B), B)), u1_struct_0(k11_ens_1(A)), k7_cat_1(k6_cat_2(k1_oppcat_1(B), B), k11_ens_1(A), k25_ens_1(A, B)), k7_cat_2(k1_oppcat_1(B), B, k2_oppcat_1(B, C), D))=k2_cat_1(B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t65_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (r1_tarski(k16_ens_1(B), A) => r2_funct_2(u4_struct_0(B), u4_struct_0(k11_ens_1(A)), k10_cat_2(k1_oppcat_1(B), B, k11_ens_1(A), k25_ens_1(A, B), k2_oppcat_1(B, C)), k23_ens_1(A, B, C))) ) ) ) ) ) ) ).
fof(t66_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (r1_tarski(k16_ens_1(B), A) => r1_funct_2(u4_struct_0(k1_oppcat_1(B)), u4_struct_0(k11_ens_1(A)), u4_struct_0(B), u4_struct_0(k11_ens_1(A)), k11_cat_2(k1_oppcat_1(B), B, k11_ens_1(A), k25_ens_1(A, B), C), k24_ens_1(A, B, C))) ) ) ) ) ) ) ).
fof(dt_k3_ens_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k2_ens_1(A)))  => m1_subset_1(k3_ens_1(A, B), A)) ) ).
fof(dt_k4_ens_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k2_ens_1(A)))  => m1_subset_1(k4_ens_1(A, B), A)) ) ).
fof(dt_k5_ens_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => m1_subset_1(k5_ens_1(A, B), k2_ens_1(A))) ) ).
fof(dt_k6_ens_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k2_ens_1(A)) & m1_subset_1(C, k2_ens_1(A))) )  => m1_subset_1(k6_ens_1(A, B, C), k2_ens_1(A))) ) ).
fof(dt_k8_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k8_ens_1(A)) &  (v1_funct_2(k8_ens_1(A), k2_ens_1(A), A) & m1_subset_1(k8_ens_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_ens_1(A), A)))) ) ) ) ).
fof(dt_k9_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k9_ens_1(A)) &  (v1_funct_2(k9_ens_1(A), k2_ens_1(A), A) & m1_subset_1(k9_ens_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_ens_1(A), A)))) ) ) ) ).
fof(dt_k10_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k10_ens_1(A)) & m1_subset_1(k10_ens_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_ens_1(A), k2_ens_1(A)), k2_ens_1(A))))) ) ) ).
fof(dt_k11_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k11_ens_1(A)))  &  ( ~ (v11_struct_0(k11_ens_1(A)))  &  (v1_cat_1(k11_ens_1(A)) & l1_cat_1(k11_ens_1(A))) ) ) ) ) ).
fof(dt_k12_ens_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => m1_subset_1(k12_ens_1(A, B), u1_struct_0(k11_ens_1(A)))) ) ).
fof(dt_k13_ens_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, u1_struct_0(k11_ens_1(A))))  => m1_subset_1(k13_ens_1(A, B), A)) ) ).
fof(dt_k14_ens_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k2_ens_1(A)))  => m1_subset_1(k14_ens_1(A, B), u4_struct_0(k11_ens_1(A)))) ) ).
fof(dt_k15_ens_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, u4_struct_0(k11_ens_1(A))))  => m1_subset_1(k15_ens_1(A, B), k2_ens_1(A))) ) ).
fof(dt_k17_ens_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u4_struct_0(A))) )  =>  (v1_funct_1(k17_ens_1(A, B, C)) &  (v1_funct_2(k17_ens_1(A, B, C), k2_cat_1(A, B, k3_graph_1(A, C)), k2_cat_1(A, B, k4_graph_1(A, C))) & m1_subset_1(k17_ens_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_cat_1(A, B, k3_graph_1(A, C)), k2_cat_1(A, B, k4_graph_1(A, C)))))) ) ) ) ).
fof(dt_k18_ens_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u4_struct_0(A))) )  =>  (v1_funct_1(k18_ens_1(A, B, C)) &  (v1_funct_2(k18_ens_1(A, B, C), k2_cat_1(A, k4_graph_1(A, C), B), k2_cat_1(A, k3_graph_1(A, C), B)) & m1_subset_1(k18_ens_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_cat_1(A, k4_graph_1(A, C), B), k2_cat_1(A, k3_graph_1(A, C), B))))) ) ) ) ).
fof(dt_k19_ens_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k19_ens_1(A, B)) &  (v1_funct_2(k19_ens_1(A, B), u4_struct_0(A), k2_ens_1(k16_ens_1(A))) & m1_subset_1(k19_ens_1(A, B), k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), k2_ens_1(k16_ens_1(A)))))) ) ) ) ).
fof(dt_k20_ens_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k20_ens_1(A, B)) &  (v1_funct_2(k20_ens_1(A, B), u4_struct_0(A), k2_ens_1(k16_ens_1(A))) & m1_subset_1(k20_ens_1(A, B), k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), k2_ens_1(k16_ens_1(A)))))) ) ) ) ).
fof(dt_k21_ens_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  (m1_subset_1(B, u4_struct_0(A)) & m1_subset_1(C, u4_struct_0(A))) )  =>  (v1_funct_1(k21_ens_1(A, B, C)) &  (v1_funct_2(k21_ens_1(A, B, C), k2_cat_1(A, k4_graph_1(A, B), k3_graph_1(A, C)), k2_cat_1(A, k3_graph_1(A, B), k4_graph_1(A, C))) & m1_subset_1(k21_ens_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_cat_1(A, k4_graph_1(A, B), k3_graph_1(A, C)), k2_cat_1(A, k3_graph_1(A, B), k4_graph_1(A, C)))))) ) ) ) ).
fof(dt_k22_ens_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (v1_funct_1(k22_ens_1(A)) &  (v1_funct_2(k22_ens_1(A), u4_struct_0(k6_cat_2(A, A)), k2_ens_1(k16_ens_1(A))) & m1_subset_1(k22_ens_1(A), k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(k6_cat_2(A, A)), k2_ens_1(k16_ens_1(A)))))) ) ) ) ).
fof(dt_k23_ens_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  & m1_subset_1(C, u1_struct_0(B))) )  => m2_cat_1(k23_ens_1(A, B, C), B, k11_ens_1(A))) ) ).
fof(dt_k24_ens_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  & m1_subset_1(C, u1_struct_0(B))) )  => m1_oppcat_1(k24_ens_1(A, B, C), B, k11_ens_1(A))) ) ).
fof(dt_k25_ens_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) ) )  => m2_cat_1(k25_ens_1(A, B), k6_cat_2(k1_oppcat_1(B), B), k11_ens_1(A))) ) ).
fof(d1_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k1_ens_1(A)=k3_tarski(a_1_0_ens_1(A))) ) ).
fof(d2_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k2_ens_1(A)=a_1_1_ens_1(A)) ) ).
fof(d7_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) => k7_ens_1(A, B, C)=a_3_0_ens_1(A, B, C)) ) ) ) ) ) ).
fof(t18_ens_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k2_ens_1(A)=k3_tarski(a_1_2_ens_1(A))) ) ).
fof(d18_ens_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  => k16_ens_1(A)=a_1_3_ens_1(A)) ) ).
fof(fraenkel_a_1_0_ens_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (r2_hidden(A, a_1_0_ens_1(B)) <=>  (? [C, D] :  ( (m1_subset_1(C, B) & m1_subset_1(D, B))  & A=k1_funct_2(C, D)) ) ) ) ) ).
fof(fraenkel_a_1_1_ens_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (r2_hidden(A, a_1_1_ens_1(B)) <=>  (? [C, D, E] :  ( (m1_subset_1(C, B) &  (m1_subset_1(D, B) & m1_subset_1(E, k1_ens_1(B))) )  &  (A=k1_domain_1(k2_zfmisc_1(B, B), k1_ens_1(B), k1_domain_1(B, B, C, D), E) &  ( (D=k1_xboole_0 => C=k1_xboole_0)  &  (v1_funct_1(E) &  (v1_funct_2(E, C, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, D)))) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_ens_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, B) & m1_subset_1(D, B)) )  =>  (r2_hidden(A, a_3_0_ens_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_ens_1(B)) &  (A=k1_domain_1(k2_zfmisc_1(B, B), k1_ens_1(B), k1_domain_1(B, B, C, D), E) & r2_tarski(k1_domain_1(k2_zfmisc_1(B, B), k1_ens_1(B), k1_domain_1(B, B, C, D), E), k2_ens_1(B))) ) ) ) ) ) ).
fof(fraenkel_a_1_2_ens_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (r2_hidden(A, a_1_2_ens_1(B)) <=>  (? [C, D] :  ( (m1_subset_1(C, B) & m1_subset_1(D, B))  & A=k7_ens_1(B, C, D)) ) ) ) ) ).
fof(fraenkel_a_1_3_ens_1, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (r2_hidden(A, a_1_3_ens_1(B)) <=>  (? [C, D] :  ( (m1_subset_1(C, u1_struct_0(B)) & m1_subset_1(D, u1_struct_0(B)))  & A=k2_cat_1(B, C, D)) ) ) ) ) ).
fof(rc1_entropy1, axiom,  (? [A] :  (m1_finseq_1(A, k1_numbers) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k1_numbers) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) & v4_partfun3(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_entropy1, axiom,  (! [A] :  (m1_finseq_1(A, k1_numbers) =>  (v1_matrprob(A) =>  ( ~ (v1_xboole_0(A))  & v4_partfun3(A)) ) ) ) ).
fof(cc2_entropy1, axiom,  (! [A] :  (m1_finseq_1(A, k3_finseq_2(k1_numbers)) =>  ( (v1_matrix_0(A) & v3_matrprob(A))  =>  ( ~ (v3_relat_1(A))  & v1_matrix_0(A)) ) ) ) ).
fof(cc3_entropy1, axiom,  (! [A] :  (m1_finseq_1(A, k3_finseq_2(k1_numbers)) =>  ( (v1_matrix_0(A) & v4_matrprob(A))  =>  ( ~ (v3_relat_1(A))  & v1_matrix_0(A)) ) ) ) ).
fof(rc2_entropy1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (m1_finseq_1(B, k3_finseq_2(k1_numbers)) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k3_finseq_2(k1_numbers)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) &  (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & v1_entropy1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_entropy1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( ( ~ (C=k5_numbers)  &  ( ~ (r1_xxreal_0(D, A))  &  (r1_xxreal_0(D, B) &  (r1_nat_d(C, D) & r1_xxreal_0(k3_nat_d(B, C), k3_nat_d(A, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_entropy1, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  =>  (r1_xxreal_0(k1_funct_1(k3_taylor_1, A), k6_xcmplx_0(A, 1)) &  ( (A=1 => k1_funct_1(k3_taylor_1, A)=k6_xcmplx_0(A, 1))  &  ( (k1_funct_1(k3_taylor_1, A)=k6_xcmplx_0(A, 1) => A=1)  &  ( ~ ( ( ~ (A=1)  & r1_xxreal_0(k6_xcmplx_0(A, 1), k1_funct_1(k3_taylor_1, A))) )  &  ~ ( ( ~ (r1_xxreal_0(k6_xcmplx_0(A, 1), k1_funct_1(k3_taylor_1, A)))  & A=1) ) ) ) ) ) ) ) ) ).
fof(t3_entropy1, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  =>  (r1_xxreal_0(k3_power(k4_power, A), k6_xcmplx_0(A, 1)) &  ( (A=1 => k3_power(k4_power, A)=k6_xcmplx_0(A, 1))  &  ( (k3_power(k4_power, A)=k6_xcmplx_0(A, 1) => A=1)  &  ( ~ ( ( ~ (A=1)  & r1_xxreal_0(k6_xcmplx_0(A, 1), k3_power(k4_power, A))) )  &  ~ ( ( ~ (r1_xxreal_0(k6_xcmplx_0(A, 1), k3_power(k4_power, A)))  & A=1) ) ) ) ) ) ) ) ) ).
fof(t4_entropy1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, 1))  &  ( ~ (r1_xxreal_0(B, 1))  & r1_xxreal_0(k3_power(A, B), k5_numbers)) ) ) ) ) ) ) ).
fof(t5_entropy1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (A=1)  &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  ~ (k4_xcmplx_0(k3_power(A, B))=k3_power(A, k7_xcmplx_0(1, B))) ) ) ) ) ) ) ) ) ).
fof(t6_entropy1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_xxreal_0(k5_numbers, B) & r1_xxreal_0(k5_numbers, C))  =>  (r1_xxreal_0(A, k5_numbers) |  (A=1 | k3_xcmplx_0(k3_xcmplx_0(B, C), k3_power(A, k3_xcmplx_0(B, C)))=k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(B, C), k3_power(A, B)), k3_xcmplx_0(k3_xcmplx_0(B, C), k3_power(A, C)))) ) ) ) ) ) ) ) ) ).
fof(t7_entropy1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  ( (k3_finseq_1(B)=k3_finseq_1(A) &  (k3_finseq_1(B)=k3_finseq_1(C) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(B)) => k1_funct_1(A, D)=k2_xcmplx_0(k1_funct_1(B, D), k1_funct_1(C, D))) ) ) ) )  => k18_rvsum_1(A)=k2_xcmplx_0(k18_rvsum_1(B), k18_rvsum_1(C))) ) ) ) ) ) ) ).
fof(t8_entropy1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  ( (k3_finseq_1(B)=k3_finseq_1(A) &  (k3_finseq_1(B)=k3_finseq_1(C) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(B)) => k1_funct_1(A, D)=k6_xcmplx_0(k1_funct_1(B, D), k1_funct_1(C, D))) ) ) ) )  => k18_rvsum_1(A)=k6_xcmplx_0(k18_rvsum_1(B), k18_rvsum_1(C))) ) ) ) ) ) ) ).
fof(t9_entropy1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  ~ ( (r1_xxreal_0(1, k3_finseq_1(A)) &  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  ~ ( (k3_finseq_1(B)=k3_finseq_1(A) &  (k1_funct_1(B, 1)=k1_funct_1(A, 1) &  ( (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (k5_numbers=C)  &  ( ~ (r1_xxreal_0(k3_finseq_1(A), C))  &  ~ (k1_funct_1(B, k1_nat_1(C, 1))=k2_xcmplx_0(k1_funct_1(B, C), k1_funct_1(A, k1_nat_1(C, 1)))) ) ) ) ) )  & k18_rvsum_1(A)=k1_funct_1(B, k3_finseq_1(A))) ) ) ) ) ) ) ) ) ) ).
fof(d1_entropy1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (v4_partfun3(A) <=>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k4_finseq_1(A)) => r1_xxreal_0(k5_numbers, k1_funct_1(A, B))) ) ) ) ) ) ).
fof(t10_entropy1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  ( (v4_partfun3(B) & r1_xxreal_0(k5_numbers, A))  => v4_partfun3(k10_rvsum_1(B, A))) ) ) ) ) ).
fof(d2_entropy1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_entropy1(A, B) <=>  (r2_tarski(B, k4_finseq_1(A)) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(A)) =>  (C=B | k1_funct_1(A, C)=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t11_entropy1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  (r1_entropy1(C, B) =>  (A=B | k1_funct_1(C, A)=k5_numbers) ) ) ) ) ) ) ) ).
fof(t12_entropy1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  ( (k3_finseq_1(B)=k3_finseq_1(C) & r1_entropy1(B, A))  =>  (r1_entropy1(k14_rvsum_1(B, C), A) & k1_funct_1(k14_rvsum_1(B, C), A)=k3_xcmplx_0(k1_funct_1(B, A), k1_funct_1(C, A))) ) ) ) ) ) ) ) ).
fof(t13_entropy1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (r1_entropy1(B, A) => k18_rvsum_1(B)=k1_funct_1(B, A)) ) ) ) ) ).
fof(t14_entropy1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (v4_partfun3(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r2_tarski(B, k4_finseq_1(A)) & k1_funct_1(A, B)=k18_rvsum_1(A))  => r1_entropy1(A, B)) ) ) ) ) ) ).
fof(t15_entropy1, axiom,  (! [A] :  ( (v1_matrprob(A) & m2_finseq_1(A, k1_numbers))  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r2_tarski(B, k4_finseq_1(A)) & k1_funct_1(A, B)=1)  => r1_entropy1(A, B)) ) ) ) ) ).
fof(t16_entropy1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (v1_matrprob(k2_finseq_2(A, k7_xcmplx_0(1, A))) & m2_finseq_1(k2_finseq_2(A, k7_xcmplx_0(1, A)), k1_numbers)) ) ) ).
fof(t17_entropy1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (A=k1_xboole_0 => k5_matrprob(A)=k5_numbers) ) ) ).
fof(t18_entropy1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => k4_finseq_1(k1_matrprob(A, B, C))=k2_finseq_1(k1_matrix_0(B))) ) ) ) ) ) ) ).
fof(t19_entropy1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (v2_matrprob(A) <=>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k4_finseq_1(A)) => v4_partfun3(k7_matrix_0(k1_numbers, A, B))) ) ) ) ) ) ).
fof(t20_entropy1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k4_finseq_1(A)) => k8_matrix_0(k1_numbers, k10_matrixr1(A), B)=k2_matrprob(k1_funct_1(A, B))) ) ) ) ) ).
fof(t21_entropy1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, k1_numbers))  =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  (C=k6_matrixr1(k9_matrixr1(A), k10_matrixr1(B)) <=>  (k3_finseq_1(C)=k3_finseq_1(A) &  (k1_matrix_0(C)=k3_finseq_1(B) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_hidden(k4_tarski(D, E), k2_matrix_0(C)) => k3_matrix_0(k1_numbers, C, D, E)=k3_xcmplx_0(k1_funct_1(A, D), k1_funct_1(B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_entropy1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, k1_numbers))  =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  (C=k6_matrixr1(k9_matrixr1(A), k10_matrixr1(B)) <=>  (k3_finseq_1(C)=k3_finseq_1(A) &  (k1_matrix_0(C)=k3_finseq_1(B) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(C)) => k7_matrix_0(k1_numbers, C, D)=k10_rvsum_1(B, k1_funct_1(A, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_entropy1, axiom,  (! [A] :  ( (v1_matrprob(A) & m2_finseq_1(A, k1_numbers))  =>  (! [B] :  ( (v1_matrprob(B) & m2_finseq_1(B, k1_numbers))  => v4_matrprob(k6_matrixr1(k9_matrixr1(A), k10_matrixr1(B)))) ) ) ) ).
fof(d3_entropy1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (v1_entropy1(B, A) <=>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_hidden(k4_tarski(C, D), k2_matrix_0(B)) =>  (k3_matrix_0(k1_numbers, B, C, D)=k5_numbers | C=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_entropy1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (v1_entropy1(B, A) <=>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => r1_entropy1(k7_matrix_0(k1_numbers, B, C), C)) ) ) ) ) ) ) ) ).
fof(d4_entropy1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, k3_finseq_1(A), k3_finseq_1(A)) &  (v1_entropy1(B, k3_finseq_1(A)) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) ) )  =>  (B=k1_entropy1(A) <=>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(A)) => k3_matrix_0(k1_numbers, B, C, C)=k1_funct_1(A, C)) ) ) ) ) ) ) ) ).
fof(t25_entropy1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (B=k1_entropy1(A) <=>  (k3_finseq_1(B)=k3_finseq_1(A) &  (k1_matrix_0(B)=k3_finseq_1(A) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) =>  (r1_entropy1(k7_matrix_0(k1_numbers, B, C), C) & k1_funct_1(k7_matrix_0(k1_numbers, B, C), C)=k1_funct_1(A, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_entropy1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  (k3_finseq_1(A)=k3_finseq_1(B) =>  (C=k6_matrixr1(k1_entropy1(A), B) <=>  (k3_finseq_1(C)=k3_finseq_1(A) &  (k1_matrix_0(C)=k1_matrix_0(B) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_hidden(k4_tarski(D, E), k2_matrix_0(C)) => k3_matrix_0(k1_numbers, C, D, E)=k3_xcmplx_0(k1_funct_1(A, D), k3_matrix_0(k1_numbers, B, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_entropy1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  (k3_finseq_1(A)=k3_finseq_1(B) =>  (C=k6_matrixr1(k1_entropy1(A), B) <=>  (k3_finseq_1(C)=k3_finseq_1(A) &  (k1_matrix_0(C)=k1_matrix_0(B) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(C)) => k7_matrix_0(k1_numbers, C, D)=k11_rvsum_1(k1_matrix_0(B), k7_matrix_0(k1_numbers, B, D), k1_funct_1(A, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_entropy1, axiom,  (! [A] :  ( (v1_matrprob(A) & m2_finseq_1(A, k1_numbers))  =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v6_matrprob(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) ) )  =>  (k3_finseq_1(A)=k3_finseq_1(B) => v4_matrprob(k6_matrixr1(k1_entropy1(A), B))) ) ) ) ) ).
fof(t29_entropy1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  (m2_finseq_1(C, k3_finseq_2(A)) =>  ( (k3_finseq_1(C)=k3_finseq_1(B) &  (k1_matrprob(A, C, 1)=k1_matrprob(A, B, 1) &  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(1, D) =>  (r1_xxreal_0(k3_finseq_1(B), D) | k1_matrprob(A, C, k1_nat_1(D, 1))=k8_finseq_1(A, k1_matrprob(A, C, D), k1_matrprob(A, B, k1_nat_1(D, 1)))) ) ) ) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(C)) => k3_finseq_1(k1_matrprob(A, C, D))=k3_xcmplx_0(D, k1_matrix_0(B))) ) ) ) ) ) ) ) ) ) ).
fof(t30_entropy1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  (m2_finseq_1(C, k3_finseq_2(A)) =>  ( (k3_finseq_1(C)=k3_finseq_1(B) &  (k1_matrprob(A, C, 1)=k1_matrprob(A, B, 1) &  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(1, D) =>  (r1_xxreal_0(k3_finseq_1(B), D) | k1_matrprob(A, C, k1_nat_1(D, 1))=k8_finseq_1(A, k1_matrprob(A, C, D), k1_matrprob(A, B, k1_nat_1(D, 1)))) ) ) ) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(D, k4_finseq_1(C)) &  (r2_tarski(E, k4_finseq_1(C)) & r1_xxreal_0(D, E)) )  => r1_tarski(k4_finseq_1(k1_matrprob(A, C, D)), k4_finseq_1(k1_matrprob(A, C, E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_entropy1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  (m2_finseq_1(C, k3_finseq_2(A)) =>  ( (k3_finseq_1(C)=k3_finseq_1(B) &  (k1_matrprob(A, C, 1)=k1_matrprob(A, B, 1) &  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(1, D) =>  (r1_xxreal_0(k3_finseq_1(B), D) | k1_matrprob(A, C, k1_nat_1(D, 1))=k8_finseq_1(A, k1_matrprob(A, C, D), k1_matrprob(A, B, k1_nat_1(D, 1)))) ) ) ) ) )  =>  (k3_finseq_1(k1_matrprob(A, C, 1))=k1_matrix_0(B) &  (! [D] :  (v7_ordinal1(D) =>  (r2_hidden(k4_tarski(1, D), k2_matrix_0(B)) =>  (r2_tarski(D, k4_finseq_1(k1_matrprob(A, C, 1))) & k1_funct_1(k1_matrprob(A, C, 1), D)=k3_matrix_0(A, B, 1, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_entropy1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  (m2_finseq_1(C, k3_finseq_2(A)) =>  ( (k3_finseq_1(C)=k3_finseq_1(B) &  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(1, D) =>  (r1_xxreal_0(k3_finseq_1(B), D) | k1_matrprob(A, C, k1_nat_1(D, 1))=k8_finseq_1(A, k1_matrprob(A, C, D), k1_matrprob(A, B, k1_nat_1(D, 1)))) ) ) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(1, D) =>  (r1_xxreal_0(k3_finseq_1(C), D) |  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(k1_matrprob(A, C, D))) => k1_funct_1(k1_matrprob(A, C, D), E)=k1_funct_1(k1_matrprob(A, C, k1_nat_1(D, 1)), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_entropy1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  (m2_finseq_1(C, k3_finseq_2(A)) =>  ( (k3_finseq_1(C)=k3_finseq_1(B) &  (k1_matrprob(A, C, 1)=k1_matrprob(A, B, 1) &  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(1, D) =>  (r1_xxreal_0(k3_finseq_1(B), D) | k1_matrprob(A, C, k1_nat_1(D, 1))=k8_finseq_1(A, k1_matrprob(A, C, D), k1_matrprob(A, B, k1_nat_1(D, 1)))) ) ) ) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(D, k4_finseq_1(C)) &  (r2_tarski(E, k4_finseq_1(C)) & r1_xxreal_0(D, E)) )  =>  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k4_finseq_1(k1_matrprob(A, C, D))) => k1_funct_1(k1_matrprob(A, C, D), F)=k1_funct_1(k1_matrprob(A, C, E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_entropy1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  (m2_finseq_1(C, k3_finseq_2(A)) =>  ( (k3_finseq_1(C)=k3_finseq_1(B) &  (k1_matrprob(A, C, 1)=k1_matrprob(A, B, 1) &  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(1, D) =>  (r1_xxreal_0(k3_finseq_1(B), D) | k1_matrprob(A, C, k1_nat_1(D, 1))=k8_finseq_1(A, k1_matrprob(A, C, D), k1_matrprob(A, B, k1_nat_1(D, 1)))) ) ) ) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(1, D) =>  (r1_xxreal_0(k3_finseq_1(C), D) |  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k2_finseq_1(k1_matrix_0(B))) =>  (r2_tarski(k2_xcmplx_0(k3_xcmplx_0(D, k1_matrix_0(B)), E), k4_finseq_1(k1_matrprob(A, C, k1_nat_1(D, 1)))) & k1_funct_1(k1_matrprob(A, C, k1_nat_1(D, 1)), k2_xcmplx_0(k3_xcmplx_0(D, k1_matrix_0(B)), E))=k1_funct_1(k1_matrprob(A, B, k1_nat_1(D, 1)), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_entropy1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  (m2_finseq_1(C, k3_finseq_2(A)) =>  ( (k3_finseq_1(C)=k3_finseq_1(B) &  (k1_matrprob(A, C, 1)=k1_matrprob(A, B, 1) &  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(1, D) =>  (r1_xxreal_0(k3_finseq_1(B), D) | k1_matrprob(A, C, k1_nat_1(D, 1))=k8_finseq_1(A, k1_matrprob(A, C, D), k1_matrprob(A, B, k1_nat_1(D, 1)))) ) ) ) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_hidden(k4_tarski(D, E), k2_matrix_0(B)) =>  (r2_tarski(k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(D, 1), k1_matrix_0(B)), E), k4_finseq_1(k1_matrprob(A, C, D))) & k3_matrix_0(A, B, D, E)=k1_funct_1(k1_matrprob(A, C, D), k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(D, 1), k1_matrix_0(B)), E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_entropy1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  (m2_finseq_1(C, k3_finseq_2(A)) =>  ( (k3_finseq_1(C)=k3_finseq_1(B) &  (k1_matrprob(A, C, 1)=k1_matrprob(A, B, 1) &  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(1, D) =>  (r1_xxreal_0(k3_finseq_1(B), D) | k1_matrprob(A, C, k1_nat_1(D, 1))=k8_finseq_1(A, k1_matrprob(A, C, D), k1_matrprob(A, B, k1_nat_1(D, 1)))) ) ) ) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_hidden(k4_tarski(D, E), k2_matrix_0(B)) =>  (r2_tarski(k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(D, 1), k1_matrix_0(B)), E), k4_finseq_1(k1_matrprob(A, C, k3_finseq_1(B)))) & k3_matrix_0(A, B, D, E)=k1_funct_1(k1_matrprob(A, C, k3_finseq_1(B)), k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(D, 1), k1_matrix_0(B)), E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_entropy1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (! [B] :  (m2_finseq_1(B, k3_finseq_2(k1_numbers)) =>  ( (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(1, C) =>  (r1_xxreal_0(k3_finseq_1(A), C) | k1_matrprob(k1_numbers, B, k1_nat_1(C, 1))=k8_finseq_1(k1_numbers, k1_matrprob(k1_numbers, B, C), k1_matrprob(k1_numbers, A, k1_nat_1(C, 1)))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(1, C) =>  (r1_xxreal_0(k3_finseq_1(A), C) | k18_rvsum_1(k1_matrprob(k1_numbers, B, k1_nat_1(C, 1)))=k2_xcmplx_0(k18_rvsum_1(k1_matrprob(k1_numbers, B, C)), k18_rvsum_1(k1_matrprob(k1_numbers, A, k1_nat_1(C, 1))))) ) ) ) ) ) ) ) ) ).
fof(t38_entropy1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (! [B] :  (m2_finseq_1(B, k3_finseq_2(k1_numbers)) =>  ( (k3_finseq_1(B)=k3_finseq_1(A) &  (k1_matrprob(k1_numbers, B, 1)=k1_matrprob(k1_numbers, A, 1) &  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(1, C) =>  (r1_xxreal_0(k3_finseq_1(A), C) | k1_matrprob(k1_numbers, B, k1_nat_1(C, 1))=k8_finseq_1(k1_numbers, k1_matrprob(k1_numbers, B, C), k1_matrprob(k1_numbers, A, k1_nat_1(C, 1)))) ) ) ) ) )  => k5_matrprob(A)=k18_rvsum_1(k1_matrprob(k1_numbers, B, k3_finseq_1(A)))) ) ) ) ) ).
fof(d5_entropy1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  (m2_finseq_1(C, A) =>  ( (k3_finseq_1(B)=k5_numbers =>  (C=k2_entropy1(A, B) <=> C=k1_xboole_0) )  &  ( ~ (k3_finseq_1(B)=k5_numbers)  =>  (C=k2_entropy1(A, B) <=>  (? [D] :  (m2_finseq_1(D, k3_finseq_2(A)) &  (C=k1_matrprob(A, D, k3_finseq_1(B)) &  (k3_finseq_1(D)=k3_finseq_1(B) &  (k1_matrprob(A, D, 1)=k1_matrprob(A, B, 1) &  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(1, E) =>  (r1_xxreal_0(k3_finseq_1(B), E) | k1_matrprob(A, D, k1_nat_1(E, 1))=k8_finseq_1(A, k1_matrprob(A, D, E), k1_matrprob(A, B, k1_nat_1(E, 1)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_entropy1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  => k3_finseq_1(k2_entropy1(A, B))=k3_xcmplx_0(k3_finseq_1(B), k1_matrix_0(B))) ) ) ) ).
fof(t40_entropy1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_hidden(k4_tarski(C, D), k2_matrix_0(B)) =>  (r2_tarski(k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(C, 1), k1_matrix_0(B)), D), k4_finseq_1(k2_entropy1(A, B))) & k3_matrix_0(A, B, C, D)=k1_funct_1(k2_entropy1(A, B), k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(C, 1), k1_matrix_0(B)), D))) ) ) ) ) ) ) ) ) ) ).
fof(t41_entropy1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(C, k4_finseq_1(k2_entropy1(A, B))) & D=k6_xcmplx_0(C, 1))  =>  (r2_hidden(k4_tarski(k1_nat_1(k3_nat_d(D, k1_matrix_0(B)), 1), k1_nat_1(k4_nat_d(D, k1_matrix_0(B)), 1)), k2_matrix_0(B)) & k1_funct_1(k2_entropy1(A, B), C)=k3_matrix_0(A, B, k1_nat_1(k3_nat_d(D, k1_matrix_0(B)), 1), k1_nat_1(k4_nat_d(D, k1_matrix_0(B)), 1))) ) ) ) ) ) ) ) ) ) ).
fof(t42_entropy1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  => k5_matrprob(A)=k18_rvsum_1(k2_entropy1(k1_numbers, A))) ) ).
fof(t43_entropy1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (v2_matrprob(A) <=> v4_partfun3(k2_entropy1(k1_numbers, A))) ) ) ).
fof(t44_entropy1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (v4_matrprob(A) <=> v1_matrprob(k2_entropy1(k1_numbers, A))) ) ) ).
fof(t45_entropy1, axiom,  (! [A] :  ( (v1_matrprob(A) & m2_finseq_1(A, k1_numbers))  =>  (! [B] :  ( (v1_matrprob(B) & m2_finseq_1(B, k1_numbers))  => v1_matrprob(k2_entropy1(k1_numbers, k6_matrixr1(k9_matrixr1(A), k10_matrixr1(B))))) ) ) ) ).
fof(t46_entropy1, axiom,  (! [A] :  ( (v1_matrprob(A) & m2_finseq_1(A, k1_numbers))  =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v6_matrprob(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) ) )  =>  (k3_finseq_1(A)=k3_finseq_1(B) => v1_matrprob(k2_entropy1(k1_numbers, k6_matrixr1(k1_entropy1(A), B)))) ) ) ) ) ).
fof(d6_entropy1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (v4_partfun3(B) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  (C=k3_entropy1(A, B) <=>  (k3_finseq_1(C)=k3_finseq_1(B) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(C)) =>  ( ( ~ (r1_xxreal_0(k1_funct_1(B, D), k5_numbers))  => k1_funct_1(C, D)=k3_power(A, k1_funct_1(B, D)))  &  (k1_funct_1(B, D)=k5_numbers => k1_funct_1(C, D)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_entropy1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) => k4_entropy1(A)=k14_rvsum_1(A, k3_entropy1(2, A))) ) ).
fof(t47_entropy1, axiom,  (! [A] :  ( (v4_partfun3(A) & m2_finseq_1(A, k1_numbers))  =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (B=k4_entropy1(A) <=>  (k3_finseq_1(B)=k3_finseq_1(A) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => k1_funct_1(B, C)=k3_xcmplx_0(k1_funct_1(A, C), k3_power(2, k1_funct_1(A, C)))) ) ) ) ) ) ) ) ) ).
fof(t48_entropy1, axiom,  (! [A] :  ( (v4_partfun3(A) & m2_finseq_1(A, k1_numbers))  =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k4_finseq_1(A)) =>  ( (k1_funct_1(A, B)=k5_numbers => k1_funct_1(k4_entropy1(A), B)=k5_numbers)  &  ( ~ (r1_xxreal_0(k1_funct_1(A, B), k5_numbers))  => k1_funct_1(k4_entropy1(A), B)=k3_xcmplx_0(k1_funct_1(A, B), k3_power(2, k1_funct_1(A, B)))) ) ) ) ) ) ) ).
fof(t49_entropy1, axiom,  (! [A] :  ( (v4_partfun3(A) & m2_finseq_1(A, k1_numbers))  =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (B=k6_rvsum_1(k4_entropy1(A)) <=>  (k3_finseq_1(B)=k3_finseq_1(A) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => k1_funct_1(B, C)=k3_xcmplx_0(k1_funct_1(A, C), k3_power(2, k7_xcmplx_0(1, k1_funct_1(A, C))))) ) ) ) ) ) ) ) ) ).
fof(t50_entropy1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v4_partfun3(C) & m2_finseq_1(C, k1_numbers))  =>  ( (r1_xxreal_0(k5_numbers, A) & r1_xxreal_0(k5_numbers, B))  =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(D, k4_finseq_1(C)) & k1_funct_1(C, D)=k3_xcmplx_0(A, B))  => k1_funct_1(k4_entropy1(C), D)=k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(A, B), k3_power(2, A)), k3_xcmplx_0(k3_xcmplx_0(A, B), k3_power(2, B)))) ) ) ) ) ) ) ) ) ) ).
fof(t51_entropy1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v4_partfun3(B) & m2_finseq_1(B, k1_numbers))  =>  (r1_xxreal_0(k5_numbers, A) => k4_entropy1(k10_rvsum_1(B, A))=k4_rvsum_1(k10_rvsum_1(B, k3_xcmplx_0(A, k3_power(2, A))), k10_rvsum_1(k14_rvsum_1(B, k3_entropy1(2, B)), A))) ) ) ) ) ).
fof(t52_entropy1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_matrprob(A) & m2_finseq_1(A, k1_numbers)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k4_finseq_1(A)) => r1_xxreal_0(k1_funct_1(k4_entropy1(A), B), k5_numbers)) ) ) ) ) ).
fof(d8_entropy1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (v2_matrprob(A) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (B=k5_entropy1(A) <=>  (k3_finseq_1(B)=k3_finseq_1(A) &  (k1_matrix_0(B)=k1_matrix_0(A) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => k1_matrprob(k1_numbers, B, C)=k14_rvsum_1(k7_matrix_0(k1_numbers, A, C), k3_entropy1(2, k7_matrix_0(k1_numbers, A, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_entropy1, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrprob(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers))) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k4_finseq_1(A)) => k7_matrix_0(k1_numbers, k5_entropy1(A), B)=k4_entropy1(k7_matrix_0(k1_numbers, A, B))) ) ) ) ) ).
fof(t54_entropy1, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrprob(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers))) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (B=k5_entropy1(A) <=>  (k3_finseq_1(B)=k3_finseq_1(A) &  (k1_matrix_0(B)=k1_matrix_0(A) &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_hidden(k4_tarski(C, D), k2_matrix_0(B)) => k3_matrix_0(k1_numbers, B, C, D)=k3_xcmplx_0(k3_matrix_0(k1_numbers, A, C, D), k3_power(2, k3_matrix_0(k1_numbers, A, C, D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_entropy1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) => k6_entropy1(A)=k4_xcmplx_0(k18_rvsum_1(k4_entropy1(A)))) ) ).
fof(t55_entropy1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_matrprob(A) & m2_finseq_1(A, k1_numbers)) )  => r1_xxreal_0(k5_numbers, k6_entropy1(A))) ) ).
fof(t56_entropy1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_matrprob(A) & m2_finseq_1(A, k1_numbers)) )  =>  ( (? [B] :  (v7_ordinal1(B) &  (r2_tarski(B, k4_finseq_1(A)) & k1_funct_1(A, B)=1) ) )  => k6_entropy1(A)=k5_numbers) ) ) ).
fof(t57_entropy1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_matrprob(A) & m2_finseq_1(A, k1_numbers)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_matrprob(B) & m2_finseq_1(B, k1_numbers)) )  =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  ( (k3_finseq_1(A)=k3_finseq_1(B) &  (k3_finseq_1(C)=k3_finseq_1(A) &  (k3_finseq_1(D)=k3_finseq_1(B) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(A)) =>  ( ~ (r1_xxreal_0(k1_funct_1(A, E), k5_numbers))  &  ( ~ (r1_xxreal_0(k1_funct_1(B, E), k5_numbers))  &  (k1_funct_1(C, E)=k4_xcmplx_0(k3_xcmplx_0(k1_funct_1(A, E), k3_power(2, k1_funct_1(A, E)))) & k1_funct_1(D, E)=k4_xcmplx_0(k3_xcmplx_0(k1_funct_1(A, E), k3_power(2, k1_funct_1(B, E))))) ) ) ) ) ) ) ) )  =>  (r1_xxreal_0(k18_rvsum_1(C), k18_rvsum_1(D)) &  ( ( (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(A)) => k1_funct_1(A, E)=k1_funct_1(B, E)) ) )  => k18_rvsum_1(C)=k18_rvsum_1(D))  &  ( (k18_rvsum_1(C)=k18_rvsum_1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(A)) => k1_funct_1(A, E)=k1_funct_1(B, E)) ) ) )  &  ( ~ ( ( (? [E] :  (v7_ordinal1(E) &  (r2_tarski(E, k4_finseq_1(A)) &  ~ (k1_funct_1(A, E)=k1_funct_1(B, E)) ) ) )  & r1_xxreal_0(k18_rvsum_1(D), k18_rvsum_1(C))) )  &  ~ ( ( ~ (r1_xxreal_0(k18_rvsum_1(D), k18_rvsum_1(C)))  &  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_tarski(E, k4_finseq_1(A)) &  ~ (k1_funct_1(A, E)=k1_funct_1(B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_entropy1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_matrprob(A) & m2_finseq_1(A, k1_numbers)) )  =>  ( (! [B] :  (v7_ordinal1(B) =>  ~ ( (r2_tarski(B, k4_finseq_1(A)) & r1_xxreal_0(k1_funct_1(A, B), k5_numbers)) ) ) )  =>  (r1_xxreal_0(k6_entropy1(A), k3_power(2, k3_finseq_1(A))) &  ( ( (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k4_finseq_1(A)) => k1_funct_1(A, B)=k7_xcmplx_0(1, k3_finseq_1(A))) ) )  => k6_entropy1(A)=k3_power(2, k3_finseq_1(A)))  &  ( (k6_entropy1(A)=k3_power(2, k3_finseq_1(A)) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k4_finseq_1(A)) => k1_funct_1(A, B)=k7_xcmplx_0(1, k3_finseq_1(A))) ) ) )  &  ( ~ ( ( (? [B] :  (v7_ordinal1(B) &  (r2_tarski(B, k4_finseq_1(A)) &  ~ (k1_funct_1(A, B)=k7_xcmplx_0(1, k3_finseq_1(A))) ) ) )  & r1_xxreal_0(k3_power(2, k3_finseq_1(A)), k6_entropy1(A))) )  &  ~ ( ( ~ (r1_xxreal_0(k3_power(2, k3_finseq_1(A)), k6_entropy1(A)))  &  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r2_tarski(B, k4_finseq_1(A)) &  ~ (k1_funct_1(A, B)=k7_xcmplx_0(1, k3_finseq_1(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_entropy1, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrprob(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers))) )  => k2_entropy1(k1_numbers, k5_entropy1(A))=k4_entropy1(k2_entropy1(k1_numbers, A))) ) ).
fof(t60_entropy1, axiom,  (! [A] :  ( (v1_matrprob(A) & m2_finseq_1(A, k1_numbers))  =>  (! [B] :  ( (v1_matrprob(B) & m2_finseq_1(B, k1_numbers))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  (C=k6_matrixr1(k9_matrixr1(A), k10_matrixr1(B)) => k5_matrprob(k5_entropy1(C))=k2_xcmplx_0(k18_rvsum_1(k4_entropy1(A)), k18_rvsum_1(k4_entropy1(B)))) ) ) ) ) ) ) ).
fof(d10_entropy1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  => k7_entropy1(A)=k6_entropy1(k2_entropy1(k1_numbers, A))) ) ).
fof(t61_entropy1, axiom,  (! [A] :  ( (v1_matrprob(A) & m2_finseq_1(A, k1_numbers))  =>  (! [B] :  ( (v1_matrprob(B) & m2_finseq_1(B, k1_numbers))  => k7_entropy1(k6_matrixr1(k9_matrixr1(A), k10_matrixr1(B)))=k2_xcmplx_0(k6_entropy1(A), k6_entropy1(B))) ) ) ) ).
fof(d11_entropy1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (B=k8_entropy1(A) <=>  (k3_finseq_1(B)=k3_finseq_1(A) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => k1_funct_1(B, C)=k6_entropy1(k7_matrix_0(k1_numbers, A, C))) ) ) ) ) ) ) ) ) ).
fof(t62_entropy1, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v6_matrprob(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers))) ) )  =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (B=k8_entropy1(A) <=>  (k3_finseq_1(B)=k3_finseq_1(A) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => k1_funct_1(B, C)=k4_xcmplx_0(k18_rvsum_1(k1_matrprob(k1_numbers, k5_entropy1(A), C)))) ) ) ) ) ) ) ) ) ).
fof(t63_entropy1, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v6_matrprob(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers))) ) )  => k8_entropy1(A)=k6_rvsum_1(k3_matrprob(k5_entropy1(A)))) ) ).
fof(t64_entropy1, axiom,  (! [A] :  ( (v1_matrprob(A) & m2_finseq_1(A, k1_numbers))  =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v6_matrprob(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) ) )  =>  (k3_finseq_1(A)=k3_finseq_1(B) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  (C=k6_matrixr1(k1_entropy1(A), B) => k5_matrprob(k5_entropy1(C))=k2_xcmplx_0(k18_rvsum_1(k4_entropy1(A)), k18_rvsum_1(k14_rvsum_1(A, k3_matrprob(k5_entropy1(B)))))) ) ) ) ) ) ) ) ).
fof(t65_entropy1, axiom,  (! [A] :  ( (v1_matrprob(A) & m2_finseq_1(A, k1_numbers))  =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v6_matrprob(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) ) )  =>  (k3_finseq_1(A)=k3_finseq_1(B) => k7_entropy1(k6_matrixr1(k1_entropy1(A), B))=k2_xcmplx_0(k6_entropy1(A), k18_rvsum_1(k14_rvsum_1(A, k8_entropy1(B))))) ) ) ) ) ).
fof(dt_k1_entropy1, axiom,  (! [A] :  (m1_finseq_1(A, k1_numbers) =>  (v1_matrix_0(k1_entropy1(A)) &  (v2_matrix_0(k1_entropy1(A), k1_numbers, k3_finseq_1(A), k3_finseq_1(A)) &  (v1_entropy1(k1_entropy1(A), k3_finseq_1(A)) & m2_finseq_1(k1_entropy1(A), k3_finseq_2(k1_numbers))) ) ) ) ) ).
fof(dt_k2_entropy1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(A))) )  => m2_finseq_1(k2_entropy1(A, B), A)) ) ).
fof(dt_k3_entropy1, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & m1_finseq_1(B, k1_numbers))  => m2_finseq_1(k3_entropy1(A, B), k1_numbers)) ) ).
fof(dt_k4_entropy1, axiom,  (! [A] :  (m1_finseq_1(A, k1_numbers) => m2_finseq_1(k4_entropy1(A), k1_numbers)) ) ).
fof(dt_k5_entropy1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m1_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (v1_matrix_0(k5_entropy1(A)) & m2_finseq_1(k5_entropy1(A), k3_finseq_2(k1_numbers))) ) ) ).
fof(dt_k6_entropy1, axiom,  (! [A] :  (m1_finseq_1(A, k1_numbers) => v1_xreal_0(k6_entropy1(A))) ) ).
fof(dt_k7_entropy1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m1_finseq_1(A, k3_finseq_2(k1_numbers)))  => v1_xreal_0(k7_entropy1(A))) ) ).
fof(dt_k8_entropy1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m1_finseq_1(A, k3_finseq_2(k1_numbers)))  => m2_finseq_1(k8_entropy1(A), k1_numbers)) ) ).
fof(d1_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (D=k1_enumset1(A, B, C) <=>  (! [E] :  (r2_hidden(E, D) <=>  ~ ( ( ~ (E=A)  &  ( ~ (E=B)  &  ~ (E=C) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (E=k2_enumset1(A, B, C, D) <=>  (! [F] :  (r2_hidden(F, E) <=>  ~ ( ( ~ (F=A)  &  ( ~ (F=B)  &  ( ~ (F=C)  &  ~ (F=D) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (F=k3_enumset1(A, B, C, D, E) <=>  (! [G] :  (r2_hidden(G, F) <=>  ~ ( ( ~ (G=A)  &  ( ~ (G=B)  &  ( ~ (G=C)  &  ( ~ (G=D)  &  ~ (G=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (G=k4_enumset1(A, B, C, D, E, F) <=>  (! [H] :  (r2_hidden(H, G) <=>  ~ ( ( ~ (H=A)  &  ( ~ (H=B)  &  ( ~ (H=C)  &  ( ~ (H=D)  &  ( ~ (H=E)  &  ~ (H=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (H=k5_enumset1(A, B, C, D, E, F, G) <=>  (! [I] :  (r2_hidden(I, H) <=>  ~ ( ( ~ (I=A)  &  ( ~ (I=B)  &  ( ~ (I=C)  &  ( ~ (I=D)  &  ( ~ (I=E)  &  ( ~ (I=F)  &  ~ (I=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  (I=k6_enumset1(A, B, C, D, E, F, G, H) <=>  (! [J] :  (r2_hidden(J, I) <=>  ~ ( ( ~ (J=A)  &  ( ~ (J=B)  &  ( ~ (J=C)  &  ( ~ (J=D)  &  ( ~ (J=E)  &  ( ~ (J=F)  &  ( ~ (J=G)  &  ~ (J=H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  (! [J] :  (J=k7_enumset1(A, B, C, D, E, F, G, H, I) <=>  (! [K] :  (r2_hidden(K, J) <=>  ~ ( ( ~ (K=A)  &  ( ~ (K=B)  &  ( ~ (K=C)  &  ( ~ (K=D)  &  ( ~ (K=E)  &  ( ~ (K=F)  &  ( ~ (K=G)  &  ( ~ (K=H)  &  ~ (K=I) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  (! [J] :  (! [K] :  (K=k8_enumset1(A, B, C, D, E, F, G, H, I, J) <=>  (! [L] :  (r2_hidden(L, K) <=>  ~ ( ( ~ (L=A)  &  ( ~ (L=B)  &  ( ~ (L=C)  &  ( ~ (L=D)  &  ( ~ (L=E)  &  ( ~ (L=F)  &  ( ~ (L=G)  &  ( ~ (L=H)  &  ( ~ (L=I)  &  ~ (L=J) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_enumset1, axiom,  (! [A] :  (! [B] : k2_tarski(A, B)=k2_xboole_0(k1_tarski(A), k1_tarski(B))) ) ).
fof(t2_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] : k1_enumset1(A, B, C)=k2_xboole_0(k1_tarski(A), k2_tarski(B, C))) ) ) ).
fof(t3_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] : k1_enumset1(A, B, C)=k2_xboole_0(k2_tarski(A, B), k1_tarski(C))) ) ) ).
fof(t4_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k2_enumset1(A, B, C, D)=k2_xboole_0(k1_tarski(A), k1_enumset1(B, C, D))) ) ) ) ).
fof(t5_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k2_enumset1(A, B, C, D)=k2_xboole_0(k2_tarski(A, B), k2_tarski(C, D))) ) ) ) ).
fof(t6_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k2_enumset1(A, B, C, D)=k2_xboole_0(k1_enumset1(A, B, C), k1_tarski(D))) ) ) ) ).
fof(t7_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k3_enumset1(A, B, C, D, E)=k2_xboole_0(k1_tarski(A), k2_enumset1(B, C, D, E))) ) ) ) ) ).
fof(t8_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k3_enumset1(A, B, C, D, E)=k2_xboole_0(k2_tarski(A, B), k1_enumset1(C, D, E))) ) ) ) ) ).
fof(t9_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k3_enumset1(A, B, C, D, E)=k2_xboole_0(k1_enumset1(A, B, C), k2_tarski(D, E))) ) ) ) ) ).
fof(t10_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k3_enumset1(A, B, C, D, E)=k2_xboole_0(k2_enumset1(A, B, C, D), k1_tarski(E))) ) ) ) ) ).
fof(t11_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] : k4_enumset1(A, B, C, D, E, F)=k2_xboole_0(k1_tarski(A), k3_enumset1(B, C, D, E, F))) ) ) ) ) ) ).
fof(t12_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] : k4_enumset1(A, B, C, D, E, F)=k2_xboole_0(k2_tarski(A, B), k2_enumset1(C, D, E, F))) ) ) ) ) ) ).
fof(t13_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] : k4_enumset1(A, B, C, D, E, F)=k2_xboole_0(k1_enumset1(A, B, C), k1_enumset1(D, E, F))) ) ) ) ) ) ).
fof(t14_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] : k4_enumset1(A, B, C, D, E, F)=k2_xboole_0(k2_enumset1(A, B, C, D), k2_tarski(E, F))) ) ) ) ) ) ).
fof(t15_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] : k4_enumset1(A, B, C, D, E, F)=k2_xboole_0(k3_enumset1(A, B, C, D, E), k1_tarski(F))) ) ) ) ) ) ).
fof(t16_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] : k5_enumset1(A, B, C, D, E, F, G)=k2_xboole_0(k1_tarski(A), k4_enumset1(B, C, D, E, F, G))) ) ) ) ) ) ) ).
fof(t17_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] : k5_enumset1(A, B, C, D, E, F, G)=k2_xboole_0(k2_tarski(A, B), k3_enumset1(C, D, E, F, G))) ) ) ) ) ) ) ).
fof(t18_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] : k5_enumset1(A, B, C, D, E, F, G)=k2_xboole_0(k1_enumset1(A, B, C), k2_enumset1(D, E, F, G))) ) ) ) ) ) ) ).
fof(t19_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] : k5_enumset1(A, B, C, D, E, F, G)=k2_xboole_0(k2_enumset1(A, B, C, D), k1_enumset1(E, F, G))) ) ) ) ) ) ) ).
fof(t20_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] : k5_enumset1(A, B, C, D, E, F, G)=k2_xboole_0(k3_enumset1(A, B, C, D, E), k2_tarski(F, G))) ) ) ) ) ) ) ).
fof(t21_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] : k5_enumset1(A, B, C, D, E, F, G)=k2_xboole_0(k4_enumset1(A, B, C, D, E, F), k1_tarski(G))) ) ) ) ) ) ) ).
fof(t22_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] : k6_enumset1(A, B, C, D, E, F, G, H)=k2_xboole_0(k1_tarski(A), k5_enumset1(B, C, D, E, F, G, H))) ) ) ) ) ) ) ) ).
fof(t23_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] : k6_enumset1(A, B, C, D, E, F, G, H)=k2_xboole_0(k2_tarski(A, B), k4_enumset1(C, D, E, F, G, H))) ) ) ) ) ) ) ) ).
fof(t24_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] : k6_enumset1(A, B, C, D, E, F, G, H)=k2_xboole_0(k1_enumset1(A, B, C), k3_enumset1(D, E, F, G, H))) ) ) ) ) ) ) ) ).
fof(t25_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] : k6_enumset1(A, B, C, D, E, F, G, H)=k2_xboole_0(k2_enumset1(A, B, C, D), k2_enumset1(E, F, G, H))) ) ) ) ) ) ) ) ).
fof(t26_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] : k6_enumset1(A, B, C, D, E, F, G, H)=k2_xboole_0(k3_enumset1(A, B, C, D, E), k1_enumset1(F, G, H))) ) ) ) ) ) ) ) ).
fof(t27_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] : k6_enumset1(A, B, C, D, E, F, G, H)=k2_xboole_0(k4_enumset1(A, B, C, D, E, F), k2_tarski(G, H))) ) ) ) ) ) ) ) ).
fof(t28_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] : k6_enumset1(A, B, C, D, E, F, G, H)=k2_xboole_0(k5_enumset1(A, B, C, D, E, F, G), k1_tarski(H))) ) ) ) ) ) ) ) ).
fof(t29_enumset1, axiom,  (! [A] : k2_tarski(A, A)=k1_tarski(A)) ).
fof(t30_enumset1, axiom,  (! [A] :  (! [B] : k1_enumset1(A, A, B)=k2_tarski(A, B)) ) ).
fof(t31_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] : k2_enumset1(A, A, B, C)=k1_enumset1(A, B, C)) ) ) ).
fof(t32_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k3_enumset1(A, A, B, C, D)=k2_enumset1(A, B, C, D)) ) ) ) ).
fof(t33_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k4_enumset1(A, A, B, C, D, E)=k3_enumset1(A, B, C, D, E)) ) ) ) ) ).
fof(t34_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] : k5_enumset1(A, A, B, C, D, E, F)=k4_enumset1(A, B, C, D, E, F)) ) ) ) ) ) ).
fof(t35_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] : k6_enumset1(A, A, B, C, D, E, F, G)=k5_enumset1(A, B, C, D, E, F, G)) ) ) ) ) ) ) ).
fof(t36_enumset1, axiom,  (! [A] : k1_enumset1(A, A, A)=k1_tarski(A)) ).
fof(t37_enumset1, axiom,  (! [A] :  (! [B] : k2_enumset1(A, A, A, B)=k2_tarski(A, B)) ) ).
fof(t38_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] : k3_enumset1(A, A, A, B, C)=k1_enumset1(A, B, C)) ) ) ).
fof(t39_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k4_enumset1(A, A, A, B, C, D)=k2_enumset1(A, B, C, D)) ) ) ) ).
fof(t40_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k5_enumset1(A, A, A, B, C, D, E)=k3_enumset1(A, B, C, D, E)) ) ) ) ) ).
fof(t41_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] : k6_enumset1(A, A, A, B, C, D, E, F)=k4_enumset1(A, B, C, D, E, F)) ) ) ) ) ) ).
fof(t42_enumset1, axiom,  (! [A] : k2_enumset1(A, A, A, A)=k1_tarski(A)) ).
fof(t43_enumset1, axiom,  (! [A] :  (! [B] : k3_enumset1(A, A, A, A, B)=k2_tarski(A, B)) ) ).
fof(t44_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] : k4_enumset1(A, A, A, A, B, C)=k1_enumset1(A, B, C)) ) ) ).
fof(t45_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k5_enumset1(A, A, A, A, B, C, D)=k2_enumset1(A, B, C, D)) ) ) ) ).
fof(t46_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k6_enumset1(A, A, A, A, B, C, D, E)=k3_enumset1(A, B, C, D, E)) ) ) ) ) ).
fof(t47_enumset1, axiom,  (! [A] : k3_enumset1(A, A, A, A, A)=k1_tarski(A)) ).
fof(t48_enumset1, axiom,  (! [A] :  (! [B] : k4_enumset1(A, A, A, A, A, B)=k2_tarski(A, B)) ) ).
fof(t49_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] : k5_enumset1(A, A, A, A, A, B, C)=k1_enumset1(A, B, C)) ) ) ).
fof(t50_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k6_enumset1(A, A, A, A, A, B, C, D)=k2_enumset1(A, B, C, D)) ) ) ) ).
fof(t51_enumset1, axiom,  (! [A] : k4_enumset1(A, A, A, A, A, A)=k1_tarski(A)) ).
fof(t52_enumset1, axiom,  (! [A] :  (! [B] : k5_enumset1(A, A, A, A, A, A, B)=k2_tarski(A, B)) ) ).
fof(t53_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] : k6_enumset1(A, A, A, A, A, A, B, C)=k1_enumset1(A, B, C)) ) ) ).
fof(t54_enumset1, axiom,  (! [A] : k5_enumset1(A, A, A, A, A, A, A)=k1_tarski(A)) ).
fof(t55_enumset1, axiom,  (! [A] :  (! [B] : k6_enumset1(A, A, A, A, A, A, A, B)=k2_tarski(A, B)) ) ).
fof(t56_enumset1, axiom,  (! [A] : k6_enumset1(A, A, A, A, A, A, A, A)=k1_tarski(A)) ).
fof(t57_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] : k1_enumset1(A, B, C)=k1_enumset1(A, C, B)) ) ) ).
fof(t58_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] : k1_enumset1(A, B, C)=k1_enumset1(B, A, C)) ) ) ).
fof(t59_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] : k1_enumset1(A, B, C)=k1_enumset1(B, C, A)) ) ) ).
fof(t60_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] : k1_enumset1(A, B, C)=k1_enumset1(C, B, A)) ) ) ).
fof(t61_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k2_enumset1(A, B, C, D)=k2_enumset1(A, B, D, C)) ) ) ) ).
fof(t62_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k2_enumset1(A, B, C, D)=k2_enumset1(A, C, B, D)) ) ) ) ).
fof(t63_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k2_enumset1(A, B, C, D)=k2_enumset1(A, C, D, B)) ) ) ) ).
fof(t64_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k2_enumset1(A, B, C, D)=k2_enumset1(A, D, C, B)) ) ) ) ).
fof(t65_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k2_enumset1(A, B, C, D)=k2_enumset1(B, A, C, D)) ) ) ) ).
fof(t66_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k2_enumset1(A, B, C, D)=k2_enumset1(B, A, D, C)) ) ) ) ).
fof(t67_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k2_enumset1(A, B, C, D)=k2_enumset1(B, C, A, D)) ) ) ) ).
fof(t68_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k2_enumset1(A, B, C, D)=k2_enumset1(B, C, D, A)) ) ) ) ).
fof(t69_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k2_enumset1(A, B, C, D)=k2_enumset1(B, D, A, C)) ) ) ) ).
fof(t70_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k2_enumset1(A, B, C, D)=k2_enumset1(B, D, C, A)) ) ) ) ).
fof(t71_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k2_enumset1(A, B, C, D)=k2_enumset1(C, B, A, D)) ) ) ) ).
fof(t72_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k2_enumset1(A, B, C, D)=k2_enumset1(C, B, D, A)) ) ) ) ).
fof(t73_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k2_enumset1(A, B, C, D)=k2_enumset1(C, D, A, B)) ) ) ) ).
fof(t74_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k2_enumset1(A, B, C, D)=k2_enumset1(C, D, B, A)) ) ) ) ).
fof(t75_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k2_enumset1(A, B, C, D)=k2_enumset1(D, B, C, A)) ) ) ) ).
fof(t76_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k2_enumset1(A, B, C, D)=k2_enumset1(D, C, B, A)) ) ) ) ).
fof(t77_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] : k7_enumset1(A, B, C, D, E, F, G, H, I)=k2_xboole_0(k1_tarski(A), k6_enumset1(B, C, D, E, F, G, H, I))) ) ) ) ) ) ) ) ) ).
fof(t78_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] : k7_enumset1(A, B, C, D, E, F, G, H, I)=k2_xboole_0(k2_tarski(A, B), k5_enumset1(C, D, E, F, G, H, I))) ) ) ) ) ) ) ) ) ).
fof(t79_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] : k7_enumset1(A, B, C, D, E, F, G, H, I)=k2_xboole_0(k1_enumset1(A, B, C), k4_enumset1(D, E, F, G, H, I))) ) ) ) ) ) ) ) ) ).
fof(t80_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] : k7_enumset1(A, B, C, D, E, F, G, H, I)=k2_xboole_0(k2_enumset1(A, B, C, D), k3_enumset1(E, F, G, H, I))) ) ) ) ) ) ) ) ) ).
fof(t81_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] : k7_enumset1(A, B, C, D, E, F, G, H, I)=k2_xboole_0(k3_enumset1(A, B, C, D, E), k2_enumset1(F, G, H, I))) ) ) ) ) ) ) ) ) ).
fof(t82_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] : k7_enumset1(A, B, C, D, E, F, G, H, I)=k2_xboole_0(k4_enumset1(A, B, C, D, E, F), k1_enumset1(G, H, I))) ) ) ) ) ) ) ) ) ).
fof(t83_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] : k7_enumset1(A, B, C, D, E, F, G, H, I)=k2_xboole_0(k5_enumset1(A, B, C, D, E, F, G), k2_tarski(H, I))) ) ) ) ) ) ) ) ) ).
fof(t84_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] : k7_enumset1(A, B, C, D, E, F, G, H, I)=k2_xboole_0(k6_enumset1(A, B, C, D, E, F, G, H), k1_tarski(I))) ) ) ) ) ) ) ) ) ).
fof(t85_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  (! [J] : k8_enumset1(A, B, C, D, E, F, G, H, I, J)=k2_xboole_0(k7_enumset1(A, B, C, D, E, F, G, H, I), k1_tarski(J))) ) ) ) ) ) ) ) ) ) ).
fof(t86_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (A=B)  &  ( ~ (A=C)  &  ~ (k4_xboole_0(k1_enumset1(A, B, C), k1_tarski(A))=k2_tarski(B, C)) ) ) ) ) ) ) ).
fof(t87_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] : k2_xboole_0(k2_tarski(B, A), k2_tarski(C, A))=k1_enumset1(A, B, C)) ) ) ).
fof(fc1_eqrel_1, axiom,  (! [A] :  (v1_relat_2(k1_eqrel_1(A)) & v1_partfun1(k1_eqrel_1(A), A)) ) ).
fof(fc2_eqrel_1, axiom,  (! [A] :  (v3_relat_2(k1_eqrel_1(A)) &  (v8_relat_2(k1_eqrel_1(A)) & v1_partfun1(k1_eqrel_1(A), A)) ) ) ).
fof(cc1_eqrel_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  (m1_eqrel_1(B, A) => v1_xboole_0(B)) ) ) ) ).
fof(rc1_eqrel_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (? [B] :  (m1_eqrel_1(B, A) &  (v1_xboole_0(B) &  (v1_zfmisc_1(B) &  (v1_subset_1(B, k1_zfmisc_1(A)) &  (v1_setfam_1(B) &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v3_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_relat_2(B) &  (v2_relat_2(B) &  (v3_relat_2(B) &  (v4_relat_2(B) &  (v5_relat_2(B) &  (v6_relat_2(B) &  (v7_relat_2(B) &  (v8_relat_2(B) &  (v1_funct_1(B) &  (v2_funct_1(B) &  (v3_funct_1(B) &  (v4_funct_1(B) &  (v1_xxreal_0(B) &  (v1_xreal_0(B) &  (v1_ordinal1(B) &  (v2_ordinal1(B) &  (v3_ordinal1(B) &  (v5_ordinal1(B) &  (v6_ordinal1(B) &  (v7_ordinal1(B) &  (v9_ordinal1(B) &  ( ~ (v10_ordinal1(B))  &  (v1_xcmplx_0(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) & v3_finseq_1(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc2_eqrel_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(cc3_eqrel_1, axiom,  (! [A] :  (! [B] :  (m1_eqrel_1(B, A) => v1_setfam_1(B)) ) ) ).
fof(fc3_eqrel_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  =>  ~ (v1_xboole_0(k7_eqrel_1(A, B))) ) ) ).
fof(fc4_eqrel_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  => v1_setfam_1(k7_eqrel_1(A, B))) ) ).
fof(rc2_eqrel_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(k9_setfam_1(A)))) & v1_eqrel_1(B, A)) ) ) ).
fof(rc3_eqrel_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_eqrel_1(B, A) &  ( ~ (v1_xboole_0(B))  &  (v1_setfam_1(B) &  ~ (v10_ordinal1(B)) ) ) ) ) ) ) ).
fof(rc4_eqrel_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(k9_setfam_1(A)))) &  ( ~ (v1_xboole_0(B))  & v1_eqrel_1(B, A)) ) ) ) ).
fof(d1_eqrel_1, axiom,  (! [A] : k1_eqrel_1(A)=k2_zfmisc_1(A, A)) ).
fof(t1_eqrel_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) => r2_relset_1(A, A, k3_eqrel_1(A, k1_eqrel_1(A), B), k1_eqrel_1(A))) ) ) ).
fof(t2_eqrel_1, axiom,  (! [A] :  (r1_relat_2(k6_partfun1(A), A) &  (r3_relat_2(k6_partfun1(A), A) & r8_relat_2(k6_partfun1(A), A)) ) ) ).
fof(t3_eqrel_1, axiom,  (! [A] :  (v3_relat_2(k6_partfun1(A)) &  (v8_relat_2(k6_partfun1(A)) &  (v1_partfun1(k6_partfun1(A), A) & m1_subset_1(k6_partfun1(A), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ).
fof(t4_eqrel_1, axiom,  (! [A] :  (v3_relat_2(k1_eqrel_1(A)) &  (v8_relat_2(k1_eqrel_1(A)) &  (v1_partfun1(k1_eqrel_1(A), A) & m1_subset_1(k1_eqrel_1(A), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ).
fof(t5_eqrel_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_2(C) &  (v1_partfun1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (r2_hidden(B, A) => r2_hidden(k4_tarski(B, B), C)) ) ) ) ) ).
fof(t6_eqrel_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v3_relat_2(D) &  (v1_partfun1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (r2_hidden(k4_tarski(B, C), D) => r2_hidden(k4_tarski(C, B), D)) ) ) ) ) ) ).
fof(t7_eqrel_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v8_relat_2(C) &  (v1_partfun1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (! [D] :  (! [E] :  ( (r2_hidden(k4_tarski(D, E), C) & r2_hidden(k4_tarski(E, B), C))  => r2_hidden(k4_tarski(D, B), C)) ) ) ) ) ) ) ).
fof(t8_eqrel_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  ~ ( ( (? [C] : r2_tarski(C, A))  & B=k1_xboole_0) ) ) ) ) ).
fof(t9_eqrel_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  ( (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  <=>  (v1_relat_2(B) &  (v3_relat_2(B) &  (v8_relat_2(B) & k1_relat_1(B)=A) ) ) ) ) ) ) ).
fof(t10_eqrel_1, axiom,  (! [A] :  (! [B] :  ( (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  => r2_relset_1(A, A, k4_eqrel_1(A, k6_partfun1(A), B), k6_partfun1(A))) ) ) ).
fof(t11_eqrel_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, A)))) =>  ( (! [C] :  (r2_tarski(C, B) =>  (v3_relat_2(C) &  (v8_relat_2(C) &  (v1_partfun1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) )  =>  (B=k1_xboole_0 |  (v3_relat_2(k6_setfam_1(k2_zfmisc_1(A, A), B)) &  (v8_relat_2(k6_setfam_1(k2_zfmisc_1(A, A), B)) &  (v1_partfun1(k6_setfam_1(k2_zfmisc_1(A, A), B), A) & m1_subset_1(k6_setfam_1(k2_zfmisc_1(A, A), B), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ) ) ) ).
fof(t12_eqrel_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (? [C] :  ( (v3_relat_2(C) &  (v8_relat_2(C) &  (v1_partfun1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  &  (r1_relset_1(A, A, B, C) &  (! [D] :  ( (v3_relat_2(D) &  (v8_relat_2(D) &  (v1_partfun1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (r1_relset_1(A, A, B, D) => r1_relset_1(A, A, C, D)) ) ) ) ) ) ) ) ) ).
fof(d2_eqrel_1, axiom,  (! [A] :  (! [B] :  ( (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  ( (v3_relat_2(C) &  (v8_relat_2(C) &  (v1_partfun1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [D] :  ( (v3_relat_2(D) &  (v8_relat_2(D) &  (v1_partfun1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (D=k5_eqrel_1(A, B, C) <=>  (r1_relset_1(A, A, k3_eqrel_1(A, B, C), D) &  (! [E] :  ( (v3_relat_2(E) &  (v8_relat_2(E) &  (v1_partfun1(E, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (r1_relset_1(A, A, k3_eqrel_1(A, B, C), E) => r1_relset_1(A, A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_eqrel_1, axiom,  (! [A] :  (! [B] :  ( (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  ( (v3_relat_2(C) &  (v8_relat_2(C) &  (v1_partfun1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [D] :  ( (v3_relat_2(D) &  (v8_relat_2(D) &  (v1_partfun1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  => r2_relset_1(A, A, k5_eqrel_1(A, k5_eqrel_1(A, B, C), D), k5_eqrel_1(A, B, k5_eqrel_1(A, C, D)))) ) ) ) ) ) ) ).
fof(t14_eqrel_1, axiom,  (! [A] :  (! [B] :  ( (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  => r2_relset_1(A, A, k5_eqrel_1(A, B, B), B)) ) ) ).
fof(t15_eqrel_1, axiom,  (! [A] :  (! [B] :  ( (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  ( (v3_relat_2(C) &  (v8_relat_2(C) &  (v1_partfun1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  => r2_relset_1(A, A, k5_eqrel_1(A, B, C), k5_eqrel_1(A, C, B))) ) ) ) ) ).
fof(t16_eqrel_1, axiom,  (! [A] :  (! [B] :  ( (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  ( (v3_relat_2(C) &  (v8_relat_2(C) &  (v1_partfun1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  => r2_relset_1(A, A, k4_eqrel_1(A, B, k5_eqrel_1(A, B, C)), B)) ) ) ) ) ).
fof(t17_eqrel_1, axiom,  (! [A] :  (! [B] :  ( (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  ( (v3_relat_2(C) &  (v8_relat_2(C) &  (v1_partfun1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  => r2_relset_1(A, A, k5_eqrel_1(A, B, k4_eqrel_1(A, B, C)), B)) ) ) ) ) ).
fof(t18_eqrel_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  (r2_hidden(B, k9_relat_1(C, A)) <=> r2_hidden(k4_tarski(A, B), C)) ) ) ) ) ).
fof(t19_eqrel_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v3_relat_2(D) &  (v1_partfun1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (r2_hidden(C, k6_eqrel_1(A, A, D, B)) <=> r2_hidden(k4_tarski(C, B), D)) ) ) ) ) ) ).
fof(t20_eqrel_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_2(B) &  (v3_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  (r2_hidden(C, A) => r2_hidden(C, k6_eqrel_1(A, A, B, C))) ) ) ) ) ).
fof(t21_eqrel_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_2(B) &  (v3_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  ~ ( (r2_hidden(C, A) &  (! [D] :  ~ (r2_hidden(C, k6_eqrel_1(A, A, B, D))) ) ) ) ) ) ) ) ).
fof(t22_eqrel_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (v1_relat_2(E) &  (v3_relat_2(E) &  (v8_relat_2(E) &  (v1_partfun1(E, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  =>  ( (r2_hidden(C, k6_eqrel_1(A, A, E, B)) & r2_hidden(D, k6_eqrel_1(A, A, E, B)))  => r2_hidden(k4_tarski(C, D), E)) ) ) ) ) ) ) ).
fof(t23_eqrel_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v3_relat_2(C) &  (v8_relat_2(C) &  (v1_partfun1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [D] :  (r2_hidden(D, A) =>  (r2_hidden(B, k6_eqrel_1(A, A, C, D)) <=> k6_eqrel_1(A, A, C, D)=k6_eqrel_1(A, A, C, B)) ) ) ) ) ) ) ).
fof(t24_eqrel_1, axiom,  (! [A] :  (! [B] :  ( (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  (! [D] :  ~ ( (r2_hidden(D, A) &  ( ~ (k6_eqrel_1(A, A, B, C)=k6_eqrel_1(A, A, B, D))  &  ~ (r1_xboole_0(k6_eqrel_1(A, A, B, C), k6_eqrel_1(A, A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t25_eqrel_1, axiom,  (! [A] :  (! [B] :  (r2_hidden(B, A) => k6_eqrel_1(A, A, k6_partfun1(A), B)=k1_tarski(B)) ) ) ).
fof(t26_eqrel_1, axiom,  (! [A] :  (! [B] :  (r2_hidden(B, A) => k6_eqrel_1(A, A, k1_eqrel_1(A), B)=A) ) ) ).
fof(t27_eqrel_1, axiom,  (! [A] :  (! [B] :  ( (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  ( (? [C] : k6_eqrel_1(A, A, B, C)=A)  => r2_relset_1(A, A, B, k1_eqrel_1(A))) ) ) ) ).
fof(t28_eqrel_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v3_relat_2(D) &  (v8_relat_2(D) &  (v1_partfun1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [E] :  ( (v3_relat_2(E) &  (v8_relat_2(E) &  (v1_partfun1(E, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (r2_hidden(B, A) =>  (r2_hidden(k4_tarski(B, C), k5_eqrel_1(A, D, E)) <=>  (? [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) )  &  (r1_xxreal_0(1, k3_finseq_1(F)) &  (B=k1_funct_1(F, 1) &  (C=k1_funct_1(F, k3_finseq_1(F)) &  (! [G] :  (v7_ordinal1(G) =>  (r1_xxreal_0(1, G) =>  (r1_xxreal_0(k3_finseq_1(F), G) | r2_hidden(k4_tarski(k1_funct_1(F, G), k1_funct_1(F, k1_nat_1(G, 1))), k3_eqrel_1(A, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_eqrel_1, axiom,  (! [A] :  (! [B] :  ( (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  ( (v3_relat_2(C) &  (v8_relat_2(C) &  (v1_partfun1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [D] :  ( (v3_relat_2(D) &  (v8_relat_2(D) &  (v1_partfun1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (r2_relset_1(A, A, D, k3_eqrel_1(A, B, C)) =>  (! [E] :  ~ ( (r2_hidden(E, A) &  ( ~ (k6_eqrel_1(A, A, D, E)=k6_eqrel_1(A, A, B, E))  &  ~ (k6_eqrel_1(A, A, D, E)=k6_eqrel_1(A, A, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_eqrel_1, axiom,  (! [A] :  (! [B] :  ( (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  ( (v3_relat_2(C) &  (v8_relat_2(C) &  (v1_partfun1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  ~ ( (r2_relset_1(A, A, k3_eqrel_1(A, B, C), k1_eqrel_1(A)) &  ( ~ (r2_relset_1(A, A, B, k1_eqrel_1(A)))  &  ~ (r2_relset_1(A, A, C, k1_eqrel_1(A))) ) ) ) ) ) ) ) ) ).
fof(d3_eqrel_1, axiom,  (! [A] :  (! [B] :  ( (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (C=k7_eqrel_1(A, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (r2_tarski(D, C) <=>  (? [E] :  (r2_hidden(E, A) & D=k6_eqrel_1(A, A, B, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_eqrel_1, axiom,  (! [A] :  (! [B] :  ( (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (A=k1_xboole_0 => k7_eqrel_1(A, B)=k1_xboole_0) ) ) ) ).
fof(d4_eqrel_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (m1_eqrel_1(B, A) <=>  (k5_setfam_1(A, B)=A &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (r2_tarski(C, B) =>  ( ~ (C=k1_xboole_0)  &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  ~ ( (r2_tarski(D, B) &  ( ~ (C=D)  &  ~ (r1_xboole_0(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_eqrel_1, axiom,  (! [A] :  (m1_eqrel_1(A, k1_xboole_0) => A=k1_xboole_0) ) ).
fof(t33_eqrel_1, axiom,  (! [A] :  (! [B] :  ( (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  => m1_eqrel_1(k7_eqrel_1(A, B), A)) ) ) ).
fof(t34_eqrel_1, axiom,  (! [A] :  (! [B] :  (m1_eqrel_1(B, A) =>  (? [C] :  ( (v3_relat_2(C) &  (v8_relat_2(C) &  (v1_partfun1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  & B=k7_eqrel_1(A, C)) ) ) ) ) ).
fof(t35_eqrel_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v3_relat_2(C) &  (v8_relat_2(C) &  (v1_partfun1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [D] :  (r2_hidden(D, A) =>  (r2_hidden(k4_tarski(D, B), C) <=> k6_eqrel_1(A, A, C, D)=k6_eqrel_1(A, A, C, B)) ) ) ) ) ) ) ).
fof(t36_eqrel_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v3_relat_2(C) &  (v8_relat_2(C) &  (v1_partfun1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  ~ ( (r2_hidden(B, k7_eqrel_1(A, C)) &  (! [D] :  (m1_subset_1(D, A) =>  ~ (B=k6_eqrel_1(A, A, C, D)) ) ) ) ) ) ) ) ) ).
fof(d5_eqrel_1, axiom,  (! [A] : k10_eqrel_1(A)=k8_eqrel_1(A, k6_partfun1(A))) ).
fof(d6_eqrel_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (D=k12_eqrel_1(A, B, C) <=>  (r2_tarski(B, D) & r2_tarski(D, C)) ) ) ) ) ) ) ) ) ) ).
fof(t38_eqrel_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_eqrel_1(C, A) =>  ( (! [D] :  (m1_subset_1(D, A) => k12_eqrel_1(A, D, B)=k12_eqrel_1(A, D, C)) )  => B=C) ) ) ) ) ) ) ).
fof(t39_eqrel_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => m1_eqrel_1(k1_tarski(A), A)) ) ).
fof(d7_eqrel_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(k9_setfam_1(A)))) =>  (v1_eqrel_1(B, A) <=>  (! [C] :  (r2_tarski(C, B) => m1_eqrel_1(C, A)) ) ) ) ) ) ).
fof(t40_eqrel_1, axiom,  (! [A] :  (! [B] :  (m1_eqrel_1(B, A) =>  (v1_eqrel_1(k6_domain_1(k1_zfmisc_1(k1_zfmisc_1(A)), B), A) & m1_subset_1(k6_domain_1(k1_zfmisc_1(k1_zfmisc_1(A)), B), k1_zfmisc_1(k1_zfmisc_1(k9_setfam_1(A))))) ) ) ) ).
fof(t41_eqrel_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  ( ~ (r1_xboole_0(k12_eqrel_1(A, C, B), k12_eqrel_1(A, D, B)))  => k12_eqrel_1(A, C, B)=k12_eqrel_1(A, D, B)) ) ) ) ) ) ) ) ) ).
fof(t42_eqrel_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_eqrel_1(C, B) =>  ~ ( (r2_tarski(A, C) &  (! [D] :  (m1_subset_1(D, B) =>  ~ (A=k12_eqrel_1(B, D, C)) ) ) ) ) ) ) ) ) ) ).
fof(t43_eqrel_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => k7_subset_1(A, k5_setfam_1(A, B), k3_tarski(C))=k5_setfam_1(A, k7_subset_1(k1_zfmisc_1(A), B, C))) ) ) ) ) ) ).
fof(t44_eqrel_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (r2_tarski(B, C) => k5_setfam_1(A, k7_subset_1(k1_zfmisc_1(A), C, k6_domain_1(k1_zfmisc_1(A), B)))=k6_subset_1(A, B)) ) ) ) ) ) ) ).
fof(t45_eqrel_1, axiom, m1_eqrel_1(k1_xboole_0, k1_xboole_0)).
fof(t46_eqrel_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_tarski(A, k8_relat_1(C, B)) => r1_tarski(k7_relat_1(C, A), B)) ) ) ) ) ).
fof(t47_eqrel_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r1_tarski(A, k2_zfmisc_1(B, C)) => k1_funct_1(k1_funct_3(k9_funct_3(B, C)), A)=k7_relset_1(k2_zfmisc_1(B, C), B, k9_funct_3(B, C), A)) ) ) ) ).
fof(t48_eqrel_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r1_tarski(A, k2_zfmisc_1(B, C)) => k1_funct_1(k1_funct_3(k10_funct_3(B, C)), A)=k7_relset_1(k2_zfmisc_1(B, C), C, k10_funct_3(B, C), A)) ) ) ) ).
fof(t49_eqrel_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) =>  ( ~ (k8_mcart_1(A, B, C, D)=k1_xboole_0)  =>  (k7_relset_1(k2_zfmisc_1(A, B), A, k9_funct_3(A, B), k8_mcart_1(A, B, C, D))=C & k7_relset_1(k2_zfmisc_1(A, B), B, k10_funct_3(A, B), k8_mcart_1(A, B, C, D))=D) ) ) ) ) ) ) ) ).
fof(t50_eqrel_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) =>  ( ~ (k8_mcart_1(A, B, C, D)=k1_xboole_0)  =>  (k1_funct_1(k1_funct_3(k9_funct_3(A, B)), k8_mcart_1(A, B, C, D))=C & k1_funct_1(k1_funct_3(k10_funct_3(A, B)), k8_mcart_1(A, B, C, D))=D) ) ) ) ) ) ) ) ).
fof(t51_eqrel_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B)))) =>  ( (! [E] :  (r2_tarski(E, D) =>  (r1_tarski(E, C) &  (? [F] :  (m1_subset_1(F, k1_zfmisc_1(A)) &  (? [G] :  (m1_subset_1(G, k1_zfmisc_1(B)) & E=k8_mcart_1(A, B, F, G)) ) ) ) ) ) )  => r1_tarski(k2_zfmisc_1(k3_tarski(k7_relat_1(k1_funct_3(k9_funct_3(A, B)), D)), k1_setfam_1(k7_relat_1(k1_funct_3(k10_funct_3(A, B)), D))), C)) ) ) ) ) ) ) ).
fof(t52_eqrel_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B)))) =>  ( (! [E] :  (r2_tarski(E, D) =>  (r1_tarski(E, C) &  (? [F] :  (m1_subset_1(F, k1_zfmisc_1(A)) &  (? [G] :  (m1_subset_1(G, k1_zfmisc_1(B)) & E=k8_mcart_1(A, B, F, G)) ) ) ) ) ) )  => r1_tarski(k2_zfmisc_1(k1_setfam_1(k7_relat_1(k1_funct_3(k9_funct_3(A, B)), D)), k3_tarski(k7_relat_1(k1_funct_3(k10_funct_3(A, B)), D))), C)) ) ) ) ) ) ) ).
fof(t53_eqrel_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(A))) => k5_setfam_1(B, k7_relset_1(k1_zfmisc_1(A), k1_zfmisc_1(B), k2_funct_3(A, B, C), D))=k7_relset_1(A, B, C, k5_setfam_1(A, D))) ) ) ) ) ) ) ).
fof(t55_eqrel_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (k5_setfam_1(A, B)=A =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (D=k3_tarski(C) => r1_tarski(k3_subset_1(A, D), k3_tarski(k3_subset_1(B, C)))) ) ) ) ) ) ) ) ) ).
fof(t56_eqrel_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  =>  ~ ( ( (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) =>  (k3_funct_2(A, B, D, F)=k3_funct_2(A, B, D, G) => k3_funct_2(A, C, E, F)=k3_funct_2(A, C, E, G)) ) ) ) )  &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, B, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  ~ (r2_funct_2(A, C, k1_partfun1(A, B, B, C, D, F), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_eqrel_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, B, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  => r1_tarski(k8_relset_1(A, B, E, k6_domain_1(B, D)), k8_relset_1(A, C, k1_partfun1(A, B, B, C, E, F), k6_domain_1(C, k3_funct_2(B, C, F, D))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_eqrel_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, C) => k2_binop_1(A, C, k2_zfmisc_1(B, C), k16_funct_3(A, C, B, C, D, k6_partfun1(C)), E, F)=k1_domain_1(B, C, k3_funct_2(A, B, D, E), F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_eqrel_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(C)) => r2_relset_1(B, C, k7_relset_1(k2_zfmisc_1(A, C), k2_zfmisc_1(B, C), k16_funct_3(A, C, B, C, D, k6_partfun1(C)), k8_mcart_1(A, C, E, F)), k8_mcart_1(B, C, k7_relset_1(A, B, D, E), F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_eqrel_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  (m1_subset_1(E, B) =>  (! [F] :  (m1_subset_1(F, C) => r2_relset_1(A, C, k8_relset_1(k2_zfmisc_1(A, C), k2_zfmisc_1(B, C), k16_funct_3(A, C, B, C, D, k6_partfun1(C)), k6_domain_1(k2_zfmisc_1(B, C), k1_domain_1(B, C, E, F))), k8_mcart_1(A, C, k8_relset_1(A, B, D, k6_domain_1(B, E)), k6_domain_1(C, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_eqrel_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => m1_subset_1(k3_tarski(C), k1_zfmisc_1(A))) ) ) ) ) ) ).
fof(t62_eqrel_1, axiom,  (! [A] :  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) => k3_tarski(k9_subset_1(B, C, D))=k3_xboole_0(k3_tarski(C), k3_tarski(D))) ) ) ) ) ) ) ).
fof(t63_eqrel_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (D=k3_tarski(C) => k3_subset_1(A, D)=k3_tarski(k3_subset_1(B, C))) ) ) ) ) ) ) ) ) ).
fof(t64_eqrel_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  ~ (v1_xboole_0(k8_eqrel_1(A, B))) ) ) ) ) ).
fof(d9_eqrel_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_eqrel_1(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (C=k14_eqrel_1(A, B) <=>  (! [D] :  (m1_subset_1(D, A) => r2_tarski(D, k3_funct_2(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t65_eqrel_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_eqrel_1(B, A))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (r2_tarski(C, D) => D=k3_funct_2(A, B, k14_eqrel_1(A, B), C)) ) ) ) ) ) ) ) ) ).
fof(t66_eqrel_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_eqrel_1(B, A))  =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(A), B) => C=k8_relset_1(A, B, k14_eqrel_1(A, B), k6_domain_1(B, C))) ) ) ) ) ) ).
fof(t67_eqrel_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_eqrel_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => k8_relset_1(A, B, k14_eqrel_1(A, B), C)=k3_tarski(C)) ) ) ) ) ) ).
fof(t68_eqrel_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_eqrel_1(B, A))  =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(A), B) =>  (? [D] :  (m1_subset_1(D, A) & k3_funct_2(A, B, k14_eqrel_1(A, B), D)=C) ) ) ) ) ) ) ) ).
fof(t69_eqrel_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_eqrel_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  ( (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (r2_tarski(D, B) =>  (r1_xboole_0(D, C) | r1_tarski(D, C)) ) ) )  => C=k8_relset_1(A, B, k14_eqrel_1(A, B), k7_relset_1(A, B, k14_eqrel_1(A, B), C))) ) ) ) ) ) ) ).
fof(t70_eqrel_1, axiom,  (! [A] :  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (! [D] :  (! [E] :  ( (r2_tarski(C, D) &  (r2_tarski(D, B) &  (r2_tarski(C, E) & r2_tarski(E, B)) ) )  => D=E) ) ) ) ) ) ) ).
fof(s1_eqrel_1, axiom,  ( ( (! [A] :  (r2_hidden(A, f1_s1_eqrel_1) => p1_s1_eqrel_1(A, A)) )  &  ( (! [A] :  (! [B] :  (p1_s1_eqrel_1(A, B) => p1_s1_eqrel_1(B, A)) ) )  &  (! [A] :  (! [B] :  (! [C] :  ( (p1_s1_eqrel_1(A, B) & p1_s1_eqrel_1(B, C))  => p1_s1_eqrel_1(A, C)) ) ) ) ) )  =>  (? [A] :  ( (v3_relat_2(A) &  (v8_relat_2(A) &  (v1_partfun1(A, f1_s1_eqrel_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(f1_s1_eqrel_1, f1_s1_eqrel_1)))) ) )  &  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(B, C), A) <=>  (r2_hidden(B, f1_s1_eqrel_1) &  (r2_hidden(C, f1_s1_eqrel_1) & p1_s1_eqrel_1(B, C)) ) ) ) ) ) ) ) ).
fof(dt_k1_eqrel_1, axiom,  (! [A] : m1_subset_1(k1_eqrel_1(A), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ).
fof(dt_k2_eqrel_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => m1_subset_1(k2_eqrel_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ).
fof(commutativity_k2_eqrel_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => k2_eqrel_1(A, B, C)=k2_eqrel_1(A, C, B)) ) ).
fof(idempotence_k2_eqrel_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => k2_eqrel_1(A, B, B)=B) ) ).
fof(redefinition_k2_eqrel_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => k2_eqrel_1(A, B, C)=k3_xboole_0(B, C)) ) ).
fof(dt_k3_eqrel_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => m1_subset_1(k3_eqrel_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ).
fof(commutativity_k3_eqrel_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => k3_eqrel_1(A, B, C)=k3_eqrel_1(A, C, B)) ) ).
fof(idempotence_k3_eqrel_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => k3_eqrel_1(A, B, B)=B) ) ).
fof(redefinition_k3_eqrel_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => k3_eqrel_1(A, B, C)=k2_xboole_0(B, C)) ) ).
fof(dt_k4_eqrel_1, axiom,  (! [A, B, C] :  ( ( (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  &  (v3_relat_2(C) &  (v8_relat_2(C) &  (v1_partfun1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  =>  (v3_relat_2(k4_eqrel_1(A, B, C)) &  (v8_relat_2(k4_eqrel_1(A, B, C)) &  (v1_partfun1(k4_eqrel_1(A, B, C), A) & m1_subset_1(k4_eqrel_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ).
fof(commutativity_k4_eqrel_1, axiom,  (! [A, B, C] :  ( ( (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  &  (v3_relat_2(C) &  (v8_relat_2(C) &  (v1_partfun1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  => k4_eqrel_1(A, B, C)=k4_eqrel_1(A, C, B)) ) ).
fof(idempotence_k4_eqrel_1, axiom,  (! [A, B, C] :  ( ( (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  &  (v3_relat_2(C) &  (v8_relat_2(C) &  (v1_partfun1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  => k4_eqrel_1(A, B, B)=B) ) ).
fof(redefinition_k4_eqrel_1, axiom,  (! [A, B, C] :  ( ( (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  &  (v3_relat_2(C) &  (v8_relat_2(C) &  (v1_partfun1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  => k4_eqrel_1(A, B, C)=k3_xboole_0(B, C)) ) ).
fof(dt_k5_eqrel_1, axiom,  (! [A, B, C] :  ( ( (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  &  (v3_relat_2(C) &  (v8_relat_2(C) &  (v1_partfun1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  =>  (v3_relat_2(k5_eqrel_1(A, B, C)) &  (v8_relat_2(k5_eqrel_1(A, B, C)) &  (v1_partfun1(k5_eqrel_1(A, B, C), A) & m1_subset_1(k5_eqrel_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ).
fof(commutativity_k5_eqrel_1, axiom,  (! [A, B, C] :  ( ( (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  &  (v3_relat_2(C) &  (v8_relat_2(C) &  (v1_partfun1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  => k5_eqrel_1(A, B, C)=k5_eqrel_1(A, C, B)) ) ).
fof(idempotence_k5_eqrel_1, axiom,  (! [A, B, C] :  ( ( (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  &  (v3_relat_2(C) &  (v8_relat_2(C) &  (v1_partfun1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  => k5_eqrel_1(A, B, B)=B) ) ).
fof(dt_k6_eqrel_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => m1_subset_1(k6_eqrel_1(A, B, C, D), k1_zfmisc_1(B))) ) ).
fof(redefinition_k6_eqrel_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => k6_eqrel_1(A, B, C, D)=k9_relat_1(C, D)) ) ).
fof(dt_k7_eqrel_1, axiom,  (! [A, B] :  ( (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  => m1_subset_1(k7_eqrel_1(A, B), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ).
fof(dt_m1_eqrel_1, axiom,  (! [A] :  (! [B] :  (m1_eqrel_1(B, A) => m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ).
fof(existence_m1_eqrel_1, axiom,  (! [A] :  (? [B] : m1_eqrel_1(B, A)) ) ).
fof(dt_k8_eqrel_1, axiom,  (! [A, B] :  ( (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  => m1_eqrel_1(k8_eqrel_1(A, B), A)) ) ).
fof(redefinition_k8_eqrel_1, axiom,  (! [A, B] :  ( (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  => k8_eqrel_1(A, B)=k7_eqrel_1(A, B)) ) ).
fof(dt_k9_eqrel_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  & m1_subset_1(C, A)) )  => m2_subset_1(k9_eqrel_1(A, B, C), k1_zfmisc_1(A), k8_eqrel_1(A, B))) ) ).
fof(redefinition_k9_eqrel_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  & m1_subset_1(C, A)) )  => k9_eqrel_1(A, B, C)=k9_relat_1(B, C)) ) ).
fof(dt_k11_eqrel_1, axiom,  (! [A] : m1_eqrel_1(k11_eqrel_1(A), A)) ).
fof(redefinition_k11_eqrel_1, axiom,  (! [A] : k11_eqrel_1(A)=k10_eqrel_1(A)) ).
fof(dt_k12_eqrel_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & m1_eqrel_1(C, A)) )  => m1_subset_1(k12_eqrel_1(A, B, C), k1_zfmisc_1(A))) ) ).
fof(dt_k13_eqrel_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_eqrel_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(k9_setfam_1(A))))) ) )  =>  ( ~ (v1_xboole_0(k13_eqrel_1(A, B)))  & m1_eqrel_1(k13_eqrel_1(A, B), A)) ) ) ).
fof(dt_k14_eqrel_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_eqrel_1(B, A)) )  =>  (v1_funct_1(k14_eqrel_1(A, B)) &  (v1_funct_2(k14_eqrel_1(A, B), A, B) & m1_subset_1(k14_eqrel_1(A, B), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ).
fof(t37_eqrel_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k11_eqrel_1(A)=a_1_0_eqrel_1(A)) ) ).
fof(d8_eqrel_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_eqrel_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(k9_setfam_1(A))))) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_eqrel_1(C, A))  =>  (C=k13_eqrel_1(A, B) <=>  (! [D] :  (m1_subset_1(D, A) => k12_eqrel_1(A, D, C)=k1_setfam_1(a_3_0_eqrel_1(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t54_eqrel_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) => k3_tarski(k5_setfam_1(A, B))=k3_tarski(a_2_0_eqrel_1(A, B))) ) ) ).
fof(fraenkel_a_1_0_eqrel_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (r2_hidden(A, a_1_0_eqrel_1(B)) <=>  (? [C] :  (m1_subset_1(C, B) & A=k6_domain_1(B, C)) ) ) ) ) ).
fof(fraenkel_a_3_0_eqrel_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_eqrel_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k9_setfam_1(B))))) )  & m1_subset_1(D, B)) )  =>  (r2_hidden(A, a_3_0_eqrel_1(B, C, D)) <=>  (? [E] :  (m1_eqrel_1(E, B) &  (A=k12_eqrel_1(B, D, E) & r2_tarski(E, C)) ) ) ) ) ) ).
fof(fraenkel_a_2_0_eqrel_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B))) =>  (r2_hidden(A, a_2_0_eqrel_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) &  (A=k3_tarski(D) & r2_tarski(D, C)) ) ) ) ) ) ).
fof(fc1_equation, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (l3_msualg_1(B, A) & m1_msualg_2(C, A, B)) )  =>  ~ (v1_xboole_0(k2_equation(A, B, C))) ) ) ).
fof(rc1_equation, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (? [B] :  (l3_msualg_1(B, A) &  (v3_msualg_1(B, A) &  (v4_msualg_1(B, A) & v2_msafree(B, A)) ) ) ) ) ) ).
fof(fc2_equation, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  (v2_relat_1(C) &  (v2_finset_1(C) & m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B))) ) ) )  =>  (v3_msualg_1(k12_msualg_2(A, B, C), A) & v3_msafree2(k12_msualg_2(A, B, C), A)) ) ) ).
fof(rc2_equation, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  (? [C] :  (m1_msualg_2(C, A, B) &  (v3_msualg_1(C, A) &  (v4_msualg_1(C, A) & v3_msafree2(C, A)) ) ) ) ) ) ).
fof(rc3_equation, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_msualg_6(B, A) & l3_msualg_1(B, A)) )  =>  (? [C] :  (m1_msualg_2(C, A, B) & v1_msualg_6(C, A)) ) ) ) ).
fof(fc3_equation, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (v3_msualg_1(k3_equation(A), A) &  (v4_msualg_1(k3_equation(A), A) & v2_msafree(k3_equation(A), A)) ) ) ) ).
fof(fc4_equation, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (v1_relat_1(k4_equation(A)) &  (v2_relat_1(k4_equation(A)) &  (v4_relat_1(k4_equation(A), u1_struct_0(A)) &  (v1_funct_1(k4_equation(A)) & v1_partfun1(k4_equation(A), u1_struct_0(A))) ) ) ) ) ) ).
fof(t1_equation, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  (k2_relset_1(C, k1_partfun1(A, B, B, C, D, E))=C => k2_relset_1(C, E)=C) ) ) ) ) ) ) ) ) ) ).
fof(t2_equation, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) ) )  =>  (! [E] :  (m2_pboole(E, A, B, C) =>  (! [F] :  (m2_pboole(F, A, C, D) =>  (v2_msualg_3(k3_msualg_3(A, B, C, D, E, F), A, B, D) => v2_msualg_3(F, A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_equation, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (! [D] :  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  ( (r2_tarski(E, k1_funct_2(A, k1_funct_2(B, C))) & r2_tarski(D, B))  =>  (k9_xtuple_0(k1_funct_1(k9_funct_6(E), D))=A & r1_tarski(k10_xtuple_0(k1_funct_1(k9_funct_6(E), D)), C)) ) ) ) ) ) ) ) ) ) ).
fof(t4_equation, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r1_pzfmisc1(A, B, C) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) & v1_funcop_1(D)) ) ) )  =>  ( (r6_pboole(A, k1_funct_6(D), B) & r2_pboole(A, k2_funct_6(D), C))  => m2_pboole(D, A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t5_equation, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  (m2_pboole(D, A, B, C) =>  (! [E] :  (m3_pboole(E, A, B) =>  (! [F] :  (m3_pboole(F, A, B) =>  (! [G] :  (m3_pboole(G, A, E) =>  (r6_pboole(A, F, G) => r6_pboole(A, k1_msafree(A, E, C, G, k1_msafree(A, B, C, E, D)), k1_msafree(A, B, C, F, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_equation, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  (m3_pboole(D, A, C) =>  (! [E] :  (m2_pboole(E, A, D, B) =>  (? [F] :  (m2_pboole(F, A, C, B) & r6_pboole(A, k1_msafree(A, C, B, D, F), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_equation, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v1_funcop_1(C)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (D=k1_equation(A, B, C) <=>  (! [E] :  (r2_hidden(E, A) => k1_funct_1(D, E)=k8_relat_1(k1_funct_1(C, E), k1_funct_1(B, E))) ) ) ) ) ) ) ) ) ) ).
fof(t7_equation, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (! [E] :  (m2_pboole(E, A, B, C) => m3_pboole(k9_pboole(A, D, E), A, C)) ) ) ) ) ) ) ) ) ).
fof(t8_equation, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (! [E] :  (m2_pboole(E, A, B, C) => m3_pboole(k1_equation(A, D, E), A, B)) ) ) ) ) ) ) ) ) ).
fof(t9_equation, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  (m2_pboole(D, A, B, C) =>  (v2_msualg_3(D, A, B, C) => r6_pboole(A, k9_pboole(A, B, D), C)) ) ) ) ) ) ) ) ).
fof(t10_equation, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  (m2_pboole(D, A, B, C) =>  (r1_pzfmisc1(A, B, C) => r6_pboole(A, k1_equation(A, C, D), B)) ) ) ) ) ) ) ) ).
fof(t11_equation, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v1_funcop_1(C)) ) ) )  =>  (r2_pboole(A, B, k2_funct_6(C)) => r6_pboole(A, k9_pboole(A, k1_equation(A, B, C), C), B)) ) ) ) ) ) ).
fof(t12_equation, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_funcop_1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r2_pboole(A, k9_pboole(A, C, B), k2_funct_6(B))) ) ) ) ) ).
fof(t13_equation, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_funcop_1(B)) ) ) )  => r6_pboole(A, k9_pboole(A, k1_funct_6(B), B), k2_funct_6(B))) ) ) ).
fof(t14_equation, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_funcop_1(B)) ) ) )  => r6_pboole(A, k1_equation(A, k2_funct_6(B), B), k1_funct_6(B))) ) ) ).
fof(t15_equation, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => r6_pboole(A, k9_pboole(A, B, k2_msualg_3(A, B)), B)) ) ) ).
fof(t16_equation, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => r6_pboole(A, k1_equation(A, B, k2_msualg_3(A, B)), B)) ) ) ).
fof(t17_equation, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) => m1_msualg_2(B, A, g3_msualg_1(A, u3_msualg_1(A, B), u4_msualg_1(A, B)))) ) ) ) ).
fof(t18_equation, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m1_msualg_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (r2_tarski(E, k3_msualg_1(A, D, C)) => r2_tarski(E, k3_msualg_1(A, D, B))) ) ) ) ) ) ) ) ) ) ).
fof(t19_equation, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m1_msualg_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (r2_tarski(E, k3_msualg_1(A, D, C)) => k1_funct_1(k5_msualg_1(A, D, C), E)=k1_funct_1(k5_msualg_1(A, D, B), E)) ) ) ) ) ) ) ) ) ) ).
fof(t20_equation, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_pralg_2(C, A, B) =>  (! [D] :  (m1_msualg_2(D, B, k14_pralg_2(A, B, C)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(B)) =>  (! [F] :  (r2_hidden(F, k3_msualg_1(B, E, D)) =>  ( (v1_relat_1(k1_funct_1(k5_msualg_1(B, E, D), F)) & v1_funct_1(k1_funct_1(k5_msualg_1(B, E, D), F)))  &  (v1_relat_1(k1_funct_1(k5_msualg_1(B, E, k14_pralg_2(A, B, C)), F)) & v1_funct_1(k1_funct_1(k5_msualg_1(B, E, k14_pralg_2(A, B, C)), F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_equation, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m1_msualg_2(C, A, B) =>  (! [D] :  (D=k2_equation(A, B, C) <=>  (! [E] :  (r2_hidden(E, D) <=>  (? [F] :  ( (v3_msualg_1(F, A) & m1_msualg_2(F, A, B))  &  (E=F & m1_msualg_2(C, A, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_equation, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (m1_msualg_2(D, A, C) =>  (! [E] :  (m3_pboole(E, u1_struct_0(A), u3_msualg_1(A, C)) =>  (r8_pboole(u1_struct_0(A), E, u3_msualg_1(A, D)) =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, B)) =>  (! [G] :  (m2_pboole(G, u1_struct_0(A), u3_msualg_1(A, D), u3_msualg_1(A, B)) =>  (r8_pboole(u1_struct_0(A), G, k1_msafree(u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, B), E, F)) =>  (! [H] :  (m1_subset_1(H, u4_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, k3_msualg_1(A, H, C)) =>  (! [J] :  (m1_subset_1(J, k3_msualg_1(A, H, D)) =>  (I=J =>  (k3_msualg_1(A, H, D)=k1_xboole_0 | k5_msualg_3(A, C, B, H, F, I)=k5_msualg_3(A, D, B, H, G, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_equation, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v1_msualg_6(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  ( (v1_msualg_6(D, A) & m1_msualg_2(D, A, C))  =>  (! [E] :  (m3_pboole(E, u1_struct_0(A), u3_msualg_1(A, C)) =>  (r8_pboole(u1_struct_0(A), E, u3_msualg_1(A, D)) =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, B)) =>  (r1_msualg_3(A, C, B, F) =>  (! [G] :  (m2_pboole(G, u1_struct_0(A), u3_msualg_1(A, D), u3_msualg_1(A, B)) =>  (r8_pboole(u1_struct_0(A), G, k1_msafree(u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, B), E, F)) => r1_msualg_3(A, D, B, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_equation, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v3_msualg_1(C, A) &  (v4_msualg_1(C, A) & l3_msualg_1(C, A)) )  =>  (! [D] :  (m1_msafree(D, A, B) =>  (! [E] :  ( (v2_relat_1(E) & m1_msafree(E, A, C))  =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  ( (r2_pboole(u1_struct_0(A), E, k9_pboole(u1_struct_0(A), D, F)) & r1_msualg_3(A, B, C, F))  => r2_msualg_3(A, B, C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_equation, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  ( (v3_msualg_1(D, A) &  (v4_msualg_1(D, A) &  (v2_msafree(D, A) & l3_msualg_1(D, A)) ) )  =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (r2_msualg_3(A, B, C, E) =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), u3_msualg_1(A, D), u3_msualg_1(A, C)) =>  ~ ( (r1_msualg_3(A, D, C, F) &  (! [G] :  (m2_pboole(G, u1_struct_0(A), u3_msualg_1(A, D), u3_msualg_1(A, B)) =>  ~ ( (r1_msualg_3(A, D, B, G) & r8_pboole(u1_struct_0(A), F, k3_msualg_3(u1_struct_0(A), u3_msualg_1(A, D), u3_msualg_1(A, B), u3_msualg_1(A, C), G, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_equation, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  (m1_pralg_2(D, B, A) =>  ~ ( ( (! [E] :  (m1_subset_1(E, B) =>  (? [F] :  ( (v3_msualg_1(F, A) &  (v4_msualg_1(F, A) &  (v3_msafree2(F, A) & m1_msualg_2(F, A, C)) ) )  & F=k5_pralg_2(B, A, D, E)) ) ) )  &  (! [E] :  ( (v3_msualg_1(E, A) &  (v4_msualg_1(E, A) &  (v3_msafree2(E, A) & m1_msualg_2(E, A, C)) ) )  =>  ~ ( (! [F] :  (m1_subset_1(F, B) => m1_msualg_2(k5_pralg_2(B, A, D, F), A, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_equation, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v3_msualg_1(C, A) &  (v4_msualg_1(C, A) &  (v3_msafree2(C, A) & m1_msualg_2(C, A, B)) ) )  =>  (! [D] :  ( (v3_msualg_1(D, A) &  (v4_msualg_1(D, A) &  (v3_msafree2(D, A) & m1_msualg_2(D, A, B)) ) )  =>  (? [E] :  ( (v3_msualg_1(E, A) &  (v4_msualg_1(E, A) &  (v3_msafree2(E, A) & m1_msualg_2(E, A, B)) ) )  &  (m1_msualg_2(C, A, E) & m1_msualg_2(D, A, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_equation, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v2_msafree(B, A) &  (v1_msualg_6(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v1_msafree(C, A, B) & m1_msafree(C, A, B))  =>  (! [D] :  (m3_pboole(D, u1_struct_0(A), u3_msualg_1(A, B)) =>  ( (r2_pboole(u1_struct_0(A), D, C) & v1_msualg_6(k12_msualg_2(A, B, D), A))  => v2_msafree(k12_msualg_2(A, B, D), A)) ) ) ) ) ) ) ) ) ).
fof(d3_equation, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  => k3_equation(A)=k11_msafree(A, k7_funcop_1(u1_struct_0(A), k4_ordinal1))) ) ).
fof(d4_equation, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  => k4_equation(A)=k6_pboole(u1_struct_0(A), u3_msualg_1(A, k3_equation(A)), u3_msualg_1(A, k3_equation(A)))) ) ).
fof(t29_equation, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_funct_1(k4_equation(A), B)) => r2_hidden(k1_xtuple_0(C), k1_funct_1(u3_msualg_1(A, k3_equation(A)), B))) ) ) ) ) ) ).
fof(t30_equation, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_funct_1(k4_equation(A), B)) => r2_hidden(k2_xtuple_0(C), k1_funct_1(u3_msualg_1(A, k3_equation(A)), B))) ) ) ) ) ) ).
fof(d5_equation, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_funct_1(k4_equation(A), C)) =>  (r1_equation(A, B, C, D) <=>  (! [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, k3_equation(A)), u3_msualg_1(A, B)) =>  (r1_msualg_3(A, k3_equation(A), B, E) => k1_funct_1(k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, k3_equation(A)), u3_msualg_1(A, B), E, C), k1_xtuple_0(D))=k1_funct_1(k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, k3_equation(A)), u3_msualg_1(A, B), E, C), k2_xtuple_0(D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_equation, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m3_pboole(C, u1_struct_0(A), k4_equation(A)) =>  (r2_equation(A, B, C) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(k4_equation(A), D)) =>  (r2_tarski(E, k1_funct_1(C, D)) => r1_equation(A, B, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_equation, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_funct_1(k4_equation(A), C)) =>  (! [E] :  ( (v3_msualg_1(E, A) &  (v4_msualg_1(E, A) & m1_msualg_2(E, A, B)) )  =>  (r1_equation(A, B, C, D) => r1_equation(A, E, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_equation, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m3_pboole(C, u1_struct_0(A), k4_equation(A)) =>  (! [D] :  ( (v3_msualg_1(D, A) &  (v4_msualg_1(D, A) & m1_msualg_2(D, A, B)) )  =>  (r2_equation(A, B, C) => r2_equation(A, D, C)) ) ) ) ) ) ) ) ) ).
fof(t33_equation, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(k4_equation(A), D)) =>  ( (r6_msualg_3(A, B, C) & r1_equation(A, B, D, E))  => r1_equation(A, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_equation, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  (m3_pboole(D, u1_struct_0(A), k4_equation(A)) =>  ( (r6_msualg_3(A, B, C) & r2_equation(A, B, D))  => r2_equation(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t35_equation, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_funct_1(k4_equation(A), C)) =>  (! [E] :  ( (v2_msualg_4(E, A, B) &  (v3_msualg_4(E, A, B) & m1_msualg_4(E, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  =>  (r1_equation(A, B, C, D) => r1_equation(A, k13_msualg_4(A, B, E), C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_equation, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m3_pboole(C, u1_struct_0(A), k4_equation(A)) =>  (! [D] :  ( (v2_msualg_4(D, A, B) &  (v3_msualg_4(D, A, B) & m1_msualg_4(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  =>  (r2_equation(A, B, C) => r2_equation(A, k13_msualg_4(A, B, D), C)) ) ) ) ) ) ) ) ) ).
fof(t37_equation, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, k1_funct_1(k4_equation(B), C)) =>  (! [E] :  (m1_pralg_2(E, A, B) =>  ( (! [F] :  ~ ( (r2_tarski(F, A) &  (! [G] :  (l3_msualg_1(G, B) =>  ~ ( (G=k1_funct_1(E, F) & r1_equation(B, G, C, D)) ) ) ) ) ) )  => r1_equation(B, k14_pralg_2(A, B, E), C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t38_equation, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m3_pboole(C, u1_struct_0(B), k4_equation(B)) =>  (! [D] :  (m1_pralg_2(D, A, B) =>  ( (! [E] :  ~ ( (r2_tarski(E, A) &  (! [F] :  (l3_msualg_1(F, B) =>  ~ ( (F=k1_funct_1(D, E) & r2_equation(B, F, C)) ) ) ) ) ) )  => r2_equation(B, k14_pralg_2(A, B, D), C)) ) ) ) ) ) ) ) ).
fof(dt_k1_equation, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v1_funcop_1(C)) ) ) ) )  =>  (v1_relat_1(k1_equation(A, B, C)) &  (v4_relat_1(k1_equation(A, B, C), A) &  (v1_funct_1(k1_equation(A, B, C)) & v1_partfun1(k1_equation(A, B, C), A)) ) ) ) ) ).
fof(dt_k3_equation, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  => l3_msualg_1(k3_equation(A), A)) ) ).
fof(dt_k4_equation, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (v1_relat_1(k4_equation(A)) &  (v4_relat_1(k4_equation(A), u1_struct_0(A)) &  (v1_funct_1(k4_equation(A)) & v1_partfun1(k4_equation(A), u1_struct_0(A))) ) ) ) ) ).
fof(dt_k5_equation, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, k1_funct_1(u3_msualg_1(A, k3_equation(A)), B)) & m1_subset_1(D, k1_funct_1(u3_msualg_1(A, k3_equation(A)), B))) ) )  => m1_subset_1(k5_equation(A, B, C, D), k1_funct_1(k4_equation(A), B))) ) ).
fof(redefinition_k5_equation, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, k1_funct_1(u3_msualg_1(A, k3_equation(A)), B)) & m1_subset_1(D, k1_funct_1(u3_msualg_1(A, k3_equation(A)), B))) ) )  => k5_equation(A, B, C, D)=k4_tarski(C, D)) ) ).
fof(t27_equation, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (C=a_2_0_equation(A, B) =>  (! [D] :  (m1_pralg_2(D, C, A) =>  ~ ( ( (! [E] :  (r2_hidden(E, C) => E=k1_funct_1(D, E)) )  &  (! [E] :  ( (v3_msualg_1(E, A) &  (v4_msualg_1(E, A) & m1_msualg_2(E, A, k14_pralg_2(C, A, D))) )  =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), u3_msualg_1(A, E), u3_msualg_1(A, B)) =>  ~ (r2_msualg_3(A, E, B, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_equation, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  &  (v4_msualg_1(C, B) & l3_msualg_1(C, B)) )  =>  (r2_hidden(A, a_2_0_equation(B, C)) <=>  (? [D] :  (m1_subset_1(D, k14_msualg_2(B, C)) &  (A=D &  (? [E] :  ( (v3_msualg_1(E, B) &  (v4_msualg_1(E, B) &  (v3_msafree2(E, B) & m1_msualg_2(E, B, C)) ) )  & E=D) ) ) ) ) ) ) ) ).
fof(fc1_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ (v1_xboole_0(k1_euclid(A))) ) ) ).
fof(cc1_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_euclid(A)) => v3_card_1(B, A)) ) ) ) ).
fof(fc2_euclid, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  =>  (v1_xreal_0(k12_euclid(A)) &  ~ (v3_xxreal_0(k12_euclid(A))) ) ) ) ).
fof(fc3_euclid, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k1_euclid(A)))  =>  (v8_ordinal1(k12_euclid(k8_euclid(A, B, B))) & v1_xreal_0(k12_euclid(k8_euclid(A, B, B)))) ) ) ).
fof(fc4_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (v2_struct_0(k14_euclid(A)))  &  (v1_metric_1(k14_euclid(A)) &  (v6_metric_1(k14_euclid(A)) &  (v7_metric_1(k14_euclid(A)) &  (v8_metric_1(k14_euclid(A)) & v9_metric_1(k14_euclid(A))) ) ) ) ) ) ) ).
fof(fc5_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (v2_struct_0(k15_euclid(A)))  & v5_rltopsp1(k15_euclid(A))) ) ) ).
fof(fc6_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v2_pre_topc(k15_euclid(A)) &  (v13_algstr_0(k15_euclid(A)) &  (v2_rlvect_1(k15_euclid(A)) &  (v3_rlvect_1(k15_euclid(A)) &  (v4_rlvect_1(k15_euclid(A)) &  (v5_rlvect_1(k15_euclid(A)) &  (v6_rlvect_1(k15_euclid(A)) &  (v7_rlvect_1(k15_euclid(A)) &  (v8_rlvect_1(k15_euclid(A)) & v5_rltopsp1(k15_euclid(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(fc7_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v2_monoid_0(k15_euclid(A)) & v5_rltopsp1(k15_euclid(A))) ) ) ).
fof(cc2_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) => v1_finseq_1(B)) ) ) ) ).
fof(cc3_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) => v3_valued_0(B)) ) ) ) ).
fof(ie1_euclid, axiom,  (! [A, B, C, D, E] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v7_ordinal1(C) &  (m1_subset_1(D, u1_struct_0(k15_euclid(C))) &  (v1_relat_1(E) &  (v1_funct_1(E) &  (v1_finseq_1(E) & v3_valued_0(E)) ) ) ) ) ) )  =>  ( (A=B & D=E)  => k1_rlvect_1(k15_euclid(C), D, A)=k10_rvsum_1(E, B)) ) ) ).
fof(ie2_euclid, axiom,  (! [A, B, C, D, E] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) &  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) &  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v1_finseq_1(D) & v3_valued_0(D)) ) )  &  (v1_relat_1(E) &  (v1_funct_1(E) &  (v1_finseq_1(E) & v3_valued_0(E)) ) ) ) ) ) )  =>  ( (B=D & C=E)  => k3_rlvect_1(k15_euclid(A), B, C)=k4_rvsum_1(D, E)) ) ) ).
fof(ie3_euclid, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) &  (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) & v3_valued_0(C)) ) ) ) )  =>  (B=C => k4_algstr_0(k15_euclid(A), B)=k6_rvsum_1(C)) ) ) ).
fof(ie4_euclid, axiom,  (! [A, B, C, D, E] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) &  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) &  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v1_finseq_1(D) & v3_valued_0(D)) ) )  &  (v1_relat_1(E) &  (v1_funct_1(E) &  (v1_finseq_1(E) & v3_valued_0(E)) ) ) ) ) ) )  =>  ( (B=D & C=E)  => k5_algstr_0(k15_euclid(A), B, C)=k8_rvsum_1(D, E)) ) ) ).
fof(cc4_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) => v3_card_1(B, A)) ) ) ) ).
fof(fc8_euclid, axiom,  (! [A, B] :  (v7_ordinal1(A) => v3_finseq_1(k4_finseq_2(A, B))) ) ).
fof(fc9_euclid, axiom,  (! [A] :  (v7_ordinal1(A) => v3_finseq_1(k1_euclid(A))) ) ).
fof(fc10_euclid, axiom,  (! [A] :  (v7_ordinal1(A) => v3_valued_2(k1_euclid(A))) ) ).
fof(d1_euclid, axiom,  (! [A] :  (v7_ordinal1(A) => k1_euclid(A)=k4_finseq_2(A, k1_numbers)) ) ).
fof(d2_euclid, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (A=k2_euclid <=>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(A, B)=k9_complex1(B)) ) ) ) ) ).
fof(d3_euclid, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  => k3_euclid(A)=k3_relat_1(A, k2_euclid)) ) ).
fof(d4_euclid, axiom,  (! [A] :  (v7_ordinal1(A) => k4_euclid(A)=k5_finseq_2(k1_numbers, A, k10_subset_1(k5_numbers, k1_numbers))) ) ).
fof(d5_euclid, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  => k12_euclid(A)=k3_square_1(k18_rvsum_1(k12_rvsum_1(A)))) ) ).
fof(t4_euclid, axiom,  (! [A] :  (v7_ordinal1(A) => k10_euclid(A, k5_euclid(A))=k2_finseq_2(A, k5_numbers)) ) ).
fof(t5_euclid, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  => k54_valued_1(k30_valued_1(A))=k54_valued_1(A)) ) ).
fof(t6_euclid, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v3_valued_0(B)) ) )  => k3_euclid(k10_rvsum_1(B, A))=k10_rvsum_1(k3_euclid(B), k9_complex1(A))) ) ) ) ).
fof(t7_euclid, axiom,  (! [A] :  (v7_ordinal1(A) => k12_euclid(k5_euclid(A))=k5_numbers) ) ).
fof(t8_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (k12_euclid(B)=k5_numbers => B=k5_euclid(A)) ) ) ) ) ).
fof(t9_euclid, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  => r1_xxreal_0(k5_numbers, k12_euclid(A))) ) ).
fof(t10_euclid, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  => k12_euclid(k6_rvsum_1(A))=k12_euclid(A)) ) ).
fof(t11_euclid, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v3_valued_0(B)) ) )  => k12_euclid(k10_rvsum_1(B, A))=k3_xcmplx_0(k9_complex1(A), k12_euclid(B))) ) ) ) ).
fof(t12_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) => r1_xxreal_0(k12_euclid(k7_euclid(A, B, C)), k2_xcmplx_0(k12_euclid(B), k12_euclid(C)))) ) ) ) ) ) ).
fof(t13_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) => r1_xxreal_0(k12_euclid(k8_euclid(A, B, C)), k2_xcmplx_0(k12_euclid(B), k12_euclid(C)))) ) ) ) ) ) ).
fof(t14_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) => r1_xxreal_0(k6_xcmplx_0(k12_euclid(B), k12_euclid(C)), k12_euclid(k7_euclid(A, B, C)))) ) ) ) ) ) ).
fof(t15_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) => r1_xxreal_0(k6_xcmplx_0(k12_euclid(B), k12_euclid(C)), k12_euclid(k8_euclid(A, B, C)))) ) ) ) ) ) ).
fof(t16_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (k12_euclid(k8_euclid(A, B, C))=k5_numbers <=> B=C) ) ) ) ) ) ) ).
fof(t17_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  ~ ( ( ~ (B=C)  & r1_xxreal_0(k12_euclid(k8_euclid(A, B, C)), k5_numbers)) ) ) ) ) ) ) ) ).
fof(t18_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) => k12_euclid(k8_euclid(A, B, C))=k12_euclid(k8_euclid(A, C, B))) ) ) ) ) ) ).
fof(t19_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) => r1_xxreal_0(k12_euclid(k8_euclid(A, C, D)), k2_xcmplx_0(k12_euclid(k8_euclid(A, C, B)), k12_euclid(k8_euclid(A, B, D))))) ) ) ) ) ) ) ) ).
fof(d6_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k1_euclid(A), k1_euclid(A)), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(A)), k1_numbers)))) )  =>  (B=k13_euclid(A) <=>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) => k2_binop_1(k1_euclid(A), k1_euclid(A), k1_numbers, B, C, D)=k12_euclid(k8_euclid(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t20_euclid, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v3_valued_0(B)) ) )  => k12_rvsum_1(k8_rvsum_1(A, B))=k12_rvsum_1(k8_rvsum_1(B, A))) ) ) ) ).
fof(t21_euclid, axiom,  (! [A] :  (v7_ordinal1(A) => r1_pcomps_1(k1_euclid(A), k13_euclid(A))) ) ).
fof(d7_euclid, axiom,  (! [A] :  (v7_ordinal1(A) => k14_euclid(A)=g1_metric_1(k1_euclid(A), k13_euclid(A))) ) ).
fof(d8_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v5_rltopsp1(B) & l1_rltopsp1(B))  =>  (B=k15_euclid(A) <=>  (g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))=k3_pcomps_1(k14_euclid(A)) & g1_rlvect_1(u1_struct_0(B), u2_struct_0(B), u1_algstr_0(B), u1_rlvect_1(B))=k10_funcsdom(k2_finseq_1(A))) ) ) ) ) ) ).
fof(t22_euclid, axiom,  (! [A] :  (v7_ordinal1(A) => u1_struct_0(k15_euclid(A))=k1_euclid(A)) ) ).
fof(t23_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (v1_funct_1(B) &  (v1_funct_2(B, k2_finseq_1(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k1_numbers)))) ) ) ) ) ) ).
fof(t24_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) => m2_finseq_1(B, k1_numbers)) ) ) ) ).
fof(t25_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) => k13_rvsum_1(A, k10_euclid(A, B))=k11_euclid(A, B)) ) ) ) ).
fof(t51_euclid, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (? [B] :  (m1_subset_1(B, k1_numbers) &  (? [C] :  (m1_subset_1(C, k1_numbers) & A=k10_finseq_1(B, C)) ) ) ) ) ) ).
fof(d9_euclid, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => k17_euclid(A)=k1_funct_1(A, 1)) ) ).
fof(d10_euclid, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => k18_euclid(A)=k1_funct_1(A, 2)) ) ).
fof(t52_euclid, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (k17_euclid(k19_euclid(A, B))=A & k18_euclid(k19_euclid(A, B))=B) ) ) ) ) ).
fof(t53_euclid, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => A=k19_euclid(k17_euclid(A), k18_euclid(A))) ) ).
fof(t54_euclid, axiom, k4_struct_0(k15_euclid(2))=k19_euclid(k5_numbers, k5_numbers)).
fof(t55_euclid, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => k3_rlvect_1(k15_euclid(2), A, B)=k19_euclid(k2_xcmplx_0(k17_euclid(A), k17_euclid(B)), k2_xcmplx_0(k18_euclid(A), k18_euclid(B)))) ) ) ) ).
fof(t56_euclid, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => k3_rlvect_1(k15_euclid(2), k19_euclid(A, C), k19_euclid(B, D))=k19_euclid(k2_xcmplx_0(A, B), k2_xcmplx_0(C, D))) ) ) ) ) ) ) ) ).
fof(t57_euclid, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => k1_rlvect_1(k15_euclid(2), B, A)=k19_euclid(k3_xcmplx_0(A, k17_euclid(B)), k3_xcmplx_0(A, k18_euclid(B)))) ) ) ) ).
fof(t58_euclid, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) => k1_rlvect_1(k15_euclid(2), k19_euclid(B, C), A)=k19_euclid(k3_xcmplx_0(A, B), k3_xcmplx_0(A, C))) ) ) ) ) ) ).
fof(t59_euclid, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => k4_algstr_0(k15_euclid(2), A)=k19_euclid(k4_xcmplx_0(k17_euclid(A)), k4_xcmplx_0(k18_euclid(A)))) ) ).
fof(t60_euclid, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k4_algstr_0(k15_euclid(2), k19_euclid(A, B))=k19_euclid(k4_xcmplx_0(A), k4_xcmplx_0(B))) ) ) ) ).
fof(t61_euclid, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => k5_algstr_0(k15_euclid(2), A, B)=k19_euclid(k6_xcmplx_0(k17_euclid(A), k17_euclid(B)), k6_xcmplx_0(k18_euclid(A), k18_euclid(B)))) ) ) ) ).
fof(t62_euclid, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => k5_algstr_0(k15_euclid(2), k19_euclid(A, C), k19_euclid(B, D))=k19_euclid(k6_xcmplx_0(A, B), k6_xcmplx_0(C, D))) ) ) ) ) ) ) ) ).
fof(t63_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k14_euclid(A)))))  =>  (B=C => k1_pre_topc(k15_euclid(A), B)=k3_pcomps_1(k1_topmetr(k14_euclid(A), C))) ) ) ) ) ) ) ).
fof(t64_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v3_valued_0(D)) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v3_valued_0(E)) )  =>  ( (B=D & C=E)  => k3_rlvect_1(k15_euclid(A), B, C)=k1_valued_1(D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v3_valued_0(D)) )  =>  (C=D => k1_rlvect_1(k15_euclid(A), C, B)=k24_valued_1(D, B)) ) ) ) ) ) ) ) ) ).
fof(t66_euclid, axiom,  (! [A] :  (v7_ordinal1(A) => k16_euclid(A)=k4_struct_0(k15_euclid(A))) ) ).
fof(t67_euclid, axiom,  (! [A] :  (v7_ordinal1(A) => u1_struct_0(k14_euclid(A))=u1_struct_0(k15_euclid(A))) ) ).
fof(t68_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v3_valued_0(C)) )  =>  (B=C => k4_algstr_0(k15_euclid(A), B)=k30_valued_1(C)) ) ) ) ) ) ) ).
fof(t69_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v3_valued_0(D)) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v3_valued_0(E)) )  =>  ( (B=D & C=E)  => k5_algstr_0(k15_euclid(A), B, C)=k45_valued_1(D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_euclid, axiom,  (! [A] :  (v7_ordinal1(A) => k4_struct_0(k15_euclid(A))=k5_euclid(A)) ) ).
fof(t71_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) => k12_euclid(k4_algstr_0(k15_euclid(A), B))=k12_euclid(B)) ) ) ) ).
fof(d11_euclid, axiom,  (! [A] :  (v7_ordinal1(A) => k20_euclid(A)=k5_finseq_2(k4_ordinal1, A, 1)) ) ).
fof(d12_euclid, axiom,  (! [A] :  (v7_ordinal1(A) => k22_euclid(A)=k21_euclid(A)) ) ).
fof(t72_euclid, axiom,  (! [A] :  (v7_ordinal1(A) => k10_euclid(A, k21_euclid(A))=k5_finseq_2(k4_ordinal1, A, 1)) ) ).
fof(t73_euclid, axiom,  (! [A] :  (v7_ordinal1(A) => k12_euclid(k21_euclid(A))=k3_square_1(A)) ) ).
fof(t74_euclid, axiom,  (! [A] :  (v7_ordinal1(A) => k12_euclid(k22_euclid(A))=k3_square_1(A)) ) ).
fof(t75_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) => r1_xxreal_0(1, k12_euclid(k22_euclid(A)))) ) ) ).
fof(t76_euclid, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (m2_finseq_2(A, k1_numbers, k1_euclid(k3_finseq_1(A))) & m1_subset_1(A, u1_struct_0(k15_euclid(k3_finseq_1(A))))) ) ) ).
fof(t77_euclid, axiom, k1_euclid(k5_numbers)=k1_tarski(k4_struct_0(k15_euclid(k5_numbers)))).
fof(dt_k1_euclid, axiom,  (! [A] :  (v7_ordinal1(A) => m1_finseq_2(k1_euclid(A), k1_numbers)) ) ).
fof(dt_k2_euclid, axiom,  (v1_funct_1(k2_euclid) &  (v1_funct_2(k2_euclid, k1_numbers, k1_numbers) & m1_subset_1(k2_euclid, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ).
fof(dt_k3_euclid, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  => m2_finseq_1(k3_euclid(A), k1_numbers)) ) ).
fof(projectivity_k3_euclid, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  => k3_euclid(k3_euclid(A))=k3_euclid(A)) ) ).
fof(redefinition_k3_euclid, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  => k3_euclid(A)=k54_valued_1(A)) ) ).
fof(dt_k4_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_relat_1(k4_euclid(A)) &  (v1_funct_1(k4_euclid(A)) &  (v1_finseq_1(k4_euclid(A)) & v3_valued_0(k4_euclid(A))) ) ) ) ) ).
fof(dt_k5_euclid, axiom,  (! [A] :  (v7_ordinal1(A) => m2_finseq_2(k5_euclid(A), k1_numbers, k1_euclid(A))) ) ).
fof(redefinition_k5_euclid, axiom,  (! [A] :  (v7_ordinal1(A) => k5_euclid(A)=k4_euclid(A)) ) ).
fof(dt_k6_euclid, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k1_euclid(A)))  => m2_finseq_2(k6_euclid(A, B), k1_numbers, k1_euclid(A))) ) ).
fof(involutiveness_k6_euclid, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k1_euclid(A)))  => k6_euclid(A, k6_euclid(A, B))=B) ) ).
fof(redefinition_k6_euclid, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k1_euclid(A)))  => k6_euclid(A, B)=k30_valued_1(B)) ) ).
fof(dt_k7_euclid, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, k1_euclid(A)) & m1_subset_1(C, k1_euclid(A))) )  => m2_finseq_2(k7_euclid(A, B, C), k1_numbers, k1_euclid(A))) ) ).
fof(commutativity_k7_euclid, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, k1_euclid(A)) & m1_subset_1(C, k1_euclid(A))) )  => k7_euclid(A, B, C)=k7_euclid(A, C, B)) ) ).
fof(redefinition_k7_euclid, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, k1_euclid(A)) & m1_subset_1(C, k1_euclid(A))) )  => k7_euclid(A, B, C)=k1_valued_1(B, C)) ) ).
fof(dt_k8_euclid, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, k1_euclid(A)) & m1_subset_1(C, k1_euclid(A))) )  => m2_finseq_2(k8_euclid(A, B, C), k1_numbers, k1_euclid(A))) ) ).
fof(redefinition_k8_euclid, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, k1_euclid(A)) & m1_subset_1(C, k1_euclid(A))) )  => k8_euclid(A, B, C)=k45_valued_1(B, C)) ) ).
fof(dt_k9_euclid, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, k1_euclid(A)) & v1_xreal_0(C)) )  => m2_finseq_2(k9_euclid(A, B, C), k1_numbers, k1_euclid(A))) ) ).
fof(redefinition_k9_euclid, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, k1_euclid(A)) & v1_xreal_0(C)) )  => k9_euclid(A, B, C)=k24_valued_1(B, C)) ) ).
fof(dt_k10_euclid, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k1_euclid(A)))  => m2_finseq_2(k10_euclid(A, B), k1_numbers, k4_finseq_2(A, k1_numbers))) ) ).
fof(projectivity_k10_euclid, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k1_euclid(A)))  => k10_euclid(A, k10_euclid(A, B))=k10_euclid(A, B)) ) ).
fof(redefinition_k10_euclid, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k1_euclid(A)))  => k10_euclid(A, B)=k54_valued_1(B)) ) ).
fof(dt_k11_euclid, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k1_euclid(A)))  => m2_finseq_2(k11_euclid(A, B), k1_numbers, k4_finseq_2(A, k1_numbers))) ) ).
fof(redefinition_k11_euclid, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k1_euclid(A)))  => k11_euclid(A, B)=k39_valued_1(B)) ) ).
fof(dt_k12_euclid, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  => v1_xreal_0(k12_euclid(A))) ) ).
fof(dt_k13_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_funct_1(k13_euclid(A)) &  (v1_funct_2(k13_euclid(A), k2_zfmisc_1(k1_euclid(A), k1_euclid(A)), k1_numbers) & m1_subset_1(k13_euclid(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(A)), k1_numbers)))) ) ) ) ).
fof(dt_k14_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_metric_1(k14_euclid(A)) &  (v6_metric_1(k14_euclid(A)) &  (v7_metric_1(k14_euclid(A)) &  (v8_metric_1(k14_euclid(A)) &  (v9_metric_1(k14_euclid(A)) & l1_metric_1(k14_euclid(A))) ) ) ) ) ) ) ).
fof(dt_k15_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v5_rltopsp1(k15_euclid(A)) & l1_rltopsp1(k15_euclid(A))) ) ) ).
fof(dt_k16_euclid, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k16_euclid(A), u1_struct_0(k15_euclid(A)))) ) ).
fof(redefinition_k16_euclid, axiom,  (! [A] :  (v7_ordinal1(A) => k16_euclid(A)=k4_euclid(A)) ) ).
fof(dt_k17_euclid, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => v1_xreal_0(k17_euclid(A))) ) ).
fof(dt_k18_euclid, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => v1_xreal_0(k18_euclid(A))) ) ).
fof(dt_k19_euclid, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => m1_subset_1(k19_euclid(A, B), u1_struct_0(k15_euclid(2)))) ) ).
fof(redefinition_k19_euclid, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => k19_euclid(A, B)=k10_finseq_1(A, B)) ) ).
fof(dt_k20_euclid, axiom,  (! [A] :  (v7_ordinal1(A) => m2_finseq_1(k20_euclid(A), k1_numbers)) ) ).
fof(dt_k21_euclid, axiom,  (! [A] :  (v7_ordinal1(A) => m2_finseq_2(k21_euclid(A), k1_numbers, k1_euclid(A))) ) ).
fof(redefinition_k21_euclid, axiom,  (! [A] :  (v7_ordinal1(A) => k21_euclid(A)=k20_euclid(A)) ) ).
fof(dt_k22_euclid, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k22_euclid(A), u1_struct_0(k15_euclid(A)))) ) ).
fof(fc1_euclid10, axiom,  (! [A, B, C] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v1_xreal_0(C) & v3_xxreal_0(C)) ) )  => v1_xboole_0(k5_jgraph_6(A, B, C))) ) ).
fof(fc2_euclid10, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_zfmisc_1(k5_jgraph_6(A, B, k5_ordinal1))) ) ).
fof(t1_euclid10, axiom,  (! [A] :  (v1_xreal_0(A) => k17_sin_cos(k6_xcmplx_0(k28_sin_cos, A))=k17_sin_cos(A)) ) ).
fof(t2_euclid10, axiom,  (! [A] :  (v1_xreal_0(A) => k19_sin_cos(k6_xcmplx_0(k28_sin_cos, A))=k4_xcmplx_0(k19_sin_cos(A))) ) ).
fof(t3_euclid10, axiom,  (! [A] :  (v1_xreal_0(A) => k17_sin_cos(k6_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), A))=k4_xcmplx_0(k17_sin_cos(A))) ) ).
fof(t4_euclid10, axiom,  (! [A] :  (v1_xreal_0(A) => k19_sin_cos(k6_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), A))=k19_sin_cos(A)) ) ).
fof(t5_euclid10, axiom,  (! [A] :  (v1_xreal_0(A) => k17_sin_cos(k2_xcmplx_0(k4_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos)), A))=k17_sin_cos(A)) ) ).
fof(t6_euclid10, axiom,  (! [A] :  (v1_xreal_0(A) => k19_sin_cos(k2_xcmplx_0(k4_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos)), A))=k19_sin_cos(A)) ) ).
fof(t7_euclid10, axiom,  (! [A] :  (v1_xreal_0(A) => k17_sin_cos(k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(3, k28_sin_cos), 2), A))=k4_xcmplx_0(k19_sin_cos(A))) ) ).
fof(t8_euclid10, axiom,  (! [A] :  (v1_xreal_0(A) => k19_sin_cos(k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(3, k28_sin_cos), 2), A))=k17_sin_cos(A)) ) ).
fof(t9_euclid10, axiom,  (! [A] :  (v1_xreal_0(A) => k17_sin_cos(k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(3, k28_sin_cos), 2), A))=k4_xcmplx_0(k17_sin_cos(k6_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 2), A)))) ) ).
fof(t10_euclid10, axiom,  (! [A] :  (v1_xreal_0(A) => k19_sin_cos(k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(3, k28_sin_cos), 2), A))=k19_sin_cos(k6_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 2), A))) ) ).
fof(t11_euclid10, axiom,  (! [A] :  (v1_xreal_0(A) => k17_sin_cos(k6_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), 3), A))=k17_sin_cos(k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 3), A))) ) ).
fof(t12_euclid10, axiom,  (! [A] :  (v1_xreal_0(A) => k19_sin_cos(k6_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), 3), A))=k4_xcmplx_0(k19_sin_cos(k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 3), A)))) ) ).
fof(t13_euclid10, axiom,  (! [A] :  (v1_xreal_0(A) => k17_sin_cos(k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), 3), A))=k17_sin_cos(k6_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 3), A))) ) ).
fof(t14_euclid10, axiom, k19_sin_cos(k7_xcmplx_0(k28_sin_cos, 3))=k7_xcmplx_0(1, 2)).
fof(t15_euclid10, axiom, k17_sin_cos(k7_xcmplx_0(k28_sin_cos, 3))=k7_xcmplx_0(k3_square_1(3), 2)).
fof(t16_euclid10, axiom, k1_sin_cos4(k7_xcmplx_0(k28_sin_cos, 3))=k3_square_1(3)).
fof(t17_euclid10, axiom, k17_sin_cos(k7_xcmplx_0(k28_sin_cos, 6))=k7_xcmplx_0(1, 2)).
fof(t18_euclid10, axiom, k19_sin_cos(k7_xcmplx_0(k28_sin_cos, 6))=k7_xcmplx_0(k3_square_1(3), 2)).
fof(t19_euclid10, axiom, k1_sin_cos4(k7_xcmplx_0(k28_sin_cos, 6))=k7_xcmplx_0(k3_square_1(3), 3)).
fof(t20_euclid10, axiom,  (k17_sin_cos(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 6)))=k4_xcmplx_0(k7_xcmplx_0(1, 2)) &  (k19_sin_cos(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 6)))=k7_xcmplx_0(k3_square_1(3), 2) &  (k1_sin_cos4(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 6)))=k4_xcmplx_0(k7_xcmplx_0(k3_square_1(3), 3)) &  (k17_sin_cos(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 3)))=k4_xcmplx_0(k7_xcmplx_0(k3_square_1(3), 2)) &  (k19_sin_cos(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 3)))=k7_xcmplx_0(1, 2) & k1_sin_cos4(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 3)))=k4_xcmplx_0(k3_square_1(3))) ) ) ) ) ).
fof(t21_euclid10, axiom,  (k2_sin_cos6(k7_xcmplx_0(1, 2))=k7_xcmplx_0(k28_sin_cos, 6) & k2_sin_cos6(k7_xcmplx_0(k3_square_1(3), 2))=k7_xcmplx_0(k28_sin_cos, 3)) ).
fof(t22_euclid10, axiom, k17_sin_cos(k7_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), 3))=k7_xcmplx_0(k3_square_1(3), 2)).
fof(t23_euclid10, axiom, k19_sin_cos(k7_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), 3))=k4_xcmplx_0(k7_xcmplx_0(1, 2))).
fof(t24_euclid10, axiom,  (! [A] :  (v1_xreal_0(A) => k1_square_1(k17_sin_cos(k4_xcmplx_0(A)))=k1_square_1(k17_sin_cos(A))) ) ).
fof(t25_euclid10, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (k2_xcmplx_0(k2_xcmplx_0(A, B), C)=k28_sin_cos => k6_xcmplx_0(k2_xcmplx_0(k1_square_1(k17_sin_cos(A)), k1_square_1(k17_sin_cos(B))), k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, k17_sin_cos(A)), k17_sin_cos(B)), k19_sin_cos(C)))=k1_square_1(k17_sin_cos(C))) ) ) ) ) ) ) ).
fof(t26_euclid10, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (k2_xcmplx_0(k6_xcmplx_0(A, B), C)=k28_sin_cos => k2_xcmplx_0(k2_xcmplx_0(k1_square_1(k17_sin_cos(A)), k1_square_1(k17_sin_cos(B))), k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, k17_sin_cos(A)), k17_sin_cos(B)), k19_sin_cos(C)))=k1_square_1(k17_sin_cos(C))) ) ) ) ) ) ) ).
fof(t27_euclid10, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (k2_xcmplx_0(k6_xcmplx_0(A, k2_xcmplx_0(k4_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos)), B)), C)=k28_sin_cos => k2_xcmplx_0(k2_xcmplx_0(k1_square_1(k17_sin_cos(A)), k1_square_1(k17_sin_cos(B))), k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, k17_sin_cos(A)), k17_sin_cos(B)), k19_sin_cos(C)))=k1_square_1(k17_sin_cos(C))) ) ) ) ) ) ) ).
fof(t28_euclid10, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k28_sin_cos, A), k6_xcmplx_0(k28_sin_cos, B)), C)=k28_sin_cos => k2_xcmplx_0(k2_xcmplx_0(k1_square_1(k17_sin_cos(A)), k1_square_1(k17_sin_cos(B))), k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, k17_sin_cos(A)), k17_sin_cos(B)), k19_sin_cos(C)))=k1_square_1(k17_sin_cos(C))) ) ) ) ) ) ) ).
fof(t29_euclid10, axiom,  (! [A] :  (v1_xreal_0(A) => k17_sin_cos(k3_xcmplx_0(3, A))=k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(4, k17_sin_cos(A)), k17_sin_cos(k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 3), A))), k17_sin_cos(k6_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 3), A)))) ) ).
fof(t30_euclid10, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  =>  ( ~ (v8_ordinal1(k4_euclid_3(A, B, C)))  &  ( ~ (v8_ordinal1(k4_euclid_3(B, C, A)))  &  ( ~ (v8_ordinal1(k4_euclid_3(C, A, B)))  &  ( ~ (v8_ordinal1(k4_euclid_3(A, C, B)))  &  ( ~ (v8_ordinal1(k4_euclid_3(C, B, A)))  &  ~ (v8_ordinal1(k4_euclid_3(B, A, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_euclid10, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  =>  (k4_euclid_3(A, B, C)=k6_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), k4_euclid_3(C, B, A)) &  (k4_euclid_3(B, C, A)=k6_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), k4_euclid_3(A, C, B)) &  (k4_euclid_3(C, A, B)=k6_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), k4_euclid_3(B, A, C)) &  (k4_euclid_3(B, A, C)=k6_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), k4_euclid_3(C, A, B)) &  (k4_euclid_3(A, C, B)=k6_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), k4_euclid_3(B, C, A)) & k4_euclid_3(C, B, A)=k6_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), k4_euclid_3(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_euclid10, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  &  (k22_rvsum_1(k5_algstr_0(k15_euclid(2), B, A), k5_algstr_0(k15_euclid(2), C, A))=k5_ordinal1 &  ( ~ (k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), C, B)), k17_sin_cos(k4_euclid_3(C, B, A)))=k12_euclid(k5_algstr_0(k15_euclid(2), A, C)))  &  ~ (k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), C, B)), k4_xcmplx_0(k17_sin_cos(k4_euclid_3(C, B, A))))=k12_euclid(k5_algstr_0(k15_euclid(2), A, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_euclid10, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (k4_euclid_3(B, A, C)=k7_xcmplx_0(k28_sin_cos, 2) =>  (r1_rltopsp1(k15_euclid(2), A, B, C) | k2_xcmplx_0(k4_euclid_3(C, B, A), k4_euclid_3(A, C, B))=k7_xcmplx_0(k28_sin_cos, 2)) ) ) ) ) ) ) ) ).
fof(t34_euclid10, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (k4_euclid_3(B, A, C)=k7_xcmplx_0(k28_sin_cos, 2) =>  (r1_rltopsp1(k15_euclid(2), A, B, C) |  (k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), C, B)), k17_sin_cos(k4_euclid_3(C, B, A)))=k12_euclid(k5_algstr_0(k15_euclid(2), A, C)) &  (k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), C, B)), k17_sin_cos(k4_euclid_3(A, C, B)))=k12_euclid(k5_algstr_0(k15_euclid(2), A, B)) &  (k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), C, B)), k19_sin_cos(k4_euclid_3(C, B, A)))=k12_euclid(k5_algstr_0(k15_euclid(2), A, B)) & k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), C, B)), k19_sin_cos(k4_euclid_3(A, C, B)))=k12_euclid(k5_algstr_0(k15_euclid(2), A, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_euclid10, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (k4_euclid_3(B, A, C)=k7_xcmplx_0(k28_sin_cos, 2) =>  (r1_rltopsp1(k15_euclid(2), A, B, C) |  (k1_sin_cos4(k4_euclid_3(A, C, B))=k7_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), A, B)), k12_euclid(k5_algstr_0(k15_euclid(2), A, C))) & k1_sin_cos4(k4_euclid_3(C, B, A))=k7_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), A, C)), k12_euclid(k5_algstr_0(k15_euclid(2), A, B)))) ) ) ) ) ) ) ) ) ).
fof(t36_euclid10, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k5_jgraph_6(A, B, k5_ordinal1)=k1_tarski(k19_euclid(A, B))) ) ) ) ).
fof(t37_euclid10, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (r2_tarski(A, k5_jgraph_6(D, E, F)) & r2_tarski(B, k5_jgraph_6(D, E, F)))  =>  (r1_rltopsp1(k15_euclid(2), A, B, C) | v2_xxreal_0(F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_euclid10, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_xreal_0(D) & v2_xxreal_0(D))  =>  ~ ( (r2_tarski(A, k5_jgraph_6(B, C, D)) & A=k19_euclid(B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t39_euclid10, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (r2_hidden(k4_euclid_3(C, B, A), k2_rcomp_1(k5_ordinal1, k28_sin_cos)) &  (r2_hidden(k4_euclid_3(B, A, C), k2_rcomp_1(k5_ordinal1, k28_sin_cos)) &  (r2_tarski(A, k5_jgraph_6(D, E, F)) &  (r2_tarski(B, k5_jgraph_6(D, E, F)) &  (r2_tarski(C, k5_jgraph_6(D, E, F)) & r2_tarski(k19_euclid(D, E), k1_rltopsp1(k15_euclid(2), A, C))) ) ) ) )  =>  (r1_rltopsp1(k15_euclid(2), A, B, C) | k4_euclid_3(C, B, A)=k7_xcmplx_0(k28_sin_cos, 2)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_euclid10, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  ( (v1_xreal_0(D) & v2_xxreal_0(D))  =>  ( ~ (v8_ordinal1(k4_euclid_3(A, B, C)))  => k17_sin_cos(k3_xcmplx_0(D, k4_euclid_3(C, B, A)))=k6_xcmplx_0(k3_xcmplx_0(k17_sin_cos(k3_xcmplx_0(k3_xcmplx_0(D, 2), k28_sin_cos)), k19_sin_cos(k3_xcmplx_0(D, k4_euclid_3(A, B, C)))), k3_xcmplx_0(k19_sin_cos(k3_xcmplx_0(k3_xcmplx_0(D, 2), k28_sin_cos)), k17_sin_cos(k3_xcmplx_0(D, k4_euclid_3(A, B, C)))))) ) ) ) ) ) ) ) ) ).
fof(t41_euclid10, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (v8_ordinal1(k4_euclid_3(A, B, C)))  => k17_sin_cos(k7_xcmplx_0(k4_euclid_3(C, B, A), 3))=k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k3_square_1(3), 2), k19_sin_cos(k7_xcmplx_0(k4_euclid_3(A, B, C), 3))), k3_xcmplx_0(k7_xcmplx_0(1, 2), k17_sin_cos(k7_xcmplx_0(k4_euclid_3(A, B, C), 3))))) ) ) ) ) ) ) ).
fof(t42_euclid10, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (k1_euclid_6(A, B, C)=k1_euclid_6(B, C, A) & k1_euclid_6(A, B, C)=k1_euclid_6(C, A, B)) ) ) ) ) ) ) ).
fof(t43_euclid10, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) => k1_euclid_6(A, B, C)=k4_xcmplx_0(k1_euclid_6(B, A, C))) ) ) ) ) ) ).
fof(d1_euclid10, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) => k1_euclid10(A, B, C)=k7_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), A, B)), k12_euclid(k5_algstr_0(k15_euclid(2), B, C))), k12_euclid(k5_algstr_0(k15_euclid(2), C, A))), 2), k1_euclid_6(A, B, C))) ) ) ) ) ) ).
fof(t44_euclid10, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  => k1_euclid10(A, B, C)=k7_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), C, A)), k17_sin_cos(k4_euclid_3(C, B, A)))) ) ) ) ) ) ) ).
fof(t45_euclid10, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  => k1_euclid10(A, B, C)=k4_xcmplx_0(k7_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), C, A)), k17_sin_cos(k4_euclid_3(A, B, C))))) ) ) ) ) ) ) ).
fof(t46_euclid10, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) => k1_euclid10(A, B, C)=k1_euclid10(B, C, A)) ) ) ) ) ) ).
fof(t47_euclid10, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  => k1_euclid10(A, B, C)=k4_xcmplx_0(k1_euclid10(B, A, C))) ) ) ) ) ) ) ).
fof(t48_euclid10, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  => k1_euclid10(A, B, C)=k4_xcmplx_0(k1_euclid10(A, C, B))) ) ) ) ) ) ) ).
fof(t49_euclid10, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  => k1_euclid10(A, B, C)=k4_xcmplx_0(k1_euclid10(C, B, A))) ) ) ) ) ) ) ).
fof(t50_euclid10, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  =>  (k12_euclid(k5_algstr_0(k15_euclid(2), A, B))=k3_xcmplx_0(k1_euclid10(A, B, C), k17_sin_cos(k4_euclid_3(A, C, B))) &  (k12_euclid(k5_algstr_0(k15_euclid(2), B, C))=k3_xcmplx_0(k1_euclid10(A, B, C), k17_sin_cos(k4_euclid_3(B, A, C))) & k12_euclid(k5_algstr_0(k15_euclid(2), C, A))=k3_xcmplx_0(k1_euclid10(A, B, C), k17_sin_cos(k4_euclid_3(C, B, A)))) ) ) ) ) ) ) ) ) ).
fof(t51_euclid10, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  => k12_euclid(k5_algstr_0(k15_euclid(2), A, B))=k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_euclid10(A, B, C), 4), k17_sin_cos(k7_xcmplx_0(k4_euclid_3(A, C, B), 3))), k17_sin_cos(k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 3), k7_xcmplx_0(k4_euclid_3(A, C, B), 3)))), k17_sin_cos(k6_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 3), k7_xcmplx_0(k4_euclid_3(A, C, B), 3))))) ) ) ) ) ) ) ).
fof(t52_euclid10, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r1_zfmisc_1(A, B, D) &  (k4_euclid_3(D, B, A)=k7_xcmplx_0(k4_euclid_3(C, B, A), 3) & k4_euclid_3(B, A, D)=k7_xcmplx_0(k4_euclid_3(B, A, C), 3)) )  =>  (r1_xxreal_0(k28_sin_cos, k4_euclid_3(A, D, B)) | k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), A, D)), k17_sin_cos(k6_xcmplx_0(k28_sin_cos, k2_xcmplx_0(k7_xcmplx_0(k4_euclid_3(C, B, A), 3), k7_xcmplx_0(k4_euclid_3(B, A, C), 3)))))=k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), A, B)), k17_sin_cos(k7_xcmplx_0(k4_euclid_3(C, B, A), 3)))) ) ) ) ) ) ) ) ) ) ).
fof(t53_euclid10, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r1_zfmisc_1(A, B, D) &  (k4_euclid_3(D, B, A)=k7_xcmplx_0(k4_euclid_3(C, B, A), 3) &  (k4_euclid_3(B, A, D)=k7_xcmplx_0(k4_euclid_3(B, A, C), 3) & k2_xcmplx_0(k2_xcmplx_0(k7_xcmplx_0(k4_euclid_3(C, B, A), 3), k7_xcmplx_0(k4_euclid_3(B, A, C), 3)), k7_xcmplx_0(k4_euclid_3(A, C, B), 3))=k7_xcmplx_0(k28_sin_cos, 3)) ) )  =>  (r1_xxreal_0(k28_sin_cos, k4_euclid_3(A, D, B)) | k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), A, D)), k17_sin_cos(k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), 3), k7_xcmplx_0(k4_euclid_3(A, C, B), 3))))=k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), A, B)), k17_sin_cos(k7_xcmplx_0(k4_euclid_3(C, B, A), 3)))) ) ) ) ) ) ) ) ) ) ).
fof(t54_euclid10, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  &  ( ~ (r1_xxreal_0(k28_sin_cos, k4_euclid_3(C, A, B)))  &  ~ ( (k2_xcmplx_0(k2_xcmplx_0(k4_euclid_3(C, B, A), k4_euclid_3(B, A, C)), k4_euclid_3(A, C, B))=k3_xcmplx_0(5, k28_sin_cos) & k2_xcmplx_0(k2_xcmplx_0(k4_euclid_3(C, A, B), k4_euclid_3(A, B, C)), k4_euclid_3(B, C, A))=k28_sin_cos) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_euclid10, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r1_zfmisc_1(A, B, D) &  (k4_euclid_3(D, B, A)=k7_xcmplx_0(k4_euclid_3(C, B, A), 3) & k4_euclid_3(B, A, D)=k7_xcmplx_0(k4_euclid_3(B, A, C), 3)) )  =>  (r1_rltopsp1(k15_euclid(2), A, B, C) |  (r1_xxreal_0(k28_sin_cos, k4_euclid_3(C, B, A)) |  (r1_xxreal_0(k28_sin_cos, k4_euclid_3(A, D, B)) | k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), A, D)), k17_sin_cos(k6_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 3), k7_xcmplx_0(k4_euclid_3(A, C, B), 3))))=k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), A, B)), k17_sin_cos(k7_xcmplx_0(k4_euclid_3(C, B, A), 3)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_euclid10, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (k4_euclid_3(D, B, A)=k7_xcmplx_0(k4_euclid_3(C, B, A), 3) & k4_euclid_3(B, A, D)=k7_xcmplx_0(k4_euclid_3(B, A, C), 3))  =>  (r1_rltopsp1(k15_euclid(2), A, B, C) |  (r1_rltopsp1(k15_euclid(2), A, B, D) |  (r1_xxreal_0(k28_sin_cos, k4_euclid_3(C, B, A)) |  (r1_xxreal_0(k28_sin_cos, k4_euclid_3(A, D, B)) |  (k17_sin_cos(k6_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 3), k7_xcmplx_0(k4_euclid_3(A, C, B), 3)))=k5_ordinal1 | k12_euclid(k5_algstr_0(k15_euclid(2), A, D))=k4_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_euclid10(C, B, A), 4), k17_sin_cos(k7_xcmplx_0(k4_euclid_3(A, C, B), 3))), k17_sin_cos(k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 3), k7_xcmplx_0(k4_euclid_3(A, C, B), 3)))), k17_sin_cos(k7_xcmplx_0(k4_euclid_3(C, B, A), 3))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_euclid10, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r1_zfmisc_1(A, B, C) & r2_tarski(C, k1_rltopsp1(k15_euclid(2), A, B)))  => k12_euclid(k5_algstr_0(k15_euclid(2), A, B))=k2_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), A, C)), k12_euclid(k5_algstr_0(k15_euclid(2), C, B)))) ) ) ) ) ) ) ).
fof(t58_euclid10, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_xreal_0(E) & v2_xxreal_0(E))  =>  ( (r1_zfmisc_1(A, B, k19_euclid(C, D)) &  (r2_tarski(A, k5_jgraph_6(C, D, E)) &  (r2_tarski(B, k5_jgraph_6(C, D, E)) & r2_tarski(k19_euclid(C, D), k1_rltopsp1(k15_euclid(2), A, B))) ) )  => k12_euclid(k5_algstr_0(k15_euclid(2), A, B))=k3_xcmplx_0(2, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_euclid10, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_xreal_0(C) & v2_xxreal_0(C))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k14_euclid(2)))) =>  (D=k5_jgraph_6(A, B, C) => k2_tbsp_1(k14_euclid(2), D)=k3_xcmplx_0(2, C)) ) ) ) ) ) ) ) ) ).
fof(dt_k1_euclid10, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, u1_struct_0(k15_euclid(2))) &  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) & m1_subset_1(C, u1_struct_0(k15_euclid(2)))) )  => v1_xreal_0(k1_euclid10(A, B, C))) ) ).
fof(t1_euclid11, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => k4_euclid_3(A, B, A)=k5_numbers) ) ) ) ).
fof(t2_euclid11, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r1_xxreal_0(k5_numbers, k4_euclid_3(A, B, C)) &  ~ (r1_xxreal_0(k3_xcmplx_0(2, k28_sin_cos), k4_euclid_3(A, B, C))) ) ) ) ) ) ) ) ).
fof(t3_euclid11, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ ( (r1_xxreal_0(k5_numbers, k4_euclid_3(A, B, C)) &  ~ (r1_xxreal_0(k28_sin_cos, k4_euclid_3(A, B, C))) ) )  &  ( ~ (k4_euclid_3(A, B, C)=k28_sin_cos)  &  ~ ( ( ~ (r1_xxreal_0(k4_euclid_3(A, B, C), k28_sin_cos))  &  ~ (r1_xxreal_0(k3_xcmplx_0(2, k28_sin_cos), k4_euclid_3(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_euclid11, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) => k1_square_1(k12_euclid(k5_algstr_0(k15_euclid(2), C, B)))=k6_xcmplx_0(k2_xcmplx_0(k1_square_1(k12_euclid(k5_algstr_0(k15_euclid(2), A, B))), k1_square_1(k12_euclid(k5_algstr_0(k15_euclid(2), A, C)))), k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, k12_euclid(k5_algstr_0(k15_euclid(2), A, B))), k12_euclid(k5_algstr_0(k15_euclid(2), A, C))), k19_sin_cos(k4_euclid_3(B, A, C))))) ) ) ) ) ) ).
fof(t5_euclid11, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r1_zfmisc_1(A, B, C) =>  (r1_xxreal_0(k4_euclid_3(A, B, C), k5_numbers) |  (r1_xxreal_0(k28_sin_cos, k4_euclid_3(A, B, C)) |  ( ~ (r1_xxreal_0(k4_euclid_3(B, C, A), k5_numbers))  &  ( ~ (r1_xxreal_0(k28_sin_cos, k4_euclid_3(B, C, A)))  &  ( ~ (r1_xxreal_0(k4_euclid_3(C, A, B), k5_numbers))  &  ~ (r1_xxreal_0(k28_sin_cos, k4_euclid_3(C, A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_euclid11, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_zfmisc_1(A, B, C) &  (k4_euclid_3(A, B, C)=k5_numbers &  ( ~ ( (k4_euclid_3(B, C, A)=k5_numbers & k4_euclid_3(C, A, B)=k28_sin_cos) )  &  ~ ( (k4_euclid_3(B, C, A)=k28_sin_cos &  (k4_euclid_3(C, A, B)=k5_numbers & k2_xcmplx_0(k2_xcmplx_0(k4_euclid_3(A, B, C), k4_euclid_3(B, C, A)), k4_euclid_3(C, A, B))=k28_sin_cos) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_euclid11, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r1_zfmisc_1(A, B, C) & k4_euclid_3(A, B, C)=k28_sin_cos)  =>  (k4_euclid_3(B, C, A)=k5_numbers &  (k4_euclid_3(C, A, B)=k5_numbers & k2_xcmplx_0(k2_xcmplx_0(k4_euclid_3(A, B, C), k4_euclid_3(B, C, A)), k4_euclid_3(C, A, B))=k28_sin_cos) ) ) ) ) ) ) ) ) ).
fof(t8_euclid11, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r1_zfmisc_1(A, B, C) =>  (r1_xxreal_0(k4_euclid_3(A, B, C), k28_sin_cos) |  ( ~ (r1_xxreal_0(k4_euclid_3(B, C, A), k28_sin_cos))  &  ~ (r1_xxreal_0(k4_euclid_3(C, A, B), k28_sin_cos)) ) ) ) ) ) ) ) ) ) ).
fof(t9_euclid11, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r1_zfmisc_1(A, B, C) =>  (r1_xxreal_0(k4_euclid_3(A, B, C), k28_sin_cos) | k2_xcmplx_0(k2_xcmplx_0(k4_euclid_3(A, B, C), k4_euclid_3(B, C, A)), k4_euclid_3(C, A, B))=k3_xcmplx_0(5, k28_sin_cos)) ) ) ) ) ) ) ) ).
fof(t10_euclid11, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (r1_xxreal_0(k28_sin_cos, k4_euclid_3(C, B, A)))  => r1_xxreal_0(k5_numbers, k1_euclid_6(A, B, C))) ) ) ) ) ) ) ).
fof(t11_euclid11, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (r1_xxreal_0(k28_sin_cos, k4_euclid_3(C, B, A)))  => r1_xxreal_0(k5_numbers, k1_euclid10(A, B, C))) ) ) ) ) ) ) ).
fof(t12_euclid11, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (k4_euclid_3(A, C, D)=k7_xcmplx_0(k4_euclid_3(A, C, B), 3) &  (k4_euclid_3(D, A, C)=k7_xcmplx_0(k4_euclid_3(B, A, C), 3) & k2_xcmplx_0(k2_xcmplx_0(k7_xcmplx_0(k4_euclid_3(A, C, B), 3), k7_xcmplx_0(k4_euclid_3(B, A, C), 3)), k7_xcmplx_0(k4_euclid_3(C, B, A), 3))=k7_xcmplx_0(k28_sin_cos, 3)) )  =>  (r1_rltopsp1(k15_euclid(2), A, D, C) |  (r1_xxreal_0(k28_sin_cos, k4_euclid_3(C, D, A)) | k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), A, D)), k17_sin_cos(k6_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 3), k7_xcmplx_0(k4_euclid_3(C, B, A), 3))))=k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), A, C)), k17_sin_cos(k7_xcmplx_0(k4_euclid_3(A, C, B), 3)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_euclid11, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (k4_euclid_3(A, C, D)=k7_xcmplx_0(k4_euclid_3(A, C, B), 3) &  (k4_euclid_3(D, A, C)=k7_xcmplx_0(k4_euclid_3(B, A, C), 3) & k2_xcmplx_0(k2_xcmplx_0(k7_xcmplx_0(k4_euclid_3(A, C, B), 3), k7_xcmplx_0(k4_euclid_3(B, A, C), 3)), k7_xcmplx_0(k4_euclid_3(C, B, A), 3))=k7_xcmplx_0(k28_sin_cos, 3)) )  =>  (r1_rltopsp1(k15_euclid(2), A, B, C) |  (r1_rltopsp1(k15_euclid(2), A, D, C) |  (r1_xxreal_0(k28_sin_cos, k4_euclid_3(C, D, A)) |  (k17_sin_cos(k6_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 3), k7_xcmplx_0(k4_euclid_3(C, B, A), 3)))=k5_numbers | k12_euclid(k5_algstr_0(k15_euclid(2), A, D))=k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(4, k1_euclid10(A, B, C)), k17_sin_cos(k7_xcmplx_0(k4_euclid_3(C, B, A), 3))), k17_sin_cos(k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 3), k7_xcmplx_0(k4_euclid_3(C, B, A), 3)))), k17_sin_cos(k7_xcmplx_0(k4_euclid_3(A, C, B), 3)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_euclid11, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ( (k4_euclid_3(B, A, D)=k7_xcmplx_0(k4_euclid_3(B, A, C), 3) & k4_euclid_3(E, A, C)=k7_xcmplx_0(k4_euclid_3(B, A, C), 3))  =>  (r1_rltopsp1(k15_euclid(2), C, A, B) |  (r1_rltopsp1(k15_euclid(2), A, E, C) |  (r1_rltopsp1(k15_euclid(2), E, A, D) |  (r1_rltopsp1(k15_euclid(2), D, A, B) | k4_euclid_3(D, A, E)=k7_xcmplx_0(k4_euclid_3(B, A, C), 3)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_euclid11, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ( (k4_euclid_3(B, A, D)=k7_xcmplx_0(k4_euclid_3(B, A, C), 3) & k4_euclid_3(E, A, C)=k7_xcmplx_0(k4_euclid_3(B, A, C), 3))  =>  (r1_rltopsp1(k15_euclid(2), C, A, B) |  (r1_xxreal_0(k28_sin_cos, k4_euclid_3(A, C, B)) |  (r1_rltopsp1(k15_euclid(2), A, E, C) |  (r1_rltopsp1(k15_euclid(2), E, A, D) |  (r1_rltopsp1(k15_euclid(2), D, A, B) | k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 3), k7_xcmplx_0(k4_euclid_3(A, C, B), 3)), k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 3), k7_xcmplx_0(k4_euclid_3(C, B, A), 3))), k4_euclid_3(D, A, E))=k28_sin_cos) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_euclid11, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_rltopsp1(k15_euclid(2), A, C, B))  & k17_sin_cos(k6_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 3), k7_xcmplx_0(k4_euclid_3(A, C, B), 3)))=k5_numbers) ) ) ) ) ) ) ) ).
fof(t17_euclid11, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ( (k4_euclid_3(D, B, A)=k7_xcmplx_0(k4_euclid_3(C, B, A), 3) &  (k4_euclid_3(B, A, D)=k7_xcmplx_0(k4_euclid_3(B, A, C), 3) &  (k4_euclid_3(A, C, E)=k7_xcmplx_0(k4_euclid_3(A, C, B), 3) & k4_euclid_3(E, A, C)=k7_xcmplx_0(k4_euclid_3(B, A, C), 3)) ) )  =>  (r1_rltopsp1(k15_euclid(2), A, B, C) |  (r1_rltopsp1(k15_euclid(2), A, B, D) |  (r1_rltopsp1(k15_euclid(2), A, E, C) |  (r1_xxreal_0(k28_sin_cos, k4_euclid_3(A, C, B)) | k12_euclid(k5_algstr_0(k15_euclid(2), E, D))=k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(4, k1_euclid10(A, B, C)), k17_sin_cos(k7_xcmplx_0(k4_euclid_3(A, C, B), 3))), k17_sin_cos(k7_xcmplx_0(k4_euclid_3(C, B, A), 3))), k17_sin_cos(k7_xcmplx_0(k4_euclid_3(B, A, C), 3)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_euclid11, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  &  (k4_euclid_3(D, B, A)=k7_xcmplx_0(k4_euclid_3(C, B, A), 3) &  (k4_euclid_3(B, A, D)=k7_xcmplx_0(k4_euclid_3(B, A, C), 3) & r1_rltopsp1(k15_euclid(2), A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_euclid11, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  &  (k4_euclid_3(A, C, D)=k7_xcmplx_0(k4_euclid_3(A, C, B), 3) &  (k4_euclid_3(D, A, C)=k7_xcmplx_0(k4_euclid_3(B, A, C), 3) & r1_rltopsp1(k15_euclid(2), A, D, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_euclid11, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  &  (k4_euclid_3(C, B, D)=k7_xcmplx_0(k4_euclid_3(C, B, A), 3) &  (k4_euclid_3(D, C, B)=k7_xcmplx_0(k4_euclid_3(A, C, B), 3) & r1_rltopsp1(k15_euclid(2), C, D, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_euclid11, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  ( (k4_euclid_3(D, B, A)=k7_xcmplx_0(k4_euclid_3(C, B, A), 3) &  (k4_euclid_3(B, A, D)=k7_xcmplx_0(k4_euclid_3(B, A, C), 3) &  (k4_euclid_3(A, C, E)=k7_xcmplx_0(k4_euclid_3(A, C, B), 3) &  (k4_euclid_3(E, A, C)=k7_xcmplx_0(k4_euclid_3(B, A, C), 3) &  (k4_euclid_3(C, B, F)=k7_xcmplx_0(k4_euclid_3(C, B, A), 3) & k4_euclid_3(F, C, B)=k7_xcmplx_0(k4_euclid_3(A, C, B), 3)) ) ) ) )  =>  (r1_rltopsp1(k15_euclid(2), A, B, C) |  (r1_xxreal_0(k28_sin_cos, k4_euclid_3(A, C, B)) |  (k12_euclid(k5_algstr_0(k15_euclid(2), E, D))=k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(4, k1_euclid10(A, B, C)), k17_sin_cos(k7_xcmplx_0(k4_euclid_3(A, C, B), 3))), k17_sin_cos(k7_xcmplx_0(k4_euclid_3(C, B, A), 3))), k17_sin_cos(k7_xcmplx_0(k4_euclid_3(B, A, C), 3))) &  (k12_euclid(k5_algstr_0(k15_euclid(2), F, E))=k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(4, k1_euclid10(C, A, B)), k17_sin_cos(k7_xcmplx_0(k4_euclid_3(C, B, A), 3))), k17_sin_cos(k7_xcmplx_0(k4_euclid_3(B, A, C), 3))), k17_sin_cos(k7_xcmplx_0(k4_euclid_3(A, C, B), 3))) & k12_euclid(k5_algstr_0(k15_euclid(2), D, F))=k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(4, k1_euclid10(B, C, A)), k17_sin_cos(k7_xcmplx_0(k4_euclid_3(B, A, C), 3))), k17_sin_cos(k7_xcmplx_0(k4_euclid_3(A, C, B), 3))), k17_sin_cos(k7_xcmplx_0(k4_euclid_3(C, B, A), 3)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_euclid11, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  ( (k4_euclid_3(D, B, A)=k7_xcmplx_0(k4_euclid_3(C, B, A), 3) &  (k4_euclid_3(B, A, D)=k7_xcmplx_0(k4_euclid_3(B, A, C), 3) &  (k4_euclid_3(A, C, E)=k7_xcmplx_0(k4_euclid_3(A, C, B), 3) &  (k4_euclid_3(E, A, C)=k7_xcmplx_0(k4_euclid_3(B, A, C), 3) &  (k4_euclid_3(C, B, F)=k7_xcmplx_0(k4_euclid_3(C, B, A), 3) & k4_euclid_3(F, C, B)=k7_xcmplx_0(k4_euclid_3(A, C, B), 3)) ) ) ) )  =>  (r1_rltopsp1(k15_euclid(2), A, B, C) |  (r1_xxreal_0(k28_sin_cos, k4_euclid_3(A, C, B)) |  (k12_euclid(k5_algstr_0(k15_euclid(2), E, D))=k12_euclid(k5_algstr_0(k15_euclid(2), F, E)) &  (k12_euclid(k5_algstr_0(k15_euclid(2), E, D))=k12_euclid(k5_algstr_0(k15_euclid(2), D, F)) & k12_euclid(k5_algstr_0(k15_euclid(2), F, E))=k12_euclid(k5_algstr_0(k15_euclid(2), D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_euclid11, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  ( (k4_euclid_3(D, C, A)=k7_xcmplx_0(k4_euclid_3(B, C, A), 3) &  (k4_euclid_3(C, A, D)=k7_xcmplx_0(k4_euclid_3(C, A, B), 3) &  (k4_euclid_3(A, B, E)=k7_xcmplx_0(k4_euclid_3(A, B, C), 3) &  (k4_euclid_3(E, A, B)=k7_xcmplx_0(k4_euclid_3(C, A, B), 3) &  (k4_euclid_3(B, C, F)=k7_xcmplx_0(k4_euclid_3(B, C, A), 3) & k4_euclid_3(F, B, C)=k7_xcmplx_0(k4_euclid_3(A, B, C), 3)) ) ) ) )  =>  (r1_rltopsp1(k15_euclid(2), A, B, C) |  (r1_xxreal_0(k28_sin_cos, k4_euclid_3(A, B, C)) |  (k12_euclid(k5_algstr_0(k15_euclid(2), E, D))=k12_euclid(k5_algstr_0(k15_euclid(2), F, E)) &  (k12_euclid(k5_algstr_0(k15_euclid(2), E, D))=k12_euclid(k5_algstr_0(k15_euclid(2), D, F)) & k12_euclid(k5_algstr_0(k15_euclid(2), F, E))=k12_euclid(k5_algstr_0(k15_euclid(2), D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_euclid12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(A))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(A))) =>  ( (F=k7_euclid(A, k9_euclid(A, D, k6_xcmplx_0(1, B)), k9_euclid(A, E, B)) & G=k7_euclid(A, k9_euclid(A, D, k6_xcmplx_0(1, C)), k9_euclid(A, E, C)))  => k5_algstr_0(k15_euclid(A), G, F)=k9_euclid(A, k8_euclid(A, E, D), k6_xcmplx_0(C, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_euclid12, axiom,  (! [A] :  (v1_xreal_0(A) =>  (k9_complex1(A)=k9_complex1(k6_xcmplx_0(1, A)) => A=k7_xcmplx_0(1, 2)) ) ) ).
fof(t3_euclid12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) => k2_euclid_4(A, B, B)=k1_tarski(B)) ) ) ) ).
fof(t4_euclid12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  ( (B=D & C=E)  => k5_rltopsp1(k15_euclid(A), B, C)=k2_euclid_4(A, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_euclid12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  ( (r2_tarski(D, k1_rltopsp1(k15_euclid(A), B, C)) &  (r2_tarski(B, E) &  (r2_tarski(D, E) & v1_euclid_4(E, A)) ) )  =>  (B=D | r2_tarski(C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_euclid12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) =>  (v1_euclid12(B, A) <=>  (? [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) & B=k1_tarski(C)) ) ) ) ) ) ) ).
fof(t6_euclid12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  ~ ( ( ~ (v1_euclid_4(B, A))  &  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  ~ (B=k1_tarski(C)) ) ) ) ) ) ) ) ) ).
fof(t7_euclid12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (v1_euclid_4(B, A) | v1_euclid12(B, A)) ) ) ) ) ).
fof(t8_euclid12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (v1_euclid_4(B, A) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  ~ (B=k1_tarski(C)) ) ) ) ) ) ) ) ).
fof(t9_euclid12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  ~ ( (v1_euclid_4(B, A) & v1_euclid12(B, A)) ) ) ) ) ) ).
fof(t10_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(C, k1_rltopsp1(k15_euclid(2), A, B)) => k12_euclid(k5_algstr_0(k15_euclid(2), A, B))=k2_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), A, C)), k12_euclid(k5_algstr_0(k15_euclid(2), C, B)))) ) ) ) ) ) ) ).
fof(t11_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (k12_euclid(k5_algstr_0(k15_euclid(2), A, B))=k2_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), A, C)), k12_euclid(k5_algstr_0(k15_euclid(2), C, B))) => r2_tarski(C, k1_rltopsp1(k15_euclid(2), A, B))) ) ) ) ) ) ) ).
fof(t12_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(A, k1_rltopsp1(k15_euclid(2), B, C)) <=> k2_xcmplx_0(k1_topreal6(2, B, A), k1_topreal6(2, A, C))=k1_topreal6(2, B, C)) ) ) ) ) ) ) ).
fof(t13_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k14_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k14_euclid(2))) =>  ( (r1_zfmisc_1(D, E, F) &  (D=A &  (E=B & F=C) ) )  =>  (r2_tarski(A, k1_rltopsp1(k15_euclid(2), B, C)) <=> r1_metric_1(k14_euclid(2), E, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k14_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k14_euclid(2))) =>  ( (r1_zfmisc_1(D, E, F) &  (D=A &  (E=B & F=C) ) )  =>  (r2_tarski(A, k1_rltopsp1(k15_euclid(2), B, C)) <=> r5_gtarski1(k14_euclid(2), E, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_euclid12, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(2)) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(2)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(2)) =>  ( (A=k19_euclid(k5_ordinal1, k5_ordinal1) &  (B=k19_euclid(1, k5_ordinal1) & C=k19_euclid(k5_ordinal1, 1)) )  => k1_euclid(2)=k4_euclidlp(2, A, B, C)) ) ) ) ) ) ) ).
fof(t16_euclid12, axiom, m2_subset_1(k1_euclid(2), k1_zfmisc_1(k1_euclid(2)), k5_euclidlp(2))).
fof(t17_euclid12, axiom,  ( ~ (k19_euclid(1, k5_ordinal1)=k19_euclid(k5_ordinal1, 1))  &  ( ~ (k19_euclid(1, k5_ordinal1)=k19_euclid(k5_ordinal1, k5_ordinal1))  &  ~ (k19_euclid(k5_ordinal1, 1)=k19_euclid(k5_ordinal1, k5_ordinal1)) ) ) ).
fof(t18_euclid12, axiom,  (! [A] :  (m2_subset_1(A, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  ~ ( (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(2)) => r2_tarski(B, A)) ) ) ) ) ).
fof(t19_euclid12, axiom,  (! [A] :  (m2_subset_1(A, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  (? [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) &  (v1_euclid12(B, 2) & r1_xboole_0(B, A)) ) ) ) ) ).
fof(t20_euclid12, axiom,  (! [A] :  (m2_subset_1(A, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  ~ ( ( ~ (r5_euclidlp(2, A, B))  &  ( (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(2)) =>  ( ~ (A=k1_tarski(C))  &  ~ (B=k1_tarski(C)) ) ) )  &  ~ ( (v1_euclid_4(A, 2) &  (v1_euclid_4(B, 2) &  (? [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(2)) & k9_subset_1(k1_euclid(2), A, B)=k1_tarski(C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_euclid12, axiom,  (! [A] :  (m2_subset_1(A, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  ~ ( ( ~ (r5_euclidlp(2, A, B))  &  ( ~ (v1_euclid12(A, 2))  &  ( ~ (v1_euclid12(B, 2))  &  ~ ( (v1_euclid_4(A, 2) &  (v1_euclid_4(B, 2) & v1_euclid12(k9_subset_1(k1_euclid(2), A, B), 2)) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  ( (v1_euclid12(k9_subset_1(k1_euclid(2), B, C), 2) & r2_tarski(A, k9_subset_1(k1_euclid(2), B, C)))  => k9_subset_1(k1_euclid(2), B, C)=k1_tarski(A)) ) ) ) ) ) ) ).
fof(d2_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => k1_euclid12(A, B)=k3_xcmplx_0(k7_xcmplx_0(1, 2), k12_euclid(k5_algstr_0(k15_euclid(2), A, B)))) ) ) ) ).
fof(t23_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => k1_euclid12(A, B)=k1_euclid12(B, A)) ) ) ) ).
fof(t24_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => k1_euclid12(A, A)=k5_ordinal1) ) ).
fof(t25_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => k12_euclid(k5_algstr_0(k15_euclid(2), A, k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), A, B), k7_xcmplx_0(1, 2))))=k3_xcmplx_0(k7_xcmplx_0(1, 2), k12_euclid(k5_algstr_0(k15_euclid(2), A, B)))) ) ) ) ).
fof(t26_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (r2_tarski(C, k1_rltopsp1(k15_euclid(2), A, B)) & k12_euclid(k5_algstr_0(k15_euclid(2), A, C))=k3_xcmplx_0(k7_xcmplx_0(1, 2), k12_euclid(k5_algstr_0(k15_euclid(2), A, B)))) ) ) ) ) ) ) ).
fof(t27_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (k12_euclid(k5_algstr_0(k15_euclid(2), A, B))=k12_euclid(k5_algstr_0(k15_euclid(2), A, C)) &  (r2_tarski(B, k1_rltopsp1(k15_euclid(2), A, D)) & r2_tarski(C, k1_rltopsp1(k15_euclid(2), A, D))) )  => B=C) ) ) ) ) ) ) ) ) ).
fof(d3_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (C=k2_euclid12(A, B) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) &  (r2_tarski(D, k1_rltopsp1(k15_euclid(2), A, B)) &  (C=D & k12_euclid(k5_algstr_0(k15_euclid(2), A, D))=k1_euclid12(A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => r2_tarski(k2_euclid12(A, B), k1_rltopsp1(k15_euclid(2), A, B))) ) ) ) ).
fof(t29_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => k2_euclid12(A, B)=k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), A, B), k7_xcmplx_0(1, 2))) ) ) ) ).
fof(t30_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => k2_euclid12(A, B)=k2_euclid12(B, A)) ) ) ) ).
fof(t31_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => k2_euclid12(A, A)=A) ) ).
fof(t32_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (k2_euclid12(A, B)=A => A=B) ) ) ) ) ).
fof(t33_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (k2_euclid12(A, B)=B => A=B) ) ) ) ) ).
fof(t34_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(C, k1_rltopsp1(k15_euclid(2), A, B)) & k12_euclid(k5_algstr_0(k15_euclid(2), A, C))=k12_euclid(k5_algstr_0(k15_euclid(2), B, C)))  => k1_euclid12(A, B)=k12_euclid(k5_algstr_0(k15_euclid(2), A, C))) ) ) ) ) ) ) ).
fof(t35_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(C, k1_rltopsp1(k15_euclid(2), A, B)) & k12_euclid(k5_algstr_0(k15_euclid(2), A, C))=k12_euclid(k5_algstr_0(k15_euclid(2), B, C)))  => C=k2_euclid12(A, B)) ) ) ) ) ) ) ).
fof(t36_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => k12_euclid(k5_algstr_0(k15_euclid(2), A, k2_euclid12(A, B)))=k12_euclid(k5_algstr_0(k15_euclid(2), k2_euclid12(A, B), B))) ) ) ) ).
fof(t37_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (v1_xreal_0(D) =>  ( (v2_xxreal_0(D) & k12_euclid(k5_algstr_0(k15_euclid(2), A, C))=k3_xcmplx_0(D, k12_euclid(k5_algstr_0(k15_euclid(2), A, B))))  =>  (A=B |  (D=1 | r1_zfmisc_1(A, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(C, k1_rltopsp1(k15_euclid(2), A, B)) & k12_euclid(k5_algstr_0(k15_euclid(2), A, C))=k3_xcmplx_0(k7_xcmplx_0(1, 2), k12_euclid(k5_algstr_0(k15_euclid(2), A, B))))  => k12_euclid(k5_algstr_0(k15_euclid(2), B, C))=k3_xcmplx_0(k7_xcmplx_0(1, 2), k12_euclid(k5_algstr_0(k15_euclid(2), A, B)))) ) ) ) ) ) ) ).
fof(t39_euclid12, axiom,  (! [A] :  (m2_subset_1(A, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) => r7_euclidlp(2, A, B)) ) ) ) ).
fof(t40_euclid12, axiom,  (! [A] :  (m2_subset_1(A, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  ~ ( (r6_euclidlp(2, A, B) & r1_xboole_0(A, B)) ) ) ) ) ) ).
fof(t41_euclid12, axiom,  (! [A] :  (m2_subset_1(A, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  ( (v1_euclid_4(A, 2) &  (v1_euclid_4(B, 2) & r1_xboole_0(A, B)) )  => r5_euclidlp(2, A, B)) ) ) ) ) ).
fof(t42_euclid12, axiom,  (! [A] :  (m2_subset_1(A, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  ~ ( ( ~ (A=B)  &  ( ~ (r1_xboole_0(A, B))  &  ( (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(2)) =>  ( ~ (A=k1_tarski(C))  &  ~ (B=k1_tarski(C)) ) ) )  &  ~ ( (v1_euclid_4(A, 2) &  (v1_euclid_4(B, 2) &  (? [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(2)) & k9_subset_1(k1_euclid(2), A, B)=k1_tarski(C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_euclid12, axiom,  (! [A] :  (m2_subset_1(A, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  ~ ( (r6_euclidlp(2, A, B) &  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(2)) =>  ~ (k9_subset_1(k1_euclid(2), A, B)=k1_tarski(C)) ) ) ) ) ) ) ) ) ).
fof(t44_euclid12, axiom,  (! [A] :  (m2_subset_1(A, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  (r6_euclidlp(2, A, B) => v1_euclid12(k9_subset_1(k1_euclid(2), A, B), 2)) ) ) ) ) ).
fof(t45_euclid12, axiom,  (! [A] :  (m2_subset_1(A, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  ~ ( (r6_euclidlp(2, A, B) & r5_euclidlp(2, A, B)) ) ) ) ) ) ).
fof(t46_euclid12, axiom,  (! [A] :  (m2_subset_1(A, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  ~ ( (v1_euclid_4(A, 2) &  (v1_euclid_4(B, 2) &  (r5_euclidlp(2, A, B) & r6_euclidlp(2, A, B)) ) ) ) ) ) ) ) ).
fof(t47_euclid12, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(2)) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  ~ ( (v1_euclid_4(B, 2) &  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  ~ ( (r2_tarski(A, C) & r6_euclidlp(2, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t48_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  ( (r6_euclidlp(2, D, E) &  (D=k5_rltopsp1(k15_euclid(2), A, B) & E=k5_rltopsp1(k15_euclid(2), C, F)) )  => k22_rvsum_1(k5_algstr_0(k15_euclid(2), B, A), k5_algstr_0(k15_euclid(2), F, C))=k5_ordinal1) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  ( (v1_euclid_4(C, 2) &  (r2_tarski(A, C) & r2_tarski(B, C)) )  =>  (A=B | C=k5_rltopsp1(k15_euclid(2), A, B)) ) ) ) ) ) ) ) ).
fof(t50_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  ~ ( (r6_euclidlp(2, D, E) &  (r2_tarski(C, k9_subset_1(k1_euclid(2), D, E)) &  (r2_tarski(A, D) &  (r2_tarski(B, E) &  ( ~ (A=C)  &  ( ~ (B=C)  &  ( ~ (k4_euclid_3(A, C, B)=k7_xcmplx_0(k28_sin_cos, 2))  &  ~ (k4_euclid_3(A, C, B)=k7_xcmplx_0(k3_xcmplx_0(3, k28_sin_cos), 2)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  ~ ( (r6_euclidlp(2, D, E) &  (r2_tarski(C, k9_subset_1(k1_euclid(2), D, E)) &  (r2_tarski(A, D) &  (r2_tarski(B, E) &  ( ~ (A=C)  &  ( ~ (B=C)  & r1_rltopsp1(k15_euclid(2), A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  ~ ( ( ~ (A=B)  &  (D=k5_rltopsp1(k15_euclid(2), A, B) &  (r2_tarski(C, k1_rltopsp1(k15_euclid(2), A, B)) &  (k12_euclid(k5_algstr_0(k15_euclid(2), A, C))=k3_xcmplx_0(k7_xcmplx_0(1, 2), k12_euclid(k5_algstr_0(k15_euclid(2), A, B))) &  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  ~ ( (r2_tarski(C, E) & r6_euclidlp(2, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( ~ (A=B)  =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  (C=k3_euclid12(A, B) <=>  (? [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) &  (? [E] :  (m2_subset_1(E, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) &  (C=E &  (D=k5_rltopsp1(k15_euclid(2), A, B) &  (r6_euclidlp(2, D, E) & k9_subset_1(k1_euclid(2), D, E)=k1_tarski(k2_euclid12(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( ~ (A=B)  => v1_euclid_4(k3_euclid12(A, B), 2)) ) ) ) ) ).
fof(t54_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( ~ (A=B)  => k3_euclid12(A, B)=k3_euclid12(B, A)) ) ) ) ) ).
fof(t55_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  ( (D=k5_rltopsp1(k15_euclid(2), A, B) &  (r2_tarski(C, k1_rltopsp1(k15_euclid(2), A, B)) &  (k12_euclid(k5_algstr_0(k15_euclid(2), A, C))=k3_xcmplx_0(k7_xcmplx_0(1, 2), k12_euclid(k5_algstr_0(k15_euclid(2), A, B))) &  (r2_tarski(C, E) &  (r6_euclidlp(2, D, E) & r2_tarski(F, E)) ) ) ) )  =>  (A=B | k12_euclid(k5_algstr_0(k15_euclid(2), F, A))=k12_euclid(k5_algstr_0(k15_euclid(2), F, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(C, k3_euclid12(A, B)) =>  (A=B | k12_euclid(k5_algstr_0(k15_euclid(2), C, A))=k12_euclid(k5_algstr_0(k15_euclid(2), C, B))) ) ) ) ) ) ) ) ).
fof(t57_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(C, k5_rltopsp1(k15_euclid(2), A, B)) & k12_euclid(k5_algstr_0(k15_euclid(2), A, C))=k12_euclid(k5_algstr_0(k15_euclid(2), B, C)))  => r2_tarski(C, k1_rltopsp1(k15_euclid(2), A, B))) ) ) ) ) ) ) ).
fof(t58_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( ~ (A=B)  => r2_tarski(k2_euclid12(A, B), k3_euclid12(A, B))) ) ) ) ) ).
fof(t59_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  ( (C=k5_rltopsp1(k15_euclid(2), A, B) &  (r6_euclidlp(2, C, D) & r2_tarski(k2_euclid12(A, B), D)) )  =>  (A=B | D=k3_euclid12(A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t60_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (k12_euclid(k5_algstr_0(k15_euclid(2), C, A))=k12_euclid(k5_algstr_0(k15_euclid(2), C, B)) =>  (A=B | r2_tarski(C, k3_euclid12(A, B))) ) ) ) ) ) ) ) ).
fof(t61_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  => v1_euclid12(k9_subset_1(k1_euclid(2), k3_euclid12(A, B), k3_euclid12(B, C)), 2)) ) ) ) ) ) ) ).
fof(t62_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ ( (k9_subset_1(k1_euclid(2), k3_euclid12(A, B), k3_euclid12(B, C))=k1_tarski(D) &  (k9_subset_1(k1_euclid(2), k3_euclid12(B, C), k3_euclid12(C, A))=k1_tarski(D) &  (k9_subset_1(k1_euclid(2), k3_euclid12(C, A), k3_euclid12(A, B))=k1_tarski(D) &  (k12_euclid(k5_algstr_0(k15_euclid(2), D, A))=k12_euclid(k5_algstr_0(k15_euclid(2), D, B)) &  (k12_euclid(k5_algstr_0(k15_euclid(2), D, A))=k12_euclid(k5_algstr_0(k15_euclid(2), D, C)) & k12_euclid(k5_algstr_0(k15_euclid(2), D, B))=k12_euclid(k5_algstr_0(k15_euclid(2), D, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (D=k4_euclid12(A, B, C) <=>  (k9_subset_1(k1_euclid(2), k3_euclid12(A, B), k3_euclid12(B, C))=k1_tarski(D) &  (k9_subset_1(k1_euclid(2), k3_euclid12(B, C), k3_euclid12(C, A))=k1_tarski(D) & k9_subset_1(k1_euclid(2), k3_euclid12(C, A), k3_euclid12(A, B))=k1_tarski(D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  => k5_euclid12(A, B, C)=k12_euclid(k5_algstr_0(k15_euclid(2), k4_euclid12(A, B, C), A))) ) ) ) ) ) ) ).
fof(t63_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( (r2_tarski(A, k5_jgraph_6(D, E, F)) &  (r2_tarski(B, k5_jgraph_6(D, E, F)) & r2_tarski(C, k5_jgraph_6(D, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_euclid12, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (r2_tarski(B, k5_jgraph_6(A, E, F)) &  (r2_tarski(C, k5_jgraph_6(A, E, F)) & r2_tarski(D, k5_jgraph_6(A, E, F))) )  =>  (r1_rltopsp1(k15_euclid(2), B, C, D) |  (k19_euclid(A, E)=k4_euclid12(B, C, D) & F=k12_euclid(k5_algstr_0(k15_euclid(2), k4_euclid12(B, C, D), B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  & r1_xxreal_0(k5_euclid12(A, B, C), k5_ordinal1)) ) ) ) ) ) ) ) ).
fof(t66_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  =>  (k12_euclid(k5_algstr_0(k15_euclid(2), k4_euclid12(A, B, C), A))=k12_euclid(k5_algstr_0(k15_euclid(2), k4_euclid12(A, B, C), B)) &  (k12_euclid(k5_algstr_0(k15_euclid(2), k4_euclid12(A, B, C), A))=k12_euclid(k5_algstr_0(k15_euclid(2), k4_euclid12(A, B, C), C)) & k12_euclid(k5_algstr_0(k15_euclid(2), k4_euclid12(A, B, C), B))=k12_euclid(k5_algstr_0(k15_euclid(2), k4_euclid12(A, B, C), C))) ) ) ) ) ) ) ) ) ).
fof(t67_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  =>  (k5_euclid12(A, B, C)=k12_euclid(k5_algstr_0(k15_euclid(2), k4_euclid12(A, B, C), B)) & k5_euclid12(A, B, C)=k12_euclid(k5_algstr_0(k15_euclid(2), k4_euclid12(A, B, C), C))) ) ) ) ) ) ) ) ).
fof(t68_euclid12, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  ( (r2_tarski(B, k5_jgraph_6(A, E, H)) &  (r2_tarski(C, k5_jgraph_6(A, E, H)) &  (r2_tarski(D, k5_jgraph_6(A, E, H)) &  (r2_tarski(B, k5_jgraph_6(F, G, I)) &  (r2_tarski(C, k5_jgraph_6(F, G, I)) & r2_tarski(D, k5_jgraph_6(F, G, I))) ) ) ) )  =>  (r1_rltopsp1(k15_euclid(2), B, C, D) |  (A=F &  (E=G & H=I) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t69_euclid12, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( ~ (C=D)  => r1_xboole_0(k5_jgraph_6(A, B, C), k5_jgraph_6(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t70_euclid12, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_rltopsp1(k15_euclid(2), B, C, D))  &  (r2_tarski(B, k5_jgraph_6(A, F, G)) &  (r2_tarski(C, k5_jgraph_6(A, F, G)) &  (r2_tarski(D, k5_jgraph_6(A, F, G)) &  ( ~ (r1_rltopsp1(k15_euclid(2), B, C, E))  &  (r2_tarski(B, k5_jgraph_6(A, F, G)) &  (r2_tarski(C, k5_jgraph_6(A, F, G)) &  (r2_tarski(E, k5_jgraph_6(A, F, G)) &  ( ~ (D=E)  &  ( ~ (k1_euclid10(B, C, D)=k1_euclid10(E, C, D))  &  ~ (k1_euclid10(B, C, D)=k4_xcmplx_0(k1_euclid10(E, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_euclid12, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_rltopsp1(k15_euclid(2), B, C, D))  &  (r2_tarski(B, k5_jgraph_6(A, E, F)) &  (r2_tarski(C, k5_jgraph_6(A, E, F)) &  (r2_tarski(D, k5_jgraph_6(A, E, F)) &  ( ~ (k1_euclid10(B, C, D)=k3_xcmplx_0(2, F))  &  ~ (k1_euclid10(B, C, D)=k4_xcmplx_0(k3_xcmplx_0(2, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t72_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  &  ( ~ (r1_xxreal_0(k4_euclid_3(C, B, A), k5_ordinal1))  &  ( ~ (r1_xxreal_0(k28_sin_cos, k4_euclid_3(C, B, A)))  & r1_xxreal_0(k1_euclid10(A, B, C), k5_ordinal1)) ) ) ) ) ) ) ) ) ) ).
fof(t73_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  &  ( ~ (r1_xxreal_0(k4_euclid_3(C, B, A), k28_sin_cos))  &  ( ~ (r1_xxreal_0(k3_xcmplx_0(2, k28_sin_cos), k4_euclid_3(C, B, A)))  & r1_xxreal_0(k5_ordinal1, k1_euclid10(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t74_euclid12, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (r2_tarski(B, k5_jgraph_6(A, E, F)) &  (r2_tarski(C, k5_jgraph_6(A, E, F)) & r2_tarski(D, k5_jgraph_6(A, E, F))) )  =>  (r1_rltopsp1(k15_euclid(2), B, C, D) |  (r1_xxreal_0(k4_euclid_3(D, C, B), k5_ordinal1) |  (r1_xxreal_0(k28_sin_cos, k4_euclid_3(D, C, B)) | k1_euclid10(B, C, D)=k3_xcmplx_0(2, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_euclid12, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (r2_tarski(B, k5_jgraph_6(A, E, F)) &  (r2_tarski(C, k5_jgraph_6(A, E, F)) & r2_tarski(D, k5_jgraph_6(A, E, F))) )  =>  (r1_rltopsp1(k15_euclid(2), B, C, D) |  (r1_xxreal_0(k4_euclid_3(D, C, B), k28_sin_cos) |  (r1_xxreal_0(k3_xcmplx_0(2, k28_sin_cos), k4_euclid_3(D, C, B)) | k1_euclid10(B, C, D)=k4_xcmplx_0(k3_xcmplx_0(2, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t76_euclid12, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (r2_tarski(B, k5_jgraph_6(A, E, F)) &  (r2_tarski(C, k5_jgraph_6(A, E, F)) & r2_tarski(D, k5_jgraph_6(A, E, F))) )  =>  (r1_rltopsp1(k15_euclid(2), B, C, D) |  (r1_xxreal_0(k4_euclid_3(D, C, B), k5_ordinal1) |  (r1_xxreal_0(k28_sin_cos, k4_euclid_3(D, C, B)) |  (k12_euclid(k5_algstr_0(k15_euclid(2), B, C))=k3_xcmplx_0(k3_xcmplx_0(2, F), k17_sin_cos(k4_euclid_3(B, D, C))) &  (k12_euclid(k5_algstr_0(k15_euclid(2), C, D))=k3_xcmplx_0(k3_xcmplx_0(2, F), k17_sin_cos(k4_euclid_3(C, B, D))) & k12_euclid(k5_algstr_0(k15_euclid(2), D, B))=k3_xcmplx_0(k3_xcmplx_0(2, F), k17_sin_cos(k4_euclid_3(D, C, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t77_euclid12, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (r2_tarski(B, k5_jgraph_6(A, E, F)) &  (r2_tarski(C, k5_jgraph_6(A, E, F)) & r2_tarski(D, k5_jgraph_6(A, E, F))) )  =>  (r1_rltopsp1(k15_euclid(2), B, C, D) |  (r1_xxreal_0(k4_euclid_3(D, C, B), k28_sin_cos) |  (r1_xxreal_0(k3_xcmplx_0(2, k28_sin_cos), k4_euclid_3(D, C, B)) |  (k12_euclid(k5_algstr_0(k15_euclid(2), B, C))=k4_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, F), k17_sin_cos(k4_euclid_3(B, D, C)))) &  (k12_euclid(k5_algstr_0(k15_euclid(2), C, D))=k4_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, F), k17_sin_cos(k4_euclid_3(C, B, D)))) & k12_euclid(k5_algstr_0(k15_euclid(2), D, B))=k4_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, F), k17_sin_cos(k4_euclid_3(D, C, B))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t78_euclid12, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (r2_tarski(B, k5_jgraph_6(A, E, F)) &  (r2_tarski(C, k5_jgraph_6(A, E, F)) & r2_tarski(D, k5_jgraph_6(A, E, F))) )  =>  (r1_rltopsp1(k15_euclid(2), B, C, D) |  (r1_xxreal_0(k4_euclid_3(D, C, B), k5_ordinal1) |  (r1_xxreal_0(k28_sin_cos, k4_euclid_3(D, C, B)) |  (k7_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), B, C)), k17_sin_cos(k4_euclid_3(B, D, C)))=k3_xcmplx_0(2, F) &  (k7_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), C, D)), k17_sin_cos(k4_euclid_3(C, B, D)))=k3_xcmplx_0(2, F) & k7_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), D, B)), k17_sin_cos(k4_euclid_3(D, C, B)))=k3_xcmplx_0(2, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t79_euclid12, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (r2_tarski(B, k5_jgraph_6(A, E, F)) &  (r2_tarski(C, k5_jgraph_6(A, E, F)) & r2_tarski(D, k5_jgraph_6(A, E, F))) )  =>  (r1_rltopsp1(k15_euclid(2), B, C, D) |  (r1_xxreal_0(k4_euclid_3(D, C, B), k28_sin_cos) |  (r1_xxreal_0(k3_xcmplx_0(2, k28_sin_cos), k4_euclid_3(D, C, B)) |  (k7_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), B, C)), k17_sin_cos(k4_euclid_3(B, D, C)))=k4_xcmplx_0(k3_xcmplx_0(2, F)) &  (k7_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), C, D)), k17_sin_cos(k4_euclid_3(C, B, D)))=k4_xcmplx_0(k3_xcmplx_0(2, F)) & k7_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), D, B)), k17_sin_cos(k4_euclid_3(D, C, B)))=k4_xcmplx_0(k3_xcmplx_0(2, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t80_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  ( (D=k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), B, k6_xcmplx_0(1, k7_xcmplx_0(1, 2))), k1_rlvect_1(k15_euclid(2), C, k7_xcmplx_0(1, 2))) &  (E=k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), C, k6_xcmplx_0(1, k7_xcmplx_0(1, 2))), k1_rlvect_1(k15_euclid(2), A, k7_xcmplx_0(1, 2))) & F=k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), A, k6_xcmplx_0(1, k7_xcmplx_0(1, 2))), k1_rlvect_1(k15_euclid(2), B, k7_xcmplx_0(1, 2)))) )  =>  (r1_rltopsp1(k15_euclid(2), A, B, C) | r1_menelaus(k5_rltopsp1(k15_euclid(2), A, D), k5_rltopsp1(k15_euclid(2), B, E), k5_rltopsp1(k15_euclid(2), C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) => k6_euclid12(A, B, C)=k5_rltopsp1(k15_euclid(2), A, k2_euclid12(B, C))) ) ) ) ) ) ).
fof(t81_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => k6_euclid12(A, A, A)=k1_tarski(A)) ) ).
fof(t82_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => k6_euclid12(A, A, B)=k5_rltopsp1(k15_euclid(2), A, B)) ) ) ) ).
fof(t83_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => k6_euclid12(A, B, A)=k5_rltopsp1(k15_euclid(2), A, B)) ) ) ) ).
fof(t84_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => k6_euclid12(B, A, A)=k5_rltopsp1(k15_euclid(2), A, B)) ) ) ) ).
fof(t85_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  => v1_euclid_4(k6_euclid12(A, B, C), 2)) ) ) ) ) ) ) ).
fof(t86_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(D, k6_euclid12(A, B, C)) &  (r2_tarski(D, k6_euclid12(B, C, A)) & r2_tarski(D, k6_euclid12(C, A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t87_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ ( (k9_subset_1(k1_euclid(2), k6_euclid12(A, B, C), k6_euclid12(B, C, A))=k1_tarski(D) &  (k9_subset_1(k1_euclid(2), k6_euclid12(B, C, A), k6_euclid12(C, A, B))=k1_tarski(D) & k9_subset_1(k1_euclid(2), k6_euclid12(C, A, B), k6_euclid12(A, B, C))=k1_tarski(D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_euclid12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (D=k7_euclid12(A, B, C) <=>  (k9_subset_1(k1_euclid(2), k6_euclid12(A, B, C), k6_euclid12(B, C, A))=k1_tarski(D) &  (k9_subset_1(k1_euclid(2), k6_euclid12(B, C, A), k6_euclid12(C, A, B))=k1_tarski(D) & k9_subset_1(k1_euclid(2), k6_euclid12(C, A, B), k6_euclid12(A, B, C))=k1_tarski(D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_euclid12, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k15_euclid(2))) & m1_subset_1(B, u1_struct_0(k15_euclid(2))))  => v1_xreal_0(k1_euclid12(A, B))) ) ).
fof(dt_k2_euclid12, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k15_euclid(2))) & m1_subset_1(B, u1_struct_0(k15_euclid(2))))  => m1_subset_1(k2_euclid12(A, B), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k3_euclid12, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k15_euclid(2))) & m1_subset_1(B, u1_struct_0(k15_euclid(2))))  => m2_subset_1(k3_euclid12(A, B), k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2))) ) ).
fof(dt_k4_euclid12, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, u1_struct_0(k15_euclid(2))) &  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) & m1_subset_1(C, u1_struct_0(k15_euclid(2)))) )  => m1_subset_1(k4_euclid12(A, B, C), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k5_euclid12, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, u1_struct_0(k15_euclid(2))) &  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) & m1_subset_1(C, u1_struct_0(k15_euclid(2)))) )  => v1_xreal_0(k5_euclid12(A, B, C))) ) ).
fof(dt_k6_euclid12, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, u1_struct_0(k15_euclid(2))) &  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) & m1_subset_1(C, u1_struct_0(k15_euclid(2)))) )  => m2_subset_1(k6_euclid12(A, B, C), k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2))) ) ).
fof(dt_k7_euclid12, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, u1_struct_0(k15_euclid(2))) &  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) & m1_subset_1(C, u1_struct_0(k15_euclid(2)))) )  => m1_subset_1(k7_euclid12(A, B, C), u1_struct_0(k15_euclid(2)))) ) ).
fof(t1_euclid13, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(k3_xcmplx_0(A, B), k5_ordinal1))  &  ( ~ (r1_xxreal_0(B, k3_xcmplx_0(A, B)))  &  ~ (A=1) ) ) ) ) ) ) ) ).
fof(t2_euclid13, axiom,  (! [A] :  (v1_int_1(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k7_xcmplx_0(k4_xcmplx_0(3), 2)))  &  ( ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), A))  &  ( ~ (A=k5_ordinal1)  &  ~ (A=k4_xcmplx_0(1)) ) ) ) ) ) ) ).
fof(t3_euclid13, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (v8_ordinal1(A))  &  ( ~ (v8_ordinal1(B))  &  ( ~ (v8_ordinal1(C))  &  ~ (k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(A), k4_xcmplx_0(B)), k7_xcmplx_0(k4_xcmplx_0(C), k4_xcmplx_0(A))), k7_xcmplx_0(k4_xcmplx_0(B), k4_xcmplx_0(C)))=1) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_euclid13, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_ordinal1))  &  ( ~ (r1_xxreal_0(k3_xcmplx_0(2, k28_sin_cos), A))  & k17_sin_cos(k7_xcmplx_0(A, 2))=k5_ordinal1) ) ) ) ) ).
fof(t5_euclid13, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos))))  &  ( ~ (r1_xxreal_0(k5_ordinal1, A))  & k17_sin_cos(k7_xcmplx_0(A, 2))=k5_ordinal1) ) ) ) ) ).
fof(t6_euclid13, axiom,  (! [A] :  (v1_xreal_0(A) => k1_sin_cos4(k6_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), A))=k4_xcmplx_0(k1_sin_cos4(A))) ) ).
fof(t7_euclid13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (r2_tarski(B, k5_rltopsp1(k15_euclid(A), C, D)) =>  (B=D | k5_rltopsp1(k15_euclid(A), C, D)=k5_rltopsp1(k15_euclid(A), B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t8_euclid13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (r2_tarski(B, k5_rltopsp1(k15_euclid(A), C, D)) =>  (B=D | r2_tarski(C, k5_rltopsp1(k15_euclid(A), B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t9_euclid13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  ( (k22_rvsum_1(k5_algstr_0(k15_euclid(A), B, C), k5_algstr_0(k15_euclid(A), B, D))=k5_ordinal1 &  (E=k5_rltopsp1(k15_euclid(A), B, C) & F=k5_rltopsp1(k15_euclid(A), B, D)) )  =>  (B=C |  (B=D | r6_euclidlp(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_euclid13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  ~ ( ( ~ (C=D)  &  (k22_rvsum_1(k5_algstr_0(k15_euclid(A), C, B), k5_algstr_0(k15_euclid(A), C, D))=k5_ordinal1 & B=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_euclid13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) => k22_rvsum_1(k5_algstr_0(k15_euclid(A), B, C), k5_algstr_0(k15_euclid(A), B, D))=k22_rvsum_1(k5_algstr_0(k15_euclid(A), C, B), k5_algstr_0(k15_euclid(A), D, B))) ) ) ) ) ) ) ) ).
fof(t12_euclid13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(A))) =>  ( (B=k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k22_rvsum_1(D, E), k22_rvsum_1(E, E)), k22_rvsum_1(C, D)), k22_rvsum_1(C, E)), k22_rvsum_1(k5_algstr_0(k15_euclid(A), D, E), k5_algstr_0(k15_euclid(A), D, E)))) & F=k3_rlvect_1(k15_euclid(A), k1_rlvect_1(k15_euclid(A), D, B), k1_rlvect_1(k15_euclid(A), E, k6_xcmplx_0(1, B))))  =>  (D=E | k22_rvsum_1(k5_algstr_0(k15_euclid(A), F, C), k5_algstr_0(k15_euclid(A), F, E))=k5_ordinal1) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_euclid13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  ( (E=k3_rlvect_1(k15_euclid(A), k1_rlvect_1(k15_euclid(A), C, B), k1_rlvect_1(k15_euclid(A), D, k6_xcmplx_0(1, B))) & E=D)  =>  (C=D | B=k5_ordinal1) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_euclid13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k22_rvsum_1(C, D), k22_rvsum_1(D, D)), k22_rvsum_1(B, C)), k22_rvsum_1(B, D))=k22_rvsum_1(k5_algstr_0(k15_euclid(A), D, B), k5_algstr_0(k15_euclid(A), C, D)) & k2_xcmplx_0(k22_rvsum_1(k5_algstr_0(k15_euclid(A), C, D), k5_algstr_0(k15_euclid(A), C, D)), k22_rvsum_1(k5_algstr_0(k15_euclid(A), D, B), k5_algstr_0(k15_euclid(A), C, D)))=k22_rvsum_1(k5_algstr_0(k15_euclid(A), C, D), k5_algstr_0(k15_euclid(A), C, B))) ) ) ) ) ) ) ) ) ).
fof(t15_euclid13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) => k22_rvsum_1(k5_algstr_0(k15_euclid(A), B, C), k5_algstr_0(k15_euclid(A), B, D))=k4_xcmplx_0(k22_rvsum_1(k5_algstr_0(k15_euclid(A), B, C), k5_algstr_0(k15_euclid(A), D, B)))) ) ) ) ) ) ) ) ).
fof(t16_euclid13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) => k22_rvsum_1(k5_algstr_0(k15_euclid(A), C, B), k5_algstr_0(k15_euclid(A), D, B))=k22_rvsum_1(k5_algstr_0(k15_euclid(A), B, C), k5_algstr_0(k15_euclid(A), B, D))) ) ) ) ) ) ) ) ).
fof(t17_euclid13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) => k22_rvsum_1(k5_algstr_0(k15_euclid(A), C, B), k5_algstr_0(k15_euclid(A), D, B))=k4_xcmplx_0(k22_rvsum_1(k5_algstr_0(k15_euclid(A), C, B), k5_algstr_0(k15_euclid(A), B, D)))) ) ) ) ) ) ) ) ).
fof(t18_euclid13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(A))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(A))) =>  ( (B=k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k22_rvsum_1(F, G), k22_rvsum_1(G, G)), k22_rvsum_1(E, F)), k22_rvsum_1(E, G)), k22_rvsum_1(k5_algstr_0(k15_euclid(A), F, G), k5_algstr_0(k15_euclid(A), F, G)))) &  (C=k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k22_rvsum_1(G, E), k22_rvsum_1(E, E)), k22_rvsum_1(F, G)), k22_rvsum_1(F, E)), k22_rvsum_1(k5_algstr_0(k15_euclid(A), G, E), k5_algstr_0(k15_euclid(A), G, E)))) & D=k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k22_rvsum_1(E, F), k22_rvsum_1(F, F)), k22_rvsum_1(G, E)), k22_rvsum_1(G, F)), k22_rvsum_1(k5_algstr_0(k15_euclid(A), E, F), k5_algstr_0(k15_euclid(A), E, F))))) )  =>  (F=G |  (G=E |  (E=F |  (v8_ordinal1(k22_rvsum_1(k5_algstr_0(k15_euclid(A), G, E), k5_algstr_0(k15_euclid(A), F, G))) |  (v8_ordinal1(k22_rvsum_1(k5_algstr_0(k15_euclid(A), F, G), k5_algstr_0(k15_euclid(A), E, F))) |  (v8_ordinal1(k22_rvsum_1(k5_algstr_0(k15_euclid(A), G, E), k5_algstr_0(k15_euclid(A), E, F))) | k7_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(B, k6_xcmplx_0(1, B)), C), k6_xcmplx_0(1, C)), D), k6_xcmplx_0(1, D))=1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_euclid13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  ( (E=k3_rlvect_1(k15_euclid(A), k1_rlvect_1(k15_euclid(A), C, B), k1_rlvect_1(k15_euclid(A), D, k6_xcmplx_0(1, B))) & B=1)  => E=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_euclid13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  ( (E=k3_rlvect_1(k15_euclid(A), k1_rlvect_1(k15_euclid(A), C, B), k1_rlvect_1(k15_euclid(A), D, k6_xcmplx_0(1, B))) & B=k5_ordinal1)  => E=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_euclid13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (k22_rvsum_1(k5_algstr_0(k15_euclid(A), C, D), k5_algstr_0(k15_euclid(A), C, D))=k4_xcmplx_0(k22_rvsum_1(k5_algstr_0(k15_euclid(A), D, B), k5_algstr_0(k15_euclid(A), C, D))) => k22_rvsum_1(k5_algstr_0(k15_euclid(A), C, D), k5_algstr_0(k15_euclid(A), B, C))=k5_ordinal1) ) ) ) ) ) ) ) ) ).
fof(t22_euclid13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  ( (B=k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k22_rvsum_1(D, E), k22_rvsum_1(E, E)), k22_rvsum_1(C, D)), k22_rvsum_1(C, E)), k22_rvsum_1(k5_algstr_0(k15_euclid(A), D, E), k5_algstr_0(k15_euclid(A), D, E)))) & B=1)  =>  (D=E | k22_rvsum_1(k5_algstr_0(k15_euclid(A), D, E), k5_algstr_0(k15_euclid(A), C, D))=k5_ordinal1) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (A=B)  &  ( ~ (A=C)  & k2_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), A, B)), k12_euclid(k5_algstr_0(k15_euclid(2), A, C)))=k5_ordinal1) ) ) ) ) ) ) ) ) ).
fof(t24_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  & r2_tarski(A, k5_rltopsp1(k15_euclid(2), B, C))) ) ) ) ) ) ) ) ).
fof(t25_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (A=B)  &  ( ~ (B=C)  &  (k22_rvsum_1(k5_algstr_0(k15_euclid(2), B, A), k5_algstr_0(k15_euclid(2), B, C))=k5_ordinal1 &  ( ~ (k4_euclid_3(A, B, C)=k7_xcmplx_0(k28_sin_cos, 2))  &  ~ (k4_euclid_3(A, B, C)=k3_xcmplx_0(k7_xcmplx_0(3, 2), k28_sin_cos)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  & r1_xxreal_0(k17_sin_cos(k7_xcmplx_0(k4_euclid_3(A, B, C), 2)), k5_ordinal1)) ) ) ) ) ) ) ) ).
fof(t27_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (k4_euclid_3(B, A, C)=k4_euclid_3(C, B, A))  & k17_sin_cos(k7_xcmplx_0(k6_xcmplx_0(k4_euclid_3(B, A, C), k4_euclid_3(C, B, A)), 2))=k5_ordinal1) ) ) ) ) ) ) ) ).
fof(t28_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  & k17_sin_cos(k4_euclid_3(A, B, C))=k5_ordinal1) ) ) ) ) ) ) ) ).
fof(t29_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_rltopsp1(k15_euclid(2), A, C, B))  &  ( ~ (r1_xxreal_0(k28_sin_cos, k4_euclid_3(A, C, B)))  &  ~ (k4_euclid_3(A, C, B)=k6_xcmplx_0(k28_sin_cos, k2_xcmplx_0(k4_euclid_3(C, B, A), k4_euclid_3(B, A, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t30_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_rltopsp1(k15_euclid(2), A, C, B))  &  ( ~ (r1_xxreal_0(k28_sin_cos, k4_euclid_3(A, C, B)))  &  ~ (k2_xcmplx_0(k4_euclid_3(B, A, C), k4_euclid_3(C, B, A))=k6_xcmplx_0(k28_sin_cos, k4_euclid_3(A, C, B))) ) ) ) ) ) ) ) ) ) ).
fof(t31_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  & k6_xcmplx_0(k4_euclid_3(B, A, C), k4_euclid_3(C, B, A))=k28_sin_cos) ) ) ) ) ) ) ) ).
fof(t32_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  & k6_xcmplx_0(k4_euclid_3(B, A, C), k4_euclid_3(C, B, A))=k4_xcmplx_0(k28_sin_cos)) ) ) ) ) ) ) ) ).
fof(t33_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  =>  ( ~ (r1_xxreal_0(k6_xcmplx_0(k4_euclid_3(B, A, C), k4_euclid_3(C, B, A)), k3_xcmplx_0(k4_xcmplx_0(2), k28_sin_cos)))  &  ~ (r1_xxreal_0(k3_xcmplx_0(2, k28_sin_cos), k6_xcmplx_0(k4_euclid_3(B, A, C), k4_euclid_3(C, B, A)))) ) ) ) ) ) ) ) ) ).
fof(t34_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  =>  ( ~ (r1_xxreal_0(k7_xcmplx_0(k6_xcmplx_0(k4_euclid_3(B, A, C), k4_euclid_3(C, B, A)), 2), k4_xcmplx_0(k28_sin_cos)))  &  ~ (r1_xxreal_0(k28_sin_cos, k7_xcmplx_0(k6_xcmplx_0(k4_euclid_3(B, A, C), k4_euclid_3(C, B, A)), 2))) ) ) ) ) ) ) ) ) ).
fof(t35_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  &  ( ~ (r1_xxreal_0(k28_sin_cos, k4_euclid_3(B, A, C)))  &  ~ ( ( ~ (r1_xxreal_0(k6_xcmplx_0(k4_euclid_3(B, A, C), k4_euclid_3(C, B, A)), k4_xcmplx_0(k28_sin_cos)))  &  ~ (r1_xxreal_0(k28_sin_cos, k6_xcmplx_0(k4_euclid_3(B, A, C), k4_euclid_3(C, B, A)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  &  ( ~ (r1_xxreal_0(k28_sin_cos, k4_euclid_3(B, A, C)))  &  ~ ( ( ~ (r1_xxreal_0(k7_xcmplx_0(k6_xcmplx_0(k4_euclid_3(B, A, C), k4_euclid_3(C, B, A)), 2), k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 2))))  &  ~ (r1_xxreal_0(k7_xcmplx_0(k28_sin_cos, 2), k7_xcmplx_0(k6_xcmplx_0(k4_euclid_3(B, A, C), k4_euclid_3(C, B, A)), 2))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (B=C)  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) =>  (D=k1_euclid13(A, B, C) <=>  (? [E] :  (m2_subset_1(E, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) &  (? [F] :  (m2_subset_1(F, k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2)) &  (D=E &  (F=k5_rltopsp1(k15_euclid(2), B, C) &  (r2_tarski(A, E) & r6_euclidlp(2, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (B=C)  => r2_tarski(A, k1_euclid13(A, B, C))) ) ) ) ) ) ) ).
fof(t38_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (B=C)  => v1_euclid_4(k1_euclid13(A, B, C), 2)) ) ) ) ) ) ) ).
fof(t39_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (B=C)  => k1_euclid13(A, B, C)=k1_euclid13(A, C, B)) ) ) ) ) ) ) ).
fof(t40_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, k1_euclid13(A, B, C)) =>  (B=C | k1_euclid13(D, B, C)=k1_euclid13(A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t41_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, k5_rltopsp1(k15_euclid(2), B, C)) =>  (B=C |  (D=C | k1_euclid13(A, B, C)=k1_euclid13(A, D, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (B=C)  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (D=k2_euclid13(A, B, C) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) &  (D=E & k9_subset_1(u1_struct_0(k15_euclid(2)), k1_euclid13(A, B, C), k5_rltopsp1(k15_euclid(2), B, C))=k1_tarski(E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (B=C)  => k2_euclid13(A, B, C)=k2_euclid13(A, C, B)) ) ) ) ) ) ) ).
fof(t43_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (B=C)  =>  (r2_tarski(k2_euclid13(A, B, C), k5_rltopsp1(k15_euclid(2), B, C)) & r2_tarski(k2_euclid13(A, B, C), k1_euclid13(A, B, C))) ) ) ) ) ) ) ) ).
fof(t44_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (B=C)  &  ( ~ (r2_tarski(A, k5_rltopsp1(k15_euclid(2), B, C)))  &  ~ (k1_euclid13(A, B, C)=k5_rltopsp1(k15_euclid(2), A, k2_euclid13(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t45_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(A, k5_rltopsp1(k15_euclid(2), B, C)) =>  (B=C | k2_euclid13(A, B, C)=A) ) ) ) ) ) ) ) ).
fof(t46_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (k2_euclid13(A, B, C)=A =>  (B=C | r2_tarski(A, k5_rltopsp1(k15_euclid(2), B, C))) ) ) ) ) ) ) ) ).
fof(t47_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (B=C)  => k22_rvsum_1(k5_algstr_0(k15_euclid(2), A, k2_euclid13(A, B, C)), k5_algstr_0(k15_euclid(2), B, C))=k5_ordinal1) ) ) ) ) ) ) ).
fof(t48_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (B=C)  => k22_rvsum_1(k5_algstr_0(k15_euclid(2), A, k2_euclid13(A, B, C)), k5_algstr_0(k15_euclid(2), B, k2_euclid13(A, B, C)))=k5_ordinal1) ) ) ) ) ) ) ).
fof(t49_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (B=C)  => k22_rvsum_1(k5_algstr_0(k15_euclid(2), A, k2_euclid13(A, B, C)), k5_algstr_0(k15_euclid(2), C, k2_euclid13(A, B, C)))=k5_ordinal1) ) ) ) ) ) ) ).
fof(t50_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (B=k2_euclid13(A, B, C) =>  (B=C | k22_rvsum_1(k5_algstr_0(k15_euclid(2), B, A), k5_algstr_0(k15_euclid(2), B, C))=k5_ordinal1) ) ) ) ) ) ) ) ).
fof(t51_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, k5_rltopsp1(k15_euclid(2), B, C)) =>  (B=C |  (D=C | k2_euclid13(A, B, C)=k2_euclid13(A, D, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (k22_rvsum_1(k5_algstr_0(k15_euclid(2), B, A), k5_algstr_0(k15_euclid(2), B, C))=k5_ordinal1 =>  (B=C | B=k2_euclid13(A, B, C)) ) ) ) ) ) ) ) ).
fof(t53_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (k4_euclid_3(A, B, C)=k7_xcmplx_0(k28_sin_cos, 2) =>  (B=C |  (B=A | k2_euclid13(A, B, C)=B) ) ) ) ) ) ) ) ) ).
fof(t54_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  & A=k2_euclid13(A, B, C)) ) ) ) ) ) ) ) ).
fof(t55_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  &  ( ~ (k22_rvsum_1(k5_algstr_0(k15_euclid(2), B, A), k5_algstr_0(k15_euclid(2), B, C))=k5_ordinal1)  & r1_rltopsp1(k15_euclid(2), k2_euclid13(A, B, C), B, A)) ) ) ) ) ) ) ) ) ).
fof(d3_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (B=C)  => k3_euclid13(A, B, C)=k12_euclid(k5_algstr_0(k15_euclid(2), A, k2_euclid13(A, B, C)))) ) ) ) ) ) ) ).
fof(t56_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (B=C)  => r1_xxreal_0(k5_ordinal1, k3_euclid13(A, B, C))) ) ) ) ) ) ) ).
fof(t57_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (B=C)  => k3_euclid13(A, B, C)=k3_euclid13(A, C, B)) ) ) ) ) ) ) ).
fof(t58_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (k22_rvsum_1(k5_algstr_0(k15_euclid(2), B, A), k5_algstr_0(k15_euclid(2), B, C))=k5_ordinal1 =>  (B=C | k12_euclid(k5_algstr_0(k15_euclid(2), k2_euclid13(A, B, C), A))=k12_euclid(k5_algstr_0(k15_euclid(2), A, B))) ) ) ) ) ) ) ) ).
fof(t59_euclid13, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ( (A=k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k22_rvsum_1(C, D), k22_rvsum_1(D, D)), k22_rvsum_1(B, C)), k22_rvsum_1(B, D)), k22_rvsum_1(k5_algstr_0(k15_euclid(2), C, D), k5_algstr_0(k15_euclid(2), C, D)))) & E=k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), C, A), k1_rlvect_1(k15_euclid(2), D, k6_xcmplx_0(1, A))))  =>  (C=D |  (E=D | E=k2_euclid13(B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_euclid13, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ( (A=k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k22_rvsum_1(C, D), k22_rvsum_1(D, D)), k22_rvsum_1(B, C)), k22_rvsum_1(B, D)), k22_rvsum_1(k5_algstr_0(k15_euclid(2), C, D), k5_algstr_0(k15_euclid(2), C, D)))) &  (E=k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), C, A), k1_rlvect_1(k15_euclid(2), D, k6_xcmplx_0(1, A))) & E=D) )  =>  (C=D | D=k2_euclid13(B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  &  ( ~ (v8_ordinal1(k22_rvsum_1(k5_algstr_0(k15_euclid(2), C, A), k5_algstr_0(k15_euclid(2), B, C))))  &  ( ~ (v8_ordinal1(k22_rvsum_1(k5_algstr_0(k15_euclid(2), B, C), k5_algstr_0(k15_euclid(2), A, B))))  &  ( ~ (v8_ordinal1(k22_rvsum_1(k5_algstr_0(k15_euclid(2), C, A), k5_algstr_0(k15_euclid(2), A, B))))  &  ~ (r1_menelaus(k5_rltopsp1(k15_euclid(2), A, k2_euclid13(A, B, C)), k5_rltopsp1(k15_euclid(2), C, k2_euclid13(C, A, B)), k5_rltopsp1(k15_euclid(2), B, k2_euclid13(B, C, A)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (v8_ordinal1(k22_rvsum_1(k5_algstr_0(k15_euclid(2), C, A), k5_algstr_0(k15_euclid(2), B, C))) =>  (r1_rltopsp1(k15_euclid(2), A, B, C) |  (k2_euclid13(A, B, C)=C & k2_euclid13(B, C, A)=C) ) ) ) ) ) ) ) ) ).
fof(t63_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(C, k1_euclid13(A, B, C)) & r2_tarski(C, k1_euclid13(B, C, A)))  =>  (r1_rltopsp1(k15_euclid(2), A, B, C) | v1_euclid12(k9_subset_1(k1_euclid(2), k1_euclid13(A, B, C), k1_euclid13(B, C, A)), 2)) ) ) ) ) ) ) ) ).
fof(t64_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(C, k1_euclid13(B, C, A)) & r2_tarski(C, k1_euclid13(C, A, B)))  =>  (r1_rltopsp1(k15_euclid(2), B, C, A) | v1_euclid12(k9_subset_1(k1_euclid(2), k1_euclid13(B, C, A), k1_euclid13(C, A, B)), 2)) ) ) ) ) ) ) ) ).
fof(t65_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(C, k1_euclid13(C, A, B)) & r2_tarski(C, k1_euclid13(A, B, C)))  =>  (r1_rltopsp1(k15_euclid(2), C, A, B) | v1_euclid12(k9_subset_1(k1_euclid(2), k1_euclid13(C, A, B), k1_euclid13(A, B, C)), 2)) ) ) ) ) ) ) ) ).
fof(t66_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (k22_rvsum_1(k5_algstr_0(k15_euclid(2), C, A), k5_algstr_0(k15_euclid(2), B, C))=k5_ordinal1 =>  (r1_rltopsp1(k15_euclid(2), A, B, C) |  (k9_subset_1(k1_euclid(2), k1_euclid13(A, B, C), k1_euclid13(B, C, A))=k1_tarski(C) &  (k9_subset_1(k1_euclid(2), k1_euclid13(B, C, A), k1_euclid13(C, A, B))=k1_tarski(C) & k9_subset_1(k1_euclid(2), k1_euclid13(C, A, B), k1_euclid13(A, B, C))=k1_tarski(C)) ) ) ) ) ) ) ) ) ) ).
fof(t67_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ ( (k9_subset_1(k1_euclid(2), k1_euclid13(A, B, C), k1_euclid13(B, C, A))=k1_tarski(D) &  (k9_subset_1(k1_euclid(2), k1_euclid13(B, C, A), k1_euclid13(C, A, B))=k1_tarski(D) & k9_subset_1(k1_euclid(2), k1_euclid13(C, A, B), k1_euclid13(A, B, C))=k1_tarski(D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (D=k4_euclid13(A, B, C) <=>  (k9_subset_1(k1_euclid(2), k1_euclid13(A, B, C), k1_euclid13(B, C, A))=k1_tarski(D) &  (k9_subset_1(k1_euclid(2), k1_euclid13(B, C, A), k1_euclid13(C, A, B))=k1_tarski(D) & k9_subset_1(k1_euclid(2), k1_euclid13(C, A, B), k1_euclid13(A, B, C))=k1_tarski(D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (B=A)  => k3_xcmplx_0(k2_xcmplx_0(k17_sin_cos(k4_euclid_3(B, A, C)), k17_sin_cos(k4_euclid_3(C, B, A))), k6_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), C, B)), k12_euclid(k5_algstr_0(k15_euclid(2), C, A))))=k3_xcmplx_0(k6_xcmplx_0(k17_sin_cos(k4_euclid_3(B, A, C)), k17_sin_cos(k4_euclid_3(C, B, A))), k2_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), C, B)), k12_euclid(k5_algstr_0(k15_euclid(2), C, A))))) ) ) ) ) ) ) ).
fof(t69_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (B=A)  => k3_xcmplx_0(k3_xcmplx_0(k17_sin_cos(k7_xcmplx_0(k2_xcmplx_0(k4_euclid_3(B, A, C), k4_euclid_3(C, B, A)), 2)), k19_sin_cos(k7_xcmplx_0(k6_xcmplx_0(k4_euclid_3(B, A, C), k4_euclid_3(C, B, A)), 2))), k6_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), C, B)), k12_euclid(k5_algstr_0(k15_euclid(2), C, A))))=k3_xcmplx_0(k3_xcmplx_0(k17_sin_cos(k7_xcmplx_0(k6_xcmplx_0(k4_euclid_3(B, A, C), k4_euclid_3(C, B, A)), 2)), k19_sin_cos(k7_xcmplx_0(k2_xcmplx_0(k4_euclid_3(B, A, C), k4_euclid_3(C, B, A)), 2))), k2_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), C, B)), k12_euclid(k5_algstr_0(k15_euclid(2), C, A))))) ) ) ) ) ) ) ).
fof(t70_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  &  ( ~ (k6_xcmplx_0(k4_euclid_3(B, A, C), k4_euclid_3(C, B, A))=k28_sin_cos)  &  ( ~ (k6_xcmplx_0(k4_euclid_3(B, A, C), k4_euclid_3(C, B, A))=k4_xcmplx_0(k28_sin_cos))  & k19_sin_cos(k7_xcmplx_0(k6_xcmplx_0(k4_euclid_3(B, A, C), k4_euclid_3(C, B, A)), 2))=k5_ordinal1) ) ) ) ) ) ) ) ) ) ).
fof(t71_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_rltopsp1(k15_euclid(2), A, C, B))  &  ( ~ (r1_xxreal_0(k28_sin_cos, k4_euclid_3(A, C, B)))  &  ~ (k1_sin_cos4(k7_xcmplx_0(k6_xcmplx_0(k4_euclid_3(B, A, C), k4_euclid_3(C, B, A)), 2))=k3_xcmplx_0(k2_sin_cos4(k7_xcmplx_0(k4_euclid_3(A, C, B), 2)), k7_xcmplx_0(k6_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), C, B)), k12_euclid(k5_algstr_0(k15_euclid(2), C, A))), k2_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), C, B)), k12_euclid(k5_algstr_0(k15_euclid(2), C, A)))))) ) ) ) ) ) ) ) ) ) ).
fof(t72_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_rltopsp1(k15_euclid(2), A, C, B))  &  ( ~ (r1_xxreal_0(k28_sin_cos, k4_euclid_3(A, C, B)))  &  ~ (k7_xcmplx_0(k6_xcmplx_0(k4_euclid_3(B, A, C), k4_euclid_3(C, B, A)), 2)=k3_sin_cos9(k3_xcmplx_0(k2_sin_cos4(k7_xcmplx_0(k4_euclid_3(A, C, B), 2)), k7_xcmplx_0(k6_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), C, B)), k12_euclid(k5_algstr_0(k15_euclid(2), C, A))), k2_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), C, B)), k12_euclid(k5_algstr_0(k15_euclid(2), C, A))))))) ) ) ) ) ) ) ) ) ) ).
fof(t73_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_rltopsp1(k15_euclid(2), A, C, B))  &  ( ~ (r1_xxreal_0(k28_sin_cos, k4_euclid_3(A, C, B)))  &  ~ (k6_xcmplx_0(k4_euclid_3(B, A, C), k4_euclid_3(C, B, A))=k3_xcmplx_0(2, k3_sin_cos9(k3_xcmplx_0(k2_sin_cos4(k7_xcmplx_0(k4_euclid_3(A, C, B), 2)), k7_xcmplx_0(k6_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), C, B)), k12_euclid(k5_algstr_0(k15_euclid(2), C, A))), k2_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), C, B)), k12_euclid(k5_algstr_0(k15_euclid(2), C, A)))))))) ) ) ) ) ) ) ) ) ) ).
fof(t74_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_rltopsp1(k15_euclid(2), A, C, B))  &  ( ~ (r1_xxreal_0(k28_sin_cos, k4_euclid_3(A, C, B)))  &  ~ ( (k4_euclid_3(B, A, C)=k6_xcmplx_0(k2_xcmplx_0(k3_sin_cos9(k3_xcmplx_0(k2_sin_cos4(k7_xcmplx_0(k4_euclid_3(A, C, B), 2)), k7_xcmplx_0(k6_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), C, B)), k12_euclid(k5_algstr_0(k15_euclid(2), C, A))), k2_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), C, B)), k12_euclid(k5_algstr_0(k15_euclid(2), C, A)))))), k7_xcmplx_0(k28_sin_cos, 2)), k7_xcmplx_0(k4_euclid_3(A, C, B), 2)) & k4_euclid_3(C, B, A)=k6_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 2), k7_xcmplx_0(k4_euclid_3(A, C, B), 2)), k3_sin_cos9(k3_xcmplx_0(k2_sin_cos4(k7_xcmplx_0(k4_euclid_3(A, C, B), 2)), k7_xcmplx_0(k6_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), C, B)), k12_euclid(k5_algstr_0(k15_euclid(2), C, A))), k2_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), C, B)), k12_euclid(k5_algstr_0(k15_euclid(2), C, A)))))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_rltopsp1(k15_euclid(2), A, C, B))  &  ( ~ (r1_xxreal_0(k28_sin_cos, k4_euclid_3(A, C, B)))  &  ~ (k12_euclid(k5_algstr_0(k15_euclid(2), B, C))=k7_xcmplx_0(k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), A, B)), k17_sin_cos(k4_euclid_3(B, A, C))), k17_sin_cos(k2_xcmplx_0(k4_euclid_3(B, A, C), k4_euclid_3(C, B, A))))) ) ) ) ) ) ) ) ) ) ).
fof(t76_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_rltopsp1(k15_euclid(2), A, C, B))  &  ( ~ (r1_xxreal_0(k28_sin_cos, k4_euclid_3(A, C, B)))  &  ~ (k12_euclid(k5_algstr_0(k15_euclid(2), A, C))=k7_xcmplx_0(k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), A, B)), k17_sin_cos(k4_euclid_3(C, B, A))), k17_sin_cos(k2_xcmplx_0(k4_euclid_3(B, A, C), k4_euclid_3(C, B, A))))) ) ) ) ) ) ) ) ) ) ).
fof(t77_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (k4_euclid_3(C, A, B)=k7_xcmplx_0(k28_sin_cos, 2) =>  (r1_rltopsp1(k15_euclid(2), A, C, B) | k3_euclid13(C, A, B)=k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), A, B)), k1_sin_cos4(k4_euclid_3(A, B, C)))) ) ) ) ) ) ) ) ).
fof(t78_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (k4_euclid_3(C, A, B)=k3_xcmplx_0(k7_xcmplx_0(3, 2), k28_sin_cos) =>  (r1_rltopsp1(k15_euclid(2), A, B, C) | k3_euclid13(C, A, B)=k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), A, B)), k1_sin_cos4(k4_euclid_3(C, B, A)))) ) ) ) ) ) ) ) ).
fof(t79_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (k22_rvsum_1(k5_algstr_0(k15_euclid(2), A, C), k5_algstr_0(k15_euclid(2), A, B))=k5_ordinal1 =>  (r1_rltopsp1(k15_euclid(2), A, C, B) | k3_euclid13(C, A, B)=k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), A, B)), k9_complex1(k1_sin_cos4(k4_euclid_3(A, B, C))))) ) ) ) ) ) ) ) ).
fof(t80_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (B=C)  &  ( ~ (r1_rltopsp1(k15_euclid(2), k2_euclid13(A, B, C), B, A))  &  ( ~ (k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), A, B)), k17_sin_cos(k4_euclid_3(A, B, k2_euclid13(A, B, C))))=k12_euclid(k5_algstr_0(k15_euclid(2), k2_euclid13(A, B, C), A)))  &  ~ (k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), A, B)), k4_xcmplx_0(k17_sin_cos(k4_euclid_3(A, B, k2_euclid13(A, B, C)))))=k12_euclid(k5_algstr_0(k15_euclid(2), k2_euclid13(A, B, C), A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t81_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  &  ( ~ (k22_rvsum_1(k5_algstr_0(k15_euclid(2), B, A), k5_algstr_0(k15_euclid(2), B, C))=k5_ordinal1)  &  ( ~ (k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), A, B)), k17_sin_cos(k4_euclid_3(A, B, k2_euclid13(A, B, C))))=k12_euclid(k5_algstr_0(k15_euclid(2), k2_euclid13(A, B, C), A)))  &  ~ (k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), A, B)), k4_xcmplx_0(k17_sin_cos(k4_euclid_3(A, B, k2_euclid13(A, B, C)))))=k12_euclid(k5_algstr_0(k15_euclid(2), k2_euclid13(A, B, C), A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t82_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_rltopsp1(k15_euclid(2), A, C, B))  &  ( ~ (r1_xxreal_0(k28_sin_cos, k4_euclid_3(A, C, B)))  &  ( ~ (k22_rvsum_1(k5_algstr_0(k15_euclid(2), A, C), k5_algstr_0(k15_euclid(2), A, B))=k5_ordinal1)  &  ~ (k3_euclid13(C, A, B)=k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), A, B)), k9_complex1(k3_xcmplx_0(k7_xcmplx_0(k17_sin_cos(k4_euclid_3(C, B, A)), k17_sin_cos(k2_xcmplx_0(k4_euclid_3(B, A, C), k4_euclid_3(C, B, A)))), k17_sin_cos(k4_euclid_3(C, A, k2_euclid13(C, A, B))))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t83_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r1_zfmisc_1(D, A, C) & r1_zfmisc_1(B, A, D))  =>  (r1_xxreal_0(k4_euclid_3(B, A, D), k5_ordinal1) |  (r1_xxreal_0(k28_sin_cos, k4_euclid_3(B, A, D)) |  (r1_xxreal_0(k4_euclid_3(D, A, C), k5_ordinal1) |  (r1_xxreal_0(k28_sin_cos, k4_euclid_3(D, A, C)) | k2_xcmplx_0(k4_euclid_3(A, C, D), k4_euclid_3(D, B, A))=k6_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), k2_xcmplx_0(k2_xcmplx_0(k4_euclid_3(B, A, C), k4_euclid_3(A, D, B)), k4_euclid_3(C, D, A)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t84_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (E=k4_euclid_3(C, B, A) &  (F=k4_euclid_3(B, A, C) &  (G=k4_euclid_3(D, B, A) & H=k4_euclid_3(C, A, D)) ) )  =>  (r1_rltopsp1(k15_euclid(2), A, C, B) |  (r1_xxreal_0(k28_sin_cos, k4_euclid_3(A, C, B)) |  (r1_rltopsp1(k15_euclid(2), A, D, B) |  (r1_xxreal_0(k28_sin_cos, k4_euclid_3(A, D, B)) | k1_square_1(k12_euclid(k5_algstr_0(k15_euclid(2), D, C)))=k3_xcmplx_0(k1_square_1(k12_euclid(k5_algstr_0(k15_euclid(2), A, B))), k6_xcmplx_0(k2_xcmplx_0(k1_square_1(k7_xcmplx_0(k17_sin_cos(E), k17_sin_cos(k2_xcmplx_0(E, F)))), k1_square_1(k7_xcmplx_0(k17_sin_cos(G), k17_sin_cos(k2_xcmplx_0(k2_xcmplx_0(F, H), G))))), k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, k7_xcmplx_0(k17_sin_cos(E), k17_sin_cos(k2_xcmplx_0(F, E)))), k7_xcmplx_0(k17_sin_cos(G), k17_sin_cos(k2_xcmplx_0(k2_xcmplx_0(F, H), G)))), k19_sin_cos(H))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t85_euclid13, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (k3_xcmplx_0(k17_sin_cos(k3_xcmplx_0(2, B)), k19_sin_cos(D))=k19_sin_cos(k3_xcmplx_0(2, C)) => k6_xcmplx_0(k2_xcmplx_0(k1_square_1(k3_xcmplx_0(A, k19_sin_cos(B))), k1_square_1(k3_xcmplx_0(A, k17_sin_cos(B)))), k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, k3_xcmplx_0(A, k19_sin_cos(B))), k3_xcmplx_0(A, k17_sin_cos(B))), k19_sin_cos(D)))=k3_xcmplx_0(k3_xcmplx_0(2, k1_square_1(A)), k1_square_1(k17_sin_cos(C)))) ) ) ) ) ) ) ) ) ).
fof(t86_euclid13, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  (! [J] :  (v1_xreal_0(J) =>  (! [K] :  (v1_xreal_0(K) =>  ( (r1_xxreal_0(k5_ordinal1, J) &  (F=k4_euclid_3(D, C, B) &  (G=k4_euclid_3(C, B, D) &  (H=k4_euclid_3(E, C, B) &  (I=k4_euclid_3(D, B, E) &  (k3_xcmplx_0(J, k19_sin_cos(A))=k7_xcmplx_0(k17_sin_cos(F), k17_sin_cos(k2_xcmplx_0(F, G))) &  (k3_xcmplx_0(J, k17_sin_cos(A))=k7_xcmplx_0(k17_sin_cos(H), k17_sin_cos(k2_xcmplx_0(k2_xcmplx_0(G, I), H))) & k3_xcmplx_0(k17_sin_cos(k3_xcmplx_0(2, A)), k19_sin_cos(I))=k19_sin_cos(k3_xcmplx_0(2, K))) ) ) ) ) ) )  =>  (E=D |  (r1_rltopsp1(k15_euclid(2), B, D, C) |  (r1_xxreal_0(k28_sin_cos, k4_euclid_3(B, D, C)) |  (r1_rltopsp1(k15_euclid(2), B, E, C) |  (r1_xxreal_0(k28_sin_cos, k4_euclid_3(B, E, C)) |  (r1_xxreal_0(K, k5_ordinal1) |  (r1_xxreal_0(k28_sin_cos, K) | k12_euclid(k5_algstr_0(k15_euclid(2), E, D))=k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), B, C)), k3_square_1(2)), J), k17_sin_cos(K))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t87_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (k4_euclid_3(A, D, C)=k7_xcmplx_0(k28_sin_cos, 2) =>  (r1_rltopsp1(k15_euclid(2), A, C, B) |  (r1_xxreal_0(k28_sin_cos, k4_euclid_3(A, C, B)) |  (r1_rltopsp1(k15_euclid(2), D, A, C) | k12_euclid(k5_algstr_0(k15_euclid(2), D, C))=k3_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), A, B)), k17_sin_cos(k4_euclid_3(C, B, A))), k17_sin_cos(k2_xcmplx_0(k4_euclid_3(B, A, C), k4_euclid_3(C, B, A)))), k17_sin_cos(k4_euclid_3(C, A, D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t88_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (k4_euclid_3(C, D, A)=k7_xcmplx_0(k28_sin_cos, 2) =>  (r1_rltopsp1(k15_euclid(2), B, C, A) |  (r1_xxreal_0(k28_sin_cos, k4_euclid_3(B, C, A)) |  (r1_rltopsp1(k15_euclid(2), D, C, A) | k12_euclid(k5_algstr_0(k15_euclid(2), D, C))=k3_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), A, B)), k17_sin_cos(k4_euclid_3(A, B, C))), k17_sin_cos(k2_xcmplx_0(k4_euclid_3(A, B, C), k4_euclid_3(C, A, B)))), k17_sin_cos(k4_euclid_3(D, A, C)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t89_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (k4_euclid_3(A, D, C)=k7_xcmplx_0(k28_sin_cos, 2) & r2_tarski(A, k1_rltopsp1(k15_euclid(2), B, D)))  =>  (r1_rltopsp1(k15_euclid(2), A, C, B) |  (r1_xxreal_0(k28_sin_cos, k4_euclid_3(A, C, B)) |  (r1_rltopsp1(k15_euclid(2), D, A, C) |  (A=D | k12_euclid(k5_algstr_0(k15_euclid(2), D, C))=k3_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), A, B)), k17_sin_cos(k4_euclid_3(C, B, A))), k17_sin_cos(k6_xcmplx_0(k4_euclid_3(C, A, D), k4_euclid_3(C, B, A)))), k17_sin_cos(k4_euclid_3(C, A, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t90_euclid13, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (k4_euclid_3(C, D, A)=k7_xcmplx_0(k28_sin_cos, 2) & r2_tarski(A, k1_rltopsp1(k15_euclid(2), D, B)))  =>  (r1_rltopsp1(k15_euclid(2), B, C, A) |  (r1_xxreal_0(k28_sin_cos, k4_euclid_3(B, C, A)) |  (r1_rltopsp1(k15_euclid(2), D, C, A) |  (A=D | k12_euclid(k5_algstr_0(k15_euclid(2), D, C))=k3_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), A, B)), k17_sin_cos(k4_euclid_3(A, B, C))), k17_sin_cos(k6_xcmplx_0(k4_euclid_3(D, A, C), k4_euclid_3(A, B, C)))), k17_sin_cos(k4_euclid_3(D, A, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_euclid13, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, u1_struct_0(k15_euclid(2))) &  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) & m1_subset_1(C, u1_struct_0(k15_euclid(2)))) )  => m2_subset_1(k1_euclid13(A, B, C), k1_zfmisc_1(k1_euclid(2)), k1_euclidlp(2))) ) ).
fof(dt_k2_euclid13, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, u1_struct_0(k15_euclid(2))) &  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) & m1_subset_1(C, u1_struct_0(k15_euclid(2)))) )  => m1_subset_1(k2_euclid13(A, B, C), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k3_euclid13, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, u1_struct_0(k15_euclid(2))) &  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) & m1_subset_1(C, u1_struct_0(k15_euclid(2)))) )  => v1_xreal_0(k3_euclid13(A, B, C))) ) ).
fof(dt_k4_euclid13, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, u1_struct_0(k15_euclid(2))) &  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) & m1_subset_1(C, u1_struct_0(k15_euclid(2)))) )  => m1_subset_1(k4_euclid13(A, B, C), u1_struct_0(k15_euclid(2)))) ) ).
fof(t1_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k4_finseq_2(B, k1_numbers)) => k1_funct_1(k14_rvsum_1(C, k5_euclid(B)), A)=k5_numbers) ) ) ) ) ) ).
fof(t2_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k4_finseq_2(A, k1_numbers)) => k14_rvsum_1(B, k5_euclid(A))=k5_euclid(A)) ) ) ) ).
fof(t3_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v3_valued_0(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) & v3_valued_0(C)) ) )  =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  ( (D=B & E=C)  => k22_rvsum_1(B, C)=k3_xcmplx_0(k7_xcmplx_0(1, 4), k6_xcmplx_0(k1_square_1(k12_euclid(k7_euclid(A, D, E))), k1_square_1(k12_euclid(k8_euclid(A, D, E)))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_euclid_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  => k1_square_1(k12_euclid(A))=k22_rvsum_1(A, A)) ) ).
fof(t5_euclid_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  => k12_euclid(A)=k3_square_1(k22_rvsum_1(A, A))) ) ).
fof(t7_euclid_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  =>  (k22_rvsum_1(A, A)=k5_numbers <=> A=k5_euclid(k3_finseq_1(A))) ) ) ).
fof(t8_euclid_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  =>  (k22_rvsum_1(A, A)=k5_numbers <=> k12_euclid(A)=k5_numbers) ) ) ).
fof(t9_euclid_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  => k22_rvsum_1(A, k5_euclid(k3_finseq_1(A)))=k5_numbers) ) ).
fof(t10_euclid_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  => k22_rvsum_1(k5_euclid(k3_finseq_1(A)), A)=k5_numbers) ) ).
fof(t11_euclid_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v3_valued_0(B)) ) )  =>  (k3_finseq_1(A)=k3_finseq_1(B) => k1_square_1(k12_euclid(k4_rvsum_1(A, B)))=k2_xcmplx_0(k2_xcmplx_0(k1_square_1(k12_euclid(A)), k3_xcmplx_0(2, k22_rvsum_1(B, A))), k1_square_1(k12_euclid(B)))) ) ) ) ) ).
fof(t12_euclid_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v3_valued_0(B)) ) )  =>  (k3_finseq_1(A)=k3_finseq_1(B) => k1_square_1(k12_euclid(k8_rvsum_1(A, B)))=k2_xcmplx_0(k6_xcmplx_0(k1_square_1(k12_euclid(A)), k3_xcmplx_0(2, k22_rvsum_1(B, A))), k1_square_1(k12_euclid(B)))) ) ) ) ) ).
fof(t13_euclid_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v3_valued_0(B)) ) )  =>  (k3_finseq_1(A)=k3_finseq_1(B) => k2_xcmplx_0(k1_square_1(k12_euclid(k4_rvsum_1(A, B))), k1_square_1(k12_euclid(k8_rvsum_1(A, B))))=k3_xcmplx_0(2, k2_xcmplx_0(k1_square_1(k12_euclid(A)), k1_square_1(k12_euclid(B))))) ) ) ) ) ).
fof(t14_euclid_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v3_valued_0(B)) ) )  =>  (k3_finseq_1(A)=k3_finseq_1(B) => k6_xcmplx_0(k1_square_1(k12_euclid(k4_rvsum_1(A, B))), k1_square_1(k12_euclid(k8_rvsum_1(A, B))))=k3_xcmplx_0(4, k22_rvsum_1(A, B))) ) ) ) ) ).
fof(t15_euclid_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v3_valued_0(B)) ) )  =>  (k3_finseq_1(A)=k3_finseq_1(B) => r1_xxreal_0(k9_complex1(k22_rvsum_1(A, B)), k3_xcmplx_0(k12_euclid(A), k12_euclid(B)))) ) ) ) ) ).
fof(t16_euclid_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v3_valued_0(B)) ) )  =>  (k3_finseq_1(A)=k3_finseq_1(B) => r1_xxreal_0(k12_euclid(k4_rvsum_1(A, B)), k2_xcmplx_0(k12_euclid(A), k12_euclid(B)))) ) ) ) ) ).
fof(t18_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) => k22_rvsum_1(k3_rlvect_1(k15_euclid(A), B, C), D)=k2_xcmplx_0(k22_rvsum_1(B, D), k22_rvsum_1(C, D))) ) ) ) ) ) ) ) ).
fof(t19_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (v1_xreal_0(D) => k22_rvsum_1(k1_rlvect_1(k15_euclid(A), B, D), C)=k3_xcmplx_0(D, k22_rvsum_1(B, C))) ) ) ) ) ) ) ) ).
fof(t20_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (v1_xreal_0(D) => k22_rvsum_1(B, k1_rlvect_1(k15_euclid(A), C, D))=k3_xcmplx_0(D, k22_rvsum_1(B, C))) ) ) ) ) ) ) ) ).
fof(t21_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) => k22_rvsum_1(k4_algstr_0(k15_euclid(A), B), C)=k4_xcmplx_0(k22_rvsum_1(B, C))) ) ) ) ) ) ).
fof(t22_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) => k22_rvsum_1(B, k4_algstr_0(k15_euclid(A), C))=k4_xcmplx_0(k22_rvsum_1(B, C))) ) ) ) ) ) ).
fof(t23_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) => k22_rvsum_1(k4_algstr_0(k15_euclid(A), B), k4_algstr_0(k15_euclid(A), C))=k22_rvsum_1(B, C)) ) ) ) ) ) ).
fof(t24_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) => k22_rvsum_1(k5_algstr_0(k15_euclid(A), B, C), D)=k6_xcmplx_0(k22_rvsum_1(B, D), k22_rvsum_1(C, D))) ) ) ) ) ) ) ) ).
fof(t25_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(A))) => k22_rvsum_1(k3_rlvect_1(k15_euclid(A), k1_rlvect_1(k15_euclid(A), D, B), k1_rlvect_1(k15_euclid(A), E, C)), F)=k2_xcmplx_0(k3_xcmplx_0(B, k22_rvsum_1(D, F)), k3_xcmplx_0(C, k22_rvsum_1(E, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) => k22_rvsum_1(B, k3_rlvect_1(k15_euclid(A), C, D))=k2_xcmplx_0(k22_rvsum_1(B, C), k22_rvsum_1(B, D))) ) ) ) ) ) ) ) ).
fof(t27_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) => k22_rvsum_1(B, k5_algstr_0(k15_euclid(A), C, D))=k6_xcmplx_0(k22_rvsum_1(B, C), k22_rvsum_1(B, D))) ) ) ) ) ) ) ) ).
fof(t28_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) => k22_rvsum_1(k3_rlvect_1(k15_euclid(A), B, C), k3_rlvect_1(k15_euclid(A), D, E))=k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k22_rvsum_1(B, D), k22_rvsum_1(B, E)), k22_rvsum_1(C, D)), k22_rvsum_1(C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t29_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) => k22_rvsum_1(k5_algstr_0(k15_euclid(A), B, C), k5_algstr_0(k15_euclid(A), D, E))=k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k22_rvsum_1(B, D), k22_rvsum_1(B, E)), k22_rvsum_1(C, D)), k22_rvsum_1(C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t30_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) => k22_rvsum_1(k3_rlvect_1(k15_euclid(A), B, C), k3_rlvect_1(k15_euclid(A), B, C))=k2_xcmplx_0(k2_xcmplx_0(k22_rvsum_1(B, B), k3_xcmplx_0(2, k22_rvsum_1(B, C))), k22_rvsum_1(C, C))) ) ) ) ) ) ).
fof(t31_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) => k22_rvsum_1(k5_algstr_0(k15_euclid(A), B, C), k5_algstr_0(k15_euclid(A), B, C))=k2_xcmplx_0(k6_xcmplx_0(k22_rvsum_1(B, B), k3_xcmplx_0(2, k22_rvsum_1(B, C))), k22_rvsum_1(C, C))) ) ) ) ) ) ).
fof(t32_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) => k22_rvsum_1(B, k4_struct_0(k15_euclid(A)))=k5_numbers) ) ) ) ).
fof(t33_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) => k22_rvsum_1(k4_struct_0(k15_euclid(A)), B)=k5_numbers) ) ) ) ).
fof(t34_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) => k22_rvsum_1(k4_struct_0(k15_euclid(A)), k4_struct_0(k15_euclid(A)))=k5_numbers) ) ).
fof(t35_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) => r1_xxreal_0(k5_numbers, k22_rvsum_1(B, B))) ) ) ) ).
fof(t36_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) => k22_rvsum_1(B, B)=k1_square_1(k12_euclid(B))) ) ) ) ).
fof(t37_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) => k12_euclid(B)=k3_square_1(k22_rvsum_1(B, B))) ) ) ) ).
fof(t38_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) => r1_xxreal_0(k5_numbers, k12_euclid(B))) ) ) ) ).
fof(t39_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) => k12_euclid(k4_struct_0(k15_euclid(A)))=k5_numbers) ) ).
fof(t40_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (k22_rvsum_1(B, B)=k5_numbers <=> k12_euclid(B)=k5_numbers) ) ) ) ) ).
fof(t41_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (k22_rvsum_1(B, B)=k5_numbers <=> B=k4_struct_0(k15_euclid(A))) ) ) ) ) ).
fof(t42_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (k12_euclid(B)=k5_numbers <=> B=k4_struct_0(k15_euclid(A))) ) ) ) ) ).
fof(t43_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  ( ~ ( ( ~ (B=k4_struct_0(k15_euclid(A)))  & r1_xxreal_0(k22_rvsum_1(B, B), k5_numbers)) )  &  ~ ( ( ~ (r1_xxreal_0(k22_rvsum_1(B, B), k5_numbers))  & B=k4_struct_0(k15_euclid(A))) ) ) ) ) ) ) ).
fof(t44_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  ( ~ ( ( ~ (B=k4_struct_0(k15_euclid(A)))  & r1_xxreal_0(k12_euclid(B), k5_numbers)) )  &  ~ ( ( ~ (r1_xxreal_0(k12_euclid(B), k5_numbers))  & B=k4_struct_0(k15_euclid(A))) ) ) ) ) ) ) ).
fof(t45_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) => k1_square_1(k12_euclid(k3_rlvect_1(k15_euclid(A), B, C)))=k2_xcmplx_0(k2_xcmplx_0(k1_square_1(k12_euclid(B)), k3_xcmplx_0(2, k22_rvsum_1(C, B))), k1_square_1(k12_euclid(C)))) ) ) ) ) ) ).
fof(t46_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) => k1_square_1(k12_euclid(k5_algstr_0(k15_euclid(A), B, C)))=k2_xcmplx_0(k6_xcmplx_0(k1_square_1(k12_euclid(B)), k3_xcmplx_0(2, k22_rvsum_1(C, B))), k1_square_1(k12_euclid(C)))) ) ) ) ) ) ).
fof(t47_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) => k2_xcmplx_0(k1_square_1(k12_euclid(k3_rlvect_1(k15_euclid(A), B, C))), k1_square_1(k12_euclid(k5_algstr_0(k15_euclid(A), B, C))))=k3_xcmplx_0(2, k2_xcmplx_0(k1_square_1(k12_euclid(B)), k1_square_1(k12_euclid(C))))) ) ) ) ) ) ).
fof(t48_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) => k6_xcmplx_0(k1_square_1(k12_euclid(k3_rlvect_1(k15_euclid(A), B, C))), k1_square_1(k12_euclid(k5_algstr_0(k15_euclid(A), B, C))))=k3_xcmplx_0(4, k22_rvsum_1(B, C))) ) ) ) ) ) ).
fof(t49_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) => k22_rvsum_1(B, C)=k3_xcmplx_0(k7_xcmplx_0(1, 4), k6_xcmplx_0(k1_square_1(k12_euclid(k3_rlvect_1(k15_euclid(A), B, C))), k1_square_1(k12_euclid(k5_algstr_0(k15_euclid(A), B, C)))))) ) ) ) ) ) ).
fof(t50_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) => r1_xxreal_0(k22_rvsum_1(B, C), k2_xcmplx_0(k22_rvsum_1(B, B), k22_rvsum_1(C, C)))) ) ) ) ) ) ).
fof(t51_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) => r1_xxreal_0(k9_complex1(k22_rvsum_1(B, C)), k3_xcmplx_0(k12_euclid(B), k12_euclid(C)))) ) ) ) ) ) ).
fof(t52_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) => r1_xxreal_0(k12_euclid(k3_rlvect_1(k15_euclid(A), B, C)), k2_xcmplx_0(k12_euclid(B), k12_euclid(C)))) ) ) ) ) ) ).
fof(t53_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) => r1_rvsum_1(B, k4_struct_0(k15_euclid(A)))) ) ) ) ).
fof(t54_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) => r1_rvsum_1(k4_struct_0(k15_euclid(A)), B)) ) ) ) ).
fof(t55_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (r1_rvsum_1(B, B) <=> B=k4_struct_0(k15_euclid(A))) ) ) ) ) ).
fof(t56_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (r1_rvsum_1(C, D) => r1_rvsum_1(k1_rlvect_1(k15_euclid(A), C, B), D)) ) ) ) ) ) ) ) ) ).
fof(t57_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (r1_rvsum_1(C, D) => r1_rvsum_1(C, k1_rlvect_1(k15_euclid(A), D, B))) ) ) ) ) ) ) ) ) ).
fof(t58_euclid_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) => r1_rvsum_1(B, C)) )  => B=k4_struct_0(k15_euclid(A))) ) ) ) ) ).
fof(d1_euclid_3, axiom,  (! [A] :  (v1_xcmplx_0(A) => k1_euclid_3(A)=k19_euclid(k3_complex1(A), k4_complex1(A))) ) ).
fof(d2_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => k2_euclid_3(A)=k2_xcmplx_0(k17_euclid(A), k3_xcmplx_0(k18_euclid(A), k7_complex1))) ) ).
fof(t1_euclid_3, axiom,  (! [A] :  (v1_xcmplx_0(A) => k2_euclid_3(k1_euclid_3(A))=A) ) ).
fof(t2_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => k1_euclid_3(k2_euclid_3(A))=A) ) ).
fof(t3_euclid_3, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (k1_euclid_3(A)=k1_euclid_3(B) => A=B) ) ) ) ) ).
fof(t4_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (k2_euclid_3(A)=k2_euclid_3(B) => A=B) ) ) ) ) ).
fof(t5_euclid_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_euclid_3(k2_xcmplx_0(A, k3_xcmplx_0(B, k7_complex1)))=k19_euclid(A, B)) ) ) ) ).
fof(t6_euclid_3, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k19_euclid(k3_complex1(k2_xcmplx_0(A, B)), k4_complex1(k2_xcmplx_0(A, B)))=k19_euclid(k3_real_1(k3_complex1(A), k3_complex1(B)), k3_real_1(k4_complex1(A), k4_complex1(B)))) ) ) ) ).
fof(t7_euclid_3, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k1_euclid_3(k2_xcmplx_0(A, B))=k3_rlvect_1(k15_euclid(2), k1_euclid_3(A), k1_euclid_3(B))) ) ) ) ).
fof(t8_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => k2_xcmplx_0(k17_euclid(k3_rlvect_1(k15_euclid(2), A, B)), k3_xcmplx_0(k18_euclid(k3_rlvect_1(k15_euclid(2), A, B)), k7_complex1))=k2_xcmplx_0(k2_xcmplx_0(k17_euclid(A), k17_euclid(B)), k3_xcmplx_0(k2_xcmplx_0(k18_euclid(A), k18_euclid(B)), k7_complex1))) ) ) ) ).
fof(t9_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => k2_euclid_3(k3_rlvect_1(k15_euclid(2), A, B))=k2_xcmplx_0(k2_euclid_3(A), k2_euclid_3(B))) ) ) ) ).
fof(t10_euclid_3, axiom,  (! [A] :  (v1_xcmplx_0(A) => k19_euclid(k3_complex1(k4_xcmplx_0(A)), k4_complex1(k4_xcmplx_0(A)))=k19_euclid(k1_real_1(k3_complex1(A)), k1_real_1(k4_complex1(A)))) ) ).
fof(t11_euclid_3, axiom,  (! [A] :  (v1_xcmplx_0(A) => k1_euclid_3(k4_xcmplx_0(A))=k4_algstr_0(k15_euclid(2), k1_euclid_3(A))) ) ).
fof(t12_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => k2_xcmplx_0(k17_euclid(k4_algstr_0(k15_euclid(2), A)), k3_xcmplx_0(k18_euclid(k4_algstr_0(k15_euclid(2), A)), k7_complex1))=k2_xcmplx_0(k4_xcmplx_0(k17_euclid(A)), k3_xcmplx_0(k4_xcmplx_0(k18_euclid(A)), k7_complex1))) ) ).
fof(t13_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => k2_euclid_3(k4_algstr_0(k15_euclid(2), A))=k4_xcmplx_0(k2_euclid_3(A))) ) ).
fof(t14_euclid_3, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k1_euclid_3(k6_xcmplx_0(A, B))=k5_algstr_0(k15_euclid(2), k1_euclid_3(A), k1_euclid_3(B))) ) ) ) ).
fof(t15_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => k2_euclid_3(k5_algstr_0(k15_euclid(2), A, B))=k6_xcmplx_0(k2_euclid_3(A), k2_euclid_3(B))) ) ) ) ).
fof(t16_euclid_3, axiom, k1_euclid_3(k5_complex1)=k4_struct_0(k15_euclid(2))).
fof(t17_euclid_3, axiom, k2_euclid_3(k4_struct_0(k15_euclid(2)))=k5_complex1).
fof(t18_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (k2_euclid_3(A)=k5_complex1 => A=k4_struct_0(k15_euclid(2))) ) ) ).
fof(t19_euclid_3, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_euclid_3(k3_xcmplx_0(B, A))=k1_rlvect_1(k15_euclid(2), k1_euclid_3(A), B)) ) ) ) ).
fof(t20_euclid_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => k2_euclid_3(k1_rlvect_1(k15_euclid(2), B, A))=k3_xcmplx_0(A, k2_euclid_3(B))) ) ) ) ).
fof(t21_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => k9_complex1(k2_euclid_3(A))=k3_square_1(k2_xcmplx_0(k1_square_1(k17_euclid(A)), k1_square_1(k18_euclid(A))))) ) ).
fof(t22_euclid_3, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (k3_finseq_1(A)=2 => k12_euclid(A)=k3_square_1(k2_xcmplx_0(k1_square_1(k1_funct_1(A, 1)), k1_square_1(k1_funct_1(A, 2))))) ) ) ).
fof(t23_euclid_3, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (k3_finseq_1(A)=2 & B=A)  => k12_euclid(B)=k12_euclid(A)) ) ) ) ) ).
fof(t24_euclid_3, axiom,  (! [A] :  (v1_xcmplx_0(A) => k12_euclid(k1_euclid_3(A))=k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(A)), k1_square_1(k4_complex1(A))))) ) ).
fof(t25_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => k9_complex1(k2_euclid_3(A))=k12_euclid(A)) ) ).
fof(d3_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => k3_euclid_3(A)=k1_comptrig(k2_euclid_3(A))) ) ).
fof(t26_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, k2_numbers) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (A=k2_euclid_3(B) | B=k1_euclid_3(A))  => k1_comptrig(A)=k3_euclid_3(B)) ) ) ) ) ).
fof(t27_euclid_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (A=k3_xcmplx_0(k12_euclid(C), k19_sin_cos(k3_euclid_3(C))) & B=k3_xcmplx_0(k12_euclid(C), k17_sin_cos(k3_euclid_3(C))))  => C=k19_euclid(A, B)) ) ) ) ) ) ) ).
fof(t28_euclid_3, axiom, k3_euclid_3(k4_struct_0(k15_euclid(2)))=k5_numbers).
fof(t29_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  ( ~ (A=k4_struct_0(k15_euclid(2)))  =>  ( ( ~ (r1_xxreal_0(k28_sin_cos, k3_euclid_3(A)))  => k3_euclid_3(k4_algstr_0(k15_euclid(2), A))=k2_xcmplx_0(k3_euclid_3(A), k28_sin_cos))  &  (r1_xxreal_0(k28_sin_cos, k3_euclid_3(A)) => k3_euclid_3(k4_algstr_0(k15_euclid(2), A))=k6_xcmplx_0(k3_euclid_3(A), k28_sin_cos)) ) ) ) ) ).
fof(t30_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (k3_euclid_3(A)=k5_numbers =>  (A=k19_euclid(k12_euclid(A), k5_numbers) & k18_euclid(A)=k5_numbers) ) ) ) ).
fof(t31_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  ( ~ (A=k4_struct_0(k15_euclid(2)))  =>  ( ~ (r1_xxreal_0(k28_sin_cos, k3_euclid_3(A)))  <=> r1_xxreal_0(k28_sin_cos, k3_euclid_3(k4_algstr_0(k15_euclid(2), A)))) ) ) ) ).
fof(t32_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( ~ ( (A=B & k5_algstr_0(k15_euclid(2), A, B)=k4_struct_0(k15_euclid(2))) )  =>  ( ~ (r1_xxreal_0(k28_sin_cos, k3_euclid_3(k5_algstr_0(k15_euclid(2), A, B))))  <=> r1_xxreal_0(k28_sin_cos, k3_euclid_3(k5_algstr_0(k15_euclid(2), B, A)))) ) ) ) ) ) ).
fof(t33_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (r2_hidden(k3_euclid_3(A), k2_rcomp_1(k5_numbers, k28_sin_cos)) <=>  ~ (r1_xxreal_0(k18_euclid(A), k5_numbers)) ) ) ) ).
fof(t34_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_xxreal_0(k28_sin_cos, k3_euclid_3(A)))  &  ( ~ (r1_xxreal_0(k28_sin_cos, k3_euclid_3(B)))  & r1_xxreal_0(k28_sin_cos, k3_euclid_3(k3_rlvect_1(k15_euclid(2), A, B)))) ) ) ) ) ) ) ).
fof(d4_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) => k4_euclid_3(A, B, C)=k4_complex2(k2_euclid_3(A), k2_euclid_3(B), k2_euclid_3(C))) ) ) ) ) ) ).
fof(t35_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) => k4_euclid_3(A, B, C)=k4_euclid_3(k5_algstr_0(k15_euclid(2), A, B), k4_struct_0(k15_euclid(2)), k5_algstr_0(k15_euclid(2), C, B))) ) ) ) ) ) ).
fof(t36_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (k4_euclid_3(A, B, C)=k5_numbers =>  (k3_euclid_3(k5_algstr_0(k15_euclid(2), A, B))=k3_euclid_3(k5_algstr_0(k15_euclid(2), C, B)) & k4_euclid_3(C, B, A)=k5_numbers) ) ) ) ) ) ) ) ).
fof(t37_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (k4_euclid_3(A, B, C)=k5_numbers)  => k4_euclid_3(C, B, A)=k6_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), k4_euclid_3(A, B, C))) ) ) ) ) ) ) ).
fof(t38_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (k4_euclid_3(C, B, A)=k5_numbers)  => k4_euclid_3(C, B, A)=k6_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), k4_euclid_3(A, B, C))) ) ) ) ) ) ) ).
fof(t39_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, k2_numbers) =>  (! [B] :  (m1_subset_1(B, k2_numbers) => k3_complex1(k1_complex2(A, B))=k3_real_1(k4_real_1(k3_complex1(A), k3_complex1(B)), k4_real_1(k4_complex1(A), k4_complex1(B)))) ) ) ) ).
fof(t40_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, k2_numbers) =>  (! [B] :  (m1_subset_1(B, k2_numbers) => k4_complex1(k1_complex2(A, B))=k3_real_1(k1_real_1(k4_real_1(k3_complex1(A), k4_complex1(B))), k4_real_1(k4_complex1(A), k3_complex1(B)))) ) ) ) ).
fof(t41_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => k22_rvsum_1(A, B)=k2_xcmplx_0(k3_xcmplx_0(k17_euclid(A), k17_euclid(B)), k3_xcmplx_0(k18_euclid(A), k18_euclid(B)))) ) ) ) ).
fof(t42_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => k22_rvsum_1(A, B)=k3_complex1(k1_complex2(k2_euclid_3(A), k2_euclid_3(B)))) ) ) ) ).
fof(t43_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (A=k4_struct_0(k15_euclid(2)))  &  ( ~ (B=k4_struct_0(k15_euclid(2)))  &  ~ ( (k22_rvsum_1(A, B)=k5_numbers <=>  (k4_euclid_3(A, k4_struct_0(k15_euclid(2)), B)=k7_xcmplx_0(k28_sin_cos, 2) | k4_euclid_3(A, k4_struct_0(k15_euclid(2)), B)=k3_xcmplx_0(k7_xcmplx_0(3, 2), k28_sin_cos)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (A=k4_struct_0(k15_euclid(2)))  &  ( ~ (B=k4_struct_0(k15_euclid(2)))  &  ~ ( ( ~ ( ( (k2_xcmplx_0(k4_xcmplx_0(k3_xcmplx_0(k17_euclid(A), k18_euclid(B))), k3_xcmplx_0(k18_euclid(A), k17_euclid(B)))=k3_xcmplx_0(k12_euclid(A), k12_euclid(B)) | k2_xcmplx_0(k4_xcmplx_0(k3_xcmplx_0(k17_euclid(A), k18_euclid(B))), k3_xcmplx_0(k18_euclid(A), k17_euclid(B)))=k4_xcmplx_0(k3_xcmplx_0(k12_euclid(A), k12_euclid(B))))  &  ( ~ (k4_euclid_3(A, k4_struct_0(k15_euclid(2)), B)=k7_xcmplx_0(k28_sin_cos, 2))  &  ~ (k4_euclid_3(A, k4_struct_0(k15_euclid(2)), B)=k3_xcmplx_0(k7_xcmplx_0(3, 2), k28_sin_cos)) ) ) )  &  ~ ( ( (k4_euclid_3(A, k4_struct_0(k15_euclid(2)), B)=k7_xcmplx_0(k28_sin_cos, 2) | k4_euclid_3(A, k4_struct_0(k15_euclid(2)), B)=k3_xcmplx_0(k7_xcmplx_0(3, 2), k28_sin_cos))  &  ( ~ (k2_xcmplx_0(k4_xcmplx_0(k3_xcmplx_0(k17_euclid(A), k18_euclid(B))), k3_xcmplx_0(k18_euclid(A), k17_euclid(B)))=k3_xcmplx_0(k12_euclid(A), k12_euclid(B)))  &  ~ (k2_xcmplx_0(k4_xcmplx_0(k3_xcmplx_0(k17_euclid(A), k18_euclid(B))), k3_xcmplx_0(k18_euclid(A), k17_euclid(B)))=k4_xcmplx_0(k3_xcmplx_0(k12_euclid(A), k12_euclid(B)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (A=B)  &  ( ~ (C=B)  &  ~ ( (k22_rvsum_1(k5_algstr_0(k15_euclid(2), A, B), k5_algstr_0(k15_euclid(2), C, B))=k5_numbers <=>  (k4_euclid_3(A, B, C)=k7_xcmplx_0(k28_sin_cos, 2) | k4_euclid_3(A, B, C)=k3_xcmplx_0(k7_xcmplx_0(3, 2), k28_sin_cos)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (A=B)  &  ( ~ (C=B)  &  ( (k4_euclid_3(A, B, C)=k7_xcmplx_0(k28_sin_cos, 2) | k4_euclid_3(A, B, C)=k3_xcmplx_0(k7_xcmplx_0(3, 2), k28_sin_cos))  &  ~ (k2_xcmplx_0(k1_square_1(k12_euclid(k5_algstr_0(k15_euclid(2), A, B))), k1_square_1(k12_euclid(k5_algstr_0(k15_euclid(2), C, B))))=k1_square_1(k12_euclid(k5_algstr_0(k15_euclid(2), A, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (B=A)  &  ( ~ (A=C)  &  ( ~ (C=B)  &  ( ~ (r1_xxreal_0(k28_sin_cos, k4_euclid_3(B, A, C)))  &  ~ (k2_xcmplx_0(k2_xcmplx_0(k4_euclid_3(B, A, C), k4_euclid_3(A, C, B)), k4_euclid_3(C, B, A))=k28_sin_cos) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) => k5_euclid_3(A, B, C, D)=k4_subset_1(u1_struct_0(k15_euclid(A)), k4_subset_1(u1_struct_0(k15_euclid(A)), k1_rltopsp1(k15_euclid(A), B, C), k1_rltopsp1(k15_euclid(A), C, D)), k1_rltopsp1(k15_euclid(A), D, B))) ) ) ) ) ) ) ) ).
fof(d7_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) => k7_euclid_3(A, B, C, D)=k7_subset_1(u1_struct_0(k15_euclid(A)), k6_euclid_3(A, B, C, D), k5_euclid_3(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(d9_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) => k9_euclid_3(A, B, C, D)=k4_subset_1(u1_struct_0(k15_euclid(A)), k8_euclid_3(A, B, C, D), k6_euclid_3(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t48_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  ~ ( (r2_tarski(E, k9_euclid_3(A, B, C, D)) &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ~ ( (k2_xcmplx_0(k2_xcmplx_0(F, G), H)=1 & E=k3_rlvect_1(k15_euclid(A), k3_rlvect_1(k15_euclid(A), k1_rlvect_1(k15_euclid(A), B, F), k1_rlvect_1(k15_euclid(A), C, G)), k1_rlvect_1(k15_euclid(A), D, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) => r1_tarski(k5_euclid_3(A, B, C, D), k6_euclid_3(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(d10_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (r1_euclid_3(A, B, C) <=>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (k3_rlvect_1(k15_euclid(A), k1_rlvect_1(k15_euclid(A), B, D), k1_rlvect_1(k15_euclid(A), C, E))=k4_struct_0(k15_euclid(A)) =>  (D=k5_numbers & E=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (r1_euclid_3(A, B, C) =>  ( ~ (B=C)  &  ( ~ (B=k4_struct_0(k15_euclid(A)))  &  ~ (C=k4_struct_0(k15_euclid(A))) ) ) ) ) ) ) ) ) ) ).
fof(t51_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  ~ ( (r1_euclid_3(A, k5_algstr_0(k15_euclid(A), C, B), k5_algstr_0(k15_euclid(A), D, B)) &  (r2_tarski(E, k9_euclid_3(A, B, C, D)) &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ~ ( (E=k3_rlvect_1(k15_euclid(A), k3_rlvect_1(k15_euclid(A), k1_rlvect_1(k15_euclid(A), B, F), k1_rlvect_1(k15_euclid(A), C, G)), k1_rlvect_1(k15_euclid(A), D, H)) &  (k2_xcmplx_0(k2_xcmplx_0(F, G), H)=1 &  (! [I] :  (v1_xreal_0(I) =>  (! [J] :  (v1_xreal_0(J) =>  (! [K] :  (v1_xreal_0(K) =>  ( (E=k3_rlvect_1(k15_euclid(A), k3_rlvect_1(k15_euclid(A), k1_rlvect_1(k15_euclid(A), B, I), k1_rlvect_1(k15_euclid(A), C, J)), k1_rlvect_1(k15_euclid(A), D, K)) & k2_xcmplx_0(k2_xcmplx_0(I, J), K)=1)  =>  (I=F &  (J=G & K=H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  ( (? [F] :  (v1_xreal_0(F) &  (? [G] :  (v1_xreal_0(G) &  (? [H] :  (v1_xreal_0(H) &  (E=k3_rlvect_1(k15_euclid(A), k3_rlvect_1(k15_euclid(A), k1_rlvect_1(k15_euclid(A), B, F), k1_rlvect_1(k15_euclid(A), C, G)), k1_rlvect_1(k15_euclid(A), D, H)) & k2_xcmplx_0(k2_xcmplx_0(F, G), H)=1) ) ) ) ) ) )  => r2_tarski(E, k9_euclid_3(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r1_euclid_3(2, k5_algstr_0(k15_euclid(2), B, A), k5_algstr_0(k15_euclid(2), C, A)) => k9_euclid_3(2, A, B, C)=k1_euclid(2)) ) ) ) ) ) ) ).
fof(d11_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  ( (r1_euclid_3(A, k5_algstr_0(k15_euclid(A), C, B), k5_algstr_0(k15_euclid(A), D, B)) & r2_tarski(E, k9_euclid_3(A, B, C, D)))  =>  (! [F] :  (v1_xreal_0(F) =>  (F=k10_euclid_3(A, B, C, D, E) <=>  (? [G] :  (v1_xreal_0(G) &  (? [H] :  (v1_xreal_0(H) &  (k2_xcmplx_0(k2_xcmplx_0(F, G), H)=1 & E=k3_rlvect_1(k15_euclid(A), k3_rlvect_1(k15_euclid(A), k1_rlvect_1(k15_euclid(A), B, F), k1_rlvect_1(k15_euclid(A), C, G)), k1_rlvect_1(k15_euclid(A), D, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  ( (r1_euclid_3(A, k5_algstr_0(k15_euclid(A), C, B), k5_algstr_0(k15_euclid(A), D, B)) & r2_tarski(E, k9_euclid_3(A, B, C, D)))  =>  (! [F] :  (v1_xreal_0(F) =>  (F=k11_euclid_3(A, B, C, D, E) <=>  (? [G] :  (v1_xreal_0(G) &  (? [H] :  (v1_xreal_0(H) &  (k2_xcmplx_0(k2_xcmplx_0(G, F), H)=1 & E=k3_rlvect_1(k15_euclid(A), k3_rlvect_1(k15_euclid(A), k1_rlvect_1(k15_euclid(A), B, G), k1_rlvect_1(k15_euclid(A), C, F)), k1_rlvect_1(k15_euclid(A), D, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  ( (r1_euclid_3(A, k5_algstr_0(k15_euclid(A), C, B), k5_algstr_0(k15_euclid(A), D, B)) & r2_tarski(E, k9_euclid_3(A, B, C, D)))  =>  (! [F] :  (v1_xreal_0(F) =>  (F=k12_euclid_3(A, B, C, D, E) <=>  (? [G] :  (v1_xreal_0(G) &  (? [H] :  (v1_xreal_0(H) &  (k2_xcmplx_0(k2_xcmplx_0(G, H), F)=1 & E=k3_rlvect_1(k15_euclid(A), k3_rlvect_1(k15_euclid(A), k1_rlvect_1(k15_euclid(A), B, G), k1_rlvect_1(k15_euclid(A), C, H)), k1_rlvect_1(k15_euclid(A), D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k15_euclid(2)), u1_struct_0(k3_topmetr)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k3_topmetr))))) )  =>  (D=k13_euclid_3(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) => k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k3_topmetr), D, E)=k10_euclid_3(2, A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k15_euclid(2)), u1_struct_0(k3_topmetr)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k3_topmetr))))) )  =>  (D=k14_euclid_3(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) => k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k3_topmetr), D, E)=k11_euclid_3(2, A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k15_euclid(2)), u1_struct_0(k3_topmetr)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k3_topmetr))))) )  =>  (D=k15_euclid_3(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) => k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k3_topmetr), D, E)=k12_euclid_3(2, A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r1_euclid_3(2, k5_algstr_0(k15_euclid(2), B, A), k5_algstr_0(k15_euclid(2), C, A)) =>  (r2_tarski(D, k8_euclid_3(2, A, B, C)) <=>  ~ ( (r1_xxreal_0(k5_numbers, k10_euclid_3(2, A, B, C, D)) &  (r1_xxreal_0(k5_numbers, k11_euclid_3(2, A, B, C, D)) & r1_xxreal_0(k5_numbers, k12_euclid_3(2, A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r1_euclid_3(2, k5_algstr_0(k15_euclid(2), B, A), k5_algstr_0(k15_euclid(2), C, A)) =>  (r2_tarski(D, k5_euclid_3(2, A, B, C)) <=>  (r1_xxreal_0(k5_numbers, k10_euclid_3(2, A, B, C, D)) &  (r1_xxreal_0(k5_numbers, k11_euclid_3(2, A, B, C, D)) &  (r1_xxreal_0(k5_numbers, k12_euclid_3(2, A, B, C, D)) &  ~ ( ( ~ (k10_euclid_3(2, A, B, C, D)=k5_numbers)  &  ( ~ (k11_euclid_3(2, A, B, C, D)=k5_numbers)  &  ~ (k12_euclid_3(2, A, B, C, D)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r1_euclid_3(2, k5_algstr_0(k15_euclid(2), B, A), k5_algstr_0(k15_euclid(2), C, A)) =>  (r2_tarski(D, k5_euclid_3(2, A, B, C)) <=>  ~ ( ( ~ ( (k10_euclid_3(2, A, B, C, D)=k5_numbers &  (r1_xxreal_0(k5_numbers, k11_euclid_3(2, A, B, C, D)) & r1_xxreal_0(k5_numbers, k12_euclid_3(2, A, B, C, D))) ) )  &  ( ~ ( (r1_xxreal_0(k5_numbers, k10_euclid_3(2, A, B, C, D)) &  (k11_euclid_3(2, A, B, C, D)=k5_numbers & r1_xxreal_0(k5_numbers, k12_euclid_3(2, A, B, C, D))) ) )  &  ~ ( (r1_xxreal_0(k5_numbers, k10_euclid_3(2, A, B, C, D)) &  (r1_xxreal_0(k5_numbers, k11_euclid_3(2, A, B, C, D)) & k12_euclid_3(2, A, B, C, D)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r1_euclid_3(2, k5_algstr_0(k15_euclid(2), B, A), k5_algstr_0(k15_euclid(2), C, A)) =>  (r2_tarski(D, k7_euclid_3(2, A, B, C)) <=>  ( ~ (r1_xxreal_0(k10_euclid_3(2, A, B, C, D), k5_numbers))  &  ( ~ (r1_xxreal_0(k11_euclid_3(2, A, B, C, D), k5_numbers))  &  ~ (r1_xxreal_0(k12_euclid_3(2, A, B, C, D), k5_numbers)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_euclid_3(2, k5_algstr_0(k15_euclid(2), B, A), k5_algstr_0(k15_euclid(2), C, A)) & v1_xboole_0(k7_euclid_3(2, A, B, C))) ) ) ) ) ) ) ) ).
fof(dt_k1_euclid_3, axiom,  (! [A] :  (v1_xcmplx_0(A) => m1_subset_1(k1_euclid_3(A), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k2_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => m1_subset_1(k2_euclid_3(A), k2_numbers)) ) ).
fof(dt_k3_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => v1_xreal_0(k3_euclid_3(A))) ) ).
fof(dt_k4_euclid_3, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, u1_struct_0(k15_euclid(2))) &  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) & m1_subset_1(C, u1_struct_0(k15_euclid(2)))) )  => v1_xreal_0(k4_euclid_3(A, B, C))) ) ).
fof(dt_k5_euclid_3, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, k4_ordinal1) &  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) &  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) & m1_subset_1(D, u1_struct_0(k15_euclid(A)))) ) )  => m1_subset_1(k5_euclid_3(A, B, C, D), k1_zfmisc_1(u1_struct_0(k15_euclid(A))))) ) ).
fof(dt_k6_euclid_3, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, k4_ordinal1) &  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) &  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) & m1_subset_1(D, u1_struct_0(k15_euclid(A)))) ) )  => m1_subset_1(k6_euclid_3(A, B, C, D), k1_zfmisc_1(u1_struct_0(k15_euclid(A))))) ) ).
fof(dt_k7_euclid_3, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, k4_ordinal1) &  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) &  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) & m1_subset_1(D, u1_struct_0(k15_euclid(A)))) ) )  => m1_subset_1(k7_euclid_3(A, B, C, D), k1_zfmisc_1(u1_struct_0(k15_euclid(A))))) ) ).
fof(dt_k8_euclid_3, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, k4_ordinal1) &  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) &  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) & m1_subset_1(D, u1_struct_0(k15_euclid(A)))) ) )  => m1_subset_1(k8_euclid_3(A, B, C, D), k1_zfmisc_1(u1_struct_0(k15_euclid(A))))) ) ).
fof(dt_k9_euclid_3, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, k4_ordinal1) &  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) &  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) & m1_subset_1(D, u1_struct_0(k15_euclid(A)))) ) )  => m1_subset_1(k9_euclid_3(A, B, C, D), k1_zfmisc_1(u1_struct_0(k15_euclid(A))))) ) ).
fof(dt_k10_euclid_3, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(A, k4_ordinal1) &  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) &  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) &  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) & m1_subset_1(E, u1_struct_0(k15_euclid(A)))) ) ) )  => v1_xreal_0(k10_euclid_3(A, B, C, D, E))) ) ).
fof(dt_k11_euclid_3, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(A, k4_ordinal1) &  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) &  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) &  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) & m1_subset_1(E, u1_struct_0(k15_euclid(A)))) ) ) )  => v1_xreal_0(k11_euclid_3(A, B, C, D, E))) ) ).
fof(dt_k12_euclid_3, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(A, k4_ordinal1) &  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) &  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) &  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) & m1_subset_1(E, u1_struct_0(k15_euclid(A)))) ) ) )  => v1_xreal_0(k12_euclid_3(A, B, C, D, E))) ) ).
fof(dt_k13_euclid_3, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, u1_struct_0(k15_euclid(2))) &  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) & m1_subset_1(C, u1_struct_0(k15_euclid(2)))) )  =>  (v1_funct_1(k13_euclid_3(A, B, C)) &  (v1_funct_2(k13_euclid_3(A, B, C), u1_struct_0(k15_euclid(2)), u1_struct_0(k3_topmetr)) & m1_subset_1(k13_euclid_3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k3_topmetr))))) ) ) ) ).
fof(dt_k14_euclid_3, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, u1_struct_0(k15_euclid(2))) &  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) & m1_subset_1(C, u1_struct_0(k15_euclid(2)))) )  =>  (v1_funct_1(k14_euclid_3(A, B, C)) &  (v1_funct_2(k14_euclid_3(A, B, C), u1_struct_0(k15_euclid(2)), u1_struct_0(k3_topmetr)) & m1_subset_1(k14_euclid_3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k3_topmetr))))) ) ) ) ).
fof(dt_k15_euclid_3, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, u1_struct_0(k15_euclid(2))) &  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) & m1_subset_1(C, u1_struct_0(k15_euclid(2)))) )  =>  (v1_funct_1(k15_euclid_3(A, B, C)) &  (v1_funct_2(k15_euclid_3(A, B, C), u1_struct_0(k15_euclid(2)), u1_struct_0(k3_topmetr)) & m1_subset_1(k15_euclid_3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k3_topmetr))))) ) ) ) ).
fof(d6_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) => k6_euclid_3(A, B, C, D)=a_4_0_euclid_3(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(d8_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) => k8_euclid_3(A, B, C, D)=a_4_1_euclid_3(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t53_euclid_3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) => k9_euclid_3(A, B, C, D)=a_4_2_euclid_3(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_euclid_3, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(B, k4_ordinal1) &  (m1_subset_1(C, u1_struct_0(k15_euclid(B))) &  (m1_subset_1(D, u1_struct_0(k15_euclid(B))) & m1_subset_1(E, u1_struct_0(k15_euclid(B)))) ) )  =>  (r2_hidden(A, a_4_0_euclid_3(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(B))) &  (A=F &  (? [G] :  (v1_xreal_0(G) &  (? [H] :  (v1_xreal_0(H) &  (? [I] :  (v1_xreal_0(I) &  (r1_xxreal_0(k5_numbers, G) &  (r1_xxreal_0(k5_numbers, H) &  (r1_xxreal_0(k5_numbers, I) &  (k2_xcmplx_0(k2_xcmplx_0(G, H), I)=1 & F=k3_rlvect_1(k15_euclid(B), k3_rlvect_1(k15_euclid(B), k1_rlvect_1(k15_euclid(B), C, G), k1_rlvect_1(k15_euclid(B), D, H)), k1_rlvect_1(k15_euclid(B), E, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_1_euclid_3, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(B, k4_ordinal1) &  (m1_subset_1(C, u1_struct_0(k15_euclid(B))) &  (m1_subset_1(D, u1_struct_0(k15_euclid(B))) & m1_subset_1(E, u1_struct_0(k15_euclid(B)))) ) )  =>  (r2_hidden(A, a_4_1_euclid_3(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(B))) &  (A=F &  (? [G] :  (v1_xreal_0(G) &  (? [H] :  (v1_xreal_0(H) &  (? [I] :  (v1_xreal_0(I) &  ( ~ ( (r1_xxreal_0(k5_numbers, G) &  (r1_xxreal_0(k5_numbers, H) & r1_xxreal_0(k5_numbers, I)) ) )  &  (k2_xcmplx_0(k2_xcmplx_0(G, H), I)=1 & F=k3_rlvect_1(k15_euclid(B), k3_rlvect_1(k15_euclid(B), k1_rlvect_1(k15_euclid(B), C, G), k1_rlvect_1(k15_euclid(B), D, H)), k1_rlvect_1(k15_euclid(B), E, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_2_euclid_3, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(B, k4_ordinal1) &  (m1_subset_1(C, u1_struct_0(k15_euclid(B))) &  (m1_subset_1(D, u1_struct_0(k15_euclid(B))) & m1_subset_1(E, u1_struct_0(k15_euclid(B)))) ) )  =>  (r2_hidden(A, a_4_2_euclid_3(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(B))) &  (A=F &  (? [G] :  (v1_xreal_0(G) &  (? [H] :  (v1_xreal_0(H) &  (? [I] :  (v1_xreal_0(I) &  (k2_xcmplx_0(k2_xcmplx_0(G, H), I)=1 & F=k3_rlvect_1(k15_euclid(B), k3_rlvect_1(k15_euclid(B), k1_rlvect_1(k15_euclid(B), C, G), k1_rlvect_1(k15_euclid(B), D, H)), k1_rlvect_1(k15_euclid(B), E, I))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_euclid_4, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, k1_euclid(A)) & m1_subset_1(C, k1_euclid(A))) )  =>  ~ (v1_xboole_0(k1_euclid_4(A, B, C))) ) ) ).
fof(t1_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (k7_euclid(A, k9_euclid(A, B, k5_numbers), B)=B & k7_euclid(A, B, k5_euclid(A))=B) ) ) ) ) ).
fof(t2_euclid_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) => k9_euclid(B, k5_euclid(B), A)=k5_euclid(B)) ) ) ) ).
fof(t3_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (k9_euclid(A, B, 1)=B & k9_euclid(A, B, k5_numbers)=k5_euclid(A)) ) ) ) ) ).
fof(t4_euclid_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(C)) => k9_euclid(C, D, k3_xcmplx_0(A, B))=k9_euclid(C, k9_euclid(C, D, B), A)) ) ) ) ) ) ) ) ).
fof(t5_euclid_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(B)) =>  ~ ( (k9_euclid(B, C, A)=k5_euclid(B) &  ( ~ (A=k5_numbers)  &  ~ (C=k5_euclid(B)) ) ) ) ) ) ) ) ) ) ).
fof(t6_euclid_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(B)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(B)) => k9_euclid(B, k7_euclid(B, C, D), A)=k7_euclid(B, k9_euclid(B, C, A), k9_euclid(B, D, A))) ) ) ) ) ) ) ) ).
fof(t7_euclid_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(C)) => k9_euclid(C, D, k2_xcmplx_0(A, B))=k7_euclid(C, k9_euclid(C, D, A), k9_euclid(C, D, B))) ) ) ) ) ) ) ) ).
fof(t8_euclid_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(B)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(B)) =>  ~ ( (k9_euclid(B, C, A)=k9_euclid(B, D, A) &  ( ~ (A=k5_numbers)  &  ~ (C=D) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (r2_tarski(B, k2_euclid_4(A, B, C)) & r2_tarski(C, k2_euclid_4(A, B, C))) ) ) ) ) ) ) ).
fof(t10_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  ( (r2_tarski(D, k2_euclid_4(A, B, C)) & r2_tarski(E, k2_euclid_4(A, B, C)))  => r1_tarski(k2_euclid_4(A, D, E), k2_euclid_4(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  ( (r2_tarski(D, k2_euclid_4(A, B, C)) & r2_tarski(E, k2_euclid_4(A, B, C)))  =>  (D=E | r1_tarski(k2_euclid_4(A, B, C), k2_euclid_4(A, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) =>  (v1_euclid_4(B, A) <=>  (? [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) &  (? [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) &  ( ~ (C=D)  & B=k2_euclid_4(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t12_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_euclid(A))) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  ~ ( (v1_euclid_4(B, A) &  (v1_euclid_4(C, A) &  (r2_tarski(D, B) &  (r2_tarski(E, B) &  (r2_tarski(D, C) &  (r2_tarski(E, C) &  ( ~ (D=E)  &  ~ (B=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) =>  ~ ( (v1_euclid_4(B, A) &  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  ~ ( (r2_tarski(C, B) &  (r2_tarski(D, B) &  ~ (C=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_euclid(A))) =>  ~ ( (v1_euclid_4(C, A) &  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  ~ ( ( ~ (B=D)  & r2_tarski(D, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) => k12_euclid(B)=k3_square_1(k22_rvsum_1(B, B))) ) ) ) ).
fof(t16_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (k22_rvsum_1(B, B)=k5_numbers <=> k12_euclid(B)=k5_numbers) ) ) ) ) ).
fof(t17_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (k22_rvsum_1(B, B)=k5_numbers <=> B=k5_euclid(A)) ) ) ) ) ).
fof(t18_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) => k22_rvsum_1(B, k5_euclid(A))=k5_numbers) ) ) ) ).
fof(t19_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) => k22_rvsum_1(k5_euclid(A), B)=k5_numbers) ) ) ) ).
fof(t20_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) => k22_rvsum_1(k7_euclid(A, B, C), D)=k2_xcmplx_0(k22_rvsum_1(B, D), k22_rvsum_1(C, D))) ) ) ) ) ) ) ) ).
fof(t21_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (v1_xreal_0(D) => k22_rvsum_1(k9_euclid(A, B, D), C)=k3_xcmplx_0(D, k22_rvsum_1(B, C))) ) ) ) ) ) ) ) ).
fof(t22_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (v1_xreal_0(D) => k22_rvsum_1(B, k9_euclid(A, C, D))=k3_xcmplx_0(D, k22_rvsum_1(B, C))) ) ) ) ) ) ) ) ).
fof(t23_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) => k22_rvsum_1(k6_euclid(A, B), C)=k4_xcmplx_0(k22_rvsum_1(B, C))) ) ) ) ) ) ).
fof(t24_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) => k22_rvsum_1(B, k6_euclid(A, C))=k4_xcmplx_0(k22_rvsum_1(B, C))) ) ) ) ) ) ).
fof(t25_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) => k22_rvsum_1(k6_euclid(A, B), k6_euclid(A, C))=k22_rvsum_1(B, C)) ) ) ) ) ) ).
fof(t26_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) => k22_rvsum_1(k8_euclid(A, B, C), D)=k6_xcmplx_0(k22_rvsum_1(B, D), k22_rvsum_1(C, D))) ) ) ) ) ) ) ) ).
fof(t27_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(A)) => k22_rvsum_1(k7_euclid(A, k9_euclid(A, D, B), k9_euclid(A, E, C)), F)=k2_xcmplx_0(k3_xcmplx_0(B, k22_rvsum_1(D, F)), k3_xcmplx_0(C, k22_rvsum_1(E, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) => k22_rvsum_1(B, k7_euclid(A, C, D))=k2_xcmplx_0(k22_rvsum_1(B, C), k22_rvsum_1(B, D))) ) ) ) ) ) ) ) ).
fof(t29_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) => k22_rvsum_1(B, k8_euclid(A, C, D))=k6_xcmplx_0(k22_rvsum_1(B, C), k22_rvsum_1(B, D))) ) ) ) ) ) ) ) ).
fof(t30_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) => k22_rvsum_1(k7_euclid(A, B, C), k7_euclid(A, D, E))=k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k22_rvsum_1(B, D), k22_rvsum_1(B, E)), k22_rvsum_1(C, D)), k22_rvsum_1(C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t31_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) => k22_rvsum_1(k8_euclid(A, B, C), k8_euclid(A, D, E))=k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k22_rvsum_1(B, D), k22_rvsum_1(B, E)), k22_rvsum_1(C, D)), k22_rvsum_1(C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t32_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) => k22_rvsum_1(k7_euclid(A, B, C), k7_euclid(A, B, C))=k2_xcmplx_0(k2_xcmplx_0(k22_rvsum_1(B, B), k3_xcmplx_0(2, k22_rvsum_1(B, C))), k22_rvsum_1(C, C))) ) ) ) ) ) ).
fof(t33_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) => k22_rvsum_1(k8_euclid(A, B, C), k8_euclid(A, B, C))=k2_xcmplx_0(k6_xcmplx_0(k22_rvsum_1(B, B), k3_xcmplx_0(2, k22_rvsum_1(B, C))), k22_rvsum_1(C, C))) ) ) ) ) ) ).
fof(t34_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) => k1_square_1(k12_euclid(k7_euclid(A, B, C)))=k2_xcmplx_0(k2_xcmplx_0(k1_square_1(k12_euclid(B)), k3_xcmplx_0(2, k22_rvsum_1(B, C))), k1_square_1(k12_euclid(C)))) ) ) ) ) ) ).
fof(t35_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) => k1_square_1(k12_euclid(k8_euclid(A, B, C)))=k2_xcmplx_0(k6_xcmplx_0(k1_square_1(k12_euclid(B)), k3_xcmplx_0(2, k22_rvsum_1(B, C))), k1_square_1(k12_euclid(C)))) ) ) ) ) ) ).
fof(t36_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) => k2_xcmplx_0(k1_square_1(k12_euclid(k7_euclid(A, B, C))), k1_square_1(k12_euclid(k8_euclid(A, B, C))))=k3_xcmplx_0(2, k2_xcmplx_0(k1_square_1(k12_euclid(B)), k1_square_1(k12_euclid(C))))) ) ) ) ) ) ).
fof(t37_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) => k6_xcmplx_0(k1_square_1(k12_euclid(k7_euclid(A, B, C))), k1_square_1(k12_euclid(k8_euclid(A, B, C))))=k3_xcmplx_0(4, k22_rvsum_1(B, C))) ) ) ) ) ) ).
fof(t38_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) => r1_xxreal_0(k9_complex1(k22_rvsum_1(B, C)), k3_xcmplx_0(k12_euclid(B), k12_euclid(C)))) ) ) ) ) ) ).
fof(t41_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (r2_tarski(B, k5_rltopsp1(k15_euclid(A), B, C)) & r2_tarski(C, k5_rltopsp1(k15_euclid(A), B, C))) ) ) ) ) ) ) ).
fof(t42_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  ( (r2_tarski(D, k5_rltopsp1(k15_euclid(A), B, C)) & r2_tarski(E, k5_rltopsp1(k15_euclid(A), B, C)))  => r1_tarski(k5_rltopsp1(k15_euclid(A), D, E), k5_rltopsp1(k15_euclid(A), B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  ( (r2_tarski(D, k5_rltopsp1(k15_euclid(A), B, C)) & r2_tarski(E, k5_rltopsp1(k15_euclid(A), B, C)))  =>  (D=E | r1_tarski(k5_rltopsp1(k15_euclid(A), B, C), k5_rltopsp1(k15_euclid(A), D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (v2_euclid_4(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) &  (? [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) &  ( ~ (C=D)  & B=k5_rltopsp1(k15_euclid(A), C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t44_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  ~ ( (v2_euclid_4(D, A) &  (v2_euclid_4(E, A) &  (r2_tarski(B, D) &  (r2_tarski(C, D) &  (r2_tarski(B, E) &  (r2_tarski(C, E) &  ( ~ (B=C)  &  ~ (D=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  ~ ( (v2_euclid_4(B, A) &  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  ~ ( (r2_tarski(C, B) &  (r2_tarski(D, B) &  ~ (C=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  ~ ( (v2_euclid_4(C, A) &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  ~ ( ( ~ (B=D)  & r2_tarski(D, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_euclid_4, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, k1_euclid(A)) & m1_subset_1(C, k1_euclid(A))) )  => m1_subset_1(k1_euclid_4(A, B, C), k1_zfmisc_1(k1_euclid(A)))) ) ).
fof(dt_k2_euclid_4, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, k1_euclid(A)) & m1_subset_1(C, k1_euclid(A))) )  => m1_subset_1(k2_euclid_4(A, B, C), k1_zfmisc_1(k1_euclid(A)))) ) ).
fof(commutativity_k2_euclid_4, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, k1_euclid(A)) & m1_subset_1(C, k1_euclid(A))) )  => k2_euclid_4(A, B, C)=k2_euclid_4(A, C, B)) ) ).
fof(redefinition_k2_euclid_4, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, k1_euclid(A)) & m1_subset_1(C, k1_euclid(A))) )  => k2_euclid_4(A, B, C)=k1_euclid_4(A, B, C)) ) ).
fof(d1_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) => k1_euclid_4(A, B, C)=a_3_0_euclid_4(A, B, C)) ) ) ) ) ) ).
fof(t40_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  ~ ( (B=a_4_0_euclid_4(A, C, D, E) &  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(A)) =>  ~ ( (r2_tarski(F, k2_euclid_4(A, C, D)) &  (k12_euclid(k8_euclid(A, E, F))=k3_seq_4(B) & r1_rvsum_1(k8_euclid(A, C, D), k8_euclid(A, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_euclid_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  ~ ( (B=a_4_1_euclid_4(A, C, D, E) &  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(A))) =>  ~ ( (r2_tarski(F, k5_rltopsp1(k15_euclid(A), C, D)) &  (k12_euclid(k5_algstr_0(k15_euclid(A), E, F))=k3_seq_4(B) & r1_rvsum_1(k5_algstr_0(k15_euclid(A), C, D), k5_algstr_0(k15_euclid(A), E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_euclid_4, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(B) &  (m2_finseq_2(C, k1_numbers, k1_euclid(B)) & m2_finseq_2(D, k1_numbers, k1_euclid(B))) )  =>  (r2_hidden(A, a_3_0_euclid_4(B, C, D)) <=>  (? [E] :  (v1_xreal_0(E) & A=k7_euclid(B, k9_euclid(B, C, k6_xcmplx_0(1, E)), k9_euclid(B, D, E))) ) ) ) ) ).
fof(fraenkel_a_4_0_euclid_4, axiom,  (! [A, B, C, D, E] :  ( (v7_ordinal1(B) &  (m2_finseq_2(C, k1_numbers, k1_euclid(B)) &  (m2_finseq_2(D, k1_numbers, k1_euclid(B)) & m2_finseq_2(E, k1_numbers, k1_euclid(B))) ) )  =>  (r2_hidden(A, a_4_0_euclid_4(B, C, D, E)) <=>  (? [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(B)) &  (A=k12_euclid(k8_euclid(B, E, F)) & r2_tarski(F, k2_euclid_4(B, C, D))) ) ) ) ) ) ).
fof(fraenkel_a_4_1_euclid_4, axiom,  (! [A, B, C, D, E] :  ( (v7_ordinal1(B) &  (m1_subset_1(C, u1_struct_0(k15_euclid(B))) &  (m1_subset_1(D, u1_struct_0(k15_euclid(B))) & m1_subset_1(E, u1_struct_0(k15_euclid(B)))) ) )  =>  (r2_hidden(A, a_4_1_euclid_4(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(B))) &  (A=k12_euclid(k5_algstr_0(k15_euclid(B), E, F)) & r2_tarski(F, k5_rltopsp1(k15_euclid(B), C, D))) ) ) ) ) ) ).
fof(fc1_euclid_5, axiom,  (v5_rltopsp1(k15_euclid(3)) & v1_anproj_2(k15_euclid(3))) ).
fof(t1_euclid_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (? [B] :  (v1_xreal_0(B) &  (? [C] :  (v1_xreal_0(C) &  (? [D] :  (v1_xreal_0(D) & A=k11_finseq_1(B, C, D)) ) ) ) ) ) ) ) ).
fof(d1_euclid_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) => k1_euclid_5(A)=k1_funct_1(A, 1)) ) ).
fof(d2_euclid_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) => k2_euclid_5(A)=k1_funct_1(A, 2)) ) ).
fof(d3_euclid_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) => k3_euclid_5(A)=k1_funct_1(A, 3)) ) ).
fof(t2_euclid_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (k1_euclid_5(k4_euclid_5(A, B, C))=A &  (k2_euclid_5(k4_euclid_5(A, B, C))=B & k3_euclid_5(k4_euclid_5(A, B, C))=C) ) ) ) ) ) ) ) ).
fof(t3_euclid_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) => A=k4_euclid_5(k1_euclid_5(A), k2_euclid_5(A), k3_euclid_5(A))) ) ).
fof(t4_euclid_5, axiom, k4_struct_0(k15_euclid(3))=k4_euclid_5(k5_numbers, k5_numbers, k5_numbers)).
fof(t5_euclid_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) => k3_rlvect_1(k15_euclid(3), A, B)=k4_euclid_5(k2_xcmplx_0(k1_euclid_5(A), k1_euclid_5(B)), k2_xcmplx_0(k2_euclid_5(A), k2_euclid_5(B)), k2_xcmplx_0(k3_euclid_5(A), k3_euclid_5(B)))) ) ) ) ).
fof(t6_euclid_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) => k3_rlvect_1(k15_euclid(3), k4_euclid_5(A, C, E), k4_euclid_5(B, D, F))=k4_euclid_5(k2_xcmplx_0(A, B), k2_xcmplx_0(C, D), k2_xcmplx_0(E, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_euclid_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) => k1_rlvect_1(k15_euclid(3), B, A)=k4_euclid_5(k3_xcmplx_0(A, k1_euclid_5(B)), k3_xcmplx_0(A, k2_euclid_5(B)), k3_xcmplx_0(A, k3_euclid_5(B)))) ) ) ) ).
fof(t8_euclid_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => k1_rlvect_1(k15_euclid(3), k4_euclid_5(B, C, D), A)=k4_euclid_5(k3_xcmplx_0(A, B), k3_xcmplx_0(A, C), k3_xcmplx_0(A, D))) ) ) ) ) ) ) ) ).
fof(t9_euclid_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (k1_euclid_5(k1_rlvect_1(k15_euclid(3), B, A))=k3_xcmplx_0(A, k1_euclid_5(B)) &  (k2_euclid_5(k1_rlvect_1(k15_euclid(3), B, A))=k3_xcmplx_0(A, k2_euclid_5(B)) & k3_euclid_5(k1_rlvect_1(k15_euclid(3), B, A))=k3_xcmplx_0(A, k3_euclid_5(B))) ) ) ) ) ) ).
fof(t10_euclid_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) => k4_algstr_0(k15_euclid(3), A)=k4_euclid_5(k4_xcmplx_0(k1_euclid_5(A)), k4_xcmplx_0(k2_euclid_5(A)), k4_xcmplx_0(k3_euclid_5(A)))) ) ).
fof(t11_euclid_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) => k4_algstr_0(k15_euclid(3), k4_euclid_5(A, B, C))=k4_euclid_5(k4_xcmplx_0(A), k4_xcmplx_0(B), k4_xcmplx_0(C))) ) ) ) ) ) ).
fof(t12_euclid_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) => k5_algstr_0(k15_euclid(3), A, B)=k4_euclid_5(k6_xcmplx_0(k1_euclid_5(A), k1_euclid_5(B)), k6_xcmplx_0(k2_euclid_5(A), k2_euclid_5(B)), k6_xcmplx_0(k3_euclid_5(A), k3_euclid_5(B)))) ) ) ) ).
fof(t13_euclid_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) => k5_algstr_0(k15_euclid(3), k4_euclid_5(A, C, E), k4_euclid_5(B, D, F))=k4_euclid_5(k6_xcmplx_0(A, B), k6_xcmplx_0(C, D), k6_xcmplx_0(E, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_euclid_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) => k5_euclid_5(A, B)=k4_euclid_5(k6_xcmplx_0(k3_xcmplx_0(k2_euclid_5(A), k3_euclid_5(B)), k3_xcmplx_0(k3_euclid_5(A), k2_euclid_5(B))), k6_xcmplx_0(k3_xcmplx_0(k3_euclid_5(A), k1_euclid_5(B)), k3_xcmplx_0(k1_euclid_5(A), k3_euclid_5(B))), k6_xcmplx_0(k3_xcmplx_0(k1_euclid_5(A), k2_euclid_5(B)), k3_xcmplx_0(k2_euclid_5(A), k1_euclid_5(B))))) ) ) ) ).
fof(t14_euclid_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(3))) =>  (D=k4_euclid_5(A, B, C) =>  (k1_euclid_5(D)=A &  (k2_euclid_5(D)=B & k3_euclid_5(D)=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_euclid_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) => k5_euclid_5(k4_euclid_5(A, C, E), k4_euclid_5(B, D, F))=k4_euclid_5(k6_xcmplx_0(k3_xcmplx_0(C, F), k3_xcmplx_0(E, D)), k6_xcmplx_0(k3_xcmplx_0(E, B), k3_xcmplx_0(A, F)), k6_xcmplx_0(k3_xcmplx_0(A, D), k3_xcmplx_0(C, B)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_euclid_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  (k5_euclid_5(k1_rlvect_1(k15_euclid(3), B, A), C)=k1_rlvect_1(k15_euclid(3), k5_euclid_5(B, C), A) & k5_euclid_5(k1_rlvect_1(k15_euclid(3), B, A), C)=k5_euclid_5(B, k1_rlvect_1(k15_euclid(3), C, A))) ) ) ) ) ) ) ).
fof(t17_euclid_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) => k5_euclid_5(A, B)=k4_algstr_0(k15_euclid(3), k5_euclid_5(B, A))) ) ) ) ).
fof(t18_euclid_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) => k5_euclid_5(k4_algstr_0(k15_euclid(3), A), B)=k5_euclid_5(A, k4_algstr_0(k15_euclid(3), B))) ) ) ) ).
fof(t19_euclid_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) => k5_euclid_5(k4_euclid_5(k5_numbers, k5_numbers, k5_numbers), k4_euclid_5(A, B, C))=k4_struct_0(k15_euclid(3))) ) ) ) ) ) ).
fof(t20_euclid_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k5_euclid_5(k4_euclid_5(A, k5_numbers, k5_numbers), k4_euclid_5(B, k5_numbers, k5_numbers))=k4_struct_0(k15_euclid(3))) ) ) ) ).
fof(t21_euclid_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k5_euclid_5(k4_euclid_5(k5_numbers, A, k5_numbers), k4_euclid_5(k5_numbers, B, k5_numbers))=k4_struct_0(k15_euclid(3))) ) ) ) ).
fof(t22_euclid_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k5_euclid_5(k4_euclid_5(k5_numbers, k5_numbers, A), k4_euclid_5(k5_numbers, k5_numbers, B))=k4_struct_0(k15_euclid(3))) ) ) ) ).
fof(t23_euclid_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) => k5_euclid_5(A, k3_rlvect_1(k15_euclid(3), B, C))=k3_rlvect_1(k15_euclid(3), k5_euclid_5(A, B), k5_euclid_5(A, C))) ) ) ) ) ) ).
fof(t24_euclid_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) => k5_euclid_5(k3_rlvect_1(k15_euclid(3), A, B), C)=k3_rlvect_1(k15_euclid(3), k5_euclid_5(A, C), k5_euclid_5(B, C))) ) ) ) ) ) ).
fof(t25_euclid_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) => k5_euclid_5(A, A)=k4_struct_0(k15_euclid(3))) ) ).
fof(t26_euclid_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(3))) => k5_euclid_5(k3_rlvect_1(k15_euclid(3), A, B), k3_rlvect_1(k15_euclid(3), C, D))=k3_rlvect_1(k15_euclid(3), k3_rlvect_1(k15_euclid(3), k3_rlvect_1(k15_euclid(3), k5_euclid_5(A, C), k5_euclid_5(A, D)), k5_euclid_5(B, C)), k5_euclid_5(B, D))) ) ) ) ) ) ) ) ).
fof(t27_euclid_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) => A=k11_finseq_1(k1_euclid_5(A), k2_euclid_5(A), k3_euclid_5(A))) ) ).
fof(t28_euclid_5, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  ( (k3_finseq_1(A)=3 & k3_finseq_1(B)=3)  => k14_rvsum_1(A, B)=k11_finseq_1(k3_xcmplx_0(k1_funct_1(A, 1), k1_funct_1(B, 1)), k3_xcmplx_0(k1_funct_1(A, 2), k1_funct_1(B, 2)), k3_xcmplx_0(k1_funct_1(A, 3), k1_funct_1(B, 3)))) ) ) ) ) ).
fof(t29_euclid_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) => k22_rvsum_1(A, B)=k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k1_euclid_5(A), k1_euclid_5(B)), k3_xcmplx_0(k2_euclid_5(A), k2_euclid_5(B))), k3_xcmplx_0(k3_euclid_5(A), k3_euclid_5(B)))) ) ) ) ).
fof(t30_euclid_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) => k22_rvsum_1(k4_euclid_5(C, D, A), k4_euclid_5(E, F, B))=k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(C, E), k3_xcmplx_0(D, F)), k3_xcmplx_0(A, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_euclid_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) => k6_euclid_5(A, B, C)=k22_rvsum_1(A, k5_euclid_5(B, C))) ) ) ) ) ) ).
fof(t31_euclid_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (k6_euclid_5(A, A, B)=k5_numbers & k6_euclid_5(B, A, B)=k5_numbers) ) ) ) ) ).
fof(t32_euclid_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) => k5_euclid_5(A, k5_euclid_5(B, C))=k5_algstr_0(k15_euclid(3), k1_rlvect_1(k15_euclid(3), B, k22_rvsum_1(A, C)), k1_rlvect_1(k15_euclid(3), C, k22_rvsum_1(A, B)))) ) ) ) ) ) ).
fof(t33_euclid_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) => k6_euclid_5(A, B, C)=k6_euclid_5(B, C, A)) ) ) ) ) ) ).
fof(t34_euclid_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) => k6_euclid_5(A, B, C)=k6_euclid_5(C, A, B)) ) ) ) ) ) ).
fof(t35_euclid_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) => k6_euclid_5(A, B, C)=k22_rvsum_1(k5_euclid_5(A, B), C)) ) ) ) ) ) ).
fof(dt_k1_euclid_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) => v1_xreal_0(k1_euclid_5(A))) ) ).
fof(dt_k2_euclid_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) => v1_xreal_0(k2_euclid_5(A))) ) ).
fof(dt_k3_euclid_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) => v1_xreal_0(k3_euclid_5(A))) ) ).
fof(dt_k4_euclid_5, axiom,  (! [A, B, C] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) & v1_xreal_0(C)) )  => m1_subset_1(k4_euclid_5(A, B, C), u1_struct_0(k15_euclid(3)))) ) ).
fof(redefinition_k4_euclid_5, axiom,  (! [A, B, C] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) & v1_xreal_0(C)) )  => k4_euclid_5(A, B, C)=k11_finseq_1(A, B, C)) ) ).
fof(dt_k5_euclid_5, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k15_euclid(3))) & m1_subset_1(B, u1_struct_0(k15_euclid(3))))  => m1_subset_1(k5_euclid_5(A, B), u1_struct_0(k15_euclid(3)))) ) ).
fof(dt_k6_euclid_5, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, u1_struct_0(k15_euclid(3))) &  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) & m1_subset_1(C, u1_struct_0(k15_euclid(3)))) )  => v1_xreal_0(k6_euclid_5(A, B, C))) ) ).
fof(t1_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  ( (k17_sin_cos(k4_euclid_3(A, B, C))=k17_sin_cos(k4_euclid_3(D, E, F)) & k19_sin_cos(k4_euclid_3(A, B, C))=k19_sin_cos(k4_euclid_3(D, E, F)))  => k4_euclid_3(A, B, C)=k4_euclid_3(D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) => k17_sin_cos(k4_euclid_3(A, B, C))=k4_xcmplx_0(k17_sin_cos(k4_euclid_3(C, B, A)))) ) ) ) ) ) ).
fof(t3_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) => k19_sin_cos(k4_euclid_3(A, B, C))=k19_sin_cos(k4_euclid_3(C, B, A))) ) ) ) ) ) ).
fof(t4_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (k2_xcmplx_0(k4_euclid_3(A, D, B), k4_euclid_3(B, D, C))=k4_euclid_3(A, D, C) | k2_xcmplx_0(k4_euclid_3(A, D, B), k4_euclid_3(B, D, C))=k2_xcmplx_0(k4_euclid_3(A, D, C), k3_xcmplx_0(2, k28_sin_cos))) ) ) ) ) ) ) ) ) ).
fof(d1_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) => k1_euclid_6(A, B, C)=k7_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k17_euclid(A), k18_euclid(B)), k3_xcmplx_0(k17_euclid(B), k18_euclid(A))), k6_xcmplx_0(k3_xcmplx_0(k17_euclid(B), k18_euclid(C)), k3_xcmplx_0(k17_euclid(C), k18_euclid(B)))), k6_xcmplx_0(k3_xcmplx_0(k17_euclid(C), k18_euclid(A)), k3_xcmplx_0(k17_euclid(A), k18_euclid(C)))), 2)) ) ) ) ) ) ).
fof(d2_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) => k2_euclid_6(A, B, C)=k2_xcmplx_0(k2_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), B, A)), k12_euclid(k5_algstr_0(k15_euclid(2), C, B))), k12_euclid(k5_algstr_0(k15_euclid(2), A, C)))) ) ) ) ) ) ).
fof(t5_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) => k1_euclid_6(A, B, C)=k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), A, B)), k12_euclid(k5_algstr_0(k15_euclid(2), C, B))), k17_sin_cos(k4_euclid_3(C, B, A))), 2)) ) ) ) ) ) ).
fof(t6_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (B=A)  => k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), C, B)), k17_sin_cos(k4_euclid_3(C, B, A)))=k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), C, A)), k17_sin_cos(k4_euclid_3(B, A, C)))) ) ) ) ) ) ) ).
fof(t7_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (D=k12_euclid(k5_algstr_0(k15_euclid(2), A, B)) &  (E=k12_euclid(k5_algstr_0(k15_euclid(2), C, B)) & F=k12_euclid(k5_algstr_0(k15_euclid(2), C, A))) )  => k1_square_1(F)=k6_xcmplx_0(k2_xcmplx_0(k1_square_1(D), k1_square_1(E)), k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, D), E), k19_sin_cos(k4_euclid_3(A, B, C))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(C, k1_rltopsp1(k15_euclid(2), A, B)) =>  (C=A |  (C=B | k4_euclid_3(A, C, B)=k28_sin_cos) ) ) ) ) ) ) ) ) ).
fof(t9_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, k1_rltopsp1(k15_euclid(2), B, C)) =>  (D=B | k4_euclid_3(C, B, A)=k4_euclid_3(D, B, A)) ) ) ) ) ) ) ) ) ) ).
fof(t10_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, k1_rltopsp1(k15_euclid(2), B, C)) =>  (D=B | k4_euclid_3(A, B, C)=k4_euclid_3(A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t11_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (k4_euclid_3(A, C, B)=k28_sin_cos => r2_tarski(C, k1_rltopsp1(k15_euclid(2), A, B))) ) ) ) ) ) ) ).
fof(t12_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(D, k1_rltopsp1(k15_euclid(2), A, B)) &  (r2_tarski(D, k1_rltopsp1(k15_euclid(2), A, C)) &  ( ~ (B=C)  &  ( ~ (D=A)  &  ( ~ (r2_tarski(B, k1_rltopsp1(k15_euclid(2), A, C)))  &  ~ (r2_tarski(C, k1_rltopsp1(k15_euclid(2), A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(D, k1_rltopsp1(k15_euclid(2), A, C)) &  ( ~ (D=A)  &  ( ~ (D=C)  &  ( ~ (k2_xcmplx_0(k4_euclid_3(A, D, B), k4_euclid_3(B, D, C))=k28_sin_cos)  &  ~ (k2_xcmplx_0(k4_euclid_3(A, D, B), k4_euclid_3(B, D, C))=k3_xcmplx_0(3, k28_sin_cos)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, k1_rltopsp1(k15_euclid(2), A, B)) =>  (D=A |  (D=B |  ( ( ~ (k4_euclid_3(C, D, A)=k7_xcmplx_0(k28_sin_cos, 2))  &  ~ (k4_euclid_3(C, D, A)=k3_xcmplx_0(k7_xcmplx_0(3, 2), k28_sin_cos)) )  | k4_euclid_3(A, D, C)=k4_euclid_3(C, D, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(E, k1_rltopsp1(k15_euclid(2), A, C)) & r2_tarski(E, k1_rltopsp1(k15_euclid(2), B, D)))  =>  (E=A |  (E=B |  (E=C |  (E=D | k4_euclid_3(A, E, B)=k4_euclid_3(C, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (k12_euclid(k5_algstr_0(k15_euclid(2), C, A))=k12_euclid(k5_algstr_0(k15_euclid(2), B, C)) =>  (A=B | k4_euclid_3(C, A, B)=k4_euclid_3(A, B, C)) ) ) ) ) ) ) ) ).
fof(t17_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, k1_rltopsp1(k15_euclid(2), A, B)) =>  (D=B |  (k22_rvsum_1(k5_algstr_0(k15_euclid(2), C, D), k5_algstr_0(k15_euclid(2), B, A))=k5_numbers <=> k22_rvsum_1(k5_algstr_0(k15_euclid(2), C, D), k5_algstr_0(k15_euclid(2), B, D))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (k12_euclid(k5_algstr_0(k15_euclid(2), A, C))=k12_euclid(k5_algstr_0(k15_euclid(2), B, C)) & r2_tarski(D, k1_rltopsp1(k15_euclid(2), A, B)))  =>  (D=C |  (D=A |  ( ( ~ (k4_euclid_3(C, D, A)=k7_xcmplx_0(k28_sin_cos, 2))  &  ~ (k4_euclid_3(C, D, A)=k3_xcmplx_0(k7_xcmplx_0(3, 2), k28_sin_cos)) )  | k4_euclid_3(A, C, D)=k4_euclid_3(D, C, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (k12_euclid(k5_algstr_0(k15_euclid(2), A, C))=k12_euclid(k5_algstr_0(k15_euclid(2), B, C)) & r2_tarski(D, k1_rltopsp1(k15_euclid(2), A, B)))  =>  (D=C |  ( (k4_euclid_3(A, C, D)=k4_euclid_3(D, C, B) => k12_euclid(k5_algstr_0(k15_euclid(2), A, D))=k12_euclid(k5_algstr_0(k15_euclid(2), D, B)))  &  ( (k12_euclid(k5_algstr_0(k15_euclid(2), A, D))=k12_euclid(k5_algstr_0(k15_euclid(2), D, B)) => k22_rvsum_1(k5_algstr_0(k15_euclid(2), C, D), k5_algstr_0(k15_euclid(2), B, A))=k5_numbers)  &  (k22_rvsum_1(k5_algstr_0(k15_euclid(2), C, D), k5_algstr_0(k15_euclid(2), B, A))=k5_numbers => k4_euclid_3(A, C, D)=k4_euclid_3(D, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  <=>  (r1_zfmisc_1(A, B, C) &  ( ~ (k4_euclid_3(A, B, C)=k28_sin_cos)  &  ( ~ (k4_euclid_3(B, C, A)=k28_sin_cos)  &  ~ (k4_euclid_3(C, A, B)=k28_sin_cos) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  ( (k4_euclid_3(A, B, C)=k4_euclid_3(D, E, F) & k4_euclid_3(C, A, B)=k4_euclid_3(F, D, E))  =>  (r1_rltopsp1(k15_euclid(2), A, B, C) |  (r1_rltopsp1(k15_euclid(2), D, E, F) |  (k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), C, B)), k12_euclid(k5_algstr_0(k15_euclid(2), D, F)))=k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), A, C)), k12_euclid(k5_algstr_0(k15_euclid(2), F, E))) &  (k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), C, B)), k12_euclid(k5_algstr_0(k15_euclid(2), E, D)))=k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), B, A)), k12_euclid(k5_algstr_0(k15_euclid(2), F, E))) & k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), A, C)), k12_euclid(k5_algstr_0(k15_euclid(2), E, D)))=k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), B, A)), k12_euclid(k5_algstr_0(k15_euclid(2), D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  ( (k4_euclid_3(A, B, C)=k4_euclid_3(D, E, F) & k4_euclid_3(C, A, B)=k4_euclid_3(E, F, D))  =>  (r1_rltopsp1(k15_euclid(2), A, B, C) |  (r1_rltopsp1(k15_euclid(2), D, E, F) |  (k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), B, C)), k12_euclid(k5_algstr_0(k15_euclid(2), D, F)))=k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), C, A)), k12_euclid(k5_algstr_0(k15_euclid(2), E, D))) &  (k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), B, C)), k12_euclid(k5_algstr_0(k15_euclid(2), F, E)))=k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), A, B)), k12_euclid(k5_algstr_0(k15_euclid(2), E, D))) & k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), C, A)), k12_euclid(k5_algstr_0(k15_euclid(2), F, E)))=k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), A, B)), k12_euclid(k5_algstr_0(k15_euclid(2), D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r1_zfmisc_1(A, B, C) & r1_xxreal_0(k4_euclid_3(A, B, C), k28_sin_cos))  =>  (r1_xxreal_0(k4_euclid_3(B, C, A), k28_sin_cos) & r1_xxreal_0(k4_euclid_3(C, A, B), k28_sin_cos)) ) ) ) ) ) ) ) ).
fof(t24_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r1_zfmisc_1(A, B, C) =>  (r1_xxreal_0(k4_euclid_3(A, B, C), k28_sin_cos) |  ( ~ (r1_xxreal_0(k4_euclid_3(B, C, A), k28_sin_cos))  &  ~ (r1_xxreal_0(k4_euclid_3(C, A, B), k28_sin_cos)) ) ) ) ) ) ) ) ) ) ).
fof(t25_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(D, k1_rltopsp1(k15_euclid(2), A, B)) & k4_euclid_3(A, C, B)=k4_euclid_3(D, C, B))  =>  (r1_rltopsp1(k15_euclid(2), A, B, C) | D=A) ) ) ) ) ) ) ) ) ) ).
fof(t26_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(D, k1_rltopsp1(k15_euclid(2), A, B)) & r1_xxreal_0(k4_euclid_3(A, C, B), k28_sin_cos))  =>  (r2_tarski(C, k1_rltopsp1(k15_euclid(2), A, B)) | r1_xxreal_0(k4_euclid_3(D, C, B), k4_euclid_3(A, C, B))) ) ) ) ) ) ) ) ) ) ).
fof(t27_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, k1_rltopsp1(k15_euclid(2), A, B)) =>  (r2_tarski(C, k1_rltopsp1(k15_euclid(2), A, B)) |  (r1_xxreal_0(k4_euclid_3(A, C, B), k28_sin_cos) |  (D=B | r1_xxreal_0(k4_euclid_3(A, C, B), k4_euclid_3(D, C, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(D, k1_rltopsp1(k15_euclid(2), A, B)) &  ( ~ (r2_tarski(C, k1_rltopsp1(k15_euclid(2), A, B)))  &  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(E, k1_rltopsp1(k15_euclid(2), A, B)) & k4_euclid_3(A, C, E)=k4_euclid_3(D, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_tarski(A, k6_jgraph_6(C, D, E)) &  (r2_tarski(B, k8_jgraph_6(C, D, E)) &  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  ~ (r2_tarski(F, k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), A, B), k5_jgraph_6(C, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ( (r2_tarski(A, k5_jgraph_6(E, F, G)) &  (r2_tarski(B, k5_jgraph_6(E, F, G)) &  (r2_tarski(C, k5_jgraph_6(E, F, G)) &  (r2_tarski(D, k1_rltopsp1(k15_euclid(2), A, B)) & r2_tarski(D, k1_rltopsp1(k15_euclid(2), A, C))) ) ) )  =>  (B=C | D=A) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( (r2_tarski(A, k5_jgraph_6(E, F, G)) &  (r2_tarski(B, k5_jgraph_6(E, F, G)) &  (r2_tarski(C, k5_jgraph_6(E, F, G)) &  (D=k19_euclid(E, F) &  (r2_tarski(D, k1_rltopsp1(k15_euclid(2), C, B)) &  ( ~ (A=C)  &  ( ~ (k3_xcmplx_0(2, k4_euclid_3(A, C, B))=k4_euclid_3(A, D, B))  &  ~ (k3_xcmplx_0(2, k6_xcmplx_0(k4_euclid_3(A, C, B), k28_sin_cos))=k4_euclid_3(A, D, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( (r2_tarski(A, k5_jgraph_6(B, C, D)) &  ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (A=E)  &  (r2_tarski(E, k5_jgraph_6(B, C, D)) & r2_tarski(k19_euclid(B, C), k1_rltopsp1(k15_euclid(2), A, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( (r2_tarski(A, k5_jgraph_6(E, F, G)) &  (r2_tarski(B, k5_jgraph_6(E, F, G)) &  (r2_tarski(C, k5_jgraph_6(E, F, G)) &  (D=k19_euclid(E, F) &  ( ~ (A=C)  &  ( ~ (B=C)  &  ( ~ (k3_xcmplx_0(2, k4_euclid_3(A, C, B))=k4_euclid_3(A, D, B))  &  ~ (k3_xcmplx_0(2, k6_xcmplx_0(k4_euclid_3(A, C, B), k28_sin_cos))=k4_euclid_3(A, D, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( (r2_tarski(A, k5_jgraph_6(E, F, G)) &  (r2_tarski(B, k5_jgraph_6(E, F, G)) &  (r2_tarski(C, k5_jgraph_6(E, F, G)) &  (r2_tarski(D, k5_jgraph_6(E, F, G)) &  ( ~ (A=C)  &  ( ~ (A=D)  &  ( ~ (B=C)  &  ( ~ (B=D)  &  ( ~ (k4_euclid_3(A, C, B)=k4_euclid_3(A, D, B))  &  ( ~ (k4_euclid_3(A, C, B)=k6_xcmplx_0(k4_euclid_3(A, D, B), k28_sin_cos))  &  ~ (k4_euclid_3(A, C, B)=k2_xcmplx_0(k4_euclid_3(A, D, B), k28_sin_cos)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( (r2_tarski(A, k5_jgraph_6(D, E, F)) &  (r2_tarski(B, k5_jgraph_6(D, E, F)) &  (r2_tarski(C, k5_jgraph_6(D, E, F)) &  ( ~ (A=B)  &  ( ~ (B=C)  & k4_euclid_3(A, B, C)=k28_sin_cos) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (r2_tarski(A, k5_jgraph_6(F, G, H)) &  (r2_tarski(B, k5_jgraph_6(F, G, H)) &  (r2_tarski(C, k5_jgraph_6(F, G, H)) &  (r2_tarski(D, k5_jgraph_6(F, G, H)) &  (r2_tarski(E, k1_rltopsp1(k15_euclid(2), A, C)) &  (r2_tarski(E, k1_rltopsp1(k15_euclid(2), B, D)) & r2_zfmisc_1(A, B, C, D)) ) ) ) ) )  => k4_euclid_3(A, D, B)=k4_euclid_3(A, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (r2_tarski(A, k5_jgraph_6(D, E, F)) &  (r2_tarski(B, k5_jgraph_6(D, E, F)) &  (r2_tarski(C, k5_jgraph_6(D, E, F)) & k4_euclid_3(A, B, C)=k5_numbers) ) )  =>  (A=B |  (B=C | A=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (r2_tarski(A, k5_jgraph_6(F, G, H)) &  (r2_tarski(B, k5_jgraph_6(F, G, H)) &  (r2_tarski(C, k5_jgraph_6(F, G, H)) &  (r2_tarski(D, k5_jgraph_6(F, G, H)) &  (r2_tarski(E, k1_rltopsp1(k15_euclid(2), A, C)) & r2_tarski(E, k1_rltopsp1(k15_euclid(2), B, D))) ) ) ) )  => k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), A, E)), k12_euclid(k5_algstr_0(k15_euclid(2), E, C)))=k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), B, E)), k12_euclid(k5_algstr_0(k15_euclid(2), E, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ( (D=k12_euclid(k5_algstr_0(k15_euclid(2), B, A)) &  (E=k12_euclid(k5_algstr_0(k15_euclid(2), C, B)) &  (F=k12_euclid(k5_algstr_0(k15_euclid(2), A, C)) & G=k7_xcmplx_0(k2_euclid_6(A, B, C), 2)) ) )  => k9_complex1(k1_euclid_6(A, B, C))=k3_square_1(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(G, k6_xcmplx_0(G, D)), k6_xcmplx_0(G, E)), k6_xcmplx_0(G, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (r2_tarski(A, k5_jgraph_6(F, G, H)) &  (r2_tarski(B, k5_jgraph_6(F, G, H)) &  (r2_tarski(C, k5_jgraph_6(F, G, H)) &  (r2_tarski(D, k5_jgraph_6(F, G, H)) &  (r2_tarski(E, k1_rltopsp1(k15_euclid(2), A, C)) & r2_tarski(E, k1_rltopsp1(k15_euclid(2), B, D))) ) ) ) )  => k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), C, A)), k12_euclid(k5_algstr_0(k15_euclid(2), D, B)))=k2_xcmplx_0(k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), B, A)), k12_euclid(k5_algstr_0(k15_euclid(2), D, C))), k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2), C, B)), k12_euclid(k5_algstr_0(k15_euclid(2), D, A))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (k17_euclid(k5_algstr_0(k15_euclid(2), A, B))=k6_xcmplx_0(k17_euclid(A), k17_euclid(B)) & k18_euclid(k5_algstr_0(k15_euclid(2), A, B))=k6_xcmplx_0(k18_euclid(A), k18_euclid(B))) ) ) ) ) ).
fof(t42_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (k12_euclid(k5_algstr_0(k15_euclid(2), A, B))=k5_numbers <=> A=B) ) ) ) ) ).
fof(t43_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => k12_euclid(k5_algstr_0(k15_euclid(2), A, B))=k12_euclid(k5_algstr_0(k15_euclid(2), B, A))) ) ) ) ).
fof(t44_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  ~ (k4_euclid_3(A, B, C)=k2_xcmplx_0(k3_xcmplx_0(2, k4_euclid_3(D, E, F)), k3_xcmplx_0(2, k28_sin_cos))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  ~ (k4_euclid_3(A, B, C)=k2_xcmplx_0(k3_xcmplx_0(2, k4_euclid_3(D, E, F)), k3_xcmplx_0(4, k28_sin_cos))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  ~ (k4_euclid_3(A, B, C)=k6_xcmplx_0(k3_xcmplx_0(2, k4_euclid_3(D, E, F)), k3_xcmplx_0(4, k28_sin_cos))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  ~ (k4_euclid_3(A, B, C)=k6_xcmplx_0(k3_xcmplx_0(2, k4_euclid_3(D, E, F)), k3_xcmplx_0(6, k28_sin_cos))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, k2_numbers) =>  (! [E] :  (m1_subset_1(E, k2_numbers) =>  ( (D=k2_euclid_3(k5_algstr_0(k15_euclid(2), A, B)) & E=k2_euclid_3(k5_algstr_0(k15_euclid(2), C, B)))  => k4_euclid_3(A, B, C)=k3_complex2(D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, k2_numbers) =>  (! [B] :  (m1_subset_1(B, k2_numbers) =>  (! [C] :  (m1_subset_1(C, k2_numbers) =>  (k2_xcmplx_0(k3_complex2(A, B), k3_complex2(B, C))=k3_complex2(A, C) | k2_xcmplx_0(k3_complex2(A, B), k3_complex2(B, C))=k2_xcmplx_0(k3_complex2(A, C), k3_xcmplx_0(2, k28_sin_cos))) ) ) ) ) ) ) ).
fof(t50_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, k2_numbers) =>  (! [E] :  (m1_subset_1(E, k2_numbers) =>  ( (D=k2_euclid_3(k5_algstr_0(k15_euclid(2), A, B)) & E=k2_euclid_3(k5_algstr_0(k15_euclid(2), C, B)))  =>  (k3_complex1(k1_complex2(D, E))=k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(k17_euclid(A), k17_euclid(B)), k6_xcmplx_0(k17_euclid(C), k17_euclid(B))), k3_xcmplx_0(k6_xcmplx_0(k18_euclid(A), k18_euclid(B)), k6_xcmplx_0(k18_euclid(C), k18_euclid(B)))) &  (k4_complex1(k1_complex2(D, E))=k2_xcmplx_0(k4_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(k17_euclid(A), k17_euclid(B)), k6_xcmplx_0(k18_euclid(C), k18_euclid(B)))), k3_xcmplx_0(k6_xcmplx_0(k18_euclid(A), k18_euclid(B)), k6_xcmplx_0(k17_euclid(C), k17_euclid(B)))) &  (k9_complex1(D)=k3_square_1(k2_xcmplx_0(k1_square_1(k6_xcmplx_0(k17_euclid(A), k17_euclid(B))), k1_square_1(k6_xcmplx_0(k18_euclid(A), k18_euclid(B))))) & k12_euclid(k5_algstr_0(k15_euclid(2), A, B))=k9_complex1(D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k15_euclid(A)), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k3_topmetr))))) )  =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) => k1_funct_1(C, D)=k12_euclid(k5_algstr_0(k15_euclid(A), D, B))) )  => v5_pre_topc(C, k15_euclid(A), k3_topmetr)) ) ) ) ) ) ) ).
fof(t52_euclid_6, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k15_euclid(A)), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k3_topmetr))))) )  &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) => k1_funct_1(C, D)=k12_euclid(k5_algstr_0(k15_euclid(A), D, B))) )  & v5_pre_topc(C, k15_euclid(A), k3_topmetr)) ) ) ) ) ) ) ).
fof(dt_k1_euclid_6, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, u1_struct_0(k15_euclid(2))) &  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) & m1_subset_1(C, u1_struct_0(k15_euclid(2)))) )  => v1_xreal_0(k1_euclid_6(A, B, C))) ) ).
fof(dt_k2_euclid_6, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, u1_struct_0(k15_euclid(2))) &  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) & m1_subset_1(C, u1_struct_0(k15_euclid(2)))) )  => v1_xreal_0(k2_euclid_6(A, B, C))) ) ).
fof(fc1_euclid_7, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  =>  (v1_relat_1(k13_funct_3(A, B)) &  (v1_funct_1(k13_funct_3(A, B)) & v1_finseq_1(k13_funct_3(A, B))) ) ) ) ).
fof(cc1_euclid_7, axiom,  (! [A] :  (v1_xboole_0(A) => v1_euclid_7(A)) ) ).
fof(cc2_euclid_7, axiom,  (! [A] :  (v1_xboole_0(A) => v2_euclid_7(A)) ) ).
fof(rc1_euclid_7, axiom,  (? [A] : v2_euclid_7(A)) ).
fof(fc2_euclid_7, axiom,  (! [A, B] :  ( (v2_euclid_7(A) & v2_euclid_7(B))  => v2_euclid_7(k2_xboole_0(A, B))) ) ).
fof(cc3_euclid_7, axiom,  (! [A] :  (v3_euclid_7(A) =>  (v1_euclid_7(A) & v2_euclid_7(A)) ) ) ).
fof(cc4_euclid_7, axiom,  (! [A] :  ( (v1_euclid_7(A) & v2_euclid_7(A))  => v3_euclid_7(A)) ) ).
fof(fc3_euclid_7, axiom, v3_euclid_7(k1_tarski(k12_finseq_1(k4_ordinal1, 1)))).
fof(rc2_euclid_7, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v3_euclid_7(A)) ) ).
fof(rc3_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) &  (v4_funct_1(B) &  (v3_finseq_1(B) & v3_euclid_7(B)) ) ) ) ) ) ).
fof(cc5_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) =>  (v5_euclid_7(B, A) =>  (v3_euclid_7(B) & v4_euclid_7(B, A)) ) ) ) ) ) ).
fof(cc6_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) =>  ( (v3_euclid_7(B) & v4_euclid_7(B, A))  => v5_euclid_7(B, A)) ) ) ) ) ).
fof(fc4_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) => v6_euclid_7(k2_subset_1(k1_euclid(A)), A)) ) ).
fof(fc5_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) => v6_euclid_7(k1_tarski(k5_euclid(A)), A)) ) ).
fof(fc6_euclid_7, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))))  => v6_euclid_7(k3_euclid_7(A, B), A)) ) ).
fof(fc7_euclid_7, axiom, v1_xboole_0(k8_euclid_7(k5_numbers))).
fof(fc8_euclid_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ~ (v1_xboole_0(k8_euclid_7(A))) ) ) ).
fof(fc9_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) => v5_euclid_7(k8_euclid_7(A), A)) ) ).
fof(rc4_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) &  (v4_funct_1(B) &  (v3_finseq_1(B) & v5_euclid_7(B, A)) ) ) ) ) ) ).
fof(cc7_euclid_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) =>  (v5_euclid_7(B, A) =>  ( ~ (v1_xboole_0(B))  & v5_euclid_7(B, A)) ) ) ) ) ) ).
fof(fc10_euclid_7, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ( ~ (v2_struct_0(k7_real_ns1(A)))  &  (v2_monoid_0(k7_real_ns1(A)) & v1_bhsp_1(k7_real_ns1(A))) ) ) ) ).
fof(cc8_euclid_7, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k7_real_ns1(A))) => v3_valued_0(B)) ) ) ) ).
fof(ie1_euclid_7, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(A, k4_ordinal1) &  (m1_subset_1(B, u1_struct_0(k7_real_ns1(A))) &  (m1_subset_1(C, u1_struct_0(k7_real_ns1(A))) &  ( (v1_relat_1(D) &  (v1_funct_1(D) & v3_valued_0(D)) )  &  (v1_relat_1(E) &  (v1_funct_1(E) & v3_valued_0(E)) ) ) ) ) )  =>  ( (B=D & C=E)  => k3_rlvect_1(k7_real_ns1(A), B, C)=k1_valued_1(D, E)) ) ) ).
fof(ie2_euclid_7, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(A, k4_ordinal1) &  (m1_subset_1(B, u1_struct_0(k7_real_ns1(A))) &  ( (v1_relat_1(C) &  (v1_funct_1(C) & v3_valued_0(C)) )  &  (m1_subset_1(D, k1_numbers) & m1_subset_1(E, k1_numbers)) ) ) )  =>  ( (B=C & D=E)  => k1_rlvect_1(k7_real_ns1(A), B, D)=k24_valued_1(C, E)) ) ) ).
fof(ie3_euclid_7, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k4_ordinal1) &  (m1_subset_1(B, u1_struct_0(k7_real_ns1(A))) &  (v1_relat_1(C) &  (v1_funct_1(C) & v3_valued_0(C)) ) ) )  =>  (B=C => k4_algstr_0(k7_real_ns1(A), B)=k30_valued_1(C)) ) ) ).
fof(ie4_euclid_7, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(A, k4_ordinal1) &  (m1_subset_1(B, u1_struct_0(k7_real_ns1(A))) &  (m1_subset_1(C, u1_struct_0(k7_real_ns1(A))) &  ( (v1_relat_1(D) &  (v1_funct_1(D) & v3_valued_0(D)) )  &  (v1_relat_1(E) &  (v1_funct_1(E) & v3_valued_0(E)) ) ) ) ) )  =>  ( (B=D & C=E)  => k5_algstr_0(k7_real_ns1(A), B, C)=k45_valued_1(D, E)) ) ) ).
fof(fc11_euclid_7, axiom,  (! [A] :  ( ~ (v2_struct_0(k10_funcsdom(A)))  &  (v13_algstr_0(k10_funcsdom(A)) &  (v1_monoid_0(k10_funcsdom(A)) &  (v1_rlvect_1(k10_funcsdom(A)) &  (v2_rlvect_1(k10_funcsdom(A)) &  (v3_rlvect_1(k10_funcsdom(A)) &  (v4_rlvect_1(k10_funcsdom(A)) &  (v5_rlvect_1(k10_funcsdom(A)) &  (v6_rlvect_1(k10_funcsdom(A)) &  (v7_rlvect_1(k10_funcsdom(A)) & v8_rlvect_1(k10_funcsdom(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(fc12_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (v2_struct_0(k10_funcsdom(k2_finseq_1(A))))  &  (v13_algstr_0(k10_funcsdom(k2_finseq_1(A))) &  (v2_monoid_0(k10_funcsdom(k2_finseq_1(A))) &  (v1_rlvect_1(k10_funcsdom(k2_finseq_1(A))) &  (v2_rlvect_1(k10_funcsdom(k2_finseq_1(A))) &  (v3_rlvect_1(k10_funcsdom(k2_finseq_1(A))) &  (v4_rlvect_1(k10_funcsdom(k2_finseq_1(A))) &  (v5_rlvect_1(k10_funcsdom(k2_finseq_1(A))) &  (v6_rlvect_1(k10_funcsdom(k2_finseq_1(A))) &  (v7_rlvect_1(k10_funcsdom(k2_finseq_1(A))) & v8_rlvect_1(k10_funcsdom(k2_finseq_1(A)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc9_euclid_7, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k10_funcsdom(A))) => v3_valued_0(B)) ) ) ).
fof(ie5_euclid_7, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(B, u1_struct_0(k10_funcsdom(A))) &  (m1_subset_1(C, u1_struct_0(k10_funcsdom(A))) &  ( (v1_relat_1(D) &  (v1_funct_1(D) & v3_valued_0(D)) )  &  (v1_relat_1(E) &  (v1_funct_1(E) & v3_valued_0(E)) ) ) ) )  =>  ( (B=D & C=E)  => k3_rlvect_1(k10_funcsdom(A), B, C)=k1_valued_1(D, E)) ) ) ).
fof(ie6_euclid_7, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(B, u1_struct_0(k10_funcsdom(A))) &  ( (v1_relat_1(C) &  (v1_funct_1(C) & v3_valued_0(C)) )  &  (m1_subset_1(D, k1_numbers) & m1_subset_1(E, k1_numbers)) ) )  =>  ( (B=C & D=E)  => k1_rlvect_1(k10_funcsdom(A), B, D)=k24_valued_1(C, E)) ) ) ).
fof(ie7_euclid_7, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, u1_struct_0(k10_funcsdom(A))) &  (v1_relat_1(C) &  (v1_funct_1(C) & v3_valued_0(C)) ) )  =>  (B=C => k4_algstr_0(k10_funcsdom(A), B)=k30_valued_1(C)) ) ) ).
fof(ie8_euclid_7, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(B, u1_struct_0(k10_funcsdom(A))) &  (m1_subset_1(C, u1_struct_0(k10_funcsdom(A))) &  ( (v1_relat_1(D) &  (v1_funct_1(D) & v3_valued_0(D)) )  &  (v1_relat_1(E) &  (v1_funct_1(E) & v3_valued_0(E)) ) ) ) )  =>  ( (B=D & C=E)  => k5_algstr_0(k10_funcsdom(A), B, C)=k45_valued_1(D, E)) ) ) ).
fof(cc10_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k10_funcsdom(k2_finseq_1(A))))) =>  (v3_euclid_7(B) => v1_rlvect_3(B, k10_funcsdom(k2_finseq_1(A)))) ) ) ) ) ).
fof(cc11_euclid_7, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k7_real_ns1(A)))) =>  (v3_euclid_7(B) => v1_rlvect_3(B, k7_real_ns1(A))) ) ) ) ) ).
fof(fc13_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) => v1_finset_1(k8_euclid_7(A))) ) ).
fof(fc14_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (v2_struct_0(k10_funcsdom(k2_finseq_1(A))))  &  (v13_algstr_0(k10_funcsdom(k2_finseq_1(A))) &  (v1_rlvect_1(k10_funcsdom(k2_finseq_1(A))) &  (v2_rlvect_1(k10_funcsdom(k2_finseq_1(A))) &  (v3_rlvect_1(k10_funcsdom(k2_finseq_1(A))) &  (v4_rlvect_1(k10_funcsdom(k2_finseq_1(A))) &  (v5_rlvect_1(k10_funcsdom(k2_finseq_1(A))) &  (v6_rlvect_1(k10_funcsdom(k2_finseq_1(A))) &  (v7_rlvect_1(k10_funcsdom(k2_finseq_1(A))) &  (v8_rlvect_1(k10_funcsdom(k2_finseq_1(A))) & v1_rlvect_5(k10_funcsdom(k2_finseq_1(A)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc15_euclid_7, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ( ~ (v2_struct_0(k7_real_ns1(A)))  &  (v1_bhsp_1(k7_real_ns1(A)) & v1_rusub_4(k7_real_ns1(A))) ) ) ) ).
fof(t2_euclid_7, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r1_tarski(k10_xtuple_0(A), B) => k8_relat_1(A, B)=k9_xtuple_0(A)) ) ) ) ).
fof(t3_euclid_7, axiom,  (! [A] : k3_relat_1(k12_finseq_1(k4_ordinal1, 1), k9_finseq_1(A))=k9_finseq_1(A)) ).
fof(t4_euclid_7, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(k5_numbers)) => A=k6_finseq_1(k1_numbers)) ) ).
fof(t5_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) => k7_euclid(A, k7_euclid(A, k8_euclid(A, B, C), D), C)=k7_euclid(A, B, D)) ) ) ) ) ) ) ) ).
fof(d1_euclid_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  =>  (v5_valued_0(A) <=>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(1, B) &  ( ~ (r1_xxreal_0(k3_finseq_1(A), B))  & r1_xxreal_0(k1_funct_1(A, k1_nat_1(B, 1)), k1_funct_1(A, B))) ) ) ) ) ) ) ) ).
fof(t6_euclid_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  =>  (v5_valued_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(C, B))  &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(C, k3_finseq_1(A)) & r1_xxreal_0(k1_funct_1(A, C), k1_funct_1(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_euclid_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  =>  (v5_valued_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(B, C) &  (r1_xxreal_0(1, B) & r1_xxreal_0(C, k3_finseq_1(A))) )  => r1_xxreal_0(k1_funct_1(A, B), k1_funct_1(A, C))) ) ) ) ) ) ) ) ).
fof(t8_euclid_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v4_valued_0(A)) ) )  =>  (v5_valued_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(B, k3_finseq_1(A)) & r1_xxreal_0(1, k1_funct_1(A, 1)))  => r1_xxreal_0(B, k1_funct_1(A, B))) ) ) ) ) ) ).
fof(t9_euclid_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  ( (v1_rlvect_1(A) &  (v1_rlvect_1(B) & u1_struct_0(B)=u1_struct_0(A)) )  => B=A) ) ) ) ) ).
fof(d2_euclid_7, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_1(B), k4_finseq_1(B)) &  (v3_funct_2(C, k4_finseq_1(B), k4_finseq_1(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(B), k4_finseq_1(B))))) ) )  => k2_euclid_7(A, B, C)=k1_partfun1(k4_finseq_1(B), k4_finseq_1(B), k4_ordinal1, A, C, B)) ) ) ) ) ).
fof(t10_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m2_finseq_1(D, C) =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, k3_finseq_1(D)) &  (r1_xxreal_0(1, B) & r1_xxreal_0(B, k3_finseq_1(D))) ) )  =>  (k1_funct_1(k2_finseq_7(C, D, A, B), A)=k1_funct_1(D, B) & k1_funct_1(k2_finseq_7(C, D, A, B), B)=k1_funct_1(D, A)) ) ) ) ) ) ) ) ) ) ).
fof(t11_euclid_7, axiom,  (v1_funct_1(k1_xboole_0) &  (v1_funct_2(k1_xboole_0, k1_xboole_0, k1_xboole_0) &  (v3_funct_2(k1_xboole_0, k1_xboole_0, k1_xboole_0) & m1_subset_1(k1_xboole_0, k1_zfmisc_1(k2_zfmisc_1(k1_xboole_0, k1_xboole_0)))) ) ) ).
fof(t12_euclid_7, axiom,  (v1_funct_1(k12_finseq_1(k4_ordinal1, 1)) &  (v1_funct_2(k12_finseq_1(k4_ordinal1, 1), k6_domain_1(k4_ordinal1, 1), k6_domain_1(k4_ordinal1, 1)) &  (v3_funct_2(k12_finseq_1(k4_ordinal1, 1), k6_domain_1(k4_ordinal1, 1), k6_domain_1(k4_ordinal1, 1)) & m1_subset_1(k12_finseq_1(k4_ordinal1, 1), k1_zfmisc_1(k2_zfmisc_1(k6_domain_1(k4_ordinal1, 1), k6_domain_1(k4_ordinal1, 1))))) ) ) ).
fof(t13_euclid_7, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (v2_funct_1(A) <=> v2_funct_1(k6_rfinseq2(A))) ) ) ).
fof(t14_euclid_7, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  ~ ( (v2_funct_1(A) &  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_1(A), k4_finseq_1(A)) &  (v3_funct_2(B, k4_finseq_1(A), k4_finseq_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(A), k4_finseq_1(A))))) ) )  =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  ~ ( (C=k1_partfun1(k4_finseq_1(A), k4_finseq_1(A), k4_ordinal1, k4_ordinal1, B, A) &  (v5_valued_0(C) &  (k4_finseq_1(A)=k4_finseq_1(C) & k2_relset_1(k4_ordinal1, A)=k2_relset_1(k4_ordinal1, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_euclid_7, axiom,  (! [A] :  (v1_euclid_7(A) <=>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v3_valued_0(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) & v3_valued_0(C)) ) )  =>  ( (r2_tarski(B, A) & r2_tarski(C, A))  =>  (B=C | k22_rvsum_1(B, C)=k5_numbers) ) ) ) ) ) ) ) ).
fof(t15_euclid_7, axiom,  (! [A] :  (v1_euclid_7(A) <=>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v3_valued_0(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) & v3_valued_0(C)) ) )  =>  ( (r2_tarski(B, A) & r2_tarski(C, A))  =>  (B=C | r1_rvsum_1(B, C)) ) ) ) ) ) ) ) ).
fof(d4_euclid_7, axiom,  (! [A] :  (v2_euclid_7(A) <=>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v3_valued_0(B)) ) )  =>  (r2_tarski(B, A) => k12_euclid(B)=1) ) ) ) ) ).
fof(t16_euclid_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  =>  (k12_euclid(A)=1 => v2_euclid_7(k1_tarski(A))) ) ) ).
fof(t17_euclid_7, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v3_valued_0(B)) ) )  =>  ( (v2_euclid_7(A) & k12_euclid(B)=1)  => v2_euclid_7(k2_xboole_0(A, k1_tarski(B)))) ) ) ) ).
fof(d5_euclid_7, axiom,  (! [A] :  (v3_euclid_7(A) <=>  (v1_euclid_7(A) & v2_euclid_7(A)) ) ) ).
fof(d6_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) =>  (v4_euclid_7(B, A) <=>  (! [C] :  ( (v3_euclid_7(C) & m1_subset_1(C, k1_zfmisc_1(k1_euclid(A))))  =>  (r1_tarski(B, C) => C=B) ) ) ) ) ) ) ) ).
fof(d7_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) =>  (v5_euclid_7(B, A) <=>  (v3_euclid_7(B) & v4_euclid_7(B, A)) ) ) ) ) ) ).
fof(t18_euclid_7, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_euclid(k5_numbers))) =>  (v5_euclid_7(A, k5_numbers) => A=k1_xboole_0) ) ) ).
fof(t19_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  ( (v5_euclid_7(B, A) &  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (r2_tarski(D, B) => k22_rvsum_1(D, C)=k5_numbers) ) ) )  => C=k5_euclid(A)) ) ) ) ) ) ) ).
fof(d8_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) =>  (v6_euclid_7(B, A) <=>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m1_subset_1(E, k1_numbers) =>  (! [F] :  (m1_subset_1(F, k1_numbers) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k7_euclid(A, k9_euclid(A, C, E), k9_euclid(A, D, F)), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) => v6_euclid_7(k6_domain_1(k1_euclid(A), k5_euclid(A)), A)) ) ).
fof(d10_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k1_euclid(A)) =>  (! [C] :  (m2_finseq_1(C, k1_euclid(A)) =>  (C=k4_euclid_7(A, B) <=>  (k3_finseq_1(B)=k3_finseq_1(C) &  (k1_funct_1(B, 1)=k1_funct_1(C, 1) &  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(1, D) =>  (r1_xxreal_0(k3_finseq_1(B), D) | k1_funct_1(C, k1_nat_1(D, 1))=k7_euclid(A, k7_partfun1(k1_euclid(A), C, D), k7_partfun1(k1_euclid(A), B, k1_nat_1(D, 1)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k1_euclid(A)) =>  ( ( ~ (r1_xxreal_0(k3_finseq_1(B), k5_numbers))  => k5_euclid_7(A, B)=k1_funct_1(k4_euclid_7(A, B), k3_finseq_1(B)))  &  (r1_xxreal_0(k3_finseq_1(B), k5_numbers) => k5_euclid_7(A, B)=k5_euclid(A)) ) ) ) ) ) ).
fof(t21_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k1_euclid(A)) =>  (! [C] :  (m2_finseq_1(C, k1_euclid(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_1(B), k4_finseq_1(B)) &  (v3_funct_2(D, k4_finseq_1(B), k4_finseq_1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(B), k4_finseq_1(B))))) ) )  =>  (C=k2_euclid_7(k1_euclid(A), B, D) => k5_euclid_7(A, C)=k5_euclid_7(A, B)) ) ) ) ) ) ) ) ) ).
fof(t22_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k5_euclid_7(A, k5_finseq_2(k1_euclid(A), B, k5_euclid(A)))=k5_euclid(A)) ) ) ) ).
fof(t23_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k1_euclid(A)) =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (! [D] :  (m2_finseq_1(D, k1_euclid(A)) =>  ( (v5_valued_0(C) &  (r1_tarski(k2_relset_1(k4_ordinal1, C), k4_finseq_1(B)) &  (r2_relset_1(k4_ordinal1, k1_euclid(A), D, k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k1_euclid(A), C, B)) &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r2_tarski(E, k4_finseq_1(B)) =>  (r2_tarski(E, k2_relset_1(k4_ordinal1, C)) | k1_funct_1(B, E)=k5_euclid(A)) ) ) ) ) ) )  => k5_euclid_7(A, B)=k5_euclid_7(A, D)) ) ) ) ) ) ) ) ) ).
fof(t24_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k1_euclid(A)) =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (! [D] :  (m2_finseq_1(D, k1_euclid(A)) =>  ( (v2_funct_1(C) &  (r1_tarski(k2_relset_1(k4_ordinal1, C), k4_finseq_1(B)) &  (r2_relset_1(k4_ordinal1, k1_euclid(A), D, k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k1_euclid(A), C, B)) &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r2_tarski(E, k4_finseq_1(B)) =>  (r2_tarski(E, k2_relset_1(k4_ordinal1, C)) | k1_funct_1(B, E)=k5_euclid(A)) ) ) ) ) ) )  => k5_euclid_7(A, B)=k5_euclid_7(A, D)) ) ) ) ) ) ) ) ) ).
fof(t25_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, A) & k6_euclid_7(A, B)=k6_euclid_7(A, C)) )  => B=C) ) ) ) ) ) ) ).
fof(t26_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k11_euclid(B, k6_euclid_7(B, A))=k6_euclid_7(B, A)) ) ) ) ).
fof(t27_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, B))  => k18_rvsum_1(k6_euclid_7(B, A))=1) ) ) ) ) ).
fof(t28_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, B))  => k12_euclid(k6_euclid_7(B, A))=1) ) ) ) ) ).
fof(t29_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, C))  =>  (A=B | k22_rvsum_1(k6_euclid_7(C, A), k6_euclid_7(C, B))=k5_numbers) ) ) ) ) ) ) ) ).
fof(t30_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(B)) =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, B))  => k22_rvsum_1(C, k6_euclid_7(B, A))=k1_funct_1(C, A)) ) ) ) ) ) ) ).
fof(d12_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_1(C, k1_euclid(A)) =>  (C=k7_euclid_7(A, B) <=>  (k3_finseq_1(C)=A &  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, A))  => k1_funct_1(C, D)=k9_euclid(A, k6_euclid_7(A, D), k22_rvsum_1(B, k6_euclid_7(A, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) => B=k5_euclid_7(A, k7_euclid_7(A, B))) ) ) ) ).
fof(t32_euclid_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ~ (k8_euclid_7(A)=k1_xboole_0) ) ) ).
fof(t33_euclid_7, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k7_real_ns1(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k7_real_ns1(A)))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k7_real_ns1(A))) =>  (! [F] :  (m2_rlvect_2(F, k7_real_ns1(A), D) =>  ( (v2_funct_1(C) &  (v1_euclid_7(D) &  (k2_relset_1(u1_struct_0(k7_real_ns1(A)), C)=k3_rlvect_2(k7_real_ns1(A), F) &  (r2_tarski(E, D) &  (r2_tarski(B, k4_finseq_1(k5_rlvect_2(k7_real_ns1(A), C, F))) & E=k1_funct_1(C, B)) ) ) ) )  => k1_binop_1(k6_real_ns1(A), E, k4_rlvect_1(k7_real_ns1(A), k5_rlvect_2(k7_real_ns1(A), C, F)))=k1_binop_1(k6_real_ns1(A), E, k1_rlvect_1(k7_real_ns1(A), E, k3_funct_2(u1_struct_0(k7_real_ns1(A)), k1_numbers, F, k7_partfun1(u1_struct_0(k7_real_ns1(A)), C, B))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_euclid_7, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m2_finseq_1(B, k1_euclid(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k7_real_ns1(A))) =>  (B=C => k5_euclid_7(A, B)=k4_rlvect_1(k7_real_ns1(A), C)) ) ) ) ) ) ) ).
fof(t35_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_rlsub_1(B, k10_funcsdom(k2_finseq_1(A))) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (r2_tarski(C, u1_struct_0(B)) => r2_tarski(k9_euclid(A, C, D), u1_struct_0(B))) ) ) ) ) ) ) ) ) ).
fof(t36_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_rlsub_1(B, k10_funcsdom(k2_finseq_1(A))) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  ( (r2_tarski(C, u1_struct_0(B)) & r2_tarski(D, u1_struct_0(B)))  => r2_tarski(k7_euclid(A, C, D), u1_struct_0(B))) ) ) ) ) ) ) ) ) ).
fof(t37_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_rlsub_1(B, k10_funcsdom(k2_finseq_1(A))) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (r2_tarski(C, u1_struct_0(B)) & r2_tarski(D, u1_struct_0(B)))  => r2_tarski(k7_euclid(A, k9_euclid(A, C, E), k9_euclid(A, D, F)), u1_struct_0(B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) => k2_binop_1(k1_euclid(A), k1_euclid(A), k1_numbers, k6_real_ns1(A), B, C)=k22_rvsum_1(B, C)) ) ) ) ) ) ).
fof(t39_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k10_funcsdom(k2_finseq_1(B)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k10_funcsdom(k2_finseq_1(B))))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k10_funcsdom(k2_finseq_1(B)))) =>  (! [F] :  (m2_rlvect_2(F, k10_funcsdom(k2_finseq_1(B)), D) =>  ( (v2_funct_1(C) &  (v1_euclid_7(D) &  (k2_relset_1(u1_struct_0(k10_funcsdom(k2_finseq_1(B))), C)=k3_rlvect_2(k10_funcsdom(k2_finseq_1(B)), F) &  (r2_tarski(E, D) &  (r2_tarski(A, k4_finseq_1(k5_rlvect_2(k10_funcsdom(k2_finseq_1(B)), C, F))) & E=k1_funct_1(C, A)) ) ) ) )  => k1_binop_1(k6_real_ns1(B), E, k4_rlvect_1(k10_funcsdom(k2_finseq_1(B)), k5_rlvect_2(k10_funcsdom(k2_finseq_1(B)), C, F)))=k1_binop_1(k6_real_ns1(B), E, k1_rlvect_1(k10_funcsdom(k2_finseq_1(B)), E, k3_funct_2(u1_struct_0(k10_funcsdom(k2_finseq_1(B))), k1_numbers, F, k7_partfun1(u1_struct_0(k10_funcsdom(k2_finseq_1(B))), C, A))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k10_funcsdom(k2_finseq_1(A))))) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (v1_xreal_0(E) =>  ( (v1_rlvect_3(B, k10_funcsdom(k2_finseq_1(A))) &  (r2_tarski(C, B) &  (r2_tarski(D, B) & D=k9_euclid(A, C, E)) ) )  => C=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) => k4_card_1(k8_euclid_7(A))=A) ) ).
fof(t42_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k1_euclid(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k10_funcsdom(k2_finseq_1(A)))) =>  (B=C => k5_euclid_7(A, B)=k4_rlvect_1(k10_funcsdom(k2_finseq_1(A)), C)) ) ) ) ) ) ) ).
fof(t43_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k10_funcsdom(k2_finseq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k10_funcsdom(k2_finseq_1(A))))) =>  ~ ( (C=k8_euclid_7(A) &  (! [D] :  (m2_rlvect_2(D, k10_funcsdom(k2_finseq_1(A)), C) =>  ~ (B=k6_rlvect_2(k10_funcsdom(k2_finseq_1(A)), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_euclid_7, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k7_real_ns1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k7_real_ns1(A)))) =>  ~ ( (C=k8_euclid_7(A) &  (! [D] :  (m2_rlvect_2(D, k7_real_ns1(A), C) =>  ~ (B=k6_rlvect_2(k7_real_ns1(A), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k10_funcsdom(k2_finseq_1(A))))) =>  (B=k8_euclid_7(A) => m1_rlvect_3(B, k10_funcsdom(k2_finseq_1(A)))) ) ) ) ) ).
fof(t46_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) => k1_rlvect_5(k10_funcsdom(k2_finseq_1(A)))=A) ) ).
fof(t47_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k10_funcsdom(k2_finseq_1(A))))) =>  (m1_rlvect_3(B, k10_funcsdom(k2_finseq_1(A))) => k1_card_1(B)=A) ) ) ) ) ).
fof(t48_euclid_7, axiom, m1_rlvect_3(k1_xboole_0, k10_funcsdom(k2_finseq_1(k5_numbers)))).
fof(t49_euclid_7, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => m1_rusub_3(k8_euclid_7(A), k7_real_ns1(A))) ) ).
fof(t50_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v5_euclid_7(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))))  => m1_rlvect_3(B, k10_funcsdom(k2_finseq_1(A)))) ) ) ) ).
fof(t51_euclid_7, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => k1_rusub_4(k7_real_ns1(A))=A) ) ).
fof(t52_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v5_euclid_7(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))))  => k1_card_1(B)=A) ) ) ) ).
fof(dt_k1_euclid_7, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, A) & m1_finseq_1(C, A))  => m2_finseq_1(k1_euclid_7(A, B, C), k2_zfmisc_1(A, A))) ) ).
fof(redefinition_k1_euclid_7, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, A) & m1_finseq_1(C, A))  => k1_euclid_7(A, B, C)=k13_funct_3(B, C)) ) ).
fof(dt_k2_euclid_7, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, A) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_1(B), k4_finseq_1(B)) &  (v3_funct_2(C, k4_finseq_1(B), k4_finseq_1(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(B), k4_finseq_1(B))))) ) ) )  => m2_finseq_1(k2_euclid_7(A, B, C), A)) ) ).
fof(dt_k3_euclid_7, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))))  => m1_subset_1(k3_euclid_7(A, B), k1_zfmisc_1(k1_euclid(A)))) ) ).
fof(dt_k4_euclid_7, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_finseq_1(B, k1_euclid(A)))  => m2_finseq_1(k4_euclid_7(A, B), k1_euclid(A))) ) ).
fof(dt_k5_euclid_7, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_finseq_1(B, k1_euclid(A)))  => m2_finseq_2(k5_euclid_7(A, B), k1_numbers, k1_euclid(A))) ) ).
fof(dt_k6_euclid_7, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => m2_finseq_2(k6_euclid_7(A, B), k1_numbers, k1_euclid(A))) ) ).
fof(redefinition_k6_euclid_7, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => k6_euclid_7(A, B)=k6_matrixr2(A, B)) ) ).
fof(dt_k7_euclid_7, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k1_euclid(A)))  => m2_finseq_1(k7_euclid_7(A, B), k1_euclid(A))) ) ).
fof(dt_k8_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k8_euclid_7(A), k1_zfmisc_1(k1_euclid(A)))) ) ).
fof(d9_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) => k3_euclid_7(A, B)=k1_setfam_1(a_2_0_euclid_7(A, B))) ) ) ) ).
fof(d13_euclid_7, axiom,  (! [A] :  (v7_ordinal1(A) => k8_euclid_7(A)=a_1_0_euclid_7(A)) ) ).
fof(fraenkel_a_2_0_euclid_7, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) & m1_subset_1(C, k1_zfmisc_1(k1_euclid(B))))  =>  (r2_hidden(A, a_2_0_euclid_7(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_euclid(B))) &  (A=D &  (v6_euclid_7(D, B) & r1_tarski(C, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_euclid_7, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_0_euclid_7(B)) <=>  (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (A=k6_euclid_7(B, C) &  (r1_xxreal_0(1, C) & r1_xxreal_0(C, B)) ) ) ) ) ) ) ).
fof(t1_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) => A=k1_euclid_8(k1_funct_1(A, 1), k1_funct_1(A, 2), k1_funct_1(A, 3))) ) ).
fof(t2_euclid_8, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (k3_finseq_1(A)=3 => m2_finseq_2(A, k1_numbers, k1_euclid(3))) ) ) ).
fof(d1_euclid_8, axiom, k2_euclid_8=k1_euclid_8(1, k5_numbers, k5_numbers)).
fof(d2_euclid_8, axiom, k3_euclid_8=k1_euclid_8(k5_numbers, 1, k5_numbers)).
fof(d3_euclid_8, axiom, k4_euclid_8=k1_euclid_8(k5_numbers, k5_numbers, 1)).
fof(d4_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) => k5_euclid_8(A, B)=k1_euclid_8(k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(A, 2), k1_funct_1(B, 3)), k3_xcmplx_0(k1_funct_1(A, 3), k1_funct_1(B, 2))), k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(A, 3), k1_funct_1(B, 1)), k3_xcmplx_0(k1_funct_1(A, 1), k1_funct_1(B, 3))), k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(A, 1), k1_funct_1(B, 2)), k3_xcmplx_0(k1_funct_1(A, 2), k1_funct_1(B, 1))))) ) ) ) ).
fof(t3_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  ( ~ (r3_euclidlp(3, A, B))  => k5_euclid_8(A, B)=k16_euclid(3)) ) ) ) ) ).
fof(t4_euclid_8, axiom, k12_euclid(k2_euclid_8)=1).
fof(t5_euclid_8, axiom, k12_euclid(k3_euclid_8)=1).
fof(t6_euclid_8, axiom, k12_euclid(k4_euclid_8)=1).
fof(t7_euclid_8, axiom, r1_rvsum_1(k2_euclid_8, k3_euclid_8)).
fof(t8_euclid_8, axiom, r1_rvsum_1(k2_euclid_8, k4_euclid_8)).
fof(t9_euclid_8, axiom, r1_rvsum_1(k3_euclid_8, k4_euclid_8)).
fof(t10_euclid_8, axiom, k22_rvsum_1(k2_euclid_8, k2_euclid_8)=1).
fof(t11_euclid_8, axiom, k22_rvsum_1(k3_euclid_8, k3_euclid_8)=1).
fof(t12_euclid_8, axiom, k22_rvsum_1(k4_euclid_8, k4_euclid_8)=1).
fof(t13_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) => k22_rvsum_1(A, k1_euclid_8(k5_numbers, k5_numbers, k5_numbers))=k5_numbers) ) ).
fof(t16_euclid_8, axiom, k5_euclid_8(k2_euclid_8, k3_euclid_8)=k4_euclid_8).
fof(t17_euclid_8, axiom, k5_euclid_8(k3_euclid_8, k4_euclid_8)=k2_euclid_8).
fof(t18_euclid_8, axiom, k5_euclid_8(k4_euclid_8, k2_euclid_8)=k3_euclid_8).
fof(t19_euclid_8, axiom, k5_euclid_8(k4_euclid_8, k3_euclid_8)=k6_euclid(3, k2_euclid_8)).
fof(t20_euclid_8, axiom, k5_euclid_8(k2_euclid_8, k4_euclid_8)=k6_euclid(3, k3_euclid_8)).
fof(t21_euclid_8, axiom, k5_euclid_8(k3_euclid_8, k2_euclid_8)=k6_euclid(3, k4_euclid_8)).
fof(t22_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) => k5_euclid_8(A, k1_euclid_8(k5_numbers, k5_numbers, k5_numbers))=k1_euclid_8(k5_numbers, k5_numbers, k5_numbers)) ) ).
fof(t25_euclid_8, axiom,  (! [A] :  (v1_xreal_0(A) => k9_euclid(3, k2_euclid_8, A)=k1_euclid_8(A, k5_numbers, k5_numbers)) ) ).
fof(t26_euclid_8, axiom,  (! [A] :  (v1_xreal_0(A) => k9_euclid(3, k3_euclid_8, A)=k1_euclid_8(k5_numbers, A, k5_numbers)) ) ).
fof(t27_euclid_8, axiom,  (! [A] :  (v1_xreal_0(A) => k9_euclid(3, k4_euclid_8, A)=k1_euclid_8(k5_numbers, k5_numbers, A)) ) ).
fof(t28_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) => k9_euclid(3, A, 1)=A) ) ).
fof(t31_euclid_8, axiom, k6_euclid(3, k2_euclid_8)=k1_euclid_8(k4_xcmplx_0(1), k5_numbers, k5_numbers)).
fof(t32_euclid_8, axiom, k6_euclid(3, k3_euclid_8)=k1_euclid_8(k5_numbers, k4_xcmplx_0(1), k5_numbers)).
fof(t33_euclid_8, axiom, k6_euclid(3, k4_euclid_8)=k1_euclid_8(k5_numbers, k5_numbers, k4_xcmplx_0(1))).
fof(t34_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) => k9_euclid(3, A, k5_numbers)=k1_euclid_8(k5_numbers, k5_numbers, k5_numbers)) ) ).
fof(t37_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) => A=k7_euclid(3, k7_euclid(3, k9_euclid(3, k2_euclid_8, k1_funct_1(A, 1)), k9_euclid(3, k3_euclid_8, k1_funct_1(A, 2))), k9_euclid(3, k4_euclid_8, k1_funct_1(A, 3)))) ) ).
fof(t38_euclid_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) => k9_euclid(3, B, A)=k7_euclid(3, k7_euclid(3, k9_euclid(3, k2_euclid_8, k3_xcmplx_0(A, k1_funct_1(B, 1))), k9_euclid(3, k3_euclid_8, k3_xcmplx_0(A, k1_funct_1(B, 2)))), k9_euclid(3, k4_euclid_8, k3_xcmplx_0(A, k1_funct_1(B, 3))))) ) ) ) ).
fof(t39_euclid_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) => k1_euclid_8(A, B, C)=k7_euclid(3, k7_euclid(3, k9_euclid(3, k2_euclid_8, A), k9_euclid(3, k3_euclid_8, B)), k9_euclid(3, k4_euclid_8, C))) ) ) ) ) ) ).
fof(t40_euclid_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => k9_euclid(3, k1_euclid_8(B, C, D), A)=k7_euclid(3, k7_euclid(3, k9_euclid(3, k2_euclid_8, k3_xcmplx_0(A, B)), k9_euclid(3, k3_euclid_8, k3_xcmplx_0(A, C))), k9_euclid(3, k4_euclid_8, k3_xcmplx_0(A, D)))) ) ) ) ) ) ) ) ).
fof(t41_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) => k6_euclid(3, A)=k8_euclid(3, k8_euclid(3, k6_euclid(3, k9_euclid(3, k2_euclid_8, k1_funct_1(A, 1))), k9_euclid(3, k3_euclid_8, k1_funct_1(A, 2))), k9_euclid(3, k4_euclid_8, k1_funct_1(A, 3)))) ) ).
fof(t42_euclid_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) => k6_euclid(3, k1_euclid_8(A, B, C))=k8_euclid(3, k8_euclid(3, k6_euclid(3, k9_euclid(3, k2_euclid_8, A)), k9_euclid(3, k3_euclid_8, B)), k9_euclid(3, k4_euclid_8, C))) ) ) ) ) ) ).
fof(t43_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) => k7_euclid(3, A, B)=k7_euclid(3, k7_euclid(3, k9_euclid(3, k2_euclid_8, k2_xcmplx_0(k1_funct_1(A, 1), k1_funct_1(B, 1))), k9_euclid(3, k3_euclid_8, k2_xcmplx_0(k1_funct_1(A, 2), k1_funct_1(B, 2)))), k9_euclid(3, k4_euclid_8, k2_xcmplx_0(k1_funct_1(A, 3), k1_funct_1(B, 3))))) ) ) ) ).
fof(t44_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) => k8_euclid(3, A, B)=k7_euclid(3, k7_euclid(3, k9_euclid(3, k2_euclid_8, k6_xcmplx_0(k1_funct_1(A, 1), k1_funct_1(B, 1))), k9_euclid(3, k3_euclid_8, k6_xcmplx_0(k1_funct_1(A, 2), k1_funct_1(B, 2)))), k9_euclid(3, k4_euclid_8, k6_xcmplx_0(k1_funct_1(A, 3), k1_funct_1(B, 3))))) ) ) ) ).
fof(t45_euclid_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) => k7_euclid(3, k1_euclid_8(A, B, C), k1_euclid_8(D, E, F))=k7_euclid(3, k7_euclid(3, k9_euclid(3, k2_euclid_8, k2_xcmplx_0(A, D)), k9_euclid(3, k3_euclid_8, k2_xcmplx_0(B, E))), k9_euclid(3, k4_euclid_8, k2_xcmplx_0(C, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_euclid_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) => k8_euclid(3, k1_euclid_8(A, B, C), k1_euclid_8(D, E, F))=k7_euclid(3, k7_euclid(3, k9_euclid(3, k2_euclid_8, k6_xcmplx_0(A, D)), k9_euclid(3, k3_euclid_8, k6_xcmplx_0(B, E))), k9_euclid(3, k4_euclid_8, k6_xcmplx_0(C, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(3)) =>  (k7_euclid(3, k7_euclid(3, k9_euclid(3, k2_euclid_8, k1_funct_1(A, 1)), k9_euclid(3, k3_euclid_8, k1_funct_1(A, 2))), k9_euclid(3, k4_euclid_8, k1_funct_1(A, 3)))=k7_euclid(3, k7_euclid(3, k9_euclid(3, k2_euclid_8, k2_xcmplx_0(k1_funct_1(B, 1), k1_funct_1(C, 1))), k9_euclid(3, k3_euclid_8, k2_xcmplx_0(k1_funct_1(B, 2), k1_funct_1(C, 2)))), k9_euclid(3, k4_euclid_8, k2_xcmplx_0(k1_funct_1(B, 3), k1_funct_1(C, 3)))) <=> k7_euclid(3, k7_euclid(3, k9_euclid(3, k2_euclid_8, k1_funct_1(B, 1)), k9_euclid(3, k3_euclid_8, k1_funct_1(B, 2))), k9_euclid(3, k4_euclid_8, k1_funct_1(B, 3)))=k7_euclid(3, k7_euclid(3, k9_euclid(3, k2_euclid_8, k6_xcmplx_0(k1_funct_1(A, 1), k1_funct_1(C, 1))), k9_euclid(3, k3_euclid_8, k6_xcmplx_0(k1_funct_1(A, 2), k1_funct_1(C, 2)))), k9_euclid(3, k4_euclid_8, k6_xcmplx_0(k1_funct_1(A, 3), k1_funct_1(C, 3))))) ) ) ) ) ) ) ).
fof(d5_euclid_8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_numbers, k1_euclid(3)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(3))))) )  =>  (D=k6_euclid_8(A, B, C) <=>  (! [E] :  (v1_xreal_0(E) => k1_funct_1(D, E)=k1_euclid_8(k1_funct_1(A, E), k1_funct_1(B, E), k1_funct_1(C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_euclid_8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  (v1_xreal_0(D) => k1_funct_1(k6_euclid_8(A, B, C), D)=k7_euclid(3, k7_euclid(3, k9_euclid(3, k2_euclid_8, k1_funct_1(A, D)), k9_euclid(3, k3_euclid_8, k1_funct_1(B, D))), k9_euclid(3, k4_euclid_8, k1_funct_1(C, D)))) ) ) ) ) ) ) ) ).
fof(t49_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  (v1_xreal_0(E) =>  (A=k1_funct_1(k6_euclid_8(B, C, D), E) <=>  (k1_funct_1(A, 1)=k1_funct_1(B, E) &  (k1_funct_1(A, 2)=k1_funct_1(C, E) & k1_funct_1(A, 3)=k1_funct_1(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (k3_finseq_1(A)=3 & k4_finseq_1(A)=k2_finseq_1(3)) ) ) ).
fof(t51_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) => k14_rvsum_1(A, B)=k11_finseq_1(k3_xcmplx_0(k1_funct_1(A, 1), k1_funct_1(B, 1)), k3_xcmplx_0(k1_funct_1(A, 2), k1_funct_1(B, 2)), k3_xcmplx_0(k1_funct_1(A, 3), k1_funct_1(B, 3)))) ) ) ) ).
fof(t52_euclid_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) => k9_euclid(3, B, A)=k1_euclid_8(k3_xcmplx_0(A, k1_funct_1(B, 1)), k3_xcmplx_0(A, k1_funct_1(B, 2)), k3_xcmplx_0(A, k1_funct_1(B, 3)))) ) ) ) ).
fof(t54_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) => k3_finseq_1(k6_euclid(3, A))=k3_finseq_1(A)) ) ).
fof(t55_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) => k7_euclid(3, A, B)=k1_euclid_8(k2_xcmplx_0(k1_funct_1(A, 1), k1_funct_1(B, 1)), k2_xcmplx_0(k1_funct_1(A, 2), k1_funct_1(B, 2)), k2_xcmplx_0(k1_funct_1(A, 3), k1_funct_1(B, 3)))) ) ) ) ).
fof(t56_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [H] :  ( (v1_funct_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [I] :  (v1_xreal_0(I) =>  (! [J] :  (v1_xreal_0(J) =>  ( (A=k1_funct_1(k6_euclid_8(C, D, E), I) &  (B=k1_funct_1(k6_euclid_8(F, G, H), J) & A=B) )  =>  (k1_funct_1(C, I)=k1_funct_1(F, J) &  (k1_funct_1(D, I)=k1_funct_1(G, J) & k1_funct_1(E, I)=k1_funct_1(H, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_euclid_8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (k1_funct_1(A, G)=k1_funct_1(D, H) &  (k1_funct_1(B, G)=k1_funct_1(E, H) & k1_funct_1(C, G)=k1_funct_1(F, H)) )  => k1_funct_1(k6_euclid_8(A, B, C), G)=k1_funct_1(k6_euclid_8(D, E, F), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  (v1_xreal_0(B) => k9_euclid(3, A, B)=k1_euclid_8(k3_xcmplx_0(B, k1_funct_1(A, 1)), k3_xcmplx_0(B, k1_funct_1(A, 2)), k3_xcmplx_0(B, k1_funct_1(A, 3)))) ) ) ) ).
fof(t59_euclid_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => k9_euclid(3, k1_euclid_8(A, B, C), D)=k1_euclid_8(k3_xcmplx_0(D, A), k3_xcmplx_0(D, B), k3_xcmplx_0(D, C))) ) ) ) ) ) ) ) ).
fof(t60_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) => k6_euclid(3, A)=k1_euclid_8(k4_xcmplx_0(k1_funct_1(A, 1)), k4_xcmplx_0(k1_funct_1(A, 2)), k4_xcmplx_0(k1_funct_1(A, 3)))) ) ).
fof(t61_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (k1_funct_1(k6_euclid(3, A), 1)=k4_xcmplx_0(k1_funct_1(A, 1)) &  (k1_funct_1(k6_euclid(3, A), 2)=k4_xcmplx_0(k1_funct_1(A, 2)) & k1_funct_1(k6_euclid(3, A), 3)=k4_xcmplx_0(k1_funct_1(A, 3))) ) ) ) ).
fof(t62_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) => k8_euclid(3, A, B)=k1_euclid_8(k6_xcmplx_0(k1_funct_1(A, 1), k1_funct_1(B, 1)), k6_xcmplx_0(k1_funct_1(A, 2), k1_funct_1(B, 2)), k6_xcmplx_0(k1_funct_1(A, 3), k1_funct_1(B, 3)))) ) ) ) ).
fof(t63_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) => k22_rvsum_1(A, B)=k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(A, 1), k1_funct_1(B, 1)), k3_xcmplx_0(k1_funct_1(A, 2), k1_funct_1(B, 2))), k3_xcmplx_0(k1_funct_1(A, 3), k1_funct_1(B, 3)))) ) ) ) ).
fof(t64_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) => k22_rvsum_1(A, A)=k2_xcmplx_0(k2_xcmplx_0(k1_square_1(k1_funct_1(A, 1)), k1_square_1(k1_funct_1(A, 2))), k1_square_1(k1_funct_1(A, 3)))) ) ).
fof(t65_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) => k12_euclid(A)=k3_square_1(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(k1_funct_1(A, 1)), k1_square_1(k1_funct_1(A, 2))), k1_square_1(k1_funct_1(A, 3))))) ) ).
fof(t66_euclid_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) => k12_euclid(k9_euclid(3, B, A))=k3_xcmplx_0(k9_complex1(A), k3_square_1(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(k1_funct_1(B, 1)), k1_square_1(k1_funct_1(B, 2))), k1_square_1(k1_funct_1(B, 3)))))) ) ) ) ).
fof(t67_euclid_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(3)) => k7_euclid(3, k9_euclid(3, C, A), k9_euclid(3, C, B))=k9_euclid(3, k1_euclid_8(k1_funct_1(C, 1), k1_funct_1(C, 2), k1_funct_1(C, 3)), k2_xcmplx_0(A, B))) ) ) ) ) ) ).
fof(t68_euclid_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(3)) => k22_rvsum_1(k9_euclid(3, B, A), C)=k3_xcmplx_0(A, k22_rvsum_1(B, C))) ) ) ) ) ) ).
fof(t69_euclid_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(3)) => k8_euclid(3, k9_euclid(3, C, A), k9_euclid(3, C, B))=k9_euclid(3, k1_euclid_8(k1_funct_1(C, 1), k1_funct_1(C, 2), k1_funct_1(C, 3)), k6_xcmplx_0(A, B))) ) ) ) ) ) ).
fof(t70_euclid_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(3)) => k22_rvsum_1(k9_euclid(3, B, A), C)=k3_xcmplx_0(A, k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(B, 1), k1_funct_1(C, 1)), k3_xcmplx_0(k1_funct_1(B, 2), k1_funct_1(C, 2))), k3_xcmplx_0(k1_funct_1(B, 3), k1_funct_1(C, 3))))) ) ) ) ) ) ).
fof(t71_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) => k22_rvsum_1(A, k16_euclid(3))=k5_numbers) ) ).
fof(t72_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) => k22_rvsum_1(k6_euclid(3, A), B)=k4_xcmplx_0(k22_rvsum_1(A, B))) ) ) ) ).
fof(t73_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) => k22_rvsum_1(k6_euclid(3, A), k6_euclid(3, B))=k22_rvsum_1(A, B)) ) ) ) ).
fof(t74_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(3)) => k22_rvsum_1(k8_euclid(3, B, C), A)=k6_xcmplx_0(k22_rvsum_1(B, A), k22_rvsum_1(C, A))) ) ) ) ) ) ).
fof(t75_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(3)) => k22_rvsum_1(k7_euclid(3, B, C), A)=k2_xcmplx_0(k22_rvsum_1(B, A), k22_rvsum_1(C, A))) ) ) ) ) ) ).
fof(t76_euclid_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(3)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(3)) => k22_rvsum_1(k7_euclid(3, k9_euclid(3, D, A), k9_euclid(3, E, B)), C)=k2_xcmplx_0(k3_xcmplx_0(A, k22_rvsum_1(D, C)), k3_xcmplx_0(B, k22_rvsum_1(E, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t77_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(3)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) => k22_rvsum_1(k7_euclid(3, A, B), k7_euclid(3, C, D))=k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k22_rvsum_1(A, C), k22_rvsum_1(A, D)), k22_rvsum_1(B, C)), k22_rvsum_1(B, D))) ) ) ) ) ) ) ) ).
fof(t78_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(3)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) => k22_rvsum_1(k8_euclid(3, A, B), k8_euclid(3, C, D))=k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k22_rvsum_1(A, C), k22_rvsum_1(A, D)), k22_rvsum_1(B, C)), k22_rvsum_1(B, D))) ) ) ) ) ) ) ) ).
fof(t79_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (k22_rvsum_1(A, A)=k5_numbers <=> A=k16_euclid(3)) ) ) ).
fof(t80_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (k12_euclid(A)=k5_numbers <=> A=k16_euclid(3)) ) ) ).
fof(t81_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) => k22_rvsum_1(k8_euclid(3, A, B), k8_euclid(3, A, B))=k2_xcmplx_0(k6_xcmplx_0(k22_rvsum_1(A, A), k3_xcmplx_0(2, k22_rvsum_1(A, B))), k22_rvsum_1(B, B))) ) ) ) ).
fof(t82_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) => k22_rvsum_1(k7_euclid(3, A, B), k7_euclid(3, A, B))=k2_xcmplx_0(k2_xcmplx_0(k22_rvsum_1(A, A), k3_xcmplx_0(2, k22_rvsum_1(A, B))), k22_rvsum_1(B, B))) ) ) ) ).
fof(t83_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) => k5_euclid_8(A, B)=k6_euclid(3, k5_euclid_8(B, A))) ) ) ) ).
fof(t84_euclid_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) => k5_euclid_8(k1_euclid_8(A, B, C), k1_euclid_8(D, E, F))=k1_euclid_8(k6_xcmplx_0(k3_xcmplx_0(B, F), k3_xcmplx_0(C, E)), k6_xcmplx_0(k3_xcmplx_0(C, D), k3_xcmplx_0(A, F)), k6_xcmplx_0(k3_xcmplx_0(A, E), k3_xcmplx_0(B, D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t85_euclid_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(3)) =>  (k5_euclid_8(k9_euclid(3, B, A), C)=k9_euclid(3, k5_euclid_8(B, C), A) & k5_euclid_8(k9_euclid(3, B, A), C)=k5_euclid_8(B, k9_euclid(3, C, A))) ) ) ) ) ) ) ).
fof(t86_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(3)) => k5_euclid_8(A, k7_euclid(3, B, C))=k7_euclid(3, k5_euclid_8(A, B), k5_euclid_8(A, C))) ) ) ) ) ) ).
fof(t87_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(3)) => k5_euclid_8(k7_euclid(3, A, B), C)=k7_euclid(3, k5_euclid_8(A, C), k5_euclid_8(B, C))) ) ) ) ) ) ).
fof(t88_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(3)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) => k5_euclid_8(k7_euclid(3, A, B), k7_euclid(3, C, D))=k7_euclid(3, k7_euclid(3, k7_euclid(3, k5_euclid_8(A, C), k5_euclid_8(A, D)), k5_euclid_8(B, C)), k5_euclid_8(B, D))) ) ) ) ) ) ) ) ).
fof(t89_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(3)) => k5_euclid_8(A, k5_euclid_8(B, C))=k8_euclid(3, k9_euclid(3, B, k22_rvsum_1(A, C)), k9_euclid(3, C, k22_rvsum_1(A, B)))) ) ) ) ) ) ).
fof(d6_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(3)) => k7_euclid_8(A, B, C)=k22_rvsum_1(A, k5_euclid_8(B, C))) ) ) ) ) ) ).
fof(t90_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) => k7_euclid_8(A, A, B)=k5_numbers) ) ) ) ).
fof(t91_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) => k7_euclid_8(B, A, B)=k5_numbers) ) ) ) ).
fof(t92_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) => k7_euclid_8(A, B, B)=k5_numbers) ) ) ) ).
fof(t93_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(3)) => k7_euclid_8(A, B, C)=k7_euclid_8(B, C, A)) ) ) ) ) ) ).
fof(t94_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(3)) => k7_euclid_8(A, B, C)=k22_rvsum_1(k5_euclid_8(A, B), C)) ) ) ) ) ) ).
fof(t95_euclid_8, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(3)) => k7_euclid_8(B, C, A)=k22_rvsum_1(k5_euclid_8(A, B), C)) ) ) ) ) ) ).
fof(d7_euclid_8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  (v1_xreal_0(D) => k8_euclid_8(A, B, C, D)=k1_euclid_8(k1_fdiff_1(A, D), k1_fdiff_1(B, D), k1_fdiff_1(C, D))) ) ) ) ) ) ) ) ).
fof(t96_euclid_8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_fdiff_1(A, D) &  (r1_fdiff_1(B, D) & r1_fdiff_1(C, D)) )  => k8_euclid_8(A, B, C, D)=k7_euclid(3, k7_euclid(3, k9_euclid(3, k2_euclid_8, k1_fdiff_1(A, D)), k9_euclid(3, k3_euclid_8, k1_fdiff_1(B, D))), k9_euclid(3, k4_euclid_8, k1_fdiff_1(C, D)))) ) ) ) ) ) ) ) ) ).
fof(t97_euclid_8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [G] :  (v1_xreal_0(G) =>  ( (r1_fdiff_1(A, G) &  (r1_fdiff_1(B, G) &  (r1_fdiff_1(C, G) &  (r1_fdiff_1(D, G) &  (r1_fdiff_1(E, G) & r1_fdiff_1(F, G)) ) ) ) )  => k8_euclid_8(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, D), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, E), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, F), G)=k7_euclid(3, k8_euclid_8(A, B, C, G), k8_euclid_8(D, E, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t98_euclid_8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [G] :  (v1_xreal_0(G) =>  ( (r1_fdiff_1(A, G) &  (r1_fdiff_1(B, G) &  (r1_fdiff_1(C, G) &  (r1_fdiff_1(D, G) &  (r1_fdiff_1(E, G) & r1_fdiff_1(F, G)) ) ) ) )  => k8_euclid_8(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, A, D), k47_valued_1(k1_numbers, k1_numbers, k1_numbers, B, E), k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, F), G)=k8_euclid(3, k8_euclid_8(A, B, C, G), k8_euclid_8(D, E, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t99_euclid_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  (v1_xreal_0(E) =>  ( (r1_fdiff_1(B, E) &  (r1_fdiff_1(C, E) & r1_fdiff_1(D, E)) )  => k8_euclid_8(k26_valued_1(k1_numbers, k1_numbers, B, A), k26_valued_1(k1_numbers, k1_numbers, C, A), k26_valued_1(k1_numbers, k1_numbers, D, A), E)=k9_euclid(3, k8_euclid_8(B, C, D, E), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t100_euclid_8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [G] :  (v1_xreal_0(G) =>  ( (r1_fdiff_1(A, G) &  (r1_fdiff_1(B, G) &  (r1_fdiff_1(C, G) &  (r1_fdiff_1(D, G) &  (r1_fdiff_1(E, G) & r1_fdiff_1(F, G)) ) ) ) )  => k8_euclid_8(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, D), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, E), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, C, F), G)=k7_euclid(3, k1_euclid_8(k3_xcmplx_0(k1_funct_1(D, G), k1_fdiff_1(A, G)), k3_xcmplx_0(k1_funct_1(E, G), k1_fdiff_1(B, G)), k3_xcmplx_0(k1_funct_1(F, G), k1_fdiff_1(C, G))), k1_euclid_8(k3_xcmplx_0(k1_funct_1(A, G), k1_fdiff_1(D, G)), k3_xcmplx_0(k1_funct_1(B, G), k1_fdiff_1(E, G)), k3_xcmplx_0(k1_funct_1(C, G), k1_fdiff_1(F, G))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t101_euclid_8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [G] :  (v1_xreal_0(G) =>  ( (r1_fdiff_1(A, G) &  (r1_fdiff_1(B, G) &  (r1_fdiff_1(C, G) &  (r1_fdiff_1(D, k1_funct_1(A, G)) &  (r1_fdiff_1(E, k1_funct_1(B, G)) & r1_fdiff_1(F, k1_funct_1(C, G))) ) ) ) )  => k8_euclid_8(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, D), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, E), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, F), G)=k1_euclid_8(k3_xcmplx_0(k1_fdiff_1(D, k1_funct_1(A, G)), k1_fdiff_1(A, G)), k3_xcmplx_0(k1_fdiff_1(E, k1_funct_1(B, G)), k1_fdiff_1(B, G)), k3_xcmplx_0(k1_fdiff_1(F, k1_funct_1(C, G)), k1_fdiff_1(C, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t102_euclid_8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [G] :  (v1_xreal_0(G) =>  ( (r1_fdiff_1(A, G) &  (r1_fdiff_1(B, G) &  (r1_fdiff_1(C, G) &  (r1_fdiff_1(D, G) &  (r1_fdiff_1(E, G) & r1_fdiff_1(F, G)) ) ) ) )  =>  (k1_funct_1(D, G)=k5_numbers |  (k1_funct_1(E, G)=k5_numbers |  (k1_funct_1(F, G)=k5_numbers | k8_euclid_8(k3_rfunct_1(k1_numbers, k1_numbers, A, D), k3_rfunct_1(k1_numbers, k1_numbers, B, E), k3_rfunct_1(k1_numbers, k1_numbers, C, F), G)=k1_euclid_8(k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(A, G), k1_funct_1(D, G)), k3_xcmplx_0(k1_fdiff_1(D, G), k1_funct_1(A, G))), k1_square_1(k1_funct_1(D, G))), k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(B, G), k1_funct_1(E, G)), k3_xcmplx_0(k1_fdiff_1(E, G), k1_funct_1(B, G))), k1_square_1(k1_funct_1(E, G))), k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(C, G), k1_funct_1(F, G)), k3_xcmplx_0(k1_fdiff_1(F, G), k1_funct_1(C, G))), k1_square_1(k1_funct_1(F, G))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t103_euclid_8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_fdiff_1(A, D) &  (r1_fdiff_1(B, D) & r1_fdiff_1(C, D)) )  =>  (k1_funct_1(A, D)=k5_numbers |  (k1_funct_1(B, D)=k5_numbers |  (k1_funct_1(C, D)=k5_numbers | k8_euclid_8(k6_rfunct_1(k1_numbers, k1_numbers, A), k6_rfunct_1(k1_numbers, k1_numbers, B), k6_rfunct_1(k1_numbers, k1_numbers, C), D)=k6_euclid(3, k1_euclid_8(k7_xcmplx_0(k1_fdiff_1(A, D), k1_square_1(k1_funct_1(A, D))), k7_xcmplx_0(k1_fdiff_1(B, D), k1_square_1(k1_funct_1(B, D))), k7_xcmplx_0(k1_fdiff_1(C, D), k1_square_1(k1_funct_1(C, D)))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t104_euclid_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  (v1_xreal_0(E) =>  ( (r1_fdiff_1(B, E) &  (r1_fdiff_1(C, E) & r1_fdiff_1(D, E)) )  => k8_euclid_8(k26_valued_1(k1_numbers, k1_numbers, B, A), k26_valued_1(k1_numbers, k1_numbers, C, A), k26_valued_1(k1_numbers, k1_numbers, D, A), E)=k7_euclid(3, k7_euclid(3, k9_euclid(3, k2_euclid_8, k3_xcmplx_0(A, k1_fdiff_1(B, E))), k9_euclid(3, k3_euclid_8, k3_xcmplx_0(A, k1_fdiff_1(C, E)))), k9_euclid(3, k4_euclid_8, k3_xcmplx_0(A, k1_fdiff_1(D, E))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t105_euclid_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [H] :  (v1_xreal_0(H) =>  ( (r1_fdiff_1(B, H) &  (r1_fdiff_1(C, H) &  (r1_fdiff_1(D, H) &  (r1_fdiff_1(E, H) &  (r1_fdiff_1(F, H) & r1_fdiff_1(G, H)) ) ) ) )  => k8_euclid_8(k26_valued_1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, E), A), k26_valued_1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, F), A), k26_valued_1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, D, G), A), H)=k7_euclid(3, k9_euclid(3, k8_euclid_8(B, C, D, H), A), k9_euclid(3, k8_euclid_8(E, F, G, H), A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t106_euclid_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [H] :  (v1_xreal_0(H) =>  ( (r1_fdiff_1(B, H) &  (r1_fdiff_1(C, H) &  (r1_fdiff_1(D, H) &  (r1_fdiff_1(E, H) &  (r1_fdiff_1(F, H) & r1_fdiff_1(G, H)) ) ) ) )  => k8_euclid_8(k26_valued_1(k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, B, E), A), k26_valued_1(k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, F), A), k26_valued_1(k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, D, G), A), H)=k8_euclid(3, k9_euclid(3, k8_euclid_8(B, C, D, H), A), k9_euclid(3, k8_euclid_8(E, F, G, H), A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t107_euclid_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [H] :  (v1_xreal_0(H) =>  ( (r1_fdiff_1(B, H) &  (r1_fdiff_1(C, H) &  (r1_fdiff_1(D, H) &  (r1_fdiff_1(E, H) &  (r1_fdiff_1(F, H) & r1_fdiff_1(G, H)) ) ) ) )  => k8_euclid_8(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, B, A), E), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, C, A), F), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, D, A), G), H)=k7_euclid(3, k9_euclid(3, k1_euclid_8(k3_xcmplx_0(k1_funct_1(E, H), k1_fdiff_1(B, H)), k3_xcmplx_0(k1_funct_1(F, H), k1_fdiff_1(C, H)), k3_xcmplx_0(k1_funct_1(G, H), k1_fdiff_1(D, H))), A), k9_euclid(3, k1_euclid_8(k3_xcmplx_0(k1_funct_1(B, H), k1_fdiff_1(E, H)), k3_xcmplx_0(k1_funct_1(C, H), k1_fdiff_1(F, H)), k3_xcmplx_0(k1_funct_1(D, H), k1_fdiff_1(G, H))), A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t108_euclid_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [H] :  (v1_xreal_0(H) =>  ( (r1_fdiff_1(B, H) &  (r1_fdiff_1(C, H) &  (r1_fdiff_1(D, H) &  (r1_fdiff_1(E, k1_funct_1(B, H)) &  (r1_fdiff_1(F, k1_funct_1(C, H)) & r1_fdiff_1(G, k1_funct_1(D, H))) ) ) ) )  => k8_euclid_8(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k26_valued_1(k1_numbers, k1_numbers, E, A)), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k26_valued_1(k1_numbers, k1_numbers, F, A)), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k26_valued_1(k1_numbers, k1_numbers, G, A)), H)=k9_euclid(3, k1_euclid_8(k3_xcmplx_0(k1_fdiff_1(E, k1_funct_1(B, H)), k1_fdiff_1(B, H)), k3_xcmplx_0(k1_fdiff_1(F, k1_funct_1(C, H)), k1_fdiff_1(C, H)), k3_xcmplx_0(k1_fdiff_1(G, k1_funct_1(D, H)), k1_fdiff_1(D, H))), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t109_euclid_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [H] :  (v1_xreal_0(H) =>  ( (r1_fdiff_1(B, H) &  (r1_fdiff_1(C, H) &  (r1_fdiff_1(D, H) &  (r1_fdiff_1(E, H) &  (r1_fdiff_1(F, H) & r1_fdiff_1(G, H)) ) ) ) )  =>  (k1_funct_1(E, H)=k5_numbers |  (k1_funct_1(F, H)=k5_numbers |  (k1_funct_1(G, H)=k5_numbers | k8_euclid_8(k3_rfunct_1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, B, A), E), k3_rfunct_1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, C, A), F), k3_rfunct_1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, D, A), G), H)=k9_euclid(3, k1_euclid_8(k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(B, H), k1_funct_1(E, H)), k3_xcmplx_0(k1_fdiff_1(E, H), k1_funct_1(B, H))), k1_square_1(k1_funct_1(E, H))), k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(C, H), k1_funct_1(F, H)), k3_xcmplx_0(k1_fdiff_1(F, H), k1_funct_1(C, H))), k1_square_1(k1_funct_1(F, H))), k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(D, H), k1_funct_1(G, H)), k3_xcmplx_0(k1_fdiff_1(G, H), k1_funct_1(D, H))), k1_square_1(k1_funct_1(G, H)))), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t110_euclid_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  (v1_xreal_0(E) =>  ( (r1_fdiff_1(B, E) &  (r1_fdiff_1(C, E) & r1_fdiff_1(D, E)) )  =>  (k1_funct_1(B, E)=k5_numbers |  (k1_funct_1(C, E)=k5_numbers |  (k1_funct_1(D, E)=k5_numbers |  (A=k5_numbers | k8_euclid_8(k6_rfunct_1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, B, A)), k6_rfunct_1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, C, A)), k6_rfunct_1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, D, A)), E)=k6_euclid(3, k9_euclid(3, k1_euclid_8(k7_xcmplx_0(k1_fdiff_1(B, E), k1_square_1(k1_funct_1(B, E))), k7_xcmplx_0(k1_fdiff_1(C, E), k1_square_1(k1_funct_1(C, E))), k7_xcmplx_0(k1_fdiff_1(D, E), k1_square_1(k1_funct_1(D, E)))), k7_xcmplx_0(1, A)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t111_euclid_8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [G] :  (v1_xreal_0(G) =>  ( (r1_fdiff_1(A, G) &  (r1_fdiff_1(B, G) &  (r1_fdiff_1(C, G) &  (r1_fdiff_1(D, G) &  (r1_fdiff_1(E, G) & r1_fdiff_1(F, G)) ) ) ) )  => k8_euclid_8(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, F), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, C, E)), k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, F)), k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, E), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, D)), G)=k7_euclid(3, k1_euclid_8(k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(B, G), k1_fdiff_1(F, G)), k3_xcmplx_0(k1_funct_1(C, G), k1_fdiff_1(E, G))), k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(C, G), k1_fdiff_1(D, G)), k3_xcmplx_0(k1_funct_1(A, G), k1_fdiff_1(F, G))), k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(A, G), k1_fdiff_1(E, G)), k3_xcmplx_0(k1_funct_1(B, G), k1_fdiff_1(D, G)))), k1_euclid_8(k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(B, G), k1_funct_1(F, G)), k3_xcmplx_0(k1_fdiff_1(C, G), k1_funct_1(E, G))), k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(C, G), k1_funct_1(D, G)), k3_xcmplx_0(k1_fdiff_1(A, G), k1_funct_1(F, G))), k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(A, G), k1_funct_1(E, G)), k3_xcmplx_0(k1_fdiff_1(B, G), k1_funct_1(D, G)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t112_euclid_8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [H] :  ( (v1_funct_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [I] :  ( (v1_funct_1(I) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [J] :  (v1_xreal_0(J) =>  ( (r1_fdiff_1(A, J) &  (r1_fdiff_1(B, J) &  (r1_fdiff_1(C, J) &  (r1_fdiff_1(D, J) &  (r1_fdiff_1(E, J) &  (r1_fdiff_1(F, J) &  (r1_fdiff_1(G, J) &  (r1_fdiff_1(H, J) & r1_fdiff_1(I, J)) ) ) ) ) ) ) )  => k8_euclid_8(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, G, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, F), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, C, E))), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, H, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, F))), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, I, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, E), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, D))), J)=k7_euclid(3, k7_euclid(3, k1_euclid_8(k3_xcmplx_0(k1_fdiff_1(G, J), k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(B, J), k1_funct_1(F, J)), k3_xcmplx_0(k1_funct_1(C, J), k1_funct_1(E, J)))), k3_xcmplx_0(k1_fdiff_1(H, J), k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(C, J), k1_funct_1(D, J)), k3_xcmplx_0(k1_funct_1(A, J), k1_funct_1(F, J)))), k3_xcmplx_0(k1_fdiff_1(I, J), k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(A, J), k1_funct_1(E, J)), k3_xcmplx_0(k1_funct_1(B, J), k1_funct_1(D, J))))), k1_euclid_8(k3_xcmplx_0(k1_funct_1(G, J), k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(B, J), k1_funct_1(F, J)), k3_xcmplx_0(k1_fdiff_1(C, J), k1_funct_1(E, J)))), k3_xcmplx_0(k1_funct_1(H, J), k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(C, J), k1_funct_1(D, J)), k3_xcmplx_0(k1_fdiff_1(A, J), k1_funct_1(F, J)))), k3_xcmplx_0(k1_funct_1(I, J), k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(A, J), k1_funct_1(E, J)), k3_xcmplx_0(k1_fdiff_1(B, J), k1_funct_1(D, J)))))), k1_euclid_8(k3_xcmplx_0(k1_funct_1(G, J), k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(B, J), k1_fdiff_1(F, J)), k3_xcmplx_0(k1_funct_1(C, J), k1_fdiff_1(E, J)))), k3_xcmplx_0(k1_funct_1(H, J), k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(C, J), k1_fdiff_1(D, J)), k3_xcmplx_0(k1_funct_1(A, J), k1_fdiff_1(F, J)))), k3_xcmplx_0(k1_funct_1(I, J), k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(A, J), k1_fdiff_1(E, J)), k3_xcmplx_0(k1_funct_1(B, J), k1_fdiff_1(D, J))))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t113_euclid_8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [H] :  ( (v1_funct_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [I] :  ( (v1_funct_1(I) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [J] :  (v1_xreal_0(J) =>  ( (r1_fdiff_1(A, J) &  (r1_fdiff_1(B, J) &  (r1_fdiff_1(C, J) &  (r1_fdiff_1(D, J) &  (r1_fdiff_1(E, J) &  (r1_fdiff_1(F, J) &  (r1_fdiff_1(G, J) &  (r1_fdiff_1(H, J) & r1_fdiff_1(I, J)) ) ) ) ) ) ) )  => k8_euclid_8(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, H, B), F), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, I, C), E)), k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, I, C), D), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, G, A), F)), k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, G, A), E), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, H, B), D)), J)=k7_euclid(3, k7_euclid(3, k1_euclid_8(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_funct_1(H, J), k1_funct_1(B, J)), k1_fdiff_1(F, J)), k3_xcmplx_0(k3_xcmplx_0(k1_funct_1(I, J), k1_funct_1(C, J)), k1_fdiff_1(E, J))), k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_funct_1(I, J), k1_funct_1(C, J)), k1_fdiff_1(D, J)), k3_xcmplx_0(k3_xcmplx_0(k1_funct_1(G, J), k1_funct_1(A, J)), k1_fdiff_1(F, J))), k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_funct_1(G, J), k1_funct_1(A, J)), k1_fdiff_1(E, J)), k3_xcmplx_0(k3_xcmplx_0(k1_funct_1(H, J), k1_funct_1(B, J)), k1_fdiff_1(D, J)))), k1_euclid_8(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_funct_1(H, J), k1_fdiff_1(B, J)), k1_funct_1(F, J)), k3_xcmplx_0(k3_xcmplx_0(k1_funct_1(I, J), k1_fdiff_1(C, J)), k1_funct_1(E, J))), k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_funct_1(I, J), k1_fdiff_1(C, J)), k1_funct_1(D, J)), k3_xcmplx_0(k3_xcmplx_0(k1_funct_1(G, J), k1_fdiff_1(A, J)), k1_funct_1(F, J))), k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_funct_1(G, J), k1_fdiff_1(A, J)), k1_funct_1(E, J)), k3_xcmplx_0(k3_xcmplx_0(k1_funct_1(H, J), k1_fdiff_1(B, J)), k1_funct_1(D, J))))), k1_euclid_8(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(H, J), k1_funct_1(B, J)), k1_funct_1(F, J)), k3_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(I, J), k1_funct_1(C, J)), k1_funct_1(E, J))), k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(I, J), k1_funct_1(C, J)), k1_funct_1(D, J)), k3_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(G, J), k1_funct_1(A, J)), k1_funct_1(F, J))), k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(G, J), k1_funct_1(A, J)), k1_funct_1(E, J)), k3_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(H, J), k1_funct_1(B, J)), k1_funct_1(D, J)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t114_euclid_8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [H] :  ( (v1_funct_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [I] :  ( (v1_funct_1(I) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [J] :  (v1_xreal_0(J) =>  ( (r1_fdiff_1(A, J) &  (r1_fdiff_1(B, J) &  (r1_fdiff_1(C, J) &  (r1_fdiff_1(D, J) &  (r1_fdiff_1(E, J) &  (r1_fdiff_1(F, J) &  (r1_fdiff_1(G, J) &  (r1_fdiff_1(H, J) & r1_fdiff_1(I, J)) ) ) ) ) ) ) )  => k8_euclid_8(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, H, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, E), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, D))), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, I, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, F)))), k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, I, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, F), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, C, E))), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, G, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, E), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, D)))), k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, G, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, F))), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, H, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, F), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, C, E)))), J)=k7_euclid(3, k7_euclid(3, k1_euclid_8(k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(H, J), k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(A, J), k1_fdiff_1(E, J)), k3_xcmplx_0(k1_funct_1(B, J), k1_fdiff_1(D, J)))), k3_xcmplx_0(k1_funct_1(I, J), k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(C, J), k1_fdiff_1(D, J)), k3_xcmplx_0(k1_funct_1(A, J), k1_fdiff_1(F, J))))), k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(I, J), k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(B, J), k1_fdiff_1(F, J)), k3_xcmplx_0(k1_funct_1(C, J), k1_fdiff_1(E, J)))), k3_xcmplx_0(k1_funct_1(G, J), k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(A, J), k1_fdiff_1(E, J)), k3_xcmplx_0(k1_funct_1(B, J), k1_fdiff_1(D, J))))), k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(G, J), k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(C, J), k1_fdiff_1(D, J)), k3_xcmplx_0(k1_funct_1(A, J), k1_fdiff_1(F, J)))), k3_xcmplx_0(k1_funct_1(H, J), k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(B, J), k1_fdiff_1(F, J)), k3_xcmplx_0(k1_funct_1(C, J), k1_fdiff_1(E, J)))))), k1_euclid_8(k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(H, J), k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(A, J), k1_funct_1(E, J)), k3_xcmplx_0(k1_fdiff_1(B, J), k1_funct_1(D, J)))), k3_xcmplx_0(k1_funct_1(I, J), k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(C, J), k1_funct_1(D, J)), k3_xcmplx_0(k1_fdiff_1(A, J), k1_funct_1(F, J))))), k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(I, J), k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(B, J), k1_funct_1(F, J)), k3_xcmplx_0(k1_fdiff_1(C, J), k1_funct_1(E, J)))), k3_xcmplx_0(k1_funct_1(G, J), k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(A, J), k1_funct_1(E, J)), k3_xcmplx_0(k1_fdiff_1(B, J), k1_funct_1(D, J))))), k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(G, J), k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(C, J), k1_funct_1(D, J)), k3_xcmplx_0(k1_fdiff_1(A, J), k1_funct_1(F, J)))), k3_xcmplx_0(k1_funct_1(H, J), k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(B, J), k1_funct_1(F, J)), k3_xcmplx_0(k1_fdiff_1(C, J), k1_funct_1(E, J))))))), k1_euclid_8(k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(H, J), k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(A, J), k1_funct_1(E, J)), k3_xcmplx_0(k1_funct_1(B, J), k1_funct_1(D, J)))), k3_xcmplx_0(k1_fdiff_1(I, J), k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(C, J), k1_funct_1(D, J)), k3_xcmplx_0(k1_funct_1(A, J), k1_funct_1(F, J))))), k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(I, J), k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(B, J), k1_funct_1(F, J)), k3_xcmplx_0(k1_funct_1(C, J), k1_funct_1(E, J)))), k3_xcmplx_0(k1_fdiff_1(G, J), k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(A, J), k1_funct_1(E, J)), k3_xcmplx_0(k1_funct_1(B, J), k1_funct_1(D, J))))), k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(G, J), k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(C, J), k1_funct_1(D, J)), k3_xcmplx_0(k1_funct_1(A, J), k1_funct_1(F, J)))), k3_xcmplx_0(k1_fdiff_1(H, J), k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(B, J), k1_funct_1(F, J)), k3_xcmplx_0(k1_funct_1(C, J), k1_funct_1(E, J)))))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_euclid_8, axiom,  (! [A, B, C] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) & v1_xreal_0(C)) )  => m2_finseq_2(k1_euclid_8(A, B, C), k1_numbers, k1_euclid(3))) ) ).
fof(redefinition_k1_euclid_8, axiom,  (! [A, B, C] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) & v1_xreal_0(C)) )  => k1_euclid_8(A, B, C)=k11_finseq_1(A, B, C)) ) ).
fof(dt_k2_euclid_8, axiom, m2_finseq_2(k2_euclid_8, k1_numbers, k1_euclid(3))).
fof(dt_k3_euclid_8, axiom, m2_finseq_2(k3_euclid_8, k1_numbers, k1_euclid(3))).
fof(dt_k4_euclid_8, axiom, m2_finseq_2(k4_euclid_8, k1_numbers, k1_euclid(3))).
fof(dt_k5_euclid_8, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_euclid(3)) & m1_subset_1(B, k1_euclid(3)))  => m2_finseq_2(k5_euclid_8(A, B), k1_numbers, k1_euclid(3))) ) ).
fof(dt_k6_euclid_8, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  =>  (v1_funct_1(k6_euclid_8(A, B, C)) &  (v1_funct_2(k6_euclid_8(A, B, C), k1_numbers, k1_euclid(3)) & m1_subset_1(k6_euclid_8(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(3))))) ) ) ) ).
fof(dt_k7_euclid_8, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k1_euclid(3)) &  (m1_subset_1(B, k1_euclid(3)) & m1_subset_1(C, k1_euclid(3))) )  => v1_xreal_0(k7_euclid_8(A, B, C))) ) ).
fof(dt_k8_euclid_8, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  & v1_xreal_0(D)) ) )  => m2_finseq_2(k8_euclid_8(A, B, C, D), k1_numbers, k1_euclid(3))) ) ).
fof(fc1_euclid_9, axiom,  (! [A, B] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  ~ (v2_xxreal_0(B)) ) )  => v1_xboole_0(k4_xxreal_1(k6_xcmplx_0(A, B), k2_xcmplx_0(A, B)))) ) ).
fof(fc2_euclid_9, axiom,  (! [A, B] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  ~ (v2_xxreal_0(B)) ) )  => v1_xboole_0(k2_xxreal_1(k6_xcmplx_0(A, B), k2_xcmplx_0(A, B)))) ) ).
fof(fc3_euclid_9, axiom,  (! [A, B] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  ~ (v2_xxreal_0(B)) ) )  => v1_xboole_0(k3_xxreal_1(k6_xcmplx_0(A, B), k2_xcmplx_0(A, B)))) ) ).
fof(fc4_euclid_9, axiom,  (! [A, B] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) & v3_xxreal_0(B)) )  => v1_xboole_0(k1_xxreal_1(k6_xcmplx_0(A, B), k2_xcmplx_0(A, B)))) ) ).
fof(fc5_euclid_9, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) &  (v1_finseq_1(B) & v1_valued_0(B)) ) ) ) )  =>  (v1_relat_1(k30_valued_1(B)) &  (v1_funct_1(k30_valued_1(B)) &  (v3_card_1(k30_valued_1(B), A) & v1_valued_0(k30_valued_1(B))) ) ) ) ) ).
fof(fc6_euclid_9, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) &  (v1_finseq_1(B) & v1_valued_0(B)) ) ) ) )  =>  (v1_relat_1(k35_valued_1(B)) &  (v1_funct_1(k35_valued_1(B)) &  (v3_card_1(k35_valued_1(B), A) & v1_valued_0(k35_valued_1(B))) ) ) ) ) ).
fof(fc7_euclid_9, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) &  (v1_finseq_1(B) & v1_valued_0(B)) ) ) ) )  =>  (v1_relat_1(k39_valued_1(B)) &  (v1_funct_1(k39_valued_1(B)) & v3_card_1(k39_valued_1(B), A)) ) ) ) ).
fof(fc8_euclid_9, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) &  (v1_finseq_1(B) & v1_valued_0(B)) ) ) ) )  =>  (v1_relat_1(k54_valued_1(B)) &  (v1_funct_1(k54_valued_1(B)) &  (v3_card_1(k54_valued_1(B), A) & v3_valued_0(k54_valued_1(B))) ) ) ) ) ).
fof(fc9_euclid_9, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) &  (v1_finseq_1(B) & v1_valued_0(B)) ) ) )  &  (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) &  (v1_finseq_1(C) & v1_valued_0(C)) ) ) ) ) )  =>  (v1_relat_1(k1_valued_1(B, C)) &  (v1_funct_1(k1_valued_1(B, C)) & v3_card_1(k1_valued_1(B, C), A)) ) ) ) ).
fof(fc10_euclid_9, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) &  (v1_finseq_1(B) & v1_valued_0(B)) ) ) )  &  (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) &  (v1_finseq_1(C) & v1_valued_0(C)) ) ) ) ) )  =>  (v1_relat_1(k45_valued_1(B, C)) &  (v1_funct_1(k45_valued_1(B, C)) & v3_card_1(k45_valued_1(B, C), A)) ) ) ) ).
fof(fc11_euclid_9, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) &  (v1_finseq_1(B) & v1_valued_0(B)) ) ) )  &  (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) &  (v1_finseq_1(C) & v1_valued_0(C)) ) ) ) ) )  =>  (v1_relat_1(k18_valued_1(B, C)) &  (v1_funct_1(k18_valued_1(B, C)) & v3_card_1(k18_valued_1(B, C), A)) ) ) ) ).
fof(fc12_euclid_9, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) &  (v1_finseq_1(B) & v1_valued_0(B)) ) ) )  &  (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) &  (v1_finseq_1(C) & v1_valued_0(C)) ) ) ) ) )  =>  (v1_relat_1(k50_valued_1(B, C)) &  (v1_funct_1(k50_valued_1(B, C)) & v3_card_1(k50_valued_1(B, C), A)) ) ) ) ).
fof(fc13_euclid_9, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v7_ordinal1(B) &  (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, B) &  (v1_finseq_1(C) & v1_valued_0(C)) ) ) ) ) )  =>  (v1_relat_1(k7_valued_1(C, A)) &  (v1_funct_1(k7_valued_1(C, A)) & v3_card_1(k7_valued_1(C, A), B)) ) ) ) ).
fof(fc14_euclid_9, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v7_ordinal1(B) &  (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, B) &  (v1_finseq_1(C) & v1_valued_0(C)) ) ) ) ) )  =>  (v1_relat_1(k13_valued_1(C, A)) &  (v1_funct_1(k13_valued_1(C, A)) & v3_card_1(k13_valued_1(C, A), B)) ) ) ) ).
fof(fc15_euclid_9, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v7_ordinal1(B) &  (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, B) &  (v1_finseq_1(C) & v1_valued_0(C)) ) ) ) ) )  =>  (v1_relat_1(k24_valued_1(C, A)) &  (v1_funct_1(k24_valued_1(C, A)) & v3_card_1(k24_valued_1(C, A), B)) ) ) ) ).
fof(fc16_euclid_9, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  => v3_valued_2(k1_tarski(A))) ) ).
fof(fc17_euclid_9, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v3_valued_0(B)) ) )  => v3_valued_2(k2_tarski(A, B))) ) ).
fof(fc18_euclid_9, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, A) & v1_finseq_1(D)) ) ) )  =>  (v1_relat_1(k1_funct_7(D, B, C)) &  (v1_funct_1(k1_funct_7(D, B, C)) & v3_card_1(k1_funct_7(D, B, C), A)) ) ) ) ).
fof(fc19_euclid_9, axiom, v7_struct_0(k3_pcomps_1(k14_euclid(k5_numbers)))).
fof(fc20_euclid_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v2_monoid_0(k14_euclid(A)) &  (v1_metric_1(k14_euclid(A)) &  (v6_metric_1(k14_euclid(A)) &  (v7_metric_1(k14_euclid(A)) &  (v8_metric_1(k14_euclid(A)) & v9_metric_1(k14_euclid(A))) ) ) ) ) ) ) ).
fof(cc1_euclid_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k14_euclid(A))) => v5_relat_1(B, k1_numbers)) ) ) ) ).
fof(cc2_euclid_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k14_euclid(A))) => v3_card_1(B, A)) ) ) ) ).
fof(fc21_euclid_9, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, u1_struct_0(k14_euclid(A))) &  (v1_xreal_0(C) &  ~ (v2_xxreal_0(C)) ) ) )  => v1_xboole_0(k8_metric_1(k14_euclid(A), B, C))) ) ).
fof(fc22_euclid_9, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, u1_struct_0(k14_euclid(A))) &  (v1_xreal_0(C) & v2_xxreal_0(C)) ) )  =>  ~ (v1_xboole_0(k8_metric_1(k14_euclid(A), B, C))) ) ) ).
fof(fc23_euclid_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_relat_1(k3_euclid_9(k1_xboole_0, A)) &  (v1_funct_1(k3_euclid_9(k1_xboole_0, A)) & v1_xboole_0(k3_euclid_9(k1_xboole_0, A))) ) ) ) ).
fof(fc24_euclid_9, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  & v1_xreal_0(B))  =>  (v1_relat_1(k3_euclid_9(A, B)) &  (v1_funct_1(k3_euclid_9(A, B)) & v1_finseq_1(k3_euclid_9(A, B))) ) ) ) ).
fof(fc25_euclid_9, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (m1_subset_1(B, u1_struct_0(k14_euclid(A))) &  (v1_xreal_0(C) &  ~ (v2_xxreal_0(C)) ) ) )  => v1_xboole_0(k4_euclid_9(A, B, C))) ) ).
fof(fc26_euclid_9, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k14_euclid(k5_numbers))) & v1_xreal_0(B))  =>  ~ (v1_xboole_0(k4_euclid_9(k5_numbers, A, B))) ) ) ).
fof(fc27_euclid_9, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, u1_struct_0(k14_euclid(A))) &  (v1_xreal_0(C) & v2_xxreal_0(C)) ) )  =>  ~ (v1_xboole_0(k4_euclid_9(A, B, C))) ) ) ).
fof(fc28_euclid_9, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, u1_struct_0(k14_euclid(A))) & v1_xreal_0(C)) )  => v3_pre_topc(k4_euclid_9(A, B, C), k3_pcomps_1(k14_euclid(A)))) ) ).
fof(fc29_euclid_9, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, u1_struct_0(k14_euclid(A))))  =>  ( ~ (v1_xboole_0(k5_euclid_9(A, B)))  &  (v1_tops_2(k5_euclid_9(A, B), k3_pcomps_1(k14_euclid(A))) & v1_yellow_8(k5_euclid_9(A, B), k3_pcomps_1(k14_euclid(A)), k2_euclid_9(A, B))) ) ) ) ).
fof(t1_euclid_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) )  =>  (v1_xboole_0(B) => A=k5_numbers) ) ) ) ) ).
fof(t2_euclid_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) &  (v1_finseq_1(B) & v3_valued_0(B)) ) ) )  => r2_tarski(B, k1_euclid(A))) ) ) ) ).
fof(t3_euclid_9, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  => k54_valued_1(k45_valued_1(A, B))=k54_valued_1(k45_valued_1(B, A))) ) ) ) ).
fof(t4_euclid_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) &  (v1_finseq_1(B) & v3_valued_0(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) &  (v1_finseq_1(C) & v3_valued_0(C)) ) ) )  =>  ( ~ (A=k5_numbers)  => r2_tarski(k1_euclid_9(A, B, C), k4_finseq_1(B))) ) ) ) ) ) ) ).
fof(t5_euclid_9, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, B) &  (v1_finseq_1(C) & v3_valued_0(C)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, B) &  (v1_finseq_1(D) & v3_valued_0(D)) ) ) )  => r1_xxreal_0(k1_funct_1(k3_euclid(k8_rvsum_1(C, D)), A), k1_funct_1(k3_euclid(k8_rvsum_1(C, D)), k1_euclid_9(B, C, D)))) ) ) ) ) ) ) ).
fof(t6_euclid_9, axiom, k2_pcomps_1(k14_euclid(k5_numbers))=k2_tarski(k1_xboole_0, k1_tarski(k1_xboole_0))).
fof(t7_euclid_9, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k14_euclid(k5_numbers)))) =>  (A=k1_xboole_0 | A=k1_tarski(k1_xboole_0)) ) ) ).
fof(d2_euclid_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k14_euclid(A))) => k2_euclid_9(A, B)=B) ) ) ) ).
fof(t8_euclid_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(B))) =>  (r2_tarski(A, k4_finseq_1(C)) => r1_xxreal_0(k1_square_1(k5_real_1(k7_partfun1(k1_numbers, C, A), k7_partfun1(k1_numbers, D, A))), k18_rvsum_1(k12_rvsum_1(k5_algstr_0(k15_euclid(B), C, D))))) ) ) ) ) ) ) ) ) ).
fof(t9_euclid_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  (r2_tarski(C, k1_topreal9(A, D, B)) =>  (! [F] :  ( ~ (r1_xxreal_0(B, k9_complex1(k1_funct_1(k5_algstr_0(k15_euclid(A), C, D), F))))  &  ~ (r1_xxreal_0(B, k9_complex1(k6_xcmplx_0(k1_funct_1(C, F), k1_funct_1(D, F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_euclid_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_euclid(A))) =>  (r2_tarski(C, k8_metric_1(k14_euclid(A), D, B)) =>  (! [E] :  ( ~ (r1_xxreal_0(B, k9_complex1(k1_funct_1(k8_rvsum_1(C, D), E))))  &  ~ (r1_xxreal_0(B, k9_complex1(k6_xcmplx_0(k1_funct_1(C, E), k1_funct_1(D, E))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_euclid_9, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k3_euclid_9(A, B) <=>  (k9_xtuple_0(C)=k9_xtuple_0(A) &  (! [D] :  (r2_hidden(D, k9_xtuple_0(A)) => k1_funct_1(C, D)=k2_rcomp_1(k6_xcmplx_0(k1_funct_1(A, D), B), k2_xcmplx_0(k1_funct_1(A, D), B))) ) ) ) ) ) ) ) ) ) ).
fof(d4_euclid_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k14_euclid(A))) =>  (! [C] :  (v1_xreal_0(C) => k4_euclid_9(A, B, C)=k4_card_3(k3_euclid_9(B, C))) ) ) ) ) ) ).
fof(t11_euclid_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_euclid(A))) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  => r2_tarski(C, k4_euclid_9(A, C, B))) ) ) ) ) ) ) ).
fof(t12_euclid_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k14_euclid(k5_numbers))) => k4_euclid_9(k5_numbers, B, A)=k1_tarski(k1_xboole_0)) ) ) ) ).
fof(t13_euclid_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_euclid(A))) =>  (r1_xxreal_0(B, C) => r1_tarski(k4_euclid_9(A, D, B), k4_euclid_9(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t14_euclid_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_euclid(A))) =>  (r2_tarski(D, k4_euclid_9(A, C, B)) =>  ( (A=k5_numbers & r1_xxreal_0(B, k5_numbers))  |  (! [E] :  ( ~ (r1_xxreal_0(B, k9_complex1(k1_funct_1(k8_rvsum_1(D, C), E))))  &  ~ (r1_xxreal_0(B, k9_complex1(k6_xcmplx_0(k1_funct_1(D, E), k1_funct_1(C, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_euclid_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_euclid(A))) =>  ~ ( ( ~ (A=k5_numbers)  &  (r2_tarski(D, k4_euclid_9(A, C, B)) & r1_xxreal_0(k3_xcmplx_0(A, k1_square_1(B)), k18_rvsum_1(k12_rvsum_1(k8_rvsum_1(D, C))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_euclid_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_euclid(A))) =>  ~ ( ( ~ (A=k5_numbers)  &  (r2_tarski(D, k4_euclid_9(A, C, B)) & r1_xxreal_0(k3_xcmplx_0(B, k3_square_1(A)), k3_metric_1(k14_euclid(A), D, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_euclid_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_euclid(A))) =>  ( ~ (A=k5_numbers)  => r1_tarski(k4_euclid_9(A, C, k7_xcmplx_0(B, k3_square_1(A))), k8_metric_1(k14_euclid(A), C, B))) ) ) ) ) ) ) ).
fof(t18_euclid_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_euclid(A))) =>  ( ~ (A=k5_numbers)  => r1_tarski(k4_euclid_9(A, C, B), k8_metric_1(k14_euclid(A), C, k3_xcmplx_0(B, k3_square_1(A))))) ) ) ) ) ) ) ).
fof(t19_euclid_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_euclid(A))) =>  ~ ( (r2_tarski(D, k8_metric_1(k14_euclid(A), C, B)) &  (! [E] :  ( ( ~ (v8_ordinal1(E))  & m1_subset_1(E, k4_ordinal1))  =>  ~ (r1_tarski(k4_euclid_9(A, D, k7_xcmplx_0(1, E)), k8_metric_1(k14_euclid(A), C, B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_euclid_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_euclid(A))) =>  ~ ( ( ~ (A=k5_numbers)  &  (r2_tarski(D, k4_euclid_9(A, C, B)) & r1_xxreal_0(B, k1_funct_1(k3_euclid(k8_rvsum_1(D, C)), k1_euclid_9(A, D, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_euclid_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_euclid(A))) => r1_tarski(k4_euclid_9(A, D, k6_xcmplx_0(B, k1_funct_1(k3_euclid(k8_rvsum_1(D, C)), k1_euclid_9(A, D, C)))), k4_euclid_9(A, C, B))) ) ) ) ) ) ) ) ).
fof(t22_euclid_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_euclid(A))) => r1_tarski(k8_metric_1(k14_euclid(A), C, B), k4_euclid_9(A, C, B))) ) ) ) ) ) ).
fof(t23_euclid_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(k14_euclid(A))))) =>  (v3_pre_topc(B, k3_pcomps_1(k14_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_euclid(A))) =>  ~ ( (r2_tarski(C, B) &  (! [D] :  ( ( ~ (v8_ordinal1(D))  & m1_subset_1(D, k4_ordinal1))  =>  ~ (r1_tarski(k4_euclid_9(A, C, k7_xcmplx_0(1, D)), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_euclid_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(k14_euclid(A))))) =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k14_euclid(A))) =>  ~ ( (r2_tarski(C, B) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  & r1_tarski(k4_euclid_9(A, C, D), B)) ) ) ) ) ) ) )  => v3_pre_topc(B, k3_pcomps_1(k14_euclid(A)))) ) ) ) ) ).
fof(t25_euclid_9, axiom,  (! [A] :  (v7_ordinal1(A) => k1_funct_2(k2_finseq_1(A), k1_numbers)=k4_card_3(k12_pralg_1(k1_finseq_1(A), k7_funcop_1(k2_finseq_1(A), k3_topmetr)))) ) ).
fof(t26_euclid_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (A=k5_numbers)  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_pcomps_1(k14_euclid(A)))))) =>  (B=k2_waybel18(k1_finseq_1(A), k7_funcop_1(k2_finseq_1(A), k3_topmetr)) => v2_cantor_1(B, k3_pcomps_1(k14_euclid(A)))) ) ) ) ) ) ).
fof(t27_euclid_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_pcomps_1(k14_euclid(A)))))) =>  (B=k2_waybel18(k1_finseq_1(A), k7_funcop_1(k2_finseq_1(A), k3_topmetr)) => v1_tops_2(B, k3_pcomps_1(k14_euclid(A)))) ) ) ) ) ).
fof(t28_euclid_9, axiom,  (! [A] :  (v7_ordinal1(A) => k3_pcomps_1(k14_euclid(A))=k3_waybel18(k1_finseq_1(A), k7_funcop_1(k2_finseq_1(A), k3_topmetr))) ) ).
fof(dt_k1_euclid_9, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) &  (v1_finseq_1(B) & v3_valued_0(B)) ) ) )  &  (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) &  (v1_finseq_1(C) & v3_valued_0(C)) ) ) ) ) )  => v7_ordinal1(k1_euclid_9(A, B, C))) ) ).
fof(commutativity_k1_euclid_9, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) &  (v1_finseq_1(B) & v3_valued_0(B)) ) ) )  &  (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) &  (v1_finseq_1(C) & v3_valued_0(C)) ) ) ) ) )  => k1_euclid_9(A, B, C)=k1_euclid_9(A, C, B)) ) ).
fof(dt_k2_euclid_9, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, u1_struct_0(k14_euclid(A))))  => m1_subset_1(k2_euclid_9(A, B), u1_struct_0(k3_pcomps_1(k14_euclid(A))))) ) ).
fof(dt_k3_euclid_9, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  & v1_xreal_0(B))  =>  (v1_relat_1(k3_euclid_9(A, B)) & v1_funct_1(k3_euclid_9(A, B))) ) ) ).
fof(dt_k4_euclid_9, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, u1_struct_0(k14_euclid(A))) & v1_xreal_0(C)) )  => m1_subset_1(k4_euclid_9(A, B, C), k1_zfmisc_1(u1_struct_0(k3_pcomps_1(k14_euclid(A)))))) ) ).
fof(dt_k5_euclid_9, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, u1_struct_0(k14_euclid(A))))  => m1_subset_1(k5_euclid_9(A, B), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_pcomps_1(k14_euclid(A))))))) ) ).
fof(d1_euclid_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) &  (v1_finseq_1(B) & v3_valued_0(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) &  (v1_finseq_1(C) & v3_valued_0(C)) ) ) )  => k1_euclid_9(A, B, C)=o_3_0_euclid_9(A, B, C)) ) ) ) ) ) ).
fof(d5_euclid_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k14_euclid(A))) => k5_euclid_9(A, B)=a_2_0_euclid_9(A, B)) ) ) ) ).
fof(dt_o_3_0_euclid_9, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) &  (v1_finseq_1(B) & v3_valued_0(B)) ) ) )  &  (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) &  (v1_finseq_1(C) & v3_valued_0(C)) ) ) ) ) )  => m1_subset_1(o_3_0_euclid_9(A, B, C), k8_relset_1(k4_ordinal1, k1_numbers, k3_euclid(k8_rvsum_1(B, C)), k1_tarski(k1_xxreal_2(k1_rvsum_1(k3_euclid(k8_rvsum_1(B, C)))))))) ) ).
fof(fraenkel_a_2_0_euclid_9, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) & m1_subset_1(C, u1_struct_0(k14_euclid(B))))  =>  (r2_hidden(A, a_2_0_euclid_9(B, C)) <=>  (? [D] :  ( ( ~ (v8_ordinal1(D))  & m1_subset_1(D, k4_ordinal1))  & A=k4_euclid_9(B, C, k7_xcmplx_0(1, D))) ) ) ) ) ).
fof(fc1_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ (v1_xboole_0(k1_euclidlp(A))) ) ) ).
fof(fc2_euclidlp, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, k1_euclid(A)) &  (m1_subset_1(C, k1_euclid(A)) & m1_subset_1(D, k1_euclid(A))) ) )  =>  ~ (v1_xboole_0(k4_euclidlp(A, B, C, D))) ) ) ).
fof(fc3_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ (v1_xboole_0(k5_euclidlp(A))) ) ) ).
fof(t1_euclidlp, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(D)) =>  (k9_euclid(D, k9_euclid(D, E, C), k7_xcmplx_0(A, B))=k9_euclid(D, E, k7_xcmplx_0(k3_xcmplx_0(A, C), B)) & k9_euclid(D, k9_euclid(D, E, C), k7_xcmplx_0(1, B))=k9_euclid(D, E, k7_xcmplx_0(C, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (k8_euclid(A, B, B)=k5_euclid(A) & k7_euclid(A, B, k6_euclid(A, B))=k5_euclid(A)) ) ) ) ) ).
fof(t3_euclidlp, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(B)) =>  (k6_euclid(B, k9_euclid(B, C, A))=k9_euclid(B, C, k4_xcmplx_0(A)) & k6_euclid(B, k9_euclid(B, C, A))=k9_euclid(B, k6_euclid(B, C), A)) ) ) ) ) ) ) ).
fof(t4_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) => k8_euclid(A, B, k8_euclid(A, C, D))=k7_euclid(A, k8_euclid(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t5_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) => k7_euclid(A, B, k8_euclid(A, C, D))=k8_euclid(A, k7_euclid(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t6_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (B=k7_euclid(A, C, D) <=> C=k8_euclid(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t7_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (B=k7_euclid(A, k7_euclid(A, C, D), E) <=> k8_euclid(A, B, C)=k7_euclid(A, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) => k6_euclid(A, k7_euclid(A, k7_euclid(A, B, C), D))=k7_euclid(A, k7_euclid(A, k6_euclid(A, B), k6_euclid(A, C)), k6_euclid(A, D))) ) ) ) ) ) ) ) ).
fof(t9_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (B=C <=> k8_euclid(A, B, C)=k5_euclid(A)) ) ) ) ) ) ) ).
fof(t10_euclidlp, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(B)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(B)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(B)) =>  ~ ( (k8_euclid(B, E, C)=k9_euclid(B, D, A) &  ( ~ (E=C)  & A=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_euclidlp, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(C)) =>  (k9_euclid(C, D, k6_xcmplx_0(A, B))=k7_euclid(C, k9_euclid(C, D, A), k9_euclid(C, D, k4_xcmplx_0(B))) &  (k9_euclid(C, D, k6_xcmplx_0(A, B))=k7_euclid(C, k9_euclid(C, D, A), k6_euclid(C, k9_euclid(C, D, B))) & k9_euclid(C, D, k6_xcmplx_0(A, B))=k8_euclid(C, k9_euclid(C, D, A), k9_euclid(C, D, B))) ) ) ) ) ) ) ) ) ) ).
fof(t12_euclidlp, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(B)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(B)) =>  (k9_euclid(B, k8_euclid(B, C, D), A)=k7_euclid(B, k9_euclid(B, C, A), k6_euclid(B, k9_euclid(B, D, A))) &  (k9_euclid(B, k8_euclid(B, C, D), A)=k7_euclid(B, k9_euclid(B, C, A), k9_euclid(B, D, k4_xcmplx_0(A))) & k9_euclid(B, k8_euclid(B, C, D), A)=k8_euclid(B, k9_euclid(B, C, A), k9_euclid(B, D, A))) ) ) ) ) ) ) ) ) ) ).
fof(t13_euclidlp, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(D)) => k9_euclid(D, E, k6_xcmplx_0(k6_xcmplx_0(A, B), C))=k8_euclid(D, k8_euclid(D, k9_euclid(D, E, A), k9_euclid(D, E, B)), k9_euclid(D, E, C))) ) ) ) ) ) ) ) ) ) ).
fof(t14_euclidlp, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(D)) =>  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(D)) =>  (! [G] :  (m2_finseq_2(G, k1_numbers, k1_euclid(D)) =>  (! [H] :  (m2_finseq_2(H, k1_numbers, k1_euclid(D)) => k8_euclid(D, E, k7_euclid(D, k7_euclid(D, k9_euclid(D, F, A), k9_euclid(D, G, B)), k9_euclid(D, H, C)))=k7_euclid(D, E, k7_euclid(D, k7_euclid(D, k9_euclid(D, F, k4_xcmplx_0(A)), k9_euclid(D, G, k4_xcmplx_0(B))), k9_euclid(D, H, k4_xcmplx_0(C))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_euclidlp, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(D)) =>  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(D)) => k8_euclid(D, E, k9_euclid(D, F, k2_xcmplx_0(k2_xcmplx_0(A, B), C)))=k7_euclid(D, k7_euclid(D, k7_euclid(D, E, k9_euclid(D, F, k4_xcmplx_0(A))), k9_euclid(D, F, k4_xcmplx_0(B))), k9_euclid(D, F, k4_xcmplx_0(C)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) => k7_euclid(A, k7_euclid(A, B, C), k7_euclid(A, D, E))=k7_euclid(A, k7_euclid(A, B, D), k7_euclid(A, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t17_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(A)) =>  (! [G] :  (m2_finseq_2(G, k1_numbers, k1_euclid(A)) => k7_euclid(A, k7_euclid(A, k7_euclid(A, B, C), D), k7_euclid(A, k7_euclid(A, E, F), G))=k7_euclid(A, k7_euclid(A, k7_euclid(A, B, E), k7_euclid(A, C, F)), k7_euclid(A, D, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) => k8_euclid(A, k7_euclid(A, B, C), k7_euclid(A, D, E))=k7_euclid(A, k8_euclid(A, B, D), k8_euclid(A, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t19_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(A)) =>  (! [G] :  (m2_finseq_2(G, k1_numbers, k1_euclid(A)) => k8_euclid(A, k7_euclid(A, k7_euclid(A, B, C), D), k7_euclid(A, k7_euclid(A, E, F), G))=k7_euclid(A, k7_euclid(A, k8_euclid(A, B, E), k8_euclid(A, C, F)), k8_euclid(A, D, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_euclidlp, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(B)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(B)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(B)) => k9_euclid(B, k7_euclid(B, k7_euclid(B, C, D), E), A)=k7_euclid(B, k7_euclid(B, k9_euclid(B, C, A), k9_euclid(B, D, A)), k9_euclid(B, E, A))) ) ) ) ) ) ) ) ) ) ).
fof(t21_euclidlp, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(D)) =>  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(D)) => k9_euclid(D, k7_euclid(D, k9_euclid(D, E, B), k9_euclid(D, F, C)), A)=k7_euclid(D, k9_euclid(D, E, k3_xcmplx_0(A, B)), k9_euclid(D, F, k3_xcmplx_0(A, C)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_euclidlp, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(E)) =>  (! [G] :  (m2_finseq_2(G, k1_numbers, k1_euclid(E)) =>  (! [H] :  (m2_finseq_2(H, k1_numbers, k1_euclid(E)) => k9_euclid(E, k7_euclid(E, k7_euclid(E, k9_euclid(E, F, B), k9_euclid(E, G, C)), k9_euclid(E, H, D)), A)=k7_euclid(E, k7_euclid(E, k9_euclid(E, F, k3_xcmplx_0(A, B)), k9_euclid(E, G, k3_xcmplx_0(A, C))), k9_euclid(E, H, k3_xcmplx_0(A, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_euclidlp, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(E)) =>  (! [G] :  (m2_finseq_2(G, k1_numbers, k1_euclid(E)) => k7_euclid(E, k7_euclid(E, k9_euclid(E, F, A), k9_euclid(E, G, B)), k7_euclid(E, k9_euclid(E, F, C), k9_euclid(E, G, D)))=k7_euclid(E, k9_euclid(E, F, k2_xcmplx_0(A, C)), k9_euclid(E, G, k2_xcmplx_0(B, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_euclidlp, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (m2_finseq_2(H, k1_numbers, k1_euclid(G)) =>  (! [I] :  (m2_finseq_2(I, k1_numbers, k1_euclid(G)) =>  (! [J] :  (m2_finseq_2(J, k1_numbers, k1_euclid(G)) => k7_euclid(G, k7_euclid(G, k7_euclid(G, k9_euclid(G, H, A), k9_euclid(G, I, B)), k9_euclid(G, J, C)), k7_euclid(G, k7_euclid(G, k9_euclid(G, H, D), k9_euclid(G, I, E)), k9_euclid(G, J, F)))=k7_euclid(G, k7_euclid(G, k9_euclid(G, H, k2_xcmplx_0(A, D)), k9_euclid(G, I, k2_xcmplx_0(B, E))), k9_euclid(G, J, k2_xcmplx_0(C, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_euclidlp, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(E)) =>  (! [G] :  (m2_finseq_2(G, k1_numbers, k1_euclid(E)) => k8_euclid(E, k7_euclid(E, k9_euclid(E, F, A), k9_euclid(E, G, B)), k7_euclid(E, k9_euclid(E, F, C), k9_euclid(E, G, D)))=k7_euclid(E, k9_euclid(E, F, k6_xcmplx_0(A, C)), k9_euclid(E, G, k6_xcmplx_0(B, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_euclidlp, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (m2_finseq_2(H, k1_numbers, k1_euclid(G)) =>  (! [I] :  (m2_finseq_2(I, k1_numbers, k1_euclid(G)) =>  (! [J] :  (m2_finseq_2(J, k1_numbers, k1_euclid(G)) => k8_euclid(G, k7_euclid(G, k7_euclid(G, k9_euclid(G, H, A), k9_euclid(G, I, B)), k9_euclid(G, J, C)), k7_euclid(G, k7_euclid(G, k9_euclid(G, H, D), k9_euclid(G, I, E)), k9_euclid(G, J, F)))=k7_euclid(G, k7_euclid(G, k9_euclid(G, H, k6_xcmplx_0(A, D)), k9_euclid(G, I, k6_xcmplx_0(B, E))), k9_euclid(G, J, k6_xcmplx_0(C, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_euclidlp, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(D)) =>  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(D)) =>  (! [G] :  (m2_finseq_2(G, k1_numbers, k1_euclid(D)) =>  (k2_xcmplx_0(k2_xcmplx_0(A, B), C)=1 => k7_euclid(D, k7_euclid(D, k9_euclid(D, E, A), k9_euclid(D, F, B)), k9_euclid(D, G, C))=k7_euclid(D, k7_euclid(D, E, k9_euclid(D, k8_euclid(D, F, E), B)), k9_euclid(D, k8_euclid(D, G, E), C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_euclidlp, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(C)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(C)) =>  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(C)) =>  (! [G] :  (m2_finseq_2(G, k1_numbers, k1_euclid(C)) =>  ~ ( (D=k7_euclid(C, k7_euclid(C, E, k9_euclid(C, k8_euclid(C, F, E), A)), k9_euclid(C, k8_euclid(C, G, E), B)) &  (! [H] :  (v1_xreal_0(H) =>  ~ ( (D=k7_euclid(C, k7_euclid(C, k9_euclid(C, E, H), k9_euclid(C, F, A)), k9_euclid(C, G, B)) & k2_xcmplx_0(k2_xcmplx_0(H, A), B)=1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( (r1_xxreal_0(1, A) & k21_euclid(A)=k5_euclid(A)) ) ) ) ).
fof(t30_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  ( (v1_euclid_4(B, A) &  (r2_tarski(C, B) & r2_tarski(D, B)) )  =>  (C=D | B=k2_euclid_4(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t31_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  ~ ( (r2_tarski(B, k2_euclid_4(A, D, E)) &  (r2_tarski(C, k2_euclid_4(A, D, E)) &  (! [F] :  (v1_xreal_0(F) =>  ~ (k8_euclid(A, C, B)=k9_euclid(A, k8_euclid(A, E, D), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (r1_euclidlp(A, B, C) <=>  ( ~ (B=k5_euclid(A))  &  ( ~ (C=k5_euclid(A))  &  (? [D] :  (v1_xreal_0(D) & B=k9_euclid(A, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  ~ ( (r1_euclidlp(A, B, C) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (D=k5_numbers)  & B=k9_euclid(A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  ( (r2_euclidlp(A, B, C) & r2_euclidlp(A, C, D))  => r2_euclidlp(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d2_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (r3_euclidlp(A, B, C) <=>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (k7_euclid(A, k9_euclid(A, B, D), k9_euclid(A, C, E))=k5_euclid(A) =>  (D=k5_numbers & E=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (r3_euclidlp(A, B, C) =>  ( ~ (B=k5_euclid(A))  &  ~ (C=k5_euclid(A)) ) ) ) ) ) ) ) ) ).
fof(t35_euclidlp, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(E)) =>  (! [G] :  (m2_finseq_2(G, k1_numbers, k1_euclid(E)) =>  ( (r3_euclidlp(E, F, G) & k7_euclid(E, k9_euclid(E, F, A), k9_euclid(E, G, B))=k7_euclid(E, k9_euclid(E, F, C), k9_euclid(E, G, D)))  =>  (A=C & B=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_euclidlp, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(E)) =>  (! [G] :  (m2_finseq_2(G, k1_numbers, k1_euclid(E)) =>  (! [H] :  (m2_finseq_2(H, k1_numbers, k1_euclid(E)) =>  (! [I] :  (m2_finseq_2(I, k1_numbers, k1_euclid(E)) =>  (! [J] :  (m2_finseq_2(J, k1_numbers, k1_euclid(E)) =>  ~ ( (r3_euclidlp(E, J, F) &  (J=k7_euclid(E, k9_euclid(E, G, A), k9_euclid(E, H, B)) &  (F=k7_euclid(E, k9_euclid(E, G, C), k9_euclid(E, H, D)) &  (! [K] :  (v1_xreal_0(K) =>  (! [L] :  (v1_xreal_0(L) =>  (! [M] :  (v1_xreal_0(M) =>  (! [N] :  (v1_xreal_0(N) =>  ~ ( (G=k7_euclid(E, k9_euclid(E, J, K), k9_euclid(E, F, L)) & H=k7_euclid(E, k9_euclid(E, J, M), k9_euclid(E, F, N))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  ~ ( (r3_euclidlp(A, B, C) & B=C) ) ) ) ) ) ) ) ).
fof(t38_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  ~ ( (r3_euclidlp(A, k8_euclid(A, C, B), k8_euclid(A, D, B)) & C=D) ) ) ) ) ) ) ) ) ) ).
fof(t39_euclidlp, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(B)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(B)) =>  (r3_euclidlp(B, C, D) => r3_euclidlp(B, k7_euclid(B, C, k9_euclid(B, D, A)), D)) ) ) ) ) ) ) ) ) ).
fof(t40_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(A)) =>  (! [G] :  (m2_finseq_2(G, k1_numbers, k1_euclid(A)) =>  (! [H] :  (m2_finseq_2(H, k1_numbers, k1_euclid(A)) =>  (! [I] :  (m2_finseq_2(I, k1_numbers, k1_euclid(A)) =>  ( (r3_euclidlp(A, k8_euclid(A, C, B), k8_euclid(A, E, D)) &  (r2_tarski(F, k2_euclid_4(A, B, C)) &  (r2_tarski(G, k2_euclid_4(A, B, C)) &  (r2_tarski(H, k2_euclid_4(A, D, E)) & r2_tarski(I, k2_euclid_4(A, D, E))) ) ) )  =>  (F=G |  (H=I | r3_euclidlp(A, k8_euclid(A, G, F), k8_euclid(A, I, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (r2_euclidlp(A, B, C) =>  ( ~ (r3_euclidlp(A, B, C))  &  ( ~ (B=k5_euclid(A))  &  ~ (C=k5_euclid(A)) ) ) ) ) ) ) ) ) ) ).
fof(t42_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  ~ ( ( ~ (r3_euclidlp(A, B, C))  &  ( ~ (B=k5_euclid(A))  &  ( ~ (C=k5_euclid(A))  &  ~ (r2_euclidlp(A, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (? [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) &  (r2_tarski(E, k2_euclid_4(A, B, C)) & r1_rvsum_1(k8_euclid(A, B, C), k8_euclid(A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (r4_euclidlp(A, B, C) <=>  ( ~ (B=k5_euclid(A))  &  ( ~ (C=k5_euclid(A))  & r1_rvsum_1(B, C)) ) ) ) ) ) ) ) ) ).
fof(t44_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  ( (r4_euclidlp(A, B, C) & r2_euclidlp(A, C, D))  => r4_euclidlp(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t45_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (r4_euclidlp(A, B, C) => r3_euclidlp(A, B, C)) ) ) ) ) ) ) ).
fof(t46_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  ~ ( (r2_euclidlp(A, B, C) & r4_euclidlp(A, B, C)) ) ) ) ) ) ) ) ).
fof(t47_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) => r2_tarski(k2_euclid_4(A, B, C), k1_euclidlp(A))) ) ) ) ) ) ).
fof(t48_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  ( (r2_tarski(B, D) & r2_tarski(C, D))  => r1_tarski(k2_euclid_4(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t49_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  ( ~ ( ( ~ (r1_xboole_0(B, C))  &  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  ~ ( (r2_tarski(D, B) & r2_tarski(D, C)) ) ) ) ) )  &  ~ ( ( (? [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) &  (r2_tarski(D, B) & r2_tarski(D, C)) ) )  & r1_xboole_0(B, C)) ) ) ) ) ) ) ) ) ).
fof(t50_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  ~ ( (r1_xboole_0(C, D) &  (r2_tarski(B, C) & r2_tarski(B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (? [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) &  (? [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) & B=k2_euclid_4(A, C, D)) ) ) ) ) ) ) ) ).
fof(t52_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (? [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) & r2_tarski(C, B)) ) ) ) ) ) ).
fof(t53_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  ~ ( (v1_euclid_4(C, A) &  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  ~ ( ( ~ (D=B)  & r2_tarski(D, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  ~ ( ( ~ (r2_tarski(B, C))  &  (v1_euclid_4(C, A) &  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  ~ ( (C=k2_euclid_4(A, D, E) & r4_euclidlp(A, k8_euclid(A, B, D), k8_euclid(A, E, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  ~ ( ( ~ (r2_tarski(B, C))  &  (v1_euclid_4(C, A) &  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  ~ ( (C=k2_euclid_4(A, D, E) & r3_euclidlp(A, k8_euclid(A, B, D), k8_euclid(A, E, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) => k3_euclidlp(A, B, C)=k3_seq_4(k2_euclidlp(A, B, C))) ) ) ) ) ) ).
fof(t57_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (? [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) &  (r2_tarski(D, C) & k12_euclid(k8_euclid(A, B, D))=k3_euclidlp(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t58_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) => r1_xxreal_0(k5_numbers, k3_euclidlp(A, B, C))) ) ) ) ) ) ).
fof(t59_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (r2_tarski(B, C) <=> k3_euclidlp(A, B, C)=k5_numbers) ) ) ) ) ) ) ).
fof(d7_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (r5_euclidlp(A, B, C) <=>  (? [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) &  (? [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) &  (? [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(A)) &  (? [G] :  (m2_finseq_2(G, k1_numbers, k1_euclid(A)) &  (B=k2_euclid_4(A, D, E) &  (C=k2_euclid_4(A, F, G) & r2_euclidlp(A, k8_euclid(A, E, D), k8_euclid(A, G, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  ( (r5_euclidlp(A, B, C) & r5_euclidlp(A, C, D))  => r5_euclidlp(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d8_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (r6_euclidlp(A, B, C) <=>  (? [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) &  (? [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) &  (? [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(A)) &  (? [G] :  (m2_finseq_2(G, k1_numbers, k1_euclid(A)) &  (B=k2_euclid_4(A, D, E) &  (C=k2_euclid_4(A, F, G) & r4_euclidlp(A, k8_euclid(A, E, D), k8_euclid(A, G, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  ( (r6_euclidlp(A, B, C) & r5_euclidlp(A, C, D))  => r6_euclidlp(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t62_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  ~ ( ( ~ (r2_tarski(B, C))  &  (v1_euclid_4(C, A) &  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  ~ ( (r2_tarski(B, D) &  (r6_euclidlp(A, D, C) &  ~ (r1_xboole_0(D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  ~ ( (r1_xboole_0(B, C) &  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  ~ ( (r2_tarski(D, B) &  ~ (r2_tarski(D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  ( (r2_tarski(B, D) & r2_tarski(C, D))  =>  (B=C |  (k2_euclid_4(A, B, C)=D & v1_euclid_4(D, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  ( (v1_euclid_4(B, A) & B=C)  => r5_euclidlp(A, B, C)) ) ) ) ) ) ) ).
fof(t66_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (r5_euclidlp(A, B, C) =>  (v1_euclid_4(B, A) & v1_euclid_4(C, A)) ) ) ) ) ) ) ) ).
fof(t67_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (r6_euclidlp(A, B, C) =>  (v1_euclid_4(B, A) & v1_euclid_4(C, A)) ) ) ) ) ) ) ) ).
fof(t68_euclidlp, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(B)) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(B)), k1_euclidlp(B)) =>  ( (r2_tarski(C, D) & r2_tarski(k9_euclid(B, C, A), D))  =>  (A=1 | r2_tarski(k5_euclid(B), D)) ) ) ) ) ) ) ) ) ) ).
fof(t69_euclidlp, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(B)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(B)) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(k1_euclid(B)), k1_euclidlp(B)) =>  ~ ( (r2_tarski(C, E) &  (r2_tarski(D, E) &  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(B)) =>  ~ ( (r2_tarski(F, E) & k8_euclid(B, F, C)=k9_euclid(B, k8_euclid(B, D, C), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  ~ ( (r2_tarski(B, E) &  (r2_tarski(C, E) &  (r2_tarski(D, E) &  ( ~ (B=C)  &  (! [F] :  (v1_xreal_0(F) =>  ~ (k8_euclid(A, D, B)=k9_euclid(A, k8_euclid(A, C, B), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (r5_euclidlp(A, B, C) =>  (B=C | r1_xboole_0(B, C)) ) ) ) ) ) ) ) ).
fof(t72_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  ~ ( (v1_euclid_4(C, A) &  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  ~ ( (r2_tarski(B, D) & r5_euclidlp(A, D, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t73_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  ~ ( ( ~ (r2_tarski(B, C))  &  (v1_euclid_4(C, A) &  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  ~ ( (r2_tarski(B, D) &  (r5_euclidlp(A, D, C) &  ~ (D=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t74_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  ( (r2_tarski(B, F) &  (r2_tarski(C, F) &  (r2_tarski(D, G) &  (r2_tarski(E, G) & r6_euclidlp(A, F, G)) ) ) )  =>  (B=C |  (D=E | r4_euclidlp(A, k8_euclid(A, C, B), k8_euclid(A, E, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  ~ ( (r6_euclidlp(A, B, C) & B=C) ) ) ) ) ) ) ) ).
fof(t76_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  ~ ( (v1_euclid_4(D, A) &  (D=k2_euclid_4(A, B, C) & B=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t77_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  ( (r2_tarski(B, F) &  (r2_tarski(C, F) &  (r2_tarski(D, G) &  (r2_tarski(E, G) & r5_euclidlp(A, F, G)) ) ) )  =>  (B=C |  (D=E | r2_euclidlp(A, k8_euclid(A, C, B), k8_euclid(A, E, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t78_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(A)) =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  ( (r3_euclidlp(A, k8_euclid(A, C, B), k8_euclid(A, D, B)) &  (r2_tarski(E, k2_euclid_4(A, B, C)) &  (r2_tarski(F, k2_euclid_4(A, B, D)) &  (G=k2_euclid_4(A, C, D) & H=k2_euclid_4(A, E, F)) ) ) )  =>  (r5_euclidlp(A, G, H) <=>  (? [I] :  (v1_xreal_0(I) &  ( ~ (I=k5_numbers)  &  (k8_euclid(A, E, B)=k9_euclid(A, k8_euclid(A, C, B), I) & k8_euclid(A, F, B)=k9_euclid(A, k8_euclid(A, D, B), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t79_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  ~ ( (v1_euclid_4(B, A) &  (v1_euclid_4(C, A) &  ( ~ (B=C)  &  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  ~ ( (r2_tarski(D, B) &  ~ (r2_tarski(D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t80_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  ~ ( (r6_euclidlp(A, C, D) &  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  ~ ( (r2_tarski(B, E) &  (r6_euclidlp(A, E, D) & r5_euclidlp(A, E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t81_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  ~ ( (r2_tarski(B, D) &  (r6_euclidlp(A, C, D) &  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  ~ ( ( ~ (B=E)  &  (r2_tarski(E, C) &  ~ (r2_tarski(E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) =>  (v1_euclidlp(B, A) <=>  (? [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) &  (? [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) &  (? [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) &  (r3_euclidlp(A, k8_euclid(A, D, C), k8_euclid(A, E, C)) & B=k4_euclidlp(A, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t82_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (r2_tarski(B, k4_euclidlp(A, B, C, D)) &  (r2_tarski(C, k4_euclidlp(A, B, C, D)) & r2_tarski(D, k4_euclidlp(A, B, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t83_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(A)) =>  (! [G] :  (m2_finseq_2(G, k1_numbers, k1_euclid(A)) =>  ( (r2_tarski(B, k4_euclidlp(A, E, F, G)) &  (r2_tarski(C, k4_euclidlp(A, E, F, G)) & r2_tarski(D, k4_euclidlp(A, E, F, G))) )  => r1_tarski(k4_euclidlp(A, B, C, D), k4_euclidlp(A, E, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t84_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(A)) =>  (r2_tarski(C, k4_euclidlp(A, D, E, F)) =>  ( (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  ~ ( (k2_xcmplx_0(k2_xcmplx_0(G, H), I)=k5_numbers & C=k7_euclid(A, k7_euclid(A, k9_euclid(A, D, G), k9_euclid(A, E, H)), k9_euclid(A, F, I))) ) ) ) ) ) ) )  | r2_tarski(k5_euclid(A), k4_euclidlp(A, D, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t85_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(A)) =>  ( (r2_tarski(E, k4_euclidlp(A, B, C, D)) & r2_tarski(F, k4_euclidlp(A, B, C, D)))  => r1_tarski(k2_euclid_4(A, E, F), k4_euclidlp(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t86_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  ( (v1_euclidlp(B, A) & r2_tarski(C, B))  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (D=1)  & r2_tarski(k9_euclid(A, C, D), B)) ) ) )  | r2_tarski(k5_euclid(A), B)) ) ) ) ) ) ) ) ).
fof(t87_euclidlp, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(D)) =>  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(D)) =>  (! [G] :  (m2_finseq_2(G, k1_numbers, k1_euclid(D)) =>  (! [H] :  (m2_finseq_2(H, k1_numbers, k1_euclid(D)) =>  ~ ( (r2_tarski(E, k4_euclidlp(D, F, G, H)) &  (E=k7_euclid(D, k7_euclid(D, k9_euclid(D, F, A), k9_euclid(D, G, B)), k9_euclid(D, H, C)) &  ( ~ (k2_xcmplx_0(k2_xcmplx_0(A, B), C)=1)  &  ~ (r2_tarski(k5_euclid(D), k4_euclidlp(D, F, G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t88_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (r2_tarski(B, k4_euclidlp(A, C, D, E)) <=>  (? [F] :  (v1_xreal_0(F) &  (? [G] :  (v1_xreal_0(G) &  (? [H] :  (v1_xreal_0(H) &  (k2_xcmplx_0(k2_xcmplx_0(F, G), H)=1 & B=k7_euclid(A, k7_euclid(A, k9_euclid(A, C, F), k9_euclid(A, D, G)), k9_euclid(A, E, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t89_euclidlp, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (m2_finseq_2(H, k1_numbers, k1_euclid(G)) =>  (! [I] :  (m2_finseq_2(I, k1_numbers, k1_euclid(G)) =>  (! [J] :  (m2_finseq_2(J, k1_numbers, k1_euclid(G)) =>  (! [K] :  (m2_finseq_2(K, k1_numbers, k1_euclid(G)) =>  ( (r3_euclidlp(G, k8_euclid(G, J, I), k8_euclid(G, K, I)) &  (k2_xcmplx_0(k2_xcmplx_0(A, B), C)=1 &  (H=k7_euclid(G, k7_euclid(G, k9_euclid(G, I, A), k9_euclid(G, J, B)), k9_euclid(G, K, C)) &  (k2_xcmplx_0(k2_xcmplx_0(D, E), F)=1 & H=k7_euclid(G, k7_euclid(G, k9_euclid(G, I, D), k9_euclid(G, J, E)), k9_euclid(G, K, F))) ) ) )  =>  (A=D &  (B=E & C=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t90_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) => r2_tarski(k4_euclidlp(A, B, C, D), k5_euclidlp(A))) ) ) ) ) ) ) ) ).
fof(t91_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(k1_euclid(A)), k5_euclidlp(A)) =>  ( (r2_tarski(B, E) &  (r2_tarski(C, E) & r2_tarski(D, E)) )  => r1_tarski(k4_euclidlp(A, B, C, D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t92_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(k1_euclid(A)), k5_euclidlp(A)) =>  ( (r2_tarski(B, E) &  (r2_tarski(C, E) &  (r2_tarski(D, E) & r3_euclidlp(A, k8_euclid(A, C, B), k8_euclid(A, D, B))) ) )  => E=k4_euclidlp(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t93_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(A)), k5_euclidlp(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k5_euclidlp(A)) =>  ( (v1_euclidlp(B, A) & r1_tarski(B, C))  => B=C) ) ) ) ) ) ) ).
fof(t94_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (r1_tarski(k2_euclid_4(A, B, C), k4_euclidlp(A, B, C, D)) &  (r1_tarski(k2_euclid_4(A, C, D), k4_euclidlp(A, B, C, D)) & r1_tarski(k2_euclid_4(A, D, B), k4_euclidlp(A, B, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t95_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(A)), k5_euclidlp(A)) =>  ( (r2_tarski(B, D) & r2_tarski(C, D))  => r1_tarski(k2_euclid_4(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(d12_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (r7_euclidlp(A, B, C) <=>  (? [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) &  (? [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) &  (? [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(A)) &  (r1_tarski(B, k4_euclidlp(A, D, E, F)) & r1_tarski(C, k4_euclidlp(A, D, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t96_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (r7_euclidlp(A, B, C) <=>  (? [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(A)), k5_euclidlp(A)) &  (r1_tarski(B, D) & r1_tarski(C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t97_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (r5_euclidlp(A, B, C) => r7_euclidlp(A, B, C)) ) ) ) ) ) ) ).
fof(t98_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  ~ ( (v1_euclid_4(B, A) &  (v1_euclid_4(C, A) &  (r7_euclidlp(A, B, C) &  (r1_xboole_0(B, C) &  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(A)), k5_euclidlp(A)) =>  ~ ( (r1_tarski(B, D) &  (r1_tarski(C, D) & v1_euclidlp(D, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t99_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (? [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(A)), k5_euclidlp(A)) &  (r2_tarski(B, D) & r1_tarski(C, D)) ) ) ) ) ) ) ) ) ).
fof(t100_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  ~ ( ( ~ (r2_tarski(B, C))  &  (v1_euclid_4(C, A) &  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(A)), k5_euclidlp(A)) =>  ~ ( (r2_tarski(B, D) &  (r1_tarski(C, D) & v1_euclidlp(D, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t101_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(A)), k5_euclidlp(A)) =>  ( (r2_tarski(B, D) &  (r1_tarski(C, D) & v1_euclid_4(C, A)) )  =>  (r2_tarski(B, C) | v1_euclidlp(D, A)) ) ) ) ) ) ) ) ) ) ).
fof(t102_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(A)), k5_euclidlp(A)) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(k1_euclid(A)), k5_euclidlp(A)) =>  ( (v1_euclid_4(C, A) &  (r2_tarski(B, D) &  (r1_tarski(C, D) &  (r2_tarski(B, E) & r1_tarski(C, E)) ) ) )  =>  (r2_tarski(B, C) | D=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t103_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  ~ ( (v1_euclid_4(B, A) &  (v1_euclid_4(C, A) &  (r7_euclidlp(A, B, C) &  ( ~ (B=C)  &  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(A)), k5_euclidlp(A)) =>  ~ ( (r1_tarski(B, D) &  (r1_tarski(C, D) & v1_euclidlp(D, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t104_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  ~ ( (v1_euclid_4(B, A) &  (v1_euclid_4(C, A) &  ( ~ (B=C)  &  ( ~ (r1_xboole_0(B, C))  &  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(A)), k5_euclidlp(A)) =>  ~ ( (r1_tarski(B, D) &  (r1_tarski(C, D) & v1_euclidlp(D, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t105_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(A)), k5_euclidlp(A)) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(k1_euclid(A)), k5_euclidlp(A)) =>  ( (v1_euclid_4(B, A) &  (v1_euclid_4(C, A) &  (r1_tarski(B, D) &  (r1_tarski(C, D) &  (r1_tarski(B, E) & r1_tarski(C, E)) ) ) ) )  =>  (B=C | D=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t106_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  ~ ( (r5_euclidlp(A, B, C) &  ( ~ (B=C)  &  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(A)), k5_euclidlp(A)) =>  ~ ( (r1_tarski(B, D) &  (r1_tarski(C, D) & v1_euclidlp(D, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t107_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  ~ ( (r6_euclidlp(A, B, C) &  ( ~ (r1_xboole_0(B, C))  &  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(A)), k5_euclidlp(A)) =>  ~ ( (v1_euclidlp(D, A) &  (r1_tarski(B, D) & r1_tarski(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t108_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(k1_euclid(A)), k5_euclidlp(A)) =>  ( (r1_tarski(C, F) &  (r1_tarski(D, F) &  (r1_tarski(E, F) &  (r2_tarski(B, C) &  (r2_tarski(B, D) &  (r2_tarski(B, E) &  (r6_euclidlp(A, C, E) & r6_euclidlp(A, D, E)) ) ) ) ) ) )  => C=D) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t109_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  ~ ( (r7_euclidlp(A, B, C) &  (r6_euclidlp(A, B, C) & r1_xboole_0(B, C)) ) ) ) ) ) ) ) ) ).
fof(t110_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(k1_euclid(A)), k5_euclidlp(A)) =>  ( (r1_tarski(D, F) &  (r1_tarski(E, F) &  (r6_euclidlp(A, D, E) &  (r2_tarski(B, F) &  (r5_euclidlp(A, C, E) & r2_tarski(B, C)) ) ) ) )  =>  (r1_tarski(C, F) & r6_euclidlp(A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t111_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(k1_euclid(A)), k5_euclidlp(A)) =>  ( (r1_tarski(B, E) &  (r1_tarski(C, E) &  (r1_tarski(D, E) &  (r6_euclidlp(A, B, C) & r6_euclidlp(A, B, D)) ) ) )  => r5_euclidlp(A, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t112_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(k1_euclid(A)), k5_euclidlp(A)) =>  ~ ( (r1_tarski(C, F) &  (r1_tarski(D, F) &  (r1_tarski(E, F) &  (r5_euclidlp(A, C, D) &  (r5_euclidlp(A, D, E) &  ( ~ (C=D)  &  ( ~ (r1_xboole_0(B, C))  &  ( ~ (r1_xboole_0(B, D))  & r1_xboole_0(B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t113_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  ( (r7_euclidlp(A, B, C) &  (v1_euclid_4(B, A) &  (v1_euclid_4(C, A) & r1_xboole_0(B, C)) ) )  => r5_euclidlp(A, B, C)) ) ) ) ) ) ) ).
fof(t114_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(k1_euclid(A)), k5_euclidlp(A)) =>  ~ ( (r2_tarski(B, F) &  (r2_tarski(C, F) &  (r2_tarski(D, F) &  (r2_tarski(E, F) &  (r3_euclidlp(A, k8_euclid(A, C, B), k8_euclid(A, E, D)) & r1_xboole_0(k2_euclid_4(A, B, C), k2_euclid_4(A, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(symmetry_r2_euclidlp, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, k1_euclid(A)) & m1_subset_1(C, k1_euclid(A))) )  =>  (r2_euclidlp(A, B, C) => r2_euclidlp(A, C, B)) ) ) ).
fof(redefinition_r2_euclidlp, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, k1_euclid(A)) & m1_subset_1(C, k1_euclid(A))) )  =>  (r2_euclidlp(A, B, C) <=> r1_euclidlp(A, B, C)) ) ) ).
fof(symmetry_r3_euclidlp, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, k1_euclid(A)) & m1_subset_1(C, k1_euclid(A))) )  =>  (r3_euclidlp(A, B, C) => r3_euclidlp(A, C, B)) ) ) ).
fof(symmetry_r4_euclidlp, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, k1_euclid(A)) & m1_subset_1(C, k1_euclid(A))) )  =>  (r4_euclidlp(A, B, C) => r4_euclidlp(A, C, B)) ) ) ).
fof(dt_k1_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k1_euclidlp(A), k1_zfmisc_1(k1_zfmisc_1(k1_euclid(A))))) ) ).
fof(dt_k2_euclidlp, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, k1_euclid(A)) & m1_subset_1(C, k1_euclidlp(A))) )  => m1_subset_1(k2_euclidlp(A, B, C), k1_zfmisc_1(k1_numbers))) ) ).
fof(dt_k3_euclidlp, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, k1_euclid(A)) & m1_subset_1(C, k1_euclidlp(A))) )  => v1_xreal_0(k3_euclidlp(A, B, C))) ) ).
fof(symmetry_r5_euclidlp, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, k1_euclidlp(A)) & m1_subset_1(C, k1_euclidlp(A))) )  =>  (r5_euclidlp(A, B, C) => r5_euclidlp(A, C, B)) ) ) ).
fof(symmetry_r6_euclidlp, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, k1_euclidlp(A)) & m1_subset_1(C, k1_euclidlp(A))) )  =>  (r6_euclidlp(A, B, C) => r6_euclidlp(A, C, B)) ) ) ).
fof(dt_k4_euclidlp, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, k1_euclid(A)) &  (m1_subset_1(C, k1_euclid(A)) & m1_subset_1(D, k1_euclid(A))) ) )  => m1_subset_1(k4_euclidlp(A, B, C, D), k1_zfmisc_1(k1_euclid(A)))) ) ).
fof(dt_k5_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k5_euclidlp(A), k1_zfmisc_1(k1_zfmisc_1(k1_euclid(A))))) ) ).
fof(d4_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) => k1_euclidlp(A)=a_1_0_euclidlp(A)) ) ).
fof(d5_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) => k2_euclidlp(A, B, C)=a_3_0_euclidlp(A, B, C)) ) ) ) ) ) ).
fof(t56_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(k1_euclid(A)), k1_euclidlp(A)) =>  (E=k2_euclid_4(A, C, D) => a_4_0_euclidlp(A, B, C, D)=k2_euclidlp(A, B, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) => k4_euclidlp(A, B, C, D)=a_4_1_euclidlp(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(d11_euclidlp, axiom,  (! [A] :  (v7_ordinal1(A) => k5_euclidlp(A)=a_1_1_euclidlp(A)) ) ).
fof(fraenkel_a_1_0_euclidlp, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_0_euclidlp(B)) <=>  (? [C, D] :  ( (m2_finseq_2(C, k1_numbers, k1_euclid(B)) & m2_finseq_2(D, k1_numbers, k1_euclid(B)))  & A=k2_euclid_4(B, C, D)) ) ) ) ) ).
fof(fraenkel_a_3_0_euclidlp, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(B) &  (m2_finseq_2(C, k1_numbers, k1_euclid(B)) & m2_subset_1(D, k1_zfmisc_1(k1_euclid(B)), k1_euclidlp(B))) )  =>  (r2_hidden(A, a_3_0_euclidlp(B, C, D)) <=>  (? [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(B)) &  (A=k12_euclid(k8_euclid(B, C, E)) & r2_tarski(E, D)) ) ) ) ) ) ).
fof(fraenkel_a_4_0_euclidlp, axiom,  (! [A, B, C, D, E] :  ( (v7_ordinal1(B) &  (m2_finseq_2(C, k1_numbers, k1_euclid(B)) &  (m2_finseq_2(D, k1_numbers, k1_euclid(B)) & m2_finseq_2(E, k1_numbers, k1_euclid(B))) ) )  =>  (r2_hidden(A, a_4_0_euclidlp(B, C, D, E)) <=>  (? [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(B)) &  (A=k12_euclid(k8_euclid(B, C, F)) & r2_tarski(F, k2_euclid_4(B, D, E))) ) ) ) ) ) ).
fof(fraenkel_a_4_1_euclidlp, axiom,  (! [A, B, C, D, E] :  ( (v7_ordinal1(B) &  (m2_finseq_2(C, k1_numbers, k1_euclid(B)) &  (m2_finseq_2(D, k1_numbers, k1_euclid(B)) & m2_finseq_2(E, k1_numbers, k1_euclid(B))) ) )  =>  (r2_hidden(A, a_4_1_euclidlp(B, C, D, E)) <=>  (? [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(B)) &  (A=F &  (? [G] :  (v1_xreal_0(G) &  (? [H] :  (v1_xreal_0(H) &  (? [I] :  (v1_xreal_0(I) &  (k2_xcmplx_0(k2_xcmplx_0(G, H), I)=1 & F=k7_euclid(B, k7_euclid(B, k9_euclid(B, C, G), k9_euclid(B, D, H)), k9_euclid(B, E, I))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_1_euclidlp, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_1_euclidlp(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_euclid(B))) &  (A=C &  (? [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(B)) &  (? [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(B)) &  (? [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(B)) & C=k4_euclidlp(B, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_euclmetr, axiom,  (? [A] :  (l2_analmetr(A) &  ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) &  (v4_analmetr(A) &  (v1_euclmetr(A) &  (v2_euclmetr(A) &  (v3_euclmetr(A) &  (v4_euclmetr(A) &  (v5_euclmetr(A) &  (v6_euclmetr(A) & v7_euclmetr(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_euclmetr, axiom,  (? [A] :  (l2_analmetr(A) &  ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) &  (v1_euclmetr(A) &  (v2_euclmetr(A) &  (v3_euclmetr(A) &  (v4_euclmetr(A) &  (v5_euclmetr(A) &  (v6_euclmetr(A) & v7_euclmetr(A)) ) ) ) ) ) ) ) ) ) ).
fof(fc1_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) &  (v2_euclmetr(A) & l2_analmetr(A)) ) )  =>  (v1_analoaf(g1_analoaf(u1_struct_0(A), u1_analoaf(A))) & v2_aff_2(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) ) ) ).
fof(fc2_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) &  (v3_euclmetr(A) & l2_analmetr(A)) ) )  =>  (v1_analoaf(g1_analoaf(u1_struct_0(A), u1_analoaf(A))) & v4_aff_2(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) ) ) ).
fof(fc3_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) &  (v5_euclmetr(A) & l2_analmetr(A)) ) )  =>  (v1_analoaf(g1_analoaf(u1_struct_0(A), u1_analoaf(A))) & v7_aff_2(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) ) ) ).
fof(fc4_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) &  (v6_euclmetr(A) & l2_analmetr(A)) ) )  =>  (v1_analoaf(g1_analoaf(u1_struct_0(A), u1_analoaf(A))) & v11_aff_2(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) ) ) ).
fof(fc5_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) &  (v4_euclmetr(A) & l2_analmetr(A)) ) )  =>  (v1_analoaf(g1_analoaf(u1_struct_0(A), u1_analoaf(A))) & v1_translac(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) ) ) ).
fof(fc6_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) &  (v7_euclmetr(A) & l2_analmetr(A)) ) )  =>  (v1_analoaf(g1_analoaf(u1_struct_0(A), u1_analoaf(A))) & v4_aff_2(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) ) ) ).
fof(fc7_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) &  (v1_euclmetr(A) &  (v3_euclmetr(A) & l2_analmetr(A)) ) ) )  =>  (v1_analoaf(g1_analoaf(u1_struct_0(A), u1_analoaf(A))) & v2_aff_2(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) ) ) ).
fof(fc8_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) &  (v2_euclmetr(A) & l2_analmetr(A)) ) )  =>  (v1_analoaf(g1_analoaf(u1_struct_0(A), u1_analoaf(A))) & v2_aff_2(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) ) ) ).
fof(fc9_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) &  (v3_euclmetr(A) & l2_analmetr(A)) ) )  =>  (v1_analoaf(g1_analoaf(u1_struct_0(A), u1_analoaf(A))) & v4_aff_2(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) ) ) ).
fof(fc10_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) &  (v5_euclmetr(A) & l2_analmetr(A)) ) )  =>  (v1_analoaf(g1_analoaf(u1_struct_0(A), u1_analoaf(A))) & v7_aff_2(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) ) ) ).
fof(fc11_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) &  (v6_euclmetr(A) & l2_analmetr(A)) ) )  =>  (v1_analoaf(g1_analoaf(u1_struct_0(A), u1_analoaf(A))) & v11_aff_2(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) ) ) ).
fof(fc12_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) &  (v4_euclmetr(A) & l2_analmetr(A)) ) )  =>  (v1_analoaf(g1_analoaf(u1_struct_0(A), u1_analoaf(A))) & v1_translac(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) ) ) ).
fof(d1_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  =>  (v1_euclmetr(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r4_analmetr(A, B, C, D, E) & r4_analmetr(A, C, D, B, E))  => r4_analmetr(A, C, E, B, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  =>  (v2_euclmetr(A) <=> v2_aff_2(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) ) ) ).
fof(d3_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  =>  (v3_euclmetr(A) <=> v4_aff_2(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) ) ) ).
fof(d4_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  =>  (v4_euclmetr(A) <=> v1_translac(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) ) ) ).
fof(d5_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  =>  (v5_euclmetr(A) <=> v7_aff_2(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) ) ) ).
fof(d6_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  =>  (v6_euclmetr(A) <=> v11_aff_2(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) ) ) ).
fof(d7_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  =>  (v7_euclmetr(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ( (r4_analmetr(A, B, C, B, D) &  (r4_analmetr(A, B, E, B, F) &  (r4_analmetr(A, B, G, B, H) &  (r4_analmetr(A, C, E, D, F) & r4_analmetr(A, C, G, D, H)) ) ) )  =>  (r2_analoaf(A, B, G, B, C) |  (r2_analoaf(A, B, C, B, E) | r4_analmetr(A, E, G, F, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ~ (r5_analmetr(A, B, C, D))  =>  ( ~ (B=C)  &  ( ~ (C=D)  &  ~ (B=D) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r6_analmetr(A, B, C, F) & r6_analmetr(A, D, E, F))  =>  (r2_analoaf(A, B, C, D, E) & r2_analoaf(A, B, C, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  (r6_analmetr(A, B, C, D) =>  (B=C |  ( ( ~ (r6_analmetr(A, B, C, E))  &  ~ (r6_analmetr(A, C, B, E)) )  | r9_analmetr(A, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r5_analmetr(A, B, C, D) =>  (r5_analmetr(A, B, D, C) &  (r5_analmetr(A, C, B, D) &  (r5_analmetr(A, C, D, B) &  (r5_analmetr(A, D, B, C) & r5_analmetr(A, D, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (r5_analmetr(A, B, C, D))  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r4_analmetr(A, E, B, C, D) & r4_analmetr(A, E, C, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r4_analmetr(A, E, B, C, D) &  (r4_analmetr(A, E, C, B, D) &  (r4_analmetr(A, F, B, C, D) & r4_analmetr(A, F, C, B, D)) ) )  =>  (r5_analmetr(A, B, C, D) | E=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r4_analmetr(A, B, C, D, E) &  (r4_analmetr(A, C, D, B, E) &  (r5_analmetr(A, B, C, D) &  ( ~ (B=D)  &  ( ~ (B=C)  &  ~ (C=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v1_euclmetr(A) <=> v3_conaffm(A)) ) ) ).
fof(t9_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v7_euclmetr(A) <=> v4_conaffm(A)) ) ) ).
fof(t10_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v2_euclmetr(A) <=> v2_conmetr(A)) ) ) ).
fof(t11_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v3_euclmetr(A) <=> v1_conaffm(A)) ) ) ).
fof(t12_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v5_euclmetr(A) <=> v5_conmetr(A)) ) ) ).
fof(t13_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v6_euclmetr(A) <=> v8_conmetr(A)) ) ) ).
fof(t14_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (v7_euclmetr(A) => v3_euclmetr(A)) ) ) ).
fof(t15_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  ( (v1_euclmetr(A) & v3_euclmetr(A))  => v2_euclmetr(A)) ) ) ).
fof(t16_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r4_analmetr(A, B, C, B, D) &  (r4_analmetr(A, B, E, B, F) &  (r4_analmetr(A, B, E, B, G) &  (r4_analmetr(A, C, E, D, F) & r4_analmetr(A, C, E, D, G)) ) ) )  =>  (r5_analmetr(A, B, C, E) |  (B=D | F=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (r5_analmetr(A, B, C, E))  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r4_analmetr(A, B, E, B, F) & r4_analmetr(A, C, E, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( (r1_analmetr(A, B, C) &  ( ~ (k4_struct_0(A)=D)  &  ( ~ (k4_struct_0(A)=E)  &  (r2_analmetr(A, D, E, B, C) &  (D=k3_rlvect_1(A, k1_rlvect_1(A, B, F), k1_rlvect_1(A, C, G)) &  (! [H] :  (v1_xreal_0(H) =>  ~ ( ( ~ (H=k5_numbers)  & E=k3_rlvect_1(A, k1_rlvect_1(A, B, k3_xcmplx_0(H, G)), k1_rlvect_1(A, C, k4_xcmplx_0(k3_xcmplx_0(H, F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r1_analmetr(A, B, C) &  ( ~ (k4_struct_0(A)=D)  &  ( ~ (k4_struct_0(A)=E)  &  (r2_analmetr(A, D, E, B, C) &  (! [F] :  (v1_xreal_0(F) =>  ~ ( (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (r2_analmetr(A, k3_rlvect_1(A, k1_rlvect_1(A, B, G), k1_rlvect_1(A, C, H)), k3_rlvect_1(A, k1_rlvect_1(A, B, k3_xcmplx_0(F, H)), k1_rlvect_1(A, C, k4_xcmplx_0(k3_xcmplx_0(F, G)))), B, C) & r2_analmetr(A, k5_algstr_0(A, k3_rlvect_1(A, k1_rlvect_1(A, B, G), k1_rlvect_1(A, C, H)), D), k5_algstr_0(A, k3_rlvect_1(A, k1_rlvect_1(A, B, k3_xcmplx_0(F, H)), k1_rlvect_1(A, C, k4_xcmplx_0(k3_xcmplx_0(F, G)))), E), B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  ( (r1_analmetr(B, C, D) & A=k2_analmetr(B, C, D))  => v5_conaffm(A)) ) ) ) ) ) ) ) ) ).
fof(t21_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ( (r4_analmetr(A, B, E, B, F) &  (r4_analmetr(A, B, G, B, H) &  (r4_analmetr(A, C, E, D, F) &  (r4_analmetr(A, C, G, D, H) & B=D) ) ) )  =>  (r2_analoaf(A, B, G, B, C) |  (r2_analoaf(A, B, C, B, E) | r4_analmetr(A, E, G, F, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  ( (r1_analmetr(B, C, D) & A=k2_analmetr(B, C, D))  => v7_euclmetr(A)) ) ) ) ) ) ) ) ) ).
fof(t23_euclmetr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) & l2_analmetr(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  ( (r1_analmetr(B, C, D) & A=k2_analmetr(B, C, D))  =>  ( ~ (v2_struct_0(A))  &  (v4_analmetr(A) &  (v1_euclmetr(A) &  (v2_euclmetr(A) &  (v3_euclmetr(A) &  (v4_euclmetr(A) &  (v5_euclmetr(A) &  (v6_euclmetr(A) &  (v7_euclmetr(A) & l2_analmetr(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_euler_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_int_2(A, A) <=> A=1) ) ) ).
fof(t2_euler_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (v1_int_2(B) =>  (A=k5_numbers |  (r1_xxreal_0(B, A) | r1_int_2(A, B)) ) ) ) ) ) ) ).
fof(t4_euler_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (r2_tarski(B, A) => k4_card_1(k6_subset_1(A, k1_tarski(B)))=k6_xcmplx_0(k4_card_1(A), k4_card_1(k1_tarski(B)))) ) ) ) ).
fof(t5_euler_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (k3_int_2(A, B)=1 =>  (! [C] :  (v7_ordinal1(C) => k3_int_2(k3_xcmplx_0(A, C), k3_xcmplx_0(B, C))=C) ) ) ) ) ) ) ).
fof(t6_euler_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (k3_int_2(k3_xcmplx_0(A, C), k3_xcmplx_0(B, C))=C =>  (A=k5_numbers |  (C=k5_numbers | r1_int_2(A, B)) ) ) ) ) ) ) ) ) ).
fof(t7_euler_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (k3_int_2(A, B)=1 => k3_int_2(k2_xcmplx_0(A, B), B)=1) ) ) ) ) ).
fof(t8_euler_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k3_int_2(k2_xcmplx_0(A, k3_xcmplx_0(B, C)), B)=k3_int_2(A, B)) ) ) ) ) ) ).
fof(t9_euler_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_int_2(A, B) &  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( (? [D] :  (v1_int_1(D) &  (? [E] :  (v1_int_1(E) &  (C=k2_xcmplx_0(k3_xcmplx_0(D, A), k3_xcmplx_0(E, B)) &  ~ (r1_xxreal_0(C, k5_numbers)) ) ) ) ) )  &  (! [D] :  (v7_ordinal1(D) =>  ( (? [E] :  (v1_int_1(E) &  (? [F] :  (v1_int_1(F) &  (D=k2_xcmplx_0(k3_xcmplx_0(E, A), k3_xcmplx_0(F, B)) &  ~ (r1_xxreal_0(D, k5_numbers)) ) ) ) ) )  => r1_xxreal_0(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_euler_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_int_2(A, B) =>  (! [C] :  (v7_ordinal1(C) =>  (? [D] :  (v1_int_1(D) &  (? [E] :  (v1_int_1(E) & k2_xcmplx_0(k3_xcmplx_0(D, A), k3_xcmplx_0(E, B))=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_euler_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v3_funct_2(C, A, B) => k1_card_1(A)=k1_card_1(B)) ) ) ) ) ) ).
fof(t12_euler_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) => k5_int_1(k2_xcmplx_0(A, k3_xcmplx_0(B, C)), C)=k5_int_1(A, C)) ) ) ) ) ) ).
fof(t13_euler_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_nat_d(C, k3_xcmplx_0(A, B)) & r1_int_2(A, C))  => r1_nat_d(C, B)) ) ) ) ) ) ) ).
fof(t14_euler_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_int_2(A, C) & r1_int_2(B, C))  =>  (A=k5_numbers |  (C=k5_numbers | r1_int_2(k3_xcmplx_0(A, B), C)) ) ) ) ) ) ) ) ) ).
fof(t15_euler_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (r1_xxreal_0(k5_numbers, A) =>  (B=k5_numbers | k3_int_2(k3_xcmplx_0(A, B), k3_xcmplx_0(A, C))=k3_xcmplx_0(A, k3_int_2(B, C))) ) ) ) ) ) ) ) ).
fof(t16_euler_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_int_1(C) =>  ( ~ (A=k5_numbers)  => k3_int_2(k2_xcmplx_0(A, k3_xcmplx_0(C, B)), B)=k3_int_2(A, B)) ) ) ) ) ) ) ).
fof(t17_euler_1, axiom, k1_euler_1(1)=1).
fof(t18_euler_1, axiom, k1_euler_1(2)=1).
fof(t19_euler_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, 1))  => r1_xxreal_0(k1_euler_1(A), k6_xcmplx_0(A, 1))) ) ) ).
fof(t20_euler_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_int_2(A) => k1_euler_1(A)=k6_xcmplx_0(A, 1)) ) ) ).
fof(t21_euler_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_int_2(A, B) =>  (r1_xxreal_0(A, 1) |  (r1_xxreal_0(B, 1) | k1_euler_1(k3_xcmplx_0(A, B))=k2_nat_1(k1_euler_1(A), k1_euler_1(B))) ) ) ) ) ) ) ).
fof(dt_k1_euler_1, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k1_euler_1(A), k4_ordinal1)) ) ).
fof(t3_euler_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ( (v1_int_2(B) & r2_tarski(A, a_1_0_euler_1(B)))  =>  (v1_int_2(B) &  (r2_tarski(A, k5_card_1(B)) &  ~ (r2_tarski(A, k1_tarski(k5_numbers))) ) ) )  &  ( (v1_int_2(B) & r2_tarski(A, k5_card_1(B)))  =>  (r2_tarski(A, k1_tarski(k5_numbers)) |  (v1_int_2(B) & r2_tarski(A, a_1_0_euler_1(B))) ) ) ) ) ) ) ) ).
fof(d1_euler_1, axiom,  (! [A] :  (v7_ordinal1(A) => k1_euler_1(A)=k1_card_1(a_1_0_euler_1(A))) ) ).
fof(fraenkel_a_1_0_euler_1, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_0_euler_1(B)) <=>  (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (A=C &  (r1_int_2(B, C) &  (r1_xxreal_0(1, C) & r1_xxreal_0(C, B)) ) ) ) ) ) ) ) ).
fof(t1_euler_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_int_2(A, B) <=> r1_int_2(A, B)) ) ) ) ) ).
fof(t2_euler_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  (r1_xxreal_0(1, k3_xcmplx_0(A, B)) => r1_xxreal_0(1, B)) ) ) ) ) ).
fof(t3_euler_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_int_2(A, C) & r1_int_2(B, C))  =>  (A=k5_numbers |  (B=k5_numbers |  (C=k5_numbers | r1_int_2(C, k4_nat_d(k3_xcmplx_0(A, B), C))) ) ) ) ) ) ) ) ) ) ).
fof(t4_euler_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_int_2(C, D) & D=k4_nat_d(k3_xcmplx_0(A, B), C))  =>  (r1_xxreal_0(C, 1) | r1_int_2(C, B)) ) ) ) ) ) ) ) ) ) ).
fof(t5_euler_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k4_nat_d(k4_nat_d(A, B), B)=k4_nat_d(A, B)) ) ) ) ).
fof(t6_euler_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k4_nat_d(k2_xcmplx_0(C, A), B)=k4_nat_d(k1_nat_1(k4_nat_d(C, B), k4_nat_d(A, B)), B)) ) ) ) ) ) ).
fof(t7_euler_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k4_nat_d(k3_xcmplx_0(C, A), B)=k4_nat_d(k3_xcmplx_0(C, k4_nat_d(A, B)), B)) ) ) ) ) ) ).
fof(t8_euler_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k4_nat_d(k3_xcmplx_0(C, A), B)=k4_nat_d(k3_xcmplx_0(k4_nat_d(C, B), A), B)) ) ) ) ) ) ).
fof(t9_euler_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k4_nat_d(k3_xcmplx_0(C, A), B)=k4_nat_d(k2_nat_1(k4_nat_d(C, B), k4_nat_d(A, B)), B)) ) ) ) ) ) ).
fof(t10_euler_2, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (r2_classes1(A, B) => k2_wsierp_1(A)=k2_wsierp_1(B)) ) ) ) ) ).
fof(d1_euler_2, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (C=k2_euler_2(A, B) <=>  (k3_finseq_1(C)=k3_finseq_1(A) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(A)) => k1_recdef_1(C, D)=k4_nat_d(k1_recdef_1(A, D), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_euler_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  ( ~ (A=k5_numbers)  => k4_nat_d(k2_wsierp_1(k2_euler_2(B, A)), A)=k4_nat_d(k2_wsierp_1(B), A)) ) ) ) ) ).
fof(t12_euler_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (k4_nat_d(k3_xcmplx_0(A, C), B)=k4_nat_d(C, B) & r1_int_2(B, C))  =>  (A=k5_numbers |  (r1_xxreal_0(B, 1) | k4_nat_d(A, B)=1) ) ) ) ) ) ) ) ) ).
fof(t13_euler_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) => k2_euler_2(k2_euler_2(B, A), A)=k2_euler_2(B, A)) ) ) ) ).
fof(t14_euler_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) => k2_euler_2(k1_euler_2(k2_euler_2(C, B), A), B)=k2_euler_2(k1_euler_2(C, A), B)) ) ) ) ) ) ).
fof(t15_euler_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) => k2_euler_2(k8_finseq_1(k4_ordinal1, B, C), A)=k8_finseq_1(k4_ordinal1, k2_euler_2(B, A), k2_euler_2(C, A))) ) ) ) ) ) ).
fof(t16_euler_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) => k2_euler_2(k1_euler_2(k8_finseq_1(k4_ordinal1, C, D), A), B)=k8_finseq_1(k4_ordinal1, k2_euler_2(k1_euler_2(C, A), B), k2_euler_2(k1_euler_2(D, A), B))) ) ) ) ) ) ) ) ).
fof(t17_euler_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_int_2(A, B) =>  (A=k5_numbers |  (B=k5_numbers |  (! [C] :  (v7_ordinal1(C) => r1_int_2(k1_newton(A, C), B)) ) ) ) ) ) ) ) ) ).
fof(t18_euler_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_int_2(A, B) =>  (A=k5_numbers |  (r1_xxreal_0(B, 1) | k4_nat_d(k1_newton(A, k1_euler_1(B)), B)=1) ) ) ) ) ) ) ).
fof(t19_euler_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (v1_int_2(B) & r1_int_2(A, B))  =>  (A=k5_numbers | k4_nat_d(k1_newton(A, B), B)=k4_nat_d(A, B)) ) ) ) ) ) ).
fof(dt_k1_euler_2, axiom,  (! [A, B] :  ( (m1_finseq_1(A, k4_ordinal1) & v7_ordinal1(B))  => m2_finseq_1(k1_euler_2(A, B), k4_ordinal1)) ) ).
fof(redefinition_k1_euler_2, axiom,  (! [A, B] :  ( (m1_finseq_1(A, k4_ordinal1) & v7_ordinal1(B))  => k1_euler_2(A, B)=k24_valued_1(A, B)) ) ).
fof(dt_k2_euler_2, axiom,  (! [A, B] :  ( (m1_finseq_1(A, k4_ordinal1) & v7_ordinal1(B))  => m2_finseq_1(k2_euler_2(A, B), k4_ordinal1)) ) ).
fof(fc1_eulrpart, axiom,  (! [A] :  (v1_xxreal_0(A) => v2_valued_0(k5_finseq_1(A))) ) ).
fof(fc2_eulrpart, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (v5_valued_0(k5_finseq_1(A)) &  (v6_valued_0(k5_finseq_1(A)) &  (v7_valued_0(k5_finseq_1(A)) & v8_valued_0(k5_finseq_1(A))) ) ) ) ) ).
fof(cc1_eulrpart, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_eulrpart(A))  =>  (v1_relat_1(A) &  (v9_ordinal1(A) & v4_valued_0(A)) ) ) ) ).
fof(cc2_eulrpart, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v1_eulrpart(A)) ) ) ).
fof(fc3_eulrpart, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_abian(A)) )  => v1_eulrpart(k5_finseq_1(A))) ) ).
fof(fc4_eulrpart, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_eulrpart(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_eulrpart(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v1_finseq_1(k7_finseq_1(A, B)) & v1_eulrpart(k7_finseq_1(A, B))) ) ) ) ) ).
fof(cc3_eulrpart, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k4_fib_num2))  =>  (v1_relat_1(A) & v1_eulrpart(A)) ) ) ).
fof(rc1_eulrpart, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (m1_eulrpart(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k3_numbers) &  (v9_ordinal1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) &  (v4_valued_0(B) &  (v7_valued_0(B) &  (v2_pre_poly(B) & v1_eulrpart(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_eulrpart, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (m1_eulrpart(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k3_numbers) &  (v9_ordinal1(B) &  (v1_funct_1(B) &  (v2_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) &  (v4_valued_0(B) &  (v7_valued_0(B) & v2_pre_poly(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc4_eulrpart, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_funct_1(A) &  (v3_valued_0(A) & v7_valued_0(A)) ) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) & v5_valued_0(A)) ) ) ) ) ).
fof(t1_eulrpart, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) &  (v2_valued_0(A) & v7_valued_0(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) &  (v2_valued_0(B) & v7_valued_0(B)) ) ) )  =>  (r1_xxreal_0(k1_funct_1(A, k3_finseq_1(A)), k1_funct_1(B, 1)) => v7_valued_0(k7_finseq_1(A, B))) ) ) ) ) ).
fof(d1_eulrpart, axiom,  (! [A] :  (v1_relat_1(A) =>  (v1_eulrpart(A) <=> r1_tarski(k10_xtuple_0(A), k4_fib_num2)) ) ) ).
fof(t2_eulrpart, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r2_tarski(A, k4_fib_num2) <=>  ~ (v1_abian(A)) ) ) ) ).
fof(d2_eulrpart, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_eulrpart(A) <=>  (! [B] :  (r2_hidden(B, k9_xtuple_0(A)) =>  (v7_ordinal1(k1_funct_1(A, B)) &  ~ (v1_abian(k1_funct_1(A, B))) ) ) ) ) ) ) ).
fof(d3_eulrpart, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v9_ordinal1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) &  (v4_valued_0(B) & v7_valued_0(B)) ) ) ) )  =>  (m1_eulrpart(B, A) <=> k16_rvsum_1(B)=A) ) ) ) ) ).
fof(t3_eulrpart, axiom, m1_eulrpart(k1_xboole_0, k5_numbers)).
fof(d4_eulrpart, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_eulrpart(A)) ) )  =>  (! [B] :  (m2_flexary1(B, A) =>  (m2_eulrpart(B, A) <=>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k3_finseq_1(k1_funct_1(B, C))) &  ~ (k6_xcmplx_0(k3_xcmplx_0(2, C), 1)=k1_funct_1(A, k5_flexary1(B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_eulrpart, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_eulrpart(A)) ) )  =>  (! [B] :  (m1_flexary1(B, k4_finseq_1(A)) =>  ( (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k3_finseq_1(k1_funct_1(B, C))) &  ~ (k6_xcmplx_0(k3_xcmplx_0(2, C), 1)=k1_funct_1(A, k5_flexary1(B, C, D))) ) ) ) ) ) ) )  => m2_eulrpart(B, A)) ) ) ) ) ).
fof(t5_eulrpart, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_eulrpart(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) & v1_valued_0(C)) ) )  =>  (! [D] :  (m1_flexary1(D, k4_finseq_1(C)) =>  (! [E] :  (m1_flexary1(E, k4_finseq_1(C)) =>  ( (m2_eulrpart(D, B) & m2_eulrpart(E, B))  => k1_funct_1(k6_flexary1(k6_fomodel2(D, C)), A)=k1_funct_1(k6_flexary1(k6_fomodel2(E, C)), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_eulrpart, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_eulrpart(B, A) =>  (? [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) & v1_eulrpart(C)) ) )  &  (? [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v1_finseq_1(D) & v4_valued_0(D)) ) )  &  (k3_finseq_1(C)=k3_finseq_1(B) &  (k3_finseq_1(B)=k3_finseq_1(D) &  (B=k18_valued_1(C, k4_flexary1(2, D)) &  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, k3_finseq_1(B)) &  ~ (k1_funct_1(B, E)=k3_xcmplx_0(k1_funct_1(C, E), k1_newton(2, k1_funct_1(D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_eulrpart, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (? [C] :  (m2_finseq_1(C, A) &  (! [D] :  (m1_subset_1(D, A) => k4_card_1(k10_relat_1(C, D))=k1_funct_1(B, D)) ) ) ) ) ) ) ) ).
fof(t8_eulrpart, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_valued_0(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_valued_0(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) & v1_valued_0(C)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v1_finseq_1(D) & v1_valued_0(D)) ) )  =>  (k3_finseq_1(A)=k3_finseq_1(C) => k18_valued_1(k7_finseq_1(A, B), k7_finseq_1(C, D))=k7_finseq_1(k18_valued_1(A, C), k18_valued_1(B, D))) ) ) ) ) ) ) ) ) ).
fof(t9_eulrpart, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v4_valued_0(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v4_valued_0(B)) ) )  =>  ( (! [C] :  (v7_ordinal1(C) => k4_card_1(k10_relat_1(B, C))=k1_funct_1(A, C)) )  => k16_rvsum_1(B)=k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(1, k1_funct_1(A, 1)), k3_xcmplx_0(2, k1_funct_1(A, 2))), k2_flexary1(3, k18_valued_1(k4_relat_1(k4_finseq_1(A)), A)))) ) ) ) ) ).
fof(t10_eulrpart, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v4_valued_0(A)) ) )  =>  (! [B] :  (m1_flexary1(B, k4_finseq_1(A)) =>  (? [C] :  ( (v3_card_1(C, k2_nat_1(2, k3_finseq_1(B))) & m2_finseq_1(C, k4_ordinal1))  &  (! [D] :  (v7_ordinal1(D) =>  (k1_funct_1(C, k3_xcmplx_0(2, D))=k5_numbers & k1_funct_1(C, k6_xcmplx_0(k3_xcmplx_0(2, D), 1))=k2_xcmplx_0(k1_funct_1(A, k5_flexary1(B, D, 1)), k3_flexary1(2, k1_funct_1(k6_fomodel2(B, A), D)))) ) ) ) ) ) ) ) ) ).
fof(t11_eulrpart, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_funct_1(B) & m1_eulrpart(B, A))  =>  (? [C] :  ( (v1_eulrpart(C) & m1_eulrpart(C, A))  &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) &  (v1_finseq_1(E) & v1_eulrpart(E)) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) &  (v1_finseq_1(F) & v4_valued_0(F)) ) )  =>  ( (k3_finseq_1(E)=k3_finseq_1(B) &  (k3_finseq_1(B)=k3_finseq_1(F) & B=k18_valued_1(E, k4_flexary1(2, F))) )  =>  (! [G] :  (m1_flexary1(G, k4_finseq_1(B)) =>  ( ( (! [H] :  (v7_ordinal1(H) =>  ~ ( (r1_xxreal_0(1, H) &  (r1_xxreal_0(H, k3_finseq_1(k1_funct_1(G, 1))) &  ~ (1=k1_funct_1(E, k5_flexary1(G, 1, H))) ) ) ) ) )  &  ( (! [H] :  (v7_ordinal1(H) =>  ~ ( (r1_xxreal_0(1, H) &  (r1_xxreal_0(H, k3_finseq_1(k1_funct_1(G, 2))) &  ~ (3=k1_funct_1(E, k5_flexary1(G, 2, H))) ) ) ) ) )  &  ( (! [H] :  (v7_ordinal1(H) =>  ~ ( (r1_xxreal_0(1, H) &  (r1_xxreal_0(H, k3_finseq_1(k1_funct_1(G, 3))) &  ~ (5=k1_funct_1(E, k5_flexary1(G, 3, H))) ) ) ) ) )  &  (! [H] :  (v7_ordinal1(H) =>  (! [I] :  (v7_ordinal1(I) =>  ~ ( (r1_xxreal_0(1, I) &  (r1_xxreal_0(I, k3_finseq_1(k1_funct_1(G, H))) &  ~ (k6_xcmplx_0(k3_xcmplx_0(2, H), 1)=k1_funct_1(E, k5_flexary1(G, H, I))) ) ) ) ) ) ) ) ) ) )  =>  (k4_card_1(k10_relat_1(C, 1))=k2_xcmplx_0(k1_funct_1(k4_flexary1(2, F), k5_flexary1(G, 1, 1)), k2_flexary1(2, k1_funct_1(k6_fomodel2(G, k4_flexary1(2, F)), 1))) &  (k4_card_1(k10_relat_1(C, 3))=k2_xcmplx_0(k1_funct_1(k4_flexary1(2, F), k5_flexary1(G, 2, 1)), k2_flexary1(2, k1_funct_1(k6_fomodel2(G, k4_flexary1(2, F)), 2))) &  (k4_card_1(k10_relat_1(C, 5))=k2_xcmplx_0(k1_funct_1(k4_flexary1(2, F), k5_flexary1(G, 3, 1)), k2_flexary1(2, k1_funct_1(k6_fomodel2(G, k4_flexary1(2, F)), 3))) & k4_card_1(k10_relat_1(C, k6_xcmplx_0(k3_xcmplx_0(D, 2), 1)))=k2_xcmplx_0(k1_funct_1(k4_flexary1(2, F), k5_flexary1(G, D, 1)), k2_flexary1(2, k1_funct_1(k6_fomodel2(G, k4_flexary1(2, F)), D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_eulrpart, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_funct_1(B) & m1_eulrpart(B, A))  =>  (! [C] :  ( (v1_eulrpart(C) & m1_eulrpart(C, A))  =>  (C=k1_eulrpart(A, B) <=>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) &  (v1_finseq_1(E) & v1_eulrpart(E)) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) &  (v1_finseq_1(F) & v4_valued_0(F)) ) )  =>  ( (k3_finseq_1(E)=k3_finseq_1(B) &  (k3_finseq_1(B)=k3_finseq_1(F) & B=k18_valued_1(E, k4_flexary1(2, F))) )  =>  (! [G] :  (m1_flexary1(G, k4_finseq_1(B)) =>  ( ( (! [H] :  (v7_ordinal1(H) =>  ~ ( (r1_xxreal_0(1, H) &  (r1_xxreal_0(H, k3_finseq_1(k1_funct_1(G, 1))) &  ~ (1=k1_funct_1(E, k5_flexary1(G, 1, H))) ) ) ) ) )  &  ( (! [H] :  (v7_ordinal1(H) =>  ~ ( (r1_xxreal_0(1, H) &  (r1_xxreal_0(H, k3_finseq_1(k1_funct_1(G, 2))) &  ~ (3=k1_funct_1(E, k5_flexary1(G, 2, H))) ) ) ) ) )  &  ( (! [H] :  (v7_ordinal1(H) =>  ~ ( (r1_xxreal_0(1, H) &  (r1_xxreal_0(H, k3_finseq_1(k1_funct_1(G, 3))) &  ~ (5=k1_funct_1(E, k5_flexary1(G, 3, H))) ) ) ) ) )  &  (! [H] :  (v7_ordinal1(H) =>  (! [I] :  (v7_ordinal1(I) =>  ~ ( (r1_xxreal_0(1, I) &  (r1_xxreal_0(I, k3_finseq_1(k1_funct_1(G, H))) &  ~ (k6_xcmplx_0(k3_xcmplx_0(2, H), 1)=k1_funct_1(E, k5_flexary1(G, H, I))) ) ) ) ) ) ) ) ) ) )  =>  (k4_card_1(k10_relat_1(C, 1))=k2_xcmplx_0(k1_funct_1(k4_flexary1(2, F), k5_flexary1(G, 1, 1)), k2_flexary1(2, k1_funct_1(k6_fomodel2(G, k4_flexary1(2, F)), 1))) &  (k4_card_1(k10_relat_1(C, 3))=k2_xcmplx_0(k1_funct_1(k4_flexary1(2, F), k5_flexary1(G, 2, 1)), k2_flexary1(2, k1_funct_1(k6_fomodel2(G, k4_flexary1(2, F)), 2))) &  (k4_card_1(k10_relat_1(C, 5))=k2_xcmplx_0(k1_funct_1(k4_flexary1(2, F), k5_flexary1(G, 3, 1)), k2_flexary1(2, k1_funct_1(k6_fomodel2(G, k4_flexary1(2, F)), 3))) & k4_card_1(k10_relat_1(C, k6_xcmplx_0(k3_xcmplx_0(D, 2), 1)))=k2_xcmplx_0(k1_funct_1(k4_flexary1(2, F), k5_flexary1(G, D, 1)), k2_flexary1(2, k1_funct_1(k6_fomodel2(G, k4_flexary1(2, F)), D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_eulrpart, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_funct_1(B) & m1_eulrpart(B, A))  =>  (! [C] :  ( (v1_eulrpart(C) & m1_eulrpart(C, A))  =>  (C=k1_eulrpart(A, B) <=>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v1_finseq_1(D) & v1_eulrpart(D)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) &  (v1_finseq_1(E) & v4_valued_0(E)) ) )  =>  (! [F] :  (m2_eulrpart(F, D) =>  ( (k3_finseq_1(D)=k3_finseq_1(B) &  (k3_finseq_1(B)=k3_finseq_1(E) & B=k18_valued_1(D, k4_flexary1(2, E))) )  =>  (! [G] :  (v7_ordinal1(G) => k4_card_1(k10_relat_1(C, k6_xcmplx_0(k3_xcmplx_0(G, 2), 1)))=k2_flexary1(1, k1_funct_1(k6_fomodel2(F, k4_flexary1(2, E)), G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_eulrpart, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_eulrpart(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) & v4_valued_0(C)) ) )  =>  (! [D] :  (m2_eulrpart(D, B) =>  ( (k3_finseq_1(B)=k3_finseq_1(C) & v2_funct_1(k18_valued_1(B, k4_flexary1(2, C))))  => v2_funct_1(k1_funct_1(k6_fomodel2(D, C), A))) ) ) ) ) ) ) ) ) ).
fof(t14_eulrpart, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_funct_1(B) & m1_eulrpart(B, A))  =>  (! [C] :  ( (v2_funct_1(C) & m1_eulrpart(C, A))  =>  (k1_eulrpart(A, B)=k1_eulrpart(A, C) => B=C) ) ) ) ) ) ) ).
fof(t15_eulrpart, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_eulrpart(B) & m1_eulrpart(B, A))  =>  (? [C] :  ( (v2_funct_1(C) & m1_eulrpart(C, A))  & B=k1_eulrpart(A, C)) ) ) ) ) ) ).
fof(dt_m1_eulrpart, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_eulrpart(B, A) =>  (v1_relat_1(B) &  (v9_ordinal1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) &  (v4_valued_0(B) & v7_valued_0(B)) ) ) ) ) ) ) ) ) ).
fof(existence_m1_eulrpart, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] : m1_eulrpart(B, A)) ) ) ).
fof(dt_m2_eulrpart, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_eulrpart(A)) ) )  =>  (! [B] :  (m2_eulrpart(B, A) => m2_flexary1(B, A)) ) ) ) ).
fof(existence_m2_eulrpart, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_eulrpart(A)) ) )  =>  (? [B] : m2_eulrpart(B, A)) ) ) ).
fof(dt_k1_eulrpart, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v2_funct_1(B) & m1_eulrpart(B, A)) )  =>  (v1_eulrpart(k1_eulrpart(A, B)) & m1_eulrpart(k1_eulrpart(A, B), A)) ) ) ).
fof(t16_eulrpart, axiom,  (! [A] :  (v7_ordinal1(A) => k1_card_1(a_1_0_eulrpart(A))=k1_card_1(a_1_1_eulrpart(A))) ) ).
fof(fraenkel_a_1_0_eulrpart, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_0_eulrpart(B)) <=>  (? [C] :  ( (v1_eulrpart(C) & m1_eulrpart(C, B))  & A=C) ) ) ) ) ).
fof(fraenkel_a_1_1_eulrpart, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_1_eulrpart(B)) <=>  (? [C] :  ( (v2_funct_1(C) & m1_eulrpart(C, B))  & A=C) ) ) ) ) ).
fof(cc1_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_exchsort(A)) ) ) ) ).
fof(cc2_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_exchsort(A)) ) ) ) ).
fof(cc3_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_exchsort(A, k5_numbers)) ) ) ) ).
fof(cc4_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_exchsort(A, 1)) ) ) ) ).
fof(rc1_exchsort, axiom,  (! [A, B, C] :  (v3_ordinal1(A) =>  (? [D] :  (v1_relat_1(D) &  (v4_relat_1(D, C) &  (v5_relat_1(D, B) &  (v5_ordinal1(D) &  (v1_funct_1(D) &  (v1_xboole_0(D) &  (v1_finset_1(D) &  (v1_exchsort(D) &  (v2_exchsort(D, A) & v2_exchsort(D, k5_numbers)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_exchsort(A)) )  => v1_ordinal6(k9_xtuple_0(A))) ) ).
fof(cc5_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_exchsort(A) & v2_exchsort(A, k5_numbers)) ) )  =>  (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_exchsort(A)) ) ) ) ) ).
fof(rc2_exchsort, axiom,  (! [A, B, C] :  ( (v3_ordinal1(A) & v3_ordinal1(B))  =>  (? [D] :  (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v5_relat_1(D, C) &  (v5_relat_1(D, k4_numbers) &  (v1_funct_1(D) &  (v1_valued_0(D) &  (v3_valued_0(D) &  (v4_valued_0(D) &  (v1_finset_1(D) &  (v1_exchsort(D) & v2_exchsort(D, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc2_exchsort, axiom,  (! [A, B] :  (v3_ordinal1(A) => v1_exchsort(k1_tarski(k4_tarski(A, B)))) ) ).
fof(fc3_exchsort, axiom,  (! [A, B] :  ( (v3_ordinal1(A) & v7_ordinal1(B))  =>  (v1_relat_1(k1_tarski(k4_tarski(A, B))) &  (v1_funct_1(k1_tarski(k4_tarski(A, B))) &  (v4_valued_0(k1_tarski(k4_tarski(A, B))) & v1_exchsort(k1_tarski(k4_tarski(A, B)))) ) ) ) ) ).
fof(fc4_exchsort, axiom,  (! [A, B] :  ( (v3_ordinal1(A) & v1_xreal_0(B))  =>  (v1_relat_1(k1_tarski(k4_tarski(A, B))) &  (v1_funct_1(k1_tarski(k4_tarski(A, B))) &  (v3_valued_0(k1_tarski(k4_tarski(A, B))) & v1_exchsort(k1_tarski(k4_tarski(A, B)))) ) ) ) ) ).
fof(fc5_exchsort, axiom,  (! [A, B, C] :  ( (v3_ordinal1(A) &  ( ~ (v1_xboole_0(B))  & m1_subset_1(C, B)) )  =>  (v1_relat_1(k1_tarski(k4_tarski(A, C))) &  (v5_relat_1(k1_tarski(k4_tarski(A, C)), B) &  (v1_funct_1(k1_tarski(k4_tarski(A, C))) & v1_exchsort(k1_tarski(k4_tarski(A, C)))) ) ) ) ) ).
fof(fc6_exchsort, axiom,  (! [A, B] :  (v3_ordinal1(A) =>  (v1_relat_1(k1_tarski(k4_tarski(A, B))) &  (v1_funct_1(k1_tarski(k4_tarski(A, B))) &  (v1_exchsort(k1_tarski(k4_tarski(A, B))) &  (v2_exchsort(k1_tarski(k4_tarski(A, B)), A) & v3_exchsort(k1_tarski(k4_tarski(A, B)), k1_ordinal1(A))) ) ) ) ) ) ).
fof(rc3_exchsort, axiom,  (! [A] :  (v3_ordinal1(A) =>  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, k4_numbers) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_valued_0(B) &  (v3_valued_0(B) &  (v4_valued_0(B) &  (v1_finset_1(B) &  (v1_exchsort(B) & v2_exchsort(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc4_exchsort, axiom,  (! [A, B] :  ( (v3_ordinal1(A) &  ~ (v1_xboole_0(B)) )  =>  (? [C] :  (v1_relat_1(C) &  (v5_relat_1(C, B) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v1_finset_1(C) &  (v1_exchsort(C) & v2_exchsort(C, A)) ) ) ) ) ) ) ) ) ).
fof(ie1_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) )  => k1_ordinal2(A)=k4_exchsort(A)) ) ).
fof(fc7_exchsort, axiom,  (! [A, B, C, D] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) & v1_funct_1(B)) )  => v4_relat_1(k9_funct_7(B, C, D), A)) ) ).
fof(fc8_exchsort, axiom,  (! [A, B, C, D] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  => v5_relat_1(k9_funct_7(B, C, D), A)) ) ).
fof(rc5_exchsort, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v2_funct_2(B, A)) ) ) ) ) ) ) ).
fof(fc9_exchsort, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v2_funct_2(B, A)) ) ) )  &  (m1_subset_1(C, k9_xtuple_0(B)) & m1_subset_1(D, k9_xtuple_0(B))) ) )  => v2_funct_2(k9_funct_7(B, C, D), A)) ) ).
fof(fc10_exchsort, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_exchsort(A)) )  => v1_exchsort(k9_funct_7(A, B, C))) ) ).
fof(fc11_exchsort, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) & v1_exchsort(A)) ) )  =>  (v1_relat_1(k9_funct_7(A, B, C)) &  (v1_funct_1(k9_funct_7(A, B, C)) &  (v3_valued_0(k9_funct_7(A, B, C)) & v1_exchsort(k9_funct_7(A, B, C))) ) ) ) ) ).
fof(fc12_exchsort, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  =>  (v4_relat_1(k9_funct_7(k6_partfun1(A), B, C), A) &  (v5_relat_1(k9_funct_7(k6_partfun1(A), B, C), A) & v2_funct_1(k9_funct_7(k6_partfun1(A), B, C))) ) ) ) ).
fof(fc13_exchsort, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  =>  (v1_partfun1(k9_funct_7(k6_partfun1(A), B, C), A) & v2_funct_2(k9_funct_7(k6_partfun1(A), B, C), A)) ) ) ).
fof(cc6_exchsort, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_xboole_0(B) & v1_exchsort(B)) ) ) )  =>  (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_xboole_0(B) &  (v1_exchsort(B) & v5_exchsort(B, A)) ) ) ) ) ) ) ) ) ).
fof(fc14_exchsort, axiom,  (! [A, B] :  ( (l1_orders_2(A) &  (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_xboole_0(B) & v1_exchsort(B)) ) ) ) )  => v1_xboole_0(k6_exchsort(A, B))) ) ).
fof(fc15_exchsort, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  &  (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_exchsort(B)) ) ) ) )  => v1_finset_1(k6_exchsort(A, B))) ) ).
fof(fc16_exchsort, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  &  (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_exchsort(B)) ) ) )  => v1_relat_1(k6_exchsort(A, B))) ) ).
fof(fc17_exchsort, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  &  (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_exchsort(B)) ) ) )  =>  (v1_relat_1(k6_exchsort(A, B)) &  (v5_relat_2(k6_exchsort(A, B)) & v8_relat_2(k6_exchsort(A, B))) ) ) ) ).
fof(fc18_exchsort, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  &  (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_exchsort(B)) ) ) )  => v1_relat_1(k7_relat_1(k7_exchsort(A, B, C, D), E))) ) ).
fof(fc19_exchsort, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(A)) )  => v1_finset_1(k9_funct_7(A, B, C))) ) ).
fof(rc6_exchsort, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  &  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_exchsort(B)) ) )  & v3_ordinal1(C)) )  =>  (? [D] :  (m2_exchsort(D, A, B) &  (v1_relat_1(D) &  (v1_funct_1(D) &  ( ~ (v1_xboole_0(D))  &  (v1_finset_1(D) &  (v1_exchsort(D) & v2_exchsort(D, C)) ) ) ) ) ) ) ) ) ).
fof(fc20_exchsort, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  &  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_exchsort(B)) ) )  & m2_exchsort(C, A, B)) )  =>  (v1_relat_1(k1_funct_1(C, D)) &  (v1_funct_1(k1_funct_1(C, D)) & v1_exchsort(k1_funct_1(C, D))) ) ) ) ).
fof(fc21_exchsort, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  &  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_exchsort(B)) ) )  & m2_exchsort(C, A, B)) )  => v5_relat_1(k1_funct_1(C, D), u1_struct_0(A))) ) ).
fof(fc22_exchsort, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  &  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_exchsort(B)) ) )  & m2_exchsort(C, A, B)) )  =>  (v1_relat_1(k4_exchsort(C)) &  (v1_funct_1(k4_exchsort(C)) & v1_exchsort(k4_exchsort(C))) ) ) ) ).
fof(fc23_exchsort, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  &  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_exchsort(B)) ) )  & m2_exchsort(C, A, B)) )  => v5_relat_1(k4_exchsort(C), u1_struct_0(A))) ) ).
fof(cc7_exchsort, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k8_afinsq_1(A)) => v5_relat_1(B, A)) ) ) ).
fof(cc8_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) & v1_exchsort(A)) ) )  =>  (! [B] :  (m1_exchsort(B, A) => v3_valued_0(B)) ) ) ) ).
fof(cc9_exchsort, axiom,  (! [A, B] :  ( (v3_ordinal1(A) &  ~ (v1_xboole_0(B)) )  =>  (! [C] :  (m1_subset_1(C, k9_funct_2(A, B)) => v5_ordinal1(C)) ) ) ) ).
fof(cc10_exchsort, axiom,  (! [A, B] :  ( (v3_membered(B) &  ~ (v1_xboole_0(B)) )  =>  (! [C] :  (m1_subset_1(C, k9_funct_2(A, B)) => v3_valued_0(C)) ) ) ) ).
fof(cc11_exchsort, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v1_exchsort(B)) ) )  =>  (! [C] :  (m1_exchsort(C, B) => v5_relat_1(C, A)) ) ) ) ).
fof(cc12_exchsort, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (! [D] :  (m1_subset_1(D, k1_funct_2(A, C)) => v5_relat_1(D, B)) ) ) ) ).
fof(rc7_exchsort, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  &  (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_exchsort(B) & v2_exchsort(B, k5_numbers)) ) ) ) ) )  =>  (? [C] :  (m1_exchsort(C, B) &  (v1_relat_1(C) &  (v5_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_exchsort(C) & v5_exchsort(C, A)) ) ) ) ) ) ) ) ).
fof(t1_exchsort, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (r2_tarski(C, k6_subset_1(k10_ordinal2(A, B), A)) <=>  (? [D] :  (v3_ordinal1(D) &  (C=k10_ordinal2(A, D) & r2_tarski(D, B)) ) ) ) ) ) ) ) ) ).
fof(t2_exchsort, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (! [D] :  (v3_ordinal1(D) =>  ~ ( (r2_tarski(A, B) &  (r2_tarski(C, D) &  ( ~ ( ( ~ (C=A)  &  ( ~ (C=B)  &  ( ~ (D=A)  &  ~ (D=B) ) ) ) )  &  ( ~ ( (r2_tarski(C, A) & D=A) )  &  ( ~ ( (r2_tarski(C, A) & D=B) )  &  ( ~ ( (C=A & r2_tarski(D, B)) )  &  ( ~ ( (C=A & D=B) )  &  ( ~ ( (C=A & r2_tarski(B, D)) )  &  ( ~ ( (r2_tarski(A, C) & D=B) )  &  ~ ( (C=B & r2_tarski(B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_exchsort, axiom,  (! [A] :  (! [B] :  ( ~ (r2_hidden(A, B))  => k6_subset_1(k2_xboole_0(B, k1_tarski(A)), B)=k1_tarski(A)) ) ) ).
fof(t4_exchsort, axiom,  (! [A] : k6_subset_1(k1_ordinal1(A), A)=k1_tarski(A)) ).
fof(t5_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (r2_hidden(C, k7_relat_1(A, B)) <=>  (? [D] :  (? [E] :  (r2_hidden(k4_tarski(D, E), B) &  (r2_hidden(k4_tarski(D, E), k9_xtuple_0(A)) & k1_binop_1(A, D, E)=C) ) ) ) ) ) ) ) ) ) ).
fof(t6_exchsort, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  ( ~ (k6_subset_1(A, B)=k1_xboole_0)  =>  (k2_ordinal2(k6_subset_1(A, B))=B &  (k3_ordinal2(k6_subset_1(A, B))=A & k3_tarski(k6_subset_1(A, B))=k3_tarski(A)) ) ) ) ) ) ) ).
fof(t7_exchsort, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  ~ ( ( ~ (v1_xboole_0(k6_subset_1(A, B)))  &  (v1_finset_1(k6_subset_1(A, B)) &  (! [C] :  (v7_ordinal1(C) =>  ~ (A=k10_ordinal2(B, C)) ) ) ) ) ) ) ) ) ) ).
fof(d1_exchsort, axiom,  (! [A] :  (v1_exchsort(A) <=>  (? [B] :  (v3_ordinal1(B) &  (? [C] :  (v3_ordinal1(C) & k9_xtuple_0(A)=k6_subset_1(B, C)) ) ) ) ) ) ).
fof(t8_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (k9_xtuple_0(A)=k9_xtuple_0(B) & v1_exchsort(A))  => v1_exchsort(B)) ) ) ) ) ).
fof(t9_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_exchsort(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (! [D] :  (v3_ordinal1(D) =>  ( (r1_ordinal1(B, C) &  (r1_ordinal1(C, D) &  (r2_tarski(B, k9_xtuple_0(A)) & r2_tarski(D, k9_xtuple_0(A))) ) )  => r2_tarski(C, k9_xtuple_0(A))) ) ) ) ) ) ) ) ) ) ).
fof(d2_exchsort, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v2_exchsort(B, A) <=>  (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(C, k9_xtuple_0(B)) =>  (r2_tarski(A, k9_xtuple_0(B)) & r1_ordinal1(A, C)) ) ) ) ) ) ) ) ).
fof(d3_exchsort, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_exchsort(B, A) <=> A=k3_ordinal2(k9_xtuple_0(B))) ) ) ) ).
fof(t10_exchsort, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (v2_exchsort(B, A) & v1_exchsort(B))  <=>  (? [C] :  (v3_ordinal1(C) &  (k9_xtuple_0(B)=k6_subset_1(C, A) & r1_ordinal1(A, C)) ) ) ) ) ) ) ) ).
fof(t11_exchsort, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (v3_exchsort(B, A) &  ( ~ (v1_xboole_0(B))  & v1_exchsort(B)) )  <=>  (? [C] :  (v3_ordinal1(C) &  (k9_xtuple_0(B)=k6_subset_1(A, C) & r2_tarski(C, A)) ) ) ) ) ) ) ) ).
fof(t12_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v2_exchsort(A, k2_ordinal2(k9_xtuple_0(A)))) ) ).
fof(t13_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v3_exchsort(A, k3_ordinal2(k9_xtuple_0(A)))) ) ).
fof(t14_exchsort, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (v3_exchsort(C, B) & r2_tarski(A, k9_xtuple_0(C)))  => r2_tarski(A, B)) ) ) ) ) ) ) ).
fof(d4_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (v3_ordinal1(B) =>  ( ( (? [C] :  (v3_ordinal1(C) & r2_tarski(C, k9_xtuple_0(A))) )  =>  (B=k1_exchsort(A) <=> v2_exchsort(A, B)) )  &  ( (! [C] :  (v3_ordinal1(C) =>  ~ (r2_tarski(C, k9_xtuple_0(A))) ) )  =>  (B=k1_exchsort(A) <=> B=k5_numbers) ) ) ) ) ) ) ).
fof(d5_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (v3_ordinal1(B) =>  ( ( (? [C] :  (v3_ordinal1(C) & r2_tarski(C, k9_xtuple_0(A))) )  =>  (B=k2_exchsort(A) <=> v3_exchsort(A, B)) )  &  ( (! [C] :  (v3_ordinal1(C) =>  ~ (r2_tarski(C, k9_xtuple_0(A))) ) )  =>  (B=k2_exchsort(A) <=> B=k5_numbers) ) ) ) ) ) ) ).
fof(d6_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => k3_exchsort(A)=k5_ordinal3(k2_exchsort(A), k1_exchsort(A))) ) ).
fof(t15_exchsort, axiom,  (k1_exchsort(k1_xboole_0)=k5_numbers &  (k2_exchsort(k1_xboole_0)=k5_numbers & k3_exchsort(k1_xboole_0)=k5_numbers) ) ).
fof(t16_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => k2_exchsort(A)=k3_ordinal2(k9_xtuple_0(A))) ) ).
fof(t17_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v3_exchsort(A, k2_exchsort(A))) ) ).
fof(t18_exchsort, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v1_xboole_0(B) => v2_exchsort(B, A)) ) ) ) ).
fof(t19_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_exchsort(A)) )  =>  (v3_exchsort(A, k5_numbers) <=> v1_xboole_0(A)) ) ) ).
fof(t20_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => k1_exchsort(A)=k2_ordinal2(k9_xtuple_0(A))) ) ).
fof(t21_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v2_exchsort(A, k1_exchsort(A))) ) ).
fof(t22_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_exchsort(A)) )  => k9_xtuple_0(A)=k6_subset_1(k2_exchsort(A), k1_exchsort(A))) ) ).
fof(t23_exchsort, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_exchsort(C)) )  =>  (k9_xtuple_0(C)=k6_subset_1(A, B) =>  (v1_xboole_0(C) |  (k1_exchsort(C)=B & k2_exchsort(C)=A) ) ) ) ) ) ) ) ) ).
fof(t24_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) )  =>  (k1_exchsort(A)=k5_numbers &  (k2_exchsort(A)=k9_xtuple_0(A) & k3_exchsort(A)=k9_xtuple_0(A)) ) ) ) ).
fof(d7_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_exchsort(A)) )  => k4_exchsort(A)=k1_funct_1(A, k3_tarski(k9_xtuple_0(A)))) ) ).
fof(d8_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v4_exchsort(A) <=>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  ( (r2_tarski(B, k9_xtuple_0(A)) &  (r2_tarski(C, k9_xtuple_0(A)) & r2_tarski(B, C)) )  => r2_xboole_0(k1_funct_1(A, C), k1_funct_1(A, B))) ) ) ) ) ) ) ) ).
fof(t25_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_exchsort(A)) ) )  =>  ( (! [B] :  (v3_ordinal1(B) =>  ( (r2_tarski(B, k9_xtuple_0(A)) & r2_tarski(k1_ordinal1(B), k9_xtuple_0(A)))  => r2_xboole_0(k1_funct_1(A, k1_ordinal1(B)), k1_funct_1(A, B))) ) )  => v4_exchsort(A)) ) ) ).
fof(t26_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_exchsort(A)) )  =>  ( (k3_exchsort(A)=k4_ordinal1 &  (! [B] :  (v3_ordinal1(B) =>  ( (r2_tarski(B, k9_xtuple_0(A)) & r2_tarski(k1_ordinal1(B), k9_xtuple_0(A)))  => r2_xboole_0(k1_funct_1(A, k1_ordinal1(B)), k1_funct_1(A, B))) ) ) )  => v4_exchsort(A)) ) ) ).
fof(t27_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) )  =>  ( (v4_exchsort(A) & v1_finset_1(k1_funct_1(A, k5_numbers)))  => v1_finset_1(A)) ) ) ).
fof(t28_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) )  =>  ( (v4_exchsort(A) &  (v1_finset_1(k1_funct_1(A, k5_numbers)) &  (! [B] :  (v3_ordinal1(B) =>  ( ~ (k1_funct_1(A, B)=k1_xboole_0)  => r2_tarski(k1_ordinal1(B), k9_xtuple_0(A))) ) ) ) )  => k4_exchsort(A)=k1_xboole_0) ) ) ).
fof(t29_exchsort, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r2_tarski(A, k9_xtuple_0(C)) & r2_tarski(B, k9_xtuple_0(C)))  => k1_funct_1(k9_funct_7(C, A, B), A)=k1_funct_1(C, B)) ) ) ) ) ).
fof(t30_exchsort, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, C) &  (v1_funct_1(D) & v1_exchsort(D)) ) )  =>  ( (r2_tarski(A, k9_xtuple_0(D)) & r2_tarski(B, k9_xtuple_0(D)))  => k7_partfun1(C, k9_funct_7(D, A, B), A)=k7_partfun1(C, D, B)) ) ) ) ) ) ).
fof(t31_exchsort, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r2_tarski(A, k9_xtuple_0(C)) & r2_tarski(B, k9_xtuple_0(C)))  => k1_funct_1(k9_funct_7(C, A, B), B)=k1_funct_1(C, A)) ) ) ) ) ).
fof(t32_exchsort, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, C) &  (v1_funct_1(D) & v1_exchsort(D)) ) )  =>  ( (r2_tarski(A, k9_xtuple_0(D)) & r2_tarski(B, k9_xtuple_0(D)))  => k7_partfun1(C, k9_funct_7(D, A, B), B)=k7_partfun1(C, D, A)) ) ) ) ) ) ).
fof(t33_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (! [D] :  ~ ( ( ~ (D=B)  &  ( ~ (D=C)  &  ~ (k1_funct_1(k9_funct_7(A, B, C), D)=k1_funct_1(A, D)) ) ) ) ) ) ) ) ) ).
fof(t34_exchsort, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (v1_relat_1(E) &  (v5_relat_1(E, D) &  (v1_funct_1(E) & v1_exchsort(E)) ) )  =>  (r2_tarski(C, k9_xtuple_0(E)) =>  (C=A |  (C=B | k7_partfun1(D, k9_funct_7(E, A, B), C)=k7_partfun1(D, E, C)) ) ) ) ) ) ) ) ) ).
fof(t35_exchsort, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r2_tarski(A, k9_xtuple_0(C)) & r2_tarski(B, k9_xtuple_0(C)))  => k9_funct_7(C, A, B)=k9_funct_7(C, B, A)) ) ) ) ) ).
fof(t36_exchsort, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_exchsort(C)) )  =>  ( (r2_tarski(A, k9_xtuple_0(C)) & r2_tarski(B, k9_xtuple_0(C)))  => k9_funct_7(k9_funct_7(C, A, B), A, B)=C) ) ) ) ) ).
fof(d9_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_exchsort(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_exchsort(B)) )  =>  (m1_exchsort(B, A) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k9_xtuple_0(A), k9_xtuple_0(A)) &  (v3_funct_2(C, k9_xtuple_0(A), k9_xtuple_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_xtuple_0(A), k9_xtuple_0(A))))) ) )  & B=k3_relat_1(C, A)) ) ) ) ) ) ) ).
fof(t37_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_exchsort(A)) )  =>  (! [B] :  (m1_exchsort(B, A) =>  (k9_xtuple_0(B)=k9_xtuple_0(A) & k10_xtuple_0(B)=k10_xtuple_0(A)) ) ) ) ) ).
fof(t38_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_exchsort(A)) )  => m1_exchsort(A, A)) ) ).
fof(t39_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_exchsort(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_exchsort(B)) )  =>  (m1_exchsort(A, B) => m1_exchsort(B, A)) ) ) ) ) ).
fof(t40_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_exchsort(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_exchsort(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_exchsort(C)) )  =>  ( (m1_exchsort(A, B) & m1_exchsort(B, C))  => m1_exchsort(A, C)) ) ) ) ) ) ) ).
fof(t41_exchsort, axiom,  (! [A] :  (! [B] :  (! [C] : v2_funct_1(k9_funct_7(k6_partfun1(C), A, B))) ) ) ).
fof(t42_exchsort, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_exchsort(E)) )  =>  ( (r2_tarski(A, C) &  (r2_tarski(B, C) &  (D=k9_funct_7(k6_partfun1(C), A, B) & C=k9_xtuple_0(E)) ) )  => k9_funct_7(E, A, B)=k3_relat_1(D, E)) ) ) ) ) ) ) ) ).
fof(t43_exchsort, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_exchsort(C)) )  =>  ( (r2_tarski(A, k9_xtuple_0(C)) & r2_tarski(B, k9_xtuple_0(C)))  =>  (m1_exchsort(k9_funct_7(C, A, B), C) & m1_exchsort(C, k9_funct_7(C, A, B))) ) ) ) ) ) ).
fof(t44_exchsort, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_exchsort(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_exchsort(D)) )  =>  ( (r2_tarski(A, k9_xtuple_0(C)) &  (r2_tarski(B, k9_xtuple_0(C)) & m1_exchsort(C, D)) )  =>  (m1_exchsort(k9_funct_7(C, A, B), D) & m1_exchsort(C, k9_funct_7(D, A, B))) ) ) ) ) ) ) ) ).
fof(d10_exchsort, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_exchsort(B)) ) )  =>  (v5_exchsort(B, A) <=>  (! [C] :  (v3_ordinal1(C) =>  (! [D] :  (v3_ordinal1(D) =>  ( (r2_tarski(C, k9_xtuple_0(B)) &  (r2_tarski(D, k9_xtuple_0(B)) & r2_tarski(C, D)) )  => r1_orders_2(A, k7_partfun1(u1_struct_0(A), B, C), k7_partfun1(u1_struct_0(A), B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t45_exchsort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_orders_2(A, C, B) <=>  ~ (r3_orders_2(A, B, C)) ) ) ) ) ) ) ) ).
fof(t46_exchsort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_exchsort(B)) ) )  =>  (! [C] :  (! [D] :  (r2_hidden(k4_tarski(C, D), k6_exchsort(A, B)) <=>  (r2_hidden(C, k9_xtuple_0(B)) &  (r2_tarski(D, k9_xtuple_0(B)) &  (r2_hidden(C, D) & r2_orders_2(A, k7_partfun1(u1_struct_0(A), B, D), k7_partfun1(u1_struct_0(A), B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t47_exchsort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_exchsort(B)) ) )  => r1_tarski(k6_exchsort(A, B), k2_zfmisc_1(k9_xtuple_0(B), k9_xtuple_0(B)))) ) ) ) ).
fof(t48_exchsort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_exchsort(B)) ) )  =>  (v5_exchsort(B, A) <=> k6_exchsort(A, B)=k1_xboole_0) ) ) ) ) ).
fof(t49_exchsort, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v3_orders_2(C) &  (v4_orders_2(C) &  (v5_orders_2(C) &  (v16_waybel_0(C) & l1_orders_2(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, u1_struct_0(C)) &  (v1_funct_1(D) & v1_exchsort(D)) ) )  =>  ~ ( (r2_hidden(k4_tarski(A, B), k6_exchsort(C, D)) & r2_hidden(k4_tarski(B, A), k6_exchsort(C, D))) ) ) ) ) ) ) ) ).
fof(t50_exchsort, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v3_orders_2(D) &  (v4_orders_2(D) &  (v5_orders_2(D) &  (v16_waybel_0(D) & l1_orders_2(D)) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v5_relat_1(E, u1_struct_0(D)) &  (v1_funct_1(E) & v1_exchsort(E)) ) )  =>  ( (r2_hidden(k4_tarski(A, B), k6_exchsort(D, E)) & r2_hidden(k4_tarski(B, C), k6_exchsort(D, E)))  => r2_hidden(k4_tarski(A, C), k6_exchsort(D, E))) ) ) ) ) ) ) ) ).
fof(t51_exchsort, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v3_orders_2(C) &  (v4_orders_2(C) &  (v5_orders_2(C) &  (v16_waybel_0(C) & l1_orders_2(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, u1_struct_0(C)) &  (v1_funct_1(D) & v1_exchsort(D)) ) )  =>  ~ ( (r2_hidden(k4_tarski(A, B), k6_exchsort(C, D)) & r2_hidden(k4_tarski(A, B), k6_exchsort(C, k9_funct_7(D, A, B)))) ) ) ) ) ) ) ) ).
fof(t52_exchsort, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v3_orders_2(E) &  (v4_orders_2(E) &  (v5_orders_2(E) &  (v16_waybel_0(E) & l1_orders_2(E)) ) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v5_relat_1(F, u1_struct_0(E)) &  (v1_funct_1(F) & v1_exchsort(F)) ) )  =>  ( (r2_tarski(A, k9_xtuple_0(F)) & r2_tarski(B, k9_xtuple_0(F)))  =>  (C=A |  (C=B |  (D=A |  (D=B |  (r2_hidden(k4_tarski(C, D), k6_exchsort(E, F)) <=> r2_hidden(k4_tarski(C, D), k6_exchsort(E, k9_funct_7(F, A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_exchsort, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v3_orders_2(D) &  (v4_orders_2(D) &  (v5_orders_2(D) &  (v16_waybel_0(D) & l1_orders_2(D)) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v5_relat_1(E, u1_struct_0(D)) &  (v1_funct_1(E) & v1_exchsort(E)) ) )  =>  (r2_hidden(k4_tarski(A, B), k6_exchsort(D, E)) =>  ( (r2_hidden(k4_tarski(C, B), k6_exchsort(D, E)) & r2_tarski(C, A))  <=> r2_hidden(k4_tarski(C, A), k6_exchsort(D, k9_funct_7(E, A, B)))) ) ) ) ) ) ) ) ) ).
fof(t54_exchsort, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v3_orders_2(D) &  (v4_orders_2(D) &  (v5_orders_2(D) &  (v16_waybel_0(D) & l1_orders_2(D)) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v5_relat_1(E, u1_struct_0(D)) &  (v1_funct_1(E) & v1_exchsort(E)) ) )  =>  (r2_hidden(k4_tarski(A, B), k6_exchsort(D, E)) =>  (r2_hidden(k4_tarski(C, A), k6_exchsort(D, E)) <=>  (r2_tarski(C, A) & r2_hidden(k4_tarski(C, B), k6_exchsort(D, k9_funct_7(E, A, B)))) ) ) ) ) ) ) ) ) ) ).
fof(t55_exchsort, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v3_orders_2(D) &  (v4_orders_2(D) &  (v5_orders_2(D) &  (v16_waybel_0(D) & l1_orders_2(D)) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v5_relat_1(E, u1_struct_0(D)) &  (v1_funct_1(E) & v1_exchsort(E)) ) )  =>  ( (r2_hidden(k4_tarski(A, B), k6_exchsort(D, E)) &  (r2_tarski(C, B) & r2_hidden(k4_tarski(A, C), k6_exchsort(D, k9_funct_7(E, A, B)))) )  => r2_hidden(k4_tarski(A, C), k6_exchsort(D, E))) ) ) ) ) ) ) ) ).
fof(t56_exchsort, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v3_orders_2(D) &  (v4_orders_2(D) &  (v5_orders_2(D) &  (v16_waybel_0(D) & l1_orders_2(D)) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v5_relat_1(E, u1_struct_0(D)) &  (v1_funct_1(E) & v1_exchsort(E)) ) )  =>  ( (r2_hidden(k4_tarski(A, B), k6_exchsort(D, E)) &  (r2_tarski(A, C) & r2_hidden(k4_tarski(C, B), k6_exchsort(D, k9_funct_7(E, A, B)))) )  => r2_hidden(k4_tarski(C, B), k6_exchsort(D, E))) ) ) ) ) ) ) ) ).
fof(t57_exchsort, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v3_orders_2(D) &  (v4_orders_2(D) &  (v5_orders_2(D) &  (v16_waybel_0(D) & l1_orders_2(D)) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v5_relat_1(E, u1_struct_0(D)) &  (v1_funct_1(E) & v1_exchsort(E)) ) )  =>  ( (r2_hidden(k4_tarski(A, B), k6_exchsort(D, E)) &  (r2_tarski(B, C) & r2_hidden(k4_tarski(A, C), k6_exchsort(D, k9_funct_7(E, A, B)))) )  => r2_hidden(k4_tarski(B, C), k6_exchsort(D, E))) ) ) ) ) ) ) ) ).
fof(t58_exchsort, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v3_orders_2(D) &  (v4_orders_2(D) &  (v5_orders_2(D) &  (v16_waybel_0(D) & l1_orders_2(D)) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v5_relat_1(E, u1_struct_0(D)) &  (v1_funct_1(E) & v1_exchsort(E)) ) )  =>  (r2_hidden(k4_tarski(A, B), k6_exchsort(D, E)) =>  ( (r2_tarski(B, C) & r2_hidden(k4_tarski(A, C), k6_exchsort(D, E)))  <=> r2_hidden(k4_tarski(B, C), k6_exchsort(D, k9_funct_7(E, A, B)))) ) ) ) ) ) ) ) ) ).
fof(d13_exchsort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_exchsort(B)) ) )  =>  (! [C] :  (! [D] : k7_exchsort(A, B, C, D)=k1_funct_4(k15_funct_3(k9_funct_7(k6_partfun1(k9_xtuple_0(B)), C, D), k9_funct_7(k6_partfun1(k9_xtuple_0(B)), C, D)), k6_partfun1(k2_xboole_0(k2_zfmisc_1(k1_tarski(C), k6_subset_1(k1_ordinal1(D), C)), k2_zfmisc_1(k6_subset_1(k1_ordinal1(D), C), k1_tarski(D)))))) ) ) ) ) ) ).
fof(t59_exchsort, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(C, k6_subset_1(k1_ordinal1(B), A)) <=>  (r1_ordinal1(A, C) & r1_ordinal1(C, B)) ) ) ) ) ) ) ) ).
fof(t60_exchsort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_exchsort(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k9_xtuple_0(B)) =>  (! [D] :  (m1_subset_1(D, k9_xtuple_0(B)) => r1_tarski(k6_subset_1(k1_ordinal1(D), C), k9_xtuple_0(B))) ) ) ) ) ) ) ) ).
fof(t61_exchsort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_exchsort(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k9_xtuple_0(B)) =>  (! [D] :  (m1_subset_1(D, k9_xtuple_0(B)) =>  (k9_xtuple_0(k7_exchsort(A, B, C, D))=k2_zfmisc_1(k9_xtuple_0(B), k9_xtuple_0(B)) & r1_tarski(k10_xtuple_0(k7_exchsort(A, B, C, D)), k2_zfmisc_1(k9_xtuple_0(B), k9_xtuple_0(B)))) ) ) ) ) ) ) ) ) ).
fof(t62_exchsort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_exchsort(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k9_xtuple_0(B)) =>  (! [D] :  (m1_subset_1(D, k9_xtuple_0(B)) =>  (! [E] :  (m1_subset_1(E, k9_xtuple_0(B)) =>  ( (r1_ordinal1(C, E) & r1_ordinal1(E, D))  =>  (k1_binop_1(k7_exchsort(A, B, C, D), C, E)=k4_tarski(C, E) & k1_binop_1(k7_exchsort(A, B, C, D), E, D)=k4_tarski(E, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v16_waybel_0(B) & l1_orders_2(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  & v1_exchsort(C)) ) ) )  =>  (! [D] :  (m1_subset_1(D, k9_xtuple_0(C)) =>  (! [E] :  (m1_subset_1(E, k9_xtuple_0(C)) =>  (! [F] :  (m1_subset_1(F, k9_xtuple_0(C)) =>  (! [G] :  (m1_subset_1(G, k9_xtuple_0(C)) =>  (A=k5_exchsort(k9_xtuple_0(C), k9_xtuple_0(C), k6_partfun1(k9_xtuple_0(C)), D, E) =>  (F=D |  (G=E | k1_binop_1(k7_exchsort(B, C, D, E), F, G)=k4_tarski(k1_funct_1(A, F), k1_funct_1(A, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v16_waybel_0(B) & l1_orders_2(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  & v1_exchsort(C)) ) ) )  =>  (! [D] :  (m1_subset_1(D, k9_xtuple_0(C)) =>  (! [E] :  (m1_subset_1(E, k9_xtuple_0(C)) =>  (! [F] :  (m1_subset_1(F, k9_xtuple_0(C)) =>  ( (r2_tarski(F, D) & A=k5_exchsort(k9_xtuple_0(C), k9_xtuple_0(C), k6_partfun1(k9_xtuple_0(C)), D, E))  =>  (k1_binop_1(k7_exchsort(B, C, D, E), F, E)=k4_tarski(k1_funct_1(A, F), k1_funct_1(A, E)) & k1_binop_1(k7_exchsort(B, C, D, E), F, D)=k4_tarski(k1_funct_1(A, F), k1_funct_1(A, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v16_waybel_0(B) & l1_orders_2(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  & v1_exchsort(C)) ) ) )  =>  (! [D] :  (m1_subset_1(D, k9_xtuple_0(C)) =>  (! [E] :  (m1_subset_1(E, k9_xtuple_0(C)) =>  (! [F] :  (m1_subset_1(F, k9_xtuple_0(C)) =>  ( (r2_tarski(E, F) & A=k5_exchsort(k9_xtuple_0(C), k9_xtuple_0(C), k6_partfun1(k9_xtuple_0(C)), D, E))  =>  (k1_binop_1(k7_exchsort(B, C, D, E), D, F)=k4_tarski(k1_funct_1(A, D), k1_funct_1(A, F)) & k1_binop_1(k7_exchsort(B, C, D, E), E, F)=k4_tarski(k1_funct_1(A, E), k1_funct_1(A, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_exchsort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_exchsort(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k9_xtuple_0(B)) =>  (! [D] :  (m1_subset_1(D, k9_xtuple_0(B)) =>  (r2_tarski(C, D) => k1_binop_1(k7_exchsort(A, B, C, D), C, D)=k4_tarski(C, D)) ) ) ) ) ) ) ) ) ).
fof(t67_exchsort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_exchsort(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k9_xtuple_0(B)) =>  (! [D] :  (m1_subset_1(D, k9_xtuple_0(B)) =>  (! [E] :  (m1_subset_1(E, k9_xtuple_0(B)) =>  (! [F] :  (m1_subset_1(F, k9_xtuple_0(B)) =>  (r2_tarski(C, D) =>  (E=C |  (E=D |  (F=C |  (F=D | k1_binop_1(k7_exchsort(A, B, C, D), E, F)=k4_tarski(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_exchsort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_exchsort(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k9_xtuple_0(B)) =>  (! [D] :  (m1_subset_1(D, k9_xtuple_0(B)) =>  (! [E] :  (m1_subset_1(E, k9_xtuple_0(B)) =>  ( (r2_tarski(E, C) & r2_tarski(C, D))  =>  (k1_binop_1(k7_exchsort(A, B, C, D), E, C)=k4_tarski(E, D) & k1_binop_1(k7_exchsort(A, B, C, D), E, D)=k4_tarski(E, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t69_exchsort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_exchsort(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k9_xtuple_0(B)) =>  (! [D] :  (m1_subset_1(D, k9_xtuple_0(B)) =>  (! [E] :  (m1_subset_1(E, k9_xtuple_0(B)) =>  ( (r2_tarski(C, E) & r2_tarski(E, D))  =>  (k1_binop_1(k7_exchsort(A, B, C, D), C, E)=k4_tarski(C, E) & k1_binop_1(k7_exchsort(A, B, C, D), E, D)=k4_tarski(E, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_exchsort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_exchsort(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k9_xtuple_0(B)) =>  (! [D] :  (m1_subset_1(D, k9_xtuple_0(B)) =>  (! [E] :  (m1_subset_1(E, k9_xtuple_0(B)) =>  ( (r2_tarski(C, D) & r2_tarski(D, E))  =>  (k1_binop_1(k7_exchsort(A, B, C, D), C, E)=k4_tarski(D, E) & k1_binop_1(k7_exchsort(A, B, C, D), D, E)=k4_tarski(C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_exchsort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_exchsort(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k9_xtuple_0(B)) =>  (! [D] :  (m1_subset_1(D, k9_xtuple_0(B)) =>  (r2_tarski(C, D) => v2_funct_1(k5_relat_1(k7_exchsort(A, B, C, D), k6_exchsort(A, k9_funct_7(B, C, D))))) ) ) ) ) ) ) ) ) ).
fof(t72_exchsort, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v3_orders_2(C) &  (v4_orders_2(C) &  (v5_orders_2(C) &  (v16_waybel_0(C) & l1_orders_2(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, u1_struct_0(C)) &  (v1_funct_1(D) & v1_exchsort(D)) ) )  =>  (r2_hidden(k4_tarski(A, B), k6_exchsort(C, D)) => r2_xboole_0(k7_relat_1(k7_exchsort(C, D, A, B), k6_exchsort(C, k9_funct_7(D, A, B))), k6_exchsort(C, D))) ) ) ) ) ) ) ).
fof(t73_exchsort, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v3_orders_2(C) &  (v4_orders_2(C) &  (v5_orders_2(C) &  (v16_waybel_0(C) & l1_orders_2(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, u1_struct_0(C)) &  (v1_funct_1(D) & v1_exchsort(D)) ) )  =>  ( (r2_hidden(k4_tarski(A, B), k6_exchsort(C, D)) & v1_finset_1(k6_exchsort(C, D)))  => r2_tarski(k1_card_1(k6_exchsort(C, k9_funct_7(D, A, B))), k1_card_1(k6_exchsort(C, D)))) ) ) ) ) ) ) ).
fof(t74_exchsort, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v3_orders_2(C) &  (v4_orders_2(C) &  (v5_orders_2(C) &  (v16_waybel_0(C) & l1_orders_2(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, u1_struct_0(C)) &  (v1_funct_1(D) &  (v1_finset_1(D) & v1_exchsort(D)) ) ) )  =>  ~ ( (r2_hidden(k4_tarski(A, B), k6_exchsort(C, D)) & r1_xxreal_0(k4_card_1(k6_exchsort(C, D)), k4_card_1(k6_exchsort(C, k9_funct_7(D, A, B))))) ) ) ) ) ) ) ) ).
fof(d14_exchsort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_exchsort(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  & v1_exchsort(C)) ) )  =>  (m2_exchsort(C, A, B) <=>  (k1_funct_1(C, k1_exchsort(C))=B &  ( (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(D, k9_xtuple_0(C)) =>  (v1_relat_1(k1_funct_1(C, D)) &  (v5_relat_1(k1_funct_1(C, D), u1_struct_0(A)) &  (v1_funct_1(k1_funct_1(C, D)) & v1_exchsort(k1_funct_1(C, D))) ) ) ) ) )  &  (! [D] :  (v3_ordinal1(D) =>  ~ ( (r2_tarski(D, k9_xtuple_0(C)) &  (r2_tarski(k1_ordinal1(D), k9_xtuple_0(C)) &  (! [E] :  ( (v1_relat_1(E) &  (v5_relat_1(E, u1_struct_0(A)) &  (v1_funct_1(E) & v1_exchsort(E)) ) )  =>  (! [F] :  (! [G] :  ~ ( (r2_hidden(k4_tarski(F, G), k6_exchsort(A, E)) &  (k1_funct_1(C, D)=E & k1_funct_1(C, k1_ordinal1(D))=k9_funct_7(E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_exchsort, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v16_waybel_0(B) & l1_orders_2(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_exchsort(C)) ) )  => m2_exchsort(k1_tarski(k4_tarski(A, C)), B, C)) ) ) ) ) ) ).
fof(d15_exchsort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_exchsort(B)) ) )  =>  (! [C] :  (m2_exchsort(C, A, B) =>  (v6_exchsort(C, A, B) <=> v5_exchsort(k4_exchsort(C), A)) ) ) ) ) ) ) ).
fof(t76_exchsort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_exchsort(B)) ) )  =>  (! [C] :  ( (v2_exchsort(C, k5_numbers) & m2_exchsort(C, A, B))  =>  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_exchsort(B)) ) ) )  => v1_finset_1(C)) ) ) ) ) ) ) ).
fof(t77_exchsort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_exchsort(B)) ) )  =>  (! [C] :  ( (v2_exchsort(C, k5_numbers) & m2_exchsort(C, A, B))  =>  ( ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_exchsort(B)) ) ) )  &  (! [D] :  (v3_ordinal1(D) =>  ( ~ (k6_exchsort(A, k1_funct_1(C, D))=k1_xboole_0)  => r2_tarski(k1_ordinal1(D), k9_xtuple_0(C))) ) ) )  => v6_exchsort(C, A, B)) ) ) ) ) ) ) ).
fof(t78_exchsort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_exchsort(B)) ) )  =>  (! [C] :  ( (v1_finset_1(C) & m2_exchsort(C, A, B))  =>  (m1_exchsort(k4_exchsort(C), B) &  (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(D, k9_xtuple_0(C)) => m1_exchsort(k1_funct_1(C, D), B)) ) ) ) ) ) ) ) ) ) ).
fof(t79_exchsort, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_exchsort(B) & v2_exchsort(B, k5_numbers)) ) ) ) )  =>  ( ~ (B=k1_xboole_0)  => r2_tarski(k4_exchsort(B), A)) ) ) ) ).
fof(t80_exchsort, axiom,  (! [A] : k4_exchsort(k5_afinsq_1(A))=A) ).
fof(t81_exchsort, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_exchsort(B) & v2_exchsort(B, k5_numbers)) ) ) )  => k4_exchsort(k1_ordinal4(B, k5_afinsq_1(A)))=A) ) ) ).
fof(t82_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_exchsort(A)) )  =>  (! [B] :  (m1_exchsort(B, A) => r2_tarski(B, k1_funct_2(k9_xtuple_0(A), k10_xtuple_0(A)))) ) ) ) ).
fof(t83_exchsort, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) & v5_relat_1(C, B)) )  => m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ).
fof(t84_exchsort, axiom,  (! [A] :  ( (v3_ordinal1(A) & v1_finset_1(A))  =>  (! [B] :  ~ ( (r2_tarski(B, A) &  ( ~ (B=k5_numbers)  &  (! [C] :  (v3_ordinal1(C) =>  ~ (B=k1_ordinal1(C)) ) ) ) ) ) ) ) ) ).
fof(t85_exchsort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) &  (v1_exchsort(B) & v2_exchsort(B, k5_numbers)) ) ) ) ) )  =>  (? [C] :  ( (v2_exchsort(C, k5_numbers) & m2_exchsort(C, A, B))  & v6_exchsort(C, A, B)) ) ) ) ) ) ).
fof(t86_exchsort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) &  (v1_exchsort(B) & v2_exchsort(B, k5_numbers)) ) ) ) ) )  =>  (? [C] :  (m1_exchsort(C, B) & v5_exchsort(C, A)) ) ) ) ) ) ).
fof(s1_exchsort, axiom,  ( (v1_finset_1(f2_s1_exchsort(k1_funct_1(f1_s1_exchsort, k5_numbers))) &  (! [A] :  (v3_ordinal1(A) =>  ( (r2_tarski(k1_ordinal1(A), k9_xtuple_0(f1_s1_exchsort)) & v1_finset_1(f2_s1_exchsort(k1_funct_1(f1_s1_exchsort, A))))  => r2_xboole_0(f2_s1_exchsort(k1_funct_1(f1_s1_exchsort, k1_ordinal1(A))), f2_s1_exchsort(k1_funct_1(f1_s1_exchsort, A)))) ) ) )  => v1_finset_1(f1_s1_exchsort)) ).
fof(s2_exchsort, axiom,  ( (r2_tarski(f3_s2_exchsort, f2_s2_exchsort) &  (v1_finset_1(f1_s2_exchsort(f3_s2_exchsort)) &  (! [A] :  (m1_subset_1(A, f2_s2_exchsort) =>  ~ ( ( ~ (f1_s2_exchsort(A)=k1_xboole_0)  &  (! [B] :  (m1_subset_1(B, f2_s2_exchsort) =>  ~ ( (p1_s2_exchsort(A, B) & r2_xboole_0(f1_s2_exchsort(B), f1_s2_exchsort(A))) ) ) ) ) ) ) ) ) )  =>  (? [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v1_exchsort(A) & v2_exchsort(A, k5_numbers)) ) ) ) )  &  (? [B] :  (m1_subset_1(B, f2_s2_exchsort) &  (B=k4_exchsort(A) &  (f1_s2_exchsort(B)=k1_xboole_0 &  (k1_funct_1(A, k5_numbers)=f3_s2_exchsort &  (! [C] :  (v3_ordinal1(C) =>  ~ ( (r2_tarski(k1_ordinal1(C), k2_afinsq_1(A)) &  (! [D] :  (m1_subset_1(D, f2_s2_exchsort) =>  (! [E] :  (m1_subset_1(E, f2_s2_exchsort) =>  ~ ( (D=k1_funct_1(A, C) &  (E=k1_funct_1(A, k1_ordinal1(C)) & p1_s2_exchsort(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v3_ordinal1(k1_exchsort(A))) ) ).
fof(dt_k2_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v3_ordinal1(k2_exchsort(A))) ) ).
fof(dt_k3_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v3_ordinal1(k3_exchsort(A))) ) ).
fof(dt_f1_s1_exchsort, axiom,  (v1_relat_1(f1_s1_exchsort) &  (v5_ordinal1(f1_s1_exchsort) & v1_funct_1(f1_s1_exchsort)) ) ).
fof(dt_m1_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_exchsort(A)) )  =>  (! [B] :  (m1_exchsort(B, A) =>  (v1_relat_1(B) &  (v1_funct_1(B) & v1_exchsort(B)) ) ) ) ) ) ).
fof(existence_m1_exchsort, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_exchsort(A)) )  =>  (? [B] : m1_exchsort(B, A)) ) ) ).
fof(dt_k5_exchsort, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (m1_subset_1(D, A) & m1_subset_1(E, A)) ) ) )  =>  (v1_funct_1(k5_exchsort(A, B, C, D, E)) &  (v1_funct_2(k5_exchsort(A, B, C, D, E), A, B) & m1_subset_1(k5_exchsort(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ).
fof(redefinition_k5_exchsort, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (m1_subset_1(D, A) & m1_subset_1(E, A)) ) ) )  => k5_exchsort(A, B, C, D, E)=k9_funct_7(C, D, E)) ) ).
fof(irreflexivity_r1_exchsort, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  ~ (r1_exchsort(A, B, B)) ) ) ).
fof(asymmetry_r1_exchsort, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r1_exchsort(A, B, C) =>  ~ (r1_exchsort(A, C, B)) ) ) ) ).
fof(redefinition_r1_exchsort, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r1_exchsort(A, B, C) <=> r2_orders_2(A, B, C)) ) ) ).
fof(dt_k7_exchsort, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  &  (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_exchsort(B)) ) ) )  =>  (v1_relat_1(k7_exchsort(A, B, C, D)) & v1_funct_1(k7_exchsort(A, B, C, D))) ) ) ).
fof(dt_m2_exchsort, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  &  (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_exchsort(B)) ) ) )  =>  (! [C] :  (m2_exchsort(C, A, B) =>  (v1_relat_1(C) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  & v1_exchsort(C)) ) ) ) ) ) ) ).
fof(existence_m2_exchsort, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  &  (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_exchsort(B)) ) ) )  =>  (? [C] : m2_exchsort(C, A, B)) ) ) ).
fof(dt_f2_s2_exchsort, axiom,  ~ (v1_xboole_0(f2_s2_exchsort)) ).
fof(d11_exchsort, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_exchsort(B)) ) )  => k6_exchsort(A, B)=a_2_0_exchsort(A, B)) ) ) ) ).
fof(d12_exchsort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_exchsort(B)) ) )  => k6_exchsort(A, B)=a_2_1_exchsort(A, B)) ) ) ) ).
fof(fraenkel_a_2_0_exchsort, axiom,  (! [A, B, C] :  ( (l1_orders_2(B) &  (v1_relat_1(C) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_exchsort(C)) ) ) )  =>  (r2_hidden(A, a_2_0_exchsort(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, k9_xtuple_0(C)) & m1_subset_1(E, k9_xtuple_0(C)))  &  (A=k4_tarski(D, E) &  (r2_tarski(D, E) &  ~ (r1_orders_2(B, k7_partfun1(u1_struct_0(B), C, D), k7_partfun1(u1_struct_0(B), C, E))) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_exchsort, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v16_waybel_0(B) & l1_orders_2(B)) ) ) ) )  &  (v1_relat_1(C) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_exchsort(C)) ) ) )  =>  (r2_hidden(A, a_2_1_exchsort(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, k9_xtuple_0(C)) & m1_subset_1(E, k9_xtuple_0(C)))  &  (A=k4_tarski(D, E) &  (r2_tarski(D, E) & r2_orders_2(B, k7_partfun1(u1_struct_0(B), C, E), k7_partfun1(u1_struct_0(B), C, D))) ) ) ) ) ) ) ).
fof(rc1_extens_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  (? [C] :  (m1_msafree(C, A, B) &  (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  & v1_partfun1(C, u1_struct_0(A))) ) ) ) ) ) ) ) ) ).
fof(t1_extens_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  (m2_pboole(D, A, B, C) =>  (! [E] :  (m3_pboole(E, A, B) =>  (r2_pboole(A, B, E) => r6_pboole(A, k1_msafree(A, B, C, E, D), D)) ) ) ) ) ) ) ) ) ) ).
fof(t2_extens_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  (m3_pboole(D, A, B) =>  (! [E] :  (m2_pboole(E, A, B, C) => r2_pboole(A, k9_pboole(A, D, E), k9_pboole(A, B, E))) ) ) ) ) ) ) ) ) ).
fof(t3_extens_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  (m2_pboole(D, A, B, C) =>  (! [E] :  (m3_pboole(E, A, B) =>  (! [F] :  (m3_pboole(F, A, B) =>  (r2_pboole(A, E, F) => r6_pboole(A, k9_pboole(A, E, k1_msafree(A, B, C, F, D)), k9_pboole(A, E, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_extens_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) ) )  =>  (! [E] :  (m2_pboole(E, A, B, C) =>  (! [F] :  (m2_pboole(F, A, C, D) =>  (! [G] :  (m3_pboole(G, A, B) => r6_pboole(A, k1_msafree(A, B, D, G, k3_msualg_3(A, B, C, D, E, F)), k3_msualg_3(A, G, C, D, k1_msafree(A, B, C, G, E), F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_extens_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r1_pzfmisc1(A, B, C) =>  (! [D] :  (m2_pboole(D, A, B, C) =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) )  =>  (m3_pboole(C, A, E) => m2_pboole(D, A, B, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_extens_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  (m2_pboole(D, A, B, C) =>  (! [E] :  (m3_pboole(E, A, B) =>  (v1_msualg_3(D) => v1_msualg_3(k1_msafree(A, B, C, E, D))) ) ) ) ) ) ) ) ) ) ).
fof(t7_extens_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  (m2_pboole(D, A, B, C) =>  (! [E] :  (m3_pboole(E, A, B) => r2_pboole(A, k1_funct_6(k1_msafree(A, B, C, E, D)), k1_funct_6(D))) ) ) ) ) ) ) ) ) ).
fof(t8_extens_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  (m2_pboole(D, A, B, C) =>  (! [E] :  (m3_pboole(E, A, B) => r2_pboole(A, k2_funct_6(k1_msafree(A, B, C, E, D)), k2_funct_6(D))) ) ) ) ) ) ) ) ) ).
fof(t9_extens_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  (m2_pboole(D, A, B, C) =>  (v2_msualg_3(D, A, B, C) <=> r6_pboole(A, k2_funct_6(D), C)) ) ) ) ) ) ) ) ).
fof(t10_extens_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  => r8_pboole(u1_struct_0(A), k2_funct_6(k15_msafree(A, B)), B)) ) ) ) ).
fof(t11_extens_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) ) )  =>  (! [E] :  (m2_pboole(E, A, B, C) =>  (! [F] :  (m2_pboole(F, A, C, D) =>  (! [G] :  ( (v2_relat_1(G) & m3_pboole(G, A, C))  =>  (r2_pboole(A, k2_funct_6(E), G) => k8_pboole(E, k1_msafree(A, C, D, G, F))=k3_msualg_3(A, B, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_extens_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  (m2_pboole(D, A, B, C) =>  (v2_msualg_3(D, A, B, C) <=>  (! [E] :  ( (v1_relat_1(E) &  (v2_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) ) )  =>  (! [F] :  (m2_pboole(F, A, C, E) =>  (! [G] :  (m2_pboole(G, A, C, E) =>  (r6_pboole(A, k3_msualg_3(A, B, C, E, D, F), k3_msualg_3(A, B, C, E, D, G)) => r6_pboole(A, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_extens_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  (m2_pboole(D, A, B, C) =>  (v2_relat_1(B) =>  (v1_msualg_3(D) <=>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) )  =>  (! [F] :  (m2_pboole(F, A, E, B) =>  (! [G] :  (m2_pboole(G, A, E, B) =>  (k8_pboole(F, D)=k8_pboole(G, D) => r6_pboole(A, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_extens_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, k11_msafree(A, C)), u3_msualg_1(A, B)) =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, k11_msafree(A, C)), u3_msualg_1(A, B)) =>  ( (r1_msualg_3(A, k11_msafree(A, C), B, D) &  (r1_msualg_3(A, k11_msafree(A, C), B, E) & r8_pboole(u1_struct_0(A), k1_msafree(u1_struct_0(A), u3_msualg_1(A, k11_msafree(A, C)), u3_msualg_1(A, B), k13_msafree(A, C), D), k1_msafree(u1_struct_0(A), u3_msualg_1(A, k11_msafree(A, C)), u3_msualg_1(A, B), k13_msafree(A, C), E))) )  => r8_pboole(u1_struct_0(A), D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_extens_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (r2_msualg_3(A, B, C, D) =>  (! [E] :  ( (v4_msualg_1(E, A) & l3_msualg_1(E, A))  =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, E)) =>  (! [G] :  (m2_pboole(G, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, E)) =>  (r8_pboole(u1_struct_0(A), k3_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C), u3_msualg_1(A, E), D, F), k3_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C), u3_msualg_1(A, E), D, G)) => r8_pboole(u1_struct_0(A), F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_extens_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (r1_msualg_3(A, B, C, D) =>  (r3_msualg_3(A, B, C, D) <=>  (! [E] :  ( (v4_msualg_1(E, A) & l3_msualg_1(E, A))  =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), u3_msualg_1(A, E), u3_msualg_1(A, B)) =>  (! [G] :  (m2_pboole(G, u1_struct_0(A), u3_msualg_1(A, E), u3_msualg_1(A, B)) =>  ( (r1_msualg_3(A, E, B, F) &  (r1_msualg_3(A, E, B, G) & r8_pboole(u1_struct_0(A), k3_msualg_3(u1_struct_0(A), u3_msualg_1(A, E), u3_msualg_1(A, B), u3_msualg_1(A, C), F, D), k3_msualg_3(u1_struct_0(A), u3_msualg_1(A, E), u3_msualg_1(A, B), u3_msualg_1(A, C), G, D))) )  => r8_pboole(u1_struct_0(A), F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_extens_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B)) =>  (! [D] :  (m3_pboole(D, u1_struct_0(A), u3_msualg_1(A, B)) =>  (m3_pboole(C, u1_struct_0(A), D) => m1_msualg_2(k12_msualg_2(A, B, C), A, k12_msualg_2(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t18_extens_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m1_msualg_2(C, A, B) =>  (! [D] :  (m3_pboole(D, u1_struct_0(A), u3_msualg_1(A, B)) =>  (! [E] :  (m3_pboole(E, u1_struct_0(A), u3_msualg_1(A, C)) =>  (r8_pboole(u1_struct_0(A), D, E) => k12_msualg_2(A, B, D)=k12_msualg_2(A, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_extens_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  (m1_msafree(D, A, B) =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  ( (r1_msualg_3(A, B, C, E) &  (r1_msualg_3(A, B, C, F) & r8_pboole(u1_struct_0(A), k1_msafree(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C), D, E), k1_msafree(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C), D, F))) )  => r8_pboole(u1_struct_0(A), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_extpro_1, axiom,  (! [A] :  (? [B] :  (l1_extpro_1(B, A) & v1_extpro_1(B, A)) ) ) ).
fof(fc1_extpro_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (v13_struct_0(k1_extpro_1(A), 1) & v1_extpro_1(k1_extpro_1(A), A)) ) ) ).
fof(rc2_extpro_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  ~ (v2_struct_0(B)) ) ) ) ) ).
fof(fc2_extpro_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (v2_memstr_0(k1_extpro_1(A), A) & v1_extpro_1(k1_extpro_1(A), A)) ) ) ).
fof(rc3_extpro_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  (v13_struct_0(B, 1) & v2_memstr_0(B, A)) ) ) ) ) ).
fof(fc3_extpro_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (v1_extpro_1(k1_extpro_1(A), A) & v3_extpro_1(k1_extpro_1(A), A)) ) ) ).
fof(rc4_extpro_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) & v3_extpro_1(B, A)) ) ) ) ) ) ).
fof(fc4_extpro_1, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  (v2_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) )  => v2_extpro_1(k2_compos_1(B), A, B)) ) ).
fof(rc5_extpro_1, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  (v2_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) )  =>  (? [C] :  (m1_subset_1(C, u1_compos_1(B)) & v2_extpro_1(C, A, B)) ) ) ) ).
fof(fc5_extpro_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (v3_memstr_0(k1_extpro_1(A), A) & v1_extpro_1(k1_extpro_1(A), A)) ) ) ).
fof(rc6_extpro_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v7_struct_0(B) &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & v1_extpro_1(B, A)) ) ) ) ) ) ) ) ).
fof(rc7_extpro_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v7_struct_0(B) &  (v8_struct_0(B) &  (v13_struct_0(B, 1) &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v1_extpro_1(B, A) & v3_extpro_1(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rd1_extpro_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) & v1_funct_1(C)) ) )  &  (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) ) ) ) )  => k5_extpro_1(A, B, C, D, k5_numbers)=D) ) ).
fof(rc8_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v1_extpro_1(B, A) & v3_extpro_1(B, A)) ) ) ) ) ) ) ) ).
fof(rc9_extpro_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) &  ~ (v2_compos_1(C, B)) ) ) ) ) ) )  =>  (? [D] :  ( ~ (v1_xboole_0(D))  &  (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) &  (v1_finset_1(D) &  (v4_card_3(D) &  (v4_extpro_1(D, A, B, C) & v5_extpro_1(D, A, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc10_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  & v3_memstr_0(B, A)) ) ) ) ) ).
fof(d1_extpro_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( (v1_extpro_1(B, A) & l1_extpro_1(B, A))  =>  (B=k1_extpro_1(A) <=>  (u1_struct_0(B)=k6_domain_1(k4_ordinal1, k5_numbers) &  (u2_struct_0(B)=k5_numbers &  (u1_compos_1(B)=k1_tarski(k3_xtuple_0(k5_numbers, k1_xboole_0, k1_xboole_0)) &  (u1_memstr_0(A, B)=k17_funcop_1(k5_numbers, k5_numbers) &  (u2_memstr_0(A, B)=k7_funcop_1(A, k4_ordinal1) & u1_extpro_1(A, B)=k17_funcop_1(k3_xtuple_0(k5_numbers, k1_xboole_0, k1_xboole_0), k6_partfun1(k4_card_3(k3_relat_1(k17_funcop_1(k5_numbers, k5_numbers), k7_funcop_1(A, k4_ordinal1)))))) ) ) ) ) ) ) ) ) ) ).
fof(d2_extpro_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( (v2_memstr_0(B, A) & l1_extpro_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  => k2_extpro_1(A, B, C, D)=k1_funct_1(k3_funct_2(u1_compos_1(B), k1_funct_2(k4_card_3(k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B))), k4_card_3(k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B)))), u1_extpro_1(A, B), C), D)) ) ) ) ) ) ) ) ).
fof(d3_extpro_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( (v2_memstr_0(B, A) & l1_extpro_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (v2_extpro_1(C, A, B) <=>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  => k2_extpro_1(A, B, C, D)=D) ) ) ) ) ) ) ) ) ).
fof(d4_extpro_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( (v2_memstr_0(B, A) & l1_extpro_1(B, A))  =>  (v3_extpro_1(B, A) <=> v2_extpro_1(k2_compos_1(B), A, B)) ) ) ) ) ).
fof(t1_extpro_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(k1_extpro_1(A))) &  (v1_funct_1(B) &  (v5_funct_1(B, k2_memstr_0(A, k1_extpro_1(A))) & v1_partfun1(B, u1_struct_0(k1_extpro_1(A)))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(k1_extpro_1(A))) => k2_extpro_1(A, k1_extpro_1(A), C, B)=B) ) ) ) ) ) ).
fof(d5_extpro_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, u1_compos_1(B)) & v1_funct_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  => k3_extpro_1(A, B, C, D)=k7_partfun1(u1_compos_1(B), C, k5_memstr_0(A, B, D))) ) ) ) ) ) ) ) ).
fof(d6_extpro_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v1_partfun1(C, u1_struct_0(B))) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, u1_compos_1(B)) & v1_funct_1(D)) )  => k4_extpro_1(A, B, C, D)=k2_extpro_1(A, B, k3_extpro_1(A, B, D, C), C)) ) ) ) ) ) ) ) ).
fof(d7_extpro_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) & v1_funct_1(C)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, u1_struct_0(B)) &  (v1_funct_1(F) &  (v5_funct_1(F, k2_memstr_0(A, B)) & v1_partfun1(F, u1_struct_0(B))) ) ) )  =>  (F=k5_extpro_1(A, B, C, D, E) <=>  (? [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, k4_card_3(k2_memstr_0(A, B))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_card_3(k2_memstr_0(A, B)))))) )  &  (F=k8_nat_1(k4_card_3(k2_memstr_0(A, B)), G, E) &  (k3_funct_2(k4_ordinal1, k4_card_3(k2_memstr_0(A, B)), G, k5_numbers)=D &  (! [H] :  (v7_ordinal1(H) => k3_funct_2(k4_ordinal1, k4_card_3(k2_memstr_0(A, B)), G, k1_nat_1(H, 1))=k4_extpro_1(A, B, k8_nat_1(k4_card_3(k2_memstr_0(A, B)), G, H), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_extpro_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) & v1_funct_1(C)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (r1_extpro_1(A, B, C, D) <=>  (? [E] :  (v7_ordinal1(E) &  (r2_tarski(k5_memstr_0(A, B, k5_extpro_1(A, B, C, D, E)), k9_xtuple_0(C)) & k3_extpro_1(A, B, C, k5_extpro_1(A, B, C, D, E))=k2_compos_1(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) & v1_funct_1(C)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  => k5_extpro_1(A, B, C, D, k5_numbers)=D) ) ) ) ) ) ) ) ).
fof(t3_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) & v1_funct_1(C)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (! [E] :  (v7_ordinal1(E) => k5_extpro_1(A, B, C, D, k1_nat_1(E, 1))=k4_extpro_1(A, B, k5_extpro_1(A, B, C, D, E), C)) ) ) ) ) ) ) ) ) ) ).
fof(t4_extpro_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  ~ (v1_setfam_1(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_memstr_0(C, B) &  (v3_memstr_0(C, B) & l1_extpro_1(C, B)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(C)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(B, C)) & v1_partfun1(D, u1_struct_0(C))) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v5_relat_1(E, u1_compos_1(C)) & v1_funct_1(E)) ) )  =>  (! [F] :  (v7_ordinal1(F) => k5_extpro_1(B, C, E, D, k2_xcmplx_0(A, F))=k5_extpro_1(B, C, E, k5_extpro_1(B, C, E, D, A), F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_extpro_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(A, B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  ~ (v1_setfam_1(C)) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v2_memstr_0(D, C) &  (v3_memstr_0(D, C) &  (v3_extpro_1(D, C) & l1_extpro_1(D, C)) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v5_relat_1(E, u1_compos_1(D)) & v1_funct_1(E)) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, u1_struct_0(D)) &  (v1_funct_1(F) &  (v5_funct_1(F, k2_memstr_0(C, D)) & v1_partfun1(F, u1_struct_0(D))) ) ) )  =>  (k3_extpro_1(C, D, E, k5_extpro_1(C, D, E, F, A))=k2_compos_1(D) => k5_extpro_1(C, D, E, F, B)=k5_extpro_1(C, D, E, F, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) & v1_funct_1(C)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (r1_extpro_1(A, B, C, D) =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(B)) &  (v1_funct_1(E) &  (v5_funct_1(E, k2_memstr_0(A, B)) & v1_partfun1(E, u1_struct_0(B))) ) ) )  =>  (E=k6_extpro_1(A, B, C, D) <=>  (? [F] :  (v7_ordinal1(F) &  (E=k5_extpro_1(A, B, C, D, F) & k3_extpro_1(A, B, C, E)=k2_compos_1(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_extpro_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  ~ (v1_setfam_1(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_memstr_0(C, B) &  (v3_memstr_0(C, B) & l1_extpro_1(C, B)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(C)) &  (v1_funct_1(D) & v1_partfun1(D, k4_ordinal1)) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(C)) &  (v1_funct_1(E) &  (v5_funct_1(E, k2_memstr_0(B, C)) & v1_partfun1(E, u1_struct_0(C))) ) ) )  => k5_extpro_1(B, C, D, E, k1_nat_1(A, 1))=k2_extpro_1(B, C, k3_compos_1(C, D, k5_memstr_0(B, C, k5_extpro_1(B, C, D, E, A))), k5_extpro_1(B, C, D, E, A))) ) ) ) ) ) ) ) ) ) ).
fof(t7_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (! [E] :  (v7_ordinal1(E) =>  (k3_compos_1(B, C, k5_memstr_0(A, B, k5_extpro_1(A, B, C, D, E)))=k2_compos_1(B) => k6_extpro_1(A, B, C, D)=k5_extpro_1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  ( (? [E] :  (v7_ordinal1(E) & k3_compos_1(B, C, k5_memstr_0(A, B, k5_extpro_1(A, B, C, D, E)))=k2_compos_1(B)) )  =>  (! [E] :  (v7_ordinal1(E) => k6_extpro_1(A, B, C, D)=k6_extpro_1(A, B, C, k5_extpro_1(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) & v1_funct_1(C)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) & v5_funct_1(D, k2_memstr_0(A, B))) ) )  =>  (v4_extpro_1(D, A, B, C) <=>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v5_relat_1(E, u1_compos_1(B)) &  (v1_funct_1(E) & v1_partfun1(E, k4_ordinal1)) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, k4_ordinal1) &  (v5_relat_1(F, u1_compos_1(B)) &  (v1_funct_1(F) & v1_partfun1(F, k4_ordinal1)) ) ) )  =>  ( (r1_tarski(C, E) & r1_tarski(C, F))  =>  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, u1_struct_0(B)) &  (v1_funct_1(G) &  (v5_funct_1(G, k2_memstr_0(A, B)) & v1_partfun1(G, u1_struct_0(B))) ) ) )  =>  (! [H] :  ( (v1_relat_1(H) &  (v4_relat_1(H, u1_struct_0(B)) &  (v1_funct_1(H) &  (v5_funct_1(H, k2_memstr_0(A, B)) & v1_partfun1(H, u1_struct_0(B))) ) ) )  =>  ( (r1_tarski(D, G) & r1_tarski(D, H))  =>  (! [I] :  (v7_ordinal1(I) => k5_relat_1(k5_extpro_1(A, B, E, G, I), k9_xtuple_0(D))=k5_relat_1(k5_extpro_1(A, B, F, H, I), k9_xtuple_0(D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) & v1_funct_1(C)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) & v5_funct_1(D, k2_memstr_0(A, B))) ) )  =>  (v5_extpro_1(D, A, B, C) <=>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(B)) &  (v1_funct_1(E) &  (v5_funct_1(E, k2_memstr_0(A, B)) & v1_partfun1(E, u1_struct_0(B))) ) ) )  =>  (r1_tarski(D, E) =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, k4_ordinal1) &  (v5_relat_1(F, u1_compos_1(B)) &  (v1_funct_1(F) & v1_partfun1(F, k4_ordinal1)) ) ) )  =>  (r1_tarski(C, F) => r1_extpro_1(A, B, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, u1_compos_1(B)) =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v5_relat_1(E, u1_compos_1(B)) & v1_funct_1(E)) ) )  =>  (r1_tarski(k17_funcop_1(C, D), E) =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, u1_struct_0(B)) &  (v1_funct_1(F) &  (v5_funct_1(F, k2_memstr_0(A, B)) & v1_partfun1(F, u1_struct_0(B))) ) ) )  =>  (r1_tarski(k17_funcop_1(k4_struct_0(B), C), F) => k3_extpro_1(A, B, E, F)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(B)) & v1_funct_1(D)) ) )  =>  (r1_tarski(k17_funcop_1(C, k2_compos_1(B)), D) =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(B)) &  (v1_funct_1(E) &  (v5_funct_1(E, k2_memstr_0(A, B)) & v5_memstr_0(E, A, B, C)) ) ) )  => v5_extpro_1(E, A, B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(B)) & v1_funct_1(D)) ) )  =>  (r1_tarski(k17_funcop_1(C, k2_compos_1(B)), D) =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(B)) &  (v1_funct_1(E) &  (v5_funct_1(E, k2_memstr_0(A, B)) & v5_memstr_0(E, A, B, C)) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, u1_struct_0(B)) &  (v1_funct_1(F) &  (v5_funct_1(F, k2_memstr_0(A, B)) & v1_partfun1(F, u1_struct_0(B))) ) ) )  =>  (r1_tarski(E, F) =>  (! [G] :  (v7_ordinal1(G) => k5_extpro_1(A, B, D, F, G)=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(B)) & v1_funct_1(D)) ) )  =>  (r1_tarski(k17_funcop_1(C, k2_compos_1(B)), D) =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(B)) &  (v1_funct_1(E) &  (v5_funct_1(E, k2_memstr_0(A, B)) & v5_memstr_0(E, A, B, C)) ) ) )  => v4_extpro_1(E, A, B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) &  ~ (v2_compos_1(C, B)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_finset_1(D)) ) ) )  =>  (m1_extpro_1(D, A, B, C) <=>  (v4_extpro_1(D, A, B, C) & v5_extpro_1(D, A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(d13_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) &  ~ (v2_compos_1(C, B)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_finset_1(D)) ) ) )  =>  (m1_extpro_1(D, A, B, C) =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(B)) &  (v1_funct_1(E) &  (v5_funct_1(E, k2_memstr_0(A, B)) & v1_finset_1(E)) ) ) )  =>  (E=k7_extpro_1(A, B, C, D) <=>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, k4_ordinal1) &  (v5_relat_1(F, u1_compos_1(B)) &  (v1_funct_1(F) & v1_partfun1(F, k4_ordinal1)) ) ) )  =>  (r1_tarski(C, F) =>  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, u1_struct_0(B)) &  (v1_funct_1(G) &  (v5_funct_1(G, k2_memstr_0(A, B)) & v1_partfun1(G, u1_struct_0(B))) ) ) )  =>  (r1_tarski(D, G) => E=k5_relat_1(k6_extpro_1(A, B, F, G), k9_xtuple_0(D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) &  ~ (v2_compos_1(C, B)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_finset_1(D)) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (r2_extpro_1(A, B, C, D, E) <=>  (! [F] :  ~ ( (r2_tarski(F, k9_xtuple_0(E)) &  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, u1_struct_0(B)) &  (v1_funct_1(G) &  (v5_funct_1(G, k2_memstr_0(A, B)) & v1_finset_1(G)) ) ) )  =>  ~ ( (F=G &  (m1_extpro_1(k1_funct_4(D, G), A, B, C) & r1_tarski(k1_funct_1(E, G), k7_extpro_1(A, B, C, k1_funct_4(D, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) &  ~ (v2_compos_1(C, B)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_finset_1(D)) ) ) )  => r2_extpro_1(A, B, C, D, k1_xboole_0)) ) ) ) ) ) ) ) ).
fof(t14_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) &  ~ (v2_compos_1(C, B)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_finset_1(D)) ) ) )  =>  (m1_extpro_1(D, A, B, C) <=> r2_extpro_1(A, B, C, D, k17_funcop_1(k1_xboole_0, k7_extpro_1(A, B, C, D)))) ) ) ) ) ) ) ) ) ).
fof(t15_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) &  ~ (v2_compos_1(C, B)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_finset_1(D)) ) ) )  =>  (m1_extpro_1(D, A, B, C) <=> r2_extpro_1(A, B, C, D, k17_funcop_1(k1_xboole_0, k1_xboole_0))) ) ) ) ) ) ) ) ) ).
fof(t16_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) & v1_funct_1(C)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (r1_extpro_1(A, B, C, D) <=>  (? [E] :  (v7_ordinal1(E) & r1_compos_1(B, C, k5_memstr_0(A, B, k5_extpro_1(A, B, C, D, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) & v1_funct_1(C)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (! [E] :  (v7_ordinal1(E) =>  (r1_extpro_1(A, B, C, D) =>  (k6_extpro_1(A, B, C, D)=k5_extpro_1(A, B, C, D, E) <=> r1_compos_1(B, C, k5_memstr_0(A, B, k5_extpro_1(A, B, C, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) & v1_funct_1(C)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (! [E] :  (v7_ordinal1(E) =>  (r1_compos_1(B, C, k5_memstr_0(A, B, k5_extpro_1(A, B, C, D, E))) => k6_extpro_1(A, B, C, D)=k5_extpro_1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_extpro_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  ~ (v1_setfam_1(C)) )  =>  (r1_xxreal_0(A, B) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v2_memstr_0(D, C) &  (v3_memstr_0(D, C) &  (v3_extpro_1(D, C) & l1_extpro_1(D, C)) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v5_relat_1(E, u1_compos_1(D)) & v1_funct_1(E)) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, u1_struct_0(D)) &  (v1_funct_1(F) &  (v5_funct_1(F, k2_memstr_0(C, D)) & v1_partfun1(F, u1_struct_0(D))) ) ) )  =>  (r1_compos_1(D, E, k5_memstr_0(C, D, k5_extpro_1(C, D, E, F, A))) => r1_compos_1(D, E, k5_memstr_0(C, D, k5_extpro_1(C, D, E, F, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_extpro_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  ~ (v1_setfam_1(C)) )  =>  (r1_xxreal_0(A, B) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v2_memstr_0(D, C) &  (v3_memstr_0(D, C) &  (v3_extpro_1(D, C) & l1_extpro_1(D, C)) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v5_relat_1(E, u1_compos_1(D)) & v1_funct_1(E)) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, u1_struct_0(D)) &  (v1_funct_1(F) &  (v5_funct_1(F, k2_memstr_0(C, D)) & v1_partfun1(F, u1_struct_0(D))) ) ) )  =>  (r1_compos_1(D, E, k5_memstr_0(C, D, k5_extpro_1(C, D, E, F, A))) => k5_extpro_1(C, D, E, F, B)=k5_extpro_1(C, D, E, F, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  ( (? [E] :  (v7_ordinal1(E) & r1_compos_1(B, C, k5_memstr_0(A, B, k5_extpro_1(A, B, C, D, E)))) )  =>  (! [E] :  (v7_ordinal1(E) => k6_extpro_1(A, B, C, D)=k6_extpro_1(A, B, C, k5_extpro_1(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) & v1_funct_1(C)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (r1_extpro_1(A, B, C, D) =>  (! [E] :  (v7_ordinal1(E) =>  (E=k8_extpro_1(A, B, C, D) <=>  (k3_extpro_1(A, B, C, k5_extpro_1(A, B, C, D, E))=k2_compos_1(B) &  (! [F] :  (v7_ordinal1(F) =>  (k3_extpro_1(A, B, C, k5_extpro_1(A, B, C, D, F))=k2_compos_1(B) => r1_xxreal_0(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) & v1_funct_1(C)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (! [E] :  (v7_ordinal1(E) =>  (r1_extpro_1(A, B, C, D) <=> r1_extpro_1(A, B, C, k5_extpro_1(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) & v1_funct_1(C)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (r1_extpro_1(A, B, C, D) => k6_extpro_1(A, B, C, D)=k5_extpro_1(A, B, C, D, k8_extpro_1(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t24_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (! [E] :  (v7_ordinal1(E) =>  (k3_extpro_1(A, B, C, k5_extpro_1(A, B, C, D, E))=k2_compos_1(B) => k5_extpro_1(A, B, C, D, k8_extpro_1(A, B, C, D))=k5_extpro_1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_extpro_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  ~ (v1_setfam_1(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_memstr_0(C, B) &  (v3_memstr_0(C, B) &  (v3_extpro_1(C, B) & l1_extpro_1(C, B)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(C)) & v1_funct_1(D)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(C)) &  (v1_funct_1(E) &  (v5_funct_1(E, k2_memstr_0(B, C)) & v1_partfun1(E, u1_struct_0(C))) ) ) )  =>  ( (r1_xxreal_0(k8_extpro_1(B, C, D, E), A) & r1_extpro_1(B, C, D, E))  => k5_extpro_1(B, C, D, E, A)=k5_extpro_1(B, C, D, E, k8_extpro_1(B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, u1_compos_1(B)) =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(B)) &  (v1_funct_1(E) &  (v5_funct_1(E, k2_memstr_0(A, B)) &  (v1_partfun1(E, u1_struct_0(B)) & v5_memstr_0(E, A, B, C)) ) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, k4_ordinal1) &  (v5_relat_1(F, u1_compos_1(B)) &  (v1_funct_1(F) & v1_partfun1(F, k4_ordinal1)) ) ) )  =>  (r1_tarski(k17_funcop_1(C, D), F) => k4_extpro_1(A, B, E, F)=k2_extpro_1(A, B, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (D=k4_extpro_1(A, B, D, C) =>  (! [E] :  (v7_ordinal1(E) => k5_extpro_1(A, B, C, D, E)=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (! [E] :  (m1_subset_1(E, u1_compos_1(B)) => k1_funct_1(k2_extpro_1(A, B, k3_compos_1(B, C, k5_memstr_0(A, B, D)), D), k4_struct_0(B))=k5_memstr_0(A, B, k4_extpro_1(A, B, D, C))) ) ) ) ) ) ) ) ) ) ).
fof(t29_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (r1_extpro_1(A, B, C, D) <=>  (? [E] :  (v7_ordinal1(E) & k3_extpro_1(A, B, C, k5_extpro_1(A, B, C, D, E))=k2_compos_1(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  ( (? [E] :  (v7_ordinal1(E) & k3_compos_1(B, C, k5_memstr_0(A, B, k5_extpro_1(A, B, C, D, E)))=k2_compos_1(B)) )  => r1_extpro_1(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t32_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (! [E] :  (v7_ordinal1(E) =>  ( (k3_compos_1(B, C, k5_memstr_0(A, B, k5_extpro_1(A, B, C, D, k1_nat_1(E, 1))))=k2_compos_1(B) =>  (k3_compos_1(B, C, k5_memstr_0(A, B, k5_extpro_1(A, B, C, D, E)))=k2_compos_1(B) |  (k8_extpro_1(A, B, C, D)=k1_nat_1(E, 1) & r1_extpro_1(A, B, C, D)) ) )  &  ( (k8_extpro_1(A, B, C, D)=k1_nat_1(E, 1) & r1_extpro_1(A, B, C, D))  =>  ( ~ (k3_compos_1(B, C, k5_memstr_0(A, B, k5_extpro_1(A, B, C, D, E)))=k2_compos_1(B))  & k3_compos_1(B, C, k5_memstr_0(A, B, k5_extpro_1(A, B, C, D, k1_nat_1(E, 1))))=k2_compos_1(B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (! [E] :  (v7_ordinal1(E) =>  (k3_compos_1(B, C, k5_memstr_0(A, B, k5_extpro_1(A, B, C, D, k1_nat_1(E, 1))))=k2_compos_1(B) =>  (k5_memstr_0(A, B, k5_extpro_1(A, B, C, D, E))=k5_memstr_0(A, B, k5_extpro_1(A, B, C, D, k1_nat_1(E, 1))) | k8_extpro_1(A, B, C, D)=k1_nat_1(E, 1)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (! [E] :  (v7_ordinal1(E) =>  (r1_extpro_1(A, B, C, k5_extpro_1(A, B, C, D, E)) =>  (r1_xxreal_0(k8_extpro_1(A, B, C, k5_extpro_1(A, B, C, D, E)), k5_numbers) | k8_extpro_1(A, B, C, D)=k2_xcmplx_0(E, k8_extpro_1(A, B, C, k5_extpro_1(A, B, C, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (! [E] :  (v7_ordinal1(E) =>  (r1_extpro_1(A, B, C, k5_extpro_1(A, B, C, D, E)) => k6_extpro_1(A, B, C, k5_extpro_1(A, B, C, D, E))=k6_extpro_1(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (r1_extpro_1(A, B, C, D) =>  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(k8_extpro_1(A, B, C, D), E) => k3_extpro_1(A, B, C, k5_extpro_1(A, B, C, D, E))=k2_compos_1(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(abstractness_v1_extpro_1, axiom,  (! [A, B] :  (l1_extpro_1(B, A) =>  (v1_extpro_1(B, A) => B=g1_extpro_1(A, u1_struct_0(B), u2_struct_0(B), u1_compos_1(B), u1_memstr_0(A, B), u2_memstr_0(A, B), u1_extpro_1(A, B))) ) ) ).
fof(dt_l1_extpro_1, axiom,  (! [A] :  (! [B] :  (l1_extpro_1(B, A) =>  (l1_memstr_0(B, A) & l1_compos_1(B)) ) ) ) ).
fof(existence_l1_extpro_1, axiom,  (! [A] :  (? [B] : l1_extpro_1(B, A)) ) ).
fof(dt_g1_extpro_1, axiom,  (! [A, B, C, D, E, F, G] :  ( (m1_subset_1(C, B) &  ( (v1_compos_0(D) &  (v2_compos_0(D) &  (v3_compos_0(D) & v5_compos_0(D)) ) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) & v1_partfun1(F, A)) ) )  &  (v1_funct_1(G) &  (v1_funct_2(G, D, k1_funct_2(k4_card_3(k3_relat_1(E, F)), k4_card_3(k3_relat_1(E, F)))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(D, k1_funct_2(k4_card_3(k3_relat_1(E, F)), k4_card_3(k3_relat_1(E, F))))))) ) ) ) ) )  =>  (v1_extpro_1(g1_extpro_1(A, B, C, D, E, F, G), A) & l1_extpro_1(g1_extpro_1(A, B, C, D, E, F, G), A)) ) ) ).
fof(free_g1_extpro_1, axiom,  (! [A, B, C, D, E, F, G] :  ( (m1_subset_1(C, B) &  ( (v1_compos_0(D) &  (v2_compos_0(D) &  (v3_compos_0(D) & v5_compos_0(D)) ) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) & v1_partfun1(F, A)) ) )  &  (v1_funct_1(G) &  (v1_funct_2(G, D, k1_funct_2(k4_card_3(k3_relat_1(E, F)), k4_card_3(k3_relat_1(E, F)))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(D, k1_funct_2(k4_card_3(k3_relat_1(E, F)), k4_card_3(k3_relat_1(E, F))))))) ) ) ) ) )  =>  (! [H, I, J, K, L, M, N] :  (g1_extpro_1(A, B, C, D, E, F, G)=g1_extpro_1(H, I, J, K, L, M, N) =>  (A=H &  (B=I &  (C=J &  (D=K &  (E=L &  (F=M & G=N) ) ) ) ) ) ) ) ) ) ).
fof(dt_u1_extpro_1, axiom,  (! [A, B] :  (l1_extpro_1(B, A) =>  (v1_funct_1(u1_extpro_1(A, B)) &  (v1_funct_2(u1_extpro_1(A, B), u1_compos_1(B), k1_funct_2(k4_card_3(k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B))), k4_card_3(k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B))))) & m1_subset_1(u1_extpro_1(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_compos_1(B), k1_funct_2(k4_card_3(k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B))), k4_card_3(k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B)))))))) ) ) ) ).
fof(dt_k1_extpro_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (v1_extpro_1(k1_extpro_1(A), A) & l1_extpro_1(k1_extpro_1(A), A)) ) ) ).
fof(dt_k2_extpro_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_setfam_1(A))  &  ( (v2_memstr_0(B, A) & l1_extpro_1(B, A))  &  (m1_subset_1(C, u1_compos_1(B)) &  (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) ) ) ) )  =>  (v1_relat_1(k2_extpro_1(A, B, C, D)) &  (v4_relat_1(k2_extpro_1(A, B, C, D), u1_struct_0(B)) &  (v1_funct_1(k2_extpro_1(A, B, C, D)) &  (v5_funct_1(k2_extpro_1(A, B, C, D), k2_memstr_0(A, B)) & v1_partfun1(k2_extpro_1(A, B, C, D), u1_struct_0(B))) ) ) ) ) ) ).
fof(dt_k3_extpro_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  &  ( (v1_relat_1(C) &  (v5_relat_1(C, u1_compos_1(B)) & v1_funct_1(C)) )  &  (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) ) ) ) )  => m1_subset_1(k3_extpro_1(A, B, C, D), u1_compos_1(B))) ) ).
fof(dt_k4_extpro_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v1_partfun1(C, u1_struct_0(B))) ) ) )  &  (v1_relat_1(D) &  (v5_relat_1(D, u1_compos_1(B)) & v1_funct_1(D)) ) ) ) )  =>  (v1_relat_1(k4_extpro_1(A, B, C, D)) &  (v4_relat_1(k4_extpro_1(A, B, C, D), u1_struct_0(B)) &  (v1_funct_1(k4_extpro_1(A, B, C, D)) &  (v5_funct_1(k4_extpro_1(A, B, C, D), k2_memstr_0(A, B)) & v1_partfun1(k4_extpro_1(A, B, C, D), u1_struct_0(B))) ) ) ) ) ) ).
fof(dt_k5_extpro_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) & v1_funct_1(C)) ) )  &  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  & v7_ordinal1(E)) ) ) )  =>  (v1_relat_1(k5_extpro_1(A, B, C, D, E)) &  (v4_relat_1(k5_extpro_1(A, B, C, D, E), u1_struct_0(B)) &  (v1_funct_1(k5_extpro_1(A, B, C, D, E)) &  (v5_funct_1(k5_extpro_1(A, B, C, D, E), k2_memstr_0(A, B)) & v1_partfun1(k5_extpro_1(A, B, C, D, E), u1_struct_0(B))) ) ) ) ) ) ).
fof(dt_k6_extpro_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) & v1_funct_1(C)) ) )  &  (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) ) ) ) )  =>  (v1_relat_1(k6_extpro_1(A, B, C, D)) &  (v4_relat_1(k6_extpro_1(A, B, C, D), u1_struct_0(B)) &  (v1_funct_1(k6_extpro_1(A, B, C, D)) &  (v5_funct_1(k6_extpro_1(A, B, C, D), k2_memstr_0(A, B)) & v1_partfun1(k6_extpro_1(A, B, C, D), u1_struct_0(B))) ) ) ) ) ) ).
fof(dt_m1_extpro_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) &  ~ (v2_compos_1(C, B)) ) ) ) ) ) )  =>  (! [D] :  (m1_extpro_1(D, A, B, C) =>  (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_finset_1(D)) ) ) ) ) ) ) ) ).
fof(existence_m1_extpro_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) &  ~ (v2_compos_1(C, B)) ) ) ) ) ) )  =>  (? [D] : m1_extpro_1(D, A, B, C)) ) ) ).
fof(dt_k7_extpro_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) &  (v1_funct_1(C) &  ~ (v2_compos_1(C, B)) ) ) ) )  &  (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_finset_1(D)) ) ) ) ) ) )  =>  (v1_relat_1(k7_extpro_1(A, B, C, D)) &  (v4_relat_1(k7_extpro_1(A, B, C, D), u1_struct_0(B)) &  (v1_funct_1(k7_extpro_1(A, B, C, D)) &  (v5_funct_1(k7_extpro_1(A, B, C, D), k2_memstr_0(A, B)) & v1_finset_1(k7_extpro_1(A, B, C, D))) ) ) ) ) ) ).
fof(dt_k8_extpro_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) & v1_funct_1(C)) ) )  &  (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) ) ) ) )  => v7_ordinal1(k8_extpro_1(A, B, C, D))) ) ).
fof(ie1_extreal1, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xcmplx_0(B))  =>  (A=B => k3_extreal1(A)=k9_complex1(B)) ) ) ).
fof(fc1_extreal1, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) =>  ~ (v3_xxreal_0(k3_extreal1(A))) ) ) ).
fof(t1_extreal1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (A=C & B=D)  => k4_xxreal_3(A, B)=k3_xcmplx_0(C, D)) ) ) ) ) ) ) ) ) ).
fof(t2_extreal1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (A=C & B=D)  => k2_extreal1(A, B)=k2_extreal1(C, D)) ) ) ) ) ) ) ) ) ).
fof(d1_extreal1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  ( (r1_xxreal_0(k5_numbers, A) => k3_extreal1(A)=A)  &  ( ~ (r1_xxreal_0(k5_numbers, A))  => k3_extreal1(A)=k2_xxreal_3(A)) ) ) ) ).
fof(t3_extreal1, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) =>  (r1_xxreal_0(k5_numbers, A) => k3_extreal1(A)=A) ) ) ).
fof(t4_extreal1, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) =>  ( ~ (r1_xxreal_0(k5_numbers, A))  => k3_extreal1(A)=k2_supinf_2(A)) ) ) ).
fof(d2_extreal1, axiom,  (! [A] :  (m2_finseq_1(A, k6_numbers) =>  (! [B] :  (m1_subset_1(B, k6_numbers) =>  (B=k4_extreal1(A) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  &  (B=k12_supinf_2(C, k3_finseq_1(A)) &  (k12_supinf_2(C, k5_numbers)=k1_supinf_2 &  (! [D] :  (v7_ordinal1(D) =>  ( ~ (r1_xxreal_0(k3_finseq_1(A), D))  => k12_supinf_2(C, k1_nat_1(D, 1))=k3_supinf_2(k12_supinf_2(C, D), k12_supinf_2(A, k1_nat_1(D, 1)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_extreal1, axiom, k4_extreal1(k6_finseq_1(k6_numbers))=k1_supinf_2).
fof(t8_extreal1, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) => k4_extreal1(k12_finseq_1(k6_numbers, A))=A) ) ).
fof(t9_extreal1, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) =>  (! [B] :  (m1_subset_1(B, k6_numbers) => k4_extreal1(k2_finseq_4(k6_numbers, A, B))=k3_supinf_2(A, B)) ) ) ) ).
fof(t10_extreal1, axiom,  (! [A] :  (m2_finseq_1(A, k6_numbers) =>  (! [B] :  (m2_finseq_1(B, k6_numbers) =>  ~ ( ( ~ (r2_tarski(k2_supinf_1, k2_relset_1(k6_numbers, A)))  &  ( ~ (r2_tarski(k2_supinf_1, k2_relset_1(k6_numbers, B)))  &  ~ (k4_extreal1(k8_finseq_1(k6_numbers, A, B))=k3_supinf_2(k4_extreal1(A), k4_extreal1(B))) ) ) ) ) ) ) ) ).
fof(t11_extreal1, axiom,  (! [A] :  (m2_finseq_1(A, k6_numbers) =>  (! [B] :  (m2_finseq_1(B, k6_numbers) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_1(A), k4_finseq_1(A)) &  (v3_funct_2(C, k4_finseq_1(A), k4_finseq_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(A), k4_finseq_1(A))))) ) )  =>  (B=k1_partfun1(k4_finseq_1(A), k4_finseq_1(A), k4_ordinal1, k6_numbers, C, A) =>  (r2_tarski(k2_supinf_1, k2_relset_1(k6_numbers, A)) | k4_extreal1(A)=k4_extreal1(B)) ) ) ) ) ) ) ) ).
fof(t12_extreal1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (A=B => k3_extreal1(A)=k9_complex1(B)) ) ) ) ) ).
fof(t13_extreal1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (k3_extreal1(A)=A | k3_extreal1(A)=k2_xxreal_3(A)) ) ) ).
fof(t14_extreal1, axiom,  (! [A] :  (v1_xxreal_0(A) => r1_xxreal_0(k5_numbers, k3_extreal1(A))) ) ).
fof(t15_extreal1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  ~ ( ( ~ (A=k5_numbers)  & r1_xxreal_0(k3_extreal1(A), k5_numbers)) ) ) ) ).
fof(t16_extreal1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (A=k5_numbers <=> k3_extreal1(A)=k5_numbers) ) ) ).
fof(t17_extreal1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  ~ ( (k3_extreal1(A)=k2_xxreal_3(A) &  ( ~ (A=k5_numbers)  & r1_xxreal_0(k5_numbers, A)) ) ) ) ) ).
fof(t18_extreal1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (r1_xxreal_0(A, k5_numbers) => k3_extreal1(A)=k2_xxreal_3(A)) ) ) ).
fof(t19_extreal1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) => k3_extreal1(k4_xxreal_3(A, B))=k1_extreal1(k3_extreal1(A), k3_extreal1(B))) ) ) ) ).
fof(t20_extreal1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (r1_xxreal_0(k2_supinf_2(k3_extreal1(A)), A) & r1_xxreal_0(A, k3_extreal1(A))) ) ) ).
fof(t21_extreal1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  ( ~ (r1_xxreal_0(B, k3_extreal1(A)))  =>  ( ~ (r1_xxreal_0(A, k2_xxreal_3(B)))  &  ~ (r1_xxreal_0(B, A)) ) ) ) ) ) ) ).
fof(t22_extreal1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, k2_xxreal_3(B)))  &  ( ~ (r1_xxreal_0(B, A))  &  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  ~ (r1_xxreal_0(B, k3_extreal1(A))) ) ) ) ) ) ) ) ) ) ).
fof(t23_extreal1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  ( (r1_xxreal_0(k2_xxreal_3(B), A) & r1_xxreal_0(A, B))  <=> r1_xxreal_0(k3_extreal1(A), B)) ) ) ) ) ).
fof(t24_extreal1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) => r1_xxreal_0(k3_extreal1(k1_xxreal_3(A, B)), k3_supinf_2(k3_extreal1(A), k3_extreal1(B)))) ) ) ) ).
fof(t25_extreal1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k2_supinf_1))  &  ( ~ (r1_xxreal_0(k1_supinf_1, A))  &  ( ~ (A=k5_numbers)  &  ~ (k1_extreal1(k3_extreal1(A), k3_extreal1(k2_extreal1(k18_supinf_2, A)))=k18_supinf_2) ) ) ) ) ) ) ).
fof(t26_extreal1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  ( (A=k1_supinf_1 | A=k2_supinf_1)  => k1_extreal1(k3_extreal1(A), k3_extreal1(k2_extreal1(k18_supinf_2, A)))=k5_numbers) ) ) ).
fof(t27_extreal1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  ( ~ (A=k5_numbers)  => k3_extreal1(k2_extreal1(k18_supinf_2, A))=k2_extreal1(k18_supinf_2, k3_extreal1(A))) ) ) ).
fof(t28_extreal1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  ~ ( ( ~ ( ( (A=k2_supinf_1 | A=k1_supinf_1)  &  (B=k2_supinf_1 | B=k1_supinf_1) ) )  &  ( ~ (B=k5_numbers)  &  ~ (k3_extreal1(k2_extreal1(A, B))=k2_extreal1(k3_extreal1(A), k3_extreal1(B))) ) ) ) ) ) ) ) ).
fof(t29_extreal1, axiom,  (! [A] :  (v1_xxreal_0(A) => k3_extreal1(A)=k3_extreal1(k2_xxreal_3(A))) ) ).
fof(t30_extreal1, axiom,  (k3_extreal1(k1_supinf_1)=k1_supinf_1 & k3_extreal1(k2_supinf_1)=k1_supinf_1) ).
fof(t31_extreal1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  ( (v1_xreal_0(A) | v1_xreal_0(B))  => r1_xxreal_0(k4_supinf_2(k3_extreal1(A), k3_extreal1(B)), k3_extreal1(k3_xxreal_3(A, B)))) ) ) ) ) ).
fof(t32_extreal1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) => r1_xxreal_0(k3_extreal1(k3_xxreal_3(A, B)), k3_supinf_2(k3_extreal1(A), k3_extreal1(B)))) ) ) ) ).
fof(t34_extreal1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  (v1_xxreal_0(C) =>  (! [D] :  (v1_xxreal_0(D) =>  ( (r1_xxreal_0(k3_extreal1(A), D) & r1_xxreal_0(k3_extreal1(B), C))  => r1_xxreal_0(k3_extreal1(k1_xxreal_3(A, B)), k1_xxreal_3(D, C))) ) ) ) ) ) ) ) ) ).
fof(t35_extreal1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  ( (v1_xreal_0(A) | v1_xreal_0(B))  => r1_xxreal_0(k3_extreal1(k4_supinf_2(k3_extreal1(A), k3_extreal1(B))), k3_extreal1(k3_xxreal_3(A, B)))) ) ) ) ) ).
fof(t36_extreal1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (r1_xxreal_0(k5_numbers, k4_xxreal_3(A, B)) => k3_extreal1(k1_xxreal_3(A, B))=k3_supinf_2(k3_extreal1(A), k3_extreal1(B))) ) ) ) ) ).
fof(t37_extreal1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  ~ ( ( ~ (A=k1_supinf_1)  &  ( ~ (B=k1_supinf_1)  &  ( ~ ( (A=k1_supinf_1 & B=k1_supinf_1) )  &  ( ~ ( (A=k2_supinf_1 & B=k2_supinf_1) )  &  ~ (k3_xxreal_0(A, B)=k2_extreal1(k3_xxreal_3(k1_xxreal_3(A, B), k3_extreal1(k3_xxreal_3(A, B))), 2)) ) ) ) ) ) ) ) ) ) ).
fof(t38_extreal1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  ~ ( ( ~ (A=k2_supinf_1)  &  ( ~ (B=k2_supinf_1)  &  ( ~ ( (A=k1_supinf_1 & B=k1_supinf_1) )  &  ( ~ ( (A=k2_supinf_1 & B=k2_supinf_1) )  &  ~ (k4_xxreal_0(A, B)=k2_extreal1(k1_xxreal_3(k1_xxreal_3(A, B), k3_extreal1(k3_xxreal_3(A, B))), 2)) ) ) ) ) ) ) ) ) ) ).
fof(t39_extreal1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) => k1_xxreal_3(k3_xxreal_0(A, B), k4_xxreal_0(A, B))=k1_xxreal_3(A, B)) ) ) ) ).
fof(t40_extreal1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  ~ ( (k3_extreal1(A)=k1_supinf_1 &  ( ~ (A=k1_supinf_1)  &  ~ (A=k2_supinf_1) ) ) ) ) ) ).
fof(t41_extreal1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  ( ~ (r1_xxreal_0(k1_supinf_1, k3_extreal1(A)))  <=> r2_hidden(A, k1_numbers)) ) ) ).
fof(dt_k1_extreal1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k6_numbers) & m1_subset_1(B, k6_numbers))  => m1_subset_1(k1_extreal1(A, B), k6_numbers)) ) ).
fof(commutativity_k1_extreal1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k6_numbers) & m1_subset_1(B, k6_numbers))  => k1_extreal1(A, B)=k1_extreal1(B, A)) ) ).
fof(redefinition_k1_extreal1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k6_numbers) & m1_subset_1(B, k6_numbers))  => k1_extreal1(A, B)=k4_xxreal_3(A, B)) ) ).
fof(dt_k2_extreal1, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => m1_subset_1(k2_extreal1(A, B), k6_numbers)) ) ).
fof(redefinition_k2_extreal1, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => k2_extreal1(A, B)=k6_xxreal_3(A, B)) ) ).
fof(dt_k3_extreal1, axiom,  (! [A] :  (v1_xxreal_0(A) => m1_subset_1(k3_extreal1(A), k6_numbers)) ) ).
fof(projectivity_k3_extreal1, axiom,  (! [A] :  (v1_xxreal_0(A) => k3_extreal1(k3_extreal1(A))=k3_extreal1(A)) ) ).
fof(dt_k4_extreal1, axiom,  (! [A] :  (m1_finseq_1(A, k6_numbers) => m1_subset_1(k4_extreal1(A), k6_numbers)) ) ).
fof(dt_k5_extreal1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k6_numbers) & m1_subset_1(B, k6_numbers))  => m1_subset_1(k5_extreal1(A, B), k6_numbers)) ) ).
fof(commutativity_k5_extreal1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k6_numbers) & m1_subset_1(B, k6_numbers))  => k5_extreal1(A, B)=k5_extreal1(B, A)) ) ).
fof(idempotence_k5_extreal1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k6_numbers) & m1_subset_1(B, k6_numbers))  => k5_extreal1(A, A)=A) ) ).
fof(redefinition_k5_extreal1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k6_numbers) & m1_subset_1(B, k6_numbers))  => k5_extreal1(A, B)=k4_xxreal_0(A, B)) ) ).
fof(dt_k6_extreal1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k6_numbers) & m1_subset_1(B, k6_numbers))  => m1_subset_1(k6_extreal1(A, B), k6_numbers)) ) ).
fof(commutativity_k6_extreal1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k6_numbers) & m1_subset_1(B, k6_numbers))  => k6_extreal1(A, B)=k6_extreal1(B, A)) ) ).
fof(idempotence_k6_extreal1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k6_numbers) & m1_subset_1(B, k6_numbers))  => k6_extreal1(A, A)=A) ) ).
fof(redefinition_k6_extreal1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k6_numbers) & m1_subset_1(B, k6_numbers))  => k6_extreal1(A, B)=k3_xxreal_0(A, B)) ) ).
fof(cc1_facirc_1, axiom,  (! [A] :  (v1_xtuple_0(A) =>  ~ (v1_xboole_0(A)) ) ) ).
fof(rc1_facirc_1, axiom,  (? [A] :  ~ (v1_xtuple_0(A)) ) ).
fof(cc2_facirc_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v1_xtuple_0(A)) ) ) ) ).
fof(cc3_facirc_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  ~ (v1_facirc_1(A)) ) ) ).
fof(fc1_facirc_1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  ~ (v1_facirc_1(k1_tarski(A))) ) ) ).
fof(fc2_facirc_1, axiom,  (! [A, B] :  ( ( ~ (v1_xtuple_0(A))  &  ~ (v1_xtuple_0(B)) )  =>  ~ (v1_facirc_1(k2_tarski(A, B))) ) ) ).
fof(fc3_facirc_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xtuple_0(A))  &  ( ~ (v1_xtuple_0(B))  &  ~ (v1_xtuple_0(C)) ) )  =>  ~ (v1_facirc_1(k1_enumset1(A, B, C))) ) ) ).
fof(rc2_facirc_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ~ (v1_facirc_1(A)) ) ) ).
fof(fc4_facirc_1, axiom,  (! [A, B] :  ( ( ~ (v1_facirc_1(A))  &  ~ (v1_facirc_1(B)) )  =>  ~ (v1_facirc_1(k2_xboole_0(A, B))) ) ) ).
fof(fc5_facirc_1, axiom,  (! [A, B] :  ( ~ (v1_facirc_1(A))  =>  ~ (v1_facirc_1(k4_xboole_0(A, B))) ) ) ).
fof(fc6_facirc_1, axiom,  (! [A, B] :  ( ~ (v1_facirc_1(A))  =>  ~ (v1_facirc_1(k3_xboole_0(A, B))) ) ) ).
fof(fc7_facirc_1, axiom,  (! [A, B] :  ( ~ (v1_facirc_1(A))  =>  ~ (v1_facirc_1(k3_xboole_0(B, A))) ) ) ).
fof(fc8_facirc_1, axiom,  (! [A] :  (v1_xtuple_0(A) => v1_relat_1(k1_tarski(A))) ) ).
fof(fc9_facirc_1, axiom,  (! [A, B] :  ( (v1_xtuple_0(A) & v1_xtuple_0(B))  => v1_relat_1(k2_tarski(A, B))) ) ).
fof(fc10_facirc_1, axiom,  (! [A, B, C] :  ( (v1_xtuple_0(A) &  (v1_xtuple_0(B) & v1_xtuple_0(C)) )  => v1_relat_1(k1_enumset1(A, B, C))) ) ).
fof(cc4_facirc_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  ~ (v1_facirc_1(A)) )  => v1_xboole_0(A)) ) ).
fof(fc11_facirc_1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  => v2_facirc_1(k5_finseq_1(A))) ) ).
fof(fc12_facirc_1, axiom,  (! [A, B] :  ( ( ~ (v1_xtuple_0(A))  &  ~ (v1_xtuple_0(B)) )  => v2_facirc_1(k10_finseq_1(A, B))) ) ).
fof(fc13_facirc_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xtuple_0(A))  &  ( ~ (v1_xtuple_0(B))  &  ~ (v1_xtuple_0(C)) ) )  => v2_facirc_1(k11_finseq_1(A, B, C))) ) ).
fof(rc3_facirc_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v2_funct_1(B) &  (v1_finset_1(B) &  (v3_card_1(B, A) &  (v1_finseq_1(B) &  (v2_finseq_1(B) &  (v4_card_3(B) & v2_facirc_1(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc4_facirc_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v2_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v4_card_3(A) & v2_facirc_1(A)) ) ) ) ) ) ) ) ) ).
fof(fc14_facirc_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_facirc_1(A)) )  =>  ~ (v1_facirc_1(k10_xtuple_0(A))) ) ) ).
fof(fc15_facirc_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v5_circcomb(A) & l1_msualg_1(A)) ) )  & m1_subset_1(B, u4_struct_0(A)))  =>  (v1_relat_1(k2_xtuple_0(B)) & v1_funct_1(k2_xtuple_0(B))) ) ) ).
fof(fc16_facirc_1, axiom,  (! [A, B, C, D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(2, k5_margrel1), k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, k5_margrel1), k5_margrel1)))) )  => v1_xtuple_0(k9_facirc_1(A, B, C, D))) ) ).
fof(d2_facirc_1, axiom,  (! [A] :  (v1_facirc_1(A) <=>  (? [B] :  (v1_xtuple_0(B) & r2_hidden(B, A)) ) ) ) ).
fof(d3_facirc_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v2_facirc_1(A) <=>  (! [B] :  ~ ( (r2_tarski(B, k9_xtuple_0(A)) & v1_xtuple_0(k1_funct_1(A, B))) ) ) ) ) ) ).
fof(t1_facirc_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  ~ ( (v2_facirc_1(A) & v1_facirc_1(k10_xtuple_0(A))) ) ) ) ).
fof(t2_facirc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  ( (r1_circcomb(A, B) &  (v1_relat_1(k3_msafree2(A)) & v1_relat_1(k3_msafree2(B))) )  => v1_relat_1(k3_msafree2(k2_circcomb(A, B)))) ) ) ) ) ).
fof(t3_facirc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_circcomb(A) &  (v2_circcomb(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_circcomb(B) &  (v2_circcomb(B) & l1_msualg_1(B)) ) )  =>  ( (v1_relat_1(k3_msafree2(A)) & v1_relat_1(k3_msafree2(B)))  => v1_relat_1(k3_msafree2(k2_circcomb(A, B)))) ) ) ) ) ).
fof(t4_facirc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  ( (r1_circcomb(A, B) & r1_xboole_0(k3_msafree2(B), k2_msafree2(A)))  =>  (r1_tarski(k2_msafree2(A), k2_msafree2(k2_circcomb(A, B))) & k2_msafree2(k2_circcomb(A, B))=k2_xboole_0(k2_msafree2(A), k7_subset_1(u1_struct_0(B), k2_msafree2(B), k3_msafree2(A)))) ) ) ) ) ) ).
fof(t5_facirc_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (v1_facirc_1(A) | r1_xboole_0(A, B)) ) ) ) ).
fof(t6_facirc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_circcomb(A) &  (v2_circcomb(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_circcomb(B) &  (v2_circcomb(B) & l1_msualg_1(B)) ) )  =>  (v1_relat_1(k3_msafree2(B)) =>  (v1_facirc_1(k2_msafree2(A)) |  (r1_tarski(k2_msafree2(A), k2_msafree2(k2_circcomb(A, B))) & k2_msafree2(k2_circcomb(A, B))=k2_xboole_0(k2_msafree2(A), k7_subset_1(u1_struct_0(B), k2_msafree2(B), k3_msafree2(A)))) ) ) ) ) ) ) ).
fof(t7_facirc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_circcomb(A) &  (v2_circcomb(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_circcomb(B) &  (v2_circcomb(B) & l1_msualg_1(B)) ) )  =>  ( (v1_relat_1(k3_msafree2(A)) & v1_relat_1(k3_msafree2(B)))  =>  (v1_facirc_1(k2_msafree2(A)) |  (v1_facirc_1(k2_msafree2(B)) | k2_msafree2(k2_circcomb(A, B))=k2_xboole_0(k2_msafree2(A), k2_msafree2(B))) ) ) ) ) ) ) ).
fof(t8_facirc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  ~ ( (r1_circcomb(A, B) &  ( ~ (v1_facirc_1(k2_msafree2(A)))  &  ( ~ (v1_facirc_1(k2_msafree2(B)))  & v1_facirc_1(k2_msafree2(k2_circcomb(A, B)))) ) ) ) ) ) ) ) ).
fof(t9_facirc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_circcomb(A) &  (v2_circcomb(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_circcomb(B) &  (v2_circcomb(B) & l1_msualg_1(B)) ) )  =>  ~ ( ( ~ (v1_facirc_1(k2_msafree2(A)))  &  ( ~ (v1_facirc_1(k2_msafree2(B)))  & v1_facirc_1(k2_msafree2(k2_circcomb(A, B)))) ) ) ) ) ) ) ).
fof(d4_facirc_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(2, k5_margrel1), k5_margrel1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, k5_margrel1), k5_margrel1)))) )  =>  (A=k1_facirc_1 <=>  (! [B] :  (m1_subset_1(B, k5_margrel1) =>  (! [C] :  (m1_subset_1(C, k5_margrel1) => k1_funct_1(A, k10_finseq_1(B, C))=k2_binarith(B, C)) ) ) ) ) ) ) ).
fof(d5_facirc_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(2, k5_margrel1), k5_margrel1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, k5_margrel1), k5_margrel1)))) )  =>  (A=k2_facirc_1 <=>  (! [B] :  (m1_subset_1(B, k5_margrel1) =>  (! [C] :  (m1_subset_1(C, k5_margrel1) => k1_funct_1(A, k10_finseq_1(B, C))=k1_binarith(B, C)) ) ) ) ) ) ) ).
fof(d6_facirc_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(2, k5_margrel1), k5_margrel1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, k5_margrel1), k5_margrel1)))) )  =>  (A=k3_facirc_1 <=>  (! [B] :  (m1_subset_1(B, k5_margrel1) =>  (! [C] :  (m1_subset_1(C, k5_margrel1) => k1_funct_1(A, k10_finseq_1(B, C))=k9_margrel1(B, C)) ) ) ) ) ) ) ).
fof(d7_facirc_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(3, k5_margrel1), k5_margrel1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3, k5_margrel1), k5_margrel1)))) )  =>  (A=k4_facirc_1 <=>  (! [B] :  (m1_subset_1(B, k5_margrel1) =>  (! [C] :  (m1_subset_1(C, k5_margrel1) =>  (! [D] :  (m1_subset_1(D, k5_margrel1) => k1_funct_1(A, k11_finseq_1(B, C, D))=k1_binarith(k1_binarith(B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t10_facirc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) => k1_funct_1(k6_circuit2(A, B, C), k2_msualg_1(A, D))=k1_funct_1(k5_msualg_1(A, D, B), k3_relat_1(k1_msualg_1(A, D), C))) ) ) ) ) ) ) ) ).
fof(d8_facirc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, k4_card_3(u3_msualg_1(A, B))) =>  (E=k5_facirc_1(A, B, C, D) <=>  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k4_card_3(u3_msualg_1(A, B))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_card_3(u3_msualg_1(A, B)))))) )  &  (E=k8_nat_1(k4_card_3(u3_msualg_1(A, B)), F, D) &  (k8_nat_1(k4_card_3(u3_msualg_1(A, B)), F, k5_numbers)=C &  (! [G] :  (v7_ordinal1(G) => k8_nat_1(k4_card_3(u3_msualg_1(A, B)), F, k1_nat_1(G, 1))=k6_circuit2(A, B, k8_nat_1(k4_card_3(u3_msualg_1(A, B)), F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_facirc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) => k5_facirc_1(A, B, C, k5_numbers)=C) ) ) ) ) ) ).
fof(t12_facirc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) =>  (! [D] :  (v7_ordinal1(D) => k5_facirc_1(A, B, C, k1_nat_1(D, 1))=k6_circuit2(A, B, k5_facirc_1(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t13_facirc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) => k5_facirc_1(A, B, C, k2_xcmplx_0(D, E))=k5_facirc_1(A, B, k5_facirc_1(A, B, C, D), E)) ) ) ) ) ) ) ) ) ) ).
fof(t14_facirc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) => k5_facirc_1(A, B, C, 1)=k6_circuit2(A, B, C)) ) ) ) ) ) ).
fof(t15_facirc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) => k5_facirc_1(A, B, C, 2)=k6_circuit2(A, B, k6_circuit2(A, B, C))) ) ) ) ) ) ).
fof(t16_facirc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) =>  (! [D] :  (v7_ordinal1(D) => k5_facirc_1(A, B, C, k1_nat_1(D, 1))=k5_facirc_1(A, B, k6_circuit2(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(d9_facirc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) =>  (! [D] :  (r1_facirc_1(A, B, C, D) <=>  (! [E] :  (v7_ordinal1(E) => k1_funct_1(k5_facirc_1(A, B, C, E), D)=k1_funct_1(C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t17_facirc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) =>  (! [D] :  (r1_facirc_1(A, B, C, D) =>  (! [E] :  (v7_ordinal1(E) => r1_facirc_1(A, B, k5_facirc_1(A, B, C, E), D)) ) ) ) ) ) ) ) ) ) ).
fof(t18_facirc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) =>  (! [D] :  (r2_tarski(D, k2_msafree2(A)) => r1_facirc_1(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t19_facirc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  ( (! [E] :  (r2_tarski(E, k10_xtuple_0(k1_msualg_1(A, D))) => r1_facirc_1(A, B, C, E)) )  => r1_facirc_1(A, B, k6_circuit2(A, B, C), k2_msualg_1(A, D))) ) ) ) ) ) ) ) ) ).
fof(t20_facirc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, u1_struct_0(k2_circcomb(A, B))) & r2_tarski(C, u1_struct_0(k2_circcomb(B, A)))) ) ) ) ) ) ) ).
fof(t21_facirc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_circcomb(A) &  (v2_circcomb(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_circcomb(B) &  (v2_circcomb(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  (r2_tarski(C, k3_msafree2(A)) =>  (r2_tarski(C, k3_msafree2(k2_circcomb(A, B))) & r2_tarski(C, k3_msafree2(k2_circcomb(B, A)))) ) ) ) ) ) ) ).
fof(t22_facirc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  (r2_tarski(C, k3_msafree2(B)) => r2_tarski(C, k3_msafree2(k2_circcomb(A, B)))) ) ) ) ) ) ).
fof(t23_facirc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_circcomb(A) &  (v2_circcomb(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_circcomb(B) &  (v2_circcomb(B) & l1_msualg_1(B)) ) )  => k2_circcomb(A, B)=k2_circcomb(B, A)) ) ) ) ).
fof(t24_facirc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_circcomb(A) &  (v2_circcomb(A) &  (v3_circcomb(A) & l1_msualg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_circcomb(B) &  (v2_circcomb(B) &  (v3_circcomb(B) & l1_msualg_1(B)) ) ) ) )  =>  (! [C] :  ( (v4_msafree2(C, A) &  (v4_circcomb(C, A) &  (v6_circcomb(C, A) & l3_msualg_1(C, A)) ) )  =>  (! [D] :  ( (v4_msafree2(D, B) &  (v4_circcomb(D, B) &  (v6_circcomb(D, B) & l3_msualg_1(D, B)) ) )  => k3_circcomb(A, B, C, D)=k3_circcomb(B, A, D, C)) ) ) ) ) ) ) ) ).
fof(t25_facirc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_circcomb(A) &  (v2_circcomb(A) &  (v3_circcomb(A) & l1_msualg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_circcomb(B) &  (v2_circcomb(B) &  (v3_circcomb(B) & l1_msualg_1(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v1_circcomb(C) &  (v2_circcomb(C) &  (v3_circcomb(C) & l1_msualg_1(C)) ) ) ) )  =>  (! [D] :  ( (v4_msafree2(D, A) &  (v6_circcomb(D, A) & l3_msualg_1(D, A)) )  =>  (! [E] :  ( (v4_msafree2(E, B) &  (v6_circcomb(E, B) & l3_msualg_1(E, B)) )  =>  (! [F] :  ( (v4_msafree2(F, C) &  (v6_circcomb(F, C) & l3_msualg_1(F, C)) )  => k3_circcomb(k2_circcomb(A, B), C, k3_circcomb(A, B, D, E), F)=k3_circcomb(A, k2_circcomb(B, C), D, k3_circcomb(B, C, E, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_facirc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_circcomb(A) &  (v2_circcomb(A) &  (v3_circcomb(A) & l1_msualg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_circcomb(B) &  (v2_circcomb(B) &  (v3_circcomb(B) & l1_msualg_1(B)) ) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v4_msafree2(C, A) &  (v4_circcomb(C, A) &  (v6_circcomb(C, A) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  ( (v4_msualg_1(D, B) &  (v4_msafree2(D, B) &  (v4_circcomb(D, B) &  (v6_circcomb(D, B) & l3_msualg_1(D, B)) ) ) )  =>  (! [E] :  (m1_subset_1(E, k4_card_3(u3_msualg_1(k2_circcomb(A, B), k3_circcomb(A, B, C, D)))) =>  (m1_subset_1(k11_card_3(u3_msualg_1(k2_circcomb(A, B), k3_circcomb(A, B, C, D)), E, u1_struct_0(A)), k4_card_3(u3_msualg_1(A, C))) & m1_subset_1(k11_card_3(u3_msualg_1(k2_circcomb(A, B), k3_circcomb(A, B, C, D)), E, u1_struct_0(B)), k4_card_3(u3_msualg_1(B, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_facirc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_circcomb(A) &  (v2_circcomb(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_circcomb(B) &  (v2_circcomb(B) & l1_msualg_1(B)) ) )  => k3_msafree2(k2_circcomb(A, B))=k2_xboole_0(k3_msafree2(A), k3_msafree2(B))) ) ) ) ).
fof(t28_facirc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_circcomb(A) &  (v2_circcomb(A) &  (v3_circcomb(A) & l1_msualg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_circcomb(B) &  (v2_circcomb(B) &  (v3_circcomb(B) & l1_msualg_1(B)) ) ) ) )  =>  (r1_xboole_0(k3_msafree2(B), k2_msafree2(A)) =>  (! [C] :  ( (v4_msafree2(C, A) &  (v4_circcomb(C, A) &  (v6_circcomb(C, A) & l3_msualg_1(C, A)) ) )  =>  (! [D] :  ( (v4_msafree2(D, B) &  (v4_circcomb(D, B) &  (v6_circcomb(D, B) & l3_msualg_1(D, B)) ) )  =>  (! [E] :  (m1_subset_1(E, k4_card_3(u3_msualg_1(k2_circcomb(A, B), k3_circcomb(A, B, C, D)))) =>  (! [F] :  (m1_subset_1(F, k4_card_3(u3_msualg_1(A, C))) =>  (F=k11_card_3(u3_msualg_1(k2_circcomb(A, B), k3_circcomb(A, B, C, D)), E, u1_struct_0(A)) => k11_card_3(u3_msualg_1(k2_circcomb(A, B), k3_circcomb(A, B, C, D)), k6_circuit2(k2_circcomb(A, B), k3_circcomb(A, B, C, D), E), u1_struct_0(A))=k6_circuit2(A, C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_facirc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_circcomb(A) &  (v2_circcomb(A) &  (v3_circcomb(A) & l1_msualg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_circcomb(B) &  (v2_circcomb(B) &  (v3_circcomb(B) & l1_msualg_1(B)) ) ) ) )  =>  (r1_xboole_0(k3_msafree2(A), k2_msafree2(B)) =>  (! [C] :  ( (v4_msafree2(C, A) &  (v4_circcomb(C, A) &  (v6_circcomb(C, A) & l3_msualg_1(C, A)) ) )  =>  (! [D] :  ( (v4_msafree2(D, B) &  (v4_circcomb(D, B) &  (v6_circcomb(D, B) & l3_msualg_1(D, B)) ) )  =>  (! [E] :  (m1_subset_1(E, k4_card_3(u3_msualg_1(k2_circcomb(A, B), k3_circcomb(A, B, C, D)))) =>  (! [F] :  (m1_subset_1(F, k4_card_3(u3_msualg_1(B, D))) =>  (F=k11_card_3(u3_msualg_1(k2_circcomb(A, B), k3_circcomb(A, B, C, D)), E, u1_struct_0(B)) => k11_card_3(u3_msualg_1(k2_circcomb(A, B), k3_circcomb(A, B, C, D)), k6_circuit2(k2_circcomb(A, B), k3_circcomb(A, B, C, D), E), u1_struct_0(B))=k6_circuit2(B, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_facirc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_circcomb(A) &  (v2_circcomb(A) &  (v3_circcomb(A) & l1_msualg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_circcomb(B) &  (v2_circcomb(B) &  (v3_circcomb(B) & l1_msualg_1(B)) ) ) ) )  =>  (r1_xboole_0(k3_msafree2(B), k2_msafree2(A)) =>  (! [C] :  ( (v4_msafree2(C, A) &  (v4_circcomb(C, A) &  (v6_circcomb(C, A) & l3_msualg_1(C, A)) ) )  =>  (! [D] :  ( (v4_msafree2(D, B) &  (v4_circcomb(D, B) &  (v6_circcomb(D, B) & l3_msualg_1(D, B)) ) )  =>  (! [E] :  (m1_subset_1(E, k4_card_3(u3_msualg_1(k2_circcomb(A, B), k3_circcomb(A, B, C, D)))) =>  (! [F] :  (m1_subset_1(F, k4_card_3(u3_msualg_1(A, C))) =>  (F=k11_card_3(u3_msualg_1(k2_circcomb(A, B), k3_circcomb(A, B, C, D)), E, u1_struct_0(A)) =>  (! [G] :  (v7_ordinal1(G) => k11_card_3(u3_msualg_1(k2_circcomb(A, B), k3_circcomb(A, B, C, D)), k5_facirc_1(k2_circcomb(A, B), k3_circcomb(A, B, C, D), E, G), u1_struct_0(A))=k5_facirc_1(A, C, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_facirc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_circcomb(A) &  (v2_circcomb(A) &  (v3_circcomb(A) & l1_msualg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_circcomb(B) &  (v2_circcomb(B) &  (v3_circcomb(B) & l1_msualg_1(B)) ) ) ) )  =>  (r1_xboole_0(k3_msafree2(A), k2_msafree2(B)) =>  (! [C] :  ( (v4_msafree2(C, A) &  (v4_circcomb(C, A) &  (v6_circcomb(C, A) & l3_msualg_1(C, A)) ) )  =>  (! [D] :  ( (v4_msafree2(D, B) &  (v4_circcomb(D, B) &  (v6_circcomb(D, B) & l3_msualg_1(D, B)) ) )  =>  (! [E] :  (m1_subset_1(E, k4_card_3(u3_msualg_1(k2_circcomb(A, B), k3_circcomb(A, B, C, D)))) =>  (! [F] :  (m1_subset_1(F, k4_card_3(u3_msualg_1(B, D))) =>  (F=k11_card_3(u3_msualg_1(k2_circcomb(A, B), k3_circcomb(A, B, C, D)), E, u1_struct_0(B)) =>  (! [G] :  (v7_ordinal1(G) => k11_card_3(u3_msualg_1(k2_circcomb(A, B), k3_circcomb(A, B, C, D)), k5_facirc_1(k2_circcomb(A, B), k3_circcomb(A, B, C, D), E, G), u1_struct_0(B))=k5_facirc_1(B, D, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_facirc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_circcomb(A) &  (v2_circcomb(A) &  (v3_circcomb(A) & l1_msualg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_circcomb(B) &  (v2_circcomb(B) &  (v3_circcomb(B) & l1_msualg_1(B)) ) ) ) )  =>  (r1_xboole_0(k3_msafree2(B), k2_msafree2(A)) =>  (! [C] :  ( (v4_msafree2(C, A) &  (v4_circcomb(C, A) &  (v6_circcomb(C, A) & l3_msualg_1(C, A)) ) )  =>  (! [D] :  ( (v4_msafree2(D, B) &  (v4_circcomb(D, B) &  (v6_circcomb(D, B) & l3_msualg_1(D, B)) ) )  =>  (! [E] :  (m1_subset_1(E, k4_card_3(u3_msualg_1(k2_circcomb(A, B), k3_circcomb(A, B, C, D)))) =>  (! [F] :  (m1_subset_1(F, k4_card_3(u3_msualg_1(A, C))) =>  (F=k11_card_3(u3_msualg_1(k2_circcomb(A, B), k3_circcomb(A, B, C, D)), E, u1_struct_0(A)) =>  (! [G] :  (r2_tarski(G, u1_struct_0(A)) =>  (! [H] :  (v7_ordinal1(H) => k1_funct_1(k5_facirc_1(k2_circcomb(A, B), k3_circcomb(A, B, C, D), E, H), G)=k1_funct_1(k5_facirc_1(A, C, F, H), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_facirc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_circcomb(A) &  (v2_circcomb(A) &  (v3_circcomb(A) & l1_msualg_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_circcomb(B) &  (v2_circcomb(B) &  (v3_circcomb(B) & l1_msualg_1(B)) ) ) ) )  =>  (r1_xboole_0(k3_msafree2(A), k2_msafree2(B)) =>  (! [C] :  ( (v4_msafree2(C, A) &  (v4_circcomb(C, A) &  (v6_circcomb(C, A) & l3_msualg_1(C, A)) ) )  =>  (! [D] :  ( (v4_msafree2(D, B) &  (v4_circcomb(D, B) &  (v6_circcomb(D, B) & l3_msualg_1(D, B)) ) )  =>  (! [E] :  (m1_subset_1(E, k4_card_3(u3_msualg_1(k2_circcomb(A, B), k3_circcomb(A, B, C, D)))) =>  (! [F] :  (m1_subset_1(F, k4_card_3(u3_msualg_1(B, D))) =>  (F=k11_card_3(u3_msualg_1(k2_circcomb(A, B), k3_circcomb(A, B, C, D)), E, u1_struct_0(B)) =>  (! [G] :  (r2_tarski(G, u1_struct_0(B)) =>  (! [H] :  (v7_ordinal1(H) => k1_funct_1(k5_facirc_1(k2_circcomb(A, B), k3_circcomb(A, B, C, D), E, H), G)=k1_funct_1(k5_facirc_1(B, D, F, H), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_facirc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) &  (v5_circcomb(A) & l1_msualg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  =>  (v4_circcomb(B, A) =>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) => k1_funct_1(k6_circuit2(A, B, C), k2_msualg_1(A, D))=k1_funct_1(k2_xfamily(D), k3_relat_1(k1_msualg_1(A, D), C))) ) ) ) ) ) ) ) ) ).
fof(t35_facirc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_circcomb(A) &  (v2_circcomb(A) &  (v3_circcomb(A) & l1_msualg_1(A)) ) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) &  (v4_circcomb(B, A) &  (v6_circcomb(B, A) & l3_msualg_1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (r2_hidden(k4_tarski(D, E), u4_struct_0(A)) => k1_funct_1(k6_circuit2(A, B, C), k4_tarski(D, E))=k1_funct_1(E, k3_relat_1(D, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_facirc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_circcomb(A) &  (v2_circcomb(A) &  (v3_circcomb(A) & l1_msualg_1(A)) ) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) &  (v4_circcomb(B, A) &  (v6_circcomb(B, A) & l3_msualg_1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  ( (r2_hidden(k4_tarski(D, E), u4_struct_0(A)) &  (! [F] :  (r2_tarski(F, k10_xtuple_0(D)) => r1_facirc_1(A, B, C, F)) ) )  => r1_facirc_1(A, B, k6_circuit2(A, B, C), k4_tarski(D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_facirc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_circcomb(A) & l1_msualg_1(A)) )  => k3_msafree2(A)=u4_struct_0(A)) ) ).
fof(t38_facirc_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => v1_relat_1(k3_msafree2(k5_circcomb(A, B)))) ) ) ).
fof(t39_facirc_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v2_facirc_1(B)) ) )  =>  ~ (v1_facirc_1(k2_msafree2(k5_circcomb(A, B)))) ) ) ) ).
fof(t40_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] : k2_msafree2(k5_circcomb(A, k10_finseq_1(B, C)))=k2_tarski(B, C)) ) ) ).
fof(t41_facirc_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  ~ (v1_facirc_1(k2_msafree2(k5_circcomb(A, k10_finseq_1(B, C))))) ) ) ) ) ) ).
fof(t42_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k2_msafree2(k5_circcomb(A, k11_finseq_1(B, C, D)))=k1_enumset1(B, C, D)) ) ) ) ).
fof(t43_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_hidden(A, u1_struct_0(k5_circcomb(C, k10_finseq_1(A, B)))) &  (r2_hidden(B, u1_struct_0(k5_circcomb(C, k10_finseq_1(A, B)))) & r2_hidden(k4_tarski(k10_finseq_1(A, B), C), u1_struct_0(k5_circcomb(C, k10_finseq_1(A, B))))) ) ) ) ) ).
fof(t44_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (r2_hidden(A, u1_struct_0(k5_circcomb(D, k11_finseq_1(A, B, C)))) &  (r2_hidden(B, u1_struct_0(k5_circcomb(D, k11_finseq_1(A, B, C)))) & r2_hidden(C, u1_struct_0(k5_circcomb(D, k11_finseq_1(A, B, C))))) ) ) ) ) ) ).
fof(t45_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r2_tarski(B, u1_struct_0(k4_circcomb(A, C, B))) &  (! [D] :  (r2_tarski(D, k10_xtuple_0(C)) => r2_tarski(D, u1_struct_0(k4_circcomb(A, C, B)))) ) ) ) ) ) ) ).
fof(t46_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (v2_circcomb(k4_circcomb(A, C, B)) & v2_msafree2(k4_circcomb(A, C, B))) ) ) ) ) ).
fof(t47_facirc_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] : r2_hidden(k4_tarski(A, B), k3_msafree2(k5_circcomb(B, A)))) ) ) ).
fof(d10_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_2(2, k5_margrel1), k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, k5_margrel1), k5_margrel1)))) )  => k6_facirc_1(A, B, C)=k7_circcomb(2, k5_margrel1, C, k10_finseq_1(A, B))) ) ) ) ).
fof(t48_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v1_finset_1(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(2, C), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, C), C)))) )  =>  (! [E] :  (m1_subset_1(E, k4_card_3(u3_msualg_1(k5_circcomb(D, k10_finseq_1(A, B)), k7_circcomb(2, C, D, k10_finseq_1(A, B))))) =>  (k1_funct_1(k6_circuit2(k5_circcomb(D, k10_finseq_1(A, B)), k7_circcomb(2, C, D, k10_finseq_1(A, B)), E), k4_tarski(k10_finseq_1(A, B), D))=k1_funct_1(D, k10_finseq_1(k1_funct_1(E, A), k1_funct_1(E, B))) &  (k1_funct_1(k6_circuit2(k5_circcomb(D, k10_finseq_1(A, B)), k7_circcomb(2, C, D, k10_finseq_1(A, B)), E), A)=k1_funct_1(E, A) & k1_funct_1(k6_circuit2(k5_circcomb(D, k10_finseq_1(A, B)), k7_circcomb(2, C, D, k10_finseq_1(A, B)), E), B)=k1_funct_1(E, B)) ) ) ) ) ) ) ) ) ) ).
fof(t49_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v1_finset_1(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(2, C), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, C), C)))) )  =>  (! [E] :  (m1_subset_1(E, k4_card_3(u3_msualg_1(k5_circcomb(D, k10_finseq_1(A, B)), k7_circcomb(2, C, D, k10_finseq_1(A, B))))) => v1_circuit2(k6_circuit2(k5_circcomb(D, k10_finseq_1(A, B)), k7_circcomb(2, C, D, k10_finseq_1(A, B)), E), k5_circcomb(D, k10_finseq_1(A, B)), k7_circcomb(2, C, D, k10_finseq_1(A, B)))) ) ) ) ) ) ) ) ).
fof(t50_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_2(2, k5_margrel1), k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, k5_margrel1), k5_margrel1)))) )  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k5_circcomb(C, k10_finseq_1(A, B)), k6_facirc_1(A, B, C)))) =>  (k1_funct_1(k6_circuit2(k5_circcomb(C, k10_finseq_1(A, B)), k6_facirc_1(A, B, C), D), k4_tarski(k10_finseq_1(A, B), C))=k1_funct_1(C, k10_finseq_1(k1_funct_1(D, A), k1_funct_1(D, B))) &  (k1_funct_1(k6_circuit2(k5_circcomb(C, k10_finseq_1(A, B)), k6_facirc_1(A, B, C), D), A)=k1_funct_1(D, A) & k1_funct_1(k6_circuit2(k5_circcomb(C, k10_finseq_1(A, B)), k6_facirc_1(A, B, C), D), B)=k1_funct_1(D, B)) ) ) ) ) ) ) ) ).
fof(t51_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_2(2, k5_margrel1), k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, k5_margrel1), k5_margrel1)))) )  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k5_circcomb(C, k10_finseq_1(A, B)), k6_facirc_1(A, B, C)))) => v1_circuit2(k6_circuit2(k5_circcomb(C, k10_finseq_1(A, B)), k6_facirc_1(A, B, C), D), k5_circcomb(C, k10_finseq_1(A, B)), k6_facirc_1(A, B, C))) ) ) ) ) ) ).
fof(d11_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(3, k5_margrel1), k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3, k5_margrel1), k5_margrel1)))) )  => k7_facirc_1(A, B, C, D)=k7_circcomb(3, k5_margrel1, D, k11_finseq_1(A, B, C))) ) ) ) ) ).
fof(t52_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ( ~ (v1_xboole_0(D))  & v1_finset_1(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_finseq_2(3, D), D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3, D), D)))) )  =>  (! [F] :  (m1_subset_1(F, k4_card_3(u3_msualg_1(k5_circcomb(E, k11_finseq_1(A, B, C)), k7_circcomb(3, D, E, k11_finseq_1(A, B, C))))) =>  (k1_funct_1(k6_circuit2(k5_circcomb(E, k11_finseq_1(A, B, C)), k7_circcomb(3, D, E, k11_finseq_1(A, B, C)), F), k4_tarski(k11_finseq_1(A, B, C), E))=k1_funct_1(E, k11_finseq_1(k1_funct_1(F, A), k1_funct_1(F, B), k1_funct_1(F, C))) &  (k1_funct_1(k6_circuit2(k5_circcomb(E, k11_finseq_1(A, B, C)), k7_circcomb(3, D, E, k11_finseq_1(A, B, C)), F), A)=k1_funct_1(F, A) &  (k1_funct_1(k6_circuit2(k5_circcomb(E, k11_finseq_1(A, B, C)), k7_circcomb(3, D, E, k11_finseq_1(A, B, C)), F), B)=k1_funct_1(F, B) & k1_funct_1(k6_circuit2(k5_circcomb(E, k11_finseq_1(A, B, C)), k7_circcomb(3, D, E, k11_finseq_1(A, B, C)), F), C)=k1_funct_1(F, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ( ~ (v1_xboole_0(D))  & v1_finset_1(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_finseq_2(3, D), D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3, D), D)))) )  =>  (! [F] :  (m1_subset_1(F, k4_card_3(u3_msualg_1(k5_circcomb(E, k11_finseq_1(A, B, C)), k7_circcomb(3, D, E, k11_finseq_1(A, B, C))))) => v1_circuit2(k6_circuit2(k5_circcomb(E, k11_finseq_1(A, B, C)), k7_circcomb(3, D, E, k11_finseq_1(A, B, C)), F), k5_circcomb(E, k11_finseq_1(A, B, C)), k7_circcomb(3, D, E, k11_finseq_1(A, B, C)))) ) ) ) ) ) ) ) ) ).
fof(t54_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(3, k5_margrel1), k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3, k5_margrel1), k5_margrel1)))) )  =>  (! [E] :  (m1_subset_1(E, k4_card_3(u3_msualg_1(k5_circcomb(D, k11_finseq_1(A, B, C)), k7_facirc_1(A, B, C, D)))) =>  (k1_funct_1(k6_circuit2(k5_circcomb(D, k11_finseq_1(A, B, C)), k7_facirc_1(A, B, C, D), E), k4_tarski(k11_finseq_1(A, B, C), D))=k1_funct_1(D, k11_finseq_1(k1_funct_1(E, A), k1_funct_1(E, B), k1_funct_1(E, C))) &  (k1_funct_1(k6_circuit2(k5_circcomb(D, k11_finseq_1(A, B, C)), k7_facirc_1(A, B, C, D), E), A)=k1_funct_1(E, A) &  (k1_funct_1(k6_circuit2(k5_circcomb(D, k11_finseq_1(A, B, C)), k7_facirc_1(A, B, C, D), E), B)=k1_funct_1(E, B) & k1_funct_1(k6_circuit2(k5_circcomb(D, k11_finseq_1(A, B, C)), k7_facirc_1(A, B, C, D), E), C)=k1_funct_1(E, C)) ) ) ) ) ) ) ) ) ) ).
fof(t55_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(3, k5_margrel1), k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3, k5_margrel1), k5_margrel1)))) )  =>  (! [E] :  (m1_subset_1(E, k4_card_3(u3_msualg_1(k5_circcomb(D, k11_finseq_1(A, B, C)), k7_facirc_1(A, B, C, D)))) => v1_circuit2(k6_circuit2(k5_circcomb(D, k11_finseq_1(A, B, C)), k7_facirc_1(A, B, C, D), E), k5_circcomb(D, k11_finseq_1(A, B, C)), k7_facirc_1(A, B, C, D))) ) ) ) ) ) ) ).
fof(d12_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(2, k5_margrel1), k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, k5_margrel1), k5_margrel1)))) )  => k8_facirc_1(A, B, C, D)=k2_circcomb(k5_circcomb(D, k10_finseq_1(A, B)), k5_circcomb(D, k10_finseq_1(k4_tarski(k10_finseq_1(A, B), D), C)))) ) ) ) ) ).
fof(d13_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(2, k5_margrel1), k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, k5_margrel1), k5_margrel1)))) )  => k9_facirc_1(A, B, C, D)=k4_tarski(k10_finseq_1(k4_tarski(k10_finseq_1(A, B), D), C), D)) ) ) ) ) ).
fof(t56_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(2, k5_margrel1), k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, k5_margrel1), k5_margrel1)))) )  => k3_msafree2(k8_facirc_1(A, B, C, D))=k2_tarski(k4_tarski(k10_finseq_1(A, B), D), k9_facirc_1(A, B, C, D))) ) ) ) ) ).
fof(t57_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(2, k5_margrel1), k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, k5_margrel1), k5_margrel1)))) )  =>  ( ~ (C=k4_tarski(k10_finseq_1(A, B), D))  => k2_msafree2(k8_facirc_1(A, B, C, D))=k1_enumset1(A, B, C)) ) ) ) ) ) ).
fof(d14_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(2, k5_margrel1), k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, k5_margrel1), k5_margrel1)))) )  => k10_facirc_1(A, B, C, D)=k3_circcomb(k5_circcomb(D, k10_finseq_1(A, B)), k5_circcomb(D, k10_finseq_1(k4_tarski(k10_finseq_1(A, B), D), C)), k6_facirc_1(A, B, D), k6_facirc_1(k4_tarski(k10_finseq_1(A, B), D), C, D))) ) ) ) ) ).
fof(t58_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(2, k5_margrel1), k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, k5_margrel1), k5_margrel1)))) )  => v1_relat_1(k3_msafree2(k8_facirc_1(A, B, C, D)))) ) ) ) ) ).
fof(t59_facirc_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(2, k5_margrel1), k5_margrel1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, k5_margrel1), k5_margrel1)))) )  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  ( ~ (v1_xtuple_0(D))  =>  ~ (v1_facirc_1(k2_msafree2(k8_facirc_1(B, C, D, A)))) ) ) ) ) ) ) ) ) ).
fof(t60_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(2, k5_margrel1), k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, k5_margrel1), k5_margrel1)))) )  =>  (r2_hidden(A, u1_struct_0(k8_facirc_1(A, B, C, D))) &  (r2_hidden(B, u1_struct_0(k8_facirc_1(A, B, C, D))) & r2_hidden(C, u1_struct_0(k8_facirc_1(A, B, C, D)))) ) ) ) ) ) ) ).
fof(t61_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(2, k5_margrel1), k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, k5_margrel1), k5_margrel1)))) )  =>  (r2_hidden(k4_tarski(k10_finseq_1(A, B), D), u1_struct_0(k8_facirc_1(A, B, C, D))) & r2_hidden(k4_tarski(k10_finseq_1(k4_tarski(k10_finseq_1(A, B), D), C), D), u1_struct_0(k8_facirc_1(A, B, C, D)))) ) ) ) ) ) ).
fof(t62_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(2, k5_margrel1), k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, k5_margrel1), k5_margrel1)))) )  =>  (! [E] :  (m1_subset_1(E, k4_card_3(u3_msualg_1(k8_facirc_1(A, B, C, D), k10_facirc_1(A, B, C, D)))) =>  ( ~ (C=k4_tarski(k10_finseq_1(A, B), D))  =>  (k11_facirc_1(k8_facirc_1(A, B, C, D), k10_facirc_1(A, B, C, D), k5_facirc_1(k8_facirc_1(A, B, C, D), k10_facirc_1(A, B, C, D), E, 2), k9_facirc_1(A, B, C, D))=k1_funct_1(D, k10_finseq_1(k1_funct_1(D, k10_finseq_1(k1_funct_1(E, A), k1_funct_1(E, B))), k1_funct_1(E, C))) &  (k1_funct_1(k5_facirc_1(k8_facirc_1(A, B, C, D), k10_facirc_1(A, B, C, D), E, 2), k4_tarski(k10_finseq_1(A, B), D))=k1_funct_1(D, k10_finseq_1(k1_funct_1(E, A), k1_funct_1(E, B))) &  (k1_funct_1(k5_facirc_1(k8_facirc_1(A, B, C, D), k10_facirc_1(A, B, C, D), E, 2), A)=k1_funct_1(E, A) &  (k1_funct_1(k5_facirc_1(k8_facirc_1(A, B, C, D), k10_facirc_1(A, B, C, D), E, 2), B)=k1_funct_1(E, B) & k1_funct_1(k5_facirc_1(k8_facirc_1(A, B, C, D), k10_facirc_1(A, B, C, D), E, 2), C)=k1_funct_1(E, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(2, k5_margrel1), k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, k5_margrel1), k5_margrel1)))) )  =>  (! [E] :  (m1_subset_1(E, k4_card_3(u3_msualg_1(k8_facirc_1(A, B, C, D), k10_facirc_1(A, B, C, D)))) =>  ( ~ (C=k4_tarski(k10_finseq_1(A, B), D))  => v1_circuit2(k5_facirc_1(k8_facirc_1(A, B, C, D), k10_facirc_1(A, B, C, D), E, 2), k8_facirc_1(A, B, C, D), k10_facirc_1(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t64_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k1_facirc_1))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k8_facirc_1(A, B, C, k1_facirc_1), k10_facirc_1(A, B, C, k1_facirc_1)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  (! [G] :  (m1_subset_1(G, k5_margrel1) =>  ( (E=k1_funct_1(D, A) &  (F=k1_funct_1(D, B) & G=k1_funct_1(D, C)) )  => k11_facirc_1(k8_facirc_1(A, B, C, k1_facirc_1), k10_facirc_1(A, B, C, k1_facirc_1), k5_facirc_1(k8_facirc_1(A, B, C, k1_facirc_1), k10_facirc_1(A, B, C, k1_facirc_1), D, 2), k9_facirc_1(A, B, C, k1_facirc_1))=k2_binarith(k2_binarith(E, F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k2_facirc_1))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k8_facirc_1(A, B, C, k2_facirc_1), k10_facirc_1(A, B, C, k2_facirc_1)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  (! [G] :  (m1_subset_1(G, k5_margrel1) =>  ( (E=k1_funct_1(D, A) &  (F=k1_funct_1(D, B) & G=k1_funct_1(D, C)) )  => k11_facirc_1(k8_facirc_1(A, B, C, k2_facirc_1), k10_facirc_1(A, B, C, k2_facirc_1), k5_facirc_1(k8_facirc_1(A, B, C, k2_facirc_1), k10_facirc_1(A, B, C, k2_facirc_1), D, 2), k9_facirc_1(A, B, C, k2_facirc_1))=k1_binarith(k1_binarith(E, F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k3_facirc_1))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k8_facirc_1(A, B, C, k3_facirc_1), k10_facirc_1(A, B, C, k3_facirc_1)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  (! [G] :  (m1_subset_1(G, k5_margrel1) =>  ( (E=k1_funct_1(D, A) &  (F=k1_funct_1(D, B) & G=k1_funct_1(D, C)) )  => k11_facirc_1(k8_facirc_1(A, B, C, k3_facirc_1), k10_facirc_1(A, B, C, k3_facirc_1), k5_facirc_1(k8_facirc_1(A, B, C, k3_facirc_1), k10_facirc_1(A, B, C, k3_facirc_1), D, 2), k9_facirc_1(A, B, C, k3_facirc_1))=k9_margrel1(k9_margrel1(E, F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] : k12_facirc_1(A, B, C)=k9_facirc_1(A, B, C, k1_facirc_1)) ) ) ).
fof(d16_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] : k13_facirc_1(A, B, C)=k10_facirc_1(A, B, C, k1_facirc_1)) ) ) ).
fof(d17_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] : k14_facirc_1(A, B, C)=k2_circcomb(k2_circcomb(k5_circcomb(k3_facirc_1, k10_finseq_1(A, B)), k5_circcomb(k3_facirc_1, k10_finseq_1(B, C))), k5_circcomb(k3_facirc_1, k10_finseq_1(C, A)))) ) ) ).
fof(d18_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] : k15_facirc_1(A, B, C)=k2_circcomb(k14_facirc_1(A, B, C), k5_circcomb(k4_facirc_1, k11_finseq_1(k4_tarski(k10_finseq_1(A, B), k3_facirc_1), k4_tarski(k10_finseq_1(B, C), k3_facirc_1), k4_tarski(k10_finseq_1(C, A), k3_facirc_1))))) ) ) ).
fof(d19_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] : k16_facirc_1(A, B, C)=k3_circcomb(k2_circcomb(k5_circcomb(k3_facirc_1, k10_finseq_1(A, B)), k5_circcomb(k3_facirc_1, k10_finseq_1(B, C))), k5_circcomb(k3_facirc_1, k10_finseq_1(C, A)), k3_circcomb(k5_circcomb(k3_facirc_1, k10_finseq_1(A, B)), k5_circcomb(k3_facirc_1, k10_finseq_1(B, C)), k6_facirc_1(A, B, k3_facirc_1), k6_facirc_1(B, C, k3_facirc_1)), k6_facirc_1(C, A, k3_facirc_1))) ) ) ).
fof(t67_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] : v1_relat_1(k3_msafree2(k15_facirc_1(A, B, C)))) ) ) ).
fof(t68_facirc_1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  ~ (v1_facirc_1(k2_msafree2(k15_facirc_1(A, B, C)))) ) ) ) ) ) ) ).
fof(t69_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k14_facirc_1(A, B, C), k16_facirc_1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  ( (E=k1_funct_1(D, A) & F=k1_funct_1(D, B))  => k1_funct_1(k6_circuit2(k14_facirc_1(A, B, C), k16_facirc_1(A, B, C), D), k4_tarski(k10_finseq_1(A, B), k3_facirc_1))=k9_margrel1(E, F)) ) ) ) ) ) ) ) ) ) ).
fof(t70_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k14_facirc_1(A, B, C), k16_facirc_1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  ( (E=k1_funct_1(D, B) & F=k1_funct_1(D, C))  => k1_funct_1(k6_circuit2(k14_facirc_1(A, B, C), k16_facirc_1(A, B, C), D), k4_tarski(k10_finseq_1(B, C), k3_facirc_1))=k9_margrel1(E, F)) ) ) ) ) ) ) ) ) ) ).
fof(t71_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k14_facirc_1(A, B, C), k16_facirc_1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  ( (E=k1_funct_1(D, C) & F=k1_funct_1(D, A))  => k1_funct_1(k6_circuit2(k14_facirc_1(A, B, C), k16_facirc_1(A, B, C), D), k4_tarski(k10_finseq_1(C, A), k3_facirc_1))=k9_margrel1(E, F)) ) ) ) ) ) ) ) ) ) ).
fof(d20_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] : k17_facirc_1(A, B, C)=k4_tarski(k11_finseq_1(k4_tarski(k10_finseq_1(A, B), k3_facirc_1), k4_tarski(k10_finseq_1(B, C), k3_facirc_1), k4_tarski(k10_finseq_1(C, A), k3_facirc_1)), k4_facirc_1)) ) ) ).
fof(d21_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] : k18_facirc_1(A, B, C)=k3_circcomb(k14_facirc_1(A, B, C), k5_circcomb(k4_facirc_1, k11_finseq_1(k4_tarski(k10_finseq_1(A, B), k3_facirc_1), k4_tarski(k10_finseq_1(B, C), k3_facirc_1), k4_tarski(k10_finseq_1(C, A), k3_facirc_1))), k16_facirc_1(A, B, C), k7_facirc_1(k4_tarski(k10_finseq_1(A, B), k3_facirc_1), k4_tarski(k10_finseq_1(B, C), k3_facirc_1), k4_tarski(k10_finseq_1(C, A), k3_facirc_1), k4_facirc_1))) ) ) ).
fof(t72_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_hidden(A, u1_struct_0(k15_facirc_1(A, B, C))) &  (r2_hidden(B, u1_struct_0(k15_facirc_1(A, B, C))) & r2_hidden(C, u1_struct_0(k15_facirc_1(A, B, C)))) ) ) ) ) ).
fof(t73_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k3_facirc_1), k3_msafree2(k15_facirc_1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(B, C), k3_facirc_1), k3_msafree2(k15_facirc_1(A, B, C))) & r2_hidden(k4_tarski(k10_finseq_1(C, A), k3_facirc_1), k3_msafree2(k15_facirc_1(A, B, C)))) ) ) ) ) ).
fof(t74_facirc_1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (r2_hidden(A, k2_msafree2(k15_facirc_1(A, B, C))) &  (r2_hidden(B, k2_msafree2(k15_facirc_1(A, B, C))) & r2_hidden(C, k2_msafree2(k15_facirc_1(A, B, C)))) ) ) ) ) ) ) ) ).
fof(t75_facirc_1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (k2_msafree2(k15_facirc_1(A, B, C))=k1_enumset1(A, B, C) & k3_msafree2(k15_facirc_1(A, B, C))=k2_xboole_0(k1_enumset1(k4_tarski(k10_finseq_1(A, B), k3_facirc_1), k4_tarski(k10_finseq_1(B, C), k3_facirc_1), k4_tarski(k10_finseq_1(C, A), k3_facirc_1)), k1_tarski(k17_facirc_1(A, B, C)))) ) ) ) ) ) ) ).
fof(t76_facirc_1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k15_facirc_1(A, B, C), k18_facirc_1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  ( (E=k1_funct_1(D, A) & F=k1_funct_1(D, B))  => k1_funct_1(k6_circuit2(k15_facirc_1(A, B, C), k18_facirc_1(A, B, C), D), k4_tarski(k10_finseq_1(A, B), k3_facirc_1))=k9_margrel1(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t77_facirc_1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k15_facirc_1(A, B, C), k18_facirc_1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  ( (E=k1_funct_1(D, B) & F=k1_funct_1(D, C))  => k1_funct_1(k6_circuit2(k15_facirc_1(A, B, C), k18_facirc_1(A, B, C), D), k4_tarski(k10_finseq_1(B, C), k3_facirc_1))=k9_margrel1(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t78_facirc_1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k15_facirc_1(A, B, C), k18_facirc_1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  ( (E=k1_funct_1(D, A) & F=k1_funct_1(D, C))  => k1_funct_1(k6_circuit2(k15_facirc_1(A, B, C), k18_facirc_1(A, B, C), D), k4_tarski(k10_finseq_1(C, A), k3_facirc_1))=k9_margrel1(F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t79_facirc_1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k15_facirc_1(A, B, C), k18_facirc_1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  (! [G] :  (m1_subset_1(G, k5_margrel1) =>  ( (E=k1_funct_1(D, k4_tarski(k10_finseq_1(A, B), k3_facirc_1)) &  (F=k1_funct_1(D, k4_tarski(k10_finseq_1(B, C), k3_facirc_1)) & G=k1_funct_1(D, k4_tarski(k10_finseq_1(C, A), k3_facirc_1))) )  => k11_facirc_1(k15_facirc_1(A, B, C), k18_facirc_1(A, B, C), k6_circuit2(k15_facirc_1(A, B, C), k18_facirc_1(A, B, C), D), k17_facirc_1(A, B, C))=k1_binarith(k1_binarith(E, F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t80_facirc_1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k15_facirc_1(A, B, C), k18_facirc_1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  ( (E=k1_funct_1(D, A) & F=k1_funct_1(D, B))  => k1_funct_1(k5_facirc_1(k15_facirc_1(A, B, C), k18_facirc_1(A, B, C), D, 2), k4_tarski(k10_finseq_1(A, B), k3_facirc_1))=k9_margrel1(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t81_facirc_1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k15_facirc_1(A, B, C), k18_facirc_1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  ( (E=k1_funct_1(D, B) & F=k1_funct_1(D, C))  => k1_funct_1(k5_facirc_1(k15_facirc_1(A, B, C), k18_facirc_1(A, B, C), D, 2), k4_tarski(k10_finseq_1(B, C), k3_facirc_1))=k9_margrel1(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t82_facirc_1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k15_facirc_1(A, B, C), k18_facirc_1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  ( (E=k1_funct_1(D, A) & F=k1_funct_1(D, C))  => k1_funct_1(k5_facirc_1(k15_facirc_1(A, B, C), k18_facirc_1(A, B, C), D, 2), k4_tarski(k10_finseq_1(C, A), k3_facirc_1))=k9_margrel1(F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t83_facirc_1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k15_facirc_1(A, B, C), k18_facirc_1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  (! [G] :  (m1_subset_1(G, k5_margrel1) =>  ( (E=k1_funct_1(D, A) &  (F=k1_funct_1(D, B) & G=k1_funct_1(D, C)) )  => k11_facirc_1(k15_facirc_1(A, B, C), k18_facirc_1(A, B, C), k5_facirc_1(k15_facirc_1(A, B, C), k18_facirc_1(A, B, C), D, 2), k17_facirc_1(A, B, C))=k1_binarith(k1_binarith(k9_margrel1(E, F), k9_margrel1(F, G)), k9_margrel1(G, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t84_facirc_1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k15_facirc_1(A, B, C), k18_facirc_1(A, B, C)))) => v1_circuit2(k5_facirc_1(k15_facirc_1(A, B, C), k18_facirc_1(A, B, C), D, 2), k15_facirc_1(A, B, C), k18_facirc_1(A, B, C))) ) ) ) ) ) ) ) ).
fof(d22_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] : k19_facirc_1(A, B, C)=k2_circcomb(k8_facirc_1(A, B, C, k1_facirc_1), k15_facirc_1(A, B, C))) ) ) ).
fof(t85_facirc_1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  => k2_msafree2(k19_facirc_1(A, B, C))=k1_enumset1(A, B, C)) ) ) ) ) ) ).
fof(t86_facirc_1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  => k3_msafree2(k19_facirc_1(A, B, C))=k2_xboole_0(k2_xboole_0(k2_tarski(k4_tarski(k10_finseq_1(A, B), k1_facirc_1), k9_facirc_1(A, B, C, k1_facirc_1)), k1_enumset1(k4_tarski(k10_finseq_1(A, B), k3_facirc_1), k4_tarski(k10_finseq_1(B, C), k3_facirc_1), k4_tarski(k10_finseq_1(C, A), k3_facirc_1))), k1_tarski(k17_facirc_1(A, B, C)))) ) ) ) ) ) ).
fof(t87_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ( ~ (v2_struct_0(D))  & l1_msualg_1(D))  =>  (D=k19_facirc_1(A, B, C) =>  (r2_hidden(A, u1_struct_0(D)) &  (r2_hidden(B, u1_struct_0(D)) & r2_hidden(C, u1_struct_0(D))) ) ) ) ) ) ) ) ).
fof(d23_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] : k20_facirc_1(A, B, C)=k3_circcomb(k8_facirc_1(A, B, C, k1_facirc_1), k15_facirc_1(A, B, C), k13_facirc_1(A, B, C), k18_facirc_1(A, B, C))) ) ) ).
fof(t88_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] : v1_relat_1(k3_msafree2(k19_facirc_1(A, B, C)))) ) ) ).
fof(t89_facirc_1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  ~ (v1_facirc_1(k2_msafree2(k19_facirc_1(A, B, C)))) ) ) ) ) ) ) ).
fof(t90_facirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_tarski(k12_facirc_1(A, B, C), k3_msafree2(k19_facirc_1(A, B, C))) & r2_tarski(k17_facirc_1(A, B, C), k3_msafree2(k19_facirc_1(A, B, C)))) ) ) ) ).
fof(t91_facirc_1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k19_facirc_1(A, B, C), k20_facirc_1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  (! [G] :  (m1_subset_1(G, k5_margrel1) =>  ( (E=k1_funct_1(D, A) &  (F=k1_funct_1(D, B) & G=k1_funct_1(D, C)) )  =>  (k1_funct_1(k5_facirc_1(k19_facirc_1(A, B, C), k20_facirc_1(A, B, C), D, 2), k12_facirc_1(A, B, C))=k2_binarith(k2_binarith(E, F), G) & k1_funct_1(k5_facirc_1(k19_facirc_1(A, B, C), k20_facirc_1(A, B, C), D, 2), k17_facirc_1(A, B, C))=k1_binarith(k1_binarith(k9_margrel1(E, F), k9_margrel1(F, G)), k9_margrel1(G, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t92_facirc_1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k19_facirc_1(A, B, C), k20_facirc_1(A, B, C)))) => v1_circuit2(k5_facirc_1(k19_facirc_1(A, B, C), k20_facirc_1(A, B, C), D, 2), k19_facirc_1(A, B, C), k20_facirc_1(A, B, C))) ) ) ) ) ) ) ) ).
fof(s1_facirc_1, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(2, k5_margrel1), k5_margrel1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, k5_margrel1), k5_margrel1)))) )  &  (! [B] :  (m1_subset_1(B, k5_margrel1) =>  (! [C] :  (m1_subset_1(C, k5_margrel1) => k1_funct_1(A, k10_finseq_1(B, C))=f1_s1_facirc_1(B, C)) ) ) ) ) ) ).
fof(s2_facirc_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(2, k5_margrel1), k5_margrel1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, k5_margrel1), k5_margrel1)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_2(2, k5_margrel1), k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, k5_margrel1), k5_margrel1)))) )  =>  ( ( (! [C] :  (m1_subset_1(C, k5_margrel1) =>  (! [D] :  (m1_subset_1(D, k5_margrel1) => k1_funct_1(A, k10_finseq_1(C, D))=f1_s2_facirc_1(C, D)) ) ) )  &  (! [C] :  (m1_subset_1(C, k5_margrel1) =>  (! [D] :  (m1_subset_1(D, k5_margrel1) => k1_funct_1(B, k10_finseq_1(C, D))=f1_s2_facirc_1(C, D)) ) ) ) )  => r2_funct_2(k4_finseq_2(2, k5_margrel1), k5_margrel1, A, B)) ) ) ) ) ).
fof(s3_facirc_1, axiom,  ( (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(2, k5_margrel1), k5_margrel1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, k5_margrel1), k5_margrel1)))) )  &  (! [B] :  (m1_subset_1(B, k5_margrel1) =>  (! [C] :  (m1_subset_1(C, k5_margrel1) => k1_funct_1(A, k10_finseq_1(B, C))=f1_s3_facirc_1(B, C)) ) ) ) ) )  &  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(2, k5_margrel1), k5_margrel1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, k5_margrel1), k5_margrel1)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_2(2, k5_margrel1), k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, k5_margrel1), k5_margrel1)))) )  =>  ( ( (! [C] :  (m1_subset_1(C, k5_margrel1) =>  (! [D] :  (m1_subset_1(D, k5_margrel1) => k1_funct_1(A, k10_finseq_1(C, D))=f1_s3_facirc_1(C, D)) ) ) )  &  (! [C] :  (m1_subset_1(C, k5_margrel1) =>  (! [D] :  (m1_subset_1(D, k5_margrel1) => k1_funct_1(B, k10_finseq_1(C, D))=f1_s3_facirc_1(C, D)) ) ) ) )  => r2_funct_2(k4_finseq_2(2, k5_margrel1), k5_margrel1, A, B)) ) ) ) ) ) ).
fof(s4_facirc_1, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(3, k5_margrel1), k5_margrel1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3, k5_margrel1), k5_margrel1)))) )  &  (! [B] :  (m1_subset_1(B, k5_margrel1) =>  (! [C] :  (m1_subset_1(C, k5_margrel1) =>  (! [D] :  (m1_subset_1(D, k5_margrel1) => k1_funct_1(A, k11_finseq_1(B, C, D))=f1_s4_facirc_1(B, C, D)) ) ) ) ) ) ) ) ).
fof(s5_facirc_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(3, k5_margrel1), k5_margrel1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3, k5_margrel1), k5_margrel1)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_2(3, k5_margrel1), k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3, k5_margrel1), k5_margrel1)))) )  =>  ( ( (! [C] :  (m1_subset_1(C, k5_margrel1) =>  (! [D] :  (m1_subset_1(D, k5_margrel1) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) => k1_funct_1(A, k11_finseq_1(C, D, E))=f1_s5_facirc_1(C, D, E)) ) ) ) ) )  &  (! [C] :  (m1_subset_1(C, k5_margrel1) =>  (! [D] :  (m1_subset_1(D, k5_margrel1) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) => k1_funct_1(B, k11_finseq_1(C, D, E))=f1_s5_facirc_1(C, D, E)) ) ) ) ) ) )  => r2_funct_2(k4_finseq_2(3, k5_margrel1), k5_margrel1, A, B)) ) ) ) ) ).
fof(s6_facirc_1, axiom,  ( (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(3, k5_margrel1), k5_margrel1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3, k5_margrel1), k5_margrel1)))) )  &  (! [B] :  (m1_subset_1(B, k5_margrel1) =>  (! [C] :  (m1_subset_1(C, k5_margrel1) =>  (! [D] :  (m1_subset_1(D, k5_margrel1) => k1_funct_1(A, k11_finseq_1(B, C, D))=f1_s6_facirc_1(B, C, D)) ) ) ) ) ) ) )  &  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(3, k5_margrel1), k5_margrel1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3, k5_margrel1), k5_margrel1)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_2(3, k5_margrel1), k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3, k5_margrel1), k5_margrel1)))) )  =>  ( ( (! [C] :  (m1_subset_1(C, k5_margrel1) =>  (! [D] :  (m1_subset_1(D, k5_margrel1) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) => k1_funct_1(A, k11_finseq_1(C, D, E))=f1_s6_facirc_1(C, D, E)) ) ) ) ) )  &  (! [C] :  (m1_subset_1(C, k5_margrel1) =>  (! [D] :  (m1_subset_1(D, k5_margrel1) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) => k1_funct_1(B, k11_finseq_1(C, D, E))=f1_s6_facirc_1(C, D, E)) ) ) ) ) ) )  => r2_funct_2(k4_finseq_2(3, k5_margrel1), k5_margrel1, A, B)) ) ) ) ) ) ).
fof(dt_f1_s1_facirc_1, axiom,  (! [A, B] : m1_subset_1(f1_s1_facirc_1(A, B), k5_margrel1)) ).
fof(dt_f1_s2_facirc_1, axiom,  (! [A, B] : m1_subset_1(f1_s2_facirc_1(A, B), k5_margrel1)) ).
fof(dt_f1_s3_facirc_1, axiom,  (! [A, B] : m1_subset_1(f1_s3_facirc_1(A, B), k5_margrel1)) ).
fof(dt_f1_s4_facirc_1, axiom,  (! [A, B, C] : m1_subset_1(f1_s4_facirc_1(A, B, C), k5_margrel1)) ).
fof(dt_f1_s5_facirc_1, axiom,  (! [A, B, C] : m1_subset_1(f1_s5_facirc_1(A, B, C), k5_margrel1)) ).
fof(dt_f1_s6_facirc_1, axiom,  (! [A, B, C] : m1_subset_1(f1_s6_facirc_1(A, B, C), k5_margrel1)) ).
fof(dt_k1_facirc_1, axiom,  (v1_funct_1(k1_facirc_1) &  (v1_funct_2(k1_facirc_1, k4_finseq_2(2, k5_margrel1), k5_margrel1) & m1_subset_1(k1_facirc_1, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, k5_margrel1), k5_margrel1)))) ) ).
fof(dt_k2_facirc_1, axiom,  (v1_funct_1(k2_facirc_1) &  (v1_funct_2(k2_facirc_1, k4_finseq_2(2, k5_margrel1), k5_margrel1) & m1_subset_1(k2_facirc_1, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, k5_margrel1), k5_margrel1)))) ) ).
fof(dt_k3_facirc_1, axiom,  (v1_funct_1(k3_facirc_1) &  (v1_funct_2(k3_facirc_1, k4_finseq_2(2, k5_margrel1), k5_margrel1) & m1_subset_1(k3_facirc_1, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, k5_margrel1), k5_margrel1)))) ) ).
fof(dt_k4_facirc_1, axiom,  (v1_funct_1(k4_facirc_1) &  (v1_funct_2(k4_facirc_1, k4_finseq_2(3, k5_margrel1), k5_margrel1) & m1_subset_1(k4_facirc_1, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3, k5_margrel1), k5_margrel1)))) ) ).
fof(dt_k5_facirc_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  &  ( (v4_msualg_1(B, A) &  (v4_msafree2(B, A) & l3_msualg_1(B, A)) )  &  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) & v7_ordinal1(D)) ) )  => m1_subset_1(k5_facirc_1(A, B, C, D), k4_card_3(u3_msualg_1(A, B)))) ) ).
fof(dt_k6_facirc_1, axiom,  (! [A, B, C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_2(2, k5_margrel1), k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, k5_margrel1), k5_margrel1)))) )  =>  (v3_msualg_1(k6_facirc_1(A, B, C), k5_circcomb(C, k10_finseq_1(A, B))) &  (v4_msafree2(k6_facirc_1(A, B, C), k5_circcomb(C, k10_finseq_1(A, B))) &  (v4_circcomb(k6_facirc_1(A, B, C), k5_circcomb(C, k10_finseq_1(A, B))) &  (v6_circcomb(k6_facirc_1(A, B, C), k5_circcomb(C, k10_finseq_1(A, B))) & l3_msualg_1(k6_facirc_1(A, B, C), k5_circcomb(C, k10_finseq_1(A, B)))) ) ) ) ) ) ).
fof(dt_k7_facirc_1, axiom,  (! [A, B, C, D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(3, k5_margrel1), k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3, k5_margrel1), k5_margrel1)))) )  =>  (v3_msualg_1(k7_facirc_1(A, B, C, D), k5_circcomb(D, k11_finseq_1(A, B, C))) &  (v4_msafree2(k7_facirc_1(A, B, C, D), k5_circcomb(D, k11_finseq_1(A, B, C))) &  (v4_circcomb(k7_facirc_1(A, B, C, D), k5_circcomb(D, k11_finseq_1(A, B, C))) &  (v6_circcomb(k7_facirc_1(A, B, C, D), k5_circcomb(D, k11_finseq_1(A, B, C))) & l3_msualg_1(k7_facirc_1(A, B, C, D), k5_circcomb(D, k11_finseq_1(A, B, C)))) ) ) ) ) ) ).
fof(dt_k8_facirc_1, axiom,  (! [A, B, C, D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(2, k5_margrel1), k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, k5_margrel1), k5_margrel1)))) )  =>  ( ~ (v2_struct_0(k8_facirc_1(A, B, C, D)))  &  ( ~ (v11_struct_0(k8_facirc_1(A, B, C, D)))  &  (v1_msualg_1(k8_facirc_1(A, B, C, D)) &  (v1_circcomb(k8_facirc_1(A, B, C, D)) &  (v2_circcomb(k8_facirc_1(A, B, C, D)) &  (v3_circcomb(k8_facirc_1(A, B, C, D)) & l1_msualg_1(k8_facirc_1(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(dt_k9_facirc_1, axiom,  (! [A, B, C, D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(2, k5_margrel1), k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, k5_margrel1), k5_margrel1)))) )  => m2_subset_1(k9_facirc_1(A, B, C, D), u1_struct_0(k8_facirc_1(A, B, C, D)), k3_msafree2(k8_facirc_1(A, B, C, D)))) ) ).
fof(dt_k10_facirc_1, axiom,  (! [A, B, C, D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(2, k5_margrel1), k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, k5_margrel1), k5_margrel1)))) )  =>  (v3_msualg_1(k10_facirc_1(A, B, C, D), k8_facirc_1(A, B, C, D)) &  (v4_msafree2(k10_facirc_1(A, B, C, D), k8_facirc_1(A, B, C, D)) &  (v4_circcomb(k10_facirc_1(A, B, C, D), k8_facirc_1(A, B, C, D)) &  (v6_circcomb(k10_facirc_1(A, B, C, D), k8_facirc_1(A, B, C, D)) & l3_msualg_1(k10_facirc_1(A, B, C, D), k8_facirc_1(A, B, C, D))) ) ) ) ) ) ).
fof(dt_k11_facirc_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_circcomb(A) & l1_msualg_1(A)) ) )  &  ( (v4_msafree2(B, A) &  (v6_circcomb(B, A) & l3_msualg_1(B, A)) )  &  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) & m1_subset_1(D, u1_struct_0(A))) ) )  => m1_subset_1(k11_facirc_1(A, B, C, D), k5_margrel1)) ) ).
fof(redefinition_k11_facirc_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_circcomb(A) & l1_msualg_1(A)) ) )  &  ( (v4_msafree2(B, A) &  (v6_circcomb(B, A) & l3_msualg_1(B, A)) )  &  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) & m1_subset_1(D, u1_struct_0(A))) ) )  => k11_facirc_1(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(dt_k12_facirc_1, axiom,  (! [A, B, C] : m2_subset_1(k12_facirc_1(A, B, C), u1_struct_0(k8_facirc_1(A, B, C, k1_facirc_1)), k3_msafree2(k8_facirc_1(A, B, C, k1_facirc_1)))) ).
fof(dt_k13_facirc_1, axiom,  (! [A, B, C] :  (v3_msualg_1(k13_facirc_1(A, B, C), k8_facirc_1(A, B, C, k1_facirc_1)) &  (v4_msafree2(k13_facirc_1(A, B, C), k8_facirc_1(A, B, C, k1_facirc_1)) &  (v4_circcomb(k13_facirc_1(A, B, C), k8_facirc_1(A, B, C, k1_facirc_1)) &  (v6_circcomb(k13_facirc_1(A, B, C), k8_facirc_1(A, B, C, k1_facirc_1)) & l3_msualg_1(k13_facirc_1(A, B, C), k8_facirc_1(A, B, C, k1_facirc_1))) ) ) ) ) ).
fof(dt_k14_facirc_1, axiom,  (! [A, B, C] :  ( ~ (v2_struct_0(k14_facirc_1(A, B, C)))  &  ( ~ (v11_struct_0(k14_facirc_1(A, B, C)))  &  (v1_msualg_1(k14_facirc_1(A, B, C)) &  (v1_circcomb(k14_facirc_1(A, B, C)) &  (v2_circcomb(k14_facirc_1(A, B, C)) &  (v3_circcomb(k14_facirc_1(A, B, C)) & l1_msualg_1(k14_facirc_1(A, B, C))) ) ) ) ) ) ) ).
fof(dt_k15_facirc_1, axiom,  (! [A, B, C] :  ( ~ (v2_struct_0(k15_facirc_1(A, B, C)))  &  ( ~ (v11_struct_0(k15_facirc_1(A, B, C)))  &  (v1_msualg_1(k15_facirc_1(A, B, C)) &  (v1_circcomb(k15_facirc_1(A, B, C)) &  (v2_circcomb(k15_facirc_1(A, B, C)) &  (v3_circcomb(k15_facirc_1(A, B, C)) & l1_msualg_1(k15_facirc_1(A, B, C))) ) ) ) ) ) ) ).
fof(dt_k16_facirc_1, axiom,  (! [A, B, C] :  (v3_msualg_1(k16_facirc_1(A, B, C), k14_facirc_1(A, B, C)) &  (v4_msafree2(k16_facirc_1(A, B, C), k14_facirc_1(A, B, C)) &  (v4_circcomb(k16_facirc_1(A, B, C), k14_facirc_1(A, B, C)) &  (v6_circcomb(k16_facirc_1(A, B, C), k14_facirc_1(A, B, C)) & l3_msualg_1(k16_facirc_1(A, B, C), k14_facirc_1(A, B, C))) ) ) ) ) ).
fof(dt_k17_facirc_1, axiom,  (! [A, B, C] : m2_subset_1(k17_facirc_1(A, B, C), u1_struct_0(k15_facirc_1(A, B, C)), k3_msafree2(k15_facirc_1(A, B, C)))) ).
fof(dt_k18_facirc_1, axiom,  (! [A, B, C] :  (v3_msualg_1(k18_facirc_1(A, B, C), k15_facirc_1(A, B, C)) &  (v4_msafree2(k18_facirc_1(A, B, C), k15_facirc_1(A, B, C)) &  (v4_circcomb(k18_facirc_1(A, B, C), k15_facirc_1(A, B, C)) &  (v6_circcomb(k18_facirc_1(A, B, C), k15_facirc_1(A, B, C)) & l3_msualg_1(k18_facirc_1(A, B, C), k15_facirc_1(A, B, C))) ) ) ) ) ).
fof(dt_k19_facirc_1, axiom,  (! [A, B, C] :  ( ~ (v2_struct_0(k19_facirc_1(A, B, C)))  &  ( ~ (v11_struct_0(k19_facirc_1(A, B, C)))  &  (v1_msualg_1(k19_facirc_1(A, B, C)) &  (v1_circcomb(k19_facirc_1(A, B, C)) &  (v2_circcomb(k19_facirc_1(A, B, C)) &  (v3_circcomb(k19_facirc_1(A, B, C)) & l1_msualg_1(k19_facirc_1(A, B, C))) ) ) ) ) ) ) ).
fof(dt_k20_facirc_1, axiom,  (! [A, B, C] :  (v3_msualg_1(k20_facirc_1(A, B, C), k19_facirc_1(A, B, C)) &  (v4_msafree2(k20_facirc_1(A, B, C), k19_facirc_1(A, B, C)) &  (v4_circcomb(k20_facirc_1(A, B, C), k19_facirc_1(A, B, C)) &  (v6_circcomb(k20_facirc_1(A, B, C), k19_facirc_1(A, B, C)) & l3_msualg_1(k20_facirc_1(A, B, C), k19_facirc_1(A, B, C))) ) ) ) ) ).
fof(cc1_facirc_2, axiom,  (! [A] :  (l1_msualg_1(A) =>  (v11_struct_0(A) =>  (v1_circcomb(A) &  (v2_circcomb(A) & v3_circcomb(A)) ) ) ) ) ).
fof(rc1_facirc_2, axiom,  (? [A] :  (l1_msualg_1(A) &  (v11_struct_0(A) & v1_msualg_1(A)) ) ) ).
fof(fc1_facirc_2, axiom,  (! [A] :  ( ~ (v2_struct_0(k1_facirc_2(A)))  &  (v11_struct_0(k1_facirc_2(A)) & v1_msualg_1(k1_facirc_2(A))) ) ) ).
fof(cc2_facirc_2, axiom,  (! [A] :  (v1_xboole_0(A) =>  ~ (v1_xtuple_0(A)) ) ) ).
fof(cc3_facirc_2, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_facirc_1(A)) ) ) ) ).
fof(fc2_facirc_2, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_facirc_1(A)) )  =>  ~ (v1_xtuple_0(k1_funct_1(A, B))) ) ) ).
fof(fc3_facirc_2, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) )  => v1_xtuple_0(k5_facirc_2(A, B, C))) ) ).
fof(t1_facirc_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (A=C)  &  ( ~ (B=C)  &  ~ (k6_subset_1(k2_tarski(A, B), k1_tarski(C))=k2_tarski(A, B)) ) ) ) ) ) ) ).
fof(t2_facirc_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (A=k4_tarski(k10_finseq_1(A, B), C))  &  ~ (B=k4_tarski(k10_finseq_1(A, B), C)) ) ) ) ) ).
fof(d1_facirc_2, axiom,  (! [A] :  (! [B] :  ( (v11_struct_0(B) &  (v1_msualg_1(B) & l1_msualg_1(B)) )  =>  (B=k1_facirc_2(A) <=> u1_struct_0(B)=k1_tarski(A)) ) ) ) ).
fof(d2_facirc_2, axiom,  (! [A] :  (! [B] :  ( (v3_msualg_1(B, k1_facirc_2(A)) &  (v6_circcomb(B, k1_facirc_2(A)) & l3_msualg_1(B, k1_facirc_2(A))) )  => B=k2_facirc_2(A)) ) ) ).
fof(t3_facirc_2, axiom,  (! [A] :  (! [B] :  (l1_msualg_1(B) => r1_circcomb(k1_facirc_2(A), B)) ) ) ).
fof(t4_facirc_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (r2_tarski(A, u1_struct_0(B)) => k2_circcomb(k1_facirc_2(A), B)=g1_msualg_1(u1_struct_0(B), u4_struct_0(B), u1_msualg_1(B), u2_msualg_1(B))) ) ) ) ).
fof(t5_facirc_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_msualg_1(B) & l1_msualg_1(B)) )  =>  (! [C] :  ( (v6_circcomb(C, B) & l3_msualg_1(C, B))  =>  (r2_tarski(A, u1_struct_0(B)) => k3_circcomb(k1_facirc_2(A), B, k2_facirc_2(A), C)=g3_msualg_1(B, u3_msualg_1(B, C), u4_msualg_1(B, C))) ) ) ) ) ) ).
fof(d3_facirc_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v1_msualg_1(D) &  (v1_circcomb(D) &  (v2_circcomb(D) &  (v3_circcomb(D) & l1_msualg_1(D)) ) ) ) ) )  =>  (D=k3_facirc_2(A, B, C) <=>  (? [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v1_funct_1(E) & v1_partfun1(E, k4_ordinal1)) ) )  &  (? [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, k4_ordinal1) &  (v1_funct_1(F) & v1_partfun1(F, k4_ordinal1)) ) )  &  (D=k1_funct_1(E, A) &  (k1_funct_1(E, k5_numbers)=k5_circcomb(k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1), k1_xboole_0) &  (k1_funct_1(F, k5_numbers)=k4_tarski(k1_xboole_0, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1)) &  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  ( ( ~ (v2_struct_0(H))  & l1_msualg_1(H))  =>  (! [I] :  ( (H=k1_funct_1(E, G) & I=k1_funct_1(F, G))  =>  (k1_funct_1(E, k1_nat_1(G, 1))=k2_circcomb(H, k19_facirc_1(k1_funct_1(B, k1_nat_1(G, 1)), k1_funct_1(C, k1_nat_1(G, 1)), I)) & k1_funct_1(F, k1_nat_1(G, 1))=k17_facirc_1(k1_funct_1(B, k1_nat_1(G, 1)), k1_funct_1(C, k1_nat_1(G, 1)), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_facirc_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v3_msualg_1(D, k3_facirc_2(A, B, C)) &  (v4_msafree2(D, k3_facirc_2(A, B, C)) &  (v4_circcomb(D, k3_facirc_2(A, B, C)) &  (v6_circcomb(D, k3_facirc_2(A, B, C)) & l3_msualg_1(D, k3_facirc_2(A, B, C))) ) ) )  =>  (D=k4_facirc_2(A, B, C) <=>  (? [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v1_funct_1(E) & v1_partfun1(E, k4_ordinal1)) ) )  &  (? [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, k4_ordinal1) &  (v1_funct_1(F) & v1_partfun1(F, k4_ordinal1)) ) )  &  (? [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, k4_ordinal1) &  (v1_funct_1(G) & v1_partfun1(G, k4_ordinal1)) ) )  &  (k3_facirc_2(A, B, C)=k1_funct_1(E, A) &  (D=k1_funct_1(F, A) &  (k1_funct_1(E, k5_numbers)=k5_circcomb(k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1), k1_xboole_0) &  (k1_funct_1(F, k5_numbers)=k7_circcomb(k5_ordinal1, k5_margrel1, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1), k1_xboole_0) &  (k1_funct_1(G, k5_numbers)=k4_tarski(k1_xboole_0, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1)) &  (! [H] :  (v7_ordinal1(H) =>  (! [I] :  ( ( ~ (v2_struct_0(I))  & l1_msualg_1(I))  =>  (! [J] :  ( (v4_msualg_1(J, I) & l3_msualg_1(J, I))  =>  (! [K] :  ( (I=k1_funct_1(E, H) &  (J=k1_funct_1(F, H) & K=k1_funct_1(G, H)) )  =>  (k1_funct_1(E, k1_nat_1(H, 1))=k2_circcomb(I, k19_facirc_1(k1_funct_1(B, k1_nat_1(H, 1)), k1_funct_1(C, k1_nat_1(H, 1)), K)) &  (k1_funct_1(F, k1_nat_1(H, 1))=k3_circcomb(I, k19_facirc_1(k1_funct_1(B, k1_nat_1(H, 1)), k1_funct_1(C, k1_nat_1(H, 1)), K), J, k20_facirc_1(k1_funct_1(B, k1_nat_1(H, 1)), k1_funct_1(C, k1_nat_1(H, 1)), K)) & k1_funct_1(G, k1_nat_1(H, 1))=k17_facirc_1(k1_funct_1(B, k1_nat_1(H, 1)), k1_funct_1(C, k1_nat_1(H, 1)), K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_facirc_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  (m2_subset_1(D, u1_struct_0(k3_facirc_2(A, B, C)), k3_msafree2(k3_facirc_2(A, B, C))) =>  (D=k5_facirc_2(A, B, C) <=>  (? [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v1_funct_1(E) & v1_partfun1(E, k4_ordinal1)) ) )  &  (D=k1_funct_1(E, A) &  (k1_funct_1(E, k5_numbers)=k4_tarski(k1_xboole_0, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1)) &  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (G=k1_funct_1(E, F) => k1_funct_1(E, k1_nat_1(F, 1))=k17_facirc_1(k1_funct_1(B, k1_nat_1(F, 1)), k1_funct_1(C, k1_nat_1(F, 1)), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_facirc_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v1_funct_1(D) & v1_partfun1(D, k4_ordinal1)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v1_funct_1(E) & v1_partfun1(E, k4_ordinal1)) ) )  =>  ( (k1_funct_1(C, k5_numbers)=k5_circcomb(k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1), k1_xboole_0) &  (k1_funct_1(D, k5_numbers)=k7_circcomb(k5_ordinal1, k5_margrel1, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1), k1_xboole_0) &  (k1_funct_1(E, k5_numbers)=k4_tarski(k1_xboole_0, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1)) &  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_msualg_1(G))  =>  (! [H] :  ( (v4_msualg_1(H, G) & l3_msualg_1(H, G))  =>  (! [I] :  ( (G=k1_funct_1(C, F) &  (H=k1_funct_1(D, F) & I=k1_funct_1(E, F)) )  =>  (k1_funct_1(C, k1_nat_1(F, 1))=k2_circcomb(G, k19_facirc_1(k1_funct_1(A, k1_nat_1(F, 1)), k1_funct_1(B, k1_nat_1(F, 1)), I)) &  (k1_funct_1(D, k1_nat_1(F, 1))=k3_circcomb(G, k19_facirc_1(k1_funct_1(A, k1_nat_1(F, 1)), k1_funct_1(B, k1_nat_1(F, 1)), I), H, k20_facirc_1(k1_funct_1(A, k1_nat_1(F, 1)), k1_funct_1(B, k1_nat_1(F, 1)), I)) & k1_funct_1(E, k1_nat_1(F, 1))=k17_facirc_1(k1_funct_1(A, k1_nat_1(F, 1)), k1_funct_1(B, k1_nat_1(F, 1)), I)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [F] :  (v7_ordinal1(F) =>  (k3_facirc_2(F, A, B)=k1_funct_1(C, F) &  (k4_facirc_2(F, A, B)=k1_funct_1(D, F) & k5_facirc_2(F, A, B)=k1_funct_1(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_facirc_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (k3_facirc_2(k5_numbers, A, B)=k5_circcomb(k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1), k1_xboole_0) &  (k4_facirc_2(k5_numbers, A, B)=k7_circcomb(k5_ordinal1, k5_margrel1, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1), k1_xboole_0) & k5_facirc_2(k5_numbers, A, B)=k4_tarski(k1_xboole_0, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1))) ) ) ) ) ) ).
fof(t8_facirc_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (C=k4_tarski(k1_xboole_0, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1)) =>  (k3_facirc_2(1, A, B)=k2_circcomb(k5_circcomb(k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1), k1_xboole_0), k19_facirc_1(k1_funct_1(A, 1), k1_funct_1(B, 1), C)) &  (k4_facirc_2(1, A, B)=k3_circcomb(k5_circcomb(k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1), k1_xboole_0), k19_facirc_1(k1_funct_1(A, 1), k1_funct_1(B, 1), C), k7_circcomb(k5_ordinal1, k5_margrel1, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1), k1_xboole_0), k20_facirc_1(k1_funct_1(A, 1), k1_funct_1(B, 1), C)) & k5_facirc_2(1, A, B)=k17_facirc_1(k1_funct_1(A, 1), k1_funct_1(B, 1), C)) ) ) ) ) ) ) ) ).
fof(t9_facirc_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (C=k4_tarski(k1_xboole_0, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1)) =>  (k3_facirc_2(1, k9_finseq_1(A), k9_finseq_1(B))=k2_circcomb(k5_circcomb(k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1), k1_xboole_0), k19_facirc_1(A, B, C)) &  (k4_facirc_2(1, k9_finseq_1(A), k9_finseq_1(B))=k3_circcomb(k5_circcomb(k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1), k1_xboole_0), k19_facirc_1(A, B, C), k7_circcomb(k5_ordinal1, k5_margrel1, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1), k1_xboole_0), k20_facirc_1(A, B, C)) & k5_facirc_2(1, k9_finseq_1(A), k9_finseq_1(B))=k17_facirc_1(A, B, C)) ) ) ) ) ) ).
fof(t10_facirc_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) )  =>  (! [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) & v1_finseq_1(G)) )  =>  (k3_facirc_2(A, k7_finseq_1(B, D), k7_finseq_1(C, F))=k3_facirc_2(A, k7_finseq_1(B, E), k7_finseq_1(C, G)) &  (k4_facirc_2(A, k7_finseq_1(B, D), k7_finseq_1(C, F))=k4_facirc_2(A, k7_finseq_1(B, E), k7_finseq_1(C, G)) & k5_facirc_2(A, k7_finseq_1(B, D), k7_finseq_1(C, F))=k5_facirc_2(A, k7_finseq_1(B, E), k7_finseq_1(C, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_facirc_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) )  =>  (! [D] :  (! [E] :  (k3_facirc_2(k1_nat_1(A, 1), k7_finseq_1(B, k9_finseq_1(D)), k7_finseq_1(C, k9_finseq_1(E)))=k2_circcomb(k3_facirc_2(A, B, C), k19_facirc_1(D, E, k5_facirc_2(A, B, C))) &  (k4_facirc_2(k1_nat_1(A, 1), k7_finseq_1(B, k9_finseq_1(D)), k7_finseq_1(C, k9_finseq_1(E)))=k3_circcomb(k3_facirc_2(A, B, C), k19_facirc_1(D, E, k5_facirc_2(A, B, C)), k4_facirc_2(A, B, C), k20_facirc_1(D, E, k5_facirc_2(A, B, C))) & k5_facirc_2(k1_nat_1(A, 1), k7_finseq_1(B, k9_finseq_1(D)), k7_finseq_1(C, k9_finseq_1(E)))=k17_facirc_1(D, E, k5_facirc_2(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t12_facirc_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (k3_facirc_2(k1_nat_1(A, 1), B, C)=k2_circcomb(k3_facirc_2(A, B, C), k19_facirc_1(k1_funct_1(B, k1_nat_1(A, 1)), k1_funct_1(C, k1_nat_1(A, 1)), k5_facirc_2(A, B, C))) &  (k4_facirc_2(k1_nat_1(A, 1), B, C)=k3_circcomb(k3_facirc_2(A, B, C), k19_facirc_1(k1_funct_1(B, k1_nat_1(A, 1)), k1_funct_1(C, k1_nat_1(A, 1)), k5_facirc_2(A, B, C)), k4_facirc_2(A, B, C), k20_facirc_1(k1_funct_1(B, k1_nat_1(A, 1)), k1_funct_1(C, k1_nat_1(A, 1)), k5_facirc_2(A, B, C))) & k5_facirc_2(k1_nat_1(A, 1), B, C)=k17_facirc_1(k1_funct_1(B, k1_nat_1(A, 1)), k1_funct_1(C, k1_nat_1(A, 1)), k5_facirc_2(A, B, C))) ) ) ) ) ) ) ) ).
fof(t13_facirc_2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (r1_xxreal_0(A, B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  => r1_tarski(k3_msafree2(k3_facirc_2(A, C, D)), k3_msafree2(k3_facirc_2(B, C, D)))) ) ) ) ) ) ) ) ) ).
fof(t14_facirc_2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  => k3_msafree2(k3_facirc_2(k1_nat_1(A, 1), B, C))=k2_xboole_0(k3_msafree2(k3_facirc_2(A, B, C)), k3_msafree2(k19_facirc_1(k1_funct_1(B, k1_nat_1(A, 1)), k1_funct_1(C, k1_nat_1(A, 1)), k5_facirc_2(A, B, C))))) ) ) ) ) ) ).
fof(d6_facirc_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (! [E] :  (m2_subset_1(E, u1_struct_0(k3_facirc_2(B, C, D)), k3_msafree2(k3_facirc_2(B, C, D))) =>  (E=k6_facirc_2(A, B, C, D) <=>  (? [F] :  (m1_subset_1(F, k4_ordinal1) &  (A=k1_nat_1(F, 1) & E=k12_facirc_1(k1_funct_1(C, A), k1_funct_1(D, A), k5_facirc_2(F, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_facirc_2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ( ~ (r1_xxreal_0(A, B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  => k6_facirc_2(k1_nat_1(B, 1), A, C, D)=k12_facirc_1(k1_funct_1(C, k1_nat_1(B, 1)), k1_funct_1(D, k1_nat_1(B, 1)), k5_facirc_2(B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t16_facirc_2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  => v1_relat_1(k3_msafree2(k3_facirc_2(A, B, C)))) ) ) ) ) ) ).
fof(t17_facirc_2, axiom,  (! [A] :  (! [B] :  (! [C] : k3_msafree2(k14_facirc_1(A, B, C))=k1_enumset1(k4_tarski(k10_finseq_1(A, B), k3_facirc_1), k4_tarski(k10_finseq_1(B, C), k3_facirc_1), k4_tarski(k10_finseq_1(C, A), k3_facirc_1))) ) ) ).
fof(t18_facirc_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (A=k4_tarski(k10_finseq_1(B, C), k3_facirc_1))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k3_facirc_1))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k3_facirc_1))  &  ~ (k2_msafree2(k14_facirc_1(A, B, C))=k1_enumset1(A, B, C)) ) ) ) ) ) ) ) ).
fof(t19_facirc_2, axiom,  (! [A] :  (! [B] :  (! [C] : k3_msafree2(k15_facirc_1(A, B, C))=k2_xboole_0(k1_enumset1(k4_tarski(k10_finseq_1(A, B), k3_facirc_1), k4_tarski(k10_finseq_1(B, C), k3_facirc_1), k4_tarski(k10_finseq_1(C, A), k3_facirc_1)), k1_tarski(k17_facirc_1(A, B, C)))) ) ) ).
fof(t20_facirc_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (A=k4_tarski(k10_finseq_1(B, C), k3_facirc_1))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k3_facirc_1))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k3_facirc_1))  &  ~ (k2_msafree2(k15_facirc_1(A, B, C))=k1_enumset1(A, B, C)) ) ) ) ) ) ) ) ).
fof(t21_facirc_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  ( (r1_circcomb(A, B) & k2_msafree2(A)=k2_msafree2(B))  => k2_msafree2(k2_circcomb(A, B))=k2_msafree2(A)) ) ) ) ) ).
fof(t22_facirc_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (A=k4_tarski(k10_finseq_1(B, C), k3_facirc_1))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k3_facirc_1))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k3_facirc_1))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k1_facirc_1))  &  ~ (k2_msafree2(k19_facirc_1(A, B, C))=k1_enumset1(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t23_facirc_2, axiom,  (! [A] :  (! [B] :  (! [C] : k3_msafree2(k19_facirc_1(A, B, C))=k2_xboole_0(k2_xboole_0(k2_tarski(k4_tarski(k10_finseq_1(A, B), k1_facirc_1), k9_facirc_1(A, B, C, k1_facirc_1)), k1_enumset1(k4_tarski(k10_finseq_1(A, B), k3_facirc_1), k4_tarski(k10_finseq_1(B, C), k3_facirc_1), k4_tarski(k10_finseq_1(C, A), k3_facirc_1))), k1_tarski(k17_facirc_1(A, B, C)))) ) ) ).
fof(t24_facirc_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( (k1_xfamily(k5_facirc_2(C, A, B))=k1_xboole_0 &  (k2_xfamily(k5_facirc_2(C, A, B))=k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1) & k9_xtuple_0(k2_xfamily(k5_facirc_2(C, A, B)))=k4_finseq_2(k5_numbers, k5_margrel1)) )  |  (k1_card_1(k1_xfamily(k5_facirc_2(C, A, B)))=3 &  (k2_xfamily(k5_facirc_2(C, A, B))=k4_facirc_1 & k9_xtuple_0(k2_xfamily(k5_facirc_2(C, A, B)))=k4_finseq_2(3, k5_margrel1)) ) ) ) ) ) ) ) ) ).
fof(t25_facirc_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( ~ (k5_facirc_2(A, B, C)=k4_tarski(D, k3_facirc_1))  &  ~ (k5_facirc_2(A, B, C)=k4_tarski(D, k1_facirc_1)) ) ) ) ) ) ) ) ) ).
fof(t26_facirc_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_facirc_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v2_facirc_1(B)) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (k2_msafree2(k3_facirc_2(k1_nat_1(C, 1), A, B))=k2_xboole_0(k2_msafree2(k3_facirc_2(C, A, B)), k7_subset_1(u1_struct_0(k19_facirc_1(k1_funct_1(A, k1_nat_1(C, 1)), k1_funct_1(B, k1_nat_1(C, 1)), k5_facirc_2(C, A, B))), k2_msafree2(k19_facirc_1(k1_funct_1(A, k1_nat_1(C, 1)), k1_funct_1(B, k1_nat_1(C, 1)), k5_facirc_2(C, A, B))), k1_tarski(k5_facirc_2(C, A, B)))) &  (v1_relat_1(k3_msafree2(k3_facirc_2(C, A, B))) &  ~ (v1_facirc_1(k2_msafree2(k3_facirc_2(C, A, B)))) ) ) ) ) ) ) ) ) ).
fof(t27_facirc_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) &  (v1_finseq_1(B) & v2_facirc_1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) &  (v1_finseq_1(C) & v2_facirc_1(C)) ) ) )  => k2_msafree2(k3_facirc_2(A, B, C))=k2_xboole_0(k10_xtuple_0(B), k10_xtuple_0(C))) ) ) ) ) ) ).
fof(t28_facirc_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k15_facirc_1(A, B, C), k18_facirc_1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  (! [G] :  (m1_subset_1(G, k5_margrel1) =>  ( (E=k1_funct_1(D, k4_tarski(k10_finseq_1(A, B), k3_facirc_1)) &  (F=k1_funct_1(D, k4_tarski(k10_finseq_1(B, C), k3_facirc_1)) & G=k1_funct_1(D, k4_tarski(k10_finseq_1(C, A), k3_facirc_1))) )  => k11_facirc_1(k15_facirc_1(A, B, C), k18_facirc_1(A, B, C), k6_circuit2(k15_facirc_1(A, B, C), k18_facirc_1(A, B, C), D), k17_facirc_1(A, B, C))=k1_binarith(k1_binarith(E, F), G)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_facirc_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (A=k4_tarski(k10_finseq_1(B, C), k3_facirc_1))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k3_facirc_1))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k3_facirc_1))  &  ~ ( (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k15_facirc_1(A, B, C), k18_facirc_1(A, B, C)))) => v1_circuit2(k5_facirc_1(k15_facirc_1(A, B, C), k18_facirc_1(A, B, C), D, 2), k15_facirc_1(A, B, C), k18_facirc_1(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t30_facirc_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (A=k4_tarski(k10_finseq_1(B, C), k3_facirc_1))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k3_facirc_1))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k3_facirc_1))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k1_facirc_1))  &  (? [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k19_facirc_1(A, B, C), k20_facirc_1(A, B, C)))) &  (? [E] :  (m1_subset_1(E, k5_margrel1) &  (? [F] :  (m1_subset_1(F, k5_margrel1) &  (? [G] :  (m1_subset_1(G, k5_margrel1) &  (E=k1_funct_1(D, A) &  (F=k1_funct_1(D, B) &  (G=k1_funct_1(D, C) &  ~ ( (k1_funct_1(k5_facirc_1(k19_facirc_1(A, B, C), k20_facirc_1(A, B, C), D, 2), k12_facirc_1(A, B, C))=k2_binarith(k2_binarith(E, F), G) & k1_funct_1(k5_facirc_1(k19_facirc_1(A, B, C), k20_facirc_1(A, B, C), D, 2), k17_facirc_1(A, B, C))=k1_binarith(k1_binarith(k9_margrel1(E, F), k9_margrel1(F, G)), k9_margrel1(G, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_facirc_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (A=k4_tarski(k10_finseq_1(B, C), k3_facirc_1))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k3_facirc_1))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k3_facirc_1))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k1_facirc_1))  &  ~ ( (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k19_facirc_1(A, B, C), k20_facirc_1(A, B, C)))) => v1_circuit2(k5_facirc_1(k19_facirc_1(A, B, C), k20_facirc_1(A, B, C), D, 2), k19_facirc_1(A, B, C), k20_facirc_1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_facirc_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) &  (v1_finseq_1(B) & v2_facirc_1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) &  (v1_finseq_1(C) & v2_facirc_1(C)) ) ) )  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k3_facirc_2(A, B, C), k4_facirc_2(A, B, C)))) => v1_circuit2(k5_facirc_1(k3_facirc_2(A, B, C), k4_facirc_2(A, B, C), D, k2_xcmplx_0(1, k3_xcmplx_0(2, A))), k3_facirc_2(A, B, C), k4_facirc_2(A, B, C))) ) ) ) ) ) ) ) ).
fof(t33_facirc_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, k1_nat_1(A, 1)) & v1_finseq_1(B)) ) )  =>  (? [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) )  &  (? [D] : B=k7_finseq_1(C, k9_finseq_1(D))) ) ) ) ) ) ) ).
fof(t34_facirc_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, k1_nat_1(A, 1)) &  (v1_finseq_1(B) & v2_facirc_1(B)) ) ) )  =>  (? [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) &  (v1_finseq_1(C) & v2_facirc_1(C)) ) ) )  &  (? [D] :  ( ~ (v1_xtuple_0(D))  & B=k7_finseq_1(C, k9_finseq_1(D))) ) ) ) ) ) ) ) ).
fof(dt_k1_facirc_2, axiom,  (! [A] :  (v11_struct_0(k1_facirc_2(A)) &  (v1_msualg_1(k1_facirc_2(A)) & l1_msualg_1(k1_facirc_2(A))) ) ) ).
fof(dt_k2_facirc_2, axiom,  (! [A] :  (v3_msualg_1(k2_facirc_2(A), k1_facirc_2(A)) &  (v6_circcomb(k2_facirc_2(A), k1_facirc_2(A)) & l3_msualg_1(k2_facirc_2(A), k1_facirc_2(A))) ) ) ).
fof(dt_k3_facirc_2, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) )  =>  ( ~ (v2_struct_0(k3_facirc_2(A, B, C)))  &  ( ~ (v11_struct_0(k3_facirc_2(A, B, C)))  &  (v1_msualg_1(k3_facirc_2(A, B, C)) &  (v1_circcomb(k3_facirc_2(A, B, C)) &  (v2_circcomb(k3_facirc_2(A, B, C)) &  (v3_circcomb(k3_facirc_2(A, B, C)) & l1_msualg_1(k3_facirc_2(A, B, C))) ) ) ) ) ) ) ) ).
fof(dt_k4_facirc_2, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) )  =>  (v3_msualg_1(k4_facirc_2(A, B, C), k3_facirc_2(A, B, C)) &  (v4_msafree2(k4_facirc_2(A, B, C), k3_facirc_2(A, B, C)) &  (v4_circcomb(k4_facirc_2(A, B, C), k3_facirc_2(A, B, C)) &  (v6_circcomb(k4_facirc_2(A, B, C), k3_facirc_2(A, B, C)) & l3_msualg_1(k4_facirc_2(A, B, C), k3_facirc_2(A, B, C))) ) ) ) ) ) ).
fof(dt_k5_facirc_2, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) )  => m2_subset_1(k5_facirc_2(A, B, C), u1_struct_0(k3_facirc_2(A, B, C)), k3_msafree2(k3_facirc_2(A, B, C)))) ) ).
fof(dt_k6_facirc_2, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  &  (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) ) ) ) )  => m2_subset_1(k6_facirc_2(A, B, C, D), u1_struct_0(k3_facirc_2(B, C, D)), k3_msafree2(k3_facirc_2(B, C, D)))) ) ).
fof(cc1_fcont_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))) =>  ( (v1_funct_1(A) & v3_funct_1(A))  =>  (v1_funct_1(A) & v1_fcont_1(A)) ) ) ) ).
fof(rc1_fcont_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))) &  (v1_relat_1(A) &  (v4_relat_1(A, k1_numbers) &  (v5_relat_1(A, k1_numbers) &  (v1_funct_1(A) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) & v1_fcont_1(A)) ) ) ) ) ) ) ) ) ).
fof(fc1_fcont_1, axiom,  (! [A, B] :  ( (v1_funct_1(A) &  (v1_fcont_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (v1_funct_1(k5_relat_1(A, B)) & v1_fcont_1(k5_relat_1(A, B))) ) ) ).
fof(cc2_fcont_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))) =>  ( (v1_funct_1(A) & v1_xboole_0(A))  =>  (v1_funct_1(A) & v1_fcont_1(A)) ) ) ) ).
fof(fc2_fcont_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  & v1_zfmisc_1(B))  =>  (v1_funct_1(k5_relat_1(A, B)) & v1_fcont_1(k5_relat_1(A, B))) ) ) ).
fof(fc3_fcont_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_fcont_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (v1_funct_1(B) &  (v1_fcont_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  =>  (v1_funct_1(k1_valued_1(A, B)) & v1_fcont_1(k1_valued_1(A, B))) ) ) ).
fof(fc4_fcont_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_fcont_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (v1_funct_1(B) &  (v1_fcont_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  =>  (v1_funct_1(k45_valued_1(A, B)) & v1_fcont_1(k45_valued_1(A, B))) ) ) ).
fof(fc5_fcont_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_fcont_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (v1_funct_1(B) &  (v1_fcont_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  =>  (v1_funct_1(k18_valued_1(A, B)) & v1_fcont_1(k18_valued_1(A, B))) ) ) ).
fof(fc6_fcont_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_fcont_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  & v1_xreal_0(B))  =>  (v1_funct_1(k24_valued_1(A, B)) & v1_fcont_1(k24_valued_1(A, B))) ) ) ).
fof(fc7_fcont_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_fcont_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (v1_funct_1(B) &  (v1_fcont_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  =>  (v1_funct_1(k3_relat_1(A, B)) & v1_fcont_1(k3_relat_1(A, B))) ) ) ).
fof(cc3_fcont_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))) =>  ( (v1_funct_1(A) & v1_xboole_0(A))  =>  (v1_funct_1(A) & v2_fcont_1(A)) ) ) ) ).
fof(rc2_fcont_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))) &  (v1_relat_1(A) &  (v4_relat_1(A, k1_numbers) &  (v5_relat_1(A, k1_numbers) &  (v1_funct_1(A) &  (v1_xboole_0(A) &  (v1_valued_0(A) &  (v2_valued_0(A) & v3_valued_0(A)) ) ) ) ) ) ) ) ) ).
fof(fc8_fcont_1, axiom,  (! [A, B] :  ( (v1_funct_1(A) &  (v2_fcont_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (v1_funct_1(k5_relat_1(A, B)) & v2_fcont_1(k5_relat_1(A, B))) ) ) ).
fof(fc9_fcont_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v2_fcont_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (v1_funct_1(B) &  (v2_fcont_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  =>  (v1_funct_1(k1_valued_1(A, B)) & v2_fcont_1(k1_valued_1(A, B))) ) ) ).
fof(fc10_fcont_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v2_fcont_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (v1_funct_1(B) &  (v2_fcont_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  =>  (v1_funct_1(k45_valued_1(A, B)) & v2_fcont_1(k45_valued_1(A, B))) ) ) ).
fof(fc11_fcont_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_comseq_2(A) &  (v2_fcont_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  &  (v1_funct_1(B) &  (v1_comseq_2(B) &  (v2_fcont_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ) )  =>  (v1_funct_1(k18_valued_1(A, B)) & v2_fcont_1(k18_valued_1(A, B))) ) ) ).
fof(fc12_fcont_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v2_fcont_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  & v1_xreal_0(B))  =>  (v1_funct_1(k24_valued_1(A, B)) & v2_fcont_1(k24_valued_1(A, B))) ) ) ).
fof(fc13_fcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v2_fcont_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (v1_funct_1(k54_valued_1(A)) & v2_fcont_1(k54_valued_1(A))) ) ) ).
fof(cc4_fcont_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))) =>  ( (v1_funct_1(A) & v3_funct_1(A))  =>  (v1_funct_1(A) & v2_fcont_1(A)) ) ) ) ).
fof(fc14_fcont_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (v1_funct_1(k4_relat_1(A)) & v2_fcont_1(k4_relat_1(A))) ) ) ).
fof(cc5_fcont_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))) =>  ( (v1_funct_1(A) & v2_fcont_1(A))  =>  (v1_funct_1(A) & v1_fcont_1(A)) ) ) ) ).
fof(fc15_fcont_1, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  =>  (v1_funct_1(k1_fcont_1(A, B)) &  (v1_funct_2(k1_fcont_1(A, B), k1_numbers, k1_numbers) & v1_fcont_1(k1_fcont_1(A, B))) ) ) ) ).
fof(rc3_fcont_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))) &  (v1_relat_1(A) &  (v4_relat_1(A, k1_numbers) &  (v5_relat_1(A, k1_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_partfun1(A, k1_numbers) &  (v1_funct_2(A, k1_numbers, k1_numbers) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) & v1_fcont_1(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_fcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (r1_fcont_1(A, B) <=>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (r1_tarski(k2_relset_1(k1_numbers, C), k1_relset_1(k1_numbers, A)) &  (v2_comseq_2(C) & k1_seq_2(C)=B) )  =>  (v2_comseq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, C, A)) & k1_funct_1(A, B)=k1_seq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, C, A))) ) ) ) ) ) ) ) ) ).
fof(t1_fcont_1, axiom,  (! [A] :  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_hidden(B, A) & r1_fcont_1(C, B))  => r1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, A), B)) ) ) ) ) ) ).
fof(t2_fcont_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_fcont_1(B, A) <=>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (r1_tarski(k2_relset_1(k1_numbers, C), k1_relset_1(k1_numbers, B)) &  (v2_comseq_2(C) &  (k1_seq_2(C)=A &  (! [D] :  (v7_ordinal1(D) =>  ~ (k1_funct_1(C, D)=A) ) ) ) ) )  =>  (v2_comseq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, C, B)) & k1_funct_1(B, A)=k1_seq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, C, B))) ) ) ) ) ) ) ) ) ).
fof(t3_fcont_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_fcont_1(B, A) <=>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, k1_relset_1(k1_numbers, B)) &  ( ~ (r1_xxreal_0(D, k9_complex1(k6_xcmplx_0(E, A))))  & r1_xxreal_0(C, k9_complex1(k6_xcmplx_0(k1_funct_1(B, E), k1_funct_1(B, A))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_fcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (r1_fcont_1(A, B) <=>  (! [C] :  (m1_rcomp_1(C, k1_funct_1(A, B)) =>  (? [D] :  (m1_rcomp_1(D, B) &  (! [E] :  (v1_xreal_0(E) =>  ( (r2_hidden(E, k1_relset_1(k1_numbers, A)) & r2_hidden(E, D))  => r2_tarski(k1_funct_1(A, E), C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_fcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (r1_fcont_1(A, B) <=>  (! [C] :  (m1_rcomp_1(C, k1_funct_1(A, B)) =>  (? [D] :  (m1_rcomp_1(D, B) & r1_tarski(k7_relset_1(k1_numbers, k1_numbers, A, D), C)) ) ) ) ) ) ) ) ) ).
fof(t6_fcont_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (? [C] :  (m1_rcomp_1(C, A) & k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), C)=k1_seq_4(A)) )  => r1_fcont_1(B, A)) ) ) ) ) ).
fof(t7_fcont_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_hidden(A, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k1_relset_1(k1_numbers, C))) &  (r1_fcont_1(B, A) & r1_fcont_1(C, A)) )  =>  (r1_fcont_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A) &  (r1_fcont_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A) & r1_fcont_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ) ) ).
fof(t8_fcont_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_hidden(B, k1_relset_1(k1_numbers, C)) & r1_fcont_1(C, B))  => r1_fcont_1(k26_valued_1(k1_numbers, k1_numbers, C, A), B)) ) ) ) ) ) ) ).
fof(t9_fcont_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_hidden(A, k1_relset_1(k1_numbers, B)) & r1_fcont_1(B, A))  =>  (r1_fcont_1(k56_valued_1(k1_numbers, k1_numbers, B), A) & r1_fcont_1(k32_valued_1(k1_numbers, k1_numbers, B), A)) ) ) ) ) ) ).
fof(t10_fcont_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_fcont_1(B, A) =>  (k1_funct_1(B, A)=k5_numbers | r1_fcont_1(k6_rfunct_1(k1_numbers, k1_numbers, B), A)) ) ) ) ) ) ).
fof(t11_fcont_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_hidden(A, k1_relset_1(k1_numbers, C)) &  (r1_fcont_1(B, A) & r1_fcont_1(C, A)) )  =>  (k1_funct_1(B, A)=k5_numbers | r1_fcont_1(k3_rfunct_1(k1_numbers, k1_numbers, C, B), A)) ) ) ) ) ) ) ) ).
fof(t12_fcont_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_hidden(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C))) &  (r1_fcont_1(B, A) & r1_fcont_1(C, k1_funct_1(B, A))) )  => r1_fcont_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ).
fof(d2_fcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v1_fcont_1(A) <=>  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, k1_relset_1(k1_numbers, A)) => r1_fcont_1(A, B)) ) ) ) ) ) ).
fof(t13_fcont_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, B)) =>  (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A)) <=>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (r1_tarski(k2_relset_1(k1_numbers, C), A) &  (v2_comseq_2(C) & r2_hidden(k1_seq_2(C), A)) )  =>  (v2_comseq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, C, B)) & k1_funct_1(B, k1_seq_2(C))=k1_seq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, C, B))) ) ) ) ) ) ) ) ) ).
fof(t14_fcont_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, B)) =>  (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A)) <=>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( (r2_hidden(C, A) &  ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (v1_xreal_0(F) =>  ~ ( (r2_hidden(F, A) &  ( ~ (r1_xxreal_0(E, k9_complex1(k6_xcmplx_0(F, C))))  & r1_xxreal_0(D, k9_complex1(k6_xcmplx_0(k1_funct_1(B, F), k1_funct_1(B, C))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_fcont_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A)) <=> v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k2_partfun1(k1_numbers, k1_numbers, B, A), A))) ) ) ) ).
fof(t16_fcont_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, A)) & r1_tarski(B, A))  => v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, B))) ) ) ) ) ).
fof(t17_fcont_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  => v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, k1_seq_4(A)))) ) ) ) ).
fof(t18_fcont_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k1_relset_1(k1_numbers, C))) &  (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A)) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, A))) )  =>  (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A)) &  (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A)) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A))) ) ) ) ) ) ) ) ).
fof(t19_fcont_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, C)) &  (r1_tarski(B, k1_relset_1(k1_numbers, D)) &  (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, A)) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, D, B))) ) )  =>  (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k3_xboole_0(A, B))) &  (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k3_xboole_0(A, B))) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k3_xboole_0(A, B)))) ) ) ) ) ) ) ) ) ).
fof(t20_fcont_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, C)) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, B)))  => v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, C, A), B))) ) ) ) ) ) ).
fof(t21_fcont_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, B)) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A)))  =>  (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k56_valued_1(k1_numbers, k1_numbers, B), A)) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, B), A))) ) ) ) ) ).
fof(t22_fcont_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A)) & k8_relset_1(k1_numbers, k1_numbers, B, k1_seq_4(k5_numbers))=k1_xboole_0)  => v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, B), A))) ) ) ) ).
fof(t23_fcont_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A)) & k8_relset_1(k1_numbers, k1_numbers, k2_partfun1(k1_numbers, k1_numbers, B, A), k1_seq_4(k5_numbers))=k1_xboole_0)  => v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, B), A))) ) ) ) ).
fof(t24_fcont_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k1_relset_1(k1_numbers, C))) &  (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A)) &  (k8_relset_1(k1_numbers, k1_numbers, B, k1_seq_4(k5_numbers))=k1_xboole_0 & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, A))) ) )  => v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, C, B), A))) ) ) ) ) ) ).
fof(t25_fcont_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A)) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, k7_relset_1(k1_numbers, k1_numbers, B, A))))  => v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A))) ) ) ) ) ) ).
fof(t26_fcont_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, A)) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, D, B)))  => v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, D), k9_subset_1(k1_numbers, A, k8_relset_1(k1_numbers, k1_numbers, C, B))))) ) ) ) ) ) ) ).
fof(t27_fcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v1_partfun1(A, k1_numbers) &  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) => k1_funct_1(A, k2_xcmplx_0(B, C))=k2_xcmplx_0(k1_funct_1(A, B), k1_funct_1(A, C))) ) ) ) )  =>  ( (! [B] :  (v1_xreal_0(B) =>  ~ (r1_fcont_1(A, B)) ) )  | v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, A, k1_numbers))) ) ) ) ).
fof(t28_fcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v1_rcomp_1(k1_relset_1(k1_numbers, A)) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, A, k1_relset_1(k1_numbers, A))))  => v1_rcomp_1(k2_relset_1(k1_numbers, A))) ) ) ).
fof(t29_fcont_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, B)) &  (v1_rcomp_1(A) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) )  => v1_rcomp_1(k7_relset_1(k1_numbers, k1_numbers, B, A))) ) ) ) ) ).
fof(t30_fcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ~ ( ( ~ (k1_relset_1(k1_numbers, A)=k1_xboole_0)  &  (v1_rcomp_1(k1_relset_1(k1_numbers, A)) &  (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, A, k1_relset_1(k1_numbers, A))) &  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( (r2_hidden(B, k1_relset_1(k1_numbers, A)) &  (r2_hidden(C, k1_relset_1(k1_numbers, A)) &  (k1_funct_1(A, B)=k2_seq_4(k2_relset_1(k1_numbers, A)) & k1_funct_1(A, C)=k3_seq_4(k2_relset_1(k1_numbers, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_fcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  ~ ( ( ~ (B=k1_xboole_0)  &  (r1_tarski(B, k1_relset_1(k1_numbers, A)) &  (v1_rcomp_1(B) &  (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, A, B)) &  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( (r2_hidden(C, B) &  (r2_hidden(D, B) &  (k1_funct_1(A, C)=k2_seq_4(k7_relset_1(k1_numbers, k1_numbers, A, B)) & k1_funct_1(A, D)=k3_seq_4(k7_relset_1(k1_numbers, k1_numbers, A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_fcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v2_fcont_1(A) <=>  (? [B] :  (v1_xreal_0(B) &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r2_hidden(C, k1_relset_1(k1_numbers, A)) & r2_hidden(D, k1_relset_1(k1_numbers, A)))  => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k1_funct_1(A, C), k1_funct_1(A, D))), k3_xcmplx_0(B, k9_complex1(k6_xcmplx_0(C, D))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_fcont_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v2_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A)) <=>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ( (r2_hidden(D, k1_relset_1(A, k2_partfun1(k1_numbers, k1_numbers, B, A))) & r2_hidden(E, k1_relset_1(A, k2_partfun1(k1_numbers, k1_numbers, B, A))))  => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k1_funct_1(B, D), k1_funct_1(B, E))), k3_xcmplx_0(C, k9_complex1(k6_xcmplx_0(D, E))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_fcont_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v2_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, A)) & r1_tarski(B, A))  => v2_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, B))) ) ) ) ) ).
fof(t34_fcont_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v2_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, A)) & v2_fcont_1(k2_partfun1(k1_numbers, k1_numbers, D, B)))  => v2_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k3_xboole_0(A, B)))) ) ) ) ) ) ) ).
fof(t35_fcont_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v2_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, A)) & v2_fcont_1(k2_partfun1(k1_numbers, k1_numbers, D, B)))  => v2_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k3_xboole_0(A, B)))) ) ) ) ) ) ) ).
fof(t36_fcont_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v2_fcont_1(k2_partfun1(k1_numbers, k1_numbers, E, A)) &  (v2_fcont_1(k2_partfun1(k1_numbers, k1_numbers, F, B)) &  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, E, C)) & v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, F, D))) ) )  => v2_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, E, F), k3_xboole_0(k3_xboole_0(k3_xboole_0(A, C), B), D)))) ) ) ) ) ) ) ) ) ).
fof(t37_fcont_1, axiom,  (! [A] :  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v2_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, A)) & r1_tarski(A, k1_relset_1(k1_numbers, C)))  => v2_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, C, B), A))) ) ) ) ) ) ).
fof(t38_fcont_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v2_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A)) =>  (v2_fcont_1(k32_valued_1(k1_numbers, k1_numbers, k2_partfun1(k1_numbers, k1_numbers, B, A))) & v2_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k56_valued_1(k1_numbers, k1_numbers, B), A))) ) ) ) ) ).
fof(t39_fcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (? [B] :  (v1_xreal_0(B) & k2_relset_1(k1_numbers, A)=k1_seq_4(B)) )  => v1_fcont_1(A)) ) ) ).
fof(t40_fcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, k1_relset_1(k1_numbers, A)) => k1_funct_1(A, B)=B) ) )  => v1_fcont_1(A)) ) ) ).
fof(t41_fcont_1, axiom,  (! [A] :  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, A) => k1_funct_1(D, E)=k2_xcmplx_0(k3_xcmplx_0(B, E), C)) ) )  => v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, D, A))) ) ) ) ) ) ) ) ).
fof(t42_fcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, k1_relset_1(k1_numbers, A)) => k1_funct_1(A, B)=k1_square_1(B)) ) )  => v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, A, k1_relset_1(k1_numbers, A)))) ) ) ).
fof(t43_fcont_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, B)) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(B, C)=k1_square_1(C)) ) ) )  => v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) ).
fof(t44_fcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, k1_relset_1(k1_numbers, A)) => k1_funct_1(A, B)=k9_complex1(B)) ) )  => v1_fcont_1(A)) ) ) ).
fof(t45_fcont_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(B, C)=k9_complex1(C)) ) )  => v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) ).
fof(t46_fcont_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v1_rfunct_2(k2_partfun1(k1_numbers, k1_numbers, B, A)) =>  ( (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( (r1_xxreal_0(C, D) & k7_relset_1(k1_numbers, k1_numbers, B, A)=k1_rcomp_1(C, D)) ) ) ) ) )  | v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) ) ).
fof(t47_fcont_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v2_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (r1_xxreal_0(B, A) & r1_tarski(k1_rcomp_1(B, A), k1_relset_1(k1_numbers, C)))  =>  ( ( ~ (v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, k1_rcomp_1(B, A))))  &  ~ (v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, k1_rcomp_1(B, A)))) )  | v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, k2_partfun1(k1_numbers, k1_numbers, C, k1_rcomp_1(B, A))), k7_relset_1(k1_numbers, k1_numbers, C, k1_rcomp_1(B, A))))) ) ) ) ) ) ) ) ).
fof(d4_fcont_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (C=k1_fcont_1(A, B) <=>  (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k2_xcmplx_0(k3_xcmplx_0(A, D), B)) ) ) ) ) ) ) ) ) ).
fof(t48_fcont_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k1_fcont_1(A, B), k5_numbers)=B) ) ) ) ).
fof(t49_fcont_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k1_fcont_1(A, B), 1)=k2_xcmplx_0(A, B)) ) ) ) ).
fof(t50_fcont_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (A=k5_numbers)  => v2_funct_1(k1_fcont_1(A, B))) ) ) ) ) ).
fof(t51_fcont_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(D, C))  & r1_xxreal_0(k1_funct_1(k1_fcont_1(A, B), D), k1_funct_1(k1_fcont_1(A, B), C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_fcont_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(k5_numbers, A))  &  ( ~ (r1_xxreal_0(D, C))  & r1_xxreal_0(k1_funct_1(k1_fcont_1(A, B), C), k1_funct_1(k1_fcont_1(A, B), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_fcont_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(k5_numbers, A) & r1_xxreal_0(C, D))  => r1_xxreal_0(k1_funct_1(k1_fcont_1(A, B), C), k1_funct_1(k1_fcont_1(A, B), D))) ) ) ) ) ) ) ) ) ).
fof(t54_fcont_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(A, k5_numbers) & r1_xxreal_0(C, D))  => r1_xxreal_0(k1_funct_1(k1_fcont_1(A, B), D), k1_funct_1(k1_fcont_1(A, B), C))) ) ) ) ) ) ) ) ) ).
fof(t55_fcont_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (A=k5_numbers)  => k2_relset_1(k1_numbers, k1_fcont_1(A, B))=k1_numbers) ) ) ) ) ).
fof(t56_fcont_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (A=k5_numbers)  => k2_funct_1(k1_fcont_1(A, B))=k1_fcont_1(k5_xcmplx_0(A), k4_xcmplx_0(k7_xcmplx_0(B, A)))) ) ) ) ) ).
fof(t57_fcont_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k7_relset_1(k1_numbers, k1_numbers, k1_fcont_1(A, B), k1_rcomp_1(k5_numbers, 1))=k1_rcomp_1(B, k2_xcmplx_0(A, B))) ) ) ) ) ).
fof(dt_k1_fcont_1, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  =>  (v1_funct_1(k1_fcont_1(A, B)) &  (v1_funct_2(k1_fcont_1(A, B), k1_numbers, k1_numbers) & m1_subset_1(k1_fcont_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ) ) ).
fof(d1_fcont_2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v1_fcont_2(A) <=>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(D, k1_relset_1(k1_numbers, A)) &  (r2_hidden(E, k1_relset_1(k1_numbers, A)) &  ( ~ (r1_xxreal_0(C, k9_complex1(k6_xcmplx_0(D, E))))  & r1_xxreal_0(B, k9_complex1(k6_xcmplx_0(k1_funct_1(A, D), k1_funct_1(A, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_fcont_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v1_fcont_2(k2_partfun1(k1_numbers, k1_numbers, B, A)) <=>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( (r2_hidden(E, k1_relset_1(k1_numbers, k2_partfun1(k1_numbers, k1_numbers, B, A))) &  (r2_hidden(F, k1_relset_1(k1_numbers, k2_partfun1(k1_numbers, k1_numbers, B, A))) &  ( ~ (r1_xxreal_0(D, k9_complex1(k6_xcmplx_0(E, F))))  & r1_xxreal_0(C, k9_complex1(k6_xcmplx_0(k1_funct_1(B, E), k1_funct_1(B, F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_fcont_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v1_fcont_2(k2_partfun1(k1_numbers, k1_numbers, C, A)) & r1_tarski(B, A))  => v1_fcont_2(k2_partfun1(k1_numbers, k1_numbers, C, B))) ) ) ) ) ).
fof(t3_fcont_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, C)) &  (r1_tarski(B, k1_relset_1(k1_numbers, D)) &  (v1_fcont_2(k2_partfun1(k1_numbers, k1_numbers, C, A)) & v1_fcont_2(k2_partfun1(k1_numbers, k1_numbers, D, B))) ) )  => v1_fcont_2(k2_partfun1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k3_xboole_0(A, B)))) ) ) ) ) ) ) ).
fof(t4_fcont_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, C)) &  (r1_tarski(B, k1_relset_1(k1_numbers, D)) &  (v1_fcont_2(k2_partfun1(k1_numbers, k1_numbers, C, A)) & v1_fcont_2(k2_partfun1(k1_numbers, k1_numbers, D, B))) ) )  => v1_fcont_2(k2_partfun1(k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k3_xboole_0(A, B)))) ) ) ) ) ) ) ).
fof(t5_fcont_2, axiom,  (! [A] :  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, C)) & v1_fcont_2(k2_partfun1(k1_numbers, k1_numbers, C, A)))  => v1_fcont_2(k2_partfun1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, C, B), A))) ) ) ) ) ) ).
fof(t6_fcont_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, B)) & v1_fcont_2(k2_partfun1(k1_numbers, k1_numbers, B, A)))  => v1_fcont_2(k2_partfun1(k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, B), A))) ) ) ) ).
fof(t7_fcont_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v1_fcont_2(k2_partfun1(k1_numbers, k1_numbers, B, A)) => v1_fcont_2(k2_partfun1(k1_numbers, k1_numbers, k56_valued_1(k1_numbers, k1_numbers, B), A))) ) ) ) ).
fof(t8_fcont_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, E)) &  (r1_tarski(B, k1_relset_1(k1_numbers, F)) &  (v1_fcont_2(k2_partfun1(k1_numbers, k1_numbers, E, A)) &  (v1_fcont_2(k2_partfun1(k1_numbers, k1_numbers, F, B)) &  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, E, C)) & v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, F, D))) ) ) ) )  => v1_fcont_2(k2_partfun1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, E, F), k3_xboole_0(k3_xboole_0(k3_xboole_0(A, C), B), D)))) ) ) ) ) ) ) ) ) ).
fof(t9_fcont_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, B)) & v1_fcont_2(k2_partfun1(k1_numbers, k1_numbers, B, A)))  => v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) ).
fof(t10_fcont_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v2_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A)) => v1_fcont_2(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) ).
fof(t11_fcont_2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, A)) &  (v1_rcomp_1(B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, A, B))) )  => v1_fcont_2(k2_partfun1(k1_numbers, k1_numbers, A, B))) ) ) ) ) ).
fof(t12_fcont_2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, B)) &  (v1_rcomp_1(A) & v1_fcont_2(k2_partfun1(k1_numbers, k1_numbers, B, A))) )  => v1_rcomp_1(k7_relset_1(k1_numbers, k1_numbers, B, A))) ) ) ) ) ).
fof(t13_fcont_2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  ~ ( ( ~ (B=k1_xboole_0)  &  (r1_tarski(B, k1_relset_1(k1_numbers, A)) &  (v1_rcomp_1(B) &  (v1_fcont_2(k2_partfun1(k1_numbers, k1_numbers, A, B)) &  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( (r2_hidden(C, B) &  (r2_hidden(D, B) &  (k1_funct_1(A, C)=k2_seq_4(k7_relset_1(k1_numbers, k1_numbers, A, B)) & k1_funct_1(A, D)=k3_seq_4(k7_relset_1(k1_numbers, k1_numbers, A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_fcont_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, B)) & v3_funct_1(k2_partfun1(k1_numbers, k1_numbers, B, A)))  => v1_fcont_2(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) ).
fof(t15_fcont_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_xxreal_0(B, A) &  (r1_tarski(k1_rcomp_1(B, A), k1_relset_1(k1_numbers, C)) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, k1_rcomp_1(B, A)))) )  =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( (r2_hidden(D, k4_subset_1(k1_numbers, k1_rcomp_1(k1_funct_1(C, B), k1_funct_1(C, A)), k1_rcomp_1(k1_funct_1(C, A), k1_funct_1(C, B)))) &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, k1_rcomp_1(B, A)) & D=k1_funct_1(C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_fcont_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_xxreal_0(B, A) &  (r1_tarski(k1_rcomp_1(B, A), k1_relset_1(k1_numbers, C)) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, k1_rcomp_1(B, A)))) )  =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( (r2_hidden(D, k1_rcomp_1(k3_seq_4(k7_relset_1(k1_numbers, k1_numbers, C, k1_rcomp_1(B, A))), k2_seq_4(k7_relset_1(k1_numbers, k1_numbers, C, k1_rcomp_1(B, A))))) &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, k1_rcomp_1(B, A)) & D=k1_funct_1(C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_fcont_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ~ ( (v2_funct_1(C) &  (r1_tarski(k1_rcomp_1(B, A), k1_relset_1(k1_numbers, C)) &  (r1_xxreal_0(B, A) &  (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, k1_rcomp_1(B, A))) &  ( ~ (v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, k1_rcomp_1(B, A))))  &  ~ (v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, k1_rcomp_1(B, A)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_fcont_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ~ ( (v2_funct_1(C) &  (r1_xxreal_0(B, A) &  (r1_tarski(k1_rcomp_1(B, A), k1_relset_1(k1_numbers, C)) &  (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, k1_rcomp_1(B, A))) &  ( ~ ( (k3_seq_4(k7_relset_1(k1_numbers, k1_numbers, C, k1_rcomp_1(B, A)))=k1_funct_1(C, B) & k2_seq_4(k7_relset_1(k1_numbers, k1_numbers, C, k1_rcomp_1(B, A)))=k1_funct_1(C, A)) )  &  ~ ( (k3_seq_4(k7_relset_1(k1_numbers, k1_numbers, C, k1_rcomp_1(B, A)))=k1_funct_1(C, A) & k2_seq_4(k7_relset_1(k1_numbers, k1_numbers, C, k1_rcomp_1(B, A)))=k1_funct_1(C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_fcont_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_xxreal_0(B, A) &  (r1_tarski(k1_rcomp_1(B, A), k1_relset_1(k1_numbers, C)) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, k1_rcomp_1(B, A)))) )  => k7_relset_1(k1_numbers, k1_numbers, C, k1_rcomp_1(B, A))=k1_rcomp_1(k3_seq_4(k7_relset_1(k1_numbers, k1_numbers, C, k1_rcomp_1(B, A))), k2_seq_4(k7_relset_1(k1_numbers, k1_numbers, C, k1_rcomp_1(B, A))))) ) ) ) ) ) ) ).
fof(t20_fcont_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v2_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (r1_xxreal_0(B, A) &  (r1_tarski(k1_rcomp_1(B, A), k1_relset_1(k1_numbers, C)) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, k1_rcomp_1(B, A)))) )  => v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, C), k1_rcomp_1(k3_seq_4(k7_relset_1(k1_numbers, k1_numbers, C, k1_rcomp_1(B, A))), k2_seq_4(k7_relset_1(k1_numbers, k1_numbers, C, k1_rcomp_1(B, A))))))) ) ) ) ) ) ) ).
fof(fc1_fcont_3, axiom, v2_rcomp_1(k2_subset_1(k1_numbers))).
fof(cc1_fcont_3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (v1_xboole_0(A) => v2_rcomp_1(A)) ) ) ).
fof(fc2_fcont_3, axiom, v3_rcomp_1(k2_subset_1(k1_numbers))).
fof(cc2_fcont_3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (v1_xboole_0(A) => v3_rcomp_1(A)) ) ) ).
fof(fc3_fcont_3, axiom,  (! [A] :  (v1_xreal_0(A) => v2_rcomp_1(k2_limfunc1(A))) ) ).
fof(fc4_fcont_3, axiom,  (! [A] :  (v1_xreal_0(A) => v2_rcomp_1(k1_limfunc1(A))) ) ).
fof(fc5_fcont_3, axiom,  (! [A] :  (v1_xreal_0(A) => v3_rcomp_1(k3_limfunc1(A))) ) ).
fof(fc6_fcont_3, axiom,  (! [A] :  (v1_xreal_0(A) => v3_rcomp_1(k10_prob_1(A))) ) ).
fof(t1_fcont_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( (r2_hidden(B, k2_rcomp_1(k6_xcmplx_0(A, C), k2_xcmplx_0(A, C))) & r1_xxreal_0(C, k9_complex1(k6_xcmplx_0(B, A)))) ) ) ) ) ) ) ) ).
fof(t2_fcont_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(B, k2_rcomp_1(k6_xcmplx_0(A, C), k2_xcmplx_0(A, C))) => r2_tarski(k6_xcmplx_0(B, A), k2_rcomp_1(k4_xcmplx_0(C), C))) ) ) ) ) ) ) ).
fof(t3_fcont_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (C=k2_xcmplx_0(A, B) =>  (r1_xxreal_0(D, k9_complex1(B)) |  ( ~ (r1_xxreal_0(D, k5_numbers))  & r2_hidden(C, k2_rcomp_1(k6_xcmplx_0(A, D), k2_xcmplx_0(A, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_fcont_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (r2_tarski(k6_xcmplx_0(B, A), k2_rcomp_1(k4_xcmplx_0(C), C)) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  & r2_hidden(B, k2_rcomp_1(k6_xcmplx_0(A, C), k2_xcmplx_0(A, C)))) ) ) ) ) ) ) ) ).
fof(t5_fcont_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  (v1_xreal_0(C) =>  ( (! [D] :  (v7_ordinal1(D) => k1_funct_1(B, D)=k6_xcmplx_0(C, k7_xcmplx_0(A, k2_xcmplx_0(D, 1)))) )  =>  (v2_comseq_2(B) & k1_seq_2(B)=C) ) ) ) ) ) ) ) ).
fof(t6_fcont_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  (v1_xreal_0(C) =>  ( (! [D] :  (v7_ordinal1(D) => k1_funct_1(B, D)=k2_xcmplx_0(C, k7_xcmplx_0(A, k2_xcmplx_0(D, 1)))) )  =>  (v2_comseq_2(B) & k1_seq_2(B)=C) ) ) ) ) ) ) ) ).
fof(t7_fcont_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ~ ( (r1_fcont_1(C, A) &  ( ~ (k1_funct_1(C, A)=B)  &  ( (? [D] :  (m1_rcomp_1(D, A) & r1_tarski(D, k1_relset_1(k1_numbers, C))) )  &  (! [D] :  (m1_rcomp_1(D, A) =>  ~ ( (r1_tarski(D, k1_relset_1(k1_numbers, C)) &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, D) & k1_funct_1(C, E)=B) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_fcont_3, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, A)) | v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, A)))  => v2_funct_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) ).
fof(t9_fcont_3, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v2_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, A)) => v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, k2_partfun1(k1_numbers, k1_numbers, B, A)), k7_relset_1(k1_numbers, k1_numbers, B, A)))) ) ) ) ).
fof(t10_fcont_3, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v2_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, A)) => v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, k2_partfun1(k1_numbers, k1_numbers, B, A)), k7_relset_1(k1_numbers, k1_numbers, B, A)))) ) ) ) ).
fof(t11_fcont_3, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, B)) & v1_rfunct_2(k2_partfun1(k1_numbers, k1_numbers, B, A)))  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ (k7_relset_1(k1_numbers, k1_numbers, B, A)=k10_prob_1(C)) ) )  | v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) ) ).
fof(t12_fcont_3, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, B)) & v1_rfunct_2(k2_partfun1(k1_numbers, k1_numbers, B, A)))  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ (k7_relset_1(k1_numbers, k1_numbers, B, A)=k3_limfunc1(C)) ) )  | v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) ) ).
fof(t13_fcont_3, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, B)) & v1_rfunct_2(k2_partfun1(k1_numbers, k1_numbers, B, A)))  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ (k7_relset_1(k1_numbers, k1_numbers, B, A)=k1_limfunc1(C)) ) )  | v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) ) ).
fof(t14_fcont_3, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, B)) & v1_rfunct_2(k2_partfun1(k1_numbers, k1_numbers, B, A)))  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ (k7_relset_1(k1_numbers, k1_numbers, B, A)=k2_limfunc1(C)) ) )  | v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) ) ).
fof(t15_fcont_3, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, B)) & v1_rfunct_2(k2_partfun1(k1_numbers, k1_numbers, B, A)))  =>  ( (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ (k7_relset_1(k1_numbers, k1_numbers, B, A)=k2_rcomp_1(C, D)) ) ) ) )  | v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) ) ).
fof(t16_fcont_3, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, B)) &  (v1_rfunct_2(k2_partfun1(k1_numbers, k1_numbers, B, A)) & k7_relset_1(k1_numbers, k1_numbers, B, A)=k1_numbers) )  => v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) ).
fof(t17_fcont_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v2_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (r1_tarski(k2_rcomp_1(B, A), k1_relset_1(k1_numbers, C)) =>  ( ( ~ (v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, k2_rcomp_1(B, A))))  &  ~ (v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, k2_rcomp_1(B, A)))) )  | v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, k2_partfun1(k1_numbers, k1_numbers, C, k2_rcomp_1(B, A))), k7_relset_1(k1_numbers, k1_numbers, C, k2_rcomp_1(B, A))))) ) ) ) ) ) ) ) ).
fof(t18_fcont_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v2_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (r1_tarski(k10_prob_1(A), k1_relset_1(k1_numbers, B)) =>  ( ( ~ (v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k10_prob_1(A))))  &  ~ (v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k10_prob_1(A)))) )  | v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, k2_partfun1(k1_numbers, k1_numbers, B, k10_prob_1(A))), k7_relset_1(k1_numbers, k1_numbers, B, k10_prob_1(A))))) ) ) ) ) ) ).
fof(t19_fcont_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v2_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (r1_tarski(k3_limfunc1(A), k1_relset_1(k1_numbers, B)) =>  ( ( ~ (v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k3_limfunc1(A))))  &  ~ (v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k3_limfunc1(A)))) )  | v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, k2_partfun1(k1_numbers, k1_numbers, B, k3_limfunc1(A))), k7_relset_1(k1_numbers, k1_numbers, B, k3_limfunc1(A))))) ) ) ) ) ) ).
fof(t20_fcont_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v2_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (r1_tarski(k1_limfunc1(A), k1_relset_1(k1_numbers, B)) =>  ( ( ~ (v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k1_limfunc1(A))))  &  ~ (v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k1_limfunc1(A)))) )  | v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, k2_partfun1(k1_numbers, k1_numbers, B, k1_limfunc1(A))), k7_relset_1(k1_numbers, k1_numbers, B, k1_limfunc1(A))))) ) ) ) ) ) ).
fof(t21_fcont_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v2_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (r1_tarski(k2_limfunc1(A), k1_relset_1(k1_numbers, B)) =>  ( ( ~ (v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k2_limfunc1(A))))  &  ~ (v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k2_limfunc1(A)))) )  | v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, k2_partfun1(k1_numbers, k1_numbers, B, k2_limfunc1(A))), k7_relset_1(k1_numbers, k1_numbers, B, k2_limfunc1(A))))) ) ) ) ) ) ).
fof(t22_fcont_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v2_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (v1_partfun1(A, k1_numbers) =>  ( ( ~ (v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, A, k2_subset_1(k1_numbers))))  &  ~ (v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, A, k2_subset_1(k1_numbers)))) )  | v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, A), k2_relset_1(k1_numbers, A)))) ) ) ) ).
fof(t23_fcont_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(k2_rcomp_1(B, A), k1_relset_1(k1_numbers, C)) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, k2_rcomp_1(B, A))))  =>  ( ( ~ (v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, k2_rcomp_1(B, A))))  &  ~ (v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, k2_rcomp_1(B, A)))) )  | v3_rcomp_1(k2_relset_1(k1_numbers, k2_partfun1(k1_numbers, k1_numbers, C, k2_rcomp_1(B, A))))) ) ) ) ) ) ) ) ).
fof(t24_fcont_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(k10_prob_1(A), k1_relset_1(k1_numbers, B)) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, k10_prob_1(A))))  =>  ( ( ~ (v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k10_prob_1(A))))  &  ~ (v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k10_prob_1(A)))) )  | v3_rcomp_1(k2_relset_1(k1_numbers, k2_partfun1(k1_numbers, k1_numbers, B, k10_prob_1(A))))) ) ) ) ) ) ).
fof(t25_fcont_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(k3_limfunc1(A), k1_relset_1(k1_numbers, B)) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, k3_limfunc1(A))))  =>  ( ( ~ (v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k3_limfunc1(A))))  &  ~ (v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k3_limfunc1(A)))) )  | v3_rcomp_1(k2_relset_1(k1_numbers, k2_partfun1(k1_numbers, k1_numbers, B, k3_limfunc1(A))))) ) ) ) ) ) ).
fof(t26_fcont_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(k2_subset_1(k1_numbers), k1_relset_1(k1_numbers, A)) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, A, k2_subset_1(k1_numbers))))  =>  ( ( ~ (v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, A, k2_subset_1(k1_numbers))))  &  ~ (v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, A, k2_subset_1(k1_numbers)))) )  | v3_rcomp_1(k2_relset_1(k1_numbers, A))) ) ) ) ).
fof(rc1_fdiff_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k1_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_partfun1(A, k4_ordinal1) &  (v9_ordinal1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) & v1_fdiff_1(A, k5_numbers)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_fdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(A, k5_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (v8_ordinal1(k1_seq_2(A)) & v1_xreal_0(k1_seq_2(A))) ) ) ).
fof(cc1_fdiff_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers))) =>  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & v1_fdiff_1(A, k5_numbers)) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & v2_comseq_2(A)) ) ) ) ) ).
fof(rc2_fdiff_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))) &  (v1_relat_1(A) &  (v4_relat_1(A, k1_numbers) &  (v5_relat_1(A, k1_numbers) &  (v1_funct_1(A) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) & v2_fdiff_1(A)) ) ) ) ) ) ) ) ) ).
fof(rc3_fdiff_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))) &  (v1_relat_1(A) &  (v4_relat_1(A, k1_numbers) &  (v5_relat_1(A, k1_numbers) &  (v1_funct_1(A) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) & v3_fdiff_1(A)) ) ) ) ) ) ) ) ) ).
fof(fc2_fdiff_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v9_ordinal1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  & v7_ordinal1(B))  =>  (v1_funct_1(k6_nat_1(A, B)) &  (v9_ordinal1(k6_nat_1(A, B)) & v1_funct_2(k6_nat_1(A, B), k4_ordinal1, k1_numbers)) ) ) ) ).
fof(fc3_fdiff_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v9_ordinal1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(A, k5_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  & v7_ordinal1(B))  =>  (v1_funct_1(k6_nat_1(A, B)) &  (v9_ordinal1(k6_nat_1(A, B)) &  (v1_funct_2(k6_nat_1(A, B), k4_ordinal1, k1_numbers) & v1_fdiff_1(k6_nat_1(A, B), k5_numbers)) ) ) ) ) ).
fof(rc4_fdiff_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))) &  (v1_relat_1(A) &  (v4_relat_1(A, k1_numbers) &  (v5_relat_1(A, k1_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_partfun1(A, k1_numbers) &  (v1_funct_2(A, k1_numbers, k1_numbers) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) & v4_fdiff_1(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_fdiff_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  ( (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) <=> r2_hidden(B, k1_numbers)) ) )  <=> A=k1_numbers) ) ) ).
fof(d1_fdiff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_fdiff_1(B, A) <=>  (v2_comseq_2(B) & k1_seq_2(B)=A) ) ) ) ) ) ).
fof(d2_fdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v2_fdiff_1(A) <=>  (v1_partfun1(A, k1_numbers) &  (! [B] :  ( (v1_funct_1(B) &  (v9_ordinal1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(B, k5_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (v2_comseq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, B), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, B, A))) & k1_seq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, B), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, B, A)))=k5_numbers) ) ) ) ) ) ) ).
fof(d3_fdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v3_fdiff_1(A) <=>  (v1_partfun1(A, k1_numbers) &  (? [B] :  (v1_xreal_0(B) &  (! [C] :  (v1_xreal_0(C) => k1_funct_1(A, C)=k3_xcmplx_0(B, C)) ) ) ) ) ) ) ) ).
fof(t2_fdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v3_fdiff_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v3_fdiff_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (v1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)) &  (v3_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)) & m1_subset_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (v1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)) &  (v3_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)) & m1_subset_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ) ) ) ) ) ).
fof(t3_fdiff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v3_fdiff_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (v1_funct_1(k26_valued_1(k1_numbers, k1_numbers, B, A)) &  (v3_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, B, A)) & m1_subset_1(k26_valued_1(k1_numbers, k1_numbers, B, A), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ) ) ) ) ).
fof(t4_fdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v2_fdiff_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v2_fdiff_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (v1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)) &  (v2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)) & m1_subset_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  ( (v1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)) &  (v2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)) & m1_subset_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (v1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)) &  (v2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)) & m1_subset_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ) ) ) ) ) ) ).
fof(t5_fdiff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v2_fdiff_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (v1_funct_1(k26_valued_1(k1_numbers, k1_numbers, B, A)) &  (v2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, B, A)) & m1_subset_1(k26_valued_1(k1_numbers, k1_numbers, B, A), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ) ) ) ) ).
fof(t6_fdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v3_fdiff_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v3_fdiff_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => v2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B))) ) ) ) ).
fof(t7_fdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v2_fdiff_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v3_fdiff_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (v1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)) &  (v2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)) & m1_subset_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (v1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, A)) &  (v2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, A)) & m1_subset_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, A), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ) ) ) ) ) ).
fof(d4_fdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (r1_fdiff_1(A, B) <=>  (? [C] :  (m1_rcomp_1(C, B) &  (r1_tarski(C, k1_relset_1(k1_numbers, A)) &  (? [D] :  ( (v1_funct_1(D) &  (v3_fdiff_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [E] :  ( (v1_funct_1(E) &  (v2_fdiff_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, C) => k6_xcmplx_0(k1_funct_1(A, F), k1_funct_1(A, B))=k2_xcmplx_0(k1_funct_1(D, k6_xcmplx_0(F, B)), k1_funct_1(E, k6_xcmplx_0(F, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_fdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (r1_fdiff_1(A, B) =>  (! [C] :  (v1_xreal_0(C) =>  (C=k1_fdiff_1(A, B) <=>  (? [D] :  (m1_rcomp_1(D, B) &  (r1_tarski(D, k1_relset_1(k1_numbers, A)) &  (? [E] :  ( (v1_funct_1(E) &  (v3_fdiff_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [F] :  ( (v1_funct_1(F) &  (v2_fdiff_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (C=k1_funct_1(E, 1) &  (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, D) => k6_xcmplx_0(k1_funct_1(A, G), k1_funct_1(A, B))=k2_xcmplx_0(k1_funct_1(E, k6_xcmplx_0(G, B)), k1_funct_1(F, k6_xcmplx_0(G, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_fdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (r2_fdiff_1(A, B) <=>  (r1_tarski(B, k1_relset_1(k1_numbers, A)) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, B) => r1_fdiff_1(k2_partfun1(k1_numbers, k1_numbers, A, B), C)) ) ) ) ) ) ) ) ).
fof(t8_fdiff_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r2_fdiff_1(B, A) => m1_subset_1(A, k1_zfmisc_1(k1_numbers))) ) ) ) ).
fof(t9_fdiff_1, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r2_fdiff_1(B, A) <=>  (r1_tarski(A, k1_relset_1(k1_numbers, B)) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => r1_fdiff_1(B, C)) ) ) ) ) ) ) ) ) ).
fof(t10_fdiff_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r2_fdiff_1(B, A) => v3_rcomp_1(A)) ) ) ) ) ).
fof(d7_fdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (r2_fdiff_1(A, B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (C=k2_fdiff_1(A, B) <=>  (k1_relset_1(k1_numbers, C)=B &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(C, D)=k1_fdiff_1(A, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_fdiff_1, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, B)) =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ (k2_relset_1(k1_numbers, B)=k1_tarski(C)) ) )  |  (r2_fdiff_1(B, A) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(k2_fdiff_1(B, A), C)=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t12_fdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_rcomp_1(C, B) =>  ( (r1_fdiff_1(A, B) & r1_tarski(C, k1_relset_1(k1_numbers, A)))  =>  (! [D] :  ( (v1_funct_1(D) &  (v9_ordinal1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(D, k5_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v3_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (k2_relset_1(k1_numbers, E)=k1_tarski(B) & r1_tarski(k2_relset_1(k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E)), C))  =>  (v2_comseq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), A), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, A)))) & k1_fdiff_1(A, B)=k1_seq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), A), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, A))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_fdiff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_fdiff_1(B, A) & r1_fdiff_1(C, A))  =>  (r1_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A) & k1_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A)=k2_xcmplx_0(k1_fdiff_1(B, A), k1_fdiff_1(C, A))) ) ) ) ) ) ) ) ).
fof(t14_fdiff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_fdiff_1(B, A) & r1_fdiff_1(C, A))  =>  (r1_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A) & k1_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A)=k6_xcmplx_0(k1_fdiff_1(B, A), k1_fdiff_1(C, A))) ) ) ) ) ) ) ) ).
fof(t15_fdiff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_fdiff_1(C, A) =>  (r1_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, C, B), A) & k1_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, C, B), A)=k3_xcmplx_0(B, k1_fdiff_1(C, A))) ) ) ) ) ) ) ) ).
fof(t16_fdiff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_fdiff_1(B, A) & r1_fdiff_1(C, A))  =>  (r1_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A) & k1_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A)=k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(C, A), k1_fdiff_1(B, A)), k3_xcmplx_0(k1_funct_1(B, A), k1_fdiff_1(C, A)))) ) ) ) ) ) ) ) ).
fof(t17_fdiff_1, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, B)) & r2_relset_1(k1_numbers, k1_numbers, k2_partfun1(k1_numbers, k1_numbers, B, A), k1_partfun2(k1_numbers, A)))  =>  (r2_fdiff_1(B, A) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(k2_fdiff_1(B, A), C)=1) ) ) ) ) ) ) ) ) ).
fof(t18_fdiff_1, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C))) &  (r2_fdiff_1(B, A) & r2_fdiff_1(C, A)) )  =>  (r2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, A) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A), D)=k2_xcmplx_0(k1_fdiff_1(B, D), k1_fdiff_1(C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_fdiff_1, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C))) &  (r2_fdiff_1(B, A) & r2_fdiff_1(C, A)) )  =>  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A), D)=k6_xcmplx_0(k1_fdiff_1(B, D), k1_fdiff_1(C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_fdiff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, k26_valued_1(k1_numbers, k1_numbers, C, A))) & r2_fdiff_1(C, B))  =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, C, A), B) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, C, A), B), D)=k3_xcmplx_0(A, k1_fdiff_1(C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_fdiff_1, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C))) &  (r2_fdiff_1(B, A) & r2_fdiff_1(C, A)) )  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A), D)=k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(C, D), k1_fdiff_1(B, D)), k3_xcmplx_0(k1_funct_1(B, D), k1_fdiff_1(C, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_fdiff_1, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, B)) & v3_funct_1(k2_partfun1(k1_numbers, k1_numbers, B, A)))  =>  (r2_fdiff_1(B, A) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(k2_fdiff_1(B, A), C)=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(t23_fdiff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(C, k1_relset_1(k1_numbers, D)) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) => k1_funct_1(D, E)=k2_xcmplx_0(k3_xcmplx_0(A, E), B)) ) ) )  =>  (r2_fdiff_1(D, C) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) => k1_funct_1(k2_fdiff_1(D, C), E)=A) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_fdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (r1_fdiff_1(A, B) => r1_fcont_1(A, B)) ) ) ) ) ).
fof(t25_fdiff_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r2_fdiff_1(B, A) => v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) ).
fof(t26_fdiff_1, axiom,  (! [A] :  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_fdiff_1(C, A) & r1_tarski(B, A))  => r2_fdiff_1(C, B)) ) ) ) ) ) ).
fof(t27_fdiff_1, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v2_fdiff_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (k1_funct_1(A, k5_numbers)=k5_numbers & r1_fcont_1(A, k5_numbers)) ) ) ).
fof(d8_fdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v4_fdiff_1(A) <=> r2_fdiff_1(A, k1_relset_1(k1_numbers, A))) ) ) ).
fof(t28_fdiff_1, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) &  (v4_fdiff_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (r1_tarski(A, k1_relset_1(k1_numbers, B)) => r2_fdiff_1(B, A)) ) ) ) ) ).
fof(dt_k1_fdiff_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  & v1_xreal_0(B))  => v1_xreal_0(k1_fdiff_1(A, B))) ) ).
fof(dt_k2_fdiff_1, axiom,  (! [A, B] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v1_funct_1(k2_fdiff_1(A, B)) & m1_subset_1(k2_fdiff_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ) ).
fof(t1_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k26_sin_cos))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k26_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k26_sin_cos), A), B)=k3_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k18_sin_cos, k1_funct_1(k27_sin_cos, B)))), k4_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k16_sin_cos, B)))))) ) ) ) ) ) ) ).
fof(t2_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k26_sin_cos))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k26_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k26_sin_cos), A), B)=k3_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k18_sin_cos, k1_funct_1(k26_sin_cos, B)))), k7_xcmplx_0(1, k1_square_1(k1_funct_1(k18_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t3_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k27_sin_cos))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k27_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k27_sin_cos), A), B)=k3_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k16_sin_cos, k1_funct_1(k27_sin_cos, B)))), k7_xcmplx_0(1, k1_square_1(k1_funct_1(k16_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t4_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos), A), B)=k3_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k16_sin_cos, k1_funct_1(k26_sin_cos, B))))), k7_xcmplx_0(1, k1_square_1(k1_funct_1(k18_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t5_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos))) =>  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos), A), B)=k2_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k18_sin_cos, B))), k7_xcmplx_0(1, k1_square_1(k1_funct_1(k16_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t6_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos))) =>  (r2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos), A), B)=k6_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k18_sin_cos, B))), k7_xcmplx_0(1, k1_square_1(k1_funct_1(k16_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t7_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k16_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k16_sin_cos), A), B)=k3_xcmplx_0(k1_funct_1(k18_sin_cos, k1_funct_1(k16_sin_cos, B)), k1_funct_1(k18_sin_cos, B))) ) ) ) ) ) ).
fof(t8_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k16_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k16_sin_cos), A), B)=k4_xcmplx_0(k3_xcmplx_0(k1_funct_1(k18_sin_cos, k1_funct_1(k18_sin_cos, B)), k1_funct_1(k16_sin_cos, B)))) ) ) ) ) ) ).
fof(t9_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), A), B)=k4_xcmplx_0(k3_xcmplx_0(k1_funct_1(k16_sin_cos, k1_funct_1(k16_sin_cos, B)), k1_funct_1(k18_sin_cos, B)))) ) ) ) ) ) ).
fof(t10_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k18_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k18_sin_cos), A), B)=k3_xcmplx_0(k1_funct_1(k16_sin_cos, k1_funct_1(k18_sin_cos, B)), k1_funct_1(k16_sin_cos, B))) ) ) ) ) ) ).
fof(t11_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k27_sin_cos))) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k27_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k27_sin_cos), A), B)=k6_xcmplx_0(k4_xcmplx_0(k1_funct_1(k18_sin_cos, B)), k7_xcmplx_0(k1_funct_1(k18_sin_cos, B), k1_square_1(k1_funct_1(k16_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t12_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k26_sin_cos))) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k26_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k26_sin_cos), A), B)=k2_xcmplx_0(k1_funct_1(k16_sin_cos, B), k7_xcmplx_0(k1_funct_1(k16_sin_cos, B), k1_square_1(k1_funct_1(k18_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t13_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k27_sin_cos))) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k27_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k27_sin_cos), A), B)=k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(k18_sin_cos, B), k1_funct_1(k27_sin_cos, B)), k7_xcmplx_0(1, k1_funct_1(k16_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t14_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k26_sin_cos))) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k26_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k26_sin_cos), A), B)=k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k1_square_1(k1_funct_1(k16_sin_cos, B)), k1_funct_1(k18_sin_cos, B))), k7_xcmplx_0(1, k1_funct_1(k18_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t15_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos))) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), A), B)=k6_xcmplx_0(k1_square_1(k1_funct_1(k18_sin_cos, B)), k1_square_1(k1_funct_1(k16_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t16_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k16_sin_cos))) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k16_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k16_sin_cos), A), B)=k2_xcmplx_0(k7_xcmplx_0(k1_funct_1(k16_sin_cos, B), B), k3_xcmplx_0(k1_funct_1(k3_taylor_1, B), k1_funct_1(k18_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t17_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k18_sin_cos))) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k18_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k18_sin_cos), A), B)=k6_xcmplx_0(k7_xcmplx_0(k1_funct_1(k18_sin_cos, B), B), k3_xcmplx_0(k1_funct_1(k3_taylor_1, B), k1_funct_1(k16_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t18_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k22_sin_cos))) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k22_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k22_sin_cos), A), B)=k2_xcmplx_0(k7_xcmplx_0(k1_funct_1(k22_sin_cos, B), B), k3_xcmplx_0(k1_funct_1(k3_taylor_1, B), k1_funct_1(k22_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t19_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k3_taylor_1))) &  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r2_hidden(B, A) & r1_xxreal_0(B, k5_numbers)) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k3_taylor_1), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k3_taylor_1), A), B)=k7_xcmplx_0(1, k3_xcmplx_0(k1_funct_1(k3_taylor_1, B), B))) ) ) ) ) ) ) ).
fof(t20_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k22_sin_cos))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k22_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k22_sin_cos), A), B)=k3_xcmplx_0(k1_funct_1(k22_sin_cos, k1_funct_1(k22_sin_cos, B)), k1_funct_1(k22_sin_cos, B))) ) ) ) ) ) ) ).
fof(t21_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k16_sin_cos))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k16_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k16_sin_cos), A), B)=k7_xcmplx_0(k19_sin_cos(k1_funct_1(k26_sin_cos, B)), k1_square_1(k1_funct_1(k18_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t22_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k16_sin_cos))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k16_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k16_sin_cos), A), B)=k4_xcmplx_0(k7_xcmplx_0(k19_sin_cos(k1_funct_1(k27_sin_cos, B)), k1_square_1(k1_funct_1(k16_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t23_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k18_sin_cos))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k18_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k18_sin_cos), A), B)=k4_xcmplx_0(k7_xcmplx_0(k17_sin_cos(k1_funct_1(k26_sin_cos, B)), k1_square_1(k1_funct_1(k18_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t24_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k18_sin_cos))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k18_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k18_sin_cos), A), B)=k7_xcmplx_0(k17_sin_cos(k1_funct_1(k27_sin_cos, B)), k1_square_1(k1_funct_1(k16_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t25_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos)))) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos)), A), B)=k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(k18_sin_cos, B), k2_xcmplx_0(k1_funct_1(k26_sin_cos, B), k1_funct_1(k27_sin_cos, B))), k3_xcmplx_0(k1_funct_1(k16_sin_cos, B), k6_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k18_sin_cos, B))), k7_xcmplx_0(1, k1_square_1(k1_funct_1(k16_sin_cos, B))))))) ) ) ) ) ) ) ).
fof(t26_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos)))) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos)), A), B)=k2_xcmplx_0(k4_xcmplx_0(k3_xcmplx_0(k1_funct_1(k16_sin_cos, B), k2_xcmplx_0(k1_funct_1(k26_sin_cos, B), k1_funct_1(k27_sin_cos, B)))), k3_xcmplx_0(k1_funct_1(k18_sin_cos, B), k6_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k18_sin_cos, B))), k7_xcmplx_0(1, k1_square_1(k1_funct_1(k16_sin_cos, B))))))) ) ) ) ) ) ) ).
fof(t27_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos)))) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos)), A), B)=k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(k18_sin_cos, B), k6_xcmplx_0(k1_funct_1(k26_sin_cos, B), k1_funct_1(k27_sin_cos, B))), k3_xcmplx_0(k1_funct_1(k16_sin_cos, B), k2_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k18_sin_cos, B))), k7_xcmplx_0(1, k1_square_1(k1_funct_1(k16_sin_cos, B))))))) ) ) ) ) ) ) ).
fof(t28_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos)))) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos)), A), B)=k2_xcmplx_0(k4_xcmplx_0(k3_xcmplx_0(k1_funct_1(k16_sin_cos, B), k6_xcmplx_0(k1_funct_1(k26_sin_cos, B), k1_funct_1(k27_sin_cos, B)))), k3_xcmplx_0(k1_funct_1(k18_sin_cos, B), k2_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k18_sin_cos, B))), k7_xcmplx_0(1, k1_square_1(k1_funct_1(k16_sin_cos, B))))))) ) ) ) ) ) ) ).
fof(t29_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos)))) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos)), A), B)=k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(k22_sin_cos, B), k2_xcmplx_0(k1_funct_1(k26_sin_cos, B), k1_funct_1(k27_sin_cos, B))), k3_xcmplx_0(k1_funct_1(k22_sin_cos, B), k6_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k18_sin_cos, B))), k7_xcmplx_0(1, k1_square_1(k1_funct_1(k16_sin_cos, B))))))) ) ) ) ) ) ) ).
fof(t30_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos)))) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos)), A), B)=k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(k22_sin_cos, B), k6_xcmplx_0(k1_funct_1(k26_sin_cos, B), k1_funct_1(k27_sin_cos, B))), k3_xcmplx_0(k1_funct_1(k22_sin_cos, B), k2_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k18_sin_cos, B))), k7_xcmplx_0(1, k1_square_1(k1_funct_1(k16_sin_cos, B))))))) ) ) ) ) ) ) ).
fof(t31_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos)))) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos)), A), B)=k6_xcmplx_0(k2_xcmplx_0(k1_square_1(k1_funct_1(k18_sin_cos, B)), k3_xcmplx_0(k3_xcmplx_0(2, k1_funct_1(k16_sin_cos, B)), k1_funct_1(k18_sin_cos, B))), k1_square_1(k1_funct_1(k16_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t32_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos)))) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos)), A), B)=k6_xcmplx_0(k2_xcmplx_0(k1_square_1(k1_funct_1(k16_sin_cos, B)), k3_xcmplx_0(k3_xcmplx_0(2, k1_funct_1(k16_sin_cos, B)), k1_funct_1(k18_sin_cos, B))), k1_square_1(k1_funct_1(k18_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t33_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos)))) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos)), A), B)=k6_xcmplx_0(k2_xcmplx_0(k1_square_1(k1_funct_1(k18_sin_cos, B)), k3_xcmplx_0(k3_xcmplx_0(2, k1_funct_1(k16_sin_cos, B)), k1_funct_1(k18_sin_cos, B))), k1_square_1(k1_funct_1(k16_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t34_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos)))) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos)), A), B)=k6_xcmplx_0(k6_xcmplx_0(k1_square_1(k1_funct_1(k18_sin_cos, B)), k3_xcmplx_0(k3_xcmplx_0(2, k1_funct_1(k16_sin_cos, B)), k1_funct_1(k18_sin_cos, B))), k1_square_1(k1_funct_1(k16_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t35_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos), k16_sin_cos))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos), k16_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos), k16_sin_cos), A), B)=k3_xcmplx_0(k1_funct_1(k18_sin_cos, k2_xcmplx_0(k1_funct_1(k26_sin_cos, B), k1_funct_1(k27_sin_cos, B))), k6_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k18_sin_cos, B))), k7_xcmplx_0(1, k1_square_1(k1_funct_1(k16_sin_cos, B)))))) ) ) ) ) ) ) ).
fof(t36_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos), k16_sin_cos))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos), k16_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos), k16_sin_cos), A), B)=k3_xcmplx_0(k1_funct_1(k18_sin_cos, k6_xcmplx_0(k1_funct_1(k26_sin_cos, B), k1_funct_1(k27_sin_cos, B))), k2_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k18_sin_cos, B))), k7_xcmplx_0(1, k1_square_1(k1_funct_1(k16_sin_cos, B)))))) ) ) ) ) ) ) ).
fof(t37_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos), k18_sin_cos))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos), k18_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos), k18_sin_cos), A), B)=k4_xcmplx_0(k3_xcmplx_0(k1_funct_1(k16_sin_cos, k6_xcmplx_0(k1_funct_1(k26_sin_cos, B), k1_funct_1(k27_sin_cos, B))), k2_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k18_sin_cos, B))), k7_xcmplx_0(1, k1_square_1(k1_funct_1(k16_sin_cos, B))))))) ) ) ) ) ) ) ).
fof(t38_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos), k18_sin_cos))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos), k18_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos), k18_sin_cos), A), B)=k4_xcmplx_0(k3_xcmplx_0(k1_funct_1(k16_sin_cos, k2_xcmplx_0(k1_funct_1(k26_sin_cos, B), k1_funct_1(k27_sin_cos, B))), k6_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k18_sin_cos, B))), k7_xcmplx_0(1, k1_square_1(k1_funct_1(k16_sin_cos, B))))))) ) ) ) ) ) ) ).
fof(t39_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos), k22_sin_cos))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos), k22_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos), k22_sin_cos), A), B)=k3_xcmplx_0(k1_funct_1(k22_sin_cos, k2_xcmplx_0(k1_funct_1(k26_sin_cos, B), k1_funct_1(k27_sin_cos, B))), k6_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k18_sin_cos, B))), k7_xcmplx_0(1, k1_square_1(k1_funct_1(k16_sin_cos, B)))))) ) ) ) ) ) ) ).
fof(t40_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos), k22_sin_cos))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos), k22_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos), k22_sin_cos), A), B)=k3_xcmplx_0(k1_funct_1(k22_sin_cos, k6_xcmplx_0(k1_funct_1(k26_sin_cos, B), k1_funct_1(k27_sin_cos, B))), k2_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k18_sin_cos, B))), k7_xcmplx_0(1, k1_square_1(k1_funct_1(k16_sin_cos, B)))))) ) ) ) ) ) ) ).
fof(t41_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos), k22_sin_cos))) =>  (r2_fdiff_1(k3_rfunct_1(k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos), k22_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k3_rfunct_1(k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos), k22_sin_cos), A), B)=k7_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k18_sin_cos, B))), k7_xcmplx_0(1, k1_square_1(k1_funct_1(k16_sin_cos, B)))), k1_funct_1(k26_sin_cos, B)), k1_funct_1(k27_sin_cos, B)), k1_funct_1(k22_sin_cos, B))) ) ) ) ) ) ) ).
fof(t42_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos), k22_sin_cos))) =>  (r2_fdiff_1(k3_rfunct_1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos), k22_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k3_rfunct_1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos), k22_sin_cos), A), B)=k7_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k18_sin_cos, B))), k7_xcmplx_0(1, k1_square_1(k1_funct_1(k16_sin_cos, B)))), k1_funct_1(k26_sin_cos, B)), k1_funct_1(k27_sin_cos, B)), k1_funct_1(k22_sin_cos, B))) ) ) ) ) ) ) ).
fof(t43_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k16_sin_cos))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k16_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k16_sin_cos), A), B)=k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k18_sin_cos, k1_funct_1(k1_fdiff_9, B)), k1_funct_1(k16_sin_cos, B)), k1_square_1(k1_funct_1(k18_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t44_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k18_sin_cos))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k18_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k18_sin_cos), A), B)=k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k16_sin_cos, k1_funct_1(k1_fdiff_9, B)), k1_funct_1(k16_sin_cos, B)), k1_square_1(k1_funct_1(k18_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t45_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k16_sin_cos))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k16_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k16_sin_cos), A), B)=k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k18_sin_cos, k1_funct_1(k2_fdiff_9, B)), k1_funct_1(k18_sin_cos, B)), k1_square_1(k1_funct_1(k16_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t46_fdiff_10, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k18_sin_cos))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k18_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k18_sin_cos), A), B)=k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k16_sin_cos, k1_funct_1(k2_fdiff_9, B)), k1_funct_1(k18_sin_cos, B)), k1_square_1(k1_funct_1(k16_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t1_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_sin_cos9))) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) =>  ( ~ (r1_xxreal_0(k1_funct_1(k16_sin_cos, B), k4_xcmplx_0(1)))  &  ~ (r1_xxreal_0(1, k1_funct_1(k16_sin_cos, B))) ) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_sin_cos9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_sin_cos9), A), B)=k7_xcmplx_0(k1_funct_1(k18_sin_cos, B), k2_xcmplx_0(1, k1_square_1(k1_funct_1(k16_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t2_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k2_sin_cos9))) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) =>  ( ~ (r1_xxreal_0(k1_funct_1(k16_sin_cos, B), k4_xcmplx_0(1)))  &  ~ (r1_xxreal_0(1, k1_funct_1(k16_sin_cos, B))) ) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k2_sin_cos9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k2_sin_cos9), A), B)=k4_xcmplx_0(k7_xcmplx_0(k1_funct_1(k18_sin_cos, B), k2_xcmplx_0(1, k1_square_1(k1_funct_1(k16_sin_cos, B)))))) ) ) ) ) ) ) ).
fof(t3_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k1_sin_cos9))) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) =>  ( ~ (r1_xxreal_0(k1_funct_1(k18_sin_cos, B), k4_xcmplx_0(1)))  &  ~ (r1_xxreal_0(1, k1_funct_1(k18_sin_cos, B))) ) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k1_sin_cos9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k1_sin_cos9), A), B)=k4_xcmplx_0(k7_xcmplx_0(k1_funct_1(k16_sin_cos, B), k2_xcmplx_0(1, k1_square_1(k1_funct_1(k18_sin_cos, B)))))) ) ) ) ) ) ) ).
fof(t4_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k2_sin_cos9))) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) =>  ( ~ (r1_xxreal_0(k1_funct_1(k18_sin_cos, B), k4_xcmplx_0(1)))  &  ~ (r1_xxreal_0(1, k1_funct_1(k18_sin_cos, B))) ) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k2_sin_cos9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k2_sin_cos9), A), B)=k7_xcmplx_0(k1_funct_1(k16_sin_cos, B), k2_xcmplx_0(1, k1_square_1(k1_funct_1(k18_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t5_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_sin_cos9))) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) =>  ( ~ (r1_xxreal_0(k1_funct_1(k26_sin_cos, B), k4_xcmplx_0(1)))  &  ~ (r1_xxreal_0(1, k1_funct_1(k26_sin_cos, B))) ) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_sin_cos9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_sin_cos9), A), B)=1) ) ) ) ) ) ) ).
fof(t6_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k2_sin_cos9))) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) =>  ( ~ (r1_xxreal_0(k1_funct_1(k26_sin_cos, B), k4_xcmplx_0(1)))  &  ~ (r1_xxreal_0(1, k1_funct_1(k26_sin_cos, B))) ) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k2_sin_cos9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k2_sin_cos9), A), B)=k4_xcmplx_0(1)) ) ) ) ) ) ) ).
fof(t7_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k1_sin_cos9))) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) =>  ( ~ (r1_xxreal_0(k1_funct_1(k27_sin_cos, B), k4_xcmplx_0(1)))  &  ~ (r1_xxreal_0(1, k1_funct_1(k27_sin_cos, B))) ) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k1_sin_cos9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k1_sin_cos9), A), B)=k4_xcmplx_0(1)) ) ) ) ) ) ) ).
fof(t8_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k2_sin_cos9))) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) =>  ( ~ (r1_xxreal_0(k1_funct_1(k27_sin_cos, B), k4_xcmplx_0(1)))  &  ~ (r1_xxreal_0(1, k1_funct_1(k27_sin_cos, B))) ) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k2_sin_cos9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k2_sin_cos9), A), B)=1) ) ) ) ) ) ) ).
fof(t9_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k1_sin_cos9))) &  (r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) =>  ( ~ (r1_xxreal_0(k1_funct_1(k1_sin_cos9, B), k4_xcmplx_0(1)))  &  ~ (r1_xxreal_0(1, k1_funct_1(k1_sin_cos9, B))) ) ) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k1_sin_cos9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k1_sin_cos9), A), B)=k7_xcmplx_0(1, k3_xcmplx_0(k2_xcmplx_0(1, k1_square_1(B)), k2_xcmplx_0(1, k1_square_1(k1_funct_1(k1_sin_cos9, B)))))) ) ) ) ) ) ) ).
fof(t10_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9))) &  (r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) =>  ( ~ (r1_xxreal_0(k1_funct_1(k1_sin_cos9, B), k4_xcmplx_0(1)))  &  ~ (r1_xxreal_0(1, k1_funct_1(k1_sin_cos9, B))) ) ) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9), A), B)=k4_xcmplx_0(k7_xcmplx_0(1, k3_xcmplx_0(k2_xcmplx_0(1, k1_square_1(B)), k2_xcmplx_0(1, k1_square_1(k1_funct_1(k1_sin_cos9, B))))))) ) ) ) ) ) ) ).
fof(t11_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k1_sin_cos9))) &  (r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) =>  ( ~ (r1_xxreal_0(k1_funct_1(k2_sin_cos9, B), k4_xcmplx_0(1)))  &  ~ (r1_xxreal_0(1, k1_funct_1(k2_sin_cos9, B))) ) ) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k1_sin_cos9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k1_sin_cos9), A), B)=k4_xcmplx_0(k7_xcmplx_0(1, k3_xcmplx_0(k2_xcmplx_0(1, k1_square_1(B)), k2_xcmplx_0(1, k1_square_1(k1_funct_1(k2_sin_cos9, B))))))) ) ) ) ) ) ) ).
fof(t12_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k2_sin_cos9))) &  (r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) =>  ( ~ (r1_xxreal_0(k1_funct_1(k2_sin_cos9, B), k4_xcmplx_0(1)))  &  ~ (r1_xxreal_0(1, k1_funct_1(k2_sin_cos9, B))) ) ) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k2_sin_cos9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k2_sin_cos9), A), B)=k7_xcmplx_0(1, k3_xcmplx_0(k2_xcmplx_0(1, k1_square_1(B)), k2_xcmplx_0(1, k1_square_1(k1_funct_1(k2_sin_cos9, B)))))) ) ) ) ) ) ) ).
fof(t13_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k16_sin_cos))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k16_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k16_sin_cos), A), B)=k7_xcmplx_0(k1_funct_1(k18_sin_cos, k1_funct_1(k1_sin_cos9, B)), k2_xcmplx_0(1, k1_square_1(B)))) ) ) ) ) ) ) ).
fof(t14_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k16_sin_cos))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k16_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k16_sin_cos), A), B)=k4_xcmplx_0(k7_xcmplx_0(k1_funct_1(k18_sin_cos, k1_funct_1(k2_sin_cos9, B)), k2_xcmplx_0(1, k1_square_1(B))))) ) ) ) ) ) ) ).
fof(t15_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k18_sin_cos))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k18_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k18_sin_cos), A), B)=k4_xcmplx_0(k7_xcmplx_0(k1_funct_1(k16_sin_cos, k1_funct_1(k1_sin_cos9, B)), k2_xcmplx_0(1, k1_square_1(B))))) ) ) ) ) ) ) ).
fof(t16_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k18_sin_cos))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k18_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k18_sin_cos), A), B)=k7_xcmplx_0(k1_funct_1(k16_sin_cos, k1_funct_1(k2_sin_cos9, B)), k2_xcmplx_0(1, k1_square_1(B)))) ) ) ) ) ) ) ).
fof(t17_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k26_sin_cos))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k26_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k26_sin_cos), A), B)=k7_xcmplx_0(1, k3_xcmplx_0(k1_square_1(k1_funct_1(k18_sin_cos, k1_funct_1(k1_sin_cos9, B))), k2_xcmplx_0(1, k1_square_1(B))))) ) ) ) ) ) ) ).
fof(t18_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k26_sin_cos))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k26_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k26_sin_cos), A), B)=k4_xcmplx_0(k7_xcmplx_0(1, k3_xcmplx_0(k1_square_1(k1_funct_1(k18_sin_cos, k1_funct_1(k2_sin_cos9, B))), k2_xcmplx_0(1, k1_square_1(B)))))) ) ) ) ) ) ) ).
fof(t19_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k27_sin_cos))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k27_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k27_sin_cos), A), B)=k4_xcmplx_0(k7_xcmplx_0(1, k3_xcmplx_0(k1_square_1(k1_funct_1(k16_sin_cos, k1_funct_1(k1_sin_cos9, B))), k2_xcmplx_0(1, k1_square_1(B)))))) ) ) ) ) ) ) ).
fof(t20_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k27_sin_cos))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k27_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k27_sin_cos), A), B)=k7_xcmplx_0(1, k3_xcmplx_0(k1_square_1(k1_funct_1(k16_sin_cos, k1_funct_1(k2_sin_cos9, B))), k2_xcmplx_0(1, k1_square_1(B))))) ) ) ) ) ) ) ).
fof(t21_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k1_fdiff_9))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k1_fdiff_9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k1_fdiff_9), A), B)=k7_xcmplx_0(k1_funct_1(k16_sin_cos, k1_funct_1(k1_sin_cos9, B)), k3_xcmplx_0(k1_square_1(k1_funct_1(k18_sin_cos, k1_funct_1(k1_sin_cos9, B))), k2_xcmplx_0(1, k1_square_1(B))))) ) ) ) ) ) ) ).
fof(t22_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k1_fdiff_9))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k1_fdiff_9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k1_fdiff_9), A), B)=k4_xcmplx_0(k7_xcmplx_0(k1_funct_1(k16_sin_cos, k1_funct_1(k2_sin_cos9, B)), k3_xcmplx_0(k1_square_1(k1_funct_1(k18_sin_cos, k1_funct_1(k2_sin_cos9, B))), k2_xcmplx_0(1, k1_square_1(B)))))) ) ) ) ) ) ) ).
fof(t23_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_fdiff_9))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_fdiff_9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_fdiff_9), A), B)=k4_xcmplx_0(k7_xcmplx_0(k1_funct_1(k18_sin_cos, k1_funct_1(k1_sin_cos9, B)), k3_xcmplx_0(k1_square_1(k1_funct_1(k16_sin_cos, k1_funct_1(k1_sin_cos9, B))), k2_xcmplx_0(1, k1_square_1(B)))))) ) ) ) ) ) ) ).
fof(t24_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k2_fdiff_9))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k2_fdiff_9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k2_fdiff_9), A), B)=k7_xcmplx_0(k1_funct_1(k18_sin_cos, k1_funct_1(k2_sin_cos9, B)), k3_xcmplx_0(k1_square_1(k1_funct_1(k16_sin_cos, k1_funct_1(k2_sin_cos9, B))), k2_xcmplx_0(1, k1_square_1(B))))) ) ) ) ) ) ) ).
fof(t25_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_sin_cos9))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_sin_cos9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_sin_cos9), A), B)=k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(k18_sin_cos, B), k1_funct_1(k1_sin_cos9, B)), k7_xcmplx_0(k1_funct_1(k16_sin_cos, B), k2_xcmplx_0(1, k1_square_1(B))))) ) ) ) ) ) ) ).
fof(t26_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k2_sin_cos9))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k2_sin_cos9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k2_sin_cos9), A), B)=k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(k18_sin_cos, B), k1_funct_1(k2_sin_cos9, B)), k7_xcmplx_0(k1_funct_1(k16_sin_cos, B), k2_xcmplx_0(1, k1_square_1(B))))) ) ) ) ) ) ) ).
fof(t27_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k1_sin_cos9))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k1_sin_cos9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k1_sin_cos9), A), B)=k2_xcmplx_0(k4_xcmplx_0(k3_xcmplx_0(k1_funct_1(k16_sin_cos, B), k1_funct_1(k1_sin_cos9, B))), k7_xcmplx_0(k1_funct_1(k18_sin_cos, B), k2_xcmplx_0(1, k1_square_1(B))))) ) ) ) ) ) ) ).
fof(t28_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k2_sin_cos9))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k2_sin_cos9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k2_sin_cos9), A), B)=k6_xcmplx_0(k4_xcmplx_0(k3_xcmplx_0(k1_funct_1(k16_sin_cos, B), k1_funct_1(k2_sin_cos9, B))), k7_xcmplx_0(k1_funct_1(k18_sin_cos, B), k2_xcmplx_0(1, k1_square_1(B))))) ) ) ) ) ) ) ).
fof(t29_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_sin_cos9))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_sin_cos9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_sin_cos9), A), B)=k2_xcmplx_0(k7_xcmplx_0(k1_funct_1(k1_sin_cos9, B), k1_square_1(k1_funct_1(k18_sin_cos, B))), k7_xcmplx_0(k1_funct_1(k26_sin_cos, B), k2_xcmplx_0(1, k1_square_1(B))))) ) ) ) ) ) ) ).
fof(t30_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k2_sin_cos9))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k2_sin_cos9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k2_sin_cos9), A), B)=k6_xcmplx_0(k7_xcmplx_0(k1_funct_1(k2_sin_cos9, B), k1_square_1(k1_funct_1(k18_sin_cos, B))), k7_xcmplx_0(k1_funct_1(k26_sin_cos, B), k2_xcmplx_0(1, k1_square_1(B))))) ) ) ) ) ) ) ).
fof(t31_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k1_sin_cos9))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k1_sin_cos9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k1_sin_cos9), A), B)=k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k1_funct_1(k1_sin_cos9, B), k1_square_1(k1_funct_1(k16_sin_cos, B)))), k7_xcmplx_0(k1_funct_1(k27_sin_cos, B), k2_xcmplx_0(1, k1_square_1(B))))) ) ) ) ) ) ) ).
fof(t32_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k2_sin_cos9))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k2_sin_cos9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k2_sin_cos9), A), B)=k6_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k1_funct_1(k2_sin_cos9, B), k1_square_1(k1_funct_1(k16_sin_cos, B)))), k7_xcmplx_0(k1_funct_1(k27_sin_cos, B), k2_xcmplx_0(1, k1_square_1(B))))) ) ) ) ) ) ) ).
fof(t33_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k1_sin_cos9))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k1_sin_cos9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k1_sin_cos9), A), B)=k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k16_sin_cos, B), k1_funct_1(k1_sin_cos9, B)), k1_square_1(k1_funct_1(k18_sin_cos, B))), k7_xcmplx_0(1, k3_xcmplx_0(k1_funct_1(k18_sin_cos, B), k2_xcmplx_0(1, k1_square_1(B)))))) ) ) ) ) ) ) ).
fof(t34_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k2_sin_cos9))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k2_sin_cos9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k2_sin_cos9), A), B)=k6_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k16_sin_cos, B), k1_funct_1(k2_sin_cos9, B)), k1_square_1(k1_funct_1(k18_sin_cos, B))), k7_xcmplx_0(1, k3_xcmplx_0(k1_funct_1(k18_sin_cos, B), k2_xcmplx_0(1, k1_square_1(B)))))) ) ) ) ) ) ) ).
fof(t35_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k1_sin_cos9))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k1_sin_cos9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k1_sin_cos9), A), B)=k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k18_sin_cos, B), k1_funct_1(k1_sin_cos9, B)), k1_square_1(k1_funct_1(k16_sin_cos, B)))), k7_xcmplx_0(1, k3_xcmplx_0(k1_funct_1(k16_sin_cos, B), k2_xcmplx_0(1, k1_square_1(B)))))) ) ) ) ) ) ) ).
fof(t36_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k2_sin_cos9))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k2_sin_cos9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k2_sin_cos9), A), B)=k6_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k18_sin_cos, B), k1_funct_1(k2_sin_cos9, B)), k1_square_1(k1_funct_1(k16_sin_cos, B)))), k7_xcmplx_0(1, k3_xcmplx_0(k1_funct_1(k16_sin_cos, B), k2_xcmplx_0(1, k1_square_1(B)))))) ) ) ) ) ) ) ).
fof(t37_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)) =>  (r2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9), A), B)=k5_numbers) ) ) ) ) ) ) ).
fof(t38_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)) =>  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9), A), B)=k7_xcmplx_0(2, k2_xcmplx_0(1, k1_square_1(B)))) ) ) ) ) ) ) ).
fof(t39_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9)), A), B)=k3_xcmplx_0(k1_funct_1(k18_sin_cos, B), k2_xcmplx_0(k1_funct_1(k1_sin_cos9, B), k1_funct_1(k2_sin_cos9, B)))) ) ) ) ) ) ) ).
fof(t40_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9)), A), B)=k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(k18_sin_cos, B), k6_xcmplx_0(k1_funct_1(k1_sin_cos9, B), k1_funct_1(k2_sin_cos9, B))), k7_xcmplx_0(k3_xcmplx_0(2, k1_funct_1(k16_sin_cos, B)), k2_xcmplx_0(1, k1_square_1(B))))) ) ) ) ) ) ) ).
fof(t41_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9)), A), B)=k4_xcmplx_0(k3_xcmplx_0(k1_funct_1(k16_sin_cos, B), k2_xcmplx_0(k1_funct_1(k1_sin_cos9, B), k1_funct_1(k2_sin_cos9, B))))) ) ) ) ) ) ) ).
fof(t42_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9)), A), B)=k2_xcmplx_0(k4_xcmplx_0(k3_xcmplx_0(k1_funct_1(k16_sin_cos, B), k6_xcmplx_0(k1_funct_1(k1_sin_cos9, B), k1_funct_1(k2_sin_cos9, B)))), k7_xcmplx_0(k3_xcmplx_0(2, k1_funct_1(k18_sin_cos, B)), k2_xcmplx_0(1, k1_square_1(B))))) ) ) ) ) ) ) ).
fof(t43_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k26_sin_cos)) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9)), A), B)=k7_xcmplx_0(k2_xcmplx_0(k1_funct_1(k1_sin_cos9, B), k1_funct_1(k2_sin_cos9, B)), k1_square_1(k1_funct_1(k18_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t44_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k26_sin_cos)) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9)), A), B)=k2_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(k1_sin_cos9, B), k1_funct_1(k2_sin_cos9, B)), k1_square_1(k1_funct_1(k18_sin_cos, B))), k7_xcmplx_0(k3_xcmplx_0(2, k1_funct_1(k26_sin_cos, B)), k2_xcmplx_0(1, k1_square_1(B))))) ) ) ) ) ) ) ).
fof(t45_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k27_sin_cos)) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9)), A), B)=k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(k1_funct_1(k1_sin_cos9, B), k1_funct_1(k2_sin_cos9, B)), k1_square_1(k1_funct_1(k16_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t46_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k27_sin_cos)) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9)), A), B)=k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(k1_sin_cos9, B), k1_funct_1(k2_sin_cos9, B)), k1_square_1(k1_funct_1(k16_sin_cos, B)))), k7_xcmplx_0(k3_xcmplx_0(2, k1_funct_1(k27_sin_cos, B)), k2_xcmplx_0(1, k1_square_1(B))))) ) ) ) ) ) ) ).
fof(t47_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_fdiff_9)) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9)), A), B)=k7_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(k1_funct_1(k1_sin_cos9, B), k1_funct_1(k2_sin_cos9, B)), k1_funct_1(k16_sin_cos, B)), k1_square_1(k1_funct_1(k18_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t48_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_fdiff_9)) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9)), A), B)=k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(k1_funct_1(k1_sin_cos9, B), k1_funct_1(k2_sin_cos9, B)), k1_funct_1(k16_sin_cos, B)), k1_square_1(k1_funct_1(k18_sin_cos, B))), k7_xcmplx_0(k3_xcmplx_0(2, k1_funct_1(k1_fdiff_9, B)), k2_xcmplx_0(1, k1_square_1(B))))) ) ) ) ) ) ) ).
fof(t49_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k2_fdiff_9)) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9)), A), B)=k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(k1_funct_1(k1_sin_cos9, B), k1_funct_1(k2_sin_cos9, B)), k1_funct_1(k18_sin_cos, B)), k1_square_1(k1_funct_1(k16_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t50_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k2_fdiff_9)) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9)), A), B)=k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(k1_funct_1(k1_sin_cos9, B), k1_funct_1(k2_sin_cos9, B)), k1_funct_1(k18_sin_cos, B)), k1_square_1(k1_funct_1(k16_sin_cos, B)))), k7_xcmplx_0(k3_xcmplx_0(2, k1_funct_1(k2_fdiff_9, B)), k2_xcmplx_0(1, k1_square_1(B))))) ) ) ) ) ) ) ).
fof(t51_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9)), A), B)=k3_xcmplx_0(k1_funct_1(k22_sin_cos, B), k2_xcmplx_0(k1_funct_1(k1_sin_cos9, B), k1_funct_1(k2_sin_cos9, B)))) ) ) ) ) ) ) ).
fof(t52_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9)), A), B)=k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(k22_sin_cos, B), k6_xcmplx_0(k1_funct_1(k1_sin_cos9, B), k1_funct_1(k2_sin_cos9, B))), k7_xcmplx_0(k3_xcmplx_0(2, k1_funct_1(k22_sin_cos, B)), k2_xcmplx_0(1, k1_square_1(B))))) ) ) ) ) ) ) ).
fof(t53_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)) =>  (r2_fdiff_1(k3_rfunct_1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9), k22_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k3_rfunct_1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9), k22_sin_cos), A), B)=k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(k1_funct_1(k1_sin_cos9, B), k1_funct_1(k2_sin_cos9, B)), k1_funct_1(k22_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t54_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)) =>  (r2_fdiff_1(k3_rfunct_1(k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9), k22_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k3_rfunct_1(k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9), k22_sin_cos), A), B)=k7_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(2, k2_xcmplx_0(1, k1_square_1(B))), k1_funct_1(k1_sin_cos9, B)), k1_funct_1(k2_sin_cos9, B)), k1_funct_1(k22_sin_cos, B))) ) ) ) ) ) ) ).
fof(t55_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9), k22_sin_cos))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9), k22_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9), k22_sin_cos), A), B)=k5_numbers) ) ) ) ) ) ) ).
fof(t56_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9), k22_sin_cos))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9), k22_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9), k22_sin_cos), A), B)=k7_xcmplx_0(k3_xcmplx_0(2, k1_funct_1(k22_sin_cos, k6_xcmplx_0(k1_funct_1(k1_sin_cos9, B), k1_funct_1(k2_sin_cos9, B)))), k2_xcmplx_0(1, k1_square_1(B)))) ) ) ) ) ) ) ).
fof(t57_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9), k16_sin_cos))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9), k16_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9), k16_sin_cos), A), B)=k5_numbers) ) ) ) ) ) ) ).
fof(t58_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9), k16_sin_cos))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9), k16_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9), k16_sin_cos), A), B)=k7_xcmplx_0(k3_xcmplx_0(2, k1_funct_1(k18_sin_cos, k6_xcmplx_0(k1_funct_1(k1_sin_cos9, B), k1_funct_1(k2_sin_cos9, B)))), k2_xcmplx_0(1, k1_square_1(B)))) ) ) ) ) ) ) ).
fof(t59_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9), k18_sin_cos))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9), k18_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9), k18_sin_cos), A), B)=k5_numbers) ) ) ) ) ) ) ).
fof(t60_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9), k18_sin_cos))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9), k18_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9), k18_sin_cos), A), B)=k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(2, k1_funct_1(k16_sin_cos, k6_xcmplx_0(k1_funct_1(k1_sin_cos9, B), k1_funct_1(k2_sin_cos9, B)))), k2_xcmplx_0(1, k1_square_1(B))))) ) ) ) ) ) ) ).
fof(t61_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k2_sin_cos9), A), B)=k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(k2_sin_cos9, B), k1_funct_1(k1_sin_cos9, B)), k2_xcmplx_0(1, k1_square_1(B)))) ) ) ) ) ) ) ).
fof(t62_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k1_sin_cos9), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k2_sin_cos9)))) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) =>  ( ~ (r1_xxreal_0(k1_funct_1(k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), B), k4_xcmplx_0(1)))  &  ~ (r1_xxreal_0(1, k1_funct_1(k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), B))) ) ) ) ) )  =>  (r2_tarski(k5_numbers, A) |  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k1_sin_cos9), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k2_sin_cos9)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k1_sin_cos9), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k2_sin_cos9)), A), B)=k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(k1_sin_cos9, k7_xcmplx_0(1, B)), k1_funct_1(k2_sin_cos9, k7_xcmplx_0(1, B))), k2_xcmplx_0(1, k1_square_1(B)))) ) ) ) ) ) ) ) ).
fof(t63_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k1_sin_cos9)))) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) =>  ( ~ (r1_xxreal_0(k1_funct_1(k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), B), k4_xcmplx_0(1)))  &  ~ (r1_xxreal_0(1, k1_funct_1(k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), B))) ) ) ) ) )  =>  (r2_tarski(k5_numbers, A) |  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k1_sin_cos9)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k1_sin_cos9)), A), B)=k6_xcmplx_0(k1_funct_1(k1_sin_cos9, k7_xcmplx_0(1, B)), k7_xcmplx_0(B, k2_xcmplx_0(1, k1_square_1(B))))) ) ) ) ) ) ) ) ).
fof(t64_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k2_sin_cos9)))) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) =>  ( ~ (r1_xxreal_0(k1_funct_1(k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), B), k4_xcmplx_0(1)))  &  ~ (r1_xxreal_0(1, k1_funct_1(k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), B))) ) ) ) ) )  =>  (r2_tarski(k5_numbers, A) |  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k2_sin_cos9)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k2_sin_cos9)), A), B)=k2_xcmplx_0(k1_funct_1(k2_sin_cos9, k7_xcmplx_0(1, B)), k7_xcmplx_0(B, k2_xcmplx_0(1, k1_square_1(B))))) ) ) ) ) ) ) ) ).
fof(t65_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k1_sin_cos9)))) &  (r2_relset_1(k1_numbers, k1_numbers, B, k1_taylor_1(2)) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) =>  ( ~ (r1_xxreal_0(k1_funct_1(k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), C), k4_xcmplx_0(1)))  &  ~ (r1_xxreal_0(1, k1_funct_1(k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), C))) ) ) ) ) ) )  =>  (r2_tarski(k5_numbers, A) |  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k1_sin_cos9)), A) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k1_sin_cos9)), A), C)=k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, C), k1_funct_1(k1_sin_cos9, k7_xcmplx_0(1, C))), k7_xcmplx_0(k1_square_1(C), k2_xcmplx_0(1, k1_square_1(C))))) ) ) ) ) ) ) ) ) ) ).
fof(t66_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k2_sin_cos9)))) &  (r2_relset_1(k1_numbers, k1_numbers, B, k1_taylor_1(2)) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) =>  ( ~ (r1_xxreal_0(k1_funct_1(k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), C), k4_xcmplx_0(1)))  &  ~ (r1_xxreal_0(1, k1_funct_1(k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), C))) ) ) ) ) ) )  =>  (r2_tarski(k5_numbers, A) |  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k2_sin_cos9)), A) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k2_sin_cos9)), A), C)=k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, C), k1_funct_1(k2_sin_cos9, k7_xcmplx_0(1, C))), k7_xcmplx_0(k1_square_1(C), k2_xcmplx_0(1, k1_square_1(C))))) ) ) ) ) ) ) ) ) ) ).
fof(t67_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r2_hidden(B, A) & k1_funct_1(k1_sin_cos9, B)=k5_numbers) ) ) ) )  =>  (r2_fdiff_1(k6_rfunct_1(k1_numbers, k1_numbers, k1_sin_cos9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k6_rfunct_1(k1_numbers, k1_numbers, k1_sin_cos9), A), B)=k4_xcmplx_0(k7_xcmplx_0(1, k3_xcmplx_0(k1_square_1(k1_funct_1(k1_sin_cos9, B)), k2_xcmplx_0(1, k1_square_1(B)))))) ) ) ) ) ) ) ).
fof(t68_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)) =>  (r2_fdiff_1(k6_rfunct_1(k1_numbers, k1_numbers, k2_sin_cos9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k6_rfunct_1(k1_numbers, k1_numbers, k2_sin_cos9), A), B)=k7_xcmplx_0(1, k3_xcmplx_0(k1_square_1(k1_funct_1(k2_sin_cos9, B)), k2_xcmplx_0(1, k1_square_1(B))))) ) ) ) ) ) ) ).
fof(t69_fdiff_11, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_sin_cos9), k1_taylor_1(A)), k7_xcmplx_0(1, A)))) &  (r1_tarski(B, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (! [C] :  (v1_xreal_0(C) =>  ~ ( (r2_hidden(C, B) & k1_funct_1(k1_sin_cos9, C)=k5_numbers) ) ) ) ) )  =>  (r1_xxreal_0(A, k5_numbers) |  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_sin_cos9), k1_taylor_1(A)), k7_xcmplx_0(1, A)), B) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, B) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_sin_cos9), k1_taylor_1(A)), k7_xcmplx_0(1, A)), B), C)=k4_xcmplx_0(k7_xcmplx_0(1, k3_xcmplx_0(k3_prepower(k1_funct_1(k1_sin_cos9, C), k2_xcmplx_0(A, 1)), k2_xcmplx_0(1, k1_square_1(C)))))) ) ) ) ) ) ) ) ) ) ).
fof(t70_fdiff_11, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k2_sin_cos9), k1_taylor_1(A)), k7_xcmplx_0(1, A)))) & r1_tarski(B, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r1_xxreal_0(A, k5_numbers) |  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k2_sin_cos9), k1_taylor_1(A)), k7_xcmplx_0(1, A)), B) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, B) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k2_sin_cos9), k1_taylor_1(A)), k7_xcmplx_0(1, A)), B), C)=k7_xcmplx_0(1, k3_xcmplx_0(k3_prepower(k1_funct_1(k2_sin_cos9, C), k2_xcmplx_0(A, 1)), k2_xcmplx_0(1, k1_square_1(C))))) ) ) ) ) ) ) ) ) ) ).
fof(t71_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k4_taylor_1(k7_xcmplx_0(1, 2))), 2))) &  (r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r2_hidden(B, A) & r1_xxreal_0(k1_funct_1(k1_sin_cos9, B), k5_numbers)) ) ) ) ) )  =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k4_taylor_1(k7_xcmplx_0(1, 2))), 2), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k4_taylor_1(k7_xcmplx_0(1, 2))), 2), A), B)=k7_xcmplx_0(k6_prepower(k1_funct_1(k1_sin_cos9, B), k4_xcmplx_0(k7_xcmplx_0(1, 2))), k2_xcmplx_0(1, k1_square_1(B)))) ) ) ) ) ) ) ).
fof(t72_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k4_taylor_1(k7_xcmplx_0(1, 2))), 2))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k4_taylor_1(k7_xcmplx_0(1, 2))), 2), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k4_taylor_1(k7_xcmplx_0(1, 2))), 2), A), B)=k4_xcmplx_0(k7_xcmplx_0(k6_prepower(k1_funct_1(k2_sin_cos9, B), k4_xcmplx_0(k7_xcmplx_0(1, 2))), k2_xcmplx_0(1, k1_square_1(B))))) ) ) ) ) ) ) ).
fof(t73_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k4_taylor_1(k7_xcmplx_0(3, 2))), k7_xcmplx_0(2, 3)))) &  (r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r2_hidden(B, A) & r1_xxreal_0(k1_funct_1(k1_sin_cos9, B), k5_numbers)) ) ) ) ) )  =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k4_taylor_1(k7_xcmplx_0(3, 2))), k7_xcmplx_0(2, 3)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k4_taylor_1(k7_xcmplx_0(3, 2))), k7_xcmplx_0(2, 3)), A), B)=k7_xcmplx_0(k6_prepower(k1_funct_1(k1_sin_cos9, B), k7_xcmplx_0(1, 2)), k2_xcmplx_0(1, k1_square_1(B)))) ) ) ) ) ) ) ).
fof(t74_fdiff_11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k4_taylor_1(k7_xcmplx_0(3, 2))), k7_xcmplx_0(2, 3)))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k4_taylor_1(k7_xcmplx_0(3, 2))), k7_xcmplx_0(2, 3)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k4_taylor_1(k7_xcmplx_0(3, 2))), k7_xcmplx_0(2, 3)), A), B)=k4_xcmplx_0(k7_xcmplx_0(k6_prepower(k1_funct_1(k2_sin_cos9, B), k7_xcmplx_0(1, 2)), k2_xcmplx_0(1, k1_square_1(B))))) ) ) ) ) ) ) ).
fof(fc1_fdiff_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v9_ordinal1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(A, k5_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (v1_relat_1(k30_valued_1(A)) &  (v1_funct_1(k30_valued_1(A)) &  (v9_ordinal1(k30_valued_1(A)) &  (v1_valued_0(k30_valued_1(A)) & v2_comseq_2(k30_valued_1(A))) ) ) ) ) ) ).
fof(t1_fdiff_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_comseq_2(A) &  (v2_comseq_2(B) &  (k1_seq_2(A)=k1_seq_2(B) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (k3_funct_2(k4_ordinal1, k1_numbers, C, k2_nat_1(2, D))=k3_funct_2(k4_ordinal1, k1_numbers, A, D) & k3_funct_2(k4_ordinal1, k1_numbers, C, k1_nat_1(k2_nat_1(2, D), 1))=k3_funct_2(k4_ordinal1, k1_numbers, B, D)) ) ) ) ) )  =>  (v2_comseq_2(C) & k1_seq_2(C)=k1_seq_2(A)) ) ) ) ) ) ) ) ).
fof(t2_fdiff_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (! [B] :  (m1_subset_1(B, k4_ordinal1) => k3_funct_2(k4_ordinal1, k1_numbers, A, B)=k2_nat_1(2, B)) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) &  (v5_valued_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) ) ) ) ) ).
fof(t3_fdiff_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (! [B] :  (m1_subset_1(B, k4_ordinal1) => k3_funct_2(k4_ordinal1, k1_numbers, A, B)=k1_nat_1(k2_nat_1(2, B), 1)) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) &  (v5_valued_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) ) ) ) ) ).
fof(t4_fdiff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v9_ordinal1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(B, k5_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v3_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (k2_relset_1(k1_numbers, C)=k1_tarski(A) =>  (v2_comseq_2(C) &  (k1_seq_2(C)=A &  (v2_comseq_2(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, B, C)) & k1_seq_2(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, B, C))=A) ) ) ) ) ) ) ) ) ) ).
fof(t5_fdiff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (k2_relset_1(k1_numbers, B)=k1_tarski(A) & k2_relset_1(k1_numbers, C)=k1_tarski(A))  => r2_relset_1(k4_ordinal1, k1_numbers, B, C)) ) ) ) ) ) ) ).
fof(t6_fdiff_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v9_ordinal1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(B, k5_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (m2_valued_0(A, k1_numbers, B) =>  (v1_funct_1(A) &  (v9_ordinal1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(A, k5_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ) ) ) ) ) ).
fof(t7_fdiff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (! [C] :  ( (v1_funct_1(C) &  (v9_ordinal1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(C, k5_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v3_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (k2_relset_1(k1_numbers, D)=k1_tarski(A) &  (r1_tarski(k2_relset_1(k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, C, D)), k1_relset_1(k1_numbers, B)) & r1_tarski(k1_tarski(A), k1_relset_1(k1_numbers, B))) )  => v2_comseq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, C), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, C, D), B), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, D, B))))) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v9_ordinal1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(C, k5_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v9_ordinal1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(D, k5_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v3_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (k2_relset_1(k1_numbers, E)=k1_tarski(A) &  (r1_tarski(k2_relset_1(k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, C, E)), k1_relset_1(k1_numbers, B)) &  (r1_tarski(k2_relset_1(k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E)), k1_relset_1(k1_numbers, B)) & r1_tarski(k1_tarski(A), k1_relset_1(k1_numbers, B))) ) )  => k1_seq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, C), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, C, E), B), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, B))))=k1_seq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), B), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, B))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_fdiff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ~ ( ( (? [C] :  (m1_rcomp_1(C, A) & r1_tarski(C, k1_relset_1(k1_numbers, B))) )  &  (! [C] :  ( (v1_funct_1(C) &  (v9_ordinal1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(C, k5_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v3_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ~ ( (k2_relset_1(k1_numbers, D)=k1_tarski(A) &  (r1_tarski(k2_relset_1(k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, C, D)), k1_relset_1(k1_numbers, B)) & r1_tarski(k1_tarski(A), k1_relset_1(k1_numbers, B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_fdiff_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_tarski(k2_relset_1(k1_numbers, A), k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C))) =>  (r1_tarski(k2_relset_1(k1_numbers, A), k1_relset_1(k1_numbers, B)) & r1_tarski(k2_relset_1(k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, A, B)), k1_relset_1(k1_numbers, C))) ) ) ) ) ) ) ) ).
fof(t10_fdiff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ~ ( ( ~ (k1_funct_1(C, A)=B)  &  (r1_fdiff_1(C, A) &  (! [D] :  (m1_rcomp_1(D, A) =>  ~ ( (r1_tarski(D, k1_relset_1(k1_numbers, C)) &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, D) & k1_funct_1(C, E)=B) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_fdiff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_fdiff_1(B, A) <=>  ( (? [C] :  (m1_rcomp_1(C, A) & r1_tarski(C, k1_relset_1(k1_numbers, B))) )  &  (! [C] :  ( (v1_funct_1(C) &  (v9_ordinal1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(C, k5_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v3_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (k2_relset_1(k1_numbers, D)=k1_tarski(A) & r1_tarski(k2_relset_1(k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, C, D)), k1_relset_1(k1_numbers, B)))  => v2_comseq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, C), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, C, D), B), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, D, B))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_fdiff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( ( (r1_fdiff_1(C, A) & k1_fdiff_1(C, A)=B)  =>  ( (? [D] :  (m1_rcomp_1(D, A) & r1_tarski(D, k1_relset_1(k1_numbers, C))) )  &  (! [D] :  ( (v1_funct_1(D) &  (v9_ordinal1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(D, k5_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v3_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (k2_relset_1(k1_numbers, E)=k1_tarski(A) & r1_tarski(k2_relset_1(k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E)), k1_relset_1(k1_numbers, C)))  =>  (v2_comseq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), C), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, C)))) & k1_seq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), C), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, C))))=B) ) ) ) ) ) ) )  &  ( (! [D] :  ( (v1_funct_1(D) &  (v9_ordinal1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(D, k5_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v3_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (k2_relset_1(k1_numbers, E)=k1_tarski(A) & r1_tarski(k2_relset_1(k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E)), k1_relset_1(k1_numbers, C)))  =>  (v2_comseq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), C), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, C)))) & k1_seq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), C), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, C))))=B) ) ) ) ) )  =>  ( (! [D] :  (m1_rcomp_1(D, A) =>  ~ (r1_tarski(D, k1_relset_1(k1_numbers, C))) ) )  |  (r1_fdiff_1(C, A) & k1_fdiff_1(C, A)=B) ) ) ) ) ) ) ) ) ) ).
fof(t13_fdiff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_fdiff_1(B, A) & r1_fdiff_1(C, k1_funct_1(B, A)))  =>  (r1_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A) & k1_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)=k3_xcmplx_0(k1_fdiff_1(C, k1_funct_1(B, A)), k1_fdiff_1(B, A))) ) ) ) ) ) ) ) ).
fof(t14_fdiff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_fdiff_1(B, A) & r1_fdiff_1(C, A))  =>  (k1_funct_1(C, A)=k5_numbers |  (r1_fdiff_1(k3_rfunct_1(k1_numbers, k1_numbers, B, C), A) & k1_fdiff_1(k3_rfunct_1(k1_numbers, k1_numbers, B, C), A)=k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(B, A), k1_funct_1(C, A)), k3_xcmplx_0(k1_fdiff_1(C, A), k1_funct_1(B, A))), k1_square_1(k1_funct_1(C, A)))) ) ) ) ) ) ) ) ) ).
fof(t15_fdiff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_fdiff_1(B, A) =>  (k1_funct_1(B, A)=k5_numbers |  (r1_fdiff_1(k6_rfunct_1(k1_numbers, k1_numbers, B), A) & k1_fdiff_1(k6_rfunct_1(k1_numbers, k1_numbers, B), A)=k4_xcmplx_0(k7_xcmplx_0(k1_fdiff_1(B, A), k1_square_1(k1_funct_1(B, A))))) ) ) ) ) ) ) ).
fof(t16_fdiff_2, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r2_fdiff_1(B, A) =>  (r2_fdiff_1(k2_partfun1(k1_numbers, k1_numbers, B, A), A) & r2_relset_1(k1_numbers, k1_numbers, k2_fdiff_1(B, A), k2_fdiff_1(k2_partfun1(k1_numbers, k1_numbers, B, A), A))) ) ) ) ) ) ).
fof(t17_fdiff_2, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_fdiff_1(B, A) & r2_fdiff_1(C, A))  =>  (r2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A) & r2_relset_1(k1_numbers, k1_numbers, k2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k2_fdiff_1(B, A), k2_fdiff_1(C, A)))) ) ) ) ) ) ) ) ).
fof(t18_fdiff_2, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_fdiff_1(B, A) & r2_fdiff_1(C, A))  =>  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A) & r2_relset_1(k1_numbers, k1_numbers, k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A), k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k2_fdiff_1(B, A), k2_fdiff_1(C, A)))) ) ) ) ) ) ) ) ).
fof(t19_fdiff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r2_fdiff_1(C, B) =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, C, A), B) & r2_relset_1(k1_numbers, k1_numbers, k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, C, A), B), k26_valued_1(k1_numbers, k1_numbers, k2_fdiff_1(C, B), A))) ) ) ) ) ) ) ) ).
fof(t20_fdiff_2, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_fdiff_1(B, A) & r2_fdiff_1(C, A))  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A) & r2_relset_1(k1_numbers, k1_numbers, k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k2_fdiff_1(B, A), C), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k2_fdiff_1(C, A))))) ) ) ) ) ) ) ) ).
fof(t21_fdiff_2, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_fdiff_1(B, A) &  (r2_fdiff_1(C, A) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( (r2_hidden(D, A) & k1_funct_1(C, D)=k5_numbers) ) ) ) ) )  =>  (r2_fdiff_1(k3_rfunct_1(k1_numbers, k1_numbers, B, C), A) & r2_relset_1(k1_numbers, k1_numbers, k2_fdiff_1(k3_rfunct_1(k1_numbers, k1_numbers, B, C), A), k3_rfunct_1(k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k2_fdiff_1(B, A), C), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k2_fdiff_1(C, A), B)), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, C, C)))) ) ) ) ) ) ) ) ).
fof(t22_fdiff_2, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_fdiff_1(B, A) &  (! [C] :  (v1_xreal_0(C) =>  ~ ( (r2_hidden(C, A) & k1_funct_1(B, C)=k5_numbers) ) ) ) )  =>  (r2_fdiff_1(k6_rfunct_1(k1_numbers, k1_numbers, B), A) & r2_relset_1(k1_numbers, k1_numbers, k2_fdiff_1(k6_rfunct_1(k1_numbers, k1_numbers, B), A), k32_valued_1(k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k2_fdiff_1(B, A), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, B))))) ) ) ) ) ) ).
fof(t23_fdiff_2, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_fdiff_1(B, A) &  ( (v3_rcomp_1(k7_relset_1(k1_numbers, k1_numbers, B, A)) & m1_subset_1(k7_relset_1(k1_numbers, k1_numbers, B, A), k1_zfmisc_1(k1_numbers)))  & r2_fdiff_1(C, k7_relset_1(k1_numbers, k1_numbers, B, A))) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A) & r2_relset_1(k1_numbers, k1_numbers, k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k2_fdiff_1(C, k7_relset_1(k1_numbers, k1_numbers, B, A))), k2_fdiff_1(B, A)))) ) ) ) ) ) ) ) ).
fof(t24_fdiff_2, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, B)) &  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r2_hidden(C, A) & r2_hidden(D, A))  => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k1_funct_1(B, C), k1_funct_1(B, D))), k1_square_1(k6_xcmplx_0(C, D)))) ) ) ) ) )  =>  (r2_fdiff_1(B, A) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_fdiff_1(B, C)=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(t25_fdiff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( ( (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ( (r2_hidden(D, k2_rcomp_1(B, A)) & r2_hidden(E, k2_rcomp_1(B, A)))  => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k1_funct_1(C, D), k1_funct_1(C, E))), k1_square_1(k6_xcmplx_0(D, E)))) ) ) ) )  & r1_tarski(k2_rcomp_1(B, A), k1_relset_1(k1_numbers, C)))  =>  (r2_fdiff_1(C, k2_rcomp_1(B, A)) & v3_funct_1(k2_partfun1(k1_numbers, k1_numbers, C, k2_rcomp_1(B, A)))) ) ) ) ) ) ) ) ).
fof(t26_fdiff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(k10_prob_1(A), k1_relset_1(k1_numbers, B)) &  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r2_hidden(C, k10_prob_1(A)) & r2_hidden(D, k10_prob_1(A)))  => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k1_funct_1(B, C), k1_funct_1(B, D))), k1_square_1(k6_xcmplx_0(C, D)))) ) ) ) ) )  =>  (r2_fdiff_1(B, k10_prob_1(A)) & v3_funct_1(k2_partfun1(k1_numbers, k1_numbers, B, k10_prob_1(A)))) ) ) ) ) ) ).
fof(t27_fdiff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(k3_limfunc1(A), k1_relset_1(k1_numbers, B)) &  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r2_hidden(C, k3_limfunc1(A)) & r2_hidden(D, k3_limfunc1(A)))  => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k1_funct_1(B, C), k1_funct_1(B, D))), k1_square_1(k6_xcmplx_0(C, D)))) ) ) ) ) )  =>  (r2_fdiff_1(B, k3_limfunc1(A)) & v3_funct_1(k2_partfun1(k1_numbers, k1_numbers, B, k3_limfunc1(A)))) ) ) ) ) ) ).
fof(t28_fdiff_2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v1_partfun1(A, k1_numbers) &  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k1_funct_1(A, B), k1_funct_1(A, C))), k1_square_1(k6_xcmplx_0(B, C)))) ) ) ) )  =>  (r2_fdiff_1(A, k2_subset_1(k1_numbers)) & v3_funct_1(k2_partfun1(k1_numbers, k1_numbers, A, k2_subset_1(k1_numbers)))) ) ) ) ).
fof(t29_fdiff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(k10_prob_1(A), k1_relset_1(k1_numbers, B)) &  (r2_fdiff_1(B, k10_prob_1(A)) &  (! [C] :  (v1_xreal_0(C) =>  ~ ( (r2_hidden(C, k10_prob_1(A)) & r1_xxreal_0(k1_fdiff_1(B, C), k5_numbers)) ) ) ) ) )  =>  (v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k10_prob_1(A))) & v2_funct_1(k2_partfun1(k1_numbers, k1_numbers, B, k10_prob_1(A)))) ) ) ) ) ) ).
fof(t30_fdiff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(k10_prob_1(A), k1_relset_1(k1_numbers, B)) &  (r2_fdiff_1(B, k10_prob_1(A)) &  (! [C] :  (v1_xreal_0(C) =>  ~ ( (r2_hidden(C, k10_prob_1(A)) & r1_xxreal_0(k5_numbers, k1_fdiff_1(B, C))) ) ) ) ) )  =>  (v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k10_prob_1(A))) & v2_funct_1(k2_partfun1(k1_numbers, k1_numbers, B, k10_prob_1(A)))) ) ) ) ) ) ).
fof(t31_fdiff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(k10_prob_1(A), k1_relset_1(k1_numbers, B)) &  (r2_fdiff_1(B, k10_prob_1(A)) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, k10_prob_1(A)) => r1_xxreal_0(k5_numbers, k1_fdiff_1(B, C))) ) ) ) )  => v7_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k10_prob_1(A)))) ) ) ) ) ).
fof(t32_fdiff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(k10_prob_1(A), k1_relset_1(k1_numbers, B)) &  (r2_fdiff_1(B, k10_prob_1(A)) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, k10_prob_1(A)) => r1_xxreal_0(k1_fdiff_1(B, C), k5_numbers)) ) ) ) )  => v8_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k10_prob_1(A)))) ) ) ) ) ).
fof(t33_fdiff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(k3_limfunc1(A), k1_relset_1(k1_numbers, B)) &  (r2_fdiff_1(B, k3_limfunc1(A)) &  (! [C] :  (v1_xreal_0(C) =>  ~ ( (r2_hidden(C, k3_limfunc1(A)) & r1_xxreal_0(k1_fdiff_1(B, C), k5_numbers)) ) ) ) ) )  =>  (v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k3_limfunc1(A))) & v2_funct_1(k2_partfun1(k1_numbers, k1_numbers, B, k3_limfunc1(A)))) ) ) ) ) ) ).
fof(t34_fdiff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(k3_limfunc1(A), k1_relset_1(k1_numbers, B)) &  (r2_fdiff_1(B, k3_limfunc1(A)) &  (! [C] :  (v1_xreal_0(C) =>  ~ ( (r2_hidden(C, k3_limfunc1(A)) & r1_xxreal_0(k5_numbers, k1_fdiff_1(B, C))) ) ) ) ) )  =>  (v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k3_limfunc1(A))) & v2_funct_1(k2_partfun1(k1_numbers, k1_numbers, B, k3_limfunc1(A)))) ) ) ) ) ) ).
fof(t35_fdiff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(k3_limfunc1(A), k1_relset_1(k1_numbers, B)) &  (r2_fdiff_1(B, k3_limfunc1(A)) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, k3_limfunc1(A)) => r1_xxreal_0(k5_numbers, k1_fdiff_1(B, C))) ) ) ) )  => v7_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k3_limfunc1(A)))) ) ) ) ) ).
fof(t36_fdiff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(k3_limfunc1(A), k1_relset_1(k1_numbers, B)) &  (r2_fdiff_1(B, k3_limfunc1(A)) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, k3_limfunc1(A)) => r1_xxreal_0(k1_fdiff_1(B, C), k5_numbers)) ) ) ) )  => v8_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k3_limfunc1(A)))) ) ) ) ) ).
fof(t37_fdiff_2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(k2_subset_1(k1_numbers), k1_relset_1(k1_numbers, A)) &  (r2_fdiff_1(A, k2_subset_1(k1_numbers)) &  (! [B] :  (v1_xreal_0(B) =>  ~ (r1_xxreal_0(k1_fdiff_1(A, B), k5_numbers)) ) ) ) )  =>  (v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, A, k2_subset_1(k1_numbers))) & v2_funct_1(A)) ) ) ) ).
fof(t38_fdiff_2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(k2_subset_1(k1_numbers), k1_relset_1(k1_numbers, A)) &  (r2_fdiff_1(A, k2_subset_1(k1_numbers)) &  (! [B] :  (v1_xreal_0(B) =>  ~ (r1_xxreal_0(k5_numbers, k1_fdiff_1(A, B))) ) ) ) )  =>  (v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, A, k2_subset_1(k1_numbers))) & v2_funct_1(A)) ) ) ) ).
fof(t39_fdiff_2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(k2_subset_1(k1_numbers), k1_relset_1(k1_numbers, A)) &  (r2_fdiff_1(A, k2_subset_1(k1_numbers)) &  (! [B] :  (v1_xreal_0(B) => r1_xxreal_0(k5_numbers, k1_fdiff_1(A, B))) ) ) )  => v7_valued_0(k2_partfun1(k1_numbers, k1_numbers, A, k2_subset_1(k1_numbers)))) ) ) ).
fof(t40_fdiff_2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(k2_subset_1(k1_numbers), k1_relset_1(k1_numbers, A)) &  (r2_fdiff_1(A, k2_subset_1(k1_numbers)) &  (! [B] :  (v1_xreal_0(B) => r1_xxreal_0(k1_fdiff_1(A, B), k5_numbers)) ) ) )  => v8_valued_0(k2_partfun1(k1_numbers, k1_numbers, A, k2_subset_1(k1_numbers)))) ) ) ).
fof(t41_fdiff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(k2_rcomp_1(B, A), k1_relset_1(k1_numbers, C)) & r2_fdiff_1(C, k2_rcomp_1(B, A)))  =>  ( ( (? [D] :  (v1_xreal_0(D) &  (r2_hidden(D, k2_rcomp_1(B, A)) & r1_xxreal_0(k1_fdiff_1(C, D), k5_numbers)) ) )  &  (? [D] :  (v1_xreal_0(D) &  (r2_hidden(D, k2_rcomp_1(B, A)) & r1_xxreal_0(k5_numbers, k1_fdiff_1(C, D))) ) ) )  | v3_rcomp_1(k2_relset_1(k1_numbers, k2_partfun1(k1_numbers, k1_numbers, C, k2_rcomp_1(B, A))))) ) ) ) ) ) ) ) ).
fof(t42_fdiff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(k10_prob_1(A), k1_relset_1(k1_numbers, B)) & r2_fdiff_1(B, k10_prob_1(A)))  =>  ( ( (? [C] :  (v1_xreal_0(C) &  (r2_hidden(C, k10_prob_1(A)) & r1_xxreal_0(k1_fdiff_1(B, C), k5_numbers)) ) )  &  (? [C] :  (v1_xreal_0(C) &  (r2_hidden(C, k10_prob_1(A)) & r1_xxreal_0(k5_numbers, k1_fdiff_1(B, C))) ) ) )  | v3_rcomp_1(k2_relset_1(k1_numbers, k2_partfun1(k1_numbers, k1_numbers, B, k10_prob_1(A))))) ) ) ) ) ) ).
fof(t43_fdiff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(k3_limfunc1(A), k1_relset_1(k1_numbers, B)) & r2_fdiff_1(B, k3_limfunc1(A)))  =>  ( ( (? [C] :  (v1_xreal_0(C) &  (r2_hidden(C, k3_limfunc1(A)) & r1_xxreal_0(k1_fdiff_1(B, C), k5_numbers)) ) )  &  (? [C] :  (v1_xreal_0(C) &  (r2_hidden(C, k3_limfunc1(A)) & r1_xxreal_0(k5_numbers, k1_fdiff_1(B, C))) ) ) )  | v3_rcomp_1(k2_relset_1(k1_numbers, k2_partfun1(k1_numbers, k1_numbers, B, k3_limfunc1(A))))) ) ) ) ) ) ).
fof(t44_fdiff_2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(k2_subset_1(k1_numbers), k1_relset_1(k1_numbers, A)) & r2_fdiff_1(A, k2_subset_1(k1_numbers)))  =>  ( ( (? [B] :  (v1_xreal_0(B) & r1_xxreal_0(k1_fdiff_1(A, B), k5_numbers)) )  &  (? [B] :  (v1_xreal_0(B) & r1_xxreal_0(k5_numbers, k1_fdiff_1(A, B))) ) )  | v3_rcomp_1(k2_relset_1(k1_numbers, A))) ) ) ) ).
fof(t45_fdiff_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v2_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (r1_tarski(k2_subset_1(k1_numbers), k1_relset_1(k1_numbers, A)) & r2_fdiff_1(A, k2_subset_1(k1_numbers)))  =>  ( ( (? [B] :  (v1_xreal_0(B) & r1_xxreal_0(k1_fdiff_1(A, B), k5_numbers)) )  &  (? [B] :  (v1_xreal_0(B) & r1_xxreal_0(k5_numbers, k1_fdiff_1(A, B))) ) )  |  (v2_funct_1(A) &  (r2_fdiff_1(k2_partfun2(k1_numbers, k1_numbers, A), k1_relset_1(k1_numbers, k2_partfun2(k1_numbers, k1_numbers, A))) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, k1_relset_1(k1_numbers, k2_partfun2(k1_numbers, k1_numbers, A))) => k1_fdiff_1(k2_partfun2(k1_numbers, k1_numbers, A), B)=k7_xcmplx_0(1, k1_fdiff_1(A, k1_funct_1(k2_partfun2(k1_numbers, k1_numbers, A), B)))) ) ) ) ) ) ) ) ) ).
fof(t46_fdiff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v2_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (r1_tarski(k10_prob_1(A), k1_relset_1(k1_numbers, B)) & r2_fdiff_1(B, k10_prob_1(A)))  =>  ( ( (? [C] :  (v1_xreal_0(C) &  (r2_hidden(C, k10_prob_1(A)) & r1_xxreal_0(k1_fdiff_1(B, C), k5_numbers)) ) )  &  (? [C] :  (v1_xreal_0(C) &  (r2_hidden(C, k10_prob_1(A)) & r1_xxreal_0(k5_numbers, k1_fdiff_1(B, C))) ) ) )  |  (v2_funct_1(k2_partfun1(k1_numbers, k1_numbers, B, k10_prob_1(A))) &  (r2_fdiff_1(k2_partfun2(k1_numbers, k1_numbers, k2_partfun1(k1_numbers, k1_numbers, B, k10_prob_1(A))), k1_relset_1(k1_numbers, k2_partfun2(k1_numbers, k1_numbers, k2_partfun1(k1_numbers, k1_numbers, B, k10_prob_1(A))))) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, k1_relset_1(k1_numbers, k2_partfun2(k1_numbers, k1_numbers, k2_partfun1(k1_numbers, k1_numbers, B, k10_prob_1(A))))) => k1_fdiff_1(k2_partfun2(k1_numbers, k1_numbers, k2_partfun1(k1_numbers, k1_numbers, B, k10_prob_1(A))), C)=k7_xcmplx_0(1, k1_fdiff_1(B, k1_funct_1(k2_partfun2(k1_numbers, k1_numbers, k2_partfun1(k1_numbers, k1_numbers, B, k10_prob_1(A))), C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_fdiff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v2_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (r1_tarski(k3_limfunc1(A), k1_relset_1(k1_numbers, B)) & r2_fdiff_1(B, k3_limfunc1(A)))  =>  ( ( (? [C] :  (v1_xreal_0(C) &  (r2_hidden(C, k3_limfunc1(A)) & r1_xxreal_0(k1_fdiff_1(B, C), k5_numbers)) ) )  &  (? [C] :  (v1_xreal_0(C) &  (r2_hidden(C, k3_limfunc1(A)) & r1_xxreal_0(k5_numbers, k1_fdiff_1(B, C))) ) ) )  |  (v2_funct_1(k2_partfun1(k1_numbers, k1_numbers, B, k3_limfunc1(A))) &  (r2_fdiff_1(k2_partfun2(k1_numbers, k1_numbers, k2_partfun1(k1_numbers, k1_numbers, B, k3_limfunc1(A))), k1_relset_1(k1_numbers, k2_partfun2(k1_numbers, k1_numbers, k2_partfun1(k1_numbers, k1_numbers, B, k3_limfunc1(A))))) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, k1_relset_1(k1_numbers, k2_partfun2(k1_numbers, k1_numbers, k2_partfun1(k1_numbers, k1_numbers, B, k3_limfunc1(A))))) => k1_fdiff_1(k2_partfun2(k1_numbers, k1_numbers, k2_partfun1(k1_numbers, k1_numbers, B, k3_limfunc1(A))), C)=k7_xcmplx_0(1, k1_fdiff_1(B, k1_funct_1(k2_partfun2(k1_numbers, k1_numbers, k2_partfun1(k1_numbers, k1_numbers, B, k3_limfunc1(A))), C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_fdiff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v2_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (r1_tarski(k2_rcomp_1(B, A), k1_relset_1(k1_numbers, C)) & r2_fdiff_1(C, k2_rcomp_1(B, A)))  =>  ( ( (? [D] :  (v1_xreal_0(D) &  (r2_hidden(D, k2_rcomp_1(B, A)) & r1_xxreal_0(k1_fdiff_1(C, D), k5_numbers)) ) )  &  (? [D] :  (v1_xreal_0(D) &  (r2_hidden(D, k2_rcomp_1(B, A)) & r1_xxreal_0(k5_numbers, k1_fdiff_1(C, D))) ) ) )  |  (v2_funct_1(k2_partfun1(k1_numbers, k1_numbers, C, k2_rcomp_1(B, A))) &  (r2_fdiff_1(k2_partfun2(k1_numbers, k1_numbers, k2_partfun1(k1_numbers, k1_numbers, C, k2_rcomp_1(B, A))), k1_relset_1(k1_numbers, k2_partfun2(k1_numbers, k1_numbers, k2_partfun1(k1_numbers, k1_numbers, C, k2_rcomp_1(B, A))))) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, k1_relset_1(k1_numbers, k2_partfun2(k1_numbers, k1_numbers, k2_partfun1(k1_numbers, k1_numbers, C, k2_rcomp_1(B, A))))) => k1_fdiff_1(k2_partfun2(k1_numbers, k1_numbers, k2_partfun1(k1_numbers, k1_numbers, C, k2_rcomp_1(B, A))), D)=k7_xcmplx_0(1, k1_fdiff_1(C, k1_funct_1(k2_partfun2(k1_numbers, k1_numbers, k2_partfun1(k1_numbers, k1_numbers, C, k2_rcomp_1(B, A))), D)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_fdiff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_fdiff_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v9_ordinal1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(C, k5_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v3_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (k2_relset_1(k1_numbers, D)=k1_tarski(A) &  (r1_tarski(k2_relset_1(k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, C, D)), k1_relset_1(k1_numbers, B)) & r1_tarski(k2_relset_1(k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k32_valued_1(k4_ordinal1, k1_numbers, C), D)), k1_relset_1(k1_numbers, B))) )  =>  (v2_comseq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, k26_valued_1(k4_ordinal1, k1_numbers, C, 2)), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, C), B), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, C), B)))) & k1_seq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, k26_valued_1(k4_ordinal1, k1_numbers, C, 2)), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, C), B), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, C), B))))=k1_fdiff_1(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_fdiff_2, axiom,  ( (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (? [B] :  (m1_subset_1(B, k4_ordinal1) &  (r1_xxreal_0(A, B) & p1_s1_fdiff_2(k3_funct_2(k4_ordinal1, k1_numbers, f1_s1_fdiff_2, B))) ) ) ) )  =>  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) &  (v5_valued_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) )  &  ( (! [B] :  (v7_ordinal1(B) => p1_s1_fdiff_2(k1_funct_1(k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k1_numbers, A, f1_s1_fdiff_2), B))) )  &  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ~ ( ( (! [C] :  (v1_xreal_0(C) =>  (C=k3_funct_2(k4_ordinal1, k1_numbers, f1_s1_fdiff_2, B) => p1_s1_fdiff_2(C)) ) )  &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ (B=k1_recdef_1(A, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_f1_s1_fdiff_2, axiom,  (v1_funct_1(f1_s1_fdiff_2) &  (v1_funct_2(f1_s1_fdiff_2, k4_ordinal1, k1_numbers) & m1_subset_1(f1_s1_fdiff_2, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ).
fof(t1_fdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(C, k5_numbers))  & r1_tarski(k1_rcomp_1(k6_xcmplx_0(B, C), B), k1_relset_1(k1_numbers, A))) ) )  &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) &  (v9_ordinal1(C) &  (v1_fdiff_1(C, k5_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v3_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ~ ( (k10_xtuple_0(D)=k1_tarski(B) &  (r1_tarski(k10_xtuple_0(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, C, D)), k1_relset_1(k1_numbers, A)) &  (! [E] :  (v7_ordinal1(E) =>  ~ (r1_xxreal_0(k5_numbers, k1_funct_1(C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_fdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(C, k5_numbers))  & r1_tarski(k1_rcomp_1(B, k2_xcmplx_0(B, C)), k1_relset_1(k1_numbers, A))) ) )  &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) &  (v9_ordinal1(C) &  (v1_fdiff_1(C, k5_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v3_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ~ ( (k10_xtuple_0(D)=k1_tarski(B) &  (r1_tarski(k10_xtuple_0(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, C, D)), k1_relset_1(k1_numbers, A)) &  (! [E] :  (v7_ordinal1(E) =>  ~ (r1_xxreal_0(k1_funct_1(C, E), k5_numbers)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_fdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  ( ( (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) &  (v9_ordinal1(C) &  (v1_fdiff_1(C, k5_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v3_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (k10_xtuple_0(D)=k1_tarski(B) &  (r1_tarski(k10_xtuple_0(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, C, D)), k1_relset_1(k1_numbers, A)) &  (! [E] :  (v7_ordinal1(E) =>  ~ (r1_xxreal_0(k5_numbers, k1_funct_1(C, E))) ) ) ) )  => v2_comseq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, C), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, C, D), A), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, D, A))))) ) ) ) )  & r1_tarski(k1_tarski(B), k1_relset_1(k1_numbers, A)))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) &  (v9_ordinal1(C) &  (v1_fdiff_1(C, k5_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) &  (v9_ordinal1(D) &  (v1_fdiff_1(D, k5_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v3_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (k10_xtuple_0(E)=k1_tarski(B) &  (r1_tarski(k10_xtuple_0(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, C, E)), k1_relset_1(k1_numbers, A)) &  ( (! [F] :  (v7_ordinal1(F) =>  ~ (r1_xxreal_0(k5_numbers, k1_funct_1(C, F))) ) )  &  (r1_tarski(k10_xtuple_0(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E)), k1_relset_1(k1_numbers, A)) &  (! [F] :  (v7_ordinal1(F) =>  ~ (r1_xxreal_0(k5_numbers, k1_funct_1(D, F))) ) ) ) ) ) )  => k1_seq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, C), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, C, E), A), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, A))))=k1_seq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), A), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, A))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_fdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  ( ( (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) &  (v9_ordinal1(C) &  (v1_fdiff_1(C, k5_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v3_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (k10_xtuple_0(D)=k1_tarski(B) &  (r1_tarski(k10_xtuple_0(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, C, D)), k1_relset_1(k1_numbers, A)) &  (! [E] :  (v7_ordinal1(E) =>  ~ (r1_xxreal_0(k1_funct_1(C, E), k5_numbers)) ) ) ) )  => v2_comseq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, C), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, C, D), A), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, D, A))))) ) ) ) )  & r1_tarski(k1_tarski(B), k1_relset_1(k1_numbers, A)))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) &  (v9_ordinal1(C) &  (v1_fdiff_1(C, k5_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) &  (v9_ordinal1(D) &  (v1_fdiff_1(D, k5_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v3_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (k10_xtuple_0(E)=k1_tarski(B) &  (r1_tarski(k10_xtuple_0(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, C, E)), k1_relset_1(k1_numbers, A)) &  (r1_tarski(k10_xtuple_0(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E)), k1_relset_1(k1_numbers, A)) &  ( (! [F] :  (v7_ordinal1(F) =>  ~ (r1_xxreal_0(k1_funct_1(C, F), k5_numbers)) ) )  &  (! [F] :  (v7_ordinal1(F) =>  ~ (r1_xxreal_0(k1_funct_1(D, F), k5_numbers)) ) ) ) ) ) )  => k1_seq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, C), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, C, E), A), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, A))))=k1_seq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), A), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, A))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_fdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (r1_fdiff_3(A, B) <=>  (r2_hidden(B, k1_relset_1(k1_numbers, A)) &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (r1_tarski(k10_xtuple_0(C), k9_subset_1(k1_numbers, k10_prob_1(B), k1_relset_1(k1_numbers, A))) &  (v2_comseq_2(C) & k1_seq_2(C)=B) )  =>  (v2_comseq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, C, A)) & k1_funct_1(A, B)=k1_seq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, C, A))) ) ) ) ) ) ) ) ) ) ).
fof(d2_fdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (r2_fdiff_3(A, B) <=>  (r2_hidden(B, k1_relset_1(k1_numbers, A)) &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (r1_tarski(k10_xtuple_0(C), k9_subset_1(k1_numbers, k3_limfunc1(B), k1_relset_1(k1_numbers, A))) &  (v2_comseq_2(C) & k1_seq_2(C)=B) )  =>  (v2_comseq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, C, A)) & k1_funct_1(A, B)=k1_seq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, C, A))) ) ) ) ) ) ) ) ) ) ).
fof(d3_fdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (r3_fdiff_3(A, B) <=>  ( (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(C, k5_numbers))  & r1_tarski(k1_rcomp_1(B, k2_xcmplx_0(B, C)), k1_relset_1(k1_numbers, A))) ) )  &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) &  (v9_ordinal1(C) &  (v1_fdiff_1(C, k5_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v3_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (k10_xtuple_0(D)=k1_tarski(B) &  (r1_tarski(k10_xtuple_0(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, C, D)), k1_relset_1(k1_numbers, A)) &  (! [E] :  (v7_ordinal1(E) =>  ~ (r1_xxreal_0(k1_funct_1(C, E), k5_numbers)) ) ) ) )  => v2_comseq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, C), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, C, D), A), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, D, A))))) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_fdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (r4_fdiff_3(A, B) <=>  ( (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(C, k5_numbers))  & r1_tarski(k1_rcomp_1(k6_xcmplx_0(B, C), B), k1_relset_1(k1_numbers, A))) ) )  &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) &  (v9_ordinal1(C) &  (v1_fdiff_1(C, k5_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v3_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (k10_xtuple_0(D)=k1_tarski(B) &  (r1_tarski(k10_xtuple_0(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, C, D)), k1_relset_1(k1_numbers, A)) &  (! [E] :  (v7_ordinal1(E) =>  ~ (r1_xxreal_0(k5_numbers, k1_funct_1(C, E))) ) ) ) )  => v2_comseq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, C), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, C, D), A), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, D, A))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_fdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (r4_fdiff_3(A, B) => r1_fdiff_3(A, B)) ) ) ) ) ).
fof(t6_fdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( (r1_fdiff_3(A, B) &  ( ~ (k1_funct_1(A, B)=C)  &  ( (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, k5_numbers))  & r1_tarski(k1_rcomp_1(k6_xcmplx_0(B, D), B), k1_relset_1(k1_numbers, A))) ) )  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (r1_tarski(k1_rcomp_1(k6_xcmplx_0(B, D), B), k1_relset_1(k1_numbers, A)) &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, k1_rcomp_1(k6_xcmplx_0(B, D), B)) & k1_funct_1(A, E)=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_fdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (r3_fdiff_3(A, B) => r2_fdiff_3(A, B)) ) ) ) ) ).
fof(t8_fdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( (r2_fdiff_3(A, B) &  ( ~ (k1_funct_1(A, B)=C)  &  ( (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, k5_numbers))  & r1_tarski(k1_rcomp_1(B, k2_xcmplx_0(B, D)), k1_relset_1(k1_numbers, A))) ) )  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (r1_tarski(k1_rcomp_1(B, k2_xcmplx_0(B, D)), k1_relset_1(k1_numbers, A)) &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, k1_rcomp_1(B, k2_xcmplx_0(B, D))) & k1_funct_1(A, E)=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_fdiff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r4_fdiff_3(B, A) =>  (! [C] :  (v1_xreal_0(C) =>  (C=k1_fdiff_3(A, B) <=>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) &  (v9_ordinal1(D) &  (v1_fdiff_1(D, k5_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v3_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (k10_xtuple_0(E)=k1_tarski(A) &  (r1_tarski(k10_xtuple_0(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E)), k1_relset_1(k1_numbers, B)) &  (! [F] :  (v7_ordinal1(F) =>  ~ (r1_xxreal_0(k5_numbers, k1_funct_1(D, F))) ) ) ) )  => C=k1_seq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), B), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, B))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_fdiff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r3_fdiff_3(B, A) =>  (! [C] :  (v1_xreal_0(C) =>  (C=k2_fdiff_3(A, B) <=>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) &  (v9_ordinal1(D) &  (v1_fdiff_1(D, k5_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v3_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (k10_xtuple_0(E)=k1_tarski(A) &  (r1_tarski(k10_xtuple_0(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E)), k1_relset_1(k1_numbers, B)) &  (! [F] :  (v7_ordinal1(F) =>  ~ (r1_xxreal_0(k1_funct_1(D, F), k5_numbers)) ) ) ) )  => C=k1_seq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), B), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, B))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_fdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( ( (r4_fdiff_3(A, B) & k1_fdiff_3(B, A)=C)  =>  ( (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, k5_numbers))  & r1_tarski(k1_rcomp_1(k6_xcmplx_0(B, D), B), k1_relset_1(k1_numbers, A))) ) )  &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) &  (v9_ordinal1(D) &  (v1_fdiff_1(D, k5_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v3_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (k10_xtuple_0(E)=k1_tarski(B) &  (r1_tarski(k10_xtuple_0(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E)), k1_relset_1(k1_numbers, A)) &  (! [F] :  (v7_ordinal1(F) =>  ~ (r1_xxreal_0(k5_numbers, k1_funct_1(D, F))) ) ) ) )  =>  (v2_comseq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), A), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, A)))) & k1_seq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), A), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, A))))=C) ) ) ) ) ) ) )  &  ( (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) &  (v9_ordinal1(D) &  (v1_fdiff_1(D, k5_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v3_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (k10_xtuple_0(E)=k1_tarski(B) &  (r1_tarski(k10_xtuple_0(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E)), k1_relset_1(k1_numbers, A)) &  (! [F] :  (v7_ordinal1(F) =>  ~ (r1_xxreal_0(k5_numbers, k1_funct_1(D, F))) ) ) ) )  =>  (v2_comseq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), A), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, A)))) & k1_seq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), A), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, A))))=C) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  & r1_tarski(k1_rcomp_1(k6_xcmplx_0(B, D), B), k1_relset_1(k1_numbers, A))) ) ) )  |  (r4_fdiff_3(A, B) & k1_fdiff_3(B, A)=C) ) ) ) ) ) ) ) ) ) ).
fof(t10_fdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  ( (r4_fdiff_3(A, C) & r4_fdiff_3(B, C))  =>  (r4_fdiff_3(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), C) & k1_fdiff_3(C, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B))=k2_xcmplx_0(k1_fdiff_3(C, A), k1_fdiff_3(C, B))) ) ) ) ) ) ) ) ).
fof(t11_fdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  ( (r4_fdiff_3(A, C) & r4_fdiff_3(B, C))  =>  (r4_fdiff_3(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), C) & k1_fdiff_3(C, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B))=k6_xcmplx_0(k1_fdiff_3(C, A), k1_fdiff_3(C, B))) ) ) ) ) ) ) ) ).
fof(t12_fdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  ( (r4_fdiff_3(A, C) & r4_fdiff_3(B, C))  =>  (r4_fdiff_3(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), C) & k1_fdiff_3(C, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B))=k2_xcmplx_0(k3_xcmplx_0(k1_fdiff_3(C, A), k1_funct_1(B, C)), k3_xcmplx_0(k1_fdiff_3(C, B), k1_funct_1(A, C)))) ) ) ) ) ) ) ) ).
fof(t13_fdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  ( (r4_fdiff_3(A, C) & r4_fdiff_3(B, C))  =>  (k1_funct_1(B, C)=k5_numbers |  (r4_fdiff_3(k3_rfunct_1(k1_numbers, k1_numbers, A, B), C) & k1_fdiff_3(C, k3_rfunct_1(k1_numbers, k1_numbers, A, B))=k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_3(C, A), k1_funct_1(B, C)), k3_xcmplx_0(k1_fdiff_3(C, B), k1_funct_1(A, C))), k1_square_1(k1_funct_1(B, C)))) ) ) ) ) ) ) ) ) ).
fof(t14_fdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (r4_fdiff_3(A, B) =>  (k1_funct_1(A, B)=k5_numbers |  (r4_fdiff_3(k6_rfunct_1(k1_numbers, k1_numbers, A), B) & k1_fdiff_3(B, k6_rfunct_1(k1_numbers, k1_numbers, A))=k4_xcmplx_0(k7_xcmplx_0(k1_fdiff_3(B, A), k1_square_1(k1_funct_1(A, B))))) ) ) ) ) ) ) ).
fof(t15_fdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( ( (r3_fdiff_3(A, B) & k2_fdiff_3(B, A)=C)  =>  ( (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, k5_numbers))  & r1_tarski(k1_rcomp_1(B, k2_xcmplx_0(B, D)), k1_relset_1(k1_numbers, A))) ) )  &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) &  (v9_ordinal1(D) &  (v1_fdiff_1(D, k5_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v3_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (k10_xtuple_0(E)=k1_tarski(B) &  (r1_tarski(k10_xtuple_0(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E)), k1_relset_1(k1_numbers, A)) &  (! [F] :  (v7_ordinal1(F) =>  ~ (r1_xxreal_0(k1_funct_1(D, F), k5_numbers)) ) ) ) )  =>  (v2_comseq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), A), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, A)))) & k1_seq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), A), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, A))))=C) ) ) ) ) ) ) )  &  ( (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) &  (v9_ordinal1(D) &  (v1_fdiff_1(D, k5_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v3_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (k10_xtuple_0(E)=k1_tarski(B) &  (r1_tarski(k10_xtuple_0(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E)), k1_relset_1(k1_numbers, A)) &  (! [F] :  (v7_ordinal1(F) =>  ~ (r1_xxreal_0(k1_funct_1(D, F), k5_numbers)) ) ) ) )  =>  (v2_comseq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), A), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, A)))) & k1_seq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), A), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, A))))=C) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  & r1_tarski(k1_rcomp_1(B, k2_xcmplx_0(B, D)), k1_relset_1(k1_numbers, A))) ) ) )  |  (r3_fdiff_3(A, B) & k2_fdiff_3(B, A)=C) ) ) ) ) ) ) ) ) ) ).
fof(t16_fdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  ( (r3_fdiff_3(A, C) & r3_fdiff_3(B, C))  =>  (r3_fdiff_3(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), C) & k2_fdiff_3(C, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B))=k2_xcmplx_0(k2_fdiff_3(C, A), k2_fdiff_3(C, B))) ) ) ) ) ) ) ) ).
fof(t17_fdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  ( (r3_fdiff_3(A, C) & r3_fdiff_3(B, C))  =>  (r3_fdiff_3(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), C) & k2_fdiff_3(C, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B))=k6_xcmplx_0(k2_fdiff_3(C, A), k2_fdiff_3(C, B))) ) ) ) ) ) ) ) ).
fof(t18_fdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  ( (r3_fdiff_3(A, C) & r3_fdiff_3(B, C))  =>  (r3_fdiff_3(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), C) & k2_fdiff_3(C, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B))=k2_xcmplx_0(k3_xcmplx_0(k2_fdiff_3(C, A), k1_funct_1(B, C)), k3_xcmplx_0(k2_fdiff_3(C, B), k1_funct_1(A, C)))) ) ) ) ) ) ) ) ).
fof(t19_fdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  ( (r3_fdiff_3(A, C) & r3_fdiff_3(B, C))  =>  (k1_funct_1(B, C)=k5_numbers |  (r3_fdiff_3(k3_rfunct_1(k1_numbers, k1_numbers, A, B), C) & k2_fdiff_3(C, k3_rfunct_1(k1_numbers, k1_numbers, A, B))=k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k2_fdiff_3(C, A), k1_funct_1(B, C)), k3_xcmplx_0(k2_fdiff_3(C, B), k1_funct_1(A, C))), k1_square_1(k1_funct_1(B, C)))) ) ) ) ) ) ) ) ) ).
fof(t20_fdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (r3_fdiff_3(A, B) =>  (k1_funct_1(A, B)=k5_numbers |  (r3_fdiff_3(k6_rfunct_1(k1_numbers, k1_numbers, A), B) & k2_fdiff_3(B, k6_rfunct_1(k1_numbers, k1_numbers, A))=k4_xcmplx_0(k7_xcmplx_0(k2_fdiff_3(B, A), k1_square_1(k1_funct_1(A, B))))) ) ) ) ) ) ) ).
fof(t21_fdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  ( (r3_fdiff_3(A, B) &  (r4_fdiff_3(A, B) & k2_fdiff_3(B, A)=k1_fdiff_3(B, A)) )  =>  (r1_fdiff_1(A, B) &  (k1_fdiff_1(A, B)=k2_fdiff_3(B, A) & k1_fdiff_1(A, B)=k1_fdiff_3(B, A)) ) ) ) ) ) ) ).
fof(t22_fdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (r1_fdiff_1(A, B) =>  (r3_fdiff_3(A, B) &  (r4_fdiff_3(A, B) &  (k1_fdiff_1(A, B)=k2_fdiff_3(B, A) & k1_fdiff_1(A, B)=k1_fdiff_3(B, A)) ) ) ) ) ) ) ) ).
fof(dt_k1_fdiff_3, axiom,  (! [A, B] :  ( (v1_xreal_0(A) &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => v1_xreal_0(k1_fdiff_3(A, B))) ) ).
fof(dt_k2_fdiff_3, axiom,  (! [A, B] :  ( (v1_xreal_0(A) &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => v1_xreal_0(k2_fdiff_3(A, B))) ) ).
fof(t1_fdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k3_taylor_1))) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) =>  (k1_funct_1(C, D)=k2_xcmplx_0(A, D) &  ~ (r1_xxreal_0(k1_funct_1(C, D), k5_numbers)) ) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k3_taylor_1), B) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k3_taylor_1), B), D)=k7_xcmplx_0(1, k2_xcmplx_0(A, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_fdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k3_taylor_1))) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) =>  (k1_funct_1(C, D)=k6_xcmplx_0(D, A) &  ~ (r1_xxreal_0(k1_funct_1(C, D), k5_numbers)) ) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k3_taylor_1), B) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k3_taylor_1), B), D)=k7_xcmplx_0(1, k6_xcmplx_0(D, A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_fdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k3_taylor_1)))) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) =>  (k1_funct_1(C, D)=k6_xcmplx_0(A, D) &  ~ (r1_xxreal_0(k1_funct_1(C, D), k5_numbers)) ) ) ) ) )  =>  (r2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k3_taylor_1)), B) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k3_taylor_1)), B), D)=k7_xcmplx_0(1, k6_xcmplx_0(A, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_fdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k26_valued_1(k1_numbers, k1_numbers, C, A)))) &  (C=k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k3_taylor_1) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) =>  (k1_funct_1(D, E)=k2_xcmplx_0(A, E) &  ~ (r1_xxreal_0(k1_funct_1(D, E), k5_numbers)) ) ) ) ) ) )  =>  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k26_valued_1(k1_numbers, k1_numbers, C, A)), B) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k26_valued_1(k1_numbers, k1_numbers, C, A)), B), E)=k7_xcmplx_0(E, k2_xcmplx_0(A, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_fdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, C, k3_xcmplx_0(2, A)), k1_partfun2(k1_numbers, B)))) &  (C=k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k3_taylor_1) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) =>  (k1_funct_1(D, E)=k2_xcmplx_0(A, E) &  ~ (r1_xxreal_0(k1_funct_1(D, E), k5_numbers)) ) ) ) ) ) )  =>  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, C, k3_xcmplx_0(2, A)), k1_partfun2(k1_numbers, B)), B) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, C, k3_xcmplx_0(2, A)), k1_partfun2(k1_numbers, B)), B), E)=k7_xcmplx_0(k6_xcmplx_0(A, E), k2_xcmplx_0(A, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_fdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k26_valued_1(k1_numbers, k1_numbers, C, k3_xcmplx_0(2, A))))) &  (C=k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k3_taylor_1) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) =>  (k1_funct_1(D, E)=k2_xcmplx_0(E, A) &  ~ (r1_xxreal_0(k1_funct_1(D, E), k5_numbers)) ) ) ) ) ) )  =>  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k26_valued_1(k1_numbers, k1_numbers, C, k3_xcmplx_0(2, A))), B) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k26_valued_1(k1_numbers, k1_numbers, C, k3_xcmplx_0(2, A))), B), E)=k7_xcmplx_0(k6_xcmplx_0(E, A), k2_xcmplx_0(E, A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_fdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k26_valued_1(k1_numbers, k1_numbers, C, k3_xcmplx_0(2, A))))) &  (C=k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k3_taylor_1) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) =>  (k1_funct_1(D, E)=k6_xcmplx_0(E, A) &  ~ (r1_xxreal_0(k1_funct_1(D, E), k5_numbers)) ) ) ) ) ) )  =>  (r2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k26_valued_1(k1_numbers, k1_numbers, C, k3_xcmplx_0(2, A))), B) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k26_valued_1(k1_numbers, k1_numbers, C, k3_xcmplx_0(2, A))), B), E)=k7_xcmplx_0(k2_xcmplx_0(E, A), k6_xcmplx_0(E, A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_fdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(C, k9_xtuple_0(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C), k26_valued_1(k1_numbers, k1_numbers, D, k6_xcmplx_0(A, B))))) &  (D=k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, E, k3_taylor_1) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, C) =>  (k1_funct_1(E, F)=k2_xcmplx_0(F, B) &  ~ (r1_xxreal_0(k1_funct_1(E, F), k5_numbers)) ) ) ) ) ) )  =>  (r2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C), k26_valued_1(k1_numbers, k1_numbers, D, k6_xcmplx_0(A, B))), C) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, C) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C), k26_valued_1(k1_numbers, k1_numbers, D, k6_xcmplx_0(A, B))), C), F)=k7_xcmplx_0(k2_xcmplx_0(F, A), k2_xcmplx_0(F, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_fdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(C, k9_xtuple_0(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C), k26_valued_1(k1_numbers, k1_numbers, D, k2_xcmplx_0(A, B))))) &  (D=k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, E, k3_taylor_1) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, C) =>  (k1_funct_1(E, F)=k6_xcmplx_0(F, B) &  ~ (r1_xxreal_0(k1_funct_1(E, F), k5_numbers)) ) ) ) ) ) )  =>  (r2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C), k26_valued_1(k1_numbers, k1_numbers, D, k2_xcmplx_0(A, B))), C) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, C) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C), k26_valued_1(k1_numbers, k1_numbers, D, k2_xcmplx_0(A, B))), C), F)=k7_xcmplx_0(k2_xcmplx_0(F, A), k6_xcmplx_0(F, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_fdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(C, k9_xtuple_0(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C), k26_valued_1(k1_numbers, k1_numbers, D, k2_xcmplx_0(A, B))))) &  (D=k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, E, k3_taylor_1) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, C) =>  (k1_funct_1(E, F)=k2_xcmplx_0(F, B) &  ~ (r1_xxreal_0(k1_funct_1(E, F), k5_numbers)) ) ) ) ) ) )  =>  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C), k26_valued_1(k1_numbers, k1_numbers, D, k2_xcmplx_0(A, B))), C) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, C) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C), k26_valued_1(k1_numbers, k1_numbers, D, k2_xcmplx_0(A, B))), C), F)=k7_xcmplx_0(k6_xcmplx_0(F, A), k2_xcmplx_0(F, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_fdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(C, k9_xtuple_0(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C), k26_valued_1(k1_numbers, k1_numbers, D, k6_xcmplx_0(B, A))))) &  (D=k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, E, k3_taylor_1) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, C) =>  (k1_funct_1(E, F)=k6_xcmplx_0(F, B) &  ~ (r1_xxreal_0(k1_funct_1(E, F), k5_numbers)) ) ) ) ) ) )  =>  (r2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C), k26_valued_1(k1_numbers, k1_numbers, D, k6_xcmplx_0(B, A))), C) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, C) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C), k26_valued_1(k1_numbers, k1_numbers, D, k6_xcmplx_0(B, A))), C), F)=k7_xcmplx_0(k6_xcmplx_0(F, A), k6_xcmplx_0(F, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_fdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(D, k9_xtuple_0(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, E, k26_valued_1(k1_numbers, k1_numbers, F, C)))) &  ( (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, D) => k1_funct_1(E, G)=k2_xcmplx_0(A, k3_xcmplx_0(B, G))) ) )  & F=k1_taylor_1(2)) )  =>  (r2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, E, k26_valued_1(k1_numbers, k1_numbers, F, C)), D) &  (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, D) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, E, k26_valued_1(k1_numbers, k1_numbers, F, C)), D), G)=k2_xcmplx_0(B, k3_xcmplx_0(k3_xcmplx_0(2, C), G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_fdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(D, k9_xtuple_0(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, E, k26_valued_1(k1_numbers, k1_numbers, F, C)), k3_taylor_1))) &  (F=k1_taylor_1(2) &  (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, D) =>  (k1_funct_1(E, G)=k2_xcmplx_0(A, k3_xcmplx_0(B, G)) &  ~ (r1_xxreal_0(k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, E, k26_valued_1(k1_numbers, k1_numbers, F, C)), G), k5_numbers)) ) ) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, E, k26_valued_1(k1_numbers, k1_numbers, F, C)), k3_taylor_1), D) &  (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, D) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, E, k26_valued_1(k1_numbers, k1_numbers, F, C)), k3_taylor_1), D), G)=k7_xcmplx_0(k2_xcmplx_0(B, k3_xcmplx_0(k3_xcmplx_0(2, C), G)), k2_xcmplx_0(k2_xcmplx_0(A, k3_xcmplx_0(B, G)), k3_xcmplx_0(C, k1_newton(G, 2))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_fdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(C)) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) =>  (k1_funct_1(C, D)=k2_xcmplx_0(A, D) &  ~ (k1_funct_1(C, D)=k5_numbers) ) ) ) ) )  =>  (r2_fdiff_1(k6_rfunct_1(k1_numbers, k1_numbers, C), B) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(k2_fdiff_1(k6_rfunct_1(k1_numbers, k1_numbers, C), B), D)=k4_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k2_xcmplx_0(A, D))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_fdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k26_valued_1(k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, C), k4_xcmplx_0(1)))) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) =>  (k1_funct_1(C, D)=k2_xcmplx_0(A, D) &  ~ (k1_funct_1(C, D)=k5_numbers) ) ) ) ) )  =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, C), k4_xcmplx_0(1)), B) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, C), k4_xcmplx_0(1)), B), D)=k7_xcmplx_0(1, k1_square_1(k2_xcmplx_0(A, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_fdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(C)) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) =>  (k1_funct_1(C, D)=k6_xcmplx_0(A, D) &  ~ (k1_funct_1(C, D)=k5_numbers) ) ) ) ) )  =>  (r2_fdiff_1(k6_rfunct_1(k1_numbers, k1_numbers, C), B) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(k2_fdiff_1(k6_rfunct_1(k1_numbers, k1_numbers, C), B), D)=k7_xcmplx_0(1, k1_square_1(k6_xcmplx_0(A, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_fdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D))) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) => k1_funct_1(C, E)=k1_square_1(A)) ) )  & D=k1_taylor_1(2)) )  =>  (r2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), B) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), B), E)=k3_xcmplx_0(2, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_fdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k3_taylor_1))) &  (D=k1_taylor_1(2) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) =>  (k1_funct_1(C, E)=k1_square_1(A) &  ~ (r1_xxreal_0(k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), E), k5_numbers)) ) ) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k3_taylor_1), B) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k3_taylor_1), B), E)=k7_xcmplx_0(k3_xcmplx_0(2, E), k2_xcmplx_0(k1_square_1(A), k1_newton(E, 2)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_fdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k3_taylor_1)))) &  (D=k1_taylor_1(2) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) =>  (k1_funct_1(C, E)=k1_square_1(A) &  ~ (r1_xxreal_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), E), k5_numbers)) ) ) ) ) ) )  =>  (r2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k3_taylor_1)), B) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k3_taylor_1)), B), E)=k7_xcmplx_0(k3_xcmplx_0(2, E), k6_xcmplx_0(k1_square_1(A), k1_newton(E, 2)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_fdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D))) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) => k1_funct_1(C, E)=A) ) )  & D=k1_taylor_1(3)) )  =>  (r2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), B) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), B), E)=k3_xcmplx_0(3, k1_newton(E, 2))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_fdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k3_taylor_1))) &  (D=k1_taylor_1(3) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) =>  (k1_funct_1(C, E)=A &  ~ (r1_xxreal_0(k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), E), k5_numbers)) ) ) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k3_taylor_1), B) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k3_taylor_1), B), E)=k7_xcmplx_0(k3_xcmplx_0(3, k1_newton(E, 2)), k2_xcmplx_0(A, k1_newton(E, 3)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_fdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, C, D), k3_taylor_1))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) =>  (k1_funct_1(C, E)=k2_xcmplx_0(A, E) &  ( ~ (r1_xxreal_0(k1_funct_1(C, E), k5_numbers))  &  (k1_funct_1(D, E)=k6_xcmplx_0(A, E) &  ~ (r1_xxreal_0(k1_funct_1(D, E), k5_numbers)) ) ) ) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, C, D), k3_taylor_1), B) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, C, D), k3_taylor_1), B), E)=k7_xcmplx_0(k3_xcmplx_0(2, A), k6_xcmplx_0(k1_square_1(A), k1_square_1(E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_fdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, C, D), k3_taylor_1))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) =>  (k1_funct_1(C, E)=k6_xcmplx_0(E, A) &  ( ~ (r1_xxreal_0(k1_funct_1(C, E), k5_numbers))  &  (k1_funct_1(D, E)=k2_xcmplx_0(E, A) &  ~ (r1_xxreal_0(k1_funct_1(D, E), k5_numbers)) ) ) ) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, C, D), k3_taylor_1), B) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, C, D), k3_taylor_1), B), E)=k7_xcmplx_0(k3_xcmplx_0(2, A), k6_xcmplx_0(k1_square_1(E), k1_square_1(A)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_fdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(C, k9_xtuple_0(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, D, E), k3_taylor_1))) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, C) =>  (k1_funct_1(D, F)=k6_xcmplx_0(F, A) &  ( ~ (r1_xxreal_0(k1_funct_1(D, F), k5_numbers))  &  (k1_funct_1(E, F)=k6_xcmplx_0(F, B) &  ~ (r1_xxreal_0(k1_funct_1(E, F), k5_numbers)) ) ) ) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, D, E), k3_taylor_1), C) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, C) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, D, E), k3_taylor_1), C), F)=k7_xcmplx_0(k6_xcmplx_0(A, B), k3_xcmplx_0(k6_xcmplx_0(F, A), k6_xcmplx_0(F, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_fdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(C, k9_xtuple_0(k26_valued_1(k1_numbers, k1_numbers, D, k7_xcmplx_0(1, k6_xcmplx_0(A, B))))) &  (D=k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, E, F), k3_taylor_1) &  (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, C) =>  (k1_funct_1(E, G)=k6_xcmplx_0(G, A) &  ( ~ (r1_xxreal_0(k1_funct_1(E, G), k5_numbers))  &  (k1_funct_1(F, G)=k6_xcmplx_0(G, B) &  ( ~ (r1_xxreal_0(k1_funct_1(F, G), k5_numbers))  &  ~ (k6_xcmplx_0(A, B)=k5_numbers) ) ) ) ) ) ) ) ) )  =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, D, k7_xcmplx_0(1, k6_xcmplx_0(A, B))), C) &  (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, C) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, D, k7_xcmplx_0(1, k6_xcmplx_0(A, B))), C), G)=k7_xcmplx_0(1, k3_xcmplx_0(k6_xcmplx_0(G, A), k6_xcmplx_0(G, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_fdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, C, D), k3_taylor_1))) &  (D=k1_taylor_1(2) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) =>  (k1_funct_1(C, E)=k6_xcmplx_0(E, A) &  ( ~ (r1_xxreal_0(k1_funct_1(C, E), k5_numbers))  &  ( ~ (r1_xxreal_0(k1_funct_1(D, E), k5_numbers))  &  ~ (E=k5_numbers) ) ) ) ) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, C, D), k3_taylor_1), B) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, C, D), k3_taylor_1), B), E)=k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(2, A), E), k3_xcmplx_0(E, k6_xcmplx_0(E, A)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_fdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(3, 2))))) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) =>  (k1_funct_1(C, D)=k2_xcmplx_0(A, D) &  ~ (r1_xxreal_0(k1_funct_1(C, D), k5_numbers)) ) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(3, 2))), B) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(3, 2))), B), D)=k3_xcmplx_0(k7_xcmplx_0(3, 2), k6_prepower(k2_xcmplx_0(A, D), k7_xcmplx_0(1, 2)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_fdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(3, 2))), k7_xcmplx_0(2, 3)))) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) =>  (k1_funct_1(C, D)=k2_xcmplx_0(A, D) &  ~ (r1_xxreal_0(k1_funct_1(C, D), k5_numbers)) ) ) ) ) )  =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(3, 2))), k7_xcmplx_0(2, 3)), B) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(3, 2))), k7_xcmplx_0(2, 3)), B), D)=k6_prepower(k2_xcmplx_0(A, D), k7_xcmplx_0(1, 2))) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_fdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(3, 2))), k4_xcmplx_0(k7_xcmplx_0(2, 3))))) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) =>  (k1_funct_1(C, D)=k6_xcmplx_0(A, D) &  ~ (r1_xxreal_0(k1_funct_1(C, D), k5_numbers)) ) ) ) ) )  =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(3, 2))), k4_xcmplx_0(k7_xcmplx_0(2, 3))), B) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(3, 2))), k4_xcmplx_0(k7_xcmplx_0(2, 3))), B), D)=k6_prepower(k6_xcmplx_0(A, D), k7_xcmplx_0(1, 2))) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_fdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(1, 2))), 2))) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) =>  (k1_funct_1(C, D)=k2_xcmplx_0(A, D) &  ~ (r1_xxreal_0(k1_funct_1(C, D), k5_numbers)) ) ) ) ) )  =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(1, 2))), 2), B) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(1, 2))), 2), B), D)=k6_prepower(k2_xcmplx_0(A, D), k4_xcmplx_0(k7_xcmplx_0(1, 2)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_fdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(1, 2))), k4_xcmplx_0(2)))) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) =>  (k1_funct_1(C, D)=k6_xcmplx_0(A, D) &  ~ (r1_xxreal_0(k1_funct_1(C, D), k5_numbers)) ) ) ) ) )  =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(1, 2))), k4_xcmplx_0(2)), B) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(1, 2))), k4_xcmplx_0(2)), B), D)=k6_prepower(k6_xcmplx_0(A, D), k4_xcmplx_0(k7_xcmplx_0(1, 2)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_fdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(C, k9_xtuple_0(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k4_taylor_1(k7_xcmplx_0(3, 2))), k7_xcmplx_0(2, k3_xcmplx_0(3, B))))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) =>  (k1_funct_1(D, E)=k2_xcmplx_0(A, k3_xcmplx_0(B, E)) &  ( ~ (B=k5_numbers)  &  ~ (r1_xxreal_0(k1_funct_1(D, E), k5_numbers)) ) ) ) ) ) )  =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k4_taylor_1(k7_xcmplx_0(3, 2))), k7_xcmplx_0(2, k3_xcmplx_0(3, B))), C) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k4_taylor_1(k7_xcmplx_0(3, 2))), k7_xcmplx_0(2, k3_xcmplx_0(3, B))), C), E)=k6_prepower(k2_xcmplx_0(A, k3_xcmplx_0(B, E)), k7_xcmplx_0(1, 2))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_fdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(C, k9_xtuple_0(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k4_taylor_1(k7_xcmplx_0(3, 2))), k4_xcmplx_0(k7_xcmplx_0(2, k3_xcmplx_0(3, B)))))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) =>  (k1_funct_1(D, E)=k6_xcmplx_0(A, k3_xcmplx_0(B, E)) &  ( ~ (B=k5_numbers)  &  ~ (r1_xxreal_0(k1_funct_1(D, E), k5_numbers)) ) ) ) ) ) )  =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k4_taylor_1(k7_xcmplx_0(3, 2))), k4_xcmplx_0(k7_xcmplx_0(2, k3_xcmplx_0(3, B)))), C) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k4_taylor_1(k7_xcmplx_0(3, 2))), k4_xcmplx_0(k7_xcmplx_0(2, k3_xcmplx_0(3, B)))), C), E)=k6_prepower(k6_xcmplx_0(A, k3_xcmplx_0(B, E)), k7_xcmplx_0(1, 2))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_fdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(1, 2))))) &  (C=k3_valued_1(k1_numbers, k1_numbers, k1_numbers, D, E) &  (E=k1_taylor_1(2) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, B) =>  (k1_funct_1(D, F)=k1_square_1(A) &  ~ (r1_xxreal_0(k1_funct_1(C, F), k5_numbers)) ) ) ) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(1, 2))), B) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, B) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(1, 2))), B), F)=k3_xcmplx_0(F, k6_prepower(k2_xcmplx_0(k1_square_1(A), k1_newton(F, 2)), k4_xcmplx_0(k7_xcmplx_0(1, 2))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_fdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(1, 2)))))) &  (C=k47_valued_1(k1_numbers, k1_numbers, k1_numbers, D, E) &  (E=k1_taylor_1(2) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, B) =>  (k1_funct_1(D, F)=k1_square_1(A) &  ~ (r1_xxreal_0(k1_funct_1(C, F), k5_numbers)) ) ) ) ) ) ) )  =>  (r2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(1, 2)))), B) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, B) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(1, 2)))), B), F)=k3_xcmplx_0(F, k6_prepower(k6_xcmplx_0(k1_square_1(A), k1_newton(F, 2)), k4_xcmplx_0(k7_xcmplx_0(1, 2))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_fdiff_4, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_xtuple_0(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k4_taylor_1(k7_xcmplx_0(1, 2))), 2))) &  (B=k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D) &  (D=k1_taylor_1(2) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, A) =>  (k1_funct_1(C, E)=E &  ~ (r1_xxreal_0(k1_funct_1(B, E), k5_numbers)) ) ) ) ) ) ) )  =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k4_taylor_1(k7_xcmplx_0(1, 2))), 2), A) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, A) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k4_taylor_1(k7_xcmplx_0(1, 2))), 2), A), E)=k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2, E), 1), k6_prepower(k2_xcmplx_0(k1_newton(E, 2), E), k4_xcmplx_0(k7_xcmplx_0(1, 2))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_fdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(C, k9_xtuple_0(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k16_sin_cos))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) => k1_funct_1(D, E)=k2_xcmplx_0(k3_xcmplx_0(A, E), B)) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k16_sin_cos), C) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k16_sin_cos), C), E)=k3_xcmplx_0(A, k1_funct_1(k18_sin_cos, k2_xcmplx_0(k3_xcmplx_0(A, E), B)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_fdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(C, k9_xtuple_0(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k18_sin_cos))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) => k1_funct_1(D, E)=k2_xcmplx_0(k3_xcmplx_0(A, E), B)) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k18_sin_cos), C) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k18_sin_cos), C), E)=k4_xcmplx_0(k3_xcmplx_0(A, k1_funct_1(k16_sin_cos, k2_xcmplx_0(k3_xcmplx_0(A, E), B))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_fdiff_4, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (! [B] :  (v1_xreal_0(B) =>  ~ ( (r2_hidden(B, A) & k1_funct_1(k18_sin_cos, B)=k5_numbers) ) ) )  =>  (r2_fdiff_1(k6_rfunct_1(k1_numbers, k1_numbers, k18_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k6_rfunct_1(k1_numbers, k1_numbers, k18_sin_cos), A), B)=k7_xcmplx_0(k1_funct_1(k16_sin_cos, B), k1_square_1(k1_funct_1(k18_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t40_fdiff_4, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (! [B] :  (v1_xreal_0(B) =>  ~ ( (r2_hidden(B, A) & k1_funct_1(k16_sin_cos, B)=k5_numbers) ) ) )  =>  (r2_fdiff_1(k6_rfunct_1(k1_numbers, k1_numbers, k16_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k6_rfunct_1(k1_numbers, k1_numbers, k16_sin_cos), A), B)=k4_xcmplx_0(k7_xcmplx_0(k1_funct_1(k18_sin_cos, B), k1_square_1(k1_funct_1(k16_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t41_fdiff_4, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k9_xtuple_0(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos))) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), A), B)=k19_sin_cos(k3_xcmplx_0(2, B))) ) ) ) ) ) ) ).
fof(t42_fdiff_4, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k9_xtuple_0(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k3_taylor_1))) &  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r2_hidden(B, A) & r1_xxreal_0(k1_funct_1(k18_sin_cos, B), k5_numbers)) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k3_taylor_1), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k3_taylor_1), A), B)=k4_xcmplx_0(k1_sin_cos4(B))) ) ) ) ) ) ) ).
fof(t43_fdiff_4, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k9_xtuple_0(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k3_taylor_1))) &  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r2_hidden(B, A) & r1_xxreal_0(k1_funct_1(k16_sin_cos, B), k5_numbers)) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k3_taylor_1), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k3_taylor_1), A), B)=k2_sin_cos4(B)) ) ) ) ) ) ) ).
fof(t44_fdiff_4, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k9_xtuple_0(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k18_sin_cos))) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k18_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k18_sin_cos), A), B)=k2_xcmplx_0(k4_xcmplx_0(k1_funct_1(k18_sin_cos, B)), k3_xcmplx_0(B, k1_funct_1(k16_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t45_fdiff_4, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k9_xtuple_0(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k16_sin_cos))) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k16_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k16_sin_cos), A), B)=k2_xcmplx_0(k1_funct_1(k16_sin_cos, B), k3_xcmplx_0(B, k1_funct_1(k18_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t46_fdiff_4, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k9_xtuple_0(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k18_sin_cos), k16_sin_cos))) =>  (r2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k18_sin_cos), k16_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k18_sin_cos), k16_sin_cos), A), B)=k3_xcmplx_0(B, k1_funct_1(k16_sin_cos, B))) ) ) ) ) ) ) ).
fof(t47_fdiff_4, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k9_xtuple_0(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k16_sin_cos), k18_sin_cos))) =>  (r2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k16_sin_cos), k18_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k16_sin_cos), k18_sin_cos), A), B)=k3_xcmplx_0(B, k1_funct_1(k18_sin_cos, B))) ) ) ) ) ) ) ).
fof(t48_fdiff_4, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k9_xtuple_0(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k4_taylor_1(k7_xcmplx_0(1, 2))), 2))) &  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r2_hidden(B, A) & r1_xxreal_0(k1_funct_1(k16_sin_cos, B), k5_numbers)) ) ) ) )  =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k4_taylor_1(k7_xcmplx_0(1, 2))), 2), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k4_taylor_1(k7_xcmplx_0(1, 2))), 2), A), B)=k3_xcmplx_0(k1_funct_1(k18_sin_cos, B), k6_prepower(k1_funct_1(k16_sin_cos, B), k4_xcmplx_0(k7_xcmplx_0(1, 2))))) ) ) ) ) ) ) ).
fof(t49_fdiff_4, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k9_xtuple_0(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_taylor_1(2)), k7_xcmplx_0(1, 2)))) =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_taylor_1(2)), k7_xcmplx_0(1, 2)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_taylor_1(2)), k7_xcmplx_0(1, 2)), A), B)=k3_xcmplx_0(k1_funct_1(k16_sin_cos, B), k1_funct_1(k18_sin_cos, B))) ) ) ) ) ) ) ).
fof(t50_fdiff_4, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k9_xtuple_0(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_taylor_1(2)), k7_xcmplx_0(1, 2))))) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) =>  ( ~ (r1_xxreal_0(k1_funct_1(k16_sin_cos, B), k5_numbers))  &  ~ (r1_xxreal_0(1, k1_funct_1(k16_sin_cos, B))) ) ) ) ) )  =>  (r2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_taylor_1(2)), k7_xcmplx_0(1, 2))), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_taylor_1(2)), k7_xcmplx_0(1, 2))), A), B)=k7_xcmplx_0(k1_newton(k1_funct_1(k18_sin_cos, B), 3), k6_xcmplx_0(1, k1_funct_1(k16_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t51_fdiff_4, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k9_xtuple_0(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_taylor_1(2)), k7_xcmplx_0(1, 2)), k18_sin_cos))) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) =>  ( ~ (r1_xxreal_0(k1_funct_1(k16_sin_cos, B), k5_numbers))  &  ~ (r1_xxreal_0(1, k1_funct_1(k18_sin_cos, B))) ) ) ) ) )  =>  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_taylor_1(2)), k7_xcmplx_0(1, 2)), k18_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_taylor_1(2)), k7_xcmplx_0(1, 2)), k18_sin_cos), A), B)=k7_xcmplx_0(k1_newton(k1_funct_1(k16_sin_cos, B), 3), k6_xcmplx_0(1, k1_funct_1(k18_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t52_fdiff_4, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k9_xtuple_0(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_taylor_1(2)), k7_xcmplx_0(1, 2))))) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) =>  ( ~ (r1_xxreal_0(k1_funct_1(k16_sin_cos, B), k5_numbers))  &  ~ (r1_xxreal_0(k1_funct_1(k16_sin_cos, B), k4_xcmplx_0(1))) ) ) ) ) )  =>  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_taylor_1(2)), k7_xcmplx_0(1, 2))), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_taylor_1(2)), k7_xcmplx_0(1, 2))), A), B)=k7_xcmplx_0(k1_newton(k1_funct_1(k18_sin_cos, B), 3), k2_xcmplx_0(1, k1_funct_1(k16_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t53_fdiff_4, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k9_xtuple_0(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k18_sin_cos), k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_taylor_1(2)), k7_xcmplx_0(1, 2))))) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) =>  ( ~ (r1_xxreal_0(k1_funct_1(k16_sin_cos, B), k5_numbers))  &  ~ (r1_xxreal_0(k1_funct_1(k18_sin_cos, B), k4_xcmplx_0(1))) ) ) ) ) )  =>  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k18_sin_cos), k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_taylor_1(2)), k7_xcmplx_0(1, 2))), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k18_sin_cos), k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_taylor_1(2)), k7_xcmplx_0(1, 2))), A), B)=k7_xcmplx_0(k1_newton(k1_funct_1(k16_sin_cos, B), 3), k2_xcmplx_0(1, k1_funct_1(k18_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t54_fdiff_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(B, k9_xtuple_0(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_taylor_1(A)), k7_xcmplx_0(1, A)))) =>  (r1_xxreal_0(A, k5_numbers) |  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_taylor_1(A)), k7_xcmplx_0(1, A)), B) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, B) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_taylor_1(A)), k7_xcmplx_0(1, A)), B), C)=k3_xcmplx_0(k3_prepower(k1_funct_1(k16_sin_cos, C), k6_xcmplx_0(A, 1)), k1_funct_1(k18_sin_cos, C))) ) ) ) ) ) ) ) ) ) ).
fof(t55_fdiff_4, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_xtuple_0(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, B))) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(B, C)=k6_xcmplx_0(C, 1)) ) ) )  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, B), A) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, B), A), C)=k3_xcmplx_0(C, k1_funct_1(k22_sin_cos, C))) ) ) ) ) ) ) ) ) ).
fof(t56_fdiff_4, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_xtuple_0(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k22_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, B)), k3_taylor_1))) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(B, C)=1) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k22_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, B)), k3_taylor_1), A) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k22_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, B)), k3_taylor_1), A), C)=k7_xcmplx_0(1, k2_xcmplx_0(k1_funct_1(k22_sin_cos, C), 1))) ) ) ) ) ) ) ) ) ).
fof(t57_fdiff_4, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_xtuple_0(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, B), k22_sin_cos), k3_taylor_1))) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) =>  (k1_funct_1(B, C)=1 &  ~ (r1_xxreal_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, B), C), k5_numbers)) ) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, B), k22_sin_cos), k3_taylor_1), A) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, B), k22_sin_cos), k3_taylor_1), A), C)=k7_xcmplx_0(1, k6_xcmplx_0(k1_funct_1(k22_sin_cos, C), 1))) ) ) ) ) ) ) ) ) ).
fof(t1_fdiff_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k3_rfunct_1(k1_numbers, k1_numbers, C, D))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) =>  (k1_funct_1(C, E)=k2_xcmplx_0(A, E) &  (k1_funct_1(D, E)=k6_xcmplx_0(A, E) &  ~ (k1_funct_1(D, E)=k5_numbers) ) ) ) ) ) )  =>  (r2_fdiff_1(k3_rfunct_1(k1_numbers, k1_numbers, C, D), B) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) => k1_funct_1(k2_fdiff_1(k3_rfunct_1(k1_numbers, k1_numbers, C, D), B), E)=k7_xcmplx_0(k3_xcmplx_0(2, A), k1_square_1(k6_xcmplx_0(A, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_fdiff_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k3_rfunct_1(k1_numbers, k1_numbers, C, D))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) =>  (k1_funct_1(C, E)=k6_xcmplx_0(E, A) &  (k1_funct_1(D, E)=k2_xcmplx_0(E, A) &  ~ (k1_funct_1(D, E)=k5_numbers) ) ) ) ) ) )  =>  (r2_fdiff_1(k3_rfunct_1(k1_numbers, k1_numbers, C, D), B) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) => k1_funct_1(k2_fdiff_1(k3_rfunct_1(k1_numbers, k1_numbers, C, D), B), E)=k7_xcmplx_0(k3_xcmplx_0(2, A), k1_square_1(k2_xcmplx_0(E, A)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_fdiff_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(C, k9_xtuple_0(k3_rfunct_1(k1_numbers, k1_numbers, D, E))) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, C) =>  (k1_funct_1(D, F)=k6_xcmplx_0(F, A) &  (k1_funct_1(E, F)=k6_xcmplx_0(F, B) &  ~ (k1_funct_1(E, F)=k5_numbers) ) ) ) ) ) )  =>  (r2_fdiff_1(k3_rfunct_1(k1_numbers, k1_numbers, D, E), C) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, C) => k1_funct_1(k2_fdiff_1(k3_rfunct_1(k1_numbers, k1_numbers, D, E), C), F)=k7_xcmplx_0(k6_xcmplx_0(A, B), k1_square_1(k6_xcmplx_0(F, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_fdiff_5, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( ~ (r2_tarski(k5_numbers, A))  =>  (r2_fdiff_1(k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), A), B)=k4_xcmplx_0(k7_xcmplx_0(1, k1_square_1(B)))) ) ) ) ) ) ) ).
fof(t5_fdiff_5, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( ~ (r2_tarski(k5_numbers, A))  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k16_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k16_sin_cos), A), B)=k4_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1, k1_square_1(B)), k1_funct_1(k18_sin_cos, k7_xcmplx_0(1, B))))) ) ) ) ) ) ) ).
fof(t6_fdiff_5, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k9_xtuple_0(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k18_sin_cos))) =>  (r2_tarski(k5_numbers, A) |  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k18_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k18_sin_cos), A), B)=k3_xcmplx_0(k7_xcmplx_0(1, k1_square_1(B)), k1_funct_1(k16_sin_cos, k7_xcmplx_0(1, B)))) ) ) ) ) ) ) ) ).
fof(t7_fdiff_5, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k9_xtuple_0(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k16_sin_cos)))) =>  (r2_tarski(k5_numbers, A) |  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k16_sin_cos)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k16_sin_cos)), A), B)=k6_xcmplx_0(k1_funct_1(k16_sin_cos, k7_xcmplx_0(1, B)), k3_xcmplx_0(k7_xcmplx_0(1, B), k1_funct_1(k18_sin_cos, k7_xcmplx_0(1, B))))) ) ) ) ) ) ) ) ).
fof(t8_fdiff_5, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k9_xtuple_0(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k18_sin_cos)))) =>  (r2_tarski(k5_numbers, A) |  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k18_sin_cos)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k18_sin_cos)), A), B)=k2_xcmplx_0(k1_funct_1(k18_sin_cos, k7_xcmplx_0(1, B)), k3_xcmplx_0(k7_xcmplx_0(1, B), k1_funct_1(k16_sin_cos, k7_xcmplx_0(1, B))))) ) ) ) ) ) ) ) ).
fof(t9_fdiff_5, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k9_xtuple_0(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k16_sin_cos), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k18_sin_cos)))) =>  (r2_tarski(k5_numbers, A) |  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k16_sin_cos), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k18_sin_cos)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k16_sin_cos), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k18_sin_cos)), A), B)=k3_xcmplx_0(k7_xcmplx_0(1, k1_square_1(B)), k6_xcmplx_0(k1_square_1(k1_funct_1(k16_sin_cos, k7_xcmplx_0(1, B))), k1_square_1(k1_funct_1(k18_sin_cos, k7_xcmplx_0(1, B)))))) ) ) ) ) ) ) ) ).
fof(t10_fdiff_5, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k16_sin_cos), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_taylor_1(A))))) &  (r1_xxreal_0(1, A) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(C, D)=k3_xcmplx_0(A, D)) ) ) ) )  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k16_sin_cos), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_taylor_1(A))), B) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k16_sin_cos), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_taylor_1(A))), B), D)=k3_xcmplx_0(k3_xcmplx_0(A, k3_prepower(k1_funct_1(k16_sin_cos, D), k6_xcmplx_0(A, 1))), k1_funct_1(k16_sin_cos, k3_xcmplx_0(k2_xcmplx_0(A, 1), D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_fdiff_5, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k18_sin_cos), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_taylor_1(A))))) &  (r1_xxreal_0(1, A) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(C, D)=k3_xcmplx_0(A, D)) ) ) ) )  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k18_sin_cos), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_taylor_1(A))), B) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k18_sin_cos), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_taylor_1(A))), B), D)=k3_xcmplx_0(k3_xcmplx_0(A, k3_prepower(k1_funct_1(k16_sin_cos, D), k6_xcmplx_0(A, 1))), k1_funct_1(k18_sin_cos, k3_xcmplx_0(k2_xcmplx_0(A, 1), D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_fdiff_5, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k18_sin_cos), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k1_taylor_1(A))))) &  (r1_xxreal_0(1, A) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(C, D)=k3_xcmplx_0(A, D)) ) ) ) )  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k18_sin_cos), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k1_taylor_1(A))), B) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k18_sin_cos), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k1_taylor_1(A))), B), D)=k4_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(A, k3_prepower(k1_funct_1(k18_sin_cos, D), k6_xcmplx_0(A, 1))), k1_funct_1(k16_sin_cos, k3_xcmplx_0(k2_xcmplx_0(A, 1), D))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_fdiff_5, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k16_sin_cos), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k1_taylor_1(A))))) &  (r1_xxreal_0(1, A) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(C, D)=k3_xcmplx_0(A, D)) ) ) ) )  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k16_sin_cos), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k1_taylor_1(A))), B) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k16_sin_cos), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k1_taylor_1(A))), B), D)=k3_xcmplx_0(k3_xcmplx_0(A, k3_prepower(k1_funct_1(k18_sin_cos, D), k6_xcmplx_0(A, 1))), k1_funct_1(k18_sin_cos, k3_xcmplx_0(k2_xcmplx_0(A, 1), D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_fdiff_5, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k9_xtuple_0(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k16_sin_cos))) =>  (r2_tarski(k5_numbers, A) |  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k16_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k16_sin_cos), A), B)=k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1, B), k1_funct_1(k18_sin_cos, B)), k3_xcmplx_0(k7_xcmplx_0(1, k1_square_1(B)), k1_funct_1(k16_sin_cos, B)))) ) ) ) ) ) ) ) ).
fof(t15_fdiff_5, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k9_xtuple_0(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k18_sin_cos))) =>  (r2_tarski(k5_numbers, A) |  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k18_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k18_sin_cos), A), B)=k6_xcmplx_0(k4_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1, B), k1_funct_1(k16_sin_cos, B))), k3_xcmplx_0(k7_xcmplx_0(1, k1_square_1(B)), k1_funct_1(k18_sin_cos, B)))) ) ) ) ) ) ) ) ).
fof(t16_fdiff_5, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k9_xtuple_0(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k4_taylor_1(k7_xcmplx_0(1, 2))))) =>  (r2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k4_taylor_1(k7_xcmplx_0(1, 2))), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k4_taylor_1(k7_xcmplx_0(1, 2))), A), B)=k2_xcmplx_0(k1_funct_1(k18_sin_cos, B), k3_xcmplx_0(k7_xcmplx_0(1, 2), k6_prepower(B, k4_xcmplx_0(k7_xcmplx_0(1, 2)))))) ) ) ) ) ) ) ).
fof(t17_fdiff_5, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_xtuple_0(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k16_sin_cos)))) & B=k1_taylor_1(2))  =>  (r2_tarski(k5_numbers, A) |  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k16_sin_cos)), A) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k16_sin_cos)), A), C)=k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, C), k1_funct_1(k16_sin_cos, k7_xcmplx_0(1, C))), k1_funct_1(k18_sin_cos, k7_xcmplx_0(1, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t18_fdiff_5, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_xtuple_0(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k18_sin_cos)))) & B=k1_taylor_1(2))  =>  (r2_tarski(k5_numbers, A) |  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k18_sin_cos)), A) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k18_sin_cos)), A), C)=k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, C), k1_funct_1(k18_sin_cos, k7_xcmplx_0(1, C))), k1_funct_1(k16_sin_cos, k7_xcmplx_0(1, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t19_fdiff_5, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k9_xtuple_0(k3_taylor_1)) =>  (r2_fdiff_1(k3_taylor_1, A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k3_taylor_1, A), B)=k7_xcmplx_0(1, B)) ) ) ) ) ) ) ).
fof(t20_fdiff_5, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k9_xtuple_0(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k3_taylor_1))) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k3_taylor_1), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k3_taylor_1), A), B)=k2_xcmplx_0(1, k1_funct_1(k3_taylor_1, B))) ) ) ) ) ) ) ).
fof(t21_fdiff_5, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_xtuple_0(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k3_taylor_1))) &  (B=k1_taylor_1(2) &  (! [C] :  (v1_xreal_0(C) =>  ~ ( (r2_hidden(C, A) & r1_xxreal_0(C, k5_numbers)) ) ) ) ) )  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k3_taylor_1), A) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k3_taylor_1), A), C)=k2_xcmplx_0(C, k3_xcmplx_0(k3_xcmplx_0(2, C), k1_funct_1(k3_taylor_1, C)))) ) ) ) ) ) ) ) ) ).
fof(t22_fdiff_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k3_rfunct_1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D)))) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) => k1_funct_1(C, E)=A) ) )  &  (D=k1_taylor_1(2) &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, B) & r1_xxreal_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), E), k5_numbers)) ) ) ) ) ) )  =>  (r2_fdiff_1(k3_rfunct_1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D)), B) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) => k1_funct_1(k2_fdiff_1(k3_rfunct_1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D)), B), E)=k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(4, A), E), k1_newton(k6_xcmplx_0(A, k1_newton(E, 2)), 2))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_fdiff_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D)), k3_taylor_1))) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) => k1_funct_1(C, E)=A) ) )  &  (D=k1_taylor_1(2) &  ( (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, B) & r1_xxreal_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), E), k5_numbers)) ) ) )  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, B) & r1_xxreal_0(k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), E), k5_numbers)) ) ) ) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D)), k3_taylor_1), B) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D)), k3_taylor_1), B), E)=k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(4, A), E), k6_xcmplx_0(k1_newton(A, 2), k1_newton(E, 4)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_fdiff_5, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k9_xtuple_0(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k3_taylor_1))) &  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r2_hidden(B, A) & r1_xxreal_0(B, k5_numbers)) ) ) ) )  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k3_taylor_1), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k3_taylor_1), A), B)=k3_xcmplx_0(k7_xcmplx_0(1, k1_square_1(B)), k6_xcmplx_0(1, k1_funct_1(k3_taylor_1, B)))) ) ) ) ) ) ) ).
fof(t25_fdiff_5, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k9_xtuple_0(k6_rfunct_1(k1_numbers, k1_numbers, k3_taylor_1))) &  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r2_hidden(B, A) & k1_funct_1(k3_taylor_1, B)=k5_numbers) ) ) ) )  =>  (r2_fdiff_1(k6_rfunct_1(k1_numbers, k1_numbers, k3_taylor_1), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k6_rfunct_1(k1_numbers, k1_numbers, k3_taylor_1), A), B)=k4_xcmplx_0(k7_xcmplx_0(1, k3_xcmplx_0(B, k1_square_1(k1_funct_1(k3_taylor_1, B)))))) ) ) ) ) ) ) ).
fof(t1_fdiff_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  => k1_funct_1(k22_sin_cos, k3_xcmplx_0(A, k3_power(k4_power, B)))=k6_prepower(B, A)) ) ) ) ) ).
fof(t2_fdiff_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  => k1_funct_1(k22_sin_cos, k4_xcmplx_0(k3_xcmplx_0(A, k3_power(k4_power, B))))=k6_prepower(B, k4_xcmplx_0(A))) ) ) ) ) ).
fof(t3_fdiff_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D))) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) => k1_funct_1(C, E)=k1_square_1(A)) ) )  & D=k1_taylor_1(2)) )  =>  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), B) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), B), E)=k4_xcmplx_0(k3_xcmplx_0(2, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_fdiff_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k3_rfunct_1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D)))) &  (D=k1_taylor_1(2) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) =>  (k1_funct_1(C, E)=k1_square_1(A) &  ~ (k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), E)=k5_numbers) ) ) ) ) ) )  =>  (r2_fdiff_1(k3_rfunct_1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D)), B) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) => k1_funct_1(k2_fdiff_1(k3_rfunct_1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D)), B), E)=k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(4, k1_square_1(A)), E), k1_square_1(k6_xcmplx_0(k1_square_1(A), k1_newton(E, 2))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_fdiff_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(C)) &  (C=k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, D, E), k47_valued_1(k1_numbers, k1_numbers, k1_numbers, D, E)), k3_taylor_1) &  (E=k1_taylor_1(2) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, B) =>  (k1_funct_1(D, F)=k1_square_1(A) &  ( ~ (r1_xxreal_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, D, E), F), k5_numbers))  &  ~ (A=k5_numbers) ) ) ) ) ) ) ) )  =>  (r2_fdiff_1(C, B) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, B) => k1_funct_1(k2_fdiff_1(C, B), F)=k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(4, k1_square_1(A)), F), k6_xcmplx_0(k1_newton(A, 4), k1_newton(F, 4)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_fdiff_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k26_valued_1(k1_numbers, k1_numbers, C, k7_xcmplx_0(1, k3_xcmplx_0(4, k1_square_1(A)))))) &  (C=k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, D, E), k47_valued_1(k1_numbers, k1_numbers, k1_numbers, D, E)), k3_taylor_1) &  (E=k1_taylor_1(2) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, B) =>  (k1_funct_1(D, F)=k1_square_1(A) &  ( ~ (r1_xxreal_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, D, E), F), k5_numbers))  &  ~ (A=k5_numbers) ) ) ) ) ) ) ) )  =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, C, k7_xcmplx_0(1, k3_xcmplx_0(4, k1_square_1(A)))), B) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, B) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, C, k7_xcmplx_0(1, k3_xcmplx_0(4, k1_square_1(A)))), B), F)=k7_xcmplx_0(F, k6_xcmplx_0(k1_newton(A, 4), k1_newton(F, 4)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_fdiff_6, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_xtuple_0(k3_rfunct_1(k1_numbers, k1_numbers, B, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, B)))) &  (B=k1_taylor_1(2) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, A) =>  (k1_funct_1(C, D)=1 &  ~ (D=k5_numbers) ) ) ) ) ) )  =>  (r2_fdiff_1(k3_rfunct_1(k1_numbers, k1_numbers, B, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, B)), A) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, A) => k1_funct_1(k2_fdiff_1(k3_rfunct_1(k1_numbers, k1_numbers, B, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, B)), A), D)=k7_xcmplx_0(k3_xcmplx_0(2, D), k1_square_1(k2_xcmplx_0(1, k1_square_1(D))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_fdiff_6, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_xtuple_0(k26_valued_1(k1_numbers, k1_numbers, B, k7_xcmplx_0(1, 2)))) &  (B=k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, C, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, D, C)), k3_taylor_1) &  (C=k1_taylor_1(2) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, A) =>  (k1_funct_1(D, E)=1 &  ~ (E=k5_numbers) ) ) ) ) ) ) )  =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, B, k7_xcmplx_0(1, 2)), A) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, A) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, B, k7_xcmplx_0(1, 2)), A), E)=k7_xcmplx_0(1, k3_xcmplx_0(E, k2_xcmplx_0(1, k1_square_1(E))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_fdiff_6, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, k9_xtuple_0(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_taylor_1(A), k3_taylor_1))) &  (! [C] :  (v1_xreal_0(C) =>  ~ ( (r2_hidden(C, B) & r1_xxreal_0(C, k5_numbers)) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_taylor_1(A), k3_taylor_1), B) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, B) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_taylor_1(A), k3_taylor_1), B), C)=k7_xcmplx_0(A, C)) ) ) ) ) ) ) ) ) ).
fof(t10_fdiff_6, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_xtuple_0(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, C), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, B, C), k3_taylor_1)))) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, A) =>  (k1_funct_1(C, D)=D &  ( ~ (r1_xxreal_0(k1_funct_1(C, D), k5_numbers))  &  (k1_funct_1(B, D)=k6_xcmplx_0(D, 1) &  ~ (r1_xxreal_0(k1_funct_1(B, D), k5_numbers)) ) ) ) ) ) ) )  =>  (r2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, C), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, B, C), k3_taylor_1)), A) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, A) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, C), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, B, C), k3_taylor_1)), A), D)=k7_xcmplx_0(1, k3_xcmplx_0(k1_square_1(D), k6_xcmplx_0(D, 1)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_fdiff_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k22_sin_cos))) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(C, D)=k3_xcmplx_0(D, k3_power(k4_power, A))) ) ) )  =>  (r1_xxreal_0(A, k5_numbers) |  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k22_sin_cos), B) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k22_sin_cos), B), D)=k3_xcmplx_0(k6_prepower(A, D), k3_power(k4_power, A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_fdiff_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k26_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k22_sin_cos), D), k7_xcmplx_0(1, k3_power(k4_power, A))))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) =>  (k1_funct_1(C, E)=k3_xcmplx_0(E, k3_power(k4_power, A)) & k1_funct_1(D, E)=k6_xcmplx_0(E, k7_xcmplx_0(1, k3_power(k4_power, A)))) ) ) ) )  =>  (r1_xxreal_0(A, k5_numbers) |  (A=1 |  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k22_sin_cos), D), k7_xcmplx_0(1, k3_power(k4_power, A))), B) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k22_sin_cos), D), k7_xcmplx_0(1, k3_power(k4_power, A))), B), E)=k3_xcmplx_0(E, k6_prepower(A, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_fdiff_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k26_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k22_sin_cos), k22_sin_cos), k7_xcmplx_0(1, k2_xcmplx_0(1, k3_power(k4_power, A)))))) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(C, D)=k3_xcmplx_0(D, k3_power(k4_power, A))) ) ) )  =>  (r1_xxreal_0(A, k5_numbers) |  (A=k7_xcmplx_0(1, k4_power) |  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k22_sin_cos), k22_sin_cos), k7_xcmplx_0(1, k2_xcmplx_0(1, k3_power(k4_power, A)))), B) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k22_sin_cos), k22_sin_cos), k7_xcmplx_0(1, k2_xcmplx_0(1, k3_power(k4_power, A)))), B), D)=k3_xcmplx_0(k6_prepower(A, D), k1_funct_1(k22_sin_cos, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_fdiff_6, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_xtuple_0(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k22_sin_cos))) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(B, C)=k4_xcmplx_0(C)) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k22_sin_cos), A) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k22_sin_cos), A), C)=k4_xcmplx_0(k23_sin_cos(k4_xcmplx_0(C)))) ) ) ) ) ) ) ) ) ).
fof(t15_fdiff_6, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_xtuple_0(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k22_sin_cos)))) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, A) =>  (k1_funct_1(B, D)=k6_xcmplx_0(k4_xcmplx_0(D), 1) & k1_funct_1(C, D)=k4_xcmplx_0(D)) ) ) ) )  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k22_sin_cos)), A) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k22_sin_cos)), A), D)=k7_xcmplx_0(D, k23_sin_cos(D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_fdiff_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k22_sin_cos)))) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(C, D)=k4_xcmplx_0(k3_xcmplx_0(D, k3_power(k4_power, A)))) ) ) )  =>  (r1_xxreal_0(A, k5_numbers) |  (r2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k22_sin_cos)), B) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k22_sin_cos)), B), D)=k3_xcmplx_0(k6_prepower(A, k4_xcmplx_0(D)), k3_power(k4_power, A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_fdiff_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k26_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k22_sin_cos)), D), k7_xcmplx_0(1, k3_power(k4_power, A))))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) =>  (k1_funct_1(C, E)=k4_xcmplx_0(k3_xcmplx_0(E, k3_power(k4_power, A))) & k1_funct_1(D, E)=k2_xcmplx_0(E, k7_xcmplx_0(1, k3_power(k4_power, A)))) ) ) ) )  =>  (r1_xxreal_0(A, k5_numbers) |  (A=1 |  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k22_sin_cos)), D), k7_xcmplx_0(1, k3_power(k4_power, A))), B) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k22_sin_cos)), D), k7_xcmplx_0(1, k3_power(k4_power, A))), B), E)=k7_xcmplx_0(E, k6_prepower(A, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_fdiff_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k26_valued_1(k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k22_sin_cos), k22_sin_cos), k7_xcmplx_0(1, k6_xcmplx_0(k3_power(k4_power, A), 1))))) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(C, D)=k3_xcmplx_0(D, k3_power(k4_power, A))) ) ) )  =>  (r1_xxreal_0(A, k5_numbers) |  (A=k4_power |  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k22_sin_cos), k22_sin_cos), k7_xcmplx_0(1, k6_xcmplx_0(k3_power(k4_power, A), 1))), B) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k22_sin_cos), k22_sin_cos), k7_xcmplx_0(1, k6_xcmplx_0(k3_power(k4_power, A), 1))), B), D)=k7_xcmplx_0(k6_prepower(A, D), k1_funct_1(k22_sin_cos, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_fdiff_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k26_valued_1(k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k22_sin_cos, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k22_sin_cos)), k7_xcmplx_0(1, k6_xcmplx_0(1, k3_power(k4_power, A)))))) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(C, D)=k3_xcmplx_0(D, k3_power(k4_power, A))) ) ) )  =>  (r1_xxreal_0(A, k5_numbers) |  (A=k4_power |  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k22_sin_cos, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k22_sin_cos)), k7_xcmplx_0(1, k6_xcmplx_0(1, k3_power(k4_power, A)))), B) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k22_sin_cos, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k22_sin_cos)), k7_xcmplx_0(1, k6_xcmplx_0(1, k3_power(k4_power, A)))), B), D)=k7_xcmplx_0(k1_funct_1(k22_sin_cos, D), k6_prepower(A, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_fdiff_6, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_xtuple_0(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, B), k3_taylor_1))) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(B, C)=1) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, B), k3_taylor_1), A) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, B), k3_taylor_1), A), C)=k7_xcmplx_0(k1_funct_1(k22_sin_cos, C), k2_xcmplx_0(k1_funct_1(k22_sin_cos, C), 1))) ) ) ) ) ) ) ) ) ).
fof(t21_fdiff_6, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_xtuple_0(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, B), k3_taylor_1))) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) =>  (k1_funct_1(B, C)=1 &  ~ (r1_xxreal_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, B), C), k5_numbers)) ) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, B), k3_taylor_1), A) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, B), k3_taylor_1), A), C)=k7_xcmplx_0(k1_funct_1(k22_sin_cos, C), k6_xcmplx_0(k1_funct_1(k22_sin_cos, C), 1))) ) ) ) ) ) ) ) ) ).
fof(t22_fdiff_6, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_xtuple_0(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k22_sin_cos), k3_taylor_1)))) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) =>  (k1_funct_1(B, C)=1 &  ~ (r1_xxreal_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k22_sin_cos), C), k5_numbers)) ) ) ) ) )  =>  (r2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k22_sin_cos), k3_taylor_1)), A) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k22_sin_cos), k3_taylor_1)), A), C)=k7_xcmplx_0(k1_funct_1(k22_sin_cos, C), k6_xcmplx_0(1, k1_funct_1(k22_sin_cos, C)))) ) ) ) ) ) ) ) ) ).
fof(t23_fdiff_6, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_xtuple_0(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k1_taylor_1(2)), B))) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(B, C)=1) ) ) )  =>  (r2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k1_taylor_1(2)), B), A) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k1_taylor_1(2)), B), A), C)=k3_xcmplx_0(2, k23_sin_cos(k3_xcmplx_0(2, C)))) ) ) ) ) ) ) ) ) ).
fof(t24_fdiff_6, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_xtuple_0(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k3_taylor_1), k7_xcmplx_0(1, 2)))) &  (B=k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k1_taylor_1(2)), C) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, A) => k1_funct_1(C, D)=1) ) ) ) )  =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k3_taylor_1), k7_xcmplx_0(1, 2)), A) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, A) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k3_taylor_1), k7_xcmplx_0(1, 2)), A), D)=k7_xcmplx_0(k23_sin_cos(D), k2_xcmplx_0(k23_sin_cos(D), k23_sin_cos(k4_xcmplx_0(D))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_fdiff_6, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_xtuple_0(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k1_taylor_1(2)), B))) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(B, C)=1) ) ) )  =>  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k1_taylor_1(2)), B), A) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k1_taylor_1(2)), B), A), C)=k3_xcmplx_0(2, k23_sin_cos(k3_xcmplx_0(2, C)))) ) ) ) ) ) ) ) ) ).
fof(t26_fdiff_6, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_xtuple_0(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k3_taylor_1), k7_xcmplx_0(1, 2)))) &  (B=k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k1_taylor_1(2)), C) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, A) =>  (k1_funct_1(C, D)=1 &  ~ (r1_xxreal_0(k1_funct_1(B, D), k5_numbers)) ) ) ) ) ) )  =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k3_taylor_1), k7_xcmplx_0(1, 2)), A) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, A) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k3_taylor_1), k7_xcmplx_0(1, 2)), A), D)=k7_xcmplx_0(k23_sin_cos(D), k6_xcmplx_0(k23_sin_cos(D), k23_sin_cos(k4_xcmplx_0(D))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_fdiff_6, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_xtuple_0(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, B), k1_taylor_1(2)))) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(B, C)=1) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, B), k1_taylor_1(2)), A) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, B), k1_taylor_1(2)), A), C)=k3_xcmplx_0(k3_xcmplx_0(2, k1_funct_1(k22_sin_cos, C)), k6_xcmplx_0(k1_funct_1(k22_sin_cos, C), 1))) ) ) ) ) ) ) ) ) ).
fof(t28_fdiff_6, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_xtuple_0(B)) &  (B=k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, C), k1_taylor_1(2)), k22_sin_cos), k3_taylor_1) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, A) =>  (k1_funct_1(C, D)=1 &  ~ (r1_xxreal_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, C), D), k5_numbers)) ) ) ) ) ) )  =>  (r2_fdiff_1(B, A) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, A) => k1_funct_1(k2_fdiff_1(B, A), D)=k7_xcmplx_0(k2_xcmplx_0(k1_funct_1(k22_sin_cos, D), 1), k6_xcmplx_0(k1_funct_1(k22_sin_cos, D), 1))) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_fdiff_6, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_xtuple_0(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, B), k1_taylor_1(2)))) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(B, C)=1) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, B), k1_taylor_1(2)), A) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, B), k1_taylor_1(2)), A), C)=k3_xcmplx_0(k3_xcmplx_0(2, k1_funct_1(k22_sin_cos, C)), k2_xcmplx_0(k1_funct_1(k22_sin_cos, C), 1))) ) ) ) ) ) ) ) ) ).
fof(t30_fdiff_6, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_xtuple_0(B)) &  (B=k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, C), k1_taylor_1(2)), k22_sin_cos), k3_taylor_1) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, A) => k1_funct_1(C, D)=1) ) ) ) )  =>  (r2_fdiff_1(B, A) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, A) => k1_funct_1(k2_fdiff_1(B, A), D)=k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(k22_sin_cos, D), 1), k2_xcmplx_0(k1_funct_1(k22_sin_cos, D), 1))) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_fdiff_6, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_xtuple_0(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k22_sin_cos), k1_taylor_1(2)))) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(B, C)=1) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k22_sin_cos), k1_taylor_1(2)), A) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k22_sin_cos), k1_taylor_1(2)), A), C)=k4_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, k1_funct_1(k22_sin_cos, C)), k6_xcmplx_0(1, k1_funct_1(k22_sin_cos, C))))) ) ) ) ) ) ) ) ) ).
fof(t32_fdiff_6, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_xtuple_0(B)) &  (B=k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k22_sin_cos, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, k22_sin_cos), k1_taylor_1(2))), k3_taylor_1) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, A) =>  (k1_funct_1(C, D)=1 &  ~ (r1_xxreal_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, k22_sin_cos), D), k5_numbers)) ) ) ) ) ) )  =>  (r2_fdiff_1(B, A) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, A) => k1_funct_1(k2_fdiff_1(B, A), D)=k7_xcmplx_0(k2_xcmplx_0(1, k1_funct_1(k22_sin_cos, D)), k6_xcmplx_0(1, k1_funct_1(k22_sin_cos, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_fdiff_6, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_xtuple_0(B)) &  (B=k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k22_sin_cos, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, k22_sin_cos), k1_taylor_1(2))), k3_taylor_1) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, A) => k1_funct_1(C, D)=1) ) ) ) )  =>  (r2_fdiff_1(B, A) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, A) => k1_funct_1(k2_fdiff_1(B, A), D)=k7_xcmplx_0(k6_xcmplx_0(1, k1_funct_1(k22_sin_cos, D)), k2_xcmplx_0(1, k1_funct_1(k22_sin_cos, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_fdiff_6, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_xtuple_0(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k3_taylor_1))) &  (B=k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k22_sin_cos)) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, A) => k1_funct_1(C, D)=k4_xcmplx_0(D)) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k3_taylor_1), A) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k3_taylor_1), A), D)=k7_xcmplx_0(k6_xcmplx_0(k23_sin_cos(D), k23_sin_cos(k4_xcmplx_0(D))), k2_xcmplx_0(k23_sin_cos(D), k23_sin_cos(k4_xcmplx_0(D))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_fdiff_6, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_xtuple_0(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k3_taylor_1))) &  (B=k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k22_sin_cos)) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, A) =>  (k1_funct_1(C, D)=k4_xcmplx_0(D) &  ~ (r1_xxreal_0(k1_funct_1(B, D), k5_numbers)) ) ) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k3_taylor_1), A) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k3_taylor_1), A), D)=k7_xcmplx_0(k2_xcmplx_0(k23_sin_cos(D), k23_sin_cos(k4_xcmplx_0(D))), k6_xcmplx_0(k23_sin_cos(D), k23_sin_cos(k4_xcmplx_0(D))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_fdiff_6, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_xtuple_0(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k22_sin_cos), k4_taylor_1(k7_xcmplx_0(3, 2))), k7_xcmplx_0(2, 3)))) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(B, C)=1) ) ) )  =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k22_sin_cos), k4_taylor_1(k7_xcmplx_0(3, 2))), k7_xcmplx_0(2, 3)), A) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k22_sin_cos), k4_taylor_1(k7_xcmplx_0(3, 2))), k7_xcmplx_0(2, 3)), A), C)=k3_xcmplx_0(k1_funct_1(k22_sin_cos, C), k6_prepower(k2_xcmplx_0(1, k1_funct_1(k22_sin_cos, C)), k7_xcmplx_0(1, 2)))) ) ) ) ) ) ) ) ) ).
fof(t37_fdiff_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k22_sin_cos)), k4_taylor_1(k7_xcmplx_0(3, 2))), k7_xcmplx_0(2, k3_xcmplx_0(3, k3_power(k4_power, A)))))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) =>  (k1_funct_1(C, E)=1 & k1_funct_1(D, E)=k3_xcmplx_0(E, k3_power(k4_power, A))) ) ) ) )  =>  (r1_xxreal_0(A, k5_numbers) |  (A=1 |  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k22_sin_cos)), k4_taylor_1(k7_xcmplx_0(3, 2))), k7_xcmplx_0(2, k3_xcmplx_0(3, k3_power(k4_power, A)))), B) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k22_sin_cos)), k4_taylor_1(k7_xcmplx_0(3, 2))), k7_xcmplx_0(2, k3_xcmplx_0(3, k3_power(k4_power, A)))), B), E)=k3_xcmplx_0(k6_prepower(A, E), k6_prepower(k2_xcmplx_0(1, k6_prepower(A, E)), k7_xcmplx_0(1, 2)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_fdiff_6, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_xtuple_0(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k18_sin_cos), k4_xcmplx_0(k7_xcmplx_0(1, 2))))) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(B, C)=k3_xcmplx_0(2, C)) ) ) )  =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k18_sin_cos), k4_xcmplx_0(k7_xcmplx_0(1, 2))), A) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k18_sin_cos), k4_xcmplx_0(k7_xcmplx_0(1, 2))), A), C)=k17_sin_cos(k3_xcmplx_0(2, C))) ) ) ) ) ) ) ) ) ).
fof(t39_fdiff_6, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_xtuple_0(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k18_sin_cos), k4_taylor_1(k7_xcmplx_0(1, 2))), 2))) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) =>  (k1_funct_1(B, C)=1 &  ( ~ (r1_xxreal_0(k1_funct_1(k16_sin_cos, C), k5_numbers))  &  ( ~ (r1_xxreal_0(1, k1_funct_1(k18_sin_cos, C)))  &  ~ (r1_xxreal_0(k1_funct_1(k18_sin_cos, C), k4_xcmplx_0(1))) ) ) ) ) ) ) )  =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k18_sin_cos), k4_taylor_1(k7_xcmplx_0(1, 2))), 2), A) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k18_sin_cos), k4_taylor_1(k7_xcmplx_0(1, 2))), 2), A), C)=k6_prepower(k2_xcmplx_0(1, k1_funct_1(k18_sin_cos, C)), k7_xcmplx_0(1, 2))) ) ) ) ) ) ) ) ) ).
fof(t40_fdiff_6, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_xtuple_0(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k18_sin_cos), k4_taylor_1(k7_xcmplx_0(1, 2))), k4_xcmplx_0(2)))) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) =>  (k1_funct_1(B, C)=1 &  ( ~ (r1_xxreal_0(k1_funct_1(k16_sin_cos, C), k5_numbers))  &  ( ~ (r1_xxreal_0(1, k1_funct_1(k18_sin_cos, C)))  &  ~ (r1_xxreal_0(k1_funct_1(k18_sin_cos, C), k4_xcmplx_0(1))) ) ) ) ) ) ) )  =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k18_sin_cos), k4_taylor_1(k7_xcmplx_0(1, 2))), k4_xcmplx_0(2)), A) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k18_sin_cos), k4_taylor_1(k7_xcmplx_0(1, 2))), k4_xcmplx_0(2)), A), C)=k6_prepower(k6_xcmplx_0(1, k1_funct_1(k18_sin_cos, C)), k7_xcmplx_0(1, 2))) ) ) ) ) ) ) ) ) ).
fof(t41_fdiff_6, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_xtuple_0(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k3_taylor_1), k7_xcmplx_0(1, 2)))) &  (B=k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, k26_valued_1(k1_numbers, k1_numbers, k16_sin_cos, 2)) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, A) =>  (k1_funct_1(C, D)=1 &  ~ (r1_xxreal_0(k1_funct_1(B, D), k5_numbers)) ) ) ) ) ) )  =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k3_taylor_1), k7_xcmplx_0(1, 2)), A) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, A) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k3_taylor_1), k7_xcmplx_0(1, 2)), A), D)=k7_xcmplx_0(k1_funct_1(k18_sin_cos, D), k2_xcmplx_0(1, k3_xcmplx_0(2, k1_funct_1(k16_sin_cos, D))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_fdiff_6, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_xtuple_0(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k3_taylor_1), k4_xcmplx_0(k7_xcmplx_0(1, 2))))) &  (B=k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, k26_valued_1(k1_numbers, k1_numbers, k18_sin_cos, 2)) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, A) =>  (k1_funct_1(C, D)=1 &  ~ (r1_xxreal_0(k1_funct_1(B, D), k5_numbers)) ) ) ) ) ) )  =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k3_taylor_1), k4_xcmplx_0(k7_xcmplx_0(1, 2))), A) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, A) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k3_taylor_1), k4_xcmplx_0(k7_xcmplx_0(1, 2))), A), D)=k7_xcmplx_0(k1_funct_1(k16_sin_cos, D), k2_xcmplx_0(1, k3_xcmplx_0(2, k1_funct_1(k18_sin_cos, D))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_fdiff_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k16_sin_cos), k7_xcmplx_0(1, k3_xcmplx_0(4, A))))) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(C, D)=k3_xcmplx_0(k3_xcmplx_0(2, A), D)) ) ) )  =>  (A=k5_numbers |  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k16_sin_cos), k7_xcmplx_0(1, k3_xcmplx_0(4, A))), B) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k16_sin_cos), k7_xcmplx_0(1, k3_xcmplx_0(4, A))), B), D)=k3_xcmplx_0(k7_xcmplx_0(1, 2), k19_sin_cos(k3_xcmplx_0(k3_xcmplx_0(2, A), D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_fdiff_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, D, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k16_sin_cos), k7_xcmplx_0(1, k3_xcmplx_0(4, A)))))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) =>  (k1_funct_1(D, E)=k7_xcmplx_0(E, 2) & k1_funct_1(C, E)=k3_xcmplx_0(k3_xcmplx_0(2, A), E)) ) ) ) )  =>  (A=k5_numbers |  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, D, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k16_sin_cos), k7_xcmplx_0(1, k3_xcmplx_0(4, A)))), B) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, D, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k16_sin_cos), k7_xcmplx_0(1, k3_xcmplx_0(4, A)))), B), E)=k1_square_1(k17_sin_cos(k3_xcmplx_0(A, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_fdiff_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, D, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k16_sin_cos), k7_xcmplx_0(1, k3_xcmplx_0(4, A)))))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) =>  (k1_funct_1(D, E)=k7_xcmplx_0(E, 2) & k1_funct_1(C, E)=k3_xcmplx_0(k3_xcmplx_0(2, A), E)) ) ) ) )  =>  (A=k5_numbers |  (r2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, D, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k16_sin_cos), k7_xcmplx_0(1, k3_xcmplx_0(4, A)))), B) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, D, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k16_sin_cos), k7_xcmplx_0(1, k3_xcmplx_0(4, A)))), B), E)=k1_square_1(k19_sin_cos(k3_xcmplx_0(A, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_fdiff_6, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(B, k9_xtuple_0(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k1_taylor_1(A)), k7_xcmplx_0(1, A)))) =>  (r1_xxreal_0(A, k5_numbers) |  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k1_taylor_1(A)), k7_xcmplx_0(1, A)), B) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, B) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k1_taylor_1(A)), k7_xcmplx_0(1, A)), B), C)=k4_xcmplx_0(k3_xcmplx_0(k3_prepower(k1_funct_1(k18_sin_cos, C), k6_xcmplx_0(A, 1)), k1_funct_1(k16_sin_cos, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t47_fdiff_6, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k9_xtuple_0(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k1_taylor_1(3)), k7_xcmplx_0(1, 3)), k18_sin_cos))) =>  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k1_taylor_1(3)), k7_xcmplx_0(1, 3)), k18_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k1_taylor_1(3)), k7_xcmplx_0(1, 3)), k18_sin_cos), A), B)=k1_newton(k1_funct_1(k16_sin_cos, B), 3)) ) ) ) ) ) ) ).
fof(t48_fdiff_6, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k9_xtuple_0(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_taylor_1(3)), k7_xcmplx_0(1, 3))))) =>  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_taylor_1(3)), k7_xcmplx_0(1, 3))), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_taylor_1(3)), k7_xcmplx_0(1, 3))), A), B)=k1_newton(k1_funct_1(k18_sin_cos, B), 3)) ) ) ) ) ) ) ).
fof(t49_fdiff_6, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k9_xtuple_0(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k16_sin_cos))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k16_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k16_sin_cos), A), B)=k7_xcmplx_0(k1_funct_1(k18_sin_cos, k3_power(k4_power, B)), B)) ) ) ) ) ) ) ).
fof(t50_fdiff_6, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k9_xtuple_0(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k18_sin_cos)))) =>  (r2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k18_sin_cos)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k18_sin_cos)), A), B)=k7_xcmplx_0(k1_funct_1(k16_sin_cos, k3_power(k4_power, B)), B)) ) ) ) ) ) ) ).
fof(t1_fdiff_7, axiom,  (! [A] :  (v1_xreal_0(A) => k3_prepower(A, 2)=k1_square_1(A)) ) ).
fof(t2_fdiff_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k6_prepower(A, k7_xcmplx_0(1, 2))=k3_square_1(A)) ) ) ).
fof(t3_fdiff_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k6_prepower(A, k4_xcmplx_0(k7_xcmplx_0(1, 2)))=k7_xcmplx_0(1, k3_square_1(A))) ) ) ).
fof(t4_fdiff_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, k2_rcomp_1(k4_xcmplx_0(1), 1)) & r1_tarski(B, k1_relset_1(k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_sin_cos6, A))))  =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_sin_cos6, A), B) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, B) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_sin_cos6, A), B), C)=k7_xcmplx_0(A, k3_square_1(k6_xcmplx_0(1, k1_square_1(C))))) ) ) ) ) ) ) ) ) ).
fof(t5_fdiff_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, k2_rcomp_1(k4_xcmplx_0(1), 1)) & r1_tarski(B, k1_relset_1(k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k3_sin_cos6, A))))  =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k3_sin_cos6, A), B) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, B) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k3_sin_cos6, A), B), C)=k4_xcmplx_0(k7_xcmplx_0(A, k3_square_1(k6_xcmplx_0(1, k1_square_1(C)))))) ) ) ) ) ) ) ) ) ).
fof(t6_fdiff_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_fdiff_1(B, A) =>  (r1_xxreal_0(k1_funct_1(B, A), k4_xcmplx_0(1)) |  (r1_xxreal_0(1, k1_funct_1(B, A)) |  (r1_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k1_sin_cos6), A) & k1_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k1_sin_cos6), A)=k7_xcmplx_0(k1_fdiff_1(B, A), k3_square_1(k6_xcmplx_0(1, k1_square_1(k1_funct_1(B, A)))))) ) ) ) ) ) ) ) ).
fof(t7_fdiff_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_fdiff_1(B, A) =>  (r1_xxreal_0(k1_funct_1(B, A), k4_xcmplx_0(1)) |  (r1_xxreal_0(1, k1_funct_1(B, A)) |  (r1_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k3_sin_cos6), A) & k1_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k3_sin_cos6), A)=k4_xcmplx_0(k7_xcmplx_0(k1_fdiff_1(B, A), k3_square_1(k6_xcmplx_0(1, k1_square_1(k1_funct_1(B, A))))))) ) ) ) ) ) ) ) ).
fof(t8_fdiff_7, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos6, k3_taylor_1))) &  (r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r2_hidden(B, A) & r1_xxreal_0(k1_funct_1(k1_sin_cos6, B), k5_numbers)) ) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos6, k3_taylor_1), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos6, k3_taylor_1), A), B)=k7_xcmplx_0(1, k3_xcmplx_0(k3_square_1(k6_xcmplx_0(1, k1_square_1(B))), k1_funct_1(k1_sin_cos6, B)))) ) ) ) ) ) ) ).
fof(t9_fdiff_7, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_sin_cos6, k3_taylor_1))) &  (r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r2_hidden(B, A) & r1_xxreal_0(k1_funct_1(k3_sin_cos6, B), k5_numbers)) ) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_sin_cos6, k3_taylor_1), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_sin_cos6, k3_taylor_1), A), B)=k4_xcmplx_0(k7_xcmplx_0(1, k3_xcmplx_0(k3_square_1(k6_xcmplx_0(1, k1_square_1(B))), k1_funct_1(k3_sin_cos6, B))))) ) ) ) ) ) ) ).
fof(t10_fdiff_7, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos6, k1_taylor_1(A)))) & r1_tarski(B, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos6, k1_taylor_1(A)), B) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, B) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos6, k1_taylor_1(A)), B), C)=k7_xcmplx_0(k3_xcmplx_0(A, k3_prepower(k1_funct_1(k1_sin_cos6, C), k6_xcmplx_0(A, 1))), k3_square_1(k6_xcmplx_0(1, k1_square_1(C))))) ) ) ) ) ) ) ) ) ).
fof(t11_fdiff_7, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_sin_cos6, k1_taylor_1(A)))) & r1_tarski(B, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_sin_cos6, k1_taylor_1(A)), B) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, B) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_sin_cos6, k1_taylor_1(A)), B), C)=k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(A, k3_prepower(k1_funct_1(k3_sin_cos6, C), k6_xcmplx_0(A, 1))), k3_square_1(k6_xcmplx_0(1, k1_square_1(C)))))) ) ) ) ) ) ) ) ) ).
fof(t12_fdiff_7, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos6, k1_taylor_1(2)), k7_xcmplx_0(1, 2)))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos6, k1_taylor_1(2)), k7_xcmplx_0(1, 2)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos6, k1_taylor_1(2)), k7_xcmplx_0(1, 2)), A), B)=k7_xcmplx_0(k1_funct_1(k1_sin_cos6, B), k3_square_1(k6_xcmplx_0(1, k1_square_1(B))))) ) ) ) ) ) ) ).
fof(t13_fdiff_7, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_sin_cos6, k1_taylor_1(2)), k7_xcmplx_0(1, 2)))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_sin_cos6, k1_taylor_1(2)), k7_xcmplx_0(1, 2)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_sin_cos6, k1_taylor_1(2)), k7_xcmplx_0(1, 2)), A), B)=k4_xcmplx_0(k7_xcmplx_0(k1_funct_1(k3_sin_cos6, B), k3_square_1(k6_xcmplx_0(1, k1_square_1(B)))))) ) ) ) ) ) ) ).
fof(t14_fdiff_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(C, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k1_sin_cos6))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) =>  (k1_funct_1(D, E)=k2_xcmplx_0(k3_xcmplx_0(A, E), B) &  ( ~ (r1_xxreal_0(k1_funct_1(D, E), k4_xcmplx_0(1)))  &  ~ (r1_xxreal_0(1, k1_funct_1(D, E))) ) ) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k1_sin_cos6), C) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k1_sin_cos6), C), E)=k7_xcmplx_0(A, k3_square_1(k6_xcmplx_0(1, k1_square_1(k2_xcmplx_0(k3_xcmplx_0(A, E), B)))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_fdiff_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(C, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k3_sin_cos6))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) =>  (k1_funct_1(D, E)=k2_xcmplx_0(k3_xcmplx_0(A, E), B) &  ( ~ (r1_xxreal_0(k1_funct_1(D, E), k4_xcmplx_0(1)))  &  ~ (r1_xxreal_0(1, k1_funct_1(D, E))) ) ) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k3_sin_cos6), C) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k3_sin_cos6), C), E)=k4_xcmplx_0(k7_xcmplx_0(A, k3_square_1(k6_xcmplx_0(1, k1_square_1(k2_xcmplx_0(k3_xcmplx_0(A, E), B))))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_fdiff_7, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k1_sin_cos6))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k1_sin_cos6), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k1_sin_cos6), A), B)=k2_xcmplx_0(k1_funct_1(k1_sin_cos6, B), k7_xcmplx_0(B, k3_square_1(k6_xcmplx_0(1, k1_square_1(B)))))) ) ) ) ) ) ) ).
fof(t17_fdiff_7, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k3_sin_cos6))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k3_sin_cos6), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k3_sin_cos6), A), B)=k6_xcmplx_0(k1_funct_1(k3_sin_cos6, B), k7_xcmplx_0(B, k3_square_1(k6_xcmplx_0(1, k1_square_1(B)))))) ) ) ) ) ) ) ).
fof(t18_fdiff_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(C, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, D, k1_sin_cos6))) &  (r1_tarski(C, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) => k1_funct_1(D, E)=k2_xcmplx_0(k3_xcmplx_0(A, E), B)) ) ) ) )  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, D, k1_sin_cos6), C) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, D, k1_sin_cos6), C), E)=k2_xcmplx_0(k3_xcmplx_0(A, k1_funct_1(k1_sin_cos6, E)), k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A, E), B), k3_square_1(k6_xcmplx_0(1, k1_square_1(E)))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_fdiff_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(C, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, D, k3_sin_cos6))) &  (r1_tarski(C, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) => k1_funct_1(D, E)=k2_xcmplx_0(k3_xcmplx_0(A, E), B)) ) ) ) )  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, D, k3_sin_cos6), C) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, D, k3_sin_cos6), C), E)=k6_xcmplx_0(k3_xcmplx_0(A, k1_funct_1(k3_sin_cos6, E)), k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A, E), B), k3_square_1(k6_xcmplx_0(1, k1_square_1(E)))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_fdiff_7, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k1_sin_cos6), k7_xcmplx_0(1, 2)))) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) =>  (k1_funct_1(B, C)=k3_xcmplx_0(2, C) &  ( ~ (r1_xxreal_0(k1_funct_1(B, C), k4_xcmplx_0(1)))  &  ~ (r1_xxreal_0(1, k1_funct_1(B, C))) ) ) ) ) ) )  =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k1_sin_cos6), k7_xcmplx_0(1, 2)), A) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k1_sin_cos6), k7_xcmplx_0(1, 2)), A), C)=k7_xcmplx_0(1, k3_square_1(k6_xcmplx_0(1, k1_square_1(k3_xcmplx_0(2, C)))))) ) ) ) ) ) ) ) ) ).
fof(t21_fdiff_7, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k3_sin_cos6), k7_xcmplx_0(1, 2)))) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) =>  (k1_funct_1(B, C)=k3_xcmplx_0(2, C) &  ( ~ (r1_xxreal_0(k1_funct_1(B, C), k4_xcmplx_0(1)))  &  ~ (r1_xxreal_0(1, k1_funct_1(B, C))) ) ) ) ) ) )  =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k3_sin_cos6), k7_xcmplx_0(1, 2)), A) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k3_sin_cos6), k7_xcmplx_0(1, 2)), A), C)=k4_xcmplx_0(k7_xcmplx_0(1, k3_square_1(k6_xcmplx_0(1, k1_square_1(k3_xcmplx_0(2, C))))))) ) ) ) ) ) ) ) ) ).
fof(t22_fdiff_7, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k4_taylor_1(k7_xcmplx_0(1, 2))))) &  (B=k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D) &  (D=k1_taylor_1(2) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, A) =>  (k1_funct_1(C, E)=1 &  ~ (r1_xxreal_0(k1_funct_1(B, E), k5_numbers)) ) ) ) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k4_taylor_1(k7_xcmplx_0(1, 2))), A) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k4_taylor_1(k7_xcmplx_0(1, 2))), A), E)=k4_xcmplx_0(k3_xcmplx_0(E, k6_prepower(k6_xcmplx_0(1, k3_prepower(E, 2)), k4_xcmplx_0(k7_xcmplx_0(1, 2)))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_fdiff_7, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k1_sin_cos6), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k4_taylor_1(k7_xcmplx_0(1, 2)))))) &  (r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (B=k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D) &  (D=k1_taylor_1(2) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, A) =>  (k1_funct_1(C, E)=1 &  ( ~ (r1_xxreal_0(k1_funct_1(B, E), k5_numbers))  &  ~ (E=k5_numbers) ) ) ) ) ) ) ) ) )  =>  (r2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k1_sin_cos6), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k4_taylor_1(k7_xcmplx_0(1, 2)))), A) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, A) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k1_sin_cos6), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k4_taylor_1(k7_xcmplx_0(1, 2)))), A), E)=k1_funct_1(k1_sin_cos6, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_fdiff_7, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k3_sin_cos6), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k4_taylor_1(k7_xcmplx_0(1, 2)))))) &  (r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (B=k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D) &  (D=k1_taylor_1(2) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, A) =>  (k1_funct_1(C, E)=1 &  ( ~ (r1_xxreal_0(k1_funct_1(B, E), k5_numbers))  &  ~ (E=k5_numbers) ) ) ) ) ) ) ) ) )  =>  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k3_sin_cos6), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k4_taylor_1(k7_xcmplx_0(1, 2)))), A) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k3_sin_cos6), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k4_taylor_1(k7_xcmplx_0(1, 2)))), A), E)=k1_funct_1(k3_sin_cos6, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_fdiff_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k1_sin_cos6)))) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) =>  (k1_funct_1(C, D)=k7_xcmplx_0(D, A) &  ( ~ (r1_xxreal_0(k1_funct_1(C, D), k4_xcmplx_0(1)))  &  ~ (r1_xxreal_0(1, k1_funct_1(C, D))) ) ) ) ) ) )  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k1_sin_cos6)), B) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k1_sin_cos6)), B), D)=k2_xcmplx_0(k1_funct_1(k1_sin_cos6, k7_xcmplx_0(D, A)), k7_xcmplx_0(D, k3_xcmplx_0(A, k3_square_1(k6_xcmplx_0(1, k1_square_1(k7_xcmplx_0(D, A)))))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_fdiff_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k3_sin_cos6)))) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) =>  (k1_funct_1(C, D)=k7_xcmplx_0(D, A) &  ( ~ (r1_xxreal_0(k1_funct_1(C, D), k4_xcmplx_0(1)))  &  ~ (r1_xxreal_0(1, k1_funct_1(C, D))) ) ) ) ) ) )  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k3_sin_cos6)), B) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k3_sin_cos6)), B), D)=k6_xcmplx_0(k1_funct_1(k3_sin_cos6, k7_xcmplx_0(D, A)), k7_xcmplx_0(D, k3_xcmplx_0(A, k3_square_1(k6_xcmplx_0(1, k1_square_1(k7_xcmplx_0(D, A)))))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_fdiff_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(1, 2))))) &  (C=k47_valued_1(k1_numbers, k1_numbers, k1_numbers, D, E) &  (E=k1_taylor_1(2) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, B) =>  (k1_funct_1(D, F)=k1_square_1(A) &  ~ (r1_xxreal_0(k1_funct_1(C, F), k5_numbers)) ) ) ) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(1, 2))), B) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, B) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(1, 2))), B), F)=k4_xcmplx_0(k3_xcmplx_0(F, k6_prepower(k6_xcmplx_0(k1_square_1(A), k3_prepower(F, 2)), k4_xcmplx_0(k7_xcmplx_0(1, 2)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_fdiff_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, F, k1_sin_cos6)), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(1, 2)))))) &  (C=k47_valued_1(k1_numbers, k1_numbers, k1_numbers, D, E) &  (E=k1_taylor_1(2) &  (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, B) =>  (k1_funct_1(D, G)=k1_square_1(A) &  ( ~ (r1_xxreal_0(k1_funct_1(C, G), k5_numbers))  &  (k1_funct_1(F, G)=k7_xcmplx_0(G, A) &  ( ~ (r1_xxreal_0(k1_funct_1(F, G), k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, k1_funct_1(F, G)))  &  ( ~ (G=k5_numbers)  &  ~ (r1_xxreal_0(A, k5_numbers)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (r2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, F, k1_sin_cos6)), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(1, 2)))), B) &  (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, B) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, F, k1_sin_cos6)), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(1, 2)))), B), G)=k1_funct_1(k1_sin_cos6, k7_xcmplx_0(G, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_fdiff_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, F, k3_sin_cos6)), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(1, 2)))))) &  (C=k47_valued_1(k1_numbers, k1_numbers, k1_numbers, D, E) &  (E=k1_taylor_1(2) &  (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, B) =>  (k1_funct_1(D, G)=k1_square_1(A) &  ( ~ (r1_xxreal_0(k1_funct_1(C, G), k5_numbers))  &  (k1_funct_1(F, G)=k7_xcmplx_0(G, A) &  ( ~ (r1_xxreal_0(k1_funct_1(F, G), k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, k1_funct_1(F, G)))  &  ( ~ (G=k5_numbers)  &  ~ (r1_xxreal_0(A, k5_numbers)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, F, k3_sin_cos6)), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(1, 2)))), B) &  (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, B) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, F, k3_sin_cos6)), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(1, 2)))), B), G)=k1_funct_1(k3_sin_cos6, k7_xcmplx_0(G, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_fdiff_7, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k16_sin_cos), k1_taylor_1(A)), k4_xcmplx_0(k7_xcmplx_0(1, A))))) &  (! [C] :  (v1_xreal_0(C) =>  ~ ( (r2_hidden(C, B) & k1_funct_1(k16_sin_cos, C)=k5_numbers) ) ) ) )  =>  (r1_xxreal_0(A, k5_numbers) |  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k16_sin_cos), k1_taylor_1(A)), k4_xcmplx_0(k7_xcmplx_0(1, A))), B) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, B) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k16_sin_cos), k1_taylor_1(A)), k4_xcmplx_0(k7_xcmplx_0(1, A))), B), C)=k7_xcmplx_0(k1_funct_1(k18_sin_cos, C), k3_prepower(k1_funct_1(k16_sin_cos, C), k2_xcmplx_0(A, 1)))) ) ) ) ) ) ) ) ) ) ).
fof(t31_fdiff_7, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k18_sin_cos), k1_taylor_1(A)), k7_xcmplx_0(1, A)))) &  (! [C] :  (v1_xreal_0(C) =>  ~ ( (r2_hidden(C, B) & k1_funct_1(k18_sin_cos, C)=k5_numbers) ) ) ) )  =>  (r1_xxreal_0(A, k5_numbers) |  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k18_sin_cos), k1_taylor_1(A)), k7_xcmplx_0(1, A)), B) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, B) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k18_sin_cos), k1_taylor_1(A)), k7_xcmplx_0(1, A)), B), C)=k7_xcmplx_0(k1_funct_1(k16_sin_cos, C), k3_prepower(k1_funct_1(k18_sin_cos, C), k2_xcmplx_0(A, 1)))) ) ) ) ) ) ) ) ) ) ).
fof(t32_fdiff_7, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k16_sin_cos))) &  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r2_hidden(B, A) & r1_xxreal_0(B, k5_numbers)) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k16_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k16_sin_cos), A), B)=k7_xcmplx_0(k1_funct_1(k18_sin_cos, k1_funct_1(k3_taylor_1, B)), B)) ) ) ) ) ) ) ).
fof(t33_fdiff_7, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k18_sin_cos))) &  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r2_hidden(B, A) & r1_xxreal_0(B, k5_numbers)) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k18_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k18_sin_cos), A), B)=k4_xcmplx_0(k7_xcmplx_0(k1_funct_1(k16_sin_cos, k1_funct_1(k3_taylor_1, B)), B))) ) ) ) ) ) ) ).
fof(t34_fdiff_7, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k16_sin_cos))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k16_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k16_sin_cos), A), B)=k3_xcmplx_0(k1_funct_1(k22_sin_cos, B), k1_funct_1(k18_sin_cos, k1_funct_1(k22_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t35_fdiff_7, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k18_sin_cos))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k18_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k18_sin_cos), A), B)=k4_xcmplx_0(k3_xcmplx_0(k1_funct_1(k22_sin_cos, B), k1_funct_1(k16_sin_cos, k1_funct_1(k22_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t36_fdiff_7, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k22_sin_cos))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k22_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k22_sin_cos), A), B)=k4_xcmplx_0(k3_xcmplx_0(k1_funct_1(k22_sin_cos, k1_funct_1(k18_sin_cos, B)), k1_funct_1(k16_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t37_fdiff_7, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k22_sin_cos))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k22_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k22_sin_cos), A), B)=k3_xcmplx_0(k1_funct_1(k22_sin_cos, k1_funct_1(k16_sin_cos, B)), k1_funct_1(k18_sin_cos, B))) ) ) ) ) ) ) ).
fof(t38_fdiff_7, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos))) =>  (r2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), A), B)=k6_xcmplx_0(k1_funct_1(k18_sin_cos, B), k1_funct_1(k16_sin_cos, B))) ) ) ) ) ) ) ).
fof(t39_fdiff_7, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos))) =>  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), A), B)=k2_xcmplx_0(k1_funct_1(k18_sin_cos, B), k1_funct_1(k16_sin_cos, B))) ) ) ) ) ) ) ).
fof(t40_fdiff_7, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos)))) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos)), A), B)=k3_xcmplx_0(k3_xcmplx_0(2, k1_funct_1(k22_sin_cos, B)), k1_funct_1(k16_sin_cos, B))) ) ) ) ) ) ) ).
fof(t41_fdiff_7, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos)))) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos)), A), B)=k3_xcmplx_0(k3_xcmplx_0(2, k1_funct_1(k22_sin_cos, B)), k1_funct_1(k18_sin_cos, B))) ) ) ) ) ) ) ).
fof(t42_fdiff_7, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), k22_sin_cos))) =>  (r2_fdiff_1(k3_rfunct_1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), k22_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k3_rfunct_1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), k22_sin_cos), A), B)=k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(2, k1_funct_1(k16_sin_cos, B)), k1_funct_1(k22_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t43_fdiff_7, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), k22_sin_cos))) =>  (r2_fdiff_1(k3_rfunct_1(k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), k22_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k3_rfunct_1(k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), k22_sin_cos), A), B)=k7_xcmplx_0(k3_xcmplx_0(2, k1_funct_1(k18_sin_cos, B)), k1_funct_1(k22_sin_cos, B))) ) ) ) ) ) ) ).
fof(t44_fdiff_7, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k16_sin_cos))) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k16_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k16_sin_cos), A), B)=k3_xcmplx_0(k1_funct_1(k22_sin_cos, B), k2_xcmplx_0(k1_funct_1(k16_sin_cos, B), k1_funct_1(k18_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t45_fdiff_7, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k18_sin_cos))) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k18_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k18_sin_cos), A), B)=k3_xcmplx_0(k1_funct_1(k22_sin_cos, B), k6_xcmplx_0(k1_funct_1(k18_sin_cos, B), k1_funct_1(k16_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t46_fdiff_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (k1_funct_1(k18_sin_cos, A)=k5_numbers)  =>  (r1_fdiff_1(k3_rfunct_1(k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), A) & k1_fdiff_1(k3_rfunct_1(k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), A)=k7_xcmplx_0(1, k1_square_1(k1_funct_1(k18_sin_cos, A)))) ) ) ) ).
fof(t47_fdiff_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (k1_funct_1(k16_sin_cos, A)=k5_numbers)  =>  (r1_fdiff_1(k3_rfunct_1(k1_numbers, k1_numbers, k18_sin_cos, k16_sin_cos), A) & k1_fdiff_1(k3_rfunct_1(k1_numbers, k1_numbers, k18_sin_cos, k16_sin_cos), A)=k4_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k16_sin_cos, A))))) ) ) ) ).
fof(t48_fdiff_7, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), k1_taylor_1(2)))) &  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r2_hidden(B, A) & k1_funct_1(k18_sin_cos, B)=k5_numbers) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), k1_taylor_1(2)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), k1_taylor_1(2)), A), B)=k7_xcmplx_0(k3_xcmplx_0(2, k1_funct_1(k16_sin_cos, B)), k3_prepower(k1_funct_1(k18_sin_cos, B), 3))) ) ) ) ) ) ) ).
fof(t49_fdiff_7, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k18_sin_cos, k16_sin_cos), k1_taylor_1(2)))) &  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r2_hidden(B, A) & k1_funct_1(k16_sin_cos, B)=k5_numbers) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k18_sin_cos, k16_sin_cos), k1_taylor_1(2)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k18_sin_cos, k16_sin_cos), k1_taylor_1(2)), A), B)=k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(2, k1_funct_1(k18_sin_cos, B)), k3_prepower(k1_funct_1(k16_sin_cos, B), 3)))) ) ) ) ) ) ) ).
fof(t50_fdiff_7, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k3_rfunct_1(k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos)))) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) =>  (k1_funct_1(B, C)=k7_xcmplx_0(C, 2) &  ~ (k1_funct_1(k18_sin_cos, k1_funct_1(B, C))=k5_numbers) ) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k3_rfunct_1(k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos)), A) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k3_rfunct_1(k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos)), A), C)=k7_xcmplx_0(1, k2_xcmplx_0(1, k1_funct_1(k18_sin_cos, C)))) ) ) ) ) ) ) ) ) ).
fof(t51_fdiff_7, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k3_rfunct_1(k1_numbers, k1_numbers, k18_sin_cos, k16_sin_cos)))) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) =>  (k1_funct_1(B, C)=k7_xcmplx_0(C, 2) &  ~ (k1_funct_1(k16_sin_cos, k1_funct_1(B, C))=k5_numbers) ) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k3_rfunct_1(k1_numbers, k1_numbers, k18_sin_cos, k16_sin_cos)), A) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, k3_rfunct_1(k1_numbers, k1_numbers, k18_sin_cos, k16_sin_cos)), A), C)=k4_xcmplx_0(k7_xcmplx_0(1, k6_xcmplx_0(1, k1_funct_1(k18_sin_cos, C))))) ) ) ) ) ) ) ) ) ).
fof(t1_fdiff_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( (r2_hidden(A, k1_relset_1(k1_numbers, k26_sin_cos)) & k1_funct_1(k18_sin_cos, A)=k5_numbers) ) ) ) ).
fof(t2_fdiff_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( (r2_hidden(A, k1_relset_1(k1_numbers, k27_sin_cos)) & k1_funct_1(k16_sin_cos, A)=k5_numbers) ) ) ) ).
fof(t3_fdiff_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_tarski(B, k1_relset_1(k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, C, D))) =>  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) => k3_prepower(k1_funct_1(k3_rfunct_1(k1_numbers, k1_numbers, C, D), E), A)=k7_xcmplx_0(k3_prepower(k1_funct_1(C, E), A), k3_prepower(k1_funct_1(D, E), A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_fdiff_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(C, k1_relset_1(k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, D, E))) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, C) =>  (k1_funct_1(D, F)=k2_xcmplx_0(F, A) & k1_funct_1(E, F)=k6_xcmplx_0(F, B)) ) ) ) )  =>  (r2_fdiff_1(k3_rfunct_1(k1_numbers, k1_numbers, D, E), C) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, C) => k1_funct_1(k2_fdiff_1(k3_rfunct_1(k1_numbers, k1_numbers, D, E), C), F)=k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(A), B), k1_square_1(k6_xcmplx_0(F, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_fdiff_8, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k3_taylor_1))) =>  (r2_tarski(k5_numbers, A) |  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k3_taylor_1), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k3_taylor_1), A), B)=k4_xcmplx_0(k7_xcmplx_0(1, B))) ) ) ) ) ) ) ) ).
fof(t6_fdiff_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(C, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k26_sin_cos))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) => k1_funct_1(D, E)=k2_xcmplx_0(k3_xcmplx_0(A, E), B)) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k26_sin_cos), C) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k26_sin_cos), C), E)=k7_xcmplx_0(A, k1_square_1(k1_funct_1(k18_sin_cos, k2_xcmplx_0(k3_xcmplx_0(A, E), B))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_fdiff_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(C, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k27_sin_cos))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) => k1_funct_1(D, E)=k2_xcmplx_0(k3_xcmplx_0(A, E), B)) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k27_sin_cos), C) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k27_sin_cos), C), E)=k4_xcmplx_0(k7_xcmplx_0(A, k1_square_1(k1_funct_1(k16_sin_cos, k2_xcmplx_0(k3_xcmplx_0(A, E), B)))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_fdiff_8, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k26_sin_cos))) =>  (r2_tarski(k5_numbers, A) |  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k26_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k26_sin_cos), A), B)=k4_xcmplx_0(k7_xcmplx_0(1, k3_xcmplx_0(k1_square_1(B), k1_square_1(k1_funct_1(k18_sin_cos, k7_xcmplx_0(1, B))))))) ) ) ) ) ) ) ) ).
fof(t9_fdiff_8, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k27_sin_cos))) =>  (r2_tarski(k5_numbers, A) |  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k27_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k27_sin_cos), A), B)=k7_xcmplx_0(1, k3_xcmplx_0(k1_square_1(B), k1_square_1(k1_funct_1(k16_sin_cos, k7_xcmplx_0(1, B)))))) ) ) ) ) ) ) ) ).
fof(t10_fdiff_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, E, k26_valued_1(k1_numbers, k1_numbers, F, C)), k26_sin_cos))) &  (F=k1_taylor_1(2) &  (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, D) => k1_funct_1(E, G)=k2_xcmplx_0(A, k3_xcmplx_0(B, G))) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, E, k26_valued_1(k1_numbers, k1_numbers, F, C)), k26_sin_cos), D) &  (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, D) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, E, k26_valued_1(k1_numbers, k1_numbers, F, C)), k26_sin_cos), D), G)=k7_xcmplx_0(k2_xcmplx_0(B, k3_xcmplx_0(k3_xcmplx_0(2, C), G)), k1_square_1(k1_funct_1(k18_sin_cos, k2_xcmplx_0(k2_xcmplx_0(A, k3_xcmplx_0(B, G)), k3_xcmplx_0(C, k1_square_1(G))))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_fdiff_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, E, k26_valued_1(k1_numbers, k1_numbers, F, C)), k27_sin_cos))) &  (F=k1_taylor_1(2) &  (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, D) => k1_funct_1(E, G)=k2_xcmplx_0(A, k3_xcmplx_0(B, G))) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, E, k26_valued_1(k1_numbers, k1_numbers, F, C)), k27_sin_cos), D) &  (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, D) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, E, k26_valued_1(k1_numbers, k1_numbers, F, C)), k27_sin_cos), D), G)=k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(B, k3_xcmplx_0(k3_xcmplx_0(2, C), G)), k1_square_1(k1_funct_1(k16_sin_cos, k2_xcmplx_0(k2_xcmplx_0(A, k3_xcmplx_0(B, G)), k3_xcmplx_0(C, k1_square_1(G)))))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_fdiff_8, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k26_sin_cos))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k26_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k26_sin_cos), A), B)=k7_xcmplx_0(k1_funct_1(k22_sin_cos, B), k1_square_1(k1_funct_1(k18_sin_cos, k1_funct_1(k22_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t13_fdiff_8, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k27_sin_cos))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k27_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k27_sin_cos), A), B)=k4_xcmplx_0(k7_xcmplx_0(k1_funct_1(k22_sin_cos, B), k1_square_1(k1_funct_1(k16_sin_cos, k1_funct_1(k22_sin_cos, B)))))) ) ) ) ) ) ) ).
fof(t14_fdiff_8, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k26_sin_cos))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k26_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k26_sin_cos), A), B)=k7_xcmplx_0(1, k3_xcmplx_0(B, k1_square_1(k1_funct_1(k18_sin_cos, k1_funct_1(k3_taylor_1, B)))))) ) ) ) ) ) ) ).
fof(t15_fdiff_8, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k27_sin_cos))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k27_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k27_sin_cos), A), B)=k4_xcmplx_0(k7_xcmplx_0(1, k3_xcmplx_0(B, k1_square_1(k1_funct_1(k16_sin_cos, k1_funct_1(k3_taylor_1, B))))))) ) ) ) ) ) ) ).
fof(t16_fdiff_8, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k22_sin_cos))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k22_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k22_sin_cos), A), B)=k7_xcmplx_0(k1_funct_1(k22_sin_cos, k1_funct_1(k26_sin_cos, B)), k1_square_1(k1_funct_1(k18_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t17_fdiff_8, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k22_sin_cos))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k22_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k22_sin_cos), A), B)=k4_xcmplx_0(k7_xcmplx_0(k1_funct_1(k22_sin_cos, k1_funct_1(k27_sin_cos, B)), k1_square_1(k1_funct_1(k16_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t18_fdiff_8, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k3_taylor_1))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k3_taylor_1), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k3_taylor_1), A), B)=k7_xcmplx_0(1, k3_xcmplx_0(k1_funct_1(k18_sin_cos, B), k1_funct_1(k16_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t19_fdiff_8, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k3_taylor_1))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k3_taylor_1), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k3_taylor_1), A), B)=k4_xcmplx_0(k7_xcmplx_0(1, k3_xcmplx_0(k1_funct_1(k16_sin_cos, B), k1_funct_1(k18_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t20_fdiff_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_taylor_1(A)))) & r1_xxreal_0(1, A))  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_taylor_1(A)), B) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, B) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_taylor_1(A)), B), C)=k7_xcmplx_0(k3_xcmplx_0(A, k3_prepower(k1_funct_1(k16_sin_cos, C), k6_xcmplx_0(A, 1))), k3_prepower(k1_funct_1(k18_sin_cos, C), k1_nat_1(A, 1)))) ) ) ) ) ) ) ) ) ).
fof(t21_fdiff_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k1_taylor_1(A)))) & r1_xxreal_0(1, A))  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k1_taylor_1(A)), B) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, B) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k1_taylor_1(A)), B), C)=k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(A, k3_prepower(k1_funct_1(k18_sin_cos, C), k6_xcmplx_0(A, 1))), k3_prepower(k1_funct_1(k16_sin_cos, C), k1_nat_1(A, 1))))) ) ) ) ) ) ) ) ) ).
fof(t22_fdiff_8, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k6_rfunct_1(k1_numbers, k1_numbers, k18_sin_cos)))) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) =>  ( ~ (k2_xcmplx_0(1, k1_funct_1(k16_sin_cos, B))=k5_numbers)  &  ~ (k6_xcmplx_0(1, k1_funct_1(k16_sin_cos, B))=k5_numbers) ) ) ) ) )  =>  (r2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k6_rfunct_1(k1_numbers, k1_numbers, k18_sin_cos)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k6_rfunct_1(k1_numbers, k1_numbers, k18_sin_cos)), A), B)=k7_xcmplx_0(1, k6_xcmplx_0(1, k1_funct_1(k16_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t23_fdiff_8, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k6_rfunct_1(k1_numbers, k1_numbers, k18_sin_cos)))) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) =>  ( ~ (k6_xcmplx_0(1, k1_funct_1(k16_sin_cos, B))=k5_numbers)  &  ~ (k2_xcmplx_0(1, k1_funct_1(k16_sin_cos, B))=k5_numbers) ) ) ) ) )  =>  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k6_rfunct_1(k1_numbers, k1_numbers, k18_sin_cos)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k6_rfunct_1(k1_numbers, k1_numbers, k18_sin_cos)), A), B)=k7_xcmplx_0(1, k2_xcmplx_0(1, k1_funct_1(k16_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t24_fdiff_8, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_partfun2(k1_numbers, A)))) =>  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_partfun2(k1_numbers, A)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_partfun2(k1_numbers, A)), A), B)=k7_xcmplx_0(k1_square_1(k1_funct_1(k16_sin_cos, B)), k1_square_1(k1_funct_1(k18_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t25_fdiff_8, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k27_sin_cos), k1_partfun2(k1_numbers, A)))) =>  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k27_sin_cos), k1_partfun2(k1_numbers, A)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k27_sin_cos), k1_partfun2(k1_numbers, A)), A), B)=k7_xcmplx_0(k1_square_1(k1_funct_1(k18_sin_cos, B)), k1_square_1(k1_funct_1(k16_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t26_fdiff_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k26_sin_cos), k7_xcmplx_0(1, A)), k1_partfun2(k1_numbers, B)))) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) =>  (k1_funct_1(C, D)=k3_xcmplx_0(A, D) &  ~ (A=k5_numbers) ) ) ) ) )  =>  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k26_sin_cos), k7_xcmplx_0(1, A)), k1_partfun2(k1_numbers, B)), B) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k26_sin_cos), k7_xcmplx_0(1, A)), k1_partfun2(k1_numbers, B)), B), D)=k7_xcmplx_0(k1_square_1(k1_funct_1(k16_sin_cos, k3_xcmplx_0(A, D))), k1_square_1(k1_funct_1(k18_sin_cos, k3_xcmplx_0(A, D))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_fdiff_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k27_sin_cos), k4_xcmplx_0(k7_xcmplx_0(1, A))), k1_partfun2(k1_numbers, B)))) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) =>  (k1_funct_1(C, D)=k3_xcmplx_0(A, D) &  ~ (A=k5_numbers) ) ) ) ) )  =>  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k27_sin_cos), k4_xcmplx_0(k7_xcmplx_0(1, A))), k1_partfun2(k1_numbers, B)), B) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k27_sin_cos), k4_xcmplx_0(k7_xcmplx_0(1, A))), k1_partfun2(k1_numbers, B)), B), D)=k7_xcmplx_0(k1_square_1(k1_funct_1(k18_sin_cos, k3_xcmplx_0(A, D))), k1_square_1(k1_funct_1(k16_sin_cos, k3_xcmplx_0(A, D))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_fdiff_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(C, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, D, k26_sin_cos))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) => k1_funct_1(D, E)=k2_xcmplx_0(k3_xcmplx_0(A, E), B)) ) ) )  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, D, k26_sin_cos), C) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, D, k26_sin_cos), C), E)=k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(A, k1_funct_1(k16_sin_cos, E)), k1_funct_1(k18_sin_cos, E)), k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A, E), B), k1_square_1(k1_funct_1(k18_sin_cos, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_fdiff_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(C, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, D, k27_sin_cos))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) => k1_funct_1(D, E)=k2_xcmplx_0(k3_xcmplx_0(A, E), B)) ) ) )  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, D, k27_sin_cos), C) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, D, k27_sin_cos), C), E)=k6_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(A, k1_funct_1(k18_sin_cos, E)), k1_funct_1(k16_sin_cos, E)), k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A, E), B), k1_square_1(k1_funct_1(k16_sin_cos, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_fdiff_8, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k26_sin_cos))) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k26_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k26_sin_cos), A), B)=k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k22_sin_cos, B), k1_funct_1(k16_sin_cos, B)), k1_funct_1(k18_sin_cos, B)), k7_xcmplx_0(k1_funct_1(k22_sin_cos, B), k1_square_1(k1_funct_1(k18_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t31_fdiff_8, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k27_sin_cos))) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k27_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k27_sin_cos), A), B)=k6_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k22_sin_cos, B), k1_funct_1(k18_sin_cos, B)), k1_funct_1(k16_sin_cos, B)), k7_xcmplx_0(k1_funct_1(k22_sin_cos, B), k1_square_1(k1_funct_1(k16_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t32_fdiff_8, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k26_sin_cos))) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k26_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k26_sin_cos), A), B)=k2_xcmplx_0(k7_xcmplx_0(k7_xcmplx_0(k1_funct_1(k16_sin_cos, B), k1_funct_1(k18_sin_cos, B)), B), k7_xcmplx_0(k1_funct_1(k3_taylor_1, B), k1_square_1(k1_funct_1(k18_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t33_fdiff_8, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k27_sin_cos))) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k27_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k27_sin_cos), A), B)=k6_xcmplx_0(k7_xcmplx_0(k7_xcmplx_0(k1_funct_1(k18_sin_cos, B), k1_funct_1(k16_sin_cos, B)), B), k7_xcmplx_0(k1_funct_1(k3_taylor_1, B), k1_square_1(k1_funct_1(k16_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t34_fdiff_8, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k26_sin_cos))) =>  (r2_tarski(k5_numbers, A) |  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k26_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k26_sin_cos), A), B)=k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k7_xcmplx_0(k1_funct_1(k16_sin_cos, B), k1_funct_1(k18_sin_cos, B)), k1_square_1(B))), k7_xcmplx_0(k7_xcmplx_0(1, B), k1_square_1(k1_funct_1(k18_sin_cos, B))))) ) ) ) ) ) ) ) ).
fof(t35_fdiff_8, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k27_sin_cos))) =>  (r2_tarski(k5_numbers, A) |  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k27_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k27_sin_cos), A), B)=k6_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k7_xcmplx_0(k1_funct_1(k18_sin_cos, B), k1_funct_1(k16_sin_cos, B)), k1_square_1(B))), k7_xcmplx_0(k7_xcmplx_0(1, B), k1_square_1(k1_funct_1(k16_sin_cos, B))))) ) ) ) ) ) ) ) ).
fof(d1_fdiff_9, axiom, k1_fdiff_9=k6_rfunct_1(k1_numbers, k1_numbers, k18_sin_cos)).
fof(d2_fdiff_9, axiom, k2_fdiff_9=k6_rfunct_1(k1_numbers, k1_numbers, k16_sin_cos)).
fof(t1_fdiff_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (k1_funct_1(k18_sin_cos, A)=k5_numbers)  =>  (r1_fdiff_1(k1_fdiff_9, A) & k1_fdiff_1(k1_fdiff_9, A)=k7_xcmplx_0(k1_funct_1(k16_sin_cos, A), k1_square_1(k1_funct_1(k18_sin_cos, A)))) ) ) ) ).
fof(t2_fdiff_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (k1_funct_1(k16_sin_cos, A)=k5_numbers)  =>  (r1_fdiff_1(k2_fdiff_9, A) & k1_fdiff_1(k2_fdiff_9, A)=k4_xcmplx_0(k7_xcmplx_0(k1_funct_1(k18_sin_cos, A), k1_square_1(k1_funct_1(k16_sin_cos, A))))) ) ) ) ).
fof(t3_fdiff_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) => k3_prepower(k7_xcmplx_0(1, A), B)=k7_xcmplx_0(1, k3_prepower(A, B))) ) ) ) ).
fof(t4_fdiff_9, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_fdiff_9)) =>  (r2_fdiff_1(k1_fdiff_9, A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_fdiff_9, A), B)=k7_xcmplx_0(k1_funct_1(k16_sin_cos, B), k1_square_1(k1_funct_1(k18_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t5_fdiff_9, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k2_fdiff_9)) =>  (r2_fdiff_1(k2_fdiff_9, A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k2_fdiff_9, A), B)=k4_xcmplx_0(k7_xcmplx_0(k1_funct_1(k18_sin_cos, B), k1_square_1(k1_funct_1(k16_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t6_fdiff_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(C, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k1_fdiff_9))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) => k1_funct_1(D, E)=k2_xcmplx_0(k3_xcmplx_0(A, E), B)) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k1_fdiff_9), C) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k1_fdiff_9), C), E)=k7_xcmplx_0(k3_xcmplx_0(A, k1_funct_1(k16_sin_cos, k2_xcmplx_0(k3_xcmplx_0(A, E), B))), k1_square_1(k1_funct_1(k18_sin_cos, k2_xcmplx_0(k3_xcmplx_0(A, E), B))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_fdiff_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(C, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k2_fdiff_9))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) => k1_funct_1(D, E)=k2_xcmplx_0(k3_xcmplx_0(A, E), B)) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k2_fdiff_9), C) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k2_fdiff_9), C), E)=k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(A, k1_funct_1(k18_sin_cos, k2_xcmplx_0(k3_xcmplx_0(A, E), B))), k1_square_1(k1_funct_1(k16_sin_cos, k2_xcmplx_0(k3_xcmplx_0(A, E), B)))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_fdiff_9, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k1_fdiff_9))) =>  (r2_tarski(k5_numbers, A) |  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k1_fdiff_9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k1_fdiff_9), A), B)=k4_xcmplx_0(k7_xcmplx_0(k1_funct_1(k16_sin_cos, k7_xcmplx_0(1, B)), k3_xcmplx_0(k1_square_1(B), k1_square_1(k1_funct_1(k18_sin_cos, k7_xcmplx_0(1, B))))))) ) ) ) ) ) ) ) ).
fof(t9_fdiff_9, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k2_fdiff_9))) =>  (r2_tarski(k5_numbers, A) |  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k2_fdiff_9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k2_fdiff_9), A), B)=k7_xcmplx_0(k1_funct_1(k18_sin_cos, k7_xcmplx_0(1, B)), k3_xcmplx_0(k1_square_1(B), k1_square_1(k1_funct_1(k16_sin_cos, k7_xcmplx_0(1, B)))))) ) ) ) ) ) ) ) ).
fof(t10_fdiff_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, E, k26_valued_1(k1_numbers, k1_numbers, F, C)), k1_fdiff_9))) &  (F=k1_taylor_1(2) &  (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, D) => k1_funct_1(E, G)=k2_xcmplx_0(A, k3_xcmplx_0(B, G))) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, E, k26_valued_1(k1_numbers, k1_numbers, F, C)), k1_fdiff_9), D) &  (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, D) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, E, k26_valued_1(k1_numbers, k1_numbers, F, C)), k1_fdiff_9), D), G)=k7_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(B, k3_xcmplx_0(k3_xcmplx_0(2, C), G)), k1_funct_1(k16_sin_cos, k2_xcmplx_0(k2_xcmplx_0(A, k3_xcmplx_0(B, G)), k3_xcmplx_0(C, k1_square_1(G))))), k1_square_1(k1_funct_1(k18_sin_cos, k2_xcmplx_0(k2_xcmplx_0(A, k3_xcmplx_0(B, G)), k3_xcmplx_0(C, k1_square_1(G))))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_fdiff_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, E, k26_valued_1(k1_numbers, k1_numbers, F, C)), k2_fdiff_9))) &  (F=k1_taylor_1(2) &  (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, D) => k1_funct_1(E, G)=k2_xcmplx_0(A, k3_xcmplx_0(B, G))) ) ) ) )  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, E, k26_valued_1(k1_numbers, k1_numbers, F, C)), k2_fdiff_9), D) &  (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, D) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, E, k26_valued_1(k1_numbers, k1_numbers, F, C)), k2_fdiff_9), D), G)=k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(B, k3_xcmplx_0(k3_xcmplx_0(2, C), G)), k1_funct_1(k18_sin_cos, k2_xcmplx_0(k2_xcmplx_0(A, k3_xcmplx_0(B, G)), k3_xcmplx_0(C, k1_square_1(G))))), k1_square_1(k1_funct_1(k16_sin_cos, k2_xcmplx_0(k2_xcmplx_0(A, k3_xcmplx_0(B, G)), k3_xcmplx_0(C, k1_square_1(G)))))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_fdiff_9, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k1_fdiff_9))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k1_fdiff_9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k1_fdiff_9), A), B)=k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k22_sin_cos, B), k1_funct_1(k16_sin_cos, k1_funct_1(k22_sin_cos, B))), k1_square_1(k1_funct_1(k18_sin_cos, k1_funct_1(k22_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t13_fdiff_9, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k2_fdiff_9))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k2_fdiff_9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k2_fdiff_9), A), B)=k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k22_sin_cos, B), k1_funct_1(k18_sin_cos, k1_funct_1(k22_sin_cos, B))), k1_square_1(k1_funct_1(k16_sin_cos, k1_funct_1(k22_sin_cos, B)))))) ) ) ) ) ) ) ).
fof(t14_fdiff_9, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k1_fdiff_9))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k1_fdiff_9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k1_fdiff_9), A), B)=k7_xcmplx_0(k1_funct_1(k16_sin_cos, k1_funct_1(k3_taylor_1, B)), k3_xcmplx_0(B, k1_square_1(k1_funct_1(k18_sin_cos, k1_funct_1(k3_taylor_1, B)))))) ) ) ) ) ) ) ).
fof(t15_fdiff_9, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k2_fdiff_9))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k2_fdiff_9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k2_fdiff_9), A), B)=k4_xcmplx_0(k7_xcmplx_0(k1_funct_1(k18_sin_cos, k1_funct_1(k3_taylor_1, B)), k3_xcmplx_0(B, k1_square_1(k1_funct_1(k16_sin_cos, k1_funct_1(k3_taylor_1, B))))))) ) ) ) ) ) ) ).
fof(t16_fdiff_9, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k22_sin_cos))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k22_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k22_sin_cos), A), B)=k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k22_sin_cos, k1_funct_1(k1_fdiff_9, B)), k1_funct_1(k16_sin_cos, B)), k1_square_1(k1_funct_1(k18_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t17_fdiff_9, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k22_sin_cos))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k22_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k22_sin_cos), A), B)=k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k22_sin_cos, k1_funct_1(k2_fdiff_9, B)), k1_funct_1(k18_sin_cos, B)), k1_square_1(k1_funct_1(k16_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t18_fdiff_9, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k3_taylor_1))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k3_taylor_1), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k3_taylor_1), A), B)=k7_xcmplx_0(k1_funct_1(k16_sin_cos, B), k1_funct_1(k18_sin_cos, B))) ) ) ) ) ) ) ).
fof(t19_fdiff_9, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k3_taylor_1))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k3_taylor_1), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k3_taylor_1), A), B)=k4_xcmplx_0(k7_xcmplx_0(k1_funct_1(k18_sin_cos, B), k1_funct_1(k16_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t20_fdiff_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k1_taylor_1(A)))) & r1_xxreal_0(1, A))  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k1_taylor_1(A)), B) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, B) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k1_taylor_1(A)), B), C)=k7_xcmplx_0(k3_xcmplx_0(A, k1_funct_1(k16_sin_cos, C)), k3_prepower(k1_funct_1(k18_sin_cos, C), k1_nat_1(A, 1)))) ) ) ) ) ) ) ) ) ).
fof(t21_fdiff_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k1_taylor_1(A)))) & r1_xxreal_0(1, A))  =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k1_taylor_1(A)), B) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, B) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k1_taylor_1(A)), B), C)=k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(A, k1_funct_1(k18_sin_cos, C)), k3_prepower(k1_funct_1(k16_sin_cos, C), k1_nat_1(A, 1))))) ) ) ) ) ) ) ) ) ).
fof(t22_fdiff_9, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k1_partfun2(k1_numbers, A)))) =>  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k1_partfun2(k1_numbers, A)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k1_partfun2(k1_numbers, A)), A), B)=k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(k16_sin_cos, B), k1_square_1(k1_funct_1(k18_sin_cos, B))), k1_square_1(k1_funct_1(k18_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t23_fdiff_9, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k2_fdiff_9), k1_partfun2(k1_numbers, A)))) =>  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k2_fdiff_9), k1_partfun2(k1_numbers, A)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k2_fdiff_9), k1_partfun2(k1_numbers, A)), A), B)=k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(k18_sin_cos, B), k1_square_1(k1_funct_1(k16_sin_cos, B))), k1_square_1(k1_funct_1(k16_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t24_fdiff_9, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k1_fdiff_9))) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k1_fdiff_9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k1_fdiff_9), A), B)=k2_xcmplx_0(k7_xcmplx_0(k1_funct_1(k22_sin_cos, B), k1_funct_1(k18_sin_cos, B)), k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k22_sin_cos, B), k1_funct_1(k16_sin_cos, B)), k1_square_1(k1_funct_1(k18_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t25_fdiff_9, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k2_fdiff_9))) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k2_fdiff_9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k2_fdiff_9), A), B)=k6_xcmplx_0(k7_xcmplx_0(k1_funct_1(k22_sin_cos, B), k1_funct_1(k16_sin_cos, B)), k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k22_sin_cos, B), k1_funct_1(k18_sin_cos, B)), k1_square_1(k1_funct_1(k16_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t26_fdiff_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k1_fdiff_9), k7_xcmplx_0(1, A)), k1_partfun2(k1_numbers, B)))) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) =>  (k1_funct_1(C, D)=k3_xcmplx_0(A, D) &  ~ (A=k5_numbers) ) ) ) ) )  =>  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k1_fdiff_9), k7_xcmplx_0(1, A)), k1_partfun2(k1_numbers, B)), B) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k1_fdiff_9), k7_xcmplx_0(1, A)), k1_partfun2(k1_numbers, B)), B), D)=k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(k16_sin_cos, k3_xcmplx_0(A, D)), k1_square_1(k1_funct_1(k18_sin_cos, k3_xcmplx_0(A, D)))), k1_square_1(k1_funct_1(k18_sin_cos, k3_xcmplx_0(A, D))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_fdiff_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k2_fdiff_9), k4_xcmplx_0(k7_xcmplx_0(1, A))), k1_partfun2(k1_numbers, B)))) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) =>  (k1_funct_1(C, D)=k3_xcmplx_0(A, D) &  ~ (A=k5_numbers) ) ) ) ) )  =>  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k2_fdiff_9), k4_xcmplx_0(k7_xcmplx_0(1, A))), k1_partfun2(k1_numbers, B)), B) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k2_fdiff_9), k4_xcmplx_0(k7_xcmplx_0(1, A))), k1_partfun2(k1_numbers, B)), B), D)=k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(k18_sin_cos, k3_xcmplx_0(A, D)), k1_square_1(k1_funct_1(k16_sin_cos, k3_xcmplx_0(A, D)))), k1_square_1(k1_funct_1(k16_sin_cos, k3_xcmplx_0(A, D))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_fdiff_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(C, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, D, k1_fdiff_9))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) => k1_funct_1(D, E)=k2_xcmplx_0(k3_xcmplx_0(A, E), B)) ) ) )  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, D, k1_fdiff_9), C) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, D, k1_fdiff_9), C), E)=k2_xcmplx_0(k7_xcmplx_0(A, k1_funct_1(k18_sin_cos, E)), k7_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A, E), B), k1_funct_1(k16_sin_cos, E)), k1_square_1(k1_funct_1(k18_sin_cos, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_fdiff_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(C, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, D, k2_fdiff_9))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) => k1_funct_1(D, E)=k2_xcmplx_0(k3_xcmplx_0(A, E), B)) ) ) )  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, D, k2_fdiff_9), C) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, D, k2_fdiff_9), C), E)=k6_xcmplx_0(k7_xcmplx_0(A, k1_funct_1(k16_sin_cos, E)), k7_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A, E), B), k1_funct_1(k18_sin_cos, E)), k1_square_1(k1_funct_1(k16_sin_cos, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_fdiff_9, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k1_fdiff_9))) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k1_fdiff_9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k1_fdiff_9), A), B)=k2_xcmplx_0(k7_xcmplx_0(k7_xcmplx_0(1, k1_funct_1(k18_sin_cos, B)), B), k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k3_taylor_1, B), k1_funct_1(k16_sin_cos, B)), k1_square_1(k1_funct_1(k18_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t31_fdiff_9, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k2_fdiff_9))) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k2_fdiff_9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k2_fdiff_9), A), B)=k6_xcmplx_0(k7_xcmplx_0(k7_xcmplx_0(1, k1_funct_1(k16_sin_cos, B)), B), k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k3_taylor_1, B), k1_funct_1(k18_sin_cos, B)), k1_square_1(k1_funct_1(k16_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t32_fdiff_9, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k1_fdiff_9))) =>  (r2_tarski(k5_numbers, A) |  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k1_fdiff_9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k1_fdiff_9), A), B)=k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k7_xcmplx_0(1, k1_funct_1(k18_sin_cos, B)), k1_square_1(B))), k7_xcmplx_0(k7_xcmplx_0(k1_funct_1(k16_sin_cos, B), B), k1_square_1(k1_funct_1(k18_sin_cos, B))))) ) ) ) ) ) ) ) ).
fof(t33_fdiff_9, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k2_fdiff_9))) =>  (r2_tarski(k5_numbers, A) |  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k2_fdiff_9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k2_fdiff_9), A), B)=k6_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k7_xcmplx_0(1, k1_funct_1(k16_sin_cos, B)), k1_square_1(B))), k7_xcmplx_0(k7_xcmplx_0(k1_funct_1(k18_sin_cos, B), B), k1_square_1(k1_funct_1(k16_sin_cos, B))))) ) ) ) ) ) ) ) ).
fof(t34_fdiff_9, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_fdiff_9))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_fdiff_9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_fdiff_9), A), B)=k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k18_sin_cos, B), k1_funct_1(k16_sin_cos, k1_funct_1(k16_sin_cos, B))), k1_square_1(k1_funct_1(k18_sin_cos, k1_funct_1(k16_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t35_fdiff_9, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k1_fdiff_9))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k1_fdiff_9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k1_fdiff_9), A), B)=k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k16_sin_cos, B), k1_funct_1(k16_sin_cos, k1_funct_1(k18_sin_cos, B))), k1_square_1(k1_funct_1(k18_sin_cos, k1_funct_1(k18_sin_cos, B)))))) ) ) ) ) ) ) ).
fof(t36_fdiff_9, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k2_fdiff_9))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k2_fdiff_9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k2_fdiff_9), A), B)=k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k18_sin_cos, B), k1_funct_1(k18_sin_cos, k1_funct_1(k16_sin_cos, B))), k1_square_1(k1_funct_1(k16_sin_cos, k1_funct_1(k16_sin_cos, B)))))) ) ) ) ) ) ) ).
fof(t37_fdiff_9, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k2_fdiff_9))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k2_fdiff_9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k2_fdiff_9), A), B)=k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k16_sin_cos, B), k1_funct_1(k18_sin_cos, k1_funct_1(k18_sin_cos, B))), k1_square_1(k1_funct_1(k16_sin_cos, k1_funct_1(k18_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t38_fdiff_9, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_fdiff_9))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_fdiff_9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_fdiff_9), A), B)=k7_xcmplx_0(k7_xcmplx_0(k1_funct_1(k16_sin_cos, k1_funct_1(k26_sin_cos, B)), k1_square_1(k1_funct_1(k18_sin_cos, B))), k1_square_1(k1_funct_1(k18_sin_cos, k1_funct_1(k26_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t39_fdiff_9, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k1_fdiff_9))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k1_fdiff_9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k1_fdiff_9), A), B)=k4_xcmplx_0(k7_xcmplx_0(k7_xcmplx_0(k1_funct_1(k16_sin_cos, k1_funct_1(k27_sin_cos, B)), k1_square_1(k1_funct_1(k16_sin_cos, B))), k1_square_1(k1_funct_1(k18_sin_cos, k1_funct_1(k27_sin_cos, B)))))) ) ) ) ) ) ) ).
fof(t40_fdiff_9, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k2_fdiff_9))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k2_fdiff_9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k2_fdiff_9), A), B)=k4_xcmplx_0(k7_xcmplx_0(k7_xcmplx_0(k1_funct_1(k18_sin_cos, k1_funct_1(k26_sin_cos, B)), k1_square_1(k1_funct_1(k18_sin_cos, B))), k1_square_1(k1_funct_1(k16_sin_cos, k1_funct_1(k26_sin_cos, B)))))) ) ) ) ) ) ) ).
fof(t41_fdiff_9, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k2_fdiff_9))) =>  (r2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k2_fdiff_9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k2_fdiff_9), A), B)=k7_xcmplx_0(k7_xcmplx_0(k1_funct_1(k18_sin_cos, k1_funct_1(k27_sin_cos, B)), k1_square_1(k1_funct_1(k16_sin_cos, B))), k1_square_1(k1_funct_1(k16_sin_cos, k1_funct_1(k27_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t42_fdiff_9, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_fdiff_9))) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_fdiff_9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_fdiff_9), A), B)=k2_xcmplx_0(k7_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k18_sin_cos, B))), k1_funct_1(k18_sin_cos, B)), k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k26_sin_cos, B), k1_funct_1(k16_sin_cos, B)), k1_square_1(k1_funct_1(k18_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t43_fdiff_9, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k1_fdiff_9))) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k1_fdiff_9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k1_fdiff_9), A), B)=k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k16_sin_cos, B))), k1_funct_1(k18_sin_cos, B))), k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k27_sin_cos, B), k1_funct_1(k16_sin_cos, B)), k1_square_1(k1_funct_1(k18_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t44_fdiff_9, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k2_fdiff_9))) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k2_fdiff_9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k2_fdiff_9), A), B)=k6_xcmplx_0(k7_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k18_sin_cos, B))), k1_funct_1(k16_sin_cos, B)), k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k26_sin_cos, B), k1_funct_1(k18_sin_cos, B)), k1_square_1(k1_funct_1(k16_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t45_fdiff_9, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k2_fdiff_9))) =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k2_fdiff_9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k2_fdiff_9), A), B)=k6_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k16_sin_cos, B))), k1_funct_1(k16_sin_cos, B))), k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k27_sin_cos, B), k1_funct_1(k18_sin_cos, B)), k1_square_1(k1_funct_1(k16_sin_cos, B))))) ) ) ) ) ) ) ).
fof(dt_k1_fdiff_9, axiom,  (v1_funct_1(k1_fdiff_9) & m1_subset_1(k1_fdiff_9, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ).
fof(dt_k2_fdiff_9, axiom,  (v1_funct_1(k2_fdiff_9) & m1_subset_1(k2_fdiff_9, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ).
fof(d1_ff_siec, axiom,  (! [A] :  (! [B] :  (r1_xboole_0(A, B) => k1_ff_siec(A, B)=g1_petri(A, B, k1_partit_2(A, B), k1_partit_2(B, A))) ) ) ).
fof(d2_ff_siec, axiom,  (! [A] : k2_ff_siec(A)=k1_ff_siec(A, k1_xboole_0)) ).
fof(d3_ff_siec, axiom,  (! [A] : k3_ff_siec(A)=k1_ff_siec(k1_xboole_0, A)) ).
fof(d4_ff_siec, axiom,  (! [A] : k4_ff_siec(A)=k1_ff_siec(k1_xboole_0, k1_tarski(A))) ).
fof(d5_ff_siec, axiom,  (! [A] : k5_ff_siec(A)=k1_ff_siec(k1_tarski(A), k1_xboole_0)) ).
fof(d6_ff_siec, axiom, k6_ff_siec=k1_ff_siec(k1_xboole_0, k1_xboole_0)).
fof(t1_ff_siec, axiom,  (! [A] :  (! [B] :  (r1_xboole_0(A, B) =>  (u1_struct_0(k1_ff_siec(A, B))=A &  (u4_struct_0(k1_ff_siec(A, B))=B & k1_net_1(k1_ff_siec(A, B))=k1_xboole_0) ) ) ) ) ).
fof(t2_ff_siec, axiom,  (! [A] :  (u1_struct_0(k2_ff_siec(A))=A &  (u4_struct_0(k2_ff_siec(A))=k1_xboole_0 & k1_net_1(k2_ff_siec(A))=k1_xboole_0) ) ) ).
fof(t3_ff_siec, axiom,  (! [A] :  (u1_struct_0(k3_ff_siec(A))=k1_xboole_0 &  (u4_struct_0(k3_ff_siec(A))=A & k1_net_1(k3_ff_siec(A))=k1_xboole_0) ) ) ).
fof(t4_ff_siec, axiom,  (! [A] :  (u1_struct_0(k4_ff_siec(A))=k1_xboole_0 &  (u4_struct_0(k4_ff_siec(A))=k1_tarski(A) & k1_net_1(k4_ff_siec(A))=k1_xboole_0) ) ) ).
fof(t5_ff_siec, axiom,  (! [A] :  (u1_struct_0(k5_ff_siec(A))=k1_tarski(A) &  (u4_struct_0(k5_ff_siec(A))=k1_xboole_0 & k1_net_1(k5_ff_siec(A))=k1_xboole_0) ) ) ).
fof(t6_ff_siec, axiom,  (u1_struct_0(k6_ff_siec)=k1_xboole_0 &  (u4_struct_0(k6_ff_siec)=k1_xboole_0 & k1_net_1(k6_ff_siec)=k1_xboole_0) ) ).
fof(t7_ff_siec, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_net_1(C) & l1_petri(C))  =>  ( ( (r2_hidden(k4_tarski(A, B), k1_net_1(C)) & r2_hidden(A, u4_struct_0(C)))  =>  ( ~ (r2_hidden(A, u1_struct_0(C)))  &  ( ~ (r2_hidden(B, u4_struct_0(C)))  & r2_hidden(B, u1_struct_0(C))) ) )  &  ( ( (r2_hidden(k4_tarski(A, B), k1_net_1(C)) & r2_hidden(B, u4_struct_0(C)))  =>  ( ~ (r2_hidden(B, u1_struct_0(C)))  &  ( ~ (r2_hidden(A, u4_struct_0(C)))  & r2_hidden(A, u1_struct_0(C))) ) )  &  ( ( (r2_hidden(k4_tarski(A, B), k1_net_1(C)) & r2_hidden(A, u1_struct_0(C)))  =>  ( ~ (r2_hidden(B, u1_struct_0(C)))  &  ( ~ (r2_hidden(A, u4_struct_0(C)))  & r2_hidden(B, u4_struct_0(C))) ) )  &  ( (r2_hidden(k4_tarski(A, B), k1_net_1(C)) & r2_hidden(B, u1_struct_0(C)))  =>  ( ~ (r2_hidden(A, u1_struct_0(C)))  &  ( ~ (r2_hidden(B, u4_struct_0(C)))  & r2_hidden(A, u4_struct_0(C))) ) ) ) ) ) ) ) ) ) ).
fof(t8_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (r1_tarski(k1_net_1(A), k2_zfmisc_1(k2_net_1(A), k2_net_1(A))) & r1_tarski(k2_relat_1(k1_net_1(A)), k2_zfmisc_1(k2_net_1(A), k2_net_1(A)))) ) ) ).
fof(t9_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (r1_tarski(k10_xtuple_0(k5_relat_1(k1_net_1(A), u4_struct_0(A))), u1_struct_0(A)) &  (r1_tarski(k10_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A))), u1_struct_0(A)) &  (r1_tarski(k10_xtuple_0(k5_relat_1(k1_net_1(A), u1_struct_0(A))), u4_struct_0(A)) &  (r1_tarski(k10_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A))), u4_struct_0(A)) &  (r1_tarski(k10_xtuple_0(k4_relat_1(u4_struct_0(A))), u4_struct_0(A)) &  (r1_tarski(k9_xtuple_0(k4_relat_1(u4_struct_0(A))), u4_struct_0(A)) &  (r1_tarski(k10_xtuple_0(k4_relat_1(u1_struct_0(A))), u1_struct_0(A)) & r1_tarski(k9_xtuple_0(k4_relat_1(u1_struct_0(A))), u1_struct_0(A))) ) ) ) ) ) ) ) ) ).
fof(t10_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (r1_xboole_0(k10_xtuple_0(k5_relat_1(k1_net_1(A), u4_struct_0(A))), k9_xtuple_0(k5_relat_1(k1_net_1(A), u4_struct_0(A)))) &  (r1_xboole_0(k10_xtuple_0(k5_relat_1(k1_net_1(A), u4_struct_0(A))), k9_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A)))) &  (r1_xboole_0(k10_xtuple_0(k5_relat_1(k1_net_1(A), u4_struct_0(A))), k9_xtuple_0(k4_relat_1(u4_struct_0(A)))) &  (r1_xboole_0(k10_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A))), k9_xtuple_0(k5_relat_1(k1_net_1(A), u4_struct_0(A)))) &  (r1_xboole_0(k10_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A))), k9_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A)))) &  (r1_xboole_0(k10_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A))), k9_xtuple_0(k4_relat_1(u4_struct_0(A)))) &  (r1_xboole_0(k9_xtuple_0(k5_relat_1(k1_net_1(A), u4_struct_0(A))), k10_xtuple_0(k5_relat_1(k1_net_1(A), u4_struct_0(A)))) &  (r1_xboole_0(k9_xtuple_0(k5_relat_1(k1_net_1(A), u4_struct_0(A))), k10_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A)))) &  (r1_xboole_0(k9_xtuple_0(k5_relat_1(k1_net_1(A), u4_struct_0(A))), k10_xtuple_0(k4_relat_1(u1_struct_0(A)))) &  (r1_xboole_0(k9_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A))), k10_xtuple_0(k5_relat_1(k1_net_1(A), u4_struct_0(A)))) &  (r1_xboole_0(k9_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A))), k10_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A)))) &  (r1_xboole_0(k9_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A))), k10_xtuple_0(k4_relat_1(u1_struct_0(A)))) &  (r1_xboole_0(k10_xtuple_0(k5_relat_1(k1_net_1(A), u1_struct_0(A))), k9_xtuple_0(k5_relat_1(k1_net_1(A), u1_struct_0(A)))) &  (r1_xboole_0(k10_xtuple_0(k5_relat_1(k1_net_1(A), u1_struct_0(A))), k9_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A)))) &  (r1_xboole_0(k10_xtuple_0(k5_relat_1(k1_net_1(A), u1_struct_0(A))), k9_xtuple_0(k4_relat_1(u1_struct_0(A)))) &  (r1_xboole_0(k10_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A))), k9_xtuple_0(k5_relat_1(k1_net_1(A), u1_struct_0(A)))) &  (r1_xboole_0(k10_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A))), k9_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A)))) &  (r1_xboole_0(k10_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A))), k9_xtuple_0(k4_relat_1(u1_struct_0(A)))) &  (r1_xboole_0(k9_xtuple_0(k5_relat_1(k1_net_1(A), u1_struct_0(A))), k10_xtuple_0(k5_relat_1(k1_net_1(A), u1_struct_0(A)))) &  (r1_xboole_0(k9_xtuple_0(k5_relat_1(k1_net_1(A), u1_struct_0(A))), k10_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A)))) &  (r1_xboole_0(k9_xtuple_0(k5_relat_1(k1_net_1(A), u1_struct_0(A))), k10_xtuple_0(k4_relat_1(u4_struct_0(A)))) &  (r1_xboole_0(k9_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A))), k10_xtuple_0(k5_relat_1(k1_net_1(A), u1_struct_0(A)))) &  (r1_xboole_0(k9_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A))), k10_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A)))) & r1_xboole_0(k9_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A))), k10_xtuple_0(k4_relat_1(u4_struct_0(A))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (k3_relat_1(k5_relat_1(k1_net_1(A), u4_struct_0(A)), k5_relat_1(k1_net_1(A), u4_struct_0(A)))=k1_xboole_0 &  (k3_relat_1(k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A)), k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A)))=k1_xboole_0 &  (k3_relat_1(k5_relat_1(k1_net_1(A), u4_struct_0(A)), k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A)))=k1_xboole_0 &  (k3_relat_1(k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A)), k5_relat_1(k1_net_1(A), u4_struct_0(A)))=k1_xboole_0 &  (k3_relat_1(k5_relat_1(k1_net_1(A), u1_struct_0(A)), k5_relat_1(k1_net_1(A), u1_struct_0(A)))=k1_xboole_0 &  (k3_relat_1(k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A)), k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A)))=k1_xboole_0 &  (k3_relat_1(k5_relat_1(k1_net_1(A), u1_struct_0(A)), k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A)))=k1_xboole_0 & k3_relat_1(k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A)), k5_relat_1(k1_net_1(A), u1_struct_0(A)))=k1_xboole_0) ) ) ) ) ) ) ) ) ).
fof(t12_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (k3_relat_1(k5_relat_1(k1_net_1(A), u4_struct_0(A)), k4_relat_1(u1_struct_0(A)))=k5_relat_1(k1_net_1(A), u4_struct_0(A)) &  (k3_relat_1(k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A)), k4_relat_1(u1_struct_0(A)))=k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A)) &  (k3_relat_1(k4_relat_1(u4_struct_0(A)), k5_relat_1(k1_net_1(A), u4_struct_0(A)))=k5_relat_1(k1_net_1(A), u4_struct_0(A)) &  (k3_relat_1(k4_relat_1(u4_struct_0(A)), k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A)))=k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A)) &  (k3_relat_1(k5_relat_1(k1_net_1(A), u1_struct_0(A)), k4_relat_1(u4_struct_0(A)))=k5_relat_1(k1_net_1(A), u1_struct_0(A)) &  (k3_relat_1(k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A)), k4_relat_1(u4_struct_0(A)))=k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A)) &  (k3_relat_1(k4_relat_1(u1_struct_0(A)), k5_relat_1(k1_net_1(A), u1_struct_0(A)))=k5_relat_1(k1_net_1(A), u1_struct_0(A)) &  (k3_relat_1(k4_relat_1(u1_struct_0(A)), k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A)))=k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A)) &  (k3_relat_1(k5_relat_1(k1_net_1(A), u1_struct_0(A)), k4_relat_1(u4_struct_0(A)))=k5_relat_1(k1_net_1(A), u1_struct_0(A)) &  (k3_relat_1(k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A)), k4_relat_1(u4_struct_0(A)))=k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A)) &  (k3_relat_1(k4_relat_1(u4_struct_0(A)), k5_relat_1(k1_net_1(A), u1_struct_0(A)))=k1_xboole_0 &  (k3_relat_1(k4_relat_1(u4_struct_0(A)), k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A)))=k1_xboole_0 &  (k3_relat_1(k5_relat_1(k1_net_1(A), u1_struct_0(A)), k4_relat_1(u1_struct_0(A)))=k1_xboole_0 &  (k3_relat_1(k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A)), k4_relat_1(u1_struct_0(A)))=k1_xboole_0 &  (k3_relat_1(k4_relat_1(u1_struct_0(A)), k5_relat_1(k1_net_1(A), u4_struct_0(A)))=k1_xboole_0 &  (k3_relat_1(k4_relat_1(u1_struct_0(A)), k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A)))=k1_xboole_0 &  (k3_relat_1(k5_relat_1(k1_net_1(A), u4_struct_0(A)), k4_relat_1(u4_struct_0(A)))=k1_xboole_0 & k3_relat_1(k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A)), k4_relat_1(u4_struct_0(A)))=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (r1_xboole_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A)), k4_relat_1(k2_net_1(A))) &  (r1_xboole_0(k5_relat_1(k1_net_1(A), u4_struct_0(A)), k4_relat_1(k2_net_1(A))) &  (r1_xboole_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A)), k4_relat_1(k2_net_1(A))) & r1_xboole_0(k5_relat_1(k1_net_1(A), u1_struct_0(A)), k4_relat_1(k2_net_1(A)))) ) ) ) ) ).
fof(t14_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (k4_xboole_0(k2_xboole_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A)), k4_relat_1(u1_struct_0(A))), k4_relat_1(k2_net_1(A)))=k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A)) &  (k4_xboole_0(k2_xboole_0(k5_relat_1(k1_net_1(A), u4_struct_0(A)), k4_relat_1(u1_struct_0(A))), k4_relat_1(k2_net_1(A)))=k5_relat_1(k1_net_1(A), u4_struct_0(A)) &  (k4_xboole_0(k2_xboole_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A)), k4_relat_1(u1_struct_0(A))), k4_relat_1(k2_net_1(A)))=k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A)) &  (k4_xboole_0(k2_xboole_0(k5_relat_1(k1_net_1(A), u1_struct_0(A)), k4_relat_1(u1_struct_0(A))), k4_relat_1(k2_net_1(A)))=k5_relat_1(k1_net_1(A), u1_struct_0(A)) &  (k4_xboole_0(k2_xboole_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A)), k4_relat_1(u4_struct_0(A))), k4_relat_1(k2_net_1(A)))=k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A)) &  (k4_xboole_0(k2_xboole_0(k5_relat_1(k1_net_1(A), u1_struct_0(A)), k4_relat_1(u4_struct_0(A))), k4_relat_1(k2_net_1(A)))=k5_relat_1(k1_net_1(A), u1_struct_0(A)) &  (k4_xboole_0(k2_xboole_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A)), k4_relat_1(u4_struct_0(A))), k4_relat_1(k2_net_1(A)))=k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A)) & k4_xboole_0(k2_xboole_0(k5_relat_1(k1_net_1(A), u4_struct_0(A)), k4_relat_1(u4_struct_0(A))), k4_relat_1(k2_net_1(A)))=k5_relat_1(k1_net_1(A), u4_struct_0(A))) ) ) ) ) ) ) ) ) ).
fof(t15_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (k2_relat_1(k5_relat_1(k1_net_1(A), u1_struct_0(A)))=k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A)) & k2_relat_1(k5_relat_1(k1_net_1(A), u4_struct_0(A)))=k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A))) ) ) ).
fof(t16_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (k2_xboole_0(k5_relat_1(k1_net_1(A), u1_struct_0(A)), k5_relat_1(k1_net_1(A), u4_struct_0(A)))=k1_net_1(A) &  (k2_xboole_0(k5_relat_1(k1_net_1(A), u4_struct_0(A)), k5_relat_1(k1_net_1(A), u1_struct_0(A)))=k1_net_1(A) &  (k2_xboole_0(k2_relat_1(k5_relat_1(k1_net_1(A), u1_struct_0(A))), k2_relat_1(k5_relat_1(k1_net_1(A), u4_struct_0(A))))=k2_relat_1(k1_net_1(A)) & k2_xboole_0(k2_relat_1(k5_relat_1(k1_net_1(A), u4_struct_0(A))), k2_relat_1(k5_relat_1(k1_net_1(A), u1_struct_0(A))))=k2_relat_1(k1_net_1(A))) ) ) ) ) ).
fof(d7_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  => k7_ff_siec(A)=k2_xboole_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A)), k4_relat_1(u1_struct_0(A)))) ) ).
fof(d8_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  => k8_ff_siec(A)=k2_xboole_0(k5_relat_1(k1_net_1(A), u4_struct_0(A)), k4_relat_1(u1_struct_0(A)))) ) ).
fof(t17_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (r1_tarski(k8_ff_siec(A), k2_zfmisc_1(k2_net_1(A), k2_net_1(A))) & r1_tarski(k7_ff_siec(A), k2_zfmisc_1(k2_net_1(A), k2_net_1(A)))) ) ) ).
fof(t18_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (r1_tarski(k9_xtuple_0(k8_ff_siec(A)), k2_net_1(A)) &  (r1_tarski(k10_xtuple_0(k8_ff_siec(A)), k2_net_1(A)) &  (r1_tarski(k9_xtuple_0(k7_ff_siec(A)), k2_net_1(A)) & r1_tarski(k10_xtuple_0(k7_ff_siec(A)), k2_net_1(A))) ) ) ) ) ).
fof(t19_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (k3_relat_1(k8_ff_siec(A), k8_ff_siec(A))=k8_ff_siec(A) &  (k3_relat_1(k8_ff_siec(A), k7_ff_siec(A))=k8_ff_siec(A) &  (k3_relat_1(k7_ff_siec(A), k7_ff_siec(A))=k7_ff_siec(A) & k3_relat_1(k7_ff_siec(A), k8_ff_siec(A))=k7_ff_siec(A)) ) ) ) ) ).
fof(t20_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (k3_relat_1(k8_ff_siec(A), k4_xboole_0(k8_ff_siec(A), k4_relat_1(k2_net_1(A))))=k1_xboole_0 & k3_relat_1(k7_ff_siec(A), k4_xboole_0(k7_ff_siec(A), k4_relat_1(k2_net_1(A))))=k1_xboole_0) ) ) ).
fof(d9_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  => k9_ff_siec(A)=k2_xboole_0(k2_xboole_0(k5_relat_1(k1_net_1(A), u1_struct_0(A)), k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A))), k4_relat_1(u1_struct_0(A)))) ) ).
fof(d10_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  => k10_ff_siec(A)=k2_xboole_0(k1_net_1(A), k4_relat_1(k2_net_1(A)))) ) ).
fof(t21_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (k3_relat_1(k9_ff_siec(A), k9_ff_siec(A))=k9_ff_siec(A) &  (k3_relat_1(k4_xboole_0(k9_ff_siec(A), k4_relat_1(k2_net_1(A))), k9_ff_siec(A))=k1_xboole_0 & k2_xboole_0(k2_xboole_0(k9_ff_siec(A), k2_relat_1(k9_ff_siec(A))), k4_relat_1(k2_net_1(A)))=k2_xboole_0(k10_ff_siec(A), k2_relat_1(k10_ff_siec(A)))) ) ) ) ).
fof(d11_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  => k11_ff_siec(A)=u1_struct_0(A)) ) ).
fof(d12_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  => k12_ff_siec(A)=u4_struct_0(A)) ) ).
fof(d13_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  => k13_ff_siec(A)=k5_relat_1(k1_net_1(A), u4_struct_0(A))) ) ).
fof(d14_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  => k14_ff_siec(A)=k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A))) ) ).
fof(t22_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (r1_tarski(k13_ff_siec(A), k2_zfmisc_1(k12_ff_siec(A), k11_ff_siec(A))) & r1_tarski(k14_ff_siec(A), k2_zfmisc_1(k12_ff_siec(A), k11_ff_siec(A)))) ) ) ).
fof(t23_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (r1_tarski(k9_ff_siec(A), k2_zfmisc_1(k2_net_1(A), k2_net_1(A))) & r1_tarski(k10_ff_siec(A), k2_zfmisc_1(k2_net_1(A), k2_net_1(A)))) ) ) ).
fof(d15_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  => k15_ff_siec(A)=k2_xboole_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A)), k4_relat_1(u4_struct_0(A)))) ) ).
fof(d16_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  => k16_ff_siec(A)=k2_xboole_0(k5_relat_1(k1_net_1(A), u1_struct_0(A)), k4_relat_1(u4_struct_0(A)))) ) ).
fof(t24_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (r1_tarski(k16_ff_siec(A), k2_zfmisc_1(k2_net_1(A), k2_net_1(A))) & r1_tarski(k15_ff_siec(A), k2_zfmisc_1(k2_net_1(A), k2_net_1(A)))) ) ) ).
fof(t25_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (r1_tarski(k9_xtuple_0(k16_ff_siec(A)), k2_net_1(A)) &  (r1_tarski(k10_xtuple_0(k16_ff_siec(A)), k2_net_1(A)) &  (r1_tarski(k9_xtuple_0(k15_ff_siec(A)), k2_net_1(A)) & r1_tarski(k10_xtuple_0(k15_ff_siec(A)), k2_net_1(A))) ) ) ) ) ).
fof(t26_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (k3_relat_1(k16_ff_siec(A), k16_ff_siec(A))=k16_ff_siec(A) &  (k3_relat_1(k16_ff_siec(A), k15_ff_siec(A))=k16_ff_siec(A) &  (k3_relat_1(k15_ff_siec(A), k15_ff_siec(A))=k15_ff_siec(A) & k3_relat_1(k15_ff_siec(A), k16_ff_siec(A))=k15_ff_siec(A)) ) ) ) ) ).
fof(t27_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (k3_relat_1(k16_ff_siec(A), k4_xboole_0(k16_ff_siec(A), k4_relat_1(k2_net_1(A))))=k1_xboole_0 & k3_relat_1(k15_ff_siec(A), k4_xboole_0(k15_ff_siec(A), k4_relat_1(k2_net_1(A))))=k1_xboole_0) ) ) ).
fof(d17_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  => k17_ff_siec(A)=k2_xboole_0(k2_xboole_0(k5_relat_1(k1_net_1(A), u4_struct_0(A)), k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A))), k4_relat_1(u4_struct_0(A)))) ) ).
fof(t28_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (k3_relat_1(k17_ff_siec(A), k17_ff_siec(A))=k17_ff_siec(A) &  (k3_relat_1(k4_xboole_0(k17_ff_siec(A), k4_relat_1(k2_net_1(A))), k17_ff_siec(A))=k1_xboole_0 & k2_xboole_0(k2_xboole_0(k17_ff_siec(A), k2_relat_1(k17_ff_siec(A))), k4_relat_1(k2_net_1(A)))=k2_xboole_0(k10_ff_siec(A), k2_relat_1(k10_ff_siec(A)))) ) ) ) ).
fof(dt_k1_ff_siec, axiom,  (! [A, B] :  (v1_petri(k1_ff_siec(A, B)) &  (v1_net_1(k1_ff_siec(A, B)) & l1_petri(k1_ff_siec(A, B))) ) ) ).
fof(dt_k2_ff_siec, axiom,  (! [A] :  (v1_petri(k2_ff_siec(A)) &  (v1_net_1(k2_ff_siec(A)) & l1_petri(k2_ff_siec(A))) ) ) ).
fof(dt_k3_ff_siec, axiom,  (! [A] :  (v1_petri(k3_ff_siec(A)) &  (v1_net_1(k3_ff_siec(A)) & l1_petri(k3_ff_siec(A))) ) ) ).
fof(dt_k4_ff_siec, axiom,  (! [A] :  (v1_petri(k4_ff_siec(A)) &  (v1_net_1(k4_ff_siec(A)) & l1_petri(k4_ff_siec(A))) ) ) ).
fof(dt_k5_ff_siec, axiom,  (! [A] :  (v1_petri(k5_ff_siec(A)) &  (v1_net_1(k5_ff_siec(A)) & l1_petri(k5_ff_siec(A))) ) ) ).
fof(dt_k6_ff_siec, axiom,  (v1_petri(k6_ff_siec) &  (v1_net_1(k6_ff_siec) & l1_petri(k6_ff_siec)) ) ).
fof(dt_k7_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  => v1_relat_1(k7_ff_siec(A))) ) ).
fof(dt_k8_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  => v1_relat_1(k8_ff_siec(A))) ) ).
fof(dt_k9_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  => v1_relat_1(k9_ff_siec(A))) ) ).
fof(dt_k10_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  => v1_relat_1(k10_ff_siec(A))) ) ).
fof(dt_k13_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  => v1_relat_1(k13_ff_siec(A))) ) ).
fof(dt_k14_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  => v1_relat_1(k14_ff_siec(A))) ) ).
fof(dt_k15_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  => v1_relat_1(k15_ff_siec(A))) ) ).
fof(dt_k16_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  => v1_relat_1(k16_ff_siec(A))) ) ).
fof(dt_k17_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  => v1_relat_1(k17_ff_siec(A))) ) ).
fof(d1_fib_fusc, axiom, k1_fib_fusc=k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k5_afinsq_1(k9_ami_3(2, k10_ami_3(1))), k5_afinsq_1(k2_compos_1(k1_ami_3))), k5_afinsq_1(k2_ami_3(k10_ami_3(3), k10_ami_3(k5_numbers)))), k5_afinsq_1(k4_ami_3(k10_ami_3(1), k10_ami_3(k5_numbers)))), k5_afinsq_1(k8_ami_3(1, k10_ami_3(1)))), k5_afinsq_1(k2_ami_3(k10_ami_3(4), k10_ami_3(2)))), k5_afinsq_1(k2_ami_3(k10_ami_3(2), k10_ami_3(3)))), k5_afinsq_1(k3_ami_3(k10_ami_3(3), k10_ami_3(4)))), k5_afinsq_1(k7_ami_3(3)))).
fof(t1_fib_fusc, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_ami_3)) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  =>  (r1_tarski(k1_fib_fusc, A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( (v5_memstr_0(C, k5_card_1(2), k1_ami_3, k5_numbers) & m1_scm_1(C, k16_afinsq_1(1, B, k5_numbers, k5_numbers)))  =>  (r1_extpro_1(k5_card_1(2), k1_ami_3, A, C) &  ( (B=k5_numbers => k8_extpro_1(k5_card_1(2), k1_ami_3, A, C)=1)  &  ( ( ~ (r1_xxreal_0(B, k5_numbers))  => k8_extpro_1(k5_card_1(2), k1_ami_3, A, C)=k6_xcmplx_0(k2_nat_1(6, B), 2))  & k1_funct_1(k6_extpro_1(k5_card_1(2), k1_ami_3, A, C), k10_ami_3(3))=k1_pre_ff(B)) ) ) ) ) ) ) ) ) ) ).
fof(d2_fib_fusc, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (B=k2_fib_fusc(A) <=>  ~ ( ( (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ ( (A=C & B=k2_pre_ff(C)) ) ) )  &  ~ ( ( ~ (m1_subset_1(A, k4_ordinal1))  & B=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(d3_fib_fusc, axiom, k3_fib_fusc=k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k5_afinsq_1(k8_ami_3(8, k10_ami_3(1))), k5_afinsq_1(k2_ami_3(k10_ami_3(4), k10_ami_3(k5_numbers)))), k5_afinsq_1(k6_ami_3(k10_ami_3(1), k10_ami_3(4)))), k5_afinsq_1(k8_ami_3(6, k10_ami_3(4)))), k5_afinsq_1(k3_ami_3(k10_ami_3(3), k10_ami_3(2)))), k5_afinsq_1(k7_ami_3(k5_numbers))), k5_afinsq_1(k3_ami_3(k10_ami_3(2), k10_ami_3(3)))), k5_afinsq_1(k7_ami_3(k5_numbers))), k5_afinsq_1(k2_compos_1(k1_ami_3)))).
fof(t2_fib_fusc, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_ami_3)) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  =>  (r1_tarski(k3_fib_fusc, A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  =>  (! [C] :  ( (v5_memstr_0(C, k5_card_1(2), k1_ami_3, k5_numbers) & m1_scm_1(C, k16_afinsq_1(2, B, 1, k5_numbers)))  =>  (r1_extpro_1(k5_card_1(2), k1_ami_3, A, C) &  (k1_funct_1(k6_extpro_1(k5_card_1(2), k1_ami_3, A, C), k10_ami_3(3))=k2_pre_ff(B) & k8_extpro_1(k5_card_1(2), k1_ami_3, A, C)=k2_xcmplx_0(k3_xcmplx_0(6, k2_xcmplx_0(k1_int_1(k3_power(2, B)), 1)), 1)) ) ) ) ) ) ) ) ) ) ).
fof(t3_fib_fusc, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_ami_3)) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  =>  (r1_tarski(k1_fib_fusc, A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( (v5_memstr_0(F, k5_card_1(2), k1_ami_3, 3) & m1_scm_1(F, k16_afinsq_1(1, B, D, E)))  =>  ( (D=k1_pre_ff(C) & E=k1_pre_ff(k1_nat_1(C, 1)))  =>  (r1_xxreal_0(B, k5_numbers) |  (r1_extpro_1(k5_card_1(2), k1_ami_3, A, F) &  (k8_extpro_1(k5_card_1(2), k1_ami_3, A, F)=k6_xcmplx_0(k3_xcmplx_0(6, B), 4) &  (? [G] :  (m1_subset_1(G, k4_ordinal1) &  (G=k6_xcmplx_0(k2_xcmplx_0(C, B), 1) &  (k1_funct_1(k6_extpro_1(k5_card_1(2), k1_ami_3, A, F), k10_ami_3(2))=k1_pre_ff(G) & k1_funct_1(k6_extpro_1(k5_card_1(2), k1_ami_3, A, F), k10_ami_3(3))=k1_pre_ff(k1_nat_1(G, 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_fib_fusc, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_ami_3)) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  =>  (r1_tarski(k3_fib_fusc, A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  ( (v5_memstr_0(F, k5_card_1(2), k1_ami_3, k5_numbers) & m1_scm_1(F, k16_afinsq_1(2, B, D, E)))  =>  (k2_pre_ff(C)=k1_nat_1(k2_nat_1(D, k2_pre_ff(B)), k2_nat_1(E, k2_pre_ff(k1_nat_1(B, 1)))) =>  (r1_xxreal_0(C, k5_numbers) |  (r1_extpro_1(k5_card_1(2), k1_ami_3, A, F) &  (k1_funct_1(k6_extpro_1(k5_card_1(2), k1_ami_3, A, F), k10_ami_3(3))=k2_pre_ff(C) &  ( (B=k5_numbers => k8_extpro_1(k5_card_1(2), k1_ami_3, A, F)=1)  &  ( ~ (r1_xxreal_0(B, k5_numbers))  => k8_extpro_1(k5_card_1(2), k1_ami_3, A, F)=k2_xcmplx_0(k3_xcmplx_0(6, k2_xcmplx_0(k1_int_1(k3_power(2, B)), 1)), 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_fib_fusc, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_ami_3)) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  =>  (r1_tarski(k3_fib_fusc, A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  =>  (! [C] :  ( (v5_memstr_0(C, k5_card_1(2), k1_ami_3, k5_numbers) & m1_scm_1(C, k16_afinsq_1(2, B, 1, k5_numbers)))  =>  (r1_extpro_1(k5_card_1(2), k1_ami_3, A, C) &  (k1_funct_1(k6_extpro_1(k5_card_1(2), k1_ami_3, A, C), k10_ami_3(3))=k2_pre_ff(B) &  ( (B=k5_numbers => k8_extpro_1(k5_card_1(2), k1_ami_3, A, C)=1)  &  ( ~ (r1_xxreal_0(B, k5_numbers))  => k8_extpro_1(k5_card_1(2), k1_ami_3, A, C)=k2_xcmplx_0(k3_xcmplx_0(6, k2_xcmplx_0(k1_int_1(k3_power(2, B)), 1)), 1)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_fib_fusc, axiom,  (v1_relat_1(k1_fib_fusc) &  (v5_relat_1(k1_fib_fusc, u1_compos_1(k1_ami_3)) &  (v5_ordinal1(k1_fib_fusc) &  (v1_funct_1(k1_fib_fusc) & v1_finset_1(k1_fib_fusc)) ) ) ) ).
fof(dt_k2_fib_fusc, axiom,  (! [A] :  (v1_int_1(A) => m1_subset_1(k2_fib_fusc(A), k4_ordinal1)) ) ).
fof(dt_k3_fib_fusc, axiom,  (v1_relat_1(k3_fib_fusc) &  (v5_relat_1(k3_fib_fusc, u1_compos_1(k1_ami_3)) &  (v5_ordinal1(k3_fib_fusc) &  (v1_funct_1(k3_fib_fusc) & v1_finset_1(k3_fib_fusc)) ) ) ) ).
fof(t1_fib_num, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k3_int_2(A, B)=k3_int_2(A, k1_nat_1(B, A))) ) ) ) ).
fof(t2_fib_num, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (k3_int_2(A, B)=1 => k3_int_2(A, k2_nat_1(B, C))=k3_int_2(A, C)) ) ) ) ) ) ) ).
fof(t3_fib_num, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  ( ~ (r1_xxreal_0(k7_xcmplx_0(1, B), k5_numbers))  & r1_xxreal_0(k7_xcmplx_0(1, B), A)) ) ) ) ) ) ) ) ) ).
fof(t4_fib_num, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k1_pre_ff(k1_nat_1(A, k1_nat_1(B, 1)))=k1_nat_1(k2_nat_1(k1_pre_ff(B), k1_pre_ff(A)), k2_nat_1(k1_pre_ff(k1_nat_1(B, 1)), k1_pre_ff(k1_nat_1(A, 1))))) ) ) ) ).
fof(t5_fib_num, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k3_int_2(k1_pre_ff(A), k1_pre_ff(B))=k1_pre_ff(k3_int_2(A, B))) ) ) ) ).
fof(t6_fib_num, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (r1_xxreal_0(k5_numbers, k1_quin_1(B, C, D)) =>  (B=k5_numbers |  (k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B, k1_square_1(A)), k3_xcmplx_0(C, A)), D)=k5_numbers <=>  (A=k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(C), k3_square_1(k1_quin_1(B, C, D))), k3_xcmplx_0(2, B)) | A=k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(C), k3_square_1(k1_quin_1(B, C, D))), k3_xcmplx_0(2, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_fib_num, axiom, k1_fib_num=k7_xcmplx_0(k2_xcmplx_0(1, k3_square_1(5)), 2)).
fof(d2_fib_num, axiom, k2_fib_num=k7_xcmplx_0(k6_xcmplx_0(1, k3_square_1(5)), 2)).
fof(t7_fib_num, axiom,  (! [A] :  (v7_ordinal1(A) => k1_pre_ff(A)=k7_xcmplx_0(k6_xcmplx_0(k2_power(k1_fib_num, A), k2_power(k2_fib_num, A)), k3_square_1(5))) ) ).
fof(t8_fib_num, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ~ (r1_xxreal_0(1, k9_complex1(k6_xcmplx_0(k1_pre_ff(A), k7_xcmplx_0(k2_power(k1_fib_num, A), k3_square_1(5)))))) ) ) ).
fof(t9_fib_num, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v9_ordinal1(B) => k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k52_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B), k52_valued_1(k4_ordinal1, k1_numbers, k1_numbers, B, C))=k52_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, C)) ) ) ) ) ) ) ).
fof(t10_fib_num, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (k8_nat_1(k1_numbers, k52_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B), C)=k6_real_1(k8_nat_1(k1_numbers, A, C), k8_nat_1(k1_numbers, B, C)) & k8_nat_1(k1_numbers, k52_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B), C)=k4_real_1(k8_nat_1(k1_numbers, A, C), k2_real_1(k8_nat_1(k1_numbers, B, C)))) ) ) ) ) ) ) ).
fof(t11_fib_num, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (! [B] :  (m1_subset_1(B, k4_ordinal1) => k8_nat_1(k1_numbers, A, B)=k7_xcmplx_0(k1_pre_ff(k1_nat_1(B, 1)), k1_pre_ff(B))) )  =>  (v2_comseq_2(A) & k1_seq_2(A)=k1_fib_num) ) ) ) ).
fof(s1_fib_num, axiom,  ( (p1_s1_fib_num(k5_numbers) &  (p1_s1_fib_num(1) &  (! [A] :  (v7_ordinal1(A) =>  ( (p1_s1_fib_num(A) & p1_s1_fib_num(k1_nat_1(A, 1)))  => p1_s1_fib_num(k1_nat_1(A, 2))) ) ) ) )  =>  (! [A] :  (v7_ordinal1(A) => p1_s1_fib_num(A)) ) ) ).
fof(s2_fib_num, axiom,  ( ( (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (p1_s2_fib_num(A, B) => p1_s2_fib_num(B, A)) ) ) ) )  &  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ( (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (r1_xxreal_0(A, C))  &  ~ (p1_s2_fib_num(B, C)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (r1_xxreal_0(B, A) => p1_s2_fib_num(A, B)) ) ) ) ) ) )  =>  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => p1_s2_fib_num(A, B)) ) ) ) ) ).
fof(dt_k1_fib_num, axiom, v1_xreal_0(k1_fib_num)).
fof(dt_k2_fib_num, axiom, v1_xreal_0(k2_fib_num)).
fof(fc1_fib_num2, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v1_abian(A)) )  =>  (v1_xcmplx_0(k4_xcmplx_0(A)) &  ~ (v1_abian(k4_xcmplx_0(A))) ) ) ) ).
fof(fc2_fib_num2, axiom,  (! [A] :  ( (v1_int_1(A) & v1_abian(A))  =>  (v1_xcmplx_0(k4_xcmplx_0(A)) & v1_abian(k4_xcmplx_0(A))) ) ) ).
fof(rc1_fib_num2, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v1_setfam_1(A) & v6_membered(A)) ) ) ) ).
fof(fc3_fib_num2, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  &  (v1_finset_1(B) &  (v1_setfam_1(B) & v6_membered(B)) ) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v2_finseq_1(k5_relat_1(A, B))) ) ) ).
fof(fc4_fib_num2, axiom, v3_xxreal_2(k4_ordinal1)).
fof(fc5_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) => v1_setfam_1(k1_finseq_1(A))) ) ).
fof(cc1_fib_num2, axiom,  (! [A] :  (v1_setfam_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_setfam_1(B)) ) ) ) ).
fof(fc6_fib_num2, axiom,  (! [A, B] :  (v1_setfam_1(A) => v1_setfam_1(k3_xboole_0(A, B))) ) ).
fof(fc7_fib_num2, axiom,  (! [A, B] :  (v1_setfam_1(A) => v1_setfam_1(k3_xboole_0(B, A))) ) ).
fof(t1_fib_num2, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  => k1_nat_1(k7_nat_d(A, 1), 2)=k1_nat_1(A, 1)) ) ).
fof(t2_fib_num2, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v1_abian(A)) )  => k2_power(k4_xcmplx_0(1), A)=k4_xcmplx_0(1)) ) ).
fof(t3_fib_num2, axiom,  (! [A] :  ( (v1_int_1(A) & v1_abian(A))  => k2_power(k4_xcmplx_0(1), A)=1) ) ).
fof(t4_fib_num2, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_xreal_0(A))  =>  (! [B] :  (v1_int_1(B) => k2_power(k3_xcmplx_0(k4_xcmplx_0(1), A), B)=k3_xcmplx_0(k2_power(k4_xcmplx_0(1), B), k2_power(A, B))) ) ) ) ).
fof(t5_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_xreal_0(C) => k2_power(C, k2_xcmplx_0(A, B))=k3_xcmplx_0(k2_power(C, A), k2_power(C, B))) ) ) ) ) ) ).
fof(t6_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & v1_xreal_0(B))  =>  (! [C] :  ( (v1_int_1(C) &  ~ (v1_abian(C)) )  => k2_power(k2_power(B, C), A)=k2_power(B, k3_xcmplx_0(C, A))) ) ) ) ) ) ).
fof(t7_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) => k1_square_1(k2_power(k4_xcmplx_0(1), k4_xcmplx_0(A)))=1) ) ).
fof(t8_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & v1_xreal_0(C))  => k3_xcmplx_0(k2_power(C, k4_xcmplx_0(A)), k2_power(C, k4_xcmplx_0(B)))=k2_power(C, k6_xcmplx_0(k4_xcmplx_0(A), B))) ) ) ) ) ) ).
fof(t9_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) => k2_power(k4_xcmplx_0(1), k4_xcmplx_0(k3_xcmplx_0(2, A)))=1) ) ).
fof(t10_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & v1_xreal_0(B))  => k3_xcmplx_0(k2_power(B, A), k2_power(B, k4_xcmplx_0(A)))=1) ) ) ) ).
fof(t11_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) => k2_power(k4_xcmplx_0(1), k4_xcmplx_0(A))=k2_power(k4_xcmplx_0(1), A)) ) ).
fof(t12_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( (r1_nat_d(B, C) & r1_nat_d(B, A))  => r1_nat_d(B, k2_xcmplx_0(k2_nat_1(C, D), k3_xcmplx_0(A, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_fib_num2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  => r1_tarski(k10_xtuple_0(k15_finseq_1(A)), k10_xtuple_0(A))) ) ).
fof(d1_fib_num2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  =>  (! [B] :  ( (v1_finset_1(B) &  (v1_setfam_1(B) & v6_membered(B)) )  => k1_fib_num2(A, B)=k15_finseq_1(k5_relat_1(A, B))) ) ) ) ).
fof(t14_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ ( ( ~ (C=k5_numbers)  &  (r1_xxreal_0(k2_xcmplx_0(C, B), A) & r1_xxreal_0(A, B)) ) ) ) ) ) ) ) ) ).
fof(t15_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (! [D] :  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(B, A))  &  ~ ( (v1_relat_1(k2_tarski(k4_tarski(A, C), k4_tarski(B, D))) &  (v1_funct_1(k2_tarski(k4_tarski(A, C), k4_tarski(B, D))) & v2_finseq_1(k2_tarski(k4_tarski(A, C), k4_tarski(B, D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (! [D] :  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v2_finseq_1(E)) )  =>  (E=k2_tarski(k4_tarski(A, C), k4_tarski(B, D)) =>  (r1_xxreal_0(B, A) | k15_finseq_1(E)=k10_finseq_1(C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t17_fib_num2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (r1_xxreal_0(1, A) =>  (v1_relat_1(k1_tarski(k4_tarski(A, B))) &  (v1_funct_1(k1_tarski(k4_tarski(A, B))) & v2_finseq_1(k1_tarski(k4_tarski(A, B)))) ) ) ) ) ) ).
fof(t18_fib_num2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v2_finseq_1(C)) )  =>  (C=k1_tarski(k4_tarski(1, B)) => k61_valued_1(C, A)=k1_tarski(k4_tarski(k1_nat_1(1, A), B))) ) ) ) ) ) ).
fof(t19_fib_num2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ ( (r1_tarski(k9_xtuple_0(A), k2_finseq_1(B)) &  ( ~ (r1_xxreal_0(C, B))  &  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  ~ ( (r1_tarski(A, D) & k4_finseq_1(D)=k2_finseq_1(C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_fib_num2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  =>  (? [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  & r1_tarski(A, B)) ) ) ) ).
fof(t21_fib_num2, axiom, k1_pre_ff(2)=1).
fof(t22_fib_num2, axiom, k1_pre_ff(3)=2).
fof(t23_fib_num2, axiom, k1_pre_ff(4)=3).
fof(t24_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) => k1_pre_ff(k1_nat_1(A, 2))=k1_nat_1(k1_pre_ff(A), k1_pre_ff(k1_nat_1(A, 1)))) ) ).
fof(t25_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) => k1_pre_ff(k1_nat_1(A, 3))=k1_nat_1(k1_pre_ff(k1_nat_1(A, 2)), k1_pre_ff(k1_nat_1(A, 1)))) ) ).
fof(t26_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) => k1_pre_ff(k1_nat_1(A, 4))=k1_nat_1(k1_pre_ff(k1_nat_1(A, 2)), k1_pre_ff(k1_nat_1(A, 3)))) ) ).
fof(t27_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) => k1_pre_ff(k1_nat_1(A, 5))=k1_nat_1(k1_pre_ff(k1_nat_1(A, 3)), k1_pre_ff(k1_nat_1(A, 4)))) ) ).
fof(t28_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) => k1_pre_ff(k1_nat_1(A, 2))=k6_xcmplx_0(k1_pre_ff(k1_nat_1(A, 3)), k1_pre_ff(k1_nat_1(A, 1)))) ) ).
fof(t29_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) => k1_pre_ff(k1_nat_1(A, 1))=k6_xcmplx_0(k1_pre_ff(k1_nat_1(A, 2)), k1_pre_ff(A))) ) ).
fof(t30_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) => k1_pre_ff(A)=k6_xcmplx_0(k1_pre_ff(k1_nat_1(A, 2)), k1_pre_ff(k1_nat_1(A, 1)))) ) ).
fof(t31_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) => k6_xcmplx_0(k2_nat_1(k1_pre_ff(A), k1_pre_ff(k1_nat_1(A, 2))), k1_pepin(k1_pre_ff(k1_nat_1(A, 1))))=k1_newton(k4_xcmplx_0(1), k1_nat_1(A, 1))) ) ).
fof(t32_fib_num2, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  => k6_xcmplx_0(k2_nat_1(k1_pre_ff(k7_nat_d(A, 1)), k1_pre_ff(k1_nat_1(A, 1))), k1_pepin(k1_pre_ff(A)))=k1_newton(k4_xcmplx_0(1), A)) ) ).
fof(t33_fib_num2, axiom,  ~ (r1_xxreal_0(k1_fib_num, k5_numbers)) ).
fof(t34_fib_num2, axiom, k2_fib_num=k2_power(k4_xcmplx_0(k1_fib_num), k4_xcmplx_0(1))).
fof(t35_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) => k2_power(k4_xcmplx_0(k1_fib_num), k3_xcmplx_0(k4_xcmplx_0(1), A))=k2_power(k2_power(k4_xcmplx_0(k1_fib_num), k4_xcmplx_0(1)), A)) ) ).
fof(t36_fib_num2, axiom, k4_xcmplx_0(k7_xcmplx_0(1, k1_fib_num))=k2_fib_num).
fof(t37_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) => k2_xcmplx_0(k6_xcmplx_0(k1_square_1(k2_power(k1_fib_num, A)), k3_xcmplx_0(2, k2_power(k4_xcmplx_0(1), A))), k1_square_1(k2_power(k1_fib_num, k4_xcmplx_0(A))))=k1_square_1(k6_xcmplx_0(k2_power(k1_fib_num, A), k2_power(k2_fib_num, A)))) ) ).
fof(t38_fib_num2, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (r1_xxreal_0(B, A) => k6_xcmplx_0(k1_pepin(k1_pre_ff(A)), k2_nat_1(k1_pre_ff(k1_nat_1(A, B)), k1_pre_ff(k7_nat_d(A, B))))=k3_xcmplx_0(k1_newton(k4_xcmplx_0(1), k7_nat_d(A, B)), k1_pepin(k1_pre_ff(B)))) ) ) ) ) ).
fof(t39_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) => k1_nat_1(k1_pepin(k1_pre_ff(A)), k1_pepin(k1_pre_ff(k1_nat_1(A, 1))))=k1_pre_ff(k1_nat_1(k3_xcmplx_0(2, A), 1))) ) ).
fof(t40_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  => k1_pre_ff(k1_nat_1(A, B))=k1_nat_1(k2_nat_1(k1_pre_ff(B), k1_pre_ff(k1_nat_1(A, 1))), k2_nat_1(k1_pre_ff(k7_nat_d(B, 1)), k1_pre_ff(A)))) ) ) ) ).
fof(t41_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  => r1_nat_d(k1_pre_ff(B), k1_pre_ff(k3_xcmplx_0(B, A)))) ) ) ) ).
fof(t42_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (r1_nat_d(B, A) => r1_nat_d(k1_pre_ff(B), k1_pre_ff(A))) ) ) ) ) ).
fof(t43_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) => r1_xxreal_0(k1_pre_ff(A), k1_pre_ff(k1_nat_1(A, 1)))) ) ).
fof(t44_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (r1_xxreal_0(A, 1))  & r1_xxreal_0(k1_pre_ff(k1_nat_1(A, 1)), k1_pre_ff(A))) ) ) ) ).
fof(t45_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(B, A) => r1_xxreal_0(k1_pre_ff(B), k1_pre_ff(A))) ) ) ) ) ).
fof(t46_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(B, 1))  &  ( ~ (r1_xxreal_0(A, B))  & r1_xxreal_0(k1_pre_ff(A), k1_pre_ff(B))) ) ) ) ) ) ) ).
fof(t47_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (k1_pre_ff(A)=1 <=>  (A=1 | A=2) ) ) ) ).
fof(t48_fib_num2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ~ ( ( ~ (r1_xxreal_0(B, 1))  &  ( ~ (A=k5_numbers)  &  ( ~ (A=1)  &  ~ ( (k1_pre_ff(A)=k1_pre_ff(B) <=> A=B) ) ) ) ) ) ) ) ) ) ).
fof(t49_fib_num2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ~ ( ( ~ (r1_xxreal_0(A, 1))  &  ( ~ (A=4)  &  ( ~ (v1_int_2(A))  &  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  ~ ( ( ~ (B=1)  &  ( ~ (B=2)  &  ( ~ (B=A)  & r1_nat_d(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_fib_num2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (v1_int_2(k1_pre_ff(A)) =>  (r1_xxreal_0(A, 1) |  (A=4 | v1_int_2(A)) ) ) ) ) ).
fof(d2_fib_num2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  =>  (A=k2_fib_num2 <=>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k3_funct_2(k4_ordinal1, k4_ordinal1, A, B)=k1_pre_ff(B)) ) ) ) ) ).
fof(t51_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r2_tarski(k3_xcmplx_0(2, A), k3_fib_num2) &  ~ (r2_tarski(k1_nat_1(k3_xcmplx_0(2, A), 1), k3_fib_num2)) ) ) ) ).
fof(t52_fib_num2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (r2_tarski(k1_nat_1(k2_nat_1(2, A), 1), k4_fib_num2) &  ~ (r2_tarski(k2_nat_1(2, A), k4_fib_num2)) ) ) ) ).
fof(d5_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) => k5_fib_num2(A)=k1_fib_num2(k2_fib_num2, k3_xboole_0(k3_fib_num2, k2_finseq_1(A)))) ) ).
fof(d6_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) => k6_fib_num2(A)=k1_fib_num2(k2_fib_num2, k3_xboole_0(k4_fib_num2, k2_finseq_1(A)))) ) ).
fof(t53_fib_num2, axiom, k5_fib_num2(k5_numbers)=k1_xboole_0).
fof(t54_fib_num2, axiom, k15_finseq_1(k5_relat_1(k2_fib_num2, k6_domain_1(k4_ordinal1, 2)))=k12_finseq_1(k4_ordinal1, 1)).
fof(t55_fib_num2, axiom, k5_fib_num2(2)=k12_finseq_1(k4_ordinal1, 1)).
fof(t56_fib_num2, axiom, k5_fib_num2(4)=k10_finseq_1(1, 3)).
fof(t57_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) => k2_xboole_0(k3_xboole_0(k3_fib_num2, k2_finseq_1(k1_nat_1(k3_xcmplx_0(2, A), 2))), k6_domain_1(k4_ordinal1, k1_nat_1(k3_xcmplx_0(2, A), 4)))=k3_xboole_0(k3_fib_num2, k2_finseq_1(k1_nat_1(k3_xcmplx_0(2, A), 4)))) ) ).
fof(t58_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) => k2_xboole_0(k5_relat_1(k2_fib_num2, k3_xboole_0(k3_fib_num2, k2_finseq_1(k1_nat_1(k3_xcmplx_0(2, A), 2)))), k1_tarski(k1_domain_1(k4_ordinal1, k4_ordinal1, k1_nat_1(k3_xcmplx_0(2, A), 4), k3_funct_2(k4_ordinal1, k4_ordinal1, k2_fib_num2, k1_nat_1(k3_xcmplx_0(2, A), 4)))))=k5_relat_1(k2_fib_num2, k3_xboole_0(k3_fib_num2, k2_finseq_1(k1_nat_1(k3_xcmplx_0(2, A), 4))))) ) ).
fof(t59_fib_num2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => k5_fib_num2(k1_nat_1(k2_nat_1(2, A), 2))=k8_finseq_1(k4_ordinal1, k5_fib_num2(k2_nat_1(2, A)), k12_finseq_1(k4_ordinal1, k1_pre_ff(k1_nat_1(k2_nat_1(2, A), 2))))) ) ).
fof(t60_fib_num2, axiom, k6_fib_num2(1)=k12_finseq_1(k4_ordinal1, 1)).
fof(t61_fib_num2, axiom, k6_fib_num2(3)=k10_finseq_1(1, 2)).
fof(t62_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) => k2_xboole_0(k3_xboole_0(k4_fib_num2, k2_finseq_1(k1_nat_1(k3_xcmplx_0(2, A), 3))), k6_domain_1(k4_ordinal1, k1_nat_1(k3_xcmplx_0(2, A), 5)))=k3_xboole_0(k4_fib_num2, k2_finseq_1(k1_nat_1(k3_xcmplx_0(2, A), 5)))) ) ).
fof(t63_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) => k2_xboole_0(k5_relat_1(k2_fib_num2, k3_xboole_0(k4_fib_num2, k2_finseq_1(k1_nat_1(k3_xcmplx_0(2, A), 3)))), k1_tarski(k1_domain_1(k4_ordinal1, k4_ordinal1, k1_nat_1(k3_xcmplx_0(2, A), 5), k3_funct_2(k4_ordinal1, k4_ordinal1, k2_fib_num2, k1_nat_1(k3_xcmplx_0(2, A), 5)))))=k5_relat_1(k2_fib_num2, k3_xboole_0(k4_fib_num2, k2_finseq_1(k1_nat_1(k3_xcmplx_0(2, A), 5))))) ) ).
fof(t64_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) => k6_fib_num2(k1_nat_1(k3_xcmplx_0(2, A), 3))=k8_finseq_1(k4_ordinal1, k6_fib_num2(k1_nat_1(k3_xcmplx_0(2, A), 1)), k12_finseq_1(k4_ordinal1, k1_pre_ff(k1_nat_1(k3_xcmplx_0(2, A), 3))))) ) ).
fof(t65_fib_num2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => k16_rvsum_1(k5_fib_num2(k1_nat_1(k2_nat_1(2, A), 2)))=k6_xcmplx_0(k1_pre_ff(k1_nat_1(k2_nat_1(2, A), 3)), 1)) ) ).
fof(t66_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) => k16_rvsum_1(k6_fib_num2(k1_nat_1(k3_xcmplx_0(2, A), 1)))=k1_pre_ff(k1_nat_1(k3_xcmplx_0(2, A), 2))) ) ).
fof(t67_fib_num2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => r1_int_2(k1_pre_ff(A), k1_pre_ff(k1_nat_1(A, 1)))) ) ).
fof(t68_fib_num2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (B=1)  &  (r1_nat_d(B, k1_pre_ff(A)) & r1_nat_d(B, k1_pre_ff(k7_nat_d(A, 1)))) ) ) ) ) ) ) ).
fof(t69_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  ( (v1_int_2(A) &  (v1_int_2(B) & r1_nat_d(A, k1_pre_ff(B))) )  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(B, C))  &  ( ~ (C=k5_numbers)  & r1_nat_d(A, k1_pre_ff(C))) ) ) ) ) ) ) ) ) ) ).
fof(t70_fib_num2, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  => m1_pythtrip(k8_domain_1(k4_ordinal1, k2_nat_1(k1_pre_ff(A), k1_pre_ff(k1_nat_1(A, 3))), k2_nat_1(k2_nat_1(2, k1_pre_ff(k1_nat_1(A, 1))), k1_pre_ff(k1_nat_1(A, 2))), k1_nat_1(k1_pepin(k1_pre_ff(k1_nat_1(A, 1))), k1_pepin(k1_pre_ff(k1_nat_1(A, 2))))))) ) ).
fof(s1_fib_num2, axiom,  ( (p1_s1_fib_num2(1) &  (p1_s1_fib_num2(2) &  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ( (p1_s1_fib_num2(A) & p1_s1_fib_num2(k1_nat_1(A, 1)))  => p1_s1_fib_num2(k1_nat_1(A, 2))) ) ) ) )  =>  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => p1_s1_fib_num2(A)) ) ) ).
fof(s2_fib_num2, axiom,  ( (p1_s2_fib_num2(2) &  (p1_s2_fib_num2(3) &  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  ( (p1_s2_fib_num2(A) & p1_s2_fib_num2(k1_nat_1(A, 1)))  => p1_s2_fib_num2(k1_nat_1(A, 2))) ) ) ) )  =>  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  => p1_s2_fib_num2(A)) ) ) ).
fof(dt_k1_fib_num2, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  &  (v1_finset_1(B) &  (v1_setfam_1(B) & v6_membered(B)) ) )  => m2_finseq_1(k1_fib_num2(A, B), k4_ordinal1)) ) ).
fof(dt_k2_fib_num2, axiom,  (v1_funct_1(k2_fib_num2) &  (v1_funct_2(k2_fib_num2, k4_ordinal1, k4_ordinal1) & m1_subset_1(k2_fib_num2, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) ).
fof(dt_k3_fib_num2, axiom, m1_subset_1(k3_fib_num2, k1_zfmisc_1(k4_ordinal1))).
fof(dt_k4_fib_num2, axiom, m1_subset_1(k4_fib_num2, k1_zfmisc_1(k4_ordinal1))).
fof(dt_k5_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) => m2_finseq_1(k5_fib_num2(A), k4_ordinal1)) ) ).
fof(dt_k6_fib_num2, axiom,  (! [A] :  (v7_ordinal1(A) => m2_finseq_1(k6_fib_num2(A), k4_ordinal1)) ) ).
fof(d3_fib_num2, axiom, k3_fib_num2=a_0_0_fib_num2).
fof(d4_fib_num2, axiom, k4_fib_num2=a_0_1_fib_num2).
fof(fraenkel_a_0_0_fib_num2, axiom,  (! [A] :  (r2_hidden(A, a_0_0_fib_num2) <=>  (? [B] :  (v7_ordinal1(B) & A=k3_xcmplx_0(2, B)) ) ) ) ).
fof(fraenkel_a_0_1_fib_num2, axiom,  (! [A] :  (r2_hidden(A, a_0_1_fib_num2) <=>  (? [B] :  (m1_subset_1(B, k4_ordinal1) & A=k1_nat_1(k2_nat_1(2, B), 1)) ) ) ) ).
fof(fc1_fib_num3, axiom,  (v1_xreal_0(k1_fib_num) & v2_xxreal_0(k1_fib_num)) ).
fof(fc2_fib_num3, axiom,  (v1_xreal_0(k2_fib_num) & v3_xxreal_0(k2_fib_num)) ).
fof(fc3_fib_num3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v2_xxreal_0(k1_fib_num3(A))) ) ).
fof(t1_fib_num3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (k2_power(A, B)=k5_numbers => A=k5_numbers) ) ) ) ) ).
fof(t2_fib_num3, axiom,  (! [A] :  ( (v1_xreal_0(A) &  ~ (v3_xxreal_0(A)) )  => k3_xcmplx_0(k3_square_1(A), k3_square_1(A))=A) ) ).
fof(t3_fib_num3, axiom,  (! [A] :  (v1_xreal_0(A) => k2_power(A, 2)=k2_power(k4_xcmplx_0(A), 2)) ) ).
fof(t4_fib_num3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => k1_nat_1(k7_nat_d(A, 1), 2)=k7_nat_d(k1_nat_1(A, 2), 1)) ) ).
fof(t5_fib_num3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k11_newton(k1_nat_1(A, B), 2)=k1_nat_1(k1_nat_1(k1_nat_1(k2_nat_1(A, A), k2_nat_1(A, B)), k2_nat_1(A, B)), k2_nat_1(B, B))) ) ) ) ).
fof(t6_fib_num3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & v1_xreal_0(B))  => k2_power(k2_power(B, A), 2)=k2_power(B, k2_nat_1(2, A))) ) ) ) ).
fof(t7_fib_num3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k3_xcmplx_0(k2_xcmplx_0(A, B), k6_xcmplx_0(A, B))=k6_xcmplx_0(k2_power(A, 2), k2_power(B, 2))) ) ) ) ).
fof(t8_fib_num3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & v1_xreal_0(B))  =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & v1_xreal_0(C))  => k2_power(k3_xcmplx_0(B, C), A)=k3_xcmplx_0(k2_power(B, A), k2_power(C, A))) ) ) ) ) ) ).
fof(t9_fib_num3, axiom,  (! [A] :  (v7_ordinal1(A) => k2_xcmplx_0(k2_power(k1_fib_num, A), k2_power(k1_fib_num, k1_nat_1(A, 1)))=k2_power(k1_fib_num, k1_nat_1(A, 2))) ) ).
fof(t10_fib_num3, axiom,  (! [A] :  (v7_ordinal1(A) => k2_xcmplx_0(k2_power(k2_fib_num, A), k2_power(k2_fib_num, k1_nat_1(A, 1)))=k2_power(k2_fib_num, k1_nat_1(A, 2))) ) ).
fof(d1_fib_num3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (B=k1_fib_num3(A) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_zfmisc_1(k4_ordinal1, k4_ordinal1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_zfmisc_1(k4_ordinal1, k4_ordinal1))))) )  &  (B=k2_domain_1(k4_ordinal1, k4_ordinal1, k8_nat_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), C, A)) &  (k3_funct_2(k4_ordinal1, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), C, k5_numbers)=k1_domain_1(k4_ordinal1, k4_ordinal1, 2, 1) &  (! [D] :  (v7_ordinal1(D) => k3_funct_2(k4_ordinal1, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), C, k1_nat_1(D, 1))=k1_domain_1(k4_ordinal1, k4_ordinal1, k3_domain_1(k4_ordinal1, k4_ordinal1, k8_nat_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), C, D)), k1_nat_1(k2_domain_1(k4_ordinal1, k4_ordinal1, k8_nat_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), C, D)), k3_domain_1(k4_ordinal1, k4_ordinal1, k8_nat_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), C, D))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_fib_num3, axiom,  (k1_fib_num3(k5_numbers)=2 &  (k1_fib_num3(1)=1 &  (! [A] :  (v7_ordinal1(A) => k1_fib_num3(k1_nat_1(k1_nat_1(A, 1), 1))=k1_nat_1(k1_fib_num3(A), k1_fib_num3(k1_nat_1(A, 1)))) ) ) ) ).
fof(t12_fib_num3, axiom,  (! [A] :  (v7_ordinal1(A) => k1_fib_num3(k1_nat_1(A, 2))=k1_nat_1(k1_fib_num3(A), k1_fib_num3(k1_nat_1(A, 1)))) ) ).
fof(t13_fib_num3, axiom,  (! [A] :  (v7_ordinal1(A) => k1_nat_1(k1_fib_num3(k1_nat_1(A, 1)), k1_fib_num3(k1_nat_1(A, 2)))=k1_fib_num3(k1_nat_1(A, 3))) ) ).
fof(t14_fib_num3, axiom, k1_fib_num3(2)=3).
fof(t15_fib_num3, axiom, k1_fib_num3(3)=4).
fof(t16_fib_num3, axiom, k1_fib_num3(4)=7).
fof(t17_fib_num3, axiom,  (! [A] :  (v7_ordinal1(A) => r1_xxreal_0(A, k1_fib_num3(A))) ) ).
fof(t18_fib_num3, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  => r1_xxreal_0(k1_fib_num3(A), k1_fib_num3(k1_nat_1(A, 1)))) ) ).
fof(t19_fib_num3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => k2_nat_1(2, k1_fib_num3(k1_nat_1(A, 2)))=k1_nat_1(k1_fib_num3(A), k1_fib_num3(k1_nat_1(A, 3)))) ) ).
fof(t20_fib_num3, axiom,  (! [A] :  (v7_ordinal1(A) => k1_fib_num3(k1_nat_1(A, 1))=k1_nat_1(k1_pre_ff(A), k1_pre_ff(k1_nat_1(A, 2)))) ) ).
fof(t21_fib_num3, axiom,  (! [A] :  (v7_ordinal1(A) => k1_fib_num3(A)=k2_xcmplx_0(k2_power(k1_fib_num, A), k2_power(k2_fib_num, A))) ) ).
fof(t22_fib_num3, axiom,  (! [A] :  (v7_ordinal1(A) => k1_nat_1(k2_nat_1(2, k1_fib_num3(A)), k1_fib_num3(k1_nat_1(A, 1)))=k2_nat_1(5, k1_pre_ff(k1_nat_1(A, 1)))) ) ).
fof(t23_fib_num3, axiom,  (! [A] :  (v7_ordinal1(A) => k6_xcmplx_0(k1_fib_num3(k1_nat_1(A, 3)), k2_nat_1(2, k1_fib_num3(A)))=k2_nat_1(5, k1_pre_ff(A))) ) ).
fof(t24_fib_num3, axiom,  (! [A] :  (v7_ordinal1(A) => k1_nat_1(k1_fib_num3(A), k1_pre_ff(A))=k2_nat_1(2, k1_pre_ff(k1_nat_1(A, 1)))) ) ).
fof(t25_fib_num3, axiom,  (! [A] :  (v7_ordinal1(A) => k1_nat_1(k2_nat_1(3, k1_pre_ff(A)), k1_fib_num3(A))=k2_nat_1(2, k1_pre_ff(k1_nat_1(A, 2)))) ) ).
fof(t26_fib_num3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k2_nat_1(2, k1_fib_num3(k1_nat_1(A, B)))=k1_nat_1(k2_nat_1(k1_fib_num3(A), k1_fib_num3(B)), k2_nat_1(k2_nat_1(5, k1_pre_ff(A)), k1_pre_ff(B)))) ) ) ) ).
fof(t27_fib_num3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => k2_nat_1(k1_fib_num3(k1_nat_1(A, 3)), k1_fib_num3(A))=k6_xcmplx_0(k11_newton(k1_fib_num3(k1_nat_1(A, 2)), 2), k11_newton(k1_fib_num3(k1_nat_1(A, 1)), 2))) ) ).
fof(t28_fib_num3, axiom,  (! [A] :  (v7_ordinal1(A) => k1_pre_ff(k3_xcmplx_0(2, A))=k2_nat_1(k1_pre_ff(A), k1_fib_num3(A))) ) ).
fof(t29_fib_num3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => k2_nat_1(2, k1_pre_ff(k1_nat_1(k2_nat_1(2, A), 1)))=k1_nat_1(k2_nat_1(k1_fib_num3(k1_nat_1(A, 1)), k1_pre_ff(A)), k2_nat_1(k1_fib_num3(A), k1_pre_ff(k1_nat_1(A, 1))))) ) ).
fof(t30_fib_num3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => k6_xcmplx_0(k2_nat_1(5, k11_newton(k1_pre_ff(A), 2)), k11_newton(k1_fib_num3(A), 2))=k3_xcmplx_0(4, k2_power(k4_xcmplx_0(1), k1_nat_1(A, 1)))) ) ).
fof(t31_fib_num3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => k1_pre_ff(k1_nat_1(k2_nat_1(2, A), 1))=k6_xcmplx_0(k2_nat_1(k1_pre_ff(k1_nat_1(A, 1)), k1_fib_num3(k1_nat_1(A, 1))), k2_nat_1(k1_pre_ff(A), k1_fib_num3(A)))) ) ).
fof(d2_fib_num3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (D=k3_fib_num3(A, B, C) <=>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k2_zfmisc_1(k4_ordinal1, k4_ordinal1)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_zfmisc_1(k4_ordinal1, k4_ordinal1))))) )  &  (D=k2_domain_1(k4_ordinal1, k4_ordinal1, k8_nat_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), E, C)) &  (k3_funct_2(k4_ordinal1, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), E, k5_numbers)=k2_fib_num3(A, B) &  (! [F] :  (v7_ordinal1(F) => k3_funct_2(k4_ordinal1, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), E, k1_nat_1(F, 1))=k2_fib_num3(k3_domain_1(k4_ordinal1, k4_ordinal1, k8_nat_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), E, F)), k1_nat_1(k2_domain_1(k4_ordinal1, k4_ordinal1, k8_nat_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), E, F)), k3_domain_1(k4_ordinal1, k4_ordinal1, k8_nat_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), E, F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_fib_num3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (k3_fib_num3(A, B, k5_numbers)=A &  (k3_fib_num3(A, B, 1)=B &  (! [C] :  (v7_ordinal1(C) => k3_fib_num3(A, B, k1_nat_1(k1_nat_1(C, 1), 1))=k1_nat_1(k3_fib_num3(A, B, C), k3_fib_num3(A, B, k1_nat_1(C, 1)))) ) ) ) ) ) ) ) ).
fof(t33_fib_num3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (v7_ordinal1(C) => k11_newton(k1_nat_1(k3_fib_num3(A, B, k1_nat_1(C, 1)), k3_fib_num3(A, B, k1_nat_1(k1_nat_1(C, 1), 1))), 2)=k1_nat_1(k1_nat_1(k11_newton(k3_fib_num3(A, B, k1_nat_1(C, 1)), 2), k2_nat_1(k2_nat_1(2, k3_fib_num3(A, B, k1_nat_1(C, 1))), k3_fib_num3(A, B, k1_nat_1(k1_nat_1(C, 1), 1)))), k11_newton(k3_fib_num3(A, B, k1_nat_1(k1_nat_1(C, 1), 1)), 2))) ) ) ) ) ) ).
fof(t34_fib_num3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k1_nat_1(k3_fib_num3(A, B, C), k3_fib_num3(A, B, k1_nat_1(C, 1)))=k3_fib_num3(A, B, k1_nat_1(C, 2))) ) ) ) ) ) ).
fof(t35_fib_num3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k1_nat_1(k3_fib_num3(A, B, k1_nat_1(C, 1)), k3_fib_num3(A, B, k1_nat_1(C, 2)))=k3_fib_num3(A, B, k1_nat_1(C, 3))) ) ) ) ) ) ).
fof(t36_fib_num3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => k1_nat_1(k3_fib_num3(A, B, k1_nat_1(C, 2)), k3_fib_num3(A, B, k1_nat_1(C, 3)))=k3_fib_num3(A, B, k1_nat_1(C, 4))) ) ) ) ) ) ).
fof(t37_fib_num3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => k3_fib_num3(k5_numbers, 1, A)=k1_pre_ff(A)) ) ).
fof(t38_fib_num3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => k3_fib_num3(2, 1, A)=k1_fib_num3(A)) ) ).
fof(t39_fib_num3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => k1_nat_1(k3_fib_num3(A, B, C), k3_fib_num3(A, B, k1_nat_1(C, 3)))=k2_nat_1(2, k3_fib_num3(A, B, k1_nat_1(C, 2)))) ) ) ) ) ) ).
fof(t40_fib_num3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => k1_nat_1(k3_fib_num3(A, B, C), k3_fib_num3(A, B, k1_nat_1(C, 4)))=k2_nat_1(3, k3_fib_num3(A, B, k1_nat_1(C, 2)))) ) ) ) ) ) ).
fof(t41_fib_num3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => k6_xcmplx_0(k3_fib_num3(A, B, k1_nat_1(C, 3)), k3_fib_num3(A, B, C))=k2_nat_1(2, k3_fib_num3(A, B, k1_nat_1(C, 1)))) ) ) ) ) ) ).
fof(t42_fib_num3, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & m1_subset_1(C, k4_ordinal1))  => k3_fib_num3(A, B, C)=k1_nat_1(k2_nat_1(k3_fib_num3(A, B, k5_numbers), k1_pre_ff(k7_nat_d(C, 1))), k2_nat_1(k3_fib_num3(A, B, 1), k1_pre_ff(C)))) ) ) ) ) ) ).
fof(t43_fib_num3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k1_nat_1(k2_nat_1(k1_pre_ff(B), k1_fib_num3(A)), k2_nat_1(k1_fib_num3(B), k1_pre_ff(A)))=k3_fib_num3(k1_pre_ff(k5_numbers), k1_fib_num3(k5_numbers), k2_xcmplx_0(A, B))) ) ) ) ).
fof(t44_fib_num3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => k1_nat_1(k1_fib_num3(A), k1_fib_num3(k1_nat_1(A, 3)))=k2_nat_1(2, k1_fib_num3(k1_nat_1(A, 2)))) ) ).
fof(t45_fib_num3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k3_fib_num3(A, A, B)=k3_xcmplx_0(k7_xcmplx_0(k3_fib_num3(A, A, k5_numbers), 2), k1_nat_1(k1_pre_ff(B), k1_fib_num3(B)))) ) ) ) ).
fof(t46_fib_num3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => k3_fib_num3(B, k1_nat_1(A, B), C)=k3_fib_num3(A, B, k1_nat_1(C, 1))) ) ) ) ) ) ).
fof(t47_fib_num3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => k6_xcmplx_0(k2_nat_1(k3_fib_num3(A, B, k1_nat_1(C, 2)), k3_fib_num3(A, B, C)), k11_newton(k3_fib_num3(A, B, k1_nat_1(C, 1)), 2))=k3_xcmplx_0(k2_power(k4_xcmplx_0(1), C), k6_xcmplx_0(k11_newton(k3_fib_num3(A, B, 2), 2), k2_nat_1(k3_fib_num3(A, B, 1), k3_fib_num3(A, B, 3))))) ) ) ) ) ) ).
fof(t48_fib_num3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => k3_fib_num3(k3_fib_num3(A, B, C), k3_fib_num3(A, B, k1_nat_1(C, 1)), D)=k3_fib_num3(A, B, k1_nat_1(D, C))) ) ) ) ) ) ) ) ).
fof(t49_fib_num3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => k3_fib_num3(A, B, k1_nat_1(C, 1))=k1_nat_1(k2_nat_1(A, k1_pre_ff(C)), k2_nat_1(B, k1_pre_ff(k1_nat_1(C, 1))))) ) ) ) ) ) ).
fof(t50_fib_num3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k3_fib_num3(k5_numbers, A, B)=k2_nat_1(A, k1_pre_ff(B))) ) ) ) ).
fof(t51_fib_num3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k3_fib_num3(A, k5_numbers, k1_nat_1(B, 1))=k2_nat_1(A, k1_pre_ff(B))) ) ) ) ).
fof(t52_fib_num3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) => k1_nat_1(k3_fib_num3(A, B, E), k3_fib_num3(C, D, E))=k3_fib_num3(k1_nat_1(A, C), k1_nat_1(B, D), E)) ) ) ) ) ) ) ) ) ) ).
fof(t53_fib_num3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => k3_fib_num3(k2_nat_1(C, A), k2_nat_1(C, B), D)=k2_nat_1(C, k3_fib_num3(A, B, D))) ) ) ) ) ) ) ) ).
fof(t54_fib_num3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => k3_fib_num3(A, B, C)=k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A, k4_xcmplx_0(k2_fib_num)), B), k2_power(k1_fib_num, C)), k3_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(A, k1_fib_num), B), k2_power(k2_fib_num, C))), k3_square_1(5))) ) ) ) ) ) ).
fof(t55_fib_num3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k3_fib_num3(k1_nat_1(k2_nat_1(2, A), 1), k1_nat_1(k2_nat_1(2, A), 1), k1_nat_1(B, 1))=k2_nat_1(k1_nat_1(k2_nat_1(2, A), 1), k1_pre_ff(k1_nat_1(B, 2)))) ) ) ) ).
fof(dt_k1_fib_num3, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k1_fib_num3(A), k4_ordinal1)) ) ).
fof(dt_k2_fib_num3, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => m1_subset_1(k2_fib_num3(A, B), k2_zfmisc_1(k4_ordinal1, k4_ordinal1))) ) ).
fof(redefinition_k2_fib_num3, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => k2_fib_num3(A, B)=k4_tarski(A, B)) ) ).
fof(dt_k3_fib_num3, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) & v7_ordinal1(C)) )  => m1_subset_1(k3_fib_num3(A, B, C), k4_ordinal1)) ) ).
fof(t1_fib_num4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) => k2_power(k7_xcmplx_0(A, B), C)=k7_xcmplx_0(k2_power(A, C), k2_power(B, C))) ) ) ) ) ) ).
fof(t2_fib_num4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ( ~ (A=k5_numbers)  => k2_power(A, k2_xcmplx_0(B, C))=k3_xcmplx_0(k2_power(A, B), k2_power(A, C))) ) ) ) ) ) ) ).
fof(t3_fib_num4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (v1_abian(A) =>  (B=k5_numbers | k2_power(k4_xcmplx_0(B), A)=k2_power(B, A)) ) ) ) ) ) ).
fof(t4_fib_num4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (v1_abian(A))  &  ( ~ (B=k5_numbers)  &  ~ (k2_power(k4_xcmplx_0(B), A)=k4_xcmplx_0(k2_power(B, A))) ) ) ) ) ) ) ) ).
fof(t5_fib_num4, axiom,  ~ (r1_xxreal_0(1, k9_complex1(k2_fib_num))) ).
fof(t6_fib_num4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & v1_xreal_0(B))  =>  ~ ( (v1_abian(A) & r1_xxreal_0(k2_power(B, A), k5_numbers)) ) ) ) ) ) ).
fof(t7_fib_num4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (v1_abian(A))  &  ( ~ (r1_xxreal_0(k5_numbers, B))  & r1_xxreal_0(k5_numbers, k2_power(B, A))) ) ) ) ) ) ) ).
fof(t8_fib_num4, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (A=k5_numbers)  & r1_xxreal_0(k7_xcmplx_0(1, 2), k2_power(k2_fib_num, A))) ) ) ) ).
fof(t9_fib_num4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_xreal_0(C) =>  (r1_xxreal_0(B, A) =>  (v1_abian(B) |  (r1_xxreal_0(k5_numbers, C) |  (r1_xxreal_0(C, k4_xcmplx_0(1)) | r1_xxreal_0(k2_power(C, B), k2_power(C, A))) ) ) ) ) ) ) ) ) ) ).
fof(t10_fib_num4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(B, A) =>  (v1_abian(B) | r1_xxreal_0(k2_power(k2_fib_num, B), k2_power(k2_fib_num, A))) ) ) ) ) ) ).
fof(t11_fib_num4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (v1_abian(A) &  (v1_abian(B) & r1_xxreal_0(B, A)) )  => r1_xxreal_0(k2_power(k2_fib_num, A), k2_power(k2_fib_num, B))) ) ) ) ) ).
fof(t12_fib_num4, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (r1_xxreal_0(B, A) => r1_xxreal_0(k1_fib_num3(B), k1_fib_num3(A))) ) ) ) ) ).
fof(t13_fib_num4, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ~ (r1_xxreal_0(k2_power(k1_fib_num, A), k2_power(k2_fib_num, A))) ) ) ).
fof(t14_fib_num4, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (r1_xxreal_0(A, 1))  & r1_xxreal_0(k2_power(k2_fib_num, A), k4_xcmplx_0(k7_xcmplx_0(1, 2)))) ) ) ) ).
fof(t15_fib_num4, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, 2))  => r1_xxreal_0(k4_xcmplx_0(k7_xcmplx_0(1, k3_square_1(5))), k2_power(k2_fib_num, A))) ) ) ).
fof(t16_fib_num4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(2, A) => r1_xxreal_0(k2_power(k2_fib_num, A), k7_xcmplx_0(1, k3_square_1(5)))) ) ) ).
fof(t17_fib_num4, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(k2_xcmplx_0(k7_xcmplx_0(k2_power(k2_fib_num, A), k3_square_1(5)), k7_xcmplx_0(1, 2)), k5_numbers))  &  ~ (r1_xxreal_0(1, k2_xcmplx_0(k7_xcmplx_0(k2_power(k2_fib_num, A), k3_square_1(5)), k7_xcmplx_0(1, 2)))) ) ) ) ).
fof(t18_fib_num4, axiom,  (! [A] :  (v7_ordinal1(A) => k1_int_1(k2_xcmplx_0(k7_xcmplx_0(k2_power(k1_fib_num, A), k3_square_1(5)), k7_xcmplx_0(1, 2)))=k1_pre_ff(A)) ) ).
fof(t19_fib_num4, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (A=k5_numbers)  => k2_int_1(k6_xcmplx_0(k7_xcmplx_0(k2_power(k1_fib_num, A), k3_square_1(5)), k7_xcmplx_0(1, 2)))=k1_pre_ff(A)) ) ) ).
fof(t20_fib_num4, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (A=k5_numbers)  => k1_int_1(k7_xcmplx_0(k2_power(k1_fib_num, k3_xcmplx_0(2, A)), k3_square_1(5)))=k1_pre_ff(k3_xcmplx_0(2, A))) ) ) ).
fof(t21_fib_num4, axiom,  (! [A] :  (v7_ordinal1(A) => k2_int_1(k7_xcmplx_0(k2_power(k1_fib_num, k2_xcmplx_0(k3_xcmplx_0(2, A), 1)), k3_square_1(5)))=k1_pre_ff(k2_xcmplx_0(k3_xcmplx_0(2, A), 1))) ) ).
fof(t22_fib_num4, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( (r1_xxreal_0(2, A) & v1_abian(A))  => k1_pre_ff(k2_xcmplx_0(A, 1))=k1_int_1(k2_xcmplx_0(k3_xcmplx_0(k1_fib_num, k1_pre_ff(A)), 1))) ) ) ).
fof(t23_fib_num4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(2, A) =>  (v1_abian(A) | k1_pre_ff(k2_xcmplx_0(A, 1))=k2_int_1(k6_xcmplx_0(k3_xcmplx_0(k1_fib_num, k1_pre_ff(A)), 1))) ) ) ) ).
fof(t24_fib_num4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(2, A) => k1_pre_ff(k2_xcmplx_0(A, 1))=k1_int_1(k7_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_pre_ff(A), k3_xcmplx_0(k3_square_1(5), k1_pre_ff(A))), 1), 2))) ) ) ).
fof(t25_fib_num4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(2, A) => k1_pre_ff(k2_xcmplx_0(A, 1))=k2_int_1(k7_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k1_pre_ff(A), k3_xcmplx_0(k3_square_1(5), k1_pre_ff(A))), 1), 2))) ) ) ).
fof(t26_fib_num4, axiom,  (! [A] :  (v7_ordinal1(A) => k1_pre_ff(k2_xcmplx_0(A, 1))=k7_xcmplx_0(k2_xcmplx_0(k1_pre_ff(A), k3_square_1(k2_xcmplx_0(k3_xcmplx_0(5, k1_pepin(k1_pre_ff(A))), k3_xcmplx_0(4, k2_power(k4_xcmplx_0(1), A))))), 2)) ) ).
fof(t27_fib_num4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(2, A) => k1_pre_ff(k2_xcmplx_0(A, 1))=k1_int_1(k7_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_pre_ff(A), 1), k3_square_1(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(5, k1_pepin(k1_pre_ff(A))), k3_xcmplx_0(2, k1_pre_ff(A))), 1))), 2))) ) ) ).
fof(t28_fib_num4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(2, A) => k1_pre_ff(A)=k1_int_1(k3_xcmplx_0(k7_xcmplx_0(1, k1_fib_num), k2_xcmplx_0(k1_pre_ff(k2_xcmplx_0(A, 1)), k7_xcmplx_0(1, 2))))) ) ) ).
fof(t29_fib_num4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ( (r1_xxreal_0(B, A) &  ~ (r1_xxreal_0(B, 1)) )  |  (B=1 &  ~ (r1_xxreal_0(A, B)) ) )  => k1_int_1(k2_xcmplx_0(k3_xcmplx_0(k2_power(k1_fib_num, B), k1_pre_ff(A)), k7_xcmplx_0(1, 2)))=k1_pre_ff(k2_xcmplx_0(A, B))) ) ) ) ) ).
fof(t30_fib_num4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(2, A) => k1_fib_num3(A)=k1_int_1(k2_xcmplx_0(k2_power(k1_fib_num, A), k7_xcmplx_0(1, 2)))) ) ) ).
fof(t31_fib_num4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(2, A) => k1_fib_num3(A)=k2_int_1(k6_xcmplx_0(k2_power(k1_fib_num, A), k7_xcmplx_0(1, 2)))) ) ) ).
fof(t32_fib_num4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(2, A) => k1_fib_num3(k3_xcmplx_0(2, A))=k2_int_1(k2_power(k1_fib_num, k3_xcmplx_0(2, A)))) ) ) ).
fof(t33_fib_num4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(2, A) => k1_fib_num3(k2_xcmplx_0(k3_xcmplx_0(2, A), 1))=k1_int_1(k2_power(k1_fib_num, k2_xcmplx_0(k3_xcmplx_0(2, A), 1)))) ) ) ).
fof(t34_fib_num4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(2, A) =>  (v1_abian(A) | k1_fib_num3(k2_xcmplx_0(A, 1))=k1_int_1(k2_xcmplx_0(k3_xcmplx_0(k1_fib_num, k1_fib_num3(A)), 1))) ) ) ) ).
fof(t35_fib_num4, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( (r1_xxreal_0(2, A) & v1_abian(A))  => k1_fib_num3(k2_xcmplx_0(A, 1))=k2_int_1(k6_xcmplx_0(k3_xcmplx_0(k1_fib_num, k1_fib_num3(A)), 1))) ) ) ).
fof(t36_fib_num4, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (A=1)  => k1_fib_num3(k2_xcmplx_0(A, 1))=k7_xcmplx_0(k2_xcmplx_0(k1_fib_num3(A), k3_square_1(k3_xcmplx_0(5, k6_xcmplx_0(k1_pepin(k1_fib_num3(A)), k3_xcmplx_0(4, k2_power(k4_xcmplx_0(1), A)))))), 2)) ) ) ).
fof(t37_fib_num4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(4, A) => k1_fib_num3(k2_xcmplx_0(A, 1))=k1_int_1(k7_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_fib_num3(A), 1), k3_square_1(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(5, k1_pepin(k1_fib_num3(A))), k3_xcmplx_0(2, k1_fib_num3(A))), 1))), 2))) ) ) ).
fof(t38_fib_num4, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, 2))  => k1_fib_num3(A)=k1_int_1(k3_xcmplx_0(k7_xcmplx_0(1, k1_fib_num), k2_xcmplx_0(k1_fib_num3(k2_xcmplx_0(A, 1)), k7_xcmplx_0(1, 2))))) ) ) ).
fof(t39_fib_num4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(4, A) & r1_xxreal_0(1, B))  =>  (r1_xxreal_0(A, B) |  (v1_abian(A) | k1_fib_num3(k2_xcmplx_0(A, B))=k1_int_1(k2_xcmplx_0(k3_xcmplx_0(k2_power(k1_fib_num, B), k1_fib_num3(A)), 1))) ) ) ) ) ) ) ).
fof(t1_filerec1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (k7_finseq_1(k7_finseq_1(k7_finseq_1(A, B), C), D)=k7_finseq_1(k7_finseq_1(A, k7_finseq_1(B, C)), D) &  (k7_finseq_1(k7_finseq_1(k7_finseq_1(A, B), C), D)=k7_finseq_1(k7_finseq_1(A, B), k7_finseq_1(C, D)) & k7_finseq_1(k7_finseq_1(A, k7_finseq_1(B, C)), D)=k7_finseq_1(k7_finseq_1(A, B), k7_finseq_1(C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t2_filerec1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k16_finseq_1(k3_finseq_1(A), A)=A) ) ).
fof(t3_filerec1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (k3_finseq_1(A)=k5_numbers => B=k7_finseq_1(A, B)) ) ) ) ) ).
fof(t4_filerec1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r1_xxreal_0(C, D) => r1_xxreal_0(k3_finseq_1(k2_rfinseq(A, D, B)), k3_finseq_1(k2_rfinseq(A, C, B)))) ) ) ) ) ) ) ) ) ).
fof(t5_filerec1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r1_xxreal_0(1, k3_finseq_1(C)) => k3_finseq_6(A, k8_finseq_1(A, B, C), k1_nat_1(k3_finseq_1(B), 1), k1_nat_1(k3_finseq_1(B), k3_finseq_1(C)))=C) ) ) ) ) ) ) ).
fof(t6_filerec1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, E) & r1_xxreal_0(E, k3_finseq_1(B))) )  => k3_finseq_6(A, k8_finseq_1(A, B, C), D, E)=k3_finseq_6(A, B, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_filerec1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, D) &  (r1_xxreal_0(C, k3_finseq_1(k17_finseq_1(A, E, B))) & r1_xxreal_0(D, k3_finseq_1(k17_finseq_1(A, E, B)))) ) )  => k3_finseq_6(A, B, C, D)=k3_finseq_6(A, k17_finseq_1(A, E, B), C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_filerec1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, B) =>  (C=k9_finseq_1(A) => r2_hidden(A, B)) ) ) ) ) ) ).
fof(t9_filerec1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m2_finseq_1(D, C) =>  (D=k10_finseq_1(A, B) =>  (r2_hidden(A, C) & r2_hidden(B, C)) ) ) ) ) ) ) ) ).
fof(t10_filerec1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m2_finseq_1(E, D) =>  (E=k11_finseq_1(A, B, C) =>  (r2_hidden(A, D) &  (r2_hidden(B, D) & r2_hidden(C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t11_filerec1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (B=k9_finseq_1(A) => k16_finseq_1(1, B)=k9_finseq_1(A)) ) ) ) ).
fof(t12_filerec1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m2_finseq_1(D, C) =>  (D=k10_finseq_1(A, B) => k2_rfinseq(C, 1, D)=k9_finseq_1(B)) ) ) ) ) ) ) ).
fof(t13_filerec1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m2_finseq_1(E, D) =>  (E=k11_finseq_1(A, B, C) => k17_finseq_1(D, 1, E)=k9_finseq_1(A)) ) ) ) ) ) ) ) ).
fof(t14_filerec1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m2_finseq_1(E, D) =>  (E=k11_finseq_1(A, B, C) => k17_finseq_1(D, 2, E)=k10_finseq_1(A, B)) ) ) ) ) ) ) ) ).
fof(t15_filerec1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m2_finseq_1(E, D) =>  (E=k11_finseq_1(A, B, C) => k2_rfinseq(D, 1, E)=k10_finseq_1(B, C)) ) ) ) ) ) ) ) ).
fof(t16_filerec1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m2_finseq_1(E, D) =>  (E=k11_finseq_1(A, B, C) => k2_rfinseq(D, 2, E)=k9_finseq_1(C)) ) ) ) ) ) ) ) ).
fof(t17_filerec1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (k3_finseq_1(A)=k5_numbers => k3_finseq_5(A)=A) ) ) ).
fof(t18_filerec1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r1_xxreal_0(C, k3_finseq_1(B)) => k4_finseq_5(A, k2_rfinseq(A, C, B))=k17_finseq_1(A, k7_nat_d(k3_finseq_1(B), C), k4_finseq_5(A, B))) ) ) ) ) ) ) ).
fof(t19_filerec1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r1_finseq_8(A, C) =>  (r2_finseq_8(B, C, 1) | k7_finseq_8(A, k8_finseq_1(A, B, C), C, 1)=k1_nat_1(k3_finseq_1(B), 1)) ) ) ) ) ) ) ) ).
fof(t20_filerec1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r1_finseq_8(A, C) =>  (r2_finseq_8(B, C, 1) | r4_finseq_8(A, k8_finseq_1(A, B, C), C)) ) ) ) ) ) ) ) ).
fof(d1_filerec1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_finseq_1(B, A) =>  (! [C] :  (m1_finseq_1(C, A) =>  (! [D] :  (m1_finseq_1(D, A) =>  (r1_filerec1(A, B, C, D) <=>  ( (r2_finseq_8(k8_finseq_8(A, C, D), k8_finseq_1(A, D, B), 1) | r1_tarski(B, k8_finseq_8(A, C, D)))  & r4_finseq_8(A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t21_filerec1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (k3_finseq_8(A, k6_finseq_1(A), B)=k6_finseq_1(A) & k3_finseq_8(A, B, k6_finseq_1(A))=k6_finseq_1(A)) ) ) ) ) ).
fof(t22_filerec1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) => r1_filerec1(A, B, k6_finseq_1(A), B)) ) ) ) ).
fof(t23_filerec1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (! [D] :  (m1_finseq_1(D, A) =>  (! [E] :  (m1_finseq_1(E, A) =>  (! [F] :  (m1_finseq_1(F, A) =>  ( (F=k9_finseq_1(C) &  (D=k11_finseq_1(C, B, C) & E=k10_finseq_1(B, C)) )  =>  (B=C |  (r1_filerec1(A, F, D, F) & r1_filerec1(A, E, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_filerec1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_finseq_1(B, A) =>  (! [C] :  (m1_finseq_1(C, A) => r1_tarski(B, k8_finseq_1(A, B, C))) ) ) ) ) ) ).
fof(t25_filerec1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_finseq_1(B, A) =>  (! [C] :  (m1_finseq_1(C, A) => r1_tarski(B, k8_finseq_8(A, B, C))) ) ) ) ) ) ).
fof(t26_filerec1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_finseq_1(B, A) =>  (! [C] :  (m1_finseq_1(C, A) =>  (r3_finseq_8(B, C) => r1_xxreal_0(k5_numbers, k6_xcmplx_0(k3_finseq_1(B), k3_finseq_1(C)))) ) ) ) ) ) ) ).
fof(t27_filerec1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_finseq_1(B, A) =>  (! [C] :  (m1_finseq_1(C, A) =>  (r3_finseq_8(C, B) => C=k8_finseq_8(A, C, B)) ) ) ) ) ) ) ).
fof(t28_filerec1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_finseq_1(B, A) =>  (! [C] :  (m1_finseq_1(C, A) =>  (r4_finseq_8(A, C, B) => C=k8_finseq_8(A, C, B)) ) ) ) ) ) ) ).
fof(t29_filerec1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_finseq_1(B, A) =>  (! [C] :  (m1_finseq_1(C, A) =>  (r4_finseq_8(A, B, C) => r1_xxreal_0(k3_finseq_1(C), k3_finseq_1(B))) ) ) ) ) ) ) ).
fof(t30_filerec1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_finseq_1(B, A) =>  (! [C] :  (m1_finseq_1(C, A) =>  (r1_xxreal_0(k3_finseq_1(B), k3_finseq_1(k8_finseq_8(A, B, C))) & r1_xxreal_0(k3_finseq_1(C), k3_finseq_1(k8_finseq_8(A, B, C)))) ) ) ) ) ) ) ).
fof(t31_filerec1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) => C=k8_finseq_1(A, k3_finseq_8(A, B, C), k6_finseq_8(A, B, C))) ) ) ) ) ) ).
fof(t32_filerec1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) => k4_finseq_8(A, B, C)=k8_finseq_1(A, k5_finseq_8(A, B, C), C)) ) ) ) ) ) ).
fof(t33_filerec1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_finseq_1(B, A) =>  (! [C] :  (m1_finseq_1(C, A) => k8_finseq_8(A, C, B)=k8_finseq_1(A, k5_finseq_8(A, C, B), B)) ) ) ) ) ) ).
fof(t34_filerec1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_finseq_1(B, A) =>  (! [C] :  (m1_finseq_1(C, A) =>  (! [D] :  (m1_finseq_1(D, A) =>  (D=k8_finseq_1(A, B, C) =>  (r2_finseq_8(D, B, 1) & r2_finseq_8(D, C, 1)) ) ) ) ) ) ) ) ) ) ).
fof(t35_filerec1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_finseq_1(B, A) =>  (! [C] :  (m1_finseq_1(C, A) =>  (! [D] :  (m1_finseq_1(D, A) =>  (! [E] :  (m1_finseq_1(E, A) =>  (E=k8_finseq_1(A, k8_finseq_1(A, B, C), D) =>  (r2_finseq_8(E, B, 1) &  (r2_finseq_8(E, C, 1) & r2_finseq_8(E, D, 1)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_filerec1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_finseq_1(B, A) =>  (! [C] :  (m1_finseq_1(C, A) =>  (! [D] :  (m1_finseq_1(D, A) =>  ( (r4_finseq_8(A, C, B) & r4_finseq_8(A, D, B))  => r2_finseq_8(k8_finseq_8(A, k8_finseq_1(A, C, D), B), k8_finseq_1(A, B, D), 1)) ) ) ) ) ) ) ) ) ).
fof(t37_filerec1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_finseq_1(B, A) =>  (! [C] :  (m1_finseq_1(C, A) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (C=k1_xboole_0 =>  (r1_xxreal_0(D, k5_numbers) | k7_finseq_8(A, B, C, D)=D) ) ) ) ) ) ) ) ) ) ).
fof(t38_filerec1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_finseq_1(B, A) =>  (! [C] :  (m1_finseq_1(C, A) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r1_xxreal_0(D, k3_finseq_1(B)) =>  (r1_xxreal_0(D, k5_numbers) | r1_xxreal_0(k7_finseq_8(A, B, C, D), k3_finseq_1(B))) ) ) ) ) ) ) ) ) ) ).
fof(t39_filerec1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_finseq_1(B, A) =>  (! [C] :  (m1_finseq_1(C, A) => r2_finseq_8(k4_finseq_8(A, B, C), C, 1)) ) ) ) ) ) ).
fof(t40_filerec1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_finseq_1(B, A) =>  (! [C] :  (m1_finseq_1(C, A) => r2_finseq_8(k8_finseq_8(A, B, C), C, 1)) ) ) ) ) ) ).
fof(t41_filerec1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r2_finseq_8(k17_finseq_1(A, D, B), C, 1) =>  (r1_xxreal_0(k3_finseq_1(C), k5_numbers) | r2_finseq_8(B, C, 1)) ) ) ) ) ) ) ) ) ) ).
fof(t42_filerec1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_finseq_1(B, A) =>  (! [C] :  (m1_finseq_1(C, A) =>  (? [D] :  (m1_finseq_1(D, A) & r1_filerec1(A, D, B, C)) ) ) ) ) ) ) ) ).
fof(t43_filerec1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_finseq_1(B, A) =>  (! [C] :  (m1_finseq_1(C, A) =>  (! [D] :  (m1_finseq_1(D, A) =>  (r1_filerec1(A, D, B, C) => r1_filerec1(A, D, D, C)) ) ) ) ) ) ) ) ) ).
fof(t44_filerec1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_finseq_1(B, A) =>  (! [C] :  (m1_finseq_1(C, A) =>  (! [D] :  (m1_finseq_1(D, A) =>  (! [E] :  (m1_finseq_1(E, A) =>  ( (r4_finseq_8(A, C, B) &  (r4_finseq_8(A, D, B) & E=k8_finseq_1(A, C, D)) )  =>  (r1_filerec1(A, C, E, B) & r1_filerec1(A, D, E, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_filter_0, axiom,  (? [A] :  (l3_lattices(A) &  ( ~ (v2_struct_0(A))  &  (v3_lattices(A) &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v10_lattices(A) & v3_filter_0(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_filter_0, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & v3_filter_0(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v14_lattices(A) & v3_filter_0(A)) ) ) ) ) ) ).
fof(cc2_filter_0, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & v3_filter_0(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & v3_filter_0(A)) ) ) ) ) ) ).
fof(cc3_filter_0, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & v17_lattices(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & v3_filter_0(A)) ) ) ) ) ) ).
fof(cc4_filter_0, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & v3_filter_0(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & v11_lattices(A)) ) ) ) ) ).
fof(fc1_filter_0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ~ (v1_xboole_0(k5_filter_0(A, B, C))) ) ) ).
fof(fc2_filter_0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  &  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  &  ( ~ (v1_xboole_0(C))  &  (v19_lattices(C, A) &  (v20_lattices(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) )  =>  (v19_lattices(k5_filter_0(A, B, C), A) & v20_lattices(k5_filter_0(A, B, C), A)) ) ) ).
fof(fc3_filter_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  ( ~ (v2_struct_0(k6_filter_0(A, B)))  &  (v3_lattices(k6_filter_0(A, B)) & v10_lattices(k6_filter_0(A, B))) ) ) ) ).
fof(fc4_filter_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  ( ~ (v2_struct_0(k6_filter_0(A, k2_filter_0(A, B))))  &  (v10_lattices(k6_filter_0(A, k2_filter_0(A, B))) & v13_lattices(k6_filter_0(A, k2_filter_0(A, B)))) ) ) ) ).
fof(t1_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) & l3_lattices(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r3_lattices(A, B, C) => r3_lattices(A, k3_lattices(A, D, B), k3_lattices(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t2_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r3_lattices(A, B, D) => r3_lattices(A, k4_lattices(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t3_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r3_lattices(A, B, D) => r3_lattices(A, B, k3_lattices(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t4_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v9_lattices(A) & l3_lattices(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_lattices(A, B, C) & r1_lattices(A, D, E))  => r1_lattices(A, k3_lattices(A, B, D), k3_lattices(A, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) & l3_lattices(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r3_lattices(A, B, C) & r3_lattices(A, D, E))  => r3_lattices(A, k4_lattices(A, B, D), k4_lattices(A, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) & l3_lattices(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r3_lattices(A, B, D) & r3_lattices(A, C, D))  => r3_lattices(A, k3_lattices(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t7_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) & l3_lattices(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r3_lattices(A, B, C) & r3_lattices(A, B, D))  => r3_lattices(A, B, k4_lattices(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t8_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  <=> r2_tarski(k4_lattices(A, C, D), B)) ) ) ) ) ) ) ) ) ) ).
fof(t9_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  <=>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k4_lattices(A, C, D), B)) ) ) ) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r3_lattices(A, C, D))  => r2_tarski(D, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v19_lattices(D, A) &  (v20_lattices(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (r2_tarski(B, D) =>  (r2_tarski(k3_lattices(A, B, C), D) & r2_tarski(k3_lattices(A, C, B), D)) ) ) ) ) ) ) ) ) ) ).
fof(t11_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v14_lattices(A) & l3_lattices(A)) ) )  => r2_tarski(k6_lattices(A), B)) ) ) ) ) ).
fof(t12_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v14_lattices(A) & l3_lattices(A)) ) )  =>  ( ~ (v1_xboole_0(k6_domain_1(u1_struct_0(A), k6_lattices(A))))  &  (v19_lattices(k6_domain_1(u1_struct_0(A), k6_lattices(A)), A) &  (v20_lattices(k6_domain_1(u1_struct_0(A), k6_lattices(A)), A) & m1_subset_1(k6_domain_1(u1_struct_0(A), k6_lattices(A)), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ).
fof(t13_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ( ~ (v1_xboole_0(k6_domain_1(u1_struct_0(A), B)))  &  (v19_lattices(k6_domain_1(u1_struct_0(A), B), A) &  (v20_lattices(k6_domain_1(u1_struct_0(A), B), A) & m1_subset_1(k6_domain_1(u1_struct_0(A), B), k1_zfmisc_1(u1_struct_0(A)))) ) )  => v14_lattices(A)) ) ) ) ) ).
fof(t14_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  ( ~ (v1_xboole_0(u1_struct_0(A)))  &  (v19_lattices(u1_struct_0(A), A) &  (v20_lattices(u1_struct_0(A), A) & m1_subset_1(u1_struct_0(A), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ).
fof(d1_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  => k1_filter_0(A)=u1_struct_0(A)) ) ).
fof(t15_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, k2_filter_0(A, B)) <=> r3_lattices(A, B, C)) ) ) ) ) ) ) ).
fof(t16_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(B, k2_filter_0(A, B)) &  (r2_tarski(k3_lattices(A, B, C), k2_filter_0(A, B)) & r2_tarski(k3_lattices(A, C, B), k2_filter_0(A, B))) ) ) ) ) ) ) ) ).
fof(t17_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) )  => k1_filter_0(A)=k2_filter_0(A, k5_lattices(A))) ) ) ).
fof(d3_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v1_filter_0(B, A) <=>  ( ~ (B=u1_struct_0(A))  &  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v19_lattices(C, A) &  (v20_lattices(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (r1_tarski(B, C) =>  (C=u1_struct_0(A) | B=C) ) ) ) ) ) ) ) ) ) ).
fof(t18_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (v13_lattices(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ~ ( ( ~ (B=u1_struct_0(A))  &  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v19_lattices(C, A) &  (v20_lattices(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ~ ( (r1_tarski(B, C) & v1_filter_0(C, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ ( ( ~ ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_lattices(A, B, C)=B) ) )  & k2_filter_0(A, B)=u1_struct_0(A)) ) ) ) ) ) ).
fof(t20_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) )  &  ( ~ (B=k5_lattices(A))  &  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v19_lattices(C, A) &  (v20_lattices(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ~ ( (r2_tarski(B, C) & v1_filter_0(C, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v19_lattices(C, A) &  (v20_lattices(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (C=k3_filter_0(A, B) <=>  (r1_tarski(B, C) &  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v19_lattices(D, A) &  (v20_lattices(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (r1_tarski(B, D) => r1_tarski(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  => k3_filter_0(A, B)=B) ) ) ) ).
fof(t22_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (r1_tarski(B, C) => r1_tarski(k3_filter_0(A, B), k3_filter_0(A, C))) ) ) ) ) ) ) ).
fof(t23_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (r2_tarski(B, C) => r1_tarski(k2_filter_0(A, B), k3_filter_0(A, C))) ) ) ) ) ) ) ).
fof(t24_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (C=k6_domain_1(u1_struct_0(A), B) => k3_filter_0(A, C)=k2_filter_0(A, B)) ) ) ) ) ) ) ).
fof(t25_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) )  & r2_tarski(k5_lattices(A), B))  =>  (k3_filter_0(A, B)=k1_filter_0(A) & k3_filter_0(A, B)=u1_struct_0(A)) ) ) ) ) ) ).
fof(t26_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) )  & r2_tarski(k5_lattices(A), B))  =>  (B=k1_filter_0(A) & B=u1_struct_0(A)) ) ) ) ) ) ).
fof(d5_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v2_filter_0(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(k3_lattices(A, C, D), B) <=>  (r2_tarski(C, B) | r2_tarski(D, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_lattices(A, k4_lattices(A, B, k3_lattices(A, k7_lattices(A, B), C)), C) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r3_lattices(A, k4_lattices(A, B, D), C) => r3_lattices(A, D, k3_lattices(A, k7_lattices(A, B), C))) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (v3_filter_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (r1_lattices(A, k2_lattices(A, B, D), C) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_lattices(A, k2_lattices(A, B, E), C) => r1_lattices(A, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_filter_0(A) & l3_lattices(A)) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (D=k4_filter_0(A, B, C) <=>  (r3_lattices(A, k4_lattices(A, B, D), C) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r3_lattices(A, k4_lattices(A, B, E), C) => r3_lattices(A, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_filter_0(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k4_filter_0(A, B, B)=k6_lattices(A)) ) ) ) ).
fof(t29_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_filter_0(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v19_lattices(D, A) &  (v20_lattices(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ( (r2_tarski(B, D) & r2_tarski(k4_filter_0(A, B, C), D))  => r2_tarski(C, D)) ) ) ) ) ) ) ) ) ).
fof(t30_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_filter_0(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v19_lattices(D, A) &  (v20_lattices(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (r2_tarski(C, D) => r2_tarski(k4_filter_0(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t31_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))))  =>  ( (r2_tarski(B, D) & r2_tarski(C, E))  =>  (r2_tarski(k4_lattices(A, B, C), k5_filter_0(A, D, E)) & r2_tarski(k4_lattices(A, C, B), k5_filter_0(A, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( (r2_tarski(B, k5_filter_0(A, C, D)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (B=k4_lattices(A, E, F) &  (r2_tarski(E, C) & r2_tarski(F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  => k5_filter_0(A, B, C)=k5_filter_0(A, C, B)) ) ) ) ) ) ).
fof(t34_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (k3_filter_0(A, k4_subset_1(u1_struct_0(A), B, C))=k3_filter_0(A, k4_subset_1(u1_struct_0(A), k3_filter_0(A, B), C)) & k3_filter_0(A, k4_subset_1(u1_struct_0(A), B, C))=k3_filter_0(A, k4_subset_1(u1_struct_0(A), B, k3_filter_0(A, C)))) ) ) ) ) ) ) ).
fof(t36_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v19_lattices(C, A) &  (v20_lattices(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (r1_tarski(C, k5_filter_0(A, C, B)) & r1_tarski(B, k5_filter_0(A, C, B))) ) ) ) ) ) ) ).
fof(t37_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v19_lattices(C, A) &  (v20_lattices(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  => k3_filter_0(A, k4_subset_1(u1_struct_0(A), C, B))=k3_filter_0(A, k5_filter_0(A, C, B))) ) ) ) ) ) ).
fof(t38_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_filter_0(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v19_lattices(C, A) &  (v20_lattices(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  => k3_filter_0(A, k4_subset_1(u1_struct_0(A), B, C))=k5_filter_0(A, B, C)) ) ) ) ) ) ).
fof(t39_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v19_lattices(C, A) &  (v20_lattices(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  => k3_filter_0(A, k4_subset_1(u1_struct_0(A), B, C))=k5_filter_0(A, B, C)) ) ) ) ) ) ).
fof(t40_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_filter_0(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  =>  (r2_tarski(C, k3_filter_0(A, k4_subset_1(u1_struct_0(A), D, k6_domain_1(u1_struct_0(A), B)))) => r2_tarski(k4_filter_0(A, B, C), k3_filter_0(A, D))) ) ) ) ) ) ) ) ) ).
fof(t41_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_filter_0(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v19_lattices(E, A) &  (v20_lattices(E, A) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ( (r2_tarski(k4_filter_0(A, B, C), E) & r2_tarski(k4_filter_0(A, C, D), E))  => r2_tarski(k4_filter_0(A, B, D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_filter_0(A, B, C)=k3_lattices(A, k7_lattices(A, B), C)) ) ) ) ) ) ).
fof(t43_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_lattices(A, B, C) <=> k4_lattices(A, B, k7_lattices(A, C))=k5_lattices(A)) ) ) ) ) ) ) ).
fof(t44_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v1_filter_0(B, A) <=>  ( ~ (B=u1_struct_0(A))  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) | r2_tarski(k7_lattices(A, C), B)) ) ) ) ) ) ) ) ) ).
fof(t45_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ( ( ~ (B=k1_filter_0(A))  & v2_filter_0(B, A))  <=> v1_filter_0(B, A)) ) ) ) ) ).
fof(t46_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v1_filter_0(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) <=>  ~ (r2_tarski(k7_lattices(A, C), B)) ) ) ) ) ) ) ) ) ).
fof(t47_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v19_lattices(D, A) &  (v20_lattices(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ~ ( (v1_filter_0(D, A) &  ( (r2_tarski(B, D) &  ~ (r2_tarski(C, D)) )  |  ( ~ (r2_tarski(B, D))  & r2_tarski(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v10_lattices(C) & l3_lattices(C)) )  =>  (C=k6_filter_0(A, B) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(B, B), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  &  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, B), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  &  (D=k1_realset1(u2_lattices(A), B) &  (E=k1_realset1(u1_lattices(A), B) & C=g3_lattices(B, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_lattices(A) &  (v10_lattices(A) & l3_lattices(A)) ) )  => k6_filter_0(A, k1_filter_0(A))=A) ) ).
fof(t49_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (u1_struct_0(k6_filter_0(A, B))=B &  (u2_lattices(k6_filter_0(A, B))=k1_realset1(u2_lattices(A), B) & u1_lattices(k6_filter_0(A, B))=k1_realset1(u1_lattices(A), B)) ) ) ) ) ) ).
fof(t50_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v19_lattices(D, A) &  (v20_lattices(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k6_filter_0(A, D))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k6_filter_0(A, D))) =>  ( (B=E & C=F)  =>  (k3_lattices(A, B, C)=k3_lattices(k6_filter_0(A, D), E, F) & k4_lattices(A, B, C)=k4_lattices(k6_filter_0(A, D), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v19_lattices(D, A) &  (v20_lattices(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k6_filter_0(A, D))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k6_filter_0(A, D))) =>  ( (B=E & C=F)  =>  (r3_lattices(A, B, C) <=> r3_lattices(k6_filter_0(A, D), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v14_lattices(A) => v14_lattices(k6_filter_0(A, B))) ) ) ) ) ).
fof(t53_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v12_lattices(A) => v12_lattices(k6_filter_0(A, B))) ) ) ) ) ).
fof(t54_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v11_lattices(A) => v11_lattices(k6_filter_0(A, B))) ) ) ) ) ).
fof(t55_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_filter_0(A) & l3_lattices(A)) ) )  => v3_filter_0(k6_filter_0(A, B))) ) ) ) ) ).
fof(t56_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_lattices(k6_filter_0(A, k2_filter_0(A, B)))=B) ) ) ) ).
fof(t57_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v14_lattices(A) => k6_lattices(k6_filter_0(A, k2_filter_0(A, B)))=k6_lattices(A)) ) ) ) ) ).
fof(t58_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v14_lattices(A) & l3_lattices(A)) ) )  => v15_lattices(k6_filter_0(A, k2_filter_0(A, B)))) ) ) ) ) ).
fof(t59_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v16_lattices(A) & l3_lattices(A)) ) ) )  &  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v12_lattices(A) & l3_lattices(A)) ) ) )  =>  ( ~ (v2_struct_0(k6_filter_0(A, k2_filter_0(A, B))))  &  (v10_lattices(k6_filter_0(A, k2_filter_0(A, B))) &  (v15_lattices(k6_filter_0(A, k2_filter_0(A, B))) &  (v16_lattices(k6_filter_0(A, k2_filter_0(A, B))) & l3_lattices(k6_filter_0(A, k2_filter_0(A, B)))) ) ) ) ) ) ) ) ) ).
fof(t60_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  ( ~ (v2_struct_0(k6_filter_0(A, k2_filter_0(A, B))))  &  (v10_lattices(k6_filter_0(A, k2_filter_0(A, B))) &  (v17_lattices(k6_filter_0(A, k2_filter_0(A, B))) & l3_lattices(k6_filter_0(A, k2_filter_0(A, B)))) ) ) ) ) ) ) ) ).
fof(d10_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k7_filter_0(A, B, C)=k4_lattices(A, k4_filter_0(A, B, C), k4_filter_0(A, C, B))) ) ) ) ) ) ).
fof(t61_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k7_filter_0(A, B, C)=k7_filter_0(A, C, B)) ) ) ) ) ) ).
fof(t62_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_filter_0(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v19_lattices(E, A) &  (v20_lattices(E, A) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ( (r2_tarski(k7_filter_0(A, B, C), E) & r2_tarski(k7_filter_0(A, C, D), E))  => r2_tarski(k7_filter_0(A, B, D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  (v1_relat_1(C) =>  (C=k8_filter_0(A, B) <=>  (r1_tarski(k1_relat_1(C), u1_struct_0(A)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(k1_domain_1(u1_struct_0(A), u1_struct_0(A), D, E), C) <=> r2_tarski(k7_filter_0(A, D, E), B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  => m1_subset_1(k8_filter_0(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ).
fof(t64_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_filter_0(A) & l3_lattices(A)) ) )  => r1_relat_2(k8_filter_0(A, B), u1_struct_0(A))) ) ) ) ) ).
fof(t65_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  => r3_relat_2(k8_filter_0(A, B), u1_struct_0(A))) ) ) ) ).
fof(t66_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_filter_0(A) & l3_lattices(A)) ) )  => r8_relat_2(k8_filter_0(A, B), u1_struct_0(A))) ) ) ) ) ).
fof(t67_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_filter_0(A) & l3_lattices(A)) ) )  =>  (v3_relat_2(k8_filter_0(A, B)) &  (v8_relat_2(k8_filter_0(A, B)) &  (v1_partfun1(k8_filter_0(A, B), u1_struct_0(A)) & m1_subset_1(k8_filter_0(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ) ) ) ) ).
fof(t68_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_filter_0(A) & l3_lattices(A)) ) )  => k1_relat_1(k8_filter_0(A, B))=u1_struct_0(A)) ) ) ) ) ).
fof(d12_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_filter_0(A, B, C, D) <=> r2_tarski(k7_filter_0(A, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t69_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v19_lattices(D, A) &  (v20_lattices(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (r1_filter_0(A, D, B, C) <=> r2_tarski(k1_domain_1(u1_struct_0(A), u1_struct_0(A), B, C), k8_filter_0(A, D))) ) ) ) ) ) ) ) ) ).
fof(t70_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v10_lattices(C) &  (v3_filter_0(C) & l3_lattices(C)) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v19_lattices(E, C) &  (v20_lattices(E, C) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(C)))) ) )  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r1_filter_0(C, E, D, D) & r1_filter_0(A, B, F, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v19_lattices(D, A) &  (v20_lattices(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (r1_filter_0(A, D, B, C) => r1_filter_0(A, D, C, B)) ) ) ) ) ) ) ) ) ).
fof(t72_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v10_lattices(C) &  (v3_filter_0(C) & l3_lattices(C)) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  (! [G] :  ( ( ~ (v1_xboole_0(G))  &  (v19_lattices(G, C) &  (v20_lattices(G, C) & m1_subset_1(G, k1_zfmisc_1(u1_struct_0(C)))) ) )  =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  ( ( (r1_filter_0(C, G, D, E) & r1_filter_0(C, G, E, F))  => r1_filter_0(C, G, D, F))  &  ( (r1_filter_0(A, B, H, I) & r1_filter_0(A, B, I, J))  => r1_filter_0(A, B, H, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t73_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v6_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) & l3_lattices(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r3_lattices(A, D, B) &  (r3_lattices(A, D, C) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r3_lattices(A, E, B) & r3_lattices(A, E, C))  => r3_lattices(A, E, D)) ) ) ) )  => D=k4_lattices(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t74_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) & l3_lattices(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r3_lattices(A, B, D) &  (r3_lattices(A, C, D) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r3_lattices(A, B, E) & r3_lattices(A, C, E))  => r3_lattices(A, D, E)) ) ) ) )  => D=k3_lattices(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(dt_k1_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  ( ~ (v1_xboole_0(k1_filter_0(A)))  &  (v19_lattices(k1_filter_0(A), A) &  (v20_lattices(k1_filter_0(A), A) & m1_subset_1(k1_filter_0(A), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ).
fof(dt_k2_filter_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  ( ~ (v1_xboole_0(k2_filter_0(A, B)))  &  (v19_lattices(k2_filter_0(A, B), A) &  (v20_lattices(k2_filter_0(A, B), A) & m1_subset_1(k2_filter_0(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ).
fof(dt_k3_filter_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  ( ~ (v1_xboole_0(k3_filter_0(A, B)))  &  (v19_lattices(k3_filter_0(A, B), A) &  (v20_lattices(k3_filter_0(A, B), A) & m1_subset_1(k3_filter_0(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ).
fof(dt_k4_filter_0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k4_filter_0(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k5_filter_0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  => m1_subset_1(k5_filter_0(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k6_filter_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  ( ~ (v2_struct_0(k6_filter_0(A, B)))  &  (v10_lattices(k6_filter_0(A, B)) & l3_lattices(k6_filter_0(A, B))) ) ) ) ).
fof(dt_k7_filter_0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k7_filter_0(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k8_filter_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  => v1_relat_1(k8_filter_0(A, B))) ) ).
fof(dt_k9_filter_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_filter_0(A) & l3_lattices(A)) ) )  &  ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  (v3_relat_2(k9_filter_0(A, B)) &  (v8_relat_2(k9_filter_0(A, B)) &  (v1_partfun1(k9_filter_0(A, B), u1_struct_0(A)) & m1_subset_1(k9_filter_0(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ) ).
fof(redefinition_k9_filter_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_filter_0(A) & l3_lattices(A)) ) )  &  ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  => k9_filter_0(A, B)=k8_filter_0(A, B)) ) ).
fof(dt_k10_filter_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  &  ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  (v3_relat_2(k10_filter_0(A, B)) &  (v8_relat_2(k10_filter_0(A, B)) &  (v1_partfun1(k10_filter_0(A, B), u1_struct_0(A)) & m1_subset_1(k10_filter_0(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ) ).
fof(redefinition_k10_filter_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  &  ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  => k10_filter_0(A, B)=k8_filter_0(A, B)) ) ).
fof(d2_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_filter_0(A, B)=a_2_0_filter_0(A, B)) ) ) ) ).
fof(d8_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  => k5_filter_0(A, B, C)=a_3_0_filter_0(A, B, C)) ) ) ) ) ) ).
fof(t35_filter_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v19_lattices(C, A) &  (v20_lattices(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  => k3_filter_0(A, k4_subset_1(u1_struct_0(A), C, B))=a_3_1_filter_0(A, B, C)) ) ) ) ) ) ).
fof(fraenkel_a_2_0_filter_0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_2_0_filter_0(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & r3_lattices(B, C, D)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_filter_0, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  &  ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) )  =>  (r2_hidden(A, a_3_0_filter_0(B, C, D)) <=>  (? [E, F] :  ( (m1_subset_1(E, u1_struct_0(B)) & m1_subset_1(F, u1_struct_0(B)))  &  (A=k4_lattices(B, E, F) &  (r2_tarski(E, C) & r2_tarski(F, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_filter_0, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  &  ( ( ~ (v1_xboole_0(C))  &  (v19_lattices(C, B) &  (v20_lattices(C, B) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B)))) ) )  &  ( ~ (v1_xboole_0(D))  &  (v19_lattices(D, B) &  (v20_lattices(D, B) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) ) ) )  =>  (r2_hidden(A, a_3_1_filter_0(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E &  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(B)) &  (r3_lattices(B, k4_lattices(B, F, G), E) &  (r2_tarski(F, D) & r2_tarski(G, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_filter_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_filter_0(A) & l3_lattices(A)) ) )  &  ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  ( ~ (v2_struct_0(k4_filter_1(A, B)))  &  (v3_lattices(k4_filter_1(A, B)) &  (v10_lattices(k4_filter_1(A, B)) & v3_filter_0(k4_filter_1(A, B))) ) ) ) ) ).
fof(fc2_filter_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  &  ( ~ (v2_struct_0(B))  & l3_lattices(B)) )  =>  ( ~ (v2_struct_0(k7_filter_1(A, B)))  & v3_lattices(k7_filter_1(A, B))) ) ) ).
fof(fc3_filter_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) ) )  =>  (v3_lattices(k7_filter_1(A, B)) & v10_lattices(k7_filter_1(A, B))) ) ) ).
fof(t1_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v19_lattices(C, A) &  (v20_lattices(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ( ~ (v1_xboole_0(k9_subset_1(u1_struct_0(A), B, C)))  &  (v19_lattices(k9_subset_1(u1_struct_0(A), B, C), A) &  (v20_lattices(k9_subset_1(u1_struct_0(A), B, C), A) & m1_subset_1(k9_subset_1(u1_struct_0(A), B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ) ) ) ).
fof(t2_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k2_filter_0(A, B)=k2_filter_0(A, C) => B=C) ) ) ) ) ) ) ).
fof(d1_filter_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v1_relat_1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (m1_filter_1(C, A, B) <=>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(k1_domain_1(A, A, D, E), B) => r2_tarski(k1_domain_1(A, A, k3_funct_2(A, A, C, D), k3_funct_2(A, A, C, E)), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_filter_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v1_relat_1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (m2_filter_1(C, A, B) <=>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) =>  ( (r2_tarski(k1_domain_1(A, A, D, E), B) & r2_tarski(k1_domain_1(A, A, F, G), B))  => r2_tarski(k1_domain_1(A, A, k4_binop_1(A, C, D, F), k4_binop_1(A, C, E, G)), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_filter_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (m1_filter_1(C, A, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k8_eqrel_1(A, B), k8_eqrel_1(A, B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(A, B), k8_eqrel_1(A, B))))) )  =>  (D=k2_filter_1(A, B, C) <=>  (! [E] :  (! [F] :  ( (r2_tarski(E, k8_eqrel_1(A, B)) & r2_tarski(F, E))  => k1_funct_1(D, E)=k6_eqrel_1(A, A, B, k1_funct_1(C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_filter_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (m2_filter_1(C, A, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k8_eqrel_1(A, B), k8_eqrel_1(A, B)), k8_eqrel_1(A, B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(A, B), k8_eqrel_1(A, B)), k8_eqrel_1(A, B))))) )  =>  (D=k3_filter_1(A, B, C) <=>  (! [E] :  (! [F] :  (! [G] :  (! [H] :  ( (r2_tarski(E, k8_eqrel_1(A, B)) &  (r2_tarski(F, k8_eqrel_1(A, B)) &  (r2_tarski(G, E) & r2_tarski(H, F)) ) )  => k1_binop_1(D, E, F)=k6_eqrel_1(A, A, B, k1_binop_1(C, G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_filter_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m2_filter_1(E, A, B) => k1_binop_1(k3_filter_1(A, B, E), k6_eqrel_1(A, A, B, C), k6_eqrel_1(A, A, B, D))=k6_eqrel_1(A, A, B, k4_binop_1(A, E, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t4_filter_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  (m2_filter_1(C, A, B) =>  (v1_binop_1(C, A) => v1_binop_1(k3_filter_1(A, B, C), k8_eqrel_1(A, B))) ) ) ) ) ) ) ).
fof(t5_filter_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  (m2_filter_1(C, A, B) =>  (v2_binop_1(C, A) => v2_binop_1(k3_filter_1(A, B, C), k8_eqrel_1(A, B))) ) ) ) ) ) ) ).
fof(t6_filter_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m2_filter_1(D, A, B) =>  (r1_binop_1(A, C, D) => r1_binop_1(k8_eqrel_1(A, B), k9_eqrel_1(A, B, C), k3_filter_1(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t7_filter_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m2_filter_1(D, A, B) =>  (r2_binop_1(A, C, D) => r2_binop_1(k8_eqrel_1(A, B), k9_eqrel_1(A, B, C), k3_filter_1(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t8_filter_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m2_filter_1(D, A, B) =>  (r3_binop_1(A, C, D) => r3_binop_1(k8_eqrel_1(A, B), k9_eqrel_1(A, B, C), k3_filter_1(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t9_filter_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  (m2_filter_1(C, A, B) =>  (! [D] :  (m2_filter_1(D, A, B) =>  (r4_binop_1(A, C, D) => r4_binop_1(k8_eqrel_1(A, B), k3_filter_1(A, B, C), k3_filter_1(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t10_filter_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  (m2_filter_1(C, A, B) =>  (! [D] :  (m2_filter_1(D, A, B) =>  (r5_binop_1(A, C, D) => r5_binop_1(k8_eqrel_1(A, B), k3_filter_1(A, B, C), k3_filter_1(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t11_filter_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  (m2_filter_1(C, A, B) =>  (! [D] :  (m2_filter_1(D, A, B) =>  (r6_binop_1(A, C, D) => r6_binop_1(k8_eqrel_1(A, B), k3_filter_1(A, B, C), k3_filter_1(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t12_filter_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  (m2_filter_1(C, A, B) =>  (! [D] :  (m2_filter_1(D, A, B) =>  (r1_lattice2(A, C, D) => r1_lattice2(k8_eqrel_1(A, B), k3_filter_1(A, B, C), k3_filter_1(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t13_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_filter_0(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  => m2_filter_1(u2_lattices(A), u1_struct_0(A), k9_filter_0(A, B))) ) ) ) ).
fof(t14_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_filter_0(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  => m2_filter_1(u1_lattices(A), u1_struct_0(A), k9_filter_0(A, B))) ) ) ) ).
fof(d5_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_filter_0(A) & l3_lattices(A)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v3_lattices(C) &  (v10_lattices(C) & l3_lattices(C)) ) )  =>  (C=k4_filter_1(A, B) <=>  (! [D] :  ( (v1_partfun1(D, u1_struct_0(A)) &  (v3_relat_2(D) &  (v8_relat_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (D=k8_filter_0(A, B) => C=g3_lattices(k8_eqrel_1(u1_struct_0(A), D), k3_filter_1(u1_struct_0(A), D, u2_lattices(A)), k3_filter_1(u1_struct_0(A), D, u1_lattices(A)))) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_filter_0(A) & l3_lattices(A)) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k4_filter_1(A, B))) =>  (D=k5_filter_1(A, B, C) <=>  (! [E] :  ( (v1_partfun1(E, u1_struct_0(A)) &  (v3_relat_2(E) &  (v8_relat_2(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (E=k8_filter_0(A, B) => D=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_filter_0(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k3_lattices(k4_filter_1(A, B), k5_filter_1(A, B, C), k5_filter_1(A, B, D))=k5_filter_1(A, B, k3_lattices(A, C, D)) & k4_lattices(k4_filter_1(A, B), k5_filter_1(A, B, C), k5_filter_1(A, B, D))=k5_filter_1(A, B, k4_lattices(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t16_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_filter_0(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r3_lattices(k4_filter_1(A, B), k5_filter_1(A, B, C), k5_filter_1(A, B, D)) <=> r2_tarski(k4_filter_0(A, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t17_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_filter_0(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k4_filter_0(A, k4_lattices(A, B, C), D)=k4_filter_0(A, B, k4_filter_0(A, C, D))) ) ) ) ) ) ) ) ).
fof(t18_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_filter_0(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v13_lattices(A) =>  ( ( ~ (v2_struct_0(k4_filter_1(A, B)))  &  (v10_lattices(k4_filter_1(A, B)) &  (v13_lattices(k4_filter_1(A, B)) & l3_lattices(k4_filter_1(A, B))) ) )  & k5_lattices(k4_filter_1(A, B))=k5_filter_1(A, B, k5_lattices(A))) ) ) ) ) ) ).
fof(t19_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_filter_0(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ( ( ~ (v2_struct_0(k4_filter_1(A, B)))  &  (v10_lattices(k4_filter_1(A, B)) &  (v14_lattices(k4_filter_1(A, B)) & l3_lattices(k4_filter_1(A, B))) ) )  & k6_lattices(k4_filter_1(A, B))=k5_filter_1(A, B, k6_lattices(A))) ) ) ) ) ).
fof(t20_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ( ~ (v2_struct_0(k4_filter_1(A, B)))  &  (v10_lattices(k4_filter_1(A, B)) &  (v17_lattices(k4_filter_1(A, B)) & l3_lattices(k4_filter_1(A, B))) ) ) ) ) ) ) ).
fof(t21_filter_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, B) =>  (! [F] :  (m1_subset_1(F, B) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(A, A), A) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k2_zfmisc_1(B, B), B) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  => k4_binop_1(k2_zfmisc_1(A, B), k6_filter_1(A, B, G, H), k1_domain_1(A, B, C, E), k1_domain_1(A, B, D, F))=k1_domain_1(A, B, k4_binop_1(A, G, C, D), k4_binop_1(B, H, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_filter_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(B, B), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  ( (v1_binop_1(C, A) & v1_binop_1(D, B))  <=> v1_binop_1(k6_filter_1(A, B, C, D), k2_zfmisc_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(t23_filter_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(B, B), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  ( (v2_binop_1(C, A) & v2_binop_1(D, B))  <=> v2_binop_1(k6_filter_1(A, B, C, D), k2_zfmisc_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(t24_filter_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, A), A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(B, B), B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  ( (r1_binop_1(A, C, E) & r1_binop_1(B, D, F))  <=> r1_binop_1(k2_zfmisc_1(A, B), k1_domain_1(A, B, C, D), k6_filter_1(A, B, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_filter_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, A), A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(B, B), B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  ( (r2_binop_1(A, C, E) & r2_binop_1(B, D, F))  <=> r2_binop_1(k2_zfmisc_1(A, B), k1_domain_1(A, B, C, D), k6_filter_1(A, B, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_filter_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, A), A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(B, B), B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  ( (r3_binop_1(A, C, E) & r3_binop_1(B, D, F))  <=> r3_binop_1(k2_zfmisc_1(A, B), k1_domain_1(A, B, C, D), k6_filter_1(A, B, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_filter_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, B), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(B, B), B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  ( (r4_binop_1(A, C, D) & r4_binop_1(B, E, F))  <=> r4_binop_1(k2_zfmisc_1(A, B), k6_filter_1(A, B, C, E), k6_filter_1(A, B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_filter_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, B), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(B, B), B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  ( (r5_binop_1(A, C, D) & r5_binop_1(B, E, F))  <=> r5_binop_1(k2_zfmisc_1(A, B), k6_filter_1(A, B, C, E), k6_filter_1(A, B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_filter_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, B), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(B, B), B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  ( (r6_binop_1(A, C, D) & r6_binop_1(B, E, F))  <=> r6_binop_1(k2_zfmisc_1(A, B), k6_filter_1(A, B, C, E), k6_filter_1(A, B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_filter_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, B), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(B, B), B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  ( (r1_lattice2(A, C, D) & r1_lattice2(B, E, F))  <=> r1_lattice2(k2_zfmisc_1(A, B), k6_filter_1(A, B, C, E), k6_filter_1(A, B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_lattices(B))  => k7_filter_1(A, B)=g3_lattices(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k6_filter_1(u1_struct_0(A), u1_struct_0(B), u2_lattices(A), u2_lattices(B)), k6_filter_1(u1_struct_0(A), u1_struct_0(B), u1_lattices(A), u1_lattices(B)))) ) ) ) ).
fof(t31_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(k1_domain_1(u1_struct_0(A), u1_struct_0(A), B, C), k8_filter_1(A)) <=> r3_lattices(A, B, C)) ) ) ) ) ) ) ).
fof(t32_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (k9_xtuple_0(k8_filter_1(A))=u1_struct_0(A) &  (k10_xtuple_0(k8_filter_1(A))=u1_struct_0(A) & k1_relat_1(k8_filter_1(A))=u1_struct_0(A)) ) ) ) ).
fof(d9_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  (r1_filter_1(A, B) <=> r4_wellord1(k8_filter_1(A), k8_filter_1(B))) ) ) ) ) ).
fof(t33_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v10_lattices(C) & l3_lattices(C)) )  =>  ( (r1_filter_1(A, B) & r1_filter_1(B, C))  => r1_filter_1(A, C)) ) ) ) ) ) ) ).
fof(t34_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_lattices(B))  =>  ( ( ~ (v2_struct_0(k7_filter_1(A, B)))  &  (v10_lattices(k7_filter_1(A, B)) & l3_lattices(k7_filter_1(A, B))) )  =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) ) ) ) ) ) ) ) ).
fof(t35_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (k3_lattices(k7_filter_1(A, B), k9_filter_1(A, B, C, E), k9_filter_1(A, B, D, F))=k9_filter_1(A, B, k3_lattices(A, C, D), k3_lattices(B, E, F)) & k4_lattices(k7_filter_1(A, B), k9_filter_1(A, B, C, E), k9_filter_1(A, B, D, F))=k9_filter_1(A, B, k4_lattices(A, C, D), k4_lattices(B, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (r3_lattices(k7_filter_1(A, B), k9_filter_1(A, B, C, E), k9_filter_1(A, B, D, F)) <=>  (r3_lattices(A, C, D) & r3_lattices(B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  ( (v12_lattices(A) & v12_lattices(B))  <=> v12_lattices(k7_filter_1(A, B))) ) ) ) ) ).
fof(t38_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  &  ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v11_lattices(B) & l3_lattices(B)) ) ) )  <=>  ( ~ (v2_struct_0(k7_filter_1(A, B)))  &  (v10_lattices(k7_filter_1(A, B)) &  (v11_lattices(k7_filter_1(A, B)) & l3_lattices(k7_filter_1(A, B))) ) ) ) ) ) ) ) ).
fof(t39_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  ( (v13_lattices(A) & v13_lattices(B))  <=> v13_lattices(k7_filter_1(A, B))) ) ) ) ) ).
fof(t40_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  ( (v14_lattices(A) & v14_lattices(B))  <=> v14_lattices(k7_filter_1(A, B))) ) ) ) ) ).
fof(t41_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  ( (v15_lattices(A) & v15_lattices(B))  <=> v15_lattices(k7_filter_1(A, B))) ) ) ) ) ).
fof(t42_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) )  &  ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v13_lattices(B) & l3_lattices(B)) ) ) )  => k5_lattices(k7_filter_1(A, B))=k9_filter_1(A, B, k5_lattices(A), k5_lattices(B))) ) ) ) ) ).
fof(t43_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v14_lattices(A) & l3_lattices(A)) ) )  &  ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v14_lattices(B) & l3_lattices(B)) ) ) )  => k6_lattices(k7_filter_1(A, B))=k9_filter_1(A, B, k6_lattices(A), k6_lattices(B))) ) ) ) ) ).
fof(t44_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) & l3_lattices(A)) ) )  &  ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v15_lattices(B) & l3_lattices(B)) ) ) )  =>  ( (r2_lattices(A, C, D) & r2_lattices(B, E, F))  <=> r2_lattices(k7_filter_1(A, B), k9_filter_1(A, B, C, E), k9_filter_1(A, B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v16_lattices(A) & l3_lattices(A)) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v15_lattices(B) &  (v16_lattices(B) & l3_lattices(B)) ) ) ) )  <=>  ( ~ (v2_struct_0(k7_filter_1(A, B)))  &  (v10_lattices(k7_filter_1(A, B)) &  (v15_lattices(k7_filter_1(A, B)) &  (v16_lattices(k7_filter_1(A, B)) & l3_lattices(k7_filter_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(t46_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  &  ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v17_lattices(B) & l3_lattices(B)) ) ) )  <=>  ( ~ (v2_struct_0(k7_filter_1(A, B)))  &  (v10_lattices(k7_filter_1(A, B)) &  (v17_lattices(k7_filter_1(A, B)) & l3_lattices(k7_filter_1(A, B))) ) ) ) ) ) ) ) ).
fof(t47_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  ( (v3_filter_0(A) & v3_filter_0(B))  <=> v3_filter_0(k7_filter_1(A, B))) ) ) ) ) ).
fof(t48_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  => k1_lattice2(k7_filter_1(A, B))=k7_filter_1(k1_lattice2(A), k1_lattice2(B))) ) ) ) ).
fof(t49_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  => r1_filter_1(k7_filter_1(A, B), k7_filter_1(B, A))) ) ) ) ).
fof(t50_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k7_filter_0(A, B, C)=k3_lattices(A, k4_lattices(A, B, C), k4_lattices(A, k7_lattices(A, B), k7_lattices(A, C)))) ) ) ) ) ) ).
fof(t51_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k7_lattices(A, k4_filter_0(A, B, C))=k4_lattices(A, B, k7_lattices(A, C)) &  (k7_lattices(A, k7_filter_0(A, B, C))=k3_lattices(A, k4_lattices(A, B, k7_lattices(A, C)), k4_lattices(A, k7_lattices(A, B), C)) &  (k7_lattices(A, k7_filter_0(A, B, C))=k7_filter_0(A, B, k7_lattices(A, C)) & k7_lattices(A, k7_filter_0(A, B, C))=k7_filter_0(A, k7_lattices(A, B), C)) ) ) ) ) ) ) ) ) ).
fof(t52_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k7_filter_0(A, B, C)=k7_filter_0(A, B, D) => C=D) ) ) ) ) ) ) ) ) ).
fof(t53_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k7_filter_0(A, B, k7_filter_0(A, B, C))=C) ) ) ) ) ) ).
fof(t54_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_filter_0(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k4_filter_0(A, k3_lattices(A, B, C), B)=k4_filter_0(A, C, B) & k4_filter_0(A, B, k4_lattices(A, B, C))=k4_filter_0(A, B, C)) ) ) ) ) ) ) ).
fof(t55_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_filter_0(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r3_lattices(A, k4_filter_0(A, B, C), k4_filter_0(A, B, k3_lattices(A, C, D))) &  (r3_lattices(A, k4_filter_0(A, B, C), k4_filter_0(A, k4_lattices(A, B, D), C)) &  (r3_lattices(A, k4_filter_0(A, B, C), k4_filter_0(A, B, k3_lattices(A, D, C))) & r3_lattices(A, k4_filter_0(A, B, C), k4_filter_0(A, k4_lattices(A, D, B), C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_filter_0(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r3_lattices(A, k4_lattices(A, k4_filter_0(A, B, D), k4_filter_0(A, C, D)), k4_filter_0(A, k3_lattices(A, B, C), D))) ) ) ) ) ) ) ) ).
fof(t57_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_filter_0(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r3_lattices(A, k4_lattices(A, k4_filter_0(A, B, C), k4_filter_0(A, B, D)), k4_filter_0(A, B, k4_lattices(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t58_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_filter_0(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_tarski(k7_filter_0(A, C, D), B) & r2_tarski(k7_filter_0(A, E, F), B))  =>  (r2_tarski(k7_filter_0(A, k3_lattices(A, C, E), k3_lattices(A, D, F)), B) & r2_tarski(k7_filter_0(A, k4_lattices(A, C, E), k4_lattices(A, D, F)), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_filter_0(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r2_tarski(C, k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k9_filter_0(A, B), E)) & r2_tarski(D, k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k9_filter_0(A, B), E)))  =>  (r2_tarski(k3_lattices(A, C, D), k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k9_filter_0(A, B), E)) & r2_tarski(k4_lattices(A, C, D), k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k9_filter_0(A, B), E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(k3_lattices(A, B, k7_filter_0(A, B, C)), k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k10_filter_0(A, k2_filter_0(A, C)), B)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k10_filter_0(A, k2_filter_0(A, C)), B)) => r3_lattices(A, D, k3_lattices(A, B, k7_filter_0(A, B, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t61_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_filter_1(A, k7_filter_1(k4_filter_1(A, k2_filter_0(A, B)), k6_filter_0(A, k2_filter_0(A, B))))) ) ) ) ).
fof(s1_filter_1, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s1_filter_1) => p1_s1_filter_1(k9_eqrel_1(f1_s1_filter_1, f2_s1_filter_1, A))) )  =>  (! [A] :  (m2_subset_1(A, k1_zfmisc_1(f1_s1_filter_1), k8_eqrel_1(f1_s1_filter_1, f2_s1_filter_1)) => p1_s1_filter_1(A)) ) ) ).
fof(s2_filter_1, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s2_filter_1) =>  (! [B] :  (m1_subset_1(B, f1_s2_filter_1) => p1_s2_filter_1(k9_eqrel_1(f1_s2_filter_1, f2_s2_filter_1, A), k9_eqrel_1(f1_s2_filter_1, f2_s2_filter_1, B))) ) ) )  =>  (! [A] :  (m2_subset_1(A, k1_zfmisc_1(f1_s2_filter_1), k8_eqrel_1(f1_s2_filter_1, f2_s2_filter_1)) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(f1_s2_filter_1), k8_eqrel_1(f1_s2_filter_1, f2_s2_filter_1)) => p1_s2_filter_1(A, B)) ) ) ) ) ).
fof(s3_filter_1, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s3_filter_1) =>  (! [B] :  (m1_subset_1(B, f1_s3_filter_1) =>  (! [C] :  (m1_subset_1(C, f1_s3_filter_1) => p1_s3_filter_1(k9_eqrel_1(f1_s3_filter_1, f2_s3_filter_1, A), k9_eqrel_1(f1_s3_filter_1, f2_s3_filter_1, B), k9_eqrel_1(f1_s3_filter_1, f2_s3_filter_1, C))) ) ) ) ) )  =>  (! [A] :  (m2_subset_1(A, k1_zfmisc_1(f1_s3_filter_1), k8_eqrel_1(f1_s3_filter_1, f2_s3_filter_1)) =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(f1_s3_filter_1), k8_eqrel_1(f1_s3_filter_1, f2_s3_filter_1)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(f1_s3_filter_1), k8_eqrel_1(f1_s3_filter_1, f2_s3_filter_1)) => p1_s3_filter_1(A, B, C)) ) ) ) ) ) ) ).
fof(s4_filter_1, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s4_filter_1) =>  (! [B] :  (m1_subset_1(B, f2_s4_filter_1) => p1_s4_filter_1(k1_domain_1(f1_s4_filter_1, f2_s4_filter_1, A, B))) ) ) )  =>  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(f1_s4_filter_1, f2_s4_filter_1)) => p1_s4_filter_1(A)) ) ) ).
fof(s5_filter_1, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s5_filter_1) =>  (! [B] :  (m1_subset_1(B, f1_s5_filter_1) =>  (! [C] :  (m1_subset_1(C, f2_s5_filter_1) =>  (! [D] :  (m1_subset_1(D, f2_s5_filter_1) => p1_s5_filter_1(k1_domain_1(f1_s5_filter_1, f2_s5_filter_1, A, C), k1_domain_1(f1_s5_filter_1, f2_s5_filter_1, B, D))) ) ) ) ) ) ) )  =>  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(f1_s5_filter_1, f2_s5_filter_1)) =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(f1_s5_filter_1, f2_s5_filter_1)) => p1_s5_filter_1(A, B)) ) ) ) ) ).
fof(s6_filter_1, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s6_filter_1) =>  (! [B] :  (m1_subset_1(B, f1_s6_filter_1) =>  (! [C] :  (m1_subset_1(C, f1_s6_filter_1) =>  (! [D] :  (m1_subset_1(D, f2_s6_filter_1) =>  (! [E] :  (m1_subset_1(E, f2_s6_filter_1) =>  (! [F] :  (m1_subset_1(F, f2_s6_filter_1) => p1_s6_filter_1(k1_domain_1(f1_s6_filter_1, f2_s6_filter_1, A, D), k1_domain_1(f1_s6_filter_1, f2_s6_filter_1, B, E), k1_domain_1(f1_s6_filter_1, f2_s6_filter_1, C, F))) ) ) ) ) ) ) ) ) ) ) )  =>  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(f1_s6_filter_1, f2_s6_filter_1)) =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(f1_s6_filter_1, f2_s6_filter_1)) =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(f1_s6_filter_1, f2_s6_filter_1)) => p1_s6_filter_1(A, B, C)) ) ) ) ) ) ) ).
fof(dt_k1_filter_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  &  ( ~ (v1_xboole_0(C))  &  (v19_lattices(C, A) &  (v20_lattices(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) )  =>  ( ~ (v1_xboole_0(k1_filter_1(A, B, C)))  &  (v19_lattices(k1_filter_1(A, B, C), A) &  (v20_lattices(k1_filter_1(A, B, C), A) & m1_subset_1(k1_filter_1(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ).
fof(commutativity_k1_filter_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  &  ( ~ (v1_xboole_0(C))  &  (v19_lattices(C, A) &  (v20_lattices(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) )  => k1_filter_1(A, B, C)=k1_filter_1(A, C, B)) ) ).
fof(idempotence_k1_filter_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  &  ( ~ (v1_xboole_0(C))  &  (v19_lattices(C, A) &  (v20_lattices(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) )  => k1_filter_1(A, B, B)=B) ) ).
fof(redefinition_k1_filter_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  &  ( ~ (v1_xboole_0(C))  &  (v19_lattices(C, A) &  (v20_lattices(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) )  => k1_filter_1(A, B, C)=k3_xboole_0(B, C)) ) ).
fof(dt_m1_filter_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & v1_relat_1(B))  =>  (! [C] :  (m1_filter_1(C, A, B) =>  (v1_funct_1(C) &  (v1_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ) ).
fof(existence_m1_filter_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & v1_relat_1(B))  =>  (? [C] : m1_filter_1(C, A, B)) ) ) ).
fof(dt_m2_filter_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & v1_relat_1(B))  =>  (! [C] :  (m2_filter_1(C, A, B) =>  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) ) ) ) ) ).
fof(existence_m2_filter_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & v1_relat_1(B))  =>  (? [C] : m2_filter_1(C, A, B)) ) ) ).
fof(dt_k2_filter_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_partfun1(B, A) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  =>  (v1_funct_1(k2_filter_1(A, B, C)) &  (v1_funct_2(k2_filter_1(A, B, C), k8_eqrel_1(A, B), k8_eqrel_1(A, B)) & m1_subset_1(k2_filter_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(A, B), k8_eqrel_1(A, B))))) ) ) ) ).
fof(dt_k3_filter_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_partfun1(B, A) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) ) )  =>  (v1_funct_1(k3_filter_1(A, B, C)) &  (v1_funct_2(k3_filter_1(A, B, C), k2_zfmisc_1(k8_eqrel_1(A, B), k8_eqrel_1(A, B)), k8_eqrel_1(A, B)) & m1_subset_1(k3_filter_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(A, B), k8_eqrel_1(A, B)), k8_eqrel_1(A, B))))) ) ) ) ).
fof(dt_f1_s1_filter_1, axiom,  ~ (v1_xboole_0(f1_s1_filter_1)) ).
fof(dt_f2_s1_filter_1, axiom,  (v1_partfun1(f2_s1_filter_1, f1_s1_filter_1) &  (v3_relat_2(f2_s1_filter_1) &  (v8_relat_2(f2_s1_filter_1) & m1_subset_1(f2_s1_filter_1, k1_zfmisc_1(k2_zfmisc_1(f1_s1_filter_1, f1_s1_filter_1)))) ) ) ).
fof(dt_f1_s2_filter_1, axiom,  ~ (v1_xboole_0(f1_s2_filter_1)) ).
fof(dt_f2_s2_filter_1, axiom,  (v1_partfun1(f2_s2_filter_1, f1_s2_filter_1) &  (v3_relat_2(f2_s2_filter_1) &  (v8_relat_2(f2_s2_filter_1) & m1_subset_1(f2_s2_filter_1, k1_zfmisc_1(k2_zfmisc_1(f1_s2_filter_1, f1_s2_filter_1)))) ) ) ).
fof(dt_f1_s3_filter_1, axiom,  ~ (v1_xboole_0(f1_s3_filter_1)) ).
fof(dt_f2_s3_filter_1, axiom,  (v1_partfun1(f2_s3_filter_1, f1_s3_filter_1) &  (v3_relat_2(f2_s3_filter_1) &  (v8_relat_2(f2_s3_filter_1) & m1_subset_1(f2_s3_filter_1, k1_zfmisc_1(k2_zfmisc_1(f1_s3_filter_1, f1_s3_filter_1)))) ) ) ).
fof(dt_k4_filter_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  ( ~ (v2_struct_0(k4_filter_1(A, B)))  &  (v3_lattices(k4_filter_1(A, B)) &  (v10_lattices(k4_filter_1(A, B)) & l3_lattices(k4_filter_1(A, B))) ) ) ) ) ).
fof(dt_k5_filter_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k5_filter_1(A, B, C), u1_struct_0(k4_filter_1(A, B)))) ) ).
fof(dt_k6_filter_1, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(B, B), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) ) )  =>  (v1_funct_1(k6_filter_1(A, B, C, D)) &  (v1_funct_2(k6_filter_1(A, B, C, D), k2_zfmisc_1(k2_zfmisc_1(A, B), k2_zfmisc_1(A, B)), k2_zfmisc_1(A, B)) & m1_subset_1(k6_filter_1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k2_zfmisc_1(A, B)), k2_zfmisc_1(A, B))))) ) ) ) ).
fof(redefinition_k6_filter_1, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(B, B), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) ) )  => k6_filter_1(A, B, C, D)=k5_funct_4(C, D)) ) ).
fof(dt_f1_s4_filter_1, axiom,  ~ (v1_xboole_0(f1_s4_filter_1)) ).
fof(dt_f2_s4_filter_1, axiom,  ~ (v1_xboole_0(f2_s4_filter_1)) ).
fof(dt_f1_s5_filter_1, axiom,  ~ (v1_xboole_0(f1_s5_filter_1)) ).
fof(dt_f2_s5_filter_1, axiom,  ~ (v1_xboole_0(f2_s5_filter_1)) ).
fof(dt_f1_s6_filter_1, axiom,  ~ (v1_xboole_0(f1_s6_filter_1)) ).
fof(dt_f2_s6_filter_1, axiom,  ~ (v1_xboole_0(f2_s6_filter_1)) ).
fof(dt_k7_filter_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  &  ( ~ (v2_struct_0(B))  & l3_lattices(B)) )  =>  (v3_lattices(k7_filter_1(A, B)) & l3_lattices(k7_filter_1(A, B))) ) ) ).
fof(dt_k8_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  => v1_relat_1(k8_filter_1(A))) ) ).
fof(symmetry_r1_filter_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) ) )  =>  (r1_filter_1(A, B) => r1_filter_1(B, A)) ) ) ).
fof(reflexivity_r1_filter_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) ) )  => r1_filter_1(A, A)) ) ).
fof(dt_k9_filter_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, u1_struct_0(B))) ) )  => m1_subset_1(k9_filter_1(A, B, C, D), u1_struct_0(k7_filter_1(A, B)))) ) ).
fof(redefinition_k9_filter_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, u1_struct_0(B))) ) )  => k9_filter_1(A, B, C, D)=k4_tarski(C, D)) ) ).
fof(d8_filter_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  => k8_filter_1(A)=a_1_0_filter_1(A)) ) ).
fof(fraenkel_a_1_0_filter_1, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  (r2_hidden(A, a_1_0_filter_1(B)) <=>  (? [C, D] :  ( (m1_subset_1(C, u1_struct_0(B)) & m1_subset_1(D, u1_struct_0(B)))  &  (A=k1_domain_1(u1_struct_0(B), u1_struct_0(B), C, D) & r3_lattices(B, C, D)) ) ) ) ) ) ).
fof(fc1_filter_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  ~ (v1_xboole_0(k3_filter_2(A, B))) ) ) ).
fof(fc2_filter_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_lattice2(A))))) )  =>  ~ (v1_xboole_0(k4_filter_2(A, B))) ) ) ).
fof(fc3_filter_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v21_lattices(k3_filter_2(A, B), k1_lattice2(A))) ) ).
fof(fc4_filter_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v20_lattices(k3_filter_2(A, B), k1_lattice2(A))) ) ).
fof(fc5_filter_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  (v20_lattices(B, k1_lattice2(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_lattice2(A))))) )  => v21_lattices(k4_filter_2(A, B), A)) ) ).
fof(fc6_filter_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  (v21_lattices(B, k1_lattice2(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_lattice2(A))))) )  => v20_lattices(k4_filter_2(A, B), A)) ) ).
fof(fc7_filter_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  (v19_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v18_lattices(k3_filter_2(A, B), k1_lattice2(A))) ) ).
fof(fc8_filter_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  (v18_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v19_lattices(k3_filter_2(A, B), k1_lattice2(A))) ) ).
fof(fc9_filter_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  (v19_lattices(B, k1_lattice2(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_lattice2(A))))) )  => v18_lattices(k4_filter_2(A, B), A)) ) ).
fof(fc10_filter_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  (v18_lattices(B, k1_lattice2(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_lattice2(A))))) )  => v19_lattices(k3_filter_2(k1_lattice2(A), B), A)) ) ).
fof(fc11_filter_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ~ (v1_xboole_0(k8_filter_2(A, B, C))) ) ) ).
fof(fc12_filter_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  &  ( ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  &  ( ~ (v1_xboole_0(C))  &  (v18_lattices(C, A) &  (v21_lattices(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) )  =>  (v18_lattices(k8_filter_2(A, B, C), A) & v21_lattices(k8_filter_2(A, B, C), A)) ) ) ).
fof(fc13_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (v3_lattices(k1_lattice2(A)) &  (v10_lattices(k1_lattice2(A)) & v17_lattices(k1_lattice2(A))) ) ) ) ).
fof(fc14_filter_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v20_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  => v3_lattices(k10_filter_2(A, B))) ) ).
fof(fc15_filter_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  & m1_subset_1(B, u1_struct_0(A)))  => v14_lattices(k10_filter_2(A, k6_filter_2(A, B)))) ) ).
fof(t1_filter_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A)))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(B, B), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (D=k1_realset1(C, B) =>  ( (v1_binop_1(C, A) => v1_binop_1(D, B))  &  ( (v3_binop_1(C, A) => v3_binop_1(D, B))  &  (v2_binop_1(C, A) => v2_binop_1(D, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_filter_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A)))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(B, B), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m2_subset_1(F, A, B) =>  ( (D=k1_realset1(C, B) & F=E)  =>  ( (r1_binop_1(A, E, C) => r1_binop_1(B, F, D))  &  ( (r2_binop_1(A, E, C) => r2_binop_1(B, F, D))  &  (r3_binop_1(A, E, C) => r3_binop_1(B, F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_filter_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A)))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, B), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(B, B), B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  ( (E=k1_realset1(C, B) & F=k1_realset1(D, B))  =>  ( (r4_binop_1(A, C, D) => r4_binop_1(B, E, F))  &  (r5_binop_1(A, C, D) => r5_binop_1(B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_filter_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A)))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, B), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(B, B), B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  ( (E=k1_realset1(C, B) &  (F=k1_realset1(D, B) & r6_binop_1(A, C, D)) )  => r6_binop_1(B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_filter_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A)))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, B), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(B, B), B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  ( (E=k1_realset1(C, B) &  (F=k1_realset1(D, B) & r1_lattice2(A, C, D)) )  => r1_lattice2(B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_filter_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (r1_filter_2(A, B, C) <=>  (! [D] :  (m1_subset_1(D, A) =>  (r2_tarski(D, B) <=> r2_tarski(D, C)) ) ) ) ) ) ) ) ) ) ).
fof(t6_filter_2, axiom,  (! [A] :  (l3_lattices(A) =>  (! [B] :  (l3_lattices(B) =>  (g3_lattices(u1_struct_0(A), u2_lattices(A), u1_lattices(A))=g3_lattices(u1_struct_0(B), u2_lattices(B), u1_lattices(B)) => k1_lattice2(A)=k1_lattice2(B)) ) ) ) ) ).
fof(t7_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  => k1_lattice2(k1_lattice2(A))=g3_lattices(u1_struct_0(A), u2_lattices(A), u1_lattices(A))) ) ).
fof(t8_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_lattices(B))  =>  (g3_lattices(u1_struct_0(A), u2_lattices(A), u1_lattices(A))=g3_lattices(u1_struct_0(B), u2_lattices(B), u1_lattices(B)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( (C=E & D=F)  =>  (k1_lattices(A, C, D)=k1_lattices(B, E, F) &  (k2_lattices(A, C, D)=k2_lattices(B, E, F) &  ( (r1_lattices(A, C, D) => r1_lattices(B, E, F))  &  (r1_lattices(B, E, F) => r1_lattices(A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v13_lattices(B) & l3_lattices(B)) ) )  =>  (g3_lattices(u1_struct_0(A), u2_lattices(A), u1_lattices(A))=g3_lattices(u1_struct_0(B), u2_lattices(B), u1_lattices(B)) => k5_lattices(A)=k5_lattices(B)) ) ) ) ) ).
fof(t10_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v14_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v14_lattices(B) & l3_lattices(B)) ) )  =>  (g3_lattices(u1_struct_0(A), u2_lattices(A), u1_lattices(A))=g3_lattices(u1_struct_0(B), u2_lattices(B), u1_lattices(B)) => k6_lattices(A)=k6_lattices(B)) ) ) ) ) ).
fof(t11_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v16_lattices(A) & l3_lattices(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v15_lattices(B) &  (v16_lattices(B) & l3_lattices(B)) ) ) )  =>  (g3_lattices(u1_struct_0(A), u2_lattices(A), u1_lattices(A))=g3_lattices(u1_struct_0(B), u2_lattices(B), u1_lattices(B)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( (C=E &  (D=F & r2_lattices(A, C, D)) )  => r2_lattices(B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v17_lattices(B) & l3_lattices(B)) ) )  =>  (g3_lattices(u1_struct_0(A), u2_lattices(A), u1_lattices(A))=g3_lattices(u1_struct_0(B), u2_lattices(B), u1_lattices(B)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (C=D => k7_lattices(A, C)=k7_lattices(B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t13_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  <=> r2_tarski(k4_lattices(A, C, D), B)) ) ) ) )  =>  (v20_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ) ).
fof(t14_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  <=> r2_tarski(k3_lattices(A, C, D), B)) ) ) ) )  =>  (v20_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ) ).
fof(t15_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  (g3_lattices(u1_struct_0(A), u2_lattices(A), u1_lattices(A))=g3_lattices(u1_struct_0(B), u2_lattices(B), u1_lattices(B)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v19_lattices(C, A) &  (v20_lattices(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ( ~ (v1_xboole_0(C))  &  (v19_lattices(C, B) &  (v20_lattices(C, B) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B)))) ) ) ) ) ) ) ) ) ) ).
fof(t16_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  (g3_lattices(u1_struct_0(A), u2_lattices(A), u1_lattices(A))=g3_lattices(u1_struct_0(B), u2_lattices(B), u1_lattices(B)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v18_lattices(C, A) &  (v21_lattices(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ( ~ (v1_xboole_0(C))  &  (v18_lattices(C, B) &  (v21_lattices(C, B) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B)))) ) ) ) ) ) ) ) ) ) ).
fof(d2_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_filter_2(A, B)=B) ) ) ) ).
fof(d3_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_lattice2(A))) => k2_filter_2(A, B)=B) ) ) ) ).
fof(t17_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_lattice2(A))) =>  (k2_filter_2(A, k1_filter_2(A, B))=B & k1_filter_2(A, k2_filter_2(A, C))=C) ) ) ) ) ) ) ).
fof(t18_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_lattice2(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k1_lattice2(A))) =>  (k4_lattices(A, B, C)=k3_lattices(k1_lattice2(A), k1_filter_2(A, B), k1_filter_2(A, C)) &  (k3_lattices(A, B, C)=k4_lattices(k1_lattice2(A), k1_filter_2(A, B), k1_filter_2(A, C)) &  (k4_lattices(k1_lattice2(A), D, E)=k3_lattices(A, k2_filter_2(A, D), k2_filter_2(A, E)) & k3_lattices(k1_lattice2(A), D, E)=k4_lattices(A, k2_filter_2(A, D), k2_filter_2(A, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_lattice2(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k1_lattice2(A))) =>  ( (r3_lattices(A, B, C) => r3_lattices(k1_lattice2(A), k1_filter_2(A, C), k1_filter_2(A, B)))  &  ( (r3_lattices(k1_lattice2(A), k1_filter_2(A, C), k1_filter_2(A, B)) => r3_lattices(A, B, C))  &  ( (r3_lattices(k1_lattice2(A), D, E) => r3_lattices(A, k2_filter_2(A, E), k2_filter_2(A, D)))  &  (r3_lattices(A, k2_filter_2(A, E), k2_filter_2(A, D)) => r3_lattices(k1_lattice2(A), D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k3_filter_2(A, B)=B) ) ) ) ).
fof(d5_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) => k4_filter_2(A, B)=B) ) ) ) ).
fof(t20_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  <=>  ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, k1_lattice2(A)) &  (v20_lattices(B, k1_lattice2(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_lattice2(A))))) ) ) ) ) ) ) ).
fof(t21_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ( ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  <=>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k3_lattices(A, C, D), B)) ) ) ) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r3_lattices(A, D, C))  => r2_tarski(D, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v18_lattices(D, A) &  (v21_lattices(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (r2_tarski(B, D) =>  (r2_tarski(k4_lattices(A, B, C), D) & r2_tarski(k4_lattices(A, C, B), D)) ) ) ) ) ) ) ) ) ) ).
fof(t23_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & r2_tarski(C, B)) ) ) ) ) ) ).
fof(t24_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v13_lattices(A) => r2_tarski(k5_lattices(A), B)) ) ) ) ) ).
fof(t25_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (v13_lattices(A) =>  ( ~ (v1_xboole_0(k6_domain_1(u1_struct_0(A), k5_lattices(A))))  &  (v18_lattices(k6_domain_1(u1_struct_0(A), k5_lattices(A)), A) &  (v21_lattices(k6_domain_1(u1_struct_0(A), k5_lattices(A)), A) & m1_subset_1(k6_domain_1(u1_struct_0(A), k5_lattices(A)), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ).
fof(t26_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ( ~ (v1_xboole_0(k6_domain_1(u1_struct_0(A), B)))  &  (v18_lattices(k6_domain_1(u1_struct_0(A), B), A) &  (v21_lattices(k6_domain_1(u1_struct_0(A), B), A) & m1_subset_1(k6_domain_1(u1_struct_0(A), B), k1_zfmisc_1(u1_struct_0(A)))) ) )  => v13_lattices(A)) ) ) ) ) ).
fof(t27_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  ( ~ (v1_xboole_0(u1_struct_0(A)))  &  (v18_lattices(u1_struct_0(A), A) &  (v21_lattices(u1_struct_0(A), A) & m1_subset_1(u1_struct_0(A), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ).
fof(d6_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  => k5_filter_2(A)=u1_struct_0(A)) ) ).
fof(t28_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, k6_filter_2(A, B)) <=> r3_lattices(A, C, B)) ) ) ) ) ) ) ).
fof(t29_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k6_filter_2(A, B)=k2_filter_0(k1_lattice2(A), k1_filter_2(A, B)) & k6_filter_2(k1_lattice2(A), k1_filter_2(A, B))=k2_filter_0(A, B)) ) ) ) ) ).
fof(t30_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(B, k6_filter_2(A, B)) &  (r2_tarski(k4_lattices(A, B, C), k6_filter_2(A, B)) & r2_tarski(k4_lattices(A, C, B), k6_filter_2(A, B))) ) ) ) ) ) ) ) ).
fof(t31_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (v14_lattices(A) => r1_filter_2(u1_struct_0(A), k5_filter_2(A), k6_filter_2(A, k6_lattices(A)))) ) ) ).
fof(d8_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v1_filter_2(B, A) <=>  ( ~ (B=u1_struct_0(A))  &  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v18_lattices(C, A) &  (v21_lattices(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (r1_tarski(B, C) =>  (C=u1_struct_0(A) | r1_filter_2(u1_struct_0(A), B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t32_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v1_filter_2(B, A) <=> v1_filter_0(k3_filter_2(A, B), k1_lattice2(A))) ) ) ) ) ).
fof(t33_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (v14_lattices(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ~ ( ( ~ (B=u1_struct_0(A))  &  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v18_lattices(C, A) &  (v21_lattices(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ~ ( (r1_tarski(B, C) & v1_filter_2(C, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ ( ( ~ ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_lattices(A, B, C)=B) ) )  & k6_filter_2(A, B)=u1_struct_0(A)) ) ) ) ) ) ).
fof(t35_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ ( (v14_lattices(A) &  ( ~ (B=k6_lattices(A))  &  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v18_lattices(C, A) &  (v21_lattices(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ~ ( (r2_tarski(B, C) & v1_filter_2(C, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v18_lattices(C, A) &  (v21_lattices(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (C=k7_filter_2(A, B) <=>  (r1_tarski(B, C) &  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v18_lattices(D, A) &  (v21_lattices(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (r1_tarski(B, D) => r1_tarski(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))))  =>  (k3_filter_0(k1_lattice2(A), k3_filter_2(A, B))=k7_filter_2(A, B) &  (k3_filter_0(A, B)=k7_filter_2(k1_lattice2(A), k3_filter_2(A, B)) &  (k3_filter_0(A, k4_filter_2(A, C))=k7_filter_2(k1_lattice2(A), C) & k3_filter_0(k1_lattice2(A), C)=k7_filter_2(A, k4_filter_2(A, C))) ) ) ) ) ) ) ) ) ).
fof(t37_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  => r1_filter_2(u1_struct_0(A), k7_filter_2(A, B), B)) ) ) ) ).
fof(t38_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  =>  ( (r1_tarski(C, D) => r1_tarski(k7_filter_2(A, C), k7_filter_2(A, D)))  & r1_tarski(k7_filter_2(A, k7_filter_2(A, B)), k7_filter_2(A, B))) ) ) ) ) ) ) ) ) ).
fof(t39_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (r2_tarski(B, C) => r1_tarski(k6_filter_2(A, B), k7_filter_2(A, C))) ) ) ) ) ) ) ).
fof(t40_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (r1_filter_2(u1_struct_0(A), C, k6_domain_1(u1_struct_0(A), B)) => r1_filter_2(u1_struct_0(A), k7_filter_2(A, C), k6_filter_2(A, B))) ) ) ) ) ) ) ).
fof(t41_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ( (v14_lattices(A) & r2_tarski(k6_lattices(A), B))  =>  (r1_filter_2(u1_struct_0(A), k7_filter_2(A, B), k5_filter_2(A)) & k7_filter_2(A, B)=u1_struct_0(A)) ) ) ) ) ) ).
fof(t42_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ( (v14_lattices(A) & r2_tarski(k6_lattices(A), B))  =>  (r1_filter_2(u1_struct_0(A), B, k5_filter_2(A)) & B=u1_struct_0(A)) ) ) ) ) ) ).
fof(d10_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v2_filter_2(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(k4_lattices(A, C, D), B) <=>  (r2_tarski(C, B) | r2_tarski(D, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v2_filter_2(B, A) <=> v2_filter_0(k3_filter_2(A, B), k1_lattice2(A))) ) ) ) ) ).
fof(t44_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))))  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))))  =>  (k8_filter_2(A, B, C)=k5_filter_0(k1_lattice2(A), k3_filter_2(A, B), k3_filter_2(A, C)) &  (k8_filter_2(k1_lattice2(A), k3_filter_2(A, B), k3_filter_2(A, C))=k5_filter_0(A, B, C) &  (k8_filter_2(k1_lattice2(A), D, E)=k5_filter_0(A, k4_filter_2(A, D), k4_filter_2(A, E)) & k8_filter_2(A, k4_filter_2(A, D), k4_filter_2(A, E))=k5_filter_0(k1_lattice2(A), D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))))  =>  ( (r2_tarski(B, D) & r2_tarski(C, E))  =>  (r2_tarski(k3_lattices(A, B, C), k8_filter_2(A, D, E)) & r2_tarski(k3_lattices(A, C, B), k8_filter_2(A, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( (r2_tarski(B, k8_filter_2(A, C, D)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (B=k3_lattices(A, E, F) &  (r2_tarski(E, C) & r2_tarski(F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  => r1_filter_2(u1_struct_0(A), k8_filter_2(A, B, C), k8_filter_2(A, C, B))) ) ) ) ) ) ).
fof(t48_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (r1_filter_2(u1_struct_0(A), k7_filter_2(A, k4_subset_1(u1_struct_0(A), B, C)), k7_filter_2(A, k4_subset_1(u1_struct_0(A), k7_filter_2(A, B), C))) & r1_filter_2(u1_struct_0(A), k7_filter_2(A, k4_subset_1(u1_struct_0(A), B, C)), k7_filter_2(A, k4_subset_1(u1_struct_0(A), B, k7_filter_2(A, C))))) ) ) ) ) ) ) ).
fof(t50_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v18_lattices(C, A) &  (v21_lattices(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (r1_tarski(B, k8_filter_2(A, B, C)) & r1_tarski(C, k8_filter_2(A, B, C))) ) ) ) ) ) ) ).
fof(t51_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v18_lattices(C, A) &  (v21_lattices(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  => r1_filter_2(u1_struct_0(A), k7_filter_2(A, k4_subset_1(u1_struct_0(A), B, C)), k7_filter_2(A, k8_filter_2(A, B, C)))) ) ) ) ) ) ).
fof(t52_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v16_lattices(A) & l3_lattices(A)) ) ) )  <=>  ( ~ (v2_struct_0(k1_lattice2(A)))  &  (v10_lattices(k1_lattice2(A)) &  (v15_lattices(k1_lattice2(A)) &  (v16_lattices(k1_lattice2(A)) & l3_lattices(k1_lattice2(A))) ) ) ) ) ) ) ).
fof(t53_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  <=>  ( ~ (v2_struct_0(k1_lattice2(A)))  &  (v10_lattices(k1_lattice2(A)) &  (v17_lattices(k1_lattice2(A)) & l3_lattices(k1_lattice2(A))) ) ) ) ) ) ).
fof(t54_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_lattice2(A))) =>  (k7_lattices(k1_lattice2(A), k1_filter_2(A, B))=k7_lattices(A, B) & k7_lattices(A, k2_filter_2(A, C))=k7_lattices(k1_lattice2(A), C)) ) ) ) ) ) ) ).
fof(t55_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v18_lattices(C, A) &  (v21_lattices(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  => r1_filter_2(u1_struct_0(A), k7_filter_2(A, k4_subset_1(u1_struct_0(A), B, C)), k8_filter_2(A, B, C))) ) ) ) ) ) ).
fof(t56_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v1_filter_2(B, A) <=>  ( ~ (B=u1_struct_0(A))  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) | r2_tarski(k7_lattices(A, C), B)) ) ) ) ) ) ) ) ) ).
fof(t57_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ( ( ~ (B=k5_filter_2(A))  & v2_filter_2(B, A))  <=> v1_filter_2(B, A)) ) ) ) ) ).
fof(t58_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v1_filter_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) <=>  ~ (r2_tarski(k7_lattices(A, C), B)) ) ) ) ) ) ) ) ) ).
fof(t59_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v18_lattices(D, A) &  (v21_lattices(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ~ ( (v1_filter_2(D, A) &  ( (r2_tarski(B, D) &  ~ (r2_tarski(C, D)) )  |  ( ~ (r2_tarski(B, D))  & r2_tarski(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v20_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ( (v1_funct_1(k1_realset1(u2_lattices(A), B)) &  (v1_funct_2(k1_realset1(u2_lattices(A), B), k2_zfmisc_1(B, B), B) & m1_subset_1(k1_realset1(u2_lattices(A), B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  &  (v1_funct_1(k1_realset1(u1_lattices(A), B)) &  (v1_funct_2(k1_realset1(u1_lattices(A), B), k2_zfmisc_1(B, B), B) & m1_subset_1(k1_realset1(u1_lattices(A), B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) ) ) ) ) ) ) ).
fof(t61_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v20_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(B, B), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  ( (C=k1_realset1(u2_lattices(A), B) & D=k1_realset1(u1_lattices(A), B))  =>  (v1_binop_1(C, B) &  (v2_binop_1(C, B) &  (v1_binop_1(D, B) &  (v2_binop_1(D, B) &  (r1_lattice2(B, C, D) & r1_lattice2(B, D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r3_lattices(A, B, C) =>  (r2_tarski(D, k9_filter_2(A, B, C)) <=>  (r3_lattices(A, B, D) & r3_lattices(A, D, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_lattices(A, B, C) =>  (r2_tarski(B, k9_filter_2(A, B, C)) & r2_tarski(C, k9_filter_2(A, B, C))) ) ) ) ) ) ) ) ).
fof(t64_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_filter_2(u1_struct_0(A), k9_filter_2(A, B, B), k6_domain_1(u1_struct_0(A), B))) ) ) ) ).
fof(t65_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v14_lattices(A) => r1_filter_2(u1_struct_0(A), k2_filter_0(A, B), k9_filter_2(A, B, k6_lattices(A)))) ) ) ) ) ).
fof(t66_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v13_lattices(A) => r1_filter_2(u1_struct_0(A), k6_filter_2(A, B), k9_filter_2(A, k5_lattices(A), B))) ) ) ) ) ).
fof(t67_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v19_lattices(C, A) &  (v20_lattices(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v19_lattices(D, B) &  (v20_lattices(D, B) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) )  =>  ( (g3_lattices(u1_struct_0(A), u2_lattices(A), u1_lattices(A))=g3_lattices(u1_struct_0(B), u2_lattices(B), u1_lattices(B)) & C=D)  => k6_filter_0(A, C)=k6_filter_0(B, D)) ) ) ) ) ) ) ) ) ).
fof(d13_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  (m2_nat_lat(B, A) <=>  (? [C] :  ( ( ~ (v1_xboole_0(C))  &  (v20_lattices(C, A) &  (v21_lattices(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  &  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(C, C), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, C), C)))) )  &  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(C, C), C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, C), C)))) )  &  (D=k1_realset1(u2_lattices(A), C) &  (E=k1_realset1(u1_lattices(A), C) & g3_lattices(u1_struct_0(B), u2_lattices(B), u1_lattices(B))=g3_lattices(C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m2_nat_lat(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => m1_subset_1(C, u1_struct_0(A))) ) ) ) ) ) ).
fof(d14_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v20_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  (m2_nat_lat(C, A) =>  (C=k10_filter_2(A, B) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(B, B), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  &  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, B), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  &  (D=k1_realset1(u2_lattices(A), B) &  (E=k1_realset1(u1_lattices(A), B) & C=g3_lattices(B, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t69_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  => k6_filter_0(A, B)=k10_filter_2(A, B)) ) ) ) ).
fof(t70_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v20_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  => k10_filter_2(A, B)=k11_filter_2(k1_lattice2(A), k10_filter_2(k1_lattice2(A), k3_filter_2(A, B)))) ) ) ) ).
fof(t71_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (k10_filter_2(A, k5_filter_2(A))=g3_lattices(u1_struct_0(A), u2_lattices(A), u1_lattices(A)) & k10_filter_2(A, k1_filter_0(A))=g3_lattices(u1_struct_0(A), u2_lattices(A), u1_lattices(A))) ) ) ).
fof(t72_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v20_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (u1_struct_0(k10_filter_2(A, B))=B &  (u2_lattices(k10_filter_2(A, B))=k1_realset1(u2_lattices(A), B) & u1_lattices(k10_filter_2(A, B))=k1_realset1(u1_lattices(A), B)) ) ) ) ) ) ).
fof(t73_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v20_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k10_filter_2(A, B))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k10_filter_2(A, B))) =>  ( (C=E & D=F)  =>  (k3_lattices(A, C, D)=k3_lattices(k10_filter_2(A, B), E, F) & k4_lattices(A, C, D)=k4_lattices(k10_filter_2(A, B), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t74_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v20_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k10_filter_2(A, B))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k10_filter_2(A, B))) =>  ( (C=E & D=F)  =>  (r3_lattices(A, C, D) <=> r3_lattices(k10_filter_2(A, B), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v13_lattices(A) => v13_lattices(k10_filter_2(A, B))) ) ) ) ) ).
fof(t76_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v20_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v12_lattices(A) => v12_lattices(k10_filter_2(A, B))) ) ) ) ) ).
fof(t77_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v20_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v11_lattices(A) => v11_lattices(k10_filter_2(A, B))) ) ) ) ) ).
fof(t78_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v3_filter_0(A) & r3_lattices(A, B, C))  => v3_filter_0(k10_filter_2(A, k9_filter_2(A, B, C)))) ) ) ) ) ) ) ).
fof(t79_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_lattices(k10_filter_2(A, k6_filter_2(A, B)))=B) ) ) ) ).
fof(t80_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v13_lattices(A) =>  (v13_lattices(k10_filter_2(A, k6_filter_2(A, B))) & k5_lattices(k10_filter_2(A, k6_filter_2(A, B)))=k5_lattices(A)) ) ) ) ) ) ).
fof(t81_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v13_lattices(A) => v15_lattices(k10_filter_2(A, k6_filter_2(A, B)))) ) ) ) ) ).
fof(t82_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_lattices(A, B, C) =>  (v15_lattices(k10_filter_2(A, k9_filter_2(A, B, C))) &  (k6_lattices(k10_filter_2(A, k9_filter_2(A, B, C)))=C & k5_lattices(k10_filter_2(A, k9_filter_2(A, B, C)))=B) ) ) ) ) ) ) ) ) ).
fof(t83_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v16_lattices(A) & l3_lattices(A)) ) ) )  & v12_lattices(A))  =>  ( ~ (v2_struct_0(k10_filter_2(A, k6_filter_2(A, B))))  &  (v10_lattices(k10_filter_2(A, k6_filter_2(A, B))) &  (v15_lattices(k10_filter_2(A, k6_filter_2(A, B))) &  (v16_lattices(k10_filter_2(A, k6_filter_2(A, B))) & l3_lattices(k10_filter_2(A, k6_filter_2(A, B)))) ) ) ) ) ) ) ) ) ).
fof(t84_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v16_lattices(A) & l3_lattices(A)) ) ) )  &  (v12_lattices(A) & r3_lattices(A, B, C)) )  =>  ( ~ (v2_struct_0(k10_filter_2(A, k9_filter_2(A, B, C))))  &  (v10_lattices(k10_filter_2(A, k9_filter_2(A, B, C))) &  (v15_lattices(k10_filter_2(A, k9_filter_2(A, B, C))) &  (v16_lattices(k10_filter_2(A, k9_filter_2(A, B, C))) & l3_lattices(k10_filter_2(A, k9_filter_2(A, B, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t85_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  & r3_lattices(A, B, C))  =>  ( ~ (v2_struct_0(k10_filter_2(A, k9_filter_2(A, B, C))))  &  (v10_lattices(k10_filter_2(A, k9_filter_2(A, B, C))) &  (v17_lattices(k10_filter_2(A, k9_filter_2(A, B, C))) & l3_lattices(k10_filter_2(A, k9_filter_2(A, B, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t86_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ( ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  <=> r2_tarski(k3_lattices(A, C, D), B)) ) ) ) ) ) ) ) ) ) ).
fof(symmetry_r1_filter_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(A))) )  =>  (r1_filter_2(A, B, C) => r1_filter_2(A, C, B)) ) ) ).
fof(reflexivity_r1_filter_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(A))) )  => r1_filter_2(A, B, B)) ) ).
fof(redefinition_r1_filter_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(A))) )  =>  (r1_filter_2(A, B, C) <=> B=C) ) ) ).
fof(dt_k1_filter_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k1_filter_2(A, B), u1_struct_0(k1_lattice2(A)))) ) ).
fof(dt_k2_filter_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  & m1_subset_1(B, u1_struct_0(k1_lattice2(A))))  => m1_subset_1(k2_filter_2(A, B), u1_struct_0(A))) ) ).
fof(dt_k3_filter_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k3_filter_2(A, B), k1_zfmisc_1(u1_struct_0(k1_lattice2(A))))) ) ).
fof(dt_k4_filter_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))))  => m1_subset_1(k4_filter_2(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k5_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  ( ~ (v1_xboole_0(k5_filter_2(A)))  &  (v18_lattices(k5_filter_2(A), A) &  (v21_lattices(k5_filter_2(A), A) & m1_subset_1(k5_filter_2(A), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ).
fof(dt_k6_filter_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  ( ~ (v1_xboole_0(k6_filter_2(A, B)))  &  (v18_lattices(k6_filter_2(A, B), A) &  (v21_lattices(k6_filter_2(A, B), A) & m1_subset_1(k6_filter_2(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ).
fof(dt_k7_filter_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  ( ~ (v1_xboole_0(k7_filter_2(A, B)))  &  (v18_lattices(k7_filter_2(A, B), A) &  (v21_lattices(k7_filter_2(A, B), A) & m1_subset_1(k7_filter_2(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ).
fof(dt_k8_filter_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  => m1_subset_1(k8_filter_2(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k9_filter_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  ( ~ (v1_xboole_0(k9_filter_2(A, B, C)))  &  (v20_lattices(k9_filter_2(A, B, C), A) &  (v21_lattices(k9_filter_2(A, B, C), A) & m1_subset_1(k9_filter_2(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ).
fof(dt_k10_filter_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v20_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  => m2_nat_lat(k10_filter_2(A, B), A)) ) ).
fof(dt_k11_filter_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  & m2_nat_lat(B, A))  =>  (v3_lattices(k11_filter_2(A, B)) & m2_nat_lat(k11_filter_2(A, B), k1_lattice2(A))) ) ) ).
fof(redefinition_k11_filter_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  & m2_nat_lat(B, A))  => k11_filter_2(A, B)=k1_lattice2(B)) ) ).
fof(d7_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_filter_2(A, B)=a_2_0_filter_2(A, B)) ) ) ) ).
fof(d11_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  => k8_filter_2(A, B, C)=a_3_0_filter_2(A, B, C)) ) ) ) ) ) ).
fof(t49_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v18_lattices(C, A) &  (v21_lattices(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  => k7_filter_2(A, k4_subset_1(u1_struct_0(A), B, C))=a_3_1_filter_2(A, B, C)) ) ) ) ) ) ).
fof(d12_filter_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_lattices(A, B, C) => k9_filter_2(A, B, C)=a_3_2_filter_2(A, B, C)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_filter_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_2_0_filter_2(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & r3_lattices(B, D, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_filter_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  &  ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) )  =>  (r2_hidden(A, a_3_0_filter_2(B, C, D)) <=>  (? [E, F] :  ( (m1_subset_1(E, u1_struct_0(B)) & m1_subset_1(F, u1_struct_0(B)))  &  (A=k3_lattices(B, E, F) &  (r2_tarski(E, C) & r2_tarski(F, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_filter_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  &  ( ( ~ (v1_xboole_0(C))  &  (v18_lattices(C, B) &  (v21_lattices(C, B) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B)))) ) )  &  ( ~ (v1_xboole_0(D))  &  (v18_lattices(D, B) &  (v21_lattices(D, B) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) ) ) )  =>  (r2_hidden(A, a_3_1_filter_2(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E &  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(B)) &  (r3_lattices(B, E, k3_lattices(B, F, G)) &  (r2_tarski(F, C) & r2_tarski(G, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_2_filter_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  &  (m1_subset_1(C, u1_struct_0(B)) & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_2_filter_2(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E &  (r3_lattices(B, C, E) & r3_lattices(B, E, D)) ) ) ) ) ) ) ).
fof(rc1_fin_topo, axiom,  (? [A] :  (l1_orders_2(A) &  ( ~ (v2_struct_0(A))  & v1_orders_2(A)) ) ) ).
fof(fc1_fin_topo, axiom,  ( ~ (v2_struct_0(k4_fin_topo))  & v1_orders_2(k4_fin_topo)) ).
fof(fc2_fin_topo, axiom,  (v8_struct_0(k4_fin_topo) &  (v1_orders_2(k4_fin_topo) & v3_orders_2(k4_fin_topo)) ) ).
fof(rc2_fin_topo, axiom,  (? [A] :  (l1_orders_2(A) &  ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v1_orders_2(A) & v3_orders_2(A)) ) ) ) ) ).
fof(t1_fin_topo, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, k9_setfam_1(A)) =>  ( (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(1, C) =>  (r1_xxreal_0(k3_finseq_1(B), C) | r1_tarski(k7_partfun1(k9_setfam_1(A), B, C), k7_partfun1(k9_setfam_1(A), B, k1_nat_1(C, 1)))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(C, D) &  (r1_xxreal_0(1, C) & r1_xxreal_0(D, k3_finseq_1(B))) )  => r1_tarski(k7_partfun1(k9_setfam_1(A), B, C), k7_partfun1(k9_setfam_1(A), B, D))) ) ) ) ) ) ) ) ) ).
fof(t2_fin_topo, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, k9_setfam_1(A)) =>  ( (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(1, C) =>  (r1_xxreal_0(k3_finseq_1(B), C) | r1_tarski(k7_partfun1(k9_setfam_1(A), B, C), k7_partfun1(k9_setfam_1(A), B, k1_nat_1(C, 1)))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(D, k3_finseq_1(B)) & r1_tarski(k7_partfun1(k9_setfam_1(A), B, D), k7_partfun1(k9_setfam_1(A), B, C))) )  =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(C, E) & r1_xxreal_0(E, D))  => k7_partfun1(k9_setfam_1(A), B, D)=k7_partfun1(k9_setfam_1(A), B, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_fin_topo, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_fin_topo(A, B)=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), u1_orders_2(A), B)) ) ) ) ).
fof(d2_fin_topo, axiom,  (! [A] : k3_fin_topo(A)=k1_tarski(k4_tarski(A, A))) ).
fof(d3_fin_topo, axiom, k4_fin_topo=g1_orders_2(k6_domain_1(k4_ordinal1, k5_numbers), k3_fin_topo(k5_numbers))).
fof(d4_fin_topo, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (v3_orders_2(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r2_tarski(B, k1_fin_topo(A, B))) ) ) ) ) ).
fof(t3_fin_topo, axiom, v3_orders_2(k4_fin_topo)).
fof(t5_fin_topo, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(B, k5_fin_topo(A, C)) <=>  ( ~ (r1_xboole_0(k1_fin_topo(A, B), C))  &  ~ (r1_xboole_0(k1_fin_topo(A, B), k3_subset_1(u1_struct_0(A), C))) ) ) ) ) ) ) ) ) ).
fof(d6_fin_topo, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k6_fin_topo(A, B)=k9_subset_1(u1_struct_0(A), B, k5_fin_topo(A, B))) ) ) ) ).
fof(d7_fin_topo, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k7_fin_topo(A, B)=k9_subset_1(u1_struct_0(A), k3_subset_1(u1_struct_0(A), B), k5_fin_topo(A, B))) ) ) ) ).
fof(t6_fin_topo, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k5_fin_topo(A, B)=k4_subset_1(u1_struct_0(A), k6_fin_topo(A, B), k7_fin_topo(A, B))) ) ) ) ).
fof(d11_fin_topo, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k11_fin_topo(A, B)=k7_subset_1(u1_struct_0(A), B, k10_fin_topo(A, B))) ) ) ) ).
fof(d13_fin_topo, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (v1_fin_topo(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, k1_fin_topo(A, B)) => r2_tarski(B, k1_fin_topo(A, C))) ) ) ) ) ) ) ) ).
fof(t7_fin_topo, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(B, k8_fin_topo(A, C)) <=> r1_tarski(k1_fin_topo(A, B), C)) ) ) ) ) ) ) ).
fof(t8_fin_topo, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(B, k9_fin_topo(A, C)) <=>  ~ (r1_xboole_0(k1_fin_topo(A, B), C)) ) ) ) ) ) ) ) ).
fof(t9_fin_topo, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(B, k10_fin_topo(A, C)) <=>  (r2_tarski(B, C) & r1_xboole_0(k7_subset_1(u1_struct_0(A), k1_fin_topo(A, B), k6_domain_1(u1_struct_0(A), B)), C)) ) ) ) ) ) ) ) ).
fof(t10_fin_topo, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(B, k11_fin_topo(A, C)) <=>  (r2_tarski(B, C) &  ~ (r1_xboole_0(k7_subset_1(u1_struct_0(A), k1_fin_topo(A, B), k6_domain_1(u1_struct_0(A), B)), C)) ) ) ) ) ) ) ) ) ).
fof(t11_fin_topo, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(B, k12_fin_topo(A, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (r2_tarski(D, C) & r2_tarski(B, k1_fin_topo(A, D))) ) ) ) ) ) ) ) ) ) ).
fof(t12_fin_topo, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (v1_fin_topo(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k9_fin_topo(A, B)=k12_fin_topo(A, B)) ) ) ) ) ).
fof(d14_fin_topo, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_fin_topo(B, A) <=> B=k8_fin_topo(A, B)) ) ) ) ) ).
fof(d15_fin_topo, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_fin_topo(B, A) <=> B=k9_fin_topo(A, B)) ) ) ) ) ).
fof(d16_fin_topo, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v4_fin_topo(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (B=k4_subset_1(u1_struct_0(A), C, D) &  ( ~ (C=k1_xboole_0)  &  ( ~ (D=k1_xboole_0)  &  (r1_xboole_0(C, D) & r1_xboole_0(k9_fin_topo(A, C), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_fin_topo, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(B, k9_fin_topo(A, B))) ) ) ) ).
fof(t14_fin_topo, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(B, C) => r1_tarski(k9_fin_topo(A, B), k9_fin_topo(A, C))) ) ) ) ) ) ) ).
fof(t15_fin_topo, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v3_orders_2(A) & l1_orders_2(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v4_fin_topo(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r2_tarski(C, B) &  (! [D] :  (m2_finseq_1(D, k9_setfam_1(u1_struct_0(A))) =>  ~ ( ( ~ (r1_xxreal_0(k3_finseq_1(D), k5_numbers))  &  (k7_partfun1(k9_setfam_1(u1_struct_0(A)), D, 1)=k6_domain_1(u1_struct_0(A), C) &  ( (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  ( ~ (r1_xxreal_0(k3_finseq_1(D), E))  &  ~ (k7_partfun1(k9_setfam_1(u1_struct_0(A)), D, k1_nat_1(E, 1))=k9_subset_1(u1_struct_0(A), k9_fin_topo(A, k7_partfun1(k9_setfam_1(u1_struct_0(A)), D, E)), B)) ) ) ) ) )  & r1_tarski(B, k7_partfun1(k9_setfam_1(u1_struct_0(A)), D, k3_finseq_1(D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_fin_topo, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k3_subset_1(u1_struct_0(A), k8_fin_topo(A, k3_subset_1(u1_struct_0(A), B)))=k9_fin_topo(A, B)) ) ) ) ).
fof(t17_fin_topo, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k3_subset_1(u1_struct_0(A), k9_fin_topo(A, k3_subset_1(u1_struct_0(A), B)))=k8_fin_topo(A, B)) ) ) ) ).
fof(t18_fin_topo, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k5_fin_topo(A, B)=k9_subset_1(u1_struct_0(A), k9_fin_topo(A, B), k9_fin_topo(A, k3_subset_1(u1_struct_0(A), B)))) ) ) ) ).
fof(t19_fin_topo, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k5_fin_topo(A, k3_subset_1(u1_struct_0(A), B))=k5_fin_topo(A, B)) ) ) ) ).
fof(t20_fin_topo, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_tarski(B, k10_fin_topo(A, C)) & r2_tarski(B, k9_fin_topo(A, k7_subset_1(u1_struct_0(A), C, k6_domain_1(u1_struct_0(A), B))))) ) ) ) ) ) ) ) ).
fof(t21_fin_topo, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( ~ (k10_fin_topo(A, B)=k1_xboole_0)  &  ( ~ (k1_card_1(B)=1)  & v4_fin_topo(B, A)) ) ) ) ) ) ) ).
fof(t22_fin_topo, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k8_fin_topo(A, B), B)) ) ) ) ).
fof(t23_fin_topo, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_fin_topo(B, A) => v3_fin_topo(k3_subset_1(u1_struct_0(A), B), A)) ) ) ) ) ).
fof(t24_fin_topo, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_fin_topo(B, A) => v2_fin_topo(k3_subset_1(u1_struct_0(A), B), A)) ) ) ) ) ).
fof(s1_fin_topo, axiom,  ( (v1_finset_1(f2_s1_fin_topo) &  (r1_tarski(f3_s1_fin_topo, f2_s1_fin_topo) &  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(f1_s1_fin_topo)) =>  (r1_tarski(A, f2_s1_fin_topo) =>  (r1_tarski(A, f4_s1_fin_topo(A)) & r1_tarski(f4_s1_fin_topo(A), f2_s1_fin_topo)) ) ) ) ) )  =>  (? [A] :  (m2_finseq_1(A, k9_setfam_1(f1_s1_fin_topo)) &  ( ~ (r1_xxreal_0(k3_finseq_1(A), k5_numbers))  &  (k7_partfun1(k9_setfam_1(f1_s1_fin_topo), A, 1)=f3_s1_fin_topo &  ( (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  ( ~ (r1_xxreal_0(k3_finseq_1(A), B))  &  ~ (k7_partfun1(k9_setfam_1(f1_s1_fin_topo), A, k1_nat_1(B, 1))=f4_s1_fin_topo(k7_partfun1(k9_setfam_1(f1_s1_fin_topo), A, B))) ) ) ) ) )  &  (f4_s1_fin_topo(k7_partfun1(k9_setfam_1(f1_s1_fin_topo), A, k3_finseq_1(A)))=k7_partfun1(k9_setfam_1(f1_s1_fin_topo), A, k3_finseq_1(A)) &  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(C, k3_finseq_1(A)) =>  (r1_xxreal_0(B, k5_numbers) |  (r1_xxreal_0(C, B) |  (r1_tarski(k7_partfun1(k9_setfam_1(f1_s1_fin_topo), A, B), f2_s1_fin_topo) & r2_xboole_0(k7_partfun1(k9_setfam_1(f1_s1_fin_topo), A, B), k7_partfun1(k9_setfam_1(f1_s1_fin_topo), A, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_f1_s1_fin_topo, axiom,  ~ (v1_xboole_0(f1_s1_fin_topo)) ).
fof(dt_f2_s1_fin_topo, axiom, m1_subset_1(f2_s1_fin_topo, k1_zfmisc_1(f1_s1_fin_topo))).
fof(dt_f3_s1_fin_topo, axiom, m1_subset_1(f3_s1_fin_topo, k1_zfmisc_1(f1_s1_fin_topo))).
fof(dt_f4_s1_fin_topo, axiom,  (! [A] : m1_subset_1(f4_s1_fin_topo(A), k1_zfmisc_1(f1_s1_fin_topo))) ).
fof(dt_k1_fin_topo, axiom,  (! [A, B] :  ( (l1_orders_2(A) & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k1_fin_topo(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k2_fin_topo, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k1_tarski(A))) =>  (v1_funct_1(k2_fin_topo(A, B)) &  (v1_funct_2(k2_fin_topo(A, B), k1_tarski(A), k9_setfam_1(k1_tarski(A))) & m1_subset_1(k2_fin_topo(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_tarski(A), k9_setfam_1(k1_tarski(A)))))) ) ) ) ).
fof(redefinition_k2_fin_topo, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k1_tarski(A))) => k2_fin_topo(A, B)=k17_funcop_1(A, B)) ) ).
fof(dt_k3_fin_topo, axiom,  (! [A] : m1_subset_1(k3_fin_topo(A), k1_zfmisc_1(k2_zfmisc_1(k1_tarski(A), k1_tarski(A))))) ).
fof(dt_k4_fin_topo, axiom,  (v1_orders_2(k4_fin_topo) & l1_orders_2(k4_fin_topo)) ).
fof(dt_k5_fin_topo, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k5_fin_topo(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k6_fin_topo, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k6_fin_topo(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k7_fin_topo, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k7_fin_topo(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k8_fin_topo, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k8_fin_topo(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k9_fin_topo, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k9_fin_topo(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k10_fin_topo, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k10_fin_topo(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k11_fin_topo, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k11_fin_topo(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k12_fin_topo, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k12_fin_topo(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k13_fin_topo, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k13_fin_topo(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k14_fin_topo, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k14_fin_topo(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(t4_fin_topo, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  => m1_setfam_1(a_1_0_fin_topo(A), u1_struct_0(A))) ) ).
fof(d5_fin_topo, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k5_fin_topo(A, B)=a_2_0_fin_topo(A, B)) ) ) ) ).
fof(d8_fin_topo, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k8_fin_topo(A, B)=a_2_1_fin_topo(A, B)) ) ) ) ).
fof(d9_fin_topo, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k9_fin_topo(A, B)=a_2_2_fin_topo(A, B)) ) ) ) ).
fof(d10_fin_topo, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k10_fin_topo(A, B)=a_2_3_fin_topo(A, B)) ) ) ) ).
fof(d12_fin_topo, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k12_fin_topo(A, B)=a_2_4_fin_topo(A, B)) ) ) ) ).
fof(d17_fin_topo, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k13_fin_topo(A, B)=k1_setfam_1(a_2_5_fin_topo(A, B))) ) ) ) ).
fof(d18_fin_topo, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k14_fin_topo(A, B)=k3_tarski(a_2_6_fin_topo(A, B))) ) ) ) ).
fof(fraenkel_a_1_0_fin_topo, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) & l1_orders_2(B)) )  =>  (r2_hidden(A, a_1_0_fin_topo(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(B)) & A=k1_fin_topo(B, C)) ) ) ) ) ).
fof(fraenkel_a_2_0_fin_topo, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_0_fin_topo(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D &  ( ~ (r1_xboole_0(k1_fin_topo(B, D), C))  &  ~ (r1_xboole_0(k1_fin_topo(B, D), k3_subset_1(u1_struct_0(B), C))) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_fin_topo, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_1_fin_topo(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & r1_tarski(k1_fin_topo(B, D), C)) ) ) ) ) ) ).
fof(fraenkel_a_2_2_fin_topo, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_2_fin_topo(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D &  ~ (r1_xboole_0(k1_fin_topo(B, D), C)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_3_fin_topo, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_3_fin_topo(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D &  (r2_tarski(D, C) & r1_xboole_0(k7_subset_1(u1_struct_0(B), k1_fin_topo(B, D), k6_domain_1(u1_struct_0(B), D)), C)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_4_fin_topo, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_4_fin_topo(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D &  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (r2_tarski(E, C) & r2_tarski(D, k1_fin_topo(B, E))) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_5_fin_topo, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_5_fin_topo(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) &  (A=D &  (r1_tarski(C, D) & v3_fin_topo(D, B)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_6_fin_topo, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_6_fin_topo(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) &  (A=D &  (r1_tarski(C, D) & v2_fin_topo(D, B)) ) ) ) ) ) ) ).
fof(fc1_finance1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) ) ) ) )  =>  ~ (v1_xboole_0(k6_finance1(A, B, C, D))) ) ) ).
fof(rc1_finance1, axiom,  (? [A] :  (m1_subset_1(A, k12_prob_1) &  ~ (v1_xboole_0(A)) ) ) ).
fof(t1_finance1, axiom,  (! [A] :  (v1_xreal_0(A) => k6_subset_1(k1_numbers, k3_rcomp_1(A, k1_xxreal_0))=k2_rcomp_1(k2_xxreal_0, A)) ) ).
fof(t2_finance1, axiom,  (! [A] :  (v1_xreal_0(A) => k6_subset_1(k1_numbers, k2_rcomp_1(k2_xxreal_0, A))=k3_rcomp_1(A, k1_xxreal_0)) ) ).
fof(d1_finance1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(k1_numbers)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k1_numbers))))) )  =>  (C=k2_finance1(A, B) <=>  (k3_funct_2(k4_ordinal1, k9_setfam_1(k1_numbers), C, k5_numbers)=k1_finance1(A, k2_xcmplx_0(B, 1)) &  (! [D] :  (v7_ordinal1(D) => k3_funct_2(k4_ordinal1, k9_setfam_1(k1_numbers), C, k1_nat_1(D, 1))=k1_finance1(A, k2_xcmplx_0(B, k7_xcmplx_0(1, k1_nat_1(D, 1))))) ) ) ) ) ) ) ) ) ) ).
fof(d2_finance1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (m1_finance1(A) <=>  (k3_funct_2(k4_ordinal1, k1_numbers, A, k5_numbers)=1 &  (! [B] :  (m1_subset_1(B, k4_ordinal1) => r1_xxreal_0(k5_numbers, k3_funct_2(k4_ordinal1, k1_numbers, A, B))) ) ) ) ) ) ).
fof(d3_finance1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  => k4_finance1(A, B, C)=k1_funct_1(k3_series_1(k3_finance1(B, C)), A)) ) ) ) ) ) ).
fof(d4_finance1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  => k5_finance1(A, B, C)=k1_funct_1(k3_series_1(k7_nat_1(k1_numbers, k3_finance1(B, C), 1)), k6_xcmplx_0(A, 1))) ) ) ) ) ) ).
fof(d5_finance1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (r1_finance1(A, B, C, D, E) <=>  (! [F] :  (r2_tarski(F, D) => r2_tarski(k8_relat_1(E, F), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_finance1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  (E=k6_finance1(A, B, C, D) =>  (! [F] :  (m1_subset_1(F, E) => k7_finance1(A, B, C, D, E, F)=F) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_finance1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, C) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (E=k8_finance1(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, A) => k3_funct_2(A, k1_numbers, E, F)=k3_funct_2(A, k1_numbers, k7_finance1(A, k1_numbers, B, k12_prob_1, C, D), F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_finance1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v1_prob_1(E, C) &  (v4_prob_1(E, C) & m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(C)))) ) )  =>  (! [F] :  (F=k6_finance1(B, C, D, E) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, F) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, F)))) )  => k9_finance1(A, B, C, D, E, F, G)=k1_funct_1(G, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_finance1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, C)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (G=k10_finance1(A, B, C, D, E, F) <=>  (! [H] :  (m1_subset_1(H, k4_ordinal1) => k3_funct_2(k4_ordinal1, k1_numbers, G, H)=k3_xcmplx_0(k3_funct_2(A, k1_numbers, k8_finance1(A, B, C, k3_funct_2(k4_ordinal1, C, E, H)), D), k3_funct_2(k4_ordinal1, k1_numbers, F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_finance1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, C) &  (v4_prob_1(D, C) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(C)))) ) )  =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, E)))) )  =>  (! [G] :  (m1_subset_1(G, C) => k11_finance1(A, B, C, D, E, F, G)=k1_funct_1(k3_series_1(k10_finance1(C, D, E, G, F, B)), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_finance1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, C) &  (v4_prob_1(D, C) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(C)))) ) )  =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, E)))) )  =>  (! [G] :  (m1_subset_1(G, C) => k12_finance1(A, B, C, D, E, F, G)=k1_funct_1(k3_series_1(k7_nat_1(k1_numbers, k10_finance1(C, D, E, G, F, B), 1)), k6_xcmplx_0(A, 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_finance1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (m2_subset_1(k3_rcomp_1(A, k1_xxreal_0), k1_zfmisc_1(k1_numbers), k12_prob_1) & m2_subset_1(k2_rcomp_1(k2_xxreal_0, A), k1_zfmisc_1(k1_numbers), k12_prob_1)) ) ) ).
fof(t4_finance1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => m2_subset_1(k3_rcomp_1(B, A), k1_zfmisc_1(k1_numbers), k12_prob_1)) ) ) ) ).
fof(t5_finance1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => m2_subset_1(k3_prob_1(k1_numbers, k2_finance1(A, B)), k1_zfmisc_1(k1_numbers), k12_prob_1)) ) ) ) ).
fof(t6_finance1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k3_prob_1(k1_numbers, k2_finance1(A, B))=k1_rcomp_1(A, B)) ) ) ) ).
fof(t7_finance1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) => m2_subset_1(k1_funct_1(k1_prob_3(k1_numbers, k2_finance1(A, B)), C), k1_zfmisc_1(k1_numbers), k12_prob_1)) ) ) ) ) ) ).
fof(t8_finance1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => m2_subset_1(k1_rcomp_1(B, A), k1_zfmisc_1(k1_numbers), k12_prob_1)) ) ) ) ).
fof(t10_finance1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (v1_xreal_0(C) => r1_finance1(A, k1_numbers, B, k12_prob_1, k7_funcop_1(A, C))) ) ) ) ) ) ).
fof(t11_finance1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  (m1_finance1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  => k4_finance1(C, A, B)=k2_xcmplx_0(k3_funct_2(k4_ordinal1, k1_numbers, A, k5_numbers), k5_finance1(C, A, B))) ) ) ) ) ) ) ).
fof(t12_finance1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k6_finance1(A, k1_numbers, B, k12_prob_1)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_finance1(A, k1_numbers, B, k12_prob_1))))) )  =>  (r1_funct_2(A, k1_numbers, A, k1_tarski(k2_xcmplx_0(1, D)), k9_finance1(k5_numbers, A, k1_numbers, B, k12_prob_1, k6_finance1(A, k1_numbers, B, k12_prob_1), F), k7_funcop_1(A, k2_xcmplx_0(1, D))) =>  (! [G] :  (m1_subset_1(G, A) => k11_finance1(C, E, A, B, k6_finance1(A, k1_numbers, B, k12_prob_1), F, G)=k2_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(1, D), k3_funct_2(k4_ordinal1, k1_numbers, E, k5_numbers)), k12_finance1(C, E, A, B, k6_finance1(A, k1_numbers, B, k12_prob_1), F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_finance1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  =>  (! [D] :  (v1_xreal_0(D) =>  ( ~ (r1_xxreal_0(D, k4_xcmplx_0(1)))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [F] :  (m1_finance1(F) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, k6_finance1(A, k1_numbers, B, k12_prob_1)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_finance1(A, k1_numbers, B, k12_prob_1))))) )  =>  (r1_funct_2(A, k1_numbers, A, k1_tarski(k2_xcmplx_0(1, D)), k9_finance1(k5_numbers, A, k1_numbers, B, k12_prob_1, k6_finance1(A, k1_numbers, B, k12_prob_1), G), k7_funcop_1(A, k2_xcmplx_0(1, D))) =>  (! [H] :  (m1_subset_1(H, A) =>  (r1_xxreal_0(k4_finance1(C, E, F), k5_numbers) => r1_xxreal_0(k11_finance1(C, E, A, B, k6_finance1(A, k1_numbers, B, k12_prob_1), G, H), k6_xcmplx_0(k12_finance1(C, E, A, B, k6_finance1(A, k1_numbers, B, k12_prob_1), G, H), k3_xcmplx_0(k2_xcmplx_0(1, D), k5_finance1(C, E, F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_finance1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (r1_finance1(A, k1_numbers, B, k12_prob_1, C) =>  (r1_mesfunc6(A, B, C, k4_prob_1(A, B)) & m1_random_1(C, A, B)) ) ) ) ) ) ) ) ).
fof(t16_finance1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  => r1_tarski(k6_finance1(A, k1_numbers, B, k12_prob_1), k3_random_2(A, B))) ) ) ) ).
fof(dt_k1_finance1, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => m1_subset_1(k1_finance1(A, B), k1_zfmisc_1(k1_numbers))) ) ).
fof(redefinition_k1_finance1, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => k1_finance1(A, B)=k2_xxreal_1(A, B)) ) ).
fof(dt_k2_finance1, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  =>  (v1_funct_1(k2_finance1(A, B)) &  (v1_funct_2(k2_finance1(A, B), k4_ordinal1, k9_setfam_1(k1_numbers)) & m1_subset_1(k2_finance1(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k1_numbers))))) ) ) ) ).
fof(dt_m1_finance1, axiom,  (! [A] :  (m1_finance1(A) =>  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(existence_m1_finance1, axiom,  (? [A] : m1_finance1(A)) ).
fof(dt_k3_finance1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (v1_funct_1(k3_finance1(A, B)) &  (v1_funct_2(k3_finance1(A, B), k4_ordinal1, k1_numbers) & m1_subset_1(k3_finance1(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(commutativity_k3_finance1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  => k3_finance1(A, B)=k3_finance1(B, A)) ) ).
fof(redefinition_k3_finance1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  => k3_finance1(A, B)=k18_valued_1(A, B)) ) ).
fof(dt_k4_finance1, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  => v1_xreal_0(k4_finance1(A, B, C))) ) ).
fof(dt_k5_finance1, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  => v1_xreal_0(k5_finance1(A, B, C))) ) ).
fof(dt_k7_finance1, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  & m1_subset_1(F, E)) ) ) )  =>  (v1_funct_1(k7_finance1(A, B, C, D, E, F)) &  (v1_funct_2(k7_finance1(A, B, C, D, E, F), A, B) & m1_subset_1(k7_finance1(A, B, C, D, E, F), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ).
fof(dt_k8_finance1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(D, C)) ) )  =>  (v1_funct_1(k8_finance1(A, B, C, D)) &  (v1_funct_2(k8_finance1(A, B, C, D), A, k1_numbers) & m1_subset_1(k8_finance1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ).
fof(dt_k9_finance1, axiom,  (! [A, B, C, D, E, F, G] :  ( (v7_ordinal1(A) &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( ( ~ (v1_xboole_0(E))  &  (v1_prob_1(E, C) &  (v4_prob_1(E, C) & m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(C)))) ) )  &  (v1_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, F) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, F)))) ) ) ) ) ) )  =>  (v1_funct_1(k9_finance1(A, B, C, D, E, F, G)) &  (v1_funct_2(k9_finance1(A, B, C, D, E, F, G), B, C) & m1_subset_1(k9_finance1(A, B, C, D, E, F, G), k1_zfmisc_1(k2_zfmisc_1(B, C)))) ) ) ) ).
fof(dt_k10_finance1, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ~ (v1_xboole_0(C))  &  (m1_subset_1(D, A) &  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, C)))) )  &  (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ) ) )  =>  (v1_funct_1(k10_finance1(A, B, C, D, E, F)) &  (v1_funct_2(k10_finance1(A, B, C, D, E, F), k4_ordinal1, k1_numbers) & m1_subset_1(k10_finance1(A, B, C, D, E, F), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k11_finance1, axiom,  (! [A, B, C, D, E, F, G] :  ( (v7_ordinal1(A) &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  ( ~ (v1_xboole_0(C))  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, C) &  (v4_prob_1(D, C) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(C)))) ) )  &  ( ~ (v1_xboole_0(E))  &  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, E)))) )  & m1_subset_1(G, C)) ) ) ) ) )  => v1_xreal_0(k11_finance1(A, B, C, D, E, F, G))) ) ).
fof(dt_k12_finance1, axiom,  (! [A, B, C, D, E, F, G] :  ( (v7_ordinal1(A) &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  ( ~ (v1_xboole_0(C))  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, C) &  (v4_prob_1(D, C) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(C)))) ) )  &  ( ~ (v1_xboole_0(E))  &  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, E)))) )  & m1_subset_1(G, C)) ) ) ) ) )  => v1_xreal_0(k12_finance1(A, B, C, D, E, F, G))) ) ).
fof(d6_finance1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  => k6_finance1(A, B, C, D)=a_4_0_finance1(A, B, C, D)) ) ) ) ) ) ).
fof(t9_finance1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (r1_finance1(A, k1_numbers, B, k12_prob_1, C) =>  ( (! [D] :  (v1_xreal_0(D) =>  (m2_subset_1(a_3_0_finance1(A, C, D), k1_zfmisc_1(A), B) & m2_subset_1(a_3_1_finance1(A, C, D), k1_zfmisc_1(A), B)) ) )  &  ( (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ( ~ (r1_xxreal_0(E, D))  => m2_subset_1(a_4_1_finance1(A, C, D, E), k1_zfmisc_1(A), B)) ) ) ) )  &  ( (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (r1_xxreal_0(D, E) => m2_subset_1(a_4_2_finance1(A, C, D, E), k1_zfmisc_1(A), B)) ) ) ) )  &  ( (! [D] :  (v1_xreal_0(D) => k10_mesfunc1(C, D)=a_3_1_finance1(A, C, D)) )  &  ( (! [D] :  (v1_xreal_0(D) => k13_mesfunc1(C, D)=a_3_0_finance1(A, C, D)) )  &  ( (! [D] :  (v1_xreal_0(D) => k10_relat_1(C, D)=a_3_2_finance1(A, C, D)) )  &  (! [D] :  (v1_xreal_0(D) => m2_subset_1(k10_relat_1(C, D), k1_zfmisc_1(A), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_finance1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  =>  (! [D] :  (v1_xreal_0(D) =>  ( ~ (r1_xxreal_0(D, k4_xcmplx_0(1)))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [F] :  (m1_finance1(F) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, k6_finance1(A, k1_numbers, B, k12_prob_1)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_finance1(A, k1_numbers, B, k12_prob_1))))) )  =>  ( (r1_funct_2(A, k1_numbers, A, k1_tarski(k2_xcmplx_0(1, D)), k9_finance1(k5_numbers, A, k1_numbers, B, k12_prob_1, k6_finance1(A, k1_numbers, B, k12_prob_1), G), k7_funcop_1(A, k2_xcmplx_0(1, D))) & r1_xxreal_0(k4_finance1(C, E, F), k5_numbers))  =>  (r1_tarski(a_5_0_finance1(A, B, C, E, G), a_7_0_finance1(A, B, C, D, E, F, G)) & r1_tarski(a_5_1_finance1(A, B, C, E, G), a_7_1_finance1(A, B, C, D, E, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_finance1, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( ~ (v1_xboole_0(E))  &  (v1_prob_1(E, C) &  (v4_prob_1(E, C) & m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(C)))) ) ) )  =>  (r2_hidden(A, a_4_0_finance1(B, C, D, E)) <=>  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, B, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  &  (A=F & r1_finance1(B, C, D, E, F)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_finance1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_0_finance1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, B) &  (A=E & r1_xxreal_0(D, k3_funct_2(B, k1_numbers, C, E))) ) ) ) ) ) ).
fof(fraenkel_a_3_1_finance1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_1_finance1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, B) &  (A=E &  ~ (r1_xxreal_0(D, k3_funct_2(B, k1_numbers, C, E))) ) ) ) ) ) ) ).
fof(fraenkel_a_4_1_finance1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  &  (v1_xreal_0(D) & v1_xreal_0(E)) ) )  =>  (r2_hidden(A, a_4_1_finance1(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, B) &  (A=F &  (r1_xxreal_0(D, k3_funct_2(B, k1_numbers, C, F)) &  ~ (r1_xxreal_0(E, k3_funct_2(B, k1_numbers, C, F))) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_2_finance1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  &  (v1_xreal_0(D) & v1_xreal_0(E)) ) )  =>  (r2_hidden(A, a_4_2_finance1(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, B) &  (A=F &  (r1_xxreal_0(D, k3_funct_2(B, k1_numbers, C, F)) & r1_xxreal_0(k3_funct_2(B, k1_numbers, C, F), E)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_2_finance1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_2_finance1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, B) &  (A=E & k3_funct_2(B, k1_numbers, C, E)=D) ) ) ) ) ) ).
fof(fraenkel_a_5_0_finance1, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  (v7_ordinal1(D) &  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k6_finance1(B, k1_numbers, C, k12_prob_1)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_finance1(B, k1_numbers, C, k12_prob_1))))) ) ) ) ) )  =>  (r2_hidden(A, a_5_0_finance1(B, C, D, E, F)) <=>  (? [G] :  (m1_subset_1(G, B) &  (A=G & r1_xxreal_0(k5_numbers, k11_finance1(D, E, B, C, k6_finance1(B, k1_numbers, C, k12_prob_1), F, G))) ) ) ) ) ) ).
fof(fraenkel_a_7_0_finance1, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  (v7_ordinal1(D) &  (v1_xreal_0(E) &  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  (m1_finance1(G) &  (v1_funct_1(H) &  (v1_funct_2(H, k4_ordinal1, k6_finance1(B, k1_numbers, C, k12_prob_1)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_finance1(B, k1_numbers, C, k12_prob_1))))) ) ) ) ) ) ) )  =>  (r2_hidden(A, a_7_0_finance1(B, C, D, E, F, G, H)) <=>  (? [I] :  (m1_subset_1(I, B) &  (A=I & r1_xxreal_0(k3_xcmplx_0(k2_xcmplx_0(1, E), k5_finance1(D, F, G)), k12_finance1(D, F, B, C, k6_finance1(B, k1_numbers, C, k12_prob_1), H, I))) ) ) ) ) ) ).
fof(fraenkel_a_5_1_finance1, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  (v7_ordinal1(D) &  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k6_finance1(B, k1_numbers, C, k12_prob_1)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_finance1(B, k1_numbers, C, k12_prob_1))))) ) ) ) ) )  =>  (r2_hidden(A, a_5_1_finance1(B, C, D, E, F)) <=>  (? [G] :  (m1_subset_1(G, B) &  (A=G &  ~ (r1_xxreal_0(k11_finance1(D, E, B, C, k6_finance1(B, k1_numbers, C, k12_prob_1), F, G), k5_numbers)) ) ) ) ) ) ) ).
fof(fraenkel_a_7_1_finance1, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  (v7_ordinal1(D) &  (v1_xreal_0(E) &  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  (m1_finance1(G) &  (v1_funct_1(H) &  (v1_funct_2(H, k4_ordinal1, k6_finance1(B, k1_numbers, C, k12_prob_1)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_finance1(B, k1_numbers, C, k12_prob_1))))) ) ) ) ) ) ) )  =>  (r2_hidden(A, a_7_1_finance1(B, C, D, E, F, G, H)) <=>  (? [I] :  (m1_subset_1(I, B) &  (A=I &  ~ (r1_xxreal_0(k12_finance1(D, F, B, C, k6_finance1(B, k1_numbers, C, k12_prob_1), H, I), k3_xcmplx_0(k2_xcmplx_0(1, E), k5_finance1(D, F, G)))) ) ) ) ) ) ) ).
fof(fc1_finance2, axiom,  ~ (v1_xboole_0(k4_xboole_0(k1_numbers, k3_numbers))) ).
fof(fc2_finance2, axiom,  ~ (v1_xboole_0(k4_xboole_0(k1_numbers, k4_numbers))) ).
fof(fc3_finance2, axiom,  ~ (v1_xboole_0(k4_xboole_0(k1_numbers, k4_ordinal1))) ).
fof(fc4_finance2, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k1_numbers))  =>  (v5_relat_1(k2_finance2(A, B), k12_prob_1) &  (v1_funct_1(k2_finance2(A, B)) & v1_funct_2(k2_finance2(A, B), k4_ordinal1, k9_setfam_1(k1_numbers))) ) ) ) ).
fof(fc5_finance2, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k1_numbers))  =>  (v5_relat_1(k4_finance2(A, B), k12_prob_1) &  (v1_funct_1(k4_finance2(A, B)) & v1_funct_2(k4_finance2(A, B), k4_ordinal1, k9_setfam_1(k1_numbers))) ) ) ) ).
fof(fc6_finance2, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k1_numbers))  =>  (v1_funct_1(k4_finance2(A, B)) &  (v1_funct_2(k4_finance2(A, B), k4_ordinal1, k9_setfam_1(k1_numbers)) & v3_prob_1(k4_finance2(A, B))) ) ) ) ).
fof(fc7_finance2, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (v5_relat_1(k6_finance2(A), k12_prob_1) &  (v1_funct_1(k6_finance2(A)) & v1_funct_2(k6_finance2(A), k4_ordinal1, k9_setfam_1(k1_numbers))) ) ) ) ).
fof(fc8_finance2, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (v1_funct_1(k6_finance2(A)) &  (v1_funct_2(k6_finance2(A), k4_ordinal1, k9_setfam_1(k1_numbers)) & v3_prob_1(k6_finance2(A))) ) ) ) ).
fof(t1_finance2, axiom,  (r2_tarski(1, k1_numbers) & r2_hidden(k4_xcmplx_0(1), k1_numbers)) ).
fof(t2_finance2, axiom, r2_hidden(k4_power, k4_xboole_0(k1_numbers, k3_numbers))).
fof(t3_finance2, axiom, r2_hidden(k4_power, k4_xboole_0(k1_numbers, k4_numbers))).
fof(t4_finance2, axiom, r2_hidden(k4_power, k4_xboole_0(k1_numbers, k4_ordinal1))).
fof(t5_finance2, axiom,  (! [A] :  (v1_xreal_0(A) => r2_tarski(k1_seq_4(A), k12_prob_1)) ) ).
fof(t6_finance2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => m1_prob_1(k4_rcomp_1(A, B), k1_numbers, k12_prob_1)) ) ) ) ).
fof(t7_finance2, axiom,  (! [A] :  (v1_xxreal_0(A) => m1_subset_1(k1_tarski(A), k1_zfmisc_1(k6_numbers))) ) ).
fof(t8_finance2, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (A=k4_xboole_0(k1_numbers, k1_seq_4(B)) => m1_prob_1(A, k1_numbers, k12_prob_1)) ) ) ) ).
fof(t9_finance2, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k9_setfam_1(k4_ordinal1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k4_ordinal1))))) )  &  (! [B] :  (v7_ordinal1(B) => k8_nat_1(k9_setfam_1(k4_ordinal1), A, B)=k1_seq_4(B)) ) ) ) ).
fof(t10_finance2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k9_setfam_1(k4_ordinal1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k4_ordinal1))))) )  =>  ( (! [B] :  (v7_ordinal1(B) => k8_nat_1(k9_setfam_1(k4_ordinal1), A, B)=k1_seq_4(B)) )  =>  (! [B] :  (v7_ordinal1(B) => r2_tarski(k8_nat_1(k9_setfam_1(k4_ordinal1), k2_prob_3(k4_ordinal1, A), B), k12_prob_1)) ) ) ) ) ).
fof(t11_finance2, axiom, m1_prob_1(k1_numbers, k1_numbers, k12_prob_1)).
fof(t12_finance2, axiom, m1_prob_1(k4_ordinal1, k1_numbers, k12_prob_1)).
fof(t13_finance2, axiom, m1_prob_1(k4_xboole_0(k1_numbers, k4_ordinal1), k1_numbers, k12_prob_1)).
fof(t14_finance2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k9_setfam_1(k1_numbers)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k1_numbers))))) )  =>  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k1_numbers))))) )  &  (! [C] :  (v7_ordinal1(C) => k8_nat_1(k9_setfam_1(k1_numbers), B, C)=k8_nat_1(k9_setfam_1(k1_numbers), k2_prob_3(k1_numbers, A), C)) ) ) ) ) ) ).
fof(t15_finance2, axiom, m1_prob_1(k4_numbers, k1_numbers, k12_prob_1)).
fof(d2_finance2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(k1_numbers)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k1_numbers))))) )  =>  (C=k2_finance2(A, B) <=>  (! [D] :  (v7_ordinal1(D) => k8_nat_1(k9_setfam_1(k1_numbers), C, D)=k1_seq_4(k3_xcmplx_0(k3_xcmplx_0(B, A), k5_xcmplx_0(k1_nat_1(D, 1))))) ) ) ) ) ) ) ) ) ).
fof(t16_finance2, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  ( ~ (A=k5_numbers)  &  ~ (v2_funct_1(k3_finance2(B, A))) ) ) ) ) ) ) ) ).
fof(d3_finance2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(k1_numbers)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k1_numbers))))) )  =>  (C=k4_finance2(A, B) <=>  (k3_funct_2(k4_ordinal1, k9_setfam_1(k1_numbers), C, k5_numbers)=k3_funct_2(k4_ordinal1, k9_setfam_1(k1_numbers), k3_finance2(A, B), k5_numbers) &  (! [D] :  (v7_ordinal1(D) => k3_funct_2(k4_ordinal1, k9_setfam_1(k1_numbers), C, k1_nat_1(D, 1))=k1_finsub_1(k9_setfam_1(k1_numbers), k8_nat_1(k9_setfam_1(k1_numbers), C, D), k3_funct_2(k4_ordinal1, k9_setfam_1(k1_numbers), k3_finance2(A, B), k1_nat_1(D, 1)))) ) ) ) ) ) ) ) ) ) ).
fof(d4_finance2, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k1_numbers))))) )  =>  (B=k6_finance2(A) <=>  (k3_funct_2(k4_ordinal1, k9_setfam_1(k1_numbers), B, k5_numbers)=k1_prob_1(k1_numbers, k5_finance2(k5_numbers, A)) &  (! [C] :  (v7_ordinal1(C) => k3_funct_2(k4_ordinal1, k9_setfam_1(k1_numbers), B, k1_nat_1(C, 1))=k1_finsub_1(k1_zfmisc_1(k1_numbers), k8_nat_1(k9_setfam_1(k1_numbers), B, C), k1_prob_1(k1_numbers, k5_finance2(k1_nat_1(C, 1), A)))) ) ) ) ) ) ) ) ).
fof(t17_finance2, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  ( (A=1 & B=k4_xcmplx_0(1))  => k1_finsub_1(k1_zfmisc_1(k1_numbers), k1_prob_1(k1_numbers, k7_finance2(A)), k1_prob_1(k1_numbers, k7_finance2(B)))=k3_numbers) ) ) ) ) ).
fof(t18_finance2, axiom, m1_prob_1(k3_numbers, k1_numbers, k12_prob_1)).
fof(t19_finance2, axiom, m1_prob_1(k4_xboole_0(k1_numbers, k4_numbers), k1_numbers, k12_prob_1)).
fof(t20_finance2, axiom, m1_prob_1(k4_xboole_0(k1_numbers, k3_numbers), k1_numbers, k12_prob_1)).
fof(t21_finance2, axiom, m1_prob_1(k1_borsuk_5, k1_numbers, k12_prob_1)).
fof(t22_finance2, axiom, k12_prob_1=k9_prob_1(k1_numbers, k1_finance2)).
fof(t23_finance2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v1_random_3(C, A, k1_numbers, B, k12_prob_1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) &  (v1_random_3(D, A, k1_numbers, B, k12_prob_1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_funct_1(k3_valued_1(A, k1_numbers, k1_numbers, C, D)) &  (v1_funct_2(k3_valued_1(A, k1_numbers, k1_numbers, C, D), A, k1_numbers) &  (v1_random_3(k3_valued_1(A, k1_numbers, k1_numbers, C, D), A, k1_numbers, B, k12_prob_1) & m1_subset_1(k3_valued_1(A, k1_numbers, k1_numbers, C, D), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_finance2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v1_random_3(C, A, k1_numbers, B, k12_prob_1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) &  (v1_random_3(D, A, k1_numbers, B, k12_prob_1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_funct_1(k47_valued_1(A, k1_numbers, k1_numbers, C, D)) &  (v1_funct_2(k47_valued_1(A, k1_numbers, k1_numbers, C, D), A, k1_numbers) &  (v1_random_3(k47_valued_1(A, k1_numbers, k1_numbers, C, D), A, k1_numbers, B, k12_prob_1) & m1_subset_1(k47_valued_1(A, k1_numbers, k1_numbers, C, D), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_finance2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v1_random_3(C, A, k1_numbers, B, k12_prob_1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) &  (v1_random_3(D, A, k1_numbers, B, k12_prob_1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_funct_1(k20_valued_1(A, k1_numbers, k1_numbers, C, D)) &  (v1_funct_2(k20_valued_1(A, k1_numbers, k1_numbers, C, D), A, k1_numbers) &  (v1_random_3(k20_valued_1(A, k1_numbers, k1_numbers, C, D), A, k1_numbers, B, k12_prob_1) & m1_subset_1(k20_valued_1(A, k1_numbers, k1_numbers, C, D), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_finance2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) &  (v1_random_3(D, A, k1_numbers, B, k12_prob_1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_funct_1(k26_valued_1(A, k1_numbers, D, C)) &  (v1_funct_2(k26_valued_1(A, k1_numbers, D, C), A, k1_numbers) &  (v1_random_3(k26_valued_1(A, k1_numbers, D, C), A, k1_numbers, B, k12_prob_1) & m1_subset_1(k26_valued_1(A, k1_numbers, D, C), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_finance2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  (m1_subset_1(E, k6_finance1(A, B, C, D)) =>  (v1_funct_1(k7_finance1(A, B, C, D, k6_finance1(A, B, C, D), E)) &  (v1_funct_2(k7_finance1(A, B, C, D, k6_finance1(A, B, C, D), E), A, B) &  (v1_random_3(k7_finance1(A, B, C, D, k6_finance1(A, B, C, D), E), A, B, C, D) & m1_subset_1(k7_finance1(A, B, C, D, k6_finance1(A, B, C, D), E), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_finance2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, k6_finance1(A, k1_numbers, B, k12_prob_1)) =>  (v1_funct_1(k8_finance1(A, B, k6_finance1(A, k1_numbers, B, k12_prob_1), C)) &  (v1_funct_2(k8_finance1(A, B, k6_finance1(A, k1_numbers, B, k12_prob_1), C), A, k1_numbers) &  (v1_random_3(k8_finance1(A, B, k6_finance1(A, k1_numbers, B, k12_prob_1), C), A, k1_numbers, B, k12_prob_1) & m1_subset_1(k8_finance1(A, B, k6_finance1(A, k1_numbers, B, k12_prob_1), C), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ) ) ) ) ).
fof(t29_finance2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v1_prob_1(E, C) &  (v4_prob_1(E, C) & m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(C)))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k6_finance1(B, C, D, E)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_finance1(B, C, D, E))))) )  =>  (v1_funct_1(k9_finance1(A, B, C, D, E, k6_finance1(B, C, D, E), F)) &  (v1_funct_2(k9_finance1(A, B, C, D, E, k6_finance1(B, C, D, E), F), B, C) &  (v1_random_3(k9_finance1(A, B, C, D, E, k6_finance1(B, C, D, E), F), B, C, D, E) & m1_subset_1(k9_finance1(A, B, C, D, E, k6_finance1(B, C, D, E), F), k1_zfmisc_1(k2_zfmisc_1(B, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_finance2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, C)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (G=k8_finance2(A, B, C, D, E, F) <=>  (! [H] :  (m1_subset_1(H, A) => k3_funct_2(A, k1_numbers, G, H)=k4_real_1(k3_funct_2(A, k1_numbers, k8_finance1(A, B, C, k8_nat_1(C, D, F)), H), k8_nat_1(k1_numbers, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_finance2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k6_finance1(A, k1_numbers, B, k12_prob_1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_finance1(A, k1_numbers, B, k12_prob_1))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [E] :  (v7_ordinal1(E) =>  (v1_funct_1(k8_finance2(A, B, k6_finance1(A, k1_numbers, B, k12_prob_1), C, D, E)) &  (v1_funct_2(k8_finance2(A, B, k6_finance1(A, k1_numbers, B, k12_prob_1), C, D, E), A, k1_numbers) &  (v1_random_3(k8_finance2(A, B, k6_finance1(A, k1_numbers, B, k12_prob_1), C, D, E), A, k1_numbers, B, k12_prob_1) & m1_subset_1(k8_finance2(A, B, k6_finance1(A, k1_numbers, B, k12_prob_1), C, D, E), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_finance2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, D)))) )  =>  (! [F] :  (m1_subset_1(F, B) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (G=k9_finance2(A, B, C, D, E, F) <=>  (! [H] :  (v7_ordinal1(H) => k8_nat_1(k1_numbers, G, H)=k3_funct_2(B, k1_numbers, k8_finance2(B, C, D, E, A, H), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_finance2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, C) &  (v4_prob_1(D, C) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(C)))) ) )  =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, E)))) )  =>  (! [G] :  (m1_subset_1(G, C) => k10_finance2(A, B, C, D, E, F, G)=k8_nat_1(k1_numbers, k3_series_1(k9_finance2(B, C, D, E, F, G)), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_finance2, axiom, m1_subset_1(k1_finance2, k1_zfmisc_1(k1_zfmisc_1(k1_numbers)))).
fof(dt_k2_finance2, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k1_numbers))  =>  (v1_funct_1(k2_finance2(A, B)) &  (v1_funct_2(k2_finance2(A, B), k4_ordinal1, k9_setfam_1(k1_numbers)) & m1_subset_1(k2_finance2(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k1_numbers))))) ) ) ) ).
fof(dt_k3_finance2, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k1_numbers))  =>  (v5_relat_1(k3_finance2(A, B), k12_prob_1) &  (v1_funct_1(k3_finance2(A, B)) &  (v1_funct_2(k3_finance2(A, B), k4_ordinal1, k9_setfam_1(k1_numbers)) & m1_subset_1(k3_finance2(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k1_numbers))))) ) ) ) ) ).
fof(redefinition_k3_finance2, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k1_numbers))  => k3_finance2(A, B)=k2_finance2(A, B)) ) ).
fof(dt_k4_finance2, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k1_numbers))  =>  (v1_funct_1(k4_finance2(A, B)) &  (v1_funct_2(k4_finance2(A, B), k4_ordinal1, k9_setfam_1(k1_numbers)) & m1_subset_1(k4_finance2(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k1_numbers))))) ) ) ) ).
fof(dt_k5_finance2, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k1_numbers))  =>  (v5_relat_1(k5_finance2(A, B), k12_prob_1) &  (v1_funct_1(k5_finance2(A, B)) &  (v1_funct_2(k5_finance2(A, B), k4_ordinal1, k9_setfam_1(k1_numbers)) & m1_subset_1(k5_finance2(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k1_numbers))))) ) ) ) ) ).
fof(redefinition_k5_finance2, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k1_numbers))  => k5_finance2(A, B)=k4_finance2(A, B)) ) ).
fof(dt_k6_finance2, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (v1_funct_1(k6_finance2(A)) &  (v1_funct_2(k6_finance2(A), k4_ordinal1, k9_setfam_1(k1_numbers)) & m1_subset_1(k6_finance2(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k1_numbers))))) ) ) ) ).
fof(dt_k7_finance2, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (v5_relat_1(k7_finance2(A), k12_prob_1) &  (v1_funct_1(k7_finance2(A)) &  (v1_funct_2(k7_finance2(A), k4_ordinal1, k9_setfam_1(k1_numbers)) & m1_subset_1(k7_finance2(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k1_numbers))))) ) ) ) ) ).
fof(redefinition_k7_finance2, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) => k7_finance2(A)=k6_finance2(A)) ) ).
fof(dt_k8_finance2, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ~ (v1_xboole_0(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, C)))) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  & v7_ordinal1(F)) ) ) ) )  =>  (v1_funct_1(k8_finance2(A, B, C, D, E, F)) &  (v1_funct_2(k8_finance2(A, B, C, D, E, F), A, k1_numbers) & m1_subset_1(k8_finance2(A, B, C, D, E, F), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ).
fof(dt_k9_finance2, axiom,  (! [A, B, C, D, E, F] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( ~ (v1_xboole_0(D))  &  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, D)))) )  & m1_subset_1(F, B)) ) ) ) )  =>  (v1_funct_1(k9_finance2(A, B, C, D, E, F)) &  (v1_funct_2(k9_finance2(A, B, C, D, E, F), k4_ordinal1, k1_numbers) & m1_subset_1(k9_finance2(A, B, C, D, E, F), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k10_finance2, axiom,  (! [A, B, C, D, E, F, G] :  ( (v7_ordinal1(A) &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  ( ~ (v1_xboole_0(C))  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, C) &  (v4_prob_1(D, C) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(C)))) ) )  &  ( ~ (v1_xboole_0(E))  &  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, E)))) )  & m1_subset_1(G, C)) ) ) ) ) )  => v1_xreal_0(k10_finance2(A, B, C, D, E, F, G))) ) ).
fof(redefinition_k10_finance2, axiom,  (! [A, B, C, D, E, F, G] :  ( (v7_ordinal1(A) &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  ( ~ (v1_xboole_0(C))  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, C) &  (v4_prob_1(D, C) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(C)))) ) )  &  ( ~ (v1_xboole_0(E))  &  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, E)))) )  & m1_subset_1(G, C)) ) ) ) ) )  => k10_finance2(A, B, C, D, E, F, G)=k11_finance1(A, B, C, D, E, F, G)) ) ).
fof(d1_finance2, axiom, k1_finance2=a_0_0_finance2).
fof(fraenkel_a_0_0_finance2, axiom,  (! [A] :  (r2_hidden(A, a_0_0_finance2) <=>  (? [B] :  (m1_subset_1(B, k1_numbers) & A=k2_limfunc1(B)) ) ) ) ).
fof(fc1_finance3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k4_ordinal1)))  =>  ~ (v1_xboole_0(k10_subset_1(A, k9_setfam_1(k1_numbers)))) ) ) ).
fof(t1_finance3, axiom,  (! [A] :  (! [B] :  ( ~ (A=B)  => r2_xboole_0(k1_tarski(A), k2_tarski(A, B))) ) ) ).
fof(t5_finance3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, C) &  (v4_prob_1(D, C) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(C)))) ) )  =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, E)))) )  =>  (! [G] :  (m1_subset_1(G, C) => m1_prob_1(k1_seq_4(k10_finance2(A, B, C, D, E, F, G)), k1_numbers, k12_prob_1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_finance3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, C)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (G=k2_finance3(A, B, C, D, E, F) <=>  (! [H] :  (m1_subset_1(H, A) => k3_funct_2(A, k1_numbers, G, H)=k1_finance3(F, E, A, B, C, D, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_finance3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k6_finance1(A, k1_numbers, B, k12_prob_1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_finance1(A, k1_numbers, B, k12_prob_1))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [E] :  (v7_ordinal1(E) =>  (v1_funct_1(k2_finance3(A, B, k6_finance1(A, k1_numbers, B, k12_prob_1), C, D, E)) &  (v1_funct_2(k2_finance3(A, B, k6_finance1(A, k1_numbers, B, k12_prob_1), C, D, E), A, k1_numbers) &  (v1_random_3(k2_finance3(A, B, k6_finance1(A, k1_numbers, B, k12_prob_1), C, D, E), A, k1_numbers, B, k12_prob_1) & m1_subset_1(k2_finance3(A, B, k6_finance1(A, k1_numbers, B, k12_prob_1), C, D, E), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_finance3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, C) &  (v4_prob_1(D, C) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(C)))) ) )  =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, E)))) )  =>  (! [G] :  (m1_subset_1(G, C) => k3_finance3(A, B, C, D, E, F, G)=k1_funct_1(k3_series_1(k7_nat_1(k1_numbers, k9_finance2(B, C, D, E, F, G), 1)), k6_xcmplx_0(A, 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_finance3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, C)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (G=k5_finance3(A, B, C, D, E, F) <=>  (! [H] :  (m1_subset_1(H, A) => k3_funct_2(A, k1_numbers, G, H)=k4_finance3(k1_nat_1(F, 1), E, A, B, C, D, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_finance3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k6_finance1(A, k1_numbers, B, k12_prob_1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_finance1(A, k1_numbers, B, k12_prob_1))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [E] :  (v7_ordinal1(E) =>  (v1_funct_1(k5_finance3(A, B, k6_finance1(A, k1_numbers, B, k12_prob_1), C, D, E)) &  (v1_funct_2(k5_finance3(A, B, k6_finance1(A, k1_numbers, B, k12_prob_1), C, D, E), A, k1_numbers) &  (v1_random_3(k5_finance3(A, B, k6_finance1(A, k1_numbers, B, k12_prob_1), C, D, E), A, k1_numbers, B, k12_prob_1) & m1_subset_1(k5_finance3(A, B, k6_finance1(A, k1_numbers, B, k12_prob_1), C, D, E), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_finance3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, C) &  (v4_prob_1(D, C) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(C)))) ) )  =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, E)))) )  =>  (! [G] :  (m1_subset_1(G, C) =>  (k4_finance3(k1_nat_1(A, 1), B, C, D, E, F, G)=k3_funct_2(C, k1_numbers, k5_finance3(C, D, E, F, B, A), G) & m1_prob_1(k1_seq_4(k4_finance3(k1_nat_1(A, 1), B, C, D, E, F, G)), k1_numbers, k12_prob_1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_finance3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, C)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [F] :  (v7_ordinal1(F) => r2_relset_1(A, k1_numbers, k2_finance3(A, B, C, D, E, k1_nat_1(F, 1)), k3_valued_1(A, k1_numbers, k1_numbers, k5_finance3(A, B, C, D, E, F), k8_finance2(A, B, C, D, E, k5_numbers)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_finance3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  (m1_subset_1(E, B) => r1_finance1(A, B, C, D, k8_funcop_1(B, A, E))) ) ) ) ) ) ) ) ) ) ).
fof(t11_finance3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v1_random_3(C, A, k1_numbers, B, k12_prob_1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  (v1_xreal_0(D) =>  (v1_funct_1(k47_valued_1(A, k1_numbers, k1_tarski(D), C, k7_funcop_1(A, D))) &  (v1_funct_2(k47_valued_1(A, k1_numbers, k1_tarski(D), C, k7_funcop_1(A, D)), A, k1_numbers) &  (v1_random_3(k47_valued_1(A, k1_numbers, k1_tarski(D), C, k7_funcop_1(A, D)), A, k1_numbers, B, k12_prob_1) & m1_subset_1(k47_valued_1(A, k1_numbers, k1_tarski(D), C, k7_funcop_1(A, D)), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_finance3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  ( (r1_xxreal_0(k5_numbers, k3_funct_2(A, k1_numbers, B, C)) => k6_finance3(A, B, C)=k3_funct_2(A, k1_numbers, B, C))  &  ( ~ (r1_xxreal_0(k5_numbers, k3_funct_2(A, k1_numbers, B, C)))  => k6_finance3(A, B, C)=k5_numbers) ) ) ) ) ) ) ) ).
fof(d5_finance3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v1_random_3(C, A, k1_numbers, B, k12_prob_1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (E=k7_finance3(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, A) =>  ( (r1_xxreal_0(k5_numbers, k3_funct_2(A, k1_numbers, k47_valued_1(A, k1_numbers, k1_tarski(D), C, k7_funcop_1(A, D)), F)) => k3_funct_2(A, k1_numbers, E, F)=k3_funct_2(A, k1_numbers, k47_valued_1(A, k1_numbers, k1_tarski(D), C, k7_funcop_1(A, D)), F))  &  ( ~ (r1_xxreal_0(k5_numbers, k3_funct_2(A, k1_numbers, k47_valued_1(A, k1_numbers, k1_tarski(D), C, k7_funcop_1(A, D)), F)))  => k3_funct_2(A, k1_numbers, E, F)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_finance3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k9_setfam_1(k2_enumset1(1, 2, 3, 4))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k2_enumset1(1, 2, 3, 4)))))) )  =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( (B=1 | B=3)  &  ( (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (k8_nat_1(k9_setfam_1(k2_enumset1(1, 2, 3, 4)), A, C)=k1_xboole_0)  &  ( ~ (k8_nat_1(k9_setfam_1(k2_enumset1(1, 2, 3, 4)), A, C)=k2_tarski(1, 2))  &  ( ~ (k8_nat_1(k9_setfam_1(k2_enumset1(1, 2, 3, 4)), A, C)=k2_tarski(3, 4))  &  ~ (k8_nat_1(k9_setfam_1(k2_enumset1(1, 2, 3, 4)), A, C)=k2_enumset1(1, 2, 3, 4)) ) ) ) ) ) )  & k1_seq_4(B)=k3_prob_1(k2_enumset1(1, 2, 3, 4), A)) ) ) ) ) ) ) ).
fof(t13_finance3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k9_setfam_1(k2_enumset1(1, 2, 3, 4))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k2_enumset1(1, 2, 3, 4)))))) )  =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( (B=2 | B=4)  &  ( (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (k8_nat_1(k9_setfam_1(k2_enumset1(1, 2, 3, 4)), A, C)=k1_xboole_0)  &  ( ~ (k8_nat_1(k9_setfam_1(k2_enumset1(1, 2, 3, 4)), A, C)=k2_tarski(1, 2))  &  ( ~ (k8_nat_1(k9_setfam_1(k2_enumset1(1, 2, 3, 4)), A, C)=k2_tarski(3, 4))  &  ~ (k8_nat_1(k9_setfam_1(k2_enumset1(1, 2, 3, 4)), A, C)=k2_enumset1(1, 2, 3, 4)) ) ) ) ) ) )  & k1_seq_4(B)=k3_prob_1(k2_enumset1(1, 2, 3, 4), A)) ) ) ) ) ) ) ).
fof(t14_finance3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (A=k2_tarski(k1_xboole_0, k2_enumset1(1, 2, 3, 4)) &  (r2_tarski(B, A) & r2_tarski(C, A)) )  => r2_tarski(k3_xboole_0(B, C), A)) ) ) ) ).
fof(t15_finance3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k9_setfam_1(k2_enumset1(1, 2, 3, 4))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k2_enumset1(1, 2, 3, 4)))))) )  =>  ~ ( ( (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ (k5_prob_1(k2_enumset1(1, 2, 3, 4), k9_setfam_1(k2_enumset1(1, 2, 3, 4)), k8_nat_1(k9_setfam_1(k2_enumset1(1, 2, 3, 4)), A, B), k8_nat_1(k9_setfam_1(k2_enumset1(1, 2, 3, 4)), A, C))=k1_xboole_0) ) ) ) )  &  (r1_tarski(k2_relset_1(k9_setfam_1(k2_enumset1(1, 2, 3, 4)), A), k2_enumset1(k1_xboole_0, k2_tarski(1, 2), k2_tarski(3, 4), k2_enumset1(1, 2, 3, 4))) &  ( ~ (k3_prob_1(k2_enumset1(1, 2, 3, 4), A)=k1_xboole_0)  &  ( ~ (k3_prob_1(k2_enumset1(1, 2, 3, 4), A)=k2_tarski(1, 2))  &  ( ~ (k3_prob_1(k2_enumset1(1, 2, 3, 4), A)=k2_tarski(3, 4))  &  ~ (k3_prob_1(k2_enumset1(1, 2, 3, 4), A)=k2_enumset1(1, 2, 3, 4)) ) ) ) ) ) ) ) ) ).
fof(t16_finance3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k9_setfam_1(k2_enumset1(1, 2, 3, 4))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k2_enumset1(1, 2, 3, 4)))))) )  =>  (! [B] :  ( (B=k2_enumset1(k1_xboole_0, k2_tarski(1, 2), k2_tarski(3, 4), k2_enumset1(1, 2, 3, 4)) & k3_prob_1(k2_enumset1(1, 2, 3, 4), A)=k2_enumset1(1, 2, 3, 4))  => r2_tarski(k3_prob_1(k2_enumset1(1, 2, 3, 4), A), B)) ) ) ) ).
fof(t17_finance3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k9_setfam_1(k2_enumset1(1, 2, 3, 4))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k2_enumset1(1, 2, 3, 4)))))) )  =>  (! [B] :  ( (B=k2_enumset1(k1_xboole_0, k2_tarski(1, 2), k2_tarski(3, 4), k2_enumset1(1, 2, 3, 4)) & k3_prob_1(k2_enumset1(1, 2, 3, 4), A)=k2_tarski(3, 4))  => r2_tarski(k3_prob_1(k2_enumset1(1, 2, 3, 4), A), B)) ) ) ) ).
fof(t18_finance3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k9_setfam_1(k2_enumset1(1, 2, 3, 4))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k2_enumset1(1, 2, 3, 4)))))) )  =>  (! [B] :  ( (B=k2_enumset1(k1_xboole_0, k2_tarski(1, 2), k2_tarski(3, 4), k2_enumset1(1, 2, 3, 4)) & k3_prob_1(k2_enumset1(1, 2, 3, 4), A)=k2_tarski(1, 2))  => r2_tarski(k3_prob_1(k2_enumset1(1, 2, 3, 4), A), B)) ) ) ) ).
fof(t19_finance3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k9_setfam_1(k2_enumset1(1, 2, 3, 4))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k2_enumset1(1, 2, 3, 4)))))) )  =>  (! [B] :  ( (B=k2_enumset1(k1_xboole_0, k2_tarski(1, 2), k2_tarski(3, 4), k2_enumset1(1, 2, 3, 4)) & k3_prob_1(k2_enumset1(1, 2, 3, 4), A)=k1_xboole_0)  => r2_tarski(k3_prob_1(k2_enumset1(1, 2, 3, 4), A), B)) ) ) ) ).
fof(t20_finance3, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(k2_enumset1(1, 2, 3, 4))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k2_enumset1(1, 2, 3, 4)))))) )  =>  ( (r1_tarski(k2_relset_1(k9_setfam_1(k2_enumset1(1, 2, 3, 4)), B), A) & A=k2_enumset1(k1_xboole_0, k2_tarski(1, 2), k2_tarski(3, 4), k2_enumset1(1, 2, 3, 4)))  => r2_tarski(k3_prob_1(k2_enumset1(1, 2, 3, 4), B), A)) ) ) ) ).
fof(t21_finance3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(B))))) )  =>  ( (B=k2_enumset1(1, 2, 3, 4) &  (r1_tarski(k2_relset_1(k9_setfam_1(B), C), A) & A=k2_tarski(k1_xboole_0, k2_enumset1(1, 2, 3, 4))) )  =>  (k3_prob_1(B, C)=k1_xboole_0 | r2_tarski(k3_prob_1(B, C), A)) ) ) ) ) ) ).
fof(t22_finance3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(B))))) )  =>  ( (B=k2_enumset1(1, 2, 3, 4) &  (r1_tarski(k2_relset_1(k9_setfam_1(B), C), A) & A=k2_tarski(k1_xboole_0, k2_enumset1(1, 2, 3, 4))) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) => r2_tarski(k5_prob_1(B, k9_setfam_1(B), k8_nat_1(k9_setfam_1(B), C, D), k8_nat_1(k9_setfam_1(B), C, E)), A)) ) ) ) ) ) ) ) ) ).
fof(d6_finance3, axiom, k8_finance3=k2_tarski(k1_xboole_0, k2_enumset1(1, 2, 3, 4))).
fof(d7_finance3, axiom, k9_finance3=k2_enumset1(k1_xboole_0, k2_tarski(1, 2), k2_tarski(3, 4), k2_enumset1(1, 2, 3, 4))).
fof(t23_finance3, axiom,  (! [A] :  (A=k2_enumset1(1, 2, 3, 4) =>  (r1_tarski(k1_seq_4(1), A) &  (r1_tarski(k1_seq_4(2), A) &  (r1_tarski(k1_seq_4(3), A) &  (r1_tarski(k1_seq_4(4), A) &  (r1_tarski(k2_tarski(1, 2), A) &  (r1_tarski(k2_tarski(3, 4), A) &  (r1_tarski(k1_xboole_0, A) & r1_tarski(A, A)) ) ) ) ) ) ) ) ) ).
fof(t24_finance3, axiom,  (! [A] :  (A=k2_enumset1(1, 2, 3, 4) =>  (r2_tarski(A, k8_finance3) &  (r2_tarski(k1_xboole_0, k8_finance3) &  (r2_tarski(k2_tarski(1, 2), k9_finance3) &  (r2_tarski(k2_tarski(3, 4), k9_finance3) &  (r2_tarski(A, k9_finance3) &  (r2_tarski(k1_xboole_0, k9_finance3) &  (r2_tarski(A, k1_random_1(k2_enumset1(1, 2, 3, 4))) &  (r2_tarski(k1_xboole_0, k1_random_1(k2_enumset1(1, 2, 3, 4))) &  (r2_tarski(k1_seq_4(1), k1_random_1(k2_enumset1(1, 2, 3, 4))) &  (r2_tarski(k1_seq_4(2), k1_random_1(k2_enumset1(1, 2, 3, 4))) &  (r2_tarski(k1_seq_4(3), k1_random_1(k2_enumset1(1, 2, 3, 4))) & r2_tarski(k1_seq_4(4), k1_random_1(k2_enumset1(1, 2, 3, 4)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_finance3, axiom,  (r2_xboole_0(k8_finance3, k9_finance3) & r2_xboole_0(k9_finance3, k1_random_1(k2_enumset1(1, 2, 3, 4)))) ).
fof(t26_finance3, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (? [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (? [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (? [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, A) &  (v4_prob_1(D, A) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (r2_xboole_0(B, C) & r2_xboole_0(C, D)) ) ) ) ) ) ) ) ) ).
fof(t27_finance3, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (? [B] :  ( ~ (v1_xboole_0(B))  &  (? [C] :  ( ~ (v1_xboole_0(C))  &  (? [D] :  ( ~ (v1_xboole_0(D))  &  (r2_xboole_0(A, B) &  (r2_xboole_0(B, C) &  (r2_xboole_0(C, D) &  (? [E] :  ( ( ~ (v1_xboole_0(E))  &  (v1_prob_1(E, A) &  (v4_prob_1(E, A) & m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (? [F] :  ( ( ~ (v1_xboole_0(F))  &  (v1_prob_1(F, B) &  (v4_prob_1(F, B) & m1_subset_1(F, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  (? [G] :  ( ( ~ (v1_xboole_0(G))  &  (v1_prob_1(G, C) &  (v4_prob_1(G, C) & m1_subset_1(G, k1_zfmisc_1(k1_zfmisc_1(C)))) ) )  &  (? [H] :  ( ( ~ (v1_xboole_0(H))  &  (v1_prob_1(H, D) &  (v4_prob_1(H, D) & m1_subset_1(H, k1_zfmisc_1(k1_zfmisc_1(D)))) ) )  &  (r1_tarski(E, F) &  (r1_tarski(F, G) & r1_tarski(G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_finance3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v3_membered(C))  =>  (! [D] :  (m1_kolmog01(D, C, A, B) =>  (m1_finance3(D, A, B, C) <=>  (! [E] :  (m1_subset_1(E, C) =>  (! [F] :  (m1_subset_1(F, C) =>  (r1_xxreal_0(E, F) => m1_subset_1(k13_prob_1(A, C, B, D, E), k1_zfmisc_1(k13_prob_1(A, C, B, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_finance3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [D] :  (m1_kolmog01(D, A, B, C) =>  (! [E] :  (m1_subset_1(E, A) => k10_finance3(A, B, C, D, E)=k13_prob_1(B, A, C, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(d11_finance3, axiom,  (! [A] :  (m1_subset_1(A, k1_enumset1(1, 2, 3)) =>  ( (A=1 => k11_finance3(A)=k8_finance3)  &  ( ~ (A=1)  => k11_finance3(A)=k9_finance3) ) ) ) ).
fof(d12_finance3, axiom,  (! [A] :  (m1_subset_1(A, k1_enumset1(1, 2, 3)) =>  ( (r1_xxreal_0(A, 2) => k12_finance3(A)=k11_finance3(A))  &  ( ~ (r1_xxreal_0(A, 2))  => k12_finance3(A)=k1_random_1(k2_enumset1(1, 2, 3, 4))) ) ) ) ).
fof(t28_finance3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v3_membered(C))  =>  ~ ( (C=k1_enumset1(1, 2, 3) &  (B=k9_setfam_1(k2_enumset1(1, 2, 3, 4)) &  (A=k2_enumset1(1, 2, 3, 4) &  (! [D] :  (m1_finance3(D, A, B, C) =>  ~ ( (k13_prob_1(A, C, B, D, 1)=k8_finance3 &  (k13_prob_1(A, C, B, D, 2)=k9_finance3 & k13_prob_1(A, C, B, D, 3)=k1_random_1(k2_enumset1(1, 2, 3, 4))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_finance3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, k1_seq_4(1)) &  (v4_prob_1(C, k1_seq_4(1)) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k1_seq_4(1))))) ) )  =>  ~ ( (A=k2_enumset1(1, 2, 3, 4) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_seq_4(1)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_seq_4(1))))) )  =>  ~ ( ( (v1_funct_1(D) &  (v1_funct_2(D, k2_enumset1(1, 2, 3, 4), k1_seq_4(1)) &  (v1_random_3(D, k2_enumset1(1, 2, 3, 4), k1_seq_4(1), k8_finance3, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_enumset1(1, 2, 3, 4), k1_seq_4(1))))) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_enumset1(1, 2, 3, 4), k1_seq_4(1)) &  (v1_random_3(D, k2_enumset1(1, 2, 3, 4), k1_seq_4(1), k9_finance3, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_enumset1(1, 2, 3, 4), k1_seq_4(1))))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_enumset1(1, 2, 3, 4), k1_seq_4(1)) &  (v1_random_3(D, k2_enumset1(1, 2, 3, 4), k1_seq_4(1), k1_random_1(k2_enumset1(1, 2, 3, 4)), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_enumset1(1, 2, 3, 4), k1_seq_4(1))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_finance3, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (? [B] :  ( ~ (v1_xboole_0(B))  &  (? [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (? [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  (? [E] :  ( ( ~ (v1_xboole_0(E))  & v3_membered(E))  &  (? [F] :  (m1_finance3(F, A, C, E) &  (? [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, B) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (! [H] :  (m1_subset_1(H, E) =>  (v1_funct_1(G) &  (v1_funct_2(G, A, B) &  (v1_random_3(G, A, B, k10_finance3(E, A, C, F, H), D) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_finance3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & v3_membered(E))  =>  (! [F] :  (m1_kolmog01(F, E, A, C) =>  (? [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, B) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (! [H] :  (m1_subset_1(H, E) =>  (v1_funct_1(G) &  (v1_funct_2(G, A, B) &  (v1_random_3(G, A, B, k10_finance3(E, A, C, F, H), D) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_finance3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (r1_tarski(C, B) =>  (! [D] :  (m1_prob_1(D, A, C) => m1_prob_1(D, A, B)) ) ) ) ) ) ) ) ) ).
fof(d13_finance3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & v3_membered(E))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, E, k6_finance1(A, B, C, D)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(E, k6_finance1(A, B, C, D))))) )  =>  (m2_finance3(F, A, B, C, D, E) <=>  (! [G] :  (m1_subset_1(G, E) =>  (? [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, A, B) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (k3_funct_2(E, k6_finance1(A, B, C, D), F, G)=H & r1_finance1(A, B, C, D, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_finance3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & v3_membered(E))  =>  (! [F] :  (m2_finance3(F, A, B, C, D, E) =>  (! [G] :  (m1_subset_1(G, E) => k13_finance3(A, B, C, D, E, F, G)=k3_funct_2(E, k6_finance1(A, B, C, D), F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_finance3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & v3_membered(E))  =>  (! [F] :  (m2_finance3(F, A, B, C, D, E) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, E, k6_finance1(A, B, C, D)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(E, k6_finance1(A, B, C, D))))) )  =>  (m3_finance3(G, A, B, C, D, E, F) <=>  (? [H] :  (m1_finance3(H, A, C, E) &  (! [I] :  (m1_subset_1(I, E) => r1_finance1(A, B, k10_finance3(E, A, C, H, I), D, k13_finance3(A, B, C, D, E, F, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_finance3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(k4_ordinal1)))  =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  & m1_subset_1(F, k1_zfmisc_1(k4_ordinal1)))  =>  (! [G] :  (m2_finance3(G, A, B, C, D, k10_subset_1(F, k9_setfam_1(k1_numbers))) =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, F, k6_finance1(A, B, C, D)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(F, k6_finance1(A, B, C, D))))) )  =>  (m4_finance3(H, A, B, C, D, E, F, G) <=>  (? [I] :  (m1_finance3(I, A, C, k10_subset_1(E, k9_setfam_1(k1_numbers))) &  (! [J] :  (m2_subset_1(J, k1_numbers, k10_subset_1(F, k9_setfam_1(k1_numbers))) =>  (! [K] :  (m2_subset_1(K, k1_numbers, k10_subset_1(E, k9_setfam_1(k1_numbers))) =>  (k6_xcmplx_0(J, 1)=K => r1_finance1(A, B, k10_finance3(k10_subset_1(E, k9_setfam_1(k1_numbers)), A, C, I, K), D, k13_finance3(A, B, C, D, k10_subset_1(F, k9_setfam_1(k1_numbers)), G, J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_finance3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & v3_membered(E))  =>  (! [F] :  (m1_kolmog01(F, E, A, C) =>  (! [G] :  (m2_finance3(G, A, B, C, D, E) =>  (v1_finance3(G, A, B, C, D, E, F) <=>  (! [H] :  (m1_subset_1(H, E) => r1_finance1(A, B, k10_finance3(E, A, C, F, H), D, k13_finance3(A, B, C, D, E, G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_finance3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & v3_membered(E))  =>  (! [F] :  (m1_finance3(F, A, C, E) =>  (! [G] :  (m2_finance3(G, A, B, C, D, E) =>  (v1_finance3(G, A, B, C, D, E, F) => m3_finance3(G, A, B, C, D, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_finance3, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, C) =>  ( ( (D=1 | D=2)  => k14_finance3(A, B, C, D)=A)  &  ~ ( ( ~ (D=1)  &  ( ~ (D=2)  &  ~ (k14_finance3(A, B, C, D)=B) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_finance3, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, C) =>  ( (D=3 => k15_finance3(A, B, C, D)=A)  &  ( ~ (D=3)  => k15_finance3(A, B, C, D)=B) ) ) ) ) ) ) ) ) ) ).
fof(d20_finance3, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_subset_1(E, D) =>  ( (E=2 => k16_finance3(A, B, C, D, E)=A)  &  ( ~ (E=2)  => k16_finance3(A, B, C, D, E)=k15_finance3(B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d21_finance3, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) =>  (! [D] :  (m1_subset_1(D, k1_numbers) =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  (m1_subset_1(F, E) =>  ( (F=1 => k17_finance3(A, B, C, D, E, F)=A)  &  ( ~ (F=1)  => k17_finance3(A, B, C, D, E, F)=k16_finance3(B, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_finance3, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) =>  (! [D] :  (m1_subset_1(D, k1_numbers) =>  (! [E] :  ~ ( (E=k2_enumset1(1, 2, 3, 4) &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, E, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(E, k1_numbers)))) )  =>  ~ ( (k1_funct_1(F, 1)=A &  (k1_funct_1(F, 2)=B &  (k1_funct_1(F, 3)=C & k1_funct_1(F, 4)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_finance3, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) =>  (! [D] :  (m1_subset_1(D, k1_numbers) =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (E=k2_enumset1(1, 2, 3, 4) =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  &  (v1_prob_1(F, E) &  (v4_prob_1(F, E) & m1_subset_1(F, k1_zfmisc_1(k1_zfmisc_1(E)))) ) )  =>  (! [G] :  ( ( ~ (v1_xboole_0(G))  & v3_membered(G))  =>  (! [H] :  (m1_kolmog01(H, G, E, F) =>  ( (k13_prob_1(E, G, F, H, 1)=k8_finance3 &  (k13_prob_1(E, G, F, H, 2)=k9_finance3 & k13_prob_1(E, G, F, H, 3)=k1_random_1(k2_enumset1(1, 2, 3, 4))) )  =>  (! [I] :  (m1_subset_1(I, G) =>  ~ ( (I=3 &  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, E, k1_numbers) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(E, k1_numbers)))) )  =>  ~ ( (k1_funct_1(J, 1)=A &  (k1_funct_1(J, 2)=B &  (k1_funct_1(J, 3)=C &  (k1_funct_1(J, 4)=D & r1_finance1(E, k1_numbers, k10_finance3(G, E, F, H, I), k12_prob_1, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_finance3, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (C=k2_enumset1(1, 2, 3, 4) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, C) &  (v4_prob_1(D, C) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(C)))) ) )  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & v3_membered(E))  =>  (! [F] :  (m1_kolmog01(F, E, C, D) =>  ( (k13_prob_1(C, E, D, F, 1)=k8_finance3 &  (k13_prob_1(C, E, D, F, 2)=k9_finance3 & k13_prob_1(C, E, D, F, 3)=k1_random_1(k2_enumset1(1, 2, 3, 4))) )  =>  (! [G] :  (m1_subset_1(G, E) =>  ~ ( (G=2 &  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, C, k1_numbers) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(C, k1_numbers)))) )  =>  ~ ( (k1_funct_1(H, 1)=A &  (k1_funct_1(H, 2)=A &  (k1_funct_1(H, 3)=B &  (k1_funct_1(H, 4)=B & r1_finance1(C, k1_numbers, k10_finance3(E, C, D, F, G), k12_prob_1, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_finance3, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (B=k2_enumset1(1, 2, 3, 4) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & v3_membered(D))  =>  (! [E] :  (m1_kolmog01(E, D, B, C) =>  ( (k13_prob_1(B, D, C, E, 1)=k8_finance3 &  (k13_prob_1(B, D, C, E, 2)=k9_finance3 & k13_prob_1(B, D, C, E, 3)=k1_random_1(k2_enumset1(1, 2, 3, 4))) )  =>  (! [F] :  (m1_subset_1(F, D) =>  ~ ( (F=1 &  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, B, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  ~ ( (k1_funct_1(G, 1)=A &  (k1_funct_1(G, 2)=A &  (k1_funct_1(G, 3)=A &  (k1_funct_1(G, 4)=A & r1_finance1(B, k1_numbers, k10_finance3(D, B, C, E, F), k12_prob_1, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_finance3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (A=k2_enumset1(1, 2, 3, 4) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v3_membered(C))  =>  ( (C=k1_enumset1(1, 2, 3) & B=k9_setfam_1(k2_enumset1(1, 2, 3, 4)))  =>  (! [D] :  (m1_kolmog01(D, C, A, B) =>  ( (k13_prob_1(A, C, B, D, 1)=k8_finance3 &  (k13_prob_1(A, C, B, D, 2)=k9_finance3 & k13_prob_1(A, C, B, D, 3)=k1_random_1(k2_enumset1(1, 2, 3, 4))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  (! [F] :  (m1_subset_1(F, C) =>  (? [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  & r1_finance1(A, k1_numbers, k10_finance3(C, A, B, D, F), k12_prob_1, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d22_finance3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v3_membered(A))  =>  (A=k1_enumset1(1, 2, 3) =>  (! [B] :  (m1_subset_1(B, A) =>  ( (B=2 | B=3)  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (C=k2_enumset1(1, 2, 3, 4) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, C) &  (v4_prob_1(D, C) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(C)))) ) )  =>  (D=k9_setfam_1(C) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k1_numbers)))) )  =>  ( (k1_funct_1(E, 1)=60 &  (k1_funct_1(E, 2)=80 &  (k1_funct_1(E, 3)=100 & k1_funct_1(E, 4)=120) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, C, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, k1_numbers)))) )  =>  ( (k1_funct_1(F, 1)=80 &  (k1_funct_1(F, 2)=80 &  (k1_funct_1(F, 3)=120 & k1_funct_1(F, 4)=120) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, C, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(C, k1_numbers)))) )  =>  ( (B=2 => k18_finance3(A, B, C, D, E, F, G)=F)  &  ( ~ (B=2)  => k18_finance3(A, B, C, D, E, F, G)=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d23_finance3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v3_membered(A))  =>  (A=k1_enumset1(1, 2, 3) =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (C=k2_enumset1(1, 2, 3, 4) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, C) &  (v4_prob_1(D, C) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(C)))) ) )  =>  (D=k9_setfam_1(C) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k1_numbers)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, C, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, k1_numbers)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, C, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(C, k1_numbers)))) )  =>  ( (k1_funct_1(G, 1)=100 &  (k1_funct_1(G, 2)=100 &  (k1_funct_1(G, 3)=100 & k1_funct_1(G, 4)=100) ) )  =>  ( ( (B=2 | B=3)  => k19_finance3(A, B, C, D, E, F, G)=k18_finance3(A, B, C, D, E, F, G))  &  ~ ( ( ~ (B=2)  &  ( ~ (B=3)  &  ~ (k19_finance3(A, B, C, D, E, F, G)=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_finance3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (A=k2_enumset1(1, 2, 3, 4) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & v3_membered(D))  =>  ( (D=k1_enumset1(1, 2, 3) & C=k9_setfam_1(k2_enumset1(1, 2, 3, 4)))  =>  (! [E] :  (m1_finance3(E, A, C, D) =>  ~ ( (k13_prob_1(A, D, C, E, 1)=k8_finance3 &  (k13_prob_1(A, D, C, E, 2)=k9_finance3 &  (k13_prob_1(A, D, C, E, 3)=k1_random_1(k2_enumset1(1, 2, 3, 4)) &  (! [F] :  (m2_finance3(F, A, k1_numbers, C, k12_prob_1, D) =>  ~ ( ( (! [G] :  (m1_subset_1(G, D) =>  ( (? [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, A, k1_numbers) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (k3_funct_2(D, k6_finance1(A, k1_numbers, C, k12_prob_1), F, G)=H &  (r1_finance1(A, k1_numbers, C, k12_prob_1, H) & r1_finance1(A, k1_numbers, k10_finance3(D, A, C, E, G), k12_prob_1, H)) ) ) )  &  ( ~ ( (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, A, k1_numbers) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (G=1 &  ~ ( (k1_funct_1(H, 1)=100 &  (k1_funct_1(H, 2)=100 &  (k1_funct_1(H, 3)=100 &  (k1_funct_1(H, 4)=100 & k3_funct_2(D, k6_finance1(A, k1_numbers, C, k12_prob_1), F, G)=H) ) ) ) ) ) ) ) )  &  ( ~ ( (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, A, k1_numbers) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (G=2 &  ~ ( (k1_funct_1(H, 1)=80 &  (k1_funct_1(H, 2)=80 &  (k1_funct_1(H, 3)=120 &  (k1_funct_1(H, 4)=120 & k3_funct_2(D, k6_finance1(A, k1_numbers, C, k12_prob_1), F, G)=H) ) ) ) ) ) ) ) )  &  ( ~ ( (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, A, k1_numbers) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (G=3 &  ~ ( (k1_funct_1(H, 1)=60 &  (k1_funct_1(H, 2)=80 &  (k1_funct_1(H, 3)=100 &  (k1_funct_1(H, 4)=120 & k3_funct_2(D, k6_finance1(A, k1_numbers, C, k12_prob_1), F, G)=H) ) ) ) ) ) ) ) )  & v1_finance3(F, A, k1_numbers, C, k12_prob_1, D, E)) ) ) ) ) )  & m3_finance3(F, A, k1_numbers, C, k12_prob_1, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_finance3, axiom,  (! [A, B, C, D, E, F, G] :  ( (v7_ordinal1(A) &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  ( ~ (v1_xboole_0(C))  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, C) &  (v4_prob_1(D, C) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(C)))) ) )  &  ( ~ (v1_xboole_0(E))  &  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, E)))) )  & m1_subset_1(G, C)) ) ) ) ) )  => m1_subset_1(k1_finance3(A, B, C, D, E, F, G), k1_numbers)) ) ).
fof(redefinition_k1_finance3, axiom,  (! [A, B, C, D, E, F, G] :  ( (v7_ordinal1(A) &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  ( ~ (v1_xboole_0(C))  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, C) &  (v4_prob_1(D, C) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(C)))) ) )  &  ( ~ (v1_xboole_0(E))  &  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, E)))) )  & m1_subset_1(G, C)) ) ) ) ) )  => k1_finance3(A, B, C, D, E, F, G)=k11_finance1(A, B, C, D, E, F, G)) ) ).
fof(dt_k2_finance3, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ~ (v1_xboole_0(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, C)))) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  & v7_ordinal1(F)) ) ) ) )  =>  (v1_funct_1(k2_finance3(A, B, C, D, E, F)) &  (v1_funct_2(k2_finance3(A, B, C, D, E, F), A, k1_numbers) & m1_subset_1(k2_finance3(A, B, C, D, E, F), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ).
fof(dt_k3_finance3, axiom,  (! [A, B, C, D, E, F, G] :  ( (v7_ordinal1(A) &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  ( ~ (v1_xboole_0(C))  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, C) &  (v4_prob_1(D, C) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(C)))) ) )  &  ( ~ (v1_xboole_0(E))  &  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, E)))) )  & m1_subset_1(G, C)) ) ) ) ) )  => v1_xreal_0(k3_finance3(A, B, C, D, E, F, G))) ) ).
fof(redefinition_k3_finance3, axiom,  (! [A, B, C, D, E, F, G] :  ( (v7_ordinal1(A) &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  ( ~ (v1_xboole_0(C))  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, C) &  (v4_prob_1(D, C) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(C)))) ) )  &  ( ~ (v1_xboole_0(E))  &  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, E)))) )  & m1_subset_1(G, C)) ) ) ) ) )  => k3_finance3(A, B, C, D, E, F, G)=k12_finance1(A, B, C, D, E, F, G)) ) ).
fof(dt_k4_finance3, axiom,  (! [A, B, C, D, E, F, G] :  ( (v7_ordinal1(A) &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  ( ~ (v1_xboole_0(C))  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, C) &  (v4_prob_1(D, C) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(C)))) ) )  &  ( ~ (v1_xboole_0(E))  &  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, E)))) )  & m1_subset_1(G, C)) ) ) ) ) )  => m1_subset_1(k4_finance3(A, B, C, D, E, F, G), k1_numbers)) ) ).
fof(redefinition_k4_finance3, axiom,  (! [A, B, C, D, E, F, G] :  ( (v7_ordinal1(A) &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  ( ~ (v1_xboole_0(C))  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, C) &  (v4_prob_1(D, C) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(C)))) ) )  &  ( ~ (v1_xboole_0(E))  &  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, E)))) )  & m1_subset_1(G, C)) ) ) ) ) )  => k4_finance3(A, B, C, D, E, F, G)=k12_finance1(A, B, C, D, E, F, G)) ) ).
fof(dt_k5_finance3, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ~ (v1_xboole_0(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, C)))) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  & v7_ordinal1(F)) ) ) ) )  =>  (v1_funct_1(k5_finance3(A, B, C, D, E, F)) &  (v1_funct_2(k5_finance3(A, B, C, D, E, F), A, k1_numbers) & m1_subset_1(k5_finance3(A, B, C, D, E, F), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ).
fof(dt_k6_finance3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  & m1_subset_1(C, A)) )  => m1_subset_1(k6_finance3(A, B, C), k1_numbers)) ) ).
fof(dt_k7_finance3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v1_random_3(C, A, k1_numbers, B, k12_prob_1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  & v1_xreal_0(D)) ) )  =>  (v1_funct_1(k7_finance3(A, B, C, D)) &  (v1_funct_2(k7_finance3(A, B, C, D), A, k1_numbers) & m1_subset_1(k7_finance3(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ).
fof(dt_k8_finance3, axiom,  ( ~ (v1_xboole_0(k8_finance3))  &  (v1_prob_1(k8_finance3, k2_enumset1(1, 2, 3, 4)) &  (v4_prob_1(k8_finance3, k2_enumset1(1, 2, 3, 4)) & m1_subset_1(k8_finance3, k1_zfmisc_1(k1_zfmisc_1(k2_enumset1(1, 2, 3, 4))))) ) ) ).
fof(dt_k9_finance3, axiom,  ( ~ (v1_xboole_0(k9_finance3))  &  (v1_prob_1(k9_finance3, k2_enumset1(1, 2, 3, 4)) &  (v4_prob_1(k9_finance3, k2_enumset1(1, 2, 3, 4)) & m1_subset_1(k9_finance3, k1_zfmisc_1(k1_zfmisc_1(k2_enumset1(1, 2, 3, 4))))) ) ) ).
fof(dt_m1_finance3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ~ (v1_xboole_0(C))  & v3_membered(C)) ) )  =>  (! [D] :  (m1_finance3(D, A, B, C) => m1_kolmog01(D, C, A, B)) ) ) ) ).
fof(existence_m1_finance3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ~ (v1_xboole_0(C))  & v3_membered(C)) ) )  =>  (? [D] : m1_finance3(D, A, B, C)) ) ) ).
fof(dt_k10_finance3, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  (m1_kolmog01(D, A, B, C) & m1_subset_1(E, A)) ) ) )  =>  ( ~ (v1_xboole_0(k10_finance3(A, B, C, D, E)))  &  (v1_prob_1(k10_finance3(A, B, C, D, E), B) &  (v4_prob_1(k10_finance3(A, B, C, D, E), B) & m1_subset_1(k10_finance3(A, B, C, D, E), k1_zfmisc_1(k1_zfmisc_1(B)))) ) ) ) ) ).
fof(dt_k11_finance3, axiom,  (! [A] :  (m1_subset_1(A, k1_enumset1(1, 2, 3)) => m1_subset_1(k11_finance3(A), k1_zfmisc_1(k9_setfam_1(k2_enumset1(1, 2, 3, 4))))) ) ).
fof(dt_k12_finance3, axiom,  (! [A] :  (m1_subset_1(A, k1_enumset1(1, 2, 3)) => m1_subset_1(k12_finance3(A), k1_zfmisc_1(k9_setfam_1(k2_enumset1(1, 2, 3, 4))))) ) ).
fof(dt_m2_finance3, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( ~ (v1_xboole_0(E))  & v3_membered(E)) ) ) ) )  =>  (! [F] :  (m2_finance3(F, A, B, C, D, E) =>  (v1_funct_1(F) &  (v1_funct_2(F, E, k6_finance1(A, B, C, D)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(E, k6_finance1(A, B, C, D))))) ) ) ) ) ) ).
fof(existence_m2_finance3, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( ~ (v1_xboole_0(E))  & v3_membered(E)) ) ) ) )  =>  (? [F] : m2_finance3(F, A, B, C, D, E)) ) ) ).
fof(dt_k13_finance3, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( ( ~ (v1_xboole_0(E))  & v3_membered(E))  &  (m2_finance3(F, A, B, C, D, E) & m1_subset_1(G, E)) ) ) ) ) )  =>  (v1_funct_1(k13_finance3(A, B, C, D, E, F, G)) &  (v1_funct_2(k13_finance3(A, B, C, D, E, F, G), A, B) &  (v1_random_3(k13_finance3(A, B, C, D, E, F, G), A, B, C, D) & m1_subset_1(k13_finance3(A, B, C, D, E, F, G), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ).
fof(dt_m3_finance3, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( ( ~ (v1_xboole_0(E))  & v3_membered(E))  & m2_finance3(F, A, B, C, D, E)) ) ) ) )  =>  (! [G] :  (m3_finance3(G, A, B, C, D, E, F) =>  (v1_funct_1(G) &  (v1_funct_2(G, E, k6_finance1(A, B, C, D)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(E, k6_finance1(A, B, C, D))))) ) ) ) ) ) ).
fof(existence_m3_finance3, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( ( ~ (v1_xboole_0(E))  & v3_membered(E))  & m2_finance3(F, A, B, C, D, E)) ) ) ) )  =>  (? [G] : m3_finance3(G, A, B, C, D, E, F)) ) ) ).
fof(dt_m4_finance3, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(k4_ordinal1)))  &  ( ( ~ (v1_xboole_0(F))  & m1_subset_1(F, k1_zfmisc_1(k4_ordinal1)))  & m2_finance3(G, A, B, C, D, k10_subset_1(F, k9_setfam_1(k1_numbers)))) ) ) ) ) )  =>  (! [H] :  (m4_finance3(H, A, B, C, D, E, F, G) =>  (v1_funct_1(H) &  (v1_funct_2(H, F, k6_finance1(A, B, C, D)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(F, k6_finance1(A, B, C, D))))) ) ) ) ) ) ).
fof(existence_m4_finance3, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(k4_ordinal1)))  &  ( ( ~ (v1_xboole_0(F))  & m1_subset_1(F, k1_zfmisc_1(k4_ordinal1)))  & m2_finance3(G, A, B, C, D, k10_subset_1(F, k9_setfam_1(k1_numbers)))) ) ) ) ) )  =>  (? [H] : m4_finance3(H, A, B, C, D, E, F, G)) ) ) ).
fof(dt_k14_finance3, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, k1_numbers) &  (m1_subset_1(B, k1_numbers) &  ( ~ (v1_xboole_0(C))  & m1_subset_1(D, C)) ) )  => m1_subset_1(k14_finance3(A, B, C, D), k1_numbers)) ) ).
fof(dt_k15_finance3, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, k1_numbers) &  (m1_subset_1(B, k1_numbers) &  ( ~ (v1_xboole_0(C))  & m1_subset_1(D, C)) ) )  => m1_subset_1(k15_finance3(A, B, C, D), k1_numbers)) ) ).
fof(dt_k16_finance3, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(A, k1_numbers) &  (m1_subset_1(B, k1_numbers) &  (m1_subset_1(C, k1_numbers) &  ( ~ (v1_xboole_0(D))  & m1_subset_1(E, D)) ) ) )  => m1_subset_1(k16_finance3(A, B, C, D, E), k1_numbers)) ) ).
fof(dt_k17_finance3, axiom,  (! [A, B, C, D, E, F] :  ( (m1_subset_1(A, k1_numbers) &  (m1_subset_1(B, k1_numbers) &  (m1_subset_1(C, k1_numbers) &  (m1_subset_1(D, k1_numbers) &  ( ~ (v1_xboole_0(E))  & m1_subset_1(F, E)) ) ) ) )  => m1_subset_1(k17_finance3(A, B, C, D, E, F), k1_numbers)) ) ).
fof(dt_k18_finance3, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v1_xboole_0(A))  & v3_membered(A))  &  (m1_subset_1(B, A) &  ( ~ (v1_xboole_0(C))  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, C) &  (v4_prob_1(D, C) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(C)))) ) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k1_numbers)))) )  &  ( (v1_funct_1(F) &  (v1_funct_2(F, C, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, k1_numbers)))) )  &  (v1_funct_1(G) &  (v1_funct_2(G, C, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(C, k1_numbers)))) ) ) ) ) ) ) )  => m1_subset_1(k18_finance3(A, B, C, D, E, F, G), k6_finance1(C, k1_numbers, D, k12_prob_1))) ) ).
fof(dt_k19_finance3, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v1_xboole_0(A))  & v3_membered(A))  &  (m1_subset_1(B, A) &  ( ~ (v1_xboole_0(C))  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, C) &  (v4_prob_1(D, C) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(C)))) ) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k1_numbers)))) )  &  ( (v1_funct_1(F) &  (v1_funct_2(F, C, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, k1_numbers)))) )  &  (v1_funct_1(G) &  (v1_funct_2(G, C, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(C, k1_numbers)))) ) ) ) ) ) ) )  => m1_subset_1(k19_finance3(A, B, C, D, E, F, G), k6_finance1(C, k1_numbers, D, k12_prob_1))) ) ).
fof(t2_finance3, axiom,  (! [A] :  (v7_ordinal1(A) => r1_tarski(a_1_0_finance3(A), a_1_1_finance3(A))) ) ).
fof(t3_finance3, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (v1_xboole_0(a_1_1_finance3(A)))  & m1_subset_1(a_1_1_finance3(A), k1_zfmisc_1(k4_ordinal1))) ) ) ).
fof(t4_finance3, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  =>  ( ~ (v1_xboole_0(a_1_0_finance3(A)))  & m1_subset_1(a_1_0_finance3(A), k1_zfmisc_1(k4_ordinal1))) ) ) ) ).
fof(fraenkel_a_1_0_finance3, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_0_finance3(B)) <=>  (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (A=C &  ( ~ (r1_xxreal_0(C, k5_numbers))  & r1_xxreal_0(C, B)) ) ) ) ) ) ) ).
fof(fraenkel_a_1_1_finance3, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_1_finance3(B)) <=>  (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (A=C & r1_xxreal_0(C, B)) ) ) ) ) ) ).
fof(fc1_finance4, axiom,  (! [A] :  (v2_membered(A) =>  ~ (v1_xboole_0(k1_finance4(A))) ) ) ).
fof(fc2_finance4, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ (v1_xboole_0(k2_finance4(A))) ) ) ).
fof(fc3_finance4, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ (v1_xboole_0(k3_finance4(A))) ) ) ).
fof(d1_finance4, axiom,  (! [A] :  (v2_membered(A) => k1_finance4(A)=k2_xboole_0(A, k1_tarski(k1_supinf_1))) ) ).
fof(d3_finance4, axiom,  (! [A] :  (v7_ordinal1(A) => k3_finance4(A)=k2_xboole_0(k2_finance4(A), k1_tarski(k1_supinf_1))) ) ).
fof(d4_finance4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (v1_relat_1(C) =>  (r1_finance4(A, B, C) <=>  (! [D] :  (m2_subset_1(D, k1_numbers, k2_finance4(A)) => r2_tarski(k10_relat_1(C, D), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ).
fof(t3_finance4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_subset_1(D, k6_numbers, k3_finance4(C)) =>  (! [E] :  (m1_finance3(E, A, B, k2_finance4(C)) => r2_finance4(A, C, E, k8_funcop_1(k3_finance4(C), A, D))) ) ) ) ) ) ) ) ) ) ).
fof(d6_finance4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k3_finance4(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k3_finance4(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k3_finance4(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k3_finance4(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k6_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  (E=k4_finance4(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, A) => k3_funct_2(A, k6_numbers, E, F)=k4_xxreal_0(k3_funct_2(A, k3_finance4(B), C, F), k3_funct_2(A, k3_finance4(B), D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_finance4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k3_finance4(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k3_finance4(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k3_finance4(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k3_finance4(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k6_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  (E=k5_finance4(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, A) => k3_funct_2(A, k6_numbers, E, F)=k3_xxreal_0(k3_funct_2(A, k3_finance4(B), C, F), k3_funct_2(A, k3_finance4(B), D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_finance4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_finance3(D, A, B, k2_finance4(C)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k3_finance4(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k3_finance4(C))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, k3_finance4(C)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k3_finance4(C))))) )  =>  ~ ( (r2_finance4(A, C, D, E) &  (r2_finance4(A, C, D, F) &  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, k3_finance4(C)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k3_finance4(C))))) )  =>  ~ ( (r1_funct_2(A, k3_finance4(C), A, k6_numbers, G, k4_finance4(A, C, E, F)) & r2_finance4(A, C, D, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_finance4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_finance3(D, A, B, k2_finance4(C)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k3_finance4(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k3_finance4(C))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, k3_finance4(C)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k3_finance4(C))))) )  =>  ~ ( (r2_finance4(A, C, D, E) &  (r2_finance4(A, C, D, F) &  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, k3_finance4(C)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k3_finance4(C))))) )  =>  ~ ( (r1_funct_2(A, k3_finance4(C), A, k6_numbers, G, k5_finance4(A, C, E, F)) & r2_finance4(A, C, D, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_finance4, axiom,  (! [A] : k6_finance4(A)=k2_matrix_7(A, k2_tarski(1, 2), 1, 2)) ).
fof(dt_k1_finance4, axiom,  (! [A] :  (v2_membered(A) => m1_subset_1(k1_finance4(A), k1_zfmisc_1(k6_numbers))) ) ).
fof(dt_k2_finance4, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k2_finance4(A), k1_zfmisc_1(k1_numbers))) ) ).
fof(dt_k3_finance4, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k3_finance4(A), k1_zfmisc_1(k6_numbers))) ) ).
fof(redefinition_r2_finance4, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  ( (v1_relat_1(C) & v1_funct_1(C))  &  (v1_funct_1(D) &  (v1_funct_2(D, A, k3_finance4(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k3_finance4(B))))) ) ) ) )  =>  (r2_finance4(A, B, C, D) <=> r1_finance4(B, C, D)) ) ) ).
fof(dt_k4_finance4, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k3_finance4(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k3_finance4(B))))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, A, k3_finance4(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k3_finance4(B))))) ) ) ) )  =>  (v1_funct_1(k4_finance4(A, B, C, D)) &  (v1_funct_2(k4_finance4(A, B, C, D), A, k6_numbers) & m1_subset_1(k4_finance4(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ) ).
fof(dt_k5_finance4, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k3_finance4(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k3_finance4(B))))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, A, k3_finance4(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k3_finance4(B))))) ) ) ) )  =>  (v1_funct_1(k5_finance4(A, B, C, D)) &  (v1_funct_2(k5_finance4(A, B, C, D), A, k6_numbers) & m1_subset_1(k5_finance4(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ) ).
fof(dt_k6_finance4, axiom,  (! [A] : m2_subset_1(k6_finance4(A), k6_numbers, k3_finance4(2))) ).
fof(t1_finance4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (k9_xtuple_0(C)=A => a_3_0_finance4(A, B, C)=k10_relat_1(C, B)) ) ) ) ) ) ).
fof(d2_finance4, axiom,  (! [A] :  (v7_ordinal1(A) => k2_finance4(A)=a_1_0_finance4(A)) ) ).
fof(d5_finance4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k3_finance4(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k3_finance4(B))))) )  =>  (r2_finance4(A, B, C, D) <=>  (! [E] :  (m2_subset_1(E, k1_numbers, k2_finance4(B)) => r2_tarski(a_4_0_finance4(A, B, D, E), k1_funct_1(C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_finance4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_finance3(D, A, B, k2_finance4(C)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k3_finance4(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k3_finance4(C))))) )  =>  (r2_finance4(A, C, D, E) <=>  (! [F] :  (m2_subset_1(F, k1_numbers, k2_finance4(C)) => r2_tarski(a_4_1_finance4(A, C, E, F), k13_prob_1(A, k2_finance4(C), B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_finance4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (A=k2_enumset1(1, 2, 3, 4) =>  (! [C] :  (m1_finance3(C, A, B, k2_finance4(2)) =>  ~ ( (k13_prob_1(A, k2_finance4(2), B, C, k5_numbers)=k8_finance3 &  (k13_prob_1(A, k2_finance4(2), B, C, 1)=k9_finance3 &  (k13_prob_1(A, k2_finance4(2), B, C, 2)=k1_random_1(A) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k3_finance4(2)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k3_finance4(2))))) )  =>  ~ ( (r2_finance4(A, 2, C, D) &  (k1_funct_1(D, 1)=1 &  (k1_funct_1(D, 2)=1 &  (k1_funct_1(D, 3)=2 &  (k1_funct_1(D, 4)=2 &  (a_2_0_finance4(A, D)=k1_xboole_0 &  (a_2_1_finance4(A, D)=k2_tarski(1, 2) & a_2_2_finance4(A, D)=k2_tarski(3, 4)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_finance4, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(D) & v1_funct_1(D)) )  =>  (r2_hidden(A, a_3_0_finance4(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, B) &  (A=E & k1_funct_1(D, E)=C) ) ) ) ) ) ).
fof(fraenkel_a_1_0_finance4, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_0_finance4(B)) <=>  (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (A=C &  (r1_xxreal_0(k5_numbers, C) & r1_xxreal_0(C, B)) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_finance4, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  (v7_ordinal1(C) &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k3_finance4(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k3_finance4(C))))) )  & m2_subset_1(E, k1_numbers, k2_finance4(C))) ) )  =>  (r2_hidden(A, a_4_0_finance4(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, B) &  (A=F & k3_funct_2(B, k3_finance4(C), D, F)=E) ) ) ) ) ) ).
fof(fraenkel_a_4_1_finance4, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  (v7_ordinal1(C) &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k3_finance4(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k3_finance4(C))))) )  & m2_subset_1(E, k1_numbers, k2_finance4(C))) ) )  =>  (r2_hidden(A, a_4_1_finance4(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, B) &  (A=F & r1_xxreal_0(k3_funct_2(B, k3_finance4(C), D, F), E)) ) ) ) ) ) ).
fof(fraenkel_a_2_0_finance4, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k3_finance4(2)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k3_finance4(2))))) ) )  =>  (r2_hidden(A, a_2_0_finance4(B, C)) <=>  (? [D] :  (m1_subset_1(D, B) &  (A=D & k3_funct_2(B, k3_finance4(2), C, D)=k5_numbers) ) ) ) ) ) ).
fof(fraenkel_a_2_1_finance4, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k3_finance4(2)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k3_finance4(2))))) ) )  =>  (r2_hidden(A, a_2_1_finance4(B, C)) <=>  (? [D] :  (m1_subset_1(D, B) &  (A=D & k3_funct_2(B, k3_finance4(2), C, D)=1) ) ) ) ) ) ).
fof(fraenkel_a_2_2_finance4, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k3_finance4(2)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k3_finance4(2))))) ) )  =>  (r2_hidden(A, a_2_2_finance4(B, C)) <=>  (? [D] :  (m1_subset_1(D, B) &  (A=D & k3_funct_2(B, k3_finance4(2), C, D)=2) ) ) ) ) ) ).
fof(fc1_finance5, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v2_valued_0(B)) ) )  =>  (v1_relat_1(k1_finance5(A, B)) &  (v1_funct_1(k1_finance5(A, B)) & v2_valued_0(k1_finance5(A, B))) ) ) ) ).
fof(fc2_finance5, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v1_xboole_0(B))  & v2_membered(B))  &  ( ( ~ (v1_xboole_0(C))  & v2_membered(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, C)))) ) ) ) )  =>  (v1_funct_1(k1_finance5(D, E)) & v1_partfun1(k1_finance5(D, E), A)) ) ) ).
fof(fc3_finance5, axiom,  (! [A] :  (v1_xxreal_0(A) =>  ~ (v1_xboole_0(k1_xxreal_1(A, k1_xxreal_0))) ) ) ).
fof(fc4_finance5, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ (v1_xboole_0(k3_xxreal_1(A, k1_xxreal_0))) ) ) ).
fof(rc1_finance5, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v7_ordinal1(C) & m1_finance3(D, A, B, k2_finance4(C))) ) )  =>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k3_finance4(C)))) &  ( ~ (v1_xboole_0(E))  &  (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v5_relat_1(E, k3_finance4(C)) &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v1_funct_2(E, A, k3_finance4(C)) &  (v2_valued_0(E) & v1_finance5(E, A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_finance5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_finance5(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(rc2_finance5, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_xreal_0(C) &  (m1_finance5(D, C) & m1_finance3(E, A, B, D)) ) ) )  =>  (? [F] :  (m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, D))) &  ( ~ (v1_xboole_0(F))  &  (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v5_relat_1(F, D) &  (v1_funct_1(F) &  (v1_partfun1(F, A) &  (v1_funct_2(F, A, D) &  (v1_valued_0(F) &  (v2_valued_0(F) &  (v3_valued_0(F) &  (v1_random_3(F, A, D, B, k4_finance5(C, D)) & v2_finance5(F, A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_finance5, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  & m1_finance3(D, A, B, C)) ) )  =>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_xxreal_1(k5_numbers, k1_xxreal_0)))) &  ( ~ (v1_xboole_0(E))  &  (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v5_relat_1(E, k1_xxreal_1(k5_numbers, k1_xxreal_0)) &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v1_funct_2(E, A, k1_xxreal_1(k5_numbers, k1_xxreal_0)) &  (v2_valued_0(E) &  (v1_random_3(E, A, k1_xxreal_1(k5_numbers, k1_xxreal_0), B, k14_finance5) & v3_finance5(E, A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_finance5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v2_membered(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (r1_finance5(A, B, C, D) <=>  (! [E] :  (m1_subset_1(E, A) => r1_xxreal_0(k3_funct_2(A, B, C, E), k3_funct_2(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_finance5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v2_valued_0(B)) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k1_finance5(A, B) <=>  (k9_xtuple_0(C)=k3_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)) &  (! [D] :  (r2_hidden(D, k9_xtuple_0(C)) => k1_funct_1(C, D)=k1_xxreal_3(k1_funct_1(A, D), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t2_finance5, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(A, k7_xcmplx_0(1, B)))  &  ~ (r1_xxreal_0(B, k5_numbers)) ) ) ) ) ) ) ) ) ).
fof(t3_finance5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k3_xboole_0(k1_xxreal_1(k2_xxreal_0, A), k1_xxreal_1(B, k1_xxreal_0))=k1_rcomp_1(B, A)) ) ) ) ).
fof(t4_finance5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r1_xxreal_0(k5_numbers, A) => k6_subset_1(k1_xxreal_1(k5_numbers, k1_xxreal_0), k3_rcomp_1(k5_numbers, A))=k1_xxreal_1(A, k1_xxreal_0)) ) ) ).
fof(t5_finance5, axiom,  (! [A] :  (v1_xxreal_0(A) => k6_subset_1(k6_numbers, k1_xxreal_1(k2_xxreal_0, A))=k3_xxreal_1(A, k1_xxreal_0)) ) ).
fof(d3_finance5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_finance3(D, A, B, k2_finance4(C)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k3_finance4(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k3_finance4(C))))) )  =>  (v1_finance5(E, A, B, C, D) <=> r2_finance4(A, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_finance5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (! [D] :  (m1_finance3(D, A, B, k2_finance4(C)) =>  ~ ( (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k3_finance4(C)) &  (v1_finance5(E, A, B, C, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k3_finance4(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, k3_finance4(C)) &  (v1_finance5(F, A, B, C, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k3_finance4(C))))) ) )  =>  (v1_funct_1(k2_finance5(A, k3_finance4(C), k3_finance4(C), E, F)) &  (v1_funct_2(k2_finance5(A, k3_finance4(C), k3_finance4(C), E, F), A, k3_finance4(C)) &  (v1_finance5(k2_finance5(A, k3_finance4(C), k3_finance4(C), E, F), A, B, C, D) & m1_subset_1(k2_finance5(A, k3_finance4(C), k3_finance4(C), E, F), k1_zfmisc_1(k2_zfmisc_1(A, k3_finance4(C))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_finance5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  ( (r1_xxreal_0(A, k5_numbers) =>  (m1_finance5(B, A) <=> B=k3_rcomp_1(k5_numbers, k1_xxreal_0)) )  &  ( ~ (r1_xxreal_0(A, k5_numbers))  =>  (m1_finance5(B, A) <=> B=k1_rcomp_1(k5_numbers, A)) ) ) ) ) ) ) ).
fof(t7_finance5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_finance5(B, A) => m1_prob_1(B, k1_numbers, k12_prob_1)) ) ) ) ).
fof(d5_finance5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_finance5(B, A) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_numbers), k12_prob_1) => k3_finance5(A, B, C)=k9_subset_1(k1_numbers, C, B)) ) ) ) ) ) ).
fof(t8_finance5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_finance5(D, C) =>  (! [E] :  (m1_finance3(E, A, B, D) =>  (! [F] :  (m2_subset_1(F, k1_numbers, D) =>  (? [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, D) &  (v1_random_3(G, A, D, B, k4_finance5(C, D)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, D)))) ) )  &  (r2_funct_2(A, D, G, k8_funcop_1(D, A, F)) & r2_finance5(A, B, C, D, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_finance5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_finance5(D, C) =>  (! [E] :  (m1_finance3(E, A, B, D) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, D) &  (v1_random_3(F, A, D, B, k4_finance5(C, D)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, D)))) ) )  =>  (v2_finance5(F, A, B, C, D, E) <=> r2_finance5(A, B, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_finance5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_finance5(D, C) =>  (! [E] :  (m1_finance3(E, A, B, D) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, D) &  (v1_random_3(F, A, D, B, k4_finance5(C, D)) &  (v2_finance5(F, A, B, C, D, E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, D)))) ) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [H] :  (m2_subset_1(H, k1_numbers, D) =>  (! [I] :  ( (v5_relat_1(I, k10_finance3(D, A, B, E, H)) &  (v1_funct_1(I) &  (v1_funct_2(I, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (I=k6_finance5(A, B, C, D, E, F, G, H) <=>  (! [J] :  (v7_ordinal1(J) => k8_nat_1(k9_setfam_1(A), I, J)=k5_finance5(A, B, C, D, E, F, G, H, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_finance5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_finance5(D, C) =>  (! [E] :  (m1_finance3(E, A, B, D) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, D) &  (v1_random_3(F, A, D, B, k4_finance5(C, D)) &  (v2_finance5(F, A, B, C, D, E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, D)))) ) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, D) &  (v1_random_3(G, A, D, B, k4_finance5(C, D)) &  (v2_finance5(G, A, B, C, D, E) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, D)))) ) ) )  =>  (r1_finance5(A, D, F, G) => r1_tarski(k7_finance5(A, B, C, D, E, F), k7_finance5(A, B, C, D, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_finance5, axiom, k9_finance5=k9_prob_1(k6_numbers, k8_finance5)).
fof(t10_finance5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (m2_subset_1(k3_xxreal_1(A, k1_xxreal_0), k1_zfmisc_1(k6_numbers), k9_finance5) & m2_subset_1(k1_xxreal_1(k2_xxreal_0, A), k1_zfmisc_1(k6_numbers), k9_finance5)) ) ) ).
fof(d14_finance5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k6_numbers))))) )  =>  (B=k10_finance5(A) <=>  (k8_nat_1(k9_setfam_1(k6_numbers), B, k5_numbers)=k3_xxreal_1(k6_xcmplx_0(A, 1), k1_xxreal_0) &  (! [C] :  (v7_ordinal1(C) => k8_nat_1(k9_setfam_1(k6_numbers), B, k2_xcmplx_0(C, 1))=k3_xxreal_1(k6_xcmplx_0(A, k7_xcmplx_0(1, k2_xcmplx_0(C, 1))), k1_xxreal_0)) ) ) ) ) ) ) ) ).
fof(t11_finance5, axiom,  (! [A] :  (v1_xreal_0(A) => m2_subset_1(k3_prob_1(k6_numbers, k10_finance5(A)), k1_zfmisc_1(k6_numbers), k9_finance5)) ) ).
fof(t12_finance5, axiom,  (! [A] :  (v1_xreal_0(A) => k3_prob_1(k6_numbers, k10_finance5(A))=k1_xxreal_1(A, k1_xxreal_0)) ) ).
fof(t13_finance5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => m2_subset_1(k1_rcomp_1(B, A), k1_zfmisc_1(k6_numbers), k9_finance5)) ) ) ) ).
fof(t14_finance5, axiom,  (! [A] :  (v1_xreal_0(A) => m2_subset_1(k1_tarski(A), k1_zfmisc_1(k6_numbers), k9_finance5)) ) ).
fof(t15_finance5, axiom,  (! [A] :  (v1_xreal_0(A) => m1_prob_1(k1_xxreal_1(A, k1_xxreal_0), k6_numbers, k9_finance5)) ) ).
fof(d15_finance5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k6_numbers))))) )  =>  (B=k11_finance5(A) <=>  (! [C] :  (v7_ordinal1(C) => k8_nat_1(k9_setfam_1(k6_numbers), B, C)=k1_xxreal_1(k2_xxreal_0, k6_xcmplx_0(A, C))) ) ) ) ) ) ) ).
fof(t16_finance5, axiom,  (! [A] :  (v1_xreal_0(A) => m2_subset_1(k3_prob_1(k6_numbers, k11_finance5(A)), k1_zfmisc_1(k6_numbers), k9_finance5)) ) ).
fof(t17_finance5, axiom, k3_prob_1(k6_numbers, k11_finance5(k5_numbers))=k1_tarski(k2_xxreal_0)).
fof(t18_finance5, axiom, m2_subset_1(k1_tarski(k2_xxreal_0), k1_zfmisc_1(k6_numbers), k9_finance5)).
fof(d16_finance5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k6_numbers))))) )  =>  (B=k12_finance5(A) <=>  (! [C] :  (v7_ordinal1(C) => k8_nat_1(k9_setfam_1(k6_numbers), B, C)=k1_xxreal_1(k2_xcmplx_0(A, C), k1_xxreal_0)) ) ) ) ) ) ) ).
fof(t19_finance5, axiom,  (! [A] :  (v1_xreal_0(A) => m2_subset_1(k3_prob_1(k6_numbers, k12_finance5(A)), k1_zfmisc_1(k6_numbers), k9_finance5)) ) ).
fof(t20_finance5, axiom, k3_prob_1(k6_numbers, k12_finance5(k5_numbers))=k1_tarski(k1_xxreal_0)).
fof(t21_finance5, axiom, m2_subset_1(k1_tarski(k1_xxreal_0), k1_zfmisc_1(k6_numbers), k9_finance5)).
fof(t22_finance5, axiom, m2_subset_1(k1_numbers, k1_zfmisc_1(k6_numbers), k9_finance5)).
fof(t23_finance5, axiom, r1_tarski(k11_prob_1, k9_finance5)).
fof(d17_finance5, axiom,  (! [A] :  (m2_subset_1(A, k1_zfmisc_1(k6_numbers), k9_finance5) => k13_finance5(A)=k8_subset_1(k6_numbers, A, k1_xxreal_1(k5_numbers, k1_xxreal_0))) ) ).
fof(t24_finance5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  (m1_finance3(D, A, B, C) =>  (! [E] :  (m1_subset_1(E, k1_xxreal_1(k5_numbers, k1_xxreal_0)) =>  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, k1_xxreal_1(k5_numbers, k1_xxreal_0)) &  (v1_random_3(F, A, k1_xxreal_1(k5_numbers, k1_xxreal_0), B, k14_finance5) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k1_xxreal_1(k5_numbers, k1_xxreal_0))))) ) )  &  (r2_funct_2(A, k1_xxreal_1(k5_numbers, k1_xxreal_0), F, k8_funcop_1(k1_xxreal_1(k5_numbers, k1_xxreal_0), A, E)) & r3_finance5(A, B, D, C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d20_finance5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  (m1_finance3(D, A, B, C) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k1_xxreal_1(k5_numbers, k1_xxreal_0)) &  (v1_random_3(E, A, k1_xxreal_1(k5_numbers, k1_xxreal_0), B, k14_finance5) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_xxreal_1(k5_numbers, k1_xxreal_0))))) ) )  =>  (v3_finance5(E, A, B, C, D) <=> r3_finance5(A, B, D, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d22_finance5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  (m1_finance3(D, A, B, C) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k1_xxreal_1(k5_numbers, k1_xxreal_0)) &  (v1_random_3(E, A, k1_xxreal_1(k5_numbers, k1_xxreal_0), B, k14_finance5) &  (v3_finance5(E, A, B, C, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_xxreal_1(k5_numbers, k1_xxreal_0))))) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [G] :  (m2_subset_1(G, k1_numbers, C) =>  (! [H] :  ( (v5_relat_1(H, k10_finance3(C, A, B, D, G)) &  (v1_funct_1(H) &  (v1_funct_2(H, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (H=k16_finance5(A, B, C, D, E, F, G) <=>  (! [I] :  (v7_ordinal1(I) => k8_nat_1(k9_setfam_1(A), H, I)=k15_finance5(A, B, C, D, E, F, G, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_finance5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  (m1_finance3(D, A, B, C) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k1_xxreal_1(k5_numbers, k1_xxreal_0)) &  (v1_random_3(E, A, k1_xxreal_1(k5_numbers, k1_xxreal_0), B, k14_finance5) &  (v3_finance5(E, A, B, C, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_xxreal_1(k5_numbers, k1_xxreal_0))))) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, k1_xxreal_1(k5_numbers, k1_xxreal_0)) &  (v1_random_3(F, A, k1_xxreal_1(k5_numbers, k1_xxreal_0), B, k14_finance5) &  (v3_finance5(F, A, B, C, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k1_xxreal_1(k5_numbers, k1_xxreal_0))))) ) ) )  =>  (r1_finance5(A, k1_xxreal_1(k5_numbers, k1_xxreal_0), E, F) => r1_tarski(k17_finance5(A, B, C, D, E), k17_finance5(A, B, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_finance5, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v2_valued_0(B)) ) )  =>  (v1_relat_1(k1_finance5(A, B)) & v1_funct_1(k1_finance5(A, B))) ) ) ).
fof(commutativity_k1_finance5, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v2_valued_0(B)) ) )  => k1_finance5(A, B)=k1_finance5(B, A)) ) ).
fof(dt_k2_finance5, axiom,  (! [A, B, C, D, E] :  ( (v2_membered(B) &  (v2_membered(C) &  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  &  (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, C)))) ) ) )  =>  (v1_funct_1(k2_finance5(A, B, C, D, E)) & m1_subset_1(k2_finance5(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ).
fof(commutativity_k2_finance5, axiom,  (! [A, B, C, D, E] :  ( (v2_membered(B) &  (v2_membered(C) &  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  &  (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, C)))) ) ) )  => k2_finance5(A, B, C, D, E)=k2_finance5(A, B, C, E, D)) ) ).
fof(redefinition_k2_finance5, axiom,  (! [A, B, C, D, E] :  ( (v2_membered(B) &  (v2_membered(C) &  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  &  (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, C)))) ) ) )  => k2_finance5(A, B, C, D, E)=k1_finance5(D, E)) ) ).
fof(dt_m1_finance5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_finance5(B, A) => m1_subset_1(B, k1_zfmisc_1(k1_numbers))) ) ) ) ).
fof(existence_m1_finance5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (? [B] : m1_finance5(B, A)) ) ) ).
fof(dt_k3_finance5, axiom,  (! [A, B, C] :  ( (v1_xreal_0(A) &  (m1_finance5(B, A) & m1_subset_1(C, k12_prob_1)) )  => m2_subset_1(k3_finance5(A, B, C), k1_zfmisc_1(k1_numbers), k12_prob_1)) ) ).
fof(dt_k4_finance5, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & m1_finance5(B, A))  =>  ( ~ (v1_xboole_0(k4_finance5(A, B)))  &  (v1_prob_1(k4_finance5(A, B), B) &  (v4_prob_1(k4_finance5(A, B), B) & m1_subset_1(k4_finance5(A, B), k1_zfmisc_1(k1_zfmisc_1(B)))) ) ) ) ) ).
fof(dt_k5_finance5, axiom,  (! [A, B, C, D, E, F, G, H, I] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_xreal_0(C) &  (m1_finance5(D, C) &  (m1_finance3(E, A, B, D) &  ( (v1_funct_1(F) &  (v1_funct_2(F, A, D) &  (v1_random_3(F, A, D, B, k4_finance5(C, D)) &  (v2_finance5(F, A, B, C, D, E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, D)))) ) ) )  &  ( (v1_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  &  (m1_subset_1(H, D) & v7_ordinal1(I)) ) ) ) ) ) ) )  => m2_subset_1(k5_finance5(A, B, C, D, E, F, G, H, I), k1_zfmisc_1(A), k10_finance3(D, A, B, E, H))) ) ).
fof(dt_k6_finance5, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_xreal_0(C) &  (m1_finance5(D, C) &  (m1_finance3(E, A, B, D) &  ( (v1_funct_1(F) &  (v1_funct_2(F, A, D) &  (v1_random_3(F, A, D, B, k4_finance5(C, D)) &  (v2_finance5(F, A, B, C, D, E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, D)))) ) ) )  &  ( (v1_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  & m1_subset_1(H, D)) ) ) ) ) ) )  =>  (v5_relat_1(k6_finance5(A, B, C, D, E, F, G, H), k10_finance3(D, A, B, E, H)) &  (v1_funct_1(k6_finance5(A, B, C, D, E, F, G, H)) &  (v1_funct_2(k6_finance5(A, B, C, D, E, F, G, H), k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(k6_finance5(A, B, C, D, E, F, G, H), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) ) ) ) ).
fof(dt_k7_finance5, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_xreal_0(C) &  (m1_finance5(D, C) &  (m1_finance3(E, A, B, D) &  (v1_funct_1(F) &  (v1_funct_2(F, A, D) &  (v1_random_3(F, A, D, B, k4_finance5(C, D)) &  (v2_finance5(F, A, B, C, D, E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, D)))) ) ) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k7_finance5(A, B, C, D, E, F)))  &  (v1_prob_1(k7_finance5(A, B, C, D, E, F), A) &  (v4_prob_1(k7_finance5(A, B, C, D, E, F), A) & m1_subset_1(k7_finance5(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ) ) ).
fof(dt_k8_finance5, axiom, m1_subset_1(k8_finance5, k1_zfmisc_1(k1_zfmisc_1(k6_numbers)))).
fof(dt_k9_finance5, axiom,  ( ~ (v1_xboole_0(k9_finance5))  &  (v1_prob_1(k9_finance5, k6_numbers) &  (v4_prob_1(k9_finance5, k6_numbers) & m1_subset_1(k9_finance5, k1_zfmisc_1(k1_zfmisc_1(k6_numbers)))) ) ) ).
fof(dt_k10_finance5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_funct_1(k10_finance5(A)) &  (v1_funct_2(k10_finance5(A), k4_ordinal1, k9_setfam_1(k6_numbers)) & m1_subset_1(k10_finance5(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k6_numbers))))) ) ) ) ).
fof(dt_k11_finance5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_funct_1(k11_finance5(A)) &  (v1_funct_2(k11_finance5(A), k4_ordinal1, k9_setfam_1(k6_numbers)) & m1_subset_1(k11_finance5(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k6_numbers))))) ) ) ) ).
fof(dt_k12_finance5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_funct_1(k12_finance5(A)) &  (v1_funct_2(k12_finance5(A), k4_ordinal1, k9_setfam_1(k6_numbers)) & m1_subset_1(k12_finance5(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k6_numbers))))) ) ) ) ).
fof(dt_k13_finance5, axiom,  (! [A] :  (m1_subset_1(A, k9_finance5) => m2_subset_1(k13_finance5(A), k1_zfmisc_1(k6_numbers), k9_finance5)) ) ).
fof(dt_k14_finance5, axiom,  ( ~ (v1_xboole_0(k14_finance5))  &  (v1_prob_1(k14_finance5, k1_xxreal_1(k5_numbers, k1_xxreal_0)) &  (v4_prob_1(k14_finance5, k1_xxreal_1(k5_numbers, k1_xxreal_0)) & m1_subset_1(k14_finance5, k1_zfmisc_1(k1_zfmisc_1(k1_xxreal_1(k5_numbers, k1_xxreal_0))))) ) ) ).
fof(dt_k15_finance5, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  &  (m1_finance3(D, A, B, C) &  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k1_xxreal_1(k5_numbers, k1_xxreal_0)) &  (v1_random_3(E, A, k1_xxreal_1(k5_numbers, k1_xxreal_0), B, k14_finance5) &  (v3_finance5(E, A, B, C, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_xxreal_1(k5_numbers, k1_xxreal_0))))) ) ) )  &  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  &  (m1_subset_1(G, C) & v7_ordinal1(H)) ) ) ) ) ) )  => m2_subset_1(k15_finance5(A, B, C, D, E, F, G, H), k1_zfmisc_1(A), k10_finance3(C, A, B, D, G))) ) ).
fof(dt_k16_finance5, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  &  (m1_finance3(D, A, B, C) &  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k1_xxreal_1(k5_numbers, k1_xxreal_0)) &  (v1_random_3(E, A, k1_xxreal_1(k5_numbers, k1_xxreal_0), B, k14_finance5) &  (v3_finance5(E, A, B, C, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_xxreal_1(k5_numbers, k1_xxreal_0))))) ) ) )  &  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  & m1_subset_1(G, C)) ) ) ) ) )  =>  (v5_relat_1(k16_finance5(A, B, C, D, E, F, G), k10_finance3(C, A, B, D, G)) &  (v1_funct_1(k16_finance5(A, B, C, D, E, F, G)) &  (v1_funct_2(k16_finance5(A, B, C, D, E, F, G), k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(k16_finance5(A, B, C, D, E, F, G), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) ) ) ) ).
fof(dt_k17_finance5, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  &  (m1_finance3(D, A, B, C) &  (v1_funct_1(E) &  (v1_funct_2(E, A, k1_xxreal_1(k5_numbers, k1_xxreal_0)) &  (v1_random_3(E, A, k1_xxreal_1(k5_numbers, k1_xxreal_0), B, k14_finance5) &  (v3_finance5(E, A, B, C, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_xxreal_1(k5_numbers, k1_xxreal_0))))) ) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k17_finance5(A, B, C, D, E)))  &  (v1_prob_1(k17_finance5(A, B, C, D, E), A) &  (v4_prob_1(k17_finance5(A, B, C, D, E), A) & m1_subset_1(k17_finance5(A, B, C, D, E), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ) ) ).
fof(t1_finance5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  => a_4_0_finance5(A, B, C, D)=k8_relset_1(A, B, D, C)) ) ) ) ) ) ) ) ).
fof(d6_finance5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_finance5(B, A) => k4_finance5(A, B)=a_2_0_finance5(A, B)) ) ) ) ).
fof(d7_finance5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_finance5(D, C) =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, D) &  (v1_random_3(F, A, D, B, k4_finance5(C, D)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, D)))) ) )  =>  (r2_finance5(A, B, C, D, E, F) <=>  (! [G] :  (m2_subset_1(G, k1_numbers, D) => r2_tarski(a_6_0_finance5(A, B, C, D, F, G), k1_funct_1(E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_finance5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_finance5(D, C) =>  (! [E] :  (m1_finance3(E, A, B, D) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, D) &  (v1_random_3(F, A, D, B, k4_finance5(C, D)) &  (v2_finance5(F, A, B, C, D, E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, D)))) ) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (r1_tarski(k2_relset_1(k9_setfam_1(A), G), a_6_1_finance5(A, B, C, D, E, F)) =>  (! [H] :  (m2_subset_1(H, k1_numbers, D) =>  (! [I] :  (v7_ordinal1(I) => k5_finance5(A, B, C, D, E, F, G, H, I)=k8_subset_1(A, k8_nat_1(k9_setfam_1(A), k2_prob_1(A, G), I), a_7_0_finance5(A, B, C, D, E, F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_finance5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_finance5(D, C) =>  (! [E] :  (m1_finance3(E, A, B, D) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, D) &  (v1_random_3(F, A, D, B, k4_finance5(C, D)) &  (v2_finance5(F, A, B, C, D, E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, D)))) ) ) )  => k7_finance5(A, B, C, D, E, F)=a_6_1_finance5(A, B, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_finance5, axiom, k8_finance5=a_0_0_finance5).
fof(d18_finance5, axiom, k14_finance5=a_0_1_finance5).
fof(d19_finance5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & v2_membered(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k1_xxreal_1(k5_numbers, k1_xxreal_0)) &  (v1_random_3(E, A, k1_xxreal_1(k5_numbers, k1_xxreal_0), B, k14_finance5) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_xxreal_1(k5_numbers, k1_xxreal_0))))) ) )  =>  (r3_finance5(A, B, C, D, E) <=>  (! [F] :  (m1_subset_1(F, D) => r2_tarski(a_5_0_finance5(A, B, D, E, F), k1_funct_1(C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d21_finance5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  (m1_finance3(D, A, B, C) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k1_xxreal_1(k5_numbers, k1_xxreal_0)) &  (v1_random_3(E, A, k1_xxreal_1(k5_numbers, k1_xxreal_0), B, k14_finance5) &  (v3_finance5(E, A, B, C, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_xxreal_1(k5_numbers, k1_xxreal_0))))) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (r1_tarski(k2_relset_1(k9_setfam_1(A), F), a_5_1_finance5(A, B, C, D, E)) =>  (! [G] :  (m2_subset_1(G, k1_numbers, C) =>  (! [H] :  (v7_ordinal1(H) => k15_finance5(A, B, C, D, E, F, G, H)=k8_subset_1(A, k8_nat_1(k9_setfam_1(A), k2_prob_1(A, F), H), a_6_2_finance5(A, B, C, D, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d23_finance5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  (m1_finance3(D, A, B, C) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k1_xxreal_1(k5_numbers, k1_xxreal_0)) &  (v1_random_3(E, A, k1_xxreal_1(k5_numbers, k1_xxreal_0), B, k14_finance5) &  (v3_finance5(E, A, B, C, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_xxreal_1(k5_numbers, k1_xxreal_0))))) ) ) )  => k17_finance5(A, B, C, D, E)=a_5_1_finance5(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_finance5, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  (v1_funct_1(E) &  (v1_funct_2(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C)))) ) ) ) )  =>  (r2_hidden(A, a_4_0_finance5(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, B) &  (A=F & r2_tarski(k3_funct_2(B, C, E, F), D)) ) ) ) ) ) ).
fof(fraenkel_a_2_0_finance5, axiom,  (! [A, B, C] :  ( (v1_xreal_0(B) & m1_finance5(C, B))  =>  (r2_hidden(A, a_2_0_finance5(B, C)) <=>  (? [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_numbers), k12_prob_1) & A=k3_finance5(B, C, D)) ) ) ) ) ).
fof(fraenkel_a_6_0_finance5, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  (v1_xreal_0(D) &  (m1_finance5(E, D) &  ( (v1_funct_1(F) &  (v1_funct_2(F, B, E) &  (v1_random_3(F, B, E, C, k4_finance5(D, E)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, E)))) ) )  & m2_subset_1(G, k1_numbers, E)) ) ) ) )  =>  (r2_hidden(A, a_6_0_finance5(B, C, D, E, F, G)) <=>  (? [H] :  (m1_subset_1(H, B) &  (A=H & r1_xxreal_0(k3_funct_2(B, E, F, H), G)) ) ) ) ) ) ).
fof(fraenkel_a_6_1_finance5, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  (v1_xreal_0(D) &  (m1_finance5(E, D) &  (m1_finance3(F, B, C, E) &  (v1_funct_1(G) &  (v1_funct_2(G, B, E) &  (v1_random_3(G, B, E, C, k4_finance5(D, E)) &  (v2_finance5(G, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(B, E)))) ) ) ) ) ) ) ) )  =>  (r2_hidden(A, a_6_1_finance5(B, C, D, E, F, G)) <=>  (? [H] :  (m2_subset_1(H, k1_zfmisc_1(B), C) &  (A=H &  (! [I] :  (m2_subset_1(I, k1_numbers, E) => r2_tarski(k8_subset_1(B, H, a_7_0_finance5(B, C, D, E, F, G, I)), k13_prob_1(B, E, C, F, I))) ) ) ) ) ) ) ) ).
fof(fraenkel_a_7_0_finance5, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  (v1_xreal_0(D) &  (m1_finance5(E, D) &  (m1_finance3(F, B, C, E) &  ( (v1_funct_1(G) &  (v1_funct_2(G, B, E) &  (v1_random_3(G, B, E, C, k4_finance5(D, E)) &  (v2_finance5(G, B, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(B, E)))) ) ) )  & m2_subset_1(H, k1_numbers, E)) ) ) ) ) )  =>  (r2_hidden(A, a_7_0_finance5(B, C, D, E, F, G, H)) <=>  (? [I] :  (m1_subset_1(I, B) &  (A=I & r1_xxreal_0(k3_funct_2(B, E, G, I), H)) ) ) ) ) ) ).
fof(fraenkel_a_0_0_finance5, axiom,  (! [A] :  (r2_hidden(A, a_0_0_finance5) <=>  (? [B] :  (v1_xreal_0(B) & A=k1_xxreal_1(k2_xxreal_0, B)) ) ) ) ).
fof(fraenkel_a_0_1_finance5, axiom,  (! [A] :  (r2_hidden(A, a_0_1_finance5) <=>  (? [B] :  (m2_subset_1(B, k1_zfmisc_1(k6_numbers), k9_finance5) & A=k13_finance5(B)) ) ) ) ).
fof(fraenkel_a_5_0_finance5, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( ( ~ (v1_xboole_0(D))  & v2_membered(D))  &  ( (v1_funct_1(E) &  (v1_funct_2(E, B, k1_xxreal_1(k5_numbers, k1_xxreal_0)) &  (v1_random_3(E, B, k1_xxreal_1(k5_numbers, k1_xxreal_0), C, k14_finance5) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k1_xxreal_1(k5_numbers, k1_xxreal_0))))) ) )  & m1_subset_1(F, D)) ) ) )  =>  (r2_hidden(A, a_5_0_finance5(B, C, D, E, F)) <=>  (? [G] :  (m1_subset_1(G, B) &  (A=G & r1_xxreal_0(k3_funct_2(B, k1_xxreal_1(k5_numbers, k1_xxreal_0), E, G), F)) ) ) ) ) ) ).
fof(fraenkel_a_5_1_finance5, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  &  (m1_finance3(E, B, C, D) &  (v1_funct_1(F) &  (v1_funct_2(F, B, k1_xxreal_1(k5_numbers, k1_xxreal_0)) &  (v1_random_3(F, B, k1_xxreal_1(k5_numbers, k1_xxreal_0), C, k14_finance5) &  (v3_finance5(F, B, C, D, E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, k1_xxreal_1(k5_numbers, k1_xxreal_0))))) ) ) ) ) ) ) )  =>  (r2_hidden(A, a_5_1_finance5(B, C, D, E, F)) <=>  (? [G] :  (m2_subset_1(G, k1_zfmisc_1(B), C) &  (A=G &  (! [H] :  (m2_subset_1(H, k1_numbers, D) => r2_tarski(k8_subset_1(B, G, a_6_2_finance5(B, C, D, E, F, H)), k13_prob_1(B, D, C, E, H))) ) ) ) ) ) ) ) ).
fof(fraenkel_a_6_2_finance5, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  &  (m1_finance3(E, B, C, D) &  ( (v1_funct_1(F) &  (v1_funct_2(F, B, k1_xxreal_1(k5_numbers, k1_xxreal_0)) &  (v1_random_3(F, B, k1_xxreal_1(k5_numbers, k1_xxreal_0), C, k14_finance5) &  (v3_finance5(F, B, C, D, E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, k1_xxreal_1(k5_numbers, k1_xxreal_0))))) ) ) )  & m2_subset_1(G, k1_numbers, D)) ) ) ) )  =>  (r2_hidden(A, a_6_2_finance5(B, C, D, E, F, G)) <=>  (? [H] :  (m1_subset_1(H, B) &  (A=H & r1_xxreal_0(k3_funct_2(B, k1_xxreal_1(k5_numbers, k1_xxreal_0), F, H), G)) ) ) ) ) ) ).
fof(fc1_finance6, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) )  =>  ~ (v1_xboole_0(k5_finance6(A, B))) ) ) ).
fof(fc2_finance6, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) )  =>  ~ (v1_xboole_0(k6_finance6(A, B))) ) ) ).
fof(fc3_finance6, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) )  => v1_finance6(k5_finance6(A, B), A, B)) ) ).
fof(fc4_finance6, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) )  => v1_finance6(k6_finance6(A, B), A, B)) ) ).
fof(rc1_finance6, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) )  =>  (? [C] :  ( ~ (v1_xboole_0(C))  & v1_finance6(C, A, B)) ) ) ) ).
fof(t1_finance6, axiom, m2_subset_1(k2_rcomp_1(k5_numbers, k1_xxreal_0), k1_zfmisc_1(k1_numbers), k12_prob_1)).
fof(t2_finance6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v1_random_3(C, A, k1_numbers, B, k12_prob_1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  (m1_subset_1(D, k1_numbers) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (r1_funct_2(A, k1_numbers, A, k2_tarski(k5_ordinal1, 1), E, k5_funct_3(k8_relset_1(A, k1_numbers, k47_valued_1(A, k1_numbers, k1_numbers, C, k8_funcop_1(k1_numbers, A, D)), k3_rcomp_1(k5_numbers, k1_xxreal_0)), A)) => r2_funct_2(A, k1_numbers, k7_finance3(A, B, C, D), k20_valued_1(A, k1_numbers, k1_numbers, E, k47_valued_1(A, k1_numbers, k1_numbers, C, k8_funcop_1(k1_numbers, A, D))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_finance6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v1_random_3(C, A, k1_numbers, B, k12_prob_1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  (v1_xreal_0(D) =>  (v1_funct_1(k47_valued_1(A, k1_tarski(D), k1_numbers, k7_funcop_1(A, D), C)) &  (v1_funct_2(k47_valued_1(A, k1_tarski(D), k1_numbers, k7_funcop_1(A, D), C), A, k1_numbers) &  (v1_random_3(k47_valued_1(A, k1_tarski(D), k1_numbers, k7_funcop_1(A, D), C), A, k1_numbers, B, k12_prob_1) & m1_subset_1(k47_valued_1(A, k1_tarski(D), k1_numbers, k7_funcop_1(A, D), C), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_finance6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(A), B) =>  (v1_funct_1(k5_funct_3(C, A)) &  (v1_funct_2(k5_funct_3(C, A), A, k1_numbers) &  (v1_random_3(k5_funct_3(C, A), A, k1_numbers, B, k12_prob_1) & m1_subset_1(k5_funct_3(C, A), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ) ) ) ) ).
fof(t5_finance6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  => r1_finance1(A, k1_numbers, B, k12_prob_1, k5_funct_3(A, A))) ) ) ) ).
fof(t6_finance6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v1_random_3(C, A, k1_numbers, B, k12_prob_1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) &  (v1_random_3(D, A, k1_numbers, B, k12_prob_1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [E] :  (v1_xreal_0(E) => m2_subset_1(k8_relset_1(A, k1_numbers, k47_valued_1(A, k1_numbers, k1_numbers, C, D), k3_rcomp_1(k5_numbers, k1_xxreal_0)), k1_zfmisc_1(A), B)) ) ) ) ) ) ) ) ) ) ).
fof(d1_finance6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v1_random_3(C, A, k1_numbers, B, k12_prob_1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (E=k2_finance6(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, A) =>  ( (r1_xxreal_0(k5_numbers, k3_funct_2(A, k1_numbers, k47_valued_1(A, k1_tarski(D), k1_numbers, k7_funcop_1(A, D), C), F)) => k3_funct_2(A, k1_numbers, E, F)=k3_funct_2(A, k1_numbers, k47_valued_1(A, k1_tarski(D), k1_numbers, k7_funcop_1(A, D), C), F))  &  ( ~ (r1_xxreal_0(k5_numbers, k3_funct_2(A, k1_numbers, k47_valued_1(A, k1_tarski(D), k1_numbers, k7_funcop_1(A, D), C), F)))  => k3_funct_2(A, k1_numbers, E, F)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_finance6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v1_random_3(C, A, k1_numbers, B, k12_prob_1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (r1_funct_2(A, k1_numbers, A, k2_tarski(k5_ordinal1, 1), E, k5_funct_3(k8_relset_1(A, k1_numbers, k47_valued_1(A, k1_tarski(D), k1_numbers, k7_funcop_1(A, D), C), k3_rcomp_1(k5_numbers, k1_xxreal_0)), A)) => r2_funct_2(A, k1_numbers, k2_finance6(A, B, C, D), k20_valued_1(A, k1_numbers, k1_numbers, E, k47_valued_1(A, k1_tarski(D), k1_numbers, k7_funcop_1(A, D), C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_finance6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v1_random_3(C, A, k1_numbers, B, k12_prob_1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  (v1_xreal_0(D) => k4_finance6(A, B, C, D)=k3_valued_1(A, k1_numbers, k1_numbers, k3_finance6(A, B, C, D), k1_finance6(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t8_finance6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v1_random_3(C, A, k1_numbers, B, k12_prob_1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, A) => k3_funct_2(A, k1_numbers, k4_finance6(A, B, C, D), E)=k9_complex1(k3_funct_2(A, k1_numbers, k47_valued_1(A, k1_numbers, k1_tarski(D), C, k7_funcop_1(A, D)), E))) ) ) ) ) ) ) ) ) ) ).
fof(d5_finance6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (v1_finance6(C, A, B) <=>  (! [D] :  ~ ( (r2_hidden(D, C) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  ~ ( (E=D & r1_finance1(A, k1_numbers, B, k12_prob_1, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_finance6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v1_finance6(C, A, B))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, C)))) )  =>  (! [E] :  (v7_ordinal1(E) => k7_finance6(A, B, C, D, E)=k8_nat_1(C, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(d7_finance6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v1_finance6(C, A, B))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, C)))) )  =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (F=k8_finance6(A, B, C, D, E) <=>  (! [G] :  (v7_ordinal1(G) => k8_nat_1(k1_numbers, F, G)=k3_funct_2(A, k1_numbers, k7_finance6(A, B, C, D, G), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_finance6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v1_finance6(C, A, B))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & v1_finance6(D, A, B))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, C)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, D)))) )  =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, A, k1_numbers) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (H=k9_finance6(A, B, C, D, E, F, G) <=>  (! [I] :  (m1_subset_1(I, A) => k3_funct_2(A, k1_numbers, H, I)=k8_nat_1(k1_numbers, k3_series_1(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_finance6(A, B, D, F, I), k8_finance6(A, B, C, E, I))), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_finance6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k6_finance1(A, k1_numbers, B, k12_prob_1)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_finance1(A, k1_numbers, B, k12_prob_1))))) )  => k11_finance6(A, B, C, D)=k8_nat_1(k6_finance1(A, k1_numbers, B, k12_prob_1), D, C)) ) ) ) ) ) ) ) ).
fof(d10_finance6, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k6_finance1(B, k1_numbers, C, k12_prob_1)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_finance1(B, k1_numbers, C, k12_prob_1))))) )  =>  (! [E] :  (v7_ordinal1(E) => k12_finance6(A, B, C, D, E)=k8_relset_1(B, k1_numbers, k2_finance3(B, C, k6_finance1(B, k1_numbers, C, k12_prob_1), D, A, E), k3_rcomp_1(k5_numbers, k1_xxreal_0))) ) ) ) ) ) ) ) ) ) ).
fof(d11_finance6, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k6_finance1(B, k1_numbers, C, k12_prob_1)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_finance1(B, k1_numbers, C, k12_prob_1))))) )  =>  (! [E] :  (v7_ordinal1(E) => k13_finance6(A, B, C, D, E)=k8_relset_1(B, k1_numbers, k2_finance3(B, C, k6_finance1(B, k1_numbers, C, k12_prob_1), D, A, E), k2_rcomp_1(k5_numbers, k1_xxreal_0))) ) ) ) ) ) ) ) ) ) ).
fof(d12_finance6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k6_finance1(A, k1_numbers, B, k12_prob_1)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_finance1(A, k1_numbers, B, k12_prob_1))))) )  =>  (! [E] :  (m1_finance1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (r1_finance6(A, B, C, D, E, F) <=>  (? [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  (r1_xxreal_0(k4_finance1(F, G, E), k5_numbers) &  (k3_funct_2(B, k1_numbers, C, k12_finance6(G, A, B, D, F))=1 &  ~ (r1_xxreal_0(k3_funct_2(B, k1_numbers, C, k13_finance6(G, A, B, D, F)), k5_numbers)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_finance6, axiom,  (! [A] :  (v1_xreal_0(A) => k14_finance6(A)=k7_funcop_1(k2_enumset1(1, 2, 3, 4), A)) ) ).
fof(d14_finance6, axiom,  (! [A] :  (m1_finance1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) => k15_finance6(A, B, C)=k14_finance6(k4_xxreal_3(k8_nat_1(k1_numbers, A, C), k1_xxreal_3(1, B)))) ) ) ) ) ) ).
fof(t9_finance6, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_finance1(k2_enumset1(1, 2, 3, 4), k1_numbers, k8_finance3, k12_prob_1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_finance1(k2_enumset1(1, 2, 3, 4), k1_numbers, k8_finance3, k12_prob_1))))) )  &  (k8_nat_1(k6_finance1(k2_enumset1(1, 2, 3, 4), k1_numbers, k8_finance3, k12_prob_1), A, k5_numbers)=k8_funcop_1(k4_ordinal1, k2_enumset1(1, 2, 3, 4), 1) &  (k8_nat_1(k6_finance1(k2_enumset1(1, 2, 3, 4), k1_numbers, k8_finance3, k12_prob_1), A, 1)=k8_funcop_1(k4_ordinal1, k2_enumset1(1, 2, 3, 4), 5) &  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(B, 1))  => k8_nat_1(k6_finance1(k2_enumset1(1, 2, 3, 4), k1_numbers, k8_finance3, k12_prob_1), A, B)=k8_funcop_1(k4_ordinal1, k2_enumset1(1, 2, 3, 4), k5_numbers)) ) ) ) ) ) ) ).
fof(t10_finance6, axiom,  (! [A] :  (m2_prob_1(A, k2_enumset1(1, 2, 3, 4), k8_finance3) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_finance1(k2_enumset1(1, 2, 3, 4), k1_numbers, k8_finance3, k12_prob_1)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_finance1(k2_enumset1(1, 2, 3, 4), k1_numbers, k8_finance3, k12_prob_1))))) )  =>  ~ ( (k8_nat_1(k6_finance1(k2_enumset1(1, 2, 3, 4), k1_numbers, k8_finance3, k12_prob_1), B, k5_numbers)=k8_funcop_1(k4_ordinal1, k2_enumset1(1, 2, 3, 4), 1) &  (k8_nat_1(k6_finance1(k2_enumset1(1, 2, 3, 4), k1_numbers, k8_finance3, k12_prob_1), B, 1)=k8_funcop_1(k4_ordinal1, k2_enumset1(1, 2, 3, 4), 5) &  ( (! [C] :  (v7_ordinal1(C) =>  ( ~ (r1_xxreal_0(C, 1))  => k8_nat_1(k6_finance1(k2_enumset1(1, 2, 3, 4), k1_numbers, k8_finance3, k12_prob_1), B, C)=k8_funcop_1(k4_ordinal1, k2_enumset1(1, 2, 3, 4), k5_numbers)) ) )  &  (! [C] :  (m1_finance1(C) =>  ~ (r1_finance6(k2_enumset1(1, 2, 3, 4), k8_finance3, A, B, C, 1)) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_finance6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [D] :  (m1_finance1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k4_ordinal1, k6_finance1(A, k1_numbers, B, k12_prob_1)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_finance1(A, k1_numbers, B, k12_prob_1))))) )  => m1_prob_1(k8_relset_1(A, k1_numbers, k47_valued_1(A, k1_numbers, k1_tarski(k4_xxreal_3(k1_xxreal_3(1, G), k5_finance1(E, C, D))), k5_finance3(A, B, k6_finance1(A, k1_numbers, B, k12_prob_1), H, C, F), k7_funcop_1(A, k4_xxreal_3(k1_xxreal_3(1, G), k5_finance1(E, C, D)))), k3_rcomp_1(k5_numbers, k1_xxreal_0)), A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_finance6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [D] :  (m1_finance1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k4_ordinal1, k6_finance1(A, k1_numbers, B, k12_prob_1)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_finance1(A, k1_numbers, B, k12_prob_1))))) )  => m1_prob_1(k8_relset_1(A, k1_numbers, k47_valued_1(A, k1_numbers, k1_tarski(k4_xxreal_3(k1_xxreal_3(1, G), k5_finance1(E, C, D))), k5_finance3(A, B, k6_finance1(A, k1_numbers, B, k12_prob_1), H, C, F), k7_funcop_1(A, k4_xxreal_3(k1_xxreal_3(1, G), k5_finance1(E, C, D)))), k2_rcomp_1(k5_numbers, k1_xxreal_0)), A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_finance6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_finance1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (E=k3_xxreal_3(D, 1) =>  (r1_xxreal_0(D, k5_numbers) |  (! [F] :  (m2_prob_1(F, A, B) =>  (! [G] :  (v1_xreal_0(G) =>  ( ~ (r1_xxreal_0(G, k2_xxreal_3(1)))  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k4_ordinal1, k6_finance1(A, k1_numbers, B, k12_prob_1)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_finance1(A, k1_numbers, B, k12_prob_1))))) )  =>  (r1_funct_2(A, k1_numbers, A, k1_tarski(k1_xxreal_3(1, G)), k9_finance1(k5_numbers, A, k1_numbers, B, k12_prob_1, k6_finance1(A, k1_numbers, B, k12_prob_1), H), k7_funcop_1(A, k1_xxreal_3(1, G))) =>  (r1_finance6(A, B, F, H, C, D) <=>  (? [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, k4_ordinal1, k1_numbers) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  (k12_supinf_2(F, k8_relset_1(A, k1_numbers, k47_valued_1(A, k1_numbers, k1_tarski(k4_xxreal_3(k1_xxreal_3(1, G), k5_finance1(D, I, C))), k5_finance3(A, B, k6_finance1(A, k1_numbers, B, k12_prob_1), H, I, E), k7_funcop_1(A, k4_xxreal_3(k1_xxreal_3(1, G), k5_finance1(D, I, C)))), k3_rcomp_1(k5_numbers, k1_xxreal_0)))=1 &  ~ (r1_xxreal_0(k12_supinf_2(F, k8_relset_1(A, k1_numbers, k47_valued_1(A, k1_numbers, k1_tarski(k4_xxreal_3(k1_xxreal_3(1, G), k5_finance1(D, I, C))), k5_finance3(A, B, k6_finance1(A, k1_numbers, B, k12_prob_1), H, I, E), k7_funcop_1(A, k4_xxreal_3(k1_xxreal_3(1, G), k5_finance1(D, I, C)))), k2_rcomp_1(k5_numbers, k1_xxreal_0))), k5_numbers)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_finance6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_random_1(C, A, B) =>  (! [D] :  (v1_xreal_0(D) => k16_finance6(A, B, C, D)=k24_valued_1(C, k6_xxreal_3(1, k1_xxreal_3(1, D)))) ) ) ) ) ) ) ) ).
fof(d16_finance6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_finance1(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k6_finance1(A, k1_numbers, B, k12_prob_1)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_finance1(A, k1_numbers, B, k12_prob_1))))) )  =>  (! [E] :  (v1_xreal_0(E) =>  (r2_finance6(A, B, C, D, E) <=>  (? [F] :  (m2_prob_1(F, A, B) &  (! [G] :  (v7_ordinal1(G) => k8_nat_1(k1_numbers, C, G)=k8_random_1(A, B, F, k16_finance6(A, B, k11_finance6(A, B, G, D), E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_finance6, axiom,  (! [A] :  (m2_prob_1(A, k2_enumset1(1, 2, 3, 4), k9_finance3) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  =>  (! [C] :  (m1_finance1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (m1_random_1(E, k2_enumset1(1, 2, 3, 4), k9_finance3) &  (r1_funct_2(k2_enumset1(1, 2, 3, 4), k1_numbers, k2_enumset1(1, 2, 3, 4), k1_tarski(k4_xxreal_3(k8_nat_1(k1_numbers, C, D), k1_xxreal_3(1, B))), E, k7_funcop_1(k2_enumset1(1, 2, 3, 4), k4_xxreal_3(k8_nat_1(k1_numbers, C, D), k1_xxreal_3(1, B)))) &  (r3_mesfunc6(k2_enumset1(1, 2, 3, 4), k9_finance3, k2_prob_4(k2_enumset1(1, 2, 3, 4), k9_finance3, A), E) & r2_mesfunc6(k2_enumset1(1, 2, 3, 4), k9_finance3, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_finance6, axiom,  (! [A] :  (m2_prob_1(A, k2_enumset1(1, 2, 3, 4), k9_finance3) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  =>  (! [D] :  (m1_finance1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (m1_random_1(F, k2_enumset1(1, 2, 3, 4), k9_finance3) =>  ( (r1_funct_2(k2_enumset1(1, 2, 3, 4), k1_numbers, k2_enumset1(1, 2, 3, 4), k1_tarski(k4_xxreal_3(k8_nat_1(k1_numbers, D, E), k1_xxreal_3(1, C))), F, k7_funcop_1(k2_enumset1(1, 2, 3, 4), k4_xxreal_3(k8_nat_1(k1_numbers, D, E), k1_xxreal_3(1, C)))) &  (r3_mesfunc6(k2_enumset1(1, 2, 3, 4), k9_finance3, k2_prob_4(k2_enumset1(1, 2, 3, 4), k9_finance3, A), F) & r2_mesfunc6(k2_enumset1(1, 2, 3, 4), k9_finance3, F)) )  => k8_nat_1(k1_numbers, D, E)=k8_random_1(k2_enumset1(1, 2, 3, 4), k9_finance3, A, k16_finance6(k2_enumset1(1, 2, 3, 4), k9_finance3, F, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_finance6, axiom,  (! [A] :  (m2_prob_1(A, k2_enumset1(1, 2, 3, 4), k9_finance3) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  =>  (! [C] :  (m1_finance1(C) =>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k6_finance1(k2_enumset1(1, 2, 3, 4), k1_numbers, k9_finance3, k12_prob_1)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_finance1(k2_enumset1(1, 2, 3, 4), k1_numbers, k9_finance3, k12_prob_1))))) )  &  (! [E] :  (v7_ordinal1(E) =>  (k8_nat_1(k6_finance1(k2_enumset1(1, 2, 3, 4), k1_numbers, k9_finance3, k12_prob_1), D, E)=k7_funcop_1(k2_enumset1(1, 2, 3, 4), k4_xxreal_3(k8_nat_1(k1_numbers, C, E), k1_xxreal_3(1, B))) &  (r3_mesfunc6(k2_enumset1(1, 2, 3, 4), k9_finance3, k2_prob_4(k2_enumset1(1, 2, 3, 4), k9_finance3, A), k11_finance6(k2_enumset1(1, 2, 3, 4), k9_finance3, E, D)) & r2_mesfunc6(k2_enumset1(1, 2, 3, 4), k9_finance3, k11_finance6(k2_enumset1(1, 2, 3, 4), k9_finance3, E, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_finance6, axiom,  (! [A] :  (m2_prob_1(A, k2_enumset1(1, 2, 3, 4), k9_finance3) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  =>  (! [C] :  (m1_finance1(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k6_finance1(k2_enumset1(1, 2, 3, 4), k1_numbers, k9_finance3, k12_prob_1)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_finance1(k2_enumset1(1, 2, 3, 4), k1_numbers, k9_finance3, k12_prob_1))))) )  =>  ( (! [E] :  (v7_ordinal1(E) =>  (k8_nat_1(k6_finance1(k2_enumset1(1, 2, 3, 4), k1_numbers, k9_finance3, k12_prob_1), D, E)=k7_funcop_1(k2_enumset1(1, 2, 3, 4), k4_xxreal_3(k8_nat_1(k1_numbers, C, E), k1_xxreal_3(1, B))) &  (r3_mesfunc6(k2_enumset1(1, 2, 3, 4), k9_finance3, k2_prob_4(k2_enumset1(1, 2, 3, 4), k9_finance3, A), k11_finance6(k2_enumset1(1, 2, 3, 4), k9_finance3, E, D)) & r2_mesfunc6(k2_enumset1(1, 2, 3, 4), k9_finance3, k11_finance6(k2_enumset1(1, 2, 3, 4), k9_finance3, E, D))) ) ) )  =>  (r2_finance6(k2_enumset1(1, 2, 3, 4), k9_finance3, C, D, B) &  (! [E] :  (v7_ordinal1(E) => k8_nat_1(k1_numbers, C, E)=k8_random_1(k2_enumset1(1, 2, 3, 4), k9_finance3, A, k16_finance6(k2_enumset1(1, 2, 3, 4), k9_finance3, k11_finance6(k2_enumset1(1, 2, 3, 4), k9_finance3, E, D), B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_finance6, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v1_random_3(C, A, k1_numbers, B, k12_prob_1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  & v1_xreal_0(D)) ) )  =>  (v1_funct_1(k1_finance6(A, B, C, D)) &  (v1_funct_2(k1_finance6(A, B, C, D), A, k1_numbers) &  (v1_random_3(k1_finance6(A, B, C, D), A, k1_numbers, B, k12_prob_1) & m1_subset_1(k1_finance6(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ).
fof(redefinition_k1_finance6, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v1_random_3(C, A, k1_numbers, B, k12_prob_1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  & v1_xreal_0(D)) ) )  => k1_finance6(A, B, C, D)=k7_finance3(A, B, C, D)) ) ).
fof(dt_k2_finance6, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v1_random_3(C, A, k1_numbers, B, k12_prob_1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  & v1_xreal_0(D)) ) )  =>  (v1_funct_1(k2_finance6(A, B, C, D)) &  (v1_funct_2(k2_finance6(A, B, C, D), A, k1_numbers) & m1_subset_1(k2_finance6(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ).
fof(dt_k3_finance6, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v1_random_3(C, A, k1_numbers, B, k12_prob_1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  & v1_xreal_0(D)) ) )  =>  (v1_funct_1(k3_finance6(A, B, C, D)) &  (v1_funct_2(k3_finance6(A, B, C, D), A, k1_numbers) &  (v1_random_3(k3_finance6(A, B, C, D), A, k1_numbers, B, k12_prob_1) & m1_subset_1(k3_finance6(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ).
fof(redefinition_k3_finance6, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v1_random_3(C, A, k1_numbers, B, k12_prob_1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  & v1_xreal_0(D)) ) )  => k3_finance6(A, B, C, D)=k2_finance6(A, B, C, D)) ) ).
fof(dt_k4_finance6, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v1_random_3(C, A, k1_numbers, B, k12_prob_1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  & v1_xreal_0(D)) ) )  =>  (v1_funct_1(k4_finance6(A, B, C, D)) &  (v1_funct_2(k4_finance6(A, B, C, D), A, k1_numbers) &  (v1_random_3(k4_finance6(A, B, C, D), A, k1_numbers, B, k12_prob_1) & m1_subset_1(k4_finance6(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ).
fof(dt_k7_finance6, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ( ~ (v1_xboole_0(C))  & v1_finance6(C, A, B))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, C)))) )  & v7_ordinal1(E)) ) ) )  =>  (v1_funct_1(k7_finance6(A, B, C, D, E)) &  (v1_funct_2(k7_finance6(A, B, C, D, E), A, k1_numbers) &  (v1_random_3(k7_finance6(A, B, C, D, E), A, k1_numbers, B, k12_prob_1) & m1_subset_1(k7_finance6(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ).
fof(dt_k8_finance6, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ( ~ (v1_xboole_0(C))  & v1_finance6(C, A, B))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, C)))) )  & m1_subset_1(E, A)) ) ) )  =>  (v1_funct_1(k8_finance6(A, B, C, D, E)) &  (v1_funct_2(k8_finance6(A, B, C, D, E), k4_ordinal1, k1_numbers) & m1_subset_1(k8_finance6(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k9_finance6, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ( ~ (v1_xboole_0(C))  & v1_finance6(C, A, B))  &  ( ( ~ (v1_xboole_0(D))  & v1_finance6(D, A, B))  &  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, C)))) )  &  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, D)))) )  & v7_ordinal1(G)) ) ) ) ) )  =>  (v1_funct_1(k9_finance6(A, B, C, D, E, F, G)) &  (v1_funct_2(k9_finance6(A, B, C, D, E, F, G), A, k1_numbers) & m1_subset_1(k9_finance6(A, B, C, D, E, F, G), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ).
fof(dt_k10_finance6, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ( ~ (v1_xboole_0(C))  & v1_finance6(C, A, B))  &  ( ( ~ (v1_xboole_0(D))  & v1_finance6(D, A, B))  &  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, C)))) )  &  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, D)))) )  & v7_ordinal1(G)) ) ) ) ) )  =>  (v1_funct_1(k10_finance6(A, B, C, D, E, F, G)) &  (v1_funct_2(k10_finance6(A, B, C, D, E, F, G), A, k1_numbers) &  (v1_random_3(k10_finance6(A, B, C, D, E, F, G), A, k1_numbers, B, k12_prob_1) & m1_subset_1(k10_finance6(A, B, C, D, E, F, G), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ).
fof(redefinition_k10_finance6, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ( ~ (v1_xboole_0(C))  & v1_finance6(C, A, B))  &  ( ( ~ (v1_xboole_0(D))  & v1_finance6(D, A, B))  &  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, C)))) )  &  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, D)))) )  & v7_ordinal1(G)) ) ) ) ) )  => k10_finance6(A, B, C, D, E, F, G)=k9_finance6(A, B, C, D, E, F, G)) ) ).
fof(dt_k11_finance6, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v7_ordinal1(C) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k6_finance1(A, k1_numbers, B, k12_prob_1)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_finance1(A, k1_numbers, B, k12_prob_1))))) ) ) ) )  => m1_random_1(k11_finance6(A, B, C, D), A, B)) ) ).
fof(dt_k12_finance6, axiom,  (! [A, B, C, D, E] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k6_finance1(B, k1_numbers, C, k12_prob_1)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_finance1(B, k1_numbers, C, k12_prob_1))))) )  & v7_ordinal1(E)) ) ) )  => m2_subset_1(k12_finance6(A, B, C, D, E), k1_zfmisc_1(B), C)) ) ).
fof(dt_k13_finance6, axiom,  (! [A, B, C, D, E] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k6_finance1(B, k1_numbers, C, k12_prob_1)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_finance1(B, k1_numbers, C, k12_prob_1))))) )  & v7_ordinal1(E)) ) ) )  => m2_subset_1(k13_finance6(A, B, C, D, E), k1_zfmisc_1(B), C)) ) ).
fof(dt_k14_finance6, axiom,  (! [A] :  (v1_xreal_0(A) => m1_subset_1(k14_finance6(A), k6_finance1(k2_enumset1(1, 2, 3, 4), k1_numbers, k8_finance3, k12_prob_1))) ) ).
fof(dt_k15_finance6, axiom,  (! [A, B, C] :  ( (m1_finance1(A) &  (v1_xreal_0(B) & v7_ordinal1(C)) )  => m1_subset_1(k15_finance6(A, B, C), k6_finance1(k2_enumset1(1, 2, 3, 4), k1_numbers, k9_finance3, k12_prob_1))) ) ).
fof(dt_k16_finance6, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m1_random_1(C, A, B) & v1_xreal_0(D)) ) )  => m1_random_1(k16_finance6(A, B, C, D), A, B)) ) ).
fof(d3_finance6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  => k5_finance6(A, B)=a_2_0_finance6(A, B)) ) ) ) ).
fof(d4_finance6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  => k6_finance6(A, B)=a_2_1_finance6(A, B)) ) ) ) ).
fof(t11_finance6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k6_finance1(A, k1_numbers, B, k12_prob_1)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_finance1(A, k1_numbers, B, k12_prob_1))))) )  => a_5_0_finance6(A, B, C, D, F)=k8_relset_1(A, k1_numbers, k2_finance3(A, B, k6_finance1(A, k1_numbers, B, k12_prob_1), F, C, D), k3_rcomp_1(k5_numbers, k1_xxreal_0))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_finance6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [D] :  (m1_finance1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (F=k3_xxreal_3(E, 1) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k4_ordinal1, k6_finance1(A, k1_numbers, B, k12_prob_1)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_finance1(A, k1_numbers, B, k12_prob_1))))) )  => a_7_0_finance6(A, B, C, D, E, G, H)=k8_relset_1(A, k1_numbers, k47_valued_1(A, k1_numbers, k1_tarski(k4_xxreal_3(k1_xxreal_3(1, G), k5_finance1(E, C, D))), k5_finance3(A, B, k6_finance1(A, k1_numbers, B, k12_prob_1), H, C, F), k7_funcop_1(A, k4_xxreal_3(k1_xxreal_3(1, G), k5_finance1(E, C, D)))), k3_rcomp_1(k5_numbers, k1_xxreal_0))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_finance6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k6_finance1(A, k1_numbers, B, k12_prob_1)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_finance1(A, k1_numbers, B, k12_prob_1))))) )  => a_5_1_finance6(A, B, C, D, F)=k8_relset_1(A, k1_numbers, k2_finance3(A, B, k6_finance1(A, k1_numbers, B, k12_prob_1), F, C, D), k2_rcomp_1(k5_numbers, k1_xxreal_0))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_finance6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [D] :  (m1_finance1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (F=k3_xxreal_3(E, 1) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k4_ordinal1, k6_finance1(A, k1_numbers, B, k12_prob_1)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_finance1(A, k1_numbers, B, k12_prob_1))))) )  => a_7_1_finance6(A, B, C, D, E, G, H)=k8_relset_1(A, k1_numbers, k47_valued_1(A, k1_numbers, k1_tarski(k4_xxreal_3(k1_xxreal_3(1, G), k5_finance1(E, C, D))), k5_finance3(A, B, k6_finance1(A, k1_numbers, B, k12_prob_1), H, C, F), k7_funcop_1(A, k4_xxreal_3(k1_xxreal_3(1, G), k5_finance1(E, C, D)))), k2_rcomp_1(k5_numbers, k1_xxreal_0))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_finance6, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) ) )  =>  (r2_hidden(A, a_2_0_finance6(B, C)) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  &  (A=D &  (r1_finance1(B, k1_numbers, C, k12_prob_1, D) & v3_funct_1(D)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_finance6, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) ) )  =>  (r2_hidden(A, a_2_1_finance6(B, C)) <=>  (? [D] :  (m2_subset_1(D, k1_zfmisc_1(B), C) &  (A=k5_funct_3(D, B) & r1_finance1(B, k1_numbers, C, k12_prob_1, k5_funct_3(D, B))) ) ) ) ) ) ).
fof(fraenkel_a_5_0_finance6, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  (v7_ordinal1(E) &  (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k6_finance1(B, k1_numbers, C, k12_prob_1)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_finance1(B, k1_numbers, C, k12_prob_1))))) ) ) ) ) )  =>  (r2_hidden(A, a_5_0_finance6(B, C, D, E, F)) <=>  (? [G] :  (m1_subset_1(G, B) &  (A=G & r1_xxreal_0(k5_numbers, k1_finance3(E, D, B, C, k6_finance1(B, k1_numbers, C, k12_prob_1), F, G))) ) ) ) ) ) ).
fof(fraenkel_a_7_0_finance6, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  (m1_finance1(E) &  (v7_ordinal1(F) &  (v1_xreal_0(G) &  (v1_funct_1(H) &  (v1_funct_2(H, k4_ordinal1, k6_finance1(B, k1_numbers, C, k12_prob_1)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_finance1(B, k1_numbers, C, k12_prob_1))))) ) ) ) ) ) ) )  =>  (r2_hidden(A, a_7_0_finance6(B, C, D, E, F, G, H)) <=>  (? [I] :  (m1_subset_1(I, B) &  (A=I & r1_xxreal_0(k4_xxreal_3(k1_xxreal_3(1, G), k5_finance1(F, D, E)), k4_finance3(F, D, B, C, k6_finance1(B, k1_numbers, C, k12_prob_1), H, I))) ) ) ) ) ) ).
fof(fraenkel_a_5_1_finance6, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  (v7_ordinal1(E) &  (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k6_finance1(B, k1_numbers, C, k12_prob_1)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_finance1(B, k1_numbers, C, k12_prob_1))))) ) ) ) ) )  =>  (r2_hidden(A, a_5_1_finance6(B, C, D, E, F)) <=>  (? [G] :  (m1_subset_1(G, B) &  (A=G &  ~ (r1_xxreal_0(k1_finance3(E, D, B, C, k6_finance1(B, k1_numbers, C, k12_prob_1), F, G), k5_numbers)) ) ) ) ) ) ) ).
fof(fraenkel_a_7_1_finance6, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  (m1_finance1(E) &  (v7_ordinal1(F) &  (v1_xreal_0(G) &  (v1_funct_1(H) &  (v1_funct_2(H, k4_ordinal1, k6_finance1(B, k1_numbers, C, k12_prob_1)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_finance1(B, k1_numbers, C, k12_prob_1))))) ) ) ) ) ) ) )  =>  (r2_hidden(A, a_7_1_finance6(B, C, D, E, F, G, H)) <=>  (? [I] :  (m1_subset_1(I, B) &  (A=I &  ~ (r1_xxreal_0(k4_finance3(F, D, B, C, k6_finance1(B, k1_numbers, C, k12_prob_1), H, I), k4_xxreal_3(k1_xxreal_3(1, G), k5_finance1(F, D, E)))) ) ) ) ) ) ) ).
fof(fc1_finseq_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v8_ordinal1(A))  => v1_xboole_0(k1_finseq_1(A))) ) ).
fof(fc2_finseq_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ~ (v1_xboole_0(k1_finseq_1(A))) ) ) ).
fof(cc1_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v1_finseq_1(A)) ) ) ).
fof(fc3_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_finset_1(k1_finseq_1(A))) ) ).
fof(cc2_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) ) ).
fof(fc4_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => v3_card_1(k1_finseq_1(A), A)) ) ).
fof(cc3_finseq_1, axiom,  (! [A] :  (! [B] :  (m1_finseq_1(B, A) => v5_relat_1(B, A)) ) ) ).
fof(cc4_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v1_finseq_1(A)) ) ) ).
fof(rc1_finseq_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A))) &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) ) ) ).
fof(fc5_finseq_1, axiom,  (! [A] : v1_xboole_0(k6_finseq_1(A))) ).
fof(rc2_finseq_1, axiom,  (! [A] :  (? [B] :  (m1_finseq_1(B, A) &  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_xboole_0(B) &  (v1_finset_1(B) & v1_finseq_1(B)) ) ) ) ) ) ) ) ).
fof(fc6_finseq_1, axiom,  (! [A] :  (v1_relat_1(k5_finseq_1(A)) & v1_funct_1(k5_finseq_1(A))) ) ).
fof(fc7_finseq_1, axiom,  (! [A] : v1_finseq_1(k5_finseq_1(A))) ).
fof(fc8_finseq_1, axiom,  (! [A, B] :  (v1_relat_1(k10_finseq_1(A, B)) & v1_funct_1(k10_finseq_1(A, B))) ) ).
fof(fc9_finseq_1, axiom,  (! [A, B, C] :  (v1_relat_1(k11_finseq_1(A, B, C)) & v1_funct_1(k11_finseq_1(A, B, C))) ) ).
fof(fc10_finseq_1, axiom,  (! [A, B] : v1_finseq_1(k10_finseq_1(A, B))) ).
fof(fc11_finseq_1, axiom,  (! [A, B, C] : v1_finseq_1(k11_finseq_1(A, B, C))) ).
fof(cc5_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) ) ) ).
fof(fc12_finseq_1, axiom,  (! [A] :  ~ (v1_xboole_0(k13_finseq_1(A))) ) ).
fof(rc3_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) ) ) ).
fof(cc6_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) ) ) ) ).
fof(fc13_finseq_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v2_finseq_1(k5_relat_1(A, B))) ) ) ).
fof(fc14_finseq_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  =>  (v1_relat_1(k6_relat_1(B, A)) & v2_finseq_1(k6_relat_1(B, A))) ) ) ).
fof(cc7_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v2_finseq_1(A)) ) ) ) ) ).
fof(fc15_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  =>  (v1_relat_1(k15_finseq_1(A)) &  (v1_funct_1(k15_finseq_1(A)) & v1_finseq_1(k15_finseq_1(A))) ) ) ) ).
fof(fc16_finseq_1, axiom,  (! [A] :  ~ (v1_xboole_0(k5_finseq_1(A))) ) ).
fof(rc4_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ).
fof(fc17_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  ( ~ (v1_xboole_0(k7_finseq_1(A, B)))  & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc18_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(B, A)) &  (v1_funct_1(k7_finseq_1(B, A)) &  ( ~ (v1_xboole_0(k7_finseq_1(B, A)))  & v1_finseq_1(k7_finseq_1(B, A))) ) ) ) ) ).
fof(fc19_finseq_1, axiom,  (! [A, B] :  ~ (v1_xboole_0(k10_finseq_1(A, B))) ) ).
fof(fc20_finseq_1, axiom,  (! [A, B, C] :  ~ (v1_xboole_0(k11_finseq_1(A, B, C))) ) ).
fof(fc21_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(k16_finseq_1(k5_numbers, A)) &  (v1_funct_1(k16_finseq_1(k5_numbers, A)) &  (v1_xboole_0(k16_finseq_1(k5_numbers, A)) & v1_finseq_1(k16_finseq_1(k5_numbers, A))) ) ) ) ) ).
fof(fc22_finseq_1, axiom,  (! [A] : v4_funct_1(k13_finseq_1(A))) ).
fof(rc5_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ) ).
fof(rc6_finseq_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_finseq_1(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc7_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v3_card_1(B, A) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ).
fof(fc23_finseq_1, axiom,  (! [A] : v3_card_1(k5_finseq_1(A), 1)) ).
fof(fc24_finseq_1, axiom,  (! [A, B] : v3_card_1(k10_finseq_1(A, B), 2)) ).
fof(fc25_finseq_1, axiom,  (! [A, B, C] : v3_card_1(k11_finseq_1(A, B, C), 3)) ).
fof(cc8_finseq_1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_finseq_1(A)) ) ).
fof(rc8_finseq_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v3_finseq_1(A)) ) ).
fof(fc26_finseq_1, axiom,  (! [A] : v3_finseq_1(k13_finseq_1(A))) ).
fof(cc9_finseq_1, axiom,  (! [A] :  (v3_finseq_1(A) => v4_funct_1(A)) ) ).
fof(cc10_finseq_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_finseq_1(B)) ) ) ) ).
fof(cc11_finseq_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v3_finseq_1(B)) ) ) ) ).
fof(fc27_finseq_1, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) )  &  (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, B) & v1_finseq_1(D)) ) ) ) ) )  =>  (v1_relat_1(k7_finseq_1(C, D)) &  (v1_funct_1(k7_finseq_1(C, D)) &  (v3_card_1(k7_finseq_1(C, D), k2_xcmplx_0(A, B)) & v1_finseq_1(k7_finseq_1(C, D))) ) ) ) ) ).
fof(cc12_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) &  (v5_valued_0(A) & v1_finseq_1(A)) ) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_funct_1(A) &  (v3_valued_0(A) & v1_finseq_1(A)) ) ) ) ) ) ).
fof(rc9_finseq_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ).
fof(fc28_finseq_1, axiom,  (! [A, B, C] :  ( (v3_finseq_1(A) &  (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) ) )  => v1_finseq_1(k1_funct_1(B, C))) ) ).
fof(rc10_finseq_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (? [B] :  (m1_finseq_1(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v2_funct_1(B) &  (v2_funct_2(B, A) &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc29_finseq_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (v2_funct_1(k19_finseq_1(A)) & v2_funct_2(k19_finseq_1(A), A)) ) ) ).
fof(fc30_finseq_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (v1_relat_1(k19_finseq_1(A)) &  (v1_funct_1(k19_finseq_1(A)) &  ( ~ (v1_xboole_0(k19_finseq_1(A)))  & v1_finseq_1(k19_finseq_1(A))) ) ) ) ) ).
fof(cc13_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v2_finseq_1(A)) ) ) ) ) ).
fof(t1_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_hidden(A, k1_finseq_1(B)) <=>  (r1_xxreal_0(1, A) & r1_xxreal_0(A, B)) ) ) ) ) ) ).
fof(t2_finseq_1, axiom,  (k2_finseq_1(1)=k1_tarski(1) & k2_finseq_1(2)=k2_tarski(1, 2)) ).
fof(t3_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (A=k5_numbers | r2_hidden(A, k1_finseq_1(A))) ) ) ).
fof(t4_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => r2_tarski(k1_nat_1(A, 1), k2_finseq_1(k1_nat_1(A, 1)))) ) ).
fof(t5_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(A, B) <=> r1_tarski(k1_finseq_1(A), k1_finseq_1(B))) ) ) ) ) ).
fof(t6_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (k1_finseq_1(A)=k1_finseq_1(B) => A=B) ) ) ) ) ).
fof(t7_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(C, A) => k1_finseq_1(C)=k3_xboole_0(k1_finseq_1(A), k1_finseq_1(C))) ) ) ) ) ) ) ).
fof(t8_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (k1_finseq_1(B)=k3_xboole_0(k1_finseq_1(B), k1_finseq_1(A)) => r1_xxreal_0(B, A)) ) ) ) ) ).
fof(t9_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => k2_xboole_0(k1_finseq_1(A), k1_tarski(k1_nat_1(A, 1)))=k2_finseq_1(k1_nat_1(A, 1))) ) ).
fof(t10_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => k1_finseq_1(A)=k7_subset_1(k4_ordinal1, k2_finseq_1(k1_nat_1(A, 1)), k1_tarski(k1_nat_1(A, 1)))) ) ).
fof(d2_finseq_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v1_finseq_1(A) <=>  (? [B] :  (v7_ordinal1(B) & k9_xtuple_0(A)=k2_finseq_1(B)) ) ) ) ) ).
fof(d3_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (B=k3_finseq_1(A) <=> k2_finseq_1(B)=k9_xtuple_0(A)) ) ) ) ) ).
fof(t11_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  ~ ( ( (? [B] :  (v7_ordinal1(B) & r1_tarski(k9_xtuple_0(A), k2_finseq_1(B))) )  &  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ~ (r1_tarski(A, B)) ) ) ) ) ) ) ).
fof(t12_finseq_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ~ ( (r2_hidden(A, B) &  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(C, k4_finseq_1(B)) & A=k4_tarski(C, k1_funct_1(B, C))) ) ) ) ) ) ) ) ) ).
fof(t13_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( (k4_finseq_1(A)=k4_finseq_1(B) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(A)) => k1_funct_1(A, C)=k1_funct_1(B, C)) ) ) )  => A=B) ) ) ) ) ).
fof(t14_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( (k3_finseq_1(A)=k3_finseq_1(B) &  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, k3_finseq_1(A)))  => k1_funct_1(A, C)=k1_funct_1(B, C)) ) ) )  => A=B) ) ) ) ) ).
fof(t15_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (v1_relat_1(k5_relat_1(B, k1_finseq_1(A))) &  (v1_funct_1(k5_relat_1(B, k1_finseq_1(A))) & v1_finseq_1(k5_relat_1(B, k1_finseq_1(A)))) ) ) ) ) ) ).
fof(t16_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r1_tarski(k10_xtuple_0(B), k9_xtuple_0(A)) =>  (v1_relat_1(k3_relat_1(B, A)) &  (v1_funct_1(k3_relat_1(B, A)) & v1_finseq_1(k3_relat_1(B, A))) ) ) ) ) ) ) ).
fof(t17_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ( (r1_xxreal_0(A, k3_finseq_1(B)) & C=k5_relat_1(B, k1_finseq_1(A)))  =>  (k3_finseq_1(C)=A & k4_finseq_1(C)=k1_finseq_1(A)) ) ) ) ) ) ) ) ).
fof(d4_finseq_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (m1_finseq_1(B, A) <=> r1_tarski(k10_xtuple_0(B), A)) ) ) ) ).
fof(t18_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  (m2_finseq_1(C, B) => m2_finseq_1(k2_partfun1(k4_ordinal1, B, C, k1_finseq_1(A)), B)) ) ) ) ) ).
fof(t19_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (? [C] :  (m2_finseq_1(C, B) & k3_finseq_1(C)=A) ) ) ) ) ) ).
fof(t20_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  ( ~ (A=k1_xboole_0)  <=> r1_xxreal_0(1, k3_finseq_1(A))) ) ) ).
fof(d5_finseq_1, axiom,  (! [A] : k5_finseq_1(A)=k1_tarski(k4_tarski(1, A))) ).
fof(d6_finseq_1, axiom,  (! [A] : k6_finseq_1(A)=k1_xboole_0) ).
fof(d7_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (C=k7_finseq_1(A, B) <=>  (k4_finseq_1(C)=k2_finseq_1(k1_nat_1(k3_finseq_1(A), k3_finseq_1(B))) &  ( (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(A)) => k1_funct_1(C, D)=k1_funct_1(A, D)) ) )  &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(B)) => k1_funct_1(C, k2_xcmplx_0(k3_finseq_1(A), D))=k1_funct_1(B, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => A=k5_relat_1(k7_finseq_1(A, B), k4_finseq_1(A))) ) ) ) ).
fof(t22_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => k3_finseq_1(k7_finseq_1(A, B))=k1_nat_1(k3_finseq_1(A), k3_finseq_1(B))) ) ) ) ).
fof(t23_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(k1_nat_1(k3_finseq_1(A), 1), C) & r1_xxreal_0(C, k1_nat_1(k3_finseq_1(A), k3_finseq_1(B))))  => k1_funct_1(k7_finseq_1(A, B), C)=k1_funct_1(B, k6_xcmplx_0(C, k3_finseq_1(A)))) ) ) ) ) ) ) ).
fof(t24_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(C, k3_finseq_1(k7_finseq_1(A, B))) =>  (r1_xxreal_0(C, k3_finseq_1(A)) | k1_funct_1(k7_finseq_1(A, B), C)=k1_funct_1(B, k6_xcmplx_0(C, k3_finseq_1(A)))) ) ) ) ) ) ) ) ).
fof(t25_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(C, k4_finseq_1(k7_finseq_1(A, B))) &  ( ~ (r2_tarski(C, k4_finseq_1(A)))  &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(D, k4_finseq_1(B)) & C=k2_xcmplx_0(k3_finseq_1(A), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => r1_tarski(k4_finseq_1(A), k4_finseq_1(k7_finseq_1(A, B)))) ) ) ) ).
fof(t27_finseq_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ~ ( (r2_hidden(A, k4_finseq_1(C)) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (D=A & r2_tarski(k2_xcmplx_0(k3_finseq_1(B), D), k4_finseq_1(k7_finseq_1(B, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r2_tarski(A, k4_finseq_1(C)) => r2_tarski(k2_xcmplx_0(k3_finseq_1(B), A), k4_finseq_1(k7_finseq_1(B, C)))) ) ) ) ) ) ) ).
fof(t29_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => r1_tarski(k10_xtuple_0(A), k10_xtuple_0(k7_finseq_1(A, B)))) ) ) ) ).
fof(t30_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => r1_tarski(k10_xtuple_0(B), k10_xtuple_0(k7_finseq_1(A, B)))) ) ) ) ).
fof(t31_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => k10_xtuple_0(k7_finseq_1(A, B))=k2_xboole_0(k10_xtuple_0(A), k10_xtuple_0(B))) ) ) ) ).
fof(t32_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  => k7_finseq_1(k7_finseq_1(A, B), C)=k7_finseq_1(A, k7_finseq_1(B, C))) ) ) ) ) ) ).
fof(t33_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ( (k7_finseq_1(A, C)=k7_finseq_1(B, C) | k7_finseq_1(C, A)=k7_finseq_1(C, B))  => A=B) ) ) ) ) ) ) ).
fof(t34_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (k7_finseq_1(A, k1_xboole_0)=A & k7_finseq_1(k1_xboole_0, A)=A) ) ) ).
fof(t35_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (k7_finseq_1(A, B)=k1_xboole_0 =>  (A=k1_xboole_0 & B=k1_xboole_0) ) ) ) ) ) ).
fof(d8_finseq_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (B=k9_finseq_1(A) <=>  (k9_xtuple_0(B)=k2_finseq_1(1) & k1_funct_1(B, 1)=A) ) ) ) ) ).
fof(t36_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (m2_finseq_1(k7_finseq_1(A, B), C) =>  (m2_finseq_1(A, C) & m2_finseq_1(B, C)) ) ) ) ) ) ) ).
fof(d9_finseq_1, axiom,  (! [A] :  (! [B] : k10_finseq_1(A, B)=k7_finseq_1(k9_finseq_1(A), k9_finseq_1(B))) ) ).
fof(d10_finseq_1, axiom,  (! [A] :  (! [B] :  (! [C] : k11_finseq_1(A, B, C)=k7_finseq_1(k7_finseq_1(k9_finseq_1(A), k9_finseq_1(B)), k9_finseq_1(C))) ) ) ).
fof(t37_finseq_1, axiom,  (! [A] : k9_finseq_1(A)=k1_tarski(k4_tarski(1, A))) ).
fof(t38_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (A=k9_finseq_1(B) <=>  (k4_finseq_1(A)=k2_finseq_1(1) & k10_xtuple_0(A)=k1_tarski(B)) ) ) ) ) ).
fof(t39_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (A=k9_finseq_1(B) <=>  (k3_finseq_1(A)=1 & k10_xtuple_0(A)=k1_tarski(B)) ) ) ) ) ).
fof(t40_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (A=k9_finseq_1(B) <=>  (k3_finseq_1(A)=1 & k1_funct_1(A, 1)=B) ) ) ) ) ).
fof(t41_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] : k1_funct_1(k7_finseq_1(k9_finseq_1(B), A), 1)=B) ) ) ).
fof(t42_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] : k1_funct_1(k7_finseq_1(A, k9_finseq_1(B)), k1_nat_1(k3_finseq_1(A), 1))=B) ) ) ).
fof(t43_finseq_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (k11_finseq_1(A, B, C)=k7_finseq_1(k9_finseq_1(A), k10_finseq_1(B, C)) & k11_finseq_1(A, B, C)=k7_finseq_1(k10_finseq_1(A, B), k9_finseq_1(C))) ) ) ) ).
fof(t44_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (! [C] :  (A=k10_finseq_1(B, C) <=>  (k3_finseq_1(A)=2 &  (k1_funct_1(A, 1)=B & k1_funct_1(A, 2)=C) ) ) ) ) ) ) ).
fof(t45_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (! [C] :  (! [D] :  (A=k11_finseq_1(B, C, D) <=>  (k3_finseq_1(A)=3 &  (k1_funct_1(A, 1)=B &  (k1_funct_1(A, 2)=C & k1_funct_1(A, 3)=D) ) ) ) ) ) ) ) ) ).
fof(t46_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ~ ( ( ~ (A=k1_xboole_0)  &  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ~ (A=k7_finseq_1(C, k9_finseq_1(D))) ) ) ) ) ) ) ) ) ).
fof(t47_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  ~ ( (k7_finseq_1(A, B)=k7_finseq_1(C, D) &  (r1_xxreal_0(k3_finseq_1(A), k3_finseq_1(C)) &  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  ~ (k7_finseq_1(A, E)=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_finseq_1, axiom,  (! [A] :  (! [B] :  (B=k13_finseq_1(A) <=>  (! [C] :  (r2_hidden(C, B) <=> m2_finseq_1(C, A)) ) ) ) ) ).
fof(t48_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( (k10_xtuple_0(A)=k10_xtuple_0(B) &  (v2_funct_1(A) & v2_funct_1(B)) )  => k3_finseq_1(A)=k3_finseq_1(B)) ) ) ) ) ).
fof(t49_finseq_1, axiom,  (! [A] : r2_tarski(k1_xboole_0, k13_finseq_1(A))) ).
fof(d12_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v2_finseq_1(A) <=>  (? [B] :  (v7_ordinal1(B) & r1_tarski(k9_xtuple_0(A), k2_finseq_1(B))) ) ) ) ) ).
fof(d13_finseq_1, axiom,  (! [A] :  ( (? [B] :  (v7_ordinal1(B) & r1_tarski(A, k2_finseq_1(B))) )  =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (B=k14_finseq_1(A) <=>  (k10_xtuple_0(B)=A &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r1_xxreal_0(1, C) &  ( ~ (r1_xxreal_0(D, C))  &  (r1_xxreal_0(D, k3_finseq_1(B)) &  (E=k1_funct_1(B, C) &  (F=k1_funct_1(B, D) & r1_xxreal_0(F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  => k10_xtuple_0(k14_finseq_1(k9_xtuple_0(A)))=k9_xtuple_0(A)) ) ).
fof(d14_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  => k15_finseq_1(A)=k3_relat_1(k14_finseq_1(k9_xtuple_0(A)), A)) ) ).
fof(t51_finseq_1, axiom,  (! [A] :  ( (? [B] :  (v7_ordinal1(B) & r1_tarski(A, k2_finseq_1(B))) )  =>  (k14_finseq_1(A)=k1_xboole_0 <=> A=k1_xboole_0) ) ) ).
fof(t52_finseq_1, axiom,  (! [A] :  (v1_finset_1(A) <=>  (? [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  & A=k10_xtuple_0(B)) ) ) ) ).
fof(t53_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_wellord2(k2_finseq_1(B), k2_finseq_1(A)) => B=A) ) ) ) ) ).
fof(t54_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => r2_wellord2(k2_finseq_1(A), A)) ) ).
fof(t55_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => k4_card_1(k2_finseq_1(A))=k4_card_1(A)) ) ).
fof(t56_finseq_1, axiom,  (! [A] :  ~ ( (v1_finset_1(A) &  (! [B] :  (v7_ordinal1(B) =>  ~ (r2_wellord2(A, k2_finseq_1(B))) ) ) ) ) ) ).
fof(t57_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => k4_card_1(k2_finseq_1(A))=A) ) ).
fof(d15_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => k16_finseq_1(A, B)=k5_relat_1(B, k2_finseq_1(A))) ) ) ) ).
fof(t58_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r1_xxreal_0(k3_finseq_1(B), A) => k16_finseq_1(A, B)=B) ) ) ) ) ).
fof(t59_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r1_xxreal_0(A, k3_finseq_1(B)) => k3_finseq_1(k16_finseq_1(A, B))=A) ) ) ) ) ).
fof(t60_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(B, k2_finseq_1(A)) => r2_tarski(k2_xcmplx_0(B, C), k2_finseq_1(k2_xcmplx_0(A, C)))) ) ) ) ) ) ) ).
fof(t61_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(k2_xcmplx_0(B, C), k2_finseq_1(k2_xcmplx_0(A, C))) =>  (r1_xxreal_0(B, k5_numbers) |  (r2_tarski(B, k2_finseq_1(A)) & r2_tarski(B, k2_finseq_1(k2_xcmplx_0(A, C)))) ) ) ) ) ) ) ) ) ).
fof(d16_finseq_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (B=k18_finseq_1(A) <=>  (! [C] :  (! [D] :  (r2_hidden(k4_tarski(C, D), B) <=>  (r2_hidden(C, k1_relat_1(A)) &  (r2_hidden(D, k1_relat_1(A)) &  (? [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  &  (r1_xxreal_0(1, k3_finseq_1(E)) &  (k1_funct_1(E, 1)=C &  (k1_funct_1(E, k3_finseq_1(E))=D &  (! [F] :  (v7_ordinal1(F) =>  (r1_xxreal_0(1, F) =>  (r1_xxreal_0(k3_finseq_1(E), F) | r2_hidden(k4_tarski(k1_funct_1(E, F), k1_funct_1(E, k1_nat_1(F, 1))), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_finseq_1, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) => r1_tarski(k13_finseq_1(A), k13_finseq_1(B))) ) ) ).
fof(t63_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r1_tarski(A, B) => r1_xxreal_0(k3_finseq_1(A), k3_finseq_1(B))) ) ) ) ) ).
fof(t64_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, k3_finseq_1(A)))  => k1_funct_1(k7_finseq_1(A, B), C)=k1_funct_1(A, C)) ) ) ) ) ) ) ).
fof(t65_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, k3_finseq_1(B)))  => k1_funct_1(k7_finseq_1(A, B), k2_xcmplx_0(k3_finseq_1(A), C))=k1_funct_1(B, C)) ) ) ) ) ) ) ).
fof(t66_finseq_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  (E=k7_finseq_1(k7_finseq_1(k7_finseq_1(k9_finseq_1(A), k9_finseq_1(B)), k9_finseq_1(C)), k9_finseq_1(D)) =>  (k3_finseq_1(E)=4 &  (k1_funct_1(E, 1)=A &  (k1_funct_1(E, 2)=B &  (k1_funct_1(E, 3)=C & k1_funct_1(E, 4)=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_finseq_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) )  =>  (F=k7_finseq_1(k7_finseq_1(k7_finseq_1(k7_finseq_1(k9_finseq_1(A), k9_finseq_1(B)), k9_finseq_1(C)), k9_finseq_1(D)), k9_finseq_1(E)) =>  (k3_finseq_1(F)=5 &  (k1_funct_1(F, 1)=A &  (k1_funct_1(F, 2)=B &  (k1_funct_1(F, 3)=C &  (k1_funct_1(F, 4)=D & k1_funct_1(F, 5)=E) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_finseq_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) & v1_finseq_1(G)) )  =>  (G=k7_finseq_1(k7_finseq_1(k7_finseq_1(k7_finseq_1(k7_finseq_1(k9_finseq_1(A), k9_finseq_1(B)), k9_finseq_1(C)), k9_finseq_1(D)), k9_finseq_1(E)), k9_finseq_1(F)) =>  (k3_finseq_1(G)=6 &  (k1_funct_1(G, 1)=A &  (k1_funct_1(G, 2)=B &  (k1_funct_1(G, 3)=C &  (k1_funct_1(G, 4)=D &  (k1_funct_1(G, 5)=E & k1_funct_1(G, 6)=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t69_finseq_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  ( (v1_relat_1(H) &  (v1_funct_1(H) & v1_finseq_1(H)) )  =>  (H=k7_finseq_1(k7_finseq_1(k7_finseq_1(k7_finseq_1(k7_finseq_1(k7_finseq_1(k9_finseq_1(A), k9_finseq_1(B)), k9_finseq_1(C)), k9_finseq_1(D)), k9_finseq_1(E)), k9_finseq_1(F)), k9_finseq_1(G)) =>  (k3_finseq_1(H)=7 &  (k1_funct_1(H, 1)=A &  (k1_funct_1(H, 2)=B &  (k1_funct_1(H, 3)=C &  (k1_funct_1(H, 4)=D &  (k1_funct_1(H, 5)=E &  (k1_funct_1(H, 6)=F & k1_funct_1(H, 7)=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_finseq_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  ( (v1_relat_1(I) &  (v1_funct_1(I) & v1_finseq_1(I)) )  =>  (I=k7_finseq_1(k7_finseq_1(k7_finseq_1(k7_finseq_1(k7_finseq_1(k7_finseq_1(k7_finseq_1(k9_finseq_1(A), k9_finseq_1(B)), k9_finseq_1(C)), k9_finseq_1(D)), k9_finseq_1(E)), k9_finseq_1(F)), k9_finseq_1(G)), k9_finseq_1(H)) =>  (k3_finseq_1(I)=8 &  (k1_funct_1(I, 1)=A &  (k1_funct_1(I, 2)=B &  (k1_funct_1(I, 3)=C &  (k1_funct_1(I, 4)=D &  (k1_funct_1(I, 5)=E &  (k1_funct_1(I, 6)=F &  (k1_funct_1(I, 7)=G & k1_funct_1(I, 8)=H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_finseq_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  (! [J] :  ( (v1_relat_1(J) &  (v1_funct_1(J) & v1_finseq_1(J)) )  =>  (J=k7_finseq_1(k7_finseq_1(k7_finseq_1(k7_finseq_1(k7_finseq_1(k7_finseq_1(k7_finseq_1(k7_finseq_1(k9_finseq_1(A), k9_finseq_1(B)), k9_finseq_1(C)), k9_finseq_1(D)), k9_finseq_1(E)), k9_finseq_1(F)), k9_finseq_1(G)), k9_finseq_1(H)), k9_finseq_1(I)) =>  (k3_finseq_1(J)=9 &  (k1_funct_1(J, 1)=A &  (k1_funct_1(J, 2)=B &  (k1_funct_1(J, 3)=C &  (k1_funct_1(J, 4)=D &  (k1_funct_1(J, 5)=E &  (k1_funct_1(J, 6)=F &  (k1_funct_1(J, 7)=G &  (k1_funct_1(J, 8)=H & k1_funct_1(J, 9)=I) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t72_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k16_finseq_1(k2_finseq_1(k5_numbers), A)=k1_xboole_0) ) ).
fof(t73_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => k16_finseq_1(k2_finseq_1(k5_numbers), A)=k16_finseq_1(k2_finseq_1(k5_numbers), B)) ) ) ) ).
fof(t74_finseq_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) => m2_finseq_1(k12_finseq_1(A, B), A)) ) ) ) ).
fof(t75_finseq_1, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) => m2_finseq_1(k8_finseq_1(A, B, C), A)) ) ) ) ) ).
fof(t76_finseq_1, axiom,  (! [A] :  (! [B] :  (k9_finseq_1(A)=k9_finseq_1(B) => A=B) ) ) ).
fof(t77_finseq_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (k10_finseq_1(A, B)=k10_finseq_1(C, D) =>  (A=C & B=D) ) ) ) ) ) ).
fof(t78_finseq_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (k11_finseq_1(A, B, C)=k11_finseq_1(D, E, F) =>  (A=D &  (B=E & C=F) ) ) ) ) ) ) ) ) ).
fof(t79_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (C=k5_relat_1(B, k2_finseq_1(A)) => r1_xxreal_0(k3_finseq_1(C), k3_finseq_1(B))) ) ) ) ) ) ) ).
fof(t80_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ~ ( (C=k5_relat_1(B, k2_finseq_1(A)) &  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  ~ (B=k7_finseq_1(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (A=B <=>  (k3_finseq_1(A)=k3_finseq_1(B) &  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, k3_finseq_1(A)))  => k1_funct_1(A, C)=k1_funct_1(B, C)) ) ) ) ) ) ) ) ) ).
fof(t81_finseq_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_tarski(1, k4_finseq_1(k11_finseq_1(A, B, C))) &  (r2_tarski(2, k4_finseq_1(k11_finseq_1(A, B, C))) & r2_tarski(3, k4_finseq_1(k11_finseq_1(A, B, C)))) ) ) ) ) ).
fof(t82_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(C, B) => k16_finseq_1(C, k16_finseq_1(B, A))=k16_finseq_1(C, A)) ) ) ) ) ) ) ).
fof(t83_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => k2_finseq_1(A)=k6_subset_1(k1_nat_1(A, 1), k1_tarski(k5_numbers))) ) ).
fof(d18_finseq_1, axiom,  (! [A] :  (v3_finseq_1(A) <=>  (! [B] :  (r2_hidden(B, A) =>  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) ) ) ) ).
fof(t84_finseq_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r2_tarski(C, k13_finseq_1(B)) & r2_hidden(A, k9_xtuple_0(C)))  => r2_tarski(k1_funct_1(C, A), B)) ) ) ) ) ).
fof(t85_finseq_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (? [B] :  ( ~ (v1_xboole_0(B))  & r1_tarski(A, k13_finseq_1(B))) ) ) ) ).
fof(t86_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (C=k5_relat_1(B, k2_finseq_1(A)) => r1_xxreal_0(k3_finseq_1(C), A)) ) ) ) ) ) ) ).
fof(t87_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( (A=k7_finseq_1(A, B) | A=k7_finseq_1(B, A))  => B=k1_xboole_0) ) ) ) ) ).
fof(t88_finseq_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ~ ( (k7_finseq_1(B, C)=k9_finseq_1(A) &  ( ~ ( (B=k9_finseq_1(A) & C=k1_xboole_0) )  &  ~ ( (B=k1_xboole_0 & C=k9_finseq_1(A)) ) ) ) ) ) ) ) ) ) ).
fof(t89_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) )  => k4_finseq_1(B)=k2_finseq_1(A)) ) ) ) ).
fof(t90_finseq_1, axiom,  (! [A] :  (! [B] :  (r2_hidden(A, k4_finseq_1(k9_finseq_1(B))) => A=1) ) ) ).
fof(t91_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ~ ( (r2_hidden(B, k2_finseq_1(A)) &  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, A) & B=C) ) ) ) ) ) ) ) ) ) ).
fof(t92_finseq_1, axiom,  (! [A] :  (! [B] : k4_finseq_1(k10_finseq_1(A, B))=k2_tarski(1, 2)) ) ).
fof(t93_finseq_1, axiom,  (! [A] :  (v1_finset_1(A) => k3_finseq_1(k20_finseq_1(A))=k4_card_1(A)) ) ).
fof(t94_finseq_1, axiom,  (! [A] : k20_finseq_1(k1_tarski(A))=k9_finseq_1(A)) ).
fof(t95_finseq_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (v1_funct_1(k2_funct_1(k20_finseq_1(A))) &  (v1_funct_2(k2_funct_1(k20_finseq_1(A)), A, k2_finseq_1(k4_card_1(A))) & m1_subset_1(k2_funct_1(k20_finseq_1(A)), k1_zfmisc_1(k2_zfmisc_1(A, k2_finseq_1(k4_card_1(A)))))) ) ) ) ).
fof(t96_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (r1_xxreal_0(A, k5_numbers))  =>  (v1_relat_1(k1_tarski(k4_tarski(A, B))) &  (v1_funct_1(k1_tarski(k4_tarski(A, B))) & v2_finseq_1(k1_tarski(k4_tarski(A, B)))) ) ) ) ) ) ).
fof(t97_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  =>  (A=k1_xboole_0 <=> k15_finseq_1(A)=k1_xboole_0) ) ) ).
fof(t98_finseq_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ~ ( ( (v1_relat_1(k2_tarski(k4_tarski(A, C), k4_tarski(B, D))) &  (v1_funct_1(k2_tarski(k4_tarski(A, C), k4_tarski(B, D))) & v1_finseq_1(k2_tarski(k4_tarski(A, C), k4_tarski(B, D)))) )  &  ( ~ ( (A=1 &  (B=1 & C=D) ) )  &  ( ~ ( (A=1 & B=2) )  &  ~ ( (A=2 & B=1) ) ) ) ) ) ) ) ) ) ).
fof(t99_finseq_1, axiom,  (! [A] :  (! [B] : k10_finseq_1(A, B)=k2_tarski(k4_tarski(1, A), k4_tarski(2, B))) ) ).
fof(t100_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  => k4_finseq_1(k15_finseq_1(A))=k4_finseq_1(k14_finseq_1(k9_xtuple_0(A)))) ) ).
fof(t101_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  => k10_xtuple_0(A)=k10_xtuple_0(k15_finseq_1(A))) ) ).
fof(s1_finseq_1, axiom,  ( (! [A] :  (v7_ordinal1(A) =>  ~ ( (r2_tarski(A, k2_finseq_1(f1_s1_finseq_1)) &  (! [B] :  ~ (p1_s1_finseq_1(A, B)) ) ) ) ) )  =>  (? [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (k4_finseq_1(A)=k2_finseq_1(f1_s1_finseq_1) &  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k2_finseq_1(f1_s1_finseq_1)) => p1_s1_finseq_1(B, k1_funct_1(A, B))) ) ) ) ) ) ) ).
fof(s2_finseq_1, axiom,  (? [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (k3_finseq_1(A)=f1_s2_finseq_1 &  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k4_finseq_1(A)) => k1_funct_1(A, B)=f2_s2_finseq_1(B)) ) ) ) ) ) ).
fof(s3_finseq_1, axiom,  ( (p1_s3_finseq_1(k1_xboole_0) &  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (p1_s3_finseq_1(A) => p1_s3_finseq_1(k7_finseq_1(A, k9_finseq_1(B)))) ) ) ) )  =>  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => p1_s3_finseq_1(A)) ) ) ).
fof(s4_finseq_1, axiom,  (? [A] :  (! [B] :  (r2_hidden(B, A) <=>  (? [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  &  (r2_tarski(C, k13_finseq_1(f1_s4_finseq_1)) &  (p1_s4_finseq_1(C) & B=C) ) ) ) ) ) ) ).
fof(s5_finseq_1, axiom,  ( (! [A] :  (v7_ordinal1(A) =>  ~ ( (r2_tarski(A, k2_finseq_1(f2_s5_finseq_1)) &  (! [B] :  (m1_subset_1(B, f1_s5_finseq_1) =>  ~ (p1_s5_finseq_1(A, B)) ) ) ) ) ) )  =>  (? [A] :  (m2_finseq_1(A, f1_s5_finseq_1) &  (k4_finseq_1(A)=k2_finseq_1(f2_s5_finseq_1) &  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k2_finseq_1(f2_s5_finseq_1)) => p1_s5_finseq_1(B, k1_funct_1(A, B))) ) ) ) ) ) ) ).
fof(dt_k2_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k2_finseq_1(A), k1_zfmisc_1(k4_ordinal1))) ) ).
fof(redefinition_k2_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => k2_finseq_1(A)=k1_finseq_1(A)) ) ).
fof(dt_k3_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => m1_subset_1(k3_finseq_1(A), k4_ordinal1)) ) ).
fof(projectivity_k3_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k3_finseq_1(k3_finseq_1(A))=k3_finseq_1(A)) ) ).
fof(redefinition_k3_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k3_finseq_1(A)=k1_card_1(A)) ) ).
fof(dt_k4_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => m1_subset_1(k4_finseq_1(A), k1_zfmisc_1(k4_ordinal1))) ) ).
fof(redefinition_k4_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k4_finseq_1(A)=k9_xtuple_0(A)) ) ).
fof(dt_f1_s1_finseq_1, axiom, v7_ordinal1(f1_s1_finseq_1)).
fof(dt_f1_s2_finseq_1, axiom, v7_ordinal1(f1_s2_finseq_1)).
fof(dt_m1_finseq_1, axiom,  (! [A] :  (! [B] :  (m1_finseq_1(B, A) =>  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) ) ) ).
fof(existence_m1_finseq_1, axiom,  (! [A] :  (? [B] : m1_finseq_1(B, A)) ) ).
fof(dt_m2_finseq_1, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (v1_funct_1(B) &  (v1_finseq_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) ) ) ) ) ).
fof(existence_m2_finseq_1, axiom,  (! [A] :  (? [B] : m2_finseq_1(B, A)) ) ).
fof(redefinition_m2_finseq_1, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) <=> m1_finseq_1(B, A)) ) ) ).
fof(dt_k6_finseq_1, axiom,  (! [A] : m2_finseq_1(k6_finseq_1(A), A)) ).
fof(dt_k7_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ).
fof(dt_k8_finseq_1, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, A) & m1_finseq_1(C, A))  => m2_finseq_1(k8_finseq_1(A, B, C), A)) ) ).
fof(redefinition_k8_finseq_1, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, A) & m1_finseq_1(C, A))  => k8_finseq_1(A, B, C)=k7_finseq_1(B, C)) ) ).
fof(dt_k9_finseq_1, axiom,  (! [A] :  (v1_relat_1(k9_finseq_1(A)) & v1_funct_1(k9_finseq_1(A))) ) ).
fof(redefinition_k9_finseq_1, axiom,  (! [A] : k9_finseq_1(A)=k5_finseq_1(A)) ).
fof(dt_k12_finseq_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => m2_finseq_1(k12_finseq_1(A, B), A)) ) ).
fof(redefinition_k12_finseq_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => k12_finseq_1(A, B)=k5_finseq_1(B)) ) ).
fof(dt_f1_s4_finseq_1, axiom,  ~ (v1_xboole_0(f1_s4_finseq_1)) ).
fof(dt_k14_finseq_1, axiom,  (! [A] : m2_finseq_1(k14_finseq_1(A), k4_ordinal1)) ).
fof(dt_k15_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  =>  (v1_relat_1(k15_finseq_1(A)) & v1_funct_1(k15_finseq_1(A))) ) ) ).
fof(dt_f1_s5_finseq_1, axiom,  ~ (v1_xboole_0(f1_s5_finseq_1)) ).
fof(dt_f2_s5_finseq_1, axiom, v7_ordinal1(f2_s5_finseq_1)).
fof(dt_k16_finseq_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  =>  (v1_relat_1(k16_finseq_1(A, B)) &  (v1_funct_1(k16_finseq_1(A, B)) & v1_finseq_1(k16_finseq_1(A, B))) ) ) ) ).
fof(dt_k17_finseq_1, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) & m1_finseq_1(C, A))  => m2_finseq_1(k17_finseq_1(A, B, C), A)) ) ).
fof(redefinition_k17_finseq_1, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) & m1_finseq_1(C, A))  => k17_finseq_1(A, B, C)=k16_finseq_1(B, C)) ) ).
fof(dt_k18_finseq_1, axiom,  (! [A] :  (v1_relat_1(A) => v1_relat_1(k18_finseq_1(A))) ) ).
fof(dt_f1_s6_finseq_1, axiom, v7_ordinal1(f1_s6_finseq_1)).
fof(dt_k19_finseq_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (v1_relat_1(k19_finseq_1(A)) &  (v1_funct_1(k19_finseq_1(A)) & v1_finseq_1(k19_finseq_1(A))) ) ) ) ).
fof(dt_k20_finseq_1, axiom,  (! [A] :  (v1_finset_1(A) => m2_finseq_1(k20_finseq_1(A), A)) ) ).
fof(redefinition_k20_finseq_1, axiom,  (! [A] :  (v1_finset_1(A) => k20_finseq_1(A)=k19_finseq_1(A)) ) ).
fof(d1_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => k1_finseq_1(A)=a_1_0_finseq_1(A)) ) ).
fof(d19_finseq_1, axiom,  (! [A] :  (v1_finset_1(A) => k19_finseq_1(A)=o_1_1_finseq_1(A)) ) ).
fof(s6_finseq_1, axiom, v1_finset_1(a_0_0_finseq_1)).
fof(fraenkel_a_1_0_finseq_1, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_0_finseq_1(B)) <=>  (? [C] :  (v7_ordinal1(C) &  (A=C &  (r1_xxreal_0(1, C) & r1_xxreal_0(C, B)) ) ) ) ) ) ) ).
fof(dt_o_1_1_finseq_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (v2_funct_1(o_1_1_finseq_1(A)) &  (v2_funct_2(o_1_1_finseq_1(A), A) & m2_finseq_1(o_1_1_finseq_1(A), A)) ) ) ) ).
fof(fraenkel_a_0_0_finseq_1, axiom,  (! [A] :  (r2_hidden(A, a_0_0_finseq_1) <=>  (? [B] :  (v7_ordinal1(B) &  (A=f2_s6_finseq_1(B) &  (r1_xxreal_0(B, f1_s6_finseq_1) & p1_s6_finseq_1(B)) ) ) ) ) ) ).
fof(fc1_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_relat_1(k1_finseq_2(A)) &  (v1_funct_1(k1_finseq_2(A)) &  (v3_card_1(k1_finseq_2(A), A) & v1_finseq_1(k1_finseq_2(A))) ) ) ) ) ).
fof(fc2_finseq_2, axiom,  (v1_relat_1(k1_finseq_2(k5_numbers)) &  (v1_funct_1(k1_finseq_2(k5_numbers)) &  (v1_xboole_0(k1_finseq_2(k5_numbers)) & v1_finseq_1(k1_finseq_2(k5_numbers))) ) ) ).
fof(fc3_finseq_2, axiom,  (! [A, B] :  (v7_ordinal1(A) => v1_finseq_1(k2_funcop_1(k1_finseq_1(A), B))) ) ).
fof(fc4_finseq_2, axiom,  (! [A, B] :  (v7_ordinal1(A) =>  (v1_relat_1(k2_finseq_2(A, B)) &  (v1_funct_1(k2_finseq_2(A, B)) &  (v3_card_1(k2_finseq_2(A, B), A) & v1_finseq_1(k2_finseq_2(A, B))) ) ) ) ) ).
fof(rc1_finseq_2, axiom,  (! [A] :  (? [B] :  (m1_finseq_2(B, A) &  ~ (v1_xboole_0(B)) ) ) ) ).
fof(rc2_finseq_2, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(B)) )  =>  (? [C] :  (m1_finseq_1(C, B) &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v3_card_1(C, A) &  (v1_finseq_1(C) &  (v2_finseq_1(C) & v4_card_3(C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc5_finseq_2, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_xboole_0(k4_finseq_2(A, B))) ) ) ).
fof(cc1_finseq_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & v7_ordinal1(B))  =>  (! [C] :  (m1_subset_1(C, k4_finseq_2(B, A)) => v3_card_1(C, B)) ) ) ) ).
fof(cc2_finseq_2, axiom,  (! [A] :  (! [B] :  (m1_finseq_2(B, A) => v4_funct_1(B)) ) ) ).
fof(fc6_finseq_2, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (v1_relat_1(k6_finseq_2(A, B)) &  (v2_relat_1(k6_finseq_2(A, B)) &  (v4_relat_1(k6_finseq_2(A, B), k3_finseq_2(A)) &  (v1_funct_1(k6_finseq_2(A, B)) & v1_partfun1(k6_finseq_2(A, B), k3_finseq_2(A))) ) ) ) ) ) ).
fof(fc7_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_relat_1(k2_finseq_2(A, k5_numbers)) &  (v3_relat_1(k2_finseq_2(A, k5_numbers)) &  (v1_funct_1(k2_finseq_2(A, k5_numbers)) & v1_finseq_1(k2_finseq_2(A, k5_numbers))) ) ) ) ) ).
fof(cc3_finseq_2, axiom,  (! [A] :  (! [B] :  (m1_finseq_2(B, A) => v3_finseq_1(B)) ) ) ).
fof(t2_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (C=k3_xxreal_0(A, B) => k3_xboole_0(k1_finseq_1(A), k1_finseq_1(B))=k1_finseq_1(C)) ) ) ) ) ) ) ).
fof(t3_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(A, B) => k4_xxreal_0(k5_numbers, k6_xcmplx_0(A, B))=k5_numbers) ) ) ) ) ).
fof(t4_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(B, A) => k4_xxreal_0(k5_numbers, k6_xcmplx_0(A, B))=k6_xcmplx_0(A, B)) ) ) ) ) ).
fof(t5_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => m1_subset_1(k4_xxreal_0(k5_numbers, k6_xcmplx_0(A, B)), k4_ordinal1)) ) ) ) ).
fof(t7_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r2_hidden(A, k2_finseq_1(k1_nat_1(B, 1))) &  ( ~ (r2_hidden(A, k1_finseq_1(B)))  &  ~ (A=k1_nat_1(B, 1)) ) ) ) ) ) ) ) ).
fof(t8_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_hidden(A, k1_finseq_1(C)) => r2_hidden(A, k2_finseq_1(k2_xcmplx_0(C, B)))) ) ) ) ) ) ) ).
fof(t9_finseq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( (k3_finseq_1(A)=k3_finseq_1(B) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(A)) => k1_funct_1(A, C)=k1_funct_1(B, C)) ) ) )  => A=B) ) ) ) ) ).
fof(t10_finseq_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ~ ( (r2_hidden(A, k10_xtuple_0(B)) &  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(C, k4_finseq_1(B)) & k1_funct_1(B, C)=A) ) ) ) ) ) ) ) ) ).
fof(t11_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  (m2_finseq_1(C, B) =>  (r2_hidden(A, k4_finseq_1(C)) => r2_tarski(k1_funct_1(C, A), B)) ) ) ) ) ) ).
fof(t12_finseq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(A)) => r2_tarski(k1_funct_1(A, C), B)) ) )  => m2_finseq_1(A, B)) ) ) ) ).
fof(t13_finseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) => m2_finseq_1(k10_finseq_1(B, C), A)) ) ) ) ) ) ).
fof(t14_finseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) => m2_finseq_1(k11_finseq_1(B, C, D), A)) ) ) ) ) ) ) ) ).
fof(t15_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r2_hidden(A, k4_finseq_1(B)) => r2_hidden(A, k4_finseq_1(k7_finseq_1(B, C)))) ) ) ) ) ) ) ).
fof(t16_finseq_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => k3_finseq_1(k7_finseq_1(B, k9_finseq_1(A)))=k1_nat_1(k3_finseq_1(B), 1)) ) ) ).
fof(t17_finseq_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (k7_finseq_1(C, k9_finseq_1(A))=k7_finseq_1(D, k9_finseq_1(B)) =>  (C=D & A=B) ) ) ) ) ) ) ) ).
fof(t18_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ~ ( (k3_finseq_1(B)=k1_nat_1(A, 1) &  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ~ (B=k7_finseq_1(C, k9_finseq_1(D))) ) ) ) ) ) ) ) ) ) ).
fof(t19_finseq_2, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  ~ ( ( ~ (k3_finseq_1(B)=k5_numbers)  &  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  ~ (B=k7_finseq_1(C, k9_finseq_1(D))) ) ) ) ) ) ) ) ) ) ).
fof(t20_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ( (C=k5_relat_1(B, k1_finseq_1(A)) & r1_xxreal_0(k3_finseq_1(B), A))  => B=C) ) ) ) ) ) ) ).
fof(t21_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (C=k5_relat_1(B, k1_finseq_1(A)) => k3_finseq_1(C)=k3_xxreal_0(A, k3_finseq_1(B))) ) ) ) ) ) ) ).
fof(t22_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ~ ( (k3_finseq_1(C)=k2_xcmplx_0(A, B) &  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  ~ ( (k3_finseq_1(D)=A &  (k3_finseq_1(E)=B & C=k7_finseq_1(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m2_finseq_1(D, C) =>  ~ ( (k3_finseq_1(D)=k2_xcmplx_0(A, B) &  (! [E] :  (m2_finseq_1(E, C) =>  (! [F] :  (m2_finseq_1(F, C) =>  ~ ( (k3_finseq_1(E)=A &  (k3_finseq_1(F)=B & D=k8_finseq_1(C, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_finseq_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m2_finseq_1(C, B) => m2_finseq_1(C, A)) ) ) ) ) ).
fof(t25_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_finseq_1(A), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_finseq_1(A), B)))) )  => m2_finseq_1(C, B)) ) ) ) ) ) ).
fof(t26_finseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_1(B), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(B), A)))) ) ) ) ) ) ).
fof(t27_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  => m2_finseq_1(k2_partfun1(k4_ordinal1, B, C, k1_finseq_1(A)), B)) ) ) ) ) ) ).
fof(t28_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (C=k2_partfun1(k4_ordinal1, B, D, k1_finseq_1(A)) => k3_finseq_1(C)=A) ) ) ) ) ) ) ) ) ).
fof(t29_finseq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r1_tarski(k10_xtuple_0(A), k9_xtuple_0(C)) & B=k3_relat_1(A, C))  => k3_finseq_1(B)=k3_finseq_1(A)) ) ) ) ) ) ) ).
fof(t30_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (B=k1_finseq_1(A) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  (m2_finseq_1(D, B) =>  (r1_xxreal_0(A, k3_finseq_1(C)) =>  (v1_relat_1(k3_relat_1(D, C)) &  (v1_funct_1(k3_relat_1(D, C)) & v1_finseq_1(k3_relat_1(D, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (B=k1_finseq_1(A) =>  (! [D] :  (m2_finseq_1(D, C) =>  (! [E] :  (m2_finseq_1(E, B) =>  (r1_xxreal_0(A, k3_finseq_1(D)) => m2_finseq_1(k1_partfun1(k4_ordinal1, B, k4_ordinal1, C, E, D), C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_finseq_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  => m2_finseq_1(k1_partfun1(k4_ordinal1, A, A, B, C, D), B)) ) ) ) ) ) ).
fof(t33_finseq_2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  (m2_finseq_1(D, A) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (C=k1_partfun1(k4_ordinal1, A, A, B, D, E) => k3_finseq_1(C)=k3_finseq_1(D)) ) ) ) ) ) ) ) ) ) ).
fof(t34_finseq_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_tarski(A, k9_xtuple_0(B)) => k3_relat_1(k9_finseq_1(A), B)=k9_finseq_1(k1_funct_1(B, A))) ) ) ) ).
fof(t35_finseq_2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m2_finseq_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  (D=k9_finseq_1(A) => k1_partfun1(k4_ordinal1, B, B, C, D, E)=k9_finseq_1(k1_funct_1(E, A))) ) ) ) ) ) ) ) ) ) ).
fof(t36_finseq_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m2_finseq_1(E, C) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, C, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, D)))) )  =>  (E=k10_finseq_1(A, B) => k1_partfun1(k4_ordinal1, C, C, D, E, F)=k10_finseq_1(k1_funct_1(F, A), k1_funct_1(F, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_finseq_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  (m2_finseq_1(F, D) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, D, E) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(D, E)))) )  =>  (F=k11_finseq_1(A, B, C) => k1_partfun1(k4_ordinal1, D, D, E, F, G)=k11_finseq_1(k1_funct_1(G, A), k1_funct_1(G, B), k1_funct_1(G, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_finseq_1(A), k1_finseq_1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_finseq_1(A), k1_finseq_1(B))))) )  =>  (r1_xxreal_0(B, k3_finseq_1(C)) =>  ( (B=k5_numbers &  ~ (A=k5_numbers) )  |  (v1_relat_1(k3_relat_1(D, C)) &  (v1_funct_1(k3_relat_1(D, C)) & v1_finseq_1(k3_relat_1(D, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_finseq_1(A), k1_finseq_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_finseq_1(A), k1_finseq_1(A))))) )  =>  (r1_xxreal_0(A, k3_finseq_1(B)) =>  (v1_relat_1(k3_relat_1(C, B)) &  (v1_funct_1(k3_relat_1(C, B)) & v1_finseq_1(k3_relat_1(C, B))) ) ) ) ) ) ) ) ) ).
fof(t40_finseq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_1(A), k4_finseq_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(A), k4_finseq_1(A))))) )  =>  (v1_relat_1(k3_relat_1(B, A)) &  (v1_funct_1(k3_relat_1(B, A)) & v1_finseq_1(k3_relat_1(B, A))) ) ) ) ) ) ).
fof(t41_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_finseq_1(A), k1_finseq_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_finseq_1(A), k1_finseq_1(A))))) )  =>  ( (k10_xtuple_0(D)=k1_finseq_1(A) &  (r1_xxreal_0(A, k3_finseq_1(B)) & C=k3_relat_1(D, B)) )  => k3_finseq_1(C)=A) ) ) ) ) ) ) ) ) ).
fof(t42_finseq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_1(A), k4_finseq_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(A), k4_finseq_1(A))))) )  =>  ( (k10_xtuple_0(C)=k4_finseq_1(A) & B=k3_relat_1(C, A))  => k3_finseq_1(B)=k3_finseq_1(A)) ) ) ) ) ) ) ).
fof(t43_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_finseq_1(A), k1_finseq_1(A)) &  (v3_funct_2(D, k1_finseq_1(A), k1_finseq_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_finseq_1(A), k1_finseq_1(A))))) ) )  =>  ( (r1_xxreal_0(A, k3_finseq_1(B)) & C=k3_relat_1(D, B))  => k3_finseq_1(C)=A) ) ) ) ) ) ) ) ) ).
fof(t44_finseq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_1(A), k4_finseq_1(A)) &  (v3_funct_2(C, k4_finseq_1(A), k4_finseq_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(A), k4_finseq_1(A))))) ) )  =>  (B=k3_relat_1(C, A) => k3_finseq_1(B)=k3_finseq_1(A)) ) ) ) ) ) ) ).
fof(t45_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m2_finseq_1(D, C) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_finseq_1(A), k1_finseq_1(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_finseq_1(A), k1_finseq_1(B))))) )  =>  (r1_xxreal_0(B, k3_finseq_1(D)) =>  ( (B=k5_numbers &  ~ (A=k5_numbers) )  | m2_finseq_1(k1_partfun1(k1_finseq_1(A), k1_finseq_1(B), k4_ordinal1, C, E, D), C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_finseq_1(A), k1_finseq_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_finseq_1(A), k1_finseq_1(A))))) )  =>  (r1_xxreal_0(A, k3_finseq_1(C)) => m2_finseq_1(k1_partfun1(k1_finseq_1(A), k1_finseq_1(A), k4_ordinal1, B, D, C), B)) ) ) ) ) ) ) ) ) ).
fof(t47_finseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_1(B), k4_finseq_1(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(B), k4_finseq_1(B))))) )  => m2_finseq_1(k1_partfun1(k4_finseq_1(B), k4_finseq_1(B), k4_ordinal1, A, C, B), A)) ) ) ) ) ) ).
fof(t48_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) => m2_finseq_1(k6_partfun1(k1_finseq_1(A)), k4_ordinal1)) ) ).
fof(d1_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) => k1_finseq_2(A)=k6_partfun1(k1_finseq_1(A))) ) ).
fof(t49_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_finseq_1(A)) => k1_funct_1(k1_finseq_2(A), B)=B) ) ) ) ).
fof(t50_finseq_2, axiom, k1_finseq_2(1)=k12_finseq_1(k4_ordinal1, 1)).
fof(t51_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) => k1_finseq_2(k1_nat_1(A, 1))=k7_finseq_1(k1_finseq_2(A), k12_finseq_1(k4_ordinal1, k1_nat_1(A, 1)))) ) ).
fof(t52_finseq_2, axiom, k1_finseq_2(2)=k10_finseq_1(1, 2)).
fof(t53_finseq_2, axiom, k1_finseq_2(3)=k11_finseq_1(1, 2, 3)).
fof(t54_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r1_xxreal_0(k3_finseq_1(B), A) => k3_relat_1(k1_finseq_2(A), B)=B) ) ) ) ) ).
fof(t55_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_funct_1(k1_finseq_2(A)) &  (v1_funct_2(k1_finseq_2(A), k1_finseq_1(A), k1_finseq_1(A)) &  (v3_funct_2(k1_finseq_2(A), k1_finseq_1(A), k1_finseq_1(A)) & m1_subset_1(k1_finseq_2(A), k1_zfmisc_1(k2_zfmisc_1(k1_finseq_1(A), k1_finseq_1(A))))) ) ) ) ) ).
fof(t56_finseq_2, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (v1_relat_1(k7_funcop_1(k1_finseq_1(B), A)) &  (v1_funct_1(k7_funcop_1(k1_finseq_1(B), A)) & v1_finseq_1(k7_funcop_1(k1_finseq_1(B), A))) ) ) ) ) ).
fof(d2_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] : k2_finseq_2(A, B)=k7_funcop_1(k1_finseq_1(A), B)) ) ) ).
fof(t57_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  (r2_tarski(C, k1_finseq_1(A)) => k1_funct_1(k2_finseq_2(A, B), C)=B) ) ) ) ) ).
fof(t58_finseq_2, axiom,  (! [A] : k2_finseq_2(k5_numbers, A)=k1_xboole_0) ).
fof(t59_finseq_2, axiom,  (! [A] : k2_finseq_2(1, A)=k9_finseq_1(A)) ).
fof(t60_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] : k2_finseq_2(k1_nat_1(A, 1), B)=k7_finseq_1(k2_finseq_2(A, B), k9_finseq_1(B))) ) ) ).
fof(t61_finseq_2, axiom,  (! [A] : k2_finseq_2(2, A)=k10_finseq_1(A, A)) ).
fof(t62_finseq_2, axiom,  (! [A] : k2_finseq_2(3, A)=k11_finseq_1(A, A, A)) ).
fof(t63_finseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (v7_ordinal1(C) => m2_finseq_1(k2_finseq_2(C, B), A)) ) ) ) ) ) ).
fof(t64_finseq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_tarski(k2_zfmisc_1(k10_xtuple_0(A), k10_xtuple_0(B)), k9_xtuple_0(C)) =>  (v1_relat_1(k3_funcop_1(C, A, B)) &  (v1_funct_1(k3_funcop_1(C, A, B)) & v1_finseq_1(k3_funcop_1(C, A, B))) ) ) ) ) ) ) ) ) ).
fof(t65_finseq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (r1_tarski(k2_zfmisc_1(k10_xtuple_0(A), k10_xtuple_0(B)), k9_xtuple_0(D)) & C=k3_funcop_1(D, A, B))  => k3_finseq_1(C)=k3_xxreal_0(k3_finseq_1(A), k3_finseq_1(B))) ) ) ) ) ) ) ) ) ).
fof(t66_finseq_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_tarski(k2_zfmisc_1(k1_tarski(A), k10_xtuple_0(B)), k9_xtuple_0(C)) =>  (v1_relat_1(k5_funcop_1(C, A, B)) &  (v1_funct_1(k5_funcop_1(C, A, B)) & v1_finseq_1(k5_funcop_1(C, A, B))) ) ) ) ) ) ) ) ).
fof(t67_finseq_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (r1_tarski(k2_zfmisc_1(k1_tarski(A), k10_xtuple_0(B)), k9_xtuple_0(D)) & C=k5_funcop_1(D, A, B))  => k3_finseq_1(C)=k3_finseq_1(B)) ) ) ) ) ) ) ) ).
fof(t68_finseq_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_tarski(k2_zfmisc_1(k10_xtuple_0(B), k1_tarski(A)), k9_xtuple_0(C)) =>  (v1_relat_1(k4_funcop_1(C, B, A)) &  (v1_funct_1(k4_funcop_1(C, B, A)) & v1_finseq_1(k4_funcop_1(C, B, A))) ) ) ) ) ) ) ) ).
fof(t69_finseq_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (r1_tarski(k2_zfmisc_1(k10_xtuple_0(B), k1_tarski(A)), k9_xtuple_0(D)) & C=k4_funcop_1(D, B, A))  => k3_finseq_1(C)=k3_finseq_1(B)) ) ) ) ) ) ) ) ).
fof(t70_finseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [E] :  (m2_finseq_1(E, A) =>  (! [F] :  (m2_finseq_1(F, B) => m2_finseq_1(k3_funcop_1(D, E, F), C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_finseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, B), C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [F] :  (m2_finseq_1(F, A) =>  (! [G] :  (m2_finseq_1(G, B) =>  (D=k3_funcop_1(E, F, G) => k3_finseq_1(D)=k3_xxreal_0(k3_finseq_1(F), k3_finseq_1(G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t72_finseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, B), C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [F] :  (m2_finseq_1(F, A) =>  (! [G] :  (m2_finseq_1(G, B) =>  ( (k3_finseq_1(F)=k3_finseq_1(G) & D=k3_funcop_1(E, F, G))  =>  (k3_finseq_1(D)=k3_finseq_1(F) & k3_finseq_1(D)=k3_finseq_1(G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t73_finseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [E] :  (m2_finseq_1(E, A) =>  (! [F] :  (m2_finseq_1(F, B) =>  (k3_funcop_1(D, k6_finseq_1(A), F)=k6_finseq_1(C) & k3_funcop_1(D, E, k6_finseq_1(B))=k6_finseq_1(C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t74_finseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, B) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(A, B), C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [G] :  (m2_finseq_1(G, A) =>  (! [H] :  (m2_finseq_1(H, B) =>  ( (G=k12_finseq_1(A, D) & H=k12_finseq_1(B, E))  => k3_funcop_1(F, G, H)=k12_finseq_1(C, k2_binop_1(A, B, C, F, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_finseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, B) =>  (! [G] :  (m1_subset_1(G, B) =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k2_zfmisc_1(A, B), C) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [I] :  (m2_finseq_1(I, A) =>  (! [J] :  (m2_finseq_1(J, B) =>  ( (I=k10_finseq_1(D, E) & J=k10_finseq_1(F, G))  => k3_funcop_1(H, I, J)=k10_finseq_1(k2_binop_1(A, B, C, H, D, F), k2_binop_1(A, B, C, H, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t76_finseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, B) =>  (! [H] :  (m1_subset_1(H, B) =>  (! [I] :  (m1_subset_1(I, B) =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, k2_zfmisc_1(A, B), C) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [K] :  (m2_finseq_1(K, A) =>  (! [L] :  (m2_finseq_1(L, B) =>  ( (K=k11_finseq_1(D, E, F) & L=k11_finseq_1(G, H, I))  => k3_funcop_1(J, K, L)=k11_finseq_1(k2_binop_1(A, B, C, J, D, G), k2_binop_1(A, B, C, J, E, H), k2_binop_1(A, B, C, J, F, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t77_finseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, B), C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [F] :  (m2_finseq_1(F, B) => m2_finseq_1(k5_funcop_1(E, D, F), C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t78_finseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(A, B), C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [G] :  (m2_finseq_1(G, B) =>  (E=k5_funcop_1(F, D, G) => k3_finseq_1(E)=k3_finseq_1(G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t79_finseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, B), C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  => k5_funcop_1(E, D, k6_finseq_1(B))=k6_finseq_1(C)) ) ) ) ) ) ) ) ) ) ).
fof(t80_finseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, B) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(A, B), C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [G] :  (m2_finseq_1(G, B) =>  (G=k12_finseq_1(B, E) => k5_funcop_1(F, D, G)=k12_finseq_1(C, k2_binop_1(A, B, C, F, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t81_finseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, B) =>  (! [F] :  (m1_subset_1(F, B) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(A, B), C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [H] :  (m2_finseq_1(H, B) =>  (H=k10_finseq_1(E, F) => k5_funcop_1(G, D, H)=k10_finseq_1(k2_binop_1(A, B, C, G, D, E), k2_binop_1(A, B, C, G, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t82_finseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, B) =>  (! [F] :  (m1_subset_1(F, B) =>  (! [G] :  (m1_subset_1(G, B) =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k2_zfmisc_1(A, B), C) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [I] :  (m2_finseq_1(I, B) =>  (I=k11_finseq_1(E, F, G) => k5_funcop_1(H, D, I)=k11_finseq_1(k2_binop_1(A, B, C, H, D, E), k2_binop_1(A, B, C, H, D, F), k2_binop_1(A, B, C, H, D, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t83_finseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, B), C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [F] :  (m2_finseq_1(F, A) => m2_finseq_1(k4_funcop_1(E, F, D), C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t84_finseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(A, B), C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [G] :  (m2_finseq_1(G, A) =>  (E=k4_funcop_1(F, G, D) => k3_finseq_1(E)=k3_finseq_1(G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t85_finseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, B), C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  => k4_funcop_1(E, k6_finseq_1(A), D)=k6_finseq_1(C)) ) ) ) ) ) ) ) ) ) ).
fof(t86_finseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, B) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(A, B), C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [G] :  (m2_finseq_1(G, A) =>  (G=k12_finseq_1(A, D) => k4_funcop_1(F, G, E)=k12_finseq_1(C, k2_binop_1(A, B, C, F, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t87_finseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, B) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(A, B), C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [H] :  (m2_finseq_1(H, A) =>  (H=k10_finseq_1(D, E) => k4_funcop_1(G, H, F)=k10_finseq_1(k2_binop_1(A, B, C, G, D, F), k2_binop_1(A, B, C, G, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t88_finseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, B) =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k2_zfmisc_1(A, B), C) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [I] :  (m2_finseq_1(I, A) =>  (I=k11_finseq_1(D, E, F) => k4_funcop_1(H, I, G)=k11_finseq_1(k2_binop_1(A, B, C, H, D, G), k2_binop_1(A, B, C, H, E, G), k2_binop_1(A, B, C, H, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_finseq_2, axiom,  (! [A] :  (! [B] :  (m1_finseq_2(B, A) <=>  (! [C] :  (r2_hidden(C, B) => m2_finseq_1(C, A)) ) ) ) ) ).
fof(t89_finseq_2, axiom,  (! [A] : m1_finseq_2(k13_finseq_1(A), A)) ).
fof(t90_finseq_2, axiom,  (! [A] :  (! [B] :  (m1_finseq_2(B, A) => r1_tarski(B, k3_finseq_2(A))) ) ) ).
fof(t91_finseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_finseq_2(C, B) => m1_finseq_2(C, A)) ) ) ) ) ) ).
fof(t92_finseq_2, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) => m2_finseq_2(B, A, k4_finseq_2(k3_finseq_1(B), A))) ) ) ).
fof(t93_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] : k4_finseq_2(A, B)=k1_funct_2(k1_finseq_1(A), B)) ) ) ).
fof(t94_finseq_2, axiom,  (! [A] : k4_finseq_2(k5_numbers, A)=k1_tarski(k6_finseq_1(A))) ).
fof(t95_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v3_card_1(C, k5_numbers) & m2_finseq_1(C, B))  =>  (! [D] :  ( (v3_card_1(D, A) & m2_finseq_1(D, B))  =>  (k8_finseq_1(B, C, D)=D & k8_finseq_1(B, D, C)=D) ) ) ) ) ) ) ) ) ).
fof(t97_finseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_card_1(B, 1) & m2_finseq_1(B, A))  =>  (? [C] :  (m1_subset_1(C, A) & B=k12_finseq_1(A, C)) ) ) ) ) ) ).
fof(t98_finseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) => r2_tarski(k12_finseq_1(A, B), k4_finseq_2(1, A))) ) ) ) ).
fof(t100_finseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_card_1(B, 2) & m2_finseq_1(B, A))  =>  (? [C] :  (m1_subset_1(C, A) &  (? [D] :  (m1_subset_1(D, A) & B=k10_finseq_1(C, D)) ) ) ) ) ) ) ) ).
fof(t101_finseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) => r2_tarski(k10_finseq_1(B, C), k4_finseq_2(2, A))) ) ) ) ) ) ).
fof(t103_finseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_card_1(B, 3) & m2_finseq_1(B, A))  =>  (? [C] :  (m1_subset_1(C, A) &  (? [D] :  (m1_subset_1(D, A) &  (? [E] :  (m1_subset_1(E, A) & B=k11_finseq_1(C, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(t104_finseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) => r2_tarski(k11_finseq_1(B, C, D), k4_finseq_2(3, A))) ) ) ) ) ) ) ) ).
fof(t106_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v3_card_1(D, k2_xcmplx_0(A, B)) & m2_finseq_1(D, C))  =>  (? [E] :  (m2_finseq_2(E, C, k4_finseq_2(A, C)) &  (? [F] :  (m2_finseq_2(F, C, k4_finseq_2(B, C)) & D=k8_finseq_1(C, E, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t107_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v3_card_1(D, A) & m2_finseq_1(D, C))  =>  (! [E] :  ( (v3_card_1(E, B) & m2_finseq_1(E, C))  =>  (v3_card_1(k8_finseq_1(C, D, E), k2_xcmplx_0(A, B)) & m2_finseq_1(k8_finseq_1(C, D, E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t109_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(B)))  =>  (! [D] :  ( (v3_card_1(D, A) & m2_finseq_1(D, C))  => m2_finseq_2(D, B, k4_finseq_2(A, B))) ) ) ) ) ) ) ) ).
fof(t110_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (k4_finseq_2(A, D)=k4_finseq_2(B, C) => A=B) ) ) ) ) ) ) ) ).
fof(t111_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) => m2_finseq_2(k1_finseq_2(A), k4_ordinal1, k4_finseq_2(A, k4_ordinal1))) ) ).
fof(t112_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) => m2_finseq_2(k2_finseq_2(A, C), B, k4_finseq_2(A, B))) ) ) ) ) ) ).
fof(t113_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v3_card_1(D, A) & m2_finseq_1(D, B))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  => m2_finseq_2(k1_partfun1(k4_ordinal1, B, B, C, D, E), C, k4_finseq_2(A, C))) ) ) ) ) ) ) ) ) ) ).
fof(t114_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, B))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_finseq_1(A), k1_finseq_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_finseq_1(A), k1_finseq_1(A))))) )  =>  (k10_xtuple_0(D)=k1_finseq_1(A) => m2_finseq_2(k1_partfun1(k1_finseq_1(A), k1_finseq_1(A), k4_ordinal1, B, D, C), B, k4_finseq_2(A, B))) ) ) ) ) ) ) ) ) ).
fof(t115_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, B))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_finseq_1(A), k1_finseq_1(A)) &  (v3_funct_2(D, k1_finseq_1(A), k1_finseq_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_finseq_1(A), k1_finseq_1(A))))) ) )  =>  (v3_card_1(k1_partfun1(k1_finseq_1(A), k1_finseq_1(A), k4_ordinal1, B, D, C), A) & m2_finseq_1(k1_partfun1(k1_finseq_1(A), k1_finseq_1(A), k4_ordinal1, B, D, C), B)) ) ) ) ) ) ) ) ) ).
fof(t116_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, B))  =>  (! [D] :  (m1_subset_1(D, B) => k1_funct_1(k8_finseq_1(B, C, k12_finseq_1(B, D)), k1_nat_1(A, 1))=D) ) ) ) ) ) ) ) ).
fof(t117_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v3_card_1(C, k1_nat_1(A, 1)) & m2_finseq_1(C, B))  =>  (? [D] :  (m2_finseq_2(D, B, k4_finseq_2(A, B)) &  (? [E] :  (m1_subset_1(E, B) & C=k8_finseq_1(B, D, k12_finseq_1(B, E))) ) ) ) ) ) ) ) ) ) ).
fof(t118_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, B))  => k3_relat_1(k1_finseq_2(A), C)=C) ) ) ) ) ) ).
fof(t119_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, B))  =>  (! [D] :  ( (v3_card_1(D, A) & m2_finseq_1(D, B))  =>  ( (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k1_finseq_1(A)) => k1_funct_1(C, E)=k1_funct_1(D, E)) ) )  => C=D) ) ) ) ) ) ) ) ) ).
fof(t120_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, C), D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), D)))) )  =>  (! [F] :  ( (v3_card_1(F, A) & m2_finseq_1(F, B))  =>  (! [G] :  ( (v3_card_1(G, A) & m2_finseq_1(G, C))  => m2_finseq_2(k3_funcop_1(E, F, G), D, k4_finseq_2(A, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t121_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_subset_1(E, B) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(B, C), D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), D)))) )  =>  (! [G] :  ( (v3_card_1(G, A) & m2_finseq_1(G, C))  => m2_finseq_2(k5_funcop_1(F, E, G), D, k4_finseq_2(A, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t122_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_subset_1(E, C) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(B, C), D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), D)))) )  =>  (! [G] :  ( (v3_card_1(G, A) & m2_finseq_1(G, B))  => m2_finseq_2(k4_funcop_1(F, G, E), D, k4_finseq_2(A, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t123_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] : k2_finseq_2(k2_xcmplx_0(A, B), C)=k7_finseq_1(k2_finseq_2(A, C), k2_finseq_2(B, C))) ) ) ) ) ).
fof(t124_finseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_card_1(C, B) & m2_finseq_1(C, A))  => k4_finseq_1(C)=k1_finseq_1(B)) ) ) ) ) ) ).
fof(t125_finseq_2, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  ( (r2_tarski(B, k9_xtuple_0(A)) & r2_tarski(C, k9_xtuple_0(A)))  => k3_relat_1(k10_finseq_1(B, C), A)=k10_finseq_1(k1_funct_1(A, B), k1_funct_1(A, C))) ) ) ) ) ).
fof(t126_finseq_2, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (! [D] :  ( (r2_tarski(B, k9_xtuple_0(A)) &  (r2_tarski(C, k9_xtuple_0(A)) & r2_tarski(D, k9_xtuple_0(A))) )  => k3_relat_1(k11_finseq_1(B, C, D), A)=k11_finseq_1(k1_funct_1(A, B), k1_funct_1(A, C), k1_funct_1(A, D))) ) ) ) ) ) ).
fof(t127_finseq_2, axiom,  (! [A] :  (! [B] : k10_xtuple_0(k10_finseq_1(A, B))=k2_tarski(A, B)) ) ).
fof(t128_finseq_2, axiom,  (! [A] :  (! [B] :  (! [C] : k10_xtuple_0(k11_finseq_1(A, B, C))=k1_enumset1(A, B, C)) ) ) ).
fof(t129_finseq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ( (r1_tarski(A, C) &  (r1_tarski(B, C) & k3_finseq_1(A)=k3_finseq_1(B)) )  => A=B) ) ) ) ) ) ) ).
fof(t130_finseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  ~ ( ( ~ (B=k1_xboole_0)  &  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  ~ (B=k8_finseq_1(A, k12_finseq_1(A, D), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t131_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, B))  <=> r2_tarski(C, k4_finseq_2(A, B))) ) ) ) ) ) ).
fof(t132_finseq_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r2_tarski(C, k4_finseq_2(B, A)) <=>  (k3_finseq_1(C)=B & r1_tarski(k10_xtuple_0(C), A)) ) ) ) ) ) ) ).
fof(t133_finseq_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r2_tarski(C, k4_finseq_2(B, A)) <=> k3_finseq_1(C)=B) ) ) ) ) ) ).
fof(t134_finseq_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k4_ordinal1) => r1_tarski(k4_finseq_2(B, A), k3_finseq_2(A))) ) ) ).
fof(t135_finseq_2, axiom,  (! [A] :  (! [B] :  (r2_hidden(B, k4_finseq_2(1, A)) <=>  (? [C] :  (r2_tarski(C, A) & B=k9_finseq_1(C)) ) ) ) ) ).
fof(t136_finseq_2, axiom,  (! [A] :  (! [B] :  (r2_tarski(k9_finseq_1(B), k4_finseq_2(1, A)) => r2_hidden(B, A)) ) ) ).
fof(t137_finseq_2, axiom,  (! [A] :  (! [B] :  (r2_hidden(B, k4_finseq_2(2, A)) <=>  (? [C] :  (? [D] :  (r2_hidden(C, A) &  (r2_hidden(D, A) & B=k10_finseq_1(C, D)) ) ) ) ) ) ) ).
fof(t138_finseq_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_tarski(k10_finseq_1(B, C), k4_finseq_2(2, A)) =>  (r2_hidden(B, A) & r2_hidden(C, A)) ) ) ) ) ).
fof(t139_finseq_2, axiom,  (! [A] :  (! [B] :  (r2_hidden(B, k4_finseq_2(3, A)) <=>  (? [C] :  (? [D] :  (? [E] :  (r2_hidden(C, A) &  (r2_hidden(D, A) &  (r2_hidden(E, A) & B=k11_finseq_1(C, D, E)) ) ) ) ) ) ) ) ) ).
fof(t140_finseq_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (r2_tarski(k11_finseq_1(B, C, D), k4_finseq_2(3, A)) =>  (r2_hidden(B, A) &  (r2_hidden(C, A) & r2_hidden(D, A)) ) ) ) ) ) ) ).
fof(t141_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  (r2_hidden(C, k4_finseq_2(A, B)) =>  (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) ) ) ) ) ) ) ).
fof(t142_finseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) => r1_tarski(k4_finseq_2(B, A), k3_finseq_2(A))) ) ) ) ).
fof(t143_finseq_2, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (k2_finseq_2(C, A)=k2_finseq_2(B, A) => C=B) ) ) ) ) ) ).
fof(d5_finseq_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k3_finseq_2(A)) &  (v1_funct_1(C) & v1_partfun1(C, k3_finseq_2(A))) ) )  =>  (C=k6_finseq_2(A, B) <=>  (! [D] :  (m2_finseq_2(D, A, k3_finseq_2(A)) => k1_funct_1(C, D)=k4_card_3(k3_relat_1(D, B))) ) ) ) ) ) ) ) ).
fof(d6_finseq_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k3_finseq_2(k1_tarski(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k3_finseq_2(k1_tarski(A)))))) )  =>  (B=k7_finseq_2(A) <=>  (! [C] :  (v7_ordinal1(C) => k1_funct_1(B, C)=k2_finseq_2(C, A)) ) ) ) ) ) ).
fof(t144_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] : k3_relat_1(k2_finseq_2(A, B), k17_funcop_1(B, C))=k2_finseq_2(A, C)) ) ) ) ).
fof(t145_finseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k1_tarski(C)) &  (v1_funct_1(D) & v1_partfun1(D, k1_tarski(C))) ) )  =>  (D=k17_funcop_1(C, A) => k1_funct_1(k3_relat_1(k7_finseq_2(C), k6_finseq_2(k1_tarski(C), D)), B)=k9_funct_2(k2_finseq_1(B), A)) ) ) ) ) ) ) ) ).
fof(s1_finseq_2, axiom,  (? [A] :  (m2_finseq_1(A, f2_s1_finseq_2) &  (k3_finseq_1(A)=f1_s1_finseq_2 &  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k4_finseq_1(A)) => k1_funct_1(A, B)=f3_s1_finseq_2(B)) ) ) ) ) ) ).
fof(s2_finseq_2, axiom,  ( (p1_s2_finseq_2(k6_finseq_1(f1_s2_finseq_2)) &  (! [A] :  (m2_finseq_1(A, f1_s2_finseq_2) =>  (! [B] :  (m1_subset_1(B, f1_s2_finseq_2) =>  (p1_s2_finseq_2(A) => p1_s2_finseq_2(k7_finseq_1(A, k9_finseq_1(B)))) ) ) ) ) )  =>  (! [A] :  (m2_finseq_1(A, f1_s2_finseq_2) => p1_s2_finseq_2(A)) ) ) ).
fof(dt_f1_s1_finseq_2, axiom, v7_ordinal1(f1_s1_finseq_2)).
fof(dt_f2_s1_finseq_2, axiom,  ~ (v1_xboole_0(f2_s1_finseq_2)) ).
fof(dt_f3_s1_finseq_2, axiom,  (! [A] : m1_subset_1(f3_s1_finseq_2(A), f2_s1_finseq_2)) ).
fof(dt_k1_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_relat_1(k1_finseq_2(A)) &  (v1_funct_1(k1_finseq_2(A)) & v1_finseq_1(k1_finseq_2(A))) ) ) ) ).
fof(dt_k2_finseq_2, axiom,  (! [A, B] :  (v7_ordinal1(A) =>  (v1_relat_1(k2_finseq_2(A, B)) &  (v1_funct_1(k2_finseq_2(A, B)) & v1_finseq_1(k2_finseq_2(A, B))) ) ) ) ).
fof(existence_m1_finseq_2, axiom,  (! [A] :  (? [B] : m1_finseq_2(B, A)) ) ).
fof(dt_m2_finseq_2, axiom,  (! [A, B] :  (m1_finseq_2(B, A) =>  (! [C] :  (m2_finseq_2(C, A, B) => m2_finseq_1(C, A)) ) ) ) ).
fof(existence_m2_finseq_2, axiom,  (! [A, B] :  (m1_finseq_2(B, A) =>  (? [C] : m2_finseq_2(C, A, B)) ) ) ).
fof(redefinition_m2_finseq_2, axiom,  (! [A, B] :  (m1_finseq_2(B, A) =>  (! [C] :  (m2_finseq_2(C, A, B) <=> m1_subset_1(C, B)) ) ) ) ).
fof(dt_k3_finseq_2, axiom,  (! [A] : m1_finseq_2(k3_finseq_2(A), A)) ).
fof(redefinition_k3_finseq_2, axiom,  (! [A] : k3_finseq_2(A)=k13_finseq_1(A)) ).
fof(dt_k4_finseq_2, axiom,  (! [A, B] :  (v7_ordinal1(A) => m1_finseq_2(k4_finseq_2(A, B), B)) ) ).
fof(dt_k5_finseq_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) & m1_subset_1(C, A)) )  => m2_finseq_2(k5_finseq_2(A, B, C), A, k4_finseq_2(B, A))) ) ).
fof(redefinition_k5_finseq_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) & m1_subset_1(C, A)) )  => k5_finseq_2(A, B, C)=k2_finseq_2(B, C)) ) ).
fof(dt_k6_finseq_2, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v1_relat_1(k6_finseq_2(A, B)) &  (v4_relat_1(k6_finseq_2(A, B), k3_finseq_2(A)) &  (v1_funct_1(k6_finseq_2(A, B)) & v1_partfun1(k6_finseq_2(A, B), k3_finseq_2(A))) ) ) ) ) ).
fof(dt_k7_finseq_2, axiom,  (! [A] :  (v1_funct_1(k7_finseq_2(A)) &  (v1_funct_2(k7_finseq_2(A), k4_ordinal1, k3_finseq_2(k1_tarski(A))) & m1_subset_1(k7_finseq_2(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k3_finseq_2(k1_tarski(A)))))) ) ) ).
fof(dt_k8_finseq_2, axiom,  (! [A, B, C, D] :  ( (m1_finseq_2(B, A) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  & v7_ordinal1(D)) )  => m2_finseq_1(k8_finseq_2(A, B, C, D), A)) ) ).
fof(redefinition_k8_finseq_2, axiom,  (! [A, B, C, D] :  ( (m1_finseq_2(B, A) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  & v7_ordinal1(D)) )  => k8_finseq_2(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(d4_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] : k4_finseq_2(A, B)=a_2_0_finseq_2(A, B)) ) ) ).
fof(t96_finseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k4_finseq_2(1, A)=a_1_0_finseq_2(A)) ) ).
fof(t99_finseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k4_finseq_2(2, A)=a_1_1_finseq_2(A)) ) ).
fof(t102_finseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k4_finseq_2(3, A)=a_1_2_finseq_2(A)) ) ).
fof(t105_finseq_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  => k4_finseq_2(k2_xcmplx_0(A, B), C)=a_3_0_finseq_2(A, B, C)) ) ) ) ) ) ).
fof(t108_finseq_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k3_finseq_2(A)=k3_tarski(a_1_3_finseq_2(A))) ) ).
fof(fraenkel_a_2_0_finseq_2, axiom,  (! [A, B, C] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_2_0_finseq_2(B, C)) <=>  (? [D] :  (m2_finseq_2(D, C, k3_finseq_2(C)) &  (A=D & k3_finseq_1(D)=B) ) ) ) ) ) ).
fof(fraenkel_a_1_0_finseq_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (r2_hidden(A, a_1_0_finseq_2(B)) <=>  (? [C] :  (m1_subset_1(C, B) & A=k12_finseq_1(B, C)) ) ) ) ) ).
fof(fraenkel_a_1_1_finseq_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (r2_hidden(A, a_1_1_finseq_2(B)) <=>  (? [C, D] :  ( (m1_subset_1(C, B) & m1_subset_1(D, B))  & A=k10_finseq_1(C, D)) ) ) ) ) ).
fof(fraenkel_a_1_2_finseq_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (r2_hidden(A, a_1_2_finseq_2(B)) <=>  (? [C, D, E] :  ( (m1_subset_1(C, B) &  (m1_subset_1(D, B) & m1_subset_1(E, B)) )  & A=k11_finseq_1(C, D, E)) ) ) ) ) ).
fof(fraenkel_a_3_0_finseq_2, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(B) &  (v7_ordinal1(C) &  ~ (v1_xboole_0(D)) ) )  =>  (r2_hidden(A, a_3_0_finseq_2(B, C, D)) <=>  (? [E, F] :  ( ( (v3_card_1(E, B) & m2_finseq_1(E, D))  &  (v3_card_1(F, C) & m2_finseq_1(F, D)) )  & A=k8_finseq_1(D, E, F)) ) ) ) ) ).
fof(fraenkel_a_1_3_finseq_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (r2_hidden(A, a_1_3_finseq_2(B)) <=>  (? [C] :  (v7_ordinal1(C) & A=k4_finseq_2(C, B)) ) ) ) ) ).
fof(fc1_finseq_3, axiom,  (! [A, B] :  (v7_ordinal1(A) => v2_card_3(k4_finseq_2(A, B))) ) ).
fof(fc2_finseq_3, axiom,  (! [A, B] :  (v7_ordinal1(A) => v3_card_3(k4_finseq_2(A, B))) ) ).
fof(fc3_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v1_funcop_1(k5_finseq_1(A))) ) ).
fof(fc4_finseq_3, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  => v1_funcop_1(k10_finseq_1(A, B))) ) ).
fof(fc5_finseq_3, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  ( (v1_relat_1(B) & v1_funct_1(B))  &  (v1_relat_1(C) & v1_funct_1(C)) ) )  => v1_funcop_1(k11_finseq_1(A, B, C))) ) ).
fof(fc6_finseq_3, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v1_finset_1(B))  => v1_finset_1(k4_finseq_2(A, B))) ) ).
fof(t1_finseq_3, axiom, k2_finseq_1(3)=k1_enumset1(1, 2, 3)).
fof(t2_finseq_3, axiom, k2_finseq_1(4)=k2_enumset1(1, 2, 3, 4)).
fof(t3_finseq_3, axiom, k2_finseq_1(5)=k3_enumset1(1, 2, 3, 4, 5)).
fof(t4_finseq_3, axiom, k2_finseq_1(6)=k4_enumset1(1, 2, 3, 4, 5, 6)).
fof(t5_finseq_3, axiom, k2_finseq_1(7)=k5_enumset1(1, 2, 3, 4, 5, 6, 7)).
fof(t6_finseq_3, axiom, k2_finseq_1(8)=k6_enumset1(1, 2, 3, 4, 5, 6, 7, 8)).
fof(t7_finseq_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (k2_finseq_1(A)=k1_xboole_0 <=>  ~ (r2_tarski(A, k2_finseq_1(A))) ) ) ) ).
fof(t8_finseq_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ (r2_tarski(k1_nat_1(A, 1), k2_finseq_1(A))) ) ) ).
fof(t9_finseq_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (A=k5_numbers)  => r2_tarski(A, k2_finseq_1(k2_xcmplx_0(A, B)))) ) ) ) ) ).
fof(t10_finseq_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(k2_xcmplx_0(A, B), k2_finseq_1(A)) => B=k5_numbers) ) ) ) ) ).
fof(t11_finseq_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(B, A))  => r2_tarski(k1_nat_1(A, 1), k2_finseq_1(B))) ) ) ) ) ).
fof(t12_finseq_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(A, k2_finseq_1(C)) =>  (r1_xxreal_0(A, B) | r2_tarski(k6_xcmplx_0(A, B), k2_finseq_1(C))) ) ) ) ) ) ) ) ).
fof(t13_finseq_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(k6_xcmplx_0(A, B), k2_finseq_1(A)) <=>  ~ (r1_xxreal_0(A, B)) ) ) ) ) ) ).
fof(t14_finseq_3, axiom,  (! [A] :  (v7_ordinal1(A) => r1_xboole_0(k2_finseq_1(A), k1_tarski(k1_nat_1(A, 1)))) ) ).
fof(t15_finseq_3, axiom,  (! [A] :  (v7_ordinal1(A) => k7_subset_1(k4_ordinal1, k2_finseq_1(k1_nat_1(A, 1)), k2_finseq_1(A))=k1_tarski(k1_nat_1(A, 1))) ) ).
fof(t16_finseq_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ (k2_finseq_1(A)=k2_finseq_1(k1_nat_1(A, 1))) ) ) ).
fof(t17_finseq_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (k2_finseq_1(A)=k2_finseq_1(k2_xcmplx_0(A, B)) => B=k5_numbers) ) ) ) ) ).
fof(t18_finseq_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => r1_tarski(k2_finseq_1(A), k2_finseq_1(k2_xcmplx_0(A, B)))) ) ) ) ).
fof(t19_finseq_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => r3_xboole_0(k2_finseq_1(A), k2_finseq_1(B))) ) ) ) ).
fof(t20_finseq_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (k2_finseq_1(A)=k1_tarski(B) =>  (A=1 & B=1) ) ) ) ) ).
fof(t21_finseq_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  (k2_finseq_1(C)=k2_tarski(A, B) =>  (A=B |  (C=2 & k2_tarski(A, B)=k2_tarski(1, 2)) ) ) ) ) ) ) ).
fof(t22_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (r2_hidden(C, k1_relset_1(k4_ordinal1, A)) => r2_hidden(C, k1_relset_1(k4_ordinal1, k7_finseq_1(A, B)))) ) ) ) ) ) ).
fof(t23_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (r2_hidden(B, k1_relset_1(k4_ordinal1, A)) => m1_subset_1(B, k4_ordinal1)) ) ) ) ).
fof(t24_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ~ ( (r2_hidden(B, k1_relset_1(k4_ordinal1, A)) & B=k5_numbers) ) ) ) ) ).
fof(t25_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k1_relset_1(k4_ordinal1, A)) <=>  (r1_xxreal_0(1, B) & r1_xxreal_0(B, k3_finseq_1(A))) ) ) ) ) ) ).
fof(t26_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k1_relset_1(k4_ordinal1, A)) <=>  (m1_subset_1(k6_xcmplx_0(B, 1), k4_ordinal1) & m1_subset_1(k6_xcmplx_0(k3_finseq_1(A), B), k4_ordinal1)) ) ) ) ) ) ).
fof(t29_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (k3_finseq_1(A)=k3_finseq_1(B) <=> k1_relset_1(k4_ordinal1, A)=k1_relset_1(k4_ordinal1, B)) ) ) ) ) ).
fof(t30_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r1_xxreal_0(k3_finseq_1(A), k3_finseq_1(B)) <=> r1_tarski(k1_relset_1(k4_ordinal1, A), k1_relset_1(k4_ordinal1, B))) ) ) ) ) ).
fof(t31_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (r2_hidden(B, k10_xtuple_0(A)) => r2_tarski(1, k1_relset_1(k4_ordinal1, A))) ) ) ) ).
fof(t32_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  ( ~ (k10_xtuple_0(A)=k1_xboole_0)  => r2_tarski(1, k1_relset_1(k4_ordinal1, A))) ) ) ).
fof(t33_finseq_3, axiom,  (! [A] :  (! [B] :  ~ (k1_xboole_0=k10_finseq_1(A, B)) ) ) ).
fof(t34_finseq_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ (k1_xboole_0=k11_finseq_1(A, B, C)) ) ) ) ).
fof(t35_finseq_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ (k9_finseq_1(A)=k10_finseq_1(B, C)) ) ) ) ).
fof(t36_finseq_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ~ (k9_finseq_1(A)=k11_finseq_1(B, C, D)) ) ) ) ) ).
fof(t37_finseq_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ~ (k10_finseq_1(A, B)=k11_finseq_1(C, D, E)) ) ) ) ) ) ).
fof(t38_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ( (k3_finseq_1(C)=k1_nat_1(k3_finseq_1(A), k3_finseq_1(B)) &  ( (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k1_relset_1(k4_ordinal1, A)) => k1_funct_1(C, D)=k1_funct_1(A, D)) ) )  &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k1_relset_1(k4_ordinal1, B)) => k1_funct_1(C, k2_xcmplx_0(k3_finseq_1(A), D))=k1_funct_1(B, D)) ) ) ) )  => C=k7_finseq_1(A, B)) ) ) ) ) ) ) ).
fof(t39_finseq_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_finset_1(B) =>  (r1_tarski(B, k2_finseq_1(A)) => k3_finseq_1(k14_finseq_1(B))=k4_card_1(B)) ) ) ) ) ).
fof(t40_finseq_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_finset_1(B) =>  (r1_tarski(B, k2_finseq_1(A)) => k1_relset_1(k4_ordinal1, k14_finseq_1(B))=k2_finseq_1(k4_card_1(B))) ) ) ) ) ).
fof(t41_finseq_3, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r1_tarski(A, k2_finseq_1(B)) &  ( ~ (r1_xxreal_0(D, C))  &  (r1_xxreal_0(1, F) &  (r1_xxreal_0(E, k3_finseq_1(k14_finseq_1(A))) &  (k1_funct_1(k14_finseq_1(A), E)=C &  (k1_funct_1(k14_finseq_1(A), F)=D & r1_xxreal_0(F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_finseq_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_tarski(A, k2_finseq_1(C)) & r1_tarski(B, k2_finseq_1(D)))  =>  ( (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r2_tarski(E, A) &  (r2_tarski(F, B) & r1_xxreal_0(F, E)) ) ) ) ) ) )  <=> r2_relset_1(k4_ordinal1, k4_ordinal1, k14_finseq_1(k2_xboole_0(A, B)), k8_finseq_1(k4_ordinal1, k14_finseq_1(A), k14_finseq_1(B)))) ) ) ) ) ) ) ) ).
fof(t43_finseq_3, axiom, k14_finseq_1(k1_xboole_0)=k1_xboole_0).
fof(t44_finseq_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (k5_numbers=A)  => k14_finseq_1(k1_tarski(A))=k9_finseq_1(A)) ) ) ).
fof(t45_finseq_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  ( ~ (r1_xxreal_0(A, B))  &  ~ (k14_finseq_1(k2_tarski(B, A))=k10_finseq_1(B, A)) ) ) ) ) ) ) ) ).
fof(t46_finseq_3, axiom,  (! [A] :  (v7_ordinal1(A) => k3_finseq_1(k14_finseq_1(k2_finseq_1(A)))=A) ) ).
fof(t47_finseq_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => r2_relset_1(k4_ordinal1, k4_ordinal1, k2_partfun1(k4_ordinal1, k4_ordinal1, k14_finseq_1(k2_finseq_1(k2_xcmplx_0(A, B))), k2_finseq_1(A)), k14_finseq_1(k2_finseq_1(A)))) ) ) ) ).
fof(t48_finseq_3, axiom,  (! [A] :  (v7_ordinal1(A) => k14_finseq_1(k2_finseq_1(A))=k1_finseq_2(A)) ) ).
fof(t49_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (k5_relat_1(A, k2_finseq_1(B))=A <=> r1_xxreal_0(k3_finseq_1(A), B)) ) ) ) ) ).
fof(t50_finseq_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k5_relat_1(k1_finseq_2(k2_xcmplx_0(B, A)), k2_finseq_1(B))=k1_finseq_2(B)) ) ) ) ).
fof(t51_finseq_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (k5_relat_1(k1_finseq_2(B), k2_finseq_1(A))=k1_finseq_2(A) <=> r1_xxreal_0(A, B)) ) ) ) ) ).
fof(t52_finseq_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (k5_relat_1(k1_finseq_2(B), k2_finseq_1(A))=k1_finseq_2(B) <=> r1_xxreal_0(B, A)) ) ) ) ) ).
fof(t53_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (k3_finseq_1(A)=k2_xcmplx_0(C, D) & B=k5_relat_1(A, k2_finseq_1(C)))  => k3_finseq_1(B)=C) ) ) ) ) ) ) ) ) ).
fof(t54_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (k3_finseq_1(A)=k2_xcmplx_0(C, D) & B=k5_relat_1(A, k2_finseq_1(C)))  => k1_relset_1(k4_ordinal1, B)=k2_finseq_1(C)) ) ) ) ) ) ) ) ) ).
fof(t55_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( (k3_finseq_1(A)=k1_nat_1(C, 1) & B=k5_relat_1(A, k2_finseq_1(C)))  => A=k7_finseq_1(B, k9_finseq_1(k1_funct_1(A, k1_nat_1(C, 1))))) ) ) ) ) ) ) ).
fof(t56_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(k5_relat_1(A, B)) &  (v1_funct_1(k5_relat_1(A, B)) & v1_finseq_1(k5_relat_1(A, B))) )  <=>  (? [C] :  (m1_subset_1(C, k4_ordinal1) & k9_subset_1(k4_ordinal1, B, k1_relset_1(k4_ordinal1, A))=k2_finseq_1(C)) ) ) ) ) ) ).
fof(t57_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] : k4_card_1(k8_relat_1(k7_finseq_1(A, B), C))=k1_nat_1(k4_card_1(k8_relat_1(A, C)), k4_card_1(k8_relat_1(B, C)))) ) ) ) ) ).
fof(t58_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] : r1_tarski(k8_relat_1(A, C), k8_relat_1(k7_finseq_1(A, B), C))) ) ) ) ) ).
fof(d1_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] : k1_finseq_3(A, B)=k3_relat_1(k14_finseq_1(k7_subset_1(k4_ordinal1, k1_relset_1(k4_ordinal1, A), k8_relat_1(A, B))), A)) ) ) ).
fof(t59_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] : k3_finseq_1(k1_finseq_3(A, B))=k6_xcmplx_0(k3_finseq_1(A), k4_card_1(k8_relat_1(A, B)))) ) ) ).
fof(t60_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] : r1_xxreal_0(k3_finseq_1(k1_finseq_3(A, B)), k3_finseq_1(A))) ) ) ).
fof(t61_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (k3_finseq_1(k1_finseq_3(A, B))=k3_finseq_1(A) => r1_xboole_0(B, k10_xtuple_0(A))) ) ) ) ).
fof(t62_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  (C=k6_xcmplx_0(k3_finseq_1(A), k4_card_1(k8_relat_1(A, B))) => k1_relset_1(k4_ordinal1, k1_finseq_3(A, B))=k2_finseq_1(C)) ) ) ) ) ) ).
fof(t63_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] : r1_tarski(k1_relset_1(k4_ordinal1, k1_finseq_3(A, B)), k1_relset_1(k4_ordinal1, A))) ) ) ).
fof(t64_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (k1_relset_1(k4_ordinal1, k1_finseq_3(A, B))=k1_relset_1(k4_ordinal1, A) => r1_xboole_0(B, k10_xtuple_0(A))) ) ) ) ).
fof(t65_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] : k10_xtuple_0(k1_finseq_3(A, B))=k6_subset_1(k10_xtuple_0(A), B)) ) ) ).
fof(t66_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] : r1_tarski(k10_xtuple_0(k1_finseq_3(A, B)), k10_xtuple_0(A))) ) ) ).
fof(t67_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (k10_xtuple_0(k1_finseq_3(A, B))=k10_xtuple_0(A) => r1_xboole_0(B, k10_xtuple_0(A))) ) ) ) ).
fof(t68_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (k1_finseq_3(A, B)=k1_xboole_0 <=> r1_tarski(k10_xtuple_0(A), B)) ) ) ) ).
fof(t69_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (k1_finseq_3(A, B)=A <=> r1_xboole_0(B, k10_xtuple_0(A))) ) ) ) ).
fof(t70_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (k1_finseq_3(A, k1_tarski(B))=A <=>  ~ (r2_hidden(B, k10_xtuple_0(A))) ) ) ) ) ).
fof(t71_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k1_finseq_3(A, k1_xboole_0)=A) ) ).
fof(t72_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k1_finseq_3(A, k10_xtuple_0(A))=k1_xboole_0) ) ).
fof(t73_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] : k1_finseq_3(k7_finseq_1(A, B), C)=k7_finseq_1(k1_finseq_3(A, C), k1_finseq_3(B, C))) ) ) ) ) ).
fof(t74_finseq_3, axiom,  (! [A] : k1_finseq_3(k1_xboole_0, A)=k1_xboole_0) ).
fof(t75_finseq_3, axiom,  (! [A] :  (! [B] :  (k1_finseq_3(k9_finseq_1(A), B)=k9_finseq_1(A) <=>  ~ (r2_hidden(A, B)) ) ) ) ).
fof(t76_finseq_3, axiom,  (! [A] :  (! [B] :  (k1_finseq_3(k9_finseq_1(A), B)=k1_xboole_0 <=> r2_hidden(A, B)) ) ) ).
fof(t77_finseq_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (k1_finseq_3(k10_finseq_1(A, B), C)=k1_xboole_0 <=>  (r2_hidden(A, C) & r2_hidden(B, C)) ) ) ) ) ).
fof(t78_finseq_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_hidden(A, C) =>  (r2_hidden(B, C) | k1_finseq_3(k10_finseq_1(A, B), C)=k9_finseq_1(B)) ) ) ) ) ).
fof(t79_finseq_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (k1_finseq_3(k10_finseq_1(A, B), C)=k9_finseq_1(B) =>  (A=B |  (r2_hidden(A, C) &  ~ (r2_hidden(B, C)) ) ) ) ) ) ) ).
fof(t80_finseq_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_hidden(B, C) =>  (r2_hidden(A, C) | k1_finseq_3(k10_finseq_1(A, B), C)=k9_finseq_1(A)) ) ) ) ) ).
fof(t81_finseq_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (k1_finseq_3(k10_finseq_1(A, B), C)=k9_finseq_1(A) =>  (A=B |  ( ~ (r2_hidden(A, C))  & r2_hidden(B, C)) ) ) ) ) ) ).
fof(t82_finseq_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (k1_finseq_3(k10_finseq_1(A, B), C)=k10_finseq_1(A, B) <=>  ( ~ (r2_hidden(A, C))  &  ~ (r2_hidden(B, C)) ) ) ) ) ) ).
fof(t83_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (! [D] :  (v7_ordinal1(D) =>  ( (k3_finseq_1(A)=k1_nat_1(D, 1) & B=k5_relat_1(A, k2_finseq_1(D)))  =>  (r2_tarski(k1_funct_1(A, k1_nat_1(D, 1)), C) <=> k1_finseq_3(A, C)=k1_finseq_3(B, C)) ) ) ) ) ) ) ) ) ).
fof(t84_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (! [D] :  (v7_ordinal1(D) =>  ( (k3_finseq_1(A)=k1_nat_1(D, 1) & B=k5_relat_1(A, k2_finseq_1(D)))  =>  ( ~ (r2_tarski(k1_funct_1(A, k1_nat_1(D, 1)), C))  <=> k1_finseq_3(A, C)=k7_finseq_1(k1_finseq_3(B, C), k9_finseq_1(k1_funct_1(A, k1_nat_1(D, 1))))) ) ) ) ) ) ) ) ) ).
fof(t86_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (! [C] :  (m2_finseq_1(A, C) => m2_finseq_1(k1_finseq_3(A, B), C)) ) ) ) ) ).
fof(t87_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v2_funct_1(A) => v2_funct_1(k1_finseq_3(A, B))) ) ) ) ).
fof(t88_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v2_funct_1(A) => k3_finseq_1(k1_finseq_3(A, B))=k6_xcmplx_0(k3_finseq_1(A), k4_card_1(k3_xboole_0(B, k10_xtuple_0(A))))) ) ) ) ).
fof(t89_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v1_finset_1(B) =>  ( (v2_funct_1(A) & r1_tarski(B, k10_xtuple_0(A)))  => k3_finseq_1(k1_finseq_3(A, B))=k6_xcmplx_0(k3_finseq_1(A), k4_card_1(B))) ) ) ) ) ).
fof(t90_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v2_funct_1(A) & r2_hidden(B, k10_xtuple_0(A)))  => k3_finseq_1(k1_finseq_3(A, k1_tarski(B)))=k6_xcmplx_0(k3_finseq_1(A), 1)) ) ) ) ).
fof(t91_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( (r1_xboole_0(k10_xtuple_0(A), k10_xtuple_0(B)) &  (v2_funct_1(A) & v2_funct_1(B)) )  <=> v2_funct_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(t92_finseq_3, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (r1_tarski(A, k2_finseq_1(B)) => v2_funct_1(k14_finseq_1(A))) ) ) ) ).
fof(t93_finseq_3, axiom,  (! [A] : v2_funct_1(k9_finseq_1(A))) ).
fof(t94_finseq_3, axiom,  (! [A] :  (! [B] :  ( ~ (A=B)  <=> v2_funct_1(k10_finseq_1(A, B))) ) ) ).
fof(t95_finseq_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (A=B)  &  ( ~ (B=C)  &  ~ (C=A) ) )  <=> v2_funct_1(k11_finseq_1(A, B, C))) ) ) ) ).
fof(t96_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v2_funct_1(A) & k10_xtuple_0(A)=k1_tarski(B))  => k3_finseq_1(A)=1) ) ) ) ).
fof(t97_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v2_funct_1(A) & k10_xtuple_0(A)=k1_tarski(B))  => A=k9_finseq_1(B)) ) ) ) ).
fof(t98_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (! [C] :  ( (v2_funct_1(A) & k10_xtuple_0(A)=k2_tarski(B, C))  =>  (B=C | k3_finseq_1(A)=2) ) ) ) ) ) ).
fof(t99_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (! [C] :  ~ ( (v2_funct_1(A) &  (k10_xtuple_0(A)=k2_tarski(B, C) &  ( ~ (B=C)  &  ( ~ (A=k10_finseq_1(B, C))  &  ~ (A=k10_finseq_1(C, B)) ) ) ) ) ) ) ) ) ) ).
fof(t100_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (! [C] :  (! [D] :  ( (v2_funct_1(A) &  (k10_xtuple_0(A)=k1_enumset1(B, C, D) & v2_funct_1(k11_finseq_1(B, C, D))) )  => k3_finseq_1(A)=3) ) ) ) ) ) ).
fof(t101_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (! [C] :  (! [D] :  ( (v2_funct_1(A) & k10_xtuple_0(A)=k1_enumset1(B, C, D))  =>  (B=C |  (C=D |  (B=D | k3_finseq_1(A)=3) ) ) ) ) ) ) ) ) ).
fof(t102_finseq_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  ~ ( ( ~ (v1_xboole_0(B))  &  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  ~ ( (C=k1_funct_1(B, 1) & r2_relset_1(k4_ordinal1, A, B, k8_finseq_1(A, k12_finseq_1(A, C), D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t103_finseq_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (r2_tarski(A, k1_relset_1(k4_ordinal1, B)) => k1_funct_1(k7_finseq_1(k9_finseq_1(C), B), k1_nat_1(A, 1))=k1_funct_1(B, A)) ) ) ) ) ) ).
fof(d2_finseq_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => k2_finseq_3(A, B)=k3_relat_1(k14_finseq_1(k7_subset_1(k4_ordinal1, k1_relset_1(k4_ordinal1, B), k1_tarski(A))), B)) ) ) ) ).
fof(t104_finseq_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( ~ ( (r2_tarski(A, k1_relset_1(k4_ordinal1, B)) &  (! [C] :  (v7_ordinal1(C) =>  ~ ( (k3_finseq_1(B)=k1_nat_1(C, 1) & k3_finseq_1(k2_finseq_3(A, B))=C) ) ) ) ) )  &  ( ~ (r2_tarski(A, k1_relset_1(k4_ordinal1, B)))  => k2_finseq_3(A, B)=B) ) ) ) ) ) ).
fof(t105_finseq_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, B) => m2_finseq_1(k2_finseq_3(A, C), B)) ) ) ) ) ) ).
fof(t106_finseq_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => r1_tarski(k10_xtuple_0(k2_finseq_3(A, B)), k10_xtuple_0(B))) ) ) ) ).
fof(t107_finseq_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (C=k1_nat_1(B, 1) & r2_tarski(A, k2_finseq_1(C)))  => k3_finseq_1(k14_finseq_1(k7_subset_1(k4_ordinal1, k2_finseq_1(C), k1_tarski(A))))=B) ) ) ) ) ) ) ).
fof(t108_finseq_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (D=k1_nat_1(C, 1) &  (r2_tarski(B, k2_finseq_1(D)) & r2_tarski(A, k2_finseq_1(C))) )  =>  ( (r1_xxreal_0(1, A) =>  (r1_xxreal_0(B, A) | k1_funct_1(k14_finseq_1(k7_subset_1(k4_ordinal1, k2_finseq_1(D), k1_tarski(B))), A)=A) )  &  ( (r1_xxreal_0(B, A) & r1_xxreal_0(A, C))  => k1_funct_1(k14_finseq_1(k7_subset_1(k4_ordinal1, k2_finseq_1(D), k1_tarski(B))), A)=k1_nat_1(A, 1)) ) ) ) ) ) ) ) ) ) ) ).
fof(t109_finseq_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ( (k3_finseq_1(C)=k1_nat_1(A, 1) & r2_tarski(B, k1_relset_1(k4_ordinal1, C)))  => k3_finseq_1(k2_finseq_3(B, C))=A) ) ) ) ) ) ) ).
fof(t110_finseq_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ( ~ (r1_xxreal_0(B, A))  => k1_funct_1(k2_finseq_3(B, C), A)=k1_funct_1(C, A)) ) ) ) ) ) ) ).
fof(t111_finseq_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  ( (k3_finseq_1(D)=k1_nat_1(B, 1) &  (r2_tarski(C, k1_relset_1(k4_ordinal1, D)) &  (r1_xxreal_0(C, A) & r1_xxreal_0(A, B)) ) )  => k1_funct_1(k2_finseq_3(C, D), A)=k1_funct_1(D, k1_nat_1(A, 1))) ) ) ) ) ) ) ) ) ).
fof(t112_finseq_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r1_xxreal_0(A, B) => k1_funct_1(k16_finseq_1(B, C), A)=k1_funct_1(C, A)) ) ) ) ) ) ) ).
fof(t113_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r1_tarski(A, B) => k16_finseq_1(k3_finseq_1(A), B)=A) ) ) ) ) ).
fof(t114_finseq_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (v1_funct_1(k8_finseq_1(k4_ordinal1, k14_finseq_1(k8_relat_1(B, A)), k14_finseq_1(k8_relat_1(B, k6_subset_1(k10_xtuple_0(B), A))))) &  (v1_funct_2(k8_finseq_1(k4_ordinal1, k14_finseq_1(k8_relat_1(B, A)), k14_finseq_1(k8_relat_1(B, k6_subset_1(k10_xtuple_0(B), A)))), k1_relset_1(k4_ordinal1, B), k1_relset_1(k4_ordinal1, B)) &  (v3_funct_2(k8_finseq_1(k4_ordinal1, k14_finseq_1(k8_relat_1(B, A)), k14_finseq_1(k8_relat_1(B, k6_subset_1(k10_xtuple_0(B), A)))), k1_relset_1(k4_ordinal1, B), k1_relset_1(k4_ordinal1, B)) & m1_subset_1(k8_finseq_1(k4_ordinal1, k14_finseq_1(k8_relat_1(B, A)), k14_finseq_1(k8_relat_1(B, k6_subset_1(k10_xtuple_0(B), A)))), k1_zfmisc_1(k2_zfmisc_1(k1_relset_1(k4_ordinal1, B), k1_relset_1(k4_ordinal1, B))))) ) ) ) ) ) ).
fof(t115_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k10_xtuple_0(A))) =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_relset_1(k4_ordinal1, A), k1_relset_1(k4_ordinal1, A)) &  (v3_funct_2(C, k1_relset_1(k4_ordinal1, A), k1_relset_1(k4_ordinal1, A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_relset_1(k4_ordinal1, A), k1_relset_1(k4_ordinal1, A))))) ) )  & k7_finseq_1(k1_finseq_3(A, k3_subset_1(k10_xtuple_0(A), B)), k1_finseq_3(A, B))=k3_relat_1(C, A)) ) ) ) ) ) ).
fof(t116_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  =>  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k15_finseq_1(A)=A) ) ) ).
fof(t117_finseq_3, axiom,  (! [A] :  (m2_finseq_1(A, k4_numbers) => m2_finseq_1(A, k1_numbers)) ) ).
fof(t118_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( ~ (r1_xxreal_0(k3_finseq_1(B), k3_finseq_1(A)))  <=> r2_xboole_0(k1_relset_1(k4_ordinal1, A), k1_relset_1(k4_ordinal1, B))) ) ) ) ) ).
fof(t119_finseq_3, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  ( ( ~ (B=k5_numbers)  & A=k1_xboole_0)  <=> k4_finseq_2(B, A)=k1_xboole_0) ) ) ) ).
fof(t120_finseq_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (k1_relset_1(k4_ordinal1, k4_finseqop(A, B, C, D))=k1_relset_1(k4_ordinal1, C) &  (k3_finseq_1(k4_finseqop(A, B, C, D))=k3_finseq_1(C) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k1_relset_1(k4_ordinal1, k4_finseqop(A, B, C, D))) => k1_funct_1(k4_finseqop(A, B, C, D), E)=k1_funct_1(D, k1_funct_1(C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_finseq_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), k3_finseq_2(A)))) =>  (C=k3_finseq_3(A, B) <=>  (! [D] :  (m2_finseq_1(D, A) =>  (! [E] :  (m2_finseq_1(E, A) =>  (r2_hidden(k4_tarski(D, E), C) <=>  (k3_finseq_1(D)=k3_finseq_1(E) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k1_relset_1(k4_ordinal1, D)) => r2_hidden(k4_tarski(k1_funct_1(D, F), k1_funct_1(E, F)), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t121_finseq_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => r2_relset_1(k3_finseq_2(A), k3_finseq_2(A), k3_finseq_3(A, k6_partfun1(A)), k6_partfun1(k3_finseq_2(A)))) ) ).
fof(d4_finseq_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  (m2_finseq_1(C, k8_eqrel_1(A, B)) =>  (! [D] :  (m2_finseq_1(D, A) =>  (r1_finseq_3(A, B, C, D) <=>  (k3_finseq_1(D)=k3_finseq_1(C) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k1_relset_1(k4_ordinal1, D)) => k6_eqrel_1(A, A, B, k1_funct_1(D, E))=k1_funct_1(C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t122_finseq_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  (m2_finseq_1(C, k8_eqrel_1(A, B)) =>  (? [D] :  (m2_finseq_1(D, A) & r1_finseq_3(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t123_finseq_3, axiom,  (! [A] :  (! [B] :  (r2_hidden(A, k4_card_3(k9_finseq_1(B))) <=>  (? [C] :  (r2_hidden(C, B) & A=k9_finseq_1(C)) ) ) ) ) ).
fof(t124_finseq_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_hidden(A, k4_card_3(k10_finseq_1(B, C))) <=>  (? [D] :  (? [E] :  (r2_hidden(D, B) &  (r2_hidden(E, C) & A=k10_finseq_1(D, E)) ) ) ) ) ) ) ) ).
fof(t125_finseq_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (r2_hidden(A, k4_card_3(k11_finseq_1(B, C, D))) <=>  (? [E] :  (? [F] :  (? [G] :  (r2_hidden(E, B) &  (r2_hidden(F, C) &  (r2_hidden(G, D) & A=k11_finseq_1(E, F, G)) ) ) ) ) ) ) ) ) ) ) ).
fof(t126_finseq_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k4_card_3(k9_finseq_1(A))=k4_finseq_2(1, A)) ) ).
fof(t128_finseq_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k4_card_3(k10_finseq_1(A, A))=k4_finseq_2(2, A)) ) ).
fof(t130_finseq_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k4_card_3(k11_finseq_1(A, A, A))=k4_finseq_2(3, A)) ) ).
fof(t131_finseq_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] : k4_card_3(k2_finseq_2(A, B))=k4_finseq_2(A, B)) ) ) ).
fof(t132_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (k1_funct_6(k9_finseq_1(A))=k9_finseq_1(k9_xtuple_0(A)) & k2_funct_6(k9_finseq_1(A))=k9_finseq_1(k10_xtuple_0(A))) ) ) ).
fof(t133_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (k1_funct_6(k10_finseq_1(A, B))=k10_finseq_1(k9_xtuple_0(A), k9_xtuple_0(B)) & k2_funct_6(k10_finseq_1(A, B))=k10_finseq_1(k10_xtuple_0(A), k10_xtuple_0(B))) ) ) ) ) ).
fof(t134_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (k1_funct_6(k11_finseq_1(A, B, C))=k11_finseq_1(k9_xtuple_0(A), k9_xtuple_0(B), k9_xtuple_0(C)) & k2_funct_6(k11_finseq_1(A, B, C))=k11_finseq_1(k10_xtuple_0(A), k10_xtuple_0(B), k10_xtuple_0(C))) ) ) ) ) ) ) ).
fof(t135_finseq_3, axiom,  (! [A] :  (k3_card_3(k9_finseq_1(A))=A & k3_funct_6(k9_finseq_1(A))=A) ) ).
fof(t136_finseq_3, axiom,  (! [A] :  (! [B] :  (k3_card_3(k10_finseq_1(A, B))=k2_xboole_0(A, B) & k3_funct_6(k10_finseq_1(A, B))=k3_xboole_0(A, B)) ) ) ).
fof(t137_finseq_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (k3_card_3(k11_finseq_1(A, B, C))=k2_xboole_0(k2_xboole_0(A, B), C) & k3_funct_6(k11_finseq_1(A, B, C))=k3_xboole_0(k3_xboole_0(A, B), C)) ) ) ) ).
fof(t138_finseq_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r2_hidden(A, k9_xtuple_0(B)) =>  (k4_funct_6(k9_finseq_1(B), 1, A)=k1_funct_1(B, A) &  (k4_funct_6(k10_finseq_1(B, C), 1, A)=k1_funct_1(B, A) & k4_funct_6(k11_finseq_1(B, C, D), 1, A)=k1_funct_1(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(t139_finseq_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r2_hidden(A, k9_xtuple_0(C)) =>  (k4_funct_6(k10_finseq_1(B, C), 2, A)=k1_funct_1(C, A) & k4_funct_6(k11_finseq_1(B, C, D), 2, A)=k1_funct_1(C, A)) ) ) ) ) ) ) ) ) ).
fof(t140_finseq_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r2_hidden(A, k9_xtuple_0(D)) => k4_funct_6(k11_finseq_1(B, C, D), 3, A)=k1_funct_1(D, A)) ) ) ) ) ) ) ) ).
fof(t141_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (k9_xtuple_0(k5_funct_6(k9_finseq_1(A)))=k9_xtuple_0(A) &  (! [B] :  (r2_hidden(B, k9_xtuple_0(A)) => k1_funct_1(k5_funct_6(k9_finseq_1(A)), B)=k9_finseq_1(k1_funct_1(A, B))) ) ) ) ) ).
fof(t142_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (k9_xtuple_0(k5_funct_6(k10_finseq_1(A, B)))=k3_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)) &  (! [C] :  (r2_hidden(C, k3_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B))) => k1_funct_1(k5_funct_6(k10_finseq_1(A, B)), C)=k10_finseq_1(k1_funct_1(A, C), k1_funct_1(B, C))) ) ) ) ) ) ) ).
fof(t143_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (k9_xtuple_0(k6_funct_6(k9_finseq_1(A)))=k4_card_3(k9_finseq_1(k9_xtuple_0(A))) &  (k10_xtuple_0(k6_funct_6(k9_finseq_1(A)))=k4_card_3(k9_finseq_1(k10_xtuple_0(A))) &  (! [B] :  (r2_hidden(B, k9_xtuple_0(A)) => k1_funct_1(k6_funct_6(k9_finseq_1(A)), k9_finseq_1(B))=k9_finseq_1(k1_funct_1(A, B))) ) ) ) ) ) ).
fof(t144_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (k9_xtuple_0(k6_funct_6(k10_finseq_1(A, B)))=k4_card_3(k10_finseq_1(k9_xtuple_0(A), k9_xtuple_0(B))) &  (k10_xtuple_0(k6_funct_6(k10_finseq_1(A, B)))=k4_card_3(k10_finseq_1(k10_xtuple_0(A), k10_xtuple_0(B))) &  (! [C] :  (! [D] :  ( (r2_hidden(C, k9_xtuple_0(A)) & r2_hidden(D, k9_xtuple_0(B)))  => k1_funct_1(k6_funct_6(k10_finseq_1(A, B)), k10_finseq_1(C, D))=k10_finseq_1(k1_funct_1(A, C), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ).
fof(t145_finseq_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r2_hidden(A, k9_xtuple_0(B)) & r2_hidden(A, k9_xtuple_0(C)))  =>  (! [D] :  (! [E] :  (k1_funct_1(k13_funct_3(B, C), A)=k4_tarski(D, E) <=> k1_funct_1(k5_funct_6(k10_finseq_1(B, C)), A)=k10_finseq_1(D, E)) ) ) ) ) ) ) ) ) ).
fof(t146_finseq_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (r2_hidden(A, k9_xtuple_0(C)) & r2_hidden(B, k9_xtuple_0(D)))  =>  (! [E] :  (! [F] :  (k1_binop_1(k15_funct_3(C, D), A, B)=k4_tarski(E, F) <=> k1_funct_1(k6_funct_6(k10_finseq_1(C, D)), k10_finseq_1(A, B))=k10_finseq_1(E, F)) ) ) ) ) ) ) ) ) ) ).
fof(t147_finseq_3, axiom,  (! [A] :  (! [B] : k7_funct_6(k9_finseq_1(A), B)=k9_finseq_1(k1_funct_2(A, B))) ) ).
fof(t148_finseq_3, axiom,  (! [A] :  (! [B] :  (! [C] : k7_funct_6(k10_finseq_1(A, B), C)=k10_finseq_1(k1_funct_2(A, C), k1_funct_2(B, C))) ) ) ).
fof(t149_finseq_3, axiom,  (! [A] :  (! [B] : k8_funct_6(A, k9_finseq_1(B))=k9_finseq_1(k1_funct_2(A, B))) ) ).
fof(t150_finseq_3, axiom,  (! [A] :  (! [B] :  (! [C] : k8_funct_6(A, k10_finseq_1(B, C))=k10_finseq_1(k1_funct_2(A, B), k1_funct_2(A, C))) ) ) ).
fof(t151_finseq_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ~ ( (k10_xtuple_0(C)=k2_tarski(A, B) &  (k3_finseq_1(C)=2 &  ( ~ ( (k1_funct_1(C, 1)=A & k1_funct_1(C, 2)=B) )  &  ~ ( (k1_funct_1(C, 1)=B & k1_funct_1(C, 2)=A) ) ) ) ) ) ) ) ) ) ).
fof(t152_finseq_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (r1_tarski(A, k2_finseq_1(B)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (r2_tarski(C, k1_relset_1(k4_ordinal1, k14_finseq_1(A))) & D=k1_funct_1(k14_finseq_1(A), C))  => r1_xxreal_0(C, D)) ) ) ) ) ) ) ) ) ).
fof(t153_finseq_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) )  => k3_finseq_1(B)=A) ) ) ) ).
fof(t154_finseq_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, A) &  ~ (k1_funct_1(k7_finseq_1(B, C), D)=k1_funct_1(B, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t155_finseq_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, B) & v1_finseq_1(C)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, A) & v1_finseq_1(D)) ) )  =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, A) &  ~ (k1_funct_1(k7_finseq_1(C, D), k2_xcmplx_0(B, E))=k1_funct_1(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t156_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k1_relset_1(k4_ordinal1, A)) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, B))  => r2_tarski(C, k1_relset_1(k4_ordinal1, A))) ) ) ) ) ) ) ) ).
fof(t157_finseq_3, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v2_finseq_1(C)) )  =>  (C=k1_tarski(k4_tarski(B, A)) => k15_finseq_1(C)=k9_finseq_1(A)) ) ) ) ) ) ).
fof(t158_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  => k4_card_1(A)=k3_finseq_1(k15_finseq_1(A))) ) ).
fof(t159_finseq_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v2_finseq_1(B)) )  =>  ~ ( (k15_finseq_1(B)=k9_finseq_1(A) &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ (B=k1_tarski(k4_tarski(C, A))) ) ) ) ) ) ) ) ).
fof(dt_k1_finseq_3, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(k1_finseq_3(A, B)) &  (v1_funct_1(k1_finseq_3(A, B)) & v1_finseq_1(k1_finseq_3(A, B))) ) ) ) ).
fof(dt_k2_finseq_3, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  =>  (v1_relat_1(k2_finseq_3(A, B)) &  (v1_funct_1(k2_finseq_3(A, B)) & v1_finseq_1(k2_finseq_3(A, B))) ) ) ) ).
fof(dt_k3_finseq_3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => m1_subset_1(k3_finseq_3(A, B), k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), k3_finseq_2(A))))) ) ).
fof(t85_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k1_relset_1(k4_ordinal1, A)) =>  (! [D] :  (v1_finset_1(D) =>  ~ ( (D=a_3_0_finseq_3(A, B, C) &  ( ~ (r2_tarski(k1_funct_1(A, C), B))  &  ~ (k1_funct_1(k1_finseq_3(A, B), k6_xcmplx_0(C, k4_card_1(D)))=k1_funct_1(A, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t127_finseq_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  => k4_card_3(k10_finseq_1(A, B))=a_2_0_finseq_3(A, B)) ) ) ) ).
fof(t129_finseq_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  => k4_card_3(k11_finseq_1(A, B, C))=a_3_1_finseq_3(A, B, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_finseq_3, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  & v7_ordinal1(D))  =>  (r2_hidden(A, a_3_0_finseq_3(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k4_ordinal1) &  (A=E &  (r2_tarski(E, k1_relset_1(k4_ordinal1, B)) &  (r1_xxreal_0(E, D) & r2_tarski(k1_funct_1(B, E), C)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_finseq_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  ~ (v1_xboole_0(C)) )  =>  (r2_hidden(A, a_2_0_finseq_3(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, B) & m1_subset_1(E, C))  & A=k10_finseq_1(D, E)) ) ) ) ) ).
fof(fraenkel_a_3_1_finseq_3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ~ (v1_xboole_0(D)) ) )  =>  (r2_hidden(A, a_3_1_finseq_3(B, C, D)) <=>  (? [E, F, G] :  ( (m1_subset_1(E, B) &  (m1_subset_1(F, C) & m1_subset_1(G, D)) )  & A=k11_finseq_1(E, F, G)) ) ) ) ) ).
fof(fc1_finseq_4, axiom,  (! [A, B, C, D] :  (v1_relat_1(k7_finseq_4(A, B, C, D)) &  (v1_funct_1(k7_finseq_4(A, B, C, D)) &  ~ (v1_xboole_0(k7_finseq_4(A, B, C, D))) ) ) ) ).
fof(fc2_finseq_4, axiom,  (! [A, B, C, D, E] :  (v1_relat_1(k8_finseq_4(A, B, C, D, E)) &  (v1_funct_1(k8_finseq_4(A, B, C, D, E)) &  ~ (v1_xboole_0(k8_finseq_4(A, B, C, D, E))) ) ) ) ).
fof(fc3_finseq_4, axiom,  (! [A, B, C, D] : v1_finseq_1(k7_finseq_4(A, B, C, D))) ).
fof(fc4_finseq_4, axiom,  (! [A, B, C, D, E] : v1_finseq_1(k8_finseq_4(A, B, C, D, E))) ).
fof(fc5_finseq_4, axiom,  (! [A, B, C, D] : v3_card_1(k7_finseq_4(A, B, C, D), 4)) ).
fof(fc6_finseq_4, axiom,  (! [A, B, C, D, E] : v3_card_1(k8_finseq_4(A, B, C, D, E), 5)) ).
fof(cc1_finseq_4, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m1_eqrel_1(B, A) => v1_finset_1(B)) ) ) ) ).
fof(rc1_finseq_4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (? [B] :  (m1_eqrel_1(B, A) &  ( ~ (v10_ordinal1(B))  &  ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) &  (v5_finset_1(B) & v1_setfam_1(B)) ) ) ) ) ) ) ) ).
fof(fc7_finseq_4, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, k13_finseq_1(A)) & v7_ordinal1(C))  =>  (v1_relat_1(k7_partfun1(k13_finseq_1(A), B, C)) & v1_funct_1(k7_partfun1(k13_finseq_1(A), B, C))) ) ) ).
fof(fc8_finseq_4, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, k13_finseq_1(A)) & v7_ordinal1(C))  =>  (v1_relat_1(k7_partfun1(k13_finseq_1(A), B, C)) &  (v5_relat_1(k7_partfun1(k13_finseq_1(A), B, C), A) &  (v1_funct_1(k7_partfun1(k13_finseq_1(A), B, C)) & v1_finseq_1(k7_partfun1(k13_finseq_1(A), B, C))) ) ) ) ) ).
fof(d1_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (r1_finseq_4(A, B) <=> k8_relat_1(A, k9_relat_1(A, B))=k1_tarski(B)) ) ) ) ).
fof(t1_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (r1_finseq_4(A, B) => r2_hidden(B, k9_xtuple_0(A))) ) ) ) ).
fof(t2_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (r1_finseq_4(A, B) <=>  (r2_hidden(B, k9_xtuple_0(A)) & k8_relat_1(A, k1_tarski(k1_funct_1(A, B)))=k1_tarski(B)) ) ) ) ) ).
fof(t3_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (r1_finseq_4(A, B) <=>  (r2_hidden(B, k9_xtuple_0(A)) &  (! [C] :  ~ ( (r2_hidden(C, k9_xtuple_0(A)) &  ( ~ (B=C)  & k1_funct_1(A, B)=k1_funct_1(A, C)) ) ) ) ) ) ) ) ) ).
fof(t4_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  ( (! [B] :  (r2_hidden(B, k9_xtuple_0(A)) => r1_finseq_4(A, B)) )  <=> v2_funct_1(A)) ) ) ).
fof(d2_finseq_4, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r2_finseq_4(A, B) <=> k1_card_1(k10_relat_1(A, B))=1) ) ) ) ).
fof(t5_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (r2_finseq_4(A, B) => r2_hidden(B, k10_xtuple_0(A))) ) ) ) ).
fof(t6_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (r2_finseq_4(A, B) <=>  (? [C] : k1_tarski(C)=k8_relat_1(A, k1_tarski(B))) ) ) ) ) ).
fof(t7_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (r2_finseq_4(A, B) <=>  (? [C] :  (r2_hidden(C, k9_xtuple_0(A)) &  (B=k1_funct_1(A, C) &  (! [D] :  ~ ( (r2_hidden(D, k9_xtuple_0(A)) &  ( ~ (D=C)  & k1_funct_1(A, D)=B) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v2_funct_1(A) <=>  (! [B] :  (r2_hidden(B, k10_xtuple_0(A)) => r2_finseq_4(A, B)) ) ) ) ) ).
fof(t9_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (r1_finseq_4(A, B) <=>  (r2_hidden(B, k9_xtuple_0(A)) & r2_finseq_4(A, k1_funct_1(A, B))) ) ) ) ) ).
fof(d3_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (r2_finseq_4(A, B) =>  (! [C] :  (C=k1_finseq_4(A, B) <=>  (r2_tarski(C, k9_xtuple_0(A)) & k1_funct_1(A, C)=B) ) ) ) ) ) ) ).
fof(t10_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (r2_finseq_4(A, B) => k9_relat_1(A, k1_finseq_4(A, B))=k1_tarski(B)) ) ) ) ).
fof(t11_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (r2_finseq_4(A, B) => k8_relat_1(A, k1_tarski(B))=k1_tarski(k1_finseq_4(A, B))) ) ) ) ).
fof(t12_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v2_funct_1(A) & r2_hidden(B, k10_xtuple_0(A)))  => k1_funct_1(k2_funct_1(A), B)=k1_finseq_4(A, B)) ) ) ) ).
fof(t13_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (r1_finseq_4(A, B) => k1_finseq_4(A, k1_funct_1(A, B))=B) ) ) ) ).
fof(t14_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (r2_finseq_4(A, B) => r1_finseq_4(A, k1_finseq_4(A, B))) ) ) ) ).
fof(t15_finseq_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  (m2_finseq_1(C, B) =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, k3_finseq_1(C)))  => k7_partfun1(B, C, A)=k1_funct_1(C, A)) ) ) ) ) ) ).
fof(t16_finseq_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) => k7_partfun1(A, k12_finseq_1(A, B), 1)=B) ) ) ) ).
fof(t17_finseq_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (k7_partfun1(A, k2_finseq_4(A, B, C), 1)=B & k7_partfun1(A, k2_finseq_4(A, B, C), 2)=C) ) ) ) ) ) ) ).
fof(t18_finseq_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (k7_partfun1(A, k3_finseq_4(A, B, C, D), 1)=B &  (k7_partfun1(A, k3_finseq_4(A, B, C, D), 2)=C & k7_partfun1(A, k3_finseq_4(A, B, C, D), 3)=D) ) ) ) ) ) ) ) ) ) ).
fof(d4_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] : k4_finseq_4(A, B)=k1_funct_1(k14_finseq_1(k8_relat_1(A, k1_tarski(B))), 1)) ) ) ).
fof(t19_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (r2_hidden(B, k10_xtuple_0(A)) => k1_funct_1(A, k4_finseq_4(A, B))=B) ) ) ) ).
fof(t20_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (r2_hidden(B, k10_xtuple_0(A)) => r2_tarski(k4_finseq_4(A, B), k4_finseq_1(A))) ) ) ) ).
fof(t21_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (r2_hidden(B, k10_xtuple_0(A)) =>  (r1_xxreal_0(1, k4_finseq_4(A, B)) & r1_xxreal_0(k4_finseq_4(A, B), k3_finseq_1(A))) ) ) ) ) ).
fof(t22_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (r2_hidden(B, k10_xtuple_0(A)) =>  (m1_subset_1(k6_xcmplx_0(k4_finseq_4(A, B), 1), k4_ordinal1) & m1_subset_1(k6_xcmplx_0(k3_finseq_1(A), k4_finseq_4(A, B)), k4_ordinal1)) ) ) ) ) ).
fof(t23_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (r2_hidden(B, k10_xtuple_0(A)) => r2_tarski(k4_finseq_4(A, B), k8_relat_1(A, k1_tarski(B)))) ) ) ) ).
fof(t24_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(C, k4_finseq_1(A)) &  ( ~ (r1_xxreal_0(k4_finseq_4(A, B), C))  & k1_funct_1(A, C)=B) ) ) ) ) ) ) ) ).
fof(t25_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (r2_finseq_4(A, B) => k1_finseq_4(A, B)=k4_finseq_4(A, B)) ) ) ) ).
fof(t26_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (r2_finseq_4(A, B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(C, k4_finseq_1(A)) &  ( ~ (C=k4_finseq_4(A, B))  & k1_funct_1(A, C)=B) ) ) ) ) ) ) ) ) ).
fof(t27_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (r2_hidden(B, k10_xtuple_0(A)) &  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(C, k4_finseq_1(A)) &  ( ~ (C=k4_finseq_4(A, B))  & k1_funct_1(A, C)=B) ) ) ) ) )  => r2_finseq_4(A, B)) ) ) ) ).
fof(t28_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (r2_finseq_4(A, B) <=>  (r2_hidden(B, k10_xtuple_0(A)) & k1_tarski(k4_finseq_4(A, B))=k8_relat_1(A, k1_tarski(B))) ) ) ) ) ).
fof(t29_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v2_funct_1(A) & r2_hidden(B, k10_xtuple_0(A)))  => k1_tarski(k4_finseq_4(A, B))=k8_relat_1(A, k1_tarski(B))) ) ) ) ).
fof(t30_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (r2_finseq_4(A, B) <=> k3_finseq_1(k1_finseq_3(A, k1_tarski(B)))=k6_xcmplx_0(k3_finseq_1(A), 1)) ) ) ) ).
fof(t31_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (r2_finseq_4(A, B) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(k1_finseq_3(A, k1_tarski(B)))) =>  ( ( ~ (r1_xxreal_0(k4_finseq_4(A, B), C))  => k1_funct_1(k1_finseq_3(A, k1_tarski(B)), C)=k1_funct_1(A, C))  &  (r1_xxreal_0(k4_finseq_4(A, B), C) => k1_funct_1(k1_finseq_3(A, k1_tarski(B)), C)=k1_funct_1(A, k1_nat_1(C, 1))) ) ) ) ) ) ) ) ) ).
fof(t32_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v2_funct_1(A) & r2_hidden(B, k10_xtuple_0(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(k1_finseq_3(A, k1_tarski(B)))) =>  ( ~ ( (k1_funct_1(k1_finseq_3(A, k1_tarski(B)), C)=k1_funct_1(A, C) & r1_xxreal_0(k4_finseq_4(A, B), C)) )  &  ( ( ~ (r1_xxreal_0(k4_finseq_4(A, B), C))  => k1_funct_1(k1_finseq_3(A, k1_tarski(B)), C)=k1_funct_1(A, C))  &  ( (k1_funct_1(k1_finseq_3(A, k1_tarski(B)), C)=k1_funct_1(A, k1_nat_1(C, 1)) => r1_xxreal_0(k4_finseq_4(A, B), C))  &  (r1_xxreal_0(k4_finseq_4(A, B), C) => k1_funct_1(k1_finseq_3(A, k1_tarski(B)), C)=k1_funct_1(A, k1_nat_1(C, 1))) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (r2_hidden(B, k10_xtuple_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (C=k5_finseq_4(A, B) <=>  (? [D] :  (v7_ordinal1(D) &  (D=k6_xcmplx_0(k4_finseq_4(A, B), 1) & C=k5_relat_1(A, k2_finseq_1(D))) ) ) ) ) ) ) ) ) ) ).
fof(t33_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  ( (r2_hidden(B, k10_xtuple_0(A)) & C=k6_xcmplx_0(k4_finseq_4(A, B), 1))  => k5_relat_1(A, k2_finseq_1(C))=k5_finseq_4(A, B)) ) ) ) ) ) ).
fof(t34_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (r2_hidden(B, k10_xtuple_0(A)) => k3_finseq_1(k5_finseq_4(A, B))=k6_xcmplx_0(k4_finseq_4(A, B), 1)) ) ) ) ).
fof(t35_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  ( (r2_hidden(B, k10_xtuple_0(A)) & C=k6_xcmplx_0(k4_finseq_4(A, B), 1))  => k4_finseq_1(k5_finseq_4(A, B))=k2_finseq_1(C)) ) ) ) ) ) ).
fof(t36_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  ( (r2_hidden(B, k10_xtuple_0(A)) & r2_tarski(C, k4_finseq_1(k5_finseq_4(A, B))))  => k1_funct_1(A, C)=k1_funct_1(k5_finseq_4(A, B), C)) ) ) ) ) ) ).
fof(t37_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ~ ( (r2_hidden(B, k10_xtuple_0(A)) & r2_hidden(B, k10_xtuple_0(k5_finseq_4(A, B)))) ) ) ) ) ).
fof(t38_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (r2_hidden(B, k10_xtuple_0(A)) => r1_xboole_0(k10_xtuple_0(k5_finseq_4(A, B)), k1_tarski(B))) ) ) ) ).
fof(t39_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (r2_hidden(B, k10_xtuple_0(A)) => r1_tarski(k10_xtuple_0(k5_finseq_4(A, B)), k10_xtuple_0(A))) ) ) ) ).
fof(t40_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (r2_hidden(B, k10_xtuple_0(A)) =>  (k4_finseq_4(A, B)=1 <=> k5_finseq_4(A, B)=k1_xboole_0) ) ) ) ) ).
fof(t41_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  ( (r2_hidden(B, k10_xtuple_0(A)) & m2_finseq_1(A, C))  => m2_finseq_1(k5_finseq_4(A, B), C)) ) ) ) ) ) ).
fof(d6_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (r2_hidden(B, k10_xtuple_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (C=k6_finseq_4(A, B) <=>  (k3_finseq_1(C)=k6_xcmplx_0(k3_finseq_1(A), k4_finseq_4(A, B)) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(C)) => k1_funct_1(C, D)=k1_funct_1(A, k1_nat_1(D, k4_finseq_4(A, B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  ( (r2_hidden(B, k10_xtuple_0(A)) & C=k6_xcmplx_0(k3_finseq_1(A), k4_finseq_4(A, B)))  => k4_finseq_1(k6_finseq_4(A, B))=k2_finseq_1(C)) ) ) ) ) ) ).
fof(t43_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  ( (r2_hidden(B, k10_xtuple_0(A)) & r2_tarski(C, k4_finseq_1(k6_finseq_4(A, B))))  => r2_tarski(k1_nat_1(C, k4_finseq_4(A, B)), k4_finseq_1(A))) ) ) ) ) ) ).
fof(t44_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (r2_hidden(B, k10_xtuple_0(A)) => r1_tarski(k10_xtuple_0(k6_finseq_4(A, B)), k10_xtuple_0(A))) ) ) ) ).
fof(t45_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (r2_finseq_4(A, B) <=>  (r2_hidden(B, k10_xtuple_0(A)) &  ~ (r2_hidden(B, k10_xtuple_0(k6_finseq_4(A, B)))) ) ) ) ) ) ).
fof(t46_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ~ ( (r2_hidden(B, k10_xtuple_0(A)) &  (v2_funct_1(A) & r2_hidden(B, k10_xtuple_0(k6_finseq_4(A, B)))) ) ) ) ) ) ).
fof(t47_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (r2_finseq_4(A, B) <=>  (r2_hidden(B, k10_xtuple_0(A)) & r1_xboole_0(k10_xtuple_0(k6_finseq_4(A, B)), k1_tarski(B))) ) ) ) ) ).
fof(t48_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (r2_hidden(B, k10_xtuple_0(A)) & v2_funct_1(A))  => r1_xboole_0(k10_xtuple_0(k6_finseq_4(A, B)), k1_tarski(B))) ) ) ) ).
fof(t49_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (r2_hidden(B, k10_xtuple_0(A)) =>  (k4_finseq_4(A, B)=k3_finseq_1(A) <=> k6_finseq_4(A, B)=k1_xboole_0) ) ) ) ) ).
fof(t50_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  ( (r2_hidden(B, k10_xtuple_0(A)) & m2_finseq_1(A, C))  => m2_finseq_1(k6_finseq_4(A, B), C)) ) ) ) ) ) ).
fof(t51_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (r2_hidden(B, k10_xtuple_0(A)) => A=k7_finseq_1(k7_finseq_1(k5_finseq_4(A, B), k9_finseq_1(B)), k6_finseq_4(A, B))) ) ) ) ).
fof(t52_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (r2_hidden(B, k10_xtuple_0(A)) & v2_funct_1(A))  => v2_funct_1(k5_finseq_4(A, B))) ) ) ) ).
fof(t53_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (r2_hidden(B, k10_xtuple_0(A)) & v2_funct_1(A))  => v2_funct_1(k6_finseq_4(A, B))) ) ) ) ).
fof(t54_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (r2_finseq_4(A, B) <=>  (r2_hidden(B, k10_xtuple_0(A)) & k1_finseq_3(A, k1_tarski(B))=k7_finseq_1(k5_finseq_4(A, B), k6_finseq_4(A, B))) ) ) ) ) ).
fof(t55_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (r2_hidden(B, k10_xtuple_0(A)) & v2_funct_1(A))  => k1_finseq_3(A, k1_tarski(B))=k7_finseq_1(k5_finseq_4(A, B), k6_finseq_4(A, B))) ) ) ) ).
fof(t56_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (r2_hidden(B, k10_xtuple_0(A)) &  (v2_funct_1(k1_finseq_3(A, k1_tarski(B))) & k1_finseq_3(A, k1_tarski(B))=k7_finseq_1(k5_finseq_4(A, B), k6_finseq_4(A, B))) )  => v2_funct_1(A)) ) ) ) ).
fof(t57_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (r2_hidden(B, k10_xtuple_0(A)) & v2_funct_1(A))  => r1_xboole_0(k10_xtuple_0(k5_finseq_4(A, B)), k10_xtuple_0(k6_finseq_4(A, B)))) ) ) ) ).
fof(t58_finseq_4, axiom,  (! [A] :  ~ ( (v1_finset_1(A) &  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ~ ( (k10_xtuple_0(B)=A & v2_funct_1(B)) ) ) ) ) ) ) ).
fof(t59_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  ( (r1_tarski(k10_xtuple_0(A), k4_finseq_1(A)) & v2_funct_1(A))  => k10_xtuple_0(A)=k4_finseq_1(A)) ) ) ).
fof(t60_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (k10_xtuple_0(A)=k4_finseq_1(A) => v2_funct_1(A)) ) ) ).
fof(t61_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( (k10_xtuple_0(A)=k10_xtuple_0(B) &  (k3_finseq_1(A)=k3_finseq_1(B) & v2_funct_1(B)) )  => v2_funct_1(A)) ) ) ) ) ).
fof(t62_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v2_funct_1(A) <=> k4_card_1(k10_xtuple_0(A))=k3_finseq_1(A)) ) ) ).
fof(t63_finseq_4, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (v1_finset_1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ( (k4_card_1(A)=k4_card_1(B) & v2_funct_1(C))  => k10_xtuple_0(C)=B) ) ) ) ) ) ) ).
fof(t64_finseq_4, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (v1_finset_1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ( (k4_card_1(A)=k4_card_1(B) & k10_xtuple_0(C)=B)  => v2_funct_1(C)) ) ) ) ) ) ) ).
fof(t65_finseq_4, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ~ ( (r2_tarski(k1_card_1(B), k1_card_1(A)) &  ( ~ (B=k1_xboole_0)  &  (! [D] :  (! [E] :  ~ ( (r2_hidden(D, A) &  (r2_hidden(E, A) &  ( ~ (D=E)  & k1_funct_1(C, D)=k1_funct_1(C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_finseq_4, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ~ ( (r2_tarski(k1_card_1(A), k1_card_1(B)) &  (! [D] :  ~ ( (r2_hidden(D, B) &  (! [E] :  ~ ( (r2_hidden(E, A) & k1_funct_1(C, E)=D) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_finseq_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) => k7_partfun1(A, k8_finseq_1(A, B, k12_finseq_1(A, C)), k1_nat_1(k3_finseq_1(B), 1))=C) ) ) ) ) ) ).
fof(t68_finseq_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, B) =>  (! [D] :  (m2_finseq_1(D, B) =>  (r2_tarski(A, k4_finseq_1(C)) => k7_partfun1(B, k8_finseq_1(B, C, D), A)=k7_partfun1(B, C, A)) ) ) ) ) ) ) ) ) ).
fof(t69_finseq_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, B) =>  (! [D] :  (m2_finseq_1(D, B) =>  (r2_tarski(A, k4_finseq_1(D)) => k7_partfun1(B, k8_finseq_1(B, C, D), k2_xcmplx_0(k3_finseq_1(C), A))=k7_partfun1(B, D, A)) ) ) ) ) ) ) ) ) ).
fof(t70_finseq_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (! [D] :  (m2_finseq_1(D, C) =>  (r2_tarski(A, k4_finseq_1(k17_finseq_1(C, B, D))) => k7_partfun1(C, k17_finseq_1(C, B, D), A)=k7_partfun1(C, D, A)) ) ) ) ) ) ) ) ).
fof(t71_finseq_4, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(C, k4_finseq_1(B)) & r2_tarski(D, k2_finseq_1(C)))  =>  (r2_tarski(D, k4_finseq_1(B)) & k7_partfun1(A, k17_finseq_1(A, C, B), D)=k7_partfun1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t72_finseq_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_finset_1(B) =>  ~ ( (r1_xxreal_0(A, k4_card_1(B)) &  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(B)))  =>  ~ (k4_card_1(C)=A) ) ) ) ) ) ) ) ) ).
fof(t73_finseq_4, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (v2_funct_1(B) & r2_hidden(A, k10_xtuple_0(B)))  => k1_card_1(k10_relat_1(B, A))=1) ) ) ) ).
fof(d7_finseq_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k7_finseq_4(A, B, C, D)=k7_finseq_1(k11_finseq_1(A, B, C), k9_finseq_1(D))) ) ) ) ).
fof(d8_finseq_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k8_finseq_4(A, B, C, D, E)=k7_finseq_1(k11_finseq_1(A, B, C), k10_finseq_1(D, E))) ) ) ) ) ).
fof(t74_finseq_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (k7_finseq_4(A, B, C, D)=k7_finseq_1(k11_finseq_1(A, B, C), k9_finseq_1(D)) &  (k7_finseq_4(A, B, C, D)=k7_finseq_1(k10_finseq_1(A, B), k10_finseq_1(C, D)) &  (k7_finseq_4(A, B, C, D)=k7_finseq_1(k9_finseq_1(A), k11_finseq_1(B, C, D)) & k7_finseq_4(A, B, C, D)=k7_finseq_1(k7_finseq_1(k7_finseq_1(k9_finseq_1(A), k9_finseq_1(B)), k9_finseq_1(C)), k9_finseq_1(D))) ) ) ) ) ) ) ).
fof(t75_finseq_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (k8_finseq_4(A, B, C, D, E)=k7_finseq_1(k11_finseq_1(A, B, C), k10_finseq_1(D, E)) &  (k8_finseq_4(A, B, C, D, E)=k7_finseq_1(k7_finseq_4(A, B, C, D), k9_finseq_1(E)) &  (k8_finseq_4(A, B, C, D, E)=k7_finseq_1(k7_finseq_1(k7_finseq_1(k7_finseq_1(k9_finseq_1(A), k9_finseq_1(B)), k9_finseq_1(C)), k9_finseq_1(D)), k9_finseq_1(E)) &  (k8_finseq_4(A, B, C, D, E)=k7_finseq_1(k10_finseq_1(A, B), k11_finseq_1(C, D, E)) & k8_finseq_4(A, B, C, D, E)=k7_finseq_1(k9_finseq_1(A), k7_finseq_4(B, C, D, E))) ) ) ) ) ) ) ) ) ).
fof(t76_finseq_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  (E=k7_finseq_4(A, B, C, D) <=>  (k3_finseq_1(E)=4 &  (k1_funct_1(E, 1)=A &  (k1_funct_1(E, 2)=B &  (k1_funct_1(E, 3)=C & k1_funct_1(E, 4)=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t78_finseq_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) )  =>  (F=k8_finseq_4(A, B, C, D, E) <=>  (k3_finseq_1(F)=5 &  (k1_funct_1(F, 1)=A &  (k1_funct_1(F, 2)=B &  (k1_funct_1(F, 3)=C &  (k1_funct_1(F, 4)=D & k1_funct_1(F, 5)=E) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t80_finseq_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (k7_partfun1(A, k9_finseq_4(A, B, C, D, E), 1)=B &  (k7_partfun1(A, k9_finseq_4(A, B, C, D, E), 2)=C &  (k7_partfun1(A, k9_finseq_4(A, B, C, D, E), 3)=D & k7_partfun1(A, k9_finseq_4(A, B, C, D, E), 4)=E) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t81_finseq_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  (k7_partfun1(A, k10_finseq_4(A, B, C, D, E, F), 1)=B &  (k7_partfun1(A, k10_finseq_4(A, B, C, D, E, F), 2)=C &  (k7_partfun1(A, k10_finseq_4(A, B, C, D, E, F), 3)=D &  (k7_partfun1(A, k10_finseq_4(A, B, C, D, E, F), 4)=E & k7_partfun1(A, k10_finseq_4(A, B, C, D, E, F), 5)=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t82_finseq_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  ~ ( (r1_tarski(B, C) &  (! [D] :  (m2_finseq_1(D, A) =>  ~ (k8_finseq_1(A, B, D)=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t83_finseq_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (r1_tarski(B, C) &  (r1_xxreal_0(1, D) & r1_xxreal_0(D, k3_finseq_1(B))) )  => k1_funct_1(C, D)=k1_funct_1(B, D)) ) ) ) ) ) ) ) ) ).
fof(t84_finseq_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ ( (B=k1_nat_1(A, C) & r1_xxreal_0(1, C)) ) ) ) ) ) ) ) ) ) ).
fof(t85_finseq_4, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  ( (v3_funct_2(D, A, B) & v3_funct_2(E, B, C))  => v3_funct_2(k1_partfun1(A, B, B, C, D, E), A, C)) ) ) ) ) ) ) ) ) ) ).
fof(t86_finseq_4, axiom,  (! [A] :  (! [B] :  ( (v1_partfun1(B, A) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  ( (v1_partfun1(C, A) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (k8_eqrel_1(A, B)=k8_eqrel_1(A, C) => B=C) ) ) ) ) ) ).
fof(t87_finseq_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  ~ ( (r2_tarski(C, B) &  (! [D] :  (m1_subset_1(D, A) =>  ~ (r2_tarski(D, C)) ) ) ) ) ) ) ) ) ) ).
fof(t88_finseq_4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m1_eqrel_1(B, A) => r1_xxreal_0(k4_card_1(B), k4_card_1(A))) ) ) ) ).
fof(t89_finseq_4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (r1_setfam_1(B, C) => r1_xxreal_0(k4_card_1(C), k4_card_1(B))) ) ) ) ) ) ) ).
fof(t90_finseq_4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (r1_setfam_1(B, C) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), C) =>  (? [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) & r1_tarski(E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t91_finseq_4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_eqrel_1(C, A) =>  ( (r1_setfam_1(B, C) & k4_card_1(B)=k4_card_1(C))  => B=C) ) ) ) ) ) ) ).
fof(t92_finseq_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, B) =>  (r2_tarski(A, k4_finseq_1(C)) => k7_partfun1(B, C, 1)=k7_partfun1(B, k17_finseq_1(B, A, C), 1)) ) ) ) ) ) ) ).
fof(t93_finseq_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, B) =>  (r2_tarski(A, k4_finseq_1(C)) => k7_partfun1(B, C, A)=k7_partfun1(B, k17_finseq_1(B, A, C), k3_finseq_1(k17_finseq_1(B, A, C)))) ) ) ) ) ) ) ).
fof(s1_finseq_4, axiom,  ( (! [A] :  (v7_ordinal1(A) =>  ~ ( (r2_tarski(A, k2_finseq_1(f2_s1_finseq_4)) &  (! [B] :  (m1_subset_1(B, f1_s1_finseq_4) =>  ~ (p1_s1_finseq_4(A, B)) ) ) ) ) ) )  =>  (? [A] :  (m2_finseq_1(A, f1_s1_finseq_4) &  (k3_finseq_1(A)=f2_s1_finseq_4 &  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k2_finseq_1(f2_s1_finseq_4)) => p1_s1_finseq_4(B, k7_partfun1(f1_s1_finseq_4, A, B))) ) ) ) ) ) ) ).
fof(s2_finseq_4, axiom,  (? [A] :  (m2_finseq_1(A, f1_s2_finseq_4) &  (k3_finseq_1(A)=f2_s2_finseq_4 &  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k4_finseq_1(A)) => k7_partfun1(f1_s2_finseq_4, A, B)=f3_s2_finseq_4(B)) ) ) ) ) ) ).
fof(dt_k2_finseq_4, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => m2_finseq_1(k2_finseq_4(A, B, C), A)) ) ).
fof(redefinition_k2_finseq_4, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k2_finseq_4(A, B, C)=k10_finseq_1(B, C)) ) ).
fof(dt_k3_finseq_4, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (m1_subset_1(C, A) & m1_subset_1(D, A)) ) )  => m2_finseq_1(k3_finseq_4(A, B, C, D), A)) ) ).
fof(redefinition_k3_finseq_4, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (m1_subset_1(C, A) & m1_subset_1(D, A)) ) )  => k3_finseq_4(A, B, C, D)=k11_finseq_1(B, C, D)) ) ).
fof(dt_k4_finseq_4, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => m1_subset_1(k4_finseq_4(A, B), k4_ordinal1)) ) ).
fof(dt_k5_finseq_4, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(k5_finseq_4(A, B)) &  (v1_funct_1(k5_finseq_4(A, B)) & v1_finseq_1(k5_finseq_4(A, B))) ) ) ) ).
fof(dt_k6_finseq_4, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(k6_finseq_4(A, B)) &  (v1_funct_1(k6_finseq_4(A, B)) & v1_finseq_1(k6_finseq_4(A, B))) ) ) ) ).
fof(dt_k9_finseq_4, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (m1_subset_1(C, A) &  (m1_subset_1(D, A) & m1_subset_1(E, A)) ) ) )  => m2_finseq_1(k9_finseq_4(A, B, C, D, E), A)) ) ).
fof(redefinition_k9_finseq_4, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (m1_subset_1(C, A) &  (m1_subset_1(D, A) & m1_subset_1(E, A)) ) ) )  => k9_finseq_4(A, B, C, D, E)=k7_finseq_4(B, C, D, E)) ) ).
fof(dt_k10_finseq_4, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (m1_subset_1(C, A) &  (m1_subset_1(D, A) &  (m1_subset_1(E, A) & m1_subset_1(F, A)) ) ) ) )  => m2_finseq_1(k10_finseq_4(A, B, C, D, E, F), A)) ) ).
fof(redefinition_k10_finseq_4, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (m1_subset_1(C, A) &  (m1_subset_1(D, A) &  (m1_subset_1(E, A) & m1_subset_1(F, A)) ) ) ) )  => k10_finseq_4(A, B, C, D, E, F)=k8_finseq_4(B, C, D, E, F)) ) ).
fof(dt_f1_s1_finseq_4, axiom,  ~ (v1_xboole_0(f1_s1_finseq_4)) ).
fof(dt_f2_s1_finseq_4, axiom, v7_ordinal1(f2_s1_finseq_4)).
fof(dt_f1_s2_finseq_4, axiom,  ~ (v1_xboole_0(f1_s2_finseq_4)) ).
fof(dt_f2_s2_finseq_4, axiom, v7_ordinal1(f2_s2_finseq_4)).
fof(dt_f3_s2_finseq_4, axiom,  (! [A] : m1_subset_1(f3_s2_finseq_4(A), f1_s2_finseq_4)) ).
fof(fc1_finseq_5, axiom,  (! [A] : v1_zfmisc_1(k5_finseq_1(A))) ).
fof(fc2_finseq_5, axiom,  (! [A, B] :  ~ (v1_zfmisc_1(k10_finseq_1(A, B))) ) ).
fof(rc1_finseq_5, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v2_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ) ).
fof(rc2_finseq_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_finseq_1(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v2_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc3_finseq_5, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ~ (v1_xboole_0(B))  &  (v2_funct_1(C) & m1_finseq_1(C, B)) ) )  =>  (v1_relat_1(k16_finseq_1(A, C)) &  (v1_funct_1(k16_finseq_1(A, C)) &  (v2_funct_1(k16_finseq_1(A, C)) & v1_finseq_1(k16_finseq_1(A, C))) ) ) ) ) ).
fof(fc4_finseq_5, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ~ (v1_xboole_0(B))  &  (v2_funct_1(C) & m1_finseq_1(C, B)) ) )  =>  (v1_relat_1(k1_rfinseq(A, C)) &  (v1_funct_1(k1_rfinseq(A, C)) &  (v2_funct_1(k1_rfinseq(A, C)) & v1_finseq_1(k1_rfinseq(A, C))) ) ) ) ) ).
fof(fc5_finseq_5, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (v2_funct_1(C) & m1_finseq_1(C, A)) ) )  => v2_funct_1(k1_finseq_5(A, C, B))) ) ).
fof(fc6_finseq_5, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & m1_finseq_1(C, A)) )  =>  ~ (v1_xboole_0(k2_finseq_5(A, C, B))) ) ) ).
fof(fc7_finseq_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_xboole_0(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  =>  (v1_relat_1(k3_finseq_5(A)) &  (v1_xboole_0(k3_finseq_5(A)) &  (v1_funct_1(k3_finseq_5(A)) & v1_finseq_1(k3_finseq_5(A))) ) ) ) ) ).
fof(fc8_finseq_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_funct_1(A) & v1_finseq_1(A)) ) )  =>  (v1_relat_1(k3_finseq_5(A)) &  (v1_funct_1(k3_finseq_5(A)) &  (v2_funct_1(k3_finseq_5(A)) & v1_finseq_1(k3_finseq_5(A))) ) ) ) ) ).
fof(fc9_finseq_5, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m1_finseq_1(B, A) &  (v7_ordinal1(C) & m1_subset_1(D, A)) ) )  =>  ~ (v1_xboole_0(k5_finseq_5(A, B, D, C))) ) ) ).
fof(rc3_finseq_5, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  ( ~ (v1_zfmisc_1(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ).
fof(t1_finseq_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(A, B) => m1_subset_1(k2_xcmplx_0(k6_xcmplx_0(B, A), 1), k4_ordinal1)) ) ) ) ) ).
fof(t2_finseq_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(A, k2_finseq_1(B)) => r2_tarski(k2_xcmplx_0(k6_xcmplx_0(B, A), 1), k2_finseq_1(B))) ) ) ) ) ).
fof(t3_finseq_5, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (k8_relat_1(A, k1_tarski(C))=k1_tarski(B) =>  (r2_hidden(B, k9_xtuple_0(A)) &  (r2_hidden(C, k10_xtuple_0(A)) & k1_funct_1(A, B)=C) ) ) ) ) ) ) ).
fof(t4_finseq_5, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v2_funct_1(A) <=>  (! [B] :  (r2_tarski(B, k9_xtuple_0(A)) => k8_relat_1(A, k1_tarski(k1_funct_1(A, B)))=k1_tarski(B)) ) ) ) ) ).
fof(t5_finseq_5, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  ( (v2_funct_1(A) &  (r2_hidden(B, k10_xtuple_0(A)) & k8_relat_1(A, k1_tarski(B))=k8_relat_1(A, k1_tarski(C))) )  => B=C) ) ) ) ) ).
fof(t6_finseq_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  =>  (r2_tarski(1, k4_finseq_1(A)) & r2_tarski(k3_finseq_1(A), k4_finseq_1(A))) ) ) ).
fof(t7_finseq_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  =>  (? [B] :  (v7_ordinal1(B) & k1_nat_1(B, 1)=k3_finseq_1(A)) ) ) ) ).
fof(t8_finseq_5, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => k3_finseq_1(k7_finseq_1(k9_finseq_1(A), B))=k1_nat_1(1, k3_finseq_1(B))) ) ) ).
fof(t9_finseq_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (! [C] :  ( (r2_tarski(B, k10_xtuple_0(A)) &  (r2_tarski(C, k10_xtuple_0(A)) & k4_finseq_4(A, B)=k4_finseq_4(A, C)) )  => B=C) ) ) ) ) ).
fof(t10_finseq_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ( (r2_tarski(k1_nat_1(A, 1), k4_finseq_1(B)) & C=k5_relat_1(B, k2_finseq_1(A)))  => k5_relat_1(B, k2_finseq_1(k1_nat_1(A, 1)))=k7_finseq_1(C, k9_finseq_1(k1_funct_1(B, k1_nat_1(A, 1))))) ) ) ) ) ) ) ).
fof(t11_finseq_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_funct_1(B) & v1_finseq_1(B)) ) )  =>  (r2_tarski(A, k4_finseq_1(B)) => k4_finseq_4(B, k1_funct_1(B, A))=A) ) ) ) ) ).
fof(t12_finseq_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  ( (k4_finseq_1(B)=k4_finseq_1(C) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(B)) => k7_partfun1(A, B, D)=k7_partfun1(A, C, D)) ) ) )  => B=C) ) ) ) ) ) ) ).
fof(t13_finseq_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, k3_finseq_1(B)))  => k7_partfun1(A, B, D)=k7_partfun1(A, C, D)) ) ) )  => B=C) ) ) ) ) ) ) ).
fof(t14_finseq_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (k3_finseq_1(A)=1 => A=k9_finseq_1(k1_funct_1(A, 1))) ) ) ).
fof(t15_finseq_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) => k7_partfun1(A, k8_finseq_1(A, k12_finseq_1(A, B), C), 1)=B) ) ) ) ) ) ).
fof(t16_finseq_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) => r1_xxreal_0(k3_finseq_1(k16_finseq_1(B, A)), k3_finseq_1(A))) ) ) ) ).
fof(t17_finseq_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) => r1_xxreal_0(k3_finseq_1(k16_finseq_1(B, A)), B)) ) ) ) ).
fof(t18_finseq_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) => r1_tarski(k4_finseq_1(k16_finseq_1(B, A)), k4_finseq_1(A))) ) ) ) ).
fof(t19_finseq_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) => r1_tarski(k10_xtuple_0(k16_finseq_1(B, A)), k10_xtuple_0(A))) ) ) ) ).
fof(t20_finseq_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  ( ~ (v1_xboole_0(A))  => k16_finseq_1(1, A)=k9_finseq_1(k1_funct_1(A, 1))) ) ) ).
fof(t21_finseq_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, B) =>  (k1_nat_1(A, 1)=k3_finseq_1(C) => C=k8_finseq_1(B, k17_finseq_1(B, A, C), k12_finseq_1(B, k7_partfun1(B, C, k3_finseq_1(C))))) ) ) ) ) ) ) ).
fof(t22_finseq_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r1_xxreal_0(A, k3_finseq_1(B)) => k16_finseq_1(A, k7_finseq_1(B, C))=k16_finseq_1(A, B)) ) ) ) ) ) ) ).
fof(t23_finseq_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => k16_finseq_1(k3_finseq_1(A), k7_finseq_1(A, B))=A) ) ) ) ).
fof(t24_finseq_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (! [D] :  (m2_finseq_1(D, C) =>  (r2_tarski(B, k10_xtuple_0(D)) => k7_finseq_1(k5_finseq_4(D, B), k12_finseq_1(A, B))=k17_finseq_1(C, k4_finseq_4(D, B), D)) ) ) ) ) ) ) ) ).
fof(t25_finseq_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => r1_xxreal_0(k3_finseq_1(k1_rfinseq(A, B)), k3_finseq_1(B))) ) ) ) ).
fof(t26_finseq_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r2_tarski(A, k4_finseq_1(k1_rfinseq(B, C))) => r2_tarski(k2_xcmplx_0(B, A), k4_finseq_1(C))) ) ) ) ) ) ) ).
fof(t27_finseq_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (! [D] :  (m2_finseq_1(D, C) =>  ( (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  (r2_tarski(A, k4_finseq_1(k1_rfinseq(B, E))) => k1_funct_1(k1_rfinseq(B, E), A)=k1_funct_1(E, k2_xcmplx_0(B, A))) ) )  &  (r2_tarski(A, k4_finseq_1(k2_rfinseq(C, B, D))) => k7_partfun1(C, k2_rfinseq(C, B, D), A)=k7_partfun1(C, D, k2_xcmplx_0(B, A))) ) ) ) ) ) ) ) ) ).
fof(t28_finseq_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k1_rfinseq(k5_numbers, A)=A) ) ).
fof(t29_finseq_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  ( ~ (v1_xboole_0(B))  => B=k8_finseq_1(A, k12_finseq_1(A, k7_partfun1(A, B, 1)), k2_rfinseq(A, 1, B))) ) ) ) ) ).
fof(t30_finseq_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (k1_nat_1(A, 1)=k3_finseq_1(B) => k1_rfinseq(A, B)=k9_finseq_1(k1_funct_1(B, k3_finseq_1(B)))) ) ) ) ) ).
fof(t31_finseq_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m2_finseq_1(D, C) =>  ( (k1_nat_1(B, 1)=A & r2_tarski(A, k4_finseq_1(D)))  => k8_finseq_1(C, k12_finseq_1(C, k7_partfun1(C, D, A)), k2_rfinseq(C, A, D))=k2_rfinseq(C, B, D)) ) ) ) ) ) ) ) ) ).
fof(t32_finseq_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r1_xxreal_0(k3_finseq_1(B), A) => v1_xboole_0(k1_rfinseq(A, B))) ) ) ) ) ).
fof(t33_finseq_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => r1_tarski(k10_xtuple_0(k1_rfinseq(A, B)), k10_xtuple_0(B))) ) ) ) ).
fof(t34_finseq_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (v2_funct_1(B) => r1_xboole_0(k10_xtuple_0(k16_finseq_1(A, B)), k10_xtuple_0(k1_rfinseq(A, B)))) ) ) ) ) ).
fof(t35_finseq_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r2_tarski(B, k10_xtuple_0(C)) => k6_finseq_4(C, B)=k2_rfinseq(A, k4_finseq_4(C, B), C)) ) ) ) ) ) ) ).
fof(t36_finseq_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  => k1_rfinseq(k2_xcmplx_0(k3_finseq_1(B), A), k7_finseq_1(B, C))=k1_rfinseq(A, C)) ) ) ) ) ) ).
fof(t37_finseq_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => k1_rfinseq(k3_finseq_1(A), k7_finseq_1(A, B))=B) ) ) ) ).
fof(t38_finseq_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r2_tarski(B, k10_xtuple_0(C)) => k7_partfun1(A, C, k4_finseq_4(C, B))=B) ) ) ) ) ) ) ).
fof(t39_finseq_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, B) =>  (r2_tarski(A, k4_finseq_1(C)) => r1_xxreal_0(k4_finseq_4(C, k7_partfun1(B, C, A)), A)) ) ) ) ) ) ) ).
fof(t40_finseq_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (m2_finseq_1(D, B) =>  (r2_tarski(C, k10_xtuple_0(k17_finseq_1(B, A, D))) => k4_finseq_4(k17_finseq_1(B, A, D), C)=k4_finseq_4(D, C)) ) ) ) ) ) ) ) ) ).
fof(t41_finseq_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, B) =>  ( (r2_tarski(A, k4_finseq_1(C)) & v2_funct_1(C))  => k4_finseq_4(C, k7_partfun1(B, C, A))=A) ) ) ) ) ) ) ).
fof(d1_finseq_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] : k1_finseq_5(A, B, C)=k17_finseq_1(A, k4_finseq_4(B, C), B)) ) ) ) ) ).
fof(t42_finseq_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r2_tarski(B, k10_xtuple_0(C)) => k3_finseq_1(k1_finseq_5(A, C, B))=k4_finseq_4(C, B)) ) ) ) ) ) ) ).
fof(t43_finseq_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (m2_finseq_1(D, B) =>  ( (r2_tarski(C, k10_xtuple_0(D)) & r2_tarski(A, k2_finseq_1(k4_finseq_4(D, C))))  => k7_partfun1(B, k1_finseq_5(B, D, C), A)=k7_partfun1(B, D, A)) ) ) ) ) ) ) ) ) ).
fof(t44_finseq_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r2_tarski(B, k10_xtuple_0(C)) => k7_partfun1(A, k1_finseq_5(A, C, B), 1)=k7_partfun1(A, C, 1)) ) ) ) ) ) ) ).
fof(t45_finseq_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r2_tarski(B, k10_xtuple_0(C)) => k7_partfun1(A, k1_finseq_5(A, C, B), k4_finseq_4(C, B))=B) ) ) ) ) ) ) ).
fof(t46_finseq_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  ( (r2_tarski(D, k10_xtuple_0(C)) &  (r2_tarski(B, k10_xtuple_0(C)) & r1_xxreal_0(k4_finseq_4(C, D), k4_finseq_4(C, B))) )  => r2_tarski(D, k10_xtuple_0(k1_finseq_5(A, C, B)))) ) ) ) ) ) ) ) ).
fof(t47_finseq_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  ~ ( (r2_tarski(B, k10_xtuple_0(C)) & v1_xboole_0(k1_finseq_5(A, C, B))) ) ) ) ) ) ) ) ).
fof(t48_finseq_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) => r1_tarski(k10_xtuple_0(k1_finseq_5(A, C, B)), k10_xtuple_0(C))) ) ) ) ) ) ).
fof(d2_finseq_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) => k2_finseq_5(A, B, C)=k8_finseq_1(A, k12_finseq_1(A, C), k2_rfinseq(A, k4_finseq_4(B, C), B))) ) ) ) ) ) ).
fof(t49_finseq_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  ~ ( (r2_tarski(B, k10_xtuple_0(C)) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ~ ( (k1_nat_1(D, 1)=k4_finseq_4(C, B) & k2_finseq_5(A, C, B)=k2_rfinseq(A, D, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_finseq_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r2_tarski(B, k10_xtuple_0(C)) => k3_finseq_1(k2_finseq_5(A, C, B))=k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(C), k4_finseq_4(C, B)), 1)) ) ) ) ) ) ) ).
fof(t51_finseq_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (m2_finseq_1(D, B) =>  ( (r2_tarski(C, k10_xtuple_0(D)) & r2_tarski(k1_nat_1(A, 1), k4_finseq_1(k2_finseq_5(B, D, C))))  => r2_tarski(k1_nat_1(A, k4_finseq_4(D, C)), k4_finseq_1(D))) ) ) ) ) ) ) ) ) ).
fof(t52_finseq_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (m2_finseq_1(D, B) =>  ( (r2_tarski(C, k10_xtuple_0(D)) & r2_tarski(k1_nat_1(A, 1), k4_finseq_1(k2_finseq_5(B, D, C))))  => k7_partfun1(B, k2_finseq_5(B, D, C), k1_nat_1(A, 1))=k7_partfun1(B, D, k1_nat_1(A, k4_finseq_4(D, C)))) ) ) ) ) ) ) ) ) ).
fof(t53_finseq_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) => k7_partfun1(A, k2_finseq_5(A, C, B), 1)=B) ) ) ) ) ) ).
fof(t54_finseq_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r2_tarski(B, k10_xtuple_0(C)) => k7_partfun1(A, k2_finseq_5(A, C, B), k3_finseq_1(k2_finseq_5(A, C, B)))=k7_partfun1(A, C, k3_finseq_1(C))) ) ) ) ) ) ) ).
fof(t55_finseq_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r2_tarski(B, k10_xtuple_0(C)) => r1_tarski(k10_xtuple_0(k2_finseq_5(A, C, B)), k10_xtuple_0(C))) ) ) ) ) ) ) ).
fof(t56_finseq_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  ( (r2_tarski(B, k10_xtuple_0(C)) & v2_funct_1(C))  => v2_funct_1(k2_finseq_5(A, C, B))) ) ) ) ) ) ) ).
fof(d3_finseq_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (B=k3_finseq_5(A) <=>  (k3_finseq_1(B)=k3_finseq_1(A) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => k1_funct_1(B, C)=k1_funct_1(A, k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(A), C), 1))) ) ) ) ) ) ) ) ) ).
fof(t57_finseq_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (k4_finseq_1(A)=k4_finseq_1(k3_finseq_5(A)) & k10_xtuple_0(A)=k10_xtuple_0(k3_finseq_5(A))) ) ) ).
fof(t58_finseq_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r2_tarski(A, k4_finseq_1(B)) => k1_funct_1(k3_finseq_5(B), A)=k1_funct_1(B, k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(B), A), 1))) ) ) ) ) ).
fof(t59_finseq_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r2_tarski(B, k4_finseq_1(A)) & k2_xcmplx_0(B, C)=k1_nat_1(k3_finseq_1(A), 1))  => r2_tarski(C, k4_finseq_1(k3_finseq_5(A)))) ) ) ) ) ) ) ).
fof(t60_finseq_5, axiom,  (! [A] : k3_finseq_5(k9_finseq_1(A))=k9_finseq_1(A)) ).
fof(t61_finseq_5, axiom,  (! [A] :  (! [B] : k3_finseq_5(k10_finseq_1(A, B))=k10_finseq_1(B, A)) ) ).
fof(t62_finseq_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (k1_funct_1(A, 1)=k1_funct_1(k3_finseq_5(A), k3_finseq_1(A)) & k1_funct_1(A, k3_finseq_1(A))=k1_funct_1(k3_finseq_5(A), 1)) ) ) ).
fof(t63_finseq_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] : k3_finseq_5(k7_finseq_1(A, k9_finseq_1(B)))=k7_finseq_1(k9_finseq_1(B), k3_finseq_5(A))) ) ) ).
fof(t64_finseq_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => k3_finseq_5(k7_finseq_1(A, B))=k7_finseq_1(k3_finseq_5(B), k3_finseq_5(A))) ) ) ) ).
fof(t65_finseq_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  ( ~ (v1_xboole_0(B))  =>  (k7_partfun1(A, B, 1)=k7_partfun1(A, k4_finseq_5(A, B), k3_finseq_1(B)) & k7_partfun1(A, B, k3_finseq_1(B))=k7_partfun1(A, k4_finseq_5(A, B), 1)) ) ) ) ) ) ).
fof(t66_finseq_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, B) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(D, k4_finseq_1(C)) & k2_xcmplx_0(D, A)=k1_nat_1(k3_finseq_1(C), 1))  => k7_partfun1(B, C, D)=k7_partfun1(B, k4_finseq_5(B, C), A)) ) ) ) ) ) ) ) ) ).
fof(d4_finseq_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (v7_ordinal1(D) => k5_finseq_5(A, B, C, D)=k8_finseq_1(A, k8_finseq_1(A, k17_finseq_1(A, D, B), k12_finseq_1(A, C)), k2_rfinseq(A, D, B))) ) ) ) ) ) ) ) ).
fof(t67_finseq_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) => k5_finseq_5(A, C, B, k5_numbers)=k8_finseq_1(A, k12_finseq_1(A, B), C)) ) ) ) ) ) ).
fof(t68_finseq_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (m2_finseq_1(D, B) =>  (r1_xxreal_0(k3_finseq_1(D), A) => k5_finseq_5(B, D, C, A)=k8_finseq_1(B, D, k12_finseq_1(B, C))) ) ) ) ) ) ) ) ) ).
fof(t69_finseq_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (m2_finseq_1(D, B) => k3_finseq_1(k5_finseq_5(B, D, C, A))=k1_nat_1(k3_finseq_1(D), 1)) ) ) ) ) ) ) ) ).
fof(t70_finseq_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (m2_finseq_1(D, B) => k10_xtuple_0(k5_finseq_5(B, D, C, A))=k2_xboole_0(k1_tarski(C), k10_xtuple_0(D))) ) ) ) ) ) ) ) ).
fof(t71_finseq_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (m2_finseq_1(D, B) => r2_tarski(C, k10_xtuple_0(k5_finseq_5(B, D, C, A)))) ) ) ) ) ) ) ) ).
fof(t72_finseq_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (m2_finseq_1(D, B) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(k17_finseq_1(B, A, D))) => k1_funct_1(k5_finseq_5(B, D, C, A), E)=k1_funct_1(D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t73_finseq_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (m2_finseq_1(D, B) =>  (r1_xxreal_0(A, k3_finseq_1(D)) => k1_funct_1(k5_finseq_5(B, D, C, A), k1_nat_1(A, 1))=C) ) ) ) ) ) ) ) ) ).
fof(t74_finseq_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (m2_finseq_1(D, B) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(k1_nat_1(A, 1), E) & r1_xxreal_0(E, k3_finseq_1(D)))  => k1_funct_1(k5_finseq_5(B, D, C, A), k1_nat_1(E, 1))=k1_funct_1(D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_finseq_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (m2_finseq_1(D, B) =>  (r1_xxreal_0(1, A) =>  (v1_xboole_0(D) | k1_funct_1(k5_finseq_5(B, D, C, A), 1)=k1_funct_1(D, 1)) ) ) ) ) ) ) ) ) ) ).
fof(t76_finseq_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (m2_finseq_1(D, B) =>  (v2_funct_1(D) =>  (r2_tarski(C, k10_xtuple_0(D)) | v2_funct_1(k5_finseq_5(B, D, C, A))) ) ) ) ) ) ) ) ) ) ).
fof(t77_finseq_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(C, D) =>  (k17_finseq_1(A, D, k17_finseq_1(A, C, B))=k17_finseq_1(A, C, B) & k17_finseq_1(A, C, k17_finseq_1(A, D, B))=k17_finseq_1(A, C, B)) ) ) ) ) ) ) ) ) ) ).
fof(t78_finseq_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) => k17_finseq_1(A, B, k6_finseq_1(A))=k6_finseq_1(A)) ) ) ) ).
fof(t79_finseq_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k4_finseq_5(A, k6_finseq_1(A))=k6_finseq_1(A)) ) ).
fof(t80_finseq_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k17_finseq_1(A, k7_nat_d(D, C), k2_rfinseq(A, C, B))=k2_rfinseq(A, C, k17_finseq_1(A, D, B))) ) ) ) ) ) ) ) ).
fof(t81_finseq_5, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (r1_xxreal_0(2, k3_finseq_1(B)) => k17_finseq_1(A, 2, B)=k10_finseq_1(k7_partfun1(A, B, 1), k7_partfun1(A, B, 2))) ) ) ) ).
fof(t82_finseq_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  (m2_finseq_1(C, B) =>  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(C)) => k17_finseq_1(B, k1_nat_1(A, 1), C)=k7_finseq_1(k17_finseq_1(B, A, C), k9_finseq_1(k7_partfun1(B, C, k1_nat_1(A, 1))))) ) ) ) ) ) ).
fof(t83_finseq_5, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (r1_xxreal_0(k3_finseq_1(B), C))  => k17_finseq_1(A, k1_nat_1(C, 1), B)=k7_finseq_1(k17_finseq_1(A, C, B), k9_finseq_1(k1_funct_1(B, k1_nat_1(C, 1))))) ) ) ) ) ) ).
fof(t84_finseq_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, k3_finseq_1(B)))  => B=k7_finseq_1(k7_finseq_1(k17_finseq_1(A, k7_nat_d(C, 1), B), k9_finseq_1(k1_funct_1(B, C))), k2_rfinseq(A, C, B))) ) ) ) ) ) ) ).
fof(t85_finseq_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, A))  => k2_rfinseq(A, 1, B)=k2_finseq_3(1, B)) ) ) ) ).
fof(t86_finseq_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, A))  => B=k7_finseq_1(k9_finseq_1(k1_funct_1(B, 1)), k2_finseq_3(1, B))) ) ) ) ).
fof(dt_k1_finseq_5, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(B, A))  => m2_finseq_1(k1_finseq_5(A, B, C), A)) ) ).
fof(dt_k2_finseq_5, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_finseq_1(B, A) & m1_subset_1(C, A)) )  => m2_finseq_1(k2_finseq_5(A, B, C), A)) ) ).
fof(dt_k3_finseq_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(k3_finseq_5(A)) &  (v1_funct_1(k3_finseq_5(A)) & v1_finseq_1(k3_finseq_5(A))) ) ) ) ).
fof(involutiveness_k3_finseq_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k3_finseq_5(k3_finseq_5(A))=A) ) ).
fof(dt_k4_finseq_5, axiom,  (! [A, B] :  (m1_finseq_1(B, A) => m2_finseq_1(k4_finseq_5(A, B), A)) ) ).
fof(involutiveness_k4_finseq_5, axiom,  (! [A, B] :  (m1_finseq_1(B, A) => k4_finseq_5(A, k4_finseq_5(A, B))=B) ) ).
fof(redefinition_k4_finseq_5, axiom,  (! [A, B] :  (m1_finseq_1(B, A) => k4_finseq_5(A, B)=k3_finseq_5(B)) ) ).
fof(dt_k5_finseq_5, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m1_finseq_1(B, A) &  (m1_subset_1(C, A) & v7_ordinal1(D)) ) )  => m2_finseq_1(k5_finseq_5(A, B, C, D), A)) ) ).
fof(fc1_finseq_6, axiom,  (! [A, B, C] :  ~ (v1_zfmisc_1(k11_finseq_1(A, B, C))) ) ).
fof(fc2_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  =>  (v1_relat_1(k3_finseq_5(A)) &  ( ~ (v1_xboole_0(k3_finseq_5(A)))  &  (v1_funct_1(k3_finseq_5(A)) & v1_finseq_1(k3_finseq_5(A))) ) ) ) ) ).
fof(fc3_finseq_6, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  & v7_ordinal1(B))  =>  (v1_relat_1(k5_relat_1(A, k2_finseq_1(B))) & v1_finseq_1(k5_relat_1(A, k2_finseq_1(B)))) ) ) ).
fof(fc4_finseq_6, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  & m1_finseq_1(B, A))  & m1_subset_1(C, A)) )  =>  ~ (v1_xboole_0(k1_finseq_6(A, B, C))) ) ) ).
fof(rc1_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_finseq_1(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v3_card_1(B, 1) &  (v1_finseq_1(B) &  (v2_finseq_1(B) & v1_finseq_6(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_finseq_1(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  ( ~ (v1_zfmisc_1(B))  &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) & v1_finseq_6(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc5_finseq_6, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  ( ~ (v1_xboole_0(C))  &  (v1_finseq_6(C, A) & m1_finseq_1(C, A)) ) ) )  => v1_finseq_6(k1_finseq_6(A, C, B), A)) ) ).
fof(rc3_finseq_6, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v2_finseq_6(A) & v3_finseq_6(A)) ) ) ) ) ) ) ) ).
fof(cc1_finseq_6, axiom,  (! [A, B] :  (m1_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => v2_finseq_1(C)) ) ) ) ).
fof(rc4_finseq_6, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  (? [B] :  (m1_finseq_1(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  ( ~ (v3_funct_1(B))  &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) & v1_finseq_6(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc6_finseq_6, axiom,  (! [A, B, C] :  ( ( ~ (v1_zfmisc_1(A))  &  (m1_subset_1(B, A) &  ( ~ (v3_funct_1(C))  &  (v1_finseq_6(C, A) & m1_finseq_1(C, A)) ) ) )  =>  ~ (v3_funct_1(k1_finseq_6(A, C, B))) ) ) ).
fof(t1_finseq_6, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  ( (r1_tarski(A, k2_finseq_1(B)) & r2_tarski(1, A))  => k1_funct_1(k14_finseq_1(A), 1)=1) ) ) ) ).
fof(t2_finseq_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( (r2_tarski(A, k4_finseq_1(B)) &  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, C) &  ( ~ (r1_xxreal_0(A, C))  & k1_funct_1(B, C)=k1_funct_1(B, A)) ) ) ) ) )  => k4_finseq_4(B, k1_funct_1(B, A))=A) ) ) ) ) ).
fof(t3_finseq_6, axiom,  (! [A] :  (! [B] : k5_relat_1(k10_finseq_1(A, B), k2_finseq_1(1))=k9_finseq_1(A)) ) ).
fof(t4_finseq_6, axiom,  (! [A] :  (! [B] :  (! [C] : k5_relat_1(k11_finseq_1(A, B, C), k2_finseq_1(1))=k9_finseq_1(A)) ) ) ).
fof(t5_finseq_6, axiom,  (! [A] :  (! [B] :  (! [C] : k5_relat_1(k11_finseq_1(A, B, C), k2_finseq_1(2))=k10_finseq_1(A, B)) ) ) ).
fof(t6_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (r2_tarski(C, k10_xtuple_0(A)) => k4_finseq_4(k7_finseq_1(A, B), C)=k4_finseq_4(A, C)) ) ) ) ) ) ).
fof(t7_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (r2_tarski(C, k6_subset_1(k10_xtuple_0(B), k10_xtuple_0(A))) => k4_finseq_4(k7_finseq_1(A, B), C)=k1_nat_1(k3_finseq_1(A), k4_finseq_4(B, C))) ) ) ) ) ) ).
fof(t8_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (r2_tarski(C, k10_xtuple_0(A)) => k6_finseq_4(k7_finseq_1(A, B), C)=k7_finseq_1(k6_finseq_4(A, C), B)) ) ) ) ) ) ).
fof(t9_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (r2_tarski(C, k6_subset_1(k10_xtuple_0(B), k10_xtuple_0(A))) => k6_finseq_4(k7_finseq_1(A, B), C)=k6_finseq_4(B, C)) ) ) ) ) ) ).
fof(t10_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => r1_tarski(A, k7_finseq_1(A, B))) ) ) ) ).
fof(t11_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (r1_tarski(C, k4_finseq_1(A)) => k5_relat_1(k7_finseq_1(A, B), C)=k5_relat_1(A, C)) ) ) ) ) ) ).
fof(t12_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (r2_tarski(C, k10_xtuple_0(A)) => k5_finseq_4(k7_finseq_1(A, B), C)=k5_finseq_4(A, C)) ) ) ) ) ) ).
fof(t13_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r1_tarski(A, B) => r1_tarski(k7_finseq_1(C, A), k7_finseq_1(C, B))) ) ) ) ) ) ) ).
fof(t14_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (v7_ordinal1(C) => k5_relat_1(k7_finseq_1(A, B), k2_finseq_1(k2_xcmplx_0(k3_finseq_1(A), C)))=k7_finseq_1(A, k5_relat_1(B, k2_finseq_1(C)))) ) ) ) ) ) ).
fof(t15_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (r2_tarski(C, k6_subset_1(k10_xtuple_0(B), k10_xtuple_0(A))) => k5_finseq_4(k7_finseq_1(A, B), C)=k7_finseq_1(A, k5_finseq_4(B, C))) ) ) ) ) ) ).
fof(t16_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (r2_finseq_4(k7_finseq_1(A, B), C) => r2_tarski(C, k5_xboole_0(k10_xtuple_0(A), k10_xtuple_0(B)))) ) ) ) ) ) ).
fof(t17_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (r2_finseq_4(k7_finseq_1(A, B), C) & r2_tarski(C, k10_xtuple_0(A)))  => r2_finseq_4(A, C)) ) ) ) ) ) ).
fof(t18_finseq_6, axiom,  (! [A] : k4_finseq_4(k9_finseq_1(A), A)=1) ).
fof(t19_finseq_6, axiom,  (! [A] :  (! [B] : k4_finseq_4(k10_finseq_1(A, B), A)=1) ) ).
fof(t20_finseq_6, axiom,  (! [A] :  (! [B] :  ( ~ (A=B)  => k4_finseq_4(k10_finseq_1(A, B), B)=2) ) ) ).
fof(t21_finseq_6, axiom,  (! [A] :  (! [B] :  (! [C] : k4_finseq_4(k11_finseq_1(A, B, C), A)=1) ) ) ).
fof(t22_finseq_6, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (A=B)  => k4_finseq_4(k11_finseq_1(A, B, C), B)=2) ) ) ) ).
fof(t23_finseq_6, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (A=C)  &  ( ~ (B=C)  &  ~ (k4_finseq_4(k11_finseq_1(A, B, C), C)=3) ) ) ) ) ) ) ).
fof(t24_finseq_6, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => k3_finseq_5(k7_finseq_1(k9_finseq_1(A), B))=k7_finseq_1(k3_finseq_5(B), k9_finseq_1(A))) ) ) ).
fof(t25_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k3_finseq_5(k3_finseq_5(A))=A) ) ).
fof(t26_finseq_6, axiom,  (! [A] :  (! [B] :  ( ~ (A=B)  => k5_finseq_4(k10_finseq_1(A, B), B)=k9_finseq_1(A)) ) ) ).
fof(t27_finseq_6, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (A=B)  => k5_finseq_4(k11_finseq_1(A, B, C), B)=k9_finseq_1(A)) ) ) ) ).
fof(t28_finseq_6, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (A=C)  &  ( ~ (B=C)  &  ~ (k5_finseq_4(k11_finseq_1(A, B, C), C)=k10_finseq_1(A, B)) ) ) ) ) ) ) ).
fof(t29_finseq_6, axiom,  (! [A] :  (! [B] : k6_finseq_4(k10_finseq_1(A, B), A)=k9_finseq_1(B)) ) ).
fof(t30_finseq_6, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (A=B)  => k6_finseq_4(k11_finseq_1(A, B, C), B)=k9_finseq_1(C)) ) ) ) ).
fof(t31_finseq_6, axiom,  (! [A] :  (! [B] :  (! [C] : k6_finseq_4(k11_finseq_1(A, B, C), A)=k10_finseq_1(B, C)) ) ) ).
fof(t32_finseq_6, axiom,  (! [A] :  (k6_finseq_4(k9_finseq_1(A), A)=k1_xboole_0 & k5_finseq_4(k9_finseq_1(A), A)=k1_xboole_0) ) ).
fof(t33_finseq_6, axiom,  (! [A] :  (! [B] :  ( ~ (A=B)  => k6_finseq_4(k10_finseq_1(A, B), B)=k1_xboole_0) ) ) ).
fof(t34_finseq_6, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (A=C)  &  ( ~ (B=C)  &  ~ (k6_finseq_4(k11_finseq_1(A, B, C), C)=k1_xboole_0) ) ) ) ) ) ) ).
fof(t35_finseq_6, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ( (r2_tarski(A, k10_xtuple_0(C)) & r2_tarski(B, k10_xtuple_0(k5_finseq_4(C, A))))  => k5_finseq_4(k5_finseq_4(C, A), B)=k5_finseq_4(C, B)) ) ) ) ) ).
fof(t36_finseq_6, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ( ~ (r2_tarski(A, k10_xtuple_0(B)))  => k4_finseq_4(k7_finseq_1(k7_finseq_1(B, k9_finseq_1(A)), C), A)=k1_nat_1(k3_finseq_1(B), 1)) ) ) ) ) ) ).
fof(t37_finseq_6, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r2_finseq_4(B, A) => k1_nat_1(k4_finseq_4(B, A), k4_finseq_4(k3_finseq_5(B), A))=k1_nat_1(k3_finseq_1(B), 1)) ) ) ) ).
fof(t38_finseq_6, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r2_finseq_4(B, A) => k3_finseq_5(k5_finseq_4(B, A))=k6_finseq_4(k3_finseq_5(B), A)) ) ) ) ).
fof(t39_finseq_6, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r2_finseq_4(B, A) => r2_finseq_4(k3_finseq_5(B), A)) ) ) ) ).
fof(t40_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r2_tarski(B, k10_xtuple_0(C)) => k1_finseq_5(A, C, B)=k7_finseq_1(k5_finseq_4(C, B), k12_finseq_1(A, B))) ) ) ) ) ) ) ).
fof(t41_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r2_tarski(B, k10_xtuple_0(C)) => k2_finseq_5(A, C, B)=k7_finseq_1(k12_finseq_1(A, B), k6_finseq_4(C, B))) ) ) ) ) ) ) ).
fof(t42_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  ( ~ (B=k1_xboole_0)  => r2_tarski(k7_partfun1(A, B, 1), k10_xtuple_0(B))) ) ) ) ) ).
fof(t43_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  ( ~ (B=k1_xboole_0)  => k4_finseq_4(B, k7_partfun1(A, B, 1))=1) ) ) ) ) ).
fof(t44_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (k7_partfun1(A, C, 1)=B =>  (C=k1_xboole_0 |  (k1_finseq_5(A, C, B)=k12_finseq_1(A, B) & k2_finseq_5(A, C, B)=C) ) ) ) ) ) ) ) ) ).
fof(t45_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) => k2_rfinseq(A, 1, k8_finseq_1(A, k12_finseq_1(A, B), C))=C) ) ) ) ) ) ).
fof(t46_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) => k2_rfinseq(A, 1, k2_finseq_4(A, B, C))=k12_finseq_1(A, C)) ) ) ) ) ) ).
fof(t47_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) => k2_rfinseq(A, 1, k3_finseq_4(A, B, C, D))=k2_finseq_4(A, C, D)) ) ) ) ) ) ) ) ).
fof(t48_finseq_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, B) =>  ( (r2_tarski(A, k4_finseq_1(C)) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(1, D) &  ( ~ (r1_xxreal_0(A, D))  & k7_partfun1(B, C, D)=k7_partfun1(B, C, A)) ) ) ) ) )  => k4_finseq_4(C, k7_partfun1(B, C, A))=A) ) ) ) ) ) ) ).
fof(t49_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  ( ~ (B=C)  => k1_finseq_5(A, k2_finseq_4(A, B, C), C)=k2_finseq_4(A, B, C)) ) ) ) ) ) ) ).
fof(t50_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  ( ~ (B=C)  => k1_finseq_5(A, k3_finseq_4(A, B, C, D), C)=k2_finseq_4(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t51_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  ~ ( ( ~ (B=D)  &  ( ~ (C=D)  &  ~ (k1_finseq_5(A, k3_finseq_4(A, B, C, D), D)=k3_finseq_4(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (k2_finseq_5(A, k12_finseq_1(A, B), B)=k12_finseq_1(A, B) & k1_finseq_5(A, k12_finseq_1(A, B), B)=k12_finseq_1(A, B)) ) ) ) ) ).
fof(t53_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  ( ~ (B=C)  => k2_finseq_5(A, k2_finseq_4(A, B, C), C)=k12_finseq_1(A, C)) ) ) ) ) ) ) ).
fof(t54_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  ( ~ (B=C)  => k2_finseq_5(A, k3_finseq_4(A, B, C, D), C)=k2_finseq_4(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t55_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  ~ ( ( ~ (B=D)  &  ( ~ (C=D)  &  ~ (k2_finseq_5(A, k3_finseq_4(A, B, C, D), D)=k12_finseq_1(A, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_finseq_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (m2_finseq_1(D, B) =>  (r2_tarski(C, k10_xtuple_0(D)) =>  (r1_xxreal_0(k4_finseq_4(D, C), A) | k4_finseq_4(D, C)=k1_nat_1(A, k4_finseq_4(k2_rfinseq(B, A, D), C))) ) ) ) ) ) ) ) ) ) ).
fof(t57_finseq_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (m2_finseq_1(D, B) =>  (r2_tarski(C, k10_xtuple_0(D)) =>  (r1_xxreal_0(k4_finseq_4(D, C), A) | r2_tarski(C, k10_xtuple_0(k2_rfinseq(B, A, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t58_finseq_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m2_finseq_1(D, C) =>  (r2_tarski(A, k4_finseq_1(D)) =>  (r1_xxreal_0(A, B) | r2_tarski(k7_partfun1(C, D, A), k10_xtuple_0(k2_rfinseq(C, B, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t59_finseq_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (m2_finseq_1(D, B) =>  (r2_tarski(C, k10_xtuple_0(D)) =>  (r1_xxreal_0(k4_finseq_4(D, C), A) | k1_finseq_5(B, k2_rfinseq(B, A, D), C)=k2_rfinseq(B, A, k1_finseq_5(B, D, C))) ) ) ) ) ) ) ) ) ) ).
fof(t60_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r2_tarski(B, k10_xtuple_0(C)) =>  (k4_finseq_4(C, B)=1 | k1_finseq_5(A, k2_rfinseq(A, 1, C), B)=k2_rfinseq(A, 1, k1_finseq_5(A, C, B))) ) ) ) ) ) ) ) ).
fof(t61_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) => r2_tarski(B, k10_xtuple_0(k2_finseq_5(A, C, B)))) ) ) ) ) ) ).
fof(t62_finseq_6, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (m2_finseq_1(D, B) =>  ( (r2_tarski(A, k10_xtuple_0(D)) &  (r2_tarski(C, k10_xtuple_0(D)) & r1_xxreal_0(k4_finseq_4(D, C), k4_finseq_4(D, A))) )  => r2_tarski(A, k10_xtuple_0(k2_finseq_5(B, D, C)))) ) ) ) ) ) ) ) ).
fof(t63_finseq_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (m2_finseq_1(D, B) =>  ( (r2_tarski(C, k10_xtuple_0(D)) &  (r1_xxreal_0(A, k3_finseq_1(D)) & r1_xxreal_0(k4_finseq_4(D, C), A)) )  => r2_tarski(k7_partfun1(B, D, A), k10_xtuple_0(k2_finseq_5(B, D, C)))) ) ) ) ) ) ) ) ) ).
fof(t64_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  (r2_tarski(B, k10_xtuple_0(C)) => k2_finseq_5(A, k8_finseq_1(A, C, D), B)=k8_finseq_1(A, k2_finseq_5(A, C, B), D)) ) ) ) ) ) ) ) ) ).
fof(t65_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  (r2_tarski(B, k6_subset_1(k10_xtuple_0(D), k10_xtuple_0(C))) => k2_finseq_5(A, k8_finseq_1(A, C, D), B)=k2_finseq_5(A, D, B)) ) ) ) ) ) ) ) ) ).
fof(t66_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  (r2_tarski(B, k10_xtuple_0(C)) => k1_finseq_5(A, k8_finseq_1(A, C, D), B)=k1_finseq_5(A, C, B)) ) ) ) ) ) ) ) ) ).
fof(t67_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  (r2_tarski(B, k6_subset_1(k10_xtuple_0(D), k10_xtuple_0(C))) => k1_finseq_5(A, k8_finseq_1(A, C, D), B)=k8_finseq_1(A, C, k1_finseq_5(A, D, B))) ) ) ) ) ) ) ) ) ).
fof(t68_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) => k2_finseq_5(A, k2_finseq_5(A, C, B), B)=k2_finseq_5(A, C, B)) ) ) ) ) ) ).
fof(t69_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  ( (r2_tarski(B, k10_xtuple_0(D)) & r2_tarski(C, k6_subset_1(k10_xtuple_0(D), k10_xtuple_0(k1_finseq_5(A, D, B)))))  => k6_finseq_4(D, C)=k6_finseq_4(k6_finseq_4(D, B), C)) ) ) ) ) ) ) ) ) ).
fof(t70_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r2_tarski(B, k10_xtuple_0(C)) => k10_xtuple_0(C)=k2_xboole_0(k10_xtuple_0(k1_finseq_5(A, C, B)), k10_xtuple_0(k2_finseq_5(A, C, B)))) ) ) ) ) ) ) ).
fof(t71_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  ( (r2_tarski(B, k10_xtuple_0(D)) & r2_tarski(C, k6_subset_1(k10_xtuple_0(D), k10_xtuple_0(k1_finseq_5(A, D, B)))))  => k2_finseq_5(A, k2_finseq_5(A, D, B), C)=k2_finseq_5(A, D, C)) ) ) ) ) ) ) ) ) ).
fof(t72_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r2_tarski(B, k10_xtuple_0(C)) => k4_finseq_4(k1_finseq_5(A, C, B), B)=k4_finseq_4(C, B)) ) ) ) ) ) ) ).
fof(t73_finseq_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, B) => k17_finseq_1(B, A, k17_finseq_1(B, A, C))=k17_finseq_1(B, A, C)) ) ) ) ) ) ).
fof(t74_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r2_tarski(B, k10_xtuple_0(C)) => k1_finseq_5(A, k1_finseq_5(A, C, B), B)=k1_finseq_5(A, C, B)) ) ) ) ) ) ) ).
fof(t75_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  ( (r2_tarski(B, k10_xtuple_0(D)) & r2_tarski(C, k10_xtuple_0(k1_finseq_5(A, D, B))))  => k1_finseq_5(A, k1_finseq_5(A, D, B), C)=k1_finseq_5(A, D, C)) ) ) ) ) ) ) ) ) ).
fof(t76_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r2_tarski(B, k10_xtuple_0(C)) => k8_finseq_1(A, k1_finseq_5(A, C, B), k2_rfinseq(A, 1, k2_finseq_5(A, C, B)))=C) ) ) ) ) ) ) ).
fof(t77_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  ( ~ (B=k1_xboole_0)  => k2_rfinseq(A, 1, k8_finseq_1(A, B, C))=k8_finseq_1(A, k2_rfinseq(A, 1, B), C)) ) ) ) ) ) ) ).
fof(t78_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r2_tarski(B, k10_xtuple_0(C)) =>  (k4_finseq_4(C, B)=1 | r2_tarski(B, k10_xtuple_0(k2_rfinseq(A, 1, C)))) ) ) ) ) ) ) ) ).
fof(t79_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) => k4_finseq_4(k2_finseq_5(A, C, B), B)=1) ) ) ) ) ) ).
fof(t80_finseq_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  => k2_rfinseq(B, A, k6_finseq_1(B))=k6_finseq_1(B)) ) ) ) ).
fof(t81_finseq_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m2_finseq_1(D, C) => k2_rfinseq(C, k2_xcmplx_0(A, B), D)=k2_rfinseq(C, B, k2_rfinseq(C, A, D))) ) ) ) ) ) ) ) ).
fof(t82_finseq_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (m2_finseq_1(D, B) =>  (r2_tarski(C, k10_xtuple_0(D)) =>  (r1_xxreal_0(k4_finseq_4(D, C), A) | k2_finseq_5(B, k2_rfinseq(B, A, D), C)=k2_finseq_5(B, D, C)) ) ) ) ) ) ) ) ) ) ).
fof(t83_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r2_tarski(B, k10_xtuple_0(C)) =>  (k4_finseq_4(C, B)=1 | k2_finseq_5(A, k2_rfinseq(A, 1, C), B)=k2_finseq_5(A, C, B)) ) ) ) ) ) ) ) ).
fof(t84_finseq_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m2_finseq_1(D, C) =>  (k2_xcmplx_0(A, B)=k3_finseq_1(D) => k4_finseq_5(C, k2_rfinseq(C, B, D))=k17_finseq_1(C, A, k4_finseq_5(C, D))) ) ) ) ) ) ) ) ) ).
fof(t85_finseq_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m2_finseq_1(D, C) =>  (k2_xcmplx_0(A, B)=k3_finseq_1(D) => k4_finseq_5(C, k17_finseq_1(C, B, D))=k2_rfinseq(C, A, k4_finseq_5(C, D))) ) ) ) ) ) ) ) ) ).
fof(t86_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r2_finseq_4(C, B) => k3_finseq_5(k6_finseq_4(C, B))=k5_finseq_4(k4_finseq_5(A, C), B)) ) ) ) ) ) ) ).
fof(t87_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r2_finseq_4(C, B) => k4_finseq_5(A, k2_finseq_5(A, C, B))=k1_finseq_5(A, k4_finseq_5(A, C), B)) ) ) ) ) ) ) ).
fof(t88_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r2_finseq_4(C, B) => k4_finseq_5(A, k1_finseq_5(A, C, B))=k2_finseq_5(A, k4_finseq_5(A, C), B)) ) ) ) ) ) ) ).
fof(d1_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (v1_finseq_6(B, A) <=> k7_partfun1(A, B, 1)=k7_partfun1(A, B, k3_finseq_1(B))) ) ) ) ) ).
fof(d2_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  ( (r2_tarski(C, k10_xtuple_0(B)) => k1_finseq_6(A, B, C)=k8_finseq_1(A, k2_finseq_5(A, B, C), k2_rfinseq(A, 1, k1_finseq_5(A, B, C))))  &  ( ~ (r2_tarski(C, k10_xtuple_0(B)))  => k1_finseq_6(A, B, C)=B) ) ) ) ) ) ) ) ).
fof(t89_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) => k1_finseq_6(A, B, k7_partfun1(A, B, 1))=B) ) ) ) ).
fof(t90_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  ( (v1_finseq_6(C, A) & r2_tarski(B, k10_xtuple_0(C)))  => k10_xtuple_0(k1_finseq_6(A, C, B))=k10_xtuple_0(C)) ) ) ) ) ) ) ).
fof(t91_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r2_tarski(B, k10_xtuple_0(C)) => r2_tarski(B, k10_xtuple_0(k1_finseq_6(A, C, B)))) ) ) ) ) ) ) ).
fof(t92_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r2_tarski(B, k10_xtuple_0(C)) => k7_partfun1(A, k1_finseq_6(A, C, B), 1)=B) ) ) ) ) ) ) ).
fof(t93_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) => k1_finseq_6(A, k1_finseq_6(A, C, B), B)=k1_finseq_6(A, C, B)) ) ) ) ) ) ).
fof(t94_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) => k1_finseq_6(A, k12_finseq_1(A, B), B)=k12_finseq_1(A, B)) ) ) ) ).
fof(t95_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) => k1_finseq_6(A, k2_finseq_4(A, B, C), B)=k2_finseq_4(A, B, C)) ) ) ) ) ) ).
fof(t96_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) => k1_finseq_6(A, k2_finseq_4(A, B, C), C)=k2_finseq_4(A, C, C)) ) ) ) ) ) ).
fof(t97_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) => k1_finseq_6(A, k3_finseq_4(A, B, C, D), B)=k3_finseq_4(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t98_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  ( ~ (B=C)  => k1_finseq_6(A, k3_finseq_4(A, B, C, D), C)=k3_finseq_4(A, C, D, C)) ) ) ) ) ) ) ) ) ).
fof(t99_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  ( ~ (C=D)  => k1_finseq_6(A, k3_finseq_4(A, B, C, D), D)=k3_finseq_4(A, D, C, D)) ) ) ) ) ) ) ) ) ).
fof(t100_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  &  (v1_finseq_6(B, A) & m2_finseq_1(B, A)) )  => k10_xtuple_0(k2_rfinseq(A, 1, B))=k10_xtuple_0(B)) ) ) ) ).
fof(t101_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) => r1_tarski(k10_xtuple_0(k2_rfinseq(A, 1, C)), k10_xtuple_0(k1_finseq_6(A, C, B)))) ) ) ) ) ) ).
fof(t102_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  (r2_tarski(C, k6_subset_1(k10_xtuple_0(D), k10_xtuple_0(k1_finseq_5(A, D, B)))) => k1_finseq_6(A, k1_finseq_6(A, D, B), C)=k1_finseq_6(A, D, C)) ) ) ) ) ) ) ) ) ).
fof(t103_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  (r2_tarski(C, k6_subset_1(k10_xtuple_0(D), k10_xtuple_0(k2_finseq_5(A, D, B)))) =>  (k4_finseq_4(D, C)=1 | k1_finseq_6(A, k1_finseq_6(A, D, B), C)=k1_finseq_6(A, D, C)) ) ) ) ) ) ) ) ) ) ).
fof(t104_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  ( (r2_tarski(C, k10_xtuple_0(k2_rfinseq(A, 1, D))) & r2_finseq_4(D, C))  => k1_finseq_6(A, k1_finseq_6(A, D, B), C)=k1_finseq_6(A, D, C)) ) ) ) ) ) ) ) ) ).
fof(t105_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  ( (v1_finseq_6(D, A) & r2_finseq_4(D, C))  => k1_finseq_6(A, k1_finseq_6(A, D, B), C)=k1_finseq_6(A, D, C)) ) ) ) ) ) ) ) ) ).
fof(t106_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  ( (v1_finseq_6(C, A) & r2_finseq_4(C, B))  => k4_finseq_5(A, k1_finseq_6(A, C, B))=k1_finseq_6(A, k4_finseq_5(A, C), B)) ) ) ) ) ) ) ).
fof(t107_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_zfmisc_1(B) & m2_finseq_1(B, A))  =>  ~ ( ( ~ (v1_xboole_0(B))  &  (! [C] :  (m1_subset_1(C, A) =>  ~ (B=k12_finseq_1(A, C)) ) ) ) ) ) ) ) ) ).
fof(t108_finseq_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ~ ( ( ~ (r1_xxreal_0(A, k3_finseq_1(B)))  &  ( (r1_xxreal_0(A, k1_nat_1(k3_finseq_1(B), k3_finseq_1(C))) | r1_xxreal_0(A, k3_finseq_1(k7_finseq_1(B, C))))  &  ~ (k1_funct_1(k7_finseq_1(B, C), A)=k1_funct_1(C, k6_xcmplx_0(A, k3_finseq_1(B)))) ) ) ) ) ) ) ) ) ) ).
fof(t109_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (m2_finseq_1(C, A) =>  (r1_xxreal_0(1, k3_finseq_1(C)) =>  (k1_funct_1(k7_finseq_1(C, k9_finseq_1(B)), 1)=k1_funct_1(C, 1) &  (k1_funct_1(k7_finseq_1(C, k9_finseq_1(B)), 1)=k7_partfun1(A, C, 1) &  (k1_funct_1(k7_finseq_1(k9_finseq_1(B), C), k1_nat_1(k3_finseq_1(C), 1))=k1_funct_1(C, k3_finseq_1(C)) & k1_funct_1(k7_finseq_1(k9_finseq_1(B), C), k1_nat_1(k3_finseq_1(C), 1))=k7_partfun1(A, C, k3_finseq_1(C))) ) ) ) ) ) ) ) ) ).
fof(t110_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (k3_finseq_1(A)=1 => k3_finseq_5(A)=A) ) ) ).
fof(t111_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) => k3_finseq_1(k2_rfinseq(A, C, B))=k7_nat_d(k3_finseq_1(B), C)) ) ) ) ) ) ).
fof(d3_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(B, C) => k2_finseq_6(A, B, C)=k16_finseq_1(k1_nat_1(k7_nat_d(C, B), 1), k1_rfinseq(k7_nat_d(B, 1), A)))  &  ( ~ (r1_xxreal_0(B, C))  => k2_finseq_6(A, B, C)=k3_finseq_5(k16_finseq_1(k1_nat_1(k7_nat_d(B, C), 1), k1_rfinseq(k7_nat_d(C, 1), A)))) ) ) ) ) ) ) ) ).
fof(t113_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(B)) &  (r1_xxreal_0(1, D) & r1_xxreal_0(D, k3_finseq_1(B))) ) )  => k4_finseq_5(A, k3_finseq_6(A, B, C, D))=k3_finseq_6(A, k4_finseq_5(A, B), k1_nat_1(k7_nat_d(k3_finseq_1(B), D), 1), k1_nat_1(k7_nat_d(k3_finseq_1(B), C), 1))) ) ) ) ) ) ) ) ) ).
fof(t114_finseq_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(k2_xcmplx_0(B, A), k3_finseq_1(C)))  => k1_funct_1(k1_rfinseq(A, C), B)=k1_funct_1(C, k2_xcmplx_0(B, A))) ) ) ) ) ) ) ).
fof(t115_finseq_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, k3_finseq_1(B)))  => k1_funct_1(k3_finseq_5(B), A)=k1_funct_1(B, k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(B), A), 1))) ) ) ) ) ).
fof(t116_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(1, B) => k2_finseq_6(A, 1, B)=k16_finseq_1(B, A)) ) ) ) ) ).
fof(t117_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(B, k3_finseq_1(A)) => k2_finseq_6(A, B, k3_finseq_1(A))=k1_rfinseq(k7_nat_d(B, 1), A)) ) ) ) ) ).
fof(t118_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k3_finseq_1(A)) &  (r1_xxreal_0(1, C) & r1_xxreal_0(C, k3_finseq_1(A))) ) )  =>  (k1_funct_1(k2_finseq_6(A, B, C), 1)=k1_funct_1(A, B) &  ( (r1_xxreal_0(B, C) =>  (k3_finseq_1(k2_finseq_6(A, B, C))=k1_nat_1(k7_nat_d(C, B), 1) &  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, k3_finseq_1(k2_finseq_6(A, B, C))))  => k1_funct_1(k2_finseq_6(A, B, C), D)=k1_funct_1(A, k7_nat_d(k2_xcmplx_0(D, B), 1))) ) ) ) )  &  ( ~ (r1_xxreal_0(B, C))  =>  (k3_finseq_1(k2_finseq_6(A, B, C))=k1_nat_1(k7_nat_d(B, C), 1) &  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, k3_finseq_1(k2_finseq_6(A, B, C))))  => k1_funct_1(k2_finseq_6(A, B, C), D)=k1_funct_1(A, k1_nat_1(k7_nat_d(B, D), 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t119_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => r1_tarski(k10_xtuple_0(k2_finseq_6(A, B, C)), k10_xtuple_0(A))) ) ) ) ) ) ).
fof(t120_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (r1_xxreal_0(1, k3_finseq_1(A)) => k2_finseq_6(A, 1, k3_finseq_1(A))=A) ) ) ).
fof(t121_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (r1_xxreal_0(1, k3_finseq_1(B)) => k3_finseq_6(A, B, k3_finseq_1(B), 1)=k4_finseq_5(A, B)) ) ) ) ) ).
fof(t122_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, C) &  (r1_xxreal_0(C, k3_finseq_1(A)) & r1_xxreal_0(1, D)) ) )  =>  ( ( ~ (r1_xxreal_0(D, k1_nat_1(k7_nat_d(C, B), 1)))  &  ( ~ (r1_xxreal_0(D, k2_xcmplx_0(k6_xcmplx_0(C, B), 1)))  &  ~ (r1_xxreal_0(D, k6_xcmplx_0(k1_nat_1(C, 1), B))) ) )  |  (k1_funct_1(k2_finseq_6(A, B, C), D)=k1_funct_1(A, k7_nat_d(k2_xcmplx_0(D, B), 1)) &  (k1_funct_1(k2_finseq_6(A, B, C), D)=k1_funct_1(A, k2_xcmplx_0(k7_nat_d(D, 1), B)) &  (k1_funct_1(k2_finseq_6(A, B, C), D)=k1_funct_1(A, k6_xcmplx_0(k2_xcmplx_0(D, B), 1)) & k1_funct_1(k2_finseq_6(A, B, C), D)=k1_funct_1(A, k2_xcmplx_0(k6_xcmplx_0(D, 1), B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t123_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, B) & r1_xxreal_0(B, k3_finseq_1(A))) )  => k1_funct_1(k2_finseq_6(A, 1, B), C)=k1_funct_1(A, C)) ) ) ) ) ) ) ).
fof(t124_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k3_finseq_1(k2_finseq_6(A, B, C)), k3_finseq_1(A))) ) ) ) ) ) ).
fof(t125_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] : k16_finseq_1(k1_nat_1(B, 1), k7_finseq_1(k9_finseq_1(C), A))=k7_finseq_1(k9_finseq_1(C), k16_finseq_1(B, A))) ) ) ) ) ).
fof(t126_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(B, k4_finseq_1(A)) =>  (r1_xxreal_0(C, B) | k2_finseq_6(A, B, C)=k7_finseq_1(k9_finseq_1(k1_funct_1(A, B)), k2_finseq_6(A, k1_nat_1(B, 1), C))) ) ) ) ) ) ) ) ).
fof(t127_finseq_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(k1_nat_1(A, 1), B) & r1_xxreal_0(B, C))  <=>  (? [D] :  (v7_ordinal1(D) &  (r1_xxreal_0(A, D) &  ( ~ (r1_xxreal_0(C, D))  & B=k1_nat_1(D, 1)) ) ) ) ) ) ) ) ) ) ) ).
fof(t128_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (B=k5_relat_1(A, k2_finseq_1(C)) =>  (r1_xxreal_0(k3_finseq_1(B), k3_finseq_1(A)) &  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, k3_finseq_1(B)))  => k1_funct_1(A, D)=k1_funct_1(B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t129_finseq_6, axiom,  (! [A] :  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  ( (r1_tarski(A, k2_finseq_1(C)) & r1_tarski(B, k4_finseq_1(k14_finseq_1(A))))  => k3_relat_1(k14_finseq_1(B), k14_finseq_1(A))=k14_finseq_1(k10_xtuple_0(k5_relset_1(k4_ordinal1, k4_ordinal1, k14_finseq_1(A), B)))) ) ) ) ) ).
fof(d4_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  ( ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, C) & r1_xxreal_0(C, k3_finseq_1(A))) )  =>  (D=k4_finseq_6(A, B, C) <=>  (k2_xcmplx_0(k3_finseq_1(D), B)=k1_nat_1(C, 1) &  (! [E] :  (v7_ordinal1(E) =>  ( ~ (r1_xxreal_0(k3_finseq_1(D), E))  => k1_funct_1(D, k1_nat_1(E, 1))=k1_funct_1(A, k2_xcmplx_0(B, E))) ) ) ) ) )  &  ( ~ ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, C) & r1_xxreal_0(C, k3_finseq_1(A))) ) )  =>  (D=k4_finseq_6(A, B, C) <=> D=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ).
fof(t132_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(B, k3_finseq_1(A)))  => k4_finseq_6(A, B, B)=k9_finseq_1(k1_funct_1(A, B))) ) ) ) ) ).
fof(t133_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k4_finseq_6(A, 1, k3_finseq_1(A))=A) ) ).
fof(t134_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(B, C) &  (r1_xxreal_0(C, D) & r1_xxreal_0(D, k3_finseq_1(A))) )  => k7_finseq_1(k4_finseq_6(A, k1_nat_1(B, 1), C), k4_finseq_6(A, k1_nat_1(C, 1), D))=k4_finseq_6(A, k1_nat_1(B, 1), D)) ) ) ) ) ) ) ) ) ).
fof(t135_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(B, k3_finseq_1(A)) => k7_finseq_1(k4_finseq_6(A, 1, B), k4_finseq_6(A, k1_nat_1(B, 1), k3_finseq_1(A)))=A) ) ) ) ) ).
fof(t136_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(B, C) & r1_xxreal_0(C, k3_finseq_1(A)))  => k7_finseq_1(k7_finseq_1(k4_finseq_6(A, 1, B), k4_finseq_6(A, k1_nat_1(B, 1), C)), k4_finseq_6(A, k1_nat_1(C, 1), k3_finseq_1(A)))=A) ) ) ) ) ) ) ).
fof(t137_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => r1_tarski(k10_xtuple_0(k4_finseq_6(A, B, C)), k10_xtuple_0(A))) ) ) ) ) ) ).
fof(t138_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, C) & r1_xxreal_0(C, k3_finseq_1(A))) )  =>  (k1_funct_1(k4_finseq_6(A, B, C), 1)=k1_funct_1(A, B) & k1_funct_1(k4_finseq_6(A, B, C), k3_finseq_1(k4_finseq_6(A, B, C)))=k1_funct_1(A, C)) ) ) ) ) ) ) ) ).
fof(d5_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => k6_finseq_6(A, B)=k7_finseq_1(A, k4_finseq_6(B, 2, k3_finseq_1(B)))) ) ) ) ).
fof(t139_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( ~ (B=k1_xboole_0)  => k1_nat_1(k3_finseq_1(k6_finseq_6(A, B)), 1)=k1_nat_1(k3_finseq_1(A), k3_finseq_1(B))) ) ) ) ) ).
fof(t140_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, k3_finseq_1(A)))  => k1_funct_1(k6_finseq_6(A, B), C)=k1_funct_1(A, C)) ) ) ) ) ) ) ).
fof(t141_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(1, C) =>  (r1_xxreal_0(k3_finseq_1(B), C) | k1_funct_1(k6_finseq_6(A, B), k2_xcmplx_0(k3_finseq_1(A), C))=k1_funct_1(B, k1_nat_1(C, 1))) ) ) ) ) ) ) ) ).
fof(t142_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( ~ (r1_xxreal_0(k3_finseq_1(B), 1))  => k1_funct_1(k6_finseq_6(A, B), k3_finseq_1(k6_finseq_6(A, B)))=k1_funct_1(B, k3_finseq_1(B))) ) ) ) ) ).
fof(t143_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => r1_tarski(k10_xtuple_0(k6_finseq_6(A, B)), k2_xboole_0(k10_xtuple_0(A), k10_xtuple_0(B)))) ) ) ) ).
fof(t144_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (k1_funct_1(A, k3_finseq_1(A))=k1_funct_1(B, 1) =>  (A=k1_xboole_0 |  (B=k1_xboole_0 | k10_xtuple_0(k6_finseq_6(A, B))=k2_xboole_0(k10_xtuple_0(A), k10_xtuple_0(B))) ) ) ) ) ) ) ).
fof(d6_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v2_finseq_6(A) <=> k4_card_1(k10_xtuple_0(A))=2) ) ) ).
fof(t145_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v2_finseq_6(A) <=>  ( ~ (r1_xxreal_0(k3_finseq_1(A), 1))  &  (? [B] :  (? [C] :  ( ~ (B=C)  & k10_xtuple_0(A)=k2_tarski(B, C)) ) ) ) ) ) ) ).
fof(d7_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v3_finseq_6(A) <=>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(k1_nat_1(B, 1), k3_finseq_1(A)) & k1_funct_1(A, B)=k1_funct_1(A, k1_nat_1(B, 1))) ) ) ) ) ) ) ) ).
fof(t146_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) &  (v2_finseq_6(A) & v3_finseq_6(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) &  (v2_finseq_6(B) & v3_finseq_6(B)) ) ) )  =>  ( (k3_finseq_1(A)=k3_finseq_1(B) &  (k10_xtuple_0(A)=k10_xtuple_0(B) & k1_funct_1(A, 1)=k1_funct_1(B, 1)) )  => A=B) ) ) ) ) ).
fof(t147_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) &  (v2_finseq_6(A) & v3_finseq_6(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) &  (v2_finseq_6(B) & v3_finseq_6(B)) ) ) )  =>  ( (k3_finseq_1(A)=k3_finseq_1(B) & k10_xtuple_0(A)=k10_xtuple_0(B))  =>  (A=B |  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(A)) & k1_funct_1(A, C)=k1_funct_1(B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t148_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) &  (v2_finseq_6(A) & v3_finseq_6(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) &  (v2_finseq_6(B) & v3_finseq_6(B)) ) ) )  =>  ( (k3_finseq_1(A)=k3_finseq_1(B) & k10_xtuple_0(A)=k10_xtuple_0(B))  =>  (A=B |  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) &  (v2_finseq_6(C) & v3_finseq_6(C)) ) ) )  =>  ~ ( (k3_finseq_1(C)=k3_finseq_1(A) &  (k10_xtuple_0(C)=k10_xtuple_0(A) &  ( ~ (C=A)  &  ~ (C=B) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t149_finseq_6, axiom,  (! [A] :  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (A=B)  &  ( ~ (r1_xxreal_0(C, 1))  &  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v1_finseq_1(D) &  (v2_finseq_6(D) & v3_finseq_6(D)) ) ) )  =>  ~ ( (k10_xtuple_0(D)=k2_tarski(A, B) &  (k3_finseq_1(D)=C & k1_funct_1(D, 1)=A) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t150_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) )  =>  ( (r1_tarski(k10_xtuple_0(B), k1_relset_1(k4_ordinal1, A)) &  (r1_tarski(k10_xtuple_0(C), k1_relset_1(k4_ordinal1, A)) &  (D=k3_relat_1(B, A) &  (E=k3_relat_1(C, A) & F=k3_relat_1(k7_finseq_1(B, C), A)) ) ) )  => F=k7_finseq_1(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t151_finseq_6, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (r1_tarski(k1_relset_1(k4_ordinal1, C), k4_finseq_1(B)) & r1_tarski(k10_xtuple_0(C), k10_xtuple_0(B))) ) ) ) ) ) ).
fof(t152_finseq_6, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) => m1_subset_1(B, k1_zfmisc_1(B))) ) ) ).
fof(t153_finseq_6, axiom,  (! [A] :  (! [B] :  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(C)) => m1_subset_1(k5_relat_1(D, B), k1_zfmisc_1(C))) ) ) ) ) ) ).
fof(t154_finseq_6, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(B)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(B)) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(C)) =>  ( (k15_finseq_1(E)=C &  (k15_finseq_1(G)=D & F=k5_relat_1(E, k10_xtuple_0(k5_relset_1(k4_ordinal1, k4_ordinal1, k14_finseq_1(k1_relset_1(k4_ordinal1, E)), k1_relset_1(k4_ordinal1, G))))) )  => k15_finseq_1(F)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t155_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, A))  =>  (! [C] :  (m2_finseq_1(C, A) => k7_partfun1(A, k7_finseq_6(A, B, C), 1)=k7_partfun1(A, B, 1)) ) ) ) ) ) ).
fof(t156_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  ( ( ~ (v1_zfmisc_1(C))  & m2_finseq_1(C, A))  => k7_partfun1(A, k7_finseq_6(A, B, C), k3_finseq_1(k7_finseq_6(A, B, C)))=k7_partfun1(A, C, k3_finseq_1(C))) ) ) ) ) ) ).
fof(t157_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k6_finseq_6(A, k1_xboole_0)=A) ) ).
fof(t158_finseq_6, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => k6_finseq_6(B, k9_finseq_1(A))=B) ) ) ).
fof(t159_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(B, k3_finseq_1(C)))  => k7_partfun1(A, k7_finseq_6(A, C, D), B)=k7_partfun1(A, C, B)) ) ) ) ) ) ) ) ) ).
fof(t160_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  (r1_xxreal_0(1, B) =>  (r1_xxreal_0(k3_finseq_1(D), B) | k7_partfun1(A, k7_finseq_6(A, C, D), k2_xcmplx_0(k3_finseq_1(C), B))=k7_partfun1(A, D, k1_nat_1(B, 1))) ) ) ) ) ) ) ) ) ) ).
fof(d8_finseq_6, axiom,  (! [A] :  (m2_finseq_1(A, k4_numbers) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, C) & r1_xxreal_0(C, k3_finseq_1(A))) )  =>  (! [D] :  (v7_ordinal1(D) =>  (D=k8_finseq_6(A, B, C) <=>  (? [E] :  ( ( ~ (v1_xboole_0(E))  &  (v1_finset_1(E) & m1_subset_1(E, k1_zfmisc_1(k4_numbers))) )  &  (E=k10_xtuple_0(k5_finseq_6(k4_numbers, A, B, C)) & k1_nat_1(D, 1)=k2_xcmplx_0(k4_finseq_4(k5_finseq_6(k4_numbers, A, B, C), k2_xxreal_2(E)), B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t161_finseq_6, axiom,  (! [A] :  (m2_finseq_1(A, k4_numbers) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, C) & r1_xxreal_0(C, k3_finseq_1(A))) )  =>  (D=k8_finseq_6(A, B, C) <=>  (r1_xxreal_0(B, D) &  (r1_xxreal_0(D, C) &  ( (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(B, E) & r1_xxreal_0(E, C))  => r1_xxreal_0(k1_funct_1(A, D), k1_funct_1(A, E))) ) )  &  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(B, E) &  ( ~ (r1_xxreal_0(D, E))  & r1_xxreal_0(k1_funct_1(A, E), k1_funct_1(A, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t162_finseq_6, axiom,  (! [A] :  (m2_finseq_1(A, k4_numbers) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(B, k3_finseq_1(A)))  => k8_finseq_6(A, B, B)=B) ) ) ) ) ).
fof(d9_finseq_6, axiom,  (! [A] :  (m2_finseq_1(A, k4_numbers) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_finseq_6(A, B, C) <=>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(B, D) &  (r1_xxreal_0(D, E) & r1_xxreal_0(E, C)) )  => r1_xxreal_0(k1_funct_1(A, D), k1_funct_1(A, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_finseq_6, axiom,  (! [A] :  (m2_finseq_1(A, k4_numbers) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_finseq_6(A, B) <=>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, B) & r1_xxreal_0(D, k3_finseq_1(A))) )  =>  (r1_xxreal_0(D, B) | r1_xxreal_0(k1_funct_1(A, C), k1_funct_1(A, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t163_finseq_6, axiom,  (! [A] :  (m2_finseq_1(A, k4_numbers) =>  (! [B] :  (m2_finseq_1(B, k4_numbers) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(A)) &  (D=k8_finseq_6(A, k1_nat_1(C, 1), k3_finseq_1(A)) &  (r2_finseq_6(A, C) &  (r1_finseq_6(A, 1, C) & B=k1_funct_7(k1_funct_7(A, k1_nat_1(C, 1), k1_funct_1(A, D)), D, k1_funct_1(A, k1_nat_1(C, 1)))) ) ) )  => r1_finseq_6(B, 1, k1_nat_1(C, 1))) ) ) ) ) ) ) ) ) ).
fof(t164_finseq_6, axiom,  (! [A] :  (m2_finseq_1(A, k4_numbers) =>  (! [B] :  (m2_finseq_1(B, k4_numbers) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(A)) &  (D=k8_finseq_6(A, k1_nat_1(C, 1), k3_finseq_1(A)) &  (r2_finseq_6(A, C) & B=k1_funct_7(k1_funct_7(A, k1_nat_1(C, 1), k1_funct_1(A, D)), D, k1_funct_1(A, k1_nat_1(C, 1)))) ) )  => r2_finseq_6(B, k1_nat_1(C, 1))) ) ) ) ) ) ) ) ) ).
fof(t165_finseq_6, axiom,  (! [A] :  (m2_finseq_1(A, k4_numbers) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(C, B) => r1_finseq_6(A, B, C)) ) ) ) ) ) ) ).
fof(d11_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (v3_funct_1(B) <=>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(C, k4_finseq_1(B)) & r2_tarski(D, k4_finseq_1(B)))  => k7_partfun1(A, B, C)=k7_partfun1(A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t166_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (r2_finseq_4(B, k7_partfun1(A, B, k3_finseq_1(B))) => k4_finseq_4(B, k7_partfun1(A, B, k3_finseq_1(B)))=k3_finseq_1(B)) ) ) ) ) ).
fof(t167_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) => k2_rfinseq(A, k3_finseq_1(B), B)=k1_xboole_0) ) ) ) ).
fof(t168_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, A))  => r2_tarski(k7_partfun1(A, B, k3_finseq_1(B)), k10_xtuple_0(B))) ) ) ) ).
fof(d12_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (r3_finseq_6(A, B, C) <=>  (? [D] :  (r2_tarski(D, k4_finseq_1(B)) &  (C=k7_partfun1(A, B, D) &  (! [E] :  ~ ( (r2_tarski(E, k4_finseq_1(B)) &  ( ~ (E=D)  & k7_partfun1(A, B, E)=C) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t169_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (r3_finseq_6(A, B, k7_partfun1(A, B, k3_finseq_1(B))) => k1_finseq_5(A, B, k7_partfun1(A, B, k3_finseq_1(B)))=B) ) ) ) ) ).
fof(t170_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (r3_finseq_6(A, B, k7_partfun1(A, B, k3_finseq_1(B))) => k2_finseq_5(A, B, k7_partfun1(A, B, k3_finseq_1(B)))=k12_finseq_1(A, k7_partfun1(A, B, k3_finseq_1(B)))) ) ) ) ) ).
fof(t171_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) => r1_xxreal_0(1, k3_finseq_1(k2_finseq_5(A, C, B)))) ) ) ) ) ) ).
fof(t172_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r2_tarski(B, k10_xtuple_0(C)) => r1_xxreal_0(k3_finseq_1(k2_finseq_5(A, C, B)), k3_finseq_1(C))) ) ) ) ) ) ) ).
fof(t173_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_finseq_6(B, A) & m2_finseq_1(B, A)) )  => v1_finseq_6(k4_finseq_5(A, B), A)) ) ) ) ).
fof(t174_finseq_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (m2_finseq_1(D, B) =>  ( (r2_tarski(C, k10_xtuple_0(D)) &  (r1_xxreal_0(1, A) & r1_xxreal_0(A, k3_finseq_1(k2_finseq_5(B, D, C)))) )  => k7_partfun1(B, k1_finseq_6(B, D, C), A)=k7_partfun1(B, D, k1_nat_1(k7_nat_d(A, 1), k4_finseq_4(D, C)))) ) ) ) ) ) ) ) ) ).
fof(t175_finseq_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (m2_finseq_1(D, B) =>  ( (r2_tarski(C, k10_xtuple_0(D)) &  (r1_xxreal_0(k4_finseq_4(D, C), A) & r1_xxreal_0(A, k3_finseq_1(D))) )  => k7_partfun1(B, D, A)=k7_partfun1(B, k1_finseq_6(B, D, C), k7_nat_d(k1_nat_1(A, 1), k4_finseq_4(D, C)))) ) ) ) ) ) ) ) ) ).
fof(t176_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r2_tarski(B, k10_xtuple_0(C)) => k7_partfun1(A, k1_finseq_6(A, C, B), k3_finseq_1(k2_finseq_5(A, C, B)))=k7_partfun1(A, C, k3_finseq_1(C))) ) ) ) ) ) ) ).
fof(t177_finseq_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (m2_finseq_1(D, B) =>  ( (r2_tarski(C, k10_xtuple_0(D)) & r1_xxreal_0(A, k3_finseq_1(D)))  =>  (r1_xxreal_0(A, k3_finseq_1(k2_finseq_5(B, D, C))) | k7_partfun1(B, k1_finseq_6(B, D, C), A)=k7_partfun1(B, D, k7_nat_d(k1_nat_1(A, k4_finseq_4(D, C)), k3_finseq_1(D)))) ) ) ) ) ) ) ) ) ) ).
fof(t178_finseq_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (m2_finseq_1(D, B) =>  ( (r2_tarski(C, k10_xtuple_0(D)) & r1_xxreal_0(A, k4_finseq_4(D, C)))  =>  (r1_xxreal_0(A, 1) | k7_partfun1(B, D, A)=k7_partfun1(B, k1_finseq_6(B, D, C), k7_nat_d(k1_nat_1(A, k3_finseq_1(D)), k4_finseq_4(D, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t179_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) => k3_finseq_1(k1_finseq_6(A, C, B))=k3_finseq_1(C)) ) ) ) ) ) ).
fof(t180_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) => k4_finseq_1(k1_finseq_6(A, C, B))=k4_finseq_1(C)) ) ) ) ) ) ).
fof(t181_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_finseq_6(B, A) & m2_finseq_1(B, A))  =>  (! [C] :  (m1_subset_1(C, A) =>  ( (! [D] :  (v7_ordinal1(D) =>  ~ ( ( ~ (r1_xxreal_0(D, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(B), D))  & k7_partfun1(A, B, D)=k7_partfun1(A, B, 1)) ) ) ) )  => k1_finseq_6(A, k1_finseq_6(A, B, C), k7_partfun1(A, B, 1))=B) ) ) ) ) ) ) ).
fof(t182_finseq_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_finseq_6(D, B) & m2_finseq_1(D, B))  =>  ( (r2_tarski(C, k10_xtuple_0(D)) &  (r1_xxreal_0(k3_finseq_1(k2_finseq_5(B, D, C)), A) & r1_xxreal_0(A, k3_finseq_1(D))) )  => k7_partfun1(B, k1_finseq_6(B, D, C), A)=k7_partfun1(B, D, k7_nat_d(k1_nat_1(A, k4_finseq_4(D, C)), k3_finseq_1(D)))) ) ) ) ) ) ) ) ) ).
fof(t183_finseq_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_finseq_6(D, B) & m2_finseq_1(D, B))  =>  ( (r2_tarski(C, k10_xtuple_0(D)) &  (r1_xxreal_0(1, A) & r1_xxreal_0(A, k4_finseq_4(D, C))) )  => k7_partfun1(B, D, A)=k7_partfun1(B, k1_finseq_6(B, D, C), k7_nat_d(k1_nat_1(A, k3_finseq_1(D)), k4_finseq_4(D, C)))) ) ) ) ) ) ) ) ) ).
fof(dt_k1_finseq_6, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_finseq_1(B, A) & m1_subset_1(C, A)) )  => m2_finseq_1(k1_finseq_6(A, B, C), A)) ) ).
fof(dt_k2_finseq_6, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v7_ordinal1(B) & v7_ordinal1(C)) )  =>  (v1_relat_1(k2_finseq_6(A, B, C)) &  (v1_funct_1(k2_finseq_6(A, B, C)) & v1_finseq_1(k2_finseq_6(A, B, C))) ) ) ) ).
fof(dt_k3_finseq_6, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m1_finseq_1(B, A) &  (v7_ordinal1(C) & v7_ordinal1(D)) ) )  => m2_finseq_1(k3_finseq_6(A, B, C, D), A)) ) ).
fof(redefinition_k3_finseq_6, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m1_finseq_1(B, A) &  (v7_ordinal1(C) & v7_ordinal1(D)) ) )  => k3_finseq_6(A, B, C, D)=k2_finseq_6(B, C, D)) ) ).
fof(dt_k4_finseq_6, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v7_ordinal1(B) & v7_ordinal1(C)) )  =>  (v1_relat_1(k4_finseq_6(A, B, C)) &  (v1_funct_1(k4_finseq_6(A, B, C)) & v1_finseq_1(k4_finseq_6(A, B, C))) ) ) ) ).
fof(dt_k5_finseq_6, axiom,  (! [A, B, C, D] :  ( (m1_finseq_1(B, A) &  (v7_ordinal1(C) & v7_ordinal1(D)) )  => m2_finseq_1(k5_finseq_6(A, B, C, D), A)) ) ).
fof(redefinition_k5_finseq_6, axiom,  (! [A, B, C, D] :  ( (m1_finseq_1(B, A) &  (v7_ordinal1(C) & v7_ordinal1(D)) )  => k5_finseq_6(A, B, C, D)=k4_finseq_6(B, C, D)) ) ).
fof(dt_k6_finseq_6, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  =>  (v1_relat_1(k6_finseq_6(A, B)) &  (v1_funct_1(k6_finseq_6(A, B)) & v1_finseq_1(k6_finseq_6(A, B))) ) ) ) ).
fof(dt_k7_finseq_6, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, A) & m1_finseq_1(C, A))  => m2_finseq_1(k7_finseq_6(A, B, C), A)) ) ).
fof(redefinition_k7_finseq_6, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, A) & m1_finseq_1(C, A))  => k7_finseq_6(A, B, C)=k6_finseq_6(B, C)) ) ).
fof(dt_k8_finseq_6, axiom,  (! [A, B, C] :  ( (m1_finseq_1(A, k4_numbers) &  (v7_ordinal1(B) & v7_ordinal1(C)) )  => v7_ordinal1(k8_finseq_6(A, B, C))) ) ).
fof(redefinition_v4_finseq_6, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(B, A))  =>  (v4_finseq_6(B, A) <=> v3_funct_1(B)) ) ) ).
fof(redefinition_r3_finseq_6, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(B, A))  =>  (r3_finseq_6(A, B, C) <=> r2_finseq_4(B, C)) ) ) ).
fof(t130_finseq_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k1_card_1(a_2_0_finseq_6(A, B))=k1_nat_1(B, 1)) ) ) ) ).
fof(t131_finseq_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, B))  => k1_funct_1(k14_finseq_1(a_2_1_finseq_6(A, B)), C)=k2_xcmplx_0(A, C)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_finseq_6, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) & v7_ordinal1(C))  =>  (r2_hidden(A, a_2_0_finseq_6(B, C)) <=>  (? [D] :  (v7_ordinal1(D) &  (A=D &  (r1_xxreal_0(B, D) & r1_xxreal_0(D, k2_xcmplx_0(B, C))) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_finseq_6, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) & v7_ordinal1(C))  =>  (r2_hidden(A, a_2_1_finseq_6(B, C)) <=>  (? [D] :  (v7_ordinal1(D) &  (A=D &  (r1_xxreal_0(k1_nat_1(B, 1), D) & r1_xxreal_0(D, k2_xcmplx_0(B, C))) ) ) ) ) ) ) ).
fof(fc1_finseq_7, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v7_ordinal1(B) & v7_ordinal1(C)) )  => v1_finseq_1(k9_funct_7(A, B, C))) ) ).
fof(t1_finseq_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(D, k3_finseq_1(B)))  =>  (r1_xxreal_0(D, C) | B=k7_finseq_1(k7_finseq_1(k7_finseq_1(k7_finseq_1(k17_finseq_1(A, k7_nat_d(C, 1), B), k9_finseq_1(k1_funct_1(B, C))), k17_finseq_1(A, k7_nat_d(k7_nat_d(D, C), 1), k2_rfinseq(A, C, B))), k9_finseq_1(k1_funct_1(B, D))), k2_rfinseq(A, D, B))) ) ) ) ) ) ) ) ) ) ).
fof(t2_finseq_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  ( (k3_finseq_1(C)=k3_finseq_1(D) & r1_xxreal_0(A, k3_finseq_1(k7_finseq_1(C, B))))  =>  (r1_xxreal_0(A, k3_finseq_1(C)) | k1_funct_1(k7_finseq_1(C, B), A)=k1_funct_1(k7_finseq_1(D, B), A)) ) ) ) ) ) ) ) ) ) ).
fof(t3_finseq_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, k3_finseq_1(B)))  => k1_funct_1(B, A)=k1_funct_1(k7_finseq_1(C, B), k2_xcmplx_0(k3_finseq_1(C), A))) ) ) ) ) ) ) ).
fof(t4_finseq_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(C, k4_finseq_1(k2_rfinseq(A, D, B))) => k1_funct_1(k2_rfinseq(A, D, B), C)=k1_funct_1(B, k2_xcmplx_0(D, C))) ) ) ) ) ) ) ) ) ).
fof(d1_finseq_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, A) =>  ( ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, k3_finseq_1(B)))  => k1_finseq_7(A, B, C, D)=k8_finseq_1(A, k8_finseq_1(A, k17_finseq_1(A, k7_nat_d(C, 1), B), k12_finseq_1(A, D)), k2_rfinseq(A, C, B)))  &  ( ~ ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, k3_finseq_1(B))) )  => k1_finseq_7(A, B, C, D)=B) ) ) ) ) ) ) ) ) ) ).
fof(t5_finseq_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (v7_ordinal1(D) => k3_finseq_1(k1_finseq_7(A, B, D, C))=k3_finseq_1(B)) ) ) ) ) ) ) ) ).
fof(t6_finseq_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] : r1_tarski(k10_xtuple_0(k1_funct_7(A, B, C)), k2_xboole_0(k10_xtuple_0(A), k1_tarski(C)))) ) ) ) ) ).
fof(t7_finseq_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, k3_finseq_1(B)))  => r2_tarski(C, k10_xtuple_0(k1_finseq_7(A, B, D, C)))) ) ) ) ) ) ) ) ) ).
fof(t8_finseq_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, k3_finseq_1(B)))  => k7_partfun1(A, k1_finseq_7(A, B, D, C), D)=C) ) ) ) ) ) ) ) ) ).
fof(t9_finseq_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, k3_finseq_1(B)))  =>  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(E, k6_xcmplx_0(k3_finseq_1(B), D)) =>  (r1_xxreal_0(E, k5_numbers) | k1_funct_1(k1_finseq_7(A, B, D, C), k2_xcmplx_0(D, E))=k1_funct_1(k2_rfinseq(A, D, B), E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_finseq_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, k3_finseq_1(B)))  =>  (E=D | k7_partfun1(A, k1_finseq_7(A, B, D, C), E)=k7_partfun1(A, B, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_finseq_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(F, k3_finseq_1(B)))  =>  (r1_xxreal_0(F, E) | k1_finseq_7(A, k1_finseq_7(A, B, F, D), E, C)=k8_finseq_1(A, k8_finseq_1(A, k8_finseq_1(A, k8_finseq_1(A, k17_finseq_1(A, k7_nat_d(E, 1), B), k12_finseq_1(A, C)), k17_finseq_1(A, k7_nat_d(k7_nat_d(F, E), 1), k2_rfinseq(A, E, B))), k12_finseq_1(A, D)), k2_rfinseq(A, F, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_finseq_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) => k1_finseq_7(A, k12_finseq_1(A, B), 1, C)=k12_finseq_1(A, C)) ) ) ) ) ) ).
fof(t13_finseq_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) => k1_finseq_7(A, k2_finseq_4(A, B, C), 1, D)=k2_finseq_4(A, D, C)) ) ) ) ) ) ) ) ).
fof(t14_finseq_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) => k1_finseq_7(A, k2_finseq_4(A, B, C), 2, D)=k2_finseq_4(A, B, D)) ) ) ) ) ) ) ) ).
fof(t15_finseq_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) => k1_finseq_7(A, k3_finseq_4(A, B, C, D), 1, E)=k3_finseq_4(A, E, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t16_finseq_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) => k1_finseq_7(A, k3_finseq_4(A, B, C, D), 2, E)=k3_finseq_4(A, B, E, D)) ) ) ) ) ) ) ) ) ) ).
fof(t17_finseq_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) => k1_finseq_7(A, k3_finseq_4(A, B, C, D), 3, E)=k3_finseq_4(A, B, C, E)) ) ) ) ) ) ) ) ) ) ).
fof(d2_finseq_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(B)) &  (r1_xxreal_0(1, D) & r1_xxreal_0(D, k3_finseq_1(B))) ) )  => k2_finseq_7(A, B, C, D)=k1_finseq_7(A, k1_finseq_7(A, B, C, k7_partfun1(A, B, D)), D, k7_partfun1(A, B, C)))  &  ( ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(B)) &  (r1_xxreal_0(1, D) & r1_xxreal_0(D, k3_finseq_1(B))) ) ) )  => k2_finseq_7(A, B, C, D)=B) ) ) ) ) ) ) ) ) ) ).
fof(t18_finseq_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k3_finseq_1(k2_finseq_7(A, B, C, D))=k3_finseq_1(B)) ) ) ) ) ) ) ) ).
fof(t19_finseq_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) => k2_finseq_7(A, B, C, C)=B) ) ) ) ) ) ).
fof(t20_finseq_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k2_finseq_7(A, k2_finseq_7(A, B, C, D), D, C)=B) ) ) ) ) ) ) ) ).
fof(t21_finseq_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k2_finseq_7(A, B, C, D)=k2_finseq_7(A, B, D, C)) ) ) ) ) ) ) ) ).
fof(t22_finseq_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k10_xtuple_0(k2_finseq_7(A, B, C, D))=k10_xtuple_0(B)) ) ) ) ) ) ) ) ).
fof(t23_finseq_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) => k2_finseq_7(A, k2_finseq_4(A, B, C), 1, 2)=k2_finseq_4(A, C, B)) ) ) ) ) ) ).
fof(t24_finseq_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) => k2_finseq_7(A, k3_finseq_4(A, B, C, D), 1, 2)=k3_finseq_4(A, C, B, D)) ) ) ) ) ) ) ) ).
fof(t25_finseq_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) => k2_finseq_7(A, k3_finseq_4(A, B, C, D), 1, 3)=k3_finseq_4(A, D, C, B)) ) ) ) ) ) ) ) ).
fof(t26_finseq_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) => k2_finseq_7(A, k3_finseq_4(A, B, C, D), 2, 3)=k3_finseq_4(A, B, D, C)) ) ) ) ) ) ) ) ).
fof(t27_finseq_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(D, k3_finseq_1(B)))  =>  (r1_xxreal_0(D, C) | k2_finseq_7(A, B, C, D)=k8_finseq_1(A, k8_finseq_1(A, k8_finseq_1(A, k8_finseq_1(A, k17_finseq_1(A, k7_nat_d(C, 1), B), k12_finseq_1(A, k7_partfun1(A, B, D))), k17_finseq_1(A, k7_nat_d(k7_nat_d(D, C), 1), k2_rfinseq(A, C, B))), k12_finseq_1(A, k7_partfun1(A, B, C))), k2_rfinseq(A, D, B))) ) ) ) ) ) ) ) ) ) ).
fof(t28_finseq_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(C, k3_finseq_1(B)) =>  (r1_xxreal_0(C, 1) | k2_finseq_7(A, B, 1, C)=k8_finseq_1(A, k8_finseq_1(A, k8_finseq_1(A, k12_finseq_1(A, k7_partfun1(A, B, C)), k17_finseq_1(A, k7_nat_d(C, 2), k2_rfinseq(A, 1, B))), k12_finseq_1(A, k7_partfun1(A, B, 1))), k2_rfinseq(A, C, B))) ) ) ) ) ) ) ) ).
fof(t29_finseq_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(1, C) =>  (r1_xxreal_0(k3_finseq_1(B), C) | k2_finseq_7(A, B, C, k3_finseq_1(B))=k8_finseq_1(A, k8_finseq_1(A, k8_finseq_1(A, k17_finseq_1(A, k7_nat_d(C, 1), B), k12_finseq_1(A, k7_partfun1(A, B, k3_finseq_1(B)))), k17_finseq_1(A, k7_nat_d(k7_nat_d(k3_finseq_1(B), C), 1), k2_rfinseq(A, C, B))), k12_finseq_1(A, k7_partfun1(A, B, C)))) ) ) ) ) ) ) ) ).
fof(t30_finseq_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, k3_finseq_1(B)))  =>  (C=E |  (D=E | k7_partfun1(A, k2_finseq_7(A, B, C, D), E)=k7_partfun1(A, B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_finseq_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(B)) &  (r1_xxreal_0(1, D) & r1_xxreal_0(D, k3_finseq_1(B))) ) )  =>  (k7_partfun1(A, k2_finseq_7(A, B, C, D), C)=k7_partfun1(A, B, D) & k7_partfun1(A, k2_finseq_7(A, B, C, D), D)=k7_partfun1(A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t32_finseq_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k3_finseq_1(B)) &  (r1_xxreal_0(1, E) & r1_xxreal_0(E, k3_finseq_1(B))) ) )  => k1_finseq_7(A, k2_finseq_7(A, B, D, E), D, C)=k2_finseq_7(A, k1_finseq_7(A, B, E, C), D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_finseq_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k3_finseq_1(B)) &  (r1_xxreal_0(1, E) & r1_xxreal_0(E, k3_finseq_1(B))) ) )  =>  (D=F |  (E=F | k2_finseq_7(A, k1_finseq_7(A, B, F, C), D, E)=k1_finseq_7(A, k2_finseq_7(A, B, D, E), F, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_finseq_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(B)) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k3_finseq_1(B)) &  (r1_xxreal_0(1, E) & r1_xxreal_0(E, k3_finseq_1(B))) ) ) ) )  =>  (C=E |  (D=E | k2_finseq_7(A, k2_finseq_7(A, B, C, D), D, E)=k2_finseq_7(A, k2_finseq_7(A, B, C, E), C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_finseq_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(B)) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k3_finseq_1(B)) &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, k3_finseq_1(B)) &  (r1_xxreal_0(1, F) & r1_xxreal_0(F, k3_finseq_1(B))) ) ) ) ) ) )  =>  (C=E |  (D=E |  (F=C |  (F=D | k2_finseq_7(A, k2_finseq_7(A, B, C, D), E, F)=k2_finseq_7(A, k2_finseq_7(A, B, E, F), C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_finseq_7, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m1_finseq_1(B, A) &  (v7_ordinal1(C) & m1_subset_1(D, A)) ) )  => m2_finseq_1(k1_finseq_7(A, B, C, D), A)) ) ).
fof(redefinition_k1_finseq_7, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m1_finseq_1(B, A) &  (v7_ordinal1(C) & m1_subset_1(D, A)) ) )  => k1_finseq_7(A, B, C, D)=k1_funct_7(B, C, D)) ) ).
fof(dt_k2_finseq_7, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m1_finseq_1(B, A) &  (v7_ordinal1(C) & v7_ordinal1(D)) ) )  => m2_finseq_1(k2_finseq_7(A, B, C, D), A)) ) ).
fof(redefinition_k2_finseq_7, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m1_finseq_1(B, A) &  (v7_ordinal1(C) & v7_ordinal1(D)) ) )  => k2_finseq_7(A, B, C, D)=k9_funct_7(B, C, D)) ) ).
fof(t1_finseq_8, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r1_xxreal_0(1, k3_finseq_1(A)) => k2_finseq_6(k7_finseq_1(A, B), 1, k3_finseq_1(A))=A) ) ) ) ) ).
fof(t2_finseq_8, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(k3_finseq_1(A), B) => k1_rfinseq(B, A)=k1_xboole_0) ) ) ) ) ).
fof(t3_finseq_8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k3_finseq_6(A, k6_finseq_1(A), B, C)=k6_finseq_1(A)) ) ) ) ) ) ).
fof(d1_finseq_8, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k1_finseq_8(A, B, C)=k16_finseq_1(k7_nat_d(k1_nat_1(C, 1), B), k1_rfinseq(k7_nat_d(B, 1), A))) ) ) ) ) ) ).
fof(t4_finseq_8, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, C) => k1_finseq_8(A, B, C)=k2_finseq_6(A, B, C)) ) ) ) ) ) ) ).
fof(t5_finseq_8, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) => k1_finseq_8(A, 1, B)=k16_finseq_1(B, A)) ) ) ) ).
fof(t6_finseq_8, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(k3_finseq_1(A), B) => k1_finseq_8(A, 1, B)=A) ) ) ) ) ).
fof(t7_finseq_8, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (r1_xxreal_0(B, C))  => k1_finseq_8(A, B, C)=k1_xboole_0) ) ) ) ) ) ) ).
fof(t8_finseq_8, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) => k1_finseq_8(A, k5_numbers, B)=k1_finseq_8(A, 1, k1_nat_1(B, 1))) ) ) ) ).
fof(t9_finseq_8, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => k1_finseq_8(k7_finseq_1(A, B), k1_nat_1(k3_finseq_1(A), 1), k1_nat_1(k3_finseq_1(A), k3_finseq_1(B)))=B) ) ) ) ).
fof(d2_finseq_8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  (D=k3_finseq_8(A, B, C) <=>  (r1_xxreal_0(k3_finseq_1(D), k3_finseq_1(C)) &  (D=k2_finseq_8(A, C, 1, k3_finseq_1(D)) &  (D=k2_finseq_8(A, B, k1_nat_1(k7_nat_d(k3_finseq_1(B), k3_finseq_1(D)), 1), k3_finseq_1(B)) &  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(E, k3_finseq_1(C)) & k2_finseq_8(A, C, 1, E)=k2_finseq_8(A, B, k1_nat_1(k7_nat_d(k3_finseq_1(B), E), 1), k3_finseq_1(B)))  => r1_xxreal_0(E, k3_finseq_1(D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_finseq_8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) => r1_xxreal_0(k3_finseq_1(k3_finseq_8(A, B, C)), k3_finseq_1(B))) ) ) ) ) ) ).
fof(d3_finseq_8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) => k4_finseq_8(A, B, C)=k8_finseq_1(A, B, k2_rfinseq(A, k3_finseq_1(k3_finseq_8(A, B, C)), C))) ) ) ) ) ) ).
fof(t11_finseq_8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) => k4_finseq_8(A, B, C)=k8_finseq_1(A, k17_finseq_1(A, k7_nat_d(k3_finseq_1(B), k3_finseq_1(k3_finseq_8(A, B, C))), B), C)) ) ) ) ) ) ).
fof(d4_finseq_8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) => k5_finseq_8(A, B, C)=k17_finseq_1(A, k7_nat_d(k3_finseq_1(B), k3_finseq_1(k3_finseq_8(A, B, C))), B)) ) ) ) ) ) ).
fof(d5_finseq_8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) => k6_finseq_8(A, B, C)=k2_rfinseq(A, k3_finseq_1(k3_finseq_8(A, B, C)), C)) ) ) ) ) ) ).
fof(t12_finseq_8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (k4_finseq_8(A, B, C)=k8_finseq_1(A, k8_finseq_1(A, k5_finseq_8(A, B, C), k3_finseq_8(A, B, C)), k6_finseq_8(A, B, C)) & k4_finseq_8(A, B, C)=k8_finseq_1(A, k5_finseq_8(A, B, C), k8_finseq_1(A, k3_finseq_8(A, B, C), k6_finseq_8(A, B, C)))) ) ) ) ) ) ) ).
fof(t13_finseq_8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (k4_finseq_8(A, B, B)=B &  (k3_finseq_8(A, B, B)=B &  (k5_finseq_8(A, B, B)=k1_xboole_0 & k6_finseq_8(A, B, B)=k1_xboole_0) ) ) ) ) ) ) ).
fof(t14_finseq_8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (k3_finseq_8(A, k8_finseq_1(A, B, C), C)=C & k3_finseq_8(A, B, k8_finseq_1(A, B, C))=B) ) ) ) ) ) ) ).
fof(t15_finseq_8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (k3_finseq_1(k4_finseq_8(A, B, C))=k6_xcmplx_0(k1_nat_1(k3_finseq_1(B), k3_finseq_1(C)), k3_finseq_1(k3_finseq_8(A, B, C))) &  (k3_finseq_1(k4_finseq_8(A, B, C))=k7_nat_d(k1_nat_1(k3_finseq_1(B), k3_finseq_1(C)), k3_finseq_1(k3_finseq_8(A, B, C))) & k3_finseq_1(k4_finseq_8(A, B, C))=k1_nat_1(k3_finseq_1(B), k7_nat_d(k3_finseq_1(C), k3_finseq_1(k3_finseq_8(A, B, C))))) ) ) ) ) ) ) ) ).
fof(t16_finseq_8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r1_xxreal_0(k3_finseq_1(k3_finseq_8(A, B, C)), k3_finseq_1(B)) & r1_xxreal_0(k3_finseq_1(k3_finseq_8(A, B, C)), k3_finseq_1(C))) ) ) ) ) ) ) ).
fof(d6_finseq_8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (r1_finseq_8(A, B) <=>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(k7_nat_d(k1_nat_1(E, k3_finseq_1(B)), 1), k3_finseq_1(C)) &  (k2_finseq_8(A, C, D, k7_nat_d(k1_nat_1(D, k3_finseq_1(B)), 1))=k2_finseq_8(A, C, E, k7_nat_d(k1_nat_1(E, k3_finseq_1(B)), 1)) & k2_finseq_8(A, C, D, k7_nat_d(k1_nat_1(D, k3_finseq_1(B)), 1))=B) ) )  =>  (r1_xxreal_0(E, D) | r1_xxreal_0(k3_finseq_1(B), k7_nat_d(E, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_finseq_8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (r1_finseq_8(A, B) <=> k3_finseq_1(k3_finseq_8(A, k2_rfinseq(A, 1, B), B))=k5_numbers) ) ) ) ) ).
fof(d7_finseq_8, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (r2_finseq_8(A, B, C) <=>  ~ ( ( ~ (r1_xxreal_0(k3_finseq_1(B), k5_numbers))  &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(C, D) &  (r1_xxreal_0(D, k3_finseq_1(A)) & k2_finseq_6(A, D, k1_nat_1(k7_nat_d(D, 1), k3_finseq_1(B)))=B) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_finseq_8, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(C, D) & r2_finseq_8(A, B, D))  => r2_finseq_8(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t19_finseq_8, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (r1_xxreal_0(1, k3_finseq_1(A)) => r2_finseq_8(A, A, 1)) ) ) ).
fof(t20_finseq_8, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r2_finseq_8(A, B, k5_numbers) => r2_finseq_8(A, B, 1)) ) ) ) ) ).
fof(d8_finseq_8, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r1_tarski(A, B) <=>  ( ~ (r1_xxreal_0(k3_finseq_1(A), k5_numbers))  =>  (r1_xxreal_0(1, k3_finseq_1(B)) & k2_finseq_6(B, 1, k3_finseq_1(A))=A) ) ) ) ) ) ) ).
fof(t21_finseq_8, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r1_tarski(B, A) =>  (r1_xxreal_0(k3_finseq_1(B), k5_numbers) | k1_funct_1(B, 1)=k1_funct_1(A, 1)) ) ) ) ) ) ).
fof(d9_finseq_8, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r3_finseq_8(A, B) <=> r1_tarski(k3_finseq_5(B), k3_finseq_5(A))) ) ) ) ) ).
fof(t22_finseq_8, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (k3_finseq_1(B)=k5_numbers => r3_finseq_8(A, B)) ) ) ) ) ).
fof(t23_finseq_8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r3_finseq_8(B, C) => r1_xxreal_0(k3_finseq_1(C), k3_finseq_1(B))) ) ) ) ) ) ) ).
fof(t24_finseq_8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r3_finseq_8(B, C) =>  (r1_xxreal_0(k3_finseq_1(C), k5_numbers) |  (r1_xxreal_0(k3_finseq_1(C), k3_finseq_1(B)) & k3_finseq_6(A, B, k7_nat_d(k1_nat_1(k3_finseq_1(B), 1), k3_finseq_1(C)), k3_finseq_1(B))=C) ) ) ) ) ) ) ) ) ).
fof(t25_finseq_8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  ( ( ~ (r1_xxreal_0(k3_finseq_1(C), k5_numbers))  =>  (r1_xxreal_0(k3_finseq_1(C), k3_finseq_1(B)) & k3_finseq_6(A, B, k7_nat_d(k1_nat_1(k3_finseq_1(B), 1), k3_finseq_1(C)), k3_finseq_1(B))=C) )  => r3_finseq_8(B, C)) ) ) ) ) ) ) ).
fof(t26_finseq_8, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( (r1_xxreal_0(1, k3_finseq_1(A)) & r1_tarski(B, A))  => r2_finseq_8(A, B, 1)) ) ) ) ) ).
fof(t27_finseq_8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (v7_ordinal1(D) =>  ( ~ (r2_finseq_8(B, C, D))  =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ~ ( (r1_xxreal_0(D, E) &  ( ~ (r1_xxreal_0(E, k5_numbers))  & k3_finseq_6(A, B, E, k1_nat_1(k7_nat_d(E, 1), k3_finseq_1(C)))=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_finseq_8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (E=k7_finseq_8(A, B, C, D) <=>  ( ( ~ (E=k5_numbers)  =>  (r1_xxreal_0(D, E) &  (r1_tarski(C, k2_rfinseq(A, k7_nat_d(E, 1), B)) &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  ( (r1_xxreal_0(D, F) & r1_tarski(C, k2_rfinseq(A, k7_nat_d(F, 1), B)))  =>  (r1_xxreal_0(F, k5_numbers) | r1_xxreal_0(E, F)) ) ) ) ) ) )  &  ~ ( (E=k5_numbers & r2_finseq_8(B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_finseq_8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) => k8_finseq_8(A, B, C)=k4_finseq_8(A, B, C)) ) ) ) ) ) ).
fof(d12_finseq_8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r4_finseq_8(A, B, C) <=>  ( ~ (r1_xxreal_0(k3_finseq_1(C), k5_numbers))  =>  (r1_xxreal_0(k3_finseq_1(C), k3_finseq_1(B)) & k7_finseq_8(A, B, C, 1)=k7_nat_d(k1_nat_1(k3_finseq_1(B), 1), k3_finseq_1(C))) ) ) ) ) ) ) ) ) ).
fof(t28_finseq_8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) => r4_finseq_8(A, B, B)) ) ) ) ).
fof(t29_finseq_8, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r2_tarski(B, k4_finseq_1(A)) & r2_tarski(C, k4_finseq_1(A)))  => k1_finseq_8(A, B, C)=k4_finseq_6(A, B, C)) ) ) ) ) ) ) ).
fof(dt_k1_finseq_8, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v7_ordinal1(B) & v7_ordinal1(C)) )  =>  (v1_relat_1(k1_finseq_8(A, B, C)) &  (v1_funct_1(k1_finseq_8(A, B, C)) & v1_finseq_1(k1_finseq_8(A, B, C))) ) ) ) ).
fof(dt_k2_finseq_8, axiom,  (! [A, B, C, D] :  ( (m1_finseq_1(B, A) &  (v7_ordinal1(C) & v7_ordinal1(D)) )  => m2_finseq_1(k2_finseq_8(A, B, C, D), A)) ) ).
fof(redefinition_k2_finseq_8, axiom,  (! [A, B, C, D] :  ( (m1_finseq_1(B, A) &  (v7_ordinal1(C) & v7_ordinal1(D)) )  => k2_finseq_8(A, B, C, D)=k1_finseq_8(B, C, D)) ) ).
fof(dt_k3_finseq_8, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_finseq_1(B, A) & m1_finseq_1(C, A)) )  => m2_finseq_1(k3_finseq_8(A, B, C), A)) ) ).
fof(dt_k4_finseq_8, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_finseq_1(B, A) & m1_finseq_1(C, A)) )  => m2_finseq_1(k4_finseq_8(A, B, C), A)) ) ).
fof(dt_k5_finseq_8, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_finseq_1(B, A) & m1_finseq_1(C, A)) )  => m2_finseq_1(k5_finseq_8(A, B, C), A)) ) ).
fof(dt_k6_finseq_8, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_finseq_1(B, A) & m1_finseq_1(C, A)) )  => m2_finseq_1(k6_finseq_8(A, B, C), A)) ) ).
fof(dt_k7_finseq_8, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m1_finseq_1(B, A) &  (m1_finseq_1(C, A) & v7_ordinal1(D)) ) )  => m1_subset_1(k7_finseq_8(A, B, C, D), k4_ordinal1)) ) ).
fof(dt_k8_finseq_8, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_finseq_1(B, A) & m1_finseq_1(C, A)) )  => m2_finseq_1(k8_finseq_8(A, B, C), A)) ) ).
fof(t1_finseqop, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (k13_funct_3(k1_xboole_0, A)=k1_xboole_0 & k13_funct_3(A, k1_xboole_0)=k1_xboole_0) ) ) ).
fof(t2_finseqop, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (k15_funct_3(k1_xboole_0, A)=k1_xboole_0 & k15_funct_3(A, k1_xboole_0)=k1_xboole_0) ) ) ).
fof(t3_finseqop, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (k3_funcop_1(A, k1_xboole_0, B)=k1_xboole_0 & k3_funcop_1(A, B, k1_xboole_0)=k1_xboole_0) ) ) ) ) ).
fof(t4_finseqop, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => k4_funcop_1(B, k1_xboole_0, A)=k1_xboole_0) ) ) ).
fof(t5_finseqop, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => k5_funcop_1(B, A, k1_xboole_0)=k1_xboole_0) ) ) ).
fof(t6_finseqop, axiom,  (! [A] :  (! [B] :  (! [C] : r1_funct_2(A, k2_zfmisc_1(k1_tarski(B), k1_tarski(C)), A, k1_tarski(k4_tarski(B, C)), k14_funct_3(A, k1_tarski(B), k1_tarski(C), k7_funcop_1(A, B), k7_funcop_1(A, C)), k7_funcop_1(A, k4_tarski(B, C)))) ) ) ).
fof(t7_finseqop, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (! [D] :  (r2_hidden(k4_tarski(C, D), k9_xtuple_0(A)) => k3_funcop_1(A, k7_funcop_1(B, C), k7_funcop_1(B, D))=k7_funcop_1(B, k1_binop_1(A, C, D))) ) ) ) ) ) ).
fof(t8_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  => r2_relset_1(k4_ordinal1, B, k4_finseqop(A, B, k8_finseq_1(A, D, k12_finseq_1(A, C)), E), k8_finseq_1(B, k4_finseqop(A, B, D, E), k12_finseq_1(B, k3_funct_2(A, B, E, C))))) ) ) ) ) ) ) ) ) ) ).
fof(t9_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  => r2_relset_1(k4_ordinal1, B, k4_finseqop(A, B, k8_finseq_1(A, C, D), E), k8_finseq_1(B, k4_finseqop(A, B, C, E), k4_finseqop(A, B, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t10_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, B) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(A, B), C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [H] :  ( (v3_card_1(H, F) & m2_finseq_1(H, A))  =>  (! [I] :  ( (v3_card_1(I, F) & m2_finseq_1(I, B))  => r2_relset_1(k4_ordinal1, C, k1_finseqop(A, B, C, G, k8_finseq_1(A, H, k12_finseq_1(A, D)), k8_finseq_1(B, I, k12_finseq_1(B, E))), k8_finseq_1(C, k1_finseqop(A, B, C, G, H, I), k12_finseq_1(C, k2_binop_1(A, B, C, G, D, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(A, B), C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [G] :  ( (v3_card_1(G, D) & m2_finseq_1(G, A))  =>  (! [H] :  ( (v3_card_1(H, D) & m2_finseq_1(H, B))  =>  (! [I] :  ( (v3_card_1(I, E) & m2_finseq_1(I, A))  =>  (! [J] :  ( (v3_card_1(J, E) & m2_finseq_1(J, B))  => r2_relset_1(k4_ordinal1, C, k1_finseqop(A, B, C, F, k8_finseq_1(A, G, I), k8_finseq_1(B, H, J)), k8_finseq_1(C, k1_finseqop(A, B, C, F, G, H), k1_finseqop(A, B, C, F, I, J)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, B) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(A, B), C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [G] :  (m2_finseq_1(G, B) => r2_relset_1(k4_ordinal1, C, k3_finseqop(A, B, C, F, D, k8_finseq_1(B, G, k12_finseq_1(B, E))), k8_finseq_1(C, k3_finseqop(A, B, C, F, D, G), k12_finseq_1(C, k2_binop_1(A, B, C, F, D, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, B), C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [F] :  (m2_finseq_1(F, B) =>  (! [G] :  (m2_finseq_1(G, B) => r2_relset_1(k4_ordinal1, C, k3_finseqop(A, B, C, E, D, k8_finseq_1(B, F, G)), k8_finseq_1(C, k3_finseqop(A, B, C, E, D, F), k3_finseqop(A, B, C, E, D, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, B) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(A, B), C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [G] :  (m2_finseq_1(G, A) => r2_relset_1(k4_ordinal1, C, k2_finseqop(A, B, C, F, k8_finseq_1(A, G, k12_finseq_1(A, D)), E), k8_finseq_1(C, k2_finseqop(A, B, C, F, G, E), k12_finseq_1(C, k2_binop_1(A, B, C, F, D, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, B), C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [F] :  (m2_finseq_1(F, A) =>  (! [G] :  (m2_finseq_1(G, A) => r2_relset_1(k4_ordinal1, C, k2_finseqop(A, B, C, E, k8_finseq_1(A, F, G), D), k8_finseq_1(C, k2_finseqop(A, B, C, E, F, D), k2_finseqop(A, B, C, E, G, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  => r2_relset_1(k4_ordinal1, B, k4_finseqop(A, B, k5_finseq_2(A, D, C), E), k5_finseq_2(B, D, k3_funct_2(A, B, E, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t17_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, B) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(A, B), C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  => r2_relset_1(k4_ordinal1, C, k1_finseqop(A, B, C, G, k5_finseq_2(A, F, D), k5_finseq_2(B, F, E)), k5_finseq_2(C, F, k2_binop_1(A, B, C, G, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, B) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(A, B), C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  => r2_relset_1(k4_ordinal1, C, k3_finseqop(A, B, C, G, D, k5_finseq_2(B, F, E)), k5_finseq_2(C, F, k2_binop_1(A, B, C, G, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, B) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(A, B), C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  => r2_relset_1(k4_ordinal1, C, k2_finseqop(A, B, C, G, k5_finseq_2(A, F, D), E), k5_finseq_2(C, F, k2_binop_1(A, B, C, G, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(A, B), C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [G] :  ( (v3_card_1(G, E) & m2_finseq_1(G, B))  => r2_relset_1(k4_ordinal1, C, k1_finseqop(A, B, C, F, k5_finseq_2(A, E, D), G), k3_finseqop(A, B, C, F, D, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(A, B), C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [G] :  ( (v3_card_1(G, E) & m2_finseq_1(G, A))  => k3_funcop_1(F, G, k5_finseq_2(A, E, D))=k4_funcop_1(F, G, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(A, B), C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [G] :  ( (v3_card_1(G, E) & m2_finseq_1(G, B))  => k3_finseqop(A, B, C, F, D, G)=k3_relat_1(G, k5_funcop_1(F, D, k6_partfun1(B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(A, B), C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [G] :  ( (v3_card_1(G, E) & m2_finseq_1(G, A))  => k4_funcop_1(F, G, D)=k3_relat_1(G, k4_funcop_1(F, k6_partfun1(A), D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(B, B), B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (v2_binop_1(F, B) => r2_funct_2(A, B, k1_partfun1(A, B, B, B, k6_funcop_1(B, A, F, D, E), k10_funcop_1(B, B, F, C, k6_partfun1(B))), k6_funcop_1(B, A, F, k1_partfun1(A, B, B, B, D, k10_funcop_1(B, B, F, C, k6_partfun1(B))), E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(B, B), B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (v2_binop_1(F, B) => r2_funct_2(A, B, k1_partfun1(A, B, B, B, k6_funcop_1(B, A, F, D, E), k9_funcop_1(B, B, F, k6_partfun1(B), C)), k6_funcop_1(B, A, F, D, k1_partfun1(A, B, B, B, E, k9_funcop_1(B, B, F, k6_partfun1(B), C))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v3_card_1(D, C) & m2_finseq_1(D, A))  =>  (! [E] :  ( (v3_card_1(E, C) & m2_finseq_1(E, A))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(A, A), A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v2_binop_1(F, A) => r2_relset_1(k4_ordinal1, A, k4_finseqop(A, A, k1_finseqop(A, A, A, F, D, E), k10_funcop_1(A, A, F, B, k6_partfun1(A))), k1_finseqop(A, A, A, F, k4_finseqop(A, A, D, k10_funcop_1(A, A, F, B, k6_partfun1(A))), E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v3_card_1(D, C) & m2_finseq_1(D, A))  =>  (! [E] :  ( (v3_card_1(E, C) & m2_finseq_1(E, A))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(A, A), A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v2_binop_1(F, A) => r2_relset_1(k4_ordinal1, A, k4_finseqop(A, A, k1_finseqop(A, A, A, F, D, E), k9_funcop_1(A, A, F, k6_partfun1(A), B)), k1_finseqop(A, A, A, F, D, k4_finseqop(A, A, E, k9_funcop_1(A, A, F, k6_partfun1(A), B))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_card_1(C, B) & m2_finseq_1(C, A))  =>  (! [D] :  ( (v3_card_1(D, B) & m2_finseq_1(D, A))  =>  (! [E] :  ( (v3_card_1(E, B) & m2_finseq_1(E, A))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(A, A), A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v2_binop_1(F, A) => r2_relset_1(k4_ordinal1, A, k1_finseqop(A, A, A, F, k1_finseqop(A, A, A, F, C, D), E), k1_finseqop(A, A, A, F, C, k1_finseqop(A, A, A, F, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v3_card_1(E, D) & m2_finseq_1(E, A))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(A, A), A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v2_binop_1(F, A) => r2_relset_1(k4_ordinal1, A, k2_finseqop(A, A, A, F, k3_finseqop(A, A, A, F, B, E), C), k3_finseqop(A, A, A, F, B, k2_finseqop(A, A, A, F, E, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v3_card_1(D, C) & m2_finseq_1(D, A))  =>  (! [E] :  ( (v3_card_1(E, C) & m2_finseq_1(E, A))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(A, A), A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v2_binop_1(F, A) => r2_relset_1(k4_ordinal1, A, k1_finseqop(A, A, A, F, k2_finseqop(A, A, A, F, D, B), E), k1_finseqop(A, A, A, F, D, k3_finseqop(A, A, A, F, B, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v3_card_1(E, D) & m2_finseq_1(E, A))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(A, A), A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v2_binop_1(F, A) => r2_relset_1(k4_ordinal1, A, k3_finseqop(A, A, A, F, k4_binop_1(A, F, B, C), E), k3_finseqop(A, A, A, F, B, k3_finseqop(A, A, A, F, C, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v3_card_1(E, D) & m2_finseq_1(E, A))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(A, A), A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v2_binop_1(F, A) => r2_relset_1(k4_ordinal1, A, k2_finseqop(A, A, A, F, E, k4_binop_1(A, F, B, C)), k2_finseqop(A, A, A, F, k2_finseqop(A, A, A, F, E, B), C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_card_1(C, B) & m2_finseq_1(C, A))  =>  (! [D] :  ( (v3_card_1(D, B) & m2_finseq_1(D, A))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, A), A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v1_binop_1(E, A) => r2_relset_1(k4_ordinal1, A, k1_finseqop(A, A, A, E, C, D), k1_finseqop(A, A, A, E, D, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v3_card_1(D, C) & m2_finseq_1(D, A))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, A), A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v1_binop_1(E, A) => r2_relset_1(k4_ordinal1, A, k3_finseqop(A, A, A, E, B, D), k2_finseqop(A, A, A, E, D, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(B, B), B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(B, B), B) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (r6_binop_1(B, F, G) => r2_funct_2(A, B, k10_funcop_1(B, A, F, k4_binop_1(B, G, C, D), E), k6_funcop_1(B, A, G, k10_funcop_1(B, A, F, C, E), k10_funcop_1(B, A, F, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(B, B), B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(B, B), B) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (r6_binop_1(B, F, G) => r2_funct_2(A, B, k9_funcop_1(B, A, F, E, k4_binop_1(B, G, C, D)), k6_funcop_1(B, A, G, k9_funcop_1(B, A, F, E, C), k9_funcop_1(B, A, F, E, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, B, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(B, B), B) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k2_zfmisc_1(C, C), C) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, C), C)))) )  =>  ( (! [I] :  (m1_subset_1(I, B) =>  (! [J] :  (m1_subset_1(J, B) => k3_funct_2(B, C, F, k4_binop_1(B, G, I, J))=k4_binop_1(C, H, k3_funct_2(B, C, F, I), k3_funct_2(B, C, F, J))) ) ) )  => r2_funct_2(A, C, k1_partfun1(A, B, B, C, k6_funcop_1(B, A, G, D, E), F), k6_funcop_1(C, A, H, k1_partfun1(A, B, B, C, D, F), k1_partfun1(A, B, B, C, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, B, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(B, B), B) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k2_zfmisc_1(C, C), C) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, C), C)))) )  =>  ( (! [I] :  (m1_subset_1(I, B) =>  (! [J] :  (m1_subset_1(J, B) => k3_funct_2(B, C, F, k4_binop_1(B, G, I, J))=k4_binop_1(C, H, k3_funct_2(B, C, F, I), k3_funct_2(B, C, F, J))) ) ) )  => r2_funct_2(A, C, k1_partfun1(A, B, B, C, k10_funcop_1(B, A, G, D, E), F), k10_funcop_1(C, A, H, k3_funct_2(B, C, F, D), k1_partfun1(A, B, B, C, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, B, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(B, B), B) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k2_zfmisc_1(C, C), C) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, C), C)))) )  =>  ( (! [I] :  (m1_subset_1(I, B) =>  (! [J] :  (m1_subset_1(J, B) => k3_funct_2(B, C, F, k4_binop_1(B, G, I, J))=k4_binop_1(C, H, k3_funct_2(B, C, F, I), k3_funct_2(B, C, F, J))) ) ) )  => r2_funct_2(A, C, k1_partfun1(A, B, B, C, k9_funcop_1(B, A, G, E, D), F), k9_funcop_1(C, A, H, k1_partfun1(A, B, B, C, E, F), k3_funct_2(B, C, F, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, B), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, B, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, B)))) )  =>  (r7_binop_1(B, F, E) => r2_funct_2(A, B, k1_partfun1(A, B, B, B, k6_funcop_1(B, A, E, C, D), F), k6_funcop_1(B, A, E, k1_partfun1(A, B, B, B, C, F), k1_partfun1(A, B, B, B, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, B), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, B, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, B)))) )  =>  (r7_binop_1(B, F, E) => r2_funct_2(A, B, k1_partfun1(A, B, B, B, k10_funcop_1(B, A, E, C, D), F), k10_funcop_1(B, A, E, k3_funct_2(B, B, F, C), k1_partfun1(A, B, B, B, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, B), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, B, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, B)))) )  =>  (r7_binop_1(B, F, E) => r2_funct_2(A, B, k1_partfun1(A, B, B, B, k9_funcop_1(B, A, E, D, C), F), k9_funcop_1(B, A, E, k1_partfun1(A, B, B, B, D, F), k3_funct_2(B, B, F, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(B, B), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (v1_setwiseo(D, B) =>  (r2_funct_2(A, B, k6_funcop_1(B, A, D, k8_funcop_1(B, A, k3_binop_1(B, D)), C), C) & r2_funct_2(A, B, k6_funcop_1(B, A, D, C, k8_funcop_1(B, A, k3_binop_1(B, D))), C)) ) ) ) ) ) ) ) ) ) ).
fof(t44_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(B, B), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (v1_setwiseo(D, B) => r2_funct_2(A, B, k10_funcop_1(B, A, D, k3_binop_1(B, D), C), C)) ) ) ) ) ) ) ) ) ).
fof(t45_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(B, B), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (v1_setwiseo(D, B) => r2_funct_2(A, B, k9_funcop_1(B, A, D, C, k3_binop_1(B, D)), C)) ) ) ) ) ) ) ) ) ).
fof(t46_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v3_card_1(E, D) & m2_finseq_1(E, A))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(A, A), A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(A, A), A) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (r6_binop_1(A, F, G) => r2_relset_1(k4_ordinal1, A, k3_finseqop(A, A, A, F, k4_binop_1(A, G, B, C), E), k1_finseqop(A, A, A, G, k3_finseqop(A, A, A, F, B, E), k3_finseqop(A, A, A, F, C, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v3_card_1(E, D) & m2_finseq_1(E, A))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(A, A), A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(A, A), A) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (r6_binop_1(A, F, G) => r2_relset_1(k4_ordinal1, A, k2_finseqop(A, A, A, F, E, k4_binop_1(A, G, B, C)), k1_finseqop(A, A, A, G, k2_finseqop(A, A, A, F, E, B), k2_finseqop(A, A, A, F, E, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v3_card_1(E, C) & m2_finseq_1(E, A))  =>  (! [F] :  ( (v3_card_1(F, C) & m2_finseq_1(F, A))  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(A, A), A) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k2_zfmisc_1(B, B), B) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  ( (! [I] :  (m1_subset_1(I, A) =>  (! [J] :  (m1_subset_1(J, A) => k3_funct_2(A, B, D, k4_binop_1(A, G, I, J))=k4_binop_1(B, H, k3_funct_2(A, B, D, I), k3_funct_2(A, B, D, J))) ) ) )  => r2_relset_1(k4_ordinal1, B, k4_finseqop(A, B, k1_finseqop(A, A, A, G, E, F), D), k1_finseqop(B, B, B, H, k4_finseqop(A, B, E, D), k4_finseqop(A, B, F, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [F] :  ( (v3_card_1(F, D) & m2_finseq_1(F, A))  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(A, A), A) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k2_zfmisc_1(B, B), B) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  ( (! [I] :  (m1_subset_1(I, A) =>  (! [J] :  (m1_subset_1(J, A) => k3_funct_2(A, B, E, k4_binop_1(A, G, I, J))=k4_binop_1(B, H, k3_funct_2(A, B, E, I), k3_funct_2(A, B, E, J))) ) ) )  => r2_relset_1(k4_ordinal1, B, k4_finseqop(A, B, k3_finseqop(A, A, A, G, C, F), E), k3_finseqop(B, B, B, H, k3_funct_2(A, B, E, C), k4_finseqop(A, B, F, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [F] :  ( (v3_card_1(F, D) & m2_finseq_1(F, A))  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(A, A), A) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k2_zfmisc_1(B, B), B) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  ( (! [I] :  (m1_subset_1(I, A) =>  (! [J] :  (m1_subset_1(J, A) => k3_funct_2(A, B, E, k4_binop_1(A, G, I, J))=k4_binop_1(B, H, k3_funct_2(A, B, E, I), k3_funct_2(A, B, E, J))) ) ) )  => r2_relset_1(k4_ordinal1, B, k4_finseqop(A, B, k2_finseqop(A, A, A, G, F, C), E), k2_finseqop(B, B, B, H, k4_finseqop(A, B, F, E), k3_funct_2(A, B, E, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_card_1(C, B) & m2_finseq_1(C, A))  =>  (! [D] :  ( (v3_card_1(D, B) & m2_finseq_1(D, A))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, A), A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (r7_binop_1(A, F, E) => r2_relset_1(k4_ordinal1, A, k4_finseqop(A, A, k1_finseqop(A, A, A, E, C, D), F), k1_finseqop(A, A, A, E, k4_finseqop(A, A, C, F), k4_finseqop(A, A, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v3_card_1(D, C) & m2_finseq_1(D, A))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, A), A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (r7_binop_1(A, F, E) => r2_relset_1(k4_ordinal1, A, k4_finseqop(A, A, k3_finseqop(A, A, A, E, B, D), F), k3_finseqop(A, A, A, E, k3_funct_2(A, A, F, B), k4_finseqop(A, A, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v3_card_1(D, C) & m2_finseq_1(D, A))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, A), A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (r7_binop_1(A, F, E) => r2_relset_1(k4_ordinal1, A, k4_finseqop(A, A, k2_finseqop(A, A, A, E, D, B), F), k2_finseqop(A, A, A, E, k4_finseqop(A, A, D, F), k3_funct_2(A, A, F, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  ( (r6_binop_1(A, D, C) & r2_funct_2(A, A, E, k10_funcop_1(A, A, D, B, k6_partfun1(A))))  => r7_binop_1(A, E, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  ( (r6_binop_1(A, D, C) & r2_funct_2(A, A, E, k9_funcop_1(A, A, D, k6_partfun1(A), B)))  => r7_binop_1(A, E, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_card_1(C, B) & m2_finseq_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v1_setwiseo(D, A) =>  (r2_relset_1(k4_ordinal1, A, k1_finseqop(A, A, A, D, k5_finseq_2(A, B, k3_binop_1(A, D)), C), C) & r2_relset_1(k4_ordinal1, A, k1_finseqop(A, A, A, D, C, k5_finseq_2(A, B, k3_binop_1(A, D))), C)) ) ) ) ) ) ) ) ) ) ).
fof(t57_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_card_1(C, B) & m2_finseq_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v1_setwiseo(D, A) => r2_relset_1(k4_ordinal1, A, k3_finseqop(A, A, A, D, k3_binop_1(A, D), C), C)) ) ) ) ) ) ) ) ) ).
fof(t58_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_card_1(C, B) & m2_finseq_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v1_setwiseo(D, A) => r2_relset_1(k4_ordinal1, A, k2_finseqop(A, A, A, D, C, k3_binop_1(A, D)), C)) ) ) ) ) ) ) ) ) ).
fof(d1_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (r1_finseqop(A, B, C) <=>  (! [D] :  (m1_subset_1(D, A) =>  (k4_binop_1(A, C, D, k3_funct_2(A, A, B, D))=k3_binop_1(A, C) & k4_binop_1(A, C, k3_funct_2(A, A, B, D), D)=k3_binop_1(A, C)) ) ) ) ) ) ) ) ) ) ).
fof(d2_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v1_finseqop(B, A) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  & r1_finseqop(A, C, B)) ) ) ) ) ) ) ).
fof(d3_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  ( (v1_setwiseo(B, A) &  (v2_binop_1(B, A) & v1_finseqop(B, A)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (C=k5_finseqop(A, B) <=> r1_finseqop(A, C, B)) ) ) ) ) ) ) ) ).
fof(t59_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  ( (v1_setwiseo(C, A) &  (v2_binop_1(C, A) & v1_finseqop(C, A)) )  =>  (k4_binop_1(A, C, k3_funct_2(A, A, k5_finseqop(A, C), B), B)=k3_binop_1(A, C) & k4_binop_1(A, C, B, k3_funct_2(A, A, k5_finseqop(A, C), B))=k3_binop_1(A, C)) ) ) ) ) ) ) ) ).
fof(t60_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  ( (v1_setwiseo(D, A) &  (v2_binop_1(D, A) &  (v1_finseqop(D, A) & k4_binop_1(A, D, B, C)=k3_binop_1(A, D)) ) )  =>  (B=k3_funct_2(A, A, k5_finseqop(A, D), C) & k3_funct_2(A, A, k5_finseqop(A, D), B)=C) ) ) ) ) ) ) ) ) ) ).
fof(t61_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  ( (v1_setwiseo(B, A) &  (v2_binop_1(B, A) & v1_finseqop(B, A)) )  => k3_funct_2(A, A, k5_finseqop(A, B), k3_binop_1(A, B))=k3_binop_1(A, B)) ) ) ) ) ).
fof(t62_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  ( (v1_setwiseo(C, A) &  (v2_binop_1(C, A) & v1_finseqop(C, A)) )  => k3_funct_2(A, A, k5_finseqop(A, C), k3_funct_2(A, A, k5_finseqop(A, C), B))=B) ) ) ) ) ) ) ).
fof(t63_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  ( (v1_setwiseo(B, A) &  (v2_binop_1(B, A) &  (v1_binop_1(B, A) & v1_finseqop(B, A)) ) )  => r7_binop_1(A, k5_finseqop(A, B), B)) ) ) ) ) ).
fof(t64_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, A), A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  ( (v1_setwiseo(E, A) &  (v2_binop_1(E, A) & v1_finseqop(E, A)) )  =>  ( ( ~ (k4_binop_1(A, E, B, C)=k4_binop_1(A, E, B, D))  &  ~ (k4_binop_1(A, E, C, B)=k4_binop_1(A, E, D, B)) )  | C=D) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  ( (v1_setwiseo(D, A) &  (v2_binop_1(D, A) & v1_finseqop(D, A)) )  =>  ( ( ~ (k4_binop_1(A, D, B, C)=C)  &  ~ (k4_binop_1(A, D, C, B)=C) )  | B=k3_binop_1(A, D)) ) ) ) ) ) ) ) ) ) ).
fof(t66_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  ( (v2_binop_1(C, A) &  (v1_setwiseo(C, A) &  (v1_finseqop(C, A) &  (r6_binop_1(A, D, C) & B=k3_binop_1(A, C)) ) ) )  =>  (! [E] :  (m1_subset_1(E, A) =>  (k4_binop_1(A, D, B, E)=B & k4_binop_1(A, D, E, B)=B) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, A), A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  ( (v1_setwiseo(D, A) &  (v2_binop_1(D, A) &  (v1_finseqop(D, A) &  (r2_funct_2(A, A, F, k5_finseqop(A, D)) & r6_binop_1(A, E, D)) ) ) )  =>  (k3_funct_2(A, A, F, k4_binop_1(A, E, B, C))=k4_binop_1(A, E, k3_funct_2(A, A, F, B), C) & k3_funct_2(A, A, F, k4_binop_1(A, E, B, C))=k4_binop_1(A, E, B, k3_funct_2(A, A, F, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  ( (v1_setwiseo(B, A) &  (v2_binop_1(B, A) &  (v1_finseqop(B, A) &  (r2_funct_2(A, A, D, k5_finseqop(A, B)) &  (r6_binop_1(A, C, B) & v1_setwiseo(C, A)) ) ) ) )  => r2_funct_2(A, A, k10_funcop_1(A, A, C, k3_funct_2(A, A, D, k3_binop_1(A, C)), k6_partfun1(A)), D)) ) ) ) ) ) ) ) ) ).
fof(t69_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  ( (v2_binop_1(C, A) &  (v1_setwiseo(C, A) &  (v1_finseqop(C, A) & r6_binop_1(A, D, C)) ) )  => k3_funct_2(A, A, k10_funcop_1(A, A, D, B, k6_partfun1(A)), k3_binop_1(A, C))=k3_binop_1(A, C)) ) ) ) ) ) ) ) ) ).
fof(t70_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  ( (v2_binop_1(C, A) &  (v1_setwiseo(C, A) &  (v1_finseqop(C, A) & r6_binop_1(A, D, C)) ) )  => k3_funct_2(A, A, k9_funcop_1(A, A, D, k6_partfun1(A), B), k3_binop_1(A, C))=k3_binop_1(A, C)) ) ) ) ) ) ) ) ) ).
fof(t71_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(B, B), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  ( (v1_setwiseo(D, B) &  (v2_binop_1(D, B) & v1_finseqop(D, B)) )  =>  (r2_funct_2(A, B, k6_funcop_1(B, A, D, C, k1_partfun1(A, B, B, B, C, k5_finseqop(B, D))), k8_funcop_1(B, A, k3_binop_1(B, D))) & r2_funct_2(A, B, k6_funcop_1(B, A, D, k1_partfun1(A, B, B, B, C, k5_finseqop(B, D)), C), k8_funcop_1(B, A, k3_binop_1(B, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t72_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, B), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  ( (v2_binop_1(E, B) &  (v1_finseqop(E, B) &  (v1_setwiseo(E, B) & r2_funct_2(A, B, k6_funcop_1(B, A, E, C, D), k8_funcop_1(B, A, k3_binop_1(B, E)))) ) )  =>  (r2_funct_2(A, B, C, k1_partfun1(A, B, B, B, D, k5_finseqop(B, E))) & r2_funct_2(A, B, k1_partfun1(A, B, B, B, C, k5_finseqop(B, E)), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t73_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_card_1(C, B) & m2_finseq_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  ( (v1_setwiseo(D, A) &  (v2_binop_1(D, A) & v1_finseqop(D, A)) )  =>  (r2_relset_1(k4_ordinal1, A, k1_finseqop(A, A, A, D, C, k4_finseqop(A, A, C, k5_finseqop(A, D))), k5_finseq_2(A, B, k3_binop_1(A, D))) & r2_relset_1(k4_ordinal1, A, k1_finseqop(A, A, A, D, k4_finseqop(A, A, C, k5_finseqop(A, D)), C), k5_finseq_2(A, B, k3_binop_1(A, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t74_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_card_1(C, B) & m2_finseq_1(C, A))  =>  (! [D] :  ( (v3_card_1(D, B) & m2_finseq_1(D, A))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, A), A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  ( (v2_binop_1(E, A) &  (v1_finseqop(E, A) &  (v1_setwiseo(E, A) & r2_relset_1(k4_ordinal1, A, k1_finseqop(A, A, A, E, C, D), k5_finseq_2(A, B, k3_binop_1(A, E)))) ) )  =>  (r2_relset_1(k4_ordinal1, A, C, k4_finseqop(A, A, D, k5_finseqop(A, E))) & r2_relset_1(k4_ordinal1, A, k4_finseqop(A, A, C, k5_finseqop(A, E)), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, B), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(B, B), B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  ( (v2_binop_1(E, B) &  (v1_setwiseo(E, B) &  (C=k3_binop_1(B, E) &  (v1_finseqop(E, B) & r6_binop_1(B, F, E)) ) ) )  => r2_funct_2(A, B, k10_funcop_1(B, A, F, C, D), k8_funcop_1(B, A, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t76_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v3_card_1(D, C) & m2_finseq_1(D, A))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, A), A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(A, A), A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  ( (v2_binop_1(E, A) &  (v1_setwiseo(E, A) &  (B=k3_binop_1(A, E) &  (v1_finseqop(E, A) & r6_binop_1(A, F, E)) ) ) )  => r2_relset_1(k4_ordinal1, A, k3_finseqop(A, A, A, F, B, D), k5_finseq_2(A, C, B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_finseqop, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => k6_finseqop(A, B, C)=k3_relat_1(k15_funct_3(B, C), A)) ) ) ) ) ) ).
fof(t77_finseqop, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (r2_hidden(k4_tarski(A, B), k9_xtuple_0(k6_finseqop(C, D, E))) => k1_binop_1(k6_finseqop(C, D, E), A, B)=k1_binop_1(C, k1_funct_1(D, A), k1_funct_1(E, B))) ) ) ) ) ) ) ) ) ).
fof(t79_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(C, D), E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, D), E)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, B, D) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(B, D)))) )  =>  (v1_funct_1(k6_finseqop(F, G, H)) &  (v1_funct_2(k6_finseqop(F, G, H), k2_zfmisc_1(A, B), E) & m1_subset_1(k6_finseqop(F, G, H), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t80_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (v1_funct_1(k6_finseqop(B, C, D)) &  (v1_funct_2(k6_finseqop(B, C, D), k2_zfmisc_1(A, A), A) & m1_subset_1(k6_finseqop(B, C, D), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) ) ) ) ) ) ) ) ) ).
fof(t81_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, B) =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k2_zfmisc_1(C, D), E) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, D), E)))) )  =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, A, C) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, B, D) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(B, D)))) )  => k1_binop_1(k6_finseqop(H, I, J), F, G)=k2_binop_1(C, D, E, H, k3_funct_2(A, C, I, F), k3_funct_2(B, D, J, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t82_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (k4_binop_1(A, k7_finseqop(A, D, k6_partfun1(A), E), B, C)=k4_binop_1(A, D, B, k3_funct_2(A, A, E, C)) & k4_binop_1(A, k7_finseqop(A, D, E, k6_partfun1(A)), B, C)=k4_binop_1(A, D, k3_funct_2(A, A, E, B), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t83_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, B), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, B, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, B)))) )  => r2_funct_2(A, B, k6_funcop_1(B, A, k7_finseqop(B, E, k6_partfun1(B), F), C, D), k6_funcop_1(B, A, E, C, k1_partfun1(A, B, B, B, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t84_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_card_1(C, B) & m2_finseq_1(C, A))  =>  (! [D] :  ( (v3_card_1(D, B) & m2_finseq_1(D, A))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, A), A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  => r2_relset_1(k4_ordinal1, A, k1_finseqop(A, A, A, k7_finseqop(A, E, k6_partfun1(A), F), C, D), k1_finseqop(A, A, A, E, C, k4_finseqop(A, A, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t85_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  ( (v2_binop_1(D, A) &  (v1_setwiseo(D, A) &  (v1_binop_1(D, A) &  (v1_finseqop(D, A) & r2_funct_2(A, A, E, k5_finseqop(A, D))) ) ) )  =>  (k3_funct_2(A, A, E, k4_binop_1(A, k7_finseqop(A, D, k6_partfun1(A), E), B, C))=k4_binop_1(A, k7_finseqop(A, D, E, k6_partfun1(A)), B, C) & k4_binop_1(A, k7_finseqop(A, D, k6_partfun1(A), E), B, C)=k3_funct_2(A, A, E, k4_binop_1(A, k7_finseqop(A, D, E, k6_partfun1(A)), B, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t86_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  ( (v2_binop_1(C, A) &  (v1_setwiseo(C, A) & v1_finseqop(C, A)) )  => k4_binop_1(A, k7_finseqop(A, C, k6_partfun1(A), k5_finseqop(A, C)), B, B)=k3_binop_1(A, C)) ) ) ) ) ) ) ).
fof(t87_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  ( (v2_binop_1(C, A) &  (v1_setwiseo(C, A) & v1_finseqop(C, A)) )  => k4_binop_1(A, k7_finseqop(A, C, k6_partfun1(A), k5_finseqop(A, C)), B, k3_binop_1(A, C))=B) ) ) ) ) ) ) ).
fof(t88_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (v1_setwiseo(C, A) => k4_binop_1(A, k7_finseqop(A, C, k6_partfun1(A), D), k3_binop_1(A, C), B)=k3_funct_2(A, A, D, B)) ) ) ) ) ) ) ) ) ).
fof(t89_finseqop, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  ( (v1_binop_1(B, A) &  (v2_binop_1(B, A) &  (v1_setwiseo(B, A) &  (v1_finseqop(B, A) & r8_binop_1(A, A, A, C, k7_finseqop(A, B, k6_partfun1(A), k5_finseqop(A, B)))) ) ) )  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) => k4_binop_1(A, B, k4_binop_1(A, C, D, E), k4_binop_1(A, C, F, G))=k4_binop_1(A, C, k4_binop_1(A, B, D, F), k4_binop_1(A, B, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_finseqop, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  &  (m1_finseq_1(E, A) & m1_finseq_1(F, B)) ) ) ) )  => m2_finseq_1(k1_finseqop(A, B, C, D, E, F), C)) ) ).
fof(redefinition_k1_finseqop, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  &  (m1_finseq_1(E, A) & m1_finseq_1(F, B)) ) ) ) )  => k1_finseqop(A, B, C, D, E, F)=k3_funcop_1(D, E, F)) ) ).
fof(dt_k2_finseqop, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  &  (m1_finseq_1(E, A) & m1_subset_1(F, B)) ) ) ) )  => m2_finseq_1(k2_finseqop(A, B, C, D, E, F), C)) ) ).
fof(redefinition_k2_finseqop, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  &  (m1_finseq_1(E, A) & m1_subset_1(F, B)) ) ) ) )  => k2_finseqop(A, B, C, D, E, F)=k4_funcop_1(D, E, F)) ) ).
fof(dt_k3_finseqop, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  &  (m1_subset_1(E, A) & m1_finseq_1(F, B)) ) ) ) )  => m2_finseq_1(k3_finseqop(A, B, C, D, E, F), C)) ) ).
fof(redefinition_k3_finseqop, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  &  (m1_subset_1(E, A) & m1_finseq_1(F, B)) ) ) ) )  => k3_finseqop(A, B, C, D, E, F)=k5_funcop_1(D, E, F)) ) ).
fof(dt_k4_finseqop, axiom,  (! [A, B, C, D] :  ( (m1_finseq_1(C, A) &  (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  => m2_finseq_1(k4_finseqop(A, B, C, D), B)) ) ).
fof(redefinition_k4_finseqop, axiom,  (! [A, B, C, D] :  ( (m1_finseq_1(C, A) &  (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  => k4_finseqop(A, B, C, D)=k3_relat_1(C, D)) ) ).
fof(dt_k5_finseqop, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) )  =>  (v1_funct_1(k5_finseqop(A, B)) &  (v1_funct_2(k5_finseqop(A, B), A, A) & m1_subset_1(k5_finseqop(A, B), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ).
fof(dt_k6_finseqop, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  ( (v1_relat_1(B) & v1_funct_1(B))  &  (v1_relat_1(C) & v1_funct_1(C)) ) )  =>  (v1_relat_1(k6_finseqop(A, B, C)) & v1_funct_1(k6_finseqop(A, B, C))) ) ) ).
fof(dt_k7_finseqop, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, A, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) )  =>  (v1_funct_1(k7_finseqop(A, B, C, D)) &  (v1_funct_2(k7_finseqop(A, B, C, D), k2_zfmisc_1(A, A), A) & m1_subset_1(k7_finseqop(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) ) ) ).
fof(redefinition_k7_finseqop, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, A, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) )  => k7_finseqop(A, B, C, D)=k6_finseqop(B, C, D)) ) ).
fof(rc1_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_finset_1(A)) ) ).
fof(cc1_finset_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_finset_1(A)) ) ).
fof(fc1_finset_1, axiom,  (! [A] : v1_finset_1(k1_tarski(A))) ).
fof(fc2_finset_1, axiom,  (! [A, B] : v1_finset_1(k2_tarski(A, B))) ).
fof(fc3_finset_1, axiom,  (! [A, B, C] : v1_finset_1(k1_enumset1(A, B, C))) ).
fof(fc4_finset_1, axiom,  (! [A, B, C, D] : v1_finset_1(k2_enumset1(A, B, C, D))) ).
fof(fc5_finset_1, axiom,  (! [A, B, C, D, E] : v1_finset_1(k3_enumset1(A, B, C, D, E))) ).
fof(fc6_finset_1, axiom,  (! [A, B, C, D, E, F] : v1_finset_1(k4_enumset1(A, B, C, D, E, F))) ).
fof(fc7_finset_1, axiom,  (! [A, B, C, D, E, F, G] : v1_finset_1(k5_enumset1(A, B, C, D, E, F, G))) ).
fof(fc8_finset_1, axiom,  (! [A, B, C, D, E, F, G, H] : v1_finset_1(k6_enumset1(A, B, C, D, E, F, G, H))) ).
fof(cc2_finset_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_finset_1(B)) ) ) ) ).
fof(fc9_finset_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) & v1_finset_1(B))  => v1_finset_1(k2_xboole_0(A, B))) ) ).
fof(fc10_finset_1, axiom,  (! [A, B] :  (v1_finset_1(B) => v1_finset_1(k3_xboole_0(A, B))) ) ).
fof(fc11_finset_1, axiom,  (! [A, B] :  (v1_finset_1(A) => v1_finset_1(k3_xboole_0(A, B))) ) ).
fof(fc12_finset_1, axiom,  (! [A, B] :  (v1_finset_1(A) => v1_finset_1(k4_xboole_0(A, B))) ) ).
fof(fc13_finset_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  & v1_finset_1(B))  => v1_finset_1(k7_relat_1(A, B))) ) ).
fof(fc14_finset_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) & v1_finset_1(B))  => v1_finset_1(k2_zfmisc_1(A, B))) ) ).
fof(fc15_finset_1, axiom,  (! [A, B, C] :  ( (v1_finset_1(A) &  (v1_finset_1(B) & v1_finset_1(C)) )  => v1_finset_1(k3_zfmisc_1(A, B, C))) ) ).
fof(fc16_finset_1, axiom,  (! [A, B, C, D] :  ( (v1_finset_1(A) &  (v1_finset_1(B) &  (v1_finset_1(C) & v1_finset_1(D)) ) )  => v1_finset_1(k4_zfmisc_1(A, B, C, D))) ) ).
fof(fc17_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v1_finset_1(k1_zfmisc_1(A))) ) ).
fof(fc18_finset_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) & v1_finset_1(B))  => v1_finset_1(k5_xboole_0(A, B))) ) ).
fof(rc2_finset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_xboole_0(B))  & v1_finset_1(B)) ) ) ) ) ).
fof(rc3_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) ) ).
fof(fc19_finset_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_finset_1(A))  => v1_finset_1(k9_xtuple_0(A))) ) ).
fof(fc20_finset_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (v1_relat_1(k3_relat_1(B, A)) & v1_finset_1(k3_relat_1(B, A))) ) ) ).
fof(cc3_finset_1, axiom,  (! [A, B] :  (v1_finset_1(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( (v1_funct_1(C) & v1_funct_2(C, A, B))  =>  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & v1_finset_1(C)) ) ) ) ) ) ) ).
fof(fc21_finset_1, axiom,  (! [A, B] : v1_finset_1(k17_funcop_1(A, B))) ).
fof(fc22_finset_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_finset_1(A))  => v1_finset_1(k10_xtuple_0(A))) ) ).
fof(fc23_finset_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(A)) )  => v1_finset_1(k8_relat_1(A, B))) ) ).
fof(fc24_finset_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v1_finset_1(k1_funct_4(A, B))) ) ) ) ).
fof(rc4_finset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) & v1_funct_1(B)) )  =>  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v5_funct_1(C, B) & v1_finset_1(C)) ) ) ) ) ) ) ).
fof(rc5_finset_1, axiom,  (! [A, B] :  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) ) ) ).
fof(rc6_finset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  (? [C] :  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) ) ) ) ) ).
fof(fc25_finset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v1_finset_1(B))  =>  (v1_relat_1(k6_relat_1(A, B)) & v1_finset_1(k6_relat_1(A, B))) ) ) ).
fof(fc26_finset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v1_finset_1(B))  =>  (v1_relat_1(k5_relat_1(B, A)) & v1_finset_1(k5_relat_1(B, A))) ) ) ).
fof(fc27_finset_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k5_relat_1(B, A)) & v1_finset_1(k5_relat_1(B, A))) ) ) ).
fof(fc28_finset_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_finset_1(A))  => v1_finset_1(k1_relat_1(A))) ) ).
fof(cc4_finset_1, axiom,  (! [A] :  (v1_zfmisc_1(A) => v1_finset_1(A)) ) ).
fof(cc5_finset_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_zfmisc_1(A)) ) ) ).
fof(rc7_finset_1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_zfmisc_1(B))  & v1_finset_1(B)) ) ) ) ) ).
fof(fc29_finset_1, axiom,  (! [A, B, C, D] : v1_finset_1(k6_funct_4(A, B, C, D))) ).
fof(cc6_finset_1, axiom,  (! [A] :  (v1_xboole_0(A) => v5_finset_1(A)) ) ).
fof(cc7_finset_1, axiom,  (! [A] :  (v5_finset_1(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_finset_1(B)) ) ) ) ).
fof(rc8_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v5_finset_1(A)) ) ) ).
fof(fc30_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v5_finset_1(k1_tarski(A))) ) ).
fof(fc31_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v5_finset_1(k1_zfmisc_1(A))) ) ).
fof(fc32_finset_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) & v1_finset_1(B))  => v5_finset_1(k2_tarski(A, B))) ) ).
fof(cc8_finset_1, axiom,  (! [A] :  (v5_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v5_finset_1(B)) ) ) ) ).
fof(fc33_finset_1, axiom,  (! [A, B] :  ( (v5_finset_1(A) & v5_finset_1(B))  => v5_finset_1(k2_xboole_0(A, B))) ) ).
fof(fc34_finset_1, axiom,  (! [A] :  ( (v1_finset_1(A) & v5_finset_1(A))  => v1_finset_1(k3_tarski(A))) ) ).
fof(rc9_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finset_1(A)) ) ) ) ).
fof(cc9_finset_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v2_finset_1(A)) ) ) ).
fof(fc35_finset_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finset_1(A)) )  => v1_finset_1(k1_funct_1(A, B))) ) ).
fof(fc36_finset_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_finset_1(A))  => v5_finset_1(k10_xtuple_0(A))) ) ).
fof(d1_finset_1, axiom,  (! [A] :  (v1_finset_1(A) <=>  (? [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  &  (k10_xtuple_0(B)=A & r2_tarski(k9_xtuple_0(B), k4_ordinal1)) ) ) ) ) ).
fof(t1_finset_1, axiom,  (! [A] :  (! [B] :  ( (r1_tarski(A, B) & v1_finset_1(B))  => v1_finset_1(A)) ) ) ).
fof(t2_finset_1, axiom,  (! [A] :  (! [B] :  ( (v1_finset_1(A) & v1_finset_1(B))  => v1_finset_1(k2_xboole_0(A, B))) ) ) ).
fof(t3_finset_1, axiom,  (! [A] :  (! [B] :  (v1_finset_1(A) => v1_finset_1(k3_xboole_0(A, B))) ) ) ).
fof(t4_finset_1, axiom,  (! [A] :  (! [B] :  (v1_finset_1(A) => v1_finset_1(k6_subset_1(A, B))) ) ) ).
fof(t5_finset_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (v1_finset_1(A) => v1_finset_1(k7_relat_1(B, A))) ) ) ) ).
fof(t6_finset_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  ~ ( ( ~ (B=k1_xboole_0)  &  (! [C] :  ~ ( (r2_tarski(C, B) &  (! [D] :  ( (r2_tarski(D, B) & r1_tarski(C, D))  => D=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_finset_1, axiom,  (! [A] :  ( (v1_finset_1(A) &  (! [B] :  (r2_tarski(B, A) => v1_finset_1(B)) ) )  <=> v1_finset_1(k3_tarski(A))) ) ).
fof(t8_finset_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_finset_1(k9_xtuple_0(A)) => v1_finset_1(k10_xtuple_0(A))) ) ) ).
fof(t9_finset_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (r1_tarski(A, k10_xtuple_0(B)) & v1_finset_1(k8_relat_1(B, A)))  => v1_finset_1(A)) ) ) ) ).
fof(t10_finset_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_finset_1(k9_xtuple_0(A)) <=> v1_finset_1(A)) ) ) ).
fof(t11_finset_1, axiom,  (! [A] :  ~ ( (v1_finset_1(A) &  ( ~ (A=k1_xboole_0)  &  (v6_ordinal1(A) &  (! [B] :  ~ ( (r2_tarski(B, A) &  (! [C] :  (r2_tarski(C, A) => r1_tarski(B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t12_finset_1, axiom,  (! [A] :  ~ ( (v1_finset_1(A) &  ( ~ (A=k1_xboole_0)  &  (v6_ordinal1(A) &  (! [B] :  ~ ( (r2_tarski(B, A) &  (! [C] :  (r2_tarski(C, A) => r1_tarski(C, B)) ) ) ) ) ) ) ) ) ) ).
fof(d2_finset_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v2_finset_1(A) <=>  (! [B] :  (r2_tarski(B, k10_xtuple_0(A)) => v1_finset_1(B)) ) ) ) ) ).
fof(t13_finset_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( (v1_finset_1(A) &  (r1_tarski(A, k2_zfmisc_1(B, C)) &  (! [D] :  (! [E] :  ~ ( (v1_finset_1(D) &  (r1_tarski(D, B) &  (v1_finset_1(E) &  (r1_tarski(E, C) & r1_tarski(A, k2_zfmisc_1(D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_finset_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( (v1_finset_1(A) &  (r1_tarski(A, k2_zfmisc_1(B, C)) &  (! [D] :  ~ ( (v1_finset_1(D) &  (r1_tarski(D, B) & r1_tarski(A, k2_zfmisc_1(D, C))) ) ) ) ) ) ) ) ) ) ).
fof(d3_finset_1, axiom,  (! [A] :  (v3_finset_1(A) <=>  ( ~ (A=k1_xboole_0)  &  (! [B] :  ~ ( ( ~ (B=k1_xboole_0)  &  (r1_tarski(B, A) &  (v1_finset_1(B) & k1_setfam_1(B)=k1_xboole_0) ) ) ) ) ) ) ) ).
fof(d4_finset_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v2_finset_1(A) <=>  (! [B] :  (r2_hidden(B, k9_xtuple_0(A)) => v1_finset_1(k1_funct_1(A, B))) ) ) ) ) ).
fof(d5_finset_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) & v1_funct_1(B)) )  =>  (v2_finset_1(B) <=>  (! [C] :  (r2_hidden(C, A) => v1_finset_1(k1_funct_1(B, C))) ) ) ) ) ) ).
fof(t15_finset_1, axiom,  (! [A] :  (! [B] :  ~ ( ( ~ (v1_finset_1(B))  & r2_tarski(B, k2_zfmisc_1(A, B))) ) ) ) ).
fof(d6_finset_1, axiom,  (! [A] :  (v5_finset_1(A) <=>  (! [B] :  (r2_tarski(B, A) => v1_finset_1(B)) ) ) ) ).
fof(s1_finset_1, axiom,  (? [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  &  (k9_xtuple_0(A)=f1_s1_finset_1 &  (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(B, f1_s1_finset_1) =>  ( (p1_s1_finset_1(B) => k1_funct_1(A, B)=f2_s1_finset_1(B))  &  ( ~ (p1_s1_finset_1(B))  => k1_funct_1(A, B)=f3_s1_finset_1(B)) ) ) ) ) ) ) ) ).
fof(s2_finset_1, axiom,  ( (v1_finset_1(f1_s2_finset_1) &  (p1_s2_finset_1(k1_xboole_0) &  (! [A] :  (! [B] :  ( (r2_tarski(A, f1_s2_finset_1) &  (r1_tarski(B, f1_s2_finset_1) & p1_s2_finset_1(B)) )  => p1_s2_finset_1(k2_xboole_0(B, k1_tarski(A)))) ) ) ) )  => p1_s2_finset_1(f1_s2_finset_1)) ).
fof(redefinition_v4_finset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) & v1_funct_1(B)) )  =>  (v4_finset_1(B, A) <=> v2_finset_1(B)) ) ) ).
fof(d1_finsop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  ( (v1_setwiseo(C, A) | r1_xxreal_0(1, k3_finseq_1(B)))  =>  (! [D] :  (m1_subset_1(D, A) =>  ( ( (v1_setwiseo(C, A) & k3_finseq_1(B)=k5_numbers)  =>  (D=k1_finsop_1(A, B, C) <=> D=k3_binop_1(A, C)) )  &  ( ~ ( (v1_setwiseo(C, A) & k3_finseq_1(B)=k5_numbers) )  =>  (D=k1_finsop_1(A, B, C) <=>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  &  (k8_nat_1(A, E, 1)=k1_funct_1(B, 1) &  ( (! [F] :  (v7_ordinal1(F) =>  ~ ( ( ~ (k5_numbers=F)  &  ( ~ (r1_xxreal_0(k3_finseq_1(B), F))  &  ~ (k8_nat_1(A, E, k1_nat_1(F, 1))=k1_binop_1(C, k8_nat_1(A, E, F), k1_funct_1(B, k1_nat_1(F, 1)))) ) ) ) ) )  & D=k8_nat_1(A, E, k3_finseq_1(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_finsop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  ~ ( (r1_xxreal_0(1, k3_finseq_1(B)) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  =>  ~ ( (k8_nat_1(A, D, 1)=k1_funct_1(B, 1) &  ( (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (k5_numbers=E)  &  ( ~ (r1_xxreal_0(k3_finseq_1(B), E))  &  ~ (k8_nat_1(A, D, k1_nat_1(E, 1))=k1_binop_1(C, k8_nat_1(A, D, E), k1_funct_1(B, k1_nat_1(E, 1)))) ) ) ) ) )  & k1_finsop_1(A, B, C)=k8_nat_1(A, D, k3_finseq_1(B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_finsop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (r1_xxreal_0(1, k3_finseq_1(C)) =>  ( (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  =>  ~ ( (k8_nat_1(A, E, 1)=k1_funct_1(C, 1) &  ( (! [F] :  (v7_ordinal1(F) =>  ~ ( ( ~ (k5_numbers=F)  &  ( ~ (r1_xxreal_0(k3_finseq_1(C), F))  &  ~ (k8_nat_1(A, E, k1_nat_1(F, 1))=k1_binop_1(D, k8_nat_1(A, E, F), k1_funct_1(C, k1_nat_1(F, 1)))) ) ) ) ) )  & B=k8_nat_1(A, E, k3_finseq_1(C))) ) ) ) )  | B=k1_finsop_1(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t3_finsop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  ( (v2_binop_1(C, A) & v1_binop_1(C, A))  =>  ( ( ~ (v1_setwiseo(C, A))  &  ~ (r1_xxreal_0(1, k3_finseq_1(B))) )  | k1_finsop_1(A, B, C)=k7_setwiseo(k4_ordinal1, A, C, k3_finsop_1(B), k2_finsop_1(A, k8_funcop_1(A, k4_ordinal1, k3_binop_1(A, C)), B))) ) ) ) ) ) ) ) ).
fof(t4_finsop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  ( (v1_setwiseo(D, A) | r1_xxreal_0(1, k3_finseq_1(C)))  => k1_finsop_1(A, k8_finseq_1(A, C, k12_finseq_1(A, B)), D)=k4_binop_1(A, D, k1_finsop_1(A, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t5_finsop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v2_binop_1(D, A) =>  ( ( ~ (v1_setwiseo(D, A))  &  ~ ( (r1_xxreal_0(1, k3_finseq_1(B)) & r1_xxreal_0(1, k3_finseq_1(C))) ) )  | k1_finsop_1(A, k8_finseq_1(A, B, C), D)=k4_binop_1(A, D, k1_finsop_1(A, B, D), k1_finsop_1(A, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t6_finsop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v2_binop_1(D, A) =>  ( ( ~ (v1_setwiseo(D, A))  &  ~ (r1_xxreal_0(1, k3_finseq_1(C))) )  | k1_finsop_1(A, k8_finseq_1(A, k12_finseq_1(A, B), C), D)=k4_binop_1(A, D, B, k1_finsop_1(A, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t7_finsop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_relset_1(k4_ordinal1, B), k1_relset_1(k4_ordinal1, B)) &  (v3_funct_2(E, k1_relset_1(k4_ordinal1, B), k1_relset_1(k4_ordinal1, B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_relset_1(k4_ordinal1, B), k1_relset_1(k4_ordinal1, B))))) ) )  =>  ( (v1_binop_1(D, A) &  (v2_binop_1(D, A) & C=k3_relat_1(E, B)) )  =>  ( ( ~ (v1_setwiseo(D, A))  &  ~ (r1_xxreal_0(1, k3_finseq_1(B))) )  | k1_finsop_1(A, B, D)=k1_finsop_1(A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_finsop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  ( (v2_binop_1(D, A) &  (v1_binop_1(D, A) &  (v2_funct_1(B) &  (v2_funct_1(C) & k10_xtuple_0(B)=k10_xtuple_0(C)) ) ) )  =>  ( ( ~ (v1_setwiseo(D, A))  &  ~ (r1_xxreal_0(1, k3_finseq_1(B))) )  | k1_finsop_1(A, B, D)=k1_finsop_1(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t9_finsop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, A), A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  ( (v2_binop_1(E, A) &  (v1_binop_1(E, A) &  (k3_finseq_1(B)=k3_finseq_1(C) &  (k3_finseq_1(B)=k3_finseq_1(D) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k1_relset_1(k4_ordinal1, B)) => k1_funct_1(B, F)=k1_binop_1(E, k1_funct_1(C, F), k1_funct_1(D, F))) ) ) ) ) ) )  =>  ( ( ~ (v1_setwiseo(E, A))  &  ~ (r1_xxreal_0(1, k3_finseq_1(B))) )  | k1_finsop_1(A, B, E)=k4_binop_1(A, E, k1_finsop_1(A, C, E), k1_finsop_1(A, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_finsop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v1_setwiseo(B, A) => k1_finsop_1(A, k6_finseq_1(A), B)=k3_binop_1(A, B)) ) ) ) ) ).
fof(t11_finsop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  => k1_finsop_1(A, k12_finseq_1(A, B), C)=B) ) ) ) ) ) ).
fof(t12_finsop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  => k1_finsop_1(A, k2_finseq_4(A, B, C), D)=k4_binop_1(A, D, B, C)) ) ) ) ) ) ) ) ).
fof(t13_finsop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v1_binop_1(D, A) => k1_finsop_1(A, k2_finseq_4(A, B, C), D)=k1_finsop_1(A, k2_finseq_4(A, C, B), D)) ) ) ) ) ) ) ) ) ).
fof(t14_finsop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, A), A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  => k1_finsop_1(A, k3_finseq_4(A, B, C, D), E)=k4_binop_1(A, E, k4_binop_1(A, E, B, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(t15_finsop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, A), A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v1_binop_1(E, A) => k1_finsop_1(A, k3_finseq_4(A, B, C, D), E)=k1_finsop_1(A, k3_finseq_4(A, C, B, D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_finsop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  => k1_finsop_1(A, k5_finseq_2(A, 1, B), C)=B) ) ) ) ) ) ).
fof(t17_finsop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  => k1_finsop_1(A, k5_finseq_2(A, 2, B), C)=k4_binop_1(A, C, B, B)) ) ) ) ) ) ).
fof(t18_finsop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (v2_binop_1(C, A) =>  ( ( ~ (v1_setwiseo(C, A))  &  ~ ( ( ~ (D=k5_numbers)  &  ~ (E=k5_numbers) ) ) )  | k1_finsop_1(A, k5_finseq_2(A, k2_xcmplx_0(D, E), B), C)=k4_binop_1(A, C, k1_finsop_1(A, k5_finseq_2(A, D, B), C), k1_finsop_1(A, k5_finseq_2(A, E, B), C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_finsop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (v2_binop_1(C, A) =>  ( ( ~ (v1_setwiseo(C, A))  &  ~ ( ( ~ (D=k5_numbers)  &  ~ (E=k5_numbers) ) ) )  | k1_finsop_1(A, k5_finseq_2(A, k3_xcmplx_0(D, E), B), C)=k1_finsop_1(A, k5_finseq_2(A, E, k1_finsop_1(A, k5_finseq_2(A, D, B), C)), C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_finsop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (k3_finseq_1(B)=1 => k1_finsop_1(A, B, C)=k1_funct_1(B, 1)) ) ) ) ) ) ) ).
fof(t21_finsop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (k3_finseq_1(B)=2 => k1_finsop_1(A, B, C)=k1_binop_1(C, k1_funct_1(B, 1), k1_funct_1(B, 2))) ) ) ) ) ) ) ).
fof(dt_k1_finsop_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_finseq_1(B, A) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) ) )  => m1_subset_1(k1_finsop_1(A, B, C), A)) ) ).
fof(dt_k2_finsop_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  & m1_finseq_1(C, A)) )  =>  (v1_funct_1(k2_finsop_1(A, B, C)) &  (v1_funct_2(k2_finsop_1(A, B, C), k4_ordinal1, A) & m1_subset_1(k2_finsop_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) ) ) ) ).
fof(idempotence_k2_finsop_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  & m1_finseq_1(C, A)) )  => k2_finsop_1(A, B, B)=B) ) ).
fof(redefinition_k2_finsop_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  & m1_finseq_1(C, A)) )  => k2_finsop_1(A, B, C)=k1_funct_4(B, C)) ) ).
fof(dt_k3_finsop_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => m1_subset_1(k3_finsop_1(A), k5_finsub_1(k4_ordinal1))) ) ).
fof(redefinition_k3_finsop_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k3_finsop_1(A)=k9_xtuple_0(A)) ) ).
fof(cc1_finsub_1, axiom,  (! [A] :  (v4_finsub_1(A) =>  (v1_finsub_1(A) & v3_finsub_1(A)) ) ) ).
fof(cc2_finsub_1, axiom,  (! [A] :  ( (v1_finsub_1(A) & v3_finsub_1(A))  => v4_finsub_1(A)) ) ).
fof(rc1_finsub_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_finsub_1(A) &  (v2_finsub_1(A) & v3_finsub_1(A)) ) ) ) ).
fof(fc1_finsub_1, axiom,  (! [A] : v4_finsub_1(k1_zfmisc_1(A))) ).
fof(fc2_finsub_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(k5_finsub_1(A)))  & v4_finsub_1(k5_finsub_1(A))) ) ).
fof(cc3_finsub_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k5_finsub_1(A)) => v1_finset_1(B)) ) ) ).
fof(d1_finsub_1, axiom,  (! [A] :  (v1_finsub_1(A) <=>  (! [B] :  (! [C] :  ( (r2_tarski(B, A) & r2_tarski(C, A))  => r2_tarski(k2_xboole_0(B, C), A)) ) ) ) ) ).
fof(d2_finsub_1, axiom,  (! [A] :  (v2_finsub_1(A) <=>  (! [B] :  (! [C] :  ( (r2_tarski(B, A) & r2_tarski(C, A))  => r2_tarski(k3_xboole_0(B, C), A)) ) ) ) ) ).
fof(d3_finsub_1, axiom,  (! [A] :  (v3_finsub_1(A) <=>  (! [B] :  (! [C] :  ( (r2_tarski(B, A) & r2_tarski(C, A))  => r2_tarski(k6_subset_1(B, C), A)) ) ) ) ) ).
fof(d4_finsub_1, axiom,  (! [A] :  (v4_finsub_1(A) <=>  (v1_finsub_1(A) & v3_finsub_1(A)) ) ) ).
fof(t1_finsub_1, axiom,  (! [A] :  (v4_finsub_1(A) <=>  (! [B] :  (! [C] :  ( (r2_tarski(B, A) & r2_tarski(C, A))  =>  (r2_tarski(k2_xboole_0(B, C), A) & r2_tarski(k6_subset_1(B, C), A)) ) ) ) ) ) ).
fof(t2_finsub_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v4_finsub_1(C))  =>  ( (m1_subset_1(A, C) & m1_subset_1(B, C))  => m1_subset_1(k3_xboole_0(A, B), C)) ) ) ) ) ).
fof(t3_finsub_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v4_finsub_1(C))  =>  ( (m1_subset_1(A, C) & m1_subset_1(B, C))  => m1_subset_1(k5_xboole_0(A, B), C)) ) ) ) ) ).
fof(t4_finsub_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (r2_tarski(k5_xboole_0(B, C), A) & r2_tarski(k6_subset_1(B, C), A)) ) ) ) )  => v4_finsub_1(A)) ) ) ).
fof(t5_finsub_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (r2_tarski(k5_xboole_0(B, C), A) & r2_tarski(k3_xboole_0(B, C), A)) ) ) ) )  => v4_finsub_1(A)) ) ) ).
fof(t6_finsub_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (r2_tarski(k5_xboole_0(B, C), A) & r2_tarski(k2_xboole_0(B, C), A)) ) ) ) )  => v4_finsub_1(A)) ) ) ).
fof(t7_finsub_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  => r2_tarski(k1_xboole_0, A)) ) ).
fof(t8_finsub_1, axiom,  (! [A] : v4_finsub_1(k1_zfmisc_1(A))) ).
fof(t9_finsub_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_finsub_1(B))  =>  ( ~ (v1_xboole_0(k3_xboole_0(A, B)))  & v4_finsub_1(k3_xboole_0(A, B))) ) ) ) ) ).
fof(d5_finsub_1, axiom,  (! [A] :  (! [B] :  (v4_finsub_1(B) =>  (B=k5_finsub_1(A) <=>  (! [C] :  (r2_tarski(C, B) <=>  (r1_tarski(C, A) & v1_finset_1(C)) ) ) ) ) ) ) ).
fof(t10_finsub_1, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) => r1_tarski(k5_finsub_1(A), k5_finsub_1(B))) ) ) ).
fof(t11_finsub_1, axiom,  (! [A] :  (! [B] : k5_finsub_1(k3_xboole_0(A, B))=k3_xboole_0(k5_finsub_1(A), k5_finsub_1(B))) ) ).
fof(t12_finsub_1, axiom,  (! [A] :  (! [B] : r1_tarski(k2_xboole_0(k5_finsub_1(A), k5_finsub_1(B)), k5_finsub_1(k2_xboole_0(A, B)))) ) ).
fof(t13_finsub_1, axiom,  (! [A] : r1_tarski(k5_finsub_1(A), k1_zfmisc_1(A))) ).
fof(t14_finsub_1, axiom,  (! [A] :  (v1_finset_1(A) => k5_finsub_1(A)=k1_zfmisc_1(A)) ) ).
fof(t15_finsub_1, axiom, k5_finsub_1(k1_xboole_0)=k1_tarski(k1_xboole_0)).
fof(t16_finsub_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k5_finsub_1(A)) => m1_subset_1(B, k1_zfmisc_1(A))) ) ) ).
fof(t17_finsub_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (v1_finset_1(A) => m1_subset_1(B, k5_finsub_1(A))) ) ) ) ).
fof(dt_k1_finsub_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => m1_subset_1(k1_finsub_1(A, B, C), A)) ) ).
fof(commutativity_k1_finsub_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k1_finsub_1(A, B, C)=k1_finsub_1(A, C, B)) ) ).
fof(idempotence_k1_finsub_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k1_finsub_1(A, B, B)=B) ) ).
fof(redefinition_k1_finsub_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k1_finsub_1(A, B, C)=k2_xboole_0(B, C)) ) ).
fof(dt_k2_finsub_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => m1_subset_1(k2_finsub_1(A, B, C), A)) ) ).
fof(redefinition_k2_finsub_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k2_finsub_1(A, B, C)=k4_xboole_0(B, C)) ) ).
fof(dt_k3_finsub_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => m1_subset_1(k3_finsub_1(A, B, C), A)) ) ).
fof(commutativity_k3_finsub_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k3_finsub_1(A, B, C)=k3_finsub_1(A, C, B)) ) ).
fof(idempotence_k3_finsub_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k3_finsub_1(A, B, B)=B) ) ).
fof(redefinition_k3_finsub_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k3_finsub_1(A, B, C)=k3_xboole_0(B, C)) ) ).
fof(dt_k4_finsub_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => m1_subset_1(k4_finsub_1(A, B, C), A)) ) ).
fof(commutativity_k4_finsub_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k4_finsub_1(A, B, C)=k4_finsub_1(A, C, B)) ) ).
fof(redefinition_k4_finsub_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k4_finsub_1(A, B, C)=k5_xboole_0(B, C)) ) ).
fof(dt_k5_finsub_1, axiom,  (! [A] : v4_finsub_1(k5_finsub_1(A))) ).
fof(rc1_fintopo2, axiom,  (? [A] :  (l1_fintopo2(A) & v1_fintopo2(A)) ) ).
fof(rc2_fintopo2, axiom,  (? [A] :  (l1_fintopo2(A) &  ( ~ (v2_struct_0(A))  & v1_fintopo2(A)) ) ) ).
fof(t1_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(B, C) => r1_tarski(k8_fin_topo(A, B), k8_fin_topo(A, C))) ) ) ) ) ) ) ).
fof(t2_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k5_fin_topo(A, B)=k9_subset_1(u1_struct_0(A), k9_fin_topo(A, B), k3_subset_1(u1_struct_0(A), k8_fin_topo(A, B)))) ) ) ) ).
fof(t3_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k5_fin_topo(A, B)=k7_subset_1(u1_struct_0(A), k9_fin_topo(A, B), k8_fin_topo(A, B))) ) ) ) ).
fof(t4_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_fin_topo(k3_subset_1(u1_struct_0(A), B), A) => v3_fin_topo(B, A)) ) ) ) ) ).
fof(t5_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_fin_topo(k3_subset_1(u1_struct_0(A), B), A) => v2_fin_topo(B, A)) ) ) ) ) ).
fof(d1_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( ( (r2_tarski(C, k1_fin_topo(A, B)) & r2_tarski(C, D))  => k1_fintopo2(A, B, C, D)=k7_margrel1)  &  ( ~ ( (r2_tarski(C, k1_fin_topo(A, B)) & r2_tarski(C, D)) )  => k1_fintopo2(A, B, C, D)=k6_margrel1) ) ) ) ) ) ) ) ) ) ).
fof(d2_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( ( (r2_tarski(C, k1_fin_topo(A, B)) & r2_tarski(C, k3_subset_1(u1_struct_0(A), D)))  => k2_fintopo2(A, B, C, D)=k7_margrel1)  &  ( ~ ( (r2_tarski(C, k1_fin_topo(A, B)) & r2_tarski(C, k3_subset_1(u1_struct_0(A), D))) )  => k2_fintopo2(A, B, C, D)=k6_margrel1) ) ) ) ) ) ) ) ) ) ).
fof(t6_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (k1_fintopo2(A, B, C, D)=k7_margrel1 <=>  (r2_tarski(C, k1_fin_topo(A, B)) & r2_tarski(C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t7_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (k2_fintopo2(A, B, C, D)=k7_margrel1 <=>  (r2_tarski(C, k1_fin_topo(A, B)) & r2_tarski(C, k3_subset_1(u1_struct_0(A), D))) ) ) ) ) ) ) ) ) ) ).
fof(t8_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(B, k5_fin_topo(A, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (k1_fintopo2(A, B, D, C)=k7_margrel1 & k2_fintopo2(A, B, E, C)=k7_margrel1) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (r2_tarski(C, k1_fin_topo(A, B)) => k3_fintopo2(A, B, C)=k7_margrel1)  &  ( ~ (r2_tarski(C, k1_fin_topo(A, B)))  => k3_fintopo2(A, B, C)=k6_margrel1) ) ) ) ) ) ) ) ).
fof(t9_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k3_fintopo2(A, B, C)=k7_margrel1 <=> r2_tarski(C, k1_fin_topo(A, B))) ) ) ) ) ) ) ).
fof(t10_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(B, k8_fin_topo(A, C)) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k3_fintopo2(A, B, D)=k7_margrel1 => k1_fintopo2(A, B, D, C)=k7_margrel1) ) ) ) ) ) ) ) ) ) ).
fof(t11_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(B, k9_fin_topo(A, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & k1_fintopo2(A, B, D, C)=k7_margrel1) ) ) ) ) ) ) ) ) ).
fof(d4_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r2_tarski(B, C) => k4_fintopo2(A, B, C)=k7_margrel1)  &  ( ~ (r2_tarski(B, C))  => k4_fintopo2(A, B, C)=k6_margrel1) ) ) ) ) ) ) ) ).
fof(t12_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (k4_fintopo2(A, B, C)=k7_margrel1 <=> r2_tarski(B, C)) ) ) ) ) ) ) ).
fof(t13_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(B, k6_fin_topo(A, C)) <=>  ( (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (k1_fintopo2(A, B, D, C)=k7_margrel1 & k2_fintopo2(A, B, E, C)=k7_margrel1) ) ) ) )  & k4_fintopo2(A, B, C)=k7_margrel1) ) ) ) ) ) ) ) ).
fof(t14_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(B, k7_fin_topo(A, C)) <=>  ( (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (k1_fintopo2(A, B, D, C)=k7_margrel1 & k2_fintopo2(A, B, E, C)=k7_margrel1) ) ) ) )  & k4_fintopo2(A, B, C)=k6_margrel1) ) ) ) ) ) ) ) ).
fof(d5_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (B=C => k5_fintopo2(A, B, C)=k7_margrel1)  &  ( ~ (B=C)  => k5_fintopo2(A, B, C)=k6_margrel1) ) ) ) ) ) ) ) ).
fof(t15_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k5_fintopo2(A, B, C)=k7_margrel1 <=> B=C) ) ) ) ) ) ) ).
fof(t16_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(B, k10_fin_topo(A, C)) <=>  (k4_fintopo2(A, B, C)=k7_margrel1 &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (k1_fintopo2(A, B, D, C)=k7_margrel1 & k5_fintopo2(A, B, D)=k6_margrel1) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(B, k11_fin_topo(A, C)) <=>  (k4_fintopo2(A, B, C)=k7_margrel1 &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (k1_fintopo2(A, B, D, C)=k7_margrel1 & k5_fintopo2(A, B, D)=k6_margrel1) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(B, k12_fin_topo(A, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (k4_fintopo2(A, D, C)=k7_margrel1 & k3_fintopo2(A, D, B)=k7_margrel1) ) ) ) ) ) ) ) ) ) ).
fof(d6_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_fintopo2(A, B)=k3_funct_2(u1_struct_0(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))), u1_fintopo2(A), B)) ) ) ) ).
fof(d8_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (v2_fintopo2(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(C, k6_fintopo2(A, B)) => r2_tarski(B, C)) ) ) ) ) ) ) ) ).
fof(t19_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(B, k8_fintopo2(A, C)) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(D, k6_fintopo2(A, B)) =>  ( ~ (r1_xboole_0(D, C))  &  ~ (r1_xboole_0(D, k3_subset_1(u1_struct_0(A), C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(B, k9_fintopo2(A, C)) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_tarski(D, k6_fintopo2(A, B)) & r1_xboole_0(D, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(B, k10_fintopo2(A, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) &  (r2_tarski(D, k6_fintopo2(A, B)) & r1_tarski(D, C)) ) ) ) ) ) ) ) ) ) ).
fof(t22_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(B, k11_fintopo2(A, C)) <=>  (r2_tarski(B, C) &  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) &  (r2_tarski(D, k6_fintopo2(A, B)) & r1_xboole_0(k7_subset_1(u1_struct_0(A), D, k6_domain_1(u1_struct_0(A), B)), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k12_fintopo2(A, B)=k7_subset_1(u1_struct_0(A), B, k11_fintopo2(A, B))) ) ) ) ).
fof(t23_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(B, k12_fintopo2(A, C)) <=>  (r2_tarski(B, C) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_tarski(D, k6_fintopo2(A, B)) & r1_xboole_0(k7_subset_1(u1_struct_0(A), D, k6_domain_1(u1_struct_0(A), B)), C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(B, C) => r1_tarski(k9_fintopo2(A, B), k9_fintopo2(A, C))) ) ) ) ) ) ) ).
fof(t25_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(B, C) => r1_tarski(k10_fintopo2(A, B), k10_fintopo2(A, C))) ) ) ) ) ) ) ).
fof(t26_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k4_subset_1(u1_struct_0(A), k9_fintopo2(A, B), k9_fintopo2(A, C)), k9_fintopo2(A, k4_subset_1(u1_struct_0(A), B, C)))) ) ) ) ) ) ).
fof(t27_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k9_fintopo2(A, k9_subset_1(u1_struct_0(A), B, C)), k9_subset_1(u1_struct_0(A), k9_fintopo2(A, B), k9_fintopo2(A, C)))) ) ) ) ) ) ).
fof(t28_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k4_subset_1(u1_struct_0(A), k10_fintopo2(A, B), k10_fintopo2(A, C)), k10_fintopo2(A, k4_subset_1(u1_struct_0(A), B, C)))) ) ) ) ) ) ).
fof(t29_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k10_fintopo2(A, k9_subset_1(u1_struct_0(A), B, C)), k9_subset_1(u1_struct_0(A), k10_fintopo2(A, B), k10_fintopo2(A, C)))) ) ) ) ) ) ).
fof(t30_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_tarski(C, k6_fintopo2(A, B)) &  (r2_tarski(D, k6_fintopo2(A, B)) &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_tarski(E, k6_fintopo2(A, B)) & r1_tarski(E, k9_subset_1(u1_struct_0(A), C, D))) ) ) ) ) ) ) ) ) ) ) ) )  <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k9_fintopo2(A, k4_subset_1(u1_struct_0(A), B, C))=k4_subset_1(u1_struct_0(A), k9_fintopo2(A, B), k9_fintopo2(A, C))) ) ) ) ) ) ) ).
fof(t31_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_tarski(C, k6_fintopo2(A, B)) &  (r2_tarski(D, k6_fintopo2(A, B)) &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_tarski(E, k6_fintopo2(A, B)) & r1_tarski(E, k9_subset_1(u1_struct_0(A), C, D))) ) ) ) ) ) ) ) ) ) ) ) )  <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k9_subset_1(u1_struct_0(A), k10_fintopo2(A, B), k10_fintopo2(A, C))=k10_fintopo2(A, k9_subset_1(u1_struct_0(A), B, C))) ) ) ) ) ) ) ).
fof(t32_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_tarski(E, k6_fintopo2(A, D)) &  (r2_tarski(F, k6_fintopo2(A, D)) &  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_tarski(G, k6_fintopo2(A, D)) & r1_tarski(G, k9_subset_1(u1_struct_0(A), E, F))) ) ) ) ) ) ) ) ) ) ) ) )  => r1_tarski(k8_fintopo2(A, k4_subset_1(u1_struct_0(A), B, C)), k4_subset_1(u1_struct_0(A), k8_fintopo2(A, B), k8_fintopo2(A, C)))) ) ) ) ) ) ) ).
fof(t33_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  ( (v2_fintopo2(A) &  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k8_fintopo2(A, k4_subset_1(u1_struct_0(A), B, C))=k4_subset_1(u1_struct_0(A), k8_fintopo2(A, B), k8_fintopo2(A, C))) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_tarski(C, k6_fintopo2(A, B)) &  (r2_tarski(D, k6_fintopo2(A, B)) &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_tarski(E, k6_fintopo2(A, B)) & r1_tarski(E, k9_subset_1(u1_struct_0(A), C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(B, k11_fintopo2(A, C)) <=>  (r2_tarski(B, C) &  ~ (r2_tarski(B, k9_fintopo2(A, k7_subset_1(u1_struct_0(A), C, k6_domain_1(u1_struct_0(A), B))))) ) ) ) ) ) ) ) ) ).
fof(t35_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (v2_fintopo2(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(B, k9_fintopo2(A, B))) ) ) ) ) ).
fof(t36_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (v2_fintopo2(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k10_fintopo2(A, B), B)) ) ) ) ) ).
fof(t37_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k3_subset_1(u1_struct_0(A), k9_fintopo2(A, k3_subset_1(u1_struct_0(A), B)))=k10_fintopo2(A, B)) ) ) ) ).
fof(t38_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k3_subset_1(u1_struct_0(A), k10_fintopo2(A, k3_subset_1(u1_struct_0(A), B)))=k9_fintopo2(A, B)) ) ) ) ).
fof(t39_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k8_fintopo2(A, B)=k9_subset_1(u1_struct_0(A), k9_fintopo2(A, B), k9_fintopo2(A, k3_subset_1(u1_struct_0(A), B)))) ) ) ) ).
fof(t40_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k8_fintopo2(A, B)=k9_subset_1(u1_struct_0(A), k9_fintopo2(A, B), k3_subset_1(u1_struct_0(A), k10_fintopo2(A, B)))) ) ) ) ).
fof(t41_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k8_fintopo2(A, B)=k8_fintopo2(A, k3_subset_1(u1_struct_0(A), B))) ) ) ) ).
fof(t42_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k8_fintopo2(A, B)=k7_subset_1(u1_struct_0(A), k9_fintopo2(A, B), k10_fintopo2(A, B))) ) ) ) ).
fof(d14_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k13_fintopo2(A, B)=k9_subset_1(u1_struct_0(A), B, k8_fintopo2(A, B))) ) ) ) ).
fof(d15_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k14_fintopo2(A, B)=k9_subset_1(u1_struct_0(A), k3_subset_1(u1_struct_0(A), B), k8_fintopo2(A, B))) ) ) ) ).
fof(t43_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k8_fintopo2(A, B)=k4_subset_1(u1_struct_0(A), k13_fintopo2(A, B), k14_fintopo2(A, B))) ) ) ) ).
fof(d16_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_fintopo2(B, A) <=> B=k10_fintopo2(A, B)) ) ) ) ) ).
fof(d17_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v4_fintopo2(B, A) <=> B=k9_fintopo2(A, B)) ) ) ) ) ).
fof(t44_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_fintopo2(k3_subset_1(u1_struct_0(A), B), A) => v4_fintopo2(B, A)) ) ) ) ) ).
fof(t45_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v4_fintopo2(k3_subset_1(u1_struct_0(A), B), A) => v3_fintopo2(B, A)) ) ) ) ) ).
fof(t46_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v2_fintopo2(A) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r2_tarski(k6_domain_1(u1_struct_0(A), D), k6_fintopo2(A, D))) ) )  => k9_fintopo2(A, k9_subset_1(u1_struct_0(A), B, C))=k9_subset_1(u1_struct_0(A), k9_fintopo2(A, B), k9_fintopo2(A, C))) ) ) ) ) ) ) ).
fof(t47_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v2_fintopo2(A) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r2_tarski(k6_domain_1(u1_struct_0(A), D), k6_fintopo2(A, D))) ) )  => k4_subset_1(u1_struct_0(A), k10_fintopo2(A, B), k10_fintopo2(A, C))=k10_fintopo2(A, k4_subset_1(u1_struct_0(A), B, C))) ) ) ) ) ) ) ).
fof(dt_k1_fintopo2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) )  => m1_subset_1(k1_fintopo2(A, B, C, D), k5_margrel1)) ) ).
fof(dt_k2_fintopo2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) )  => m1_subset_1(k2_fintopo2(A, B, C, D), k5_margrel1)) ) ).
fof(dt_k3_fintopo2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k3_fintopo2(A, B, C), k5_margrel1)) ) ).
fof(dt_k4_fintopo2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k4_fintopo2(A, B, C), k5_margrel1)) ) ).
fof(dt_k5_fintopo2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k5_fintopo2(A, B, C), k5_margrel1)) ) ).
fof(abstractness_v1_fintopo2, axiom,  (! [A] :  (l1_fintopo2(A) =>  (v1_fintopo2(A) => A=g1_fintopo2(u1_struct_0(A), u1_fintopo2(A))) ) ) ).
fof(dt_l1_fintopo2, axiom,  (! [A] :  (l1_fintopo2(A) => l1_struct_0(A)) ) ).
fof(existence_l1_fintopo2, axiom,  (? [A] : l1_fintopo2(A)) ).
fof(dt_g1_fintopo2, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_zfmisc_1(k1_zfmisc_1(A)))))) )  =>  (v1_fintopo2(g1_fintopo2(A, B)) & l1_fintopo2(g1_fintopo2(A, B))) ) ) ).
fof(free_g1_fintopo2, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_zfmisc_1(k1_zfmisc_1(A)))))) )  =>  (! [C, D] :  (g1_fintopo2(A, B)=g1_fintopo2(C, D) =>  (A=C & B=D) ) ) ) ) ).
fof(dt_u1_fintopo2, axiom,  (! [A] :  (l1_fintopo2(A) =>  (v1_funct_1(u1_fintopo2(A)) &  (v1_funct_2(u1_fintopo2(A), u1_struct_0(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(u1_fintopo2(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))))) ) ) ) ).
fof(dt_k6_fintopo2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k6_fintopo2(A, B), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k7_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  ( ~ (v2_struct_0(k7_fintopo2(A)))  &  (v1_fintopo2(k7_fintopo2(A)) & l1_fintopo2(k7_fintopo2(A))) ) ) ) ).
fof(dt_k8_fintopo2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k8_fintopo2(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k9_fintopo2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k9_fintopo2(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k10_fintopo2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k10_fintopo2(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k11_fintopo2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k11_fintopo2(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k12_fintopo2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k12_fintopo2(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k13_fintopo2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k13_fintopo2(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k14_fintopo2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k14_fintopo2(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(d7_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_fintopo2(B) & l1_fintopo2(B)) )  =>  (B=k7_fintopo2(A) <=>  (u1_struct_0(B)=u1_struct_0(A) &  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k6_fintopo2(B, C)=a_3_0_fintopo2(A, B, C)) ) ) ) ) ) ) ) ).
fof(d9_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k8_fintopo2(A, B)=a_2_0_fintopo2(A, B)) ) ) ) ).
fof(d10_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k9_fintopo2(A, B)=a_2_1_fintopo2(A, B)) ) ) ) ).
fof(d11_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k10_fintopo2(A, B)=a_2_2_fintopo2(A, B)) ) ) ) ).
fof(d12_fintopo2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k11_fintopo2(A, B)=a_2_3_fintopo2(A, B)) ) ) ) ).
fof(fraenkel_a_3_0_fintopo2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  & l1_pre_topc(B))  &  ( ( ~ (v2_struct_0(C))  &  (v1_fintopo2(C) & l1_fintopo2(C)) )  & m1_subset_1(D, u1_struct_0(C))) )  =>  (r2_hidden(A, a_3_0_fintopo2(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) &  (A=E &  (r2_tarski(E, u1_pre_topc(B)) & r2_tarski(D, E)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_fintopo2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l1_fintopo2(B))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_0_fintopo2(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) =>  (r2_tarski(E, k6_fintopo2(B, D)) =>  ( ~ (r1_xboole_0(E, C))  &  ~ (r1_xboole_0(E, k3_subset_1(u1_struct_0(B), C))) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_fintopo2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l1_fintopo2(B))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_1_fintopo2(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) =>  ~ ( (r2_tarski(E, k6_fintopo2(B, D)) & r1_xboole_0(E, C)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_2_fintopo2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l1_fintopo2(B))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_2_fintopo2(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D &  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) &  (r2_tarski(E, k6_fintopo2(B, D)) & r1_tarski(E, C)) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_3_fintopo2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l1_fintopo2(B))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_3_fintopo2(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D &  (r2_tarski(D, C) &  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) &  (r2_tarski(E, k6_fintopo2(B, D)) & r1_xboole_0(k7_subset_1(u1_struct_0(B), E, k6_domain_1(u1_struct_0(B), D)), C)) ) ) ) ) ) ) ) ) ) ).
fof(t1_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_orders_2(A) => r1_tarski(B, k12_fin_topo(A, B))) ) ) ) ) ).
fof(t2_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, k1_fintopo3(A, B)) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(D, k3_subset_1(u1_struct_0(A), B)) & r2_tarski(C, k1_fin_topo(A, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_orders_2(A) => r1_tarski(k1_fintopo3(A, B), B)) ) ) ) ) ).
fof(t4_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k1_fintopo3(A, B)=k3_subset_1(u1_struct_0(A), k12_fin_topo(A, k3_subset_1(u1_struct_0(A), B)))) ) ) ) ).
fof(t5_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(B, C) => r1_tarski(k12_fin_topo(A, B), k12_fin_topo(A, C))) ) ) ) ) ) ) ).
fof(t6_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(B, C) => r1_tarski(k1_fintopo3(A, B), k1_fintopo3(A, C))) ) ) ) ) ) ) ).
fof(t7_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k9_fin_topo(A, k9_subset_1(u1_struct_0(A), B, C)), k9_subset_1(u1_struct_0(A), k9_fin_topo(A, B), k9_fin_topo(A, C)))) ) ) ) ) ) ).
fof(t8_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k9_fin_topo(A, k4_subset_1(u1_struct_0(A), B, C))=k4_subset_1(u1_struct_0(A), k9_fin_topo(A, B), k9_fin_topo(A, C))) ) ) ) ) ) ).
fof(t9_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k4_subset_1(u1_struct_0(A), k8_fin_topo(A, B), k8_fin_topo(A, C)), k8_fin_topo(A, k4_subset_1(u1_struct_0(A), B, C)))) ) ) ) ) ) ).
fof(t10_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k9_subset_1(u1_struct_0(A), k8_fin_topo(A, B), k8_fin_topo(A, C))=k8_fin_topo(A, k9_subset_1(u1_struct_0(A), B, C))) ) ) ) ) ) ).
fof(t11_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k4_subset_1(u1_struct_0(A), k12_fin_topo(A, B), k12_fin_topo(A, C))=k12_fin_topo(A, k4_subset_1(u1_struct_0(A), B, C))) ) ) ) ) ) ).
fof(t12_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k9_subset_1(u1_struct_0(A), k1_fintopo3(A, B), k1_fintopo3(A, C))=k1_fintopo3(A, k9_subset_1(u1_struct_0(A), B, C))) ) ) ) ) ) ).
fof(d2_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(u1_struct_0(A)))))) )  =>  (C=k2_fintopo3(A, B) <=>  ( (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  (E=k1_funct_1(C, D) => k3_funct_2(k4_ordinal1, k1_zfmisc_1(u1_struct_0(A)), C, k1_nat_1(D, 1))=k9_fin_topo(A, E)) ) ) ) )  & k3_funct_2(k4_ordinal1, k1_zfmisc_1(u1_struct_0(A)), C, k5_numbers)=B) ) ) ) ) ) ) ) ).
fof(d3_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (v7_ordinal1(C) => k3_fintopo3(A, B, C)=k1_funct_1(k2_fintopo3(A, B), C)) ) ) ) ) ) ).
fof(d4_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(u1_struct_0(A)))))) )  =>  (C=k4_fintopo3(A, B) <=>  ( (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  (E=k1_funct_1(C, D) => k3_funct_2(k4_ordinal1, k1_zfmisc_1(u1_struct_0(A)), C, k1_nat_1(D, 1))=k8_fin_topo(A, E)) ) ) ) )  & k3_funct_2(k4_ordinal1, k1_zfmisc_1(u1_struct_0(A)), C, k5_numbers)=B) ) ) ) ) ) ) ) ).
fof(d5_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (v7_ordinal1(C) => k5_fintopo3(A, B, C)=k1_funct_1(k4_fintopo3(A, B), C)) ) ) ) ) ) ).
fof(t13_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (v7_ordinal1(C) => k3_fintopo3(A, B, k1_nat_1(C, 1))=k9_fin_topo(A, k3_fintopo3(A, B, C))) ) ) ) ) ) ).
fof(t14_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k3_fintopo3(A, B, k5_numbers)=B) ) ) ) ).
fof(t15_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k3_fintopo3(A, B, 1)=k9_fin_topo(A, B)) ) ) ) ).
fof(t16_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k3_fintopo3(A, B, 2)=k9_fin_topo(A, k9_fin_topo(A, B))) ) ) ) ).
fof(t17_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (v7_ordinal1(D) => k3_fintopo3(A, k4_subset_1(u1_struct_0(A), B, C), D)=k4_subset_1(u1_struct_0(A), k3_fintopo3(A, B, D), k3_fintopo3(A, C, D))) ) ) ) ) ) ) ) ).
fof(t18_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (v7_ordinal1(C) => k5_fintopo3(A, B, k1_nat_1(C, 1))=k8_fin_topo(A, k5_fintopo3(A, B, C))) ) ) ) ) ) ).
fof(t19_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k5_fintopo3(A, B, k5_numbers)=B) ) ) ) ).
fof(t20_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k5_fintopo3(A, B, 1)=k8_fin_topo(A, B)) ) ) ) ).
fof(t21_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k5_fintopo3(A, B, 2)=k8_fin_topo(A, k8_fin_topo(A, B))) ) ) ) ).
fof(t22_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (v7_ordinal1(D) => k5_fintopo3(A, k9_subset_1(u1_struct_0(A), B, C), D)=k9_subset_1(u1_struct_0(A), k5_fintopo3(A, B, D), k5_fintopo3(A, C, D))) ) ) ) ) ) ) ) ).
fof(t23_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_orders_2(A) =>  (! [C] :  (v7_ordinal1(C) => r1_tarski(B, k3_fintopo3(A, B, C))) ) ) ) ) ) ) ).
fof(t24_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_orders_2(A) =>  (! [C] :  (v7_ordinal1(C) => r1_tarski(k5_fintopo3(A, B, C), B)) ) ) ) ) ) ) ).
fof(t25_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_orders_2(A) =>  (! [C] :  (v7_ordinal1(C) => r1_tarski(k3_fintopo3(A, B, C), k3_fintopo3(A, B, k1_nat_1(C, 1)))) ) ) ) ) ) ) ).
fof(t26_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_orders_2(A) =>  (! [C] :  (v7_ordinal1(C) => r1_tarski(k5_fintopo3(A, B, k1_nat_1(C, 1)), k5_fintopo3(A, B, C))) ) ) ) ) ) ) ).
fof(t27_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (v7_ordinal1(C) => k3_subset_1(u1_struct_0(A), k5_fintopo3(A, k3_subset_1(u1_struct_0(A), B), C))=k3_fintopo3(A, B, C)) ) ) ) ) ) ).
fof(t28_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (v7_ordinal1(C) => k3_subset_1(u1_struct_0(A), k3_fintopo3(A, k3_subset_1(u1_struct_0(A), B), C))=k5_fintopo3(A, B, C)) ) ) ) ) ) ).
fof(t29_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (v7_ordinal1(D) => k4_subset_1(u1_struct_0(A), k3_fintopo3(A, B, D), k3_fintopo3(A, C, D))=k3_subset_1(u1_struct_0(A), k5_fintopo3(A, k3_subset_1(u1_struct_0(A), k4_subset_1(u1_struct_0(A), B, C)), D))) ) ) ) ) ) ) ) ).
fof(t30_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (v7_ordinal1(D) => k9_subset_1(u1_struct_0(A), k5_fintopo3(A, B, D), k5_fintopo3(A, C, D))=k3_subset_1(u1_struct_0(A), k3_fintopo3(A, k3_subset_1(u1_struct_0(A), k9_subset_1(u1_struct_0(A), B, C)), D))) ) ) ) ) ) ) ) ).
fof(d6_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(u1_struct_0(A)))))) )  =>  (C=k6_fintopo3(A, B) <=>  ( (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  (E=k1_funct_1(C, D) => k3_funct_2(k4_ordinal1, k1_zfmisc_1(u1_struct_0(A)), C, k1_nat_1(D, 1))=k12_fin_topo(A, E)) ) ) ) )  & k3_funct_2(k4_ordinal1, k1_zfmisc_1(u1_struct_0(A)), C, k5_numbers)=B) ) ) ) ) ) ) ) ).
fof(d7_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (v7_ordinal1(C) => k7_fintopo3(A, B, C)=k1_funct_1(k6_fintopo3(A, B), C)) ) ) ) ) ) ).
fof(d8_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(u1_struct_0(A)))))) )  =>  (C=k8_fintopo3(A, B) <=>  ( (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  (E=k1_funct_1(C, D) => k3_funct_2(k4_ordinal1, k1_zfmisc_1(u1_struct_0(A)), C, k1_nat_1(D, 1))=k1_fintopo3(A, E)) ) ) ) )  & k3_funct_2(k4_ordinal1, k1_zfmisc_1(u1_struct_0(A)), C, k5_numbers)=B) ) ) ) ) ) ) ) ).
fof(d9_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (v7_ordinal1(C) => k9_fintopo3(A, B, C)=k1_funct_1(k8_fintopo3(A, B), C)) ) ) ) ) ) ).
fof(t31_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (v7_ordinal1(C) => k7_fintopo3(A, B, k1_nat_1(C, 1))=k12_fin_topo(A, k7_fintopo3(A, B, C))) ) ) ) ) ) ).
fof(t32_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k7_fintopo3(A, B, k5_numbers)=B) ) ) ) ).
fof(t33_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k7_fintopo3(A, B, 1)=k12_fin_topo(A, B)) ) ) ) ).
fof(t34_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k7_fintopo3(A, B, 2)=k12_fin_topo(A, k12_fin_topo(A, B))) ) ) ) ).
fof(t35_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (v7_ordinal1(D) => k7_fintopo3(A, k4_subset_1(u1_struct_0(A), B, C), D)=k4_subset_1(u1_struct_0(A), k7_fintopo3(A, B, D), k7_fintopo3(A, C, D))) ) ) ) ) ) ) ) ).
fof(t36_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_orders_2(A) =>  (! [C] :  (v7_ordinal1(C) => r1_tarski(B, k7_fintopo3(A, B, C))) ) ) ) ) ) ) ).
fof(t37_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_orders_2(A) =>  (! [C] :  (v7_ordinal1(C) => r1_tarski(k7_fintopo3(A, B, C), k7_fintopo3(A, B, k1_nat_1(C, 1)))) ) ) ) ) ) ) ).
fof(t38_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (v7_ordinal1(C) => k9_fintopo3(A, B, k1_nat_1(C, 1))=k1_fintopo3(A, k9_fintopo3(A, B, C))) ) ) ) ) ) ).
fof(t39_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k9_fintopo3(A, B, k5_numbers)=B) ) ) ) ).
fof(t40_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k9_fintopo3(A, B, 1)=k1_fintopo3(A, B)) ) ) ) ).
fof(t41_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k9_fintopo3(A, B, 2)=k1_fintopo3(A, k1_fintopo3(A, B))) ) ) ) ).
fof(t42_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (v7_ordinal1(D) => k9_fintopo3(A, k9_subset_1(u1_struct_0(A), B, C), D)=k9_subset_1(u1_struct_0(A), k9_fintopo3(A, B, D), k9_fintopo3(A, C, D))) ) ) ) ) ) ) ) ).
fof(t43_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_orders_2(A) =>  (! [C] :  (v7_ordinal1(C) => r1_tarski(k9_fintopo3(A, B, C), B)) ) ) ) ) ) ) ).
fof(t44_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_orders_2(A) =>  (! [C] :  (v7_ordinal1(C) => r1_tarski(k9_fintopo3(A, B, k1_nat_1(C, 1)), k9_fintopo3(A, B, C))) ) ) ) ) ) ) ).
fof(t45_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (v7_ordinal1(C) => k9_fintopo3(A, B, C)=k3_subset_1(u1_struct_0(A), k7_fintopo3(A, k3_subset_1(u1_struct_0(A), B), C))) ) ) ) ) ) ).
fof(t46_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (v7_ordinal1(D) => k9_subset_1(u1_struct_0(A), k9_fintopo3(A, B, D), k9_fintopo3(A, C, D))=k3_subset_1(u1_struct_0(A), k7_fintopo3(A, k3_subset_1(u1_struct_0(A), k9_subset_1(u1_struct_0(A), B, C)), D))) ) ) ) ) ) ) ) ).
fof(d10_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k10_fintopo3(A, B, C)=k7_fintopo3(A, k1_fin_topo(A, C), B)) ) ) ) ) ) ).
fof(t47_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k10_fintopo3(A, k5_numbers, B)=k1_fin_topo(A, B)) ) ) ) ).
fof(t48_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) => k10_fintopo3(A, k1_nat_1(C, 1), B)=k12_fin_topo(A, k10_fintopo3(A, C, B))) ) ) ) ) ) ).
fof(d11_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  =>  (r1_fintopo3(A, B) <=>  (u1_struct_0(A)=u1_struct_0(B) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r2_tarski(D, k1_fin_topo(A, C)) <=> r2_tarski(C, k1_fin_topo(B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_fintopo3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k1_fintopo3(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k2_fintopo3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_funct_1(k2_fintopo3(A, B)) &  (v1_funct_2(k2_fintopo3(A, B), k4_ordinal1, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(k2_fintopo3(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(u1_struct_0(A)))))) ) ) ) ).
fof(dt_k3_fintopo3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v7_ordinal1(C)) )  => m1_subset_1(k3_fintopo3(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k4_fintopo3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_funct_1(k4_fintopo3(A, B)) &  (v1_funct_2(k4_fintopo3(A, B), k4_ordinal1, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(k4_fintopo3(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(u1_struct_0(A)))))) ) ) ) ).
fof(dt_k5_fintopo3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v7_ordinal1(C)) )  => m1_subset_1(k5_fintopo3(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k6_fintopo3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_funct_1(k6_fintopo3(A, B)) &  (v1_funct_2(k6_fintopo3(A, B), k4_ordinal1, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(k6_fintopo3(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(u1_struct_0(A)))))) ) ) ) ).
fof(dt_k7_fintopo3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v7_ordinal1(C)) )  => m1_subset_1(k7_fintopo3(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k8_fintopo3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_funct_1(k8_fintopo3(A, B)) &  (v1_funct_2(k8_fintopo3(A, B), k4_ordinal1, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(k8_fintopo3(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(u1_struct_0(A)))))) ) ) ) ).
fof(dt_k9_fintopo3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v7_ordinal1(C)) )  => m1_subset_1(k9_fintopo3(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k10_fintopo3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  &  (v7_ordinal1(B) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k10_fintopo3(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(symmetry_r1_fintopo3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  &  ( ~ (v2_struct_0(B))  & l1_orders_2(B)) )  =>  (r1_fintopo3(A, B) => r1_fintopo3(B, A)) ) ) ).
fof(d1_fintopo3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k1_fintopo3(A, B)=a_2_0_fintopo3(A, B)) ) ) ) ).
fof(fraenkel_a_2_0_fintopo3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_0_fintopo3(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D &  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  ~ ( (r2_tarski(E, k3_subset_1(u1_struct_0(B), C)) & r2_tarski(D, k1_fin_topo(B, E))) ) ) ) ) ) ) ) ) ) ).
fof(d1_fintopo4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_fintopo4(A, B, C) <=>  (r1_xboole_0(k9_fin_topo(A, B), C) & r1_xboole_0(B, k9_fin_topo(A, C))) ) ) ) ) ) ) ) ).
fof(t1_fintopo4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r1_xxreal_0(C, D) => r1_tarski(k7_fintopo3(A, B, C), k7_fintopo3(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t2_fintopo4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r1_xxreal_0(C, D) => r1_tarski(k3_fintopo3(A, B, C), k3_fintopo3(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t3_fintopo4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r1_xxreal_0(C, D) => r1_tarski(k9_fintopo3(A, B, D), k9_fintopo3(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t4_fintopo4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r1_xxreal_0(C, D) => r1_tarski(k5_fintopo3(A, B, D), k5_fintopo3(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t5_fintopo4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_fintopo4(A, B, C) => r1_fintopo4(A, C, B)) ) ) ) ) ) ) ).
fof(t6_fintopo4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_fintopo4(A, B, C) => r1_xboole_0(B, C)) ) ) ) ) ) ) ).
fof(t7_fintopo4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_fin_topo(A) =>  (r1_fintopo4(A, B, C) <=>  (r1_xboole_0(k12_fin_topo(A, B), C) & r1_xboole_0(B, k12_fin_topo(A, C))) ) ) ) ) ) ) ) ) ).
fof(t8_fintopo4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_fin_topo(A) & r1_xboole_0(k9_fin_topo(A, B), C))  => r1_xboole_0(B, k9_fin_topo(A, C))) ) ) ) ) ) ) ).
fof(t9_fintopo4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_fin_topo(A) & r1_xboole_0(B, k9_fin_topo(A, C)))  => r1_xboole_0(k9_fin_topo(A, B), C)) ) ) ) ) ) ) ).
fof(t10_fintopo4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_fin_topo(A) =>  (r1_fintopo4(A, B, C) <=> r1_xboole_0(k9_fin_topo(A, B), C)) ) ) ) ) ) ) ) ).
fof(t11_fintopo4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_fin_topo(A) =>  (r1_fintopo4(A, B, C) <=> r1_xboole_0(B, k9_fin_topo(A, C))) ) ) ) ) ) ) ) ).
fof(t12_fintopo4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_fin_topo(A) =>  (v4_fin_topo(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (B=k4_subset_1(u1_struct_0(A), C, D) &  (r1_fintopo4(A, C, D) &  ( ~ (C=B)  &  ~ (D=B) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_fintopo4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_fin_topo(A) =>  (v4_fin_topo(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( ~ (C=k1_xboole_0)  &  ( ~ (k7_subset_1(u1_struct_0(A), B, C)=k1_xboole_0)  &  (r1_tarski(C, B) & r1_xboole_0(k9_fin_topo(A, C), k7_subset_1(u1_struct_0(A), B, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_fintopo4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  (v7_ordinal1(D) =>  (r2_fintopo4(A, B, C, D) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( (r2_tarski(E, u1_struct_0(A)) & F=k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, E))  => r1_tarski(k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, k10_fintopo3(A, k5_numbers, E)), k10_fintopo3(B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_fintopo4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) & l1_orders_2(B)) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (r2_fintopo4(A, B, D, k5_numbers) => r2_fintopo4(A, B, D, C)) ) ) ) ) ) ) ) ) ).
fof(t15_fintopo4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) & l1_orders_2(B)) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ( (r2_fintopo4(A, B, E, C) & r1_xxreal_0(C, D))  => r2_fintopo4(A, B, E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_fintopo4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ( (r2_fintopo4(A, B, E, k5_numbers) & D=k7_relset_1(u1_struct_0(A), u1_struct_0(B), E, C))  => r1_tarski(k7_relset_1(u1_struct_0(A), u1_struct_0(B), E, k9_fin_topo(A, C)), k9_fin_topo(B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_fintopo4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ( (v4_fin_topo(C, A) &  (r2_fintopo4(A, B, E, k5_numbers) & D=k7_relset_1(u1_struct_0(A), u1_struct_0(B), E, C)) )  => v4_fin_topo(D, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_fintopo4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(A)))) =>  (B=k1_fintopo4(A) <=>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r2_tarski(C, k2_finseq_1(A)) => k9_relat_1(B, C)=k1_enumset1(C, k5_nat_1(k7_nat_d(C, 1), 1), k3_xxreal_0(k1_nat_1(C, 1), A))) ) ) ) ) ) ) ) ).
fof(d4_fintopo4, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k2_fintopo4(A)=g1_orders_2(k2_finseq_1(A), k1_fintopo4(A))) ) ) ).
fof(t18_fintopo4, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => v3_orders_2(k2_fintopo4(A))) ) ) ).
fof(t19_fintopo4, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => v1_fin_topo(k2_fintopo4(A))) ) ) ).
fof(d5_fintopo4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(A)))) =>  (B=k3_fintopo4(A) <=>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r2_tarski(C, k2_finseq_1(A)) =>  ( ~ ( ( ~ (r1_xxreal_0(C, 1))  &  ( ~ (r1_xxreal_0(A, C))  &  ~ (k9_relat_1(B, C)=k1_enumset1(C, k7_nat_d(C, 1), k1_nat_1(C, 1))) ) ) )  &  ( (C=1 =>  (r1_xxreal_0(A, C) | k9_relat_1(B, C)=k1_enumset1(C, A, k1_nat_1(C, 1))) )  &  ( (C=A =>  (r1_xxreal_0(C, 1) | k9_relat_1(B, C)=k1_enumset1(C, k7_nat_d(C, 1), 1)) )  &  ( (C=1 & C=A)  => k9_relat_1(B, C)=k1_tarski(C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_fintopo4, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k4_fintopo4(A)=g1_orders_2(k2_finseq_1(A), k3_fintopo4(A))) ) ) ).
fof(t20_fintopo4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => v3_orders_2(k4_fintopo4(A))) ) ) ).
fof(t21_fintopo4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => v1_fin_topo(k4_fintopo4(A))) ) ) ).
fof(symmetry_r1_fintopo4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (r1_fintopo4(A, B, C) => r1_fintopo4(A, C, B)) ) ) ).
fof(dt_k1_fintopo4, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k1_fintopo4(A), k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(A))))) ) ).
fof(dt_k2_fintopo4, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (v2_struct_0(k2_fintopo4(A)))  & l1_orders_2(k2_fintopo4(A))) ) ) ).
fof(dt_k3_fintopo4, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k3_fintopo4(A), k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(A))))) ) ).
fof(dt_k4_fintopo4, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (v2_struct_0(k4_fintopo4(A)))  & l1_orders_2(k4_fintopo4(A))) ) ) ).
fof(fc1_fintopo5, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ( ~ (v2_struct_0(k3_fintopo5(A, B)))  & v1_orders_2(k3_fintopo5(A, B))) ) ) ).
fof(fc2_fintopo5, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ( ~ (v2_struct_0(k5_fintopo5(A, B)))  & v1_orders_2(k5_fintopo5(A, B))) ) ) ).
fof(t1_fintopo5, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (v2_funct_1(C) => k7_relat_1(k2_funct_1(C), k7_relset_1(A, B, C, D))=D) ) ) ) ) ) ) ) ).
fof(t2_fintopo5, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  & k2_finseq_1(A)=k1_xboole_0) )  &  ~ ( ( ~ (k2_finseq_1(A)=k1_xboole_0)  & r1_xxreal_0(A, k5_numbers)) ) ) ) ) ).
fof(d1_fintopo5, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (l1_orders_2(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v1_fintopo5(C, A, B) <=>  (v2_funct_1(C) &  (v2_funct_2(C, u1_struct_0(B)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, k1_fin_topo(A, D))=k9_relat_1(u1_orders_2(B), k1_funct_1(C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_fintopo5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ~ ( (v1_fintopo5(C, A, B) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  ~ ( (D=k2_funct_1(C) & v1_fintopo5(D, B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_fintopo5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( (v1_fintopo5(C, A, B) & F=k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, E))  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r2_tarski(G, k10_fintopo3(A, D, E)) <=> r2_tarski(k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, G), k10_fintopo3(B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_fintopo5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( (v1_fintopo5(C, A, B) & F=k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, E))  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (r2_tarski(k1_funct_1(k2_funct_1(C), G), k10_fintopo3(A, D, E)) <=> r2_tarski(G, k10_fintopo3(B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_fintopo5, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k2_fintopo4(A)), u1_struct_0(k2_fintopo4(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_fintopo4(A)), u1_struct_0(k2_fintopo4(A)))))) )  =>  ~ ( (r2_fintopo4(k2_fintopo4(A), k2_fintopo4(A), B, k5_numbers) &  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_fintopo4(A))) =>  ~ (r2_tarski(k3_funct_2(u1_struct_0(k2_fintopo4(A)), u1_struct_0(k2_fintopo4(A)), B, C), k10_fintopo3(k2_fintopo4(A), k5_numbers, C))) ) ) ) ) ) ) ) ) ).
fof(t7_fintopo5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (v3_orders_2(A) => r1_tarski(k10_fintopo3(A, C, B), k10_fintopo3(A, k1_nat_1(C, 1), B))) ) ) ) ) ) ) ).
fof(t8_fintopo5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (v3_orders_2(A) => r1_tarski(k10_fintopo3(A, k5_numbers, B), k10_fintopo3(A, C, B))) ) ) ) ) ) ) ).
fof(t9_fintopo5, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_fintopo4(A))) =>  (E=B =>  (r2_tarski(C, k10_fintopo3(k2_fintopo4(A), D, E)) <=>  (r2_tarski(C, k2_finseq_1(A)) & r1_xxreal_0(k9_complex1(k6_xcmplx_0(B, C)), k1_nat_1(D, 1))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_fintopo5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k2_fintopo4(C)), u1_struct_0(k2_fintopo4(C))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_fintopo4(C)), u1_struct_0(k2_fintopo4(C)))))) )  =>  ~ ( (r2_fintopo4(k2_fintopo4(C), k2_fintopo4(C), D, A) &  (B=k2_int_1(k7_xcmplx_0(A, 2)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_fintopo4(C))) =>  ~ (r2_tarski(k3_funct_2(u1_struct_0(k2_fintopo4(C)), u1_struct_0(k2_fintopo4(C)), D, E), k10_fintopo3(k2_fintopo4(C), B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_fintopo5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(B)), k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(B))))) =>  (C=k2_fintopo5(A, B) <=>  (! [D] :  (r2_tarski(D, k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(B))) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (D=k4_tarski(E, F) => k1_fintopo5(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(B)), k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(B)), C, D)=k2_zfmisc_1(k1_fintopo5(k2_finseq_1(A), k2_finseq_1(A), k1_fintopo4(A), E), k1_fintopo5(k2_finseq_1(B), k2_finseq_1(B), k1_fintopo4(B), F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_fintopo5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k3_fintopo5(A, B)=g1_orders_2(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(B)), k2_fintopo5(A, B))) ) ) ) ).
fof(t11_fintopo5, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  => v3_orders_2(k3_fintopo5(A, B))) ) ) ) ).
fof(t12_fintopo5, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  => v1_fin_topo(k3_fintopo5(A, B))) ) ) ) ).
fof(t13_fintopo5, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k3_fintopo5(A, 1)), u1_struct_0(k2_fintopo4(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_fintopo5(A, 1)), u1_struct_0(k2_fintopo4(A)))))) )  & v1_fintopo5(B, k3_fintopo5(A, 1), k2_fintopo4(A))) ) ) ) ).
fof(d4_fintopo5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(B)), k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(B))))) =>  (C=k4_fintopo5(A, B) <=>  (! [D] :  (r2_tarski(D, k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(B))) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (D=k4_tarski(E, F) => k1_fintopo5(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(B)), k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(B)), C, D)=k2_xboole_0(k2_zfmisc_1(k1_tarski(E), k1_fintopo5(k2_finseq_1(B), k2_finseq_1(B), k1_fintopo4(B), F)), k2_zfmisc_1(k1_fintopo5(k2_finseq_1(A), k2_finseq_1(A), k1_fintopo4(A), E), k1_tarski(F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_fintopo5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k5_fintopo5(A, B)=g1_orders_2(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(B)), k4_fintopo5(A, B))) ) ) ) ).
fof(t14_fintopo5, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  => v3_orders_2(k5_fintopo5(A, B))) ) ) ) ).
fof(t15_fintopo5, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  => v1_fin_topo(k5_fintopo5(A, B))) ) ) ) ).
fof(t16_fintopo5, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k5_fintopo5(A, 1)), u1_struct_0(k2_fintopo4(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_fintopo5(A, 1)), u1_struct_0(k2_fintopo4(A)))))) )  & v1_fintopo5(B, k5_fintopo5(A, 1), k2_fintopo4(A))) ) ) ) ).
fof(dt_k1_fintopo5, axiom,  (! [A, B, C, D] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => m1_subset_1(k1_fintopo5(A, B, C, D), k1_zfmisc_1(B))) ) ).
fof(redefinition_k1_fintopo5, axiom,  (! [A, B, C, D] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => k1_fintopo5(A, B, C, D)=k9_relat_1(C, D)) ) ).
fof(dt_k2_fintopo5, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => m1_subset_1(k2_fintopo5(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(B)), k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(B)))))) ) ).
fof(dt_k3_fintopo5, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  =>  (v1_orders_2(k3_fintopo5(A, B)) & l1_orders_2(k3_fintopo5(A, B))) ) ) ).
fof(dt_k4_fintopo5, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => m1_subset_1(k4_fintopo5(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(B)), k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(B)))))) ) ).
fof(dt_k5_fintopo5, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  =>  (v1_orders_2(k5_fintopo5(A, B)) & l1_orders_2(k5_fintopo5(A, B))) ) ) ).
fof(cc1_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_xboole_0(B) => v4_fin_topo(B, A)) ) ) ) ) ).
fof(fc1_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  => v1_xboole_0(k9_fin_topo(A, k1_struct_0(A)))) ) ).
fof(rc1_fintopo6, axiom,  (! [A] :  (l1_orders_2(A) =>  (? [B] :  (m1_fintopo6(B, A) & v1_orders_2(B)) ) ) ) ).
fof(rc2_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (? [B] :  (m1_fintopo6(B, A) &  ( ~ (v2_struct_0(B))  & v1_orders_2(B)) ) ) ) ) ).
fof(cc2_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_fintopo6(B, A) =>  ( ~ (v2_struct_0(B))  =>  ( ~ (v2_struct_0(B))  & v3_orders_2(B)) ) ) ) ) ) ).
fof(fc2_fintopo6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  & m1_subset_1(B, u1_struct_0(A)))  => v4_fin_topo(k1_tarski(B), A)) ) ).
fof(fc3_fintopo6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  & m1_subset_1(B, u1_struct_0(A)))  => v2_fintopo6(k5_finseq_1(B), A)) ) ).
fof(cc3_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_xboole_0(B) => v3_fintopo6(B, A)) ) ) ) ) ).
fof(fc4_fintopo6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  & m1_subset_1(B, u1_struct_0(A)))  => v3_fintopo6(k1_tarski(B), A)) ) ).
fof(t2_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  => k9_fin_topo(A, k1_struct_0(A))=k1_xboole_0) ) ).
fof(t3_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (B=k4_subset_1(u1_struct_0(A), C, D) & r1_xboole_0(C, D))  =>  (C=k1_xboole_0 |  (D=k1_xboole_0 |  ( ~ (r1_xboole_0(k9_fin_topo(A, C), D))  &  ~ (r1_xboole_0(C, k9_fin_topo(A, D))) ) ) ) ) ) ) ) )  => v4_fin_topo(B, A)) ) ) ) ) ).
fof(d1_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (v1_fintopo6(A) <=> v4_fin_topo(k2_struct_0(A), A)) ) ) ).
fof(t4_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v4_fin_topo(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (B=k4_subset_1(u1_struct_0(A), C, D) &  (r1_xboole_0(C, D) &  (r1_fintopo4(A, C, D) &  ( ~ (C=k1_struct_0(A))  &  ~ (D=k1_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (v1_fintopo6(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (k2_struct_0(A)=k4_subset_1(u1_struct_0(A), B, C) &  (r1_xboole_0(B, C) &  (r1_fintopo4(A, B, C) &  ( ~ (B=k1_struct_0(A))  &  ~ (C=k1_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_fin_topo(A) & r1_xboole_0(k9_fin_topo(A, B), C))  => r1_xboole_0(B, k9_fin_topo(A, C))) ) ) ) ) ) ) ).
fof(t7_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_fin_topo(A) &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (B=k4_subset_1(u1_struct_0(A), C, D) &  (r1_xboole_0(C, D) &  (r1_fintopo4(A, C, D) &  ( ~ (C=k1_struct_0(A))  &  ~ (D=k1_struct_0(A)) ) ) ) ) ) ) ) ) ) )  => v4_fin_topo(B, A)) ) ) ) ) ).
fof(d2_fintopo6, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (l1_orders_2(B) =>  (m1_fintopo6(B, A) <=>  (r1_tarski(u1_struct_0(B), u1_struct_0(A)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (r2_tarski(C, u1_struct_0(B)) => k1_fin_topo(B, C)=k3_xboole_0(k9_relat_1(u1_orders_2(A), C), u1_struct_0(B))) ) ) ) ) ) ) ) ) ).
fof(d3_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v1_orders_2(C) & m1_fintopo6(C, A)) )  =>  (C=k1_fintopo6(A, B) <=> k2_struct_0(C)=B) ) ) ) ) ) ) ).
fof(t8_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m1_fintopo6(B, A))  =>  (v3_orders_2(A) => v3_orders_2(B)) ) ) ) ) ).
fof(t9_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m1_fintopo6(B, A))  =>  (v1_fin_topo(A) => v1_fin_topo(B)) ) ) ) ) ).
fof(t10_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_fintopo6(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) => m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ).
fof(t11_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_fin_topo(B, A) <=> v2_fin_topo(k3_subset_1(u1_struct_0(A), B), A)) ) ) ) ) ).
fof(t12_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_fin_topo(B, A) <=>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_tarski(k1_fin_topo(A, C), B) => r2_tarski(C, B)) ) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) => r1_tarski(k1_fin_topo(A, C), B)) ) ) ) ) ) ) ) ) ).
fof(t13_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m1_fintopo6(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (C=D => k9_fin_topo(B, D)=k9_subset_1(u1_struct_0(B), k9_fin_topo(A, C), k2_struct_0(B))) ) ) ) ) ) ) ) ) ).
fof(t14_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m1_fintopo6(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(B))) =>  ( (E=C &  (F=D & r1_fintopo4(B, E, F)) )  => r1_fintopo4(A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m1_fintopo6(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(B))) =>  ( (C=E &  (D=F &  (r1_tarski(k4_subset_1(u1_struct_0(A), C, D), k2_struct_0(B)) & r1_fintopo4(A, C, D)) ) )  => r1_fintopo4(B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v4_fin_topo(B, A) <=> v1_fintopo6(k1_fintopo6(A, B))) ) ) ) ) ).
fof(t17_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_fin_topo(A) =>  (v4_fin_topo(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (B=k4_subset_1(u1_struct_0(A), C, D) &  (r1_xboole_0(C, D) &  (r1_fintopo4(A, C, D) &  ( ~ (C=k1_struct_0(A))  &  ~ (D=k1_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v3_orders_2(A) &  (v1_fintopo6(A) &  ( ~ (B=k1_xboole_0)  &  ( ~ (k3_subset_1(u1_struct_0(A), B)=k1_xboole_0)  & k5_fin_topo(A, B)=k1_xboole_0) ) ) ) ) ) ) ) ) ).
fof(t19_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v3_orders_2(A) &  (v1_fin_topo(A) &  (v1_fintopo6(A) &  ( ~ (B=k1_xboole_0)  &  ( ~ (k3_subset_1(u1_struct_0(A), B)=k1_xboole_0)  & k6_fin_topo(A, B)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ).
fof(t20_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v3_orders_2(A) &  (v1_fin_topo(A) &  (v1_fintopo6(A) &  ( ~ (B=k1_xboole_0)  &  ( ~ (k3_subset_1(u1_struct_0(A), B)=k1_xboole_0)  & k7_fin_topo(A, B)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ).
fof(t21_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => r1_xboole_0(k6_fin_topo(A, B), k7_fin_topo(A, B))) ) ) ) ).
fof(t22_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k7_fin_topo(A, B)=k7_subset_1(u1_struct_0(A), k9_fin_topo(A, B), B)) ) ) ) ).
fof(t23_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_fintopo4(A, B, C) => r1_xboole_0(k7_fin_topo(A, B), C)) ) ) ) ) ) ) ).
fof(t24_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v3_orders_2(A) &  (r1_xboole_0(B, C) &  (r1_xboole_0(k7_fin_topo(A, B), C) & r1_xboole_0(k7_fin_topo(A, C), B)) ) )  => r1_fintopo4(A, B, C)) ) ) ) ) ) ) ).
fof(t25_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v4_fin_topo(k6_domain_1(u1_struct_0(A), B), A)) ) ) ) ).
fof(d4_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_fintopo6(A, B) <=>  (v4_fin_topo(B, A) &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v4_fin_topo(C, A) & r1_tarski(B, C))  => B=C) ) ) ) ) ) ) ) ) ).
fof(t26_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r1_fintopo6(A, B) & B=k1_struct_0(A)) ) ) ) ) ) ).
fof(t27_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v3_fin_topo(B, A) &  (v3_fin_topo(C, A) & r1_xboole_0(B, C)) )  => r1_fintopo4(A, B, C)) ) ) ) ) ) ) ).
fof(t28_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v3_orders_2(A) &  (k2_struct_0(A)=k4_subset_1(u1_struct_0(A), B, C) & r1_fintopo4(A, B, C)) )  =>  (v2_fin_topo(B, A) & v3_fin_topo(B, A)) ) ) ) ) ) ) ) ).
fof(t29_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r1_fintopo4(A, B, C) &  (r1_tarski(D, B) & r1_tarski(E, C)) )  => r1_fintopo4(A, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r1_fintopo4(A, B, C) & r1_fintopo4(A, B, D))  => r1_fintopo4(A, B, k4_subset_1(u1_struct_0(A), C, D))) ) ) ) ) ) ) ) ) ).
fof(t31_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  ( (v3_orders_2(A) &  (v1_fin_topo(A) &  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (k2_struct_0(A)=k4_subset_1(u1_struct_0(A), B, C) &  ( ~ (B=k1_struct_0(A))  &  ( ~ (C=k1_struct_0(A))  &  (v3_fin_topo(B, A) &  (v3_fin_topo(C, A) & r1_xboole_0(B, C)) ) ) ) ) ) ) ) ) ) ) )  => v1_fintopo6(A)) ) ) ).
fof(t32_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (v1_fintopo6(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (k2_struct_0(A)=k4_subset_1(u1_struct_0(A), B, C) &  ( ~ (B=k1_struct_0(A))  &  ( ~ (C=k1_struct_0(A))  &  (v3_fin_topo(B, A) &  (v3_fin_topo(C, A) & r1_xboole_0(B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v3_orders_2(A) &  (v4_fin_topo(B, A) &  (r1_tarski(B, k4_subset_1(u1_struct_0(A), C, D)) &  (r1_fintopo4(A, C, D) &  ( ~ (r1_tarski(B, C))  &  ~ (r1_tarski(B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_fin_topo(A) &  (v4_fin_topo(B, A) & v4_fin_topo(C, A)) )  =>  (r1_fintopo4(A, B, C) | v4_fin_topo(k4_subset_1(u1_struct_0(A), B, C), A)) ) ) ) ) ) ) ) ).
fof(t35_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_fin_topo(A) &  (v4_fin_topo(C, A) &  (r1_tarski(C, B) & r1_tarski(B, k9_fin_topo(A, C))) ) )  => v4_fin_topo(B, A)) ) ) ) ) ) ) ).
fof(t36_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v3_orders_2(A) &  (v1_fin_topo(A) & v4_fin_topo(B, A)) )  => v4_fin_topo(k9_fin_topo(A, B), A)) ) ) ) ) ).
fof(t37_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v3_orders_2(A) &  (v1_fin_topo(A) &  (v1_fintopo6(A) &  (v4_fin_topo(B, A) &  (k7_subset_1(u1_struct_0(A), k2_struct_0(A), B)=k4_subset_1(u1_struct_0(A), C, D) & r1_fintopo4(A, C, D)) ) ) ) )  => v4_fin_topo(k4_subset_1(u1_struct_0(A), B, C), A)) ) ) ) ) ) ) ) ) ).
fof(t38_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m1_fintopo6(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (C=D =>  (v4_fin_topo(C, A) <=> v4_fin_topo(D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t39_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v3_orders_2(A) &  (v1_fin_topo(A) & r1_fintopo6(A, B)) )  => v3_fin_topo(B, A)) ) ) ) ) ).
fof(t40_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v1_fin_topo(A) &  (r1_fintopo6(A, B) &  (r1_fintopo6(A, C) &  ( ~ (B=C)  &  ~ (r1_fintopo4(A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v3_orders_2(A) &  (v1_fin_topo(A) &  (r1_fintopo6(A, B) &  (r1_fintopo6(A, C) &  ( ~ (B=C)  &  ~ (r1_xboole_0(B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v3_orders_2(A) &  (v1_fin_topo(A) & v4_fin_topo(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r1_fintopo6(A, C) &  ( ~ (r1_xboole_0(B, C))  &  ~ (r1_tarski(B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_fintopo6(A, B, C) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k1_fintopo6(A, B)))) &  (D=C & r1_fintopo6(k1_fintopo6(A, B), D)) ) ) ) ) ) ) ) ) ) ).
fof(t43_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  =>  ( (v3_orders_2(A) &  (v1_fin_topo(A) &  (D=k7_subset_1(u1_struct_0(A), k2_struct_0(A), B) &  (v1_fintopo6(A) &  (v4_fin_topo(B, A) & r2_fintopo6(A, D, C)) ) ) ) )  => v4_fin_topo(k7_subset_1(u1_struct_0(A), k2_struct_0(A), C), A)) ) ) ) ) ) ) ) ) ).
fof(d6_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (v2_fintopo6(B, A) <=>  (r1_xxreal_0(1, k3_finseq_1(B)) &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_xxreal_0(1, C) & D=k1_funct_1(B, C))  =>  (r1_xxreal_0(k3_finseq_1(B), C) | r2_tarski(k1_funct_1(B, k1_nat_1(C, 1)), k1_fin_topo(A, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (v2_fintopo6(B, A) &  (D=k1_funct_1(B, k3_finseq_1(B)) & r2_tarski(C, k1_fin_topo(A, D))) )  => v2_fintopo6(k8_finseq_1(u1_struct_0(A), B, k12_finseq_1(u1_struct_0(A), C)), A)) ) ) ) ) ) ) ) ) ).
fof(t45_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  ( (v2_fintopo6(B, A) &  (v2_fintopo6(C, A) & r2_tarski(k1_funct_1(C, 1), k1_fin_topo(A, k7_partfun1(u1_struct_0(A), B, k3_finseq_1(B))))) )  => v2_fintopo6(k8_finseq_1(u1_struct_0(A), B, C), A)) ) ) ) ) ) ) ).
fof(d7_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_fintopo6(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(C, B) &  (r2_tarski(D, B) &  (! [E] :  (m2_finseq_1(E, u1_struct_0(A)) =>  ~ ( (v2_fintopo6(E, A) &  (r1_tarski(k2_relset_1(u1_struct_0(A), E), B) &  (k1_funct_1(E, 1)=C & k1_funct_1(E, k3_finseq_1(E))=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_fin_topo(A) =>  (v4_fin_topo(B, A) <=> v3_fintopo6(B, A)) ) ) ) ) ) ).
fof(t47_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) =>  ( (v2_fintopo6(B, A) & r1_xxreal_0(1, C))  => v2_fintopo6(k17_finseq_1(u1_struct_0(A), C, B), A)) ) ) ) ) ) ) ).
fof(t48_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (v2_fintopo6(B, A) =>  (r1_xxreal_0(k3_finseq_1(B), C) | v2_fintopo6(k2_rfinseq(u1_struct_0(A), C, B), A)) ) ) ) ) ) ) ) ).
fof(d8_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r3_fintopo6(A, B, C, D, E) <=>  (v2_fintopo6(B, A) &  (r1_tarski(k2_relset_1(u1_struct_0(A), B), C) &  (k1_funct_1(B, 1)=D &  (k1_funct_1(B, k3_finseq_1(B))=E &  (! [F] :  (m2_finseq_1(F, u1_struct_0(A)) =>  ( (v2_fintopo6(F, A) &  (r1_tarski(k2_relset_1(u1_struct_0(A), F), C) &  (k1_funct_1(F, 1)=D & k1_funct_1(F, k3_finseq_1(F))=E) ) )  => r1_xxreal_0(k3_finseq_1(B), k3_finseq_1(F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) => r3_fintopo6(A, k12_finseq_1(u1_struct_0(A), C), B, C, C)) ) ) ) ) ) ) ).
fof(t50_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_fintopo6(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(C, B) &  (r2_tarski(D, B) &  (! [E] :  (m2_finseq_1(E, u1_struct_0(A)) =>  ~ (r3_fintopo6(A, E, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( (? [E] :  (m2_finseq_1(E, u1_struct_0(A)) &  (v2_fintopo6(E, A) &  (r1_tarski(k2_relset_1(u1_struct_0(A), E), B) &  (k1_funct_1(E, 1)=C & k1_funct_1(E, k3_finseq_1(E))=D) ) ) ) )  &  (! [E] :  (m2_finseq_1(E, u1_struct_0(A)) =>  ~ (r3_fintopo6(A, E, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  ( (r3_fintopo6(A, B, C, D, E) &  (r1_xxreal_0(1, F) & r1_xxreal_0(F, k3_finseq_1(B))) )  =>  (v2_fintopo6(k17_finseq_1(u1_struct_0(A), F, B), A) &  (r1_tarski(k2_relset_1(u1_struct_0(A), k17_finseq_1(u1_struct_0(A), F, B)), C) &  (k1_funct_1(k17_finseq_1(u1_struct_0(A), F, B), 1)=D & k1_funct_1(k17_finseq_1(u1_struct_0(A), F, B), k3_finseq_1(k17_finseq_1(u1_struct_0(A), F, B)))=k7_partfun1(u1_struct_0(A), B, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r3_fintopo6(A, B, C, D, E) =>  (r1_xxreal_0(k3_finseq_1(B), F) |  (v2_fintopo6(k2_rfinseq(u1_struct_0(A), F, B), A) &  (r1_tarski(k2_relset_1(u1_struct_0(A), k2_rfinseq(u1_struct_0(A), F, B)), C) &  (k1_funct_1(k2_rfinseq(u1_struct_0(A), F, B), 1)=k7_partfun1(u1_struct_0(A), B, k1_nat_1(1, F)) & k1_funct_1(k2_rfinseq(u1_struct_0(A), F, B), k3_finseq_1(k2_rfinseq(u1_struct_0(A), F, B)))=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r3_fintopo6(A, B, C, D, E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(1, F) & r1_xxreal_0(F, k3_finseq_1(B)))  => r3_fintopo6(A, k17_finseq_1(u1_struct_0(A), F, B), C, D, k7_partfun1(u1_struct_0(A), B, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r3_fintopo6(A, B, C, D, E) => v2_funct_1(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (v4_fintopo6(B, A) <=>  (r1_xxreal_0(1, k3_finseq_1(B)) &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(B)) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k3_finseq_1(B)) &  (E=k1_funct_1(B, C) &  ( ~ (C=D)  &  (r2_tarski(k1_funct_1(B, D), k1_fin_topo(A, E)) &  ( ~ (C=k1_nat_1(D, 1))  &  ~ (D=k1_nat_1(C, 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r3_fintopo6(A, B, C, D, E) & v1_fin_topo(A))  => v4_fintopo6(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r3_fintopo6(A, B, C, D, E) &  (v3_orders_2(A) & v1_fin_topo(A)) )  =>  (D=E |  ( (! [F] :  (v7_ordinal1(F) =>  ~ ( ( ~ (r1_xxreal_0(F, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(B), F))  &  ~ (k9_subset_1(u1_struct_0(A), k2_relset_1(u1_struct_0(A), B), k1_fin_topo(A, k7_partfun1(u1_struct_0(A), B, F)))=k1_enumset1(k1_funct_1(B, k7_nat_d(F, 1)), k1_funct_1(B, F), k1_funct_1(B, k1_nat_1(F, 1)))) ) ) ) ) )  &  (k9_subset_1(u1_struct_0(A), k2_relset_1(u1_struct_0(A), B), k1_fin_topo(A, k7_partfun1(u1_struct_0(A), B, 1)))=k2_tarski(k1_funct_1(B, 1), k1_funct_1(B, 2)) & k9_subset_1(u1_struct_0(A), k2_relset_1(u1_struct_0(A), B), k1_fin_topo(A, k7_partfun1(u1_struct_0(A), B, k3_finseq_1(B))))=k2_tarski(k1_funct_1(B, k7_nat_d(k3_finseq_1(B), 1)), k1_funct_1(B, k3_finseq_1(B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_fintopo6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k1_fintopo6(A, C)))) =>  ( (r3_fintopo6(A, B, C, D, E) &  (v3_orders_2(A) &  (v1_fin_topo(A) & F=k6_domain_1(u1_struct_0(A), D)) ) )  =>  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  ( ~ (r1_xxreal_0(k3_finseq_1(B), G))  =>  (r2_tarski(k1_funct_1(B, k1_nat_1(G, 1)), k7_fintopo3(k1_fintopo6(A, C), F, G)) &  ~ ( (r1_xxreal_0(1, G) & r2_tarski(k1_funct_1(B, k1_nat_1(G, 1)), k7_fintopo3(k1_fintopo6(A, C), F, k7_nat_d(G, 1)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_m1_fintopo6, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_fintopo6(B, A) => l1_orders_2(B)) ) ) ) ).
fof(existence_m1_fintopo6, axiom,  (! [A] :  (l1_orders_2(A) =>  (? [B] : m1_fintopo6(B, A)) ) ) ).
fof(dt_k1_fintopo6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  ( ~ (v2_struct_0(k1_fintopo6(A, B)))  &  (v1_orders_2(k1_fintopo6(A, B)) & m1_fintopo6(k1_fintopo6(A, B), A)) ) ) ) ).
fof(fc1_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( ~ (v2_struct_0(k7_fintopo2(A)))  &  (v1_fintopo2(k7_fintopo2(A)) & v2_fintopo2(k7_fintopo2(A))) ) ) ) ).
fof(rc1_fintopo7, axiom,  (? [A] :  (l1_fintopo2(A) &  ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) &  (v2_fintopo7(A) &  (v3_fintopo7(A) & v4_fintopo7(A)) ) ) ) ) ) ).
fof(rc2_fintopo7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) &  (v2_fintopo7(A) & l1_fintopo2(A)) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (? [C] :  (m1_fintopo7(C, A, B) & v1_fintopo7(C, A)) ) ) ) ).
fof(rc3_fintopo7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) &  (v2_fintopo7(A) & l1_fintopo2(A)) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (? [C] :  (m2_fintopo7(C, A, B) & v1_fintopo7(C, A)) ) ) ) ).
fof(rc4_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) &  (v2_fintopo7(A) &  (v3_fintopo7(A) &  (v4_fintopo7(A) & l1_fintopo2(A)) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v1_fintopo7(B, A)) ) ) ) ).
fof(fc2_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) &  (v2_fintopo7(A) &  (v3_fintopo7(A) &  (v4_fintopo7(A) & l1_fintopo2(A)) ) ) ) )  =>  ( ~ (v1_xboole_0(k4_fintopo7(A)))  & v6_fintopo7(k4_fintopo7(A), A)) ) ) ).
fof(rc5_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) &  (v2_fintopo7(A) &  (v3_fintopo7(A) &  (v4_fintopo7(A) & l1_fintopo2(A)) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v6_fintopo7(B, A)) ) ) ) ).
fof(rc6_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) &  (v2_fintopo7(A) &  (v3_fintopo7(A) &  (v4_fintopo7(A) & l1_fintopo2(A)) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v7_fintopo7(B, A)) ) ) ) ).
fof(rc7_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) &  (v2_fintopo7(A) &  (v3_fintopo7(A) &  (v4_fintopo7(A) & l1_fintopo2(A)) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) &  (v6_fintopo7(B, A) & v7_fintopo7(B, A)) ) ) ) ) ).
fof(fc3_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) &  (v2_fintopo7(A) &  (v3_fintopo7(A) &  (v4_fintopo7(A) & l1_fintopo2(A)) ) ) ) )  =>  ( ~ (v2_struct_0(k7_fintopo7(A)))  &  (v1_pre_topc(k7_fintopo7(A)) & v2_pre_topc(k7_fintopo7(A))) ) ) ) ).
fof(t1_fintopo7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (r1_tarski(C, k1_cantor_1(A, B)) => r2_tarski(k5_setfam_1(A, C), k1_cantor_1(A, B))) ) ) ) ) ) ) ).
fof(t2_fintopo7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_xboole_0(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  ( ( (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (m1_subset_1(D, B) =>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(B)) & k3_xboole_0(C, D)=k3_tarski(E)) ) ) ) ) )  & A=k5_setfam_1(A, B))  => r1_tarski(k2_cantor_1(A, B), k1_cantor_1(A, B))) ) ) ) ) ).
fof(t3_fintopo7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  ( ( (! [C] :  (m2_subset_1(C, k1_zfmisc_1(A), B) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(B)) & k9_subset_1(A, C, D)=k3_tarski(E)) ) ) ) ) )  & A=k5_setfam_1(A, B))  => r1_tarski(k2_cantor_1(A, B), k1_cantor_1(A, B))) ) ) ) ) ).
fof(t4_fintopo7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  ( ( (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (m1_subset_1(D, B) =>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(B)) & k3_xboole_0(C, D)=k3_tarski(E)) ) ) ) ) )  & A=k5_setfam_1(A, B))  =>  (k1_cantor_1(A, B)=k1_cantor_1(A, k2_cantor_1(A, B)) & v2_pre_topc(g1_pre_topc(A, k1_cantor_1(A, B)))) ) ) ) ) ) ).
fof(t5_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (? [B] :  (l1_orders_2(B) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => m1_subset_1(k6_fintopo2(A, C), k1_zfmisc_1(u1_struct_0(B)))) ) ) ) ) ) ).
fof(d1_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) & l1_fintopo2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_fintopo7(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) => r2_tarski(B, k6_fintopo2(A, C))) ) ) ) ) ) ) ) ).
fof(d2_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) & l1_fintopo2(A)) )  =>  (v2_fintopo7(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => m1_card_fil(k6_fintopo2(A, B), u1_struct_0(A))) ) ) ) ) ).
fof(d3_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) & l1_fintopo2(A)) )  =>  (v3_fintopo7(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k6_fintopo2(A, B)) => r2_tarski(B, C)) ) ) ) ) ) ) ).
fof(d4_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) & l1_fintopo2(A)) )  =>  (v4_fintopo7(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k6_fintopo2(A, B)) =>  (? [D] :  (m1_subset_1(D, k6_fintopo2(A, B)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (m1_subset_1(E, D) => m1_subset_1(C, k6_fintopo2(A, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) & l1_fintopo2(A)) )  =>  (v2_fintopo7(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ (v1_xboole_0(k6_fintopo2(A, B))) ) ) ) ) ) ).
fof(t7_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) & l1_fintopo2(A)) )  =>  (v3_fintopo7(A) => v2_fintopo2(A)) ) ) ).
fof(t8_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) & l1_fintopo2(A)) )  =>  ( (v2_fintopo2(A) &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ (v1_xboole_0(k6_fintopo2(A, B))) ) ) )  => v3_fintopo7(A)) ) ) ).
fof(t9_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) & l1_fintopo2(A)) )  =>  ( (v2_fintopo2(A) & v2_fintopo7(A))  => v3_fintopo7(A)) ) ) ).
fof(t10_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) &  (v2_fintopo7(A) & l1_fintopo2(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r2_tarski(u1_struct_0(A), k6_fintopo2(A, B))) ) ) ) ).
fof(d5_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) &  (v2_fintopo7(A) & l1_fintopo2(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (m1_fintopo7(C, A, B) <=> r2_tarski(C, k6_fintopo2(A, B))) ) ) ) ) ) ) ).
fof(d6_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) &  (v2_fintopo7(A) & l1_fintopo2(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (m2_fintopo7(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, B) => r2_tarski(C, k6_fintopo2(A, D))) ) ) ) ) ) ) ) ) ) ).
fof(t11_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) &  (v2_fintopo7(A) & l1_fintopo2(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m2_fintopo7(C, A, B) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(C, D) => m2_fintopo7(D, A, B)) ) ) ) ) ) ) ) ) ).
fof(t12_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) &  (v2_fintopo7(A) & l1_fintopo2(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_card_fil(k1_fintopo7(A, B), u1_struct_0(A))) ) ) ) ).
fof(d8_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) & l1_fintopo2(A)) )  =>  (v5_fintopo7(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (v1_xboole_0(k6_fintopo2(A, B)))  &  (v1_setfam_1(k6_fintopo2(A, B)) &  (v4_cardfil2(k6_fintopo2(A, B), u1_struct_0(A)) & m1_subset_1(k6_fintopo2(A, B), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ) ) ) ) ) ) ).
fof(d9_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k9_setfam_1(k9_setfam_1(u1_struct_0(A)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k9_setfam_1(k9_setfam_1(u1_struct_0(A))))))) )  =>  (B=k2_fintopo7(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k9_setfam_1(k9_setfam_1(u1_struct_0(A))), B, C)=k3_cardfil2(u1_struct_0(A), k6_fintopo2(A, C))) ) ) ) ) ) ) ).
fof(d10_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) & l1_fintopo2(A)) )  => k3_fintopo7(A)=g1_fintopo2(u1_struct_0(A), k2_fintopo7(A))) ) ).
fof(t13_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) & l1_fintopo2(A)) )  =>  (v5_fintopo7(A) => v2_fintopo7(k3_fintopo7(A))) ) ) ).
fof(t14_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) &  (v2_fintopo7(A) &  (v3_fintopo7(A) &  (v4_fintopo7(A) & l1_fintopo2(A)) ) ) ) )  =>  (r2_tarski(k1_xboole_0, k4_fintopo7(A)) &  (r2_tarski(u1_struct_0(A), k4_fintopo7(A)) &  ( (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (r1_tarski(B, k4_fintopo7(A)) => r2_tarski(k5_setfam_1(u1_struct_0(A), B), k4_fintopo7(A))) ) )  &  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r2_tarski(B, k4_fintopo7(A)) & r2_tarski(C, k4_fintopo7(A)))  => r2_tarski(k9_subset_1(u1_struct_0(A), B, C), k4_fintopo7(A))) ) ) ) ) ) ) ) ) ) ).
fof(t15_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) &  (v2_fintopo7(A) &  (v3_fintopo7(A) &  (v4_fintopo7(A) & l1_fintopo2(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_fintopo7(C, A, B) =>  (? [D] :  ( (v1_fintopo7(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  &  (r2_tarski(B, D) & r1_tarski(D, C)) ) ) ) ) ) ) ) ) ).
fof(t16_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) &  (v2_fintopo7(A) &  (v3_fintopo7(A) &  (v4_fintopo7(A) & l1_fintopo2(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (m2_fintopo7(C, A, B) <=>  (? [D] :  ( (v1_fintopo7(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  &  (r1_tarski(B, D) & r1_tarski(D, C)) ) ) ) ) ) ) ) ) ) ).
fof(t17_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) &  (v2_fintopo7(A) &  (v3_fintopo7(A) &  (v4_fintopo7(A) & l1_fintopo2(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_card_fil(k1_fintopo7(A, B), u1_struct_0(A))) ) ) ) ).
fof(t18_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) &  (v2_fintopo7(A) &  (v3_fintopo7(A) &  (v4_fintopo7(A) & l1_fintopo2(A)) ) ) ) )  =>  (! [B] :  (m1_card_fil(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(B)))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  =>  ( (B=k1_fintopo7(A, D) & C=k5_fintopo7(A, D))  => v3_cardfil2(C, u1_struct_0(A), B)) ) ) ) ) ) ) ) ) ).
fof(t19_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (? [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_fintopo2(B) &  (v2_fintopo7(B) &  (v3_fintopo7(B) &  (v4_fintopo7(B) & l1_fintopo2(B)) ) ) ) )  &  (u1_struct_0(A)=u1_struct_0(B) & k4_fintopo7(B)=u1_pre_topc(A)) ) ) ) ) ).
fof(d13_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) &  (v2_fintopo7(A) &  (v3_fintopo7(A) &  (v4_fintopo7(A) & l1_fintopo2(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (v6_fintopo7(B, A) <=> r1_tarski(k4_fintopo7(A), k1_cantor_1(u1_struct_0(A), B))) ) ) ) ) ).
fof(d14_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) &  (v2_fintopo7(A) &  (v3_fintopo7(A) &  (v4_fintopo7(A) & l1_fintopo2(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (v7_fintopo7(B, A) <=> r1_tarski(B, k4_fintopo7(A))) ) ) ) ) ).
fof(t21_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) &  (v2_fintopo7(A) &  (v3_fintopo7(A) &  (v4_fintopo7(A) & l1_fintopo2(A)) ) ) ) )  =>  (! [B] :  ( (v6_fintopo7(B, A) &  (v7_fintopo7(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) )  => k4_fintopo7(A)=k1_cantor_1(u1_struct_0(A), B)) ) ) ) ).
fof(t22_fintopo7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  ~ ( ( (! [C] :  (m2_subset_1(C, k1_zfmisc_1(A), B) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(B)) & k9_subset_1(A, C, D)=k3_tarski(E)) ) ) ) ) )  &  (A=k5_setfam_1(A, B) &  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v1_fintopo2(C) &  (v2_fintopo7(C) &  (v3_fintopo7(C) &  (v4_fintopo7(C) & l1_fintopo2(C)) ) ) ) )  =>  ~ ( (u1_struct_0(C)=A &  (v6_fintopo7(B, C) &  (v7_fintopo7(B, C) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(C))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) &  (v2_fintopo7(A) &  (v3_fintopo7(A) &  (v4_fintopo7(A) & l1_fintopo2(A)) ) ) ) )  =>  (! [B] :  ( (v6_fintopo7(B, A) &  (v7_fintopo7(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) )  =>  ( (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (m1_subset_1(D, B) =>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(B)) & k3_xboole_0(C, D)=k3_tarski(E)) ) ) ) ) )  & u1_struct_0(A)=k5_setfam_1(u1_struct_0(A), B)) ) ) ) ) ).
fof(d15_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_fintopo2(B) &  (v2_fintopo7(B) &  (v3_fintopo7(B) &  (v4_fintopo7(B) & l1_fintopo2(B)) ) ) ) )  =>  (B=k6_fintopo7(A) <=>  (u1_struct_0(B)=u1_struct_0(A) & k4_fintopo7(B)=u1_pre_topc(A)) ) ) ) ) ) ).
fof(d16_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) &  (v2_fintopo7(A) &  (v3_fintopo7(A) &  (v4_fintopo7(A) & l1_fintopo2(A)) ) ) ) )  =>  (! [B] :  ( (v1_pre_topc(B) &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (B=k7_fintopo7(A) <=>  (u1_struct_0(B)=u1_struct_0(A) & k4_fintopo7(A)=u1_pre_topc(B)) ) ) ) ) ) ).
fof(t24_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_pre_topc(A) &  (v2_pre_topc(A) & l1_pre_topc(A)) ) )  => A=k7_fintopo7(k6_fintopo7(A))) ) ).
fof(t25_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) &  (v2_fintopo7(A) &  (v3_fintopo7(A) &  (v4_fintopo7(A) & l1_fintopo2(A)) ) ) ) )  => A=k6_fintopo7(k7_fintopo7(A))) ) ).
fof(dt_m1_fintopo7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) &  (v2_fintopo7(A) & l1_fintopo2(A)) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (! [C] :  (m1_fintopo7(C, A, B) => m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ).
fof(existence_m1_fintopo7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) &  (v2_fintopo7(A) & l1_fintopo2(A)) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (? [C] : m1_fintopo7(C, A, B)) ) ) ).
fof(dt_m2_fintopo7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) &  (v2_fintopo7(A) & l1_fintopo2(A)) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m2_fintopo7(C, A, B) => m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ).
fof(existence_m2_fintopo7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) &  (v2_fintopo7(A) & l1_fintopo2(A)) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (? [C] : m2_fintopo7(C, A, B)) ) ) ).
fof(dt_k1_fintopo7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) &  (v2_fintopo7(A) & l1_fintopo2(A)) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k1_fintopo7(A, B), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k2_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fintopo2(A))  =>  (v1_funct_1(k2_fintopo7(A)) &  (v1_funct_2(k2_fintopo7(A), u1_struct_0(A), k9_setfam_1(k9_setfam_1(u1_struct_0(A)))) & m1_subset_1(k2_fintopo7(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k9_setfam_1(k9_setfam_1(u1_struct_0(A))))))) ) ) ) ).
fof(dt_k3_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) & l1_fintopo2(A)) )  =>  ( ~ (v2_struct_0(k3_fintopo7(A)))  &  (v1_fintopo2(k3_fintopo7(A)) & l1_fintopo2(k3_fintopo7(A))) ) ) ) ).
fof(dt_k4_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) &  (v2_fintopo7(A) &  (v3_fintopo7(A) &  (v4_fintopo7(A) & l1_fintopo2(A)) ) ) ) )  =>  ( ~ (v1_xboole_0(k4_fintopo7(A)))  & m1_subset_1(k4_fintopo7(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ) ).
fof(dt_k5_fintopo7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) &  (v2_fintopo7(A) &  (v3_fintopo7(A) &  (v4_fintopo7(A) & l1_fintopo2(A)) ) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k5_fintopo7(A, B), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k6_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( ~ (v2_struct_0(k6_fintopo7(A)))  &  (v1_fintopo2(k6_fintopo7(A)) &  (v2_fintopo7(k6_fintopo7(A)) &  (v3_fintopo7(k6_fintopo7(A)) &  (v4_fintopo7(k6_fintopo7(A)) & l1_fintopo2(k6_fintopo7(A))) ) ) ) ) ) ) ).
fof(dt_k7_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) &  (v2_fintopo7(A) &  (v3_fintopo7(A) &  (v4_fintopo7(A) & l1_fintopo2(A)) ) ) ) )  =>  (v1_pre_topc(k7_fintopo7(A)) &  (v2_pre_topc(k7_fintopo7(A)) & l1_pre_topc(k7_fintopo7(A))) ) ) ) ).
fof(d7_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) &  (v2_fintopo7(A) & l1_fintopo2(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k1_fintopo7(A, B)=a_2_0_fintopo7(A, B)) ) ) ) ).
fof(d11_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) &  (v2_fintopo7(A) &  (v3_fintopo7(A) &  (v4_fintopo7(A) & l1_fintopo2(A)) ) ) ) )  => k4_fintopo7(A)=a_1_0_fintopo7(A)) ) ).
fof(d12_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fintopo2(A) &  (v2_fintopo7(A) &  (v3_fintopo7(A) &  (v4_fintopo7(A) & l1_fintopo2(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => k5_fintopo7(A, B)=a_2_1_fintopo7(A, B)) ) ) ) ).
fof(t20_fintopo7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_fintopo2(B) &  (v2_fintopo7(B) &  (v3_fintopo7(B) &  (v4_fintopo7(B) & l1_fintopo2(B)) ) ) ) )  =>  ( (u1_struct_0(A)=u1_struct_0(B) & k4_fintopo7(B)=u1_pre_topc(A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k6_fintopo2(B, C)=a_3_0_fintopo7(A, B, C)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_fintopo7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v1_fintopo2(B) &  (v2_fintopo7(B) & l1_fintopo2(B)) ) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_0_fintopo7(B, C)) <=>  (? [D] :  (m2_fintopo7(D, B, C) & A=D) ) ) ) ) ).
fof(fraenkel_a_1_0_fintopo7, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v1_fintopo2(B) &  (v2_fintopo7(B) &  (v3_fintopo7(B) &  (v4_fintopo7(B) & l1_fintopo2(B)) ) ) ) )  =>  (r2_hidden(A, a_1_0_fintopo7(B)) <=>  (? [C] :  ( (v1_fintopo7(C, B) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  & A=C) ) ) ) ) ).
fof(fraenkel_a_2_1_fintopo7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v1_fintopo2(B) &  (v2_fintopo7(B) &  (v3_fintopo7(B) &  (v4_fintopo7(B) & l1_fintopo2(B)) ) ) ) )  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (r2_hidden(A, a_2_1_fintopo7(B, C)) <=>  (? [D] :  ( (v1_fintopo7(D, B) & m2_fintopo7(D, B, C))  & A=D) ) ) ) ) ).
fof(fraenkel_a_3_0_fintopo7, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  &  ( ( ~ (v2_struct_0(C))  &  (v1_fintopo2(C) &  (v2_fintopo7(C) &  (v3_fintopo7(C) &  (v4_fintopo7(C) & l1_fintopo2(C)) ) ) ) )  & m1_subset_1(D, u1_struct_0(C))) )  =>  (r2_hidden(A, a_3_0_fintopo7(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(C))) &  (A=E &  (? [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(B))) &  (r2_tarski(F, u1_pre_topc(B)) &  (r2_tarski(D, F) & r1_tarski(F, E)) ) ) ) ) ) ) ) ) ) ).
fof(t1_flang_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ ( (r1_xxreal_0(B, A) & r1_xxreal_0(C, A)) )  & r1_xxreal_0(k2_xcmplx_0(B, C), A)) ) ) ) ) ) ) ) ).
fof(t2_flang_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(k2_xcmplx_0(B, A), k1_nat_1(C, 1)) =>  (r1_xxreal_0(A, k5_numbers) | r1_xxreal_0(B, C)) ) ) ) ) ) ) ) ).
fof(t3_flang_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (k2_xcmplx_0(A, B)=1 <=>  ( (A=1 & B=k5_numbers)  |  (A=k5_numbers & B=1) ) ) ) ) ) ) ).
fof(t4_flang_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k3_catalan2(A)) =>  (! [D] :  (m1_subset_1(D, k3_catalan2(A)) =>  (k1_flang_1(A, C, D)=k5_afinsq_1(B) <=>  ( (C=k2_flang_1(A) & D=k5_afinsq_1(B))  |  (D=k2_flang_1(A) & C=k5_afinsq_1(B)) ) ) ) ) ) ) ) ) ).
fof(t5_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k3_catalan2(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v5_ordinal1(D) &  (v1_funct_1(D) & v1_finset_1(D)) ) )  =>  (B=k1_ordinal4(C, D) =>  (m1_subset_1(C, k3_catalan2(A)) & m1_subset_1(D, k3_catalan2(A))) ) ) ) ) ) ) ) ) ).
fof(t6_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(k5_afinsq_1(B), k3_catalan2(A)) => r2_hidden(B, A)) ) ) ).
fof(t7_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k3_catalan2(A)) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (k1_afinsq_1(B)=k1_nat_1(C, 1) &  (! [D] :  (m1_subset_1(D, k3_catalan2(A)) =>  (! [E] :  (m1_subset_1(E, A) =>  ~ ( (k1_afinsq_1(D)=C & B=k1_ordinal4(D, k5_afinsq_1(E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_flang_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  ~ ( ( ~ (A=k1_xboole_0)  &  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (! [C] :  ~ (A=k1_ordinal4(k5_afinsq_1(C), B)) ) ) ) ) ) ) ) ).
fof(t9_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k3_catalan2(A)) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (k1_afinsq_1(B)=k1_nat_1(C, 1) &  (! [D] :  (m1_subset_1(D, k3_catalan2(A)) =>  (! [E] :  (m1_subset_1(E, A) =>  ~ ( (k1_afinsq_1(D)=C & B=k1_ordinal4(k5_afinsq_1(E), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k3_catalan2(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (k1_afinsq_1(B)=k2_xcmplx_0(C, D) &  (! [E] :  (m1_subset_1(E, k3_catalan2(A)) =>  (! [F] :  (m1_subset_1(F, k3_catalan2(A)) =>  ~ ( (k1_afinsq_1(E)=C &  (k1_afinsq_1(F)=D & B=k1_flang_1(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k3_catalan2(A)) =>  (k1_flang_1(A, B, B)=B => B=k1_xboole_0) ) ) ) ).
fof(d1_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_catalan2(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_catalan2(A))) =>  (D=k6_flang_1(A, B, C) <=>  (! [E] :  (r2_tarski(E, D) <=>  (? [F] :  (m1_subset_1(F, k3_catalan2(A)) &  (? [G] :  (m1_subset_1(G, k3_catalan2(A)) &  (r2_tarski(F, B) &  (r2_tarski(G, C) & E=k1_flang_1(A, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_catalan2(A))) =>  (k6_flang_1(A, B, C)=k1_xboole_0 <=>  (B=k1_xboole_0 | C=k1_xboole_0) ) ) ) ) ) ) ).
fof(t13_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (k6_flang_1(A, B, k4_flang_1(A, k2_flang_1(A)))=B & k6_flang_1(A, k4_flang_1(A, k2_flang_1(A)), B)=B) ) ) ) ).
fof(t14_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_catalan2(A))) =>  (k6_flang_1(A, B, C)=k4_flang_1(A, k2_flang_1(A)) <=>  (B=k4_flang_1(A, k2_flang_1(A)) & C=k4_flang_1(A, k2_flang_1(A))) ) ) ) ) ) ) ).
fof(t15_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_catalan2(A))) =>  (r2_tarski(k2_flang_1(A), k6_flang_1(A, B, C)) <=>  (r2_tarski(k2_flang_1(A), B) & r2_tarski(k2_flang_1(A), C)) ) ) ) ) ) ) ).
fof(t16_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_catalan2(A))) =>  (r2_tarski(k2_flang_1(A), C) =>  (r1_tarski(B, k6_flang_1(A, B, C)) & r1_tarski(B, k6_flang_1(A, C, B))) ) ) ) ) ) ) ).
fof(t17_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_catalan2(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_catalan2(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k3_catalan2(A))) =>  ( (r1_tarski(B, D) & r1_tarski(C, E))  => r1_tarski(k6_flang_1(A, B, C), k6_flang_1(A, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t18_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_catalan2(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_catalan2(A))) => k6_flang_1(A, k6_flang_1(A, B, C), D)=k6_flang_1(A, B, k6_flang_1(A, C, D))) ) ) ) ) ) ) ).
fof(t19_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_catalan2(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_catalan2(A))) =>  (r1_tarski(k6_flang_1(A, B, k9_subset_1(k3_catalan2(A), C, D)), k9_subset_1(k3_catalan2(A), k6_flang_1(A, B, C), k6_flang_1(A, B, D))) & r1_tarski(k6_flang_1(A, k9_subset_1(k3_catalan2(A), C, D), B), k9_subset_1(k3_catalan2(A), k6_flang_1(A, C, B), k6_flang_1(A, D, B)))) ) ) ) ) ) ) ) ).
fof(t20_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_catalan2(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_catalan2(A))) =>  (k4_subset_1(k3_catalan2(A), k6_flang_1(A, B, C), k6_flang_1(A, B, D))=k6_flang_1(A, B, k4_subset_1(k3_catalan2(A), C, D)) & k4_subset_1(k3_catalan2(A), k6_flang_1(A, C, B), k6_flang_1(A, D, B))=k6_flang_1(A, k4_subset_1(k3_catalan2(A), C, D), B)) ) ) ) ) ) ) ) ).
fof(t21_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_catalan2(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_catalan2(A))) =>  (r1_tarski(k7_subset_1(k3_catalan2(A), k6_flang_1(A, B, C), k6_flang_1(A, B, D)), k6_flang_1(A, B, k7_subset_1(k3_catalan2(A), C, D))) & r1_tarski(k7_subset_1(k3_catalan2(A), k6_flang_1(A, C, B), k6_flang_1(A, D, B)), k6_flang_1(A, k7_subset_1(k3_catalan2(A), C, D), B))) ) ) ) ) ) ) ) ).
fof(t22_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_catalan2(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_catalan2(A))) =>  (r1_tarski(k5_subset_1(k3_catalan2(A), k6_flang_1(A, B, C), k6_flang_1(A, B, D)), k6_flang_1(A, B, k5_subset_1(k3_catalan2(A), C, D))) & r1_tarski(k5_subset_1(k3_catalan2(A), k6_flang_1(A, C, B), k6_flang_1(A, D, B)), k6_flang_1(A, k5_subset_1(k3_catalan2(A), C, D), B))) ) ) ) ) ) ) ) ).
fof(d2_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_catalan2(A))) =>  (D=k7_flang_1(A, B, C) <=>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k9_setfam_1(k3_catalan2(A))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k3_catalan2(A)))))) )  &  (D=k5_flang_1(k3_catalan2(A), E, C) &  (k5_flang_1(k3_catalan2(A), E, k5_numbers)=k4_flang_1(A, k2_flang_1(A)) &  (! [F] :  (v7_ordinal1(F) => k5_flang_1(k3_catalan2(A), E, k1_nat_1(F, 1))=k6_flang_1(A, k5_flang_1(k3_catalan2(A), E, F), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (v7_ordinal1(C) => k7_flang_1(A, B, k1_nat_1(C, 1))=k6_flang_1(A, k7_flang_1(A, B, C), B)) ) ) ) ) ).
fof(t24_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) => k7_flang_1(A, B, k5_numbers)=k4_flang_1(A, k2_flang_1(A))) ) ) ).
fof(t25_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) => k7_flang_1(A, B, 1)=B) ) ) ).
fof(t26_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) => k7_flang_1(A, B, 2)=k6_flang_1(A, B, B)) ) ) ).
fof(t27_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (k7_flang_1(A, B, C)=k1_xboole_0 <=>  ( ~ (r1_xxreal_0(C, k5_numbers))  & B=k1_xboole_0) ) ) ) ) ) ) ).
fof(t28_flang_1, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) => k7_flang_1(A, k4_flang_1(A, k2_flang_1(A)), B)=k4_flang_1(A, k2_flang_1(A))) ) ) ).
fof(t29_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (k7_flang_1(A, B, C)=k4_flang_1(A, k2_flang_1(A)) <=>  (C=k5_numbers | B=k4_flang_1(A, k2_flang_1(A))) ) ) ) ) ) ) ).
fof(t30_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(k2_flang_1(A), B) => r2_tarski(k2_flang_1(A), k7_flang_1(A, B, C))) ) ) ) ) ) ).
fof(t31_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(k2_flang_1(A), k7_flang_1(A, B, C)) =>  (r1_xxreal_0(C, k5_numbers) | r2_tarski(k2_flang_1(A), B)) ) ) ) ) ) ) ).
fof(t32_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (v7_ordinal1(C) => k6_flang_1(A, k7_flang_1(A, B, C), B)=k6_flang_1(A, B, k7_flang_1(A, B, C))) ) ) ) ) ).
fof(t33_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k7_flang_1(A, B, k2_xcmplx_0(D, C))=k6_flang_1(A, k7_flang_1(A, B, D), k7_flang_1(A, B, C))) ) ) ) ) ) ) ).
fof(t34_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k7_flang_1(A, k7_flang_1(A, B, D), C)=k7_flang_1(A, B, k3_xcmplx_0(D, C))) ) ) ) ) ) ) ).
fof(t35_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(k2_flang_1(A), B) =>  (r1_xxreal_0(C, k5_numbers) | r1_tarski(B, k7_flang_1(A, B, C))) ) ) ) ) ) ) ).
fof(t36_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(k2_flang_1(A), B) =>  (r1_xxreal_0(D, C) | r1_tarski(k7_flang_1(A, B, C), k7_flang_1(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t37_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_catalan2(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_tarski(B, C) => r1_tarski(k7_flang_1(A, B, D), k7_flang_1(A, C, D))) ) ) ) ) ) ) ) ).
fof(t38_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_catalan2(A))) =>  (! [D] :  (v7_ordinal1(D) => r1_tarski(k4_subset_1(k3_catalan2(A), k7_flang_1(A, B, D), k7_flang_1(A, C, D)), k7_flang_1(A, k4_subset_1(k3_catalan2(A), B, C), D))) ) ) ) ) ) ) ).
fof(t39_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_catalan2(A))) =>  (! [D] :  (v7_ordinal1(D) => r1_tarski(k7_flang_1(A, k9_subset_1(k3_catalan2(A), B, C), D), k9_subset_1(k3_catalan2(A), k7_flang_1(A, B, D), k7_flang_1(A, C, D)))) ) ) ) ) ) ) ).
fof(t40_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (m1_subset_1(C, k3_catalan2(A)) =>  (! [D] :  (m1_subset_1(D, k3_catalan2(A)) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r2_tarski(C, k7_flang_1(A, B, F)) & r2_tarski(D, k7_flang_1(A, B, E)))  => r2_tarski(k1_flang_1(A, C, D), k7_flang_1(A, B, k2_xcmplx_0(F, E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_flang_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_catalan2(A))) =>  (r2_tarski(B, k8_flang_1(A, C)) <=>  (? [D] :  (v7_ordinal1(D) & r2_tarski(B, k7_flang_1(A, C, D))) ) ) ) ) ) ) ).
fof(t42_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (v7_ordinal1(C) => r1_tarski(k7_flang_1(A, B, C), k8_flang_1(A, B))) ) ) ) ) ).
fof(t43_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) => r1_tarski(B, k8_flang_1(A, B))) ) ) ).
fof(t44_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) => r1_tarski(k6_flang_1(A, B, B), k8_flang_1(A, B))) ) ) ).
fof(t45_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (m1_subset_1(C, k3_catalan2(A)) =>  (! [D] :  (m1_subset_1(D, k3_catalan2(A)) =>  ( (r2_tarski(C, k8_flang_1(A, B)) & r2_tarski(D, k8_flang_1(A, B)))  => r2_tarski(k1_flang_1(A, C, D), k8_flang_1(A, B))) ) ) ) ) ) ) ) ).
fof(t46_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_catalan2(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_catalan2(A))) =>  ( (r1_tarski(B, k8_flang_1(A, D)) & r1_tarski(C, k8_flang_1(A, D)))  => r1_tarski(k6_flang_1(A, B, C), k8_flang_1(A, D))) ) ) ) ) ) ) ) ).
fof(t47_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (k8_flang_1(A, B)=k4_flang_1(A, k2_flang_1(A)) <=>  (B=k1_xboole_0 | B=k4_flang_1(A, k2_flang_1(A))) ) ) ) ) ).
fof(t48_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) => r2_tarski(k2_flang_1(A), k8_flang_1(A, B))) ) ) ).
fof(t49_flang_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_catalan2(A))) =>  (k8_flang_1(A, C)=k1_tarski(B) => B=k2_flang_1(A)) ) ) ) ) ).
fof(t50_flang_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_catalan2(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(B, k7_flang_1(A, C, k1_nat_1(D, 1))) =>  (r2_tarski(B, k6_flang_1(A, k8_flang_1(A, C), C)) & r2_tarski(B, k6_flang_1(A, C, k8_flang_1(A, C)))) ) ) ) ) ) ) ) ).
fof(t51_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_tarski(k7_flang_1(A, B, k1_nat_1(C, 1)), k6_flang_1(A, k8_flang_1(A, B), B)) & r1_tarski(k7_flang_1(A, B, k1_nat_1(C, 1)), k6_flang_1(A, B, k8_flang_1(A, B)))) ) ) ) ) ) ).
fof(t52_flang_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_catalan2(A))) =>  ( (r2_tarski(B, k6_flang_1(A, k8_flang_1(A, C), C)) | r2_tarski(B, k6_flang_1(A, C, k8_flang_1(A, C))))  => r2_tarski(B, k8_flang_1(A, C))) ) ) ) ) ).
fof(t53_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (r1_tarski(k6_flang_1(A, k8_flang_1(A, B), B), k8_flang_1(A, B)) & r1_tarski(k6_flang_1(A, B, k8_flang_1(A, B)), k8_flang_1(A, B))) ) ) ) ).
fof(t54_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (r2_tarski(k2_flang_1(A), B) =>  (k8_flang_1(A, B)=k6_flang_1(A, k8_flang_1(A, B), B) & k8_flang_1(A, B)=k6_flang_1(A, B, k8_flang_1(A, B))) ) ) ) ) ).
fof(t55_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(k2_flang_1(A), B) =>  (k8_flang_1(A, B)=k6_flang_1(A, k8_flang_1(A, B), k7_flang_1(A, B, C)) & k8_flang_1(A, B)=k6_flang_1(A, k7_flang_1(A, B, C), k8_flang_1(A, B))) ) ) ) ) ) ) ).
fof(t56_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (k8_flang_1(A, B)=k4_subset_1(k3_catalan2(A), k4_flang_1(A, k2_flang_1(A)), k6_flang_1(A, B, k8_flang_1(A, B))) & k8_flang_1(A, B)=k4_subset_1(k3_catalan2(A), k4_flang_1(A, k2_flang_1(A)), k6_flang_1(A, k8_flang_1(A, B), B))) ) ) ) ).
fof(t57_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) => k6_flang_1(A, B, k8_flang_1(A, B))=k6_flang_1(A, k8_flang_1(A, B), B)) ) ) ).
fof(t58_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (v7_ordinal1(C) => k6_flang_1(A, k7_flang_1(A, B, C), k8_flang_1(A, B))=k6_flang_1(A, k8_flang_1(A, B), k7_flang_1(A, B, C))) ) ) ) ) ).
fof(t59_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_catalan2(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_tarski(B, k8_flang_1(A, C)) => r1_tarski(k7_flang_1(A, B, D), k8_flang_1(A, C))) ) ) ) ) ) ) ) ).
fof(t60_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_catalan2(A))) =>  (r1_tarski(B, k8_flang_1(A, C)) => r1_tarski(k8_flang_1(A, B), k8_flang_1(A, C))) ) ) ) ) ) ).
fof(t61_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_catalan2(A))) =>  (r1_tarski(B, C) => r1_tarski(k8_flang_1(A, B), k8_flang_1(A, C))) ) ) ) ) ) ).
fof(t62_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) => k8_flang_1(A, k8_flang_1(A, B))=k8_flang_1(A, B)) ) ) ).
fof(t63_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) => k6_flang_1(A, k8_flang_1(A, B), k8_flang_1(A, B))=k8_flang_1(A, B)) ) ) ).
fof(t64_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (v7_ordinal1(C) => r1_tarski(k8_flang_1(A, k7_flang_1(A, B, C)), k8_flang_1(A, B))) ) ) ) ) ).
fof(t65_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (v7_ordinal1(C) => r1_tarski(k7_flang_1(A, k8_flang_1(A, B), C), k8_flang_1(A, B))) ) ) ) ) ).
fof(t66_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  => k7_flang_1(A, k8_flang_1(A, B), C)=k8_flang_1(A, B)) ) ) ) ) ) ).
fof(t67_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_catalan2(A))) =>  (r1_tarski(B, k8_flang_1(A, C)) => k8_flang_1(A, C)=k8_flang_1(A, k4_subset_1(k3_catalan2(A), C, B))) ) ) ) ) ) ).
fof(t68_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (m1_subset_1(C, k3_catalan2(A)) =>  (r2_tarski(C, k8_flang_1(A, B)) => k8_flang_1(A, B)=k8_flang_1(A, k4_subset_1(k3_catalan2(A), B, k4_flang_1(A, C)))) ) ) ) ) ) ).
fof(t69_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) => k8_flang_1(A, B)=k8_flang_1(A, k7_subset_1(k3_catalan2(A), B, k4_flang_1(A, k2_flang_1(A))))) ) ) ).
fof(t70_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_catalan2(A))) => r1_tarski(k4_subset_1(k3_catalan2(A), k8_flang_1(A, B), k8_flang_1(A, C)), k8_flang_1(A, k4_subset_1(k3_catalan2(A), B, C)))) ) ) ) ) ).
fof(t71_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_catalan2(A))) => r1_tarski(k8_flang_1(A, k9_subset_1(k3_catalan2(A), B, C)), k9_subset_1(k3_catalan2(A), k8_flang_1(A, B), k8_flang_1(A, C)))) ) ) ) ) ).
fof(t72_flang_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_catalan2(A))) =>  (r2_tarski(k5_afinsq_1(B), k8_flang_1(A, C)) <=> r2_tarski(k5_afinsq_1(B), C)) ) ) ) ) ).
fof(d4_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (B=k9_flang_1(A) <=>  (! [C] :  (r2_tarski(C, B) <=>  (? [D] :  (m1_subset_1(D, A) &  (r2_tarski(D, A) & C=k5_afinsq_1(D)) ) ) ) ) ) ) ) ) ).
fof(t73_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k3_catalan2(A)) => r2_tarski(B, k7_flang_1(A, k9_flang_1(A), k1_afinsq_1(B)))) ) ) ).
fof(t74_flang_1, axiom,  (! [A] : k8_flang_1(A, k9_flang_1(A))=k3_catalan2(A)) ).
fof(t75_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) =>  (k8_flang_1(A, B)=k3_catalan2(A) => r1_tarski(k9_flang_1(A), B)) ) ) ) ).
fof(dt_k1_flang_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k3_catalan2(A)) & m1_subset_1(C, k3_catalan2(A)))  => m1_subset_1(k1_flang_1(A, B, C), k3_catalan2(A))) ) ).
fof(redefinition_k1_flang_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k3_catalan2(A)) & m1_subset_1(C, k3_catalan2(A)))  => k1_flang_1(A, B, C)=k1_ordinal4(B, C)) ) ).
fof(dt_k2_flang_1, axiom,  (! [A] : m1_subset_1(k2_flang_1(A), k3_catalan2(A))) ).
fof(redefinition_k2_flang_1, axiom,  (! [A] : k2_flang_1(A)=k4_afinsq_1(A)) ).
fof(dt_k3_flang_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => m1_subset_1(k3_flang_1(A, B), k3_catalan2(A))) ) ).
fof(redefinition_k3_flang_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => k3_flang_1(A, B)=k3_afinsq_1(B)) ) ).
fof(dt_k4_flang_1, axiom,  (! [A, B] :  (m1_subset_1(B, k3_catalan2(A)) => m1_subset_1(k4_flang_1(A, B), k1_zfmisc_1(k3_catalan2(A)))) ) ).
fof(redefinition_k4_flang_1, axiom,  (! [A, B] :  (m1_subset_1(B, k3_catalan2(A)) => k4_flang_1(A, B)=k1_tarski(B)) ) ).
fof(dt_k5_flang_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  & v7_ordinal1(C))  => m1_subset_1(k5_flang_1(A, B, C), k1_zfmisc_1(A))) ) ).
fof(redefinition_k5_flang_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  & v7_ordinal1(C))  => k5_flang_1(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k6_flang_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) & m1_subset_1(C, k1_zfmisc_1(k3_catalan2(A))))  => m1_subset_1(k6_flang_1(A, B, C), k1_zfmisc_1(k3_catalan2(A)))) ) ).
fof(dt_k7_flang_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) & v7_ordinal1(C))  => m1_subset_1(k7_flang_1(A, B, C), k1_zfmisc_1(k3_catalan2(A)))) ) ).
fof(dt_k8_flang_1, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) => m1_subset_1(k8_flang_1(A, B), k1_zfmisc_1(k3_catalan2(A)))) ) ).
fof(dt_k9_flang_1, axiom,  (! [A] : m1_subset_1(k9_flang_1(A), k1_zfmisc_1(k3_catalan2(A)))) ).
fof(d3_flang_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_catalan2(A))) => k8_flang_1(A, B)=k3_tarski(a_2_0_flang_1(A, B))) ) ) ).
fof(fraenkel_a_2_0_flang_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(k3_catalan2(B))) =>  (r2_hidden(A, a_2_0_flang_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_catalan2(B))) &  (A=D &  (? [E] :  (v7_ordinal1(E) & D=k7_flang_1(B, C, E)) ) ) ) ) ) ) ) ).
fof(fc1_flang_2, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  ~ (v1_xboole_0(k2_flang_2(A, B))) ) ) ).
fof(t1_flang_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(k2_xcmplx_0(C, B), A) &  (r1_xxreal_0(A, k2_xcmplx_0(D, B)) &  (! [E] :  (v7_ordinal1(E) =>  ~ ( (k2_xcmplx_0(E, B)=A &  (r1_xxreal_0(C, E) & r1_xxreal_0(E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_flang_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(D, E) &  (r1_xxreal_0(B, C) &  (r1_xxreal_0(k2_xcmplx_0(D, B), A) &  (r1_xxreal_0(A, k2_xcmplx_0(E, C)) &  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ~ ( (k2_xcmplx_0(F, G)=A &  (r1_xxreal_0(D, F) &  (r1_xxreal_0(F, E) &  (r1_xxreal_0(B, G) & r1_xxreal_0(G, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_flang_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  (! [C] :  (v7_ordinal1(C) =>  ~ ( (k2_xcmplx_0(A, C)=B &  ~ (r1_xxreal_0(C, k5_numbers)) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k8_afinsq_1(A)) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  ( (k1_flang_1(A, B, C)=B | k1_flang_1(A, C, B)=B)  => C=k1_xboole_0) ) ) ) ) ) ).
fof(t5_flang_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k8_afinsq_1(A))) =>  ~ ( ( (r2_tarski(B, C) | r2_tarski(B, D))  &  ( ~ (B=k2_flang_1(A))  & k6_flang_1(A, C, D)=k4_flang_1(A, k2_flang_1(A))) ) ) ) ) ) ) ) ) ).
fof(t6_flang_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k8_afinsq_1(A))) =>  (r2_tarski(k5_afinsq_1(B), k6_flang_1(A, C, D)) <=>  ( (r2_tarski(k2_flang_1(A), C) & r2_tarski(k5_afinsq_1(B), D))  |  (r2_tarski(k5_afinsq_1(B), C) & r2_tarski(k2_flang_1(A), D)) ) ) ) ) ) ) ) ) ).
fof(t7_flang_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(B, C) &  ( ~ (B=k2_flang_1(A))  &  ( ~ (r1_xxreal_0(D, k5_numbers))  & k7_flang_1(A, C, D)=k4_flang_1(A, k2_flang_1(A))) ) ) ) ) ) ) ) ) ) ).
fof(t8_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(k2_flang_1(A), k7_flang_1(A, B, C)) <=>  (C=k5_numbers | r2_tarski(k2_flang_1(A), B)) ) ) ) ) ) ) ).
fof(t9_flang_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(k5_afinsq_1(B), k7_flang_1(A, C, D)) <=>  (r2_tarski(k5_afinsq_1(B), C) &  ( (r2_tarski(k2_flang_1(A), C) &  ~ (r1_xxreal_0(D, 1)) )  | D=1) ) ) ) ) ) ) ) ) ).
fof(t10_flang_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (k7_flang_1(A, C, D)=k1_tarski(B) & k7_flang_1(A, C, E)=k1_tarski(B))  =>  (D=E | B=k2_flang_1(A)) ) ) ) ) ) ) ) ) ) ).
fof(t11_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k7_flang_1(A, k7_flang_1(A, B, C), D)=k7_flang_1(A, k7_flang_1(A, B, D), C)) ) ) ) ) ) ) ).
fof(t12_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k6_flang_1(A, k7_flang_1(A, B, C), k7_flang_1(A, B, D))=k6_flang_1(A, k7_flang_1(A, B, D), k7_flang_1(A, B, C))) ) ) ) ) ) ) ).
fof(t13_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(k2_flang_1(A), C) =>  (r1_tarski(B, k6_flang_1(A, B, k7_flang_1(A, C, D))) & r1_tarski(B, k6_flang_1(A, k7_flang_1(A, C, D), B))) ) ) ) ) ) ) ) ) ).
fof(t14_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r1_tarski(B, k7_flang_1(A, D, E)) & r1_tarski(C, k7_flang_1(A, D, F)))  => r1_tarski(k6_flang_1(A, B, C), k7_flang_1(A, D, k2_xcmplx_0(E, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_flang_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  ~ ( (r2_tarski(B, C) &  ( ~ (B=k2_flang_1(A))  & k8_flang_1(A, C)=k4_flang_1(A, k2_flang_1(A))) ) ) ) ) ) ) ).
fof(t16_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(k2_flang_1(A), B) =>  (r1_xxreal_0(C, k5_numbers) | k8_flang_1(A, k7_flang_1(A, B, C))=k8_flang_1(A, B)) ) ) ) ) ) ) ).
fof(t17_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(k2_flang_1(A), B) => k8_flang_1(A, k7_flang_1(A, B, C))=k7_flang_1(A, k8_flang_1(A, B), C)) ) ) ) ) ) ).
fof(t18_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (r1_tarski(B, k6_flang_1(A, B, k8_flang_1(A, C))) & r1_tarski(B, k6_flang_1(A, k8_flang_1(A, C), B))) ) ) ) ) ) ).
fof(t19_flang_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(B, k1_flang_2(A, C, D, E)) <=>  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(D, F) &  (r1_xxreal_0(F, E) & r2_tarski(B, k7_flang_1(A, C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(D, C) & r1_xxreal_0(C, E))  => r1_tarski(k7_flang_1(A, B, C), k1_flang_2(A, B, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t21_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (k1_flang_2(A, B, C, D)=k1_xboole_0 <=>  ~ ( (r1_xxreal_0(C, D) &  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  & B=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) => k1_flang_2(A, B, C, C)=k7_flang_1(A, B, C)) ) ) ) ) ).
fof(t23_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(E, C) & r1_xxreal_0(D, F))  => r1_tarski(k1_flang_2(A, B, C, D), k1_flang_2(A, B, E, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(D, C) & r1_xxreal_0(C, E))  => k1_flang_2(A, B, D, E)=k4_subset_1(k8_afinsq_1(A), k1_flang_2(A, B, D, C), k1_flang_2(A, B, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t25_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(D, C) & r1_xxreal_0(C, E))  => k1_flang_2(A, B, D, E)=k4_subset_1(k8_afinsq_1(A), k1_flang_2(A, B, D, C), k1_flang_2(A, B, k2_xcmplx_0(C, 1), E))) ) ) ) ) ) ) ) ) ) ).
fof(t26_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(C, k2_xcmplx_0(D, 1)) => k1_flang_2(A, B, C, k2_xcmplx_0(D, 1))=k4_subset_1(k3_catalan2(A), k1_flang_2(A, B, C, D), k7_flang_1(A, B, k2_xcmplx_0(D, 1)))) ) ) ) ) ) ) ) ).
fof(t27_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(C, D) => k1_flang_2(A, B, C, D)=k4_subset_1(k8_afinsq_1(A), k7_flang_1(A, B, C), k1_flang_2(A, B, k2_xcmplx_0(C, 1), D))) ) ) ) ) ) ) ) ).
fof(t28_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) => k1_flang_2(A, B, C, k2_xcmplx_0(C, 1))=k4_subset_1(k3_catalan2(A), k7_flang_1(A, B, C), k7_flang_1(A, B, k2_xcmplx_0(C, 1)))) ) ) ) ) ).
fof(t29_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r1_tarski(B, C) => r1_tarski(k1_flang_2(A, B, D, E), k1_flang_2(A, C, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t30_flang_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_tarski(B, C) &  ( ~ (B=k2_flang_1(A))  &  ( ~ ( (r1_xxreal_0(D, k5_numbers) & r1_xxreal_0(E, k5_numbers)) )  & k1_flang_2(A, C, D, E)=k4_flang_1(A, k2_flang_1(A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (k1_flang_2(A, B, C, D)=k4_flang_1(A, k2_flang_1(A)) <=>  ~ ( ( ~ ( (r1_xxreal_0(C, D) & B=k4_flang_1(A, k2_flang_1(A))) )  &  ( ~ ( (C=k5_numbers & D=k5_numbers) )  &  ~ ( (C=k5_numbers & B=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => r1_tarski(k1_flang_2(A, B, C, D), k8_flang_1(A, B))) ) ) ) ) ) ) ).
fof(t33_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(k2_flang_1(A), k1_flang_2(A, B, C, D)) <=>  (C=k5_numbers |  (r1_xxreal_0(C, D) & r2_tarski(k2_flang_1(A), B)) ) ) ) ) ) ) ) ) ) ).
fof(t34_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(k2_flang_1(A), B) & r1_xxreal_0(C, D))  => k1_flang_2(A, B, C, D)=k7_flang_1(A, B, D)) ) ) ) ) ) ) ) ).
fof(t35_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) => k6_flang_1(A, k1_flang_2(A, B, D, E), k7_flang_1(A, B, C))=k6_flang_1(A, k7_flang_1(A, B, C), k1_flang_2(A, B, D, E))) ) ) ) ) ) ) ) ) ).
fof(t36_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k6_flang_1(A, k1_flang_2(A, B, C, D), B)=k6_flang_1(A, B, k1_flang_2(A, B, C, D))) ) ) ) ) ) ) ).
fof(t37_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(E, F) & r1_xxreal_0(C, D))  => k6_flang_1(A, k1_flang_2(A, B, E, F), k1_flang_2(A, B, C, D))=k1_flang_2(A, B, k2_xcmplx_0(E, C), k2_xcmplx_0(F, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k1_flang_2(A, B, k2_xcmplx_0(C, 1), k2_xcmplx_0(D, 1))=k6_flang_1(A, k1_flang_2(A, B, C, D), B)) ) ) ) ) ) ) ).
fof(t39_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) => k6_flang_1(A, k1_flang_2(A, B, E, F), k1_flang_2(A, B, C, D))=k6_flang_1(A, k1_flang_2(A, B, C, D), k1_flang_2(A, B, E, F))) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) => k7_flang_1(A, k1_flang_2(A, B, D, E), C)=k1_flang_2(A, B, k3_xcmplx_0(D, C), k3_xcmplx_0(E, C))) ) ) ) ) ) ) ) ) ).
fof(t41_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) => r1_tarski(k1_flang_2(A, k7_flang_1(A, B, k2_xcmplx_0(C, 1)), D, E), k6_flang_1(A, k1_flang_2(A, k7_flang_1(A, B, C), D, E), k1_flang_2(A, B, D, E)))) ) ) ) ) ) ) ) ) ).
fof(t42_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) => r1_tarski(k1_flang_2(A, k7_flang_1(A, B, C), D, E), k1_flang_2(A, B, k3_xcmplx_0(C, D), k3_xcmplx_0(C, E)))) ) ) ) ) ) ) ) ) ).
fof(t43_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) => r1_tarski(k1_flang_2(A, k7_flang_1(A, B, C), D, E), k7_flang_1(A, k1_flang_2(A, B, D, E), C))) ) ) ) ) ) ) ) ) ).
fof(t44_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) => r1_tarski(k1_flang_2(A, k7_flang_1(A, B, k2_xcmplx_0(C, D)), E, F), k6_flang_1(A, k1_flang_2(A, k7_flang_1(A, B, C), E, F), k1_flang_2(A, k7_flang_1(A, B, D), E, F)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) => k1_flang_2(A, B, k5_numbers, k5_numbers)=k4_flang_1(A, k2_flang_1(A))) ) ) ).
fof(t46_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) => k1_flang_2(A, B, k5_numbers, 1)=k4_subset_1(k8_afinsq_1(A), k4_flang_1(A, k2_flang_1(A)), B)) ) ) ).
fof(t47_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) => k1_flang_2(A, B, 1, 1)=B) ) ) ).
fof(t48_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) => k1_flang_2(A, B, k5_numbers, 2)=k4_subset_1(k3_catalan2(A), k4_subset_1(k8_afinsq_1(A), k4_flang_1(A, k2_flang_1(A)), B), k6_flang_1(A, B, B))) ) ) ).
fof(t49_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) => k1_flang_2(A, B, 1, 2)=k4_subset_1(k3_catalan2(A), B, k6_flang_1(A, B, B))) ) ) ).
fof(t50_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) => k1_flang_2(A, B, 2, 2)=k6_flang_1(A, B, B)) ) ) ).
fof(t51_flang_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (k1_flang_2(A, C, D, E)=k1_tarski(B) =>  (r1_xxreal_0(D, k5_numbers) |  (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(D, F) & r1_xxreal_0(F, E))  => k7_flang_1(A, C, F)=k1_tarski(B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_flang_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (k1_flang_2(A, C, D, E)=k1_tarski(B) =>  (D=E | B=k2_flang_1(A)) ) ) ) ) ) ) ) ) ) ).
fof(t53_flang_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(k5_afinsq_1(B), k1_flang_2(A, C, D, E)) <=>  (r2_tarski(k5_afinsq_1(B), C) &  (r1_xxreal_0(D, E) &  ( (r2_tarski(k2_flang_1(A), C) &  ~ (r1_xxreal_0(E, k5_numbers)) )  |  (r1_xxreal_0(D, 1) & r1_xxreal_0(1, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) => r1_tarski(k1_flang_2(A, k9_subset_1(k8_afinsq_1(A), B, C), D, E), k9_subset_1(k8_afinsq_1(A), k1_flang_2(A, B, D, E), k1_flang_2(A, C, D, E)))) ) ) ) ) ) ) ) ) ).
fof(t55_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) => r1_tarski(k4_subset_1(k8_afinsq_1(A), k1_flang_2(A, B, D, E), k1_flang_2(A, C, D, E)), k1_flang_2(A, k4_subset_1(k8_afinsq_1(A), B, C), D, E))) ) ) ) ) ) ) ) ) ).
fof(t56_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) => r1_tarski(k1_flang_2(A, k1_flang_2(A, B, E, F), C, D), k1_flang_2(A, B, k3_xcmplx_0(E, C), k3_xcmplx_0(F, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(D, E) & r2_tarski(k2_flang_1(A), C))  =>  (r1_tarski(B, k6_flang_1(A, B, k1_flang_2(A, C, D, E))) & r1_tarski(B, k6_flang_1(A, k1_flang_2(A, C, D, E), B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (v7_ordinal1(H) =>  ( (r1_xxreal_0(G, H) &  (r1_xxreal_0(E, F) &  (r1_tarski(B, k1_flang_2(A, D, G, H)) & r1_tarski(C, k1_flang_2(A, D, E, F))) ) )  => r1_tarski(k6_flang_1(A, B, C), k1_flang_2(A, D, k2_xcmplx_0(G, E), k2_xcmplx_0(H, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => r1_tarski(k8_flang_1(A, k1_flang_2(A, B, C, D)), k8_flang_1(A, B))) ) ) ) ) ) ) ).
fof(t60_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => r1_tarski(k1_flang_2(A, k8_flang_1(A, B), C, D), k8_flang_1(A, B))) ) ) ) ) ) ) ).
fof(t61_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(C, D) =>  (r1_xxreal_0(D, k5_numbers) | k1_flang_2(A, k8_flang_1(A, B), C, D)=k8_flang_1(A, B)) ) ) ) ) ) ) ) ) ).
fof(t62_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(C, D) & r2_tarski(k2_flang_1(A), B))  =>  (r1_xxreal_0(D, k5_numbers) | k8_flang_1(A, k1_flang_2(A, B, C, D))=k8_flang_1(A, B)) ) ) ) ) ) ) ) ) ).
fof(t63_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(C, D) & r2_tarski(k2_flang_1(A), B))  => k8_flang_1(A, k1_flang_2(A, B, C, D))=k1_flang_2(A, k8_flang_1(A, B), C, D)) ) ) ) ) ) ) ) ).
fof(t64_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r1_tarski(B, k8_flang_1(A, C)) => r1_tarski(k1_flang_2(A, B, D, E), k8_flang_1(A, C))) ) ) ) ) ) ) ) ) ) ).
fof(t65_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r1_tarski(B, k8_flang_1(A, C)) => k8_flang_1(A, C)=k8_flang_1(A, k4_subset_1(k8_afinsq_1(A), C, k1_flang_2(A, B, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t66_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k6_flang_1(A, k1_flang_2(A, B, C, D), k8_flang_1(A, B))=k6_flang_1(A, k8_flang_1(A, B), k1_flang_2(A, B, C, D))) ) ) ) ) ) ) ).
fof(t67_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(k2_flang_1(A), B) & r1_xxreal_0(C, D))  => k8_flang_1(A, B)=k6_flang_1(A, k8_flang_1(A, B), k1_flang_2(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t68_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) => r1_tarski(k7_flang_1(A, k1_flang_2(A, B, D, E), C), k8_flang_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(t69_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) => r1_tarski(k1_flang_2(A, k7_flang_1(A, B, C), D, E), k8_flang_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(t70_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(C, D) => r1_tarski(k8_flang_1(A, k7_flang_1(A, B, C)), k8_flang_1(A, k1_flang_2(A, B, C, D)))) ) ) ) ) ) ) ) ).
fof(t71_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) => r1_tarski(k1_flang_2(A, k1_flang_2(A, B, E, F), C, D), k8_flang_1(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t72_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(k2_flang_1(A), B) &  (r1_xxreal_0(C, E) & r1_xxreal_0(D, E)) )  => k1_flang_2(A, B, C, E)=k1_flang_2(A, B, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(t73_flang_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (r2_tarski(B, k2_flang_2(A, C)) <=>  (? [D] :  (v7_ordinal1(D) &  (r1_xxreal_0(D, 1) & r2_tarski(B, k7_flang_1(A, C, D))) ) ) ) ) ) ) ) ).
fof(t74_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(C, 1) => r1_tarski(k7_flang_1(A, B, C), k2_flang_2(A, B))) ) ) ) ) ) ).
fof(t75_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) => k2_flang_2(A, B)=k4_subset_1(k3_catalan2(A), k7_flang_1(A, B, k5_numbers), k7_flang_1(A, B, 1))) ) ) ).
fof(t76_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) => k2_flang_2(A, B)=k4_subset_1(k8_afinsq_1(A), k4_flang_1(A, k2_flang_1(A)), B)) ) ) ).
fof(t77_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) => r1_tarski(B, k2_flang_2(A, B))) ) ) ).
fof(t78_flang_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (r2_tarski(B, k2_flang_2(A, C)) <=>  (B=k2_flang_1(A) | r2_tarski(B, C)) ) ) ) ) ) ).
fof(t79_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) => k2_flang_2(A, B)=k1_flang_2(A, B, k5_numbers, 1)) ) ) ).
fof(t80_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (k2_flang_2(A, B)=B <=> r2_tarski(k2_flang_1(A), B)) ) ) ) ).
fof(t81_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) => k2_flang_2(A, k2_flang_2(A, B))=k2_flang_2(A, B)) ) ) ).
fof(t82_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (r1_tarski(B, C) => r1_tarski(k2_flang_2(A, B), k2_flang_2(A, C))) ) ) ) ) ) ).
fof(t83_flang_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  ~ ( (r2_tarski(B, C) &  ( ~ (B=k2_flang_1(A))  & k2_flang_2(A, C)=k4_flang_1(A, k2_flang_1(A))) ) ) ) ) ) ) ).
fof(t84_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (k2_flang_2(A, B)=k4_flang_1(A, k2_flang_1(A)) <=>  (B=k1_xboole_0 | B=k4_flang_1(A, k2_flang_1(A))) ) ) ) ) ).
fof(t85_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (k2_flang_2(A, k8_flang_1(A, B))=k8_flang_1(A, B) & k8_flang_1(A, k2_flang_2(A, B))=k8_flang_1(A, B)) ) ) ) ).
fof(t86_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) => r1_tarski(k2_flang_2(A, B), k8_flang_1(A, B))) ) ) ).
fof(t87_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) => k2_flang_2(A, k9_subset_1(k8_afinsq_1(A), B, C))=k9_subset_1(k8_afinsq_1(A), k2_flang_2(A, B), k2_flang_2(A, C))) ) ) ) ) ).
fof(t88_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) => k4_subset_1(k8_afinsq_1(A), k2_flang_2(A, B), k2_flang_2(A, C))=k2_flang_2(A, k4_subset_1(k8_afinsq_1(A), B, C))) ) ) ) ) ).
fof(t89_flang_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (k2_flang_2(A, C)=k1_tarski(B) => B=k2_flang_1(A)) ) ) ) ) ).
fof(t90_flang_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (r2_tarski(k5_afinsq_1(B), k2_flang_2(A, C)) <=> r2_tarski(k5_afinsq_1(B), C)) ) ) ) ) ).
fof(t91_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) => k6_flang_1(A, k2_flang_2(A, B), B)=k6_flang_1(A, B, k2_flang_2(A, B))) ) ) ).
fof(t92_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) => k6_flang_1(A, k2_flang_2(A, B), B)=k1_flang_2(A, B, 1, 2)) ) ) ).
fof(t93_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) => k6_flang_1(A, k2_flang_2(A, B), k2_flang_2(A, B))=k1_flang_2(A, B, k5_numbers, 2)) ) ) ).
fof(t94_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) => k7_flang_1(A, k2_flang_2(A, B), C)=k1_flang_2(A, k2_flang_2(A, B), k5_numbers, C)) ) ) ) ) ).
fof(t95_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) => k7_flang_1(A, k2_flang_2(A, B), C)=k1_flang_2(A, B, k5_numbers, C)) ) ) ) ) ).
fof(t96_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(C, D) => k1_flang_2(A, k2_flang_2(A, B), C, D)=k1_flang_2(A, k2_flang_2(A, B), k5_numbers, D)) ) ) ) ) ) ) ) ).
fof(t97_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) => k1_flang_2(A, k2_flang_2(A, B), k5_numbers, C)=k1_flang_2(A, B, k5_numbers, C)) ) ) ) ) ).
fof(t98_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(C, D) => k1_flang_2(A, k2_flang_2(A, B), C, D)=k1_flang_2(A, B, k5_numbers, D)) ) ) ) ) ) ) ) ).
fof(t99_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) => k2_flang_2(A, k1_flang_2(A, B, 1, C))=k1_flang_2(A, B, k5_numbers, C)) ) ) ) ) ).
fof(t100_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  ( (r2_tarski(k2_flang_1(A), B) & r2_tarski(k2_flang_1(A), C))  =>  (r1_tarski(k2_flang_2(A, B), k6_flang_1(A, B, C)) & r1_tarski(k2_flang_2(A, B), k6_flang_1(A, C, B))) ) ) ) ) ) ) ).
fof(t101_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (r1_tarski(B, k6_flang_1(A, B, k2_flang_2(A, C))) & r1_tarski(B, k6_flang_1(A, k2_flang_2(A, C), B))) ) ) ) ) ) ).
fof(t102_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k8_afinsq_1(A))) =>  ( (r1_tarski(B, k2_flang_2(A, D)) & r1_tarski(C, k2_flang_2(A, D)))  => r1_tarski(k6_flang_1(A, B, C), k1_flang_2(A, D, k5_numbers, 2))) ) ) ) ) ) ) ) ).
fof(t103_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(k2_flang_1(A), B) =>  (r1_xxreal_0(C, k5_numbers) | r1_tarski(k2_flang_2(A, B), k7_flang_1(A, B, C))) ) ) ) ) ) ) ).
fof(t104_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) => k6_flang_1(A, k2_flang_2(A, B), k7_flang_1(A, B, C))=k6_flang_1(A, k7_flang_1(A, B, C), k2_flang_2(A, B))) ) ) ) ) ).
fof(t105_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (r1_tarski(B, k8_flang_1(A, C)) => r1_tarski(k2_flang_2(A, B), k8_flang_1(A, C))) ) ) ) ) ) ).
fof(t106_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (r1_tarski(B, k8_flang_1(A, C)) => k8_flang_1(A, C)=k8_flang_1(A, k4_subset_1(k8_afinsq_1(A), C, k2_flang_2(A, B)))) ) ) ) ) ) ).
fof(t107_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) => k6_flang_1(A, k2_flang_2(A, B), k8_flang_1(A, B))=k6_flang_1(A, k8_flang_1(A, B), k2_flang_2(A, B))) ) ) ).
fof(t108_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) => k6_flang_1(A, k2_flang_2(A, B), k8_flang_1(A, B))=k8_flang_1(A, B)) ) ) ).
fof(t109_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) => r1_tarski(k7_flang_1(A, k2_flang_2(A, B), C), k8_flang_1(A, B))) ) ) ) ) ).
fof(t110_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) => r1_tarski(k2_flang_2(A, k7_flang_1(A, B, C)), k8_flang_1(A, B))) ) ) ) ) ).
fof(t111_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k6_flang_1(A, k2_flang_2(A, B), k1_flang_2(A, B, C, D))=k6_flang_1(A, k1_flang_2(A, B, C, D), k2_flang_2(A, B))) ) ) ) ) ) ) ).
fof(t112_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) => k6_flang_1(A, k2_flang_2(A, B), k7_flang_1(A, B, C))=k1_flang_2(A, B, C, k2_xcmplx_0(C, 1))) ) ) ) ) ).
fof(t113_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => r1_tarski(k1_flang_2(A, k2_flang_2(A, B), C, D), k8_flang_1(A, B))) ) ) ) ) ) ) ).
fof(t114_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => r1_tarski(k2_flang_2(A, k1_flang_2(A, B, C, D)), k8_flang_1(A, B))) ) ) ) ) ) ) ).
fof(t115_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) => k2_flang_2(A, B)=k2_flang_2(A, k7_subset_1(k8_afinsq_1(A), B, k4_flang_1(A, k2_flang_1(A))))) ) ) ).
fof(t116_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (r1_tarski(B, k2_flang_2(A, C)) => r1_tarski(k2_flang_2(A, B), k2_flang_2(A, C))) ) ) ) ) ) ).
fof(t117_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (r1_tarski(B, k2_flang_2(A, C)) => k2_flang_2(A, C)=k2_flang_2(A, k4_subset_1(k8_afinsq_1(A), C, B))) ) ) ) ) ) ).
fof(dt_k1_flang_2, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) &  (v7_ordinal1(C) & v7_ordinal1(D)) )  => m1_subset_1(k1_flang_2(A, B, C, D), k1_zfmisc_1(k8_afinsq_1(A)))) ) ).
fof(dt_k2_flang_2, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) => m1_subset_1(k2_flang_2(A, B), k1_zfmisc_1(k8_afinsq_1(A)))) ) ).
fof(d1_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k1_flang_2(A, B, C, D)=k3_tarski(a_4_0_flang_2(A, B, C, D))) ) ) ) ) ) ) ).
fof(d2_flang_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) => k2_flang_2(A, B)=k3_tarski(a_2_0_flang_2(A, B))) ) ) ).
fof(fraenkel_a_4_0_flang_2, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(B))) &  (v7_ordinal1(D) & v7_ordinal1(E)) )  =>  (r2_hidden(A, a_4_0_flang_2(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, k1_zfmisc_1(k8_afinsq_1(B))) &  (A=F &  (? [G] :  (v7_ordinal1(G) &  (r1_xxreal_0(D, G) &  (r1_xxreal_0(G, E) & F=k7_flang_1(B, C, G)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_flang_2, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(B))) =>  (r2_hidden(A, a_2_0_flang_2(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(k8_afinsq_1(B))) &  (A=D &  (? [E] :  (v7_ordinal1(E) &  (r1_xxreal_0(E, 1) & D=k7_flang_1(B, C, E)) ) ) ) ) ) ) ) ) ).
fof(t1_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (r1_tarski(C, k8_flang_1(A, B)) =>  (r1_tarski(k6_flang_1(A, k8_flang_1(A, B), C), k8_flang_1(A, B)) & r1_tarski(k6_flang_1(A, C, k8_flang_1(A, B)), k8_flang_1(A, B))) ) ) ) ) ) ) ).
fof(t2_flang_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(B, k1_flang_3(A, C, D)) <=>  (? [E] :  (v7_ordinal1(E) &  (r1_xxreal_0(D, E) & r2_tarski(B, k7_flang_1(A, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t3_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(D, C) => r1_tarski(k7_flang_1(A, B, C), k1_flang_3(A, B, D))) ) ) ) ) ) ) ) ).
fof(t4_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (k1_flang_3(A, B, C)=k1_xboole_0 <=>  ( ~ (r1_xxreal_0(C, k5_numbers))  & B=k1_xboole_0) ) ) ) ) ) ) ).
fof(t5_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(C, D) => r1_tarski(k1_flang_3(A, B, D), k1_flang_3(A, B, C))) ) ) ) ) ) ) ) ).
fof(t6_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(C, D) => r1_tarski(k1_flang_2(A, B, D, E), k1_flang_3(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t7_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(C, k2_xcmplx_0(D, 1)) => k4_subset_1(k8_afinsq_1(A), k1_flang_2(A, B, C, D), k1_flang_3(A, B, k2_xcmplx_0(D, 1)))=k1_flang_3(A, B, C)) ) ) ) ) ) ) ) ).
fof(t8_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) => k4_subset_1(k8_afinsq_1(A), k7_flang_1(A, B, C), k1_flang_3(A, B, k2_xcmplx_0(C, 1)))=k1_flang_3(A, B, C)) ) ) ) ) ).
fof(t9_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) => r1_tarski(k1_flang_3(A, B, C), k8_flang_1(A, B))) ) ) ) ) ).
fof(t10_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(k2_flang_1(A), k1_flang_3(A, B, C)) <=>  (C=k5_numbers | r2_tarski(k2_flang_1(A), B)) ) ) ) ) ) ) ).
fof(t11_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (k1_flang_3(A, B, C)=k8_flang_1(A, B) <=>  (r2_tarski(k2_flang_1(A), B) | C=k5_numbers) ) ) ) ) ) ) ).
fof(t12_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) => k8_flang_1(A, B)=k4_subset_1(k8_afinsq_1(A), k1_flang_2(A, B, k5_numbers, C), k1_flang_3(A, B, k2_xcmplx_0(C, 1)))) ) ) ) ) ).
fof(t13_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_tarski(B, C) => r1_tarski(k1_flang_3(A, B, D), k1_flang_3(A, C, D))) ) ) ) ) ) ) ) ).
fof(t14_flang_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(B, C) &  ( ~ (B=k2_flang_1(A))  & k1_flang_3(A, C, D)=k4_flang_1(A, k2_flang_1(A))) ) ) ) ) ) ) ) ) ).
fof(t15_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (k1_flang_3(A, B, C)=k4_flang_1(A, k2_flang_1(A)) <=>  (B=k4_flang_1(A, k2_flang_1(A)) |  (C=k5_numbers & B=k1_xboole_0) ) ) ) ) ) ) ) ).
fof(t16_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) => k1_flang_3(A, B, k2_xcmplx_0(C, 1))=k6_flang_1(A, k1_flang_3(A, B, C), B)) ) ) ) ) ).
fof(t17_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) => k6_flang_1(A, k1_flang_3(A, B, C), k8_flang_1(A, B))=k1_flang_3(A, B, C)) ) ) ) ) ).
fof(t18_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k6_flang_1(A, k1_flang_3(A, B, C), k1_flang_3(A, B, D))=k1_flang_3(A, B, k2_xcmplx_0(C, D))) ) ) ) ) ) ) ).
fof(t19_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( ~ (r1_xxreal_0(D, k5_numbers))  => k7_flang_1(A, k1_flang_3(A, B, C), D)=k1_flang_3(A, B, k3_xcmplx_0(C, D))) ) ) ) ) ) ) ) ).
fof(t20_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) => k8_flang_1(A, k1_flang_3(A, B, C))=k2_flang_2(A, k1_flang_3(A, B, C))) ) ) ) ) ).
fof(t21_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r1_tarski(B, k1_flang_3(A, D, E)) & r1_tarski(C, k1_flang_3(A, D, F)))  => r1_tarski(k6_flang_1(A, B, C), k1_flang_3(A, D, k2_xcmplx_0(E, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k1_flang_3(A, B, k2_xcmplx_0(D, C))=k6_flang_1(A, k1_flang_3(A, B, D), k7_flang_1(A, B, C))) ) ) ) ) ) ) ).
fof(t23_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) => k6_flang_1(A, B, k1_flang_3(A, B, C))=k6_flang_1(A, k1_flang_3(A, B, C), B)) ) ) ) ) ).
fof(t24_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k6_flang_1(A, k7_flang_1(A, B, C), k1_flang_3(A, B, D))=k6_flang_1(A, k1_flang_3(A, B, D), k7_flang_1(A, B, C))) ) ) ) ) ) ) ).
fof(t25_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) => k6_flang_1(A, k1_flang_2(A, B, C, D), k1_flang_3(A, B, E))=k6_flang_1(A, k1_flang_3(A, B, E), k1_flang_2(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t26_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(k2_flang_1(A), C) =>  (r1_tarski(B, k6_flang_1(A, B, k1_flang_3(A, C, D))) & r1_tarski(B, k6_flang_1(A, k1_flang_3(A, C, D), B))) ) ) ) ) ) ) ) ) ).
fof(t27_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k6_flang_1(A, k1_flang_3(A, B, C), k1_flang_3(A, B, D))=k6_flang_1(A, k1_flang_3(A, B, D), k1_flang_3(A, B, C))) ) ) ) ) ) ) ).
fof(t28_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r1_tarski(B, k1_flang_3(A, C, D)) =>  (r1_xxreal_0(E, k5_numbers) | r1_tarski(k7_flang_1(A, B, E), k1_flang_3(A, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r1_tarski(B, k1_flang_3(A, C, D)) =>  (r1_xxreal_0(E, k5_numbers) | r1_tarski(k1_flang_3(A, B, E), k1_flang_3(A, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) => k6_flang_1(A, k8_flang_1(A, B), B)=k1_flang_3(A, B, 1)) ) ) ).
fof(t31_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) => k6_flang_1(A, k8_flang_1(A, B), k7_flang_1(A, B, C))=k1_flang_3(A, B, C)) ) ) ) ) ).
fof(t32_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) => k6_flang_1(A, k1_flang_3(A, B, C), k8_flang_1(A, B))=k6_flang_1(A, k8_flang_1(A, B), k1_flang_3(A, B, C))) ) ) ) ) ).
fof(t33_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(C, D) => k6_flang_1(A, k1_flang_3(A, B, E), k1_flang_2(A, B, C, D))=k1_flang_3(A, B, k2_xcmplx_0(E, C))) ) ) ) ) ) ) ) ) ) ).
fof(t34_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(C, D) => k6_flang_1(A, k8_flang_1(A, B), k1_flang_2(A, B, C, D))=k1_flang_3(A, B, C)) ) ) ) ) ) ) ) ).
fof(t35_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => r1_tarski(k1_flang_3(A, k7_flang_1(A, B, C), D), k1_flang_3(A, B, k3_xcmplx_0(C, D)))) ) ) ) ) ) ) ).
fof(t36_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => r1_tarski(k1_flang_3(A, k7_flang_1(A, B, C), D), k7_flang_1(A, k1_flang_3(A, B, D), C))) ) ) ) ) ) ) ).
fof(t37_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r2_tarski(C, k1_flang_3(A, B, E)) & r2_tarski(D, k1_flang_3(A, B, F)))  => r2_tarski(k1_flang_1(A, C, D), k1_flang_3(A, B, k2_xcmplx_0(E, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_flang_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (k1_flang_3(A, C, D)=k1_tarski(B) => B=k2_flang_1(A)) ) ) ) ) ) ) ).
fof(t39_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_tarski(B, k8_flang_1(A, C)) => r1_tarski(k1_flang_3(A, B, D), k8_flang_1(A, C))) ) ) ) ) ) ) ) ).
fof(t40_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_tarski(k2_flang_2(A, B), k1_flang_3(A, B, C)) <=>  (C=k5_numbers | r2_tarski(k2_flang_1(A), B)) ) ) ) ) ) ) ).
fof(t41_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) => k6_flang_1(A, k1_flang_3(A, B, C), k2_flang_2(A, B))=k1_flang_3(A, B, C)) ) ) ) ) ).
fof(t42_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) => k6_flang_1(A, k1_flang_3(A, B, C), k2_flang_2(A, B))=k6_flang_1(A, k2_flang_2(A, B), k1_flang_3(A, B, C))) ) ) ) ) ).
fof(t43_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_tarski(C, k8_flang_1(A, B)) =>  (r1_tarski(k6_flang_1(A, k1_flang_3(A, B, D), C), k1_flang_3(A, B, D)) & r1_tarski(k6_flang_1(A, C, k1_flang_3(A, B, D)), k1_flang_3(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t44_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  (v7_ordinal1(D) => r1_tarski(k1_flang_3(A, k9_subset_1(k8_afinsq_1(A), B, C), D), k9_subset_1(k8_afinsq_1(A), k1_flang_3(A, B, D), k1_flang_3(A, C, D)))) ) ) ) ) ) ) ).
fof(t45_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  (v7_ordinal1(D) => r1_tarski(k4_subset_1(k8_afinsq_1(A), k1_flang_3(A, B, D), k1_flang_3(A, C, D)), k1_flang_3(A, k4_subset_1(k8_afinsq_1(A), B, C), D))) ) ) ) ) ) ) ).
fof(t46_flang_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(k5_afinsq_1(B), k1_flang_3(A, C, D)) <=>  (r2_tarski(k5_afinsq_1(B), C) &  (r2_tarski(k2_flang_1(A), C) | r1_xxreal_0(D, 1)) ) ) ) ) ) ) ) ) ).
fof(t47_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_tarski(B, k1_flang_3(A, C, D)) => k1_flang_3(A, C, D)=k1_flang_3(A, k4_subset_1(k8_afinsq_1(A), C, B), D)) ) ) ) ) ) ) ) ).
fof(t48_flang_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (r2_tarski(B, k2_flang_3(A, C)) <=>  (? [D] :  (v7_ordinal1(D) &  ( ~ (r1_xxreal_0(D, k5_numbers))  & r2_tarski(B, k7_flang_1(A, C, D))) ) ) ) ) ) ) ) ).
fof(t49_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  => r1_tarski(k7_flang_1(A, B, C), k2_flang_3(A, B))) ) ) ) ) ) ).
fof(t50_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) => k2_flang_3(A, B)=k1_flang_3(A, B, 1)) ) ) ).
fof(t51_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (k2_flang_3(A, B)=k1_xboole_0 <=> B=k1_xboole_0) ) ) ) ).
fof(t52_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) => k2_flang_3(A, B)=k6_flang_1(A, k8_flang_1(A, B), B)) ) ) ).
fof(t53_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) => k8_flang_1(A, B)=k4_subset_1(k8_afinsq_1(A), k4_flang_1(A, k2_flang_1(A)), k2_flang_3(A, B))) ) ) ).
fof(t54_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) => k2_flang_3(A, B)=k4_subset_1(k8_afinsq_1(A), k1_flang_2(A, B, 1, C), k1_flang_3(A, B, k2_xcmplx_0(C, 1)))) ) ) ) ) ).
fof(t55_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) => r1_tarski(k2_flang_3(A, B), k8_flang_1(A, B))) ) ) ).
fof(t56_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (r2_tarski(k2_flang_1(A), k2_flang_3(A, B)) <=> r2_tarski(k2_flang_1(A), B)) ) ) ) ).
fof(t57_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (k2_flang_3(A, B)=k8_flang_1(A, B) <=> r2_tarski(k2_flang_1(A), B)) ) ) ) ).
fof(t58_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (r1_tarski(B, C) => r1_tarski(k2_flang_3(A, B), k2_flang_3(A, C))) ) ) ) ) ) ).
fof(t59_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) => r1_tarski(B, k2_flang_3(A, B))) ) ) ).
fof(t60_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (k2_flang_3(A, k8_flang_1(A, B))=k8_flang_1(A, B) & k8_flang_1(A, k2_flang_3(A, B))=k8_flang_1(A, B)) ) ) ) ).
fof(t61_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (r1_tarski(B, k8_flang_1(A, C)) => r1_tarski(k2_flang_3(A, B), k8_flang_1(A, C))) ) ) ) ) ) ).
fof(t62_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) => k2_flang_3(A, k2_flang_3(A, B))=k2_flang_3(A, B)) ) ) ).
fof(t63_flang_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  ~ ( (r2_tarski(B, C) &  ( ~ (B=k2_flang_1(A))  & k2_flang_3(A, C)=k4_flang_1(A, k2_flang_1(A))) ) ) ) ) ) ) ).
fof(t64_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (k2_flang_3(A, B)=k4_flang_1(A, k2_flang_1(A)) <=> B=k4_flang_1(A, k2_flang_1(A))) ) ) ) ).
fof(t65_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (k2_flang_2(A, k2_flang_3(A, B))=k8_flang_1(A, B) & k2_flang_3(A, k2_flang_2(A, B))=k8_flang_1(A, B)) ) ) ) ).
fof(t66_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  ( (r2_tarski(C, k2_flang_3(A, B)) & r2_tarski(D, k2_flang_3(A, B)))  => r2_tarski(k1_flang_1(A, C, D), k2_flang_3(A, B))) ) ) ) ) ) ) ) ).
fof(t67_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k8_afinsq_1(A))) =>  ( (r1_tarski(B, k2_flang_3(A, D)) & r1_tarski(C, k2_flang_3(A, D)))  => r1_tarski(k6_flang_1(A, B, C), k2_flang_3(A, D))) ) ) ) ) ) ) ) ).
fof(t68_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) => r1_tarski(k6_flang_1(A, B, B), k2_flang_3(A, B))) ) ) ).
fof(t69_flang_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (k2_flang_3(A, C)=k1_tarski(B) => B=k2_flang_1(A)) ) ) ) ) ).
fof(t70_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) => k6_flang_1(A, B, k2_flang_3(A, B))=k6_flang_1(A, k2_flang_3(A, B), B)) ) ) ).
fof(t71_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) => k6_flang_1(A, k7_flang_1(A, B, C), k2_flang_3(A, B))=k6_flang_1(A, k2_flang_3(A, B), k7_flang_1(A, B, C))) ) ) ) ) ).
fof(t72_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k6_flang_1(A, k1_flang_2(A, B, C, D), k2_flang_3(A, B))=k6_flang_1(A, k2_flang_3(A, B), k1_flang_2(A, B, C, D))) ) ) ) ) ) ) ).
fof(t73_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (r2_tarski(k2_flang_1(A), C) =>  (r1_tarski(B, k6_flang_1(A, B, k2_flang_3(A, C))) & r1_tarski(B, k6_flang_1(A, k2_flang_3(A, C), B))) ) ) ) ) ) ) ).
fof(t74_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) => k6_flang_1(A, k2_flang_3(A, B), k2_flang_3(A, B))=k1_flang_3(A, B, 2)) ) ) ).
fof(t75_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) => k6_flang_1(A, k2_flang_3(A, B), k7_flang_1(A, B, C))=k1_flang_3(A, B, k2_xcmplx_0(C, 1))) ) ) ) ) ).
fof(t76_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) => k6_flang_1(A, k2_flang_3(A, B), B)=k1_flang_3(A, B, 2)) ) ) ).
fof(t77_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(C, D) => k6_flang_1(A, k2_flang_3(A, B), k1_flang_2(A, B, C, D))=k1_flang_3(A, B, k2_xcmplx_0(C, 1))) ) ) ) ) ) ) ) ).
fof(t78_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_tarski(B, k2_flang_3(A, C)) =>  (r1_xxreal_0(D, k5_numbers) | r1_tarski(k7_flang_1(A, B, D), k2_flang_3(A, C))) ) ) ) ) ) ) ) ) ).
fof(t79_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) => k6_flang_1(A, k2_flang_3(A, B), k2_flang_2(A, B))=k6_flang_1(A, k2_flang_2(A, B), k2_flang_3(A, B))) ) ) ).
fof(t80_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) => k6_flang_1(A, k2_flang_3(A, B), k2_flang_2(A, B))=k2_flang_3(A, B)) ) ) ).
fof(t81_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (r1_tarski(k2_flang_2(A, B), k2_flang_3(A, B)) <=> r2_tarski(k2_flang_1(A), B)) ) ) ) ).
fof(t82_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (r1_tarski(B, k2_flang_3(A, C)) => r1_tarski(k2_flang_3(A, B), k2_flang_3(A, C))) ) ) ) ) ) ).
fof(t83_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (r1_tarski(B, k2_flang_3(A, C)) => k2_flang_3(A, C)=k2_flang_3(A, k4_subset_1(k8_afinsq_1(A), C, B))) ) ) ) ) ) ).
fof(t84_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  => r1_tarski(k1_flang_3(A, B, C), k2_flang_3(A, B))) ) ) ) ) ) ).
fof(t85_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  => r1_tarski(k1_flang_2(A, B, C, D), k2_flang_3(A, B))) ) ) ) ) ) ) ) ).
fof(t86_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) => k6_flang_1(A, k8_flang_1(A, B), k2_flang_3(A, B))=k6_flang_1(A, k2_flang_3(A, B), k8_flang_1(A, B))) ) ) ).
fof(t87_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) => r1_tarski(k7_flang_1(A, k2_flang_3(A, B), C), k1_flang_3(A, B, C))) ) ) ) ) ).
fof(t88_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => r1_tarski(k1_flang_2(A, k2_flang_3(A, B), C, D), k1_flang_3(A, B, C))) ) ) ) ) ) ) ).
fof(t89_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_tarski(B, k2_flang_3(A, C)) =>  (r1_xxreal_0(D, k5_numbers) | r1_tarski(k1_flang_3(A, B, D), k2_flang_3(A, C))) ) ) ) ) ) ) ) ) ).
fof(t90_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) => k6_flang_1(A, k2_flang_3(A, B), k1_flang_3(A, B, C))=k1_flang_3(A, B, k2_xcmplx_0(C, 1))) ) ) ) ) ).
fof(t91_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) => k6_flang_1(A, k2_flang_3(A, B), k1_flang_3(A, B, C))=k6_flang_1(A, k1_flang_3(A, B, C), k2_flang_3(A, B))) ) ) ) ) ).
fof(t92_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) => k6_flang_1(A, k2_flang_3(A, B), k8_flang_1(A, B))=k2_flang_3(A, B)) ) ) ).
fof(t93_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (r1_tarski(C, k8_flang_1(A, B)) =>  (r1_tarski(k6_flang_1(A, k2_flang_3(A, B), C), k2_flang_3(A, B)) & r1_tarski(k6_flang_1(A, C, k2_flang_3(A, B)), k2_flang_3(A, B))) ) ) ) ) ) ) ).
fof(t94_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) => r1_tarski(k2_flang_3(A, k9_subset_1(k8_afinsq_1(A), B, C)), k9_subset_1(k8_afinsq_1(A), k2_flang_3(A, B), k2_flang_3(A, C)))) ) ) ) ) ).
fof(t95_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) => r1_tarski(k4_subset_1(k8_afinsq_1(A), k2_flang_3(A, B), k2_flang_3(A, C)), k2_flang_3(A, k4_subset_1(k8_afinsq_1(A), B, C)))) ) ) ) ) ).
fof(t96_flang_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (r2_tarski(k5_afinsq_1(B), k2_flang_3(A, C)) <=> r2_tarski(k5_afinsq_1(B), C)) ) ) ) ) ).
fof(dt_k1_flang_3, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) & v7_ordinal1(C))  => m1_subset_1(k1_flang_3(A, B, C), k1_zfmisc_1(k8_afinsq_1(A)))) ) ).
fof(dt_k2_flang_3, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) => m1_subset_1(k2_flang_3(A, B), k1_zfmisc_1(k8_afinsq_1(A)))) ) ).
fof(d1_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (v7_ordinal1(C) => k1_flang_3(A, B, C)=k3_tarski(a_3_0_flang_3(A, B, C))) ) ) ) ) ).
fof(d2_flang_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) => k2_flang_3(A, B)=k3_tarski(a_2_0_flang_3(A, B))) ) ) ).
fof(fraenkel_a_3_0_flang_3, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(B))) & v7_ordinal1(D))  =>  (r2_hidden(A, a_3_0_flang_3(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(k8_afinsq_1(B))) &  (A=E &  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(D, F) & E=k7_flang_1(B, C, F)) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_flang_3, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(B))) =>  (r2_hidden(A, a_2_0_flang_3(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(k8_afinsq_1(B))) &  (A=D &  (? [E] :  (v7_ordinal1(E) &  ( ~ (r1_xxreal_0(E, k5_numbers))  & D=k7_flang_1(B, C, E)) ) ) ) ) ) ) ) ) ).
fof(fc1_flexary1, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) & v3_valued_0(C)) ) ) ) )  =>  (v1_xcmplx_0(k1_flexary1(B, A, C, C)) & v1_xreal_0(k1_flexary1(B, A, C, C))) ) ) ).
fof(fc2_flexary1, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) & v4_valued_0(C)) ) ) ) )  =>  (v7_ordinal1(k1_flexary1(B, A, C, C)) & v1_xcmplx_0(k1_flexary1(B, A, C, C))) ) ) ).
fof(fc3_flexary1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v4_valued_0(B)) ) ) )  =>  (v7_ordinal1(k2_flexary1(A, B)) & v1_xcmplx_0(k2_flexary1(A, B))) ) ) ).
fof(fc4_flexary1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_relat_1(B) &  (v1_funct_1(B) & v4_valued_0(B)) ) )  =>  (v1_relat_1(k4_flexary1(A, B)) &  (v1_funct_1(k4_flexary1(A, B)) &  (v3_valued_0(k4_flexary1(A, B)) & v4_valued_0(k4_flexary1(A, B))) ) ) ) ) ).
fof(fc5_flexary1, axiom,  (! [A, B] :  ( (v1_xreal_0(A) &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v3_valued_0(B)) ) ) )  =>  (v1_relat_1(k4_flexary1(A, B)) &  (v1_funct_1(k4_flexary1(A, B)) &  (v1_finseq_1(k4_flexary1(A, B)) & v3_valued_0(k4_flexary1(A, B))) ) ) ) ) ).
fof(fc6_flexary1, axiom,  (! [A, B] :  ( (v1_xreal_0(A) &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v3_valued_0(B)) ) ) )  =>  (v1_relat_1(k4_flexary1(A, B)) &  (v1_funct_1(k4_flexary1(A, B)) &  (v3_card_1(k4_flexary1(A, B), k3_finseq_1(B)) & v3_valued_0(k4_flexary1(A, B))) ) ) ) ) ).
fof(fc7_flexary1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_funct_1(B) & v4_valued_0(B)) ) ) )  =>  (v1_relat_1(k4_flexary1(k2_xcmplx_0(2, A), B)) &  (v1_funct_1(k4_flexary1(k2_xcmplx_0(2, A), B)) &  (v2_funct_1(k4_flexary1(k2_xcmplx_0(2, A), B)) & v3_valued_0(k4_flexary1(k2_xcmplx_0(2, A), B))) ) ) ) ) ).
fof(cc1_flexary1, axiom,  (! [A] :  (! [B] :  (m1_finseq_1(B, k13_finseq_1(A)) =>  (v1_xboole_0(B) => v1_flexary1(B)) ) ) ) ).
fof(rc1_flexary1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_funcop_1(A) &  (v2_funcop_1(A) & v1_flexary1(A)) ) ) ) ) ).
fof(rc2_flexary1, axiom,  (! [A] :  (? [B] :  (m1_finseq_1(B, k13_finseq_1(A)) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k13_finseq_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_funcop_1(B) &  (v2_funcop_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) &  (v1_pre_poly(B) &  (v2_pre_poly(B) & v1_flexary1(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc8_flexary1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_funcop_1(A) & v1_flexary1(A)) ) )  => v2_funct_1(k1_funct_1(A, B))) ) ).
fof(fc9_flexary1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) )  => v1_flexary1(k5_finseq_1(A))) ) ).
fof(rc3_flexary1, axiom,  (! [A, B] :  ( (v1_finset_1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  (? [C] :  (m1_flexary1(C, A) &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, k13_finseq_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v3_card_1(C, B) &  (v1_funcop_1(C) &  (v2_funcop_1(C) &  (v1_finseq_1(C) &  (v2_finseq_1(C) &  (v1_pre_poly(C) &  (v2_pre_poly(C) & v1_flexary1(C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc10_flexary1, axiom,  (! [A, B, C] :  ( ( (v6_membered(A) & v1_finset_1(A))  & m1_flexary1(B, A))  => v4_valued_0(k1_funct_1(B, C))) ) ).
fof(fc11_flexary1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(A)) )  & m1_flexary1(B, k9_xtuple_0(A)))  =>  (v1_relat_1(k3_relat_1(k1_funct_1(B, C), A)) & v1_finseq_1(k3_relat_1(k1_funct_1(B, C), A))) ) ) ).
fof(rc4_flexary1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v1_pre_poly(A) &  (v2_pre_poly(A) & v7_valued_2(A)) ) ) ) ) ) ) ) ) ).
fof(fc12_flexary1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k6_fomodel2(A, B)) &  (v1_funct_1(k6_fomodel2(A, B)) & v1_funcop_1(k6_fomodel2(A, B))) ) ) ) ).
fof(fc13_flexary1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) &  (v5_relat_1(B, k13_finseq_1(k9_xtuple_0(A))) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k6_fomodel2(B, A)) &  (v1_funct_1(k6_fomodel2(B, A)) & v1_pre_poly(k6_fomodel2(B, A))) ) ) ) ).
fof(fc14_flexary1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) &  (v5_relat_1(B, k13_finseq_1(k9_xtuple_0(A))) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) )  => v3_card_1(k1_funct_1(k6_fomodel2(B, A), C), k3_finseq_1(k1_funct_1(B, C)))) ) ).
fof(fc15_flexary1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_funcop_1(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k6_fomodel2(A, B)) &  (v1_funct_1(k6_fomodel2(A, B)) & v1_finseq_1(k6_fomodel2(A, B))) ) ) ) ).
fof(fc16_flexary1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_funcop_1(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k6_fomodel2(A, B)) &  (v1_funct_1(k6_fomodel2(A, B)) & v3_card_1(k6_fomodel2(A, B), k3_finseq_1(A))) ) ) ) ).
fof(fc17_flexary1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) ) )  =>  (v1_relat_1(k6_fomodel2(A, B)) &  (v1_funct_1(k6_fomodel2(A, B)) & v7_valued_2(k6_fomodel2(A, B))) ) ) ) ).
fof(fc18_flexary1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v4_valued_0(B)) ) )  =>  (v1_relat_1(k6_fomodel2(A, B)) &  (v1_funct_1(k6_fomodel2(A, B)) & v12_valued_2(k6_fomodel2(A, B))) ) ) ) ).
fof(fc19_flexary1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) &  (v1_pre_poly(A) & v7_valued_2(A)) ) ) )  =>  (v1_relat_1(k6_flexary1(A)) &  (v1_funct_1(k6_flexary1(A)) &  (v1_finseq_1(k6_flexary1(A)) & v1_valued_0(k6_flexary1(A))) ) ) ) ) ).
fof(fc20_flexary1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) &  (v1_pre_poly(A) & v7_valued_2(A)) ) ) )  =>  (v1_relat_1(k6_flexary1(A)) &  (v1_funct_1(k6_flexary1(A)) &  (v3_card_1(k6_flexary1(A), k3_finseq_1(A)) & v1_valued_0(k6_flexary1(A))) ) ) ) ) ).
fof(fc21_flexary1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_pre_poly(A) & v12_valued_2(A)) ) )  =>  (v1_relat_1(k6_flexary1(A)) &  (v1_funct_1(k6_flexary1(A)) &  (v1_valued_0(k6_flexary1(A)) & v4_valued_0(k6_flexary1(A))) ) ) ) ) ).
fof(fc22_flexary1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v7_valued_2(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v7_valued_2(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v1_finseq_1(k7_finseq_1(A, B)) & v7_valued_2(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc23_flexary1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_valued_0(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v2_valued_0(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v1_finseq_1(k7_finseq_1(A, B)) & v2_valued_0(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc24_flexary1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v7_valued_2(A)) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v7_valued_2(k5_relat_1(A, B))) ) ) ).
fof(fc25_flexary1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_pre_poly(A)) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v1_pre_poly(k5_relat_1(A, B))) ) ) ).
fof(fc26_flexary1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  => v7_valued_2(k5_finseq_1(A))) ) ).
fof(fc27_flexary1, axiom, v6_valued_2(k13_finseq_1(k4_ordinal1))).
fof(fc28_flexary1, axiom, v1_valued_2(k13_finseq_1(k2_numbers))).
fof(t1_flexary1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (! [B] :  (r2_hidden(B, k9_matrix_0(A)) <=>  (? [C] :  (? [D] :  (r2_hidden(C, k9_xtuple_0(A)) &  (r2_hidden(D, k9_xtuple_0(k1_funct_1(A, C))) & B=k1_funct_1(k1_funct_1(A, C), D)) ) ) ) ) ) ) ) ).
fof(t2_flexary1, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, k13_finseq_1(A)) =>  (! [C] :  (m2_finseq_1(C, k13_finseq_1(A)) => k9_matrix_0(k8_finseq_1(k13_finseq_1(A), B, C))=k2_xboole_0(k9_matrix_0(B), k9_matrix_0(C))) ) ) ) ) ).
fof(t3_flexary1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, k13_finseq_1(A)) =>  (! [C] :  (m2_finseq_1(C, k13_finseq_1(A)) => k1_finsop_1(k3_finseq_2(A), k8_finseq_1(k13_finseq_1(A), B, C), k11_monoid_0(A))=k1_pre_poly(A, k1_finsop_1(k3_finseq_2(A), B, k11_monoid_0(A)), k1_finsop_1(k3_finseq_2(A), C, k11_monoid_0(A)))) ) ) ) ) ) ).
fof(t4_flexary1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, k13_finseq_1(A)) => k2_relset_1(A, k1_finsop_1(k3_finseq_2(A), B, k11_monoid_0(A)))=k9_matrix_0(B)) ) ) ) ).
fof(t5_flexary1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, k13_finseq_1(A)) =>  (! [D] :  (m2_finseq_1(D, k13_finseq_1(B)) =>  (C=D => k1_finsop_1(k3_finseq_2(A), C, k11_monoid_0(A))=k1_finsop_1(k3_finseq_2(B), D, k11_monoid_0(B))) ) ) ) ) ) ) ) ) ).
fof(t6_flexary1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, k13_finseq_1(A)) =>  (r2_tarski(B, k4_finseq_1(k1_finsop_1(k3_finseq_2(A), C, k11_monoid_0(A)))) <=>  (? [D] :  (v7_ordinal1(D) &  (? [E] :  (v7_ordinal1(E) &  (r2_tarski(k1_nat_1(D, 1), k4_finseq_1(C)) &  (r2_tarski(E, k4_finseq_1(k1_funct_1(C, k1_nat_1(D, 1)))) & B=k1_nat_1(E, k3_finseq_1(k1_finsop_1(k3_finseq_2(A), k17_finseq_1(k13_finseq_1(A), D, C), k11_monoid_0(A))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_flexary1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, k13_finseq_1(A)) =>  (! [D] :  (m2_finseq_1(D, k13_finseq_1(A)) =>  (r2_tarski(B, k4_finseq_1(k1_finsop_1(k3_finseq_2(A), C, k11_monoid_0(A)))) =>  (k1_funct_1(k1_finsop_1(k3_finseq_2(A), C, k11_monoid_0(A)), B)=k1_funct_1(k1_finsop_1(k3_finseq_2(A), k8_finseq_1(k13_finseq_1(A), C, D), k11_monoid_0(A)), B) & k1_funct_1(k1_finsop_1(k3_finseq_2(A), C, k11_monoid_0(A)), B)=k1_funct_1(k1_finsop_1(k3_finseq_2(A), k8_finseq_1(k13_finseq_1(A), D, C), k11_monoid_0(A)), k1_nat_1(B, k3_finseq_1(k1_finsop_1(k3_finseq_2(A), D, k11_monoid_0(A)))))) ) ) ) ) ) ) ) ) ) ).
fof(t8_flexary1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_1(D, k13_finseq_1(A)) =>  (r2_tarski(B, k4_finseq_1(k1_funct_1(D, k1_nat_1(C, 1)))) => k1_funct_1(k1_funct_1(D, k1_nat_1(C, 1)), B)=k1_funct_1(k1_finsop_1(k3_finseq_2(A), D, k11_monoid_0(A)), k1_nat_1(B, k3_finseq_1(k1_finsop_1(k3_finseq_2(A), k17_finseq_1(k13_finseq_1(A), C, D), k11_monoid_0(A)))))) ) ) ) ) ) ) ) ) ).
fof(d1_flexary1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_valued_0(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_valued_0(D)) )  =>  (! [E] :  (v1_xcmplx_0(E) =>  ( ( (C=D & r1_xxreal_0(A, B))  =>  (E=k1_flexary1(A, B, C, D) <=>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) &  (v1_finseq_1(F) & v1_valued_0(F)) ) )  =>  ( (! [G] :  (v7_ordinal1(G) =>  ~ ( (r1_xxreal_0(k5_numbers, G) &  (r1_xxreal_0(G, k7_nat_d(B, A)) &  ~ (k1_funct_1(F, k1_nat_1(G, 1))=k1_funct_1(C, k2_xcmplx_0(G, A))) ) ) ) ) )  => E=k16_rvsum_1(k16_finseq_1(k1_nat_1(k7_nat_d(B, A), 1), F))) ) ) ) )  &  ( ~ ( (C=D & r1_xxreal_0(A, B)) )  =>  (E=k1_flexary1(A, B, C, D) <=> E=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_flexary1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_valued_0(C)) )  =>  ~ ( (r1_xxreal_0(A, B) &  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v1_finseq_1(D) & v1_valued_0(D)) ) )  =>  ~ ( (k1_flexary1(A, B, C, C)=k16_rvsum_1(D) &  (k3_finseq_1(D)=k1_nat_1(k7_nat_d(B, A), 1) &  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(k5_numbers, E) &  (r1_xxreal_0(E, k7_nat_d(B, A)) &  ~ (k1_funct_1(D, k1_nat_1(E, 1))=k1_funct_1(C, k2_xcmplx_0(E, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_flexary1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_valued_0(C)) )  =>  ~ ( ( ~ (k1_flexary1(A, B, C, C)=k5_numbers)  &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(A, D) &  (r1_xxreal_0(D, B) & r2_tarski(D, k9_xtuple_0(C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_flexary1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  => k1_flexary1(A, A, B, B)=k1_funct_1(B, A)) ) ) ) ).
fof(t12_flexary1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_valued_0(C)) )  =>  (r1_xxreal_0(A, k1_nat_1(B, 1)) => k1_flexary1(A, k1_nat_1(B, 1), C, C)=k2_xcmplx_0(k1_flexary1(A, B, C, C), k1_funct_1(C, k1_nat_1(B, 1)))) ) ) ) ) ) ) ).
fof(t13_flexary1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_valued_0(C)) )  =>  (r1_xxreal_0(A, B) => k1_flexary1(A, B, C, C)=k2_xcmplx_0(k1_funct_1(C, A), k1_flexary1(k1_nat_1(A, 1), B, C, C))) ) ) ) ) ) ) ).
fof(t14_flexary1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_valued_0(D)) )  =>  ( (r1_xxreal_0(A, B) & r1_xxreal_0(B, C))  => k2_xcmplx_0(k1_flexary1(A, B, D, D), k1_flexary1(k1_nat_1(B, 1), C, D, D))=k1_flexary1(A, C, D, D)) ) ) ) ) ) ) ) ) ).
fof(t15_flexary1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) & v1_valued_0(C)) ) )  =>  ( ~ (r1_xxreal_0(A, k3_finseq_1(C)))  => k1_flexary1(A, B, C, C)=k5_numbers) ) ) ) ) ) ) ).
fof(t16_flexary1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) & v1_valued_0(C)) ) )  =>  (r1_xxreal_0(k3_finseq_1(C), B) => k1_flexary1(A, B, C, C)=k1_flexary1(A, k3_finseq_1(C), C, C)) ) ) ) ) ) ) ).
fof(t17_flexary1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_valued_0(B)) ) )  => k1_flexary1(k5_numbers, A, B, B)=k1_flexary1(1, A, B, B)) ) ) ) ).
fof(t18_flexary1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_valued_0(A)) ) )  => k1_flexary1(1, k3_finseq_1(A), A, A)=k16_rvsum_1(A)) ) ).
fof(t19_flexary1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) & v1_valued_0(C)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v1_finseq_1(D) & v1_valued_0(D)) ) )  => k1_flexary1(A, B, k7_finseq_1(C, D), k7_finseq_1(C, D))=k2_xcmplx_0(k1_flexary1(A, B, C, C), k1_flexary1(k7_nat_d(A, k3_finseq_1(C)), k7_nat_d(B, k3_finseq_1(C)), D, D))) ) ) ) ) ) ) ) ).
fof(d2_flexary1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  =>  (v1_finset_1(k3_xboole_0(k9_xtuple_0(B), k4_ordinal1)) =>  (! [C] :  (v1_xcmplx_0(C) =>  (C=k2_flexary1(A, B) <=>  (! [D] :  (v7_ordinal1(D) =>  ( (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k9_xtuple_0(B)) => r1_xxreal_0(E, D)) ) )  => C=k1_flexary1(A, D, B, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_flexary1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_valued_0(B)) ) )  => k3_flexary1(A, B)=k1_flexary1(A, k3_finseq_1(B), B, B)) ) ) ) ).
fof(t20_flexary1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_valued_0(B)) ) )  => k2_xcmplx_0(k1_funct_1(B, A), k2_flexary1(k1_nat_1(A, 1), B))=k2_flexary1(A, B)) ) ) ) ).
fof(t21_flexary1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_valued_0(A)) ) )  => k16_rvsum_1(A)=k3_flexary1(1, A)) ) ).
fof(t22_flexary1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_valued_0(A)) ) )  => k16_rvsum_1(A)=k2_xcmplx_0(k1_funct_1(A, 1), k3_flexary1(2, A))) ) ).
fof(d4_flexary1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_valued_0(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v3_valued_0(C)) )  =>  (C=k4_flexary1(A, B) <=>  (k9_xtuple_0(C)=k9_xtuple_0(B) &  (! [D] :  (r2_hidden(D, k9_xtuple_0(B)) => k1_funct_1(C, D)=k2_power(A, k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t23_flexary1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k4_flexary1(A, k9_finseq_1(B))=k9_finseq_1(k2_power(A, B))) ) ) ) ).
fof(t24_flexary1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v3_valued_0(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) & v3_valued_0(C)) ) )  => k4_flexary1(A, k7_finseq_1(B, C))=k7_finseq_1(k4_flexary1(A, B), k4_flexary1(A, C))) ) ) ) ) ) ).
fof(t25_flexary1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => k3_relat_1(B, k4_flexary1(2, A))=k4_flexary1(2, k3_relat_1(B, A))) ) ) ) ).
fof(t26_flexary1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) &  (v4_valued_0(B) & v5_valued_0(B)) ) ) )  =>  ~ ( ( ~ (r1_xxreal_0(A, 1))  & r1_xxreal_0(k3_xcmplx_0(2, k1_newton(A, k1_funct_1(B, k3_finseq_1(B)))), k2_xcmplx_0(k1_funct_1(k4_flexary1(A, B), 1), k3_flexary1(2, k4_flexary1(A, B))))) ) ) ) ) ) ).
fof(t27_flexary1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) &  (v4_valued_0(B) & v5_valued_0(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) &  (v4_valued_0(C) & v5_valued_0(C)) ) ) )  =>  (k2_xcmplx_0(k1_funct_1(k4_flexary1(A, B), 1), k3_flexary1(2, k4_flexary1(A, B)))=k2_xcmplx_0(k1_funct_1(k4_flexary1(A, C), 1), k3_flexary1(2, k4_flexary1(A, C))) =>  (r1_xxreal_0(A, 1) | B=C) ) ) ) ) ) ) ) ).
fof(t28_flexary1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v4_valued_0(C)) )  =>  ( ~ (r1_xxreal_0(B, 1))  => k10_relat_1(k4_flexary1(B, C), k1_newton(B, A))=k10_relat_1(C, A)) ) ) ) ) ) ) ).
fof(t29_flexary1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v4_valued_0(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v4_valued_0(C)) )  =>  ( ~ (r1_xxreal_0(A, 1))  =>  (r2_classes1(B, C) <=> r2_classes1(k4_flexary1(A, B), k4_flexary1(A, C))) ) ) ) ) ) ) ) ).
fof(t30_flexary1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_funct_1(B) &  (v1_finseq_1(B) & v4_valued_0(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v2_funct_1(C) &  (v1_finseq_1(C) & v4_valued_0(C)) ) ) )  =>  (k2_xcmplx_0(k1_funct_1(k4_flexary1(A, B), 1), k3_flexary1(2, k4_flexary1(A, B)))=k2_xcmplx_0(k1_funct_1(k4_flexary1(A, C), 1), k3_flexary1(2, k4_flexary1(A, C))) =>  (r1_xxreal_0(A, 1) | k1_rvsum_1(B)=k1_rvsum_1(C)) ) ) ) ) ) ) ) ).
fof(t31_flexary1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) &  (v4_valued_0(B) & v5_valued_0(B)) ) ) )  & A=k2_xcmplx_0(k1_funct_1(k4_flexary1(2, B), 1), k3_flexary1(2, k4_flexary1(2, B)))) ) ) ) ).
fof(d5_flexary1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (! [B] :  (! [C] : k5_flexary1(A, B, C)=k1_funct_1(k1_funct_1(A, B), C)) ) ) ) ).
fof(d6_flexary1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (v1_flexary1(A) <=>  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (r2_hidden(B, k9_xtuple_0(A)) &  (r2_hidden(D, k9_xtuple_0(k1_funct_1(A, B))) &  (r2_hidden(C, k9_xtuple_0(A)) &  (r2_hidden(E, k9_xtuple_0(k1_funct_1(A, C))) & k5_flexary1(A, B, D)=k5_flexary1(A, C, E)) ) ) )  =>  (B=C & D=E) ) ) ) ) ) ) ) ) ).
fof(t32_flexary1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (v1_flexary1(A) <=>  ( (! [B] : v2_funct_1(k1_funct_1(A, B)))  &  (! [B] :  (! [C] :  ( ~ (B=C)  => r1_xboole_0(k10_xtuple_0(k1_funct_1(A, B)), k10_xtuple_0(k1_funct_1(A, C)))) ) ) ) ) ) ) ).
fof(t33_flexary1, axiom,  (! [A] :  (! [B] :  ( (v1_flexary1(B) & m2_finseq_1(B, k13_finseq_1(A)))  =>  (! [C] :  ( (v1_flexary1(C) & m2_finseq_1(C, k13_finseq_1(A)))  =>  (r1_xboole_0(k9_matrix_0(B), k9_matrix_0(C)) => v1_flexary1(k8_finseq_1(k13_finseq_1(A), B, C))) ) ) ) ) ) ).
fof(d7_flexary1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  ( (v1_flexary1(B) & m2_finseq_1(B, k13_finseq_1(A)))  =>  (m1_flexary1(B, A) <=> k9_matrix_0(B)=A) ) ) ) ) ).
fof(t34_flexary1, axiom,  (m1_flexary1(k1_xboole_0, k1_xboole_0) & m1_flexary1(k9_finseq_1(k1_xboole_0), k1_xboole_0)) ).
fof(t35_flexary1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  ( (v2_funct_1(B) &  (v2_funct_2(B, A) & m2_finseq_1(B, A)) )  => m1_flexary1(k9_finseq_1(B), A)) ) ) ) ).
fof(t36_flexary1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (v1_finset_1(B) =>  (r1_xboole_0(A, B) =>  (! [C] :  (m1_flexary1(C, A) =>  (! [D] :  (m1_flexary1(D, B) => m1_flexary1(k7_finseq_1(C, D), k2_xboole_0(A, B))) ) ) ) ) ) ) ) ) ).
fof(t37_flexary1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_finset_1(B) =>  (! [C] :  (m1_flexary1(C, B) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v2_funct_1(D) & v1_finseq_1(D)) ) )  =>  ( (r2_tarski(A, k4_finseq_1(C)) & r1_tarski(k3_xboole_0(k10_xtuple_0(D), B), k10_xtuple_0(k1_funct_1(C, A))))  => m1_flexary1(k1_funct_7(C, A, D), k2_xboole_0(k10_xtuple_0(D), k6_subset_1(B, k10_xtuple_0(k1_funct_1(C, A)))))) ) ) ) ) ) ) ) ) ).
fof(t38_flexary1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finset_1(B)) )  =>  ~ ( (r1_tarski(k10_xtuple_0(B), k10_xtuple_0(A)) &  (! [C] :  ( (v3_card_1(C, k3_finseq_1(A)) & m1_flexary1(C, k9_xtuple_0(B)))  =>  ~ ( (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, k3_finseq_1(k1_funct_1(C, D))) &  ~ (k1_funct_1(A, D)=k1_funct_1(B, k5_flexary1(C, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_flexary1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ~ ( (r1_tarski(k10_xtuple_0(B), k10_xtuple_0(A)) &  (! [C] :  ( (v3_card_1(C, k3_finseq_1(A)) & m1_flexary1(C, k4_finseq_1(B)))  =>  ~ ( (! [D] :  (v7_ordinal1(D) =>  (v5_valued_0(k1_funct_1(C, D)) &  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, k3_finseq_1(k1_funct_1(C, D))) &  ~ (k1_funct_1(A, D)=k1_funct_1(B, k5_flexary1(C, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_flexary1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => k9_matrix_0(k6_fomodel2(A, B))=k7_relat_1(B, k9_matrix_0(A))) ) ) ) ).
fof(t41_flexary1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_funcop_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => k1_funct_1(k6_fomodel2(B, C), A)=k3_relat_1(k1_funct_1(B, A), C)) ) ) ) ) ).
fof(t42_flexary1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (! [D] : k5_flexary1(k6_fomodel2(A, B), C, D)=k1_funct_1(B, k5_flexary1(A, C, D))) ) ) ) ) ) ).
fof(d8_flexary1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_pre_poly(A) & v7_valued_2(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  =>  (B=k6_flexary1(A) <=>  (k9_xtuple_0(B)=k9_xtuple_0(A) &  (! [C] : k1_funct_1(B, C)=k16_rvsum_1(k1_funct_1(A, C))) ) ) ) ) ) ) ).
fof(t43_flexary1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (v1_pre_poly(k7_finseq_1(A, B)) =>  (v1_pre_poly(A) & v1_pre_poly(B)) ) ) ) ) ) ).
fof(t44_flexary1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (v7_valued_2(k7_finseq_1(A, B)) =>  (v7_valued_2(A) & v7_valued_2(B)) ) ) ) ) ) ).
fof(t45_flexary1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_valued_0(A)) ) )  => k6_flexary1(k9_finseq_1(A))=k9_finseq_1(k16_rvsum_1(A))) ) ).
fof(t46_flexary1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) &  (v1_pre_poly(A) & v7_valued_2(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) &  (v1_pre_poly(B) & v7_valued_2(B)) ) ) )  => k6_flexary1(k7_finseq_1(A, B))=k7_finseq_1(k6_flexary1(A), k6_flexary1(B))) ) ) ) ).
fof(t47_flexary1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_valued_0(A)) ) )  =>  (! [B] :  (m1_flexary1(B, k4_finseq_1(A)) => k16_rvsum_1(A)=k16_rvsum_1(k6_flexary1(k6_fomodel2(B, A)))) ) ) ) ).
fof(t48_flexary1, axiom,  (! [A] :  (m2_finseq_1(A, k13_finseq_1(k2_numbers)) => k16_rvsum_1(k1_finsop_1(k3_finseq_2(k2_numbers), A, k11_monoid_0(k2_numbers)))=k16_rvsum_1(k6_flexary1(A))) ) ).
fof(d9_flexary1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(A)) )  =>  (! [B] :  (m1_flexary1(B, k9_xtuple_0(A)) =>  (m2_flexary1(B, A) <=>  ( (! [C] :  (v7_ordinal1(C) =>  (? [D] :  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, k3_finseq_1(k1_funct_1(B, C))) &  ~ (D=k1_funct_1(A, k5_flexary1(B, C, E))) ) ) ) ) ) ) ) )  &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r2_tarski(E, k4_finseq_1(k1_funct_1(B, C))) &  (r2_tarski(F, k4_finseq_1(k1_funct_1(B, D))) & k1_funct_1(A, k5_flexary1(B, C, E))=k1_funct_1(A, k5_flexary1(B, D, F))) )  => C=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_flexary1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finset_1(B)) )  =>  (! [C] :  (m2_flexary1(C, B) =>  (k10_xtuple_0(k1_funct_1(k6_fomodel2(C, B), A))=k1_xboole_0 |  (k10_xtuple_0(k1_funct_1(k6_fomodel2(C, B), A))=k1_tarski(k1_funct_1(B, k5_flexary1(C, A, 1))) & r2_tarski(1, k4_finseq_1(k1_funct_1(C, A)))) ) ) ) ) ) ) ) ).
fof(t50_flexary1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (m2_flexary1(C, B) =>  (! [D] :  (m2_flexary1(D, B) =>  (k10_xtuple_0(k1_funct_1(k6_fomodel2(C, B), A))=k10_xtuple_0(k1_funct_1(k6_fomodel2(D, B), A)) => k10_xtuple_0(k1_funct_1(C, A))=k10_xtuple_0(k1_funct_1(D, A))) ) ) ) ) ) ) ) ) ).
fof(t51_flexary1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) & v1_valued_0(C)) ) )  =>  (! [D] :  (m1_flexary1(D, k4_finseq_1(C)) =>  (! [E] :  (m1_flexary1(E, k4_finseq_1(C)) =>  ( (m2_flexary1(D, B) &  (m2_flexary1(E, B) & k10_xtuple_0(k1_funct_1(k6_fomodel2(D, B), A))=k10_xtuple_0(k1_funct_1(k6_fomodel2(E, B), A))) )  => k1_funct_1(k6_flexary1(k6_fomodel2(D, C)), A)=k1_funct_1(k6_flexary1(k6_fomodel2(E, C)), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_flexary1, axiom,  ( (! [A] :  (v7_ordinal1(A) => k1_flexary1(k2_xcmplx_0(f3_s1_flexary1, k3_xcmplx_0(A, f5_s1_flexary1)), k1_nat_1(k2_xcmplx_0(f3_s1_flexary1, k3_xcmplx_0(A, f5_s1_flexary1)), k7_nat_d(f5_s1_flexary1, 1)), f1_s1_flexary1, f1_s1_flexary1)=k1_flexary1(k2_xcmplx_0(f4_s1_flexary1, k3_xcmplx_0(A, f6_s1_flexary1)), k1_nat_1(k2_xcmplx_0(f4_s1_flexary1, k3_xcmplx_0(A, f6_s1_flexary1)), k7_nat_d(f6_s1_flexary1, 1)), f2_s1_flexary1, f2_s1_flexary1)) )  => k3_flexary1(f3_s1_flexary1, f1_s1_flexary1)=k3_flexary1(f4_s1_flexary1, f2_s1_flexary1)) ).
fof(dt_k1_flexary1, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_valued_0(C)) )  &  (v1_relat_1(D) &  (v1_funct_1(D) & v1_valued_0(D)) ) ) ) )  => v1_xcmplx_0(k1_flexary1(A, B, C, D))) ) ).
fof(dt_k2_flexary1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) ) )  => v1_xcmplx_0(k2_flexary1(A, B))) ) ).
fof(dt_k3_flexary1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_valued_0(B)) ) ) )  => v1_xcmplx_0(k3_flexary1(A, B))) ) ).
fof(redefinition_k3_flexary1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_valued_0(B)) ) ) )  => k3_flexary1(A, B)=k2_flexary1(A, B)) ) ).
fof(dt_f1_s1_flexary1, axiom,  (v1_relat_1(f1_s1_flexary1) &  (v1_funct_1(f1_s1_flexary1) &  (v1_finseq_1(f1_s1_flexary1) & v1_valued_0(f1_s1_flexary1)) ) ) ).
fof(dt_f2_s1_flexary1, axiom,  (v1_relat_1(f2_s1_flexary1) &  (v1_funct_1(f2_s1_flexary1) &  (v1_finseq_1(f2_s1_flexary1) & v1_valued_0(f2_s1_flexary1)) ) ) ).
fof(dt_f3_s1_flexary1, axiom, v7_ordinal1(f3_s1_flexary1)).
fof(dt_f4_s1_flexary1, axiom, v7_ordinal1(f4_s1_flexary1)).
fof(dt_f5_s1_flexary1, axiom,  (v7_ordinal1(f5_s1_flexary1) &  ~ (v8_ordinal1(f5_s1_flexary1)) ) ).
fof(dt_f6_s1_flexary1, axiom,  (v7_ordinal1(f6_s1_flexary1) &  ~ (v8_ordinal1(f6_s1_flexary1)) ) ).
fof(dt_k4_flexary1, axiom,  (! [A, B] :  ( (v1_xreal_0(A) &  (v1_relat_1(B) &  (v1_funct_1(B) & v3_valued_0(B)) ) )  =>  (v1_relat_1(k4_flexary1(A, B)) &  (v1_funct_1(k4_flexary1(A, B)) & v3_valued_0(k4_flexary1(A, B))) ) ) ) ).
fof(dt_m1_flexary1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m1_flexary1(B, A) =>  (v1_flexary1(B) & m2_finseq_1(B, k13_finseq_1(A))) ) ) ) ) ).
fof(existence_m1_flexary1, axiom,  (! [A] :  (v1_finset_1(A) =>  (? [B] : m1_flexary1(B, A)) ) ) ).
fof(dt_k6_flexary1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_pre_poly(A) & v7_valued_2(A)) ) )  =>  (v1_relat_1(k6_flexary1(A)) &  (v1_funct_1(k6_flexary1(A)) & v1_valued_0(k6_flexary1(A))) ) ) ) ).
fof(dt_m2_flexary1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(A)) )  =>  (! [B] :  (m2_flexary1(B, A) => m1_flexary1(B, k9_xtuple_0(A))) ) ) ) ).
fof(existence_m2_flexary1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(A)) )  =>  (? [B] : m2_flexary1(B, A)) ) ) ).
fof(fc1_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k2_fomodel0(A)) &  (v1_funct_2(k2_fomodel0(A), k2_zfmisc_1(A, A), A) & v2_binop_1(k2_fomodel0(A), A)) ) ) ) ).
fof(rc1_fomodel0, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A))) &  (v1_relat_1(B) &  (v4_relat_1(B, k2_zfmisc_1(A, A)) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, k2_zfmisc_1(A, A)) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & v2_binop_1(B, A)) ) ) ) ) ) ) ) ) ).
fof(fc2_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k11_monoid_0(A)) &  (v1_funct_2(k11_monoid_0(A), k2_zfmisc_1(k3_finseq_2(A), k3_finseq_2(A)), k3_finseq_2(A)) & v2_binop_1(k11_monoid_0(A), k3_finseq_2(A))) ) ) ) ).
fof(fc3_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k4_xboole_0(k3_finseq_2(A), k1_tarski(k1_xboole_0)))) ) ) ).
fof(rc2_fomodel0, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & v7_ordinal1(B))  =>  (? [C] :  (m1_subset_1(C, k3_finseq_2(A)) &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, A) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v3_card_1(C, B) &  (v1_finseq_1(C) &  (v2_finseq_1(C) &  (v4_card_3(C) & v2_pre_poly(C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_fomodel0, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) )  =>  (? [C] : v2_fomodel0(C, A, B)) ) ) ).
fof(fc4_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k5_relat_1(A, k1_tarski(B))) &  (v1_funct_1(k5_relat_1(A, k1_tarski(B))) & v2_funct_1(k5_relat_1(A, k1_tarski(B)))) ) ) ) ).
fof(ie1_fomodel0, axiom,  (! [A] :  (v1_xboole_0(A) => k3_finseq_2(A)=k1_tarski(A)) ) ).
fof(ie2_fomodel0, axiom,  (! [A] :  (v1_xboole_0(A) => k1_tarski(A)=k3_finseq_2(A)) ) ).
fof(cc1_fomodel0, axiom,  (! [A] :  (v1_xboole_0(A) => v2_setfam_1(A)) ) ).
fof(fc5_fomodel0, axiom,  (! [A] :  (v1_xboole_0(A) => v2_setfam_1(k1_tarski(A))) ) ).
fof(fc6_fomodel0, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => v1_setfam_1(k4_finseq_2(B, A))) ) ).
fof(cc2_fomodel0, axiom,  (! [A] :  (v2_setfam_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v2_setfam_1(B)) ) ) ) ).
fof(fc7_fomodel0, axiom,  (! [A, B] :  (v8_ordinal1(B) => v2_setfam_1(k4_finseq_2(B, A))) ) ).
fof(fc8_fomodel0, axiom,  (! [A, B] :  ( (v1_xboole_0(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => v1_xboole_0(k4_finseq_2(B, A))) ) ).
fof(fc9_fomodel0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & v1_xboole_0(C)) )  => v2_fomodel0(k3_xboole_0(C, B), A, B)) ) ).
fof(fc10_fomodel0, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(B))  => v3_fomodel0(k3_xboole_0(B, A), A)) ) ).
fof(rc4_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] : v3_fomodel0(B, A)) ) ) ).
fof(fc11_fomodel0, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(B))  => v1_xboole_0(k1_funct_1(k9_fomodel0(A), B))) ) ).
fof(cc3_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k4_finseq_2(1, A))) => v3_fomodel0(B, A)) ) ) ) ).
fof(fc12_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  =>  (v1_relat_1(k13_funct_3(A, B)) &  (v1_funct_1(k13_funct_3(A, B)) & v1_finseq_1(k13_funct_3(A, B))) ) ) ) ).
fof(fc13_fomodel0, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) )  &  (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) ) ) )  =>  (v1_relat_1(k13_funct_3(B, C)) &  (v1_funct_1(k13_funct_3(B, C)) & v3_card_1(k13_funct_3(B, C), A)) ) ) ) ).
fof(fc14_fomodel0, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(C) &  (v4_relat_1(C, A) & v1_funct_1(C)) )  &  (v1_relat_1(D) &  (v4_relat_1(D, B) & v1_funct_1(D)) ) )  =>  (v1_relat_1(k13_funct_3(C, D)) &  (v4_relat_1(k13_funct_3(C, D), k3_xboole_0(A, B)) & v1_funct_1(k13_funct_3(C, D))) ) ) ) ).
fof(fc15_fomodel0, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) & v1_funct_1(B)) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) & v1_funct_1(C)) ) )  =>  (v1_relat_1(k13_funct_3(B, C)) &  (v4_relat_1(k13_funct_3(B, C), A) & v1_funct_1(k13_funct_3(B, C))) ) ) ) ).
fof(fc16_fomodel0, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  &  (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) & v1_partfun1(D, B)) ) ) )  =>  (v1_relat_1(k13_funct_3(C, D)) &  (v4_relat_1(k13_funct_3(C, D), k3_xboole_0(A, B)) &  (v1_funct_1(k13_funct_3(C, D)) & v1_partfun1(k13_funct_3(C, D), k3_xboole_0(A, B))) ) ) ) ) ).
fof(fc17_fomodel0, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (v1_relat_1(k13_funct_3(B, C)) &  (v4_relat_1(k13_funct_3(B, C), A) &  (v1_funct_1(k13_funct_3(B, C)) & v1_partfun1(k13_funct_3(B, C), A)) ) ) ) ) ).
fof(fc18_fomodel0, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(C) &  (v5_relat_1(C, A) & v1_funct_1(C)) )  &  (v1_relat_1(D) &  (v5_relat_1(D, B) & v1_funct_1(D)) ) )  =>  (v1_relat_1(k13_funct_3(C, D)) &  (v5_relat_1(k13_funct_3(C, D), k2_zfmisc_1(A, B)) & v1_funct_1(k13_funct_3(C, D))) ) ) ) ).
fof(rc5_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) &  (v4_card_3(B) & v2_pre_poly(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc6_fomodel0, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & v7_ordinal1(B))  =>  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, A) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v3_card_1(C, B) &  (v1_finseq_1(C) &  (v2_finseq_1(C) &  (v4_card_3(C) & v2_pre_poly(C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc19_fomodel0, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_relat_1(D) &  (v5_relat_1(D, A) &  (v1_funct_1(D) & v1_finseq_1(D)) ) ) ) ) )  =>  (v1_relat_1(k3_relat_1(D, C)) & v1_finseq_1(k3_relat_1(D, C))) ) ) ).
fof(fc20_fomodel0, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v7_ordinal1(C) &  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_relat_1(E) &  (v5_relat_1(E, A) &  (v1_funct_1(E) &  (v3_card_1(E, C) & v1_finseq_1(E)) ) ) ) ) ) ) )  => v3_card_1(k3_relat_1(E, D), C)) ) ).
fof(fc21_fomodel0, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (v7_ordinal1(C) &  ( (v3_card_1(D, C) & m1_subset_1(D, k3_finseq_2(A)))  &  (v3_card_1(E, C) & m1_subset_1(E, k3_finseq_2(A))) ) ) ) )  => v3_card_1(k11_fomodel0(A, B, D, E), C)) ) ).
fof(ie3_fomodel0, axiom,  (! [A, B] : k12_fomodel0(A, B)=k12_fomodel0(B, A)) ).
fof(ie4_fomodel0, axiom,  (! [A, B] : k3_xboole_0(A, B)=k12_fomodel0(A, B)) ).
fof(rd1_fomodel0, axiom,  (! [A, B] : k13_fomodel0(B, A)=A) ).
fof(ie5_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k9_subset_1(A, A, B)=k13_fomodel0(A, B)) ) ).
fof(ie6_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k13_fomodel0(A, B)=k9_subset_1(A, A, B)) ) ).
fof(fc22_fomodel0, axiom,  (! [A, B, C] : v1_xboole_0(k3_xboole_0(k6_subset_1(B, A), k3_xboole_0(A, C)))) ).
fof(ie7_fomodel0, axiom,  (! [A, B] : k6_subset_1(A, B)=k14_fomodel0(A, B)) ).
fof(ie8_fomodel0, axiom,  (! [A, B] : k15_fomodel0(A, B)=k13_fomodel0(B, A)) ).
fof(ie9_fomodel0, axiom,  (! [A, B] : k13_fomodel0(B, A)=k15_fomodel0(A, B)) ).
fof(ie10_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k2_xboole_0(A, B)=k13_fomodel0(B, A)) ) ).
fof(ie11_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k13_fomodel0(B, A)=k2_xboole_0(A, B)) ) ).
fof(fc23_fomodel0, axiom,  (! [A] :  (v1_relat_1(A) =>  (v1_relat_1(k18_finseq_1(A)) & v8_relat_2(k18_finseq_1(A))) ) ) ).
fof(fc24_fomodel0, axiom,  (! [A] :  (v1_relat_1(A) =>  (v1_relat_1(k18_finseq_1(A)) & v1_relat_2(k18_finseq_1(A))) ) ) ).
fof(fc25_fomodel0, axiom,  (! [A] :  (v4_funct_1(A) => v1_relat_1(k3_tarski(A))) ) ).
fof(ie12_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  => k6_relat_1(A, B)=k13_fomodel0(A, B)) ) ).
fof(fc26_fomodel0, axiom,  (! [A] : v1_xboole_0(k4_xboole_0(A, A))) ).
fof(fc27_fomodel0, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => v1_xboole_0(k4_xboole_0(k6_domain_1(A, k3_funct_2(A, A, k6_partfun1(A), B)), k6_domain_1(A, B)))) ) ).
fof(ie13_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_xboole_0(B) & v1_finseq_1(B)) ) ) )  => k7_finseq_1(A, B)=k13_fomodel0(B, A)) ) ).
fof(ie14_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_xboole_0(B) & v1_finseq_1(B)) ) ) )  => k13_fomodel0(B, A)=k7_finseq_1(A, B)) ) ).
fof(ie15_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_xboole_0(B) & v1_finseq_1(B)) ) ) )  => k7_finseq_1(B, A)=k13_fomodel0(B, A)) ) ).
fof(ie16_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_xboole_0(B) & v1_finseq_1(B)) ) ) )  => k13_fomodel0(B, A)=k7_finseq_1(B, A)) ) ).
fof(ie17_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  => k5_relat_1(B, A)=k13_fomodel0(A, B)) ) ).
fof(ie18_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  => k13_fomodel0(A, B)=k5_relat_1(B, A)) ) ).
fof(cc4_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  ( (v1_relat_1(C) & v5_relat_1(C, B))  =>  (v1_relat_1(C) & v5_relat_1(C, A)) ) ) ) ) ).
fof(cc5_fomodel0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v1_funct_2(C, A, B) => v1_partfun1(C, A)) ) ) ) ) ).
fof(fc28_fomodel0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  &  (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) ) )  =>  (v1_relat_1(k7_finseq_1(B, C)) &  (v5_relat_1(k7_finseq_1(B, C), A) &  (v1_funct_1(k7_finseq_1(B, C)) & v1_finseq_1(k7_finseq_1(B, C))) ) ) ) ) ).
fof(cc6_fomodel0, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k3_finseq_2(A)) => v5_relat_1(B, A)) ) ) ).
fof(fc29_fomodel0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) & v3_fomodel0(C, A)) )  => v3_fomodel0(k7_relat_1(k9_fomodel0(A), k4_finseq_2(B, C)), A)) ) ).
fof(fc30_fomodel0, axiom,  (! [A] :  (v1_relat_1(A) => v1_xboole_0(k4_xboole_0(A, k2_zfmisc_1(k9_xtuple_0(A), k10_xtuple_0(A))))) ) ).
fof(fc31_fomodel0, axiom,  (! [A, B, C] : v1_xboole_0(k5_xboole_0(k2_xboole_0(k2_xboole_0(A, B), C), k2_xboole_0(A, k2_xboole_0(B, C))))) ).
fof(fc32_fomodel0, axiom,  (! [A] : v1_xboole_0(k5_xboole_0(k6_partfun1(k1_tarski(A)), k1_tarski(k4_tarski(A, A))))) ).
fof(fc33_fomodel0, axiom,  (! [A, B] : v1_xboole_0(k5_xboole_0(k17_funcop_1(A, B), k1_tarski(k4_tarski(A, B))))) ).
fof(fc34_fomodel0, axiom,  (! [A] : v1_xboole_0(k5_xboole_0(k6_partfun1(k1_tarski(A)), k17_funcop_1(A, A)))) ).
fof(fc35_fomodel0, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => v1_finseq_1(k8_funct_4(A, B, C))) ) ).
fof(fc36_fomodel0, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(C) &  (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, C) & v1_finseq_1(D)) ) ) )  =>  (v1_relat_1(k17_fomodel0(A, B, D)) &  (v1_funct_1(k17_fomodel0(A, B, D)) &  (v3_card_1(k17_fomodel0(A, B, D), C) & v1_finseq_1(k17_fomodel0(A, B, D))) ) ) ) ) ).
fof(fc37_fomodel0, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, B) &  (v1_relat_1(D) &  (v5_relat_1(D, B) &  (v1_funct_1(D) & v1_finseq_1(D)) ) ) ) )  =>  (v1_relat_1(k17_fomodel0(A, C, D)) &  (v5_relat_1(k17_fomodel0(A, C, D), B) &  (v1_funct_1(k17_fomodel0(A, C, D)) & v1_finseq_1(k17_fomodel0(A, C, D))) ) ) ) ) ).
fof(fc38_fomodel0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(C, A))  =>  (v1_relat_1(k20_fomodel0(A, B, C)) &  (v1_funct_1(k20_fomodel0(A, B, C)) & v1_pre_poly(k20_fomodel0(A, B, C))) ) ) ) ).
fof(fc39_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_pre_poly(A)) )  => v1_finseq_1(k1_funct_1(A, B))) ) ).
fof(fc40_fomodel0, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(C, A) &  (v7_ordinal1(D) &  (v1_relat_1(E) &  (v5_relat_1(E, A) &  (v1_funct_1(E) &  (v3_card_1(E, D) & v1_finseq_1(E)) ) ) ) ) ) )  =>  (v1_relat_1(k1_funct_1(k20_fomodel0(A, B, C), E)) &  (v1_funct_1(k1_funct_1(k20_fomodel0(A, B, C), E)) &  (v3_card_1(k1_funct_1(k20_fomodel0(A, B, C), E), D) & v1_finseq_1(k1_funct_1(k20_fomodel0(A, B, C), E))) ) ) ) ) ).
fof(fc41_fomodel0, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(C, A) & v1_xboole_0(D)) )  => v1_xboole_0(k1_funct_1(k20_fomodel0(A, B, C), D))) ) ).
fof(fc42_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_relat_1(k8_fomodel0(A)) &  (v1_funct_1(k8_fomodel0(A)) & v1_pre_poly(k8_fomodel0(A))) ) ) ) ).
fof(rc7_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) &  (v4_card_3(B) & v2_pre_poly(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc43_fomodel0, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  &  (v7_ordinal1(C) &  (v1_relat_1(D) &  (v5_relat_1(D, A) &  (v1_funct_1(D) &  (v3_card_1(D, k2_xcmplx_0(B, C)) & v1_finseq_1(D)) ) ) ) ) ) )  => v1_xboole_0(k4_xboole_0(k1_tarski(k1_funct_1(D, B)), A))) ) ).
fof(fc44_fomodel0, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  (v3_card_1(D, k2_xcmplx_0(k2_xcmplx_0(B, 1), C)) & m1_subset_1(D, k3_finseq_2(A))) ) ) )  => v1_xboole_0(k4_xboole_0(k1_tarski(k1_funct_1(D, k2_xcmplx_0(B, 1))), A))) ) ).
fof(fc45_fomodel0, axiom,  (! [A] : v1_xboole_0(k5_xboole_0(k9_finseq_1(A), k1_tarski(k4_tarski(1, A))))) ).
fof(fc46_fomodel0, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, k2_xcmplx_0(A, 1)) & v1_finseq_1(B)) ) ) )  => v1_xboole_0(k5_xboole_0(k7_finseq_1(k5_relat_1(B, k2_finseq_1(A)), k9_finseq_1(k1_funct_1(B, k2_xcmplx_0(A, 1)))), B))) ) ).
fof(fc47_fomodel0, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, k2_xcmplx_0(A, B)) & v1_finseq_1(C)) ) ) ) )  =>  (v1_relat_1(k5_relat_1(C, k2_finseq_1(A))) &  (v1_funct_1(k5_relat_1(C, k2_finseq_1(A))) &  (v3_card_1(k5_relat_1(C, k2_finseq_1(A)), A) & v1_finseq_1(k5_relat_1(C, k2_finseq_1(A)))) ) ) ) ) ).
fof(cc7_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k1_tarski(k1_xboole_0)))  =>  (v1_relat_1(A) & v3_relat_1(A)) ) ) ).
fof(cc8_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_relat_1(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k1_tarski(k1_xboole_0))) ) ) ).
fof(fc48_fomodel0, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) &  (v1_relat_1(C) &  (v4_relat_1(C, A) & v1_partfun1(C, A)) ) )  =>  (v1_relat_1(k5_relat_1(C, B)) &  (v4_relat_1(k5_relat_1(C, B), B) & v1_partfun1(k5_relat_1(C, B), B)) ) ) ) ).
fof(fc49_fomodel0, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(C, B)) )  => v1_xboole_0(k5_xboole_0(k1_funct_1(k5_relat_1(A, B), C), k1_funct_1(A, C)))) ) ).
fof(fc50_fomodel0, axiom,  (! [A, B, C, D, E] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (m1_subset_1(D, B) &  (v1_funct_1(E) &  (v1_funct_2(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C)))) ) ) ) ) )  => v1_xboole_0(k5_xboole_0(k1_funct_1(k3_relat_1(E, A), D), k1_funct_1(A, k3_funct_2(B, C, E, D))))) ) ).
fof(cc9_fomodel0, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v3_xxreal_0(A)) )  =>  (v7_ordinal1(A) & v1_int_1(A)) ) ) ).
fof(fc51_fomodel0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  =>  (v1_xxreal_0(k6_xcmplx_0(k4_xxreal_0(A, B), A)) &  ~ (v3_xxreal_0(k6_xcmplx_0(k4_xxreal_0(A, B), A))) ) ) ) ).
fof(fc52_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_xboole_0(k4_xboole_0(B, A))) ) ).
fof(fc53_fomodel0, axiom,  (! [A, B] : v1_xboole_0(k4_xboole_0(k1_tarski(A), k2_tarski(A, B)))) ).
fof(fc54_fomodel0, axiom,  (! [A, B] : v1_xboole_0(k5_xboole_0(k1_xfamily(k4_tarski(A, B)), A))) ).
fof(fc55_fomodel0, axiom,  (! [A, B] : v1_xboole_0(k5_xboole_0(k2_xfamily(k4_tarski(A, B)), B))) ).
fof(rc8_fomodel0, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) & v2_xxreal_0(A))  &  ~ (v1_xboole_0(B)) )  =>  (? [C] :  (m1_subset_1(C, k6_subset_1(k3_finseq_2(B), k1_tarski(k1_xboole_0))) &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v3_card_1(C, A) &  (v1_finseq_1(C) &  (v2_finseq_1(C) &  (v4_card_3(C) & v2_pre_poly(C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc10_fomodel0, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, k2_xcmplx_0(A, k5_numbers)) & v1_finseq_1(B)) ) )  =>  (v1_relat_1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_finseq_1(B)) ) ) ) ) ) ) ).
fof(fc56_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_relat_1(k13_fomodel0(B, A))) ) ).
fof(fc57_fomodel0, axiom,  (! [A, B] :  (v1_funct_1(A) => v1_funct_1(k13_fomodel0(B, A))) ) ).
fof(fc58_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_finseq_1(A))  =>  (v1_relat_1(k13_fomodel0(B, A)) & v1_finseq_1(k13_fomodel0(B, A))) ) ) ).
fof(fc59_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(k13_fomodel0(B, A)) &  (v1_funct_1(k13_fomodel0(B, A)) &  (v3_card_1(k13_fomodel0(B, A), k3_finseq_1(A)) & v1_finseq_1(k13_fomodel0(B, A))) ) ) ) ) ).
fof(fc60_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) )  =>  ~ (v8_ordinal1(k1_card_1(A))) ) ) ).
fof(fc61_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(A) =>  (v1_relat_1(k5_relat_1(A, B)) & v4_relat_1(k5_relat_1(A, B), B)) ) ) ).
fof(fc62_fomodel0, axiom,  (! [A, B] :  (v1_xboole_0(B) => v1_xboole_0(k13_fomodel0(A, B))) ) ).
fof(fc63_fomodel0, axiom,  (! [A, B] :  (v1_xboole_0(B) =>  (v1_relat_1(k13_fomodel0(A, B)) & v5_relat_1(k13_fomodel0(A, B), A)) ) ) ).
fof(cc11_fomodel0, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v3_finseq_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  =>  (v1_relat_1(B) &  (v1_funct_1(B) & v1_pre_poly(B)) ) ) ) ) ) ).
fof(cc12_fomodel0, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k9_funct_2(A, k3_finseq_2(B))) => v1_pre_poly(C)) ) ) ).
fof(fc64_fomodel0, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) ) ) )  =>  (v1_relat_1(k13_fomodel0(B, C)) & v4_relat_1(k13_fomodel0(B, C), k2_finseq_1(k2_xcmplx_0(A, B)))) ) ) ).
fof(fc65_fomodel0, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) )  &  (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, B) & v1_finseq_1(D)) ) ) ) ) )  =>  (v1_relat_1(k7_finseq_1(C, D)) &  (v1_funct_1(k7_finseq_1(C, D)) &  (v3_card_1(k7_finseq_1(C, D), k2_xcmplx_0(A, B)) & v1_finseq_1(k7_finseq_1(C, D))) ) ) ) ) ).
fof(rc9_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, A) &  (v1_partfun1(B, A) & v1_relat_2(B)) ) ) ) ) ) ) ) ).
fof(cc13_fomodel0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, k2_xcmplx_0(A, 1)) & v1_finseq_1(B)) ) )  =>  (v1_relat_1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_finseq_1(B)) ) ) ) ) ) ) ).
fof(fc66_fomodel0, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => v1_xboole_0(k5_xboole_0(k3_funct_2(A, A, k6_partfun1(A), B), B))) ) ).
fof(fc67_fomodel0, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_finseq_1(B)) ) ) ) )  => v1_xboole_0(k4_xboole_0(k1_tarski(k1_funct_1(B, 1)), A))) ) ).
fof(rc10_fomodel0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) ) ) ) ) ).
fof(fc68_fomodel0, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) & v1_partfun1(C, A)) ) )  &  (v1_relat_1(D) &  (v4_relat_1(D, B) & v1_partfun1(D, B)) ) ) )  =>  (v1_relat_1(k3_relat_1(C, D)) &  (v4_relat_1(k3_relat_1(C, D), A) & v1_partfun1(k3_relat_1(C, D), A)) ) ) ) ).
fof(fc69_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(B) =>  (v1_relat_1(k13_fomodel0(A, B)) & v5_relat_1(k13_fomodel0(A, B), k2_xboole_0(A, k10_xtuple_0(B)))) ) ) ).
fof(fc70_fomodel0, axiom,  (! [A, B] :  ( (v4_funct_1(A) & v4_funct_1(B))  => v4_funct_1(k2_xboole_0(A, B))) ) ).
fof(cc14_fomodel0, axiom,  (! [A] :  (v3_finseq_1(A) => v5_finset_1(A)) ) ).
fof(rc11_fomodel0, axiom,  (? [A] :  (v4_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_zfmisc_1(A) &  (v5_finset_1(A) & v3_finseq_1(A)) ) ) ) ) ).
fof(fc71_fomodel0, axiom,  (! [A] :  ( (v4_funct_1(A) &  (v1_finset_1(A) & v5_finset_1(A)) )  => v1_finset_1(k21_fomodel0(A))) ) ).
fof(fc72_fomodel0, axiom,  (! [A] :  ( (v1_finset_1(A) & v3_finseq_1(A))  => v1_finset_1(k21_fomodel0(A))) ) ).
fof(fc73_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v1_xboole_0(k5_xboole_0(k21_fomodel0(k1_tarski(A)), k10_xtuple_0(A)))) ) ).
fof(fc74_fomodel0, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_xcmplx_0(A))  =>  (v1_xxreal_0(k9_complex1(A)) & v2_xxreal_0(k9_complex1(A))) ) ) ).
fof(fc75_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k9_setfam_1(A))) => v1_xboole_0(k4_xboole_0(k5_setfam_1(A, B), A))) ) ).
fof(fc76_fomodel0, axiom,  (! [A, B] : v1_xboole_0(k5_xboole_0(k2_xboole_0(k6_subset_1(A, B), k3_xboole_0(A, B)), A))) ).
fof(fc77_fomodel0, axiom,  (! [A, B, C] : v1_xboole_0(k5_xboole_0(k2_xboole_0(k3_xboole_0(A, B), k3_xboole_0(A, C)), k3_xboole_0(A, k2_xboole_0(B, C))))) ).
fof(fc78_fomodel0, axiom,  (! [A, B, C] : v1_xboole_0(k5_xboole_0(k7_subset_1(A, k6_subset_1(A, B), C), k6_subset_1(A, k2_xboole_0(B, C))))) ).
fof(fc79_fomodel0, axiom,  (! [A, B] :  ( (v4_funct_1(A) & v4_funct_1(B))  => v1_xboole_0(k5_xboole_0(k2_xboole_0(k21_fomodel0(A), k21_fomodel0(B)), k21_fomodel0(k2_xboole_0(A, B))))) ) ).
fof(cc15_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k3_fomodel0(k3_finseq_2(A), k6_subset_1(k3_finseq_2(A), k1_tarski(k1_xboole_0)))) =>  ( ~ (v1_xboole_0(B))  =>  ~ (v3_relat_1(B)) ) ) ) ) ) ).
fof(cc16_fomodel0, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  (m1_subset_1(B, k3_finseq_2(A)) => v1_xboole_0(B)) ) ) ) ).
fof(fc80_fomodel0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  => v5_relat_1(k1_funct_1(k9_fomodel0(A), B), A)) ) ).
fof(rd2_fomodel0, axiom,  (! [A] : k22_fomodel0(A)=A) ).
fof(cc17_fomodel0, axiom,  (! [A] :  (v1_setfam_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  ~ (v1_xboole_0(B)) ) )  =>  (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  & v5_relat_1(B, A)) ) ) ) ) ) ).
fof(fc81_fomodel0, axiom,  (! [A] : v1_setfam_1(k4_xboole_0(A, k1_tarski(k1_xboole_0)))) ).
fof(cc18_fomodel0, axiom,  (! [A] :  (v1_setfam_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_setfam_1(B)) ) ) ) ).
fof(fc82_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_finset_1(k13_finseq_1(A))) ) ) ).
fof(fc83_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v2_setfam_1(k13_finseq_1(A))) ) ) ).
fof(rc12_fomodel0, axiom,  (! [A] :  ( ~ (v2_setfam_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_xboole_0(B))  & v1_setfam_1(B)) ) ) ) ) ).
fof(fc84_fomodel0, axiom,  (! [A, B] :  (v7_ordinal1(B) => v1_xboole_0(k4_xboole_0(k4_finseq_2(B, A), k3_finseq_2(A)))) ) ).
fof(fc85_fomodel0, axiom,  (! [A] :  ~ (v1_xboole_0(k4_xboole_0(k9_setfam_1(A), A))) ) ).
fof(fc86_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(B) =>  (v1_relat_1(k13_fomodel0(A, B)) & v4_relat_1(k13_fomodel0(A, B), k2_xboole_0(A, k9_xtuple_0(B)))) ) ) ).
fof(ie19_fomodel0, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) & v1_funct_1(B)) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  => k1_funct_4(B, C)=k13_fomodel0(B, C)) ) ).
fof(ie20_fomodel0, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) & v1_funct_1(B)) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  => k13_fomodel0(B, C)=k1_funct_4(B, C)) ) ).
fof(fc87_fomodel0, axiom,  (! [A] :  ~ (v1_finset_1(k23_fomodel0(A))) ) ).
fof(fc88_fomodel0, axiom,  (! [A] : v1_xboole_0(k3_xboole_0(k23_fomodel0(A), A))) ).
fof(fc89_fomodel0, axiom,  (! [A] : v4_card_3(k23_fomodel0(A))) ).
fof(fc90_fomodel0, axiom, v1_xboole_0(k4_xboole_0(k4_ordinal1, k4_numbers))).
fof(fc91_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => v1_xboole_0(k5_xboole_0(k1_funct_1(k7_finseq_1(k9_finseq_1(A), B), 1), A))) ) ).
fof(fc92_fomodel0, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v8_ordinal1(B) &  (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) ) ) )  =>  (v1_relat_1(k13_fomodel0(B, C)) &  (v4_relat_1(k13_fomodel0(B, C), k2_finseq_1(k2_xcmplx_0(A, B))) & v1_partfun1(k13_fomodel0(B, C), k2_finseq_1(k2_xcmplx_0(A, B)))) ) ) ) ).
fof(fc93_fomodel0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  &  (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) ) )  => v1_xboole_0(k5_xboole_0(k1_funct_1(k9_fomodel0(A), k10_finseq_1(B, C)), k7_finseq_1(B, C)))) ) ).
fof(ie21_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  & v1_xboole_0(B))  => k1_funct_4(A, B)=k13_fomodel0(B, A)) ) ).
fof(ie22_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  & v1_xboole_0(B))  => k13_fomodel0(B, A)=k1_funct_4(A, B)) ) ).
fof(ie23_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  & v1_xboole_0(B))  => k1_funct_4(B, A)=k13_fomodel0(B, A)) ) ).
fof(ie24_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  & v1_xboole_0(B))  => k13_fomodel0(B, A)=k1_funct_4(B, A)) ) ).
fof(rc13_fomodel0, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v5_card_3(B)) ) ) ) ).
fof(fc94_fomodel0, axiom,  (! [A] :  ( (v5_finset_1(A) & v4_card_3(A))  => v4_card_3(k3_tarski(A))) ) ).
fof(fc95_fomodel0, axiom,  (! [A] :  ( (v4_funct_1(A) &  (v5_finset_1(A) & v4_card_3(A)) )  => v4_card_3(k21_fomodel0(A))) ) ).
fof(fc96_fomodel0, axiom,  (! [A, B] :  ( (v4_card_3(A) & v4_card_3(B))  => v4_card_3(k2_xboole_0(A, B))) ) ).
fof(ie25_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(B) => k24_fomodel0(A, B)=k5_relat_1(B, A)) ) ).
fof(ie26_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(B) => k5_relat_1(B, A)=k24_fomodel0(A, B)) ) ).
fof(fc97_fomodel0, axiom,  (! [A, B, C] : v1_xboole_0(k5_xboole_0(k6_subset_1(A, k6_subset_1(k2_xboole_0(A, B), C)), k3_xboole_0(A, C)))) ).
fof(ie27_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(B) => k25_fomodel0(A, B)=k5_relat_1(B, A)) ) ).
fof(ie28_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(B) => k5_relat_1(B, A)=k25_fomodel0(A, B)) ) ).
fof(ie29_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_relat_1(B))  => k26_fomodel0(A, B)=k27_fomodel0(A, B)) ) ).
fof(ie30_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_relat_1(B))  => k27_fomodel0(A, B)=k28_fomodel0(A, B)) ) ).
fof(ie31_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  => k1_funct_4(A, B)=k26_fomodel0(A, B)) ) ).
fof(ie32_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  => k26_fomodel0(A, B)=k1_funct_4(A, B)) ) ).
fof(fc98_fomodel0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) ) )  => v1_xboole_0(k5_xboole_0(k1_funct_1(k7_fomodel0(A), k7_finseq_1(k12_finseq_1(A, B), C)), B))) ) ).
fof(rc14_fomodel0, axiom,  (? [A] :  (v1_xreal_0(A) &  (v1_int_1(A) &  (v1_xxreal_0(A) &  (v3_xxreal_0(A) & v1_xcmplx_0(A)) ) ) ) ) ).
fof(cc19_fomodel0, axiom,  (! [A] :  ( (v1_int_1(A) & v2_xxreal_0(A))  =>  (v7_ordinal1(A) & v1_int_1(A)) ) ) ).
fof(fc99_fomodel0, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(B)))  => v1_xboole_0(k4_xboole_0(k7_subset_1(A, C, B), k6_subset_1(A, D)))) ) ).
fof(fc100_fomodel0, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(B)))  => v1_xboole_0(k4_xboole_0(k7_subset_1(A, C, B), k6_subset_1(A, D)))) ) ).
fof(fc101_fomodel0, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => v1_xboole_0(k4_xboole_0(k7_subset_1(A, C, B), k6_subset_1(A, B)))) ) ).
fof(fc102_fomodel0, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(B)))  => v1_xboole_0(k4_xboole_0(k6_subset_1(k2_xboole_0(C, D), B), A))) ) ).
fof(fc103_fomodel0, axiom,  (! [A, B, C] :  ( (v1_zfmisc_1(A) &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => v1_xboole_0(k5_xboole_0(B, C))) ) ).
fof(fc104_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_xboole_0(k4_xboole_0(k9_xtuple_0(B), k9_xtuple_0(A)))) ) ).
fof(fc105_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_xboole_0(k4_xboole_0(k10_xtuple_0(B), k10_xtuple_0(A)))) ) ).
fof(fc106_fomodel0, axiom,  (! [A, B] : v1_xboole_0(k4_xboole_0(k9_xtuple_0(k2_zfmisc_1(A, B)), A))) ).
fof(fc107_fomodel0, axiom,  (! [A, B] : v1_xboole_0(k5_xboole_0(k3_xboole_0(k9_xtuple_0(k2_zfmisc_1(A, B)), A), k9_xtuple_0(k2_zfmisc_1(A, B))))) ).
fof(fc108_fomodel0, axiom,  (! [A, B] : v1_xboole_0(k4_xboole_0(k10_xtuple_0(k2_zfmisc_1(A, B)), B))) ).
fof(fc109_fomodel0, axiom,  (! [A, B] : v1_xboole_0(k5_xboole_0(k3_xboole_0(k10_xtuple_0(k2_zfmisc_1(A, B)), B), k10_xtuple_0(k2_zfmisc_1(A, B))))) ).
fof(fc110_fomodel0, axiom,  (! [A, B] : v1_xboole_0(k5_xboole_0(k2_xboole_0(k10_xtuple_0(A), k10_xtuple_0(B)), k10_xtuple_0(k2_xboole_0(A, B))))) ).
fof(fc111_fomodel0, axiom,  (! [A, B] : v1_xboole_0(k5_xboole_0(k2_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)), k9_xtuple_0(k2_xboole_0(A, B))))) ).
fof(fc112_fomodel0, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => v1_xboole_0(k3_xboole_0(k6_subset_1(A, B), C))) ) ).
fof(fc113_fomodel0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  => v1_xboole_0(k5_xboole_0(k9_xtuple_0(k2_zfmisc_1(A, B)), A))) ) ).
fof(fc114_fomodel0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  => v1_xboole_0(k5_xboole_0(k10_xtuple_0(k2_zfmisc_1(B, A)), A))) ) ).
fof(rd3_fomodel0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  => k9_xtuple_0(k2_zfmisc_1(A, B))=A) ) ).
fof(rd4_fomodel0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  => k10_xtuple_0(k2_zfmisc_1(B, A))=A) ) ).
fof(fc115_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_xboole_0(k4_xboole_0(k7_relat_1(A, B), k10_xtuple_0(A)))) ) ).
fof(fc116_fomodel0, axiom,  (! [A, B, C, D] : v1_xboole_0(k4_xboole_0(k2_zfmisc_1(A, B), k2_zfmisc_1(k2_xboole_0(A, C), k2_xboole_0(B, D))))) ).
fof(fc117_fomodel0, axiom,  (! [A, B, C] : v1_xboole_0(k5_xboole_0(k3_xboole_0(k3_xboole_0(A, B), C), k3_xboole_0(A, k3_xboole_0(B, C))))) ).
fof(rd5_fomodel0, axiom,  (! [A, B] : k2_xboole_0(k6_subset_1(A, B), k3_xboole_0(A, B))=A) ).
fof(rd6_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & m1_subset_1(B, k1_zfmisc_1(k9_xtuple_0(A))))  => k1_relset_1(B, k5_relat_1(A, B))=B) ) ).
fof(fc118_fomodel0, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(A)))  => v1_xboole_0(k4_xboole_0(k4_subset_1(A, B, C), A))) ) ).
fof(fc119_fomodel0, axiom,  (! [A] :  (v1_relat_1(k4_relat_1(A)) & v2_funct_2(k4_relat_1(A), A)) ) ).
fof(cc20_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_relat_2(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_partit_2(A)) ) ) ) ).
fof(rc15_fomodel0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_partit_2(A)) ) ) ) ).
fof(rd7_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_partit_2(A)) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  => k1_funct_1(A, k1_funct_1(A, B))=B) ) ).
fof(fc120_fomodel0, axiom,  (! [A, B] : v5_relat_1(k2_zfmisc_1(A, B), B)) ).
fof(fc121_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(k1_funct_4(k2_zfmisc_1(k1_tarski(A), k1_tarski(B)), k2_zfmisc_1(k1_tarski(B), k1_tarski(A)))) &  (v1_funct_1(k1_funct_4(k2_zfmisc_1(k1_tarski(A), k1_tarski(B)), k2_zfmisc_1(k1_tarski(B), k1_tarski(A)))) & v3_relat_2(k1_funct_4(k2_zfmisc_1(k1_tarski(A), k1_tarski(B)), k2_zfmisc_1(k1_tarski(B), k1_tarski(A))))) ) ) ).
fof(fc122_fomodel0, axiom,  (! [A, B, C] :  ( (v1_relat_1(B) & m1_subset_1(C, k1_zfmisc_1(A)))  => v1_xboole_0(k4_xboole_0(k8_relat_1(B, C), k8_relat_1(B, A)))) ) ).
fof(fc123_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(B) => v1_xboole_0(k5_xboole_0(k8_relat_1(B, k2_xboole_0(A, k10_xtuple_0(B))), k9_xtuple_0(B)))) ) ).
fof(fc124_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) & v1_partfun1(B, A)) )  => v1_xboole_0(k5_xboole_0(A, k1_relset_1(A, B)))) ) ).
fof(cc21_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  (m1_subset_1(B, A) => v1_xtuple_0(B)) ) ) ) ).
fof(fc125_fomodel0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) ) )  => v1_xboole_0(k4_xboole_0(k1_tarski(C), k9_funct_2(A, B)))) ) ).
fof(fc126_fomodel0, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) ) )  => v1_xboole_0(k4_xboole_0(k2_relset_1(A, B), k1_relset_1(A, B)))) ) ).
fof(rd8_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k7_relset_1(A, A, k6_partfun1(A), B)=B) ) ).
fof(fc127_fomodel0, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => v1_xboole_0(k5_xboole_0(k7_subset_1(A, C, k6_subset_1(A, B)), k8_subset_1(A, C, B)))) ) ).
fof(ie33_fomodel0, axiom,  (! [A, B] : k2_tarski(A, B)=k29_fomodel0(A, B)) ).
fof(ie34_fomodel0, axiom,  (! [A, B] : k29_fomodel0(A, B)=k2_tarski(A, B)) ).
fof(ie35_fomodel0, axiom,  (! [A, B] : k29_fomodel0(A, B)=k29_fomodel0(B, A)) ).
fof(ie36_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(A) => k7_relat_1(A, B)=k30_fomodel0(A, B)) ) ).
fof(ie37_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(A) => k30_fomodel0(A, B)=k7_relat_1(A, B)) ) ).
fof(fc128_fomodel0, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v1_xboole_0(A)) ) )  &  ( (v1_relat_1(B) &  (v1_funct_1(B) &  ~ (v1_xboole_0(B)) ) )  & m1_subset_1(C, k15_funct_3(A, B))) )  => v1_xtuple_0(k1_xtuple_0(C))) ) ).
fof(fc129_fomodel0, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v1_xboole_0(A)) ) )  &  ( (v1_relat_1(B) &  (v1_funct_1(B) &  ~ (v1_xboole_0(B)) ) )  & m1_subset_1(C, k15_funct_3(A, B))) )  => v1_xtuple_0(k2_xtuple_0(C))) ) ).
fof(cc22_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v4_fomodel0(A)) ) ) ) ).
fof(cc23_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v4_fomodel0(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) ) ) ) ).
fof(rc16_fomodel0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_funct_1(A) & v4_fomodel0(A)) ) ) ) ).
fof(fc130_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_fomodel0(A))  =>  (v1_relat_1(k2_relat_1(A)) & v1_funct_1(k2_relat_1(A))) ) ) ).
fof(rc17_fomodel0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_funct_1(A) &  ~ (v1_xboole_0(A)) ) ) ) ) ).
fof(cc24_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_fomodel0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_fomodel0(B)) ) ) ) ).
fof(rd9_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k6_partfun1(A))) => k2_relat_1(B)=B) ) ).
fof(fc131_fomodel0, axiom,  (! [A] :  (v1_relat_1(A) => v1_xboole_0(k5_xboole_0(k33_fomodel0(k2_relat_1(A)), k33_fomodel0(A)))) ) ).
fof(fc132_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) )  => v1_xboole_0(k5_xboole_0(k33_fomodel0(k2_funct_1(A)), k33_fomodel0(A)))) ) ).
fof(ie38_fomodel0, axiom,  (! [A] : k32_fomodel0(A)=k33_fomodel0(A)) ).
fof(ie39_fomodel0, axiom,  (! [A] : k33_fomodel0(A)=k32_fomodel0(A)) ).
fof(rd10_fomodel0, axiom,  (! [A] : k32_fomodel0(k6_partfun1(A))=A) ).
fof(fc133_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_relat_1(k4_relat_1(A)) & v2_abian(k4_relat_1(A))) ) ) ).
fof(rc18_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v2_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, A) &  (v1_funct_2(B, A, A) &  (v2_funct_2(B, A) &  (v3_funct_2(B, A, A) &  (v3_relat_2(B) &  (v2_abian(B) & v4_fomodel0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc19_fomodel0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v3_relat_2(A) & v2_abian(A)) ) ) ) ) ).
fof(fc134_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_abian(A)) )  =>  ~ (v1_xboole_0(k9_xtuple_0(A))) ) ) ).
fof(cc25_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_xboole_0(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v2_abian(A)) ) ) ) ) ).
fof(rc20_fomodel0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_xboole_0(A) &  ~ (v2_abian(A)) ) ) ) ) ).
fof(fc135_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_abian(A)) )  =>  ~ (v1_xboole_0(k32_fomodel0(A))) ) ) ).
fof(fc136_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v2_abian(A)) ) )  => v1_xboole_0(k32_fomodel0(A))) ) ).
fof(cc26_fomodel0, axiom,  (! [A] :  (v1_xboole_0(A) => v5_fomodel0(A)) ) ).
fof(rc21_fomodel0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_xboole_0(A) & v5_fomodel0(A)) ) ) ) ).
fof(cc27_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v5_fomodel0(A)) ) ) ) ).
fof(cc28_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_fomodel0(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) ) ) ) ).
fof(cc29_fomodel0, axiom,  (! [A] :  (v1_zfmisc_1(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v1_funct_1(B)) ) ) ) ) ).
fof(cc30_fomodel0, axiom,  (! [A] :  (v1_zfmisc_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  =>  (v1_relat_1(B) &  (v1_funct_1(B) & v3_funct_1(B)) ) ) ) ) ) ).
fof(fc137_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_relat_1(B) & v5_fomodel0(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v5_fomodel0(k3_relat_1(A, B))) ) ) ).
fof(cc31_fomodel0, axiom,  (! [A] :  (v5_fomodel0(A) => v1_funct_1(A)) ) ).
fof(fc138_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_relat_1(B) & v5_fomodel0(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v1_funct_1(k3_relat_1(A, B))) ) ) ).
fof(fc139_fomodel0, axiom,  (! [A, B, C] :  (v1_zfmisc_1(C) =>  (v1_relat_1(k3_relat_1(k2_zfmisc_1(A, B), k2_zfmisc_1(B, C))) & v1_funct_1(k3_relat_1(k2_zfmisc_1(A, B), k2_zfmisc_1(B, C)))) ) ) ).
fof(d1_fomodel0, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (v1_fomodel0(B, A) <=> v2_funct_1(k5_relat_1(B, A))) ) ) ) ).
fof(d2_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  (v2_fomodel0(C, A, B) <=> v1_fomodel0(B, k2_zfmisc_1(C, A))) ) ) ) ) ) ).
fof(d3_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v3_fomodel0(B, A) <=> v2_fomodel0(B, k3_finseq_2(A), k11_monoid_0(A))) ) ) ) ).
fof(d4_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k1_fomodel0(A, B) <=>  (k9_xtuple_0(C)=k3_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)) &  (! [D] :  (r2_tarski(D, k9_xtuple_0(C)) => k1_funct_1(C, D)=k1_funct_1(k1_funct_1(A, D), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ).
fof(d5_fomodel0, axiom,  (! [A] : k2_fomodel0(A)=k9_funct_3(A, A)) ).
fof(t1_fomodel0, axiom,  (! [A] :  (! [B] :  (! [C] :  (v7_ordinal1(C) => k3_xboole_0(k4_finseq_2(C, A), k3_finseq_2(B))=k3_xboole_0(k4_finseq_2(C, A), k4_finseq_2(C, B))) ) ) ) ).
fof(t2_fomodel0, axiom,  (! [A] :  (! [B] :  (! [C] :  (v7_ordinal1(C) => k3_xboole_0(k4_finseq_2(C, A), k3_finseq_2(B))=k4_finseq_2(C, k3_xboole_0(A, B))) ) ) ) ).
fof(t3_fomodel0, axiom,  (! [A] :  (! [B] :  (! [C] :  (v7_ordinal1(C) => k4_finseq_2(C, k3_xboole_0(A, B))=k3_xboole_0(k4_finseq_2(C, A), k4_finseq_2(C, B))) ) ) ) ).
fof(t4_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ( (v5_relat_1(B, A) & v5_relat_1(C, A))  => k1_binop_1(k11_monoid_0(A), B, C)=k7_finseq_1(B, C)) ) ) ) ) ) ) ).
fof(t5_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, A))  <=> r2_tarski(B, k6_subset_1(k3_finseq_2(A), k1_tarski(k1_xboole_0)))) ) ) ) ).
fof(d6_fomodel0, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (v1_fomodel0(B, A) <=>  (! [C] :  (! [D] :  ( (r2_tarski(C, k3_xboole_0(A, k9_xtuple_0(B))) &  (r2_tarski(D, k3_xboole_0(A, k9_xtuple_0(B))) & k1_funct_1(B, C)=k1_funct_1(B, D)) )  => C=D) ) ) ) ) ) ) ).
fof(d7_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (D=k4_fomodel0(A, B, C) <=>  (k9_xtuple_0(D)=k4_ordinal1 &  (k1_funct_1(D, k5_numbers)=k1_funct_1(C, 1) &  (! [E] :  (v7_ordinal1(E) => k1_funct_1(D, k2_xcmplx_0(E, 1))=k1_binop_1(B, k1_funct_1(D, E), k1_funct_1(C, k2_xcmplx_0(E, 2)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  (m2_subset_1(C, k3_finseq_2(A), k6_subset_1(k3_finseq_2(A), k1_tarski(k1_xboole_0))) => k5_fomodel0(A, B, C)=k4_fomodel0(A, B, C)) ) ) ) ) ) ).
fof(d9_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k6_subset_1(k3_finseq_2(A), k1_tarski(k1_xboole_0)), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k6_subset_1(k3_finseq_2(A), k1_tarski(k1_xboole_0)), A)))) )  =>  (C=k6_fomodel0(A, B) <=>  (! [D] :  (m2_subset_1(D, k3_finseq_2(A), k6_subset_1(k3_finseq_2(A), k1_tarski(k1_xboole_0))) => k3_funct_2(k6_subset_1(k3_finseq_2(A), k1_tarski(k1_xboole_0)), A, C, D)=k1_funct_1(k5_fomodel0(A, B, D), k6_xcmplx_0(k3_finseq_1(D), 1))) ) ) ) ) ) ) ) ) ).
fof(d10_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  (v2_fomodel0(C, A, B) <=>  (! [D] :  (! [E] :  (! [F] :  (! [G] :  ( (r2_tarski(D, k3_xboole_0(C, A)) &  (r2_tarski(E, k3_xboole_0(C, A)) &  (r2_tarski(F, A) &  (r2_tarski(G, A) & k1_binop_1(B, D, F)=k1_binop_1(B, E, G)) ) ) )  =>  (D=E & F=G) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k7_fomodel0(A)=k6_fomodel0(A, k2_fomodel0(A))) ) ).
fof(t6_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (v5_relat_1(B, A) =>  (v1_xboole_0(B) | k1_funct_1(k7_fomodel0(A), B)=k1_funct_1(B, 1)) ) ) ) ) ) ).
fof(d12_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k8_fomodel0(A)=k1_funct_4(k17_funcop_1(k1_xboole_0, k1_xboole_0), k6_fomodel0(k3_finseq_2(A), k11_monoid_0(A)))) ) ).
fof(t7_fomodel0, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (v7_ordinal1(C) =>  (v3_fomodel0(A, B) => v3_fomodel0(k7_relset_1(k3_finseq_2(k3_finseq_2(B)), k3_finseq_2(B), k9_fomodel0(B), k4_finseq_2(C, A)), B)) ) ) ) ) ) ).
fof(t8_fomodel0, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (v7_ordinal1(C) =>  (v3_fomodel0(A, B) => v1_fomodel0(k9_fomodel0(B), k4_finseq_2(C, A))) ) ) ) ) ) ).
fof(t9_fomodel0, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) => r1_tarski(k4_finseq_2(k2_xcmplx_0(B, 1), A), k6_subset_1(k3_finseq_2(A), k1_tarski(k1_xboole_0)))) ) ) ).
fof(t10_fomodel0, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (v8_ordinal1(B) => k4_finseq_2(B, A)=k1_tarski(k1_xboole_0)) ) ) ) ).
fof(t11_fomodel0, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) => k4_finseq_2(B, A)=k1_funct_2(k2_finseq_1(B), A)) ) ) ).
fof(t12_fomodel0, axiom,  (! [A] :  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(B, k4_finseq_2(C, A)) => m2_finseq_1(B, A)) ) ) ) ) ).
fof(t13_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (k1_funct_1(k6_fomodel0(A, C), k12_finseq_1(A, B))=B &  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m2_finseq_1(D, A))  => k1_funct_1(k6_fomodel0(A, C), k1_monoid_0(A, D, k12_finseq_1(A, B)))=k1_binop_1(C, k1_funct_1(k6_fomodel0(A, C), D), B)) ) ) ) ) ) ) ) ) ).
fof(t14_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_2(B, k3_finseq_2(A), k3_finseq_2(k3_finseq_2(A))))  => k3_funct_2(k3_finseq_2(k3_finseq_2(A)), k3_finseq_2(A), k9_fomodel0(A), B)=k1_funct_1(k6_fomodel0(k3_finseq_2(A), k11_monoid_0(A)), B)) ) ) ) ).
fof(t15_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_2(B, A, k3_finseq_2(A)) =>  (! [C] :  (m2_finseq_2(C, A, k3_finseq_2(A)) => k1_funct_1(k9_fomodel0(A), k10_finseq_1(B, C))=k1_monoid_0(A, B, C)) ) ) ) ) ) ).
fof(d13_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  (m2_finseq_2(C, A, k3_finseq_2(A)) =>  (! [D] :  (m2_finseq_2(D, A, k3_finseq_2(A)) => k11_fomodel0(A, B, C, D)=k3_relat_1(k13_funct_3(C, D), B)) ) ) ) ) ) ) ) ).
fof(d14_fomodel0, axiom, k4_numbers=k2_xboole_0(k4_ordinal1, k6_subset_1(k2_zfmisc_1(k6_domain_1(k4_ordinal1, k5_numbers), k4_ordinal1), k6_domain_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_domain_1(k4_ordinal1, k4_ordinal1, k5_numbers, k5_numbers))))).
fof(t16_fomodel0, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ( (v5_relat_1(C, A) & v3_card_1(C, B))  => r2_tarski(C, k4_finseq_2(B, A))) ) ) ) ) ) ).
fof(d15_fomodel0, axiom,  (! [A] :  (! [B] : k13_fomodel0(A, B)=B) ) ).
fof(d16_fomodel0, axiom,  (! [A] :  (! [B] : k14_fomodel0(A, B)=k6_subset_1(A, B)) ) ).
fof(d17_fomodel0, axiom,  (! [A] :  (! [B] : k15_fomodel0(A, B)=A) ) ).
fof(d18_fomodel0, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_numbers, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers)))) )  =>  (A=k16_fomodel0 <=>  (! [B] :  (v1_xcmplx_0(B) => k1_funct_1(A, B)=k2_xcmplx_0(B, 1)) ) ) ) ) ).
fof(t18_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_tarski(C, A) => r1_tarski(k8_funct_7(C, B), k8_funct_7(A, B))) ) ) ) ) ) ) ).
fof(t19_fomodel0, axiom,  (! [A] :  (! [B] :  (! [C] :  (r1_tarski(C, k1_funct_2(A, B)) => r1_tarski(k3_tarski(C), k2_zfmisc_1(A, B))) ) ) ) ).
fof(t21_fomodel0, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) & v1_partfun1(B, A)) )  => r1_relset_1(A, A, k6_partfun1(A), k3_relat_1(B, k2_relat_1(B)))) ) ) ).
fof(t22_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k4_finseq_2(k2_xcmplx_0(B, C), A)=k7_relset_1(k2_zfmisc_1(k3_finseq_2(A), k3_finseq_2(A)), k3_finseq_2(A), k11_monoid_0(A), k2_zfmisc_1(k4_finseq_2(B, A), k4_finseq_2(C, A)))) ) ) ) ) ) ).
fof(t23_fomodel0, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v1_relat_1(C) => k8_relat_1(k2_xboole_0(B, C), A)=k2_xboole_0(k8_relat_1(B, A), k8_relat_1(C, A))) ) ) ) ) ).
fof(t24_fomodel0, axiom,  (! [A] :  (! [B] :  (k8_relset_1(B, k5_margrel1, k10_fomodel0(A, B), k6_domain_1(k4_ordinal1, k5_numbers))=k6_subset_1(B, A) & k8_relset_1(B, k5_margrel1, k10_fomodel0(A, B), k6_domain_1(k4_ordinal1, 1))=k3_xboole_0(A, B)) ) ) ).
fof(t25_fomodel0, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (C=k1_funct_1(B, A) <=> r2_tarski(A, k8_relat_1(B, k1_tarski(C)))) ) ) ) ) ) ).
fof(t26_fomodel0, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (v5_relat_1(B, A) & v1_finseq_1(B))  => m2_finseq_1(B, A)) ) ) ) ).
fof(t27_fomodel0, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_funct_2(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C))))  =>  (! [F] :  ( (v1_funct_2(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, D))))  =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v1_funct_1(k4_relset_1(A, B, B, D, k4_relset_1(A, C, C, B, k4_relset_1(A, B, B, C, G, E), k3_relset_1(B, C, E)), F)) => r2_relset_1(A, D, k4_relset_1(A, B, B, D, k4_relset_1(A, C, C, B, k4_relset_1(A, B, B, C, G, E), k3_relset_1(B, C, E)), F), k4_relset_1(A, B, B, D, G, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( ~ (v1_xboole_0(A))  => k1_funct_1(k7_finseq_1(A, B), 1)=k1_funct_1(A, 1)) ) ) ) ) ).
fof(d19_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v3_fomodel0(B, A) <=>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v1_funct_1(C) & v1_finseq_1(C)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, A) &  (v1_funct_1(D) & v1_finseq_1(D)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v5_relat_1(E, A) &  (v1_funct_1(E) & v1_finseq_1(E)) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v5_relat_1(F, A) &  (v1_funct_1(F) & v1_finseq_1(F)) ) )  =>  ( (r2_tarski(C, B) &  (r2_tarski(E, B) & k7_finseq_1(C, D)=k7_finseq_1(E, F)) )  =>  (C=E & D=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_fomodel0, axiom,  (! [A] :  (! [B] :  ( (k5_xboole_0(B, A)=k1_xboole_0 => B=A)  &  ( (B=A => k5_xboole_0(B, A)=k1_xboole_0)  &  ( (k6_subset_1(B, A)=k1_xboole_0 => r1_tarski(B, A))  &  ( (r1_tarski(B, A) => k6_subset_1(B, A)=k1_xboole_0)  &  (! [C] :  (k6_subset_1(k1_tarski(C), A)=k1_xboole_0 <=> r2_hidden(C, A)) ) ) ) ) ) ) ) ).
fof(t30_fomodel0, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (r2_tarski(A, k6_subset_1(k3_finseq_2(B), k1_tarski(k1_xboole_0))) <=>  ( (v1_relat_1(A) &  (v5_relat_1(A, B) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  &  ~ (v1_xboole_0(A)) ) ) ) ) ) ).
fof(t31_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (k1_funct_1(k6_fomodel0(A, C), k12_finseq_1(A, B))=B &  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, A) &  (v1_funct_1(D) & v1_finseq_1(D)) ) )  =>  ( ~ (v1_xboole_0(D))  => k1_funct_1(k6_fomodel0(A, C), k7_finseq_1(D, k12_finseq_1(A, B)))=k1_binop_1(C, k1_funct_1(k6_fomodel0(A, C), D), B)) ) ) ) ) ) ) ) ) ) ).
fof(d20_fomodel0, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  => k17_fomodel0(A, B, C)=k8_funct_4(C, A, B)) ) ) ) ).
fof(d21_fomodel0, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, A) &  (v1_funct_1(D) & v1_finseq_1(D)) ) )  => k18_fomodel0(A, B, C, D)=k3_relat_1(D, k1_funct_7(k6_partfun1(A), B, C))) ) ) ) ) ).
fof(d22_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k3_finseq_2(A), k3_finseq_2(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), k3_finseq_2(A))))) )  =>  (D=k20_fomodel0(A, B, C) <=>  (! [E] :  ( (v1_relat_1(E) &  (v5_relat_1(E, A) &  (v1_funct_1(E) & v1_finseq_1(E)) ) )  => k1_funct_1(D, E)=k19_fomodel0(A, B, C, E)) ) ) ) ) ) ) ) ) ) ).
fof(t32_fomodel0, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  => k1_funct_1(k9_fomodel0(B), A)=k1_funct_1(k6_fomodel0(k3_finseq_2(B), k11_monoid_0(B)), A)) ) ) ).
fof(t33_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v1_funct_1(C) & v1_finseq_1(C)) ) )  =>  (v5_relat_1(B, k3_finseq_2(A)) => k1_funct_1(k9_fomodel0(A), k7_finseq_1(B, k9_finseq_1(C)))=k7_finseq_1(k1_funct_1(k9_fomodel0(A), B), C)) ) ) ) ) ) ) ).
fof(t34_fomodel0, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (m1_subset_1(D, B) =>  ( (C=D => k18_fomodel0(B, D, A, k12_finseq_1(B, C))=k9_finseq_1(A))  &  ( ~ (C=D)  => k18_fomodel0(B, D, A, k12_finseq_1(B, C))=k12_finseq_1(B, C)) ) ) ) ) ) ) ) ) ).
fof(t35_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  ( (B=C => k1_funct_1(k20_fomodel0(A, C, D), k12_finseq_1(A, B))=k12_finseq_1(A, D))  &  ( ~ (B=C)  => k1_funct_1(k20_fomodel0(A, C, D), k12_finseq_1(A, B))=k12_finseq_1(A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t36_fomodel0, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, B) &  (v1_funct_1(D) & v1_finseq_1(D)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v5_relat_1(E, B) &  (v1_funct_1(E) & v1_finseq_1(E)) ) )  => k1_funct_1(k20_fomodel0(B, A, C), k7_finseq_1(D, E))=k7_finseq_1(k1_funct_1(k20_fomodel0(B, A, C), D), k1_funct_1(k20_fomodel0(B, A, C), E))) ) ) ) ) ) ) ) ) ).
fof(t37_fomodel0, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (v5_relat_1(D, k3_finseq_2(B)) => k1_funct_1(k20_fomodel0(B, A, C), k1_funct_1(k9_fomodel0(B), D))=k1_funct_1(k9_fomodel0(B), k3_relat_1(D, k20_fomodel0(B, A, C)))) ) ) ) ) ) ) ) ).
fof(t39_fomodel0, axiom,  (! [A] :  (v1_xboolean(A) =>  (A=1 <=>  ~ (A=k5_numbers) ) ) ) ).
fof(t40_fomodel0, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (v5_relat_1(C, k3_finseq_2(A)) => r2_tarski(k1_funct_1(C, B), k3_finseq_2(A))) ) ) ) ) ).
fof(t41_fomodel0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  ( (v3_card_1(B, A) & v3_card_1(D, A))  =>  ( ( ~ (k7_finseq_1(B, C)=k7_finseq_1(D, E))  &  ~ (k7_finseq_1(C, B)=k7_finseq_1(E, D)) )  |  (B=D & C=E) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_fomodel0, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  ( (v5_relat_1(k1_funct_1(k9_fomodel0(B), A), C) & r2_tarski(A, k3_finseq_2(k3_finseq_2(B))))  => m1_fomodel0(A, k3_finseq_2(C))) ) ) ) ) ) ).
fof(t43_fomodel0, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  ( (A=B => k1_funct_4(k1_funct_4(E, k17_funcop_1(A, C)), k17_funcop_1(B, D))=k1_funct_4(E, k17_funcop_1(B, D)))  &  ( ~ (A=B)  => k1_funct_4(k1_funct_4(E, k17_funcop_1(A, C)), k17_funcop_1(B, D))=k1_funct_4(k1_funct_4(E, k17_funcop_1(B, D)), k17_funcop_1(A, C))) ) ) ) ) ) ) ) ).
fof(t44_fomodel0, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (v5_relat_1(k7_finseq_1(k7_finseq_1(B, C), D), A) =>  (v5_relat_1(D, A) &  (v5_relat_1(C, A) & v5_relat_1(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(t45_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => k21_fomodel0(k1_tarski(A))=k10_xtuple_0(A)) ) ).
fof(t46_fomodel0, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => r1_tarski(k21_fomodel0(B), k21_fomodel0(A))) ) ) ) ).
fof(t47_fomodel0, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  (v4_funct_1(B) => k21_fomodel0(k2_xboole_0(A, B))=k2_xboole_0(k21_fomodel0(A), k21_fomodel0(B))) ) ) ) ).
fof(t48_fomodel0, axiom,  (! [A] :  (! [B] : A=k2_xboole_0(k6_subset_1(A, B), k3_xboole_0(A, B))) ) ).
fof(t49_fomodel0, axiom,  (! [A] :  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( ~ (r1_xboole_0(k4_finseq_2(C, A), k4_finseq_2(D, B)))  => C=D) ) ) ) ) ) ) ).
fof(t50_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v3_fomodel0(C, A) & r1_tarski(B, C))  => v3_fomodel0(B, A)) ) ) ) ) ).
fof(t51_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_tarski(A, B) <=>  (! [C] :  (r2_tarski(C, k9_xtuple_0(A)) =>  (r2_tarski(C, k9_xtuple_0(B)) & k1_funct_1(A, C)=k1_funct_1(B, C)) ) ) ) ) ) ) ) ).
fof(t52_fomodel0, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  ( ~ ( ( ~ (k1_funct_1(k9_fomodel0(B), A)=k1_xboole_0)  &  ( ~ (k1_funct_1(k9_fomodel0(C), A)=k1_xboole_0)  &  ~ (k1_funct_1(k9_fomodel0(B), A)=k1_funct_1(k9_fomodel0(C), A)) ) ) )  &  ( (v5_relat_1(D, k3_finseq_2(k1_xboole_0)) => k1_funct_1(k9_fomodel0(B), D)=k1_xboole_0)  &  ( (k1_funct_1(k9_fomodel0(B), D)=k1_xboole_0 & v5_relat_1(D, k3_finseq_2(B)))  => v5_relat_1(D, k3_finseq_2(k1_xboole_0))) ) ) ) ) ) ) ) ) ) ).
fof(d25_fomodel0, axiom,  (! [A] : k22_fomodel0(A)=A) ).
fof(t53_fomodel0, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  ( (r1_tarski(B, C) &  (r1_tarski(A, k3_finseq_2(B)) &  (v5_relat_1(D, A) & v1_setfam_1(A)) ) )  =>  (D=k1_xboole_0 | k1_funct_1(k9_fomodel0(B), D)=k1_funct_1(k9_fomodel0(C), D)) ) ) ) ) ) ) ) ) ).
fof(t54_fomodel0, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  ( (? [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  &  (B=D & v5_relat_1(D, k3_finseq_2(A))) ) )  => v5_relat_1(k1_funct_1(k9_fomodel0(C), B), A)) ) ) ) ) ).
fof(t55_fomodel0, axiom,  (! [A] :  (! [B] : k3_finseq_2(k3_xboole_0(A, B))=k3_xboole_0(k3_finseq_2(A), k3_finseq_2(B))) ) ).
fof(t56_fomodel0, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v1_relat_1(C) => k5_relat_1(k2_xboole_0(B, C), A)=k2_xboole_0(k5_relat_1(B, A), k5_relat_1(C, A))) ) ) ) ) ).
fof(t57_fomodel0, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => k1_funct_4(k5_relat_1(B, A), C)=k2_xboole_0(k5_relat_1(B, k6_subset_1(A, k9_xtuple_0(C))), C)) ) ) ) ) ).
fof(t58_fomodel0, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (r2_tarski(C, k10_xtuple_0(B)))  => r1_xboole_0(k2_zfmisc_1(A, k1_tarski(C)), B)) ) ) ) ).
fof(t59_fomodel0, axiom,  (! [A] :  (k3_xboole_0(k23_fomodel0(A), A)=k1_xboole_0 &  ~ (v1_finset_1(k23_fomodel0(A))) ) ) ).
fof(t60_fomodel0, axiom,  (! [A] :  (! [B] :  (r1_tarski(k3_tarski(A), B) => r1_tarski(A, k9_setfam_1(B))) ) ) ).
fof(t61_fomodel0, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (r1_setfam_1(A, B) & r1_setfam_1(D, C))  => r1_setfam_1(k2_xboole_0(A, D), k2_xboole_0(B, C))) ) ) ) ) ).
fof(t62_fomodel0, axiom,  (! [A] :  (! [B] :  (r1_setfam_1(A, B) => r1_setfam_1(k2_xboole_0(A, B), B)) ) ) ).
fof(t63_fomodel0, axiom,  (! [A] :  (! [B] :  ( (v1_cohsp_1(B) & r1_setfam_1(A, B))  => v1_cohsp_1(k2_xboole_0(A, B))) ) ) ).
fof(t64_fomodel0, axiom,  (! [A] :  (! [B] : r1_setfam_1(k3_setfam_1(A, B), A)) ) ).
fof(t65_fomodel0, axiom,  (! [A] :  (v1_cohsp_1(A) =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k3_tarski(A))))  =>  (? [C] :  (r2_tarski(C, A) & r1_tarski(B, C)) ) ) ) ) ) ).
fof(t66_fomodel0, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_funct_2(A, B))) => m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B))))) ) ) ) ).
fof(t67_fomodel0, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (m1_subset_1(D, B) =>  ~ ( ( (r2_tarski(C, A) => r2_tarski(D, A))  &  ( (r2_tarski(D, A) => r2_tarski(C, A))  &  ~ (r2_hidden(k4_tarski(k3_funct_2(B, k5_margrel1, k10_fomodel0(A, B), C), k3_funct_2(B, k5_margrel1, k10_fomodel0(A, B), D)), k6_partfun1(k5_margrel1))) ) ) ) ) ) ) ) ) ) ) ).
fof(d27_fomodel0, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) => k24_fomodel0(A, B)=k5_relat_1(B, A)) ) ) ).
fof(d28_fomodel0, axiom,  (! [A] :  (! [B] : k25_fomodel0(A, B)=k3_xboole_0(B, k2_zfmisc_1(A, k10_xtuple_0(B)))) ) ).
fof(d29_fomodel0, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) => k26_fomodel0(A, B)=k2_xboole_0(k6_subset_1(A, k2_zfmisc_1(k9_xtuple_0(B), k10_xtuple_0(A))), B)) ) ) ) ).
fof(d30_fomodel0, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) => k27_fomodel0(A, B)=k2_xboole_0(k5_relat_1(A, k6_subset_1(k9_xtuple_0(A), k9_xtuple_0(B))), B)) ) ) ) ).
fof(d31_fomodel0, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) => k28_fomodel0(A, B)=k2_xboole_0(k6_subset_1(k5_relat_1(A, k9_xtuple_0(A)), k5_relat_1(A, k9_xtuple_0(B))), B)) ) ) ) ).
fof(t68_fomodel0, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (r1_tarski(k9_xtuple_0(B), k9_xtuple_0(A)) & r1_tarski(A, B))  => A=B) ) ) ) ) ).
fof(d32_fomodel0, axiom,  (! [A] :  (! [B] : k29_fomodel0(A, B)=k2_xboole_0(k1_tarski(A), k1_tarski(B))) ) ).
fof(d33_fomodel0, axiom,  (! [A] :  (! [B] : k30_fomodel0(A, B)=k10_xtuple_0(k25_fomodel0(B, A))) ) ).
fof(d34_fomodel0, axiom,  (! [A] :  (v1_relat_1(A) =>  (v4_fomodel0(A) <=> v1_funct_1(k2_relat_1(A))) ) ) ).
fof(d35_fomodel0, axiom,  (! [A] : k32_fomodel0(A)=k9_xtuple_0(k9_subset_1(k2_zfmisc_1(k9_xtuple_0(A), k9_xtuple_0(A)), A, k6_partfun1(k9_xtuple_0(A))))) ).
fof(d36_fomodel0, axiom,  (! [A] : k33_fomodel0(A)=k9_xtuple_0(k9_subset_1(k2_zfmisc_1(k3_xboole_0(k9_xtuple_0(A), k10_xtuple_0(A)), k3_xboole_0(k9_xtuple_0(A), k10_xtuple_0(A))), A, k6_partfun1(k3_xboole_0(k9_xtuple_0(A), k10_xtuple_0(A)))))) ).
fof(d37_fomodel0, axiom,  (! [A] :  (v5_fomodel0(A) <=> v1_zfmisc_1(k10_xtuple_0(A))) ) ).
fof(t69_fomodel0, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_tarski(A, k32_fomodel0(B)) <=> r1_abian(A, B)) ) ) ) ).
fof(t70_fomodel0, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r2_tarski(A, k2_tarski(B, k1_funct_1(C, B))) &  (v1_partit_2(C) & r2_tarski(B, k9_xtuple_0(C))) )  => k2_tarski(A, k1_funct_1(C, A))=k2_tarski(B, k1_funct_1(C, B))) ) ) ) ) ).
fof(t71_fomodel0, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (v1_partit_2(C) &  (r2_tarski(A, k9_xtuple_0(C)) & r2_tarski(B, k9_xtuple_0(C))) )  =>  ( ( ~ (r2_tarski(A, k2_tarski(B, k1_funct_1(C, B))))  &  ~ (r2_tarski(k1_funct_1(C, A), k2_tarski(B, k1_funct_1(C, B)))) )  | k2_tarski(A, k1_funct_1(C, A))=k2_tarski(B, k1_funct_1(C, B))) ) ) ) ) ) ).
fof(t72_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_partit_2(A) => r1_tarski(k3_relat_1(A, A), k6_partfun1(k9_xtuple_0(A)))) ) ) ).
fof(t73_fomodel0, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (r1_tarski(D, B) =>  (D=k1_xboole_0 | k3_relat_1(k2_zfmisc_1(A, D), k2_zfmisc_1(B, C))=k2_zfmisc_1(A, C)) ) ) ) ) ) ).
fof(t75_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (k10_xtuple_0(A)=k9_xtuple_0(A) =>  (v1_funct_1(A) &  (v1_funct_2(A, k9_xtuple_0(A), k9_xtuple_0(A)) &  (v2_funct_2(A, k9_xtuple_0(A)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k9_xtuple_0(A), k9_xtuple_0(A))))) ) ) ) ) ) ).
fof(t76_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => k32_fomodel0(k15_funct_3(A, B))=k2_zfmisc_1(k32_fomodel0(A), k32_fomodel0(B))) ) ) ) ).
fof(t77_fomodel0, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (k3_xboole_0(k10_xtuple_0(C), k10_xtuple_0(D))=k1_xboole_0 &  (r1_tarski(k10_xtuple_0(C), k9_xtuple_0(D)) & r1_tarski(k10_xtuple_0(D), k9_xtuple_0(C))) )  =>  (A=B | r1_tarski(k2_xboole_0(k2_zfmisc_1(k10_xtuple_0(C), k1_tarski(B)), k2_zfmisc_1(k10_xtuple_0(D), k1_tarski(A))), k3_relat_1(k3_relat_1(k2_xboole_0(C, D), k2_xboole_0(k2_zfmisc_1(k10_xtuple_0(C), k1_tarski(B)), k2_zfmisc_1(k10_xtuple_0(D), k1_tarski(A)))), k6_funct_4(A, B, B, A)))) ) ) ) ) ) ) ) ).
fof(t78_fomodel0, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_tarski(A, B) => k9_xtuple_0(k6_subset_1(B, A))=k6_subset_1(k9_xtuple_0(B), k9_xtuple_0(A))) ) ) ) ).
fof(dt_k1_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k1_fomodel0(A, B)) & v1_funct_1(k1_fomodel0(A, B))) ) ) ).
fof(dt_k2_fomodel0, axiom,  (! [A] :  (v1_funct_1(k2_fomodel0(A)) &  (v1_funct_2(k2_fomodel0(A), k2_zfmisc_1(A, A), A) & m1_subset_1(k2_fomodel0(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) ) ).
fof(dt_k3_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  ( ~ (v1_xboole_0(k3_fomodel0(A, B)))  & m1_subset_1(k3_fomodel0(A, B), k1_zfmisc_1(k3_finseq_2(A)))) ) ) ).
fof(redefinition_k3_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k3_fomodel0(A, B)=k13_finseq_1(B)) ) ).
fof(dt_k4_fomodel0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & m1_finseq_1(C, A)) )  =>  (v1_relat_1(k4_fomodel0(A, B, C)) & v1_funct_1(k4_fomodel0(A, B, C))) ) ) ).
fof(dt_k5_fomodel0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & m1_subset_1(C, k6_subset_1(k3_finseq_2(A), k1_tarski(k1_xboole_0)))) )  =>  (v1_relat_1(k5_fomodel0(A, B, C)) & v1_funct_1(k5_fomodel0(A, B, C))) ) ) ).
fof(dt_k6_fomodel0, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) )  =>  (v1_funct_1(k6_fomodel0(A, B)) &  (v1_funct_2(k6_fomodel0(A, B), k6_subset_1(k3_finseq_2(A), k1_tarski(k1_xboole_0)), A) & m1_subset_1(k6_fomodel0(A, B), k1_zfmisc_1(k2_zfmisc_1(k6_subset_1(k3_finseq_2(A), k1_tarski(k1_xboole_0)), A)))) ) ) ) ).
fof(dt_k7_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k7_fomodel0(A)) &  (v1_funct_2(k7_fomodel0(A), k6_subset_1(k3_finseq_2(A), k1_tarski(k1_xboole_0)), A) & m1_subset_1(k7_fomodel0(A), k1_zfmisc_1(k2_zfmisc_1(k6_subset_1(k3_finseq_2(A), k1_tarski(k1_xboole_0)), A)))) ) ) ) ).
fof(dt_k8_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_relat_1(k8_fomodel0(A)) & v1_funct_1(k8_fomodel0(A))) ) ) ).
fof(dt_k9_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k9_fomodel0(A)) &  (v1_funct_2(k9_fomodel0(A), k3_finseq_2(k3_finseq_2(A)), k3_finseq_2(A)) & m1_subset_1(k9_fomodel0(A), k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(k3_finseq_2(A)), k3_finseq_2(A))))) ) ) ) ).
fof(redefinition_k9_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k9_fomodel0(A)=k8_fomodel0(A)) ) ).
fof(dt_k10_fomodel0, axiom,  (! [A, B] :  (v1_funct_1(k10_fomodel0(A, B)) &  (v1_funct_2(k10_fomodel0(A, B), B, k5_margrel1) & m1_subset_1(k10_fomodel0(A, B), k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1)))) ) ) ).
fof(redefinition_k10_fomodel0, axiom,  (! [A, B] : k10_fomodel0(A, B)=k4_funct_3(A, B)) ).
fof(dt_k11_fomodel0, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (m1_subset_1(C, k3_finseq_2(A)) & m1_subset_1(D, k3_finseq_2(A))) ) )  => m2_finseq_1(k11_fomodel0(A, B, C, D), A)) ) ).
fof(dt_k12_fomodel0, axiom,  (! [A, B] : m1_subset_1(k12_fomodel0(A, B), k1_zfmisc_1(A))) ).
fof(commutativity_k12_fomodel0, axiom,  (! [A, B] : k12_fomodel0(A, B)=k12_fomodel0(B, A)) ).
fof(idempotence_k12_fomodel0, axiom,  (! [A, B] : k12_fomodel0(A, A)=A) ).
fof(redefinition_k12_fomodel0, axiom,  (! [A, B] : k12_fomodel0(A, B)=k3_xboole_0(A, B)) ).
fof(dt_k14_fomodel0, axiom,  (! [A, B] : m1_subset_1(k14_fomodel0(A, B), k1_zfmisc_1(A))) ).
fof(dt_k15_fomodel0, axiom,  (! [A, B] : m1_subset_1(k15_fomodel0(A, B), k1_zfmisc_1(k2_xboole_0(A, B)))) ).
fof(dt_k16_fomodel0, axiom,  (v1_funct_1(k16_fomodel0) &  (v1_funct_2(k16_fomodel0, k2_numbers, k2_numbers) & m1_subset_1(k16_fomodel0, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers)))) ) ).
fof(dt_m1_fomodel0, axiom,  (! [A] :  (! [B] :  (m1_fomodel0(B, A) => m2_finseq_2(B, A, k3_finseq_2(A))) ) ) ).
fof(existence_m1_fomodel0, axiom,  (! [A] :  (? [B] : m1_fomodel0(B, A)) ) ).
fof(redefinition_m1_fomodel0, axiom,  (! [A] :  (! [B] :  (m1_fomodel0(B, A) <=> m1_finseq_1(B, A)) ) ) ).
fof(dt_k17_fomodel0, axiom,  (! [A, B, C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (v1_relat_1(k17_fomodel0(A, B, C)) &  (v1_funct_1(k17_fomodel0(A, B, C)) & v1_finseq_1(k17_fomodel0(A, B, C))) ) ) ) ).
fof(dt_k18_fomodel0, axiom,  (! [A, B, C, D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, A) &  (v1_funct_1(D) & v1_finseq_1(D)) ) )  =>  (v1_relat_1(k18_fomodel0(A, B, C, D)) &  (v1_funct_1(k18_fomodel0(A, B, C, D)) & v1_finseq_1(k18_fomodel0(A, B, C, D))) ) ) ) ).
fof(redefinition_k18_fomodel0, axiom,  (! [A, B, C, D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, A) &  (v1_funct_1(D) & v1_finseq_1(D)) ) )  => k18_fomodel0(A, B, C, D)=k17_fomodel0(B, C, D)) ) ).
fof(dt_k19_fomodel0, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(C, A) &  (v1_relat_1(D) &  (v5_relat_1(D, A) &  (v1_funct_1(D) & v1_finseq_1(D)) ) ) ) )  => m1_fomodel0(k19_fomodel0(A, B, C, D), A)) ) ).
fof(redefinition_k19_fomodel0, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(C, A) &  (v1_relat_1(D) &  (v5_relat_1(D, A) &  (v1_funct_1(D) & v1_finseq_1(D)) ) ) ) )  => k19_fomodel0(A, B, C, D)=k17_fomodel0(B, C, D)) ) ).
fof(dt_k20_fomodel0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(C, A))  =>  (v1_funct_1(k20_fomodel0(A, B, C)) &  (v1_funct_2(k20_fomodel0(A, B, C), k3_finseq_2(A), k3_finseq_2(A)) & m1_subset_1(k20_fomodel0(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), k3_finseq_2(A))))) ) ) ) ).
fof(dt_k24_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(B) => m1_subset_1(k24_fomodel0(A, B), k1_zfmisc_1(B))) ) ).
fof(dt_f1_s2_fomodel0, axiom, v1_zfmisc_1(f1_s2_fomodel0)).
fof(dt_f1_s6_fomodel0, axiom,  ~ (v1_xboole_0(f1_s6_fomodel0)) ).
fof(dt_k31_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_relat_1(B))  => m1_subset_1(k31_fomodel0(A, B), k1_zfmisc_1(k2_xboole_0(A, B)))) ) ).
fof(redefinition_k31_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_relat_1(B))  => k31_fomodel0(A, B)=k26_fomodel0(A, B)) ) ).
fof(t17_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (r1_tarski(k10_xtuple_0(A), k9_xtuple_0(A)) => k18_finseq_1(A)=k3_tarski(a_1_0_fomodel0(A))) ) ) ).
fof(t20_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => A=a_1_1_fomodel0(A)) ) ).
fof(t38_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k7_relset_1(k2_zfmisc_1(k3_finseq_2(A), k3_finseq_2(A)), k3_finseq_2(A), k11_monoid_0(A), k6_partfun1(k4_finseq_2(1, A)))=a_1_2_fomodel0(A)) ) ).
fof(d23_fomodel0, axiom,  (! [A] :  (v4_funct_1(A) => k21_fomodel0(A)=k3_tarski(a_1_3_fomodel0(A))) ) ).
fof(d24_fomodel0, axiom,  (! [A] :  (v4_funct_1(A) => k21_fomodel0(A)=k3_tarski(a_1_4_fomodel0(A))) ) ).
fof(d26_fomodel0, axiom,  (! [A] : k23_fomodel0(A)=k2_zfmisc_1(k4_ordinal1, k6_domain_1(k7_subset_1(k1_zfmisc_1(k10_xtuple_0(A)), k9_setfam_1(k10_xtuple_0(A)), k10_xtuple_0(A)), o_1_5_fomodel0(A)))) ).
fof(t74_fomodel0, axiom,  (! [A] :  ( ~ (A=k1_xboole_0)  => a_1_6_fomodel0(A)=A) ) ).
fof(s1_fomodel0, axiom,  (r1_tarski(f1_s1_fomodel0, f2_s1_fomodel0) => a_0_0_fomodel0=a_0_1_fomodel0) ).
fof(s2_fomodel0, axiom, r1_tarski(a_0_2_fomodel0, k1_tarski(f2_s2_fomodel0(o_0_3_fomodel0)))).
fof(s3_fomodel0, axiom,  (v1_relat_1(a_0_4_fomodel0) & v1_funct_1(a_0_4_fomodel0)) ).
fof(s4_fomodel0, axiom,  ( (! [A] :  ~ ( (r2_tarski(A, f1_s4_fomodel0) &  (! [B] :  ~ ( (r2_tarski(B, f1_s4_fomodel0) &  (p1_s4_fomodel0(B, f1_s4_fomodel0) & A=f2_s4_fomodel0(B, f1_s4_fomodel0)) ) ) ) ) ) )  => r1_tarski(f1_s4_fomodel0, a_0_5_fomodel0)) ).
fof(s5_fomodel0, axiom,  ( (! [A] :  (r2_tarski(A, f1_s5_fomodel0) => p1_s5_fomodel0(A, f1_s5_fomodel0)) )  => r1_tarski(f1_s5_fomodel0, a_0_6_fomodel0)) ).
fof(s6_fomodel0, axiom,  ( (! [A] :  (r2_tarski(A, f1_s6_fomodel0) => p1_s6_fomodel0(A)) )  => f1_s6_fomodel0=a_0_7_fomodel0) ).
fof(fraenkel_a_1_0_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_hidden(A, a_1_0_fomodel0(B)) <=>  (? [C] :  (m1_subset_1(C, k4_ordinal1) & A=k8_funct_7(B, C)) ) ) ) ) ).
fof(fraenkel_a_1_1_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_hidden(A, a_1_1_fomodel0(B)) <=>  (? [C] :  (m1_subset_1(C, k9_xtuple_0(B)) &  (A=k4_tarski(C, k1_funct_1(B, C)) & r2_tarski(C, k9_xtuple_0(B))) ) ) ) ) ) ).
fof(fraenkel_a_1_2_fomodel0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (r2_hidden(A, a_1_2_fomodel0(B)) <=>  (? [C] :  (m1_subset_1(C, B) & A=k10_finseq_1(C, C)) ) ) ) ) ).
fof(fraenkel_a_1_3_fomodel0, axiom,  (! [A, B] :  (v4_funct_1(B) =>  (r2_hidden(A, a_1_3_fomodel0(B)) <=>  (? [C] :  (m1_subset_1(C, k2_xboole_0(B, k1_tarski(k1_xboole_0))) &  (A=k10_xtuple_0(C) & r2_tarski(C, B)) ) ) ) ) ) ).
fof(fraenkel_a_1_4_fomodel0, axiom,  (! [A, B] :  (v4_funct_1(B) =>  (r2_hidden(A, a_1_4_fomodel0(B)) <=>  (? [C] :  (m1_subset_1(C, B) &  (A=k10_xtuple_0(C) & r2_tarski(C, B)) ) ) ) ) ) ).
fof(dt_o_1_5_fomodel0, axiom,  (! [A] : m2_subset_1(o_1_5_fomodel0(A), k1_zfmisc_1(k10_xtuple_0(A)), k7_subset_1(k1_zfmisc_1(k10_xtuple_0(A)), k9_setfam_1(k10_xtuple_0(A)), k10_xtuple_0(A)))) ).
fof(fraenkel_a_1_6_fomodel0, axiom,  (! [A, B] :  (r2_hidden(A, a_1_6_fomodel0(B)) <=>  (? [C] :  (m1_subset_1(C, B) & A=C) ) ) ) ).
fof(fraenkel_a_0_0_fomodel0, axiom,  (! [A] :  (r2_hidden(A, a_0_0_fomodel0) <=>  (? [B] :  (m1_subset_1(B, f1_s1_fomodel0) &  (A=f3_s1_fomodel0(B) & r2_tarski(B, f1_s1_fomodel0)) ) ) ) ) ).
fof(fraenkel_a_0_1_fomodel0, axiom,  (! [A] :  (r2_hidden(A, a_0_1_fomodel0) <=>  (? [B] :  (m1_subset_1(B, f2_s1_fomodel0) &  (A=f3_s1_fomodel0(B) & r2_tarski(B, f1_s1_fomodel0)) ) ) ) ) ).
fof(fraenkel_a_0_2_fomodel0, axiom,  (! [A] :  (r2_hidden(A, a_0_2_fomodel0) <=>  (? [B] :  (m1_subset_1(B, f1_s2_fomodel0) &  (A=f2_s2_fomodel0(B) & p1_s2_fomodel0(B, f1_s2_fomodel0)) ) ) ) ) ).
fof(dt_o_0_3_fomodel0, axiom, m1_subset_1(o_0_3_fomodel0, f1_s2_fomodel0)).
fof(fraenkel_a_0_4_fomodel0, axiom,  (! [A] :  (r2_hidden(A, a_0_4_fomodel0) <=>  (? [B] :  (m1_subset_1(B, f1_s3_fomodel0) &  (A=k4_tarski(B, f2_s3_fomodel0(B)) & p1_s3_fomodel0(B)) ) ) ) ) ).
fof(fraenkel_a_0_5_fomodel0, axiom,  (! [A] :  (r2_hidden(A, a_0_5_fomodel0) <=>  (? [B] :  (m1_subset_1(B, f1_s4_fomodel0) &  (A=f2_s4_fomodel0(B, f1_s4_fomodel0) & p1_s4_fomodel0(B, f1_s4_fomodel0)) ) ) ) ) ).
fof(fraenkel_a_0_6_fomodel0, axiom,  (! [A] :  (r2_hidden(A, a_0_6_fomodel0) <=>  (? [B] :  (m1_subset_1(B, f1_s5_fomodel0) &  (A=B & p1_s5_fomodel0(B, f1_s5_fomodel0)) ) ) ) ) ).
fof(fraenkel_a_0_7_fomodel0, axiom,  (! [A] :  (r2_hidden(A, a_0_7_fomodel0) <=>  (? [B] :  (m1_subset_1(B, f1_s6_fomodel0) &  (A=B & p1_s6_fomodel0(B)) ) ) ) ) ).
fof(fc1_fomodel1, axiom,  (! [A] :  ( (v8_ordinal1(A) & v1_int_1(A))  =>  (v8_ordinal1(k9_complex1(A)) & v1_int_1(k9_complex1(A))) ) ) ).
fof(fc2_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  & l4_struct_0(A))  =>  ~ (v1_xboole_0(k4_xboole_0(u1_struct_0(A), k6_domain_1(u1_struct_0(A), u3_struct_0(A))))) ) ) ).
fof(rc1_fomodel1, axiom,  (? [A] :  (l1_fomodel1(A) & v1_fomodel1(A)) ) ).
fof(rc2_fomodel1, axiom,  (? [A] :  (l4_struct_0(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  ~ (v8_struct_0(A)) ) ) ) ) ) ).
fof(fc3_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  ( ~ (v8_struct_0(A))  & l4_struct_0(A)) )  =>  ~ (v1_finset_1(k8_relat_1(k14_fomodel1(A), k6_domain_1(k4_ordinal1, k5_numbers)))) ) ) ).
fof(rc3_fomodel1, axiom,  (? [A] :  (l1_fomodel1(A) &  ~ (v6_struct_0(A)) ) ) ).
fof(rc4_fomodel1, axiom,  (? [A] :  (l1_fomodel1(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  ( ~ (v7_struct_0(A))  & v11_fomodel1(A)) ) ) ) ) ).
fof(fc4_fomodel1, axiom,  (! [A] :  ( (v11_fomodel1(A) & l1_fomodel1(A))  =>  ~ (v1_finset_1(k2_fomodel1(A))) ) ) ).
fof(fc5_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v7_fomodel1(k7_fomodel1(A), A)) ) ).
fof(fc6_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  ~ (v1_xboole_0(k5_fomodel1(A))) ) ) ).
fof(cc1_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  (v9_fomodel1(B, A) => v10_fomodel1(B, A)) ) ) ) ) ).
fof(cc2_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  (v7_fomodel1(B, A) => v5_fomodel1(B, A)) ) ) ) ) ).
fof(cc3_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  (v6_fomodel1(B, A) => v8_fomodel1(B, A)) ) ) ) ) ).
fof(cc4_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  (v4_fomodel1(B, A) => v8_fomodel1(B, A)) ) ) ) ) ).
fof(cc5_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  (v8_fomodel1(B, A) => v9_fomodel1(B, A)) ) ) ) ) ).
fof(cc6_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  (v6_fomodel1(B, A) => v5_fomodel1(B, A)) ) ) ) ) ).
fof(cc7_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  (v5_fomodel1(B, A) => v10_fomodel1(B, A)) ) ) ) ) ).
fof(cc8_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  (v8_fomodel1(B, A) =>  ~ (v7_fomodel1(B, A)) ) ) ) ) ) ).
fof(cc9_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  (v4_fomodel1(B, A) =>  ~ (v7_fomodel1(B, A)) ) ) ) ) ) ).
fof(cc10_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  (v4_fomodel1(B, A) =>  ~ (v6_fomodel1(B, A)) ) ) ) ) ) ).
fof(rc5_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_fomodel1(A)) & v7_fomodel1(B, A)) ) ) ) ).
fof(rc6_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_fomodel1(A)) & v4_fomodel1(B, A)) ) ) ) ).
fof(cc11_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  ( (v5_fomodel1(B, A) & v8_fomodel1(B, A))  =>  (v5_fomodel1(B, A) & v6_fomodel1(B, A)) ) ) ) ) ) ).
fof(rc7_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_fomodel1(A)) & v10_fomodel1(B, A)) ) ) ) ).
fof(fc7_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A))) )  => v8_ordinal1(k19_fomodel1(A, B))) ) ).
fof(cc12_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (v12_fomodel1(B, A) => v3_fomodel0(B, k15_fomodel1(A))) ) ) ) ).
fof(cc13_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (v3_fomodel0(B, k15_fomodel1(A)) => v12_fomodel1(B, A)) ) ) ) ).
fof(fc8_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  ~ (v1_xboole_0(k4_xboole_0(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) ).
fof(cc14_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(cc15_fomodel1, axiom,  (! [A] :  (l1_fomodel1(A) =>  ( ( ~ (v6_struct_0(A))  & v11_fomodel1(A))  =>  ( ~ (v6_struct_0(A))  &  ( ~ (v8_struct_0(A))  & v11_fomodel1(A)) ) ) ) ) ).
fof(fc9_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  ~ (v1_finset_1(k1_fomodel1(A))) ) ) ).
fof(cc16_fomodel1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) ) )  =>  (! [C] :  (m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))) =>  (v14_fomodel1(C, A, B) => v13_fomodel1(C, B)) ) ) ) ) ).
fof(fc10_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  ~ (v1_xboole_0(k27_fomodel1(A))) ) ) ).
fof(fc11_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & v7_ordinal1(B))  =>  ~ (v1_xboole_0(k1_funct_1(k28_fomodel1(A), B))) ) ) ).
fof(cc17_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & v7_ordinal1(B))  =>  (! [C] :  (m1_subset_1(C, k1_funct_1(k28_fomodel1(A), B)) =>  ~ (v1_xboole_0(C)) ) ) ) ) ).
fof(cc18_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k29_fomodel1(A)) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(rc8_fomodel1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) ) )  =>  (? [C] :  (m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))) &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  ( ~ (v1_xboole_0(C))  &  ( ~ (v8_ordinal1(C))  &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_finseq_1(C) &  (v2_finseq_1(C) &  (v4_card_3(C) &  (v2_pre_poly(C) & v14_fomodel1(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc19_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) =>  (v14_fomodel1(B, k5_numbers, A) => v3_card_1(B, 1)) ) ) ) ) ).
fof(fc12_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v14_fomodel1(B, k5_numbers, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  => v4_fomodel1(k1_funct_1(k22_fomodel1(A), B), A)) ) ).
fof(fc13_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v13_fomodel1(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  => v8_fomodel1(k1_funct_1(k22_fomodel1(A), B), A)) ) ).
fof(fc14_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & v7_ordinal1(B))  => v12_fomodel1(k1_funct_1(k28_fomodel1(A), B), A)) ) ).
fof(fc15_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & m1_subset_1(B, k3_fomodel0(k3_finseq_2(k15_fomodel1(A)), k29_fomodel1(A))))  => v1_relat_1(k1_funct_1(k21_fomodel1(A), B))) ) ).
fof(fc16_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & m1_subset_1(B, k3_fomodel0(k3_finseq_2(k15_fomodel1(A)), k29_fomodel1(A))))  =>  (v1_relat_1(k1_funct_1(k21_fomodel1(A), B)) & v1_funct_1(k1_funct_1(k21_fomodel1(A), B))) ) ) ).
fof(rc9_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] :  (m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  ( ~ (v1_xboole_0(B))  &  ( ~ (v8_ordinal1(B))  &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) &  (v4_card_3(B) &  (v2_pre_poly(B) & v15_fomodel1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc17_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v15_fomodel1(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  => v7_fomodel1(k1_funct_1(k22_fomodel1(A), B), A)) ) ).
fof(fc18_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  ~ (v1_xboole_0(k31_fomodel1(A))) ) ) ).
fof(cc20_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k32_fomodel1(A)) => v15_fomodel1(B, A)) ) ) ) ).
fof(fc19_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v12_fomodel1(k27_fomodel1(A), A)) ) ).
fof(fc20_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v13_fomodel1(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  => v3_card_1(k33_fomodel1(A, B), k1_int_2(k30_fomodel1(A, B)))) ) ).
fof(fc21_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v14_fomodel1(B, k5_numbers, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  => v1_xboole_0(k33_fomodel1(A, B))) ) ).
fof(fc22_fomodel1, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k4_ordinal1) &  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  &  (v14_fomodel1(C, k2_xcmplx_0(A, 1), B) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)))) ) )  => v5_relat_1(k33_fomodel1(B, C), k3_funct_2(k4_ordinal1, k9_setfam_1(k3_finseq_2(k15_fomodel1(B))), k28_fomodel1(B), A))) ) ).
fof(fc23_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v15_fomodel1(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  =>  (v1_relat_1(k34_fomodel1(A, B)) &  (v1_funct_1(k34_fomodel1(A, B)) &  (v3_card_1(k34_fomodel1(A, B), k1_int_2(k19_fomodel1(A, k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k15_fomodel1(A), k22_fomodel1(A), B)))) & v1_finseq_1(k34_fomodel1(A, B))) ) ) ) ) ).
fof(cc21_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k35_fomodel1(A)) => v13_fomodel1(B, A)) ) ) ) ).
fof(cc22_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  ( ( ~ (v7_fomodel1(B, A))  & v10_fomodel1(B, A))  =>  (v8_fomodel1(B, A) & v10_fomodel1(B, A)) ) ) ) ) ) ).
fof(cc23_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  ( ( ~ (v4_fomodel1(B, A))  & v8_fomodel1(B, A))  =>  (v6_fomodel1(B, A) & v8_fomodel1(B, A)) ) ) ) ) ) ).
fof(cc24_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k16_fomodel1(A)) => v4_fomodel1(B, A)) ) ) ) ).
fof(fc24_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  ~ (v5_fomodel1(k8_fomodel1(A), A)) ) ) ).
fof(fc25_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  ~ (v9_fomodel1(k8_fomodel1(A), A)) ) ) ).
fof(fc26_fomodel1, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v8_ordinal1(B) &  (v14_fomodel1(C, B, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => v8_ordinal1(k38_fomodel1(A, C))) ) ).
fof(fc27_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v5_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A))) )  =>  ~ (v8_ordinal1(k19_fomodel1(A, B))) ) ) ).
fof(fc28_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v8_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A))) )  =>  (v1_xxreal_0(k19_fomodel1(A, B)) &  ~ (v3_xxreal_0(k19_fomodel1(A, B))) ) ) ) ).
fof(fc29_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v7_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A))) )  =>  (v1_xxreal_0(k19_fomodel1(A, B)) & v3_xxreal_0(k19_fomodel1(A, B))) ) ) ).
fof(fc30_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (v1_relat_1(k21_fomodel1(A)) &  (v1_funct_1(k21_fomodel1(A)) & v1_pre_poly(k21_fomodel1(A))) ) ) ) ).
fof(fc31_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v1_relat_1(B) &  (v5_relat_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) ) )  =>  ~ (v1_xboole_0(k1_funct_1(k21_fomodel1(A), B))) ) ) ).
fof(fc32_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A))) )  => v14_fomodel1(k5_finseq_1(B), k5_numbers, A)) ) ).
fof(cc25_fomodel1, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v7_ordinal1(B) & v7_ordinal1(C)) )  =>  (! [D] :  (m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) =>  (v14_fomodel1(D, k2_xcmplx_0(B, k3_xcmplx_0(k5_numbers, C)), A) => v14_fomodel1(D, k2_xcmplx_0(B, C), A)) ) ) ) ) ).
fof(cc26_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  ( ( ~ (v5_fomodel1(B, A))  & v9_fomodel1(B, A))  =>  (v4_fomodel1(B, A) & v9_fomodel1(B, A)) ) ) ) ) ) ).
fof(fc33_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v13_fomodel1(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  =>  (v1_relat_1(k33_fomodel1(A, B)) & v5_relat_1(k33_fomodel1(A, B), k3_finseq_2(k10_xtuple_0(B)))) ) ) ).
fof(fc34_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v15_fomodel1(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  =>  (v1_relat_1(k34_fomodel1(A, B)) & v5_relat_1(k34_fomodel1(A, B), k3_finseq_2(k10_xtuple_0(B)))) ) ) ).
fof(fc35_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & m1_subset_1(B, k4_ordinal1))  => v1_setfam_1(k1_funct_1(k39_fomodel1(A), B))) ) ).
fof(fc36_fomodel1, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v7_ordinal1(B) &  (v13_fomodel1(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => v14_fomodel1(k13_fomodel0(B, C), k2_xcmplx_0(k38_fomodel1(A, C), B), A)) ) ).
fof(cc27_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) =>  (v13_fomodel1(B, A) => v5_relat_1(B, k5_fomodel1(A))) ) ) ) ) ).
fof(fc37_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v1_xboole_0(k4_xboole_0(k35_fomodel1(A), k3_finseq_2(k5_fomodel1(A))))) ) ).
fof(fc38_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v15_fomodel1(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  =>  (v5_relat_1(k34_fomodel1(A, B), k3_finseq_2(k5_fomodel1(A))) & v3_card_1(k34_fomodel1(A, B), k1_int_2(k19_fomodel1(A, k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k15_fomodel1(A), k22_fomodel1(A), B))))) ) ) ).
fof(cc28_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) =>  (v15_fomodel1(B, A) => v5_relat_1(B, k17_fomodel1(A))) ) ) ) ) ).
fof(fc39_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  ~ (v1_xboole_0(k9_fomodel1(A))) ) ) ).
fof(rc10_fomodel1, axiom,  (? [A] :  (l1_fomodel1(A) &  ( ~ (v2_struct_0(A))  & v1_fomodel1(A)) ) ) ).
fof(fc40_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v16_fomodel1(k22_fomodel0(A), A)) ) ).
fof(rc11_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] :  (l1_fomodel1(B) &  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  ( ~ (v8_struct_0(B))  &  (v11_fomodel1(B) & v16_fomodel1(B, A)) ) ) ) ) ) ) ) ) ).
fof(fc41_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) &  (v16_fomodel1(B, A) & l1_fomodel1(B)) ) ) )  => v1_xboole_0(k4_xboole_0(k37_fomodel1(A), k37_fomodel1(B)))) ) ).
fof(fc42_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_fomodel1(A))  &  (v1_relat_1(B) &  (v5_relat_1(B, k4_numbers) & v1_funct_1(B)) ) )  =>  ( ~ (v2_struct_0(k40_fomodel1(B, A)))  &  (v1_fomodel1(k40_fomodel1(B, A)) & v16_fomodel1(k40_fomodel1(B, A), A)) ) ) ) ).
fof(cc29_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  & l1_fomodel1(A))  =>  (! [B] :  (l1_fomodel1(B) =>  (v16_fomodel1(B, A) =>  ~ (v6_struct_0(B)) ) ) ) ) ) ).
fof(cc30_fomodel1, axiom,  (! [A] :  ( (v11_fomodel1(A) & l1_fomodel1(A))  =>  (! [B] :  (l1_fomodel1(B) =>  (v16_fomodel1(B, A) => v11_fomodel1(B)) ) ) ) ) ).
fof(fc43_fomodel1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(k6_relat_1(B, A)) & v1_xboole_0(k6_relat_1(B, A))) ) ) ).
fof(fc44_fomodel1, axiom,  (! [A, B] :  (v1_int_1(B) =>  (v1_relat_1(k2_funcop_1(A, B)) &  (v5_relat_1(k2_funcop_1(A, B), k4_numbers) & v1_funct_1(k2_funcop_1(A, B))) ) ) ) ).
fof(fc45_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & v4_funct_1(B))  =>  ~ (v1_finset_1(k4_xboole_0(k16_fomodel1(k41_fomodel1(A, B)), k21_fomodel0(B)))) ) ) ).
fof(rc12_fomodel1, axiom,  (? [A] :  (l1_fomodel1(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  ( ~ (v8_struct_0(A))  &  (v1_orders_4(A) & v11_fomodel1(A)) ) ) ) ) ) ) ).
fof(fc46_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v1_orders_4(A) &  (v11_fomodel1(A) & l1_fomodel1(A)) ) )  => v4_card_3(k1_fomodel1(A))) ) ).
fof(fc47_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v1_orders_4(A) &  (v11_fomodel1(A) & l1_fomodel1(A)) ) )  => v4_card_3(k4_xboole_0(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ).
fof(fc48_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_fomodel1(A))  &  (v1_relat_1(B) &  (v5_relat_1(B, k4_numbers) & v1_funct_1(B)) ) )  => v1_xboole_0(k5_xboole_0(k15_fomodel1(k40_fomodel1(B, A)), k2_xboole_0(k9_xtuple_0(B), k15_fomodel1(A))))) ) ).
fof(fc49_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v1_orders_4(A) &  (v11_fomodel1(A) & l1_fomodel1(A)) ) )  & v4_funct_1(B))  => v1_orders_4(k41_fomodel1(A, B))) ) ).
fof(fc50_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  ~ (v1_finset_1(k11_fomodel1(A))) ) ) ).
fof(fc51_fomodel1, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v13_fomodel1(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v13_fomodel1(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => v15_fomodel1(k7_finseq_1(k42_fomodel1(A, k43_fomodel1(A, k18_fomodel1(A)), B), C), A)) ) ).
fof(d1_fomodel1, axiom,  (! [A] :  (l1_fomodel1(A) => k1_fomodel1(A)=u1_struct_0(A)) ) ).
fof(d2_fomodel1, axiom,  (! [A] :  (l1_fomodel1(A) => k2_fomodel1(A)=k8_relset_1(k6_subset_1(u1_struct_0(A), k1_tarski(u3_struct_0(A))), k4_numbers, u1_fomodel1(A), k6_domain_1(k4_ordinal1, k5_numbers))) ) ).
fof(d3_fomodel1, axiom,  (! [A] :  (l1_fomodel1(A) => k3_fomodel1(A)=k8_relset_1(k6_subset_1(u1_struct_0(A), k1_tarski(u3_struct_0(A))), k4_numbers, u1_fomodel1(A), k6_subset_1(k4_ordinal1, k6_domain_1(k4_ordinal1, k5_numbers)))) ) ).
fof(d4_fomodel1, axiom,  (! [A] :  (l1_fomodel1(A) => k4_fomodel1(A)=k8_relset_1(k6_subset_1(u1_struct_0(A), k1_tarski(u3_struct_0(A))), k4_numbers, u1_fomodel1(A), k6_subset_1(k4_numbers, k4_ordinal1))) ) ).
fof(d5_fomodel1, axiom,  (! [A] :  (l1_fomodel1(A) => k5_fomodel1(A)=k8_relset_1(k6_subset_1(u1_struct_0(A), k1_tarski(u3_struct_0(A))), k4_numbers, u1_fomodel1(A), k4_ordinal1)) ) ).
fof(d6_fomodel1, axiom,  (! [A] :  (l1_fomodel1(A) => k6_fomodel1(A)=k8_relset_1(k6_subset_1(u1_struct_0(A), k1_tarski(u3_struct_0(A))), k4_numbers, u1_fomodel1(A), k6_subset_1(k4_numbers, k6_domain_1(k4_ordinal1, k5_numbers)))) ) ).
fof(d7_fomodel1, axiom,  (! [A] :  (l1_fomodel1(A) => k7_fomodel1(A)=u2_struct_0(A)) ) ).
fof(d8_fomodel1, axiom,  (! [A] :  (l1_fomodel1(A) => k8_fomodel1(A)=u3_struct_0(A)) ) ).
fof(d9_fomodel1, axiom,  (! [A] :  (l1_fomodel1(A) => k9_fomodel1(A)=k6_subset_1(u1_struct_0(A), k2_tarski(u2_struct_0(A), u3_struct_0(A)))) ) ).
fof(d10_fomodel1, axiom,  (! [A] :  (l1_fomodel1(A) => k10_fomodel1(A)=k6_subset_1(k1_fomodel1(A), k1_tarski(k8_fomodel1(A)))) ) ).
fof(d11_fomodel1, axiom,  (! [A] :  (l1_fomodel1(A) => k11_fomodel1(A)=k4_finseq_2(1, k2_fomodel1(A))) ) ).
fof(d12_fomodel1, axiom,  (! [A] :  (l1_fomodel1(A) =>  (v2_fomodel1(A) <=>  ~ (v1_xboole_0(k3_fomodel1(A))) ) ) ) ).
fof(d13_fomodel1, axiom,  (! [A] :  (l1_fomodel1(A) =>  (v3_fomodel1(A) <=>  ~ (v1_xboole_0(k6_subset_1(k4_fomodel1(A), k1_tarski(k7_fomodel1(A))))) ) ) ) ).
fof(d14_fomodel1, axiom,  (! [A] :  (l1_fomodel1(A) =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  (v4_fomodel1(B, A) <=> r2_tarski(B, k2_fomodel1(A))) ) ) ) ) ).
fof(d15_fomodel1, axiom,  (! [A] :  (l1_fomodel1(A) =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  (v5_fomodel1(B, A) <=> r2_tarski(B, k6_fomodel1(A))) ) ) ) ) ).
fof(d16_fomodel1, axiom,  (! [A] :  (l1_fomodel1(A) =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  (v6_fomodel1(B, A) <=> r2_tarski(B, k3_fomodel1(A))) ) ) ) ) ).
fof(d17_fomodel1, axiom,  (! [A] :  (l1_fomodel1(A) =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  (v7_fomodel1(B, A) <=> r2_tarski(B, k4_fomodel1(A))) ) ) ) ) ).
fof(d18_fomodel1, axiom,  (! [A] :  (l1_fomodel1(A) =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  (v8_fomodel1(B, A) <=> r2_tarski(B, k5_fomodel1(A))) ) ) ) ) ).
fof(d19_fomodel1, axiom,  (! [A] :  (l1_fomodel1(A) =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  (v9_fomodel1(B, A) <=> r2_tarski(B, k9_fomodel1(A))) ) ) ) ) ).
fof(d20_fomodel1, axiom,  (! [A] :  (l1_fomodel1(A) =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  (v10_fomodel1(B, A) <=> r2_tarski(B, k10_fomodel1(A))) ) ) ) ) ).
fof(d21_fomodel1, axiom,  (! [A] :  (l4_struct_0(A) =>  (! [B] :  (m1_subset_1(B, k6_subset_1(u1_struct_0(A), k1_tarski(u3_struct_0(A)))) =>  ( (B=u2_struct_0(A) => k12_fomodel1(A, B)=k4_xcmplx_0(2))  &  ( ~ (B=u2_struct_0(A))  => k12_fomodel1(A, B)=k5_numbers) ) ) ) ) ) ).
fof(d22_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  & l4_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k6_subset_1(u1_struct_0(A), k6_domain_1(u1_struct_0(A), u3_struct_0(A))), k4_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k6_subset_1(u1_struct_0(A), k6_domain_1(u1_struct_0(A), u3_struct_0(A))), k4_numbers)))) )  =>  (B=k14_fomodel1(A) <=>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), k6_subset_1(u1_struct_0(A), k6_domain_1(u1_struct_0(A), u3_struct_0(A)))) => k3_funct_2(k6_subset_1(u1_struct_0(A), k6_domain_1(u1_struct_0(A), u3_struct_0(A))), k4_numbers, B, C)=k13_fomodel1(A, C)) ) ) ) ) ) ) ).
fof(d23_fomodel1, axiom,  (! [A] :  (l1_fomodel1(A) =>  (v11_fomodel1(A) <=>  ( ~ (v1_finset_1(k2_fomodel1(A)))  & k1_funct_1(u1_fomodel1(A), k7_fomodel1(A))=k4_xcmplx_0(2)) ) ) ) ).
fof(t1_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (k8_subset_1(k15_fomodel1(A), k16_fomodel1(A), k3_fomodel1(A))=k1_xboole_0 &  (k3_xboole_0(k5_fomodel1(A), k6_fomodel1(A))=k3_fomodel1(A) &  (k6_subset_1(k4_fomodel1(A), k9_fomodel1(A))=k1_tarski(k18_fomodel1(A)) &  (r1_tarski(k9_fomodel1(A), k17_fomodel1(A)) &  (r1_tarski(k4_fomodel1(A), k6_fomodel1(A)) &  (r1_tarski(k3_fomodel1(A), k5_fomodel1(A)) &  (r1_tarski(k16_fomodel1(A), k5_fomodel1(A)) &  (r1_tarski(k5_fomodel1(A), k9_fomodel1(A)) &  (r1_tarski(k3_fomodel1(A), k6_fomodel1(A)) & r1_tarski(k6_fomodel1(A), k17_fomodel1(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(d24_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( (v10_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  => k19_fomodel1(A, B)=k1_funct_1(u1_fomodel1(A), B)) ) ) ) ).
fof(d25_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k20_fomodel1(A)=k11_monoid_0(k15_fomodel1(A))) ) ).
fof(d26_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k21_fomodel1(A)=k9_fomodel0(k15_fomodel1(A))) ) ).
fof(d27_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k22_fomodel1(A)=k7_fomodel0(k15_fomodel1(A))) ) ).
fof(d28_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (v12_fomodel1(B, A) <=> v3_fomodel0(B, k15_fomodel1(A))) ) ) ) ).
fof(d31_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k27_fomodel1(A)=k3_tarski(k10_xtuple_0(k25_fomodel1(A)))) ) ).
fof(t2_fomodel1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  => r1_tarski(k1_funct_1(k25_fomodel1(B), A), k27_fomodel1(B))) ) ) ) ).
fof(d32_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m2_subset_1(B, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) =>  (v13_fomodel1(B, A) <=> r2_tarski(B, k27_fomodel1(A))) ) ) ) ) ).
fof(d33_fomodel1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  (m2_subset_1(C, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))) =>  (v14_fomodel1(C, A, B) <=> r2_tarski(C, k1_funct_1(k25_fomodel1(B), A))) ) ) ) ) ) ) ).
fof(d34_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( (v13_fomodel1(B, A) & m2_subset_1(B, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  => k30_fomodel1(A, B)=k19_fomodel1(A, k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k15_fomodel1(A), k22_fomodel1(A), B))) ) ) ) ).
fof(t3_fomodel1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  ( (v14_fomodel1(C, k2_xcmplx_0(A, 1), B) & m2_subset_1(C, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  =>  (? [D] :  (m2_subset_1(D, k3_finseq_2(k3_finseq_2(k15_fomodel1(B))), k3_fomodel0(k3_finseq_2(k15_fomodel1(B)), k3_funct_2(k4_ordinal1, k9_setfam_1(k3_finseq_2(k15_fomodel1(B))), k28_fomodel1(B), A))) &  (v3_card_1(D, k1_int_2(k19_fomodel1(B, k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)), k15_fomodel1(B), k22_fomodel1(B), C)))) & C=k7_finseq_1(k12_finseq_1(k15_fomodel1(B), k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)), k15_fomodel1(B), k22_fomodel1(B), C)), k3_funct_2(k3_finseq_2(k3_finseq_2(k15_fomodel1(B))), k3_finseq_2(k15_fomodel1(B)), k21_fomodel1(B), D))) ) ) ) ) ) ) ) ) ).
fof(d35_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m2_subset_1(B, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) =>  (v15_fomodel1(B, A) <=>  (? [C] :  ( (v7_fomodel1(C, A) & m1_subset_1(C, k1_fomodel1(A)))  &  (? [D] :  ( (v3_card_1(D, k1_int_2(k19_fomodel1(A, C))) & m2_subset_1(D, k3_finseq_2(k3_finseq_2(k15_fomodel1(A))), k3_fomodel0(k3_finseq_2(k15_fomodel1(A)), k29_fomodel1(A))))  & B=k7_finseq_1(k12_finseq_1(k1_fomodel1(A), C), k3_funct_2(k3_finseq_2(k3_finseq_2(k15_fomodel1(A))), k3_finseq_2(k15_fomodel1(A)), k21_fomodel1(A), D))) ) ) ) ) ) ) ) ) ).
fof(d37_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( (v13_fomodel1(B, A) & m2_subset_1(B, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  =>  (! [C] :  (m2_subset_1(C, k3_finseq_2(k3_finseq_2(k15_fomodel1(A))), k3_fomodel0(k3_finseq_2(k15_fomodel1(A)), k29_fomodel1(A))) =>  (C=k33_fomodel1(A, B) <=>  (v3_card_1(C, k1_int_2(k19_fomodel1(A, k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k15_fomodel1(A), k22_fomodel1(A), B)))) & B=k7_finseq_1(k12_finseq_1(k15_fomodel1(A), k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k15_fomodel1(A), k22_fomodel1(A), B)), k3_funct_2(k3_finseq_2(k3_finseq_2(k15_fomodel1(A))), k3_finseq_2(k15_fomodel1(A)), k21_fomodel1(A), C))) ) ) ) ) ) ) ) ).
fof(d38_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( (v15_fomodel1(B, A) & m2_subset_1(B, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  =>  (! [C] :  ( (v3_card_1(C, k1_int_2(k19_fomodel1(A, k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k15_fomodel1(A), k22_fomodel1(A), B)))) & m2_subset_1(C, k3_finseq_2(k3_finseq_2(k15_fomodel1(A))), k3_fomodel0(k3_finseq_2(k15_fomodel1(A)), k29_fomodel1(A))))  =>  (C=k34_fomodel1(A, B) <=> B=k7_finseq_1(k12_finseq_1(k15_fomodel1(A), k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k15_fomodel1(A), k22_fomodel1(A), B)), k3_funct_2(k3_finseq_2(k3_finseq_2(k15_fomodel1(A))), k3_finseq_2(k15_fomodel1(A)), k21_fomodel1(A), C))) ) ) ) ) ) ) ).
fof(d39_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k35_fomodel1(A), k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k35_fomodel1(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k35_fomodel1(A), k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k35_fomodel1(A)))))) )  =>  (B=k36_fomodel1(A) <=>  (! [C] :  (m2_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k35_fomodel1(A)) => k3_funct_2(k35_fomodel1(A), k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k35_fomodel1(A)), B, C)=k33_fomodel1(A, C)) ) ) ) ) ) ) ).
fof(t4_fomodel1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v6_struct_0(C))  &  (v11_fomodel1(C) & l1_fomodel1(C)) )  => r1_tarski(k1_funct_1(k28_fomodel1(C), A), k1_funct_1(k28_fomodel1(C), k2_xcmplx_0(A, B)))) ) ) ) ) ) ).
fof(t5_fomodel1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  ~ ( (r2_tarski(A, k35_fomodel1(B)) &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ (r2_tarski(A, k3_funct_2(k4_ordinal1, k9_setfam_1(k3_finseq_2(k15_fomodel1(B))), k28_fomodel1(B), C))) ) ) ) ) ) ) ) ).
fof(t6_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => r1_tarski(k35_fomodel1(A), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ).
fof(t7_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v12_fomodel1(k35_fomodel1(A), A)) ) ).
fof(t8_fomodel1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (r2_tarski(A, k35_fomodel1(B)) => m2_subset_1(A, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)))) ) ) ) ).
fof(t9_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k7_subset_1(k15_fomodel1(A), k17_fomodel1(A), k9_fomodel1(A))=k6_domain_1(k1_fomodel1(A), k18_fomodel1(A))) ) ).
fof(t10_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k6_subset_1(k5_fomodel1(A), k16_fomodel1(A))=k3_fomodel1(A)) ) ).
fof(t11_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k7_subset_1(k15_fomodel1(A), k17_fomodel1(A), k4_fomodel1(A))=k5_fomodel1(A)) ) ).
fof(t12_fomodel1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (m2_subset_1(A, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))) <=>  ( ~ (v1_xboole_0(A))  & m2_finseq_2(A, k15_fomodel1(B), k3_finseq_2(k15_fomodel1(B)))) ) ) ) ) ).
fof(t13_fomodel1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (m2_subset_1(A, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))) <=>  ( ~ (v1_xboole_0(A))  & m1_fomodel0(A, k15_fomodel1(B))) ) ) ) ) ).
fof(t14_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (v1_funct_1(k28_fomodel1(A)) &  (v1_funct_2(k28_fomodel1(A), k4_ordinal1, k9_setfam_1(k3_finseq_2(k15_fomodel1(A)))) & m1_subset_1(k28_fomodel1(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k3_finseq_2(k15_fomodel1(A))))))) ) ) ) ).
fof(t15_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  ~ ( ( ~ (B=k8_fomodel1(A))  &  ( ~ (B=k18_fomodel1(A))  &  ~ (r2_tarski(B, k37_fomodel1(A))) ) ) ) ) ) ) ) ).
fof(d40_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( (v13_fomodel1(B, A) & m2_subset_1(B, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  =>  (! [C] :  (v7_ordinal1(C) =>  (C=k38_fomodel1(A, B) <=>  (v14_fomodel1(B, C, A) &  (! [D] :  (v7_ordinal1(D) =>  (v14_fomodel1(B, D, A) => r1_xxreal_0(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( (v13_fomodel1(B, A) & m2_subset_1(B, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  =>  ( ~ (v14_fomodel1(B, k5_numbers, A))  =>  (v6_fomodel1(k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k15_fomodel1(A), k22_fomodel1(A), B), A) &  ~ (k33_fomodel1(A, B)=k1_xboole_0) ) ) ) ) ) ) ).
fof(t17_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( (v15_fomodel1(B, A) & m2_subset_1(B, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  =>  ( ~ (k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k15_fomodel1(A), k22_fomodel1(A), B)=k18_fomodel1(A))  => v5_relat_1(B, k37_fomodel1(A))) ) ) ) ) ).
fof(d41_fomodel1, axiom,  (! [A] :  (l1_fomodel1(A) =>  (! [B] :  (l1_fomodel1(B) =>  (v16_fomodel1(B, A) <=>  (r1_relset_1(k6_subset_1(u1_struct_0(A), k1_tarski(u3_struct_0(A))), k4_numbers, u1_fomodel1(A), u1_fomodel1(B)) &  (k7_fomodel1(A)=k7_fomodel1(B) & k8_fomodel1(A)=k8_fomodel1(B)) ) ) ) ) ) ) ).
fof(d42_fomodel1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) & v1_funct_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_fomodel1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v1_fomodel1(C) & l1_fomodel1(C)) )  =>  (C=k40_fomodel1(A, B) <=>  (u1_fomodel1(C)=k1_funct_4(k5_relat_1(A, k6_subset_1(k9_xtuple_0(A), k6_domain_1(u1_struct_0(B), u3_struct_0(B)))), u1_fomodel1(B)) &  (u2_struct_0(C)=u2_struct_0(B) & u3_struct_0(C)=u3_struct_0(B)) ) ) ) ) ) ) ) ) ).
fof(d43_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (v4_funct_1(B) => k41_fomodel1(A, B)=k40_fomodel1(k8_funcop_1(k4_ordinal1, k23_fomodel0(k2_xboole_0(k15_fomodel1(A), k21_fomodel0(B))), k5_numbers), A)) ) ) ) ).
fof(d44_fomodel1, axiom,  (! [A] :  (l4_struct_0(A) =>  (v6_struct_0(A) <=> u2_struct_0(A)=u3_struct_0(A)) ) ) ).
fof(t18_fomodel1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  ~ ( ( ~ (v1_finset_1(k9_subset_1(k15_fomodel1(B), A, k16_fomodel1(B))))  &  (! [C] :  ( ( ~ (v6_struct_0(C))  &  (v11_fomodel1(C) & l1_fomodel1(C)) )  =>  ~ ( (k37_fomodel1(C)=k9_subset_1(k15_fomodel1(B), A, k37_fomodel1(B)) & v16_fomodel1(B, C)) ) ) ) ) ) ) ) ) ).
fof(abstractness_v1_fomodel1, axiom,  (! [A] :  (l1_fomodel1(A) =>  (v1_fomodel1(A) => A=g1_fomodel1(u1_struct_0(A), u2_struct_0(A), u3_struct_0(A), u1_fomodel1(A))) ) ) ).
fof(dt_l1_fomodel1, axiom,  (! [A] :  (l1_fomodel1(A) => l4_struct_0(A)) ) ).
fof(existence_l1_fomodel1, axiom,  (? [A] : l1_fomodel1(A)) ).
fof(dt_g1_fomodel1, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(B, A) &  (m1_subset_1(C, A) &  (v1_funct_1(D) &  (v1_funct_2(D, k6_subset_1(A, k1_tarski(C)), k4_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k6_subset_1(A, k1_tarski(C)), k4_numbers)))) ) ) )  =>  (v1_fomodel1(g1_fomodel1(A, B, C, D)) & l1_fomodel1(g1_fomodel1(A, B, C, D))) ) ) ).
fof(free_g1_fomodel1, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(B, A) &  (m1_subset_1(C, A) &  (v1_funct_1(D) &  (v1_funct_2(D, k6_subset_1(A, k1_tarski(C)), k4_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k6_subset_1(A, k1_tarski(C)), k4_numbers)))) ) ) )  =>  (! [E, F, G, H] :  (g1_fomodel1(A, B, C, D)=g1_fomodel1(E, F, G, H) =>  (A=E &  (B=F &  (C=G & D=H) ) ) ) ) ) ) ).
fof(dt_u1_fomodel1, axiom,  (! [A] :  (l1_fomodel1(A) =>  (v1_funct_1(u1_fomodel1(A)) &  (v1_funct_2(u1_fomodel1(A), k6_subset_1(u1_struct_0(A), k1_tarski(u3_struct_0(A))), k4_numbers) & m1_subset_1(u1_fomodel1(A), k1_zfmisc_1(k2_zfmisc_1(k6_subset_1(u1_struct_0(A), k1_tarski(u3_struct_0(A))), k4_numbers)))) ) ) ) ).
fof(dt_k12_fomodel1, axiom,  (! [A, B] :  ( (l4_struct_0(A) & m1_subset_1(B, k6_subset_1(u1_struct_0(A), k1_tarski(u3_struct_0(A)))))  => v1_int_1(k12_fomodel1(A, B))) ) ).
fof(dt_k13_fomodel1, axiom,  (! [A, B] :  ( (l4_struct_0(A) & m1_subset_1(B, k6_subset_1(u1_struct_0(A), k1_tarski(u3_struct_0(A)))))  => m1_subset_1(k13_fomodel1(A, B), k4_numbers)) ) ).
fof(redefinition_k13_fomodel1, axiom,  (! [A, B] :  ( (l4_struct_0(A) & m1_subset_1(B, k6_subset_1(u1_struct_0(A), k1_tarski(u3_struct_0(A)))))  => k13_fomodel1(A, B)=k12_fomodel1(A, B)) ) ).
fof(dt_k14_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  & l4_struct_0(A))  =>  (v1_funct_1(k14_fomodel1(A)) &  (v1_funct_2(k14_fomodel1(A), k6_subset_1(u1_struct_0(A), k6_domain_1(u1_struct_0(A), u3_struct_0(A))), k4_numbers) & m1_subset_1(k14_fomodel1(A), k1_zfmisc_1(k2_zfmisc_1(k6_subset_1(u1_struct_0(A), k6_domain_1(u1_struct_0(A), u3_struct_0(A))), k4_numbers)))) ) ) ) ).
fof(dt_k15_fomodel1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fomodel1(A))  =>  ~ (v1_xboole_0(k15_fomodel1(A))) ) ) ).
fof(redefinition_k15_fomodel1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fomodel1(A))  => k15_fomodel1(A)=k1_fomodel1(A)) ) ).
fof(dt_k16_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  ( ~ (v1_xboole_0(k16_fomodel1(A)))  & m1_subset_1(k16_fomodel1(A), k1_zfmisc_1(k15_fomodel1(A)))) ) ) ).
fof(redefinition_k16_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k16_fomodel1(A)=k2_fomodel1(A)) ) ).
fof(dt_k17_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  & l1_fomodel1(A))  =>  ( ~ (v1_xboole_0(k17_fomodel1(A)))  & m1_subset_1(k17_fomodel1(A), k1_zfmisc_1(k15_fomodel1(A)))) ) ) ).
fof(redefinition_k17_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  & l1_fomodel1(A))  => k17_fomodel1(A)=k10_fomodel1(A)) ) ).
fof(dt_k18_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m1_subset_1(k18_fomodel1(A), k1_fomodel1(A))) ) ).
fof(redefinition_k18_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k18_fomodel1(A)=k7_fomodel1(A)) ) ).
fof(dt_k19_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v10_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A))) )  => m1_subset_1(k19_fomodel1(A, B), k4_numbers)) ) ).
fof(dt_k20_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (v1_funct_1(k20_fomodel1(A)) &  (v1_funct_2(k20_fomodel1(A), k2_zfmisc_1(k3_finseq_2(k15_fomodel1(A)), k3_finseq_2(k15_fomodel1(A))), k3_finseq_2(k15_fomodel1(A))) & m1_subset_1(k20_fomodel1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(k15_fomodel1(A)), k3_finseq_2(k15_fomodel1(A))), k3_finseq_2(k15_fomodel1(A)))))) ) ) ) ).
fof(dt_k21_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (v1_funct_1(k21_fomodel1(A)) &  (v1_funct_2(k21_fomodel1(A), k3_finseq_2(k3_finseq_2(k15_fomodel1(A))), k3_finseq_2(k15_fomodel1(A))) & m1_subset_1(k21_fomodel1(A), k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(k3_finseq_2(k15_fomodel1(A))), k3_finseq_2(k15_fomodel1(A)))))) ) ) ) ).
fof(dt_k22_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (v1_funct_1(k22_fomodel1(A)) &  (v1_funct_2(k22_fomodel1(A), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k15_fomodel1(A)) & m1_subset_1(k22_fomodel1(A), k1_zfmisc_1(k2_zfmisc_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k15_fomodel1(A))))) ) ) ) ).
fof(dt_k24_fomodel1, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v10_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A))) )  => m2_subset_1(k24_fomodel1(A, B, C), k1_zfmisc_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))), k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))) ) ).
fof(redefinition_k24_fomodel1, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v10_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A))) )  => k24_fomodel1(A, B, C)=k23_fomodel1(A, B, C)) ) ).
fof(dt_k25_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (v1_relat_1(k25_fomodel1(A)) & v1_funct_1(k25_fomodel1(A))) ) ) ).
fof(dt_k26_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m1_subset_1(k26_fomodel1(A), k1_zfmisc_1(k3_finseq_2(k15_fomodel1(A))))) ) ).
fof(redefinition_k26_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k26_fomodel1(A)=k11_fomodel1(A)) ) ).
fof(dt_k28_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (v1_funct_1(k28_fomodel1(A)) &  (v1_funct_2(k28_fomodel1(A), k4_ordinal1, k9_setfam_1(k3_finseq_2(k15_fomodel1(A)))) & m1_subset_1(k28_fomodel1(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k3_finseq_2(k15_fomodel1(A))))))) ) ) ) ).
fof(redefinition_k28_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k28_fomodel1(A)=k25_fomodel1(A)) ) ).
fof(dt_k29_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  ( ~ (v1_xboole_0(k29_fomodel1(A)))  & m1_subset_1(k29_fomodel1(A), k1_zfmisc_1(k3_finseq_2(k15_fomodel1(A))))) ) ) ).
fof(redefinition_k29_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k29_fomodel1(A)=k27_fomodel1(A)) ) ).
fof(dt_k30_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v13_fomodel1(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  => m1_subset_1(k30_fomodel1(A, B), k4_numbers)) ) ).
fof(dt_k32_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m1_subset_1(k32_fomodel1(A), k1_zfmisc_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))) ) ).
fof(redefinition_k32_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k32_fomodel1(A)=k31_fomodel1(A)) ) ).
fof(dt_k33_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v13_fomodel1(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  => m2_subset_1(k33_fomodel1(A, B), k3_finseq_2(k3_finseq_2(k15_fomodel1(A))), k3_fomodel0(k3_finseq_2(k15_fomodel1(A)), k29_fomodel1(A)))) ) ).
fof(dt_k34_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v15_fomodel1(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  =>  (v3_card_1(k34_fomodel1(A, B), k1_int_2(k19_fomodel1(A, k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k15_fomodel1(A), k22_fomodel1(A), B)))) & m2_subset_1(k34_fomodel1(A, B), k3_finseq_2(k3_finseq_2(k15_fomodel1(A))), k3_fomodel0(k3_finseq_2(k15_fomodel1(A)), k29_fomodel1(A)))) ) ) ).
fof(dt_k35_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m2_subset_1(k35_fomodel1(A), k1_zfmisc_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))), k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))) ) ).
fof(redefinition_k35_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k35_fomodel1(A)=k27_fomodel1(A)) ) ).
fof(dt_k36_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (v1_funct_1(k36_fomodel1(A)) &  (v1_funct_2(k36_fomodel1(A), k35_fomodel1(A), k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k35_fomodel1(A))) & m1_subset_1(k36_fomodel1(A), k1_zfmisc_1(k2_zfmisc_1(k35_fomodel1(A), k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k35_fomodel1(A)))))) ) ) ) ).
fof(dt_k37_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m1_subset_1(k37_fomodel1(A), k1_zfmisc_1(k15_fomodel1(A)))) ) ).
fof(redefinition_k37_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k37_fomodel1(A)=k9_fomodel1(A)) ) ).
fof(dt_k38_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v13_fomodel1(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  => v7_ordinal1(k38_fomodel1(A, B))) ) ).
fof(dt_k39_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (v1_funct_1(k39_fomodel1(A)) &  (v1_funct_2(k39_fomodel1(A), k4_ordinal1, k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) & m1_subset_1(k39_fomodel1(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))))) ) ) ) ).
fof(redefinition_k39_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k39_fomodel1(A)=k25_fomodel1(A)) ) ).
fof(dt_k40_fomodel1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) & v1_funct_1(A)) )  &  ( ~ (v2_struct_0(B))  & l1_fomodel1(B)) )  =>  ( ~ (v2_struct_0(k40_fomodel1(A, B)))  &  (v1_fomodel1(k40_fomodel1(A, B)) & l1_fomodel1(k40_fomodel1(A, B))) ) ) ) ).
fof(dt_k41_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & v4_funct_1(B))  =>  ( ~ (v6_struct_0(k41_fomodel1(A, B)))  &  (v11_fomodel1(k41_fomodel1(A, B)) &  (v16_fomodel1(k41_fomodel1(A, B), A) & l1_fomodel1(k41_fomodel1(A, B))) ) ) ) ) ).
fof(dt_k42_fomodel1, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  => m2_subset_1(k42_fomodel1(A, B, C), k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ).
fof(redefinition_k42_fomodel1, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  => k42_fomodel1(A, B, C)=k7_finseq_1(B, C)) ) ).
fof(dt_k43_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & m1_subset_1(B, k1_fomodel1(A)))  => m2_subset_1(k43_fomodel1(A, B), k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ).
fof(redefinition_k43_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & m1_subset_1(B, k1_fomodel1(A)))  => k43_fomodel1(A, B)=k5_finseq_1(B)) ) ).
fof(d29_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( (v10_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  =>  (! [C] : k23_fomodel1(A, B, C)=a_3_0_fomodel1(A, B, C)) ) ) ) ) ).
fof(d30_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (B=k25_fomodel1(A) <=>  (k9_xtuple_0(B)=k4_ordinal1 &  (k1_funct_1(B, k5_numbers)=k11_fomodel1(A) &  (! [C] :  (v7_ordinal1(C) => k1_funct_1(B, k2_xcmplx_0(C, 1))=k2_xboole_0(k3_tarski(a_3_1_fomodel1(A, B, C)), k1_funct_1(B, C))) ) ) ) ) ) ) ) ) ).
fof(d36_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k31_fomodel1(A)=a_1_0_fomodel1(A)) ) ).
fof(fraenkel_a_3_0_fomodel1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  &  (v10_fomodel1(C, B) & m1_subset_1(C, k1_fomodel1(B))) )  =>  (r2_hidden(A, a_3_0_fomodel1(B, C, D)) <=>  (? [E] :  (m2_finseq_2(E, k3_finseq_2(k15_fomodel1(B)), k3_finseq_2(k3_finseq_2(k15_fomodel1(B)))) &  (A=k7_finseq_1(k12_finseq_1(k1_fomodel1(B), C), k3_funct_2(k3_finseq_2(k3_finseq_2(k15_fomodel1(B))), k3_finseq_2(k15_fomodel1(B)), k21_fomodel1(B), E)) &  (r1_tarski(k2_relset_1(k3_finseq_2(k15_fomodel1(B)), E), D) & v3_card_1(E, k1_int_2(k19_fomodel1(B, C)))) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_fomodel1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  &  ( (v1_relat_1(C) & v1_funct_1(C))  & v7_ordinal1(D)) )  =>  (r2_hidden(A, a_3_1_fomodel1(B, C, D)) <=>  (? [E] :  ( (v10_fomodel1(E, B) & m1_subset_1(E, k1_fomodel1(B)))  &  (A=k24_fomodel1(B, E, k1_funct_1(C, D)) & v6_fomodel1(E, B)) ) ) ) ) ) ).
fof(fraenkel_a_1_0_fomodel1, axiom,  (! [A, B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (r2_hidden(A, a_1_0_fomodel1(B)) <=>  (? [C] :  (m2_subset_1(C, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))) &  (A=C & v15_fomodel1(C, B)) ) ) ) ) ) ).
fof(cc1_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v8_fomodel1(C, A) & m1_subset_1(C, k1_fomodel1(A))) ) )  =>  (! [D] :  (m1_fomodel2(D, A, B, C) => v5_relat_1(D, B)) ) ) ) ).
fof(cc2_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  (v4_fomodel1(B, A) => v9_fomodel1(B, A)) ) ) ) ) ).
fof(cc3_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ~ (v1_xboole_0(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) )  =>  (v1_relat_1(C) &  (v1_funct_1(C) & v1_funcop_1(C)) ) ) ) ) ) ).
fof(cc4_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v9_fomodel1(C, A) & m1_subset_1(C, k1_fomodel1(A))) ) )  =>  (! [D] :  (m1_fomodel2(D, A, B, C) =>  ~ (v1_xboole_0(D)) ) ) ) ) ).
fof(rc1_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ~ (v1_xboole_0(B)) )  =>  (? [C] :  (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) ) ) ) ) ).
fof(fc1_fomodel2, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) )  &  ( (v9_fomodel1(D, A) & m1_subset_1(D, k1_fomodel1(A)))  & m1_fomodel2(E, A, B, D)) ) ) )  =>  (v1_relat_1(k1_funct_4(C, k17_funcop_1(D, E))) &  (v1_funct_1(k1_funct_4(C, k17_funcop_1(D, E))) & v1_fomodel2(k1_funct_4(C, k17_funcop_1(D, E)), A, B)) ) ) ) ).
fof(fc2_fomodel2, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) )  &  ( (v4_fomodel1(D, A) & m1_subset_1(D, k1_fomodel1(A)))  & m1_subset_1(E, B)) ) ) )  =>  (v1_relat_1(k5_fomodel2(C, D, E)) &  (v1_funct_1(k5_fomodel2(C, D, E)) & v1_fomodel2(k5_fomodel2(C, D, E), A, B)) ) ) ) ).
fof(fc3_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  ~ (v1_xboole_0(k1_fomodel1(A))) ) ) ).
fof(cc5_fomodel2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  ~ (v1_xboole_0(C)) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k9_funct_2(A, C)))) =>  ( (v1_funct_1(D) & v1_funct_2(D, B, k9_funct_2(A, C)))  =>  (v1_funct_1(D) &  (v1_funct_2(D, B, k9_funct_2(A, C)) & v1_funcop_1(D)) ) ) ) ) ) ) ).
fof(rc2_fomodel2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ~ (v1_xboole_0(C)) ) )  =>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k9_funct_2(B, C)))) &  ( ~ (v1_xboole_0(D))  &  (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v5_relat_1(D, k9_funct_2(B, C)) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v1_funct_2(D, A, k9_funct_2(B, C)) &  (v1_funcop_1(D) & v2_funcop_1(D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc4_fomodel2, axiom,  (! [A, B] :  ( ( (v1_xboole_0(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_xboole_0(k6_fomodel2(A, B)) &  (v1_relat_1(k6_fomodel2(A, B)) & v1_funct_1(k6_fomodel2(A, B))) ) ) ) ).
fof(fc5_fomodel2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  &  (v1_xboole_0(B) &  (v1_relat_1(B) & v1_funct_1(B)) ) )  =>  (v1_xboole_0(k6_fomodel2(B, A)) &  (v1_relat_1(k6_fomodel2(B, A)) & v1_funct_1(k6_fomodel2(B, A))) ) ) ) ).
fof(fc6_fomodel2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_relat_1(C) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_finseq_1(C)) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) ) )  =>  (v1_relat_1(k3_relat_1(C, D)) &  (v1_funct_1(k3_relat_1(C, D)) &  (v3_card_1(k3_relat_1(C, D), k3_finseq_1(C)) & v1_finseq_1(k3_relat_1(C, D))) ) ) ) ) ).
fof(fc7_fomodel2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_relat_1(D) &  (v5_relat_1(D, A) &  (v1_funct_1(D) & v1_finseq_1(D)) ) ) ) ) )  =>  (v1_relat_1(k3_relat_1(D, C)) & v1_finseq_1(k3_relat_1(D, C))) ) ) ).
fof(fc8_fomodel2, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v7_ordinal1(C) &  ( (v1_relat_1(D) &  (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v3_card_1(D, C) & v1_finseq_1(D)) ) ) )  &  (v1_funct_1(E) &  (v1_funct_2(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) ) ) )  => v3_card_1(k3_relat_1(D, E), C)) ) ).
fof(fc9_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) ) ) )  =>  (v1_relat_1(k10_fomodel2(A, B, C)) &  (v1_funct_1(k10_fomodel2(A, B, C)) & v2_fomodel2(k10_fomodel2(A, B, C), A, B, C)) ) ) ) ).
fof(cc6_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) ) ) )  =>  (! [D] :  (v2_fomodel2(D, A, B, C) => v1_funct_1(D)) ) ) ) ).
fof(rc3_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) ) ) )  =>  (? [D] :  (v1_relat_1(D) &  (v1_funct_1(D) & v2_fomodel2(D, A, B, C)) ) ) ) ) ).
fof(fc10_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) ) ) )  =>  (v1_relat_1(k10_fomodel2(A, B, C)) &  (v1_funct_1(k10_fomodel2(A, B, C)) & v1_fomodel2(k10_fomodel2(A, B, C), A, B)) ) ) ) ).
fof(fc11_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) ) ) )  =>  (v1_relat_1(k5_relat_1(C, k37_fomodel1(A))) &  (v5_relat_1(k5_relat_1(C, k37_fomodel1(A)), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))) & v1_funct_1(k5_relat_1(C, k37_fomodel1(A)))) ) ) ) ).
fof(fc12_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) ) ) )  =>  (v1_relat_1(k5_relat_1(C, k37_fomodel1(A))) &  (v1_funct_1(k5_relat_1(C, k37_fomodel1(A))) & v1_fomodel2(k5_relat_1(C, k37_fomodel1(A)), A, B)) ) ) ) ).
fof(fc13_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) ) ) )  =>  (v1_relat_1(k5_relat_1(C, k37_fomodel1(A))) &  (v4_relat_1(k5_relat_1(C, k37_fomodel1(A)), k37_fomodel1(A)) & v1_partfun1(k5_relat_1(C, k37_fomodel1(A)), k37_fomodel1(A))) ) ) ) ).
fof(fc14_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_xboole_0(k14_fomodel2(A, B))) ) ) ).
fof(cc7_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ~ (v1_xboole_0(B)) )  =>  (! [C] :  (m1_subset_1(C, k15_fomodel2(A, B)) => v1_fomodel2(C, A, B)) ) ) ) ).
fof(cc8_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) =>  (v3_fomodel2(B, A, k5_numbers) => v15_fomodel1(B, A)) ) ) ) ) ).
fof(cc9_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) =>  (v15_fomodel1(B, A) => v3_fomodel2(B, A, k5_numbers)) ) ) ) ) ).
fof(cc10_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & v7_ordinal1(B))  =>  (! [C] :  (m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) =>  (v3_fomodel2(C, A, B) => v4_fomodel2(C, A)) ) ) ) ) ).
fof(cc11_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v7_ordinal1(B) & v7_ordinal1(C)) )  =>  (! [D] :  (m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) =>  (v3_fomodel2(D, A, k2_xcmplx_0(B, k3_xcmplx_0(k5_numbers, C))) => v3_fomodel2(D, A, k2_xcmplx_0(B, C))) ) ) ) ) ).
fof(rc4_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & v7_ordinal1(B))  =>  (? [C] :  (m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  ( ~ (v8_ordinal1(C))  &  (v1_finset_1(C) &  (v1_finseq_1(C) &  (v2_finseq_1(C) &  (v2_pre_poly(C) & v3_fomodel2(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc15_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & v7_ordinal1(B))  =>  ~ (v1_xboole_0(k24_fomodel2(A, B))) ) ) ).
fof(rc5_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] :  (m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  ( ~ (v8_ordinal1(B))  &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) &  (v2_pre_poly(B) & v4_fomodel2(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc16_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  ~ (v1_xboole_0(k26_fomodel2(A))) ) ) ).
fof(fc17_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v12_fomodel1(k31_fomodel1(A), A)) ) ).
fof(fc18_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v12_fomodel1(k24_fomodel2(A, k5_numbers), A)) ) ).
fof(fc19_fomodel2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v7_ordinal1(B) &  ( (v3_fomodel2(C, A, B) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v3_fomodel2(D, A, B) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => v3_fomodel2(k7_finseq_1(k42_fomodel1(A, k43_fomodel1(A, k1_fomodel2(A)), C), D), A, k1_nat_1(B, 1))) ) ).
fof(fc20_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v4_fomodel2(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => v4_fomodel2(k7_finseq_1(k42_fomodel1(A, k43_fomodel1(A, k1_fomodel2(A)), B), C), A)) ) ).
fof(fc21_fomodel2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v7_ordinal1(B) &  ( (v3_fomodel2(C, A, B) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v4_fomodel1(D, A) & m1_subset_1(D, k1_fomodel1(A))) ) ) )  => v3_fomodel2(k7_finseq_1(k43_fomodel1(A, D), C), A, k1_nat_1(B, 1))) ) ).
fof(fc22_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  &  (v4_fomodel2(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => v4_fomodel2(k7_finseq_1(k43_fomodel1(A, B), C), A)) ) ).
fof(fc23_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) &  ( ~ (v7_fomodel1(C, A))  & m1_subset_1(C, k1_fomodel1(A))) ) )  =>  ~ (v15_fomodel1(k7_finseq_1(k43_fomodel1(A, C), B), A)) ) ) ).
fof(fc24_fomodel2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) &  (m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) &  ( ~ (v7_fomodel1(D, A))  & m1_subset_1(D, k1_fomodel1(A))) ) ) )  =>  ~ (v15_fomodel1(k7_finseq_1(k42_fomodel1(A, k43_fomodel1(A, D), B), C), A)) ) ) ).
fof(fc25_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  ~ (v7_fomodel1(k8_fomodel1(A), A)) ) ) ).
fof(fc26_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  =>  ~ (v15_fomodel1(k7_finseq_1(k43_fomodel1(A, k1_fomodel2(A)), B), A)) ) ) ).
fof(fc27_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  =>  ~ (v15_fomodel1(k7_finseq_1(k43_fomodel1(A, B), C), A)) ) ) ).
fof(fc28_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) &  (v4_fomodel1(C, A) & m1_subset_1(C, k1_fomodel1(A))) ) )  => v5_fomodel2(k7_finseq_1(k43_fomodel1(A, C), B), A)) ) ).
fof(rc6_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  (? [C] :  (m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  ( ~ (v8_ordinal1(C))  &  (v1_finset_1(C) &  (v1_finseq_1(C) &  (v2_finseq_1(C) &  (v2_pre_poly(C) &  (v3_fomodel2(C, A, B) &  (v4_fomodel2(C, A) & v5_fomodel2(C, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc12_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) =>  (v5_fomodel2(B, A) =>  ~ (v15_fomodel1(B, A)) ) ) ) ) ) ).
fof(rc7_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  (? [C] :  (m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  ( ~ (v8_ordinal1(C))  &  (v1_finset_1(C) &  (v1_finseq_1(C) &  (v2_finseq_1(C) &  (v2_pre_poly(C) &  ( ~ (v15_fomodel1(C, A))  &  (v3_fomodel2(C, A, B) &  (v4_fomodel2(C, A) & v5_fomodel2(C, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc8_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] :  (m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  ( ~ (v8_ordinal1(B))  &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) &  (v2_pre_poly(B) &  ( ~ (v15_fomodel1(B, A))  &  (v4_fomodel2(B, A) & v5_fomodel2(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc29_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v15_fomodel1(B, A))  &  (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  =>  (v7_ordinal1(k29_fomodel2(A, B)) &  ~ (v8_ordinal1(k29_fomodel2(A, B))) ) ) ) ).
fof(fc30_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v15_fomodel1(B, A))  &  (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  =>  ~ (v7_fomodel1(k1_funct_1(k22_fomodel1(A), B), A)) ) ) ).
fof(fc31_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & v7_ordinal1(B))  => v12_fomodel1(k24_fomodel2(A, B), A)) ) ).
fof(cc13_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k30_fomodel2(A)) => v4_fomodel2(B, A)) ) ) ) ).
fof(fc32_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v12_fomodel1(k26_fomodel2(A), A)) ) ).
fof(fc33_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v8_ordinal1(k2_xcmplx_0(k19_fomodel1(A, k31_fomodel2(A)), 2))) ) ).
fof(fc34_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v8_ordinal1(k6_xcmplx_0(k1_int_2(k19_fomodel1(A, k31_fomodel2(A))), 2))) ) ).
fof(fc35_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & v7_ordinal1(B))  =>  ~ (v1_xboole_0(k27_fomodel2(A, B))) ) ) ).
fof(fc36_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & v7_ordinal1(B))  =>  ~ (v1_xboole_0(k28_fomodel2(A, B))) ) ) ).
fof(fc37_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v5_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  => v4_fomodel1(k1_funct_1(k22_fomodel1(A), B), A)) ) ).
fof(cc14_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & v7_ordinal1(B))  =>  (! [C] :  (m1_subset_1(C, k32_fomodel2(A, B)) =>  ~ (v5_fomodel2(C, A)) ) ) ) ) ).
fof(cc15_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & v7_ordinal1(B))  =>  (! [C] :  (m1_subset_1(C, k33_fomodel2(A, B)) => v5_fomodel2(C, A)) ) ) ) ).
fof(rc9_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_fomodel1(A)) &  ~ (v4_fomodel1(B, A)) ) ) ) ) ).
fof(fc38_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) &  ( ~ (v4_fomodel1(C, A))  & m1_subset_1(C, k1_fomodel1(A))) ) )  =>  ~ (v5_fomodel2(k7_finseq_1(k43_fomodel1(A, C), B), A)) ) ) ).
fof(fc39_fomodel2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) &  (m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) &  ( ~ (v4_fomodel1(D, A))  & m1_subset_1(D, k1_fomodel1(A))) ) ) )  =>  ~ (v5_fomodel2(k7_finseq_1(k42_fomodel1(A, k43_fomodel1(A, D), B), C), A)) ) ) ).
fof(fc40_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  ~ (v4_fomodel1(k8_fomodel1(A), A)) ) ) ).
fof(cc16_fomodel2, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) ) )  =>  (! [C] :  (m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))) =>  ( ~ (v3_fomodel2(C, B, A))  =>  ~ (v3_fomodel2(C, B, A)) ) ) ) ) ) ).
fof(fc41_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v4_fomodel2(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  =>  ~ (v3_fomodel2(k7_finseq_1(k42_fomodel1(A, k43_fomodel1(A, k1_fomodel2(A)), B), C), A, k4_xxreal_0(k29_fomodel2(A, B), k29_fomodel2(A, C)))) ) ) ).
fof(fc42_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v4_fomodel1(C, A) & m1_subset_1(C, k1_fomodel1(A))) ) )  =>  ~ (v3_fomodel2(k7_finseq_1(k43_fomodel1(A, C), B), A, k29_fomodel2(A, B))) ) ) ).
fof(fc43_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v4_fomodel1(C, A) & m1_subset_1(C, k1_fomodel1(A))) ) )  => v3_fomodel2(k7_finseq_1(k43_fomodel1(A, C), B), A, k2_xcmplx_0(1, k29_fomodel2(A, B)))) ) ).
fof(cc17_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ~ (v1_xboole_0(B)) )  =>  (! [C] :  (m1_subset_1(C, k15_fomodel2(A, B)) => v4_relat_1(C, k37_fomodel1(A))) ) ) ) ).
fof(rc10_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ~ (v1_xboole_0(B)) )  =>  (? [C] :  (m1_subset_1(C, k15_fomodel2(A, B)) &  (v1_relat_1(C) &  (v4_relat_1(C, k37_fomodel1(A)) &  (v1_funct_1(C) &  (v1_funcop_1(C) &  (v2_funcop_1(C) & v1_fomodel2(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(cc18_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ~ (v1_xboole_0(B)) )  =>  (! [C] :  (m1_subset_1(C, k15_fomodel2(A, B)) =>  (v4_relat_1(C, k37_fomodel1(A)) =>  (v4_relat_1(C, k37_fomodel1(A)) & v1_partfun1(C, k37_fomodel1(A))) ) ) ) ) ) ).
fof(fc44_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v7_ordinal1(B) &  (v3_fomodel2(C, A, B) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => v3_fomodel2(k35_fomodel2(A, C), A, k1_nat_1(B, 1))) ) ).
fof(fc45_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  => v4_fomodel2(k35_fomodel2(A, B), A)) ) ).
fof(fc46_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  ~ (v9_fomodel1(k7_fomodel1(A), A)) ) ) ).
fof(fc47_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & v7_ordinal1(B))  => v1_xboole_0(k4_xboole_0(k24_fomodel2(A, B), k30_fomodel2(A)))) ) ).
fof(fc48_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v1_xboole_0(k4_xboole_0(k32_fomodel1(A), k30_fomodel2(A)))) ) ).
fof(rc11_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  (? [C] :  (m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  ( ~ (v8_ordinal1(C))  &  (v1_finset_1(C) &  (v1_finseq_1(C) &  (v2_finseq_1(C) &  (v2_pre_poly(C) &  ( ~ (v15_fomodel1(C, A))  &  (v3_fomodel2(C, A, B) &  (v4_fomodel2(C, A) &  ~ (v5_fomodel2(C, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc49_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v4_fomodel2(B, A) &  (v5_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => v1_xboole_0(k38_fomodel2(A, B))) ) ).
fof(fc50_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v15_fomodel1(B, A))  &  (v4_fomodel2(B, A) &  ( ~ (v5_fomodel2(B, A))  & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => v4_fomodel2(k38_fomodel2(A, B), A)) ) ).
fof(ie1_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v15_fomodel1(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  => k37_fomodel2(A, B)=k22_fomodel0(B)) ) ).
fof(fc51_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v15_fomodel1(B, A))  &  (v4_fomodel2(B, A) &  ( ~ (v5_fomodel2(B, A))  & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => v1_xboole_0(k5_xboole_0(k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k15_fomodel1(A), k22_fomodel1(A), B), k1_fomodel2(A)))) ) ).
fof(fc52_fomodel2, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  &  (v3_fomodel2(C, B, k1_nat_1(A, 1)) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)))) ) )  => v3_fomodel2(k37_fomodel2(B, C), B, A)) ) ).
fof(fc53_fomodel2, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  &  ( ~ (v15_fomodel1(C, B))  &  (v3_fomodel2(C, B, k1_nat_1(A, 1)) &  ( ~ (v5_fomodel2(C, B))  & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)))) ) ) ) )  => v3_fomodel2(k38_fomodel2(B, C), B, A)) ) ).
fof(ie2_fomodel2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k15_fomodel2(A, B)) &  (v15_fomodel1(D, A) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => k25_fomodel2(A, B, C, D)=k13_fomodel2(A, B, C, D)) ) ).
fof(ie3_fomodel2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k15_fomodel2(A, B)) &  (v15_fomodel1(D, A) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => k13_fomodel2(A, B, C, D)=k25_fomodel2(A, B, C, D)) ) ).
fof(rc12_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_fomodel1(A)) &  ( ~ (v4_fomodel1(B, A))  & v10_fomodel1(B, A)) ) ) ) ) ).
fof(rc13_fomodel2, axiom,  (! [A, B] :  ( (v1_finset_1(A) &  ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) ) )  =>  (? [C] :  (m1_subset_1(C, k1_fomodel1(B)) &  (v4_fomodel1(C, B) &  ( ~ (v6_fomodel1(C, B))  &  ( ~ (v7_fomodel1(C, B))  &  (v8_fomodel1(C, B) &  (v9_fomodel1(C, B) &  (v10_fomodel1(C, B) &  ~ (v7_fomodel2(C, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc54_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v13_fomodel1(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  =>  ~ (v1_xboole_0(k3_xboole_0(k2_relset_1(k5_fomodel1(A), B), k16_fomodel1(A)))) ) ) ).
fof(fc55_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  =>  ~ (v1_xboole_0(k3_xboole_0(k10_xtuple_0(B), k16_fomodel1(A)))) ) ) ).
fof(cc19_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  & m1_subset_1(C, k1_zfmisc_1(A)))  =>  (! [D] :  (m1_subset_1(D, k1_fomodel1(B)) =>  (v7_fomodel2(D, C, B) => v7_fomodel2(D, A, B)) ) ) ) ) ).
fof(cc20_fomodel2, axiom,  (! [A, B, C] :  ( ( ~ (v6_struct_0(C))  &  (v11_fomodel1(C) & l1_fomodel1(C)) )  =>  (! [D] :  (m1_subset_1(D, k1_fomodel1(C)) =>  ( ~ (v7_fomodel2(D, k13_fomodel0(B, A), C))  =>  ~ (v7_fomodel2(D, k3_xboole_0(A, B), C)) ) ) ) ) ) ).
fof(cc21_fomodel2, axiom,  (! [A, B, C] :  ( (v1_finset_1(A) &  ( ~ (v6_struct_0(C))  &  (v11_fomodel1(C) & l1_fomodel1(C)) ) )  =>  (! [D] :  (m1_subset_1(D, k1_fomodel1(C)) =>  ( ( ~ (v7_fomodel2(D, A, C))  &  ~ (v7_fomodel2(D, B, C)) )  =>  ( ~ (v7_fomodel2(D, A, C))  &  ~ (v7_fomodel2(D, k2_xboole_0(B, A), C)) ) ) ) ) ) ) ).
fof(fc56_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) ) ) )  => v1_xboole_0(k4_xboole_0(k37_fomodel1(A), k9_xtuple_0(C)))) ) ).
fof(cc22_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (v6_fomodel2(B, A) => v9_fomodel2(B, A)) ) ) ) ).
fof(fc57_fomodel2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  &  ( ( ~ (v15_fomodel1(C, B))  &  (v4_fomodel2(C, B) &  ( ~ (v5_fomodel2(C, B))  & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)))) ) )  & m1_subset_1(D, k15_fomodel2(B, A))) ) )  => v1_xboole_0(k5_xboole_0(k25_fomodel2(B, A, D, C), k20_bvfunc_1(k25_fomodel2(B, A, D, k37_fomodel2(B, C)), k25_fomodel2(B, A, D, k39_fomodel2(B, C)))))) ) ).
fof(fc58_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  ~ (v1_xboole_0(k40_fomodel2(A))) ) ) ).
fof(cc23_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k40_fomodel2(A)) =>  (v4_fomodel2(B, A) & v5_fomodel2(B, A)) ) ) ) ) ).
fof(cc24_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k40_fomodel2(A)) => v4_fomodel2(B, A)) ) ) ) ).
fof(cc25_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k40_fomodel2(A)) => v5_fomodel2(B, A)) ) ) ) ).
fof(fc59_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v1_xboole_0(k4_xboole_0(k40_fomodel2(A), k30_fomodel2(A)))) ) ).
fof(cc26_fomodel2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  &  ( ~ (v6_struct_0(C))  &  (v11_fomodel1(C) &  (v16_fomodel1(C, B) & l1_fomodel1(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_fomodel2(D, C, A)) )  =>  (v1_relat_1(D) &  (v1_funct_1(D) & v1_fomodel2(D, B, A)) ) ) ) ) ) ).
fof(fc60_fomodel2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  &  ( ( ~ (v6_struct_0(C))  &  (v11_fomodel1(C) &  (v16_fomodel1(C, B) & l1_fomodel1(C)) ) )  &  (v1_relat_1(D) &  (v1_funct_1(D) & v1_fomodel2(D, C, A)) ) ) ) )  =>  (v1_relat_1(k5_relat_1(D, k37_fomodel1(B))) &  (v1_funct_1(k5_relat_1(D, k37_fomodel1(B))) & v1_fomodel2(k5_relat_1(D, k37_fomodel1(B)), B, A)) ) ) ) ).
fof(fc61_fomodel2, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  &  ( ( ~ (v6_struct_0(C))  &  (v11_fomodel1(C) &  (v16_fomodel1(C, B) & l1_fomodel1(C)) ) )  &  (m1_subset_1(D, k15_fomodel2(B, A)) &  (v1_relat_1(E) &  (v1_funct_1(E) & v1_fomodel2(E, C, A)) ) ) ) ) )  =>  (v1_relat_1(k1_funct_4(E, D)) &  (v1_funct_1(k1_funct_4(E, D)) & v1_fomodel2(k1_funct_4(E, D), C, A)) ) ) ) ).
fof(fc62_fomodel2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  &  (v1_xboole_0(C) & m1_subset_1(D, k15_fomodel2(B, A))) ) )  => v10_fomodel2(k13_fomodel0(D, C), A, B, D)) ) ).
fof(rc14_fomodel2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v6_struct_0(C))  &  (v11_fomodel1(C) & l1_fomodel1(C)) )  & m1_subset_1(D, k15_fomodel2(C, B))) )  =>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) & v10_fomodel2(E, B, C, D)) ) ) ) ).
fof(rc15_fomodel2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  & m1_subset_1(C, k15_fomodel2(B, A))) )  =>  (? [D] : v10_fomodel2(D, A, B, C)) ) ) ).
fof(cc27_fomodel2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  &  (m1_subset_1(C, k15_fomodel2(B, A)) & v10_fomodel2(D, A, B, C)) ) )  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(D)) => v10_fomodel2(E, A, B, C)) ) ) ) ).
fof(fc63_fomodel2, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  &  (m1_subset_1(C, k15_fomodel2(B, A)) &  (v10_fomodel2(D, A, B, C) & v10_fomodel2(E, A, B, C)) ) ) )  => v10_fomodel2(k2_xboole_0(D, E), A, B, C)) ) ).
fof(fc64_fomodel2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  &  (m1_subset_1(C, k15_fomodel2(B, A)) & v10_fomodel2(D, A, B, C)) ) )  => v11_fomodel2(k13_fomodel0(D, C), B, A, D)) ) ).
fof(fc65_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v12_fomodel2(k13_fomodel0(A, k1_xboole_0), A)) ) ).
fof(rc16_fomodel2, axiom,  (! [A, B] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) & v12_fomodel2(C, A)) ) ) ) ).
fof(fc66_fomodel2, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  &  ( (v4_fomodel2(C, B) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  &  ( (v4_fomodel2(D, B) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  & m1_subset_1(E, k15_fomodel2(B, A))) ) ) )  => v1_xboole_0(k5_xboole_0(k25_fomodel2(B, A, E, k42_fomodel1(B, k42_fomodel1(B, k43_fomodel1(B, k1_fomodel2(B)), C), D)), k20_bvfunc_1(k25_fomodel2(B, A, E, C), k25_fomodel2(B, A, E, D))))) ) ).
fof(fc67_fomodel2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(D, k15_fomodel2(A, C))) ) )  => v1_xboole_0(k5_xboole_0(k25_fomodel2(A, C, D, k35_fomodel2(A, B)), k8_margrel1(k25_fomodel2(A, C, D, B))))) ) ).
fof(fc68_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  &  (v4_fomodel2(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => v1_xboole_0(k5_xboole_0(k37_fomodel2(A, k42_fomodel1(A, k43_fomodel1(A, B), C)), C))) ) ).
fof(d1_fomodel2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k2_fomodel2(A)=k10_fomodel0(k7_relset_1(k2_zfmisc_1(k3_finseq_2(A), k3_finseq_2(A)), k3_finseq_2(A), k11_monoid_0(A), k6_partfun1(k4_finseq_2(1, A))), k4_finseq_2(2, A))) ) ).
fof(d2_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v10_fomodel1(C, A) & m1_subset_1(C, k1_fomodel1(A)))  =>  (! [D] :  ( (v7_fomodel1(C, A) =>  (m1_fomodel2(D, A, B, C) <=>  (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(k1_int_2(k19_fomodel1(A, C)), B), k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(k1_int_2(k19_fomodel1(A, C)), B), k5_margrel1)))) ) ) )  &  ( ~ (v7_fomodel1(C, A))  =>  (m1_fomodel2(D, A, B, C) <=>  (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(k1_int_2(k19_fomodel1(A, C)), B), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(k1_int_2(k19_fomodel1(A, C)), B), B)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (m3_fomodel2(C, A, B) <=>  (! [D] :  ( (v9_fomodel1(D, A) & m1_subset_1(D, k1_fomodel1(A)))  => m2_fomodel2(k1_funct_1(C, D), A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d4_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (v1_fomodel2(C, A, B) <=>  (m3_fomodel2(C, A, B) & v1_funcop_1(C)) ) ) ) ) ) ) ) ).
fof(d5_fomodel2, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] : k5_fomodel2(A, B, C)=k1_funct_4(A, k17_funcop_1(B, k17_funcop_1(k1_xboole_0, C)))) ) ) ) ).
fof(d6_fomodel2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k6_fomodel2(A, B) <=>  (k9_xtuple_0(C)=k9_xtuple_0(A) &  (! [D] :  (r2_tarski(D, k9_xtuple_0(A)) => k1_funct_1(C, D)=k3_relat_1(k1_funct_1(A, D), B)) ) ) ) ) ) ) ) ) ) ).
fof(t1_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( (v14_fomodel1(B, k5_numbers, A) & m2_subset_1(B, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  => B=k43_fomodel1(A, k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k15_fomodel1(A), k22_fomodel1(A), B))) ) ) ) ).
fof(d8_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_fomodel2(D, A, B)) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k9_funct_2(k35_fomodel1(A), B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_funct_2(k35_fomodel1(A), B))))) )  =>  (E=k7_fomodel2(A, B, C, D) <=>  (r2_relset_1(k35_fomodel1(A), B, k10_funct_5(k4_ordinal1, k35_fomodel1(A), B, k9_funct_2(k35_fomodel1(A), B), E, k5_numbers), k8_funcop_1(B, k35_fomodel1(A), C)) &  (! [F] :  (m1_subset_1(F, k4_ordinal1) => k10_funct_5(k4_ordinal1, k35_fomodel1(A), B, k9_funct_2(k35_fomodel1(A), B), E, k1_nat_1(F, 1))=k1_fomodel0(k3_relat_1(k22_fomodel1(A), D), k6_fomodel2(k36_fomodel1(A), k10_funct_5(k4_ordinal1, k35_fomodel1(A), B, k9_funct_2(k35_fomodel1(A), B), E, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) )  =>  (! [D] :  (m2_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k35_fomodel1(A)) =>  (! [E] :  (m1_subset_1(E, B) =>  (E=k8_fomodel2(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, B) =>  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  (r2_tarski(D, k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))), k39_fomodel1(A), G)) => E=k3_funct_2(k35_fomodel1(A), B, k10_funct_5(k4_ordinal1, k35_fomodel1(A), B, k9_funct_2(k35_fomodel1(A), B), k7_fomodel2(A, B, F, C), k1_nat_1(G, 1)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k35_fomodel1(A), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k35_fomodel1(A), B)))) )  =>  (D=k9_fomodel2(A, B, C) <=>  (! [E] :  (m2_subset_1(E, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k35_fomodel1(A)) => k3_funct_2(k35_fomodel1(A), B, D, E)=k8_fomodel2(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) )  => k10_fomodel2(A, B, C)=k1_funct_4(C, k17_funcop_1(k18_fomodel1(A), k2_fomodel2(B)))) ) ) ) ) ) ).
fof(d12_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) )  =>  (! [D] :  (v2_fomodel2(D, A, B, C) <=> D=k10_fomodel2(A, B, C)) ) ) ) ) ) ) ) ).
fof(d13_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) )  =>  (! [D] :  ( (v15_fomodel1(D, A) & m2_subset_1(D, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  => k12_fomodel2(A, B, C, D)=k1_funct_1(k11_fomodel2(A, B, C, k10_fomodel2(A, B, C), k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k15_fomodel1(A), k22_fomodel1(A), D)), k3_relat_1(k34_fomodel1(A, D), k9_fomodel2(A, B, C)))) ) ) ) ) ) ) ) ).
fof(d15_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k15_fomodel2(A, B), k32_fomodel1(A)), k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k15_fomodel2(A, B), k32_fomodel1(A)), k5_margrel1)))) )  =>  (C=k16_fomodel2(A, B) <=>  (! [D] :  (m2_subset_1(D, k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k15_fomodel2(A, B)) =>  (! [E] :  (m2_subset_1(E, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k32_fomodel1(A)) => k2_binop_1(k15_fomodel2(A, B), k32_fomodel1(A), k5_margrel1, C, D, E)=k13_fomodel2(A, B, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_subset_1(C, k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k15_fomodel2(A, B)) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k3_finseq_2(k1_fomodel1(A)), k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), k5_margrel1))))  =>  (! [E] :  (m2_subset_1(E, k3_finseq_2(k1_fomodel1(A)), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))) =>  ( ( (? [F] :  (m1_subset_1(F, B) &  (? [G] :  ( (v4_fomodel1(G, A) & m1_subset_1(G, k1_fomodel1(A)))  &  (k1_funct_1(E, 1)=G & k1_binop_1(D, k5_fomodel2(C, G, F), k1_rfinseq(1, E))=k7_margrel1) ) ) ) )  => k17_fomodel2(A, B, C, D, E)=k7_margrel1)  &  ( (! [F] :  (m1_subset_1(F, B) =>  (! [G] :  ( (v4_fomodel1(G, A) & m1_subset_1(G, k1_fomodel1(A)))  =>  ~ ( (k1_funct_1(E, 1)=G & k1_binop_1(D, k5_fomodel2(C, G, F), k1_rfinseq(1, E))=k7_margrel1) ) ) ) ) )  => k17_fomodel2(A, B, C, D, E)=k6_margrel1) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_rfunct_3(C, k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k3_finseq_2(k1_fomodel1(A)), k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), k5_margrel1, k3_rfunct_3(k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k3_finseq_2(k1_fomodel1(A)), k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), k5_margrel1)) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k3_finseq_2(k1_fomodel1(A)), k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), k5_margrel1))))  =>  (D=k18_fomodel2(A, B, C) <=>  ( (! [E] :  (m2_subset_1(E, k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k15_fomodel2(A, B)) =>  (! [F] :  (m2_subset_1(F, k3_finseq_2(k1_fomodel1(A)), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))) =>  (r2_tarski(k1_domain_1(k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0)), E, F), k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k3_finseq_2(k1_fomodel1(A)), k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), D)) <=>  (? [G] :  ( (v4_fomodel1(G, A) & m1_subset_1(G, k1_fomodel1(A)))  &  (? [H] :  (m2_subset_1(H, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) &  (r2_tarski(k1_domain_1(k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), E, H), k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k3_finseq_2(k1_fomodel1(A)), k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), C)) & F=k42_fomodel1(A, k43_fomodel1(A, G), H)) ) ) ) ) ) ) ) ) )  &  (! [E] :  (m2_subset_1(E, k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k15_fomodel2(A, B)) =>  (! [F] :  (m2_subset_1(F, k3_finseq_2(k1_fomodel1(A)), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))) =>  (r2_tarski(k1_domain_1(k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0)), E, F), k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k3_finseq_2(k1_fomodel1(A)), k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), D)) => k1_binop_1(D, E, F)=k17_fomodel2(A, B, E, C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k3_finseq_2(k1_fomodel1(A)), k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), k5_margrel1))))  =>  (! [D] :  (m2_subset_1(D, k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k15_fomodel2(A, B)) =>  (! [E] :  (m2_subset_1(E, k3_finseq_2(k1_fomodel1(A)), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))) =>  ( ( (? [F] :  (m2_subset_1(F, k3_finseq_2(k1_fomodel1(A)), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))) &  (? [G] :  (m2_subset_1(G, k3_finseq_2(k1_fomodel1(A)), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))) &  (r2_tarski(k1_domain_1(k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0)), D, F), k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k3_finseq_2(k1_fomodel1(A)), k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), C)) &  (k1_binop_1(C, D, F)=k6_margrel1 &  (k1_binop_1(C, D, G)=k6_margrel1 & E=k42_fomodel1(A, k42_fomodel1(A, k43_fomodel1(A, k1_fomodel2(A)), F), G)) ) ) ) ) ) )  => k19_fomodel2(A, B, C, D, E)=k7_margrel1)  &  ( (! [F] :  (m2_subset_1(F, k3_finseq_2(k1_fomodel1(A)), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))) =>  (! [G] :  (m2_subset_1(G, k3_finseq_2(k1_fomodel1(A)), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))) =>  ~ ( (r2_tarski(k1_domain_1(k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0)), D, F), k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k3_finseq_2(k1_fomodel1(A)), k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), C)) &  (k1_binop_1(C, D, F)=k6_margrel1 &  (k1_binop_1(C, D, G)=k6_margrel1 & E=k42_fomodel1(A, k42_fomodel1(A, k43_fomodel1(A, k1_fomodel2(A)), F), G)) ) ) ) ) ) ) )  => k19_fomodel2(A, B, C, D, E)=k6_margrel1) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_rfunct_3(C, k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k3_finseq_2(k1_fomodel1(A)), k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), k5_margrel1, k3_rfunct_3(k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k3_finseq_2(k1_fomodel1(A)), k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), k5_margrel1)) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k3_finseq_2(k1_fomodel1(A)), k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), k5_margrel1))))  =>  (D=k20_fomodel2(A, B, C) <=>  ( (! [E] :  (m2_subset_1(E, k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k15_fomodel2(A, B)) =>  (! [F] :  (m2_subset_1(F, k3_finseq_2(k1_fomodel1(A)), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))) =>  (r2_tarski(k1_domain_1(k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0)), E, F), k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k3_finseq_2(k1_fomodel1(A)), k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), D)) <=>  (? [G] :  (m2_subset_1(G, k3_finseq_2(k1_fomodel1(A)), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))) &  (? [H] :  (m2_subset_1(H, k3_finseq_2(k1_fomodel1(A)), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))) &  (F=k42_fomodel1(A, k42_fomodel1(A, k43_fomodel1(A, k1_fomodel2(A)), G), H) &  (r2_tarski(k1_domain_1(k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0)), E, G), k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k3_finseq_2(k1_fomodel1(A)), k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), C)) & r2_tarski(k1_domain_1(k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0)), E, H), k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k3_finseq_2(k1_fomodel1(A)), k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), C))) ) ) ) ) ) ) ) ) ) )  &  (! [E] :  (m2_subset_1(E, k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k15_fomodel2(A, B)) =>  (! [F] :  (m2_subset_1(F, k3_finseq_2(k1_fomodel1(A)), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))) =>  (r2_tarski(k1_domain_1(k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0)), E, F), k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k3_finseq_2(k1_fomodel1(A)), k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), D)) => k1_binop_1(D, E, F)=k19_fomodel2(A, B, C, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d20_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k3_rfunct_3(k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k3_finseq_2(k1_fomodel1(A)), k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), k5_margrel1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k3_rfunct_3(k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k3_finseq_2(k1_fomodel1(A)), k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), k5_margrel1))))) )  =>  (C=k21_fomodel2(A, B) <=>  (k8_nat_1(k3_rfunct_3(k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k3_finseq_2(k1_fomodel1(A)), k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), k5_margrel1), C, k5_numbers)=k16_fomodel2(A, B) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) => k8_nat_1(k3_rfunct_3(k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k3_finseq_2(k1_fomodel1(A)), k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), k5_margrel1), C, k1_nat_1(D, 1))=k1_funct_4(k9_funct_4(k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k3_finseq_2(k1_fomodel1(A)), k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), k5_margrel1, k18_fomodel2(A, B, k8_nat_1(k3_rfunct_3(k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k3_finseq_2(k1_fomodel1(A)), k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), k5_margrel1), C, D)), k20_fomodel2(A, B, k8_nat_1(k3_rfunct_3(k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k3_finseq_2(k1_fomodel1(A)), k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), k5_margrel1), C, D))), k8_nat_1(k3_rfunct_3(k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k3_finseq_2(k1_fomodel1(A)), k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), k5_margrel1), C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t2_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) )  => r2_tarski(k5_relat_1(C, k37_fomodel1(A)), k15_fomodel2(A, B))) ) ) ) ) ) ).
fof(d21_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m2_rfunct_3(D, k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(C), k2_xboole_0(C, k5_margrel1))), k3_finseq_2(k1_fomodel1(A)), k15_fomodel2(A, C), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), k5_margrel1, k3_rfunct_3(k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(C), k2_xboole_0(C, k5_margrel1))), k3_finseq_2(k1_fomodel1(A)), k15_fomodel2(A, C), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), k5_margrel1)) =>  (D=k22_fomodel2(A, B, C) <=>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (B=E => D=k8_nat_1(k3_rfunct_3(k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(C), k2_xboole_0(C, k5_margrel1))), k3_finseq_2(k1_fomodel1(A)), k15_fomodel2(A, C), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), k5_margrel1), k21_fomodel2(A, C), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d22_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_subset_1(D, k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k15_fomodel2(A, B)) => k23_fomodel2(A, B, C, D)=k1_funct_1(k1_funct_5(k22_fomodel2(A, C, B)), D)) ) ) ) ) ) ) ) ).
fof(d23_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0)))) =>  (C=k24_fomodel2(A, B) <=>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m2_subset_1(E, k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(D), k2_xboole_0(D, k5_margrel1))), k15_fomodel2(A, D)) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (B=F => C=k1_relset_1(k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0)), k23_fomodel2(A, D, F, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d24_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_subset_1(C, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) =>  (v3_fomodel2(C, A, B) <=> r2_tarski(C, k24_fomodel2(A, B))) ) ) ) ) ) ) ).
fof(d25_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m2_subset_1(B, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) =>  (v4_fomodel2(B, A) <=>  (? [C] :  (v7_ordinal1(C) & v3_fomodel2(B, A, C)) ) ) ) ) ) ) ).
fof(d26_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_subset_1(C, k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k15_fomodel2(A, B)) =>  (! [D] :  ( (v4_fomodel2(D, A) & m2_subset_1(D, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (E=k25_fomodel2(A, B, C, D) <=>  (! [F] :  (v7_ordinal1(F) =>  (v3_fomodel2(D, A, F) => E=k1_funct_1(k23_fomodel2(A, B, F, C), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_fomodel2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, C) =>  (! [E] :  ( (v13_fomodel1(E, B) & m2_subset_1(E, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_fomodel2(F, B, C)) )  =>  (k1_funct_1(k10_funct_5(k4_ordinal1, k35_fomodel1(B), C, k9_funct_2(k35_fomodel1(B), C), k7_fomodel2(B, C, D, F), k1_nat_1(A, 1)), E)=k1_funct_1(k4_fomodel2(B, C, F, k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)), k15_fomodel1(B), k22_fomodel1(B), E)), k3_relat_1(k33_fomodel1(B, E), k8_nat_1(k9_funct_2(k35_fomodel1(B), C), k7_fomodel2(B, C, D, F), A))) &  (v14_fomodel1(E, k5_numbers, B) => k1_funct_1(k10_funct_5(k4_ordinal1, k35_fomodel1(B), C, k9_funct_2(k35_fomodel1(B), C), k7_fomodel2(B, C, D, F), k1_nat_1(A, 1)), E)=k1_funct_1(k4_fomodel2(B, C, F, k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)), k15_fomodel1(B), k22_fomodel1(B), E)), k1_xboole_0)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_fomodel2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v6_struct_0(C))  &  (v11_fomodel1(C) & l1_fomodel1(C)) )  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_subset_1(E, D) =>  (! [F] :  (m1_subset_1(F, D) =>  (! [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) & v1_fomodel2(G, C, D)) )  =>  (! [H] :  ( (v14_fomodel1(H, A, C) & m2_subset_1(H, k3_finseq_2(k15_fomodel1(C)), k6_subset_1(k3_finseq_2(k15_fomodel1(C)), k1_tarski(k1_xboole_0))))  => k1_funct_1(k10_funct_5(k4_ordinal1, k35_fomodel1(C), D, k9_funct_2(k35_fomodel1(C), D), k7_fomodel2(C, D, E, G), k1_nat_1(A, 1)), H)=k1_funct_1(k8_nat_1(k9_funct_2(k35_fomodel1(C), D), k7_fomodel2(C, D, F, G), k2_xcmplx_0(k1_nat_1(A, 1), B)), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_fomodel2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (v1_funct_1(k1_funct_5(k22_fomodel2(B, A, C))) &  (v1_funct_2(k1_funct_5(k22_fomodel2(B, A, C)), k15_fomodel2(B, C), k3_rfunct_3(k6_subset_1(k3_finseq_2(k1_fomodel1(B)), k1_tarski(k1_xboole_0)), k5_margrel1)) & m1_subset_1(k1_funct_5(k22_fomodel2(B, A, C)), k1_zfmisc_1(k2_zfmisc_1(k15_fomodel2(B, C), k3_rfunct_3(k6_subset_1(k3_finseq_2(k1_fomodel1(B)), k1_tarski(k1_xboole_0)), k5_margrel1))))) ) ) ) ) ) ) ) ).
fof(t6_fomodel2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (r2_tarski(D, k2_xboole_0(k2_xboole_0(A, B), C)) <=>  ~ ( ( ~ (r2_tarski(D, A))  &  ( ~ (r2_tarski(D, B))  &  ~ (r2_tarski(D, C)) ) ) ) ) ) ) ) ) ).
fof(t7_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k24_fomodel2(A, k5_numbers)=k32_fomodel1(A)) ) ).
fof(d28_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0)))) =>  (C=k24_fomodel2(A, B) <=>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m2_subset_1(E, k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(D), k2_xboole_0(D, k5_margrel1))), k15_fomodel2(A, D)) => C=k1_relset_1(k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0)), k23_fomodel2(A, D, B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_fomodel2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (r2_tarski(k22_fomodel2(B, A, C), k9_funct_2(k8_mcart_1(k9_funct_2(k37_fomodel1(B), k3_rfunct_3(k3_finseq_2(C), k2_xboole_0(C, k5_margrel1))), k6_subset_1(k3_finseq_2(k1_fomodel1(B)), k1_tarski(k1_xboole_0)), k15_fomodel2(B, C), k24_fomodel2(B, A)), k5_margrel1)) & r2_tarski(k8_nat_1(k3_rfunct_3(k8_mcart_1(k9_funct_2(k37_fomodel1(B), k3_rfunct_3(k3_finseq_2(C), k2_xboole_0(C, k5_margrel1))), k3_finseq_2(k1_fomodel1(B)), k15_fomodel2(B, C), k6_subset_1(k3_finseq_2(k1_fomodel1(B)), k1_tarski(k1_xboole_0))), k5_margrel1), k21_fomodel2(B, C), A), k9_funct_2(k8_mcart_1(k9_funct_2(k37_fomodel1(B), k3_rfunct_3(k3_finseq_2(C), k2_xboole_0(C, k5_margrel1))), k6_subset_1(k3_finseq_2(k1_fomodel1(B)), k1_tarski(k1_xboole_0)), k15_fomodel2(B, C), k24_fomodel2(B, A)), k5_margrel1))) ) ) ) ) ) ) ).
fof(t9_fomodel2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  => k24_fomodel2(B, k1_nat_1(A, 1))=k2_xboole_0(k2_xboole_0(k27_fomodel2(B, A), k28_fomodel2(B, A)), k24_fomodel2(B, A))) ) ) ) ).
fof(t10_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v12_fomodel1(k32_fomodel1(A), A)) ) ).
fof(d31_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( (v4_fomodel2(B, A) & m2_subset_1(B, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  =>  (! [C] :  (v7_ordinal1(C) =>  (C=k29_fomodel2(A, B) <=>  (v3_fomodel2(B, A, C) &  (! [D] :  (v7_ordinal1(D) =>  (v3_fomodel2(B, A, D) => r1_xxreal_0(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d32_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m2_subset_1(B, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) =>  (v5_fomodel2(B, A) <=> v4_fomodel1(k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k15_fomodel1(A), k22_fomodel1(A), B), A)) ) ) ) ) ).
fof(t11_fomodel2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  ( ~ (v1_xboole_0(C))  => k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(B), k3_rfunct_3(k3_finseq_2(C), k2_xboole_0(C, k5_margrel1))), k3_finseq_2(k1_fomodel1(B)), k15_fomodel2(B, C), k6_subset_1(k3_finseq_2(k1_fomodel1(B)), k1_tarski(k1_xboole_0))), k20_fomodel2(B, C, k22_fomodel2(B, A, C)))=k2_zfmisc_1(k15_fomodel2(B, C), k28_fomodel2(B, A))) ) ) ) ) ) ).
fof(t12_fomodel2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  ( ~ (v1_xboole_0(C))  => k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(B), k3_rfunct_3(k3_finseq_2(C), k2_xboole_0(C, k5_margrel1))), k3_finseq_2(k1_fomodel1(B)), k15_fomodel2(B, C), k6_subset_1(k3_finseq_2(k1_fomodel1(B)), k1_tarski(k1_xboole_0))), k18_fomodel2(B, C, k22_fomodel2(B, A, C)))=k2_zfmisc_1(k15_fomodel2(B, C), k27_fomodel2(B, A))) ) ) ) ) ) ).
fof(t14_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v15_fomodel1(C, A) & m2_subset_1(C, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_fomodel2(D, A, B)) )  =>  ( ( ~ (k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k15_fomodel1(A), k22_fomodel1(A), C)=k31_fomodel2(A))  => k13_fomodel2(A, B, D, C)=k1_funct_1(k1_funct_1(D, k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k15_fomodel1(A), k22_fomodel1(A), C)), k3_relat_1(k34_fomodel1(A, C), k9_fomodel2(A, B, D))))  &  (k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k15_fomodel1(A), k22_fomodel1(A), C)=k31_fomodel2(A) => k13_fomodel2(A, B, D, C)=k1_funct_1(k2_fomodel2(B), k3_relat_1(k34_fomodel1(A, C), k9_fomodel2(A, B, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t15_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) )  =>  (! [D] :  ( (v15_fomodel1(D, A) & m2_subset_1(D, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  =>  (k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k15_fomodel1(A), k22_fomodel1(A), D)=k31_fomodel2(A) =>  (k13_fomodel2(A, B, C, D)=1 <=> k1_funct_1(k9_fomodel2(A, B, C), k1_funct_1(k34_fomodel1(A, D), 1))=k1_funct_1(k9_fomodel2(A, B, C), k1_funct_1(k34_fomodel1(A, D), 2))) ) ) ) ) ) ) ) ) ) ).
fof(t16_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( (v4_fomodel2(B, A) & m2_subset_1(B, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  => r2_tarski(B, k30_fomodel2(A))) ) ) ) ).
fof(d33_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m2_subset_1(B, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) => k35_fomodel2(A, B)=k42_fomodel1(A, k42_fomodel1(A, k43_fomodel1(A, k1_fomodel2(A)), B), B)) ) ) ) ).
fof(d34_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (v6_fomodel2(B, A) <=>  (! [C] :  ( (v4_fomodel2(C, A) & m2_subset_1(C, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  =>  (r2_tarski(C, B) <=>  ~ (r2_tarski(k35_fomodel2(A, C), B)) ) ) ) ) ) ) ) ).
fof(t17_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  =>  (! [C] :  ( (v4_fomodel2(C, A) & m2_subset_1(C, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  =>  (! [D] :  ( (v4_fomodel2(D, A) & m2_subset_1(D, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  =>  (k29_fomodel2(A, k42_fomodel1(A, k42_fomodel1(A, k43_fomodel1(A, k1_fomodel2(A)), C), D))=k2_xcmplx_0(1, k4_xxreal_0(k29_fomodel2(A, C), k29_fomodel2(A, D))) & k29_fomodel2(A, k42_fomodel1(A, k43_fomodel1(A, B), C))=k1_nat_1(k29_fomodel2(A, C), 1)) ) ) ) ) ) ) ) ) ).
fof(t18_fomodel2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  ( (v4_fomodel2(C, B) & m2_subset_1(C, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  =>  (k29_fomodel2(B, C)=k1_nat_1(A, 1) =>  ( (v5_fomodel2(C, B) => r2_tarski(C, k33_fomodel2(B, A)))  &  ( (r2_tarski(C, k33_fomodel2(B, A)) => v5_fomodel2(C, B))  &  ( ( ~ (v5_fomodel2(C, B))  => r2_tarski(C, k32_fomodel2(B, A)))  &  ~ ( (r2_tarski(C, k32_fomodel2(B, A)) & v5_fomodel2(C, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v4_fomodel1(C, A) & m1_subset_1(C, k1_fomodel1(A)))  =>  (! [D] :  ( (v4_fomodel2(D, A) & m2_subset_1(D, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  =>  (! [E] :  ( (v4_fomodel2(E, A) & m2_subset_1(E, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  =>  (! [F] :  ( (v4_fomodel2(F, A) & m2_subset_1(F, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  =>  (! [G] :  (m2_subset_1(G, k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k15_fomodel2(A, B)) =>  ( ~ ( (k25_fomodel2(A, B, G, k42_fomodel1(A, k43_fomodel1(A, C), D))=k7_margrel1 &  (! [H] :  (m1_subset_1(H, B) =>  ~ (k25_fomodel2(A, B, k34_fomodel2(A, B, G, C, H), D)=1) ) ) ) )  &  ( ( (? [H] :  (m1_subset_1(H, B) & k25_fomodel2(A, B, k34_fomodel2(A, B, G, C, H), D)=1) )  => k25_fomodel2(A, B, G, k42_fomodel1(A, k43_fomodel1(A, C), D))=k7_margrel1)  &  ( (k25_fomodel2(A, B, G, k42_fomodel1(A, k42_fomodel1(A, k43_fomodel1(A, k1_fomodel2(A)), E), F))=k7_margrel1 =>  (k25_fomodel2(A, B, G, E)=k6_margrel1 & k25_fomodel2(A, B, G, F)=k6_margrel1) )  &  ( (k25_fomodel2(A, B, G, E)=k6_margrel1 & k25_fomodel2(A, B, G, F)=k6_margrel1)  => k25_fomodel2(A, B, G, k42_fomodel1(A, k42_fomodel1(A, k43_fomodel1(A, k1_fomodel2(A)), E), F))=k7_margrel1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_fomodel2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, C) =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_fomodel2(E, B, C)) )  => r2_relset_1(k35_fomodel1(B), C, k5_relset_1(k35_fomodel1(B), C, k10_funct_5(k4_ordinal1, k35_fomodel1(B), C, k9_funct_2(k35_fomodel1(B), C), k7_fomodel2(B, C, D, E), k1_nat_1(A, 1)), k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))), k39_fomodel1(B), A)), k5_relset_1(k35_fomodel1(B), C, k9_fomodel2(B, C, E), k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))), k39_fomodel1(B), A)))) ) ) ) ) ) ) ) ) ) ).
fof(t21_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v13_fomodel1(C, A) & m2_subset_1(C, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_fomodel2(D, A, B)) )  => k1_funct_1(k9_fomodel2(A, B, D), C)=k1_funct_1(k4_fomodel2(A, B, D, k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k15_fomodel1(A), k22_fomodel1(A), C)), k3_relat_1(k33_fomodel1(A, C), k9_fomodel2(A, B, D)))) ) ) ) ) ) ) ) ).
fof(d35_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( (v4_fomodel2(B, A) & m2_subset_1(B, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  =>  (! [C] :  ( ( ~ (v15_fomodel1(B, A))  =>  (C=k36_fomodel2(A, B) <=>  (? [D] :  ( (v4_fomodel2(D, A) & m2_subset_1(D, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (? [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  &  (v5_relat_1(E, k1_fomodel1(A)) &  (C=k4_tarski(D, E) & B=k7_finseq_1(k42_fomodel1(A, k43_fomodel1(A, k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k15_fomodel1(A), k22_fomodel1(A), B)), D), E)) ) ) ) ) ) ) )  &  (v15_fomodel1(B, A) =>  (C=k36_fomodel2(A, B) <=> C=k4_tarski(B, k1_xboole_0)) ) ) ) ) ) ) ) ).
fof(d36_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( (v4_fomodel2(B, A) & m2_subset_1(B, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  => k37_fomodel2(A, B)=k1_xfamily(k36_fomodel2(A, B))) ) ) ) ).
fof(d37_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( (v4_fomodel2(B, A) & m2_subset_1(B, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  => k38_fomodel2(A, B)=k2_xfamily(k36_fomodel2(A, B))) ) ) ) ).
fof(t22_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  =>  (! [C] :  ( (v4_fomodel2(C, A) & m2_subset_1(C, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  =>  (! [D] :  ( (v4_fomodel2(D, A) & m2_subset_1(D, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  =>  ( ~ (r1_xxreal_0(k29_fomodel2(A, k42_fomodel1(A, k43_fomodel1(A, B), C)), k29_fomodel2(A, C)))  &  ( ~ (r1_xxreal_0(k29_fomodel2(A, k42_fomodel1(A, k42_fomodel1(A, k43_fomodel1(A, k1_fomodel2(A)), C), D)), k29_fomodel2(A, C)))  &  ~ (r1_xxreal_0(k29_fomodel2(A, k42_fomodel1(A, k42_fomodel1(A, k43_fomodel1(A, k1_fomodel2(A)), C), D)), k29_fomodel2(A, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_fomodel2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v4_fomodel2(D, B) & m2_subset_1(D, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  =>  (! [E] :  ( (v4_fomodel2(E, B) & m2_subset_1(E, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  =>  ( ~ (v15_fomodel1(D, B))  =>  (D=k7_finseq_1(k7_finseq_1(k9_finseq_1(A), E), C) <=>  (A=k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)), k15_fomodel1(B), k22_fomodel1(B), D) &  (E=k37_fomodel2(B, D) & C=k38_fomodel2(B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_fomodel2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m2_subset_1(D, k9_funct_2(k37_fomodel1(B), k3_rfunct_3(k3_finseq_2(C), k2_xboole_0(C, k5_margrel1))), k15_fomodel2(B, C)) => r2_tarski(k23_fomodel2(B, C, A, D), k9_funct_2(k24_fomodel2(B, A), k5_margrel1))) ) ) ) ) ) ) ) ).
fof(t25_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v4_fomodel1(E, A) & m1_subset_1(E, k1_fomodel1(A)))  =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_fomodel2(F, A, B)) )  =>  ( ~ (r2_tarski(E, k10_xtuple_0(C)))  => k1_funct_1(k9_fomodel2(A, B, k5_fomodel2(F, E, D)), C)=k1_funct_1(k9_fomodel2(A, B, F), C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d38_fomodel2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_fomodel1(B)) =>  (v7_fomodel2(C, A, B) <=> r2_tarski(C, k21_fomodel0(k8_subset_1(k3_finseq_2(k1_fomodel1(B)), k6_subset_1(k3_finseq_2(k1_fomodel1(B)), k1_tarski(k1_xboole_0)), A)))) ) ) ) ) ) ).
fof(d39_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  (! [C] :  (v8_fomodel2(C, A, B) <=> r2_tarski(B, k21_fomodel0(k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k3_xboole_0(k1_tarski(k1_xboole_0), C))))) ) ) ) ) ) ).
fof(t26_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v4_fomodel1(C, A) & m1_subset_1(C, k1_fomodel1(A)))  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_fomodel2(D, A, B)) )  =>  (? [E] :  (m1_subset_1(E, B) &  (E=k1_funct_1(k4_fomodel2(A, B, D, C), k1_xboole_0) & k5_fomodel2(D, C, E)=D) ) ) ) ) ) ) ) ) ) ) ).
fof(d40_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (v9_fomodel2(B, A) <=>  (! [C] :  ( (v4_fomodel2(C, A) & m2_subset_1(C, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  =>  (r2_tarski(C, B) | r2_tarski(k35_fomodel2(A, C), B)) ) ) ) ) ) ) ).
fof(d42_fomodel2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  (m2_subset_1(C, k9_funct_2(k37_fomodel1(B), k3_rfunct_3(k3_finseq_2(A), k2_xboole_0(A, k5_margrel1))), k15_fomodel2(B, A)) =>  (! [D] :  (v10_fomodel2(D, A, B, C) <=>  (! [E] :  ( (v4_fomodel2(E, B) & m2_subset_1(E, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  =>  (r2_tarski(E, D) => k25_fomodel2(B, A, C, E)=1) ) ) ) ) ) ) ) ) ) ) ).
fof(d43_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (! [D] :  (m2_subset_1(D, k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k15_fomodel2(A, B)) =>  (v11_fomodel2(D, A, B, C) <=> v10_fomodel2(C, B, A, D)) ) ) ) ) ) ) ) ).
fof(d44_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (v12_fomodel2(B, A) <=>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m2_subset_1(D, k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(C), k2_xboole_0(C, k5_margrel1))), k15_fomodel2(A, C)) =>  (! [E] :  (v10_fomodel2(E, C, A, D) =>  (! [F] :  ( (v4_fomodel2(F, A) & m2_subset_1(F, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  =>  (r2_hidden(k4_tarski(E, F), B) => k25_fomodel2(A, C, D, F)=1) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v4_fomodel2(C, A) & m2_subset_1(C, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  =>  (! [D] :  (m2_subset_1(D, k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k15_fomodel2(A, B)) =>  (k25_fomodel2(A, B, D, C)=1 <=> v10_fomodel2(k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), C), B, A, D)) ) ) ) ) ) ) ) ) ).
fof(t28_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  (! [C] :  (m2_subset_1(C, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) =>  (v7_fomodel2(B, k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), C), A) <=> r2_tarski(B, k10_xtuple_0(C))) ) ) ) ) ) ) ).
fof(d45_fomodel2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  ( (v4_fomodel2(C, B) & m2_subset_1(C, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  =>  (v13_fomodel2(C, A, B) <=>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m2_subset_1(E, k9_funct_2(k37_fomodel1(B), k3_rfunct_3(k3_finseq_2(D), k2_xboole_0(D, k5_margrel1))), k15_fomodel2(B, D)) =>  (v10_fomodel2(A, D, B, E) => k25_fomodel2(B, D, E, C)=1) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m1_subset_1(k1_fomodel2(A), k1_fomodel1(A))) ) ).
fof(redefinition_k1_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k1_fomodel2(A)=k8_fomodel1(A)) ) ).
fof(dt_k2_fomodel2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k2_fomodel2(A)) &  (v1_funct_2(k2_fomodel2(A), k4_finseq_2(2, A), k5_margrel1) & m1_subset_1(k2_fomodel2(A), k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, A), k5_margrel1)))) ) ) ) ).
fof(dt_k3_fomodel2, axiom,  (! [A] :  (v1_partfun1(k3_fomodel2(A), A) &  (v3_relat_2(k3_fomodel2(A)) &  (v8_relat_2(k3_fomodel2(A)) & m1_subset_1(k3_fomodel2(A), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ).
fof(redefinition_k3_fomodel2, axiom,  (! [A] : k3_fomodel2(A)=k4_relat_1(A)) ).
fof(existence_m1_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v10_fomodel1(C, A) & m1_subset_1(C, k1_fomodel1(A))) ) )  =>  (? [D] : m1_fomodel2(D, A, B, C)) ) ) ).
fof(dt_m2_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v10_fomodel1(C, A) & m1_subset_1(C, k1_fomodel1(A))) ) )  =>  (! [D] :  (m2_fomodel2(D, A, B, C) =>  (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(k1_int_2(k19_fomodel1(A, C)), B), k2_xboole_0(B, k5_margrel1)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(k1_int_2(k19_fomodel1(A, C)), B), k2_xboole_0(B, k5_margrel1))))) ) ) ) ) ) ).
fof(existence_m2_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v10_fomodel1(C, A) & m1_subset_1(C, k1_fomodel1(A))) ) )  =>  (? [D] : m2_fomodel2(D, A, B, C)) ) ) ).
fof(redefinition_m2_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v10_fomodel1(C, A) & m1_subset_1(C, k1_fomodel1(A))) ) )  =>  (! [D] :  (m2_fomodel2(D, A, B, C) <=> m1_fomodel2(D, A, B, C)) ) ) ) ).
fof(dt_m3_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ~ (v1_xboole_0(B)) )  =>  (! [C] :  (m3_fomodel2(C, A, B) =>  (v1_relat_1(C) & v1_funct_1(C)) ) ) ) ) ).
fof(existence_m3_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ~ (v1_xboole_0(B)) )  =>  (? [C] : m3_fomodel2(C, A, B)) ) ) ).
fof(dt_k4_fomodel2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) )  &  (v9_fomodel1(D, A) & m1_subset_1(D, k1_fomodel1(A))) ) ) )  => m2_fomodel2(k4_fomodel2(A, B, C, D), A, B, D)) ) ).
fof(redefinition_k4_fomodel2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) )  &  (v9_fomodel1(D, A) & m1_subset_1(D, k1_fomodel1(A))) ) ) )  => k4_fomodel2(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(dt_k5_fomodel2, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k5_fomodel2(A, B, C)) & v1_funct_1(k5_fomodel2(A, B, C))) ) ) ).
fof(dt_k6_fomodel2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k6_fomodel2(A, B)) & v1_funct_1(k6_fomodel2(A, B))) ) ) ).
fof(dt_k7_fomodel2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, B) &  (v1_relat_1(D) &  (v1_funct_1(D) & v1_fomodel2(D, A, B)) ) ) ) )  =>  (v1_funct_1(k7_fomodel2(A, B, C, D)) &  (v1_funct_2(k7_fomodel2(A, B, C, D), k4_ordinal1, k9_funct_2(k35_fomodel1(A), B)) & m1_subset_1(k7_fomodel2(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_funct_2(k35_fomodel1(A), B))))) ) ) ) ).
fof(dt_k8_fomodel2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) )  & m1_subset_1(D, k35_fomodel1(A))) ) )  => m1_subset_1(k8_fomodel2(A, B, C, D), B)) ) ).
fof(dt_k9_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) ) ) )  =>  (v1_funct_1(k9_fomodel2(A, B, C)) &  (v1_funct_2(k9_fomodel2(A, B, C), k35_fomodel1(A), B) & m1_subset_1(k9_fomodel2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k35_fomodel1(A), B)))) ) ) ) ).
fof(dt_k10_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) ) ) )  =>  (v1_relat_1(k10_fomodel2(A, B, C)) & v1_funct_1(k10_fomodel2(A, B, C))) ) ) ).
fof(dt_k11_fomodel2, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) )  &  ( (v1_relat_1(D) &  (v1_funct_1(D) & v2_fomodel2(D, A, B, C)) )  &  (v10_fomodel1(E, A) & m1_subset_1(E, k1_fomodel1(A))) ) ) ) )  => m2_fomodel2(k11_fomodel2(A, B, C, D, E), A, B, E)) ) ).
fof(redefinition_k11_fomodel2, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) )  &  ( (v1_relat_1(D) &  (v1_funct_1(D) & v2_fomodel2(D, A, B, C)) )  &  (v10_fomodel1(E, A) & m1_subset_1(E, k1_fomodel1(A))) ) ) ) )  => k11_fomodel2(A, B, C, D, E)=k1_funct_1(D, E)) ) ).
fof(dt_k13_fomodel2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) )  &  (v15_fomodel1(D, A) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => m1_subset_1(k13_fomodel2(A, B, C, D), k5_margrel1)) ) ).
fof(redefinition_k13_fomodel2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) )  &  (v15_fomodel1(D, A) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => k13_fomodel2(A, B, C, D)=k12_fomodel2(A, B, C, D)) ) ).
fof(dt_k15_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ~ (v1_xboole_0(B)) )  => m1_subset_1(k15_fomodel2(A, B), k1_zfmisc_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1)))))) ) ).
fof(redefinition_k15_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ~ (v1_xboole_0(B)) )  => k15_fomodel2(A, B)=k14_fomodel2(A, B)) ) ).
fof(dt_k16_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ~ (v1_xboole_0(B)) )  =>  (v1_funct_1(k16_fomodel2(A, B)) &  (v1_funct_2(k16_fomodel2(A, B), k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k15_fomodel2(A, B), k32_fomodel1(A)), k5_margrel1) & m1_subset_1(k16_fomodel2(A, B), k1_zfmisc_1(k2_zfmisc_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k15_fomodel2(A, B), k32_fomodel1(A)), k5_margrel1)))) ) ) ) ).
fof(dt_k17_fomodel2, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k15_fomodel2(A, B)) &  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k3_finseq_2(k1_fomodel1(A)), k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), k5_margrel1))))  & m1_subset_1(E, k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => m1_subset_1(k17_fomodel2(A, B, C, D, E), k5_margrel1)) ) ).
fof(dt_k18_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(C, k3_rfunct_3(k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k3_finseq_2(k1_fomodel1(A)), k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), k5_margrel1))) )  =>  (v1_funct_1(k18_fomodel2(A, B, C)) & m1_subset_1(k18_fomodel2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k3_finseq_2(k1_fomodel1(A)), k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), k5_margrel1)))) ) ) ).
fof(dt_k19_fomodel2, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k3_finseq_2(k1_fomodel1(A)), k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), k5_margrel1))))  &  (m1_subset_1(D, k15_fomodel2(A, B)) & m1_subset_1(E, k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => m1_subset_1(k19_fomodel2(A, B, C, D, E), k5_margrel1)) ) ).
fof(dt_k20_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(C, k3_rfunct_3(k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k3_finseq_2(k1_fomodel1(A)), k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), k5_margrel1))) )  =>  (v1_funct_1(k20_fomodel2(A, B, C)) & m1_subset_1(k20_fomodel2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k3_finseq_2(k1_fomodel1(A)), k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), k5_margrel1)))) ) ) ).
fof(dt_k21_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ~ (v1_xboole_0(B)) )  =>  (v1_funct_1(k21_fomodel2(A, B)) &  (v1_funct_2(k21_fomodel2(A, B), k4_ordinal1, k3_rfunct_3(k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k3_finseq_2(k1_fomodel1(A)), k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), k5_margrel1)) & m1_subset_1(k21_fomodel2(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k3_rfunct_3(k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k3_finseq_2(k1_fomodel1(A)), k15_fomodel2(A, B), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), k5_margrel1))))) ) ) ) ).
fof(dt_k22_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v7_ordinal1(B) &  ~ (v1_xboole_0(C)) ) )  => m2_rfunct_3(k22_fomodel2(A, B, C), k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(C), k2_xboole_0(C, k5_margrel1))), k3_finseq_2(k1_fomodel1(A)), k15_fomodel2(A, C), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), k5_margrel1, k3_rfunct_3(k8_mcart_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(C), k2_xboole_0(C, k5_margrel1))), k3_finseq_2(k1_fomodel1(A)), k15_fomodel2(A, C), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), k5_margrel1))) ) ).
fof(dt_k23_fomodel2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v7_ordinal1(C) & m1_subset_1(D, k15_fomodel2(A, B))) ) )  => m2_rfunct_3(k23_fomodel2(A, B, C, D), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0)), k5_margrel1, k3_rfunct_3(k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0)), k5_margrel1))) ) ).
fof(dt_k24_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & v7_ordinal1(B))  => m1_subset_1(k24_fomodel2(A, B), k1_zfmisc_1(k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))))) ) ).
fof(dt_k25_fomodel2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k15_fomodel2(A, B)) &  (v4_fomodel2(D, A) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => m1_subset_1(k25_fomodel2(A, B, C, D), k5_margrel1)) ) ).
fof(dt_k29_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  => v7_ordinal1(k29_fomodel2(A, B))) ) ).
fof(dt_k30_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m1_subset_1(k30_fomodel2(A), k1_zfmisc_1(k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))))) ) ).
fof(redefinition_k30_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k30_fomodel2(A)=k26_fomodel2(A)) ) ).
fof(dt_k31_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m1_subset_1(k31_fomodel2(A), k1_fomodel1(A))) ) ).
fof(redefinition_k31_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k31_fomodel2(A)=k7_fomodel1(A)) ) ).
fof(dt_k32_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & v7_ordinal1(B))  => m1_subset_1(k32_fomodel2(A, B), k1_zfmisc_1(k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))))) ) ).
fof(redefinition_k32_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & v7_ordinal1(B))  => k32_fomodel2(A, B)=k28_fomodel2(A, B)) ) ).
fof(dt_k33_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & v7_ordinal1(B))  => m1_subset_1(k33_fomodel2(A, B), k1_zfmisc_1(k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))))) ) ).
fof(redefinition_k33_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & v7_ordinal1(B))  => k33_fomodel2(A, B)=k27_fomodel2(A, B)) ) ).
fof(dt_k34_fomodel2, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k15_fomodel2(A, B)) &  ( (v4_fomodel1(D, A) & m1_subset_1(D, k1_fomodel1(A)))  & m1_subset_1(E, B)) ) ) )  => m2_subset_1(k34_fomodel2(A, B, C, D, E), k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k15_fomodel2(A, B))) ) ).
fof(redefinition_k34_fomodel2, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k15_fomodel2(A, B)) &  ( (v4_fomodel1(D, A) & m1_subset_1(D, k1_fomodel1(A)))  & m1_subset_1(E, B)) ) ) )  => k34_fomodel2(A, B, C, D, E)=k5_fomodel2(C, D, E)) ) ).
fof(dt_k35_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  => m2_subset_1(k35_fomodel2(A, B), k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ).
fof(dt_k37_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  =>  (v4_fomodel2(k37_fomodel2(A, B), A) & m2_subset_1(k37_fomodel2(A, B), k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) ).
fof(dt_k38_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  => m2_finseq_2(k38_fomodel2(A, B), k1_fomodel1(A), k3_finseq_2(k1_fomodel1(A)))) ) ).
fof(dt_k39_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v15_fomodel1(B, A))  &  (v4_fomodel2(B, A) &  ( ~ (v5_fomodel2(B, A))  & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  =>  (v4_fomodel2(k39_fomodel2(A, B), A) & m2_subset_1(k39_fomodel2(A, B), k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) ).
fof(redefinition_k39_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v15_fomodel1(B, A))  &  (v4_fomodel2(B, A) &  ( ~ (v5_fomodel2(B, A))  & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => k39_fomodel2(A, B)=k38_fomodel2(A, B)) ) ).
fof(dt_k40_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m1_subset_1(k40_fomodel2(A), k1_zfmisc_1(k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))))) ) ).
fof(d14_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  => k14_fomodel2(A, B)=a_2_0_fomodel2(A, B)) ) ) ) ).
fof(d27_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k26_fomodel2(A)=a_1_0_fomodel2(A)) ) ).
fof(d29_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (v7_ordinal1(B) => k27_fomodel2(A, B)=a_2_1_fomodel2(A, B)) ) ) ) ).
fof(d30_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (v7_ordinal1(B) => k28_fomodel2(A, B)=a_2_2_fomodel2(A, B)) ) ) ) ).
fof(t13_fomodel2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k8_relset_1(k4_finseq_2(2, A), k5_margrel1, k2_fomodel2(A), k6_domain_1(k4_ordinal1, 1))=a_1_1_fomodel2(A)) ) ).
fof(d41_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k40_fomodel2(A)=a_1_2_fomodel2(A)) ) ).
fof(fraenkel_a_2_0_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  &  ~ (v1_xboole_0(C)) )  =>  (r2_hidden(A, a_2_0_fomodel2(B, C)) <=>  (? [D] :  (m2_funct_2(D, k37_fomodel1(B), k3_rfunct_3(k3_finseq_2(C), k2_xboole_0(C, k5_margrel1)), k9_funct_2(k37_fomodel1(B), k3_rfunct_3(k3_finseq_2(C), k2_xboole_0(C, k5_margrel1)))) &  (A=D & v1_fomodel2(D, B, C)) ) ) ) ) ) ).
fof(fraenkel_a_1_0_fomodel2, axiom,  (! [A, B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (r2_hidden(A, a_1_0_fomodel2(B)) <=>  (? [C] :  (m2_subset_1(C, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))) &  (A=C &  (? [D] :  (v7_ordinal1(D) & v3_fomodel2(C, B, D)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  & v7_ordinal1(C))  =>  (r2_hidden(A, a_2_1_fomodel2(B, C)) <=>  (? [D, E] :  ( (m2_subset_1(D, k15_fomodel1(B), k16_fomodel1(B)) & m2_subset_1(E, k6_subset_1(k3_finseq_2(k1_fomodel1(B)), k1_tarski(k1_xboole_0)), k24_fomodel2(B, C)))  & A=k42_fomodel1(B, k43_fomodel1(B, D), E)) ) ) ) ) ).
fof(fraenkel_a_2_2_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  & v7_ordinal1(C))  =>  (r2_hidden(A, a_2_2_fomodel2(B, C)) <=>  (? [D, E] :  ( (m2_subset_1(D, k6_subset_1(k3_finseq_2(k1_fomodel1(B)), k1_tarski(k1_xboole_0)), k24_fomodel2(B, C)) & m2_subset_1(E, k6_subset_1(k3_finseq_2(k1_fomodel1(B)), k1_tarski(k1_xboole_0)), k24_fomodel2(B, C)))  & A=k42_fomodel1(B, k42_fomodel1(B, k43_fomodel1(B, k1_fomodel2(B)), D), E)) ) ) ) ) ).
fof(fraenkel_a_1_1_fomodel2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (r2_hidden(A, a_1_1_fomodel2(B)) <=>  (? [C] :  (m1_subset_1(C, B) & A=k10_finseq_1(C, C)) ) ) ) ) ).
fof(fraenkel_a_1_2_fomodel2, axiom,  (! [A, B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (r2_hidden(A, a_1_2_fomodel2(B)) <=>  (? [C] :  (m2_subset_1(C, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))) &  (A=C &  (v4_fomodel2(C, B) & v5_fomodel2(C, B)) ) ) ) ) ) ) ).
fof(fc1_fomodel3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (m1_subset_1(B, k4_ordinal1) &  ( (v8_fomodel1(C, A) & m1_subset_1(C, k1_fomodel1(A)))  &  (v3_card_1(D, k1_int_2(k19_fomodel1(A, C))) & m1_subset_1(D, k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))), k39_fomodel1(A), B)))) ) ) )  => v14_fomodel1(k1_fomodel3(A, C, D), k1_nat_1(B, 1), A)) ) ).
fof(fc2_fomodel3, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v8_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  &  (v3_card_1(C, k1_int_2(k19_fomodel1(A, B))) & m1_subset_1(C, k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k35_fomodel1(A)))) ) )  => v13_fomodel1(k1_fomodel3(A, B, C), A)) ) ).
fof(fc3_fomodel3, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v7_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  &  (v3_card_1(C, k1_int_2(k19_fomodel1(A, B))) & m1_subset_1(C, k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k35_fomodel1(A)))) ) )  => v15_fomodel1(k1_fomodel3(A, B, C), A)) ) ).
fof(fc4_fomodel3, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v8_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A))) )  =>  (v1_relat_1(k5_relat_1(k2_fomodel3(A, B), k4_finseq_2(k1_int_2(k19_fomodel1(A, B)), k35_fomodel1(A)))) & v5_relat_1(k5_relat_1(k2_fomodel3(A, B), k4_finseq_2(k1_int_2(k19_fomodel1(A, B)), k35_fomodel1(A))), k35_fomodel1(A))) ) ) ).
fof(fc5_fomodel3, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v7_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A))) )  =>  (v1_relat_1(k5_relat_1(k2_fomodel3(A, B), k4_finseq_2(k1_int_2(k19_fomodel1(A, B)), k35_fomodel1(A)))) & v5_relat_1(k5_relat_1(k2_fomodel3(A, B), k4_finseq_2(k1_int_2(k19_fomodel1(A, B)), k35_fomodel1(A))), k32_fomodel1(A))) ) ) ).
fof(fc6_fomodel3, axiom,  (! [A, B] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (v1_relat_1(k5_fomodel3(A, B)) &  (v1_funct_1(k5_fomodel3(A, B)) & v1_funcop_1(k5_fomodel3(A, B))) ) ) ) ).
fof(fc7_fomodel3, axiom,  (! [A, B] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (v1_relat_1(k5_fomodel3(A, B)) &  (v1_funct_1(k5_fomodel3(A, B)) & v1_fomodel2(k5_fomodel3(A, B), A, k35_fomodel1(A))) ) ) ) ).
fof(fc8_fomodel3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_partfun1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  &  (v7_ordinal1(D) &  ~ (v8_ordinal1(D)) ) ) ) )  => v1_partfun1(k8_fomodel3(A, B, C, D), k4_finseq_2(D, A))) ) ).
fof(fc9_fomodel3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_partfun1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  & v7_ordinal1(D)) ) )  => v1_partfun1(k8_fomodel3(A, B, C, D), k4_finseq_2(D, A))) ) ).
fof(fc10_fomodel3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v7_ordinal1(D) & v8_ordinal1(D)) ) ) )  => v1_funct_1(k8_fomodel3(A, B, C, D))) ) ).
fof(fc11_fomodel3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_partfun1(B, A) &  (v3_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  & v7_ordinal1(C)) )  => v1_partfun1(k9_fomodel3(A, B, C), k4_finseq_2(C, A))) ) ).
fof(fc12_fomodel3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_partfun1(B, A) &  (v3_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  & v7_ordinal1(C)) )  => v3_relat_2(k9_fomodel3(A, B, C))) ) ).
fof(fc13_fomodel3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_partfun1(B, A) &  (v3_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  & v7_ordinal1(C)) )  =>  (v1_partfun1(k9_fomodel3(A, B, C), k4_finseq_2(C, A)) & v3_relat_2(k9_fomodel3(A, B, C))) ) ) ).
fof(fc14_fomodel3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_partfun1(B, A) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  & v7_ordinal1(C)) )  =>  (v1_partfun1(k9_fomodel3(A, B, C), k4_finseq_2(C, A)) & v8_relat_2(k9_fomodel3(A, B, C))) ) ) ).
fof(fc15_fomodel3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_partfun1(B, A) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  & v7_ordinal1(C)) )  =>  (v1_partfun1(k9_fomodel3(A, B, C), k4_finseq_2(C, A)) &  (v3_relat_2(k9_fomodel3(A, B, C)) & v8_relat_2(k9_fomodel3(A, B, C))) ) ) ) ).
fof(rc1_fomodel3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_partfun1(C, A) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  &  (v1_partfun1(D, B) &  (v3_relat_2(D) &  (v8_relat_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) ) ) ) )  =>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  ( ~ (v1_xboole_0(E))  &  (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v5_relat_1(E, B) &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v1_funct_2(E, A, B) & v1_fomodel3(E, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_fomodel3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  ( (v10_fomodel1(C, A) & m1_subset_1(C, k1_fomodel1(A)))  &  (v1_partfun1(D, B) &  (v3_relat_2(D) &  (v8_relat_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) ) ) ) )  =>  (? [E] :  (m1_fomodel2(E, A, B, C) &  ( ~ (v1_xboole_0(E))  &  (v1_relat_1(E) &  (v4_relat_1(E, k4_finseq_2(k1_int_2(k19_fomodel1(A, C)), B)) &  (v5_relat_1(E, k2_xboole_0(B, k5_margrel1)) &  (v1_funct_1(E) &  (v1_partfun1(E, k4_finseq_2(k1_int_2(k19_fomodel1(A, C)), B)) &  (v1_funct_2(E, k4_finseq_2(k1_int_2(k19_fomodel1(A, C)), B), k2_xboole_0(B, k5_margrel1)) & v2_fomodel3(E, A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_fomodel3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_partfun1(C, A) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  &  (v1_partfun1(D, B) &  (v3_relat_2(D) &  (v8_relat_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) ) ) ) )  =>  (? [E] :  (v1_relat_1(E) &  (v1_funct_1(E) & v1_fomodel3(E, C, D)) ) ) ) ) ).
fof(cc1_fomodel3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_partfun1(B, A) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  =>  (! [C] :  (m1_subset_1(C, k8_eqrel_1(A, B)) =>  ~ (v1_xboole_0(C)) ) ) ) ) ).
fof(fc16_fomodel3, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_partfun1(C, A) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  &  ( (v1_partfun1(D, B) &  (v3_relat_2(D) &  (v8_relat_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  &  (v1_relat_1(E) &  (v1_funct_1(E) & v1_fomodel3(E, C, D)) ) ) ) ) )  =>  (v1_relat_1(k11_fomodel3(A, B, C, D, E)) & v1_funct_1(k11_fomodel3(A, B, C, D, E))) ) ) ).
fof(fc17_fomodel3, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_partfun1(C, A) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  &  ( (v1_partfun1(D, B) &  (v3_relat_2(D) &  (v8_relat_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  &  (v1_partfun1(E, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) )  => v1_partfun1(k11_fomodel3(A, B, C, D, E), k8_eqrel_1(A, C))) ) ).
fof(fc18_fomodel3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_partfun1(B, A) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  =>  (v1_funct_1(k17_fomodel3(A, B)) &  (v1_funct_2(k17_fomodel3(A, B), A, k8_eqrel_1(A, B)) & v2_funct_2(k17_fomodel3(A, B), k8_eqrel_1(A, B))) ) ) ) ).
fof(rc4_fomodel3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) & v2_funct_2(C, B)) ) ) ) ) ) ) ).
fof(rc5_fomodel3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) & v2_funct_2(B, A)) ) ) ) ) ).
fof(fc19_fomodel3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) & v5_relat_1(B, A)) )  =>  (v1_relat_1(k2_relat_1(B)) & v4_relat_1(k2_relat_1(B), A)) ) ) ).
fof(fc20_fomodel3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v5_relat_1(B, A) & v2_funct_2(B, A)) ) )  =>  (v1_relat_1(k2_relat_1(B)) &  (v4_relat_1(k2_relat_1(B), A) & v1_partfun1(k2_relat_1(B), A)) ) ) ) ).
fof(fc21_fomodel3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v2_funct_2(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  => v1_partfun1(k2_relat_1(C), B)) ) ).
fof(fc22_fomodel3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v5_relat_1(B, A) & v2_funct_2(B, A)) ) )  =>  (v1_relat_1(k2_relat_1(B)) &  (v4_relat_1(k2_relat_1(B), A) & v1_partfun1(k2_relat_1(B), A)) ) ) ) ).
fof(fc23_fomodel3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  (v1_partfun1(C, A) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) )  => v1_funct_1(k18_fomodel3(A, B, C))) ) ).
fof(fc24_fomodel3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  (v1_partfun1(C, A) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) )  => v1_partfun1(k18_fomodel3(A, B, C), k4_finseq_2(B, k8_eqrel_1(A, C)))) ) ).
fof(cc2_fomodel3, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k37_fomodel1(A)) => v9_fomodel1(B, A)) ) ) ) ).
fof(cc3_fomodel3, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k37_fomodel1(A)) => v10_fomodel1(B, A)) ) ) ) ).
fof(cc4_fomodel3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v7_fomodel1(C, A))  &  (v10_fomodel1(C, A) & m1_subset_1(C, k1_fomodel1(A))) )  & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  =>  (! [E] :  (m1_fomodel2(E, A, B, C) =>  (v2_fomodel3(E, A, B, C, D) => v1_fomodel3(E, k9_fomodel3(B, D, k1_int_2(k19_fomodel1(A, C))), D)) ) ) ) ) ).
fof(cc5_fomodel3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  ( (v7_fomodel1(C, A) & m1_subset_1(C, k1_fomodel1(A)))  & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  =>  (! [E] :  (m1_fomodel2(E, A, B, C) =>  (v2_fomodel3(E, A, B, C, D) => v1_fomodel3(E, k9_fomodel3(B, D, k1_int_2(k19_fomodel1(A, C))), k3_fomodel2(k5_margrel1))) ) ) ) ) ).
fof(fc25_fomodel3, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C)))) ) ) )  =>  (v1_relat_1(k8_fomodel3(B, C, D, A)) & v1_funct_1(k8_fomodel3(B, C, D, A))) ) ) ).
fof(fc26_fomodel3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v7_ordinal1(C) & v8_ordinal1(C))  & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  => v1_xboole_0(k5_xboole_0(k8_fomodel3(A, B, D, C), k3_fomodel2(k1_tarski(k1_xboole_0))))) ) ).
fof(fc27_fomodel3, axiom,  (! [A, B] :  (v4_funct_1(B) => v4_funct_1(k3_xboole_0(A, B))) ) ).
fof(fc28_fomodel3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) )  &  (v1_partfun1(D, B) &  (v3_relat_2(D) &  (v8_relat_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) ) ) ) )  =>  (v1_relat_1(k22_fomodel3(A, B, D, C)) &  (v4_relat_1(k22_fomodel3(A, B, D, C), k37_fomodel1(A)) & v1_funct_1(k22_fomodel3(A, B, D, C))) ) ) ) ).
fof(rc6_fomodel3, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(C, B) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) ) ) )  =>  (? [D] :  (m1_subset_1(D, k15_fomodel2(A, B)) &  (v1_relat_1(D) &  (v4_relat_1(D, k37_fomodel1(A)) &  (v1_funct_1(D) &  (v1_partfun1(D, k37_fomodel1(A)) &  (v1_funcop_1(D) &  (v2_funcop_1(D) &  (v1_fomodel2(D, A, B) & v3_fomodel3(D, A, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc7_fomodel3, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(C, B) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) ) ) )  =>  (? [D] :  (v1_relat_1(D) &  (v1_funct_1(D) &  (v1_funcop_1(D) &  (v2_funcop_1(D) &  (v1_fomodel2(D, A, B) & v3_fomodel3(D, A, B, C)) ) ) ) ) ) ) ) ).
fof(fc29_fomodel3, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  ( (v1_partfun1(C, B) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  &  ( (v9_fomodel1(D, A) & m1_subset_1(D, k1_fomodel1(A)))  &  (v1_relat_1(E) &  (v1_funct_1(E) &  (v1_fomodel2(E, A, B) & v3_fomodel3(E, A, B, C)) ) ) ) ) ) )  => v2_fomodel3(k1_funct_1(E, D), A, B, D, C)) ) ).
fof(fc30_fomodel3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  ( (v1_partfun1(C, B) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  &  (v1_relat_1(D) &  (v1_funct_1(D) &  (v1_fomodel2(D, A, B) & v3_fomodel3(D, A, B, C)) ) ) ) ) )  =>  (v1_relat_1(k22_fomodel3(A, B, C, D)) &  (v1_funct_1(k22_fomodel3(A, B, C, D)) & v1_fomodel2(k22_fomodel3(A, B, C, D), A, k8_eqrel_1(B, C))) ) ) ) ).
fof(fc31_fomodel3, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  &  ( (v4_fomodel1(C, A) & m1_subset_1(C, k1_fomodel1(A)))  &  (v7_ordinal1(D) &  (v14_fomodel1(E, D, A) & m1_subset_1(E, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) ) )  => v14_fomodel1(k17_fomodel0(B, C, E), D, A)) ) ).
fof(fc32_fomodel3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v13_fomodel1(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  ( (v4_fomodel1(C, A) & m1_subset_1(C, k1_fomodel1(A)))  &  (v4_fomodel1(D, A) & m1_subset_1(D, k1_fomodel1(A))) ) ) )  => v13_fomodel1(k17_fomodel0(C, D, B), A)) ) ).
fof(fc33_fomodel3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  &  ( (v4_fomodel1(C, A) & m1_subset_1(C, k1_fomodel1(A)))  &  (v15_fomodel1(D, A) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => v15_fomodel1(k17_fomodel0(B, C, D), A)) ) ).
fof(fc34_fomodel3, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v8_ordinal1(B) &  (v3_fomodel2(C, A, B) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => v8_ordinal1(k29_fomodel2(A, C))) ) ).
fof(fc35_fomodel3, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  & v7_ordinal1(C)) )  => v3_fomodel2(k13_fomodel0(C, B), A, k2_xcmplx_0(k29_fomodel2(A, B), C))) ) ).
fof(fc36_fomodel3, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v7_ordinal1(B) &  (v3_fomodel2(C, A, B) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  =>  (v1_xxreal_0(k6_xcmplx_0(B, k29_fomodel2(A, C))) &  ~ (v3_xxreal_0(k6_xcmplx_0(B, k29_fomodel2(A, C)))) ) ) ) ).
fof(fc37_fomodel3, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  &  ( (v4_fomodel1(C, A) & m1_subset_1(C, k1_fomodel1(A)))  &  (v7_ordinal1(D) &  (v3_fomodel2(E, A, D) & m1_subset_1(E, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) ) )  => v3_fomodel2(k17_fomodel0(B, C, E), A, D)) ) ).
fof(fc38_fomodel3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  &  ( (v4_fomodel1(C, A) & m1_subset_1(C, k1_fomodel1(A)))  &  (v4_fomodel2(D, A) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => v4_fomodel2(k17_fomodel0(B, C, D), A)) ) ).
fof(fc39_fomodel3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  &  ( (v4_fomodel1(C, A) & m1_subset_1(C, k1_fomodel1(A)))  &  (v4_fomodel2(D, A) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => v1_xboole_0(k5_xboole_0(k29_fomodel2(A, k24_fomodel3(A, B, C, D)), k29_fomodel2(A, D)))) ) ).
fof(rc8_fomodel3, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] :  (m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  ( ~ (v8_ordinal1(B))  &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) &  (v2_pre_poly(B) & v13_fomodel1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc9_fomodel3, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] :  (m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  ( ~ (v8_ordinal1(B))  &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) &  (v2_pre_poly(B) & v15_fomodel1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc40_fomodel3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  &  (m1_subset_1(C, k35_fomodel1(A)) &  (v15_fomodel1(D, A) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => v15_fomodel1(k26_fomodel3(A, B, C, D), A)) ) ).
fof(fc41_fomodel3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  &  ( (v4_fomodel1(C, A) & m1_subset_1(C, k1_fomodel1(A)))  & v7_ordinal1(D)) ) )  =>  (v1_relat_1(k5_relat_1(k20_fomodel0(k1_fomodel1(A), B, C), k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))), k39_fomodel1(A), D))) & v5_relat_1(k5_relat_1(k20_fomodel0(k1_fomodel1(A), B, C), k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))), k39_fomodel1(A), D)), k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))), k39_fomodel1(A), D))) ) ) ).
fof(fc42_fomodel3, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  &  (v4_fomodel1(C, A) & m1_subset_1(C, k1_fomodel1(A))) ) )  =>  (v1_relat_1(k5_relat_1(k20_fomodel0(k1_fomodel1(A), B, C), k35_fomodel1(A))) & v5_relat_1(k5_relat_1(k20_fomodel0(k1_fomodel1(A), B, C), k35_fomodel1(A)), k35_fomodel1(A))) ) ) ).
fof(cc6_fomodel3, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k9_funct_2(k30_fomodel2(A), k30_fomodel2(A))) => v1_pre_poly(B)) ) ) ) ).
fof(fc43_fomodel3, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  &  ( (v13_fomodel1(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v7_ordinal1(D) &  (m1_subset_1(E, k9_funct_2(k30_fomodel2(A), k30_fomodel2(A))) &  (v4_fomodel2(F, A) & m1_subset_1(F, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) ) ) )  => v4_fomodel2(k28_fomodel3(A, B, C, D, E, F), A)) ) ).
fof(fc44_fomodel3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  &  ( (v13_fomodel1(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v4_fomodel2(D, A) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => v4_fomodel2(k37_fomodel3(A, B, C, D), A)) ) ).
fof(ie1_fomodel3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  &  (m1_subset_1(C, k35_fomodel1(A)) &  (v15_fomodel1(D, A) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => k37_fomodel3(A, B, C, D)=k27_fomodel3(A, B, C, D)) ) ).
fof(ie2_fomodel3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  &  (m1_subset_1(C, k35_fomodel1(A)) &  (v15_fomodel1(D, A) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => k27_fomodel3(A, B, C, D)=k37_fomodel3(A, B, C, D)) ) ).
fof(fc45_fomodel3, axiom,  (! [A, B, C, D, E] :  ( (v7_ordinal1(A) &  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  &  ( (v4_fomodel1(C, B) & m1_subset_1(C, k1_fomodel1(B)))  &  ( (v13_fomodel1(D, B) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  &  (v3_fomodel2(E, B, A) & m1_subset_1(E, k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)))) ) ) ) )  => v3_fomodel2(k37_fomodel3(B, C, D, E), B, A)) ) ).
fof(d1_fomodel3, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  (! [C] :  (m2_subset_1(C, k3_finseq_2(k3_finseq_2(k1_fomodel1(A))), k3_fomodel0(k3_finseq_2(k1_fomodel1(A)), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0)))) => k1_fomodel3(A, B, C)=k7_finseq_1(k43_fomodel1(A, B), k3_funct_2(k3_finseq_2(k3_finseq_2(k1_fomodel1(A))), k3_finseq_2(k15_fomodel1(A)), k21_fomodel1(A), C))) ) ) ) ) ) ).
fof(d2_fomodel3, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k3_fomodel0(k3_finseq_2(k1_fomodel1(A)), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k3_fomodel0(k3_finseq_2(k1_fomodel1(A)), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0)))))) )  =>  (C=k2_fomodel3(A, B) <=>  (! [D] :  (m2_subset_1(D, k3_finseq_2(k3_finseq_2(k1_fomodel1(A))), k3_fomodel0(k3_finseq_2(k1_fomodel1(A)), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0)))) => k3_funct_2(k3_fomodel0(k3_finseq_2(k1_fomodel1(A)), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0)), C, D)=k1_fomodel3(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d3_fomodel3, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( (v10_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  =>  (! [C] :  ( ( ~ (v7_fomodel1(B, A))  => k3_fomodel3(A, B, C)=k2_partfun1(k3_fomodel0(k3_finseq_2(k1_fomodel1(A)), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0)), k2_fomodel3(A, B), k4_finseq_2(k1_int_2(k19_fomodel1(A, B)), k35_fomodel1(A))))  &  (v7_fomodel1(B, A) => k3_fomodel3(A, B, C)=k3_relat_1(k2_partfun1(k3_fomodel0(k3_finseq_2(k1_fomodel1(A)), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0)), k2_fomodel3(A, B), k4_finseq_2(k1_int_2(k19_fomodel1(A, B)), k35_fomodel1(A))), k10_fomodel0(C, k32_fomodel1(A)))) ) ) ) ) ) ) ).
fof(d4_fomodel3, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k5_fomodel3(A, B) <=>  (k9_xtuple_0(C)=k37_fomodel1(A) &  (! [D] :  ( (v9_fomodel1(D, A) & m1_subset_1(D, k1_fomodel1(A)))  => k1_funct_1(C, D)=k4_fomodel3(A, D, B)) ) ) ) ) ) ) ) ) ).
fof(d6_fomodel3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  (v7_ordinal1(C) => k9_fomodel3(A, B, C)=k8_fomodel3(A, A, B, C)) ) ) ) ) ) ).
fof(d7_fomodel3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  ( (v7_ordinal1(C) & v8_ordinal1(C))  => k10_fomodel3(A, B, C)=k1_tarski(k4_tarski(k1_xboole_0, k1_xboole_0))) ) ) ) ) ) ).
fof(d9_fomodel3, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (v1_fomodel3(C, A, B) <=>  (! [D] :  (! [E] :  (r2_hidden(k4_tarski(D, E), A) => r2_hidden(k4_tarski(k1_funct_1(C, D), k1_funct_1(C, E)), B)) ) ) ) ) ) ) ) ) ) ).
fof(d10_fomodel3, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v10_fomodel1(C, A) & m1_subset_1(C, k1_fomodel1(A)))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B))) =>  (! [E] :  (m2_fomodel2(E, A, B, C) =>  ( ( ~ (v7_fomodel1(C, A))  =>  (v2_fomodel3(E, A, B, C, D) <=> v1_fomodel3(E, k9_fomodel3(B, D, k1_int_2(k19_fomodel1(A, C))), D)) )  &  (v7_fomodel1(C, A) =>  (v2_fomodel3(E, A, B, C, D) <=> v1_fomodel3(E, k9_fomodel3(B, D, k1_int_2(k19_fomodel1(A, C))), k3_fomodel2(k5_margrel1))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_fomodel3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_bvfunc_1(B, A, k11_eqrel_1(A)) =>  (! [C] :  (m1_subset_1(C, A) =>  (C=k14_fomodel3(A, B) <=> B=k6_domain_1(A, C)) ) ) ) ) ) ) ).
fof(d12_fomodel3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k11_eqrel_1(A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k11_eqrel_1(A), A)))) )  =>  (B=k15_fomodel3(A) <=>  (! [C] :  (m1_bvfunc_1(C, A, k11_eqrel_1(A)) => k3_funct_2(k11_eqrel_1(A), A, B, C)=k14_fomodel3(A, C)) ) ) ) ) ) ) ).
fof(d13_fomodel3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k8_eqrel_1(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k8_eqrel_1(A, B))))) )  =>  (C=k17_fomodel3(A, B) <=>  (! [D] :  (m1_subset_1(D, A) => k3_funct_2(A, k8_eqrel_1(A, B), C, D)=k9_eqrel_1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d14_fomodel3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_partfun1(C, A) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  => k18_fomodel3(A, B, C)=k4_relset_1(k4_finseq_2(B, k8_eqrel_1(A, C)), k4_finseq_2(B, A), k4_finseq_2(B, A), k8_eqrel_1(k4_finseq_2(B, A), k13_fomodel3(A, C, B)), k8_fomodel3(k8_eqrel_1(A, C), A, k3_relset_1(A, k8_eqrel_1(A, C), k17_fomodel3(A, C)), B), k17_fomodel3(k4_finseq_2(B, A), k13_fomodel3(A, C, B)))) ) ) ) ) ) ).
fof(d15_fomodel3, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v10_fomodel1(C, A) & m1_subset_1(C, k1_fomodel1(A)))  =>  (! [D] :  ( (v1_partfun1(D, B) &  (v3_relat_2(D) &  (v8_relat_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  =>  (! [E] :  (m2_fomodel2(E, A, B, C) =>  ( ( ~ (v7_fomodel1(C, A))  => k20_fomodel3(A, B, C, D, E)=k4_relset_1(k4_finseq_2(k1_int_2(k19_fomodel1(A, C)), k8_eqrel_1(B, D)), k8_eqrel_1(k4_finseq_2(k1_int_2(k19_fomodel1(A, C)), B), k13_fomodel3(B, D, k1_int_2(k19_fomodel1(A, C)))), k8_eqrel_1(k4_finseq_2(k1_int_2(k19_fomodel1(A, C)), B), k13_fomodel3(B, D, k1_int_2(k19_fomodel1(A, C)))), k8_eqrel_1(B, D), k19_fomodel3(B, k1_int_2(k19_fomodel1(A, C)), D), k12_fomodel3(k4_finseq_2(k1_int_2(k19_fomodel1(A, C)), B), B, k13_fomodel3(B, D, k1_int_2(k19_fomodel1(A, C))), D, E)))  &  (v7_fomodel1(C, A) => k20_fomodel3(A, B, C, D, E)=k4_relset_1(k4_finseq_2(k1_int_2(k19_fomodel1(A, C)), k8_eqrel_1(B, D)), k8_eqrel_1(k5_margrel1, k3_fomodel2(k5_margrel1)), k11_eqrel_1(k5_margrel1), k5_margrel1, k4_relset_1(k4_finseq_2(k1_int_2(k19_fomodel1(A, C)), k8_eqrel_1(B, D)), k8_eqrel_1(k4_finseq_2(k1_int_2(k19_fomodel1(A, C)), B), k13_fomodel3(B, D, k1_int_2(k19_fomodel1(A, C)))), k8_eqrel_1(k4_finseq_2(k1_int_2(k19_fomodel1(A, C)), B), k13_fomodel3(B, D, k1_int_2(k19_fomodel1(A, C)))), k8_eqrel_1(k5_margrel1, k3_fomodel2(k5_margrel1)), k19_fomodel3(B, k1_int_2(k19_fomodel1(A, C)), D), k12_fomodel3(k4_finseq_2(k1_int_2(k19_fomodel1(A, C)), B), k5_margrel1, k13_fomodel3(B, D, k1_int_2(k19_fomodel1(A, C))), k3_fomodel2(k5_margrel1), E)), k15_fomodel3(k5_margrel1))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_fomodel3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  (m1_bvfunc_1(C, A, k8_eqrel_1(A, B)) =>  (! [D] :  (m1_bvfunc_1(D, A, k8_eqrel_1(A, B)) =>  ( ~ (r2_subset_1(C, D))  => C=D) ) ) ) ) ) ) ) ) ).
fof(t2_fomodel3, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m2_subset_1(B, k3_finseq_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))), k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k35_fomodel1(A))) =>  (? [C] :  (m1_subset_1(C, k4_ordinal1) & m2_subset_1(B, k3_finseq_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))), k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))), k39_fomodel1(A), C)))) ) ) ) ) ) ).
fof(d16_fomodel3, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_partfun1(C, B) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_fomodel2(D, A, B)) )  =>  (v3_fomodel3(D, A, B, C) <=>  (! [E] :  ( (v9_fomodel1(E, A) & m1_subset_1(E, k1_fomodel1(A)))  => v2_fomodel3(k4_fomodel2(A, B, D, E), A, B, E, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_fomodel3, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_partfun1(C, B) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_fomodel2(D, A, B)) )  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (E=k22_fomodel3(A, B, C, D) <=>  (k9_xtuple_0(E)=k37_fomodel1(A) &  (! [F] :  (m2_subset_1(F, k15_fomodel1(A), k37_fomodel1(A)) => k1_funct_1(E, F)=k20_fomodel3(A, B, F, C, k4_fomodel2(A, B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_fomodel3, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_partfun1(C, B) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_fomodel2(D, A, B)) )  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (E=k22_fomodel3(A, B, C, D) <=>  (k9_xtuple_0(E)=k37_fomodel1(A) &  (! [F] :  ( (v9_fomodel1(F, A) & m1_subset_1(F, k1_fomodel1(A)))  => k1_funct_1(E, F)=k20_fomodel3(A, B, F, C, k4_fomodel2(A, B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_fomodel3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  ( (v1_partfun1(C, A) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v1_fomodel2(D, B, A) & v3_fomodel3(D, B, A, C)) ) )  => r2_funct_2(k35_fomodel1(B), k8_eqrel_1(A, C), k9_fomodel2(B, k8_eqrel_1(A, C), k23_fomodel3(B, A, C, D)), k1_partfun1(k35_fomodel1(B), A, A, k8_eqrel_1(A, C), k9_fomodel2(B, A, D), k17_fomodel3(A, C)))) ) ) ) ) ) ) ) ).
fof(t4_fomodel3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  => r2_funct_2(k35_fomodel1(B), k35_fomodel1(B), k9_fomodel2(B, k35_fomodel1(B), k7_fomodel3(B, A)), k3_fomodel2(k35_fomodel1(B)))) ) ) ).
fof(t5_fomodel3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  ( (v1_partfun1(C, A) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [D] :  ( (v15_fomodel1(D, B) & m2_subset_1(D, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) &  (v1_fomodel2(E, B, A) & v3_fomodel3(E, B, A, C)) ) )  =>  ( ~ (k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)), k15_fomodel1(B), k22_fomodel1(B), D)=k31_fomodel2(B))  => k13_fomodel2(B, k8_eqrel_1(A, C), k23_fomodel3(B, A, C, E), D)=k13_fomodel2(B, A, E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_fomodel3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  ( (v10_fomodel1(C, B) & m1_subset_1(C, k1_fomodel1(B)))  =>  (! [D] :  ( (v3_card_1(D, k1_int_2(k19_fomodel1(B, C))) & m2_subset_1(D, k3_finseq_2(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))), k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)), k35_fomodel1(B))))  =>  ( ( ~ (v7_fomodel1(C, B))  => k1_funct_1(k4_fomodel3(B, C, A), D)=k1_fomodel3(B, C, D))  &  (v7_fomodel1(C, B) => k1_funct_1(k4_fomodel3(B, C, A), D)=k1_funct_1(k10_fomodel0(A, k32_fomodel1(B)), k1_fomodel3(B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t7_fomodel3, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v6_struct_0(D))  &  (v11_fomodel1(D) & l1_fomodel1(D)) )  =>  (! [E] :  ( (v4_fomodel1(E, D) & m1_subset_1(E, k1_fomodel1(D)))  =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_fomodel2(F, D, B)) )  =>  (! [G] :  (m2_subset_1(G, k6_subset_1(k3_finseq_2(k15_fomodel1(D)), k1_tarski(k1_xboole_0)), k35_fomodel1(D)) => k5_relat_1(k3_relat_1(k8_nat_1(k9_funct_2(k35_fomodel1(D), k35_fomodel1(D)), k7_fomodel2(D, k35_fomodel1(D), G, k34_fomodel2(D, k35_fomodel1(D), k7_fomodel3(D, A), E, G)), C), k9_fomodel2(D, B, F)), k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(D)), k1_tarski(k1_xboole_0))), k39_fomodel1(D), C))=k5_relat_1(k8_nat_1(k9_funct_2(k35_fomodel1(D), B), k7_fomodel2(D, B, k3_funct_2(k35_fomodel1(D), B, k9_fomodel2(D, B, F), G), k5_fomodel2(F, E, k3_funct_2(k35_fomodel1(D), B, k9_fomodel2(D, B, F), G))), C), k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(D)), k1_tarski(k1_xboole_0))), k39_fomodel1(D), C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_fomodel3, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  =>  (! [C] :  (m2_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k35_fomodel1(A)) =>  (! [D] :  ( (v15_fomodel1(D, A) & m2_subset_1(D, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  => k26_fomodel3(A, B, C, D)=k7_finseq_1(k43_fomodel1(A, k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k15_fomodel1(A), k22_fomodel1(A), D)), k1_funct_1(k21_fomodel1(A), k3_relat_1(k34_fomodel1(A, D), k9_fomodel2(A, k35_fomodel1(A), k34_fomodel2(A, k35_fomodel1(A), k7_fomodel3(A, k1_xboole_0), B, C)))))) ) ) ) ) ) ) ) ).
fof(t8_fomodel3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  ( (v4_fomodel1(C, B) & m1_subset_1(C, k1_fomodel1(B)))  =>  (! [D] :  ( (v15_fomodel1(D, B) & m2_subset_1(D, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_fomodel2(E, B, A)) )  =>  (! [F] :  (m2_subset_1(F, k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)), k35_fomodel1(B)) => k13_fomodel2(B, A, E, k27_fomodel3(B, C, F, D))=k13_fomodel2(B, A, k5_fomodel2(E, C, k3_funct_2(k35_fomodel1(B), A, k9_fomodel2(B, A, E), F)), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_fomodel3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( ( ~ (v6_struct_0(C))  &  (v11_fomodel1(C) & l1_fomodel1(C)) )  =>  (! [D] :  ( (v4_fomodel1(D, C) & m1_subset_1(D, k1_fomodel1(C)))  =>  (! [E] :  ( (v4_fomodel1(E, C) & m1_subset_1(E, k1_fomodel1(C)))  =>  (! [F] :  ( (v4_fomodel2(F, C) & m2_subset_1(F, k3_finseq_2(k15_fomodel1(C)), k6_subset_1(k3_finseq_2(k15_fomodel1(C)), k1_tarski(k1_xboole_0))))  =>  ( ~ (r2_tarski(E, k10_xtuple_0(F)))  =>  (! [G] :  (m2_subset_1(G, k9_funct_2(k37_fomodel1(C), k3_rfunct_3(k3_finseq_2(A), k2_xboole_0(A, k5_margrel1))), k15_fomodel2(C, A)) => k25_fomodel2(C, A, k34_fomodel2(C, A, G, D, B), F)=k25_fomodel2(C, A, k34_fomodel2(C, A, G, E, B), k24_fomodel3(C, D, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d21_fomodel3, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  =>  (! [C] :  ( (v13_fomodel1(C, A) & m2_subset_1(C, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m2_funct_2(E, k30_fomodel2(A), k30_fomodel2(A), k9_funct_2(k30_fomodel2(A), k30_fomodel2(A))) =>  (! [F] :  (m2_funct_2(F, k30_fomodel2(A), k30_fomodel2(A), k9_funct_2(k30_fomodel2(A), k30_fomodel2(A))) =>  (F=k31_fomodel3(A, B, C, D, E) <=>  (! [G] :  ( (v4_fomodel2(G, A) & m2_subset_1(G, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  => k1_funct_1(F, G)=k29_fomodel3(A, B, C, D, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d22_fomodel3, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  =>  (! [C] :  ( (v13_fomodel1(C, A) & m2_subset_1(C, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  =>  (! [D] :  (m2_funct_2(D, k30_fomodel2(A), k30_fomodel2(A), k9_funct_2(k30_fomodel2(A), k30_fomodel2(A))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k9_funct_2(k30_fomodel2(A), k30_fomodel2(A))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_funct_2(k30_fomodel2(A), k30_fomodel2(A)))))) )  =>  (E=k32_fomodel3(A, B, C, D) <=>  (k8_nat_1(k9_funct_2(k30_fomodel2(A), k30_fomodel2(A)), E, k5_numbers)=D &  (! [F] :  (v7_ordinal1(F) => k8_nat_1(k9_funct_2(k30_fomodel2(A), k30_fomodel2(A)), E, k1_nat_1(F, 1))=k31_fomodel3(A, B, C, F, k8_nat_1(k9_funct_2(k30_fomodel2(A), k30_fomodel2(A)), E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d23_fomodel3, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  =>  (! [C] :  ( (v13_fomodel1(C, A) & m2_subset_1(C, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k32_fomodel1(A), k32_fomodel1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k32_fomodel1(A), k32_fomodel1(A))))) )  =>  (D=k33_fomodel3(A, B, C) <=>  (! [E] :  ( (v15_fomodel1(E, A) & m2_subset_1(E, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  =>  (! [F] :  (m2_subset_1(F, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k35_fomodel1(A)) =>  (F=C => k1_funct_1(D, E)=k27_fomodel3(A, B, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d24_fomodel3, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  =>  (! [C] :  ( (v13_fomodel1(C, A) & m2_subset_1(C, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  => k34_fomodel3(A, B, C)=k1_funct_4(k3_fomodel2(k30_fomodel2(A)), k33_fomodel3(A, B, C))) ) ) ) ) ) ).
fof(d25_fomodel3, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  =>  (! [C] :  ( (v13_fomodel1(C, A) & m2_subset_1(C, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  =>  (! [D] :  ( (v4_fomodel2(D, A) & m2_subset_1(D, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  => k37_fomodel3(A, B, C, D)=k1_funct_1(k8_nat_1(k9_funct_2(k30_fomodel2(A), k30_fomodel2(A)), k32_fomodel3(A, B, C, k36_fomodel3(A, B, C)), k29_fomodel2(A, D)), D)) ) ) ) ) ) ) ) ).
fof(t10_fomodel3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  ( (v4_fomodel1(C, B) & m1_subset_1(C, k1_fomodel1(B)))  =>  (! [D] :  ( (v4_fomodel2(D, B) & m2_subset_1(D, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  =>  (! [E] :  (m2_subset_1(E, k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)), k35_fomodel1(B)) =>  (k29_fomodel2(B, k37_fomodel3(B, C, E, D))=k29_fomodel2(B, D) &  (! [F] :  (m2_subset_1(F, k9_funct_2(k37_fomodel1(B), k3_rfunct_3(k3_finseq_2(A), k2_xboole_0(A, k5_margrel1))), k15_fomodel2(B, A)) => k25_fomodel2(B, A, F, k37_fomodel3(B, C, E, D))=k25_fomodel2(B, A, k34_fomodel2(B, A, F, C, k3_funct_2(k35_fomodel1(B), A, k9_fomodel2(B, A, F), E)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_fomodel3, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v6_struct_0(C))  &  (v11_fomodel1(C) & l1_fomodel1(C)) )  =>  (! [D] :  ( ( ~ (v6_struct_0(D))  &  (v11_fomodel1(D) & l1_fomodel1(D)) )  =>  (! [E] :  (m2_subset_1(E, k9_funct_2(k37_fomodel1(C), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k15_fomodel2(C, B)) =>  (! [F] :  (m2_subset_1(F, k9_funct_2(k37_fomodel1(D), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k15_fomodel2(D, B)) =>  ( (k5_relat_1(E, A)=k5_relat_1(F, A) & k2_partfun1(k6_subset_1(u1_struct_0(C), k1_tarski(u3_struct_0(C))), k4_numbers, u1_fomodel1(C), A)=k2_partfun1(k6_subset_1(u1_struct_0(D), k1_tarski(u3_struct_0(D))), k4_numbers, u1_fomodel1(D), A))  => k2_partfun1(k35_fomodel1(C), B, k9_fomodel2(C, B, E), k3_finseq_2(A))=k2_partfun1(k35_fomodel1(D), B, k9_fomodel2(D, B, F), k3_finseq_2(A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_fomodel3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  ( ( ~ (v6_struct_0(C))  &  (v11_fomodel1(C) & l1_fomodel1(C)) )  =>  ( (k1_fomodel2(B)=k1_fomodel2(C) &  (k31_fomodel2(B)=k31_fomodel2(C) & k2_partfun1(k6_subset_1(u1_struct_0(B), k1_tarski(u3_struct_0(B))), k4_numbers, u1_fomodel1(B), k37_fomodel1(B))=k2_partfun1(k6_subset_1(u1_struct_0(C), k1_tarski(u3_struct_0(C))), k4_numbers, u1_fomodel1(C), k37_fomodel1(B))) )  =>  (! [D] :  (m2_subset_1(D, k9_funct_2(k37_fomodel1(B), k3_rfunct_3(k3_finseq_2(A), k2_xboole_0(A, k5_margrel1))), k15_fomodel2(B, A)) =>  (! [E] :  (m2_subset_1(E, k9_funct_2(k37_fomodel1(C), k3_rfunct_3(k3_finseq_2(A), k2_xboole_0(A, k5_margrel1))), k15_fomodel2(C, A)) =>  (! [F] :  ( (v4_fomodel2(F, B) & m2_subset_1(F, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  =>  ~ ( (k5_relat_1(D, k37_fomodel1(B))=k5_relat_1(E, k37_fomodel1(B)) &  (! [G] :  ( (v4_fomodel2(G, C) & m2_subset_1(G, k3_finseq_2(k15_fomodel1(C)), k6_subset_1(k3_finseq_2(k15_fomodel1(C)), k1_tarski(k1_xboole_0))))  =>  ~ ( (G=F & k25_fomodel2(C, A, E, G)=k25_fomodel2(B, A, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_fomodel3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  ( (v4_fomodel2(C, B) & m2_subset_1(C, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  =>  (! [D] :  (m2_subset_1(D, k9_funct_2(k37_fomodel1(B), k3_rfunct_3(k3_finseq_2(A), k2_xboole_0(A, k5_margrel1))), k15_fomodel2(B, A)) =>  (! [E] :  (m2_subset_1(E, k9_funct_2(k37_fomodel1(B), k3_rfunct_3(k3_finseq_2(A), k2_xboole_0(A, k5_margrel1))), k15_fomodel2(B, A)) =>  (k5_relat_1(D, k9_subset_1(k15_fomodel1(B), k10_xtuple_0(C), k37_fomodel1(B)))=k5_relat_1(E, k9_subset_1(k15_fomodel1(B), k10_xtuple_0(C), k37_fomodel1(B))) => k25_fomodel2(B, A, D, C)=k25_fomodel2(B, A, E, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_fomodel3, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( ( ~ (v6_struct_0(D))  &  (v11_fomodel1(D) & l1_fomodel1(D)) )  =>  (! [E] :  ( (v4_fomodel1(E, D) & m1_subset_1(E, k1_fomodel1(D)))  =>  (! [F] :  (m2_subset_1(F, k9_funct_2(k37_fomodel1(D), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k15_fomodel2(D, B)) =>  (v10_fomodel2(A, B, D, F) =>  (v7_fomodel2(E, A, D) | v10_fomodel2(A, B, D, k34_fomodel2(D, B, F, E, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_fomodel3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( ( ~ (v6_struct_0(C))  &  (v11_fomodel1(C) & l1_fomodel1(C)) )  =>  (! [D] :  ( (v4_fomodel1(D, C) & m1_subset_1(D, k1_fomodel1(C)))  =>  (! [E] :  ( (v1_partfun1(E, A) &  (v3_relat_2(E) &  (v8_relat_2(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [F] :  ( (v3_fomodel3(F, C, A, E) & m2_subset_1(F, k9_funct_2(k37_fomodel1(C), k3_rfunct_3(k3_finseq_2(A), k2_xboole_0(A, k5_margrel1))), k15_fomodel2(C, A)))  => k34_fomodel2(C, k8_eqrel_1(A, E), k23_fomodel3(C, A, E, F), D, k3_funct_2(A, k8_eqrel_1(A, E), k17_fomodel3(A, E), B))=k22_fomodel3(C, A, E, k34_fomodel2(C, A, F, D, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_fomodel3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  ( ( ~ (v6_struct_0(C))  &  (v11_fomodel1(C) & l1_fomodel1(C)) )  =>  ( (k31_fomodel2(B)=k31_fomodel2(C) & k1_fomodel2(B)=k1_fomodel2(C))  =>  (! [D] :  (m2_subset_1(D, k9_funct_2(k37_fomodel1(B), k3_rfunct_3(k3_finseq_2(A), k2_xboole_0(A, k5_margrel1))), k15_fomodel2(B, A)) =>  (! [E] :  (m2_subset_1(E, k9_funct_2(k37_fomodel1(C), k3_rfunct_3(k3_finseq_2(A), k2_xboole_0(A, k5_margrel1))), k15_fomodel2(C, A)) =>  (! [F] :  ( (v4_fomodel2(F, B) & m2_subset_1(F, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  =>  ~ ( (k2_partfun1(k6_subset_1(u1_struct_0(B), k1_tarski(u3_struct_0(B))), k4_numbers, u1_fomodel1(B), k9_subset_1(k15_fomodel1(B), k10_xtuple_0(F), k37_fomodel1(B)))=k2_partfun1(k6_subset_1(u1_struct_0(C), k1_tarski(u3_struct_0(C))), k4_numbers, u1_fomodel1(C), k9_subset_1(k15_fomodel1(B), k10_xtuple_0(F), k37_fomodel1(B))) &  (k5_relat_1(D, k9_subset_1(k15_fomodel1(B), k10_xtuple_0(F), k37_fomodel1(B)))=k5_relat_1(E, k9_subset_1(k15_fomodel1(B), k10_xtuple_0(F), k37_fomodel1(B))) &  (! [G] :  ( (v4_fomodel2(G, C) & m2_subset_1(G, k3_finseq_2(k15_fomodel1(C)), k6_subset_1(k3_finseq_2(k15_fomodel1(C)), k1_tarski(k1_xboole_0))))  =>  ~ (F=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_fomodel3, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v6_struct_0(C))  &  (v11_fomodel1(C) & l1_fomodel1(C)) )  =>  (! [D] :  ( ( ~ (v6_struct_0(D))  &  (v11_fomodel1(D) & l1_fomodel1(D)) )  =>  (! [E] :  (m2_subset_1(E, k9_funct_2(k37_fomodel1(C), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k15_fomodel2(C, B)) =>  (! [F] :  (m2_subset_1(F, k9_funct_2(k37_fomodel1(D), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))), k15_fomodel2(D, B)) =>  ( (v16_fomodel1(D, C) &  (r1_tarski(A, k30_fomodel2(C)) & k5_relat_1(E, k37_fomodel1(C))=k5_relat_1(F, k37_fomodel1(C))) )  =>  (v10_fomodel2(A, B, C, E) <=> v10_fomodel2(A, B, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_fomodel3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  ( (v4_fomodel1(C, B) & m1_subset_1(C, k1_fomodel1(B)))  =>  (! [D] :  ( (v1_partfun1(D, A) &  (v1_relat_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (! [E] :  (m2_fomodel2(E, B, A, C) => v2_fomodel3(E, B, A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_fomodel3, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (m1_subset_1(B, k1_fomodel1(A)) & m1_subset_1(C, k3_fomodel0(k3_finseq_2(k1_fomodel1(A)), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))))) )  => m2_subset_1(k1_fomodel3(A, B, C), k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ).
fof(dt_k2_fomodel3, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & m1_subset_1(B, k1_fomodel1(A)))  =>  (v1_funct_1(k2_fomodel3(A, B)) &  (v1_funct_2(k2_fomodel3(A, B), k3_fomodel0(k3_finseq_2(k1_fomodel1(A)), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))) & m1_subset_1(k2_fomodel3(A, B), k1_zfmisc_1(k2_zfmisc_1(k3_fomodel0(k3_finseq_2(k1_fomodel1(A)), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0)))))) ) ) ) ).
fof(dt_k4_fomodel3, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v10_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A))) )  => m2_fomodel2(k4_fomodel3(A, B, C), A, k35_fomodel1(A), B)) ) ).
fof(redefinition_k4_fomodel3, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v10_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A))) )  => k4_fomodel3(A, B, C)=k3_fomodel3(A, B, C)) ) ).
fof(dt_k5_fomodel3, axiom,  (! [A, B] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (v1_relat_1(k5_fomodel3(A, B)) & v1_funct_1(k5_fomodel3(A, B))) ) ) ).
fof(dt_k6_fomodel3, axiom,  (! [A, B] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m3_fomodel2(k6_fomodel3(A, B), A, k35_fomodel1(A))) ) ).
fof(redefinition_k6_fomodel3, axiom,  (! [A, B] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k6_fomodel3(A, B)=k5_fomodel3(A, B)) ) ).
fof(dt_k7_fomodel3, axiom,  (! [A, B] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m2_subset_1(k7_fomodel3(A, B), k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(k35_fomodel1(A)), k2_xboole_0(k35_fomodel1(A), k5_margrel1))), k15_fomodel2(A, k35_fomodel1(A)))) ) ).
fof(redefinition_k7_fomodel3, axiom,  (! [A, B] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k7_fomodel3(A, B)=k5_fomodel3(A, B)) ) ).
fof(dt_k8_fomodel3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) & v7_ordinal1(D)) ) )  => m1_subset_1(k8_fomodel3(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(D, A), k4_finseq_2(D, B))))) ) ).
fof(dt_k9_fomodel3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) & v7_ordinal1(C)) )  => m1_subset_1(k9_fomodel3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(C, A), k4_finseq_2(C, A))))) ) ).
fof(dt_k10_fomodel3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (v7_ordinal1(C) & v8_ordinal1(C)) ) )  => m1_subset_1(k10_fomodel3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(C, A), k4_finseq_2(C, A))))) ) ).
fof(redefinition_k10_fomodel3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (v7_ordinal1(C) & v8_ordinal1(C)) ) )  => k10_fomodel3(A, B, C)=k9_fomodel3(A, B, C)) ) ).
fof(dt_k12_fomodel3, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_partfun1(C, A) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  &  ( (v1_partfun1(D, B) &  (v3_relat_2(D) &  (v8_relat_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  & v1_relat_1(E)) ) ) )  => m1_subset_1(k12_fomodel3(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(A, C), k8_eqrel_1(B, D))))) ) ).
fof(redefinition_k12_fomodel3, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_partfun1(C, A) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  &  ( (v1_partfun1(D, B) &  (v3_relat_2(D) &  (v8_relat_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  & v1_relat_1(E)) ) ) )  => k12_fomodel3(A, B, C, D, E)=k11_fomodel3(A, B, C, D, E)) ) ).
fof(dt_k13_fomodel3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_partfun1(B, A) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  & v7_ordinal1(C)) )  =>  (v1_partfun1(k13_fomodel3(A, B, C), k4_finseq_2(C, A)) &  (v3_relat_2(k13_fomodel3(A, B, C)) &  (v8_relat_2(k13_fomodel3(A, B, C)) & m1_subset_1(k13_fomodel3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(C, A), k4_finseq_2(C, A))))) ) ) ) ) ).
fof(redefinition_k13_fomodel3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_partfun1(B, A) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  & v7_ordinal1(C)) )  => k13_fomodel3(A, B, C)=k9_fomodel3(A, B, C)) ) ).
fof(dt_k14_fomodel3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k11_eqrel_1(A)))  => m1_subset_1(k14_fomodel3(A, B), A)) ) ).
fof(dt_k15_fomodel3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k15_fomodel3(A)) &  (v1_funct_2(k15_fomodel3(A), k11_eqrel_1(A), A) & m1_subset_1(k15_fomodel3(A), k1_zfmisc_1(k2_zfmisc_1(k11_eqrel_1(A), A)))) ) ) ) ).
fof(dt_k16_fomodel3, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_partfun1(C, A) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  &  ( (v1_partfun1(D, B) &  (v3_relat_2(D) &  (v8_relat_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  &  (v1_funct_1(E) &  (v1_funct_2(E, A, B) &  (v1_fomodel3(E, C, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ) )  =>  (v1_funct_1(k16_fomodel3(A, B, C, D, E)) &  (v1_funct_2(k16_fomodel3(A, B, C, D, E), k8_eqrel_1(A, C), k8_eqrel_1(B, D)) & m1_subset_1(k16_fomodel3(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(A, C), k8_eqrel_1(B, D))))) ) ) ) ).
fof(redefinition_k16_fomodel3, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_partfun1(C, A) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  &  ( (v1_partfun1(D, B) &  (v3_relat_2(D) &  (v8_relat_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  &  (v1_funct_1(E) &  (v1_funct_2(E, A, B) &  (v1_fomodel3(E, C, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ) )  => k16_fomodel3(A, B, C, D, E)=k11_fomodel3(A, B, C, D, E)) ) ).
fof(dt_k17_fomodel3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_partfun1(B, A) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  =>  (v1_funct_1(k17_fomodel3(A, B)) &  (v1_funct_2(k17_fomodel3(A, B), A, k8_eqrel_1(A, B)) & m1_subset_1(k17_fomodel3(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k8_eqrel_1(A, B))))) ) ) ) ).
fof(dt_k18_fomodel3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  (v1_partfun1(C, A) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) )  => m1_subset_1(k18_fomodel3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(B, k8_eqrel_1(A, C)), k8_eqrel_1(k4_finseq_2(B, A), k13_fomodel3(A, C, B)))))) ) ).
fof(dt_k19_fomodel3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  (v1_partfun1(C, A) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) )  =>  (v1_funct_1(k19_fomodel3(A, B, C)) &  (v1_funct_2(k19_fomodel3(A, B, C), k4_finseq_2(B, k8_eqrel_1(A, C)), k8_eqrel_1(k4_finseq_2(B, A), k13_fomodel3(A, C, B))) & m1_subset_1(k19_fomodel3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(B, k8_eqrel_1(A, C)), k8_eqrel_1(k4_finseq_2(B, A), k13_fomodel3(A, C, B)))))) ) ) ) ).
fof(redefinition_k19_fomodel3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  (v1_partfun1(C, A) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) )  => k19_fomodel3(A, B, C)=k18_fomodel3(A, B, C)) ) ).
fof(dt_k21_fomodel3, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  ( (v10_fomodel1(C, A) & m1_subset_1(C, k1_fomodel1(A)))  &  ( (v1_partfun1(D, B) &  (v3_relat_2(D) &  (v8_relat_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  &  (v2_fomodel3(E, A, B, C, D) & m1_fomodel2(E, A, B, C)) ) ) ) )  => m2_fomodel2(k21_fomodel3(A, B, C, D, E), A, k8_eqrel_1(B, D), C)) ) ).
fof(redefinition_k21_fomodel3, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  ( (v10_fomodel1(C, A) & m1_subset_1(C, k1_fomodel1(A)))  &  ( (v1_partfun1(D, B) &  (v3_relat_2(D) &  (v8_relat_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  &  (v2_fomodel3(E, A, B, C, D) & m1_fomodel2(E, A, B, C)) ) ) ) )  => k21_fomodel3(A, B, C, D, E)=k20_fomodel3(A, B, C, D, E)) ) ).
fof(dt_k22_fomodel3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  ( (v1_partfun1(C, B) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  &  (v1_relat_1(D) &  (v1_funct_1(D) & v1_fomodel2(D, A, B)) ) ) ) )  =>  (v1_relat_1(k22_fomodel3(A, B, C, D)) & v1_funct_1(k22_fomodel3(A, B, C, D))) ) ) ).
fof(dt_k23_fomodel3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  ( (v1_partfun1(C, B) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  &  (v1_relat_1(D) &  (v1_funct_1(D) &  (v1_fomodel2(D, A, B) & v3_fomodel3(D, A, B, C)) ) ) ) ) )  => m2_subset_1(k23_fomodel3(A, B, C, D), k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(k8_eqrel_1(B, C)), k2_xboole_0(k8_eqrel_1(B, C), k5_margrel1))), k15_fomodel2(A, k8_eqrel_1(B, C)))) ) ).
fof(redefinition_k23_fomodel3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  ( (v1_partfun1(C, B) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  &  (v1_relat_1(D) &  (v1_funct_1(D) &  (v1_fomodel2(D, A, B) & v3_fomodel3(D, A, B, C)) ) ) ) ) )  => k23_fomodel3(A, B, C, D)=k22_fomodel3(A, B, C, D)) ) ).
fof(dt_k24_fomodel3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (m1_subset_1(C, k1_fomodel1(A)) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  => m2_subset_1(k24_fomodel3(A, B, C, D), k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ).
fof(redefinition_k24_fomodel3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (m1_subset_1(C, k1_fomodel1(A)) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  => k24_fomodel3(A, B, C, D)=k17_fomodel0(B, C, D)) ) ).
fof(dt_k25_fomodel3, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v7_ordinal1(B) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  => m2_subset_1(k25_fomodel3(A, B, C), k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ).
fof(redefinition_k25_fomodel3, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v7_ordinal1(B) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  => k25_fomodel3(A, B, C)=k13_fomodel0(B, C)) ) ).
fof(dt_k26_fomodel3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  &  (m1_subset_1(C, k35_fomodel1(A)) &  (v15_fomodel1(D, A) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  =>  (v1_relat_1(k26_fomodel3(A, B, C, D)) &  (v1_funct_1(k26_fomodel3(A, B, C, D)) & v1_finseq_1(k26_fomodel3(A, B, C, D))) ) ) ) ).
fof(dt_k27_fomodel3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  &  (m1_subset_1(C, k35_fomodel1(A)) &  (v15_fomodel1(D, A) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => m2_subset_1(k27_fomodel3(A, B, C, D), k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ).
fof(redefinition_k27_fomodel3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  &  (m1_subset_1(C, k35_fomodel1(A)) &  (v15_fomodel1(D, A) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => k27_fomodel3(A, B, C, D)=k26_fomodel3(A, B, C, D)) ) ).
fof(dt_k28_fomodel3, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  &  ( (v13_fomodel1(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v7_ordinal1(D) &  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_pre_poly(E)) )  &  (v4_fomodel2(F, A) & m1_subset_1(F, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) ) ) )  =>  (v1_relat_1(k28_fomodel3(A, B, C, D, E, F)) &  (v1_funct_1(k28_fomodel3(A, B, C, D, E, F)) & v1_finseq_1(k28_fomodel3(A, B, C, D, E, F))) ) ) ) ).
fof(dt_k29_fomodel3, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  &  ( (v13_fomodel1(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v7_ordinal1(D) &  (m1_subset_1(E, k9_funct_2(k30_fomodel2(A), k30_fomodel2(A))) &  (v4_fomodel2(F, A) & m1_subset_1(F, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) ) ) )  =>  (v4_fomodel2(k29_fomodel3(A, B, C, D, E, F), A) & m2_subset_1(k29_fomodel3(A, B, C, D, E, F), k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) ).
fof(redefinition_k29_fomodel3, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  &  ( (v13_fomodel1(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v7_ordinal1(D) &  (m1_subset_1(E, k9_funct_2(k30_fomodel2(A), k30_fomodel2(A))) &  (v4_fomodel2(F, A) & m1_subset_1(F, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) ) ) )  => k29_fomodel3(A, B, C, D, E, F)=k28_fomodel3(A, B, C, D, E, F)) ) ).
fof(dt_k30_fomodel3, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  &  ( (v13_fomodel1(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (m1_subset_1(D, k4_ordinal1) &  (m1_subset_1(E, k9_funct_2(k30_fomodel2(A), k30_fomodel2(A))) &  (v4_fomodel2(F, A) & m1_subset_1(F, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) ) ) )  => m2_subset_1(k30_fomodel3(A, B, C, D, E, F), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0)), k30_fomodel2(A))) ) ).
fof(redefinition_k30_fomodel3, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  &  ( (v13_fomodel1(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (m1_subset_1(D, k4_ordinal1) &  (m1_subset_1(E, k9_funct_2(k30_fomodel2(A), k30_fomodel2(A))) &  (v4_fomodel2(F, A) & m1_subset_1(F, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) ) ) )  => k30_fomodel3(A, B, C, D, E, F)=k28_fomodel3(A, B, C, D, E, F)) ) ).
fof(dt_k31_fomodel3, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  &  ( (v13_fomodel1(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v7_ordinal1(D) & m1_subset_1(E, k9_funct_2(k30_fomodel2(A), k30_fomodel2(A)))) ) ) )  => m2_funct_2(k31_fomodel3(A, B, C, D, E), k30_fomodel2(A), k30_fomodel2(A), k9_funct_2(k30_fomodel2(A), k30_fomodel2(A)))) ) ).
fof(dt_k32_fomodel3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  &  ( (v13_fomodel1(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  & m1_subset_1(D, k9_funct_2(k30_fomodel2(A), k30_fomodel2(A)))) ) )  =>  (v1_funct_1(k32_fomodel3(A, B, C, D)) &  (v1_funct_2(k32_fomodel3(A, B, C, D), k4_ordinal1, k9_funct_2(k30_fomodel2(A), k30_fomodel2(A))) & m1_subset_1(k32_fomodel3(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_funct_2(k30_fomodel2(A), k30_fomodel2(A)))))) ) ) ) ).
fof(dt_k33_fomodel3, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  &  (v13_fomodel1(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  =>  (v1_funct_1(k33_fomodel3(A, B, C)) &  (v1_funct_2(k33_fomodel3(A, B, C), k32_fomodel1(A), k32_fomodel1(A)) & m1_subset_1(k33_fomodel3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k32_fomodel1(A), k32_fomodel1(A))))) ) ) ) ).
fof(dt_k34_fomodel3, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  &  (v13_fomodel1(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  =>  (v1_relat_1(k34_fomodel3(A, B, C)) & v1_funct_1(k34_fomodel3(A, B, C))) ) ) ).
fof(dt_k35_fomodel3, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  &  (v13_fomodel1(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => m2_funct_2(k35_fomodel3(A, B, C), k30_fomodel2(A), k3_finseq_2(k1_fomodel1(A)), k9_funct_2(k30_fomodel2(A), k3_finseq_2(k1_fomodel1(A))))) ) ).
fof(redefinition_k35_fomodel3, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  &  (v13_fomodel1(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => k35_fomodel3(A, B, C)=k34_fomodel3(A, B, C)) ) ).
fof(dt_k36_fomodel3, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  &  (v13_fomodel1(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => m2_funct_2(k36_fomodel3(A, B, C), k30_fomodel2(A), k30_fomodel2(A), k9_funct_2(k30_fomodel2(A), k30_fomodel2(A)))) ) ).
fof(redefinition_k36_fomodel3, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  &  (v13_fomodel1(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => k36_fomodel3(A, B, C)=k34_fomodel3(A, B, C)) ) ).
fof(dt_k37_fomodel3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  &  ( (v13_fomodel1(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v4_fomodel2(D, A) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  =>  (v4_fomodel2(k37_fomodel3(A, B, C, D), A) & m2_subset_1(k37_fomodel3(A, B, C, D), k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) ).
fof(d5_fomodel3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [D] :  (v7_ordinal1(D) => k8_fomodel3(A, B, C, D)=a_4_0_fomodel3(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(d8_fomodel3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_partfun1(C, A) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [D] :  ( (v1_partfun1(D, B) &  (v3_relat_2(D) &  (v8_relat_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  =>  (! [E] :  (v1_relat_1(E) => k11_fomodel3(A, B, C, D, E)=a_5_0_fomodel3(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(d20_fomodel3, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  =>  (! [C] :  ( (v13_fomodel1(C, A) & m2_subset_1(C, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_pre_poly(E)) )  =>  (! [F] :  ( (v4_fomodel2(F, A) & m2_subset_1(F, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  =>  ( (k29_fomodel2(A, F)=k1_nat_1(D, 1) =>  (v5_fomodel2(F, A) | k28_fomodel3(A, B, C, D, E, F)=k7_finseq_1(k7_finseq_1(k43_fomodel1(A, k1_fomodel2(A)), k1_funct_1(E, k37_fomodel2(A, F))), k1_funct_1(E, k38_fomodel2(A, F)))) )  &  ( ( (k29_fomodel2(A, F)=k1_nat_1(D, 1) & v5_fomodel2(F, A))  =>  (k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k15_fomodel1(A), k22_fomodel1(A), F)=B | k28_fomodel3(A, B, C, D, E, F)=k7_finseq_1(k43_fomodel1(A, o_4_1_fomodel3(A, B, C, F)), k1_funct_1(E, k24_fomodel3(A, k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k15_fomodel1(A), k22_fomodel1(A), F), o_4_1_fomodel3(A, B, C, F), k37_fomodel2(A, F))))) )  &  ~ ( ( ~ ( (k29_fomodel2(A, F)=k1_nat_1(D, 1) &  ~ (v5_fomodel2(F, A)) ) )  &  ( ~ ( (k29_fomodel2(A, F)=k1_nat_1(D, 1) &  (v5_fomodel2(F, A) &  ~ (k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k15_fomodel1(A), k22_fomodel1(A), F)=B) ) ) )  &  ~ (k28_fomodel3(A, B, C, D, E, F)=k1_funct_1(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_fomodel3, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C))) & v7_ordinal1(E)) ) )  =>  (r2_hidden(A, a_4_0_fomodel3(B, C, D, E)) <=>  (? [F, G] :  ( (m2_finseq_2(F, B, k4_finseq_2(E, B)) & m2_finseq_2(G, C, k4_finseq_2(E, C)))  &  (A=k1_domain_1(k4_finseq_2(E, B), k4_finseq_2(E, C), F, G) &  (! [H] :  (r2_tarski(H, k2_finseq_1(E)) => r2_hidden(k4_tarski(k1_funct_1(F, H), k1_funct_1(G, H)), D)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_5_0_fomodel3, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( (v1_partfun1(D, B) &  (v3_relat_2(D) &  (v8_relat_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  &  ( (v1_partfun1(E, C) &  (v3_relat_2(E) &  (v8_relat_2(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, C)))) ) )  & v1_relat_1(F)) ) ) )  =>  (r2_hidden(A, a_5_0_fomodel3(B, C, D, E, F)) <=>  (? [G, H] :  ( (m1_bvfunc_1(G, B, k8_eqrel_1(B, D)) & m1_bvfunc_1(H, C, k8_eqrel_1(C, E)))  &  (A=k1_domain_1(k8_eqrel_1(B, D), k8_eqrel_1(C, E), G, H) &  (? [I] :  (? [J] :  (r2_tarski(I, G) &  (r2_tarski(J, H) & r2_hidden(k4_tarski(I, J), F)) ) ) ) ) ) ) ) ) ) ).
fof(dt_o_4_1_fomodel3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  &  ( (v13_fomodel1(C, A) & m2_subset_1(C, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v4_fomodel2(D, A) & m2_subset_1(D, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => m2_subset_1(o_4_1_fomodel3(A, B, C, D), k15_fomodel1(A), k7_subset_1(k15_fomodel1(A), k16_fomodel1(A), k2_xboole_0(k2_xboole_0(k10_xtuple_0(C), k10_xtuple_0(k37_fomodel2(A, D))), k6_domain_1(k1_fomodel1(A), B))))) ) ).
fof(fc1_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  ~ (v1_xboole_0(k1_fomodel4(A))) ) ) ).
fof(fc2_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v1_relat_1(k1_fomodel4(A))) ) ).
fof(cc1_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_fomodel4(A))) => v2_fomodel4(B, A)) ) ) ) ).
fof(cc2_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_fomodel4(A)) => v1_fomodel4(B, A)) ) ) ) ).
fof(rc1_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_fomodel4(A)) &  (v1_xtuple_0(B) & v1_fomodel4(B, A)) ) ) ) ) ).
fof(rc2_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_fomodel4(A))) &  (v1_relat_1(B) & v2_fomodel4(B, A)) ) ) ) ) ).
fof(rc3_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] : v1_fomodel4(B, A)) ) ) ).
fof(rc4_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] : v2_fomodel4(B, A)) ) ) ).
fof(fc3_fomodel4, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & v1_fomodel4(B, A))  => v2_fomodel4(k1_tarski(B), A)) ) ).
fof(fc4_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v2_fomodel4(B, A) & v2_fomodel4(C, A)) )  => v2_fomodel4(k2_xboole_0(B, C), A)) ) ).
fof(fc5_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v1_fomodel4(B, A) & v1_fomodel4(C, A)) )  => v2_fomodel4(k2_tarski(B, C), A)) ) ).
fof(fc6_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(k30_fomodel2(A))))  &  (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(k30_fomodel2(A)))) ) ) )  => v1_fomodel4(k4_tarski(k4_subset_1(k30_fomodel2(A), C, D), B), A)) ) ).
fof(fc7_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v2_fomodel4(k3_xboole_0(k1_xboole_0, A), A)) ) ).
fof(fc8_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v2_fomodel4(k13_fomodel0(A, k1_xboole_0), A)) ) ).
fof(fc9_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & v2_fomodel4(C, A))  => v2_fomodel4(k3_xboole_0(C, B), A)) ) ).
fof(fc10_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k30_fomodel2(A))))  &  (v4_fomodel2(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => v1_fomodel4(k4_tarski(B, C), A)) ) ).
fof(fc11_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v4_fomodel2(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => v1_fomodel4(k4_tarski(k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), B), C), A)) ) ).
fof(fc12_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  ( (v4_fomodel2(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v4_fomodel2(D, A) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => v1_fomodel4(k4_tarski(k7_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), B, C), D), A)) ) ).
fof(fc13_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  ( (v4_fomodel2(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(k30_fomodel2(A)))) ) ) )  => v1_fomodel4(k4_tarski(k2_xboole_0(D, k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), B)), C), A)) ) ).
fof(cc3_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (v3_fomodel4(B, A) => v1_finset_1(B)) ) ) ) ).
fof(fc14_fomodel4, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  => v3_fomodel4(k1_tarski(B), A)) ) ).
fof(fc15_fomodel4, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & v1_xboole_0(B))  => v3_fomodel4(k13_fomodel0(A, B), A)) ) ).
fof(rc5_fomodel4, axiom,  (! [A, B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) & v3_fomodel4(C, B)) ) ) ) ).
fof(rc6_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] : v3_fomodel4(B, A)) ) ) ).
fof(cc4_fomodel4, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & v3_fomodel4(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => v3_fomodel4(C, A)) ) ) ) ).
fof(fc16_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & v3_fomodel4(B, A))  => v3_fomodel4(k13_fomodel0(C, B), A)) ) ).
fof(fc17_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v3_fomodel4(B, A) & v3_fomodel4(C, A)) )  => v3_fomodel4(k2_xboole_0(B, C), A)) ) ).
fof(fc18_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v3_fomodel4(B, A) &  (v4_fomodel2(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => v1_fomodel4(k4_tarski(B, C), A)) ) ).
fof(rc7_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] :  (m1_subset_1(B, k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k9_setfam_1(k1_fomodel4(A))) &  (v5_relat_1(B, k9_setfam_1(k1_fomodel4(A))) &  (v1_funct_1(B) &  (v1_partfun1(B, k9_setfam_1(k1_fomodel4(A))) &  (v1_funct_2(B, k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))) & v6_fomodel4(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(fc19_fomodel4, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v6_fomodel4(B, A) & m1_subset_1(B, k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) )  => v7_fomodel4(k1_tarski(B), A)) ) ).
fof(rc8_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) &  (v4_funct_1(B) & v7_fomodel4(B, A)) ) ) ) ) ).
fof(cc5_fomodel4, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))))  =>  (! [C] :  (v8_fomodel4(C, A, B) => v4_fomodel4(C, A, B, k1_xboole_0)) ) ) ) ).
fof(cc6_fomodel4, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))))  =>  (! [C] :  (v4_fomodel4(C, A, B, k1_xboole_0) => v8_fomodel4(C, A, B)) ) ) ) ).
fof(cc7_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) & v1_xboole_0(C)) )  =>  (! [D] :  (v4_fomodel4(D, A, B, C) => v8_fomodel4(D, A, B)) ) ) ) ).
fof(cc8_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))))  =>  (! [E] :  (v9_fomodel4(E, A, B, k6_subset_1(C, D)) => v9_fomodel4(E, A, B, C)) ) ) ) ).
fof(cc9_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))))  =>  (! [E] :  (v9_fomodel4(E, A, B, k6_subset_1(C, D)) => v9_fomodel4(E, A, B, k2_xboole_0(C, D))) ) ) ) ).
fof(cc10_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))))  =>  (! [E] :  (v9_fomodel4(E, A, B, k3_xboole_0(C, D)) => v9_fomodel4(E, A, B, C)) ) ) ) ).
fof(cc11_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) & m1_subset_1(D, k1_zfmisc_1(C))) )  =>  (! [E] :  (v9_fomodel4(E, A, B, D) => v9_fomodel4(E, A, B, C)) ) ) ) ).
fof(cc12_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (v1_fomodel4(B, A) => v12_fomodel4(B, A)) ) ) ) ).
fof(rc9_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] : v12_fomodel4(B, A)) ) ) ).
fof(cc13_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (v1_fomodel4(B, A) => v12_fomodel4(B, A)) ) ) ) ).
fof(cc14_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_fomodel4(A)) => v12_fomodel4(B, A)) ) ) ) ).
fof(fc20_fomodel4, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  & m1_subset_1(C, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)), k9_setfam_1(k1_fomodel4(B)))))) )  => v2_fomodel4(k1_funct_1(k5_fomodel4(B, C, A), D), B)) ) ).
fof(cc15_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) & v7_ordinal1(C)) )  =>  (! [E] :  (v5_fomodel4(E, C, A, B, D) => v1_fomodel4(E, A)) ) ) ) ).
fof(rc10_fomodel4, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))))  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k30_fomodel2(A))) &  ( ~ (v10_ordinal1(C))  &  (v4_funct_1(C) &  (v5_finset_1(C) &  (v3_finseq_1(C) &  (v1_setfam_1(C) & v11_fomodel4(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(rc11_fomodel4, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))))  =>  (? [C] : v11_fomodel4(C, A, B)) ) ) ).
fof(cc16_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))))  =>  (! [D] :  (v4_fomodel4(D, A, B, C) => v2_fomodel4(D, A)) ) ) ) ).
fof(fc21_fomodel4, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v13_fomodel1(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  => v8_fomodel4(k1_tarski(k9_fomodel4(A, k1_xboole_0, k42_fomodel1(A, k42_fomodel1(A, k43_fomodel1(A, k31_fomodel2(A)), B), B))), A, k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k26_fomodel4(A)))) ) ).
fof(fc22_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v6_fomodel4(k25_fomodel4(A), A)) ) ).
fof(fc23_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v6_fomodel4(k26_fomodel4(A), A)) ) ).
fof(fc24_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v6_fomodel4(k28_fomodel4(A), A)) ) ).
fof(fc25_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(k30_fomodel2(A)))) ) )  => v5_fomodel4(k4_tarski(k2_xboole_0(C, k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), B)), B), 1, A, k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k24_fomodel4(A)), k1_xboole_0)) ) ).
fof(fc26_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v4_fomodel2(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => v5_fomodel4(k4_tarski(k7_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), B, C), B), 1, A, k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k24_fomodel4(A)), k1_xboole_0)) ) ).
fof(fc27_fomodel4, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  => v5_fomodel4(k4_tarski(k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), B), B), 1, A, k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k24_fomodel4(A)), k1_xboole_0)) ) ).
fof(fc28_fomodel4, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  => v4_fomodel4(k1_tarski(k1_domain_1(k1_zfmisc_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), B), B)), A, k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k24_fomodel4(A)), k1_xboole_0)) ) ).
fof(fc29_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v6_fomodel4(k24_fomodel4(A), A)) ) ).
fof(fc30_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v6_fomodel4(k27_fomodel4(A), A)) ) ).
fof(fc31_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v6_fomodel4(k29_fomodel4(A), A)) ) ).
fof(fc32_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v6_fomodel4(k30_fomodel4(A), A)) ) ).
fof(fc33_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v7_fomodel4(B, A) & m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))))  &  (v7_fomodel4(C, A) & m1_subset_1(C, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)))))) ) )  => v7_fomodel4(k2_xboole_0(B, C), A)) ) ).
fof(fc34_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v6_fomodel4(k33_fomodel4(A), A)) ) ).
fof(fc35_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v6_fomodel4(k35_fomodel4(A), A)) ) ).
fof(fc36_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v6_fomodel4(k34_fomodel4(A), A)) ) ).
fof(fc37_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v13_fomodel1(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  ( (v13_fomodel1(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v13_fomodel1(D, A) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => v5_fomodel4(k4_tarski(k7_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k42_fomodel1(A, k42_fomodel1(A, k43_fomodel1(A, k31_fomodel2(A)), B), C), k42_fomodel1(A, k42_fomodel1(A, k43_fomodel1(A, k31_fomodel2(A)), C), D)), k42_fomodel1(A, k42_fomodel1(A, k43_fomodel1(A, k31_fomodel2(A)), B), D)), 1, A, k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k27_fomodel4(A)), k1_xboole_0)) ) ).
fof(fc38_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v3_fomodel4(B, A) &  (v3_fomodel4(C, A) &  (v4_fomodel2(D, A) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => v5_fomodel4(k4_tarski(k2_xboole_0(B, C), D), 1, A, k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k25_fomodel4(A)), k1_tarski(k4_tarski(B, D)))) ) ).
fof(fc39_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v3_fomodel4(B, A) &  (v4_fomodel2(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => v5_fomodel4(k4_tarski(k2_xboole_0(B, k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), C)), C), 1, A, k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k24_fomodel4(A)), k1_xboole_0)) ) ).
fof(fc40_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v3_fomodel4(B, A) &  ( (v4_fomodel2(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v4_fomodel2(D, A) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => v5_fomodel4(k4_tarski(B, k42_fomodel1(A, k42_fomodel1(A, k43_fomodel1(A, k1_fomodel2(A)), D), C)), 1, A, k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k34_fomodel4(A)), k1_tarski(k4_tarski(B, k42_fomodel1(A, k42_fomodel1(A, k43_fomodel1(A, k1_fomodel2(A)), C), D))))) ) ).
fof(fc41_fomodel4, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & v1_fomodel4(B, A))  => v3_fomodel4(k1_xtuple_0(B), A)) ) ).
fof(fc42_fomodel4, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  ( (v4_fomodel2(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  ( (v4_fomodel1(D, A) & m1_subset_1(D, k1_fomodel1(A)))  &  (v3_fomodel4(E, A) &  (v4_fomodel1(F, A) &  ( ~ (v7_fomodel2(F, k2_xboole_0(k2_xboole_0(E, k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), B)), k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), C)), A))  & m1_subset_1(F, k1_fomodel1(A))) ) ) ) ) ) )  => v5_fomodel4(k4_tarski(k13_fomodel0(F, k2_xboole_0(E, k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k42_fomodel1(A, k43_fomodel1(A, D), B)))), C), 1, A, k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k32_fomodel4(A)), k1_tarski(k4_tarski(k2_xboole_0(E, k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k24_fomodel3(A, D, F, B))), C)))) ) ).
fof(fc43_fomodel4, axiom,  (! [A, B, C, D, E] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  &  (v3_fomodel4(C, B) &  (v3_fomodel4(D, B) &  (v4_fomodel2(E, B) & m1_subset_1(E, k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)))) ) ) ) )  => v5_fomodel4(k4_tarski(k13_fomodel0(A, k2_xboole_0(C, D)), E), A, B, k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)), k9_setfam_1(k1_fomodel4(B))), k25_fomodel4(B)), k1_tarski(k4_tarski(C, E)))) ) ).
fof(rc12_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) &  ( ~ (v1_xboole_0(B))  &  (v4_funct_1(B) & v7_fomodel4(B, A)) ) ) ) ) ) ).
fof(fc44_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v6_fomodel4(k32_fomodel4(A), A)) ) ).
fof(fc45_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  &  ( (v13_fomodel1(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v4_fomodel2(D, A) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => v5_fomodel4(k4_tarski(k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k37_fomodel3(A, B, C, D)), k42_fomodel1(A, k43_fomodel1(A, B), D)), 1, A, k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k31_fomodel4(A)), k1_xboole_0)) ) ).
fof(fc46_fomodel4, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v3_fomodel4(B, A) &  ( (v4_fomodel2(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  ( (v4_fomodel2(D, A) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v4_fomodel2(E, A) & m1_subset_1(E, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) ) )  => v5_fomodel4(k4_tarski(k13_fomodel0(k42_fomodel1(A, D, E), B), k35_fomodel2(A, C)), 1, A, k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k35_fomodel4(A)), k2_tarski(k4_tarski(k2_xboole_0(B, k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), C)), D), k4_tarski(k2_xboole_0(B, k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), C)), k42_fomodel1(A, k42_fomodel1(A, k43_fomodel1(A, k1_fomodel2(A)), D), E))))) ) ).
fof(fc47_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v6_fomodel4(k31_fomodel4(A), A)) ) ).
fof(fc48_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  &  ( (v3_card_1(C, B) & m1_subset_1(C, k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k35_fomodel1(A))))  &  (v3_card_1(D, B) & m1_subset_1(D, k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k35_fomodel1(A)))) ) ) )  => v1_finset_1(k37_fomodel4(A, B, C, D))) ) ).
fof(fc49_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v7_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  &  ( (v3_card_1(C, k1_int_2(k19_fomodel1(A, B))) & m1_subset_1(C, k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k35_fomodel1(A))))  &  (v3_card_1(D, k1_int_2(k19_fomodel1(A, B))) & m1_subset_1(D, k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k35_fomodel1(A)))) ) ) )  => v4_fomodel4(k1_tarski(k4_tarski(k2_xboole_0(k38_fomodel4(A, k1_int_2(k19_fomodel1(A, B)), C, D), k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k1_fomodel3(A, B, C))), k1_fomodel3(A, B, D))), A, k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k30_fomodel4(A)), k1_xboole_0)) ) ).
fof(cc17_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) =>  (v13_fomodel4(B, 1, A) => v13_fomodel4(B, k5_numbers, A)) ) ) ) ) ).
fof(cc18_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) =>  (v13_fomodel4(B, 2, A) => v13_fomodel4(B, 1, A)) ) ) ) ) ).
fof(fc50_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v13_fomodel4(k39_fomodel4(A), 2, A)) ) ).
fof(rc13_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) &  (v4_funct_1(B) & v13_fomodel4(B, 2, A)) ) ) ) ) ).
fof(rc14_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) &  (v4_funct_1(B) & v13_fomodel4(B, 1, A)) ) ) ) ) ).
fof(rc15_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) &  (v4_funct_1(B) & v13_fomodel4(B, k5_numbers, A)) ) ) ) ) ).
fof(fc51_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v13_fomodel4(B, 1, A) & m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))))  &  (v11_fomodel4(C, A, B) &  (v10_fomodel1(D, A) & m1_subset_1(D, k1_fomodel1(A))) ) ) )  => v2_fomodel3(k3_fomodel3(A, D, C), A, k35_fomodel1(A), D, k8_fomodel4(A, B, C))) ) ).
fof(fc52_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v13_fomodel4(B, k5_numbers, A) & m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))))  & v11_fomodel4(C, A, B)) )  =>  (v1_partfun1(k7_fomodel4(A, B, C), k35_fomodel1(A)) &  (v3_relat_2(k7_fomodel4(A, B, C)) & v8_relat_2(k7_fomodel4(A, B, C))) ) ) ) ).
fof(rc16_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) &  (v4_funct_1(B) &  (v13_fomodel4(B, k5_numbers, A) & v13_fomodel4(B, 1, A)) ) ) ) ) ) ).
fof(fc53_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v3_fomodel4(B, A) &  ( (v4_fomodel2(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v4_fomodel2(D, A) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => v5_fomodel4(k4_tarski(k13_fomodel0(D, B), k35_fomodel2(A, C)), 2, A, k4_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k4_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k24_fomodel4(A)), k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k25_fomodel4(A))), k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k35_fomodel4(A))), k1_tarski(k4_tarski(B, k42_fomodel1(A, k42_fomodel1(A, k43_fomodel1(A, k1_fomodel2(A)), C), D))))) ) ).
fof(fc54_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v3_fomodel4(B, A) &  ( (v4_fomodel2(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v4_fomodel2(D, A) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => v5_fomodel4(k4_tarski(k13_fomodel0(C, B), k35_fomodel2(A, D)), 3, A, k4_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k4_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k4_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k24_fomodel4(A)), k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k25_fomodel4(A))), k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k35_fomodel4(A))), k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k34_fomodel4(A))), k1_tarski(k4_tarski(B, k42_fomodel1(A, k42_fomodel1(A, k43_fomodel1(A, k1_fomodel2(A)), C), D))))) ) ).
fof(fc55_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v4_fomodel2(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => v5_fomodel4(k4_tarski(k7_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k35_fomodel2(A, B), k35_fomodel2(A, C)), k42_fomodel1(A, k42_fomodel1(A, k43_fomodel1(A, k1_fomodel2(A)), B), C)), 1, A, k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k33_fomodel4(A)), k5_lang1(k1_zfmisc_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k1_domain_1(k1_zfmisc_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k7_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k35_fomodel2(A, B), k35_fomodel2(A, C)), k35_fomodel2(A, B)), k1_domain_1(k1_zfmisc_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k7_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k35_fomodel2(A, B), k35_fomodel2(A, C)), k35_fomodel2(A, C))))) ) ).
fof(fc56_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v4_fomodel2(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => v5_fomodel4(k4_tarski(k7_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), B, C), C), 1, A, k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k24_fomodel4(A)), k1_xboole_0)) ) ).
fof(fc57_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v13_fomodel4(B, k5_numbers, A) &  (v13_fomodel4(B, 1, A) & m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)))))) )  & v11_fomodel4(C, A, B)) )  =>  (v1_relat_1(k5_fomodel3(A, C)) &  (v1_funct_1(k5_fomodel3(A, C)) &  (v1_fomodel2(k5_fomodel3(A, C), A, k35_fomodel1(A)) & v3_fomodel3(k5_fomodel3(A, C), A, k35_fomodel1(A), k8_fomodel4(A, B, C))) ) ) ) ) ).
fof(fc58_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v13_fomodel4(B, k5_numbers, A) & m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))))  & v11_fomodel4(C, A, B)) )  =>  (v1_relat_1(k40_fomodel4(A, B, C)) &  (v4_relat_1(k40_fomodel4(A, B, C), k37_fomodel1(A)) & v1_funct_1(k40_fomodel4(A, B, C))) ) ) ) ).
fof(fc59_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v13_fomodel4(B, k5_numbers, A) &  (v13_fomodel4(B, 1, A) & m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)))))) )  & v11_fomodel4(C, A, B)) )  =>  (v1_relat_1(k40_fomodel4(A, B, C)) &  (v1_funct_1(k40_fomodel4(A, B, C)) & v1_fomodel2(k40_fomodel4(A, B, C), A, k8_eqrel_1(k35_fomodel1(A), k8_fomodel4(A, B, C)))) ) ) ) ).
fof(fc60_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v4_fomodel2(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => v9_fomodel4(k7_finseq_1(k42_fomodel1(A, k43_fomodel1(A, k1_fomodel2(A)), B), C), A, k4_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k24_fomodel4(A)), k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k33_fomodel4(A))), k7_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k35_fomodel2(A, B), k35_fomodel2(A, C)))) ) ).
fof(cc19_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) =>  (v13_fomodel4(B, k5_numbers, A) =>  ( ~ (v1_xboole_0(B))  & v13_fomodel4(B, k5_numbers, A)) ) ) ) ) ) ).
fof(fc61_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) &  (v4_funct_1(C) & m1_subset_1(D, k40_fomodel2(A))) ) )  => v1_xboole_0(k4_xboole_0(C, k42_fomodel4(A, B, C, D)))) ) ).
fof(fc62_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) &  (v4_funct_1(C) & m1_subset_1(D, k40_fomodel2(A))) ) )  => v1_zfmisc_1(k4_xboole_0(k42_fomodel4(A, B, C, D), C))) ) ).
fof(fc63_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v13_fomodel1(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v13_fomodel1(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => v1_xboole_0(k5_xboole_0(k34_fomodel1(A, k42_fomodel1(A, k42_fomodel1(A, k43_fomodel1(A, k31_fomodel2(A)), B), C)), k10_finseq_1(B, C)))) ) ).
fof(fc64_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v16_fomodel4(k24_fomodel4(A), A)) ) ).
fof(rc17_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] :  (m1_subset_1(B, k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k9_setfam_1(k1_fomodel4(A))) &  (v5_relat_1(B, k9_setfam_1(k1_fomodel4(A))) &  (v1_funct_1(B) &  (v1_partfun1(B, k9_setfam_1(k1_fomodel4(A))) &  (v1_funct_2(B, k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))) & v16_fomodel4(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(fc65_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v16_fomodel4(k25_fomodel4(A), A)) ) ).
fof(fc66_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v16_fomodel4(k26_fomodel4(A), A)) ) ).
fof(fc67_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v16_fomodel4(k27_fomodel4(A), A)) ) ).
fof(fc68_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v16_fomodel4(k28_fomodel4(A), A)) ) ).
fof(fc69_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v16_fomodel4(k29_fomodel4(A), A)) ) ).
fof(fc70_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v16_fomodel4(k30_fomodel4(A), A)) ) ).
fof(fc71_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v16_fomodel4(k31_fomodel4(A), A)) ) ).
fof(fc72_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v16_fomodel4(k32_fomodel4(A), A)) ) ).
fof(fc73_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v16_fomodel4(k33_fomodel4(A), A)) ) ).
fof(fc74_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v16_fomodel4(k34_fomodel4(A), A)) ) ).
fof(fc75_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v16_fomodel4(k35_fomodel4(A), A)) ) ).
fof(fc76_fomodel4, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v16_fomodel4(B, A) & m1_subset_1(B, k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) )  => v15_fomodel4(k1_tarski(B), A)) ) ).
fof(fc77_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v15_fomodel4(k39_fomodel4(A), A)) ) ).
fof(fc78_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v6_fomodel4(k36_fomodel4(A), A)) ) ).
fof(fc79_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v3_fomodel4(B, A) &  (v4_fomodel2(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => v5_fomodel4(k13_fomodel0(1, k4_tarski(B, C)), 1, A, k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k36_fomodel4(A)), k1_tarski(k4_tarski(B, k35_fomodel2(A, k35_fomodel2(A, C)))))) ) ).
fof(rc18_fomodel4, axiom,  (! [A, B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (? [C] :  (m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))) &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, k17_fomodel1(B)) &  ( ~ (v1_xboole_0(C))  &  ( ~ (v8_ordinal1(C))  &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_finseq_1(C) &  (v2_finseq_1(C) &  (v4_card_3(C) &  (v2_pre_poly(C) &  (v15_fomodel1(C, B) &  (v3_fomodel2(C, B, k5_numbers) &  (v4_fomodel2(C, B) & v13_fomodel2(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc19_fomodel4, axiom,  (! [A, B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (? [C] :  (m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))) &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  ( ~ (v1_xboole_0(C))  &  ( ~ (v8_ordinal1(C))  &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_finseq_1(C) &  (v2_finseq_1(C) &  (v4_card_3(C) &  (v2_pre_poly(C) &  (v4_fomodel2(C, B) & v13_fomodel2(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc80_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v4_fomodel2(C, A) &  (v13_fomodel2(C, B, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  =>  (v4_fomodel2(k35_fomodel2(A, k35_fomodel2(A, C)), A) & v13_fomodel2(k35_fomodel2(A, k35_fomodel2(A, C)), B, A)) ) ) ).
fof(fc81_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v6_fomodel4(B, A) & m1_subset_1(B, k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)))))  &  (v6_fomodel4(C, A) & m1_subset_1(C, k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) ) )  => v7_fomodel4(k2_tarski(B, C), A)) ) ).
fof(fc82_fomodel4, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v6_fomodel4(B, A) & m1_subset_1(B, k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)))))  &  ( (v6_fomodel4(C, A) & m1_subset_1(C, k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)))))  &  ( (v6_fomodel4(D, A) & m1_subset_1(D, k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)))))  &  (v6_fomodel4(E, A) & m1_subset_1(E, k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) ) ) ) )  => v7_fomodel4(k2_enumset1(B, C, D, E), A)) ) ).
fof(fc83_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v7_fomodel4(k39_fomodel4(A), A)) ) ).
fof(rc20_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) &  (v4_funct_1(B) &  (v7_fomodel4(B, A) & v15_fomodel4(B, A)) ) ) ) ) ) ).
fof(rc21_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) &  (v4_funct_1(B) &  (v7_fomodel4(B, A) &  (v13_fomodel4(B, 2, A) & v15_fomodel4(B, A)) ) ) ) ) ) ) ).
fof(fc84_fomodel4, axiom,  (! [A, B, C, D] :  ( (v4_funct_1(A) &  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)), k9_setfam_1(k1_fomodel4(B))))) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k40_fomodel2(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k40_fomodel2(B))))) ) ) ) )  => v1_xboole_0(k4_xboole_0(A, k45_fomodel4(A, B, C, D)))) ) ).
fof(fc85_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)), k9_setfam_1(k1_fomodel4(B))))) & m1_subset_1(D, k30_fomodel2(B))) )  => v1_xboole_0(k4_xboole_0(A, k47_fomodel4(A, B, C, D)))) ) ).
fof(fc86_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)), k9_setfam_1(k1_fomodel4(B))))) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k30_fomodel2(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k30_fomodel2(B))))) ) ) )  => v1_xboole_0(k4_xboole_0(A, k49_fomodel4(A, B, C, D)))) ) ).
fof(fc87_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (v1_relat_1(k50_fomodel4(A)) &  (v1_funct_1(k50_fomodel4(A)) & v2_funct_1(k50_fomodel4(A))) ) ) ) ).
fof(d2_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (v1_fomodel4(B, A) <=> r2_hidden(B, k1_fomodel4(A))) ) ) ) ).
fof(d3_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (v2_fomodel4(B, A) <=> r1_tarski(B, k1_fomodel4(A))) ) ) ) ).
fof(d4_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (v3_fomodel4(B, A) <=>  (r1_tarski(B, k30_fomodel2(A)) & v1_finset_1(B)) ) ) ) ) ).
fof(d5_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) =>  (! [C] :  (m2_funct_2(C, k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)), k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)))) =>  (C=k4_fomodel4(A, B) <=>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))) => k3_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)), C, D)=k3_tarski(k7_relat_1(k3_tarski(B), k6_domain_1(k9_setfam_1(k1_fomodel4(A)), D)))) ) ) ) ) ) ) ) ) ).
fof(d6_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) =>  (! [C] :  (v7_ordinal1(C) => k5_fomodel4(A, B, C)=k8_funct_7(k4_fomodel4(A, B), C)) ) ) ) ) ) ).
fof(d7_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) =>  (! [C] :  (! [D] :  (v4_fomodel4(D, A, B, C) <=> r1_tarski(D, k5_setfam_1(k1_fomodel4(A), k7_relset_1(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)), k13_lang1(k9_setfam_1(k1_fomodel4(A)), k4_fomodel4(A, B)), k1_tarski(C))))) ) ) ) ) ) ) ).
fof(d8_fomodel4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)), k9_setfam_1(k1_fomodel4(B))))) =>  (! [D] :  (! [E] :  (v5_fomodel4(E, A, B, C, D) <=> r2_hidden(E, k1_funct_1(k5_fomodel4(B, C, A), D))) ) ) ) ) ) ) ) ) ).
fof(d10_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m2_funct_2(B, k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)), k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)))) =>  (v6_fomodel4(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_fomodel4(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_fomodel4(A))) =>  (r1_tarski(C, D) => r1_tarski(k3_funct_2(k1_zfmisc_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)), B, C), k3_funct_2(k1_zfmisc_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)), B, D))) ) ) ) ) ) ) ) ) ) ).
fof(d11_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) =>  (v7_fomodel4(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_fomodel4(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_fomodel4(A))) =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  ~ ( (r1_tarski(C, D) &  (r2_tarski(E, B) &  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  ~ ( (r2_tarski(F, B) & r1_tarski(k1_funct_1(E, C), k1_funct_1(F, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) =>  (! [C] :  (v8_fomodel4(C, A, B) <=> v4_fomodel4(C, A, B, k1_xboole_0)) ) ) ) ) ) ).
fof(d13_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) =>  (! [C] :  (! [D] :  (v9_fomodel4(D, A, B, C) <=>  ~ ( ( ~ (v8_fomodel4(k1_tarski(k4_tarski(C, D)), A, B))  &  (! [E] :  ~ ( (r1_tarski(k1_xfamily(E), C) &  (k2_xfamily(E)=D & v8_fomodel4(k1_tarski(E), A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) =>  (! [C] :  (! [D] :  (v9_fomodel4(D, A, B, C) <=>  (? [E] :  (r1_tarski(k1_xfamily(E), C) &  (k2_xfamily(E)=D & v8_fomodel4(k1_tarski(E), A, B)) ) ) ) ) ) ) ) ) ) ).
fof(d15_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) =>  (! [C] :  (v10_fomodel4(C, A, B) <=>  (? [D] :  ( (v4_fomodel2(D, A) & m2_subset_1(D, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (? [E] :  ( (v4_fomodel2(E, A) & m2_subset_1(E, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v9_fomodel4(D, A, B, C) & v9_fomodel4(k42_fomodel1(A, k42_fomodel1(A, k43_fomodel1(A, k1_fomodel2(A)), D), E), A, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) =>  (! [C] :  (v11_fomodel4(C, A, B) <=>  (! [D] :  (v9_fomodel4(D, A, B, C) => r1_tarski(k1_tarski(D), C)) ) ) ) ) ) ) ) ).
fof(d18_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) =>  (! [C] :  (v11_fomodel4(C, A, B) <=>  (! [D] :  (v9_fomodel4(D, A, B, C) => r2_tarski(D, C)) ) ) ) ) ) ) ) ).
fof(d19_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] : v12_fomodel4(B, A)) ) ) ).
fof(d20_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) =>  (! [C] :  (! [D] :  (v9_fomodel4(D, A, B, C) <=>  (? [E] :  (? [F] :  (v7_ordinal1(F) &  (r1_tarski(E, C) & v5_fomodel4(k4_tarski(E, D), F, A, B, k1_xboole_0)) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_fomodel4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)), k9_setfam_1(k1_fomodel4(B))))) =>  (! [D] :  (v2_fomodel4(D, B) =>  ~ ( (v4_fomodel4(k1_tarski(A), B, C, D) &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ~ (v5_fomodel4(A, E, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_fomodel4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  (! [D] :  ( ( ~ (v6_struct_0(D))  &  (v11_fomodel1(D) & l1_fomodel1(D)) )  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(D)), k9_setfam_1(k1_fomodel4(D))))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(D)), k9_setfam_1(k1_fomodel4(D))))) =>  ( (r1_tarski(E, F) & v5_fomodel4(C, A, D, E, B))  =>  ( ( ~ (v7_fomodel4(F, D))  &  ~ (v7_fomodel4(E, D)) )  | v5_fomodel4(C, A, D, F, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d21_fomodel4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  (v12_fomodel4(C, B) =>  (r1_fomodel4(A, B, C) <=> r2_tarski(k2_xfamily(C), k1_xfamily(C))) ) ) ) ) ) ).
fof(d22_fomodel4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  (v12_fomodel4(C, B) =>  (r2_fomodel4(A, B, C) <=>  (? [D] :  (r2_tarski(D, A) &  (r1_tarski(k1_xfamily(D), k1_xfamily(C)) & k2_xfamily(C)=k2_xfamily(D)) ) ) ) ) ) ) ) ) ).
fof(d23_fomodel4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  (v12_fomodel4(C, B) =>  (r3_fomodel4(A, B, C) <=>  (v1_xboole_0(k1_xfamily(C)) &  (? [D] :  ( (v13_fomodel1(D, B) & m2_subset_1(D, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  & k2_xfamily(C)=k42_fomodel1(B, k42_fomodel1(B, k43_fomodel1(B, k31_fomodel2(B)), D), D)) ) ) ) ) ) ) ) ) ).
fof(d24_fomodel4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  (v12_fomodel4(C, B) =>  (r4_fomodel4(A, B, C) <=>  (? [D] :  ( (v13_fomodel1(D, B) & m2_subset_1(D, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  &  (? [E] :  ( (v13_fomodel1(E, B) & m2_subset_1(E, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  &  (? [F] :  ( (v13_fomodel1(F, B) & m2_subset_1(F, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  & C=k1_domain_1(k1_zfmisc_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)), k7_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)), k42_fomodel1(B, k42_fomodel1(B, k43_fomodel1(B, k31_fomodel2(B)), D), E), k42_fomodel1(B, k42_fomodel1(B, k43_fomodel1(B, k31_fomodel2(B)), E), F)), k42_fomodel1(B, k42_fomodel1(B, k43_fomodel1(B, k31_fomodel2(B)), D), F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d25_fomodel4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  (v12_fomodel4(C, B) =>  (r5_fomodel4(A, B, C) <=>  (? [D] :  ( (v13_fomodel1(D, B) & m2_subset_1(D, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  &  (? [E] :  ( (v13_fomodel1(E, B) & m2_subset_1(E, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  &  (k1_xfamily(C)=k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)), k42_fomodel1(B, k42_fomodel1(B, k43_fomodel1(B, k31_fomodel2(B)), D), E)) & k2_xfamily(C)=k42_fomodel1(B, k42_fomodel1(B, k43_fomodel1(B, k31_fomodel2(B)), E), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d28_fomodel4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  (v12_fomodel4(C, B) =>  (r8_fomodel4(A, B, C) <=>  (? [D] :  ( (v4_fomodel1(D, B) & m1_subset_1(D, k1_fomodel1(B)))  &  (? [E] :  ( (v4_fomodel2(E, B) & m2_subset_1(E, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  &  (? [F] :  ( (v13_fomodel1(F, B) & m2_subset_1(F, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  &  (k1_xfamily(C)=k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)), k37_fomodel3(B, D, F, E)) & k2_xfamily(C)=k42_fomodel1(B, k43_fomodel1(B, D), E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d29_fomodel4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  (v12_fomodel4(C, B) =>  (r9_fomodel4(A, B, C) <=>  (? [D] :  ( (v4_fomodel1(D, B) & m1_subset_1(D, k1_fomodel1(B)))  &  (? [E] :  ( (v4_fomodel1(E, B) & m1_subset_1(E, k1_fomodel1(B)))  &  (? [F] :  (? [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) & v1_finseq_1(G)) )  &  (k1_xfamily(C)=k2_xboole_0(F, k1_tarski(k7_finseq_1(k43_fomodel1(B, D), G))) &  ( ~ (v7_fomodel2(E, k2_xboole_0(k2_xboole_0(F, k1_tarski(G)), k1_tarski(k2_xfamily(C))), B))  & r2_hidden(k4_tarski(k2_xboole_0(F, k1_tarski(k1_funct_1(k20_fomodel0(k1_fomodel1(B), D, E), G))), k2_xfamily(C)), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d30_fomodel4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  (v12_fomodel4(C, B) =>  (r10_fomodel4(A, B, C) <=>  (? [D] :  (? [E] :  (? [F] :  ( (v4_fomodel2(F, B) & m2_subset_1(F, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  &  (? [G] :  ( (v4_fomodel2(G, B) & m2_subset_1(G, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  &  (r2_tarski(D, A) &  (r2_tarski(E, A) &  (k1_xfamily(D)=k1_xfamily(E) &  (k1_xfamily(E)=k1_xfamily(C) &  (k2_xfamily(D)=k42_fomodel1(B, k42_fomodel1(B, k43_fomodel1(B, k1_fomodel2(B)), F), F) &  (k2_xfamily(E)=k42_fomodel1(B, k42_fomodel1(B, k43_fomodel1(B, k1_fomodel2(B)), G), G) & k2_xfamily(C)=k42_fomodel1(B, k42_fomodel1(B, k43_fomodel1(B, k1_fomodel2(B)), F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d31_fomodel4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  (v12_fomodel4(C, B) =>  (r11_fomodel4(A, B, C) <=>  (? [D] :  (? [E] :  ( (v4_fomodel2(E, B) & m2_subset_1(E, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  &  (? [F] :  ( (v4_fomodel2(F, B) & m2_subset_1(F, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  &  (r2_tarski(D, A) &  (k1_xfamily(D)=k1_xfamily(C) &  (k2_xfamily(D)=k42_fomodel1(B, k42_fomodel1(B, k43_fomodel1(B, k1_fomodel2(B)), E), F) & k2_xfamily(C)=k42_fomodel1(B, k42_fomodel1(B, k43_fomodel1(B, k1_fomodel2(B)), F), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d32_fomodel4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  (v12_fomodel4(C, B) =>  (r12_fomodel4(A, B, C) <=>  (? [D] :  (? [E] :  (? [F] :  ( (v4_fomodel2(F, B) & m2_subset_1(F, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  &  (? [G] :  ( (v4_fomodel2(G, B) & m2_subset_1(G, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  &  (? [H] :  ( (v4_fomodel2(H, B) & m2_subset_1(H, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  &  (r2_tarski(D, A) &  (r2_tarski(E, A) &  (k1_xfamily(D)=k1_xfamily(E) &  (k2_xfamily(D)=G &  (k2_xfamily(E)=k42_fomodel1(B, k42_fomodel1(B, k43_fomodel1(B, k1_fomodel2(B)), G), H) &  (k2_xboole_0(k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)), F), k1_xfamily(C))=k1_xfamily(D) & k2_xfamily(C)=k42_fomodel1(B, k42_fomodel1(B, k43_fomodel1(B, k1_fomodel2(B)), F), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d33_fomodel4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  (v12_fomodel4(C, B) =>  (r13_fomodel4(A, B, C) <=>  (? [D] :  (? [E] :  ( (v4_fomodel2(E, B) & m2_subset_1(E, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  &  (r2_tarski(D, A) &  (k2_xfamily(C)=E &  (k1_xfamily(D)=k1_xfamily(C) & k2_xfamily(D)=k35_fomodel2(B, k35_fomodel2(B, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d34_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A)))) =>  (B=k10_fomodel4(A) <=>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))) =>  (! [D] :  (m1_subset_1(D, k1_fomodel4(A)) =>  (r2_tarski(k1_domain_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A), C, D), B) <=> r1_fomodel4(C, A, D)) ) ) ) ) ) ) ) ) ) ).
fof(d35_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A)))) =>  (B=k11_fomodel4(A) <=>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))) =>  (! [D] :  (m1_subset_1(D, k1_fomodel4(A)) =>  (r2_tarski(k1_domain_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A), C, D), B) <=> r2_fomodel4(C, A, D)) ) ) ) ) ) ) ) ) ) ).
fof(d36_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A)))) =>  (B=k12_fomodel4(A) <=>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))) =>  (! [D] :  (m1_subset_1(D, k1_fomodel4(A)) =>  (r2_tarski(k1_domain_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A), C, D), B) <=> r3_fomodel4(C, A, D)) ) ) ) ) ) ) ) ) ) ).
fof(d37_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A)))) =>  (B=k13_fomodel4(A) <=>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))) =>  (! [D] :  (m1_subset_1(D, k1_fomodel4(A)) =>  (r2_tarski(k1_domain_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A), C, D), B) <=> r4_fomodel4(C, A, D)) ) ) ) ) ) ) ) ) ) ).
fof(d38_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A)))) =>  (B=k14_fomodel4(A) <=>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))) =>  (! [D] :  (m1_subset_1(D, k1_fomodel4(A)) =>  (r2_tarski(k1_domain_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A), C, D), B) <=> r5_fomodel4(C, A, D)) ) ) ) ) ) ) ) ) ) ).
fof(d39_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A)))) =>  (B=k15_fomodel4(A) <=>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))) =>  (! [D] :  (m1_subset_1(D, k1_fomodel4(A)) =>  (r2_tarski(k1_domain_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A), C, D), B) <=> r6_fomodel4(C, A, D)) ) ) ) ) ) ) ) ) ) ).
fof(d40_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A)))) =>  (B=k16_fomodel4(A) <=>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))) =>  (! [D] :  (m1_subset_1(D, k1_fomodel4(A)) =>  (r2_tarski(k1_domain_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A), C, D), B) <=> r7_fomodel4(C, A, D)) ) ) ) ) ) ) ) ) ) ).
fof(d41_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A)))) =>  (B=k17_fomodel4(A) <=>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))) =>  (! [D] :  (m1_subset_1(D, k1_fomodel4(A)) =>  (r2_tarski(k1_domain_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A), C, D), B) <=> r8_fomodel4(C, A, D)) ) ) ) ) ) ) ) ) ) ).
fof(d42_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A)))) =>  (B=k18_fomodel4(A) <=>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))) =>  (! [D] :  (m1_subset_1(D, k1_fomodel4(A)) =>  (r2_tarski(k1_domain_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A), C, D), B) <=> r9_fomodel4(C, A, D)) ) ) ) ) ) ) ) ) ) ).
fof(d43_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A)))) =>  (B=k19_fomodel4(A) <=>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))) =>  (! [D] :  (m1_subset_1(D, k1_fomodel4(A)) =>  (r2_tarski(k1_domain_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A), C, D), B) <=> r10_fomodel4(C, A, D)) ) ) ) ) ) ) ) ) ) ).
fof(d44_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A)))) =>  (B=k20_fomodel4(A) <=>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))) =>  (! [D] :  (m1_subset_1(D, k1_fomodel4(A)) =>  (r2_tarski(k1_domain_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A), C, D), B) <=> r11_fomodel4(C, A, D)) ) ) ) ) ) ) ) ) ) ).
fof(d45_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A)))) =>  (B=k21_fomodel4(A) <=>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))) =>  (! [D] :  (m1_subset_1(D, k1_fomodel4(A)) =>  (r2_tarski(k1_domain_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A), C, D), B) <=> r12_fomodel4(C, A, D)) ) ) ) ) ) ) ) ) ) ).
fof(d46_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A)))) =>  (B=k22_fomodel4(A) <=>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))) =>  (! [D] :  (m1_subset_1(D, k1_fomodel4(A)) =>  (r2_tarski(k1_domain_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A), C, D), B) <=> r13_fomodel4(C, A, D)) ) ) ) ) ) ) ) ) ) ).
fof(t3_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (v2_fomodel4(B, A) =>  (! [C] :  (v1_fomodel4(C, A) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A)))) =>  (r2_hidden(k4_tarski(B, C), D) => r2_hidden(C, k1_funct_1(k23_fomodel4(A, D), B))) ) ) ) ) ) ) ) ) ).
fof(d48_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k24_fomodel4(A)=k23_fomodel4(A, k10_fomodel4(A))) ) ).
fof(d49_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k25_fomodel4(A)=k23_fomodel4(A, k11_fomodel4(A))) ) ).
fof(d50_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k26_fomodel4(A)=k23_fomodel4(A, k12_fomodel4(A))) ) ).
fof(d51_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k27_fomodel4(A)=k23_fomodel4(A, k13_fomodel4(A))) ) ).
fof(d52_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k28_fomodel4(A)=k23_fomodel4(A, k14_fomodel4(A))) ) ).
fof(d53_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k29_fomodel4(A)=k23_fomodel4(A, k15_fomodel4(A))) ) ).
fof(d54_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k30_fomodel4(A)=k23_fomodel4(A, k16_fomodel4(A))) ) ).
fof(d55_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k31_fomodel4(A)=k23_fomodel4(A, k17_fomodel4(A))) ) ).
fof(d56_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k32_fomodel4(A)=k23_fomodel4(A, k18_fomodel4(A))) ) ).
fof(d57_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k33_fomodel4(A)=k23_fomodel4(A, k19_fomodel4(A))) ) ).
fof(d58_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k34_fomodel4(A)=k23_fomodel4(A, k20_fomodel4(A))) ) ).
fof(d59_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k35_fomodel4(A)=k23_fomodel4(A, k21_fomodel4(A))) ) ).
fof(d60_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k36_fomodel4(A)=k23_fomodel4(A, k22_fomodel4(A))) ) ).
fof(d62_fomodel4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)), k9_setfam_1(k1_fomodel4(B))))) =>  ( (A=k5_numbers =>  (v13_fomodel4(C, A, B) <=>  (r2_tarski(k24_fomodel4(B), C) &  (r2_tarski(k26_fomodel4(B), C) &  (r2_tarski(k27_fomodel4(B), C) & r2_tarski(k28_fomodel4(B), C)) ) ) ) )  &  ( (A=1 =>  (v13_fomodel4(C, A, B) <=>  (r2_tarski(k24_fomodel4(B), C) &  (r2_tarski(k26_fomodel4(B), C) &  (r2_tarski(k27_fomodel4(B), C) &  (r2_tarski(k28_fomodel4(B), C) &  (r2_tarski(k29_fomodel4(B), C) & r2_tarski(k30_fomodel4(B), C)) ) ) ) ) ) )  &  ( (A=2 =>  (v13_fomodel4(C, A, B) <=>  (r2_tarski(k24_fomodel4(B), C) &  (r2_tarski(k25_fomodel4(B), C) &  (r2_tarski(k26_fomodel4(B), C) &  (r2_tarski(k27_fomodel4(B), C) &  (r2_tarski(k28_fomodel4(B), C) &  (r2_tarski(k29_fomodel4(B), C) &  (r2_tarski(k30_fomodel4(B), C) &  (r2_tarski(k31_fomodel4(B), C) &  (r2_tarski(k32_fomodel4(B), C) &  (r2_tarski(k33_fomodel4(B), C) &  (r2_tarski(k34_fomodel4(B), C) & r2_tarski(k35_fomodel4(B), C)) ) ) ) ) ) ) ) ) ) ) ) )  &  ~ ( ( ~ (A=k5_numbers)  &  ( ~ (A=1)  &  ( ~ (A=2)  &  ~ ( (v13_fomodel4(C, A, B) <=> C=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d63_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k39_fomodel4(A)=k4_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k13_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k24_fomodel4(A), k25_fomodel4(A), k26_fomodel4(A), k27_fomodel4(A), k28_fomodel4(A), k29_fomodel4(A), k30_fomodel4(A), k31_fomodel4(A)), k9_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k32_fomodel4(A), k33_fomodel4(A), k34_fomodel4(A), k35_fomodel4(A)))) ) ).
fof(t4_fomodel4, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v6_struct_0(C))  &  (v11_fomodel1(C) & l1_fomodel1(C)) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(C)), k9_setfam_1(k1_fomodel4(C))))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(C)), k9_setfam_1(k1_fomodel4(C))))) =>  ( (r1_tarski(D, E) & v4_fomodel4(B, C, D, A))  =>  ( ( ~ (v7_fomodel4(E, C))  &  ~ (v7_fomodel4(D, C)) )  | v4_fomodel4(B, C, E, A)) ) ) ) ) ) ) ) ) ) ).
fof(t5_fomodel4, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v6_struct_0(C))  &  (v11_fomodel1(C) & l1_fomodel1(C)) )  =>  (! [D] :  (m2_funct_2(D, k9_setfam_1(k1_fomodel4(C)), k9_setfam_1(k1_fomodel4(C)), k9_funct_2(k9_setfam_1(k1_fomodel4(C)), k9_setfam_1(k1_fomodel4(C)))) =>  (r2_tarski(B, k1_funct_1(D, A)) => v5_fomodel4(B, 1, C, k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(C)), k9_setfam_1(k1_fomodel4(C))), D), A)) ) ) ) ) ) ) ).
fof(t6_fomodel4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  ( (v4_fomodel2(C, B) & m2_subset_1(C, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  =>  (r2_tarski(C, A) => v9_fomodel4(C, B, k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)), k9_setfam_1(k1_fomodel4(B))), k24_fomodel4(B)), A)) ) ) ) ) ) ).
fof(t7_fomodel4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( ( ~ (v6_struct_0(F))  &  (v11_fomodel1(F) & l1_fomodel1(F)) )  =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(F)), k9_setfam_1(k1_fomodel4(F))))) =>  (! [H] :  (m1_subset_1(H, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(F)), k9_setfam_1(k1_fomodel4(F))))) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(F)), k9_setfam_1(k1_fomodel4(F))))) =>  (! [J] :  (v2_fomodel4(J, F) =>  (! [K] :  (v2_fomodel4(K, F) =>  ( (v7_fomodel4(k4_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(F)), k9_setfam_1(k1_fomodel4(F))), G, H), F) &  (v7_fomodel4(k4_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(F)), k9_setfam_1(k1_fomodel4(F))), k4_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(F)), k9_setfam_1(k1_fomodel4(F))), G, H), I), F) &  (v5_fomodel4(C, A, F, G, J) &  (v5_fomodel4(D, A, F, H, K) & v5_fomodel4(E, B, F, I, k2_tarski(C, D))) ) ) )  => v5_fomodel4(E, k2_xcmplx_0(A, B), F, k4_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(F)), k9_setfam_1(k1_fomodel4(F))), k4_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(F)), k9_setfam_1(k1_fomodel4(F))), G, H), I), k2_xboole_0(J, K))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_fomodel4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( ( ~ (v6_struct_0(F))  &  (v11_fomodel1(F) & l1_fomodel1(F)) )  =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(F)), k9_setfam_1(k1_fomodel4(F))))) =>  (! [H] :  (m1_subset_1(H, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(F)), k9_setfam_1(k1_fomodel4(F))))) =>  ( (v7_fomodel4(G, F) &  (v7_fomodel4(k4_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(F)), k9_setfam_1(k1_fomodel4(F))), G, H), F) &  (v5_fomodel4(D, A, F, G, C) & v5_fomodel4(E, B, F, H, k1_tarski(D))) ) )  => v5_fomodel4(E, k2_xcmplx_0(A, B), F, k4_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(F)), k9_setfam_1(k1_fomodel4(F))), G, H), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_fomodel4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  (! [D] :  ( ( ~ (v6_struct_0(D))  &  (v11_fomodel1(D) & l1_fomodel1(D)) )  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(D)), k9_setfam_1(k1_fomodel4(D))))) =>  (v5_fomodel4(C, A, D, E, B) => v4_fomodel4(k1_tarski(C), D, E, B)) ) ) ) ) ) ) ) ) ).
fof(t10_fomodel4, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v6_struct_0(C))  &  (v11_fomodel1(C) & l1_fomodel1(C)) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(C)), k9_setfam_1(k1_fomodel4(C))))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(C)), k9_setfam_1(k1_fomodel4(C))))) =>  ( (r1_tarski(D, E) & v9_fomodel4(B, C, D, A))  =>  ( ( ~ (v7_fomodel4(D, C))  &  ~ (v7_fomodel4(E, C)) )  | v9_fomodel4(B, C, E, A)) ) ) ) ) ) ) ) ) ) ).
fof(t11_fomodel4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ( ~ (v6_struct_0(D))  &  (v11_fomodel1(D) & l1_fomodel1(D)) )  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(D)), k9_setfam_1(k1_fomodel4(D))))) =>  ( (r1_tarski(A, B) & v9_fomodel4(C, D, E, A))  => v9_fomodel4(C, D, E, B)) ) ) ) ) ) ) ) ).
fof(t12_fomodel4, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v6_struct_0(C))  &  (v11_fomodel1(C) & l1_fomodel1(C)) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(C)), k9_setfam_1(k1_fomodel4(C))))) =>  (v9_fomodel4(B, C, D, A) =>  (v4_fomodel2(B, C) & m2_subset_1(B, k3_finseq_2(k15_fomodel1(C)), k6_subset_1(k3_finseq_2(k15_fomodel1(C)), k1_tarski(k1_xboole_0)))) ) ) ) ) ) ) ) ).
fof(d64_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( (v13_fomodel4(B, k5_numbers, A) & m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))))  =>  (! [C] :  (v11_fomodel4(C, A, B) => k40_fomodel4(A, B, C)=k22_fomodel3(A, k35_fomodel1(A), k8_fomodel4(A, B, C), k7_fomodel3(A, C))) ) ) ) ) ) ).
fof(d65_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (v14_fomodel4(B, A) <=>  (! [C] :  ( (v4_fomodel1(C, A) & m1_subset_1(C, k1_fomodel1(A)))  =>  (! [D] :  ( (v4_fomodel2(D, A) & m2_subset_1(D, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  =>  ~ ( (r2_tarski(k42_fomodel1(A, k43_fomodel1(A, C), D), B) &  (! [E] :  ( (v4_fomodel1(E, A) & m1_subset_1(E, k1_fomodel1(A)))  =>  ~ ( (r2_tarski(k24_fomodel3(A, C, E, D), B) &  ~ (r2_tarski(E, k10_xtuple_0(D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_fomodel4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)), k9_setfam_1(k1_fomodel4(B))))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (v10_fomodel4(D, B, C) => v10_fomodel4(A, B, C)) ) ) ) ) ) ) ) ).
fof(d67_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) =>  (v15_fomodel4(B, A) <=>  (! [C] :  ( (v4_fomodel2(C, A) & m2_subset_1(C, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  =>  (! [D] :  (v9_fomodel4(C, A, B, D) =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  (m2_subset_1(F, k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(E), k2_xboole_0(E, k5_margrel1))), k15_fomodel2(A, E)) =>  (v10_fomodel2(D, E, A, F) => k25_fomodel2(A, E, F, C)=1) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d68_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m2_funct_2(B, k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)), k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)))) =>  (v16_fomodel4(B, A) <=>  (! [C] :  (v12_fomodel2(C, A) => v12_fomodel2(k1_funct_1(B, C), A)) ) ) ) ) ) ) ).
fof(t14_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) =>  ( (! [C] :  (m2_funct_2(C, k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)), k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)))) =>  (r2_tarski(C, B) => v16_fomodel4(C, A)) ) )  => v15_fomodel4(B, A)) ) ) ) ) ).
fof(d69_fomodel4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  ( (v4_fomodel2(C, B) & m2_subset_1(C, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  =>  (v17_fomodel4(C, A, B) <=> v9_fomodel4(C, B, k4_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)), k9_setfam_1(k1_fomodel4(B))), k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)), k9_setfam_1(k1_fomodel4(B))), k36_fomodel4(B)), k39_fomodel4(B)), A)) ) ) ) ) ) ).
fof(t15_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( (v13_fomodel4(B, k5_numbers, A) &  (v13_fomodel4(B, 1, A) & m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)))))) )  =>  (! [C] :  (v11_fomodel4(C, A, B) =>  (! [D] :  ( (v15_fomodel1(D, A) & m2_subset_1(D, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  =>  (k13_fomodel2(A, k8_eqrel_1(k35_fomodel1(A), k8_fomodel4(A, B, C)), k41_fomodel4(A, B, C), D)=1 <=> r2_tarski(D, C)) ) ) ) ) ) ) ) ) ).
fof(t16_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( (v4_fomodel2(B, A) & m2_subset_1(B, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  =>  (! [C] :  ( (v13_fomodel4(C, k5_numbers, A) &  (v13_fomodel4(C, 1, A) & m1_subset_1(C, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)))))) )  =>  (! [D] :  (v11_fomodel4(D, A, C) =>  ( (r2_tarski(k25_fomodel4(A), C) &  (r2_tarski(k31_fomodel4(A), C) &  (r2_tarski(k33_fomodel4(A), C) &  (r2_tarski(k34_fomodel4(A), C) &  (r2_tarski(k35_fomodel4(A), C) &  (v6_fomodel2(D, A) & v14_fomodel4(D, A)) ) ) ) ) )  =>  (k25_fomodel2(A, k8_eqrel_1(k35_fomodel1(A), k8_fomodel4(A, C, D)), k41_fomodel4(A, C, D), B)=1 <=> r2_tarski(B, D)) ) ) ) ) ) ) ) ) ) ).
fof(d70_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) =>  (! [C] :  (v18_fomodel4(C, A, B) <=>  (! [D] :  ( (v4_fomodel2(D, A) & m2_subset_1(D, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  => v9_fomodel4(D, A, B, C)) ) ) ) ) ) ) ) ).
fof(d71_fomodel4, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)), k9_setfam_1(k1_fomodel4(B))))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k40_fomodel2(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k40_fomodel2(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k9_setfam_1(k2_xboole_0(A, k30_fomodel2(B)))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k2_xboole_0(A, k30_fomodel2(B))))))) )  =>  (E=k44_fomodel4(A, B, C, D) <=>  (k8_nat_1(k9_setfam_1(k2_xboole_0(A, k30_fomodel2(B))), E, k5_numbers)=A &  (! [F] :  (m1_subset_1(F, k4_ordinal1) => k8_nat_1(k9_setfam_1(k2_xboole_0(A, k30_fomodel2(B))), E, k2_xcmplx_0(F, 1))=k43_fomodel4(B, C, k8_nat_1(k9_setfam_1(k2_xboole_0(A, k30_fomodel2(B))), E, F), k8_nat_1(k40_fomodel2(B), D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_fomodel4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v6_struct_0(C))  &  (v11_fomodel1(C) & l1_fomodel1(C)) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(C)), k9_setfam_1(k1_fomodel4(C))))) =>  (! [E] :  (v4_funct_1(E) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k40_fomodel2(C)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k40_fomodel2(C))))) )  =>  ( (v7_fomodel4(D, C) &  (r2_tarski(k25_fomodel4(C), D) &  (r2_tarski(k35_fomodel4(C), D) &  (r2_tarski(k26_fomodel4(C), D) & r2_tarski(k32_fomodel4(C), D)) ) ) )  =>  (v1_finset_1(k7_subset_1(k15_fomodel1(C), k16_fomodel1(C), k21_fomodel0(k9_subset_1(k3_finseq_2(k1_fomodel1(C)), E, k6_subset_1(k3_finseq_2(k1_fomodel1(C)), k1_tarski(k1_xboole_0)))))) |  (v10_fomodel4(E, C, D) |  (r1_tarski(k8_nat_1(k9_setfam_1(k2_xboole_0(E, k30_fomodel2(C))), k44_fomodel4(E, C, D, F), A), k8_nat_1(k9_setfam_1(k2_xboole_0(E, k30_fomodel2(C))), k44_fomodel4(E, C, D, F), k2_xcmplx_0(A, B))) &  ( ~ (v1_finset_1(k7_subset_1(k15_fomodel1(C), k16_fomodel1(C), k21_fomodel0(k9_subset_1(k3_finseq_2(k1_fomodel1(C)), k8_nat_1(k9_setfam_1(k2_xboole_0(E, k30_fomodel2(C))), k44_fomodel4(E, C, D, F), B), k6_subset_1(k3_finseq_2(k1_fomodel1(C)), k1_tarski(k1_xboole_0)))))))  &  ~ (v10_fomodel4(k8_nat_1(k9_setfam_1(k2_xboole_0(E, k30_fomodel2(C))), k44_fomodel4(E, C, D, F), B), C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d72_fomodel4, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)), k9_setfam_1(k1_fomodel4(B))))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k40_fomodel2(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k40_fomodel2(B))))) )  => k45_fomodel4(A, B, C, D)=k3_tarski(k10_xtuple_0(k44_fomodel4(A, B, C, D)))) ) ) ) ) ) ) ) ).
fof(t18_fomodel4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)), k9_setfam_1(k1_fomodel4(B))))) =>  (! [D] :  (v4_funct_1(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k40_fomodel2(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k40_fomodel2(B))))) )  =>  ( (v7_fomodel4(C, B) &  (r2_tarski(k25_fomodel4(B), C) &  (r2_tarski(k35_fomodel4(B), C) &  (r2_tarski(k26_fomodel4(B), C) &  (r2_tarski(k32_fomodel4(B), C) &  (r1_tarski(k45_fomodel4(D, B, C, E), A) & k10_xtuple_0(E)=k40_fomodel2(B)) ) ) ) ) )  =>  (v1_finset_1(k7_subset_1(k15_fomodel1(B), k16_fomodel1(B), k21_fomodel0(k9_subset_1(k3_finseq_2(k1_fomodel1(B)), D, k6_subset_1(k3_finseq_2(k1_fomodel1(B)), k1_tarski(k1_xboole_0)))))) |  (v10_fomodel4(A, B, C) | v14_fomodel4(A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d73_fomodel4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)), k9_setfam_1(k1_fomodel4(B))))) =>  (! [D] :  (m2_subset_1(D, k6_subset_1(k3_finseq_2(k1_fomodel1(B)), k1_tarski(k1_xboole_0)), k30_fomodel2(B)) =>  ( ( ~ (v9_fomodel4(k35_fomodel2(B, D), B, C, A))  => k46_fomodel4(A, B, C, D)=k2_xboole_0(A, k6_domain_1(k30_fomodel2(B), D)))  &  (v9_fomodel4(k35_fomodel2(B, D), B, C, A) => k46_fomodel4(A, B, C, D)=k2_xboole_0(A, k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)), k35_fomodel2(B, D)))) ) ) ) ) ) ) ) ) ).
fof(d74_fomodel4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)), k9_setfam_1(k1_fomodel4(B))))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k30_fomodel2(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k30_fomodel2(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k9_setfam_1(k2_xboole_0(A, k30_fomodel2(B)))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k2_xboole_0(A, k30_fomodel2(B))))))) )  =>  (E=k48_fomodel4(A, B, C, D) <=>  (k8_nat_1(k9_setfam_1(k2_xboole_0(A, k30_fomodel2(B))), E, k5_numbers)=A &  (! [F] :  (v7_ordinal1(F) => k8_nat_1(k9_setfam_1(k2_xboole_0(A, k30_fomodel2(B))), E, k2_xcmplx_0(F, 1))=k47_fomodel4(k8_nat_1(k9_setfam_1(k2_xboole_0(A, k30_fomodel2(B))), E, F), B, C, k8_nat_1(k30_fomodel2(B), D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d75_fomodel4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)), k9_setfam_1(k1_fomodel4(B))))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k30_fomodel2(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k30_fomodel2(B))))) )  => k49_fomodel4(A, B, C, D)=k3_tarski(k10_xtuple_0(k48_fomodel4(A, B, C, D)))) ) ) ) ) ) ) ).
fof(t19_fomodel4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v1_orders_4(B) &  (v11_fomodel1(B) & l1_fomodel1(B)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)), k9_setfam_1(k1_fomodel4(B))))) =>  ~ ( (v13_fomodel4(C, 2, B) &  (v7_fomodel4(C, B) &  (v15_fomodel4(C, B) &  ( ~ (v10_fomodel4(A, B, C))  &  (r1_tarski(A, k30_fomodel2(B)) &  (! [D] :  ( ( ~ (v1_xboole_0(D))  & v4_card_3(D))  =>  (! [E] :  (m2_subset_1(E, k9_funct_2(k37_fomodel1(B), k3_rfunct_3(k3_finseq_2(D), k2_xboole_0(D, k5_margrel1))), k15_fomodel2(B, D)) =>  ~ (v10_fomodel2(A, D, B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_fomodel4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v1_orders_4(B) &  (v11_fomodel1(B) & l1_fomodel1(B)) ) )  =>  (! [C] :  ( (v4_fomodel2(C, B) & m2_subset_1(C, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  =>  ( (r1_tarski(A, k30_fomodel2(B)) & v13_fomodel2(C, A, B))  => v17_fomodel4(C, A, B)) ) ) ) ) ) ).
fof(t21_fomodel4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  ( (v4_card_3(C) & m1_subset_1(C, k1_zfmisc_1(k30_fomodel2(B))))  =>  (! [D] :  (m2_subset_1(D, k9_funct_2(k37_fomodel1(B), k3_rfunct_3(k3_finseq_2(A), k2_xboole_0(A, k5_margrel1))), k15_fomodel2(B, A)) =>  ~ ( (v10_fomodel2(C, A, B, D) &  (! [E] :  ( ( ~ (v1_xboole_0(E))  & v4_card_3(E))  =>  (! [F] :  (m2_subset_1(F, k9_funct_2(k37_fomodel1(B), k3_rfunct_3(k3_finseq_2(E), k2_xboole_0(E, k5_margrel1))), k15_fomodel2(B, E)) =>  ~ (v10_fomodel2(C, E, B, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k2_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & m1_subset_1(C, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))))  => m1_subset_1(k2_fomodel4(A, B, C), k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)))))) ) ).
fof(redefinition_k2_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & m1_subset_1(C, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))))  => k2_fomodel4(A, B, C)=k13_fomodel0(B, C)) ) ).
fof(dt_k3_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v3_fomodel4(B, A) & v3_fomodel4(C, A)) )  => m1_subset_1(k3_fomodel4(A, B, C), k1_zfmisc_1(k30_fomodel2(A)))) ) ).
fof(redefinition_k3_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v3_fomodel4(B, A) & v3_fomodel4(C, A)) )  => k3_fomodel4(A, B, C)=k13_fomodel0(B, C)) ) ).
fof(dt_k4_fomodel4, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))))  => m2_funct_2(k4_fomodel4(A, B), k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)), k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) ) ).
fof(dt_k5_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) & v7_ordinal1(C)) )  => m2_funct_2(k5_fomodel4(A, B, C), k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)), k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) ) ).
fof(dt_k6_fomodel4, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))))  => m1_subset_1(k6_fomodel4(A, B), k1_zfmisc_1(k1_zfmisc_1(k8_mcart_1(k1_zfmisc_1(k1_fomodel4(A)), k1_zfmisc_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))))) ) ).
fof(dt_k8_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))))  => m1_subset_1(k8_fomodel4(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k35_fomodel1(A), k35_fomodel1(A))))) ) ).
fof(redefinition_k8_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))))  => k8_fomodel4(A, B, C)=k7_fomodel4(A, B, C)) ) ).
fof(dt_k9_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v1_xboole_0(B) &  (v4_fomodel2(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => m1_subset_1(k9_fomodel4(A, B, C), k1_fomodel4(A))) ) ).
fof(redefinition_k9_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v1_xboole_0(B) &  (v4_fomodel2(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => k9_fomodel4(A, B, C)=k4_tarski(B, C)) ) ).
fof(dt_k10_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m1_subset_1(k10_fomodel4(A), k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A))))) ) ).
fof(dt_k11_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m1_subset_1(k11_fomodel4(A), k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A))))) ) ).
fof(dt_k12_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m1_subset_1(k12_fomodel4(A), k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A))))) ) ).
fof(dt_k13_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m1_subset_1(k13_fomodel4(A), k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A))))) ) ).
fof(dt_k14_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m1_subset_1(k14_fomodel4(A), k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A))))) ) ).
fof(dt_k15_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m1_subset_1(k15_fomodel4(A), k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A))))) ) ).
fof(dt_k16_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m1_subset_1(k16_fomodel4(A), k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A))))) ) ).
fof(dt_k17_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m1_subset_1(k17_fomodel4(A), k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A))))) ) ).
fof(dt_k18_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m1_subset_1(k18_fomodel4(A), k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A))))) ) ).
fof(dt_k19_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m1_subset_1(k19_fomodel4(A), k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A))))) ) ).
fof(dt_k20_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m1_subset_1(k20_fomodel4(A), k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A))))) ) ).
fof(dt_k21_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m1_subset_1(k21_fomodel4(A), k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A))))) ) ).
fof(dt_k22_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m1_subset_1(k22_fomodel4(A), k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A))))) ) ).
fof(dt_k23_fomodel4, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A)))))  => m2_funct_2(k23_fomodel4(A, B), k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)), k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) ) ).
fof(dt_k24_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m2_funct_2(k24_fomodel4(A), k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)), k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) ) ).
fof(dt_k25_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m2_funct_2(k25_fomodel4(A), k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)), k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) ) ).
fof(dt_k26_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m2_funct_2(k26_fomodel4(A), k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)), k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) ) ).
fof(dt_k27_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m2_funct_2(k27_fomodel4(A), k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)), k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) ) ).
fof(dt_k28_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m2_funct_2(k28_fomodel4(A), k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)), k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) ) ).
fof(dt_k29_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m2_funct_2(k29_fomodel4(A), k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)), k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) ) ).
fof(dt_k30_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m2_funct_2(k30_fomodel4(A), k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)), k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) ) ).
fof(dt_k31_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m2_funct_2(k31_fomodel4(A), k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)), k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) ) ).
fof(dt_k32_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m2_funct_2(k32_fomodel4(A), k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)), k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) ) ).
fof(dt_k33_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m2_funct_2(k33_fomodel4(A), k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)), k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) ) ).
fof(dt_k34_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m2_funct_2(k34_fomodel4(A), k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)), k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) ) ).
fof(dt_k35_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m2_funct_2(k35_fomodel4(A), k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)), k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) ) ).
fof(dt_k36_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m2_funct_2(k36_fomodel4(A), k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)), k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) ) ).
fof(dt_k38_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  &  ( (v3_card_1(C, B) & m1_subset_1(C, k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k35_fomodel1(A))))  &  (v3_card_1(D, B) & m1_subset_1(D, k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k35_fomodel1(A)))) ) ) )  => m1_subset_1(k38_fomodel4(A, B, C, D), k1_zfmisc_1(k30_fomodel2(A)))) ) ).
fof(redefinition_k38_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  &  ( (v3_card_1(C, B) & m1_subset_1(C, k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k35_fomodel1(A))))  &  (v3_card_1(D, B) & m1_subset_1(D, k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k35_fomodel1(A)))) ) ) )  => k38_fomodel4(A, B, C, D)=k37_fomodel4(A, B, C, D)) ) ).
fof(dt_k39_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m1_subset_1(k39_fomodel4(A), k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)))))) ) ).
fof(dt_k40_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v13_fomodel4(B, k5_numbers, A) & m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))))  & v11_fomodel4(C, A, B)) )  =>  (v1_relat_1(k40_fomodel4(A, B, C)) & v1_funct_1(k40_fomodel4(A, B, C))) ) ) ).
fof(dt_k41_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v13_fomodel4(B, k5_numbers, A) &  (v13_fomodel4(B, 1, A) & m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)))))) )  & v11_fomodel4(C, A, B)) )  => m2_subset_1(k41_fomodel4(A, B, C), k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(k8_eqrel_1(k35_fomodel1(A), k8_fomodel4(A, B, C))), k2_xboole_0(k8_eqrel_1(k35_fomodel1(A), k8_fomodel4(A, B, C)), k5_margrel1))), k15_fomodel2(A, k8_eqrel_1(k35_fomodel1(A), k8_fomodel4(A, B, C))))) ) ).
fof(redefinition_k41_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v13_fomodel4(B, k5_numbers, A) &  (v13_fomodel4(B, 1, A) & m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)))))) )  & v11_fomodel4(C, A, B)) )  => k41_fomodel4(A, B, C)=k40_fomodel4(A, B, C)) ) ).
fof(dt_k43_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) &  (v4_funct_1(C) & m1_subset_1(D, k40_fomodel2(A))) ) )  => m1_subset_1(k43_fomodel4(A, B, C, D), k1_zfmisc_1(k2_xboole_0(C, k30_fomodel2(A))))) ) ).
fof(redefinition_k43_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) &  (v4_funct_1(C) & m1_subset_1(D, k40_fomodel2(A))) ) )  => k43_fomodel4(A, B, C, D)=k42_fomodel4(A, B, C, D)) ) ).
fof(dt_k44_fomodel4, axiom,  (! [A, B, C, D] :  ( (v4_funct_1(A) &  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)), k9_setfam_1(k1_fomodel4(B))))) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k40_fomodel2(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k40_fomodel2(B))))) ) ) ) )  =>  (v1_funct_1(k44_fomodel4(A, B, C, D)) &  (v1_funct_2(k44_fomodel4(A, B, C, D), k4_ordinal1, k9_setfam_1(k2_xboole_0(A, k30_fomodel2(B)))) & m1_subset_1(k44_fomodel4(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k2_xboole_0(A, k30_fomodel2(B))))))) ) ) ) ).
fof(dt_k45_fomodel4, axiom,  (! [A, B, C, D] :  ( (v4_funct_1(A) &  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)), k9_setfam_1(k1_fomodel4(B))))) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k40_fomodel2(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k40_fomodel2(B))))) ) ) ) )  => m1_subset_1(k45_fomodel4(A, B, C, D), k1_zfmisc_1(k2_xboole_0(A, k30_fomodel2(B))))) ) ).
fof(dt_k47_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)), k9_setfam_1(k1_fomodel4(B))))) & m1_subset_1(D, k30_fomodel2(B))) )  => m1_subset_1(k47_fomodel4(A, B, C, D), k1_zfmisc_1(k2_xboole_0(A, k30_fomodel2(B))))) ) ).
fof(redefinition_k47_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)), k9_setfam_1(k1_fomodel4(B))))) & m1_subset_1(D, k30_fomodel2(B))) )  => k47_fomodel4(A, B, C, D)=k46_fomodel4(A, B, C, D)) ) ).
fof(dt_k48_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)), k9_setfam_1(k1_fomodel4(B))))) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k30_fomodel2(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k30_fomodel2(B))))) ) ) )  =>  (v1_funct_1(k48_fomodel4(A, B, C, D)) &  (v1_funct_2(k48_fomodel4(A, B, C, D), k4_ordinal1, k9_setfam_1(k2_xboole_0(A, k30_fomodel2(B)))) & m1_subset_1(k48_fomodel4(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k2_xboole_0(A, k30_fomodel2(B))))))) ) ) ) ).
fof(dt_k49_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  &  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)), k9_setfam_1(k1_fomodel4(B))))) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k30_fomodel2(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k30_fomodel2(B))))) ) ) )  => m1_subset_1(k49_fomodel4(A, B, C, D), k1_zfmisc_1(k2_xboole_0(A, k30_fomodel2(B))))) ) ).
fof(dt_k50_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (v1_relat_1(k50_fomodel4(A)) & v1_funct_1(k50_fomodel4(A))) ) ) ).
fof(dt_k51_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (v1_funct_1(k51_fomodel4(A)) &  (v1_funct_2(k51_fomodel4(A), k35_fomodel1(A), k32_fomodel1(A)) & m1_subset_1(k51_fomodel4(A), k1_zfmisc_1(k2_zfmisc_1(k35_fomodel1(A), k32_fomodel1(A))))) ) ) ) ).
fof(redefinition_k51_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k51_fomodel4(A)=k50_fomodel4(A)) ) ).
fof(d1_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k1_fomodel4(A)=a_1_0_fomodel4(A)) ) ).
fof(d9_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) => k6_fomodel4(A, B)=a_2_0_fomodel4(A, B)) ) ) ) ).
fof(d16_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) =>  (! [C] : k7_fomodel4(A, B, C)=a_3_0_fomodel4(A, B, C)) ) ) ) ) ).
fof(d26_fomodel4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  (v12_fomodel4(C, B) =>  (r6_fomodel4(A, B, C) <=>  (? [D] :  ( (v5_fomodel1(D, B) & m1_subset_1(D, k1_fomodel1(B)))  &  (? [E] :  ( (v3_card_1(E, k1_int_2(k19_fomodel1(B, D))) & m2_subset_1(E, k3_finseq_2(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))), k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)), k35_fomodel1(B))))  &  (? [F] :  ( (v3_card_1(F, k1_int_2(k19_fomodel1(B, D))) & m2_subset_1(F, k3_finseq_2(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))), k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)), k35_fomodel1(B))))  &  (v6_fomodel1(D, B) &  (k1_xfamily(C)=a_4_0_fomodel4(B, D, E, F) & k2_xfamily(C)=k42_fomodel1(B, k42_fomodel1(B, k43_fomodel1(B, k31_fomodel2(B)), k1_fomodel3(B, D, E)), k1_fomodel3(B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d27_fomodel4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  (v12_fomodel4(C, B) =>  (r7_fomodel4(A, B, C) <=>  (? [D] :  ( (v7_fomodel1(D, B) & m1_subset_1(D, k1_fomodel1(B)))  &  (? [E] :  ( (v3_card_1(E, k1_int_2(k19_fomodel1(B, D))) & m2_subset_1(E, k3_finseq_2(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))), k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)), k35_fomodel1(B))))  &  (? [F] :  ( (v3_card_1(F, k1_int_2(k19_fomodel1(B, D))) & m2_subset_1(F, k3_finseq_2(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))), k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)), k35_fomodel1(B))))  &  (k1_xfamily(C)=k2_xboole_0(k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)), k1_fomodel3(B, D, E)), a_4_1_fomodel4(B, D, E, F)) & k2_xfamily(C)=k1_fomodel3(B, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d47_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A)))) =>  (! [C] :  (m2_funct_2(C, k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)), k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)))) =>  (C=k23_fomodel4(A, B) <=>  (! [D] :  (r2_tarski(D, k9_setfam_1(k1_fomodel4(A))) => k1_funct_1(C, D)=a_3_1_fomodel4(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d61_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v3_card_1(C, B) & m2_subset_1(C, k3_finseq_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))), k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k35_fomodel1(A))))  =>  (! [D] :  ( (v3_card_1(D, B) & m2_subset_1(D, k3_finseq_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))), k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k35_fomodel1(A))))  => k37_fomodel4(A, B, C, D)=a_4_2_fomodel4(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(d66_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) =>  (! [C] :  (v4_funct_1(C) =>  (! [D] :  (m2_subset_1(D, k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0)), k40_fomodel2(A)) =>  ( ~ ( ( ~ (v10_fomodel4(k2_xboole_0(C, k6_domain_1(k40_fomodel2(A), D)), A, B))  &  ( ~ (k7_subset_1(k15_fomodel1(A), k16_fomodel1(A), k21_fomodel0(k8_subset_1(k3_finseq_2(k1_fomodel1(A)), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0)), k2_xboole_0(C, k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k37_fomodel2(A, D))))))=k1_xboole_0)  &  ~ (k42_fomodel4(A, B, C, D)=k2_xboole_0(C, k1_tarski(k17_fomodel0(k3_funct_2(k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0)), k15_fomodel1(A), k22_fomodel1(A), D), o_3_2_fomodel4(A, C, D), k37_fomodel2(A, D))))) ) ) )  &  ( ~ ( ( ~ (v10_fomodel4(k2_xboole_0(C, k6_domain_1(k40_fomodel2(A), D)), A, B))  &  ~ (k7_subset_1(k15_fomodel1(A), k16_fomodel1(A), k21_fomodel0(k8_subset_1(k3_finseq_2(k1_fomodel1(A)), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0)), k2_xboole_0(C, k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k37_fomodel2(A, D))))))=k1_xboole_0) ) )  => k42_fomodel4(A, B, C, D)=C) ) ) ) ) ) ) ) ) ) ).
fof(d76_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k50_fomodel4(A)=a_1_1_fomodel4(A)) ) ).
fof(fraenkel_a_1_0_fomodel4, axiom,  (! [A, B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (r2_hidden(A, a_1_0_fomodel4(B)) <=>  (? [C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(k30_fomodel2(B))) &  (v4_fomodel2(D, B) & m2_subset_1(D, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)))) )  &  (A=k1_domain_1(k1_zfmisc_1(k30_fomodel2(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)), C, D) & v1_finset_1(C)) ) ) ) ) ) ).
fof(fraenkel_a_2_0_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  & m1_subset_1(C, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)), k9_setfam_1(k1_fomodel4(B))))))  =>  (r2_hidden(A, a_2_0_fomodel4(B, C)) <=>  (? [D] :  (m1_subset_1(D, k4_ordinal1) & A=k8_funct_7(k4_fomodel4(B, C), D)) ) ) ) ) ).
fof(fraenkel_a_3_0_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  & m1_subset_1(C, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)), k9_setfam_1(k1_fomodel4(B))))))  =>  (r2_hidden(A, a_3_0_fomodel4(B, C, D)) <=>  (? [E, F] :  ( ( (v13_fomodel1(E, B) & m2_subset_1(E, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  &  (v13_fomodel1(F, B) & m2_subset_1(F, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)))) )  &  (A=k1_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)), E, F) & v9_fomodel4(k42_fomodel1(B, k42_fomodel1(B, k43_fomodel1(B, k31_fomodel2(B)), E), F), B, C, D)) ) ) ) ) ) ).
fof(fraenkel_a_4_0_fomodel4, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  &  ( (v5_fomodel1(C, B) & m1_subset_1(C, k1_fomodel1(B)))  &  ( (v3_card_1(D, k1_int_2(k19_fomodel1(B, C))) & m2_subset_1(D, k3_finseq_2(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))), k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)), k35_fomodel1(B))))  &  (v3_card_1(E, k1_int_2(k19_fomodel1(B, C))) & m2_subset_1(E, k3_finseq_2(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))), k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)), k35_fomodel1(B)))) ) ) )  =>  (r2_hidden(A, a_4_0_fomodel4(B, C, D, E)) <=>  (? [F, G, H] :  ( (m2_subset_1(F, k4_ordinal1, k2_finseq_1(k1_int_2(k19_fomodel1(B, C)))) &  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_finseq_1(k1_int_2(k19_fomodel1(B, C))), k6_subset_1(k3_finseq_2(k1_fomodel1(B)), k1_tarski(k1_xboole_0))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k1_int_2(k19_fomodel1(B, C))), k6_subset_1(k3_finseq_2(k1_fomodel1(B)), k1_tarski(k1_xboole_0)))))) )  &  (v1_funct_1(H) &  (v1_funct_2(H, k2_finseq_1(k1_int_2(k19_fomodel1(B, C))), k6_subset_1(k3_finseq_2(k1_fomodel1(B)), k1_tarski(k1_xboole_0))) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k1_int_2(k19_fomodel1(B, C))), k6_subset_1(k3_finseq_2(k1_fomodel1(B)), k1_tarski(k1_xboole_0)))))) ) ) )  &  (A=k42_fomodel1(B, k42_fomodel1(B, k43_fomodel1(B, k31_fomodel2(B)), k3_funct_2(k2_finseq_1(k1_int_2(k19_fomodel1(B, C))), k6_subset_1(k3_finseq_2(k1_fomodel1(B)), k1_tarski(k1_xboole_0)), G, F)), k3_funct_2(k2_finseq_1(k1_int_2(k19_fomodel1(B, C))), k6_subset_1(k3_finseq_2(k1_fomodel1(B)), k1_tarski(k1_xboole_0)), H, F)) &  (G=D & H=E) ) ) ) ) ) ) ).
fof(fraenkel_a_4_1_fomodel4, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  &  ( (v7_fomodel1(C, B) & m1_subset_1(C, k1_fomodel1(B)))  &  ( (v3_card_1(D, k1_int_2(k19_fomodel1(B, C))) & m2_subset_1(D, k3_finseq_2(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))), k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)), k35_fomodel1(B))))  &  (v3_card_1(E, k1_int_2(k19_fomodel1(B, C))) & m2_subset_1(E, k3_finseq_2(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))), k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)), k35_fomodel1(B)))) ) ) )  =>  (r2_hidden(A, a_4_1_fomodel4(B, C, D, E)) <=>  (? [F, G, H] :  ( (m2_subset_1(F, k4_ordinal1, k2_finseq_1(k1_int_2(k19_fomodel1(B, C)))) &  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_finseq_1(k1_int_2(k19_fomodel1(B, C))), k6_subset_1(k3_finseq_2(k1_fomodel1(B)), k1_tarski(k1_xboole_0))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k1_int_2(k19_fomodel1(B, C))), k6_subset_1(k3_finseq_2(k1_fomodel1(B)), k1_tarski(k1_xboole_0)))))) )  &  (v1_funct_1(H) &  (v1_funct_2(H, k2_finseq_1(k1_int_2(k19_fomodel1(B, C))), k6_subset_1(k3_finseq_2(k1_fomodel1(B)), k1_tarski(k1_xboole_0))) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k1_int_2(k19_fomodel1(B, C))), k6_subset_1(k3_finseq_2(k1_fomodel1(B)), k1_tarski(k1_xboole_0)))))) ) ) )  &  (A=k42_fomodel1(B, k42_fomodel1(B, k43_fomodel1(B, k31_fomodel2(B)), k3_funct_2(k2_finseq_1(k1_int_2(k19_fomodel1(B, C))), k6_subset_1(k3_finseq_2(k1_fomodel1(B)), k1_tarski(k1_xboole_0)), G, F)), k3_funct_2(k2_finseq_1(k1_int_2(k19_fomodel1(B, C))), k6_subset_1(k3_finseq_2(k1_fomodel1(B)), k1_tarski(k1_xboole_0)), H, F)) &  (G=D & H=E) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(B)), k1_fomodel4(B)))))  =>  (r2_hidden(A, a_3_1_fomodel4(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_fomodel4(B)) &  (A=E & r2_hidden(k4_tarski(D, E), C)) ) ) ) ) ) ).
fof(fraenkel_a_4_2_fomodel4, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  &  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  &  ( (v3_card_1(D, C) & m2_subset_1(D, k3_finseq_2(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))), k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)), k35_fomodel1(B))))  &  (v3_card_1(E, C) & m2_subset_1(E, k3_finseq_2(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))), k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)), k35_fomodel1(B)))) ) ) )  =>  (r2_hidden(A, a_4_2_fomodel4(B, C, D, E)) <=>  (? [F, G, H] :  ( (m2_subset_1(F, k4_ordinal1, k2_finseq_1(C)) &  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_finseq_1(C), k6_subset_1(k3_finseq_2(k1_fomodel1(B)), k1_tarski(k1_xboole_0))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(C), k6_subset_1(k3_finseq_2(k1_fomodel1(B)), k1_tarski(k1_xboole_0)))))) )  &  (v1_funct_1(H) &  (v1_funct_2(H, k2_finseq_1(C), k6_subset_1(k3_finseq_2(k1_fomodel1(B)), k1_tarski(k1_xboole_0))) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(C), k6_subset_1(k3_finseq_2(k1_fomodel1(B)), k1_tarski(k1_xboole_0)))))) ) ) )  &  (A=k42_fomodel1(B, k42_fomodel1(B, k43_fomodel1(B, k31_fomodel2(B)), k3_funct_2(k2_finseq_1(C), k6_subset_1(k3_finseq_2(k1_fomodel1(B)), k1_tarski(k1_xboole_0)), G, F)), k3_funct_2(k2_finseq_1(C), k6_subset_1(k3_finseq_2(k1_fomodel1(B)), k1_tarski(k1_xboole_0)), H, F)) &  (G=D & H=E) ) ) ) ) ) ) ).
fof(dt_o_3_2_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v4_funct_1(B) & m2_subset_1(C, k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0)), k40_fomodel2(A))) )  => m1_subset_1(o_3_2_fomodel4(A, B, C), k7_subset_1(k15_fomodel1(A), k16_fomodel1(A), k21_fomodel0(k8_subset_1(k3_finseq_2(k1_fomodel1(A)), k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0)), k2_xboole_0(B, k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k37_fomodel2(A, C)))))))) ) ).
fof(fraenkel_a_1_1_fomodel4, axiom,  (! [A, B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (r2_hidden(A, a_1_1_fomodel4(B)) <=>  (? [C] :  (m2_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)), k35_fomodel1(B)) & A=k1_domain_1(k35_fomodel1(B), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)), C, k42_fomodel1(B, k42_fomodel1(B, k43_fomodel1(B, k31_fomodel2(B)), C), C))) ) ) ) ) ).
fof(fc1_fraenkel, axiom,  (! [A, B] :  ( (v1_finset_1(A) & v1_finset_1(B))  => v1_finset_1(k1_funct_2(A, B))) ) ).
fof(t1_fraenkel, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  (r2_relset_1(A, B, k2_partfun1(A, B, C, E), k2_partfun1(A, B, D, E)) =>  (! [F] :  (m1_subset_1(F, A) =>  (r2_tarski(F, E) => k1_funct_1(C, F)=k1_funct_1(D, F)) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_fraenkel, axiom,  (! [A] :  (! [B] : r1_tarski(k1_funct_2(A, B), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ).
fof(t3_fraenkel, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (! [D] :  ( (r1_tarski(C, B) & r1_tarski(D, A))  =>  (k1_funct_2(C, D)=k1_xboole_0 |  (! [E] :  (m1_subset_1(E, k1_funct_2(C, D)) =>  (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) ) ) ) ) ) ) ) ).
fof(t4_fraenkel, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (! [D] :  ( (r1_tarski(C, B) & r1_tarski(D, A))  =>  (k1_funct_2(C, D)=k1_xboole_0 |  (! [E] :  (m1_subset_1(E, k1_funct_2(C, D)) =>  (? [F] :  (m2_funct_2(F, B, A, k9_funct_2(B, A)) & k2_partfun1(B, A, F, C)=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_fraenkel, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (! [D] :  (m2_funct_2(D, B, A, k9_funct_2(B, A)) => r2_relset_1(B, A, k2_partfun1(B, A, D, C), k2_partfun1(B, A, D, k3_xboole_0(B, C)))) ) ) ) ) ) ).
fof(t6_fraenkel, axiom,  (! [A] :  (! [B] :  ( (v1_finset_1(A) & v1_finset_1(B))  => v1_finset_1(k1_funct_2(A, B))) ) ) ).
fof(s23_fraenkel, axiom,  ( ( (! [A] :  (m1_subset_1(A, f1_s23_fraenkel) => p1_s23_fraenkel(A, A)) )  &  (! [A] :  (m1_subset_1(A, f1_s23_fraenkel) =>  (! [B] :  (m1_subset_1(B, f1_s23_fraenkel) =>  (! [C] :  (m1_subset_1(C, f1_s23_fraenkel) =>  ( (p1_s23_fraenkel(A, B) & p1_s23_fraenkel(B, C))  => p1_s23_fraenkel(A, C)) ) ) ) ) ) ) )  =>  (! [A] :  (m1_subset_1(A, f1_s23_fraenkel) =>  ~ ( (r2_tarski(A, f2_s23_fraenkel) &  (! [B] :  (m1_subset_1(B, f1_s23_fraenkel) =>  ~ ( (r2_tarski(B, f2_s23_fraenkel) &  (p1_s23_fraenkel(B, A) &  (! [C] :  (m1_subset_1(C, f1_s23_fraenkel) =>  ( (r2_tarski(C, f2_s23_fraenkel) & p1_s23_fraenkel(C, B))  => p1_s23_fraenkel(B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s24_fraenkel, axiom,  (? [A] :  (m1_subset_1(A, k5_finsub_1(f1_s24_fraenkel)) &  (! [B] :  (m1_subset_1(B, f1_s24_fraenkel) =>  (r2_tarski(B, A) <=>  (? [C] :  (m1_subset_1(C, f2_s24_fraenkel) &  (r2_tarski(C, f3_s24_fraenkel) &  (B=f4_s24_fraenkel(C) & p1_s24_fraenkel(B, C)) ) ) ) ) ) ) ) ) ).
fof(s26_fraenkel, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s26_fraenkel) =>  ~ ( (r2_tarski(A, f3_s26_fraenkel) &  (! [B] :  (m1_subset_1(B, f2_s26_fraenkel) =>  ~ (p1_s26_fraenkel(A, B)) ) ) ) ) ) )  =>  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, f1_s26_fraenkel, f2_s26_fraenkel) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(f1_s26_fraenkel, f2_s26_fraenkel)))) )  &  (! [B] :  (m1_subset_1(B, f1_s26_fraenkel) =>  (r2_tarski(B, f3_s26_fraenkel) => p1_s26_fraenkel(B, k3_funct_2(f1_s26_fraenkel, f2_s26_fraenkel, A, B))) ) ) ) ) ) ).
fof(s27_fraenkel, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s27_fraenkel) =>  ~ ( (r2_tarski(A, f3_s27_fraenkel) &  (! [B] :  (m1_subset_1(B, f2_s27_fraenkel) =>  ~ (p1_s27_fraenkel(A, B)) ) ) ) ) ) )  =>  (? [A] :  (m2_funct_2(A, f1_s27_fraenkel, f2_s27_fraenkel, k9_funct_2(f1_s27_fraenkel, f2_s27_fraenkel)) &  (! [B] :  (m1_subset_1(B, f1_s27_fraenkel) =>  (r2_tarski(B, f3_s27_fraenkel) => p1_s27_fraenkel(B, k3_funct_2(f1_s27_fraenkel, f2_s27_fraenkel, A, B))) ) ) ) ) ) ).
fof(dt_f4_s9_fraenkel, axiom,  (v1_funct_1(f4_s9_fraenkel) &  (v1_funct_2(f4_s9_fraenkel, f1_s9_fraenkel, f2_s9_fraenkel) & m1_subset_1(f4_s9_fraenkel, k1_zfmisc_1(k2_zfmisc_1(f1_s9_fraenkel, f2_s9_fraenkel)))) ) ).
fof(dt_f5_s9_fraenkel, axiom,  (v1_funct_1(f5_s9_fraenkel) &  (v1_funct_2(f5_s9_fraenkel, f1_s9_fraenkel, f2_s9_fraenkel) & m1_subset_1(f5_s9_fraenkel, k1_zfmisc_1(k2_zfmisc_1(f1_s9_fraenkel, f2_s9_fraenkel)))) ) ).
fof(dt_f1_s10_fraenkel, axiom,  ~ (v1_xboole_0(f1_s10_fraenkel)) ).
fof(dt_f4_s13_fraenkel, axiom,  (! [A, B] : m1_subset_1(f4_s13_fraenkel(A, B), f3_s13_fraenkel)) ).
fof(dt_f4_s19_fraenkel, axiom, m1_subset_1(f4_s19_fraenkel, f2_s19_fraenkel)).
fof(dt_f4_s20_fraenkel, axiom, m1_subset_1(f4_s20_fraenkel, f2_s20_fraenkel)).
fof(dt_f1_s22_fraenkel, axiom,  ~ (v1_xboole_0(f1_s22_fraenkel)) ).
fof(dt_f2_s22_fraenkel, axiom,  ~ (v1_xboole_0(f2_s22_fraenkel)) ).
fof(dt_f1_s23_fraenkel, axiom,  ~ (v1_xboole_0(f1_s23_fraenkel)) ).
fof(dt_f2_s23_fraenkel, axiom, m1_subset_1(f2_s23_fraenkel, k5_finsub_1(f1_s23_fraenkel))).
fof(dt_f1_s24_fraenkel, axiom,  ~ (v1_xboole_0(f1_s24_fraenkel)) ).
fof(dt_f2_s24_fraenkel, axiom,  ~ (v1_xboole_0(f2_s24_fraenkel)) ).
fof(dt_f3_s24_fraenkel, axiom, m1_subset_1(f3_s24_fraenkel, k5_finsub_1(f2_s24_fraenkel))).
fof(dt_f4_s24_fraenkel, axiom,  (! [A] : m1_subset_1(f4_s24_fraenkel(A), f1_s24_fraenkel)) ).
fof(dt_f2_s25_fraenkel, axiom,  ~ (v1_xboole_0(f2_s25_fraenkel)) ).
fof(dt_f1_s26_fraenkel, axiom,  ~ (v1_xboole_0(f1_s26_fraenkel)) ).
fof(dt_f2_s26_fraenkel, axiom,  ~ (v1_xboole_0(f2_s26_fraenkel)) ).
fof(dt_f3_s26_fraenkel, axiom, m1_subset_1(f3_s26_fraenkel, k5_finsub_1(f1_s26_fraenkel))).
fof(dt_f1_s27_fraenkel, axiom,  ~ (v1_xboole_0(f1_s27_fraenkel)) ).
fof(dt_f2_s27_fraenkel, axiom,  ~ (v1_xboole_0(f2_s27_fraenkel)) ).
fof(dt_f3_s27_fraenkel, axiom, m1_subset_1(f3_s27_fraenkel, k5_finsub_1(f1_s27_fraenkel))).
fof(dt_f1_s28_fraenkel, axiom,  ~ (v1_xboole_0(f1_s28_fraenkel)) ).
fof(dt_f2_s28_fraenkel, axiom,  ~ (v1_xboole_0(f2_s28_fraenkel)) ).
fof(s1_fraenkel, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s1_fraenkel) =>  (p1_s1_fraenkel(A) => p2_s1_fraenkel(A)) ) )  => r1_tarski(a_0_0_fraenkel, a_0_1_fraenkel)) ).
fof(s2_fraenkel, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s2_fraenkel) =>  (! [B] :  (m1_subset_1(B, f2_s2_fraenkel) =>  (p1_s2_fraenkel(A, B) => p2_s2_fraenkel(A, B)) ) ) ) )  => r1_tarski(a_0_2_fraenkel, a_0_3_fraenkel)) ).
fof(s3_fraenkel, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s3_fraenkel) =>  (p1_s3_fraenkel(A) <=> p2_s3_fraenkel(A)) ) )  => a_0_4_fraenkel=a_0_5_fraenkel) ).
fof(s4_fraenkel, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s4_fraenkel) =>  (! [B] :  (m1_subset_1(B, f2_s4_fraenkel) =>  (p1_s4_fraenkel(A, B) <=> p2_s4_fraenkel(A, B)) ) ) ) )  => a_0_6_fraenkel=a_0_7_fraenkel) ).
fof(s5_fraenkel, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s5_fraenkel) => f2_s5_fraenkel(A)=f3_s5_fraenkel(A)) )  => a_0_8_fraenkel=a_0_9_fraenkel) ).
fof(s6_fraenkel, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s6_fraenkel) =>  (p1_s6_fraenkel(A) => f2_s6_fraenkel(A)=f3_s6_fraenkel(A)) ) )  => a_0_10_fraenkel=a_0_11_fraenkel) ).
fof(s7_fraenkel, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s7_fraenkel) =>  (! [B] :  (m1_subset_1(B, f2_s7_fraenkel) => f3_s7_fraenkel(A, B)=f4_s7_fraenkel(A, B)) ) ) )  => a_0_12_fraenkel=a_0_13_fraenkel) ).
fof(s8_fraenkel, axiom,  ( ( (! [A] :  (m1_subset_1(A, f1_s8_fraenkel) =>  (! [B] :  (m1_subset_1(B, f2_s8_fraenkel) =>  (p1_s8_fraenkel(A, B) <=> p2_s8_fraenkel(A, B)) ) ) ) )  &  (! [A] :  (m1_subset_1(A, f1_s8_fraenkel) =>  (! [B] :  (m1_subset_1(B, f2_s8_fraenkel) => f3_s8_fraenkel(A, B)=f3_s8_fraenkel(B, A)) ) ) ) )  => a_0_14_fraenkel=a_0_15_fraenkel) ).
fof(s9_fraenkel, axiom,  ( (r2_relset_1(f1_s9_fraenkel, f2_s9_fraenkel, k2_partfun1(f1_s9_fraenkel, f2_s9_fraenkel, f4_s9_fraenkel, f3_s9_fraenkel), k2_partfun1(f1_s9_fraenkel, f2_s9_fraenkel, f5_s9_fraenkel, f3_s9_fraenkel)) &  (! [A] :  (m1_subset_1(A, f1_s9_fraenkel) =>  (r2_tarski(A, f3_s9_fraenkel) =>  (p1_s9_fraenkel(A) <=> p2_s9_fraenkel(A)) ) ) ) )  => a_0_16_fraenkel=a_0_17_fraenkel) ).
fof(s10_fraenkel, axiom, r1_tarski(a_0_18_fraenkel, f1_s10_fraenkel)).
fof(s11_fraenkel, axiom,  ( (! [A] :  (r2_tarski(A, a_0_19_fraenkel) => p2_s11_fraenkel(A)) )  =>  (! [A] :  (m1_subset_1(A, f1_s11_fraenkel) =>  (! [B] :  (m1_subset_1(B, f2_s11_fraenkel) =>  (p1_s11_fraenkel(A, B) => p2_s11_fraenkel(f3_s11_fraenkel(A, B))) ) ) ) ) ) ).
fof(s12_fraenkel, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s12_fraenkel) =>  (! [B] :  (m1_subset_1(B, f2_s12_fraenkel) =>  (p1_s12_fraenkel(A, B) => p2_s12_fraenkel(f3_s12_fraenkel(A, B))) ) ) ) )  =>  (! [A] :  (r2_tarski(A, a_0_20_fraenkel) => p2_s12_fraenkel(A)) ) ) ).
fof(s13_fraenkel, axiom, a_0_21_fraenkel=a_0_23_fraenkel).
fof(s14_fraenkel, axiom, a_0_24_fraenkel=a_0_26_fraenkel).
fof(s15_fraenkel, axiom, a_0_27_fraenkel=a_0_29_fraenkel).
fof(s16_fraenkel, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s16_fraenkel) =>  (! [B] :  (m1_subset_1(B, f2_s16_fraenkel) =>  ~ ( (p1_s16_fraenkel(A, B) &  (! [C] :  (m1_subset_1(C, f1_s16_fraenkel) =>  ~ ( (p2_s16_fraenkel(C, B) & f3_s16_fraenkel(A, B)=f3_s16_fraenkel(C, B)) ) ) ) ) ) ) ) ) )  => r1_tarski(a_0_30_fraenkel, a_0_31_fraenkel)) ).
fof(s17_fraenkel, axiom, r1_tarski(a_0_32_fraenkel, f2_s17_fraenkel)).
fof(s18_fraenkel, axiom, r1_xboole_0(a_0_33_fraenkel, f2_s18_fraenkel)).
fof(s19_fraenkel, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s19_fraenkel) =>  (! [B] :  (m1_subset_1(B, f2_s19_fraenkel) =>  (p2_s19_fraenkel(A, B) <=>  (B=f4_s19_fraenkel & p1_s19_fraenkel(A, B)) ) ) ) ) )  => a_0_34_fraenkel=a_0_35_fraenkel) ).
fof(s20_fraenkel, axiom, a_0_36_fraenkel=a_0_37_fraenkel).
fof(s21_fraenkel, axiom,  (v1_finset_1(f2_s21_fraenkel) => v1_finset_1(a_0_38_fraenkel)) ).
fof(s22_fraenkel, axiom,  ( (v1_finset_1(f3_s22_fraenkel) & v1_finset_1(f4_s22_fraenkel))  => v1_finset_1(a_0_39_fraenkel)) ).
fof(s25_fraenkel, axiom,  ( (v1_finset_1(f3_s25_fraenkel) &  (v1_finset_1(f4_s25_fraenkel) &  (! [A] :  (m2_funct_2(A, f1_s25_fraenkel, f2_s25_fraenkel, k9_funct_2(f1_s25_fraenkel, f2_s25_fraenkel)) =>  (! [B] :  (m2_funct_2(B, f1_s25_fraenkel, f2_s25_fraenkel, k9_funct_2(f1_s25_fraenkel, f2_s25_fraenkel)) =>  (r2_relset_1(f1_s25_fraenkel, f2_s25_fraenkel, k2_partfun1(f1_s25_fraenkel, f2_s25_fraenkel, A, f3_s25_fraenkel), k2_partfun1(f1_s25_fraenkel, f2_s25_fraenkel, B, f3_s25_fraenkel)) => f5_s25_fraenkel(A)=f5_s25_fraenkel(B)) ) ) ) ) ) )  => v1_finset_1(a_0_40_fraenkel)) ).
fof(s28_fraenkel, axiom,  ( (v1_finset_1(f3_s28_fraenkel) &  (! [A] :  (m1_subset_1(A, f1_s28_fraenkel) =>  (! [B] :  (m1_subset_1(B, f2_s28_fraenkel) =>  (! [C] :  (m1_subset_1(C, f2_s28_fraenkel) =>  ( (p1_s28_fraenkel(A, B) & p1_s28_fraenkel(A, C))  => B=C) ) ) ) ) ) ) )  => v1_finset_1(a_0_41_fraenkel)) ).
fof(fraenkel_a_0_0_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_0_fraenkel) <=>  (? [B] :  (m1_subset_1(B, f1_s1_fraenkel) &  (A=f2_s1_fraenkel(B) & p1_s1_fraenkel(B)) ) ) ) ) ).
fof(fraenkel_a_0_1_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_1_fraenkel) <=>  (? [B] :  (m1_subset_1(B, f1_s1_fraenkel) &  (A=f2_s1_fraenkel(B) & p2_s1_fraenkel(B)) ) ) ) ) ).
fof(fraenkel_a_0_2_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_2_fraenkel) <=>  (? [B, C] :  ( (m1_subset_1(B, f1_s2_fraenkel) & m1_subset_1(C, f2_s2_fraenkel))  &  (A=f3_s2_fraenkel(B, C) & p1_s2_fraenkel(B, C)) ) ) ) ) ).
fof(fraenkel_a_0_3_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_3_fraenkel) <=>  (? [B, C] :  ( (m1_subset_1(B, f1_s2_fraenkel) & m1_subset_1(C, f2_s2_fraenkel))  &  (A=f3_s2_fraenkel(B, C) & p2_s2_fraenkel(B, C)) ) ) ) ) ).
fof(fraenkel_a_0_4_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_4_fraenkel) <=>  (? [B] :  (m1_subset_1(B, f1_s3_fraenkel) &  (A=f2_s3_fraenkel(B) & p1_s3_fraenkel(B)) ) ) ) ) ).
fof(fraenkel_a_0_5_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_5_fraenkel) <=>  (? [B] :  (m1_subset_1(B, f1_s3_fraenkel) &  (A=f2_s3_fraenkel(B) & p2_s3_fraenkel(B)) ) ) ) ) ).
fof(fraenkel_a_0_6_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_6_fraenkel) <=>  (? [B, C] :  ( (m1_subset_1(B, f1_s4_fraenkel) & m1_subset_1(C, f2_s4_fraenkel))  &  (A=f3_s4_fraenkel(B, C) & p1_s4_fraenkel(B, C)) ) ) ) ) ).
fof(fraenkel_a_0_7_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_7_fraenkel) <=>  (? [B, C] :  ( (m1_subset_1(B, f1_s4_fraenkel) & m1_subset_1(C, f2_s4_fraenkel))  &  (A=f3_s4_fraenkel(B, C) & p2_s4_fraenkel(B, C)) ) ) ) ) ).
fof(fraenkel_a_0_8_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_8_fraenkel) <=>  (? [B] :  (m1_subset_1(B, f1_s5_fraenkel) &  (A=f2_s5_fraenkel(B) & p1_s5_fraenkel(B)) ) ) ) ) ).
fof(fraenkel_a_0_9_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_9_fraenkel) <=>  (? [B] :  (m1_subset_1(B, f1_s5_fraenkel) &  (A=f3_s5_fraenkel(B) & p1_s5_fraenkel(B)) ) ) ) ) ).
fof(fraenkel_a_0_10_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_10_fraenkel) <=>  (? [B] :  (m1_subset_1(B, f1_s6_fraenkel) &  (A=f2_s6_fraenkel(B) & p1_s6_fraenkel(B)) ) ) ) ) ).
fof(fraenkel_a_0_11_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_11_fraenkel) <=>  (? [B] :  (m1_subset_1(B, f1_s6_fraenkel) &  (A=f3_s6_fraenkel(B) & p1_s6_fraenkel(B)) ) ) ) ) ).
fof(fraenkel_a_0_12_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_12_fraenkel) <=>  (? [B, C] :  ( (m1_subset_1(B, f1_s7_fraenkel) & m1_subset_1(C, f2_s7_fraenkel))  &  (A=f3_s7_fraenkel(B, C) & p1_s7_fraenkel(B, C)) ) ) ) ) ).
fof(fraenkel_a_0_13_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_13_fraenkel) <=>  (? [B, C] :  ( (m1_subset_1(B, f1_s7_fraenkel) & m1_subset_1(C, f2_s7_fraenkel))  &  (A=f4_s7_fraenkel(B, C) & p1_s7_fraenkel(B, C)) ) ) ) ) ).
fof(fraenkel_a_0_14_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_14_fraenkel) <=>  (? [B, C] :  ( (m1_subset_1(B, f1_s8_fraenkel) & m1_subset_1(C, f2_s8_fraenkel))  &  (A=f3_s8_fraenkel(B, C) & p1_s8_fraenkel(B, C)) ) ) ) ) ).
fof(fraenkel_a_0_15_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_15_fraenkel) <=>  (? [B, C] :  ( (m1_subset_1(B, f1_s8_fraenkel) & m1_subset_1(C, f2_s8_fraenkel))  &  (A=f3_s8_fraenkel(C, B) & p2_s8_fraenkel(B, C)) ) ) ) ) ).
fof(fraenkel_a_0_16_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_16_fraenkel) <=>  (? [B] :  (m1_subset_1(B, f1_s9_fraenkel) &  (A=k1_funct_1(f4_s9_fraenkel, B) &  (p1_s9_fraenkel(B) & r2_tarski(B, f3_s9_fraenkel)) ) ) ) ) ) ).
fof(fraenkel_a_0_17_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_17_fraenkel) <=>  (? [B] :  (m1_subset_1(B, f1_s9_fraenkel) &  (A=k1_funct_1(f5_s9_fraenkel, B) &  (p2_s9_fraenkel(B) & r2_tarski(B, f3_s9_fraenkel)) ) ) ) ) ) ).
fof(fraenkel_a_0_18_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_18_fraenkel) <=>  (? [B] :  (m1_subset_1(B, f1_s10_fraenkel) &  (A=B & p1_s10_fraenkel(B)) ) ) ) ) ).
fof(fraenkel_a_0_19_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_19_fraenkel) <=>  (? [B, C] :  ( (m1_subset_1(B, f1_s11_fraenkel) & m1_subset_1(C, f2_s11_fraenkel))  &  (A=f3_s11_fraenkel(B, C) & p1_s11_fraenkel(B, C)) ) ) ) ) ).
fof(fraenkel_a_0_20_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_20_fraenkel) <=>  (? [B, C] :  ( (m1_subset_1(B, f1_s12_fraenkel) & m1_subset_1(C, f2_s12_fraenkel))  &  (A=f3_s12_fraenkel(B, C) & p1_s12_fraenkel(B, C)) ) ) ) ) ).
fof(fraenkel_a_0_21_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_21_fraenkel) <=>  (? [B] :  (m1_subset_1(B, f3_s13_fraenkel) &  (A=B &  (r2_tarski(B, a_0_22_fraenkel) & p2_s13_fraenkel(B)) ) ) ) ) ) ).
fof(fraenkel_a_0_22_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_22_fraenkel) <=>  (? [B, C] :  ( (m1_subset_1(B, f1_s13_fraenkel) & m1_subset_1(C, f2_s13_fraenkel))  &  (A=f4_s13_fraenkel(B, C) & p1_s13_fraenkel(B, C)) ) ) ) ) ).
fof(fraenkel_a_0_23_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_23_fraenkel) <=>  (? [B, C] :  ( (m1_subset_1(B, f1_s13_fraenkel) & m1_subset_1(C, f2_s13_fraenkel))  &  (A=f4_s13_fraenkel(B, C) &  (p1_s13_fraenkel(B, C) & p2_s13_fraenkel(f4_s13_fraenkel(B, C))) ) ) ) ) ) ).
fof(fraenkel_a_0_24_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_24_fraenkel) <=>  (? [B] :  (m1_subset_1(B, f1_s14_fraenkel) &  (A=f2_s14_fraenkel(B) &  (r2_tarski(B, a_0_25_fraenkel) & p1_s14_fraenkel(B)) ) ) ) ) ) ).
fof(fraenkel_a_0_25_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_25_fraenkel) <=>  (? [B] :  (m1_subset_1(B, f1_s14_fraenkel) &  (A=B & p2_s14_fraenkel(B)) ) ) ) ) ).
fof(fraenkel_a_0_26_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_26_fraenkel) <=>  (? [B] :  (m1_subset_1(B, f1_s14_fraenkel) &  (A=f2_s14_fraenkel(B) &  (p2_s14_fraenkel(B) & p1_s14_fraenkel(B)) ) ) ) ) ) ).
fof(fraenkel_a_0_27_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_27_fraenkel) <=>  (? [B, C] :  ( (m1_subset_1(B, f1_s15_fraenkel) & m1_subset_1(C, f2_s15_fraenkel))  &  (A=f3_s15_fraenkel(B, C) &  (r2_tarski(B, a_0_28_fraenkel) & p1_s15_fraenkel(B, C)) ) ) ) ) ) ).
fof(fraenkel_a_0_28_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_28_fraenkel) <=>  (? [B] :  (m1_subset_1(B, f1_s15_fraenkel) &  (A=B & p2_s15_fraenkel(B)) ) ) ) ) ).
fof(fraenkel_a_0_29_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_29_fraenkel) <=>  (? [B, C] :  ( (m1_subset_1(B, f1_s15_fraenkel) & m1_subset_1(C, f2_s15_fraenkel))  &  (A=f3_s15_fraenkel(B, C) &  (p2_s15_fraenkel(B) & p1_s15_fraenkel(B, C)) ) ) ) ) ) ).
fof(fraenkel_a_0_30_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_30_fraenkel) <=>  (? [B, C] :  ( (m1_subset_1(B, f1_s16_fraenkel) & m1_subset_1(C, f2_s16_fraenkel))  &  (A=f3_s16_fraenkel(B, C) & p1_s16_fraenkel(B, C)) ) ) ) ) ).
fof(fraenkel_a_0_31_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_31_fraenkel) <=>  (? [B, C] :  ( (m1_subset_1(B, f1_s16_fraenkel) & m1_subset_1(C, f2_s16_fraenkel))  &  (A=f3_s16_fraenkel(B, C) & p2_s16_fraenkel(B, C)) ) ) ) ) ).
fof(fraenkel_a_0_32_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_32_fraenkel) <=>  (? [B] :  (m1_subset_1(B, f1_s17_fraenkel) &  (A=f3_s17_fraenkel(B) &  (r2_hidden(f3_s17_fraenkel(B), f2_s17_fraenkel) & p1_s17_fraenkel(B)) ) ) ) ) ) ).
fof(fraenkel_a_0_33_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_33_fraenkel) <=>  (? [B] :  (m1_subset_1(B, f1_s18_fraenkel) &  (A=f3_s18_fraenkel(B) &  (p1_s18_fraenkel(B) &  ~ (r2_hidden(f3_s18_fraenkel(B), f2_s18_fraenkel)) ) ) ) ) ) ) ).
fof(fraenkel_a_0_34_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_34_fraenkel) <=>  (? [B, C] :  ( (m1_subset_1(B, f1_s19_fraenkel) & m1_subset_1(C, f2_s19_fraenkel))  &  (A=f3_s19_fraenkel(B, C) & p2_s19_fraenkel(B, C)) ) ) ) ) ).
fof(fraenkel_a_0_35_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_35_fraenkel) <=>  (? [B] :  (m1_subset_1(B, f1_s19_fraenkel) &  (A=f3_s19_fraenkel(B, f4_s19_fraenkel) & p1_s19_fraenkel(B, f4_s19_fraenkel)) ) ) ) ) ).
fof(fraenkel_a_0_36_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_36_fraenkel) <=>  (? [B, C] :  ( (m1_subset_1(B, f1_s20_fraenkel) & m1_subset_1(C, f2_s20_fraenkel))  &  (A=f3_s20_fraenkel(B, C) &  (C=f4_s20_fraenkel & p1_s20_fraenkel(B, C)) ) ) ) ) ) ).
fof(fraenkel_a_0_37_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_37_fraenkel) <=>  (? [B] :  (m1_subset_1(B, f1_s20_fraenkel) &  (A=f3_s20_fraenkel(B, f4_s20_fraenkel) & p1_s20_fraenkel(B, f4_s20_fraenkel)) ) ) ) ) ).
fof(fraenkel_a_0_38_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_38_fraenkel) <=>  (? [B] :  (m1_subset_1(B, f1_s21_fraenkel) &  (A=f3_s21_fraenkel(B) & r2_tarski(B, f2_s21_fraenkel)) ) ) ) ) ).
fof(fraenkel_a_0_39_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_39_fraenkel) <=>  (? [B, C] :  ( (m1_subset_1(B, f1_s22_fraenkel) & m1_subset_1(C, f2_s22_fraenkel))  &  (A=f5_s22_fraenkel(B, C) &  (r2_tarski(B, f3_s22_fraenkel) & r2_tarski(C, f4_s22_fraenkel)) ) ) ) ) ) ).
fof(fraenkel_a_0_40_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_40_fraenkel) <=>  (? [B] :  (m2_funct_2(B, f1_s25_fraenkel, f2_s25_fraenkel, k9_funct_2(f1_s25_fraenkel, f2_s25_fraenkel)) &  (A=f5_s25_fraenkel(B) & r1_tarski(k7_relset_1(f1_s25_fraenkel, f2_s25_fraenkel, B, f3_s25_fraenkel), f4_s25_fraenkel)) ) ) ) ) ).
fof(fraenkel_a_0_41_fraenkel, axiom,  (! [A] :  (r2_hidden(A, a_0_41_fraenkel) <=>  (? [B] :  (m1_subset_1(B, f2_s28_fraenkel) &  (A=B &  (? [C] :  (m1_subset_1(C, f1_s28_fraenkel) &  (p1_s28_fraenkel(C, B) & r2_tarski(C, f3_s28_fraenkel)) ) ) ) ) ) ) ) ).
fof(cc1_frechet, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ( (v1_tops_2(C, A) & v1_yellow_8(C, A, B))  =>  ( ~ (v1_xboole_0(C))  &  (v1_tops_2(C, A) & v1_yellow_8(C, A, B)) ) ) ) ) ) ) ).
fof(fc1_frechet, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  & m1_subset_1(B, u1_struct_0(k3_pcomps_1(A))))  =>  (v1_tops_2(k1_frechet(A, B), k3_pcomps_1(A)) & v1_yellow_8(k1_frechet(A, B), k3_pcomps_1(A), B)) ) ) ).
fof(fc2_frechet, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  & m1_subset_1(B, u1_struct_0(k3_pcomps_1(A))))  => v4_card_3(k1_frechet(A, B))) ) ).
fof(fc3_frechet, axiom,  (v2_pre_topc(k3_topmetr) & v1_frechet(k3_topmetr)) ).
fof(cc2_frechet, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v1_frechet(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v3_frechet(A)) ) ) ) ) ).
fof(cc3_frechet, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v3_frechet(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v4_frechet(A)) ) ) ) ) ).
fof(t1_frechet, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => m1_subset_1(k2_relset_1(u1_struct_0(A), B), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ).
fof(t2_frechet, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  (l1_struct_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (r1_tarski(k2_relset_1(u1_struct_0(A), C), u1_struct_0(B)) =>  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) ) ) ) ) ) ) ) ).
fof(t3_frechet, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_tops_2(C, A) &  (v1_yellow_8(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) )  =>  ~ (C=k1_xboole_0) ) ) ) ) ) ) ).
fof(t4_frechet, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v3_pre_topc(B, A) & v4_pre_topc(C, A))  => v3_pre_topc(k7_subset_1(u1_struct_0(A), B, C), A)) ) ) ) ) ) ) ).
fof(t5_frechet, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( (v4_pre_topc(k1_struct_0(A), A) &  (v4_pre_topc(k2_struct_0(A), A) &  ( (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v4_pre_topc(B, A) & v4_pre_topc(C, A))  => v4_pre_topc(k4_subset_1(u1_struct_0(A), B, C), A)) ) ) ) )  &  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (v2_tops_2(B, A) => v4_pre_topc(k6_setfam_1(u1_struct_0(A), B), A)) ) ) ) ) )  =>  (v2_pre_topc(A) & l1_pre_topc(A)) ) ) ) ).
fof(t6_frechet, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_pre_topc(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ( (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (v4_pre_topc(D, B) <=> v4_pre_topc(k8_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), A)) ) )  =>  (v2_pre_topc(B) & l1_pre_topc(B)) ) ) ) ) ) ) ) ).
fof(t7_frechet, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k7_metric_1)) =>  (! [B] :  (v1_xreal_0(B) => k8_metric_1(k7_metric_1, A, B)=k2_rcomp_1(k6_xcmplx_0(A, B), k2_xcmplx_0(A, B))) ) ) ) ).
fof(t8_frechet, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (v3_pre_topc(A, k3_topmetr) <=>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r2_hidden(B, A) &  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  & r1_tarski(k2_rcomp_1(k6_xcmplx_0(B, C), k2_xcmplx_0(B, C)), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_frechet, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k3_topmetr)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k3_topmetr))))) )  =>  ( (! [B] :  (m1_subset_1(B, k4_ordinal1) => r2_tarski(k3_funct_2(k4_ordinal1, u1_struct_0(k3_topmetr), A, B), k2_rcomp_1(k6_xcmplx_0(B, k7_xcmplx_0(1, 4)), k2_xcmplx_0(B, k7_xcmplx_0(1, 4))))) )  => v4_pre_topc(k2_relset_1(u1_struct_0(k3_topmetr), A), k3_topmetr)) ) ) ).
fof(t10_frechet, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (A=k4_ordinal1 => v4_pre_topc(A, k3_topmetr)) ) ) ).
fof(t11_frechet, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_pcomps_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (B=C &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_frechet(A, B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_frechet(A, B))))) )  =>  ~ ( (! [E] :  (m1_subset_1(E, k4_ordinal1) => k3_funct_2(k4_ordinal1, k1_frechet(A, B), D, E)=k8_metric_1(A, C, k7_xcmplx_0(1, k1_nat_1(E, 1)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_frechet, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => k10_xtuple_0(k1_funct_4(A, B))=k2_xboole_0(k7_relat_1(A, k6_subset_1(k9_xtuple_0(A), k9_xtuple_0(B))), k10_xtuple_0(B))) ) ) ) ).
fof(t13_frechet, axiom,  (! [A] :  (! [B] :  (r1_tarski(B, A) => k7_relset_1(A, A, k6_partfun1(A), B)=B) ) ) ).
fof(t14_frechet, axiom,  (! [A] :  (! [B] :  (! [C] : k9_xtuple_0(k1_funct_4(k6_partfun1(A), k7_funcop_1(B, C)))=k2_xboole_0(A, B)) ) ) ).
fof(t15_frechet, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (B=k1_xboole_0)  => k10_xtuple_0(k1_funct_4(k6_partfun1(A), k7_funcop_1(B, C)))=k2_xboole_0(k6_subset_1(A, B), k1_tarski(C))) ) ) ) ).
fof(t16_frechet, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (r1_tarski(C, A) => k8_relat_1(k1_funct_4(k6_partfun1(A), k7_funcop_1(B, D)), k6_subset_1(C, k1_tarski(D)))=k7_subset_1(C, k6_subset_1(C, B), k1_tarski(D))) ) ) ) ) ).
fof(t17_frechet, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (r2_tarski(C, A))  => k8_relat_1(k1_funct_4(k6_partfun1(A), k7_funcop_1(B, C)), k1_tarski(C))=B) ) ) ) ).
fof(t18_frechet, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (r1_tarski(C, A) =>  (r2_tarski(D, A) | k8_relat_1(k1_funct_4(k6_partfun1(A), k7_funcop_1(B, D)), k2_xboole_0(C, k1_tarski(D)))=k2_xboole_0(C, B)) ) ) ) ) ) ).
fof(t19_frechet, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (r1_tarski(C, A) =>  (r2_tarski(D, A) | k8_relat_1(k1_funct_4(k6_partfun1(A), k7_funcop_1(B, D)), k6_subset_1(C, k1_tarski(D)))=k6_subset_1(C, B)) ) ) ) ) ) ).
fof(d2_frechet, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (v1_frechet(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  ( (v1_tops_2(C, A) &  (v1_yellow_8(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) )  & v4_card_3(C)) ) ) ) ) ) ) ).
fof(t20_frechet, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  => v1_frechet(k3_pcomps_1(A))) ) ).
fof(t21_frechet, axiom, v1_frechet(k3_topmetr)).
fof(d3_frechet, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_frechet(A, B, C) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v3_pre_topc(D, A) &  (r2_tarski(C, D) &  (! [E] :  (v7_ordinal1(E) =>  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(E, F) &  ~ (r2_tarski(k1_funct_1(B, F), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_frechet, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (r2_funct_2(k4_ordinal1, u1_struct_0(A), C, k8_funcop_1(u1_struct_0(A), k4_ordinal1, B)) => r1_frechet(A, C, B)) ) ) ) ) ) ) ).
fof(d4_frechet, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v2_frechet(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & r1_frechet(A, B, C)) ) ) ) ) ) ) ).
fof(d5_frechet, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (C=k2_frechet(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, C) <=> r1_frechet(A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(d6_frechet, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (v3_frechet(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r2_tarski(C, k2_pre_topc(A, B)) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ~ ( (r1_tarski(k2_relset_1(u1_struct_0(A), D), B) & r2_tarski(C, k2_frechet(A, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_frechet, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (v4_frechet(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v4_pre_topc(B, A) <=>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v2_frechet(C, A) & r1_tarski(k2_relset_1(u1_struct_0(A), C), B))  => r1_tarski(k2_frechet(A, C), B)) ) ) ) ) ) ) ) ) ).
fof(t23_frechet, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v1_frechet(A) => v3_frechet(A)) ) ) ).
fof(t24_frechet, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v4_pre_topc(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (r1_tarski(k2_relset_1(u1_struct_0(A), C), B) => r1_tarski(k2_frechet(A, C), B)) ) ) ) ) ) ) ) ).
fof(t25_frechet, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v2_frechet(C, A) & r1_tarski(k2_relset_1(u1_struct_0(A), C), B))  => r1_tarski(k2_frechet(A, C), B)) ) )  => v4_pre_topc(B, A)) ) )  => v4_frechet(A)) ) ) ).
fof(t26_frechet, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v3_frechet(A) => v4_frechet(A)) ) ) ).
fof(d8_frechet, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_pre_topc(A) &  (v2_pre_topc(A) & l1_pre_topc(A)) ) )  =>  (A=k3_frechet <=>  (u1_struct_0(A)=k2_xboole_0(k6_subset_1(k1_numbers, k4_ordinal1), k1_tarski(k1_numbers)) &  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k3_topmetr), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_topmetr), u1_struct_0(A))))) )  &  (B=k1_funct_4(k6_partfun1(k1_numbers), k7_funcop_1(k4_ordinal1, k1_numbers)) &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (v4_pre_topc(C, A) <=> v4_pre_topc(k8_relset_1(u1_struct_0(k3_topmetr), u1_struct_0(A), B, C), k3_topmetr)) ) ) ) ) ) ) ) ) ) ).
fof(t27_frechet, axiom, m1_subset_1(k1_numbers, u1_struct_0(k3_frechet))).
fof(t28_frechet, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_frechet))) =>  ( (v3_pre_topc(A, k3_frechet) & r2_tarski(k1_numbers, A))  <=>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_topmetr))) &  (v3_pre_topc(B, k3_topmetr) &  (r1_tarski(k4_ordinal1, B) & A=k2_xboole_0(k7_subset_1(u1_struct_0(k3_topmetr), B, k4_ordinal1), k1_tarski(k1_numbers))) ) ) ) ) ) ) ).
fof(t29_frechet, axiom,  (! [A] :  ( (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_frechet))) =>  (r2_tarski(k1_numbers, A) |  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) & k3_xboole_0(k4_ordinal1, A)=k1_xboole_0) ) )  &  ( (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) & k3_xboole_0(k4_ordinal1, A)=k1_xboole_0)  =>  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_frechet))) &  ~ (r2_tarski(k1_numbers, A)) ) ) ) ) ).
fof(t30_frechet, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_frechet))) =>  (A=B =>  ( ( (k9_subset_1(u1_struct_0(k3_topmetr), k4_ordinal1, A)=k1_xboole_0 & v3_pre_topc(A, k3_topmetr))  =>  ( ~ (r2_tarski(k1_numbers, B))  & v3_pre_topc(B, k3_frechet)) )  &  (v3_pre_topc(B, k3_frechet) =>  (r2_tarski(k1_numbers, B) |  (k9_subset_1(u1_struct_0(k3_topmetr), k4_ordinal1, A)=k1_xboole_0 & v3_pre_topc(A, k3_topmetr)) ) ) ) ) ) ) ) ) ).
fof(t31_frechet, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_frechet))) =>  (A=k1_tarski(k1_numbers) => v4_pre_topc(A, k3_frechet)) ) ) ).
fof(t32_frechet, axiom,  ~ (v1_frechet(k3_frechet)) ).
fof(t33_frechet, axiom, v3_frechet(k3_frechet)).
fof(t34_frechet, axiom,  (? [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (v3_frechet(A) &  ~ (v1_frechet(A)) ) ) ) ).
fof(t35_frechet, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_partfun1(A, B) => k10_xtuple_0(k1_funct_4(A, B))=k2_xboole_0(k10_xtuple_0(A), k10_xtuple_0(B))) ) ) ) ) ).
fof(t36_frechet, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(A, k7_xcmplx_0(1, B)))  &  ~ (r1_xxreal_0(B, k5_numbers)) ) ) ) ) ) ) ) ) ).
fof(dt_k1_frechet, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  & m1_subset_1(B, u1_struct_0(k3_pcomps_1(A))))  => m1_subset_1(k1_frechet(A, B), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))) ) ).
fof(dt_k2_frechet, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => m1_subset_1(k2_frechet(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k3_frechet, axiom,  ( ~ (v2_struct_0(k3_frechet))  &  (v1_pre_topc(k3_frechet) &  (v2_pre_topc(k3_frechet) & l1_pre_topc(k3_frechet)) ) ) ).
fof(d1_frechet, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_pcomps_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) =>  (C=k1_frechet(A, B) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (D=B & C=a_2_0_frechet(A, D)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_frechet, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l1_metric_1(B))  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_2_0_frechet(B, C)) <=>  (? [D] :  (v7_ordinal1(D) &  (A=k8_metric_1(B, C, k7_xcmplx_0(1, D)) &  ~ (D=k5_numbers) ) ) ) ) ) ) ).
fof(t1_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_ordinal1) &  (v5_valued_0(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) )  =>  (v1_funct_1(k2_valued_0(u1_struct_0(A), C, B)) &  (v1_funct_2(k2_valued_0(u1_struct_0(A), C, B), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k2_valued_0(u1_struct_0(A), C, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ) ) ) ) ).
fof(t2_frechet2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (r1_funct_2(k4_ordinal1, k1_numbers, k4_ordinal1, k4_ordinal1, A, k6_partfun1(k4_ordinal1)) =>  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) &  (v5_valued_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) ) ) ) ) ).
fof(t3_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( (! [D] :  (m2_valued_0(D, u1_struct_0(A), B) =>  ~ (r1_tarski(k2_relset_1(u1_struct_0(A), D), C)) ) )  &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (? [E] :  (m1_subset_1(E, k4_ordinal1) &  (r1_xxreal_0(D, E) & r2_tarski(k8_nat_1(u1_struct_0(A), B, E), C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r1_tarski(k2_relset_1(u1_struct_0(A), B), k4_subset_1(u1_struct_0(A), C, D)) &  (! [E] :  (m2_valued_0(E, u1_struct_0(A), B) =>  ( ~ (r1_tarski(k2_relset_1(u1_struct_0(A), E), C))  &  ~ (r1_tarski(k2_relset_1(u1_struct_0(A), E), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, k2_frechet(A, B)) & r2_tarski(D, k2_frechet(A, B)))  => C=D) ) ) ) ) ) )  => v7_pre_topc(A)) ) ) ).
fof(t6_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v8_pre_topc(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, k2_frechet(A, B)) & r2_tarski(D, k2_frechet(A, B)))  => C=D) ) ) ) ) ) ) ) ) ) ).
fof(t7_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v1_frechet(A) =>  (v8_pre_topc(A) <=>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, k2_frechet(A, B)) & r2_tarski(D, k2_frechet(A, B)))  => C=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( ~ (v2_frechet(B, A))  => k2_frechet(A, B)=k1_xboole_0) ) ) ) ) ).
fof(t9_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v4_pre_topc(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (r1_tarski(k2_relset_1(u1_struct_0(A), C), B) => r1_tarski(k2_frechet(A, C), B)) ) ) ) ) ) ) ) ).
fof(t10_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (r1_frechet(A, B, C))  &  (! [D] :  (m2_valued_0(D, u1_struct_0(A), B) =>  (? [E] :  (m2_valued_0(E, u1_struct_0(A), D) & r1_frechet(A, E, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v5_pre_topc(C, A, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  (r2_funct_2(k4_ordinal1, u1_struct_0(B), E, k1_partfun1(k4_ordinal1, u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), D, C)) => r1_tarski(k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, k2_frechet(A, D)), k2_frechet(B, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v4_frechet(A) =>  (v5_pre_topc(C, A, B) <=>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  (r2_funct_2(k4_ordinal1, u1_struct_0(B), E, k1_partfun1(k4_ordinal1, u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), D, C)) => r1_tarski(k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, k2_frechet(A, D)), k2_frechet(B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (C=k1_frechet2(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, C) <=>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  &  (r1_tarski(k2_relset_1(u1_struct_0(A), E), B) & r2_tarski(D, k2_frechet(A, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_tarski(k2_relset_1(u1_struct_0(A), C), B) & r2_tarski(D, k2_frechet(A, C)))  => r2_tarski(D, k2_pre_topc(A, B))) ) ) ) ) ) ) ) ) ).
fof(t14_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k1_frechet2(A, B), k2_pre_topc(A, B))) ) ) ) ).
fof(t15_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m2_valued_0(C, u1_struct_0(A), B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_frechet(A, B, D) => r1_frechet(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t16_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m2_valued_0(C, u1_struct_0(A), B) => r1_tarski(k2_frechet(A, B), k2_frechet(A, C))) ) ) ) ) ) ).
fof(t17_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  => k1_frechet2(A, k1_struct_0(A))=k1_xboole_0) ) ).
fof(t18_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(B, k1_frechet2(A, B))) ) ) ) ).
fof(t19_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k4_subset_1(u1_struct_0(A), k1_frechet2(A, B), k1_frechet2(A, C))=k1_frechet2(A, k4_subset_1(u1_struct_0(A), B, C))) ) ) ) ) ) ).
fof(t20_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (v3_frechet(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k2_pre_topc(A, B)=k1_frechet2(A, B)) ) ) ) ) ).
fof(t21_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v3_frechet(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (k1_frechet2(A, k1_struct_0(A))=k1_xboole_0 &  (r1_tarski(B, k1_frechet2(A, B)) &  (k1_frechet2(A, k4_subset_1(u1_struct_0(A), B, C))=k4_subset_1(u1_struct_0(A), k1_frechet2(A, B), k1_frechet2(A, C)) & k1_frechet2(A, k1_frechet2(A, B))=k1_frechet2(A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t22_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( (v4_frechet(A) &  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k1_frechet2(A, k1_frechet2(A, B))=k1_frechet2(A, B)) ) )  => v3_frechet(A)) ) ) ).
fof(t23_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v4_frechet(A) =>  (v3_frechet(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (k1_frechet2(A, k1_struct_0(A))=k1_xboole_0 &  (r1_tarski(B, k1_frechet2(A, B)) &  (k1_frechet2(A, k4_subset_1(u1_struct_0(A), B, C))=k4_subset_1(u1_struct_0(A), k1_frechet2(A, B), k1_frechet2(A, C)) & k1_frechet2(A, k1_frechet2(A, B))=k1_frechet2(A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & k2_frechet(A, B)=k6_domain_1(u1_struct_0(A), C)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (C=k2_frechet2(A, B) <=> r1_frechet(A, B, C)) ) ) ) ) ) ) ) ).
fof(t24_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v8_pre_topc(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ~ ( (v2_frechet(B, A) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ (k2_frechet(A, B)=k6_domain_1(u1_struct_0(A), C)) ) ) ) ) ) ) ) ) ) ).
fof(t25_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v8_pre_topc(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_frechet(A, B, C) <=>  (v2_frechet(B, A) & C=k2_frechet2(A, B)) ) ) ) ) ) ) ) ) ).
fof(t26_frechet2, axiom,  (! [A] :  (l1_metric_1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k3_pcomps_1(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k3_pcomps_1(A)))))) ) ) ) ) ) ).
fof(t27_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k3_pcomps_1(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k3_pcomps_1(A)))))) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ) ) ).
fof(t28_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(k3_pcomps_1(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k3_pcomps_1(A)))))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k3_pcomps_1(A))) =>  ( (r1_funct_2(k4_ordinal1, u1_struct_0(A), k4_ordinal1, u1_struct_0(k3_pcomps_1(A)), B, D) & C=E)  =>  (r1_metric_6(A, B, C) <=> r1_frechet(k3_pcomps_1(A), D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(k3_pcomps_1(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k3_pcomps_1(A)))))) )  =>  (r1_funct_2(k4_ordinal1, u1_struct_0(A), k4_ordinal1, u1_struct_0(k3_pcomps_1(A)), B, C) =>  (v2_tbsp_1(B, A) <=> v2_frechet(C, k3_pcomps_1(A))) ) ) ) ) ) ) ) ).
fof(t30_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(k3_pcomps_1(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k3_pcomps_1(A)))))) )  =>  ( (r1_funct_2(k4_ordinal1, u1_struct_0(A), k4_ordinal1, u1_struct_0(k3_pcomps_1(A)), B, C) & v2_tbsp_1(B, A))  => k1_tbsp_1(A, B)=k2_frechet2(k3_pcomps_1(A), C)) ) ) ) ) ) ) ).
fof(d3_frechet2, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_frechet2(A, B, C) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (v3_pre_topc(D, A) &  (r2_tarski(C, D) &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  ~ ( (r1_xxreal_0(E, F) & r2_tarski(k8_nat_1(u1_struct_0(A), B, F), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (? [D] :  (m2_valued_0(D, u1_struct_0(A), B) & r1_frechet(A, D, C)) )  => r1_frechet2(A, B, C)) ) ) ) ) ) ) ).
fof(t32_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_frechet(A, B, C) => r1_frechet2(A, B, C)) ) ) ) ) ) ) ).
fof(t34_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (k8_nat_1(u1_struct_0(A), B, E)=D & r1_frechet(A, B, C)) ) )  => r2_tarski(C, k2_pre_topc(A, k6_domain_1(u1_struct_0(A), D)))) ) ) ) ) ) ) ) ) ).
fof(t36_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ~ ( (r1_tarski(k2_relset_1(u1_struct_0(A), C), k2_relset_1(u1_struct_0(A), B)) &  (v2_funct_1(C) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_ordinal1) &  (v3_funct_2(D, k4_ordinal1, k4_ordinal1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) )  =>  ~ (m2_valued_0(k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, u1_struct_0(A), D, C), u1_struct_0(A), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_ordinal1) &  (v3_funct_2(C, k4_ordinal1, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_frechet(A, B, D) => r1_frechet(A, k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, u1_struct_0(A), C, B), D)) ) ) ) ) ) ) ) ) ).
fof(t38_frechet2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_ordinal1) &  (v5_valued_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) )  &  (! [C] :  (m1_subset_1(C, k4_ordinal1) => k8_nat_1(k4_ordinal1, B, C)=k1_nat_1(C, A)) ) ) ) ) ) ).
fof(t39_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_frechet2(A, B, C) => r1_frechet2(A, k1_valued_0(u1_struct_0(A), B, D), C)) ) ) ) ) ) ) ) ) ).
fof(t40_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_frechet2(A, B, C) => r2_tarski(C, k2_pre_topc(A, k2_relset_1(u1_struct_0(A), B)))) ) ) ) ) ) ) ).
fof(t41_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (v3_frechet(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r1_frechet2(A, B, C) &  (! [D] :  (m2_valued_0(D, u1_struct_0(A), B) =>  ~ (r1_frechet(A, D, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v1_frechet(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  ( (v1_tops_2(C, A) &  (v1_yellow_8(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) )  &  (? [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  &  (k9_xtuple_0(D)=k4_ordinal1 &  (k10_xtuple_0(D)=C &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r1_xxreal_0(E, F) => r1_tarski(k1_funct_1(D, F), k1_funct_1(D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_pre_topc(A, k6_domain_1(u1_struct_0(A), B))=k6_domain_1(u1_struct_0(A), B)) )  => v7_pre_topc(A)) ) ) ).
fof(t44_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v8_pre_topc(A) => v7_pre_topc(A)) ) ) ).
fof(t45_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ~ ( ( ~ (v7_pre_topc(A))  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ~ ( (r2_funct_2(k4_ordinal1, u1_struct_0(A), D, k8_funcop_1(u1_struct_0(A), k4_ordinal1, B)) &  ( ~ (B=C)  & r1_frechet(A, D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_frechet2, axiom,  ( (? [A] :  (m1_subset_1(A, k4_ordinal1) &  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(f1_s1_frechet2)) =>  ( (r1_xxreal_0(A, B) & C=k8_nat_1(u1_struct_0(f1_s1_frechet2), f2_s1_frechet2, B))  => p1_s1_frechet2(C)) ) ) ) ) ) )  =>  (? [A] :  (m1_subset_1(A, k4_ordinal1) &  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (r1_xxreal_0(A, B) => p1_s1_frechet2(k8_nat_1(u1_struct_0(f1_s1_frechet2), k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, u1_struct_0(f1_s1_frechet2), f3_s1_frechet2, f2_s1_frechet2), B))) ) ) ) ) ) ).
fof(s2_frechet2, axiom,  ( (? [A] :  (m1_subset_1(A, k4_ordinal1) &  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(f1_s2_frechet2)) =>  ( (r1_xxreal_0(A, B) & C=k8_nat_1(u1_struct_0(f1_s2_frechet2), f2_s2_frechet2, B))  => p1_s2_frechet2(C)) ) ) ) ) ) )  =>  (? [A] :  (m1_subset_1(A, k4_ordinal1) &  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (r1_xxreal_0(A, B) => p1_s2_frechet2(k8_nat_1(u1_struct_0(f1_s2_frechet2), k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, u1_struct_0(f1_s2_frechet2), f3_s2_frechet2, f2_s2_frechet2), B))) ) ) ) ) ) ).
fof(dt_k1_frechet2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k1_frechet2(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k2_frechet2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => m1_subset_1(k2_frechet2(A, B), u1_struct_0(A))) ) ).
fof(dt_f1_s1_frechet2, axiom,  ( ~ (v2_struct_0(f1_s1_frechet2))  & l1_struct_0(f1_s1_frechet2)) ).
fof(dt_f2_s1_frechet2, axiom,  (v1_funct_1(f2_s1_frechet2) &  (v1_funct_2(f2_s1_frechet2, k4_ordinal1, u1_struct_0(f1_s1_frechet2)) & m1_subset_1(f2_s1_frechet2, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(f1_s1_frechet2))))) ) ).
fof(dt_f3_s1_frechet2, axiom,  (v1_funct_1(f3_s1_frechet2) &  (v1_funct_2(f3_s1_frechet2, k4_ordinal1, k4_ordinal1) &  (v3_funct_2(f3_s1_frechet2, k4_ordinal1, k4_ordinal1) & m1_subset_1(f3_s1_frechet2, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) ) ).
fof(dt_f1_s2_frechet2, axiom,  ( ~ (v2_struct_0(f1_s2_frechet2))  & l1_pre_topc(f1_s2_frechet2)) ).
fof(dt_f2_s2_frechet2, axiom,  (v1_funct_1(f2_s2_frechet2) &  (v1_funct_2(f2_s2_frechet2, k4_ordinal1, u1_struct_0(f1_s2_frechet2)) & m1_subset_1(f2_s2_frechet2, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(f1_s2_frechet2))))) ) ).
fof(dt_f3_s2_frechet2, axiom,  (v1_funct_1(f3_s2_frechet2) &  (v1_funct_2(f3_s2_frechet2, k4_ordinal1, k4_ordinal1) &  (v3_funct_2(f3_s2_frechet2, k4_ordinal1, k4_ordinal1) & m1_subset_1(f3_s2_frechet2, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) ) ).
fof(t33_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (D=a_2_0_frechet2(A, C) & r1_tarski(k2_relset_1(u1_struct_0(A), B), D))  => r1_frechet(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t35_frechet2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ~ ( (C=a_2_0_frechet2(A, B) &  (r1_xboole_0(k2_relset_1(u1_struct_0(A), D), C) &  (r1_frechet(A, D, B) &  (! [E] :  (m2_valued_0(E, u1_struct_0(A), D) =>  ~ (v2_funct_1(E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_frechet2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l1_pre_topc(B))  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_2_0_frechet2(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & r2_tarski(C, k2_pre_topc(B, k6_domain_1(u1_struct_0(B), D)))) ) ) ) ) ) ).
fof(rc1_freealg, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_freealg(A)) ) ).
fof(rc2_freealg, axiom,  (? [A] :  (m1_finseq_1(A, k4_ordinal1) &  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  ( ~ (v2_relat_1(A))  &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ) ) ) ).
fof(rc3_freealg, axiom,  (? [A] :  (m1_finseq_1(A, k4_ordinal1) &  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ) ) ) ).
fof(rc4_freealg, axiom,  (? [A] :  (l1_unialg_1(A) &  ( ~ (v2_struct_0(A))  &  (v1_unialg_1(A) &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & v3_freealg(A)) ) ) ) ) ) ) ).
fof(rc5_freealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v3_freealg(A) & l1_unialg_1(A)) ) ) ) )  =>  (? [B] :  (m1_freealg(B, A) & v2_freealg(B, A)) ) ) ) ).
fof(fc1_freealg, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(A, k4_ordinal1))  =>  ( ~ (v2_struct_0(k3_freealg(A, B)))  & v1_lang1(k3_freealg(A, B))) ) ) ).
fof(fc2_freealg, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(A, k4_ordinal1))  =>  (v1_lang1(k3_freealg(A, B)) & v2_dtconstr(k3_freealg(A, B))) ) ) ).
fof(fc3_freealg, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_relat_1(A))  & m1_finseq_1(A, k4_ordinal1)) )  =>  (v1_lang1(k3_freealg(A, B)) &  (v2_dtconstr(k3_freealg(A, B)) & v3_dtconstr(k3_freealg(A, B))) ) ) ) ).
fof(fc4_freealg, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(A, k4_ordinal1))  &  ( ~ (v1_xboole_0(B))  & v1_freealg(B)) )  =>  (v1_lang1(k3_freealg(A, B)) &  (v1_dtconstr(k3_freealg(A, B)) &  (v2_dtconstr(k3_freealg(A, B)) & v3_dtconstr(k3_freealg(A, B))) ) ) ) ) ).
fof(fc5_freealg, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(A, k4_ordinal1))  &  ( ~ (v1_xboole_0(B))  & v1_freealg(B)) )  =>  ( ~ (v2_struct_0(k7_freealg(A, B)))  &  (v1_unialg_1(k7_freealg(A, B)) &  (v2_unialg_1(k7_freealg(A, B)) &  (v3_unialg_1(k7_freealg(A, B)) &  (v4_unialg_1(k7_freealg(A, B)) & v3_freealg(k7_freealg(A, B))) ) ) ) ) ) ) ).
fof(fc6_freealg, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_relat_1(A))  & m1_finseq_1(A, k4_ordinal1)) )  & v1_freealg(B))  =>  ( ~ (v2_struct_0(k15_freealg(A, B)))  &  (v1_unialg_1(k15_freealg(A, B)) &  (v2_unialg_1(k15_freealg(A, B)) &  (v3_unialg_1(k15_freealg(A, B)) &  (v4_unialg_1(k15_freealg(A, B)) & v3_freealg(k15_freealg(A, B))) ) ) ) ) ) ) ).
fof(rc6_freealg, axiom,  (? [A] :  (l1_unialg_1(A) &  ( ~ (v2_struct_0(A))  &  (v1_unialg_1(A) &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v2_unialg_2(A) & v3_freealg(A)) ) ) ) ) ) ) ) ).
fof(d1_freealg, axiom,  (! [A] :  (v1_freealg(A) <=> r1_xboole_0(A, k4_ordinal1)) ) ).
fof(d2_freealg, axiom,  (! [A] :  (v1_relat_1(A) =>  (v2_relat_1(A) <=>  ~ (r2_tarski(k5_numbers, k10_xtuple_0(A))) ) ) ) ).
fof(d3_freealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k4_finseq_1(u1_unialg_1(A))) => k1_freealg(A, B)=k1_funct_1(u1_unialg_1(A), B)) ) ) ) ) ).
fof(d4_freealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (m1_freealg(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_unialg_2(C, A) & r1_tarski(B, C))  => C=u1_struct_0(A)) ) ) ) ) ) ) ) ).
fof(d5_freealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m1_freealg(B, A) =>  (v2_freealg(B, A) <=>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_unialg_1(C) &  (v3_unialg_1(C) &  (v4_unialg_1(C) & l1_unialg_1(C)) ) ) )  =>  (r1_unialg_2(A, C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(C))))) )  =>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C))))) )  &  (r1_alg_1(A, C, E) & k2_partfun1(u1_struct_0(A), u1_struct_0(C), E, B)=D) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_freealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (v3_freealg(A) <=>  (? [B] :  (m1_freealg(B, A) & v2_freealg(B, A)) ) ) ) ) ).
fof(t1_freealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_unialg_1(A) &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ~ ( (k6_unialg_2(A)=k1_xboole_0 & B=k1_xboole_0) )  =>  (m1_freealg(B, A) <=> k7_unialg_2(A, B)=A) ) ) ) ) ) ).
fof(d7_freealg, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(k4_finseq_1(A), B), k3_finseq_2(k2_xboole_0(k4_finseq_1(A), B))))) =>  (C=k2_freealg(A, B) <=>  (! [D] :  (m1_subset_1(D, k2_xboole_0(k4_finseq_1(A), B)) =>  (! [E] :  (m2_finseq_2(E, k2_xboole_0(k4_finseq_1(A), B), k3_finseq_2(k2_xboole_0(k4_finseq_1(A), B))) =>  (r2_hidden(k4_tarski(D, E), C) <=>  (r2_tarski(D, k4_finseq_1(A)) & k1_funct_1(A, D)=k3_finseq_1(E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_freealg, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] : k3_freealg(A, B)=g1_lang1(k2_xboole_0(k4_finseq_1(A), B), k2_freealg(A, B))) ) ) ).
fof(t2_freealg, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (r1_tarski(k1_lang1(k3_freealg(A, B)), B) & k2_lang1(k3_freealg(A, B))=k4_finseq_1(A)) ) ) ) ).
fof(t3_freealg, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (v1_freealg(B) => k1_lang1(k3_freealg(A, B))=B) ) ) ) ).
fof(d9_freealg, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(A)) => k4_freealg(A, B, C)=C) ) ) ) ) ) ).
fof(d10_freealg, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_freealg(B))  =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_funct_1(D) &  (v2_margrel1(D) &  (v3_margrel1(D, k4_dtconstr(k3_freealg(A, B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(k4_dtconstr(k3_freealg(A, B))), k4_dtconstr(k3_freealg(A, B)))))) ) ) )  =>  (D=k5_freealg(A, B, C) <=>  (k1_relset_1(k3_finseq_2(k4_dtconstr(k3_freealg(A, B))), D)=k4_finseq_2(k7_partfun1(k4_ordinal1, A, C), k4_dtconstr(k3_freealg(A, B))) &  (! [E] :  (m1_trees_4(E, k5_trees_3(u1_struct_0(k3_freealg(A, B))), k4_dtconstr(k3_freealg(A, B))) =>  (r2_tarski(E, k1_relset_1(k3_finseq_2(k4_dtconstr(k3_freealg(A, B))), D)) => k1_funct_1(D, E)=k8_trees_4(u1_struct_0(k3_freealg(A, B)), k4_freealg(A, B, C), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_freealg, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_freealg(B))  =>  (! [C] :  (m2_finseq_1(C, k4_partfun1(k3_finseq_2(k4_dtconstr(k3_freealg(A, B))), k4_dtconstr(k3_freealg(A, B)))) =>  (C=k6_freealg(A, B) <=>  (k3_finseq_1(C)=k3_finseq_1(A) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(C)) => k1_funct_1(C, D)=k5_freealg(A, B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_freealg, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_freealg(B))  => k7_freealg(A, B)=g1_unialg_1(k4_dtconstr(k3_freealg(A, B)), k6_freealg(A, B))) ) ) ) ).
fof(t4_freealg, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_freealg(B))  => k1_unialg_1(k7_freealg(A, B))=A) ) ) ) ).
fof(t5_freealg, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_freealg(B))  =>  ~ (v1_xboole_0(k8_freealg(A, B))) ) ) ) ) ).
fof(d14_freealg, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_freealg(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k3_freealg(A, B))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k9_freealg(A, B), C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k9_freealg(A, B), C)))) )  =>  (r2_tarski(D, k6_dtconstr(k3_freealg(A, B))) => k10_freealg(A, B, C, D, E)=k1_funct_1(E, k2_trees_4(u1_struct_0(k3_freealg(A, B)), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_freealg, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_freealg(A, B))) =>  ( (? [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  & r1_lang1(k3_freealg(A, B), C, D)) )  => k11_freealg(A, B, C)=C) ) ) ) ) ) ).
fof(t6_freealg, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_freealg(B))  => v2_freealg(k9_freealg(A, B), k7_freealg(A, B))) ) ) ) ).
fof(d16_freealg, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_relat_1(A))  & m2_finseq_1(A, k4_ordinal1)) )  =>  (! [B] :  (v1_freealg(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_funct_1(D) &  (v2_margrel1(D) &  (v3_margrel1(D, k4_dtconstr(k3_freealg(A, B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(k4_dtconstr(k3_freealg(A, B))), k4_dtconstr(k3_freealg(A, B)))))) ) ) )  =>  (D=k13_freealg(A, B, C) <=>  (k1_relset_1(k3_finseq_2(k4_dtconstr(k3_freealg(A, B))), D)=k4_finseq_2(k7_partfun1(k4_ordinal1, A, C), k4_dtconstr(k3_freealg(A, B))) &  (! [E] :  (m1_trees_4(E, k5_trees_3(u1_struct_0(k3_freealg(A, B))), k4_dtconstr(k3_freealg(A, B))) =>  (r2_tarski(E, k1_relset_1(k3_finseq_2(k4_dtconstr(k3_freealg(A, B))), D)) => k1_funct_1(D, E)=k8_trees_4(u1_struct_0(k3_freealg(A, B)), k4_freealg(A, B, C), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_freealg, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_relat_1(A))  & m2_finseq_1(A, k4_ordinal1)) )  =>  (! [B] :  (v1_freealg(B) =>  (! [C] :  (m2_finseq_1(C, k4_partfun1(k3_finseq_2(k4_dtconstr(k3_freealg(A, B))), k4_dtconstr(k3_freealg(A, B)))) =>  (C=k14_freealg(A, B) <=>  (k3_finseq_1(C)=k3_finseq_1(A) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(C)) => k1_funct_1(C, D)=k13_freealg(A, B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_freealg, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_relat_1(A))  & m2_finseq_1(A, k4_ordinal1)) )  =>  (! [B] :  (v1_freealg(B) => k15_freealg(A, B)=g1_unialg_1(k4_dtconstr(k3_freealg(A, B)), k14_freealg(A, B))) ) ) ) ).
fof(t7_freealg, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_relat_1(A))  & m2_finseq_1(A, k4_ordinal1)) )  =>  (! [B] :  (v1_freealg(B) => k1_unialg_1(k15_freealg(A, B))=A) ) ) ) ).
fof(t8_freealg, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_relat_1(A))  & m2_finseq_1(A, k4_ordinal1)) )  =>  (! [B] :  (v1_freealg(B) => v2_unialg_2(k15_freealg(A, B))) ) ) ) ).
fof(t9_freealg, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_relat_1(A))  & m2_finseq_1(A, k4_ordinal1)) )  =>  (! [B] :  (v1_freealg(B) =>  ~ (k6_unialg_2(k15_freealg(A, B))=k1_xboole_0) ) ) ) ) ).
fof(d20_freealg, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_relat_1(A))  & m2_finseq_1(A, k4_ordinal1)) )  =>  (! [B] :  (v1_freealg(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k3_freealg(A, B))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k17_freealg(A, B), C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k17_freealg(A, B), C)))) )  =>  (r2_tarski(D, k1_lang1(k3_freealg(A, B))) => k18_freealg(A, B, C, D, E)=k1_funct_1(E, k2_trees_4(u1_struct_0(k3_freealg(A, B)), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_freealg, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_relat_1(A))  & m2_finseq_1(A, k4_ordinal1)) )  =>  (! [B] :  (v1_freealg(B) => v2_freealg(k17_freealg(A, B), k15_freealg(A, B))) ) ) ) ).
fof(dt_k1_freealg, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  & v7_ordinal1(B))  => m5_margrel1(k1_freealg(A, B), u1_struct_0(A), k1_unialg_2(A))) ) ).
fof(dt_m1_freealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m1_freealg(B, A) => m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ).
fof(existence_m1_freealg, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (? [B] : m1_freealg(B, A)) ) ) ).
fof(dt_k2_freealg, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(A, k4_ordinal1))  => m1_subset_1(k2_freealg(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(k4_finseq_1(A), B), k3_finseq_2(k2_xboole_0(k4_finseq_1(A), B)))))) ) ).
fof(dt_k3_freealg, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(A, k4_ordinal1))  =>  (v1_lang1(k3_freealg(A, B)) & l1_lang1(k3_freealg(A, B))) ) ) ).
fof(dt_k4_freealg, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(A, k4_ordinal1))  & v7_ordinal1(C))  => m1_subset_1(k4_freealg(A, B, C), u1_struct_0(k3_freealg(A, B)))) ) ).
fof(dt_k5_freealg, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(A, k4_ordinal1))  &  ( ( ~ (v1_xboole_0(B))  & v1_freealg(B))  & v7_ordinal1(C)) )  =>  ( ~ (v1_xboole_0(k5_freealg(A, B, C)))  &  (v1_funct_1(k5_freealg(A, B, C)) &  (v2_margrel1(k5_freealg(A, B, C)) &  (v3_margrel1(k5_freealg(A, B, C), k4_dtconstr(k3_freealg(A, B))) & m1_subset_1(k5_freealg(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(k4_dtconstr(k3_freealg(A, B))), k4_dtconstr(k3_freealg(A, B)))))) ) ) ) ) ) ).
fof(dt_k6_freealg, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(A, k4_ordinal1))  &  ( ~ (v1_xboole_0(B))  & v1_freealg(B)) )  => m2_finseq_1(k6_freealg(A, B), k4_partfun1(k3_finseq_2(k4_dtconstr(k3_freealg(A, B))), k4_dtconstr(k3_freealg(A, B))))) ) ).
fof(dt_k7_freealg, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(A, k4_ordinal1))  &  ( ~ (v1_xboole_0(B))  & v1_freealg(B)) )  =>  ( ~ (v2_struct_0(k7_freealg(A, B)))  &  (v1_unialg_1(k7_freealg(A, B)) &  (v2_unialg_1(k7_freealg(A, B)) &  (v3_unialg_1(k7_freealg(A, B)) &  (v4_unialg_1(k7_freealg(A, B)) & l1_unialg_1(k7_freealg(A, B))) ) ) ) ) ) ) ).
fof(dt_k8_freealg, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(A, k4_ordinal1))  &  ( ~ (v1_xboole_0(B))  & v1_freealg(B)) )  => m1_subset_1(k8_freealg(A, B), k1_zfmisc_1(u1_struct_0(k7_freealg(A, B))))) ) ).
fof(dt_k9_freealg, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(A, k4_ordinal1))  &  ( ~ (v1_xboole_0(B))  & v1_freealg(B)) )  => m1_freealg(k9_freealg(A, B), k7_freealg(A, B))) ) ).
fof(redefinition_k9_freealg, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(A, k4_ordinal1))  &  ( ~ (v1_xboole_0(B))  & v1_freealg(B)) )  => k9_freealg(A, B)=k8_freealg(A, B)) ) ).
fof(dt_k10_freealg, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(A, k4_ordinal1))  &  ( ( ~ (v1_xboole_0(B))  & v1_freealg(B))  &  ( ~ (v1_xboole_0(C))  &  (m1_subset_1(D, u1_struct_0(k3_freealg(A, B))) &  (v1_funct_1(E) &  (v1_funct_2(E, k9_freealg(A, B), C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k9_freealg(A, B), C)))) ) ) ) ) )  => m1_subset_1(k10_freealg(A, B, C, D, E), C)) ) ).
fof(dt_k11_freealg, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(A, k4_ordinal1))  & m1_subset_1(C, u1_struct_0(k3_freealg(A, B))))  => v7_ordinal1(k11_freealg(A, B, C))) ) ).
fof(dt_k12_freealg, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(A, k4_ordinal1))  &  ( ~ (v1_xboole_0(B))  & v1_freealg(B)) )  =>  (v2_freealg(k12_freealg(A, B), k7_freealg(A, B)) & m1_freealg(k12_freealg(A, B), k7_freealg(A, B))) ) ) ).
fof(redefinition_k12_freealg, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(A, k4_ordinal1))  &  ( ~ (v1_xboole_0(B))  & v1_freealg(B)) )  => k12_freealg(A, B)=k8_freealg(A, B)) ) ).
fof(dt_k13_freealg, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_relat_1(A))  & m1_finseq_1(A, k4_ordinal1)) )  &  (v1_freealg(B) & v7_ordinal1(C)) )  =>  ( ~ (v1_xboole_0(k13_freealg(A, B, C)))  &  (v1_funct_1(k13_freealg(A, B, C)) &  (v2_margrel1(k13_freealg(A, B, C)) &  (v3_margrel1(k13_freealg(A, B, C), k4_dtconstr(k3_freealg(A, B))) & m1_subset_1(k13_freealg(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(k4_dtconstr(k3_freealg(A, B))), k4_dtconstr(k3_freealg(A, B)))))) ) ) ) ) ) ).
fof(dt_k14_freealg, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_relat_1(A))  & m1_finseq_1(A, k4_ordinal1)) )  & v1_freealg(B))  => m2_finseq_1(k14_freealg(A, B), k4_partfun1(k3_finseq_2(k4_dtconstr(k3_freealg(A, B))), k4_dtconstr(k3_freealg(A, B))))) ) ).
fof(dt_k15_freealg, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_relat_1(A))  & m1_finseq_1(A, k4_ordinal1)) )  & v1_freealg(B))  =>  ( ~ (v2_struct_0(k15_freealg(A, B)))  &  (v1_unialg_1(k15_freealg(A, B)) &  (v2_unialg_1(k15_freealg(A, B)) &  (v3_unialg_1(k15_freealg(A, B)) &  (v4_unialg_1(k15_freealg(A, B)) & l1_unialg_1(k15_freealg(A, B))) ) ) ) ) ) ) ).
fof(dt_k16_freealg, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_relat_1(A))  & m1_finseq_1(A, k4_ordinal1)) )  & v1_freealg(B))  => m1_subset_1(k16_freealg(A, B), k1_zfmisc_1(u1_struct_0(k15_freealg(A, B))))) ) ).
fof(dt_k17_freealg, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_relat_1(A))  & m1_finseq_1(A, k4_ordinal1)) )  & v1_freealg(B))  => m1_freealg(k17_freealg(A, B), k15_freealg(A, B))) ) ).
fof(redefinition_k17_freealg, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_relat_1(A))  & m1_finseq_1(A, k4_ordinal1)) )  & v1_freealg(B))  => k17_freealg(A, B)=k16_freealg(A, B)) ) ).
fof(dt_k18_freealg, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_relat_1(A))  & m1_finseq_1(A, k4_ordinal1)) )  &  (v1_freealg(B) &  ( ~ (v1_xboole_0(C))  &  (m1_subset_1(D, u1_struct_0(k3_freealg(A, B))) &  (v1_funct_1(E) &  (v1_funct_2(E, k17_freealg(A, B), C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k17_freealg(A, B), C)))) ) ) ) ) )  => m1_subset_1(k18_freealg(A, B, C, D, E), C)) ) ).
fof(dt_k19_freealg, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_relat_1(A))  & m1_finseq_1(A, k4_ordinal1)) )  & v1_freealg(B))  =>  (v2_freealg(k19_freealg(A, B), k15_freealg(A, B)) & m1_freealg(k19_freealg(A, B), k15_freealg(A, B))) ) ) ).
fof(redefinition_k19_freealg, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_relat_1(A))  & m1_finseq_1(A, k4_ordinal1)) )  & v1_freealg(B))  => k19_freealg(A, B)=k16_freealg(A, B)) ) ).
fof(d13_freealg, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_freealg(B))  => k8_freealg(A, B)=a_2_0_freealg(A, B)) ) ) ) ).
fof(d19_freealg, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_relat_1(A))  & m2_finseq_1(A, k4_ordinal1)) )  =>  (! [B] :  (v1_freealg(B) => k16_freealg(A, B)=a_2_1_freealg(A, B)) ) ) ) ).
fof(fraenkel_a_2_0_freealg, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, k4_ordinal1))  &  ( ~ (v1_xboole_0(C))  & v1_freealg(C)) )  =>  (r2_hidden(A, a_2_0_freealg(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(k3_freealg(B, C))) &  (A=k2_trees_4(u1_struct_0(k3_freealg(B, C)), D) & r2_tarski(D, k6_dtconstr(k3_freealg(B, C)))) ) ) ) ) ) ).
fof(fraenkel_a_2_1_freealg, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  ( ~ (v2_relat_1(B))  & m2_finseq_1(B, k4_ordinal1)) )  & v1_freealg(C))  =>  (r2_hidden(A, a_2_1_freealg(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(k3_freealg(B, C))) &  (A=k2_trees_4(u1_struct_0(k3_freealg(B, C)), D) & r2_tarski(D, k1_lang1(k3_freealg(B, C)))) ) ) ) ) ) ).
fof(fc1_friends1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_finset_1(A))  => v1_finset_1(k9_relat_1(A, B))) ) ).
fof(rc1_friends1, axiom,  (? [A] :  (v1_relat_1(A) &  (v2_relat_2(A) &  (v3_relat_2(A) &  (v1_finset_1(A) & v3_friends1(A)) ) ) ) ) ).
fof(t1_friends1, axiom,  (! [A] :  (v1_relat_1(A) => k1_card_1(A)=k1_card_1(k2_relat_1(A))) ) ).
fof(t2_friends1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (v3_relat_2(B) => k7_relat_1(B, A)=k8_relat_1(B, A)) ) ) ) ).
fof(t3_friends1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  ( (k7_finseq_1(k1_rfinseq(A, C), k16_finseq_1(A, C))=k7_finseq_1(k1_rfinseq(B, D), k16_finseq_1(B, D)) &  (r1_xxreal_0(A, B) & r1_xxreal_0(B, k3_finseq_1(C))) )  => C=k7_finseq_1(k1_rfinseq(k7_nat_d(B, A), D), k16_finseq_1(k7_nat_d(B, A), D))) ) ) ) ) ) ) ) ) ).
fof(t4_friends1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ( (r2_tarski(A, k4_finseq_1(C)) & B=k7_finseq_1(k1_rfinseq(A, C), k16_finseq_1(A, C)))  => C=k7_finseq_1(k1_rfinseq(k7_nat_d(k3_finseq_1(B), A), B), k16_finseq_1(k7_nat_d(k3_finseq_1(B), A), B))) ) ) ) ) ) ) ).
fof(t5_friends1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  ~ ( (k7_finseq_1(k1_rfinseq(A, C), k16_finseq_1(A, C))=k7_finseq_1(k1_rfinseq(B, D), k16_finseq_1(B, D)) &  (! [E] :  (v7_ordinal1(E) =>  ~ (C=k7_finseq_1(k1_rfinseq(E, D), k16_finseq_1(E, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_friends1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_int_2(k3_finseq_1(A)) =>  ( (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  ( ~ (r1_xxreal_0(k3_finseq_1(A), B))  & A=k7_finseq_1(k1_rfinseq(B, A), k16_finseq_1(B, A))) ) ) ) )  | r1_tarski(k10_xtuple_0(A), k1_tarski(k1_funct_1(A, 1)))) ) ) ) ).
fof(d1_friends1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (m1_subset_1(B, k1_relat_1(A)) =>  (v1_friends1(B, A) <=>  (! [C] :  (r2_hidden(C, k6_subset_1(k1_relat_1(A), k1_tarski(B))) => r2_hidden(k4_tarski(B, C), A)) ) ) ) ) ) ) ).
fof(d2_friends1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v2_friends1(A) <=>  (? [B] :  (m1_subset_1(B, k1_relat_1(A)) & v1_friends1(B, A)) ) ) ) ) ).
fof(d3_friends1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v3_friends1(A) <=>  (! [B] :  (! [C] :  ~ ( (r2_hidden(B, k1_relat_1(A)) &  (r2_hidden(C, k1_relat_1(A)) &  ( ~ (B=C)  &  (! [D] :  ~ (k3_xboole_0(k9_relat_1(A, B), k10_relat_1(A, C))=k1_tarski(D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_friends1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_2(B) &  (v3_relat_2(B) &  (v1_finset_1(B) & v3_friends1(B)) ) ) )  => r1_nat_d(2, k4_card_1(k9_relat_1(B, A)))) ) ) ).
fof(t9_friends1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_2(C) &  (v3_relat_2(C) &  (v1_finset_1(C) & v3_friends1(C)) ) ) )  =>  ( (r2_hidden(A, k1_relat_1(C)) & r2_hidden(B, k1_relat_1(C)))  =>  (r2_hidden(k4_tarski(A, B), C) | k4_card_1(k9_relat_1(C, A))=k4_card_1(k9_relat_1(C, B))) ) ) ) ) ) ).
fof(t10_friends1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_2(B) &  (v3_relat_2(B) &  (v1_finset_1(B) & v3_friends1(B)) ) ) )  =>  ~ ( ( ~ (v2_friends1(B))  &  (r2_hidden(A, k1_relat_1(B)) & r1_xxreal_0(k4_card_1(k9_relat_1(B, A)), 2)) ) ) ) ) ) ).
fof(t11_friends1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_2(C) &  (v3_relat_2(C) &  (v1_finset_1(C) & v3_friends1(C)) ) ) )  =>  ( (r2_hidden(A, k1_relat_1(C)) & r2_hidden(B, k1_relat_1(C)))  =>  (v2_friends1(C) | k4_card_1(k9_relat_1(C, A))=k4_card_1(k9_relat_1(C, B))) ) ) ) ) ) ).
fof(t12_friends1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_2(B) &  (v3_relat_2(B) &  (v1_finset_1(B) & v3_friends1(B)) ) ) )  =>  (r2_hidden(A, k1_relat_1(B)) =>  (v2_friends1(B) | k4_card_1(k1_relat_1(B))=k2_xcmplx_0(1, k3_xcmplx_0(k4_card_1(k9_relat_1(B, A)), k6_xcmplx_0(k4_card_1(k9_relat_1(B, A)), 1)))) ) ) ) ) ).
fof(t13_friends1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_2(A) &  (v3_relat_2(A) &  (v1_finset_1(A) & v3_friends1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_relat_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_relat_1(A)) =>  ~ ( (v1_friends1(B, A) &  ( ~ (B=C)  &  (! [D] :  ~ ( (k9_relat_1(A, C)=k2_tarski(B, D) & k9_relat_1(A, D)=k2_tarski(B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_friends1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_2(A) &  (v3_relat_2(A) &  (v1_finset_1(A) & v3_friends1(A)) ) ) )  =>  ( ~ (v1_xboole_0(A))  => v2_friends1(A)) ) ) ).
fof(dt_f1_s1_friends1, axiom,  ~ (v1_xboole_0(f1_s1_friends1)) ).
fof(dt_f2_s1_friends1, axiom,  (v7_ordinal1(f2_s1_friends1) &  ~ (v8_ordinal1(f2_s1_friends1)) ) ).
fof(t6_friends1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(C))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k1_zfmisc_1(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k1_zfmisc_1(C))))) )  =>  ( (! [F] :  (r2_hidden(F, C) => k1_card_1(k1_funct_1(E, F))=B) )  => k1_card_1(a_4_0_friends1(A, C, D, E))=k3_xcmplx_0(k4_card_1(D), k1_newton(B, A))) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_friends1, axiom,  ( ( (! [A] :  (m2_finseq_1(A, f1_s1_friends1) =>  (! [B] :  (m2_finseq_1(B, f1_s1_friends1) =>  ( (v3_card_1(k8_finseq_1(f1_s1_friends1, A, B), f2_s1_friends1) & p1_s1_friends1(k8_finseq_1(f1_s1_friends1, A, B)))  => p1_s1_friends1(k8_finseq_1(f1_s1_friends1, B, A))) ) ) ) )  &  (! [A] :  (m2_finseq_2(A, f1_s1_friends1, k4_finseq_2(f2_s1_friends1, f1_s1_friends1)) =>  (p1_s1_friends1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (A=k8_finseq_1(f1_s1_friends1, k2_rfinseq(f1_s1_friends1, B, A), k17_finseq_1(f1_s1_friends1, B, A)) =>  (r1_xxreal_0(f2_s1_friends1, B) | B=k5_numbers) ) ) ) ) ) ) )  =>  (? [A] :  (v1_card_1(A) & k2_card_2(f2_s1_friends1, A)=k1_card_1(a_0_0_friends1)) ) ) ).
fof(fraenkel_a_4_0_friends1, axiom,  (! [A, B, C, D, E] :  ( (v7_ordinal1(B) &  ( ~ (v1_xboole_0(C))  &  ( ( ~ (v1_xboole_0(D))  &  (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(C))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, C, k1_zfmisc_1(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k1_zfmisc_1(C))))) ) ) ) )  =>  (r2_hidden(A, a_4_0_friends1(B, C, D, E)) <=>  (? [F] :  (m2_finseq_2(F, C, k4_finseq_2(k2_xcmplx_0(B, 1), C)) &  (A=F &  (r2_tarski(k1_funct_1(F, 1), D) &  (! [G] :  (v7_ordinal1(G) =>  (r2_tarski(G, k2_finseq_1(B)) => r2_tarski(k1_funct_1(F, k2_xcmplx_0(G, 1)), k1_funct_1(E, k1_funct_1(F, G)))) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_0_0_friends1, axiom,  (! [A] :  (r2_hidden(A, a_0_0_friends1) <=>  (? [B] :  (m2_finseq_2(B, f1_s1_friends1, k4_finseq_2(f2_s1_friends1, f1_s1_friends1)) &  (A=B & p1_s1_friends1(B)) ) ) ) ) ).
fof(d1_fscirc_1, axiom,  (! [A] :  (! [B] :  (! [C] : k1_fscirc_1(A, B, C)=k9_facirc_1(A, B, C, k1_facirc_1)) ) ) ).
fof(d2_fscirc_1, axiom,  (! [A] :  (! [B] :  (! [C] : k2_fscirc_1(A, B, C)=k10_facirc_1(A, B, C, k1_facirc_1)) ) ) ).
fof(d3_fscirc_1, axiom,  (! [A] :  (! [B] :  (! [C] : k3_fscirc_1(A, B, C)=k2_circcomb(k2_circcomb(k5_circcomb(k2_twoscomp, k10_finseq_1(A, B)), k5_circcomb(k3_facirc_1, k10_finseq_1(B, C))), k5_circcomb(k2_twoscomp, k10_finseq_1(A, C)))) ) ) ).
fof(d4_fscirc_1, axiom,  (! [A] :  (! [B] :  (! [C] : k4_fscirc_1(A, B, C)=k2_circcomb(k3_fscirc_1(A, B, C), k5_circcomb(k4_facirc_1, k11_finseq_1(k4_tarski(k10_finseq_1(A, B), k2_twoscomp), k4_tarski(k10_finseq_1(B, C), k3_facirc_1), k4_tarski(k10_finseq_1(A, C), k2_twoscomp))))) ) ) ).
fof(d5_fscirc_1, axiom,  (! [A] :  (! [B] :  (! [C] : k5_fscirc_1(A, B, C)=k3_circcomb(k2_circcomb(k5_circcomb(k2_twoscomp, k10_finseq_1(A, B)), k5_circcomb(k3_facirc_1, k10_finseq_1(B, C))), k5_circcomb(k2_twoscomp, k10_finseq_1(A, C)), k3_circcomb(k5_circcomb(k2_twoscomp, k10_finseq_1(A, B)), k5_circcomb(k3_facirc_1, k10_finseq_1(B, C)), k6_facirc_1(A, B, k2_twoscomp), k6_facirc_1(B, C, k3_facirc_1)), k6_facirc_1(A, C, k2_twoscomp))) ) ) ).
fof(t1_fscirc_1, axiom,  (! [A] :  (! [B] :  (! [C] : v1_relat_1(k3_msafree2(k4_fscirc_1(A, B, C)))) ) ) ).
fof(t2_fscirc_1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  ~ (v1_facirc_1(k2_msafree2(k4_fscirc_1(A, B, C)))) ) ) ) ) ) ) ).
fof(t3_fscirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k3_fscirc_1(A, B, C), k5_fscirc_1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  ( (E=k1_funct_1(D, A) & F=k1_funct_1(D, B))  => k1_funct_1(k6_circuit2(k3_fscirc_1(A, B, C), k5_fscirc_1(A, B, C), D), k4_tarski(k10_finseq_1(A, B), k2_twoscomp))=k9_margrel1(k8_margrel1(E), F)) ) ) ) ) ) ) ) ) ) ).
fof(t4_fscirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k3_fscirc_1(A, B, C), k5_fscirc_1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  ( (E=k1_funct_1(D, B) & F=k1_funct_1(D, C))  => k1_funct_1(k6_circuit2(k3_fscirc_1(A, B, C), k5_fscirc_1(A, B, C), D), k4_tarski(k10_finseq_1(B, C), k3_facirc_1))=k9_margrel1(E, F)) ) ) ) ) ) ) ) ) ) ).
fof(t5_fscirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k3_fscirc_1(A, B, C), k5_fscirc_1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  ( (E=k1_funct_1(D, A) & F=k1_funct_1(D, C))  => k1_funct_1(k6_circuit2(k3_fscirc_1(A, B, C), k5_fscirc_1(A, B, C), D), k4_tarski(k10_finseq_1(A, C), k2_twoscomp))=k9_margrel1(k8_margrel1(E), F)) ) ) ) ) ) ) ) ) ) ).
fof(d6_fscirc_1, axiom,  (! [A] :  (! [B] :  (! [C] : k6_fscirc_1(A, B, C)=k4_tarski(k11_finseq_1(k4_tarski(k10_finseq_1(A, B), k2_twoscomp), k4_tarski(k10_finseq_1(B, C), k3_facirc_1), k4_tarski(k10_finseq_1(A, C), k2_twoscomp)), k4_facirc_1)) ) ) ).
fof(d7_fscirc_1, axiom,  (! [A] :  (! [B] :  (! [C] : k7_fscirc_1(A, B, C)=k3_circcomb(k3_fscirc_1(A, B, C), k5_circcomb(k4_facirc_1, k11_finseq_1(k4_tarski(k10_finseq_1(A, B), k2_twoscomp), k4_tarski(k10_finseq_1(B, C), k3_facirc_1), k4_tarski(k10_finseq_1(A, C), k2_twoscomp))), k5_fscirc_1(A, B, C), k7_facirc_1(k4_tarski(k10_finseq_1(A, B), k2_twoscomp), k4_tarski(k10_finseq_1(B, C), k3_facirc_1), k4_tarski(k10_finseq_1(A, C), k2_twoscomp), k4_facirc_1))) ) ) ).
fof(t6_fscirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_tarski(A, u1_struct_0(k4_fscirc_1(A, B, C))) &  (r2_tarski(B, u1_struct_0(k4_fscirc_1(A, B, C))) & r2_tarski(C, u1_struct_0(k4_fscirc_1(A, B, C)))) ) ) ) ) ).
fof(t7_fscirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k2_twoscomp), k3_msafree2(k4_fscirc_1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(B, C), k3_facirc_1), k3_msafree2(k4_fscirc_1(A, B, C))) & r2_hidden(k4_tarski(k10_finseq_1(A, C), k2_twoscomp), k3_msafree2(k4_fscirc_1(A, B, C)))) ) ) ) ) ).
fof(t8_fscirc_1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (r2_tarski(A, k2_msafree2(k4_fscirc_1(A, B, C))) &  (r2_tarski(B, k2_msafree2(k4_fscirc_1(A, B, C))) & r2_tarski(C, k2_msafree2(k4_fscirc_1(A, B, C)))) ) ) ) ) ) ) ) ).
fof(t9_fscirc_1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (k2_msafree2(k4_fscirc_1(A, B, C))=k1_enumset1(A, B, C) & k3_msafree2(k4_fscirc_1(A, B, C))=k2_xboole_0(k1_enumset1(k4_tarski(k10_finseq_1(A, B), k2_twoscomp), k4_tarski(k10_finseq_1(B, C), k3_facirc_1), k4_tarski(k10_finseq_1(A, C), k2_twoscomp)), k1_tarski(k6_fscirc_1(A, B, C)))) ) ) ) ) ) ) ).
fof(t10_fscirc_1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k4_fscirc_1(A, B, C), k7_fscirc_1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  ( (E=k1_funct_1(D, A) & F=k1_funct_1(D, B))  => k1_funct_1(k6_circuit2(k4_fscirc_1(A, B, C), k7_fscirc_1(A, B, C), D), k4_tarski(k10_finseq_1(A, B), k2_twoscomp))=k9_margrel1(k8_margrel1(E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_fscirc_1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k4_fscirc_1(A, B, C), k7_fscirc_1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  ( (E=k1_funct_1(D, B) & F=k1_funct_1(D, C))  => k1_funct_1(k6_circuit2(k4_fscirc_1(A, B, C), k7_fscirc_1(A, B, C), D), k4_tarski(k10_finseq_1(B, C), k3_facirc_1))=k9_margrel1(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_fscirc_1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k4_fscirc_1(A, B, C), k7_fscirc_1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  ( (E=k1_funct_1(D, A) & F=k1_funct_1(D, C))  => k1_funct_1(k6_circuit2(k4_fscirc_1(A, B, C), k7_fscirc_1(A, B, C), D), k4_tarski(k10_finseq_1(A, C), k2_twoscomp))=k9_margrel1(k8_margrel1(E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_fscirc_1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k4_fscirc_1(A, B, C), k7_fscirc_1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  (! [G] :  (m1_subset_1(G, k5_margrel1) =>  ( (E=k1_funct_1(D, k4_tarski(k10_finseq_1(A, B), k2_twoscomp)) &  (F=k1_funct_1(D, k4_tarski(k10_finseq_1(B, C), k3_facirc_1)) & G=k1_funct_1(D, k4_tarski(k10_finseq_1(A, C), k2_twoscomp))) )  => k11_facirc_1(k4_fscirc_1(A, B, C), k7_fscirc_1(A, B, C), k6_circuit2(k4_fscirc_1(A, B, C), k7_fscirc_1(A, B, C), D), k6_fscirc_1(A, B, C))=k1_binarith(k1_binarith(E, F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_fscirc_1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k4_fscirc_1(A, B, C), k7_fscirc_1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  ( (E=k1_funct_1(D, A) & F=k1_funct_1(D, B))  => k1_funct_1(k5_facirc_1(k4_fscirc_1(A, B, C), k7_fscirc_1(A, B, C), D, 2), k4_tarski(k10_finseq_1(A, B), k2_twoscomp))=k9_margrel1(k8_margrel1(E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_fscirc_1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k4_fscirc_1(A, B, C), k7_fscirc_1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  ( (E=k1_funct_1(D, B) & F=k1_funct_1(D, C))  => k1_funct_1(k5_facirc_1(k4_fscirc_1(A, B, C), k7_fscirc_1(A, B, C), D, 2), k4_tarski(k10_finseq_1(B, C), k3_facirc_1))=k9_margrel1(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_fscirc_1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k4_fscirc_1(A, B, C), k7_fscirc_1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  ( (E=k1_funct_1(D, A) & F=k1_funct_1(D, C))  => k1_funct_1(k5_facirc_1(k4_fscirc_1(A, B, C), k7_fscirc_1(A, B, C), D, 2), k4_tarski(k10_finseq_1(A, C), k2_twoscomp))=k9_margrel1(k8_margrel1(E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_fscirc_1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k4_fscirc_1(A, B, C), k7_fscirc_1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  (! [G] :  (m1_subset_1(G, k5_margrel1) =>  ( (E=k1_funct_1(D, A) &  (F=k1_funct_1(D, B) & G=k1_funct_1(D, C)) )  => k11_facirc_1(k4_fscirc_1(A, B, C), k7_fscirc_1(A, B, C), k5_facirc_1(k4_fscirc_1(A, B, C), k7_fscirc_1(A, B, C), D, 2), k6_fscirc_1(A, B, C))=k1_binarith(k1_binarith(k9_margrel1(k8_margrel1(E), F), k9_margrel1(F, G)), k9_margrel1(k8_margrel1(E), G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_fscirc_1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k4_fscirc_1(A, B, C), k7_fscirc_1(A, B, C)))) => v1_circuit2(k5_facirc_1(k4_fscirc_1(A, B, C), k7_fscirc_1(A, B, C), D, 2), k4_fscirc_1(A, B, C), k7_fscirc_1(A, B, C))) ) ) ) ) ) ) ) ).
fof(d8_fscirc_1, axiom,  (! [A] :  (! [B] :  (! [C] : k8_fscirc_1(A, B, C)=k2_circcomb(k8_facirc_1(A, B, C, k1_facirc_1), k4_fscirc_1(A, B, C))) ) ) ).
fof(t19_fscirc_1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  => k2_msafree2(k8_fscirc_1(A, B, C))=k1_enumset1(A, B, C)) ) ) ) ) ) ).
fof(t20_fscirc_1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  => k3_msafree2(k8_fscirc_1(A, B, C))=k2_xboole_0(k2_xboole_0(k2_tarski(k4_tarski(k10_finseq_1(A, B), k1_facirc_1), k9_facirc_1(A, B, C, k1_facirc_1)), k1_enumset1(k4_tarski(k10_finseq_1(A, B), k2_twoscomp), k4_tarski(k10_finseq_1(B, C), k3_facirc_1), k4_tarski(k10_finseq_1(A, C), k2_twoscomp))), k1_tarski(k6_fscirc_1(A, B, C)))) ) ) ) ) ) ).
fof(t21_fscirc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ( ~ (v2_struct_0(D))  & l1_msualg_1(D))  =>  (D=k8_fscirc_1(A, B, C) =>  (r2_tarski(A, u1_struct_0(D)) &  (r2_tarski(B, u1_struct_0(D)) & r2_tarski(C, u1_struct_0(D))) ) ) ) ) ) ) ) ).
fof(d9_fscirc_1, axiom,  (! [A] :  (! [B] :  (! [C] : k9_fscirc_1(A, B, C)=k3_circcomb(k8_facirc_1(A, B, C, k1_facirc_1), k4_fscirc_1(A, B, C), k2_fscirc_1(A, B, C), k7_fscirc_1(A, B, C))) ) ) ).
fof(t22_fscirc_1, axiom,  (! [A] :  (! [B] :  (! [C] : v1_relat_1(k3_msafree2(k8_fscirc_1(A, B, C)))) ) ) ).
fof(t23_fscirc_1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  ~ (v1_facirc_1(k2_msafree2(k8_fscirc_1(A, B, C)))) ) ) ) ) ) ) ).
fof(t24_fscirc_1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k8_fscirc_1(A, B, C), k9_fscirc_1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  (! [G] :  (m1_subset_1(G, k5_margrel1) =>  ( (E=k1_funct_1(D, A) &  (F=k1_funct_1(D, B) & G=k1_funct_1(D, C)) )  =>  (k1_funct_1(k5_facirc_1(k8_fscirc_1(A, B, C), k9_fscirc_1(A, B, C), D, 2), k1_fscirc_1(A, B, C))=k2_binarith(k2_binarith(E, F), G) & k1_funct_1(k5_facirc_1(k8_fscirc_1(A, B, C), k9_fscirc_1(A, B, C), D, 2), k6_fscirc_1(A, B, C))=k1_binarith(k1_binarith(k9_margrel1(k8_margrel1(E), F), k9_margrel1(F, G)), k9_margrel1(k8_margrel1(E), G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_fscirc_1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k8_fscirc_1(A, B, C), k9_fscirc_1(A, B, C)))) => v1_circuit2(k5_facirc_1(k8_fscirc_1(A, B, C), k9_fscirc_1(A, B, C), D, 2), k8_fscirc_1(A, B, C), k9_fscirc_1(A, B, C))) ) ) ) ) ) ) ) ).
fof(dt_k1_fscirc_1, axiom,  (! [A, B, C] : m2_subset_1(k1_fscirc_1(A, B, C), u1_struct_0(k8_facirc_1(A, B, C, k1_facirc_1)), k3_msafree2(k8_facirc_1(A, B, C, k1_facirc_1)))) ).
fof(dt_k2_fscirc_1, axiom,  (! [A, B, C] :  (v3_msualg_1(k2_fscirc_1(A, B, C), k8_facirc_1(A, B, C, k1_facirc_1)) &  (v4_msafree2(k2_fscirc_1(A, B, C), k8_facirc_1(A, B, C, k1_facirc_1)) &  (v4_circcomb(k2_fscirc_1(A, B, C), k8_facirc_1(A, B, C, k1_facirc_1)) &  (v6_circcomb(k2_fscirc_1(A, B, C), k8_facirc_1(A, B, C, k1_facirc_1)) & l3_msualg_1(k2_fscirc_1(A, B, C), k8_facirc_1(A, B, C, k1_facirc_1))) ) ) ) ) ).
fof(dt_k3_fscirc_1, axiom,  (! [A, B, C] :  ( ~ (v2_struct_0(k3_fscirc_1(A, B, C)))  &  ( ~ (v11_struct_0(k3_fscirc_1(A, B, C)))  &  (v1_msualg_1(k3_fscirc_1(A, B, C)) &  (v1_circcomb(k3_fscirc_1(A, B, C)) &  (v2_circcomb(k3_fscirc_1(A, B, C)) &  (v3_circcomb(k3_fscirc_1(A, B, C)) & l1_msualg_1(k3_fscirc_1(A, B, C))) ) ) ) ) ) ) ).
fof(dt_k4_fscirc_1, axiom,  (! [A, B, C] :  ( ~ (v2_struct_0(k4_fscirc_1(A, B, C)))  &  ( ~ (v11_struct_0(k4_fscirc_1(A, B, C)))  &  (v1_msualg_1(k4_fscirc_1(A, B, C)) &  (v1_circcomb(k4_fscirc_1(A, B, C)) &  (v2_circcomb(k4_fscirc_1(A, B, C)) &  (v3_circcomb(k4_fscirc_1(A, B, C)) & l1_msualg_1(k4_fscirc_1(A, B, C))) ) ) ) ) ) ) ).
fof(dt_k5_fscirc_1, axiom,  (! [A, B, C] :  (v3_msualg_1(k5_fscirc_1(A, B, C), k3_fscirc_1(A, B, C)) &  (v4_msafree2(k5_fscirc_1(A, B, C), k3_fscirc_1(A, B, C)) &  (v4_circcomb(k5_fscirc_1(A, B, C), k3_fscirc_1(A, B, C)) &  (v6_circcomb(k5_fscirc_1(A, B, C), k3_fscirc_1(A, B, C)) & l3_msualg_1(k5_fscirc_1(A, B, C), k3_fscirc_1(A, B, C))) ) ) ) ) ).
fof(dt_k6_fscirc_1, axiom,  (! [A, B, C] : m2_subset_1(k6_fscirc_1(A, B, C), u1_struct_0(k4_fscirc_1(A, B, C)), k3_msafree2(k4_fscirc_1(A, B, C)))) ).
fof(dt_k7_fscirc_1, axiom,  (! [A, B, C] :  (v3_msualg_1(k7_fscirc_1(A, B, C), k4_fscirc_1(A, B, C)) &  (v4_msafree2(k7_fscirc_1(A, B, C), k4_fscirc_1(A, B, C)) &  (v4_circcomb(k7_fscirc_1(A, B, C), k4_fscirc_1(A, B, C)) &  (v6_circcomb(k7_fscirc_1(A, B, C), k4_fscirc_1(A, B, C)) & l3_msualg_1(k7_fscirc_1(A, B, C), k4_fscirc_1(A, B, C))) ) ) ) ) ).
fof(dt_k8_fscirc_1, axiom,  (! [A, B, C] :  ( ~ (v2_struct_0(k8_fscirc_1(A, B, C)))  &  ( ~ (v11_struct_0(k8_fscirc_1(A, B, C)))  &  (v1_msualg_1(k8_fscirc_1(A, B, C)) &  (v1_circcomb(k8_fscirc_1(A, B, C)) &  (v2_circcomb(k8_fscirc_1(A, B, C)) &  (v3_circcomb(k8_fscirc_1(A, B, C)) & l1_msualg_1(k8_fscirc_1(A, B, C))) ) ) ) ) ) ) ).
fof(dt_k9_fscirc_1, axiom,  (! [A, B, C] :  (v3_msualg_1(k9_fscirc_1(A, B, C), k8_fscirc_1(A, B, C)) &  (v4_msafree2(k9_fscirc_1(A, B, C), k8_fscirc_1(A, B, C)) &  (v4_circcomb(k9_fscirc_1(A, B, C), k8_fscirc_1(A, B, C)) &  (v6_circcomb(k9_fscirc_1(A, B, C), k8_fscirc_1(A, B, C)) & l3_msualg_1(k9_fscirc_1(A, B, C), k8_fscirc_1(A, B, C))) ) ) ) ) ).
fof(fc1_fscirc_2, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) )  => v1_xtuple_0(k3_fscirc_2(A, B, C))) ) ).
fof(d1_fscirc_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v1_msualg_1(D) &  (v1_circcomb(D) &  (v2_circcomb(D) &  (v3_circcomb(D) & l1_msualg_1(D)) ) ) ) ) )  =>  (D=k1_fscirc_2(A, B, C) <=>  (? [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v1_funct_1(E) & v1_partfun1(E, k4_ordinal1)) ) )  &  (? [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, k4_ordinal1) &  (v1_funct_1(F) & v1_partfun1(F, k4_ordinal1)) ) )  &  (D=k1_funct_1(E, A) &  (k1_funct_1(E, k5_numbers)=k5_circcomb(k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1), k1_xboole_0) &  (k1_funct_1(F, k5_numbers)=k4_tarski(k1_xboole_0, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1)) &  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  ( ( ~ (v2_struct_0(H))  & l1_msualg_1(H))  =>  (! [I] :  ( (H=k1_funct_1(E, G) & I=k1_funct_1(F, G))  =>  (k1_funct_1(E, k1_nat_1(G, 1))=k2_circcomb(H, k8_fscirc_1(k1_funct_1(B, k1_nat_1(G, 1)), k1_funct_1(C, k1_nat_1(G, 1)), I)) & k1_funct_1(F, k1_nat_1(G, 1))=k6_fscirc_1(k1_funct_1(B, k1_nat_1(G, 1)), k1_funct_1(C, k1_nat_1(G, 1)), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_fscirc_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v3_msualg_1(D, k1_fscirc_2(A, B, C)) &  (v4_msafree2(D, k1_fscirc_2(A, B, C)) &  (v4_circcomb(D, k1_fscirc_2(A, B, C)) &  (v6_circcomb(D, k1_fscirc_2(A, B, C)) & l3_msualg_1(D, k1_fscirc_2(A, B, C))) ) ) )  =>  (D=k2_fscirc_2(A, B, C) <=>  (? [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v1_funct_1(E) & v1_partfun1(E, k4_ordinal1)) ) )  &  (? [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, k4_ordinal1) &  (v1_funct_1(F) & v1_partfun1(F, k4_ordinal1)) ) )  &  (? [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, k4_ordinal1) &  (v1_funct_1(G) & v1_partfun1(G, k4_ordinal1)) ) )  &  (k1_fscirc_2(A, B, C)=k1_funct_1(E, A) &  (D=k1_funct_1(F, A) &  (k1_funct_1(E, k5_numbers)=k5_circcomb(k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1), k1_xboole_0) &  (k1_funct_1(F, k5_numbers)=k7_circcomb(k5_ordinal1, k5_margrel1, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1), k1_xboole_0) &  (k1_funct_1(G, k5_numbers)=k4_tarski(k1_xboole_0, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1)) &  (! [H] :  (v7_ordinal1(H) =>  (! [I] :  ( ( ~ (v2_struct_0(I))  & l1_msualg_1(I))  =>  (! [J] :  ( (v4_msualg_1(J, I) & l3_msualg_1(J, I))  =>  (! [K] :  ( (I=k1_funct_1(E, H) &  (J=k1_funct_1(F, H) & K=k1_funct_1(G, H)) )  =>  (k1_funct_1(E, k1_nat_1(H, 1))=k2_circcomb(I, k8_fscirc_1(k1_funct_1(B, k1_nat_1(H, 1)), k1_funct_1(C, k1_nat_1(H, 1)), K)) &  (k1_funct_1(F, k1_nat_1(H, 1))=k3_circcomb(I, k8_fscirc_1(k1_funct_1(B, k1_nat_1(H, 1)), k1_funct_1(C, k1_nat_1(H, 1)), K), J, k9_fscirc_1(k1_funct_1(B, k1_nat_1(H, 1)), k1_funct_1(C, k1_nat_1(H, 1)), K)) & k1_funct_1(G, k1_nat_1(H, 1))=k6_fscirc_1(k1_funct_1(B, k1_nat_1(H, 1)), k1_funct_1(C, k1_nat_1(H, 1)), K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_fscirc_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  (m2_subset_1(D, u1_struct_0(k1_fscirc_2(A, B, C)), k3_msafree2(k1_fscirc_2(A, B, C))) =>  (D=k3_fscirc_2(A, B, C) <=>  (? [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v1_funct_1(E) & v1_partfun1(E, k4_ordinal1)) ) )  &  (D=k1_funct_1(E, A) &  (k1_funct_1(E, k5_numbers)=k4_tarski(k1_xboole_0, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1)) &  (! [F] :  (v7_ordinal1(F) => k1_funct_1(E, k1_nat_1(F, 1))=k6_fscirc_1(k1_funct_1(B, k1_nat_1(F, 1)), k1_funct_1(C, k1_nat_1(F, 1)), k1_funct_1(E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_fscirc_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v1_funct_1(D) & v1_partfun1(D, k4_ordinal1)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v1_funct_1(E) & v1_partfun1(E, k4_ordinal1)) ) )  =>  ( (k1_funct_1(C, k5_numbers)=k5_circcomb(k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1), k1_xboole_0) &  (k1_funct_1(D, k5_numbers)=k7_circcomb(k5_ordinal1, k5_margrel1, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1), k1_xboole_0) &  (k1_funct_1(E, k5_numbers)=k4_tarski(k1_xboole_0, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1)) &  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_msualg_1(G))  =>  (! [H] :  ( (v4_msualg_1(H, G) & l3_msualg_1(H, G))  =>  (! [I] :  ( (G=k1_funct_1(C, F) &  (H=k1_funct_1(D, F) & I=k1_funct_1(E, F)) )  =>  (k1_funct_1(C, k1_nat_1(F, 1))=k2_circcomb(G, k8_fscirc_1(k1_funct_1(A, k1_nat_1(F, 1)), k1_funct_1(B, k1_nat_1(F, 1)), I)) &  (k1_funct_1(D, k1_nat_1(F, 1))=k3_circcomb(G, k8_fscirc_1(k1_funct_1(A, k1_nat_1(F, 1)), k1_funct_1(B, k1_nat_1(F, 1)), I), H, k9_fscirc_1(k1_funct_1(A, k1_nat_1(F, 1)), k1_funct_1(B, k1_nat_1(F, 1)), I)) & k1_funct_1(E, k1_nat_1(F, 1))=k6_fscirc_1(k1_funct_1(A, k1_nat_1(F, 1)), k1_funct_1(B, k1_nat_1(F, 1)), I)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [F] :  (v7_ordinal1(F) =>  (k1_fscirc_2(F, A, B)=k1_funct_1(C, F) &  (k2_fscirc_2(F, A, B)=k1_funct_1(D, F) & k3_fscirc_2(F, A, B)=k1_funct_1(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_fscirc_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (k1_fscirc_2(k5_numbers, A, B)=k5_circcomb(k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1), k1_xboole_0) &  (k2_fscirc_2(k5_numbers, A, B)=k7_circcomb(k5_ordinal1, k5_margrel1, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1), k1_xboole_0) & k3_fscirc_2(k5_numbers, A, B)=k4_tarski(k1_xboole_0, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1))) ) ) ) ) ) ).
fof(t3_fscirc_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (C=k4_tarski(k1_xboole_0, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1)) =>  (k1_fscirc_2(1, A, B)=k2_circcomb(k5_circcomb(k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1), k1_xboole_0), k8_fscirc_1(k1_funct_1(A, 1), k1_funct_1(B, 1), C)) &  (k2_fscirc_2(1, A, B)=k3_circcomb(k5_circcomb(k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1), k1_xboole_0), k8_fscirc_1(k1_funct_1(A, 1), k1_funct_1(B, 1), C), k7_circcomb(k5_ordinal1, k5_margrel1, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1), k1_xboole_0), k9_fscirc_1(k1_funct_1(A, 1), k1_funct_1(B, 1), C)) & k3_fscirc_2(1, A, B)=k6_fscirc_1(k1_funct_1(A, 1), k1_funct_1(B, 1), C)) ) ) ) ) ) ) ) ).
fof(t4_fscirc_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (C=k4_tarski(k1_xboole_0, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1)) =>  (k1_fscirc_2(1, k9_finseq_1(A), k9_finseq_1(B))=k2_circcomb(k5_circcomb(k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1), k1_xboole_0), k8_fscirc_1(A, B, C)) &  (k2_fscirc_2(1, k9_finseq_1(A), k9_finseq_1(B))=k3_circcomb(k5_circcomb(k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1), k1_xboole_0), k8_fscirc_1(A, B, C), k7_circcomb(k5_ordinal1, k5_margrel1, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1), k1_xboole_0), k9_fscirc_1(A, B, C)) & k3_fscirc_2(1, k9_finseq_1(A), k9_finseq_1(B))=k6_fscirc_1(A, B, C)) ) ) ) ) ) ).
fof(t5_fscirc_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) )  =>  (! [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) & v1_finseq_1(G)) )  =>  (k1_fscirc_2(A, k7_finseq_1(B, D), k7_finseq_1(C, F))=k1_fscirc_2(A, k7_finseq_1(B, E), k7_finseq_1(C, G)) &  (k2_fscirc_2(A, k7_finseq_1(B, D), k7_finseq_1(C, F))=k2_fscirc_2(A, k7_finseq_1(B, E), k7_finseq_1(C, G)) & k3_fscirc_2(A, k7_finseq_1(B, D), k7_finseq_1(C, F))=k3_fscirc_2(A, k7_finseq_1(B, E), k7_finseq_1(C, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_fscirc_2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) )  =>  (! [D] :  (! [E] :  (k1_fscirc_2(k1_nat_1(A, 1), k7_finseq_1(B, k9_finseq_1(D)), k7_finseq_1(C, k9_finseq_1(E)))=k2_circcomb(k1_fscirc_2(A, B, C), k8_fscirc_1(D, E, k3_fscirc_2(A, B, C))) &  (k2_fscirc_2(k1_nat_1(A, 1), k7_finseq_1(B, k9_finseq_1(D)), k7_finseq_1(C, k9_finseq_1(E)))=k3_circcomb(k1_fscirc_2(A, B, C), k8_fscirc_1(D, E, k3_fscirc_2(A, B, C)), k2_fscirc_2(A, B, C), k9_fscirc_1(D, E, k3_fscirc_2(A, B, C))) & k3_fscirc_2(k1_nat_1(A, 1), k7_finseq_1(B, k9_finseq_1(D)), k7_finseq_1(C, k9_finseq_1(E)))=k6_fscirc_1(D, E, k3_fscirc_2(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t7_fscirc_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (k1_fscirc_2(k1_nat_1(A, 1), B, C)=k2_circcomb(k1_fscirc_2(A, B, C), k8_fscirc_1(k1_funct_1(B, k1_nat_1(A, 1)), k1_funct_1(C, k1_nat_1(A, 1)), k3_fscirc_2(A, B, C))) &  (k2_fscirc_2(k1_nat_1(A, 1), B, C)=k3_circcomb(k1_fscirc_2(A, B, C), k8_fscirc_1(k1_funct_1(B, k1_nat_1(A, 1)), k1_funct_1(C, k1_nat_1(A, 1)), k3_fscirc_2(A, B, C)), k2_fscirc_2(A, B, C), k9_fscirc_1(k1_funct_1(B, k1_nat_1(A, 1)), k1_funct_1(C, k1_nat_1(A, 1)), k3_fscirc_2(A, B, C))) & k3_fscirc_2(k1_nat_1(A, 1), B, C)=k6_fscirc_1(k1_funct_1(B, k1_nat_1(A, 1)), k1_funct_1(C, k1_nat_1(A, 1)), k3_fscirc_2(A, B, C))) ) ) ) ) ) ) ) ).
fof(t8_fscirc_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(A, B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  => r1_tarski(k3_msafree2(k1_fscirc_2(A, C, D)), k3_msafree2(k1_fscirc_2(B, C, D)))) ) ) ) ) ) ) ) ) ).
fof(t9_fscirc_2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  => k3_msafree2(k1_fscirc_2(k1_nat_1(A, 1), B, C))=k2_xboole_0(k3_msafree2(k1_fscirc_2(A, B, C)), k3_msafree2(k8_fscirc_1(k1_funct_1(B, k1_nat_1(A, 1)), k1_funct_1(C, k1_nat_1(A, 1)), k3_fscirc_2(A, B, C))))) ) ) ) ) ) ).
fof(d4_fscirc_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (! [E] :  (m2_subset_1(E, u1_struct_0(k1_fscirc_2(B, C, D)), k3_msafree2(k1_fscirc_2(B, C, D))) =>  (E=k4_fscirc_2(A, B, C, D) <=>  (? [F] :  (m1_subset_1(F, k4_ordinal1) &  (A=k1_nat_1(F, 1) & E=k1_fscirc_1(k1_funct_1(C, A), k1_funct_1(D, A), k3_fscirc_2(F, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_fscirc_2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ( ~ (r1_xxreal_0(A, B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  => k4_fscirc_2(k1_nat_1(B, 1), A, C, D)=k1_fscirc_1(k1_funct_1(C, k1_nat_1(B, 1)), k1_funct_1(D, k1_nat_1(B, 1)), k3_fscirc_2(B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t11_fscirc_2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  => v1_relat_1(k3_msafree2(k1_fscirc_2(A, B, C)))) ) ) ) ) ) ).
fof(t12_fscirc_2, axiom,  (! [A] :  (! [B] :  (! [C] : k3_msafree2(k3_fscirc_1(A, B, C))=k1_enumset1(k4_tarski(k10_finseq_1(A, B), k2_twoscomp), k4_tarski(k10_finseq_1(B, C), k3_facirc_1), k4_tarski(k10_finseq_1(A, C), k2_twoscomp))) ) ) ).
fof(t13_fscirc_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (A=k4_tarski(k10_finseq_1(B, C), k3_facirc_1))  &  ( ~ (B=k4_tarski(k10_finseq_1(A, C), k2_twoscomp))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k2_twoscomp))  &  ~ (k2_msafree2(k3_fscirc_1(A, B, C))=k1_enumset1(A, B, C)) ) ) ) ) ) ) ) ).
fof(t14_fscirc_2, axiom,  (! [A] :  (! [B] :  (! [C] : k3_msafree2(k4_fscirc_1(A, B, C))=k2_xboole_0(k1_enumset1(k4_tarski(k10_finseq_1(A, B), k2_twoscomp), k4_tarski(k10_finseq_1(B, C), k3_facirc_1), k4_tarski(k10_finseq_1(A, C), k2_twoscomp)), k1_tarski(k6_fscirc_1(A, B, C)))) ) ) ).
fof(t15_fscirc_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (A=k4_tarski(k10_finseq_1(B, C), k3_facirc_1))  &  ( ~ (B=k4_tarski(k10_finseq_1(A, C), k2_twoscomp))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k2_twoscomp))  &  ~ (k2_msafree2(k4_fscirc_1(A, B, C))=k1_enumset1(A, B, C)) ) ) ) ) ) ) ) ).
fof(t16_fscirc_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (A=k4_tarski(k10_finseq_1(B, C), k3_facirc_1))  &  ( ~ (B=k4_tarski(k10_finseq_1(A, C), k2_twoscomp))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k2_twoscomp))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k1_facirc_1))  &  ~ (k2_msafree2(k8_fscirc_1(A, B, C))=k1_enumset1(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t17_fscirc_2, axiom,  (! [A] :  (! [B] :  (! [C] : k3_msafree2(k8_fscirc_1(A, B, C))=k2_xboole_0(k2_xboole_0(k2_tarski(k4_tarski(k10_finseq_1(A, B), k1_facirc_1), k9_facirc_1(A, B, C, k1_facirc_1)), k1_enumset1(k4_tarski(k10_finseq_1(A, B), k2_twoscomp), k4_tarski(k10_finseq_1(B, C), k3_facirc_1), k4_tarski(k10_finseq_1(A, C), k2_twoscomp))), k1_tarski(k6_fscirc_1(A, B, C)))) ) ) ).
fof(t18_fscirc_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( (k1_xfamily(k3_fscirc_2(C, A, B))=k1_xboole_0 &  (k2_xfamily(k3_fscirc_2(C, A, B))=k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1) & k9_xtuple_0(k2_xfamily(k3_fscirc_2(C, A, B)))=k4_finseq_2(k5_numbers, k5_margrel1)) )  |  (k1_card_1(k1_xfamily(k3_fscirc_2(C, A, B)))=3 &  (k2_xfamily(k3_fscirc_2(C, A, B))=k4_facirc_1 & k9_xtuple_0(k2_xfamily(k3_fscirc_2(C, A, B)))=k4_finseq_2(3, k5_margrel1)) ) ) ) ) ) ) ) ) ).
fof(t19_fscirc_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( ~ (k3_fscirc_2(A, B, C)=k4_tarski(D, k3_facirc_1))  &  ( ~ (k3_fscirc_2(A, B, C)=k4_tarski(D, k2_twoscomp))  &  ~ (k3_fscirc_2(A, B, C)=k4_tarski(D, k1_facirc_1)) ) ) ) ) ) ) ) ) ) ).
fof(t20_fscirc_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_facirc_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v2_facirc_1(B)) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (k2_msafree2(k1_fscirc_2(k1_nat_1(C, 1), A, B))=k2_xboole_0(k2_msafree2(k1_fscirc_2(C, A, B)), k7_subset_1(u1_struct_0(k8_fscirc_1(k1_funct_1(A, k1_nat_1(C, 1)), k1_funct_1(B, k1_nat_1(C, 1)), k3_fscirc_2(C, A, B))), k2_msafree2(k8_fscirc_1(k1_funct_1(A, k1_nat_1(C, 1)), k1_funct_1(B, k1_nat_1(C, 1)), k3_fscirc_2(C, A, B))), k1_tarski(k3_fscirc_2(C, A, B)))) &  (v1_relat_1(k3_msafree2(k1_fscirc_2(C, A, B))) &  ~ (v1_facirc_1(k2_msafree2(k1_fscirc_2(C, A, B)))) ) ) ) ) ) ) ) ) ).
fof(t21_fscirc_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) &  (v1_finseq_1(B) & v2_facirc_1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) &  (v1_finseq_1(C) & v2_facirc_1(C)) ) ) )  => k2_msafree2(k1_fscirc_2(A, B, C))=k2_xboole_0(k10_xtuple_0(B), k10_xtuple_0(C))) ) ) ) ) ) ).
fof(t22_fscirc_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k4_fscirc_1(A, B, C), k7_fscirc_1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  (! [G] :  (m1_subset_1(G, k5_margrel1) =>  ( (E=k1_funct_1(D, k4_tarski(k10_finseq_1(A, B), k2_twoscomp)) &  (F=k1_funct_1(D, k4_tarski(k10_finseq_1(B, C), k3_facirc_1)) & G=k1_funct_1(D, k4_tarski(k10_finseq_1(A, C), k2_twoscomp))) )  => k11_facirc_1(k4_fscirc_1(A, B, C), k7_fscirc_1(A, B, C), k6_circuit2(k4_fscirc_1(A, B, C), k7_fscirc_1(A, B, C), D), k6_fscirc_1(A, B, C))=k1_binarith(k1_binarith(E, F), G)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_fscirc_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (A=k4_tarski(k10_finseq_1(B, C), k3_facirc_1))  &  ( ~ (B=k4_tarski(k10_finseq_1(A, C), k2_twoscomp))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k2_twoscomp))  &  ~ ( (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k4_fscirc_1(A, B, C), k7_fscirc_1(A, B, C)))) => v1_circuit2(k5_facirc_1(k4_fscirc_1(A, B, C), k7_fscirc_1(A, B, C), D, 2), k4_fscirc_1(A, B, C), k7_fscirc_1(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t24_fscirc_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (A=k4_tarski(k10_finseq_1(B, C), k3_facirc_1))  &  ( ~ (B=k4_tarski(k10_finseq_1(A, C), k2_twoscomp))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k2_twoscomp))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k1_facirc_1))  &  (? [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k8_fscirc_1(A, B, C), k9_fscirc_1(A, B, C)))) &  (? [E] :  (m1_subset_1(E, k5_margrel1) &  (? [F] :  (m1_subset_1(F, k5_margrel1) &  (? [G] :  (m1_subset_1(G, k5_margrel1) &  (E=k1_funct_1(D, A) &  (F=k1_funct_1(D, B) &  (G=k1_funct_1(D, C) &  ~ ( (k1_funct_1(k5_facirc_1(k8_fscirc_1(A, B, C), k9_fscirc_1(A, B, C), D, 2), k1_fscirc_1(A, B, C))=k2_binarith(k2_binarith(E, F), G) & k1_funct_1(k5_facirc_1(k8_fscirc_1(A, B, C), k9_fscirc_1(A, B, C), D, 2), k6_fscirc_1(A, B, C))=k1_binarith(k1_binarith(k9_margrel1(k8_margrel1(E), F), k9_margrel1(F, G)), k9_margrel1(k8_margrel1(E), G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_fscirc_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (A=k4_tarski(k10_finseq_1(B, C), k3_facirc_1))  &  ( ~ (B=k4_tarski(k10_finseq_1(A, C), k2_twoscomp))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k2_twoscomp))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k1_facirc_1))  &  ~ ( (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k8_fscirc_1(A, B, C), k9_fscirc_1(A, B, C)))) => v1_circuit2(k5_facirc_1(k8_fscirc_1(A, B, C), k9_fscirc_1(A, B, C), D, 2), k8_fscirc_1(A, B, C), k9_fscirc_1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_fscirc_2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) &  (v1_finseq_1(B) & v2_facirc_1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) &  (v1_finseq_1(C) & v2_facirc_1(C)) ) ) )  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k1_fscirc_2(A, B, C), k2_fscirc_2(A, B, C)))) => v1_circuit2(k5_facirc_1(k1_fscirc_2(A, B, C), k2_fscirc_2(A, B, C), D, k1_nat_1(1, k2_nat_1(2, A))), k1_fscirc_2(A, B, C), k2_fscirc_2(A, B, C))) ) ) ) ) ) ) ) ).
fof(dt_k1_fscirc_2, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) )  =>  ( ~ (v2_struct_0(k1_fscirc_2(A, B, C)))  &  ( ~ (v11_struct_0(k1_fscirc_2(A, B, C)))  &  (v1_msualg_1(k1_fscirc_2(A, B, C)) &  (v1_circcomb(k1_fscirc_2(A, B, C)) &  (v2_circcomb(k1_fscirc_2(A, B, C)) &  (v3_circcomb(k1_fscirc_2(A, B, C)) & l1_msualg_1(k1_fscirc_2(A, B, C))) ) ) ) ) ) ) ) ).
fof(dt_k2_fscirc_2, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) )  =>  (v3_msualg_1(k2_fscirc_2(A, B, C), k1_fscirc_2(A, B, C)) &  (v4_msafree2(k2_fscirc_2(A, B, C), k1_fscirc_2(A, B, C)) &  (v4_circcomb(k2_fscirc_2(A, B, C), k1_fscirc_2(A, B, C)) &  (v6_circcomb(k2_fscirc_2(A, B, C), k1_fscirc_2(A, B, C)) & l3_msualg_1(k2_fscirc_2(A, B, C), k1_fscirc_2(A, B, C))) ) ) ) ) ) ).
fof(dt_k3_fscirc_2, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) )  => m2_subset_1(k3_fscirc_2(A, B, C), u1_struct_0(k1_fscirc_2(A, B, C)), k3_msafree2(k1_fscirc_2(A, B, C)))) ) ).
fof(dt_k4_fscirc_2, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  &  (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) ) ) ) )  => m2_subset_1(k4_fscirc_2(A, B, C, D), u1_struct_0(k1_fscirc_2(B, C, D)), k3_msafree2(k1_fscirc_2(B, C, D)))) ) ).
fof(rc1_fsm_1, axiom,  (! [A] :  (? [B] :  (l1_fsm_1(B, A) & v1_fsm_1(B, A)) ) ) ).
fof(rc2_fsm_1, axiom,  (! [A] :  (? [B] :  (l1_fsm_1(B, A) &  ( ~ (v2_struct_0(B))  & v8_struct_0(B)) ) ) ) ).
fof(rc3_fsm_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (? [C] :  (l2_fsm_1(C, A, B) & v2_fsm_1(C, A, B)) ) ) ) ).
fof(rc4_fsm_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (? [C] :  (l3_fsm_1(C, A, B) & v3_fsm_1(C, A, B)) ) ) ) ).
fof(fc1_fsm_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, A), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, A), B)))) )  & m1_subset_1(D, B)) )  =>  ( ~ (v2_struct_0(g1_fsm_1(A, B, C, D)))  &  (v8_struct_0(g1_fsm_1(A, B, C, D)) & v1_fsm_1(g1_fsm_1(A, B, C, D), A)) ) ) ) ).
fof(fc2_fsm_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  & v1_finset_1(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(C, A), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, A), C)))) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(C, A), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, A), B)))) )  & m1_subset_1(F, C)) ) ) )  =>  ( ~ (v2_struct_0(g2_fsm_1(A, B, C, D, E, F)))  &  (v8_struct_0(g2_fsm_1(A, B, C, D, E, F)) & v2_fsm_1(g2_fsm_1(A, B, C, D, E, F), A, B)) ) ) ) ).
fof(fc3_fsm_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  & v1_finset_1(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(C, A), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, A), C)))) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, C, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, B)))) )  & m1_subset_1(F, C)) ) ) )  =>  ( ~ (v2_struct_0(g3_fsm_1(A, B, C, D, E, F)))  &  (v8_struct_0(g3_fsm_1(A, B, C, D, E, F)) & v3_fsm_1(g3_fsm_1(A, B, C, D, E, F), A, B)) ) ) ) ).
fof(rc5_fsm_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (? [C] :  (l2_fsm_1(C, A, B) &  ( ~ (v2_struct_0(C))  & v8_struct_0(C)) ) ) ) ) ).
fof(rc6_fsm_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (? [C] :  (l3_fsm_1(C, A, B) &  ( ~ (v2_struct_0(C))  & v8_struct_0(C)) ) ) ) ) ).
fof(fc4_fsm_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) & l2_fsm_1(C, A, B)) ) ) )  =>  ( ~ (v2_struct_0(k11_fsm_1(A, B, C)))  &  (v8_struct_0(k11_fsm_1(A, B, C)) & v2_fsm_1(k11_fsm_1(A, B, C), A, B)) ) ) ) ).
fof(fc5_fsm_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) & l2_fsm_1(C, A, B)) ) ) )  =>  (v2_fsm_1(k11_fsm_1(A, B, C), A, B) & v5_fsm_1(k11_fsm_1(A, B, C), A, B)) ) ) ).
fof(rc7_fsm_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  (? [C] :  (l2_fsm_1(C, A, B) &  ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) & v5_fsm_1(C, A, B)) ) ) ) ) ) ).
fof(rc8_fsm_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  (? [C] :  (l2_fsm_1(C, A, B) &  ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) & v7_fsm_1(C, A, B)) ) ) ) ) ) ).
fof(fc6_fsm_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) &  (v7_fsm_1(C, A, B) & l2_fsm_1(C, A, B)) ) ) ) )  =>  (v2_fsm_1(k11_fsm_1(A, B, C), A, B) & v7_fsm_1(k11_fsm_1(A, B, C), A, B)) ) ) ).
fof(rc9_fsm_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  (? [C] :  (l2_fsm_1(C, A, B) &  ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) &  (v5_fsm_1(C, A, B) & v7_fsm_1(C, A, B)) ) ) ) ) ) ) ).
fof(fc7_fsm_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) & l2_fsm_1(C, A, B)) ) ) )  =>  ( ~ (v1_xboole_0(k12_fsm_1(A, B, C)))  & v1_finset_1(k12_fsm_1(A, B, C))) ) ) ).
fof(fc8_fsm_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) & l2_fsm_1(C, A, B)) )  &  ( ~ (v2_struct_0(D))  &  (v8_struct_0(D) & l2_fsm_1(D, A, B)) ) ) )  =>  ( ~ (v2_struct_0(k13_fsm_1(A, B, C, D)))  &  (v8_struct_0(k13_fsm_1(A, B, C, D)) & v2_fsm_1(k13_fsm_1(A, B, C, D), A, B)) ) ) ) ).
fof(d1_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_fsm_1(B, A))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k1_fsm_1(A, B, C, D)=k3_funct_2(k2_zfmisc_1(u1_struct_0(B), A), u1_struct_0(B), u1_fsm_1(A, B), k1_domain_1(u1_struct_0(B), A, D, C))) ) ) ) ) ) ) ) ).
fof(d2_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_fsm_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m2_finseq_1(D, A) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(B)) =>  (E=k2_fsm_1(A, B, C, D) <=>  (k1_funct_1(E, 1)=C &  (k3_finseq_1(E)=k1_nat_1(k3_finseq_1(D), 1) &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r1_xxreal_0(1, F) &  (r1_xxreal_0(F, k3_finseq_1(D)) &  (! [G] :  (m1_subset_1(G, A) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(B)) =>  ~ ( (G=k1_funct_1(D, F) &  (H=k1_funct_1(E, F) &  (I=k1_funct_1(E, k1_nat_1(F, 1)) & k1_fsm_1(A, B, G, H)=I) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_fsm_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k2_fsm_1(A, B, C, k6_finseq_1(A))=k12_finseq_1(u1_struct_0(B), C)) ) ) ) ) ) ).
fof(d3_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_fsm_1(B, A))  =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (r1_fsm_1(A, B, C, D, E) <=> k1_funct_1(k2_fsm_1(A, B, D, C), k1_nat_1(k3_finseq_1(C), 1))=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_fsm_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => r1_fsm_1(A, B, k6_finseq_1(A), C, C)) ) ) ) ) ) ).
fof(d4_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_fsm_1(B, A))  =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(B)) =>  (r2_fsm_1(A, B, C, D) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (E=k1_funct_1(D, 1) & k2_fsm_1(A, B, E, C)=D) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_fsm_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => r2_fsm_1(A, B, k6_finseq_1(A), k12_finseq_1(u1_struct_0(B), C))) ) ) ) ) ) ).
fof(d5_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_fsm_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m2_finseq_1(D, A) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (E=k3_fsm_1(A, B, C, D) <=> r1_fsm_1(A, B, D, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_fsm_1(B, A))  =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (k1_funct_1(k2_fsm_1(A, B, D, C), k3_finseq_1(k2_fsm_1(A, B, D, C)))=E <=> r1_fsm_1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_fsm_1(B, A))  =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(1, F) & r1_xxreal_0(F, k3_finseq_1(C)))  => k1_funct_1(k2_fsm_1(A, B, E, k8_finseq_1(A, C, D)), F)=k1_funct_1(k2_fsm_1(A, B, E, C), F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_fsm_1(B, A))  =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (r1_fsm_1(A, B, C, E, F) => k1_funct_1(k2_fsm_1(A, B, E, k8_finseq_1(A, C, D)), k1_nat_1(k3_finseq_1(C), 1))=F) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_fsm_1(B, A))  =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (r1_fsm_1(A, B, C, E, F) =>  (! [G] :  (v7_ordinal1(G) =>  ( (r1_xxreal_0(1, G) & r1_xxreal_0(G, k1_nat_1(k3_finseq_1(D), 1)))  => k1_funct_1(k2_fsm_1(A, B, E, k8_finseq_1(A, C, D)), k2_xcmplx_0(k3_finseq_1(C), G))=k1_funct_1(k2_fsm_1(A, B, F, D), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_fsm_1(B, A))  =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (r1_fsm_1(A, B, C, E, F) => k2_fsm_1(A, B, E, k8_finseq_1(A, C, D))=k7_finseq_1(k2_finseq_3(k1_nat_1(k3_finseq_1(C), 1), k2_fsm_1(A, B, E, C)), k2_fsm_1(A, B, F, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m2_finseq_1(E, A) =>  (! [F] :  (m2_finseq_1(F, B) =>  (F=k4_fsm_1(A, B, C, D, E) <=>  (k3_finseq_1(F)=k3_finseq_1(E) &  (! [G] :  (v7_ordinal1(G) =>  (r2_tarski(G, k4_finseq_1(E)) => k1_funct_1(F, G)=k1_funct_1(u3_fsm_1(A, B, C), k4_tarski(k1_funct_1(k2_fsm_1(A, C, D, E), G), k1_funct_1(E, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) => k4_fsm_1(A, B, C, D, k6_finseq_1(A))=k6_finseq_1(B)) ) ) ) ) ) ) ) ).
fof(d7_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l3_fsm_1(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m2_finseq_1(E, A) =>  (! [F] :  (m2_finseq_1(F, B) =>  (F=k5_fsm_1(A, B, C, D, E) <=>  (k3_finseq_1(F)=k1_nat_1(k3_finseq_1(E), 1) &  (! [G] :  (v7_ordinal1(G) =>  (r2_tarski(G, k2_finseq_1(k1_nat_1(k3_finseq_1(E), 1))) => k1_funct_1(F, G)=k1_funct_1(u4_fsm_1(A, B, C), k1_funct_1(k2_fsm_1(A, C, D, E), G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l3_fsm_1(D, A, B))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(D)) => k1_funct_1(k5_fsm_1(A, B, D, E, C), 1)=k3_funct_2(u1_struct_0(D), B, u4_fsm_1(A, B, D), E)) ) ) ) ) ) ) ) ) ) ).
fof(t11_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  & l2_fsm_1(E, A, B))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(E)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(E)) =>  (r1_fsm_1(A, E, C, F, G) => k4_fsm_1(A, B, E, F, k8_finseq_1(A, C, D))=k8_finseq_1(B, k4_fsm_1(A, B, E, F, C), k4_fsm_1(A, B, E, G, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  & l2_fsm_1(E, A, B))  =>  (! [F] :  ( ( ~ (v2_struct_0(F))  & l2_fsm_1(F, A, B))  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(E)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(E)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(F)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(F)) =>  ~ ( (r1_fsm_1(A, E, C, G, H) &  (r1_fsm_1(A, F, C, I, J) &  ( ~ (k4_fsm_1(A, B, E, H, D)=k4_fsm_1(A, B, F, J, D))  & k4_fsm_1(A, B, E, G, k8_finseq_1(A, C, D))=k4_fsm_1(A, B, F, I, k8_finseq_1(A, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l3_fsm_1(D, A, B))  =>  (r3_fsm_1(A, B, C, D) <=>  (! [E] :  (m2_finseq_1(E, A) => k8_finseq_1(B, k12_finseq_1(B, k3_funct_2(u1_struct_0(D), B, u4_fsm_1(A, B, D), u2_fsm_1(A, D))), k4_fsm_1(A, B, C, u2_fsm_1(A, C), E))=k5_fsm_1(A, B, D, u2_fsm_1(A, D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) & l3_fsm_1(C, A, B)) )  =>  (? [D] :  ( ( ~ (v2_struct_0(D))  &  (v8_struct_0(D) & l2_fsm_1(D, A, B)) )  & r3_fsm_1(A, B, D, C)) ) ) ) ) ) ) ) ).
fof(t14_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) & l2_fsm_1(C, A, B)) )  =>  (? [D] :  ( ( ~ (v2_struct_0(D))  &  (v8_struct_0(D) & l3_fsm_1(D, A, B)) )  & r3_fsm_1(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(d9_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l2_fsm_1(D, A, B))  =>  (r4_fsm_1(A, B, C, D) <=>  (! [E] :  (m2_finseq_1(E, A) => k4_fsm_1(A, B, C, u2_fsm_1(A, C), E)=k4_fsm_1(A, B, D, u2_fsm_1(A, D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l2_fsm_1(D, A, B))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  & l2_fsm_1(E, A, B))  =>  ( (r4_fsm_1(A, B, C, D) & r4_fsm_1(A, B, D, E))  => r4_fsm_1(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (r5_fsm_1(A, B, C, D, E) <=>  (! [F] :  (m2_finseq_1(F, A) => k4_fsm_1(A, B, C, D, F)=k4_fsm_1(A, B, C, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  ( (r5_fsm_1(A, B, C, D, E) & r5_fsm_1(A, B, C, E, F))  => r5_fsm_1(A, B, C, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  & l2_fsm_1(E, A, B))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(E)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(E)) =>  (G=k3_funct_2(k2_zfmisc_1(u1_struct_0(E), A), u1_struct_0(E), u1_fsm_1(A, E), k1_domain_1(u1_struct_0(E), A, F, C)) =>  (! [H] :  (v7_ordinal1(H) =>  (r2_tarski(H, k2_finseq_1(k1_nat_1(k3_finseq_1(D), 1))) => k1_funct_1(k2_fsm_1(A, E, F, k8_finseq_1(A, k12_finseq_1(A, C), D)), k1_nat_1(H, 1))=k1_funct_1(k2_fsm_1(A, E, G, D), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  & l2_fsm_1(E, A, B))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(E)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(E)) =>  (G=k3_funct_2(k2_zfmisc_1(u1_struct_0(E), A), u1_struct_0(E), u1_fsm_1(A, E), k1_domain_1(u1_struct_0(E), A, F, C)) => k4_fsm_1(A, B, E, F, k8_finseq_1(A, k12_finseq_1(A, C), D))=k8_finseq_1(B, k12_finseq_1(B, k3_funct_2(k2_zfmisc_1(u1_struct_0(E), A), B, u3_fsm_1(A, B, E), k1_domain_1(u1_struct_0(E), A, F, C))), k4_fsm_1(A, B, E, G, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (r5_fsm_1(A, B, C, D, E) <=>  (! [F] :  (m1_subset_1(F, A) =>  (k3_funct_2(k2_zfmisc_1(u1_struct_0(C), A), B, u3_fsm_1(A, B, C), k1_domain_1(u1_struct_0(C), A, D, F))=k3_funct_2(k2_zfmisc_1(u1_struct_0(C), A), B, u3_fsm_1(A, B, C), k1_domain_1(u1_struct_0(C), A, E, F)) & r5_fsm_1(A, B, C, k3_funct_2(k2_zfmisc_1(u1_struct_0(C), A), u1_struct_0(C), u1_fsm_1(A, C), k1_domain_1(u1_struct_0(C), A, D, F)), k3_funct_2(k2_zfmisc_1(u1_struct_0(C), A), u1_struct_0(C), u1_fsm_1(A, C), k1_domain_1(u1_struct_0(C), A, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (r5_fsm_1(A, B, C, D, E) =>  (! [F] :  (m2_finseq_1(F, A) =>  (! [G] :  (v7_ordinal1(G) =>  ~ ( (r2_tarski(G, k4_finseq_1(F)) &  (! [H] :  (m1_subset_1(H, u1_struct_0(C)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(C)) =>  ~ ( (H=k1_funct_1(k2_fsm_1(A, C, D, F), G) &  (I=k1_funct_1(k2_fsm_1(A, C, E, F), G) & r5_fsm_1(A, B, C, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (v7_ordinal1(F) =>  (r6_fsm_1(A, B, C, D, E, F) <=>  (! [G] :  (m2_finseq_1(G, A) =>  (r1_xxreal_0(k3_finseq_1(G), F) => k4_fsm_1(A, B, C, D, G)=k4_fsm_1(A, B, C, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (v7_ordinal1(E) => r6_fsm_1(A, B, C, D, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(t22_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (v7_ordinal1(F) =>  (r6_fsm_1(A, B, C, D, E, F) => r6_fsm_1(A, B, C, E, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  (! [G] :  (v7_ordinal1(G) =>  ( (r6_fsm_1(A, B, C, D, E, G) & r6_fsm_1(A, B, C, E, F, G))  => r6_fsm_1(A, B, C, D, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_fsm_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l2_fsm_1(D, B, C))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(D)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(D)) =>  (r5_fsm_1(B, C, D, E, F) => r6_fsm_1(B, C, D, E, F, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) => r6_fsm_1(A, B, C, D, E, k5_numbers)) ) ) ) ) ) ) ) ) ) ).
fof(t26_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  (r6_fsm_1(A, B, C, D, E, k2_xcmplx_0(F, G)) => r6_fsm_1(A, B, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (v7_ordinal1(F) =>  (r1_xxreal_0(1, F) =>  (r6_fsm_1(A, B, C, D, E, F) <=>  (r6_fsm_1(A, B, C, D, E, 1) &  (! [G] :  (m1_subset_1(G, A) =>  (! [H] :  (v7_ordinal1(H) =>  (H=k6_xcmplx_0(F, 1) => r6_fsm_1(A, B, C, k3_funct_2(k2_zfmisc_1(u1_struct_0(C), A), u1_struct_0(C), u1_fsm_1(A, C), k1_domain_1(u1_struct_0(C), A, D, G)), k3_funct_2(k2_zfmisc_1(u1_struct_0(C), A), u1_struct_0(C), u1_fsm_1(A, C), k1_domain_1(u1_struct_0(C), A, E, G)), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_partfun1(E, u1_struct_0(C)) &  (v3_relat_2(E) &  (v8_relat_2(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(C))))) ) )  =>  (E=k6_fsm_1(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(C)) =>  (r2_tarski(k1_domain_1(u1_struct_0(C), u1_struct_0(C), F, G), E) <=> r6_fsm_1(A, B, C, F, G, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  =>  (! [D] :  (v7_ordinal1(D) => k7_fsm_1(A, B, C, D)=k8_eqrel_1(u1_struct_0(C), k6_fsm_1(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t28_fsm_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l2_fsm_1(D, B, C))  => r1_setfam_1(k7_fsm_1(B, C, D, k1_nat_1(A, 1)), k7_fsm_1(B, C, D, A))) ) ) ) ) ) ) ) ).
fof(t29_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  =>  (! [D] :  (v7_ordinal1(D) =>  (k8_eqrel_1(u1_struct_0(C), k6_fsm_1(A, B, C, D))=k8_eqrel_1(u1_struct_0(C), k6_fsm_1(A, B, C, k1_nat_1(D, 1))) =>  (! [E] :  (v7_ordinal1(E) => k8_eqrel_1(u1_struct_0(C), k6_fsm_1(A, B, C, k2_xcmplx_0(D, E)))=k8_eqrel_1(u1_struct_0(C), k6_fsm_1(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_fsm_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l2_fsm_1(D, B, C))  =>  (k7_fsm_1(B, C, D, A)=k7_fsm_1(B, C, D, k1_nat_1(A, 1)) =>  (! [E] :  (v7_ordinal1(E) => k7_fsm_1(B, C, D, k2_xcmplx_0(A, E))=k7_fsm_1(B, C, D, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_fsm_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l2_fsm_1(D, B, C))  =>  ( ~ (k7_fsm_1(B, C, D, k1_nat_1(A, 1))=k7_fsm_1(B, C, D, A))  =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(E, A) & k7_fsm_1(B, C, D, k1_nat_1(E, 1))=k7_fsm_1(B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_fsm_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v8_struct_0(D) & l2_fsm_1(D, B, C)) )  =>  ~ ( ( ~ (k7_fsm_1(B, C, D, A)=k7_fsm_1(B, C, D, k1_nat_1(A, 1)))  & r1_xxreal_0(k4_card_1(k7_fsm_1(B, C, D, k1_nat_1(A, 1))), k4_card_1(k7_fsm_1(B, C, D, A)))) ) ) ) ) ) ) ) ) ) ).
fof(t33_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) => k6_eqrel_1(u1_struct_0(C), u1_struct_0(C), k6_fsm_1(A, B, C, k5_numbers), D)=u1_struct_0(C)) ) ) ) ) ) ) ) ).
fof(t34_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  => k7_fsm_1(A, B, C, k5_numbers)=k1_tarski(u1_struct_0(C))) ) ) ) ) ) ).
fof(t35_fsm_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v8_struct_0(D) & l2_fsm_1(D, B, C)) )  =>  (k1_nat_1(A, 1)=k4_card_1(u1_struct_0(D)) => k7_fsm_1(B, C, D, k1_nat_1(A, 1))=k7_fsm_1(B, C, D, A)) ) ) ) ) ) ) ) ) ).
fof(d14_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  =>  (! [D] :  (m1_eqrel_1(D, u1_struct_0(C)) =>  (v4_fsm_1(D, A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  (r5_fsm_1(A, B, C, E, F) <=>  (? [G] :  (m2_subset_1(G, k1_zfmisc_1(u1_struct_0(C)), D) &  (r2_tarski(E, G) & r2_tarski(F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_fsm_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l2_fsm_1(D, B, C))  =>  (v4_fsm_1(k7_fsm_1(B, C, D, A), B, C, D) => k6_fsm_1(B, C, D, k1_nat_1(A, 1))=k6_fsm_1(B, C, D, A)) ) ) ) ) ) ) ) ) ).
fof(t37_fsm_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l2_fsm_1(D, B, C))  =>  (k7_fsm_1(B, C, D, A)=k7_fsm_1(B, C, D, k1_nat_1(A, 1)) => v4_fsm_1(k7_fsm_1(B, C, D, A), B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t38_fsm_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v8_struct_0(D) & l2_fsm_1(D, B, C)) )  =>  ~ ( (k1_nat_1(A, 1)=k4_card_1(u1_struct_0(D)) &  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(E, A) & v4_fsm_1(k7_fsm_1(B, C, D, E), B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) & l2_fsm_1(C, A, B)) )  =>  (! [D] :  (m1_eqrel_1(D, u1_struct_0(C)) =>  (D=k8_fsm_1(A, B, C) <=> v4_fsm_1(D, A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t39_fsm_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v8_struct_0(D) & l2_fsm_1(D, B, C)) )  =>  (k1_nat_1(A, 1)=k4_card_1(u1_struct_0(D)) => k8_fsm_1(B, C, D)=k7_fsm_1(B, C, D, A)) ) ) ) ) ) ) ) ) ).
fof(d16_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) & l2_fsm_1(C, A, B)) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(u1_struct_0(C)), k8_fsm_1(A, B, C)) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(u1_struct_0(C)), k8_fsm_1(A, B, C)) =>  (F=k9_fsm_1(A, B, C, D, E) <=>  (? [G] :  (m1_subset_1(G, u1_struct_0(C)) &  (? [H] :  (v7_ordinal1(H) &  (r2_tarski(G, D) &  (k1_nat_1(H, 1)=k4_card_1(u1_struct_0(C)) & F=k6_eqrel_1(u1_struct_0(C), u1_struct_0(C), k6_fsm_1(A, B, C, H), k3_funct_2(k2_zfmisc_1(u1_struct_0(C), A), u1_struct_0(C), u1_fsm_1(A, C), k1_domain_1(u1_struct_0(C), A, G, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) & l2_fsm_1(C, A, B)) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(u1_struct_0(C)), k8_fsm_1(A, B, C)) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, B) =>  (F=k10_fsm_1(A, B, C, D, E) <=>  (? [G] :  (m1_subset_1(G, u1_struct_0(C)) &  (r2_tarski(G, D) & F=k3_funct_2(k2_zfmisc_1(u1_struct_0(C), A), B, u3_fsm_1(A, B, C), k1_domain_1(u1_struct_0(C), A, G, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) & l2_fsm_1(C, A, B)) )  =>  (! [D] :  ( (v2_fsm_1(D, A, B) & l2_fsm_1(D, A, B))  =>  (D=k11_fsm_1(A, B, C) <=>  (u1_struct_0(D)=k8_fsm_1(A, B, C) &  ( (! [E] :  (m1_subset_1(E, u1_struct_0(D)) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(C)) =>  (r2_tarski(G, E) =>  (r2_tarski(k2_binop_1(u1_struct_0(C), A, u1_struct_0(C), u1_fsm_1(A, C), G, F), k1_binop_1(u1_fsm_1(A, D), E, F)) & k2_binop_1(u1_struct_0(C), A, B, u3_fsm_1(A, B, C), G, F)=k1_binop_1(u3_fsm_1(A, B, D), E, F)) ) ) ) ) ) ) )  & r2_tarski(u2_fsm_1(A, C), u2_fsm_1(A, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v8_struct_0(D) & l2_fsm_1(D, A, B)) )  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v8_struct_0(E) & l2_fsm_1(E, A, B)) )  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(D)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(E)) =>  ( (E=k11_fsm_1(A, B, D) & r2_tarski(F, G))  =>  (! [H] :  (v7_ordinal1(H) =>  (r2_tarski(H, k2_finseq_1(k1_nat_1(k3_finseq_1(C), 1))) => r2_tarski(k1_funct_1(k2_fsm_1(A, D, F, C), H), k1_funct_1(k2_fsm_1(A, E, G, C), H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) & l2_fsm_1(C, A, B)) )  => r4_fsm_1(A, B, C, k11_fsm_1(A, B, C))) ) ) ) ) ) ).
fof(d19_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l2_fsm_1(D, A, B))  =>  (r7_fsm_1(A, B, C, D) <=>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D))))) )  &  (v3_funct_2(E, u1_struct_0(C), u1_struct_0(D)) &  (k3_funct_2(u1_struct_0(C), u1_struct_0(D), E, u2_fsm_1(A, C))=u2_fsm_1(A, D) &  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  (! [G] :  (m1_subset_1(G, A) =>  (k3_funct_2(u1_struct_0(C), u1_struct_0(D), E, k2_binop_1(u1_struct_0(C), A, u1_struct_0(C), u1_fsm_1(A, C), F, G))=k2_binop_1(u1_struct_0(D), A, u1_struct_0(D), u1_fsm_1(A, D), k3_funct_2(u1_struct_0(C), u1_struct_0(D), E, F), G) & k2_binop_1(u1_struct_0(C), A, B, u3_fsm_1(A, B, C), F, G)=k2_binop_1(u1_struct_0(D), A, B, u3_fsm_1(A, B, D), k3_funct_2(u1_struct_0(C), u1_struct_0(D), E, F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l2_fsm_1(D, A, B))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  & l2_fsm_1(E, A, B))  =>  ( (r7_fsm_1(A, B, C, D) & r7_fsm_1(A, B, D, E))  => r7_fsm_1(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l2_fsm_1(D, A, B))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  & l2_fsm_1(E, A, B))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(D)) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(D), u1_struct_0(E)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(E))))) )  =>  ( (! [H] :  (m1_subset_1(H, u1_struct_0(D)) =>  (! [I] :  (m1_subset_1(I, A) => k3_funct_2(u1_struct_0(D), u1_struct_0(E), G, k2_binop_1(u1_struct_0(D), A, u1_struct_0(D), u1_fsm_1(A, D), H, I))=k2_binop_1(u1_struct_0(E), A, u1_struct_0(E), u1_fsm_1(A, E), k3_funct_2(u1_struct_0(D), u1_struct_0(E), G, H), I)) ) ) )  =>  (! [H] :  (v7_ordinal1(H) =>  ( (r1_xxreal_0(1, H) & r1_xxreal_0(H, k1_nat_1(k3_finseq_1(C), 1)))  => k1_funct_1(G, k1_funct_1(k2_fsm_1(A, D, F, C), H))=k1_funct_1(k2_fsm_1(A, E, k3_funct_2(u1_struct_0(D), u1_struct_0(E), G, F), C), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l2_fsm_1(D, A, B))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(C), u1_struct_0(D)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D))))) )  =>  ( (! [H] :  (m1_subset_1(H, u1_struct_0(C)) =>  (! [I] :  (m1_subset_1(I, A) =>  (k3_funct_2(u1_struct_0(C), u1_struct_0(D), G, k2_binop_1(u1_struct_0(C), A, u1_struct_0(C), u1_fsm_1(A, C), H, I))=k2_binop_1(u1_struct_0(D), A, u1_struct_0(D), u1_fsm_1(A, D), k3_funct_2(u1_struct_0(C), u1_struct_0(D), G, H), I) & k2_binop_1(u1_struct_0(C), A, B, u3_fsm_1(A, B, C), H, I)=k2_binop_1(u1_struct_0(D), A, B, u3_fsm_1(A, B, D), k3_funct_2(u1_struct_0(C), u1_struct_0(D), G, H), I)) ) ) ) )  =>  (r5_fsm_1(A, B, C, E, F) <=> r5_fsm_1(A, B, D, k3_funct_2(u1_struct_0(C), u1_struct_0(D), G, E), k3_funct_2(u1_struct_0(C), u1_struct_0(D), G, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) & l2_fsm_1(C, A, B)) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v8_struct_0(D) & l2_fsm_1(D, A, B)) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(D)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(D)) =>  ~ ( (D=k11_fsm_1(A, B, C) &  ( ~ (E=F)  & r5_fsm_1(A, B, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d20_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  =>  (v5_fsm_1(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  ~ ( ( ~ (D=E)  & r5_fsm_1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) &  (v5_fsm_1(C, A, B) & l2_fsm_1(C, A, B)) ) )  => r7_fsm_1(A, B, C, k11_fsm_1(A, B, C))) ) ) ) ) ) ).
fof(t47_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) & l2_fsm_1(C, A, B)) )  =>  (v5_fsm_1(C, A, B) <=>  (? [D] :  ( ( ~ (v2_struct_0(D))  &  (v8_struct_0(D) & l2_fsm_1(D, A, B)) )  & r7_fsm_1(A, B, C, k11_fsm_1(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(d21_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (v6_fsm_1(D, A, B, C) <=>  (? [E] :  (m2_finseq_1(E, A) & r1_fsm_1(A, C, E, u2_fsm_1(A, C), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d22_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  =>  (v7_fsm_1(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) => v6_fsm_1(D, A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t48_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) & l2_fsm_1(C, A, B)) )  =>  (r1_tarski(k12_fsm_1(A, B, C), u1_struct_0(C)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (r2_tarski(D, k12_fsm_1(A, B, C)) <=> v6_fsm_1(D, A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t49_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) & l2_fsm_1(C, A, B)) )  =>  (v1_funct_1(k2_partfun1(k2_zfmisc_1(u1_struct_0(C), A), u1_struct_0(C), u1_fsm_1(A, C), k2_zfmisc_1(k12_fsm_1(A, B, C), A))) &  (v1_funct_2(k2_partfun1(k2_zfmisc_1(u1_struct_0(C), A), u1_struct_0(C), u1_fsm_1(A, C), k2_zfmisc_1(k12_fsm_1(A, B, C), A)), k2_zfmisc_1(k12_fsm_1(A, B, C), A), k12_fsm_1(A, B, C)) & m1_subset_1(k2_partfun1(k2_zfmisc_1(u1_struct_0(C), A), u1_struct_0(C), u1_fsm_1(A, C), k2_zfmisc_1(k12_fsm_1(A, B, C), A)), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k12_fsm_1(A, B, C), A), k12_fsm_1(A, B, C))))) ) ) ) ) ) ) ) ).
fof(t50_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) & l2_fsm_1(C, A, B)) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k12_fsm_1(A, B, C), A), k12_fsm_1(A, B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k12_fsm_1(A, B, C), A), k12_fsm_1(A, B, C))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(k12_fsm_1(A, B, C), A), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k12_fsm_1(A, B, C), A), B)))) )  =>  (! [F] :  (m1_subset_1(F, k12_fsm_1(A, B, C)) =>  ( (D=k2_partfun1(k2_zfmisc_1(u1_struct_0(C), A), u1_struct_0(C), u1_fsm_1(A, C), k2_zfmisc_1(k12_fsm_1(A, B, C), A)) &  (E=k2_partfun1(k2_zfmisc_1(u1_struct_0(C), A), B, u3_fsm_1(A, B, C), k2_zfmisc_1(k12_fsm_1(A, B, C), A)) & F=u2_fsm_1(A, C)) )  => r4_fsm_1(A, B, C, g2_fsm_1(A, B, k12_fsm_1(A, B, C), D, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) & l2_fsm_1(C, A, B)) )  =>  (? [D] :  ( ( ~ (v2_struct_0(D))  &  (v8_struct_0(D) &  (v7_fsm_1(D, A, B) & l2_fsm_1(D, A, B)) ) )  &  (u1_fsm_1(A, D)=k2_partfun1(k2_zfmisc_1(u1_struct_0(C), A), u1_struct_0(C), u1_fsm_1(A, C), k2_zfmisc_1(k12_fsm_1(A, B, C), A)) &  (u3_fsm_1(A, B, D)=k2_partfun1(k2_zfmisc_1(u1_struct_0(C), A), B, u3_fsm_1(A, B, C), k2_zfmisc_1(k12_fsm_1(A, B, C), A)) &  (u2_fsm_1(A, D)=u2_fsm_1(A, C) & r4_fsm_1(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d24_fsm_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l2_fsm_1(D, A, B))  =>  (! [E] :  ( (v2_fsm_1(E, A, B) & l2_fsm_1(E, A, B))  =>  (E=k13_fsm_1(A, B, C, D) <=>  (u1_struct_0(E)=k2_xboole_0(u1_struct_0(C), u1_struct_0(D)) &  (u1_fsm_1(A, E)=k1_funct_4(u1_fsm_1(A, C), u1_fsm_1(A, D)) &  (u3_fsm_1(A, B, E)=k1_funct_4(u3_fsm_1(A, B, C), u3_fsm_1(A, B, D)) & u2_fsm_1(A, E)=u2_fsm_1(A, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l2_fsm_1(D, A, B))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  & l2_fsm_1(E, A, B))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(D)) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  &  (v8_struct_0(G) & l2_fsm_1(G, A, B)) )  =>  (! [H] :  (m1_subset_1(H, u1_struct_0(G)) =>  ( (G=k13_fsm_1(A, B, D, E) &  (r1_subset_1(u1_struct_0(D), u1_struct_0(E)) & F=H) )  => k2_fsm_1(A, D, F, C)=k2_fsm_1(A, G, H, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l2_fsm_1(D, A, B))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  & l2_fsm_1(E, A, B))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(D)) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  &  (v8_struct_0(G) & l2_fsm_1(G, A, B)) )  =>  (! [H] :  (m1_subset_1(H, u1_struct_0(G)) =>  ( (G=k13_fsm_1(A, B, D, E) &  (r1_subset_1(u1_struct_0(D), u1_struct_0(E)) & F=H) )  => k4_fsm_1(A, B, D, F, C)=k4_fsm_1(A, B, G, H, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l2_fsm_1(D, A, B))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  & l2_fsm_1(E, A, B))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(E)) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  &  (v8_struct_0(G) & l2_fsm_1(G, A, B)) )  =>  (! [H] :  (m1_subset_1(H, u1_struct_0(G)) =>  ( (G=k13_fsm_1(A, B, D, E) & F=H)  => k2_fsm_1(A, E, F, C)=k2_fsm_1(A, G, H, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l2_fsm_1(D, A, B))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  & l2_fsm_1(E, A, B))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(E)) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  &  (v8_struct_0(G) & l2_fsm_1(G, A, B)) )  =>  (! [H] :  (m1_subset_1(H, u1_struct_0(G)) =>  ( (G=k13_fsm_1(A, B, D, E) & F=H)  => k4_fsm_1(A, B, E, F, C)=k4_fsm_1(A, B, G, H, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) & l2_fsm_1(C, A, B)) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v5_fsm_1(D, A, B) & l2_fsm_1(D, A, B)) )  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v5_fsm_1(E, A, B) & l2_fsm_1(E, A, B)) )  =>  ~ ( (C=k13_fsm_1(A, B, D, E) &  (r1_subset_1(u1_struct_0(D), u1_struct_0(E)) &  (r4_fsm_1(A, B, D, E) &  (! [F] :  (m1_subset_1(F, u1_struct_0(k11_fsm_1(A, B, C))) =>  ~ ( (r2_tarski(u2_fsm_1(A, D), F) &  (r2_tarski(u2_fsm_1(A, E), F) & F=u2_fsm_1(A, k11_fsm_1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) & l2_fsm_1(C, A, B)) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v5_fsm_1(D, A, B) &  (v7_fsm_1(D, A, B) & l2_fsm_1(D, A, B)) ) )  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v5_fsm_1(E, A, B) &  (v7_fsm_1(E, A, B) & l2_fsm_1(E, A, B)) ) )  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(C)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(D)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(D)) =>  ~ ( (H=F &  (I=G &  (r1_subset_1(u1_struct_0(D), u1_struct_0(E)) &  (C=k13_fsm_1(A, B, D, E) &  ( ~ (r5_fsm_1(A, B, D, H, I))  & r5_fsm_1(A, B, C, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) & l2_fsm_1(C, A, B)) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v5_fsm_1(D, A, B) &  (v7_fsm_1(D, A, B) & l2_fsm_1(D, A, B)) ) )  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v5_fsm_1(E, A, B) &  (v7_fsm_1(E, A, B) & l2_fsm_1(E, A, B)) ) )  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(C)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(E)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(E)) =>  ~ ( (H=F &  (I=G &  (C=k13_fsm_1(A, B, D, E) &  ( ~ (r5_fsm_1(A, B, E, H, I))  & r5_fsm_1(A, B, C, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) & l2_fsm_1(C, A, B)) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v8_struct_0(D) &  (v5_fsm_1(D, A, B) &  (v7_fsm_1(D, A, B) & l2_fsm_1(D, A, B)) ) ) )  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v8_struct_0(E) &  (v5_fsm_1(E, A, B) &  (v7_fsm_1(E, A, B) & l2_fsm_1(E, A, B)) ) ) )  =>  ( (r1_subset_1(u1_struct_0(D), u1_struct_0(E)) & C=k13_fsm_1(A, B, D, E))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k11_fsm_1(A, B, C))) =>  (! [G] :  (m1_subset_1(G, F) =>  (! [H] :  (m1_subset_1(H, F) =>  ~ ( (r2_tarski(G, u1_struct_0(D)) &  (r2_tarski(H, u1_struct_0(D)) &  ~ (G=H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) & l2_fsm_1(C, A, B)) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v8_struct_0(D) &  (v5_fsm_1(D, A, B) &  (v7_fsm_1(D, A, B) & l2_fsm_1(D, A, B)) ) ) )  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v8_struct_0(E) &  (v5_fsm_1(E, A, B) &  (v7_fsm_1(E, A, B) & l2_fsm_1(E, A, B)) ) ) )  =>  (C=k13_fsm_1(A, B, D, E) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k11_fsm_1(A, B, C))) =>  (! [G] :  (m1_subset_1(G, F) =>  (! [H] :  (m1_subset_1(H, F) =>  ~ ( (r2_tarski(G, u1_struct_0(E)) &  (r2_tarski(H, u1_struct_0(E)) &  ~ (G=H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) & l2_fsm_1(C, A, B)) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v8_struct_0(D) &  (v5_fsm_1(D, A, B) &  (v7_fsm_1(D, A, B) & l2_fsm_1(D, A, B)) ) ) )  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v8_struct_0(E) &  (v5_fsm_1(E, A, B) &  (v7_fsm_1(E, A, B) & l2_fsm_1(E, A, B)) ) ) )  =>  ( (r1_subset_1(u1_struct_0(D), u1_struct_0(E)) &  (r4_fsm_1(A, B, D, E) & C=k13_fsm_1(A, B, D, E)) )  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k11_fsm_1(A, B, C))) =>  (? [G] :  (m1_subset_1(G, F) &  (? [H] :  (m1_subset_1(H, F) &  (r2_tarski(G, u1_struct_0(D)) &  (r2_tarski(H, u1_struct_0(E)) &  (! [I] :  (m1_subset_1(I, F) =>  (I=G | I=H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) & l2_fsm_1(C, A, B)) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v8_struct_0(D) & l2_fsm_1(D, A, B)) )  =>  (? [E] :  ( ( ~ (v2_struct_0(E))  &  (v8_struct_0(E) & l2_fsm_1(E, A, B)) )  &  (? [F] :  ( ( ~ (v2_struct_0(F))  &  (v8_struct_0(F) & l2_fsm_1(F, A, B)) )  &  (r1_subset_1(u1_struct_0(E), u1_struct_0(F)) &  (r7_fsm_1(A, B, E, C) & r7_fsm_1(A, B, F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l2_fsm_1(D, A, B))  =>  (r7_fsm_1(A, B, C, D) => r4_fsm_1(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t64_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) &  (v5_fsm_1(C, A, B) &  (v7_fsm_1(C, A, B) & l2_fsm_1(C, A, B)) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v8_struct_0(D) &  (v5_fsm_1(D, A, B) &  (v7_fsm_1(D, A, B) & l2_fsm_1(D, A, B)) ) ) )  =>  ( (r1_subset_1(u1_struct_0(C), u1_struct_0(D)) & r4_fsm_1(A, B, C, D))  => r7_fsm_1(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t65_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) &  (v7_fsm_1(C, A, B) & l2_fsm_1(C, A, B)) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v8_struct_0(D) &  (v7_fsm_1(D, A, B) & l2_fsm_1(D, A, B)) ) )  =>  (r4_fsm_1(A, B, C, D) => r7_fsm_1(A, B, k11_fsm_1(A, B, C), k11_fsm_1(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t66_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) &  (v5_fsm_1(C, A, B) &  (v7_fsm_1(C, A, B) & l2_fsm_1(C, A, B)) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v8_struct_0(D) &  (v5_fsm_1(D, A, B) &  (v7_fsm_1(D, A, B) & l2_fsm_1(D, A, B)) ) ) )  =>  (r7_fsm_1(A, B, C, D) <=> r4_fsm_1(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(abstractness_v1_fsm_1, axiom,  (! [A, B] :  (l1_fsm_1(B, A) =>  (v1_fsm_1(B, A) => B=g1_fsm_1(A, u1_struct_0(B), u1_fsm_1(A, B), u2_fsm_1(A, B))) ) ) ).
fof(dt_l1_fsm_1, axiom,  (! [A] :  (! [B] :  (l1_fsm_1(B, A) => l1_struct_0(B)) ) ) ).
fof(existence_l1_fsm_1, axiom,  (! [A] :  (? [B] : l1_fsm_1(B, A)) ) ).
fof(dt_g1_fsm_1, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, A), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, A), B)))) )  & m1_subset_1(D, B))  =>  (v1_fsm_1(g1_fsm_1(A, B, C, D), A) & l1_fsm_1(g1_fsm_1(A, B, C, D), A)) ) ) ).
fof(free_g1_fsm_1, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, A), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, A), B)))) )  & m1_subset_1(D, B))  =>  (! [E, F, G, H] :  (g1_fsm_1(A, B, C, D)=g1_fsm_1(E, F, G, H) =>  (A=E &  (B=F &  (C=G & D=H) ) ) ) ) ) ) ).
fof(dt_u1_fsm_1, axiom,  (! [A, B] :  (l1_fsm_1(B, A) =>  (v1_funct_1(u1_fsm_1(A, B)) &  (v1_funct_2(u1_fsm_1(A, B), k2_zfmisc_1(u1_struct_0(B), A), u1_struct_0(B)) & m1_subset_1(u1_fsm_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), A), u1_struct_0(B))))) ) ) ) ).
fof(dt_u2_fsm_1, axiom,  (! [A, B] :  (l1_fsm_1(B, A) => m1_subset_1(u2_fsm_1(A, B), u1_struct_0(B))) ) ).
fof(dt_k1_fsm_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_fsm_1(B, A))  &  (m1_subset_1(C, A) & m1_subset_1(D, u1_struct_0(B))) ) )  => m1_subset_1(k1_fsm_1(A, B, C, D), u1_struct_0(B))) ) ).
fof(dt_k2_fsm_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_fsm_1(B, A))  &  (m1_subset_1(C, u1_struct_0(B)) & m1_finseq_1(D, A)) ) )  => m2_finseq_1(k2_fsm_1(A, B, C, D), u1_struct_0(B))) ) ).
fof(dt_k3_fsm_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_fsm_1(B, A))  &  (m1_subset_1(C, u1_struct_0(B)) & m1_finseq_1(D, A)) ) )  => m1_subset_1(k3_fsm_1(A, B, C, D), u1_struct_0(B))) ) ).
fof(abstractness_v2_fsm_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & l2_fsm_1(C, A, B))  =>  (v2_fsm_1(C, A, B) => C=g2_fsm_1(A, B, u1_struct_0(C), u1_fsm_1(B, C), u3_fsm_1(A, B, C), u2_fsm_1(B, C))) ) ) ).
fof(dt_l2_fsm_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (l2_fsm_1(C, A, B) => l1_fsm_1(C, A)) ) ) ) ).
fof(existence_l2_fsm_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (? [C] : l2_fsm_1(C, A, B)) ) ) ).
fof(dt_g2_fsm_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(C, A), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, A), C)))) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(C, A), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, A), B)))) )  & m1_subset_1(F, C)) ) )  =>  (v2_fsm_1(g2_fsm_1(A, B, C, D, E, F), A, B) & l2_fsm_1(g2_fsm_1(A, B, C, D, E, F), A, B)) ) ) ).
fof(free_g2_fsm_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(C, A), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, A), C)))) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(C, A), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, A), B)))) )  & m1_subset_1(F, C)) ) )  =>  (! [G, H, I, J, K, L] :  (g2_fsm_1(A, B, C, D, E, F)=g2_fsm_1(G, H, I, J, K, L) =>  (A=G &  (B=H &  (C=I &  (D=J &  (E=K & F=L) ) ) ) ) ) ) ) ) ).
fof(dt_u3_fsm_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & l2_fsm_1(C, A, B))  =>  (v1_funct_1(u3_fsm_1(A, B, C)) &  (v1_funct_2(u3_fsm_1(A, B, C), k2_zfmisc_1(u1_struct_0(C), A), B) & m1_subset_1(u3_fsm_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), A), B)))) ) ) ) ).
fof(abstractness_v3_fsm_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & l3_fsm_1(C, A, B))  =>  (v3_fsm_1(C, A, B) => C=g3_fsm_1(A, B, u1_struct_0(C), u1_fsm_1(B, C), u4_fsm_1(A, B, C), u2_fsm_1(B, C))) ) ) ).
fof(dt_l3_fsm_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (l3_fsm_1(C, A, B) => l1_fsm_1(C, A)) ) ) ) ).
fof(existence_l3_fsm_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (? [C] : l3_fsm_1(C, A, B)) ) ) ).
fof(dt_g3_fsm_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(C, A), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, A), C)))) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, C, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, B)))) )  & m1_subset_1(F, C)) ) )  =>  (v3_fsm_1(g3_fsm_1(A, B, C, D, E, F), A, B) & l3_fsm_1(g3_fsm_1(A, B, C, D, E, F), A, B)) ) ) ).
fof(free_g3_fsm_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(C, A), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, A), C)))) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, C, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, B)))) )  & m1_subset_1(F, C)) ) )  =>  (! [G, H, I, J, K, L] :  (g3_fsm_1(A, B, C, D, E, F)=g3_fsm_1(G, H, I, J, K, L) =>  (A=G &  (B=H &  (C=I &  (D=J &  (E=K & F=L) ) ) ) ) ) ) ) ) ).
fof(dt_u4_fsm_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & l3_fsm_1(C, A, B))  =>  (v1_funct_1(u4_fsm_1(A, B, C)) &  (v1_funct_2(u4_fsm_1(A, B, C), u1_struct_0(C), B) & m1_subset_1(u4_fsm_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), B)))) ) ) ) ).
fof(dt_k4_fsm_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  &  (m1_subset_1(D, u1_struct_0(C)) & m1_finseq_1(E, A)) ) ) )  => m2_finseq_1(k4_fsm_1(A, B, C, D, E), B)) ) ).
fof(dt_k5_fsm_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v2_struct_0(C))  & l3_fsm_1(C, A, B))  &  (m1_subset_1(D, u1_struct_0(C)) & m1_finseq_1(E, A)) ) ) )  => m2_finseq_1(k5_fsm_1(A, B, C, D, E), B)) ) ).
fof(symmetry_r4_fsm_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  &  ( ~ (v2_struct_0(D))  & l2_fsm_1(D, A, B)) ) ) )  =>  (r4_fsm_1(A, B, C, D) => r4_fsm_1(A, B, D, C)) ) ) ).
fof(reflexivity_r4_fsm_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  &  ( ~ (v2_struct_0(D))  & l2_fsm_1(D, A, B)) ) ) )  => r4_fsm_1(A, B, C, C)) ) ).
fof(symmetry_r5_fsm_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  &  (m1_subset_1(D, u1_struct_0(C)) & m1_subset_1(E, u1_struct_0(C))) ) ) )  =>  (r5_fsm_1(A, B, C, D, E) => r5_fsm_1(A, B, C, E, D)) ) ) ).
fof(reflexivity_r5_fsm_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  &  (m1_subset_1(D, u1_struct_0(C)) & m1_subset_1(E, u1_struct_0(C))) ) ) )  => r5_fsm_1(A, B, C, D, D)) ) ).
fof(dt_k6_fsm_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  & v7_ordinal1(D)) ) )  =>  (v1_partfun1(k6_fsm_1(A, B, C, D), u1_struct_0(C)) &  (v3_relat_2(k6_fsm_1(A, B, C, D)) &  (v8_relat_2(k6_fsm_1(A, B, C, D)) & m1_subset_1(k6_fsm_1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(C))))) ) ) ) ) ).
fof(dt_k7_fsm_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  & v7_ordinal1(D)) ) )  =>  ( ~ (v1_xboole_0(k7_fsm_1(A, B, C, D)))  & m1_eqrel_1(k7_fsm_1(A, B, C, D), u1_struct_0(C))) ) ) ).
fof(dt_k8_fsm_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) & l2_fsm_1(C, A, B)) ) ) )  => m1_eqrel_1(k8_fsm_1(A, B, C), u1_struct_0(C))) ) ).
fof(dt_k9_fsm_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) & l2_fsm_1(C, A, B)) )  &  (m1_subset_1(D, k8_fsm_1(A, B, C)) & m1_subset_1(E, A)) ) ) )  => m2_subset_1(k9_fsm_1(A, B, C, D, E), k1_zfmisc_1(u1_struct_0(C)), k8_fsm_1(A, B, C))) ) ).
fof(dt_k10_fsm_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) & l2_fsm_1(C, A, B)) )  &  (m1_subset_1(D, k8_fsm_1(A, B, C)) & m1_subset_1(E, A)) ) ) )  => m1_subset_1(k10_fsm_1(A, B, C, D, E), B)) ) ).
fof(dt_k11_fsm_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) & l2_fsm_1(C, A, B)) ) ) )  =>  (v2_fsm_1(k11_fsm_1(A, B, C), A, B) & l2_fsm_1(k11_fsm_1(A, B, C), A, B)) ) ) ).
fof(symmetry_r7_fsm_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  &  ( ~ (v2_struct_0(D))  & l2_fsm_1(D, A, B)) ) ) )  =>  (r7_fsm_1(A, B, C, D) => r7_fsm_1(A, B, D, C)) ) ) ).
fof(reflexivity_r7_fsm_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  &  ( ~ (v2_struct_0(D))  & l2_fsm_1(D, A, B)) ) ) )  => r7_fsm_1(A, B, C, C)) ) ).
fof(dt_k13_fsm_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  &  ( ~ (v2_struct_0(D))  & l2_fsm_1(D, A, B)) ) )  =>  (v2_fsm_1(k13_fsm_1(A, B, C, D), A, B) & l2_fsm_1(k13_fsm_1(A, B, C, D), A, B)) ) ) ).
fof(d23_fsm_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_1(C, A, B))  => k12_fsm_1(A, B, C)=a_3_0_fsm_1(A, B, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_fsm_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v2_struct_0(D))  & l2_fsm_1(D, B, C)) ) )  =>  (r2_hidden(A, a_3_0_fsm_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(D)) &  (A=E & v6_fsm_1(E, B, C, D)) ) ) ) ) ) ).
fof(fc1_fsm_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_fsm_1(B, A))  &  (m1_subset_1(C, u1_struct_0(B)) & m1_finseq_1(D, A)) ) )  =>  ~ (v1_xboole_0(k2_fsm_1(A, B, C, D))) ) ) ).
fof(rc1_fsm_2, axiom,  (! [A] :  (? [B] :  (l1_fsm_2(B, A) & v4_fsm_2(B, A)) ) ) ).
fof(rc2_fsm_2, axiom,  (! [A] :  (? [B] :  (l1_fsm_2(B, A) &  ~ (v2_struct_0(B)) ) ) ) ).
fof(rc3_fsm_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (? [C] :  (l2_fsm_2(C, A, B) & v6_fsm_2(C, A, B)) ) ) ) ).
fof(rc4_fsm_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (? [C] :  (l2_fsm_2(C, A, B) &  ( ~ (v2_struct_0(C))  & v6_fsm_2(C, A, B)) ) ) ) ) ).
fof(fc2_fsm_2, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(E) &  (v1_funct_2(E, k2_tarski(C, D), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_tarski(C, D), B)))) ) ) )  =>  ( ~ (v2_struct_0(k1_fsm_2(A, B, C, D, E)))  &  (v1_fsm_2(k1_fsm_2(A, B, C, D, E), A) & v6_fsm_2(k1_fsm_2(A, B, C, D, E), A, B)) ) ) ) ).
fof(fc3_fsm_2, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(E) &  (v1_funct_2(E, k2_tarski(C, D), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_tarski(C, D), B)))) ) ) )  =>  ( ~ (v2_struct_0(k1_fsm_2(A, B, C, D, E)))  &  (v5_fsm_2(k1_fsm_2(A, B, C, D, E), A) & v6_fsm_2(k1_fsm_2(A, B, C, D, E), A, B)) ) ) ) ).
fof(rc5_fsm_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  (? [C] :  (l2_fsm_2(C, A, B) &  ( ~ (v2_struct_0(C))  &  (v1_fsm_2(C, A) & v5_fsm_2(C, A)) ) ) ) ) ) ).
fof(rc6_fsm_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (l1_fsm_2(B, A) &  ( ~ (v2_struct_0(B))  &  (v1_fsm_2(B, A) & v5_fsm_2(B, A)) ) ) ) ) ) ).
fof(t1_fsm_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_fsm_1(C, A))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) => k2_fsm_1(A, C, D, k12_finseq_1(A, B))=k2_finseq_4(u1_struct_0(C), D, k3_funct_2(k2_zfmisc_1(u1_struct_0(C), A), u1_struct_0(C), u1_fsm_1(A, C), k1_domain_1(u1_struct_0(C), A, D, B)))) ) ) ) ) ) ) ) ).
fof(t2_fsm_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l1_fsm_1(D, A))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(D)) => k2_fsm_1(A, D, E, k2_finseq_4(A, B, C))=k3_finseq_4(u1_struct_0(D), E, k3_funct_2(k2_zfmisc_1(u1_struct_0(D), A), u1_struct_0(D), u1_fsm_1(A, D), k1_domain_1(u1_struct_0(D), A, E, B)), k3_funct_2(k2_zfmisc_1(u1_struct_0(D), A), u1_struct_0(D), u1_fsm_1(A, D), k1_domain_1(u1_struct_0(D), A, k3_funct_2(k2_zfmisc_1(u1_struct_0(D), A), u1_struct_0(D), u1_fsm_1(A, D), k1_domain_1(u1_struct_0(D), A, E, B)), C)))) ) ) ) ) ) ) ) ) ) ).
fof(t3_fsm_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  & l1_fsm_1(E, A))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(E)) => k2_fsm_1(A, E, F, k3_finseq_4(A, B, C, D))=k9_finseq_4(u1_struct_0(E), F, k3_funct_2(k2_zfmisc_1(u1_struct_0(E), A), u1_struct_0(E), u1_fsm_1(A, E), k1_domain_1(u1_struct_0(E), A, F, B)), k3_funct_2(k2_zfmisc_1(u1_struct_0(E), A), u1_struct_0(E), u1_fsm_1(A, E), k1_domain_1(u1_struct_0(E), A, k3_funct_2(k2_zfmisc_1(u1_struct_0(E), A), u1_struct_0(E), u1_fsm_1(A, E), k1_domain_1(u1_struct_0(E), A, F, B)), C)), k3_funct_2(k2_zfmisc_1(u1_struct_0(E), A), u1_struct_0(E), u1_fsm_1(A, E), k1_domain_1(u1_struct_0(E), A, k3_funct_2(k2_zfmisc_1(u1_struct_0(E), A), u1_struct_0(E), u1_fsm_1(A, E), k1_domain_1(u1_struct_0(E), A, k3_funct_2(k2_zfmisc_1(u1_struct_0(E), A), u1_struct_0(E), u1_fsm_1(A, E), k1_domain_1(u1_struct_0(E), A, F, B)), C)), D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_fsm_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_fsm_1(B, A))  =>  (v1_fsm_2(B, A) <=>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & m1_subset_1(C, k4_ordinal1))  =>  (! [D] :  (m2_finseq_1(D, A) =>  (! [E] :  (m2_finseq_1(E, A) =>  ( (k1_funct_1(D, 1)=k1_funct_1(E, 1) &  (r1_xxreal_0(C, k1_nat_1(k3_finseq_1(D), 1)) & r1_xxreal_0(C, k1_nat_1(k3_finseq_1(E), 1))) )  => k1_funct_1(k2_fsm_1(A, B, u2_fsm_1(A, B), D), C)=k1_funct_1(k2_fsm_1(A, B, u2_fsm_1(A, B), E), C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_fsm_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_fsm_1(B, A))  =>  (v1_fsm_2(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  (k1_funct_1(C, 1)=k1_funct_1(D, 1) => r3_xboole_0(k2_fsm_1(A, B, u2_fsm_1(A, B), C), k2_fsm_1(A, B, u2_fsm_1(A, B), D))) ) ) ) ) ) ) ) ) ) ).
fof(t5_fsm_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_fsm_1(B, A))  =>  ( (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  (k1_funct_1(C, 1)=k1_funct_1(D, 1) => r3_xboole_0(k2_fsm_1(A, B, u2_fsm_1(A, B), C), k2_fsm_1(A, B, u2_fsm_1(A, B), D))) ) ) ) )  => v1_fsm_2(B, A)) ) ) ) ) ).
fof(t6_fsm_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_fsm_1(B, A))  =>  (v1_fsm_2(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  ( (k1_funct_1(C, 1)=k1_funct_1(D, 1) & k3_finseq_1(C)=k3_finseq_1(D))  => k2_fsm_1(A, B, u2_fsm_1(A, B), C)=k2_fsm_1(A, B, u2_fsm_1(A, B), D)) ) ) ) ) ) ) ) ) ) ).
fof(t7_fsm_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_fsm_1(B, A))  =>  ( (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  ( (k1_funct_1(C, 1)=k1_funct_1(D, 1) & k3_finseq_1(C)=k3_finseq_1(D))  => k2_fsm_1(A, B, u2_fsm_1(A, B), C)=k2_fsm_1(A, B, u2_fsm_1(A, B), D)) ) ) ) )  => v1_fsm_2(B, A)) ) ) ) ) ).
fof(d2_fsm_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_fsm_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, A) =>  (r1_fsm_2(A, B, C, D) <=>  (? [E] :  (m2_finseq_1(E, A) & r1_fsm_1(A, B, k8_finseq_1(A, k12_finseq_1(A, D), E), u2_fsm_1(A, B), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_fsm_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_fsm_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (v2_fsm_2(C, A, B) <=>  (? [D] :  (m2_finseq_1(D, A) & r1_fsm_1(A, B, D, u2_fsm_1(A, B), C)) ) ) ) ) ) ) ) ) ).
fof(t8_fsm_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_fsm_1(C, A))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (r1_fsm_2(A, C, D, B) => v2_fsm_2(D, A, C)) ) ) ) ) ) ) ) ) ).
fof(t9_fsm_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_fsm_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  ~ ( (v2_fsm_2(C, A, B) &  ( ~ (C=u2_fsm_1(A, B))  &  (! [D] :  (m1_subset_1(D, A) =>  ~ (r1_fsm_2(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_fsm_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_fsm_1(B, A))  => v2_fsm_2(u2_fsm_1(A, B), A, B)) ) ) ) ).
fof(t11_fsm_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_fsm_1(C, A))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  ~ ( (v1_fsm_2(C, A) &  (r1_fsm_2(A, C, D, B) &  (! [E] :  ( ( ~ (v8_ordinal1(E))  & m1_subset_1(E, k4_ordinal1))  =>  (? [F] :  (m2_finseq_1(F, A) &  (r1_xxreal_0(E, k1_nat_1(k3_finseq_1(F), 1)) &  (k1_funct_1(F, 1)=B &  ~ ( (D=k1_funct_1(k2_fsm_1(A, C, u2_fsm_1(A, C), F), E) &  (! [G] :  ( ( ~ (v8_ordinal1(G))  & m1_subset_1(G, k4_ordinal1))  =>  ~ ( ( ~ (r1_xxreal_0(E, G))  & k1_funct_1(k2_fsm_1(A, C, u2_fsm_1(A, C), F), G)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_fsm_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_fsm_1(B, A))  =>  (v3_fsm_2(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => v2_fsm_2(C, A, B)) ) ) ) ) ) ) ).
fof(t12_fsm_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_fsm_1(B, A))  =>  ( (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => k3_funct_2(k2_zfmisc_1(u1_struct_0(B), A), u1_struct_0(B), u1_fsm_1(A, B), k1_domain_1(u1_struct_0(B), A, E, C))=k3_funct_2(k2_zfmisc_1(u1_struct_0(B), A), u1_struct_0(B), u1_fsm_1(A, B), k1_domain_1(u1_struct_0(B), A, E, D))) ) ) ) ) )  => v1_fsm_2(B, A)) ) ) ) ) ).
fof(t13_fsm_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_fsm_1(B, A))  =>  ( ( (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  ( ~ (E=u2_fsm_1(A, B))  => k3_funct_2(k2_zfmisc_1(u1_struct_0(B), A), u1_struct_0(B), u1_fsm_1(A, B), k1_domain_1(u1_struct_0(B), A, E, C))=k3_funct_2(k2_zfmisc_1(u1_struct_0(B), A), u1_struct_0(B), u1_fsm_1(A, B), k1_domain_1(u1_struct_0(B), A, E, D))) ) ) ) ) ) )  &  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  ~ (k3_funct_2(k2_zfmisc_1(u1_struct_0(B), A), u1_struct_0(B), u1_fsm_1(A, B), k1_domain_1(u1_struct_0(B), A, D, C))=u2_fsm_1(A, B)) ) ) ) ) )  => v1_fsm_2(B, A)) ) ) ) ) ).
fof(t14_fsm_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_fsm_1(B, A))  =>  ( (v3_fsm_2(B, A) & v1_fsm_2(B, A))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  ( ~ (E=u2_fsm_1(A, B))  => k1_funct_1(k2_fsm_1(A, B, E, k12_finseq_1(A, C)), 2)=k1_funct_1(k2_fsm_1(A, B, E, k12_finseq_1(A, D)), 2)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_fsm_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_fsm_1(B, A))  =>  ( (v3_fsm_2(B, A) & v1_fsm_2(B, A))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  ( ~ (E=u2_fsm_1(A, B))  => k3_funct_2(k2_zfmisc_1(u1_struct_0(B), A), u1_struct_0(B), u1_fsm_1(A, B), k1_domain_1(u1_struct_0(B), A, E, C))=k3_funct_2(k2_zfmisc_1(u1_struct_0(B), A), u1_struct_0(B), u1_fsm_1(A, B), k1_domain_1(u1_struct_0(B), A, E, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_fsm_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_fsm_1(B, A))  =>  ( (v3_fsm_2(B, A) & v1_fsm_2(B, A))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ~ ( ( ~ (k3_funct_2(k2_zfmisc_1(u1_struct_0(B), A), u1_struct_0(B), u1_fsm_1(A, B), k1_domain_1(u1_struct_0(B), A, u2_fsm_1(A, B), D))=k3_funct_2(k2_zfmisc_1(u1_struct_0(B), A), u1_struct_0(B), u1_fsm_1(A, B), k1_domain_1(u1_struct_0(B), A, u2_fsm_1(A, B), E)))  & k3_funct_2(k2_zfmisc_1(u1_struct_0(B), A), u1_struct_0(B), u1_fsm_1(A, B), k1_domain_1(u1_struct_0(B), A, F, C))=u2_fsm_1(A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_fsm_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_fsm_2(C, A))  =>  (r2_fsm_2(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(C)) &  (r1_fsm_2(A, C, D, B) & r2_tarski(D, u1_fsm_2(A, C))) ) ) ) ) ) ) ) ) ) ).
fof(d6_fsm_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_fsm_2(B, A))  =>  (v5_fsm_2(B, A) <=>  (! [C] :  (m1_subset_1(C, A) => r2_fsm_2(A, C, B)) ) ) ) ) ) ) ).
fof(d7_fsm_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (! [D] :  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_tarski(C, D), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_tarski(C, D), B)))) )  =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v6_fsm_2(F, A, B) & l2_fsm_2(F, A, B)) )  =>  (F=k1_fsm_2(A, B, C, D, E) <=>  (u1_struct_0(F)=k2_tarski(C, D) &  (r1_funct_2(k2_zfmisc_1(u1_struct_0(F), A), u1_struct_0(F), k2_zfmisc_1(k2_tarski(C, D), A), k1_tarski(D), u1_fsm_1(A, F), k7_funcop_1(k2_zfmisc_1(k2_tarski(C, D), A), D)) &  (r1_funct_2(u1_struct_0(F), B, k2_tarski(C, D), B, u4_fsm_1(A, B, F), E) &  (u2_fsm_1(A, F)=C & u1_fsm_2(A, F)=k1_tarski(D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_fsm_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (! [E] :  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_tarski(D, E), B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_tarski(D, E), B)))) )  =>  (! [G] :  ( ( ~ (v8_ordinal1(G))  & m1_subset_1(G, k4_ordinal1))  =>  (r1_xxreal_0(G, k1_nat_1(k3_finseq_1(C), 1)) =>  (r1_xxreal_0(G, 1) | k1_funct_1(k2_fsm_1(A, k1_fsm_2(A, B, D, E, F), u2_fsm_1(A, k1_fsm_2(A, B, D, E, F)), C), G)=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_fsm_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l2_fsm_2(D, A, B))  =>  ~ ( (v1_fsm_2(D, A) &  (r2_fsm_2(A, C, D) &  (! [E] :  ( ( ~ (v8_ordinal1(E))  & m1_subset_1(E, k4_ordinal1))  =>  ~ ( ( (! [F] :  (m2_finseq_1(F, A) =>  ( (r1_xxreal_0(E, k1_nat_1(k3_finseq_1(F), 1)) & k1_funct_1(F, 1)=C)  => r2_tarski(k1_funct_1(k2_fsm_1(A, D, u2_fsm_1(A, D), F), E), u1_fsm_2(A, D))) ) )  &  (! [F] :  (m2_finseq_1(F, A) =>  (! [G] :  ( ( ~ (v8_ordinal1(G))  & m1_subset_1(G, k4_ordinal1))  =>  ~ ( (r1_xxreal_0(G, k1_nat_1(k3_finseq_1(F), 1)) &  (k1_funct_1(F, 1)=C &  ( ~ (r1_xxreal_0(E, G))  & r2_tarski(k1_funct_1(k2_fsm_1(A, D, u2_fsm_1(A, D), F), G), u1_fsm_2(A, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_fsm_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_2(C, A, B))  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (r3_fsm_2(A, B, C, D, E) <=>  (? [F] :  ( ( ~ (v8_ordinal1(F))  & m1_subset_1(F, k4_ordinal1))  &  (! [G] :  (m2_finseq_1(G, A) =>  (k1_funct_1(G, 1)=D =>  ( (r1_xxreal_0(F, k1_nat_1(k3_finseq_1(G), 1)) =>  (E=k1_funct_1(u4_fsm_1(A, B, C), k1_funct_1(k2_fsm_1(A, C, u2_fsm_1(A, C), G), F)) & r2_tarski(k1_funct_1(k2_fsm_1(A, C, u2_fsm_1(A, C), G), F), u1_fsm_2(A, C))) )  &  (! [H] :  ( ( ~ (v8_ordinal1(H))  & m1_subset_1(H, k4_ordinal1))  =>  ~ ( ( ~ (r1_xxreal_0(F, H))  &  (r1_xxreal_0(H, k1_nat_1(k3_finseq_1(G), 1)) & r2_tarski(k1_funct_1(k2_fsm_1(A, C, u2_fsm_1(A, C), G), H), u1_fsm_2(A, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_fsm_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l2_fsm_2(D, A, B))  =>  (r2_tarski(u2_fsm_1(A, D), u1_fsm_2(A, D)) => r3_fsm_2(A, B, D, C, k3_funct_2(u1_struct_0(D), B, u4_fsm_1(A, B, D), u2_fsm_1(A, D)))) ) ) ) ) ) ) ) ) ).
fof(t20_fsm_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l2_fsm_2(D, A, B))  =>  ~ ( (v1_fsm_2(D, A) &  (r2_fsm_2(A, C, D) &  (! [E] :  (m1_subset_1(E, B) =>  ~ (r3_fsm_2(A, B, D, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_fsm_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l2_fsm_2(D, A, B))  =>  (r2_fsm_2(A, C, D) =>  (! [E] :  (m1_subset_1(E, B) =>  (! [F] :  (m1_subset_1(F, B) =>  ( (r3_fsm_2(A, B, D, C, E) & r3_fsm_2(A, B, D, C, F))  => E=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_fsm_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_2(C, k2_zfmisc_1(A, A), k1_ordinal1(A)))  =>  ( (v1_fsm_2(C, k2_zfmisc_1(A, A)) &  (u1_struct_0(C)=k1_ordinal1(A) &  (u1_fsm_2(k2_zfmisc_1(A, A), C)=A &  (u2_fsm_1(k2_zfmisc_1(A, A), C)=A &  (u4_fsm_1(k2_zfmisc_1(A, A), k1_ordinal1(A), C)=k6_partfun1(u1_struct_0(C)) &  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) => k3_funct_2(k2_zfmisc_1(u1_struct_0(C), k2_zfmisc_1(A, A)), u1_struct_0(C), u1_fsm_1(k2_zfmisc_1(A, A), C), k1_domain_1(u1_struct_0(C), k2_zfmisc_1(A, A), u2_fsm_1(k2_zfmisc_1(A, A), C), k1_domain_1(A, A, D, E)))=k4_binop_1(A, B, D, E)) ) ) ) ) ) ) ) )  =>  (v5_fsm_2(C, k2_zfmisc_1(A, A)) &  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) => r3_fsm_2(k2_zfmisc_1(A, A), k1_ordinal1(A), C, k1_domain_1(A, A, D, E), k4_binop_1(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_fsm_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_fsm_2(A, k2_zfmisc_1(k1_numbers, k1_numbers), k1_ordinal1(k1_numbers)))  =>  ( (v1_fsm_2(A, k2_zfmisc_1(k1_numbers, k1_numbers)) &  (u1_struct_0(A)=k1_ordinal1(k1_numbers) &  (u1_fsm_2(k2_zfmisc_1(k1_numbers, k1_numbers), A)=k1_numbers &  (u2_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A)=k1_numbers &  (u4_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), k1_ordinal1(k1_numbers), A)=k6_partfun1(u1_struct_0(A)) &  ( (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (r1_xxreal_0(C, B) => k1_funct_1(u1_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A), k4_tarski(u2_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A), k4_tarski(B, C)))=B) ) ) ) )  &  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(C, B))  => k1_funct_1(u1_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A), k4_tarski(u2_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A), k4_tarski(B, C)))=C) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) => r3_fsm_2(k2_zfmisc_1(k1_numbers, k1_numbers), k1_ordinal1(k1_numbers), A, k1_domain_1(k1_numbers, k1_numbers, B, C), k4_xxreal_0(B, C))) ) ) ) ) ) ) ).
fof(t24_fsm_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_fsm_2(A, k2_zfmisc_1(k1_numbers, k1_numbers), k1_ordinal1(k1_numbers)))  =>  ( (v1_fsm_2(A, k2_zfmisc_1(k1_numbers, k1_numbers)) &  (u1_struct_0(A)=k1_ordinal1(k1_numbers) &  (u1_fsm_2(k2_zfmisc_1(k1_numbers, k1_numbers), A)=k1_numbers &  (u2_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A)=k1_numbers &  (u4_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), k1_ordinal1(k1_numbers), A)=k6_partfun1(u1_struct_0(A)) &  ( (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(C, B))  => k1_funct_1(u1_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A), k4_tarski(u2_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A), k4_tarski(B, C)))=B) ) ) ) )  &  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (r1_xxreal_0(C, B) => k1_funct_1(u1_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A), k4_tarski(u2_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A), k4_tarski(B, C)))=C) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) => r3_fsm_2(k2_zfmisc_1(k1_numbers, k1_numbers), k1_ordinal1(k1_numbers), A, k1_domain_1(k1_numbers, k1_numbers, B, C), k3_xxreal_0(B, C))) ) ) ) ) ) ) ).
fof(t25_fsm_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_fsm_2(A, k2_zfmisc_1(k1_numbers, k1_numbers), k1_ordinal1(k1_numbers)))  =>  ( (v1_fsm_2(A, k2_zfmisc_1(k1_numbers, k1_numbers)) &  (u1_struct_0(A)=k1_ordinal1(k1_numbers) &  (u1_fsm_2(k2_zfmisc_1(k1_numbers, k1_numbers), A)=k1_numbers &  (u2_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A)=k1_numbers &  (u4_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), k1_ordinal1(k1_numbers), A)=k6_partfun1(u1_struct_0(A)) &  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) => k1_funct_1(u1_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A), k4_tarski(u2_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A), k4_tarski(B, C)))=k2_xcmplx_0(B, C)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) => r3_fsm_2(k2_zfmisc_1(k1_numbers, k1_numbers), k1_ordinal1(k1_numbers), A, k1_domain_1(k1_numbers, k1_numbers, B, C), k3_real_1(B, C))) ) ) ) ) ) ) ).
fof(t26_fsm_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_fsm_2(A, k2_zfmisc_1(k1_numbers, k1_numbers), k1_ordinal1(k1_numbers)))  =>  ( (v1_fsm_2(A, k2_zfmisc_1(k1_numbers, k1_numbers)) &  (u1_struct_0(A)=k1_ordinal1(k1_numbers) &  (u1_fsm_2(k2_zfmisc_1(k1_numbers, k1_numbers), A)=k1_numbers &  (u2_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A)=k1_numbers &  (u4_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), k1_ordinal1(k1_numbers), A)=k6_partfun1(u1_struct_0(A)) &  ( (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ ( (r1_xxreal_0(B, k5_numbers) & r1_xxreal_0(C, k5_numbers)) )  => k1_funct_1(u1_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A), k4_tarski(u2_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A), k4_tarski(B, C)))=1) ) ) ) )  &  ( (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_xxreal_0(B, k5_numbers) & r1_xxreal_0(C, k5_numbers))  =>  ( ( ~ (B=k5_numbers)  &  ~ (C=k5_numbers) )  | k1_funct_1(u1_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A), k4_tarski(u2_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A), k4_tarski(B, C)))=k5_numbers) ) ) ) ) )  &  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(k5_numbers, B))  &  ( ~ (r1_xxreal_0(k5_numbers, C))  &  ~ (k1_funct_1(u1_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A), k4_tarski(u2_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A), k4_tarski(B, C)))=k4_xcmplx_0(1)) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) => r3_fsm_2(k2_zfmisc_1(k1_numbers, k1_numbers), k1_ordinal1(k1_numbers), A, k1_domain_1(k1_numbers, k1_numbers, B, C), k4_xxreal_0(k1_absvalue(B), k1_absvalue(C)))) ) ) ) ) ) ) ).
fof(d9_fsm_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v1_fsm_2(C, A) &  (v5_fsm_2(C, A) & l2_fsm_2(C, A, B)) ) )  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, B) =>  (E=k2_fsm_2(A, B, C, D) <=> r3_fsm_2(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_fsm_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k7_domain_1(k4_ordinal1, k5_numbers, 1), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k7_domain_1(k4_ordinal1, k5_numbers, 1), B)))) )  => k2_fsm_2(A, B, k1_fsm_2(A, B, k5_numbers, 1, D), C)=k1_funct_1(D, 1)) ) ) ) ) ) ) ) ).
fof(t28_fsm_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fsm_2(A, k2_zfmisc_1(k1_numbers, k1_numbers)) &  (v5_fsm_2(A, k2_zfmisc_1(k1_numbers, k1_numbers)) & l2_fsm_2(A, k2_zfmisc_1(k1_numbers, k1_numbers), k1_ordinal1(k1_numbers))) ) )  =>  ( (u1_struct_0(A)=k1_ordinal1(k1_numbers) &  (u1_fsm_2(k2_zfmisc_1(k1_numbers, k1_numbers), A)=k1_numbers &  (u2_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A)=k1_numbers &  (u4_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), k1_ordinal1(k1_numbers), A)=k6_partfun1(u1_struct_0(A)) &  ( (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (r1_xxreal_0(C, B) => k1_funct_1(u1_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A), k4_tarski(u2_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A), k4_tarski(B, C)))=B) ) ) ) )  &  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(C, B))  => k1_funct_1(u1_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A), k4_tarski(u2_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A), k4_tarski(B, C)))=C) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) => k2_fsm_2(k2_zfmisc_1(k1_numbers, k1_numbers), k1_ordinal1(k1_numbers), A, k1_domain_1(k1_numbers, k1_numbers, B, C))=k4_xxreal_0(B, C)) ) ) ) ) ) ) ).
fof(t29_fsm_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fsm_2(A, k2_zfmisc_1(k1_numbers, k1_numbers)) &  (v5_fsm_2(A, k2_zfmisc_1(k1_numbers, k1_numbers)) & l2_fsm_2(A, k2_zfmisc_1(k1_numbers, k1_numbers), k1_ordinal1(k1_numbers))) ) )  =>  ( (u1_struct_0(A)=k1_ordinal1(k1_numbers) &  (u1_fsm_2(k2_zfmisc_1(k1_numbers, k1_numbers), A)=k1_numbers &  (u2_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A)=k1_numbers &  (u4_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), k1_ordinal1(k1_numbers), A)=k6_partfun1(u1_struct_0(A)) &  ( (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(C, B))  => k1_funct_1(u1_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A), k4_tarski(u2_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A), k4_tarski(B, C)))=B) ) ) ) )  &  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (r1_xxreal_0(C, B) => k1_funct_1(u1_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A), k4_tarski(u2_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A), k4_tarski(B, C)))=C) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) => k2_fsm_2(k2_zfmisc_1(k1_numbers, k1_numbers), k1_ordinal1(k1_numbers), A, k1_domain_1(k1_numbers, k1_numbers, B, C))=k3_xxreal_0(B, C)) ) ) ) ) ) ) ).
fof(t30_fsm_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fsm_2(A, k2_zfmisc_1(k1_numbers, k1_numbers)) &  (v5_fsm_2(A, k2_zfmisc_1(k1_numbers, k1_numbers)) & l2_fsm_2(A, k2_zfmisc_1(k1_numbers, k1_numbers), k1_ordinal1(k1_numbers))) ) )  =>  ( (u1_struct_0(A)=k1_ordinal1(k1_numbers) &  (u1_fsm_2(k2_zfmisc_1(k1_numbers, k1_numbers), A)=k1_numbers &  (u2_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A)=k1_numbers &  (u4_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), k1_ordinal1(k1_numbers), A)=k6_partfun1(u1_struct_0(A)) &  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) => k1_funct_1(u1_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A), k4_tarski(u2_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A), k4_tarski(B, C)))=k2_xcmplx_0(B, C)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) => k2_fsm_2(k2_zfmisc_1(k1_numbers, k1_numbers), k1_ordinal1(k1_numbers), A, k1_domain_1(k1_numbers, k1_numbers, B, C))=k3_real_1(B, C)) ) ) ) ) ) ) ).
fof(t31_fsm_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_fsm_2(A, k2_zfmisc_1(k1_numbers, k1_numbers)) &  (v5_fsm_2(A, k2_zfmisc_1(k1_numbers, k1_numbers)) & l2_fsm_2(A, k2_zfmisc_1(k1_numbers, k1_numbers), k1_ordinal1(k1_numbers))) ) )  =>  ( (u1_struct_0(A)=k1_ordinal1(k1_numbers) &  (u1_fsm_2(k2_zfmisc_1(k1_numbers, k1_numbers), A)=k1_numbers &  (u2_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A)=k1_numbers &  (u4_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), k1_ordinal1(k1_numbers), A)=k6_partfun1(u1_struct_0(A)) &  ( (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ ( (r1_xxreal_0(B, k5_numbers) & r1_xxreal_0(C, k5_numbers)) )  => k1_funct_1(u1_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A), k4_tarski(u2_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A), k4_tarski(B, C)))=1) ) ) ) )  &  ( (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_xxreal_0(B, k5_numbers) & r1_xxreal_0(C, k5_numbers))  =>  ( ( ~ (B=k5_numbers)  &  ~ (C=k5_numbers) )  | k1_funct_1(u1_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A), k4_tarski(u2_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A), k4_tarski(B, C)))=k5_numbers) ) ) ) ) )  &  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(k5_numbers, B))  &  ( ~ (r1_xxreal_0(k5_numbers, C))  &  ~ (k1_funct_1(u1_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A), k4_tarski(u2_fsm_1(k2_zfmisc_1(k1_numbers, k1_numbers), A), k4_tarski(B, C)))=k4_xcmplx_0(1)) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) => k2_fsm_2(k2_zfmisc_1(k1_numbers, k1_numbers), k1_ordinal1(k1_numbers), A, k1_domain_1(k1_numbers, k1_numbers, B, C))=k4_xxreal_0(k1_absvalue(B), k1_absvalue(C))) ) ) ) ) ) ) ).
fof(abstractness_v4_fsm_2, axiom,  (! [A, B] :  (l1_fsm_2(B, A) =>  (v4_fsm_2(B, A) => B=g1_fsm_2(A, u1_struct_0(B), u1_fsm_1(A, B), u2_fsm_1(A, B), u1_fsm_2(A, B))) ) ) ).
fof(dt_l1_fsm_2, axiom,  (! [A] :  (! [B] :  (l1_fsm_2(B, A) => l1_fsm_1(B, A)) ) ) ).
fof(existence_l1_fsm_2, axiom,  (! [A] :  (? [B] : l1_fsm_2(B, A)) ) ).
fof(dt_g1_fsm_2, axiom,  (! [A, B, C, D, E] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, A), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, A), B)))) )  &  (m1_subset_1(D, B) & m1_subset_1(E, k1_zfmisc_1(B))) )  =>  (v4_fsm_2(g1_fsm_2(A, B, C, D, E), A) & l1_fsm_2(g1_fsm_2(A, B, C, D, E), A)) ) ) ).
fof(free_g1_fsm_2, axiom,  (! [A, B, C, D, E] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, A), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, A), B)))) )  &  (m1_subset_1(D, B) & m1_subset_1(E, k1_zfmisc_1(B))) )  =>  (! [F, G, H, I, J] :  (g1_fsm_2(A, B, C, D, E)=g1_fsm_2(F, G, H, I, J) =>  (A=F &  (B=G &  (C=H &  (D=I & E=J) ) ) ) ) ) ) ) ).
fof(dt_u1_fsm_2, axiom,  (! [A, B] :  (l1_fsm_2(B, A) => m1_subset_1(u1_fsm_2(A, B), k1_zfmisc_1(u1_struct_0(B)))) ) ).
fof(abstractness_v6_fsm_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & l2_fsm_2(C, A, B))  =>  (v6_fsm_2(C, A, B) => C=g2_fsm_2(A, B, u1_struct_0(C), u1_fsm_1(B, C), u4_fsm_1(A, B, C), u2_fsm_1(B, C), u1_fsm_2(B, C))) ) ) ).
fof(dt_l2_fsm_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (l2_fsm_2(C, A, B) =>  (l1_fsm_2(C, A) & l3_fsm_1(C, A, B)) ) ) ) ) ).
fof(existence_l2_fsm_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (? [C] : l2_fsm_2(C, A, B)) ) ) ).
fof(dt_g2_fsm_2, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(C, A), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, A), C)))) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, C, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, B)))) )  &  (m1_subset_1(F, C) & m1_subset_1(G, k1_zfmisc_1(C))) ) ) )  =>  (v6_fsm_2(g2_fsm_2(A, B, C, D, E, F, G), A, B) & l2_fsm_2(g2_fsm_2(A, B, C, D, E, F, G), A, B)) ) ) ).
fof(free_g2_fsm_2, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(C, A), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, A), C)))) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, C, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, B)))) )  &  (m1_subset_1(F, C) & m1_subset_1(G, k1_zfmisc_1(C))) ) ) )  =>  (! [H, I, J, K, L, M, N] :  (g2_fsm_2(A, B, C, D, E, F, G)=g2_fsm_2(H, I, J, K, L, M, N) =>  (A=H &  (B=I &  (C=J &  (D=K &  (E=L &  (F=M & G=N) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_fsm_2, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(E) &  (v1_funct_2(E, k2_tarski(C, D), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_tarski(C, D), B)))) ) ) )  =>  ( ~ (v2_struct_0(k1_fsm_2(A, B, C, D, E)))  &  (v6_fsm_2(k1_fsm_2(A, B, C, D, E), A, B) & l2_fsm_2(k1_fsm_2(A, B, C, D, E), A, B)) ) ) ) ).
fof(dt_k2_fsm_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v2_struct_0(C))  &  (v1_fsm_2(C, A) &  (v5_fsm_2(C, A) & l2_fsm_2(C, A, B)) ) )  & m1_subset_1(D, A)) ) )  => m1_subset_1(k2_fsm_2(A, B, C, D), B)) ) ).
fof(fc1_fsm_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k9_flang_1(A))) ) ) ).
fof(fc2_fsm_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) &  ( ~ (v2_struct_0(C))  & l1_rewrite3(C, B)) ) )  =>  ( ~ (v2_struct_0(k1_fsm_3(A, B, C)))  &  (v1_rewrite3(k1_fsm_3(A, B, C), k9_flang_1(A)) & v2_rewrite3(k1_fsm_3(A, B, C), A, k9_flang_1(A))) ) ) ) ).
fof(fc3_fsm_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) &  ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) & l1_rewrite3(C, B)) ) ) )  =>  (v8_struct_0(k1_fsm_3(A, B, C)) & v1_rewrite3(k1_fsm_3(A, B, C), k9_flang_1(A))) ) ) ).
fof(rc1_fsm_3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))))  =>  (? [C] :  (l1_fsm_3(C, A, B) & v1_fsm_3(C, A, B)) ) ) ) ).
fof(rc2_fsm_3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))))  =>  (? [C] :  (l1_fsm_3(C, A, B) &  ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) &  (v1_fsm_3(C, A, B) & v2_fsm_3(C, A, B)) ) ) ) ) ) ) ).
fof(fc4_fsm_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) &  ( ~ (v2_struct_0(C))  & l1_fsm_3(C, A, B)) ) )  =>  ( ~ (v2_struct_0(g1_rewrite3(B, u1_struct_0(C), u1_rewrite3(B, C))))  & v1_rewrite3(g1_rewrite3(B, u1_struct_0(C), u1_rewrite3(B, C)), B)) ) ) ).
fof(fc5_fsm_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) &  ( ~ (v2_struct_0(C))  & l1_fsm_3(C, A, B)) ) )  =>  ( ~ (v2_struct_0(k2_fsm_3(A, B, C)))  &  (v1_fsm_3(k2_fsm_3(A, B, C), A, k9_flang_1(A)) & v2_fsm_3(k2_fsm_3(A, B, C), A, k9_flang_1(A))) ) ) ) ).
fof(fc6_fsm_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) &  ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) & l1_fsm_3(C, A, B)) ) ) )  =>  (v8_struct_0(k2_fsm_3(A, B, C)) & v1_fsm_3(k2_fsm_3(A, B, C), A, k9_flang_1(A))) ) ) ).
fof(rc3_fsm_3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))))  =>  (? [C] :  (l2_fsm_3(C, A, B) & v3_fsm_3(C, A, B)) ) ) ) ).
fof(rc4_fsm_3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))))  =>  (? [C] :  (l2_fsm_3(C, A, B) &  ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) &  (v3_fsm_3(C, A, B) & v4_fsm_3(C, A, B)) ) ) ) ) ) ) ).
fof(fc7_fsm_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) &  ( ~ (v2_struct_0(C))  & l2_fsm_3(C, A, B)) ) )  =>  ( ~ (v2_struct_0(g1_rewrite3(B, u1_struct_0(C), u1_rewrite3(B, C))))  & v1_rewrite3(g1_rewrite3(B, u1_struct_0(C), u1_rewrite3(B, C)), B)) ) ) ).
fof(fc8_fsm_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) &  ( ~ (v2_struct_0(C))  & l2_fsm_3(C, A, B)) ) )  =>  ( ~ (v2_struct_0(g1_fsm_3(A, B, u1_struct_0(C), u1_rewrite3(B, C), u1_fsm_3(A, B, C))))  & v1_fsm_3(g1_fsm_3(A, B, u1_struct_0(C), u1_rewrite3(B, C), u1_fsm_3(A, B, C)), A, B)) ) ) ).
fof(fc9_fsm_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) &  ( ~ (v2_struct_0(C))  & l2_fsm_3(C, A, B)) ) )  =>  ( ~ (v2_struct_0(k4_fsm_3(A, B, C)))  &  (v3_fsm_3(k4_fsm_3(A, B, C), A, k9_flang_1(A)) & v4_fsm_3(k4_fsm_3(A, B, C), A, k9_flang_1(A))) ) ) ) ).
fof(fc10_fsm_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) &  ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) & l2_fsm_3(C, A, B)) ) ) )  =>  (v8_struct_0(k4_fsm_3(A, B, C)) & v3_fsm_3(k4_fsm_3(A, B, C), A, k9_flang_1(A))) ) ) ).
fof(t1_fsm_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(k2_xcmplx_0(B, C), A) => r1_xxreal_0(B, A)) ) ) ) ) ) ) ).
fof(t2_fsm_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( (k7_finseq_1(A, B)=A | k7_finseq_1(B, A)=A)  => B=k1_xboole_0) ) ) ) ) ).
fof(t3_fsm_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ( (r2_tarski(A, k4_finseq_1(B)) & k2_xcmplx_0(k3_finseq_1(B), 1)=k3_finseq_1(C))  => r2_tarski(k2_xcmplx_0(A, 1), k4_finseq_1(C))) ) ) ) ) ) ) ).
fof(t4_fsm_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k8_afinsq_1(A)) =>  ~ ( (k1_afinsq_1(B)=1 &  (! [C] :  (m1_subset_1(C, A) =>  ~ ( (k3_flang_1(A, C)=B & C=k1_funct_1(B, k5_numbers)) ) ) ) ) ) ) ) ) ) ).
fof(t5_fsm_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k8_afinsq_1(A)) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (C=k5_numbers)  &  (r1_xxreal_0(k1_afinsq_1(B), k2_xcmplx_0(C, 1)) &  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(A)) =>  ~ ( (r1_xxreal_0(k1_afinsq_1(D), C) &  (r1_xxreal_0(k1_afinsq_1(E), C) & B=k1_flang_1(A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_fsm_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v5_ordinal1(D) &  (v1_funct_1(D) & v1_finset_1(D)) ) )  =>  (k1_ordinal4(k5_afinsq_1(A), C)=k1_ordinal4(k5_afinsq_1(B), D) =>  (A=B & C=D) ) ) ) ) ) ) ) ).
fof(t7_fsm_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k8_afinsq_1(A)) =>  ~ ( ( ~ (r1_xxreal_0(k1_afinsq_1(B), k5_numbers))  &  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  ~ (B=k1_flang_1(A, k3_flang_1(A, C), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_fsm_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (r2_tarski(k2_flang_1(A), k9_flang_1(A))) ) ) ).
fof(t9_fsm_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k8_afinsq_1(A)) =>  (r2_tarski(B, k9_flang_1(A)) <=> k1_afinsq_1(B)=1) ) ) ) ) ).
fof(t10_fsm_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k8_afinsq_1(A)) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  ( (r2_tarski(B, k9_flang_1(A)) & r2_tarski(C, k9_flang_1(A)))  =>  (B=C |  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  ( ~ (k1_flang_1(A, B, D)=C)  &  ~ (k1_flang_1(A, D, B)=C) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_fsm_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (l1_rewrite3(B, k9_flang_1(A)) =>  ( (v1_relat_1(u1_rewrite3(k9_flang_1(A), B)) & v1_funct_1(u1_rewrite3(k9_flang_1(A), B)))  => v2_rewrite3(B, A, k9_flang_1(A))) ) ) ) ) ).
fof(d1_fsm_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_rewrite3(C, B))  =>  (! [D] :  ( (v1_rewrite3(D, k9_flang_1(A)) & l1_rewrite3(D, k9_flang_1(A)))  =>  (D=k1_fsm_3(A, B, C) <=>  (u1_struct_0(D)=k1_zfmisc_1(u1_struct_0(C)) &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(C))) =>  (! [F] :  (m1_subset_1(F, k8_afinsq_1(A)) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(C))) =>  (r2_tarski(k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(C)), k8_afinsq_1(A)), k1_zfmisc_1(u1_struct_0(C)), k1_domain_1(k1_zfmisc_1(u1_struct_0(C)), k8_afinsq_1(A), E, F), G), u1_rewrite3(k9_flang_1(A), D)) <=>  (k1_afinsq_1(F)=1 & G=k3_rewrite3(A, B, C, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_fsm_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, C) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  & l1_rewrite3(F, E))  =>  (r3_rewrite3(C, k9_flang_1(C), k1_fsm_3(C, E, F), A, k3_flang_1(C, D), B, k2_flang_1(C)) => r2_rewrite3(C, k9_flang_1(C), k1_fsm_3(C, E, F), A, k3_flang_1(C, D), B, k2_flang_1(C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_fsm_3, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(B)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k8_afinsq_1(B))) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  & l1_rewrite3(E, D))  =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(E))) =>  (k1_afinsq_1(C)=1 =>  (A=k3_rewrite3(B, D, E, C, F) <=> r4_rewrite3(B, k9_flang_1(B), k1_fsm_3(B, D, E), F, C, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_fsm_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (l1_fsm_3(C, A, B) =>  (v2_fsm_3(C, A, B) <=>  (v2_rewrite3(g1_rewrite3(B, u1_struct_0(C), u1_rewrite3(B, C)), A, B) & k1_card_1(u1_fsm_3(A, B, C))=1) ) ) ) ) ) ) ) ).
fof(d3_fsm_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_fsm_3(C, A, B))  =>  (! [D] :  ( (v1_fsm_3(D, A, k9_flang_1(A)) & l1_fsm_3(D, A, k9_flang_1(A)))  =>  (D=k2_fsm_3(A, B, C) <=>  (g1_rewrite3(k9_flang_1(A), u1_struct_0(D), u1_rewrite3(k9_flang_1(A), D))=k1_fsm_3(A, B, g1_rewrite3(B, u1_struct_0(C), u1_rewrite3(B, C))) & u1_fsm_3(A, k9_flang_1(A), D)=k6_domain_1(k1_zfmisc_1(u1_struct_0(C)), k3_rewrite3(A, B, C, k2_flang_1(A), u1_fsm_3(A, B, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t14_fsm_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_fsm_3(C, A, B))  => u1_struct_0(k2_fsm_3(A, B, C))=k1_zfmisc_1(u1_struct_0(C))) ) ) ) ) ) ).
fof(t15_fsm_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k8_afinsq_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l1_fsm_3(D, A, C))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(D))) =>  (r2_tarski(B, k3_fsm_3(A, C, D, E)) <=>  ~ (r1_xboole_0(E, k3_rewrite3(A, C, D, B, u1_fsm_3(A, C, D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_fsm_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (l2_fsm_3(C, A, B) =>  (v4_fsm_3(C, A, B) <=> v2_fsm_3(g1_fsm_3(A, B, u1_struct_0(C), u1_rewrite3(B, C), u1_fsm_3(A, B, C)), A, B)) ) ) ) ) ) ) ).
fof(t16_fsm_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_3(C, A, B))  => u1_struct_0(k4_fsm_3(A, B, C))=k1_zfmisc_1(u1_struct_0(C))) ) ) ) ) ) ).
fof(t17_fsm_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k8_afinsq_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l2_fsm_3(D, A, C))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(D))) =>  (r2_tarski(B, k5_fsm_3(A, C, D, E)) <=>  ~ (r1_xboole_0(k3_rewrite3(A, C, D, B, E), u2_fsm_3(A, C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_fsm_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k8_afinsq_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l2_fsm_3(D, A, C))  =>  (r2_tarski(B, k6_fsm_3(A, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(D)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(D)) &  (r2_tarski(E, u1_fsm_3(A, C, D)) &  (r2_tarski(F, u2_fsm_3(A, C, D)) & r4_rewrite3(A, C, D, E, B, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_fsm_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k8_afinsq_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l2_fsm_3(D, A, C))  =>  (r2_tarski(B, k6_fsm_3(A, C, D)) <=>  ~ (r1_xboole_0(k3_rewrite3(A, C, D, B, u1_fsm_3(A, C, D)), u2_fsm_3(A, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t20_fsm_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_3(C, A, B))  => k6_fsm_3(A, B, C)=k3_fsm_3(A, B, C, u2_fsm_3(A, B, C))) ) ) ) ) ) ).
fof(t21_fsm_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_3(C, A, B))  => k6_fsm_3(A, B, C)=k5_fsm_3(A, B, C, u1_fsm_3(A, B, C))) ) ) ) ) ) ).
fof(t22_fsm_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l1_rewrite3(D, k4_subset_1(k3_catalan2(A), k9_flang_1(A), k4_flang_1(A, k2_flang_1(A)))))  =>  (! [E] :  (m1_rewrite1(E, k1_rewrite3(A, k4_subset_1(k3_catalan2(A), k9_flang_1(A), k4_flang_1(A, k2_flang_1(A))), D)) =>  ~ ( (k2_xtuple_0(k1_funct_1(E, 1))=k1_flang_1(A, k3_flang_1(A, B), C) &  (k2_xtuple_0(k1_funct_1(E, k3_finseq_1(E)))=k2_flang_1(A) &  ( ~ (k2_xtuple_0(k1_funct_1(E, 2))=k1_flang_1(A, k3_flang_1(A, B), C))  &  ~ (k2_xtuple_0(k1_funct_1(E, 2))=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_fsm_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k8_afinsq_1(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_rewrite3(C, k4_subset_1(k3_catalan2(A), k9_flang_1(A), k4_flang_1(A, k2_flang_1(A)))))  =>  (! [D] :  (m1_rewrite1(D, k1_rewrite3(A, k4_subset_1(k3_catalan2(A), k9_flang_1(A), k4_flang_1(A, k2_flang_1(A))), C)) =>  ~ ( (k2_xtuple_0(k1_funct_1(D, 1))=B &  (k2_xtuple_0(k1_funct_1(D, k3_finseq_1(D)))=k2_flang_1(A) & r1_xxreal_0(k3_finseq_1(D), k1_afinsq_1(B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_fsm_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k8_afinsq_1(A)) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l1_rewrite3(D, k4_subset_1(k3_catalan2(A), k9_flang_1(A), k4_flang_1(A, k2_flang_1(A)))))  =>  (! [E] :  (m1_rewrite1(E, k1_rewrite3(A, k4_subset_1(k3_catalan2(A), k9_flang_1(A), k4_flang_1(A, k2_flang_1(A))), D)) =>  ~ ( (k2_xtuple_0(k1_funct_1(E, 1))=k1_flang_1(A, B, C) &  (k2_xtuple_0(k1_funct_1(E, k3_finseq_1(E)))=k2_flang_1(A) &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r2_tarski(F, k4_finseq_1(E)) & k2_xtuple_0(k1_funct_1(E, F))=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_fsm_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k8_afinsq_1(A)) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  ( ( (? [E] :  (m1_subset_1(E, k8_afinsq_1(A)) & k1_flang_1(A, E, C)=B) )  =>  (D=k7_fsm_3(A, B, C) <=>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(A)) =>  (k1_flang_1(A, E, C)=B => D=E) ) ) ) )  &  ( (! [E] :  (m1_subset_1(E, k8_afinsq_1(A)) =>  ~ (k1_flang_1(A, E, C)=B) ) )  =>  (D=k7_fsm_3(A, B, C) <=> D=B) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_fsm_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(C)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(C)) =>  (! [F] :  (m1_subset_1(F, k8_afinsq_1(C)) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_rewrite3(G, k4_subset_1(k3_catalan2(C), k9_flang_1(C), k4_flang_1(C, k2_flang_1(C)))))  =>  (! [H] :  (m1_rewrite1(H, k1_rewrite3(C, k4_subset_1(k3_catalan2(C), k9_flang_1(C), k4_flang_1(C, k2_flang_1(C))), G)) =>  ~ ( (k1_funct_1(H, 1)=k4_tarski(A, k1_flang_1(C, D, F)) &  (k1_funct_1(H, k3_finseq_1(H))=k4_tarski(B, k1_flang_1(C, E, F)) &  (! [I] :  (m1_rewrite1(I, k1_rewrite3(C, k4_subset_1(k3_catalan2(C), k9_flang_1(C), k4_flang_1(C, k2_flang_1(C))), G)) =>  ~ ( (k1_funct_1(I, 1)=k4_tarski(A, D) & k1_funct_1(I, k3_finseq_1(I))=k4_tarski(B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_fsm_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(C)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(C)) =>  (! [F] :  (m1_subset_1(F, k8_afinsq_1(C)) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_rewrite3(G, k4_subset_1(k3_catalan2(C), k9_flang_1(C), k4_flang_1(C, k2_flang_1(C)))))  =>  (r1_rewrite1(k1_rewrite3(C, k4_subset_1(k3_catalan2(C), k9_flang_1(C), k4_flang_1(C, k2_flang_1(C))), G), k4_tarski(A, k1_flang_1(C, D, F)), k4_tarski(B, k1_flang_1(C, E, F))) => r1_rewrite1(k1_rewrite3(C, k4_subset_1(k3_catalan2(C), k9_flang_1(C), k4_flang_1(C, k2_flang_1(C))), G), k4_tarski(A, D), k4_tarski(B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_fsm_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(C)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(C)) =>  (! [F] :  (m1_subset_1(F, k8_afinsq_1(C)) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_rewrite3(G, k4_subset_1(k3_catalan2(C), k9_flang_1(C), k4_flang_1(C, k2_flang_1(C)))))  =>  (r3_rewrite3(C, k4_subset_1(k3_catalan2(C), k9_flang_1(C), k4_flang_1(C, k2_flang_1(C))), G, A, k1_flang_1(C, D, F), B, k1_flang_1(C, E, F)) => r3_rewrite3(C, k4_subset_1(k3_catalan2(C), k9_flang_1(C), k4_flang_1(C, k2_flang_1(C))), G, A, D, B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_fsm_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k8_afinsq_1(A)) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l1_rewrite3(D, k4_subset_1(k3_catalan2(A), k9_flang_1(A), k4_flang_1(A, k2_flang_1(A)))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(D)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(D)) =>  ~ ( (r4_rewrite3(A, k4_subset_1(k3_catalan2(A), k9_flang_1(A), k4_flang_1(A, k2_flang_1(A))), D, E, k1_flang_1(A, B, C), F) &  (! [G] :  (m1_subset_1(G, u1_struct_0(D)) =>  ~ ( (r4_rewrite3(A, k4_subset_1(k3_catalan2(A), k9_flang_1(A), k4_flang_1(A, k2_flang_1(A))), D, E, B, G) & r4_rewrite3(A, k4_subset_1(k3_catalan2(A), k9_flang_1(A), k4_flang_1(A, k2_flang_1(A))), D, G, C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_fsm_3, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(B)) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(B)) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  & l1_rewrite3(E, k4_subset_1(k3_catalan2(B), k9_flang_1(B), k4_flang_1(B, k2_flang_1(B)))))  => k3_rewrite3(B, k4_subset_1(k3_catalan2(B), k9_flang_1(B), k4_flang_1(B, k2_flang_1(B))), E, k1_flang_1(B, D, C), A)=k3_rewrite3(B, k4_subset_1(k3_catalan2(B), k9_flang_1(B), k4_flang_1(B, k2_flang_1(B))), E, C, k3_rewrite3(B, k4_subset_1(k3_catalan2(B), k9_flang_1(B), k4_flang_1(B, k2_flang_1(B))), E, D, A))) ) ) ) ) ) ) ) ) ).
fof(t30_fsm_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_rewrite3(B, k4_subset_1(k3_catalan2(A), k9_flang_1(A), k4_flang_1(A, k2_flang_1(A)))))  =>  ( ~ (v2_struct_0(k1_fsm_3(A, k4_subset_1(k3_catalan2(A), k9_flang_1(A), k4_flang_1(A, k2_flang_1(A))), B)))  & l1_rewrite3(k1_fsm_3(A, k4_subset_1(k3_catalan2(A), k9_flang_1(A), k4_flang_1(A, k2_flang_1(A))), B), k4_subset_1(k3_catalan2(A), k9_flang_1(A), k4_flang_1(A, k2_flang_1(A))))) ) ) ) ) ).
fof(t31_fsm_3, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(B)) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(B)) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  & l1_rewrite3(E, k4_subset_1(k3_catalan2(B), k9_flang_1(B), k4_flang_1(B, k2_flang_1(B)))))  => k3_rewrite3(B, k9_flang_1(B), k1_fsm_3(B, k4_subset_1(k3_catalan2(B), k9_flang_1(B), k4_flang_1(B, k2_flang_1(B))), E), D, k6_domain_1(k1_zfmisc_1(u1_struct_0(E)), k3_rewrite3(B, k4_subset_1(k3_catalan2(B), k9_flang_1(B), k4_flang_1(B, k2_flang_1(B))), E, C, A)))=k6_domain_1(k1_zfmisc_1(u1_struct_0(E)), k3_rewrite3(B, k4_subset_1(k3_catalan2(B), k9_flang_1(B), k4_flang_1(B, k2_flang_1(B))), E, k1_flang_1(B, C, D), A))) ) ) ) ) ) ) ) ) ).
fof(t32_fsm_3, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(B)) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l1_fsm_3(D, B, k4_subset_1(k3_catalan2(B), k9_flang_1(B), k4_flang_1(B, k2_flang_1(B)))))  => k3_rewrite3(B, k9_flang_1(B), k2_fsm_3(B, k4_subset_1(k3_catalan2(B), k9_flang_1(B), k4_flang_1(B, k2_flang_1(B))), D), C, k6_domain_1(k1_zfmisc_1(u1_struct_0(D)), k3_rewrite3(B, k4_subset_1(k3_catalan2(B), k9_flang_1(B), k4_flang_1(B, k2_flang_1(B))), D, k2_flang_1(B), A)))=k6_domain_1(k1_zfmisc_1(u1_struct_0(D)), k3_rewrite3(B, k4_subset_1(k3_catalan2(B), k9_flang_1(B), k4_flang_1(B, k2_flang_1(B))), D, C, A))) ) ) ) ) ) ) ).
fof(t33_fsm_3, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_3(C, B, k4_subset_1(k3_catalan2(B), k9_flang_1(B), k4_flang_1(B, k2_flang_1(B)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(C))) =>  ( (r2_tarski(A, u2_fsm_3(B, k4_subset_1(k3_catalan2(B), k9_flang_1(B), k4_flang_1(B, k2_flang_1(B))), C)) & r2_tarski(A, D))  => r2_tarski(D, u2_fsm_3(B, k9_flang_1(B), k4_fsm_3(B, k4_subset_1(k3_catalan2(B), k9_flang_1(B), k4_flang_1(B, k2_flang_1(B))), C)))) ) ) ) ) ) ) ) ).
fof(t34_fsm_3, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_3(C, B, k4_subset_1(k3_catalan2(B), k9_flang_1(B), k4_flang_1(B, k2_flang_1(B)))))  =>  ~ ( (r2_tarski(A, u2_fsm_3(B, k9_flang_1(B), k4_fsm_3(B, k4_subset_1(k3_catalan2(B), k9_flang_1(B), k4_flang_1(B, k2_flang_1(B))), C))) & r1_xboole_0(A, u2_fsm_3(B, k4_subset_1(k3_catalan2(B), k9_flang_1(B), k4_flang_1(B, k2_flang_1(B))), C))) ) ) ) ) ) ) ).
fof(t35_fsm_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_fsm_3(B, A, k4_subset_1(k3_catalan2(A), k9_flang_1(A), k4_flang_1(A, k2_flang_1(A)))))  => u1_fsm_3(A, k9_flang_1(A), k4_fsm_3(A, k4_subset_1(k3_catalan2(A), k9_flang_1(A), k4_flang_1(A, k2_flang_1(A))), B))=k6_domain_1(k1_zfmisc_1(u1_struct_0(B)), k3_rewrite3(A, k4_subset_1(k3_catalan2(A), k9_flang_1(A), k4_flang_1(A, k2_flang_1(A))), B, k2_flang_1(A), u1_fsm_3(A, k4_subset_1(k3_catalan2(A), k9_flang_1(A), k4_flang_1(A, k2_flang_1(A))), B)))) ) ) ) ).
fof(t36_fsm_3, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(B)) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l2_fsm_3(D, B, k4_subset_1(k3_catalan2(B), k9_flang_1(B), k4_flang_1(B, k2_flang_1(B)))))  => k3_rewrite3(B, k9_flang_1(B), k4_fsm_3(B, k4_subset_1(k3_catalan2(B), k9_flang_1(B), k4_flang_1(B, k2_flang_1(B))), D), C, k6_domain_1(k1_zfmisc_1(u1_struct_0(D)), k3_rewrite3(B, k4_subset_1(k3_catalan2(B), k9_flang_1(B), k4_flang_1(B, k2_flang_1(B))), D, k2_flang_1(B), A)))=k6_domain_1(k1_zfmisc_1(u1_struct_0(D)), k3_rewrite3(B, k4_subset_1(k3_catalan2(B), k9_flang_1(B), k4_flang_1(B, k2_flang_1(B))), D, C, A))) ) ) ) ) ) ) ).
fof(t37_fsm_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k8_afinsq_1(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_3(C, A, k4_subset_1(k3_catalan2(A), k9_flang_1(A), k4_flang_1(A, k2_flang_1(A)))))  => k3_rewrite3(A, k9_flang_1(A), k4_fsm_3(A, k4_subset_1(k3_catalan2(A), k9_flang_1(A), k4_flang_1(A, k2_flang_1(A))), C), B, u1_fsm_3(A, k9_flang_1(A), k4_fsm_3(A, k4_subset_1(k3_catalan2(A), k9_flang_1(A), k4_flang_1(A, k2_flang_1(A))), C)))=k6_domain_1(k1_zfmisc_1(u1_struct_0(C)), k3_rewrite3(A, k4_subset_1(k3_catalan2(A), k9_flang_1(A), k4_flang_1(A, k2_flang_1(A))), C, B, u1_fsm_3(A, k4_subset_1(k3_catalan2(A), k9_flang_1(A), k4_flang_1(A, k2_flang_1(A))), C)))) ) ) ) ) ) ).
fof(t38_fsm_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_fsm_3(B, A, k4_subset_1(k3_catalan2(A), k9_flang_1(A), k4_flang_1(A, k2_flang_1(A)))))  => k6_fsm_3(A, k4_subset_1(k3_catalan2(A), k9_flang_1(A), k4_flang_1(A, k2_flang_1(A))), B)=k6_fsm_3(A, k9_flang_1(A), k4_fsm_3(A, k4_subset_1(k3_catalan2(A), k9_flang_1(A), k4_flang_1(A, k2_flang_1(A))), B))) ) ) ) ).
fof(t39_fsm_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_fsm_3(B, A, k4_subset_1(k3_catalan2(A), k9_flang_1(A), k4_flang_1(A, k2_flang_1(A)))))  =>  (? [C] :  ( ( ~ (v2_struct_0(C))  &  (v4_fsm_3(C, A, k9_flang_1(A)) & l2_fsm_3(C, A, k9_flang_1(A))) )  & k6_fsm_3(A, k4_subset_1(k3_catalan2(A), k9_flang_1(A), k4_flang_1(A, k2_flang_1(A))), B)=k6_fsm_3(A, k9_flang_1(A), C)) ) ) ) ) ) ).
fof(t40_fsm_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) & l2_fsm_3(B, A, k4_subset_1(k3_catalan2(A), k9_flang_1(A), k4_flang_1(A, k2_flang_1(A))))) )  =>  (? [C] :  ( ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) &  (v4_fsm_3(C, A, k9_flang_1(A)) & l2_fsm_3(C, A, k9_flang_1(A))) ) )  & k6_fsm_3(A, k4_subset_1(k3_catalan2(A), k9_flang_1(A), k4_flang_1(A, k2_flang_1(A))), B)=k6_fsm_3(A, k9_flang_1(A), C)) ) ) ) ) ) ).
fof(dt_k1_fsm_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) &  ( ~ (v2_struct_0(C))  & l1_rewrite3(C, B)) ) )  =>  (v1_rewrite3(k1_fsm_3(A, B, C), k9_flang_1(A)) & l1_rewrite3(k1_fsm_3(A, B, C), k9_flang_1(A))) ) ) ).
fof(abstractness_v1_fsm_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) & l1_fsm_3(C, A, B)) )  =>  (v1_fsm_3(C, A, B) => C=g1_fsm_3(A, B, u1_struct_0(C), u1_rewrite3(B, C), u1_fsm_3(A, B, C))) ) ) ).
fof(dt_l1_fsm_3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))))  =>  (! [C] :  (l1_fsm_3(C, A, B) => l1_rewrite3(C, B)) ) ) ) ).
fof(existence_l1_fsm_3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))))  =>  (? [C] : l1_fsm_3(C, A, B)) ) ) ).
fof(dt_g1_fsm_3, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) &  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, B), C))) & m1_subset_1(E, k1_zfmisc_1(C))) ) )  =>  (v1_fsm_3(g1_fsm_3(A, B, C, D, E), A, B) & l1_fsm_3(g1_fsm_3(A, B, C, D, E), A, B)) ) ) ).
fof(free_g1_fsm_3, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) &  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, B), C))) & m1_subset_1(E, k1_zfmisc_1(C))) ) )  =>  (! [F, G, H, I, J] :  (g1_fsm_3(A, B, C, D, E)=g1_fsm_3(F, G, H, I, J) =>  (A=F &  (B=G &  (C=H &  (D=I & E=J) ) ) ) ) ) ) ) ).
fof(dt_u1_fsm_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) & l1_fsm_3(C, A, B)) )  => m1_subset_1(u1_fsm_3(A, B, C), k1_zfmisc_1(u1_struct_0(C)))) ) ).
fof(dt_k2_fsm_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) &  ( ~ (v2_struct_0(C))  & l1_fsm_3(C, A, B)) ) )  =>  (v1_fsm_3(k2_fsm_3(A, B, C), A, k9_flang_1(A)) & l1_fsm_3(k2_fsm_3(A, B, C), A, k9_flang_1(A))) ) ) ).
fof(dt_k3_fsm_3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) &  ( ( ~ (v2_struct_0(C))  & l1_fsm_3(C, A, B))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(C)))) ) )  => m1_subset_1(k3_fsm_3(A, B, C, D), k1_zfmisc_1(k8_afinsq_1(A)))) ) ).
fof(abstractness_v3_fsm_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) & l2_fsm_3(C, A, B)) )  =>  (v3_fsm_3(C, A, B) => C=g2_fsm_3(A, B, u1_struct_0(C), u1_rewrite3(B, C), u1_fsm_3(A, B, C), u2_fsm_3(A, B, C))) ) ) ).
fof(dt_l2_fsm_3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))))  =>  (! [C] :  (l2_fsm_3(C, A, B) => l1_fsm_3(C, A, B)) ) ) ) ).
fof(existence_l2_fsm_3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))))  =>  (? [C] : l2_fsm_3(C, A, B)) ) ) ).
fof(dt_g2_fsm_3, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) &  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, B), C))) &  (m1_subset_1(E, k1_zfmisc_1(C)) & m1_subset_1(F, k1_zfmisc_1(C))) ) ) )  =>  (v3_fsm_3(g2_fsm_3(A, B, C, D, E, F), A, B) & l2_fsm_3(g2_fsm_3(A, B, C, D, E, F), A, B)) ) ) ).
fof(free_g2_fsm_3, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) &  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, B), C))) &  (m1_subset_1(E, k1_zfmisc_1(C)) & m1_subset_1(F, k1_zfmisc_1(C))) ) ) )  =>  (! [G, H, I, J, K, L] :  (g2_fsm_3(A, B, C, D, E, F)=g2_fsm_3(G, H, I, J, K, L) =>  (A=G &  (B=H &  (C=I &  (D=J &  (E=K & F=L) ) ) ) ) ) ) ) ) ).
fof(dt_u2_fsm_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) & l2_fsm_3(C, A, B)) )  => m1_subset_1(u2_fsm_3(A, B, C), k1_zfmisc_1(u1_struct_0(C)))) ) ).
fof(dt_k4_fsm_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) &  ( ~ (v2_struct_0(C))  & l2_fsm_3(C, A, B)) ) )  =>  (v3_fsm_3(k4_fsm_3(A, B, C), A, k9_flang_1(A)) & l2_fsm_3(k4_fsm_3(A, B, C), A, k9_flang_1(A))) ) ) ).
fof(dt_k5_fsm_3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) &  ( ( ~ (v2_struct_0(C))  & l2_fsm_3(C, A, B))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(C)))) ) )  => m1_subset_1(k5_fsm_3(A, B, C, D), k1_zfmisc_1(k8_afinsq_1(A)))) ) ).
fof(dt_k6_fsm_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) &  ( ~ (v2_struct_0(C))  & l2_fsm_3(C, A, B)) ) )  => m1_subset_1(k6_fsm_3(A, B, C), k1_zfmisc_1(k8_afinsq_1(A)))) ) ).
fof(dt_k7_fsm_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k8_afinsq_1(A)) & m1_subset_1(C, k8_afinsq_1(A))) )  => m1_subset_1(k7_fsm_3(A, B, C), k8_afinsq_1(A))) ) ).
fof(d4_fsm_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_fsm_3(C, A, B))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(C))) => k3_fsm_3(A, B, C, D)=a_4_0_fsm_3(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(d6_fsm_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_3(C, A, B))  =>  (! [D] :  ( (v3_fsm_3(D, A, k9_flang_1(A)) & l2_fsm_3(D, A, k9_flang_1(A)))  =>  (D=k4_fsm_3(A, B, C) <=>  (g1_fsm_3(A, k9_flang_1(A), u1_struct_0(D), u1_rewrite3(k9_flang_1(A), D), u1_fsm_3(A, k9_flang_1(A), D))=k2_fsm_3(A, B, g1_fsm_3(A, B, u1_struct_0(C), u1_rewrite3(B, C), u1_fsm_3(A, B, C))) & u2_fsm_3(A, k9_flang_1(A), D)=a_4_1_fsm_3(A, B, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(d7_fsm_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_3(C, A, B))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(C))) => k5_fsm_3(A, B, C, D)=a_4_2_fsm_3(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(d8_fsm_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_fsm_3(C, A, B))  => k6_fsm_3(A, B, C)=a_3_0_fsm_3(A, B, C)) ) ) ) ) ) ).
fof(fraenkel_a_4_0_fsm_3, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(B))) &  ( ( ~ (v2_struct_0(D))  & l1_fsm_3(D, B, C))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(D)))) ) )  =>  (r2_hidden(A, a_4_0_fsm_3(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, k8_afinsq_1(B)) &  (A=F &  ~ (r1_xboole_0(E, k3_rewrite3(B, C, D, F, u1_fsm_3(B, C, D)))) ) ) ) ) ) ) ).
fof(fraenkel_a_4_1_fsm_3, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(B))) &  ( ( ~ (v2_struct_0(D))  & l2_fsm_3(D, B, C))  &  (v3_fsm_3(E, B, k9_flang_1(B)) & l2_fsm_3(E, B, k9_flang_1(B))) ) ) )  =>  (r2_hidden(A, a_4_1_fsm_3(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(E)) &  (A=F &  ~ (r1_xboole_0(F, u2_fsm_3(B, C, D))) ) ) ) ) ) ) ).
fof(fraenkel_a_4_2_fsm_3, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(B))) &  ( ( ~ (v2_struct_0(D))  & l2_fsm_3(D, B, C))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(D)))) ) )  =>  (r2_hidden(A, a_4_2_fsm_3(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, k8_afinsq_1(B)) &  (A=F &  ~ (r1_xboole_0(k3_rewrite3(B, C, D, F, E), u2_fsm_3(B, C, D))) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_fsm_3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(B))) &  ( ~ (v2_struct_0(D))  & l2_fsm_3(D, B, C)) ) )  =>  (r2_hidden(A, a_3_0_fsm_3(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k8_afinsq_1(B)) &  (A=E &  (? [F] :  (m1_subset_1(F, u1_struct_0(D)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(D)) &  (r2_tarski(F, u1_fsm_3(B, C, D)) &  (r2_tarski(G, u2_fsm_3(B, C, D)) & r4_rewrite3(B, C, D, F, E, G)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k1_ftacell1(A, B, C, D, E)=k2_circcomb(k13_gfacirc1(A, B, C), k13_gfacirc1(k12_gfacirc1(A, B, C), E, D))) ) ) ) ) ).
fof(d2_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k2_ftacell1(A, B, C, D, E)=k3_circcomb(k13_gfacirc1(A, B, C), k13_gfacirc1(k12_gfacirc1(A, B, C), E, D), k14_gfacirc1(A, B, C), k14_gfacirc1(k12_gfacirc1(A, B, C), E, D))) ) ) ) ) ).
fof(t1_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k3_msafree2(k1_ftacell1(A, B, C, D, E))=k2_xboole_0(k2_xboole_0(k2_xboole_0(k2_tarski(k4_tarski(k10_finseq_1(A, B), k1_facirc_1), k12_gfacirc1(A, B, C)), k2_enumset1(k4_tarski(k10_finseq_1(A, B), k3_facirc_1), k4_tarski(k10_finseq_1(B, C), k3_facirc_1), k4_tarski(k10_finseq_1(C, A), k3_facirc_1), k9_gfacirc1(A, B, C))), k2_tarski(k4_tarski(k10_finseq_1(k12_gfacirc1(A, B, C), E), k1_facirc_1), k12_gfacirc1(k12_gfacirc1(A, B, C), E, D))), k2_enumset1(k4_tarski(k10_finseq_1(k12_gfacirc1(A, B, C), E), k3_facirc_1), k4_tarski(k10_finseq_1(E, D), k3_facirc_1), k4_tarski(k10_finseq_1(D, k12_gfacirc1(A, B, C)), k3_facirc_1), k9_gfacirc1(k12_gfacirc1(A, B, C), E, D)))) ) ) ) ) ).
fof(t2_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : v1_relat_1(k3_msafree2(k1_ftacell1(A, B, C, D, E)))) ) ) ) ) ).
fof(t3_ftacell1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  ( ~ (v1_xtuple_0(D))  =>  (! [E] :  ~ ( ( ~ (E=k4_tarski(k10_finseq_1(D, k12_gfacirc1(A, B, C)), k3_facirc_1))  &  ( ~ (r2_tarski(E, k3_msafree2(k13_gfacirc1(A, B, C))))  &  ~ (k2_msafree2(k1_ftacell1(A, B, C, D, E))=k3_enumset1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (r2_tarski(A, u1_struct_0(k1_ftacell1(A, B, C, D, E))) &  (r2_tarski(B, u1_struct_0(k1_ftacell1(A, B, C, D, E))) &  (r2_tarski(C, u1_struct_0(k1_ftacell1(A, B, C, D, E))) &  (r2_tarski(D, u1_struct_0(k1_ftacell1(A, B, C, D, E))) &  (r2_tarski(E, u1_struct_0(k1_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k1_facirc_1), u1_struct_0(k1_ftacell1(A, B, C, D, E))) &  (r2_tarski(k12_gfacirc1(A, B, C), u1_struct_0(k1_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k3_facirc_1), u1_struct_0(k1_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(B, C), k3_facirc_1), u1_struct_0(k1_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(C, A), k3_facirc_1), u1_struct_0(k1_ftacell1(A, B, C, D, E))) &  (r2_tarski(k9_gfacirc1(A, B, C), u1_struct_0(k1_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(k12_gfacirc1(A, B, C), E), k1_facirc_1), u1_struct_0(k1_ftacell1(A, B, C, D, E))) &  (r2_tarski(k12_gfacirc1(k12_gfacirc1(A, B, C), E, D), u1_struct_0(k1_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(k12_gfacirc1(A, B, C), E), k3_facirc_1), u1_struct_0(k1_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(E, D), k3_facirc_1), u1_struct_0(k1_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(D, k12_gfacirc1(A, B, C)), k3_facirc_1), u1_struct_0(k1_ftacell1(A, B, C, D, E))) & r2_tarski(k9_gfacirc1(k12_gfacirc1(A, B, C), E, D), u1_struct_0(k1_ftacell1(A, B, C, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k1_facirc_1), k3_msafree2(k1_ftacell1(A, B, C, D, E))) &  (r2_tarski(k12_gfacirc1(A, B, C), k3_msafree2(k1_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k3_facirc_1), k3_msafree2(k1_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(B, C), k3_facirc_1), k3_msafree2(k1_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(C, A), k3_facirc_1), k3_msafree2(k1_ftacell1(A, B, C, D, E))) &  (r2_tarski(k9_gfacirc1(A, B, C), k3_msafree2(k1_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(k12_gfacirc1(A, B, C), E), k1_facirc_1), k3_msafree2(k1_ftacell1(A, B, C, D, E))) &  (r2_tarski(k12_gfacirc1(k12_gfacirc1(A, B, C), E, D), k3_msafree2(k1_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(k12_gfacirc1(A, B, C), E), k3_facirc_1), k3_msafree2(k1_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(E, D), k3_facirc_1), k3_msafree2(k1_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(D, k12_gfacirc1(A, B, C)), k3_facirc_1), k3_msafree2(k1_ftacell1(A, B, C, D, E))) & r2_tarski(k9_gfacirc1(k12_gfacirc1(A, B, C), E, D), k3_msafree2(k1_ftacell1(A, B, C, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_ftacell1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  ( ~ (v1_xtuple_0(D))  =>  (! [E] :  ~ ( ( ~ (E=k4_tarski(k10_finseq_1(D, k12_gfacirc1(A, B, C)), k3_facirc_1))  &  ( ~ (r2_tarski(E, k3_msafree2(k13_gfacirc1(A, B, C))))  &  ~ ( (r2_tarski(A, k2_msafree2(k1_ftacell1(A, B, C, D, E))) &  (r2_tarski(B, k2_msafree2(k1_ftacell1(A, B, C, D, E))) &  (r2_tarski(C, k2_msafree2(k1_ftacell1(A, B, C, D, E))) &  (r2_tarski(D, k2_msafree2(k1_ftacell1(A, B, C, D, E))) & r2_tarski(E, k2_msafree2(k1_ftacell1(A, B, C, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k3_ftacell1(A, B, C, D, E)=k9_gfacirc1(A, B, C)) ) ) ) ) ).
fof(d4_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k4_ftacell1(A, B, C, D, E)=k12_gfacirc1(A, B, C)) ) ) ) ) ).
fof(d5_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k5_ftacell1(A, B, C, D, E)=k9_gfacirc1(k12_gfacirc1(A, B, C), E, D)) ) ) ) ) ).
fof(d6_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k6_ftacell1(A, B, C, D, E)=k12_gfacirc1(k12_gfacirc1(A, B, C), E, D)) ) ) ) ) ).
fof(t7_ftacell1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  (! [E] :  (! [F] :  (m1_subset_1(F, k4_card_3(u3_msualg_1(k1_ftacell1(A, B, C, D, E), k2_ftacell1(A, B, C, D, E)))) =>  (! [G] :  (m1_subset_1(G, k5_margrel1) =>  (! [H] :  (m1_subset_1(H, k5_margrel1) =>  (! [I] :  (m1_subset_1(I, k5_margrel1) =>  ( (G=k1_funct_1(F, A) &  (H=k1_funct_1(F, B) & I=k1_funct_1(F, C)) )  =>  (k1_funct_1(k5_facirc_1(k1_ftacell1(A, B, C, D, E), k2_ftacell1(A, B, C, D, E), F, 2), k3_ftacell1(A, B, C, D, E))=k1_binarith(k1_binarith(k9_margrel1(G, H), k9_margrel1(H, I)), k9_margrel1(I, G)) & k1_funct_1(k5_facirc_1(k1_ftacell1(A, B, C, D, E), k2_ftacell1(A, B, C, D, E), F, 2), k4_ftacell1(A, B, C, D, E))=k2_binarith(k2_binarith(G, H), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_ftacell1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  ( ~ (v1_xtuple_0(D))  =>  (! [E] :  ~ ( ( ~ (E=k4_tarski(k10_finseq_1(D, k12_gfacirc1(A, B, C)), k3_facirc_1))  &  ( ~ (r2_tarski(E, k3_msafree2(k13_gfacirc1(A, B, C))))  &  (? [F] :  (m1_subset_1(F, k4_card_3(u3_msualg_1(k1_ftacell1(A, B, C, D, E), k2_ftacell1(A, B, C, D, E)))) &  (? [G] :  (m1_subset_1(G, k5_margrel1) &  (? [H] :  (m1_subset_1(H, k5_margrel1) &  (? [I] :  (m1_subset_1(I, k5_margrel1) &  (? [J] :  (m1_subset_1(J, k5_margrel1) &  (? [K] :  (m1_subset_1(K, k5_margrel1) &  (G=k1_funct_1(F, A) &  (H=k1_funct_1(F, B) &  (I=k1_funct_1(F, C) &  (J=k1_funct_1(F, D) &  (K=k1_funct_1(F, E) &  ~ ( (k1_funct_1(k5_facirc_1(k1_ftacell1(A, B, C, D, E), k2_ftacell1(A, B, C, D, E), F, 2), k12_gfacirc1(A, B, C))=k2_binarith(k2_binarith(G, H), I) &  (k1_funct_1(k5_facirc_1(k1_ftacell1(A, B, C, D, E), k2_ftacell1(A, B, C, D, E), F, 2), A)=G &  (k1_funct_1(k5_facirc_1(k1_ftacell1(A, B, C, D, E), k2_ftacell1(A, B, C, D, E), F, 2), B)=H &  (k1_funct_1(k5_facirc_1(k1_ftacell1(A, B, C, D, E), k2_ftacell1(A, B, C, D, E), F, 2), C)=I &  (k1_funct_1(k5_facirc_1(k1_ftacell1(A, B, C, D, E), k2_ftacell1(A, B, C, D, E), F, 2), D)=J & k1_funct_1(k5_facirc_1(k1_ftacell1(A, B, C, D, E), k2_ftacell1(A, B, C, D, E), F, 2), E)=K) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_ftacell1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  ( ~ (v1_xtuple_0(D))  =>  (! [E] :  ~ ( ( ~ (E=k4_tarski(k10_finseq_1(D, k12_gfacirc1(A, B, C)), k3_facirc_1))  &  ( ~ (r2_tarski(E, k3_msafree2(k13_gfacirc1(A, B, C))))  &  (? [F] :  (m1_subset_1(F, k4_card_3(u3_msualg_1(k1_ftacell1(A, B, C, D, E), k2_ftacell1(A, B, C, D, E)))) &  (? [G] :  (m1_subset_1(G, k5_margrel1) &  (? [H] :  (m1_subset_1(H, k5_margrel1) &  (? [I] :  (m1_subset_1(I, k5_margrel1) &  (? [J] :  (m1_subset_1(J, k5_margrel1) &  (? [K] :  (m1_subset_1(K, k5_margrel1) &  (G=k1_funct_1(F, A) &  (H=k1_funct_1(F, B) &  (I=k1_funct_1(F, C) &  (J=k1_funct_1(F, D) &  (K=k1_funct_1(F, E) &  ~ ( (k1_funct_1(k5_facirc_1(k1_ftacell1(A, B, C, D, E), k2_ftacell1(A, B, C, D, E), F, 4), k5_ftacell1(A, B, C, D, E))=k1_binarith(k1_binarith(k9_margrel1(k2_binarith(k2_binarith(G, H), I), K), k9_margrel1(K, J)), k9_margrel1(J, k2_binarith(k2_binarith(G, H), I))) & k1_funct_1(k5_facirc_1(k1_ftacell1(A, B, C, D, E), k2_ftacell1(A, B, C, D, E), F, 4), k6_ftacell1(A, B, C, D, E))=k2_binarith(k2_binarith(k2_binarith(k2_binarith(G, H), I), J), K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_ftacell1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  ( ~ (v1_xtuple_0(D))  =>  (! [E] :  ( ~ (E=k4_tarski(k10_finseq_1(D, k12_gfacirc1(A, B, C)), k3_facirc_1))  =>  (! [F] :  (m1_subset_1(F, k4_card_3(u3_msualg_1(k1_ftacell1(A, B, C, D, E), k2_ftacell1(A, B, C, D, E)))) => v1_circuit2(k5_facirc_1(k1_ftacell1(A, B, C, D, E), k2_ftacell1(A, B, C, D, E), F, 4), k1_ftacell1(A, B, C, D, E), k2_ftacell1(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k7_ftacell1(A, B, C, D, E)=k2_circcomb(k25_gfacirc1(A, B, C), k37_gfacirc1(k24_gfacirc1(A, B, C), E, D))) ) ) ) ) ).
fof(d8_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k8_ftacell1(A, B, C, D, E)=k3_circcomb(k25_gfacirc1(A, B, C), k37_gfacirc1(k24_gfacirc1(A, B, C), E, D), k26_gfacirc1(A, B, C), k38_gfacirc1(k24_gfacirc1(A, B, C), E, D))) ) ) ) ) ).
fof(t11_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k3_msafree2(k7_ftacell1(A, B, C, D, E))=k2_xboole_0(k2_xboole_0(k2_xboole_0(k2_tarski(k4_tarski(k10_finseq_1(A, B), k4_gfacirc1), k24_gfacirc1(A, B, C)), k2_enumset1(k4_tarski(k10_finseq_1(A, B), k3_gfacirc1), k4_tarski(k10_finseq_1(B, C), k2_twoscomp), k4_tarski(k10_finseq_1(C, A), k3_facirc_1), k21_gfacirc1(A, B, C))), k2_tarski(k4_tarski(k10_finseq_1(k24_gfacirc1(A, B, C), E), k4_gfacirc1), k36_gfacirc1(k24_gfacirc1(A, B, C), E, D))), k2_enumset1(k4_tarski(k10_finseq_1(k24_gfacirc1(A, B, C), E), k2_twoscomp), k4_tarski(k10_finseq_1(E, D), k3_gfacirc1), k4_tarski(k10_finseq_1(D, k24_gfacirc1(A, B, C)), k6_twoscomp), k33_gfacirc1(k24_gfacirc1(A, B, C), E, D)))) ) ) ) ) ).
fof(t12_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : v1_relat_1(k3_msafree2(k7_ftacell1(A, B, C, D, E)))) ) ) ) ) ).
fof(t13_ftacell1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  ( ~ (v1_xtuple_0(D))  =>  (! [E] :  ~ ( ( ~ (E=k4_tarski(k10_finseq_1(D, k24_gfacirc1(A, B, C)), k6_twoscomp))  &  ( ~ (r2_tarski(E, k3_msafree2(k25_gfacirc1(A, B, C))))  &  ~ (k2_msafree2(k7_ftacell1(A, B, C, D, E))=k3_enumset1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (r2_tarski(A, u1_struct_0(k7_ftacell1(A, B, C, D, E))) &  (r2_tarski(B, u1_struct_0(k7_ftacell1(A, B, C, D, E))) &  (r2_tarski(C, u1_struct_0(k7_ftacell1(A, B, C, D, E))) &  (r2_tarski(D, u1_struct_0(k7_ftacell1(A, B, C, D, E))) &  (r2_tarski(E, u1_struct_0(k7_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k4_gfacirc1), u1_struct_0(k7_ftacell1(A, B, C, D, E))) &  (r2_tarski(k24_gfacirc1(A, B, C), u1_struct_0(k7_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k3_gfacirc1), u1_struct_0(k7_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(B, C), k2_twoscomp), u1_struct_0(k7_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(C, A), k3_facirc_1), u1_struct_0(k7_ftacell1(A, B, C, D, E))) &  (r2_tarski(k21_gfacirc1(A, B, C), u1_struct_0(k7_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(k24_gfacirc1(A, B, C), E), k4_gfacirc1), u1_struct_0(k7_ftacell1(A, B, C, D, E))) &  (r2_tarski(k36_gfacirc1(k24_gfacirc1(A, B, C), E, D), u1_struct_0(k7_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(k24_gfacirc1(A, B, C), E), k2_twoscomp), u1_struct_0(k7_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(E, D), k3_gfacirc1), u1_struct_0(k7_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(D, k24_gfacirc1(A, B, C)), k6_twoscomp), u1_struct_0(k7_ftacell1(A, B, C, D, E))) & r2_tarski(k33_gfacirc1(k24_gfacirc1(A, B, C), E, D), u1_struct_0(k7_ftacell1(A, B, C, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k4_gfacirc1), k3_msafree2(k7_ftacell1(A, B, C, D, E))) &  (r2_tarski(k24_gfacirc1(A, B, C), k3_msafree2(k7_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k3_gfacirc1), k3_msafree2(k7_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(B, C), k2_twoscomp), k3_msafree2(k7_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(C, A), k3_facirc_1), k3_msafree2(k7_ftacell1(A, B, C, D, E))) &  (r2_tarski(k21_gfacirc1(A, B, C), k3_msafree2(k7_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(k24_gfacirc1(A, B, C), E), k4_gfacirc1), k3_msafree2(k7_ftacell1(A, B, C, D, E))) &  (r2_tarski(k36_gfacirc1(k24_gfacirc1(A, B, C), E, D), k3_msafree2(k7_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(k24_gfacirc1(A, B, C), E), k2_twoscomp), k3_msafree2(k7_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(E, D), k3_gfacirc1), k3_msafree2(k7_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(D, k24_gfacirc1(A, B, C)), k6_twoscomp), k3_msafree2(k7_ftacell1(A, B, C, D, E))) & r2_tarski(k33_gfacirc1(k24_gfacirc1(A, B, C), E, D), k3_msafree2(k7_ftacell1(A, B, C, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_ftacell1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  ( ~ (v1_xtuple_0(D))  =>  (! [E] :  ~ ( ( ~ (E=k4_tarski(k10_finseq_1(D, k24_gfacirc1(A, B, C)), k6_twoscomp))  &  ( ~ (r2_tarski(E, k3_msafree2(k25_gfacirc1(A, B, C))))  &  ~ ( (r2_tarski(A, k2_msafree2(k7_ftacell1(A, B, C, D, E))) &  (r2_tarski(B, k2_msafree2(k7_ftacell1(A, B, C, D, E))) &  (r2_tarski(C, k2_msafree2(k7_ftacell1(A, B, C, D, E))) &  (r2_tarski(D, k2_msafree2(k7_ftacell1(A, B, C, D, E))) & r2_tarski(E, k2_msafree2(k7_ftacell1(A, B, C, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k9_ftacell1(A, B, C, D, E)=k21_gfacirc1(A, B, C)) ) ) ) ) ).
fof(d10_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k10_ftacell1(A, B, C, D, E)=k24_gfacirc1(A, B, C)) ) ) ) ) ).
fof(d11_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k11_ftacell1(A, B, C, D, E)=k33_gfacirc1(k24_gfacirc1(A, B, C), E, D)) ) ) ) ) ).
fof(d12_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k12_ftacell1(A, B, C, D, E)=k36_gfacirc1(k24_gfacirc1(A, B, C), E, D)) ) ) ) ) ).
fof(t17_ftacell1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  (! [E] :  (! [F] :  (m1_subset_1(F, k4_card_3(u3_msualg_1(k7_ftacell1(A, B, C, D, E), k8_ftacell1(A, B, C, D, E)))) =>  (! [G] :  (m1_subset_1(G, k5_margrel1) =>  (! [H] :  (m1_subset_1(H, k5_margrel1) =>  (! [I] :  (m1_subset_1(I, k5_margrel1) =>  ( (G=k1_funct_1(F, A) &  (H=k1_funct_1(F, B) & I=k1_funct_1(F, C)) )  =>  (k1_funct_1(k5_facirc_1(k7_ftacell1(A, B, C, D, E), k8_ftacell1(A, B, C, D, E), F, 2), k9_ftacell1(A, B, C, D, E))=k1_binarith(k1_binarith(k9_margrel1(G, k8_margrel1(H)), k9_margrel1(k8_margrel1(H), I)), k9_margrel1(I, G)) & k1_funct_1(k5_facirc_1(k7_ftacell1(A, B, C, D, E), k8_ftacell1(A, B, C, D, E), F, 2), k10_ftacell1(A, B, C, D, E))=k8_margrel1(k2_binarith(k2_binarith(G, k8_margrel1(H)), I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_ftacell1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  ( ~ (v1_xtuple_0(D))  =>  (! [E] :  ~ ( ( ~ (E=k4_tarski(k10_finseq_1(D, k24_gfacirc1(A, B, C)), k6_twoscomp))  &  ( ~ (r2_tarski(E, k3_msafree2(k25_gfacirc1(A, B, C))))  &  (? [F] :  (m1_subset_1(F, k4_card_3(u3_msualg_1(k7_ftacell1(A, B, C, D, E), k8_ftacell1(A, B, C, D, E)))) &  (? [G] :  (m1_subset_1(G, k5_margrel1) &  (? [H] :  (m1_subset_1(H, k5_margrel1) &  (? [I] :  (m1_subset_1(I, k5_margrel1) &  (? [J] :  (m1_subset_1(J, k5_margrel1) &  (? [K] :  (m1_subset_1(K, k5_margrel1) &  (G=k1_funct_1(F, A) &  (H=k1_funct_1(F, B) &  (I=k1_funct_1(F, C) &  (J=k1_funct_1(F, D) &  (K=k1_funct_1(F, E) &  ~ ( (k1_funct_1(k5_facirc_1(k7_ftacell1(A, B, C, D, E), k8_ftacell1(A, B, C, D, E), F, 2), k24_gfacirc1(A, B, C))=k8_margrel1(k2_binarith(k2_binarith(G, k8_margrel1(H)), I)) &  (k1_funct_1(k5_facirc_1(k7_ftacell1(A, B, C, D, E), k8_ftacell1(A, B, C, D, E), F, 2), A)=G &  (k1_funct_1(k5_facirc_1(k7_ftacell1(A, B, C, D, E), k8_ftacell1(A, B, C, D, E), F, 2), B)=H &  (k1_funct_1(k5_facirc_1(k7_ftacell1(A, B, C, D, E), k8_ftacell1(A, B, C, D, E), F, 2), C)=I &  (k1_funct_1(k5_facirc_1(k7_ftacell1(A, B, C, D, E), k8_ftacell1(A, B, C, D, E), F, 2), D)=J & k1_funct_1(k5_facirc_1(k7_ftacell1(A, B, C, D, E), k8_ftacell1(A, B, C, D, E), F, 2), E)=K) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_ftacell1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  ( ~ (v1_xtuple_0(D))  =>  (! [E] :  ~ ( ( ~ (E=k4_tarski(k10_finseq_1(D, k24_gfacirc1(A, B, C)), k6_twoscomp))  &  ( ~ (r2_tarski(E, k3_msafree2(k25_gfacirc1(A, B, C))))  &  (? [F] :  (m1_subset_1(F, k4_card_3(u3_msualg_1(k7_ftacell1(A, B, C, D, E), k8_ftacell1(A, B, C, D, E)))) &  (? [G] :  (m1_subset_1(G, k5_margrel1) &  (? [H] :  (m1_subset_1(H, k5_margrel1) &  (? [I] :  (m1_subset_1(I, k5_margrel1) &  (? [J] :  (m1_subset_1(J, k5_margrel1) &  (? [K] :  (m1_subset_1(K, k5_margrel1) &  (G=k1_funct_1(F, A) &  (H=k1_funct_1(F, B) &  (I=k1_funct_1(F, C) &  (J=k1_funct_1(F, D) &  (K=k1_funct_1(F, E) &  ~ ( (k1_funct_1(k5_facirc_1(k7_ftacell1(A, B, C, D, E), k8_ftacell1(A, B, C, D, E), F, 4), k11_ftacell1(A, B, C, D, E))=k8_margrel1(k1_binarith(k1_binarith(k9_margrel1(k2_binarith(k2_binarith(G, k8_margrel1(H)), I), K), k9_margrel1(K, k8_margrel1(J))), k9_margrel1(k8_margrel1(J), k2_binarith(k2_binarith(G, k8_margrel1(H)), I)))) & k1_funct_1(k5_facirc_1(k7_ftacell1(A, B, C, D, E), k8_ftacell1(A, B, C, D, E), F, 4), k12_ftacell1(A, B, C, D, E))=k2_binarith(k2_binarith(k2_binarith(k2_binarith(G, k8_margrel1(H)), I), k8_margrel1(J)), K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_ftacell1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  ( ~ (v1_xtuple_0(D))  =>  (! [E] :  ( ~ (E=k4_tarski(k10_finseq_1(D, k24_gfacirc1(A, B, C)), k6_twoscomp))  =>  (! [F] :  (m1_subset_1(F, k4_card_3(u3_msualg_1(k7_ftacell1(A, B, C, D, E), k8_ftacell1(A, B, C, D, E)))) => v1_circuit2(k5_facirc_1(k7_ftacell1(A, B, C, D, E), k8_ftacell1(A, B, C, D, E), F, 4), k7_ftacell1(A, B, C, D, E), k8_ftacell1(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k13_ftacell1(A, B, C, D, E)=k2_circcomb(k37_gfacirc1(A, B, C), k25_gfacirc1(k36_gfacirc1(A, B, C), E, D))) ) ) ) ) ).
fof(d14_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k14_ftacell1(A, B, C, D, E)=k3_circcomb(k37_gfacirc1(A, B, C), k25_gfacirc1(k36_gfacirc1(A, B, C), E, D), k38_gfacirc1(A, B, C), k26_gfacirc1(k36_gfacirc1(A, B, C), E, D))) ) ) ) ) ).
fof(t21_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k3_msafree2(k13_ftacell1(A, B, C, D, E))=k2_xboole_0(k2_xboole_0(k2_xboole_0(k2_tarski(k4_tarski(k10_finseq_1(A, B), k4_gfacirc1), k36_gfacirc1(A, B, C)), k2_enumset1(k4_tarski(k10_finseq_1(A, B), k2_twoscomp), k4_tarski(k10_finseq_1(B, C), k3_gfacirc1), k4_tarski(k10_finseq_1(C, A), k6_twoscomp), k33_gfacirc1(A, B, C))), k2_tarski(k4_tarski(k10_finseq_1(k36_gfacirc1(A, B, C), E), k4_gfacirc1), k24_gfacirc1(k36_gfacirc1(A, B, C), E, D))), k2_enumset1(k4_tarski(k10_finseq_1(k36_gfacirc1(A, B, C), E), k3_gfacirc1), k4_tarski(k10_finseq_1(E, D), k2_twoscomp), k4_tarski(k10_finseq_1(D, k36_gfacirc1(A, B, C)), k3_facirc_1), k21_gfacirc1(k36_gfacirc1(A, B, C), E, D)))) ) ) ) ) ).
fof(t22_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : v1_relat_1(k3_msafree2(k13_ftacell1(A, B, C, D, E)))) ) ) ) ) ).
fof(t23_ftacell1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  ( ~ (v1_xtuple_0(D))  =>  (! [E] :  ~ ( ( ~ (E=k4_tarski(k10_finseq_1(D, k36_gfacirc1(A, B, C)), k3_facirc_1))  &  ( ~ (r2_tarski(E, k3_msafree2(k37_gfacirc1(A, B, C))))  &  ~ (k2_msafree2(k13_ftacell1(A, B, C, D, E))=k3_enumset1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (r2_tarski(A, u1_struct_0(k13_ftacell1(A, B, C, D, E))) &  (r2_tarski(B, u1_struct_0(k13_ftacell1(A, B, C, D, E))) &  (r2_tarski(C, u1_struct_0(k13_ftacell1(A, B, C, D, E))) &  (r2_tarski(D, u1_struct_0(k13_ftacell1(A, B, C, D, E))) &  (r2_tarski(E, u1_struct_0(k13_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k4_gfacirc1), u1_struct_0(k13_ftacell1(A, B, C, D, E))) &  (r2_tarski(k36_gfacirc1(A, B, C), u1_struct_0(k13_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k2_twoscomp), u1_struct_0(k13_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(B, C), k3_gfacirc1), u1_struct_0(k13_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(C, A), k6_twoscomp), u1_struct_0(k13_ftacell1(A, B, C, D, E))) &  (r2_tarski(k33_gfacirc1(A, B, C), u1_struct_0(k13_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(k36_gfacirc1(A, B, C), E), k4_gfacirc1), u1_struct_0(k13_ftacell1(A, B, C, D, E))) &  (r2_tarski(k24_gfacirc1(k36_gfacirc1(A, B, C), E, D), u1_struct_0(k13_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(k36_gfacirc1(A, B, C), E), k3_gfacirc1), u1_struct_0(k13_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(E, D), k2_twoscomp), u1_struct_0(k13_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(D, k36_gfacirc1(A, B, C)), k3_facirc_1), u1_struct_0(k13_ftacell1(A, B, C, D, E))) & r2_tarski(k21_gfacirc1(k36_gfacirc1(A, B, C), E, D), u1_struct_0(k13_ftacell1(A, B, C, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k4_gfacirc1), k3_msafree2(k13_ftacell1(A, B, C, D, E))) &  (r2_tarski(k36_gfacirc1(A, B, C), k3_msafree2(k13_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k2_twoscomp), k3_msafree2(k13_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(B, C), k3_gfacirc1), k3_msafree2(k13_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(C, A), k6_twoscomp), k3_msafree2(k13_ftacell1(A, B, C, D, E))) &  (r2_tarski(k33_gfacirc1(A, B, C), k3_msafree2(k13_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(k36_gfacirc1(A, B, C), E), k4_gfacirc1), k3_msafree2(k13_ftacell1(A, B, C, D, E))) &  (r2_tarski(k24_gfacirc1(k36_gfacirc1(A, B, C), E, D), k3_msafree2(k13_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(k36_gfacirc1(A, B, C), E), k3_gfacirc1), k3_msafree2(k13_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(E, D), k2_twoscomp), k3_msafree2(k13_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(D, k36_gfacirc1(A, B, C)), k3_facirc_1), k3_msafree2(k13_ftacell1(A, B, C, D, E))) & r2_tarski(k21_gfacirc1(k36_gfacirc1(A, B, C), E, D), k3_msafree2(k13_ftacell1(A, B, C, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_ftacell1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  ( ~ (v1_xtuple_0(D))  =>  (! [E] :  ~ ( ( ~ (E=k4_tarski(k10_finseq_1(D, k36_gfacirc1(A, B, C)), k3_facirc_1))  &  ( ~ (r2_tarski(E, k3_msafree2(k37_gfacirc1(A, B, C))))  &  ~ ( (r2_tarski(A, k2_msafree2(k13_ftacell1(A, B, C, D, E))) &  (r2_tarski(B, k2_msafree2(k13_ftacell1(A, B, C, D, E))) &  (r2_tarski(C, k2_msafree2(k13_ftacell1(A, B, C, D, E))) &  (r2_tarski(D, k2_msafree2(k13_ftacell1(A, B, C, D, E))) & r2_tarski(E, k2_msafree2(k13_ftacell1(A, B, C, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k15_ftacell1(A, B, C, D, E)=k33_gfacirc1(A, B, C)) ) ) ) ) ).
fof(d16_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k16_ftacell1(A, B, C, D, E)=k36_gfacirc1(A, B, C)) ) ) ) ) ).
fof(d17_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k17_ftacell1(A, B, C, D, E)=k21_gfacirc1(k36_gfacirc1(A, B, C), E, D)) ) ) ) ) ).
fof(d18_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k18_ftacell1(A, B, C, D, E)=k24_gfacirc1(k36_gfacirc1(A, B, C), E, D)) ) ) ) ) ).
fof(t27_ftacell1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  (! [E] :  (! [F] :  (m1_subset_1(F, k4_card_3(u3_msualg_1(k13_ftacell1(A, B, C, D, E), k14_ftacell1(A, B, C, D, E)))) =>  (! [G] :  (m1_subset_1(G, k5_margrel1) =>  (! [H] :  (m1_subset_1(H, k5_margrel1) =>  (! [I] :  (m1_subset_1(I, k5_margrel1) =>  ( (G=k1_funct_1(F, A) &  (H=k1_funct_1(F, B) & I=k1_funct_1(F, C)) )  =>  (k1_funct_1(k5_facirc_1(k13_ftacell1(A, B, C, D, E), k14_ftacell1(A, B, C, D, E), F, 2), k15_ftacell1(A, B, C, D, E))=k8_margrel1(k1_binarith(k1_binarith(k9_margrel1(k8_margrel1(G), H), k9_margrel1(H, k8_margrel1(I))), k9_margrel1(k8_margrel1(I), k8_margrel1(G)))) & k1_funct_1(k5_facirc_1(k13_ftacell1(A, B, C, D, E), k14_ftacell1(A, B, C, D, E), F, 2), k16_ftacell1(A, B, C, D, E))=k2_binarith(k2_binarith(k8_margrel1(G), H), k8_margrel1(I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_ftacell1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  ( ~ (v1_xtuple_0(D))  =>  (! [E] :  ~ ( ( ~ (E=k4_tarski(k10_finseq_1(D, k36_gfacirc1(A, B, C)), k3_facirc_1))  &  ( ~ (r2_tarski(E, k3_msafree2(k37_gfacirc1(A, B, C))))  &  (? [F] :  (m1_subset_1(F, k4_card_3(u3_msualg_1(k13_ftacell1(A, B, C, D, E), k14_ftacell1(A, B, C, D, E)))) &  (? [G] :  (m1_subset_1(G, k5_margrel1) &  (? [H] :  (m1_subset_1(H, k5_margrel1) &  (? [I] :  (m1_subset_1(I, k5_margrel1) &  (? [J] :  (m1_subset_1(J, k5_margrel1) &  (? [K] :  (m1_subset_1(K, k5_margrel1) &  (G=k1_funct_1(F, A) &  (H=k1_funct_1(F, B) &  (I=k1_funct_1(F, C) &  (J=k1_funct_1(F, D) &  (K=k1_funct_1(F, E) &  ~ ( (k1_funct_1(k5_facirc_1(k13_ftacell1(A, B, C, D, E), k14_ftacell1(A, B, C, D, E), F, 2), k36_gfacirc1(A, B, C))=k2_binarith(k2_binarith(k8_margrel1(G), H), k8_margrel1(I)) &  (k1_funct_1(k5_facirc_1(k13_ftacell1(A, B, C, D, E), k14_ftacell1(A, B, C, D, E), F, 2), A)=G &  (k1_funct_1(k5_facirc_1(k13_ftacell1(A, B, C, D, E), k14_ftacell1(A, B, C, D, E), F, 2), B)=H &  (k1_funct_1(k5_facirc_1(k13_ftacell1(A, B, C, D, E), k14_ftacell1(A, B, C, D, E), F, 2), C)=I &  (k1_funct_1(k5_facirc_1(k13_ftacell1(A, B, C, D, E), k14_ftacell1(A, B, C, D, E), F, 2), D)=J & k1_funct_1(k5_facirc_1(k13_ftacell1(A, B, C, D, E), k14_ftacell1(A, B, C, D, E), F, 2), E)=K) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_ftacell1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  ( ~ (v1_xtuple_0(D))  =>  (! [E] :  ~ ( ( ~ (E=k4_tarski(k10_finseq_1(D, k36_gfacirc1(A, B, C)), k3_facirc_1))  &  ( ~ (r2_tarski(E, k3_msafree2(k37_gfacirc1(A, B, C))))  &  (? [F] :  (m1_subset_1(F, k4_card_3(u3_msualg_1(k13_ftacell1(A, B, C, D, E), k14_ftacell1(A, B, C, D, E)))) &  (? [G] :  (m1_subset_1(G, k5_margrel1) &  (? [H] :  (m1_subset_1(H, k5_margrel1) &  (? [I] :  (m1_subset_1(I, k5_margrel1) &  (? [J] :  (m1_subset_1(J, k5_margrel1) &  (? [K] :  (m1_subset_1(K, k5_margrel1) &  (G=k1_funct_1(F, A) &  (H=k1_funct_1(F, B) &  (I=k1_funct_1(F, C) &  (J=k1_funct_1(F, D) &  (K=k1_funct_1(F, E) &  ~ ( (k1_funct_1(k5_facirc_1(k13_ftacell1(A, B, C, D, E), k14_ftacell1(A, B, C, D, E), F, 4), k17_ftacell1(A, B, C, D, E))=k1_binarith(k1_binarith(k9_margrel1(k2_binarith(k2_binarith(k8_margrel1(G), H), k8_margrel1(I)), k8_margrel1(K)), k9_margrel1(k8_margrel1(K), J)), k9_margrel1(J, k2_binarith(k2_binarith(k8_margrel1(G), H), k8_margrel1(I)))) & k1_funct_1(k5_facirc_1(k13_ftacell1(A, B, C, D, E), k14_ftacell1(A, B, C, D, E), F, 4), k18_ftacell1(A, B, C, D, E))=k8_margrel1(k2_binarith(k2_binarith(k2_binarith(k2_binarith(k8_margrel1(G), H), k8_margrel1(I)), J), k8_margrel1(K)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_ftacell1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  ( ~ (v1_xtuple_0(D))  =>  (! [E] :  ( ~ (E=k4_tarski(k10_finseq_1(D, k36_gfacirc1(A, B, C)), k3_facirc_1))  =>  (! [F] :  (m1_subset_1(F, k4_card_3(u3_msualg_1(k13_ftacell1(A, B, C, D, E), k14_ftacell1(A, B, C, D, E)))) => v1_circuit2(k5_facirc_1(k13_ftacell1(A, B, C, D, E), k14_ftacell1(A, B, C, D, E), F, 4), k13_ftacell1(A, B, C, D, E), k14_ftacell1(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k19_ftacell1(A, B, C, D, E)=k2_circcomb(k49_gfacirc1(A, B, C), k49_gfacirc1(k48_gfacirc1(A, B, C), E, D))) ) ) ) ) ).
fof(d20_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k20_ftacell1(A, B, C, D, E)=k3_circcomb(k49_gfacirc1(A, B, C), k49_gfacirc1(k48_gfacirc1(A, B, C), E, D), k50_gfacirc1(A, B, C), k50_gfacirc1(k48_gfacirc1(A, B, C), E, D))) ) ) ) ) ).
fof(t31_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k3_msafree2(k19_ftacell1(A, B, C, D, E))=k2_xboole_0(k2_xboole_0(k2_xboole_0(k2_tarski(k4_tarski(k10_finseq_1(A, B), k1_facirc_1), k48_gfacirc1(A, B, C)), k2_enumset1(k4_tarski(k10_finseq_1(A, B), k6_twoscomp), k4_tarski(k10_finseq_1(B, C), k6_twoscomp), k4_tarski(k10_finseq_1(C, A), k6_twoscomp), k45_gfacirc1(A, B, C))), k2_tarski(k4_tarski(k10_finseq_1(k48_gfacirc1(A, B, C), E), k1_facirc_1), k48_gfacirc1(k48_gfacirc1(A, B, C), E, D))), k2_enumset1(k4_tarski(k10_finseq_1(k48_gfacirc1(A, B, C), E), k6_twoscomp), k4_tarski(k10_finseq_1(E, D), k6_twoscomp), k4_tarski(k10_finseq_1(D, k48_gfacirc1(A, B, C)), k6_twoscomp), k45_gfacirc1(k48_gfacirc1(A, B, C), E, D)))) ) ) ) ) ).
fof(t32_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : v1_relat_1(k3_msafree2(k19_ftacell1(A, B, C, D, E)))) ) ) ) ) ).
fof(t33_ftacell1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  ( ~ (v1_xtuple_0(D))  =>  (! [E] :  ~ ( ( ~ (E=k4_tarski(k10_finseq_1(D, k48_gfacirc1(A, B, C)), k6_twoscomp))  &  ( ~ (r2_tarski(E, k3_msafree2(k49_gfacirc1(A, B, C))))  &  ~ (k2_msafree2(k19_ftacell1(A, B, C, D, E))=k3_enumset1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (r2_tarski(A, u1_struct_0(k19_ftacell1(A, B, C, D, E))) &  (r2_tarski(B, u1_struct_0(k19_ftacell1(A, B, C, D, E))) &  (r2_tarski(C, u1_struct_0(k19_ftacell1(A, B, C, D, E))) &  (r2_tarski(D, u1_struct_0(k19_ftacell1(A, B, C, D, E))) &  (r2_tarski(E, u1_struct_0(k19_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k1_facirc_1), u1_struct_0(k19_ftacell1(A, B, C, D, E))) &  (r2_tarski(k48_gfacirc1(A, B, C), u1_struct_0(k19_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k6_twoscomp), u1_struct_0(k19_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(B, C), k6_twoscomp), u1_struct_0(k19_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(C, A), k6_twoscomp), u1_struct_0(k19_ftacell1(A, B, C, D, E))) &  (r2_tarski(k45_gfacirc1(A, B, C), u1_struct_0(k19_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(k48_gfacirc1(A, B, C), E), k1_facirc_1), u1_struct_0(k19_ftacell1(A, B, C, D, E))) &  (r2_tarski(k48_gfacirc1(k48_gfacirc1(A, B, C), E, D), u1_struct_0(k19_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(k48_gfacirc1(A, B, C), E), k6_twoscomp), u1_struct_0(k19_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(E, D), k6_twoscomp), u1_struct_0(k19_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(D, k48_gfacirc1(A, B, C)), k6_twoscomp), u1_struct_0(k19_ftacell1(A, B, C, D, E))) & r2_tarski(k45_gfacirc1(k48_gfacirc1(A, B, C), E, D), u1_struct_0(k19_ftacell1(A, B, C, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k1_facirc_1), k3_msafree2(k19_ftacell1(A, B, C, D, E))) &  (r2_tarski(k48_gfacirc1(A, B, C), k3_msafree2(k19_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k6_twoscomp), k3_msafree2(k19_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(B, C), k6_twoscomp), k3_msafree2(k19_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(C, A), k6_twoscomp), k3_msafree2(k19_ftacell1(A, B, C, D, E))) &  (r2_tarski(k45_gfacirc1(A, B, C), k3_msafree2(k19_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(k48_gfacirc1(A, B, C), E), k1_facirc_1), k3_msafree2(k19_ftacell1(A, B, C, D, E))) &  (r2_tarski(k48_gfacirc1(k48_gfacirc1(A, B, C), E, D), k3_msafree2(k19_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(k48_gfacirc1(A, B, C), E), k6_twoscomp), k3_msafree2(k19_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(E, D), k6_twoscomp), k3_msafree2(k19_ftacell1(A, B, C, D, E))) &  (r2_hidden(k4_tarski(k10_finseq_1(D, k48_gfacirc1(A, B, C)), k6_twoscomp), k3_msafree2(k19_ftacell1(A, B, C, D, E))) & r2_tarski(k45_gfacirc1(k48_gfacirc1(A, B, C), E, D), k3_msafree2(k19_ftacell1(A, B, C, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_ftacell1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  ( ~ (v1_xtuple_0(D))  =>  (! [E] :  ~ ( ( ~ (E=k4_tarski(k10_finseq_1(D, k48_gfacirc1(A, B, C)), k6_twoscomp))  &  ( ~ (r2_tarski(E, k3_msafree2(k49_gfacirc1(A, B, C))))  &  ~ ( (r2_tarski(A, k2_msafree2(k19_ftacell1(A, B, C, D, E))) &  (r2_tarski(B, k2_msafree2(k19_ftacell1(A, B, C, D, E))) &  (r2_tarski(C, k2_msafree2(k19_ftacell1(A, B, C, D, E))) &  (r2_tarski(D, k2_msafree2(k19_ftacell1(A, B, C, D, E))) & r2_tarski(E, k2_msafree2(k19_ftacell1(A, B, C, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d21_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k21_ftacell1(A, B, C, D, E)=k45_gfacirc1(A, B, C)) ) ) ) ) ).
fof(d22_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k22_ftacell1(A, B, C, D, E)=k48_gfacirc1(A, B, C)) ) ) ) ) ).
fof(d23_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k23_ftacell1(A, B, C, D, E)=k45_gfacirc1(k48_gfacirc1(A, B, C), E, D)) ) ) ) ) ).
fof(d24_ftacell1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k24_ftacell1(A, B, C, D, E)=k48_gfacirc1(k48_gfacirc1(A, B, C), E, D)) ) ) ) ) ).
fof(t37_ftacell1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  (! [E] :  (! [F] :  (m1_subset_1(F, k4_card_3(u3_msualg_1(k19_ftacell1(A, B, C, D, E), k20_ftacell1(A, B, C, D, E)))) =>  (! [G] :  (m1_subset_1(G, k5_margrel1) =>  (! [H] :  (m1_subset_1(H, k5_margrel1) =>  (! [I] :  (m1_subset_1(I, k5_margrel1) =>  ( (G=k1_funct_1(F, A) &  (H=k1_funct_1(F, B) & I=k1_funct_1(F, C)) )  =>  (k1_funct_1(k5_facirc_1(k19_ftacell1(A, B, C, D, E), k20_ftacell1(A, B, C, D, E), F, 2), k21_ftacell1(A, B, C, D, E))=k8_margrel1(k1_binarith(k1_binarith(k9_margrel1(k8_margrel1(G), k8_margrel1(H)), k9_margrel1(k8_margrel1(H), k8_margrel1(I))), k9_margrel1(k8_margrel1(I), k8_margrel1(G)))) & k1_funct_1(k5_facirc_1(k19_ftacell1(A, B, C, D, E), k20_ftacell1(A, B, C, D, E), F, 2), k22_ftacell1(A, B, C, D, E))=k8_margrel1(k2_binarith(k2_binarith(k8_margrel1(G), k8_margrel1(H)), k8_margrel1(I)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_ftacell1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  ( ~ (v1_xtuple_0(D))  =>  (! [E] :  ~ ( ( ~ (E=k4_tarski(k10_finseq_1(D, k48_gfacirc1(A, B, C)), k6_twoscomp))  &  ( ~ (r2_tarski(E, k3_msafree2(k49_gfacirc1(A, B, C))))  &  (? [F] :  (m1_subset_1(F, k4_card_3(u3_msualg_1(k19_ftacell1(A, B, C, D, E), k20_ftacell1(A, B, C, D, E)))) &  (? [G] :  (m1_subset_1(G, k5_margrel1) &  (? [H] :  (m1_subset_1(H, k5_margrel1) &  (? [I] :  (m1_subset_1(I, k5_margrel1) &  (? [J] :  (m1_subset_1(J, k5_margrel1) &  (? [K] :  (m1_subset_1(K, k5_margrel1) &  (G=k1_funct_1(F, A) &  (H=k1_funct_1(F, B) &  (I=k1_funct_1(F, C) &  (J=k1_funct_1(F, D) &  (K=k1_funct_1(F, E) &  ~ ( (k1_funct_1(k5_facirc_1(k19_ftacell1(A, B, C, D, E), k20_ftacell1(A, B, C, D, E), F, 2), k48_gfacirc1(A, B, C))=k8_margrel1(k2_binarith(k2_binarith(k8_margrel1(G), k8_margrel1(H)), k8_margrel1(I))) &  (k1_funct_1(k5_facirc_1(k19_ftacell1(A, B, C, D, E), k20_ftacell1(A, B, C, D, E), F, 2), A)=G &  (k1_funct_1(k5_facirc_1(k19_ftacell1(A, B, C, D, E), k20_ftacell1(A, B, C, D, E), F, 2), B)=H &  (k1_funct_1(k5_facirc_1(k19_ftacell1(A, B, C, D, E), k20_ftacell1(A, B, C, D, E), F, 2), C)=I &  (k1_funct_1(k5_facirc_1(k19_ftacell1(A, B, C, D, E), k20_ftacell1(A, B, C, D, E), F, 2), D)=J & k1_funct_1(k5_facirc_1(k19_ftacell1(A, B, C, D, E), k20_ftacell1(A, B, C, D, E), F, 2), E)=K) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_ftacell1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  ( ~ (v1_xtuple_0(D))  =>  (! [E] :  ~ ( ( ~ (E=k4_tarski(k10_finseq_1(D, k48_gfacirc1(A, B, C)), k6_twoscomp))  &  ( ~ (r2_tarski(E, k3_msafree2(k49_gfacirc1(A, B, C))))  &  (? [F] :  (m1_subset_1(F, k4_card_3(u3_msualg_1(k19_ftacell1(A, B, C, D, E), k20_ftacell1(A, B, C, D, E)))) &  (? [G] :  (m1_subset_1(G, k5_margrel1) &  (? [H] :  (m1_subset_1(H, k5_margrel1) &  (? [I] :  (m1_subset_1(I, k5_margrel1) &  (? [J] :  (m1_subset_1(J, k5_margrel1) &  (? [K] :  (m1_subset_1(K, k5_margrel1) &  (G=k1_funct_1(F, A) &  (H=k1_funct_1(F, B) &  (I=k1_funct_1(F, C) &  (J=k1_funct_1(F, D) &  (K=k1_funct_1(F, E) &  ~ ( (k1_funct_1(k5_facirc_1(k19_ftacell1(A, B, C, D, E), k20_ftacell1(A, B, C, D, E), F, 4), k23_ftacell1(A, B, C, D, E))=k8_margrel1(k1_binarith(k1_binarith(k9_margrel1(k2_binarith(k2_binarith(k8_margrel1(G), k8_margrel1(H)), k8_margrel1(I)), k8_margrel1(K)), k9_margrel1(k8_margrel1(K), k8_margrel1(J))), k9_margrel1(k8_margrel1(J), k2_binarith(k2_binarith(k8_margrel1(G), k8_margrel1(H)), k8_margrel1(I))))) & k1_funct_1(k5_facirc_1(k19_ftacell1(A, B, C, D, E), k20_ftacell1(A, B, C, D, E), F, 4), k24_ftacell1(A, B, C, D, E))=k8_margrel1(k2_binarith(k2_binarith(k2_binarith(k2_binarith(k8_margrel1(G), k8_margrel1(H)), k8_margrel1(I)), k8_margrel1(J)), k8_margrel1(K)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_ftacell1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  (! [D] :  ( ~ (v1_xtuple_0(D))  =>  (! [E] :  ( ~ (E=k4_tarski(k10_finseq_1(D, k48_gfacirc1(A, B, C)), k6_twoscomp))  =>  (! [F] :  (m1_subset_1(F, k4_card_3(u3_msualg_1(k19_ftacell1(A, B, C, D, E), k20_ftacell1(A, B, C, D, E)))) => v1_circuit2(k5_facirc_1(k19_ftacell1(A, B, C, D, E), k20_ftacell1(A, B, C, D, E), F, 4), k19_ftacell1(A, B, C, D, E), k20_ftacell1(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_ftacell1, axiom,  (! [A, B, C, D, E] :  ( ~ (v2_struct_0(k1_ftacell1(A, B, C, D, E)))  &  ( ~ (v11_struct_0(k1_ftacell1(A, B, C, D, E)))  &  (v1_msualg_1(k1_ftacell1(A, B, C, D, E)) &  (v1_circcomb(k1_ftacell1(A, B, C, D, E)) &  (v2_circcomb(k1_ftacell1(A, B, C, D, E)) &  (v3_circcomb(k1_ftacell1(A, B, C, D, E)) & l1_msualg_1(k1_ftacell1(A, B, C, D, E))) ) ) ) ) ) ) ).
fof(dt_k2_ftacell1, axiom,  (! [A, B, C, D, E] :  (v3_msualg_1(k2_ftacell1(A, B, C, D, E), k1_ftacell1(A, B, C, D, E)) &  (v4_msafree2(k2_ftacell1(A, B, C, D, E), k1_ftacell1(A, B, C, D, E)) &  (v4_circcomb(k2_ftacell1(A, B, C, D, E), k1_ftacell1(A, B, C, D, E)) &  (v6_circcomb(k2_ftacell1(A, B, C, D, E), k1_ftacell1(A, B, C, D, E)) & l3_msualg_1(k2_ftacell1(A, B, C, D, E), k1_ftacell1(A, B, C, D, E))) ) ) ) ) ).
fof(dt_k3_ftacell1, axiom,  (! [A, B, C, D, E] : m1_subset_1(k3_ftacell1(A, B, C, D, E), k3_msafree2(k1_ftacell1(A, B, C, D, E)))) ).
fof(dt_k4_ftacell1, axiom,  (! [A, B, C, D, E] : m1_subset_1(k4_ftacell1(A, B, C, D, E), k3_msafree2(k1_ftacell1(A, B, C, D, E)))) ).
fof(dt_k5_ftacell1, axiom,  (! [A, B, C, D, E] : m1_subset_1(k5_ftacell1(A, B, C, D, E), k3_msafree2(k1_ftacell1(A, B, C, D, E)))) ).
fof(dt_k6_ftacell1, axiom,  (! [A, B, C, D, E] : m1_subset_1(k6_ftacell1(A, B, C, D, E), k3_msafree2(k1_ftacell1(A, B, C, D, E)))) ).
fof(dt_k7_ftacell1, axiom,  (! [A, B, C, D, E] :  ( ~ (v2_struct_0(k7_ftacell1(A, B, C, D, E)))  &  ( ~ (v11_struct_0(k7_ftacell1(A, B, C, D, E)))  &  (v1_msualg_1(k7_ftacell1(A, B, C, D, E)) &  (v1_circcomb(k7_ftacell1(A, B, C, D, E)) &  (v2_circcomb(k7_ftacell1(A, B, C, D, E)) &  (v3_circcomb(k7_ftacell1(A, B, C, D, E)) & l1_msualg_1(k7_ftacell1(A, B, C, D, E))) ) ) ) ) ) ) ).
fof(dt_k8_ftacell1, axiom,  (! [A, B, C, D, E] :  (v3_msualg_1(k8_ftacell1(A, B, C, D, E), k7_ftacell1(A, B, C, D, E)) &  (v4_msafree2(k8_ftacell1(A, B, C, D, E), k7_ftacell1(A, B, C, D, E)) &  (v4_circcomb(k8_ftacell1(A, B, C, D, E), k7_ftacell1(A, B, C, D, E)) &  (v6_circcomb(k8_ftacell1(A, B, C, D, E), k7_ftacell1(A, B, C, D, E)) & l3_msualg_1(k8_ftacell1(A, B, C, D, E), k7_ftacell1(A, B, C, D, E))) ) ) ) ) ).
fof(dt_k9_ftacell1, axiom,  (! [A, B, C, D, E] : m1_subset_1(k9_ftacell1(A, B, C, D, E), k3_msafree2(k7_ftacell1(A, B, C, D, E)))) ).
fof(dt_k10_ftacell1, axiom,  (! [A, B, C, D, E] : m1_subset_1(k10_ftacell1(A, B, C, D, E), k3_msafree2(k7_ftacell1(A, B, C, D, E)))) ).
fof(dt_k11_ftacell1, axiom,  (! [A, B, C, D, E] : m1_subset_1(k11_ftacell1(A, B, C, D, E), k3_msafree2(k7_ftacell1(A, B, C, D, E)))) ).
fof(dt_k12_ftacell1, axiom,  (! [A, B, C, D, E] : m1_subset_1(k12_ftacell1(A, B, C, D, E), k3_msafree2(k7_ftacell1(A, B, C, D, E)))) ).
fof(dt_k13_ftacell1, axiom,  (! [A, B, C, D, E] :  ( ~ (v2_struct_0(k13_ftacell1(A, B, C, D, E)))  &  ( ~ (v11_struct_0(k13_ftacell1(A, B, C, D, E)))  &  (v1_msualg_1(k13_ftacell1(A, B, C, D, E)) &  (v1_circcomb(k13_ftacell1(A, B, C, D, E)) &  (v2_circcomb(k13_ftacell1(A, B, C, D, E)) &  (v3_circcomb(k13_ftacell1(A, B, C, D, E)) & l1_msualg_1(k13_ftacell1(A, B, C, D, E))) ) ) ) ) ) ) ).
fof(dt_k14_ftacell1, axiom,  (! [A, B, C, D, E] :  (v3_msualg_1(k14_ftacell1(A, B, C, D, E), k13_ftacell1(A, B, C, D, E)) &  (v4_msafree2(k14_ftacell1(A, B, C, D, E), k13_ftacell1(A, B, C, D, E)) &  (v4_circcomb(k14_ftacell1(A, B, C, D, E), k13_ftacell1(A, B, C, D, E)) &  (v6_circcomb(k14_ftacell1(A, B, C, D, E), k13_ftacell1(A, B, C, D, E)) & l3_msualg_1(k14_ftacell1(A, B, C, D, E), k13_ftacell1(A, B, C, D, E))) ) ) ) ) ).
fof(dt_k15_ftacell1, axiom,  (! [A, B, C, D, E] : m1_subset_1(k15_ftacell1(A, B, C, D, E), k3_msafree2(k13_ftacell1(A, B, C, D, E)))) ).
fof(dt_k16_ftacell1, axiom,  (! [A, B, C, D, E] : m1_subset_1(k16_ftacell1(A, B, C, D, E), k3_msafree2(k13_ftacell1(A, B, C, D, E)))) ).
fof(dt_k17_ftacell1, axiom,  (! [A, B, C, D, E] : m1_subset_1(k17_ftacell1(A, B, C, D, E), k3_msafree2(k13_ftacell1(A, B, C, D, E)))) ).
fof(dt_k18_ftacell1, axiom,  (! [A, B, C, D, E] : m1_subset_1(k18_ftacell1(A, B, C, D, E), k3_msafree2(k13_ftacell1(A, B, C, D, E)))) ).
fof(dt_k19_ftacell1, axiom,  (! [A, B, C, D, E] :  ( ~ (v2_struct_0(k19_ftacell1(A, B, C, D, E)))  &  ( ~ (v11_struct_0(k19_ftacell1(A, B, C, D, E)))  &  (v1_msualg_1(k19_ftacell1(A, B, C, D, E)) &  (v1_circcomb(k19_ftacell1(A, B, C, D, E)) &  (v2_circcomb(k19_ftacell1(A, B, C, D, E)) &  (v3_circcomb(k19_ftacell1(A, B, C, D, E)) & l1_msualg_1(k19_ftacell1(A, B, C, D, E))) ) ) ) ) ) ) ).
fof(dt_k20_ftacell1, axiom,  (! [A, B, C, D, E] :  (v3_msualg_1(k20_ftacell1(A, B, C, D, E), k19_ftacell1(A, B, C, D, E)) &  (v4_msafree2(k20_ftacell1(A, B, C, D, E), k19_ftacell1(A, B, C, D, E)) &  (v4_circcomb(k20_ftacell1(A, B, C, D, E), k19_ftacell1(A, B, C, D, E)) &  (v6_circcomb(k20_ftacell1(A, B, C, D, E), k19_ftacell1(A, B, C, D, E)) & l3_msualg_1(k20_ftacell1(A, B, C, D, E), k19_ftacell1(A, B, C, D, E))) ) ) ) ) ).
fof(dt_k21_ftacell1, axiom,  (! [A, B, C, D, E] : m1_subset_1(k21_ftacell1(A, B, C, D, E), k3_msafree2(k19_ftacell1(A, B, C, D, E)))) ).
fof(dt_k22_ftacell1, axiom,  (! [A, B, C, D, E] : m1_subset_1(k22_ftacell1(A, B, C, D, E), k3_msafree2(k19_ftacell1(A, B, C, D, E)))) ).
fof(dt_k23_ftacell1, axiom,  (! [A, B, C, D, E] : m1_subset_1(k23_ftacell1(A, B, C, D, E), k3_msafree2(k19_ftacell1(A, B, C, D, E)))) ).
fof(dt_k24_ftacell1, axiom,  (! [A, B, C, D, E] : m1_subset_1(k24_ftacell1(A, B, C, D, E), k3_msafree2(k19_ftacell1(A, B, C, D, E)))) ).
fof(fc1_funcop_1, axiom,  (! [A, B] :  (v1_relat_1(k2_funcop_1(A, B)) & v1_funct_1(k2_funcop_1(A, B))) ) ).
fof(fc2_funcop_1, axiom,  (! [A] : v1_xboole_0(k2_funcop_1(k1_xboole_0, A))) ).
fof(fc3_funcop_1, axiom,  (! [A, B] :  (v1_xboole_0(B) => v1_xboole_0(k2_funcop_1(B, A))) ) ).
fof(fc4_funcop_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  ~ (v1_xboole_0(k2_funcop_1(B, A))) ) ) ).
fof(fc5_funcop_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  ( (v1_relat_1(B) & v1_funct_1(B))  &  (v1_relat_1(C) & v1_funct_1(C)) ) )  =>  (v1_relat_1(k3_funcop_1(A, B, C)) & v1_funct_1(k3_funcop_1(A, B, C))) ) ) ).
fof(fc6_funcop_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k4_funcop_1(A, B, C)) & v1_funct_1(k4_funcop_1(A, B, C))) ) ) ).
fof(fc7_funcop_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(C) & v1_funct_1(C)) )  =>  (v1_relat_1(k5_funcop_1(A, B, C)) & v1_funct_1(k5_funcop_1(A, B, C))) ) ) ).
fof(rc1_funcop_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) ) ) ).
fof(fc8_funcop_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (v1_relat_1(k1_funct_1(A, B)) & v1_funct_1(k1_funct_1(A, B))) ) ) ).
fof(fc9_funcop_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k3_relat_1(B, A)) & v1_funcop_1(k3_relat_1(B, A))) ) ) ).
fof(fc10_funcop_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  => v2_relat_1(k2_funcop_1(A, B))) ) ).
fof(fc11_funcop_1, axiom,  (! [A, B] :  (v1_relat_1(k17_funcop_1(A, B)) & v1_funct_1(k17_funcop_1(A, B))) ) ).
fof(fc12_funcop_1, axiom,  (! [A, B] : v2_funct_1(k17_funcop_1(A, B))) ).
fof(fc13_funcop_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v1_funcop_1(k5_relat_1(A, B))) ) ) ).
fof(fc14_funcop_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => v1_funcop_1(k2_funcop_1(A, B))) ) ).
fof(fc15_funcop_1, axiom,  (! [A, B] : v3_funct_1(k2_funcop_1(A, B))) ).
fof(rc2_funcop_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_funct_1(A) &  ~ (v1_xboole_0(A)) ) ) ) ) ).
fof(rc3_funcop_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v3_funct_1(C) &  (v1_partfun1(C, A) & v1_funct_2(C, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(fc16_funcop_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v3_funct_1(k5_relat_1(A, B))) ) ) ).
fof(rc4_funcop_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) ) ) ) ) ) ).
fof(fc17_funcop_1, axiom,  (! [A, B] : v4_relat_1(k2_funcop_1(A, B), A)) ).
fof(fc18_funcop_1, axiom,  (! [A, B] : v4_relat_1(k17_funcop_1(A, B), k1_tarski(A))) ).
fof(fc19_funcop_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => v1_funcop_1(k17_funcop_1(A, B))) ) ).
fof(rc5_funcop_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) ) ) ) ).
fof(fc20_funcop_1, axiom,  (! [A, B] :  (v1_relat_1(k2_funcop_1(A, B)) &  (v4_relat_1(k2_funcop_1(A, B), A) &  (v1_funct_1(k2_funcop_1(A, B)) & v1_partfun1(k2_funcop_1(A, B), A)) ) ) ) ).
fof(fc21_funcop_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(C, A))  => v5_relat_1(k17_funcop_1(B, C), A)) ) ).
fof(fc22_funcop_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(C, B))  => v5_relat_1(k2_funcop_1(A, C), B)) ) ).
fof(fc23_funcop_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => v4_relat_1(k17_funcop_1(B, C), A)) ) ).
fof(cc1_funcop_1, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  =>  (v1_relat_1(B) &  (v1_funct_1(B) & v1_funcop_1(B)) ) ) ) ) ) ).
fof(cc2_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funcop_1(A)) ) ) ) ).
fof(cc3_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_xboole_0(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) ) ) ) ).
fof(fc24_funcop_1, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (v1_relat_1(k1_binop_1(A, B, C)) & v1_funct_1(k1_binop_1(A, B, C))) ) ) ).
fof(cc4_funcop_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  ~ (v1_xboole_0(C)) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k9_funct_2(A, C)))) =>  ( (v1_funct_1(D) & v1_funct_2(D, B, k9_funct_2(A, C)))  =>  (v1_funct_1(D) &  (v1_funct_2(D, B, k9_funct_2(A, C)) & v1_funcop_1(D)) ) ) ) ) ) ) ).
fof(t1_funcop_1, axiom,  (! [A] : k12_funct_3(A)=k13_funct_3(k6_partfun1(A), k6_partfun1(A))) ).
fof(d1_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (B=k1_funcop_1(A) <=>  (k9_xtuple_0(B)=k9_xtuple_0(A) &  (! [C] :  (r2_hidden(C, k9_xtuple_0(A)) =>  ( (! [D] :  (! [E] :  (k1_funct_1(A, C)=k4_tarski(D, E) => k1_funct_1(B, C)=k4_tarski(E, D)) ) )  &  ~ ( ( ~ (k1_funct_1(A, C)=k1_funct_1(B, C))  &  (! [D] :  (! [E] :  ~ (k1_funct_1(A, C)=k4_tarski(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => k13_funct_3(A, B)=k1_funcop_1(k13_funct_3(B, A))) ) ) ) ).
fof(t3_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] : k1_funcop_1(k5_relat_1(A, B))=k5_relat_1(k1_funcop_1(A), B)) ) ) ).
fof(t4_funcop_1, axiom,  (! [A] : k1_funcop_1(k12_funct_3(A))=k12_funct_3(A)) ).
fof(t5_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] : k5_relat_1(k13_funct_3(A, B), C)=k13_funct_3(k5_relat_1(A, C), B)) ) ) ) ) ).
fof(t6_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] : k5_relat_1(k13_funct_3(A, B), C)=k13_funct_3(A, k5_relat_1(B, C))) ) ) ) ) ).
fof(d2_funcop_1, axiom,  (! [A] :  (! [B] : k2_funcop_1(A, B)=k2_zfmisc_1(A, k1_tarski(B))) ) ).
fof(t7_funcop_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_hidden(B, A) => k1_funct_1(k2_funcop_1(A, C), B)=C) ) ) ) ).
fof(t8_funcop_1, axiom,  (! [A] :  (! [B] :  ( ~ (A=k1_xboole_0)  => k10_xtuple_0(k2_funcop_1(A, B))=k1_tarski(B)) ) ) ).
fof(t9_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (k10_xtuple_0(A)=k1_tarski(B) => A=k2_funcop_1(k9_xtuple_0(A), B)) ) ) ) ).
fof(t10_funcop_1, axiom,  (! [A] :  (k9_xtuple_0(k2_funcop_1(k1_xboole_0, A))=k1_xboole_0 & k10_xtuple_0(k2_funcop_1(k1_xboole_0, A))=k1_xboole_0) ) ).
fof(t11_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (! [C] :  (r2_hidden(C, k9_xtuple_0(A)) => k1_funct_1(A, C)=B) )  => A=k2_funcop_1(k9_xtuple_0(A), B)) ) ) ) ).
fof(t12_funcop_1, axiom,  (! [A] :  (! [B] :  (! [C] : k5_relat_1(k2_funcop_1(A, C), B)=k2_funcop_1(k3_xboole_0(A, B), C)) ) ) ).
fof(t13_funcop_1, axiom,  (! [A] :  (! [B] :  (k9_xtuple_0(k2_funcop_1(A, B))=A & r1_tarski(k10_xtuple_0(k2_funcop_1(A, B)), k1_tarski(B))) ) ) ).
fof(t14_funcop_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_hidden(C, B) => k8_relat_1(k2_funcop_1(A, C), B)=A) ) ) ) ).
fof(t15_funcop_1, axiom,  (! [A] :  (! [B] : k8_relat_1(k2_funcop_1(A, B), k1_tarski(B))=A) ) ).
fof(t16_funcop_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (r2_hidden(C, B))  => k8_relat_1(k2_funcop_1(A, C), B)=k1_xboole_0) ) ) ) ).
fof(t17_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (r2_hidden(C, k9_xtuple_0(A)) => k3_relat_1(k2_funcop_1(B, C), A)=k2_funcop_1(B, k1_funct_1(A, C))) ) ) ) ) ).
fof(t18_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  ~ ( ( ~ (B=k1_xboole_0)  &  (r2_hidden(C, k9_xtuple_0(A)) & k9_xtuple_0(k3_relat_1(k2_funcop_1(B, C), A))=k1_xboole_0) ) ) ) ) ) ) ).
fof(t19_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] : k3_relat_1(A, k2_funcop_1(B, C))=k2_funcop_1(k8_relat_1(A, B), C)) ) ) ) ).
fof(t20_funcop_1, axiom,  (! [A] :  (! [B] :  (! [C] : k1_funcop_1(k2_funcop_1(A, k4_tarski(C, B)))=k2_funcop_1(A, k4_tarski(B, C))) ) ) ).
fof(d3_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => k3_funcop_1(A, B, C)=k3_relat_1(k13_funct_3(B, C), A)) ) ) ) ) ) ).
fof(t21_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (k9_xtuple_0(D)=k9_xtuple_0(k3_funcop_1(C, A, B)) &  (! [E] :  (r2_tarski(E, k9_xtuple_0(k3_funcop_1(C, A, B))) => k1_funct_1(D, E)=k1_binop_1(C, k1_funct_1(A, E), k1_funct_1(B, E))) ) )  => D=k3_funcop_1(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(t22_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  (r2_hidden(D, k9_xtuple_0(k3_funcop_1(C, A, B))) => k1_funct_1(k3_funcop_1(C, A, B), D)=k1_binop_1(C, k1_funct_1(A, D), k1_funct_1(B, D))) ) ) ) ) ) ) ) ).
fof(t23_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (k5_relat_1(A, D)=k5_relat_1(B, D) => k5_relat_1(k3_funcop_1(E, A, C), D)=k5_relat_1(k3_funcop_1(E, B, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(t24_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (k5_relat_1(A, D)=k5_relat_1(B, D) => k5_relat_1(k3_funcop_1(E, C, A), D)=k5_relat_1(k3_funcop_1(E, C, B), D)) ) ) ) ) ) ) ) ) ) ).
fof(t25_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  => k3_relat_1(C, k3_funcop_1(D, A, B))=k3_funcop_1(D, k3_relat_1(C, A), k3_relat_1(C, B))) ) ) ) ) ) ) ) ).
fof(d4_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] : k4_funcop_1(A, B, C)=k3_relat_1(k13_funct_3(B, k2_funcop_1(k9_xtuple_0(B), C)), A)) ) ) ) ) ).
fof(t26_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] : k4_funcop_1(B, A, C)=k3_funcop_1(B, A, k2_funcop_1(k9_xtuple_0(A), C))) ) ) ) ) ).
fof(t27_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (! [D] :  (r2_hidden(C, k9_xtuple_0(k4_funcop_1(B, A, D))) => k1_funct_1(k4_funcop_1(B, A, D), C)=k1_binop_1(B, k1_funct_1(A, C), D)) ) ) ) ) ) ) ).
fof(t28_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  (k5_relat_1(A, C)=k5_relat_1(B, C) => k5_relat_1(k4_funcop_1(D, A, E), C)=k5_relat_1(k4_funcop_1(D, B, E), C)) ) ) ) ) ) ) ) ) ).
fof(t29_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] : k3_relat_1(B, k4_funcop_1(C, A, D))=k4_funcop_1(C, k3_relat_1(B, A), D)) ) ) ) ) ) ) ).
fof(t30_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] : k3_relat_1(k6_partfun1(B), k4_funcop_1(C, A, D))=k4_funcop_1(C, k5_relat_1(A, B), D)) ) ) ) ) ) ).
fof(d5_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => k5_funcop_1(A, B, C)=k3_relat_1(k13_funct_3(k2_funcop_1(k9_xtuple_0(C), B), C), A)) ) ) ) ) ).
fof(t31_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] : k5_funcop_1(B, C, A)=k3_funcop_1(B, k2_funcop_1(k9_xtuple_0(A), C), A)) ) ) ) ) ).
fof(t32_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (! [D] :  (r2_hidden(C, k9_xtuple_0(k5_funcop_1(B, D, A))) => k1_funct_1(k5_funcop_1(B, D, A), C)=k1_binop_1(B, D, k1_funct_1(A, C))) ) ) ) ) ) ) ).
fof(t33_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  (k5_relat_1(A, C)=k5_relat_1(B, C) => k5_relat_1(k5_funcop_1(D, E, A), C)=k5_relat_1(k5_funcop_1(D, E, B), C)) ) ) ) ) ) ) ) ) ).
fof(t34_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] : k3_relat_1(B, k5_funcop_1(C, D, A))=k5_funcop_1(C, D, k3_relat_1(B, A))) ) ) ) ) ) ) ).
fof(t35_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] : k3_relat_1(k6_partfun1(B), k5_funcop_1(C, D, A))=k5_funcop_1(C, D, k5_relat_1(A, B))) ) ) ) ) ) ).
fof(t36_funcop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (v1_funct_1(k3_funcop_1(C, D, E)) &  (v1_funct_2(k3_funcop_1(C, D, E), B, A) & m1_subset_1(k3_funcop_1(C, D, E), k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_funcop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [F] :  (m1_subset_1(F, B) => k3_funct_2(B, A, k6_funcop_1(A, B, C, D, E), F)=k4_binop_1(A, C, k3_funct_2(B, A, D, F), k3_funct_2(B, A, E, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_funcop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, B, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  ( (! [G] :  (m1_subset_1(G, B) => k3_funct_2(B, A, F, G)=k4_binop_1(A, C, k3_funct_2(B, A, D, G), k3_funct_2(B, A, E, G))) )  => r2_funct_2(B, A, F, k6_funcop_1(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_funcop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  => r2_funct_2(B, A, k1_partfun1(B, A, A, A, D, k6_funcop_1(A, A, C, k6_partfun1(A), E)), k6_funcop_1(A, B, C, D, k1_partfun1(B, A, A, A, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t40_funcop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  => r2_funct_2(B, A, k1_partfun1(B, A, A, A, D, k6_funcop_1(A, A, C, E, k6_partfun1(A))), k6_funcop_1(A, B, C, k1_partfun1(B, A, A, A, D, E), D))) ) ) ) ) ) ) ) ) ) ).
fof(t41_funcop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  => r2_funct_2(B, A, k1_partfun1(B, A, A, A, D, k6_funcop_1(A, A, C, k6_partfun1(A), k6_partfun1(A))), k6_funcop_1(A, B, C, D, D))) ) ) ) ) ) ) ) ).
fof(t42_funcop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  => k3_funct_2(A, A, k6_funcop_1(A, A, B, k6_partfun1(A), D), C)=k4_binop_1(A, B, C, k3_funct_2(A, A, D, C))) ) ) ) ) ) ) ) ).
fof(t43_funcop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  => k3_funct_2(A, A, k6_funcop_1(A, A, B, D, k6_partfun1(A)), C)=k4_binop_1(A, B, k3_funct_2(A, A, D, C), C)) ) ) ) ) ) ) ) ).
fof(t44_funcop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  (m1_subset_1(C, A) => k3_funct_2(A, A, k6_funcop_1(A, A, B, k6_partfun1(A), k6_partfun1(A)), C)=k4_binop_1(A, B, C, C)) ) ) ) ) ) ).
fof(t45_funcop_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, C) =>  (r2_tarski(D, B) =>  (v1_funct_1(k2_funcop_1(A, D)) &  (v1_funct_2(k2_funcop_1(A, D), A, B) & m1_subset_1(k2_funcop_1(A, D), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ) ) ) ) ).
fof(t46_funcop_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (v1_funct_1(k8_funcop_1(B, A, C)) &  (v1_funct_2(k8_funcop_1(B, A, C), A, B) & m1_subset_1(k8_funcop_1(B, A, C), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ) ) ).
fof(t47_funcop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [E] :  (m1_subset_1(E, A) =>  (v1_funct_1(k4_funcop_1(C, D, E)) &  (v1_funct_2(k4_funcop_1(C, D, E), B, A) & m1_subset_1(k4_funcop_1(C, D, E), k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_funcop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, B) => k3_funct_2(B, A, k9_funcop_1(A, B, C, D, E), F)=k4_binop_1(A, C, k3_funct_2(B, A, D, F), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_funcop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [F] :  (m1_subset_1(F, A) =>  ( (! [G] :  (m1_subset_1(G, B) => k3_funct_2(B, A, E, G)=k4_binop_1(A, C, k3_funct_2(B, A, D, G), F)) )  => r2_funct_2(B, A, E, k9_funcop_1(A, B, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_funcop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [E] :  (m1_subset_1(E, A) => r2_funct_2(B, A, k1_partfun1(B, A, A, A, D, k9_funcop_1(A, A, C, k6_partfun1(A), E)), k9_funcop_1(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t51_funcop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  (m1_subset_1(C, A) => k3_funct_2(A, A, k9_funcop_1(A, A, B, k6_partfun1(A), C), C)=k4_binop_1(A, B, C, C)) ) ) ) ) ) ).
fof(t52_funcop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [E] :  (m1_subset_1(E, A) =>  (v1_funct_1(k5_funcop_1(C, E, D)) &  (v1_funct_2(k5_funcop_1(C, E, D), B, A) & m1_subset_1(k5_funcop_1(C, E, D), k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_funcop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, B) => k3_funct_2(B, A, k10_funcop_1(A, B, C, E, D), F)=k4_binop_1(A, C, E, k3_funct_2(B, A, D, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_funcop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [F] :  (m1_subset_1(F, A) =>  ( (! [G] :  (m1_subset_1(G, B) => k3_funct_2(B, A, E, G)=k4_binop_1(A, C, F, k3_funct_2(B, A, D, G))) )  => r2_funct_2(B, A, E, k10_funcop_1(A, B, C, F, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_funcop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [E] :  (m1_subset_1(E, A) => r2_funct_2(B, A, k1_partfun1(B, A, A, A, D, k10_funcop_1(A, A, C, E, k6_partfun1(A))), k10_funcop_1(A, B, C, E, D))) ) ) ) ) ) ) ) ) ).
fof(t56_funcop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  (m1_subset_1(C, A) => k3_funct_2(A, A, k10_funcop_1(A, A, B, C, k6_partfun1(A)), C)=k4_binop_1(A, B, C, C)) ) ) ) ) ) ).
fof(t57_funcop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k2_zfmisc_1(B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_zfmisc_1(B, C))))) )  =>  (! [E] :  (m1_subset_1(E, A) => k1_funct_1(k1_funcop_1(D), E)=k4_tarski(k2_xtuple_0(k3_funct_2(A, k2_zfmisc_1(B, C), D, E)), k1_xtuple_0(k3_funct_2(A, k2_zfmisc_1(B, C), D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t58_funcop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k2_zfmisc_1(B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_zfmisc_1(B, C))))) )  => r2_relset_1(C, B, k11_funcop_1(A, C, B, k12_funcop_1(A, B, C, D)), k3_relset_1(B, C, k11_funcop_1(A, B, C, D)))) ) ) ) ) ) ) ) ).
fof(t59_funcop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  (v2_binop_1(C, A) => r2_funct_2(B, A, k9_funcop_1(A, B, C, k10_funcop_1(A, B, C, E, D), F), k10_funcop_1(A, B, C, E, k9_funcop_1(A, B, C, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_funcop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [F] :  (m1_subset_1(F, A) =>  (v2_binop_1(C, A) => r2_funct_2(B, A, k6_funcop_1(A, B, C, k9_funcop_1(A, B, C, D, F), E), k6_funcop_1(A, B, C, D, k10_funcop_1(A, B, C, F, E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_funcop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, B, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (v2_binop_1(C, A) => r2_funct_2(B, A, k6_funcop_1(A, B, C, k6_funcop_1(A, B, C, D, E), F), k6_funcop_1(A, B, C, D, k6_funcop_1(A, B, C, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_funcop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  (v2_binop_1(C, A) => r2_funct_2(B, A, k10_funcop_1(A, B, C, k4_binop_1(A, C, E, F), D), k10_funcop_1(A, B, C, E, k10_funcop_1(A, B, C, F, D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_funcop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  (v2_binop_1(C, A) => r2_funct_2(B, A, k9_funcop_1(A, B, C, D, k4_binop_1(A, C, E, F)), k9_funcop_1(A, B, C, k9_funcop_1(A, B, C, D, E), F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_funcop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [E] :  (m1_subset_1(E, A) =>  (v1_binop_1(C, A) => r2_funct_2(B, A, k10_funcop_1(A, B, C, E, D), k9_funcop_1(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t65_funcop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (v1_binop_1(C, A) => r2_funct_2(B, A, k6_funcop_1(A, B, C, D, E), k6_funcop_1(A, B, C, E, D))) ) ) ) ) ) ) ) ) ) ).
fof(t66_funcop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (v3_binop_1(C, A) => r2_funct_2(B, A, k6_funcop_1(A, B, C, D, D), D)) ) ) ) ) ) ) ) ).
fof(t67_funcop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [E] :  (m1_subset_1(E, B) =>  (v3_binop_1(C, A) => k3_funct_2(B, A, k10_funcop_1(A, B, C, k3_funct_2(B, A, D, E), D), E)=k3_funct_2(B, A, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_funcop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [E] :  (m1_subset_1(E, B) =>  (v3_binop_1(C, A) => k3_funct_2(B, A, k9_funcop_1(A, B, C, D, k3_funct_2(B, A, D, E)), E)=k3_funct_2(B, A, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t69_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_tarski(k2_zfmisc_1(k10_xtuple_0(B), k10_xtuple_0(C)), k9_xtuple_0(A)) => k9_xtuple_0(k3_funcop_1(A, B, C))=k3_xboole_0(k9_xtuple_0(B), k9_xtuple_0(C))) ) ) ) ) ) ) ).
fof(d6_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_funcop_1(A) <=>  (! [B] :  (r2_hidden(B, k9_xtuple_0(A)) =>  (v1_relat_1(k1_funct_1(A, B)) & v1_funct_1(k1_funct_1(A, B))) ) ) ) ) ) ).
fof(t70_funcop_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  (m1_subset_1(E, C) => k2_binop_1(B, C, k1_tarski(A), k7_funcop_1(k2_zfmisc_1(B, C), A), D, E)=A) ) ) ) ) ) ) ) ) ).
fof(d7_funcop_1, axiom,  (! [A] :  (! [B] :  (! [C] : k13_funcop_1(A, B, C)=k7_funcop_1(k1_tarski(k4_tarski(A, B)), C)) ) ) ).
fof(t71_funcop_1, axiom,  (! [A] :  (! [B] :  (! [C] : k1_binop_1(k13_funcop_1(A, B, C), A, B)=C) ) ) ).
fof(d8_funcop_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (A=B => k14_funcop_1(A, B, C, D)=C)  &  ( ~ (A=B)  => k14_funcop_1(A, B, C, D)=D) ) ) ) ) ) ).
fof(d9_funcop_1, axiom,  (! [A] :  (! [B] : k17_funcop_1(A, B)=k7_funcop_1(k1_tarski(A), B)) ) ).
fof(t72_funcop_1, axiom,  (! [A] :  (! [B] : k1_funct_1(k17_funcop_1(A, B), A)=B) ) ).
fof(t73_funcop_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_tarski(k17_funcop_1(A, B), C) <=>  (r2_hidden(A, k9_xtuple_0(C)) & k1_funct_1(C, A)=B) ) ) ) ) ) ).
fof(d10_funcop_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k1_tarski(A), k1_tarski(B)), k1_tarski(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_tarski(A), k1_tarski(B)), k1_tarski(C))))) )  => D=k18_funcop_1(A, B, C)) ) ) ) ) ).
fof(t74_funcop_1, axiom,  (! [A] :  (! [B] : r2_hidden(A, k9_xtuple_0(k17_funcop_1(A, B)))) ) ).
fof(t75_funcop_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_hidden(C, k9_xtuple_0(k17_funcop_1(A, B))) => C=A) ) ) ) ).
fof(t76_funcop_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (r2_hidden(B, A))  => k5_relat_1(k17_funcop_1(B, C), A)=k1_xboole_0) ) ) ) ).
fof(t77_funcop_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k1_tarski(A)) =>  (! [E] :  (m1_subset_1(E, k1_tarski(B)) => k2_binop_1(k1_tarski(A), k1_tarski(B), k1_tarski(C), k18_funcop_1(A, B, C), D, E)=C) ) ) ) ) ) ) ).
fof(t78_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_funct_1(A) &  ~ (v1_xboole_0(A)) ) ) )  =>  (? [B] :  (! [C] :  (r2_hidden(C, k9_xtuple_0(A)) => k1_funct_1(A, C)=B) ) ) ) ) ).
fof(t79_funcop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] : k3_funct_1(k7_funcop_1(A, B))=B) ) ) ).
fof(t80_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) )  => A=k7_funcop_1(k9_xtuple_0(A), k3_funct_1(A))) ) ).
fof(t81_funcop_1, axiom,  (! [A] :  (! [B] :  (! [C] : r1_tarski(k7_relset_1(A, k1_tarski(C), k7_funcop_1(A, C), B), k1_tarski(C))) ) ) ).
fof(t82_funcop_1, axiom,  (! [A] :  (! [B] : r3_wellord1(k1_tarski(k4_tarski(A, A)), k1_tarski(k4_tarski(B, B)), k17_funcop_1(A, B))) ) ).
fof(t83_funcop_1, axiom,  (! [A] :  (! [B] : r4_wellord1(k1_tarski(k4_tarski(A, A)), k1_tarski(k4_tarski(B, B)))) ) ).
fof(t84_funcop_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_hidden(A, k9_xtuple_0(B)) => r1_tarski(k17_funcop_1(A, k1_funct_1(B, A)), B)) ) ) ) ).
fof(t85_funcop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, C, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, A)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, A)))) )  =>  (! [F] :  (m1_subset_1(F, A) =>  (v2_binop_1(B, A) => r2_funct_2(C, A, k6_funcop_1(A, C, B, k10_funcop_1(A, C, B, F, D), E), k10_funcop_1(A, C, B, F, k6_funcop_1(A, C, B, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t86_funcop_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_tarski(A, C) => k5_relat_1(k17_funcop_1(A, B), C)=k17_funcop_1(A, B)) ) ) ) ).
fof(d11_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v2_funcop_1(A) <=>  (! [B] :  (r2_tarski(B, k9_xtuple_0(A)) => v1_relat_1(k1_funct_1(A, B))) ) ) ) ) ).
fof(t87_funcop_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (r1_partfun1(k7_funcop_1(A, C), k7_funcop_1(B, D)) <=>  (C=D | r1_xboole_0(A, B)) ) ) ) ) ) ).
fof(t88_funcop_1, axiom,  (! [A] :  (! [B] : k10_xtuple_0(k17_funcop_1(A, B))=k1_tarski(B)) ) ).
fof(t89_funcop_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (r2_tarski(C, D) => k3_relat_1(k17_funcop_1(B, C), k7_funcop_1(D, A))=k17_funcop_1(B, A)) ) ) ) ) ).
fof(dt_k1_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k1_funcop_1(A)) & v1_funct_1(k1_funcop_1(A))) ) ) ).
fof(involutiveness_k1_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => k1_funcop_1(k1_funcop_1(A))=A) ) ).
fof(dt_k6_funcop_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) ) )  =>  (v1_funct_1(k6_funcop_1(A, B, C, D, E)) &  (v1_funct_2(k6_funcop_1(A, B, C, D, E), B, A) & m1_subset_1(k6_funcop_1(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) ) ).
fof(redefinition_k6_funcop_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) ) )  => k6_funcop_1(A, B, C, D, E)=k3_funcop_1(C, D, E)) ) ).
fof(dt_k7_funcop_1, axiom,  (! [A, B] :  (v1_funct_1(k7_funcop_1(A, B)) &  (v1_funct_2(k7_funcop_1(A, B), A, k1_tarski(B)) & m1_subset_1(k7_funcop_1(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k1_tarski(B))))) ) ) ).
fof(redefinition_k7_funcop_1, axiom,  (! [A, B] : k7_funcop_1(A, B)=k2_funcop_1(A, B)) ).
fof(dt_k8_funcop_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(C, A))  =>  (v1_funct_1(k8_funcop_1(A, B, C)) &  (v1_funct_2(k8_funcop_1(A, B, C), B, A) & m1_subset_1(k8_funcop_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) ) ).
fof(redefinition_k8_funcop_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(C, A))  => k8_funcop_1(A, B, C)=k2_funcop_1(B, C)) ) ).
fof(dt_k9_funcop_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  & m1_subset_1(E, A)) ) )  =>  (v1_funct_1(k9_funcop_1(A, B, C, D, E)) &  (v1_funct_2(k9_funcop_1(A, B, C, D, E), B, A) & m1_subset_1(k9_funcop_1(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) ) ).
fof(redefinition_k9_funcop_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  & m1_subset_1(E, A)) ) )  => k9_funcop_1(A, B, C, D, E)=k4_funcop_1(C, D, E)) ) ).
fof(dt_k10_funcop_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (m1_subset_1(D, A) &  (v1_funct_1(E) &  (v1_funct_2(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) ) )  =>  (v1_funct_1(k10_funcop_1(A, B, C, D, E)) &  (v1_funct_2(k10_funcop_1(A, B, C, D, E), B, A) & m1_subset_1(k10_funcop_1(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) ) ).
fof(redefinition_k10_funcop_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (m1_subset_1(D, A) &  (v1_funct_1(E) &  (v1_funct_2(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) ) )  => k10_funcop_1(A, B, C, D, E)=k5_funcop_1(C, D, E)) ) ).
fof(dt_k11_funcop_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(D) &  (v1_funct_2(D, A, k2_zfmisc_1(B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_zfmisc_1(B, C))))) ) ) ) )  => m1_subset_1(k11_funcop_1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(B, C)))) ) ).
fof(redefinition_k11_funcop_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(D) &  (v1_funct_2(D, A, k2_zfmisc_1(B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_zfmisc_1(B, C))))) ) ) ) )  => k11_funcop_1(A, B, C, D)=k10_xtuple_0(D)) ) ).
fof(dt_k12_funcop_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(D) &  (v1_funct_2(D, A, k2_zfmisc_1(B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_zfmisc_1(B, C))))) ) ) ) )  =>  (v1_funct_1(k12_funcop_1(A, B, C, D)) &  (v1_funct_2(k12_funcop_1(A, B, C, D), A, k2_zfmisc_1(C, B)) & m1_subset_1(k12_funcop_1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, k2_zfmisc_1(C, B))))) ) ) ) ).
fof(involutiveness_k12_funcop_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(D) &  (v1_funct_2(D, A, k2_zfmisc_1(B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_zfmisc_1(B, C))))) ) ) ) )  => k12_funcop_1(A, B, C, k12_funcop_1(A, B, C, D))=D) ) ).
fof(redefinition_k12_funcop_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(D) &  (v1_funct_2(D, A, k2_zfmisc_1(B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_zfmisc_1(B, C))))) ) ) ) )  => k12_funcop_1(A, B, C, D)=k1_funcop_1(D)) ) ).
fof(dt_k13_funcop_1, axiom,  (! [A, B, C] :  (v1_relat_1(k13_funcop_1(A, B, C)) & v1_funct_1(k13_funcop_1(A, B, C))) ) ).
fof(redefinition_k15_funcop_1, axiom,  (! [A, B, C, D] : k15_funcop_1(A, B, C, D)=k14_funcop_1(A, B, C, D)) ).
fof(dt_k16_funcop_1, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(D, A) & m1_subset_1(E, A))  => m1_subset_1(k16_funcop_1(A, B, C, D, E), A)) ) ).
fof(redefinition_k16_funcop_1, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(D, A) & m1_subset_1(E, A))  => k16_funcop_1(A, B, C, D, E)=k14_funcop_1(B, C, D, E)) ) ).
fof(dt_k18_funcop_1, axiom,  (! [A, B, C] :  (v1_funct_1(k18_funcop_1(A, B, C)) &  (v1_funct_2(k18_funcop_1(A, B, C), k2_zfmisc_1(k1_tarski(A), k1_tarski(B)), k1_tarski(C)) & m1_subset_1(k18_funcop_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_tarski(A), k1_tarski(B)), k1_tarski(C))))) ) ) ).
fof(redefinition_k18_funcop_1, axiom,  (! [A, B, C] : k18_funcop_1(A, B, C)=k13_funcop_1(A, B, C)) ).
fof(dt_k19_funcop_1, axiom,  (! [A, B] :  (v1_funct_1(k19_funcop_1(A, B)) &  (v1_funct_2(k19_funcop_1(A, B), k1_tarski(A), k1_tarski(B)) & m1_subset_1(k19_funcop_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_tarski(A), k1_tarski(B))))) ) ) ).
fof(redefinition_k19_funcop_1, axiom,  (! [A, B] : k19_funcop_1(A, B)=k17_funcop_1(A, B)) ).
fof(fc1_funcsdom, axiom,  (! [A] :  (v1_funct_1(k5_funcsdom(A)) &  (v1_funct_2(k5_funcsdom(A), k2_zfmisc_1(k9_funct_2(A, k1_numbers), k9_funct_2(A, k1_numbers)), k9_funct_2(A, k1_numbers)) & v9_valued_2(k5_funcsdom(A))) ) ) ).
fof(fc2_funcsdom, axiom,  (! [A] :  (v1_funct_1(k6_funcsdom(A)) &  (v1_funct_2(k6_funcsdom(A), k2_zfmisc_1(k9_funct_2(A, k1_numbers), k9_funct_2(A, k1_numbers)), k9_funct_2(A, k1_numbers)) & v9_valued_2(k6_funcsdom(A))) ) ) ).
fof(fc3_funcsdom, axiom,  (! [A] :  (v1_funct_1(k7_funcsdom(A)) &  (v1_funct_2(k7_funcsdom(A), k2_zfmisc_1(k1_numbers, k9_funct_2(A, k1_numbers)), k9_funct_2(A, k1_numbers)) & v9_valued_2(k7_funcsdom(A))) ) ) ).
fof(fc4_funcsdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k11_funcsdom(A)))  & v36_algstr_0(k11_funcsdom(A))) ) ) ).
fof(fc5_funcsdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v36_algstr_0(k11_funcsdom(A)) & v1_group_1(k11_funcsdom(A))) ) ) ).
fof(rc1_funcsdom, axiom,  (? [A] :  (l6_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  (v7_struct_0(A) &  (v8_struct_0(A) &  (v13_struct_0(A, 1) &  (v13_algstr_0(A) &  (v36_algstr_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & v5_group_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_funcsdom, axiom,  (? [A] :  (l1_funcsdom(A) & v1_funcsdom(A)) ) ).
fof(rc3_funcsdom, axiom,  (? [A] :  (l1_funcsdom(A) &  ~ (v2_struct_0(A)) ) ) ).
fof(fc6_funcsdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k12_funcsdom(A)))  & v1_funcsdom(k12_funcsdom(A))) ) ) ).
fof(fc7_funcsdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_group_1(k12_funcsdom(A)) & v1_funcsdom(k12_funcsdom(A))) ) ) ).
fof(fc8_funcsdom, axiom,  (! [A] :  ( ~ (v2_struct_0(k12_funcsdom(A)))  & v1_funcsdom(k12_funcsdom(A))) ) ).
fof(fc9_funcsdom, axiom,  (! [A] :  (v13_algstr_0(k12_funcsdom(A)) &  (v1_vectsp_1(k12_funcsdom(A)) &  (v3_vectsp_1(k12_funcsdom(A)) &  (v2_rlvect_1(k12_funcsdom(A)) &  (v3_rlvect_1(k12_funcsdom(A)) &  (v4_rlvect_1(k12_funcsdom(A)) &  (v5_rlvect_1(k12_funcsdom(A)) &  (v6_rlvect_1(k12_funcsdom(A)) &  (v7_rlvect_1(k12_funcsdom(A)) &  (v3_group_1(k12_funcsdom(A)) &  (v5_group_1(k12_funcsdom(A)) &  (v1_funcsdom(k12_funcsdom(A)) & v2_funcsdom(k12_funcsdom(A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc4_funcsdom, axiom,  (? [A] :  (l1_funcsdom(A) &  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_funcsdom(A) & v2_funcsdom(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_funcsdom, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k9_funct_2(A, k1_numbers), k9_funct_2(A, k1_numbers)), k9_funct_2(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, k1_numbers), k9_funct_2(A, k1_numbers)), k9_funct_2(A, k1_numbers))))) )  =>  (B=k5_funcsdom(A) <=>  (! [C] :  (m2_funct_2(C, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [D] :  (m2_funct_2(D, A, k1_numbers, k9_funct_2(A, k1_numbers)) => r2_funct_2(A, k1_numbers, k1_funcsdom(A, k1_numbers, B, C, D), k3_funcsdom(k1_numbers, A, k9_binop_2, C, D))) ) ) ) ) ) ) ) ).
fof(d2_funcsdom, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k9_funct_2(A, k1_numbers), k9_funct_2(A, k1_numbers)), k9_funct_2(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, k1_numbers), k9_funct_2(A, k1_numbers)), k9_funct_2(A, k1_numbers))))) )  =>  (B=k6_funcsdom(A) <=>  (! [C] :  (m2_funct_2(C, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [D] :  (m2_funct_2(D, A, k1_numbers, k9_funct_2(A, k1_numbers)) => r2_funct_2(A, k1_numbers, k1_funcsdom(A, k1_numbers, B, C, D), k3_funcsdom(k1_numbers, A, k11_binop_2, C, D))) ) ) ) ) ) ) ) ).
fof(d3_funcsdom, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k1_numbers, k9_funct_2(A, k1_numbers)), k9_funct_2(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k9_funct_2(A, k1_numbers)), k9_funct_2(A, k1_numbers))))) )  =>  (B=k7_funcsdom(A) <=>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_funct_2(D, A, k1_numbers, k9_funct_2(A, k1_numbers)) => k1_binop_1(B, C, D)=k5_funcop_1(k11_binop_2, C, D)) ) ) ) ) ) ) ) ).
fof(d4_funcsdom, axiom,  (! [A] : k8_funcsdom(A)=k8_funcop_1(k4_ordinal1, A, k5_numbers)) ).
fof(d5_funcsdom, axiom,  (! [A] : k9_funcsdom(A)=k8_funcop_1(k4_ordinal1, A, 1)) ).
fof(t1_funcsdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [D] :  (m2_funct_2(D, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (r2_funct_2(A, k1_numbers, D, k1_funcsdom(A, k1_numbers, k5_funcsdom(A), B, C)) <=>  (! [E] :  (m1_subset_1(E, A) => k3_funct_2(A, k1_numbers, D, E)=k3_real_1(k3_funct_2(A, k1_numbers, B, E), k3_funct_2(A, k1_numbers, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_funcsdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [D] :  (m2_funct_2(D, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (r2_funct_2(A, k1_numbers, D, k1_funcsdom(A, k1_numbers, k6_funcsdom(A), B, C)) <=>  (! [E] :  (m1_subset_1(E, A) => k3_funct_2(A, k1_numbers, D, E)=k4_real_1(k3_funct_2(A, k1_numbers, B, E), k3_funct_2(A, k1_numbers, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_funcsdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (k8_funcsdom(A)=k9_funcsdom(A)) ) ) ).
fof(t4_funcsdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [D] :  (v1_xreal_0(D) =>  (C=k1_funct_1(k7_funcsdom(A), k4_tarski(D, B)) <=>  (! [E] :  (m1_subset_1(E, A) => k3_funct_2(A, k1_numbers, C, E)=k3_xcmplx_0(D, k3_funct_2(A, k1_numbers, B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_funcsdom, axiom,  (! [A] :  (! [B] :  (m2_funct_2(B, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k1_numbers, k9_funct_2(A, k1_numbers)) => r2_funct_2(A, k1_numbers, k1_funcsdom(A, k1_numbers, k5_funcsdom(A), B, C), k1_funcsdom(A, k1_numbers, k5_funcsdom(A), C, B))) ) ) ) ) ).
fof(t6_funcsdom, axiom,  (! [A] :  (! [B] :  (m2_funct_2(B, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [D] :  (m2_funct_2(D, A, k1_numbers, k9_funct_2(A, k1_numbers)) => r2_funct_2(A, k1_numbers, k1_funcsdom(A, k1_numbers, k5_funcsdom(A), B, k1_funcsdom(A, k1_numbers, k5_funcsdom(A), C, D)), k1_funcsdom(A, k1_numbers, k5_funcsdom(A), k1_funcsdom(A, k1_numbers, k5_funcsdom(A), B, C), D))) ) ) ) ) ) ) ).
fof(t7_funcsdom, axiom,  (! [A] :  (! [B] :  (m2_funct_2(B, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k1_numbers, k9_funct_2(A, k1_numbers)) => r2_funct_2(A, k1_numbers, k1_funcsdom(A, k1_numbers, k6_funcsdom(A), B, C), k1_funcsdom(A, k1_numbers, k6_funcsdom(A), C, B))) ) ) ) ) ).
fof(t8_funcsdom, axiom,  (! [A] :  (! [B] :  (m2_funct_2(B, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [D] :  (m2_funct_2(D, A, k1_numbers, k9_funct_2(A, k1_numbers)) => r2_funct_2(A, k1_numbers, k1_funcsdom(A, k1_numbers, k6_funcsdom(A), B, k1_funcsdom(A, k1_numbers, k6_funcsdom(A), C, D)), k1_funcsdom(A, k1_numbers, k6_funcsdom(A), k1_funcsdom(A, k1_numbers, k6_funcsdom(A), B, C), D))) ) ) ) ) ) ) ).
fof(t9_funcsdom, axiom,  (! [A] :  (! [B] :  (m2_funct_2(B, A, k1_numbers, k9_funct_2(A, k1_numbers)) => r2_funct_2(A, k1_numbers, k1_funcsdom(A, k1_numbers, k6_funcsdom(A), k9_funcsdom(A), B), B)) ) ) ).
fof(t10_funcsdom, axiom,  (! [A] :  (! [B] :  (m2_funct_2(B, A, k1_numbers, k9_funct_2(A, k1_numbers)) => r2_funct_2(A, k1_numbers, k1_funcsdom(A, k1_numbers, k5_funcsdom(A), k8_funcsdom(A), B), B)) ) ) ).
fof(t11_funcsdom, axiom,  (! [A] :  (! [B] :  (m2_funct_2(B, A, k1_numbers, k9_funct_2(A, k1_numbers)) => k1_binop_1(k5_funcsdom(A), B, k1_funct_1(k7_funcsdom(A), k4_tarski(k4_xcmplx_0(1), B)))=k8_funcsdom(A)) ) ) ).
fof(t12_funcsdom, axiom,  (! [A] :  (! [B] :  (m2_funct_2(B, A, k1_numbers, k9_funct_2(A, k1_numbers)) => k1_binop_1(k7_funcsdom(A), 1, B)=B) ) ) ).
fof(t13_funcsdom, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (! [D] :  (m2_funct_2(D, C, k1_numbers, k9_funct_2(C, k1_numbers)) => k1_binop_1(k7_funcsdom(C), A, k1_binop_1(k7_funcsdom(C), B, D))=k1_binop_1(k7_funcsdom(C), k3_xcmplx_0(A, B), D)) ) ) ) ) ) ) ).
fof(t14_funcsdom, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (! [D] :  (m2_funct_2(D, C, k1_numbers, k9_funct_2(C, k1_numbers)) => k1_binop_1(k5_funcsdom(C), k1_binop_1(k7_funcsdom(C), A, D), k1_binop_1(k7_funcsdom(C), B, D))=k1_binop_1(k7_funcsdom(C), k2_xcmplx_0(A, B), D)) ) ) ) ) ) ) ).
fof(t15_funcsdom, axiom,  (! [A] :  (! [B] :  (m2_funct_2(B, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [D] :  (m2_funct_2(D, A, k1_numbers, k9_funct_2(A, k1_numbers)) => r2_funct_2(A, k1_numbers, k1_funcsdom(A, k1_numbers, k6_funcsdom(A), B, k1_funcsdom(A, k1_numbers, k5_funcsdom(A), C, D)), k1_funcsdom(A, k1_numbers, k5_funcsdom(A), k1_funcsdom(A, k1_numbers, k6_funcsdom(A), B, C), k1_funcsdom(A, k1_numbers, k6_funcsdom(A), B, D)))) ) ) ) ) ) ) ).
fof(t16_funcsdom, axiom,  (! [A] :  (! [B] :  (m2_funct_2(B, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [D] :  (m2_funct_2(D, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [E] :  (v1_xreal_0(E) => k1_binop_1(k6_funcsdom(A), k1_binop_1(k7_funcsdom(A), E, B), C)=k1_binop_1(k7_funcsdom(A), E, k1_funcsdom(A, k1_numbers, k6_funcsdom(A), B, C))) ) ) ) ) ) ) ) ) ).
fof(t17_funcsdom, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (r2_tarski(A, B) =>  (r2_tarski(k1_funct_4(k8_funcsdom(B), k17_funcop_1(A, 1)), k9_funct_2(B, k1_numbers)) & r2_tarski(k1_funct_4(k9_funcsdom(B), k17_funcop_1(A, k5_numbers)), k9_funct_2(B, k1_numbers))) ) ) ) ) ).
fof(t18_funcsdom, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m2_funct_2(D, C, k1_numbers, k9_funct_2(C, k1_numbers)) =>  (! [E] :  (m2_funct_2(E, C, k1_numbers, k9_funct_2(C, k1_numbers)) =>  ( (r2_tarski(A, C) &  (r2_tarski(B, C) &  (D=k1_funct_4(k8_funcsdom(C), k17_funcop_1(A, 1)) & E=k1_funct_4(k9_funcsdom(C), k17_funcop_1(A, k5_numbers))) ) )  =>  (A=B |  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (k1_binop_1(k5_funcsdom(C), k1_funct_1(k7_funcsdom(C), k4_tarski(F, D)), k1_funct_1(k7_funcsdom(C), k4_tarski(G, E)))=k8_funcsdom(C) =>  (F=k5_numbers & G=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_funcsdom, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m2_funct_2(D, C, k1_numbers, k9_funct_2(C, k1_numbers)) =>  (! [E] :  (m2_funct_2(E, C, k1_numbers, k9_funct_2(C, k1_numbers)) =>  ( (C=k2_tarski(A, B) &  (D=k1_funct_4(k8_funcsdom(C), k17_funcop_1(A, 1)) & E=k1_funct_4(k9_funcsdom(C), k17_funcop_1(A, k5_numbers))) )  =>  (A=B |  (! [F] :  (m2_funct_2(F, C, k1_numbers, k9_funct_2(C, k1_numbers)) =>  (? [G] :  (v1_xreal_0(G) &  (? [H] :  (v1_xreal_0(H) & F=k1_binop_1(k5_funcsdom(C), k1_funct_1(k7_funcsdom(C), k4_tarski(G, D)), k1_funct_1(k7_funcsdom(C), k4_tarski(H, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_funcsdom, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  ~ ( (C=k2_tarski(A, B) &  ( ~ (A=B)  &  (! [D] :  (m2_funct_2(D, C, k1_numbers, k9_funct_2(C, k1_numbers)) =>  (! [E] :  (m2_funct_2(E, C, k1_numbers, k9_funct_2(C, k1_numbers)) =>  ~ ( ( (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (k1_binop_1(k5_funcsdom(C), k1_funct_1(k7_funcsdom(C), k4_tarski(F, D)), k1_funct_1(k7_funcsdom(C), k4_tarski(G, E)))=k8_funcsdom(C) =>  (F=k5_numbers & G=k5_numbers) ) ) ) ) )  &  (! [F] :  (m2_funct_2(F, C, k1_numbers, k9_funct_2(C, k1_numbers)) =>  (? [G] :  (v1_xreal_0(G) &  (? [H] :  (v1_xreal_0(H) & F=k1_binop_1(k5_funcsdom(C), k1_funct_1(k7_funcsdom(C), k4_tarski(G, D)), k1_funct_1(k7_funcsdom(C), k4_tarski(H, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_funcsdom, axiom,  (! [A] : k10_funcsdom(A)=g1_rlvect_1(k9_funct_2(A, k1_numbers), k8_funcsdom(A), k5_funcsdom(A), k7_funcsdom(A))) ).
fof(t23_funcsdom, axiom,  (? [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v1_rlvect_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  &  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  ( (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (k3_rlvect_1(A, k1_rlvect_1(A, B, D), k1_rlvect_1(A, C, E))=k4_struct_0(A) =>  (D=k5_numbers & E=k5_numbers) ) ) ) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (v1_xreal_0(E) &  (? [F] :  (v1_xreal_0(F) & D=k3_rlvect_1(A, k1_rlvect_1(A, B, E), k1_rlvect_1(A, C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_funcsdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k11_funcsdom(A)=g6_algstr_0(k9_funct_2(A, k1_numbers), k5_funcsdom(A), k6_funcsdom(A), k9_funcsdom(A), k8_funcsdom(A))) ) ).
fof(t24_funcsdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k5_struct_0(k11_funcsdom(A))=k9_funcsdom(A)) ) ).
fof(t25_funcsdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k11_funcsdom(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k11_funcsdom(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k11_funcsdom(A))) =>  (k1_algstr_0(k11_funcsdom(A), B, C)=k1_algstr_0(k11_funcsdom(A), C, B) &  (k1_algstr_0(k11_funcsdom(A), k1_algstr_0(k11_funcsdom(A), B, C), D)=k1_algstr_0(k11_funcsdom(A), B, k1_algstr_0(k11_funcsdom(A), C, D)) &  (k1_algstr_0(k11_funcsdom(A), B, k4_struct_0(k11_funcsdom(A)))=B &  ( (? [E] :  (m1_subset_1(E, u1_struct_0(k11_funcsdom(A))) & k1_algstr_0(k11_funcsdom(A), B, E)=k4_struct_0(k11_funcsdom(A))) )  &  (k6_algstr_0(k11_funcsdom(A), B, C)=k6_algstr_0(k11_funcsdom(A), C, B) &  (k6_algstr_0(k11_funcsdom(A), k6_algstr_0(k11_funcsdom(A), B, C), D)=k6_algstr_0(k11_funcsdom(A), B, k6_algstr_0(k11_funcsdom(A), C, D)) &  (k6_algstr_0(k11_funcsdom(A), B, k5_struct_0(k11_funcsdom(A)))=B &  (k6_algstr_0(k11_funcsdom(A), k5_struct_0(k11_funcsdom(A)), B)=B &  (k6_algstr_0(k11_funcsdom(A), B, k1_algstr_0(k11_funcsdom(A), C, D))=k1_algstr_0(k11_funcsdom(A), k6_algstr_0(k11_funcsdom(A), B, C), k6_algstr_0(k11_funcsdom(A), B, D)) & k6_algstr_0(k11_funcsdom(A), k1_algstr_0(k11_funcsdom(A), C, D), B)=k1_algstr_0(k11_funcsdom(A), k6_algstr_0(k11_funcsdom(A), C, B), k6_algstr_0(k11_funcsdom(A), D, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_funcsdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k11_funcsdom(A)))  &  (v13_algstr_0(k11_funcsdom(A)) &  (v4_vectsp_1(k11_funcsdom(A)) &  (v5_vectsp_1(k11_funcsdom(A)) &  (v2_rlvect_1(k11_funcsdom(A)) &  (v3_rlvect_1(k11_funcsdom(A)) &  (v4_rlvect_1(k11_funcsdom(A)) &  (v3_group_1(k11_funcsdom(A)) &  (v5_group_1(k11_funcsdom(A)) & l6_algstr_0(k11_funcsdom(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_funcsdom, axiom,  (! [A] : k12_funcsdom(A)=g1_funcsdom(k9_funct_2(A, k1_numbers), k6_funcsdom(A), k5_funcsdom(A), k7_funcsdom(A), k9_funcsdom(A), k8_funcsdom(A))) ).
fof(t27_funcsdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k5_struct_0(k12_funcsdom(A))=k9_funcsdom(A)) ) ).
fof(d9_funcsdom, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_funcsdom(A))  =>  (v2_funcsdom(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) => k1_rlvect_1(A, k6_algstr_0(A, B, C), D)=k6_algstr_0(A, k1_rlvect_1(A, B, D), C)) ) ) ) ) ) ) ) ) ).
fof(t28_funcsdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k1_numbers, k9_funct_2(A, k1_numbers)) => k1_funcsdom(A, k1_numbers, k5_funcsdom(A), B, C)=k3_valued_1(A, k1_numbers, k1_numbers, B, C)) ) ) ) ) ) ).
fof(t29_funcsdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k1_numbers, k9_funct_2(A, k1_numbers)) => k1_funcsdom(A, k1_numbers, k6_funcsdom(A), B, C)=k20_valued_1(A, k1_numbers, k1_numbers, B, C)) ) ) ) ) ) ).
fof(t30_funcsdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [C] :  (v1_xreal_0(C) => k1_binop_1(k7_funcsdom(A), C, B)=k26_valued_1(A, k1_numbers, B, C)) ) ) ) ) ) ).
fof(dt_k1_funcsdom, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k9_funct_2(A, B), k9_funct_2(A, B)), k9_funct_2(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, B), k9_funct_2(A, B)), k9_funct_2(A, B))))) )  &  (m1_subset_1(D, k9_funct_2(A, B)) & m1_subset_1(E, k9_funct_2(A, B))) ) )  => m2_funct_2(k1_funcsdom(A, B, C, D, E), A, B, k9_funct_2(A, B))) ) ).
fof(redefinition_k1_funcsdom, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k9_funct_2(A, B), k9_funct_2(A, B)), k9_funct_2(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, B), k9_funct_2(A, B)), k9_funct_2(A, B))))) )  &  (m1_subset_1(D, k9_funct_2(A, B)) & m1_subset_1(E, k9_funct_2(A, B))) ) )  => k1_funcsdom(A, B, C, D, E)=k1_binop_1(C, D, E)) ) ).
fof(dt_k2_funcsdom, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(C, D), k9_funct_2(A, B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, D), k9_funct_2(A, B))))) )  & m1_subset_1(F, k2_zfmisc_1(C, D))) ) ) ) )  => m2_funct_2(k2_funcsdom(A, B, C, D, E, F), A, B, k9_funct_2(A, B))) ) ).
fof(redefinition_k2_funcsdom, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(C, D), k9_funct_2(A, B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, D), k9_funct_2(A, B))))) )  & m1_subset_1(F, k2_zfmisc_1(C, D))) ) ) ) )  => k2_funcsdom(A, B, C, D, E, F)=k1_funct_1(E, F)) ) ).
fof(dt_k3_funcsdom, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) ) )  => m2_funct_2(k3_funcsdom(A, B, C, D, E), B, A, k9_funct_2(B, A))) ) ).
fof(redefinition_k3_funcsdom, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) ) )  => k3_funcsdom(A, B, C, D, E)=k3_funcop_1(C, D, E)) ) ).
fof(dt_k4_funcsdom, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (m1_subset_1(D, A) &  (v1_funct_1(E) &  (v1_funct_2(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) ) )  => m2_funct_2(k4_funcsdom(A, B, C, D, E), B, A, k9_funct_2(B, A))) ) ).
fof(redefinition_k4_funcsdom, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (m1_subset_1(D, A) &  (v1_funct_1(E) &  (v1_funct_2(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) ) )  => k4_funcsdom(A, B, C, D, E)=k5_funcop_1(C, D, E)) ) ).
fof(dt_k5_funcsdom, axiom,  (! [A] :  (v1_funct_1(k5_funcsdom(A)) &  (v1_funct_2(k5_funcsdom(A), k2_zfmisc_1(k9_funct_2(A, k1_numbers), k9_funct_2(A, k1_numbers)), k9_funct_2(A, k1_numbers)) & m1_subset_1(k5_funcsdom(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, k1_numbers), k9_funct_2(A, k1_numbers)), k9_funct_2(A, k1_numbers))))) ) ) ).
fof(dt_k6_funcsdom, axiom,  (! [A] :  (v1_funct_1(k6_funcsdom(A)) &  (v1_funct_2(k6_funcsdom(A), k2_zfmisc_1(k9_funct_2(A, k1_numbers), k9_funct_2(A, k1_numbers)), k9_funct_2(A, k1_numbers)) & m1_subset_1(k6_funcsdom(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, k1_numbers), k9_funct_2(A, k1_numbers)), k9_funct_2(A, k1_numbers))))) ) ) ).
fof(dt_k7_funcsdom, axiom,  (! [A] :  (v1_funct_1(k7_funcsdom(A)) &  (v1_funct_2(k7_funcsdom(A), k2_zfmisc_1(k1_numbers, k9_funct_2(A, k1_numbers)), k9_funct_2(A, k1_numbers)) & m1_subset_1(k7_funcsdom(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k9_funct_2(A, k1_numbers)), k9_funct_2(A, k1_numbers))))) ) ) ).
fof(dt_k8_funcsdom, axiom,  (! [A] : m2_funct_2(k8_funcsdom(A), A, k1_numbers, k9_funct_2(A, k1_numbers))) ).
fof(dt_k9_funcsdom, axiom,  (! [A] : m2_funct_2(k9_funcsdom(A), A, k1_numbers, k9_funct_2(A, k1_numbers))) ).
fof(dt_k10_funcsdom, axiom,  (! [A] :  ( ~ (v2_struct_0(k10_funcsdom(A)))  &  (v13_algstr_0(k10_funcsdom(A)) &  (v1_rlvect_1(k10_funcsdom(A)) &  (v2_rlvect_1(k10_funcsdom(A)) &  (v3_rlvect_1(k10_funcsdom(A)) &  (v4_rlvect_1(k10_funcsdom(A)) &  (v5_rlvect_1(k10_funcsdom(A)) &  (v6_rlvect_1(k10_funcsdom(A)) &  (v7_rlvect_1(k10_funcsdom(A)) &  (v8_rlvect_1(k10_funcsdom(A)) & l1_rlvect_1(k10_funcsdom(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k11_funcsdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v36_algstr_0(k11_funcsdom(A)) & l6_algstr_0(k11_funcsdom(A))) ) ) ).
fof(abstractness_v1_funcsdom, axiom,  (! [A] :  (l1_funcsdom(A) =>  (v1_funcsdom(A) => A=g1_funcsdom(u1_struct_0(A), u2_algstr_0(A), u1_algstr_0(A), u1_rlvect_1(A), u3_struct_0(A), u2_struct_0(A))) ) ) ).
fof(dt_l1_funcsdom, axiom,  (! [A] :  (l1_funcsdom(A) =>  (l6_algstr_0(A) & l1_rlvect_1(A)) ) ) ).
fof(existence_l1_funcsdom, axiom,  (? [A] : l1_funcsdom(A)) ).
fof(dt_g1_funcsdom, axiom,  (! [A, B, C, D, E, F] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k1_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, A), A)))) )  &  (m1_subset_1(E, A) & m1_subset_1(F, A)) ) ) )  =>  (v1_funcsdom(g1_funcsdom(A, B, C, D, E, F)) & l1_funcsdom(g1_funcsdom(A, B, C, D, E, F))) ) ) ).
fof(free_g1_funcsdom, axiom,  (! [A, B, C, D, E, F] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k1_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, A), A)))) )  &  (m1_subset_1(E, A) & m1_subset_1(F, A)) ) ) )  =>  (! [G, H, I, J, K, L] :  (g1_funcsdom(A, B, C, D, E, F)=g1_funcsdom(G, H, I, J, K, L) =>  (A=G &  (B=H &  (C=I &  (D=J &  (E=K & F=L) ) ) ) ) ) ) ) ) ).
fof(dt_k12_funcsdom, axiom,  (! [A] :  (v1_funcsdom(k12_funcsdom(A)) & l1_funcsdom(k12_funcsdom(A))) ) ).
fof(cc1_funct_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_funct_1(A)) ) ).
fof(rc1_funct_1, axiom,  (? [A] :  (v1_relat_1(A) & v1_funct_1(A)) ) ).
fof(fc1_funct_1, axiom,  (! [A, B] : v1_funct_1(k1_tarski(k4_tarski(A, B)))) ).
fof(fc2_funct_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v1_funct_1(k3_relat_1(A, B))) ) ) ).
fof(fc3_funct_1, axiom,  (! [A] :  (v1_relat_1(k4_relat_1(A)) & v1_funct_1(k4_relat_1(A))) ) ).
fof(fc4_funct_1, axiom,  (! [A] :  (v1_relat_1(k4_relat_1(A)) & v2_funct_1(k4_relat_1(A))) ) ).
fof(cc2_funct_1, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) ) ) ) ).
fof(rc2_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) ) ) ).
fof(fc5_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) )  =>  (v1_relat_1(k2_relat_1(A)) & v1_funct_1(k2_relat_1(A))) ) ) ).
fof(fc6_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) )  =>  (v1_relat_1(k2_funct_1(A)) &  (v1_funct_1(k2_funct_1(A)) & v2_funct_1(k2_funct_1(A))) ) ) ) ).
fof(fc7_funct_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v2_funct_1(B)) ) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v2_funct_1(k3_relat_1(A, B))) ) ) ).
fof(fc8_funct_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v1_funct_1(k5_relat_1(A, B))) ) ) ).
fof(fc9_funct_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (v1_relat_1(k6_relat_1(A, B)) & v1_funct_1(k6_relat_1(A, B))) ) ) ).
fof(rc3_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) ) ) ).
fof(fc10_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) )  => v1_setfam_1(k10_xtuple_0(A))) ) ).
fof(rc4_funct_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) ) ) ) ).
fof(fc11_funct_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  =>  ~ (v1_xboole_0(k1_funct_1(A, B))) ) ) ).
fof(cc3_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_funct_1(B)) ) ) ) ).
fof(cc4_funct_1, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) ) ) ) ).
fof(fc12_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) )  => v1_zfmisc_1(k10_xtuple_0(A))) ) ).
fof(rc5_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v3_funct_1(A)) ) ) ) ).
fof(fc13_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v3_funct_1(A)) ) )  =>  ~ (v1_zfmisc_1(k10_xtuple_0(A))) ) ) ).
fof(cc5_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v3_funct_1(A)) ) )  =>  ( ~ (v1_zfmisc_1(A))  &  (v1_relat_1(A) & v1_funct_1(A)) ) ) ) ).
fof(cc6_funct_1, axiom,  (! [A] :  ( (v1_zfmisc_1(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) ) ) ) ).
fof(rc6_funct_1, axiom,  (! [A, B] :  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) & v1_funct_1(C)) ) ) ) ) ).
fof(cc7_funct_1, axiom,  (! [A] :  (v1_xboole_0(A) => v4_funct_1(A)) ) ).
fof(fc14_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v4_funct_1(k1_tarski(A))) ) ).
fof(fc15_funct_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  => v4_funct_1(k2_tarski(A, B))) ) ).
fof(rc7_funct_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v4_funct_1(A)) ) ).
fof(cc8_funct_1, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  (m1_subset_1(B, A) =>  (v1_relat_1(B) & v1_funct_1(B)) ) ) ) ) ).
fof(cc9_funct_1, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_funct_1(B)) ) ) ) ).
fof(rc8_funct_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (? [C] :  (v1_xboole_0(C) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v5_funct_1(C, B)) ) ) ) ) ) ) ).
fof(fc16_funct_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v1_funct_1(B))  &  (v1_relat_1(C) &  (v1_funct_1(C) & v5_funct_1(C, B)) ) )  =>  (v1_relat_1(k5_relat_1(C, A)) & v5_funct_1(k5_relat_1(C, A), B)) ) ) ).
fof(rc9_funct_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) & v1_funct_1(B)) ) ) ) ) ).
fof(cc10_funct_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) & v1_funct_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v5_funct_1(C, B)) )  =>  (v1_relat_1(C) &  (v4_relat_1(C, A) & v1_funct_1(C)) ) ) ) ) ) ).
fof(fc17_funct_1, axiom,  (! [A, B, C] :  ( (v4_funct_1(A) &  (v1_relat_1(C) &  (v5_relat_1(C, A) & v1_funct_1(C)) ) )  =>  (v1_relat_1(k1_funct_1(C, B)) & v1_funct_1(k1_funct_1(C, B))) ) ) ).
fof(fc18_funct_1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  ~ (v1_zfmisc_1(k9_xtuple_0(A))) ) ) ).
fof(fc19_funct_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v3_relat_1(A) & v1_funct_1(A)) )  => v1_xboole_0(k1_funct_1(A, B))) ) ).
fof(rd1_funct_1, axiom,  (! [A, B] :  (m1_subset_1(B, A) => k1_funct_1(k4_relat_1(A), B)=B) ) ).
fof(d1_funct_1, axiom,  (! [A] :  (v1_funct_1(A) <=>  (! [B] :  (! [C] :  (! [D] :  ( (r2_hidden(k4_tarski(B, C), A) & r2_hidden(k4_tarski(B, D), A))  => C=D) ) ) ) ) ) ).
fof(d2_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  ( (r2_hidden(B, k9_xtuple_0(A)) =>  (C=k1_funct_1(A, B) <=> r2_hidden(k4_tarski(B, C), A)) )  &  ( ~ (r2_hidden(B, k9_xtuple_0(A)))  =>  (C=k1_funct_1(A, B) <=> C=k1_xboole_0) ) ) ) ) ) ) ).
fof(t1_funct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r2_hidden(k4_tarski(A, B), C) <=>  (r2_hidden(A, k9_xtuple_0(C)) & B=k1_funct_1(C, A)) ) ) ) ) ) ).
fof(t2_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (k9_xtuple_0(A)=k9_xtuple_0(B) &  (! [C] :  (r2_hidden(C, k9_xtuple_0(A)) => k1_funct_1(A, C)=k1_funct_1(B, C)) ) )  => A=B) ) ) ) ) ).
fof(d3_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (B=k10_xtuple_0(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  (? [D] :  (r2_hidden(D, k9_xtuple_0(A)) & C=k1_funct_1(A, D)) ) ) ) ) ) ) ) ).
fof(t3_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_hidden(A, k9_xtuple_0(B)) => r2_tarski(k1_funct_1(B, A), k10_xtuple_0(B))) ) ) ) ).
fof(t4_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (k9_xtuple_0(B)=k1_tarski(A) => k10_xtuple_0(B)=k1_tarski(k1_funct_1(B, A))) ) ) ) ).
fof(t5_funct_1, axiom,  (! [A] :  ( ~ (A=k1_xboole_0)  =>  (! [B] :  (? [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  &  (k9_xtuple_0(C)=A & k10_xtuple_0(C)=k1_tarski(B)) ) ) ) ) ) ).
fof(t6_funct_1, axiom,  (! [A] :  ( (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (k9_xtuple_0(B)=A & k9_xtuple_0(C)=A)  => B=C) ) ) ) )  => A=k1_xboole_0) ) ).
fof(t7_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (k9_xtuple_0(B)=k9_xtuple_0(C) &  (k10_xtuple_0(B)=k1_tarski(A) & k10_xtuple_0(C)=k1_tarski(A)) )  => B=C) ) ) ) ) ) ).
fof(t8_funct_1, axiom,  (! [A] :  (! [B] :  ~ ( ( ~ ( (B=k1_xboole_0 &  ~ (A=k1_xboole_0) ) )  &  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ~ ( (A=k9_xtuple_0(C) & r1_tarski(k10_xtuple_0(C), B)) ) ) ) ) ) ) ) ).
fof(t9_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (! [C] :  ~ ( (r2_hidden(C, A) &  (! [D] :  ~ ( (r2_hidden(D, k9_xtuple_0(B)) & C=k1_funct_1(B, D)) ) ) ) ) )  => r1_tarski(A, k10_xtuple_0(B))) ) ) ) ).
fof(t10_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( ( (! [D] :  (r2_hidden(D, k9_xtuple_0(C)) <=>  (r2_hidden(D, k9_xtuple_0(A)) & r2_tarski(k1_funct_1(A, D), k9_xtuple_0(B))) ) )  &  (! [D] :  (r2_hidden(D, k9_xtuple_0(C)) => k1_funct_1(C, D)=k1_funct_1(B, k1_funct_1(A, D))) ) )  => C=k3_relat_1(A, B)) ) ) ) ) ) ) ).
fof(t11_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r2_hidden(A, k9_xtuple_0(k3_relat_1(B, C))) <=>  (r2_hidden(A, k9_xtuple_0(B)) & r2_tarski(k1_funct_1(B, A), k9_xtuple_0(C))) ) ) ) ) ) ) ).
fof(t12_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r2_hidden(A, k9_xtuple_0(k3_relat_1(B, C))) => k1_funct_1(k3_relat_1(B, C), A)=k1_funct_1(C, k1_funct_1(B, A))) ) ) ) ) ) ).
fof(t13_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r2_hidden(A, k9_xtuple_0(B)) => k1_funct_1(k3_relat_1(B, C), A)=k1_funct_1(C, k1_funct_1(B, A))) ) ) ) ) ) ).
fof(t14_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r2_hidden(A, k10_xtuple_0(k3_relat_1(B, C))) => r2_hidden(A, k10_xtuple_0(C))) ) ) ) ) ) ).
fof(t15_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (k9_xtuple_0(k3_relat_1(A, B))=k9_xtuple_0(A) => r1_tarski(k10_xtuple_0(A), k9_xtuple_0(B))) ) ) ) ) ).
fof(t16_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (r1_tarski(k10_xtuple_0(B), A) &  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (k9_xtuple_0(C)=A &  (k9_xtuple_0(D)=A & k3_relat_1(B, C)=k3_relat_1(B, D)) )  => C=D) ) ) ) ) )  => A=k10_xtuple_0(B)) ) ) ) ).
fof(t17_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (B=k4_relat_1(A) <=>  (k9_xtuple_0(B)=A &  (! [C] :  (r2_hidden(C, A) => k1_funct_1(B, C)=C) ) ) ) ) ) ) ).
fof(t18_funct_1, axiom,  (! [A] :  (! [B] :  (r2_hidden(B, A) => k1_funct_1(k4_relat_1(A), B)=B) ) ) ).
fof(t19_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => k9_xtuple_0(k3_relat_1(k4_relat_1(A), B))=k3_xboole_0(k9_xtuple_0(B), A)) ) ) ).
fof(t20_funct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r2_hidden(B, k3_xboole_0(k9_xtuple_0(C), A)) => k1_funct_1(C, B)=k1_funct_1(k3_relat_1(k4_relat_1(A), C), B)) ) ) ) ) ).
fof(t21_funct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r2_hidden(B, k9_xtuple_0(k3_relat_1(C, k4_relat_1(A)))) <=>  (r2_hidden(B, k9_xtuple_0(C)) & r2_tarski(k1_funct_1(C, B), A)) ) ) ) ) ) ).
fof(t22_funct_1, axiom,  (! [A] :  (! [B] : k3_relat_1(k4_relat_1(B), k4_relat_1(A))=k4_relat_1(k3_xboole_0(A, B))) ) ).
fof(t23_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (k10_xtuple_0(A)=k9_xtuple_0(B) & k3_relat_1(A, B)=A)  => B=k4_relat_1(k9_xtuple_0(B))) ) ) ) ) ).
fof(d4_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v2_funct_1(A) <=>  (! [B] :  (! [C] :  ( (r2_hidden(B, k9_xtuple_0(A)) &  (r2_hidden(C, k9_xtuple_0(A)) & k1_funct_1(A, B)=k1_funct_1(A, C)) )  => B=C) ) ) ) ) ) ).
fof(t24_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (v2_funct_1(A) & v2_funct_1(B))  => v2_funct_1(k3_relat_1(A, B))) ) ) ) ) ).
fof(t25_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (v2_funct_1(k3_relat_1(A, B)) & r1_tarski(k10_xtuple_0(A), k9_xtuple_0(B)))  => v2_funct_1(A)) ) ) ) ) ).
fof(t26_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (v2_funct_1(k3_relat_1(A, B)) & k10_xtuple_0(A)=k9_xtuple_0(B))  =>  (v2_funct_1(A) & v2_funct_1(B)) ) ) ) ) ) ).
fof(t27_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v2_funct_1(A) <=>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r1_tarski(k10_xtuple_0(B), k9_xtuple_0(A)) &  (r1_tarski(k10_xtuple_0(C), k9_xtuple_0(A)) &  (k9_xtuple_0(B)=k9_xtuple_0(C) & k3_relat_1(B, A)=k3_relat_1(C, A)) ) )  => B=C) ) ) ) ) ) ) ) ).
fof(t28_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (k9_xtuple_0(B)=A &  (k9_xtuple_0(C)=A &  (r1_tarski(k10_xtuple_0(C), A) &  (v2_funct_1(B) & k3_relat_1(C, B)=B) ) ) )  => C=k4_relat_1(A)) ) ) ) ) ) ).
fof(t29_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (k10_xtuple_0(k3_relat_1(A, B))=k10_xtuple_0(B) & v2_funct_1(B))  => r1_tarski(k9_xtuple_0(B), k10_xtuple_0(A))) ) ) ) ) ).
fof(t31_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  ( (? [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  & k3_relat_1(A, B)=k4_relat_1(k9_xtuple_0(A))) )  => v2_funct_1(A)) ) ) ).
fof(d5_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v2_funct_1(A) => k2_funct_1(A)=k2_relat_1(A)) ) ) ).
fof(t32_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v2_funct_1(A) =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (B=k2_funct_1(A) <=>  (k9_xtuple_0(B)=k10_xtuple_0(A) &  (! [C] :  (! [D] :  ( ( (r2_hidden(C, k10_xtuple_0(A)) & D=k1_funct_1(B, C))  =>  (r2_hidden(D, k9_xtuple_0(A)) & C=k1_funct_1(A, D)) )  &  ( (r2_hidden(D, k9_xtuple_0(A)) & C=k1_funct_1(A, D))  =>  (r2_hidden(C, k10_xtuple_0(A)) & D=k1_funct_1(B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v2_funct_1(A) =>  (k10_xtuple_0(A)=k9_xtuple_0(k2_funct_1(A)) & k9_xtuple_0(A)=k10_xtuple_0(k2_funct_1(A))) ) ) ) ).
fof(t34_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (v2_funct_1(B) & r2_hidden(A, k9_xtuple_0(B)))  =>  (A=k1_funct_1(k2_funct_1(B), k1_funct_1(B, A)) & A=k1_funct_1(k3_relat_1(B, k2_funct_1(B)), A)) ) ) ) ) ).
fof(t35_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (v2_funct_1(B) & r2_hidden(A, k10_xtuple_0(B)))  =>  (A=k1_funct_1(B, k1_funct_1(k2_funct_1(B), A)) & A=k1_funct_1(k3_relat_1(k2_funct_1(B), B), A)) ) ) ) ) ).
fof(t36_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v2_funct_1(A) =>  (k9_xtuple_0(k3_relat_1(A, k2_funct_1(A)))=k9_xtuple_0(A) & k10_xtuple_0(k3_relat_1(A, k2_funct_1(A)))=k9_xtuple_0(A)) ) ) ) ).
fof(t37_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v2_funct_1(A) =>  (k9_xtuple_0(k3_relat_1(k2_funct_1(A), A))=k10_xtuple_0(A) & k10_xtuple_0(k3_relat_1(k2_funct_1(A), A))=k10_xtuple_0(A)) ) ) ) ).
fof(t38_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (v2_funct_1(A) &  (k9_xtuple_0(A)=k10_xtuple_0(B) &  (k10_xtuple_0(A)=k9_xtuple_0(B) &  (! [C] :  (! [D] :  ( (r2_hidden(C, k9_xtuple_0(A)) & r2_hidden(D, k9_xtuple_0(B)))  =>  (k1_funct_1(A, C)=D <=> k1_funct_1(B, D)=C) ) ) ) ) ) )  => B=k2_funct_1(A)) ) ) ) ) ).
fof(t39_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v2_funct_1(A) =>  (k3_relat_1(A, k2_funct_1(A))=k4_relat_1(k9_xtuple_0(A)) & k3_relat_1(k2_funct_1(A), A)=k4_relat_1(k10_xtuple_0(A))) ) ) ) ).
fof(t40_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v2_funct_1(A) => v2_funct_1(k2_funct_1(A))) ) ) ).
fof(t41_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (v2_funct_1(A) &  (k10_xtuple_0(A)=k9_xtuple_0(B) & k3_relat_1(A, B)=k4_relat_1(k9_xtuple_0(A))) )  => B=k2_funct_1(A)) ) ) ) ) ).
fof(t42_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (v2_funct_1(A) &  (k10_xtuple_0(B)=k9_xtuple_0(A) & k3_relat_1(B, A)=k4_relat_1(k10_xtuple_0(A))) )  => B=k2_funct_1(A)) ) ) ) ) ).
fof(t43_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v2_funct_1(A) => k2_funct_1(k2_funct_1(A))=A) ) ) ).
fof(t44_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (v2_funct_1(A) & v2_funct_1(B))  => k2_funct_1(k3_relat_1(A, B))=k3_relat_1(k2_funct_1(B), k2_funct_1(A))) ) ) ) ) ).
fof(t45_funct_1, axiom,  (! [A] : k2_funct_1(k4_relat_1(A))=k4_relat_1(A)) ).
fof(t46_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (k9_xtuple_0(C)=k3_xboole_0(k9_xtuple_0(B), A) &  (! [D] :  (r2_hidden(D, k9_xtuple_0(C)) => k1_funct_1(C, D)=k1_funct_1(B, D)) ) )  => C=k5_relat_1(B, A)) ) ) ) ) ) ).
fof(t47_funct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r2_hidden(B, k9_xtuple_0(k5_relat_1(C, A))) => k1_funct_1(k5_relat_1(C, A), B)=k1_funct_1(C, B)) ) ) ) ) ).
fof(t48_funct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r2_hidden(B, k3_xboole_0(k9_xtuple_0(C), A)) => k1_funct_1(k5_relat_1(C, A), B)=k1_funct_1(C, B)) ) ) ) ) ).
fof(t49_funct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r2_hidden(B, A) => k1_funct_1(k5_relat_1(C, A), B)=k1_funct_1(C, B)) ) ) ) ) ).
fof(t50_funct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r2_hidden(B, k9_xtuple_0(C)) & r2_hidden(B, A))  => r2_tarski(k1_funct_1(C, B), k10_xtuple_0(k5_relat_1(C, A)))) ) ) ) ) ).
fof(t51_funct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_tarski(A, B) =>  (k5_relat_1(k5_relat_1(C, A), B)=k5_relat_1(C, A) & k5_relat_1(k5_relat_1(C, B), A)=k5_relat_1(C, A)) ) ) ) ) ) ).
fof(t52_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (v2_funct_1(B) => v2_funct_1(k5_relat_1(B, A))) ) ) ) ).
fof(t53_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k6_relat_1(A, B) <=>  ( (! [D] :  (r2_hidden(D, k9_xtuple_0(C)) <=>  (r2_hidden(D, k9_xtuple_0(B)) & r2_tarski(k1_funct_1(B, D), A)) ) )  &  (! [D] :  (r2_hidden(D, k9_xtuple_0(C)) => k1_funct_1(C, D)=k1_funct_1(B, D)) ) ) ) ) ) ) ) ) ).
fof(t54_funct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r2_hidden(B, k9_xtuple_0(k6_relat_1(A, C))) <=>  (r2_hidden(B, k9_xtuple_0(C)) & r2_tarski(k1_funct_1(C, B), A)) ) ) ) ) ) ).
fof(t55_funct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r2_hidden(B, k9_xtuple_0(k6_relat_1(A, C))) => k1_funct_1(k6_relat_1(A, C), B)=k1_funct_1(C, B)) ) ) ) ) ).
fof(t56_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => r1_tarski(k9_xtuple_0(k6_relat_1(A, B)), k9_xtuple_0(B))) ) ) ).
fof(t57_funct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_tarski(A, B) =>  (k6_relat_1(B, k6_relat_1(A, C))=k6_relat_1(A, C) & k6_relat_1(A, k6_relat_1(B, C))=k6_relat_1(A, C)) ) ) ) ) ) ).
fof(t58_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (v2_funct_1(B) => v2_funct_1(k6_relat_1(A, B))) ) ) ) ).
fof(d6_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (C=k7_relat_1(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (? [E] :  (r2_hidden(E, k9_xtuple_0(A)) &  (r2_hidden(E, B) & D=k1_funct_1(A, E)) ) ) ) ) ) ) ) ) ) ).
fof(t59_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_hidden(A, k9_xtuple_0(B)) => k9_relat_1(B, A)=k1_tarski(k1_funct_1(B, A))) ) ) ) ).
fof(t60_funct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r2_hidden(A, k9_xtuple_0(C)) & r2_hidden(B, k9_xtuple_0(C)))  => k7_relat_1(C, k2_tarski(A, B))=k2_tarski(k1_funct_1(C, A), k1_funct_1(C, B))) ) ) ) ) ).
fof(t61_funct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => r1_tarski(k7_relat_1(k6_relat_1(B, C), A), k7_relat_1(C, A))) ) ) ) ).
fof(t62_funct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (v2_funct_1(C) => k7_relat_1(C, k3_xboole_0(A, B))=k3_xboole_0(k7_relat_1(C, A), k7_relat_1(C, B))) ) ) ) ) ).
fof(t63_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  ( (! [B] :  (! [C] : k7_relat_1(A, k3_xboole_0(B, C))=k3_xboole_0(k7_relat_1(A, B), k7_relat_1(A, C))) )  => v2_funct_1(A)) ) ) ).
fof(t64_funct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (v2_funct_1(C) => k7_relat_1(C, k6_subset_1(A, B))=k6_subset_1(k7_relat_1(C, A), k7_relat_1(C, B))) ) ) ) ) ).
fof(t65_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  ( (! [B] :  (! [C] : k7_relat_1(A, k6_subset_1(B, C))=k6_subset_1(k7_relat_1(A, B), k7_relat_1(A, C))) )  => v2_funct_1(A)) ) ) ).
fof(t66_funct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r1_xboole_0(A, B) & v2_funct_1(C))  => r1_xboole_0(k7_relat_1(C, A), k7_relat_1(C, B))) ) ) ) ) ).
fof(t67_funct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => k7_relat_1(k6_relat_1(B, C), A)=k3_xboole_0(B, k7_relat_1(C, A))) ) ) ) ).
fof(d7_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (C=k8_relat_1(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (r2_hidden(D, k9_xtuple_0(A)) & r2_tarski(k1_funct_1(A, D), B)) ) ) ) ) ) ) ) ).
fof(t68_funct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => k8_relat_1(C, k3_xboole_0(A, B))=k3_xboole_0(k8_relat_1(C, A), k8_relat_1(C, B))) ) ) ) ).
fof(t69_funct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => k8_relat_1(C, k6_subset_1(A, B))=k6_subset_1(k8_relat_1(C, A), k8_relat_1(C, B))) ) ) ) ).
fof(t70_funct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) => k8_relat_1(k5_relat_1(C, A), B)=k3_xboole_0(A, k8_relat_1(C, B))) ) ) ) ).
fof(t71_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (r1_xboole_0(B, C) => r1_xboole_0(k8_relat_1(A, B), k8_relat_1(A, C))) ) ) ) ) ).
fof(t72_funct_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (r2_hidden(A, k10_xtuple_0(B)) <=>  ~ (k8_relat_1(B, k1_tarski(A))=k1_xboole_0) ) ) ) ) ).
fof(t73_funct_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  ( (! [C] :  ~ ( (r2_hidden(C, A) & k8_relat_1(B, k1_tarski(C))=k1_xboole_0) ) )  => r1_tarski(A, k10_xtuple_0(B))) ) ) ) ).
fof(t74_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  ( (! [B] :  ~ ( (r2_hidden(B, k10_xtuple_0(A)) &  (! [C] :  ~ (k8_relat_1(A, k1_tarski(B))=k1_tarski(C)) ) ) ) )  <=> v2_funct_1(A)) ) ) ).
fof(t75_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => r1_tarski(k7_relat_1(B, k8_relat_1(B, A)), A)) ) ) ).
fof(t76_funct_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (r1_tarski(A, k9_xtuple_0(B)) => r1_tarski(A, k8_relat_1(B, k7_relat_1(B, A)))) ) ) ) ).
fof(t77_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_tarski(A, k10_xtuple_0(B)) => k7_relat_1(B, k8_relat_1(B, A))=A) ) ) ) ).
fof(t78_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => k7_relat_1(B, k8_relat_1(B, A))=k3_xboole_0(A, k7_relat_1(B, k9_xtuple_0(B)))) ) ) ).
fof(t79_funct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => r1_tarski(k7_relat_1(C, k3_xboole_0(A, k8_relat_1(C, B))), k3_xboole_0(k7_relat_1(C, A), B))) ) ) ) ).
fof(t80_funct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => k7_relat_1(C, k3_xboole_0(A, k8_relat_1(C, B)))=k3_xboole_0(k7_relat_1(C, A), B)) ) ) ) ).
fof(t81_funct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) => r1_tarski(k3_xboole_0(A, k8_relat_1(C, B)), k8_relat_1(C, k3_xboole_0(k7_relat_1(C, A), B)))) ) ) ) ).
fof(t82_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (v2_funct_1(B) => r1_tarski(k8_relat_1(B, k7_relat_1(B, A)), A)) ) ) ) ).
fof(t83_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  ( (! [B] : r1_tarski(k8_relat_1(A, k7_relat_1(A, B)), B))  => v2_funct_1(A)) ) ) ).
fof(t84_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (v2_funct_1(B) => k7_relat_1(B, A)=k8_relat_1(k2_funct_1(B), A)) ) ) ) ).
fof(t85_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (v2_funct_1(B) => k8_relat_1(B, A)=k7_relat_1(k2_funct_1(B), A)) ) ) ) ).
fof(t86_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (A=k10_xtuple_0(B) &  (k9_xtuple_0(C)=A &  (k9_xtuple_0(D)=A & k3_relat_1(B, C)=k3_relat_1(B, D)) ) )  => C=D) ) ) ) ) ) ) ) ).
fof(t87_funct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r1_tarski(k7_relat_1(C, A), k7_relat_1(C, B)) &  (r1_tarski(A, k9_xtuple_0(C)) & v2_funct_1(C)) )  => r1_tarski(A, B)) ) ) ) ) ).
fof(t88_funct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r1_tarski(k8_relat_1(C, A), k8_relat_1(C, B)) & r1_tarski(A, k10_xtuple_0(C)))  => r1_tarski(A, B)) ) ) ) ) ).
fof(t89_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v2_funct_1(A) <=>  (! [B] :  (? [C] : r1_tarski(k8_relat_1(A, k1_tarski(B)), k1_tarski(C))) ) ) ) ) ).
fof(t90_funct_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v1_relat_1(C) =>  (r1_tarski(k10_xtuple_0(B), k9_xtuple_0(C)) => r1_tarski(k8_relat_1(B, A), k8_relat_1(k3_relat_1(B, C), k7_relat_1(C, A)))) ) ) ) ) ) ).
fof(t91_funct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (k8_relat_1(C, A)=k8_relat_1(C, B) &  (r1_tarski(A, k10_xtuple_0(C)) & r1_tarski(B, k10_xtuple_0(C))) )  => A=B) ) ) ) ) ).
fof(t92_funct_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k7_relat_1(k4_relat_1(A), B)=B) ) ) ).
fof(d8_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v3_relat_1(A) <=>  (! [B] :  (r2_hidden(B, k9_xtuple_0(A)) => v1_xboole_0(k1_funct_1(A, B))) ) ) ) ) ).
fof(d9_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v2_relat_1(A) <=>  (! [B] :  ~ ( (r2_hidden(B, k9_xtuple_0(A)) & v1_xboole_0(k1_funct_1(A, B))) ) ) ) ) ) ).
fof(d10_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v3_funct_1(A) <=>  (! [B] :  (! [C] :  ( (r2_hidden(B, k9_xtuple_0(A)) & r2_hidden(C, k9_xtuple_0(A)))  => k1_funct_1(A, B)=k1_funct_1(A, C)) ) ) ) ) ) ).
fof(t93_funct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r1_tarski(A, k9_xtuple_0(C)) & r1_tarski(k7_relat_1(C, A), B))  => r1_tarski(A, k8_relat_1(C, B))) ) ) ) ) ).
fof(t94_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (r1_tarski(A, k9_xtuple_0(B)) & v2_funct_1(B))  => k8_relat_1(B, k7_relat_1(B, A))=A) ) ) ) ).
fof(d11_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (A=B <=>  (k9_xtuple_0(A)=k9_xtuple_0(B) &  (! [C] :  (r2_hidden(C, k9_xtuple_0(A)) => k1_funct_1(A, C)=k1_funct_1(B, C)) ) ) ) ) ) ) ) ).
fof(t95_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (r1_tarski(C, k9_xtuple_0(A)) & r1_tarski(C, k9_xtuple_0(B)))  =>  (k5_relat_1(A, C)=k5_relat_1(B, C) <=>  (! [D] :  (r2_tarski(D, C) => k1_funct_1(A, D)=k1_funct_1(B, D)) ) ) ) ) ) ) ) ) ).
fof(t96_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (k9_xtuple_0(A)=k9_xtuple_0(B) &  (! [D] :  (r2_tarski(D, C) => k1_funct_1(A, D)=k1_funct_1(B, D)) ) )  => k5_relat_1(A, C)=k5_relat_1(B, C)) ) ) ) ) ) ).
fof(t97_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => r1_tarski(k10_xtuple_0(k5_relat_1(B, k1_tarski(A))), k1_tarski(k1_funct_1(B, A)))) ) ) ).
fof(t98_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_tarski(A, k9_xtuple_0(B)) => k10_xtuple_0(k5_relat_1(B, k1_tarski(A)))=k1_tarski(k1_funct_1(B, A))) ) ) ) ).
fof(t99_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] : k3_relat_1(k5_relat_1(A, C), k5_relat_1(B, k7_relat_1(A, C)))=k5_relat_1(k3_relat_1(A, B), C)) ) ) ) ) ).
fof(t100_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (! [D] : k3_relat_1(k5_relat_1(A, C), k5_relat_1(B, D))=k5_relat_1(k3_relat_1(A, B), k3_xboole_0(C, k8_relat_1(A, D)))) ) ) ) ) ) ).
fof(t101_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (r1_tarski(C, k9_xtuple_0(k3_relat_1(A, B))) <=>  (r1_tarski(C, k9_xtuple_0(A)) & r1_tarski(k7_relat_1(A, C), k9_xtuple_0(B))) ) ) ) ) ) ) ).
fof(d12_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v3_funct_1(A) =>  (v1_xboole_0(A) |  (! [B] :  (B=k3_funct_1(A) <=>  (? [C] :  (r2_tarski(C, k9_xtuple_0(A)) & B=k1_funct_1(A, C)) ) ) ) ) ) ) ) ).
fof(t102_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  =>  (! [C] :  (r2_tarski(C, k9_xtuple_0(B)) => r2_tarski(k1_funct_1(B, C), A)) ) ) ) ) ).
fof(d13_funct_1, axiom,  (! [A] :  (v4_funct_1(A) <=>  (! [B] :  (r2_hidden(B, A) =>  (v1_relat_1(B) & v1_funct_1(B)) ) ) ) ) ).
fof(d14_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (v5_funct_1(B, A) <=>  (! [C] :  (r2_hidden(C, k9_xtuple_0(B)) => r2_tarski(k1_funct_1(B, C), k1_funct_1(A, C))) ) ) ) ) ) ) ).
fof(t103_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (v5_funct_1(A, B) & k9_xtuple_0(A)=k9_xtuple_0(B))  => v2_relat_1(B)) ) ) ) ) ).
fof(t104_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v5_funct_1(k1_xboole_0, A)) ) ).
fof(t105_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v5_funct_1(B, A)) )  => r1_tarski(k9_xtuple_0(B), k9_xtuple_0(A))) ) ) ) ).
fof(t106_funct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, A) & v1_funct_1(C)) )  =>  (r2_hidden(B, k9_xtuple_0(C)) => m1_subset_1(k1_funct_1(C, B), A)) ) ) ) ) ).
fof(t107_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v2_funct_1(A) & r1_tarski(B, k9_xtuple_0(A)))  => k7_relat_1(k2_funct_1(A), k7_relat_1(A, B))=B) ) ) ) ).
fof(t108_funct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r2_hidden(B, A) & r2_hidden(B, k9_xtuple_0(C)))  => r2_tarski(k1_funct_1(C, B), k7_relat_1(C, A))) ) ) ) ) ).
fof(t109_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ~ ( ( ~ (A=k1_xboole_0)  &  (r1_tarski(A, k9_xtuple_0(B)) & k7_relat_1(B, A)=k1_xboole_0) ) ) ) ) ) ).
fof(t111_funct_1, axiom,  (! [A] :  ~ ( ( (! [B] :  ~ ( (r2_tarski(B, A) & B=k1_xboole_0) ) )  &  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ~ ( (k9_xtuple_0(B)=A &  (! [C] :  (r2_tarski(C, A) => r2_tarski(k1_funct_1(B, C), C)) ) ) ) ) ) ) ) ) ).
fof(t112_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r1_tarski(A, C) &  (r1_tarski(B, C) & r1_xboole_0(A, B)) )  => r1_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B))) ) ) ) ) ) ) ).
fof(t113_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => k6_relat_1(A, B)=k5_relat_1(B, k8_relat_1(B, A))) ) ) ).
fof(t114_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_tarski(k10_xtuple_0(A), k10_xtuple_0(B)) =>  (! [C] :  ~ ( (r2_hidden(C, k9_xtuple_0(A)) &  (! [D] :  ~ ( (r2_hidden(D, k9_xtuple_0(B)) & k1_funct_1(A, C)=k1_funct_1(B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_funct_1, axiom,  ( (! [A] :  (! [B] :  (! [C] :  ( (p1_s1_funct_1(A, B) & p1_s1_funct_1(A, C))  => B=C) ) ) )  =>  (? [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  &  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(B, C), A) <=>  (r2_hidden(B, f1_s1_funct_1) & p1_s1_funct_1(B, C)) ) ) ) ) ) ) ).
fof(s2_funct_1, axiom,  ( ( (! [A] :  (! [B] :  (! [C] :  ( (r2_hidden(A, f1_s2_funct_1) &  (p1_s2_funct_1(A, B) & p1_s2_funct_1(A, C)) )  => B=C) ) ) )  &  (! [A] :  ~ ( (r2_hidden(A, f1_s2_funct_1) &  (! [B] :  ~ (p1_s2_funct_1(A, B)) ) ) ) ) )  =>  (? [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  &  (k9_xtuple_0(A)=f1_s2_funct_1 &  (! [B] :  (r2_hidden(B, f1_s2_funct_1) => p1_s2_funct_1(B, k1_funct_1(A, B))) ) ) ) ) ) ).
fof(s3_funct_1, axiom,  (? [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  &  (k9_xtuple_0(A)=f1_s3_funct_1 &  (! [B] :  (r2_hidden(B, f1_s3_funct_1) => k1_funct_1(A, B)=f2_s3_funct_1(B)) ) ) ) ) ).
fof(s4_funct_1, axiom,  (? [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  &  (k9_xtuple_0(A)=f1_s4_funct_1 &  (! [B] :  (m1_subset_1(B, f1_s4_funct_1) => k1_funct_1(A, B)=f2_s4_funct_1(B)) ) ) ) ) ).
fof(s5_funct_1, axiom,  (? [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  &  (k9_xtuple_0(A)=f1_s5_funct_1 &  (! [B] :  (r2_tarski(B, f1_s5_funct_1) => k1_funct_1(A, B)=f2_s5_funct_1(B)) ) ) ) ) ).
fof(s6_funct_1, axiom,  ( (! [A] :  ~ ( (r2_hidden(A, f1_s6_funct_1) &  (! [B] :  ~ ( (r2_hidden(B, f2_s6_funct_1) & p1_s6_funct_1(A, B)) ) ) ) ) )  =>  (? [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  &  (k9_xtuple_0(A)=f1_s6_funct_1 &  (r1_tarski(k10_xtuple_0(A), f2_s6_funct_1) &  (! [B] :  (r2_hidden(B, f1_s6_funct_1) => p1_s6_funct_1(B, k1_funct_1(A, B))) ) ) ) ) ) ) ).
fof(dt_k2_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k2_funct_1(A)) & v1_funct_1(k2_funct_1(A))) ) ) ).
fof(dt_f1_s4_funct_1, axiom,  ~ (v1_xboole_0(f1_s4_funct_1)) ).
fof(t110_funct_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (B=k3_tarski(A) =>  (k9_xtuple_0(B)=k3_tarski(a_1_0_funct_1(A)) & k10_xtuple_0(B)=k3_tarski(a_1_1_funct_1(A))) ) ) ) ) ) ).
fof(fraenkel_a_1_0_funct_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  & v4_funct_1(B))  =>  (r2_hidden(A, a_1_0_funct_1(B)) <=>  (? [C] :  (m1_subset_1(C, B) & A=k9_xtuple_0(C)) ) ) ) ) ).
fof(fraenkel_a_1_1_funct_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  & v4_funct_1(B))  =>  (r2_hidden(A, a_1_1_funct_1(B)) <=>  (? [C] :  (m1_subset_1(C, B) & A=k10_xtuple_0(C)) ) ) ) ) ).
fof(rc1_funct_2, axiom,  (! [A, B] :  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_funct_2(C, A, B)) ) ) ) ) ) ) ).
fof(cc1_funct_2, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v1_partfun1(C, A) => v1_funct_2(C, A, B)) ) ) ) ).
fof(cc2_funct_2, axiom,  (! [A, B] :  (v1_xboole_0(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v1_funct_2(C, A, B) => v1_partfun1(C, A)) ) ) ) ) ).
fof(cc3_funct_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v1_funct_2(C, A, B) => v1_partfun1(C, A)) ) ) ) ) ).
fof(cc4_funct_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (v1_funct_2(B, A, A) => v1_partfun1(B, A)) ) ) ) ).
fof(cc5_funct_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A))) =>  (v1_funct_2(B, k2_zfmisc_1(A, A), A) => v1_partfun1(B, k2_zfmisc_1(A, A))) ) ) ) ).
fof(fc1_funct_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  ~ (v1_xboole_0(k1_funct_2(A, B))) ) ) ).
fof(fc2_funct_2, axiom,  (! [A] :  ~ (v1_xboole_0(k1_funct_2(A, A))) ) ).
fof(fc3_funct_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(B))  => v1_xboole_0(k1_funct_2(A, B))) ) ).
fof(fc4_funct_2, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, A, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (v1_funct_1(k3_relat_1(D, C)) & v1_funct_2(k3_relat_1(D, C), A, B)) ) ) ).
fof(fc5_funct_2, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, B, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (v1_funct_1(k3_relat_1(D, C)) & v1_funct_2(k3_relat_1(D, C), A, B)) ) ) ).
fof(cc6_funct_2, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( (v1_funct_1(C) & v3_funct_2(C, A, B))  =>  (v1_funct_1(C) &  (v2_funct_1(C) & v2_funct_2(C, B)) ) ) ) ) ) ).
fof(cc7_funct_2, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( (v1_funct_1(C) &  (v2_funct_1(C) & v2_funct_2(C, B)) )  =>  (v1_funct_1(C) & v3_funct_2(C, A, B)) ) ) ) ) ).
fof(rc2_funct_2, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_funct_2(B, A, A) & v3_funct_2(B, A, A)) ) ) ) ) ) ) ) ) ).
fof(fc6_funct_2, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v2_funct_2(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  &  (v1_funct_1(C) &  (v2_funct_2(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (v1_funct_1(k3_relat_1(C, B)) & v2_funct_2(k3_relat_1(C, B), A)) ) ) ).
fof(fc7_funct_2, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) &  (v3_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, A) &  (v3_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  =>  (v1_funct_1(k3_relat_1(B, C)) &  (v1_funct_2(k3_relat_1(B, C), A, A) & v3_funct_2(k3_relat_1(B, C), A, A)) ) ) ) ).
fof(cc8_funct_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  ( (v1_relat_2(B) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_funct_2(B, A, A)) ) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, A, A) & v3_funct_2(B, A, A)) ) ) ) ) ) ).
fof(fc8_funct_2, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C)))) ) ) )  =>  (v1_funct_1(k3_relat_1(D, E)) & v1_funct_2(k3_relat_1(D, E), A, C)) ) ) ).
fof(fc9_funct_2, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (v1_funct_1(k3_partfun1(B, A, A)) & v1_partfun1(k3_partfun1(B, A, A), A)) ) ) ).
fof(cc9_funct_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( (v1_funct_1(C) & v1_funct_2(C, A, B))  =>  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  & v1_funct_2(C, A, B)) ) ) ) ) ) ) ).
fof(ie1_funct_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  & m1_subset_1(D, A)) ) )  => k7_partfun1(B, C, D)=k3_funct_2(A, B, C, D)) ) ).
fof(fc10_funct_2, axiom,  (! [A, B] : v4_funct_1(k1_funct_2(A, B))) ).
fof(cc10_funct_2, axiom,  (! [A, B] :  (! [C] :  (m1_funct_2(C, A, B) => v4_funct_1(C)) ) ) ).
fof(fc11_funct_2, axiom,  (! [A] :  (v1_relat_1(k4_relat_1(A)) &  (v4_relat_1(k4_relat_1(A), A) &  (v1_funct_1(k4_relat_1(A)) & v1_partfun1(k4_relat_1(A), A)) ) ) ) ).
fof(d1_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( ( ~ (B=k1_xboole_0)  =>  (v1_funct_2(C, A, B) <=> A=k1_relset_1(A, C)) )  &  (B=k1_xboole_0 =>  (v1_funct_2(C, A, B) <=> C=k1_xboole_0) ) ) ) ) ) ) ).
fof(t1_funct_2, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_funct_1(A) &  (v1_funct_2(A, k9_xtuple_0(A), k10_xtuple_0(A)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k9_xtuple_0(A), k10_xtuple_0(A))))) ) ) ) ).
fof(t2_funct_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_tarski(k10_xtuple_0(B), A) =>  (v1_funct_1(B) &  (v1_funct_2(B, k9_xtuple_0(B), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_xtuple_0(B), A)))) ) ) ) ) ) ).
fof(t3_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (k9_xtuple_0(C)=A &  (! [D] :  (r2_hidden(D, A) => r2_tarski(k1_funct_1(C, D), B)) ) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ) ) ).
fof(t4_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (r2_hidden(C, A) =>  (B=k1_xboole_0 | r2_tarski(k1_funct_1(D, C), k2_relset_1(B, D))) ) ) ) ) ) ) ).
fof(t5_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (r2_hidden(C, A) =>  (B=k1_xboole_0 | r2_tarski(k1_funct_1(D, C), B)) ) ) ) ) ) ) ).
fof(t6_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (r1_tarski(k2_relset_1(B, D), C) =>  ( (B=k1_xboole_0 &  ~ (A=k1_xboole_0) )  |  (v1_funct_1(D) &  (v1_funct_2(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, C)))) ) ) ) ) ) ) ) ) ).
fof(t7_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (r1_tarski(B, C) =>  ( (B=k1_xboole_0 &  ~ (A=k1_xboole_0) )  |  (v1_funct_1(D) &  (v1_funct_2(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, C)))) ) ) ) ) ) ) ) ) ).
fof(d2_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (C=k1_funct_2(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (? [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  &  (D=E &  (k9_xtuple_0(E)=A & r1_tarski(k10_xtuple_0(E), B)) ) ) ) ) ) ) ) ) ) ).
fof(t8_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ( (B=k1_xboole_0 => A=k1_xboole_0)  => r2_tarski(C, k1_funct_2(A, B))) ) ) ) ) ).
fof(t9_funct_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  => r2_tarski(B, k1_funct_2(A, A))) ) ) ).
fof(t10_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ( (! [D] :  ~ ( (r2_hidden(D, B) &  (! [E] :  ~ ( (r2_hidden(E, A) & D=k1_funct_1(C, E)) ) ) ) ) )  => k2_relset_1(B, C)=B) ) ) ) ) ).
fof(t11_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ~ ( (r2_hidden(C, k2_relset_1(B, D)) &  (! [E] :  ~ ( (r2_hidden(E, A) & k1_funct_1(D, E)=C) ) ) ) ) ) ) ) ) ) ).
fof(t12_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ( (! [E] :  (r2_hidden(E, A) => k1_funct_1(C, E)=k1_funct_1(D, E)) )  => r2_relset_1(A, B, C, D)) ) ) ) ) ) ) ).
fof(t13_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [E] :  ( (v1_funct_2(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C))))  =>  ( ~ ( (B=k1_xboole_0 &  ( ~ (C=k1_xboole_0)  &  ~ (A=k1_xboole_0) ) ) )  => v1_funct_2(k4_relset_1(A, B, B, C, D, E), A, C)) ) ) ) ) ) ) ) ).
fof(t14_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  ( (k2_relset_1(B, D)=B & k2_relset_1(C, E)=C)  =>  (C=k1_xboole_0 | k2_relset_1(C, k1_partfun1(A, B, B, C, D, E))=C) ) ) ) ) ) ) ) ) ).
fof(t15_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (r2_hidden(C, A) =>  (B=k1_xboole_0 | k1_funct_1(k3_relat_1(D, E), C)=k1_funct_1(E, k1_funct_1(D, C))) ) ) ) ) ) ) ) ) ).
fof(t16_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ( ~ (B=k1_xboole_0)  =>  (k2_relset_1(B, C)=B <=>  (! [D] :  ( ~ (D=k1_xboole_0)  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, D)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, D)))) )  =>  (r2_relset_1(A, D, k1_partfun1(A, B, B, D, C, E), k1_partfun1(A, B, B, D, C, F)) => r2_relset_1(B, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (r2_relset_1(A, B, k4_relset_1(A, A, A, B, k6_partfun1(A), C), C) & r2_relset_1(A, B, k4_relset_1(A, B, B, B, C, k6_partfun1(B)), C)) ) ) ) ) ).
fof(t18_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (r2_relset_1(B, B, k1_partfun1(B, A, A, B, D, C), k6_partfun1(B)) => k2_relset_1(B, C)=B) ) ) ) ) ) ) ).
fof(t19_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ( (B=k1_xboole_0 => A=k1_xboole_0)  =>  (v2_funct_1(C) <=>  (! [D] :  (! [E] :  ( (r2_hidden(D, A) &  (r2_hidden(E, A) & k1_funct_1(C, D)=k1_funct_1(C, E)) )  => D=E) ) ) ) ) ) ) ) ) ).
fof(t20_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  (v2_funct_1(k1_partfun1(A, B, B, C, D, E)) =>  ( (C=k1_xboole_0 &  ~ (B=k1_xboole_0) )  | v2_funct_1(D)) ) ) ) ) ) ) ) ) ).
fof(t21_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ~ ( ( ~ (A=k1_xboole_0)  &  ( ~ (B=k1_xboole_0)  &  ~ ( (v2_funct_1(C) <=>  (! [D] :  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, D, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(D, A)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, A)))) )  =>  (r2_relset_1(D, B, k1_partfun1(D, A, A, B, E, C), k1_partfun1(D, A, A, B, F, C)) => r2_relset_1(D, A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  ( (k2_relset_1(C, k1_partfun1(A, B, B, C, D, E))=C & v2_funct_1(E))  =>  (C=k1_xboole_0 | k2_relset_1(B, D)=B) ) ) ) ) ) ) ) ) ).
fof(d3_funct_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v2_funct_2(B, A) <=> k2_relset_1(A, B)=A) ) ) ) ).
fof(t23_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (r2_relset_1(A, A, k1_partfun1(A, B, B, A, C, D), k6_partfun1(A)) =>  (v2_funct_1(C) & v2_funct_2(D, A)) ) ) ) ) ) ) ) ).
fof(t24_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  ( (v2_funct_1(k1_partfun1(A, B, B, C, D, E)) & k2_relset_1(B, D)=B)  =>  ( (C=k1_xboole_0 &  ~ (B=k1_xboole_0) )  |  (v2_funct_1(D) & v2_funct_1(E)) ) ) ) ) ) ) ) ) ) ).
fof(t25_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ( (v2_funct_1(C) & k2_relset_1(B, C)=B)  =>  (v1_funct_1(k2_funct_1(C)) &  (v1_funct_2(k2_funct_1(C), B, A) & m1_subset_1(k2_funct_1(C), k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) ) ) ) ) ).
fof(t26_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ( (v2_funct_1(D) & r2_hidden(C, A))  =>  (B=k1_xboole_0 | k1_funct_1(k2_funct_1(D), k1_funct_1(D, C))=C) ) ) ) ) ) ) ).
fof(t27_funct_2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  ( (v2_funct_2(D, B) & v2_funct_2(E, C))  => v2_funct_2(k1_partfun1(A, B, B, C, D, E), C)) ) ) ) ) ) ) ) ) ) ).
fof(t28_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  ( (k2_relset_1(B, C)=B &  (v2_funct_1(C) &  (! [E] :  (! [F] :  ( ( (r2_hidden(E, B) & k1_funct_1(D, E)=F)  =>  (r2_hidden(F, A) & k1_funct_1(C, F)=E) )  &  ( (r2_hidden(F, A) & k1_funct_1(C, F)=E)  =>  (r2_hidden(E, B) & k1_funct_1(D, E)=F) ) ) ) ) ) )  =>  (A=k1_xboole_0 |  (B=k1_xboole_0 | D=k2_funct_1(C)) ) ) ) ) ) ) ) ) ).
fof(t29_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ( (k2_relset_1(B, C)=B & v2_funct_1(C))  =>  (B=k1_xboole_0 |  (k3_relat_1(C, k2_funct_1(C))=k6_partfun1(A) & k3_relat_1(k2_funct_1(C), C)=k6_partfun1(B)) ) ) ) ) ) ) ).
fof(t30_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  ( (k2_relset_1(B, C)=B &  (r2_relset_1(A, A, k1_partfun1(A, B, B, A, C, D), k6_partfun1(A)) & v2_funct_1(C)) )  =>  (A=k1_xboole_0 |  (B=k1_xboole_0 | D=k2_funct_1(C)) ) ) ) ) ) ) ) ) ).
fof(t31_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ~ ( ( ~ (B=k1_xboole_0)  &  ( (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  & r2_relset_1(A, A, k1_partfun1(A, B, B, A, C, D), k6_partfun1(A))) )  &  ~ (v2_funct_1(C)) ) ) ) ) ) ) ) ).
fof(t32_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (r1_tarski(C, A) =>  ( (B=k1_xboole_0 &  ~ (A=k1_xboole_0) )  |  (v1_funct_1(k2_partfun1(A, B, D, C)) &  (v1_funct_2(k2_partfun1(A, B, D, C), C, B) & m1_subset_1(k2_partfun1(A, B, D, C), k1_zfmisc_1(k2_zfmisc_1(C, B)))) ) ) ) ) ) ) ) ) ).
fof(t33_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (r1_tarski(A, C) => r2_relset_1(A, B, k2_partfun1(A, B, D, C), D)) ) ) ) ) ) ).
fof(t34_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ( (r2_hidden(D, A) & r2_tarski(k1_funct_1(E, D), C))  =>  (B=k1_xboole_0 | k1_funct_1(k6_relset_1(A, B, C, E), D)=k1_funct_1(E, D)) ) ) ) ) ) ) ) ).
fof(t35_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  ( ~ (C=k1_xboole_0)  =>  (! [E] :  ( (? [F] :  (r2_hidden(F, B) &  (r2_hidden(F, A) & E=k1_funct_1(D, F)) ) )  => r2_hidden(E, k7_relset_1(B, C, D, A))) ) ) ) ) ) ) ) ).
fof(t36_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  => r1_tarski(k7_relset_1(B, C, D, A), C)) ) ) ) ) ).
fof(t38_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  ( ~ (C=k1_xboole_0)  =>  (! [E] :  (r2_hidden(E, k8_relset_1(B, C, D, A)) <=>  (r2_hidden(E, B) & r2_tarski(k1_funct_1(D, E), A)) ) ) ) ) ) ) ) ) ).
fof(t39_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C))))  => r1_tarski(k8_relset_1(B, C, D, A), B)) ) ) ) ) ).
fof(t40_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ( (B=k1_xboole_0 => A=k1_xboole_0)  => k8_relset_1(A, B, C, B)=A) ) ) ) ) ).
fof(t41_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ( (! [D] :  ~ ( (r2_hidden(D, B) & k8_relset_1(A, B, C, k1_tarski(D))=k1_xboole_0) ) )  <=> k2_relset_1(B, C)=B) ) ) ) ) ).
fof(t42_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  (r1_tarski(A, B) =>  ( (C=k1_xboole_0 &  ~ (B=k1_xboole_0) )  | r1_tarski(A, k8_relset_1(B, C, D, k7_relset_1(B, C, D, A)))) ) ) ) ) ) ) ).
fof(t43_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ( (B=k1_xboole_0 => A=k1_xboole_0)  => k8_relset_1(A, B, C, k7_relset_1(A, B, C, A))=A) ) ) ) ) ).
fof(t44_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, C, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, D)))) )  =>  ( (D=k1_xboole_0 => C=k1_xboole_0)  => r1_tarski(k8_relset_1(B, C, E, A), k8_relset_1(B, D, k1_partfun1(B, C, C, D, E, F), k7_relset_1(C, D, F, A)))) ) ) ) ) ) ) ) ) ).
fof(t45_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_xboole_0, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_xboole_0, B)))) )  => k7_relset_1(k1_xboole_0, B, C, A)=k1_xboole_0) ) ) ) ).
fof(t46_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_xboole_0, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_xboole_0, B)))) )  => k8_relset_1(k1_xboole_0, B, C, A)=k1_xboole_0) ) ) ) ).
fof(t47_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_tarski(B), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_tarski(B), A)))) )  =>  ( ~ (A=k1_xboole_0)  => r2_tarski(k1_funct_1(C, B), A)) ) ) ) ) ).
fof(t48_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_tarski(B), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_tarski(B), A)))) )  =>  ( ~ (A=k1_xboole_0)  => k2_relset_1(A, C)=k1_tarski(k1_funct_1(C, B))) ) ) ) ) ).
fof(t49_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_tarski(C), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_tarski(C), B)))) )  =>  ( ~ (B=k1_xboole_0)  => r1_tarski(k7_relset_1(k1_tarski(C), B, D, A), k1_tarski(k1_funct_1(D, C)))) ) ) ) ) ) ).
fof(t50_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_tarski(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_tarski(C))))) )  =>  (r2_hidden(B, A) => k1_funct_1(D, B)=C) ) ) ) ) ) ).
fof(t51_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_tarski(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_tarski(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_tarski(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_tarski(B))))) )  => r2_relset_1(A, k1_tarski(B), C, D)) ) ) ) ) ) ).
fof(t52_funct_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  => k1_relset_1(A, B)=A) ) ) ).
fof(t53_funct_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  ( (k2_relset_1(A, B)=A & k2_relset_1(A, C)=A)  => k2_relset_1(A, k4_relset_1(A, A, A, A, C, B))=A) ) ) ) ) ) ).
fof(t54_funct_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  ( (r2_relset_1(A, A, k1_partfun1(A, A, A, A, B, C), B) & k2_relset_1(A, B)=A)  => r2_relset_1(A, A, C, k6_partfun1(A))) ) ) ) ) ) ).
fof(t55_funct_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  ( (r2_relset_1(A, A, k1_partfun1(A, A, A, A, C, B), B) & v2_funct_1(B))  => r2_relset_1(A, A, C, k6_partfun1(A))) ) ) ) ) ) ).
fof(t56_funct_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (v2_funct_1(B) <=>  (! [C] :  (! [D] :  ( (r2_hidden(C, A) &  (r2_hidden(D, A) & k1_funct_1(B, C)=k1_funct_1(B, D)) )  => C=D) ) ) ) ) ) ) ).
fof(d4_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) & v1_funct_1(C)) ) )  =>  (v3_funct_2(C, A, B) <=>  (v2_funct_1(C) & v2_funct_2(C, B)) ) ) ) ) ) ).
fof(t57_funct_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  ( (v2_funct_1(B) & k2_relset_1(A, B)=A)  =>  (v1_funct_1(B) &  (v1_funct_2(B, A, A) &  (v3_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ) ) ).
fof(t58_funct_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (v2_funct_1(B) =>  (! [C] :  (! [D] :  ( (r2_hidden(C, A) &  (r2_hidden(D, A) & k1_funct_1(B, C)=k1_funct_1(B, D)) )  => C=D) ) ) ) ) ) ) ).
fof(t59_funct_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) &  (v3_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, A) &  (v3_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (r2_relset_1(A, A, k1_partfun1(A, A, A, A, B, C), C) => r2_relset_1(A, A, B, k6_partfun1(A))) ) ) ) ) ) ).
fof(t60_funct_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) &  (v3_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, A) &  (v3_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (r2_relset_1(A, A, k1_partfun1(A, A, A, A, B, C), k6_partfun1(A)) => r2_relset_1(A, A, C, k2_funct_2(A, B))) ) ) ) ) ) ).
fof(t61_funct_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) &  (v3_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (r2_relset_1(A, A, k1_partfun1(A, A, A, A, B, k2_funct_2(A, B)), k6_partfun1(A)) & r2_relset_1(A, A, k1_partfun1(A, A, A, A, k2_funct_2(A, B), B), k6_partfun1(A))) ) ) ) ).
fof(t62_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, B) &  (v3_funct_2(C, B, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  =>  (r1_tarski(A, B) =>  (k7_relset_1(B, B, C, k8_relset_1(B, B, C, A))=A & k8_relset_1(B, B, C, k7_relset_1(B, B, C, A))=A) ) ) ) ) ) ).
fof(t63_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ( (! [E] :  (m1_subset_1(E, A) => k1_funct_1(C, E)=k1_funct_1(D, E)) )  => r2_relset_1(A, B, C, D)) ) ) ) ) ) ) ).
fof(t64_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ~ ( (r2_hidden(E, k7_relset_1(A, B, D, C)) &  (! [F] :  ~ ( (r2_hidden(F, A) &  (r2_hidden(F, C) & E=k1_funct_1(D, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  (! [E] :  ~ ( (r2_hidden(E, k7_relset_1(B, C, D, A)) &  (! [F] :  (m1_subset_1(F, B) =>  ~ ( (r2_tarski(F, A) & E=k1_funct_1(D, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_tarski(C, k1_funct_2(A, B)) =>  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ) ).
fof(t67_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (k1_relset_1(A, C)=A =>  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ) ) ).
fof(t68_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (v1_partfun1(C, A) =>  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ) ) ).
fof(t69_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ( (B=k1_xboole_0 &  ~ (A=k1_xboole_0) )  | v1_partfun1(C, A)) ) ) ) ) ) ).
fof(t70_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ( (B=k1_xboole_0 => A=k1_xboole_0)  => v1_partfun1(k3_partfun1(C, A, B), A)) ) ) ) ) ).
fof(t71_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  ~ ( ( (B=k1_xboole_0 => A=k1_xboole_0)  &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (? [E] :  (r2_hidden(E, k1_relset_1(A, C)) &  ~ (k1_funct_1(D, E)=k1_funct_1(C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t72_funct_2, axiom,  (! [A] :  (! [B] : r1_tarski(k1_funct_2(A, B), k4_partfun1(A, B))) ) ).
fof(t73_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (r1_partfun1(C, D) =>  ( (B=k1_xboole_0 &  ~ (A=k1_xboole_0) )  | r2_relset_1(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t74_funct_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (r1_partfun1(B, C) => r2_relset_1(A, A, B, C)) ) ) ) ) ) ).
fof(t75_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ( (B=k1_xboole_0 => A=k1_xboole_0)  =>  (r1_partfun1(C, D) <=>  (! [E] :  (r2_hidden(E, k1_relset_1(A, C)) => k1_funct_1(C, E)=k1_funct_1(D, E)) ) ) ) ) ) ) ) ) ) ).
fof(t76_funct_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (r1_partfun1(B, C) <=>  (! [D] :  (r2_hidden(D, k1_relset_1(A, B)) => k1_funct_1(B, D)=k1_funct_1(C, D)) ) ) ) ) ) ) ) ).
fof(t77_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  ~ ( ( (B=k1_xboole_0 => A=k1_xboole_0)  &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ~ (r1_partfun1(C, D)) ) ) ) ) ) ) ) ) ).
fof(t78_funct_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  ( (r1_partfun1(B, D) & r1_partfun1(C, D))  => r1_partfun1(B, C)) ) ) ) ) ) ) ) ).
fof(t79_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  ~ ( ( (B=k1_xboole_0 => A=k1_xboole_0)  &  (r1_partfun1(C, D) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ~ ( (r1_partfun1(C, E) & r1_partfun1(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t80_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (r1_partfun1(C, D) =>  ( (B=k1_xboole_0 &  ~ (A=k1_xboole_0) )  | r2_tarski(D, k5_partfun1(A, B, C))) ) ) ) ) ) ) ) ).
fof(t81_funct_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (r1_partfun1(B, C) => r2_tarski(C, k5_partfun1(A, A, B))) ) ) ) ) ) ).
fof(t82_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [D] :  (r2_tarski(D, k5_partfun1(A, B, C)) =>  (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ) ) ) ).
fof(t83_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  => r1_tarski(k5_partfun1(A, B, C), k1_funct_2(A, B))) ) ) ) ).
fof(t84_funct_2, axiom,  (! [A] :  (! [B] : k5_partfun1(A, B, k3_partfun1(k1_xboole_0, A, B))=k1_funct_2(A, B)) ) ).
fof(t85_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ( (B=k1_xboole_0 => A=k1_xboole_0)  => k5_partfun1(A, B, k3_partfun1(C, A, B))=k1_tarski(C)) ) ) ) ) ).
fof(t86_funct_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  => k5_partfun1(A, A, k3_partfun1(B, A, A))=k1_tarski(B)) ) ) ).
fof(t87_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_tarski(B)))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_tarski(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_tarski(B))))) )  => k5_partfun1(A, k1_tarski(B), C)=k1_tarski(D)) ) ) ) ) ) ).
fof(t88_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (r1_relset_1(A, B, D, C) => r1_tarski(k5_partfun1(A, B, C), k5_partfun1(A, B, D))) ) ) ) ) ) ) ).
fof(t89_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  ( (r1_tarski(k1_relset_1(A, D), k1_relset_1(A, C)) & r1_tarski(k5_partfun1(A, B, C), k5_partfun1(A, B, D)))  => r1_relset_1(A, B, D, C)) ) ) ) ) ) ) ).
fof(t90_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  ( (r1_tarski(k5_partfun1(A, B, C), k5_partfun1(A, B, D)) &  (! [E] :  ~ (B=k1_tarski(E)) ) )  => r1_relset_1(A, B, D, C)) ) ) ) ) ) ) ).
fof(t91_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  ( ( (! [E] :  ~ (B=k1_tarski(E)) )  & k5_partfun1(A, B, C)=k5_partfun1(A, B, D))  => r2_relset_1(A, B, C, D)) ) ) ) ) ) ) ).
fof(t92_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r2_tarski(C, k1_funct_2(A, B)) =>  (k9_xtuple_0(C)=A & r1_tarski(k10_xtuple_0(C), B)) ) ) ) ) ) ).
fof(d5_funct_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k2_zfmisc_1(B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_zfmisc_1(B, C))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (E=k4_funct_2(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, A) => k3_funct_2(A, B, E, F)=k1_xtuple_0(k3_funct_2(A, k2_zfmisc_1(B, C), D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_funct_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k2_zfmisc_1(B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_zfmisc_1(B, C))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  =>  (E=k5_funct_2(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, A) => k3_funct_2(A, C, E, F)=k2_xtuple_0(k3_funct_2(A, k2_zfmisc_1(B, C), D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_funct_2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, C, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, D)))) )  =>  (r1_funct_2(A, B, C, D, E, F) <=>  (A=C &  (! [G] :  (m1_subset_1(G, A) => k1_funct_1(E, G)=k1_funct_1(F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (r2_funct_2(A, B, C, D) <=>  (! [E] :  (m1_subset_1(E, A) => k1_funct_1(C, E)=k1_funct_1(D, E)) ) ) ) ) ) ) ) ) ).
fof(t93_funct_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k9_setfam_1(A))))) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (! [D] :  (r2_tarski(D, A) => k9_relat_1(C, D)=k1_funct_1(B, D)) ) ) ) ) ) ) ).
fof(t94_funct_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k8_relset_1(A, A, k6_partfun1(A), B)=B) ) ) ).
fof(t95_funct_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(B)) =>  (r1_tarski(k7_relset_1(A, B, C, D), E) <=> r1_tarski(D, k8_relset_1(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t96_funct_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(A)))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, D, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(D, B)))) )  =>  ( (! [F] :  (m1_subset_1(F, A) =>  (r2_tarski(F, D) => k3_funct_2(A, B, C, F)=k1_funct_1(E, F)) ) )  => k2_partfun1(A, B, C, D)=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t97_funct_2, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (r1_tarski(C, B) => k7_relat_1(A, C)=k7_relat_1(k5_relat_1(A, B), C)) ) ) ) ) ).
fof(t98_funct_2, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (r1_tarski(k8_relat_1(A, C), B) => k8_relat_1(A, C)=k8_relat_1(k5_relat_1(A, B), C)) ) ) ) ) ).
fof(t99_funct_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  (m1_subset_1(D, A) => k7_partfun1(B, C, D)=k3_funct_2(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t100_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) =>  ( (B=k1_xboole_0 => A=k1_xboole_0)  => k3_subset_1(A, k8_relset_1(A, B, C, D))=k8_relset_1(A, B, C, k3_subset_1(B, D))) ) ) ) ) ) ) ).
fof(t101_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, D)))) )  =>  ( (r1_tarski(B, A) & r1_tarski(k7_relset_1(A, D, E, B), C))  =>  (v1_funct_1(k2_partfun1(A, D, E, B)) &  (v1_funct_2(k2_partfun1(A, D, E, B), B, C) & m1_subset_1(k2_partfun1(A, D, E, B), k1_zfmisc_1(k2_zfmisc_1(B, C)))) ) ) ) ) ) ) ) ) ) ).
fof(d9_funct_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (E=k6_funct_2(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(A)) =>  (r2_tarski(F, E) <=>  (? [G] :  (m1_subset_1(G, k1_zfmisc_1(B)) &  (r2_tarski(G, D) & F=k8_relset_1(A, B, C, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t102_funct_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(B))) =>  (r1_tarski(D, E) => r1_tarski(k6_funct_2(A, B, C, D), k6_funct_2(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(B))) =>  (E=k7_funct_2(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(B)) =>  (r2_tarski(F, E) <=>  (? [G] :  (m1_subset_1(G, k1_zfmisc_1(A)) &  (r2_tarski(G, D) & F=k7_relset_1(A, B, C, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t103_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (r1_tarski(D, E) => r1_tarski(k7_funct_2(A, B, C, D), k7_funct_2(A, B, C, E))) ) ) ) ) ) ) ) ) ).
fof(t104_funct_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(B)) =>  (m1_setfam_1(k7_funct_2(A, B, C, k6_funct_2(A, B, C, D)), E) => m1_setfam_1(D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t105_funct_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  (m1_setfam_1(D, E) => m1_setfam_1(k6_funct_2(A, B, C, k7_funct_2(A, B, C, D)), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t106_funct_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B))) => r1_tarski(k5_setfam_1(B, k7_funct_2(A, B, C, k6_funct_2(A, B, C, D))), k5_setfam_1(B, D))) ) ) ) ) ) ) ) ).
fof(t107_funct_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(A))) => r1_tarski(k5_setfam_1(A, D), k5_setfam_1(A, k6_funct_2(A, B, C, k7_funct_2(A, B, C, D))))) ) ) ) ) ) ) ) ).
fof(d11_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v5_relat_1(E, B) & v1_funct_1(E)) )  =>  (r1_tarski(k2_relset_1(C, D), k9_xtuple_0(E)) => k8_funct_2(A, B, C, D, E)=k3_relat_1(D, E)) ) ) ) ) ) ) ) ) ).
fof(t108_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, B))))  =>  (! [F] :  (m1_subset_1(F, A) =>  (r1_tarski(k2_relset_1(C, D), k1_relset_1(C, E)) =>  (A=k1_xboole_0 | k1_funct_1(k8_funct_2(A, B, C, D, E), F)=k1_funct_1(E, k1_funct_1(D, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t109_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, B))))  =>  (! [F] :  (m1_subset_1(F, A) =>  (r1_tarski(k2_relset_1(C, D), k1_relset_1(C, E)) =>  (A=k1_xboole_0 | k1_funct_1(k8_funct_2(A, B, C, D, E), F)=k7_partfun1(B, E, k1_funct_1(D, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t110_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, B))))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (r1_tarski(k2_relset_1(C, D), k1_relset_1(C, E)) => r2_funct_2(A, B, k1_partfun1(A, A, A, B, F, k8_funct_2(A, B, C, D, E)), k8_funct_2(A, B, C, k1_partfun1(A, A, A, C, F, D), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t111_funct_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v3_funct_1(C) <=>  (? [D] :  (m1_subset_1(D, B) & k2_relset_1(B, C)=k1_tarski(D)) ) ) ) ) ) ) ) ) ).
fof(t112_funct_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  => r2_tarski(k3_funct_2(A, B, D, C), k2_relset_1(B, D))) ) ) ) ) ) ) ) ).
fof(t113_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  ~ ( (r2_hidden(A, k2_relset_1(C, D)) &  (! [E] :  (m1_subset_1(E, B) =>  ~ (A=k1_funct_1(D, E)) ) ) ) ) ) ) ) ) ) ).
fof(t114_funct_2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  ( (! [E] :  (m1_subset_1(E, B) => r2_tarski(k3_funct_2(B, C, D, E), A)) )  => r1_tarski(k2_relset_1(C, D), A)) ) ) ) ) ) ) ) ).
fof(t115_funct_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C))))  =>  (! [F] :  (m1_subset_1(F, A) =>  (v1_partfun1(E, B) => k3_funct_2(A, C, k8_funct_2(A, C, B, D, E), F)=k1_funct_1(E, k3_funct_2(A, B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t116_funct_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C))))  =>  (! [F] :  (m1_subset_1(F, A) =>  (v1_partfun1(E, B) => k3_funct_2(A, C, k8_funct_2(A, C, B, D, E), F)=k7_partfun1(C, E, k3_funct_2(A, B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t117_funct_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (! [D] :  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, C))))  =>  (r1_tarski(k2_relset_1(B, E), k1_relset_1(B, k2_partfun1(B, C, F, D))) => r2_funct_2(A, C, k8_funct_2(A, C, B, E, k2_partfun1(B, C, F, D)), k8_funct_2(A, C, B, E, F))) ) ) ) ) ) ) ) ) ) ) ).
fof(t118_funct_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(B, C))))  =>  ( (r1_tarski(k2_relset_1(B, F), k1_relset_1(B, k2_partfun1(B, C, G, D))) & r1_tarski(D, E))  => r2_funct_2(A, C, k8_funct_2(A, C, B, F, k2_partfun1(B, C, G, D)), k8_funct_2(A, C, B, F, k2_partfun1(B, C, G, E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t119_funct_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k2_zfmisc_1(B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_zfmisc_1(B, C))))) )  =>  (! [E] :  (m1_subset_1(E, A) => k3_funct_2(A, k2_zfmisc_1(B, C), D, E)=k4_tarski(k3_funct_2(A, B, k4_funct_2(A, B, C, D), E), k3_funct_2(A, C, k5_funct_2(A, B, C, D), E))) ) ) ) ) ) ) ) ) ) ).
fof(t120_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, C, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, D)))) )  =>  (r1_partfun1(E, F) =>  (v1_funct_1(k9_subset_1(k2_zfmisc_1(C, D), E, F)) &  (v1_funct_2(k9_subset_1(k2_zfmisc_1(C, D), E, F), k3_xboole_0(A, C), k3_xboole_0(B, D)) & m1_subset_1(k9_subset_1(k2_zfmisc_1(C, D), E, F), k1_zfmisc_1(k2_zfmisc_1(k3_xboole_0(A, C), k3_xboole_0(B, D))))) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (m1_funct_2(C, A, B) <=>  (! [D] :  (m1_subset_1(D, C) =>  (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ) ) ) ) ).
fof(t121_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  => m1_funct_2(k1_tarski(C), A, B)) ) ) ) ).
fof(t122_funct_2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  => m1_funct_2(k1_funct_2(A, B), A, B)) ) ) ).
fof(d13_funct_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  (r2_tarski(D, A) => k10_funct_2(A, B, C, D)=k1_funct_1(C, D)) ) ) ) ) ) ) ) ).
fof(t123_funct_2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, A) & v1_funct_1(D)) )  => k9_xtuple_0(k3_relat_1(D, C))=k9_xtuple_0(D)) ) ) ) ) ) ) ).
fof(t124_funct_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  ( (! [C] :  (m1_subset_1(C, A) => k3_funct_2(A, A, B, C)=C) )  => r2_funct_2(A, A, B, k6_partfun1(A))) ) ) ) ) ).
fof(t125_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_tarski(A), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_tarski(A), B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_tarski(A), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_tarski(A), B)))) )  =>  (k1_funct_1(C, A)=k1_funct_1(D, A) => r2_funct_2(k1_tarski(A), B, C, D)) ) ) ) ) ) ) ).
fof(t126_funct_2, axiom,  (! [A] : r2_tarski(k6_partfun1(A), k1_funct_2(A, A))) ).
fof(t127_funct_2, axiom, k1_funct_2(k1_xboole_0, k1_xboole_0)=k1_tarski(k6_partfun1(k1_xboole_0))).
fof(t128_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  ( (r2_tarski(D, k1_funct_2(A, B)) & r2_tarski(E, k1_funct_2(B, C)))  => r2_tarski(k3_relat_1(D, E), k1_funct_2(A, C))) ) ) ) ) ) ) ) ).
fof(t129_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (k1_funct_2(A, B)=k1_xboole_0)  &  ( ~ (k1_funct_2(B, C)=k1_xboole_0)  & k1_funct_2(A, C)=k1_xboole_0) ) ) ) ) ) ).
fof(t130_funct_2, axiom,  (! [A] :  (v1_funct_1(k1_xboole_0) &  (v1_funct_2(k1_xboole_0, A, k1_xboole_0) & m1_subset_1(k1_xboole_0, k1_zfmisc_1(k2_zfmisc_1(A, k1_xboole_0)))) ) ) ).
fof(s1_funct_2, axiom,  ( (! [A] :  ~ ( (r2_hidden(A, f1_s1_funct_2) &  (! [B] :  ~ ( (r2_hidden(B, f2_s1_funct_2) & p1_s1_funct_2(A, B)) ) ) ) ) )  =>  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, f1_s1_funct_2, f2_s1_funct_2) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(f1_s1_funct_2, f2_s1_funct_2)))) )  &  (! [B] :  (r2_hidden(B, f1_s1_funct_2) => p1_s1_funct_2(B, k1_funct_1(A, B))) ) ) ) ) ).
fof(s2_funct_2, axiom,  ( (! [A] :  (r2_hidden(A, f1_s2_funct_2) => r2_hidden(f3_s2_funct_2(A), f2_s2_funct_2)) )  =>  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, f1_s2_funct_2, f2_s2_funct_2) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(f1_s2_funct_2, f2_s2_funct_2)))) )  &  (! [B] :  (r2_hidden(B, f1_s2_funct_2) => k1_funct_1(A, B)=f3_s2_funct_2(B)) ) ) ) ) ).
fof(s3_funct_2, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s3_funct_2) =>  (? [B] :  (m1_subset_1(B, f2_s3_funct_2) & p1_s3_funct_2(A, B)) ) ) )  =>  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, f1_s3_funct_2, f2_s3_funct_2) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(f1_s3_funct_2, f2_s3_funct_2)))) )  &  (! [B] :  (m1_subset_1(B, f1_s3_funct_2) => p1_s3_funct_2(B, k3_funct_2(f1_s3_funct_2, f2_s3_funct_2, A, B))) ) ) ) ) ).
fof(s4_funct_2, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, f1_s4_funct_2, f2_s4_funct_2) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(f1_s4_funct_2, f2_s4_funct_2)))) )  &  (! [B] :  (m1_subset_1(B, f1_s4_funct_2) => k3_funct_2(f1_s4_funct_2, f2_s4_funct_2, A, B)=f3_s4_funct_2(B)) ) ) ) ).
fof(s5_funct_2, axiom,  ( (! [A] :  (r2_hidden(A, f1_s5_funct_2) =>  ( (p1_s5_funct_2(A) => r2_hidden(f3_s5_funct_2(A), f2_s5_funct_2))  &  ( ~ (p1_s5_funct_2(A))  => r2_hidden(f4_s5_funct_2(A), f2_s5_funct_2)) ) ) )  =>  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, f1_s5_funct_2, f2_s5_funct_2) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(f1_s5_funct_2, f2_s5_funct_2)))) )  &  (! [B] :  (r2_hidden(B, f1_s5_funct_2) =>  ( (p1_s5_funct_2(B) => k1_funct_1(A, B)=f3_s5_funct_2(B))  &  ( ~ (p1_s5_funct_2(B))  => k1_funct_1(A, B)=f4_s5_funct_2(B)) ) ) ) ) ) ) ).
fof(s6_funct_2, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, f1_s6_funct_2, f2_s6_funct_2) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(f1_s6_funct_2, f2_s6_funct_2)))) )  &  (k3_funct_2(f1_s6_funct_2, f2_s6_funct_2, A, f3_s6_funct_2)=f4_s6_funct_2 &  (! [B] :  (m1_subset_1(B, f1_s6_funct_2) =>  ( ~ (B=f3_s6_funct_2)  => k3_funct_2(f1_s6_funct_2, f2_s6_funct_2, A, B)=f5_s6_funct_2(B)) ) ) ) ) ) ).
fof(s7_funct_2, axiom,  ( ~ (f3_s7_funct_2=f4_s7_funct_2)  =>  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, f1_s7_funct_2, f2_s7_funct_2) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(f1_s7_funct_2, f2_s7_funct_2)))) )  &  (k3_funct_2(f1_s7_funct_2, f2_s7_funct_2, A, f3_s7_funct_2)=f5_s7_funct_2 &  (k3_funct_2(f1_s7_funct_2, f2_s7_funct_2, A, f4_s7_funct_2)=f6_s7_funct_2 &  (! [B] :  (m1_subset_1(B, f1_s7_funct_2) =>  ~ ( ( ~ (B=f3_s7_funct_2)  &  ( ~ (B=f4_s7_funct_2)  &  ~ (k3_funct_2(f1_s7_funct_2, f2_s7_funct_2, A, B)=f7_s7_funct_2(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(s8_funct_2, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s8_funct_2) => r2_hidden(f3_s8_funct_2(A), f2_s8_funct_2)) )  =>  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, f1_s8_funct_2, f2_s8_funct_2) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(f1_s8_funct_2, f2_s8_funct_2)))) )  &  (! [B] :  (m1_subset_1(B, f1_s8_funct_2) => k3_funct_2(f1_s8_funct_2, f2_s8_funct_2, A, B)=f3_s8_funct_2(B)) ) ) ) ) ).
fof(s9_funct_2, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s9_funct_2) => m1_subset_1(f3_s9_funct_2(A), f2_s9_funct_2)) )  =>  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, f1_s9_funct_2, f2_s9_funct_2) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(f1_s9_funct_2, f2_s9_funct_2)))) )  &  (! [B] :  (m1_subset_1(B, f1_s9_funct_2) => k3_funct_2(f1_s9_funct_2, f2_s9_funct_2, A, B)=f3_s9_funct_2(B)) ) ) ) ) ).
fof(s10_funct_2, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s10_funct_2) =>  ~ (r1_xboole_0(f2_s10_funct_2, f3_s10_funct_2(A))) ) )  =>  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, f1_s10_funct_2, f2_s10_funct_2) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(f1_s10_funct_2, f2_s10_funct_2)))) )  &  (! [B] :  (m1_subset_1(B, f1_s10_funct_2) => r2_tarski(k3_funct_2(f1_s10_funct_2, f2_s10_funct_2, A, B), f3_s10_funct_2(B))) ) ) ) ) ).
fof(s11_funct_2, axiom,  ( (! [A] :  (r2_tarski(A, f1_s11_funct_2) => r2_hidden(f3_s11_funct_2(A), f2_s11_funct_2)) )  =>  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, f1_s11_funct_2, f2_s11_funct_2) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(f1_s11_funct_2, f2_s11_funct_2)))) )  &  (! [B] :  (r2_tarski(B, f1_s11_funct_2) => k1_funct_1(A, B)=f3_s11_funct_2(B)) ) ) ) ) ).
fof(dt_k2_funct_2, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) &  (v3_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (v1_funct_1(k2_funct_2(A, B)) &  (v1_funct_2(k2_funct_2(A, B), A, A) &  (v3_funct_2(k2_funct_2(A, B), A, A) & m1_subset_1(k2_funct_2(A, B), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ).
fof(redefinition_k2_funct_2, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) &  (v3_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  => k2_funct_2(A, B)=k2_funct_1(B)) ) ).
fof(dt_k3_funct_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  & m1_subset_1(D, A)) )  => m1_subset_1(k3_funct_2(A, B, C, D), B)) ) ).
fof(redefinition_k3_funct_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  & m1_subset_1(D, A)) )  => k3_funct_2(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(dt_f1_s3_funct_2, axiom,  ~ (v1_xboole_0(f1_s3_funct_2)) ).
fof(dt_f2_s3_funct_2, axiom,  ~ (v1_xboole_0(f2_s3_funct_2)) ).
fof(dt_f1_s4_funct_2, axiom,  ~ (v1_xboole_0(f1_s4_funct_2)) ).
fof(dt_f2_s4_funct_2, axiom,  ~ (v1_xboole_0(f2_s4_funct_2)) ).
fof(dt_f3_s4_funct_2, axiom,  (! [A] : m1_subset_1(f3_s4_funct_2(A), f2_s4_funct_2)) ).
fof(dt_f1_s6_funct_2, axiom,  ~ (v1_xboole_0(f1_s6_funct_2)) ).
fof(dt_f2_s6_funct_2, axiom,  ~ (v1_xboole_0(f2_s6_funct_2)) ).
fof(dt_f3_s6_funct_2, axiom, m1_subset_1(f3_s6_funct_2, f1_s6_funct_2)).
fof(dt_f4_s6_funct_2, axiom, m1_subset_1(f4_s6_funct_2, f2_s6_funct_2)).
fof(dt_f5_s6_funct_2, axiom,  (! [A] : m1_subset_1(f5_s6_funct_2(A), f2_s6_funct_2)) ).
fof(dt_f1_s7_funct_2, axiom,  ~ (v1_xboole_0(f1_s7_funct_2)) ).
fof(dt_f2_s7_funct_2, axiom,  ~ (v1_xboole_0(f2_s7_funct_2)) ).
fof(dt_f3_s7_funct_2, axiom, m1_subset_1(f3_s7_funct_2, f1_s7_funct_2)).
fof(dt_f4_s7_funct_2, axiom, m1_subset_1(f4_s7_funct_2, f1_s7_funct_2)).
fof(dt_f5_s7_funct_2, axiom, m1_subset_1(f5_s7_funct_2, f2_s7_funct_2)).
fof(dt_f6_s7_funct_2, axiom, m1_subset_1(f6_s7_funct_2, f2_s7_funct_2)).
fof(dt_f7_s7_funct_2, axiom,  (! [A] : m1_subset_1(f7_s7_funct_2(A), f2_s7_funct_2)) ).
fof(dt_f1_s8_funct_2, axiom,  ~ (v1_xboole_0(f1_s8_funct_2)) ).
fof(dt_f1_s9_funct_2, axiom,  ~ (v1_xboole_0(f1_s9_funct_2)) ).
fof(dt_f2_s9_funct_2, axiom,  ~ (v1_xboole_0(f2_s9_funct_2)) ).
fof(dt_k4_funct_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(D) &  (v1_funct_2(D, A, k2_zfmisc_1(B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_zfmisc_1(B, C))))) ) ) ) )  =>  (v1_funct_1(k4_funct_2(A, B, C, D)) &  (v1_funct_2(k4_funct_2(A, B, C, D), A, B) & m1_subset_1(k4_funct_2(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ).
fof(redefinition_k4_funct_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(D) &  (v1_funct_2(D, A, k2_zfmisc_1(B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_zfmisc_1(B, C))))) ) ) ) )  => k4_funct_2(A, B, C, D)=k11_mcart_1(D)) ) ).
fof(dt_k5_funct_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(D) &  (v1_funct_2(D, A, k2_zfmisc_1(B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_zfmisc_1(B, C))))) ) ) ) )  =>  (v1_funct_1(k5_funct_2(A, B, C, D)) &  (v1_funct_2(k5_funct_2(A, B, C, D), A, C) & m1_subset_1(k5_funct_2(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, C)))) ) ) ) ).
fof(redefinition_k5_funct_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(D) &  (v1_funct_2(D, A, k2_zfmisc_1(B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_zfmisc_1(B, C))))) ) ) ) )  => k5_funct_2(A, B, C, D)=k12_mcart_1(D)) ) ).
fof(symmetry_r1_funct_2, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(D))  &  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_funct_1(F) &  (v1_funct_2(F, C, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, D)))) ) ) ) )  =>  (r1_funct_2(A, B, C, D, E, F) => r1_funct_2(A, B, C, D, F, E)) ) ) ).
fof(reflexivity_r1_funct_2, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(D))  &  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_funct_1(F) &  (v1_funct_2(F, C, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, D)))) ) ) ) )  => r1_funct_2(A, B, C, D, E, E)) ) ).
fof(redefinition_r1_funct_2, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(D))  &  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_funct_1(F) &  (v1_funct_2(F, C, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, D)))) ) ) ) )  =>  (r1_funct_2(A, B, C, D, E, F) <=> E=F) ) ) ).
fof(symmetry_r2_funct_2, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (r2_funct_2(A, B, C, D) => r2_funct_2(A, B, D, C)) ) ) ).
fof(reflexivity_r2_funct_2, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  => r2_funct_2(A, B, C, C)) ) ).
fof(redefinition_r2_funct_2, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (r2_funct_2(A, B, C, D) <=> C=D) ) ) ).
fof(dt_f1_s10_funct_2, axiom,  ~ (v1_xboole_0(f1_s10_funct_2)) ).
fof(dt_f2_s10_funct_2, axiom,  ~ (v1_xboole_0(f2_s10_funct_2)) ).
fof(dt_k6_funct_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  => m1_subset_1(k6_funct_2(A, B, C, D), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ).
fof(dt_k7_funct_2, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(A))))  => m1_subset_1(k7_funct_2(A, B, C, D), k1_zfmisc_1(k1_zfmisc_1(B)))) ) ).
fof(dt_k8_funct_2, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  &  (v1_relat_1(E) &  (v5_relat_1(E, B) & v1_funct_1(E)) ) ) )  =>  (v1_funct_1(k8_funct_2(A, B, C, D, E)) &  (v1_funct_2(k8_funct_2(A, B, C, D, E), A, B) & m1_subset_1(k8_funct_2(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ).
fof(dt_m1_funct_2, axiom,  (! [A, B] :  (! [C] :  (m1_funct_2(C, A, B) =>  ~ (v1_xboole_0(C)) ) ) ) ).
fof(existence_m1_funct_2, axiom,  (! [A, B] :  (? [C] : m1_funct_2(C, A, B)) ) ).
fof(dt_k9_funct_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  => m1_funct_2(k9_funct_2(A, B), A, B)) ) ).
fof(redefinition_k9_funct_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  => k9_funct_2(A, B)=k1_funct_2(A, B)) ) ).
fof(dt_m2_funct_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & m1_funct_2(C, A, B))  =>  (! [D] :  (m2_funct_2(D, A, B, C) =>  (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ) ).
fof(existence_m2_funct_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & m1_funct_2(C, A, B))  =>  (? [D] : m2_funct_2(D, A, B, C)) ) ) ).
fof(redefinition_m2_funct_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & m1_funct_2(C, A, B))  =>  (! [D] :  (m2_funct_2(D, A, B, C) <=> m1_subset_1(D, C)) ) ) ) ).
fof(dt_k10_funct_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) )  => m1_subset_1(k10_funct_2(A, B, C, D), B)) ) ).
fof(redefinition_k10_funct_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) )  => k10_funct_2(A, B, C, D)=k7_partfun1(B, C, D)) ) ).
fof(fc1_funct_3, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_xboole_0(A)) )  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k13_funct_3(A, B)) &  (v1_funct_1(k13_funct_3(A, B)) & v1_xboole_0(k13_funct_3(A, B))) ) ) ) ).
fof(fc2_funct_3, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_xboole_0(A)) )  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k13_funct_3(B, A)) &  (v1_funct_1(k13_funct_3(B, A)) & v1_xboole_0(k13_funct_3(B, A))) ) ) ) ).
fof(fc3_funct_3, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v2_funct_1(B)) ) )  =>  (v1_relat_1(k15_funct_3(A, B)) &  (v1_funct_1(k15_funct_3(A, B)) & v2_funct_1(k15_funct_3(A, B))) ) ) ) ).
fof(rc1_funct_3, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A))) &  (v1_relat_1(B) &  (v4_relat_1(B, k2_zfmisc_1(A, A)) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & v3_binop_1(B, A)) ) ) ) ) ) ) ) ).
fof(rd1_funct_3, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) &  (v3_binop_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) )  & m1_subset_1(C, A))  => k4_binop_1(A, B, C, C)=C) ) ).
fof(t1_funct_3, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) => k4_relat_1(A)=k5_relat_1(k4_relat_1(B), A)) ) ) ).
fof(t2_funct_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_tarski(A, k9_xtuple_0(k3_relat_1(B, C))) => r1_tarski(k7_relat_1(B, A), k9_xtuple_0(C))) ) ) ) ) ) ).
fof(t3_funct_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r1_tarski(A, k9_xtuple_0(B)) & r1_tarski(k7_relat_1(B, A), k9_xtuple_0(C)))  => r1_tarski(A, k9_xtuple_0(k3_relat_1(B, C)))) ) ) ) ) ) ).
fof(t4_funct_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r1_tarski(A, k10_xtuple_0(k3_relat_1(B, C))) & v2_funct_1(C))  => r1_tarski(k8_relat_1(C, A), k10_xtuple_0(B))) ) ) ) ) ) ).
fof(t5_funct_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r1_tarski(A, k10_xtuple_0(C)) & r1_tarski(k8_relat_1(C, A), k10_xtuple_0(B)))  => r1_tarski(A, k10_xtuple_0(k3_relat_1(B, C)))) ) ) ) ) ) ).
fof(t6_funct_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (k9_xtuple_0(C)=k2_zfmisc_1(A, B) &  (k9_xtuple_0(D)=k2_zfmisc_1(A, B) &  (! [E] :  (! [F] :  ( (r2_hidden(E, A) & r2_hidden(F, B))  => k1_binop_1(C, E, F)=k1_binop_1(D, E, F)) ) ) ) )  => C=D) ) ) ) ) ) ) ).
fof(d1_funct_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (B=k1_funct_3(A) <=>  (k9_xtuple_0(B)=k1_zfmisc_1(k9_xtuple_0(A)) &  (! [C] :  (r1_tarski(C, k9_xtuple_0(A)) => k1_funct_1(B, C)=k7_relat_1(A, C)) ) ) ) ) ) ) ) ).
fof(t7_funct_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_tarski(A, k9_xtuple_0(k1_funct_3(B))) => k1_funct_1(k1_funct_3(B), A)=k7_relat_1(B, A)) ) ) ) ).
fof(t8_funct_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => k1_funct_1(k1_funct_3(A), k1_xboole_0)=k1_xboole_0) ) ).
fof(t9_funct_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => r1_tarski(k10_xtuple_0(k1_funct_3(A)), k1_zfmisc_1(k10_xtuple_0(A)))) ) ).
fof(t10_funct_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => r1_tarski(k7_relat_1(k1_funct_3(B), A), k1_zfmisc_1(k10_xtuple_0(B)))) ) ) ).
fof(t11_funct_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => r1_tarski(k8_relat_1(k1_funct_3(B), A), k1_zfmisc_1(k9_xtuple_0(B)))) ) ) ).
fof(t12_funct_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  => r1_tarski(k8_relat_1(k1_funct_3(D), A), k1_zfmisc_1(B))) ) ) ) ) ) ).
fof(t13_funct_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => r1_tarski(k3_tarski(k7_relat_1(k1_funct_3(B), A)), k7_relat_1(B, k3_tarski(A)))) ) ) ).
fof(t14_funct_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_tarski(A, k1_zfmisc_1(k9_xtuple_0(B))) => k7_relat_1(B, k3_tarski(A))=k3_tarski(k7_relat_1(k1_funct_3(B), A))) ) ) ) ).
fof(t15_funct_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  (r1_tarski(A, k1_zfmisc_1(B)) => k7_relat_1(D, k3_tarski(A))=k3_tarski(k7_relat_1(k1_funct_3(D), A))) ) ) ) ) ) ) ).
fof(t16_funct_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => r1_tarski(k3_tarski(k8_relat_1(k1_funct_3(B), A)), k8_relat_1(B, k3_tarski(A)))) ) ) ).
fof(t17_funct_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_tarski(A, k1_zfmisc_1(k10_xtuple_0(B))) => k8_relat_1(B, k3_tarski(A))=k3_tarski(k8_relat_1(k1_funct_3(B), A))) ) ) ) ).
fof(t18_funct_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => k1_funct_3(k3_relat_1(A, B))=k3_relat_1(k1_funct_3(A), k1_funct_3(B))) ) ) ) ).
fof(t19_funct_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_funct_1(k1_funct_3(A)) &  (v1_funct_2(k1_funct_3(A), k1_zfmisc_1(k9_xtuple_0(A)), k1_zfmisc_1(k10_xtuple_0(A))) & m1_subset_1(k1_funct_3(A), k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(k9_xtuple_0(A)), k1_zfmisc_1(k10_xtuple_0(A)))))) ) ) ) ).
fof(t20_funct_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ( (B=k1_xboole_0 => A=k1_xboole_0)  =>  (v1_funct_1(k1_funct_3(C)) &  (v1_funct_2(k1_funct_3(C), k1_zfmisc_1(A), k1_zfmisc_1(B)) & m1_subset_1(k1_funct_3(C), k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A), k1_zfmisc_1(B))))) ) ) ) ) ) ) ).
fof(d2_funct_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (B=k3_funct_3(A) <=>  (k9_xtuple_0(B)=k1_zfmisc_1(k10_xtuple_0(A)) &  (! [C] :  (r1_tarski(C, k10_xtuple_0(A)) => k1_funct_1(B, C)=k8_relat_1(A, C)) ) ) ) ) ) ) ) ).
fof(t21_funct_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_tarski(A, k9_xtuple_0(k3_funct_3(B))) => k1_funct_1(k3_funct_3(B), A)=k8_relat_1(B, A)) ) ) ) ).
fof(t22_funct_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => r1_tarski(k10_xtuple_0(k3_funct_3(A)), k1_zfmisc_1(k9_xtuple_0(A)))) ) ).
fof(t23_funct_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => r1_tarski(k7_relat_1(k3_funct_3(B), A), k1_zfmisc_1(k9_xtuple_0(B)))) ) ) ).
fof(t24_funct_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => r1_tarski(k8_relat_1(k3_funct_3(B), A), k1_zfmisc_1(k10_xtuple_0(B)))) ) ) ).
fof(t25_funct_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => r1_tarski(k3_tarski(k7_relat_1(k3_funct_3(B), A)), k8_relat_1(B, k3_tarski(A)))) ) ) ).
fof(t26_funct_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_tarski(A, k1_zfmisc_1(k10_xtuple_0(B))) => k3_tarski(k7_relat_1(k3_funct_3(B), A))=k8_relat_1(B, k3_tarski(A))) ) ) ) ).
fof(t27_funct_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => r1_tarski(k3_tarski(k8_relat_1(k3_funct_3(B), A)), k7_relat_1(B, k3_tarski(A)))) ) ) ).
fof(t28_funct_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (r1_tarski(A, k1_zfmisc_1(k9_xtuple_0(B))) & v2_funct_1(B))  => k3_tarski(k8_relat_1(k3_funct_3(B), A))=k7_relat_1(B, k3_tarski(A))) ) ) ) ).
fof(t29_funct_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => r1_tarski(k7_relat_1(k3_funct_3(B), A), k8_relat_1(k1_funct_3(B), A))) ) ) ).
fof(t30_funct_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (v2_funct_1(B) => k7_relat_1(k3_funct_3(B), A)=k8_relat_1(k1_funct_3(B), A)) ) ) ) ).
fof(t31_funct_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (r1_tarski(B, k1_zfmisc_1(k9_xtuple_0(A))) => r1_tarski(k8_relat_1(k3_funct_3(A), B), k7_relat_1(k1_funct_3(A), B))) ) ) ) ).
fof(t32_funct_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (v2_funct_1(A) => r1_tarski(k7_relat_1(k1_funct_3(A), B), k8_relat_1(k3_funct_3(A), B))) ) ) ) ).
fof(t33_funct_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v2_funct_1(A) & r1_tarski(B, k1_zfmisc_1(k9_xtuple_0(A))))  => k8_relat_1(k3_funct_3(A), B)=k7_relat_1(k1_funct_3(A), B)) ) ) ) ).
fof(t34_funct_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (v2_funct_1(B) => k3_funct_3(k3_relat_1(A, B))=k3_relat_1(k3_funct_3(B), k3_funct_3(A))) ) ) ) ) ).
fof(t35_funct_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_funct_1(k3_funct_3(A)) &  (v1_funct_2(k3_funct_3(A), k1_zfmisc_1(k10_xtuple_0(A)), k1_zfmisc_1(k9_xtuple_0(A))) & m1_subset_1(k3_funct_3(A), k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(k10_xtuple_0(A)), k1_zfmisc_1(k9_xtuple_0(A)))))) ) ) ) ).
fof(d3_funct_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k4_funct_3(A, B) <=>  (k9_xtuple_0(C)=B &  (! [D] :  (r2_hidden(D, B) =>  ( (r2_hidden(D, A) => k1_funct_1(C, D)=1)  &  ( ~ (r2_hidden(D, A))  => k1_funct_1(C, D)=k5_ordinal1) ) ) ) ) ) ) ) ) ) ).
fof(t36_funct_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (k1_funct_1(k4_funct_3(A, B), C)=1 => r2_hidden(C, A)) ) ) ) ).
fof(t37_funct_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_tarski(A, k6_subset_1(C, B)) => k1_funct_1(k4_funct_3(B, C), A)=k5_ordinal1) ) ) ) ).
fof(t38_funct_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r1_tarski(A, C) &  (r1_tarski(B, C) & k4_funct_3(A, C)=k4_funct_3(B, C)) )  => A=B) ) ) ) ).
fof(t39_funct_3, axiom,  (! [A] :  (! [B] : r1_tarski(k10_xtuple_0(k4_funct_3(A, B)), k2_tarski(k5_ordinal1, 1))) ) ).
fof(t40_funct_3, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k2_tarski(k5_ordinal1, 1)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_tarski(k5_ordinal1, 1))))) )  => B=k4_funct_3(k8_relat_1(B, k1_tarski(1)), A)) ) ) ).
fof(t41_funct_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k6_funct_3(A, B)=k5_relat_1(k4_relat_1(A), B)) ) ) ).
fof(t42_funct_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (r2_tarski(A, C) => r2_tarski(k1_funct_1(k6_funct_3(B, C), A), B)) ) ) ) ) ).
fof(d4_funct_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k7_funct_3(A, B) <=>  (k9_xtuple_0(C)=k2_zfmisc_1(A, B) &  (! [D] :  (! [E] :  ( (r2_hidden(D, A) & r2_hidden(E, B))  => k1_binop_1(C, D, E)=D) ) ) ) ) ) ) ) ) ).
fof(d5_funct_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k8_funct_3(A, B) <=>  (k9_xtuple_0(C)=k2_zfmisc_1(A, B) &  (! [D] :  (! [E] :  ( (r2_hidden(D, A) & r2_hidden(E, B))  => k1_binop_1(C, D, E)=E) ) ) ) ) ) ) ) ) ).
fof(t43_funct_3, axiom,  (! [A] :  (! [B] : r1_tarski(k10_xtuple_0(k7_funct_3(A, B)), A)) ) ).
fof(t44_funct_3, axiom,  (! [A] :  (! [B] :  ( ~ (B=k1_xboole_0)  => k10_xtuple_0(k7_funct_3(A, B))=A) ) ) ).
fof(t45_funct_3, axiom,  (! [A] :  (! [B] : r1_tarski(k10_xtuple_0(k8_funct_3(A, B)), B)) ) ).
fof(t46_funct_3, axiom,  (! [A] :  (! [B] :  ( ~ (A=k1_xboole_0)  => k10_xtuple_0(k8_funct_3(A, B))=B) ) ) ).
fof(d6_funct_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (B=k11_funct_3(A) <=>  (k9_xtuple_0(B)=A &  (! [C] :  (r2_hidden(C, A) => k1_funct_1(B, C)=k4_tarski(C, C)) ) ) ) ) ) ) ).
fof(t47_funct_3, axiom,  (! [A] : r1_tarski(k10_xtuple_0(k11_funct_3(A)), k2_zfmisc_1(A, A))) ).
fof(d7_funct_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k13_funct_3(A, B) <=>  (k9_xtuple_0(C)=k3_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)) &  (! [D] :  (r2_hidden(D, k9_xtuple_0(C)) => k1_funct_1(C, D)=k4_tarski(k1_funct_1(A, D), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t48_funct_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r2_tarski(A, k3_xboole_0(k9_xtuple_0(B), k9_xtuple_0(C))) => k1_funct_1(k13_funct_3(B, C), A)=k4_tarski(k1_funct_1(B, A), k1_funct_1(C, A))) ) ) ) ) ) ).
fof(t49_funct_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (k9_xtuple_0(C)=B &  (k9_xtuple_0(D)=B & r2_tarski(A, B)) )  => k1_funct_1(k13_funct_3(C, D), A)=k4_tarski(k1_funct_1(C, A), k1_funct_1(D, A))) ) ) ) ) ) ) ).
fof(t50_funct_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (k9_xtuple_0(B)=A & k9_xtuple_0(C)=A)  => k9_xtuple_0(k13_funct_3(B, C))=A) ) ) ) ) ) ).
fof(t51_funct_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => r1_tarski(k10_xtuple_0(k13_funct_3(A, B)), k2_zfmisc_1(k10_xtuple_0(A), k10_xtuple_0(B)))) ) ) ) ).
fof(t52_funct_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (k9_xtuple_0(C)=k9_xtuple_0(D) &  (r1_tarski(k10_xtuple_0(C), A) & r1_tarski(k10_xtuple_0(D), B)) )  =>  (k3_relat_1(k13_funct_3(C, D), k9_funct_3(A, B))=C & k3_relat_1(k13_funct_3(C, D), k10_funct_3(A, B))=D) ) ) ) ) ) ) ) ).
fof(t53_funct_3, axiom,  (! [A] :  (! [B] : k13_funct_3(k9_funct_3(A, B), k10_funct_3(A, B))=k4_relat_1(k2_zfmisc_1(A, B))) ) ).
fof(t54_funct_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (k9_xtuple_0(A)=k9_xtuple_0(B) &  (k9_xtuple_0(D)=k9_xtuple_0(C) & k13_funct_3(A, B)=k13_funct_3(D, C)) )  =>  (A=D & B=C) ) ) ) ) ) ) ) ) ) ).
fof(t55_funct_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => k13_funct_3(k3_relat_1(C, A), k3_relat_1(C, B))=k3_relat_1(C, k13_funct_3(A, B))) ) ) ) ) ) ).
fof(t56_funct_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => r1_tarski(k7_relat_1(k13_funct_3(B, C), A), k2_zfmisc_1(k7_relat_1(B, A), k7_relat_1(C, A)))) ) ) ) ) ).
fof(t57_funct_3, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  => k8_relat_1(k13_funct_3(C, D), k2_zfmisc_1(A, B))=k3_xboole_0(k8_relat_1(C, A), k8_relat_1(D, B))) ) ) ) ) ) ) ).
fof(t58_funct_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  =>  ~ ( ( (B=k1_xboole_0 => A=k1_xboole_0)  &  ( (C=k1_xboole_0 => A=k1_xboole_0)  &  ~ ( (v1_funct_1(k13_funct_3(D, E)) &  (v1_funct_2(k13_funct_3(D, E), A, k2_zfmisc_1(B, C)) & m1_subset_1(k13_funct_3(D, E), k1_zfmisc_1(k2_zfmisc_1(A, k2_zfmisc_1(B, C))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_funct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  =>  (! [F] :  (m1_subset_1(F, A) => k3_funct_2(A, k2_zfmisc_1(B, C), k14_funct_3(A, B, C, D, E), F)=k4_tarski(k3_funct_2(A, B, D, F), k3_funct_2(A, C, E, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_funct_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  => r1_tarski(k10_xtuple_0(k13_funct_3(D, E)), k2_zfmisc_1(B, C))) ) ) ) ) ) ) ).
fof(t61_funct_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  =>  ~ ( ( (B=k1_xboole_0 => A=k1_xboole_0)  &  ( (C=k1_xboole_0 => A=k1_xboole_0)  &  ~ ( (k3_relat_1(k13_funct_3(D, E), k9_funct_3(B, C))=D & k3_relat_1(k13_funct_3(D, E), k10_funct_3(B, C))=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_funct_3, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  =>  (k3_relat_1(k14_funct_3(A, B, C, D, E), k9_funct_3(B, C))=D & k3_relat_1(k14_funct_3(A, B, C, D, E), k10_funct_3(B, C))=E) ) ) ) ) ) ) ) ) ) ).
fof(t63_funct_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  =>  (k13_funct_3(D, F)=k13_funct_3(E, G) =>  ( (B=k1_xboole_0 &  ~ (A=k1_xboole_0) )  |  ( (C=k1_xboole_0 &  ~ (A=k1_xboole_0) )  |  (r2_funct_2(A, B, D, E) & r2_funct_2(A, C, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_funct_3, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  =>  (r2_funct_2(A, k2_zfmisc_1(B, C), k14_funct_3(A, B, C, D, F), k14_funct_3(A, B, C, E, G)) =>  (r2_funct_2(A, B, D, E) & r2_funct_2(A, C, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_funct_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k15_funct_3(A, B) <=>  (k9_xtuple_0(C)=k2_zfmisc_1(k9_xtuple_0(A), k9_xtuple_0(B)) &  (! [D] :  (! [E] :  ( (r2_hidden(D, k9_xtuple_0(A)) & r2_hidden(E, k9_xtuple_0(B)))  => k1_binop_1(C, D, E)=k4_tarski(k1_funct_1(A, D), k1_funct_1(B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_funct_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (! [D] :  (r2_hidden(k4_tarski(C, D), k2_zfmisc_1(k9_xtuple_0(A), k9_xtuple_0(B))) => k1_binop_1(k15_funct_3(A, B), C, D)=k4_tarski(k1_funct_1(A, C), k1_funct_1(B, D))) ) ) ) ) ) ) ).
fof(t66_funct_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => k15_funct_3(A, B)=k13_funct_3(k3_relat_1(k9_funct_3(k9_xtuple_0(A), k9_xtuple_0(B)), A), k3_relat_1(k10_funct_3(k9_xtuple_0(A), k9_xtuple_0(B)), B))) ) ) ) ).
fof(t67_funct_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => k10_xtuple_0(k15_funct_3(A, B))=k2_zfmisc_1(k10_xtuple_0(A), k10_xtuple_0(B))) ) ) ) ).
fof(t68_funct_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (k9_xtuple_0(B)=A & k9_xtuple_0(C)=A)  => k13_funct_3(B, C)=k3_relat_1(k12_funct_3(A), k15_funct_3(B, C))) ) ) ) ) ) ).
fof(t69_funct_3, axiom,  (! [A] :  (! [B] : k15_funct_3(k4_relat_1(A), k4_relat_1(B))=k4_relat_1(k2_zfmisc_1(A, B))) ) ).
fof(t70_funct_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  => k3_relat_1(k13_funct_3(B, D), k15_funct_3(A, C))=k13_funct_3(k3_relat_1(B, A), k3_relat_1(D, C))) ) ) ) ) ) ) ) ).
fof(t71_funct_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  => k3_relat_1(k15_funct_3(B, D), k15_funct_3(A, C))=k15_funct_3(k3_relat_1(B, A), k3_relat_1(D, C))) ) ) ) ) ) ) ) ).
fof(t72_funct_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  => k7_relat_1(k15_funct_3(C, D), k2_zfmisc_1(B, A))=k2_zfmisc_1(k7_relat_1(C, B), k7_relat_1(D, A))) ) ) ) ) ) ).
fof(t73_funct_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  => k8_relat_1(k15_funct_3(C, D), k2_zfmisc_1(B, A))=k2_zfmisc_1(k8_relat_1(C, B), k8_relat_1(D, A))) ) ) ) ) ) ).
fof(t74_funct_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, D)))) )  =>  (v1_funct_1(k15_funct_3(E, F)) &  (v1_funct_2(k15_funct_3(E, F), k2_zfmisc_1(B, A), k2_zfmisc_1(C, D)) & m1_subset_1(k15_funct_3(E, F), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, A), k2_zfmisc_1(C, D))))) ) ) ) ) ) ) ) ) ) ).
fof(t75_funct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, D)))) )  =>  (! [G] :  (m1_subset_1(G, A) =>  (! [H] :  (m1_subset_1(H, B) => k2_binop_1(A, B, k2_zfmisc_1(C, D), k16_funct_3(A, B, C, D, E, F), G, H)=k4_tarski(k3_funct_2(A, C, E, G), k3_funct_2(B, D, F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t76_funct_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, D)))) )  =>  ~ ( ( (C=k1_xboole_0 => A=k1_xboole_0)  &  ( (D=k1_xboole_0 => B=k1_xboole_0)  &  ~ (k16_funct_3(A, B, C, D, E, F)=k13_funct_3(k3_relat_1(k9_funct_3(A, B), E), k3_relat_1(k10_funct_3(A, B), F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t77_funct_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, D)))) )  => k16_funct_3(A, B, C, D, E, F)=k13_funct_3(k3_relat_1(k9_funct_3(A, B), E), k3_relat_1(k10_funct_3(A, B), F))) ) ) ) ) ) ) ) ) ) ).
fof(t78_funct_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  => k13_funct_3(D, E)=k3_relat_1(k12_funct_3(A), k16_funct_3(A, A, B, C, D, E))) ) ) ) ) ) ) ).
fof(t79_funct_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => k7_relat_1(k9_funct_3(k9_xtuple_0(A), k10_xtuple_0(A)), A)=k9_xtuple_0(A)) ) ).
fof(t80_funct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k2_zfmisc_1(B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_zfmisc_1(B, C))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k2_zfmisc_1(B, C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k2_zfmisc_1(B, C))))) )  =>  ( (k3_relat_1(D, k9_funct_3(B, C))=k3_relat_1(E, k9_funct_3(B, C)) & k3_relat_1(D, k10_funct_3(B, C))=k3_relat_1(E, k10_funct_3(B, C)))  => r2_funct_2(A, k2_zfmisc_1(B, C), D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t81_funct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, D)))) )  =>  (! [G] :  ( ( ~ (v1_xboole_0(G))  & m1_subset_1(G, k1_zfmisc_1(A)))  =>  (! [H] :  ( ( ~ (v1_xboole_0(H))  & m1_subset_1(H, k1_zfmisc_1(B)))  => r8_binop_1(G, H, k2_zfmisc_1(C, D), k17_funct_3(k2_zfmisc_1(A, B), k2_zfmisc_1(C, D), k16_funct_3(A, B, C, D, E, F), k8_mcart_1(A, B, G, H)), k16_funct_3(G, H, C, D, k17_funct_3(A, C, E, G), k17_funct_3(B, D, F, H)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_funct_3, axiom,  ( ( (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (r2_hidden(A, f1_s1_funct_3) &  (r2_hidden(B, f2_s1_funct_3) &  (p1_s1_funct_3(A, B, C) & p1_s1_funct_3(A, B, D)) ) )  => C=D) ) ) ) )  &  (! [A] :  (! [B] :  ~ ( (r2_hidden(A, f1_s1_funct_3) &  (r2_hidden(B, f2_s1_funct_3) &  (! [C] :  ~ (p1_s1_funct_3(A, B, C)) ) ) ) ) ) ) )  =>  (? [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  &  (k9_xtuple_0(A)=k2_zfmisc_1(f1_s1_funct_3, f2_s1_funct_3) &  (! [B] :  (! [C] :  ( (r2_hidden(B, f1_s1_funct_3) & r2_hidden(C, f2_s1_funct_3))  => p1_s1_funct_3(B, C, k1_binop_1(A, B, C))) ) ) ) ) ) ) ).
fof(s2_funct_3, axiom,  (? [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  &  (k9_xtuple_0(A)=k2_zfmisc_1(f1_s2_funct_3, f2_s2_funct_3) &  (! [B] :  (! [C] :  ( (r2_hidden(B, f1_s2_funct_3) & r2_hidden(C, f2_s2_funct_3))  => k1_binop_1(A, B, C)=f3_s2_funct_3(B, C)) ) ) ) ) ) ).
fof(dt_k1_funct_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k1_funct_3(A)) & v1_funct_1(k1_funct_3(A))) ) ) ).
fof(dt_k2_funct_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (v1_funct_1(k2_funct_3(A, B, C)) &  (v1_funct_2(k2_funct_3(A, B, C), k1_zfmisc_1(A), k1_zfmisc_1(B)) & m1_subset_1(k2_funct_3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A), k1_zfmisc_1(B))))) ) ) ) ).
fof(redefinition_k2_funct_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  => k2_funct_3(A, B, C)=k1_funct_3(C)) ) ).
fof(dt_k3_funct_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k3_funct_3(A)) & v1_funct_1(k3_funct_3(A))) ) ) ).
fof(dt_k4_funct_3, axiom,  (! [A, B] :  (v1_relat_1(k4_funct_3(A, B)) & v1_funct_1(k4_funct_3(A, B))) ) ).
fof(dt_k5_funct_3, axiom,  (! [A, B] :  (v1_funct_1(k5_funct_3(A, B)) &  (v1_funct_2(k5_funct_3(A, B), B, k2_tarski(k5_ordinal1, 1)) & m1_subset_1(k5_funct_3(A, B), k1_zfmisc_1(k2_zfmisc_1(B, k2_tarski(k5_ordinal1, 1))))) ) ) ).
fof(redefinition_k5_funct_3, axiom,  (! [A, B] : k5_funct_3(A, B)=k4_funct_3(A, B)) ).
fof(dt_k6_funct_3, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (v1_funct_1(k6_funct_3(A, B)) &  (v1_funct_2(k6_funct_3(A, B), B, A) & m1_subset_1(k6_funct_3(A, B), k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) ) ).
fof(redefinition_k6_funct_3, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k6_funct_3(A, B)=k4_relat_1(B)) ) ).
fof(dt_k7_funct_3, axiom,  (! [A, B] :  (v1_relat_1(k7_funct_3(A, B)) & v1_funct_1(k7_funct_3(A, B))) ) ).
fof(dt_k8_funct_3, axiom,  (! [A, B] :  (v1_relat_1(k8_funct_3(A, B)) & v1_funct_1(k8_funct_3(A, B))) ) ).
fof(dt_k9_funct_3, axiom,  (! [A, B] :  (v1_funct_1(k9_funct_3(A, B)) &  (v1_funct_2(k9_funct_3(A, B), k2_zfmisc_1(A, B), A) & m1_subset_1(k9_funct_3(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), A)))) ) ) ).
fof(redefinition_k9_funct_3, axiom,  (! [A, B] : k9_funct_3(A, B)=k7_funct_3(A, B)) ).
fof(dt_k10_funct_3, axiom,  (! [A, B] :  (v1_funct_1(k10_funct_3(A, B)) &  (v1_funct_2(k10_funct_3(A, B), k2_zfmisc_1(A, B), B) & m1_subset_1(k10_funct_3(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), B)))) ) ) ).
fof(redefinition_k10_funct_3, axiom,  (! [A, B] : k10_funct_3(A, B)=k8_funct_3(A, B)) ).
fof(dt_k11_funct_3, axiom,  (! [A] :  (v1_relat_1(k11_funct_3(A)) & v1_funct_1(k11_funct_3(A))) ) ).
fof(dt_k12_funct_3, axiom,  (! [A] :  (v1_funct_1(k12_funct_3(A)) &  (v1_funct_2(k12_funct_3(A), A, k2_zfmisc_1(A, A)) & m1_subset_1(k12_funct_3(A), k1_zfmisc_1(k2_zfmisc_1(A, k2_zfmisc_1(A, A))))) ) ) ).
fof(redefinition_k12_funct_3, axiom,  (! [A] : k12_funct_3(A)=k11_funct_3(A)) ).
fof(dt_k13_funct_3, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k13_funct_3(A, B)) & v1_funct_1(k13_funct_3(A, B))) ) ) ).
fof(dt_k14_funct_3, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, C)))) ) ) ) )  =>  (v1_funct_1(k14_funct_3(A, B, C, D, E)) &  (v1_funct_2(k14_funct_3(A, B, C, D, E), A, k2_zfmisc_1(B, C)) & m1_subset_1(k14_funct_3(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(A, k2_zfmisc_1(B, C))))) ) ) ) ).
fof(redefinition_k14_funct_3, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, C)))) ) ) ) )  => k14_funct_3(A, B, C, D, E)=k13_funct_3(D, E)) ) ).
fof(dt_k15_funct_3, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k15_funct_3(A, B)) & v1_funct_1(k15_funct_3(A, B))) ) ) ).
fof(dt_k16_funct_3, axiom,  (! [A, B, C, D, E, F] :  ( ( (v1_funct_1(E) &  (v1_funct_2(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  &  (v1_funct_1(F) &  (v1_funct_2(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, D)))) ) )  =>  (v1_funct_1(k16_funct_3(A, B, C, D, E, F)) &  (v1_funct_2(k16_funct_3(A, B, C, D, E, F), k2_zfmisc_1(A, B), k2_zfmisc_1(C, D)) & m1_subset_1(k16_funct_3(A, B, C, D, E, F), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k2_zfmisc_1(C, D))))) ) ) ) ).
fof(redefinition_k16_funct_3, axiom,  (! [A, B, C, D, E, F] :  ( ( (v1_funct_1(E) &  (v1_funct_2(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  &  (v1_funct_1(F) &  (v1_funct_2(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, D)))) ) )  => k16_funct_3(A, B, C, D, E, F)=k15_funct_3(E, F)) ) ).
fof(dt_k17_funct_3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  & m1_subset_1(D, k1_zfmisc_1(A))) )  =>  (v1_funct_1(k17_funct_3(A, B, C, D)) &  (v1_funct_2(k17_funct_3(A, B, C, D), D, B) & m1_subset_1(k17_funct_3(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(D, B)))) ) ) ) ).
fof(redefinition_k17_funct_3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  & m1_subset_1(D, k1_zfmisc_1(A))) )  => k17_funct_3(A, B, C, D)=k5_relat_1(C, D)) ) ).
fof(rd1_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_xboole_0(B)) ) )  => k1_funct_4(B, A)=A) ) ).
fof(rd2_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_xboole_0(B)) ) )  => k1_funct_4(A, B)=A) ) ).
fof(fc1_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_xboole_0(A)) )  =>  (v1_relat_1(k2_funct_4(A)) &  (v1_funct_1(k2_funct_4(A)) & v1_xboole_0(k2_funct_4(A))) ) ) ) ).
fof(fc2_funct_4, axiom,  (! [A, B, C, D] :  (v1_relat_1(k6_funct_4(A, B, C, D)) & v1_funct_1(k6_funct_4(A, B, C, D))) ) ).
fof(rd3_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  => k1_funct_4(k1_funct_4(A, B), B)=k1_funct_4(A, B)) ) ).
fof(fc3_funct_4, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k8_funct_4(A, B, C)) & v1_funct_1(k8_funct_4(A, B, C))) ) ) ).
fof(fc4_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) &  (v1_funct_1(B) &  ~ (v1_xboole_0(B)) ) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) &  ~ (v1_xboole_0(k1_funct_4(A, B))) ) ) ) ) ).
fof(fc5_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) &  (v1_funct_1(B) &  ~ (v1_xboole_0(B)) ) ) )  =>  (v1_relat_1(k1_funct_4(B, A)) &  (v1_funct_1(k1_funct_4(B, A)) &  ~ (v1_xboole_0(k1_funct_4(B, A))) ) ) ) ) ).
fof(fc6_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) & v1_funct_1(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v2_relat_1(k1_funct_4(A, B)) & v1_funct_1(k1_funct_4(A, B))) ) ) ) ).
fof(fc7_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_funcop_1(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v1_funcop_1(k1_funct_4(A, B))) ) ) ) ).
fof(fc8_funct_4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) & v1_funct_1(B)) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) & v1_funct_1(C)) ) )  =>  (v1_relat_1(k1_funct_4(B, C)) &  (v4_relat_1(k1_funct_4(B, C), A) & v1_funct_1(k1_funct_4(B, C))) ) ) ) ).
fof(fc9_funct_4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) & v1_funct_1(C)) ) )  =>  (v1_relat_1(k1_funct_4(B, C)) &  (v4_relat_1(k1_funct_4(B, C), A) &  (v1_funct_1(k1_funct_4(B, C)) & v1_partfun1(k1_funct_4(B, C), A)) ) ) ) ) ).
fof(fc10_funct_4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) & v1_funct_1(C)) ) )  =>  (v1_relat_1(k1_funct_4(C, B)) &  (v4_relat_1(k1_funct_4(C, B), A) &  (v1_funct_1(k1_funct_4(C, B)) & v1_partfun1(k1_funct_4(C, B), A)) ) ) ) ) ).
fof(fc11_funct_4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  &  (v1_relat_1(C) &  (v5_relat_1(C, A) & v1_funct_1(C)) ) )  =>  (v1_relat_1(k1_funct_4(B, C)) &  (v5_relat_1(k1_funct_4(B, C), A) & v1_funct_1(k1_funct_4(B, C))) ) ) ) ).
fof(fc12_funct_4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  ( (v1_relat_1(B) &  (v1_funct_1(B) & v5_funct_1(B, A)) )  &  (v1_relat_1(C) &  (v1_funct_1(C) & v5_funct_1(C, A)) ) ) )  =>  (v1_relat_1(k1_funct_4(B, C)) &  (v1_funct_1(k1_funct_4(B, C)) & v5_funct_1(k1_funct_4(B, C), A)) ) ) ) ).
fof(fc13_funct_4, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => v4_relat_1(k6_funct_4(B, C, D, E), A)) ) ).
fof(fc14_funct_4, axiom,  (! [A, B] : v1_zfmisc_1(k17_funcop_1(A, B))) ).
fof(fc15_funct_4, axiom,  (! [A, B, C, D, E, F] :  (v1_relat_1(k11_funct_4(A, B, C, D, E, F)) & v1_funct_1(k11_funct_4(A, B, C, D, E, F))) ) ).
fof(fc16_funct_4, axiom,  (! [A, B, C, D, E, F, G, H] :  (v1_relat_1(k12_funct_4(A, B, C, D, E, F, G, H)) & v1_funct_1(k12_funct_4(A, B, C, D, E, F, G, H))) ) ).
fof(t1_funct_4, axiom,  (! [A] :  ~ ( ( (! [B] :  ~ ( (r2_hidden(B, A) &  (! [C] :  (! [D] :  ~ (B=k4_tarski(C, D)) ) ) ) ) )  &  (! [B] :  (! [C] :  ~ (r1_tarski(A, k2_zfmisc_1(B, C))) ) ) ) ) ) ).
fof(t2_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => k3_relat_1(A, B)=k3_relat_1(A, k5_relat_1(B, k10_xtuple_0(A)))) ) ) ) ).
fof(t3_funct_4, axiom,  (! [A] :  (! [B] :  (r1_relset_1(A, A, k6_partfun1(A), k6_partfun1(B)) <=> r1_tarski(A, B)) ) ) ).
fof(t4_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (r1_tarski(B, C) => r1_relset_1(B, k1_tarski(A), k7_funcop_1(B, A), k7_funcop_1(C, A))) ) ) ) ).
fof(t5_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (r1_relset_1(A, k1_tarski(C), k7_funcop_1(A, C), k7_funcop_1(B, D)) => r1_tarski(A, B)) ) ) ) ) ).
fof(t6_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (r1_relset_1(A, k1_tarski(C), k7_funcop_1(A, C), k7_funcop_1(B, D)) =>  (A=k1_xboole_0 | C=D) ) ) ) ) ) ).
fof(t7_funct_4, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_hidden(A, k9_xtuple_0(B)) => r1_tarski(k17_funcop_1(A, k1_funct_1(B, A)), B)) ) ) ) ).
fof(t8_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => r1_tarski(k5_relat_1(k6_relat_1(B, C), A), C)) ) ) ) ).
fof(t9_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r1_tarski(C, D) => r1_tarski(k5_relat_1(k6_relat_1(B, C), A), k5_relat_1(k6_relat_1(B, D), A))) ) ) ) ) ) ) ).
fof(d1_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k1_funct_4(A, B) <=>  (k9_xtuple_0(C)=k2_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)) &  (! [D] :  (r2_hidden(D, k2_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B))) =>  ( (r2_hidden(D, k9_xtuple_0(B)) => k1_funct_1(C, D)=k1_funct_1(B, D))  &  ( ~ (r2_hidden(D, k9_xtuple_0(B)))  => k1_funct_1(C, D)=k1_funct_1(A, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_tarski(k9_xtuple_0(A), k9_xtuple_0(k1_funct_4(A, B))) & r1_tarski(k9_xtuple_0(B), k9_xtuple_0(k1_funct_4(A, B)))) ) ) ) ) ).
fof(t11_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( ~ (r2_hidden(C, k9_xtuple_0(B)))  => k1_funct_1(k1_funct_4(A, B), C)=k1_funct_1(A, C)) ) ) ) ) ) ).
fof(t12_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (r2_hidden(C, k9_xtuple_0(k1_funct_4(A, B))) <=>  (r2_hidden(C, k9_xtuple_0(A)) | r2_hidden(C, k9_xtuple_0(B))) ) ) ) ) ) ) ).
fof(t13_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (r2_hidden(C, k9_xtuple_0(B)) => k1_funct_1(k1_funct_4(A, B), C)=k1_funct_1(B, C)) ) ) ) ) ) ).
fof(t14_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => k1_funct_4(k1_funct_4(A, B), C)=k1_funct_4(A, k1_funct_4(B, C))) ) ) ) ) ) ).
fof(t15_funct_4, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r1_partfun1(B, C) & r2_hidden(A, k9_xtuple_0(B)))  => k1_funct_1(k1_funct_4(B, C), A)=k1_funct_1(B, A)) ) ) ) ) ) ).
fof(t16_funct_4, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r1_xboole_0(k9_xtuple_0(B), k9_xtuple_0(C)) & r2_hidden(A, k9_xtuple_0(B)))  => k1_funct_1(k1_funct_4(B, C), A)=k1_funct_1(B, A)) ) ) ) ) ) ).
fof(t17_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => r1_tarski(k10_xtuple_0(k1_funct_4(A, B)), k2_xboole_0(k10_xtuple_0(A), k10_xtuple_0(B)))) ) ) ) ).
fof(t18_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => r1_tarski(k10_xtuple_0(B), k10_xtuple_0(k1_funct_4(A, B)))) ) ) ) ).
fof(t19_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_tarski(k9_xtuple_0(A), k9_xtuple_0(B)) => k1_funct_4(A, B)=B) ) ) ) ) ).
fof(t20_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => k1_funct_4(k1_xboole_0, A)=A) ) ).
fof(t21_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => k1_funct_4(A, k1_xboole_0)=A) ) ).
fof(t22_funct_4, axiom,  (! [A] :  (! [B] : k1_funct_4(k6_partfun1(A), k6_partfun1(B))=k6_partfun1(k2_xboole_0(A, B))) ) ).
fof(t23_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => k5_relat_1(k1_funct_4(A, B), k9_xtuple_0(B))=B) ) ) ) ).
fof(t24_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => r1_tarski(k5_relat_1(k1_funct_4(A, B), k6_subset_1(k9_xtuple_0(A), k9_xtuple_0(B))), A)) ) ) ) ).
fof(t25_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => r1_tarski(B, k1_funct_4(A, B))) ) ) ) ).
fof(t26_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_partfun1(A, k1_funct_4(B, C)) => r1_partfun1(k5_relat_1(A, k6_subset_1(k9_xtuple_0(A), k9_xtuple_0(C))), B)) ) ) ) ) ) ) ).
fof(t27_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_partfun1(A, k1_funct_4(B, C)) => r1_partfun1(A, C)) ) ) ) ) ) ) ).
fof(t28_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_partfun1(A, B) <=> r1_tarski(A, k1_funct_4(A, B))) ) ) ) ) ).
fof(t29_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => r1_tarski(k1_funct_4(A, B), k2_xboole_0(A, B))) ) ) ) ).
fof(t30_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_partfun1(A, B) <=> k2_xboole_0(A, B)=k1_funct_4(A, B)) ) ) ) ) ).
fof(t31_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)) => k2_xboole_0(A, B)=k1_funct_4(A, B)) ) ) ) ) ).
fof(t32_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)) => r1_tarski(A, k1_funct_4(A, B))) ) ) ) ) ).
fof(t33_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)) => k5_relat_1(k1_funct_4(A, B), k9_xtuple_0(A))=A) ) ) ) ) ).
fof(t34_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_partfun1(A, B) <=> k1_funct_4(A, B)=k1_funct_4(B, A)) ) ) ) ) ).
fof(t35_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)) => k1_funct_4(A, B)=k1_funct_4(B, A)) ) ) ) ) ).
fof(t36_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (v1_partfun1(D, A) => k1_funct_4(C, D)=D) ) ) ) ) ) ) ).
fof(t37_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  => k1_funct_4(C, D)=D) ) ) ) ) ) ).
fof(t38_funct_4, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  => k1_funct_4(B, C)=C) ) ) ) ) ).
fof(t39_funct_4, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  => k1_funct_4(C, D)=D) ) ) ) ) ) ) ).
fof(t40_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (v1_funct_1(k1_funct_4(C, D)) & m1_subset_1(k1_funct_4(C, D), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ) ) ).
fof(d2_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (B=k2_funct_4(A) <=>  ( (! [C] :  (r2_hidden(C, k9_xtuple_0(B)) <=>  (? [D] :  (? [E] :  (C=k4_tarski(E, D) & r2_hidden(k4_tarski(D, E), k9_xtuple_0(A))) ) ) ) )  &  (! [C] :  (! [D] :  (r2_hidden(k4_tarski(C, D), k9_xtuple_0(A)) => k1_binop_1(B, D, C)=k1_binop_1(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t41_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => r1_tarski(k10_xtuple_0(k2_funct_4(A)), k10_xtuple_0(A))) ) ).
fof(t42_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(B, C), k9_xtuple_0(A)) <=> r2_hidden(k4_tarski(C, B), k9_xtuple_0(k2_funct_4(A)))) ) ) ) ) ).
fof(t43_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(C, B), k9_xtuple_0(k2_funct_4(A))) => k1_binop_1(k2_funct_4(A), C, B)=k1_binop_1(A, B, C)) ) ) ) ) ).
fof(t44_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (? [B] :  (? [C] : r1_tarski(k9_xtuple_0(k2_funct_4(A)), k2_zfmisc_1(B, C))) ) ) ) ).
fof(t45_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_tarski(k9_xtuple_0(C), k2_zfmisc_1(A, B)) => r1_tarski(k9_xtuple_0(k2_funct_4(C)), k2_zfmisc_1(B, A))) ) ) ) ) ).
fof(t46_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (k9_xtuple_0(C)=k2_zfmisc_1(A, B) => k9_xtuple_0(k2_funct_4(C))=k2_zfmisc_1(B, A)) ) ) ) ) ).
fof(t47_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_tarski(k9_xtuple_0(C), k2_zfmisc_1(A, B)) => k10_xtuple_0(k2_funct_4(C))=k10_xtuple_0(C)) ) ) ) ) ).
fof(t48_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C))))  =>  (v1_funct_1(k2_funct_4(D)) & m1_subset_1(k2_funct_4(D), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, A), C)))) ) ) ) ) ) ).
fof(t49_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (v1_funct_1(k3_funct_4(A, B, C, D)) &  (v1_funct_2(k3_funct_4(A, B, C, D), k2_zfmisc_1(B, A), C) & m1_subset_1(k3_funct_4(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, A), C)))) ) ) ) ) ) ) ).
fof(t50_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (v1_funct_1(k4_funct_4(A, B, C, D)) &  (v1_funct_2(k4_funct_4(A, B, C, D), k2_zfmisc_1(B, A), C) & m1_subset_1(k4_funct_4(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, A), C)))) ) ) ) ) ) ) ).
fof(t51_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => r1_tarski(k2_funct_4(k2_funct_4(A)), A)) ) ).
fof(t52_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_tarski(k9_xtuple_0(C), k2_zfmisc_1(A, B)) => k2_funct_4(k2_funct_4(C))=C) ) ) ) ) ).
fof(t53_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C))))  => r2_relset_1(k2_zfmisc_1(A, B), C, k3_funct_4(B, A, C, k3_funct_4(A, B, C, D)), D)) ) ) ) ) ).
fof(d3_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k5_funct_4(A, B) <=>  ( (! [D] :  (r2_hidden(D, k9_xtuple_0(C)) <=>  (? [E] :  (? [F] :  (? [G] :  (? [H] :  (D=k4_tarski(k4_tarski(E, G), k4_tarski(F, H)) &  (r2_hidden(k4_tarski(E, F), k9_xtuple_0(A)) & r2_hidden(k4_tarski(G, H), k9_xtuple_0(B))) ) ) ) ) ) ) )  &  (! [D] :  (! [E] :  (! [F] :  (! [G] :  ( (r2_hidden(k4_tarski(D, E), k9_xtuple_0(A)) & r2_hidden(k4_tarski(F, G), k9_xtuple_0(B)))  => k1_binop_1(C, k4_tarski(D, F), k4_tarski(E, G))=k4_tarski(k1_binop_1(A, D, E), k1_binop_1(B, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  (r2_hidden(k4_tarski(k4_tarski(A, B), k4_tarski(C, D)), k9_xtuple_0(k5_funct_4(E, F))) <=>  (r2_hidden(k4_tarski(A, C), k9_xtuple_0(E)) & r2_hidden(k4_tarski(B, D), k9_xtuple_0(F))) ) ) ) ) ) ) ) ) ) ).
fof(t55_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  (r2_hidden(k4_tarski(k4_tarski(A, B), k4_tarski(C, D)), k9_xtuple_0(k5_funct_4(E, F))) => k1_binop_1(k5_funct_4(E, F), k4_tarski(A, B), k4_tarski(C, D))=k4_tarski(k1_binop_1(E, A, C), k1_binop_1(F, B, D))) ) ) ) ) ) ) ) ) ).
fof(t56_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => r1_tarski(k10_xtuple_0(k5_funct_4(A, B)), k2_zfmisc_1(k10_xtuple_0(A), k10_xtuple_0(B)))) ) ) ) ).
fof(t57_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  ( (r1_tarski(k9_xtuple_0(E), k2_zfmisc_1(A, C)) & r1_tarski(k9_xtuple_0(F), k2_zfmisc_1(B, D)))  => r1_tarski(k9_xtuple_0(k5_funct_4(E, F)), k2_zfmisc_1(k2_zfmisc_1(A, B), k2_zfmisc_1(C, D)))) ) ) ) ) ) ) ) ) ).
fof(t58_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  ( (k9_xtuple_0(E)=k2_zfmisc_1(A, C) & k9_xtuple_0(F)=k2_zfmisc_1(B, D))  => k9_xtuple_0(k5_funct_4(E, F))=k2_zfmisc_1(k2_zfmisc_1(A, B), k2_zfmisc_1(C, D))) ) ) ) ) ) ) ) ) ).
fof(t59_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, C), E))))  =>  (! [H] :  ( (v1_funct_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, D), F))))  =>  (v1_funct_1(k5_funct_4(G, H)) & m1_subset_1(k5_funct_4(G, H), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k2_zfmisc_1(C, D)), k2_zfmisc_1(E, F))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(A, C), E) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, C), E)))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k2_zfmisc_1(B, D), F) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, D), F)))) )  =>  ~ ( ( ~ (E=k1_xboole_0)  &  ( ~ (F=k1_xboole_0)  &  ~ ( (v1_funct_1(k5_funct_4(G, H)) &  (v1_funct_2(k5_funct_4(G, H), k2_zfmisc_1(k2_zfmisc_1(A, B), k2_zfmisc_1(C, D)), k2_zfmisc_1(E, F)) & m1_subset_1(k5_funct_4(G, H), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k2_zfmisc_1(C, D)), k2_zfmisc_1(E, F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  ( ~ (v1_xboole_0(F))  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(A, C), E) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, C), E)))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k2_zfmisc_1(B, D), F) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, D), F)))) )  =>  (v1_funct_1(k5_funct_4(G, H)) &  (v1_funct_2(k5_funct_4(G, H), k2_zfmisc_1(k2_zfmisc_1(A, B), k2_zfmisc_1(C, D)), k2_zfmisc_1(E, F)) & m1_subset_1(k5_funct_4(G, H), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k2_zfmisc_1(C, D)), k2_zfmisc_1(E, F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k6_funct_4(A, B, C, D)=k1_funct_4(k17_funcop_1(A, C), k17_funcop_1(B, D))) ) ) ) ).
fof(t62_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (k9_xtuple_0(k6_funct_4(A, B, C, D))=k2_tarski(A, B) & r1_tarski(k10_xtuple_0(k6_funct_4(A, B, C, D)), k2_tarski(C, D))) ) ) ) ) ).
fof(t63_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ( ~ (A=B)  => k1_funct_1(k6_funct_4(A, B, C, D), A)=C)  & k1_funct_1(k6_funct_4(A, B, C, D), B)=D) ) ) ) ) ).
fof(t64_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ~ (A=B)  => k10_xtuple_0(k6_funct_4(A, B, C, D))=k2_tarski(C, D)) ) ) ) ) ).
fof(t65_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] : k6_funct_4(A, B, C, C)=k7_funcop_1(k2_tarski(A, B), C)) ) ) ).
fof(t66_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  ( (k9_xtuple_0(E)=k2_tarski(A, B) &  (k1_funct_1(E, A)=C & k1_funct_1(E, B)=D) )  => E=k6_funct_4(A, B, C, D)) ) ) ) ) ) ) ).
fof(t67_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ~ (A=C)  => k6_funct_4(A, C, B, D)=k2_tarski(k4_tarski(A, B), k4_tarski(C, D))) ) ) ) ) ).
fof(t68_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (k6_funct_4(A, B, C, D)=k6_funct_4(A, B, E, F) =>  (A=B |  (C=E & D=F) ) ) ) ) ) ) ) ) ).
fof(t69_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (r1_tarski(k10_xtuple_0(C), k9_xtuple_0(A)) &  (r1_tarski(k10_xtuple_0(D), k9_xtuple_0(B)) & r1_partfun1(A, B)) )  => k3_relat_1(k1_funct_4(C, D), k1_funct_4(A, B))=k1_funct_4(k3_relat_1(C, A), k3_relat_1(D, B))) ) ) ) ) ) ) ) ) ).
fof(t70_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (r1_tarski(k9_xtuple_0(A), k2_xboole_0(B, C)) => k1_funct_4(k5_relat_1(A, B), k5_relat_1(A, C))=A) ) ) ) ) ).
fof(t71_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] : k5_relat_1(k1_funct_4(A, B), C)=k1_funct_4(k5_relat_1(A, C), k5_relat_1(B, C))) ) ) ) ) ).
fof(t72_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (r1_xboole_0(C, k9_xtuple_0(B)) => k5_relat_1(k1_funct_4(A, B), C)=k5_relat_1(A, C)) ) ) ) ) ) ).
fof(t73_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (r1_xboole_0(k9_xtuple_0(A), C) => k5_relat_1(k1_funct_4(A, B), C)=k5_relat_1(B, C)) ) ) ) ) ) ).
fof(t74_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (k9_xtuple_0(B)=k9_xtuple_0(C) => k1_funct_4(k1_funct_4(A, B), C)=k1_funct_4(A, C)) ) ) ) ) ) ) ).
fof(t75_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] : k1_funct_4(A, k5_relat_1(A, B))=A) ) ) ).
fof(t76_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (! [D] :  ( (r1_tarski(k9_xtuple_0(A), C) &  (r1_tarski(k9_xtuple_0(B), D) & r1_xboole_0(C, D)) )  =>  (k5_relat_1(k1_funct_4(A, B), C)=A & k5_relat_1(k1_funct_4(A, B), D)=B) ) ) ) ) ) ) ) ).
fof(t77_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (r1_tarski(k9_xtuple_0(A), C) & r1_xboole_0(k9_xtuple_0(B), C))  => k5_relat_1(k1_funct_4(A, B), C)=A) ) ) ) ) ) ).
fof(t78_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] : k5_relat_1(A, k2_xboole_0(B, C))=k1_funct_4(k5_relat_1(A, B), k5_relat_1(A, C))) ) ) ) ).
fof(t79_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] : k18_funcop_1(A, B, C)=k17_funcop_1(k4_tarski(A, B), C)) ) ) ).
fof(t80_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] : k1_binop_1(k18_funcop_1(A, B, C), A, B)=C) ) ) ).
fof(t81_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] : k6_funct_4(A, A, B, C)=k17_funcop_1(A, C)) ) ) ).
fof(t82_funct_4, axiom,  (! [A] :  (! [B] : k17_funcop_1(A, B)=k1_tarski(k4_tarski(A, B))) ) ).
fof(t83_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (! [D] :  ( ~ (B=D)  => k1_funct_1(k1_funct_4(A, k17_funcop_1(B, C)), D)=k1_funct_1(A, D)) ) ) ) ) ) ).
fof(t84_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( ~ (B=C)  =>  (k1_funct_1(k1_funct_4(A, k6_funct_4(B, C, D, E)), B)=D & k1_funct_1(k1_funct_4(A, k6_funct_4(B, C, D, E)), C)=E) ) ) ) ) ) ) ) ).
fof(t85_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r2_tarski(A, k9_xtuple_0(C)) & k1_funct_1(C, A)=B)  => r1_tarski(k17_funcop_1(A, B), C)) ) ) ) ) ).
fof(t86_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  ( (r2_tarski(A, k9_xtuple_0(E)) &  (r2_tarski(C, k9_xtuple_0(E)) &  (k1_funct_1(E, A)=B & k1_funct_1(E, C)=D) ) )  => r1_tarski(k6_funct_4(A, C, B, D), E)) ) ) ) ) ) ) ).
fof(t87_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r1_tarski(A, C) & r1_tarski(B, C))  => r1_tarski(k1_funct_4(A, B), C)) ) ) ) ) ) ) ).
fof(t88_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (r1_tarski(k3_xboole_0(C, k9_xtuple_0(A)), k3_xboole_0(C, k9_xtuple_0(B))) => k5_relat_1(k1_funct_4(A, k5_relat_1(B, C)), C)=k5_relat_1(B, C)) ) ) ) ) ) ).
fof(t89_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (! [D] :  (! [E] : k1_funct_1(k1_funct_4(k1_funct_4(A, k17_funcop_1(B, C)), k17_funcop_1(E, D)), E)=D) ) ) ) ) ) ).
fof(t90_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] : k1_funct_1(k1_funct_4(k1_funct_4(A, k17_funcop_1(B, C)), k17_funcop_1(C, B)), B)=C) ) ) ) ).
fof(t91_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ~ ( ( ~ (F=E)  &  ( ~ (F=B)  &  ~ (k1_funct_1(k1_funct_4(k1_funct_4(A, k17_funcop_1(B, C)), k17_funcop_1(E, D)), F)=k1_funct_1(A, F)) ) ) ) ) ) ) ) ) ) ) ).
fof(t92_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (v2_funct_1(A) &  (v2_funct_1(B) & r1_xboole_0(k10_xtuple_0(A), k10_xtuple_0(B))) )  => v2_funct_1(k1_funct_4(A, B))) ) ) ) ) ).
fof(t93_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => k1_funct_4(k1_funct_4(A, B), B)=k1_funct_4(A, B)) ) ) ) ).
fof(t94_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  (k5_relat_1(k1_funct_4(A, B), D)=k5_relat_1(C, D) => k5_relat_1(k1_funct_4(C, B), D)=k5_relat_1(k1_funct_4(A, B), D)) ) ) ) ) ) ) ) ).
fof(t95_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  (k5_relat_1(A, D)=k5_relat_1(C, D) => k5_relat_1(k1_funct_4(C, B), D)=k5_relat_1(k1_funct_4(A, B), D)) ) ) ) ) ) ) ) ).
fof(t96_funct_4, axiom,  (! [A] : k17_funcop_1(A, A)=k6_partfun1(k1_tarski(A))) ).
fof(t97_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_tarski(A, B) => k1_funct_4(A, B)=B) ) ) ) ) ).
fof(t98_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_tarski(A, B) => k1_funct_4(B, A)=B) ) ) ) ) ).
fof(d5_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] : k8_funct_4(A, B, C)=k1_funct_4(A, k3_relat_1(A, k17_funcop_1(B, C)))) ) ) ) ).
fof(t99_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] : k9_xtuple_0(k8_funct_4(A, B, C))=k9_xtuple_0(A)) ) ) ) ).
fof(t100_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  ~ ( ( ~ (B=C)  & r2_hidden(B, k10_xtuple_0(k8_funct_4(A, B, C)))) ) ) ) ) ) ).
fof(t101_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (r2_hidden(B, k10_xtuple_0(A)) => r2_hidden(C, k10_xtuple_0(k8_funct_4(A, B, C)))) ) ) ) ) ).
fof(t102_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] : k8_funct_4(A, B, B)=A) ) ) ).
fof(t103_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  ( ~ (r2_hidden(B, k10_xtuple_0(A)))  => k8_funct_4(A, B, C)=A) ) ) ) ) ).
fof(t104_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] : r1_tarski(k10_xtuple_0(k8_funct_4(A, B, C)), k2_xboole_0(k6_subset_1(k10_xtuple_0(A), k1_tarski(B)), k1_tarski(C)))) ) ) ) ).
fof(t105_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (! [D] :  ( ~ (k1_funct_1(A, D)=B)  => k1_funct_1(k8_funct_4(A, B, C), D)=k1_funct_1(A, D)) ) ) ) ) ) ).
fof(t106_funct_4, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (! [D] :  ( (r2_hidden(A, k9_xtuple_0(B)) & k1_funct_1(B, A)=C)  => k1_funct_1(k8_funct_4(B, C, D), A)=D) ) ) ) ) ) ).
fof(t107_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  ( ~ (r2_hidden(B, k9_xtuple_0(A)))  => r1_tarski(A, k1_funct_4(A, k17_funcop_1(B, C)))) ) ) ) ) ).
fof(t108_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [D] :  (! [E] :  ( (r2_hidden(D, A) & r2_hidden(E, B))  =>  (v1_funct_1(k1_funct_4(C, k17_funcop_1(D, E))) & m1_subset_1(k1_funct_4(C, k17_funcop_1(D, E)), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ) ) ) ).
fof(t109_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] : k9_xtuple_0(k1_funct_4(k7_funcop_1(C, B), k17_funcop_1(C, A)))=k1_ordinal1(C)) ) ) ).
fof(t110_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] : k9_xtuple_0(k1_funct_4(k1_funct_4(k7_funcop_1(C, B), k17_funcop_1(C, A)), k17_funcop_1(k1_ordinal1(C), A)))=k1_ordinal1(k1_ordinal1(C))) ) ) ).
fof(t111_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] : k1_funct_4(k5_relat_1(A, B), A)=A) ) ) ).
fof(t112_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  ( (k9_xtuple_0(C)=k1_tarski(B) & k10_xtuple_0(C)=k1_tarski(A))  => C=k17_funcop_1(B, A)) ) ) ) ) ).
fof(t113_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] : k1_funct_1(k1_funct_4(A, k17_funcop_1(C, B)), C)=B) ) ) ) ).
fof(t114_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] : k1_funct_4(k1_funct_4(C, k17_funcop_1(D, A)), k17_funcop_1(D, B))=k1_funct_4(C, k17_funcop_1(D, B))) ) ) ) ) ).
fof(t115_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_xboole_0(k9_xtuple_0(B), k9_xtuple_0(C)) => k1_funct_4(k1_funct_4(k1_funct_4(A, B), C), B)=k1_funct_4(k1_funct_4(A, B), C)) ) ) ) ) ) ) ).
fof(t116_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r1_xboole_0(k9_xtuple_0(A), k9_xtuple_0(C)) & r1_tarski(A, k1_funct_4(B, C)))  => r1_tarski(A, B)) ) ) ) ) ) ) ).
fof(t117_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r1_xboole_0(k9_xtuple_0(A), k9_xtuple_0(C)) & r1_tarski(A, B))  => r1_tarski(A, k1_funct_4(B, C))) ) ) ) ) ) ) ).
fof(t118_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_xboole_0(k9_xtuple_0(B), k9_xtuple_0(C)) => k1_funct_4(k1_funct_4(A, B), C)=k1_funct_4(k1_funct_4(A, C), B)) ) ) ) ) ) ) ).
fof(t119_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)) => k6_subset_1(k1_funct_4(A, B), B)=A) ) ) ) ) ).
fof(t120_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)) => k6_subset_1(A, B)=A) ) ) ) ) ).
fof(t121_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_xboole_0(k9_xtuple_0(B), k9_xtuple_0(C)) => k1_funct_4(k6_subset_1(A, B), C)=k6_subset_1(k1_funct_4(A, C), B)) ) ) ) ) ) ) ).
fof(t122_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (r1_tarski(A, C) &  (r1_tarski(B, D) & r1_xboole_0(k9_xtuple_0(A), k9_xtuple_0(D))) )  => r1_tarski(k1_funct_4(A, B), k1_funct_4(C, D))) ) ) ) ) ) ) ) ) ).
fof(t123_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_tarski(A, B) => r1_tarski(k1_funct_4(A, C), k1_funct_4(B, C))) ) ) ) ) ) ) ).
fof(t124_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r1_tarski(A, B) & r1_xboole_0(k9_xtuple_0(A), k9_xtuple_0(C)))  => r1_tarski(A, k1_funct_4(B, C))) ) ) ) ) ) ) ).
fof(t125_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r1_partfun1(A, B) &  (r1_partfun1(B, C) & r1_partfun1(C, A)) )  => r1_partfun1(k1_funct_4(A, B), C)) ) ) ) ) ) ) ).
fof(t126_funct_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(A)))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(B)))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, C), C))))  =>  (G=k1_realset1(E, C) =>  (! [H] :  ( (v1_funct_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(D, D), D))))  =>  (H=k1_realset1(F, D) => k10_funct_4(C, D, G, H)=k1_realset1(k10_funct_4(A, B, E, F), k2_zfmisc_1(C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t127_funct_4, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (! [D] :  ( ~ (C=D)  => k8_funct_4(k8_funct_4(B, C, D), C, A)=k8_funct_4(B, C, D)) ) ) ) ) ) ).
fof(d6_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] : k11_funct_4(A, B, C, D, E, F)=k1_funct_4(k6_funct_4(A, B, D, E), k17_funcop_1(C, F))) ) ) ) ) ) ).
fof(t128_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] : k9_xtuple_0(k11_funct_4(A, B, C, D, E, F))=k1_enumset1(A, B, C)) ) ) ) ) ) ).
fof(t129_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] : r1_tarski(k10_xtuple_0(k11_funct_4(A, B, C, D, E, F)), k1_enumset1(D, E, F))) ) ) ) ) ) ).
fof(t130_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k11_funct_4(A, A, A, B, C, D)=k17_funcop_1(A, D)) ) ) ) ).
fof(t131_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k11_funct_4(A, A, B, C, D, E)=k6_funct_4(A, B, D, E)) ) ) ) ) ).
fof(t132_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( ~ (A=B)  => k11_funct_4(A, B, A, C, D, E)=k6_funct_4(A, B, E, D)) ) ) ) ) ) ).
fof(t133_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k11_funct_4(A, B, B, C, D, E)=k6_funct_4(A, B, C, E)) ) ) ) ) ).
fof(t134_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ~ ( ( ~ (A=B)  &  ( ~ (A=C)  &  ~ (k1_funct_1(k11_funct_4(A, B, C, D, E, F), A)=D) ) ) ) ) ) ) ) ) ) ).
fof(t135_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( ( ~ (B=C)  => k1_funct_1(k11_funct_4(A, B, C, D, E, F), B)=E)  & k1_funct_1(k11_funct_4(A, B, C, D, E, F), C)=F) ) ) ) ) ) ) ).
fof(t136_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  ( (v1_relat_1(G) & v1_funct_1(G))  =>  ( (k9_xtuple_0(G)=k1_enumset1(A, B, C) &  (k1_funct_1(G, A)=D &  (k1_funct_1(G, B)=E & k1_funct_1(G, C)=F) ) )  => G=k11_funct_4(A, B, C, D, E, F)) ) ) ) ) ) ) ) ) ).
fof(d7_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] : k12_funct_4(A, B, C, D, E, F, G, H)=k1_funct_4(k6_funct_4(A, B, E, F), k6_funct_4(C, D, G, H))) ) ) ) ) ) ) ) ).
fof(t137_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] : k9_xtuple_0(k12_funct_4(D, E, G, F, A, B, C, H))=k2_enumset1(D, E, G, F)) ) ) ) ) ) ) ) ).
fof(t138_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] : r1_tarski(k10_xtuple_0(k12_funct_4(D, E, G, F, A, B, C, H)), k2_enumset1(A, B, C, H))) ) ) ) ) ) ) ) ).
fof(t139_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] : k1_funct_1(k12_funct_4(D, E, G, F, A, B, C, H), F)=H) ) ) ) ) ) ) ) ).
fof(t140_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  ( ~ (G=F)  => k1_funct_1(k12_funct_4(D, E, G, F, A, B, C, H), G)=C) ) ) ) ) ) ) ) ) ).
fof(t141_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  ~ ( ( ~ (E=G)  &  ( ~ (E=F)  &  ~ (k1_funct_1(k12_funct_4(D, E, G, F, A, B, C, H), E)=B) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t142_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  ~ ( ( ~ (D=E)  &  ( ~ (D=G)  &  ( ~ (D=F)  &  ~ (k1_funct_1(k12_funct_4(D, E, G, F, A, B, C, H), D)=A) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t143_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (r2_zfmisc_1(D, E, G, F) => k10_xtuple_0(k12_funct_4(D, E, G, F, A, B, C, H))=k2_enumset1(A, B, C, H)) ) ) ) ) ) ) ) ) ).
fof(t144_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  ( (v1_relat_1(I) & v1_funct_1(I))  =>  ( (k9_xtuple_0(I)=k2_enumset1(A, B, C, D) &  (k1_funct_1(I, A)=E &  (k1_funct_1(I, B)=F &  (k1_funct_1(I, C)=G & k1_funct_1(I, D)=H) ) ) )  => I=k12_funct_4(A, B, C, D, E, F, G, H)) ) ) ) ) ) ) ) ) ) ) ).
fof(t145_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (r2_zfmisc_1(A, B, E, H) => k12_funct_4(A, B, E, H, C, D, F, G)=k2_enumset1(k4_tarski(A, C), k4_tarski(B, D), k4_tarski(E, F), k4_tarski(H, G))) ) ) ) ) ) ) ) ) ).
fof(t146_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  (! [J] :  (! [K] :  (! [L] :  ( (r2_zfmisc_1(A, B, C, D) & k12_funct_4(A, B, C, D, E, F, G, H)=k12_funct_4(A, B, C, D, I, J, K, L))  =>  (E=I &  (F=J &  (G=K & H=L) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t147_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (r1_zfmisc_1(A, B, C) => k10_xtuple_0(k11_funct_4(A, B, C, D, E, F))=k1_enumset1(D, E, F)) ) ) ) ) ) ) ).
fof(d8_funct_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, A), C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, A), C)))) )  =>  (E=k13_funct_4(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, B) =>  (! [G] :  (m1_subset_1(G, A) => k2_binop_1(B, A, C, E, F, G)=k2_binop_1(A, B, C, D, G, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k1_funct_4(A, B)) & v1_funct_1(k1_funct_4(A, B))) ) ) ).
fof(idempotence_k1_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  => k1_funct_4(A, A)=A) ) ).
fof(dt_k2_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k2_funct_4(A)) & v1_funct_1(k2_funct_4(A))) ) ) ).
fof(dt_k3_funct_4, axiom,  (! [A, B, C, D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C))))  =>  (v1_funct_1(k3_funct_4(A, B, C, D)) & m1_subset_1(k3_funct_4(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, A), C)))) ) ) ).
fof(redefinition_k3_funct_4, axiom,  (! [A, B, C, D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C))))  => k3_funct_4(A, B, C, D)=k2_funct_4(D)) ) ).
fof(dt_k4_funct_4, axiom,  (! [A, B, C, D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (v1_funct_1(k4_funct_4(A, B, C, D)) &  (v1_funct_2(k4_funct_4(A, B, C, D), k2_zfmisc_1(B, A), C) & m1_subset_1(k4_funct_4(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, A), C)))) ) ) ) ).
fof(redefinition_k4_funct_4, axiom,  (! [A, B, C, D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  => k4_funct_4(A, B, C, D)=k2_funct_4(D)) ) ).
fof(dt_k5_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k5_funct_4(A, B)) & v1_funct_1(k5_funct_4(A, B))) ) ) ).
fof(dt_k7_funct_4, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(D, A) & m1_subset_1(E, A)) )  =>  (v1_funct_1(k7_funct_4(A, B, C, D, E)) &  (v1_funct_2(k7_funct_4(A, B, C, D, E), k2_tarski(B, C), A) & m1_subset_1(k7_funct_4(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k2_tarski(B, C), A)))) ) ) ) ).
fof(redefinition_k7_funct_4, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(D, A) & m1_subset_1(E, A)) )  => k7_funct_4(A, B, C, D, E)=k6_funct_4(B, C, D, E)) ) ).
fof(dt_k9_funct_4, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v1_funct_1(k9_funct_4(A, B, C, D)) & m1_subset_1(k9_funct_4(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ).
fof(idempotence_k9_funct_4, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  => k9_funct_4(A, B, C, C)=C) ) ).
fof(redefinition_k9_funct_4, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  => k9_funct_4(A, B, C, D)=k1_funct_4(C, D)) ) ).
fof(dt_k10_funct_4, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A))))  &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) ) ) )  =>  (v1_funct_1(k10_funct_4(A, B, C, D)) & m1_subset_1(k10_funct_4(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k2_zfmisc_1(A, B)), k2_zfmisc_1(A, B))))) ) ) ).
fof(redefinition_k10_funct_4, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A))))  &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) ) ) )  => k10_funct_4(A, B, C, D)=k5_funct_4(C, D)) ) ).
fof(dt_k13_funct_4, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) ) ) ) )  =>  (v1_funct_1(k13_funct_4(A, B, C, D)) &  (v1_funct_2(k13_funct_4(A, B, C, D), k2_zfmisc_1(B, A), C) & m1_subset_1(k13_funct_4(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, A), C)))) ) ) ) ).
fof(redefinition_k13_funct_4, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) ) ) ) )  => k13_funct_4(A, B, C, D)=k2_funct_4(D)) ) ).
fof(fc1_funct_5, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k1_funct_5(A)) &  (v1_funct_1(k1_funct_5(A)) & v1_funcop_1(k1_funct_5(A))) ) ) ) ).
fof(fc2_funct_5, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k3_funct_5(A)) &  (v1_funct_1(k3_funct_5(A)) & v1_funcop_1(k3_funct_5(A))) ) ) ) ).
fof(t1_funct_5, axiom, k2_funct_4(k1_xboole_0)=k1_xboole_0).
fof(t8_funct_5, axiom,  (k9_xtuple_0(k1_xboole_0)=k1_xboole_0 & k10_xtuple_0(k1_xboole_0)=k1_xboole_0) ).
fof(t9_funct_5, axiom,  (! [A] :  (! [B] :  ( ~ ( (B=k1_xboole_0 &  (k2_zfmisc_1(A, B)=k1_xboole_0 & k2_zfmisc_1(B, A)=k1_xboole_0) ) )  =>  (k9_xtuple_0(k2_zfmisc_1(A, B))=A & k10_xtuple_0(k2_zfmisc_1(B, A))=A) ) ) ) ).
fof(t10_funct_5, axiom,  (! [A] :  (! [B] :  (r1_tarski(k9_xtuple_0(k2_zfmisc_1(A, B)), A) & r1_tarski(k10_xtuple_0(k2_zfmisc_1(A, B)), B)) ) ) ).
fof(t11_funct_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (r1_tarski(C, k2_zfmisc_1(A, B)) =>  (r1_tarski(k9_xtuple_0(C), A) & r1_tarski(k10_xtuple_0(C), B)) ) ) ) ) ).
fof(t12_funct_5, axiom,  (! [A] :  (! [B] :  (k9_xtuple_0(k1_tarski(k4_tarski(A, B)))=k1_tarski(A) & k10_xtuple_0(k1_tarski(k4_tarski(A, B)))=k1_tarski(B)) ) ) ).
fof(t13_funct_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (k9_xtuple_0(k2_tarski(k4_tarski(A, B), k4_tarski(C, D)))=k2_tarski(A, C) & k10_xtuple_0(k2_tarski(k4_tarski(A, B), k4_tarski(C, D)))=k2_tarski(B, D)) ) ) ) ) ).
fof(t14_funct_5, axiom,  (! [A] :  ( (! [B] :  (! [C] :  ~ (r2_hidden(k4_tarski(B, C), A)) ) )  =>  (k9_xtuple_0(A)=k1_xboole_0 & k10_xtuple_0(A)=k1_xboole_0) ) ) ).
fof(t15_funct_5, axiom,  (! [A] :  ( (k9_xtuple_0(A)=k1_xboole_0 | k10_xtuple_0(A)=k1_xboole_0)  =>  (! [B] :  (! [C] :  ~ (r2_hidden(k4_tarski(B, C), A)) ) ) ) ) ).
fof(t16_funct_5, axiom,  (! [A] :  (k9_xtuple_0(A)=k1_xboole_0 <=> k10_xtuple_0(A)=k1_xboole_0) ) ).
fof(t17_funct_5, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (k9_xtuple_0(k9_xtuple_0(A))=k10_xtuple_0(k9_xtuple_0(k2_funct_4(A))) & k10_xtuple_0(k9_xtuple_0(A))=k9_xtuple_0(k9_xtuple_0(k2_funct_4(A)))) ) ) ).
fof(d1_funct_5, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (B=k1_funct_5(A) <=>  (k9_xtuple_0(B)=k9_xtuple_0(k9_xtuple_0(A)) &  (! [C] :  ~ ( (r2_hidden(C, k9_xtuple_0(k9_xtuple_0(A))) &  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ~ ( (k1_funct_1(B, C)=D &  (k9_xtuple_0(D)=k10_xtuple_0(k3_xboole_0(k9_xtuple_0(A), k2_zfmisc_1(k1_tarski(C), k10_xtuple_0(k9_xtuple_0(A))))) &  (! [E] :  (r2_hidden(E, k9_xtuple_0(D)) => k1_funct_1(D, E)=k1_binop_1(A, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_funct_5, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (B=k2_funct_5(A) <=>  ( (! [C] :  (r2_hidden(C, k9_xtuple_0(B)) <=>  (? [D] :  (? [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  &  (? [F] :  (C=k4_tarski(D, F) &  (r2_hidden(D, k9_xtuple_0(A)) &  (E=k1_funct_1(A, D) & r2_hidden(F, k9_xtuple_0(E))) ) ) ) ) ) ) ) )  &  (! [C] :  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (r2_hidden(C, k9_xtuple_0(B)) & D=k1_funct_1(A, k1_xtuple_0(C)))  => k1_funct_1(B, C)=k1_funct_1(D, k2_xtuple_0(C))) ) ) ) ) ) ) ) ) ) ).
fof(d3_funct_5, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => k3_funct_5(A)=k1_funct_5(k2_funct_4(A))) ) ).
fof(d4_funct_5, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => k4_funct_5(A)=k2_funct_4(k2_funct_5(A))) ) ).
fof(t19_funct_5, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(B, C), k9_xtuple_0(A)) => r2_hidden(B, k9_xtuple_0(k1_funct_5(A)))) ) ) ) ) ).
fof(t20_funct_5, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (! [D] :  ( (r2_hidden(k4_tarski(C, D), k9_xtuple_0(A)) & B=k1_funct_1(k1_funct_5(A), C))  =>  (r2_hidden(D, k9_xtuple_0(B)) & k1_funct_1(B, D)=k1_binop_1(A, C, D)) ) ) ) ) ) ) ) ).
fof(t21_funct_5, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(B, C), k9_xtuple_0(A)) => r2_hidden(C, k9_xtuple_0(k3_funct_5(A)))) ) ) ) ) ).
fof(t22_funct_5, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (! [D] :  ( (r2_hidden(k4_tarski(C, D), k9_xtuple_0(A)) & B=k1_funct_1(k3_funct_5(A), D))  =>  (r2_hidden(C, k9_xtuple_0(B)) & k1_funct_1(B, C)=k1_binop_1(A, C, D)) ) ) ) ) ) ) ) ).
fof(t23_funct_5, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => k9_xtuple_0(k3_funct_5(A))=k10_xtuple_0(k9_xtuple_0(A))) ) ).
fof(t24_funct_5, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (k9_xtuple_0(C)=k2_zfmisc_1(A, B) =>  (k2_zfmisc_1(A, B)=k1_xboole_0 |  (k9_xtuple_0(k1_funct_5(C))=A & k9_xtuple_0(k3_funct_5(C))=B) ) ) ) ) ) ) ).
fof(t25_funct_5, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_tarski(k9_xtuple_0(C), k2_zfmisc_1(A, B)) =>  (r1_tarski(k9_xtuple_0(k1_funct_5(C)), A) & r1_tarski(k9_xtuple_0(k3_funct_5(C)), B)) ) ) ) ) ) ).
fof(t26_funct_5, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_tarski(k10_xtuple_0(C), k1_funct_2(A, B)) =>  (k9_xtuple_0(k2_funct_5(C))=k2_zfmisc_1(k9_xtuple_0(C), A) & k9_xtuple_0(k4_funct_5(C))=k2_zfmisc_1(A, k9_xtuple_0(C))) ) ) ) ) ) ).
fof(t27_funct_5, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  ( (! [B] :  (! [C] :  ~ (r2_hidden(k4_tarski(B, C), k9_xtuple_0(A))) ) )  =>  (k1_funct_5(A)=k1_xboole_0 & k3_funct_5(A)=k1_xboole_0) ) ) ) ).
fof(t28_funct_5, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  ( (! [B] :  ~ ( (r2_hidden(B, k9_xtuple_0(A)) &  (v1_relat_1(k1_funct_1(A, B)) & v1_funct_1(k1_funct_1(A, B))) ) ) )  =>  (k2_funct_5(A)=k1_xboole_0 & k4_funct_5(A)=k1_xboole_0) ) ) ) ).
fof(t29_funct_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ~ ( ( ~ (k2_zfmisc_1(A, B)=k1_xboole_0)  &  (k9_xtuple_0(D)=k2_zfmisc_1(A, B) &  (r2_hidden(C, A) &  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  ~ ( (k1_funct_1(k1_funct_5(D), C)=E &  (k9_xtuple_0(E)=B &  (r1_tarski(k10_xtuple_0(E), k10_xtuple_0(D)) &  (! [F] :  (r2_hidden(F, B) => k1_funct_1(E, F)=k1_binop_1(D, C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_funct_5, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_hidden(A, k9_xtuple_0(k1_funct_5(B))) =>  (v1_relat_1(k1_funct_1(k1_funct_5(B), A)) & v1_funct_1(k1_funct_1(k1_funct_5(B), A))) ) ) ) ) ).
fof(t31_funct_5, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r2_hidden(A, k9_xtuple_0(k1_funct_5(B))) & C=k1_funct_1(k1_funct_5(B), A))  =>  (k9_xtuple_0(C)=k10_xtuple_0(k3_xboole_0(k9_xtuple_0(B), k2_zfmisc_1(k1_tarski(A), k10_xtuple_0(k9_xtuple_0(B))))) &  (r1_tarski(k9_xtuple_0(C), k10_xtuple_0(k9_xtuple_0(B))) &  (r1_tarski(k10_xtuple_0(C), k10_xtuple_0(B)) &  (! [D] :  (r2_hidden(D, k9_xtuple_0(C)) =>  (k1_funct_1(C, D)=k1_binop_1(B, A, D) & r2_hidden(k4_tarski(A, D), k9_xtuple_0(B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_funct_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ~ ( ( ~ (k2_zfmisc_1(A, B)=k1_xboole_0)  &  (k9_xtuple_0(D)=k2_zfmisc_1(A, B) &  (r2_hidden(C, B) &  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  ~ ( (k1_funct_1(k3_funct_5(D), C)=E &  (k9_xtuple_0(E)=A &  (r1_tarski(k10_xtuple_0(E), k10_xtuple_0(D)) &  (! [F] :  (r2_hidden(F, A) => k1_funct_1(E, F)=k1_binop_1(D, F, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_funct_5, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_hidden(A, k9_xtuple_0(k3_funct_5(B))) =>  (v1_relat_1(k1_funct_1(k3_funct_5(B), A)) & v1_funct_1(k1_funct_1(k3_funct_5(B), A))) ) ) ) ) ).
fof(t34_funct_5, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r2_hidden(A, k9_xtuple_0(k3_funct_5(B))) & C=k1_funct_1(k3_funct_5(B), A))  =>  (k9_xtuple_0(C)=k9_xtuple_0(k3_xboole_0(k9_xtuple_0(B), k2_zfmisc_1(k9_xtuple_0(k9_xtuple_0(B)), k1_tarski(A)))) &  (r1_tarski(k9_xtuple_0(C), k9_xtuple_0(k9_xtuple_0(B))) &  (r1_tarski(k10_xtuple_0(C), k10_xtuple_0(B)) &  (! [D] :  (r2_hidden(D, k9_xtuple_0(C)) =>  (k1_funct_1(C, D)=k1_binop_1(B, D, A) & r2_hidden(k4_tarski(D, A), k9_xtuple_0(B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_funct_5, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (k9_xtuple_0(C)=k2_zfmisc_1(A, B) =>  (r1_tarski(k10_xtuple_0(k1_funct_5(C)), k1_funct_2(B, k10_xtuple_0(C))) & r1_tarski(k10_xtuple_0(k3_funct_5(C)), k1_funct_2(A, k10_xtuple_0(C)))) ) ) ) ) ) ).
fof(t36_funct_5, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (r1_tarski(k10_xtuple_0(k1_funct_5(A)), k4_partfun1(k10_xtuple_0(k9_xtuple_0(A)), k10_xtuple_0(A))) & r1_tarski(k10_xtuple_0(k3_funct_5(A)), k4_partfun1(k9_xtuple_0(k9_xtuple_0(A)), k10_xtuple_0(A)))) ) ) ).
fof(t37_funct_5, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_tarski(k10_xtuple_0(C), k4_partfun1(A, B)) =>  (r1_tarski(k9_xtuple_0(k2_funct_5(C)), k2_zfmisc_1(k9_xtuple_0(C), A)) & r1_tarski(k9_xtuple_0(k4_funct_5(C)), k2_zfmisc_1(A, k9_xtuple_0(C)))) ) ) ) ) ) ).
fof(t38_funct_5, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (r2_hidden(A, k9_xtuple_0(C)) &  (D=k1_funct_1(C, A) & r2_hidden(B, k9_xtuple_0(D))) )  =>  (r2_hidden(k4_tarski(A, B), k9_xtuple_0(k2_funct_5(C))) &  (k1_binop_1(k2_funct_5(C), A, B)=k1_funct_1(D, B) & r2_tarski(k1_funct_1(D, B), k10_xtuple_0(k2_funct_5(C)))) ) ) ) ) ) ) ) ) ).
fof(t39_funct_5, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (r2_hidden(A, k9_xtuple_0(C)) &  (D=k1_funct_1(C, A) & r2_hidden(B, k9_xtuple_0(D))) )  =>  (r2_hidden(k4_tarski(B, A), k9_xtuple_0(k4_funct_5(C))) &  (k1_binop_1(k4_funct_5(C), B, A)=k1_funct_1(D, B) & r2_tarski(k1_funct_1(D, B), k10_xtuple_0(k4_funct_5(C)))) ) ) ) ) ) ) ) ) ).
fof(t40_funct_5, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_tarski(k10_xtuple_0(C), k4_partfun1(A, B)) =>  (r1_tarski(k10_xtuple_0(k2_funct_5(C)), B) & r1_tarski(k10_xtuple_0(k4_funct_5(C)), B)) ) ) ) ) ) ).
fof(t41_funct_5, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_tarski(k10_xtuple_0(C), k1_funct_2(A, B)) =>  (r1_tarski(k10_xtuple_0(k2_funct_5(C)), B) & r1_tarski(k10_xtuple_0(k4_funct_5(C)), B)) ) ) ) ) ) ).
fof(t42_funct_5, axiom,  (k1_funct_5(k1_xboole_0)=k1_xboole_0 & k3_funct_5(k1_xboole_0)=k1_xboole_0) ).
fof(t43_funct_5, axiom,  (k2_funct_5(k1_xboole_0)=k1_xboole_0 & k4_funct_5(k1_xboole_0)=k1_xboole_0) ).
fof(t44_funct_5, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (k9_xtuple_0(C)=k2_zfmisc_1(A, B) &  (k9_xtuple_0(D)=k2_zfmisc_1(A, B) & k1_funct_5(C)=k1_funct_5(D)) )  => C=D) ) ) ) ) ) ) ).
fof(t45_funct_5, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (k9_xtuple_0(C)=k2_zfmisc_1(A, B) &  (k9_xtuple_0(D)=k2_zfmisc_1(A, B) & k3_funct_5(C)=k3_funct_5(D)) )  => C=D) ) ) ) ) ) ) ).
fof(t46_funct_5, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (r1_tarski(k10_xtuple_0(C), k1_funct_2(A, B)) &  (r1_tarski(k10_xtuple_0(D), k1_funct_2(A, B)) & k2_funct_5(C)=k2_funct_5(D)) )  =>  (A=k1_xboole_0 | C=D) ) ) ) ) ) ) ) ).
fof(t47_funct_5, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (r1_tarski(k10_xtuple_0(C), k1_funct_2(A, B)) &  (r1_tarski(k10_xtuple_0(D), k1_funct_2(A, B)) & k4_funct_5(C)=k4_funct_5(D)) )  =>  (A=k1_xboole_0 | C=D) ) ) ) ) ) ) ) ).
fof(t48_funct_5, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_tarski(k10_xtuple_0(C), k1_funct_2(A, B)) =>  (A=k1_xboole_0 |  (k1_funct_5(k2_funct_5(C))=C & k3_funct_5(k4_funct_5(C))=C) ) ) ) ) ) ) ).
fof(t49_funct_5, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (k9_xtuple_0(C)=k2_zfmisc_1(A, B) =>  (k2_funct_5(k1_funct_5(C))=C & k4_funct_5(k3_funct_5(C))=C) ) ) ) ) ) ).
fof(t50_funct_5, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_tarski(k9_xtuple_0(C), k2_zfmisc_1(A, B)) =>  (k2_funct_5(k1_funct_5(C))=C & k4_funct_5(k3_funct_5(C))=C) ) ) ) ) ) ).
fof(t51_funct_5, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_tarski(k10_xtuple_0(C), k4_partfun1(A, B)) =>  (r2_tarski(k1_xboole_0, k10_xtuple_0(C)) |  (k1_funct_5(k2_funct_5(C))=C & k3_funct_5(k4_funct_5(C))=C) ) ) ) ) ) ) ).
fof(t52_funct_5, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (r1_tarski(k9_xtuple_0(C), k2_zfmisc_1(A, B)) &  (r1_tarski(k9_xtuple_0(D), k2_zfmisc_1(A, B)) & k1_funct_5(C)=k1_funct_5(D)) )  => C=D) ) ) ) ) ) ) ).
fof(t53_funct_5, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (r1_tarski(k9_xtuple_0(C), k2_zfmisc_1(A, B)) &  (r1_tarski(k9_xtuple_0(D), k2_zfmisc_1(A, B)) & k3_funct_5(C)=k3_funct_5(D)) )  => C=D) ) ) ) ) ) ) ).
fof(t54_funct_5, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (r1_tarski(k10_xtuple_0(C), k4_partfun1(A, B)) &  (r1_tarski(k10_xtuple_0(D), k4_partfun1(A, B)) & k2_funct_5(C)=k2_funct_5(D)) )  =>  (r2_tarski(k1_xboole_0, k10_xtuple_0(C)) |  (r2_tarski(k1_xboole_0, k10_xtuple_0(D)) | C=D) ) ) ) ) ) ) ) ) ).
fof(t55_funct_5, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (r1_tarski(k10_xtuple_0(C), k4_partfun1(A, B)) &  (r1_tarski(k10_xtuple_0(D), k4_partfun1(A, B)) & k4_funct_5(C)=k4_funct_5(D)) )  =>  (r2_tarski(k1_xboole_0, k10_xtuple_0(C)) |  (r2_tarski(k1_xboole_0, k10_xtuple_0(D)) | C=D) ) ) ) ) ) ) ) ) ).
fof(t56_funct_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (r1_tarski(A, B) => r1_tarski(k1_funct_2(C, A), k1_funct_2(C, B))) ) ) ) ).
fof(t57_funct_5, axiom,  (! [A] : k1_funct_2(k1_xboole_0, A)=k1_tarski(k1_xboole_0)) ).
fof(t58_funct_5, axiom,  (! [A] :  (! [B] :  (r2_wellord2(A, k1_funct_2(k1_tarski(B), A)) & k1_card_1(A)=k1_card_1(k1_funct_2(k1_tarski(B), A))) ) ) ).
fof(t59_funct_5, axiom,  (! [A] :  (! [B] : k9_funct_2(A, k1_tarski(B))=k6_domain_1(k1_zfmisc_1(k2_zfmisc_1(A, k1_tarski(B))), k7_funcop_1(A, B))) ) ).
fof(t60_funct_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (r2_wellord2(A, C) & r2_wellord2(B, D))  =>  (r2_wellord2(k1_funct_2(A, B), k1_funct_2(C, D)) & k1_card_1(k1_funct_2(A, B))=k1_card_1(k1_funct_2(C, D))) ) ) ) ) ) ).
fof(t61_funct_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (k1_card_1(A)=k1_card_1(C) & k1_card_1(B)=k1_card_1(D))  => k1_card_1(k1_funct_2(A, B))=k1_card_1(k1_funct_2(C, D))) ) ) ) ) ).
fof(t62_funct_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (r1_xboole_0(B, C) =>  (r2_wellord2(k1_funct_2(k2_xboole_0(B, C), A), k2_zfmisc_1(k1_funct_2(B, A), k1_funct_2(C, A))) & k1_card_1(k1_funct_2(k2_xboole_0(B, C), A))=k1_card_1(k2_zfmisc_1(k1_funct_2(B, A), k1_funct_2(C, A)))) ) ) ) ) ).
fof(t63_funct_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_wellord2(k1_funct_2(k2_zfmisc_1(A, B), C), k1_funct_2(A, k1_funct_2(B, C))) & k1_card_1(k1_funct_2(k2_zfmisc_1(A, B), C))=k1_card_1(k1_funct_2(A, k1_funct_2(B, C)))) ) ) ) ).
fof(t64_funct_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_wellord2(k1_funct_2(C, k2_zfmisc_1(A, B)), k2_zfmisc_1(k1_funct_2(C, A), k1_funct_2(C, B))) & k1_card_1(k1_funct_2(C, k2_zfmisc_1(A, B)))=k1_card_1(k2_zfmisc_1(k1_funct_2(C, A), k1_funct_2(C, B)))) ) ) ) ).
fof(t65_funct_5, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (B=C)  =>  (r2_wellord2(k9_funct_2(A, k2_tarski(B, C)), k1_zfmisc_1(A)) & k1_card_1(k9_funct_2(A, k2_tarski(B, C)))=k1_card_1(k1_zfmisc_1(A))) ) ) ) ) ).
fof(t66_funct_5, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (B=C)  =>  (r2_wellord2(k1_funct_2(k2_tarski(B, C), A), k2_zfmisc_1(A, A)) & k1_card_1(k1_funct_2(k2_tarski(B, C), A))=k1_card_1(k2_zfmisc_1(A, A))) ) ) ) ) ).
fof(d5_funct_5, axiom, k6_funct_5=k17_funcop_1(k5_ordinal1, k5_ordinal1)).
fof(d6_funct_5, axiom, k7_funct_5=k18_funcop_1(k5_ordinal1, k5_ordinal1, k5_ordinal1)).
fof(t67_funct_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (v1_funct_1(k1_funct_5(D)) &  (v1_funct_2(k1_funct_5(D), A, k9_funct_2(B, C)) & m1_subset_1(k1_funct_5(D), k1_zfmisc_1(k2_zfmisc_1(A, k9_funct_2(B, C))))) ) ) ) ) ) ) ) ) ) ).
fof(t68_funct_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (v1_funct_1(k3_funct_5(D)) &  (v1_funct_2(k3_funct_5(D), B, k9_funct_2(A, C)) & m1_subset_1(k3_funct_5(D), k1_zfmisc_1(k2_zfmisc_1(B, k9_funct_2(A, C))))) ) ) ) ) ) ) ) ) ) ).
fof(t69_funct_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, B) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(A, B), C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  => k2_binop_1(A, B, C, F, D, E)=k3_funct_2(B, C, k10_funct_5(A, B, C, k9_funct_2(B, C), k11_funct_5(A, B, C, F), D), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_funct_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, B) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(A, B), C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  => k2_binop_1(A, B, C, F, D, E)=k3_funct_2(A, C, k10_funct_5(B, A, C, k9_funct_2(A, C), k12_funct_5(A, B, C, F), E), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_funct_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k9_funct_2(B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k9_funct_2(B, C))))) )  => r2_funct_2(A, k9_funct_2(B, C), k11_funct_5(A, B, C, k13_funct_5(A, B, C, D)), D)) ) ) ) ) ) ) ) ).
fof(t72_funct_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k9_funct_2(B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k9_funct_2(B, C))))) )  =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, B) => k2_binop_1(A, B, C, k13_funct_5(A, B, C, D), E, F)=k3_funct_2(B, C, k10_funct_5(A, B, C, k9_funct_2(B, C), D, E), F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_funct_5, axiom,  (? [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  &  (k9_xtuple_0(A)=f1_s1_funct_5 &  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_tarski(B, f1_s1_funct_5) => k1_funct_1(A, B)=f2_s1_funct_5(B)) ) ) ) ) ) ).
fof(dt_k1_funct_5, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k1_funct_5(A)) & v1_funct_1(k1_funct_5(A))) ) ) ).
fof(dt_k2_funct_5, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k2_funct_5(A)) & v1_funct_1(k2_funct_5(A))) ) ) ).
fof(dt_k3_funct_5, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k3_funct_5(A)) & v1_funct_1(k3_funct_5(A))) ) ) ).
fof(dt_k4_funct_5, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k4_funct_5(A)) & v1_funct_1(k4_funct_5(A))) ) ) ).
fof(dt_k5_funct_5, axiom, m1_subset_1(k5_funct_5, k1_tarski(k5_ordinal1))).
fof(redefinition_k5_funct_5, axiom, k5_funct_5=k5_ordinal1).
fof(dt_k8_funct_5, axiom,  (v1_funct_1(k8_funct_5) &  (v1_funct_2(k8_funct_5, k1_tarski(k5_ordinal1), k1_tarski(k5_ordinal1)) & m1_subset_1(k8_funct_5, k1_zfmisc_1(k2_zfmisc_1(k1_tarski(k5_ordinal1), k1_tarski(k5_ordinal1))))) ) ).
fof(redefinition_k8_funct_5, axiom, k8_funct_5=k6_funct_5).
fof(dt_k9_funct_5, axiom,  (v1_funct_1(k9_funct_5) &  (v1_funct_2(k9_funct_5, k2_zfmisc_1(k1_tarski(k5_ordinal1), k1_tarski(k5_ordinal1)), k1_tarski(k5_ordinal1)) & m1_subset_1(k9_funct_5, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_tarski(k5_ordinal1), k1_tarski(k5_ordinal1)), k1_tarski(k5_ordinal1))))) ) ).
fof(redefinition_k9_funct_5, axiom, k9_funct_5=k7_funct_5).
fof(dt_k10_funct_5, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(C))  &  (m1_funct_2(D, B, C) &  ( (v1_funct_1(E) &  (v1_funct_2(E, A, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, D)))) )  & m1_subset_1(F, A)) ) ) )  => m2_funct_2(k10_funct_5(A, B, C, D, E, F), B, C, D)) ) ).
fof(redefinition_k10_funct_5, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(C))  &  (m1_funct_2(D, B, C) &  ( (v1_funct_1(E) &  (v1_funct_2(E, A, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, D)))) )  & m1_subset_1(F, A)) ) ) )  => k10_funct_5(A, B, C, D, E, F)=k1_funct_1(E, F)) ) ).
fof(dt_k11_funct_5, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) ) ) ) )  =>  (v1_funct_1(k11_funct_5(A, B, C, D)) &  (v1_funct_2(k11_funct_5(A, B, C, D), A, k9_funct_2(B, C)) & m1_subset_1(k11_funct_5(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, k9_funct_2(B, C))))) ) ) ) ).
fof(redefinition_k11_funct_5, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) ) ) ) )  => k11_funct_5(A, B, C, D)=k1_funct_5(D)) ) ).
fof(dt_k12_funct_5, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) ) ) ) )  =>  (v1_funct_1(k12_funct_5(A, B, C, D)) &  (v1_funct_2(k12_funct_5(A, B, C, D), B, k9_funct_2(A, C)) & m1_subset_1(k12_funct_5(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(B, k9_funct_2(A, C))))) ) ) ) ).
fof(redefinition_k12_funct_5, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) ) ) ) )  => k12_funct_5(A, B, C, D)=k3_funct_5(D)) ) ).
fof(dt_k13_funct_5, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(D) &  (v1_funct_2(D, A, k9_funct_2(B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k9_funct_2(B, C))))) ) ) ) )  =>  (v1_funct_1(k13_funct_5(A, B, C, D)) &  (v1_funct_2(k13_funct_5(A, B, C, D), k2_zfmisc_1(A, B), C) & m1_subset_1(k13_funct_5(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) ) ) ) ).
fof(redefinition_k13_funct_5, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(D) &  (v1_funct_2(D, A, k9_funct_2(B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k9_funct_2(B, C))))) ) ) ) )  => k13_funct_5(A, B, C, D)=k2_funct_5(D)) ) ).
fof(fc1_funct_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (v1_relat_1(k5_funct_6(A)) &  (v1_funct_1(k5_funct_6(A)) & v1_funcop_1(k5_funct_6(A))) ) ) ) ).
fof(t1_funct_6, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => r1_tarski(k4_card_3(A), k1_funct_2(k9_xtuple_0(A), k3_card_3(A)))) ) ).
fof(t2_funct_6, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ~ ( (r2_hidden(A, k9_xtuple_0(k2_funct_4(B))) &  (! [C] :  (! [D] :  ~ (A=k4_tarski(C, D)) ) ) ) ) ) ) ) ).
fof(t3_funct_6, axiom,  (! [A] :  (! [B] :  (! [C] : r8_binop_1(C, B, k1_tarski(A), k4_funct_4(B, C, k1_tarski(A), k7_funcop_1(k2_zfmisc_1(B, C), A)), k7_funcop_1(k2_zfmisc_1(C, B), A))) ) ) ).
fof(t4_funct_6, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (k1_funct_5(A)=k3_funct_5(k2_funct_4(A)) & k2_funct_5(A)=k2_funct_4(k4_funct_5(A))) ) ) ).
fof(t5_funct_6, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (k2_zfmisc_1(B, C)=k1_xboole_0)  =>  (k1_funct_5(k7_funcop_1(k2_zfmisc_1(B, C), A))=k7_funcop_1(B, k7_funcop_1(C, A)) & k3_funct_5(k7_funcop_1(k2_zfmisc_1(B, C), A))=k7_funcop_1(C, k7_funcop_1(B, A))) ) ) ) ) ).
fof(t6_funct_6, axiom,  (! [A] :  (! [B] :  (! [C] :  (k2_funct_5(k7_funcop_1(B, k7_funcop_1(C, A)))=k7_funcop_1(k2_zfmisc_1(B, C), A) & k4_funct_5(k7_funcop_1(B, k7_funcop_1(C, A)))=k7_funcop_1(k2_zfmisc_1(C, B), A)) ) ) ) ).
fof(t7_funct_6, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r2_hidden(A, k9_xtuple_0(B)) & C=k1_funct_1(B, A))  =>  (r1_tarski(k10_xtuple_0(C), k10_xtuple_0(k2_funct_5(B))) & r1_tarski(k10_xtuple_0(C), k10_xtuple_0(k4_funct_5(B)))) ) ) ) ) ) ) ).
fof(t8_funct_6, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (k9_xtuple_0(k2_funct_5(k7_funcop_1(A, B)))=k2_zfmisc_1(A, k9_xtuple_0(B)) &  (r1_tarski(k10_xtuple_0(k2_funct_5(k7_funcop_1(A, B))), k10_xtuple_0(B)) &  (k9_xtuple_0(k4_funct_5(k7_funcop_1(A, B)))=k2_zfmisc_1(k9_xtuple_0(B), A) & r1_tarski(k10_xtuple_0(k4_funct_5(k7_funcop_1(A, B))), k10_xtuple_0(B))) ) ) ) ) ) ).
fof(t9_funct_6, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( ~ (A=k1_xboole_0)  =>  (k10_xtuple_0(k2_funct_5(k7_funcop_1(A, B)))=k10_xtuple_0(B) & k10_xtuple_0(k4_funct_5(k7_funcop_1(A, B)))=k10_xtuple_0(B)) ) ) ) ) ).
fof(t10_funct_6, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r2_tarski(D, k1_funct_2(k2_zfmisc_1(A, B), C)) =>  (k2_zfmisc_1(A, B)=k1_xboole_0 |  (r2_tarski(k1_funct_5(D), k1_funct_2(A, k1_funct_2(B, C))) & r2_tarski(k3_funct_5(D), k1_funct_2(B, k1_funct_2(A, C)))) ) ) ) ) ) ) ) ).
fof(t11_funct_6, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r2_tarski(D, k1_funct_2(A, k1_funct_2(B, C))) =>  (r2_tarski(k2_funct_5(D), k1_funct_2(k2_zfmisc_1(A, B), C)) & r2_tarski(k4_funct_5(D), k1_funct_2(k2_zfmisc_1(B, A), C))) ) ) ) ) ) ) ).
fof(t12_funct_6, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  (r1_tarski(k9_xtuple_0(F), k2_zfmisc_1(D, E)) =>  ( ( ~ (r2_tarski(k1_funct_5(F), k1_funct_2(A, k1_funct_2(B, C))))  &  ~ (r2_tarski(k3_funct_5(F), k1_funct_2(B, k1_funct_2(A, C)))) )  | r2_tarski(F, k1_funct_2(k2_zfmisc_1(A, B), C))) ) ) ) ) ) ) ) ) ).
fof(t13_funct_6, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  ( (r1_tarski(k10_xtuple_0(F), k4_partfun1(D, E)) & k9_xtuple_0(F)=A)  =>  ( ( ~ (r2_tarski(k2_funct_5(F), k1_funct_2(k2_zfmisc_1(A, B), C)))  &  ~ (r2_tarski(k4_funct_5(F), k1_funct_2(k2_zfmisc_1(B, A), C))) )  | r2_tarski(F, k1_funct_2(A, k1_funct_2(B, C)))) ) ) ) ) ) ) ) ) ).
fof(t14_funct_6, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r2_tarski(D, k4_partfun1(k2_zfmisc_1(A, B), C)) =>  (r2_tarski(k1_funct_5(D), k4_partfun1(A, k4_partfun1(B, C))) & r2_tarski(k3_funct_5(D), k4_partfun1(B, k4_partfun1(A, C)))) ) ) ) ) ) ) ).
fof(t15_funct_6, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r2_tarski(D, k4_partfun1(A, k4_partfun1(B, C))) =>  (r2_tarski(k2_funct_5(D), k4_partfun1(k2_zfmisc_1(A, B), C)) & r2_tarski(k4_funct_5(D), k4_partfun1(k2_zfmisc_1(B, A), C))) ) ) ) ) ) ) ).
fof(t16_funct_6, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  (r1_tarski(k9_xtuple_0(F), k2_zfmisc_1(D, E)) =>  ( ( ~ (r2_tarski(k1_funct_5(F), k4_partfun1(A, k4_partfun1(B, C))))  &  ~ (r2_tarski(k3_funct_5(F), k4_partfun1(B, k4_partfun1(A, C)))) )  | r2_tarski(F, k4_partfun1(k2_zfmisc_1(A, B), C))) ) ) ) ) ) ) ) ) ).
fof(t17_funct_6, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  ( (r1_tarski(k10_xtuple_0(F), k4_partfun1(D, E)) & r1_tarski(k9_xtuple_0(F), A))  =>  ( ( ~ (r2_tarski(k2_funct_5(F), k4_partfun1(k2_zfmisc_1(A, B), C)))  &  ~ (r2_tarski(k4_funct_5(F), k4_partfun1(k2_zfmisc_1(B, A), C))) )  | r2_tarski(F, k4_partfun1(A, k4_partfun1(B, C)))) ) ) ) ) ) ) ) ) ).
fof(d2_funct_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (B=k1_funct_6(A) <=>  (k9_xtuple_0(B)=k9_xtuple_0(A) &  (! [C] :  (r2_hidden(C, k9_xtuple_0(A)) => k1_funct_1(B, C)=k9_xtuple_0(k1_funct_1(A, C))) ) ) ) ) ) ) ) ).
fof(d3_funct_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (B=k2_funct_6(A) <=>  (k9_xtuple_0(B)=k9_xtuple_0(A) &  (! [C] :  (r2_hidden(C, k9_xtuple_0(A)) => k1_funct_1(B, C)=k10_xtuple_0(k1_funct_1(A, C))) ) ) ) ) ) ) ) ).
fof(d4_funct_6, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => k3_funct_6(A)=k1_setfam_1(k10_xtuple_0(A))) ) ).
fof(t22_funct_6, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_funcop_1(C)) )  =>  ( (r2_hidden(A, k9_xtuple_0(C)) & B=k1_funct_1(C, A))  =>  (r2_hidden(A, k9_xtuple_0(k1_funct_6(C))) &  (k1_funct_1(k1_funct_6(C), A)=k9_xtuple_0(B) &  (r2_hidden(A, k9_xtuple_0(k2_funct_6(C))) & k1_funct_1(k2_funct_6(C), A)=k10_xtuple_0(B)) ) ) ) ) ) ) ) ) ).
fof(t23_funct_6, axiom,  (k1_funct_6(k1_xboole_0)=k1_xboole_0 & k2_funct_6(k1_xboole_0)=k1_xboole_0) ).
fof(t24_funct_6, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (k1_funct_6(k7_funcop_1(A, B))=k7_funcop_1(A, k9_xtuple_0(B)) & k2_funct_6(k7_funcop_1(A, B))=k7_funcop_1(A, k10_xtuple_0(B))) ) ) ) ).
fof(t25_funct_6, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  ( ~ (A=k1_xboole_0)  =>  (! [B] :  (r2_hidden(B, k3_funct_6(A)) <=>  (! [C] :  (r2_hidden(C, k9_xtuple_0(A)) => r2_hidden(B, k1_funct_1(A, C))) ) ) ) ) ) ) ).
fof(t26_funct_6, axiom,  (! [A] :  (k3_card_3(k7_funcop_1(k1_xboole_0, A))=k1_xboole_0 & k3_funct_6(k7_funcop_1(k1_xboole_0, A))=k1_xboole_0) ) ).
fof(t27_funct_6, axiom,  (! [A] :  (! [B] :  ( ~ (A=k1_xboole_0)  =>  (k3_card_3(k7_funcop_1(A, B))=B & k3_funct_6(k7_funcop_1(A, B))=B) ) ) ) ).
fof(d5_funct_6, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] : k4_funct_6(A, B, C)=k1_binop_1(k2_funct_5(A), B, C)) ) ) ) ).
fof(t28_funct_6, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (r2_hidden(A, C) & r2_hidden(B, k9_xtuple_0(D)))  => k4_funct_6(k7_funcop_1(C, D), A, B)=k1_funct_1(D, B)) ) ) ) ) ) ).
fof(d6_funct_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  => k5_funct_6(A)=k1_funct_5(k5_relat_1(k4_funct_5(A), k2_zfmisc_1(k3_funct_6(k1_funct_6(A)), k9_xtuple_0(A))))) ) ).
fof(t29_funct_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (k9_xtuple_0(k5_funct_6(A))=k3_funct_6(k1_funct_6(A)) & r1_tarski(k10_xtuple_0(k5_funct_6(A)), k4_card_3(k2_funct_6(A)))) ) ) ).
fof(t31_funct_6, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_funcop_1(C)) )  =>  ( (r2_hidden(A, k9_xtuple_0(k5_funct_6(C))) & B=k1_funct_1(k5_funct_6(C), A))  =>  (k9_xtuple_0(B)=k9_xtuple_0(C) &  (! [D] :  (r2_hidden(D, k9_xtuple_0(B)) =>  (r2_hidden(k4_tarski(D, A), k9_xtuple_0(k2_funct_5(C))) & k1_funct_1(B, D)=k1_binop_1(k2_funct_5(C), D, A)) ) ) ) ) ) ) ) ) ) ).
fof(t32_funct_6, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_funcop_1(B)) )  =>  (r2_hidden(A, k9_xtuple_0(k5_funct_6(B))) =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r2_tarski(C, k10_xtuple_0(B)) => r2_hidden(A, k9_xtuple_0(C))) ) ) ) ) ) ) ).
fof(t33_funct_6, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_funcop_1(C)) )  =>  ( (r2_tarski(A, k10_xtuple_0(C)) &  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r2_tarski(D, k10_xtuple_0(C)) => r2_hidden(B, k9_xtuple_0(D))) ) ) )  => r2_hidden(B, k9_xtuple_0(k5_funct_6(C)))) ) ) ) ) ) ).
fof(t34_funct_6, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_funcop_1(E)) )  =>  ( (r2_hidden(A, k9_xtuple_0(E)) &  (C=k1_funct_1(E, A) &  (r2_hidden(B, k9_xtuple_0(k5_funct_6(E))) & D=k1_funct_1(k5_funct_6(E), B)) ) )  => k1_funct_1(C, B)=k1_funct_1(D, A)) ) ) ) ) ) ) ) ) ).
fof(t35_funct_6, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_funcop_1(C)) )  =>  ( (r2_hidden(A, k9_xtuple_0(C)) &  ( (v1_relat_1(k1_funct_1(C, A)) & v1_funct_1(k1_funct_1(C, A)))  & r2_hidden(B, k9_xtuple_0(k5_funct_6(C)))) )  => k4_funct_6(C, A, B)=k4_funct_6(k5_funct_6(C), B, A)) ) ) ) ) ).
fof(d7_funct_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (B=k6_funct_6(A) <=>  (k9_xtuple_0(B)=k4_card_3(k1_funct_6(A)) &  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ~ ( (r2_tarski(C, k4_card_3(k1_funct_6(A))) &  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ~ ( (k1_funct_1(B, C)=D &  (k9_xtuple_0(D)=k9_xtuple_0(A) &  (! [E] :  (r2_hidden(E, k9_xtuple_0(D)) => k1_funct_1(D, E)=k1_binop_1(k2_funct_5(A), E, k1_funct_1(C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_funct_6, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_funcop_1(C)) )  =>  ( (r2_tarski(B, k4_card_3(k1_funct_6(C))) & r2_hidden(A, k9_xtuple_0(B)))  => k4_funct_6(k6_funct_6(C), B, A)=k4_funct_6(C, A, k1_funct_1(B, A))) ) ) ) ) ) ).
fof(t37_funct_6, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_funcop_1(E)) )  =>  ( (r2_hidden(A, k9_xtuple_0(E)) &  (B=k1_funct_1(E, A) &  (r2_tarski(C, k4_card_3(k1_funct_6(E))) & D=k1_funct_1(k6_funct_6(E), C)) ) )  =>  (r2_tarski(k1_funct_1(C, A), k9_xtuple_0(B)) &  (k1_funct_1(D, A)=k1_funct_1(B, k1_funct_1(C, A)) & r2_tarski(D, k4_card_3(k2_funct_6(E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_funct_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  => k10_xtuple_0(k6_funct_6(A))=k4_card_3(k2_funct_6(A))) ) ).
fof(t39_funct_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  ( ~ (r2_tarski(k1_xboole_0, k10_xtuple_0(A)))  =>  (v2_funct_1(k6_funct_6(A)) <=>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_tarski(B, k10_xtuple_0(A)) => v2_funct_1(B)) ) ) ) ) ) ) ).
fof(t40_funct_6, axiom,  (k5_funct_6(k1_xboole_0)=k1_xboole_0 & k6_funct_6(k1_xboole_0)=k17_funcop_1(k1_xboole_0, k1_xboole_0)) ).
fof(t41_funct_6, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( ~ (A=k1_xboole_0)  =>  (k9_xtuple_0(k5_funct_6(k7_funcop_1(A, B)))=k9_xtuple_0(B) &  (! [C] :  (r2_hidden(C, k9_xtuple_0(B)) => k1_funct_1(k5_funct_6(k7_funcop_1(A, B)), C)=k7_funcop_1(A, k1_funct_1(B, C))) ) ) ) ) ) ) ).
fof(t42_funct_6, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (k9_xtuple_0(k6_funct_6(k7_funcop_1(A, B)))=k1_funct_2(A, k9_xtuple_0(B)) &  (k10_xtuple_0(k6_funct_6(k7_funcop_1(A, B)))=k1_funct_2(A, k10_xtuple_0(B)) &  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r2_tarski(C, k1_funct_2(A, k9_xtuple_0(B))) => k1_funct_1(k6_funct_6(k7_funcop_1(A, B)), C)=k3_relat_1(C, B)) ) ) ) ) ) ) ) ).
fof(t43_funct_6, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (k9_xtuple_0(B)=A &  (k9_xtuple_0(C)=A &  (! [D] :  (r2_hidden(D, A) => r2_wellord2(k1_funct_1(B, D), k1_funct_1(C, D))) ) ) )  => r2_wellord2(k4_card_3(B), k4_card_3(C))) ) ) ) ) ) ).
fof(t44_funct_6, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (k9_xtuple_0(A)=k9_xtuple_0(C) &  (k9_xtuple_0(B)=k10_xtuple_0(C) &  (v2_funct_1(C) &  (! [D] :  (r2_hidden(D, k9_xtuple_0(C)) => r2_wellord2(k1_funct_1(A, D), k1_funct_1(B, k1_funct_1(C, D)))) ) ) ) )  => r2_wellord2(k4_card_3(A), k4_card_3(B))) ) ) ) ) ) ) ).
fof(t45_funct_6, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, A) &  (v3_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (k9_xtuple_0(B)=A => r2_wellord2(k4_card_3(B), k4_card_3(k3_relat_1(C, B)))) ) ) ) ) ) ).
fof(d8_funct_6, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k7_funct_6(A, B) <=>  (k9_xtuple_0(C)=k9_xtuple_0(A) &  (! [D] :  (r2_hidden(D, k9_xtuple_0(A)) => k1_funct_1(C, D)=k1_funct_2(k1_funct_1(A, D), B)) ) ) ) ) ) ) ) ) ).
fof(t46_funct_6, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  ( ~ (r2_tarski(k1_xboole_0, k10_xtuple_0(A)))  => k7_funct_6(A, k1_xboole_0)=k7_funcop_1(k9_xtuple_0(A), k1_xboole_0)) ) ) ).
fof(t47_funct_6, axiom,  (! [A] : k7_funct_6(k1_xboole_0, A)=k1_xboole_0) ).
fof(t48_funct_6, axiom,  (! [A] :  (! [B] :  (! [C] : k7_funct_6(k7_funcop_1(A, B), C)=k7_funcop_1(A, k1_funct_2(B, C))) ) ) ).
fof(t49_funct_6, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => r2_wellord2(k1_funct_2(k3_card_3(k2_card_3(B)), A), k4_card_3(k7_funct_6(B, A)))) ) ) ).
fof(d9_funct_6, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k8_funct_6(A, B) <=>  (k9_xtuple_0(C)=k9_xtuple_0(B) &  (! [D] :  (r2_hidden(D, k9_xtuple_0(B)) => k1_funct_1(C, D)=k1_funct_2(A, k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ).
fof(t50_funct_6, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => k8_funct_6(k1_xboole_0, A)=k7_funcop_1(k9_xtuple_0(A), k1_tarski(k1_xboole_0))) ) ).
fof(t51_funct_6, axiom,  (! [A] : k8_funct_6(A, k1_xboole_0)=k1_xboole_0) ).
fof(t52_funct_6, axiom,  (! [A] :  (! [B] :  (! [C] : k8_funct_6(A, k7_funcop_1(B, C))=k7_funcop_1(B, k1_funct_2(A, C))) ) ) ).
fof(t53_funct_6, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => r2_wellord2(k4_card_3(k8_funct_6(A, B)), k1_funct_2(A, k4_card_3(B)))) ) ) ).
fof(d10_funct_6, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => k9_funct_6(A)=k3_funct_5(k2_funct_5(A))) ) ).
fof(t54_funct_6, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (r2_tarski(B, k9_xtuple_0(k9_funct_6(A))) =>  (v1_relat_1(k1_funct_1(k9_funct_6(A), B)) & v1_funct_1(k1_funct_1(k9_funct_6(A), B))) ) ) ) ) ).
fof(t55_funct_6, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r2_tarski(D, k1_funct_2(A, k1_funct_2(B, C))) =>  (A=k1_xboole_0 |  (B=k1_xboole_0 | r2_tarski(k9_funct_6(D), k1_funct_2(B, k1_funct_2(A, C)))) ) ) ) ) ) ) ) ).
fof(t56_funct_6, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r2_tarski(D, k1_funct_2(A, k1_funct_2(B, C))) =>  (A=k1_xboole_0 |  (B=k1_xboole_0 |  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  (! [G] :  (! [H] :  ( (r2_tarski(G, A) &  (r2_tarski(H, B) &  (k1_funct_1(D, G)=E & k1_funct_1(k9_funct_6(D), H)=F) ) )  =>  (k1_funct_1(F, G)=k1_funct_1(E, H) &  (k9_xtuple_0(F)=A &  (k9_xtuple_0(E)=B &  (r1_tarski(k10_xtuple_0(F), C) & r1_tarski(k10_xtuple_0(E), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_funct_6, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r2_tarski(D, k1_funct_2(A, k1_funct_2(B, C))) =>  (A=k1_xboole_0 |  (B=k1_xboole_0 | k9_funct_6(k9_funct_6(D))=D) ) ) ) ) ) ) ) ).
fof(t58_funct_6, axiom, k9_funct_6(k1_xboole_0)=k1_xboole_0).
fof(t59_funct_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  => k9_xtuple_0(k1_funct_6(A))=k9_xtuple_0(A)) ) ).
fof(t60_funct_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  => k9_xtuple_0(k2_funct_6(A))=k9_xtuple_0(A)) ) ).
fof(dt_k1_funct_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (v1_relat_1(k1_funct_6(A)) & v1_funct_1(k1_funct_6(A))) ) ) ).
fof(dt_k2_funct_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (v1_relat_1(k2_funct_6(A)) & v1_funct_1(k2_funct_6(A))) ) ) ).
fof(dt_k5_funct_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (v1_relat_1(k5_funct_6(A)) & v1_funct_1(k5_funct_6(A))) ) ) ).
fof(dt_k6_funct_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (v1_relat_1(k6_funct_6(A)) & v1_funct_1(k6_funct_6(A))) ) ) ).
fof(dt_k7_funct_6, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k7_funct_6(A, B)) & v1_funct_1(k7_funct_6(A, B))) ) ) ).
fof(dt_k8_funct_6, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (v1_relat_1(k8_funct_6(A, B)) & v1_funct_1(k8_funct_6(A, B))) ) ) ).
fof(dt_k9_funct_6, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k9_funct_6(A)) &  (v1_funct_1(k9_funct_6(A)) & v1_funcop_1(k9_funct_6(A))) ) ) ) ).
fof(fc1_funct_7, axiom,  (! [A, B] :  ~ (v1_xboole_0(k17_funcop_1(A, B))) ) ).
fof(fc2_funct_7, axiom,  (! [A, B, C, D] :  ~ (v1_xboole_0(k6_funct_4(A, B, C, D))) ) ).
fof(rc1_funct_7, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_funcop_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ) ) ).
fof(cc1_funct_7, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) ) ) ) ).
fof(fc3_funct_7, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k2_finseq_2(A, B)) &  (v1_funct_1(k2_finseq_2(A, B)) &  (v1_funcop_1(k2_finseq_2(A, B)) & v1_finseq_1(k2_finseq_2(A, B))) ) ) ) ) ).
fof(fc4_funct_7, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_funcop_1(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_funcop_1(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v1_funcop_1(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc5_funct_7, axiom,  (! [A, B, C] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_xboole_0(k1_funct_7(A, B, C)) &  (v1_relat_1(k1_funct_7(A, B, C)) & v1_funct_1(k1_funct_7(A, B, C))) ) ) ) ).
fof(fc6_funct_7, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  ( ~ (v1_xboole_0(k1_funct_7(A, B, C)))  &  (v1_relat_1(k1_funct_7(A, B, C)) & v1_funct_1(k1_funct_7(A, B, C))) ) ) ) ).
fof(fc7_funct_7, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(k1_funct_7(A, B, C)) &  (v1_funct_1(k1_funct_7(A, B, C)) & v1_finseq_1(k1_funct_7(A, B, C))) ) ) ) ).
fof(cc2_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_funct_7(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_funcop_1(A) & v1_finseq_1(A)) ) ) ) ) ).
fof(cc3_funct_7, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_funct_7(A)) ) ) ) ) ).
fof(fc8_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v1_funct_7(k5_finseq_1(A))) ) ).
fof(rc2_funct_7, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) & v1_funct_7(A)) ) ) ) ) ) ) ) ) ).
fof(cc4_funct_7, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  =>  (! [B] :  (m2_funct_7(B, A) =>  (v2_relat_1(B) & v1_funct_7(B)) ) ) ) ) ).
fof(fc9_funct_7, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(k2_zfmisc_1(A, A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k2_zfmisc_1(A, A)))))) )  & v7_ordinal1(C))  => v1_relat_1(k1_funct_1(B, C))) ) ).
fof(fc10_funct_7, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  & v7_ordinal1(B))  =>  (v1_relat_1(k8_funct_7(A, B)) & v1_funct_1(k8_funct_7(A, B))) ) ) ).
fof(fc11_funct_7, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k9_funct_7(A, B, C)) & v1_funct_1(k9_funct_7(A, B, C))) ) ) ).
fof(fc12_funct_7, axiom,  (! [A, B] :  (v1_relat_1(k10_funct_7(A, B)) & v1_funct_1(k10_funct_7(A, B))) ) ).
fof(fc13_funct_7, axiom,  (! [A, B, C] :  (v1_relat_1(k12_funct_7(A, B, C)) & v1_funct_1(k12_funct_7(A, B, C))) ) ).
fof(fc14_funct_7, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  & m1_subset_1(D, A)) )  =>  (v1_relat_1(k1_funct_7(B, C, D)) &  (v5_relat_1(k1_funct_7(B, C, D), A) & v1_funct_1(k1_funct_7(B, C, D))) ) ) ) ).
fof(t1_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (r1_tarski(k10_xtuple_0(A), B) => k3_relat_1(A, k6_partfun1(B))=A) ) ) ) ).
fof(t2_funct_7, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v2_funct_1(C) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(B)) =>  (r1_tarski(E, k7_relset_1(A, B, C, D)) => r1_tarski(k8_relset_1(A, B, C, E), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_funct_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v2_funct_1(C) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  (r2_tarski(k3_funct_2(A, B, C, D), k7_relset_1(A, B, C, E)) => r2_tarski(D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_funct_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v2_funct_1(C) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(B)) =>  (r2_tarski(k3_funct_2(A, B, C, D), k7_subset_1(B, k7_relset_1(A, B, C, E), F)) => r2_tarski(D, k7_subset_1(A, E, k8_relset_1(A, B, C, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_funct_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v2_funct_1(C) =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(B)) =>  (r2_tarski(D, k7_subset_1(B, k7_relset_1(A, B, C, E), F)) => r2_tarski(k1_funct_1(k2_funct_1(C), D), k7_subset_1(A, E, k8_relset_1(A, B, C, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (r2_tarski(B, k9_xtuple_0(A)) => k5_relat_1(A, k1_tarski(B))=k17_funcop_1(B, k1_funct_1(A, B))) ) ) ) ).
fof(t7_funct_7, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (r2_tarski(C, A) => k17_funcop_1(C, k1_funct_1(B, C))=k5_relat_1(B, k1_tarski(C))) ) ) ) ) ).
fof(t8_funct_7, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k2_zfmisc_1(A, B)) &  (v1_funct_1(C) & v1_partfun1(C, k2_zfmisc_1(A, B))) ) )  =>  (! [D] :  (! [E] :  ( (r2_tarski(D, A) & r2_tarski(E, B))  => k18_funcop_1(D, E, k1_binop_1(C, D, E))=k5_relat_1(C, k2_zfmisc_1(k1_tarski(D), k1_tarski(E)))) ) ) ) ) ) ) ).
fof(t9_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_tarski(k10_xtuple_0(C), k9_xtuple_0(A)) => k3_relat_1(k1_funct_4(B, C), A)=k1_funct_4(k3_relat_1(B, A), k3_relat_1(C, A))) ) ) ) ) ) ) ).
fof(t10_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => k3_relat_1(A, k1_funct_4(B, C))=k1_funct_4(k3_relat_1(A, B), k3_relat_1(A, C))) ) ) ) ) ) ).
fof(t11_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_xboole_0(k10_xtuple_0(A), k9_xtuple_0(B)) => k3_relat_1(A, k1_funct_4(C, B))=k3_relat_1(A, C)) ) ) ) ) ) ) ).
fof(t12_funct_7, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (r1_xboole_0(A, k10_xtuple_0(k1_funct_4(k6_partfun1(B), k7_funcop_1(A, C)))))  => r2_tarski(C, A)) ) ) ) ).
fof(t13_funct_7, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (A=B)  & r2_tarski(A, k10_xtuple_0(k1_funct_4(k6_partfun1(C), k17_funcop_1(A, B))))) ) ) ) ) ).
fof(t14_funct_7, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (k9_xtuple_0(C)=k2_xboole_0(A, k1_tarski(B)) => C=k1_funct_4(k5_relat_1(C, A), k17_funcop_1(B, k1_funct_1(C, B)))) ) ) ) ) ).
fof(t15_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (! [D] : k1_funct_4(k1_funct_4(A, k7_funcop_1(B, C)), k7_funcop_1(B, D))=k1_funct_4(A, k7_funcop_1(B, D))) ) ) ) ) ).
fof(t16_funct_7, axiom,  ~ (k4_numbers=k3_finseq_2(k4_numbers)) ).
fof(t17_funct_7, axiom, k3_finseq_2(k1_xboole_0)=k1_tarski(k1_xboole_0)).
fof(t18_funct_7, axiom,  (! [A] :  (! [B] :  (r2_tarski(k9_finseq_1(B), k3_finseq_2(A)) <=> r2_hidden(B, A)) ) ) ).
fof(t19_funct_7, axiom,  (! [A] :  (! [B] :  (r1_tarski(k3_finseq_2(A), k3_finseq_2(B)) => r1_tarski(A, B)) ) ) ).
fof(t20_funct_7, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k4_ordinal1)) =>  ( (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(B, A) =>  (r1_xxreal_0(B, C) | r2_tarski(C, A)) ) ) ) ) )  => v1_card_1(A)) ) ) ).
fof(t21_funct_7, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  (? [C] :  (m2_subset_1(C, k1_zfmisc_1(A), B) &  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (r1_tarski(D, C) => D=C) ) ) ) ) ) ) ) ) ).
fof(t22_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (k3_finseq_1(A)=k1_nat_1(k3_finseq_1(B), 1) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) <=>  (r2_tarski(C, k4_finseq_1(A)) & r2_tarski(k1_nat_1(C, 1), k4_finseq_1(A))) ) ) ) ) ) ) ) ) ).
fof(t23_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (v1_funcop_1(k7_finseq_1(A, B)) =>  (v1_funcop_1(A) & v1_funcop_1(B)) ) ) ) ) ) ).
fof(d2_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (r1_funct_7(A, B, C) <=> k5_relat_1(A, k6_subset_1(k9_xtuple_0(A), C))=k5_relat_1(B, k6_subset_1(k9_xtuple_0(B), C))) ) ) ) ) ) ).
fof(t25_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] : r1_funct_7(A, A, B)) ) ) ).
fof(t26_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (r1_funct_7(A, B, C) => r1_funct_7(B, A, C)) ) ) ) ) ) ).
fof(t27_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (r1_funct_7(A, B, D) & r1_funct_7(B, C, D))  => r1_funct_7(A, C, D)) ) ) ) ) ) ) ) ).
fof(t28_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (r1_funct_7(A, B, C) => k6_subset_1(k9_xtuple_0(A), C)=k6_subset_1(k9_xtuple_0(B), C)) ) ) ) ) ) ).
fof(t29_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (r1_tarski(k9_xtuple_0(B), C) => r1_funct_7(A, k1_funct_4(A, B), C)) ) ) ) ) ) ).
fof(d3_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  ( (r2_hidden(B, k9_xtuple_0(A)) => k1_funct_7(A, B, C)=k1_funct_4(A, k17_funcop_1(B, C)))  &  ( ~ (r2_hidden(B, k9_xtuple_0(A)))  => k1_funct_7(A, B, C)=A) ) ) ) ) ) ).
fof(t30_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] : k9_xtuple_0(k1_funct_7(A, C, B))=k9_xtuple_0(A)) ) ) ) ).
fof(t31_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (r2_hidden(C, k9_xtuple_0(A)) => k1_funct_1(k1_funct_7(A, C, B), C)=B) ) ) ) ) ).
fof(t32_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (! [D] :  ( ~ (C=D)  => k1_funct_1(k1_funct_7(A, C, B), D)=k1_funct_1(A, D)) ) ) ) ) ) ).
fof(t33_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( ~ (D=E)  => k1_funct_7(k1_funct_7(A, D, B), E, C)=k1_funct_7(k1_funct_7(A, E, C), D, B)) ) ) ) ) ) ) ).
fof(t34_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (! [D] : k1_funct_7(k1_funct_7(A, D, B), D, C)=k1_funct_7(A, D, C)) ) ) ) ) ).
fof(t35_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] : k1_funct_7(A, B, k1_funct_1(A, B))=A) ) ) ).
fof(t36_funct_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(B)) => k7_partfun1(A, k2_funct_7(A, B, D, C), D)=C) ) ) ) ) ) ) ) ) ).
fof(t37_funct_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(B)) =>  (D=E | k7_partfun1(A, k2_funct_7(A, B, D, C), E)=k7_partfun1(A, B, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_funct_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (v7_ordinal1(E) => k2_funct_7(A, B, E, k7_partfun1(A, B, E))=B) ) ) ) ) ) ) ) ) ) ).
fof(d4_funct_7, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_funcop_1(B) & v1_finseq_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k3_funct_7(A, B) <=>  (? [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v1_funct_1(D) &  (v1_partfun1(D, k4_ordinal1) & v1_funcop_1(D)) ) ) )  &  (C=k1_funct_1(D, k3_finseq_1(B)) &  (k1_funct_1(D, k5_numbers)=k6_partfun1(A) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(k1_nat_1(E, 1), k4_finseq_1(B)) =>  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  (! [G] :  ( (v1_relat_1(G) & v1_funct_1(G))  =>  ( (F=k1_funct_1(D, E) & G=k1_funct_1(B, k1_nat_1(E, 1)))  => k1_funct_1(D, k1_nat_1(E, 1))=k3_relat_1(F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_funcop_1(A) & v1_finseq_1(A)) ) )  =>  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (C=k4_funct_7(A, B) <=>  (k3_finseq_1(C)=k1_nat_1(k3_finseq_1(A), 1) &  (k1_funct_1(C, 1)=B &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  ( (r2_tarski(D, k4_finseq_1(A)) & E=k1_funct_1(A, D))  => k1_funct_1(C, k1_nat_1(D, 1))=k1_funct_1(E, k1_funct_1(C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_funct_7, axiom,  (! [A] : k3_funct_7(A, k1_xboole_0)=k6_partfun1(A)) ).
fof(t40_funct_7, axiom,  (! [A] : k4_funct_7(k1_xboole_0, A)=k9_finseq_1(A)) ).
fof(t41_funct_7, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_funcop_1(B) & v1_finseq_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => k3_funct_7(A, k7_finseq_1(B, k9_finseq_1(C)))=k3_relat_1(k3_funct_7(A, B), C)) ) ) ) ) ).
fof(t42_funct_7, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_funcop_1(B) & v1_finseq_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => k4_funct_7(k7_finseq_1(B, k9_finseq_1(C)), A)=k7_finseq_1(k4_funct_7(B, A), k9_finseq_1(k1_funct_1(C, k1_funct_1(k4_funct_7(B, A), k1_nat_1(k3_finseq_1(B), 1)))))) ) ) ) ) ).
fof(t43_funct_7, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_funcop_1(B) & v1_finseq_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => k3_funct_7(A, k7_finseq_1(k9_finseq_1(C), B))=k3_relat_1(k5_relat_1(C, A), k3_funct_7(k7_relat_1(C, A), B))) ) ) ) ) ).
fof(t44_funct_7, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_funcop_1(B) & v1_finseq_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => k4_funct_7(k7_finseq_1(k9_finseq_1(C), B), A)=k7_finseq_1(k9_finseq_1(A), k4_funct_7(B, k1_funct_1(C, A)))) ) ) ) ) ).
fof(t45_funct_7, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => k3_funct_7(A, k9_finseq_1(B))=k3_relat_1(k6_partfun1(A), B)) ) ) ).
fof(t46_funct_7, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_tarski(k9_xtuple_0(B), A) => k3_funct_7(A, k9_finseq_1(B))=B) ) ) ) ).
fof(t47_funct_7, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => k4_funct_7(k9_finseq_1(B), A)=k10_finseq_1(A, k1_funct_1(B, A))) ) ) ).
fof(t48_funct_7, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_funcop_1(C) & v1_finseq_1(C)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v1_funcop_1(D) & v1_finseq_1(D)) ) )  =>  (r1_tarski(k10_xtuple_0(k3_funct_7(A, C)), B) => k3_funct_7(A, k7_finseq_1(C, D))=k3_relat_1(k3_funct_7(A, C), k3_funct_7(B, D))) ) ) ) ) ) ) ).
fof(t49_funct_7, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_funcop_1(B) & v1_finseq_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_funcop_1(C) & v1_finseq_1(C)) ) )  => k1_funct_1(k4_funct_7(k7_finseq_1(B, C), A), k1_nat_1(k3_finseq_1(k7_finseq_1(B, C)), 1))=k1_funct_1(k4_funct_7(C, k1_funct_1(k4_funct_7(B, A), k1_nat_1(k3_finseq_1(B), 1))), k1_nat_1(k3_finseq_1(C), 1))) ) ) ) ) ).
fof(t50_funct_7, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_funcop_1(B) & v1_finseq_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_funcop_1(C) & v1_finseq_1(C)) ) )  => k4_funct_7(k7_finseq_1(B, C), A)=k1_rewrite1(k4_funct_7(B, A), k4_funct_7(C, k1_funct_1(k4_funct_7(B, A), k1_nat_1(k3_finseq_1(B), 1))))) ) ) ) ) ).
fof(t51_funct_7, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => k3_funct_7(A, k10_finseq_1(B, C))=k3_relat_1(k6_partfun1(A), k3_relat_1(B, C))) ) ) ) ) ).
fof(t52_funct_7, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r1_tarski(k9_xtuple_0(B), A) | r1_tarski(k9_xtuple_0(k3_relat_1(B, C)), A))  => k3_funct_7(A, k10_finseq_1(B, C))=k3_relat_1(B, C)) ) ) ) ) ) ).
fof(t53_funct_7, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => k4_funct_7(k10_finseq_1(B, C), A)=k11_finseq_1(A, k1_funct_1(B, A), k1_funct_1(C, k1_funct_1(B, A)))) ) ) ) ) ).
fof(t54_funct_7, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  => k3_funct_7(A, k11_finseq_1(B, C, D))=k3_relat_1(k6_partfun1(A), k3_relat_1(B, k3_relat_1(C, D)))) ) ) ) ) ) ) ).
fof(t55_funct_7, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( ~ ( ( ~ (r1_tarski(k9_xtuple_0(B), A))  &  ( ~ (r1_tarski(k9_xtuple_0(k3_relat_1(B, C)), A))  &  ~ (r1_tarski(k9_xtuple_0(k3_relat_1(B, k3_relat_1(C, D))), A)) ) ) )  => k3_funct_7(A, k11_finseq_1(B, C, D))=k3_relat_1(B, k3_relat_1(C, D))) ) ) ) ) ) ) ) ).
fof(t56_funct_7, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  => k4_funct_7(k11_finseq_1(B, C, D), A)=k7_finseq_1(k9_finseq_1(A), k11_finseq_1(k1_funct_1(B, A), k1_funct_1(C, k1_funct_1(B, A)), k1_funct_1(D, k1_funct_1(C, k1_funct_1(B, A)))))) ) ) ) ) ) ) ).
fof(d6_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_xboole_0(A) =>  (B=k5_funct_7(A) <=> v1_xboole_0(B)) )  &  ( ~ (v1_xboole_0(A))  =>  (B=k5_funct_7(A) <=> B=k9_xtuple_0(k1_funct_1(A, 1))) ) ) ) ) ) ).
fof(d7_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_xboole_0(A) =>  (B=k6_funct_7(A) <=> v1_xboole_0(B)) )  &  ( ~ (v1_xboole_0(A))  =>  (B=k6_funct_7(A) <=> B=k10_xtuple_0(k1_funct_1(A, k3_finseq_1(A)))) ) ) ) ) ) ).
fof(t57_funct_7, axiom,  (k5_funct_7(k1_xboole_0)=k1_xboole_0 & k6_funct_7(k1_xboole_0)=k1_xboole_0) ).
fof(t58_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (k5_funct_7(k7_finseq_1(k9_finseq_1(A), B))=k9_xtuple_0(A) & k6_funct_7(k7_finseq_1(B, k9_finseq_1(A)))=k10_xtuple_0(A)) ) ) ) ) ).
fof(t59_funct_7, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_funcop_1(B) & v1_finseq_1(B)) ) )  =>  ( ~ (B=k1_xboole_0)  => r1_tarski(k10_xtuple_0(k3_funct_7(A, B)), k6_funct_7(B))) ) ) ) ).
fof(d8_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_funct_7(A) <=>  (? [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  &  (k3_finseq_1(B)=k1_nat_1(k3_finseq_1(A), 1) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(A)) => r2_tarski(k1_funct_1(A, C), k1_funct_2(k1_funct_1(B, C), k1_funct_1(B, k1_nat_1(C, 1))))) ) ) ) ) ) ) ) ) ).
fof(t60_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (v1_funct_7(k7_finseq_1(A, B)) =>  (v1_funct_7(A) & v1_funct_7(B)) ) ) ) ) ) ).
fof(t61_funct_7, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_funct_7(B)) ) )  =>  ( ~ (B=k1_xboole_0)  => k9_xtuple_0(k3_funct_7(A, B))=k3_xboole_0(k5_funct_7(B), A)) ) ) ) ).
fof(t62_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_funct_7(A)) ) )  => k9_xtuple_0(k3_funct_7(k5_funct_7(A), A))=k5_funct_7(A)) ) ).
fof(t63_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_funct_7(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_tarski(k10_xtuple_0(B), k5_funct_7(A)) =>  (v1_relat_1(k7_finseq_1(k9_finseq_1(B), A)) &  (v1_funct_1(k7_finseq_1(k9_finseq_1(B), A)) &  (v1_finseq_1(k7_finseq_1(k9_finseq_1(B), A)) & v1_funct_7(k7_finseq_1(k9_finseq_1(B), A))) ) ) ) ) ) ) ) ).
fof(t64_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_funct_7(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_tarski(k6_funct_7(A), k9_xtuple_0(B)) =>  (v1_relat_1(k7_finseq_1(A, k9_finseq_1(B))) &  (v1_funct_1(k7_finseq_1(A, k9_finseq_1(B))) &  (v1_finseq_1(k7_finseq_1(A, k9_finseq_1(B))) & v1_funct_7(k7_finseq_1(A, k9_finseq_1(B)))) ) ) ) ) ) ) ) ).
fof(t65_funct_7, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) & v1_funct_7(C)) ) )  =>  ( (r2_hidden(B, k5_funct_7(C)) & r2_hidden(B, A))  => k1_funct_1(k4_funct_7(C, B), k1_nat_1(k3_finseq_1(C), 1))=k1_funct_1(k3_funct_7(A, C), B)) ) ) ) ) ).
fof(d9_funct_7, axiom,  (! [A] :  (! [B] :  ( (v1_xboole_0(B) => v1_xboole_0(A))  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) & v1_funct_7(C)) ) )  =>  (m1_funct_7(C, A, B) <=>  (k5_funct_7(C)=A & r1_tarski(k6_funct_7(C), B)) ) ) ) ) ) ) ).
fof(d10_funct_7, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (m2_funct_7(B, A) <=>  (k1_nat_1(k3_finseq_1(B), 1)=k3_finseq_1(A) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => r2_tarski(k1_funct_1(B, C), k1_funct_2(k1_funct_1(A, C), k1_funct_1(A, k1_nat_1(C, 1))))) ) ) ) ) ) ) ) ) ).
fof(t66_funct_7, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  =>  (! [B] :  (m2_funct_7(B, A) =>  ( ~ (B=k1_xboole_0)  =>  (k5_funct_7(B)=k1_funct_1(A, 1) & r1_tarski(k6_funct_7(B), k1_funct_1(A, k3_finseq_1(A)))) ) ) ) ) ) ).
fof(t67_funct_7, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  =>  (! [B] :  (m2_funct_7(B, A) =>  (k9_xtuple_0(k3_funct_7(k1_funct_1(A, 1), B))=k1_funct_1(A, 1) & r1_tarski(k10_xtuple_0(k3_funct_7(k1_funct_1(A, 1), B)), k1_funct_1(A, k3_finseq_1(A)))) ) ) ) ) ).
fof(d11_funct_7, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_relat_1(C) =>  (C=k8_funct_7(A, B) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(k2_zfmisc_1(k1_relat_1(A), k1_relat_1(A)))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k2_zfmisc_1(k1_relat_1(A), k1_relat_1(A))))))) )  &  (C=k1_funct_1(D, B) &  (r2_relset_1(k1_relat_1(A), k1_relat_1(A), k3_funct_2(k4_ordinal1, k9_setfam_1(k2_zfmisc_1(k1_relat_1(A), k1_relat_1(A))), D, k5_numbers), k6_partfun1(k1_relat_1(A))) &  (! [E] :  (v7_ordinal1(E) => k3_funct_2(k4_ordinal1, k9_setfam_1(k2_zfmisc_1(k1_relat_1(A), k1_relat_1(A))), D, k1_nat_1(E, 1))=k3_relat_1(A, k1_funct_1(D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_funct_7, axiom,  (! [A] :  (v1_relat_1(A) => k8_funct_7(A, k5_numbers)=k6_partfun1(k1_relat_1(A))) ) ).
fof(t69_funct_7, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v7_ordinal1(B) => k8_funct_7(A, k1_nat_1(B, 1))=k3_relat_1(A, k8_funct_7(A, B))) ) ) ) ).
fof(t70_funct_7, axiom,  (! [A] :  (v1_relat_1(A) => k8_funct_7(A, 1)=A) ) ).
fof(t71_funct_7, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v7_ordinal1(B) => k8_funct_7(A, k1_nat_1(B, 1))=k3_relat_1(k8_funct_7(A, B), A)) ) ) ) ).
fof(t72_funct_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_relat_1(B) =>  (r1_tarski(k9_xtuple_0(k8_funct_7(B, A)), k1_relat_1(B)) & r1_tarski(k10_xtuple_0(k8_funct_7(B, A)), k1_relat_1(B))) ) ) ) ) ).
fof(t73_funct_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_relat_1(B) =>  ( ~ (A=k5_numbers)  =>  (r1_tarski(k9_xtuple_0(k8_funct_7(B, A)), k9_xtuple_0(B)) & r1_tarski(k10_xtuple_0(k8_funct_7(B, A)), k10_xtuple_0(B))) ) ) ) ) ) ).
fof(t74_funct_7, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_tarski(k10_xtuple_0(A), k9_xtuple_0(A)) =>  (k9_xtuple_0(k8_funct_7(A, B))=k9_xtuple_0(A) & r1_tarski(k10_xtuple_0(k8_funct_7(A, B)), k9_xtuple_0(A))) ) ) ) ) ) ).
fof(t75_funct_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_relat_1(B) => k3_relat_1(k6_partfun1(k1_relat_1(B)), k8_funct_7(B, A))=k8_funct_7(B, A)) ) ) ) ).
fof(t76_funct_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_relat_1(B) => k3_relat_1(k8_funct_7(B, A), k6_partfun1(k1_relat_1(B)))=k8_funct_7(B, A)) ) ) ) ).
fof(t77_funct_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_relat_1(C) => k3_relat_1(k8_funct_7(C, A), k8_funct_7(C, B))=k8_funct_7(C, k2_xcmplx_0(B, A))) ) ) ) ) ) ).
fof(t78_funct_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_relat_1(C) =>  ( ~ (B=k5_numbers)  => k8_funct_7(k8_funct_7(C, A), B)=k8_funct_7(C, k3_xcmplx_0(A, B))) ) ) ) ) ) ) ).
fof(t79_funct_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_relat_1(C) =>  (r1_tarski(k10_xtuple_0(C), k9_xtuple_0(C)) => k8_funct_7(k8_funct_7(C, A), B)=k8_funct_7(C, k3_xcmplx_0(A, B))) ) ) ) ) ) ) ).
fof(t80_funct_7, axiom,  (! [A] :  (v7_ordinal1(A) => k8_funct_7(k1_xboole_0, A)=k1_xboole_0) ) ).
fof(t81_funct_7, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) => k8_funct_7(k6_partfun1(A), B)=k6_partfun1(A)) ) ) ).
fof(t82_funct_7, axiom,  (! [A] :  (v1_relat_1(A) =>  (r1_xboole_0(k10_xtuple_0(A), k9_xtuple_0(A)) => k8_funct_7(A, 2)=k1_xboole_0) ) ) ).
fof(t83_funct_7, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (v1_funct_1(k8_funct_7(C, B)) &  (v1_funct_2(k8_funct_7(C, B), A, A) & m1_subset_1(k8_funct_7(C, B), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ) ) ).
fof(t84_funct_7, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  => k8_funct_7(B, k5_numbers)=k6_partfun1(A)) ) ) ).
fof(t85_funct_7, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  => k8_funct_7(k8_funct_7(D, B), C)=k8_funct_7(D, k3_xcmplx_0(B, C))) ) ) ) ) ) ) ).
fof(t86_funct_7, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (v1_funct_1(k8_funct_7(C, B)) & m1_subset_1(k8_funct_7(C, B), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ) ).
fof(t87_funct_7, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_hidden(A, B) & C=k7_funcop_1(B, A))  =>  (D=k5_numbers | k8_funct_7(C, D)=C) ) ) ) ) ) ) ) ).
fof(t88_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (v7_ordinal1(B) => k8_funct_7(A, B)=k3_funct_7(k1_relat_1(A), k2_finseq_2(B, A))) ) ) ) ).
fof(t89_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (! [D] :  (r1_tarski(B, A) =>  (r2_tarski(C, k9_xtuple_0(B)) | r1_tarski(B, k1_funct_7(A, C, D))) ) ) ) ) ) ) ) ).
fof(t90_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (k5_relat_1(A, C)=k5_relat_1(B, C) & r1_funct_7(A, B, C))  => A=B) ) ) ) ) ) ).
fof(t91_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (! [D] :  (r2_tarski(B, D) => r1_funct_7(A, k1_funct_7(A, B, C), D)) ) ) ) ) ) ).
fof(t92_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (! [D] :  (r2_hidden(B, D) | k5_relat_1(k1_funct_7(A, B, C), D)=k5_relat_1(A, D)) ) ) ) ) ) ).
fof(t93_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (! [D] :  (! [E] :  (k5_relat_1(A, E)=k5_relat_1(B, E) => k5_relat_1(k1_funct_7(A, C, D), E)=k5_relat_1(k1_funct_7(B, C, D), E)) ) ) ) ) ) ) ) ).
fof(t94_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] : k1_funct_1(k1_funct_4(A, k17_funcop_1(B, C)), B)=C) ) ) ) ).
fof(t95_funct_7, axiom,  (! [A] :  (! [B] : k1_funct_7(k9_finseq_1(A), 1, B)=k9_finseq_1(B)) ) ).
fof(t96_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (r2_tarski(B, k9_xtuple_0(A)) => k1_funct_4(A, k17_funcop_1(B, k1_funct_1(A, B)))=A) ) ) ) ).
fof(t97_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (! [C] :  (v7_ordinal1(C) => k3_finseq_1(k1_funct_7(A, C, B))=k3_finseq_1(A)) ) ) ) ) ).
fof(t98_funct_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, B) =>  (! [D] :  (m1_subset_1(D, B) =>  (r2_tarski(A, k4_finseq_1(C)) => k2_funct_7(B, C, A, D)=k8_finseq_1(B, k8_finseq_1(B, k17_finseq_1(B, k7_nat_d(A, 1), C), k12_finseq_1(B, D)), k2_rfinseq(B, A, C))) ) ) ) ) ) ) ) ) ).
fof(d12_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  ( ( (r2_hidden(B, k9_xtuple_0(A)) & r2_hidden(C, k9_xtuple_0(A)))  => k9_funct_7(A, B, C)=k1_funct_7(k1_funct_7(A, B, k1_funct_1(A, C)), C, k1_funct_1(A, B)))  &  ( ~ ( (r2_hidden(B, k9_xtuple_0(A)) & r2_hidden(C, k9_xtuple_0(A))) )  => k9_funct_7(A, B, C)=A) ) ) ) ) ) ).
fof(t99_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] : k9_xtuple_0(k9_funct_7(A, B, C))=k9_xtuple_0(A)) ) ) ) ).
fof(t100_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] : r1_tarski(k10_xtuple_0(k1_funct_7(A, B, C)), k2_xboole_0(k10_xtuple_0(A), k1_tarski(C)))) ) ) ) ).
fof(t101_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] : r1_tarski(k10_xtuple_0(A), k2_xboole_0(k10_xtuple_0(k1_funct_7(A, B, C)), k1_tarski(k1_funct_1(A, B))))) ) ) ) ).
fof(t102_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (r2_hidden(B, k9_xtuple_0(A)) => r2_hidden(C, k10_xtuple_0(k1_funct_7(A, B, C)))) ) ) ) ) ).
fof(t103_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] : k10_xtuple_0(k9_funct_7(A, B, C))=k10_xtuple_0(A)) ) ) ) ).
fof(t104_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  (r1_funct_7(A, B, D) => r1_funct_7(k1_funct_4(A, C), k1_funct_4(B, C), D)) ) ) ) ) ) ) ) ).
fof(t105_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  (r1_funct_7(A, B, D) => r1_funct_7(k1_funct_4(C, A), k1_funct_4(C, B), D)) ) ) ) ) ) ) ) ).
fof(t106_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (k1_funct_4(A, C)=k1_funct_4(B, C) <=> r1_funct_7(A, B, k9_xtuple_0(C))) ) ) ) ) ) ) ).
fof(t107_funct_7, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (k1_funct_1(D, A)=k1_funct_1(D, B) => k1_funct_1(D, C)=k1_funct_1(k3_relat_1(k1_funct_7(k6_partfun1(k9_xtuple_0(D)), A, B), D), C)) ) ) ) ) ) ).
fof(t108_funct_7, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r2_tarski(A, k9_xtuple_0(C)) =>  (r2_tarski(B, k9_xtuple_0(C)) & k1_funct_1(C, A)=k1_funct_1(C, B)) )  => C=k3_relat_1(k1_funct_7(k6_partfun1(k9_xtuple_0(C)), A, B), C)) ) ) ) ) ).
fof(t109_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (r2_tarski(B, k9_xtuple_0(A)) => k1_funct_4(A, k17_funcop_1(B, k1_funct_1(A, B)))=A) ) ) ) ).
fof(t110_funct_7, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) &  (v3_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (v1_funct_1(k1_funct_7(k1_funct_7(B, C, k1_funct_1(B, D)), D, k1_funct_1(B, C))) &  (v1_funct_2(k1_funct_7(k1_funct_7(B, C, k1_funct_1(B, D)), D, k1_funct_1(B, C)), A, A) &  (v3_funct_2(k1_funct_7(k1_funct_7(B, C, k1_funct_1(B, D)), D, k1_funct_1(B, C)), A, A) & m1_subset_1(k1_funct_7(k1_funct_7(B, C, k1_funct_1(B, D)), D, k1_funct_1(B, C)), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ) ) ) ) ) ).
fof(t111_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  ~ ( (r2_tarski(B, k9_xtuple_0(A)) &  (r2_tarski(C, k9_xtuple_0(A)) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k9_xtuple_0(A), k9_xtuple_0(A)) &  (v3_funct_2(D, k9_xtuple_0(A), k9_xtuple_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k9_xtuple_0(A), k9_xtuple_0(A))))) ) )  =>  ~ (k1_funct_7(k1_funct_7(A, B, k1_funct_1(A, C)), C, k1_funct_1(A, B))=k3_relat_1(D, A)) ) ) ) ) ) ) ) ) ) ).
fof(t112_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (r2_tarski(B, k9_xtuple_0(A)) => k9_xtuple_0(A)=k9_xtuple_0(k1_funct_4(A, k17_funcop_1(B, C)))) ) ) ) ) ).
fof(t113_funct_7, axiom,  (! [A] :  (m2_finseq_1(A, k4_numbers) =>  (! [B] :  (m2_finseq_1(B, k4_numbers) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k3_finseq_1(A)) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(A)) & B=k2_funct_7(k4_numbers, k2_funct_7(k4_numbers, A, C, k7_partfun1(k4_numbers, A, D)), D, k7_partfun1(k4_numbers, A, C))) ) ) )  =>  (k1_funct_1(A, C)=k1_funct_1(B, D) &  (k1_funct_1(A, D)=k1_funct_1(B, C) &  ( (! [E] :  (r2_tarski(E, k4_finseq_1(A)) =>  (E=C |  (E=D | k1_funct_1(A, E)=k1_funct_1(B, E)) ) ) )  & r2_classes1(A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t114_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  ~ ( ( ~ (B=D)  &  ( ~ (B=F)  &  ~ (k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(A, k17_funcop_1(B, C)), k17_funcop_1(D, E)), k17_funcop_1(F, G)), B)=C) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t115_funct_7, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (r2_tarski(D, B) =>  (v1_funct_1(k1_funct_7(E, C, D)) &  (v1_funct_2(k1_funct_7(E, C, D), A, B) & m1_subset_1(k1_funct_7(E, C, D), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ) ) ) ) ).
fof(t116_funct_7, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (! [D] :  (r1_tarski(k10_xtuple_0(B), A) => k8_funct_4(B, C, D)=k3_relat_1(B, k1_funct_7(k6_partfun1(A), C, D))) ) ) ) ) ) ).
fof(t117_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (! [D] : k8_funct_4(k1_funct_4(A, B), C, D)=k1_funct_4(k8_funct_4(A, C, D), k8_funct_4(B, C, D))) ) ) ) ) ) ).
fof(d13_funct_7, axiom,  (! [A] :  (! [B] : k10_funct_7(A, B)=k1_funct_7(k7_funcop_1(k4_ordinal1, B), k5_numbers, A)) ) ).
fof(t118_funct_7, axiom,  (! [A] :  (! [B] : k9_xtuple_0(k10_funct_7(A, B))=k4_ordinal1) ) ).
fof(t119_funct_7, axiom,  (! [A] :  (! [B] : k1_funct_1(k10_funct_7(A, B), k5_numbers)=A) ) ).
fof(t120_funct_7, axiom,  (! [A] :  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  => k1_funct_1(k10_funct_7(A, B), C)=B) ) ) ) ) ).
fof(d14_funct_7, axiom,  (! [A] :  (! [B] :  (! [C] : k12_funct_7(A, B, C)=k1_funct_4(k7_funcop_1(k4_ordinal1, C), k6_funct_4(k5_numbers, 1, A, B))) ) ) ).
fof(t121_funct_7, axiom,  (! [A] :  (! [B] :  (! [C] : k9_xtuple_0(k12_funct_7(A, B, C))=k4_ordinal1) ) ) ).
fof(t122_funct_7, axiom,  (! [A] :  (! [B] :  (! [C] : k1_funct_1(k12_funct_7(A, B, C), k5_numbers)=A) ) ) ).
fof(t123_funct_7, axiom,  (! [A] :  (! [B] :  (! [C] : k1_funct_1(k12_funct_7(A, B, C), 1)=B) ) ) ).
fof(t124_funct_7, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (v7_ordinal1(D) =>  ( ~ (r1_xxreal_0(D, 1))  => k1_funct_1(k12_funct_7(A, B, C), D)=C) ) ) ) ) ) ).
fof(t125_funct_7, axiom,  (! [A] :  (! [B] :  (! [C] : k12_funct_7(A, B, C)=k1_funct_7(k10_funct_7(A, C), 1, B)) ) ) ).
fof(t126_funct_7, axiom,  (! [A] :  (! [B] : k10_xtuple_0(k10_funct_7(A, B))=k2_tarski(A, B)) ) ).
fof(t127_funct_7, axiom,  (! [A] :  (! [B] :  (! [C] : k10_xtuple_0(k12_funct_7(A, B, C))=k1_enumset1(A, B, C)) ) ) ).
fof(t128_funct_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] : k1_funct_1(k1_funct_7(C, D, E), D)=E) ) ) ) ) ) ) ) ) ).
fof(t129_funct_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  (m1_subset_1(E, A) =>  ( (! [F] :  (m1_subset_1(F, A) =>  ( ~ (k3_funct_2(A, B, C, F)=k3_funct_2(A, B, D, F))  => F=E) ) )  => r2_funct_2(A, B, C, k14_funct_7(A, B, D, E, k3_funct_2(A, B, C, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t130_funct_7, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) & v1_funct_1(C)) )  => r1_funct_7(B, k1_funct_4(B, C), A)) ) ) ) ) ).
fof(t131_funct_7, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) & v1_funct_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) & v1_funct_1(C)) )  => r1_funct_7(B, C, A)) ) ) ) ) ).
fof(t132_funct_7, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) & v1_funct_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) & v1_funct_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  => r1_funct_7(k1_funct_4(D, B), k1_funct_4(D, C), A)) ) ) ) ) ) ) ).
fof(t133_funct_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) & v1_funct_1(B)) )  => k1_card_1(k61_valued_1(B, A))=k1_card_1(B)) ) ) ) ).
fof(t134_funct_7, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (k9_xtuple_0(C)=k9_xtuple_0(D) &  (r1_tarski(k9_xtuple_0(C), k2_xboole_0(A, B)) & k5_relat_1(C, B)=k5_relat_1(D, B)) )  => r1_funct_7(C, D, A)) ) ) ) ) ) ) ).
fof(t135_funct_7, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (k9_xtuple_0(C)=k9_xtuple_0(D) &  (r1_tarski(B, k9_xtuple_0(C)) &  (r1_xboole_0(A, B) & r1_funct_7(C, D, A)) ) )  => k5_relat_1(C, B)=k5_relat_1(D, B)) ) ) ) ) ) ) ).
fof(t136_funct_7, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, C) &  (v1_funct_1(D) & v1_partfun1(D, C)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, C) &  (v1_funct_1(E) & v1_partfun1(E, C)) ) )  =>  ( (r1_tarski(C, k2_xboole_0(A, B)) & k5_relat_1(D, B)=k5_relat_1(E, B))  => r1_funct_7(D, E, A)) ) ) ) ) ) ) ) ).
fof(t137_funct_7, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, C) &  (v1_funct_1(D) & v1_partfun1(D, C)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, C) &  (v1_funct_1(E) & v1_partfun1(E, C)) ) )  =>  ( (r1_tarski(B, C) &  (r1_xboole_0(A, B) & r1_funct_7(D, E, A)) )  => k5_relat_1(D, B)=k5_relat_1(E, B)) ) ) ) ) ) ) ) ).
fof(t138_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (! [D] :  (r1_tarski(A, B) =>  (r2_hidden(C, k9_xtuple_0(A)) | r1_tarski(A, k1_funct_7(B, C, D))) ) ) ) ) ) ) ) ).
fof(t139_funct_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (! [F] : k1_funct_4(B, k6_funct_4(C, D, E, F))=k1_funct_7(k1_funct_7(B, C, E), D, F)) ) ) ) ) ) ) ) ) ) ).
fof(s1_funct_7, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s1_funct_7) =>  (! [B] :  (m1_subset_1(B, f2_s1_funct_7) => r2_hidden(f4_s1_funct_7(A, B), f3_s1_funct_7)) ) ) )  =>  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(f1_s1_funct_7, f2_s1_funct_7), f3_s1_funct_7) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(f1_s1_funct_7, f2_s1_funct_7), f3_s1_funct_7)))) )  &  (! [B] :  (m1_subset_1(B, f1_s1_funct_7) =>  (! [C] :  (m1_subset_1(C, f2_s1_funct_7) => k2_binop_1(f1_s1_funct_7, f2_s1_funct_7, f3_s1_funct_7, A, B, C)=f4_s1_funct_7(B, C)) ) ) ) ) ) ) ).
fof(s5_funct_7, axiom,  ( (p1_s5_funct_7(k1_xboole_0) &  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_funcop_1(A) & v1_finseq_1(A)) ) )  =>  (p1_s5_funct_7(A) =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => p1_s5_funct_7(k7_finseq_1(A, k9_finseq_1(B)))) ) ) ) ) )  =>  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_funcop_1(A) & v1_finseq_1(A)) ) )  => p1_s5_funct_7(A)) ) ) ).
fof(dt_f1_s1_funct_7, axiom,  ~ (v1_xboole_0(f1_s1_funct_7)) ).
fof(dt_f2_s1_funct_7, axiom,  ~ (v1_xboole_0(f2_s1_funct_7)) ).
fof(dt_f3_s1_funct_7, axiom,  ~ (v1_xboole_0(f3_s1_funct_7)) ).
fof(dt_f2_s2_funct_7, axiom,  ~ (v1_xboole_0(f2_s2_funct_7)) ).
fof(dt_f2_s3_funct_7, axiom,  ~ (v1_xboole_0(f2_s3_funct_7)) ).
fof(dt_f2_s4_funct_7, axiom,  ~ (v1_xboole_0(f2_s4_funct_7)) ).
fof(dt_k1_funct_7, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k1_funct_7(A, B, C)) & v1_funct_1(k1_funct_7(A, B, C))) ) ) ).
fof(dt_k2_funct_7, axiom,  (! [A, B, C, D] :  ( (m1_finseq_1(B, A) &  (v7_ordinal1(C) & m1_subset_1(D, A)) )  => m2_finseq_1(k2_funct_7(A, B, C, D), A)) ) ).
fof(redefinition_k2_funct_7, axiom,  (! [A, B, C, D] :  ( (m1_finseq_1(B, A) &  (v7_ordinal1(C) & m1_subset_1(D, A)) )  => k2_funct_7(A, B, C, D)=k1_funct_7(B, C, D)) ) ).
fof(dt_k3_funct_7, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_funcop_1(B) & v1_finseq_1(B)) ) )  =>  (v1_relat_1(k3_funct_7(A, B)) & v1_funct_1(k3_funct_7(A, B))) ) ) ).
fof(dt_k4_funct_7, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_funcop_1(A) & v1_finseq_1(A)) ) )  =>  (v1_relat_1(k4_funct_7(A, B)) &  (v1_funct_1(k4_funct_7(A, B)) & v1_finseq_1(k4_funct_7(A, B))) ) ) ) ).
fof(dt_m1_funct_7, axiom,  (! [A, B] :  (! [C] :  (m1_funct_7(C, A, B) =>  (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) & v1_funct_7(C)) ) ) ) ) ) ).
fof(existence_m1_funct_7, axiom,  (! [A, B] :  (? [C] : m1_funct_7(C, A, B)) ) ).
fof(dt_k7_funct_7, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  & m1_funct_7(C, B, A))  =>  (v1_funct_1(k7_funct_7(A, B, C)) &  (v1_funct_2(k7_funct_7(A, B, C), B, A) & m1_subset_1(k7_funct_7(A, B, C), k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) ) ).
fof(redefinition_k7_funct_7, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  & m1_funct_7(C, B, A))  => k7_funct_7(A, B, C)=k3_funct_7(B, C)) ) ).
fof(dt_m2_funct_7, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  =>  (! [B] :  (m2_funct_7(B, A) =>  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) ) ) ) ).
fof(existence_m2_funct_7, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  =>  (? [B] : m2_funct_7(B, A)) ) ) ).
fof(dt_k8_funct_7, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v7_ordinal1(B))  => v1_relat_1(k8_funct_7(A, B))) ) ).
fof(dt_f2_s6_funct_7, axiom,  ~ (v1_xboole_0(f2_s6_funct_7)) ).
fof(dt_k11_funct_7, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  =>  (v1_funct_1(k11_funct_7(A, B, C)) &  (v1_funct_2(k11_funct_7(A, B, C), k4_ordinal1, A) & m1_subset_1(k11_funct_7(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) ) ) ) ).
fof(redefinition_k11_funct_7, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k11_funct_7(A, B, C)=k10_funct_7(B, C)) ) ).
fof(dt_k13_funct_7, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (m1_subset_1(C, A) & m1_subset_1(D, A)) ) )  =>  (v1_funct_1(k13_funct_7(A, B, C, D)) &  (v1_funct_2(k13_funct_7(A, B, C, D), k4_ordinal1, A) & m1_subset_1(k13_funct_7(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) ) ) ) ).
fof(redefinition_k13_funct_7, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (m1_subset_1(C, A) & m1_subset_1(D, A)) ) )  => k13_funct_7(A, B, C, D)=k12_funct_7(B, C, D)) ) ).
fof(dt_k14_funct_7, axiom,  (! [A, B, C, D, E] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  & m1_subset_1(E, B))  =>  (v1_funct_1(k14_funct_7(A, B, C, D, E)) &  (v1_funct_2(k14_funct_7(A, B, C, D, E), A, B) & m1_subset_1(k14_funct_7(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ).
fof(redefinition_k14_funct_7, axiom,  (! [A, B, C, D, E] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  & m1_subset_1(E, B))  => k14_funct_7(A, B, C, D, E)=k1_funct_7(C, D, E)) ) ).
fof(dt_f1_s7_funct_7, axiom,  ~ (v1_xboole_0(f1_s7_funct_7)) ).
fof(dt_f2_s7_funct_7, axiom, m1_subset_1(f2_s7_funct_7, f1_s7_funct_7)).
fof(dt_f3_s7_funct_7, axiom, m1_subset_1(f3_s7_funct_7, f1_s7_funct_7)).
fof(dt_f4_s7_funct_7, axiom,  (v1_relat_1(f4_s7_funct_7) &  (v5_relat_1(f4_s7_funct_7, f1_s7_funct_7) & v1_funct_1(f4_s7_funct_7)) ) ).
fof(s2_funct_7, axiom,  ( (v1_finset_1(f1_s2_funct_7) &  (! [A] :  (m1_subset_1(A, f2_s2_funct_7) =>  (! [B] :  (m1_subset_1(B, f2_s2_funct_7) =>  (f4_s2_funct_7(A)=f4_s2_funct_7(B) => A=B) ) ) ) ) )  => v1_finset_1(a_0_0_funct_7)) ).
fof(s3_funct_7, axiom,  ( ( (! [A] :  ~ ( (r2_tarski(A, f1_s3_funct_7) &  (! [B] :  (m1_subset_1(B, f2_s3_funct_7) =>  ~ (A=f3_s3_funct_7(B)) ) ) ) ) )  &  (! [A] :  (m1_subset_1(A, f2_s3_funct_7) =>  (! [B] :  (m1_subset_1(B, f2_s3_funct_7) =>  (f3_s3_funct_7(A)=f3_s3_funct_7(B) => A=B) ) ) ) ) )  => r2_wellord2(f1_s3_funct_7, a_0_1_funct_7)) ).
fof(s4_funct_7, axiom,  ( (r1_tarski(f1_s4_funct_7, f2_s4_funct_7) &  (! [A] :  (m1_subset_1(A, f2_s4_funct_7) =>  (! [B] :  (m1_subset_1(B, f2_s4_funct_7) =>  (f3_s4_funct_7(A)=f3_s4_funct_7(B) => A=B) ) ) ) ) )  => r2_wellord2(f1_s4_funct_7, a_0_2_funct_7)) ).
fof(s6_funct_7, axiom,  ( (r1_tarski(f1_s6_funct_7, f2_s6_funct_7) &  (! [A] :  (m1_subset_1(A, f2_s6_funct_7) =>  (! [B] :  (m1_subset_1(B, f2_s6_funct_7) =>  ( (r2_tarski(A, f1_s6_funct_7) &  (r2_tarski(B, f1_s6_funct_7) & f3_s6_funct_7(A)=f3_s6_funct_7(B)) )  => A=B) ) ) ) ) )  => r2_wellord2(f1_s6_funct_7, a_0_3_funct_7)) ).
fof(s7_funct_7, axiom,  ( (f6_s7_funct_7(f3_s7_funct_7)=f6_s7_funct_7(f2_s7_funct_7) & f3_s7_funct_7=k1_funct_1(f4_s7_funct_7, f5_s7_funct_7))  => a_0_4_funct_7=a_0_5_funct_7) ).
fof(fraenkel_a_0_0_funct_7, axiom,  (! [A] :  (r2_hidden(A, a_0_0_funct_7) <=>  (? [B] :  (m1_subset_1(B, f2_s2_funct_7) &  (A=f3_s2_funct_7(B) & r2_hidden(f4_s2_funct_7(B), f1_s2_funct_7)) ) ) ) ) ).
fof(fraenkel_a_0_1_funct_7, axiom,  (! [A] :  (r2_hidden(A, a_0_1_funct_7) <=>  (? [B] :  (m1_subset_1(B, f2_s3_funct_7) &  (A=B & r2_hidden(f3_s3_funct_7(B), f1_s3_funct_7)) ) ) ) ) ).
fof(fraenkel_a_0_2_funct_7, axiom,  (! [A] :  (r2_hidden(A, a_0_2_funct_7) <=>  (? [B] :  (m1_subset_1(B, f2_s4_funct_7) &  (A=f3_s4_funct_7(B) & r2_tarski(B, f1_s4_funct_7)) ) ) ) ) ).
fof(fraenkel_a_0_3_funct_7, axiom,  (! [A] :  (r2_hidden(A, a_0_3_funct_7) <=>  (? [B] :  (m1_subset_1(B, f2_s6_funct_7) &  (A=f3_s6_funct_7(B) & r2_tarski(B, f1_s6_funct_7)) ) ) ) ) ).
fof(fraenkel_a_0_4_funct_7, axiom,  (! [A] :  (r2_hidden(A, a_0_4_funct_7) <=>  (? [B] :  (m1_subset_1(B, f1_s7_funct_7) &  (A=f6_s7_funct_7(B) & r2_tarski(B, k2_relset_1(f1_s7_funct_7, f4_s7_funct_7))) ) ) ) ) ).
fof(fraenkel_a_0_5_funct_7, axiom,  (! [A] :  (r2_hidden(A, a_0_5_funct_7) <=>  (? [B] :  (m1_subset_1(B, f1_s7_funct_7) &  (A=f6_s7_funct_7(B) & r2_tarski(B, k2_relset_1(f1_s7_funct_7, k1_funct_7(f4_s7_funct_7, f5_s7_funct_7, f2_s7_funct_7)))) ) ) ) ) ).
fof(rc1_funct_8, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_numbers)) &  (v1_membered(A) & v1_funct_8(A)) ) ) ).
fof(rc2_funct_8, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) &  (v1_membered(A) &  (v2_membered(A) &  (v3_membered(A) & v1_funct_8(A)) ) ) ) ) ).
fof(cc1_funct_8, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v2_funct_8(A)) ) ) ).
fof(fc1_funct_8, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_funct_8(A))  => v1_funct_8(k9_xtuple_0(A))) ) ).
fof(cc2_funct_8, axiom,  (! [A, B] :  ( (v1_membered(A) & v1_membered(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( (v1_funct_1(C) &  (v2_funct_8(C) & v3_funct_8(C, A, B)) )  =>  (v1_funct_1(C) & v4_funct_8(C, A, B)) ) ) ) ) ) ).
fof(cc3_funct_8, axiom,  (! [A, B] :  ( (v1_membered(A) & v1_membered(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( (v1_funct_1(C) & v4_funct_8(C, A, B))  =>  (v1_funct_1(C) &  (v2_funct_8(C) & v3_funct_8(C, A, B)) ) ) ) ) ) ) ).
fof(cc4_funct_8, axiom,  (! [A, B] :  ( (v1_membered(A) & v1_membered(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( (v1_funct_1(C) &  (v2_funct_8(C) & v5_funct_8(C, A, B)) )  =>  (v1_funct_1(C) & v6_funct_8(C, A, B)) ) ) ) ) ) ).
fof(cc5_funct_8, axiom,  (! [A, B] :  ( (v1_membered(A) & v1_membered(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( (v1_funct_1(C) & v6_funct_8(C, A, B))  =>  (v1_funct_1(C) &  (v2_funct_8(C) & v5_funct_8(C, A, B)) ) ) ) ) ) ) ).
fof(fc2_funct_8, axiom,  (v1_funct_1(k16_sin_cos) &  (v1_funct_2(k16_sin_cos, k1_numbers, k1_numbers) & v6_funct_8(k16_sin_cos, k1_numbers, k1_numbers)) ) ).
fof(fc3_funct_8, axiom,  (v1_funct_1(k18_sin_cos) &  (v1_funct_2(k18_sin_cos, k1_numbers, k1_numbers) & v4_funct_8(k18_sin_cos, k1_numbers, k1_numbers)) ) ).
fof(fc4_funct_8, axiom,  (v1_funct_1(k1_sin_cos2) &  (v1_funct_2(k1_sin_cos2, k1_numbers, k1_numbers) & v6_funct_8(k1_sin_cos2, k1_numbers, k1_numbers)) ) ).
fof(fc5_funct_8, axiom,  (v1_funct_1(k3_sin_cos2) &  (v1_funct_2(k3_sin_cos2, k1_numbers, k1_numbers) & v4_funct_8(k3_sin_cos2, k1_numbers, k1_numbers)) ) ).
fof(d1_funct_8, axiom,  (! [A] :  (v1_funct_8(A) <=>  (! [B] :  (v1_xcmplx_0(B) =>  (r2_hidden(B, A) => r2_hidden(k4_xcmplx_0(B), A)) ) ) ) ) ).
fof(d2_funct_8, axiom,  (! [A] :  (v1_relat_1(A) =>  (v2_funct_8(A) <=> v1_funct_8(k9_xtuple_0(A))) ) ) ).
fof(d3_funct_8, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (v3_funct_8(C, A, B) <=>  (! [D] :  (v1_xreal_0(D) =>  ( (r2_hidden(D, k1_relset_1(A, C)) & r2_hidden(k4_xcmplx_0(D), k1_relset_1(A, C)))  => k1_funct_1(C, k4_xcmplx_0(D))=k1_funct_1(C, D)) ) ) ) ) ) ) ) ) ) ).
fof(d4_funct_8, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (v4_funct_8(C, A, B) <=>  (v2_funct_8(C) & v3_funct_8(C, A, B)) ) ) ) ) ) ) ) ).
fof(d5_funct_8, axiom,  (! [A] :  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_membered(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C))))  =>  (r1_funct_8(A, B, C, D) <=>  (r1_tarski(A, k1_relset_1(B, D)) & v4_funct_8(k5_relset_1(B, C, D, A), B, C)) ) ) ) ) ) ) ) ) ).
fof(d6_funct_8, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (v5_funct_8(C, A, B) <=>  (! [D] :  (v1_xreal_0(D) =>  ( (r2_hidden(D, k1_relset_1(A, C)) & r2_hidden(k4_xcmplx_0(D), k1_relset_1(A, C)))  => k1_funct_1(C, k4_xcmplx_0(D))=k4_xcmplx_0(k1_funct_1(C, D))) ) ) ) ) ) ) ) ) ) ).
fof(d7_funct_8, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (v6_funct_8(C, A, B) <=>  (v2_funct_8(C) & v5_funct_8(C, A, B)) ) ) ) ) ) ) ) ).
fof(d8_funct_8, axiom,  (! [A] :  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_membered(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C))))  =>  (r2_funct_8(A, B, C, D) <=>  (r1_tarski(A, k1_relset_1(B, D)) & v6_funct_8(k5_relset_1(B, C, D, A), B, C)) ) ) ) ) ) ) ) ) ).
fof(t1_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k2_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r2_funct_8(A, k1_numbers, k1_numbers, B) <=>  (r1_tarski(A, k1_relset_1(k1_numbers, B)) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k2_xcmplx_0(k1_funct_1(B, C), k1_funct_1(B, k4_xcmplx_0(C)))=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(t2_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k2_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_funct_8(A, k1_numbers, k1_numbers, B) <=>  (r1_tarski(A, k1_relset_1(k1_numbers, B)) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k6_xcmplx_0(k1_funct_1(B, C), k1_funct_1(B, k4_xcmplx_0(C)))=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(t3_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k2_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_funct_8(A, k1_numbers, k1_numbers, B) &  (! [C] :  (v1_xreal_0(C) =>  ~ ( (r2_hidden(C, A) & k1_funct_1(B, C)=k5_numbers) ) ) ) )  =>  (r1_tarski(A, k1_relset_1(k1_numbers, B)) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k7_xcmplx_0(k1_funct_1(B, C), k1_funct_1(B, k4_xcmplx_0(C)))=k4_xcmplx_0(1)) ) ) ) ) ) ) ) ) ).
fof(t4_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k2_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, B)) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k7_xcmplx_0(k1_funct_1(B, C), k1_funct_1(B, k4_xcmplx_0(C)))=k4_xcmplx_0(1)) ) ) )  => r2_funct_8(A, k1_numbers, k1_numbers, B)) ) ) ) ) ).
fof(t5_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k2_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_funct_8(A, k1_numbers, k1_numbers, B) &  (! [C] :  (v1_xreal_0(C) =>  ~ ( (r2_hidden(C, A) & k1_funct_1(B, C)=k5_numbers) ) ) ) )  =>  (r1_tarski(A, k1_relset_1(k1_numbers, B)) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k7_xcmplx_0(k1_funct_1(B, C), k1_funct_1(B, k4_xcmplx_0(C)))=1) ) ) ) ) ) ) ) ) ).
fof(t6_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k2_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, B)) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k7_xcmplx_0(k1_funct_1(B, C), k1_funct_1(B, k4_xcmplx_0(C)))=1) ) ) )  => r1_funct_8(A, k1_numbers, k1_numbers, B)) ) ) ) ) ).
fof(t7_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k2_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_funct_8(A, k1_numbers, k1_numbers, B) & r2_funct_8(A, k1_numbers, k1_numbers, B))  =>  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(B, C)=k5_numbers) ) ) ) ) ) ) ) ).
fof(t8_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k2_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_funct_8(A, k1_numbers, k1_numbers, B) =>  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(B, C)=k1_funct_1(B, k9_complex1(C))) ) ) ) ) ) ) ) ).
fof(t9_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k2_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, B)) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(B, C)=k1_funct_1(B, k9_complex1(C))) ) ) )  => r1_funct_8(A, k1_numbers, k1_numbers, B)) ) ) ) ) ).
fof(t10_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k2_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_funct_8(A, k1_numbers, k1_numbers, B) & r2_funct_8(A, k1_numbers, k1_numbers, C))  => r2_funct_8(A, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C))) ) ) ) ) ) ) ).
fof(t11_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k2_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_funct_8(A, k1_numbers, k1_numbers, B) & r1_funct_8(A, k1_numbers, k1_numbers, C))  => r1_funct_8(A, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C))) ) ) ) ) ) ) ).
fof(t12_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k2_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_funct_8(A, k1_numbers, k1_numbers, B) & r2_funct_8(A, k1_numbers, k1_numbers, C))  => r2_funct_8(A, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C))) ) ) ) ) ) ) ).
fof(t13_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k2_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_funct_8(A, k1_numbers, k1_numbers, B) & r1_funct_8(A, k1_numbers, k1_numbers, C))  => r1_funct_8(A, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C))) ) ) ) ) ) ) ).
fof(t14_funct_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_8(B) & m1_subset_1(B, k1_zfmisc_1(k2_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r2_funct_8(B, k1_numbers, k1_numbers, C) => r2_funct_8(B, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, C, A))) ) ) ) ) ) ) ).
fof(t15_funct_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_8(B) & m1_subset_1(B, k1_zfmisc_1(k2_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_funct_8(B, k1_numbers, k1_numbers, C) => r1_funct_8(B, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, C, A))) ) ) ) ) ) ) ).
fof(t16_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k2_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r2_funct_8(A, k1_numbers, k1_numbers, B) => r2_funct_8(A, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, B))) ) ) ) ) ).
fof(t17_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k2_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_funct_8(A, k1_numbers, k1_numbers, B) => r1_funct_8(A, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, B))) ) ) ) ) ).
fof(t18_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k2_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r2_funct_8(A, k1_numbers, k1_numbers, B) => r2_funct_8(A, k1_numbers, k1_numbers, k37_valued_1(k1_numbers, k1_numbers, B))) ) ) ) ) ).
fof(t19_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k2_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_funct_8(A, k1_numbers, k1_numbers, B) => r1_funct_8(A, k1_numbers, k1_numbers, k37_valued_1(k1_numbers, k1_numbers, B))) ) ) ) ) ).
fof(t20_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k2_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r2_funct_8(A, k1_numbers, k1_numbers, B) => r1_funct_8(A, k1_numbers, k1_numbers, k55_valued_1(k1_numbers, k1_numbers, B))) ) ) ) ) ).
fof(t21_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k2_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_funct_8(A, k1_numbers, k1_numbers, B) => r1_funct_8(A, k1_numbers, k1_numbers, k55_valued_1(k1_numbers, k1_numbers, B))) ) ) ) ) ).
fof(t22_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k2_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_funct_8(A, k1_numbers, k1_numbers, B) & r2_funct_8(A, k1_numbers, k1_numbers, C))  => r1_funct_8(A, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C))) ) ) ) ) ) ) ).
fof(t23_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k2_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_funct_8(A, k1_numbers, k1_numbers, B) & r1_funct_8(A, k1_numbers, k1_numbers, C))  => r1_funct_8(A, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C))) ) ) ) ) ) ) ).
fof(t24_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k2_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_funct_8(A, k1_numbers, k1_numbers, B) & r2_funct_8(A, k1_numbers, k1_numbers, C))  => r2_funct_8(A, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C))) ) ) ) ) ) ) ).
fof(t25_funct_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_8(B) & m1_subset_1(B, k1_zfmisc_1(k2_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_funct_8(B, k1_numbers, k1_numbers, C) => r1_funct_8(B, k1_numbers, k1_numbers, k9_valued_1(k1_numbers, k1_numbers, C, A))) ) ) ) ) ) ) ).
fof(t26_funct_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_8(B) & m1_subset_1(B, k1_zfmisc_1(k2_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_funct_8(B, k1_numbers, k1_numbers, C) => r1_funct_8(B, k1_numbers, k1_numbers, k15_valued_1(k1_numbers, k1_numbers, C, A))) ) ) ) ) ) ) ).
fof(t27_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k2_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_funct_8(A, k1_numbers, k1_numbers, B) => r1_funct_8(A, k1_numbers, k1_numbers, k41_valued_1(k1_numbers, k1_numbers, B))) ) ) ) ) ).
fof(t28_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k2_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r2_funct_8(A, k1_numbers, k1_numbers, B) => r1_funct_8(A, k1_numbers, k1_numbers, k41_valued_1(k1_numbers, k1_numbers, B))) ) ) ) ) ).
fof(t29_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k2_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_funct_8(A, k1_numbers, k1_numbers, B) & r2_funct_8(A, k1_numbers, k1_numbers, C))  => r1_funct_8(A, k1_numbers, k1_numbers, k52_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C))) ) ) ) ) ) ) ).
fof(t30_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k2_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_funct_8(A, k1_numbers, k1_numbers, B) & r1_funct_8(A, k1_numbers, k1_numbers, C))  => r1_funct_8(A, k1_numbers, k1_numbers, k52_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C))) ) ) ) ) ) ) ).
fof(t31_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k2_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_funct_8(A, k1_numbers, k1_numbers, B) & r1_funct_8(A, k1_numbers, k1_numbers, C))  => r2_funct_8(A, k1_numbers, k1_numbers, k52_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C))) ) ) ) ) ) ) ).
fof(t32_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k2_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_funct_8(A, k1_numbers, k1_numbers, B) & r2_funct_8(A, k1_numbers, k1_numbers, C))  => r2_funct_8(A, k1_numbers, k1_numbers, k52_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C))) ) ) ) ) ) ) ).
fof(t33_funct_8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v6_funct_8(A, k1_numbers, k1_numbers) => v6_funct_8(k32_valued_1(k1_numbers, k1_numbers, A), k1_numbers, k1_numbers)) ) ) ).
fof(t34_funct_8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v4_funct_8(A, k1_numbers, k1_numbers) => v4_funct_8(k32_valued_1(k1_numbers, k1_numbers, A), k1_numbers, k1_numbers)) ) ) ).
fof(t35_funct_8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v6_funct_8(A, k1_numbers, k1_numbers) => v6_funct_8(k37_valued_1(k1_numbers, k1_numbers, A), k1_numbers, k1_numbers)) ) ) ).
fof(t36_funct_8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v4_funct_8(A, k1_numbers, k1_numbers) => v4_funct_8(k37_valued_1(k1_numbers, k1_numbers, A), k1_numbers, k1_numbers)) ) ) ).
fof(t37_funct_8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v6_funct_8(A, k1_numbers, k1_numbers) => v4_funct_8(k55_valued_1(k1_numbers, k1_numbers, A), k1_numbers, k1_numbers)) ) ) ).
fof(t38_funct_8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v4_funct_8(A, k1_numbers, k1_numbers) => v4_funct_8(k55_valued_1(k1_numbers, k1_numbers, A), k1_numbers, k1_numbers)) ) ) ).
fof(t39_funct_8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v6_funct_8(A, k1_numbers, k1_numbers) => v4_funct_8(k41_valued_1(k1_numbers, k1_numbers, A), k1_numbers, k1_numbers)) ) ) ).
fof(t40_funct_8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v4_funct_8(A, k1_numbers, k1_numbers) => v4_funct_8(k41_valued_1(k1_numbers, k1_numbers, A), k1_numbers, k1_numbers)) ) ) ).
fof(t41_funct_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v4_funct_8(B, k1_numbers, k1_numbers) => v4_funct_8(k9_valued_1(k1_numbers, k1_numbers, B, A), k1_numbers, k1_numbers)) ) ) ) ) ).
fof(t42_funct_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v4_funct_8(B, k1_numbers, k1_numbers) => v4_funct_8(k15_valued_1(k1_numbers, k1_numbers, B, A), k1_numbers, k1_numbers)) ) ) ) ) ).
fof(t43_funct_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v6_funct_8(B, k1_numbers, k1_numbers) => v6_funct_8(k26_valued_1(k1_numbers, k1_numbers, B, A), k1_numbers, k1_numbers)) ) ) ) ) ).
fof(t44_funct_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v4_funct_8(B, k1_numbers, k1_numbers) => v4_funct_8(k26_valued_1(k1_numbers, k1_numbers, B, A), k1_numbers, k1_numbers)) ) ) ) ) ).
fof(t45_funct_8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v6_funct_8(A, k1_numbers, k1_numbers) &  (v6_funct_8(B, k1_numbers, k1_numbers) & v1_funct_8(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k1_relset_1(k1_numbers, B)))) )  => v6_funct_8(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), k1_numbers, k1_numbers)) ) ) ) ) ).
fof(t46_funct_8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v4_funct_8(A, k1_numbers, k1_numbers) &  (v4_funct_8(B, k1_numbers, k1_numbers) & v1_funct_8(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k1_relset_1(k1_numbers, B)))) )  => v4_funct_8(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), k1_numbers, k1_numbers)) ) ) ) ) ).
fof(t47_funct_8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v6_funct_8(A, k1_numbers, k1_numbers) &  (v6_funct_8(B, k1_numbers, k1_numbers) & v1_funct_8(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k1_relset_1(k1_numbers, B)))) )  => v6_funct_8(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), k1_numbers, k1_numbers)) ) ) ) ) ).
fof(t48_funct_8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v4_funct_8(A, k1_numbers, k1_numbers) &  (v4_funct_8(B, k1_numbers, k1_numbers) & v1_funct_8(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k1_relset_1(k1_numbers, B)))) )  => v4_funct_8(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), k1_numbers, k1_numbers)) ) ) ) ) ).
fof(t49_funct_8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v6_funct_8(A, k1_numbers, k1_numbers) &  (v6_funct_8(B, k1_numbers, k1_numbers) & v1_funct_8(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k1_relset_1(k1_numbers, B)))) )  => v4_funct_8(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), k1_numbers, k1_numbers)) ) ) ) ) ).
fof(t50_funct_8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v4_funct_8(A, k1_numbers, k1_numbers) &  (v4_funct_8(B, k1_numbers, k1_numbers) & v1_funct_8(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k1_relset_1(k1_numbers, B)))) )  => v4_funct_8(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), k1_numbers, k1_numbers)) ) ) ) ) ).
fof(t51_funct_8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v4_funct_8(A, k1_numbers, k1_numbers) &  (v6_funct_8(B, k1_numbers, k1_numbers) & v1_funct_8(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k1_relset_1(k1_numbers, B)))) )  => v6_funct_8(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), k1_numbers, k1_numbers)) ) ) ) ) ).
fof(t52_funct_8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v6_funct_8(A, k1_numbers, k1_numbers) &  (v6_funct_8(B, k1_numbers, k1_numbers) & v1_funct_8(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k1_relset_1(k1_numbers, B)))) )  => v4_funct_8(k52_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), k1_numbers, k1_numbers)) ) ) ) ) ).
fof(t53_funct_8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v4_funct_8(A, k1_numbers, k1_numbers) &  (v4_funct_8(B, k1_numbers, k1_numbers) & v1_funct_8(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k1_relset_1(k1_numbers, B)))) )  => v4_funct_8(k52_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), k1_numbers, k1_numbers)) ) ) ) ) ).
fof(t54_funct_8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v6_funct_8(A, k1_numbers, k1_numbers) &  (v4_funct_8(B, k1_numbers, k1_numbers) & v1_funct_8(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k1_relset_1(k1_numbers, B)))) )  => v6_funct_8(k52_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), k1_numbers, k1_numbers)) ) ) ) ) ).
fof(t55_funct_8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v4_funct_8(A, k1_numbers, k1_numbers) &  (v6_funct_8(B, k1_numbers, k1_numbers) & v1_funct_8(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k1_relset_1(k1_numbers, B)))) )  => v6_funct_8(k52_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), k1_numbers, k1_numbers)) ) ) ) ) ).
fof(d9_funct_8, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (A=k1_funct_8 <=>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(A, B)=k1_absvalue(B)) ) ) ) ) ).
fof(t56_funct_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k1_funct_1(k1_funct_8, A)=1) ) ) ).
fof(t57_funct_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (r1_xxreal_0(k5_numbers, A))  => k1_funct_1(k1_funct_8, A)=k4_xcmplx_0(1)) ) ) ).
fof(t58_funct_8, axiom, k1_funct_1(k1_funct_8, k5_numbers)=k5_numbers).
fof(t59_funct_8, axiom,  (! [A] :  (v1_xreal_0(A) => k1_funct_1(k1_funct_8, k4_xcmplx_0(A))=k4_xcmplx_0(k1_funct_1(k1_funct_8, A))) ) ).
fof(t60_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  => r2_funct_8(A, k1_numbers, k1_numbers, k1_funct_8)) ) ).
fof(t61_funct_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r1_xxreal_0(k5_numbers, A) => k1_funct_1(k2_euclid, A)=A) ) ) ).
fof(t62_funct_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (r1_xxreal_0(k5_numbers, A))  => k1_funct_1(k2_euclid, A)=k4_xcmplx_0(A)) ) ) ).
fof(t63_funct_8, axiom,  (! [A] :  (v1_xreal_0(A) => k1_funct_1(k2_euclid, k4_xcmplx_0(A))=k1_funct_1(k2_euclid, A)) ) ).
fof(t64_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  => r1_funct_8(A, k1_numbers, k1_numbers, k2_euclid)) ) ).
fof(t65_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  => r2_funct_8(A, k1_numbers, k1_numbers, k16_sin_cos)) ) ).
fof(t66_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  => r1_funct_8(A, k1_numbers, k1_numbers, k18_sin_cos)) ) ).
fof(t67_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  => r2_funct_8(A, k1_numbers, k1_numbers, k1_sin_cos2)) ) ).
fof(t68_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  => r1_funct_8(A, k1_numbers, k1_numbers, k3_sin_cos2)) ) ).
fof(t69_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k2_numbers)))  =>  (r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 2)), k7_xcmplx_0(k28_sin_cos, 2))) => r2_funct_8(A, k1_numbers, k1_numbers, k26_sin_cos)) ) ) ).
fof(t70_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k2_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k26_sin_cos)) => r2_funct_8(A, k1_numbers, k1_numbers, k26_sin_cos)) ) ) ).
fof(t71_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k2_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k27_sin_cos)) => r2_funct_8(A, k1_numbers, k1_numbers, k27_sin_cos)) ) ) ).
fof(t72_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k2_numbers)))  =>  (r1_tarski(A, k1_rcomp_1(k4_xcmplx_0(1), 1)) => r2_funct_8(A, k1_numbers, k1_numbers, k1_sin_cos9)) ) ) ).
fof(t73_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  => r1_funct_8(A, k1_numbers, k1_numbers, k55_valued_1(k1_numbers, k1_numbers, k16_sin_cos))) ) ).
fof(t74_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  => r1_funct_8(A, k1_numbers, k1_numbers, k55_valued_1(k1_numbers, k1_numbers, k18_sin_cos))) ) ).
fof(t75_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  => r2_funct_8(A, k1_numbers, k1_numbers, k37_valued_1(k1_numbers, k1_numbers, k16_sin_cos))) ) ).
fof(t76_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  => r1_funct_8(A, k1_numbers, k1_numbers, k37_valued_1(k1_numbers, k1_numbers, k18_sin_cos))) ) ).
fof(t77_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  => r2_funct_8(A, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k16_sin_cos))) ) ).
fof(t78_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  => r1_funct_8(A, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k18_sin_cos))) ) ).
fof(t79_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  => r1_funct_8(A, k1_numbers, k1_numbers, k41_valued_1(k1_numbers, k1_numbers, k16_sin_cos))) ) ).
fof(t80_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  => r1_funct_8(A, k1_numbers, k1_numbers, k41_valued_1(k1_numbers, k1_numbers, k18_sin_cos))) ) ).
fof(t81_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_fdiff_9)) => r1_funct_8(A, k1_numbers, k1_numbers, k1_fdiff_9)) ) ) ).
fof(t82_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (! [B] :  (v1_xreal_0(B) =>  ~ ( (r2_hidden(B, A) & k1_funct_1(k18_sin_cos, B)=k5_numbers) ) ) )  => r1_funct_8(A, k1_numbers, k1_numbers, k1_fdiff_9)) ) ) ).
fof(t83_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k2_fdiff_9)) => r2_funct_8(A, k1_numbers, k1_numbers, k2_fdiff_9)) ) ) ).
fof(t84_funct_8, axiom,  (! [A] :  ( (v1_funct_8(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (! [B] :  (v1_xreal_0(B) =>  ~ ( (r2_hidden(B, A) & k1_funct_1(k16_sin_cos, B)=k5_numbers) ) ) )  => r2_funct_8(A, k1_numbers, k1_numbers, k2_fdiff_9)) ) ) ).
fof(dt_k1_funct_8, axiom,  (v1_funct_1(k1_funct_8) &  (v1_funct_2(k1_funct_8, k1_numbers, k1_numbers) & m1_subset_1(k1_funct_8, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ).
fof(rc1_funct_9, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) & v2_funct_9(A)) ) ) ) ).
fof(rc2_funct_9, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))) &  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) & v2_funct_9(A)) ) ) ) ) ) ) ).
fof(fc1_funct_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_xreal_0(A))  => v1_funct_9(k2_funcop_1(k1_numbers, A), A)) ) ).
fof(rc3_funct_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_xreal_0(A))  =>  (? [B] :  (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_valued_0(B) & v1_funct_9(B, A)) ) ) ) ) ) ).
fof(fc2_funct_9, axiom,  (! [A, B, C] :  ( ( ( ~ (v8_ordinal1(A))  & v1_xreal_0(A))  &  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_valued_0(B) & v1_funct_9(B, A)) ) )  &  (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_valued_0(C) & v1_funct_9(C, A)) ) ) ) )  =>  (v1_relat_1(k1_valued_1(B, C)) &  (v1_funct_1(k1_valued_1(B, C)) & v1_funct_9(k1_valued_1(B, C), A)) ) ) ) ).
fof(fc3_funct_9, axiom,  (! [A, B, C] :  ( ( ( ~ (v8_ordinal1(A))  & v1_xreal_0(A))  &  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_valued_0(B) & v1_funct_9(B, A)) ) )  &  (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_valued_0(C) & v1_funct_9(C, A)) ) ) ) )  =>  (v1_relat_1(k45_valued_1(B, C)) &  (v1_funct_1(k45_valued_1(B, C)) & v1_funct_9(k45_valued_1(B, C), A)) ) ) ) ).
fof(fc4_funct_9, axiom,  (! [A, B, C] :  ( ( ( ~ (v8_ordinal1(A))  & v1_xreal_0(A))  &  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_valued_0(B) & v1_funct_9(B, A)) ) )  &  (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_valued_0(C) & v1_funct_9(C, A)) ) ) ) )  =>  (v1_relat_1(k18_valued_1(B, C)) &  (v1_funct_1(k18_valued_1(B, C)) & v1_funct_9(k18_valued_1(B, C), A)) ) ) ) ).
fof(fc5_funct_9, axiom,  (! [A, B, C] :  ( ( ( ~ (v8_ordinal1(A))  & v1_xreal_0(A))  &  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_valued_0(B) & v1_funct_9(B, A)) ) )  &  (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_valued_0(C) & v1_funct_9(C, A)) ) ) ) )  =>  (v1_relat_1(k50_valued_1(B, C)) &  (v1_funct_1(k50_valued_1(B, C)) & v1_funct_9(k50_valued_1(B, C), A)) ) ) ) ).
fof(fc6_funct_9, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) & v2_funct_9(A)) ) )  =>  (v1_relat_1(k30_valued_1(A)) &  (v1_funct_1(k30_valued_1(A)) &  (v1_valued_0(k30_valued_1(A)) & v2_funct_9(k30_valued_1(A))) ) ) ) ) ).
fof(fc7_funct_9, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) & v2_funct_9(A)) ) )  & v1_xreal_0(B))  =>  (v1_relat_1(k24_valued_1(A, B)) &  (v1_funct_1(k24_valued_1(A, B)) & v2_funct_9(k24_valued_1(A, B))) ) ) ) ).
fof(fc8_funct_9, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) & v2_funct_9(A)) ) )  & v1_xreal_0(B))  =>  (v1_relat_1(k7_valued_1(A, B)) &  (v1_funct_1(k7_valued_1(A, B)) & v2_funct_9(k7_valued_1(A, B))) ) ) ) ).
fof(fc9_funct_9, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) & v2_funct_9(A)) ) )  & v1_xreal_0(B))  =>  (v1_relat_1(k13_valued_1(A, B)) &  (v1_funct_1(k13_valued_1(A, B)) & v2_funct_9(k13_valued_1(A, B))) ) ) ) ).
fof(fc10_funct_9, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) & v2_funct_9(A)) ) )  =>  (v1_relat_1(k54_valued_1(A)) &  (v1_funct_1(k54_valued_1(A)) &  (v3_valued_0(k54_valued_1(A)) & v2_funct_9(k54_valued_1(A))) ) ) ) ) ).
fof(fc11_funct_9, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) & v2_funct_9(A)) ) )  =>  (v1_relat_1(k35_valued_1(A)) &  (v1_funct_1(k35_valued_1(A)) &  (v1_valued_0(k35_valued_1(A)) & v2_funct_9(k35_valued_1(A))) ) ) ) ) ).
fof(fc12_funct_9, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) & v2_funct_9(A)) ) )  =>  (v1_relat_1(k39_valued_1(A)) &  (v1_funct_1(k39_valued_1(A)) & v2_funct_9(k39_valued_1(A))) ) ) ) ).
fof(fc13_funct_9, axiom,  (v1_funct_1(k16_sin_cos) &  (v1_funct_2(k16_sin_cos, k1_numbers, k1_numbers) & v2_funct_9(k16_sin_cos)) ) ).
fof(fc14_funct_9, axiom,  (v1_funct_1(k18_sin_cos) &  (v1_funct_2(k18_sin_cos, k1_numbers, k1_numbers) & v2_funct_9(k18_sin_cos)) ) ).
fof(fc15_funct_9, axiom,  (v1_funct_1(k2_fdiff_9) & v2_funct_9(k2_fdiff_9)) ).
fof(fc16_funct_9, axiom,  (v1_funct_1(k1_fdiff_9) & v2_funct_9(k1_fdiff_9)) ).
fof(fc17_funct_9, axiom,  (v1_funct_1(k26_sin_cos) & v2_funct_9(k26_sin_cos)) ).
fof(fc18_funct_9, axiom,  (v1_funct_1(k27_sin_cos) & v2_funct_9(k27_sin_cos)) ).
fof(fc19_funct_9, axiom,  (! [A] :  (v1_xreal_0(A) => v2_funct_9(k2_funcop_1(k1_numbers, A))) ) ).
fof(rc4_funct_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_xreal_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))) &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_funct_2(B, k1_numbers, k1_numbers) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) & v1_funct_9(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(d1_funct_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (v1_funct_9(B, A) <=>  ( ~ (A=k5_numbers)  &  (! [C] :  (v1_xreal_0(C) =>  ( (r2_hidden(C, k9_xtuple_0(B)) => r2_tarski(k2_xcmplx_0(C, A), k9_xtuple_0(B)))  &  ( (r2_tarski(k2_xcmplx_0(C, A), k9_xtuple_0(B)) => r2_hidden(C, k9_xtuple_0(B)))  &  (r2_hidden(C, k9_xtuple_0(B)) => k1_funct_1(B, C)=k1_funct_1(B, k2_xcmplx_0(C, A))) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_funct_9, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v2_funct_9(A) <=>  (? [B] :  (v1_xreal_0(B) & v1_funct_9(A, B)) ) ) ) ) ).
fof(t1_funct_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_valued_0(B)) )  =>  (v1_funct_9(B, A) <=>  ( ~ (A=k5_numbers)  &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, k9_xtuple_0(B)) =>  (r2_tarski(k2_xcmplx_0(C, A), k9_xtuple_0(B)) &  (r2_tarski(k6_xcmplx_0(C, A), k9_xtuple_0(B)) & k1_funct_1(B, C)=k1_funct_1(B, k2_xcmplx_0(C, A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_funct_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_valued_0(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v3_valued_0(C)) )  =>  ( (v1_funct_9(B, A) & v1_funct_9(C, A))  => v1_funct_9(k1_valued_1(B, C), A)) ) ) ) ) ) ) ).
fof(t3_funct_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_valued_0(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v3_valued_0(C)) )  =>  ( (v1_funct_9(B, A) & v1_funct_9(C, A))  => v1_funct_9(k45_valued_1(B, C), A)) ) ) ) ) ) ) ).
fof(t4_funct_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_valued_0(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v3_valued_0(C)) )  =>  ( (v1_funct_9(B, A) & v1_funct_9(C, A))  => v1_funct_9(k18_valued_1(B, C), A)) ) ) ) ) ) ) ).
fof(t5_funct_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_valued_0(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v3_valued_0(C)) )  =>  ( (v1_funct_9(B, A) & v1_funct_9(C, A))  => v1_funct_9(k50_valued_1(B, C), A)) ) ) ) ) ) ) ).
fof(t6_funct_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_valued_0(B)) )  =>  (v1_funct_9(B, A) => v1_funct_9(k30_valued_1(B), A)) ) ) ) ) ).
fof(t7_funct_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v3_valued_0(C)) )  =>  (v1_funct_9(C, A) => v1_funct_9(k24_valued_1(C, B), A)) ) ) ) ) ) ) ).
fof(t8_funct_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v3_valued_0(C)) )  =>  (v1_funct_9(C, A) => v1_funct_9(k7_valued_1(C, B), A)) ) ) ) ) ) ) ).
fof(t9_funct_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v3_valued_0(C)) )  =>  (v1_funct_9(C, A) => v1_funct_9(k13_valued_1(C, B), A)) ) ) ) ) ) ) ).
fof(t10_funct_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_valued_0(B)) )  =>  (v1_funct_9(B, A) => v1_funct_9(k54_valued_1(B), A)) ) ) ) ) ).
fof(t11_funct_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_valued_0(B)) )  =>  (v1_funct_9(B, A) => v1_funct_9(k35_valued_1(B), A)) ) ) ) ) ).
fof(t12_funct_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_valued_0(B)) )  =>  (v1_funct_9(B, A) => v1_funct_9(k39_valued_1(B), A)) ) ) ) ) ).
fof(t13_funct_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_valued_0(B)) )  =>  (v1_funct_9(B, A) =>  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, k9_xtuple_0(B)) => k1_funct_1(B, C)=k1_funct_1(B, k6_xcmplx_0(C, A))) ) ) ) ) ) ) ) ).
fof(t14_funct_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_valued_0(B)) )  =>  (v1_funct_9(B, A) => v1_funct_9(B, k4_xcmplx_0(A))) ) ) ) ) ).
fof(t15_funct_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v3_valued_0(C)) )  =>  ( (v1_funct_9(C, A) & v1_funct_9(C, B))  =>  (k2_xcmplx_0(A, B)=k5_numbers | v1_funct_9(C, k2_xcmplx_0(A, B))) ) ) ) ) ) ) ) ).
fof(t16_funct_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v3_valued_0(C)) )  =>  ( (v1_funct_9(C, A) & v1_funct_9(C, B))  =>  (k6_xcmplx_0(A, B)=k5_numbers | v1_funct_9(C, k6_xcmplx_0(A, B))) ) ) ) ) ) ) ) ).
fof(t17_funct_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_valued_0(B)) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, k9_xtuple_0(B)) =>  (r2_tarski(k2_xcmplx_0(C, A), k9_xtuple_0(B)) &  (r2_tarski(k6_xcmplx_0(C, A), k9_xtuple_0(B)) & k1_funct_1(B, k2_xcmplx_0(C, A))=k1_funct_1(B, k6_xcmplx_0(C, A))) ) ) ) )  =>  (A=k5_numbers |  (v1_funct_9(B, k3_xcmplx_0(2, A)) & v2_funct_9(B)) ) ) ) ) ) ) ).
fof(t18_funct_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v3_valued_0(C)) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, k9_xtuple_0(C)) =>  (r2_tarski(k2_xcmplx_0(D, A), k9_xtuple_0(C)) &  (r2_tarski(k6_xcmplx_0(D, A), k9_xtuple_0(C)) &  (r2_tarski(k2_xcmplx_0(D, B), k9_xtuple_0(C)) &  (r2_tarski(k6_xcmplx_0(D, B), k9_xtuple_0(C)) & k1_funct_1(C, k2_xcmplx_0(D, A))=k1_funct_1(C, k6_xcmplx_0(D, B))) ) ) ) ) ) )  =>  (k2_xcmplx_0(A, B)=k5_numbers |  (v1_funct_9(C, k2_xcmplx_0(A, B)) & v2_funct_9(C)) ) ) ) ) ) ) ) ) ).
fof(t19_funct_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v3_valued_0(C)) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, k9_xtuple_0(C)) =>  (r2_tarski(k2_xcmplx_0(D, A), k9_xtuple_0(C)) &  (r2_tarski(k6_xcmplx_0(D, A), k9_xtuple_0(C)) &  (r2_tarski(k2_xcmplx_0(D, B), k9_xtuple_0(C)) &  (r2_tarski(k6_xcmplx_0(D, B), k9_xtuple_0(C)) & k1_funct_1(C, k2_xcmplx_0(D, A))=k1_funct_1(C, k2_xcmplx_0(D, B))) ) ) ) ) ) )  =>  (k6_xcmplx_0(A, B)=k5_numbers |  (v1_funct_9(C, k6_xcmplx_0(A, B)) & v2_funct_9(C)) ) ) ) ) ) ) ) ) ).
fof(t20_funct_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_valued_0(B)) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, k9_xtuple_0(B)) =>  (r2_tarski(k2_xcmplx_0(C, A), k9_xtuple_0(B)) &  (r2_tarski(k6_xcmplx_0(C, A), k9_xtuple_0(B)) & k1_funct_1(B, k2_xcmplx_0(C, A))=k5_xcmplx_0(k1_funct_1(B, C))) ) ) ) )  =>  (A=k5_numbers |  (v1_funct_9(B, k3_xcmplx_0(2, A)) & v2_funct_9(B)) ) ) ) ) ) ) ).
fof(t21_funct_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_int_1(A))  => v1_funct_9(k16_sin_cos, k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), A))) ) ).
fof(t22_funct_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_int_1(A))  => v1_funct_9(k18_sin_cos, k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), A))) ) ).
fof(t23_funct_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_int_1(A))  => v1_funct_9(k1_fdiff_9, k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), A))) ) ).
fof(t24_funct_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_int_1(A))  => v1_funct_9(k2_fdiff_9, k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), A))) ) ).
fof(t25_funct_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_int_1(A))  => v1_funct_9(k26_sin_cos, k3_xcmplx_0(k28_sin_cos, A))) ) ).
fof(t26_funct_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_int_1(A))  => v1_funct_9(k27_sin_cos, k3_xcmplx_0(k28_sin_cos, A))) ) ).
fof(t27_funct_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_int_1(A))  => v1_funct_9(k55_valued_1(k1_numbers, k1_numbers, k16_sin_cos), k3_xcmplx_0(k28_sin_cos, A))) ) ).
fof(t28_funct_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_int_1(A))  => v1_funct_9(k55_valued_1(k1_numbers, k1_numbers, k18_sin_cos), k3_xcmplx_0(k28_sin_cos, A))) ) ).
fof(t29_funct_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_int_1(A))  => v1_funct_9(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k55_valued_1(k1_numbers, k1_numbers, k16_sin_cos), k55_valued_1(k1_numbers, k1_numbers, k18_sin_cos)), k3_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 2), A))) ) ).
fof(t30_funct_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_int_1(A))  => v1_funct_9(k41_valued_1(k1_numbers, k1_numbers, k16_sin_cos), k3_xcmplx_0(k28_sin_cos, A))) ) ).
fof(t31_funct_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_int_1(A))  => v1_funct_9(k41_valued_1(k1_numbers, k1_numbers, k18_sin_cos), k3_xcmplx_0(k28_sin_cos, A))) ) ).
fof(t32_funct_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_int_1(A))  => v1_funct_9(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), k3_xcmplx_0(k28_sin_cos, A))) ) ).
fof(t33_funct_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & v1_int_1(C))  => v1_funct_9(k9_valued_1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k16_sin_cos, A), B), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), C))) ) ) ) ) ) ).
fof(t34_funct_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & v1_int_1(C))  => v1_funct_9(k15_valued_1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k16_sin_cos, A), B), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), C))) ) ) ) ) ) ).
fof(t35_funct_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & v1_int_1(C))  => v1_funct_9(k9_valued_1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k18_sin_cos, A), B), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), C))) ) ) ) ) ) ).
fof(t36_funct_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & v1_int_1(C))  => v1_funct_9(k15_valued_1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k18_sin_cos, A), B), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), C))) ) ) ) ) ) ).
fof(t37_funct_9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (A=k5_numbers)  => v1_funct_9(k7_funcop_1(k1_numbers, B), A)) ) ) ) ) ).
fof(fc1_functor0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_xboole_0(A)) )  =>  (v1_relat_1(k2_funct_4(A)) &  (v1_funct_1(k2_funct_4(A)) & v1_xboole_0(k2_funct_4(A))) ) ) ) ).
fof(fc2_functor0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_xboole_0(A)) )  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k15_funct_3(A, B)) &  (v1_funct_1(k15_funct_3(A, B)) & v1_xboole_0(k15_funct_3(A, B))) ) ) ) ).
fof(fc3_functor0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_xboole_0(A)) )  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k15_funct_3(B, A)) &  (v1_funct_1(k15_funct_3(B, A)) & v1_xboole_0(k15_funct_3(B, A))) ) ) ) ).
fof(fc4_functor0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (v1_relat_1(k2_funct_4(A)) &  (v1_funct_1(k2_funct_4(A)) & v1_funcop_1(k2_funct_4(A))) ) ) ) ).
fof(rc1_functor0, axiom,  (! [A, B] :  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k2_zfmisc_1(B, B)))) &  (v1_relat_1(C) &  (v4_relat_1(C, k2_zfmisc_1(A, A)) &  (v5_relat_1(C, k2_zfmisc_1(B, B)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), k2_zfmisc_1(B, B)) &  (v1_functor0(C, A, B) & v2_functor0(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(cc1_functor0, axiom,  (! [A, B, C, D, E] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  &  (v1_relat_1(E) &  (v4_relat_1(E, B) &  (v1_funct_1(E) & v1_partfun1(E, B)) ) ) ) )  =>  (! [F] :  (m1_functor0(F, A, B, C, D, E) => v1_funcop_1(F)) ) ) ) ).
fof(rc2_functor0, axiom,  (! [A, B] :  ( (l1_struct_0(A) & l1_struct_0(B))  =>  (? [C] :  (l1_functor0(C, A, B) & v3_functor0(C, A, B)) ) ) ) ).
fof(rc3_functor0, axiom,  (! [A, B] :  ( (l1_altcat_1(A) & l1_altcat_1(B))  =>  (? [C] :  (l2_functor0(C, A, B) & v9_functor0(C, A, B)) ) ) ) ).
fof(rc4_functor0, axiom,  (! [A, B] :  ( (l1_altcat_1(A) & l1_altcat_1(B))  =>  (? [C] :  (l2_functor0(C, A, B) & v10_functor0(C, A, B)) ) ) ) ).
fof(rc5_functor0, axiom,  (! [A, B] :  ( (l1_altcat_1(A) & l1_altcat_1(B))  =>  (? [C] :  (l2_functor0(C, A, B) & v11_functor0(C, A, B)) ) ) ) ).
fof(fc5_functor0, axiom,  (! [A, B, C, D, E] :  ( (l1_altcat_1(A) &  (l1_altcat_1(B) &  (l2_functor0(C, A, B) &  (m1_subset_1(D, u1_struct_0(A)) & m1_subset_1(E, u1_struct_0(A))) ) ) )  =>  (v1_relat_1(k3_functor0(A, B, C, D, E)) & v1_funct_1(k3_functor0(A, B, C, D, E))) ) ) ).
fof(fc6_functor0, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v1_altcat_2(B) & l1_altcat_1(B)) )  &  (m1_subset_1(C, u1_struct_0(B)) & m1_subset_1(D, k1_altcat_1(B, C, C))) ) )  =>  (v8_functor0(k8_functor0(A, B, C, D), A, B) &  (v9_functor0(k8_functor0(A, B, C, D), A, B) &  (v10_functor0(k8_functor0(A, B, C, D), A, B) & v11_functor0(k8_functor0(A, B, C, D), A, B)) ) ) ) ) ).
fof(rc6_functor0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  &  ( ~ (v2_struct_0(B))  &  (v1_altcat_2(B) & l1_altcat_1(B)) ) )  =>  (? [C] :  (l2_functor0(C, A, B) &  (v8_functor0(C, A, B) &  (v10_functor0(C, A, B) & v11_functor0(C, A, B)) ) ) ) ) ) ).
fof(fc7_functor0, axiom,  (! [A, B, C] :  ( (l1_altcat_1(A) &  (l1_altcat_1(B) & l2_functor0(C, A, B)) )  => v1_funcop_1(u2_functor0(A, B, C))) ) ).
fof(rc7_functor0, axiom,  (? [A] :  (l2_altcat_1(A) &  ( ~ (v2_struct_0(A))  & v1_altcat_2(A)) ) ) ).
fof(cc2_functor0, axiom,  (! [A] :  (l2_altcat_1(A) =>  ( ( ~ (v2_struct_0(A))  & v12_altcat_1(A))  =>  ( ~ (v2_struct_0(A))  & v1_altcat_2(A)) ) ) ) ).
fof(fc8_functor0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v12_altcat_1(A) & l2_altcat_1(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v12_altcat_1(B) & l2_altcat_1(B)) )  & m1_subset_1(C, u1_struct_0(B))) )  =>  (v9_functor0(k8_functor0(A, B, C, k8_altcat_1(B, C)), A, B) & v12_functor0(k8_functor0(A, B, C, k8_altcat_1(B, C)), A, B)) ) ) ).
fof(fc9_functor0, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v1_altcat_2(B) & l1_altcat_1(B)) )  &  (m1_subset_1(C, u1_struct_0(B)) & m1_subset_1(D, k1_altcat_1(B, C, C))) ) )  =>  (v6_functor0(k8_functor0(A, B, C, D), A, B) & v9_functor0(k8_functor0(A, B, C, D), A, B)) ) ) ).
fof(rc8_functor0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  &  ( ~ (v2_struct_0(B))  &  (v1_altcat_2(B) & l1_altcat_1(B)) ) )  =>  (? [C] :  (l2_functor0(C, A, B) &  (v6_functor0(C, A, B) & v8_functor0(C, A, B)) ) ) ) ) ).
fof(rc9_functor0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v12_altcat_1(A) & l2_altcat_1(A)) )  &  ( ~ (v2_struct_0(B))  &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (? [C] :  (l2_functor0(C, A, B) &  (v6_functor0(C, A, B) &  (v8_functor0(C, A, B) &  (v9_functor0(C, A, B) & v12_functor0(C, A, B)) ) ) ) ) ) ) ).
fof(fc10_functor0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) & l2_altcat_1(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v12_altcat_1(B) & l2_altcat_1(B)) )  & m1_subset_1(C, u1_struct_0(B))) )  =>  (v9_functor0(k8_functor0(A, B, C, k8_altcat_1(B, C)), A, B) &  (v13_functor0(k8_functor0(A, B, C, k8_altcat_1(B, C)), A, B) & v14_functor0(k8_functor0(A, B, C, k8_altcat_1(B, C)), A, B)) ) ) ) ).
fof(fc11_functor0, axiom,  (! [A, B] :  ( (l2_altcat_1(A) & m1_altcat_2(B, A))  =>  (v9_functor0(k9_functor0(A, B), B, A) & v10_functor0(k9_functor0(A, B), B, A)) ) ) ).
fof(fc12_functor0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  &  ( ~ (v2_struct_0(B))  & m1_altcat_2(B, A)) )  =>  (v8_functor0(k9_functor0(A, B), B, A) & v9_functor0(k9_functor0(A, B), B, A)) ) ) ).
fof(rc10_functor0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  &  ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  =>  (? [C] :  (m2_functor0(C, A, B) &  (v8_functor0(C, A, B) &  (v9_functor0(C, A, B) &  (v15_functor0(C, A, B) & v16_functor0(C, A, B)) ) ) ) ) ) ) ).
fof(fc13_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  =>  (v8_functor0(k10_functor0(A), A, A) &  (v9_functor0(k10_functor0(A), A, A) & v10_functor0(k10_functor0(A), A, A)) ) ) ) ).
fof(rc11_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  =>  (? [B] :  (l2_functor0(B, A, A) &  (v8_functor0(B, A, A) & v10_functor0(B, A, A)) ) ) ) ) ).
fof(fc14_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (v9_functor0(k10_functor0(A), A, A) &  (v12_functor0(k10_functor0(A), A, A) & v13_functor0(k10_functor0(A), A, A)) ) ) ) ).
fof(fc15_functor0, axiom,  (! [A] :  (l1_altcat_1(A) =>  (v9_functor0(k10_functor0(A), A, A) & v21_functor0(k10_functor0(A), A, A)) ) ) ).
fof(fc16_functor0, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v1_altcat_2(B) & l1_altcat_1(B)) )  &  ( ( ~ (v2_struct_0(C))  &  (v1_altcat_2(C) & l1_altcat_1(C)) )  &  ( (v8_functor0(D, A, B) &  (v10_functor0(D, A, B) & l2_functor0(D, A, B)) )  &  (v10_functor0(E, B, C) & l2_functor0(E, B, C)) ) ) ) )  =>  (v9_functor0(k12_functor0(A, B, C, D, E), A, C) & v10_functor0(k12_functor0(A, B, C, D, E), A, C)) ) ) ).
fof(fc17_functor0, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v1_altcat_2(B) & l1_altcat_1(B)) )  &  ( ( ~ (v2_struct_0(C))  &  (v1_altcat_2(C) & l1_altcat_1(C)) )  &  ( (v8_functor0(D, A, B) &  (v11_functor0(D, A, B) & l2_functor0(D, A, B)) )  &  (v10_functor0(E, B, C) & l2_functor0(E, B, C)) ) ) ) )  =>  (v9_functor0(k12_functor0(A, B, C, D, E), A, C) & v11_functor0(k12_functor0(A, B, C, D, E), A, C)) ) ) ).
fof(fc18_functor0, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v1_altcat_2(B) & l1_altcat_1(B)) )  &  ( ( ~ (v2_struct_0(C))  &  (v1_altcat_2(C) & l1_altcat_1(C)) )  &  ( (v8_functor0(D, A, B) &  (v10_functor0(D, A, B) & l2_functor0(D, A, B)) )  &  (v11_functor0(E, B, C) & l2_functor0(E, B, C)) ) ) ) )  =>  (v9_functor0(k12_functor0(A, B, C, D, E), A, C) & v11_functor0(k12_functor0(A, B, C, D, E), A, C)) ) ) ).
fof(fc19_functor0, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v1_altcat_2(B) & l1_altcat_1(B)) )  &  ( ( ~ (v2_struct_0(C))  &  (v1_altcat_2(C) & l1_altcat_1(C)) )  &  ( (v8_functor0(D, A, B) &  (v11_functor0(D, A, B) & l2_functor0(D, A, B)) )  &  (v11_functor0(E, B, C) & l2_functor0(E, B, C)) ) ) ) )  =>  (v9_functor0(k12_functor0(A, B, C, D, E), A, C) & v10_functor0(k12_functor0(A, B, C, D, E), A, C)) ) ) ).
fof(fc20_functor0, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v1_altcat_2(B) & l1_altcat_1(B)) )  &  ( ( ~ (v2_struct_0(C))  &  (v1_altcat_2(C) & l1_altcat_1(C)) )  &  ( (v8_functor0(D, A, B) & l2_functor0(D, A, B))  &  (v8_functor0(E, B, C) & l2_functor0(E, B, C)) ) ) ) )  =>  (v8_functor0(k12_functor0(A, B, C, D, E), A, C) & v9_functor0(k12_functor0(A, B, C, D, E), A, C)) ) ) ).
fof(fc21_functor0, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v12_altcat_1(A) & l2_altcat_1(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v12_altcat_1(B) & l2_altcat_1(B)) )  &  ( ( ~ (v2_struct_0(C))  &  (v12_altcat_1(C) & l2_altcat_1(C)) )  &  ( (v6_functor0(D, A, B) &  (v8_functor0(D, A, B) &  (v12_functor0(D, A, B) & l2_functor0(D, A, B)) ) )  &  (v12_functor0(E, B, C) & l2_functor0(E, B, C)) ) ) ) )  =>  (v9_functor0(k12_functor0(A, B, C, D, E), A, C) & v12_functor0(k12_functor0(A, B, C, D, E), A, C)) ) ) ).
fof(cc3_functor0, axiom,  (! [A, B] :  ( (l1_struct_0(A) &  ( ~ (v2_struct_0(B))  & l1_struct_0(B)) )  =>  (! [C] :  (l1_functor0(C, A, B) =>  (v10_functor0(C, A, B) => v6_functor0(C, A, B)) ) ) ) ) ).
fof(cc4_functor0, axiom,  (! [A, B] :  ( (l1_struct_0(A) &  ( ~ (v2_struct_0(B))  & l1_struct_0(B)) )  =>  (! [C] :  (l1_functor0(C, A, B) =>  (v11_functor0(C, A, B) => v6_functor0(C, A, B)) ) ) ) ) ).
fof(cc5_functor0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  &  ( ~ (v2_struct_0(B))  &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  (m2_functor0(C, A, B) =>  (v15_functor0(C, A, B) => v6_functor0(C, A, B)) ) ) ) ) ).
fof(cc6_functor0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  &  ( ~ (v2_struct_0(B))  &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  (m2_functor0(C, A, B) =>  (v16_functor0(C, A, B) => v6_functor0(C, A, B)) ) ) ) ) ).
fof(t1_functor0, axiom,  (! [A] :  (v1_funct_1(k1_xboole_0) &  (v1_funct_2(k1_xboole_0, A, k1_xboole_0) & m1_subset_1(k1_xboole_0, k1_zfmisc_1(k2_zfmisc_1(A, k1_xboole_0)))) ) ) ).
fof(t2_functor0, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => k3_relat_1(k6_partfun1(A), B)=B) ) ) ).
fof(t3_functor0, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => k7_relat_1(B, k6_partfun1(A))=k7_relat_1(k2_funct_4(B), k6_partfun1(A))) ) ) ).
fof(t4_functor0, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v2_funct_2(C, B) <=> v2_funct_2(k16_funct_3(A, A, B, B, C, C), k2_zfmisc_1(B, B))) ) ) ) ) ).
fof(t5_functor0, axiom,  (! [A] :  (! [B] :  (! [C] : r8_binop_1(B, A, k1_tarski(C), k4_funct_4(A, B, k1_tarski(C), k7_funcop_1(k2_zfmisc_1(A, B), C)), k7_funcop_1(k2_zfmisc_1(B, A), C))) ) ) ).
fof(t6_functor0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (v2_funct_1(A) & v2_funct_1(B))  => k2_funct_1(k15_funct_3(A, B))=k15_funct_3(k2_funct_1(A), k2_funct_1(B))) ) ) ) ) ).
fof(t7_functor0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v2_funct_1(k15_funct_3(A, A)) => v2_funct_1(A)) ) ) ).
fof(t8_functor0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v2_funct_1(A) => v2_funct_1(k2_funct_4(A))) ) ) ).
fof(t9_functor0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (v2_funct_1(k2_funct_4(k15_funct_3(A, B))) => v2_funct_1(k15_funct_3(B, A))) ) ) ) ) ).
fof(t10_functor0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (v2_funct_1(A) & v2_funct_1(B))  => k2_funct_1(k2_funct_4(k15_funct_3(A, B)))=k2_funct_4(k2_funct_1(k15_funct_3(B, A)))) ) ) ) ) ).
fof(t11_functor0, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v2_funct_2(C, B) => r1_relset_1(B, B, k6_partfun1(B), k7_relset_1(k2_zfmisc_1(A, A), k2_zfmisc_1(B, B), k16_funct_3(A, A, B, B, C, C), k6_partfun1(A)))) ) ) ) ) ).
fof(t12_functor0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_funcop_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => k3_relat_1(C, k8_pboole(A, B))=k8_pboole(k3_relat_1(C, A), k3_relat_1(C, B))) ) ) ) ) ) ).
fof(t13_functor0, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (v2_funct_2(k4_funct_4(A, B, C, D), C) => v2_funct_2(D, C)) ) ) ) ) ) ).
fof(t14_functor0, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  => r1_relset_1(B, B, k7_relset_1(k2_zfmisc_1(A, A), k2_zfmisc_1(B, B), k16_funct_3(A, A, B, B, C, C), k6_partfun1(A)), k6_partfun1(B))) ) ) ) ) ).
fof(d1_functor0, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), k2_zfmisc_1(B, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k2_zfmisc_1(B, B))))) )  =>  (v1_functor0(C, A, B) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  & r8_binop_1(A, A, k2_zfmisc_1(B, B), C, k16_funct_3(A, A, B, B, D, D))) ) ) ) ) ) ) ).
fof(d2_functor0, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), k2_zfmisc_1(B, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k2_zfmisc_1(B, B))))) )  =>  (v2_functor0(C, A, B) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  & r8_binop_1(A, A, k2_zfmisc_1(B, B), C, k4_funct_4(A, A, k2_zfmisc_1(B, B), k16_funct_3(A, A, B, B, D, D)))) ) ) ) ) ) ) ).
fof(t15_functor0, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), k2_zfmisc_1(B, B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k2_zfmisc_1(B, B))))) )  =>  (r6_pboole(k2_zfmisc_1(A, A), D, k7_funcop_1(k2_zfmisc_1(A, A), k4_tarski(C, C))) =>  (v1_functor0(D, A, B) & v2_functor0(D, A, B)) ) ) ) ) ) ) ) ) ).
fof(t16_functor0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), k2_zfmisc_1(B, B)) &  (v1_functor0(C, A, B) &  (v2_functor0(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k2_zfmisc_1(B, B))))) ) ) )  =>  (? [D] :  (m1_subset_1(D, B) & r8_pboole(k2_zfmisc_1(A, A), C, k7_funcop_1(k2_zfmisc_1(A, A), k4_tarski(D, D)))) ) ) ) ) ) ) ) ).
fof(d3_functor0, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, B) &  (v1_funct_1(E) & v1_partfun1(E, B)) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) & v1_partfun1(F, A)) ) )  =>  ( ( ~ (B=k1_xboole_0)  =>  (m1_functor0(F, A, B, C, D, E) <=>  (? [G] :  ( ~ (v1_xboole_0(G))  &  (? [H] :  ( (v1_relat_1(H) &  (v4_relat_1(H, G) &  (v1_funct_1(H) & v1_partfun1(H, G)) ) )  &  (? [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, A, G) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(A, G)))) )  &  (C=I &  (E=H & m2_pboole(F, A, D, k3_relat_1(I, H))) ) ) ) ) ) ) ) ) )  &  (B=k1_xboole_0 =>  (m1_functor0(F, A, B, C, D, E) <=> r6_pboole(A, F, k1_pboole(A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_functor0, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, B) &  (v1_funct_1(E) & v1_partfun1(E, B)) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) & v1_partfun1(F, A)) ) )  =>  (m1_functor0(F, A, B, C, D, E) <=> m2_pboole(F, A, D, k3_relat_1(C, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_functor0, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, B) &  (v1_funct_1(F) & v1_partfun1(F, B)) ) )  =>  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, C) &  (v1_funct_1(G) & v1_partfun1(G, C)) ) )  =>  (! [H] :  (m1_functor0(H, B, C, E, F, G) => m1_functor0(k3_relat_1(D, H), A, C, k1_partfun1(A, B, B, C, D, E), k3_relat_1(D, F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_functor0, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) & v1_partfun1(F, A)) ) )  =>  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, B) &  (v1_funct_1(G) & v1_partfun1(G, B)) ) )  =>  (! [H] :  ( (v1_relat_1(H) &  (v4_relat_1(H, C) &  (v1_funct_1(H) & v1_partfun1(H, C)) ) )  =>  (! [I] :  (m1_functor0(I, A, B, D, F, G) =>  (! [J] :  (m1_functor0(J, A, C, k1_partfun1(A, B, B, C, D, E), k3_relat_1(D, G), H) =>  ( (! [K] :  ~ ( (r2_tarski(K, A) &  (k1_funct_1(k3_relat_1(D, G), K)=k1_xboole_0 &  ( ~ (k1_funct_1(F, K)=k1_xboole_0)  &  ~ (k1_funct_1(k3_relat_1(k1_partfun1(A, B, B, C, D, E), H), K)=k1_xboole_0) ) ) ) ) )  => m1_functor0(k8_pboole(I, J), A, C, k1_partfun1(A, B, B, C, D, E), F, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_altcat_1(B))  =>  (! [C] :  (l1_functor0(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_functor0(A, B, C, D)=k1_xtuple_0(k2_binop_1(u1_struct_0(A), u1_struct_0(A), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_functor0(A, B, C), D, D))) ) ) ) ) ) ) ) ).
fof(d6_functor0, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_struct_0(B) =>  (! [C] :  (l1_functor0(C, A, B) =>  (v4_functor0(C, A, B) <=> v2_funct_1(u1_functor0(A, B, C))) ) ) ) ) ) ) ).
fof(d7_functor0, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_struct_0(B) =>  (! [C] :  (l1_functor0(C, A, B) =>  (v5_functor0(C, A, B) <=> v2_funct_2(u1_functor0(A, B, C), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)))) ) ) ) ) ) ) ).
fof(d8_functor0, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_struct_0(B) =>  (! [C] :  (l1_functor0(C, A, B) =>  (v6_functor0(C, A, B) <=> r1_relset_1(u1_struct_0(B), u1_struct_0(B), k7_relset_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_functor0(A, B, C), k6_partfun1(u1_struct_0(A))), k6_partfun1(u1_struct_0(B)))) ) ) ) ) ) ) ).
fof(d9_functor0, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_struct_0(B) =>  (! [C] :  (l1_functor0(C, A, B) =>  (v7_functor0(C, A, B) <=> r1_relset_1(u1_struct_0(B), u1_struct_0(B), k6_partfun1(u1_struct_0(B)), k7_relset_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_functor0(A, B, C), k6_partfun1(u1_struct_0(A))))) ) ) ) ) ) ) ).
fof(d10_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_altcat_1(B))  =>  (! [C] :  (l1_functor0(C, A, B) =>  (v6_functor0(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_binop_1(u1_struct_0(A), u1_struct_0(A), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_functor0(A, B, C), D, D)=k4_tarski(k2_functor0(A, B, C, D), k2_functor0(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t20_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_altcat_2(A) & l1_altcat_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_altcat_2(B) & l1_altcat_1(B)) )  =>  (! [C] :  (l1_functor0(C, A, B) =>  (v7_functor0(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) & k2_functor0(A, B, C, E)=D) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_altcat_1(B))  =>  (! [C] :  (l1_functor0(C, A, B) =>  (v8_functor0(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (k1_altcat_1(A, D, E)=k1_xboole_0)  & k1_funct_1(u1_altcat_1(B), k2_binop_1(u1_struct_0(A), u1_struct_0(A), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_functor0(A, B, C), D, E))=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_functor0, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_struct_0(B) =>  (! [C] :  (l1_functor0(C, A, B) =>  (v10_functor0(C, A, B) <=> v1_functor0(u1_functor0(A, B, C), u1_struct_0(A), u1_struct_0(B))) ) ) ) ) ) ) ).
fof(d13_functor0, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_struct_0(B) =>  (! [C] :  (l1_functor0(C, A, B) =>  (v11_functor0(C, A, B) <=> v2_functor0(u1_functor0(A, B, C), u1_struct_0(A), u1_struct_0(B))) ) ) ) ) ) ) ).
fof(d14_functor0, axiom,  (! [A] :  (l1_altcat_1(A) =>  (! [B] :  (l1_altcat_1(B) =>  (! [C] :  (l2_functor0(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k3_functor0(A, B, C, D, E)=k1_binop_1(u2_functor0(A, B, C), D, E)) ) ) ) ) ) ) ) ) ) ).
fof(d15_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_altcat_1(B))  =>  (! [C] :  ( (v10_functor0(C, A, B) & l2_functor0(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (k1_altcat_1(A, D, E)=k1_xboole_0)  &  ( ~ (k1_altcat_1(B, k2_functor0(A, B, C, D), k2_functor0(A, B, C, E))=k1_xboole_0)  &  ~ ( (! [F] :  (m1_subset_1(F, k1_altcat_1(A, D, E)) => k5_functor0(A, B, C, D, E, F)=k1_funct_1(k4_functor0(A, B, C, D, E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_altcat_1(B))  =>  (! [C] :  ( (v11_functor0(C, A, B) & l2_functor0(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (k1_altcat_1(A, D, E)=k1_xboole_0)  &  ( ~ (k1_altcat_1(B, k2_functor0(A, B, C, E), k2_functor0(A, B, C, D))=k1_xboole_0)  &  ~ ( (! [F] :  (m1_subset_1(F, k1_altcat_1(A, D, E)) => k7_functor0(A, B, C, D, E, F)=k1_funct_1(k6_functor0(A, B, C, D, E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_altcat_1(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  ( ~ (k1_altcat_1(B, C, C)=k1_xboole_0)  =>  (! [D] :  (m1_subset_1(D, k1_altcat_1(B, C, C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k2_functor0(A, B, k8_functor0(A, B, C, D), E)=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_altcat_1(B))  =>  (! [C] :  ( (v10_functor0(C, A, B) & l2_functor0(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k2_binop_1(u1_struct_0(A), u1_struct_0(A), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_functor0(A, B, C), D, E)=k4_tarski(k2_functor0(A, B, C, D), k2_functor0(A, B, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(d18_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_altcat_1(B))  =>  (! [C] :  ( (v10_functor0(C, A, B) & l2_functor0(C, A, B))  =>  (v8_functor0(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (k1_altcat_1(A, D, E)=k1_xboole_0)  & k1_altcat_1(B, k2_functor0(A, B, C, D), k2_functor0(A, B, C, E))=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_altcat_1(B))  =>  (! [C] :  ( (v11_functor0(C, A, B) & l2_functor0(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k2_binop_1(u1_struct_0(A), u1_struct_0(A), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_functor0(A, B, C), D, E)=k4_tarski(k2_functor0(A, B, C, E), k2_functor0(A, B, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(d19_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_altcat_1(B))  =>  (! [C] :  ( (v11_functor0(C, A, B) & l2_functor0(C, A, B))  =>  (v8_functor0(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (k1_altcat_1(A, D, E)=k1_xboole_0)  & k1_altcat_1(B, k2_functor0(A, B, C, E), k2_functor0(A, B, C, D))=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d20_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v12_altcat_1(A) & l2_altcat_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v12_altcat_1(B) & l2_altcat_1(B)) )  =>  (! [C] :  (l2_functor0(C, A, B) =>  (v12_functor0(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_funct_1(k3_functor0(A, B, C, D, D), k8_altcat_1(A, D))=k8_altcat_1(B, k2_functor0(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t24_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_altcat_1(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  ( ~ (k1_altcat_1(B, C, C)=k1_xboole_0)  =>  (! [D] :  (m1_subset_1(D, k1_altcat_1(B, C, C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, k1_altcat_1(A, E, F)) =>  ( ~ (k1_altcat_1(A, E, F)=k1_xboole_0)  => k1_funct_1(k3_functor0(A, B, k8_functor0(A, B, C, D), E, F), G)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d21_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_altcat_1(B))  =>  (! [C] :  (l2_functor0(C, A, B) =>  (v13_functor0(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( ( ~ (k1_altcat_1(A, D, E)=k1_xboole_0)  &  ( ~ (k1_altcat_1(A, E, F)=k1_xboole_0)  &  (? [G] :  (m1_subset_1(G, k1_altcat_1(A, D, E)) &  (? [H] :  (m1_subset_1(H, k1_altcat_1(A, E, F)) &  (! [I] :  (m1_subset_1(I, k1_altcat_1(B, k2_functor0(A, B, C, D), k2_functor0(A, B, C, E))) =>  (! [J] :  (m1_subset_1(J, k1_altcat_1(B, k2_functor0(A, B, C, E), k2_functor0(A, B, C, F))) =>  ~ ( (I=k1_funct_1(k3_functor0(A, B, C, D, E), G) &  (J=k1_funct_1(k3_functor0(A, B, C, E, F), H) & k1_funct_1(k3_functor0(A, B, C, D, F), k5_altcat_1(A, D, E, F, G, H))=k5_altcat_1(B, k2_functor0(A, B, C, D), k2_functor0(A, B, C, E), k2_functor0(A, B, C, F), I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d22_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_altcat_1(B))  =>  (! [C] :  (l2_functor0(C, A, B) =>  (v14_functor0(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( ( ~ (k1_altcat_1(A, D, E)=k1_xboole_0)  &  ( ~ (k1_altcat_1(A, E, F)=k1_xboole_0)  &  (? [G] :  (m1_subset_1(G, k1_altcat_1(A, D, E)) &  (? [H] :  (m1_subset_1(H, k1_altcat_1(A, E, F)) &  (! [I] :  (m1_subset_1(I, k1_altcat_1(B, k2_functor0(A, B, C, E), k2_functor0(A, B, C, D))) =>  (! [J] :  (m1_subset_1(J, k1_altcat_1(B, k2_functor0(A, B, C, F), k2_functor0(A, B, C, E))) =>  ~ ( (I=k1_funct_1(k3_functor0(A, B, C, D, E), G) &  (J=k1_funct_1(k3_functor0(A, B, C, E, F), H) & k1_funct_1(k3_functor0(A, B, C, D, F), k5_altcat_1(A, D, E, F, G, H))=k5_altcat_1(B, k2_functor0(A, B, C, F), k2_functor0(A, B, C, E), k2_functor0(A, B, C, D), J, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d23_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) & l2_altcat_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_altcat_2(B) & l2_altcat_1(B)) )  =>  (! [C] :  ( (v8_functor0(C, A, B) &  (v10_functor0(C, A, B) & l2_functor0(C, A, B)) )  =>  (v13_functor0(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( ( ~ (k1_altcat_1(A, D, E)=k1_xboole_0)  &  ( ~ (k1_altcat_1(A, E, F)=k1_xboole_0)  &  ~ ( (! [G] :  (m1_subset_1(G, k1_altcat_1(A, D, E)) =>  (! [H] :  (m1_subset_1(H, k1_altcat_1(A, E, F)) => k5_functor0(A, B, C, D, F, k5_altcat_1(A, D, E, F, G, H))=k5_altcat_1(B, k2_functor0(A, B, C, D), k2_functor0(A, B, C, E), k2_functor0(A, B, C, F), k5_functor0(A, B, C, D, E, G), k5_functor0(A, B, C, E, F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d24_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) & l2_altcat_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_altcat_2(B) & l2_altcat_1(B)) )  =>  (! [C] :  ( (v8_functor0(C, A, B) &  (v11_functor0(C, A, B) & l2_functor0(C, A, B)) )  =>  (v14_functor0(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( ( ~ (k1_altcat_1(A, D, E)=k1_xboole_0)  &  ( ~ (k1_altcat_1(A, E, F)=k1_xboole_0)  &  ~ ( (! [G] :  (m1_subset_1(G, k1_altcat_1(A, D, E)) =>  (! [H] :  (m1_subset_1(H, k1_altcat_1(A, E, F)) => k7_functor0(A, B, C, D, F, k5_altcat_1(A, D, E, F, G, H))=k5_altcat_1(B, k2_functor0(A, B, C, F), k2_functor0(A, B, C, E), k2_functor0(A, B, C, D), k7_functor0(A, B, C, E, F, H), k7_functor0(A, B, C, D, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_altcat_2(B) & l1_altcat_1(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, k1_altcat_1(B, C, C)) =>  (! [E] :  ( (v8_functor0(E, A, B) &  (v10_functor0(E, A, B) & l2_functor0(E, A, B)) )  =>  (E=k8_functor0(A, B, C, D) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, k1_altcat_1(A, F, G)) =>  ( ~ (k1_altcat_1(A, F, G)=k1_xboole_0)  => k5_functor0(A, B, E, F, G, H)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_altcat_2(B) & l1_altcat_1(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, k1_altcat_1(B, C, C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, k1_altcat_1(A, E, F)) =>  ( ~ (k1_altcat_1(A, E, F)=k1_xboole_0)  => k7_functor0(A, B, k8_functor0(A, B, C, D), E, F, G)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d25_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v12_altcat_1(B) & l2_altcat_1(B)) )  =>  (! [C] :  (l2_functor0(C, A, B) =>  (m2_functor0(C, A, B) <=>  (v8_functor0(C, A, B) &  (v12_functor0(C, A, B) &  ( (v10_functor0(C, A, B) & v13_functor0(C, A, B))  |  (v11_functor0(C, A, B) & v14_functor0(C, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(d26_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v12_altcat_1(B) & l2_altcat_1(B)) )  =>  (! [C] :  (m2_functor0(C, A, B) =>  (v15_functor0(C, A, B) <=>  (v10_functor0(C, A, B) & v13_functor0(C, A, B)) ) ) ) ) ) ) ) ).
fof(d27_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v12_altcat_1(B) & l2_altcat_1(B)) )  =>  (! [C] :  (m2_functor0(C, A, B) =>  (v16_functor0(C, A, B) <=>  (v11_functor0(C, A, B) & v14_functor0(C, A, B)) ) ) ) ) ) ) ) ).
fof(d28_functor0, axiom,  (! [A] :  (l2_altcat_1(A) =>  (! [B] :  (m1_altcat_2(B, A) =>  (! [C] :  ( (v9_functor0(C, B, A) & l2_functor0(C, B, A))  =>  (C=k9_functor0(A, B) <=>  (u1_functor0(B, A, C)=k6_partfun1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))) & r6_pboole(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u2_functor0(B, A, C), k2_msualg_3(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_altcat_1(B)))) ) ) ) ) ) ) ) ).
fof(d29_functor0, axiom,  (! [A] :  (l1_altcat_1(A) =>  (! [B] :  ( (v9_functor0(B, A, A) & l2_functor0(B, A, A))  =>  (B=k10_functor0(A) <=>  (r8_binop_1(u1_struct_0(A), u1_struct_0(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_functor0(A, A, B), k6_partfun1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) & r6_pboole(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u2_functor0(A, A, B), k2_msualg_3(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_altcat_1(A)))) ) ) ) ) ) ).
fof(t27_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m1_altcat_2(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k2_functor0(B, A, k9_functor0(A, B), C)=C) ) ) ) ) ) ).
fof(t28_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m1_altcat_2(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => r1_tarski(k1_altcat_1(B, C, D), k1_altcat_1(A, k2_functor0(B, A, k9_functor0(A, B), C), k2_functor0(B, A, k9_functor0(A, B), D)))) ) ) ) ) ) ) ) ).
fof(d30_functor0, axiom,  (! [A] :  (l1_altcat_1(A) =>  (! [B] :  (l1_altcat_1(B) =>  (! [C] :  (l2_functor0(C, A, B) =>  (v17_functor0(C, A, B) <=> v1_msualg_3(u2_functor0(A, B, C))) ) ) ) ) ) ) ).
fof(d31_functor0, axiom,  (! [A] :  (l1_altcat_1(A) =>  (! [B] :  (l1_altcat_1(B) =>  (! [C] :  (l2_functor0(C, A, B) =>  (v18_functor0(C, A, B) <=>  (? [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) &  (v1_funct_1(D) & v1_partfun1(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) ) )  &  (? [E] :  (m2_pboole(E, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_altcat_1(A), D) &  (D=k3_relat_1(u1_functor0(A, B, C), u1_altcat_1(B)) &  (r6_pboole(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), E, u2_functor0(A, B, C)) & v2_msualg_3(E, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_altcat_1(A), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d32_functor0, axiom,  (! [A] :  (l1_altcat_1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_altcat_1(B))  =>  (! [C] :  (l2_functor0(C, A, B) =>  (v18_functor0(C, A, B) <=>  (? [D] :  (m2_pboole(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_altcat_1(A), k3_relat_1(u1_functor0(A, B, C), u1_altcat_1(B))) &  (r6_pboole(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), D, u2_functor0(A, B, C)) & v2_msualg_3(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_altcat_1(A), k3_relat_1(u1_functor0(A, B, C), u1_altcat_1(B)))) ) ) ) ) ) ) ) ) ) ).
fof(d33_functor0, axiom,  (! [A] :  (l1_altcat_1(A) =>  (! [B] :  (l1_altcat_1(B) =>  (! [C] :  (l2_functor0(C, A, B) =>  (v19_functor0(C, A, B) <=>  (v4_functor0(C, A, B) & v17_functor0(C, A, B)) ) ) ) ) ) ) ) ).
fof(d34_functor0, axiom,  (! [A] :  (l1_altcat_1(A) =>  (! [B] :  (l1_altcat_1(B) =>  (! [C] :  (l2_functor0(C, A, B) =>  (v20_functor0(C, A, B) <=>  (v18_functor0(C, A, B) & v5_functor0(C, A, B)) ) ) ) ) ) ) ) ).
fof(d35_functor0, axiom,  (! [A] :  (l1_altcat_1(A) =>  (! [B] :  (l1_altcat_1(B) =>  (! [C] :  (l2_functor0(C, A, B) =>  (v21_functor0(C, A, B) <=>  (v19_functor0(C, A, B) & v20_functor0(C, A, B)) ) ) ) ) ) ) ) ).
fof(t29_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_functor0(A, A, k10_functor0(A), B)=B) ) ) ) ).
fof(t30_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (k1_altcat_1(A, B, C)=k1_xboole_0)  =>  (! [D] :  (m1_subset_1(D, k1_altcat_1(A, B, C)) => k1_funct_1(k3_functor0(A, A, k10_functor0(A), B, C), D)=D) ) ) ) ) ) ) ) ) ).
fof(t31_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (k1_altcat_1(A, B, C)=k1_xboole_0)  =>  (! [D] :  ( (v8_functor0(D, A, A) &  (v10_functor0(D, A, A) & l2_functor0(D, A, A)) )  =>  (D=k10_functor0(A) =>  (! [E] :  (m1_subset_1(E, k1_altcat_1(A, B, C)) => k5_functor0(A, A, D, B, C, E)=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d36_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_altcat_2(B) & l1_altcat_1(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v1_altcat_2(C) & l1_altcat_1(C)) )  =>  (! [D] :  ( (v8_functor0(D, A, B) & l2_functor0(D, A, B))  =>  (! [E] :  (l2_functor0(E, B, C) =>  (! [F] :  ( (v9_functor0(F, A, C) & l2_functor0(F, A, C))  =>  (F=k12_functor0(A, B, C, D, E) <=>  (r8_binop_1(u1_struct_0(A), u1_struct_0(A), k2_zfmisc_1(u1_struct_0(C), u1_struct_0(C)), u1_functor0(A, C, F), k1_partfun1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(C), u1_struct_0(C)), u1_functor0(A, B, D), u1_functor0(B, C, E))) & r8_pboole(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u2_functor0(A, C, F), k8_pboole(u2_functor0(A, B, D), k3_relat_1(u1_functor0(A, B, D), u2_functor0(B, C, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_altcat_2(B) & l1_altcat_1(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v1_altcat_2(C) & l1_altcat_1(C)) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v1_altcat_2(D) & l1_altcat_1(D)) )  =>  (! [E] :  ( (v8_functor0(E, A, B) & l2_functor0(E, A, B))  =>  (! [F] :  ( (v8_functor0(F, B, C) & l2_functor0(F, B, C))  =>  (! [G] :  (l2_functor0(G, C, D) => k12_functor0(A, B, D, E, k12_functor0(B, C, D, F, G))=k12_functor0(A, C, D, k12_functor0(A, B, C, E, F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_altcat_2(B) & l2_altcat_1(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v1_altcat_2(C) & l2_altcat_1(C)) )  =>  (! [D] :  ( (v6_functor0(D, A, B) &  (v8_functor0(D, A, B) & l2_functor0(D, A, B)) )  =>  (! [E] :  (l2_functor0(E, B, C) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => k2_functor0(A, C, k12_functor0(A, B, C, D, E), F)=k2_functor0(B, C, E, k2_functor0(A, B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_altcat_2(B) & l1_altcat_1(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v1_altcat_2(C) & l1_altcat_1(C)) )  =>  (! [D] :  ( (v6_functor0(D, A, B) &  (v8_functor0(D, A, B) & l2_functor0(D, A, B)) )  =>  (! [E] :  (l2_functor0(E, B, C) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => k3_functor0(A, C, k12_functor0(A, B, C, D, E), F, F)=k3_relat_1(k3_functor0(A, B, D, F, F), k3_functor0(B, C, E, k2_functor0(A, B, D, F), k2_functor0(A, B, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d37_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_altcat_2(A) & l2_altcat_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_altcat_2(B) & l2_altcat_1(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & m1_altcat_2(C, A))  =>  (! [D] :  (l2_functor0(D, A, B) => k13_functor0(A, B, C, D)=k12_functor0(C, A, B, k9_functor0(A, C), D)) ) ) ) ) ) ) ) ).
fof(d38_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_altcat_1(B))  =>  (! [C] :  (l2_functor0(C, A, B) =>  (v21_functor0(C, A, B) =>  (! [D] :  ( (v9_functor0(D, B, A) & l2_functor0(D, B, A))  =>  (D=k14_functor0(A, B, C) <=>  (u1_functor0(B, A, D)=k2_funct_1(u1_functor0(A, B, C)) &  (? [E] :  (m2_pboole(E, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_altcat_1(A), k3_relat_1(u1_functor0(A, B, C), u1_altcat_1(B))) &  (r8_pboole(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), E, u2_functor0(A, B, C)) & u2_functor0(B, A, D)=k3_relat_1(k2_funct_1(u1_functor0(A, B, C)), k4_msualg_3(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_altcat_1(A), k3_relat_1(u1_functor0(A, B, C), u1_altcat_1(B)), E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( (v8_functor0(C, A, B) & l2_functor0(C, A, B))  =>  (v21_functor0(C, A, B) =>  (v21_functor0(k14_functor0(A, B, C), B, A) & v8_functor0(k14_functor0(A, B, C), B, A)) ) ) ) ) ) ) ) ).
fof(t36_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( (v6_functor0(C, A, B) &  (v8_functor0(C, A, B) & l2_functor0(C, A, B)) )  =>  ( (v21_functor0(C, A, B) & v7_functor0(C, A, B))  => v6_functor0(k14_functor0(A, B, C), B, A)) ) ) ) ) ) ) ).
fof(t37_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( (v6_functor0(C, A, B) &  (v8_functor0(C, A, B) &  (v12_functor0(C, A, B) & l2_functor0(C, A, B)) ) )  =>  ( (v21_functor0(C, A, B) & v7_functor0(C, A, B))  => v12_functor0(k14_functor0(A, B, C), B, A)) ) ) ) ) ) ) ).
fof(t38_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( (v8_functor0(C, A, B) & l2_functor0(C, A, B))  =>  ( (v21_functor0(C, A, B) & v10_functor0(C, A, B))  => v10_functor0(k14_functor0(A, B, C), B, A)) ) ) ) ) ) ) ).
fof(t39_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( (v8_functor0(C, A, B) & l2_functor0(C, A, B))  =>  ( (v21_functor0(C, A, B) & v11_functor0(C, A, B))  => v11_functor0(k14_functor0(A, B, C), B, A)) ) ) ) ) ) ) ).
fof(t40_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( (v6_functor0(C, A, B) &  (v8_functor0(C, A, B) & l2_functor0(C, A, B)) )  =>  ( (v21_functor0(C, A, B) &  (v7_functor0(C, A, B) & v10_functor0(C, A, B)) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, k1_altcat_1(B, D, E)) =>  ( ~ (k1_altcat_1(B, D, E)=k1_xboole_0)  => k1_funct_1(k3_functor0(A, B, C, k2_functor0(B, A, k14_functor0(A, B, C), D), k2_functor0(B, A, k14_functor0(A, B, C), E)), k1_funct_1(k3_functor0(B, A, k14_functor0(A, B, C), D, E), F))=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( (v6_functor0(C, A, B) &  (v8_functor0(C, A, B) & l2_functor0(C, A, B)) )  =>  ( (v21_functor0(C, A, B) &  (v7_functor0(C, A, B) & v11_functor0(C, A, B)) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, k1_altcat_1(B, D, E)) =>  ( ~ (k1_altcat_1(B, D, E)=k1_xboole_0)  => k1_funct_1(k3_functor0(A, B, C, k2_functor0(B, A, k14_functor0(A, B, C), E), k2_functor0(B, A, k14_functor0(A, B, C), D)), k1_funct_1(k3_functor0(B, A, k14_functor0(A, B, C), D, E), F))=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( (v6_functor0(C, A, B) &  (v8_functor0(C, A, B) & l2_functor0(C, A, B)) )  =>  ( (v21_functor0(C, A, B) &  (v13_functor0(C, A, B) &  (v10_functor0(C, A, B) & v7_functor0(C, A, B)) ) )  => v13_functor0(k14_functor0(A, B, C), B, A)) ) ) ) ) ) ) ).
fof(t43_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( (v6_functor0(C, A, B) &  (v8_functor0(C, A, B) & l2_functor0(C, A, B)) )  =>  ( (v21_functor0(C, A, B) &  (v14_functor0(C, A, B) &  (v11_functor0(C, A, B) & v7_functor0(C, A, B)) ) )  => v14_functor0(k14_functor0(A, B, C), B, A)) ) ) ) ) ) ) ).
fof(t44_functor0, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_struct_0(B) =>  (! [C] :  (l1_functor0(C, A, B) =>  ( (v10_functor0(C, A, B) & v5_functor0(C, A, B))  => v7_functor0(C, A, B)) ) ) ) ) ) ) ).
fof(t45_functor0, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_struct_0(B) =>  (! [C] :  (l1_functor0(C, A, B) =>  ( (v11_functor0(C, A, B) & v5_functor0(C, A, B))  => v7_functor0(C, A, B)) ) ) ) ) ) ) ).
fof(t46_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v12_altcat_1(B) & l2_altcat_1(B)) )  =>  (! [C] :  (m2_functor0(C, A, B) =>  ( (v15_functor0(C, A, B) & v5_functor0(C, A, B))  => v7_functor0(C, A, B)) ) ) ) ) ) ) ).
fof(t47_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v12_altcat_1(B) & l2_altcat_1(B)) )  =>  (! [C] :  (m2_functor0(C, A, B) =>  ( (v16_functor0(C, A, B) & v5_functor0(C, A, B))  => v7_functor0(C, A, B)) ) ) ) ) ) ) ).
fof(t48_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  =>  ~ ( (v21_functor0(C, A, B) &  (! [D] :  (m2_functor0(D, B, A) =>  ~ ( (D=k14_functor0(A, B, C) &  (v21_functor0(D, B, A) & v15_functor0(D, B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( (v16_functor0(C, A, B) & m2_functor0(C, A, B))  =>  ~ ( (v21_functor0(C, A, B) &  (! [D] :  (m2_functor0(D, B, A) =>  ~ ( (D=k14_functor0(A, B, C) &  (v21_functor0(D, B, A) & v16_functor0(D, B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d39_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (r1_functor0(A, B) <=>  (? [C] :  (m2_functor0(C, A, B) &  (v21_functor0(C, A, B) & v15_functor0(C, A, B)) ) ) ) ) ) ) ) ).
fof(d40_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (r2_functor0(A, B) <=>  (? [C] :  (m2_functor0(C, A, B) &  (v21_functor0(C, A, B) & v16_functor0(C, A, B)) ) ) ) ) ) ) ) ).
fof(dt_f1_s1_functor0, axiom,  ~ (v1_xboole_0(f1_s1_functor0)) ).
fof(dt_f2_s1_functor0, axiom,  (v1_relat_1(f2_s1_functor0) & v1_funct_1(f2_s1_functor0)) ).
fof(dt_f3_s1_functor0, axiom, m1_subset_1(f3_s1_functor0, f1_s1_functor0)).
fof(dt_f4_s1_functor0, axiom, m1_subset_1(f4_s1_functor0, f1_s1_functor0)).
fof(dt_m1_functor0, axiom,  (! [A, B, C, D, E] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  &  (v1_relat_1(E) &  (v4_relat_1(E, B) &  (v1_funct_1(E) & v1_partfun1(E, B)) ) ) ) )  =>  (! [F] :  (m1_functor0(F, A, B, C, D, E) =>  (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) & v1_partfun1(F, A)) ) ) ) ) ) ) ).
fof(existence_m1_functor0, axiom,  (! [A, B, C, D, E] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  &  (v1_relat_1(E) &  (v4_relat_1(E, B) &  (v1_funct_1(E) & v1_partfun1(E, B)) ) ) ) )  =>  (? [F] : m1_functor0(F, A, B, C, D, E)) ) ) ).
fof(dt_k1_functor0, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  ( (v1_relat_1(D) &  (v4_relat_1(D, k2_zfmisc_1(A, A)) &  (v1_funct_1(D) & v1_partfun1(D, k2_zfmisc_1(A, A))) ) )  &  ( (v1_relat_1(E) &  (v4_relat_1(E, k2_zfmisc_1(B, B)) &  (v1_funct_1(E) & v1_partfun1(E, k2_zfmisc_1(B, B))) ) )  & m1_functor0(F, k2_zfmisc_1(A, A), k2_zfmisc_1(B, B), k16_funct_3(A, A, B, B, C, C), D, E)) ) ) )  => m1_functor0(k1_functor0(A, B, C, D, E, F), k2_zfmisc_1(A, A), k2_zfmisc_1(B, B), k16_funct_3(A, A, B, B, C, C), k2_funct_4(D), k2_funct_4(E))) ) ).
fof(redefinition_k1_functor0, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  ( (v1_relat_1(D) &  (v4_relat_1(D, k2_zfmisc_1(A, A)) &  (v1_funct_1(D) & v1_partfun1(D, k2_zfmisc_1(A, A))) ) )  &  ( (v1_relat_1(E) &  (v4_relat_1(E, k2_zfmisc_1(B, B)) &  (v1_funct_1(E) & v1_partfun1(E, k2_zfmisc_1(B, B))) ) )  & m1_functor0(F, k2_zfmisc_1(A, A), k2_zfmisc_1(B, B), k16_funct_3(A, A, B, B, C, C), D, E)) ) ) )  => k1_functor0(A, B, C, D, E, F)=k2_funct_4(F)) ) ).
fof(abstractness_v3_functor0, axiom,  (! [A, B, C] :  ( (l1_struct_0(A) &  (l1_struct_0(B) & l1_functor0(C, A, B)) )  =>  (v3_functor0(C, A, B) => C=g1_functor0(A, B, u1_functor0(A, B, C))) ) ) ).
fof(existence_l1_functor0, axiom,  (! [A, B] :  ( (l1_struct_0(A) & l1_struct_0(B))  =>  (? [C] : l1_functor0(C, A, B)) ) ) ).
fof(dt_g1_functor0, axiom,  (! [A, B, C] :  ( (l1_struct_0(A) &  (l1_struct_0(B) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)))))) ) ) )  =>  (v3_functor0(g1_functor0(A, B, C), A, B) & l1_functor0(g1_functor0(A, B, C), A, B)) ) ) ).
fof(free_g1_functor0, axiom,  (! [A, B, C] :  ( (l1_struct_0(A) &  (l1_struct_0(B) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)))))) ) ) )  =>  (! [D, E, F] :  (g1_functor0(A, B, C)=g1_functor0(D, E, F) =>  (A=D &  (B=E & C=F) ) ) ) ) ) ).
fof(dt_u1_functor0, axiom,  (! [A, B, C] :  ( (l1_struct_0(A) &  (l1_struct_0(B) & l1_functor0(C, A, B)) )  =>  (v1_funct_1(u1_functor0(A, B, C)) &  (v1_funct_2(u1_functor0(A, B, C), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))) & m1_subset_1(u1_functor0(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)))))) ) ) ) ).
fof(dt_k2_functor0, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  &  ( ( ~ (v2_struct_0(B))  & l1_altcat_1(B))  &  (l1_functor0(C, A, B) & m1_subset_1(D, u1_struct_0(A))) ) )  => m1_subset_1(k2_functor0(A, B, C, D), u1_struct_0(B))) ) ).
fof(abstractness_v9_functor0, axiom,  (! [A, B, C] :  ( (l1_altcat_1(A) &  (l1_altcat_1(B) & l2_functor0(C, A, B)) )  =>  (v9_functor0(C, A, B) => C=g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))) ) ) ).
fof(dt_l2_functor0, axiom,  (! [A, B] :  ( (l1_altcat_1(A) & l1_altcat_1(B))  =>  (! [C] :  (l2_functor0(C, A, B) => l1_functor0(C, A, B)) ) ) ) ).
fof(existence_l2_functor0, axiom,  (! [A, B] :  ( (l1_altcat_1(A) & l1_altcat_1(B))  =>  (? [C] : l2_functor0(C, A, B)) ) ) ).
fof(dt_g2_functor0, axiom,  (! [A, B, C, D] :  ( (l1_altcat_1(A) &  (l1_altcat_1(B) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)))))) )  & m1_functor0(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), C, u1_altcat_1(A), u1_altcat_1(B))) ) )  =>  (v9_functor0(g2_functor0(A, B, C, D), A, B) & l2_functor0(g2_functor0(A, B, C, D), A, B)) ) ) ).
fof(free_g2_functor0, axiom,  (! [A, B, C, D] :  ( (l1_altcat_1(A) &  (l1_altcat_1(B) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)))))) )  & m1_functor0(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), C, u1_altcat_1(A), u1_altcat_1(B))) ) )  =>  (! [E, F, G, H] :  (g2_functor0(A, B, C, D)=g2_functor0(E, F, G, H) =>  (A=E &  (B=F &  (C=G & D=H) ) ) ) ) ) ) ).
fof(dt_u2_functor0, axiom,  (! [A, B, C] :  ( (l1_altcat_1(A) &  (l1_altcat_1(B) & l2_functor0(C, A, B)) )  => m1_functor0(u2_functor0(A, B, C), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_functor0(A, B, C), u1_altcat_1(A), u1_altcat_1(B))) ) ).
fof(dt_k4_functor0, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  &  ( ( ~ (v2_struct_0(B))  & l1_altcat_1(B))  &  ( (v10_functor0(C, A, B) & l2_functor0(C, A, B))  &  (m1_subset_1(D, u1_struct_0(A)) & m1_subset_1(E, u1_struct_0(A))) ) ) )  =>  (v1_funct_1(k4_functor0(A, B, C, D, E)) &  (v1_funct_2(k4_functor0(A, B, C, D, E), k1_altcat_1(A, D, E), k1_altcat_1(B, k2_functor0(A, B, C, D), k2_functor0(A, B, C, E))) & m1_subset_1(k4_functor0(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k1_altcat_1(A, D, E), k1_altcat_1(B, k2_functor0(A, B, C, D), k2_functor0(A, B, C, E)))))) ) ) ) ).
fof(redefinition_k4_functor0, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  &  ( ( ~ (v2_struct_0(B))  & l1_altcat_1(B))  &  ( (v10_functor0(C, A, B) & l2_functor0(C, A, B))  &  (m1_subset_1(D, u1_struct_0(A)) & m1_subset_1(E, u1_struct_0(A))) ) ) )  => k4_functor0(A, B, C, D, E)=k3_functor0(A, B, C, D, E)) ) ).
fof(dt_k5_functor0, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  &  ( ( ~ (v2_struct_0(B))  & l1_altcat_1(B))  &  ( (v10_functor0(C, A, B) & l2_functor0(C, A, B))  &  (m1_subset_1(D, u1_struct_0(A)) &  (m1_subset_1(E, u1_struct_0(A)) & m1_subset_1(F, k1_altcat_1(A, D, E))) ) ) ) )  => m1_subset_1(k5_functor0(A, B, C, D, E, F), k1_altcat_1(B, k2_functor0(A, B, C, D), k2_functor0(A, B, C, E)))) ) ).
fof(dt_k6_functor0, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  &  ( ( ~ (v2_struct_0(B))  & l1_altcat_1(B))  &  ( (v11_functor0(C, A, B) & l2_functor0(C, A, B))  &  (m1_subset_1(D, u1_struct_0(A)) & m1_subset_1(E, u1_struct_0(A))) ) ) )  =>  (v1_funct_1(k6_functor0(A, B, C, D, E)) &  (v1_funct_2(k6_functor0(A, B, C, D, E), k1_altcat_1(A, D, E), k1_altcat_1(B, k2_functor0(A, B, C, E), k2_functor0(A, B, C, D))) & m1_subset_1(k6_functor0(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k1_altcat_1(A, D, E), k1_altcat_1(B, k2_functor0(A, B, C, E), k2_functor0(A, B, C, D)))))) ) ) ) ).
fof(redefinition_k6_functor0, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  &  ( ( ~ (v2_struct_0(B))  & l1_altcat_1(B))  &  ( (v11_functor0(C, A, B) & l2_functor0(C, A, B))  &  (m1_subset_1(D, u1_struct_0(A)) & m1_subset_1(E, u1_struct_0(A))) ) ) )  => k6_functor0(A, B, C, D, E)=k3_functor0(A, B, C, D, E)) ) ).
fof(dt_k7_functor0, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  &  ( ( ~ (v2_struct_0(B))  & l1_altcat_1(B))  &  ( (v11_functor0(C, A, B) & l2_functor0(C, A, B))  &  (m1_subset_1(D, u1_struct_0(A)) &  (m1_subset_1(E, u1_struct_0(A)) & m1_subset_1(F, k1_altcat_1(A, D, E))) ) ) ) )  => m1_subset_1(k7_functor0(A, B, C, D, E, F), k1_altcat_1(B, k2_functor0(A, B, C, E), k2_functor0(A, B, C, D)))) ) ).
fof(dt_k8_functor0, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  &  ( ( ~ (v2_struct_0(B))  & l1_altcat_1(B))  &  (m1_subset_1(C, u1_struct_0(B)) & m1_subset_1(D, k1_altcat_1(B, C, C))) ) )  =>  (v9_functor0(k8_functor0(A, B, C, D), A, B) & l2_functor0(k8_functor0(A, B, C, D), A, B)) ) ) ).
fof(dt_m2_functor0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  &  ( ~ (v2_struct_0(B))  &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  (m2_functor0(C, A, B) => l2_functor0(C, A, B)) ) ) ) ).
fof(existence_m2_functor0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  &  ( ~ (v2_struct_0(B))  &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (? [C] : m2_functor0(C, A, B)) ) ) ).
fof(dt_k9_functor0, axiom,  (! [A, B] :  ( (l2_altcat_1(A) & m1_altcat_2(B, A))  =>  (v9_functor0(k9_functor0(A, B), B, A) & l2_functor0(k9_functor0(A, B), B, A)) ) ) ).
fof(dt_k10_functor0, axiom,  (! [A] :  (l1_altcat_1(A) =>  (v9_functor0(k10_functor0(A), A, A) & l2_functor0(k10_functor0(A), A, A)) ) ) ).
fof(dt_k11_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (v9_functor0(k11_functor0(A), A, A) &  (v15_functor0(k11_functor0(A), A, A) & m2_functor0(k11_functor0(A), A, A)) ) ) ) ).
fof(redefinition_k11_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  => k11_functor0(A)=k10_functor0(A)) ) ).
fof(dt_k12_functor0, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v1_altcat_2(B) & l1_altcat_1(B)) )  &  ( ( ~ (v2_struct_0(C))  &  (v1_altcat_2(C) & l1_altcat_1(C)) )  &  ( (v8_functor0(D, A, B) & l2_functor0(D, A, B))  & l2_functor0(E, B, C)) ) ) )  =>  (v9_functor0(k12_functor0(A, B, C, D, E), A, C) & l2_functor0(k12_functor0(A, B, C, D, E), A, C)) ) ) ).
fof(dt_k13_functor0, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_altcat_2(A) & l2_altcat_1(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v1_altcat_2(B) & l2_altcat_1(B)) )  &  ( ( ~ (v2_struct_0(C))  & m1_altcat_2(C, A))  & l2_functor0(D, A, B)) ) )  => l2_functor0(k13_functor0(A, B, C, D), C, B)) ) ).
fof(dt_k14_functor0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  &  ( ( ~ (v2_struct_0(B))  & l1_altcat_1(B))  & l2_functor0(C, A, B)) )  =>  (v9_functor0(k14_functor0(A, B, C), B, A) & l2_functor0(k14_functor0(A, B, C), B, A)) ) ) ).
fof(symmetry_r1_functor0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  &  ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  =>  (r1_functor0(A, B) => r1_functor0(B, A)) ) ) ).
fof(reflexivity_r1_functor0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  &  ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  => r1_functor0(A, A)) ) ).
fof(symmetry_r2_functor0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  &  ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  =>  (r2_functor0(A, B) => r2_functor0(B, A)) ) ) ).
fof(t18_functor0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) & v1_partfun1(D, B)) ) )  =>  (! [E] :  (m1_subset_1(E, B) =>  ( ~ (k1_funct_1(D, E)=k1_xboole_0)  =>  (! [F] :  (m1_subset_1(F, k1_funct_1(D, E)) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, B) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (r2_funct_2(A, B, G, k8_funcop_1(B, A, E)) => m1_functor0(a_6_0_functor0(A, B, C, D, E, F), A, B, G, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_functor0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_altcat_1(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  ( ~ (k1_altcat_1(B, C, C)=k1_xboole_0)  =>  (! [D] :  (m1_subset_1(D, k1_altcat_1(B, C, C)) =>  (! [E] :  ( (v9_functor0(E, A, B) & l2_functor0(E, A, B))  =>  (E=k8_functor0(A, B, C, D) <=>  (r8_pboole(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_functor0(A, B, E), k7_funcop_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k4_tarski(C, C))) & u2_functor0(A, B, E)=a_4_0_functor0(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_functor0, axiom,  ( (f2_s1_functor0=a_0_0_functor0 & p1_s1_functor0(f3_s1_functor0, f4_s1_functor0))  => k1_binop_1(f2_s1_functor0, f3_s1_functor0, f4_s1_functor0)=f5_s1_functor0(f3_s1_functor0, f4_s1_functor0)) ).
fof(fraenkel_a_6_0_functor0, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) & v1_partfun1(D, B)) ) )  &  ( (v1_relat_1(E) &  (v4_relat_1(E, C) &  (v1_funct_1(E) & v1_partfun1(E, C)) ) )  &  (m1_subset_1(F, C) & m1_subset_1(G, k1_funct_1(E, F))) ) ) ) )  =>  (r2_hidden(A, a_6_0_functor0(B, C, D, E, F, G)) <=>  (? [H] :  (m1_subset_1(H, B) & A=k4_tarski(H, k7_funcop_1(k1_funct_1(D, H), G))) ) ) ) ) ).
fof(fraenkel_a_4_0_functor0, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(B))  & l1_altcat_1(B))  &  ( ( ~ (v2_struct_0(C))  & l1_altcat_1(C))  &  (m1_subset_1(D, u1_struct_0(C)) & m1_subset_1(E, k1_altcat_1(C, D, D))) ) )  =>  (r2_hidden(A, a_4_0_functor0(B, C, D, E)) <=>  (? [F, G] :  ( (m1_subset_1(F, u1_struct_0(B)) & m1_subset_1(G, u1_struct_0(B)))  & A=k4_tarski(k4_tarski(F, G), k7_funcop_1(k1_altcat_1(B, F, G), E))) ) ) ) ) ).
fof(fraenkel_a_0_0_functor0, axiom,  (! [A] :  (r2_hidden(A, a_0_0_functor0) <=>  (? [B, C] :  ( (m1_subset_1(B, f1_s1_functor0) & m1_subset_1(C, f1_s1_functor0))  &  (A=k4_tarski(k4_tarski(B, C), f5_s1_functor0(B, C)) & p1_s1_functor0(B, C)) ) ) ) ) ).
fof(rc1_functor1, axiom,  (? [A] :  (l2_altcat_1(A) &  ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & v1_altcat_2(A)) ) ) ) ) ).
fof(rc2_functor1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_altcat_2(A) & l2_altcat_1(A)) )  =>  (? [B] :  (m1_altcat_2(B, A) &  ( ~ (v2_struct_0(B))  & v1_altcat_2(B)) ) ) ) ) ).
fof(fc1_functor1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_altcat_2(A) & l2_altcat_1(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v1_altcat_2(B) & l2_altcat_1(B)) )  &  ( (v8_functor0(C, A, B) & l2_functor0(C, A, B))  &  ( ~ (v2_struct_0(D))  &  (v1_altcat_2(D) & m1_altcat_2(D, A)) ) ) ) )  => v8_functor0(k13_functor0(A, B, D, C), D, B)) ) ).
fof(fc2_functor1, axiom,  (! [A] :  (v1_relat_1(k4_relat_1(A)) & v2_funct_2(k4_relat_1(A), A)) ) ).
fof(t1_functor1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A)))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(A)))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(B)))  =>  (C=D => r1_funct_2(C, A, D, A, k6_funct_3(A, C), k1_partfun1(D, B, B, A, k6_funct_3(B, D), k6_funct_3(A, B)))) ) ) ) ) ) ) ) ) ).
fof(t2_functor1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v3_funct_2(C, A, B) =>  (v1_funct_1(k2_funct_1(C)) &  (v1_funct_2(k2_funct_1(C), B, A) & m1_subset_1(k2_funct_1(C), k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) ) ) ) ) ).
fof(t3_functor1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  ~ ( (v3_funct_2(D, A, B) &  (v3_funct_2(E, B, C) &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  =>  ~ ( (F=k1_partfun1(A, B, B, C, D, E) & v3_funct_2(F, A, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_functor1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_altcat_2(A) & l2_altcat_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_altcat_2(B) & m1_altcat_2(B, A)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & m1_altcat_2(C, A))  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & m1_altcat_2(D, B))  =>  (C=D => k9_functor0(A, C)=k12_functor0(D, B, A, k9_functor0(B, D), k9_functor0(A, B))) ) ) ) ) ) ) ) ) ).
fof(t5_functor1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_altcat_1(B))  =>  (! [C] :  (l2_functor0(C, A, B) =>  (v21_functor0(C, A, B) =>  (v3_funct_2(u1_functor0(A, B, C), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))) & v1_msualg_3(u2_functor0(A, B, C))) ) ) ) ) ) ) ) ).
fof(t6_functor1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_altcat_2(B) & l1_altcat_1(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v1_altcat_2(C) & l1_altcat_1(C)) )  =>  (! [D] :  ( (v8_functor0(D, A, B) & l2_functor0(D, A, B))  =>  (! [E] :  (l2_functor0(E, B, C) =>  ( (v4_functor0(D, A, B) & v4_functor0(E, B, C))  => v4_functor0(k12_functor0(A, B, C, D, E), A, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_functor1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_altcat_2(B) & l1_altcat_1(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v1_altcat_2(C) & l1_altcat_1(C)) )  =>  (! [D] :  ( (v8_functor0(D, A, B) & l2_functor0(D, A, B))  =>  (! [E] :  (l2_functor0(E, B, C) =>  ( (v17_functor0(D, A, B) & v17_functor0(E, B, C))  => v17_functor0(k12_functor0(A, B, C, D, E), A, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_functor1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_altcat_2(B) & l1_altcat_1(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v1_altcat_2(C) & l1_altcat_1(C)) )  =>  (! [D] :  ( (v8_functor0(D, A, B) & l2_functor0(D, A, B))  =>  (! [E] :  (l2_functor0(E, B, C) =>  ( (v5_functor0(D, A, B) & v5_functor0(E, B, C))  => v5_functor0(k12_functor0(A, B, C, D, E), A, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_functor1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_altcat_2(B) & l1_altcat_1(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v1_altcat_2(C) & l1_altcat_1(C)) )  =>  (! [D] :  ( (v8_functor0(D, A, B) & l2_functor0(D, A, B))  =>  (! [E] :  (l2_functor0(E, B, C) =>  ( (v18_functor0(D, A, B) & v18_functor0(E, B, C))  => v18_functor0(k12_functor0(A, B, C, D, E), A, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_functor1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_altcat_2(B) & l1_altcat_1(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v1_altcat_2(C) & l1_altcat_1(C)) )  =>  (! [D] :  ( (v8_functor0(D, A, B) & l2_functor0(D, A, B))  =>  (! [E] :  (l2_functor0(E, B, C) =>  ( (v19_functor0(D, A, B) & v19_functor0(E, B, C))  => v19_functor0(k12_functor0(A, B, C, D, E), A, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_functor1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_altcat_2(B) & l1_altcat_1(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v1_altcat_2(C) & l1_altcat_1(C)) )  =>  (! [D] :  ( (v8_functor0(D, A, B) & l2_functor0(D, A, B))  =>  (! [E] :  (l2_functor0(E, B, C) =>  ( (v20_functor0(D, A, B) & v20_functor0(E, B, C))  => v20_functor0(k12_functor0(A, B, C, D, E), A, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_functor1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_altcat_2(B) & l1_altcat_1(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v1_altcat_2(C) & l1_altcat_1(C)) )  =>  (! [D] :  ( (v8_functor0(D, A, B) & l2_functor0(D, A, B))  =>  (! [E] :  (l2_functor0(E, B, C) =>  ( (v21_functor0(D, A, B) & v21_functor0(E, B, C))  => v21_functor0(k12_functor0(A, B, C, D, E), A, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_functor1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_altcat_2(A) & l2_altcat_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_altcat_2(B) & l2_altcat_1(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v1_altcat_2(C) & m1_altcat_2(C, A)) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & m1_altcat_2(D, A))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  & m1_altcat_2(E, C))  =>  (D=E =>  (! [F] :  (l2_functor0(F, A, B) => k13_functor0(A, B, D, F)=k13_functor0(C, B, E, k13_functor0(A, B, C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_functor1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m1_altcat_2(B, A))  =>  (v2_altcat_2(B, A) <=> v18_functor0(k9_functor0(A, B), B, A)) ) ) ) ) ).
fof(t15_functor1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_altcat_1(B))  =>  (! [C] :  ( (v10_functor0(C, A, B) & l2_functor0(C, A, B))  =>  (v18_functor0(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => v2_funct_2(k4_functor0(A, B, C, D, E), k1_altcat_1(B, k2_functor0(A, B, C, D), k2_functor0(A, B, C, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_functor1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_altcat_1(B))  =>  (! [C] :  ( (v10_functor0(C, A, B) & l2_functor0(C, A, B))  =>  (v17_functor0(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => v2_funct_1(k4_functor0(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_functor1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  => k14_functor0(A, A, k11_functor0(A))=k11_functor0(A)) ) ).
fof(t18_functor1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) &  (v1_altcat_2(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) &  (v1_altcat_2(B) & l2_altcat_1(B)) ) ) )  =>  (! [C] :  ( (v8_functor0(C, A, B) & l2_functor0(C, A, B))  =>  (v21_functor0(C, A, B) =>  (! [D] :  ( (v8_functor0(D, B, A) & l2_functor0(D, B, A))  =>  (g2_functor0(B, A, u1_functor0(B, A, D), u2_functor0(B, A, D))=k14_functor0(A, B, C) => k12_functor0(B, A, B, D, C)=k11_functor0(B)) ) ) ) ) ) ) ) ) ) ).
fof(t19_functor1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) &  (v1_altcat_2(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) &  (v1_altcat_2(B) & l2_altcat_1(B)) ) ) )  =>  (! [C] :  ( (v8_functor0(C, A, B) & l2_functor0(C, A, B))  =>  (v21_functor0(C, A, B) => k12_functor0(A, B, A, C, k14_functor0(A, B, C))=k11_functor0(A)) ) ) ) ) ) ) ).
fof(t20_functor1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) &  (v1_altcat_2(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) &  (v1_altcat_2(B) & l2_altcat_1(B)) ) ) )  =>  (! [C] :  ( (v8_functor0(C, A, B) & l2_functor0(C, A, B))  =>  (v21_functor0(C, A, B) => k14_functor0(B, A, k14_functor0(A, B, C))=g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))) ) ) ) ) ) ) ).
fof(t21_functor1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) &  (v1_altcat_2(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) &  (v1_altcat_2(B) & l2_altcat_1(B)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_altcat_1(C) &  (v12_altcat_1(C) &  (v1_altcat_2(C) & l2_altcat_1(C)) ) ) )  =>  (! [D] :  ( (v8_functor0(D, A, B) & l2_functor0(D, A, B))  =>  (! [E] :  ( (v8_functor0(E, B, C) & l2_functor0(E, B, C))  =>  (! [F] :  ( (v8_functor0(F, B, A) & l2_functor0(F, B, A))  =>  (! [G] :  ( (v8_functor0(G, C, B) & l2_functor0(G, C, B))  =>  ( (v21_functor0(E, B, C) &  (v21_functor0(D, A, B) &  (g2_functor0(B, A, u1_functor0(B, A, F), u2_functor0(B, A, F))=k14_functor0(A, B, D) & g2_functor0(C, B, u1_functor0(C, B, G), u2_functor0(C, B, G))=k14_functor0(B, C, E)) ) )  => k14_functor0(A, C, k12_functor0(A, B, C, D, E))=k12_functor0(C, B, A, G, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_functor2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  &  ( ~ (v2_struct_0(B))  &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  (m2_functor0(C, A, B) =>  (v8_functor0(C, A, B) & v12_functor0(C, A, B)) ) ) ) ) ).
fof(cc2_functor2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  &  ( ~ (v2_struct_0(B))  &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  (m2_functor0(C, A, B) =>  (v15_functor0(C, A, B) =>  (v10_functor0(C, A, B) & v13_functor0(C, A, B)) ) ) ) ) ) ).
fof(cc3_functor2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  &  ( ~ (v2_struct_0(B))  &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  (m2_functor0(C, A, B) =>  ( (v10_functor0(C, A, B) & v13_functor0(C, A, B))  => v15_functor0(C, A, B)) ) ) ) ) ).
fof(cc4_functor2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  &  ( ~ (v2_struct_0(B))  &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  (m2_functor0(C, A, B) =>  (v16_functor0(C, A, B) =>  (v11_functor0(C, A, B) & v14_functor0(C, A, B)) ) ) ) ) ) ).
fof(cc5_functor2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  &  ( ~ (v2_struct_0(B))  &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  (m2_functor0(C, A, B) =>  ( (v11_functor0(C, A, B) & v14_functor0(C, A, B))  => v16_functor0(C, A, B)) ) ) ) ) ).
fof(t1_functor2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k5_functor0(A, B, C, D, D, k8_altcat_1(A, D))=k8_altcat_1(B, k2_functor0(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(d1_functor2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  (m2_functor0(C, A, B) =>  (! [D] :  (m2_functor0(D, A, B) =>  (r1_functor2(A, B, C, D) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ (k1_altcat_1(B, k2_functor0(A, B, C, E), k2_functor0(A, B, D, E))=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_functor2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  (m2_functor0(C, A, B) =>  (! [D] :  (m2_functor0(D, A, B) =>  (! [E] :  (m2_functor0(E, A, B) =>  ( (r1_functor2(A, B, C, D) & r1_functor2(A, B, D, E))  => r1_functor2(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_functor2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  (m2_functor0(C, A, B) =>  (! [D] :  (m2_functor0(D, A, B) =>  (r1_functor2(A, B, C, D) =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(A)) &  (v1_funct_1(E) & v1_partfun1(E, u1_struct_0(A))) ) )  =>  (m1_functor2(E, A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => m1_subset_1(k1_funct_1(E, F), k1_altcat_1(B, k2_functor0(A, B, C, F), k2_functor0(A, B, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_functor2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  (m2_functor0(C, A, B) =>  (! [D] :  (m1_functor2(D, A, B, C, C) =>  (D=k1_functor2(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k1_funct_1(D, E)=k8_altcat_1(B, k2_functor0(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_functor2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  (m2_functor0(C, A, B) =>  (! [D] :  (m2_functor0(D, A, B) =>  (r1_functor2(A, B, C, D) =>  (! [E] :  (m1_functor2(E, A, B, C, D) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, k1_altcat_1(B, k2_functor0(A, B, C, F), k2_functor0(A, B, D, F))) =>  (G=k2_functor2(A, B, C, D, E, F) <=> G=k1_funct_1(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_functor2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  (m2_functor0(C, A, B) =>  (! [D] :  (m2_functor0(D, A, B) =>  (! [E] :  (m2_functor0(E, A, B) =>  ( (r1_functor2(A, B, C, D) & r1_functor2(A, B, D, E))  =>  (! [F] :  (m1_functor2(F, A, B, C, D) =>  (! [G] :  (m1_functor2(G, A, B, D, E) =>  (! [H] :  (m1_functor2(H, A, B, C, E) =>  (H=k3_functor2(A, B, C, D, E, F, G) <=>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) => k2_functor2(A, B, C, E, H, I)=k5_altcat_1(B, k2_functor0(A, B, C, I), k2_functor0(A, B, D, I), k2_functor0(A, B, E, I), k2_functor2(A, B, C, D, F, I), k2_functor2(A, B, D, E, G, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_functor2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  (m2_functor0(C, A, B) =>  (! [D] :  (m2_functor0(D, A, B) =>  (r1_functor2(A, B, C, D) =>  (! [E] :  (m1_functor2(E, A, B, C, D) =>  (! [F] :  (m1_functor2(F, A, B, C, D) =>  ( (! [G] :  (m1_subset_1(G, u1_struct_0(A)) => k2_functor2(A, B, C, D, E, G)=k2_functor2(A, B, C, D, F, G)) )  => r8_pboole(u1_struct_0(A), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_functor2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  (m2_functor0(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_functor2(A, B, C, C, k1_functor2(A, B, C), D)=k8_altcat_1(B, k2_functor0(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t5_functor2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  (m2_functor0(C, A, B) =>  (! [D] :  (m2_functor0(D, A, B) =>  (r1_functor2(A, B, C, D) =>  (! [E] :  (m1_functor2(E, A, B, C, D) =>  (r8_pboole(u1_struct_0(A), k3_functor2(A, B, C, D, D, E, k1_functor2(A, B, D)), E) & r8_pboole(u1_struct_0(A), k3_functor2(A, B, C, C, D, k1_functor2(A, B, C), E), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_functor2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  =>  (! [C] :  (m2_functor0(C, A, B) =>  (! [D] :  (m2_functor0(D, A, B) =>  (! [E] :  (m2_functor0(E, A, B) =>  (! [F] :  (m2_functor0(F, A, B) =>  ( (r1_functor2(A, B, C, D) &  (r1_functor2(A, B, D, E) & r1_functor2(A, B, E, F)) )  =>  (! [G] :  (m1_functor2(G, A, B, C, D) =>  (! [H] :  (m1_functor2(H, A, B, D, E) =>  (! [I] :  (m1_functor2(I, A, B, E, F) => r8_pboole(u1_struct_0(A), k3_functor2(A, B, C, D, F, G, k3_functor2(A, B, D, E, F, H, I)), k3_functor2(A, B, C, E, F, k3_functor2(A, B, C, D, E, G, H), I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_functor2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (r2_functor2(A, B, C, D) <=>  (r1_functor2(A, B, C, D) &  (? [E] :  (m1_functor2(E, A, B, C, D) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( ~ (k1_altcat_1(A, F, G)=k1_xboole_0)  =>  (! [H] :  (m1_subset_1(H, k1_altcat_1(A, F, G)) => k5_altcat_1(B, k2_functor0(A, B, C, F), k2_functor0(A, B, C, G), k2_functor0(A, B, D, G), k5_functor0(A, B, C, F, G, H), k2_functor2(A, B, C, D, E, G))=k5_altcat_1(B, k2_functor0(A, B, C, F), k2_functor0(A, B, D, F), k2_functor0(A, B, D, G), k2_functor2(A, B, C, D, E, F), k5_functor0(A, B, D, F, G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_functor2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  => r2_functor2(A, B, C, C)) ) ) ) ) ) ).
fof(t8_functor2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  =>  (! [C] :  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (! [E] :  ( (v15_functor0(E, A, B) & m2_functor0(E, A, B))  =>  ( (r2_functor2(A, B, C, D) & r2_functor2(A, B, D, E))  => r2_functor2(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_functor2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (r2_functor2(A, B, C, D) =>  (! [E] :  (m1_functor2(E, A, B, C, D) =>  (m2_functor2(E, A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( ~ (k1_altcat_1(A, F, G)=k1_xboole_0)  =>  (! [H] :  (m1_subset_1(H, k1_altcat_1(A, F, G)) => k5_altcat_1(B, k2_functor0(A, B, C, F), k2_functor0(A, B, C, G), k2_functor0(A, B, D, G), k5_functor0(A, B, C, F, G, H), k2_functor2(A, B, C, D, E, G))=k5_altcat_1(B, k2_functor0(A, B, C, F), k2_functor0(A, B, D, F), k2_functor0(A, B, D, G), k2_functor2(A, B, C, D, E, F), k5_functor0(A, B, D, F, G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_functor2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  =>  (! [C] :  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (! [E] :  ( (v15_functor0(E, A, B) & m2_functor0(E, A, B))  =>  ( (r2_functor2(A, B, C, D) & r2_functor2(A, B, D, E))  =>  (! [F] :  (m2_functor2(F, A, B, C, D) =>  (! [G] :  (m2_functor2(G, A, B, D, E) =>  (! [H] :  (m2_functor2(H, A, B, C, E) =>  (H=k5_functor2(A, B, C, D, E, F, G) <=> r8_pboole(u1_struct_0(A), H, k3_functor2(A, B, C, D, E, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_functor2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (r2_functor2(A, B, C, D) =>  (! [E] :  (m2_functor2(E, A, B, C, D) =>  (r8_pboole(u1_struct_0(A), k3_functor2(A, B, C, D, D, E, k4_functor2(A, B, D)), E) & r8_pboole(u1_struct_0(A), k3_functor2(A, B, C, C, D, k4_functor2(A, B, C), E), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_functor2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (! [E] :  ( (v15_functor0(E, A, B) & m2_functor0(E, A, B))  =>  ( (r2_functor2(A, B, C, D) & r2_functor2(A, B, D, E))  =>  (! [F] :  (m2_functor2(F, A, B, C, D) =>  (! [G] :  (m2_functor2(G, A, B, D, E) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) => k2_functor2(A, B, C, E, k3_functor2(A, B, C, D, E, F, G), H)=k5_altcat_1(B, k2_functor0(A, B, C, H), k2_functor0(A, B, D, H), k2_functor0(A, B, E, H), k2_functor2(A, B, C, D, F, H), k2_functor2(A, B, D, E, G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_functor2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  =>  (! [C] :  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (! [E] :  ( (v15_functor0(E, A, B) & m2_functor0(E, A, B))  =>  (! [F] :  ( (v15_functor0(F, A, B) & m2_functor0(F, A, B))  =>  (! [G] :  (m2_functor2(G, A, B, C, D) =>  (! [H] :  (m2_functor2(H, A, B, D, E) =>  ( (r2_functor2(A, B, C, D) &  (r2_functor2(A, B, D, E) & r2_functor2(A, B, E, F)) )  =>  (! [I] :  (m2_functor2(I, A, B, E, F) => r8_pboole(u1_struct_0(A), k5_functor2(A, B, C, D, F, G, k5_functor2(A, B, D, E, F, H, I)), k5_functor2(A, B, C, E, F, k5_functor2(A, B, C, D, E, G, H), I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_functor2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( ( (! [E] :  ( (r2_tarski(E, A) & k1_funct_1(C, E)=k1_xboole_0)  => k1_funct_1(B, E)=k1_xboole_0) )  =>  (D=k6_functor2(A, B, C) <=>  (! [E] :  (r2_tarski(E, D) <=> m2_pboole(E, A, B, C)) ) ) )  &  ( (? [E] :  (r2_tarski(E, A) &  (k1_funct_1(C, E)=k1_xboole_0 &  ~ (k1_funct_1(B, E)=k1_xboole_0) ) ) )  =>  (D=k6_functor2(A, B, C) <=> D=k1_xboole_0) ) ) ) ) ) ) ) ) ).
fof(d10_functor2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  (C=k7_functor2(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (v9_functor0(D, A, B) &  (v15_functor0(D, A, B) & m2_functor0(D, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(d11_functor2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_altcat_1(C) &  (v6_altcat_1(C) & l2_altcat_1(C)) ) )  =>  (C=k8_functor2(A, B) <=>  (u1_struct_0(C)=k7_functor2(A, B) &  ( (! [D] :  ( (v9_functor0(D, A, B) &  (v15_functor0(D, A, B) & m2_functor0(D, A, B)) )  =>  (! [E] :  ( (v9_functor0(E, A, B) &  (v15_functor0(E, A, B) & m2_functor0(E, A, B)) )  =>  (! [F] :  (r2_tarski(F, k1_binop_1(u1_altcat_1(C), D, E)) <=>  (r2_functor2(A, B, D, E) & m2_functor2(F, A, B, D, E)) ) ) ) ) ) )  &  (! [D] :  ( (v9_functor0(D, A, B) &  (v15_functor0(D, A, B) & m2_functor0(D, A, B)) )  =>  (! [E] :  ( (v9_functor0(E, A, B) &  (v15_functor0(E, A, B) & m2_functor0(E, A, B)) )  =>  (! [F] :  ( (v9_functor0(F, A, B) &  (v15_functor0(F, A, B) & m2_functor0(F, A, B)) )  =>  ( (r2_functor2(A, B, D, E) & r2_functor2(A, B, E, F))  =>  (! [G] :  (m2_functor2(G, A, B, D, E) =>  (! [H] :  (m2_functor2(H, A, B, E, F) =>  (? [I] :  ( (v1_relat_1(I) & v1_funct_1(I))  &  (I=k1_multop_1(u2_altcat_1(C), D, E, F) & k1_binop_1(I, H, G)=k5_functor2(A, B, D, E, F, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(reflexivity_r1_functor2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  &  (m2_functor0(C, A, B) & m2_functor0(D, A, B)) ) )  => r1_functor2(A, B, C, C)) ) ).
fof(dt_m1_functor2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  &  (m2_functor0(C, A, B) & m2_functor0(D, A, B)) ) )  =>  (! [E] :  (m1_functor2(E, A, B, C, D) =>  (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(A)) &  (v1_funct_1(E) & v1_partfun1(E, u1_struct_0(A))) ) ) ) ) ) ) ).
fof(existence_m1_functor2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  &  (m2_functor0(C, A, B) & m2_functor0(D, A, B)) ) )  =>  (? [E] : m1_functor2(E, A, B, C, D)) ) ) ).
fof(dt_k1_functor2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  & m2_functor0(C, A, B)) )  => m1_functor2(k1_functor2(A, B, C), A, B, C, C)) ) ).
fof(dt_k2_functor2, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  &  (m2_functor0(C, A, B) &  (m2_functor0(D, A, B) &  (m1_functor2(E, A, B, C, D) & m1_subset_1(F, u1_struct_0(A))) ) ) ) )  => m1_subset_1(k2_functor2(A, B, C, D, E, F), k1_altcat_1(B, k2_functor0(A, B, C, F), k2_functor0(A, B, D, F)))) ) ).
fof(dt_k3_functor2, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  &  (m2_functor0(C, A, B) &  (m2_functor0(D, A, B) &  (m2_functor0(E, A, B) &  (m1_functor2(F, A, B, C, D) & m1_functor2(G, A, B, D, E)) ) ) ) ) )  => m1_functor2(k3_functor2(A, B, C, D, E, F, G), A, B, C, E)) ) ).
fof(reflexivity_r2_functor2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  &  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  &  (v15_functor0(D, A, B) & m2_functor0(D, A, B)) ) ) )  => r2_functor2(A, B, C, C)) ) ).
fof(dt_m2_functor2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  &  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  &  (v15_functor0(D, A, B) & m2_functor0(D, A, B)) ) ) )  =>  (! [E] :  (m2_functor2(E, A, B, C, D) => m1_functor2(E, A, B, C, D)) ) ) ) ).
fof(existence_m2_functor2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  &  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  &  (v15_functor0(D, A, B) & m2_functor0(D, A, B)) ) ) )  =>  (? [E] : m2_functor2(E, A, B, C, D)) ) ) ).
fof(dt_k4_functor2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  &  (v15_functor0(C, A, B) & m2_functor0(C, A, B)) ) )  => m2_functor2(k4_functor2(A, B, C), A, B, C, C)) ) ).
fof(redefinition_k4_functor2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  &  (v15_functor0(C, A, B) & m2_functor0(C, A, B)) ) )  => k4_functor2(A, B, C)=k1_functor2(A, B, C)) ) ).
fof(dt_k5_functor2, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  &  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  &  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  &  ( (v15_functor0(E, A, B) & m2_functor0(E, A, B))  &  (m2_functor2(F, A, B, C, D) & m2_functor2(G, A, B, D, E)) ) ) ) ) )  => m2_functor2(k5_functor2(A, B, C, D, E, F, G), A, B, C, E)) ) ).
fof(dt_k8_functor2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) ) )  =>  ( ~ (v2_struct_0(k8_functor2(A, B)))  &  (v2_altcat_1(k8_functor2(A, B)) &  (v6_altcat_1(k8_functor2(A, B)) & l2_altcat_1(k8_functor2(A, B))) ) ) ) ) ).
fof(rc1_functor3, axiom,  (? [A] :  (l2_altcat_1(A) &  ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v6_altcat_1(A) &  (v11_altcat_1(A) & v12_altcat_1(A)) ) ) ) ) ) ).
fof(rc2_functor3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) & l2_altcat_1(A)) )  &  ( ~ (v2_struct_0(B))  &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (? [C] :  (l2_functor0(C, A, B) &  (v8_functor0(C, A, B) &  (v9_functor0(C, A, B) &  (v10_functor0(C, A, B) &  (v11_functor0(C, A, B) &  (v13_functor0(C, A, B) & v14_functor0(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(rc3_functor3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  &  ( ~ (v2_struct_0(B))  &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (? [C] :  (l2_functor0(C, A, B) &  (v8_functor0(C, A, B) &  (v9_functor0(C, A, B) &  (v10_functor0(C, A, B) &  (v11_functor0(C, A, B) &  (v12_functor0(C, A, B) &  (v13_functor0(C, A, B) & v14_functor0(C, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(rc4_functor3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  &  ( ~ (v2_struct_0(B))  &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (? [C] :  (m2_functor0(C, A, B) &  (v8_functor0(C, A, B) &  (v9_functor0(C, A, B) &  (v12_functor0(C, A, B) &  (v15_functor0(C, A, B) & v16_functor0(C, A, B)) ) ) ) ) ) ) ) ).
fof(fc1_functor3, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) & l2_altcat_1(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v12_altcat_1(C) & l2_altcat_1(C)) )  &  ( (v8_functor0(D, A, B) &  (v10_functor0(D, A, B) &  (v13_functor0(D, A, B) & l2_functor0(D, A, B)) ) )  &  (v8_functor0(E, B, C) &  (v10_functor0(E, B, C) &  (v13_functor0(E, B, C) & l2_functor0(E, B, C)) ) ) ) ) ) )  =>  (v9_functor0(k12_functor0(A, B, C, D, E), A, C) & v13_functor0(k12_functor0(A, B, C, D, E), A, C)) ) ) ).
fof(fc2_functor3, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) & l2_altcat_1(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v12_altcat_1(C) & l2_altcat_1(C)) )  &  ( (v8_functor0(D, A, B) &  (v11_functor0(D, A, B) &  (v14_functor0(D, A, B) & l2_functor0(D, A, B)) ) )  &  (v8_functor0(E, B, C) &  (v11_functor0(E, B, C) &  (v14_functor0(E, B, C) & l2_functor0(E, B, C)) ) ) ) ) ) )  =>  (v9_functor0(k12_functor0(A, B, C, D, E), A, C) & v13_functor0(k12_functor0(A, B, C, D, E), A, C)) ) ) ).
fof(fc3_functor3, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) & l2_altcat_1(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v12_altcat_1(C) & l2_altcat_1(C)) )  &  ( (v8_functor0(D, A, B) &  (v10_functor0(D, A, B) &  (v13_functor0(D, A, B) & l2_functor0(D, A, B)) ) )  &  (v8_functor0(E, B, C) &  (v11_functor0(E, B, C) &  (v14_functor0(E, B, C) & l2_functor0(E, B, C)) ) ) ) ) ) )  =>  (v9_functor0(k12_functor0(A, B, C, D, E), A, C) & v14_functor0(k12_functor0(A, B, C, D, E), A, C)) ) ) ).
fof(fc4_functor3, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) & l2_altcat_1(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v12_altcat_1(C) & l2_altcat_1(C)) )  &  ( (v8_functor0(D, A, B) &  (v11_functor0(D, A, B) &  (v14_functor0(D, A, B) & l2_functor0(D, A, B)) ) )  &  (v8_functor0(E, B, C) &  (v10_functor0(E, B, C) &  (v13_functor0(E, B, C) & l2_functor0(E, B, C)) ) ) ) ) ) )  =>  (v9_functor0(k12_functor0(A, B, C, D, E), A, C) & v14_functor0(k12_functor0(A, B, C, D, E), A, C)) ) ) ).
fof(t1_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_altcat_1(A, B, C)) =>  (! [G] :  (m1_subset_1(G, k1_altcat_1(A, C, D)) =>  (! [H] :  (m1_subset_1(H, k1_altcat_1(A, B, E)) =>  (! [I] :  (m1_subset_1(I, k1_altcat_1(A, E, D)) =>  ( (k5_altcat_1(A, B, C, D, F, G)=k5_altcat_1(A, B, E, D, H, I) &  (k5_altcat_1(A, C, B, C, k1_altcat_3(A, B, C, F), F)=k8_altcat_1(A, C) & k5_altcat_1(A, E, D, E, I, k1_altcat_3(A, E, D, I))=k8_altcat_1(A, E)) )  =>  (k1_altcat_1(A, B, C)=k1_xboole_0 |  (k1_altcat_1(A, C, B)=k1_xboole_0 |  (k1_altcat_1(A, C, D)=k1_xboole_0 |  (k1_altcat_1(A, D, E)=k1_xboole_0 |  (k1_altcat_1(A, E, D)=k1_xboole_0 | k5_altcat_1(A, C, B, E, k1_altcat_3(A, B, C, F), H)=k5_altcat_1(A, C, D, E, G, k1_altcat_3(A, E, D, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) & l2_altcat_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v12_altcat_1(B) & l2_altcat_1(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v12_altcat_1(C) & l2_altcat_1(C)) )  =>  (! [D] :  ( (v8_functor0(D, A, B) &  (v10_functor0(D, A, B) & l2_functor0(D, A, B)) )  =>  (! [E] :  (l2_functor0(E, B, C) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) => k3_functor0(A, C, k12_functor0(A, B, C, D, E), F, G)=k3_relat_1(k4_functor0(A, B, D, F, G), k3_functor0(B, C, E, k2_functor0(A, B, D, F), k2_functor0(A, B, D, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) & l2_altcat_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v12_altcat_1(B) & l2_altcat_1(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v12_altcat_1(C) & l2_altcat_1(C)) )  =>  (! [D] :  ( (v8_functor0(D, A, B) &  (v11_functor0(D, A, B) & l2_functor0(D, A, B)) )  =>  (! [E] :  (l2_functor0(E, B, C) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) => k3_functor0(A, C, k12_functor0(A, B, C, D, E), F, G)=k3_relat_1(k6_functor0(A, B, D, F, G), k3_functor0(B, C, E, k2_functor0(A, B, D, G), k2_functor0(A, B, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) & l2_altcat_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v12_altcat_1(B) & l2_altcat_1(B)) )  =>  (! [C] :  ( (v8_functor0(C, A, B) & l2_functor0(C, A, B))  => k12_functor0(A, B, B, C, k10_functor0(B))=g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))) ) ) ) ) ) ).
fof(t5_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v12_altcat_1(B) & l2_altcat_1(B)) )  =>  (! [C] :  ( (v8_functor0(C, A, B) & l2_functor0(C, A, B))  => k12_functor0(A, A, B, k11_functor0(A), C)=g2_functor0(A, B, u1_functor0(A, B, C), u2_functor0(A, B, C))) ) ) ) ) ) ).
fof(t6_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_altcat_2(B) & l2_altcat_1(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v1_altcat_2(C) & l2_altcat_1(C)) )  =>  (! [D] :  ( (v8_functor0(D, A, B) &  (v10_functor0(D, A, B) & l2_functor0(D, A, B)) )  =>  (! [E] :  ( (v8_functor0(E, B, C) &  (v10_functor0(E, B, C) & l2_functor0(E, B, C)) )  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, k1_altcat_1(A, F, G)) =>  ( ~ (k1_altcat_1(A, F, G)=k1_xboole_0)  => k5_functor0(A, C, k12_functor0(A, B, C, D, E), F, G, H)=k5_functor0(B, C, E, k2_functor0(A, B, D, F), k2_functor0(A, B, D, G), k5_functor0(A, B, D, F, G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_altcat_2(B) & l2_altcat_1(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v1_altcat_2(C) & l2_altcat_1(C)) )  =>  (! [D] :  ( (v8_functor0(D, A, B) &  (v11_functor0(D, A, B) & l2_functor0(D, A, B)) )  =>  (! [E] :  ( (v8_functor0(E, B, C) &  (v11_functor0(E, B, C) & l2_functor0(E, B, C)) )  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, k1_altcat_1(A, F, G)) =>  ( ~ (k1_altcat_1(A, F, G)=k1_xboole_0)  => k5_functor0(A, C, k12_functor0(A, B, C, D, E), F, G, H)=k7_functor0(B, C, E, k2_functor0(A, B, D, G), k2_functor0(A, B, D, F), k7_functor0(A, B, D, F, G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_altcat_2(B) & l2_altcat_1(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v1_altcat_2(C) & l2_altcat_1(C)) )  =>  (! [D] :  ( (v8_functor0(D, A, B) &  (v10_functor0(D, A, B) & l2_functor0(D, A, B)) )  =>  (! [E] :  ( (v8_functor0(E, B, C) &  (v11_functor0(E, B, C) & l2_functor0(E, B, C)) )  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, k1_altcat_1(A, F, G)) =>  ( ~ (k1_altcat_1(A, F, G)=k1_xboole_0)  => k7_functor0(A, C, k12_functor0(A, B, C, D, E), F, G, H)=k7_functor0(B, C, E, k2_functor0(A, B, D, F), k2_functor0(A, B, D, G), k5_functor0(A, B, D, F, G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_altcat_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_altcat_2(B) & l2_altcat_1(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v1_altcat_2(C) & l2_altcat_1(C)) )  =>  (! [D] :  ( (v8_functor0(D, B, C) &  (v10_functor0(D, B, C) & l2_functor0(D, B, C)) )  =>  (! [E] :  ( (v8_functor0(E, A, B) &  (v11_functor0(E, A, B) & l2_functor0(E, A, B)) )  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, k1_altcat_1(A, F, G)) =>  ( ~ (k1_altcat_1(A, F, G)=k1_xboole_0)  => k7_functor0(A, C, k12_functor0(A, B, C, E, D), F, G, H)=k5_functor0(B, C, D, k2_functor0(A, B, E, G), k2_functor0(A, B, E, F), k7_functor0(A, B, E, F, G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_altcat_1(C) &  (v12_altcat_1(C) & l2_altcat_1(C)) ) )  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (! [E] :  ( (v15_functor0(E, A, B) & m2_functor0(E, A, B))  =>  (! [F] :  ( (v15_functor0(F, B, C) & m2_functor0(F, B, C))  =>  (! [G] :  ( (v15_functor0(G, B, C) & m2_functor0(G, B, C))  =>  ( (r1_functor2(A, B, D, E) & r1_functor2(B, C, F, G))  => r1_functor2(A, C, k1_functor3(A, B, C, D, F), k1_functor3(A, B, C, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_altcat_1(C) &  (v12_altcat_1(C) & l2_altcat_1(C)) ) )  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (! [E] :  ( (v15_functor0(E, A, B) & m2_functor0(E, A, B))  =>  (! [F] :  (m1_functor2(F, A, B, D, E) =>  (! [G] :  ( (v15_functor0(G, B, C) & m2_functor0(G, B, C))  =>  (r1_functor2(A, B, D, E) =>  (! [H] :  (m1_functor2(H, A, C, k1_functor3(A, B, C, D, G), k1_functor3(A, B, C, E, G)) =>  (H=k5_functor3(A, B, C, D, E, F, G) <=>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) => k1_funct_1(H, I)=k5_functor0(B, C, G, k2_functor0(A, B, D, I), k2_functor0(A, B, E, I), k2_functor2(A, B, D, E, F, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_altcat_1(C) &  (v12_altcat_1(C) & l2_altcat_1(C)) ) )  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (! [E] :  ( (v15_functor0(E, A, B) & m2_functor0(E, A, B))  =>  (! [F] :  ( (v15_functor0(F, B, C) & m2_functor0(F, B, C))  =>  (! [G] :  (m1_functor2(G, A, B, D, E) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (r1_functor2(A, B, D, E) => k2_functor2(A, C, k1_functor3(A, B, C, D, F), k1_functor3(A, B, C, E, F), k5_functor3(A, B, C, D, E, G, F), H)=k5_functor0(B, C, F, k2_functor0(A, B, D, H), k2_functor0(A, B, E, H), k2_functor2(A, B, D, E, G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_altcat_1(C) &  (v12_altcat_1(C) & l2_altcat_1(C)) ) )  =>  (! [D] :  ( (v15_functor0(D, B, C) & m2_functor0(D, B, C))  =>  (! [E] :  ( (v15_functor0(E, B, C) & m2_functor0(E, B, C))  =>  (! [F] :  ( (v15_functor0(F, A, B) & m2_functor0(F, A, B))  =>  (! [G] :  (m1_functor2(G, B, C, D, E) =>  (r1_functor2(B, C, D, E) =>  (! [H] :  (m1_functor2(H, A, C, k1_functor3(A, B, C, F, D), k1_functor3(A, B, C, F, E)) =>  (H=k6_functor3(A, B, C, D, E, F, G) <=>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) => k1_funct_1(H, I)=k2_functor2(B, C, D, E, G, k2_functor0(A, B, F, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_altcat_1(C) &  (v12_altcat_1(C) & l2_altcat_1(C)) ) )  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (! [E] :  ( (v15_functor0(E, B, C) & m2_functor0(E, B, C))  =>  (! [F] :  ( (v15_functor0(F, B, C) & m2_functor0(F, B, C))  =>  (! [G] :  (m1_functor2(G, B, C, E, F) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (r1_functor2(B, C, E, F) => k2_functor2(A, C, k1_functor3(A, B, C, D, E), k1_functor3(A, B, C, D, F), k6_functor3(A, B, C, E, F, D, G), H)=k2_functor2(B, C, E, F, G, k2_functor0(A, B, D, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_altcat_1(C) &  (v12_altcat_1(C) & l2_altcat_1(C)) ) )  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (! [E] :  ( (v15_functor0(E, A, B) & m2_functor0(E, A, B))  =>  (! [F] :  ( (v15_functor0(F, A, B) & m2_functor0(F, A, B))  =>  (! [G] :  ( (v15_functor0(G, B, C) & m2_functor0(G, B, C))  =>  (! [H] :  (m1_functor2(H, A, B, D, E) =>  (! [I] :  (m1_functor2(I, A, B, E, F) =>  ( (r1_functor2(A, B, D, E) & r1_functor2(A, B, E, F))  => r8_pboole(u1_struct_0(A), k5_functor3(A, B, C, D, F, k3_functor2(A, B, D, E, F, H, I), G), k3_functor2(A, C, k1_functor3(A, B, C, D, G), k1_functor3(A, B, C, E, G), k1_functor3(A, B, C, F, G), k5_functor3(A, B, C, D, E, H, G), k5_functor3(A, B, C, E, F, I, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_altcat_1(C) &  (v12_altcat_1(C) & l2_altcat_1(C)) ) )  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (! [E] :  ( (v15_functor0(E, B, C) & m2_functor0(E, B, C))  =>  (! [F] :  ( (v15_functor0(F, B, C) & m2_functor0(F, B, C))  =>  (! [G] :  ( (v15_functor0(G, B, C) & m2_functor0(G, B, C))  =>  (! [H] :  (m1_functor2(H, B, C, E, F) =>  (! [I] :  (m1_functor2(I, B, C, F, G) =>  ( (r1_functor2(B, C, E, F) & r1_functor2(B, C, F, G))  => r8_pboole(u1_struct_0(A), k6_functor3(A, B, C, E, G, D, k3_functor2(B, C, E, F, G, H, I)), k3_functor2(A, C, k1_functor3(A, B, C, D, E), k1_functor3(A, B, C, D, F), k1_functor3(A, B, C, D, G), k6_functor3(A, B, C, E, F, D, H), k6_functor3(A, B, C, F, G, D, I)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_altcat_1(C) &  (v12_altcat_1(C) & l2_altcat_1(C)) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v2_altcat_1(D) &  (v12_altcat_1(D) & l2_altcat_1(D)) ) )  =>  (! [E] :  ( (v15_functor0(E, A, B) & m2_functor0(E, A, B))  =>  (! [F] :  ( (v15_functor0(F, B, C) & m2_functor0(F, B, C))  =>  (! [G] :  ( (v15_functor0(G, C, D) & m2_functor0(G, C, D))  =>  (! [H] :  ( (v15_functor0(H, C, D) & m2_functor0(H, C, D))  =>  (! [I] :  (m1_functor2(I, C, D, G, H) =>  (r1_functor2(C, D, G, H) => r8_pboole(u1_struct_0(A), k6_functor3(A, B, D, k1_functor3(B, C, D, F, G), k1_functor3(B, C, D, F, H), E, k6_functor3(B, C, D, G, H, F, I)), k6_functor3(A, C, D, G, H, k1_functor3(A, B, C, E, F), I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_altcat_1(C) &  (v12_altcat_1(C) & l2_altcat_1(C)) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v2_altcat_1(D) &  (v12_altcat_1(D) & l2_altcat_1(D)) ) )  =>  (! [E] :  ( (v15_functor0(E, A, B) & m2_functor0(E, A, B))  =>  (! [F] :  ( (v15_functor0(F, B, C) & m2_functor0(F, B, C))  =>  (! [G] :  ( (v15_functor0(G, B, C) & m2_functor0(G, B, C))  =>  (! [H] :  ( (v15_functor0(H, C, D) & m2_functor0(H, C, D))  =>  (! [I] :  (m1_functor2(I, B, C, F, G) =>  (r1_functor2(B, C, F, G) => r8_pboole(u1_struct_0(A), k6_functor3(A, B, D, k1_functor3(B, C, D, F, H), k1_functor3(B, C, D, G, H), E, k5_functor3(B, C, D, F, G, I, H)), k5_functor3(A, C, D, k1_functor3(A, B, C, E, F), k1_functor3(A, B, C, E, G), k6_functor3(A, B, C, F, G, E, I), H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_altcat_1(C) &  (v12_altcat_1(C) & l2_altcat_1(C)) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v2_altcat_1(D) &  (v12_altcat_1(D) & l2_altcat_1(D)) ) )  =>  (! [E] :  ( (v15_functor0(E, A, B) & m2_functor0(E, A, B))  =>  (! [F] :  ( (v15_functor0(F, A, B) & m2_functor0(F, A, B))  =>  (! [G] :  ( (v15_functor0(G, B, C) & m2_functor0(G, B, C))  =>  (! [H] :  ( (v15_functor0(H, C, D) & m2_functor0(H, C, D))  =>  (! [I] :  (m1_functor2(I, A, B, E, F) =>  (r1_functor2(A, B, E, F) => r8_pboole(u1_struct_0(A), k5_functor3(A, B, D, E, F, I, k1_functor3(B, C, D, G, H)), k5_functor3(A, C, D, k1_functor3(A, B, C, E, G), k1_functor3(A, B, C, F, G), k5_functor3(A, B, C, E, F, I, G), H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_altcat_1(C) &  (v12_altcat_1(C) & l2_altcat_1(C)) ) )  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (! [E] :  ( (v15_functor0(E, B, C) & m2_functor0(E, B, C))  => r8_pboole(u1_struct_0(A), k6_functor3(A, B, C, E, E, D, k4_functor2(B, C, E)), k4_functor2(A, C, k1_functor3(A, B, C, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t19_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_altcat_1(C) &  (v12_altcat_1(C) & l2_altcat_1(C)) ) )  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (! [E] :  ( (v15_functor0(E, B, C) & m2_functor0(E, B, C))  => r8_pboole(u1_struct_0(A), k5_functor3(A, B, C, D, D, k4_functor2(A, B, D), E), k4_functor2(A, C, k1_functor3(A, B, C, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t20_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (! [E] :  (m1_functor2(E, A, B, C, D) =>  (r1_functor2(A, B, C, D) => r8_pboole(u1_struct_0(A), k5_functor3(A, B, B, C, D, E, k11_functor0(B)), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (! [E] :  (m1_functor2(E, A, B, C, D) =>  (r1_functor2(A, B, C, D) => r8_pboole(u1_struct_0(A), k6_functor3(A, A, B, C, D, k11_functor0(A), E), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_altcat_1(C) &  (v12_altcat_1(C) & l2_altcat_1(C)) ) )  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (! [E] :  ( (v15_functor0(E, A, B) & m2_functor0(E, A, B))  =>  (! [F] :  ( (v15_functor0(F, B, C) & m2_functor0(F, B, C))  =>  (! [G] :  ( (v15_functor0(G, B, C) & m2_functor0(G, B, C))  =>  (! [H] :  (m1_functor2(H, A, B, D, E) =>  (! [I] :  (m1_functor2(I, B, C, F, G) => k7_functor3(A, B, C, D, E, F, G, H, I)=k3_functor2(A, C, k1_functor3(A, B, C, D, F), k1_functor3(A, B, C, E, F), k1_functor3(A, B, C, E, G), k5_functor3(A, B, C, D, E, H, F), k6_functor3(A, B, C, F, G, E, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_altcat_1(C) &  (v12_altcat_1(C) & l2_altcat_1(C)) ) )  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (! [E] :  ( (v15_functor0(E, A, B) & m2_functor0(E, A, B))  =>  (! [F] :  ( (v15_functor0(F, B, C) & m2_functor0(F, B, C))  =>  (! [G] :  ( (v15_functor0(G, B, C) & m2_functor0(G, B, C))  =>  (! [H] :  (m1_functor2(H, A, B, D, E) =>  (! [I] :  (m2_functor2(I, B, C, F, G) =>  ( (r1_functor2(A, B, D, E) & r2_functor2(B, C, F, G))  => r8_pboole(u1_struct_0(A), k7_functor3(A, B, C, D, E, F, G, H, I), k3_functor2(A, C, k1_functor3(A, B, C, D, F), k1_functor3(A, B, C, D, G), k1_functor3(A, B, C, E, G), k6_functor3(A, B, C, F, G, D, I), k5_functor3(A, B, C, D, E, H, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (! [E] :  (m1_functor2(E, A, B, C, D) =>  (r1_functor2(A, B, C, D) => r8_pboole(u1_struct_0(A), k7_functor3(A, B, B, C, D, k11_functor0(B), k11_functor0(B), E, k4_functor2(B, B, k11_functor0(B))), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (! [E] :  (m1_functor2(E, A, B, C, D) =>  (r1_functor2(A, B, C, D) => r8_pboole(u1_struct_0(A), k7_functor3(A, A, B, k11_functor0(A), k11_functor0(A), C, D, k4_functor2(A, A, k11_functor0(A)), E), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_altcat_1(C) &  (v12_altcat_1(C) & l2_altcat_1(C)) ) )  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (! [E] :  ( (v15_functor0(E, A, B) & m2_functor0(E, A, B))  =>  (! [F] :  ( (v15_functor0(F, B, C) & m2_functor0(F, B, C))  =>  (! [G] :  (m1_functor2(G, A, B, D, E) =>  (r1_functor2(A, B, D, E) => r8_pboole(u1_struct_0(A), k5_functor3(A, B, C, D, E, G, F), k7_functor3(A, B, C, D, E, F, F, G, k4_functor2(B, C, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_altcat_1(C) &  (v12_altcat_1(C) & l2_altcat_1(C)) ) )  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (! [E] :  ( (v15_functor0(E, B, C) & m2_functor0(E, B, C))  =>  (! [F] :  ( (v15_functor0(F, B, C) & m2_functor0(F, B, C))  =>  (! [G] :  (m1_functor2(G, B, C, E, F) =>  (r1_functor2(B, C, E, F) => r8_pboole(u1_struct_0(A), k6_functor3(A, B, C, E, F, D, G), k7_functor3(A, B, C, D, D, E, F, k4_functor2(A, B, D), G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_altcat_1(C) &  (v11_altcat_1(C) &  (v12_altcat_1(C) & l2_altcat_1(C)) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v2_altcat_1(D) &  (v11_altcat_1(D) &  (v12_altcat_1(D) & l2_altcat_1(D)) ) ) )  =>  (! [E] :  ( (v15_functor0(E, A, B) & m2_functor0(E, A, B))  =>  (! [F] :  ( (v15_functor0(F, A, B) & m2_functor0(F, A, B))  =>  (! [G] :  ( (v15_functor0(G, B, C) & m2_functor0(G, B, C))  =>  (! [H] :  ( (v15_functor0(H, B, C) & m2_functor0(H, B, C))  =>  (! [I] :  ( (v15_functor0(I, C, D) & m2_functor0(I, C, D))  =>  (! [J] :  ( (v15_functor0(J, C, D) & m2_functor0(J, C, D))  =>  (! [K] :  (m1_functor2(K, A, B, E, F) =>  (! [L] :  (m1_functor2(L, B, C, G, H) =>  (! [M] :  (m1_functor2(M, C, D, I, J) =>  ( (r1_functor2(A, B, E, F) &  (r1_functor2(B, C, G, H) & r1_functor2(C, D, I, J)) )  => r8_pboole(u1_struct_0(A), k7_functor3(A, B, D, E, F, k1_functor3(B, C, D, G, I), k1_functor3(B, C, D, H, J), K, k7_functor3(B, C, D, G, H, I, J, L, M)), k7_functor3(A, C, D, k1_functor3(A, B, C, E, G), k1_functor3(A, B, C, F, H), I, J, k7_functor3(A, B, C, E, F, G, H, K, L), M))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_altcat_1(C) &  (v11_altcat_1(C) &  (v12_altcat_1(C) & l2_altcat_1(C)) ) ) )  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (! [E] :  ( (v15_functor0(E, A, B) & m2_functor0(E, A, B))  =>  (! [F] :  ( (v15_functor0(F, B, C) & m2_functor0(F, B, C))  =>  (! [G] :  (m2_functor2(G, A, B, D, E) =>  (r2_functor2(A, B, D, E) => m2_functor2(k5_functor3(A, B, C, D, E, G, F), A, C, k1_functor3(A, B, C, D, F), k1_functor3(A, B, C, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_altcat_1(C) &  (v11_altcat_1(C) &  (v12_altcat_1(C) & l2_altcat_1(C)) ) ) )  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (! [E] :  ( (v15_functor0(E, B, C) & m2_functor0(E, B, C))  =>  (! [F] :  ( (v15_functor0(F, B, C) & m2_functor0(F, B, C))  =>  (! [G] :  (m2_functor2(G, B, C, E, F) =>  (r2_functor2(B, C, E, F) => m2_functor2(k6_functor3(A, B, C, E, F, D, G), A, C, k1_functor3(A, B, C, D, E), k1_functor3(A, B, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_altcat_1(C) &  (v11_altcat_1(C) &  (v12_altcat_1(C) & l2_altcat_1(C)) ) ) )  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (! [E] :  ( (v15_functor0(E, A, B) & m2_functor0(E, A, B))  =>  (! [F] :  ( (v15_functor0(F, B, C) & m2_functor0(F, B, C))  =>  (! [G] :  ( (v15_functor0(G, B, C) & m2_functor0(G, B, C))  =>  (! [H] :  (m2_functor2(H, A, B, D, E) =>  (! [I] :  (m2_functor2(I, B, C, F, G) =>  ( (r2_functor2(A, B, D, E) & r2_functor2(B, C, F, G))  =>  (r2_functor2(A, C, k1_functor3(A, B, C, D, F), k1_functor3(A, B, C, E, G)) & m2_functor2(k7_functor3(A, B, C, D, E, F, G, H, I), A, C, k1_functor3(A, B, C, D, F), k1_functor3(A, B, C, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_altcat_1(C) &  (v11_altcat_1(C) &  (v12_altcat_1(C) & l2_altcat_1(C)) ) ) )  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (! [E] :  ( (v15_functor0(E, A, B) & m2_functor0(E, A, B))  =>  (! [F] :  ( (v15_functor0(F, A, B) & m2_functor0(F, A, B))  =>  (! [G] :  ( (v15_functor0(G, B, C) & m2_functor0(G, B, C))  =>  (! [H] :  ( (v15_functor0(H, B, C) & m2_functor0(H, B, C))  =>  (! [I] :  ( (v15_functor0(I, B, C) & m2_functor0(I, B, C))  =>  (! [J] :  (m2_functor2(J, B, C, G, H) =>  (! [K] :  (m2_functor2(K, B, C, H, I) =>  (! [L] :  (m1_functor2(L, A, B, D, E) =>  (! [M] :  (m1_functor2(M, A, B, E, F) =>  ( (r2_functor2(A, B, D, E) &  (r2_functor2(A, B, E, F) &  (r2_functor2(B, C, G, H) & r2_functor2(B, C, H, I)) ) )  => r8_pboole(u1_struct_0(A), k7_functor3(A, B, C, D, F, G, I, k3_functor2(A, B, D, E, F, L, M), k5_functor2(B, C, G, H, I, J, K)), k3_functor2(A, C, k1_functor3(A, B, C, D, G), k1_functor3(A, B, C, E, H), k1_functor3(A, B, C, F, I), k7_functor3(A, B, C, D, E, G, H, L, J), k7_functor3(A, B, C, E, F, H, I, M, K)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  =>  (! [C] :  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (! [E] :  (m2_functor2(E, A, B, C, D) =>  ( (r2_functor2(A, B, C, D) &  (r1_functor2(A, B, D, C) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => v3_altcat_3(k2_functor2(A, B, C, D, E, F), B, k2_functor0(A, B, C, F), k2_functor0(A, B, D, F))) ) ) )  =>  (r2_functor2(A, B, D, C) &  (? [F] :  (m2_functor2(F, A, B, D, C) &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (k1_funct_1(F, G)=k1_altcat_3(B, k2_functor0(A, B, C, G), k2_functor0(A, B, D, G), k2_functor2(A, B, C, D, E, G)) & v3_altcat_3(k2_functor2(A, B, D, C, F, G), B, k2_functor0(A, B, D, G), k2_functor0(A, B, C, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  =>  (! [C] :  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (r1_functor3(A, B, C, D) <=>  (r2_functor2(A, B, C, D) &  (r1_functor2(A, B, D, C) &  (? [E] :  (m2_functor2(E, A, B, C, D) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => v3_altcat_3(k2_functor2(A, B, C, D, E, F), B, k2_functor0(A, B, C, F), k2_functor0(A, B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  =>  (! [C] :  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (r1_functor3(A, B, C, D) =>  (! [E] :  (m2_functor2(E, A, B, C, D) =>  (m1_functor3(E, A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => v3_altcat_3(k2_functor2(A, B, C, D, E, F), B, k2_functor0(A, B, C, F), k2_functor0(A, B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  =>  (! [C] :  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (! [E] :  ( (v15_functor0(E, A, B) & m2_functor0(E, A, B))  =>  ( (r1_functor3(A, B, C, D) & r1_functor3(A, B, D, E))  => r1_functor3(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  =>  (! [C] :  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (! [E] :  ( (v15_functor0(E, A, B) & m2_functor0(E, A, B))  =>  (! [F] :  (m1_functor3(F, A, B, C, D) =>  (! [G] :  (m1_functor3(G, A, B, D, E) =>  ( (r1_functor3(A, B, C, D) & r1_functor3(A, B, D, E))  => m1_functor3(k5_functor2(A, B, C, D, E, F, G), A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_altcat_1(C) &  (v11_altcat_1(C) &  (v12_altcat_1(C) & l2_altcat_1(C)) ) ) )  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (! [E] :  ( (v15_functor0(E, A, B) & m2_functor0(E, A, B))  =>  (! [F] :  ( (v15_functor0(F, B, C) & m2_functor0(F, B, C))  =>  (! [G] :  (m1_functor3(G, A, B, D, E) =>  (r1_functor3(A, B, D, E) =>  (r1_functor3(A, C, k1_functor3(A, B, C, D, F), k1_functor3(A, B, C, E, F)) & m1_functor3(k5_functor3(A, B, C, D, E, G, F), A, C, k1_functor3(A, B, C, D, F), k1_functor3(A, B, C, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_altcat_1(C) &  (v11_altcat_1(C) &  (v12_altcat_1(C) & l2_altcat_1(C)) ) ) )  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (! [E] :  ( (v15_functor0(E, B, C) & m2_functor0(E, B, C))  =>  (! [F] :  ( (v15_functor0(F, B, C) & m2_functor0(F, B, C))  =>  (! [G] :  (m1_functor3(G, B, C, E, F) =>  (r1_functor3(B, C, E, F) =>  (r1_functor3(A, C, k1_functor3(A, B, C, D, E), k1_functor3(A, B, C, D, F)) & m1_functor3(k6_functor3(A, B, C, E, F, D, G), A, C, k1_functor3(A, B, C, D, E), k1_functor3(A, B, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_altcat_1(C) &  (v11_altcat_1(C) &  (v12_altcat_1(C) & l2_altcat_1(C)) ) ) )  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (! [E] :  ( (v15_functor0(E, A, B) & m2_functor0(E, A, B))  =>  (! [F] :  ( (v15_functor0(F, B, C) & m2_functor0(F, B, C))  =>  (! [G] :  ( (v15_functor0(G, B, C) & m2_functor0(G, B, C))  =>  (! [H] :  (m1_functor3(H, A, B, D, E) =>  (! [I] :  (m1_functor3(I, B, C, F, G) =>  ( (r1_functor3(A, B, D, E) & r1_functor3(B, C, F, G))  =>  (r1_functor3(A, C, k1_functor3(A, B, C, D, F), k1_functor3(A, B, C, E, G)) & m1_functor3(k7_functor3(A, B, C, D, E, F, G, H, I), A, C, k1_functor3(A, B, C, D, F), k1_functor3(A, B, C, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  =>  (! [C] :  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (! [E] :  (m1_functor3(E, A, B, C, D) =>  (r1_functor3(A, B, C, D) =>  (! [F] :  (m1_functor3(F, A, B, D, C) =>  (F=k8_functor3(A, B, C, D, E) <=>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) => k1_funct_1(F, G)=k1_altcat_3(B, k2_functor0(A, B, C, G), k2_functor0(A, B, D, G), k2_functor2(A, B, C, D, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  =>  (! [C] :  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (! [E] :  (m1_functor3(E, A, B, C, D) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r1_functor3(A, B, C, D) => k2_functor2(A, B, D, C, k8_functor3(A, B, C, D, E), F)=k1_altcat_3(B, k2_functor0(A, B, C, F), k2_functor0(A, B, D, F), k2_functor2(A, B, C, D, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  =>  (! [C] :  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (! [E] :  (m1_functor3(E, A, B, C, D) =>  (r1_functor3(A, B, C, D) => r8_pboole(u1_struct_0(A), k5_functor2(A, B, D, C, D, k8_functor3(A, B, C, D, E), E), k4_functor2(A, B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  =>  (! [C] :  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (! [E] :  (m1_functor3(E, A, B, C, D) =>  (r1_functor3(A, B, C, D) => r8_pboole(u1_struct_0(A), k5_functor2(A, B, C, D, C, E, k8_functor3(A, B, C, D, E)), k4_functor2(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  =>  (! [C] :  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (! [E] :  (m1_functor3(E, A, B, C, D) =>  (r1_functor3(A, B, C, D) => r8_pboole(u1_struct_0(A), k8_functor3(A, B, D, C, k8_functor3(A, B, C, D, E)), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  =>  (! [C] :  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  =>  (! [D] :  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  =>  (! [E] :  ( (v15_functor0(E, A, B) & m2_functor0(E, A, B))  =>  (! [F] :  (m1_functor3(F, A, B, C, D) =>  (! [G] :  (m1_functor3(G, A, B, D, E) =>  (! [H] :  (m1_functor3(H, A, B, C, E) =>  ( (r8_pboole(u1_struct_0(A), H, k5_functor2(A, B, C, D, E, F, G)) &  (r1_functor3(A, B, C, D) & r1_functor3(A, B, D, E)) )  => r8_pboole(u1_struct_0(A), k8_functor3(A, B, C, E, H), k5_functor2(A, B, E, D, C, k8_functor3(A, B, D, E, G), k8_functor3(A, B, C, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_functor3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  =>  (! [C] :  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  => r8_pboole(u1_struct_0(A), k8_functor3(A, B, C, C, k9_functor3(A, B, C)), k9_functor3(A, B, C))) ) ) ) ) ) ).
fof(dt_k1_functor3, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v12_altcat_1(C) & l2_altcat_1(C)) )  &  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  &  (v15_functor0(E, B, C) & m2_functor0(E, B, C)) ) ) ) )  =>  (v9_functor0(k1_functor3(A, B, C, D, E), A, C) &  (v15_functor0(k1_functor3(A, B, C, D, E), A, C) & m2_functor0(k1_functor3(A, B, C, D, E), A, C)) ) ) ) ).
fof(redefinition_k1_functor3, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v12_altcat_1(C) & l2_altcat_1(C)) )  &  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  &  (v15_functor0(E, B, C) & m2_functor0(E, B, C)) ) ) ) )  => k1_functor3(A, B, C, D, E)=k12_functor0(A, B, C, D, E)) ) ).
fof(dt_k2_functor3, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v12_altcat_1(C) & l2_altcat_1(C)) )  &  ( (v16_functor0(D, A, B) & m2_functor0(D, A, B))  &  (v16_functor0(E, B, C) & m2_functor0(E, B, C)) ) ) ) )  =>  (v9_functor0(k2_functor3(A, B, C, D, E), A, C) &  (v15_functor0(k2_functor3(A, B, C, D, E), A, C) & m2_functor0(k2_functor3(A, B, C, D, E), A, C)) ) ) ) ).
fof(redefinition_k2_functor3, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v12_altcat_1(C) & l2_altcat_1(C)) )  &  ( (v16_functor0(D, A, B) & m2_functor0(D, A, B))  &  (v16_functor0(E, B, C) & m2_functor0(E, B, C)) ) ) ) )  => k2_functor3(A, B, C, D, E)=k12_functor0(A, B, C, D, E)) ) ).
fof(dt_k3_functor3, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v12_altcat_1(C) & l2_altcat_1(C)) )  &  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  &  (v16_functor0(E, B, C) & m2_functor0(E, B, C)) ) ) ) )  =>  (v9_functor0(k3_functor3(A, B, C, D, E), A, C) &  (v16_functor0(k3_functor3(A, B, C, D, E), A, C) & m2_functor0(k3_functor3(A, B, C, D, E), A, C)) ) ) ) ).
fof(redefinition_k3_functor3, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v12_altcat_1(C) & l2_altcat_1(C)) )  &  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  &  (v16_functor0(E, B, C) & m2_functor0(E, B, C)) ) ) ) )  => k3_functor3(A, B, C, D, E)=k12_functor0(A, B, C, D, E)) ) ).
fof(dt_k4_functor3, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v12_altcat_1(C) & l2_altcat_1(C)) )  &  ( (v16_functor0(D, A, B) & m2_functor0(D, A, B))  &  (v15_functor0(E, B, C) & m2_functor0(E, B, C)) ) ) ) )  =>  (v9_functor0(k4_functor3(A, B, C, D, E), A, C) &  (v16_functor0(k4_functor3(A, B, C, D, E), A, C) & m2_functor0(k4_functor3(A, B, C, D, E), A, C)) ) ) ) ).
fof(redefinition_k4_functor3, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v12_altcat_1(C) & l2_altcat_1(C)) )  &  ( (v16_functor0(D, A, B) & m2_functor0(D, A, B))  &  (v15_functor0(E, B, C) & m2_functor0(E, B, C)) ) ) ) )  => k4_functor3(A, B, C, D, E)=k12_functor0(A, B, C, D, E)) ) ).
fof(dt_k5_functor3, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v2_altcat_1(C) &  (v12_altcat_1(C) & l2_altcat_1(C)) ) )  &  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  &  ( (v15_functor0(E, A, B) & m2_functor0(E, A, B))  &  (m1_functor2(F, A, B, D, E) &  (v15_functor0(G, B, C) & m2_functor0(G, B, C)) ) ) ) ) ) )  => m1_functor2(k5_functor3(A, B, C, D, E, F, G), A, C, k1_functor3(A, B, C, D, G), k1_functor3(A, B, C, E, G))) ) ).
fof(dt_k6_functor3, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v2_altcat_1(C) &  (v12_altcat_1(C) & l2_altcat_1(C)) ) )  &  ( (v15_functor0(D, B, C) & m2_functor0(D, B, C))  &  ( (v15_functor0(E, B, C) & m2_functor0(E, B, C))  &  ( (v15_functor0(F, A, B) & m2_functor0(F, A, B))  & m1_functor2(G, B, C, D, E)) ) ) ) ) )  => m1_functor2(k6_functor3(A, B, C, D, E, F, G), A, C, k1_functor3(A, B, C, F, D), k1_functor3(A, B, C, F, E))) ) ).
fof(dt_k7_functor3, axiom,  (! [A, B, C, D, E, F, G, H, I] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v2_altcat_1(C) &  (v12_altcat_1(C) & l2_altcat_1(C)) ) )  &  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  &  ( (v15_functor0(E, A, B) & m2_functor0(E, A, B))  &  ( (v15_functor0(F, B, C) & m2_functor0(F, B, C))  &  ( (v15_functor0(G, B, C) & m2_functor0(G, B, C))  &  (m1_functor2(H, A, B, D, E) & m1_functor2(I, B, C, F, G)) ) ) ) ) ) ) )  => m1_functor2(k7_functor3(A, B, C, D, E, F, G, H, I), A, C, k1_functor3(A, B, C, D, F), k1_functor3(A, B, C, E, G))) ) ).
fof(symmetry_r1_functor3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  &  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  &  (v15_functor0(D, A, B) & m2_functor0(D, A, B)) ) ) )  =>  (r1_functor3(A, B, C, D) => r1_functor3(A, B, D, C)) ) ) ).
fof(reflexivity_r1_functor3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  &  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  &  (v15_functor0(D, A, B) & m2_functor0(D, A, B)) ) ) )  => r1_functor3(A, B, C, C)) ) ).
fof(dt_m1_functor3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  &  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  &  (v15_functor0(D, A, B) & m2_functor0(D, A, B)) ) ) )  =>  (! [E] :  (m1_functor3(E, A, B, C, D) => m2_functor2(E, A, B, C, D)) ) ) ) ).
fof(existence_m1_functor3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  &  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  &  (v15_functor0(D, A, B) & m2_functor0(D, A, B)) ) ) )  =>  (? [E] : m1_functor3(E, A, B, C, D)) ) ) ).
fof(dt_k8_functor3, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  &  ( (v15_functor0(C, A, B) & m2_functor0(C, A, B))  &  ( (v15_functor0(D, A, B) & m2_functor0(D, A, B))  & m1_functor3(E, A, B, C, D)) ) ) )  => m1_functor3(k8_functor3(A, B, C, D, E), A, B, D, C)) ) ).
fof(dt_k9_functor3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  &  (v15_functor0(C, A, B) & m2_functor0(C, A, B)) ) )  => m1_functor3(k9_functor3(A, B, C), A, B, C, C)) ) ).
fof(redefinition_k9_functor3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  &  (v15_functor0(C, A, B) & m2_functor0(C, A, B)) ) )  => k9_functor3(A, B, C)=k1_functor2(A, B, C)) ) ).
fof(fc1_fuzimpl1, axiom,  (v1_funct_1(k1_fuzimpl1) &  (v1_funct_2(k1_fuzimpl1, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) &  (v2_fuzimpl1(k1_fuzimpl1) &  (v3_fuzimpl1(k1_fuzimpl1) &  (v4_fuzimpl1(k1_fuzimpl1) & v5_fuzimpl1(k1_fuzimpl1)) ) ) ) ) ).
fof(fc2_fuzimpl1, axiom,  (v1_funct_1(k2_fuzimpl1) &  (v1_funct_2(k2_fuzimpl1, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) &  (v1_fuzimpl1(k2_fuzimpl1) &  (v3_fuzimpl1(k2_fuzimpl1) &  (v4_fuzimpl1(k2_fuzimpl1) & v5_fuzimpl1(k2_fuzimpl1)) ) ) ) ) ).
fof(fc3_fuzimpl1, axiom,  (v1_funct_1(k3_fuzimpl1) &  (v1_funct_2(k3_fuzimpl1, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) &  (v1_fuzimpl1(k3_fuzimpl1) &  (v2_fuzimpl1(k3_fuzimpl1) &  ( ~ (v3_fuzimpl1(k3_fuzimpl1))  &  (v4_fuzimpl1(k3_fuzimpl1) & v5_fuzimpl1(k3_fuzimpl1)) ) ) ) ) ) ).
fof(fc4_fuzimpl1, axiom,  (v1_funct_1(k4_fuzimpl1) &  (v1_funct_2(k4_fuzimpl1, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) &  (v1_fuzimpl1(k4_fuzimpl1) &  (v2_fuzimpl1(k4_fuzimpl1) &  (v3_fuzimpl1(k4_fuzimpl1) &  ( ~ (v4_fuzimpl1(k4_fuzimpl1))  & v5_fuzimpl1(k4_fuzimpl1)) ) ) ) ) ) ).
fof(fc5_fuzimpl1, axiom,  (v1_funct_1(k5_fuzimpl1) &  (v1_funct_2(k5_fuzimpl1, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) &  (v1_fuzimpl1(k5_fuzimpl1) &  (v2_fuzimpl1(k5_fuzimpl1) &  (v3_fuzimpl1(k5_fuzimpl1) &  (v4_fuzimpl1(k5_fuzimpl1) &  ~ (v5_fuzimpl1(k5_fuzimpl1)) ) ) ) ) ) ) ).
fof(fc6_fuzimpl1, axiom,  (v1_funct_1(k6_fuzimpl1) &  (v1_funct_2(k6_fuzimpl1, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) &  (v1_fuzimpl1(k6_fuzimpl1) &  (v2_fuzimpl1(k6_fuzimpl1) &  (v3_fuzimpl1(k6_fuzimpl1) &  (v4_fuzimpl1(k6_fuzimpl1) & v5_fuzimpl1(k6_fuzimpl1)) ) ) ) ) ) ).
fof(rc1_fuzimpl1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)))) &  (v1_relat_1(A) &  (v4_relat_1(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1))) &  (v5_relat_1(A, k1_rcomp_1(k5_ordinal1, 1)) &  (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & v7_fuzimpl1(A)) ) ) ) ) ) ) ).
fof(cc1_fuzimpl1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)))) =>  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & v7_fuzimpl1(A)) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) &  (v1_fuzimpl1(A) &  (v2_fuzimpl1(A) &  (v3_fuzimpl1(A) &  (v4_fuzimpl1(A) & v5_fuzimpl1(A)) ) ) ) ) ) ) ) ) ).
fof(cc2_fuzimpl1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)))) =>  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) &  (v1_fuzimpl1(A) &  (v2_fuzimpl1(A) &  (v3_fuzimpl1(A) &  (v4_fuzimpl1(A) &  (v5_fuzimpl1(A) & v6_fuzimpl1(A)) ) ) ) ) ) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & v7_fuzimpl1(A)) ) ) ) ) ).
fof(cc3_fuzimpl1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)))) =>  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & v8_fuzimpl1(A)) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) &  (v3_fuzimpl1(A) &  (v4_fuzimpl1(A) &  (v5_fuzimpl1(A) & v6_fuzimpl1(A)) ) ) ) ) ) ) ) ).
fof(cc4_fuzimpl1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)))) =>  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) &  (v3_fuzimpl1(A) &  (v4_fuzimpl1(A) &  (v5_fuzimpl1(A) & v6_fuzimpl1(A)) ) ) ) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & v8_fuzimpl1(A)) ) ) ) ) ).
fof(cc5_fuzimpl1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)))) =>  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & v7_fuzimpl1(A)) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & v8_fuzimpl1(A)) ) ) ) ) ).
fof(fc7_fuzimpl1, axiom,  (v1_funct_1(k8_fuzimpl1) &  (v1_funct_2(k8_fuzimpl1, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) &  (v1_fuzimpl1(k8_fuzimpl1) &  (v2_fuzimpl1(k8_fuzimpl1) &  (v3_fuzimpl1(k8_fuzimpl1) &  (v4_fuzimpl1(k8_fuzimpl1) & v5_fuzimpl1(k8_fuzimpl1)) ) ) ) ) ) ).
fof(fc8_fuzimpl1, axiom,  (v1_funct_1(k9_fuzimpl1) &  (v1_funct_2(k9_fuzimpl1, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) &  (v1_fuzimpl1(k9_fuzimpl1) &  (v2_fuzimpl1(k9_fuzimpl1) &  (v3_fuzimpl1(k9_fuzimpl1) &  (v4_fuzimpl1(k9_fuzimpl1) & v5_fuzimpl1(k9_fuzimpl1)) ) ) ) ) ) ).
fof(fc9_fuzimpl1, axiom,  (v1_funct_1(k10_fuzimpl1) &  (v1_funct_2(k10_fuzimpl1, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) &  (v1_fuzimpl1(k10_fuzimpl1) &  (v2_fuzimpl1(k10_fuzimpl1) &  (v3_fuzimpl1(k10_fuzimpl1) &  (v4_fuzimpl1(k10_fuzimpl1) & v5_fuzimpl1(k10_fuzimpl1)) ) ) ) ) ) ).
fof(fc10_fuzimpl1, axiom,  (v1_funct_1(k11_fuzimpl1) &  (v1_funct_2(k11_fuzimpl1, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) &  (v1_fuzimpl1(k11_fuzimpl1) &  (v2_fuzimpl1(k11_fuzimpl1) &  (v3_fuzimpl1(k11_fuzimpl1) &  (v4_fuzimpl1(k11_fuzimpl1) & v5_fuzimpl1(k11_fuzimpl1)) ) ) ) ) ) ).
fof(fc11_fuzimpl1, axiom,  (v1_funct_1(k12_fuzimpl1) &  (v1_funct_2(k12_fuzimpl1, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) &  (v1_fuzimpl1(k12_fuzimpl1) &  (v2_fuzimpl1(k12_fuzimpl1) &  (v3_fuzimpl1(k12_fuzimpl1) &  (v4_fuzimpl1(k12_fuzimpl1) & v5_fuzimpl1(k12_fuzimpl1)) ) ) ) ) ) ).
fof(fc12_fuzimpl1, axiom,  (v1_funct_1(k13_fuzimpl1) &  (v1_funct_2(k13_fuzimpl1, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) &  (v1_fuzimpl1(k13_fuzimpl1) &  (v2_fuzimpl1(k13_fuzimpl1) &  (v3_fuzimpl1(k13_fuzimpl1) &  (v4_fuzimpl1(k13_fuzimpl1) & v5_fuzimpl1(k13_fuzimpl1)) ) ) ) ) ) ).
fof(fc13_fuzimpl1, axiom,  (v1_funct_1(k14_fuzimpl1) &  (v1_funct_2(k14_fuzimpl1, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) &  (v1_fuzimpl1(k14_fuzimpl1) &  (v2_fuzimpl1(k14_fuzimpl1) &  (v3_fuzimpl1(k14_fuzimpl1) &  (v4_fuzimpl1(k14_fuzimpl1) & v5_fuzimpl1(k14_fuzimpl1)) ) ) ) ) ) ).
fof(fc14_fuzimpl1, axiom,  (v1_funct_1(k15_fuzimpl1) &  (v1_funct_2(k15_fuzimpl1, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) &  (v1_fuzimpl1(k15_fuzimpl1) &  (v2_fuzimpl1(k15_fuzimpl1) &  (v3_fuzimpl1(k15_fuzimpl1) &  (v4_fuzimpl1(k15_fuzimpl1) & v5_fuzimpl1(k15_fuzimpl1)) ) ) ) ) ) ).
fof(fc15_fuzimpl1, axiom,  (v1_funct_1(k16_fuzimpl1) &  (v1_funct_2(k16_fuzimpl1, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) &  (v1_fuzimpl1(k16_fuzimpl1) &  (v2_fuzimpl1(k16_fuzimpl1) &  (v3_fuzimpl1(k16_fuzimpl1) &  (v4_fuzimpl1(k16_fuzimpl1) & v5_fuzimpl1(k16_fuzimpl1)) ) ) ) ) ) ).
fof(fc16_fuzimpl1, axiom,  (v1_funct_1(k17_fuzimpl1) &  (v1_funct_2(k17_fuzimpl1, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) &  (v1_fuzimpl1(k17_fuzimpl1) &  (v2_fuzimpl1(k17_fuzimpl1) &  (v3_fuzimpl1(k17_fuzimpl1) &  (v4_fuzimpl1(k17_fuzimpl1) & v5_fuzimpl1(k17_fuzimpl1)) ) ) ) ) ) ).
fof(cc6_fuzimpl1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)))) =>  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) &  (v1_fuzimpl1(A) &  (v2_fuzimpl1(A) &  (v3_fuzimpl1(A) &  (v4_fuzimpl1(A) & v5_fuzimpl1(A)) ) ) ) ) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) &  (v1_fuzimpl1(A) &  (v2_fuzimpl1(A) &  (v3_fuzimpl1(A) &  (v4_fuzimpl1(A) &  (v5_fuzimpl1(A) &  (v9_fuzimpl1(A) & v10_fuzimpl1(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_fuzimpl1, axiom,  (! [A] :  (m1_subset_1(A, k1_rcomp_1(k5_ordinal1, 1)) =>  (! [B] :  (m1_subset_1(B, k1_rcomp_1(k5_ordinal1, 1)) => r2_hidden(k4_xxreal_0(B, k3_xxreal_0(k6_xcmplx_0(1, A), k6_xcmplx_0(1, B))), k1_rcomp_1(k5_ordinal1, 1))) ) ) ) ).
fof(t2_fuzimpl1, axiom,  (! [A] :  (m1_subset_1(A, k1_rcomp_1(k5_ordinal1, 1)) =>  (! [B] :  (m1_subset_1(B, k1_rcomp_1(k5_ordinal1, 1)) => r2_hidden(k3_xxreal_0(1, k2_xcmplx_0(k6_xcmplx_0(1, A), B)), k1_rcomp_1(k5_ordinal1, 1))) ) ) ) ).
fof(t3_fuzimpl1, axiom,  (! [A] :  (m1_subset_1(A, k1_rcomp_1(k5_ordinal1, 1)) =>  (! [B] :  (m1_subset_1(B, k1_rcomp_1(k5_ordinal1, 1)) => r2_tarski(k2_xcmplx_0(k6_xcmplx_0(1, A), k3_xcmplx_0(A, B)), k1_rcomp_1(k5_ordinal1, 1))) ) ) ) ).
fof(t4_fuzimpl1, axiom,  (! [A] :  (m1_subset_1(A, k1_rcomp_1(k5_ordinal1, 1)) =>  (! [B] :  (m1_subset_1(B, k1_rcomp_1(k5_ordinal1, 1)) => r2_hidden(k4_xxreal_0(k6_xcmplx_0(1, A), B), k1_rcomp_1(k5_ordinal1, 1))) ) ) ) ).
fof(t5_fuzimpl1, axiom,  (! [A] :  (m1_subset_1(A, k1_rcomp_1(k5_ordinal1, 1)) =>  (! [B] :  (m1_subset_1(B, k1_rcomp_1(k5_ordinal1, 1)) =>  ( ~ ( (r1_xxreal_0(A, k5_ordinal1) & r1_xxreal_0(B, k5_ordinal1)) )  => r2_hidden(k2_power(B, A), k1_rcomp_1(k5_ordinal1, 1))) ) ) ) ) ).
fof(t6_fuzimpl1, axiom,  (! [A] :  (m1_subset_1(A, k1_rcomp_1(k5_ordinal1, 1)) =>  (! [B] :  (m1_subset_1(B, k1_rcomp_1(k5_ordinal1, 1)) =>  ( ~ (r1_xxreal_0(A, B))  => r2_tarski(k7_xcmplx_0(B, A), k1_rcomp_1(k5_ordinal1, 1))) ) ) ) ) ).
fof(d1_fuzimpl1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) )  =>  (v1_fuzimpl1(A) <=>  (! [B] :  (m1_subset_1(B, k1_rcomp_1(k5_ordinal1, 1)) =>  (! [C] :  (m1_subset_1(C, k1_rcomp_1(k5_ordinal1, 1)) =>  (! [D] :  (m1_subset_1(D, k1_rcomp_1(k5_ordinal1, 1)) =>  (r1_xxreal_0(B, C) => r1_xxreal_0(k4_binop_1(k1_rcomp_1(k5_ordinal1, 1), A, C, D), k4_binop_1(k1_rcomp_1(k5_ordinal1, 1), A, B, D))) ) ) ) ) ) ) ) ) ) ).
fof(d2_fuzimpl1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) )  =>  (v2_fuzimpl1(A) <=>  (! [B] :  (m1_subset_1(B, k1_rcomp_1(k5_ordinal1, 1)) =>  (! [C] :  (m1_subset_1(C, k1_rcomp_1(k5_ordinal1, 1)) =>  (! [D] :  (m1_subset_1(D, k1_rcomp_1(k5_ordinal1, 1)) =>  (r1_xxreal_0(C, D) => r1_xxreal_0(k4_binop_1(k1_rcomp_1(k5_ordinal1, 1), A, B, C), k4_binop_1(k1_rcomp_1(k5_ordinal1, 1), A, B, D))) ) ) ) ) ) ) ) ) ) ).
fof(d3_fuzimpl1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) )  =>  (v3_fuzimpl1(A) <=> k1_binop_1(A, k5_ordinal1, k5_ordinal1)=1) ) ) ).
fof(d4_fuzimpl1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) )  =>  (v4_fuzimpl1(A) <=> k1_binop_1(A, 1, 1)=1) ) ) ).
fof(d5_fuzimpl1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) )  =>  (v5_fuzimpl1(A) <=> k1_binop_1(A, 1, k5_ordinal1)=k5_ordinal1) ) ) ).
fof(d6_fuzimpl1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) )  =>  (v6_fuzimpl1(A) <=> k1_binop_1(A, k5_ordinal1, 1)=1) ) ) ).
fof(d7_fuzimpl1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) )  =>  (v7_fuzimpl1(A) <=>  (v1_fuzimpl1(A) &  (v2_fuzimpl1(A) &  (v3_fuzimpl1(A) &  (v4_fuzimpl1(A) & v5_fuzimpl1(A)) ) ) ) ) ) ) ).
fof(d8_fuzimpl1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) )  =>  (v8_fuzimpl1(A) <=>  (v3_fuzimpl1(A) &  (v6_fuzimpl1(A) &  (v4_fuzimpl1(A) & v5_fuzimpl1(A)) ) ) ) ) ) ).
fof(d9_fuzimpl1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) )  =>  (A=k1_fuzimpl1 <=>  (! [B] :  (m1_subset_1(B, k1_rcomp_1(k5_ordinal1, 1)) =>  (! [C] :  (m1_subset_1(C, k1_rcomp_1(k5_ordinal1, 1)) => k4_binop_1(k1_rcomp_1(k5_ordinal1, 1), A, B, C)=k4_xxreal_0(k6_xcmplx_0(1, B), k3_xxreal_0(B, C))) ) ) ) ) ) ) ).
fof(d10_fuzimpl1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) )  =>  (A=k2_fuzimpl1 <=>  (! [B] :  (m1_subset_1(B, k1_rcomp_1(k5_ordinal1, 1)) =>  (! [C] :  (m1_subset_1(C, k1_rcomp_1(k5_ordinal1, 1)) => k4_binop_1(k1_rcomp_1(k5_ordinal1, 1), A, B, C)=k4_xxreal_0(C, k3_xxreal_0(k6_xcmplx_0(1, B), k6_xcmplx_0(1, C)))) ) ) ) ) ) ) ).
fof(d11_fuzimpl1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) )  =>  (A=k3_fuzimpl1 <=>  (! [B] :  (m1_subset_1(B, k1_rcomp_1(k5_ordinal1, 1)) =>  (! [C] :  (m1_subset_1(C, k1_rcomp_1(k5_ordinal1, 1)) =>  ( ( ~ (r1_xxreal_0(1, C))  => k4_binop_1(k1_rcomp_1(k5_ordinal1, 1), A, B, C)=k5_ordinal1)  &  (C=1 => k4_binop_1(k1_rcomp_1(k5_ordinal1, 1), A, B, C)=1) ) ) ) ) ) ) ) ) ).
fof(d12_fuzimpl1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) )  =>  (A=k4_fuzimpl1 <=>  (! [B] :  (m1_subset_1(B, k1_rcomp_1(k5_ordinal1, 1)) =>  (! [C] :  (m1_subset_1(C, k1_rcomp_1(k5_ordinal1, 1)) =>  ( (B=k5_ordinal1 => k4_binop_1(k1_rcomp_1(k5_ordinal1, 1), A, B, C)=1)  &  ( ~ (r1_xxreal_0(B, k5_ordinal1))  => k4_binop_1(k1_rcomp_1(k5_ordinal1, 1), A, B, C)=k5_ordinal1) ) ) ) ) ) ) ) ) ).
fof(d13_fuzimpl1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) )  =>  (A=k5_fuzimpl1 <=>  (! [B] :  (m1_subset_1(B, k1_rcomp_1(k5_ordinal1, 1)) =>  (! [C] :  (m1_subset_1(C, k1_rcomp_1(k5_ordinal1, 1)) => k4_binop_1(k1_rcomp_1(k5_ordinal1, 1), A, B, C)=1) ) ) ) ) ) ) ).
fof(d14_fuzimpl1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) )  =>  (A=k6_fuzimpl1 <=>  (! [B] :  (m1_subset_1(B, k1_rcomp_1(k5_ordinal1, 1)) =>  (! [C] :  (m1_subset_1(C, k1_rcomp_1(k5_ordinal1, 1)) => k4_binop_1(k1_rcomp_1(k5_ordinal1, 1), A, B, C)=k3_xxreal_0(1, k2_xcmplx_0(k6_xcmplx_0(1, B), C))) ) ) ) ) ) ) ).
fof(d16_fuzimpl1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) )  =>  (A=k8_fuzimpl1 <=>  (! [B] :  (m1_subset_1(B, k1_rcomp_1(k5_ordinal1, 1)) =>  (! [C] :  (m1_subset_1(C, k1_rcomp_1(k5_ordinal1, 1)) =>  ( (r1_xxreal_0(B, C) => k4_binop_1(k1_rcomp_1(k5_ordinal1, 1), A, B, C)=1)  &  ( ~ (r1_xxreal_0(B, C))  => k4_binop_1(k1_rcomp_1(k5_ordinal1, 1), A, B, C)=C) ) ) ) ) ) ) ) ) ).
fof(d17_fuzimpl1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) )  =>  (A=k9_fuzimpl1 <=>  (! [B] :  (m1_subset_1(B, k1_rcomp_1(k5_ordinal1, 1)) =>  (! [C] :  (m1_subset_1(C, k1_rcomp_1(k5_ordinal1, 1)) => k4_binop_1(k1_rcomp_1(k5_ordinal1, 1), A, B, C)=k2_xcmplx_0(k6_xcmplx_0(1, B), k3_xcmplx_0(B, C))) ) ) ) ) ) ) ).
fof(d18_fuzimpl1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) )  =>  (A=k10_fuzimpl1 <=>  (! [B] :  (m1_subset_1(B, k1_rcomp_1(k5_ordinal1, 1)) =>  (! [C] :  (m1_subset_1(C, k1_rcomp_1(k5_ordinal1, 1)) => k4_binop_1(k1_rcomp_1(k5_ordinal1, 1), A, B, C)=k4_xxreal_0(k6_xcmplx_0(1, B), C)) ) ) ) ) ) ) ).
fof(d19_fuzimpl1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) )  =>  (A=k11_fuzimpl1 <=>  (! [B] :  (m1_subset_1(B, k1_rcomp_1(k5_ordinal1, 1)) =>  (! [C] :  (m1_subset_1(C, k1_rcomp_1(k5_ordinal1, 1)) =>  ( (r1_xxreal_0(B, C) => k4_binop_1(k1_rcomp_1(k5_ordinal1, 1), A, B, C)=1)  &  ( ~ (r1_xxreal_0(B, C))  => k4_binop_1(k1_rcomp_1(k5_ordinal1, 1), A, B, C)=k7_xcmplx_0(C, B)) ) ) ) ) ) ) ) ) ).
fof(d20_fuzimpl1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) )  =>  (A=k12_fuzimpl1 <=>  (! [B] :  (m1_subset_1(B, k1_rcomp_1(k5_ordinal1, 1)) =>  (! [C] :  (m1_subset_1(C, k1_rcomp_1(k5_ordinal1, 1)) =>  ( (r1_xxreal_0(B, C) => k4_binop_1(k1_rcomp_1(k5_ordinal1, 1), A, B, C)=1)  &  ( ~ (r1_xxreal_0(B, C))  => k4_binop_1(k1_rcomp_1(k5_ordinal1, 1), A, B, C)=k5_ordinal1) ) ) ) ) ) ) ) ) ).
fof(d21_fuzimpl1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) )  =>  (A=k13_fuzimpl1 <=>  (! [B] :  (m1_subset_1(B, k1_rcomp_1(k5_ordinal1, 1)) =>  (! [C] :  (m1_subset_1(C, k1_rcomp_1(k5_ordinal1, 1)) =>  ( ( (B=C & C=k5_ordinal1)  => k4_binop_1(k1_rcomp_1(k5_ordinal1, 1), A, B, C)=1)  &  ( ~ ( (r1_xxreal_0(B, k5_ordinal1) & r1_xxreal_0(C, k5_ordinal1)) )  => k4_binop_1(k1_rcomp_1(k5_ordinal1, 1), A, B, C)=k2_power(C, B)) ) ) ) ) ) ) ) ) ).
fof(d22_fuzimpl1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) )  =>  (A=k14_fuzimpl1 <=>  (! [B] :  (m1_subset_1(B, k1_rcomp_1(k5_ordinal1, 1)) =>  (! [C] :  (m1_subset_1(C, k1_rcomp_1(k5_ordinal1, 1)) =>  ( ( ~ (r1_xxreal_0(1, B))  => k4_binop_1(k1_rcomp_1(k5_ordinal1, 1), A, B, C)=1)  &  (B=1 => k4_binop_1(k1_rcomp_1(k5_ordinal1, 1), A, B, C)=C) ) ) ) ) ) ) ) ) ).
fof(d23_fuzimpl1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) )  =>  (A=k15_fuzimpl1 <=>  (! [B] :  (m1_subset_1(B, k1_rcomp_1(k5_ordinal1, 1)) =>  (! [C] :  (m1_subset_1(C, k1_rcomp_1(k5_ordinal1, 1)) =>  ( (r1_xxreal_0(B, C) => k4_binop_1(k1_rcomp_1(k5_ordinal1, 1), A, B, C)=1)  &  ( ~ (r1_xxreal_0(B, C))  => k4_binop_1(k1_rcomp_1(k5_ordinal1, 1), A, B, C)=k4_xxreal_0(k6_xcmplx_0(1, B), C)) ) ) ) ) ) ) ) ) ).
fof(d24_fuzimpl1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) )  =>  (A=k16_fuzimpl1 <=>  (! [B] :  (m1_subset_1(B, k1_rcomp_1(k5_ordinal1, 1)) =>  (! [C] :  (m1_subset_1(C, k1_rcomp_1(k5_ordinal1, 1)) =>  ( ( (B=k5_ordinal1 | C=1)  => k4_binop_1(k1_rcomp_1(k5_ordinal1, 1), A, B, C)=1)  &  ~ ( ( ~ (r1_xxreal_0(B, k5_ordinal1))  &  ( ~ (r1_xxreal_0(1, C))  &  ~ (k4_binop_1(k1_rcomp_1(k5_ordinal1, 1), A, B, C)=k5_ordinal1) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d25_fuzimpl1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) )  =>  (A=k17_fuzimpl1 <=>  (! [B] :  (m1_subset_1(B, k1_rcomp_1(k5_ordinal1, 1)) =>  (! [C] :  (m1_subset_1(C, k1_rcomp_1(k5_ordinal1, 1)) =>  ( ( ~ ( (r1_xxreal_0(1, B) & r1_xxreal_0(C, k5_ordinal1)) )  => k4_binop_1(k1_rcomp_1(k5_ordinal1, 1), A, B, C)=1)  &  ( (B=1 & C=k5_ordinal1)  => k4_binop_1(k1_rcomp_1(k5_ordinal1, 1), A, B, C)=k5_ordinal1) ) ) ) ) ) ) ) ) ).
fof(d26_fuzimpl1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) )  =>  (v9_fuzimpl1(A) <=>  (! [B] :  (m1_subset_1(B, k1_rcomp_1(k5_ordinal1, 1)) => k1_binop_1(A, k5_ordinal1, B)=1) ) ) ) ) ).
fof(d27_fuzimpl1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) )  =>  (v10_fuzimpl1(A) <=>  (! [B] :  (m1_subset_1(B, k1_rcomp_1(k5_ordinal1, 1)) => k1_binop_1(A, B, 1)=1) ) ) ) ) ).
fof(t7_fuzimpl1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) &  (v1_fuzimpl1(A) &  (v2_fuzimpl1(A) &  (v3_fuzimpl1(A) &  (v4_fuzimpl1(A) &  (v5_fuzimpl1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_rcomp_1(k5_ordinal1, 1)) => k1_binop_1(A, k5_ordinal1, B)=1) ) ) ) ).
fof(t8_fuzimpl1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) &  (v1_fuzimpl1(A) &  (v2_fuzimpl1(A) &  (v3_fuzimpl1(A) &  (v4_fuzimpl1(A) &  (v5_fuzimpl1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_rcomp_1(k5_ordinal1, 1)) => k1_binop_1(A, B, 1)=1) ) ) ) ).
fof(t9_fuzimpl1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) &  (v1_fuzimpl1(A) &  (v2_fuzimpl1(A) &  (v3_fuzimpl1(A) &  (v4_fuzimpl1(A) &  (v5_fuzimpl1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) ) ) ) ) ) )  => r1_fuznorm1(k16_fuzimpl1, A)) ) ).
fof(t10_fuzimpl1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) &  (v1_fuzimpl1(A) &  (v2_fuzimpl1(A) &  (v3_fuzimpl1(A) &  (v4_fuzimpl1(A) &  (v5_fuzimpl1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) ) ) ) ) ) )  => r1_fuznorm1(A, k17_fuzimpl1)) ) ).
fof(dt_k1_fuzimpl1, axiom,  (v1_funct_1(k1_fuzimpl1) &  (v1_funct_2(k1_fuzimpl1, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(k1_fuzimpl1, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) ) ).
fof(dt_k2_fuzimpl1, axiom,  (v1_funct_1(k2_fuzimpl1) &  (v1_funct_2(k2_fuzimpl1, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(k2_fuzimpl1, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) ) ).
fof(dt_k3_fuzimpl1, axiom,  (v1_funct_1(k3_fuzimpl1) &  (v1_funct_2(k3_fuzimpl1, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(k3_fuzimpl1, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) ) ).
fof(dt_k4_fuzimpl1, axiom,  (v1_funct_1(k4_fuzimpl1) &  (v1_funct_2(k4_fuzimpl1, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(k4_fuzimpl1, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) ) ).
fof(dt_k5_fuzimpl1, axiom,  (v1_funct_1(k5_fuzimpl1) &  (v1_funct_2(k5_fuzimpl1, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(k5_fuzimpl1, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) ) ).
fof(dt_k6_fuzimpl1, axiom,  (v1_funct_1(k6_fuzimpl1) &  (v1_funct_2(k6_fuzimpl1, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(k6_fuzimpl1, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) ) ).
fof(dt_k8_fuzimpl1, axiom,  (v1_funct_1(k8_fuzimpl1) &  (v1_funct_2(k8_fuzimpl1, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(k8_fuzimpl1, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) ) ).
fof(dt_k9_fuzimpl1, axiom,  (v1_funct_1(k9_fuzimpl1) &  (v1_funct_2(k9_fuzimpl1, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(k9_fuzimpl1, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) ) ).
fof(dt_k10_fuzimpl1, axiom,  (v1_funct_1(k10_fuzimpl1) &  (v1_funct_2(k10_fuzimpl1, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(k10_fuzimpl1, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) ) ).
fof(dt_k11_fuzimpl1, axiom,  (v1_funct_1(k11_fuzimpl1) &  (v1_funct_2(k11_fuzimpl1, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(k11_fuzimpl1, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) ) ).
fof(dt_k12_fuzimpl1, axiom,  (v1_funct_1(k12_fuzimpl1) &  (v1_funct_2(k12_fuzimpl1, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(k12_fuzimpl1, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) ) ).
fof(dt_k13_fuzimpl1, axiom,  (v1_funct_1(k13_fuzimpl1) &  (v1_funct_2(k13_fuzimpl1, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(k13_fuzimpl1, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) ) ).
fof(dt_k14_fuzimpl1, axiom,  (v1_funct_1(k14_fuzimpl1) &  (v1_funct_2(k14_fuzimpl1, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(k14_fuzimpl1, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) ) ).
fof(dt_k15_fuzimpl1, axiom,  (v1_funct_1(k15_fuzimpl1) &  (v1_funct_2(k15_fuzimpl1, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(k15_fuzimpl1, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) ) ).
fof(dt_k16_fuzimpl1, axiom,  (v1_funct_1(k16_fuzimpl1) &  (v1_funct_2(k16_fuzimpl1, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(k16_fuzimpl1, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) ) ).
fof(dt_k17_fuzimpl1, axiom,  (v1_funct_1(k17_fuzimpl1) &  (v1_funct_2(k17_fuzimpl1, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) & m1_subset_1(k17_fuzimpl1, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) ) ).
fof(d15_fuzimpl1, axiom, k7_fuzimpl1=a_0_0_fuzimpl1).
fof(fraenkel_a_0_0_fuzimpl1, axiom,  (! [A] :  (r2_hidden(A, a_0_0_fuzimpl1) <=>  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1)) &  (v1_fuzimpl1(B) &  (v2_fuzimpl1(B) &  (v3_fuzimpl1(B) &  (v4_fuzimpl1(B) &  (v5_fuzimpl1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_ordinal1, 1), k1_rcomp_1(k5_ordinal1, 1)), k1_rcomp_1(k5_ordinal1, 1))))) ) ) ) ) ) )  & A=B) ) ) ) ).
fof(fc1_fuznorm1, axiom,  ~ (v1_xboole_0(k1_xxreal_1(k5_numbers, 1))) ).
fof(fc2_fuznorm1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) )  &  (v1_xreal_0(B) & v1_xreal_0(C)) )  => v1_xreal_0(k1_binop_1(A, B, C))) ) ).
fof(fc3_fuznorm1, axiom,  (v1_funct_1(k1_fuznorm1) &  (v1_funct_2(k1_fuznorm1, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) &  (v1_binop_1(k1_fuznorm1, k1_rcomp_1(k5_numbers, 1)) &  (v2_binop_1(k1_fuznorm1, k1_rcomp_1(k5_numbers, 1)) &  (v1_fuznorm1(k1_fuznorm1, k1_rcomp_1(k5_numbers, 1)) & v2_fuznorm1(k1_fuznorm1, k1_rcomp_1(k5_numbers, 1))) ) ) ) ) ).
fof(rc1_fuznorm1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)))) &  (v1_relat_1(A) &  (v4_relat_1(A, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1))) &  (v5_relat_1(A, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(A) &  (v1_partfun1(A, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1))) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) &  (v1_binop_1(A, k1_rcomp_1(k5_numbers, 1)) &  (v2_binop_1(A, k1_rcomp_1(k5_numbers, 1)) &  (v1_fuznorm1(A, k1_rcomp_1(k5_numbers, 1)) & v2_fuznorm1(A, k1_rcomp_1(k5_numbers, 1))) ) ) ) ) ) ) ) ) ) ) ).
fof(fc4_fuznorm1, axiom,  (v1_funct_1(k2_fuznorm1) &  (v1_funct_2(k2_fuznorm1, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) &  (v1_binop_1(k2_fuznorm1, k1_rcomp_1(k5_numbers, 1)) &  (v2_binop_1(k2_fuznorm1, k1_rcomp_1(k5_numbers, 1)) &  (v1_fuznorm1(k2_fuznorm1, k1_rcomp_1(k5_numbers, 1)) & v4_fuznorm1(k2_fuznorm1, k1_rcomp_1(k5_numbers, 1))) ) ) ) ) ).
fof(rc2_fuznorm1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)))) &  (v1_relat_1(A) &  (v4_relat_1(A, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1))) &  (v5_relat_1(A, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(A) &  (v1_partfun1(A, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1))) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) &  (v1_binop_1(A, k1_rcomp_1(k5_numbers, 1)) &  (v2_binop_1(A, k1_rcomp_1(k5_numbers, 1)) &  (v1_fuznorm1(A, k1_rcomp_1(k5_numbers, 1)) & v4_fuznorm1(A, k1_rcomp_1(k5_numbers, 1))) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_fuznorm1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)))) =>  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) &  (v1_binop_1(A, k1_rcomp_1(k5_numbers, 1)) &  (v1_fuznorm1(A, k1_rcomp_1(k5_numbers, 1)) & v2_fuznorm1(A, k1_rcomp_1(k5_numbers, 1))) ) ) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) &  (v1_binop_1(A, k1_rcomp_1(k5_numbers, 1)) &  (v1_fuznorm1(A, k1_rcomp_1(k5_numbers, 1)) &  (v2_fuznorm1(A, k1_rcomp_1(k5_numbers, 1)) & v5_fuznorm1(A, k1_rcomp_1(k5_numbers, 1))) ) ) ) ) ) ) ) ).
fof(cc2_fuznorm1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)))) =>  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) &  (v1_binop_1(A, k1_rcomp_1(k5_numbers, 1)) &  (v1_fuznorm1(A, k1_rcomp_1(k5_numbers, 1)) & v4_fuznorm1(A, k1_rcomp_1(k5_numbers, 1))) ) ) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) &  (v1_binop_1(A, k1_rcomp_1(k5_numbers, 1)) &  (v1_fuznorm1(A, k1_rcomp_1(k5_numbers, 1)) &  (v3_fuznorm1(A, k1_rcomp_1(k5_numbers, 1)) & v4_fuznorm1(A, k1_rcomp_1(k5_numbers, 1))) ) ) ) ) ) ) ) ).
fof(fc5_fuznorm1, axiom,  (v1_funct_1(k3_fuznorm1) &  (v1_funct_2(k3_fuznorm1, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) &  (v1_binop_1(k3_fuznorm1, k1_rcomp_1(k5_numbers, 1)) &  (v2_binop_1(k3_fuznorm1, k1_rcomp_1(k5_numbers, 1)) &  (v1_fuznorm1(k3_fuznorm1, k1_rcomp_1(k5_numbers, 1)) & v2_fuznorm1(k3_fuznorm1, k1_rcomp_1(k5_numbers, 1))) ) ) ) ) ).
fof(fc6_fuznorm1, axiom,  (v1_funct_1(k5_fuznorm1) &  (v1_funct_2(k5_fuznorm1, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) &  (v1_binop_1(k5_fuznorm1, k1_rcomp_1(k5_numbers, 1)) &  (v2_binop_1(k5_fuznorm1, k1_rcomp_1(k5_numbers, 1)) &  (v1_fuznorm1(k5_fuznorm1, k1_rcomp_1(k5_numbers, 1)) & v2_fuznorm1(k5_fuznorm1, k1_rcomp_1(k5_numbers, 1))) ) ) ) ) ).
fof(fc7_fuznorm1, axiom,  (v1_funct_1(k6_fuznorm1) &  (v1_funct_2(k6_fuznorm1, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) &  (v1_binop_1(k6_fuznorm1, k1_rcomp_1(k5_numbers, 1)) &  (v2_binop_1(k6_fuznorm1, k1_rcomp_1(k5_numbers, 1)) &  (v1_fuznorm1(k6_fuznorm1, k1_rcomp_1(k5_numbers, 1)) & v2_fuznorm1(k6_fuznorm1, k1_rcomp_1(k5_numbers, 1))) ) ) ) ) ).
fof(fc8_fuznorm1, axiom,  (v1_funct_1(k7_fuznorm1) &  (v1_funct_2(k7_fuznorm1, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) &  (v1_binop_1(k7_fuznorm1, k1_rcomp_1(k5_numbers, 1)) &  (v2_binop_1(k7_fuznorm1, k1_rcomp_1(k5_numbers, 1)) &  (v1_fuznorm1(k7_fuznorm1, k1_rcomp_1(k5_numbers, 1)) & v2_fuznorm1(k7_fuznorm1, k1_rcomp_1(k5_numbers, 1))) ) ) ) ) ).
fof(fc9_fuznorm1, axiom,  (v1_funct_1(k8_fuznorm1) &  (v1_funct_2(k8_fuznorm1, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) &  (v1_binop_1(k8_fuznorm1, k1_rcomp_1(k5_numbers, 1)) &  (v2_binop_1(k8_fuznorm1, k1_rcomp_1(k5_numbers, 1)) &  (v1_fuznorm1(k8_fuznorm1, k1_rcomp_1(k5_numbers, 1)) & v2_fuznorm1(k8_fuznorm1, k1_rcomp_1(k5_numbers, 1))) ) ) ) ) ).
fof(fc10_fuznorm1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) &  (v1_binop_1(A, k1_rcomp_1(k5_numbers, 1)) &  (v2_binop_1(A, k1_rcomp_1(k5_numbers, 1)) &  (v1_fuznorm1(A, k1_rcomp_1(k5_numbers, 1)) &  (v2_fuznorm1(A, k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) ) ) ) ) )  =>  (v1_funct_1(k10_fuznorm1(A)) &  (v1_funct_2(k10_fuznorm1(A), k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) &  (v1_binop_1(k10_fuznorm1(A), k1_rcomp_1(k5_numbers, 1)) &  (v2_binop_1(k10_fuznorm1(A), k1_rcomp_1(k5_numbers, 1)) &  (v1_fuznorm1(k10_fuznorm1(A), k1_rcomp_1(k5_numbers, 1)) & v4_fuznorm1(k10_fuznorm1(A), k1_rcomp_1(k5_numbers, 1))) ) ) ) ) ) ) ).
fof(fc11_fuznorm1, axiom,  (v1_funct_1(k11_fuznorm1) &  (v1_funct_2(k11_fuznorm1, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) &  (v1_binop_1(k11_fuznorm1, k1_rcomp_1(k5_numbers, 1)) &  (v2_binop_1(k11_fuznorm1, k1_rcomp_1(k5_numbers, 1)) &  (v1_fuznorm1(k11_fuznorm1, k1_rcomp_1(k5_numbers, 1)) & v4_fuznorm1(k11_fuznorm1, k1_rcomp_1(k5_numbers, 1))) ) ) ) ) ).
fof(fc12_fuznorm1, axiom,  (v1_funct_1(k4_fuznorm1) &  (v1_funct_2(k4_fuznorm1, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) &  (v1_binop_1(k4_fuznorm1, k1_rcomp_1(k5_numbers, 1)) &  (v2_binop_1(k4_fuznorm1, k1_rcomp_1(k5_numbers, 1)) &  (v1_fuznorm1(k4_fuznorm1, k1_rcomp_1(k5_numbers, 1)) & v4_fuznorm1(k4_fuznorm1, k1_rcomp_1(k5_numbers, 1))) ) ) ) ) ).
fof(fc13_fuznorm1, axiom,  (v1_funct_1(k12_fuznorm1) &  (v1_funct_2(k12_fuznorm1, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) &  (v1_binop_1(k12_fuznorm1, k1_rcomp_1(k5_numbers, 1)) &  (v2_binop_1(k12_fuznorm1, k1_rcomp_1(k5_numbers, 1)) &  (v1_fuznorm1(k12_fuznorm1, k1_rcomp_1(k5_numbers, 1)) & v4_fuznorm1(k12_fuznorm1, k1_rcomp_1(k5_numbers, 1))) ) ) ) ) ).
fof(fc14_fuznorm1, axiom,  (v1_funct_1(k13_fuznorm1) &  (v1_funct_2(k13_fuznorm1, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) &  (v1_binop_1(k13_fuznorm1, k1_rcomp_1(k5_numbers, 1)) &  (v2_binop_1(k13_fuznorm1, k1_rcomp_1(k5_numbers, 1)) &  (v1_fuznorm1(k13_fuznorm1, k1_rcomp_1(k5_numbers, 1)) & v4_fuznorm1(k13_fuznorm1, k1_rcomp_1(k5_numbers, 1))) ) ) ) ) ).
fof(t1_fuznorm1, axiom,  (! [A] :  (m2_subset_1(A, k1_numbers, k1_rcomp_1(k5_numbers, 1)) =>  (! [B] :  (m2_subset_1(B, k1_numbers, k1_rcomp_1(k5_numbers, 1)) => r2_hidden(k3_xxreal_0(A, B), k1_rcomp_1(k5_numbers, 1))) ) ) ) ).
fof(t2_fuznorm1, axiom,  (! [A] :  (m2_subset_1(A, k1_numbers, k1_rcomp_1(k5_numbers, 1)) =>  (! [B] :  (m2_subset_1(B, k1_numbers, k1_rcomp_1(k5_numbers, 1)) => r2_hidden(k4_xxreal_0(A, B), k1_rcomp_1(k5_numbers, 1))) ) ) ) ).
fof(t3_fuznorm1, axiom,  (! [A] :  (m2_subset_1(A, k1_numbers, k1_rcomp_1(k5_numbers, 1)) =>  (! [B] :  (m2_subset_1(B, k1_numbers, k1_rcomp_1(k5_numbers, 1)) => r2_tarski(k4_real_1(A, B), k1_rcomp_1(k5_numbers, 1))) ) ) ) ).
fof(t4_fuznorm1, axiom,  (! [A] :  (m2_subset_1(A, k1_numbers, k1_rcomp_1(k5_numbers, 1)) =>  (! [B] :  (m2_subset_1(B, k1_numbers, k1_rcomp_1(k5_numbers, 1)) => r2_hidden(k4_xxreal_0(k5_numbers, k6_xcmplx_0(k3_real_1(A, B), 1)), k1_rcomp_1(k5_numbers, 1))) ) ) ) ).
fof(t5_fuznorm1, axiom,  (! [A] :  (m2_subset_1(A, k1_numbers, k1_rcomp_1(k5_numbers, 1)) =>  (! [B] :  (m2_subset_1(B, k1_numbers, k1_rcomp_1(k5_numbers, 1)) => r2_hidden(k3_xxreal_0(k3_real_1(A, B), 1), k1_rcomp_1(k5_numbers, 1))) ) ) ) ).
fof(t6_fuznorm1, axiom,  (! [A] :  (m2_subset_1(A, k1_numbers, k1_rcomp_1(k5_numbers, 1)) =>  (! [B] :  (m2_subset_1(B, k1_numbers, k1_rcomp_1(k5_numbers, 1)) =>  (! [C] :  (m2_subset_1(C, k1_numbers, k1_rcomp_1(k5_numbers, 1)) => k4_xxreal_0(k5_numbers, k6_xcmplx_0(k2_xcmplx_0(k4_xxreal_0(k5_numbers, k6_xcmplx_0(k3_real_1(A, B), 1)), C), 1))=k4_xxreal_0(k5_numbers, k6_xcmplx_0(k2_xcmplx_0(A, k4_xxreal_0(k5_numbers, k6_xcmplx_0(k3_real_1(B, C), 1))), 1))) ) ) ) ) ) ).
fof(t7_fuznorm1, axiom,  (! [A] :  (m2_subset_1(A, k1_numbers, k1_rcomp_1(k5_numbers, 1)) => r2_tarski(k6_xcmplx_0(1, A), k1_rcomp_1(k5_numbers, 1))) ) ).
fof(t8_fuznorm1, axiom,  (! [A] :  (m2_subset_1(A, k1_numbers, k1_rcomp_1(k5_numbers, 1)) =>  (! [B] :  (m2_subset_1(B, k1_numbers, k1_rcomp_1(k5_numbers, 1)) => r2_tarski(k5_real_1(k3_real_1(A, B), k4_real_1(A, B)), k1_rcomp_1(k5_numbers, 1))) ) ) ) ).
fof(t9_fuznorm1, axiom,  (! [A] :  (m2_subset_1(A, k1_numbers, k1_rcomp_1(k5_numbers, 1)) =>  (! [B] :  (m2_subset_1(B, k1_numbers, k1_rcomp_1(k5_numbers, 1)) => r2_tarski(k6_real_1(k4_real_1(A, B), k5_real_1(k3_real_1(A, B), k4_real_1(A, B))), k1_rcomp_1(k5_numbers, 1))) ) ) ) ).
fof(t10_fuznorm1, axiom,  (! [A] :  (m2_subset_1(A, k1_numbers, k1_rcomp_1(k5_numbers, 1)) =>  (! [B] :  (m2_subset_1(B, k1_numbers, k1_rcomp_1(k5_numbers, 1)) =>  ( ~ (k4_xxreal_0(A, B)=1)  =>  ( ~ (A=1)  &  ~ (B=1) ) ) ) ) ) ) ).
fof(t11_fuznorm1, axiom,  (! [A] :  (m2_subset_1(A, k1_numbers, k1_rcomp_1(k5_numbers, 1)) =>  (! [B] :  (m2_subset_1(B, k1_numbers, k1_rcomp_1(k5_numbers, 1)) =>  (k4_real_1(A, B)=k3_real_1(A, B) => A=k5_numbers) ) ) ) ) ).
fof(t12_fuznorm1, axiom,  (! [A] :  (m2_subset_1(A, k1_numbers, k1_rcomp_1(k5_numbers, 1)) =>  (! [B] :  (m2_subset_1(B, k1_numbers, k1_rcomp_1(k5_numbers, 1)) => k4_xxreal_0(A, B)=k6_xcmplx_0(1, k3_xxreal_0(k6_xcmplx_0(1, A), k6_xcmplx_0(1, B)))) ) ) ) ).
fof(t13_fuznorm1, axiom,  (! [A] :  (m2_subset_1(A, k1_numbers, k1_rcomp_1(k5_numbers, 1)) =>  (! [B] :  (m2_subset_1(B, k1_numbers, k1_rcomp_1(k5_numbers, 1)) => k3_xxreal_0(k3_real_1(A, B), 1)=k6_xcmplx_0(1, k4_xxreal_0(k5_numbers, k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(1, A), k6_xcmplx_0(1, B)), 1)))) ) ) ) ).
fof(t14_fuznorm1, axiom,  (! [A] :  (m2_subset_1(A, k1_numbers, k1_rcomp_1(k5_numbers, 1)) =>  (! [B] :  (m2_subset_1(B, k1_numbers, k1_rcomp_1(k5_numbers, 1)) => r2_tarski(k7_xcmplx_0(k6_xcmplx_0(k3_real_1(A, B), k3_xcmplx_0(k3_xcmplx_0(2, A), B)), k6_xcmplx_0(1, k4_real_1(A, B))), k1_rcomp_1(k5_numbers, 1))) ) ) ) ).
fof(t15_fuznorm1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) )  => r2_tarski(k1_binop_1(C, A, B), k1_rcomp_1(k5_numbers, 1))) ) ) ) ) ) ).
fof(t16_fuznorm1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) => r2_tarski(k6_xcmplx_0(1, k1_binop_1(A, k6_xcmplx_0(1, B), k6_xcmplx_0(1, C))), k1_rcomp_1(k5_numbers, 1))) ) ) ) ) ) ).
fof(t17_fuznorm1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (r1_xxreal_0(C, k5_numbers) =>  (k3_xcmplx_0(C, k3_xxreal_0(A, B))=k4_xxreal_0(k3_xcmplx_0(C, A), k3_xcmplx_0(C, B)) & k3_xcmplx_0(C, k4_xxreal_0(A, B))=k3_xxreal_0(k3_xcmplx_0(C, A), k3_xcmplx_0(C, B))) ) ) ) ) ) ) ) ).
fof(d1_fuznorm1, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v1_fuznorm1(B, A) <=>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  ( (r1_xxreal_0(C, E) & r1_xxreal_0(D, F))  => r1_xxreal_0(k4_binop_1(A, B, C, D), k4_binop_1(A, B, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_fuznorm1, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v2_fuznorm1(B, A) <=>  (! [C] :  (m1_subset_1(C, A) => k1_binop_1(B, C, 1)=C) ) ) ) ) ) ) ).
fof(d3_fuznorm1, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v3_fuznorm1(B, A) <=>  (! [C] :  (m1_subset_1(C, A) => k1_binop_1(B, C, 1)=1) ) ) ) ) ) ) ).
fof(d4_fuznorm1, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v4_fuznorm1(B, A) <=>  (! [C] :  (m1_subset_1(C, A) => k1_binop_1(B, C, k5_numbers)=C) ) ) ) ) ) ) ).
fof(d5_fuznorm1, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v5_fuznorm1(B, A) <=>  (! [C] :  (m1_subset_1(C, A) => k1_binop_1(B, C, k5_numbers)=k5_numbers) ) ) ) ) ) ) ).
fof(d6_fuznorm1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) )  =>  (A=k1_fuznorm1 <=>  (! [B] :  (m2_subset_1(B, k1_numbers, k1_rcomp_1(k5_numbers, 1)) =>  (! [C] :  (m2_subset_1(C, k1_numbers, k1_rcomp_1(k5_numbers, 1)) => k4_binop_1(k1_rcomp_1(k5_numbers, 1), A, B, C)=k3_xxreal_0(B, C)) ) ) ) ) ) ) ).
fof(d7_fuznorm1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) )  =>  (A=k2_fuznorm1 <=>  (! [B] :  (m2_subset_1(B, k1_numbers, k1_rcomp_1(k5_numbers, 1)) =>  (! [C] :  (m2_subset_1(C, k1_numbers, k1_rcomp_1(k5_numbers, 1)) => k4_binop_1(k1_rcomp_1(k5_numbers, 1), A, B, C)=k4_xxreal_0(B, C)) ) ) ) ) ) ) ).
fof(t18_fuznorm1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) &  (v1_binop_1(A, k1_rcomp_1(k5_numbers, 1)) &  (v1_fuznorm1(A, k1_rcomp_1(k5_numbers, 1)) &  (v2_fuznorm1(A, k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, k1_numbers, k1_rcomp_1(k5_numbers, 1)) => k1_binop_1(A, B, k5_numbers)=k5_numbers) ) ) ) ).
fof(t19_fuznorm1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) &  (v1_binop_1(A, k1_rcomp_1(k5_numbers, 1)) &  (v1_fuznorm1(A, k1_rcomp_1(k5_numbers, 1)) &  (v4_fuznorm1(A, k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, k1_numbers, k1_rcomp_1(k5_numbers, 1)) => k1_binop_1(A, B, 1)=1) ) ) ) ).
fof(d8_fuznorm1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) )  =>  (A=k3_fuznorm1 <=>  (! [B] :  (m2_subset_1(B, k1_numbers, k1_rcomp_1(k5_numbers, 1)) =>  (! [C] :  (m2_subset_1(C, k1_numbers, k1_rcomp_1(k5_numbers, 1)) => k4_binop_1(k1_rcomp_1(k5_numbers, 1), A, B, C)=k4_real_1(B, C)) ) ) ) ) ) ) ).
fof(d9_fuznorm1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) )  =>  (A=k4_fuznorm1 <=>  (! [B] :  (m2_subset_1(B, k1_numbers, k1_rcomp_1(k5_numbers, 1)) =>  (! [C] :  (m2_subset_1(C, k1_numbers, k1_rcomp_1(k5_numbers, 1)) => k4_binop_1(k1_rcomp_1(k5_numbers, 1), A, B, C)=k5_real_1(k3_real_1(B, C), k4_real_1(B, C))) ) ) ) ) ) ) ).
fof(d10_fuznorm1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) )  =>  (A=k5_fuznorm1 <=>  (! [B] :  (m2_subset_1(B, k1_numbers, k1_rcomp_1(k5_numbers, 1)) =>  (! [C] :  (m2_subset_1(C, k1_numbers, k1_rcomp_1(k5_numbers, 1)) => k4_binop_1(k1_rcomp_1(k5_numbers, 1), A, B, C)=k4_xxreal_0(k5_numbers, k6_xcmplx_0(k3_real_1(B, C), 1))) ) ) ) ) ) ) ).
fof(d11_fuznorm1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) )  =>  (A=k6_fuznorm1 <=>  (! [B] :  (m2_subset_1(B, k1_numbers, k1_rcomp_1(k5_numbers, 1)) =>  (! [C] :  (m2_subset_1(C, k1_numbers, k1_rcomp_1(k5_numbers, 1)) =>  ( (k4_xxreal_0(B, C)=1 => k4_binop_1(k1_rcomp_1(k5_numbers, 1), A, B, C)=k3_xxreal_0(B, C))  &  ( ~ (k4_xxreal_0(B, C)=1)  => k4_binop_1(k1_rcomp_1(k5_numbers, 1), A, B, C)=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(t20_fuznorm1, axiom,  (! [A] :  (m2_subset_1(A, k1_numbers, k1_rcomp_1(k5_numbers, 1)) =>  (! [B] :  (m2_subset_1(B, k1_numbers, k1_rcomp_1(k5_numbers, 1)) =>  ( (A=1 => k4_binop_1(k1_rcomp_1(k5_numbers, 1), k6_fuznorm1, A, B)=B)  &  ( (B=1 => k4_binop_1(k1_rcomp_1(k5_numbers, 1), k6_fuznorm1, A, B)=A)  &  ~ ( ( ~ (A=1)  &  ( ~ (B=1)  &  ~ (k4_binop_1(k1_rcomp_1(k5_numbers, 1), k6_fuznorm1, A, B)=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(d12_fuznorm1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) )  =>  (A=k7_fuznorm1 <=>  (! [B] :  (m2_subset_1(B, k1_numbers, k1_rcomp_1(k5_numbers, 1)) =>  (! [C] :  (m2_subset_1(C, k1_numbers, k1_rcomp_1(k5_numbers, 1)) =>  ( ( ~ (r1_xxreal_0(k3_real_1(B, C), 1))  => k4_binop_1(k1_rcomp_1(k5_numbers, 1), A, B, C)=k3_xxreal_0(B, C))  &  (r1_xxreal_0(k3_real_1(B, C), 1) => k4_binop_1(k1_rcomp_1(k5_numbers, 1), A, B, C)=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(d13_fuznorm1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) )  =>  (A=k8_fuznorm1 <=>  (! [B] :  (m2_subset_1(B, k1_numbers, k1_rcomp_1(k5_numbers, 1)) =>  (! [C] :  (m2_subset_1(C, k1_numbers, k1_rcomp_1(k5_numbers, 1)) => k4_binop_1(k1_rcomp_1(k5_numbers, 1), A, B, C)=k6_real_1(k4_real_1(B, C), k5_real_1(k3_real_1(B, C), k4_real_1(B, C)))) ) ) ) ) ) ) ).
fof(d14_fuznorm1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) )  =>  (A=k9_fuznorm1 <=>  (! [B] :  (m2_subset_1(B, k1_numbers, k1_rcomp_1(k5_numbers, 1)) =>  (! [C] :  (m2_subset_1(C, k1_numbers, k1_rcomp_1(k5_numbers, 1)) =>  ( (k3_xxreal_0(B, C)=k5_numbers => k4_binop_1(k1_rcomp_1(k5_numbers, 1), A, B, C)=k4_xxreal_0(B, C))  &  ( ~ (k3_xxreal_0(B, C)=k5_numbers)  => k4_binop_1(k1_rcomp_1(k5_numbers, 1), A, B, C)=1) ) ) ) ) ) ) ) ) ).
fof(d15_fuznorm1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) )  =>  (B=k10_fuznorm1(A) <=>  (! [C] :  (m2_subset_1(C, k1_numbers, k1_rcomp_1(k5_numbers, 1)) =>  (! [D] :  (m2_subset_1(D, k1_numbers, k1_rcomp_1(k5_numbers, 1)) => k4_binop_1(k1_rcomp_1(k5_numbers, 1), B, C, D)=k6_xcmplx_0(1, k1_binop_1(A, k6_xcmplx_0(1, C), k6_xcmplx_0(1, D)))) ) ) ) ) ) ) ) ) ).
fof(t21_fuznorm1, axiom, r2_funct_2(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1), k2_fuznorm1, k10_fuznorm1(k1_fuznorm1))).
fof(t22_fuznorm1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) )  => r2_funct_2(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1), k10_fuznorm1(k10_fuznorm1(A)), A)) ) ).
fof(d16_fuznorm1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) )  =>  (r1_fuznorm1(A, B) <=>  (! [C] :  (m2_subset_1(C, k1_numbers, k1_rcomp_1(k5_numbers, 1)) =>  (! [D] :  (m2_subset_1(D, k1_numbers, k1_rcomp_1(k5_numbers, 1)) => r1_xxreal_0(k4_binop_1(k1_rcomp_1(k5_numbers, 1), A, C, D), k4_binop_1(k1_rcomp_1(k5_numbers, 1), B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t23_fuznorm1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) &  (v1_binop_1(A, k1_rcomp_1(k5_numbers, 1)) &  (v2_binop_1(A, k1_rcomp_1(k5_numbers, 1)) &  (v1_fuznorm1(A, k1_rcomp_1(k5_numbers, 1)) &  (v2_fuznorm1(A, k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) ) ) ) ) )  => r1_fuznorm1(k6_fuznorm1, A)) ) ).
fof(t24_fuznorm1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) &  (v1_binop_1(A, k1_rcomp_1(k5_numbers, 1)) &  (v2_binop_1(A, k1_rcomp_1(k5_numbers, 1)) &  (v1_fuznorm1(A, k1_rcomp_1(k5_numbers, 1)) &  (v2_fuznorm1(A, k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) ) ) ) ) )  => r1_fuznorm1(A, k1_fuznorm1)) ) ).
fof(t25_fuznorm1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) &  (v1_binop_1(A, k1_rcomp_1(k5_numbers, 1)) &  (v2_binop_1(A, k1_rcomp_1(k5_numbers, 1)) &  (v1_fuznorm1(A, k1_rcomp_1(k5_numbers, 1)) &  (v2_fuznorm1(A, k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) &  (v1_binop_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v2_binop_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_fuznorm1(B, k1_rcomp_1(k5_numbers, 1)) &  (v2_fuznorm1(B, k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) ) ) ) ) )  =>  (r1_fuznorm1(A, B) => r1_fuznorm1(k10_fuznorm1(B), k10_fuznorm1(A))) ) ) ) ) ).
fof(d17_fuznorm1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) )  =>  (A=k11_fuznorm1 <=>  (! [B] :  (m2_subset_1(B, k1_numbers, k1_rcomp_1(k5_numbers, 1)) =>  (! [C] :  (m2_subset_1(C, k1_numbers, k1_rcomp_1(k5_numbers, 1)) =>  ( ( (B=C & C=1)  => k4_binop_1(k1_rcomp_1(k5_numbers, 1), A, B, C)=1)  &  ( ~ ( (B=1 & C=1) )  => k4_binop_1(k1_rcomp_1(k5_numbers, 1), A, B, C)=k7_xcmplx_0(k6_xcmplx_0(k3_real_1(B, C), k3_xcmplx_0(k3_xcmplx_0(2, B), C)), k6_xcmplx_0(1, k4_real_1(B, C)))) ) ) ) ) ) ) ) ) ).
fof(t26_fuznorm1, axiom, r2_funct_2(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1), k10_fuznorm1(k8_fuznorm1), k11_fuznorm1)).
fof(t27_fuznorm1, axiom, r2_funct_2(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1), k10_fuznorm1(k6_fuznorm1), k9_fuznorm1)).
fof(t28_fuznorm1, axiom, r2_funct_2(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1), k10_fuznorm1(k3_fuznorm1), k4_fuznorm1)).
fof(d18_fuznorm1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) )  =>  (A=k12_fuznorm1 <=>  (! [B] :  (m2_subset_1(B, k1_numbers, k1_rcomp_1(k5_numbers, 1)) =>  (! [C] :  (m2_subset_1(C, k1_numbers, k1_rcomp_1(k5_numbers, 1)) =>  ( ( ~ (r1_xxreal_0(1, k3_real_1(B, C)))  => k4_binop_1(k1_rcomp_1(k5_numbers, 1), A, B, C)=k4_xxreal_0(B, C))  &  (r1_xxreal_0(1, k3_real_1(B, C)) => k4_binop_1(k1_rcomp_1(k5_numbers, 1), A, B, C)=1) ) ) ) ) ) ) ) ) ).
fof(t29_fuznorm1, axiom, r2_funct_2(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1), k10_fuznorm1(k7_fuznorm1), k12_fuznorm1)).
fof(d19_fuznorm1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) )  =>  (A=k13_fuznorm1 <=>  (! [B] :  (m2_subset_1(B, k1_numbers, k1_rcomp_1(k5_numbers, 1)) =>  (! [C] :  (m2_subset_1(C, k1_numbers, k1_rcomp_1(k5_numbers, 1)) => k4_binop_1(k1_rcomp_1(k5_numbers, 1), A, B, C)=k3_xxreal_0(k3_real_1(B, C), 1)) ) ) ) ) ) ) ).
fof(t30_fuznorm1, axiom, r2_funct_2(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1), k10_fuznorm1(k5_fuznorm1), k13_fuznorm1)).
fof(t31_fuznorm1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) &  (v1_binop_1(A, k1_rcomp_1(k5_numbers, 1)) &  (v2_binop_1(A, k1_rcomp_1(k5_numbers, 1)) &  (v1_fuznorm1(A, k1_rcomp_1(k5_numbers, 1)) &  (v4_fuznorm1(A, k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) ) ) ) ) )  => r1_fuznorm1(k2_fuznorm1, A)) ) ).
fof(t32_fuznorm1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) &  (v1_binop_1(A, k1_rcomp_1(k5_numbers, 1)) &  (v2_binop_1(A, k1_rcomp_1(k5_numbers, 1)) &  (v1_fuznorm1(A, k1_rcomp_1(k5_numbers, 1)) &  (v4_fuznorm1(A, k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) ) ) ) ) )  => r1_fuznorm1(A, k9_fuznorm1)) ) ).
fof(s1_fuznorm1, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s1_fuznorm1) =>  (! [B] :  (m1_subset_1(B, f1_s1_fuznorm1) => r2_tarski(f2_s1_fuznorm1(A, B), f1_s1_fuznorm1)) ) ) )  =>  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(f1_s1_fuznorm1, f1_s1_fuznorm1), f1_s1_fuznorm1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(f1_s1_fuznorm1, f1_s1_fuznorm1), f1_s1_fuznorm1)))) )  &  (! [B] :  (m1_subset_1(B, f1_s1_fuznorm1) =>  (! [C] :  (m1_subset_1(C, f1_s1_fuznorm1) => k4_binop_1(f1_s1_fuznorm1, A, B, C)=f2_s1_fuznorm1(B, C)) ) ) ) ) ) ) ).
fof(dt_f1_s1_fuznorm1, axiom,  ( ~ (v1_xboole_0(f1_s1_fuznorm1))  & v3_membered(f1_s1_fuznorm1)) ).
fof(dt_k1_fuznorm1, axiom,  (v1_funct_1(k1_fuznorm1) &  (v1_funct_2(k1_fuznorm1, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(k1_fuznorm1, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) ) ).
fof(dt_k2_fuznorm1, axiom,  (v1_funct_1(k2_fuznorm1) &  (v1_funct_2(k2_fuznorm1, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(k2_fuznorm1, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) ) ).
fof(dt_k3_fuznorm1, axiom,  (v1_funct_1(k3_fuznorm1) &  (v1_funct_2(k3_fuznorm1, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(k3_fuznorm1, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) ) ).
fof(dt_k4_fuznorm1, axiom,  (v1_funct_1(k4_fuznorm1) &  (v1_funct_2(k4_fuznorm1, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(k4_fuznorm1, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) ) ).
fof(dt_k5_fuznorm1, axiom,  (v1_funct_1(k5_fuznorm1) &  (v1_funct_2(k5_fuznorm1, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(k5_fuznorm1, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) ) ).
fof(dt_k6_fuznorm1, axiom,  (v1_funct_1(k6_fuznorm1) &  (v1_funct_2(k6_fuznorm1, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(k6_fuznorm1, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) ) ).
fof(dt_k7_fuznorm1, axiom,  (v1_funct_1(k7_fuznorm1) &  (v1_funct_2(k7_fuznorm1, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(k7_fuznorm1, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) ) ).
fof(dt_k8_fuznorm1, axiom,  (v1_funct_1(k8_fuznorm1) &  (v1_funct_2(k8_fuznorm1, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(k8_fuznorm1, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) ) ).
fof(dt_k9_fuznorm1, axiom,  (v1_funct_1(k9_fuznorm1) &  (v1_funct_2(k9_fuznorm1, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(k9_fuznorm1, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) ) ).
fof(dt_k10_fuznorm1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) )  =>  (v1_funct_1(k10_fuznorm1(A)) &  (v1_funct_2(k10_fuznorm1(A), k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(k10_fuznorm1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) ) ) ) ).
fof(dt_k11_fuznorm1, axiom,  (v1_funct_1(k11_fuznorm1) &  (v1_funct_2(k11_fuznorm1, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(k11_fuznorm1, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) ) ).
fof(dt_k12_fuznorm1, axiom,  (v1_funct_1(k12_fuznorm1) &  (v1_funct_2(k12_fuznorm1, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(k12_fuznorm1, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) ) ).
fof(dt_k13_fuznorm1, axiom,  (v1_funct_1(k13_fuznorm1) &  (v1_funct_2(k13_fuznorm1, k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1)) & m1_subset_1(k13_fuznorm1, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers, 1), k1_rcomp_1(k5_numbers, 1)), k1_rcomp_1(k5_numbers, 1))))) ) ).
fof(cc1_fuznum_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))) =>  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & v2_fuznum_1(B, A)) ) )  =>  (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & v1_fuznum_1(B, A)) ) ) ) ) ) ) ) ).
fof(fc1_fuznum_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v5_relat_1(k5_fuzzy_1(A), k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(k5_fuzzy_1(A)) &  (v1_funct_2(k5_fuzzy_1(A), A, k1_numbers) & v1_fuznum_1(k5_fuzzy_1(A), A)) ) ) ) ) ).
fof(rc1_fuznum_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k1_numbers) &  (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_funct_2(B, A, k1_numbers) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) & v1_fuznum_1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc2_fuznum_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => v1_xboole_0(k2_fuznum_1(A, k4_fuzzy_1(A)))) ) ).
fof(fc3_fuznum_1, axiom,  (v5_relat_1(k5_fuzzy_1(k1_numbers), k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(k5_fuzzy_1(k1_numbers)) &  (v1_funct_2(k5_fuzzy_1(k1_numbers), k1_numbers, k1_numbers) & v3_fuznum_1(k5_fuzzy_1(k1_numbers))) ) ) ).
fof(fc4_fuznum_1, axiom,  (v5_relat_1(k4_fuzzy_1(k1_numbers), k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(k4_fuzzy_1(k1_numbers)) &  (v1_funct_2(k4_fuzzy_1(k1_numbers), k1_numbers, k1_numbers) & v3_fuznum_1(k4_fuzzy_1(k1_numbers))) ) ) ).
fof(rc2_fuznum_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) &  ( ~ (v1_zfmisc_1(A))  &  (v1_membered(A) &  (v2_membered(A) &  (v3_membered(A) &  (v2_rcomp_1(A) & v2_measure5(A)) ) ) ) ) ) ) ).
fof(rc3_fuznum_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))) &  (v1_relat_1(A) &  (v4_relat_1(A, k1_numbers) &  (v5_relat_1(A, k1_numbers) &  (v5_relat_1(A, k1_rcomp_1(k5_numbers, 1)) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_partfun1(A, k1_numbers) &  (v1_funct_2(A, k1_numbers, k1_numbers) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) & v4_fuznum_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc4_fuznum_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))) &  (v1_relat_1(A) &  (v4_relat_1(A, k1_numbers) &  (v5_relat_1(A, k1_numbers) &  (v5_relat_1(A, k1_rcomp_1(k5_numbers, 1)) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_partfun1(A, k1_numbers) &  (v1_funct_2(A, k1_numbers, k1_numbers) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) & v5_fuznum_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_fuznum_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(A, B) & k6_subset_1(k1_numbers, k2_rcomp_1(A, B))=k1_xboole_0) ) ) ) ) ) ).
fof(t2_fuznum_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k1_fcont_1(k7_xcmplx_0(1, k6_xcmplx_0(B, A)), k4_xcmplx_0(k7_xcmplx_0(A, k6_xcmplx_0(B, A)))), A)=k5_numbers) ) ) ) ).
fof(t3_fuznum_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (k6_xcmplx_0(B, A)=k5_numbers)  => k1_funct_1(k1_fcont_1(k7_xcmplx_0(1, k6_xcmplx_0(B, A)), k4_xcmplx_0(k7_xcmplx_0(A, k6_xcmplx_0(B, A)))), B)=1) ) ) ) ) ).
fof(t4_fuznum_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (k6_xcmplx_0(B, A)=k5_numbers)  => k1_funct_1(k1_fcont_1(k4_xcmplx_0(k7_xcmplx_0(1, k6_xcmplx_0(B, A))), k7_xcmplx_0(B, k6_xcmplx_0(B, A))), A)=1) ) ) ) ) ).
fof(t5_fuznum_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k1_fcont_1(k4_xcmplx_0(k7_xcmplx_0(1, k6_xcmplx_0(B, A))), k7_xcmplx_0(B, k6_xcmplx_0(B, A))), B)=k5_numbers) ) ) ) ).
fof(t6_fuznum_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (k1_funct_1(k1_fcont_1(k7_xcmplx_0(1, k6_xcmplx_0(B, A)), k4_xcmplx_0(k7_xcmplx_0(A, k6_xcmplx_0(B, A)))), C)=1 =>  (k6_xcmplx_0(B, A)=k5_numbers | C=B) ) ) ) ) ) ) ) ).
fof(t7_fuznum_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (k1_funct_1(k1_fcont_1(k4_xcmplx_0(k7_xcmplx_0(1, k6_xcmplx_0(B, A))), k7_xcmplx_0(B, k6_xcmplx_0(B, A))), C)=1 =>  (k6_xcmplx_0(B, A)=k5_numbers | C=A) ) ) ) ) ) ) ) ).
fof(t8_fuznum_1, axiom,  (! [A] :  (v1_xreal_0(A) => k2_relset_1(k1_numbers, k1_fcont_1(k5_numbers, A))=k1_tarski(A)) ) ).
fof(t9_fuznum_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  => k2_relset_1(k1_numbers, k5_relset_1(k1_numbers, k1_numbers, k1_fcont_1(k5_numbers, A), B))=k1_tarski(A)) ) ) ) ).
fof(t10_fuznum_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(k6_xcmplx_0(B, A), k5_numbers))  => k2_relset_1(k1_numbers, k5_relset_1(k1_numbers, k1_numbers, k1_fcont_1(k7_xcmplx_0(1, k6_xcmplx_0(B, A)), k4_xcmplx_0(k7_xcmplx_0(A, k6_xcmplx_0(B, A)))), k1_rcomp_1(A, B)))=k1_rcomp_1(k5_numbers, 1)) ) ) ) ) ).
fof(t11_fuznum_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(k6_xcmplx_0(B, A), k5_numbers))  => k2_relset_1(k1_numbers, k5_relset_1(k1_numbers, k1_numbers, k1_fcont_1(k4_xcmplx_0(k7_xcmplx_0(1, k6_xcmplx_0(B, A))), k7_xcmplx_0(B, k6_xcmplx_0(B, A))), k4_rcomp_1(A, B)))=k3_rcomp_1(k5_numbers, 1)) ) ) ) ) ).
fof(t12_fuznum_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(k6_xcmplx_0(B, A), k5_numbers))  => k2_relset_1(k1_numbers, k5_relset_1(k1_numbers, k1_numbers, k1_fcont_1(k4_xcmplx_0(k7_xcmplx_0(1, k6_xcmplx_0(B, A))), k7_xcmplx_0(B, k6_xcmplx_0(B, A))), k1_rcomp_1(A, B)))=k1_rcomp_1(k5_numbers, 1)) ) ) ) ) ).
fof(t13_fuznum_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ (k1_funct_1(k1_fcont_1(k5_numbers, k5_numbers), A)=1) ) ) ).
fof(t14_fuznum_1, axiom,  (! [A] :  (v1_xreal_0(A) => k1_funct_1(k1_fcont_1(k5_numbers, 1), A)=1) ) ).
fof(t15_fuznum_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k1_fcont_1(k5_numbers, A), B)=A) ) ) ) ).
fof(d1_fuznum_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_fuznum_1(B, A) <=>  (? [C] :  (m1_subset_1(C, A) & k1_funct_1(B, C)=1) ) ) ) ) ) ) ).
fof(d2_fuznum_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v2_fuznum_1(B, A) <=>  (? [C] :  (m1_subset_1(C, A) &  (k1_funct_1(B, C)=1 &  (! [D] :  (m1_subset_1(D, A) =>  (k1_funct_1(B, D)=1 => D=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_fuznum_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  (v1_xreal_0(C) => k1_fuznum_1(A, B, C)=k8_relset_1(A, k1_numbers, B, k1_rcomp_1(C, 1))) ) ) ) ) ) ).
fof(t17_fuznum_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k2_fuznum_1(A, k5_fuzzy_1(A))=A) ) ).
fof(t18_fuznum_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k2_fuznum_1(A, k4_fuzzy_1(A))=k1_xboole_0) ) ).
fof(t19_fuznum_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => k2_fuznum_1(A, B)=k8_relset_1(A, k1_numbers, B, k1_tarski(1))) ) ) ) ).
fof(t20_fuznum_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => k2_fuznum_1(A, B)=k1_fuznum_1(A, B, 1)) ) ) ) ).
fof(d5_fuznum_1, axiom,  (! [A] :  ( (v5_relat_1(A, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  =>  (v3_fuznum_1(A) <=>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(k5_numbers, D) & r1_xxreal_0(D, 1))  => r1_xxreal_0(k3_xxreal_0(k1_funct_1(A, B), k1_funct_1(A, C)), k1_funct_1(A, k2_xcmplx_0(k3_xcmplx_0(D, B), k3_xcmplx_0(k6_xcmplx_0(1, D), C))))) ) ) ) ) ) ) ) ) ) ).
fof(d6_fuznum_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => k3_fuznum_1(A, B)=k1_xxreal_2(k2_relset_1(k1_numbers, B))) ) ) ) ).
fof(t21_fuznum_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (r1_xxreal_0(k5_numbers, k3_fuznum_1(A, B)) & r1_xxreal_0(k3_fuznum_1(A, B), 1)) ) ) ) ) ).
fof(t22_fuznum_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_fuznum_1(B, A) => k3_fuznum_1(A, B)=1) ) ) ) ) ).
fof(t23_fuznum_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ~ ( (v1_fcont_1(A) &  (v1_fcont_1(B) &  ( (? [C] :  (k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k1_relset_1(k1_numbers, B))=k1_tarski(C) &  (! [D] :  (r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k1_relset_1(k1_numbers, B))) => k1_funct_1(A, D)=k1_funct_1(B, D)) ) ) )  &  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ~ ( (r2_relset_1(k1_numbers, k1_numbers, C, k9_funct_4(k1_numbers, k1_numbers, A, B)) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k1_relset_1(k1_numbers, B))) => r1_fcont_1(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_fuznum_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ~ ( (v1_fcont_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_fcont_1(B) &  ( ~ (v1_xboole_0(B))  &  ( (? [C] :  (v1_xreal_0(C) &  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (k1_relset_1(k1_numbers, A)=k1_rcomp_1(C, D) & k1_relset_1(k1_numbers, B)=k1_rcomp_1(D, E)) ) ) ) ) ) )  &  (r1_partfun1(A, B) &  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ~ ( (r2_relset_1(k1_numbers, k1_numbers, C, k9_funct_4(k1_numbers, k1_numbers, A, B)) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, k1_relset_1(k1_numbers, C)) => r1_fcont_1(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_fuznum_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v1_fcont_1(A) &  (v1_fcont_1(B) & r1_partfun1(A, B)) )  =>  (v1_xboole_0(A) |  (v1_xboole_0(B) |  ( (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( (k1_relset_1(k1_numbers, A)=k1_rcomp_1(C, D) & k1_relset_1(k1_numbers, B)=k1_rcomp_1(D, E)) ) ) ) ) ) ) )  | v1_fcont_1(k9_funct_4(k1_numbers, k1_numbers, A, B))) ) ) ) ) ) ) ) ).
fof(t26_fuznum_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_relset_1(k1_numbers, k1_numbers, C, k5_relset_1(k1_numbers, k1_numbers, k1_fcont_1(k5_numbers, k5_numbers), k6_subset_1(k1_numbers, k2_rcomp_1(A, B)))) &  (k1_relset_1(k1_numbers, D)=k1_rcomp_1(A, B) &  (k1_funct_1(D, A)=k5_numbers & k1_funct_1(D, B)=k5_numbers) ) )  =>  (v1_xboole_0(D) | r1_partfun1(C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t27_fuznum_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ~ ( (v1_fcont_1(D) &  ( ~ (v1_xboole_0(D))  &  (r2_relset_1(k1_numbers, k1_numbers, C, k5_relset_1(k1_numbers, k1_numbers, k1_fcont_1(k5_numbers, k5_numbers), k6_subset_1(k1_numbers, k2_rcomp_1(A, B)))) &  (k1_relset_1(k1_numbers, D)=k1_rcomp_1(A, B) &  (k1_funct_1(D, A)=k5_numbers &  (k1_funct_1(D, B)=k5_numbers &  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ~ ( (r2_relset_1(k1_numbers, k1_numbers, E, k9_funct_4(k1_numbers, k1_numbers, C, D)) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, k1_relset_1(k1_numbers, E)) => r1_fcont_1(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_fuznum_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v1_fcont_1(D) &  (r2_relset_1(k1_numbers, k1_numbers, C, k5_relset_1(k1_numbers, k1_numbers, k1_fcont_1(k5_numbers, k5_numbers), k6_subset_1(k1_numbers, k2_rcomp_1(A, B)))) &  (k1_relset_1(k1_numbers, D)=k1_rcomp_1(A, B) &  (k1_funct_1(D, A)=k5_numbers & k1_funct_1(D, B)=k5_numbers) ) ) )  =>  (v1_xboole_0(D) | v1_fcont_1(k9_funct_4(k1_numbers, k1_numbers, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(d7_fuznum_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  ( ~ (r1_xxreal_0(C, B))  &  ~ (k4_fuznum_1(A, B, C)=k9_funct_4(k1_numbers, k1_numbers, k9_funct_4(k1_numbers, k1_numbers, k5_relset_1(k1_numbers, k1_numbers, k1_fcont_1(k5_numbers, k5_numbers), k6_subset_1(k1_numbers, k2_rcomp_1(A, C))), k5_relset_1(k1_numbers, k1_numbers, k1_fcont_1(k7_xcmplx_0(1, k6_xcmplx_0(B, A)), k4_xcmplx_0(k7_xcmplx_0(A, k6_xcmplx_0(B, A)))), k1_rcomp_1(A, B))), k5_relset_1(k1_numbers, k1_numbers, k1_fcont_1(k4_xcmplx_0(k7_xcmplx_0(1, k6_xcmplx_0(C, B))), k7_xcmplx_0(C, k6_xcmplx_0(C, B))), k1_rcomp_1(B, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t29_fuznum_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  ( ~ (r1_xxreal_0(C, B))  &  ~ (v2_fuznum_1(k4_fuznum_1(A, B, C), k1_numbers)) ) ) ) ) ) ) ) ) ) ).
fof(t30_fuznum_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  ( ~ (r1_xxreal_0(C, B))  &  ~ (v1_fcont_1(k4_fuznum_1(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(d8_fuznum_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  ( ~ (r1_xxreal_0(C, B))  &  ( ~ (r1_xxreal_0(D, C))  &  ~ (k5_fuznum_1(A, B, C, D)=k9_funct_4(k1_numbers, k1_numbers, k9_funct_4(k1_numbers, k1_numbers, k9_funct_4(k1_numbers, k1_numbers, k5_relset_1(k1_numbers, k1_numbers, k1_fcont_1(k5_numbers, k5_numbers), k6_subset_1(k1_numbers, k2_rcomp_1(A, D))), k5_relset_1(k1_numbers, k1_numbers, k1_fcont_1(k7_xcmplx_0(1, k6_xcmplx_0(B, A)), k4_xcmplx_0(k7_xcmplx_0(A, k6_xcmplx_0(B, A)))), k1_rcomp_1(A, B))), k5_relset_1(k1_numbers, k1_numbers, k1_fcont_1(k5_numbers, 1), k1_rcomp_1(B, C))), k5_relset_1(k1_numbers, k1_numbers, k1_fcont_1(k4_xcmplx_0(k7_xcmplx_0(1, k6_xcmplx_0(D, C))), k7_xcmplx_0(D, k6_xcmplx_0(D, C))), k1_rcomp_1(C, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_fuznum_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  ( ~ (r1_xxreal_0(C, B))  &  ( ~ (r1_xxreal_0(D, C))  &  ~ (v1_fuznum_1(k5_fuznum_1(A, B, C, D), k1_numbers)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_fuznum_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  ( ~ (r1_xxreal_0(C, B))  &  ( ~ (r1_xxreal_0(D, C))  &  ~ (v1_fcont_1(k5_fuznum_1(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_fuznum_1, axiom,  (! [A] :  ( (v5_relat_1(A, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  =>  (v4_fuznum_1(A) <=>  (? [B] :  (v1_xreal_0(B) &  (? [C] :  (v1_xreal_0(C) &  (? [D] :  (v1_xreal_0(D) & r2_relset_1(k1_numbers, k1_numbers, A, k4_fuznum_1(B, C, D))) ) ) ) ) ) ) ) ) ).
fof(d10_fuznum_1, axiom,  (! [A] :  ( (v5_relat_1(A, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  =>  (v5_fuznum_1(A) <=>  (? [B] :  (v1_xreal_0(B) &  (? [C] :  (v1_xreal_0(C) &  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) & r2_relset_1(k1_numbers, k1_numbers, A, k5_fuznum_1(B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_fuznum_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  & v1_xreal_0(C)) )  => m1_subset_1(k1_fuznum_1(A, B, C), k1_zfmisc_1(A))) ) ).
fof(dt_k2_fuznum_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  => m1_subset_1(k2_fuznum_1(A, B), k1_zfmisc_1(A))) ) ).
fof(dt_k3_fuznum_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  => v1_xxreal_0(k3_fuznum_1(A, B))) ) ).
fof(dt_k4_fuznum_1, axiom,  (! [A, B, C] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) & v1_xreal_0(C)) )  =>  (v5_relat_1(k4_fuznum_1(A, B, C), k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(k4_fuznum_1(A, B, C)) &  (v1_funct_2(k4_fuznum_1(A, B, C), k1_numbers, k1_numbers) & m1_subset_1(k4_fuznum_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ) ) ) ).
fof(dt_k5_fuznum_1, axiom,  (! [A, B, C, D] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v1_xreal_0(C) & v1_xreal_0(D)) ) )  =>  (v5_relat_1(k5_fuznum_1(A, B, C, D), k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(k5_fuznum_1(A, B, C, D)) &  (v1_funct_2(k5_fuznum_1(A, B, C, D), k1_numbers, k1_numbers) & m1_subset_1(k5_fuznum_1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ) ) ) ).
fof(d3_fuznum_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  (v1_xreal_0(C) => k1_fuznum_1(A, B, C)=a_3_0_fuznum_1(A, B, C)) ) ) ) ) ) ).
fof(d4_fuznum_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => k2_fuznum_1(A, B)=a_2_0_fuznum_1(A, B)) ) ) ) ).
fof(fraenkel_a_3_0_fuznum_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, B, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) ) )  & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_0_fuznum_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, B) &  (A=E & r1_xxreal_0(D, k1_funct_1(C, E))) ) ) ) ) ) ).
fof(fraenkel_a_2_0_fuznum_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, B, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) ) ) )  =>  (r2_hidden(A, a_2_0_fuznum_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, B) &  (A=D & k1_funct_1(C, D)=1) ) ) ) ) ) ).
fof(fc1_fuzzy_1, axiom,  (! [A, B] :  (v1_relat_1(k4_funct_3(A, B)) &  (v5_relat_1(k4_funct_3(A, B), k1_rcomp_1(k5_numbers, 1)) & v1_funct_1(k4_funct_3(A, B))) ) ) ).
fof(rc1_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k1_numbers) &  (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_funct_2(B, A, k1_numbers) &  (v1_valued_0(B) &  (v2_valued_0(B) & v3_valued_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))) =>  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) & v1_funct_2(B, A, k1_numbers)) )  =>  (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & v3_valued_0(B)) ) ) ) ) ) ) ) ).
fof(t1_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v5_relat_1(k7_rfunct_1(A, A), k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(k7_rfunct_1(A, A)) &  (v1_funct_2(k7_rfunct_1(A, A), A, k1_numbers) & m1_subset_1(k7_rfunct_1(A, A), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ).
fof(d1_fuzzy_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_valued_0(B)) )  =>  (r1_fuzzy_1(A, B) <=>  (r1_tarski(k9_xtuple_0(A), k9_xtuple_0(B)) &  (! [C] :  (r2_tarski(C, k9_xtuple_0(A)) => r1_xxreal_0(k1_funct_1(A, C), k1_funct_1(B, C))) ) ) ) ) ) ) ) ).
fof(d2_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (r2_fuzzy_1(A, B, C) <=>  (! [D] :  (m1_subset_1(D, A) => r1_xxreal_0(k3_funct_2(A, k1_numbers, B, D), k3_funct_2(A, k1_numbers, C, D))) ) ) ) ) ) ) ) ) ).
fof(t2_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (r2_funct_2(A, k1_numbers, B, C) <=>  (r1_fuzzy_1(B, C) & r1_fuzzy_1(C, B)) ) ) ) ) ) ) ) ).
fof(t3_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r1_fuzzy_1(B, B)) ) ) ) ).
fof(t4_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  ( (r1_fuzzy_1(B, D) & r1_fuzzy_1(D, C))  => r1_fuzzy_1(D, C)) ) ) ) ) ) ) ) ) ).
fof(d3_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (D=k1_fuzzy_1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) => k3_funct_2(A, k1_numbers, D, E)=k3_xxreal_0(k3_funct_2(A, k1_numbers, B, E), k3_funct_2(A, k1_numbers, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (D=k2_fuzzy_1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) => k3_funct_2(A, k1_numbers, D, E)=k4_xxreal_0(k3_funct_2(A, k1_numbers, B, E), k3_funct_2(A, k1_numbers, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (C=k3_fuzzy_1(A, B) <=>  (! [D] :  (m1_subset_1(D, A) => k3_funct_2(A, k1_numbers, C, D)=k6_xcmplx_0(1, k3_funct_2(A, k1_numbers, B, D))) ) ) ) ) ) ) ) ) ).
fof(t5_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (k3_xxreal_0(k3_funct_2(A, k1_numbers, C, B), k3_funct_2(A, k1_numbers, D, B))=k3_funct_2(A, k1_numbers, k1_fuzzy_1(A, C, D), B) & k4_xxreal_0(k3_funct_2(A, k1_numbers, C, B), k3_funct_2(A, k1_numbers, D, B))=k3_funct_2(A, k1_numbers, k2_fuzzy_1(A, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t6_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (r2_funct_2(A, k1_numbers, k2_fuzzy_1(A, C, C), C) &  (r2_funct_2(A, k1_numbers, k1_fuzzy_1(A, C, C), C) &  (r2_funct_2(A, k1_numbers, k2_fuzzy_1(A, C, C), k1_fuzzy_1(A, C, C)) &  (r2_funct_2(A, k1_numbers, k1_fuzzy_1(A, B, D), k1_fuzzy_1(A, D, B)) & r2_funct_2(A, k1_numbers, k2_fuzzy_1(A, B, D), k2_fuzzy_1(A, D, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (r2_funct_2(A, k1_numbers, k2_fuzzy_1(A, k2_fuzzy_1(A, B, D), C), k2_fuzzy_1(A, B, k2_fuzzy_1(A, D, C))) & r2_funct_2(A, k1_numbers, k1_fuzzy_1(A, k1_fuzzy_1(A, B, D), C), k1_fuzzy_1(A, B, k1_fuzzy_1(A, D, C)))) ) ) ) ) ) ) ) ) ).
fof(t8_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (r2_funct_2(A, k1_numbers, k2_fuzzy_1(A, B, k1_fuzzy_1(A, B, C)), B) & r2_funct_2(A, k1_numbers, k1_fuzzy_1(A, B, k2_fuzzy_1(A, B, C)), B)) ) ) ) ) ) ) ).
fof(t9_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (r2_funct_2(A, k1_numbers, k1_fuzzy_1(A, B, k2_fuzzy_1(A, D, C)), k2_fuzzy_1(A, k1_fuzzy_1(A, B, D), k1_fuzzy_1(A, B, C))) & r2_funct_2(A, k1_numbers, k2_fuzzy_1(A, B, k1_fuzzy_1(A, D, C)), k1_fuzzy_1(A, k2_fuzzy_1(A, B, D), k2_fuzzy_1(A, B, C)))) ) ) ) ) ) ) ) ) ).
fof(t11_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (r2_funct_2(A, k1_numbers, k3_fuzzy_1(A, k2_fuzzy_1(A, B, C)), k1_fuzzy_1(A, k3_fuzzy_1(A, B), k3_fuzzy_1(A, C))) & r2_funct_2(A, k1_numbers, k3_fuzzy_1(A, k1_fuzzy_1(A, B, C)), k2_fuzzy_1(A, k3_fuzzy_1(A, B), k3_fuzzy_1(A, C)))) ) ) ) ) ) ) ).
fof(t12_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v5_relat_1(k7_rfunct_1(k1_xboole_0, A), k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(k7_rfunct_1(k1_xboole_0, A)) &  (v1_funct_2(k7_rfunct_1(k1_xboole_0, A), A, k1_numbers) & m1_subset_1(k7_rfunct_1(k1_xboole_0, A), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ).
fof(d6_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k4_fuzzy_1(A)=k7_rfunct_1(k1_xboole_0, A)) ) ).
fof(d7_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k5_fuzzy_1(A)=k7_rfunct_1(A, A)) ) ).
fof(t13_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (r1_tarski(k10_xtuple_0(D), k1_rcomp_1(B, C)) & r1_xxreal_0(B, C))  =>  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, k1_relset_1(A, D)) =>  (r1_xxreal_0(B, k1_funct_1(D, E)) & r1_xxreal_0(k1_funct_1(D, E), C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r1_fuzzy_1(k4_fuzzy_1(A), B)) ) ) ) ).
fof(t15_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r1_fuzzy_1(B, k5_fuzzy_1(A))) ) ) ) ).
fof(t16_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (r1_xxreal_0(k3_funct_2(A, k1_numbers, k4_fuzzy_1(A), B), k3_funct_2(A, k1_numbers, C, B)) & r1_xxreal_0(k3_funct_2(A, k1_numbers, C, B), k3_funct_2(A, k1_numbers, k5_fuzzy_1(A), B))) ) ) ) ) ) ) ).
fof(t17_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (r1_fuzzy_1(k1_fuzzy_1(A, B, C), B) & r1_fuzzy_1(B, k2_fuzzy_1(A, B, C))) ) ) ) ) ) ) ).
fof(t18_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (r2_funct_2(A, k1_numbers, k2_fuzzy_1(A, B, k5_fuzzy_1(A)), k5_fuzzy_1(A)) &  (r2_funct_2(A, k1_numbers, k1_fuzzy_1(A, B, k5_fuzzy_1(A)), B) &  (r2_funct_2(A, k1_numbers, k2_fuzzy_1(A, B, k4_fuzzy_1(A)), B) & r2_funct_2(A, k1_numbers, k1_fuzzy_1(A, B, k4_fuzzy_1(A)), k4_fuzzy_1(A))) ) ) ) ) ) ) ).
fof(t19_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  ( (r1_fuzzy_1(B, C) & r1_fuzzy_1(D, C))  => r1_fuzzy_1(k2_fuzzy_1(A, B, D), C)) ) ) ) ) ) ) ) ) ).
fof(t20_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (r1_fuzzy_1(B, D) => r1_fuzzy_1(k2_fuzzy_1(A, B, C), k2_fuzzy_1(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t21_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [E] :  ( (v5_relat_1(E, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(E) &  (v1_funct_2(E, A, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  ( (r1_fuzzy_1(B, D) & r1_fuzzy_1(C, E))  => r1_fuzzy_1(k2_fuzzy_1(A, B, C), k2_fuzzy_1(A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (r1_fuzzy_1(B, C) => r2_funct_2(A, k1_numbers, k2_fuzzy_1(A, B, C), C)) ) ) ) ) ) ) ).
fof(t23_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r1_fuzzy_1(k1_fuzzy_1(A, B, C), k2_fuzzy_1(A, B, C))) ) ) ) ) ) ).
fof(t24_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  ( (r1_fuzzy_1(C, B) & r1_fuzzy_1(C, D))  => r1_fuzzy_1(C, k1_fuzzy_1(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t25_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (r1_fuzzy_1(B, D) => r1_fuzzy_1(k1_fuzzy_1(A, B, C), k1_fuzzy_1(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t26_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [E] :  ( (v5_relat_1(E, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(E) &  (v1_funct_2(E, A, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  ( (r1_fuzzy_1(B, D) & r1_fuzzy_1(C, E))  => r1_fuzzy_1(k1_fuzzy_1(A, B, C), k1_fuzzy_1(A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (r1_fuzzy_1(B, C) => r2_funct_2(A, k1_numbers, k1_fuzzy_1(A, B, C), B)) ) ) ) ) ) ) ).
fof(t28_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  ( (r1_fuzzy_1(B, D) &  (r1_fuzzy_1(B, C) & r2_funct_2(A, k1_numbers, k1_fuzzy_1(A, D, C), k4_fuzzy_1(A))) )  => r2_funct_2(A, k1_numbers, B, k4_fuzzy_1(A))) ) ) ) ) ) ) ) ) ).
fof(t29_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (r2_funct_2(A, k1_numbers, k2_fuzzy_1(A, k1_fuzzy_1(A, B, D), k1_fuzzy_1(A, B, C)), B) => r1_fuzzy_1(B, k2_fuzzy_1(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t30_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  ( (r1_fuzzy_1(B, D) & r2_funct_2(A, k1_numbers, k1_fuzzy_1(A, D, C), k4_fuzzy_1(A)))  => r2_funct_2(A, k1_numbers, k1_fuzzy_1(A, B, C), k4_fuzzy_1(A))) ) ) ) ) ) ) ) ) ).
fof(t31_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (r1_fuzzy_1(B, k4_fuzzy_1(A)) => r2_funct_2(A, k1_numbers, B, k4_fuzzy_1(A))) ) ) ) ) ).
fof(t32_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (r2_funct_2(A, k1_numbers, k2_fuzzy_1(A, B, C), k4_fuzzy_1(A)) <=>  (r2_funct_2(A, k1_numbers, B, k4_fuzzy_1(A)) & r2_funct_2(A, k1_numbers, C, k4_fuzzy_1(A))) ) ) ) ) ) ) ) ).
fof(t33_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (r2_funct_2(A, k1_numbers, B, k2_fuzzy_1(A, D, C)) <=>  (r1_fuzzy_1(D, B) &  (r1_fuzzy_1(C, B) &  (! [E] :  ( (v5_relat_1(E, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(E) &  (v1_funct_2(E, A, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  ( (r1_fuzzy_1(D, E) & r1_fuzzy_1(C, E))  => r1_fuzzy_1(B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (r2_funct_2(A, k1_numbers, B, k1_fuzzy_1(A, D, C)) <=>  (r1_fuzzy_1(B, D) &  (r1_fuzzy_1(B, C) &  (! [E] :  ( (v5_relat_1(E, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(E) &  (v1_funct_2(E, A, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  ( (r1_fuzzy_1(E, D) & r1_fuzzy_1(E, C))  => r1_fuzzy_1(E, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  ( (r1_fuzzy_1(B, k2_fuzzy_1(A, D, C)) & r2_funct_2(A, k1_numbers, k1_fuzzy_1(A, B, C), k4_fuzzy_1(A)))  => r1_fuzzy_1(B, D)) ) ) ) ) ) ) ) ) ).
fof(t36_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (r1_fuzzy_1(B, C) <=> r1_fuzzy_1(k3_fuzzy_1(A, C), k3_fuzzy_1(A, B))) ) ) ) ) ) ) ).
fof(t37_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (r1_fuzzy_1(B, k3_fuzzy_1(A, C)) => r1_fuzzy_1(C, k3_fuzzy_1(A, B))) ) ) ) ) ) ) ).
fof(t38_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r1_fuzzy_1(k3_fuzzy_1(A, k2_fuzzy_1(A, B, C)), k3_fuzzy_1(A, B))) ) ) ) ) ) ).
fof(t39_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r1_fuzzy_1(k3_fuzzy_1(A, B), k3_fuzzy_1(A, k1_fuzzy_1(A, B, C)))) ) ) ) ) ) ).
fof(t40_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (r2_funct_2(A, k1_numbers, k3_fuzzy_1(A, k4_fuzzy_1(A)), k5_fuzzy_1(A)) & r2_funct_2(A, k1_numbers, k3_fuzzy_1(A, k5_fuzzy_1(A)), k4_fuzzy_1(A))) ) ) ).
fof(d8_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => k6_fuzzy_1(A, B, C)=k2_fuzzy_1(A, k1_fuzzy_1(A, B, k3_fuzzy_1(A, C)), k1_fuzzy_1(A, k3_fuzzy_1(A, B), C))) ) ) ) ) ) ).
fof(t41_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r2_funct_2(A, k1_numbers, k6_fuzzy_1(A, B, k4_fuzzy_1(A)), B)) ) ) ) ).
fof(t42_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r2_funct_2(A, k1_numbers, k6_fuzzy_1(A, B, k5_fuzzy_1(A)), k3_fuzzy_1(A, B))) ) ) ) ).
fof(t43_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r2_funct_2(A, k1_numbers, k1_fuzzy_1(A, k1_fuzzy_1(A, k2_fuzzy_1(A, B, D), k2_fuzzy_1(A, D, C)), k2_fuzzy_1(A, C, B)), k2_fuzzy_1(A, k2_fuzzy_1(A, k1_fuzzy_1(A, B, D), k1_fuzzy_1(A, D, C)), k1_fuzzy_1(A, C, B)))) ) ) ) ) ) ) ) ).
fof(t44_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r1_fuzzy_1(k2_fuzzy_1(A, k1_fuzzy_1(A, B, C), k1_fuzzy_1(A, k3_fuzzy_1(A, B), k3_fuzzy_1(A, C))), k3_fuzzy_1(A, k6_fuzzy_1(A, B, C)))) ) ) ) ) ) ).
fof(t45_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r1_fuzzy_1(k2_fuzzy_1(A, k6_fuzzy_1(A, B, C), k1_fuzzy_1(A, B, C)), k2_fuzzy_1(A, B, C))) ) ) ) ) ) ).
fof(t46_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r2_funct_2(A, k1_numbers, k6_fuzzy_1(A, B, B), k1_fuzzy_1(A, B, k3_fuzzy_1(A, B)))) ) ) ) ).
fof(d9_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (D=k7_fuzzy_1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) => k3_funct_2(A, k1_numbers, D, E)=k9_complex1(k6_xcmplx_0(k3_funct_2(A, k1_numbers, B, E), k3_funct_2(A, k1_numbers, C, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(reflexivity_r1_fuzzy_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v3_valued_0(B)) ) )  => r1_fuzzy_1(A, A)) ) ).
fof(reflexivity_r2_fuzzy_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  &  (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) )  => r2_fuzzy_1(A, B, B)) ) ).
fof(redefinition_r2_fuzzy_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  &  (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) )  =>  (r2_fuzzy_1(A, B, C) <=> r1_fuzzy_1(B, C)) ) ) ).
fof(dt_k1_fuzzy_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  &  (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) )  =>  (v5_relat_1(k1_fuzzy_1(A, B, C), k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(k1_fuzzy_1(A, B, C)) &  (v1_funct_2(k1_fuzzy_1(A, B, C), A, k1_numbers) & m1_subset_1(k1_fuzzy_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ).
fof(commutativity_k1_fuzzy_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  &  (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) )  => k1_fuzzy_1(A, B, C)=k1_fuzzy_1(A, C, B)) ) ).
fof(idempotence_k1_fuzzy_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  &  (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) )  => k1_fuzzy_1(A, B, B)=B) ) ).
fof(dt_k2_fuzzy_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  &  (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) )  =>  (v5_relat_1(k2_fuzzy_1(A, B, C), k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(k2_fuzzy_1(A, B, C)) &  (v1_funct_2(k2_fuzzy_1(A, B, C), A, k1_numbers) & m1_subset_1(k2_fuzzy_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ).
fof(commutativity_k2_fuzzy_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  &  (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) )  => k2_fuzzy_1(A, B, C)=k2_fuzzy_1(A, C, B)) ) ).
fof(idempotence_k2_fuzzy_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  &  (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) )  => k2_fuzzy_1(A, B, B)=B) ) ).
fof(dt_k3_fuzzy_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  =>  (v5_relat_1(k3_fuzzy_1(A, B), k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(k3_fuzzy_1(A, B)) &  (v1_funct_2(k3_fuzzy_1(A, B), A, k1_numbers) & m1_subset_1(k3_fuzzy_1(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ).
fof(involutiveness_k3_fuzzy_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  => k3_fuzzy_1(A, k3_fuzzy_1(A, B))=B) ) ).
fof(dt_k4_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v5_relat_1(k4_fuzzy_1(A), k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(k4_fuzzy_1(A)) &  (v1_funct_2(k4_fuzzy_1(A), A, k1_numbers) & m1_subset_1(k4_fuzzy_1(A), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ).
fof(dt_k5_fuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v5_relat_1(k5_fuzzy_1(A), k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(k5_fuzzy_1(A)) &  (v1_funct_2(k5_fuzzy_1(A), A, k1_numbers) & m1_subset_1(k5_fuzzy_1(A), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ).
fof(dt_k6_fuzzy_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  &  (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) )  =>  (v5_relat_1(k6_fuzzy_1(A, B, C), k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(k6_fuzzy_1(A, B, C)) &  (v1_funct_2(k6_fuzzy_1(A, B, C), A, k1_numbers) & m1_subset_1(k6_fuzzy_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ).
fof(commutativity_k6_fuzzy_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  &  (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) )  => k6_fuzzy_1(A, B, C)=k6_fuzzy_1(A, C, B)) ) ).
fof(dt_k7_fuzzy_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  &  (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) )  =>  (v5_relat_1(k7_fuzzy_1(A, B, C), k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(k7_fuzzy_1(A, B, C)) &  (v1_funct_2(k7_fuzzy_1(A, B, C), A, k1_numbers) & m1_subset_1(k7_fuzzy_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ).
fof(cc1_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))) =>  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) & v1_funct_2(B, A, k1_numbers)) )  =>  (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) & v1_funct_2(B, A, k1_numbers)) ) ) ) ) ) ) ).
fof(t1_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (r1_xxreal_0(k5_numbers, k3_funct_2(A, k1_numbers, C, B)) & r1_xxreal_0(k3_funct_2(A, k1_numbers, C, B), 1)) ) ) ) ) ) ) ).
fof(t2_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (r1_fuzzy_1(B, C) => r2_funct_2(A, k1_numbers, k2_fuzzy_1(A, B, k1_fuzzy_1(A, D, C)), k1_fuzzy_1(A, k2_fuzzy_1(A, B, D), C))) ) ) ) ) ) ) ) ) ).
fof(d1_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => k1_fuzzy_2(A, B, C)=k1_fuzzy_1(A, B, k3_fuzzy_1(A, C))) ) ) ) ) ) ).
fof(t3_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r2_funct_2(A, k1_numbers, k3_fuzzy_1(A, k1_fuzzy_2(A, B, C)), k2_fuzzy_1(A, k3_fuzzy_1(A, B), C))) ) ) ) ) ) ).
fof(t4_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (r1_fuzzy_1(B, D) => r1_fuzzy_1(k1_fuzzy_2(A, B, C), k1_fuzzy_2(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t5_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (r1_fuzzy_1(B, D) => r1_fuzzy_1(k1_fuzzy_2(A, C, D), k1_fuzzy_2(A, C, B))) ) ) ) ) ) ) ) ) ).
fof(t6_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [E] :  ( (v5_relat_1(E, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(E) &  (v1_funct_2(E, A, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  ( (r1_fuzzy_1(B, D) & r1_fuzzy_1(C, E))  => r1_fuzzy_1(k1_fuzzy_2(A, B, E), k1_fuzzy_2(A, D, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r2_funct_2(A, k1_numbers, k1_fuzzy_2(A, B, k4_fuzzy_1(A)), B)) ) ) ) ).
fof(t8_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r1_fuzzy_1(k1_fuzzy_2(A, B, C), k1_fuzzy_2(A, B, k1_fuzzy_1(A, B, C)))) ) ) ) ) ) ).
fof(t9_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r1_fuzzy_1(k2_fuzzy_1(A, k1_fuzzy_1(A, B, C), k1_fuzzy_2(A, B, C)), B)) ) ) ) ) ) ).
fof(t10_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r1_fuzzy_1(k2_fuzzy_1(A, B, k1_fuzzy_2(A, C, B)), k2_fuzzy_1(A, B, C))) ) ) ) ) ) ).
fof(t11_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r2_funct_2(A, k1_numbers, k1_fuzzy_2(A, B, k1_fuzzy_2(A, D, C)), k2_fuzzy_1(A, k1_fuzzy_2(A, B, D), k1_fuzzy_1(A, B, C)))) ) ) ) ) ) ) ) ).
fof(t12_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r1_fuzzy_1(k1_fuzzy_1(A, B, C), k1_fuzzy_2(A, B, k1_fuzzy_2(A, B, C)))) ) ) ) ) ) ).
fof(t13_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r1_fuzzy_1(k1_fuzzy_2(A, B, C), k1_fuzzy_2(A, k2_fuzzy_1(A, B, C), C))) ) ) ) ) ) ).
fof(t14_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r2_funct_2(A, k1_numbers, k1_fuzzy_2(A, B, k2_fuzzy_1(A, D, C)), k1_fuzzy_1(A, k1_fuzzy_2(A, B, D), k1_fuzzy_2(A, B, C)))) ) ) ) ) ) ) ) ).
fof(t15_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r2_funct_2(A, k1_numbers, k1_fuzzy_2(A, B, k1_fuzzy_1(A, D, C)), k2_fuzzy_1(A, k1_fuzzy_2(A, B, D), k1_fuzzy_2(A, B, C)))) ) ) ) ) ) ) ) ).
fof(t16_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r2_funct_2(A, k1_numbers, k1_fuzzy_2(A, k1_fuzzy_2(A, B, D), C), k1_fuzzy_2(A, B, k2_fuzzy_1(A, D, C)))) ) ) ) ) ) ) ) ).
fof(t17_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r1_fuzzy_1(k6_fuzzy_1(A, B, C), k1_fuzzy_2(A, k2_fuzzy_1(A, B, C), k1_fuzzy_1(A, B, C)))) ) ) ) ) ) ).
fof(t18_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  ( (r1_fuzzy_1(k1_fuzzy_2(A, B, D), C) & r1_fuzzy_1(k1_fuzzy_2(A, D, B), C))  => r1_fuzzy_1(k6_fuzzy_1(A, B, D), C)) ) ) ) ) ) ) ) ) ).
fof(t19_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r1_fuzzy_1(k1_fuzzy_1(A, B, k1_fuzzy_2(A, D, C)), k1_fuzzy_2(A, k1_fuzzy_1(A, B, D), k1_fuzzy_1(A, B, C)))) ) ) ) ) ) ) ) ).
fof(t20_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r1_fuzzy_1(k6_fuzzy_1(A, B, C), k1_fuzzy_2(A, k2_fuzzy_1(A, B, C), k1_fuzzy_1(A, B, C)))) ) ) ) ) ) ).
fof(t21_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r1_fuzzy_1(k2_fuzzy_1(A, k1_fuzzy_1(A, B, C), k3_fuzzy_1(A, k2_fuzzy_1(A, B, C))), k3_fuzzy_1(A, k6_fuzzy_1(A, B, C)))) ) ) ) ) ) ).
fof(t22_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r2_funct_2(A, k1_numbers, k1_fuzzy_2(A, k6_fuzzy_1(A, B, D), C), k2_fuzzy_1(A, k1_fuzzy_2(A, B, k2_fuzzy_1(A, D, C)), k1_fuzzy_2(A, D, k2_fuzzy_1(A, B, C))))) ) ) ) ) ) ) ) ).
fof(t23_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r1_fuzzy_1(k2_fuzzy_1(A, k1_fuzzy_2(A, B, k2_fuzzy_1(A, D, C)), k1_fuzzy_1(A, k1_fuzzy_1(A, B, D), C)), k1_fuzzy_2(A, B, k6_fuzzy_1(A, D, C)))) ) ) ) ) ) ) ) ).
fof(t24_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (r1_fuzzy_1(B, C) => r1_fuzzy_1(k2_fuzzy_1(A, B, k1_fuzzy_2(A, C, B)), C)) ) ) ) ) ) ) ).
fof(t25_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r1_fuzzy_1(k2_fuzzy_1(A, k6_fuzzy_1(A, B, C), k1_fuzzy_1(A, B, C)), k2_fuzzy_1(A, B, C))) ) ) ) ) ) ).
fof(t26_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (r2_funct_2(A, k1_numbers, k1_fuzzy_2(A, B, C), k4_fuzzy_1(A)) => r1_fuzzy_1(B, C)) ) ) ) ) ) ) ).
fof(t27_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (r2_funct_2(A, k1_numbers, k1_fuzzy_1(A, B, C), k4_fuzzy_1(A)) => r2_funct_2(A, k1_numbers, k1_fuzzy_2(A, B, C), B)) ) ) ) ) ) ) ).
fof(d2_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (D=k2_fuzzy_2(A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) => k3_funct_2(A, k1_numbers, D, E)=k4_real_1(k3_funct_2(A, k1_numbers, B, E), k3_funct_2(A, k1_numbers, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (D=k3_fuzzy_2(A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) => k3_funct_2(A, k1_numbers, D, E)=k5_real_1(k3_real_1(k3_funct_2(A, k1_numbers, B, E), k3_funct_2(A, k1_numbers, C, E)), k4_real_1(k3_funct_2(A, k1_numbers, B, E), k3_funct_2(A, k1_numbers, C, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (r1_fuzzy_1(k2_fuzzy_2(A, B, B), B) & r1_fuzzy_1(B, k3_fuzzy_2(A, B, B))) ) ) ) ) ).
fof(t29_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r2_funct_2(A, k1_numbers, k2_fuzzy_2(A, k2_fuzzy_2(A, B, D), C), k2_fuzzy_2(A, B, k2_fuzzy_2(A, D, C)))) ) ) ) ) ) ) ) ).
fof(t30_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r2_funct_2(A, k1_numbers, k3_fuzzy_2(A, k3_fuzzy_2(A, B, D), C), k3_fuzzy_2(A, B, k3_fuzzy_2(A, D, C)))) ) ) ) ) ) ) ) ).
fof(t31_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (r1_fuzzy_1(k2_fuzzy_2(A, B, k3_fuzzy_2(A, B, C)), B) & r1_fuzzy_1(B, k3_fuzzy_2(A, B, k2_fuzzy_2(A, B, C)))) ) ) ) ) ) ) ).
fof(t32_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r1_fuzzy_1(k2_fuzzy_2(A, B, k3_fuzzy_2(A, D, C)), k3_fuzzy_2(A, k2_fuzzy_2(A, B, D), k2_fuzzy_2(A, B, C)))) ) ) ) ) ) ) ) ).
fof(t33_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r1_fuzzy_1(k2_fuzzy_2(A, k3_fuzzy_2(A, B, D), k3_fuzzy_2(A, B, C)), k3_fuzzy_2(A, B, k2_fuzzy_2(A, D, C)))) ) ) ) ) ) ) ) ).
fof(t34_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r2_funct_2(A, k1_numbers, k3_fuzzy_1(A, k2_fuzzy_2(A, B, C)), k3_fuzzy_2(A, k3_fuzzy_1(A, B), k3_fuzzy_1(A, C)))) ) ) ) ) ) ).
fof(t35_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r2_funct_2(A, k1_numbers, k3_fuzzy_1(A, k3_fuzzy_2(A, B, C)), k2_fuzzy_2(A, k3_fuzzy_1(A, B), k3_fuzzy_1(A, C)))) ) ) ) ) ) ).
fof(t36_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r2_funct_2(A, k1_numbers, k3_fuzzy_2(A, B, C), k3_fuzzy_1(A, k2_fuzzy_2(A, k3_fuzzy_1(A, B), k3_fuzzy_1(A, C))))) ) ) ) ) ) ).
fof(t37_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (r2_funct_2(A, k1_numbers, k2_fuzzy_2(A, B, k4_fuzzy_1(A)), k4_fuzzy_1(A)) & r2_funct_2(A, k1_numbers, k2_fuzzy_2(A, B, k5_fuzzy_1(A)), B)) ) ) ) ) ).
fof(t38_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (r2_funct_2(A, k1_numbers, k3_fuzzy_2(A, B, k4_fuzzy_1(A)), B) & r2_funct_2(A, k1_numbers, k3_fuzzy_2(A, B, k5_fuzzy_1(A)), k5_fuzzy_1(A))) ) ) ) ) ).
fof(t39_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r1_fuzzy_1(k2_fuzzy_2(A, B, C), k1_fuzzy_1(A, B, C))) ) ) ) ) ) ).
fof(t40_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r1_fuzzy_1(k2_fuzzy_1(A, B, C), k3_fuzzy_2(A, B, C))) ) ) ) ) ) ).
fof(t41_fuzzy_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (r1_xxreal_0(k5_numbers, C) =>  (k3_xcmplx_0(C, k4_xxreal_0(A, B))=k4_xxreal_0(k3_xcmplx_0(C, A), k3_xcmplx_0(C, B)) & k3_xcmplx_0(C, k3_xxreal_0(A, B))=k3_xxreal_0(k3_xcmplx_0(C, A), k3_xcmplx_0(C, B))) ) ) ) ) ) ) ) ).
fof(t42_fuzzy_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (k2_xcmplx_0(C, k4_xxreal_0(A, B))=k4_xxreal_0(k2_xcmplx_0(C, A), k2_xcmplx_0(C, B)) & k2_xcmplx_0(C, k3_xxreal_0(A, B))=k3_xxreal_0(k2_xcmplx_0(C, A), k2_xcmplx_0(C, B))) ) ) ) ) ) ) ).
fof(t43_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r2_funct_2(A, k1_numbers, k2_fuzzy_2(A, B, k2_fuzzy_1(A, D, C)), k2_fuzzy_1(A, k2_fuzzy_2(A, B, D), k2_fuzzy_2(A, B, C)))) ) ) ) ) ) ) ) ).
fof(t44_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r2_funct_2(A, k1_numbers, k2_fuzzy_2(A, B, k1_fuzzy_1(A, D, C)), k1_fuzzy_1(A, k2_fuzzy_2(A, B, D), k2_fuzzy_2(A, B, C)))) ) ) ) ) ) ) ) ).
fof(t45_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r2_funct_2(A, k1_numbers, k3_fuzzy_2(A, B, k2_fuzzy_1(A, D, C)), k2_fuzzy_1(A, k3_fuzzy_2(A, B, D), k3_fuzzy_2(A, B, C)))) ) ) ) ) ) ) ) ).
fof(t46_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r2_funct_2(A, k1_numbers, k3_fuzzy_2(A, B, k1_fuzzy_1(A, D, C)), k1_fuzzy_1(A, k3_fuzzy_2(A, B, D), k3_fuzzy_2(A, B, C)))) ) ) ) ) ) ) ) ).
fof(t47_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r1_fuzzy_1(k2_fuzzy_2(A, k2_fuzzy_1(A, B, D), k2_fuzzy_1(A, B, C)), k2_fuzzy_1(A, B, k2_fuzzy_2(A, D, C)))) ) ) ) ) ) ) ) ).
fof(t48_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r1_fuzzy_1(k2_fuzzy_2(A, k1_fuzzy_1(A, B, D), k1_fuzzy_1(A, B, C)), k1_fuzzy_1(A, B, k2_fuzzy_2(A, D, C)))) ) ) ) ) ) ) ) ).
fof(t49_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => k3_funct_2(A, k1_numbers, k3_fuzzy_2(A, C, D), B)=k6_xcmplx_0(1, k3_xcmplx_0(k6_xcmplx_0(1, k3_funct_2(A, k1_numbers, C, B)), k6_xcmplx_0(1, k3_funct_2(A, k1_numbers, D, B))))) ) ) ) ) ) ) ) ).
fof(t50_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r1_fuzzy_1(k2_fuzzy_1(A, B, k3_fuzzy_2(A, D, C)), k3_fuzzy_2(A, k2_fuzzy_1(A, B, D), k2_fuzzy_1(A, B, C)))) ) ) ) ) ) ) ) ).
fof(t51_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r1_fuzzy_1(k1_fuzzy_1(A, B, k3_fuzzy_2(A, D, C)), k3_fuzzy_2(A, k1_fuzzy_1(A, B, D), k1_fuzzy_1(A, B, C)))) ) ) ) ) ) ) ) ).
fof(d4_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  => k4_fuzzy_2(A, B)=k5_funct_3(k1_xboole_0, k2_zfmisc_1(A, B))) ) ) ) ).
fof(d5_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  => k5_fuzzy_2(A, B)=k5_funct_3(k2_zfmisc_1(A, B), k2_zfmisc_1(A, B))) ) ) ) ).
fof(t52_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(A, B)) =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  =>  (r1_xxreal_0(k3_funct_2(k2_zfmisc_1(A, B), k1_numbers, k4_fuzzy_2(A, B), C), k3_funct_2(k2_zfmisc_1(A, B), k1_numbers, D, C)) & r1_xxreal_0(k3_funct_2(k2_zfmisc_1(A, B), k1_numbers, D, C), k3_funct_2(k2_zfmisc_1(A, B), k1_numbers, k5_fuzzy_2(A, B), C))) ) ) ) ) ) ) ) ) ).
fof(t53_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  =>  (r2_funct_2(k2_zfmisc_1(A, B), k1_numbers, k2_fuzzy_1(k2_zfmisc_1(A, B), C, k5_fuzzy_2(A, B)), k5_fuzzy_2(A, B)) &  (r2_funct_2(k2_zfmisc_1(A, B), k1_numbers, k1_fuzzy_1(k2_zfmisc_1(A, B), C, k5_fuzzy_2(A, B)), C) &  (r2_funct_2(k2_zfmisc_1(A, B), k1_numbers, k2_fuzzy_1(k2_zfmisc_1(A, B), C, k4_fuzzy_2(A, B)), C) & r2_funct_2(k2_zfmisc_1(A, B), k1_numbers, k1_fuzzy_1(k2_zfmisc_1(A, B), C, k4_fuzzy_2(A, B)), k4_fuzzy_2(A, B))) ) ) ) ) ) ) ) ) ).
fof(t54_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (r2_funct_2(k2_zfmisc_1(A, B), k1_numbers, k3_fuzzy_1(k2_zfmisc_1(A, B), k4_fuzzy_2(A, B)), k5_fuzzy_2(A, B)) & r2_funct_2(k2_zfmisc_1(A, B), k1_numbers, k3_fuzzy_1(k2_zfmisc_1(A, B), k5_fuzzy_2(A, B)), k4_fuzzy_2(A, B))) ) ) ) ) ).
fof(t55_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  =>  (r2_funct_2(k2_zfmisc_1(A, B), k1_numbers, k1_fuzzy_2(k2_zfmisc_1(A, B), C, D), k4_fuzzy_2(A, B)) => r1_fuzzy_1(C, D)) ) ) ) ) ) ) ) ) ).
fof(t56_fuzzy_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  =>  (r2_funct_2(k2_zfmisc_1(A, B), k1_numbers, k1_fuzzy_1(k2_zfmisc_1(A, B), C, D), k4_fuzzy_2(A, B)) => r2_funct_2(k2_zfmisc_1(A, B), k1_numbers, k1_fuzzy_2(k2_zfmisc_1(A, B), C, D), C)) ) ) ) ) ) ) ) ) ).
fof(dt_k1_fuzzy_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  &  (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) )  =>  (v5_relat_1(k1_fuzzy_2(A, B, C), k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(k1_fuzzy_2(A, B, C)) &  (v1_funct_2(k1_fuzzy_2(A, B, C), A, k1_numbers) & m1_subset_1(k1_fuzzy_2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ).
fof(dt_k2_fuzzy_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  &  (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) )  =>  (v5_relat_1(k2_fuzzy_2(A, B, C), k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(k2_fuzzy_2(A, B, C)) &  (v1_funct_2(k2_fuzzy_2(A, B, C), A, k1_numbers) & m1_subset_1(k2_fuzzy_2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ).
fof(commutativity_k2_fuzzy_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  &  (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) )  => k2_fuzzy_2(A, B, C)=k2_fuzzy_2(A, C, B)) ) ).
fof(dt_k3_fuzzy_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  &  (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) )  =>  (v5_relat_1(k3_fuzzy_2(A, B, C), k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(k3_fuzzy_2(A, B, C)) &  (v1_funct_2(k3_fuzzy_2(A, B, C), A, k1_numbers) & m1_subset_1(k3_fuzzy_2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ).
fof(commutativity_k3_fuzzy_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  &  (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) )  => k3_fuzzy_2(A, B, C)=k3_fuzzy_2(A, C, B)) ) ).
fof(dt_k4_fuzzy_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  (v5_relat_1(k4_fuzzy_2(A, B), k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(k4_fuzzy_2(A, B)) &  (v1_funct_2(k4_fuzzy_2(A, B), k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(k4_fuzzy_2(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) ) ) ) ).
fof(dt_k5_fuzzy_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  (v5_relat_1(k5_fuzzy_2(A, B), k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(k5_fuzzy_2(A, B)) &  (v1_funct_2(k5_fuzzy_2(A, B), k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(k5_fuzzy_2(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) ) ) ) ).
fof(fc1_fuzzy_4, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  =>  ~ (v1_xboole_0(k10_xtuple_0(B))) ) ) ).
fof(t1_fuzzy_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v5_xxreal_2(k2_relset_1(k1_numbers, B)) &  ( (! [C] :  (r2_tarski(C, k1_relset_1(A, B)) => r1_xxreal_0(k1_funct_1(B, C), k2_seq_4(k2_relset_1(k1_numbers, B)))) )  &  (! [C] :  (r2_tarski(C, k1_relset_1(A, B)) => r1_xxreal_0(k3_seq_4(k2_relset_1(k1_numbers, B)), k1_funct_1(B, C))) ) ) ) ) ) ) ) ).
fof(t2_fuzzy_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  ( (! [D] :  (r2_tarski(D, A) => r1_xxreal_0(k1_funct_1(B, D), k1_funct_1(C, D))) )  => r1_xxreal_0(k2_seq_4(k2_relset_1(k1_numbers, B)), k2_seq_4(k2_relset_1(k1_numbers, C)))) ) ) ) ) ) ) ).
fof(t3_fuzzy_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  =>  (! [D] :  (r1_xxreal_0(k5_numbers, k1_funct_1(C, D)) & r1_xxreal_0(k1_funct_1(C, D), 1)) ) ) ) ) ) ) ) ).
fof(t4_fuzzy_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  =>  (! [D] :  (! [E] :  (r1_xxreal_0(k5_numbers, k1_binop_1(C, D, E)) & r1_xxreal_0(k1_binop_1(C, D, E), 1)) ) ) ) ) ) ) ) ) ).
fof(d1_fuzzy_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, A), k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  =>  (D=k1_fuzzy_4(A, B, C) <=>  (! [E] :  (! [F] :  (r2_hidden(k4_tarski(E, F), k2_zfmisc_1(A, B)) => k1_binop_1(D, E, F)=k1_binop_1(C, F, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_fuzzy_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  => r2_relset_1(k2_zfmisc_1(A, B), k1_numbers, k1_fuzzy_4(A, B, k1_fuzzy_4(B, A, C)), C)) ) ) ) ) ) ).
fof(t6_fuzzy_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  => r2_relset_1(k2_zfmisc_1(B, A), k1_numbers, k3_fuzzy_1(k2_zfmisc_1(B, A), k1_fuzzy_4(B, A, C)), k1_fuzzy_4(B, A, k3_fuzzy_1(k2_zfmisc_1(A, B), C)))) ) ) ) ) ) ).
fof(t7_fuzzy_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  => r2_relset_1(k2_zfmisc_1(B, A), k1_numbers, k1_fuzzy_4(B, A, k2_fuzzy_1(k2_zfmisc_1(A, B), C, D)), k2_fuzzy_1(k2_zfmisc_1(B, A), k1_fuzzy_4(B, A, C), k1_fuzzy_4(B, A, D)))) ) ) ) ) ) ) ) ).
fof(t8_fuzzy_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  => r2_relset_1(k2_zfmisc_1(B, A), k1_numbers, k1_fuzzy_4(B, A, k1_fuzzy_1(k2_zfmisc_1(A, B), C, D)), k1_fuzzy_1(k2_zfmisc_1(B, A), k1_fuzzy_4(B, A, C), k1_fuzzy_4(B, A, D)))) ) ) ) ) ) ) ) ).
fof(t9_fuzzy_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  =>  (! [E] :  (! [F] :  ( (r2_tarski(E, A) &  (r2_tarski(F, B) & r1_xxreal_0(k1_funct_1(C, k4_tarski(E, F)), k1_funct_1(D, k4_tarski(E, F)))) )  => r1_xxreal_0(k1_funct_1(k1_fuzzy_4(B, A, C), k4_tarski(F, E)), k1_funct_1(k1_fuzzy_4(B, A, D), k4_tarski(F, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_fuzzy_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  =>  (r1_fuzzy_1(C, D) => r1_fuzzy_1(k1_fuzzy_4(B, A, C), k1_fuzzy_4(B, A, D))) ) ) ) ) ) ) ) ) ).
fof(t11_fuzzy_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  => r2_relset_1(k2_zfmisc_1(B, A), k1_numbers, k1_fuzzy_4(B, A, k1_fuzzy_2(k2_zfmisc_1(A, B), C, D)), k1_fuzzy_2(k2_zfmisc_1(B, A), k1_fuzzy_4(B, A, C), k1_fuzzy_4(B, A, D)))) ) ) ) ) ) ) ) ).
fof(t12_fuzzy_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  => r2_relset_1(k2_zfmisc_1(B, A), k1_numbers, k1_fuzzy_4(B, A, k6_fuzzy_1(k2_zfmisc_1(A, B), C, D)), k6_fuzzy_1(k2_zfmisc_1(B, A), k1_fuzzy_4(B, A, C), k1_fuzzy_4(B, A, D)))) ) ) ) ) ) ) ) ).
fof(d2_fuzzy_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  =>  (! [E] :  ( (v5_relat_1(E, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, C), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), k1_numbers)))) ) )  =>  (! [F] :  (! [G] :  ( (r2_hidden(F, A) & r2_hidden(G, C))  =>  (! [H] :  ( (v5_relat_1(H, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(H) &  (v1_funct_2(H, B, k1_numbers) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) ) )  =>  (H=k2_fuzzy_4(A, B, C, D, E, F, G) <=>  (! [I] :  (m1_subset_1(I, B) => k1_funct_1(H, I)=k3_xxreal_0(k1_funct_1(D, k4_tarski(F, I)), k1_funct_1(E, k4_tarski(I, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_fuzzy_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  =>  (! [E] :  ( (v5_relat_1(E, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, C), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), k1_numbers)))) ) )  =>  (! [F] :  ( (v5_relat_1(F, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(A, C), k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, C), k1_numbers)))) ) )  =>  (F=k3_fuzzy_4(A, B, C, D, E) <=>  (! [G] :  (! [H] :  (r2_hidden(k4_tarski(G, H), k2_zfmisc_1(A, C)) => k1_binop_1(F, G, H)=k2_seq_4(k2_relset_1(k1_numbers, k2_fuzzy_4(A, B, C, D, E, G, H)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_fuzzy_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  =>  (! [E] :  ( (v5_relat_1(E, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, C), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), k1_numbers)))) ) )  =>  (! [F] :  ( (v5_relat_1(F, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(B, C), k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), k1_numbers)))) ) )  => r2_relset_1(k2_zfmisc_1(A, C), k1_numbers, k3_fuzzy_4(A, B, C, D, k2_fuzzy_1(k2_zfmisc_1(B, C), E, F)), k2_fuzzy_1(k2_zfmisc_1(A, C), k3_fuzzy_4(A, B, C, D, E), k3_fuzzy_4(A, B, C, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_fuzzy_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  =>  (! [E] :  ( (v5_relat_1(E, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  =>  (! [F] :  ( (v5_relat_1(F, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(B, C), k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), k1_numbers)))) ) )  => r2_relset_1(k2_zfmisc_1(A, C), k1_numbers, k3_fuzzy_4(A, B, C, k2_fuzzy_1(k2_zfmisc_1(A, B), D, E), F), k2_fuzzy_1(k2_zfmisc_1(A, C), k3_fuzzy_4(A, B, C, D, F), k3_fuzzy_4(A, B, C, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_fuzzy_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  =>  (! [E] :  ( (v5_relat_1(E, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, C), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), k1_numbers)))) ) )  =>  (! [F] :  ( (v5_relat_1(F, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(B, C), k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), k1_numbers)))) ) )  => r1_fuzzy_1(k3_fuzzy_4(A, B, C, D, k1_fuzzy_1(k2_zfmisc_1(B, C), E, F)), k1_fuzzy_1(k2_zfmisc_1(A, C), k3_fuzzy_4(A, B, C, D, E), k3_fuzzy_4(A, B, C, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_fuzzy_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  =>  (! [E] :  ( (v5_relat_1(E, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  =>  (! [F] :  ( (v5_relat_1(F, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(B, C), k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), k1_numbers)))) ) )  => r1_fuzzy_1(k3_fuzzy_4(A, B, C, k1_fuzzy_1(k2_zfmisc_1(A, B), D, E), F), k1_fuzzy_1(k2_zfmisc_1(A, C), k3_fuzzy_4(A, B, C, D, F), k3_fuzzy_4(A, B, C, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_fuzzy_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  =>  (! [E] :  ( (v5_relat_1(E, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, C), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), k1_numbers)))) ) )  => r2_relset_1(k2_zfmisc_1(C, A), k1_numbers, k1_fuzzy_4(C, A, k3_fuzzy_4(A, B, C, D, E)), k3_fuzzy_4(C, B, A, k1_fuzzy_4(C, B, E), k1_fuzzy_4(B, A, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t18_fuzzy_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  =>  (! [E] :  ( (v5_relat_1(E, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  =>  (! [F] :  ( (v5_relat_1(F, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(B, C), k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), k1_numbers)))) ) )  =>  (! [G] :  ( (v5_relat_1(G, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(B, C), k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), k1_numbers)))) ) )  =>  (! [H] :  (! [I] :  ( (r2_tarski(H, A) &  (r2_tarski(I, C) &  (! [J] :  (r2_tarski(J, B) =>  (r1_xxreal_0(k1_funct_1(D, k4_tarski(H, J)), k1_funct_1(E, k4_tarski(H, J))) & r1_xxreal_0(k1_funct_1(F, k4_tarski(J, I)), k1_funct_1(G, k4_tarski(J, I)))) ) ) ) )  => r1_xxreal_0(k1_funct_1(k3_fuzzy_4(A, B, C, D, F), k4_tarski(H, I)), k1_funct_1(k3_fuzzy_4(A, B, C, E, G), k4_tarski(H, I)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_fuzzy_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  =>  (! [E] :  ( (v5_relat_1(E, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  =>  (! [F] :  ( (v5_relat_1(F, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(B, C), k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), k1_numbers)))) ) )  =>  (! [G] :  ( (v5_relat_1(G, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(B, C), k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), k1_numbers)))) ) )  =>  ( (r1_fuzzy_1(D, E) & r1_fuzzy_1(F, G))  => r1_fuzzy_1(k3_fuzzy_4(A, B, C, D, F), k3_fuzzy_4(A, B, C, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_fuzzy_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  =>  (C=k4_fuzzy_4(A, B) <=>  (! [D] :  (! [E] :  (r2_hidden(k4_tarski(D, E), k2_zfmisc_1(A, B)) =>  ( (D=E => k1_binop_1(C, D, E)=1)  &  ( ~ (D=E)  => k1_binop_1(C, D, E)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_fuzzy_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(A, B)) =>  (k1_funct_1(k4_fuzzy_2(A, B), C)=k5_numbers & k1_funct_1(k5_fuzzy_2(A, B), C)=1) ) ) ) ) ) ) ).
fof(t21_fuzzy_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (! [D] :  (r2_hidden(k4_tarski(C, D), k2_zfmisc_1(A, B)) =>  (k1_funct_1(k4_fuzzy_2(A, B), k4_tarski(C, D))=k5_numbers & k1_funct_1(k5_fuzzy_2(A, B), k4_tarski(C, D))=1) ) ) ) ) ) ) ) ).
fof(t22_fuzzy_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(B, C), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), k1_numbers)))) ) )  => r2_relset_1(k2_zfmisc_1(A, C), k1_numbers, k3_fuzzy_4(A, B, C, k4_fuzzy_2(A, B), D), k4_fuzzy_2(A, C))) ) ) ) ) ) ) ) ).
fof(t23_fuzzy_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  => r2_relset_1(k2_zfmisc_1(A, C), k1_numbers, k3_fuzzy_4(A, B, C, D, k4_fuzzy_2(B, C)), k4_fuzzy_2(A, C))) ) ) ) ) ) ) ) ).
fof(t24_fuzzy_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  => r2_relset_1(k2_zfmisc_1(A, A), k1_numbers, k3_fuzzy_4(A, A, A, B, k4_fuzzy_2(A, A)), k3_fuzzy_4(A, A, A, k4_fuzzy_2(A, A), B))) ) ) ) ).
fof(t25_fuzzy_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, B) =>  ( (C=D => k2_binop_1(A, B, k1_numbers, k4_fuzzy_4(A, B), C, D)=1)  &  ( ~ (C=D)  => k2_binop_1(A, B, k1_numbers, k4_fuzzy_4(A, B), C, D)=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t26_fuzzy_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v5_relat_1(E, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  => k2_binop_1(B, A, k1_numbers, k1_fuzzy_4(B, A, E), D, C)=k2_binop_1(A, B, k1_numbers, E, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_fuzzy_4, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, A), k1_numbers)))) ) ) ) )  =>  (v5_relat_1(k1_fuzzy_4(A, B, C), k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(k1_fuzzy_4(A, B, C)) &  (v1_funct_2(k1_fuzzy_4(A, B, C), k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(k1_fuzzy_4(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) ) ) ) ).
fof(redefinition_k1_fuzzy_4, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, A), k1_numbers)))) ) ) ) )  => k1_fuzzy_4(A, B, C)=k2_funct_4(C)) ) ).
fof(dt_k2_fuzzy_4, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  &  (v5_relat_1(E, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, C), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), k1_numbers)))) ) ) ) ) ) )  =>  (v5_relat_1(k2_fuzzy_4(A, B, C, D, E, F, G), k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(k2_fuzzy_4(A, B, C, D, E, F, G)) &  (v1_funct_2(k2_fuzzy_4(A, B, C, D, E, F, G), B, k1_numbers) & m1_subset_1(k2_fuzzy_4(A, B, C, D, E, F, G), k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) ) ) ) ) ).
fof(dt_k3_fuzzy_4, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  &  (v5_relat_1(E, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, C), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), k1_numbers)))) ) ) ) ) ) )  =>  (v5_relat_1(k3_fuzzy_4(A, B, C, D, E), k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(k3_fuzzy_4(A, B, C, D, E)) &  (v1_funct_2(k3_fuzzy_4(A, B, C, D, E), k2_zfmisc_1(A, C), k1_numbers) & m1_subset_1(k3_fuzzy_4(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, C), k1_numbers)))) ) ) ) ) ).
fof(dt_k4_fuzzy_4, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  (v5_relat_1(k4_fuzzy_4(A, B), k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(k4_fuzzy_4(A, B)) &  (v1_funct_2(k4_fuzzy_4(A, B), k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(k4_fuzzy_4(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) ) ) ) ).
fof(cc1_fvaluat1, axiom,  (! [A] :  (v1_fvaluat1(A) => v1_xxreal_0(A)) ) ).
fof(fc1_fvaluat1, axiom, v1_fvaluat1(k1_xxreal_0)).
fof(fc2_fvaluat1, axiom,  ~ (v1_fvaluat1(k2_xxreal_0)) ).
fof(fc3_fvaluat1, axiom,  (v2_xxreal_0(k18_supinf_2) &  (v1_xreal_0(k18_supinf_2) & v1_fvaluat1(k18_supinf_2)) ) ).
fof(cc2_fvaluat1, axiom,  (! [A] :  (v1_int_1(A) => v1_fvaluat1(A)) ) ).
fof(cc3_fvaluat1, axiom,  (! [A] :  ( (v1_xreal_0(A) & v1_fvaluat1(A))  => v1_int_1(A)) ) ).
fof(rc1_fvaluat1, axiom,  (? [A] :  (m1_subset_1(A, k6_numbers) &  (v1_xxreal_0(A) &  (v2_xxreal_0(A) &  (v1_xreal_0(A) & v1_fvaluat1(A)) ) ) ) ) ).
fof(rc2_fvaluat1, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v2_xxreal_0(A) & v1_fvaluat1(A)) ) ) ).
fof(rc3_fvaluat1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v2_fvaluat1(A)) ) ) ).
fof(rc4_fvaluat1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k6_numbers) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) & v2_fvaluat1(B)) ) ) ) ) ) ) ) ).
fof(fc4_fvaluat1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_fvaluat1(A)) )  => v1_fvaluat1(k1_funct_1(A, B))) ) ).
fof(fc5_fvaluat1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  & v7_ordinal1(C)) )  =>  ( ~ (v1_xboole_0(k2_fvaluat1(A, B, C)))  &  (v1_ideal_1(k2_fvaluat1(A, B, C), A) &  (v2_ideal_1(k2_fvaluat1(A, B, C), A) & v3_ideal_1(k2_fvaluat1(A, B, C), A)) ) ) ) ) ).
fof(rc5_fvaluat1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  (? [C] :  (m2_fvaluat1(C, A, B) &  ( ~ (v2_struct_0(C))  &  (v5_algstr_0(C) &  (v6_algstr_0(C) &  (v7_algstr_0(C) &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v2_vectsp_2(C, A) &  (v4_vectsp_2(C, A) &  (v1_algstr_1(C) &  (v2_algstr_1(C) &  (v3_algstr_1(C) & v4_algstr_1(C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc6_fvaluat1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  & m1_rmod_2(C, A, B)) )  =>  (v1_funct_1(k1_yellow_9(B, C)) &  (v1_funct_2(k1_yellow_9(B, C), u1_struct_0(C), u1_struct_0(B)) &  (v13_vectsp_1(k1_yellow_9(B, C), C, B) & v4_fvaluat1(k1_yellow_9(B, C), A, C, B)) ) ) ) ) ).
fof(t1_fvaluat1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (A=k2_xxreal_3(A) => A=k5_numbers) ) ) ).
fof(t2_fvaluat1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (k1_xxreal_3(A, A)=k5_numbers => A=k5_numbers) ) ) ).
fof(t3_fvaluat1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  (v1_xxreal_0(C) =>  (! [D] :  (v1_xxreal_0(D) =>  ( (r1_xxreal_0(k5_numbers, A) &  (r1_xxreal_0(A, B) &  (r1_xxreal_0(k5_numbers, D) & r1_xxreal_0(D, C)) ) )  => r1_xxreal_0(k4_xxreal_3(A, D), k4_xxreal_3(B, C))) ) ) ) ) ) ) ) ) ).
fof(t4_fvaluat1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  ~ ( ( ~ (B=k1_xxreal_0)  &  ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(B, k5_numbers))  & r1_xxreal_0(k2_extreal1(A, B), k5_numbers)) ) ) ) ) ) ) ) ).
fof(t5_fvaluat1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  ~ ( ( ~ (B=k1_xxreal_0)  &  ( ~ (r1_xxreal_0(k5_numbers, A))  &  ( ~ (r1_xxreal_0(B, k5_numbers))  & r1_xxreal_0(k5_numbers, k2_extreal1(A, B))) ) ) ) ) ) ) ) ).
fof(t6_fvaluat1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  ~ ( ( ~ (B=k2_xxreal_0)  &  ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(k5_numbers, B))  & r1_xxreal_0(k5_numbers, k2_extreal1(A, B))) ) ) ) ) ) ) ) ).
fof(t7_fvaluat1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  (v1_xxreal_0(C) =>  ( ( (r2_hidden(A, k1_numbers) & r2_hidden(B, k1_numbers))  | r2_hidden(C, k1_numbers))  => k2_extreal1(k1_xxreal_3(A, B), C)=k3_supinf_2(k2_extreal1(A, C), k2_extreal1(B, C))) ) ) ) ) ) ) ).
fof(t8_fvaluat1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  ~ ( ( ~ (B=k1_xxreal_0)  &  ( ~ (B=k2_xxreal_0)  &  ( ~ (B=k5_numbers)  &  ~ (k4_xxreal_3(k2_extreal1(A, B), B)=A) ) ) ) ) ) ) ) ) ).
fof(t9_fvaluat1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  ~ ( ( ~ (B=k2_xxreal_0)  &  ( ~ (B=k1_xxreal_0)  &  ( ~ (A=k5_numbers)  &  ( ~ (B=k5_numbers)  & k2_extreal1(A, B)=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(d1_fvaluat1, axiom,  (! [A] :  (v1_fvaluat1(A) <=>  (v1_int_1(A) | A=k1_xxreal_0) ) ) ).
fof(t10_fvaluat1, axiom,  (! [A] :  (v1_fvaluat1(A) =>  (! [B] :  (v1_fvaluat1(B) =>  ( ~ (r1_xxreal_0(B, A))  => r1_xxreal_0(k1_xxreal_3(A, 1), B)) ) ) ) ) ).
fof(t11_fvaluat1, axiom,  (! [A] :  (v1_fvaluat1(A) =>  ~ (r1_xxreal_0(A, k2_xxreal_0)) ) ) ).
fof(d2_fvaluat1, axiom,  (! [A] :  (v2_membered(A) =>  ( (? [B] :  ( (v2_xxreal_0(B) & v1_fvaluat1(B))  & r2_hidden(B, A)) )  =>  (! [B] :  ( (v2_xxreal_0(B) & v1_fvaluat1(B))  =>  (B=k1_fvaluat1(A) <=>  (r2_hidden(B, A) &  (! [C] :  ( (v2_xxreal_0(C) & v1_fvaluat1(C))  =>  (r2_hidden(C, A) => r1_xxreal_0(B, C)) ) ) ) ) ) ) ) ) ) ).
fof(d3_fvaluat1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v2_fvaluat1(A) <=>  (! [B] :  (r2_tarski(B, k10_xtuple_0(A)) => v1_fvaluat1(B)) ) ) ) ) ).
fof(t12_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v6_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) )  => k6_algstr_0(A, k4_algstr_0(A, k5_struct_0(A)), k4_algstr_0(A, k5_struct_0(A)))=k5_struct_0(A)) ) ).
fof(d4_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (C=k5_numbers =>  (D=k2_fvaluat1(A, B, C) <=> D=u1_struct_0(A)) )  &  ( ~ (C=k5_numbers)  =>  (D=k2_fvaluat1(A, B, C) <=>  (? [E] :  (m2_finseq_1(E, k1_zfmisc_1(u1_struct_0(A))) &  (D=k1_funct_1(E, k3_finseq_1(E)) &  (k3_finseq_1(E)=C &  (k1_funct_1(E, 1)=B &  (! [F] :  (v7_ordinal1(F) =>  ( (r2_tarski(F, k4_finseq_1(E)) & r2_tarski(k2_xcmplx_0(F, 1), k4_finseq_1(E)))  => k1_funct_1(E, k2_xcmplx_0(F, 1))=k14_ideal_1(A, B, k7_partfun1(k1_zfmisc_1(u1_struct_0(A)), E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k2_fvaluat1(A, B, 1)=B) ) ) ) ).
fof(t14_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k2_fvaluat1(A, B, 2)=k14_ideal_1(A, B, B)) ) ) ) ).
fof(d5_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_int_1(C) =>  ( (r1_xxreal_0(k5_numbers, C) => k3_fvaluat1(A, B, C)=k2_binop_1(u1_struct_0(A), k4_ordinal1, u1_struct_0(A), k4_group_1(A), B, k1_int_2(C)))  &  ( ~ (r1_xxreal_0(k5_numbers, C))  => k3_fvaluat1(A, B, C)=k9_algstr_0(A, k2_binop_1(u1_struct_0(A), k4_ordinal1, u1_struct_0(A), k4_group_1(A), B, k1_int_2(C)))) ) ) ) ) ) ) ) ).
fof(d6_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) => k3_fvaluat1(A, B, C)=k1_binop_1(k4_group_1(A), B, C)) ) ) ) ) ) ).
fof(t15_fvaluat1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v1_realset2(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) => k3_fvaluat1(C, D, k2_xcmplx_0(A, B))=k8_group_1(C, k3_fvaluat1(C, D, A), k3_fvaluat1(C, D, B))) ) ) ) ) ) ) ) ).
fof(t16_fvaluat1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v1_realset2(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  ~ ( ( ~ (C=k4_struct_0(B))  & k3_fvaluat1(B, C, A)=k4_struct_0(B)) ) ) ) ) ) ) ) ).
fof(d7_fvaluat1, axiom,  (! [A] :  (l6_algstr_0(A) =>  (v3_fvaluat1(A) <=>  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k6_numbers) &  (v2_fvaluat1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k6_numbers)))) ) )  &  (k1_funct_1(B, k4_struct_0(A))=k1_xxreal_0 &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (C=k4_struct_0(A))  => r2_tarski(k1_funct_1(B, C), k4_numbers)) ) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_funct_1(B, k6_algstr_0(A, C, D))=k1_xxreal_3(k1_funct_1(B, C), k1_funct_1(B, D))) ) ) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_xxreal_0(k5_numbers, k1_funct_1(B, C)) => r1_xxreal_0(k5_numbers, k1_funct_1(B, k1_algstr_0(A, k5_struct_0(A), C)))) ) )  &  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  ( ~ (k1_funct_1(B, C)=k5_numbers)  &  ~ (k1_funct_1(B, C)=k1_xxreal_0) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_fvaluat1, axiom,  (! [A] :  (l6_algstr_0(A) =>  (v3_fvaluat1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k6_numbers) &  (v2_fvaluat1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k6_numbers)))) ) )  =>  (m1_fvaluat1(B, A) <=>  (k1_funct_1(B, k4_struct_0(A))=k1_xxreal_0 &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (C=k4_struct_0(A))  => r2_tarski(k1_funct_1(B, C), k4_numbers)) ) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_funct_1(B, k6_algstr_0(A, C, D))=k1_xxreal_3(k1_funct_1(B, C), k1_funct_1(B, D))) ) ) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_xxreal_0(k5_numbers, k1_funct_1(B, C)) => r1_xxreal_0(k5_numbers, k1_funct_1(B, k1_algstr_0(A, k5_struct_0(A), C)))) ) )  &  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  ( ~ (k1_funct_1(B, C)=k5_numbers)  &  ~ (k1_funct_1(B, C)=k1_xxreal_0) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_fvaluat1(B, A) =>  (v3_fvaluat1(A) => k3_funct_2(u1_struct_0(A), k6_numbers, B, k5_struct_0(A))=k5_numbers) ) ) ) ) ).
fof(t18_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_fvaluat1(C, A) =>  ~ ( (v3_fvaluat1(A) &  ( ~ (B=k4_struct_0(A))  & k3_funct_2(u1_struct_0(A), k6_numbers, C, B)=k1_xxreal_0) ) ) ) ) ) ) ) ) ).
fof(t19_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_fvaluat1(B, A) =>  (v3_fvaluat1(A) => k3_funct_2(u1_struct_0(A), k6_numbers, B, k4_algstr_0(A, k5_struct_0(A)))=k5_numbers) ) ) ) ) ).
fof(t20_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_fvaluat1(C, A) =>  (v3_fvaluat1(A) => k3_funct_2(u1_struct_0(A), k6_numbers, C, k4_algstr_0(A, B))=k3_funct_2(u1_struct_0(A), k6_numbers, C, B)) ) ) ) ) ) ) ).
fof(t21_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_fvaluat1(C, A) =>  (v3_fvaluat1(A) =>  (B=k4_struct_0(A) | k3_funct_2(u1_struct_0(A), k6_numbers, C, k9_algstr_0(A, B))=k2_supinf_2(k3_funct_2(u1_struct_0(A), k6_numbers, C, B))) ) ) ) ) ) ) ) ).
fof(t22_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_fvaluat1(D, A) =>  (v3_fvaluat1(A) =>  (C=k4_struct_0(A) | k3_funct_2(u1_struct_0(A), k6_numbers, D, k12_algstr_0(A, B, C))=k4_supinf_2(k3_funct_2(u1_struct_0(A), k6_numbers, D, B), k3_funct_2(u1_struct_0(A), k6_numbers, D, C))) ) ) ) ) ) ) ) ) ) ).
fof(t23_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_fvaluat1(D, A) =>  (v3_fvaluat1(A) =>  (B=k4_struct_0(A) |  (C=k4_struct_0(A) | k3_funct_2(u1_struct_0(A), k6_numbers, D, k12_algstr_0(A, B, C))=k2_supinf_2(k3_funct_2(u1_struct_0(A), k6_numbers, D, k12_algstr_0(A, C, B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_fvaluat1(D, A) =>  ( (v3_fvaluat1(A) & r1_xxreal_0(k5_numbers, k3_funct_2(u1_struct_0(A), k6_numbers, D, k12_algstr_0(A, B, C))))  =>  (C=k4_struct_0(A) | r1_xxreal_0(k3_funct_2(u1_struct_0(A), k6_numbers, D, C), k3_funct_2(u1_struct_0(A), k6_numbers, D, B))) ) ) ) ) ) ) ) ) ) ).
fof(t25_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_fvaluat1(D, A) =>  ( (v3_fvaluat1(A) & r1_xxreal_0(k3_funct_2(u1_struct_0(A), k6_numbers, D, k12_algstr_0(A, B, C)), k5_numbers))  =>  (B=k4_struct_0(A) |  (C=k4_struct_0(A) | r1_xxreal_0(k5_numbers, k3_funct_2(u1_struct_0(A), k6_numbers, D, k12_algstr_0(A, C, B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_fvaluat1(D, A) =>  ( (v3_fvaluat1(A) & r1_xxreal_0(k3_funct_2(u1_struct_0(A), k6_numbers, D, k12_algstr_0(A, B, C)), k5_numbers))  =>  (C=k4_struct_0(A) | r1_xxreal_0(k3_funct_2(u1_struct_0(A), k6_numbers, D, B), k3_funct_2(u1_struct_0(A), k6_numbers, D, C))) ) ) ) ) ) ) ) ) ) ).
fof(t27_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_fvaluat1(D, A) =>  (v3_fvaluat1(A) => r1_xxreal_0(k6_extreal1(k3_funct_2(u1_struct_0(A), k6_numbers, D, B), k3_funct_2(u1_struct_0(A), k6_numbers, D, C)), k3_funct_2(u1_struct_0(A), k6_numbers, D, k3_rlvect_1(A, B, C)))) ) ) ) ) ) ) ) ) ).
fof(t28_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_fvaluat1(D, A) =>  (v3_fvaluat1(A) =>  (r1_xxreal_0(k3_funct_2(u1_struct_0(A), k6_numbers, D, C), k3_funct_2(u1_struct_0(A), k6_numbers, D, B)) | k3_funct_2(u1_struct_0(A), k6_numbers, D, B)=k3_funct_2(u1_struct_0(A), k6_numbers, D, k3_rlvect_1(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t29_fvaluat1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v1_realset2(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_fvaluat1(D, B) =>  (v3_fvaluat1(B) =>  (C=k4_struct_0(B) | k3_funct_2(u1_struct_0(B), k6_numbers, D, k3_fvaluat1(B, C, A))=k4_xxreal_3(A, k3_funct_2(u1_struct_0(B), k6_numbers, D, C))) ) ) ) ) ) ) ) ) ) ).
fof(t30_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_fvaluat1(C, A) =>  ( (v3_fvaluat1(A) & r1_xxreal_0(k5_numbers, k3_funct_2(u1_struct_0(A), k6_numbers, C, k3_rlvect_1(A, k5_struct_0(A), B))))  => r1_xxreal_0(k5_numbers, k3_funct_2(u1_struct_0(A), k6_numbers, C, B))) ) ) ) ) ) ) ).
fof(t31_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_fvaluat1(C, A) =>  ( (v3_fvaluat1(A) & r1_xxreal_0(k5_numbers, k3_funct_2(u1_struct_0(A), k6_numbers, C, k5_algstr_0(A, k5_struct_0(A), B))))  => r1_xxreal_0(k5_numbers, k3_funct_2(u1_struct_0(A), k6_numbers, C, B))) ) ) ) ) ) ) ).
fof(t32_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_fvaluat1(D, A) =>  ( (v3_fvaluat1(A) & r1_xxreal_0(k3_funct_2(u1_struct_0(A), k6_numbers, D, B), k3_funct_2(u1_struct_0(A), k6_numbers, D, C)))  =>  (B=k4_struct_0(A) | r1_xxreal_0(k5_numbers, k3_funct_2(u1_struct_0(A), k6_numbers, D, k12_algstr_0(A, C, B)))) ) ) ) ) ) ) ) ) ) ).
fof(t33_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_fvaluat1(B, A) =>  (v3_fvaluat1(A) => r2_hidden(k1_xxreal_0, k2_relset_1(k6_numbers, B))) ) ) ) ) ).
fof(t34_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_fvaluat1(C, A) =>  (k3_funct_2(u1_struct_0(A), k6_numbers, C, B)=1 => k1_fvaluat1(k2_relset_1(k6_numbers, C))=1) ) ) ) ) ) ) ).
fof(t35_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_fvaluat1(B, A) =>  (v3_fvaluat1(A) => v1_int_1(k1_fvaluat1(k2_relset_1(k6_numbers, B)))) ) ) ) ) ).
fof(t36_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_fvaluat1(B, A) =>  (v3_fvaluat1(A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (C=k4_struct_0(A))  &  (! [D] :  (v1_int_1(D) =>  ~ (k3_funct_2(u1_struct_0(A), k6_numbers, B, C)=k4_xxreal_3(D, k1_fvaluat1(k2_relset_1(k6_numbers, B)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_fvaluat1(B, A) =>  (v3_fvaluat1(A) =>  (! [C] :  (m1_fvaluat1(C, A) =>  (C=k5_fvaluat1(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k6_numbers, B, D)=k4_xxreal_3(k3_funct_2(u1_struct_0(A), k6_numbers, C, D), k1_fvaluat1(k2_relset_1(k6_numbers, B)))) ) ) ) ) ) ) ) ) ) ).
fof(t37_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_fvaluat1(C, A) =>  (v3_fvaluat1(A) =>  (k3_funct_2(u1_struct_0(A), k6_numbers, C, B)=k5_numbers <=> k3_funct_2(u1_struct_0(A), k6_numbers, k5_fvaluat1(A, C), B)=k5_numbers) ) ) ) ) ) ) ) ).
fof(t38_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_fvaluat1(C, A) =>  (v3_fvaluat1(A) =>  (k3_funct_2(u1_struct_0(A), k6_numbers, C, B)=k1_xxreal_0 <=> k3_funct_2(u1_struct_0(A), k6_numbers, k5_fvaluat1(A, C), B)=k1_xxreal_0) ) ) ) ) ) ) ) ).
fof(t39_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_fvaluat1(D, A) =>  (v3_fvaluat1(A) =>  (k3_funct_2(u1_struct_0(A), k6_numbers, D, B)=k3_funct_2(u1_struct_0(A), k6_numbers, D, C) <=> k3_funct_2(u1_struct_0(A), k6_numbers, k5_fvaluat1(A, D), B)=k3_funct_2(u1_struct_0(A), k6_numbers, k5_fvaluat1(A, D), C)) ) ) ) ) ) ) ) ) ) ).
fof(t40_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_fvaluat1(C, A) =>  (v3_fvaluat1(A) =>  (v2_xxreal_0(k3_funct_2(u1_struct_0(A), k6_numbers, C, B)) <=> v2_xxreal_0(k3_funct_2(u1_struct_0(A), k6_numbers, k5_fvaluat1(A, C), B))) ) ) ) ) ) ) ) ).
fof(t41_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_fvaluat1(C, A) =>  (v3_fvaluat1(A) =>  (r1_xxreal_0(k5_numbers, k3_funct_2(u1_struct_0(A), k6_numbers, C, B)) <=> r1_xxreal_0(k5_numbers, k3_funct_2(u1_struct_0(A), k6_numbers, k5_fvaluat1(A, C), B))) ) ) ) ) ) ) ) ).
fof(t42_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_fvaluat1(C, A) =>  (v3_fvaluat1(A) =>  ( ~ ( ( ~ (v3_xxreal_0(k3_funct_2(u1_struct_0(A), k6_numbers, C, B)))  & v3_xxreal_0(k3_funct_2(u1_struct_0(A), k6_numbers, k5_fvaluat1(A, C), B))) )  &  ~ ( ( ~ (v3_xxreal_0(k3_funct_2(u1_struct_0(A), k6_numbers, k5_fvaluat1(A, C), B)))  & v3_xxreal_0(k3_funct_2(u1_struct_0(A), k6_numbers, C, B))) ) ) ) ) ) ) ) ) ) ).
fof(t43_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_fvaluat1(B, A) =>  (v3_fvaluat1(A) => k3_funct_2(u1_struct_0(A), k6_numbers, k5_fvaluat1(A, B), k4_fvaluat1(A, B))=1) ) ) ) ) ).
fof(t44_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_fvaluat1(C, A) =>  ( (v3_fvaluat1(A) & r1_xxreal_0(k5_numbers, k3_funct_2(u1_struct_0(A), k6_numbers, C, B)))  => r1_xxreal_0(k3_funct_2(u1_struct_0(A), k6_numbers, k5_fvaluat1(A, C), B), k3_funct_2(u1_struct_0(A), k6_numbers, C, B))) ) ) ) ) ) ) ).
fof(t45_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_fvaluat1(C, A) =>  ( (v3_fvaluat1(A) & k3_funct_2(u1_struct_0(A), k6_numbers, C, B)=1)  => r2_funct_2(u1_struct_0(A), k6_numbers, k5_fvaluat1(A, C), C)) ) ) ) ) ) ) ).
fof(t46_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_fvaluat1(B, A) =>  (v3_fvaluat1(A) => r2_funct_2(u1_struct_0(A), k6_numbers, k5_fvaluat1(A, k5_fvaluat1(A, B)), k5_fvaluat1(A, B))) ) ) ) ) ).
fof(t47_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_fvaluat1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, k6_fvaluat1(A, B)) <=> r1_xxreal_0(k5_numbers, k3_funct_2(u1_struct_0(A), k6_numbers, B, C))) ) ) ) ) ) ) ).
fof(t48_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_fvaluat1(B, A) => r1_tarski(k6_fvaluat1(A, B), u1_struct_0(A))) ) ) ) ).
fof(t49_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_fvaluat1(B, A) =>  (v3_fvaluat1(A) => r2_tarski(k4_struct_0(A), k6_fvaluat1(A, B))) ) ) ) ) ).
fof(t50_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_fvaluat1(B, A) =>  (v3_fvaluat1(A) => r2_tarski(k5_struct_0(A), k6_fvaluat1(A, B))) ) ) ) ) ).
fof(d12_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_fvaluat1(B, A) =>  (v3_fvaluat1(A) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v36_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (C=k7_fvaluat1(A, B) <=>  (u1_struct_0(C)=k6_fvaluat1(A, B) &  (u1_algstr_0(C)=k2_partfun1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A), u1_algstr_0(A), k2_zfmisc_1(k6_fvaluat1(A, B), k6_fvaluat1(A, B))) &  (u2_algstr_0(C)=k2_partfun1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A), u2_algstr_0(A), k2_zfmisc_1(k6_fvaluat1(A, B), k6_fvaluat1(A, B))) &  (u2_struct_0(C)=k4_struct_0(A) & u3_struct_0(C)=k5_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_fvaluat1(B, A) =>  (v3_fvaluat1(A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_fvaluat1(A, B))) => m1_subset_1(C, u1_struct_0(A))) ) ) ) ) ) ) ).
fof(t52_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_fvaluat1(C, A) =>  (v3_fvaluat1(A) =>  (r1_xxreal_0(k5_numbers, k3_funct_2(u1_struct_0(A), k6_numbers, C, B)) <=> m1_subset_1(B, u1_struct_0(k7_fvaluat1(A, C)))) ) ) ) ) ) ) ) ).
fof(t53_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_fvaluat1(B, A) =>  (v3_fvaluat1(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k7_fvaluat1(A, B)))) => m2_xxreal_2(k5_numbers, k7_relset_1(u1_struct_0(A), k6_numbers, B, C))) ) ) ) ) ) ) ).
fof(t54_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_fvaluat1(B, A) =>  (v3_fvaluat1(A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k7_fvaluat1(A, B))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k7_fvaluat1(A, B))) =>  ( (C=E & D=F)  => k3_rlvect_1(A, C, D)=k3_rlvect_1(k7_fvaluat1(A, B), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_fvaluat1(B, A) =>  (v3_fvaluat1(A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k7_fvaluat1(A, B))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k7_fvaluat1(A, B))) =>  ( (C=E & D=F)  => k8_group_1(A, C, D)=k8_group_1(k7_fvaluat1(A, B), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_fvaluat1(B, A) =>  (v3_fvaluat1(A) => k4_struct_0(k7_fvaluat1(A, B))=k4_struct_0(A)) ) ) ) ) ).
fof(t57_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_fvaluat1(B, A) =>  (v3_fvaluat1(A) => k5_struct_0(k7_fvaluat1(A, B))=k5_struct_0(A)) ) ) ) ) ).
fof(t58_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_fvaluat1(B, A) =>  (v3_fvaluat1(A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_fvaluat1(A, B))) =>  (C=D => k4_algstr_0(A, C)=k4_algstr_0(k7_fvaluat1(A, B), D)) ) ) ) ) ) ) ) ) ) ).
fof(t59_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_fvaluat1(B, A) =>  (v3_fvaluat1(A) => v1_vectsp_2(k7_fvaluat1(A, B))) ) ) ) ) ).
fof(t60_fvaluat1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v1_realset2(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_fvaluat1(C, B) =>  (v3_fvaluat1(B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_fvaluat1(B, C))) => k1_binop_1(k4_group_1(B), D, A)=k1_binop_1(k4_group_1(k7_fvaluat1(B, C)), D, A)) ) ) ) ) ) ) ) ) ).
fof(t61_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_fvaluat1(C, A) =>  (v3_fvaluat1(A) =>  (r2_tarski(B, k8_fvaluat1(A, C)) <=>  ~ (r1_xxreal_0(k3_funct_2(u1_struct_0(A), k6_numbers, C, B), k5_numbers)) ) ) ) ) ) ) ) ) ).
fof(t62_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_fvaluat1(B, A) =>  (v3_fvaluat1(A) => r2_tarski(k4_struct_0(A), k8_fvaluat1(A, B))) ) ) ) ) ).
fof(t63_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_fvaluat1(B, A) =>  ~ ( (v3_fvaluat1(A) & r2_tarski(k5_struct_0(A), k8_fvaluat1(A, B))) ) ) ) ) ) ).
fof(d14_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_fvaluat1(B, A) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  ( (v3_fvaluat1(A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k7_fvaluat1(A, B)))))  => k9_fvaluat1(A, B, C)=k13_ideal_1(A, k8_relset_1(u1_struct_0(A), k6_numbers, B, k6_domain_1(k6_numbers, k7_supinf_2(k7_relset_1(u1_struct_0(A), k6_numbers, B, C)))), C)) ) ) ) ) ) ) ).
fof(t64_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_fvaluat1(B, A) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  ( (v3_fvaluat1(A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k7_fvaluat1(A, B)))))  => r1_tarski(k9_fvaluat1(A, B, C), C)) ) ) ) ) ) ) ).
fof(t65_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_fvaluat1(B, A) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  ( (v3_fvaluat1(A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k7_fvaluat1(A, B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, k9_fvaluat1(A, B, C)) <=>  (r2_tarski(D, C) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(E, C) => r1_xxreal_0(k3_funct_2(u1_struct_0(A), k6_numbers, B, D), k3_funct_2(u1_struct_0(A), k6_numbers, B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_fvaluat1(B, A) =>  (v3_fvaluat1(A) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_fvaluat1(A, B))) =>  ( ( ( ~ (v1_xboole_0(C))  &  (v1_ideal_1(C, k7_fvaluat1(A, B)) &  (v2_ideal_1(C, k7_fvaluat1(A, B)) &  (v3_ideal_1(C, k7_fvaluat1(A, B)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k7_fvaluat1(A, B))))) ) ) )  & r2_tarski(D, k9_fvaluat1(A, B, C)))  => C=k7_ideal_1(k7_fvaluat1(A, B), k6_domain_1(u1_struct_0(k7_fvaluat1(A, B)), D))) ) ) ) ) ) ) ) ) ) ).
fof(t67_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_realset1(B, u1_struct_0(A), u1_algstr_0(A))) ) ) ) ).
fof(d15_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  (m1_rmod_2(C, A, k3_vectsp_2(A)) =>  (m2_fvaluat1(C, A, B) <=> u1_struct_0(C)=B) ) ) ) ) ) ) ).
fof(t68_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  (! [C] :  (m2_fvaluat1(C, A, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(B, B), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (! [E] :  (m2_subset_1(E, u1_struct_0(A), B) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(B, u1_struct_0(A)), B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A)), B)))) )  =>  ( (D=k2_partfun1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A), u1_algstr_0(A), k2_zfmisc_1(B, B)) &  (F=k2_partfun1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A), u2_algstr_0(A), k2_zfmisc_1(B, u1_struct_0(A))) & E=u2_struct_0(A)) )  => g1_vectsp_2(A, u1_struct_0(C), u1_algstr_0(C), u2_struct_0(C), u1_vectsp_2(A, C))=g1_vectsp_2(A, B, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_2(C, A) & l1_vectsp_2(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (v4_fvaluat1(D, A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, k4_vectsp_2(A, B, F, E))=k4_vectsp_2(A, C, F, k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t69_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_fvaluat1(D, A) =>  ( (v3_fvaluat1(A) & m1_subset_1(C, u1_struct_0(k7_fvaluat1(A, D))))  => r1_xxreal_0(k3_funct_2(u1_struct_0(A), k6_numbers, D, B), k3_supinf_2(k3_funct_2(u1_struct_0(A), k6_numbers, D, B), k3_funct_2(u1_struct_0(A), k6_numbers, D, C)))) ) ) ) ) ) ) ) ) ).
fof(t70_fvaluat1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v1_realset2(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_fvaluat1(D, B) =>  ( (v3_fvaluat1(B) & m1_subset_1(C, u1_struct_0(k7_fvaluat1(B, D))))  => m1_subset_1(k1_binop_1(k4_group_1(B), C, A), u1_struct_0(k7_fvaluat1(B, D)))) ) ) ) ) ) ) ) ) ).
fof(t71_fvaluat1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v1_realset2(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_fvaluat1(C, B) =>  (v3_fvaluat1(B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_fvaluat1(B, C))) =>  ~ ( ( ~ (D=k4_struct_0(B))  & k1_binop_1(k4_group_1(B), D, A)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t72_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_fvaluat1(C, A) =>  ( (v3_fvaluat1(A) & k3_funct_2(u1_struct_0(A), k6_numbers, C, B)=k5_numbers)  =>  (m1_subset_1(B, u1_struct_0(k7_fvaluat1(A, C))) & m1_subset_1(k9_algstr_0(A, B), u1_struct_0(k7_fvaluat1(A, C)))) ) ) ) ) ) ) ) ).
fof(t73_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_fvaluat1(C, A) =>  ( (v3_fvaluat1(A) &  (m1_subset_1(B, u1_struct_0(k7_fvaluat1(A, C))) & m1_subset_1(k9_algstr_0(A, B), u1_struct_0(k7_fvaluat1(A, C)))) )  =>  (B=k4_struct_0(A) | k3_funct_2(u1_struct_0(A), k6_numbers, C, B)=k5_numbers) ) ) ) ) ) ) ) ).
fof(t74_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_fvaluat1(C, A) =>  ( (v3_fvaluat1(A) & k3_funct_2(u1_struct_0(A), k6_numbers, C, B)=k5_numbers)  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_ideal_1(D, k7_fvaluat1(A, C)) &  (v2_ideal_1(D, k7_fvaluat1(A, C)) &  (v3_ideal_1(D, k7_fvaluat1(A, C)) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k7_fvaluat1(A, C))))) ) ) )  =>  (r2_tarski(B, D) <=> D=u1_struct_0(k7_fvaluat1(A, C))) ) ) ) ) ) ) ) ) ) ).
fof(t75_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_fvaluat1(B, A) =>  (v3_fvaluat1(A) => m1_subset_1(k4_fvaluat1(A, B), u1_struct_0(k7_fvaluat1(A, B)))) ) ) ) ) ).
fof(t76_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_fvaluat1(B, A) =>  (v3_fvaluat1(A) => v1_subset_1(k8_fvaluat1(A, B), u1_struct_0(k7_fvaluat1(A, B)))) ) ) ) ) ).
fof(t77_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_fvaluat1(B, A) =>  (v3_fvaluat1(A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_fvaluat1(A, B))) =>  ( ~ (r2_tarski(C, k8_fvaluat1(A, B)))  => k1_funct_1(B, C)=k5_numbers) ) ) ) ) ) ) ) ).
fof(t78_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_fvaluat1(B, A) =>  (v3_fvaluat1(A) => v2_ring_1(k8_fvaluat1(A, B), k7_fvaluat1(A, B))) ) ) ) ) ).
fof(t79_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_fvaluat1(B, A) =>  (v3_fvaluat1(A) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_subset_1(C, u1_struct_0(k7_fvaluat1(A, B))) &  (v1_ideal_1(C, k7_fvaluat1(A, B)) &  (v2_ideal_1(C, k7_fvaluat1(A, B)) &  (v3_ideal_1(C, k7_fvaluat1(A, B)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k7_fvaluat1(A, B))))) ) ) ) )  => r1_tarski(C, k8_fvaluat1(A, B))) ) ) ) ) ) ) ).
fof(t80_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_fvaluat1(B, A) =>  (v3_fvaluat1(A) => v4_ring_1(k8_fvaluat1(A, B), k7_fvaluat1(A, B))) ) ) ) ) ).
fof(t81_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_fvaluat1(B, A) =>  (v3_fvaluat1(A) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_ideal_1(C, k7_fvaluat1(A, B)) &  (v2_ideal_1(C, k7_fvaluat1(A, B)) &  (v3_ideal_1(C, k7_fvaluat1(A, B)) &  (v4_ring_1(C, k7_fvaluat1(A, B)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k7_fvaluat1(A, B))))) ) ) ) )  => C=k8_fvaluat1(A, B)) ) ) ) ) ) ) ).
fof(t82_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_fvaluat1(B, A) =>  (v3_fvaluat1(A) => k6_fvaluat1(A, k5_fvaluat1(A, B))=k6_fvaluat1(A, B)) ) ) ) ) ).
fof(t83_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_fvaluat1(B, A) =>  (v3_fvaluat1(A) => k7_fvaluat1(A, k5_fvaluat1(A, B))=k7_fvaluat1(A, B)) ) ) ) ) ).
fof(dt_k1_fvaluat1, axiom,  (! [A] :  (v2_membered(A) =>  (v2_xxreal_0(k1_fvaluat1(A)) & v1_fvaluat1(k1_fvaluat1(A))) ) ) ).
fof(dt_k2_fvaluat1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v7_ordinal1(C)) )  => m1_subset_1(k2_fvaluat1(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k3_fvaluat1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  (m1_subset_1(B, u1_struct_0(A)) & v1_int_1(C)) )  => m1_subset_1(k3_fvaluat1(A, B, C), u1_struct_0(A))) ) ).
fof(dt_m1_fvaluat1, axiom,  (! [A] :  (l6_algstr_0(A) =>  (! [B] :  (m1_fvaluat1(B, A) =>  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k6_numbers) &  (v2_fvaluat1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k6_numbers)))) ) ) ) ) ) ) ).
fof(existence_m1_fvaluat1, axiom,  (! [A] :  (l6_algstr_0(A) =>  (? [B] : m1_fvaluat1(B, A)) ) ) ).
fof(dt_k4_fvaluat1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  & m1_fvaluat1(B, A))  => m1_subset_1(k4_fvaluat1(A, B), u1_struct_0(A))) ) ).
fof(dt_k5_fvaluat1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  & m1_fvaluat1(B, A))  => m1_fvaluat1(k5_fvaluat1(A, B), A)) ) ).
fof(dt_k7_fvaluat1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  & m1_fvaluat1(B, A))  =>  ( ~ (v2_struct_0(k7_fvaluat1(A, B)))  &  ( ~ (v6_struct_0(k7_fvaluat1(A, B)))  &  (v13_algstr_0(k7_fvaluat1(A, B)) &  (v36_algstr_0(k7_fvaluat1(A, B)) &  (v4_vectsp_1(k7_fvaluat1(A, B)) &  (v5_vectsp_1(k7_fvaluat1(A, B)) &  (v2_rlvect_1(k7_fvaluat1(A, B)) &  (v3_rlvect_1(k7_fvaluat1(A, B)) &  (v4_rlvect_1(k7_fvaluat1(A, B)) &  (v3_group_1(k7_fvaluat1(A, B)) &  (v5_group_1(k7_fvaluat1(A, B)) & l6_algstr_0(k7_fvaluat1(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k8_fvaluat1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  & m1_fvaluat1(B, A))  =>  ( ~ (v1_xboole_0(k8_fvaluat1(A, B)))  &  (v1_ideal_1(k8_fvaluat1(A, B), k7_fvaluat1(A, B)) &  (v2_ideal_1(k8_fvaluat1(A, B), k7_fvaluat1(A, B)) &  (v3_ideal_1(k8_fvaluat1(A, B), k7_fvaluat1(A, B)) & m1_subset_1(k8_fvaluat1(A, B), k1_zfmisc_1(u1_struct_0(k7_fvaluat1(A, B))))) ) ) ) ) ) ).
fof(dt_k9_fvaluat1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  &  (m1_fvaluat1(B, A) &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  => m1_subset_1(k9_fvaluat1(A, B, C), k1_zfmisc_1(u1_struct_0(k7_fvaluat1(A, B))))) ) ).
fof(dt_m2_fvaluat1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  (! [C] :  (m2_fvaluat1(C, A, B) => m1_rmod_2(C, A, k3_vectsp_2(A))) ) ) ) ).
fof(existence_m2_fvaluat1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  (? [C] : m2_fvaluat1(C, A, B)) ) ) ).
fof(d9_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_fvaluat1(B, A) =>  (v3_fvaluat1(A) => k4_fvaluat1(A, B)=o_2_0_fvaluat1(A, B)) ) ) ) ) ).
fof(d11_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_fvaluat1(B, A) => k6_fvaluat1(A, B)=a_2_1_fvaluat1(A, B)) ) ) ) ).
fof(d13_fvaluat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_fvaluat1(B, A) =>  (v3_fvaluat1(A) => k8_fvaluat1(A, B)=a_2_2_fvaluat1(A, B)) ) ) ) ) ).
fof(dt_o_2_0_fvaluat1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  & m1_fvaluat1(B, A))  => m1_subset_1(o_2_0_fvaluat1(A, B), k8_relset_1(u1_struct_0(A), k6_numbers, B, k1_tarski(k1_fvaluat1(k2_relset_1(k6_numbers, B)))))) ) ).
fof(fraenkel_a_2_1_fvaluat1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l6_algstr_0(B))  & m1_fvaluat1(C, B))  =>  (r2_hidden(A, a_2_1_fvaluat1(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & r1_xxreal_0(k5_numbers, k3_funct_2(u1_struct_0(B), k6_numbers, C, D))) ) ) ) ) ) ).
fof(fraenkel_a_2_2_fvaluat1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v1_realset2(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  & m1_fvaluat1(C, B))  =>  (r2_hidden(A, a_2_2_fvaluat1(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D &  ~ (r1_xxreal_0(k3_funct_2(u1_struct_0(B), k6_numbers, C, D), k5_numbers)) ) ) ) ) ) ) ).
fof(fc1_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) & l2_algstr_0(A)) )  =>  (v1_funct_1(u1_algstr_0(A)) &  (v1_funct_2(u1_algstr_0(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & v1_binop_1(u1_algstr_0(A), u1_struct_0(A))) ) ) ) ).
fof(fc2_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) & l2_algstr_0(A)) )  =>  (v1_funct_1(u1_algstr_0(A)) &  (v1_funct_2(u1_algstr_0(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & v2_binop_1(u1_algstr_0(A), u1_struct_0(A))) ) ) ) ).
fof(fc3_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_group_1(A) & l3_algstr_0(A)) )  =>  (v1_funct_1(u2_algstr_0(A)) &  (v1_funct_2(u2_algstr_0(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & v1_binop_1(u2_algstr_0(A), u1_struct_0(A))) ) ) ) ).
fof(cc1_fvsum_1, axiom,  (! [A] :  (l2_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) & v4_rlvect_1(A)) )  =>  ( ~ (v2_struct_0(A))  & v1_algstr_1(A)) ) ) ) ).
fof(t1_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) & l2_algstr_0(A)) )  => v1_binop_1(u1_algstr_0(A), u1_struct_0(A))) ) ).
fof(t2_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) & l2_algstr_0(A)) )  => v2_binop_1(u1_algstr_0(A), u1_struct_0(A))) ) ).
fof(t3_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_group_1(A) & l3_algstr_0(A)) )  => v1_binop_1(u2_algstr_0(A), u1_struct_0(A))) ) ).
fof(t4_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_group_1(A) &  (v6_vectsp_1(A) & l4_algstr_0(A)) ) )  => r3_binop_1(u1_struct_0(A), k5_struct_0(A), u2_algstr_0(A))) ) ).
fof(t5_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_group_1(A) &  (v6_vectsp_1(A) & l4_algstr_0(A)) ) )  => k3_binop_1(u1_struct_0(A), u2_algstr_0(A))=k5_struct_0(A)) ) ).
fof(t6_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_algstr_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) )  => r3_binop_1(u1_struct_0(A), k4_struct_0(A), u1_algstr_0(A))) ) ).
fof(t7_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_algstr_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) )  => k3_binop_1(u1_struct_0(A), u1_algstr_0(A))=k4_struct_0(A)) ) ).
fof(t8_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_algstr_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) )  => v1_setwiseo(u1_algstr_0(A), u1_struct_0(A))) ) ).
fof(t9_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_group_1(A) &  (v6_vectsp_1(A) & l4_algstr_0(A)) ) )  => v1_setwiseo(u2_algstr_0(A), u1_struct_0(A))) ) ).
fof(t10_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_vectsp_1(A) & l6_algstr_0(A)) )  => r6_binop_1(u1_struct_0(A), u2_algstr_0(A), u1_algstr_0(A))) ) ).
fof(d1_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_fvsum_1(A, B)=k10_funcop_1(u1_struct_0(A), u1_struct_0(A), u2_algstr_0(A), B, k6_partfun1(u1_struct_0(A)))) ) ) ) ).
fof(d2_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  => k2_fvsum_1(A)=k7_finseqop(u1_struct_0(A), u1_algstr_0(A), k6_partfun1(u1_struct_0(A)), k4_vectsp_1(A))) ) ).
fof(t11_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_binop_1(u1_struct_0(A), k2_fvsum_1(A), B, C)=k5_algstr_0(A, B, C)) ) ) ) ) ) ).
fof(t12_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_vectsp_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r7_binop_1(u1_struct_0(A), k1_fvsum_1(A, B), u1_algstr_0(A))) ) ) ) ).
fof(t13_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v1_algstr_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  => r1_finseqop(u1_struct_0(A), k4_vectsp_1(A), u1_algstr_0(A))) ) ).
fof(t14_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v1_algstr_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  => v1_finseqop(u1_algstr_0(A), u1_struct_0(A))) ) ).
fof(t15_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v1_algstr_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  => r2_funct_2(u1_struct_0(A), u1_struct_0(A), k5_finseqop(u1_struct_0(A), u1_algstr_0(A)), k4_vectsp_1(A))) ) ).
fof(t16_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  => r7_binop_1(u1_struct_0(A), k4_vectsp_1(A), u1_algstr_0(A))) ) ).
fof(d3_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) => k3_fvsum_1(A, B, C)=k1_finseqop(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u1_algstr_0(A), B, C)) ) ) ) ) ) ).
fof(t17_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r2_tarski(F, k4_finseq_1(k3_fvsum_1(A, B, C))) &  (D=k1_funct_1(B, F) & E=k1_funct_1(C, F)) )  => k1_funct_1(k3_fvsum_1(A, B, C), F)=k1_algstr_0(A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_algstr_0(C))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (m2_finseq_2(F, u1_struct_0(C), k4_finseq_2(A, u1_struct_0(C))) =>  (! [G] :  (m2_finseq_2(G, u1_struct_0(C), k4_finseq_2(A, u1_struct_0(C))) =>  ( (r2_tarski(B, k2_finseq_1(A)) &  (D=k1_funct_1(F, B) & E=k1_funct_1(G, B)) )  => k1_funct_1(k4_fvsum_1(A, C, F, G), B)=k1_algstr_0(C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_fvsum_1(A, k12_finseq_1(u1_struct_0(A), B), k12_finseq_1(u1_struct_0(A), C))=k12_finseq_1(u1_struct_0(A), k1_algstr_0(A, B, C))) ) ) ) ) ) ).
fof(t20_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_algstr_0(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k4_fvsum_1(A, B, k5_finseq_2(u1_struct_0(B), A, C), k5_finseq_2(u1_struct_0(B), A, D))=k5_finseq_2(u1_struct_0(B), A, k1_algstr_0(B, C, D))) ) ) ) ) ) ) ) ).
fof(t21_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_algstr_1(B) &  (v2_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) =>  (k4_fvsum_1(A, B, C, k5_finseq_2(u1_struct_0(B), A, k4_struct_0(B)))=C & C=k4_fvsum_1(A, B, k5_finseq_2(u1_struct_0(B), A, k4_struct_0(B)), C)) ) ) ) ) ) ) ).
fof(d4_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) => k5_fvsum_1(A, B)=k4_finseqop(u1_struct_0(A), u1_struct_0(A), B, k4_vectsp_1(A))) ) ) ) ).
fof(t22_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_algstr_0(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(B)) =>  ( (r2_tarski(A, k4_finseq_1(k5_fvsum_1(B, D))) & C=k1_funct_1(D, A))  => k1_funct_1(k5_fvsum_1(B, D), A)=k4_algstr_0(B, C)) ) ) ) ) ) ) ) ) ).
fof(t23_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_algstr_0(C))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m2_finseq_2(E, u1_struct_0(C), k4_finseq_2(A, u1_struct_0(C))) =>  ( (r2_tarski(B, k2_finseq_1(A)) & D=k1_funct_1(E, B))  => k1_funct_1(k6_fvsum_1(A, C, E), B)=k4_algstr_0(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_fvsum_1(A, k12_finseq_1(u1_struct_0(A), B))=k12_finseq_1(u1_struct_0(A), k4_algstr_0(A, B))) ) ) ) ).
fof(t25_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_algstr_0(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k6_fvsum_1(A, B, k5_finseq_2(u1_struct_0(B), A, C))=k5_finseq_2(u1_struct_0(B), A, k4_algstr_0(B, C))) ) ) ) ) ) ).
fof(t26_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) =>  (k4_fvsum_1(A, B, C, k6_fvsum_1(A, B, C))=k5_finseq_2(u1_struct_0(B), A, k4_struct_0(B)) & k4_fvsum_1(A, B, k6_fvsum_1(A, B, C), C)=k5_finseq_2(u1_struct_0(B), A, k4_struct_0(B))) ) ) ) ) ) ) ).
fof(t27_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v1_algstr_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) =>  (k4_fvsum_1(A, B, C, D)=k5_finseq_2(u1_struct_0(B), A, k4_struct_0(B)) =>  (C=k6_fvsum_1(A, B, D) & D=k6_fvsum_1(A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t28_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v1_algstr_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) => k6_fvsum_1(A, B, k6_fvsum_1(A, B, C))=C) ) ) ) ) ) ).
fof(t29_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v1_algstr_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) =>  (k6_fvsum_1(A, B, C)=k6_fvsum_1(A, B, D) => C=D) ) ) ) ) ) ) ) ) ).
fof(t30_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) =>  (! [E] :  (m2_finseq_2(E, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) =>  ( (k4_fvsum_1(A, B, D, C)=k4_fvsum_1(A, B, E, C) | k4_fvsum_1(A, B, D, C)=k4_fvsum_1(A, B, C, E))  => D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) => k6_fvsum_1(A, B, k4_fvsum_1(A, B, C, D))=k4_fvsum_1(A, B, k6_fvsum_1(A, B, C), k6_fvsum_1(A, B, D))) ) ) ) ) ) ) ) ).
fof(d5_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) => k7_fvsum_1(A, B, C)=k1_finseqop(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), k2_fvsum_1(A), B, C)) ) ) ) ) ) ).
fof(t32_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_algstr_0(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(B)) =>  (! [F] :  (m2_finseq_1(F, u1_struct_0(B)) =>  ( (r2_tarski(A, k4_finseq_1(k7_fvsum_1(B, E, F))) &  (C=k1_funct_1(E, A) & D=k1_funct_1(F, A)) )  => k1_funct_1(k7_fvsum_1(B, E, F), A)=k5_algstr_0(B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_algstr_0(C))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (m2_finseq_2(F, u1_struct_0(C), k4_finseq_2(A, u1_struct_0(C))) =>  (! [G] :  (m2_finseq_2(G, u1_struct_0(C), k4_finseq_2(A, u1_struct_0(C))) =>  ( (r2_tarski(B, k2_finseq_1(A)) &  (D=k1_funct_1(F, B) & E=k1_funct_1(G, B)) )  => k1_funct_1(k8_fvsum_1(A, C, F, G), B)=k5_algstr_0(C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k7_fvsum_1(A, k12_finseq_1(u1_struct_0(A), B), k12_finseq_1(u1_struct_0(A), C))=k12_finseq_1(u1_struct_0(A), k5_algstr_0(A, B, C))) ) ) ) ) ) ).
fof(t35_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_algstr_0(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k8_fvsum_1(A, B, k5_finseq_2(u1_struct_0(B), A, C), k5_finseq_2(u1_struct_0(B), A, D))=k5_finseq_2(u1_struct_0(B), A, k5_algstr_0(B, C, D))) ) ) ) ) ) ) ) ).
fof(t36_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v1_algstr_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) => k8_fvsum_1(A, B, C, k5_finseq_2(u1_struct_0(B), A, k4_struct_0(B)))=C) ) ) ) ) ) ).
fof(t37_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_algstr_1(B) &  (v2_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) => k8_fvsum_1(A, B, k5_finseq_2(u1_struct_0(B), A, k4_struct_0(B)), C)=k6_fvsum_1(A, B, C)) ) ) ) ) ) ).
fof(t38_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v1_algstr_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) => k8_fvsum_1(A, B, C, k6_fvsum_1(A, B, D))=k4_fvsum_1(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t39_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) => k6_fvsum_1(A, B, k8_fvsum_1(A, B, C, D))=k8_fvsum_1(A, B, D, C)) ) ) ) ) ) ) ) ).
fof(t40_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) => k6_fvsum_1(A, B, k8_fvsum_1(A, B, C, D))=k4_fvsum_1(A, B, k6_fvsum_1(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t41_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) => k8_fvsum_1(A, B, C, C)=k5_finseq_2(u1_struct_0(B), A, k4_struct_0(B))) ) ) ) ) ) ).
fof(t42_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) =>  (k8_fvsum_1(A, B, C, D)=k5_finseq_2(u1_struct_0(B), A, k4_struct_0(B)) => C=D) ) ) ) ) ) ) ) ) ).
fof(t43_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) =>  (! [E] :  (m2_finseq_2(E, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) => k8_fvsum_1(A, B, k8_fvsum_1(A, B, C, D), E)=k8_fvsum_1(A, B, C, k4_fvsum_1(A, B, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t44_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) =>  (! [E] :  (m2_finseq_2(E, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) => k4_fvsum_1(A, B, C, k8_fvsum_1(A, B, D, E))=k8_fvsum_1(A, B, k4_fvsum_1(A, B, C, D), E)) ) ) ) ) ) ) ) ) ) ).
fof(t45_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) =>  (! [E] :  (m2_finseq_2(E, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) => k8_fvsum_1(A, B, C, k8_fvsum_1(A, B, D, E))=k4_fvsum_1(A, B, k8_fvsum_1(A, B, C, D), E)) ) ) ) ) ) ) ) ) ) ).
fof(t46_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) => D=k8_fvsum_1(A, B, k4_fvsum_1(A, B, D, C), C)) ) ) ) ) ) ) ) ).
fof(t47_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) => D=k4_fvsum_1(A, B, k8_fvsum_1(A, B, D, C), C)) ) ) ) ) ) ) ) ).
fof(t48_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(A), k10_funcop_1(u1_struct_0(A), u1_struct_0(A), u2_algstr_0(A), B, k6_partfun1(u1_struct_0(A))), C)=k6_algstr_0(A, B, C)) ) ) ) ) ) ).
fof(t49_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(A), k1_fvsum_1(A, B), C)=k6_algstr_0(A, B, C)) ) ) ) ) ) ).
fof(d6_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k9_fvsum_1(A, B, C)=k4_finseqop(u1_struct_0(A), u1_struct_0(A), B, k1_fvsum_1(A, C))) ) ) ) ) ) ).
fof(t50_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(B)) =>  ( (r2_tarski(A, k4_finseq_1(k9_fvsum_1(B, E, C))) & D=k1_funct_1(E, A))  => k1_funct_1(k9_fvsum_1(B, E, C), A)=k6_algstr_0(B, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l3_algstr_0(C))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (m2_finseq_2(F, u1_struct_0(C), k4_finseq_2(A, u1_struct_0(C))) =>  ( (r2_tarski(B, k2_finseq_1(A)) & E=k1_funct_1(F, B))  => k1_funct_1(k10_fvsum_1(A, C, F, D), B)=k6_algstr_0(C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k9_fvsum_1(A, k12_finseq_1(u1_struct_0(A), C), B)=k12_finseq_1(u1_struct_0(A), k6_algstr_0(A, B, C))) ) ) ) ) ) ).
fof(t53_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k10_fvsum_1(A, B, k5_finseq_2(u1_struct_0(B), A, D), C)=k5_finseq_2(u1_struct_0(B), A, k6_algstr_0(B, C, D))) ) ) ) ) ) ) ) ).
fof(t54_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_group_1(B) & l3_algstr_0(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m2_finseq_2(E, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) => k10_fvsum_1(A, B, E, k6_algstr_0(B, C, D))=k10_fvsum_1(A, B, k10_fvsum_1(A, B, E, D), C)) ) ) ) ) ) ) ) ) ) ).
fof(t55_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v5_vectsp_1(B) & l6_algstr_0(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m2_finseq_2(E, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) => k10_fvsum_1(A, B, E, k1_algstr_0(B, C, D))=k4_fvsum_1(A, B, k10_fvsum_1(A, B, E, C), k10_fvsum_1(A, B, E, D))) ) ) ) ) ) ) ) ) ) ).
fof(t56_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v5_vectsp_1(B) & l6_algstr_0(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) =>  (! [E] :  (m2_finseq_2(E, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) => k10_fvsum_1(A, B, k4_fvsum_1(A, B, D, E), C)=k4_fvsum_1(A, B, k10_fvsum_1(A, B, D, C), k10_fvsum_1(A, B, E, C))) ) ) ) ) ) ) ) ) ) ).
fof(t57_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v5_group_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) & l6_algstr_0(B)) ) ) )  =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) => k10_fvsum_1(A, B, C, k5_struct_0(B))=C) ) ) ) ) ) ).
fof(t58_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v5_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) )  =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) => k10_fvsum_1(A, B, C, k4_struct_0(B))=k5_finseq_2(u1_struct_0(B), A, k4_struct_0(B))) ) ) ) ) ) ).
fof(t59_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v5_group_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) => k10_fvsum_1(A, B, C, k4_algstr_0(B, k5_struct_0(B)))=k6_fvsum_1(A, B, C)) ) ) ) ) ) ).
fof(d7_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) => k11_fvsum_1(A, B, C)=k1_finseqop(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u2_algstr_0(A), B, C)) ) ) ) ) ) ).
fof(t60_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(B)) =>  (! [F] :  (m2_finseq_1(F, u1_struct_0(B)) =>  ( (r2_tarski(A, k4_finseq_1(k11_fvsum_1(B, E, F))) &  (C=k1_funct_1(E, A) & D=k1_funct_1(F, A)) )  => k1_funct_1(k11_fvsum_1(B, E, F), A)=k6_algstr_0(B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l3_algstr_0(C))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (m2_finseq_2(F, u1_struct_0(C), k4_finseq_2(A, u1_struct_0(C))) =>  (! [G] :  (m2_finseq_2(G, u1_struct_0(C), k4_finseq_2(A, u1_struct_0(C))) =>  ( (r2_tarski(B, k2_finseq_1(A)) &  (D=k1_funct_1(F, B) & E=k1_funct_1(G, B)) )  => k1_funct_1(k12_fvsum_1(A, C, F, G), B)=k6_algstr_0(C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k11_fvsum_1(A, k12_finseq_1(u1_struct_0(A), B), k12_finseq_1(u1_struct_0(A), C))=k12_finseq_1(u1_struct_0(A), k6_algstr_0(A, B, C))) ) ) ) ) ) ).
fof(t63_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v5_group_1(B) & l3_algstr_0(B)) )  =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) => k12_fvsum_1(A, B, C, D)=k12_fvsum_1(A, B, D, C)) ) ) ) ) ) ) ) ).
fof(t64_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) => k11_fvsum_1(A, B, C)=k11_fvsum_1(A, C, B)) ) ) ) ) ) ).
fof(t65_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_group_1(B) & l3_algstr_0(B)) )  =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) =>  (! [E] :  (m2_finseq_2(E, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) => k12_fvsum_1(A, B, C, k12_fvsum_1(A, B, D, E))=k12_fvsum_1(A, B, k12_fvsum_1(A, B, C, D), E)) ) ) ) ) ) ) ) ) ) ).
fof(t66_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_group_1(B) &  (v5_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) =>  (k12_fvsum_1(A, B, k5_finseq_2(u1_struct_0(B), A, C), D)=k10_fvsum_1(A, B, D, C) & k12_fvsum_1(A, B, D, k5_finseq_2(u1_struct_0(B), A, C))=k10_fvsum_1(A, B, D, C)) ) ) ) ) ) ) ) ) ).
fof(t67_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_group_1(B) &  (v5_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k12_fvsum_1(A, B, k5_finseq_2(u1_struct_0(B), A, C), k5_finseq_2(u1_struct_0(B), A, D))=k5_finseq_2(u1_struct_0(B), A, k8_group_1(B, C, D))) ) ) ) ) ) ) ) ).
fof(t68_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_group_1(B) & l3_algstr_0(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) =>  (! [E] :  (m2_finseq_2(E, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) => k10_fvsum_1(A, B, k12_fvsum_1(A, B, D, E), C)=k12_fvsum_1(A, B, k10_fvsum_1(A, B, D, C), E)) ) ) ) ) ) ) ) ) ) ).
fof(t69_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_group_1(B) &  (v5_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) =>  (! [E] :  (m2_finseq_2(E, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) =>  (k10_fvsum_1(A, B, k12_fvsum_1(A, B, D, E), C)=k12_fvsum_1(A, B, k10_fvsum_1(A, B, D, C), E) & k10_fvsum_1(A, B, k12_fvsum_1(A, B, D, E), C)=k12_fvsum_1(A, B, D, k10_fvsum_1(A, B, E, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_group_1(B) &  (v5_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) => k10_fvsum_1(A, B, D, C)=k12_fvsum_1(A, B, k5_finseq_2(u1_struct_0(B), A, C), D)) ) ) ) ) ) ) ) ).
fof(d8_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) => k4_rlvect_1(A, B)=k1_finsop_1(u1_struct_0(A), B, u1_algstr_0(A))) ) ) ) ).
fof(t71_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) => k4_rlvect_1(A, k8_finseq_1(u1_struct_0(A), C, k12_finseq_1(u1_struct_0(A), B)))=k1_algstr_0(A, k4_rlvect_1(A, C), B)) ) ) ) ) ) ).
fof(t72_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) => k4_rlvect_1(A, k8_finseq_1(u1_struct_0(A), k12_finseq_1(u1_struct_0(A), B), C))=k1_algstr_0(A, B, k4_rlvect_1(A, C))) ) ) ) ) ) ).
fof(t73_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) => k4_rlvect_1(A, k9_fvsum_1(A, C, B))=k6_algstr_0(A, B, k4_rlvect_1(A, C))) ) ) ) ) ) ).
fof(t74_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m2_finseq_2(B, u1_struct_0(A), k4_finseq_2(k5_numbers, u1_struct_0(A))) => k4_rlvect_1(A, B)=k4_struct_0(A)) ) ) ) ).
fof(t75_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) => k4_rlvect_1(A, k5_fvsum_1(A, B))=k4_algstr_0(A, k4_rlvect_1(A, B))) ) ) ) ).
fof(t76_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) => k4_rlvect_1(B, k4_fvsum_1(A, B, C, D))=k3_rlvect_1(B, k4_rlvect_1(B, C), k4_rlvect_1(B, D))) ) ) ) ) ) ) ) ).
fof(t77_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) => k4_rlvect_1(B, k8_fvsum_1(A, B, C, D))=k5_algstr_0(B, k4_rlvect_1(B, C), k4_rlvect_1(B, D))) ) ) ) ) ) ) ) ).
fof(t78_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) & l6_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) => k3_group_4(A, k8_finseq_1(u1_struct_0(A), k12_finseq_1(u1_struct_0(A), B), C))=k8_group_1(A, B, k3_group_4(A, C))) ) ) ) ) ) ).
fof(t79_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) & l6_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_group_4(A, k3_finseq_4(u1_struct_0(A), B, C, D))=k8_group_1(A, k8_group_1(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t80_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) & l6_algstr_0(A)) ) ) )  =>  (! [B] :  (m2_finseq_2(B, u1_struct_0(A), k4_finseq_2(k5_numbers, u1_struct_0(A))) => k3_group_4(A, B)=k5_struct_0(A)) ) ) ) ).
fof(t81_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) & l6_algstr_0(B)) ) ) )  => k3_group_4(B, k5_finseq_2(u1_struct_0(B), A, k1_group_1(B)))=k1_group_1(B)) ) ) ) ).
fof(t82_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  ( (? [C] :  (v7_ordinal1(C) &  (r2_tarski(C, k4_finseq_1(B)) & k1_funct_1(B, C)=k4_struct_0(A)) ) )  <=> k3_group_4(A, B)=k4_struct_0(A)) ) ) ) ) ).
fof(t83_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) & l6_algstr_0(C)) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) => k3_group_4(C, k5_finseq_2(u1_struct_0(C), k2_xcmplx_0(A, B), D))=k8_group_1(C, k3_group_4(C, k5_finseq_2(u1_struct_0(C), A, D)), k3_group_4(C, k5_finseq_2(u1_struct_0(C), B, D)))) ) ) ) ) ) ) ) ).
fof(t84_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) & l6_algstr_0(C)) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) => k3_group_4(C, k5_finseq_2(u1_struct_0(C), k3_xcmplx_0(A, B), D))=k3_group_4(C, k5_finseq_2(u1_struct_0(C), B, k3_group_4(C, k5_finseq_2(u1_struct_0(C), A, D))))) ) ) ) ) ) ) ) ).
fof(t85_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) & l6_algstr_0(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k3_group_4(B, k5_finseq_2(u1_struct_0(B), A, k8_group_1(B, C, D)))=k8_group_1(B, k3_group_4(B, k5_finseq_2(u1_struct_0(B), A, C)), k3_group_4(B, k5_finseq_2(u1_struct_0(B), A, D)))) ) ) ) ) ) ) ) ).
fof(t86_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) & l6_algstr_0(B)) ) ) )  =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) => k3_group_4(B, k12_fvsum_1(A, B, C, D))=k8_group_1(B, k3_group_4(B, C), k3_group_4(B, D))) ) ) ) ) ) ) ) ).
fof(t87_fvsum_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) & l6_algstr_0(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) => k3_group_4(B, k10_fvsum_1(A, B, D, C))=k8_group_1(B, k3_group_4(B, k5_finseq_2(u1_struct_0(B), A, C)), k3_group_4(B, D))) ) ) ) ) ) ) ) ).
fof(d9_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) => k13_fvsum_1(A, B, C)=k4_rlvect_1(A, k11_fvsum_1(A, B, C))) ) ) ) ) ) ).
fof(t88_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v6_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k13_fvsum_1(A, k12_finseq_1(u1_struct_0(A), B), k12_finseq_1(u1_struct_0(A), C))=k8_group_1(A, B, C)) ) ) ) ) ) ).
fof(t89_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v6_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k13_fvsum_1(A, k2_finseq_4(u1_struct_0(A), B, C), k2_finseq_4(u1_struct_0(A), D, E))=k3_rlvect_1(A, k8_group_1(A, B, D), k8_group_1(A, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t90_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) & l6_algstr_0(A)) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) => k13_fvsum_1(A, B, C)=k13_fvsum_1(A, C, B)) ) ) ) ) ) ).
fof(dt_k1_fvsum_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k1_fvsum_1(A, B)) &  (v1_funct_2(k1_fvsum_1(A, B), u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(k1_fvsum_1(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ).
fof(dt_k2_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (v1_funct_1(k2_fvsum_1(A)) &  (v1_funct_2(k2_fvsum_1(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(k2_fvsum_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(dt_k3_fvsum_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  (m1_finseq_1(B, u1_struct_0(A)) & m1_finseq_1(C, u1_struct_0(A))) )  => m2_finseq_1(k3_fvsum_1(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k4_fvsum_1, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  & l2_algstr_0(B))  &  (m1_subset_1(C, k4_finseq_2(A, u1_struct_0(B))) & m1_subset_1(D, k4_finseq_2(A, u1_struct_0(B)))) ) )  => m2_finseq_2(k4_fvsum_1(A, B, C, D), u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B)))) ) ).
fof(redefinition_k4_fvsum_1, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  & l2_algstr_0(B))  &  (m1_subset_1(C, k4_finseq_2(A, u1_struct_0(B))) & m1_subset_1(D, k4_finseq_2(A, u1_struct_0(B)))) ) )  => k4_fvsum_1(A, B, C, D)=k3_fvsum_1(B, C, D)) ) ).
fof(dt_k5_fvsum_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  & m1_finseq_1(B, u1_struct_0(A)))  => m2_finseq_1(k5_fvsum_1(A, B), u1_struct_0(A))) ) ).
fof(dt_k6_fvsum_1, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  & l2_algstr_0(B))  & m1_subset_1(C, k4_finseq_2(A, u1_struct_0(B)))) )  => m2_finseq_2(k6_fvsum_1(A, B, C), u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B)))) ) ).
fof(redefinition_k6_fvsum_1, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  & l2_algstr_0(B))  & m1_subset_1(C, k4_finseq_2(A, u1_struct_0(B)))) )  => k6_fvsum_1(A, B, C)=k5_fvsum_1(B, C)) ) ).
fof(dt_k7_fvsum_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  (m1_finseq_1(B, u1_struct_0(A)) & m1_finseq_1(C, u1_struct_0(A))) )  => m2_finseq_1(k7_fvsum_1(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k8_fvsum_1, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  & l2_algstr_0(B))  &  (m1_subset_1(C, k4_finseq_2(A, u1_struct_0(B))) & m1_subset_1(D, k4_finseq_2(A, u1_struct_0(B)))) ) )  => m2_finseq_2(k8_fvsum_1(A, B, C, D), u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B)))) ) ).
fof(redefinition_k8_fvsum_1, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  & l2_algstr_0(B))  &  (m1_subset_1(C, k4_finseq_2(A, u1_struct_0(B))) & m1_subset_1(D, k4_finseq_2(A, u1_struct_0(B)))) ) )  => k8_fvsum_1(A, B, C, D)=k7_fvsum_1(B, C, D)) ) ).
fof(dt_k9_fvsum_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  (m1_finseq_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m2_finseq_1(k9_fvsum_1(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k10_fvsum_1, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  &  (m1_subset_1(C, k4_finseq_2(A, u1_struct_0(B))) & m1_subset_1(D, u1_struct_0(B))) ) )  => m2_finseq_2(k10_fvsum_1(A, B, C, D), u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B)))) ) ).
fof(redefinition_k10_fvsum_1, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  &  (m1_subset_1(C, k4_finseq_2(A, u1_struct_0(B))) & m1_subset_1(D, u1_struct_0(B))) ) )  => k10_fvsum_1(A, B, C, D)=k9_fvsum_1(B, C, D)) ) ).
fof(dt_k11_fvsum_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  (m1_finseq_1(B, u1_struct_0(A)) & m1_finseq_1(C, u1_struct_0(A))) )  => m2_finseq_1(k11_fvsum_1(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k12_fvsum_1, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  &  (m1_subset_1(C, k4_finseq_2(A, u1_struct_0(B))) & m1_subset_1(D, k4_finseq_2(A, u1_struct_0(B)))) ) )  => m2_finseq_2(k12_fvsum_1(A, B, C, D), u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B)))) ) ).
fof(redefinition_k12_fvsum_1, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  &  (m1_subset_1(C, k4_finseq_2(A, u1_struct_0(B))) & m1_subset_1(D, k4_finseq_2(A, u1_struct_0(B)))) ) )  => k12_fvsum_1(A, B, C, D)=k11_fvsum_1(B, C, D)) ) ).
fof(dt_k13_fvsum_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  (m1_finseq_1(B, u1_struct_0(A)) & m1_finseq_1(C, u1_struct_0(A))) )  => m1_subset_1(k13_fvsum_1(A, B, C), u1_struct_0(A))) ) ).
fof(fc1_gate_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  ~ (v1_xboole_0(k1_gate_1(A))) ) ) ).
fof(fc2_gate_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => v1_xboole_0(k1_gate_1(A))) ) ).
fof(fc3_gate_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_xboole_0(k2_gate_1(A, B))) ) ) ).
fof(fc4_gate_1, axiom,  (! [A, B] :  (v1_xboole_0(A) => v1_xboole_0(k2_gate_1(A, B))) ) ).
fof(fc5_gate_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  ~ (v1_xboole_0(k3_gate_1(A, B))) ) ) ).
fof(fc6_gate_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_xboole_0(B))  => v1_xboole_0(k3_gate_1(A, B))) ) ).
fof(fc7_gate_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_xboole_0(k4_gate_1(A, B))) ) ) ).
fof(fc8_gate_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_xboole_0(B))  => v1_xboole_0(k4_gate_1(A, B))) ) ).
fof(fc9_gate_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  => v1_xboole_0(k4_gate_1(A, B))) ) ).
fof(fc10_gate_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) &  ~ (v1_xboole_0(B)) )  => v1_xboole_0(k5_gate_1(A, B))) ) ).
fof(fc11_gate_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_xboole_0(B))  =>  ~ (v1_xboole_0(k5_gate_1(A, B))) ) ) ).
fof(fc12_gate_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_xboole_0(k5_gate_1(A, B))) ) ) ).
fof(fc13_gate_1, axiom,  (! [A, B] :  (v1_xboole_0(A) =>  ~ (v1_xboole_0(k6_gate_1(A, B))) ) ) ).
fof(fc14_gate_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  => v1_xboole_0(k6_gate_1(A, B))) ) ).
fof(fc15_gate_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_xboole_0(B))  =>  ~ (v1_xboole_0(k7_gate_1(A, B))) ) ) ).
fof(fc16_gate_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  => v1_xboole_0(k7_gate_1(A, B))) ) ).
fof(fc17_gate_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ~ (v1_xboole_0(C)) ) )  =>  ~ (v1_xboole_0(k8_gate_1(A, B, C))) ) ) ).
fof(fc18_gate_1, axiom,  (! [A, B, C] :  (v1_xboole_0(A) => v1_xboole_0(k8_gate_1(A, B, C))) ) ).
fof(fc19_gate_1, axiom,  (! [A, B, C] :  (v1_xboole_0(A) => v1_xboole_0(k8_gate_1(B, A, C))) ) ).
fof(fc20_gate_1, axiom,  (! [A, B, C] :  (v1_xboole_0(A) => v1_xboole_0(k8_gate_1(B, C, A))) ) ).
fof(fc21_gate_1, axiom,  (! [A, B, C] :  ( (v1_xboole_0(A) &  (v1_xboole_0(B) & v1_xboole_0(C)) )  => v1_xboole_0(k9_gate_1(A, B, C))) ) ).
fof(fc22_gate_1, axiom,  (! [A, B, C] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k9_gate_1(A, B, C))) ) ) ).
fof(fc23_gate_1, axiom,  (! [A, B, C] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k9_gate_1(B, A, C))) ) ) ).
fof(fc24_gate_1, axiom,  (! [A, B, C] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k9_gate_1(B, C, A))) ) ) ).
fof(fc25_gate_1, axiom,  (! [A, B, C] :  ( (v1_xboole_0(A) &  (v1_xboole_0(B) & v1_xboole_0(C)) )  => v1_xboole_0(k10_gate_1(A, B, C))) ) ).
fof(fc26_gate_1, axiom,  (! [A, B, C] :  ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  ~ (v1_xboole_0(C)) ) )  =>  ~ (v1_xboole_0(k10_gate_1(A, B, C))) ) ) ).
fof(fc27_gate_1, axiom,  (! [A, B, C] :  ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  ~ (v1_xboole_0(C)) ) )  =>  ~ (v1_xboole_0(k10_gate_1(A, C, B))) ) ) ).
fof(fc28_gate_1, axiom,  (! [A, B, C] :  ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  ~ (v1_xboole_0(C)) ) )  =>  ~ (v1_xboole_0(k10_gate_1(C, A, B))) ) ) ).
fof(fc29_gate_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & v1_xboole_0(C)) )  => v1_xboole_0(k10_gate_1(A, B, C))) ) ).
fof(fc30_gate_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & v1_xboole_0(C)) )  => v1_xboole_0(k10_gate_1(A, C, B))) ) ).
fof(fc31_gate_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & v1_xboole_0(C)) )  => v1_xboole_0(k10_gate_1(C, A, B))) ) ).
fof(fc32_gate_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ~ (v1_xboole_0(C)) ) )  =>  ~ (v1_xboole_0(k10_gate_1(A, B, C))) ) ) ).
fof(fc33_gate_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_xboole_0(k11_gate_1(A, B, C))) ) ) ).
fof(fc34_gate_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_xboole_0(k11_gate_1(A, C, B))) ) ) ).
fof(fc35_gate_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_xboole_0(k11_gate_1(C, A, B))) ) ) ).
fof(fc36_gate_1, axiom,  (! [A, B, C] :  ( (v1_xboole_0(A) & v1_xboole_0(B))  => v1_xboole_0(k11_gate_1(A, B, C))) ) ).
fof(fc37_gate_1, axiom,  (! [A, B, C] :  ( (v1_xboole_0(A) & v1_xboole_0(B))  => v1_xboole_0(k11_gate_1(A, C, B))) ) ).
fof(fc38_gate_1, axiom,  (! [A, B, C] :  ( (v1_xboole_0(A) & v1_xboole_0(B))  => v1_xboole_0(k11_gate_1(C, A, B))) ) ).
fof(d1_gate_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  => k1_gate_1(A)=k1_xboole_0)  &  (v1_xboole_0(A) => k1_gate_1(A)=k1_tarski(k1_xboole_0)) ) ) ).
fof(t1_gate_1, axiom,  (k1_gate_1(k1_tarski(k1_xboole_0))=k1_xboole_0 & k1_gate_1(k1_xboole_0)=k1_tarski(k1_xboole_0)) ).
fof(t2_gate_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(k1_gate_1(A)))  <=> v1_xboole_0(A)) ) ).
fof(t3_gate_1, axiom,  ~ (v1_xboole_0(k1_gate_1(k1_xboole_0))) ).
fof(d2_gate_1, axiom,  (! [A] :  (! [B] :  ( ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ~ (k2_gate_1(A, B)=k1_gate_1(k1_xboole_0)) ) ) )  &  ( ~ ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) ) )  => k2_gate_1(A, B)=k1_xboole_0) ) ) ) ).
fof(t4_gate_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(k2_gate_1(A, B)))  <=>  ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(d3_gate_1, axiom,  (! [A] :  (! [B] :  ( ( ~ ( (v1_xboole_0(A) & v1_xboole_0(B)) )  => k3_gate_1(A, B)=k1_gate_1(k1_xboole_0))  &  ~ ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  ~ (k3_gate_1(A, B)=k1_xboole_0) ) ) ) ) ) ) ).
fof(t5_gate_1, axiom,  (! [A] :  (! [B] :  ( ~ ( ( ~ (v1_xboole_0(k3_gate_1(A, B)))  &  (v1_xboole_0(A) & v1_xboole_0(B)) ) )  &  ~ ( ( ~ ( (v1_xboole_0(A) & v1_xboole_0(B)) )  & v1_xboole_0(k3_gate_1(A, B))) ) ) ) ) ).
fof(d4_gate_1, axiom,  (! [A] :  (! [B] :  ( ( ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(B))  |  (v1_xboole_0(A) &  ~ (v1_xboole_0(B)) ) )  => k4_gate_1(A, B)=k1_gate_1(k1_xboole_0))  &  ~ ( ( ~ ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(B)) )  &  ( ~ ( (v1_xboole_0(A) &  ~ (v1_xboole_0(B)) ) )  &  ~ (k4_gate_1(A, B)=k1_xboole_0) ) ) ) ) ) ) ).
fof(t6_gate_1, axiom,  (! [A] :  (! [B] :  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(A, B)))  &  ( ~ ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(B)) )  &  ~ ( (v1_xboole_0(A) &  ~ (v1_xboole_0(B)) ) ) ) ) )  &  ~ ( ( ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(B))  |  (v1_xboole_0(A) &  ~ (v1_xboole_0(B)) ) )  & v1_xboole_0(k4_gate_1(A, B))) ) ) ) ) ).
fof(t7_gate_1, axiom,  (! [A] : v1_xboole_0(k4_gate_1(A, A))) ).
fof(t8_gate_1, axiom,  (! [A] :  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(A, k1_xboole_0)))  & v1_xboole_0(A)) )  &  ~ ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(k4_gate_1(A, k1_xboole_0))) ) ) ) ).
fof(t9_gate_1, axiom,  (! [A] :  (! [B] :  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(A, B)))  & v1_xboole_0(k4_gate_1(B, A))) )  &  ~ ( ( ~ (v1_xboole_0(k4_gate_1(B, A)))  & v1_xboole_0(k4_gate_1(A, B))) ) ) ) ) ).
fof(d5_gate_1, axiom,  (! [A] :  (! [B] :  ( ~ ( ( ~ ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(B)) )  &  ( ~ ( ( ~ (v1_xboole_0(B))  & v1_xboole_0(A)) )  &  ~ (k5_gate_1(A, B)=k1_gate_1(k1_xboole_0)) ) ) )  &  ( ~ ( ( ~ ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(B)) )  &  ~ ( ( ~ (v1_xboole_0(B))  & v1_xboole_0(A)) ) ) )  => k5_gate_1(A, B)=k1_xboole_0) ) ) ) ).
fof(t10_gate_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(k5_gate_1(A, B)))  <=>  ( ~ ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(B)) )  &  ~ ( ( ~ (v1_xboole_0(B))  & v1_xboole_0(A)) ) ) ) ) ) ).
fof(t11_gate_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(k5_gate_1(A, B)))  <=> v1_xboole_0(k4_gate_1(A, B))) ) ) ).
fof(d6_gate_1, axiom,  (! [A] :  (! [B] :  ( ( ~ ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) ) )  => k6_gate_1(A, B)=k1_gate_1(k1_xboole_0))  &  ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ~ (k6_gate_1(A, B)=k1_xboole_0) ) ) ) ) ) ) ).
fof(t12_gate_1, axiom,  (! [A] :  (! [B] :  ( ~ ( ( ~ (v1_xboole_0(k6_gate_1(A, B)))  &  ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) ) ) )  &  ~ ( ( ~ ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) ) )  & v1_xboole_0(k6_gate_1(A, B))) ) ) ) ) ).
fof(d7_gate_1, axiom,  (! [A] :  (! [B] :  ( ~ ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  ~ (k7_gate_1(A, B)=k1_gate_1(k1_xboole_0)) ) ) )  &  ( ~ ( (v1_xboole_0(A) & v1_xboole_0(B)) )  => k7_gate_1(A, B)=k1_xboole_0) ) ) ) ).
fof(t13_gate_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(k7_gate_1(A, B)))  <=>  (v1_xboole_0(A) & v1_xboole_0(B)) ) ) ) ).
fof(d8_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ~ (k8_gate_1(A, B, C)=k1_gate_1(k1_xboole_0)) ) ) ) )  &  ( ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ~ (v1_xboole_0(C)) ) ) )  => k8_gate_1(A, B, C)=k1_xboole_0) ) ) ) ) ).
fof(t14_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(k8_gate_1(A, B, C)))  <=>  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ~ (v1_xboole_0(C)) ) ) ) ) ) ) ).
fof(d9_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ ( (v1_xboole_0(A) &  (v1_xboole_0(B) & v1_xboole_0(C)) ) )  => k9_gate_1(A, B, C)=k1_gate_1(k1_xboole_0))  &  ~ ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) &  ~ (k9_gate_1(A, B, C)=k1_xboole_0) ) ) ) ) ) ) ) ) ).
fof(t15_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ ( ( ~ (v1_xboole_0(k9_gate_1(A, B, C)))  &  (v1_xboole_0(A) &  (v1_xboole_0(B) & v1_xboole_0(C)) ) ) )  &  ~ ( ( ~ ( (v1_xboole_0(A) &  (v1_xboole_0(B) & v1_xboole_0(C)) ) )  & v1_xboole_0(k9_gate_1(A, B, C))) ) ) ) ) ) ).
fof(d10_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ( ( ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(B))  |  (v1_xboole_0(A) &  ~ (v1_xboole_0(B)) ) )  & v1_xboole_0(C))  |  ( ~ ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(B)) )  &  ( ~ ( (v1_xboole_0(A) &  ~ (v1_xboole_0(B)) ) )  &  ~ (v1_xboole_0(C)) ) ) )  => k10_gate_1(A, B, C)=k1_gate_1(k1_xboole_0))  &  ~ ( ( ~ ( ( ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(B))  |  (v1_xboole_0(A) &  ~ (v1_xboole_0(B)) ) )  & v1_xboole_0(C)) )  &  ( ~ ( ( ~ ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(B)) )  &  ( ~ ( (v1_xboole_0(A) &  ~ (v1_xboole_0(B)) ) )  &  ~ (v1_xboole_0(C)) ) ) )  &  ~ (k10_gate_1(A, B, C)=k1_xboole_0) ) ) ) ) ) ) ) ).
fof(t16_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ ( ( ~ (v1_xboole_0(k10_gate_1(A, B, C)))  &  ( ~ ( ( ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(B))  |  (v1_xboole_0(A) &  ~ (v1_xboole_0(B)) ) )  & v1_xboole_0(C)) )  &  ~ ( ( ~ ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(B)) )  &  ( ~ ( (v1_xboole_0(A) &  ~ (v1_xboole_0(B)) ) )  &  ~ (v1_xboole_0(C)) ) ) ) ) ) )  &  ~ ( ( ( ( ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(B))  |  (v1_xboole_0(A) &  ~ (v1_xboole_0(B)) ) )  & v1_xboole_0(C))  |  ( ~ ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(B)) )  &  ( ~ ( (v1_xboole_0(A) &  ~ (v1_xboole_0(B)) ) )  &  ~ (v1_xboole_0(C)) ) ) )  & v1_xboole_0(k10_gate_1(A, B, C))) ) ) ) ) ) ).
fof(d11_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ ( ( ~ ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) ) )  &  ( ~ ( ( ~ (v1_xboole_0(B))  &  ~ (v1_xboole_0(C)) ) )  &  ~ ( ( ~ (v1_xboole_0(C))  &  ~ (v1_xboole_0(A)) ) ) ) ) )  => k11_gate_1(A, B, C)=k1_gate_1(k1_xboole_0))  &  ~ ( ( ~ ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) ) )  &  ( ~ ( ( ~ (v1_xboole_0(B))  &  ~ (v1_xboole_0(C)) ) )  &  ( ~ ( ( ~ (v1_xboole_0(C))  &  ~ (v1_xboole_0(A)) ) )  &  ~ (k11_gate_1(A, B, C)=k1_xboole_0) ) ) ) ) ) ) ) ) ).
fof(t17_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ ( ( ~ (v1_xboole_0(k11_gate_1(A, B, C)))  &  ( ~ ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) ) )  &  ( ~ ( ( ~ (v1_xboole_0(B))  &  ~ (v1_xboole_0(C)) ) )  &  ~ ( ( ~ (v1_xboole_0(C))  &  ~ (v1_xboole_0(A)) ) ) ) ) ) )  &  ~ ( ( ~ ( ( ~ ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) ) )  &  ( ~ ( ( ~ (v1_xboole_0(B))  &  ~ (v1_xboole_0(C)) ) )  &  ~ ( ( ~ (v1_xboole_0(C))  &  ~ (v1_xboole_0(A)) ) ) ) ) )  & v1_xboole_0(k11_gate_1(A, B, C))) ) ) ) ) ) ).
fof(d12_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ~ (v1_xboole_0(C)) ) ) )  => k12_gate_1(A, B, C)=k1_gate_1(k1_xboole_0))  &  ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ~ (k12_gate_1(A, B, C)=k1_xboole_0) ) ) ) ) ) ) ) ) ).
fof(t18_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ ( ( ~ (v1_xboole_0(k12_gate_1(A, B, C)))  &  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ~ (v1_xboole_0(C)) ) ) ) )  &  ~ ( ( ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ~ (v1_xboole_0(C)) ) ) )  & v1_xboole_0(k12_gate_1(A, B, C))) ) ) ) ) ) ).
fof(d13_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) &  ~ (k13_gate_1(A, B, C)=k1_gate_1(k1_xboole_0)) ) ) ) )  &  ( ~ ( (v1_xboole_0(A) &  (v1_xboole_0(B) & v1_xboole_0(C)) ) )  => k13_gate_1(A, B, C)=k1_xboole_0) ) ) ) ) ).
fof(t19_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(k13_gate_1(A, B, C)))  <=>  (v1_xboole_0(A) &  (v1_xboole_0(B) & v1_xboole_0(C)) ) ) ) ) ) ).
fof(d14_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ~ (k14_gate_1(A, B, C, D)=k1_gate_1(k1_xboole_0)) ) ) ) ) )  &  ( ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ~ (v1_xboole_0(D)) ) ) ) )  => k14_gate_1(A, B, C, D)=k1_xboole_0) ) ) ) ) ) ).
fof(t20_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ~ (v1_xboole_0(k14_gate_1(A, B, C, D)))  <=>  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ~ (v1_xboole_0(D)) ) ) ) ) ) ) ) ) ).
fof(d15_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ( ~ ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) & v1_xboole_0(D)) ) ) )  => k15_gate_1(A, B, C, D)=k1_gate_1(k1_xboole_0))  &  ~ ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) &  (v1_xboole_0(D) &  ~ (k15_gate_1(A, B, C, D)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ~ ( ( ~ (v1_xboole_0(k15_gate_1(A, B, C, D)))  &  (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) & v1_xboole_0(D)) ) ) ) )  &  ~ ( ( ~ ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) & v1_xboole_0(D)) ) ) )  & v1_xboole_0(k15_gate_1(A, B, C, D))) ) ) ) ) ) ) ).
fof(d16_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ( ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ~ (v1_xboole_0(D)) ) ) ) )  => k16_gate_1(A, B, C, D)=k1_gate_1(k1_xboole_0))  &  ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ~ (k16_gate_1(A, B, C, D)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ~ ( ( ~ (v1_xboole_0(k16_gate_1(A, B, C, D)))  &  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ~ (v1_xboole_0(D)) ) ) ) ) )  &  ~ ( ( ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ~ (v1_xboole_0(D)) ) ) ) )  & v1_xboole_0(k16_gate_1(A, B, C, D))) ) ) ) ) ) ) ).
fof(d17_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ~ ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) &  (v1_xboole_0(D) &  ~ (k17_gate_1(A, B, C, D)=k1_gate_1(k1_xboole_0)) ) ) ) ) )  &  ( ~ ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) & v1_xboole_0(D)) ) ) )  => k17_gate_1(A, B, C, D)=k1_xboole_0) ) ) ) ) ) ).
fof(t23_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ~ (v1_xboole_0(k17_gate_1(A, B, C, D)))  <=>  (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) & v1_xboole_0(D)) ) ) ) ) ) ) ) ).
fof(d18_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( ~ (v1_xboole_0(E))  &  ~ (k18_gate_1(A, B, C, D, E)=k1_gate_1(k1_xboole_0)) ) ) ) ) ) )  &  ( ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ~ (v1_xboole_0(E)) ) ) ) ) )  => k18_gate_1(A, B, C, D, E)=k1_xboole_0) ) ) ) ) ) ) ).
fof(t24_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( ~ (v1_xboole_0(k18_gate_1(A, B, C, D, E)))  <=>  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ~ (v1_xboole_0(E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( ( ~ ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) &  (v1_xboole_0(D) & v1_xboole_0(E)) ) ) ) )  => k19_gate_1(A, B, C, D, E)=k1_gate_1(k1_xboole_0))  &  ~ ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) &  (v1_xboole_0(D) &  (v1_xboole_0(E) &  ~ (k19_gate_1(A, B, C, D, E)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( ~ ( ( ~ (v1_xboole_0(k19_gate_1(A, B, C, D, E)))  &  (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) &  (v1_xboole_0(D) & v1_xboole_0(E)) ) ) ) ) )  &  ~ ( ( ~ ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) &  (v1_xboole_0(D) & v1_xboole_0(E)) ) ) ) )  & v1_xboole_0(k19_gate_1(A, B, C, D, E))) ) ) ) ) ) ) ) ).
fof(d20_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( ( ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ~ (v1_xboole_0(E)) ) ) ) ) )  => k20_gate_1(A, B, C, D, E)=k1_gate_1(k1_xboole_0))  &  ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( ~ (v1_xboole_0(E))  &  ~ (k20_gate_1(A, B, C, D, E)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( ~ ( ( ~ (v1_xboole_0(k20_gate_1(A, B, C, D, E)))  &  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ~ (v1_xboole_0(E)) ) ) ) ) ) )  &  ~ ( ( ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ~ (v1_xboole_0(E)) ) ) ) ) )  & v1_xboole_0(k20_gate_1(A, B, C, D, E))) ) ) ) ) ) ) ) ).
fof(d21_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( ~ ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) &  (v1_xboole_0(D) &  (v1_xboole_0(E) &  ~ (k21_gate_1(A, B, C, D, E)=k1_gate_1(k1_xboole_0)) ) ) ) ) ) )  &  ( ~ ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) &  (v1_xboole_0(D) & v1_xboole_0(E)) ) ) ) )  => k21_gate_1(A, B, C, D, E)=k1_xboole_0) ) ) ) ) ) ) ).
fof(t27_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( ~ (v1_xboole_0(k21_gate_1(A, B, C, D, E)))  <=>  (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) &  (v1_xboole_0(D) & v1_xboole_0(E)) ) ) ) ) ) ) ) ) ) ).
fof(d22_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( ~ (v1_xboole_0(E))  &  ( ~ (v1_xboole_0(F))  &  ~ (k22_gate_1(A, B, C, D, E, F)=k1_gate_1(k1_xboole_0)) ) ) ) ) ) ) )  &  ( ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( ~ (v1_xboole_0(E))  &  ~ (v1_xboole_0(F)) ) ) ) ) ) )  => k22_gate_1(A, B, C, D, E, F)=k1_xboole_0) ) ) ) ) ) ) ) ).
fof(t28_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( ~ (v1_xboole_0(k22_gate_1(A, B, C, D, E, F)))  <=>  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( ~ (v1_xboole_0(E))  &  ~ (v1_xboole_0(F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d23_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( ( ~ ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) &  (v1_xboole_0(D) &  (v1_xboole_0(E) & v1_xboole_0(F)) ) ) ) ) )  => k23_gate_1(A, B, C, D, E, F)=k1_gate_1(k1_xboole_0))  &  ~ ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) &  (v1_xboole_0(D) &  (v1_xboole_0(E) &  (v1_xboole_0(F) &  ~ (k23_gate_1(A, B, C, D, E, F)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( ~ ( ( ~ (v1_xboole_0(k23_gate_1(A, B, C, D, E, F)))  &  (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) &  (v1_xboole_0(D) &  (v1_xboole_0(E) & v1_xboole_0(F)) ) ) ) ) ) )  &  ~ ( ( ~ ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) &  (v1_xboole_0(D) &  (v1_xboole_0(E) & v1_xboole_0(F)) ) ) ) ) )  & v1_xboole_0(k23_gate_1(A, B, C, D, E, F))) ) ) ) ) ) ) ) ) ).
fof(d24_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( ( ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( ~ (v1_xboole_0(E))  &  ~ (v1_xboole_0(F)) ) ) ) ) ) )  => k24_gate_1(A, B, C, D, E, F)=k1_gate_1(k1_xboole_0))  &  ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( ~ (v1_xboole_0(E))  &  ( ~ (v1_xboole_0(F))  &  ~ (k24_gate_1(A, B, C, D, E, F)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( ~ ( ( ~ (v1_xboole_0(k24_gate_1(A, B, C, D, E, F)))  &  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( ~ (v1_xboole_0(E))  &  ~ (v1_xboole_0(F)) ) ) ) ) ) ) )  &  ~ ( ( ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( ~ (v1_xboole_0(E))  &  ~ (v1_xboole_0(F)) ) ) ) ) ) )  & v1_xboole_0(k24_gate_1(A, B, C, D, E, F))) ) ) ) ) ) ) ) ) ).
fof(d25_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( ~ ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) &  (v1_xboole_0(D) &  (v1_xboole_0(E) &  (v1_xboole_0(F) &  ~ (k25_gate_1(A, B, C, D, E, F)=k1_gate_1(k1_xboole_0)) ) ) ) ) ) ) )  &  ( ~ ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) &  (v1_xboole_0(D) &  (v1_xboole_0(E) & v1_xboole_0(F)) ) ) ) ) )  => k25_gate_1(A, B, C, D, E, F)=k1_xboole_0) ) ) ) ) ) ) ) ).
fof(t31_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( ~ (v1_xboole_0(k25_gate_1(A, B, C, D, E, F)))  <=>  (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) &  (v1_xboole_0(D) &  (v1_xboole_0(E) & v1_xboole_0(F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d26_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  ( ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( ~ (v1_xboole_0(E))  &  ( ~ (v1_xboole_0(F))  &  ( ~ (v1_xboole_0(G))  &  ~ (k26_gate_1(A, B, C, D, E, F, G)=k1_gate_1(k1_xboole_0)) ) ) ) ) ) ) ) )  &  ( ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( ~ (v1_xboole_0(E))  &  ( ~ (v1_xboole_0(F))  &  ~ (v1_xboole_0(G)) ) ) ) ) ) ) )  => k26_gate_1(A, B, C, D, E, F, G)=k1_xboole_0) ) ) ) ) ) ) ) ) ).
fof(t32_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  ( ~ (v1_xboole_0(k26_gate_1(A, B, C, D, E, F, G)))  <=>  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( ~ (v1_xboole_0(E))  &  ( ~ (v1_xboole_0(F))  &  ~ (v1_xboole_0(G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d27_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  ( ( ~ ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) &  (v1_xboole_0(D) &  (v1_xboole_0(E) &  (v1_xboole_0(F) & v1_xboole_0(G)) ) ) ) ) ) )  => k27_gate_1(A, B, C, D, E, F, G)=k1_gate_1(k1_xboole_0))  &  ~ ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) &  (v1_xboole_0(D) &  (v1_xboole_0(E) &  (v1_xboole_0(F) &  (v1_xboole_0(G) &  ~ (k27_gate_1(A, B, C, D, E, F, G)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  ( ~ ( ( ~ (v1_xboole_0(k27_gate_1(A, B, C, D, E, F, G)))  &  (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) &  (v1_xboole_0(D) &  (v1_xboole_0(E) &  (v1_xboole_0(F) & v1_xboole_0(G)) ) ) ) ) ) ) )  &  ~ ( ( ~ ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) &  (v1_xboole_0(D) &  (v1_xboole_0(E) &  (v1_xboole_0(F) & v1_xboole_0(G)) ) ) ) ) ) )  & v1_xboole_0(k27_gate_1(A, B, C, D, E, F, G))) ) ) ) ) ) ) ) ) ) ).
fof(d28_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  ( ( ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( ~ (v1_xboole_0(E))  &  ( ~ (v1_xboole_0(F))  &  ~ (v1_xboole_0(G)) ) ) ) ) ) ) )  => k28_gate_1(A, B, C, D, E, F, G)=k1_gate_1(k1_xboole_0))  &  ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( ~ (v1_xboole_0(E))  &  ( ~ (v1_xboole_0(F))  &  ( ~ (v1_xboole_0(G))  &  ~ (k28_gate_1(A, B, C, D, E, F, G)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  ( ~ ( ( ~ (v1_xboole_0(k28_gate_1(A, B, C, D, E, F, G)))  &  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( ~ (v1_xboole_0(E))  &  ( ~ (v1_xboole_0(F))  &  ~ (v1_xboole_0(G)) ) ) ) ) ) ) ) )  &  ~ ( ( ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( ~ (v1_xboole_0(E))  &  ( ~ (v1_xboole_0(F))  &  ~ (v1_xboole_0(G)) ) ) ) ) ) ) )  & v1_xboole_0(k28_gate_1(A, B, C, D, E, F, G))) ) ) ) ) ) ) ) ) ) ).
fof(d29_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  ( ~ ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) &  (v1_xboole_0(D) &  (v1_xboole_0(E) &  (v1_xboole_0(F) &  (v1_xboole_0(G) &  ~ (k29_gate_1(A, B, C, D, E, F, G)=k1_gate_1(k1_xboole_0)) ) ) ) ) ) ) ) )  &  ( ~ ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) &  (v1_xboole_0(D) &  (v1_xboole_0(E) &  (v1_xboole_0(F) & v1_xboole_0(G)) ) ) ) ) ) )  => k29_gate_1(A, B, C, D, E, F, G)=k1_xboole_0) ) ) ) ) ) ) ) ) ).
fof(t35_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  ( ~ (v1_xboole_0(k29_gate_1(A, B, C, D, E, F, G)))  <=>  (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) &  (v1_xboole_0(D) &  (v1_xboole_0(E) &  (v1_xboole_0(F) & v1_xboole_0(G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d30_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  ( ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( ~ (v1_xboole_0(E))  &  ( ~ (v1_xboole_0(F))  &  ( ~ (v1_xboole_0(G))  &  ( ~ (v1_xboole_0(H))  &  ~ (k30_gate_1(A, B, C, D, E, F, G, H)=k1_gate_1(k1_xboole_0)) ) ) ) ) ) ) ) ) )  &  ( ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( ~ (v1_xboole_0(E))  &  ( ~ (v1_xboole_0(F))  &  ( ~ (v1_xboole_0(G))  &  ~ (v1_xboole_0(H)) ) ) ) ) ) ) ) )  => k30_gate_1(A, B, C, D, E, F, G, H)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ).
fof(t36_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  ( ~ (v1_xboole_0(k30_gate_1(A, B, C, D, E, F, G, H)))  <=>  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( ~ (v1_xboole_0(E))  &  ( ~ (v1_xboole_0(F))  &  ( ~ (v1_xboole_0(G))  &  ~ (v1_xboole_0(H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d31_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  ( ( ~ ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) &  (v1_xboole_0(D) &  (v1_xboole_0(E) &  (v1_xboole_0(F) &  (v1_xboole_0(G) & v1_xboole_0(H)) ) ) ) ) ) ) )  => k31_gate_1(A, B, C, D, E, F, G, H)=k1_gate_1(k1_xboole_0))  &  ~ ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) &  (v1_xboole_0(D) &  (v1_xboole_0(E) &  (v1_xboole_0(F) &  (v1_xboole_0(G) &  (v1_xboole_0(H) &  ~ (k31_gate_1(A, B, C, D, E, F, G, H)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  ( ~ ( ( ~ (v1_xboole_0(k31_gate_1(A, B, C, D, E, F, G, H)))  &  (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) &  (v1_xboole_0(D) &  (v1_xboole_0(E) &  (v1_xboole_0(F) &  (v1_xboole_0(G) & v1_xboole_0(H)) ) ) ) ) ) ) ) )  &  ~ ( ( ~ ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) &  (v1_xboole_0(D) &  (v1_xboole_0(E) &  (v1_xboole_0(F) &  (v1_xboole_0(G) & v1_xboole_0(H)) ) ) ) ) ) ) )  & v1_xboole_0(k31_gate_1(A, B, C, D, E, F, G, H))) ) ) ) ) ) ) ) ) ) ) ).
fof(d32_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  ( ( ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( ~ (v1_xboole_0(E))  &  ( ~ (v1_xboole_0(F))  &  ( ~ (v1_xboole_0(G))  &  ~ (v1_xboole_0(H)) ) ) ) ) ) ) ) )  => k32_gate_1(A, B, C, D, E, F, G, H)=k1_gate_1(k1_xboole_0))  &  ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( ~ (v1_xboole_0(E))  &  ( ~ (v1_xboole_0(F))  &  ( ~ (v1_xboole_0(G))  &  ( ~ (v1_xboole_0(H))  &  ~ (k32_gate_1(A, B, C, D, E, F, G, H)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  ( ~ ( ( ~ (v1_xboole_0(k32_gate_1(A, B, C, D, E, F, G, H)))  &  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( ~ (v1_xboole_0(E))  &  ( ~ (v1_xboole_0(F))  &  ( ~ (v1_xboole_0(G))  &  ~ (v1_xboole_0(H)) ) ) ) ) ) ) ) ) )  &  ~ ( ( ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( ~ (v1_xboole_0(E))  &  ( ~ (v1_xboole_0(F))  &  ( ~ (v1_xboole_0(G))  &  ~ (v1_xboole_0(H)) ) ) ) ) ) ) ) )  & v1_xboole_0(k32_gate_1(A, B, C, D, E, F, G, H))) ) ) ) ) ) ) ) ) ) ) ).
fof(d33_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  ( ~ ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) &  (v1_xboole_0(D) &  (v1_xboole_0(E) &  (v1_xboole_0(F) &  (v1_xboole_0(G) &  (v1_xboole_0(H) &  ~ (k33_gate_1(A, B, C, D, E, F, G, H)=k1_gate_1(k1_xboole_0)) ) ) ) ) ) ) ) ) )  &  ( ~ ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) &  (v1_xboole_0(D) &  (v1_xboole_0(E) &  (v1_xboole_0(F) &  (v1_xboole_0(G) & v1_xboole_0(H)) ) ) ) ) ) ) )  => k33_gate_1(A, B, C, D, E, F, G, H)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ).
fof(t39_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  ( ~ (v1_xboole_0(k33_gate_1(A, B, C, D, E, F, G, H)))  <=>  (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) &  (v1_xboole_0(D) &  (v1_xboole_0(E) &  (v1_xboole_0(F) &  (v1_xboole_0(G) & v1_xboole_0(H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  (! [J] :  (! [K] :  (! [L] :  (! [M] :  (! [N] :  (! [O] :  (! [P] :  (! [Q] :  (! [R] :  (! [S] :  ~ ( ( ~ ( ( ~ (v1_xboole_0(k11_gate_1(B, F, A)))  & v1_xboole_0(J)) )  &  ( ~ ( ( ~ (v1_xboole_0(k11_gate_1(C, G, J)))  & v1_xboole_0(K)) )  &  ( ~ ( ( ~ (v1_xboole_0(k11_gate_1(D, H, K)))  & v1_xboole_0(L)) )  &  ( ~ ( ( ~ (v1_xboole_0(k11_gate_1(E, I, L)))  & v1_xboole_0(M)) )  &  ( ~ ( ( ~ (v1_xboole_0(N))  & v1_xboole_0(k3_gate_1(B, F))) )  &  ( ~ ( ( ~ (v1_xboole_0(O))  & v1_xboole_0(k3_gate_1(C, G))) )  &  ( ~ ( ( ~ (v1_xboole_0(P))  & v1_xboole_0(k3_gate_1(D, H))) )  &  ( ~ ( ( ~ (v1_xboole_0(Q))  & v1_xboole_0(k3_gate_1(E, I))) )  &  ( ~ ( ( ~ (v1_xboole_0(R))  & v1_xboole_0(k18_gate_1(A, N, O, P, Q))) )  &  ( ~ ( ( ~ (v1_xboole_0(S))  & v1_xboole_0(k3_gate_1(M, R))) )  &  ( ~ ( ( ~ (v1_xboole_0(k3_gate_1(M, R)))  & v1_xboole_0(S)) )  &  ~ ( ( ~ ( ( ~ (v1_xboole_0(M))  & v1_xboole_0(S)) )  &  ~ ( ( ~ (v1_xboole_0(S))  & v1_xboole_0(M)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d34_gate_1, axiom,  (! [A] :  (! [B] :  ( ~ ( ( ~ ( (v1_xboole_0(A) & v1_xboole_0(B)) )  &  ( ~ ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) ) )  &  ~ (k34_gate_1(A, B)=k1_gate_1(k1_xboole_0)) ) ) )  &  ( ~ ( ( ~ ( (v1_xboole_0(A) & v1_xboole_0(B)) )  &  ~ ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) ) ) ) )  => k34_gate_1(A, B)=k1_xboole_0) ) ) ) ).
fof(t41_gate_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(k34_gate_1(A, B)))  <=>  ( ~ ( (v1_xboole_0(A) & v1_xboole_0(B)) )  &  ~ ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) ) ) ) ) ) ) ).
fof(d35_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k35_gate_1(A, B, C, D, E)=k10_gate_1(C, D, k11_gate_1(A, B, E))) ) ) ) ) ).
fof(d36_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k36_gate_1(A, B, C, D, E)=k11_gate_1(C, D, k11_gate_1(A, B, E))) ) ) ) ) ).
fof(d37_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] : k37_gate_1(A, B, C, D, E, F, G)=k10_gate_1(E, F, k36_gate_1(A, B, C, D, G))) ) ) ) ) ) ) ).
fof(d38_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] : k38_gate_1(A, B, C, D, E, F, G)=k11_gate_1(E, F, k36_gate_1(A, B, C, D, G))) ) ) ) ) ) ) ).
fof(d39_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] : k39_gate_1(A, B, C, D, E, F, G, H, I)=k10_gate_1(G, H, k38_gate_1(A, B, C, D, E, F, I))) ) ) ) ) ) ) ) ) ).
fof(d40_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] : k40_gate_1(A, B, C, D, E, F, G, H, I)=k11_gate_1(G, H, k38_gate_1(A, B, C, D, E, F, I))) ) ) ) ) ) ) ) ) ).
fof(t42_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  (! [J] :  (! [K] :  (! [L] :  (! [M] :  (! [N] :  (! [O] :  (! [P] :  (! [Q] :  (! [R] :  (! [S] :  (! [T] :  (! [U] :  (! [V] :  (! [W] :  (! [X] :  (! [Y] :  (! [Z] :  (! [A1] :  (! [B1] :  (! [C1] :  (! [D1] :  (! [E1] :  (! [F1] :  (! [G1] :  (! [H1] :  (! [I1] :  (! [J1] :  (! [K1] :  (! [L1] :  (! [M1] :  (! [N1] :  (! [O1] :  ~ ( ( ~ ( ( ~ (v1_xboole_0(K))  & v1_xboole_0(k7_gate_1(B, C))) )  &  ( ~ ( ( ~ (v1_xboole_0(k7_gate_1(B, C)))  & v1_xboole_0(K)) )  &  ( ~ ( ( ~ (v1_xboole_0(L))  & v1_xboole_0(k6_gate_1(B, C))) )  &  ( ~ ( ( ~ (v1_xboole_0(k6_gate_1(B, C)))  & v1_xboole_0(L)) )  &  ( ~ ( ( ~ (v1_xboole_0(M))  & v1_xboole_0(k34_gate_1(B, C))) )  &  ( ~ ( ( ~ (v1_xboole_0(k34_gate_1(B, C)))  & v1_xboole_0(M)) )  &  ( ~ ( ( ~ (v1_xboole_0(N))  & v1_xboole_0(k7_gate_1(D, E))) )  &  ( ~ ( ( ~ (v1_xboole_0(k7_gate_1(D, E)))  & v1_xboole_0(N)) )  &  ( ~ ( ( ~ (v1_xboole_0(O))  & v1_xboole_0(k6_gate_1(D, E))) )  &  ( ~ ( ( ~ (v1_xboole_0(k6_gate_1(D, E)))  & v1_xboole_0(O)) )  &  ( ~ ( ( ~ (v1_xboole_0(P))  & v1_xboole_0(k34_gate_1(D, E))) )  &  ( ~ ( ( ~ (v1_xboole_0(k34_gate_1(D, E)))  & v1_xboole_0(P)) )  &  ( ~ ( ( ~ (v1_xboole_0(Q))  & v1_xboole_0(k7_gate_1(F, G))) )  &  ( ~ ( ( ~ (v1_xboole_0(k7_gate_1(F, G)))  & v1_xboole_0(Q)) )  &  ( ~ ( ( ~ (v1_xboole_0(R))  & v1_xboole_0(k6_gate_1(F, G))) )  &  ( ~ ( ( ~ (v1_xboole_0(k6_gate_1(F, G)))  & v1_xboole_0(R)) )  &  ( ~ ( ( ~ (v1_xboole_0(S))  & v1_xboole_0(k34_gate_1(F, G))) )  &  ( ~ ( ( ~ (v1_xboole_0(k34_gate_1(F, G)))  & v1_xboole_0(S)) )  &  ( ~ ( ( ~ (v1_xboole_0(T))  & v1_xboole_0(k7_gate_1(H, I))) )  &  ( ~ ( ( ~ (v1_xboole_0(k7_gate_1(H, I)))  & v1_xboole_0(T)) )  &  ( ~ ( ( ~ (v1_xboole_0(U))  & v1_xboole_0(k6_gate_1(H, I))) )  &  ( ~ ( ( ~ (v1_xboole_0(k6_gate_1(H, I)))  & v1_xboole_0(U)) )  &  ( ~ ( ( ~ (v1_xboole_0(V))  & v1_xboole_0(k34_gate_1(H, I))) )  &  ( ~ ( ( ~ (v1_xboole_0(k34_gate_1(H, I)))  & v1_xboole_0(V)) )  &  ( ~ ( ( ~ (v1_xboole_0(W))  & v1_xboole_0(k1_gate_1(A))) )  &  ( ~ ( ( ~ (v1_xboole_0(k1_gate_1(A)))  & v1_xboole_0(W)) )  &  ( ~ ( ( ~ (v1_xboole_0(X))  & v1_xboole_0(k1_gate_1(W))) )  &  ( ~ ( ( ~ (v1_xboole_0(k1_gate_1(W)))  & v1_xboole_0(X)) )  &  ( ~ ( ( ~ (v1_xboole_0(L1))  & v1_xboole_0(k4_gate_1(X, M))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(X, M)))  & v1_xboole_0(L1)) )  &  ( ~ ( ( ~ (v1_xboole_0(Y))  & v1_xboole_0(k2_gate_1(W, L))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(W, L)))  & v1_xboole_0(Y)) )  &  ( ~ ( ( ~ (v1_xboole_0(Z))  & v1_xboole_0(k7_gate_1(Y, K))) )  &  ( ~ ( ( ~ (v1_xboole_0(k7_gate_1(Y, K)))  & v1_xboole_0(Z)) )  &  ( ~ ( ( ~ (v1_xboole_0(M1))  & v1_xboole_0(k4_gate_1(Z, P))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(Z, P)))  & v1_xboole_0(M1)) )  &  ( ~ ( ( ~ (v1_xboole_0(A1))  & v1_xboole_0(k2_gate_1(K, O))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(K, O)))  & v1_xboole_0(A1)) )  &  ( ~ ( ( ~ (v1_xboole_0(B1))  & v1_xboole_0(k8_gate_1(O, L, W))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(O, L, W)))  & v1_xboole_0(B1)) )  &  ( ~ ( ( ~ (v1_xboole_0(C1))  & v1_xboole_0(k13_gate_1(A1, B1, N))) )  &  ( ~ ( ( ~ (v1_xboole_0(k13_gate_1(A1, B1, N)))  & v1_xboole_0(C1)) )  &  ( ~ ( ( ~ (v1_xboole_0(N1))  & v1_xboole_0(k4_gate_1(C1, S))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(C1, S)))  & v1_xboole_0(N1)) )  &  ( ~ ( ( ~ (v1_xboole_0(D1))  & v1_xboole_0(k2_gate_1(N, R))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(N, R)))  & v1_xboole_0(D1)) )  &  ( ~ ( ( ~ (v1_xboole_0(E1))  & v1_xboole_0(k8_gate_1(K, R, O))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(K, R, O)))  & v1_xboole_0(E1)) )  &  ( ~ ( ( ~ (v1_xboole_0(F1))  & v1_xboole_0(k14_gate_1(R, O, L, W))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(R, O, L, W)))  & v1_xboole_0(F1)) )  &  ( ~ ( ( ~ (v1_xboole_0(G1))  & v1_xboole_0(k17_gate_1(D1, E1, F1, Q))) )  &  ( ~ ( ( ~ (v1_xboole_0(k17_gate_1(D1, E1, F1, Q)))  & v1_xboole_0(G1)) )  &  ( ~ ( ( ~ (v1_xboole_0(O1))  & v1_xboole_0(k4_gate_1(G1, V))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(G1, V)))  & v1_xboole_0(O1)) )  &  ( ~ ( ( ~ (v1_xboole_0(H1))  & v1_xboole_0(k2_gate_1(Q, U))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(Q, U)))  & v1_xboole_0(H1)) )  &  ( ~ ( ( ~ (v1_xboole_0(I1))  & v1_xboole_0(k8_gate_1(N, U, R))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(N, U, R)))  & v1_xboole_0(I1)) )  &  ( ~ ( ( ~ (v1_xboole_0(J1))  & v1_xboole_0(k14_gate_1(K, U, R, O))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(K, U, R, O)))  & v1_xboole_0(J1)) )  &  ( ~ ( ( ~ (v1_xboole_0(K1))  & v1_xboole_0(k18_gate_1(U, R, O, L, W))) )  &  ( ~ ( ( ~ (v1_xboole_0(k18_gate_1(U, R, O, L, W)))  & v1_xboole_0(K1)) )  &  ( ~ ( ( ~ (v1_xboole_0(J))  & v1_xboole_0(k21_gate_1(T, H1, I1, J1, K1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k21_gate_1(T, H1, I1, J1, K1)))  & v1_xboole_0(J)) )  &  ~ ( ( ~ ( ( ~ (v1_xboole_0(L1))  & v1_xboole_0(k10_gate_1(B, C, A))) )  &  ( ~ ( ( ~ (v1_xboole_0(k10_gate_1(B, C, A)))  & v1_xboole_0(L1)) )  &  ( ~ ( ( ~ (v1_xboole_0(M1))  & v1_xboole_0(k35_gate_1(B, C, D, E, A))) )  &  ( ~ ( ( ~ (v1_xboole_0(k35_gate_1(B, C, D, E, A)))  & v1_xboole_0(M1)) )  &  ( ~ ( ( ~ (v1_xboole_0(N1))  & v1_xboole_0(k37_gate_1(B, C, D, E, F, G, A))) )  &  ( ~ ( ( ~ (v1_xboole_0(k37_gate_1(B, C, D, E, F, G, A)))  & v1_xboole_0(N1)) )  &  ( ~ ( ( ~ (v1_xboole_0(O1))  & v1_xboole_0(k39_gate_1(B, C, D, E, F, G, H, I, A))) )  &  ( ~ ( ( ~ (v1_xboole_0(k39_gate_1(B, C, D, E, F, G, H, I, A)))  & v1_xboole_0(O1)) )  &  ( ~ ( ( ~ (v1_xboole_0(J))  & v1_xboole_0(k40_gate_1(B, C, D, E, F, G, H, I, A))) )  &  ~ ( ( ~ (v1_xboole_0(k40_gate_1(B, C, D, E, F, G, H, I, A)))  & v1_xboole_0(J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(commutativity_k2_gate_1, axiom,  (! [A, B] : k2_gate_1(A, B)=k2_gate_1(B, A)) ).
fof(commutativity_k3_gate_1, axiom,  (! [A, B] : k3_gate_1(A, B)=k3_gate_1(B, A)) ).
fof(commutativity_k4_gate_1, axiom,  (! [A, B] : k4_gate_1(A, B)=k4_gate_1(B, A)) ).
fof(commutativity_k5_gate_1, axiom,  (! [A, B] : k5_gate_1(A, B)=k5_gate_1(B, A)) ).
fof(commutativity_k6_gate_1, axiom,  (! [A, B] : k6_gate_1(A, B)=k6_gate_1(B, A)) ).
fof(commutativity_k7_gate_1, axiom,  (! [A, B] : k7_gate_1(A, B)=k7_gate_1(B, A)) ).
fof(commutativity_k34_gate_1, axiom,  (! [A, B] : k34_gate_1(A, B)=k34_gate_1(B, A)) ).
fof(t1_gate_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  (! [J] :  (! [K] :  (! [L] :  (! [M] :  (! [N] :  (! [O] :  (! [P] :  (! [Q] :  (! [R] :  (! [S] :  (! [T] :  (! [U] :  (! [V] :  ~ ( ( ~ ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(k8_gate_1(k1_gate_1(S), k1_gate_1(R), k1_gate_1(Q)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(k1_gate_1(S), k1_gate_1(R), k1_gate_1(Q))))  & v1_xboole_0(A)) )  &  ( ~ ( ( ~ (v1_xboole_0(B))  & v1_xboole_0(k8_gate_1(k1_gate_1(S), k1_gate_1(R), Q))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(k1_gate_1(S), k1_gate_1(R), Q)))  & v1_xboole_0(B)) )  &  ( ~ ( ( ~ (v1_xboole_0(C))  & v1_xboole_0(k8_gate_1(k1_gate_1(S), R, k1_gate_1(Q)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(k1_gate_1(S), R, k1_gate_1(Q))))  & v1_xboole_0(C)) )  &  ( ~ ( ( ~ (v1_xboole_0(D))  & v1_xboole_0(k8_gate_1(k1_gate_1(S), R, Q))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(k1_gate_1(S), R, Q)))  & v1_xboole_0(D)) )  &  ( ~ ( ( ~ (v1_xboole_0(E))  & v1_xboole_0(k8_gate_1(S, k1_gate_1(R), k1_gate_1(Q)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(S, k1_gate_1(R), k1_gate_1(Q))))  & v1_xboole_0(E)) )  &  ( ~ ( ( ~ (v1_xboole_0(F))  & v1_xboole_0(k8_gate_1(S, k1_gate_1(R), Q))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(S, k1_gate_1(R), Q)))  & v1_xboole_0(F)) )  &  ( ~ ( ( ~ (v1_xboole_0(G))  & v1_xboole_0(k8_gate_1(S, R, k1_gate_1(Q)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(S, R, k1_gate_1(Q))))  & v1_xboole_0(G)) )  &  ( ~ ( ( ~ (v1_xboole_0(H))  & v1_xboole_0(k8_gate_1(S, R, Q))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(S, R, Q)))  & v1_xboole_0(H)) )  &  ( ~ ( ( ~ (v1_xboole_0(I))  & v1_xboole_0(k8_gate_1(k1_gate_1(V), k1_gate_1(U), k1_gate_1(T)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(k1_gate_1(V), k1_gate_1(U), k1_gate_1(T))))  & v1_xboole_0(I)) )  &  ( ~ ( ( ~ (v1_xboole_0(J))  & v1_xboole_0(k8_gate_1(k1_gate_1(V), k1_gate_1(U), T))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(k1_gate_1(V), k1_gate_1(U), T)))  & v1_xboole_0(J)) )  &  ( ~ ( ( ~ (v1_xboole_0(K))  & v1_xboole_0(k8_gate_1(k1_gate_1(V), U, k1_gate_1(T)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(k1_gate_1(V), U, k1_gate_1(T))))  & v1_xboole_0(K)) )  &  ( ~ ( ( ~ (v1_xboole_0(L))  & v1_xboole_0(k8_gate_1(k1_gate_1(V), U, T))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(k1_gate_1(V), U, T)))  & v1_xboole_0(L)) )  &  ( ~ ( ( ~ (v1_xboole_0(M))  & v1_xboole_0(k8_gate_1(V, k1_gate_1(U), k1_gate_1(T)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(V, k1_gate_1(U), k1_gate_1(T))))  & v1_xboole_0(M)) )  &  ( ~ ( ( ~ (v1_xboole_0(N))  & v1_xboole_0(k8_gate_1(V, k1_gate_1(U), T))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(V, k1_gate_1(U), T)))  & v1_xboole_0(N)) )  &  ( ~ ( ( ~ (v1_xboole_0(O))  & v1_xboole_0(k8_gate_1(V, U, k1_gate_1(T)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(V, U, k1_gate_1(T))))  & v1_xboole_0(O)) )  &  ( ~ ( ( ~ (v1_xboole_0(P))  & v1_xboole_0(k8_gate_1(V, U, T))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(V, U, T)))  & v1_xboole_0(P)) )  &  ( ~ ( ( ~ (v1_xboole_0(T))  & v1_xboole_0(k1_gate_1(Q))) )  &  ( ~ ( ( ~ (v1_xboole_0(k1_gate_1(Q)))  & v1_xboole_0(T)) )  &  ( ~ ( ( ~ (v1_xboole_0(U))  & v1_xboole_0(k4_gate_1(Q, R))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(Q, R)))  & v1_xboole_0(U)) )  &  ( ~ ( ( ~ (v1_xboole_0(V))  & v1_xboole_0(k3_gate_1(k2_gate_1(S, k1_gate_1(Q)), k2_gate_1(Q, k4_gate_1(R, S))))) )  &  ( ~ ( ( ~ (v1_xboole_0(k3_gate_1(k2_gate_1(S, k1_gate_1(Q)), k2_gate_1(Q, k4_gate_1(R, S)))))  & v1_xboole_0(V)) )  &  ~ ( ( ~ ( ( ~ (v1_xboole_0(J))  & v1_xboole_0(A)) )  &  ( ~ ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(J)) )  &  ( ~ ( ( ~ (v1_xboole_0(K))  & v1_xboole_0(B)) )  &  ( ~ ( ( ~ (v1_xboole_0(B))  & v1_xboole_0(K)) )  &  ( ~ ( ( ~ (v1_xboole_0(L))  & v1_xboole_0(C)) )  &  ( ~ ( ( ~ (v1_xboole_0(C))  & v1_xboole_0(L)) )  &  ( ~ ( ( ~ (v1_xboole_0(M))  & v1_xboole_0(D)) )  &  ( ~ ( ( ~ (v1_xboole_0(D))  & v1_xboole_0(M)) )  &  ( ~ ( ( ~ (v1_xboole_0(N))  & v1_xboole_0(E)) )  &  ( ~ ( ( ~ (v1_xboole_0(E))  & v1_xboole_0(N)) )  &  ( ~ ( ( ~ (v1_xboole_0(O))  & v1_xboole_0(F)) )  &  ( ~ ( ( ~ (v1_xboole_0(F))  & v1_xboole_0(O)) )  &  ( ~ ( ( ~ (v1_xboole_0(P))  & v1_xboole_0(G)) )  &  ( ~ ( ( ~ (v1_xboole_0(G))  & v1_xboole_0(P)) )  &  ( ~ ( ( ~ (v1_xboole_0(I))  & v1_xboole_0(H)) )  &  ~ ( ( ~ (v1_xboole_0(H))  & v1_xboole_0(I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_gate_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(k2_gate_1(A, D), k2_gate_1(B, D), k2_gate_1(C, D))))  & v1_xboole_0(k2_gate_1(k8_gate_1(A, B, C), D))) )  &  ~ ( ( ~ (v1_xboole_0(k2_gate_1(k8_gate_1(A, B, C), D)))  & v1_xboole_0(k8_gate_1(k2_gate_1(A, D), k2_gate_1(B, D), k2_gate_1(C, D)))) ) ) ) ) ) ) ).
fof(t3_gate_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ~ ( (v1_xboole_0(k2_gate_1(A, B)) & v1_xboole_0(k3_gate_1(k1_gate_1(A), k1_gate_1(B)))) )  &  ( ( ~ (v1_xboole_0(k3_gate_1(k1_gate_1(A), k1_gate_1(B))))  => v1_xboole_0(k2_gate_1(A, B)))  &  ( ~ ( ( ~ (v1_xboole_0(k3_gate_1(A, B)))  &  ( ~ (v1_xboole_0(k3_gate_1(C, B)))  & v1_xboole_0(k3_gate_1(k2_gate_1(A, C), B))) ) )  &  ( ( ~ (v1_xboole_0(k3_gate_1(k2_gate_1(A, C), B)))  =>  ( ~ (v1_xboole_0(k3_gate_1(A, B)))  &  ~ (v1_xboole_0(k3_gate_1(C, B))) ) )  &  ( ~ ( ( ~ (v1_xboole_0(k3_gate_1(A, B)))  &  ( ~ (v1_xboole_0(k3_gate_1(C, B)))  &  ( ~ (v1_xboole_0(k3_gate_1(D, B)))  & v1_xboole_0(k3_gate_1(k8_gate_1(A, C, D), B))) ) ) )  &  ( ( ~ (v1_xboole_0(k3_gate_1(k8_gate_1(A, C, D), B)))  =>  ( ~ (v1_xboole_0(k3_gate_1(A, B)))  &  ( ~ (v1_xboole_0(k3_gate_1(C, B)))  &  ~ (v1_xboole_0(k3_gate_1(D, B))) ) ) )  &  ~ ( ( ~ (v1_xboole_0(k3_gate_1(A, B)))  &  ( ~ ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(C)) )  &  ( ~ ( ( ~ (v1_xboole_0(C))  & v1_xboole_0(A)) )  & v1_xboole_0(k3_gate_1(C, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_gate_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  (! [J] :  (! [K] :  (! [L] :  (! [M] :  (! [N] :  (! [O] :  (! [P] :  (! [Q] :  (! [R] :  (! [S] :  (! [T] :  (! [U] :  (! [V] :  (! [W] :  ~ ( ( ~ ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(k8_gate_1(k1_gate_1(S), k1_gate_1(R), k1_gate_1(Q)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(k1_gate_1(S), k1_gate_1(R), k1_gate_1(Q))))  & v1_xboole_0(A)) )  &  ( ~ ( ( ~ (v1_xboole_0(B))  & v1_xboole_0(k8_gate_1(k1_gate_1(S), k1_gate_1(R), Q))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(k1_gate_1(S), k1_gate_1(R), Q)))  & v1_xboole_0(B)) )  &  ( ~ ( ( ~ (v1_xboole_0(C))  & v1_xboole_0(k8_gate_1(k1_gate_1(S), R, k1_gate_1(Q)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(k1_gate_1(S), R, k1_gate_1(Q))))  & v1_xboole_0(C)) )  &  ( ~ ( ( ~ (v1_xboole_0(D))  & v1_xboole_0(k8_gate_1(k1_gate_1(S), R, Q))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(k1_gate_1(S), R, Q)))  & v1_xboole_0(D)) )  &  ( ~ ( ( ~ (v1_xboole_0(E))  & v1_xboole_0(k8_gate_1(S, k1_gate_1(R), k1_gate_1(Q)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(S, k1_gate_1(R), k1_gate_1(Q))))  & v1_xboole_0(E)) )  &  ( ~ ( ( ~ (v1_xboole_0(F))  & v1_xboole_0(k8_gate_1(S, k1_gate_1(R), Q))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(S, k1_gate_1(R), Q)))  & v1_xboole_0(F)) )  &  ( ~ ( ( ~ (v1_xboole_0(G))  & v1_xboole_0(k8_gate_1(S, R, k1_gate_1(Q)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(S, R, k1_gate_1(Q))))  & v1_xboole_0(G)) )  &  ( ~ ( ( ~ (v1_xboole_0(H))  & v1_xboole_0(k8_gate_1(S, R, Q))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(S, R, Q)))  & v1_xboole_0(H)) )  &  ( ~ ( ( ~ (v1_xboole_0(I))  & v1_xboole_0(k8_gate_1(k1_gate_1(V), k1_gate_1(U), k1_gate_1(T)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(k1_gate_1(V), k1_gate_1(U), k1_gate_1(T))))  & v1_xboole_0(I)) )  &  ( ~ ( ( ~ (v1_xboole_0(J))  & v1_xboole_0(k8_gate_1(k1_gate_1(V), k1_gate_1(U), T))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(k1_gate_1(V), k1_gate_1(U), T)))  & v1_xboole_0(J)) )  &  ( ~ ( ( ~ (v1_xboole_0(K))  & v1_xboole_0(k8_gate_1(k1_gate_1(V), U, k1_gate_1(T)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(k1_gate_1(V), U, k1_gate_1(T))))  & v1_xboole_0(K)) )  &  ( ~ ( ( ~ (v1_xboole_0(L))  & v1_xboole_0(k8_gate_1(k1_gate_1(V), U, T))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(k1_gate_1(V), U, T)))  & v1_xboole_0(L)) )  &  ( ~ ( ( ~ (v1_xboole_0(M))  & v1_xboole_0(k8_gate_1(V, k1_gate_1(U), k1_gate_1(T)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(V, k1_gate_1(U), k1_gate_1(T))))  & v1_xboole_0(M)) )  &  ( ~ ( ( ~ (v1_xboole_0(N))  & v1_xboole_0(k8_gate_1(V, k1_gate_1(U), T))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(V, k1_gate_1(U), T)))  & v1_xboole_0(N)) )  &  ( ~ ( ( ~ (v1_xboole_0(O))  & v1_xboole_0(k8_gate_1(V, U, k1_gate_1(T)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(V, U, k1_gate_1(T))))  & v1_xboole_0(O)) )  &  ( ~ ( ( ~ (v1_xboole_0(P))  & v1_xboole_0(k8_gate_1(V, U, T))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(V, U, T)))  & v1_xboole_0(P)) )  &  ( ~ ( ( ~ (v1_xboole_0(T))  & v1_xboole_0(k2_gate_1(k1_gate_1(Q), W))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(k1_gate_1(Q), W)))  & v1_xboole_0(T)) )  &  ( ~ ( ( ~ (v1_xboole_0(U))  & v1_xboole_0(k2_gate_1(k4_gate_1(Q, R), W))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(k4_gate_1(Q, R), W)))  & v1_xboole_0(U)) )  &  ( ~ ( ( ~ (v1_xboole_0(V))  & v1_xboole_0(k2_gate_1(k3_gate_1(k2_gate_1(S, k1_gate_1(Q)), k2_gate_1(Q, k4_gate_1(R, S))), W))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(k3_gate_1(k2_gate_1(S, k1_gate_1(Q)), k2_gate_1(Q, k4_gate_1(R, S))), W)))  & v1_xboole_0(V)) )  &  ~ ( ( ~ ( ( ~ (v1_xboole_0(J))  & v1_xboole_0(k2_gate_1(A, W))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(A, W)))  & v1_xboole_0(J)) )  &  ( ~ ( ( ~ (v1_xboole_0(K))  & v1_xboole_0(k2_gate_1(B, W))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(B, W)))  & v1_xboole_0(K)) )  &  ( ~ ( ( ~ (v1_xboole_0(L))  & v1_xboole_0(k2_gate_1(C, W))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(C, W)))  & v1_xboole_0(L)) )  &  ( ~ ( ( ~ (v1_xboole_0(M))  & v1_xboole_0(k2_gate_1(D, W))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(D, W)))  & v1_xboole_0(M)) )  &  ( ~ ( ( ~ (v1_xboole_0(N))  & v1_xboole_0(k2_gate_1(E, W))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(E, W)))  & v1_xboole_0(N)) )  &  ( ~ ( ( ~ (v1_xboole_0(O))  & v1_xboole_0(k2_gate_1(F, W))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(F, W)))  & v1_xboole_0(O)) )  &  ( ~ ( ( ~ (v1_xboole_0(P))  & v1_xboole_0(k2_gate_1(G, W))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(G, W)))  & v1_xboole_0(P)) )  &  ( ~ ( ( ~ (v1_xboole_0(I))  & v1_xboole_0(k3_gate_1(H, k1_gate_1(W)))) )  &  ~ ( ( ~ (v1_xboole_0(k3_gate_1(H, k1_gate_1(W))))  & v1_xboole_0(I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_gate_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  (! [J] :  (! [K] :  (! [L] :  ~ ( ( ~ ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(k2_gate_1(k1_gate_1(J), k1_gate_1(I)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(k1_gate_1(J), k1_gate_1(I))))  & v1_xboole_0(A)) )  &  ( ~ ( ( ~ (v1_xboole_0(B))  & v1_xboole_0(k2_gate_1(k1_gate_1(J), I))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(k1_gate_1(J), I)))  & v1_xboole_0(B)) )  &  ( ~ ( ( ~ (v1_xboole_0(C))  & v1_xboole_0(k2_gate_1(J, k1_gate_1(I)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(J, k1_gate_1(I))))  & v1_xboole_0(C)) )  &  ( ~ ( ( ~ (v1_xboole_0(D))  & v1_xboole_0(k2_gate_1(J, I))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(J, I)))  & v1_xboole_0(D)) )  &  ( ~ ( ( ~ (v1_xboole_0(E))  & v1_xboole_0(k2_gate_1(k1_gate_1(L), k1_gate_1(K)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(k1_gate_1(L), k1_gate_1(K))))  & v1_xboole_0(E)) )  &  ( ~ ( ( ~ (v1_xboole_0(F))  & v1_xboole_0(k2_gate_1(k1_gate_1(L), K))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(k1_gate_1(L), K)))  & v1_xboole_0(F)) )  &  ( ~ ( ( ~ (v1_xboole_0(G))  & v1_xboole_0(k2_gate_1(L, k1_gate_1(K)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(L, k1_gate_1(K))))  & v1_xboole_0(G)) )  &  ( ~ ( ( ~ (v1_xboole_0(H))  & v1_xboole_0(k2_gate_1(L, K))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(L, K)))  & v1_xboole_0(H)) )  &  ( ~ ( ( ~ (v1_xboole_0(K))  & v1_xboole_0(k1_gate_1(J))) )  &  ( ~ ( ( ~ (v1_xboole_0(k1_gate_1(J)))  & v1_xboole_0(K)) )  &  ( ~ ( ( ~ (v1_xboole_0(L))  & v1_xboole_0(I)) )  &  ( ~ ( ( ~ (v1_xboole_0(I))  & v1_xboole_0(L)) )  &  ~ ( ( ~ ( ( ~ (v1_xboole_0(F))  & v1_xboole_0(A)) )  &  ( ~ ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(F)) )  &  ( ~ ( ( ~ (v1_xboole_0(H))  & v1_xboole_0(B)) )  &  ( ~ ( ( ~ (v1_xboole_0(B))  & v1_xboole_0(H)) )  &  ( ~ ( ( ~ (v1_xboole_0(G))  & v1_xboole_0(D)) )  &  ( ~ ( ( ~ (v1_xboole_0(D))  & v1_xboole_0(G)) )  &  ( ~ ( ( ~ (v1_xboole_0(E))  & v1_xboole_0(C)) )  &  ~ ( ( ~ (v1_xboole_0(C))  & v1_xboole_0(E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_gate_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  (! [J] :  (! [K] :  (! [L] :  (! [M] :  ~ ( ( ~ ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(k2_gate_1(k1_gate_1(J), k1_gate_1(I)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(k1_gate_1(J), k1_gate_1(I))))  & v1_xboole_0(A)) )  &  ( ~ ( ( ~ (v1_xboole_0(B))  & v1_xboole_0(k2_gate_1(k1_gate_1(J), I))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(k1_gate_1(J), I)))  & v1_xboole_0(B)) )  &  ( ~ ( ( ~ (v1_xboole_0(C))  & v1_xboole_0(k2_gate_1(J, k1_gate_1(I)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(J, k1_gate_1(I))))  & v1_xboole_0(C)) )  &  ( ~ ( ( ~ (v1_xboole_0(D))  & v1_xboole_0(k2_gate_1(J, I))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(J, I)))  & v1_xboole_0(D)) )  &  ( ~ ( ( ~ (v1_xboole_0(E))  & v1_xboole_0(k2_gate_1(k1_gate_1(L), k1_gate_1(K)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(k1_gate_1(L), k1_gate_1(K))))  & v1_xboole_0(E)) )  &  ( ~ ( ( ~ (v1_xboole_0(F))  & v1_xboole_0(k2_gate_1(k1_gate_1(L), K))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(k1_gate_1(L), K)))  & v1_xboole_0(F)) )  &  ( ~ ( ( ~ (v1_xboole_0(G))  & v1_xboole_0(k2_gate_1(L, k1_gate_1(K)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(L, k1_gate_1(K))))  & v1_xboole_0(G)) )  &  ( ~ ( ( ~ (v1_xboole_0(H))  & v1_xboole_0(k2_gate_1(L, K))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(L, K)))  & v1_xboole_0(H)) )  &  ( ~ ( ( ~ (v1_xboole_0(K))  & v1_xboole_0(k2_gate_1(k1_gate_1(J), M))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(k1_gate_1(J), M)))  & v1_xboole_0(K)) )  &  ( ~ ( ( ~ (v1_xboole_0(L))  & v1_xboole_0(k2_gate_1(I, M))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(I, M)))  & v1_xboole_0(L)) )  &  ~ ( ( ~ ( ( ~ (v1_xboole_0(F))  & v1_xboole_0(k2_gate_1(A, M))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(A, M)))  & v1_xboole_0(F)) )  &  ( ~ ( ( ~ (v1_xboole_0(H))  & v1_xboole_0(k2_gate_1(B, M))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(B, M)))  & v1_xboole_0(H)) )  &  ( ~ ( ( ~ (v1_xboole_0(G))  & v1_xboole_0(k2_gate_1(D, M))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(D, M)))  & v1_xboole_0(G)) )  &  ( ~ ( ( ~ (v1_xboole_0(E))  & v1_xboole_0(k3_gate_1(k2_gate_1(C, M), k1_gate_1(M)))) )  &  ~ ( ( ~ (v1_xboole_0(k3_gate_1(k2_gate_1(C, M), k1_gate_1(M))))  & v1_xboole_0(E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_gate_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  (! [J] :  (! [K] :  (! [L] :  (! [M] :  (! [N] :  (! [O] :  (! [P] :  (! [Q] :  (! [R] :  (! [S] :  (! [T] :  (! [U] :  (! [V] :  ~ ( ( ~ ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(k8_gate_1(k1_gate_1(S), k1_gate_1(R), k1_gate_1(Q)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(k1_gate_1(S), k1_gate_1(R), k1_gate_1(Q))))  & v1_xboole_0(A)) )  &  ( ~ ( ( ~ (v1_xboole_0(B))  & v1_xboole_0(k8_gate_1(k1_gate_1(S), k1_gate_1(R), Q))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(k1_gate_1(S), k1_gate_1(R), Q)))  & v1_xboole_0(B)) )  &  ( ~ ( ( ~ (v1_xboole_0(C))  & v1_xboole_0(k8_gate_1(k1_gate_1(S), R, k1_gate_1(Q)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(k1_gate_1(S), R, k1_gate_1(Q))))  & v1_xboole_0(C)) )  &  ( ~ ( ( ~ (v1_xboole_0(D))  & v1_xboole_0(k8_gate_1(k1_gate_1(S), R, Q))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(k1_gate_1(S), R, Q)))  & v1_xboole_0(D)) )  &  ( ~ ( ( ~ (v1_xboole_0(E))  & v1_xboole_0(k8_gate_1(S, k1_gate_1(R), k1_gate_1(Q)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(S, k1_gate_1(R), k1_gate_1(Q))))  & v1_xboole_0(E)) )  &  ( ~ ( ( ~ (v1_xboole_0(F))  & v1_xboole_0(k8_gate_1(S, k1_gate_1(R), Q))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(S, k1_gate_1(R), Q)))  & v1_xboole_0(F)) )  &  ( ~ ( ( ~ (v1_xboole_0(G))  & v1_xboole_0(k8_gate_1(S, R, k1_gate_1(Q)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(S, R, k1_gate_1(Q))))  & v1_xboole_0(G)) )  &  ( ~ ( ( ~ (v1_xboole_0(H))  & v1_xboole_0(k8_gate_1(S, R, Q))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(S, R, Q)))  & v1_xboole_0(H)) )  &  ( ~ ( ( ~ (v1_xboole_0(I))  & v1_xboole_0(k8_gate_1(k1_gate_1(V), k1_gate_1(U), k1_gate_1(T)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(k1_gate_1(V), k1_gate_1(U), k1_gate_1(T))))  & v1_xboole_0(I)) )  &  ( ~ ( ( ~ (v1_xboole_0(J))  & v1_xboole_0(k8_gate_1(k1_gate_1(V), k1_gate_1(U), T))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(k1_gate_1(V), k1_gate_1(U), T)))  & v1_xboole_0(J)) )  &  ( ~ ( ( ~ (v1_xboole_0(K))  & v1_xboole_0(k8_gate_1(k1_gate_1(V), U, k1_gate_1(T)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(k1_gate_1(V), U, k1_gate_1(T))))  & v1_xboole_0(K)) )  &  ( ~ ( ( ~ (v1_xboole_0(L))  & v1_xboole_0(k8_gate_1(k1_gate_1(V), U, T))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(k1_gate_1(V), U, T)))  & v1_xboole_0(L)) )  &  ( ~ ( ( ~ (v1_xboole_0(M))  & v1_xboole_0(k8_gate_1(V, k1_gate_1(U), k1_gate_1(T)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(V, k1_gate_1(U), k1_gate_1(T))))  & v1_xboole_0(M)) )  &  ( ~ ( ( ~ (v1_xboole_0(N))  & v1_xboole_0(k8_gate_1(V, k1_gate_1(U), T))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(V, k1_gate_1(U), T)))  & v1_xboole_0(N)) )  &  ( ~ ( ( ~ (v1_xboole_0(O))  & v1_xboole_0(k8_gate_1(V, U, k1_gate_1(T)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(V, U, k1_gate_1(T))))  & v1_xboole_0(O)) )  &  ( ~ ( ( ~ (v1_xboole_0(P))  & v1_xboole_0(k8_gate_1(V, U, T))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(V, U, T)))  & v1_xboole_0(P)) )  &  ( ~ ( ( ~ (v1_xboole_0(T))  & v1_xboole_0(k1_gate_1(S))) )  &  ( ~ ( ( ~ (v1_xboole_0(k1_gate_1(S)))  & v1_xboole_0(T)) )  &  ( ~ ( ( ~ (v1_xboole_0(U))  & v1_xboole_0(Q)) )  &  ( ~ ( ( ~ (v1_xboole_0(Q))  & v1_xboole_0(U)) )  &  ( ~ ( ( ~ (v1_xboole_0(V))  & v1_xboole_0(R)) )  &  ( ~ ( ( ~ (v1_xboole_0(R))  & v1_xboole_0(V)) )  &  ~ ( ( ~ ( ( ~ (v1_xboole_0(J))  & v1_xboole_0(A)) )  &  ( ~ ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(J)) )  &  ( ~ ( ( ~ (v1_xboole_0(L))  & v1_xboole_0(B)) )  &  ( ~ ( ( ~ (v1_xboole_0(B))  & v1_xboole_0(L)) )  &  ( ~ ( ( ~ (v1_xboole_0(P))  & v1_xboole_0(D)) )  &  ( ~ ( ( ~ (v1_xboole_0(D))  & v1_xboole_0(P)) )  &  ( ~ ( ( ~ (v1_xboole_0(O))  & v1_xboole_0(H)) )  &  ( ~ ( ( ~ (v1_xboole_0(H))  & v1_xboole_0(O)) )  &  ( ~ ( ( ~ (v1_xboole_0(M))  & v1_xboole_0(G)) )  &  ( ~ ( ( ~ (v1_xboole_0(G))  & v1_xboole_0(M)) )  &  ( ~ ( ( ~ (v1_xboole_0(I))  & v1_xboole_0(E)) )  &  ( ~ ( ( ~ (v1_xboole_0(E))  & v1_xboole_0(I)) )  &  ( ~ ( ( ~ (v1_xboole_0(K))  & v1_xboole_0(F)) )  &  ( ~ ( ( ~ (v1_xboole_0(F))  & v1_xboole_0(K)) )  &  ( ~ ( ( ~ (v1_xboole_0(N))  & v1_xboole_0(C)) )  &  ~ ( ( ~ (v1_xboole_0(C))  & v1_xboole_0(N)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_gate_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  (! [J] :  (! [K] :  (! [L] :  (! [M] :  (! [N] :  (! [O] :  (! [P] :  (! [Q] :  (! [R] :  (! [S] :  (! [T] :  (! [U] :  (! [V] :  (! [W] :  ~ ( ( ~ ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(k8_gate_1(k1_gate_1(S), k1_gate_1(R), k1_gate_1(Q)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(k1_gate_1(S), k1_gate_1(R), k1_gate_1(Q))))  & v1_xboole_0(A)) )  &  ( ~ ( ( ~ (v1_xboole_0(B))  & v1_xboole_0(k8_gate_1(k1_gate_1(S), k1_gate_1(R), Q))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(k1_gate_1(S), k1_gate_1(R), Q)))  & v1_xboole_0(B)) )  &  ( ~ ( ( ~ (v1_xboole_0(C))  & v1_xboole_0(k8_gate_1(k1_gate_1(S), R, k1_gate_1(Q)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(k1_gate_1(S), R, k1_gate_1(Q))))  & v1_xboole_0(C)) )  &  ( ~ ( ( ~ (v1_xboole_0(D))  & v1_xboole_0(k8_gate_1(k1_gate_1(S), R, Q))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(k1_gate_1(S), R, Q)))  & v1_xboole_0(D)) )  &  ( ~ ( ( ~ (v1_xboole_0(E))  & v1_xboole_0(k8_gate_1(S, k1_gate_1(R), k1_gate_1(Q)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(S, k1_gate_1(R), k1_gate_1(Q))))  & v1_xboole_0(E)) )  &  ( ~ ( ( ~ (v1_xboole_0(F))  & v1_xboole_0(k8_gate_1(S, k1_gate_1(R), Q))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(S, k1_gate_1(R), Q)))  & v1_xboole_0(F)) )  &  ( ~ ( ( ~ (v1_xboole_0(G))  & v1_xboole_0(k8_gate_1(S, R, k1_gate_1(Q)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(S, R, k1_gate_1(Q))))  & v1_xboole_0(G)) )  &  ( ~ ( ( ~ (v1_xboole_0(H))  & v1_xboole_0(k8_gate_1(S, R, Q))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(S, R, Q)))  & v1_xboole_0(H)) )  &  ( ~ ( ( ~ (v1_xboole_0(I))  & v1_xboole_0(k8_gate_1(k1_gate_1(V), k1_gate_1(U), k1_gate_1(T)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(k1_gate_1(V), k1_gate_1(U), k1_gate_1(T))))  & v1_xboole_0(I)) )  &  ( ~ ( ( ~ (v1_xboole_0(J))  & v1_xboole_0(k8_gate_1(k1_gate_1(V), k1_gate_1(U), T))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(k1_gate_1(V), k1_gate_1(U), T)))  & v1_xboole_0(J)) )  &  ( ~ ( ( ~ (v1_xboole_0(K))  & v1_xboole_0(k8_gate_1(k1_gate_1(V), U, k1_gate_1(T)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(k1_gate_1(V), U, k1_gate_1(T))))  & v1_xboole_0(K)) )  &  ( ~ ( ( ~ (v1_xboole_0(L))  & v1_xboole_0(k8_gate_1(k1_gate_1(V), U, T))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(k1_gate_1(V), U, T)))  & v1_xboole_0(L)) )  &  ( ~ ( ( ~ (v1_xboole_0(M))  & v1_xboole_0(k8_gate_1(V, k1_gate_1(U), k1_gate_1(T)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(V, k1_gate_1(U), k1_gate_1(T))))  & v1_xboole_0(M)) )  &  ( ~ ( ( ~ (v1_xboole_0(N))  & v1_xboole_0(k8_gate_1(V, k1_gate_1(U), T))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(V, k1_gate_1(U), T)))  & v1_xboole_0(N)) )  &  ( ~ ( ( ~ (v1_xboole_0(O))  & v1_xboole_0(k8_gate_1(V, U, k1_gate_1(T)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(V, U, k1_gate_1(T))))  & v1_xboole_0(O)) )  &  ( ~ ( ( ~ (v1_xboole_0(P))  & v1_xboole_0(k8_gate_1(V, U, T))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(V, U, T)))  & v1_xboole_0(P)) )  &  ( ~ ( ( ~ (v1_xboole_0(T))  & v1_xboole_0(k2_gate_1(k1_gate_1(S), W))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(k1_gate_1(S), W)))  & v1_xboole_0(T)) )  &  ( ~ ( ( ~ (v1_xboole_0(U))  & v1_xboole_0(k2_gate_1(Q, W))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(Q, W)))  & v1_xboole_0(U)) )  &  ( ~ ( ( ~ (v1_xboole_0(V))  & v1_xboole_0(k2_gate_1(R, W))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(R, W)))  & v1_xboole_0(V)) )  &  ~ ( ( ~ ( ( ~ (v1_xboole_0(J))  & v1_xboole_0(k2_gate_1(A, W))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(A, W)))  & v1_xboole_0(J)) )  &  ( ~ ( ( ~ (v1_xboole_0(L))  & v1_xboole_0(k2_gate_1(B, W))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(B, W)))  & v1_xboole_0(L)) )  &  ( ~ ( ( ~ (v1_xboole_0(P))  & v1_xboole_0(k2_gate_1(D, W))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(D, W)))  & v1_xboole_0(P)) )  &  ( ~ ( ( ~ (v1_xboole_0(O))  & v1_xboole_0(k2_gate_1(H, W))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(H, W)))  & v1_xboole_0(O)) )  &  ( ~ ( ( ~ (v1_xboole_0(M))  & v1_xboole_0(k2_gate_1(G, W))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(G, W)))  & v1_xboole_0(M)) )  &  ( ~ ( ( ~ (v1_xboole_0(I))  & v1_xboole_0(k3_gate_1(k2_gate_1(E, W), k1_gate_1(W)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k3_gate_1(k2_gate_1(E, W), k1_gate_1(W))))  & v1_xboole_0(I)) )  &  ( ~ ( ( ~ (v1_xboole_0(K))  & v1_xboole_0(k2_gate_1(F, W))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(F, W)))  & v1_xboole_0(K)) )  &  ( ~ ( ( ~ (v1_xboole_0(N))  & v1_xboole_0(k2_gate_1(C, W))) )  &  ~ ( ( ~ (v1_xboole_0(k2_gate_1(C, W)))  & v1_xboole_0(N)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_gate_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  (! [J] :  (! [K] :  (! [L] :  (! [M] :  (! [N] :  (! [O] :  (! [P] :  (! [Q] :  (! [R] :  (! [S] :  (! [T] :  (! [U] :  (! [V] :  (! [W] :  (! [X] :  (! [Y] :  (! [Z] :  (! [A1] :  (! [B1] :  (! [C1] :  (! [D1] :  (! [E1] :  (! [F1] :  (! [G1] :  (! [H1] :  (! [I1] :  (! [J1] :  (! [K1] :  (! [L1] :  (! [M1] :  (! [N1] :  ~ ( ( ~ ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(k14_gate_1(k1_gate_1(J1), k1_gate_1(I1), k1_gate_1(H1), k1_gate_1(G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(J1), k1_gate_1(I1), k1_gate_1(H1), k1_gate_1(G1))))  & v1_xboole_0(A)) )  &  ( ~ ( ( ~ (v1_xboole_0(B))  & v1_xboole_0(k14_gate_1(k1_gate_1(J1), k1_gate_1(I1), k1_gate_1(H1), G1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(J1), k1_gate_1(I1), k1_gate_1(H1), G1)))  & v1_xboole_0(B)) )  &  ( ~ ( ( ~ (v1_xboole_0(C))  & v1_xboole_0(k14_gate_1(k1_gate_1(J1), k1_gate_1(I1), H1, k1_gate_1(G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(J1), k1_gate_1(I1), H1, k1_gate_1(G1))))  & v1_xboole_0(C)) )  &  ( ~ ( ( ~ (v1_xboole_0(D))  & v1_xboole_0(k14_gate_1(k1_gate_1(J1), k1_gate_1(I1), H1, G1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(J1), k1_gate_1(I1), H1, G1)))  & v1_xboole_0(D)) )  &  ( ~ ( ( ~ (v1_xboole_0(E))  & v1_xboole_0(k14_gate_1(k1_gate_1(J1), I1, k1_gate_1(H1), k1_gate_1(G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(J1), I1, k1_gate_1(H1), k1_gate_1(G1))))  & v1_xboole_0(E)) )  &  ( ~ ( ( ~ (v1_xboole_0(F))  & v1_xboole_0(k14_gate_1(k1_gate_1(J1), I1, k1_gate_1(H1), G1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(J1), I1, k1_gate_1(H1), G1)))  & v1_xboole_0(F)) )  &  ( ~ ( ( ~ (v1_xboole_0(G))  & v1_xboole_0(k14_gate_1(k1_gate_1(J1), I1, H1, k1_gate_1(G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(J1), I1, H1, k1_gate_1(G1))))  & v1_xboole_0(G)) )  &  ( ~ ( ( ~ (v1_xboole_0(H))  & v1_xboole_0(k14_gate_1(k1_gate_1(J1), I1, H1, G1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(J1), I1, H1, G1)))  & v1_xboole_0(H)) )  &  ( ~ ( ( ~ (v1_xboole_0(I))  & v1_xboole_0(k14_gate_1(J1, k1_gate_1(I1), k1_gate_1(H1), k1_gate_1(G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(J1, k1_gate_1(I1), k1_gate_1(H1), k1_gate_1(G1))))  & v1_xboole_0(I)) )  &  ( ~ ( ( ~ (v1_xboole_0(J))  & v1_xboole_0(k14_gate_1(J1, k1_gate_1(I1), k1_gate_1(H1), G1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(J1, k1_gate_1(I1), k1_gate_1(H1), G1)))  & v1_xboole_0(J)) )  &  ( ~ ( ( ~ (v1_xboole_0(K))  & v1_xboole_0(k14_gate_1(J1, k1_gate_1(I1), H1, k1_gate_1(G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(J1, k1_gate_1(I1), H1, k1_gate_1(G1))))  & v1_xboole_0(K)) )  &  ( ~ ( ( ~ (v1_xboole_0(L))  & v1_xboole_0(k14_gate_1(J1, k1_gate_1(I1), H1, G1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(J1, k1_gate_1(I1), H1, G1)))  & v1_xboole_0(L)) )  &  ( ~ ( ( ~ (v1_xboole_0(M))  & v1_xboole_0(k14_gate_1(J1, I1, k1_gate_1(H1), k1_gate_1(G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(J1, I1, k1_gate_1(H1), k1_gate_1(G1))))  & v1_xboole_0(M)) )  &  ( ~ ( ( ~ (v1_xboole_0(N))  & v1_xboole_0(k14_gate_1(J1, I1, k1_gate_1(H1), G1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(J1, I1, k1_gate_1(H1), G1)))  & v1_xboole_0(N)) )  &  ( ~ ( ( ~ (v1_xboole_0(O))  & v1_xboole_0(k14_gate_1(J1, I1, H1, k1_gate_1(G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(J1, I1, H1, k1_gate_1(G1))))  & v1_xboole_0(O)) )  &  ( ~ ( ( ~ (v1_xboole_0(P))  & v1_xboole_0(k14_gate_1(J1, I1, H1, G1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(J1, I1, H1, G1)))  & v1_xboole_0(P)) )  &  ( ~ ( ( ~ (v1_xboole_0(Q))  & v1_xboole_0(k14_gate_1(k1_gate_1(N1), k1_gate_1(M1), k1_gate_1(L1), k1_gate_1(K1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(N1), k1_gate_1(M1), k1_gate_1(L1), k1_gate_1(K1))))  & v1_xboole_0(Q)) )  &  ( ~ ( ( ~ (v1_xboole_0(R))  & v1_xboole_0(k14_gate_1(k1_gate_1(N1), k1_gate_1(M1), k1_gate_1(L1), K1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(N1), k1_gate_1(M1), k1_gate_1(L1), K1)))  & v1_xboole_0(R)) )  &  ( ~ ( ( ~ (v1_xboole_0(S))  & v1_xboole_0(k14_gate_1(k1_gate_1(N1), k1_gate_1(M1), L1, k1_gate_1(K1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(N1), k1_gate_1(M1), L1, k1_gate_1(K1))))  & v1_xboole_0(S)) )  &  ( ~ ( ( ~ (v1_xboole_0(T))  & v1_xboole_0(k14_gate_1(k1_gate_1(N1), k1_gate_1(M1), L1, K1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(N1), k1_gate_1(M1), L1, K1)))  & v1_xboole_0(T)) )  &  ( ~ ( ( ~ (v1_xboole_0(U))  & v1_xboole_0(k14_gate_1(k1_gate_1(N1), M1, k1_gate_1(L1), k1_gate_1(K1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(N1), M1, k1_gate_1(L1), k1_gate_1(K1))))  & v1_xboole_0(U)) )  &  ( ~ ( ( ~ (v1_xboole_0(V))  & v1_xboole_0(k14_gate_1(k1_gate_1(N1), M1, k1_gate_1(L1), K1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(N1), M1, k1_gate_1(L1), K1)))  & v1_xboole_0(V)) )  &  ( ~ ( ( ~ (v1_xboole_0(W))  & v1_xboole_0(k14_gate_1(k1_gate_1(N1), M1, L1, k1_gate_1(K1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(N1), M1, L1, k1_gate_1(K1))))  & v1_xboole_0(W)) )  &  ( ~ ( ( ~ (v1_xboole_0(X))  & v1_xboole_0(k14_gate_1(k1_gate_1(N1), M1, L1, K1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(N1), M1, L1, K1)))  & v1_xboole_0(X)) )  &  ( ~ ( ( ~ (v1_xboole_0(Y))  & v1_xboole_0(k14_gate_1(N1, k1_gate_1(M1), k1_gate_1(L1), k1_gate_1(K1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(N1, k1_gate_1(M1), k1_gate_1(L1), k1_gate_1(K1))))  & v1_xboole_0(Y)) )  &  ( ~ ( ( ~ (v1_xboole_0(Z))  & v1_xboole_0(k14_gate_1(N1, k1_gate_1(M1), k1_gate_1(L1), K1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(N1, k1_gate_1(M1), k1_gate_1(L1), K1)))  & v1_xboole_0(Z)) )  &  ( ~ ( ( ~ (v1_xboole_0(A1))  & v1_xboole_0(k14_gate_1(N1, k1_gate_1(M1), L1, k1_gate_1(K1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(N1, k1_gate_1(M1), L1, k1_gate_1(K1))))  & v1_xboole_0(A1)) )  &  ( ~ ( ( ~ (v1_xboole_0(B1))  & v1_xboole_0(k14_gate_1(N1, k1_gate_1(M1), L1, K1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(N1, k1_gate_1(M1), L1, K1)))  & v1_xboole_0(B1)) )  &  ( ~ ( ( ~ (v1_xboole_0(C1))  & v1_xboole_0(k14_gate_1(N1, M1, k1_gate_1(L1), k1_gate_1(K1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(N1, M1, k1_gate_1(L1), k1_gate_1(K1))))  & v1_xboole_0(C1)) )  &  ( ~ ( ( ~ (v1_xboole_0(D1))  & v1_xboole_0(k14_gate_1(N1, M1, k1_gate_1(L1), K1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(N1, M1, k1_gate_1(L1), K1)))  & v1_xboole_0(D1)) )  &  ( ~ ( ( ~ (v1_xboole_0(E1))  & v1_xboole_0(k14_gate_1(N1, M1, L1, k1_gate_1(K1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(N1, M1, L1, k1_gate_1(K1))))  & v1_xboole_0(E1)) )  &  ( ~ ( ( ~ (v1_xboole_0(F1))  & v1_xboole_0(k14_gate_1(N1, M1, L1, K1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(N1, M1, L1, K1)))  & v1_xboole_0(F1)) )  &  ( ~ ( ( ~ (v1_xboole_0(K1))  & v1_xboole_0(k1_gate_1(J1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k1_gate_1(J1)))  & v1_xboole_0(K1)) )  &  ( ~ ( ( ~ (v1_xboole_0(L1))  & v1_xboole_0(G1)) )  &  ( ~ ( ( ~ (v1_xboole_0(G1))  & v1_xboole_0(L1)) )  &  ( ~ ( ( ~ (v1_xboole_0(M1))  & v1_xboole_0(H1)) )  &  ( ~ ( ( ~ (v1_xboole_0(H1))  & v1_xboole_0(M1)) )  &  ( ~ ( ( ~ (v1_xboole_0(N1))  & v1_xboole_0(I1)) )  &  ( ~ ( ( ~ (v1_xboole_0(I1))  & v1_xboole_0(N1)) )  &  ~ ( ( ~ ( ( ~ (v1_xboole_0(R))  & v1_xboole_0(A)) )  &  ( ~ ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(R)) )  &  ( ~ ( ( ~ (v1_xboole_0(T))  & v1_xboole_0(B)) )  &  ( ~ ( ( ~ (v1_xboole_0(B))  & v1_xboole_0(T)) )  &  ( ~ ( ( ~ (v1_xboole_0(X))  & v1_xboole_0(D)) )  &  ( ~ ( ( ~ (v1_xboole_0(D))  & v1_xboole_0(X)) )  &  ( ~ ( ( ~ (v1_xboole_0(F1))  & v1_xboole_0(H)) )  &  ( ~ ( ( ~ (v1_xboole_0(H))  & v1_xboole_0(F1)) )  &  ( ~ ( ( ~ (v1_xboole_0(E1))  & v1_xboole_0(P)) )  &  ( ~ ( ( ~ (v1_xboole_0(P))  & v1_xboole_0(E1)) )  &  ( ~ ( ( ~ (v1_xboole_0(C1))  & v1_xboole_0(O)) )  &  ( ~ ( ( ~ (v1_xboole_0(O))  & v1_xboole_0(C1)) )  &  ( ~ ( ( ~ (v1_xboole_0(Y))  & v1_xboole_0(M)) )  &  ( ~ ( ( ~ (v1_xboole_0(M))  & v1_xboole_0(Y)) )  &  ( ~ ( ( ~ (v1_xboole_0(Q))  & v1_xboole_0(I)) )  &  ( ~ ( ( ~ (v1_xboole_0(I))  & v1_xboole_0(Q)) )  &  ( ~ ( ( ~ (v1_xboole_0(V))  & v1_xboole_0(C)) )  &  ( ~ ( ( ~ (v1_xboole_0(C))  & v1_xboole_0(V)) )  &  ( ~ ( ( ~ (v1_xboole_0(B1))  & v1_xboole_0(F)) )  &  ( ~ ( ( ~ (v1_xboole_0(F))  & v1_xboole_0(B1)) )  &  ( ~ ( ( ~ (v1_xboole_0(W))  & v1_xboole_0(L)) )  &  ( ~ ( ( ~ (v1_xboole_0(L))  & v1_xboole_0(W)) )  &  ( ~ ( ( ~ (v1_xboole_0(D1))  & v1_xboole_0(G)) )  &  ( ~ ( ( ~ (v1_xboole_0(G))  & v1_xboole_0(D1)) )  &  ( ~ ( ( ~ (v1_xboole_0(A1))  & v1_xboole_0(N)) )  &  ( ~ ( ( ~ (v1_xboole_0(N))  & v1_xboole_0(A1)) )  &  ( ~ ( ( ~ (v1_xboole_0(U))  & v1_xboole_0(K)) )  &  ( ~ ( ( ~ (v1_xboole_0(K))  & v1_xboole_0(U)) )  &  ( ~ ( ( ~ (v1_xboole_0(Z))  & v1_xboole_0(E)) )  &  ( ~ ( ( ~ (v1_xboole_0(E))  & v1_xboole_0(Z)) )  &  ( ~ ( ( ~ (v1_xboole_0(S))  & v1_xboole_0(J)) )  &  ~ ( ( ~ (v1_xboole_0(J))  & v1_xboole_0(S)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_gate_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  (! [J] :  (! [K] :  (! [L] :  (! [M] :  (! [N] :  (! [O] :  (! [P] :  (! [Q] :  (! [R] :  (! [S] :  (! [T] :  (! [U] :  (! [V] :  (! [W] :  (! [X] :  (! [Y] :  (! [Z] :  (! [A1] :  (! [B1] :  (! [C1] :  (! [D1] :  (! [E1] :  (! [F1] :  (! [G1] :  (! [H1] :  (! [I1] :  (! [J1] :  (! [K1] :  (! [L1] :  (! [M1] :  (! [N1] :  (! [O1] :  ~ ( ( ~ ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(k14_gate_1(k1_gate_1(J1), k1_gate_1(I1), k1_gate_1(H1), k1_gate_1(G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(J1), k1_gate_1(I1), k1_gate_1(H1), k1_gate_1(G1))))  & v1_xboole_0(A)) )  &  ( ~ ( ( ~ (v1_xboole_0(B))  & v1_xboole_0(k14_gate_1(k1_gate_1(J1), k1_gate_1(I1), k1_gate_1(H1), G1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(J1), k1_gate_1(I1), k1_gate_1(H1), G1)))  & v1_xboole_0(B)) )  &  ( ~ ( ( ~ (v1_xboole_0(C))  & v1_xboole_0(k14_gate_1(k1_gate_1(J1), k1_gate_1(I1), H1, k1_gate_1(G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(J1), k1_gate_1(I1), H1, k1_gate_1(G1))))  & v1_xboole_0(C)) )  &  ( ~ ( ( ~ (v1_xboole_0(D))  & v1_xboole_0(k14_gate_1(k1_gate_1(J1), k1_gate_1(I1), H1, G1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(J1), k1_gate_1(I1), H1, G1)))  & v1_xboole_0(D)) )  &  ( ~ ( ( ~ (v1_xboole_0(E))  & v1_xboole_0(k14_gate_1(k1_gate_1(J1), I1, k1_gate_1(H1), k1_gate_1(G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(J1), I1, k1_gate_1(H1), k1_gate_1(G1))))  & v1_xboole_0(E)) )  &  ( ~ ( ( ~ (v1_xboole_0(F))  & v1_xboole_0(k14_gate_1(k1_gate_1(J1), I1, k1_gate_1(H1), G1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(J1), I1, k1_gate_1(H1), G1)))  & v1_xboole_0(F)) )  &  ( ~ ( ( ~ (v1_xboole_0(G))  & v1_xboole_0(k14_gate_1(k1_gate_1(J1), I1, H1, k1_gate_1(G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(J1), I1, H1, k1_gate_1(G1))))  & v1_xboole_0(G)) )  &  ( ~ ( ( ~ (v1_xboole_0(H))  & v1_xboole_0(k14_gate_1(k1_gate_1(J1), I1, H1, G1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(J1), I1, H1, G1)))  & v1_xboole_0(H)) )  &  ( ~ ( ( ~ (v1_xboole_0(I))  & v1_xboole_0(k14_gate_1(J1, k1_gate_1(I1), k1_gate_1(H1), k1_gate_1(G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(J1, k1_gate_1(I1), k1_gate_1(H1), k1_gate_1(G1))))  & v1_xboole_0(I)) )  &  ( ~ ( ( ~ (v1_xboole_0(J))  & v1_xboole_0(k14_gate_1(J1, k1_gate_1(I1), k1_gate_1(H1), G1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(J1, k1_gate_1(I1), k1_gate_1(H1), G1)))  & v1_xboole_0(J)) )  &  ( ~ ( ( ~ (v1_xboole_0(K))  & v1_xboole_0(k14_gate_1(J1, k1_gate_1(I1), H1, k1_gate_1(G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(J1, k1_gate_1(I1), H1, k1_gate_1(G1))))  & v1_xboole_0(K)) )  &  ( ~ ( ( ~ (v1_xboole_0(L))  & v1_xboole_0(k14_gate_1(J1, k1_gate_1(I1), H1, G1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(J1, k1_gate_1(I1), H1, G1)))  & v1_xboole_0(L)) )  &  ( ~ ( ( ~ (v1_xboole_0(M))  & v1_xboole_0(k14_gate_1(J1, I1, k1_gate_1(H1), k1_gate_1(G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(J1, I1, k1_gate_1(H1), k1_gate_1(G1))))  & v1_xboole_0(M)) )  &  ( ~ ( ( ~ (v1_xboole_0(N))  & v1_xboole_0(k14_gate_1(J1, I1, k1_gate_1(H1), G1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(J1, I1, k1_gate_1(H1), G1)))  & v1_xboole_0(N)) )  &  ( ~ ( ( ~ (v1_xboole_0(O))  & v1_xboole_0(k14_gate_1(J1, I1, H1, k1_gate_1(G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(J1, I1, H1, k1_gate_1(G1))))  & v1_xboole_0(O)) )  &  ( ~ ( ( ~ (v1_xboole_0(P))  & v1_xboole_0(k14_gate_1(J1, I1, H1, G1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(J1, I1, H1, G1)))  & v1_xboole_0(P)) )  &  ( ~ ( ( ~ (v1_xboole_0(Q))  & v1_xboole_0(k14_gate_1(k1_gate_1(N1), k1_gate_1(M1), k1_gate_1(L1), k1_gate_1(K1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(N1), k1_gate_1(M1), k1_gate_1(L1), k1_gate_1(K1))))  & v1_xboole_0(Q)) )  &  ( ~ ( ( ~ (v1_xboole_0(R))  & v1_xboole_0(k14_gate_1(k1_gate_1(N1), k1_gate_1(M1), k1_gate_1(L1), K1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(N1), k1_gate_1(M1), k1_gate_1(L1), K1)))  & v1_xboole_0(R)) )  &  ( ~ ( ( ~ (v1_xboole_0(S))  & v1_xboole_0(k14_gate_1(k1_gate_1(N1), k1_gate_1(M1), L1, k1_gate_1(K1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(N1), k1_gate_1(M1), L1, k1_gate_1(K1))))  & v1_xboole_0(S)) )  &  ( ~ ( ( ~ (v1_xboole_0(T))  & v1_xboole_0(k14_gate_1(k1_gate_1(N1), k1_gate_1(M1), L1, K1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(N1), k1_gate_1(M1), L1, K1)))  & v1_xboole_0(T)) )  &  ( ~ ( ( ~ (v1_xboole_0(U))  & v1_xboole_0(k14_gate_1(k1_gate_1(N1), M1, k1_gate_1(L1), k1_gate_1(K1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(N1), M1, k1_gate_1(L1), k1_gate_1(K1))))  & v1_xboole_0(U)) )  &  ( ~ ( ( ~ (v1_xboole_0(V))  & v1_xboole_0(k14_gate_1(k1_gate_1(N1), M1, k1_gate_1(L1), K1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(N1), M1, k1_gate_1(L1), K1)))  & v1_xboole_0(V)) )  &  ( ~ ( ( ~ (v1_xboole_0(W))  & v1_xboole_0(k14_gate_1(k1_gate_1(N1), M1, L1, k1_gate_1(K1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(N1), M1, L1, k1_gate_1(K1))))  & v1_xboole_0(W)) )  &  ( ~ ( ( ~ (v1_xboole_0(X))  & v1_xboole_0(k14_gate_1(k1_gate_1(N1), M1, L1, K1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(N1), M1, L1, K1)))  & v1_xboole_0(X)) )  &  ( ~ ( ( ~ (v1_xboole_0(Y))  & v1_xboole_0(k14_gate_1(N1, k1_gate_1(M1), k1_gate_1(L1), k1_gate_1(K1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(N1, k1_gate_1(M1), k1_gate_1(L1), k1_gate_1(K1))))  & v1_xboole_0(Y)) )  &  ( ~ ( ( ~ (v1_xboole_0(Z))  & v1_xboole_0(k14_gate_1(N1, k1_gate_1(M1), k1_gate_1(L1), K1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(N1, k1_gate_1(M1), k1_gate_1(L1), K1)))  & v1_xboole_0(Z)) )  &  ( ~ ( ( ~ (v1_xboole_0(A1))  & v1_xboole_0(k14_gate_1(N1, k1_gate_1(M1), L1, k1_gate_1(K1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(N1, k1_gate_1(M1), L1, k1_gate_1(K1))))  & v1_xboole_0(A1)) )  &  ( ~ ( ( ~ (v1_xboole_0(B1))  & v1_xboole_0(k14_gate_1(N1, k1_gate_1(M1), L1, K1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(N1, k1_gate_1(M1), L1, K1)))  & v1_xboole_0(B1)) )  &  ( ~ ( ( ~ (v1_xboole_0(C1))  & v1_xboole_0(k14_gate_1(N1, M1, k1_gate_1(L1), k1_gate_1(K1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(N1, M1, k1_gate_1(L1), k1_gate_1(K1))))  & v1_xboole_0(C1)) )  &  ( ~ ( ( ~ (v1_xboole_0(D1))  & v1_xboole_0(k14_gate_1(N1, M1, k1_gate_1(L1), K1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(N1, M1, k1_gate_1(L1), K1)))  & v1_xboole_0(D1)) )  &  ( ~ ( ( ~ (v1_xboole_0(E1))  & v1_xboole_0(k14_gate_1(N1, M1, L1, k1_gate_1(K1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(N1, M1, L1, k1_gate_1(K1))))  & v1_xboole_0(E1)) )  &  ( ~ ( ( ~ (v1_xboole_0(F1))  & v1_xboole_0(k14_gate_1(N1, M1, L1, K1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(N1, M1, L1, K1)))  & v1_xboole_0(F1)) )  &  ( ~ ( ( ~ (v1_xboole_0(K1))  & v1_xboole_0(k2_gate_1(k1_gate_1(J1), O1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(k1_gate_1(J1), O1)))  & v1_xboole_0(K1)) )  &  ( ~ ( ( ~ (v1_xboole_0(L1))  & v1_xboole_0(k2_gate_1(G1, O1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(G1, O1)))  & v1_xboole_0(L1)) )  &  ( ~ ( ( ~ (v1_xboole_0(M1))  & v1_xboole_0(k2_gate_1(H1, O1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(H1, O1)))  & v1_xboole_0(M1)) )  &  ( ~ ( ( ~ (v1_xboole_0(N1))  & v1_xboole_0(k2_gate_1(I1, O1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(I1, O1)))  & v1_xboole_0(N1)) )  &  ~ ( ( ~ ( ( ~ (v1_xboole_0(R))  & v1_xboole_0(k2_gate_1(A, O1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(A, O1)))  & v1_xboole_0(R)) )  &  ( ~ ( ( ~ (v1_xboole_0(T))  & v1_xboole_0(k2_gate_1(B, O1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(B, O1)))  & v1_xboole_0(T)) )  &  ( ~ ( ( ~ (v1_xboole_0(X))  & v1_xboole_0(k2_gate_1(D, O1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(D, O1)))  & v1_xboole_0(X)) )  &  ( ~ ( ( ~ (v1_xboole_0(F1))  & v1_xboole_0(k2_gate_1(H, O1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(H, O1)))  & v1_xboole_0(F1)) )  &  ( ~ ( ( ~ (v1_xboole_0(E1))  & v1_xboole_0(k2_gate_1(P, O1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(P, O1)))  & v1_xboole_0(E1)) )  &  ( ~ ( ( ~ (v1_xboole_0(C1))  & v1_xboole_0(k2_gate_1(O, O1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(O, O1)))  & v1_xboole_0(C1)) )  &  ( ~ ( ( ~ (v1_xboole_0(Y))  & v1_xboole_0(k2_gate_1(M, O1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(M, O1)))  & v1_xboole_0(Y)) )  &  ( ~ ( ( ~ (v1_xboole_0(Q))  & v1_xboole_0(k3_gate_1(k2_gate_1(I, O1), k1_gate_1(O1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k3_gate_1(k2_gate_1(I, O1), k1_gate_1(O1))))  & v1_xboole_0(Q)) )  &  ( ~ ( ( ~ (v1_xboole_0(V))  & v1_xboole_0(k2_gate_1(C, O1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(C, O1)))  & v1_xboole_0(V)) )  &  ( ~ ( ( ~ (v1_xboole_0(B1))  & v1_xboole_0(k2_gate_1(F, O1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(F, O1)))  & v1_xboole_0(B1)) )  &  ( ~ ( ( ~ (v1_xboole_0(W))  & v1_xboole_0(k2_gate_1(L, O1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(L, O1)))  & v1_xboole_0(W)) )  &  ( ~ ( ( ~ (v1_xboole_0(D1))  & v1_xboole_0(k2_gate_1(G, O1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(G, O1)))  & v1_xboole_0(D1)) )  &  ( ~ ( ( ~ (v1_xboole_0(A1))  & v1_xboole_0(k2_gate_1(N, O1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(N, O1)))  & v1_xboole_0(A1)) )  &  ( ~ ( ( ~ (v1_xboole_0(U))  & v1_xboole_0(k2_gate_1(K, O1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(K, O1)))  & v1_xboole_0(U)) )  &  ( ~ ( ( ~ (v1_xboole_0(Z))  & v1_xboole_0(k2_gate_1(E, O1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(E, O1)))  & v1_xboole_0(Z)) )  &  ( ~ ( ( ~ (v1_xboole_0(S))  & v1_xboole_0(k2_gate_1(J, O1))) )  &  ~ ( ( ~ (v1_xboole_0(k2_gate_1(J, O1)))  & v1_xboole_0(S)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_gate_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  (! [J] :  (! [K] :  (! [L] :  (! [M] :  (! [N] :  (! [O] :  (! [P] :  (! [Q] :  (! [R] :  (! [S] :  (! [T] :  (! [U] :  (! [V] :  (! [W] :  (! [X] :  (! [Y] :  (! [Z] :  (! [A1] :  (! [B1] :  (! [C1] :  (! [D1] :  (! [E1] :  (! [F1] :  (! [G1] :  (! [H1] :  (! [I1] :  (! [J1] :  (! [K1] :  (! [L1] :  ~ ( ( ~ (v1_xboole_0(M))  &  ( ~ ( ( ~ (v1_xboole_0(Z))  & v1_xboole_0(k4_gate_1(L1, k2_gate_1(A, Y)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(L1, k2_gate_1(A, Y))))  & v1_xboole_0(Z)) )  &  ( ~ ( ( ~ (v1_xboole_0(A1))  & v1_xboole_0(k4_gate_1(N, k2_gate_1(B, Y)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(N, k2_gate_1(B, Y))))  & v1_xboole_0(A1)) )  &  ( ~ ( ( ~ (v1_xboole_0(B1))  & v1_xboole_0(k4_gate_1(O, k2_gate_1(C, Y)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(O, k2_gate_1(C, Y))))  & v1_xboole_0(B1)) )  &  ( ~ ( ( ~ (v1_xboole_0(C1))  & v1_xboole_0(k4_gate_1(P, k2_gate_1(D, Y)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(P, k2_gate_1(D, Y))))  & v1_xboole_0(C1)) )  &  ( ~ ( ( ~ (v1_xboole_0(D1))  & v1_xboole_0(k4_gate_1(Q, k2_gate_1(E, Y)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(Q, k2_gate_1(E, Y))))  & v1_xboole_0(D1)) )  &  ( ~ ( ( ~ (v1_xboole_0(E1))  & v1_xboole_0(k4_gate_1(R, k2_gate_1(F, Y)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(R, k2_gate_1(F, Y))))  & v1_xboole_0(E1)) )  &  ( ~ ( ( ~ (v1_xboole_0(F1))  & v1_xboole_0(k4_gate_1(S, k2_gate_1(G, Y)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(S, k2_gate_1(G, Y))))  & v1_xboole_0(F1)) )  &  ( ~ ( ( ~ (v1_xboole_0(G1))  & v1_xboole_0(k4_gate_1(T, k2_gate_1(H, Y)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(T, k2_gate_1(H, Y))))  & v1_xboole_0(G1)) )  &  ( ~ ( ( ~ (v1_xboole_0(H1))  & v1_xboole_0(k4_gate_1(U, k2_gate_1(I, Y)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(U, k2_gate_1(I, Y))))  & v1_xboole_0(H1)) )  &  ( ~ ( ( ~ (v1_xboole_0(I1))  & v1_xboole_0(k4_gate_1(V, k2_gate_1(J, Y)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(V, k2_gate_1(J, Y))))  & v1_xboole_0(I1)) )  &  ( ~ ( ( ~ (v1_xboole_0(J1))  & v1_xboole_0(k4_gate_1(W, k2_gate_1(K, Y)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(W, k2_gate_1(K, Y))))  & v1_xboole_0(J1)) )  &  ( ~ ( ( ~ (v1_xboole_0(K1))  & v1_xboole_0(k4_gate_1(X, k2_gate_1(L, Y)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(X, k2_gate_1(L, Y))))  & v1_xboole_0(K1)) )  &  ~ ( ( ~ ( ( ~ (v1_xboole_0(Y))  & v1_xboole_0(k2_gate_1(M, Y))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(M, Y)))  & v1_xboole_0(Y)) )  &  ( ~ ( ( ~ (v1_xboole_0(X))  & v1_xboole_0(k4_gate_1(K1, k2_gate_1(L, Y)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(K1, k2_gate_1(L, Y))))  & v1_xboole_0(X)) )  &  ( ~ ( ( ~ (v1_xboole_0(W))  & v1_xboole_0(k4_gate_1(J1, k2_gate_1(K, Y)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(J1, k2_gate_1(K, Y))))  & v1_xboole_0(W)) )  &  ( ~ ( ( ~ (v1_xboole_0(V))  & v1_xboole_0(k4_gate_1(I1, k2_gate_1(J, Y)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(I1, k2_gate_1(J, Y))))  & v1_xboole_0(V)) )  &  ( ~ ( ( ~ (v1_xboole_0(U))  & v1_xboole_0(k4_gate_1(H1, k2_gate_1(I, Y)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(H1, k2_gate_1(I, Y))))  & v1_xboole_0(U)) )  &  ( ~ ( ( ~ (v1_xboole_0(T))  & v1_xboole_0(k4_gate_1(G1, k2_gate_1(H, Y)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(G1, k2_gate_1(H, Y))))  & v1_xboole_0(T)) )  &  ( ~ ( ( ~ (v1_xboole_0(S))  & v1_xboole_0(k4_gate_1(F1, k2_gate_1(G, Y)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(F1, k2_gate_1(G, Y))))  & v1_xboole_0(S)) )  &  ( ~ ( ( ~ (v1_xboole_0(R))  & v1_xboole_0(k4_gate_1(E1, k2_gate_1(F, Y)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(E1, k2_gate_1(F, Y))))  & v1_xboole_0(R)) )  &  ( ~ ( ( ~ (v1_xboole_0(Q))  & v1_xboole_0(k4_gate_1(D1, k2_gate_1(E, Y)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(D1, k2_gate_1(E, Y))))  & v1_xboole_0(Q)) )  &  ( ~ ( ( ~ (v1_xboole_0(P))  & v1_xboole_0(k4_gate_1(C1, k2_gate_1(D, Y)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(C1, k2_gate_1(D, Y))))  & v1_xboole_0(P)) )  &  ( ~ ( ( ~ (v1_xboole_0(O))  & v1_xboole_0(k4_gate_1(B1, k2_gate_1(C, Y)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(B1, k2_gate_1(C, Y))))  & v1_xboole_0(O)) )  &  ( ~ ( ( ~ (v1_xboole_0(N))  & v1_xboole_0(k4_gate_1(A1, k2_gate_1(B, Y)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(A1, k2_gate_1(B, Y))))  & v1_xboole_0(N)) )  &  ( ~ ( ( ~ (v1_xboole_0(L1))  & v1_xboole_0(k4_gate_1(Z, k2_gate_1(A, Y)))) )  &  ~ ( ( ~ (v1_xboole_0(k4_gate_1(Z, k2_gate_1(A, Y))))  & v1_xboole_0(L1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_gate_4, axiom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~ ( ( ~ (v1_xboole_0(Q))  &  ( ~ ( ( ~ (v1_xboole_0(H1))  & v1_xboole_0(k4_gate_1(X1, k2_gate_1(A, G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(X1, k2_gate_1(A, G1))))  & v1_xboole_0(H1)) )  &  ( ~ ( ( ~ (v1_xboole_0(I1))  & v1_xboole_0(k4_gate_1(R, k2_gate_1(B, G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(R, k2_gate_1(B, G1))))  & v1_xboole_0(I1)) )  &  ( ~ ( ( ~ (v1_xboole_0(J1))  & v1_xboole_0(k4_gate_1(S, k2_gate_1(C, G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(S, k2_gate_1(C, G1))))  & v1_xboole_0(J1)) )  &  ( ~ ( ( ~ (v1_xboole_0(K1))  & v1_xboole_0(k4_gate_1(T, k2_gate_1(D, G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(T, k2_gate_1(D, G1))))  & v1_xboole_0(K1)) )  &  ( ~ ( ( ~ (v1_xboole_0(L1))  & v1_xboole_0(k4_gate_1(U, k2_gate_1(E, G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(U, k2_gate_1(E, G1))))  & v1_xboole_0(L1)) )  &  ( ~ ( ( ~ (v1_xboole_0(M1))  & v1_xboole_0(k4_gate_1(V, k2_gate_1(F, G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(V, k2_gate_1(F, G1))))  & v1_xboole_0(M1)) )  &  ( ~ ( ( ~ (v1_xboole_0(N1))  & v1_xboole_0(k4_gate_1(W, k2_gate_1(G, G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(W, k2_gate_1(G, G1))))  & v1_xboole_0(N1)) )  &  ( ~ ( ( ~ (v1_xboole_0(O1))  & v1_xboole_0(k4_gate_1(X, k2_gate_1(H, G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(X, k2_gate_1(H, G1))))  & v1_xboole_0(O1)) )  &  ( ~ ( ( ~ (v1_xboole_0(P1))  & v1_xboole_0(k4_gate_1(Y, k2_gate_1(I, G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(Y, k2_gate_1(I, G1))))  & v1_xboole_0(P1)) )  &  ( ~ ( ( ~ (v1_xboole_0(Q1))  & v1_xboole_0(k4_gate_1(Z, k2_gate_1(J, G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(Z, k2_gate_1(J, G1))))  & v1_xboole_0(Q1)) )  &  ( ~ ( ( ~ (v1_xboole_0(R1))  & v1_xboole_0(k4_gate_1(A1, k2_gate_1(K, G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(A1, k2_gate_1(K, G1))))  & v1_xboole_0(R1)) )  &  ( ~ ( ( ~ (v1_xboole_0(S1))  & v1_xboole_0(k4_gate_1(B1, k2_gate_1(L, G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(B1, k2_gate_1(L, G1))))  & v1_xboole_0(S1)) )  &  ( ~ ( ( ~ (v1_xboole_0(T1))  & v1_xboole_0(k4_gate_1(C1, k2_gate_1(M, G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(C1, k2_gate_1(M, G1))))  & v1_xboole_0(T1)) )  &  ( ~ ( ( ~ (v1_xboole_0(U1))  & v1_xboole_0(k4_gate_1(D1, k2_gate_1(N, G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(D1, k2_gate_1(N, G1))))  & v1_xboole_0(U1)) )  &  ( ~ ( ( ~ (v1_xboole_0(V1))  & v1_xboole_0(k4_gate_1(E1, k2_gate_1(O, G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(E1, k2_gate_1(O, G1))))  & v1_xboole_0(V1)) )  &  ( ~ ( ( ~ (v1_xboole_0(W1))  & v1_xboole_0(k4_gate_1(F1, k2_gate_1(P, G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(F1, k2_gate_1(P, G1))))  & v1_xboole_0(W1)) )  &  ~ ( ( ~ ( ( ~ (v1_xboole_0(G1))  & v1_xboole_0(k2_gate_1(Q, G1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(Q, G1)))  & v1_xboole_0(G1)) )  &  ( ~ ( ( ~ (v1_xboole_0(F1))  & v1_xboole_0(k4_gate_1(W1, k2_gate_1(P, G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(W1, k2_gate_1(P, G1))))  & v1_xboole_0(F1)) )  &  ( ~ ( ( ~ (v1_xboole_0(E1))  & v1_xboole_0(k4_gate_1(V1, k2_gate_1(O, G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(V1, k2_gate_1(O, G1))))  & v1_xboole_0(E1)) )  &  ( ~ ( ( ~ (v1_xboole_0(D1))  & v1_xboole_0(k4_gate_1(U1, k2_gate_1(N, G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(U1, k2_gate_1(N, G1))))  & v1_xboole_0(D1)) )  &  ( ~ ( ( ~ (v1_xboole_0(C1))  & v1_xboole_0(k4_gate_1(T1, k2_gate_1(M, G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(T1, k2_gate_1(M, G1))))  & v1_xboole_0(C1)) )  &  ( ~ ( ( ~ (v1_xboole_0(B1))  & v1_xboole_0(k4_gate_1(S1, k2_gate_1(L, G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(S1, k2_gate_1(L, G1))))  & v1_xboole_0(B1)) )  &  ( ~ ( ( ~ (v1_xboole_0(A1))  & v1_xboole_0(k4_gate_1(R1, k2_gate_1(K, G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(R1, k2_gate_1(K, G1))))  & v1_xboole_0(A1)) )  &  ( ~ ( ( ~ (v1_xboole_0(Z))  & v1_xboole_0(k4_gate_1(Q1, k2_gate_1(J, G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(Q1, k2_gate_1(J, G1))))  & v1_xboole_0(Z)) )  &  ( ~ ( ( ~ (v1_xboole_0(Y))  & v1_xboole_0(k4_gate_1(P1, k2_gate_1(I, G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(P1, k2_gate_1(I, G1))))  & v1_xboole_0(Y)) )  &  ( ~ ( ( ~ (v1_xboole_0(X))  & v1_xboole_0(k4_gate_1(O1, k2_gate_1(H, G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(O1, k2_gate_1(H, G1))))  & v1_xboole_0(X)) )  &  ( ~ ( ( ~ (v1_xboole_0(W))  & v1_xboole_0(k4_gate_1(N1, k2_gate_1(G, G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(N1, k2_gate_1(G, G1))))  & v1_xboole_0(W)) )  &  ( ~ ( ( ~ (v1_xboole_0(V))  & v1_xboole_0(k4_gate_1(M1, k2_gate_1(F, G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(M1, k2_gate_1(F, G1))))  & v1_xboole_0(V)) )  &  ( ~ ( ( ~ (v1_xboole_0(U))  & v1_xboole_0(k4_gate_1(L1, k2_gate_1(E, G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(L1, k2_gate_1(E, G1))))  & v1_xboole_0(U)) )  &  ( ~ ( ( ~ (v1_xboole_0(T))  & v1_xboole_0(k4_gate_1(K1, k2_gate_1(D, G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(K1, k2_gate_1(D, G1))))  & v1_xboole_0(T)) )  &  ( ~ ( ( ~ (v1_xboole_0(S))  & v1_xboole_0(k4_gate_1(J1, k2_gate_1(C, G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(J1, k2_gate_1(C, G1))))  & v1_xboole_0(S)) )  &  ( ~ ( ( ~ (v1_xboole_0(R))  & v1_xboole_0(k4_gate_1(I1, k2_gate_1(B, G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(I1, k2_gate_1(B, G1))))  & v1_xboole_0(R)) )  &  ( ~ ( ( ~ (v1_xboole_0(X1))  & v1_xboole_0(k4_gate_1(H1, k2_gate_1(A, G1)))) )  &  ~ ( ( ~ (v1_xboole_0(k4_gate_1(H1, k2_gate_1(A, G1))))  & v1_xboole_0(X1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_gate_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  (! [J] :  (! [K] :  (! [L] :  (! [M] :  (! [N] :  (! [O] :  (! [P] :  (! [Q] :  (! [R] :  (! [S] :  (! [T] :  (! [U] :  (! [V] :  (! [W] :  (! [X] :  (! [Y] :  (! [Z] :  (! [A1] :  (! [B1] :  (! [C1] :  (! [D1] :  (! [E1] :  (! [F1] :  (! [G1] :  (! [H1] :  (! [I1] :  (! [J1] :  (! [K1] :  (! [L1] :  (! [M1] :  (v1_xboole_0(L1) =>  (v1_xboole_0(A) |  ( ( ~ (v1_xboole_0(Z))  & v1_xboole_0(k4_gate_1(M1, Y)))  |  ( ( ~ (v1_xboole_0(k4_gate_1(M1, Y)))  & v1_xboole_0(Z))  |  ( ( ~ (v1_xboole_0(A1))  & v1_xboole_0(k4_gate_1(N, k2_gate_1(B, Z))))  |  ( ( ~ (v1_xboole_0(k4_gate_1(N, k2_gate_1(B, Z))))  & v1_xboole_0(A1))  |  ( ( ~ (v1_xboole_0(B1))  & v1_xboole_0(k4_gate_1(O, k2_gate_1(C, Z))))  |  ( ( ~ (v1_xboole_0(k4_gate_1(O, k2_gate_1(C, Z))))  & v1_xboole_0(B1))  |  ( ( ~ (v1_xboole_0(C1))  & v1_xboole_0(k4_gate_1(P, k2_gate_1(D, Z))))  |  ( ( ~ (v1_xboole_0(k4_gate_1(P, k2_gate_1(D, Z))))  & v1_xboole_0(C1))  |  ( ( ~ (v1_xboole_0(D1))  & v1_xboole_0(k4_gate_1(Q, k2_gate_1(E, Z))))  |  ( ( ~ (v1_xboole_0(k4_gate_1(Q, k2_gate_1(E, Z))))  & v1_xboole_0(D1))  |  ( ( ~ (v1_xboole_0(E1))  & v1_xboole_0(k4_gate_1(R, k2_gate_1(F, Z))))  |  ( ( ~ (v1_xboole_0(k4_gate_1(R, k2_gate_1(F, Z))))  & v1_xboole_0(E1))  |  ( ( ~ (v1_xboole_0(F1))  & v1_xboole_0(k4_gate_1(S, k2_gate_1(G, Z))))  |  ( ( ~ (v1_xboole_0(k4_gate_1(S, k2_gate_1(G, Z))))  & v1_xboole_0(F1))  |  ( ( ~ (v1_xboole_0(G1))  & v1_xboole_0(k4_gate_1(T, k2_gate_1(H, Z))))  |  ( ( ~ (v1_xboole_0(k4_gate_1(T, k2_gate_1(H, Z))))  & v1_xboole_0(G1))  |  ( ( ~ (v1_xboole_0(H1))  & v1_xboole_0(k4_gate_1(U, k2_gate_1(I, Z))))  |  ( ( ~ (v1_xboole_0(k4_gate_1(U, k2_gate_1(I, Z))))  & v1_xboole_0(H1))  |  ( ( ~ (v1_xboole_0(I1))  & v1_xboole_0(k4_gate_1(V, k2_gate_1(J, Z))))  |  ( ( ~ (v1_xboole_0(k4_gate_1(V, k2_gate_1(J, Z))))  & v1_xboole_0(I1))  |  ( ( ~ (v1_xboole_0(J1))  & v1_xboole_0(k4_gate_1(W, k2_gate_1(K, Z))))  |  ( ( ~ (v1_xboole_0(k4_gate_1(W, k2_gate_1(K, Z))))  & v1_xboole_0(J1))  |  ( ( ~ (v1_xboole_0(K1))  & v1_xboole_0(k4_gate_1(X, k2_gate_1(L, Z))))  |  ( ( ~ (v1_xboole_0(k4_gate_1(X, k2_gate_1(L, Z))))  & v1_xboole_0(K1))  |  ( ~ ( ( ~ (v1_xboole_0(K1))  & v1_xboole_0(k4_gate_1(k4_gate_1(X, k2_gate_1(L, Y)), k4_gate_1(L1, k2_gate_1(L, M1))))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(k4_gate_1(X, k2_gate_1(L, Y)), k4_gate_1(L1, k2_gate_1(L, M1)))))  & v1_xboole_0(K1)) )  &  ( ~ ( ( ~ (v1_xboole_0(J1))  & v1_xboole_0(k4_gate_1(k4_gate_1(W, k2_gate_1(K, Y)), k4_gate_1(L1, k2_gate_1(K, M1))))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(k4_gate_1(W, k2_gate_1(K, Y)), k4_gate_1(L1, k2_gate_1(K, M1)))))  & v1_xboole_0(J1)) )  &  ( ~ ( ( ~ (v1_xboole_0(I1))  & v1_xboole_0(k4_gate_1(k4_gate_1(V, k2_gate_1(J, Y)), k4_gate_1(L1, k2_gate_1(J, M1))))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(k4_gate_1(V, k2_gate_1(J, Y)), k4_gate_1(L1, k2_gate_1(J, M1)))))  & v1_xboole_0(I1)) )  &  ( ~ ( ( ~ (v1_xboole_0(H1))  & v1_xboole_0(k4_gate_1(k4_gate_1(U, k2_gate_1(I, Y)), k4_gate_1(L1, k2_gate_1(I, M1))))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(k4_gate_1(U, k2_gate_1(I, Y)), k4_gate_1(L1, k2_gate_1(I, M1)))))  & v1_xboole_0(H1)) )  &  ( ~ ( ( ~ (v1_xboole_0(G1))  & v1_xboole_0(k4_gate_1(k4_gate_1(T, k2_gate_1(H, Y)), k4_gate_1(L1, k2_gate_1(H, M1))))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(k4_gate_1(T, k2_gate_1(H, Y)), k4_gate_1(L1, k2_gate_1(H, M1)))))  & v1_xboole_0(G1)) )  &  ( ~ ( ( ~ (v1_xboole_0(F1))  & v1_xboole_0(k4_gate_1(k4_gate_1(S, k2_gate_1(G, Y)), k4_gate_1(L1, k2_gate_1(G, M1))))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(k4_gate_1(S, k2_gate_1(G, Y)), k4_gate_1(L1, k2_gate_1(G, M1)))))  & v1_xboole_0(F1)) )  &  ( ~ ( ( ~ (v1_xboole_0(E1))  & v1_xboole_0(k4_gate_1(k4_gate_1(R, k2_gate_1(F, Y)), k4_gate_1(L1, k2_gate_1(F, M1))))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(k4_gate_1(R, k2_gate_1(F, Y)), k4_gate_1(L1, k2_gate_1(F, M1)))))  & v1_xboole_0(E1)) )  &  ( ~ ( ( ~ (v1_xboole_0(D1))  & v1_xboole_0(k4_gate_1(k4_gate_1(Q, k2_gate_1(E, Y)), k4_gate_1(L1, k2_gate_1(E, M1))))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(k4_gate_1(Q, k2_gate_1(E, Y)), k4_gate_1(L1, k2_gate_1(E, M1)))))  & v1_xboole_0(D1)) )  &  ( ~ ( ( ~ (v1_xboole_0(C1))  & v1_xboole_0(k4_gate_1(k4_gate_1(P, k2_gate_1(D, Y)), k4_gate_1(L1, k2_gate_1(D, M1))))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(k4_gate_1(P, k2_gate_1(D, Y)), k4_gate_1(L1, k2_gate_1(D, M1)))))  & v1_xboole_0(C1)) )  &  ( ~ ( ( ~ (v1_xboole_0(B1))  & v1_xboole_0(k4_gate_1(k4_gate_1(O, k2_gate_1(C, Y)), k4_gate_1(L1, k2_gate_1(C, M1))))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(k4_gate_1(O, k2_gate_1(C, Y)), k4_gate_1(L1, k2_gate_1(C, M1)))))  & v1_xboole_0(B1)) )  &  ( ~ ( ( ~ (v1_xboole_0(A1))  & v1_xboole_0(k4_gate_1(k4_gate_1(N, k2_gate_1(B, Y)), k4_gate_1(L1, k2_gate_1(B, M1))))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(k4_gate_1(N, k2_gate_1(B, Y)), k4_gate_1(L1, k2_gate_1(B, M1)))))  & v1_xboole_0(A1)) )  &  ( ~ ( ( ~ (v1_xboole_0(Z))  & v1_xboole_0(k4_gate_1(k4_gate_1(L1, k2_gate_1(A, Y)), k4_gate_1(L1, k2_gate_1(A, M1))))) )  &  ~ ( ( ~ (v1_xboole_0(k4_gate_1(k4_gate_1(L1, k2_gate_1(A, Y)), k4_gate_1(L1, k2_gate_1(A, M1)))))  & v1_xboole_0(Z)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_gate_4, axiom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v1_xboole_0(X1) =>  (v1_xboole_0(A) |  ( ( ~ (v1_xboole_0(H1))  & v1_xboole_0(k4_gate_1(Y1, G1)))  |  ( ( ~ (v1_xboole_0(k4_gate_1(Y1, G1)))  & v1_xboole_0(H1))  |  ( ( ~ (v1_xboole_0(I1))  & v1_xboole_0(k4_gate_1(R, k2_gate_1(B, H1))))  |  ( ( ~ (v1_xboole_0(k4_gate_1(R, k2_gate_1(B, H1))))  & v1_xboole_0(I1))  |  ( ( ~ (v1_xboole_0(J1))  & v1_xboole_0(k4_gate_1(S, k2_gate_1(C, H1))))  |  ( ( ~ (v1_xboole_0(k4_gate_1(S, k2_gate_1(C, H1))))  & v1_xboole_0(J1))  |  ( ( ~ (v1_xboole_0(K1))  & v1_xboole_0(k4_gate_1(T, k2_gate_1(D, H1))))  |  ( ( ~ (v1_xboole_0(k4_gate_1(T, k2_gate_1(D, H1))))  & v1_xboole_0(K1))  |  ( ( ~ (v1_xboole_0(L1))  & v1_xboole_0(k4_gate_1(U, k2_gate_1(E, H1))))  |  ( ( ~ (v1_xboole_0(k4_gate_1(U, k2_gate_1(E, H1))))  & v1_xboole_0(L1))  |  ( ( ~ (v1_xboole_0(M1))  & v1_xboole_0(k4_gate_1(V, k2_gate_1(F, H1))))  |  ( ( ~ (v1_xboole_0(k4_gate_1(V, k2_gate_1(F, H1))))  & v1_xboole_0(M1))  |  ( ( ~ (v1_xboole_0(N1))  & v1_xboole_0(k4_gate_1(W, k2_gate_1(G, H1))))  |  ( ( ~ (v1_xboole_0(k4_gate_1(W, k2_gate_1(G, H1))))  & v1_xboole_0(N1))  |  ( ( ~ (v1_xboole_0(O1))  & v1_xboole_0(k4_gate_1(X, k2_gate_1(H, H1))))  |  ( ( ~ (v1_xboole_0(k4_gate_1(X, k2_gate_1(H, H1))))  & v1_xboole_0(O1))  |  ( ( ~ (v1_xboole_0(P1))  & v1_xboole_0(k4_gate_1(Y, k2_gate_1(I, H1))))  |  ( ( ~ (v1_xboole_0(k4_gate_1(Y, k2_gate_1(I, H1))))  & v1_xboole_0(P1))  |  ( ( ~ (v1_xboole_0(Q1))  & v1_xboole_0(k4_gate_1(Z, k2_gate_1(J, H1))))  |  ( ( ~ (v1_xboole_0(k4_gate_1(Z, k2_gate_1(J, H1))))  & v1_xboole_0(Q1))  |  ( ( ~ (v1_xboole_0(R1))  & v1_xboole_0(k4_gate_1(A1, k2_gate_1(K, H1))))  |  ( ( ~ (v1_xboole_0(k4_gate_1(A1, k2_gate_1(K, H1))))  & v1_xboole_0(R1))  |  ( ( ~ (v1_xboole_0(S1))  & v1_xboole_0(k4_gate_1(B1, k2_gate_1(L, H1))))  |  ( ( ~ (v1_xboole_0(k4_gate_1(B1, k2_gate_1(L, H1))))  & v1_xboole_0(S1))  |  ( ( ~ (v1_xboole_0(T1))  & v1_xboole_0(k4_gate_1(C1, k2_gate_1(M, H1))))  |  ( ( ~ (v1_xboole_0(k4_gate_1(C1, k2_gate_1(M, H1))))  & v1_xboole_0(T1))  |  ( ( ~ (v1_xboole_0(U1))  & v1_xboole_0(k4_gate_1(D1, k2_gate_1(N, H1))))  |  ( ( ~ (v1_xboole_0(k4_gate_1(D1, k2_gate_1(N, H1))))  & v1_xboole_0(U1))  |  ( ( ~ (v1_xboole_0(V1))  & v1_xboole_0(k4_gate_1(E1, k2_gate_1(O, H1))))  |  ( ( ~ (v1_xboole_0(k4_gate_1(E1, k2_gate_1(O, H1))))  & v1_xboole_0(V1))  |  ( ( ~ (v1_xboole_0(W1))  & v1_xboole_0(k4_gate_1(F1, k2_gate_1(P, H1))))  |  ( ( ~ (v1_xboole_0(k4_gate_1(F1, k2_gate_1(P, H1))))  & v1_xboole_0(W1))  |  ( ~ ( ( ~ (v1_xboole_0(W1))  & v1_xboole_0(k4_gate_1(k4_gate_1(F1, k2_gate_1(P, G1)), k4_gate_1(X1, k2_gate_1(P, Y1))))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(k4_gate_1(F1, k2_gate_1(P, G1)), k4_gate_1(X1, k2_gate_1(P, Y1)))))  & v1_xboole_0(W1)) )  &  ( ~ ( ( ~ (v1_xboole_0(V1))  & v1_xboole_0(k4_gate_1(k4_gate_1(E1, k2_gate_1(O, G1)), k4_gate_1(X1, k2_gate_1(O, Y1))))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(k4_gate_1(E1, k2_gate_1(O, G1)), k4_gate_1(X1, k2_gate_1(O, Y1)))))  & v1_xboole_0(V1)) )  &  ( ~ ( ( ~ (v1_xboole_0(U1))  & v1_xboole_0(k4_gate_1(k4_gate_1(D1, k2_gate_1(N, G1)), k4_gate_1(X1, k2_gate_1(N, Y1))))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(k4_gate_1(D1, k2_gate_1(N, G1)), k4_gate_1(X1, k2_gate_1(N, Y1)))))  & v1_xboole_0(U1)) )  &  ( ~ ( ( ~ (v1_xboole_0(T1))  & v1_xboole_0(k4_gate_1(k4_gate_1(C1, k2_gate_1(M, G1)), k4_gate_1(X1, k2_gate_1(M, Y1))))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(k4_gate_1(C1, k2_gate_1(M, G1)), k4_gate_1(X1, k2_gate_1(M, Y1)))))  & v1_xboole_0(T1)) )  &  ( ~ ( ( ~ (v1_xboole_0(S1))  & v1_xboole_0(k4_gate_1(k4_gate_1(B1, k2_gate_1(L, G1)), k4_gate_1(X1, k2_gate_1(L, Y1))))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(k4_gate_1(B1, k2_gate_1(L, G1)), k4_gate_1(X1, k2_gate_1(L, Y1)))))  & v1_xboole_0(S1)) )  &  ( ~ ( ( ~ (v1_xboole_0(R1))  & v1_xboole_0(k4_gate_1(k4_gate_1(A1, k2_gate_1(K, G1)), k4_gate_1(X1, k2_gate_1(K, Y1))))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(k4_gate_1(A1, k2_gate_1(K, G1)), k4_gate_1(X1, k2_gate_1(K, Y1)))))  & v1_xboole_0(R1)) )  &  ( ~ ( ( ~ (v1_xboole_0(Q1))  & v1_xboole_0(k4_gate_1(k4_gate_1(Z, k2_gate_1(J, G1)), k4_gate_1(X1, k2_gate_1(J, Y1))))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(k4_gate_1(Z, k2_gate_1(J, G1)), k4_gate_1(X1, k2_gate_1(J, Y1)))))  & v1_xboole_0(Q1)) )  &  ( ~ ( ( ~ (v1_xboole_0(P1))  & v1_xboole_0(k4_gate_1(k4_gate_1(Y, k2_gate_1(I, G1)), k4_gate_1(X1, k2_gate_1(I, Y1))))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(k4_gate_1(Y, k2_gate_1(I, G1)), k4_gate_1(X1, k2_gate_1(I, Y1)))))  & v1_xboole_0(P1)) )  &  ( ~ ( ( ~ (v1_xboole_0(O1))  & v1_xboole_0(k4_gate_1(k4_gate_1(X, k2_gate_1(H, G1)), k4_gate_1(X1, k2_gate_1(H, Y1))))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(k4_gate_1(X, k2_gate_1(H, G1)), k4_gate_1(X1, k2_gate_1(H, Y1)))))  & v1_xboole_0(O1)) )  &  ( ~ ( ( ~ (v1_xboole_0(N1))  & v1_xboole_0(k4_gate_1(k4_gate_1(W, k2_gate_1(G, G1)), k4_gate_1(X1, k2_gate_1(G, Y1))))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(k4_gate_1(W, k2_gate_1(G, G1)), k4_gate_1(X1, k2_gate_1(G, Y1)))))  & v1_xboole_0(N1)) )  &  ( ~ ( ( ~ (v1_xboole_0(M1))  & v1_xboole_0(k4_gate_1(k4_gate_1(V, k2_gate_1(F, G1)), k4_gate_1(X1, k2_gate_1(F, Y1))))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(k4_gate_1(V, k2_gate_1(F, G1)), k4_gate_1(X1, k2_gate_1(F, Y1)))))  & v1_xboole_0(M1)) )  &  ( ~ ( ( ~ (v1_xboole_0(L1))  & v1_xboole_0(k4_gate_1(k4_gate_1(U, k2_gate_1(E, G1)), k4_gate_1(X1, k2_gate_1(E, Y1))))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(k4_gate_1(U, k2_gate_1(E, G1)), k4_gate_1(X1, k2_gate_1(E, Y1)))))  & v1_xboole_0(L1)) )  &  ( ~ ( ( ~ (v1_xboole_0(K1))  & v1_xboole_0(k4_gate_1(k4_gate_1(T, k2_gate_1(D, G1)), k4_gate_1(X1, k2_gate_1(D, Y1))))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(k4_gate_1(T, k2_gate_1(D, G1)), k4_gate_1(X1, k2_gate_1(D, Y1)))))  & v1_xboole_0(K1)) )  &  ( ~ ( ( ~ (v1_xboole_0(J1))  & v1_xboole_0(k4_gate_1(k4_gate_1(S, k2_gate_1(C, G1)), k4_gate_1(X1, k2_gate_1(C, Y1))))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(k4_gate_1(S, k2_gate_1(C, G1)), k4_gate_1(X1, k2_gate_1(C, Y1)))))  & v1_xboole_0(J1)) )  &  ( ~ ( ( ~ (v1_xboole_0(I1))  & v1_xboole_0(k4_gate_1(k4_gate_1(R, k2_gate_1(B, G1)), k4_gate_1(X1, k2_gate_1(B, Y1))))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(k4_gate_1(R, k2_gate_1(B, G1)), k4_gate_1(X1, k2_gate_1(B, Y1)))))  & v1_xboole_0(I1)) )  &  ( ~ ( ( ~ (v1_xboole_0(H1))  & v1_xboole_0(k4_gate_1(k4_gate_1(X1, k2_gate_1(A, G1)), k4_gate_1(X1, k2_gate_1(A, Y1))))) )  &  ~ ( ( ~ (v1_xboole_0(k4_gate_1(k4_gate_1(X1, k2_gate_1(A, G1)), k4_gate_1(X1, k2_gate_1(A, Y1)))))  & v1_xboole_0(H1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_gate_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k1_gate_5(A, B, C, D)=k2_gate_1(A, C)) ) ) ) ).
fof(d2_gate_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k2_gate_5(A, B, C, D)=k10_gate_1(k2_gate_1(B, C), k2_gate_1(A, D), k1_xboole_0)) ) ) ) ).
fof(d3_gate_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k3_gate_5(A, B, C, D)=k35_gate_1(k2_gate_1(B, C), k2_gate_1(A, D), k1_xboole_0, k2_gate_1(B, D), k1_xboole_0)) ) ) ) ).
fof(d4_gate_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k4_gate_5(A, B, C, D)=k36_gate_1(k2_gate_1(B, C), k2_gate_1(A, D), k1_xboole_0, k2_gate_1(B, D), k1_xboole_0)) ) ) ) ).
fof(t1_gate_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  (! [J] :  (! [K] :  (! [L] :  (! [M] :  ~ ( ( ~ ( ( ~ (v1_xboole_0(I))  & v1_xboole_0(k2_gate_1(A, C))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(A, C)))  & v1_xboole_0(I)) )  &  ( ~ ( ( ~ (v1_xboole_0(J))  & v1_xboole_0(k10_gate_1(k2_gate_1(B, C), k2_gate_1(A, D), k1_xboole_0))) )  &  ( ~ ( ( ~ (v1_xboole_0(k10_gate_1(k2_gate_1(B, C), k2_gate_1(A, D), k1_xboole_0)))  & v1_xboole_0(J)) )  &  ( ~ ( ( ~ (v1_xboole_0(K))  & v1_xboole_0(k11_gate_1(k2_gate_1(B, C), k2_gate_1(A, D), k1_xboole_0))) )  &  ( ~ ( ( ~ (v1_xboole_0(k11_gate_1(k2_gate_1(B, C), k2_gate_1(A, D), k1_xboole_0)))  & v1_xboole_0(K)) )  &  ( ~ ( ( ~ (v1_xboole_0(L))  & v1_xboole_0(k10_gate_1(k2_gate_1(B, D), k1_xboole_0, K))) )  &  ( ~ ( ( ~ (v1_xboole_0(k10_gate_1(k2_gate_1(B, D), k1_xboole_0, K)))  & v1_xboole_0(L)) )  &  ( ~ ( ( ~ (v1_xboole_0(M))  & v1_xboole_0(k11_gate_1(k2_gate_1(B, D), k1_xboole_0, K))) )  &  ( ~ ( ( ~ (v1_xboole_0(k11_gate_1(k2_gate_1(B, D), k1_xboole_0, K)))  & v1_xboole_0(M)) )  &  ( ~ ( ( ~ (v1_xboole_0(E))  & v1_xboole_0(I)) )  &  ( ~ ( ( ~ (v1_xboole_0(I))  & v1_xboole_0(E)) )  &  ( ~ ( ( ~ (v1_xboole_0(F))  & v1_xboole_0(J)) )  &  ( ~ ( ( ~ (v1_xboole_0(J))  & v1_xboole_0(F)) )  &  ( ~ ( ( ~ (v1_xboole_0(G))  & v1_xboole_0(L)) )  &  ( ~ ( ( ~ (v1_xboole_0(L))  & v1_xboole_0(G)) )  &  ( ~ ( ( ~ (v1_xboole_0(H))  & v1_xboole_0(M)) )  &  ( ~ ( ( ~ (v1_xboole_0(M))  & v1_xboole_0(H)) )  &  ~ ( ( ~ ( ( ~ (v1_xboole_0(E))  & v1_xboole_0(k1_gate_5(A, B, C, D))) )  &  ( ~ ( ( ~ (v1_xboole_0(k1_gate_5(A, B, C, D)))  & v1_xboole_0(E)) )  &  ( ~ ( ( ~ (v1_xboole_0(F))  & v1_xboole_0(k2_gate_5(A, B, C, D))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_5(A, B, C, D)))  & v1_xboole_0(F)) )  &  ( ~ ( ( ~ (v1_xboole_0(G))  & v1_xboole_0(k3_gate_5(A, B, C, D))) )  &  ( ~ ( ( ~ (v1_xboole_0(k3_gate_5(A, B, C, D)))  & v1_xboole_0(G)) )  &  ( ~ ( ( ~ (v1_xboole_0(H))  & v1_xboole_0(k4_gate_5(A, B, C, D))) )  &  ~ ( ( ~ (v1_xboole_0(k4_gate_5(A, B, C, D)))  & v1_xboole_0(H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_gate_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k5_gate_5(A, B, C, D, E)=k2_gate_1(A, D)) ) ) ) ) ).
fof(d6_gate_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k6_gate_5(A, B, C, D, E)=k10_gate_1(k2_gate_1(B, D), k2_gate_1(A, E), k1_xboole_0)) ) ) ) ) ).
fof(d7_gate_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k7_gate_5(A, B, C, D, E)=k35_gate_1(k2_gate_1(B, D), k2_gate_1(A, E), k2_gate_1(C, D), k2_gate_1(B, E), k1_xboole_0)) ) ) ) ) ).
fof(d8_gate_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k8_gate_5(A, B, C, D, E)=k37_gate_1(k2_gate_1(B, D), k2_gate_1(A, E), k2_gate_1(C, D), k2_gate_1(B, E), k1_xboole_0, k2_gate_1(C, E), k1_xboole_0)) ) ) ) ) ).
fof(d9_gate_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k9_gate_5(A, B, C, D, E)=k38_gate_1(k2_gate_1(B, D), k2_gate_1(A, E), k2_gate_1(C, D), k2_gate_1(B, E), k1_xboole_0, k2_gate_1(C, E), k1_xboole_0)) ) ) ) ) ).
fof(d10_gate_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] : k10_gate_5(A, B, C, D, E, F)=k10_gate_1(k7_gate_5(A, B, C, D, E), k2_gate_1(A, F), k1_xboole_0)) ) ) ) ) ) ).
fof(d11_gate_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] : k11_gate_5(A, B, C, D, E, F)=k35_gate_1(k7_gate_5(A, B, C, D, E), k2_gate_1(A, F), k8_gate_5(A, B, C, D, E), k2_gate_1(B, F), k1_xboole_0)) ) ) ) ) ) ).
fof(d12_gate_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] : k12_gate_5(A, B, C, D, E, F)=k37_gate_1(k7_gate_5(A, B, C, D, E), k2_gate_1(A, F), k8_gate_5(A, B, C, D, E), k2_gate_1(B, F), k9_gate_5(A, B, C, D, E), k2_gate_1(C, F), k1_xboole_0)) ) ) ) ) ) ).
fof(d13_gate_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] : k13_gate_5(A, B, C, D, E, F)=k38_gate_1(k7_gate_5(A, B, C, D, E), k2_gate_1(A, F), k8_gate_5(A, B, C, D, E), k2_gate_1(B, F), k9_gate_5(A, B, C, D, E), k2_gate_1(C, F), k1_xboole_0)) ) ) ) ) ) ).
fof(t2_gate_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  (! [J] :  (! [K] :  (! [L] :  (! [M] :  (! [N] :  (! [O] :  (! [P] :  (! [Q] :  (! [R] :  (! [S] :  (! [T] :  (! [U] :  (! [V] :  (! [W] :  (! [X] :  (! [Y] :  ~ ( ( ~ ( ( ~ (v1_xboole_0(M))  & v1_xboole_0(k2_gate_1(A, D))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(A, D)))  & v1_xboole_0(M)) )  &  ( ~ ( ( ~ (v1_xboole_0(N))  & v1_xboole_0(k10_gate_1(k2_gate_1(B, D), k2_gate_1(A, E), k1_xboole_0))) )  &  ( ~ ( ( ~ (v1_xboole_0(k10_gate_1(k2_gate_1(B, D), k2_gate_1(A, E), k1_xboole_0)))  & v1_xboole_0(N)) )  &  ( ~ ( ( ~ (v1_xboole_0(P))  & v1_xboole_0(k11_gate_1(k2_gate_1(B, D), k2_gate_1(A, E), k1_xboole_0))) )  &  ( ~ ( ( ~ (v1_xboole_0(k11_gate_1(k2_gate_1(B, D), k2_gate_1(A, E), k1_xboole_0)))  & v1_xboole_0(P)) )  &  ( ~ ( ( ~ (v1_xboole_0(O))  & v1_xboole_0(k10_gate_1(k2_gate_1(C, D), k2_gate_1(B, E), k1_xboole_0))) )  &  ( ~ ( ( ~ (v1_xboole_0(k10_gate_1(k2_gate_1(C, D), k2_gate_1(B, E), k1_xboole_0)))  & v1_xboole_0(O)) )  &  ( ~ ( ( ~ (v1_xboole_0(Q))  & v1_xboole_0(k11_gate_1(k2_gate_1(C, D), k2_gate_1(B, E), k1_xboole_0))) )  &  ( ~ ( ( ~ (v1_xboole_0(k11_gate_1(k2_gate_1(C, D), k2_gate_1(B, E), k1_xboole_0)))  & v1_xboole_0(Q)) )  &  ( ~ ( ( ~ (v1_xboole_0(R))  & v1_xboole_0(k10_gate_1(O, k2_gate_1(A, F), P))) )  &  ( ~ ( ( ~ (v1_xboole_0(k10_gate_1(O, k2_gate_1(A, F), P)))  & v1_xboole_0(R)) )  &  ( ~ ( ( ~ (v1_xboole_0(T))  & v1_xboole_0(k11_gate_1(O, k2_gate_1(A, F), P))) )  &  ( ~ ( ( ~ (v1_xboole_0(k11_gate_1(O, k2_gate_1(A, F), P)))  & v1_xboole_0(T)) )  &  ( ~ ( ( ~ (v1_xboole_0(S))  & v1_xboole_0(k10_gate_1(k2_gate_1(C, E), k2_gate_1(B, F), Q))) )  &  ( ~ ( ( ~ (v1_xboole_0(k10_gate_1(k2_gate_1(C, E), k2_gate_1(B, F), Q)))  & v1_xboole_0(S)) )  &  ( ~ ( ( ~ (v1_xboole_0(U))  & v1_xboole_0(k11_gate_1(k2_gate_1(C, E), k2_gate_1(B, F), Q))) )  &  ( ~ ( ( ~ (v1_xboole_0(k11_gate_1(k2_gate_1(C, E), k2_gate_1(B, F), Q)))  & v1_xboole_0(U)) )  &  ( ~ ( ( ~ (v1_xboole_0(V))  & v1_xboole_0(k10_gate_1(S, k1_xboole_0, T))) )  &  ( ~ ( ( ~ (v1_xboole_0(k10_gate_1(S, k1_xboole_0, T)))  & v1_xboole_0(V)) )  &  ( ~ ( ( ~ (v1_xboole_0(X))  & v1_xboole_0(k11_gate_1(S, k1_xboole_0, T))) )  &  ( ~ ( ( ~ (v1_xboole_0(k11_gate_1(S, k1_xboole_0, T)))  & v1_xboole_0(X)) )  &  ( ~ ( ( ~ (v1_xboole_0(W))  & v1_xboole_0(k10_gate_1(k2_gate_1(C, F), X, U))) )  &  ( ~ ( ( ~ (v1_xboole_0(k10_gate_1(k2_gate_1(C, F), X, U)))  & v1_xboole_0(W)) )  &  ( ~ ( ( ~ (v1_xboole_0(Y))  & v1_xboole_0(k11_gate_1(k2_gate_1(C, F), X, U))) )  &  ( ~ ( ( ~ (v1_xboole_0(k11_gate_1(k2_gate_1(C, F), X, U)))  & v1_xboole_0(Y)) )  &  ( ~ ( ( ~ (v1_xboole_0(G))  & v1_xboole_0(M)) )  &  ( ~ ( ( ~ (v1_xboole_0(M))  & v1_xboole_0(G)) )  &  ( ~ ( ( ~ (v1_xboole_0(H))  & v1_xboole_0(N)) )  &  ( ~ ( ( ~ (v1_xboole_0(N))  & v1_xboole_0(H)) )  &  ( ~ ( ( ~ (v1_xboole_0(I))  & v1_xboole_0(R)) )  &  ( ~ ( ( ~ (v1_xboole_0(R))  & v1_xboole_0(I)) )  &  ( ~ ( ( ~ (v1_xboole_0(J))  & v1_xboole_0(V)) )  &  ( ~ ( ( ~ (v1_xboole_0(V))  & v1_xboole_0(J)) )  &  ( ~ ( ( ~ (v1_xboole_0(K))  & v1_xboole_0(W)) )  &  ( ~ ( ( ~ (v1_xboole_0(W))  & v1_xboole_0(K)) )  &  ( ~ ( ( ~ (v1_xboole_0(L))  & v1_xboole_0(Y)) )  &  ( ~ ( ( ~ (v1_xboole_0(Y))  & v1_xboole_0(L)) )  &  ~ ( ( ~ ( ( ~ (v1_xboole_0(G))  & v1_xboole_0(k5_gate_5(A, B, C, D, E))) )  &  ( ~ ( ( ~ (v1_xboole_0(k5_gate_5(A, B, C, D, E)))  & v1_xboole_0(G)) )  &  ( ~ ( ( ~ (v1_xboole_0(H))  & v1_xboole_0(k6_gate_5(A, B, C, D, E))) )  &  ( ~ ( ( ~ (v1_xboole_0(k6_gate_5(A, B, C, D, E)))  & v1_xboole_0(H)) )  &  ( ~ ( ( ~ (v1_xboole_0(I))  & v1_xboole_0(k10_gate_5(A, B, C, D, E, F))) )  &  ( ~ ( ( ~ (v1_xboole_0(k10_gate_5(A, B, C, D, E, F)))  & v1_xboole_0(I)) )  &  ( ~ ( ( ~ (v1_xboole_0(J))  & v1_xboole_0(k11_gate_5(A, B, C, D, E, F))) )  &  ( ~ ( ( ~ (v1_xboole_0(k11_gate_5(A, B, C, D, E, F)))  & v1_xboole_0(J)) )  &  ( ~ ( ( ~ (v1_xboole_0(K))  & v1_xboole_0(k12_gate_5(A, B, C, D, E, F))) )  &  ( ~ ( ( ~ (v1_xboole_0(k12_gate_5(A, B, C, D, E, F)))  & v1_xboole_0(K)) )  &  ( ~ ( ( ~ (v1_xboole_0(L))  & v1_xboole_0(k13_gate_5(A, B, C, D, E, F))) )  &  ~ ( ( ~ (v1_xboole_0(k13_gate_5(A, B, C, D, E, F)))  & v1_xboole_0(L)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_gate_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  (! [J] :  (! [K] :  (! [L] :  (! [M] :  (! [N] :  (! [O] :  (! [P] :  (! [Q] :  (! [R] :  (! [S] :  (! [T] :  (! [U] :  (! [V] :  (! [W] :  (! [X] :  (! [Y] :  ~ ( ( ~ ( ( ~ (v1_xboole_0(M))  & v1_xboole_0(k2_gate_1(A, D))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(A, D)))  & v1_xboole_0(M)) )  &  ( ~ ( ( ~ (v1_xboole_0(N))  & v1_xboole_0(k10_gate_1(k2_gate_1(B, D), k2_gate_1(A, E), k1_xboole_0))) )  &  ( ~ ( ( ~ (v1_xboole_0(k10_gate_1(k2_gate_1(B, D), k2_gate_1(A, E), k1_xboole_0)))  & v1_xboole_0(N)) )  &  ( ~ ( ( ~ (v1_xboole_0(Q))  & v1_xboole_0(k11_gate_1(k2_gate_1(B, D), k2_gate_1(A, E), k1_xboole_0))) )  &  ( ~ ( ( ~ (v1_xboole_0(k11_gate_1(k2_gate_1(B, D), k2_gate_1(A, E), k1_xboole_0)))  & v1_xboole_0(Q)) )  &  ( ~ ( ( ~ (v1_xboole_0(O))  & v1_xboole_0(k10_gate_1(k2_gate_1(C, D), k2_gate_1(B, E), k2_gate_1(A, F)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k10_gate_1(k2_gate_1(C, D), k2_gate_1(B, E), k2_gate_1(A, F))))  & v1_xboole_0(O)) )  &  ( ~ ( ( ~ (v1_xboole_0(R))  & v1_xboole_0(k11_gate_1(k2_gate_1(C, D), k2_gate_1(B, E), k2_gate_1(A, F)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k11_gate_1(k2_gate_1(C, D), k2_gate_1(B, E), k2_gate_1(A, F))))  & v1_xboole_0(R)) )  &  ( ~ ( ( ~ (v1_xboole_0(P))  & v1_xboole_0(k10_gate_1(k2_gate_1(C, E), k2_gate_1(B, F), k1_xboole_0))) )  &  ( ~ ( ( ~ (v1_xboole_0(k10_gate_1(k2_gate_1(C, E), k2_gate_1(B, F), k1_xboole_0)))  & v1_xboole_0(P)) )  &  ( ~ ( ( ~ (v1_xboole_0(S))  & v1_xboole_0(k11_gate_1(k2_gate_1(C, E), k2_gate_1(B, F), k1_xboole_0))) )  &  ( ~ ( ( ~ (v1_xboole_0(k11_gate_1(k2_gate_1(C, E), k2_gate_1(B, F), k1_xboole_0)))  & v1_xboole_0(S)) )  &  ( ~ ( ( ~ (v1_xboole_0(T))  & v1_xboole_0(k10_gate_1(O, Q, k1_xboole_0))) )  &  ( ~ ( ( ~ (v1_xboole_0(k10_gate_1(O, Q, k1_xboole_0)))  & v1_xboole_0(T)) )  &  ( ~ ( ( ~ (v1_xboole_0(W))  & v1_xboole_0(k11_gate_1(O, Q, k1_xboole_0))) )  &  ( ~ ( ( ~ (v1_xboole_0(k11_gate_1(O, Q, k1_xboole_0)))  & v1_xboole_0(W)) )  &  ( ~ ( ( ~ (v1_xboole_0(U))  & v1_xboole_0(k10_gate_1(P, R, W))) )  &  ( ~ ( ( ~ (v1_xboole_0(k10_gate_1(P, R, W)))  & v1_xboole_0(U)) )  &  ( ~ ( ( ~ (v1_xboole_0(X))  & v1_xboole_0(k11_gate_1(P, R, W))) )  &  ( ~ ( ( ~ (v1_xboole_0(k11_gate_1(P, R, W)))  & v1_xboole_0(X)) )  &  ( ~ ( ( ~ (v1_xboole_0(V))  & v1_xboole_0(k10_gate_1(k2_gate_1(C, F), S, X))) )  &  ( ~ ( ( ~ (v1_xboole_0(k10_gate_1(k2_gate_1(C, F), S, X)))  & v1_xboole_0(V)) )  &  ( ~ ( ( ~ (v1_xboole_0(Y))  & v1_xboole_0(k11_gate_1(k2_gate_1(C, F), S, X))) )  &  ( ~ ( ( ~ (v1_xboole_0(k11_gate_1(k2_gate_1(C, F), S, X)))  & v1_xboole_0(Y)) )  &  ( ~ ( ( ~ (v1_xboole_0(G))  & v1_xboole_0(M)) )  &  ( ~ ( ( ~ (v1_xboole_0(M))  & v1_xboole_0(G)) )  &  ( ~ ( ( ~ (v1_xboole_0(H))  & v1_xboole_0(N)) )  &  ( ~ ( ( ~ (v1_xboole_0(N))  & v1_xboole_0(H)) )  &  ( ~ ( ( ~ (v1_xboole_0(I))  & v1_xboole_0(T)) )  &  ( ~ ( ( ~ (v1_xboole_0(T))  & v1_xboole_0(I)) )  &  ( ~ ( ( ~ (v1_xboole_0(J))  & v1_xboole_0(U)) )  &  ( ~ ( ( ~ (v1_xboole_0(U))  & v1_xboole_0(J)) )  &  ( ~ ( ( ~ (v1_xboole_0(K))  & v1_xboole_0(V)) )  &  ( ~ ( ( ~ (v1_xboole_0(V))  & v1_xboole_0(K)) )  &  ( ~ ( ( ~ (v1_xboole_0(L))  & v1_xboole_0(Y)) )  &  ( ~ ( ( ~ (v1_xboole_0(Y))  & v1_xboole_0(L)) )  &  ~ ( ( ~ ( ( ~ (v1_xboole_0(G))  & v1_xboole_0(k5_gate_5(A, B, C, D, E))) )  &  ( ~ ( ( ~ (v1_xboole_0(k5_gate_5(A, B, C, D, E)))  & v1_xboole_0(G)) )  &  ( ~ ( ( ~ (v1_xboole_0(H))  & v1_xboole_0(k6_gate_5(A, B, C, D, E))) )  &  ( ~ ( ( ~ (v1_xboole_0(k6_gate_5(A, B, C, D, E)))  & v1_xboole_0(H)) )  &  ( ~ ( ( ~ (v1_xboole_0(I))  & v1_xboole_0(k10_gate_5(A, B, C, D, E, F))) )  &  ( ~ ( ( ~ (v1_xboole_0(k10_gate_5(A, B, C, D, E, F)))  & v1_xboole_0(I)) )  &  ( ~ ( ( ~ (v1_xboole_0(J))  & v1_xboole_0(k11_gate_5(A, B, C, D, E, F))) )  &  ( ~ ( ( ~ (v1_xboole_0(k11_gate_5(A, B, C, D, E, F)))  & v1_xboole_0(J)) )  &  ( ~ ( ( ~ (v1_xboole_0(K))  & v1_xboole_0(k12_gate_5(A, B, C, D, E, F))) )  &  ( ~ ( ( ~ (v1_xboole_0(k12_gate_5(A, B, C, D, E, F)))  & v1_xboole_0(K)) )  &  ( ~ ( ( ~ (v1_xboole_0(L))  & v1_xboole_0(k13_gate_5(A, B, C, D, E, F))) )  &  ~ ( ( ~ (v1_xboole_0(k13_gate_5(A, B, C, D, E, F)))  & v1_xboole_0(L)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_gate_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k14_gate_5(A, B, C, D, E)=k10_gate_1(C, D, k11_gate_1(A, B, E))) ) ) ) ) ).
fof(d15_gate_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k15_gate_5(A, B, C, D, E)=k3_gate_1(k2_gate_1(C, D), k2_gate_1(k3_gate_1(C, D), k11_gate_1(A, B, E)))) ) ) ) ) ).
fof(d16_gate_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] : k16_gate_5(A, B, C, D, E, F, G)=k10_gate_1(E, F, k15_gate_5(A, B, C, D, G))) ) ) ) ) ) ) ).
fof(d17_gate_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] : k17_gate_5(A, B, C, D, E, F, G)=k9_gate_1(k2_gate_1(E, F), k2_gate_1(k3_gate_1(E, F), k2_gate_1(C, D)), k8_gate_1(k3_gate_1(E, F), k3_gate_1(C, D), k11_gate_1(A, B, G)))) ) ) ) ) ) ) ).
fof(d18_gate_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] : k18_gate_5(A, B, C, D, E, F, G, H, I)=k10_gate_1(G, H, k17_gate_5(A, B, C, D, E, F, I))) ) ) ) ) ) ) ) ) ).
fof(d19_gate_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] : k19_gate_5(A, B, C, D, E, F, G, H, I)=k15_gate_1(k2_gate_1(G, H), k2_gate_1(k3_gate_1(G, H), k2_gate_1(E, F)), k8_gate_1(k3_gate_1(G, H), k3_gate_1(E, F), k2_gate_1(C, D)), k14_gate_1(k3_gate_1(G, H), k3_gate_1(E, F), k3_gate_1(C, D), k11_gate_1(A, B, I)))) ) ) ) ) ) ) ) ) ).
fof(t4_gate_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  (! [J] :  (! [K] :  (! [L] :  (! [M] :  (! [N] :  (! [O] :  (! [P] :  (! [Q] :  (! [R] :  (! [S] :  ~ ( ( ~ ( ( ~ (v1_xboole_0(M))  & v1_xboole_0(k2_gate_1(A, D))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(A, D)))  & v1_xboole_0(M)) )  &  ( ~ ( ( ~ (v1_xboole_0(N))  & v1_xboole_0(k10_gate_1(k2_gate_1(B, D), k2_gate_1(A, E), k1_xboole_0))) )  &  ( ~ ( ( ~ (v1_xboole_0(k10_gate_1(k2_gate_1(B, D), k2_gate_1(A, E), k1_xboole_0)))  & v1_xboole_0(N)) )  &  ( ~ ( ( ~ (v1_xboole_0(Q))  & v1_xboole_0(k11_gate_1(k2_gate_1(B, D), k2_gate_1(A, E), k1_xboole_0))) )  &  ( ~ ( ( ~ (v1_xboole_0(k11_gate_1(k2_gate_1(B, D), k2_gate_1(A, E), k1_xboole_0)))  & v1_xboole_0(Q)) )  &  ( ~ ( ( ~ (v1_xboole_0(O))  & v1_xboole_0(k10_gate_1(k2_gate_1(C, D), k2_gate_1(B, E), k2_gate_1(A, F)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k10_gate_1(k2_gate_1(C, D), k2_gate_1(B, E), k2_gate_1(A, F))))  & v1_xboole_0(O)) )  &  ( ~ ( ( ~ (v1_xboole_0(R))  & v1_xboole_0(k11_gate_1(k2_gate_1(C, D), k2_gate_1(B, E), k2_gate_1(A, F)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k11_gate_1(k2_gate_1(C, D), k2_gate_1(B, E), k2_gate_1(A, F))))  & v1_xboole_0(R)) )  &  ( ~ ( ( ~ (v1_xboole_0(P))  & v1_xboole_0(k10_gate_1(k2_gate_1(C, E), k2_gate_1(B, F), k1_xboole_0))) )  &  ( ~ ( ( ~ (v1_xboole_0(k10_gate_1(k2_gate_1(C, E), k2_gate_1(B, F), k1_xboole_0)))  & v1_xboole_0(P)) )  &  ( ~ ( ( ~ (v1_xboole_0(S))  & v1_xboole_0(k11_gate_1(k2_gate_1(C, E), k2_gate_1(B, F), k1_xboole_0))) )  &  ( ~ ( ( ~ (v1_xboole_0(k11_gate_1(k2_gate_1(C, E), k2_gate_1(B, F), k1_xboole_0)))  & v1_xboole_0(S)) )  &  ( ~ ( ( ~ (v1_xboole_0(G))  & v1_xboole_0(M)) )  &  ( ~ ( ( ~ (v1_xboole_0(M))  & v1_xboole_0(G)) )  &  ( ~ ( ( ~ (v1_xboole_0(H))  & v1_xboole_0(N)) )  &  ( ~ ( ( ~ (v1_xboole_0(N))  & v1_xboole_0(H)) )  &  ( ~ ( ( ~ (v1_xboole_0(I))  & v1_xboole_0(k10_gate_1(O, Q, k1_xboole_0))) )  &  ( ~ ( ( ~ (v1_xboole_0(k10_gate_1(O, Q, k1_xboole_0)))  & v1_xboole_0(I)) )  &  ( ~ ( ( ~ (v1_xboole_0(J))  & v1_xboole_0(k14_gate_5(O, Q, P, R, k1_xboole_0))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_5(O, Q, P, R, k1_xboole_0)))  & v1_xboole_0(J)) )  &  ( ~ ( ( ~ (v1_xboole_0(K))  & v1_xboole_0(k16_gate_5(O, Q, P, R, k2_gate_1(C, F), S, k1_xboole_0))) )  &  ( ~ ( ( ~ (v1_xboole_0(k16_gate_5(O, Q, P, R, k2_gate_1(C, F), S, k1_xboole_0)))  & v1_xboole_0(K)) )  &  ( ~ ( ( ~ (v1_xboole_0(L))  & v1_xboole_0(k17_gate_5(O, Q, P, R, k2_gate_1(C, F), S, k1_xboole_0))) )  &  ( ~ ( ( ~ (v1_xboole_0(k17_gate_5(O, Q, P, R, k2_gate_1(C, F), S, k1_xboole_0)))  & v1_xboole_0(L)) )  &  ~ ( ( ~ ( ( ~ (v1_xboole_0(G))  & v1_xboole_0(k5_gate_5(A, B, C, D, E))) )  &  ( ~ ( ( ~ (v1_xboole_0(k5_gate_5(A, B, C, D, E)))  & v1_xboole_0(G)) )  &  ( ~ ( ( ~ (v1_xboole_0(H))  & v1_xboole_0(k6_gate_5(A, B, C, D, E))) )  &  ( ~ ( ( ~ (v1_xboole_0(k6_gate_5(A, B, C, D, E)))  & v1_xboole_0(H)) )  &  ( ~ ( ( ~ (v1_xboole_0(I))  & v1_xboole_0(k10_gate_5(A, B, C, D, E, F))) )  &  ( ~ ( ( ~ (v1_xboole_0(k10_gate_5(A, B, C, D, E, F)))  & v1_xboole_0(I)) )  &  ( ~ ( ( ~ (v1_xboole_0(J))  & v1_xboole_0(k11_gate_5(A, B, C, D, E, F))) )  &  ( ~ ( ( ~ (v1_xboole_0(k11_gate_5(A, B, C, D, E, F)))  & v1_xboole_0(J)) )  &  ( ~ ( ( ~ (v1_xboole_0(K))  & v1_xboole_0(k12_gate_5(A, B, C, D, E, F))) )  &  ( ~ ( ( ~ (v1_xboole_0(k12_gate_5(A, B, C, D, E, F)))  & v1_xboole_0(K)) )  &  ( ~ ( ( ~ (v1_xboole_0(L))  & v1_xboole_0(k13_gate_5(A, B, C, D, E, F))) )  &  ~ ( ( ~ (v1_xboole_0(k13_gate_5(A, B, C, D, E, F)))  & v1_xboole_0(L)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_gaussint, axiom,  (! [A] :  (v1_int_1(A) =>  (v1_int_1(A) & v1_gaussint(A)) ) ) ).
fof(fc1_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v1_gaussint(A))  => v1_int_1(k1_complex1(A))) ) ).
fof(fc2_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v1_gaussint(A))  => v1_int_1(k2_complex1(A))) ) ).
fof(fc3_gaussint, axiom,  (! [A, B] :  ( ( (v1_xcmplx_0(A) & v1_gaussint(A))  &  (v1_xcmplx_0(B) & v1_gaussint(B)) )  => v1_gaussint(k2_xcmplx_0(A, B))) ) ).
fof(fc4_gaussint, axiom,  (! [A, B] :  ( ( (v1_xcmplx_0(A) & v1_gaussint(A))  &  (v1_xcmplx_0(B) & v1_gaussint(B)) )  => v1_gaussint(k6_xcmplx_0(A, B))) ) ).
fof(fc5_gaussint, axiom,  (! [A, B] :  ( ( (v1_xcmplx_0(A) & v1_gaussint(A))  &  (v1_xcmplx_0(B) & v1_gaussint(B)) )  => v1_gaussint(k3_xcmplx_0(A, B))) ) ).
fof(fc6_gaussint, axiom, v1_gaussint(k1_xcmplx_0)).
fof(fc7_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v1_gaussint(A))  =>  (v1_xcmplx_0(k4_xcmplx_0(A)) & v1_gaussint(k4_xcmplx_0(A))) ) ) ).
fof(fc8_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v1_gaussint(A))  =>  (v1_xcmplx_0(k8_complex1(A)) & v1_gaussint(k8_complex1(A))) ) ) ).
fof(fc9_gaussint, axiom,  (! [A, B] :  ( ( (v1_xcmplx_0(A) & v1_gaussint(A))  & v1_int_1(B))  => v1_gaussint(k3_xcmplx_0(B, A))) ) ).
fof(fc10_gaussint, axiom,  ~ (v1_xboole_0(k1_gaussint)) ).
fof(rd1_gaussint, axiom,  (! [A] :  (v1_int_1(A) => k10_subset_1(A, k1_gaussint)=A) ) ).
fof(fc11_gaussint, axiom,  ( ~ (v2_struct_0(k5_gaussint))  &  (v13_algstr_0(k5_gaussint) &  (v2_rlvect_1(k5_gaussint) &  (v3_rlvect_1(k5_gaussint) &  (v4_rlvect_1(k5_gaussint) &  (v7_vectsp_1(k5_gaussint, k1_int_3) &  (v8_vectsp_1(k5_gaussint, k1_int_3) &  (v9_vectsp_1(k5_gaussint, k1_int_3) &  (v10_vectsp_1(k5_gaussint, k1_int_3) & v11_vectsp_1(k5_gaussint, k1_int_3)) ) ) ) ) ) ) ) ) ).
fof(fc12_gaussint, axiom,  ( ~ (v2_struct_0(k6_gaussint))  &  (v13_algstr_0(k6_gaussint) &  (v36_algstr_0(k6_gaussint) &  (v3_group_1(k6_gaussint) &  (v2_rlvect_1(k6_gaussint) &  (v3_rlvect_1(k6_gaussint) &  (v4_rlvect_1(k6_gaussint) &  (v4_vectsp_1(k6_gaussint) & v5_vectsp_1(k6_gaussint)) ) ) ) ) ) ) ) ).
fof(fc13_gaussint, axiom,  ( ~ (v2_struct_0(k6_gaussint))  &  (v36_algstr_0(k6_gaussint) & v1_vectsp_2(k6_gaussint)) ) ).
fof(fc14_gaussint, axiom,  ( ~ (v2_struct_0(k6_gaussint))  &  (v36_algstr_0(k6_gaussint) & v5_group_1(k6_gaussint)) ) ).
fof(rc1_gaussint, axiom,  (? [A] :  (l1_polyalg1(A, k1_int_3) &  ~ (v2_struct_0(A)) ) ) ).
fof(fc15_gaussint, axiom,  ( ~ (v2_struct_0(g1_polyalg1(k1_int_3, k1_gaussint, k2_gaussint, k3_gaussint, k10_subset_1(k5_numbers, k1_gaussint), k10_subset_1(1, k1_gaussint), k4_gaussint)))  & v1_polyalg1(g1_polyalg1(k1_int_3, k1_gaussint, k2_gaussint, k3_gaussint, k10_subset_1(k5_numbers, k1_gaussint), k10_subset_1(1, k1_gaussint), k4_gaussint), k1_int_3)) ).
fof(fc16_gaussint, axiom,  (v13_algstr_0(g1_polyalg1(k1_int_3, k1_gaussint, k2_gaussint, k3_gaussint, k10_subset_1(k5_numbers, k1_gaussint), k10_subset_1(1, k1_gaussint), k4_gaussint)) &  (v3_group_1(g1_polyalg1(k1_int_3, k1_gaussint, k2_gaussint, k3_gaussint, k10_subset_1(k5_numbers, k1_gaussint), k10_subset_1(1, k1_gaussint), k4_gaussint)) &  (v5_group_1(g1_polyalg1(k1_int_3, k1_gaussint, k2_gaussint, k3_gaussint, k10_subset_1(k5_numbers, k1_gaussint), k10_subset_1(1, k1_gaussint), k4_gaussint)) &  (v2_rlvect_1(g1_polyalg1(k1_int_3, k1_gaussint, k2_gaussint, k3_gaussint, k10_subset_1(k5_numbers, k1_gaussint), k10_subset_1(1, k1_gaussint), k4_gaussint)) &  (v3_rlvect_1(g1_polyalg1(k1_int_3, k1_gaussint, k2_gaussint, k3_gaussint, k10_subset_1(k5_numbers, k1_gaussint), k10_subset_1(1, k1_gaussint), k4_gaussint)) &  (v4_rlvect_1(g1_polyalg1(k1_int_3, k1_gaussint, k2_gaussint, k3_gaussint, k10_subset_1(k5_numbers, k1_gaussint), k10_subset_1(1, k1_gaussint), k4_gaussint)) &  (v1_vectsp_1(g1_polyalg1(k1_int_3, k1_gaussint, k2_gaussint, k3_gaussint, k10_subset_1(k5_numbers, k1_gaussint), k10_subset_1(1, k1_gaussint), k4_gaussint)) &  (v3_vectsp_1(g1_polyalg1(k1_int_3, k1_gaussint, k2_gaussint, k3_gaussint, k10_subset_1(k5_numbers, k1_gaussint), k10_subset_1(1, k1_gaussint), k4_gaussint)) &  (v8_vectsp_1(g1_polyalg1(k1_int_3, k1_gaussint, k2_gaussint, k3_gaussint, k10_subset_1(k5_numbers, k1_gaussint), k10_subset_1(1, k1_gaussint), k4_gaussint), k1_int_3) &  (v9_vectsp_1(g1_polyalg1(k1_int_3, k1_gaussint, k2_gaussint, k3_gaussint, k10_subset_1(k5_numbers, k1_gaussint), k10_subset_1(1, k1_gaussint), k4_gaussint), k1_int_3) &  (v10_vectsp_1(g1_polyalg1(k1_int_3, k1_gaussint, k2_gaussint, k3_gaussint, k10_subset_1(k5_numbers, k1_gaussint), k10_subset_1(1, k1_gaussint), k4_gaussint), k1_int_3) &  (v1_polyalg1(g1_polyalg1(k1_int_3, k1_gaussint, k2_gaussint, k3_gaussint, k10_subset_1(k5_numbers, k1_gaussint), k10_subset_1(1, k1_gaussint), k4_gaussint), k1_int_3) & v2_polyalg1(g1_polyalg1(k1_int_3, k1_gaussint, k2_gaussint, k3_gaussint, k10_subset_1(k5_numbers, k1_gaussint), k10_subset_1(1, k1_gaussint), k4_gaussint), k1_int_3)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_gaussint, axiom,  (? [A] :  (l1_polyalg1(A, k1_int_3) &  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v8_vectsp_1(A, k1_int_3) &  (v9_vectsp_1(A, k1_int_3) &  (v10_vectsp_1(A, k1_int_3) &  (v1_polyalg1(A, k1_int_3) & v2_polyalg1(A, k1_int_3)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc17_gaussint, axiom, v5_card_3(k4_numbers)).
fof(fc18_gaussint, axiom, v5_card_3(k1_gaussint)).
fof(fc19_gaussint, axiom,  ( ~ (v2_struct_0(k6_gaussint))  &  ( ~ (v6_struct_0(k6_gaussint))  & v36_algstr_0(k6_gaussint)) ) ).
fof(fc20_gaussint, axiom,  ( ~ (v2_struct_0(k7_gaussint))  &  ( ~ (v6_struct_0(k7_gaussint))  &  (v33_algstr_0(k7_gaussint) &  (v36_algstr_0(k7_gaussint) &  (v3_group_1(k7_gaussint) &  (v2_rlvect_1(k7_gaussint) & v5_vectsp_1(k7_gaussint)) ) ) ) ) ) ).
fof(cc2_gaussint, axiom,  (! [A] :  (v1_rat_1(A) =>  (v1_rat_1(A) & v2_gaussint(A)) ) ) ).
fof(fc21_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v2_gaussint(A))  => v1_rat_1(k1_complex1(A))) ) ).
fof(fc22_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v2_gaussint(A))  => v1_rat_1(k2_complex1(A))) ) ).
fof(fc23_gaussint, axiom,  (! [A, B] :  ( ( (v1_xcmplx_0(A) & v2_gaussint(A))  &  (v1_xcmplx_0(B) & v2_gaussint(B)) )  => v2_gaussint(k2_xcmplx_0(A, B))) ) ).
fof(fc24_gaussint, axiom,  (! [A, B] :  ( ( (v1_xcmplx_0(A) & v2_gaussint(A))  &  (v1_xcmplx_0(B) & v2_gaussint(B)) )  => v2_gaussint(k6_xcmplx_0(A, B))) ) ).
fof(fc25_gaussint, axiom,  (! [A, B] :  ( ( (v1_xcmplx_0(A) & v2_gaussint(A))  &  (v1_xcmplx_0(B) & v2_gaussint(B)) )  => v2_gaussint(k3_xcmplx_0(A, B))) ) ).
fof(fc26_gaussint, axiom,  (! [A, B] :  ( ( (v1_xcmplx_0(A) & v2_gaussint(A))  & v1_rat_1(B))  => v2_gaussint(k3_xcmplx_0(B, A))) ) ).
fof(fc27_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v2_gaussint(A))  =>  (v1_xcmplx_0(k4_xcmplx_0(A)) & v2_gaussint(k4_xcmplx_0(A))) ) ) ).
fof(fc28_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v2_gaussint(A))  =>  (v1_xcmplx_0(k5_xcmplx_0(A)) & v2_gaussint(k5_xcmplx_0(A))) ) ) ).
fof(fc29_gaussint, axiom,  ~ (v1_xboole_0(k8_gaussint)) ).
fof(cc3_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v1_gaussint(A))  =>  (v1_xcmplx_0(A) &  (v1_gaussint(A) & v2_gaussint(A)) ) ) ) ).
fof(rd2_gaussint, axiom,  (! [A] :  (v1_int_1(A) => k10_subset_1(A, k3_numbers)=A) ) ).
fof(fc30_gaussint, axiom,  ( ~ (v2_struct_0(k11_gaussint))  &  ( ~ (v6_struct_0(k11_gaussint))  &  (v13_algstr_0(k11_gaussint) &  (v33_algstr_0(k11_gaussint) &  (v36_algstr_0(k11_gaussint) &  (v3_group_1(k11_gaussint) &  (v5_group_1(k11_gaussint) &  (v2_rlvect_1(k11_gaussint) &  (v3_rlvect_1(k11_gaussint) &  (v4_rlvect_1(k11_gaussint) &  (v3_vectsp_1(k11_gaussint) &  (v5_vectsp_1(k11_gaussint) & v6_vectsp_1(k11_gaussint)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc31_gaussint, axiom,  ( ~ (v2_struct_0(k11_gaussint))  &  (v36_algstr_0(k11_gaussint) & v4_vectsp_1(k11_gaussint)) ) ).
fof(cc4_gaussint, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k11_gaussint)) => v1_rat_1(A)) ) ).
fof(ie1_gaussint, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, u1_struct_0(k11_gaussint)) &  (m1_subset_1(B, u1_struct_0(k11_gaussint)) &  (v1_rat_1(C) & v1_rat_1(D)) ) )  =>  ( (A=C & B=D)  => k3_rlvect_1(k11_gaussint, A, B)=k2_xcmplx_0(C, D)) ) ) ).
fof(ie2_gaussint, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, u1_struct_0(k11_gaussint)) &  (m1_subset_1(B, u1_struct_0(k11_gaussint)) &  (v1_rat_1(C) & v1_rat_1(D)) ) )  =>  ( (A=C & B=D)  => k8_group_1(k11_gaussint, A, B)=k3_xcmplx_0(C, D)) ) ) ).
fof(ie3_gaussint, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k11_gaussint)) & v1_rat_1(B))  =>  (A=B => k4_algstr_0(k11_gaussint, A)=k4_xcmplx_0(B)) ) ) ).
fof(ie4_gaussint, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, u1_struct_0(k11_gaussint)) &  (m1_subset_1(B, u1_struct_0(k11_gaussint)) &  (v1_rat_1(C) & v1_rat_1(D)) ) )  =>  ( (A=C & B=D)  => k5_algstr_0(k11_gaussint, A, B)=k6_xcmplx_0(C, D)) ) ) ).
fof(fc32_gaussint, axiom,  ( ~ (v2_struct_0(k11_gaussint))  &  (v36_algstr_0(k11_gaussint) & v1_ec_pf_1(k11_gaussint)) ) ).
fof(rd3_gaussint, axiom,  (! [A] :  (v1_rat_1(A) => k10_subset_1(A, k8_gaussint)=A) ) ).
fof(fc33_gaussint, axiom,  ( ~ (v2_struct_0(k13_gaussint))  &  (v13_algstr_0(k13_gaussint) &  (v2_rlvect_1(k13_gaussint) &  (v3_rlvect_1(k13_gaussint) &  (v4_rlvect_1(k13_gaussint) &  (v7_vectsp_1(k13_gaussint, k11_gaussint) &  (v8_vectsp_1(k13_gaussint, k11_gaussint) &  (v9_vectsp_1(k13_gaussint, k11_gaussint) &  (v10_vectsp_1(k13_gaussint, k11_gaussint) & v11_vectsp_1(k13_gaussint, k11_gaussint)) ) ) ) ) ) ) ) ) ).
fof(fc34_gaussint, axiom,  ( ~ (v2_struct_0(k14_gaussint))  &  ( ~ (v6_struct_0(k14_gaussint))  &  (v13_algstr_0(k14_gaussint) &  (v33_algstr_0(k14_gaussint) &  (v36_algstr_0(k14_gaussint) &  (v3_group_1(k14_gaussint) &  (v5_group_1(k14_gaussint) &  (v2_rlvect_1(k14_gaussint) &  (v3_rlvect_1(k14_gaussint) &  (v4_rlvect_1(k14_gaussint) &  (v4_vectsp_1(k14_gaussint) & v5_vectsp_1(k14_gaussint)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc35_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v2_gaussint(A))  =>  ( ~ (v3_xxreal_0(k16_gaussint(A)))  & v1_rat_1(k16_gaussint(A))) ) ) ).
fof(fc36_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v1_gaussint(A))  =>  (v7_ordinal1(k16_gaussint(A)) & v1_rat_1(k16_gaussint(A))) ) ) ).
fof(fc37_gaussint, axiom,  ( ~ (v2_struct_0(k6_gaussint))  &  (v36_algstr_0(k6_gaussint) & v1_int_3(k6_gaussint)) ) ).
fof(t1_gaussint, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (k2_xcmplx_0(A, B)=1 &  ( ~ ( (A=1 & B=k5_numbers) )  &  ~ ( (A=k5_numbers & B=1) ) ) ) ) ) ) ) ) ).
fof(d1_gaussint, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (v1_gaussint(A) <=>  (r2_tarski(k3_complex1(A), k4_numbers) & r2_tarski(k4_complex1(A), k4_numbers)) ) ) ) ).
fof(t2_gaussint, axiom,  (! [A] :  (r2_hidden(A, k1_gaussint) =>  (v1_xcmplx_0(A) & v1_gaussint(A)) ) ) ).
fof(t3_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v1_gaussint(A))  => r2_hidden(A, k1_gaussint)) ) ).
fof(d3_gaussint, axiom, k2_gaussint=k1_realset1(k3_binop_2, k1_gaussint)).
fof(d4_gaussint, axiom, k3_gaussint=k1_realset1(k5_binop_2, k1_gaussint)).
fof(d5_gaussint, axiom, k4_gaussint=k2_partfun1(k2_zfmisc_1(k2_numbers, k2_numbers), k2_numbers, k5_binop_2, k2_zfmisc_1(u1_struct_0(k1_int_3), k1_gaussint))).
fof(t4_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v1_gaussint(A))  =>  (! [B] :  ( (v1_xcmplx_0(B) & v1_gaussint(B))  => k1_binop_1(k2_gaussint, A, B)=k2_xcmplx_0(A, B)) ) ) ) ).
fof(t5_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v1_gaussint(A))  =>  (! [B] :  (v1_int_1(B) => k1_binop_1(k4_gaussint, B, A)=k3_xcmplx_0(B, A)) ) ) ) ).
fof(d6_gaussint, axiom, k5_gaussint=g1_vectsp_1(k1_int_3, k1_gaussint, k2_gaussint, k10_subset_1(k5_numbers, k1_gaussint), k4_gaussint)).
fof(t6_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v1_gaussint(A))  =>  (! [B] :  ( (v1_xcmplx_0(B) & v1_gaussint(B))  => k1_binop_1(k3_gaussint, A, B)=k3_xcmplx_0(A, B)) ) ) ) ).
fof(d7_gaussint, axiom, k6_gaussint=g6_algstr_0(k1_gaussint, k2_gaussint, k3_gaussint, k10_subset_1(1, k1_gaussint), k10_subset_1(k5_numbers, k1_gaussint))).
fof(t7_gaussint, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k6_gaussint)) =>  (v1_xcmplx_0(A) & v1_gaussint(A)) ) ) ).
fof(t8_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v1_gaussint(A))  => m1_subset_1(A, u1_struct_0(k6_gaussint))) ) ).
fof(t9_gaussint, axiom,  ( ~ (v2_struct_0(g1_polyalg1(k1_int_3, k1_gaussint, k2_gaussint, k3_gaussint, k10_subset_1(k5_numbers, k1_gaussint), k10_subset_1(1, k1_gaussint), k4_gaussint)))  &  (v13_algstr_0(g1_polyalg1(k1_int_3, k1_gaussint, k2_gaussint, k3_gaussint, k10_subset_1(k5_numbers, k1_gaussint), k10_subset_1(1, k1_gaussint), k4_gaussint)) &  (v3_group_1(g1_polyalg1(k1_int_3, k1_gaussint, k2_gaussint, k3_gaussint, k10_subset_1(k5_numbers, k1_gaussint), k10_subset_1(1, k1_gaussint), k4_gaussint)) &  (v5_group_1(g1_polyalg1(k1_int_3, k1_gaussint, k2_gaussint, k3_gaussint, k10_subset_1(k5_numbers, k1_gaussint), k10_subset_1(1, k1_gaussint), k4_gaussint)) &  (v2_rlvect_1(g1_polyalg1(k1_int_3, k1_gaussint, k2_gaussint, k3_gaussint, k10_subset_1(k5_numbers, k1_gaussint), k10_subset_1(1, k1_gaussint), k4_gaussint)) &  (v3_rlvect_1(g1_polyalg1(k1_int_3, k1_gaussint, k2_gaussint, k3_gaussint, k10_subset_1(k5_numbers, k1_gaussint), k10_subset_1(1, k1_gaussint), k4_gaussint)) &  (v4_rlvect_1(g1_polyalg1(k1_int_3, k1_gaussint, k2_gaussint, k3_gaussint, k10_subset_1(k5_numbers, k1_gaussint), k10_subset_1(1, k1_gaussint), k4_gaussint)) &  (v1_vectsp_1(g1_polyalg1(k1_int_3, k1_gaussint, k2_gaussint, k3_gaussint, k10_subset_1(k5_numbers, k1_gaussint), k10_subset_1(1, k1_gaussint), k4_gaussint)) &  (v3_vectsp_1(g1_polyalg1(k1_int_3, k1_gaussint, k2_gaussint, k3_gaussint, k10_subset_1(k5_numbers, k1_gaussint), k10_subset_1(1, k1_gaussint), k4_gaussint)) &  (v8_vectsp_1(g1_polyalg1(k1_int_3, k1_gaussint, k2_gaussint, k3_gaussint, k10_subset_1(k5_numbers, k1_gaussint), k10_subset_1(1, k1_gaussint), k4_gaussint), k1_int_3) &  (v9_vectsp_1(g1_polyalg1(k1_int_3, k1_gaussint, k2_gaussint, k3_gaussint, k10_subset_1(k5_numbers, k1_gaussint), k10_subset_1(1, k1_gaussint), k4_gaussint), k1_int_3) &  (v10_vectsp_1(g1_polyalg1(k1_int_3, k1_gaussint, k2_gaussint, k3_gaussint, k10_subset_1(k5_numbers, k1_gaussint), k10_subset_1(1, k1_gaussint), k4_gaussint), k1_int_3) &  (v1_polyalg1(g1_polyalg1(k1_int_3, k1_gaussint, k2_gaussint, k3_gaussint, k10_subset_1(k5_numbers, k1_gaussint), k10_subset_1(1, k1_gaussint), k4_gaussint), k1_int_3) &  (v2_polyalg1(g1_polyalg1(k1_int_3, k1_gaussint, k2_gaussint, k3_gaussint, k10_subset_1(k5_numbers, k1_gaussint), k10_subset_1(1, k1_gaussint), k4_gaussint), k1_int_3) & l1_polyalg1(g1_polyalg1(k1_int_3, k1_gaussint, k2_gaussint, k3_gaussint, k10_subset_1(k5_numbers, k1_gaussint), k10_subset_1(1, k1_gaussint), k4_gaussint), k1_int_3)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_gaussint, axiom, k7_gaussint=k19_quofield(k6_gaussint)).
fof(d10_gaussint, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (v2_gaussint(A) <=>  (r2_tarski(k3_complex1(A), k3_numbers) & r2_tarski(k4_complex1(A), k3_numbers)) ) ) ) ).
fof(t10_gaussint, axiom,  (! [A] :  (r2_hidden(A, k8_gaussint) =>  (v1_xcmplx_0(A) & v2_gaussint(A)) ) ) ).
fof(t11_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v2_gaussint(A))  => r2_hidden(A, k8_gaussint)) ) ).
fof(t12_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v2_gaussint(A))  =>  (? [B] :  ( (v1_xcmplx_0(B) & v1_gaussint(B))  &  (? [C] :  ( (v1_xcmplx_0(C) & v1_gaussint(C))  &  ( ~ (C=k5_numbers)  & A=k7_xcmplx_0(B, C)) ) ) ) ) ) ) ).
fof(d12_gaussint, axiom, k9_gaussint=k1_realset1(k3_binop_2, k8_gaussint)).
fof(d13_gaussint, axiom, k10_gaussint=k1_realset1(k5_binop_2, k8_gaussint)).
fof(d14_gaussint, axiom, k11_gaussint=g6_algstr_0(k3_numbers, k15_binop_2, k17_binop_2, k10_subset_1(1, k3_numbers), k10_subset_1(k5_numbers, k3_numbers))).
fof(t13_gaussint, axiom,  (m1_subset_1(u1_struct_0(k11_gaussint), k1_zfmisc_1(u1_struct_0(k2_vectsp_1))) &  (u1_algstr_0(k11_gaussint)=k1_realset1(u1_algstr_0(k2_vectsp_1), u1_struct_0(k11_gaussint)) &  (u2_algstr_0(k11_gaussint)=k1_realset1(u2_algstr_0(k2_vectsp_1), u1_struct_0(k11_gaussint)) &  (k5_struct_0(k11_gaussint)=k5_struct_0(k2_vectsp_1) &  (k4_struct_0(k11_gaussint)=k4_struct_0(k2_vectsp_1) &  (v13_algstr_0(k11_gaussint) &  (v5_group_1(k11_gaussint) &  (v33_algstr_0(k11_gaussint) &  ~ (v6_struct_0(k11_gaussint)) ) ) ) ) ) ) ) ) ).
fof(t14_gaussint, axiom, m1_ec_pf_1(k11_gaussint, k2_vectsp_1)).
fof(t15_gaussint, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k11_gaussint)) =>  (! [B] :  (v1_rat_1(B) =>  (B=A =>  (A=k4_struct_0(k11_gaussint) | k9_algstr_0(k11_gaussint, A)=k5_xcmplx_0(B)) ) ) ) ) ) ).
fof(t16_gaussint, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k11_gaussint)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k11_gaussint)) =>  (! [C] :  (v1_rat_1(C) =>  (! [D] :  (v1_rat_1(D) =>  ( (C=A & D=B)  =>  (B=k4_struct_0(k11_gaussint) | k20_quofield(k11_gaussint, A, B)=k7_xcmplx_0(C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t17_gaussint, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ec_pf_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( (C=E & D=F)  => k3_rlvect_1(A, C, D)=k3_rlvect_1(B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_gaussint, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ec_pf_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( (C=E & D=F)  => k8_group_1(A, C, D)=k8_group_1(B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_gaussint, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ec_pf_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (C=D => k4_algstr_0(A, C)=k4_algstr_0(B, D)) ) ) ) ) ) ) ) ) ).
fof(t20_gaussint, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ec_pf_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( (C=E & D=F)  => k5_algstr_0(A, C, D)=k5_algstr_0(B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_gaussint, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ec_pf_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (C=E =>  (C=k4_struct_0(A) | k9_algstr_0(A, C)=k9_algstr_0(B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_gaussint, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ec_pf_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( (C=E & D=F)  =>  (D=k4_struct_0(A) | k20_quofield(A, C, D)=k20_quofield(B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_gaussint, axiom,  (! [A] :  (m1_ec_pf_1(A, k11_gaussint) => r1_tarski(k4_ordinal1, u1_struct_0(A))) ) ).
fof(t24_gaussint, axiom,  (! [A] :  (m1_ec_pf_1(A, k11_gaussint) => r1_tarski(k4_numbers, u1_struct_0(A))) ) ).
fof(t25_gaussint, axiom,  (! [A] :  (m1_ec_pf_1(A, k11_gaussint) => u1_struct_0(A)=u1_struct_0(k11_gaussint)) ) ).
fof(t26_gaussint, axiom,  (! [A] :  ( (v36_algstr_0(A) & m1_ec_pf_1(A, k11_gaussint))  => A=k11_gaussint) ) ).
fof(d15_gaussint, axiom, k12_gaussint=k2_partfun1(k2_zfmisc_1(k2_numbers, k2_numbers), k2_numbers, k5_binop_2, k2_zfmisc_1(u1_struct_0(k11_gaussint), k8_gaussint))).
fof(t27_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v2_gaussint(A))  =>  (! [B] :  ( (v1_xcmplx_0(B) & v2_gaussint(B))  => k1_binop_1(k9_gaussint, A, B)=k2_xcmplx_0(A, B)) ) ) ) ).
fof(t28_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v2_gaussint(A))  =>  (! [B] :  (m1_subset_1(B, k3_numbers) => k1_binop_1(k12_gaussint, B, A)=k3_xcmplx_0(B, A)) ) ) ) ).
fof(d16_gaussint, axiom, k13_gaussint=g1_vectsp_1(k11_gaussint, k8_gaussint, k9_gaussint, k10_subset_1(k5_numbers, k8_gaussint), k12_gaussint)).
fof(t29_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v2_gaussint(A))  =>  (! [B] :  ( (v1_xcmplx_0(B) & v2_gaussint(B))  => k1_binop_1(k10_gaussint, A, B)=k3_xcmplx_0(A, B)) ) ) ) ).
fof(d17_gaussint, axiom, k14_gaussint=g6_algstr_0(k8_gaussint, k9_gaussint, k10_gaussint, k10_subset_1(1, k8_gaussint), k10_subset_1(k5_numbers, k8_gaussint))).
fof(t30_gaussint, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k7_gaussint), u1_struct_0(k14_gaussint)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_gaussint), u1_struct_0(k14_gaussint))))) )  &  ( (! [B] :  ~ ( (r2_hidden(B, u1_struct_0(k7_gaussint)) &  (! [C] :  ( (v1_xcmplx_0(C) & v1_gaussint(C))  =>  (! [D] :  ( (v1_xcmplx_0(D) & v1_gaussint(D))  =>  (! [E] :  (m2_subset_1(E, k2_zfmisc_1(u1_struct_0(k6_gaussint), u1_struct_0(k6_gaussint)), k1_quofield(k6_gaussint)) =>  ~ ( ( ~ (D=k5_numbers)  &  (E=k4_tarski(C, D) &  (B=k10_quofield(k6_gaussint, E) & k1_funct_1(A, B)=k7_xcmplx_0(C, D)) ) ) ) ) ) ) ) ) ) ) ) )  &  (v2_funct_1(A) &  (v2_funct_2(A, u1_struct_0(k14_gaussint)) &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(k7_gaussint)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_gaussint)) =>  (k3_funct_2(u1_struct_0(k7_gaussint), u1_struct_0(k14_gaussint), A, k3_rlvect_1(k7_gaussint, B, C))=k3_rlvect_1(k14_gaussint, k3_funct_2(u1_struct_0(k7_gaussint), u1_struct_0(k14_gaussint), A, B), k3_funct_2(u1_struct_0(k7_gaussint), u1_struct_0(k14_gaussint), A, C)) & k3_funct_2(u1_struct_0(k7_gaussint), u1_struct_0(k14_gaussint), A, k6_algstr_0(k7_gaussint, B, C))=k8_group_1(k14_gaussint, k3_funct_2(u1_struct_0(k7_gaussint), u1_struct_0(k14_gaussint), A, B), k3_funct_2(u1_struct_0(k7_gaussint), u1_struct_0(k14_gaussint), A, C))) ) ) ) )  &  (k3_funct_2(u1_struct_0(k7_gaussint), u1_struct_0(k14_gaussint), A, k4_struct_0(k7_gaussint))=k4_struct_0(k14_gaussint) & k3_funct_2(u1_struct_0(k7_gaussint), u1_struct_0(k14_gaussint), A, k5_struct_0(k7_gaussint))=k5_struct_0(k14_gaussint)) ) ) ) ) ) ) ).
fof(d18_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v1_gaussint(A))  =>  (! [B] :  ( (v1_xcmplx_0(B) & v1_gaussint(B))  =>  (r1_gaussint(A, B) <=>  (? [C] :  ( (v1_xcmplx_0(C) & v1_gaussint(C))  & B=k3_xcmplx_0(A, C)) ) ) ) ) ) ) ).
fof(t31_gaussint, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k6_gaussint)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k6_gaussint)) =>  (! [C] :  ( (v1_xcmplx_0(C) & v1_gaussint(C))  =>  (! [D] :  ( (v1_xcmplx_0(D) & v1_gaussint(D))  =>  ( (A=C &  (B=D & r2_gcd_1(k6_gaussint, A, B)) )  => r1_gaussint(C, D)) ) ) ) ) ) ) ) ) ).
fof(t32_gaussint, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k6_gaussint)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k6_gaussint)) =>  (! [C] :  ( (v1_xcmplx_0(C) & v1_gaussint(C))  =>  (! [D] :  ( (v1_xcmplx_0(D) & v1_gaussint(D))  =>  ( (A=C &  (B=D & r1_gaussint(C, D)) )  => r2_gcd_1(k6_gaussint, A, B)) ) ) ) ) ) ) ) ) ).
fof(d19_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v2_gaussint(A))  => k16_gaussint(A)=k3_xcmplx_0(A, k15_gaussint(A))) ) ).
fof(t33_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v2_gaussint(A))  => k16_gaussint(k15_gaussint(A))=k16_gaussint(A)) ) ).
fof(t34_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v2_gaussint(A))  =>  (! [B] :  ( (v1_xcmplx_0(B) & v2_gaussint(B))  => k16_gaussint(k3_xcmplx_0(A, B))=k3_xcmplx_0(k16_gaussint(A), k16_gaussint(B))) ) ) ) ).
fof(t35_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v1_gaussint(A))  =>  (k16_gaussint(A)=1 <=>  ~ ( ( ~ (A=1)  &  ( ~ (A=k4_xcmplx_0(1))  &  ( ~ (A=k7_complex1)  &  ~ (A=k4_xcmplx_0(k7_complex1)) ) ) ) ) ) ) ) ).
fof(t36_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v1_gaussint(A))  =>  (k16_gaussint(A)=k5_numbers => A=k5_numbers) ) ) ).
fof(d20_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v1_gaussint(A))  =>  (v3_gaussint(A) <=> k16_gaussint(A)=1) ) ) ).
fof(d21_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v1_gaussint(A))  =>  (! [B] :  ( (v1_xcmplx_0(B) & v1_gaussint(B))  =>  (r2_gaussint(A, B) <=>  (r1_gaussint(A, B) & r1_gaussint(B, A)) ) ) ) ) ) ).
fof(t37_gaussint, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k6_gaussint)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k6_gaussint)) =>  (! [C] :  ( (v1_xcmplx_0(C) & v1_gaussint(C))  =>  (! [D] :  ( (v1_xcmplx_0(D) & v1_gaussint(D))  =>  ( (A=C &  (B=D & r4_gcd_1(k6_gaussint, A, B)) )  => r2_gaussint(C, D)) ) ) ) ) ) ) ) ) ).
fof(t38_gaussint, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k6_gaussint)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k6_gaussint)) =>  (! [C] :  ( (v1_xcmplx_0(C) & v1_gaussint(C))  =>  (! [D] :  ( (v1_xcmplx_0(D) & v1_gaussint(D))  =>  ( (A=C &  (B=D & r2_gaussint(C, D)) )  => r4_gcd_1(k6_gaussint, A, B)) ) ) ) ) ) ) ) ) ).
fof(t39_gaussint, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k6_gaussint)) =>  (! [B] :  ( (v1_xcmplx_0(B) & v1_gaussint(B))  =>  (B=A =>  (v1_gcd_1(A, k6_gaussint) <=> v3_gaussint(B)) ) ) ) ) ) ).
fof(t40_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v1_gaussint(A))  =>  (! [B] :  ( (v1_xcmplx_0(B) & v1_gaussint(B))  =>  (r2_gaussint(A, B) <=>  (? [C] :  ( (v1_xcmplx_0(C) & v1_gaussint(C))  &  (v3_gaussint(C) & A=k3_xcmplx_0(C, B)) ) ) ) ) ) ) ) ).
fof(t41_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v1_gaussint(A))  =>  ~ ( ( ~ (k3_complex1(A)=k5_numbers)  &  ( ~ (k4_complex1(A)=k5_numbers)  &  ( ~ (k3_complex1(A)=k4_complex1(A))  &  ( ~ (k4_xcmplx_0(k3_complex1(A))=k4_complex1(A))  & r2_gaussint(k15_gaussint(A), A)) ) ) ) ) ) ) ).
fof(t42_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v1_gaussint(A))  =>  (! [B] :  ( (v1_xcmplx_0(B) & v1_gaussint(B))  =>  (! [C] :  ( (v1_xcmplx_0(C) & v1_gaussint(C))  =>  ( (r2_gaussint(A, B) & r2_gaussint(B, C))  => r2_gaussint(A, C)) ) ) ) ) ) ) ).
fof(t43_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v1_gaussint(A))  =>  (! [B] :  ( (v1_xcmplx_0(B) & v1_gaussint(B))  =>  (r2_gaussint(A, B) => r2_gaussint(k15_gaussint(A), k15_gaussint(B))) ) ) ) ) ).
fof(t44_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v1_gaussint(A))  =>  (! [B] :  ( (v1_xcmplx_0(B) & v1_gaussint(B))  =>  (r2_gaussint(k15_gaussint(A), B) =>  (k3_complex1(B)=k5_numbers |  (k4_complex1(B)=k5_numbers |  (k3_complex1(B)=k4_complex1(B) |  (k4_xcmplx_0(k3_complex1(B))=k4_complex1(B) |  ( ~ (r1_gaussint(A, B))  &  ~ (r1_gaussint(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(d22_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v1_gaussint(A))  =>  (v4_gaussint(A) <=>  ( ~ (r1_xxreal_0(k16_gaussint(A), 1))  &  (! [B] :  ( (v1_xcmplx_0(B) & v1_gaussint(B))  =>  ~ ( (r1_gaussint(B, A) &  ( ~ (v3_gaussint(B))  &  ~ (r2_gaussint(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(t45_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v1_gaussint(A))  =>  ( (v7_ordinal1(k16_gaussint(A)) & v1_int_2(k16_gaussint(A)))  =>  (k16_gaussint(A)=2 |  ( ~ (k3_complex1(A)=k5_numbers)  &  ( ~ (k4_complex1(A)=k5_numbers)  &  ( ~ (k3_complex1(A)=k4_complex1(A))  &  ~ (k4_xcmplx_0(k3_complex1(A))=k4_complex1(A)) ) ) ) ) ) ) ) ).
fof(t46_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v1_gaussint(A))  =>  ( (v7_ordinal1(k16_gaussint(A)) & v1_int_2(k16_gaussint(A)))  => v4_gaussint(A)) ) ) ).
fof(t47_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v2_gaussint(A))  => k16_gaussint(A)=k2_xcmplx_0(k1_square_1(k9_complex1(k3_complex1(A))), k1_square_1(k9_complex1(k4_complex1(A))))) ) ).
fof(t48_gaussint, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (? [B] :  (m1_subset_1(B, k4_numbers) & r1_xxreal_0(k9_complex1(k6_xcmplx_0(A, B)), k7_xcmplx_0(1, 2))) ) ) ) ).
fof(dt_k1_gaussint, axiom, m1_subset_1(k1_gaussint, k1_zfmisc_1(k2_numbers))).
fof(dt_k2_gaussint, axiom,  (v1_funct_1(k2_gaussint) &  (v1_funct_2(k2_gaussint, k2_zfmisc_1(k1_gaussint, k1_gaussint), k1_gaussint) & m1_subset_1(k2_gaussint, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_gaussint, k1_gaussint), k1_gaussint)))) ) ).
fof(dt_k3_gaussint, axiom,  (v1_funct_1(k3_gaussint) &  (v1_funct_2(k3_gaussint, k2_zfmisc_1(k1_gaussint, k1_gaussint), k1_gaussint) & m1_subset_1(k3_gaussint, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_gaussint, k1_gaussint), k1_gaussint)))) ) ).
fof(dt_k4_gaussint, axiom,  (v1_funct_1(k4_gaussint) &  (v1_funct_2(k4_gaussint, k2_zfmisc_1(u1_struct_0(k1_int_3), k1_gaussint), k1_gaussint) & m1_subset_1(k4_gaussint, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_int_3), k1_gaussint), k1_gaussint)))) ) ).
fof(dt_k5_gaussint, axiom,  ( ~ (v2_struct_0(k5_gaussint))  &  (v7_vectsp_1(k5_gaussint, k1_int_3) & l1_vectsp_1(k5_gaussint, k1_int_3)) ) ).
fof(dt_k6_gaussint, axiom,  ( ~ (v2_struct_0(k6_gaussint))  &  (v36_algstr_0(k6_gaussint) & l6_algstr_0(k6_gaussint)) ) ).
fof(dt_k7_gaussint, axiom,  ( ~ (v2_struct_0(k7_gaussint))  &  (v36_algstr_0(k7_gaussint) & l6_algstr_0(k7_gaussint)) ) ).
fof(dt_k8_gaussint, axiom, m1_subset_1(k8_gaussint, k1_zfmisc_1(k2_numbers))).
fof(dt_k9_gaussint, axiom,  (v1_funct_1(k9_gaussint) &  (v1_funct_2(k9_gaussint, k2_zfmisc_1(k8_gaussint, k8_gaussint), k8_gaussint) & m1_subset_1(k9_gaussint, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_gaussint, k8_gaussint), k8_gaussint)))) ) ).
fof(dt_k10_gaussint, axiom,  (v1_funct_1(k10_gaussint) &  (v1_funct_2(k10_gaussint, k2_zfmisc_1(k8_gaussint, k8_gaussint), k8_gaussint) & m1_subset_1(k10_gaussint, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_gaussint, k8_gaussint), k8_gaussint)))) ) ).
fof(dt_k11_gaussint, axiom,  ( ~ (v2_struct_0(k11_gaussint))  &  (v36_algstr_0(k11_gaussint) & l6_algstr_0(k11_gaussint)) ) ).
fof(dt_k12_gaussint, axiom,  (v1_funct_1(k12_gaussint) &  (v1_funct_2(k12_gaussint, k2_zfmisc_1(u1_struct_0(k11_gaussint), k8_gaussint), k8_gaussint) & m1_subset_1(k12_gaussint, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k11_gaussint), k8_gaussint), k8_gaussint)))) ) ).
fof(dt_k13_gaussint, axiom,  ( ~ (v2_struct_0(k13_gaussint))  &  (v7_vectsp_1(k13_gaussint, k11_gaussint) & l1_vectsp_1(k13_gaussint, k11_gaussint)) ) ).
fof(dt_k14_gaussint, axiom,  ( ~ (v2_struct_0(k14_gaussint))  &  (v36_algstr_0(k14_gaussint) & l6_algstr_0(k14_gaussint)) ) ).
fof(reflexivity_r1_gaussint, axiom,  (! [A, B] :  ( ( (v1_xcmplx_0(A) & v1_gaussint(A))  &  (v1_xcmplx_0(B) & v1_gaussint(B)) )  => r1_gaussint(A, A)) ) ).
fof(dt_k15_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v2_gaussint(A))  =>  (v1_xcmplx_0(k15_gaussint(A)) & v2_gaussint(k15_gaussint(A))) ) ) ).
fof(involutiveness_k15_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v2_gaussint(A))  => k15_gaussint(k15_gaussint(A))=A) ) ).
fof(redefinition_k15_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v2_gaussint(A))  => k15_gaussint(A)=k8_complex1(A)) ) ).
fof(dt_k16_gaussint, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v2_gaussint(A))  => v1_rat_1(k16_gaussint(A))) ) ).
fof(symmetry_r2_gaussint, axiom,  (! [A, B] :  ( ( (v1_xcmplx_0(A) & v1_gaussint(A))  &  (v1_xcmplx_0(B) & v1_gaussint(B)) )  =>  (r2_gaussint(A, B) => r2_gaussint(B, A)) ) ) ).
fof(d2_gaussint, axiom, k1_gaussint=a_0_0_gaussint).
fof(d11_gaussint, axiom, k8_gaussint=a_0_1_gaussint).
fof(fraenkel_a_0_0_gaussint, axiom,  (! [A] :  (r2_hidden(A, a_0_0_gaussint) <=>  (? [B] :  ( (v1_xcmplx_0(B) & v1_gaussint(B))  & A=B) ) ) ) ).
fof(fraenkel_a_0_1_gaussint, axiom,  (! [A] :  (r2_hidden(A, a_0_1_gaussint) <=>  (? [B] :  ( (v1_xcmplx_0(B) & v2_gaussint(B))  & A=B) ) ) ) ).
fof(cc1_gcd_1, axiom,  (! [A] :  (l4_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_vectsp_1(A) & v5_group_1(A)) )  =>  ( ~ (v2_struct_0(A))  & v6_vectsp_1(A)) ) ) ) ).
fof(cc2_gcd_1, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v1_vectsp_1(A) & v5_group_1(A)) )  =>  ( ~ (v2_struct_0(A))  & v5_vectsp_1(A)) ) ) ) ).
fof(cc3_gcd_1, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_vectsp_1(A) & v5_group_1(A)) )  =>  ( ~ (v2_struct_0(A))  & v5_vectsp_1(A)) ) ) ) ).
fof(cc4_gcd_1, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & v3_group_1(A)) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & v3_group_1(A)) ) ) ) ) ) ) ) ) ) ).
fof(fc1_gcd_1, axiom,  (v36_algstr_0(k2_vectsp_1) & v1_vectsp_2(k2_vectsp_1)) ).
fof(rc1_gcd_1, axiom,  (? [A] :  (l6_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v36_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & v1_vectsp_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc2_gcd_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) & l4_algstr_0(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  ~ (v1_xboole_0(k2_gcd_1(A, B))) ) ) ).
fof(fc3_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  ~ (v1_xboole_0(k3_gcd_1(A))) ) ) ).
fof(rc2_gcd_1, axiom,  (? [A] :  (l6_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v1_vectsp_1(A) &  (v2_vectsp_1(A) &  (v3_vectsp_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v6_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & v3_gcd_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_gcd_1, axiom,  (? [A] :  (l4_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & v3_gcd_1(A)) ) ) ) ) ) ).
fof(rc4_gcd_1, axiom,  (? [A] :  (l5_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & v3_gcd_1(A)) ) ) ) ) ) ).
fof(cc5_gcd_1, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v1_vectsp_1(A) &  (v2_vectsp_1(A) &  (v4_vectsp_1(A) &  (v6_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & v5_group_1(A)) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v1_vectsp_1(A) &  (v2_vectsp_1(A) &  (v4_vectsp_1(A) &  (v6_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_group_1(A) & v3_gcd_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc5_gcd_1, axiom,  (? [A] :  (l6_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & v3_gcd_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ~ (B=k4_struct_0(A))  =>  ( (k8_group_1(A, B, C)=k8_group_1(A, B, D) => C=D)  &  (k8_group_1(A, C, B)=k8_group_1(A, D, B) => C=D) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_gcd_1(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & C=k6_algstr_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d2_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v1_gcd_1(B, A) <=> r1_gcd_1(A, B, k5_struct_0(A))) ) ) ) ) ).
fof(d3_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_gcd_1(A, B, C) <=>  (r1_gcd_1(A, B, C) & r1_gcd_1(A, C, B)) ) ) ) ) ) ) ) ).
fof(d4_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_gcd_1(A, C, B) =>  (C=k4_struct_0(A) |  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (D=k1_gcd_1(A, B, C) <=> k8_group_1(A, D, C)=B) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_group_1(A) & l4_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_gcd_1(A, B, C) & r1_gcd_1(A, C, D))  => r1_gcd_1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t3_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_group_1(A) &  (v5_group_1(A) & l4_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_gcd_1(A, C, B) & r1_gcd_1(A, E, D))  => r1_gcd_1(A, k8_group_1(A, C, E), k8_group_1(A, B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_group_1(A) & l4_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r3_gcd_1(A, B, C) & r3_gcd_1(A, C, D))  => r3_gcd_1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t5_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_group_1(A) & l4_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_gcd_1(A, B, C) => r1_gcd_1(A, k6_algstr_0(A, D, B), k6_algstr_0(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t6_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_gcd_1(A, B, k6_algstr_0(A, B, C)) &  (v5_group_1(A) => r1_gcd_1(A, C, k6_algstr_0(A, B, C))) ) ) ) ) ) ) ) ).
fof(t7_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_group_1(A) & l4_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_gcd_1(A, B, C) => r1_gcd_1(A, B, k6_algstr_0(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t8_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_gcd_1(A, C, B) =>  (C=k4_struct_0(A) |  (k1_gcd_1(A, B, C)=k4_struct_0(A) <=> B=k4_struct_0(A)) ) ) ) ) ) ) ) ) ).
fof(t9_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (B=k4_struct_0(A))  => k1_gcd_1(A, B, B)=k5_struct_0(A)) ) ) ) ) ).
fof(t10_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_gcd_1(A, B, k5_struct_0(A))=B) ) ) ) ).
fof(t11_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ~ (D=k4_struct_0(A))  =>  ( ( (r2_gcd_1(A, D, k8_group_1(A, B, C)) & r2_gcd_1(A, D, B))  => k1_gcd_1(A, k8_group_1(A, B, C), D)=k8_group_1(A, k1_gcd_1(A, B, D), C))  &  ( (r2_gcd_1(A, D, k8_group_1(A, B, C)) & r2_gcd_1(A, D, C))  => k1_gcd_1(A, k8_group_1(A, B, C), D)=k8_group_1(A, B, k1_gcd_1(A, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_gcd_1(A, D, B) &  (r2_gcd_1(A, D, C) & r2_gcd_1(A, D, k3_rlvect_1(A, B, C))) )  =>  (D=k4_struct_0(A) | k3_rlvect_1(A, k1_gcd_1(A, B, D), k1_gcd_1(A, C, D))=k1_gcd_1(A, k3_rlvect_1(A, B, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(t13_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_gcd_1(A, D, B) & r2_gcd_1(A, D, C))  =>  (D=k4_struct_0(A) |  (k1_gcd_1(A, B, D)=k1_gcd_1(A, C, D) <=> B=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r2_gcd_1(A, C, B) & r2_gcd_1(A, E, D))  =>  (C=k4_struct_0(A) |  (E=k4_struct_0(A) | k8_group_1(A, k1_gcd_1(A, B, C), k1_gcd_1(A, D, E))=k1_gcd_1(A, k8_group_1(A, B, D), k8_group_1(A, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_gcd_1(A, k8_group_1(A, B, C), k8_group_1(A, B, D)) =>  (B=k4_struct_0(A) | r2_gcd_1(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t16_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (r4_gcd_1(A, B, k4_struct_0(A)) => B=k4_struct_0(A)) ) ) ) ) ).
fof(t17_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k8_group_1(A, B, C)=B =>  (B=k4_struct_0(A) | C=k5_struct_0(A)) ) ) ) ) ) ) ) ).
fof(t18_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r4_gcd_1(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (v1_gcd_1(D, A) & k8_group_1(A, B, D)=C) ) ) ) ) ) ) ) ) ) ).
fof(t19_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r4_gcd_1(A, k8_group_1(A, D, B), k8_group_1(A, D, C)) =>  (D=k4_struct_0(A) | r4_gcd_1(A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(d5_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (C=k2_gcd_1(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, C) <=> r3_gcd_1(A, D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t20_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_group_1(A) & l4_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (r1_xboole_0(k2_gcd_1(A, B), k2_gcd_1(A, C)))  => k2_gcd_1(A, B)=k2_gcd_1(A, C)) ) ) ) ) ) ) ).
fof(d6_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (B=k3_gcd_1(A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(C, B) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & C=k2_gcd_1(A, D)) ) ) ) ) ) ) ) ) ) ).
fof(t21_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) & l4_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_tarski(B, k3_gcd_1(A)) & v1_xboole_0(B)) ) ) ) ) ) ).
fof(d7_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) &  (v3_group_1(A) & l4_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (m1_gcd_1(B, A) <=>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m2_subset_1(D, u1_struct_0(A), B) & r4_gcd_1(A, D, C)) ) ) )  &  (! [C] :  (m2_subset_1(C, u1_struct_0(A), B) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(A), B) =>  ~ ( ( ~ (C=D)  & r3_gcd_1(A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) &  (v3_group_1(A) & l4_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (m2_gcd_1(B, A) <=>  (m1_gcd_1(B, A) & r2_tarski(k5_struct_0(A), B)) ) ) ) ) ) ).
fof(t22_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) &  (v3_group_1(A) & l4_algstr_0(A)) ) )  =>  (! [B] :  (m2_gcd_1(B, A) =>  (r2_tarski(k5_struct_0(A), B) &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m2_subset_1(D, u1_struct_0(A), B) & r4_gcd_1(A, D, C)) ) ) )  &  (! [C] :  (m2_subset_1(C, u1_struct_0(A), B) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(A), B) =>  ~ ( ( ~ (C=D)  & r3_gcd_1(A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) &  (v3_group_1(A) & l4_algstr_0(A)) ) )  =>  (! [B] :  (m2_gcd_1(B, A) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), B) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(A), B) =>  (r4_gcd_1(A, C, D) => C=D) ) ) ) ) ) ) ) ) ).
fof(t24_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_gcd_1(B, A) => m2_subset_1(k4_struct_0(A), u1_struct_0(A), B)) ) ) ) ).
fof(d9_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) &  (v3_group_1(A) & l4_algstr_0(A)) ) )  =>  (! [B] :  (m2_gcd_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (D=k4_gcd_1(A, B, C) <=>  (r2_tarski(D, B) & r4_gcd_1(A, D, C)) ) ) ) ) ) ) ) ) ) ).
fof(t25_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_gcd_1(B, A) =>  (k4_gcd_1(A, B, k4_struct_0(A))=k4_struct_0(A) & k4_gcd_1(A, B, k5_struct_0(A))=k5_struct_0(A)) ) ) ) ) ).
fof(t26_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_gcd_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) <=> C=k4_gcd_1(A, B, C)) ) ) ) ) ) ) ).
fof(d10_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) &  (v3_group_1(A) & l4_algstr_0(A)) ) )  =>  (! [B] :  (m2_gcd_1(B, A) =>  (v2_gcd_1(B, A) <=>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), B) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(A), B) => r2_tarski(k6_algstr_0(A, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t27_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_gcd_1(B, A) =>  (v2_gcd_1(B, A) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), B) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(A), B) =>  (r2_gcd_1(A, D, C) =>  (D=k4_struct_0(A) | r2_tarski(k1_gcd_1(A, C, D), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (v3_gcd_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (r1_gcd_1(A, D, B) &  (r1_gcd_1(A, D, C) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_gcd_1(A, E, B) & r1_gcd_1(A, E, C))  => r1_gcd_1(A, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) &  (v3_group_1(A) &  (v3_gcd_1(A) & l4_algstr_0(A)) ) ) )  =>  (! [B] :  (m2_gcd_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (E=k5_gcd_1(A, B, C, D) <=>  (r2_tarski(E, B) &  (r2_gcd_1(A, E, C) &  (r2_gcd_1(A, E, D) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_gcd_1(A, F, C) & r2_gcd_1(A, F, D))  => r2_gcd_1(A, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) &  (v3_gcd_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_gcd_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_gcd_1(A, E, k5_gcd_1(A, B, C, D)) =>  (r2_gcd_1(A, E, C) & r2_gcd_1(A, E, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) &  (v3_gcd_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_gcd_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k5_gcd_1(A, B, C, D)=k5_gcd_1(A, B, D, C)) ) ) ) ) ) ) ) ).
fof(t30_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) &  (v3_gcd_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_gcd_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k5_gcd_1(A, B, C, k4_struct_0(A))=k4_gcd_1(A, B, C) & k5_gcd_1(A, B, k4_struct_0(A), C)=k4_gcd_1(A, B, C)) ) ) ) ) ) ) ).
fof(t31_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) &  (v3_gcd_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_gcd_1(B, A) => k5_gcd_1(A, B, k4_struct_0(A), k4_struct_0(A))=k4_struct_0(A)) ) ) ) ).
fof(t32_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) &  (v3_gcd_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_gcd_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k5_gcd_1(A, B, C, k5_struct_0(A))=k5_struct_0(A) & k5_gcd_1(A, B, k5_struct_0(A), C)=k5_struct_0(A)) ) ) ) ) ) ) ).
fof(t33_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) &  (v3_gcd_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_gcd_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k5_gcd_1(A, B, C, D)=k4_struct_0(A) <=>  (C=k4_struct_0(A) & D=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ).
fof(t34_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) &  (v3_gcd_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_gcd_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r4_gcd_1(A, D, E) =>  (r4_gcd_1(A, k5_gcd_1(A, B, C, D), k5_gcd_1(A, B, C, E)) & r4_gcd_1(A, k5_gcd_1(A, B, D, C), k5_gcd_1(A, B, E, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) &  (v3_gcd_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_gcd_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k5_gcd_1(A, B, k5_gcd_1(A, B, C, D), E)=k5_gcd_1(A, B, C, k5_gcd_1(A, B, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t36_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) &  (v3_gcd_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_gcd_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => r4_gcd_1(A, k5_gcd_1(A, B, k8_group_1(A, C, E), k8_group_1(A, D, E)), k8_group_1(A, E, k5_gcd_1(A, B, C, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t37_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) &  (v3_gcd_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_gcd_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (k5_gcd_1(A, B, C, D)=k5_struct_0(A) => k5_gcd_1(A, B, C, k8_group_1(A, D, E))=k5_gcd_1(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) &  (v3_gcd_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_gcd_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (E=k5_gcd_1(A, B, C, D) =>  (E=k4_struct_0(A) | k5_gcd_1(A, B, k1_gcd_1(A, C, E), k1_gcd_1(A, D, E))=k5_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) &  (v3_gcd_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_gcd_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k5_gcd_1(A, B, k3_rlvect_1(A, C, k8_group_1(A, D, E)), E)=k5_gcd_1(A, B, C, E)) ) ) ) ) ) ) ) ) ) ).
fof(t40_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) &  (v3_gcd_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_gcd_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (k5_gcd_1(A, B, C, D)=k5_struct_0(A) & k5_gcd_1(A, B, E, F)=k5_struct_0(A))  =>  (D=k4_struct_0(A) | k5_gcd_1(A, B, k3_rlvect_1(A, k8_group_1(A, C, k1_gcd_1(A, F, k5_gcd_1(A, B, D, F))), k8_group_1(A, E, k1_gcd_1(A, D, k5_gcd_1(A, B, D, F)))), k8_group_1(A, D, k1_gcd_1(A, F, k5_gcd_1(A, B, D, F))))=k5_gcd_1(A, B, k3_rlvect_1(A, k8_group_1(A, C, k1_gcd_1(A, F, k5_gcd_1(A, B, D, F))), k8_group_1(A, E, k1_gcd_1(A, D, k5_gcd_1(A, B, D, F)))), k5_gcd_1(A, B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) &  (v3_gcd_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_gcd_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (k5_gcd_1(A, B, C, D)=k5_struct_0(A) & k5_gcd_1(A, B, E, F)=k5_struct_0(A))  =>  (D=k4_struct_0(A) |  (F=k4_struct_0(A) | k5_gcd_1(A, B, k8_group_1(A, k1_gcd_1(A, C, k5_gcd_1(A, B, C, F)), k1_gcd_1(A, E, k5_gcd_1(A, B, E, D))), k8_group_1(A, k1_gcd_1(A, D, k5_gcd_1(A, B, E, D)), k1_gcd_1(A, F, k5_gcd_1(A, B, C, F))))=k5_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) &  (v3_group_1(A) &  (v3_gcd_1(A) & l4_algstr_0(A)) ) ) )  =>  (! [B] :  (m2_gcd_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r5_gcd_1(A, B, C, D) <=> k5_gcd_1(A, B, C, D)=k5_struct_0(A)) ) ) ) ) ) ) ) ) ).
fof(t42_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) &  (v3_gcd_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_gcd_1(B, A) =>  (! [C] :  (m2_gcd_1(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r5_gcd_1(A, B, D, E) => r5_gcd_1(A, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) &  (v3_group_1(A) &  (v3_gcd_1(A) & l4_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r6_gcd_1(A, B, C) <=>  (? [D] :  (m2_gcd_1(D, A) & k5_gcd_1(A, D, B, C)=k5_struct_0(A)) ) ) ) ) ) ) ) ) ).
fof(t43_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) &  (v3_gcd_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_gcd_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r7_gcd_1(A, C, D) => k5_gcd_1(A, B, C, D)=k5_struct_0(A)) ) ) ) ) ) ) ) ) ).
fof(d15_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) &  (v3_group_1(A) &  (v3_gcd_1(A) & l5_algstr_0(A)) ) ) )  =>  (! [B] :  (m2_gcd_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r8_gcd_1(A, B, C, D) <=>  (k5_gcd_1(A, B, C, D)=k5_struct_0(A) &  (r2_tarski(D, B) &  ~ (D=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) &  (v3_gcd_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_gcd_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r7_gcd_1(A, C, D) &  (r7_gcd_1(A, E, F) &  (D=k4_gcd_1(A, B, D) & F=k4_gcd_1(A, B, F)) ) )  =>  ( (C=k4_struct_0(A) => k6_gcd_1(A, B, C, D, E, F)=E)  &  ( (E=k4_struct_0(A) => k6_gcd_1(A, B, C, D, E, F)=C)  &  ( (k5_gcd_1(A, B, D, F)=k5_struct_0(A) => k6_gcd_1(A, B, C, D, E, F)=k3_rlvect_1(A, k8_group_1(A, C, F), k8_group_1(A, D, E)))  &  ( (k3_rlvect_1(A, k8_group_1(A, C, k1_gcd_1(A, F, k5_gcd_1(A, B, D, F))), k8_group_1(A, E, k1_gcd_1(A, D, k5_gcd_1(A, B, D, F))))=k4_struct_0(A) => k6_gcd_1(A, B, C, D, E, F)=k4_struct_0(A))  &  ~ ( ( ~ (C=k4_struct_0(A))  &  ( ~ (E=k4_struct_0(A))  &  ( ~ (k5_gcd_1(A, B, D, F)=k5_struct_0(A))  &  ( ~ (k3_rlvect_1(A, k8_group_1(A, C, k1_gcd_1(A, F, k5_gcd_1(A, B, D, F))), k8_group_1(A, E, k1_gcd_1(A, D, k5_gcd_1(A, B, D, F))))=k4_struct_0(A))  &  ~ (k6_gcd_1(A, B, C, D, E, F)=k1_gcd_1(A, k3_rlvect_1(A, k8_group_1(A, C, k1_gcd_1(A, F, k5_gcd_1(A, B, D, F))), k8_group_1(A, E, k1_gcd_1(A, D, k5_gcd_1(A, B, D, F)))), k5_gcd_1(A, B, k3_rlvect_1(A, k8_group_1(A, C, k1_gcd_1(A, F, k5_gcd_1(A, B, D, F))), k8_group_1(A, E, k1_gcd_1(A, D, k5_gcd_1(A, B, D, F)))), k5_gcd_1(A, B, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) &  (v3_gcd_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_gcd_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r7_gcd_1(A, C, D) &  (r7_gcd_1(A, E, F) &  (D=k4_gcd_1(A, B, D) & F=k4_gcd_1(A, B, F)) ) )  =>  ( (C=k4_struct_0(A) => k7_gcd_1(A, B, C, D, E, F)=F)  &  ( (E=k4_struct_0(A) => k7_gcd_1(A, B, C, D, E, F)=D)  &  ( (k5_gcd_1(A, B, D, F)=k5_struct_0(A) => k7_gcd_1(A, B, C, D, E, F)=k8_group_1(A, D, F))  &  ( (k3_rlvect_1(A, k8_group_1(A, C, k1_gcd_1(A, F, k5_gcd_1(A, B, D, F))), k8_group_1(A, E, k1_gcd_1(A, D, k5_gcd_1(A, B, D, F))))=k4_struct_0(A) => k7_gcd_1(A, B, C, D, E, F)=k5_struct_0(A))  &  ~ ( ( ~ (C=k4_struct_0(A))  &  ( ~ (E=k4_struct_0(A))  &  ( ~ (k5_gcd_1(A, B, D, F)=k5_struct_0(A))  &  ( ~ (k3_rlvect_1(A, k8_group_1(A, C, k1_gcd_1(A, F, k5_gcd_1(A, B, D, F))), k8_group_1(A, E, k1_gcd_1(A, D, k5_gcd_1(A, B, D, F))))=k4_struct_0(A))  &  ~ (k7_gcd_1(A, B, C, D, E, F)=k1_gcd_1(A, k8_group_1(A, D, k1_gcd_1(A, F, k5_gcd_1(A, B, D, F))), k5_gcd_1(A, B, k3_rlvect_1(A, k8_group_1(A, C, k1_gcd_1(A, F, k5_gcd_1(A, B, D, F))), k8_group_1(A, E, k1_gcd_1(A, D, k5_gcd_1(A, B, D, F)))), k5_gcd_1(A, B, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) &  (v3_gcd_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_gcd_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (v2_gcd_1(B, A) &  (r8_gcd_1(A, B, C, D) & r8_gcd_1(A, B, E, F)) )  => r8_gcd_1(A, B, k6_gcd_1(A, B, C, D, E, F), k7_gcd_1(A, B, C, D, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) &  (v3_gcd_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_gcd_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r8_gcd_1(A, B, C, D) & r8_gcd_1(A, B, E, F))  => k8_group_1(A, k6_gcd_1(A, B, C, D, E, F), k8_group_1(A, D, F))=k8_group_1(A, k7_gcd_1(A, B, C, D, E, F), k3_rlvect_1(A, k8_group_1(A, C, F), k8_group_1(A, E, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) &  (v3_gcd_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_gcd_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( ( (C=k4_struct_0(A) | E=k4_struct_0(A))  => k8_gcd_1(A, B, C, D, E, F)=k4_struct_0(A))  &  ( ( (D=k5_struct_0(A) & F=k5_struct_0(A))  => k8_gcd_1(A, B, C, D, E, F)=k8_group_1(A, C, E))  &  ( (D=k5_struct_0(A) =>  (F=k4_struct_0(A) | k8_gcd_1(A, B, C, D, E, F)=k1_gcd_1(A, k8_group_1(A, C, E), k5_gcd_1(A, B, C, F))) )  &  ( (F=k5_struct_0(A) =>  (D=k4_struct_0(A) | k8_gcd_1(A, B, C, D, E, F)=k1_gcd_1(A, k8_group_1(A, C, E), k5_gcd_1(A, B, E, D))) )  &  ~ ( ( ~ (C=k4_struct_0(A))  &  ( ~ (E=k4_struct_0(A))  &  ( ~ ( (D=k5_struct_0(A) & F=k5_struct_0(A)) )  &  ( ~ ( ( ~ (F=k4_struct_0(A))  & D=k5_struct_0(A)) )  &  ( ~ ( ( ~ (D=k4_struct_0(A))  & F=k5_struct_0(A)) )  &  ~ (k8_gcd_1(A, B, C, D, E, F)=k8_group_1(A, k1_gcd_1(A, C, k5_gcd_1(A, B, C, F)), k1_gcd_1(A, E, k5_gcd_1(A, B, E, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) &  (v3_gcd_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_gcd_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r7_gcd_1(A, C, D) &  (r7_gcd_1(A, E, F) &  (D=k4_gcd_1(A, B, D) & F=k4_gcd_1(A, B, F)) ) )  =>  ( ( (C=k4_struct_0(A) | E=k4_struct_0(A))  => k9_gcd_1(A, B, C, D, E, F)=k5_struct_0(A))  &  ( ( (D=k5_struct_0(A) & F=k5_struct_0(A))  => k9_gcd_1(A, B, C, D, E, F)=k5_struct_0(A))  &  ( (D=k5_struct_0(A) =>  (F=k4_struct_0(A) | k9_gcd_1(A, B, C, D, E, F)=k1_gcd_1(A, F, k5_gcd_1(A, B, C, F))) )  &  ( (F=k5_struct_0(A) =>  (D=k4_struct_0(A) | k9_gcd_1(A, B, C, D, E, F)=k1_gcd_1(A, D, k5_gcd_1(A, B, E, D))) )  &  ~ ( ( ~ (C=k4_struct_0(A))  &  ( ~ (E=k4_struct_0(A))  &  ( ~ ( (D=k5_struct_0(A) & F=k5_struct_0(A)) )  &  ( ~ ( ( ~ (F=k4_struct_0(A))  & D=k5_struct_0(A)) )  &  ( ~ ( ( ~ (D=k4_struct_0(A))  & F=k5_struct_0(A)) )  &  ~ (k9_gcd_1(A, B, C, D, E, F)=k8_group_1(A, k1_gcd_1(A, D, k5_gcd_1(A, B, E, D)), k1_gcd_1(A, F, k5_gcd_1(A, B, C, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) &  (v3_gcd_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_gcd_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (v2_gcd_1(B, A) &  (r8_gcd_1(A, B, C, D) & r8_gcd_1(A, B, E, F)) )  => r8_gcd_1(A, B, k8_gcd_1(A, B, C, D, E, F), k9_gcd_1(A, B, C, D, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) &  (v3_gcd_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_gcd_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r8_gcd_1(A, B, C, D) & r8_gcd_1(A, B, E, F))  => k8_group_1(A, k8_gcd_1(A, B, C, D, E, F), k8_group_1(A, D, F))=k8_group_1(A, k9_gcd_1(A, B, C, D, E, F), k8_group_1(A, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k6_algstr_0(A, k4_algstr_0(A, B), C)=k4_algstr_0(A, k6_algstr_0(A, B, C)) & k6_algstr_0(A, B, k4_algstr_0(A, C))=k4_algstr_0(A, k6_algstr_0(A, B, C))) ) ) ) ) ) ) ).
fof(t49_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=k4_struct_0(A))  &  ( ~ (C=k4_struct_0(A))  &  ~ (k8_group_1(A, k9_algstr_0(A, B), k9_algstr_0(A, C))=k9_algstr_0(A, k8_group_1(A, C, B))) ) ) ) ) ) ) ) ) ) ).
fof(reflexivity_r2_gcd_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_vectsp_1(A) & l4_algstr_0(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => r2_gcd_1(A, B, B)) ) ).
fof(redefinition_r2_gcd_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_vectsp_1(A) & l4_algstr_0(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r2_gcd_1(A, B, C) <=> r1_gcd_1(A, B, C)) ) ) ).
fof(symmetry_r3_gcd_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r3_gcd_1(A, B, C) => r3_gcd_1(A, C, B)) ) ) ).
fof(symmetry_r4_gcd_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) & l4_algstr_0(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r4_gcd_1(A, B, C) => r4_gcd_1(A, C, B)) ) ) ).
fof(reflexivity_r4_gcd_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) & l4_algstr_0(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => r4_gcd_1(A, B, B)) ) ).
fof(redefinition_r4_gcd_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) & l4_algstr_0(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r4_gcd_1(A, B, C) <=> r3_gcd_1(A, B, C)) ) ) ).
fof(dt_k1_gcd_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k1_gcd_1(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k2_gcd_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k2_gcd_1(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k3_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  => m1_subset_1(k3_gcd_1(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_m1_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) &  (v3_group_1(A) & l4_algstr_0(A)) ) )  =>  (! [B] :  (m1_gcd_1(B, A) =>  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ).
fof(existence_m1_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) &  (v3_group_1(A) & l4_algstr_0(A)) ) )  =>  (? [B] : m1_gcd_1(B, A)) ) ) ).
fof(dt_m2_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) &  (v3_group_1(A) & l4_algstr_0(A)) ) )  =>  (! [B] :  (m2_gcd_1(B, A) =>  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ).
fof(existence_m2_gcd_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) &  (v3_group_1(A) & l4_algstr_0(A)) ) )  =>  (? [B] : m2_gcd_1(B, A)) ) ) ).
fof(dt_k4_gcd_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) &  (v3_group_1(A) & l4_algstr_0(A)) ) )  &  (m2_gcd_1(B, A) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k4_gcd_1(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k5_gcd_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) &  (v3_group_1(A) &  (v3_gcd_1(A) & l4_algstr_0(A)) ) ) )  &  (m2_gcd_1(B, A) &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, u1_struct_0(A))) ) )  => m1_subset_1(k5_gcd_1(A, B, C, D), u1_struct_0(A))) ) ).
fof(symmetry_r7_gcd_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) &  (v3_gcd_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r7_gcd_1(A, B, C) => r7_gcd_1(A, C, B)) ) ) ).
fof(redefinition_r7_gcd_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) &  (v3_gcd_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r7_gcd_1(A, B, C) <=> r6_gcd_1(A, B, C)) ) ) ).
fof(dt_k6_gcd_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) &  (v3_gcd_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  &  (m2_gcd_1(B, A) &  (m1_subset_1(C, u1_struct_0(A)) &  (m1_subset_1(D, u1_struct_0(A)) &  (m1_subset_1(E, u1_struct_0(A)) & m1_subset_1(F, u1_struct_0(A))) ) ) ) )  => m1_subset_1(k6_gcd_1(A, B, C, D, E, F), u1_struct_0(A))) ) ).
fof(dt_k7_gcd_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) &  (v3_gcd_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  &  (m2_gcd_1(B, A) &  (m1_subset_1(C, u1_struct_0(A)) &  (m1_subset_1(D, u1_struct_0(A)) &  (m1_subset_1(E, u1_struct_0(A)) & m1_subset_1(F, u1_struct_0(A))) ) ) ) )  => m1_subset_1(k7_gcd_1(A, B, C, D, E, F), u1_struct_0(A))) ) ).
fof(dt_k8_gcd_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) &  (v3_gcd_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  &  (m2_gcd_1(B, A) &  (m1_subset_1(C, u1_struct_0(A)) &  (m1_subset_1(D, u1_struct_0(A)) &  (m1_subset_1(E, u1_struct_0(A)) & m1_subset_1(F, u1_struct_0(A))) ) ) ) )  => m1_subset_1(k8_gcd_1(A, B, C, D, E, F), u1_struct_0(A))) ) ).
fof(dt_k9_gcd_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) &  (v3_gcd_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  &  (m2_gcd_1(B, A) &  (m1_subset_1(C, u1_struct_0(A)) &  (m1_subset_1(D, u1_struct_0(A)) &  (m1_subset_1(E, u1_struct_0(A)) & m1_subset_1(F, u1_struct_0(A))) ) ) ) )  => m1_subset_1(k9_gcd_1(A, B, C, D, E, F), u1_struct_0(A))) ) ).
fof(fc1_genealg1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) ) )  =>  ~ (v1_xboole_0(k3_card_3(A))) ) ) ).
fof(t1_genealg1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(D, k3_finseq_1(B)) => k2_rfinseq(A, D, k8_finseq_1(A, B, C))=k8_finseq_1(A, k2_rfinseq(A, D, B), C)) ) ) ) ) ) ) ) ) ).
fof(t2_genealg1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => k17_finseq_1(A, k1_nat_1(k3_finseq_1(B), D), k8_finseq_1(A, B, C))=k8_finseq_1(A, B, k17_finseq_1(A, D, C))) ) ) ) ) ) ) ) ).
fof(d1_genealg1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  =>  (! [B] :  (m2_finseq_1(B, k3_card_3(A)) =>  (m1_genealg1(B, A) <=>  (k3_finseq_1(B)=k3_finseq_1(A) &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r2_tarski(C, k4_finseq_1(B)) => r2_tarski(k1_funct_1(B, C), k1_funct_1(A, C))) ) ) ) ) ) ) ) ) ).
fof(d2_genealg1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  =>  (! [B] :  (m2_finseq_1(B, k3_card_3(A)) =>  (! [C] :  (m2_finseq_1(C, k3_card_3(A)) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => k1_genealg1(A, B, C, D)=k8_finseq_1(k3_card_3(A), k17_finseq_1(k3_card_3(A), D, B), k2_rfinseq(k3_card_3(A), D, C))) ) ) ) ) ) ) ) ).
fof(d3_genealg1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  =>  (! [B] :  (m2_finseq_1(B, k3_card_3(A)) =>  (! [C] :  (m2_finseq_1(C, k3_card_3(A)) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) => k2_genealg1(A, B, C, D, E)=k1_genealg1(A, k1_genealg1(A, B, C, D), k1_genealg1(A, C, B, D), E)) ) ) ) ) ) ) ) ) ) ).
fof(d4_genealg1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  =>  (! [B] :  (m2_finseq_1(B, k3_card_3(A)) =>  (! [C] :  (m2_finseq_1(C, k3_card_3(A)) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) => k3_genealg1(A, B, C, D, E, F)=k1_genealg1(A, k2_genealg1(A, B, C, D, E), k2_genealg1(A, C, B, D, E), F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_genealg1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  =>  (! [B] :  (m2_finseq_1(B, k3_card_3(A)) =>  (! [C] :  (m2_finseq_1(C, k3_card_3(A)) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (! [G] :  (m1_subset_1(G, k4_ordinal1) => k4_genealg1(A, B, C, D, E, F, G)=k1_genealg1(A, k3_genealg1(A, B, C, D, E, F), k3_genealg1(A, C, B, D, E, F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_genealg1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  =>  (! [B] :  (m2_finseq_1(B, k3_card_3(A)) =>  (! [C] :  (m2_finseq_1(C, k3_card_3(A)) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  (! [H] :  (m1_subset_1(H, k4_ordinal1) => k5_genealg1(A, B, C, D, E, F, G, H)=k1_genealg1(A, k4_genealg1(A, B, C, D, E, F, G), k4_genealg1(A, C, B, D, E, F, G), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_genealg1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  =>  (! [B] :  (m2_finseq_1(B, k3_card_3(A)) =>  (! [C] :  (m2_finseq_1(C, k3_card_3(A)) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  (! [H] :  (m1_subset_1(H, k4_ordinal1) =>  (! [I] :  (m1_subset_1(I, k4_ordinal1) => k6_genealg1(A, B, C, D, E, F, G, H, I)=k1_genealg1(A, k5_genealg1(A, B, C, D, E, F, G, H), k5_genealg1(A, C, B, D, E, F, G, H), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) )  =>  (! [C] :  (m1_genealg1(C, B) =>  (! [D] :  (m1_genealg1(D, B) => m1_genealg1(k1_genealg1(B, C, D, A), B)) ) ) ) ) ) ) ) ).
fof(t4_genealg1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  =>  (! [B] :  (m1_genealg1(B, A) =>  (! [C] :  (m1_genealg1(C, A) => k7_genealg1(A, B, C, k5_numbers)=C) ) ) ) ) ) ).
fof(t5_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) )  =>  (! [C] :  (m1_genealg1(C, B) =>  (! [D] :  (m1_genealg1(D, B) =>  (r1_xxreal_0(k3_finseq_1(C), A) => k7_genealg1(B, C, D, A)=C) ) ) ) ) ) ) ) ) ).
fof(t6_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v2_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) )  =>  (! [D] :  (m1_genealg1(D, C) =>  (! [E] :  (m1_genealg1(E, C) => m1_genealg1(k2_genealg1(C, D, E, A, B), C)) ) ) ) ) ) ) ) ) ) ).
fof(t7_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) )  =>  (! [C] :  (m1_genealg1(C, B) =>  (! [D] :  (m1_genealg1(D, B) => k8_genealg1(B, C, D, k5_numbers, A)=k7_genealg1(B, D, C, A)) ) ) ) ) ) ) ) ).
fof(t8_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) )  =>  (! [C] :  (m1_genealg1(C, B) =>  (! [D] :  (m1_genealg1(D, B) => k8_genealg1(B, C, D, A, k5_numbers)=k7_genealg1(B, D, C, A)) ) ) ) ) ) ) ) ).
fof(t9_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v2_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) )  =>  (! [D] :  (m1_genealg1(D, C) =>  (! [E] :  (m1_genealg1(E, C) =>  (r1_xxreal_0(k3_finseq_1(D), A) => k8_genealg1(C, D, E, A, B)=k7_genealg1(C, D, E, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v2_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) )  =>  (! [D] :  (m1_genealg1(D, C) =>  (! [E] :  (m1_genealg1(E, C) =>  (r1_xxreal_0(k3_finseq_1(D), B) => k8_genealg1(C, D, E, A, B)=k7_genealg1(C, D, E, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v2_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) )  =>  (! [D] :  (m1_genealg1(D, C) =>  (! [E] :  (m1_genealg1(E, C) =>  ( (r1_xxreal_0(k3_finseq_1(D), A) & r1_xxreal_0(k3_finseq_1(D), B))  => k8_genealg1(C, D, E, A, B)=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) )  =>  (! [C] :  (m1_genealg1(C, B) =>  (! [D] :  (m1_genealg1(D, B) => k8_genealg1(B, C, D, A, A)=C) ) ) ) ) ) ) ) ).
fof(t13_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v2_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) )  =>  (! [D] :  (m1_genealg1(D, C) =>  (! [E] :  (m1_genealg1(E, C) => k8_genealg1(C, D, E, A, B)=k8_genealg1(C, D, E, B, A)) ) ) ) ) ) ) ) ) ) ).
fof(t14_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_relat_1(D) &  (v2_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) ) ) )  =>  (! [E] :  (m1_genealg1(E, D) =>  (! [F] :  (m1_genealg1(F, D) => m1_genealg1(k3_genealg1(D, E, F, A, B, C), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_relat_1(D) &  (v2_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) ) ) )  =>  (! [E] :  (m1_genealg1(E, D) =>  (! [F] :  (m1_genealg1(F, D) =>  (k9_genealg1(D, E, F, k5_numbers, B, C)=k8_genealg1(D, F, E, B, C) &  (k9_genealg1(D, E, F, A, k5_numbers, C)=k8_genealg1(D, F, E, A, C) & k9_genealg1(D, E, F, A, B, k5_numbers)=k8_genealg1(D, F, E, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_relat_1(D) &  (v2_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) ) ) )  =>  (! [E] :  (m1_genealg1(E, D) =>  (! [F] :  (m1_genealg1(F, D) =>  (k9_genealg1(D, E, F, k5_numbers, k5_numbers, C)=k7_genealg1(D, E, F, C) &  (k9_genealg1(D, E, F, A, k5_numbers, k5_numbers)=k7_genealg1(D, E, F, A) & k9_genealg1(D, E, F, k5_numbers, B, k5_numbers)=k7_genealg1(D, E, F, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_genealg1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  =>  (! [B] :  (m1_genealg1(B, A) =>  (! [C] :  (m1_genealg1(C, A) => k9_genealg1(A, B, C, k5_numbers, k5_numbers, k5_numbers)=C) ) ) ) ) ) ).
fof(t18_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_relat_1(D) &  (v2_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) ) ) )  =>  (! [E] :  (m1_genealg1(E, D) =>  (! [F] :  (m1_genealg1(F, D) =>  (r1_xxreal_0(k3_finseq_1(E), A) => k9_genealg1(D, E, F, A, B, C)=k8_genealg1(D, E, F, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_relat_1(D) &  (v2_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) ) ) )  =>  (! [E] :  (m1_genealg1(E, D) =>  (! [F] :  (m1_genealg1(F, D) =>  (r1_xxreal_0(k3_finseq_1(E), B) => k9_genealg1(D, E, F, A, B, C)=k8_genealg1(D, E, F, A, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_relat_1(D) &  (v2_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) ) ) )  =>  (! [E] :  (m1_genealg1(E, D) =>  (! [F] :  (m1_genealg1(F, D) =>  (r1_xxreal_0(k3_finseq_1(E), C) => k9_genealg1(D, E, F, A, B, C)=k8_genealg1(D, E, F, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_relat_1(D) &  (v2_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) ) ) )  =>  (! [E] :  (m1_genealg1(E, D) =>  (! [F] :  (m1_genealg1(F, D) =>  ( (r1_xxreal_0(k3_finseq_1(E), A) & r1_xxreal_0(k3_finseq_1(E), B))  => k9_genealg1(D, E, F, A, B, C)=k7_genealg1(D, E, F, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_relat_1(D) &  (v2_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) ) ) )  =>  (! [E] :  (m1_genealg1(E, D) =>  (! [F] :  (m1_genealg1(F, D) =>  ( (r1_xxreal_0(k3_finseq_1(E), A) & r1_xxreal_0(k3_finseq_1(E), C))  => k9_genealg1(D, E, F, A, B, C)=k7_genealg1(D, E, F, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_relat_1(D) &  (v2_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) ) ) )  =>  (! [E] :  (m1_genealg1(E, D) =>  (! [F] :  (m1_genealg1(F, D) =>  ( (r1_xxreal_0(k3_finseq_1(E), B) & r1_xxreal_0(k3_finseq_1(E), C))  => k9_genealg1(D, E, F, A, B, C)=k7_genealg1(D, E, F, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_relat_1(D) &  (v2_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) ) ) )  =>  (! [E] :  (m1_genealg1(E, D) =>  (! [F] :  (m1_genealg1(F, D) =>  ( (r1_xxreal_0(k3_finseq_1(E), A) &  (r1_xxreal_0(k3_finseq_1(E), B) & r1_xxreal_0(k3_finseq_1(E), C)) )  => k9_genealg1(D, E, F, A, B, C)=E) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_relat_1(D) &  (v2_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) ) ) )  =>  (! [E] :  (m1_genealg1(E, D) =>  (! [F] :  (m1_genealg1(F, D) =>  (k9_genealg1(D, E, F, A, B, C)=k9_genealg1(D, E, F, B, A, C) & k9_genealg1(D, E, F, A, B, C)=k9_genealg1(D, E, F, A, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_relat_1(D) &  (v2_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) ) ) )  =>  (! [E] :  (m1_genealg1(E, D) =>  (! [F] :  (m1_genealg1(F, D) => k9_genealg1(D, E, F, A, B, C)=k9_genealg1(D, E, F, C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_relat_1(D) &  (v2_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) ) ) )  =>  (! [E] :  (m1_genealg1(E, D) =>  (! [F] :  (m1_genealg1(F, D) =>  (k9_genealg1(D, E, F, A, A, C)=k7_genealg1(D, E, F, C) &  (k9_genealg1(D, E, F, A, B, A)=k7_genealg1(D, E, F, B) & k9_genealg1(D, E, F, A, B, B)=k7_genealg1(D, E, F, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v1_relat_1(E) &  (v2_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) ) ) )  =>  (! [F] :  (m1_genealg1(F, E) =>  (! [G] :  (m1_genealg1(G, E) => m1_genealg1(k4_genealg1(E, F, G, A, B, C, D), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v1_relat_1(E) &  (v2_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) ) ) )  =>  (! [F] :  (m1_genealg1(F, E) =>  (! [G] :  (m1_genealg1(G, E) =>  (k10_genealg1(E, F, G, k5_numbers, B, C, D)=k9_genealg1(E, G, F, B, C, D) &  (k10_genealg1(E, F, G, A, k5_numbers, C, D)=k9_genealg1(E, G, F, A, C, D) &  (k10_genealg1(E, F, G, A, B, k5_numbers, D)=k9_genealg1(E, G, F, A, B, D) & k10_genealg1(E, F, G, A, B, C, k5_numbers)=k9_genealg1(E, G, F, A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v1_relat_1(E) &  (v2_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) ) ) )  =>  (! [F] :  (m1_genealg1(F, E) =>  (! [G] :  (m1_genealg1(G, E) =>  (k10_genealg1(E, F, G, k5_numbers, k5_numbers, C, D)=k8_genealg1(E, F, G, C, D) &  (k10_genealg1(E, F, G, k5_numbers, B, k5_numbers, D)=k8_genealg1(E, F, G, B, D) &  (k10_genealg1(E, F, G, k5_numbers, B, C, k5_numbers)=k8_genealg1(E, F, G, B, C) &  (k10_genealg1(E, F, G, A, k5_numbers, C, k5_numbers)=k8_genealg1(E, F, G, A, C) &  (k10_genealg1(E, F, G, A, k5_numbers, k5_numbers, D)=k8_genealg1(E, F, G, A, D) & k10_genealg1(E, F, G, A, B, k5_numbers, k5_numbers)=k8_genealg1(E, F, G, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v1_relat_1(E) &  (v2_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) ) ) )  =>  (! [F] :  (m1_genealg1(F, E) =>  (! [G] :  (m1_genealg1(G, E) =>  (k10_genealg1(E, F, G, A, k5_numbers, k5_numbers, k5_numbers)=k7_genealg1(E, G, F, A) &  (k10_genealg1(E, F, G, k5_numbers, B, k5_numbers, k5_numbers)=k7_genealg1(E, G, F, B) &  (k10_genealg1(E, F, G, k5_numbers, k5_numbers, C, k5_numbers)=k7_genealg1(E, G, F, C) & k10_genealg1(E, F, G, k5_numbers, k5_numbers, k5_numbers, D)=k7_genealg1(E, G, F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_genealg1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  =>  (! [B] :  (m1_genealg1(B, A) =>  (! [C] :  (m1_genealg1(C, A) => k10_genealg1(A, B, C, k5_numbers, k5_numbers, k5_numbers, k5_numbers)=B) ) ) ) ) ) ).
fof(t33_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v1_relat_1(E) &  (v2_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) ) ) )  =>  (! [F] :  (m1_genealg1(F, E) =>  (! [G] :  (m1_genealg1(G, E) =>  ( (r1_xxreal_0(k3_finseq_1(F), A) => k10_genealg1(E, F, G, A, B, C, D)=k9_genealg1(E, F, G, B, C, D))  &  ( (r1_xxreal_0(k3_finseq_1(F), B) => k10_genealg1(E, F, G, A, B, C, D)=k9_genealg1(E, F, G, A, C, D))  &  ( (r1_xxreal_0(k3_finseq_1(F), C) => k10_genealg1(E, F, G, A, B, C, D)=k9_genealg1(E, F, G, A, B, D))  &  (r1_xxreal_0(k3_finseq_1(F), D) => k10_genealg1(E, F, G, A, B, C, D)=k9_genealg1(E, F, G, A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v1_relat_1(E) &  (v2_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) ) ) )  =>  (! [F] :  (m1_genealg1(F, E) =>  (! [G] :  (m1_genealg1(G, E) =>  ( ( (r1_xxreal_0(k3_finseq_1(F), A) & r1_xxreal_0(k3_finseq_1(F), B))  => k10_genealg1(E, F, G, A, B, C, D)=k8_genealg1(E, F, G, C, D))  &  ( ( (r1_xxreal_0(k3_finseq_1(F), A) & r1_xxreal_0(k3_finseq_1(F), C))  => k10_genealg1(E, F, G, A, B, C, D)=k8_genealg1(E, F, G, B, D))  &  ( ( (r1_xxreal_0(k3_finseq_1(F), A) & r1_xxreal_0(k3_finseq_1(F), D))  => k10_genealg1(E, F, G, A, B, C, D)=k8_genealg1(E, F, G, B, C))  &  ( ( (r1_xxreal_0(k3_finseq_1(F), B) & r1_xxreal_0(k3_finseq_1(F), C))  => k10_genealg1(E, F, G, A, B, C, D)=k8_genealg1(E, F, G, A, D))  &  ( ( (r1_xxreal_0(k3_finseq_1(F), B) & r1_xxreal_0(k3_finseq_1(F), D))  => k10_genealg1(E, F, G, A, B, C, D)=k8_genealg1(E, F, G, A, C))  &  ( (r1_xxreal_0(k3_finseq_1(F), C) & r1_xxreal_0(k3_finseq_1(F), D))  => k10_genealg1(E, F, G, A, B, C, D)=k8_genealg1(E, F, G, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v1_relat_1(E) &  (v2_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) ) ) )  =>  (! [F] :  (m1_genealg1(F, E) =>  (! [G] :  (m1_genealg1(G, E) =>  ( ( (r1_xxreal_0(k3_finseq_1(F), A) &  (r1_xxreal_0(k3_finseq_1(F), B) & r1_xxreal_0(k3_finseq_1(F), C)) )  => k10_genealg1(E, F, G, A, B, C, D)=k7_genealg1(E, F, G, D))  &  ( ( (r1_xxreal_0(k3_finseq_1(F), A) &  (r1_xxreal_0(k3_finseq_1(F), B) & r1_xxreal_0(k3_finseq_1(F), D)) )  => k10_genealg1(E, F, G, A, B, C, D)=k7_genealg1(E, F, G, C))  &  ( ( (r1_xxreal_0(k3_finseq_1(F), A) &  (r1_xxreal_0(k3_finseq_1(F), C) & r1_xxreal_0(k3_finseq_1(F), D)) )  => k10_genealg1(E, F, G, A, B, C, D)=k7_genealg1(E, F, G, B))  &  ( (r1_xxreal_0(k3_finseq_1(F), B) &  (r1_xxreal_0(k3_finseq_1(F), C) & r1_xxreal_0(k3_finseq_1(F), D)) )  => k10_genealg1(E, F, G, A, B, C, D)=k7_genealg1(E, F, G, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v1_relat_1(E) &  (v2_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) ) ) )  =>  (! [F] :  (m1_genealg1(F, E) =>  (! [G] :  (m1_genealg1(G, E) =>  ( (r1_xxreal_0(k3_finseq_1(F), A) &  (r1_xxreal_0(k3_finseq_1(F), B) &  (r1_xxreal_0(k3_finseq_1(F), C) & r1_xxreal_0(k3_finseq_1(F), D)) ) )  => k10_genealg1(E, F, G, A, B, C, D)=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v1_relat_1(E) &  (v2_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) ) ) )  =>  (! [F] :  (m1_genealg1(F, E) =>  (! [G] :  (m1_genealg1(G, E) =>  (k10_genealg1(E, F, G, A, B, C, D)=k10_genealg1(E, F, G, A, B, D, C) &  (k10_genealg1(E, F, G, A, B, C, D)=k10_genealg1(E, F, G, A, C, B, D) &  (k10_genealg1(E, F, G, A, B, C, D)=k10_genealg1(E, F, G, A, C, D, B) &  (k10_genealg1(E, F, G, A, B, C, D)=k10_genealg1(E, F, G, A, D, C, B) &  (k10_genealg1(E, F, G, A, B, C, D)=k10_genealg1(E, F, G, B, A, C, D) &  (k10_genealg1(E, F, G, A, B, C, D)=k10_genealg1(E, F, G, B, A, D, C) &  (k10_genealg1(E, F, G, A, B, C, D)=k10_genealg1(E, F, G, B, C, A, D) &  (k10_genealg1(E, F, G, A, B, C, D)=k10_genealg1(E, F, G, B, C, D, A) &  (k10_genealg1(E, F, G, A, B, C, D)=k10_genealg1(E, F, G, B, D, A, C) &  (k10_genealg1(E, F, G, A, B, C, D)=k10_genealg1(E, F, G, B, D, C, A) &  (k10_genealg1(E, F, G, A, B, C, D)=k10_genealg1(E, F, G, C, B, A, D) &  (k10_genealg1(E, F, G, A, B, C, D)=k10_genealg1(E, F, G, C, B, D, A) &  (k10_genealg1(E, F, G, A, B, C, D)=k10_genealg1(E, F, G, C, D, A, B) &  (k10_genealg1(E, F, G, A, B, C, D)=k10_genealg1(E, F, G, C, D, B, A) &  (k10_genealg1(E, F, G, A, B, C, D)=k10_genealg1(E, F, G, D, B, C, A) & k10_genealg1(E, F, G, A, B, C, D)=k10_genealg1(E, F, G, D, C, B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v1_relat_1(E) &  (v2_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) ) ) )  =>  (! [F] :  (m1_genealg1(F, E) =>  (! [G] :  (m1_genealg1(G, E) =>  (k10_genealg1(E, F, G, A, A, C, D)=k8_genealg1(E, F, G, C, D) &  (k10_genealg1(E, F, G, A, B, A, D)=k8_genealg1(E, F, G, B, D) &  (k10_genealg1(E, F, G, A, B, C, A)=k8_genealg1(E, F, G, B, C) &  (k10_genealg1(E, F, G, A, B, B, D)=k8_genealg1(E, F, G, A, D) &  (k10_genealg1(E, F, G, A, B, C, B)=k8_genealg1(E, F, G, A, C) & k10_genealg1(E, F, G, A, B, C, C)=k8_genealg1(E, F, G, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_relat_1(D) &  (v2_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) ) ) )  =>  (! [E] :  (m1_genealg1(E, D) =>  (! [F] :  (m1_genealg1(F, D) =>  (k10_genealg1(D, E, F, A, A, C, C)=E &  (k10_genealg1(D, E, F, A, B, A, B)=E & k10_genealg1(D, E, F, A, B, B, A)=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  &  (v1_relat_1(F) &  (v2_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) ) ) )  =>  (! [G] :  (m1_genealg1(G, F) =>  (! [H] :  (m1_genealg1(H, F) => m1_genealg1(k5_genealg1(F, G, H, A, B, C, D, E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  &  (v1_relat_1(F) &  (v2_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) ) ) )  =>  (! [G] :  (m1_genealg1(G, F) =>  (! [H] :  (m1_genealg1(H, F) =>  (k11_genealg1(F, G, H, k5_numbers, B, C, D, E)=k10_genealg1(F, H, G, B, C, D, E) &  (k11_genealg1(F, G, H, A, k5_numbers, C, D, E)=k10_genealg1(F, H, G, A, C, D, E) &  (k11_genealg1(F, G, H, A, B, k5_numbers, D, E)=k10_genealg1(F, H, G, A, B, D, E) &  (k11_genealg1(F, G, H, A, B, C, k5_numbers, E)=k10_genealg1(F, H, G, A, B, C, E) & k11_genealg1(F, G, H, A, B, C, D, k5_numbers)=k10_genealg1(F, H, G, A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  &  (v1_relat_1(F) &  (v2_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) ) ) )  =>  (! [G] :  (m1_genealg1(G, F) =>  (! [H] :  (m1_genealg1(H, F) =>  (k11_genealg1(F, G, H, k5_numbers, k5_numbers, C, D, E)=k9_genealg1(F, G, H, C, D, E) &  (k11_genealg1(F, G, H, k5_numbers, B, k5_numbers, D, E)=k9_genealg1(F, G, H, B, D, E) &  (k11_genealg1(F, G, H, k5_numbers, B, C, k5_numbers, E)=k9_genealg1(F, G, H, B, C, E) &  (k11_genealg1(F, G, H, k5_numbers, B, C, D, k5_numbers)=k9_genealg1(F, G, H, B, C, D) &  (k11_genealg1(F, G, H, A, k5_numbers, k5_numbers, D, E)=k9_genealg1(F, G, H, A, D, E) &  (k11_genealg1(F, G, H, A, k5_numbers, C, k5_numbers, E)=k9_genealg1(F, G, H, A, C, E) &  (k11_genealg1(F, G, H, A, k5_numbers, C, D, k5_numbers)=k9_genealg1(F, G, H, A, C, D) &  (k11_genealg1(F, G, H, A, B, k5_numbers, k5_numbers, E)=k9_genealg1(F, G, H, A, B, E) &  (k11_genealg1(F, G, H, A, B, k5_numbers, D, k5_numbers)=k9_genealg1(F, G, H, A, B, D) & k11_genealg1(F, G, H, A, B, C, k5_numbers, k5_numbers)=k9_genealg1(F, G, H, A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  &  (v1_relat_1(F) &  (v2_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) ) ) )  =>  (! [G] :  (m1_genealg1(G, F) =>  (! [H] :  (m1_genealg1(H, F) =>  (k11_genealg1(F, G, H, k5_numbers, k5_numbers, k5_numbers, D, E)=k8_genealg1(F, H, G, D, E) &  (k11_genealg1(F, G, H, k5_numbers, k5_numbers, C, k5_numbers, E)=k8_genealg1(F, H, G, C, E) &  (k11_genealg1(F, G, H, k5_numbers, k5_numbers, C, D, k5_numbers)=k8_genealg1(F, H, G, C, D) &  (k11_genealg1(F, G, H, k5_numbers, B, k5_numbers, k5_numbers, E)=k8_genealg1(F, H, G, B, E) &  (k11_genealg1(F, G, H, k5_numbers, B, k5_numbers, D, k5_numbers)=k8_genealg1(F, H, G, B, D) &  (k11_genealg1(F, G, H, k5_numbers, B, C, k5_numbers, k5_numbers)=k8_genealg1(F, H, G, B, C) &  (k11_genealg1(F, G, H, A, k5_numbers, k5_numbers, k5_numbers, E)=k8_genealg1(F, H, G, A, E) &  (k11_genealg1(F, G, H, A, k5_numbers, k5_numbers, D, k5_numbers)=k8_genealg1(F, H, G, A, D) &  (k11_genealg1(F, G, H, A, k5_numbers, C, k5_numbers, k5_numbers)=k8_genealg1(F, H, G, A, C) & k11_genealg1(F, G, H, A, B, k5_numbers, k5_numbers, k5_numbers)=k8_genealg1(F, H, G, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  &  (v1_relat_1(F) &  (v2_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) ) ) )  =>  (! [G] :  (m1_genealg1(G, F) =>  (! [H] :  (m1_genealg1(H, F) =>  (k11_genealg1(F, G, H, k5_numbers, k5_numbers, k5_numbers, k5_numbers, E)=k7_genealg1(F, G, H, E) &  (k11_genealg1(F, G, H, k5_numbers, k5_numbers, k5_numbers, D, k5_numbers)=k7_genealg1(F, G, H, D) &  (k11_genealg1(F, G, H, k5_numbers, k5_numbers, C, k5_numbers, k5_numbers)=k7_genealg1(F, G, H, C) &  (k11_genealg1(F, G, H, k5_numbers, B, k5_numbers, k5_numbers, k5_numbers)=k7_genealg1(F, G, H, B) & k11_genealg1(F, G, H, A, k5_numbers, k5_numbers, k5_numbers, k5_numbers)=k7_genealg1(F, G, H, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_genealg1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  =>  (! [B] :  (m1_genealg1(B, A) =>  (! [C] :  (m1_genealg1(C, A) => k11_genealg1(A, B, C, k5_numbers, k5_numbers, k5_numbers, k5_numbers, k5_numbers)=C) ) ) ) ) ) ).
fof(t46_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  &  (v1_relat_1(F) &  (v2_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) ) ) )  =>  (! [G] :  (m1_genealg1(G, F) =>  (! [H] :  (m1_genealg1(H, F) =>  ( (r1_xxreal_0(k3_finseq_1(G), A) => k11_genealg1(F, G, H, A, B, C, D, E)=k10_genealg1(F, G, H, B, C, D, E))  &  ( (r1_xxreal_0(k3_finseq_1(G), B) => k11_genealg1(F, G, H, A, B, C, D, E)=k10_genealg1(F, G, H, A, C, D, E))  &  ( (r1_xxreal_0(k3_finseq_1(G), C) => k11_genealg1(F, G, H, A, B, C, D, E)=k10_genealg1(F, G, H, A, B, D, E))  &  ( (r1_xxreal_0(k3_finseq_1(G), D) => k11_genealg1(F, G, H, A, B, C, D, E)=k10_genealg1(F, G, H, A, B, C, E))  &  (r1_xxreal_0(k3_finseq_1(G), E) => k11_genealg1(F, G, H, A, B, C, D, E)=k10_genealg1(F, G, H, A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  &  (v1_relat_1(F) &  (v2_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) ) ) )  =>  (! [G] :  (m1_genealg1(G, F) =>  (! [H] :  (m1_genealg1(H, F) =>  ( ( (r1_xxreal_0(k3_finseq_1(G), A) & r1_xxreal_0(k3_finseq_1(G), B))  => k11_genealg1(F, G, H, A, B, C, D, E)=k9_genealg1(F, G, H, C, D, E))  &  ( ( (r1_xxreal_0(k3_finseq_1(G), A) & r1_xxreal_0(k3_finseq_1(G), C))  => k11_genealg1(F, G, H, A, B, C, D, E)=k9_genealg1(F, G, H, B, D, E))  &  ( ( (r1_xxreal_0(k3_finseq_1(G), A) & r1_xxreal_0(k3_finseq_1(G), D))  => k11_genealg1(F, G, H, A, B, C, D, E)=k9_genealg1(F, G, H, B, C, E))  &  ( ( (r1_xxreal_0(k3_finseq_1(G), A) & r1_xxreal_0(k3_finseq_1(G), E))  => k11_genealg1(F, G, H, A, B, C, D, E)=k9_genealg1(F, G, H, B, C, D))  &  ( ( (r1_xxreal_0(k3_finseq_1(G), B) & r1_xxreal_0(k3_finseq_1(G), C))  => k11_genealg1(F, G, H, A, B, C, D, E)=k9_genealg1(F, G, H, A, D, E))  &  ( ( (r1_xxreal_0(k3_finseq_1(G), B) & r1_xxreal_0(k3_finseq_1(G), D))  => k11_genealg1(F, G, H, A, B, C, D, E)=k9_genealg1(F, G, H, A, C, E))  &  ( ( (r1_xxreal_0(k3_finseq_1(G), B) & r1_xxreal_0(k3_finseq_1(G), E))  => k11_genealg1(F, G, H, A, B, C, D, E)=k9_genealg1(F, G, H, A, C, D))  &  ( ( (r1_xxreal_0(k3_finseq_1(G), C) & r1_xxreal_0(k3_finseq_1(G), D))  => k11_genealg1(F, G, H, A, B, C, D, E)=k9_genealg1(F, G, H, A, B, E))  &  ( ( (r1_xxreal_0(k3_finseq_1(G), C) & r1_xxreal_0(k3_finseq_1(G), E))  => k11_genealg1(F, G, H, A, B, C, D, E)=k9_genealg1(F, G, H, A, B, D))  &  ( (r1_xxreal_0(k3_finseq_1(G), D) & r1_xxreal_0(k3_finseq_1(G), E))  => k11_genealg1(F, G, H, A, B, C, D, E)=k9_genealg1(F, G, H, A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  &  (v1_relat_1(F) &  (v2_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) ) ) )  =>  (! [G] :  (m1_genealg1(G, F) =>  (! [H] :  (m1_genealg1(H, F) =>  ( ( (r1_xxreal_0(k3_finseq_1(G), A) &  (r1_xxreal_0(k3_finseq_1(G), B) & r1_xxreal_0(k3_finseq_1(G), C)) )  => k11_genealg1(F, G, H, A, B, C, D, E)=k8_genealg1(F, G, H, D, E))  &  ( ( (r1_xxreal_0(k3_finseq_1(G), A) &  (r1_xxreal_0(k3_finseq_1(G), B) & r1_xxreal_0(k3_finseq_1(G), D)) )  => k11_genealg1(F, G, H, A, B, C, D, E)=k8_genealg1(F, G, H, C, E))  &  ( ( (r1_xxreal_0(k3_finseq_1(G), A) &  (r1_xxreal_0(k3_finseq_1(G), B) & r1_xxreal_0(k3_finseq_1(G), E)) )  => k11_genealg1(F, G, H, A, B, C, D, E)=k8_genealg1(F, G, H, C, D))  &  ( ( (r1_xxreal_0(k3_finseq_1(G), A) &  (r1_xxreal_0(k3_finseq_1(G), C) & r1_xxreal_0(k3_finseq_1(G), D)) )  => k11_genealg1(F, G, H, A, B, C, D, E)=k8_genealg1(F, G, H, B, E))  &  ( ( (r1_xxreal_0(k3_finseq_1(G), A) &  (r1_xxreal_0(k3_finseq_1(G), C) & r1_xxreal_0(k3_finseq_1(G), E)) )  => k11_genealg1(F, G, H, A, B, C, D, E)=k8_genealg1(F, G, H, B, D))  &  ( ( (r1_xxreal_0(k3_finseq_1(G), A) &  (r1_xxreal_0(k3_finseq_1(G), D) & r1_xxreal_0(k3_finseq_1(G), E)) )  => k11_genealg1(F, G, H, A, B, C, D, E)=k8_genealg1(F, G, H, B, C))  &  ( ( (r1_xxreal_0(k3_finseq_1(G), B) &  (r1_xxreal_0(k3_finseq_1(G), C) & r1_xxreal_0(k3_finseq_1(G), D)) )  => k11_genealg1(F, G, H, A, B, C, D, E)=k8_genealg1(F, G, H, A, E))  &  ( ( (r1_xxreal_0(k3_finseq_1(G), B) &  (r1_xxreal_0(k3_finseq_1(G), C) & r1_xxreal_0(k3_finseq_1(G), E)) )  => k11_genealg1(F, G, H, A, B, C, D, E)=k8_genealg1(F, G, H, A, D))  &  ( ( (r1_xxreal_0(k3_finseq_1(G), B) &  (r1_xxreal_0(k3_finseq_1(G), D) & r1_xxreal_0(k3_finseq_1(G), E)) )  => k11_genealg1(F, G, H, A, B, C, D, E)=k8_genealg1(F, G, H, A, C))  &  ( (r1_xxreal_0(k3_finseq_1(G), C) &  (r1_xxreal_0(k3_finseq_1(G), D) & r1_xxreal_0(k3_finseq_1(G), E)) )  => k11_genealg1(F, G, H, A, B, C, D, E)=k8_genealg1(F, G, H, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  &  (v1_relat_1(F) &  (v2_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) ) ) )  =>  (! [G] :  (m1_genealg1(G, F) =>  (! [H] :  (m1_genealg1(H, F) =>  ( ( (r1_xxreal_0(k3_finseq_1(G), A) &  (r1_xxreal_0(k3_finseq_1(G), B) &  (r1_xxreal_0(k3_finseq_1(G), C) & r1_xxreal_0(k3_finseq_1(G), D)) ) )  => k11_genealg1(F, G, H, A, B, C, D, E)=k7_genealg1(F, G, H, E))  &  ( ( (r1_xxreal_0(k3_finseq_1(G), A) &  (r1_xxreal_0(k3_finseq_1(G), B) &  (r1_xxreal_0(k3_finseq_1(G), C) & r1_xxreal_0(k3_finseq_1(G), E)) ) )  => k11_genealg1(F, G, H, A, B, C, D, E)=k7_genealg1(F, G, H, D))  &  ( ( (r1_xxreal_0(k3_finseq_1(G), A) &  (r1_xxreal_0(k3_finseq_1(G), B) &  (r1_xxreal_0(k3_finseq_1(G), D) & r1_xxreal_0(k3_finseq_1(G), E)) ) )  => k11_genealg1(F, G, H, A, B, C, D, E)=k7_genealg1(F, G, H, C))  &  ( ( (r1_xxreal_0(k3_finseq_1(G), A) &  (r1_xxreal_0(k3_finseq_1(G), C) &  (r1_xxreal_0(k3_finseq_1(G), D) & r1_xxreal_0(k3_finseq_1(G), E)) ) )  => k11_genealg1(F, G, H, A, B, C, D, E)=k7_genealg1(F, G, H, B))  &  ( (r1_xxreal_0(k3_finseq_1(G), B) &  (r1_xxreal_0(k3_finseq_1(G), C) &  (r1_xxreal_0(k3_finseq_1(G), D) & r1_xxreal_0(k3_finseq_1(G), E)) ) )  => k11_genealg1(F, G, H, A, B, C, D, E)=k7_genealg1(F, G, H, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  &  (v1_relat_1(F) &  (v2_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) ) ) )  =>  (! [G] :  (m1_genealg1(G, F) =>  (! [H] :  (m1_genealg1(H, F) =>  ( (r1_xxreal_0(k3_finseq_1(G), A) &  (r1_xxreal_0(k3_finseq_1(G), B) &  (r1_xxreal_0(k3_finseq_1(G), C) &  (r1_xxreal_0(k3_finseq_1(G), D) & r1_xxreal_0(k3_finseq_1(G), E)) ) ) )  => k11_genealg1(F, G, H, A, B, C, D, E)=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  &  (v1_relat_1(F) &  (v2_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) ) ) )  =>  (! [G] :  (m1_genealg1(G, F) =>  (! [H] :  (m1_genealg1(H, F) =>  (k11_genealg1(F, G, H, A, B, C, D, E)=k11_genealg1(F, G, H, B, A, C, D, E) &  (k11_genealg1(F, G, H, A, B, C, D, E)=k11_genealg1(F, G, H, C, B, A, D, E) &  (k11_genealg1(F, G, H, A, B, C, D, E)=k11_genealg1(F, G, H, D, B, C, A, E) & k11_genealg1(F, G, H, A, B, C, D, E)=k11_genealg1(F, G, H, E, B, C, D, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  &  (v1_relat_1(F) &  (v2_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) ) ) )  =>  (! [G] :  (m1_genealg1(G, F) =>  (! [H] :  (m1_genealg1(H, F) =>  (k11_genealg1(F, G, H, A, A, C, D, E)=k9_genealg1(F, G, H, C, D, E) &  (k11_genealg1(F, G, H, A, B, A, D, E)=k9_genealg1(F, G, H, B, D, E) &  (k11_genealg1(F, G, H, A, B, C, A, E)=k9_genealg1(F, G, H, B, C, E) & k11_genealg1(F, G, H, A, B, C, D, A)=k9_genealg1(F, G, H, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (! [G] :  ( ( ~ (v1_xboole_0(G))  &  (v1_relat_1(G) &  (v2_relat_1(G) &  (v1_funct_1(G) & v1_finseq_1(G)) ) ) )  =>  (! [H] :  (m1_genealg1(H, G) =>  (! [I] :  (m1_genealg1(I, G) => m1_genealg1(k6_genealg1(G, H, I, A, B, C, D, E, F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (! [G] :  ( ( ~ (v1_xboole_0(G))  &  (v1_relat_1(G) &  (v2_relat_1(G) &  (v1_funct_1(G) & v1_finseq_1(G)) ) ) )  =>  (! [H] :  (m1_genealg1(H, G) =>  (! [I] :  (m1_genealg1(I, G) =>  (k12_genealg1(G, H, I, k5_numbers, B, C, D, E, F)=k11_genealg1(G, I, H, B, C, D, E, F) &  (k12_genealg1(G, H, I, A, k5_numbers, C, D, E, F)=k11_genealg1(G, I, H, A, C, D, E, F) &  (k12_genealg1(G, H, I, A, B, k5_numbers, D, E, F)=k11_genealg1(G, I, H, A, B, D, E, F) &  (k12_genealg1(G, H, I, A, B, C, k5_numbers, E, F)=k11_genealg1(G, I, H, A, B, C, E, F) &  (k12_genealg1(G, H, I, A, B, C, D, k5_numbers, F)=k11_genealg1(G, I, H, A, B, C, D, F) & k12_genealg1(G, H, I, A, B, C, D, E, k5_numbers)=k11_genealg1(G, I, H, A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (! [G] :  ( ( ~ (v1_xboole_0(G))  &  (v1_relat_1(G) &  (v2_relat_1(G) &  (v1_funct_1(G) & v1_finseq_1(G)) ) ) )  =>  (! [H] :  (m1_genealg1(H, G) =>  (! [I] :  (m1_genealg1(I, G) =>  ( (r1_xxreal_0(k3_finseq_1(H), A) => k12_genealg1(G, H, I, A, B, C, D, E, F)=k11_genealg1(G, H, I, B, C, D, E, F))  &  ( (r1_xxreal_0(k3_finseq_1(H), B) => k12_genealg1(G, H, I, A, B, C, D, E, F)=k11_genealg1(G, H, I, A, C, D, E, F))  &  ( (r1_xxreal_0(k3_finseq_1(H), C) => k12_genealg1(G, H, I, A, B, C, D, E, F)=k11_genealg1(G, H, I, A, B, D, E, F))  &  ( (r1_xxreal_0(k3_finseq_1(H), D) => k12_genealg1(G, H, I, A, B, C, D, E, F)=k11_genealg1(G, H, I, A, B, C, E, F))  &  ( (r1_xxreal_0(k3_finseq_1(H), E) => k12_genealg1(G, H, I, A, B, C, D, E, F)=k11_genealg1(G, H, I, A, B, C, D, F))  &  (r1_xxreal_0(k3_finseq_1(H), F) => k12_genealg1(G, H, I, A, B, C, D, E, F)=k11_genealg1(G, H, I, A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (! [G] :  ( ( ~ (v1_xboole_0(G))  &  (v1_relat_1(G) &  (v2_relat_1(G) &  (v1_funct_1(G) & v1_finseq_1(G)) ) ) )  =>  (! [H] :  (m1_genealg1(H, G) =>  (! [I] :  (m1_genealg1(I, G) =>  (k12_genealg1(G, H, I, A, B, C, D, E, F)=k12_genealg1(G, H, I, B, A, C, D, E, F) &  (k12_genealg1(G, H, I, A, B, C, D, E, F)=k12_genealg1(G, H, I, C, B, A, D, E, F) &  (k12_genealg1(G, H, I, A, B, C, D, E, F)=k12_genealg1(G, H, I, D, B, C, A, E, F) &  (k12_genealg1(G, H, I, A, B, C, D, E, F)=k12_genealg1(G, H, I, E, B, C, D, A, F) & k12_genealg1(G, H, I, A, B, C, D, E, F)=k12_genealg1(G, H, I, F, B, C, D, E, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_genealg1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (! [G] :  ( ( ~ (v1_xboole_0(G))  &  (v1_relat_1(G) &  (v2_relat_1(G) &  (v1_funct_1(G) & v1_finseq_1(G)) ) ) )  =>  (! [H] :  (m1_genealg1(H, G) =>  (! [I] :  (m1_genealg1(I, G) =>  (k12_genealg1(G, H, I, A, A, C, D, E, F)=k10_genealg1(G, H, I, C, D, E, F) &  (k12_genealg1(G, H, I, A, B, A, D, E, F)=k10_genealg1(G, H, I, B, D, E, F) &  (k12_genealg1(G, H, I, A, B, C, A, E, F)=k10_genealg1(G, H, I, B, C, E, F) &  (k12_genealg1(G, H, I, A, B, C, D, A, F)=k10_genealg1(G, H, I, B, C, D, F) & k12_genealg1(G, H, I, A, B, C, D, E, A)=k10_genealg1(G, H, I, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_m1_genealg1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  =>  (! [B] :  (m1_genealg1(B, A) => m2_finseq_1(B, k3_card_3(A))) ) ) ) ).
fof(existence_m1_genealg1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  =>  (? [B] : m1_genealg1(B, A)) ) ) ).
fof(dt_k1_genealg1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  &  (m1_finseq_1(B, k3_card_3(A)) &  (m1_finseq_1(C, k3_card_3(A)) & m1_subset_1(D, k4_ordinal1)) ) )  => m2_finseq_1(k1_genealg1(A, B, C, D), k3_card_3(A))) ) ).
fof(dt_k2_genealg1, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  &  (m1_finseq_1(B, k3_card_3(A)) &  (m1_finseq_1(C, k3_card_3(A)) &  (m1_subset_1(D, k4_ordinal1) & m1_subset_1(E, k4_ordinal1)) ) ) )  => m2_finseq_1(k2_genealg1(A, B, C, D, E), k3_card_3(A))) ) ).
fof(dt_k3_genealg1, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  &  (m1_finseq_1(B, k3_card_3(A)) &  (m1_finseq_1(C, k3_card_3(A)) &  (m1_subset_1(D, k4_ordinal1) &  (m1_subset_1(E, k4_ordinal1) & m1_subset_1(F, k4_ordinal1)) ) ) ) )  => m2_finseq_1(k3_genealg1(A, B, C, D, E, F), k3_card_3(A))) ) ).
fof(dt_k4_genealg1, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  &  (m1_finseq_1(B, k3_card_3(A)) &  (m1_finseq_1(C, k3_card_3(A)) &  (m1_subset_1(D, k4_ordinal1) &  (m1_subset_1(E, k4_ordinal1) &  (m1_subset_1(F, k4_ordinal1) & m1_subset_1(G, k4_ordinal1)) ) ) ) ) )  => m2_finseq_1(k4_genealg1(A, B, C, D, E, F, G), k3_card_3(A))) ) ).
fof(dt_k5_genealg1, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  &  (m1_finseq_1(B, k3_card_3(A)) &  (m1_finseq_1(C, k3_card_3(A)) &  (m1_subset_1(D, k4_ordinal1) &  (m1_subset_1(E, k4_ordinal1) &  (m1_subset_1(F, k4_ordinal1) &  (m1_subset_1(G, k4_ordinal1) & m1_subset_1(H, k4_ordinal1)) ) ) ) ) ) )  => m2_finseq_1(k5_genealg1(A, B, C, D, E, F, G, H), k3_card_3(A))) ) ).
fof(dt_k6_genealg1, axiom,  (! [A, B, C, D, E, F, G, H, I] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  &  (m1_finseq_1(B, k3_card_3(A)) &  (m1_finseq_1(C, k3_card_3(A)) &  (m1_subset_1(D, k4_ordinal1) &  (m1_subset_1(E, k4_ordinal1) &  (m1_subset_1(F, k4_ordinal1) &  (m1_subset_1(G, k4_ordinal1) &  (m1_subset_1(H, k4_ordinal1) & m1_subset_1(I, k4_ordinal1)) ) ) ) ) ) ) )  => m2_finseq_1(k6_genealg1(A, B, C, D, E, F, G, H, I), k3_card_3(A))) ) ).
fof(dt_k7_genealg1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  &  (m1_genealg1(B, A) &  (m1_genealg1(C, A) & m1_subset_1(D, k4_ordinal1)) ) )  => m1_genealg1(k7_genealg1(A, B, C, D), A)) ) ).
fof(redefinition_k7_genealg1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  &  (m1_genealg1(B, A) &  (m1_genealg1(C, A) & m1_subset_1(D, k4_ordinal1)) ) )  => k7_genealg1(A, B, C, D)=k1_genealg1(A, B, C, D)) ) ).
fof(dt_k8_genealg1, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  &  (m1_genealg1(B, A) &  (m1_genealg1(C, A) &  (m1_subset_1(D, k4_ordinal1) & m1_subset_1(E, k4_ordinal1)) ) ) )  => m1_genealg1(k8_genealg1(A, B, C, D, E), A)) ) ).
fof(redefinition_k8_genealg1, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  &  (m1_genealg1(B, A) &  (m1_genealg1(C, A) &  (m1_subset_1(D, k4_ordinal1) & m1_subset_1(E, k4_ordinal1)) ) ) )  => k8_genealg1(A, B, C, D, E)=k2_genealg1(A, B, C, D, E)) ) ).
fof(dt_k9_genealg1, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  &  (m1_genealg1(B, A) &  (m1_genealg1(C, A) &  (m1_subset_1(D, k4_ordinal1) &  (m1_subset_1(E, k4_ordinal1) & m1_subset_1(F, k4_ordinal1)) ) ) ) )  => m1_genealg1(k9_genealg1(A, B, C, D, E, F), A)) ) ).
fof(redefinition_k9_genealg1, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  &  (m1_genealg1(B, A) &  (m1_genealg1(C, A) &  (m1_subset_1(D, k4_ordinal1) &  (m1_subset_1(E, k4_ordinal1) & m1_subset_1(F, k4_ordinal1)) ) ) ) )  => k9_genealg1(A, B, C, D, E, F)=k3_genealg1(A, B, C, D, E, F)) ) ).
fof(dt_k10_genealg1, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  &  (m1_genealg1(B, A) &  (m1_genealg1(C, A) &  (m1_subset_1(D, k4_ordinal1) &  (m1_subset_1(E, k4_ordinal1) &  (m1_subset_1(F, k4_ordinal1) & m1_subset_1(G, k4_ordinal1)) ) ) ) ) )  => m1_genealg1(k10_genealg1(A, B, C, D, E, F, G), A)) ) ).
fof(redefinition_k10_genealg1, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  &  (m1_genealg1(B, A) &  (m1_genealg1(C, A) &  (m1_subset_1(D, k4_ordinal1) &  (m1_subset_1(E, k4_ordinal1) &  (m1_subset_1(F, k4_ordinal1) & m1_subset_1(G, k4_ordinal1)) ) ) ) ) )  => k10_genealg1(A, B, C, D, E, F, G)=k4_genealg1(A, B, C, D, E, F, G)) ) ).
fof(dt_k11_genealg1, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  &  (m1_genealg1(B, A) &  (m1_genealg1(C, A) &  (m1_subset_1(D, k4_ordinal1) &  (m1_subset_1(E, k4_ordinal1) &  (m1_subset_1(F, k4_ordinal1) &  (m1_subset_1(G, k4_ordinal1) & m1_subset_1(H, k4_ordinal1)) ) ) ) ) ) )  => m1_genealg1(k11_genealg1(A, B, C, D, E, F, G, H), A)) ) ).
fof(redefinition_k11_genealg1, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  &  (m1_genealg1(B, A) &  (m1_genealg1(C, A) &  (m1_subset_1(D, k4_ordinal1) &  (m1_subset_1(E, k4_ordinal1) &  (m1_subset_1(F, k4_ordinal1) &  (m1_subset_1(G, k4_ordinal1) & m1_subset_1(H, k4_ordinal1)) ) ) ) ) ) )  => k11_genealg1(A, B, C, D, E, F, G, H)=k5_genealg1(A, B, C, D, E, F, G, H)) ) ).
fof(dt_k12_genealg1, axiom,  (! [A, B, C, D, E, F, G, H, I] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  &  (m1_genealg1(B, A) &  (m1_genealg1(C, A) &  (m1_subset_1(D, k4_ordinal1) &  (m1_subset_1(E, k4_ordinal1) &  (m1_subset_1(F, k4_ordinal1) &  (m1_subset_1(G, k4_ordinal1) &  (m1_subset_1(H, k4_ordinal1) & m1_subset_1(I, k4_ordinal1)) ) ) ) ) ) ) )  => m1_genealg1(k12_genealg1(A, B, C, D, E, F, G, H, I), A)) ) ).
fof(redefinition_k12_genealg1, axiom,  (! [A, B, C, D, E, F, G, H, I] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  &  (m1_genealg1(B, A) &  (m1_genealg1(C, A) &  (m1_subset_1(D, k4_ordinal1) &  (m1_subset_1(E, k4_ordinal1) &  (m1_subset_1(F, k4_ordinal1) &  (m1_subset_1(G, k4_ordinal1) &  (m1_subset_1(H, k4_ordinal1) & m1_subset_1(I, k4_ordinal1)) ) ) ) ) ) ) )  => k12_genealg1(A, B, C, D, E, F, G, H, I)=k6_genealg1(A, B, C, D, E, F, G, H, I)) ) ).
fof(rc1_geomtrap, axiom,  (? [A] :  (l1_geomtrap(A) & v1_geomtrap(A)) ) ).
fof(rc2_geomtrap, axiom,  (? [A] :  (l1_geomtrap(A) &  ( ~ (v2_struct_0(A))  & v1_geomtrap(A)) ) ) ).
fof(fc1_geomtrap, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  ( ~ (v2_struct_0(k7_geomtrap(A, B, C)))  & v1_geomtrap(k7_geomtrap(A, B, C))) ) ) ).
fof(fc2_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_geomtrap(A))  =>  ( ~ (v2_struct_0(g1_analoaf(u1_struct_0(A), u1_analoaf(A))))  & v1_analoaf(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) ) ) ).
fof(rc3_geomtrap, axiom,  (? [A] :  (l1_geomtrap(A) &  ( ~ (v2_struct_0(A))  &  (v1_geomtrap(A) & v2_geomtrap(A)) ) ) ) ).
fof(rc4_geomtrap, axiom,  (? [A] :  (l1_analoaf(A) &  ( ~ (v2_struct_0(A))  &  (v1_analoaf(A) & v3_geomtrap(A)) ) ) ) ).
fof(fc3_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_geomtrap(A) & l1_geomtrap(A)) )  =>  (v1_analoaf(g1_analoaf(u1_struct_0(A), u1_analoaf(A))) & v3_geomtrap(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) ) ) ).
fof(rc5_geomtrap, axiom,  (? [A] :  (l1_analoaf(A) &  ( ~ (v2_struct_0(A))  &  (v1_analoaf(A) & v4_geomtrap(A)) ) ) ) ).
fof(fc4_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_geomtrap(A) & l1_analoaf(A)) )  =>  (v1_analoaf(k2_diraf(A)) & v4_geomtrap(k2_diraf(A))) ) ) ).
fof(rc6_geomtrap, axiom,  (? [A] :  (l1_analoaf(A) &  ( ~ (v2_struct_0(A))  &  (v1_analoaf(A) &  (v3_geomtrap(A) & v5_geomtrap(A)) ) ) ) ) ).
fof(fc5_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_geomtrap(A) & l1_geomtrap(A)) )  =>  (v1_analoaf(g1_analoaf(u1_struct_0(A), u1_analoaf(A))) & v5_geomtrap(g1_analoaf(u1_struct_0(A), u1_analoaf(A)))) ) ) ).
fof(d1_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_geomtrap(A, B, C, D, E) <=>  (r1_analoaf(A, B, C, D, E) | r1_analoaf(A, B, C, E, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_analmetr(A, B, C) =>  ( ~ (v7_struct_0(k2_analoaf(A)))  &  (v2_analoaf(k2_analoaf(A)) & l1_analoaf(k2_analoaf(A))) ) ) ) ) ) ) ) ) ).
fof(t2_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_analoaf(A))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k2_analoaf(A))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k2_analoaf(A))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k2_analoaf(A))) =>  ( (F=B &  (G=D &  (H=C & I=E) ) )  =>  (r2_analoaf(k2_analoaf(A), F, G, H, I) <=> r1_analoaf(A, B, D, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r1_analmetr(A, F, G) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k2_diraf(k2_analoaf(A)))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k2_diraf(k2_analoaf(A)))) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(k2_diraf(k2_analoaf(A)))) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(k2_diraf(k2_analoaf(A)))) =>  ( (H=B &  (I=D &  (J=C & K=E) ) )  =>  (r2_analoaf(k2_diraf(k2_analoaf(A)), H, I, J, K) <=> r1_geomtrap(A, B, D, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k2_analmetr(A, F, G))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k2_analmetr(A, F, G))) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(k2_analmetr(A, F, G))) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(k2_analmetr(A, F, G))) =>  ( (H=B &  (I=D &  (J=C & K=E) ) )  =>  (r2_analoaf(k2_analmetr(A, F, G), H, I, J, K) <=> r1_geomtrap(A, B, D, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (D=k1_geomtrap(A, B, C) <=> k3_rlvect_1(A, D, D)=k3_rlvect_1(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t5_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & k1_geomtrap(A, B, D)=C) ) ) ) ) ) ) ) ).
fof(t6_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k1_geomtrap(A, k1_geomtrap(A, B, C), k1_geomtrap(A, D, E))=k1_geomtrap(A, k1_geomtrap(A, B, D), k1_geomtrap(A, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t7_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k1_geomtrap(A, B, D)=k1_geomtrap(A, B, C) => D=C) ) ) ) ) ) ) ) ) ).
fof(t8_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_analoaf(A, B, C, k1_geomtrap(A, D, B), k1_geomtrap(A, D, C))) ) ) ) ) ) ) ) ).
fof(t9_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_geomtrap(A, B, C, k1_geomtrap(A, D, B), k1_geomtrap(A, D, C))) ) ) ) ) ) ) ) ).
fof(t10_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_rlvect_1(A, k5_algstr_0(A, k1_geomtrap(A, B, C), B), 2)=k5_algstr_0(A, C, B) & k1_rlvect_1(A, k5_algstr_0(A, C, k1_geomtrap(A, B, C)), 2)=k5_algstr_0(A, C, B)) ) ) ) ) ) ) ).
fof(t11_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_analoaf(A, B, k1_geomtrap(A, B, C), k1_geomtrap(A, B, C), C)) ) ) ) ) ) ).
fof(t12_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_analoaf(A, B, C, B, k1_geomtrap(A, B, C)) & r1_analoaf(A, B, C, k1_geomtrap(A, B, C), C)) ) ) ) ) ) ) ).
fof(t13_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_analoaf(A, B, D, D, C) => r1_analoaf(A, k1_geomtrap(A, B, D), D, D, k1_geomtrap(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t14_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_analoaf(A, B, D, C, E) => r1_analoaf(A, B, D, k1_geomtrap(A, B, C), k1_geomtrap(A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r2_geomtrap(A, B, C, D, E, F, G) <=>  (r1_analoaf(A, D, E, F, G) &  (r3_analmetr(A, D, E, k1_geomtrap(A, D, E), k1_geomtrap(A, F, G), B, C) & r3_analmetr(A, F, G, k1_geomtrap(A, D, E), k1_geomtrap(A, F, G), B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_analmetr(A, D, E) => r2_geomtrap(A, D, E, B, B, C, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_analmetr(A, D, E) => r2_geomtrap(A, D, E, B, C, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_geomtrap(A, D, E, B, C, C, B) => B=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r1_analmetr(A, E, F) & r2_geomtrap(A, E, F, C, B, B, D))  =>  (C=B & B=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  ( (r1_analmetr(A, H, I) &  (r2_geomtrap(A, H, I, B, E, C, F) & r2_geomtrap(A, H, I, B, E, D, G)) )  =>  (B=E | r2_geomtrap(A, H, I, C, F, D, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r1_analmetr(A, E, F) &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( ~ (r2_geomtrap(A, E, F, B, D, C, G))  &  ~ (r2_geomtrap(A, E, F, B, D, G, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r2_geomtrap(A, F, G, B, D, C, E) => r2_geomtrap(A, F, G, C, E, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r2_geomtrap(A, F, G, B, D, C, E) => r2_geomtrap(A, F, G, D, B, E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r1_analmetr(A, E, F) & r2_geomtrap(A, E, F, D, B, D, C))  => B=C) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ~ ( (r1_analmetr(A, G, H) &  (r2_geomtrap(A, G, H, B, D, C, E) &  (r2_geomtrap(A, G, H, B, D, C, F) &  ( ~ (B=D)  &  ~ (E=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ( (r1_analmetr(A, G, H) & r2_geomtrap(A, G, H, B, C, D, E))  =>  (B=C |  ( ( ~ (r2_geomtrap(A, G, H, B, C, D, F))  &  ~ (r2_geomtrap(A, G, H, B, C, F, D)) )  | E=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r1_analmetr(A, F, G) & r2_geomtrap(A, F, G, B, D, C, E))  => r2_geomtrap(A, F, G, B, D, k1_geomtrap(A, B, C), k1_geomtrap(A, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( (r1_analmetr(A, F, G) &  (r2_geomtrap(A, F, G, B, D, C, E) &  ( ~ (r2_geomtrap(A, F, G, B, D, k1_geomtrap(A, B, E), k1_geomtrap(A, D, C)))  &  ~ (r2_geomtrap(A, F, G, B, D, k1_geomtrap(A, D, C), k1_geomtrap(A, B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  (! [L] :  (m1_subset_1(L, u1_struct_0(A)) =>  ( (D=k1_geomtrap(A, E, I) &  (D=k1_geomtrap(A, F, J) &  (D=k1_geomtrap(A, G, K) &  (D=k1_geomtrap(A, H, L) & r2_geomtrap(A, B, C, E, F, G, H)) ) ) )  => r2_geomtrap(A, B, C, I, J, K, L)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_analmetr(A, B, C) =>  (! [E] :  (v1_xreal_0(E) =>  (E=k2_geomtrap(A, B, C, D) <=>  (? [F] :  (v1_xreal_0(F) & D=k3_rlvect_1(A, k1_rlvect_1(A, B, E), k1_rlvect_1(A, C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_analmetr(A, B, C) =>  (! [E] :  (v1_xreal_0(E) =>  (E=k3_geomtrap(A, B, C, D) <=>  (? [F] :  (v1_xreal_0(F) & D=k3_rlvect_1(A, k1_rlvect_1(A, B, F), k1_rlvect_1(A, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k4_geomtrap(A, B, C, D, E)=k2_xcmplx_0(k3_xcmplx_0(k2_geomtrap(A, B, C, D), k2_geomtrap(A, B, C, E)), k3_xcmplx_0(k3_geomtrap(A, B, C, D), k3_geomtrap(A, B, C, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t29_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k4_geomtrap(A, B, C, D, E)=k4_geomtrap(A, B, C, E, D)) ) ) ) ) ) ) ) ) ) ).
fof(t30_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_analmetr(A, B, C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (k4_geomtrap(A, B, C, D, k3_rlvect_1(A, E, F))=k2_xcmplx_0(k4_geomtrap(A, B, C, D, E), k4_geomtrap(A, B, C, D, F)) &  (k4_geomtrap(A, B, C, D, k5_algstr_0(A, E, F))=k6_xcmplx_0(k4_geomtrap(A, B, C, D, E), k4_geomtrap(A, B, C, D, F)) &  (k4_geomtrap(A, B, C, k5_algstr_0(A, E, F), D)=k6_xcmplx_0(k4_geomtrap(A, B, C, E, D), k4_geomtrap(A, B, C, F, D)) & k4_geomtrap(A, B, C, k3_rlvect_1(A, E, F), D)=k2_xcmplx_0(k4_geomtrap(A, B, C, E, D), k4_geomtrap(A, B, C, F, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_analmetr(A, B, C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (v1_xreal_0(F) =>  (k4_geomtrap(A, B, C, k1_rlvect_1(A, D, F), E)=k3_xcmplx_0(F, k4_geomtrap(A, B, C, D, E)) &  (k4_geomtrap(A, B, C, D, k1_rlvect_1(A, E, F))=k3_xcmplx_0(F, k4_geomtrap(A, B, C, D, E)) &  (k4_geomtrap(A, B, C, k1_rlvect_1(A, D, F), E)=k3_xcmplx_0(k4_geomtrap(A, B, C, D, E), F) & k4_geomtrap(A, B, C, D, k1_rlvect_1(A, E, F))=k3_xcmplx_0(k4_geomtrap(A, B, C, D, E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_analmetr(A, B, C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_analmetr(A, D, E, B, C) <=> k4_geomtrap(A, B, C, D, E)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_analmetr(A, B, C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r3_analmetr(A, D, E, F, G, B, C) <=> k4_geomtrap(A, B, C, k5_algstr_0(A, E, D), k5_algstr_0(A, G, F))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_analmetr(A, B, C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => k3_xcmplx_0(2, k4_geomtrap(A, B, C, D, k1_geomtrap(A, E, F)))=k2_xcmplx_0(k4_geomtrap(A, B, C, D, E), k4_geomtrap(A, B, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_analmetr(A, B, C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (D=E)  & k4_geomtrap(A, B, C, k5_algstr_0(A, D, E), k5_algstr_0(A, D, E))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_analmetr(A, B, C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (v1_xreal_0(I) =>  ( (r2_geomtrap(A, B, C, D, E, F, G) &  (I=k3_xcmplx_0(k6_xcmplx_0(k4_geomtrap(A, B, C, k5_algstr_0(A, D, E), k3_rlvect_1(A, D, E)), k3_xcmplx_0(2, k4_geomtrap(A, B, C, k5_algstr_0(A, D, E), F))), k5_xcmplx_0(k4_geomtrap(A, B, C, k5_algstr_0(A, D, E), k5_algstr_0(A, D, E)))) & H=k3_rlvect_1(A, F, k1_rlvect_1(A, k5_algstr_0(A, D, E), I))) )  =>  (D=E | G=H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_analmetr(A, B, C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  (! [L] :  (m1_subset_1(L, u1_struct_0(A)) =>  (! [M] :  (m1_subset_1(M, u1_struct_0(A)) =>  ( (r2_geomtrap(A, B, C, D, E, F, J) &  (r2_geomtrap(A, B, C, D, E, G, K) &  (r2_geomtrap(A, B, C, D, E, H, L) &  (r2_geomtrap(A, B, C, D, E, I, M) & r1_analoaf(A, F, G, H, I)) ) ) )  =>  (D=E | r1_analoaf(A, J, K, L, M)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_analmetr(A, B, C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  ( (r2_geomtrap(A, B, C, D, E, F, I) &  (r2_geomtrap(A, B, C, D, E, G, J) &  (r2_geomtrap(A, B, C, D, E, H, K) & H=k1_geomtrap(A, F, G)) ) )  =>  (D=E | K=k1_geomtrap(A, I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_analmetr(A, B, C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  ( (r2_geomtrap(A, B, C, D, E, F, H) & r2_geomtrap(A, B, C, D, E, G, I))  =>  (D=E | r2_geomtrap(A, B, C, D, E, k1_geomtrap(A, F, G), k1_geomtrap(A, H, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_analmetr(A, B, C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  (! [L] :  (m1_subset_1(L, u1_struct_0(A)) =>  (! [M] :  (m1_subset_1(M, u1_struct_0(A)) =>  ( (r2_geomtrap(A, B, C, D, E, F, J) &  (r2_geomtrap(A, B, C, D, E, G, K) &  (r2_geomtrap(A, B, C, D, E, H, L) &  (r2_geomtrap(A, B, C, D, E, I, M) & r3_analmetr(A, F, G, H, I, B, C)) ) ) )  =>  (D=E | r3_analmetr(A, J, K, L, M, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  (! [L] :  (m1_subset_1(L, u1_struct_0(A)) =>  (! [M] :  (m1_subset_1(M, u1_struct_0(A)) =>  ( (r1_analmetr(A, B, C) &  (r2_geomtrap(A, B, C, D, E, F, J) &  (r2_geomtrap(A, B, C, D, E, G, K) &  (r2_geomtrap(A, B, C, D, E, H, L) &  (r2_geomtrap(A, B, C, D, E, I, M) & r2_geomtrap(A, B, C, F, G, H, I)) ) ) ) )  =>  (D=E | r2_geomtrap(A, B, C, J, K, L, M)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) =>  (D=k5_geomtrap(A, B, C) <=>  (! [E] :  (! [F] :  (r2_hidden(k4_tarski(E, F), D) <=>  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  (? [H] :  (m1_subset_1(H, u1_struct_0(A)) &  (? [I] :  (m1_subset_1(I, u1_struct_0(A)) &  (? [J] :  (m1_subset_1(J, u1_struct_0(A)) &  (E=k1_domain_1(u1_struct_0(A), u1_struct_0(A), G, H) &  (F=k1_domain_1(u1_struct_0(A), u1_struct_0(A), I, J) & r2_geomtrap(A, B, C, G, H, I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r2_tarski(k1_domain_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_domain_1(u1_struct_0(A), u1_struct_0(A), B, D), k1_domain_1(u1_struct_0(A), u1_struct_0(A), C, E)), k5_geomtrap(A, F, G)) <=> r2_geomtrap(A, F, G, B, D, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A))))) )  =>  (B=k6_geomtrap(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k4_binop_1(u1_struct_0(A), B, C, D)=k1_geomtrap(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(d9_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k7_geomtrap(A, B, C)=g1_geomtrap(u1_struct_0(A), k6_geomtrap(A), k5_geomtrap(A, B, C))) ) ) ) ) ) ).
fof(d11_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_geomtrap(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k8_geomtrap(A, B, C)=k4_binop_1(u1_struct_0(A), u1_midsp_1(A), B, C)) ) ) ) ) ) ).
fof(t43_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_geomtrap(A, B, C))) <=> m1_subset_1(D, u1_struct_0(A))) ) ) ) ) ) ) ) ).
fof(t44_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k7_geomtrap(A, F, G))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k7_geomtrap(A, F, G))) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(k7_geomtrap(A, F, G))) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(k7_geomtrap(A, F, G))) =>  ( (B=H &  (D=I &  (C=J & E=K) ) )  =>  (r2_analoaf(k7_geomtrap(A, F, G), H, I, J, K) <=> r2_geomtrap(A, F, G, B, D, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k7_geomtrap(A, D, E))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k7_geomtrap(A, D, E))) =>  ( (r1_analmetr(A, D, E) &  (B=F & C=G) )  => k1_geomtrap(A, B, C)=k8_geomtrap(k7_geomtrap(A, D, E), F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_geomtrap(A))  =>  (v2_geomtrap(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  (k8_geomtrap(A, B, C)=k8_geomtrap(A, C, B) &  (k8_geomtrap(A, B, B)=B &  (k8_geomtrap(A, k8_geomtrap(A, B, C), k8_geomtrap(A, D, E))=k8_geomtrap(A, k8_geomtrap(A, B, D), k8_geomtrap(A, C, E)) &  ( (? [L] :  (m1_subset_1(L, u1_struct_0(A)) & k8_geomtrap(A, L, B)=C) )  &  ( (k8_geomtrap(A, B, C)=k8_geomtrap(A, B, D) => C=D)  &  ( (r2_analoaf(A, B, C, D, E) => r2_analoaf(A, B, C, k8_geomtrap(A, B, D), k8_geomtrap(A, C, E)))  &  ( ~ ( (r2_analoaf(A, B, C, D, E) &  ( ~ (r2_analoaf(A, B, C, k8_geomtrap(A, B, E), k8_geomtrap(A, C, D)))  &  ~ (r2_analoaf(A, B, C, k8_geomtrap(A, C, D), k8_geomtrap(A, B, E))) ) ) )  &  ( ( (r2_analoaf(A, B, C, D, E) &  (k8_geomtrap(A, B, F)=J &  (k8_geomtrap(A, C, G)=J &  (k8_geomtrap(A, D, H)=J & k8_geomtrap(A, E, I)=J) ) ) )  => r2_analoaf(A, F, G, H, I))  &  ( ( (r2_analoaf(A, J, K, B, F) &  (r2_analoaf(A, J, K, C, G) &  (r2_analoaf(A, J, K, D, H) &  (r2_analoaf(A, J, K, E, I) & r2_analoaf(A, B, C, D, E)) ) ) )  =>  (J=K | r2_analoaf(A, F, G, H, I)) )  &  ( (r2_analoaf(A, B, C, C, D) =>  (B=C & C=D) )  &  ( ( (r2_analoaf(A, B, C, F, G) & r2_analoaf(A, B, C, H, I))  =>  (B=C | r2_analoaf(A, F, G, H, I)) )  &  ( (r2_analoaf(A, B, C, D, E) =>  (r2_analoaf(A, D, E, B, C) & r2_analoaf(A, C, B, E, D)) )  &  ( ~ ( (! [L] :  (m1_subset_1(L, u1_struct_0(A)) =>  ( ~ (r2_analoaf(A, B, C, D, L))  &  ~ (r2_analoaf(A, B, C, L, D)) ) ) ) )  &  ~ ( (r2_analoaf(A, B, C, D, J) &  (r2_analoaf(A, B, C, D, K) &  ( ~ (B=C)  &  ~ (J=K) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_analmetr(A, B, C) =>  ( ~ (v2_struct_0(k7_geomtrap(A, B, C)))  &  (v2_geomtrap(k7_geomtrap(A, B, C)) & l1_geomtrap(k7_geomtrap(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(d13_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_analoaf(A))  =>  (v3_geomtrap(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  ( (r2_analoaf(A, B, C, C, D) =>  (B=C & C=D) )  &  ( ( (r2_analoaf(A, B, C, F, G) & r2_analoaf(A, B, C, H, I))  =>  (B=C | r2_analoaf(A, F, G, H, I)) )  &  ( (r2_analoaf(A, B, C, D, E) =>  (r2_analoaf(A, D, E, B, C) & r2_analoaf(A, C, B, E, D)) )  &  ( ~ ( (! [L] :  (m1_subset_1(L, u1_struct_0(A)) =>  ( ~ (r2_analoaf(A, B, C, D, L))  &  ~ (r2_analoaf(A, B, C, L, D)) ) ) ) )  &  ~ ( (r2_analoaf(A, B, C, D, J) &  (r2_analoaf(A, B, C, D, K) &  ( ~ (B=C)  &  ~ (J=K) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_geomtrap(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) <=> m1_subset_1(B, u1_struct_0(k2_diraf(A)))) ) ) ) ).
fof(t48_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_geomtrap(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_diraf(A))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k2_diraf(A))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k2_diraf(A))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k2_diraf(A))) =>  ( (B=F &  (C=G &  (D=H & E=I) ) )  =>  (r2_analoaf(k2_diraf(A), F, G, H, I) <=>  (r2_analoaf(A, B, C, D, E) | r2_analoaf(A, B, C, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_analoaf(A))  =>  (v4_geomtrap(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r2_analoaf(A, B, C, C, B) &  ( ~ ( (r2_analoaf(A, B, C, D, E) &  (r2_analoaf(A, B, C, D, G) &  ( ~ (B=C)  &  ~ (E=G) ) ) ) )  &  ( ( (r2_analoaf(A, F, G, B, C) & r2_analoaf(A, F, G, D, E))  =>  (F=G | r2_analoaf(A, B, C, D, E)) )  &  ( (r2_analoaf(A, B, C, D, E) => r2_analoaf(A, D, E, B, C))  &  (? [H] :  (m1_subset_1(H, u1_struct_0(A)) & r2_analoaf(A, B, C, D, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_analoaf(A))  =>  (v5_geomtrap(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  ( (r2_analoaf(A, B, C, D, E) &  (r2_analoaf(A, B, C, F, G) &  (r2_analoaf(A, B, C, H, I) &  (r2_analoaf(A, B, C, J, K) & r2_analoaf(A, D, F, H, J)) ) ) )  =>  (B=C | r2_analoaf(A, E, G, I, K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_geomtrap, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k1_geomtrap(A, B, C), u1_struct_0(A))) ) ).
fof(commutativity_k1_geomtrap, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k1_geomtrap(A, B, C)=k1_geomtrap(A, C, B)) ) ).
fof(idempotence_k1_geomtrap, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k1_geomtrap(A, B, B)=B) ) ).
fof(dt_k2_geomtrap, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, u1_struct_0(A))) ) )  => v1_xreal_0(k2_geomtrap(A, B, C, D))) ) ).
fof(dt_k3_geomtrap, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, u1_struct_0(A))) ) )  => v1_xreal_0(k3_geomtrap(A, B, C, D))) ) ).
fof(dt_k4_geomtrap, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) &  (m1_subset_1(D, u1_struct_0(A)) & m1_subset_1(E, u1_struct_0(A))) ) ) )  => v1_xreal_0(k4_geomtrap(A, B, C, D, E))) ) ).
fof(dt_k5_geomtrap, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k5_geomtrap(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))))) ) ).
fof(dt_k6_geomtrap, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k6_geomtrap(A)) &  (v1_funct_2(k6_geomtrap(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(k6_geomtrap(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(abstractness_v1_geomtrap, axiom,  (! [A] :  (l1_geomtrap(A) =>  (v1_geomtrap(A) => A=g1_geomtrap(u1_struct_0(A), u1_midsp_1(A), u1_analoaf(A))) ) ) ).
fof(dt_l1_geomtrap, axiom,  (! [A] :  (l1_geomtrap(A) =>  (l1_analoaf(A) & l1_midsp_1(A)) ) ) ).
fof(existence_l1_geomtrap, axiom,  (? [A] : l1_geomtrap(A)) ).
fof(dt_g1_geomtrap, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k2_zfmisc_1(A, A)))))  =>  (v1_geomtrap(g1_geomtrap(A, B, C)) & l1_geomtrap(g1_geomtrap(A, B, C))) ) ) ).
fof(free_g1_geomtrap, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k2_zfmisc_1(A, A)))))  =>  (! [D, E, F] :  (g1_geomtrap(A, B, C)=g1_geomtrap(D, E, F) =>  (A=D &  (B=E & C=F) ) ) ) ) ) ).
fof(dt_k7_geomtrap, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (v1_geomtrap(k7_geomtrap(A, B, C)) & l1_geomtrap(k7_geomtrap(A, B, C))) ) ) ).
fof(dt_k8_geomtrap, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_geomtrap(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k8_geomtrap(A, B, C), u1_struct_0(A))) ) ).
fof(d1_gfacirc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(1, k5_margrel1), k5_margrel1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(1, k5_margrel1), k5_margrel1)))) )  =>  (A=k1_gfacirc1 <=>  (! [B] :  (m1_subset_1(B, k5_margrel1) => k1_funct_1(A, k10_binarith(k5_margrel1, B))=k8_margrel1(B)) ) ) ) ) ).
fof(t1_gfacirc1, axiom,  (! [A] :  (m1_subset_1(A, k5_margrel1) =>  (k1_funct_1(k1_gfacirc1, k10_binarith(k5_margrel1, A))=k8_margrel1(A) &  (k1_funct_1(k1_gfacirc1, k10_binarith(k5_margrel1, A))=k1_funct_1(k3_twoscomp, k10_finseq_1(A, A)) &  (k1_funct_1(k1_gfacirc1, k10_binarith(k4_ordinal1, k5_numbers))=1 & k1_funct_1(k1_gfacirc1, k10_binarith(k4_ordinal1, 1))=k5_numbers) ) ) ) ) ).
fof(d2_gfacirc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(1, k5_margrel1), k5_margrel1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(1, k5_margrel1), k5_margrel1)))) )  =>  (A=k2_gfacirc1 <=>  (! [B] :  (m1_subset_1(B, k5_margrel1) => k1_funct_1(A, k10_binarith(k5_margrel1, B))=B) ) ) ) ) ).
fof(t2_gfacirc1, axiom,  (! [A] :  (m1_subset_1(A, k5_margrel1) =>  (k1_funct_1(k2_gfacirc1, k10_binarith(k5_margrel1, A))=A &  (k1_funct_1(k2_gfacirc1, k10_binarith(k5_margrel1, A))=k1_funct_1(k3_facirc_1, k10_finseq_1(A, A)) &  (k1_funct_1(k2_gfacirc1, k10_binarith(k4_ordinal1, k5_numbers))=k5_numbers & k1_funct_1(k2_gfacirc1, k10_binarith(k4_ordinal1, 1))=1) ) ) ) ) ).
fof(d3_gfacirc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(2, k5_margrel1), k5_margrel1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, k5_margrel1), k5_margrel1)))) )  =>  (A=k3_gfacirc1 <=>  (! [B] :  (m1_subset_1(B, k5_margrel1) =>  (! [C] :  (m1_subset_1(C, k5_margrel1) => k1_funct_1(A, k10_finseq_1(B, C))=k9_margrel1(B, k8_margrel1(C))) ) ) ) ) ) ) ).
fof(t3_gfacirc1, axiom,  (! [A] :  (m1_subset_1(A, k5_margrel1) =>  (! [B] :  (m1_subset_1(B, k5_margrel1) =>  (k1_funct_1(k3_gfacirc1, k10_finseq_1(A, B))=k9_margrel1(A, k8_margrel1(B)) &  (k1_funct_1(k3_gfacirc1, k10_finseq_1(A, B))=k1_funct_1(k2_twoscomp, k10_finseq_1(B, A)) &  (k1_funct_1(k3_gfacirc1, k10_finseq_1(A, B))=k1_funct_1(k7_twoscomp, k10_finseq_1(A, B)) &  (k1_funct_1(k3_gfacirc1, k10_finseq_1(k5_numbers, k5_numbers))=k5_numbers &  (k1_funct_1(k3_gfacirc1, k10_finseq_1(k5_numbers, 1))=k5_numbers &  (k1_funct_1(k3_gfacirc1, k10_finseq_1(1, k5_numbers))=1 & k1_funct_1(k3_gfacirc1, k10_finseq_1(1, 1))=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(d4_gfacirc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(2, k5_margrel1), k5_margrel1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, k5_margrel1), k5_margrel1)))) )  =>  (A=k4_gfacirc1 <=>  (! [B] :  (m1_subset_1(B, k5_margrel1) =>  (! [C] :  (m1_subset_1(C, k5_margrel1) => k1_funct_1(A, k10_finseq_1(B, C))=k2_binarith(B, k8_margrel1(C))) ) ) ) ) ) ) ).
fof(t4_gfacirc1, axiom,  (! [A] :  (m1_subset_1(A, k5_margrel1) =>  (! [B] :  (m1_subset_1(B, k5_margrel1) =>  (k1_funct_1(k4_gfacirc1, k10_finseq_1(A, B))=k2_binarith(A, k8_margrel1(B)) &  (k1_funct_1(k4_gfacirc1, k10_finseq_1(A, B))=k1_funct_1(k8_twoscomp, k10_finseq_1(A, B)) &  (k1_funct_1(k4_gfacirc1, k10_finseq_1(A, B))=k1_funct_1(k2_facirc_1, k10_finseq_1(k1_funct_1(k6_twoscomp, k10_finseq_1(A, B)), k1_funct_1(k3_facirc_1, k10_finseq_1(A, B)))) &  (k1_funct_1(k4_gfacirc1, k10_finseq_1(k5_numbers, k5_numbers))=1 &  (k1_funct_1(k4_gfacirc1, k10_finseq_1(k5_numbers, 1))=k5_numbers &  (k1_funct_1(k4_gfacirc1, k10_finseq_1(1, k5_numbers))=k5_numbers & k1_funct_1(k4_gfacirc1, k10_finseq_1(1, 1))=1) ) ) ) ) ) ) ) ) ) ).
fof(t5_gfacirc1, axiom,  (! [A] :  (m1_subset_1(A, k5_margrel1) =>  (! [B] :  (m1_subset_1(B, k5_margrel1) =>  (k1_funct_1(k1_gfacirc1, k9_finseq_1(k1_funct_1(k1_facirc_1, k10_finseq_1(A, B))))=k1_funct_1(k8_twoscomp, k10_finseq_1(A, B)) &  (k1_funct_1(k1_gfacirc1, k9_finseq_1(k1_funct_1(k1_facirc_1, k10_finseq_1(A, B))))=k1_funct_1(k4_gfacirc1, k10_finseq_1(A, B)) & k1_funct_1(k1_facirc_1, k10_finseq_1(k1_funct_1(k1_gfacirc1, k10_binarith(k5_margrel1, A)), k1_funct_1(k1_gfacirc1, k10_binarith(k5_margrel1, B))))=k1_funct_1(k1_facirc_1, k10_finseq_1(A, B))) ) ) ) ) ) ).
fof(t6_gfacirc1, axiom,  (! [A] :  (m1_subset_1(A, k5_margrel1) =>  (! [B] :  (m1_subset_1(B, k5_margrel1) =>  (! [C] :  (m1_subset_1(C, k5_margrel1) => k1_funct_1(k1_gfacirc1, k9_finseq_1(k1_funct_1(k1_facirc_1, k10_finseq_1(k1_funct_1(k4_gfacirc1, k10_finseq_1(A, B)), C))))=k1_funct_1(k4_gfacirc1, k10_finseq_1(k1_funct_1(k4_gfacirc1, k10_finseq_1(A, B)), C))) ) ) ) ) ) ).
fof(t7_gfacirc1, axiom,  (! [A] :  (m1_subset_1(A, k5_margrel1) =>  (! [B] :  (m1_subset_1(B, k5_margrel1) =>  (! [C] :  (m1_subset_1(C, k5_margrel1) => k2_binarith(k2_binarith(k8_margrel1(A), B), k8_margrel1(C))=k2_binarith(k2_binarith(A, k8_margrel1(B)), k8_margrel1(C))) ) ) ) ) ) ).
fof(t8_gfacirc1, axiom,  (! [A] :  (m1_subset_1(A, k5_margrel1) =>  (! [B] :  (m1_subset_1(B, k5_margrel1) =>  (! [C] :  (m1_subset_1(C, k5_margrel1) => k1_funct_1(k4_gfacirc1, k10_finseq_1(k1_funct_1(k8_twoscomp, k10_finseq_1(A, B)), C))=k1_funct_1(k4_gfacirc1, k10_finseq_1(k1_funct_1(k4_gfacirc1, k10_finseq_1(A, B)), C))) ) ) ) ) ) ).
fof(t9_gfacirc1, axiom,  (! [A] :  (m1_subset_1(A, k5_margrel1) =>  (! [B] :  (m1_subset_1(B, k5_margrel1) =>  (! [C] :  (m1_subset_1(C, k5_margrel1) => k1_funct_1(k1_gfacirc1, k9_finseq_1(k1_funct_1(k4_gfacirc1, k10_finseq_1(k1_funct_1(k9_twoscomp, k10_finseq_1(A, B)), C))))=k1_funct_1(k1_facirc_1, k10_finseq_1(k1_funct_1(k1_facirc_1, k10_finseq_1(A, B)), C))) ) ) ) ) ) ).
fof(d5_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k5_gfacirc1(A, B, C)=k2_circcomb(k2_circcomb(k5_circcomb(k3_facirc_1, k10_finseq_1(A, B)), k5_circcomb(k3_facirc_1, k10_finseq_1(B, C))), k5_circcomb(k3_facirc_1, k10_finseq_1(C, A)))) ) ) ).
fof(d6_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k6_gfacirc1(A, B, C)=k3_circcomb(k2_circcomb(k5_circcomb(k3_facirc_1, k10_finseq_1(A, B)), k5_circcomb(k3_facirc_1, k10_finseq_1(B, C))), k5_circcomb(k3_facirc_1, k10_finseq_1(C, A)), k3_circcomb(k5_circcomb(k3_facirc_1, k10_finseq_1(A, B)), k5_circcomb(k3_facirc_1, k10_finseq_1(B, C)), k6_facirc_1(A, B, k3_facirc_1), k6_facirc_1(B, C, k3_facirc_1)), k6_facirc_1(C, A, k3_facirc_1))) ) ) ).
fof(d7_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k7_gfacirc1(A, B, C)=k2_circcomb(k5_gfacirc1(A, B, C), k5_circcomb(k4_facirc_1, k11_finseq_1(k4_tarski(k10_finseq_1(A, B), k3_facirc_1), k4_tarski(k10_finseq_1(B, C), k3_facirc_1), k4_tarski(k10_finseq_1(C, A), k3_facirc_1))))) ) ) ).
fof(d8_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k8_gfacirc1(A, B, C)=k3_circcomb(k5_gfacirc1(A, B, C), k5_circcomb(k4_facirc_1, k11_finseq_1(k4_tarski(k10_finseq_1(A, B), k3_facirc_1), k4_tarski(k10_finseq_1(B, C), k3_facirc_1), k4_tarski(k10_finseq_1(C, A), k3_facirc_1))), k6_gfacirc1(A, B, C), k7_facirc_1(k4_tarski(k10_finseq_1(A, B), k3_facirc_1), k4_tarski(k10_finseq_1(B, C), k3_facirc_1), k4_tarski(k10_finseq_1(C, A), k3_facirc_1), k4_facirc_1))) ) ) ).
fof(d9_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k9_gfacirc1(A, B, C)=k4_tarski(k11_finseq_1(k4_tarski(k10_finseq_1(A, B), k3_facirc_1), k4_tarski(k10_finseq_1(B, C), k3_facirc_1), k4_tarski(k10_finseq_1(C, A), k3_facirc_1)), k4_facirc_1)) ) ) ).
fof(t10_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k3_msafree2(k5_gfacirc1(A, B, C))=k1_enumset1(k4_tarski(k10_finseq_1(A, B), k3_facirc_1), k4_tarski(k10_finseq_1(B, C), k3_facirc_1), k4_tarski(k10_finseq_1(C, A), k3_facirc_1))) ) ) ).
fof(t11_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k3_msafree2(k7_gfacirc1(A, B, C))=k2_xboole_0(k1_enumset1(k4_tarski(k10_finseq_1(A, B), k3_facirc_1), k4_tarski(k10_finseq_1(B, C), k3_facirc_1), k4_tarski(k10_finseq_1(C, A), k3_facirc_1)), k1_tarski(k9_gfacirc1(A, B, C)))) ) ) ).
fof(t12_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : v1_relat_1(k3_msafree2(k7_gfacirc1(A, B, C)))) ) ) ).
fof(t13_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (A=k4_tarski(k10_finseq_1(B, C), k3_facirc_1))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k3_facirc_1))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k3_facirc_1))  &  ~ (k2_msafree2(k5_gfacirc1(A, B, C))=k1_enumset1(A, B, C)) ) ) ) ) ) ) ) ).
fof(t14_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (A=k4_tarski(k10_finseq_1(B, C), k3_facirc_1))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k3_facirc_1))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k3_facirc_1))  &  ~ (k2_msafree2(k7_gfacirc1(A, B, C))=k1_enumset1(A, B, C)) ) ) ) ) ) ) ) ).
fof(t15_gfacirc1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  ~ (v1_facirc_1(k2_msafree2(k7_gfacirc1(A, B, C)))) ) ) ) ) ) ) ).
fof(t16_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_tarski(A, u1_struct_0(k7_gfacirc1(A, B, C))) &  (r2_tarski(B, u1_struct_0(k7_gfacirc1(A, B, C))) &  (r2_tarski(C, u1_struct_0(k7_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k3_facirc_1), u1_struct_0(k7_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(B, C), k3_facirc_1), u1_struct_0(k7_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(C, A), k3_facirc_1), u1_struct_0(k7_gfacirc1(A, B, C))) & r2_hidden(k4_tarski(k11_finseq_1(k4_tarski(k10_finseq_1(A, B), k3_facirc_1), k4_tarski(k10_finseq_1(B, C), k3_facirc_1), k4_tarski(k10_finseq_1(C, A), k3_facirc_1)), k4_facirc_1), u1_struct_0(k7_gfacirc1(A, B, C)))) ) ) ) ) ) ) ) ) ).
fof(t17_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k3_facirc_1), k3_msafree2(k7_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(B, C), k3_facirc_1), k3_msafree2(k7_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(C, A), k3_facirc_1), k3_msafree2(k7_gfacirc1(A, B, C))) & r2_tarski(k9_gfacirc1(A, B, C), k3_msafree2(k7_gfacirc1(A, B, C)))) ) ) ) ) ) ).
fof(t18_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (A=k4_tarski(k10_finseq_1(B, C), k3_facirc_1))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k3_facirc_1))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k3_facirc_1))  &  ~ ( (r2_tarski(A, k2_msafree2(k7_gfacirc1(A, B, C))) &  (r2_tarski(B, k2_msafree2(k7_gfacirc1(A, B, C))) & r2_tarski(C, k2_msafree2(k7_gfacirc1(A, B, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t19_gfacirc1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  => k2_msafree2(k7_gfacirc1(A, B, C))=k1_enumset1(A, B, C)) ) ) ) ) ) ).
fof(t20_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k7_gfacirc1(A, B, C), k8_gfacirc1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  (! [G] :  (m1_subset_1(G, k5_margrel1) =>  ( (E=k1_funct_1(D, A) &  (F=k1_funct_1(D, B) & G=k1_funct_1(D, C)) )  =>  (k1_funct_1(k6_circuit2(k7_gfacirc1(A, B, C), k8_gfacirc1(A, B, C), D), k4_tarski(k10_finseq_1(A, B), k3_facirc_1))=k9_margrel1(E, F) &  (k1_funct_1(k6_circuit2(k7_gfacirc1(A, B, C), k8_gfacirc1(A, B, C), D), k4_tarski(k10_finseq_1(B, C), k3_facirc_1))=k9_margrel1(F, G) & k1_funct_1(k6_circuit2(k7_gfacirc1(A, B, C), k8_gfacirc1(A, B, C), D), k4_tarski(k10_finseq_1(C, A), k3_facirc_1))=k9_margrel1(G, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k7_gfacirc1(A, B, C), k8_gfacirc1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  (! [G] :  (m1_subset_1(G, k5_margrel1) =>  ( (E=k1_funct_1(D, k4_tarski(k10_finseq_1(A, B), k3_facirc_1)) &  (F=k1_funct_1(D, k4_tarski(k10_finseq_1(B, C), k3_facirc_1)) & G=k1_funct_1(D, k4_tarski(k10_finseq_1(C, A), k3_facirc_1))) )  => k1_twoscomp(k7_gfacirc1(A, B, C), k8_gfacirc1(A, B, C), k6_circuit2(k7_gfacirc1(A, B, C), k8_gfacirc1(A, B, C), D), k9_gfacirc1(A, B, C))=k1_binarith(k1_binarith(E, F), G)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (A=k4_tarski(k10_finseq_1(B, C), k3_facirc_1))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k3_facirc_1))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k3_facirc_1))  &  (? [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k7_gfacirc1(A, B, C), k8_gfacirc1(A, B, C)))) &  (? [E] :  (m1_subset_1(E, k5_margrel1) &  (? [F] :  (m1_subset_1(F, k5_margrel1) &  (? [G] :  (m1_subset_1(G, k5_margrel1) &  (E=k1_funct_1(D, A) &  (F=k1_funct_1(D, B) &  (G=k1_funct_1(D, C) &  ~ ( (k1_twoscomp(k7_gfacirc1(A, B, C), k8_gfacirc1(A, B, C), k5_facirc_1(k7_gfacirc1(A, B, C), k8_gfacirc1(A, B, C), D, 2), k9_gfacirc1(A, B, C))=k1_binarith(k1_binarith(k9_margrel1(E, F), k9_margrel1(F, G)), k9_margrel1(G, E)) &  (k1_funct_1(k5_facirc_1(k7_gfacirc1(A, B, C), k8_gfacirc1(A, B, C), D, 2), k4_tarski(k10_finseq_1(A, B), k3_facirc_1))=k9_margrel1(E, F) &  (k1_funct_1(k5_facirc_1(k7_gfacirc1(A, B, C), k8_gfacirc1(A, B, C), D, 2), k4_tarski(k10_finseq_1(B, C), k3_facirc_1))=k9_margrel1(F, G) & k1_funct_1(k5_facirc_1(k7_gfacirc1(A, B, C), k8_gfacirc1(A, B, C), D, 2), k4_tarski(k10_finseq_1(C, A), k3_facirc_1))=k9_margrel1(G, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (A=k4_tarski(k10_finseq_1(B, C), k3_facirc_1))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k3_facirc_1))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k3_facirc_1))  &  ~ ( (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k7_gfacirc1(A, B, C), k8_gfacirc1(A, B, C)))) => v1_circuit2(k5_facirc_1(k7_gfacirc1(A, B, C), k8_gfacirc1(A, B, C), D, 2), k7_gfacirc1(A, B, C), k8_gfacirc1(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(d10_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k10_gfacirc1(A, B, C)=k8_facirc_1(A, B, C, k1_facirc_1)) ) ) ).
fof(d11_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k11_gfacirc1(A, B, C)=k10_facirc_1(A, B, C, k1_facirc_1)) ) ) ).
fof(d12_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k12_gfacirc1(A, B, C)=k9_facirc_1(A, B, C, k1_facirc_1)) ) ) ).
fof(t24_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k3_msafree2(k10_gfacirc1(A, B, C))=k2_xboole_0(k1_tarski(k4_tarski(k10_finseq_1(A, B), k1_facirc_1)), k1_tarski(k12_gfacirc1(A, B, C)))) ) ) ).
fof(t25_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_tarski(A, u1_struct_0(k10_gfacirc1(A, B, C))) &  (r2_tarski(B, u1_struct_0(k10_gfacirc1(A, B, C))) &  (r2_tarski(C, u1_struct_0(k10_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k1_facirc_1), u1_struct_0(k10_gfacirc1(A, B, C))) & r2_hidden(k4_tarski(k10_finseq_1(k4_tarski(k10_finseq_1(A, B), k1_facirc_1), C), k1_facirc_1), u1_struct_0(k10_gfacirc1(A, B, C)))) ) ) ) ) ) ) ).
fof(t26_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k1_facirc_1), k3_msafree2(k10_gfacirc1(A, B, C))) & r2_tarski(k12_gfacirc1(A, B, C), k3_msafree2(k10_gfacirc1(A, B, C)))) ) ) ) ).
fof(t27_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k1_facirc_1))  =>  (r2_tarski(A, k2_msafree2(k10_gfacirc1(A, B, C))) &  (r2_tarski(B, k2_msafree2(k10_gfacirc1(A, B, C))) & r2_tarski(C, k2_msafree2(k10_gfacirc1(A, B, C)))) ) ) ) ) ) ).
fof(t28_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k1_facirc_1))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k10_gfacirc1(A, B, C), k11_gfacirc1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  (! [G] :  (m1_subset_1(G, k5_margrel1) =>  ( (E=k1_funct_1(D, A) &  (F=k1_funct_1(D, B) & G=k1_funct_1(D, C)) )  =>  (k1_funct_1(k6_circuit2(k10_gfacirc1(A, B, C), k11_gfacirc1(A, B, C), D), k4_tarski(k10_finseq_1(A, B), k1_facirc_1))=k2_binarith(E, F) &  (k1_funct_1(k6_circuit2(k10_gfacirc1(A, B, C), k11_gfacirc1(A, B, C), D), A)=E &  (k1_funct_1(k6_circuit2(k10_gfacirc1(A, B, C), k11_gfacirc1(A, B, C), D), B)=F & k1_funct_1(k6_circuit2(k10_gfacirc1(A, B, C), k11_gfacirc1(A, B, C), D), C)=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k1_facirc_1))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k10_gfacirc1(A, B, C), k11_gfacirc1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  (! [G] :  (m1_subset_1(G, k5_margrel1) =>  (! [H] :  (m1_subset_1(H, k5_margrel1) =>  ( (E=k1_funct_1(D, k4_tarski(k10_finseq_1(A, B), k1_facirc_1)) & H=k1_funct_1(D, C))  => k1_twoscomp(k10_gfacirc1(A, B, C), k11_gfacirc1(A, B, C), k6_circuit2(k10_gfacirc1(A, B, C), k11_gfacirc1(A, B, C), D), k12_gfacirc1(A, B, C))=k2_binarith(E, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k1_facirc_1))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k10_gfacirc1(A, B, C), k11_gfacirc1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  (! [G] :  (m1_subset_1(G, k5_margrel1) =>  ( (E=k1_funct_1(D, A) &  (F=k1_funct_1(D, B) & G=k1_funct_1(D, C)) )  =>  (k1_twoscomp(k10_gfacirc1(A, B, C), k11_gfacirc1(A, B, C), k5_facirc_1(k10_gfacirc1(A, B, C), k11_gfacirc1(A, B, C), D, 2), k12_gfacirc1(A, B, C))=k2_binarith(k2_binarith(E, F), G) &  (k1_funct_1(k5_facirc_1(k10_gfacirc1(A, B, C), k11_gfacirc1(A, B, C), D, 2), k4_tarski(k10_finseq_1(A, B), k1_facirc_1))=k2_binarith(E, F) &  (k1_funct_1(k5_facirc_1(k10_gfacirc1(A, B, C), k11_gfacirc1(A, B, C), D, 2), A)=E &  (k1_funct_1(k5_facirc_1(k10_gfacirc1(A, B, C), k11_gfacirc1(A, B, C), D, 2), B)=F & k1_funct_1(k5_facirc_1(k10_gfacirc1(A, B, C), k11_gfacirc1(A, B, C), D, 2), C)=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k13_gfacirc1(A, B, C)=k2_circcomb(k10_gfacirc1(A, B, C), k7_gfacirc1(A, B, C))) ) ) ).
fof(d14_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k14_gfacirc1(A, B, C)=k3_circcomb(k10_gfacirc1(A, B, C), k7_gfacirc1(A, B, C), k11_gfacirc1(A, B, C), k8_gfacirc1(A, B, C))) ) ) ).
fof(t31_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k3_msafree2(k13_gfacirc1(A, B, C))=k2_xboole_0(k2_xboole_0(k2_xboole_0(k1_tarski(k4_tarski(k10_finseq_1(A, B), k1_facirc_1)), k1_tarski(k12_gfacirc1(A, B, C))), k1_enumset1(k4_tarski(k10_finseq_1(A, B), k3_facirc_1), k4_tarski(k10_finseq_1(B, C), k3_facirc_1), k4_tarski(k10_finseq_1(C, A), k3_facirc_1))), k1_tarski(k9_gfacirc1(A, B, C)))) ) ) ).
fof(t32_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : v1_relat_1(k3_msafree2(k13_gfacirc1(A, B, C)))) ) ) ).
fof(t33_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (C=k4_tarski(k10_finseq_1(A, B), k1_facirc_1))  &  ( ~ (A=k4_tarski(k10_finseq_1(B, C), k3_facirc_1))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k3_facirc_1))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k3_facirc_1))  &  ~ (k2_msafree2(k13_gfacirc1(A, B, C))=k1_enumset1(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t34_gfacirc1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  => k2_msafree2(k13_gfacirc1(A, B, C))=k1_enumset1(A, B, C)) ) ) ) ) ) ).
fof(t35_gfacirc1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  ~ (v1_facirc_1(k2_msafree2(k13_gfacirc1(A, B, C)))) ) ) ) ) ) ) ).
fof(t36_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_tarski(A, u1_struct_0(k13_gfacirc1(A, B, C))) &  (r2_tarski(B, u1_struct_0(k13_gfacirc1(A, B, C))) &  (r2_tarski(C, u1_struct_0(k13_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k1_facirc_1), u1_struct_0(k13_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(k4_tarski(k10_finseq_1(A, B), k1_facirc_1), C), k1_facirc_1), u1_struct_0(k13_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k3_facirc_1), u1_struct_0(k13_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(B, C), k3_facirc_1), u1_struct_0(k13_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(C, A), k3_facirc_1), u1_struct_0(k13_gfacirc1(A, B, C))) & r2_hidden(k4_tarski(k11_finseq_1(k4_tarski(k10_finseq_1(A, B), k3_facirc_1), k4_tarski(k10_finseq_1(B, C), k3_facirc_1), k4_tarski(k10_finseq_1(C, A), k3_facirc_1)), k4_facirc_1), u1_struct_0(k13_gfacirc1(A, B, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k1_facirc_1), k3_msafree2(k13_gfacirc1(A, B, C))) &  (r2_tarski(k12_gfacirc1(A, B, C), k3_msafree2(k13_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k3_facirc_1), k3_msafree2(k13_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(B, C), k3_facirc_1), k3_msafree2(k13_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(C, A), k3_facirc_1), k3_msafree2(k13_gfacirc1(A, B, C))) & r2_tarski(k9_gfacirc1(A, B, C), k3_msafree2(k13_gfacirc1(A, B, C)))) ) ) ) ) ) ) ) ).
fof(t38_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (C=k4_tarski(k10_finseq_1(A, B), k1_facirc_1))  &  ( ~ (A=k4_tarski(k10_finseq_1(B, C), k3_facirc_1))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k3_facirc_1))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k3_facirc_1))  &  ~ ( (r2_tarski(A, k2_msafree2(k13_gfacirc1(A, B, C))) &  (r2_tarski(B, k2_msafree2(k13_gfacirc1(A, B, C))) & r2_tarski(C, k2_msafree2(k13_gfacirc1(A, B, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k15_gfacirc1(A, B, C)=k4_tarski(k11_finseq_1(k4_tarski(k10_finseq_1(A, B), k3_facirc_1), k4_tarski(k10_finseq_1(B, C), k3_facirc_1), k4_tarski(k10_finseq_1(C, A), k3_facirc_1)), k4_facirc_1)) ) ) ).
fof(d16_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k16_gfacirc1(A, B, C)=k9_facirc_1(A, B, C, k1_facirc_1)) ) ) ).
fof(t39_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (C=k4_tarski(k10_finseq_1(A, B), k1_facirc_1))  &  ( ~ (A=k4_tarski(k10_finseq_1(B, C), k3_facirc_1))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k3_facirc_1))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k3_facirc_1))  &  (? [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k13_gfacirc1(A, B, C), k14_gfacirc1(A, B, C)))) &  (? [E] :  (m1_subset_1(E, k5_margrel1) &  (? [F] :  (m1_subset_1(F, k5_margrel1) &  (? [G] :  (m1_subset_1(G, k5_margrel1) &  (E=k1_funct_1(D, A) &  (F=k1_funct_1(D, B) &  (G=k1_funct_1(D, C) &  ~ ( (k1_funct_1(k5_facirc_1(k13_gfacirc1(A, B, C), k14_gfacirc1(A, B, C), D, 2), k12_gfacirc1(A, B, C))=k2_binarith(k2_binarith(E, F), G) & k1_funct_1(k5_facirc_1(k13_gfacirc1(A, B, C), k14_gfacirc1(A, B, C), D, 2), k9_gfacirc1(A, B, C))=k1_binarith(k1_binarith(k9_margrel1(E, F), k9_margrel1(F, G)), k9_margrel1(G, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (C=k4_tarski(k10_finseq_1(A, B), k1_facirc_1))  &  ( ~ (A=k4_tarski(k10_finseq_1(B, C), k3_facirc_1))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k3_facirc_1))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k3_facirc_1))  &  ~ ( (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k13_gfacirc1(A, B, C), k14_gfacirc1(A, B, C)))) => v1_circuit2(k5_facirc_1(k13_gfacirc1(A, B, C), k14_gfacirc1(A, B, C), D, 2), k13_gfacirc1(A, B, C), k14_gfacirc1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k17_gfacirc1(A, B, C)=k2_circcomb(k2_circcomb(k5_circcomb(k3_gfacirc1, k10_finseq_1(A, B)), k5_circcomb(k2_twoscomp, k10_finseq_1(B, C))), k5_circcomb(k3_facirc_1, k10_finseq_1(C, A)))) ) ) ).
fof(d18_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k18_gfacirc1(A, B, C)=k3_circcomb(k2_circcomb(k5_circcomb(k3_gfacirc1, k10_finseq_1(A, B)), k5_circcomb(k2_twoscomp, k10_finseq_1(B, C))), k5_circcomb(k3_facirc_1, k10_finseq_1(C, A)), k3_circcomb(k5_circcomb(k3_gfacirc1, k10_finseq_1(A, B)), k5_circcomb(k2_twoscomp, k10_finseq_1(B, C)), k6_facirc_1(A, B, k3_gfacirc1), k6_facirc_1(B, C, k2_twoscomp)), k6_facirc_1(C, A, k3_facirc_1))) ) ) ).
fof(d19_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k19_gfacirc1(A, B, C)=k2_circcomb(k17_gfacirc1(A, B, C), k5_circcomb(k4_facirc_1, k11_finseq_1(k4_tarski(k10_finseq_1(A, B), k3_gfacirc1), k4_tarski(k10_finseq_1(B, C), k2_twoscomp), k4_tarski(k10_finseq_1(C, A), k3_facirc_1))))) ) ) ).
fof(d20_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k20_gfacirc1(A, B, C)=k3_circcomb(k17_gfacirc1(A, B, C), k5_circcomb(k4_facirc_1, k11_finseq_1(k4_tarski(k10_finseq_1(A, B), k3_gfacirc1), k4_tarski(k10_finseq_1(B, C), k2_twoscomp), k4_tarski(k10_finseq_1(C, A), k3_facirc_1))), k18_gfacirc1(A, B, C), k7_facirc_1(k4_tarski(k10_finseq_1(A, B), k3_gfacirc1), k4_tarski(k10_finseq_1(B, C), k2_twoscomp), k4_tarski(k10_finseq_1(C, A), k3_facirc_1), k4_facirc_1))) ) ) ).
fof(d21_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k21_gfacirc1(A, B, C)=k4_tarski(k11_finseq_1(k4_tarski(k10_finseq_1(A, B), k3_gfacirc1), k4_tarski(k10_finseq_1(B, C), k2_twoscomp), k4_tarski(k10_finseq_1(C, A), k3_facirc_1)), k4_facirc_1)) ) ) ).
fof(t41_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k3_msafree2(k17_gfacirc1(A, B, C))=k1_enumset1(k4_tarski(k10_finseq_1(A, B), k3_gfacirc1), k4_tarski(k10_finseq_1(B, C), k2_twoscomp), k4_tarski(k10_finseq_1(C, A), k3_facirc_1))) ) ) ).
fof(t42_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k3_msafree2(k19_gfacirc1(A, B, C))=k2_xboole_0(k1_enumset1(k4_tarski(k10_finseq_1(A, B), k3_gfacirc1), k4_tarski(k10_finseq_1(B, C), k2_twoscomp), k4_tarski(k10_finseq_1(C, A), k3_facirc_1)), k1_tarski(k21_gfacirc1(A, B, C)))) ) ) ).
fof(t43_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : v1_relat_1(k3_msafree2(k19_gfacirc1(A, B, C)))) ) ) ).
fof(t44_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (A=k4_tarski(k10_finseq_1(B, C), k2_twoscomp))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k3_facirc_1))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k3_gfacirc1))  &  ~ (k2_msafree2(k17_gfacirc1(A, B, C))=k1_enumset1(A, B, C)) ) ) ) ) ) ) ) ).
fof(t45_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (A=k4_tarski(k10_finseq_1(B, C), k2_twoscomp))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k3_facirc_1))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k3_gfacirc1))  &  ~ (k2_msafree2(k19_gfacirc1(A, B, C))=k1_enumset1(A, B, C)) ) ) ) ) ) ) ) ).
fof(t46_gfacirc1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  ~ (v1_facirc_1(k2_msafree2(k19_gfacirc1(A, B, C)))) ) ) ) ) ) ) ).
fof(t47_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_tarski(A, u1_struct_0(k19_gfacirc1(A, B, C))) &  (r2_tarski(B, u1_struct_0(k19_gfacirc1(A, B, C))) &  (r2_tarski(C, u1_struct_0(k19_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k3_gfacirc1), u1_struct_0(k19_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(B, C), k2_twoscomp), u1_struct_0(k19_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(C, A), k3_facirc_1), u1_struct_0(k19_gfacirc1(A, B, C))) & r2_hidden(k4_tarski(k11_finseq_1(k4_tarski(k10_finseq_1(A, B), k3_gfacirc1), k4_tarski(k10_finseq_1(B, C), k2_twoscomp), k4_tarski(k10_finseq_1(C, A), k3_facirc_1)), k4_facirc_1), u1_struct_0(k19_gfacirc1(A, B, C)))) ) ) ) ) ) ) ) ) ).
fof(t48_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k3_gfacirc1), k3_msafree2(k19_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(B, C), k2_twoscomp), k3_msafree2(k19_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(C, A), k3_facirc_1), k3_msafree2(k19_gfacirc1(A, B, C))) & r2_tarski(k21_gfacirc1(A, B, C), k3_msafree2(k19_gfacirc1(A, B, C)))) ) ) ) ) ) ).
fof(t49_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (A=k4_tarski(k10_finseq_1(B, C), k2_twoscomp))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k3_facirc_1))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k3_gfacirc1))  &  ~ ( (r2_tarski(A, k2_msafree2(k19_gfacirc1(A, B, C))) &  (r2_tarski(B, k2_msafree2(k19_gfacirc1(A, B, C))) & r2_tarski(C, k2_msafree2(k19_gfacirc1(A, B, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t50_gfacirc1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  => k2_msafree2(k19_gfacirc1(A, B, C))=k1_enumset1(A, B, C)) ) ) ) ) ) ).
fof(t51_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k19_gfacirc1(A, B, C), k20_gfacirc1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  (! [G] :  (m1_subset_1(G, k5_margrel1) =>  ( (E=k1_funct_1(D, A) &  (F=k1_funct_1(D, B) & G=k1_funct_1(D, C)) )  =>  (k1_funct_1(k6_circuit2(k19_gfacirc1(A, B, C), k20_gfacirc1(A, B, C), D), k4_tarski(k10_finseq_1(A, B), k3_gfacirc1))=k9_margrel1(E, k8_margrel1(F)) &  (k1_funct_1(k6_circuit2(k19_gfacirc1(A, B, C), k20_gfacirc1(A, B, C), D), k4_tarski(k10_finseq_1(B, C), k2_twoscomp))=k9_margrel1(k8_margrel1(F), G) & k1_funct_1(k6_circuit2(k19_gfacirc1(A, B, C), k20_gfacirc1(A, B, C), D), k4_tarski(k10_finseq_1(C, A), k3_facirc_1))=k9_margrel1(G, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k19_gfacirc1(A, B, C), k20_gfacirc1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  (! [G] :  (m1_subset_1(G, k5_margrel1) =>  ( (E=k1_funct_1(D, k4_tarski(k10_finseq_1(A, B), k3_gfacirc1)) &  (F=k1_funct_1(D, k4_tarski(k10_finseq_1(B, C), k2_twoscomp)) & G=k1_funct_1(D, k4_tarski(k10_finseq_1(C, A), k3_facirc_1))) )  => k1_twoscomp(k19_gfacirc1(A, B, C), k20_gfacirc1(A, B, C), k6_circuit2(k19_gfacirc1(A, B, C), k20_gfacirc1(A, B, C), D), k21_gfacirc1(A, B, C))=k1_binarith(k1_binarith(E, F), G)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (A=k4_tarski(k10_finseq_1(B, C), k2_twoscomp))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k3_facirc_1))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k3_gfacirc1))  &  (? [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k19_gfacirc1(A, B, C), k20_gfacirc1(A, B, C)))) &  (? [E] :  (m1_subset_1(E, k5_margrel1) &  (? [F] :  (m1_subset_1(F, k5_margrel1) &  (? [G] :  (m1_subset_1(G, k5_margrel1) &  (E=k1_funct_1(D, A) &  (F=k1_funct_1(D, B) &  (G=k1_funct_1(D, C) &  ~ ( (k1_twoscomp(k19_gfacirc1(A, B, C), k20_gfacirc1(A, B, C), k5_facirc_1(k19_gfacirc1(A, B, C), k20_gfacirc1(A, B, C), D, 2), k21_gfacirc1(A, B, C))=k1_binarith(k1_binarith(k9_margrel1(E, k8_margrel1(F)), k9_margrel1(k8_margrel1(F), G)), k9_margrel1(G, E)) &  (k1_funct_1(k5_facirc_1(k19_gfacirc1(A, B, C), k20_gfacirc1(A, B, C), D, 2), k4_tarski(k10_finseq_1(A, B), k3_gfacirc1))=k9_margrel1(E, k8_margrel1(F)) &  (k1_funct_1(k5_facirc_1(k19_gfacirc1(A, B, C), k20_gfacirc1(A, B, C), D, 2), k4_tarski(k10_finseq_1(B, C), k2_twoscomp))=k9_margrel1(k8_margrel1(F), G) & k1_funct_1(k5_facirc_1(k19_gfacirc1(A, B, C), k20_gfacirc1(A, B, C), D, 2), k4_tarski(k10_finseq_1(C, A), k3_facirc_1))=k9_margrel1(G, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (A=k4_tarski(k10_finseq_1(B, C), k2_twoscomp))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k3_facirc_1))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k3_gfacirc1))  &  ~ ( (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k19_gfacirc1(A, B, C), k20_gfacirc1(A, B, C)))) => v1_circuit2(k5_facirc_1(k19_gfacirc1(A, B, C), k20_gfacirc1(A, B, C), D, 2), k19_gfacirc1(A, B, C), k20_gfacirc1(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(d22_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k22_gfacirc1(A, B, C)=k8_facirc_1(A, B, C, k4_gfacirc1)) ) ) ).
fof(d23_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k23_gfacirc1(A, B, C)=k10_facirc_1(A, B, C, k4_gfacirc1)) ) ) ).
fof(d24_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k24_gfacirc1(A, B, C)=k9_facirc_1(A, B, C, k4_gfacirc1)) ) ) ).
fof(t55_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k3_msafree2(k22_gfacirc1(A, B, C))=k2_xboole_0(k1_tarski(k4_tarski(k10_finseq_1(A, B), k4_gfacirc1)), k1_tarski(k24_gfacirc1(A, B, C)))) ) ) ).
fof(t56_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_tarski(A, u1_struct_0(k22_gfacirc1(A, B, C))) &  (r2_tarski(B, u1_struct_0(k22_gfacirc1(A, B, C))) &  (r2_tarski(C, u1_struct_0(k22_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k4_gfacirc1), u1_struct_0(k22_gfacirc1(A, B, C))) & r2_hidden(k4_tarski(k10_finseq_1(k4_tarski(k10_finseq_1(A, B), k4_gfacirc1), C), k4_gfacirc1), u1_struct_0(k22_gfacirc1(A, B, C)))) ) ) ) ) ) ) ).
fof(t57_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k4_gfacirc1), k3_msafree2(k22_gfacirc1(A, B, C))) & r2_tarski(k24_gfacirc1(A, B, C), k3_msafree2(k22_gfacirc1(A, B, C)))) ) ) ) ).
fof(t58_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k4_gfacirc1))  =>  (r2_tarski(A, k2_msafree2(k22_gfacirc1(A, B, C))) &  (r2_tarski(B, k2_msafree2(k22_gfacirc1(A, B, C))) & r2_tarski(C, k2_msafree2(k22_gfacirc1(A, B, C)))) ) ) ) ) ) ).
fof(t59_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k4_gfacirc1))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k22_gfacirc1(A, B, C), k23_gfacirc1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  (! [G] :  (m1_subset_1(G, k5_margrel1) =>  ( (E=k1_funct_1(D, A) &  (F=k1_funct_1(D, B) & G=k1_funct_1(D, C)) )  =>  (k1_funct_1(k6_circuit2(k22_gfacirc1(A, B, C), k23_gfacirc1(A, B, C), D), k4_tarski(k10_finseq_1(A, B), k4_gfacirc1))=k2_binarith(E, k8_margrel1(F)) &  (k1_funct_1(k6_circuit2(k22_gfacirc1(A, B, C), k23_gfacirc1(A, B, C), D), A)=E &  (k1_funct_1(k6_circuit2(k22_gfacirc1(A, B, C), k23_gfacirc1(A, B, C), D), B)=F & k1_funct_1(k6_circuit2(k22_gfacirc1(A, B, C), k23_gfacirc1(A, B, C), D), C)=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k4_gfacirc1))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k22_gfacirc1(A, B, C), k23_gfacirc1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  (! [G] :  (m1_subset_1(G, k5_margrel1) =>  (! [H] :  (m1_subset_1(H, k5_margrel1) =>  ( (E=k1_funct_1(D, k4_tarski(k10_finseq_1(A, B), k4_gfacirc1)) & H=k1_funct_1(D, C))  => k1_twoscomp(k22_gfacirc1(A, B, C), k23_gfacirc1(A, B, C), k6_circuit2(k22_gfacirc1(A, B, C), k23_gfacirc1(A, B, C), D), k24_gfacirc1(A, B, C))=k2_binarith(E, k8_margrel1(H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k4_gfacirc1))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k22_gfacirc1(A, B, C), k23_gfacirc1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  (! [G] :  (m1_subset_1(G, k5_margrel1) =>  ( (E=k1_funct_1(D, A) &  (F=k1_funct_1(D, B) & G=k1_funct_1(D, C)) )  =>  (k1_twoscomp(k22_gfacirc1(A, B, C), k23_gfacirc1(A, B, C), k5_facirc_1(k22_gfacirc1(A, B, C), k23_gfacirc1(A, B, C), D, 2), k24_gfacirc1(A, B, C))=k2_binarith(k2_binarith(E, k8_margrel1(F)), k8_margrel1(G)) &  (k1_funct_1(k5_facirc_1(k22_gfacirc1(A, B, C), k23_gfacirc1(A, B, C), D, 2), k4_tarski(k10_finseq_1(A, B), k4_gfacirc1))=k2_binarith(E, k8_margrel1(F)) &  (k1_funct_1(k5_facirc_1(k22_gfacirc1(A, B, C), k23_gfacirc1(A, B, C), D, 2), A)=E &  (k1_funct_1(k5_facirc_1(k22_gfacirc1(A, B, C), k23_gfacirc1(A, B, C), D, 2), B)=F & k1_funct_1(k5_facirc_1(k22_gfacirc1(A, B, C), k23_gfacirc1(A, B, C), D, 2), C)=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k4_gfacirc1))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k22_gfacirc1(A, B, C), k23_gfacirc1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  (! [G] :  (m1_subset_1(G, k5_margrel1) =>  ( (E=k1_funct_1(D, A) &  (F=k1_funct_1(D, B) & G=k1_funct_1(D, C)) )  => k1_twoscomp(k22_gfacirc1(A, B, C), k23_gfacirc1(A, B, C), k5_facirc_1(k22_gfacirc1(A, B, C), k23_gfacirc1(A, B, C), D, 2), k24_gfacirc1(A, B, C))=k8_margrel1(k2_binarith(k2_binarith(E, k8_margrel1(F)), G))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d25_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k25_gfacirc1(A, B, C)=k2_circcomb(k22_gfacirc1(A, B, C), k19_gfacirc1(A, B, C))) ) ) ).
fof(d26_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k26_gfacirc1(A, B, C)=k3_circcomb(k22_gfacirc1(A, B, C), k19_gfacirc1(A, B, C), k23_gfacirc1(A, B, C), k20_gfacirc1(A, B, C))) ) ) ).
fof(t63_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k3_msafree2(k25_gfacirc1(A, B, C))=k2_xboole_0(k2_xboole_0(k2_xboole_0(k1_tarski(k4_tarski(k10_finseq_1(A, B), k4_gfacirc1)), k1_tarski(k24_gfacirc1(A, B, C))), k1_enumset1(k4_tarski(k10_finseq_1(A, B), k3_gfacirc1), k4_tarski(k10_finseq_1(B, C), k2_twoscomp), k4_tarski(k10_finseq_1(C, A), k3_facirc_1))), k1_tarski(k21_gfacirc1(A, B, C)))) ) ) ).
fof(t64_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : v1_relat_1(k3_msafree2(k25_gfacirc1(A, B, C)))) ) ) ).
fof(t65_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (C=k4_tarski(k10_finseq_1(A, B), k4_gfacirc1))  &  ( ~ (A=k4_tarski(k10_finseq_1(B, C), k2_twoscomp))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k3_facirc_1))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k3_gfacirc1))  &  ~ (k2_msafree2(k25_gfacirc1(A, B, C))=k1_enumset1(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t66_gfacirc1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  => k2_msafree2(k25_gfacirc1(A, B, C))=k1_enumset1(A, B, C)) ) ) ) ) ) ).
fof(t67_gfacirc1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  ~ (v1_facirc_1(k2_msafree2(k25_gfacirc1(A, B, C)))) ) ) ) ) ) ) ).
fof(t68_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_tarski(A, u1_struct_0(k25_gfacirc1(A, B, C))) &  (r2_tarski(B, u1_struct_0(k25_gfacirc1(A, B, C))) &  (r2_tarski(C, u1_struct_0(k25_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k4_gfacirc1), u1_struct_0(k25_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(k4_tarski(k10_finseq_1(A, B), k4_gfacirc1), C), k4_gfacirc1), u1_struct_0(k25_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k3_gfacirc1), u1_struct_0(k25_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(B, C), k2_twoscomp), u1_struct_0(k25_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(C, A), k3_facirc_1), u1_struct_0(k25_gfacirc1(A, B, C))) & r2_hidden(k4_tarski(k11_finseq_1(k4_tarski(k10_finseq_1(A, B), k3_gfacirc1), k4_tarski(k10_finseq_1(B, C), k2_twoscomp), k4_tarski(k10_finseq_1(C, A), k3_facirc_1)), k4_facirc_1), u1_struct_0(k25_gfacirc1(A, B, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t69_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k4_gfacirc1), k3_msafree2(k25_gfacirc1(A, B, C))) &  (r2_tarski(k24_gfacirc1(A, B, C), k3_msafree2(k25_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k3_gfacirc1), k3_msafree2(k25_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(B, C), k2_twoscomp), k3_msafree2(k25_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(C, A), k3_facirc_1), k3_msafree2(k25_gfacirc1(A, B, C))) & r2_tarski(k21_gfacirc1(A, B, C), k3_msafree2(k25_gfacirc1(A, B, C)))) ) ) ) ) ) ) ) ).
fof(t70_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (C=k4_tarski(k10_finseq_1(A, B), k4_gfacirc1))  &  ( ~ (A=k4_tarski(k10_finseq_1(B, C), k2_twoscomp))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k3_facirc_1))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k3_gfacirc1))  &  ~ ( (r2_tarski(A, k2_msafree2(k25_gfacirc1(A, B, C))) &  (r2_tarski(B, k2_msafree2(k25_gfacirc1(A, B, C))) & r2_tarski(C, k2_msafree2(k25_gfacirc1(A, B, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(d27_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k27_gfacirc1(A, B, C)=k4_tarski(k11_finseq_1(k4_tarski(k10_finseq_1(A, B), k3_gfacirc1), k4_tarski(k10_finseq_1(B, C), k2_twoscomp), k4_tarski(k10_finseq_1(C, A), k3_facirc_1)), k4_facirc_1)) ) ) ).
fof(d28_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k28_gfacirc1(A, B, C)=k9_facirc_1(A, B, C, k4_gfacirc1)) ) ) ).
fof(t71_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (C=k4_tarski(k10_finseq_1(A, B), k4_gfacirc1))  &  ( ~ (A=k4_tarski(k10_finseq_1(B, C), k2_twoscomp))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k3_facirc_1))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k3_gfacirc1))  &  (? [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k25_gfacirc1(A, B, C), k26_gfacirc1(A, B, C)))) &  (? [E] :  (m1_subset_1(E, k5_margrel1) &  (? [F] :  (m1_subset_1(F, k5_margrel1) &  (? [G] :  (m1_subset_1(G, k5_margrel1) &  (E=k1_funct_1(D, A) &  (F=k1_funct_1(D, B) &  (G=k1_funct_1(D, C) &  ~ ( (k1_funct_1(k5_facirc_1(k25_gfacirc1(A, B, C), k26_gfacirc1(A, B, C), D, 2), k24_gfacirc1(A, B, C))=k8_margrel1(k2_binarith(k2_binarith(E, k8_margrel1(F)), G)) & k1_funct_1(k5_facirc_1(k25_gfacirc1(A, B, C), k26_gfacirc1(A, B, C), D, 2), k21_gfacirc1(A, B, C))=k1_binarith(k1_binarith(k9_margrel1(E, k8_margrel1(F)), k9_margrel1(k8_margrel1(F), G)), k9_margrel1(G, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t72_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (C=k4_tarski(k10_finseq_1(A, B), k4_gfacirc1))  &  ( ~ (A=k4_tarski(k10_finseq_1(B, C), k2_twoscomp))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k3_facirc_1))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k3_gfacirc1))  &  ~ ( (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k25_gfacirc1(A, B, C), k26_gfacirc1(A, B, C)))) => v1_circuit2(k5_facirc_1(k25_gfacirc1(A, B, C), k26_gfacirc1(A, B, C), D, 2), k25_gfacirc1(A, B, C), k26_gfacirc1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(d29_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k29_gfacirc1(A, B, C)=k2_circcomb(k2_circcomb(k5_circcomb(k2_twoscomp, k10_finseq_1(A, B)), k5_circcomb(k3_gfacirc1, k10_finseq_1(B, C))), k5_circcomb(k6_twoscomp, k10_finseq_1(C, A)))) ) ) ).
fof(d30_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k30_gfacirc1(A, B, C)=k3_circcomb(k2_circcomb(k5_circcomb(k2_twoscomp, k10_finseq_1(A, B)), k5_circcomb(k3_gfacirc1, k10_finseq_1(B, C))), k5_circcomb(k6_twoscomp, k10_finseq_1(C, A)), k3_circcomb(k5_circcomb(k2_twoscomp, k10_finseq_1(A, B)), k5_circcomb(k3_gfacirc1, k10_finseq_1(B, C)), k6_facirc_1(A, B, k2_twoscomp), k6_facirc_1(B, C, k3_gfacirc1)), k6_facirc_1(C, A, k6_twoscomp))) ) ) ).
fof(d31_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k31_gfacirc1(A, B, C)=k2_circcomb(k29_gfacirc1(A, B, C), k5_circcomb(k18_twoscomp, k11_finseq_1(k4_tarski(k10_finseq_1(A, B), k2_twoscomp), k4_tarski(k10_finseq_1(B, C), k3_gfacirc1), k4_tarski(k10_finseq_1(C, A), k6_twoscomp))))) ) ) ).
fof(d32_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k32_gfacirc1(A, B, C)=k3_circcomb(k29_gfacirc1(A, B, C), k5_circcomb(k18_twoscomp, k11_finseq_1(k4_tarski(k10_finseq_1(A, B), k2_twoscomp), k4_tarski(k10_finseq_1(B, C), k3_gfacirc1), k4_tarski(k10_finseq_1(C, A), k6_twoscomp))), k30_gfacirc1(A, B, C), k7_facirc_1(k4_tarski(k10_finseq_1(A, B), k2_twoscomp), k4_tarski(k10_finseq_1(B, C), k3_gfacirc1), k4_tarski(k10_finseq_1(C, A), k6_twoscomp), k18_twoscomp))) ) ) ).
fof(d33_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k33_gfacirc1(A, B, C)=k4_tarski(k11_finseq_1(k4_tarski(k10_finseq_1(A, B), k2_twoscomp), k4_tarski(k10_finseq_1(B, C), k3_gfacirc1), k4_tarski(k10_finseq_1(C, A), k6_twoscomp)), k18_twoscomp)) ) ) ).
fof(t73_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k3_msafree2(k29_gfacirc1(A, B, C))=k1_enumset1(k4_tarski(k10_finseq_1(A, B), k2_twoscomp), k4_tarski(k10_finseq_1(B, C), k3_gfacirc1), k4_tarski(k10_finseq_1(C, A), k6_twoscomp))) ) ) ).
fof(t74_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k3_msafree2(k31_gfacirc1(A, B, C))=k2_xboole_0(k1_enumset1(k4_tarski(k10_finseq_1(A, B), k2_twoscomp), k4_tarski(k10_finseq_1(B, C), k3_gfacirc1), k4_tarski(k10_finseq_1(C, A), k6_twoscomp)), k1_tarski(k33_gfacirc1(A, B, C)))) ) ) ).
fof(t75_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : v1_relat_1(k3_msafree2(k31_gfacirc1(A, B, C)))) ) ) ).
fof(t76_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (A=k4_tarski(k10_finseq_1(B, C), k3_gfacirc1))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k6_twoscomp))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k2_twoscomp))  &  ~ (k2_msafree2(k29_gfacirc1(A, B, C))=k1_enumset1(A, B, C)) ) ) ) ) ) ) ) ).
fof(t77_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (A=k4_tarski(k10_finseq_1(B, C), k3_gfacirc1))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k6_twoscomp))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k2_twoscomp))  &  ~ (k2_msafree2(k31_gfacirc1(A, B, C))=k1_enumset1(A, B, C)) ) ) ) ) ) ) ) ).
fof(t78_gfacirc1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  ~ (v1_facirc_1(k2_msafree2(k31_gfacirc1(A, B, C)))) ) ) ) ) ) ) ).
fof(t79_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_tarski(A, u1_struct_0(k31_gfacirc1(A, B, C))) &  (r2_tarski(B, u1_struct_0(k31_gfacirc1(A, B, C))) &  (r2_tarski(C, u1_struct_0(k31_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k2_twoscomp), u1_struct_0(k31_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(B, C), k3_gfacirc1), u1_struct_0(k31_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(C, A), k6_twoscomp), u1_struct_0(k31_gfacirc1(A, B, C))) & r2_hidden(k4_tarski(k11_finseq_1(k4_tarski(k10_finseq_1(A, B), k2_twoscomp), k4_tarski(k10_finseq_1(B, C), k3_gfacirc1), k4_tarski(k10_finseq_1(C, A), k6_twoscomp)), k18_twoscomp), u1_struct_0(k31_gfacirc1(A, B, C)))) ) ) ) ) ) ) ) ) ).
fof(t80_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k2_twoscomp), k3_msafree2(k31_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(B, C), k3_gfacirc1), k3_msafree2(k31_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(C, A), k6_twoscomp), k3_msafree2(k31_gfacirc1(A, B, C))) & r2_tarski(k33_gfacirc1(A, B, C), k3_msafree2(k31_gfacirc1(A, B, C)))) ) ) ) ) ) ).
fof(t81_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (A=k4_tarski(k10_finseq_1(B, C), k3_gfacirc1))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k6_twoscomp))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k2_twoscomp))  &  ~ ( (r2_tarski(A, k2_msafree2(k31_gfacirc1(A, B, C))) &  (r2_tarski(B, k2_msafree2(k31_gfacirc1(A, B, C))) & r2_tarski(C, k2_msafree2(k31_gfacirc1(A, B, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t82_gfacirc1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  => k2_msafree2(k31_gfacirc1(A, B, C))=k1_enumset1(A, B, C)) ) ) ) ) ) ).
fof(t83_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k31_gfacirc1(A, B, C), k32_gfacirc1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  (! [G] :  (m1_subset_1(G, k5_margrel1) =>  ( (E=k1_funct_1(D, A) &  (F=k1_funct_1(D, B) & G=k1_funct_1(D, C)) )  =>  (k1_funct_1(k6_circuit2(k31_gfacirc1(A, B, C), k32_gfacirc1(A, B, C), D), k4_tarski(k10_finseq_1(A, B), k2_twoscomp))=k9_margrel1(k8_margrel1(E), F) &  (k1_funct_1(k6_circuit2(k31_gfacirc1(A, B, C), k32_gfacirc1(A, B, C), D), k4_tarski(k10_finseq_1(B, C), k3_gfacirc1))=k9_margrel1(F, k8_margrel1(G)) & k1_funct_1(k6_circuit2(k31_gfacirc1(A, B, C), k32_gfacirc1(A, B, C), D), k4_tarski(k10_finseq_1(C, A), k6_twoscomp))=k9_margrel1(k8_margrel1(G), k8_margrel1(E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t84_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k31_gfacirc1(A, B, C), k32_gfacirc1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  (! [G] :  (m1_subset_1(G, k5_margrel1) =>  ( (E=k1_funct_1(D, k4_tarski(k10_finseq_1(A, B), k2_twoscomp)) &  (F=k1_funct_1(D, k4_tarski(k10_finseq_1(B, C), k3_gfacirc1)) & G=k1_funct_1(D, k4_tarski(k10_finseq_1(C, A), k6_twoscomp))) )  => k1_twoscomp(k31_gfacirc1(A, B, C), k32_gfacirc1(A, B, C), k6_circuit2(k31_gfacirc1(A, B, C), k32_gfacirc1(A, B, C), D), k33_gfacirc1(A, B, C))=k8_margrel1(k1_binarith(k1_binarith(E, F), G))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t85_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (A=k4_tarski(k10_finseq_1(B, C), k3_gfacirc1))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k6_twoscomp))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k2_twoscomp))  &  (? [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k31_gfacirc1(A, B, C), k32_gfacirc1(A, B, C)))) &  (? [E] :  (m1_subset_1(E, k5_margrel1) &  (? [F] :  (m1_subset_1(F, k5_margrel1) &  (? [G] :  (m1_subset_1(G, k5_margrel1) &  (E=k1_funct_1(D, A) &  (F=k1_funct_1(D, B) &  (G=k1_funct_1(D, C) &  ~ ( (k1_twoscomp(k31_gfacirc1(A, B, C), k32_gfacirc1(A, B, C), k5_facirc_1(k31_gfacirc1(A, B, C), k32_gfacirc1(A, B, C), D, 2), k33_gfacirc1(A, B, C))=k8_margrel1(k1_binarith(k1_binarith(k9_margrel1(k8_margrel1(E), F), k9_margrel1(F, k8_margrel1(G))), k9_margrel1(k8_margrel1(G), k8_margrel1(E)))) &  (k1_funct_1(k5_facirc_1(k31_gfacirc1(A, B, C), k32_gfacirc1(A, B, C), D, 2), k4_tarski(k10_finseq_1(A, B), k2_twoscomp))=k9_margrel1(k8_margrel1(E), F) &  (k1_funct_1(k5_facirc_1(k31_gfacirc1(A, B, C), k32_gfacirc1(A, B, C), D, 2), k4_tarski(k10_finseq_1(B, C), k3_gfacirc1))=k9_margrel1(F, k8_margrel1(G)) & k1_funct_1(k5_facirc_1(k31_gfacirc1(A, B, C), k32_gfacirc1(A, B, C), D, 2), k4_tarski(k10_finseq_1(C, A), k6_twoscomp))=k9_margrel1(k8_margrel1(G), k8_margrel1(E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t86_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (A=k4_tarski(k10_finseq_1(B, C), k3_gfacirc1))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k6_twoscomp))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k2_twoscomp))  &  ~ ( (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k31_gfacirc1(A, B, C), k32_gfacirc1(A, B, C)))) => v1_circuit2(k5_facirc_1(k31_gfacirc1(A, B, C), k32_gfacirc1(A, B, C), D, 2), k31_gfacirc1(A, B, C), k32_gfacirc1(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(d34_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k34_gfacirc1(A, B, C)=k8_facirc_1(A, B, C, k4_gfacirc1)) ) ) ).
fof(d35_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k35_gfacirc1(A, B, C)=k10_facirc_1(A, B, C, k4_gfacirc1)) ) ) ).
fof(d36_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k36_gfacirc1(A, B, C)=k9_facirc_1(A, B, C, k4_gfacirc1)) ) ) ).
fof(t87_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k3_msafree2(k34_gfacirc1(A, B, C))=k2_xboole_0(k1_tarski(k4_tarski(k10_finseq_1(A, B), k4_gfacirc1)), k1_tarski(k36_gfacirc1(A, B, C)))) ) ) ).
fof(t88_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_tarski(A, u1_struct_0(k34_gfacirc1(A, B, C))) &  (r2_tarski(B, u1_struct_0(k34_gfacirc1(A, B, C))) &  (r2_tarski(C, u1_struct_0(k34_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k4_gfacirc1), u1_struct_0(k34_gfacirc1(A, B, C))) & r2_hidden(k4_tarski(k10_finseq_1(k4_tarski(k10_finseq_1(A, B), k4_gfacirc1), C), k4_gfacirc1), u1_struct_0(k34_gfacirc1(A, B, C)))) ) ) ) ) ) ) ).
fof(t89_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k4_gfacirc1), k3_msafree2(k34_gfacirc1(A, B, C))) & r2_tarski(k36_gfacirc1(A, B, C), k3_msafree2(k34_gfacirc1(A, B, C)))) ) ) ) ).
fof(t90_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k4_gfacirc1))  =>  (r2_tarski(A, k2_msafree2(k34_gfacirc1(A, B, C))) &  (r2_tarski(B, k2_msafree2(k34_gfacirc1(A, B, C))) & r2_tarski(C, k2_msafree2(k34_gfacirc1(A, B, C)))) ) ) ) ) ) ).
fof(t91_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k4_gfacirc1))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k34_gfacirc1(A, B, C), k35_gfacirc1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  (! [G] :  (m1_subset_1(G, k5_margrel1) =>  ( (E=k1_funct_1(D, A) &  (F=k1_funct_1(D, B) & G=k1_funct_1(D, C)) )  =>  (k1_funct_1(k6_circuit2(k34_gfacirc1(A, B, C), k35_gfacirc1(A, B, C), D), k4_tarski(k10_finseq_1(A, B), k4_gfacirc1))=k2_binarith(E, k8_margrel1(F)) &  (k1_funct_1(k6_circuit2(k34_gfacirc1(A, B, C), k35_gfacirc1(A, B, C), D), A)=E &  (k1_funct_1(k6_circuit2(k34_gfacirc1(A, B, C), k35_gfacirc1(A, B, C), D), B)=F & k1_funct_1(k6_circuit2(k34_gfacirc1(A, B, C), k35_gfacirc1(A, B, C), D), C)=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t92_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k4_gfacirc1))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k34_gfacirc1(A, B, C), k35_gfacirc1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  (! [G] :  (m1_subset_1(G, k5_margrel1) =>  (! [H] :  (m1_subset_1(H, k5_margrel1) =>  ( (E=k1_funct_1(D, k4_tarski(k10_finseq_1(A, B), k4_gfacirc1)) &  (F=k1_funct_1(D, A) &  (G=k1_funct_1(D, B) & H=k1_funct_1(D, C)) ) )  => k1_twoscomp(k34_gfacirc1(A, B, C), k35_gfacirc1(A, B, C), k6_circuit2(k34_gfacirc1(A, B, C), k35_gfacirc1(A, B, C), D), k36_gfacirc1(A, B, C))=k2_binarith(E, k8_margrel1(H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t93_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k4_gfacirc1))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k34_gfacirc1(A, B, C), k35_gfacirc1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  (! [G] :  (m1_subset_1(G, k5_margrel1) =>  ( (E=k1_funct_1(D, A) &  (F=k1_funct_1(D, B) & G=k1_funct_1(D, C)) )  =>  (k1_twoscomp(k34_gfacirc1(A, B, C), k35_gfacirc1(A, B, C), k5_facirc_1(k34_gfacirc1(A, B, C), k35_gfacirc1(A, B, C), D, 2), k36_gfacirc1(A, B, C))=k2_binarith(k2_binarith(E, k8_margrel1(F)), k8_margrel1(G)) &  (k1_funct_1(k5_facirc_1(k34_gfacirc1(A, B, C), k35_gfacirc1(A, B, C), D, 2), k4_tarski(k10_finseq_1(A, B), k4_gfacirc1))=k2_binarith(E, k8_margrel1(F)) &  (k1_funct_1(k5_facirc_1(k34_gfacirc1(A, B, C), k35_gfacirc1(A, B, C), D, 2), A)=E &  (k1_funct_1(k5_facirc_1(k34_gfacirc1(A, B, C), k35_gfacirc1(A, B, C), D, 2), B)=F & k1_funct_1(k5_facirc_1(k34_gfacirc1(A, B, C), k35_gfacirc1(A, B, C), D, 2), C)=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t94_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k4_gfacirc1))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k34_gfacirc1(A, B, C), k35_gfacirc1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  (! [G] :  (m1_subset_1(G, k5_margrel1) =>  ( (E=k1_funct_1(D, A) &  (F=k1_funct_1(D, B) & G=k1_funct_1(D, C)) )  => k1_twoscomp(k34_gfacirc1(A, B, C), k35_gfacirc1(A, B, C), k5_facirc_1(k34_gfacirc1(A, B, C), k35_gfacirc1(A, B, C), D, 2), k36_gfacirc1(A, B, C))=k2_binarith(k2_binarith(k8_margrel1(E), F), k8_margrel1(G))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d37_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k37_gfacirc1(A, B, C)=k2_circcomb(k34_gfacirc1(A, B, C), k31_gfacirc1(A, B, C))) ) ) ).
fof(d38_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k38_gfacirc1(A, B, C)=k3_circcomb(k34_gfacirc1(A, B, C), k31_gfacirc1(A, B, C), k35_gfacirc1(A, B, C), k32_gfacirc1(A, B, C))) ) ) ).
fof(t95_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k3_msafree2(k37_gfacirc1(A, B, C))=k2_xboole_0(k2_xboole_0(k2_xboole_0(k1_tarski(k4_tarski(k10_finseq_1(A, B), k4_gfacirc1)), k1_tarski(k36_gfacirc1(A, B, C))), k1_enumset1(k4_tarski(k10_finseq_1(A, B), k2_twoscomp), k4_tarski(k10_finseq_1(B, C), k3_gfacirc1), k4_tarski(k10_finseq_1(C, A), k6_twoscomp))), k1_tarski(k33_gfacirc1(A, B, C)))) ) ) ).
fof(t96_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : v1_relat_1(k3_msafree2(k37_gfacirc1(A, B, C)))) ) ) ).
fof(t97_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (C=k4_tarski(k10_finseq_1(A, B), k4_gfacirc1))  &  ( ~ (A=k4_tarski(k10_finseq_1(B, C), k3_gfacirc1))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k6_twoscomp))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k2_twoscomp))  &  ~ (k2_msafree2(k37_gfacirc1(A, B, C))=k1_enumset1(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t98_gfacirc1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  => k2_msafree2(k37_gfacirc1(A, B, C))=k1_enumset1(A, B, C)) ) ) ) ) ) ).
fof(t99_gfacirc1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  ~ (v1_facirc_1(k2_msafree2(k37_gfacirc1(A, B, C)))) ) ) ) ) ) ) ).
fof(t100_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_tarski(A, u1_struct_0(k37_gfacirc1(A, B, C))) &  (r2_tarski(B, u1_struct_0(k37_gfacirc1(A, B, C))) &  (r2_tarski(C, u1_struct_0(k37_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k4_gfacirc1), u1_struct_0(k37_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(k4_tarski(k10_finseq_1(A, B), k4_gfacirc1), C), k4_gfacirc1), u1_struct_0(k37_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k2_twoscomp), u1_struct_0(k37_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(B, C), k3_gfacirc1), u1_struct_0(k37_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(C, A), k6_twoscomp), u1_struct_0(k37_gfacirc1(A, B, C))) & r2_hidden(k4_tarski(k11_finseq_1(k4_tarski(k10_finseq_1(A, B), k2_twoscomp), k4_tarski(k10_finseq_1(B, C), k3_gfacirc1), k4_tarski(k10_finseq_1(C, A), k6_twoscomp)), k18_twoscomp), u1_struct_0(k37_gfacirc1(A, B, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t101_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k4_gfacirc1), k3_msafree2(k37_gfacirc1(A, B, C))) &  (r2_tarski(k36_gfacirc1(A, B, C), k3_msafree2(k37_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k2_twoscomp), k3_msafree2(k37_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(B, C), k3_gfacirc1), k3_msafree2(k37_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(C, A), k6_twoscomp), k3_msafree2(k37_gfacirc1(A, B, C))) & r2_tarski(k33_gfacirc1(A, B, C), k3_msafree2(k37_gfacirc1(A, B, C)))) ) ) ) ) ) ) ) ).
fof(t102_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (C=k4_tarski(k10_finseq_1(A, B), k4_gfacirc1))  &  ( ~ (A=k4_tarski(k10_finseq_1(B, C), k3_gfacirc1))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k6_twoscomp))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k2_twoscomp))  &  ~ ( (r2_tarski(A, k2_msafree2(k37_gfacirc1(A, B, C))) &  (r2_tarski(B, k2_msafree2(k37_gfacirc1(A, B, C))) & r2_tarski(C, k2_msafree2(k37_gfacirc1(A, B, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(d39_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k39_gfacirc1(A, B, C)=k4_tarski(k11_finseq_1(k4_tarski(k10_finseq_1(A, B), k2_twoscomp), k4_tarski(k10_finseq_1(B, C), k3_gfacirc1), k4_tarski(k10_finseq_1(C, A), k6_twoscomp)), k18_twoscomp)) ) ) ).
fof(d40_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k40_gfacirc1(A, B, C)=k9_facirc_1(A, B, C, k4_gfacirc1)) ) ) ).
fof(t103_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (C=k4_tarski(k10_finseq_1(A, B), k4_gfacirc1))  &  ( ~ (A=k4_tarski(k10_finseq_1(B, C), k3_gfacirc1))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k6_twoscomp))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k2_twoscomp))  &  (? [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k37_gfacirc1(A, B, C), k38_gfacirc1(A, B, C)))) &  (? [E] :  (m1_subset_1(E, k5_margrel1) &  (? [F] :  (m1_subset_1(F, k5_margrel1) &  (? [G] :  (m1_subset_1(G, k5_margrel1) &  (E=k1_funct_1(D, A) &  (F=k1_funct_1(D, B) &  (G=k1_funct_1(D, C) &  ~ ( (k1_funct_1(k5_facirc_1(k37_gfacirc1(A, B, C), k38_gfacirc1(A, B, C), D, 2), k36_gfacirc1(A, B, C))=k2_binarith(k2_binarith(k8_margrel1(E), F), k8_margrel1(G)) & k1_funct_1(k5_facirc_1(k37_gfacirc1(A, B, C), k38_gfacirc1(A, B, C), D, 2), k33_gfacirc1(A, B, C))=k8_margrel1(k1_binarith(k1_binarith(k9_margrel1(k8_margrel1(E), F), k9_margrel1(F, k8_margrel1(G))), k9_margrel1(k8_margrel1(G), k8_margrel1(E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t104_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (C=k4_tarski(k10_finseq_1(A, B), k4_gfacirc1))  &  ( ~ (A=k4_tarski(k10_finseq_1(B, C), k3_gfacirc1))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k6_twoscomp))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k2_twoscomp))  &  ~ ( (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k37_gfacirc1(A, B, C), k38_gfacirc1(A, B, C)))) => v1_circuit2(k5_facirc_1(k37_gfacirc1(A, B, C), k38_gfacirc1(A, B, C), D, 2), k37_gfacirc1(A, B, C), k38_gfacirc1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(d41_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k41_gfacirc1(A, B, C)=k2_circcomb(k2_circcomb(k5_circcomb(k6_twoscomp, k10_finseq_1(A, B)), k5_circcomb(k6_twoscomp, k10_finseq_1(B, C))), k5_circcomb(k6_twoscomp, k10_finseq_1(C, A)))) ) ) ).
fof(d42_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k42_gfacirc1(A, B, C)=k3_circcomb(k2_circcomb(k5_circcomb(k6_twoscomp, k10_finseq_1(A, B)), k5_circcomb(k6_twoscomp, k10_finseq_1(B, C))), k5_circcomb(k6_twoscomp, k10_finseq_1(C, A)), k3_circcomb(k5_circcomb(k6_twoscomp, k10_finseq_1(A, B)), k5_circcomb(k6_twoscomp, k10_finseq_1(B, C)), k6_facirc_1(A, B, k6_twoscomp), k6_facirc_1(B, C, k6_twoscomp)), k6_facirc_1(C, A, k6_twoscomp))) ) ) ).
fof(d43_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k43_gfacirc1(A, B, C)=k2_circcomb(k41_gfacirc1(A, B, C), k5_circcomb(k18_twoscomp, k11_finseq_1(k4_tarski(k10_finseq_1(A, B), k6_twoscomp), k4_tarski(k10_finseq_1(B, C), k6_twoscomp), k4_tarski(k10_finseq_1(C, A), k6_twoscomp))))) ) ) ).
fof(d44_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k44_gfacirc1(A, B, C)=k3_circcomb(k41_gfacirc1(A, B, C), k5_circcomb(k18_twoscomp, k11_finseq_1(k4_tarski(k10_finseq_1(A, B), k6_twoscomp), k4_tarski(k10_finseq_1(B, C), k6_twoscomp), k4_tarski(k10_finseq_1(C, A), k6_twoscomp))), k42_gfacirc1(A, B, C), k7_facirc_1(k4_tarski(k10_finseq_1(A, B), k6_twoscomp), k4_tarski(k10_finseq_1(B, C), k6_twoscomp), k4_tarski(k10_finseq_1(C, A), k6_twoscomp), k18_twoscomp))) ) ) ).
fof(d45_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k45_gfacirc1(A, B, C)=k4_tarski(k11_finseq_1(k4_tarski(k10_finseq_1(A, B), k6_twoscomp), k4_tarski(k10_finseq_1(B, C), k6_twoscomp), k4_tarski(k10_finseq_1(C, A), k6_twoscomp)), k18_twoscomp)) ) ) ).
fof(t105_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k3_msafree2(k41_gfacirc1(A, B, C))=k1_enumset1(k4_tarski(k10_finseq_1(A, B), k6_twoscomp), k4_tarski(k10_finseq_1(B, C), k6_twoscomp), k4_tarski(k10_finseq_1(C, A), k6_twoscomp))) ) ) ).
fof(t106_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k3_msafree2(k43_gfacirc1(A, B, C))=k2_xboole_0(k1_enumset1(k4_tarski(k10_finseq_1(A, B), k6_twoscomp), k4_tarski(k10_finseq_1(B, C), k6_twoscomp), k4_tarski(k10_finseq_1(C, A), k6_twoscomp)), k1_tarski(k45_gfacirc1(A, B, C)))) ) ) ).
fof(t107_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : v1_relat_1(k3_msafree2(k43_gfacirc1(A, B, C)))) ) ) ).
fof(t108_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (A=k4_tarski(k10_finseq_1(B, C), k6_twoscomp))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k6_twoscomp))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k6_twoscomp))  &  ~ (k2_msafree2(k41_gfacirc1(A, B, C))=k1_enumset1(A, B, C)) ) ) ) ) ) ) ) ).
fof(t109_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (A=k4_tarski(k10_finseq_1(B, C), k6_twoscomp))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k6_twoscomp))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k6_twoscomp))  &  ~ (k2_msafree2(k43_gfacirc1(A, B, C))=k1_enumset1(A, B, C)) ) ) ) ) ) ) ) ).
fof(t110_gfacirc1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  ~ (v1_facirc_1(k2_msafree2(k43_gfacirc1(A, B, C)))) ) ) ) ) ) ) ).
fof(t111_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_tarski(A, u1_struct_0(k43_gfacirc1(A, B, C))) &  (r2_tarski(B, u1_struct_0(k43_gfacirc1(A, B, C))) &  (r2_tarski(C, u1_struct_0(k43_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k6_twoscomp), u1_struct_0(k43_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(B, C), k6_twoscomp), u1_struct_0(k43_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(C, A), k6_twoscomp), u1_struct_0(k43_gfacirc1(A, B, C))) & r2_hidden(k4_tarski(k11_finseq_1(k4_tarski(k10_finseq_1(A, B), k6_twoscomp), k4_tarski(k10_finseq_1(B, C), k6_twoscomp), k4_tarski(k10_finseq_1(C, A), k6_twoscomp)), k18_twoscomp), u1_struct_0(k43_gfacirc1(A, B, C)))) ) ) ) ) ) ) ) ) ).
fof(t112_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k6_twoscomp), k3_msafree2(k43_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(B, C), k6_twoscomp), k3_msafree2(k43_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(C, A), k6_twoscomp), k3_msafree2(k43_gfacirc1(A, B, C))) & r2_tarski(k45_gfacirc1(A, B, C), k3_msafree2(k43_gfacirc1(A, B, C)))) ) ) ) ) ) ).
fof(t113_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (A=k4_tarski(k10_finseq_1(B, C), k6_twoscomp))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k6_twoscomp))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k6_twoscomp))  &  ~ ( (r2_tarski(A, k2_msafree2(k43_gfacirc1(A, B, C))) &  (r2_tarski(B, k2_msafree2(k43_gfacirc1(A, B, C))) & r2_tarski(C, k2_msafree2(k43_gfacirc1(A, B, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t114_gfacirc1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  => k2_msafree2(k43_gfacirc1(A, B, C))=k1_enumset1(A, B, C)) ) ) ) ) ) ).
fof(t115_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k43_gfacirc1(A, B, C), k44_gfacirc1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  (! [G] :  (m1_subset_1(G, k5_margrel1) =>  ( (E=k1_funct_1(D, A) &  (F=k1_funct_1(D, B) & G=k1_funct_1(D, C)) )  =>  (k1_funct_1(k6_circuit2(k43_gfacirc1(A, B, C), k44_gfacirc1(A, B, C), D), k4_tarski(k10_finseq_1(A, B), k6_twoscomp))=k9_margrel1(k8_margrel1(E), k8_margrel1(F)) &  (k1_funct_1(k6_circuit2(k43_gfacirc1(A, B, C), k44_gfacirc1(A, B, C), D), k4_tarski(k10_finseq_1(B, C), k6_twoscomp))=k9_margrel1(k8_margrel1(F), k8_margrel1(G)) & k1_funct_1(k6_circuit2(k43_gfacirc1(A, B, C), k44_gfacirc1(A, B, C), D), k4_tarski(k10_finseq_1(C, A), k6_twoscomp))=k9_margrel1(k8_margrel1(G), k8_margrel1(E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t116_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k43_gfacirc1(A, B, C), k44_gfacirc1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  (! [G] :  (m1_subset_1(G, k5_margrel1) =>  ( (E=k1_funct_1(D, k4_tarski(k10_finseq_1(A, B), k6_twoscomp)) &  (F=k1_funct_1(D, k4_tarski(k10_finseq_1(B, C), k6_twoscomp)) & G=k1_funct_1(D, k4_tarski(k10_finseq_1(C, A), k6_twoscomp))) )  => k1_twoscomp(k43_gfacirc1(A, B, C), k44_gfacirc1(A, B, C), k6_circuit2(k43_gfacirc1(A, B, C), k44_gfacirc1(A, B, C), D), k45_gfacirc1(A, B, C))=k8_margrel1(k1_binarith(k1_binarith(E, F), G))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t117_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (A=k4_tarski(k10_finseq_1(B, C), k6_twoscomp))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k6_twoscomp))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k6_twoscomp))  &  (? [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k43_gfacirc1(A, B, C), k44_gfacirc1(A, B, C)))) &  (? [E] :  (m1_subset_1(E, k5_margrel1) &  (? [F] :  (m1_subset_1(F, k5_margrel1) &  (? [G] :  (m1_subset_1(G, k5_margrel1) &  (E=k1_funct_1(D, A) &  (F=k1_funct_1(D, B) &  (G=k1_funct_1(D, C) &  ~ ( (k1_twoscomp(k43_gfacirc1(A, B, C), k44_gfacirc1(A, B, C), k5_facirc_1(k43_gfacirc1(A, B, C), k44_gfacirc1(A, B, C), D, 2), k45_gfacirc1(A, B, C))=k8_margrel1(k1_binarith(k1_binarith(k9_margrel1(k8_margrel1(E), k8_margrel1(F)), k9_margrel1(k8_margrel1(F), k8_margrel1(G))), k9_margrel1(k8_margrel1(G), k8_margrel1(E)))) &  (k1_funct_1(k5_facirc_1(k43_gfacirc1(A, B, C), k44_gfacirc1(A, B, C), D, 2), k4_tarski(k10_finseq_1(A, B), k6_twoscomp))=k9_margrel1(k8_margrel1(E), k8_margrel1(F)) &  (k1_funct_1(k5_facirc_1(k43_gfacirc1(A, B, C), k44_gfacirc1(A, B, C), D, 2), k4_tarski(k10_finseq_1(B, C), k6_twoscomp))=k9_margrel1(k8_margrel1(F), k8_margrel1(G)) & k1_funct_1(k5_facirc_1(k43_gfacirc1(A, B, C), k44_gfacirc1(A, B, C), D, 2), k4_tarski(k10_finseq_1(C, A), k6_twoscomp))=k9_margrel1(k8_margrel1(G), k8_margrel1(E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t118_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (A=k4_tarski(k10_finseq_1(B, C), k6_twoscomp))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k6_twoscomp))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k6_twoscomp))  &  ~ ( (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k43_gfacirc1(A, B, C), k44_gfacirc1(A, B, C)))) => v1_circuit2(k5_facirc_1(k43_gfacirc1(A, B, C), k44_gfacirc1(A, B, C), D, 2), k43_gfacirc1(A, B, C), k44_gfacirc1(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(d46_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k46_gfacirc1(A, B, C)=k8_facirc_1(A, B, C, k1_facirc_1)) ) ) ).
fof(d47_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k47_gfacirc1(A, B, C)=k10_facirc_1(A, B, C, k1_facirc_1)) ) ) ).
fof(d48_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k48_gfacirc1(A, B, C)=k9_facirc_1(A, B, C, k1_facirc_1)) ) ) ).
fof(t119_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k3_msafree2(k46_gfacirc1(A, B, C))=k2_xboole_0(k1_tarski(k4_tarski(k10_finseq_1(A, B), k1_facirc_1)), k1_tarski(k48_gfacirc1(A, B, C)))) ) ) ).
fof(t120_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_tarski(A, u1_struct_0(k46_gfacirc1(A, B, C))) &  (r2_tarski(B, u1_struct_0(k46_gfacirc1(A, B, C))) &  (r2_tarski(C, u1_struct_0(k46_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k1_facirc_1), u1_struct_0(k46_gfacirc1(A, B, C))) & r2_hidden(k4_tarski(k10_finseq_1(k4_tarski(k10_finseq_1(A, B), k1_facirc_1), C), k1_facirc_1), u1_struct_0(k46_gfacirc1(A, B, C)))) ) ) ) ) ) ) ).
fof(t121_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k1_facirc_1), k3_msafree2(k46_gfacirc1(A, B, C))) & r2_tarski(k48_gfacirc1(A, B, C), k3_msafree2(k46_gfacirc1(A, B, C)))) ) ) ) ).
fof(t122_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k1_facirc_1))  =>  (r2_tarski(A, k2_msafree2(k46_gfacirc1(A, B, C))) &  (r2_tarski(B, k2_msafree2(k46_gfacirc1(A, B, C))) & r2_tarski(C, k2_msafree2(k46_gfacirc1(A, B, C)))) ) ) ) ) ) ).
fof(t123_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k1_facirc_1))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k46_gfacirc1(A, B, C), k47_gfacirc1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  (! [G] :  (m1_subset_1(G, k5_margrel1) =>  ( (E=k1_funct_1(D, A) &  (F=k1_funct_1(D, B) & G=k1_funct_1(D, C)) )  =>  (k1_funct_1(k6_circuit2(k46_gfacirc1(A, B, C), k47_gfacirc1(A, B, C), D), k4_tarski(k10_finseq_1(A, B), k1_facirc_1))=k2_binarith(E, F) &  (k1_funct_1(k6_circuit2(k46_gfacirc1(A, B, C), k47_gfacirc1(A, B, C), D), A)=E &  (k1_funct_1(k6_circuit2(k46_gfacirc1(A, B, C), k47_gfacirc1(A, B, C), D), B)=F & k1_funct_1(k6_circuit2(k46_gfacirc1(A, B, C), k47_gfacirc1(A, B, C), D), C)=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t124_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k1_facirc_1))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k46_gfacirc1(A, B, C), k47_gfacirc1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  (! [G] :  (m1_subset_1(G, k5_margrel1) =>  (! [H] :  (m1_subset_1(H, k5_margrel1) =>  ( (E=k1_funct_1(D, k4_tarski(k10_finseq_1(A, B), k1_facirc_1)) &  (F=k1_funct_1(D, A) &  (G=k1_funct_1(D, B) & H=k1_funct_1(D, C)) ) )  => k1_twoscomp(k46_gfacirc1(A, B, C), k47_gfacirc1(A, B, C), k6_circuit2(k46_gfacirc1(A, B, C), k47_gfacirc1(A, B, C), D), k48_gfacirc1(A, B, C))=k2_binarith(E, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t125_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k1_facirc_1))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k46_gfacirc1(A, B, C), k47_gfacirc1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  (! [G] :  (m1_subset_1(G, k5_margrel1) =>  ( (E=k1_funct_1(D, A) &  (F=k1_funct_1(D, B) & G=k1_funct_1(D, C)) )  =>  (k1_twoscomp(k46_gfacirc1(A, B, C), k47_gfacirc1(A, B, C), k5_facirc_1(k46_gfacirc1(A, B, C), k47_gfacirc1(A, B, C), D, 2), k48_gfacirc1(A, B, C))=k2_binarith(k2_binarith(E, F), G) &  (k1_funct_1(k5_facirc_1(k46_gfacirc1(A, B, C), k47_gfacirc1(A, B, C), D, 2), k4_tarski(k10_finseq_1(A, B), k1_facirc_1))=k2_binarith(E, F) &  (k1_funct_1(k5_facirc_1(k46_gfacirc1(A, B, C), k47_gfacirc1(A, B, C), D, 2), A)=E &  (k1_funct_1(k5_facirc_1(k46_gfacirc1(A, B, C), k47_gfacirc1(A, B, C), D, 2), B)=F & k1_funct_1(k5_facirc_1(k46_gfacirc1(A, B, C), k47_gfacirc1(A, B, C), D, 2), C)=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t126_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k1_facirc_1))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k46_gfacirc1(A, B, C), k47_gfacirc1(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, k5_margrel1) =>  (! [F] :  (m1_subset_1(F, k5_margrel1) =>  (! [G] :  (m1_subset_1(G, k5_margrel1) =>  ( (E=k1_funct_1(D, A) &  (F=k1_funct_1(D, B) & G=k1_funct_1(D, C)) )  => k1_twoscomp(k46_gfacirc1(A, B, C), k47_gfacirc1(A, B, C), k5_facirc_1(k46_gfacirc1(A, B, C), k47_gfacirc1(A, B, C), D, 2), k48_gfacirc1(A, B, C))=k8_margrel1(k2_binarith(k2_binarith(k8_margrel1(E), k8_margrel1(F)), k8_margrel1(G)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d49_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k49_gfacirc1(A, B, C)=k2_circcomb(k46_gfacirc1(A, B, C), k43_gfacirc1(A, B, C))) ) ) ).
fof(d50_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k50_gfacirc1(A, B, C)=k3_circcomb(k46_gfacirc1(A, B, C), k43_gfacirc1(A, B, C), k47_gfacirc1(A, B, C), k44_gfacirc1(A, B, C))) ) ) ).
fof(t127_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k3_msafree2(k49_gfacirc1(A, B, C))=k2_xboole_0(k2_xboole_0(k2_xboole_0(k1_tarski(k4_tarski(k10_finseq_1(A, B), k1_facirc_1)), k1_tarski(k48_gfacirc1(A, B, C))), k1_enumset1(k4_tarski(k10_finseq_1(A, B), k6_twoscomp), k4_tarski(k10_finseq_1(B, C), k6_twoscomp), k4_tarski(k10_finseq_1(C, A), k6_twoscomp))), k1_tarski(k45_gfacirc1(A, B, C)))) ) ) ).
fof(t128_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : v1_relat_1(k3_msafree2(k49_gfacirc1(A, B, C)))) ) ) ).
fof(t129_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (C=k4_tarski(k10_finseq_1(A, B), k1_facirc_1))  &  ( ~ (A=k4_tarski(k10_finseq_1(B, C), k6_twoscomp))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k6_twoscomp))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k6_twoscomp))  &  ~ (k2_msafree2(k49_gfacirc1(A, B, C))=k1_enumset1(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t130_gfacirc1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  => k2_msafree2(k49_gfacirc1(A, B, C))=k1_enumset1(A, B, C)) ) ) ) ) ) ).
fof(t131_gfacirc1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  (! [B] :  ( ~ (v1_xtuple_0(B))  =>  (! [C] :  ( ~ (v1_xtuple_0(C))  =>  ~ (v1_facirc_1(k2_msafree2(k49_gfacirc1(A, B, C)))) ) ) ) ) ) ) ).
fof(t132_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_tarski(A, u1_struct_0(k49_gfacirc1(A, B, C))) &  (r2_tarski(B, u1_struct_0(k49_gfacirc1(A, B, C))) &  (r2_tarski(C, u1_struct_0(k49_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k1_facirc_1), u1_struct_0(k49_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(k4_tarski(k10_finseq_1(A, B), k1_facirc_1), C), k1_facirc_1), u1_struct_0(k49_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k6_twoscomp), u1_struct_0(k49_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(B, C), k6_twoscomp), u1_struct_0(k49_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(C, A), k6_twoscomp), u1_struct_0(k49_gfacirc1(A, B, C))) & r2_hidden(k4_tarski(k11_finseq_1(k4_tarski(k10_finseq_1(A, B), k6_twoscomp), k4_tarski(k10_finseq_1(B, C), k6_twoscomp), k4_tarski(k10_finseq_1(C, A), k6_twoscomp)), k18_twoscomp), u1_struct_0(k49_gfacirc1(A, B, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t133_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k1_facirc_1), k3_msafree2(k49_gfacirc1(A, B, C))) &  (r2_tarski(k48_gfacirc1(A, B, C), k3_msafree2(k49_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(A, B), k6_twoscomp), k3_msafree2(k49_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(B, C), k6_twoscomp), k3_msafree2(k49_gfacirc1(A, B, C))) &  (r2_hidden(k4_tarski(k10_finseq_1(C, A), k6_twoscomp), k3_msafree2(k49_gfacirc1(A, B, C))) & r2_tarski(k45_gfacirc1(A, B, C), k3_msafree2(k49_gfacirc1(A, B, C)))) ) ) ) ) ) ) ) ).
fof(t134_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (C=k4_tarski(k10_finseq_1(A, B), k1_facirc_1))  &  ( ~ (A=k4_tarski(k10_finseq_1(B, C), k6_twoscomp))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k6_twoscomp))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k6_twoscomp))  &  ~ ( (r2_tarski(A, k2_msafree2(k49_gfacirc1(A, B, C))) &  (r2_tarski(B, k2_msafree2(k49_gfacirc1(A, B, C))) & r2_tarski(C, k2_msafree2(k49_gfacirc1(A, B, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(d51_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k51_gfacirc1(A, B, C)=k4_tarski(k11_finseq_1(k4_tarski(k10_finseq_1(A, B), k6_twoscomp), k4_tarski(k10_finseq_1(B, C), k6_twoscomp), k4_tarski(k10_finseq_1(C, A), k6_twoscomp)), k18_twoscomp)) ) ) ).
fof(d52_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] : k52_gfacirc1(A, B, C)=k9_facirc_1(A, B, C, k1_facirc_1)) ) ) ).
fof(t135_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (C=k4_tarski(k10_finseq_1(A, B), k1_facirc_1))  &  ( ~ (A=k4_tarski(k10_finseq_1(B, C), k6_twoscomp))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k6_twoscomp))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k6_twoscomp))  &  (? [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k49_gfacirc1(A, B, C), k50_gfacirc1(A, B, C)))) &  (? [E] :  (m1_subset_1(E, k5_margrel1) &  (? [F] :  (m1_subset_1(F, k5_margrel1) &  (? [G] :  (m1_subset_1(G, k5_margrel1) &  (E=k1_funct_1(D, A) &  (F=k1_funct_1(D, B) &  (G=k1_funct_1(D, C) &  ~ ( (k1_funct_1(k5_facirc_1(k49_gfacirc1(A, B, C), k50_gfacirc1(A, B, C), D, 2), k48_gfacirc1(A, B, C))=k8_margrel1(k2_binarith(k2_binarith(k8_margrel1(E), k8_margrel1(F)), k8_margrel1(G))) & k1_funct_1(k5_facirc_1(k49_gfacirc1(A, B, C), k50_gfacirc1(A, B, C), D, 2), k45_gfacirc1(A, B, C))=k8_margrel1(k1_binarith(k1_binarith(k9_margrel1(k8_margrel1(E), k8_margrel1(F)), k9_margrel1(k8_margrel1(F), k8_margrel1(G))), k9_margrel1(k8_margrel1(G), k8_margrel1(E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t136_gfacirc1, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( ( ~ (C=k4_tarski(k10_finseq_1(A, B), k1_facirc_1))  &  ( ~ (A=k4_tarski(k10_finseq_1(B, C), k6_twoscomp))  &  ( ~ (B=k4_tarski(k10_finseq_1(C, A), k6_twoscomp))  &  ( ~ (C=k4_tarski(k10_finseq_1(A, B), k6_twoscomp))  &  ~ ( (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k49_gfacirc1(A, B, C), k50_gfacirc1(A, B, C)))) => v1_circuit2(k5_facirc_1(k49_gfacirc1(A, B, C), k50_gfacirc1(A, B, C), D, 2), k49_gfacirc1(A, B, C), k50_gfacirc1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_gfacirc1, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(1, k5_margrel1), k5_margrel1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(1, k5_margrel1), k5_margrel1)))) )  &  (! [B] :  (m1_subset_1(B, k5_margrel1) => k1_funct_1(A, k10_binarith(k5_margrel1, B))=f1_s1_gfacirc1(B)) ) ) ) ).
fof(s2_gfacirc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(1, k5_margrel1), k5_margrel1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(1, k5_margrel1), k5_margrel1)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_2(1, k5_margrel1), k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(1, k5_margrel1), k5_margrel1)))) )  =>  ( ( (! [C] :  (m1_subset_1(C, k5_margrel1) => k1_funct_1(A, k10_binarith(k5_margrel1, C))=f1_s2_gfacirc1(C)) )  &  (! [C] :  (m1_subset_1(C, k5_margrel1) => k1_funct_1(B, k10_binarith(k5_margrel1, C))=f1_s2_gfacirc1(C)) ) )  => r2_funct_2(k4_finseq_2(1, k5_margrel1), k5_margrel1, A, B)) ) ) ) ) ).
fof(s3_gfacirc1, axiom,  ( (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(1, k5_margrel1), k5_margrel1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(1, k5_margrel1), k5_margrel1)))) )  &  (! [B] :  (m1_subset_1(B, k5_margrel1) => k1_funct_1(A, k10_binarith(k5_margrel1, B))=f1_s3_gfacirc1(B)) ) ) )  &  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_finseq_2(1, k5_margrel1), k5_margrel1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(1, k5_margrel1), k5_margrel1)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_2(1, k5_margrel1), k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(1, k5_margrel1), k5_margrel1)))) )  =>  ( ( (! [C] :  (m1_subset_1(C, k5_margrel1) => k1_funct_1(A, k10_binarith(k5_margrel1, C))=f1_s3_gfacirc1(C)) )  &  (! [C] :  (m1_subset_1(C, k5_margrel1) => k1_funct_1(B, k10_binarith(k5_margrel1, C))=f1_s3_gfacirc1(C)) ) )  => r2_funct_2(k4_finseq_2(1, k5_margrel1), k5_margrel1, A, B)) ) ) ) ) ) ).
fof(dt_f1_s1_gfacirc1, axiom,  (! [A] : m1_subset_1(f1_s1_gfacirc1(A), k5_margrel1)) ).
fof(dt_f1_s2_gfacirc1, axiom,  (! [A] : m1_subset_1(f1_s2_gfacirc1(A), k5_margrel1)) ).
fof(dt_f1_s3_gfacirc1, axiom,  (! [A] : m1_subset_1(f1_s3_gfacirc1(A), k5_margrel1)) ).
fof(dt_k1_gfacirc1, axiom,  (v1_funct_1(k1_gfacirc1) &  (v1_funct_2(k1_gfacirc1, k4_finseq_2(1, k5_margrel1), k5_margrel1) & m1_subset_1(k1_gfacirc1, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(1, k5_margrel1), k5_margrel1)))) ) ).
fof(dt_k2_gfacirc1, axiom,  (v1_funct_1(k2_gfacirc1) &  (v1_funct_2(k2_gfacirc1, k4_finseq_2(1, k5_margrel1), k5_margrel1) & m1_subset_1(k2_gfacirc1, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(1, k5_margrel1), k5_margrel1)))) ) ).
fof(dt_k3_gfacirc1, axiom,  (v1_funct_1(k3_gfacirc1) &  (v1_funct_2(k3_gfacirc1, k4_finseq_2(2, k5_margrel1), k5_margrel1) & m1_subset_1(k3_gfacirc1, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, k5_margrel1), k5_margrel1)))) ) ).
fof(dt_k4_gfacirc1, axiom,  (v1_funct_1(k4_gfacirc1) &  (v1_funct_2(k4_gfacirc1, k4_finseq_2(2, k5_margrel1), k5_margrel1) & m1_subset_1(k4_gfacirc1, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, k5_margrel1), k5_margrel1)))) ) ).
fof(dt_k5_gfacirc1, axiom,  (! [A, B, C] :  ( ~ (v2_struct_0(k5_gfacirc1(A, B, C)))  &  ( ~ (v11_struct_0(k5_gfacirc1(A, B, C)))  &  (v1_msualg_1(k5_gfacirc1(A, B, C)) &  (v1_circcomb(k5_gfacirc1(A, B, C)) &  (v2_circcomb(k5_gfacirc1(A, B, C)) &  (v3_circcomb(k5_gfacirc1(A, B, C)) & l1_msualg_1(k5_gfacirc1(A, B, C))) ) ) ) ) ) ) ).
fof(dt_k6_gfacirc1, axiom,  (! [A, B, C] :  (v3_msualg_1(k6_gfacirc1(A, B, C), k5_gfacirc1(A, B, C)) &  (v4_msafree2(k6_gfacirc1(A, B, C), k5_gfacirc1(A, B, C)) &  (v4_circcomb(k6_gfacirc1(A, B, C), k5_gfacirc1(A, B, C)) &  (v6_circcomb(k6_gfacirc1(A, B, C), k5_gfacirc1(A, B, C)) & l3_msualg_1(k6_gfacirc1(A, B, C), k5_gfacirc1(A, B, C))) ) ) ) ) ).
fof(dt_k7_gfacirc1, axiom,  (! [A, B, C] :  ( ~ (v2_struct_0(k7_gfacirc1(A, B, C)))  &  ( ~ (v11_struct_0(k7_gfacirc1(A, B, C)))  &  (v1_msualg_1(k7_gfacirc1(A, B, C)) &  (v1_circcomb(k7_gfacirc1(A, B, C)) &  (v2_circcomb(k7_gfacirc1(A, B, C)) &  (v3_circcomb(k7_gfacirc1(A, B, C)) & l1_msualg_1(k7_gfacirc1(A, B, C))) ) ) ) ) ) ) ).
fof(dt_k8_gfacirc1, axiom,  (! [A, B, C] :  (v3_msualg_1(k8_gfacirc1(A, B, C), k7_gfacirc1(A, B, C)) &  (v4_msafree2(k8_gfacirc1(A, B, C), k7_gfacirc1(A, B, C)) &  (v4_circcomb(k8_gfacirc1(A, B, C), k7_gfacirc1(A, B, C)) &  (v6_circcomb(k8_gfacirc1(A, B, C), k7_gfacirc1(A, B, C)) & l3_msualg_1(k8_gfacirc1(A, B, C), k7_gfacirc1(A, B, C))) ) ) ) ) ).
fof(dt_k9_gfacirc1, axiom,  (! [A, B, C] : m2_subset_1(k9_gfacirc1(A, B, C), u1_struct_0(k7_gfacirc1(A, B, C)), k3_msafree2(k7_gfacirc1(A, B, C)))) ).
fof(dt_k10_gfacirc1, axiom,  (! [A, B, C] :  ( ~ (v2_struct_0(k10_gfacirc1(A, B, C)))  &  ( ~ (v11_struct_0(k10_gfacirc1(A, B, C)))  &  (v1_msualg_1(k10_gfacirc1(A, B, C)) &  (v1_circcomb(k10_gfacirc1(A, B, C)) &  (v2_circcomb(k10_gfacirc1(A, B, C)) &  (v3_circcomb(k10_gfacirc1(A, B, C)) & l1_msualg_1(k10_gfacirc1(A, B, C))) ) ) ) ) ) ) ).
fof(dt_k11_gfacirc1, axiom,  (! [A, B, C] :  (v3_msualg_1(k11_gfacirc1(A, B, C), k10_gfacirc1(A, B, C)) &  (v4_msafree2(k11_gfacirc1(A, B, C), k10_gfacirc1(A, B, C)) &  (v4_circcomb(k11_gfacirc1(A, B, C), k10_gfacirc1(A, B, C)) &  (v6_circcomb(k11_gfacirc1(A, B, C), k10_gfacirc1(A, B, C)) & l3_msualg_1(k11_gfacirc1(A, B, C), k10_gfacirc1(A, B, C))) ) ) ) ) ).
fof(dt_k12_gfacirc1, axiom,  (! [A, B, C] : m2_subset_1(k12_gfacirc1(A, B, C), u1_struct_0(k10_gfacirc1(A, B, C)), k3_msafree2(k10_gfacirc1(A, B, C)))) ).
fof(dt_k13_gfacirc1, axiom,  (! [A, B, C] :  ( ~ (v2_struct_0(k13_gfacirc1(A, B, C)))  &  ( ~ (v11_struct_0(k13_gfacirc1(A, B, C)))  &  (v1_msualg_1(k13_gfacirc1(A, B, C)) &  (v1_circcomb(k13_gfacirc1(A, B, C)) &  (v2_circcomb(k13_gfacirc1(A, B, C)) &  (v3_circcomb(k13_gfacirc1(A, B, C)) & l1_msualg_1(k13_gfacirc1(A, B, C))) ) ) ) ) ) ) ).
fof(dt_k14_gfacirc1, axiom,  (! [A, B, C] :  (v3_msualg_1(k14_gfacirc1(A, B, C), k13_gfacirc1(A, B, C)) &  (v4_msafree2(k14_gfacirc1(A, B, C), k13_gfacirc1(A, B, C)) &  (v4_circcomb(k14_gfacirc1(A, B, C), k13_gfacirc1(A, B, C)) &  (v6_circcomb(k14_gfacirc1(A, B, C), k13_gfacirc1(A, B, C)) & l3_msualg_1(k14_gfacirc1(A, B, C), k13_gfacirc1(A, B, C))) ) ) ) ) ).
fof(dt_k15_gfacirc1, axiom,  (! [A, B, C] : m2_subset_1(k15_gfacirc1(A, B, C), u1_struct_0(k13_gfacirc1(A, B, C)), k3_msafree2(k13_gfacirc1(A, B, C)))) ).
fof(dt_k16_gfacirc1, axiom,  (! [A, B, C] : m2_subset_1(k16_gfacirc1(A, B, C), u1_struct_0(k13_gfacirc1(A, B, C)), k3_msafree2(k13_gfacirc1(A, B, C)))) ).
fof(dt_k17_gfacirc1, axiom,  (! [A, B, C] :  ( ~ (v2_struct_0(k17_gfacirc1(A, B, C)))  &  ( ~ (v11_struct_0(k17_gfacirc1(A, B, C)))  &  (v1_msualg_1(k17_gfacirc1(A, B, C)) &  (v1_circcomb(k17_gfacirc1(A, B, C)) &  (v2_circcomb(k17_gfacirc1(A, B, C)) &  (v3_circcomb(k17_gfacirc1(A, B, C)) & l1_msualg_1(k17_gfacirc1(A, B, C))) ) ) ) ) ) ) ).
fof(dt_k18_gfacirc1, axiom,  (! [A, B, C] :  (v3_msualg_1(k18_gfacirc1(A, B, C), k17_gfacirc1(A, B, C)) &  (v4_msafree2(k18_gfacirc1(A, B, C), k17_gfacirc1(A, B, C)) &  (v4_circcomb(k18_gfacirc1(A, B, C), k17_gfacirc1(A, B, C)) &  (v6_circcomb(k18_gfacirc1(A, B, C), k17_gfacirc1(A, B, C)) & l3_msualg_1(k18_gfacirc1(A, B, C), k17_gfacirc1(A, B, C))) ) ) ) ) ).
fof(dt_k19_gfacirc1, axiom,  (! [A, B, C] :  ( ~ (v2_struct_0(k19_gfacirc1(A, B, C)))  &  ( ~ (v11_struct_0(k19_gfacirc1(A, B, C)))  &  (v1_msualg_1(k19_gfacirc1(A, B, C)) &  (v1_circcomb(k19_gfacirc1(A, B, C)) &  (v2_circcomb(k19_gfacirc1(A, B, C)) &  (v3_circcomb(k19_gfacirc1(A, B, C)) & l1_msualg_1(k19_gfacirc1(A, B, C))) ) ) ) ) ) ) ).
fof(dt_k20_gfacirc1, axiom,  (! [A, B, C] :  (v3_msualg_1(k20_gfacirc1(A, B, C), k19_gfacirc1(A, B, C)) &  (v4_msafree2(k20_gfacirc1(A, B, C), k19_gfacirc1(A, B, C)) &  (v4_circcomb(k20_gfacirc1(A, B, C), k19_gfacirc1(A, B, C)) &  (v6_circcomb(k20_gfacirc1(A, B, C), k19_gfacirc1(A, B, C)) & l3_msualg_1(k20_gfacirc1(A, B, C), k19_gfacirc1(A, B, C))) ) ) ) ) ).
fof(dt_k21_gfacirc1, axiom,  (! [A, B, C] : m2_subset_1(k21_gfacirc1(A, B, C), u1_struct_0(k19_gfacirc1(A, B, C)), k3_msafree2(k19_gfacirc1(A, B, C)))) ).
fof(dt_k22_gfacirc1, axiom,  (! [A, B, C] :  ( ~ (v2_struct_0(k22_gfacirc1(A, B, C)))  &  ( ~ (v11_struct_0(k22_gfacirc1(A, B, C)))  &  (v1_msualg_1(k22_gfacirc1(A, B, C)) &  (v1_circcomb(k22_gfacirc1(A, B, C)) &  (v2_circcomb(k22_gfacirc1(A, B, C)) &  (v3_circcomb(k22_gfacirc1(A, B, C)) & l1_msualg_1(k22_gfacirc1(A, B, C))) ) ) ) ) ) ) ).
fof(dt_k23_gfacirc1, axiom,  (! [A, B, C] :  (v3_msualg_1(k23_gfacirc1(A, B, C), k22_gfacirc1(A, B, C)) &  (v4_msafree2(k23_gfacirc1(A, B, C), k22_gfacirc1(A, B, C)) &  (v4_circcomb(k23_gfacirc1(A, B, C), k22_gfacirc1(A, B, C)) &  (v6_circcomb(k23_gfacirc1(A, B, C), k22_gfacirc1(A, B, C)) & l3_msualg_1(k23_gfacirc1(A, B, C), k22_gfacirc1(A, B, C))) ) ) ) ) ).
fof(dt_k24_gfacirc1, axiom,  (! [A, B, C] : m2_subset_1(k24_gfacirc1(A, B, C), u1_struct_0(k22_gfacirc1(A, B, C)), k3_msafree2(k22_gfacirc1(A, B, C)))) ).
fof(dt_k25_gfacirc1, axiom,  (! [A, B, C] :  ( ~ (v2_struct_0(k25_gfacirc1(A, B, C)))  &  ( ~ (v11_struct_0(k25_gfacirc1(A, B, C)))  &  (v1_msualg_1(k25_gfacirc1(A, B, C)) &  (v1_circcomb(k25_gfacirc1(A, B, C)) &  (v2_circcomb(k25_gfacirc1(A, B, C)) &  (v3_circcomb(k25_gfacirc1(A, B, C)) & l1_msualg_1(k25_gfacirc1(A, B, C))) ) ) ) ) ) ) ).
fof(dt_k26_gfacirc1, axiom,  (! [A, B, C] :  (v3_msualg_1(k26_gfacirc1(A, B, C), k25_gfacirc1(A, B, C)) &  (v4_msafree2(k26_gfacirc1(A, B, C), k25_gfacirc1(A, B, C)) &  (v4_circcomb(k26_gfacirc1(A, B, C), k25_gfacirc1(A, B, C)) &  (v6_circcomb(k26_gfacirc1(A, B, C), k25_gfacirc1(A, B, C)) & l3_msualg_1(k26_gfacirc1(A, B, C), k25_gfacirc1(A, B, C))) ) ) ) ) ).
fof(dt_k27_gfacirc1, axiom,  (! [A, B, C] : m2_subset_1(k27_gfacirc1(A, B, C), u1_struct_0(k25_gfacirc1(A, B, C)), k3_msafree2(k25_gfacirc1(A, B, C)))) ).
fof(dt_k28_gfacirc1, axiom,  (! [A, B, C] : m2_subset_1(k28_gfacirc1(A, B, C), u1_struct_0(k25_gfacirc1(A, B, C)), k3_msafree2(k25_gfacirc1(A, B, C)))) ).
fof(dt_k29_gfacirc1, axiom,  (! [A, B, C] :  ( ~ (v2_struct_0(k29_gfacirc1(A, B, C)))  &  ( ~ (v11_struct_0(k29_gfacirc1(A, B, C)))  &  (v1_msualg_1(k29_gfacirc1(A, B, C)) &  (v1_circcomb(k29_gfacirc1(A, B, C)) &  (v2_circcomb(k29_gfacirc1(A, B, C)) &  (v3_circcomb(k29_gfacirc1(A, B, C)) & l1_msualg_1(k29_gfacirc1(A, B, C))) ) ) ) ) ) ) ).
fof(dt_k30_gfacirc1, axiom,  (! [A, B, C] :  (v3_msualg_1(k30_gfacirc1(A, B, C), k29_gfacirc1(A, B, C)) &  (v4_msafree2(k30_gfacirc1(A, B, C), k29_gfacirc1(A, B, C)) &  (v4_circcomb(k30_gfacirc1(A, B, C), k29_gfacirc1(A, B, C)) &  (v6_circcomb(k30_gfacirc1(A, B, C), k29_gfacirc1(A, B, C)) & l3_msualg_1(k30_gfacirc1(A, B, C), k29_gfacirc1(A, B, C))) ) ) ) ) ).
fof(dt_k31_gfacirc1, axiom,  (! [A, B, C] :  ( ~ (v2_struct_0(k31_gfacirc1(A, B, C)))  &  ( ~ (v11_struct_0(k31_gfacirc1(A, B, C)))  &  (v1_msualg_1(k31_gfacirc1(A, B, C)) &  (v1_circcomb(k31_gfacirc1(A, B, C)) &  (v2_circcomb(k31_gfacirc1(A, B, C)) &  (v3_circcomb(k31_gfacirc1(A, B, C)) & l1_msualg_1(k31_gfacirc1(A, B, C))) ) ) ) ) ) ) ).
fof(dt_k32_gfacirc1, axiom,  (! [A, B, C] :  (v3_msualg_1(k32_gfacirc1(A, B, C), k31_gfacirc1(A, B, C)) &  (v4_msafree2(k32_gfacirc1(A, B, C), k31_gfacirc1(A, B, C)) &  (v4_circcomb(k32_gfacirc1(A, B, C), k31_gfacirc1(A, B, C)) &  (v6_circcomb(k32_gfacirc1(A, B, C), k31_gfacirc1(A, B, C)) & l3_msualg_1(k32_gfacirc1(A, B, C), k31_gfacirc1(A, B, C))) ) ) ) ) ).
fof(dt_k33_gfacirc1, axiom,  (! [A, B, C] : m2_subset_1(k33_gfacirc1(A, B, C), u1_struct_0(k31_gfacirc1(A, B, C)), k3_msafree2(k31_gfacirc1(A, B, C)))) ).
fof(dt_k34_gfacirc1, axiom,  (! [A, B, C] :  ( ~ (v2_struct_0(k34_gfacirc1(A, B, C)))  &  ( ~ (v11_struct_0(k34_gfacirc1(A, B, C)))  &  (v1_msualg_1(k34_gfacirc1(A, B, C)) &  (v1_circcomb(k34_gfacirc1(A, B, C)) &  (v2_circcomb(k34_gfacirc1(A, B, C)) &  (v3_circcomb(k34_gfacirc1(A, B, C)) & l1_msualg_1(k34_gfacirc1(A, B, C))) ) ) ) ) ) ) ).
fof(dt_k35_gfacirc1, axiom,  (! [A, B, C] :  (v3_msualg_1(k35_gfacirc1(A, B, C), k34_gfacirc1(A, B, C)) &  (v4_msafree2(k35_gfacirc1(A, B, C), k34_gfacirc1(A, B, C)) &  (v4_circcomb(k35_gfacirc1(A, B, C), k34_gfacirc1(A, B, C)) &  (v6_circcomb(k35_gfacirc1(A, B, C), k34_gfacirc1(A, B, C)) & l3_msualg_1(k35_gfacirc1(A, B, C), k34_gfacirc1(A, B, C))) ) ) ) ) ).
fof(dt_k36_gfacirc1, axiom,  (! [A, B, C] : m2_subset_1(k36_gfacirc1(A, B, C), u1_struct_0(k34_gfacirc1(A, B, C)), k3_msafree2(k34_gfacirc1(A, B, C)))) ).
fof(dt_k37_gfacirc1, axiom,  (! [A, B, C] :  ( ~ (v2_struct_0(k37_gfacirc1(A, B, C)))  &  ( ~ (v11_struct_0(k37_gfacirc1(A, B, C)))  &  (v1_msualg_1(k37_gfacirc1(A, B, C)) &  (v1_circcomb(k37_gfacirc1(A, B, C)) &  (v2_circcomb(k37_gfacirc1(A, B, C)) &  (v3_circcomb(k37_gfacirc1(A, B, C)) & l1_msualg_1(k37_gfacirc1(A, B, C))) ) ) ) ) ) ) ).
fof(dt_k38_gfacirc1, axiom,  (! [A, B, C] :  (v3_msualg_1(k38_gfacirc1(A, B, C), k37_gfacirc1(A, B, C)) &  (v4_msafree2(k38_gfacirc1(A, B, C), k37_gfacirc1(A, B, C)) &  (v4_circcomb(k38_gfacirc1(A, B, C), k37_gfacirc1(A, B, C)) &  (v6_circcomb(k38_gfacirc1(A, B, C), k37_gfacirc1(A, B, C)) & l3_msualg_1(k38_gfacirc1(A, B, C), k37_gfacirc1(A, B, C))) ) ) ) ) ).
fof(dt_k39_gfacirc1, axiom,  (! [A, B, C] : m2_subset_1(k39_gfacirc1(A, B, C), u1_struct_0(k37_gfacirc1(A, B, C)), k3_msafree2(k37_gfacirc1(A, B, C)))) ).
fof(dt_k40_gfacirc1, axiom,  (! [A, B, C] : m2_subset_1(k40_gfacirc1(A, B, C), u1_struct_0(k37_gfacirc1(A, B, C)), k3_msafree2(k37_gfacirc1(A, B, C)))) ).
fof(dt_k41_gfacirc1, axiom,  (! [A, B, C] :  ( ~ (v2_struct_0(k41_gfacirc1(A, B, C)))  &  ( ~ (v11_struct_0(k41_gfacirc1(A, B, C)))  &  (v1_msualg_1(k41_gfacirc1(A, B, C)) &  (v1_circcomb(k41_gfacirc1(A, B, C)) &  (v2_circcomb(k41_gfacirc1(A, B, C)) &  (v3_circcomb(k41_gfacirc1(A, B, C)) & l1_msualg_1(k41_gfacirc1(A, B, C))) ) ) ) ) ) ) ).
fof(dt_k42_gfacirc1, axiom,  (! [A, B, C] :  (v3_msualg_1(k42_gfacirc1(A, B, C), k41_gfacirc1(A, B, C)) &  (v4_msafree2(k42_gfacirc1(A, B, C), k41_gfacirc1(A, B, C)) &  (v4_circcomb(k42_gfacirc1(A, B, C), k41_gfacirc1(A, B, C)) &  (v6_circcomb(k42_gfacirc1(A, B, C), k41_gfacirc1(A, B, C)) & l3_msualg_1(k42_gfacirc1(A, B, C), k41_gfacirc1(A, B, C))) ) ) ) ) ).
fof(dt_k43_gfacirc1, axiom,  (! [A, B, C] :  ( ~ (v2_struct_0(k43_gfacirc1(A, B, C)))  &  ( ~ (v11_struct_0(k43_gfacirc1(A, B, C)))  &  (v1_msualg_1(k43_gfacirc1(A, B, C)) &  (v1_circcomb(k43_gfacirc1(A, B, C)) &  (v2_circcomb(k43_gfacirc1(A, B, C)) &  (v3_circcomb(k43_gfacirc1(A, B, C)) & l1_msualg_1(k43_gfacirc1(A, B, C))) ) ) ) ) ) ) ).
fof(dt_k44_gfacirc1, axiom,  (! [A, B, C] :  (v3_msualg_1(k44_gfacirc1(A, B, C), k43_gfacirc1(A, B, C)) &  (v4_msafree2(k44_gfacirc1(A, B, C), k43_gfacirc1(A, B, C)) &  (v4_circcomb(k44_gfacirc1(A, B, C), k43_gfacirc1(A, B, C)) &  (v6_circcomb(k44_gfacirc1(A, B, C), k43_gfacirc1(A, B, C)) & l3_msualg_1(k44_gfacirc1(A, B, C), k43_gfacirc1(A, B, C))) ) ) ) ) ).
fof(dt_k45_gfacirc1, axiom,  (! [A, B, C] : m2_subset_1(k45_gfacirc1(A, B, C), u1_struct_0(k43_gfacirc1(A, B, C)), k3_msafree2(k43_gfacirc1(A, B, C)))) ).
fof(dt_k46_gfacirc1, axiom,  (! [A, B, C] :  ( ~ (v2_struct_0(k46_gfacirc1(A, B, C)))  &  ( ~ (v11_struct_0(k46_gfacirc1(A, B, C)))  &  (v1_msualg_1(k46_gfacirc1(A, B, C)) &  (v1_circcomb(k46_gfacirc1(A, B, C)) &  (v2_circcomb(k46_gfacirc1(A, B, C)) &  (v3_circcomb(k46_gfacirc1(A, B, C)) & l1_msualg_1(k46_gfacirc1(A, B, C))) ) ) ) ) ) ) ).
fof(dt_k47_gfacirc1, axiom,  (! [A, B, C] :  (v3_msualg_1(k47_gfacirc1(A, B, C), k46_gfacirc1(A, B, C)) &  (v4_msafree2(k47_gfacirc1(A, B, C), k46_gfacirc1(A, B, C)) &  (v4_circcomb(k47_gfacirc1(A, B, C), k46_gfacirc1(A, B, C)) &  (v6_circcomb(k47_gfacirc1(A, B, C), k46_gfacirc1(A, B, C)) & l3_msualg_1(k47_gfacirc1(A, B, C), k46_gfacirc1(A, B, C))) ) ) ) ) ).
fof(dt_k48_gfacirc1, axiom,  (! [A, B, C] : m2_subset_1(k48_gfacirc1(A, B, C), u1_struct_0(k46_gfacirc1(A, B, C)), k3_msafree2(k46_gfacirc1(A, B, C)))) ).
fof(dt_k49_gfacirc1, axiom,  (! [A, B, C] :  ( ~ (v2_struct_0(k49_gfacirc1(A, B, C)))  &  ( ~ (v11_struct_0(k49_gfacirc1(A, B, C)))  &  (v1_msualg_1(k49_gfacirc1(A, B, C)) &  (v1_circcomb(k49_gfacirc1(A, B, C)) &  (v2_circcomb(k49_gfacirc1(A, B, C)) &  (v3_circcomb(k49_gfacirc1(A, B, C)) & l1_msualg_1(k49_gfacirc1(A, B, C))) ) ) ) ) ) ) ).
fof(dt_k50_gfacirc1, axiom,  (! [A, B, C] :  (v3_msualg_1(k50_gfacirc1(A, B, C), k49_gfacirc1(A, B, C)) &  (v4_msafree2(k50_gfacirc1(A, B, C), k49_gfacirc1(A, B, C)) &  (v4_circcomb(k50_gfacirc1(A, B, C), k49_gfacirc1(A, B, C)) &  (v6_circcomb(k50_gfacirc1(A, B, C), k49_gfacirc1(A, B, C)) & l3_msualg_1(k50_gfacirc1(A, B, C), k49_gfacirc1(A, B, C))) ) ) ) ) ).
fof(dt_k51_gfacirc1, axiom,  (! [A, B, C] : m2_subset_1(k51_gfacirc1(A, B, C), u1_struct_0(k49_gfacirc1(A, B, C)), k3_msafree2(k49_gfacirc1(A, B, C)))) ).
fof(dt_k52_gfacirc1, axiom,  (! [A, B, C] : m2_subset_1(k52_gfacirc1(A, B, C), u1_struct_0(k49_gfacirc1(A, B, C)), k3_msafree2(k49_gfacirc1(A, B, C)))) ).
fof(fc1_gfacirc2, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) )  => v1_xtuple_0(k3_gfacirc2(A, B, C))) ) ).
fof(fc2_gfacirc2, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) )  => v1_xtuple_0(k7_gfacirc2(A, B, C))) ) ).
fof(d1_gfacirc2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v1_msualg_1(D) &  (v1_circcomb(D) &  (v2_circcomb(D) &  (v3_circcomb(D) & l1_msualg_1(D)) ) ) ) ) )  =>  (D=k1_gfacirc2(A, B, C) <=>  (? [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v1_funct_1(E) & v1_partfun1(E, k4_ordinal1)) ) )  &  (? [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, k4_ordinal1) &  (v1_funct_1(F) & v1_partfun1(F, k4_ordinal1)) ) )  &  (D=k1_funct_1(E, A) &  (k1_funct_1(E, k5_numbers)=k5_circcomb(k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1), k1_xboole_0) &  (k1_funct_1(F, k5_numbers)=k4_tarski(k1_xboole_0, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1)) &  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  ( ( ~ (v2_struct_0(H))  & l1_msualg_1(H))  =>  (! [I] :  ( (H=k1_funct_1(E, G) & I=k1_funct_1(F, G))  =>  (k1_funct_1(E, k1_nat_1(G, 1))=k2_circcomb(H, k13_gfacirc1(k1_funct_1(B, k1_nat_1(G, 1)), k1_funct_1(C, k1_nat_1(G, 1)), I)) & k1_funct_1(F, k1_nat_1(G, 1))=k9_gfacirc1(k1_funct_1(B, k1_nat_1(G, 1)), k1_funct_1(C, k1_nat_1(G, 1)), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_gfacirc2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v3_msualg_1(D, k1_gfacirc2(A, B, C)) &  (v4_msafree2(D, k1_gfacirc2(A, B, C)) &  (v4_circcomb(D, k1_gfacirc2(A, B, C)) &  (v6_circcomb(D, k1_gfacirc2(A, B, C)) & l3_msualg_1(D, k1_gfacirc2(A, B, C))) ) ) )  =>  (D=k2_gfacirc2(A, B, C) <=>  (? [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v1_funct_1(E) & v1_partfun1(E, k4_ordinal1)) ) )  &  (? [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, k4_ordinal1) &  (v1_funct_1(F) & v1_partfun1(F, k4_ordinal1)) ) )  &  (? [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, k4_ordinal1) &  (v1_funct_1(G) & v1_partfun1(G, k4_ordinal1)) ) )  &  (k1_gfacirc2(A, B, C)=k1_funct_1(E, A) &  (D=k1_funct_1(F, A) &  (k1_funct_1(E, k5_numbers)=k5_circcomb(k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1), k1_xboole_0) &  (k1_funct_1(F, k5_numbers)=k7_circcomb(k5_ordinal1, k5_margrel1, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1), k1_xboole_0) &  (k1_funct_1(G, k5_numbers)=k4_tarski(k1_xboole_0, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1)) &  (! [H] :  (v7_ordinal1(H) =>  (! [I] :  ( ( ~ (v2_struct_0(I))  & l1_msualg_1(I))  =>  (! [J] :  ( (v4_msualg_1(J, I) & l3_msualg_1(J, I))  =>  (! [K] :  ( (I=k1_funct_1(E, H) &  (J=k1_funct_1(F, H) & K=k1_funct_1(G, H)) )  =>  (k1_funct_1(E, k1_nat_1(H, 1))=k2_circcomb(I, k13_gfacirc1(k1_funct_1(B, k1_nat_1(H, 1)), k1_funct_1(C, k1_nat_1(H, 1)), K)) &  (k1_funct_1(F, k1_nat_1(H, 1))=k3_circcomb(I, k13_gfacirc1(k1_funct_1(B, k1_nat_1(H, 1)), k1_funct_1(C, k1_nat_1(H, 1)), K), J, k14_gfacirc1(k1_funct_1(B, k1_nat_1(H, 1)), k1_funct_1(C, k1_nat_1(H, 1)), K)) & k1_funct_1(G, k1_nat_1(H, 1))=k9_gfacirc1(k1_funct_1(B, k1_nat_1(H, 1)), k1_funct_1(C, k1_nat_1(H, 1)), K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_gfacirc2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  (m2_subset_1(D, u1_struct_0(k1_gfacirc2(A, B, C)), k3_msafree2(k1_gfacirc2(A, B, C))) =>  (D=k3_gfacirc2(A, B, C) <=>  (? [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v1_funct_1(E) & v1_partfun1(E, k4_ordinal1)) ) )  &  (D=k1_funct_1(E, A) &  (k1_funct_1(E, k5_numbers)=k4_tarski(k1_xboole_0, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1)) &  (! [F] :  (v7_ordinal1(F) => k1_funct_1(E, k1_nat_1(F, 1))=k9_gfacirc1(k1_funct_1(B, k1_nat_1(F, 1)), k1_funct_1(C, k1_nat_1(F, 1)), k1_funct_1(E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_gfacirc2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v1_funct_1(D) & v1_partfun1(D, k4_ordinal1)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v1_funct_1(E) & v1_partfun1(E, k4_ordinal1)) ) )  =>  ( (k1_funct_1(C, k5_numbers)=k5_circcomb(k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1), k1_xboole_0) &  (k1_funct_1(D, k5_numbers)=k7_circcomb(k5_ordinal1, k5_margrel1, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1), k1_xboole_0) &  (k1_funct_1(E, k5_numbers)=k4_tarski(k1_xboole_0, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1)) &  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_msualg_1(G))  =>  (! [H] :  ( (v4_msualg_1(H, G) & l3_msualg_1(H, G))  =>  (! [I] :  ( (G=k1_funct_1(C, F) &  (H=k1_funct_1(D, F) & I=k1_funct_1(E, F)) )  =>  (k1_funct_1(C, k1_nat_1(F, 1))=k2_circcomb(G, k13_gfacirc1(k1_funct_1(A, k1_nat_1(F, 1)), k1_funct_1(B, k1_nat_1(F, 1)), I)) &  (k1_funct_1(D, k1_nat_1(F, 1))=k3_circcomb(G, k13_gfacirc1(k1_funct_1(A, k1_nat_1(F, 1)), k1_funct_1(B, k1_nat_1(F, 1)), I), H, k14_gfacirc1(k1_funct_1(A, k1_nat_1(F, 1)), k1_funct_1(B, k1_nat_1(F, 1)), I)) & k1_funct_1(E, k1_nat_1(F, 1))=k9_gfacirc1(k1_funct_1(A, k1_nat_1(F, 1)), k1_funct_1(B, k1_nat_1(F, 1)), I)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [F] :  (v7_ordinal1(F) =>  (k1_gfacirc2(F, A, B)=k1_funct_1(C, F) &  (k2_gfacirc2(F, A, B)=k1_funct_1(D, F) & k3_gfacirc2(F, A, B)=k1_funct_1(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_gfacirc2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (k1_gfacirc2(k5_numbers, A, B)=k5_circcomb(k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1), k1_xboole_0) &  (k2_gfacirc2(k5_numbers, A, B)=k7_circcomb(k5_ordinal1, k5_margrel1, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1), k1_xboole_0) & k3_gfacirc2(k5_numbers, A, B)=k4_tarski(k1_xboole_0, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1))) ) ) ) ) ) ).
fof(t3_gfacirc2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (C=k4_tarski(k1_xboole_0, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1)) =>  (k1_gfacirc2(1, A, B)=k2_circcomb(k5_circcomb(k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1), k1_xboole_0), k13_gfacirc1(k1_funct_1(A, 1), k1_funct_1(B, 1), C)) &  (k2_gfacirc2(1, A, B)=k3_circcomb(k5_circcomb(k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1), k1_xboole_0), k13_gfacirc1(k1_funct_1(A, 1), k1_funct_1(B, 1), C), k7_circcomb(k5_ordinal1, k5_margrel1, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1), k1_xboole_0), k14_gfacirc1(k1_funct_1(A, 1), k1_funct_1(B, 1), C)) & k3_gfacirc2(1, A, B)=k9_gfacirc1(k1_funct_1(A, 1), k1_funct_1(B, 1), C)) ) ) ) ) ) ) ) ).
fof(t4_gfacirc2, axiom,  (! [A] :  (! [B] :  (! [C] :  (C=k4_tarski(k1_xboole_0, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1)) =>  (k1_gfacirc2(1, k9_finseq_1(A), k9_finseq_1(B))=k2_circcomb(k5_circcomb(k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1), k1_xboole_0), k13_gfacirc1(A, B, C)) &  (k2_gfacirc2(1, k9_finseq_1(A), k9_finseq_1(B))=k3_circcomb(k5_circcomb(k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1), k1_xboole_0), k13_gfacirc1(A, B, C), k7_circcomb(k5_ordinal1, k5_margrel1, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k6_margrel1), k1_xboole_0), k14_gfacirc1(A, B, C)) & k3_gfacirc2(1, k9_finseq_1(A), k9_finseq_1(B))=k9_gfacirc1(A, B, C)) ) ) ) ) ) ).
fof(t5_gfacirc2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) )  =>  (! [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) & v1_finseq_1(G)) )  =>  (k1_gfacirc2(A, k7_finseq_1(B, D), k7_finseq_1(C, F))=k1_gfacirc2(A, k7_finseq_1(B, E), k7_finseq_1(C, G)) &  (k2_gfacirc2(A, k7_finseq_1(B, D), k7_finseq_1(C, F))=k2_gfacirc2(A, k7_finseq_1(B, E), k7_finseq_1(C, G)) & k3_gfacirc2(A, k7_finseq_1(B, D), k7_finseq_1(C, F))=k3_gfacirc2(A, k7_finseq_1(B, E), k7_finseq_1(C, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_gfacirc2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) )  =>  (! [D] :  (! [E] :  (k1_gfacirc2(k1_nat_1(A, 1), k7_finseq_1(B, k9_finseq_1(D)), k7_finseq_1(C, k9_finseq_1(E)))=k2_circcomb(k1_gfacirc2(A, B, C), k13_gfacirc1(D, E, k3_gfacirc2(A, B, C))) &  (k2_gfacirc2(k1_nat_1(A, 1), k7_finseq_1(B, k9_finseq_1(D)), k7_finseq_1(C, k9_finseq_1(E)))=k3_circcomb(k1_gfacirc2(A, B, C), k13_gfacirc1(D, E, k3_gfacirc2(A, B, C)), k2_gfacirc2(A, B, C), k14_gfacirc1(D, E, k3_gfacirc2(A, B, C))) & k3_gfacirc2(k1_nat_1(A, 1), k7_finseq_1(B, k9_finseq_1(D)), k7_finseq_1(C, k9_finseq_1(E)))=k9_gfacirc1(D, E, k3_gfacirc2(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t7_gfacirc2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (k1_gfacirc2(k1_nat_1(A, 1), B, C)=k2_circcomb(k1_gfacirc2(A, B, C), k13_gfacirc1(k1_funct_1(B, k1_nat_1(A, 1)), k1_funct_1(C, k1_nat_1(A, 1)), k3_gfacirc2(A, B, C))) &  (k2_gfacirc2(k1_nat_1(A, 1), B, C)=k3_circcomb(k1_gfacirc2(A, B, C), k13_gfacirc1(k1_funct_1(B, k1_nat_1(A, 1)), k1_funct_1(C, k1_nat_1(A, 1)), k3_gfacirc2(A, B, C)), k2_gfacirc2(A, B, C), k14_gfacirc1(k1_funct_1(B, k1_nat_1(A, 1)), k1_funct_1(C, k1_nat_1(A, 1)), k3_gfacirc2(A, B, C))) & k3_gfacirc2(k1_nat_1(A, 1), B, C)=k9_gfacirc1(k1_funct_1(B, k1_nat_1(A, 1)), k1_funct_1(C, k1_nat_1(A, 1)), k3_gfacirc2(A, B, C))) ) ) ) ) ) ) ) ).
fof(t8_gfacirc2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(A, B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  => r1_tarski(k3_msafree2(k1_gfacirc2(A, C, D)), k3_msafree2(k1_gfacirc2(B, C, D)))) ) ) ) ) ) ) ) ) ).
fof(t9_gfacirc2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  => k3_msafree2(k1_gfacirc2(k1_nat_1(A, 1), B, C))=k2_xboole_0(k3_msafree2(k1_gfacirc2(A, B, C)), k3_msafree2(k13_gfacirc1(k1_funct_1(B, k1_nat_1(A, 1)), k1_funct_1(C, k1_nat_1(A, 1)), k3_gfacirc2(A, B, C))))) ) ) ) ) ) ).
fof(d4_gfacirc2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (! [E] :  (m2_subset_1(E, u1_struct_0(k1_gfacirc2(B, C, D)), k3_msafree2(k1_gfacirc2(B, C, D))) =>  (E=k4_gfacirc2(A, B, C, D) <=>  (? [F] :  (v7_ordinal1(F) &  (A=k1_nat_1(F, 1) & E=k12_gfacirc1(k1_funct_1(C, A), k1_funct_1(D, A), k3_gfacirc2(F, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_gfacirc2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(A, B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  => k4_gfacirc2(k1_nat_1(B, 1), A, C, D)=k12_gfacirc1(k1_funct_1(C, k1_nat_1(B, 1)), k1_funct_1(D, k1_nat_1(B, 1)), k3_gfacirc2(B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t11_gfacirc2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  => v1_relat_1(k3_msafree2(k1_gfacirc2(A, B, C)))) ) ) ) ) ) ).
fof(t12_gfacirc2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_facirc_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v2_facirc_1(B)) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (k2_msafree2(k1_gfacirc2(k1_nat_1(C, 1), A, B))=k2_xboole_0(k2_msafree2(k1_gfacirc2(C, A, B)), k7_subset_1(u1_struct_0(k13_gfacirc1(k1_funct_1(A, k1_nat_1(C, 1)), k1_funct_1(B, k1_nat_1(C, 1)), k3_gfacirc2(C, A, B))), k2_msafree2(k13_gfacirc1(k1_funct_1(A, k1_nat_1(C, 1)), k1_funct_1(B, k1_nat_1(C, 1)), k3_gfacirc2(C, A, B))), k1_tarski(k3_gfacirc2(C, A, B)))) &  (v1_relat_1(k3_msafree2(k1_gfacirc2(C, A, B))) &  ~ (v1_facirc_1(k2_msafree2(k1_gfacirc2(C, A, B)))) ) ) ) ) ) ) ) ) ).
fof(t13_gfacirc2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) &  (v1_finseq_1(B) & v2_facirc_1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) &  (v1_finseq_1(C) & v2_facirc_1(C)) ) ) )  => k2_msafree2(k1_gfacirc2(A, B, C))=k2_xboole_0(k10_xtuple_0(B), k10_xtuple_0(C))) ) ) ) ) ) ).
fof(t14_gfacirc2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) &  (v1_finseq_1(B) & v2_facirc_1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) &  (v1_finseq_1(C) & v2_facirc_1(C)) ) ) )  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k1_gfacirc2(A, B, C), k2_gfacirc2(A, B, C)))) => v1_circuit2(k5_facirc_1(k1_gfacirc2(A, B, C), k2_gfacirc2(A, B, C), D, k2_xcmplx_0(1, k3_xcmplx_0(2, A))), k1_gfacirc2(A, B, C), k2_gfacirc2(A, B, C))) ) ) ) ) ) ) ) ).
fof(d5_gfacirc2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v1_msualg_1(D) &  (v1_circcomb(D) &  (v2_circcomb(D) &  (v3_circcomb(D) & l1_msualg_1(D)) ) ) ) ) )  =>  (D=k5_gfacirc2(A, B, C) <=>  (? [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v1_funct_1(E) & v1_partfun1(E, k4_ordinal1)) ) )  &  (? [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, k4_ordinal1) &  (v1_funct_1(F) & v1_partfun1(F, k4_ordinal1)) ) )  &  (D=k1_funct_1(E, A) &  (k1_funct_1(E, k5_numbers)=k5_circcomb(k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1), k1_xboole_0) &  (k1_funct_1(F, k5_numbers)=k4_tarski(k1_xboole_0, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1)) &  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  ( ( ~ (v2_struct_0(H))  & l1_msualg_1(H))  =>  (! [I] :  ( (H=k1_funct_1(E, G) & I=k1_funct_1(F, G))  =>  (k1_funct_1(E, k1_nat_1(G, 1))=k2_circcomb(H, k25_gfacirc1(k1_funct_1(B, k1_nat_1(G, 1)), k1_funct_1(C, k1_nat_1(G, 1)), I)) & k1_funct_1(F, k1_nat_1(G, 1))=k21_gfacirc1(k1_funct_1(B, k1_nat_1(G, 1)), k1_funct_1(C, k1_nat_1(G, 1)), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_gfacirc2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v3_msualg_1(D, k5_gfacirc2(A, B, C)) &  (v4_msafree2(D, k5_gfacirc2(A, B, C)) &  (v4_circcomb(D, k5_gfacirc2(A, B, C)) &  (v6_circcomb(D, k5_gfacirc2(A, B, C)) & l3_msualg_1(D, k5_gfacirc2(A, B, C))) ) ) )  =>  (D=k6_gfacirc2(A, B, C) <=>  (? [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v1_funct_1(E) & v1_partfun1(E, k4_ordinal1)) ) )  &  (? [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, k4_ordinal1) &  (v1_funct_1(F) & v1_partfun1(F, k4_ordinal1)) ) )  &  (? [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, k4_ordinal1) &  (v1_funct_1(G) & v1_partfun1(G, k4_ordinal1)) ) )  &  (k5_gfacirc2(A, B, C)=k1_funct_1(E, A) &  (D=k1_funct_1(F, A) &  (k1_funct_1(E, k5_numbers)=k5_circcomb(k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1), k1_xboole_0) &  (k1_funct_1(F, k5_numbers)=k7_circcomb(k5_ordinal1, k5_margrel1, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1), k1_xboole_0) &  (k1_funct_1(G, k5_numbers)=k4_tarski(k1_xboole_0, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1)) &  (! [H] :  (v7_ordinal1(H) =>  (! [I] :  ( ( ~ (v2_struct_0(I))  & l1_msualg_1(I))  =>  (! [J] :  ( (v4_msualg_1(J, I) & l3_msualg_1(J, I))  =>  (! [K] :  ( (I=k1_funct_1(E, H) &  (J=k1_funct_1(F, H) & K=k1_funct_1(G, H)) )  =>  (k1_funct_1(E, k1_nat_1(H, 1))=k2_circcomb(I, k25_gfacirc1(k1_funct_1(B, k1_nat_1(H, 1)), k1_funct_1(C, k1_nat_1(H, 1)), K)) &  (k1_funct_1(F, k1_nat_1(H, 1))=k3_circcomb(I, k25_gfacirc1(k1_funct_1(B, k1_nat_1(H, 1)), k1_funct_1(C, k1_nat_1(H, 1)), K), J, k26_gfacirc1(k1_funct_1(B, k1_nat_1(H, 1)), k1_funct_1(C, k1_nat_1(H, 1)), K)) & k1_funct_1(G, k1_nat_1(H, 1))=k21_gfacirc1(k1_funct_1(B, k1_nat_1(H, 1)), k1_funct_1(C, k1_nat_1(H, 1)), K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_gfacirc2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  (m2_subset_1(D, u1_struct_0(k5_gfacirc2(A, B, C)), k3_msafree2(k5_gfacirc2(A, B, C))) =>  (D=k7_gfacirc2(A, B, C) <=>  (? [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v1_funct_1(E) & v1_partfun1(E, k4_ordinal1)) ) )  &  (D=k1_funct_1(E, A) &  (k1_funct_1(E, k5_numbers)=k4_tarski(k1_xboole_0, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1)) &  (! [F] :  (v7_ordinal1(F) => k1_funct_1(E, k1_nat_1(F, 1))=k21_gfacirc1(k1_funct_1(B, k1_nat_1(F, 1)), k1_funct_1(C, k1_nat_1(F, 1)), k1_funct_1(E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_gfacirc2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v1_funct_1(D) & v1_partfun1(D, k4_ordinal1)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v1_funct_1(E) & v1_partfun1(E, k4_ordinal1)) ) )  =>  ( (k1_funct_1(C, k5_numbers)=k5_circcomb(k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1), k1_xboole_0) &  (k1_funct_1(D, k5_numbers)=k7_circcomb(k5_ordinal1, k5_margrel1, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1), k1_xboole_0) &  (k1_funct_1(E, k5_numbers)=k4_tarski(k1_xboole_0, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1)) &  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_msualg_1(G))  =>  (! [H] :  ( (v4_msualg_1(H, G) & l3_msualg_1(H, G))  =>  (! [I] :  ( (G=k1_funct_1(C, F) &  (H=k1_funct_1(D, F) & I=k1_funct_1(E, F)) )  =>  (k1_funct_1(C, k1_nat_1(F, 1))=k2_circcomb(G, k25_gfacirc1(k1_funct_1(A, k1_nat_1(F, 1)), k1_funct_1(B, k1_nat_1(F, 1)), I)) &  (k1_funct_1(D, k1_nat_1(F, 1))=k3_circcomb(G, k25_gfacirc1(k1_funct_1(A, k1_nat_1(F, 1)), k1_funct_1(B, k1_nat_1(F, 1)), I), H, k26_gfacirc1(k1_funct_1(A, k1_nat_1(F, 1)), k1_funct_1(B, k1_nat_1(F, 1)), I)) & k1_funct_1(E, k1_nat_1(F, 1))=k21_gfacirc1(k1_funct_1(A, k1_nat_1(F, 1)), k1_funct_1(B, k1_nat_1(F, 1)), I)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [F] :  (v7_ordinal1(F) =>  (k5_gfacirc2(F, A, B)=k1_funct_1(C, F) &  (k6_gfacirc2(F, A, B)=k1_funct_1(D, F) & k7_gfacirc2(F, A, B)=k1_funct_1(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_gfacirc2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (k5_gfacirc2(k5_numbers, A, B)=k5_circcomb(k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1), k1_xboole_0) &  (k6_gfacirc2(k5_numbers, A, B)=k7_circcomb(k5_ordinal1, k5_margrel1, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1), k1_xboole_0) & k7_gfacirc2(k5_numbers, A, B)=k4_tarski(k1_xboole_0, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1))) ) ) ) ) ) ).
fof(t17_gfacirc2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (C=k4_tarski(k1_xboole_0, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1)) =>  (k5_gfacirc2(1, A, B)=k2_circcomb(k5_circcomb(k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1), k1_xboole_0), k25_gfacirc1(k1_funct_1(A, 1), k1_funct_1(B, 1), C)) &  (k6_gfacirc2(1, A, B)=k3_circcomb(k5_circcomb(k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1), k1_xboole_0), k25_gfacirc1(k1_funct_1(A, 1), k1_funct_1(B, 1), C), k7_circcomb(k5_ordinal1, k5_margrel1, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1), k1_xboole_0), k26_gfacirc1(k1_funct_1(A, 1), k1_funct_1(B, 1), C)) & k7_gfacirc2(1, A, B)=k21_gfacirc1(k1_funct_1(A, 1), k1_funct_1(B, 1), C)) ) ) ) ) ) ) ) ).
fof(t18_gfacirc2, axiom,  (! [A] :  (! [B] :  (! [C] :  (C=k4_tarski(k1_xboole_0, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1)) =>  (k5_gfacirc2(1, k9_finseq_1(A), k9_finseq_1(B))=k2_circcomb(k5_circcomb(k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1), k1_xboole_0), k25_gfacirc1(A, B, C)) &  (k6_gfacirc2(1, k9_finseq_1(A), k9_finseq_1(B))=k3_circcomb(k5_circcomb(k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1), k1_xboole_0), k25_gfacirc1(A, B, C), k7_circcomb(k5_ordinal1, k5_margrel1, k8_funcop_1(k5_margrel1, k4_finseq_2(k5_numbers, k5_margrel1), k7_margrel1), k1_xboole_0), k26_gfacirc1(A, B, C)) & k7_gfacirc2(1, k9_finseq_1(A), k9_finseq_1(B))=k21_gfacirc1(A, B, C)) ) ) ) ) ) ).
fof(t19_gfacirc2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) )  =>  (! [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) & v1_finseq_1(G)) )  =>  (k5_gfacirc2(A, k7_finseq_1(B, D), k7_finseq_1(C, F))=k5_gfacirc2(A, k7_finseq_1(B, E), k7_finseq_1(C, G)) &  (k6_gfacirc2(A, k7_finseq_1(B, D), k7_finseq_1(C, F))=k6_gfacirc2(A, k7_finseq_1(B, E), k7_finseq_1(C, G)) & k7_gfacirc2(A, k7_finseq_1(B, D), k7_finseq_1(C, F))=k7_gfacirc2(A, k7_finseq_1(B, E), k7_finseq_1(C, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_gfacirc2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) )  =>  (! [D] :  (! [E] :  (k5_gfacirc2(k1_nat_1(A, 1), k7_finseq_1(B, k9_finseq_1(D)), k7_finseq_1(C, k9_finseq_1(E)))=k2_circcomb(k5_gfacirc2(A, B, C), k25_gfacirc1(D, E, k7_gfacirc2(A, B, C))) &  (k6_gfacirc2(k1_nat_1(A, 1), k7_finseq_1(B, k9_finseq_1(D)), k7_finseq_1(C, k9_finseq_1(E)))=k3_circcomb(k5_gfacirc2(A, B, C), k25_gfacirc1(D, E, k7_gfacirc2(A, B, C)), k6_gfacirc2(A, B, C), k26_gfacirc1(D, E, k7_gfacirc2(A, B, C))) & k7_gfacirc2(k1_nat_1(A, 1), k7_finseq_1(B, k9_finseq_1(D)), k7_finseq_1(C, k9_finseq_1(E)))=k21_gfacirc1(D, E, k7_gfacirc2(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t21_gfacirc2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (k5_gfacirc2(k1_nat_1(A, 1), B, C)=k2_circcomb(k5_gfacirc2(A, B, C), k25_gfacirc1(k1_funct_1(B, k1_nat_1(A, 1)), k1_funct_1(C, k1_nat_1(A, 1)), k7_gfacirc2(A, B, C))) &  (k6_gfacirc2(k1_nat_1(A, 1), B, C)=k3_circcomb(k5_gfacirc2(A, B, C), k25_gfacirc1(k1_funct_1(B, k1_nat_1(A, 1)), k1_funct_1(C, k1_nat_1(A, 1)), k7_gfacirc2(A, B, C)), k6_gfacirc2(A, B, C), k26_gfacirc1(k1_funct_1(B, k1_nat_1(A, 1)), k1_funct_1(C, k1_nat_1(A, 1)), k7_gfacirc2(A, B, C))) & k7_gfacirc2(k1_nat_1(A, 1), B, C)=k21_gfacirc1(k1_funct_1(B, k1_nat_1(A, 1)), k1_funct_1(C, k1_nat_1(A, 1)), k7_gfacirc2(A, B, C))) ) ) ) ) ) ) ) ).
fof(t22_gfacirc2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(A, B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  => r1_tarski(k3_msafree2(k5_gfacirc2(A, C, D)), k3_msafree2(k5_gfacirc2(B, C, D)))) ) ) ) ) ) ) ) ) ).
fof(t23_gfacirc2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  => k3_msafree2(k5_gfacirc2(k1_nat_1(A, 1), B, C))=k2_xboole_0(k3_msafree2(k5_gfacirc2(A, B, C)), k3_msafree2(k25_gfacirc1(k1_funct_1(B, k1_nat_1(A, 1)), k1_funct_1(C, k1_nat_1(A, 1)), k7_gfacirc2(A, B, C))))) ) ) ) ) ) ).
fof(d8_gfacirc2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (! [E] :  (m2_subset_1(E, u1_struct_0(k5_gfacirc2(B, C, D)), k3_msafree2(k5_gfacirc2(B, C, D))) =>  (E=k8_gfacirc2(A, B, C, D) <=>  (? [F] :  (v7_ordinal1(F) &  (A=k1_nat_1(F, 1) & E=k24_gfacirc1(k1_funct_1(C, A), k1_funct_1(D, A), k7_gfacirc2(F, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_gfacirc2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(A, B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  => k8_gfacirc2(k1_nat_1(B, 1), A, C, D)=k24_gfacirc1(k1_funct_1(C, k1_nat_1(B, 1)), k1_funct_1(D, k1_nat_1(B, 1)), k7_gfacirc2(B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t25_gfacirc2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  => v1_relat_1(k3_msafree2(k5_gfacirc2(A, B, C)))) ) ) ) ) ) ).
fof(t26_gfacirc2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_facirc_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v2_facirc_1(B)) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (k2_msafree2(k5_gfacirc2(k1_nat_1(C, 1), A, B))=k2_xboole_0(k2_msafree2(k5_gfacirc2(C, A, B)), k7_subset_1(u1_struct_0(k25_gfacirc1(k1_funct_1(A, k1_nat_1(C, 1)), k1_funct_1(B, k1_nat_1(C, 1)), k7_gfacirc2(C, A, B))), k2_msafree2(k25_gfacirc1(k1_funct_1(A, k1_nat_1(C, 1)), k1_funct_1(B, k1_nat_1(C, 1)), k7_gfacirc2(C, A, B))), k1_tarski(k7_gfacirc2(C, A, B)))) &  (v1_relat_1(k3_msafree2(k5_gfacirc2(C, A, B))) &  ~ (v1_facirc_1(k2_msafree2(k5_gfacirc2(C, A, B)))) ) ) ) ) ) ) ) ) ).
fof(t27_gfacirc2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) &  (v1_finseq_1(B) & v2_facirc_1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) &  (v1_finseq_1(C) & v2_facirc_1(C)) ) ) )  => k2_msafree2(k5_gfacirc2(A, B, C))=k2_xboole_0(k10_xtuple_0(B), k10_xtuple_0(C))) ) ) ) ) ) ).
fof(t28_gfacirc2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) &  (v1_finseq_1(B) & v2_facirc_1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) &  (v1_finseq_1(C) & v2_facirc_1(C)) ) ) )  =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(k5_gfacirc2(A, B, C), k6_gfacirc2(A, B, C)))) => v1_circuit2(k5_facirc_1(k5_gfacirc2(A, B, C), k6_gfacirc2(A, B, C), D, k2_xcmplx_0(1, k3_xcmplx_0(2, A))), k5_gfacirc2(A, B, C), k6_gfacirc2(A, B, C))) ) ) ) ) ) ) ) ).
fof(dt_k1_gfacirc2, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) )  =>  ( ~ (v2_struct_0(k1_gfacirc2(A, B, C)))  &  ( ~ (v11_struct_0(k1_gfacirc2(A, B, C)))  &  (v1_msualg_1(k1_gfacirc2(A, B, C)) &  (v1_circcomb(k1_gfacirc2(A, B, C)) &  (v2_circcomb(k1_gfacirc2(A, B, C)) &  (v3_circcomb(k1_gfacirc2(A, B, C)) & l1_msualg_1(k1_gfacirc2(A, B, C))) ) ) ) ) ) ) ) ).
fof(dt_k2_gfacirc2, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) )  =>  (v3_msualg_1(k2_gfacirc2(A, B, C), k1_gfacirc2(A, B, C)) &  (v4_msafree2(k2_gfacirc2(A, B, C), k1_gfacirc2(A, B, C)) &  (v4_circcomb(k2_gfacirc2(A, B, C), k1_gfacirc2(A, B, C)) &  (v6_circcomb(k2_gfacirc2(A, B, C), k1_gfacirc2(A, B, C)) & l3_msualg_1(k2_gfacirc2(A, B, C), k1_gfacirc2(A, B, C))) ) ) ) ) ) ).
fof(dt_k3_gfacirc2, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) )  => m2_subset_1(k3_gfacirc2(A, B, C), u1_struct_0(k1_gfacirc2(A, B, C)), k3_msafree2(k1_gfacirc2(A, B, C)))) ) ).
fof(dt_k4_gfacirc2, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  &  (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) ) ) ) )  => m2_subset_1(k4_gfacirc2(A, B, C, D), u1_struct_0(k1_gfacirc2(B, C, D)), k3_msafree2(k1_gfacirc2(B, C, D)))) ) ).
fof(dt_k5_gfacirc2, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) )  =>  ( ~ (v2_struct_0(k5_gfacirc2(A, B, C)))  &  ( ~ (v11_struct_0(k5_gfacirc2(A, B, C)))  &  (v1_msualg_1(k5_gfacirc2(A, B, C)) &  (v1_circcomb(k5_gfacirc2(A, B, C)) &  (v2_circcomb(k5_gfacirc2(A, B, C)) &  (v3_circcomb(k5_gfacirc2(A, B, C)) & l1_msualg_1(k5_gfacirc2(A, B, C))) ) ) ) ) ) ) ) ).
fof(dt_k6_gfacirc2, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) )  =>  (v3_msualg_1(k6_gfacirc2(A, B, C), k5_gfacirc2(A, B, C)) &  (v4_msafree2(k6_gfacirc2(A, B, C), k5_gfacirc2(A, B, C)) &  (v4_circcomb(k6_gfacirc2(A, B, C), k5_gfacirc2(A, B, C)) &  (v6_circcomb(k6_gfacirc2(A, B, C), k5_gfacirc2(A, B, C)) & l3_msualg_1(k6_gfacirc2(A, B, C), k5_gfacirc2(A, B, C))) ) ) ) ) ) ).
fof(dt_k7_gfacirc2, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) )  => m2_subset_1(k7_gfacirc2(A, B, C), u1_struct_0(k5_gfacirc2(A, B, C)), k3_msafree2(k5_gfacirc2(A, B, C)))) ) ).
fof(dt_k8_gfacirc2, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  &  (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) ) ) ) )  => m2_subset_1(k8_gfacirc2(A, B, C, D), u1_struct_0(k5_gfacirc2(B, C, D)), k3_msafree2(k5_gfacirc2(B, C, D)))) ) ).
fof(rc1_glib_000, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) ) ).
fof(rc2_glib_000, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) ) ) ).
fof(fc1_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  ~ (v1_xboole_0(k6_glib_000(A))) ) ) ).
fof(fc2_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (v1_relat_1(k5_relat_1(A, k5_glib_000)) & v1_glib_000(k5_relat_1(A, k5_glib_000))) ) ) ).
fof(cc1_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v5_glib_000(A)) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v6_glib_000(A)) ) ) ) ) ) ) ).
fof(cc2_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v7_glib_000(A)) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v3_glib_000(A) & v5_glib_000(A)) ) ) ) ) ) ) ) ).
fof(cc3_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v3_glib_000(A) & v5_glib_000(A)) ) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v7_glib_000(A)) ) ) ) ) ) ) ).
fof(cc4_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v3_glib_000(A) & v6_glib_000(A)) ) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v8_glib_000(A)) ) ) ) ) ) ) ).
fof(cc5_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v8_glib_000(A)) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v3_glib_000(A) & v6_glib_000(A)) ) ) ) ) ) ) ) ).
fof(cc6_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v3_glib_000(A) & v4_glib_000(A)) ) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) ) ) ) ).
fof(cc7_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v4_glib_000(A) & v6_glib_000(A)) ) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) ) ) ) ).
fof(rc3_glib_000, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v4_glib_000(A) & v7_glib_000(A)) ) ) ) ) ) ) ).
fof(rc4_glib_000, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  ( ~ (v4_glib_000(A))  & v7_glib_000(A)) ) ) ) ) ) ) ) ).
fof(fc3_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  => v1_finset_1(k6_glib_000(A))) ) ).
fof(fc4_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  => v1_finset_1(k7_glib_000(A))) ) ).
fof(fc5_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v4_glib_000(A)) ) ) ) )  => v1_finset_1(k6_glib_000(A))) ) ).
fof(fc6_glib_000, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  (v1_finset_1(B) &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) ) )  =>  (v1_relat_1(k12_glib_000(A, B, C, D)) &  (v4_relat_1(k12_glib_000(A, B, C, D), k4_ordinal1) &  (v1_funct_1(k12_glib_000(A, B, C, D)) &  (v1_finset_1(k12_glib_000(A, B, C, D)) &  (v1_glib_000(k12_glib_000(A, B, C, D)) & v2_glib_000(k12_glib_000(A, B, C, D))) ) ) ) ) ) ) ).
fof(fc7_glib_000, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (v1_xboole_0(B) &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) ) )  =>  (v1_relat_1(k12_glib_000(A, B, C, D)) &  (v4_relat_1(k12_glib_000(A, B, C, D), k4_ordinal1) &  (v1_funct_1(k12_glib_000(A, B, C, D)) &  (v1_finset_1(k12_glib_000(A, B, C, D)) &  (v1_glib_000(k12_glib_000(A, B, C, D)) & v7_glib_000(k12_glib_000(A, B, C, D))) ) ) ) ) ) ) ).
fof(fc8_glib_000, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_tarski(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_tarski(A))))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, B, k1_tarski(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_tarski(A))))) ) )  =>  (v1_relat_1(k12_glib_000(k1_tarski(A), B, C, D)) &  (v4_relat_1(k12_glib_000(k1_tarski(A), B, C, D), k4_ordinal1) &  (v1_funct_1(k12_glib_000(k1_tarski(A), B, C, D)) &  (v1_finset_1(k12_glib_000(k1_tarski(A), B, C, D)) &  (v1_glib_000(k12_glib_000(k1_tarski(A), B, C, D)) & v4_glib_000(k12_glib_000(k1_tarski(A), B, C, D))) ) ) ) ) ) ) ).
fof(rc5_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (? [B] :  (m1_glib_000(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) &  (v4_glib_000(B) & v7_glib_000(B)) ) ) ) ) ) ) ) ) ) ).
fof(cc8_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) => v2_glib_000(B)) ) ) ) ).
fof(cc9_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) => v3_glib_000(B)) ) ) ) ).
fof(cc10_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v4_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) => v4_glib_000(B)) ) ) ) ).
fof(cc11_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v5_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) => v5_glib_000(B)) ) ) ) ).
fof(rc6_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (? [B] :  (m1_glib_000(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) & v9_glib_000(B, A)) ) ) ) ) ) ) ) ) ).
fof(cc12_glib_000, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k6_glib_000(A)))) )  &  (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(k21_glib_000(A, B)))) ) )  =>  (! [D] :  (m2_glib_000(D, A, B, C) => v2_glib_000(D)) ) ) ) ).
fof(cc13_glib_000, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (m1_subset_1(B, k6_glib_000(A)) & m1_subset_1(C, k1_zfmisc_1(k21_glib_000(A, k6_domain_1(k6_glib_000(A), B))))) )  =>  (! [D] :  (m2_glib_000(D, A, k6_domain_1(k6_glib_000(A), B), C) => v4_glib_000(D)) ) ) ) ).
fof(cc14_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m1_subset_1(B, k6_glib_000(A)))  =>  (! [C] :  (m2_glib_000(C, A, k6_domain_1(k6_glib_000(A), B), k1_xboole_0) =>  (v2_glib_000(C) & v4_glib_000(C)) ) ) ) ) ).
fof(cc15_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k6_glib_000(A)))) )  =>  (! [C] :  (m2_glib_000(C, A, B, k1_xboole_0) => v7_glib_000(C)) ) ) ) ).
fof(cc16_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m1_subset_1(B, k1_zfmisc_1(k7_glib_000(A))))  =>  (! [C] :  (m2_glib_000(C, A, k6_glib_000(A), B) => v9_glib_000(C, A)) ) ) ) ).
fof(cc17_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m2_glib_000(B, A, k6_glib_000(A), k1_xboole_0) => v9_glib_000(B, A)) ) ) ) ).
fof(cc18_glib_000, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [C] :  (m2_glib_000(C, A, k6_glib_000(A), k6_subset_1(k7_glib_000(A), k1_tarski(B))) => v9_glib_000(C, A)) ) ) ) ).
fof(cc19_glib_000, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [C] :  (m2_glib_000(C, A, k6_glib_000(A), k6_subset_1(k7_glib_000(A), B)) => v9_glib_000(C, A)) ) ) ) ).
fof(fc9_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  => v12_glib_000(k2_funcop_1(k4_ordinal1, A))) ) ).
fof(rc7_glib_000, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) & v12_glib_000(A)) ) ) ) ) ).
fof(cc20_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) & v12_glib_000(A)) ) ) )  =>  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) & v12_glib_000(A)) ) ) ) ) ) ) ).
fof(rc8_glib_000, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v12_glib_000(A)) ) ) ) ).
fof(fc10_glib_000, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v12_glib_000(A)) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  =>  (v1_relat_1(k1_funct_1(A, B)) & v1_funct_1(k1_funct_1(A, B))) ) ) ).
fof(fc11_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) & v12_glib_000(A)) ) ) )  & v7_ordinal1(B))  =>  (v1_relat_1(k1_funct_1(A, B)) & v1_funct_1(k1_funct_1(A, B))) ) ) ).
fof(fc12_glib_000, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v12_glib_000(A)) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  =>  (v4_relat_1(k1_funct_1(A, B), k4_ordinal1) & v1_finset_1(k1_funct_1(A, B))) ) ) ).
fof(fc13_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) & v12_glib_000(A)) ) ) )  & v7_ordinal1(B))  =>  (v4_relat_1(k1_funct_1(A, B), k4_ordinal1) & v1_finset_1(k1_funct_1(A, B))) ) ) ).
fof(fc14_glib_000, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v12_glib_000(A)) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  => v1_glib_000(k1_funct_1(A, B))) ) ).
fof(fc15_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) & v12_glib_000(A)) ) ) )  & v7_ordinal1(B))  => v1_glib_000(k1_funct_1(A, B))) ) ).
fof(cc21_glib_000, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) &  (v1_funct_1(A) & v12_glib_000(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) &  (v14_glib_000(A) &  (v15_glib_000(A) &  (v16_glib_000(A) &  (v17_glib_000(A) &  (v18_glib_000(A) &  (v19_glib_000(A) &  (v20_glib_000(A) & v21_glib_000(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc9_glib_000, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v12_glib_000(A) &  (v13_glib_000(A) &  (v14_glib_000(A) &  (v15_glib_000(A) &  (v16_glib_000(A) &  (v18_glib_000(A) &  (v19_glib_000(A) &  (v20_glib_000(A) & v21_glib_000(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc10_glib_000, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v12_glib_000(A) &  (v13_glib_000(A) &  (v14_glib_000(A) &  (v15_glib_000(A) &  (v17_glib_000(A) &  (v18_glib_000(A) &  (v19_glib_000(A) &  (v20_glib_000(A) & v21_glib_000(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc16_glib_000, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v14_glib_000(A)) ) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  => v2_glib_000(k1_funct_1(A, B))) ) ).
fof(fc17_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v12_glib_000(A) & v14_glib_000(A)) ) ) ) )  & v7_ordinal1(B))  => v2_glib_000(k1_funct_1(A, B))) ) ).
fof(fc18_glib_000, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v15_glib_000(A)) ) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  => v3_glib_000(k1_funct_1(A, B))) ) ).
fof(fc19_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v12_glib_000(A) & v15_glib_000(A)) ) ) ) )  & v7_ordinal1(B))  =>  (v1_relat_1(k1_funct_1(A, B)) &  (v4_relat_1(k1_funct_1(A, B), k4_ordinal1) &  (v1_funct_1(k1_funct_1(A, B)) &  (v1_finset_1(k1_funct_1(A, B)) &  (v1_glib_000(k1_funct_1(A, B)) & v3_glib_000(k1_funct_1(A, B))) ) ) ) ) ) ) ).
fof(fc20_glib_000, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v16_glib_000(A)) ) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  => v4_glib_000(k1_funct_1(A, B))) ) ).
fof(fc21_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v12_glib_000(A) & v16_glib_000(A)) ) ) ) )  & v7_ordinal1(B))  =>  (v1_relat_1(k1_funct_1(A, B)) &  (v4_relat_1(k1_funct_1(A, B), k4_ordinal1) &  (v1_funct_1(k1_funct_1(A, B)) &  (v1_finset_1(k1_funct_1(A, B)) &  (v1_glib_000(k1_funct_1(A, B)) & v4_glib_000(k1_funct_1(A, B))) ) ) ) ) ) ) ).
fof(fc22_glib_000, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v17_glib_000(A)) ) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  =>  ~ (v4_glib_000(k1_funct_1(A, B))) ) ) ).
fof(fc23_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v12_glib_000(A) & v17_glib_000(A)) ) ) ) )  & v7_ordinal1(B))  =>  (v1_relat_1(k1_funct_1(A, B)) &  (v4_relat_1(k1_funct_1(A, B), k4_ordinal1) &  (v1_funct_1(k1_funct_1(A, B)) &  (v1_finset_1(k1_funct_1(A, B)) &  (v1_glib_000(k1_funct_1(A, B)) &  ~ (v4_glib_000(k1_funct_1(A, B))) ) ) ) ) ) ) ) ).
fof(fc24_glib_000, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v18_glib_000(A)) ) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  => v5_glib_000(k1_funct_1(A, B))) ) ).
fof(fc25_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v12_glib_000(A) & v18_glib_000(A)) ) ) ) )  & v7_ordinal1(B))  =>  (v1_relat_1(k1_funct_1(A, B)) &  (v4_relat_1(k1_funct_1(A, B), k4_ordinal1) &  (v1_funct_1(k1_funct_1(A, B)) &  (v1_finset_1(k1_funct_1(A, B)) &  (v1_glib_000(k1_funct_1(A, B)) & v5_glib_000(k1_funct_1(A, B))) ) ) ) ) ) ) ).
fof(fc26_glib_000, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v19_glib_000(A)) ) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  => v6_glib_000(k1_funct_1(A, B))) ) ).
fof(fc27_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v12_glib_000(A) & v19_glib_000(A)) ) ) ) )  & v7_ordinal1(B))  =>  (v1_relat_1(k1_funct_1(A, B)) &  (v4_relat_1(k1_funct_1(A, B), k4_ordinal1) &  (v1_funct_1(k1_funct_1(A, B)) &  (v1_finset_1(k1_funct_1(A, B)) &  (v1_glib_000(k1_funct_1(A, B)) & v6_glib_000(k1_funct_1(A, B))) ) ) ) ) ) ) ).
fof(fc28_glib_000, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v20_glib_000(A)) ) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  => v7_glib_000(k1_funct_1(A, B))) ) ).
fof(fc29_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v12_glib_000(A) & v20_glib_000(A)) ) ) ) )  & v7_ordinal1(B))  =>  (v1_relat_1(k1_funct_1(A, B)) &  (v4_relat_1(k1_funct_1(A, B), k4_ordinal1) &  (v1_funct_1(k1_funct_1(A, B)) &  (v1_finset_1(k1_funct_1(A, B)) &  (v1_glib_000(k1_funct_1(A, B)) & v7_glib_000(k1_funct_1(A, B))) ) ) ) ) ) ) ).
fof(fc30_glib_000, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v21_glib_000(A)) ) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  => v8_glib_000(k1_funct_1(A, B))) ) ).
fof(fc31_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v12_glib_000(A) & v21_glib_000(A)) ) ) ) )  & v7_ordinal1(B))  =>  (v1_relat_1(k1_funct_1(A, B)) &  (v4_relat_1(k1_funct_1(A, B), k4_ordinal1) &  (v1_funct_1(k1_funct_1(A, B)) &  (v1_finset_1(k1_funct_1(A, B)) &  (v1_glib_000(k1_funct_1(A, B)) & v8_glib_000(k1_funct_1(A, B))) ) ) ) ) ) ) ).
fof(cc22_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v18_glib_000(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v19_glib_000(A)) ) ) ) ) ).
fof(cc23_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v20_glib_000(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) &  (v15_glib_000(A) & v18_glib_000(A)) ) ) ) ) ) ).
fof(cc24_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) &  (v15_glib_000(A) & v18_glib_000(A)) ) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v20_glib_000(A)) ) ) ) ) ).
fof(cc25_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) &  (v15_glib_000(A) & v19_glib_000(A)) ) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v21_glib_000(A)) ) ) ) ) ).
fof(cc26_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v21_glib_000(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) &  (v15_glib_000(A) & v19_glib_000(A)) ) ) ) ) ) ).
fof(cc27_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) &  (v15_glib_000(A) & v16_glib_000(A)) ) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v14_glib_000(A)) ) ) ) ) ).
fof(cc28_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) &  (v16_glib_000(A) & v19_glib_000(A)) ) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v14_glib_000(A)) ) ) ) ) ).
fof(d1_glib_000, axiom, k1_glib_000=1).
fof(d2_glib_000, axiom, k2_glib_000=2).
fof(d3_glib_000, axiom, k3_glib_000=3).
fof(d4_glib_000, axiom, k4_glib_000=4).
fof(d5_glib_000, axiom, k5_glib_000=k9_domain_1(k4_ordinal1, k1_glib_000, k2_glib_000, k3_glib_000, k4_glib_000)).
fof(d6_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  => k6_glib_000(A)=k1_funct_1(A, k1_glib_000)) ) ).
fof(d7_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  => k7_glib_000(A)=k1_funct_1(A, k2_glib_000)) ) ).
fof(d8_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  => k8_glib_000(A)=k1_funct_1(A, k3_glib_000)) ) ).
fof(d9_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  => k9_glib_000(A)=k1_funct_1(A, k4_glib_000)) ) ).
fof(d10_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (v1_glib_000(A) <=>  (r2_tarski(k1_glib_000, k1_relset_1(k4_ordinal1, A)) &  (r2_tarski(k2_glib_000, k1_relset_1(k4_ordinal1, A)) &  (r2_tarski(k3_glib_000, k1_relset_1(k4_ordinal1, A)) &  (r2_tarski(k4_glib_000, k1_relset_1(k4_ordinal1, A)) &  ( ~ (v1_xboole_0(k6_glib_000(A)))  &  ( (v1_funct_1(k8_glib_000(A)) &  (v1_funct_2(k8_glib_000(A), k7_glib_000(A), k6_glib_000(A)) & m1_subset_1(k8_glib_000(A), k1_zfmisc_1(k2_zfmisc_1(k7_glib_000(A), k6_glib_000(A))))) )  &  (v1_funct_1(k9_glib_000(A)) &  (v1_funct_2(k9_glib_000(A), k7_glib_000(A), k6_glib_000(A)) & m1_subset_1(k9_glib_000(A), k1_zfmisc_1(k2_zfmisc_1(k7_glib_000(A), k6_glib_000(A))))) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_glib_000, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  => k12_glib_000(A, B, C, D)=k7_finseq_4(A, B, C, D)) ) ) ) ) ) ) ).
fof(d12_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] : k13_glib_000(A, B, C)=k1_funct_4(A, k17_funcop_1(B, C))) ) ) ) ) ).
fof(d13_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (! [D] :  (r1_glib_000(A, B, C, D) <=>  (r2_hidden(D, k7_glib_000(A)) &  ( (k1_funct_1(k10_glib_000(A), D)=B & k1_funct_1(k11_glib_000(A), D)=C)  |  (k1_funct_1(k10_glib_000(A), D)=C & k1_funct_1(k11_glib_000(A), D)=B) ) ) ) ) ) ) ) ) ).
fof(d14_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (! [D] :  (r2_glib_000(A, B, C, D) <=>  (r2_hidden(D, k7_glib_000(A)) &  (k1_funct_1(k10_glib_000(A), D)=B & k1_funct_1(k11_glib_000(A), D)=C) ) ) ) ) ) ) ) ).
fof(d15_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (! [D] :  (r3_glib_000(A, B, C, D) <=>  (r2_hidden(D, k7_glib_000(A)) &  ( (r2_tarski(k1_funct_1(k10_glib_000(A), D), B) & r2_tarski(k1_funct_1(k11_glib_000(A), D), C))  |  (r2_tarski(k1_funct_1(k10_glib_000(A), D), C) & r2_tarski(k1_funct_1(k11_glib_000(A), D), B)) ) ) ) ) ) ) ) ) ).
fof(d16_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (! [D] :  (r4_glib_000(A, B, C, D) <=>  (r2_hidden(D, k7_glib_000(A)) &  (r2_tarski(k1_funct_1(k10_glib_000(A), D), B) & r2_tarski(k1_funct_1(k11_glib_000(A), D), C)) ) ) ) ) ) ) ) ).
fof(d17_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (v2_glib_000(A) <=>  (v1_finset_1(k6_glib_000(A)) & v1_finset_1(k7_glib_000(A))) ) ) ) ).
fof(d18_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (v3_glib_000(A) <=>  (! [B] :  ~ ( (r2_hidden(B, k7_glib_000(A)) & k1_funct_1(k10_glib_000(A), B)=k1_funct_1(k11_glib_000(A), B)) ) ) ) ) ) ).
fof(d19_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (v4_glib_000(A) <=> k1_card_1(k6_glib_000(A))=1) ) ) ).
fof(d20_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (v5_glib_000(A) <=>  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (r1_glib_000(A, D, E, B) & r1_glib_000(A, D, E, C))  => B=C) ) ) ) ) ) ) ) ).
fof(d21_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (v6_glib_000(A) <=>  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (r2_glib_000(A, D, E, B) & r2_glib_000(A, D, E, C))  => B=C) ) ) ) ) ) ) ) ).
fof(d22_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (v7_glib_000(A) <=>  (v3_glib_000(A) & v5_glib_000(A)) ) ) ) ).
fof(d23_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (v8_glib_000(A) <=>  (v3_glib_000(A) & v6_glib_000(A)) ) ) ) ).
fof(d24_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  => k14_glib_000(A)=k1_card_1(k6_glib_000(A))) ) ).
fof(d25_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  => k16_glib_000(A)=k1_card_1(k7_glib_000(A))) ) ).
fof(d26_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k7_glib_000(A))) =>  (C=k18_glib_000(A, B) <=>  (! [D] :  (r2_tarski(D, C) <=>  (r2_tarski(D, k7_glib_000(A)) & r2_tarski(k1_funct_1(k11_glib_000(A), D), B)) ) ) ) ) ) ) ) ) ).
fof(d27_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k7_glib_000(A))) =>  (C=k19_glib_000(A, B) <=>  (! [D] :  (r2_tarski(D, C) <=>  (r2_tarski(D, k7_glib_000(A)) & r2_tarski(k1_funct_1(k10_glib_000(A), D), B)) ) ) ) ) ) ) ) ) ).
fof(d28_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] : k20_glib_000(A, B)=k4_subset_1(k7_glib_000(A), k18_glib_000(A, B), k19_glib_000(A, B))) ) ) ).
fof(d29_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] : k21_glib_000(A, B)=k9_subset_1(k7_glib_000(A), k18_glib_000(A, B), k19_glib_000(A, B))) ) ) ).
fof(d30_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k7_glib_000(A))) =>  (D=k22_glib_000(A, B, C) <=>  (! [E] :  (r2_hidden(E, D) <=> r3_glib_000(A, B, C, E)) ) ) ) ) ) ) ) ) ).
fof(d31_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k7_glib_000(A))) =>  (D=k23_glib_000(A, B, C) <=>  (! [E] :  (r2_hidden(E, D) <=> r4_glib_000(A, B, C, E)) ) ) ) ) ) ) ) ) ).
fof(d32_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (m1_glib_000(B, A) <=>  (r1_tarski(k6_glib_000(B), k6_glib_000(A)) &  (r1_tarski(k7_glib_000(B), k7_glib_000(A)) &  (! [C] :  (r2_tarski(C, k7_glib_000(B)) =>  (k1_funct_1(k10_glib_000(B), C)=k1_funct_1(k10_glib_000(A), C) & k1_funct_1(k11_glib_000(B), C)=k1_funct_1(k11_glib_000(A), C)) ) ) ) ) ) ) ) ) ) ).
fof(d33_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  (v9_glib_000(B, A) <=> k24_glib_000(A, B)=k6_glib_000(A)) ) ) ) ) ).
fof(d34_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (r5_glib_000(A, B) <=>  (k6_glib_000(A)=k6_glib_000(B) &  (k7_glib_000(A)=k7_glib_000(B) &  (r1_funct_2(k7_glib_000(A), k6_glib_000(A), k7_glib_000(B), k6_glib_000(B), k10_glib_000(A), k10_glib_000(B)) & r1_funct_2(k7_glib_000(A), k6_glib_000(A), k7_glib_000(B), k6_glib_000(B), k11_glib_000(A), k11_glib_000(B))) ) ) ) ) ) ) ) ).
fof(d35_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (r6_glib_000(A, B) <=> m1_glib_000(A, B)) ) ) ) ) ).
fof(d36_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (r7_glib_000(A, B) <=>  (r6_glib_000(A, B) &  ~ (r5_glib_000(A, B)) ) ) ) ) ) ) ).
fof(d37_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (! [D] :  (m1_glib_000(D, A) =>  ( ( ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k6_glib_000(A))))  & r1_tarski(C, k21_glib_000(A, B)))  =>  (m2_glib_000(D, A, B, C) <=>  (k24_glib_000(A, D)=B & k25_glib_000(A, D)=C) ) )  &  ( ~ ( ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k6_glib_000(A))))  & r1_tarski(C, k21_glib_000(A, B))) )  =>  (m2_glib_000(D, A, B, C) <=> r5_glib_000(D, A)) ) ) ) ) ) ) ) ) ).
fof(d38_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) => k26_glib_000(A, B)=k18_glib_000(A, k6_domain_1(k6_glib_000(A), B))) ) ) ) ).
fof(d39_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) => k27_glib_000(A, B)=k19_glib_000(A, k6_domain_1(k6_glib_000(A), B))) ) ) ) ).
fof(d40_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) => k28_glib_000(A, B)=k20_glib_000(A, k6_domain_1(k6_glib_000(A), B))) ) ) ) ).
fof(d41_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  ( ( (r2_hidden(C, k7_glib_000(A)) & k1_funct_1(k11_glib_000(A), C)=B)  => k29_glib_000(A, B, C)=k1_funct_1(k10_glib_000(A), C))  &  ( ( (r2_hidden(C, k7_glib_000(A)) & k1_funct_1(k10_glib_000(A), C)=B)  =>  (k1_funct_1(k11_glib_000(A), C)=B | k29_glib_000(A, B, C)=k1_funct_1(k11_glib_000(A), C)) )  &  ~ ( ( ~ ( (r2_hidden(C, k7_glib_000(A)) & k1_funct_1(k11_glib_000(A), C)=B) )  &  ( ~ ( (r2_hidden(C, k7_glib_000(A)) &  (k1_funct_1(k10_glib_000(A), C)=B &  ~ (k1_funct_1(k11_glib_000(A), C)=B) ) ) )  &  ~ (k29_glib_000(A, B, C)=B) ) ) ) ) ) ) ) ) ) ) ).
fof(d42_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) => k30_glib_000(A, B)=k1_card_1(k26_glib_000(A, B))) ) ) ) ).
fof(d43_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) => k31_glib_000(A, B)=k1_card_1(k27_glib_000(A, B))) ) ) ) ).
fof(d44_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) => k34_glib_000(A, B)=k1_card_2(k30_glib_000(A, B), k31_glib_000(A, B))) ) ) ) ).
fof(d45_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) => k35_glib_000(A, B)=k1_nat_1(k32_glib_000(A, B), k33_glib_000(A, B))) ) ) ) ).
fof(d46_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) => k36_glib_000(A, B)=k7_relset_1(k7_glib_000(A), k6_glib_000(A), k10_glib_000(A), k26_glib_000(A, B))) ) ) ) ).
fof(d47_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) => k37_glib_000(A, B)=k7_relset_1(k7_glib_000(A), k6_glib_000(A), k11_glib_000(A), k27_glib_000(A, B))) ) ) ) ).
fof(d48_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) => k38_glib_000(A, B)=k4_subset_1(k6_glib_000(A), k36_glib_000(A, B), k37_glib_000(A, B))) ) ) ) ).
fof(d49_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (v10_glib_000(B, A) <=> k28_glib_000(A, B)=k1_xboole_0) ) ) ) ) ).
fof(d50_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (v10_glib_000(B, A) <=> k35_glib_000(A, B)=k5_numbers) ) ) ) ) ).
fof(d51_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (v11_glib_000(B, A) <=>  (? [C] :  (k28_glib_000(A, B)=k1_tarski(C) &  ~ (r1_glib_000(A, B, B, C)) ) ) ) ) ) ) ) ).
fof(d52_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (v11_glib_000(B, A) <=> k35_glib_000(A, B)=1) ) ) ) ) ).
fof(d53_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v12_glib_000(A) <=>  (! [B] :  (r2_hidden(B, k9_xtuple_0(A)) =>  (v1_relat_1(k1_funct_1(A, B)) &  (v4_relat_1(k1_funct_1(A, B), k4_ordinal1) &  (v1_funct_1(k1_funct_1(A, B)) &  (v1_finset_1(k1_funct_1(A, B)) & v1_glib_000(k1_funct_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(d54_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) )  =>  (v12_glib_000(A) <=>  (! [B] :  (v7_ordinal1(B) =>  (v1_relat_1(k1_funct_1(A, B)) &  (v4_relat_1(k1_funct_1(A, B), k4_ordinal1) &  (v1_funct_1(k1_funct_1(A, B)) &  (v1_finset_1(k1_funct_1(A, B)) & v1_glib_000(k1_funct_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(d55_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) )  =>  (v13_glib_000(A) <=>  (? [B] :  (v7_ordinal1(B) & k1_funct_1(A, B)=k1_funct_1(A, k1_nat_1(B, 1))) ) ) ) ) ).
fof(d56_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ( (v13_glib_000(A) =>  (B=k39_glib_000(A) <=>  (k1_funct_1(A, B)=k1_funct_1(A, k1_nat_1(B, 1)) &  (! [C] :  (v7_ordinal1(C) =>  (k1_funct_1(A, C)=k1_funct_1(A, k1_nat_1(C, 1)) => r1_xxreal_0(B, C)) ) ) ) ) )  &  ( ~ (v13_glib_000(A))  =>  (B=k39_glib_000(A) <=> B=k5_numbers) ) ) ) ) ) ) ).
fof(d57_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) )  => k40_glib_000(A)=k1_funct_1(A, k39_glib_000(A))) ) ).
fof(d58_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v12_glib_000(A)) )  =>  (v14_glib_000(A) <=>  (! [B] :  ~ ( (r2_hidden(B, k9_xtuple_0(A)) &  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  (v1_finset_1(C) & v1_glib_000(C)) ) ) )  =>  ~ ( (k1_funct_1(A, B)=C & v2_glib_000(C)) ) ) ) ) ) ) ) ) ) ).
fof(d59_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v12_glib_000(A)) )  =>  (v15_glib_000(A) <=>  (! [B] :  ~ ( (r2_hidden(B, k9_xtuple_0(A)) &  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  (v1_finset_1(C) & v1_glib_000(C)) ) ) )  =>  ~ ( (k1_funct_1(A, B)=C & v3_glib_000(C)) ) ) ) ) ) ) ) ) ) ).
fof(d60_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v12_glib_000(A)) )  =>  (v16_glib_000(A) <=>  (! [B] :  ~ ( (r2_hidden(B, k9_xtuple_0(A)) &  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  (v1_finset_1(C) & v1_glib_000(C)) ) ) )  =>  ~ ( (k1_funct_1(A, B)=C & v4_glib_000(C)) ) ) ) ) ) ) ) ) ) ).
fof(d61_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v12_glib_000(A)) )  =>  (v17_glib_000(A) <=>  (! [B] :  ~ ( (r2_hidden(B, k9_xtuple_0(A)) &  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  (v1_finset_1(C) & v1_glib_000(C)) ) ) )  =>  ~ ( (k1_funct_1(A, B)=C &  ~ (v4_glib_000(C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d62_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v12_glib_000(A)) )  =>  (v18_glib_000(A) <=>  (! [B] :  ~ ( (r2_hidden(B, k9_xtuple_0(A)) &  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  (v1_finset_1(C) & v1_glib_000(C)) ) ) )  =>  ~ ( (k1_funct_1(A, B)=C & v5_glib_000(C)) ) ) ) ) ) ) ) ) ) ).
fof(d63_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v12_glib_000(A)) )  =>  (v19_glib_000(A) <=>  (! [B] :  ~ ( (r2_hidden(B, k9_xtuple_0(A)) &  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  (v1_finset_1(C) & v1_glib_000(C)) ) ) )  =>  ~ ( (k1_funct_1(A, B)=C & v6_glib_000(C)) ) ) ) ) ) ) ) ) ) ).
fof(d64_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v12_glib_000(A)) )  =>  (v20_glib_000(A) <=>  (! [B] :  ~ ( (r2_hidden(B, k9_xtuple_0(A)) &  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  (v1_finset_1(C) & v1_glib_000(C)) ) ) )  =>  ~ ( (k1_funct_1(A, B)=C & v7_glib_000(C)) ) ) ) ) ) ) ) ) ) ).
fof(d65_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v12_glib_000(A)) )  =>  (v21_glib_000(A) <=>  (! [B] :  ~ ( (r2_hidden(B, k9_xtuple_0(A)) &  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  (v1_finset_1(C) & v1_glib_000(C)) ) ) )  =>  ~ ( (k1_funct_1(A, B)=C & v8_glib_000(C)) ) ) ) ) ) ) ) ) ) ).
fof(d66_glib_000, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v12_glib_000(A)) ) )  =>  (v14_glib_000(A) <=>  (! [B] :  (m1_subset_1(B, k9_xtuple_0(A)) => v2_glib_000(k1_funct_1(A, B))) ) ) ) ) ).
fof(d67_glib_000, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v12_glib_000(A)) ) )  =>  (v15_glib_000(A) <=>  (! [B] :  (m1_subset_1(B, k9_xtuple_0(A)) => v3_glib_000(k1_funct_1(A, B))) ) ) ) ) ).
fof(d68_glib_000, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v12_glib_000(A)) ) )  =>  (v16_glib_000(A) <=>  (! [B] :  (m1_subset_1(B, k9_xtuple_0(A)) => v4_glib_000(k1_funct_1(A, B))) ) ) ) ) ).
fof(d69_glib_000, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v12_glib_000(A)) ) )  =>  (v17_glib_000(A) <=>  (! [B] :  (m1_subset_1(B, k9_xtuple_0(A)) =>  ~ (v4_glib_000(k1_funct_1(A, B))) ) ) ) ) ) ).
fof(d70_glib_000, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v12_glib_000(A)) ) )  =>  (v18_glib_000(A) <=>  (! [B] :  (m1_subset_1(B, k9_xtuple_0(A)) => v5_glib_000(k1_funct_1(A, B))) ) ) ) ) ).
fof(d71_glib_000, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v12_glib_000(A)) ) )  =>  (v19_glib_000(A) <=>  (! [B] :  (m1_subset_1(B, k9_xtuple_0(A)) => v6_glib_000(k1_funct_1(A, B))) ) ) ) ) ).
fof(d72_glib_000, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v12_glib_000(A)) ) )  =>  (v20_glib_000(A) <=>  (! [B] :  (m1_subset_1(B, k9_xtuple_0(A)) => v7_glib_000(k1_funct_1(A, B))) ) ) ) ) ).
fof(d73_glib_000, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v12_glib_000(A)) ) )  =>  (v21_glib_000(A) <=>  (! [B] :  (m1_subset_1(B, k9_xtuple_0(A)) => v8_glib_000(k1_funct_1(A, B))) ) ) ) ) ).
fof(d74_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) & v12_glib_000(A)) ) ) )  =>  (v14_glib_000(A) <=>  (! [B] :  (v7_ordinal1(B) => v2_glib_000(k1_funct_1(A, B))) ) ) ) ) ).
fof(d75_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) & v12_glib_000(A)) ) ) )  =>  (v15_glib_000(A) <=>  (! [B] :  (v7_ordinal1(B) => v3_glib_000(k1_funct_1(A, B))) ) ) ) ) ).
fof(d76_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) & v12_glib_000(A)) ) ) )  =>  (v16_glib_000(A) <=>  (! [B] :  (v7_ordinal1(B) => v4_glib_000(k1_funct_1(A, B))) ) ) ) ) ).
fof(d77_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) & v12_glib_000(A)) ) ) )  =>  (v17_glib_000(A) <=>  (! [B] :  (v7_ordinal1(B) =>  ~ (v4_glib_000(k1_funct_1(A, B))) ) ) ) ) ) ).
fof(d78_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) & v12_glib_000(A)) ) ) )  =>  (v18_glib_000(A) <=>  (! [B] :  (v7_ordinal1(B) => v5_glib_000(k1_funct_1(A, B))) ) ) ) ) ).
fof(d79_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) & v12_glib_000(A)) ) ) )  =>  (v19_glib_000(A) <=>  (! [B] :  (v7_ordinal1(B) => v6_glib_000(k1_funct_1(A, B))) ) ) ) ) ).
fof(d80_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) & v12_glib_000(A)) ) ) )  =>  (v20_glib_000(A) <=>  (! [B] :  (v7_ordinal1(B) => v7_glib_000(k1_funct_1(A, B))) ) ) ) ) ).
fof(d81_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) & v12_glib_000(A)) ) ) )  =>  (v21_glib_000(A) <=>  (! [B] :  (v7_ordinal1(B) => v8_glib_000(k1_funct_1(A, B))) ) ) ) ) ).
fof(d82_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) & v12_glib_000(A)) ) ) )  =>  (v13_glib_000(A) <=>  (? [B] :  (v7_ordinal1(B) & k1_funct_1(A, B)=k1_funct_1(A, k1_nat_1(B, 1))) ) ) ) ) ).
fof(t1_glib_000, axiom,  (k1_glib_000=1 &  (k2_glib_000=2 &  (k3_glib_000=3 & k4_glib_000=4) ) ) ).
fof(t2_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  => r1_tarski(k5_glib_000, k1_relset_1(k4_ordinal1, A))) ) ).
fof(t3_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (k6_glib_000(A)=k1_funct_1(A, k1_glib_000) &  (k7_glib_000(A)=k1_funct_1(A, k2_glib_000) &  (k8_glib_000(A)=k1_funct_1(A, k3_glib_000) & k9_glib_000(A)=k1_funct_1(A, k4_glib_000)) ) ) ) ) ).
fof(t4_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (k1_relset_1(k7_glib_000(A), k10_glib_000(A))=k7_glib_000(A) &  (k1_relset_1(k7_glib_000(A), k11_glib_000(A))=k7_glib_000(A) &  (r1_tarski(k2_relset_1(k6_glib_000(A), k10_glib_000(A)), k6_glib_000(A)) & r1_tarski(k2_relset_1(k6_glib_000(A), k11_glib_000(A)), k6_glib_000(A))) ) ) ) ) ).
fof(t5_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (v1_glib_000(A) <=>  (r1_tarski(k5_glib_000, k1_relset_1(k4_ordinal1, A)) &  ( ~ (v1_xboole_0(k6_glib_000(A)))  &  ( (v1_funct_1(k8_glib_000(A)) &  (v1_funct_2(k8_glib_000(A), k7_glib_000(A), k6_glib_000(A)) & m1_subset_1(k8_glib_000(A), k1_zfmisc_1(k2_zfmisc_1(k7_glib_000(A), k6_glib_000(A))))) )  &  (v1_funct_1(k9_glib_000(A)) &  (v1_funct_2(k9_glib_000(A), k7_glib_000(A), k6_glib_000(A)) & m1_subset_1(k9_glib_000(A), k1_zfmisc_1(k2_zfmisc_1(k7_glib_000(A), k6_glib_000(A))))) ) ) ) ) ) ) ) ).
fof(t6_glib_000, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (k6_glib_000(k12_glib_000(A, B, C, D))=A &  (k7_glib_000(k12_glib_000(A, B, C, D))=B &  (r1_funct_2(k7_glib_000(k12_glib_000(A, B, C, D)), k6_glib_000(k12_glib_000(A, B, C, D)), B, A, k10_glib_000(k12_glib_000(A, B, C, D)), C) & r1_funct_2(k7_glib_000(k12_glib_000(A, B, C, D)), k6_glib_000(k12_glib_000(A, B, C, D)), B, A, k11_glib_000(k12_glib_000(A, B, C, D)), D)) ) ) ) ) ) ) ) ) ) ).
fof(t7_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  (! [C] :  (v7_ordinal1(C) => k1_relset_1(k4_ordinal1, k13_glib_000(A, C, B))=k2_xboole_0(k1_relset_1(k4_ordinal1, A), k1_tarski(C))) ) ) ) ) ).
fof(t8_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  (! [C] :  (v7_ordinal1(C) => k1_funct_1(k13_glib_000(A, C, B), C)=B) ) ) ) ) ).
fof(t9_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( ~ (C=D)  => k1_funct_1(A, D)=k1_funct_1(k13_glib_000(A, C, B), D)) ) ) ) ) ) ) ) ).
fof(t10_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  ( ~ (r2_tarski(C, k5_glib_000))  =>  (k6_glib_000(A)=k6_glib_000(k13_glib_000(A, C, B)) &  (k7_glib_000(A)=k7_glib_000(k13_glib_000(A, C, B)) &  (k10_glib_000(A)=k8_glib_000(k13_glib_000(A, C, B)) &  (k11_glib_000(A)=k9_glib_000(k13_glib_000(A, C, B)) &  (v1_relat_1(k13_glib_000(A, C, B)) &  (v4_relat_1(k13_glib_000(A, C, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, C, B)) &  (v1_finset_1(k13_glib_000(A, C, B)) & v1_glib_000(k13_glib_000(A, C, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  (k6_glib_000(k13_glib_000(A, k1_glib_000, B))=B &  (k7_glib_000(k13_glib_000(A, k2_glib_000, B))=B &  (k8_glib_000(k13_glib_000(A, k3_glib_000, B))=B & k9_glib_000(k13_glib_000(A, k4_glib_000, B))=B) ) ) ) ) ) ).
fof(t12_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  (! [C] :  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( ~ (D=E)  =>  (r2_tarski(D, k1_relset_1(k4_ordinal1, k13_glib_000(k13_glib_000(A, D, B), E, C))) &  (r2_tarski(E, k1_relset_1(k4_ordinal1, k13_glib_000(k13_glib_000(A, D, B), E, C))) &  (k1_funct_1(k13_glib_000(k13_glib_000(A, D, B), E, C), D)=B & k1_funct_1(k13_glib_000(k13_glib_000(A, D, B), E, C), E)=C) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (! [D] :  (r1_glib_000(A, C, D, B) =>  (r2_hidden(C, k6_glib_000(A)) & r2_hidden(D, k6_glib_000(A))) ) ) ) ) ) ) ).
fof(t14_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (! [D] :  (r1_glib_000(A, C, D, B) => r1_glib_000(A, D, C, B)) ) ) ) ) ) ).
fof(t15_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ~ ( (r1_glib_000(A, C, E, B) &  (r1_glib_000(A, D, F, B) &  ( ~ ( (C=D & E=F) )  &  ~ ( (C=F & E=D) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (! [D] :  (r1_glib_000(A, C, D, B) <=>  (r2_glib_000(A, C, D, B) | r2_glib_000(A, D, C, B)) ) ) ) ) ) ) ).
fof(t17_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (r1_glib_000(A, E, F, D) =>  ( ( ~ ( (r2_hidden(E, B) & r2_hidden(F, C)) )  &  ~ ( (r2_hidden(E, C) & r2_hidden(F, B)) ) )  | r3_glib_000(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t18_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (v3_glib_000(A) <=>  (! [B] :  (! [C] :  ~ (r1_glib_000(A, B, B, C)) ) ) ) ) ) ).
fof(t19_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) & v3_glib_000(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) => k35_glib_000(A, B)=k4_card_1(k28_glib_000(A, B))) ) ) ) ).
fof(t20_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  ~ (v4_glib_000(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  ~ (v1_xboole_0(k6_subset_1(k6_glib_000(A), k6_domain_1(k6_glib_000(A), B)))) ) ) ) ) ).
fof(t21_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  ~ (v4_glib_000(A)) ) ) ) ) )  =>  ~ ( (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) => B=C) ) ) ) ) ) ) ).
fof(t22_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v4_glib_000(A)) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k6_glib_000(A)) & k6_glib_000(A)=k6_domain_1(k6_glib_000(A), B)) ) ) ) ).
fof(t23_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v3_glib_000(A) & v4_glib_000(A)) ) ) ) ) )  => k7_glib_000(A)=k1_xboole_0) ) ).
fof(t24_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (k7_glib_000(A)=k1_xboole_0 => v7_glib_000(A)) ) ) ).
fof(t25_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  => r1_xxreal_0(1, k15_glib_000(A))) ) ).
fof(t26_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (k15_glib_000(A)=1 <=> v4_glib_000(A)) ) ) ).
fof(t27_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (k15_glib_000(A)=1 <=>  (? [B] :  (m1_subset_1(B, k6_glib_000(A)) & k6_glib_000(A)=k6_domain_1(k6_glib_000(A), B)) ) ) ) ) ).
fof(t28_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  ( (r2_tarski(B, k7_glib_000(A)) &  (r2_tarski(k1_funct_1(k10_glib_000(A), B), C) | r2_tarski(k1_funct_1(k11_glib_000(A), B), C)) )  <=> r2_tarski(B, k20_glib_000(A, C))) ) ) ) ) ).
fof(t29_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (r1_tarski(k18_glib_000(A, B), k20_glib_000(A, B)) & r1_tarski(k19_glib_000(A, B), k20_glib_000(A, B))) ) ) ) ).
fof(t30_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  => k7_glib_000(A)=k20_glib_000(A, k6_glib_000(A))) ) ).
fof(t31_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  ( (r2_tarski(B, k7_glib_000(A)) &  (r2_tarski(k1_funct_1(k10_glib_000(A), B), C) & r2_tarski(k1_funct_1(k11_glib_000(A), B), C)) )  <=> r2_tarski(B, k21_glib_000(A, C))) ) ) ) ) ).
fof(t32_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (r2_hidden(D, B) &  (r2_hidden(E, B) & r1_glib_000(A, D, E, C)) )  => r2_hidden(C, k21_glib_000(A, B))) ) ) ) ) ) ) ).
fof(t33_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] : r1_tarski(k21_glib_000(A, B), k20_glib_000(A, B))) ) ) ).
fof(t34_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  => k7_glib_000(A)=k21_glib_000(A, k6_glib_000(A))) ) ).
fof(t35_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] : k6_subset_1(k7_glib_000(A), k20_glib_000(A, B))=k21_glib_000(A, k6_subset_1(k6_glib_000(A), B))) ) ) ).
fof(t36_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (r1_tarski(B, C) => r1_tarski(k21_glib_000(A, B), k21_glib_000(A, C))) ) ) ) ) ).
fof(t37_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (r1_tarski(B, C) & r1_tarski(D, E))  => r1_tarski(k22_glib_000(A, B, D), k22_glib_000(A, C, E))) ) ) ) ) ) ) ).
fof(t38_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (r1_tarski(B, C) & r1_tarski(D, E))  => r1_tarski(k23_glib_000(A, B, D), k23_glib_000(A, C, E))) ) ) ) ) ) ) ).
fof(t39_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (k26_glib_000(A, B)=k23_glib_000(A, k6_glib_000(A), k6_domain_1(k6_glib_000(A), B)) & k27_glib_000(A, B)=k23_glib_000(A, k6_domain_1(k6_glib_000(A), B), k6_glib_000(A))) ) ) ) ) ).
fof(t40_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  => m1_glib_000(A, A)) ) ).
fof(t41_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  ( ( (m1_glib_000(A, B) & m1_glib_000(B, A))  =>  (k6_glib_000(A)=k6_glib_000(B) &  (k7_glib_000(A)=k7_glib_000(B) &  (r1_funct_2(k7_glib_000(A), k6_glib_000(A), k7_glib_000(B), k6_glib_000(B), k10_glib_000(A), k10_glib_000(B)) & r1_funct_2(k7_glib_000(A), k6_glib_000(A), k7_glib_000(B), k6_glib_000(B), k11_glib_000(A), k11_glib_000(B))) ) ) )  &  ( (k6_glib_000(A)=k6_glib_000(B) &  (k7_glib_000(A)=k7_glib_000(B) &  (r1_funct_2(k7_glib_000(A), k6_glib_000(A), k7_glib_000(B), k6_glib_000(B), k10_glib_000(A), k10_glib_000(B)) & r1_funct_2(k7_glib_000(A), k6_glib_000(A), k7_glib_000(B), k6_glib_000(B), k11_glib_000(A), k11_glib_000(B))) ) )  =>  (m1_glib_000(A, B) & m1_glib_000(B, A)) ) ) ) ) ) ) ).
fof(t42_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  (! [C] :  ( (r2_tarski(C, k24_glib_000(A, B)) => r2_tarski(C, k6_glib_000(A)))  &  (r2_tarski(C, k25_glib_000(A, B)) => r2_tarski(C, k7_glib_000(A))) ) ) ) ) ) ) ).
fof(t43_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  (! [C] :  (m1_glib_000(C, B) => m1_glib_000(C, A)) ) ) ) ) ) ).
fof(t44_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  (! [C] :  (m1_glib_000(C, A) =>  ( (r1_tarski(k24_glib_000(A, B), k24_glib_000(A, C)) & r1_tarski(k25_glib_000(A, B), k25_glib_000(A, C)))  => m1_glib_000(B, C)) ) ) ) ) ) ) ).
fof(t45_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  (k10_glib_000(B)=k5_relset_1(k7_glib_000(A), k6_glib_000(A), k10_glib_000(A), k25_glib_000(A, B)) & k11_glib_000(B)=k5_relset_1(k7_glib_000(A), k6_glib_000(A), k11_glib_000(A), k25_glib_000(A, B))) ) ) ) ) ).
fof(t46_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (m2_glib_000(F, A, B, D) =>  (! [G] :  (m2_glib_000(G, A, C, E) =>  ( (r1_tarski(C, B) &  (r1_tarski(E, D) &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k6_glib_000(A))))  & r1_tarski(E, k21_glib_000(A, C))) ) )  => m1_glib_000(G, F)) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  ~ (v4_glib_000(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m2_glib_000(C, A, k6_subset_1(k6_glib_000(A), k1_tarski(B)), k21_glib_000(A, k6_subset_1(k6_glib_000(A), k1_tarski(B)))) =>  (k24_glib_000(A, C)=k6_subset_1(k6_glib_000(A), k6_domain_1(k6_glib_000(A), B)) & k25_glib_000(A, C)=k21_glib_000(A, k6_subset_1(k6_glib_000(A), k6_domain_1(k6_glib_000(A), B)))) ) ) ) ) ) ) ).
fof(t48_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  ~ (v4_glib_000(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m2_glib_000(C, A, k6_subset_1(k6_glib_000(A), k1_tarski(B)), k21_glib_000(A, k6_subset_1(k6_glib_000(A), k1_tarski(B)))) =>  (k1_nat_1(k15_glib_000(C), 1)=k15_glib_000(A) & k1_nat_1(k17_glib_000(C), k4_card_1(k28_glib_000(A, B)))=k17_glib_000(A)) ) ) ) ) ) ) ).
fof(t49_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (m2_glib_000(C, A, k6_subset_1(k6_glib_000(A), B), k21_glib_000(A, k6_subset_1(k6_glib_000(A), B))) =>  (r2_xboole_0(B, k6_glib_000(A)) =>  (k24_glib_000(A, C)=k6_subset_1(k6_glib_000(A), B) & k25_glib_000(A, C)=k21_glib_000(A, k6_subset_1(k6_glib_000(A), B))) ) ) ) ) ) ) ).
fof(t50_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k6_glib_000(A))) =>  (! [C] :  (m2_glib_000(C, A, k6_subset_1(k6_glib_000(A), B), k21_glib_000(A, k6_subset_1(k6_glib_000(A), B))) =>  ( ~ (B=k6_glib_000(A))  =>  (k1_nat_1(k15_glib_000(C), k4_card_1(B))=k15_glib_000(A) & k1_nat_1(k17_glib_000(C), k4_card_1(k20_glib_000(A, B)))=k17_glib_000(A)) ) ) ) ) ) ) ) ).
fof(t51_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (m2_glib_000(C, A, k6_glib_000(A), k6_subset_1(k7_glib_000(A), k1_tarski(B))) =>  (k24_glib_000(A, C)=k6_glib_000(A) & k25_glib_000(A, C)=k6_subset_1(k7_glib_000(A), k1_tarski(B))) ) ) ) ) ) ).
fof(t52_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (! [C] :  (m2_glib_000(C, A, k6_glib_000(A), k6_subset_1(k7_glib_000(A), k1_tarski(B))) =>  (k15_glib_000(A)=k15_glib_000(C) &  (r2_tarski(B, k7_glib_000(A)) => k1_nat_1(k17_glib_000(C), 1)=k17_glib_000(A)) ) ) ) ) ) ) ).
fof(t53_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (m2_glib_000(C, A, k6_glib_000(A), k6_subset_1(k7_glib_000(A), B)) =>  (k24_glib_000(A, C)=k6_glib_000(A) & k25_glib_000(A, C)=k6_subset_1(k7_glib_000(A), B)) ) ) ) ) ) ).
fof(t54_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (! [C] :  (m2_glib_000(C, A, k6_glib_000(A), k6_subset_1(k7_glib_000(A), B)) => k15_glib_000(A)=k15_glib_000(C)) ) ) ) ) ).
fof(t55_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k7_glib_000(A))) =>  (! [C] :  (m2_glib_000(C, A, k6_glib_000(A), k6_subset_1(k7_glib_000(A), B)) => k1_nat_1(k17_glib_000(C), k4_card_1(B))=k17_glib_000(A)) ) ) ) ) ) ).
fof(t56_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (r2_tarski(B, k26_glib_000(A, C)) <=>  (r2_tarski(B, k7_glib_000(A)) & k1_funct_1(k11_glib_000(A), B)=C) ) ) ) ) ) ) ).
fof(t57_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (r2_tarski(B, k26_glib_000(A, C)) <=>  (? [D] : r2_glib_000(A, D, C, B)) ) ) ) ) ) ) ).
fof(t58_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (r2_tarski(B, k27_glib_000(A, C)) <=>  (r2_tarski(B, k7_glib_000(A)) & k1_funct_1(k10_glib_000(A), B)=C) ) ) ) ) ) ) ).
fof(t59_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (r2_tarski(B, k27_glib_000(A, C)) <=>  (? [D] : r2_glib_000(A, C, D, B)) ) ) ) ) ) ) ).
fof(t60_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) => k28_glib_000(A, B)=k4_subset_1(k7_glib_000(A), k26_glib_000(A, B), k27_glib_000(A, B))) ) ) ) ).
fof(t61_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (r2_tarski(B, k28_glib_000(A, C)) <=>  (r2_tarski(B, k7_glib_000(A)) &  (k1_funct_1(k10_glib_000(A), B)=C | k1_funct_1(k11_glib_000(A), B)=C) ) ) ) ) ) ) ) ).
fof(t62_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (! [D] :  (r1_glib_000(A, B, D, C) => r2_hidden(C, k28_glib_000(A, B))) ) ) ) ) ) ) ).
fof(t63_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(A)) =>  ~ ( (r1_glib_000(A, C, D, B) &  ( ~ ( (r2_tarski(B, k26_glib_000(A, C)) & r2_tarski(B, k27_glib_000(A, D))) )  &  ~ ( (r2_tarski(B, k26_glib_000(A, D)) & r2_tarski(B, k27_glib_000(A, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (r2_tarski(B, k28_glib_000(A, C)) <=>  (? [D] :  (m1_subset_1(D, k6_glib_000(A)) & r1_glib_000(A, C, D, B)) ) ) ) ) ) ) ) ).
fof(t65_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (! [D] :  (! [E] :  ~ ( (r2_hidden(C, k28_glib_000(A, B)) &  (r1_glib_000(A, D, E, C) &  ( ~ (B=D)  &  ~ (B=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (r1_glib_000(A, B, C, D) =>  (k29_glib_000(A, B, D)=C & k29_glib_000(A, C, D)=B) ) ) ) ) ) ) ) ) ).
fof(t67_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (r2_tarski(B, k28_glib_000(A, C)) <=> r1_glib_000(A, C, k29_glib_000(A, C, B), B)) ) ) ) ) ) ).
fof(t68_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(A)) =>  (r1_glib_000(A, C, D, B) =>  (r1_xxreal_0(1, k35_glib_000(A, C)) & r1_xxreal_0(1, k35_glib_000(A, D))) ) ) ) ) ) ) ) ) ).
fof(t69_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (r2_tarski(B, k36_glib_000(A, C)) <=>  (? [D] : r2_glib_000(A, B, C, D)) ) ) ) ) ) ) ).
fof(t70_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (r2_tarski(B, k37_glib_000(A, C)) <=>  (? [D] : r2_glib_000(A, C, B, D)) ) ) ) ) ) ) ).
fof(t71_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (r2_tarski(B, k38_glib_000(A, C)) <=>  (? [D] : r1_glib_000(A, C, B, D)) ) ) ) ) ) ) ).
fof(t72_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  (! [C] :  (! [D] :  (! [E] :  ( (r1_glib_000(B, C, D, E) => r1_glib_000(A, C, D, E))  &  ( (r2_glib_000(B, C, D, E) => r2_glib_000(A, C, D, E))  &  ( (r3_glib_000(B, C, D, E) => r3_glib_000(A, C, D, E))  &  (r4_glib_000(B, C, D, E) => r4_glib_000(A, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t73_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  (! [C] :  (! [D] :  (! [E] :  (r2_tarski(E, k25_glib_000(A, B)) =>  ( (r1_glib_000(A, C, D, E) => r1_glib_000(B, C, D, E))  &  ( (r2_glib_000(A, C, D, E) => r2_glib_000(B, C, D, E))  &  ( (r3_glib_000(A, C, D, E) => r3_glib_000(B, C, D, E))  &  (r4_glib_000(A, C, D, E) => r4_glib_000(B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t74_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v9_glib_000(B, A) & m1_glib_000(B, A))  =>  (! [C] :  ( (v9_glib_000(C, B) & m1_glib_000(C, B))  =>  (v9_glib_000(C, A) & m1_glib_000(C, A)) ) ) ) ) ) ) ).
fof(t75_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  (r1_xxreal_0(k15_glib_000(B), k15_glib_000(A)) & r1_xxreal_0(k17_glib_000(B), k17_glib_000(A))) ) ) ) ) ).
fof(t76_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  (! [C] :  (r1_tarski(k18_glib_000(B, C), k18_glib_000(A, C)) &  (r1_tarski(k19_glib_000(B, C), k19_glib_000(A, C)) &  (r1_tarski(k20_glib_000(B, C), k20_glib_000(A, C)) & r1_tarski(k21_glib_000(B, C), k21_glib_000(A, C))) ) ) ) ) ) ) ) ).
fof(t77_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  (! [C] :  (! [D] :  (r1_tarski(k22_glib_000(B, C, D), k22_glib_000(A, C, D)) & r1_tarski(k23_glib_000(B, C, D), k23_glib_000(A, C, D))) ) ) ) ) ) ) ).
fof(t78_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(B)) =>  (C=D =>  (r1_tarski(k26_glib_000(B, D), k26_glib_000(A, C)) &  (r1_tarski(k27_glib_000(B, D), k27_glib_000(A, C)) & r1_tarski(k28_glib_000(B, D), k28_glib_000(A, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t79_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(B)) =>  (C=D =>  (k26_glib_000(B, D)=k9_subset_1(k7_glib_000(A), k26_glib_000(A, C), k25_glib_000(A, B)) &  (k27_glib_000(B, D)=k9_subset_1(k7_glib_000(A), k27_glib_000(A, C), k25_glib_000(A, B)) & k28_glib_000(B, D)=k9_subset_1(k7_glib_000(A), k28_glib_000(A, C), k25_glib_000(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t80_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(B)) =>  (! [E] :  ( (C=D & r2_tarski(E, k25_glib_000(A, B)))  => k29_glib_000(A, C, E)=k29_glib_000(B, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(t81_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(B)) =>  (C=D =>  (r1_xxreal_0(k32_glib_000(B, D), k32_glib_000(A, C)) &  (r1_xxreal_0(k33_glib_000(B, D), k33_glib_000(A, C)) & r1_xxreal_0(k35_glib_000(B, D), k35_glib_000(A, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t82_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(B)) =>  (C=D =>  (r1_tarski(k36_glib_000(B, D), k36_glib_000(A, C)) &  (r1_tarski(k37_glib_000(B, D), k37_glib_000(A, C)) & r1_tarski(k38_glib_000(B, D), k38_glib_000(A, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t83_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(B)) =>  ( (C=D & v10_glib_000(C, A))  => v10_glib_000(D, B)) ) ) ) ) ) ) ) ) ).
fof(t84_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(B)) =>  ~ ( (C=D &  (v11_glib_000(C, A) &  ( ~ (v11_glib_000(D, B))  &  ~ (v10_glib_000(D, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t85_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  (v1_finset_1(C) & v1_glib_000(C)) ) ) )  =>  ( (r5_glib_000(A, B) & r5_glib_000(B, C))  => r5_glib_000(A, C)) ) ) ) ) ) ) ).
fof(t86_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  (! [C] :  (m1_glib_000(C, A) =>  ( (k24_glib_000(A, B)=k24_glib_000(A, C) & k25_glib_000(A, B)=k25_glib_000(A, C))  => r5_glib_000(B, C)) ) ) ) ) ) ) ).
fof(t87_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (r5_glib_000(A, B) <=>  (m1_glib_000(A, B) & m1_glib_000(B, A)) ) ) ) ) ) ).
fof(t88_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (r5_glib_000(A, B) =>  ( (r1_glib_000(A, F, G, E) => r1_glib_000(B, F, G, E))  &  ( (r2_glib_000(A, F, G, E) => r2_glib_000(B, F, G, E))  &  ( (r3_glib_000(A, C, D, E) => r3_glib_000(B, C, D, E))  &  (r4_glib_000(A, C, D, E) => r4_glib_000(B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t89_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (r5_glib_000(A, B) =>  ( (v2_glib_000(A) => v2_glib_000(B))  &  ( (v3_glib_000(A) => v3_glib_000(B))  &  ( (v4_glib_000(A) => v4_glib_000(B))  &  ( (v5_glib_000(A) => v5_glib_000(B))  &  ( (v6_glib_000(A) => v6_glib_000(B))  &  ( (v7_glib_000(A) => v7_glib_000(B))  &  (v8_glib_000(A) => v8_glib_000(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t90_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (! [C] :  (! [D] :  (r5_glib_000(A, B) =>  (k14_glib_000(A)=k14_glib_000(B) &  (k16_glib_000(A)=k16_glib_000(B) &  (k18_glib_000(A, C)=k18_glib_000(B, C) &  (k19_glib_000(A, C)=k19_glib_000(B, C) &  (k20_glib_000(A, C)=k20_glib_000(B, C) &  (k21_glib_000(A, C)=k21_glib_000(B, C) & k23_glib_000(A, C, D)=k23_glib_000(B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t91_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  (v1_finset_1(C) & v1_glib_000(C)) ) ) )  =>  ( (r5_glib_000(A, B) & m1_glib_000(C, A))  => m1_glib_000(C, B)) ) ) ) ) ) ) ).
fof(t92_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  (v1_finset_1(C) & v1_glib_000(C)) ) ) )  =>  ( (r5_glib_000(A, B) & m1_glib_000(A, C))  => m1_glib_000(B, C)) ) ) ) ) ) ) ).
fof(t93_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (! [D] :  (m2_glib_000(D, A, C, B) =>  (! [E] :  (m2_glib_000(E, A, C, B) => r5_glib_000(D, E)) ) ) ) ) ) ) ) ).
fof(t94_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m2_glib_000(B, A, k6_glib_000(A), k21_glib_000(A, k6_glib_000(A))) => r5_glib_000(A, B)) ) ) ) ).
fof(t95_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (! [C] :  (! [D] :  (! [E] :  (m2_glib_000(E, A, C, D) =>  (r5_glib_000(A, B) => m2_glib_000(E, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t96_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (! [C] :  (! [D] :  (m1_subset_1(D, k6_glib_000(A)) =>  (! [E] :  (m1_subset_1(E, k6_glib_000(B)) =>  ( (D=E & r5_glib_000(A, B))  =>  (k26_glib_000(A, D)=k26_glib_000(B, E) &  (k27_glib_000(A, D)=k27_glib_000(B, E) &  (k28_glib_000(A, D)=k28_glib_000(B, E) &  (k29_glib_000(A, D, C)=k29_glib_000(B, E, C) &  (k30_glib_000(A, D)=k30_glib_000(B, E) &  (k31_glib_000(A, D)=k31_glib_000(B, E) &  (k34_glib_000(A, D)=k34_glib_000(B, E) &  (k36_glib_000(A, D)=k36_glib_000(B, E) &  (k37_glib_000(A, D)=k37_glib_000(B, E) & k38_glib_000(A, D)=k38_glib_000(B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t97_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(B)) =>  ( (C=D & r5_glib_000(A, B))  =>  ( (v10_glib_000(C, A) => v10_glib_000(D, B))  &  (v11_glib_000(C, A) => v11_glib_000(D, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t98_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  (! [C] :  (m1_glib_000(C, A) =>  ~ ( (r7_glib_000(B, C) &  ( ~ (r2_xboole_0(k24_glib_000(A, B), k24_glib_000(A, C)))  &  ~ (r2_xboole_0(k25_glib_000(A, B), k25_glib_000(A, C))) ) ) ) ) ) ) ) ) ) ).
fof(t99_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  (! [C] :  (m1_glib_000(C, A) =>  ~ ( (r7_glib_000(B, C) &  ( (! [D] :  ~ ( (r2_hidden(D, k24_glib_000(A, C)) &  ~ (r2_hidden(D, k24_glib_000(A, B))) ) ) )  &  (! [D] :  ~ ( (r2_hidden(D, k25_glib_000(A, C)) &  ~ (r2_hidden(D, k25_glib_000(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_glib_000, axiom,  ( ( (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (k15_glib_000(A)=1 => p1_s1_glib_000(A)) ) )  &  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ( (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) & v2_glib_000(B)) ) ) ) )  =>  (k15_glib_000(B)=A => p1_s1_glib_000(B)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) & v2_glib_000(B)) ) ) ) )  =>  (k15_glib_000(B)=k1_nat_1(A, 1) => p1_s1_glib_000(B)) ) ) ) ) ) )  =>  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  => p1_s1_glib_000(A)) ) ) ).
fof(s2_glib_000, axiom,  ( ( (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (k17_glib_000(A)=k5_numbers => p1_s2_glib_000(A)) ) )  &  (! [A] :  (v7_ordinal1(A) =>  ( (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) & v2_glib_000(B)) ) ) ) )  =>  (k17_glib_000(B)=A => p1_s2_glib_000(B)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) & v2_glib_000(B)) ) ) ) )  =>  (k17_glib_000(B)=k1_nat_1(A, 1) => p1_s2_glib_000(B)) ) ) ) ) ) )  =>  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  => p1_s2_glib_000(A)) ) ) ).
fof(dt_k1_glib_000, axiom, m1_subset_1(k1_glib_000, k4_ordinal1)).
fof(dt_k2_glib_000, axiom, m1_subset_1(k2_glib_000, k4_ordinal1)).
fof(dt_k3_glib_000, axiom, m1_subset_1(k3_glib_000, k4_ordinal1)).
fof(dt_k4_glib_000, axiom, m1_subset_1(k4_glib_000, k4_ordinal1)).
fof(dt_k5_glib_000, axiom,  ( ~ (v1_xboole_0(k5_glib_000))  & m1_subset_1(k5_glib_000, k1_zfmisc_1(k4_ordinal1))) ).
fof(dt_k10_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (v1_funct_1(k10_glib_000(A)) &  (v1_funct_2(k10_glib_000(A), k7_glib_000(A), k6_glib_000(A)) & m1_subset_1(k10_glib_000(A), k1_zfmisc_1(k2_zfmisc_1(k7_glib_000(A), k6_glib_000(A))))) ) ) ) ).
fof(redefinition_k10_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  => k10_glib_000(A)=k8_glib_000(A)) ) ).
fof(dt_k11_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (v1_funct_1(k11_glib_000(A)) &  (v1_funct_2(k11_glib_000(A), k7_glib_000(A), k6_glib_000(A)) & m1_subset_1(k11_glib_000(A), k1_zfmisc_1(k2_zfmisc_1(k7_glib_000(A), k6_glib_000(A))))) ) ) ) ).
fof(redefinition_k11_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  => k11_glib_000(A)=k9_glib_000(A)) ) ).
fof(dt_k12_glib_000, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) )  =>  (v1_relat_1(k12_glib_000(A, B, C, D)) &  (v4_relat_1(k12_glib_000(A, B, C, D), k4_ordinal1) &  (v1_funct_1(k12_glib_000(A, B, C, D)) &  (v1_finset_1(k12_glib_000(A, B, C, D)) & v1_glib_000(k12_glib_000(A, B, C, D))) ) ) ) ) ) ).
fof(dt_k13_glib_000, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  & v7_ordinal1(B))  =>  (v1_relat_1(k13_glib_000(A, B, C)) &  (v4_relat_1(k13_glib_000(A, B, C), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, B, C)) & v1_finset_1(k13_glib_000(A, B, C))) ) ) ) ) ).
fof(dt_k14_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  => v1_card_1(k14_glib_000(A))) ) ).
fof(dt_k15_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  ( ~ (v8_ordinal1(k15_glib_000(A)))  & m1_subset_1(k15_glib_000(A), k4_ordinal1)) ) ) ).
fof(redefinition_k15_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  => k15_glib_000(A)=k14_glib_000(A)) ) ).
fof(dt_k16_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  => v1_card_1(k16_glib_000(A))) ) ).
fof(dt_k17_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  => m1_subset_1(k17_glib_000(A), k4_ordinal1)) ) ).
fof(redefinition_k17_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  => k17_glib_000(A)=k16_glib_000(A)) ) ).
fof(dt_k18_glib_000, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  => m1_subset_1(k18_glib_000(A, B), k1_zfmisc_1(k7_glib_000(A)))) ) ).
fof(dt_k19_glib_000, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  => m1_subset_1(k19_glib_000(A, B), k1_zfmisc_1(k7_glib_000(A)))) ) ).
fof(dt_k20_glib_000, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  => m1_subset_1(k20_glib_000(A, B), k1_zfmisc_1(k7_glib_000(A)))) ) ).
fof(dt_k21_glib_000, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  => m1_subset_1(k21_glib_000(A, B), k1_zfmisc_1(k7_glib_000(A)))) ) ).
fof(dt_k22_glib_000, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  => m1_subset_1(k22_glib_000(A, B, C), k1_zfmisc_1(k7_glib_000(A)))) ) ).
fof(dt_k23_glib_000, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  => m1_subset_1(k23_glib_000(A, B, C), k1_zfmisc_1(k7_glib_000(A)))) ) ).
fof(dt_m1_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) ) ) ) ) ) ).
fof(existence_m1_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (? [B] : m1_glib_000(B, A)) ) ) ).
fof(dt_k24_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m1_glib_000(B, A))  =>  ( ~ (v1_xboole_0(k24_glib_000(A, B)))  & m1_subset_1(k24_glib_000(A, B), k1_zfmisc_1(k6_glib_000(A)))) ) ) ).
fof(redefinition_k24_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m1_glib_000(B, A))  => k24_glib_000(A, B)=k6_glib_000(B)) ) ).
fof(dt_k25_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m1_glib_000(B, A))  => m1_subset_1(k25_glib_000(A, B), k1_zfmisc_1(k7_glib_000(A)))) ) ).
fof(redefinition_k25_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m1_glib_000(B, A))  => k25_glib_000(A, B)=k7_glib_000(B)) ) ).
fof(symmetry_r5_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) ) )  =>  (r5_glib_000(A, B) => r5_glib_000(B, A)) ) ) ).
fof(reflexivity_r5_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) ) )  => r5_glib_000(A, A)) ) ).
fof(reflexivity_r6_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) ) )  => r6_glib_000(A, A)) ) ).
fof(irreflexivity_r7_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) ) )  =>  ~ (r7_glib_000(A, A)) ) ) ).
fof(dt_m2_glib_000, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [D] :  (m2_glib_000(D, A, B, C) => m1_glib_000(D, A)) ) ) ) ).
fof(existence_m2_glib_000, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (? [D] : m2_glib_000(D, A, B, C)) ) ) ).
fof(dt_k26_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m1_subset_1(B, k6_glib_000(A)))  => m1_subset_1(k26_glib_000(A, B), k1_zfmisc_1(k7_glib_000(A)))) ) ).
fof(dt_k27_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m1_subset_1(B, k6_glib_000(A)))  => m1_subset_1(k27_glib_000(A, B), k1_zfmisc_1(k7_glib_000(A)))) ) ).
fof(dt_k28_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m1_subset_1(B, k6_glib_000(A)))  => m1_subset_1(k28_glib_000(A, B), k1_zfmisc_1(k7_glib_000(A)))) ) ).
fof(dt_k29_glib_000, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m1_subset_1(B, k6_glib_000(A)))  => m1_subset_1(k29_glib_000(A, B, C), k6_glib_000(A))) ) ).
fof(dt_k30_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m1_subset_1(B, k6_glib_000(A)))  => v1_card_1(k30_glib_000(A, B))) ) ).
fof(dt_k31_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m1_subset_1(B, k6_glib_000(A)))  => v1_card_1(k31_glib_000(A, B))) ) ).
fof(dt_k32_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  & m1_subset_1(B, k6_glib_000(A)))  => m1_subset_1(k32_glib_000(A, B), k4_ordinal1)) ) ).
fof(redefinition_k32_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  & m1_subset_1(B, k6_glib_000(A)))  => k32_glib_000(A, B)=k30_glib_000(A, B)) ) ).
fof(dt_k33_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  & m1_subset_1(B, k6_glib_000(A)))  => m1_subset_1(k33_glib_000(A, B), k4_ordinal1)) ) ).
fof(redefinition_k33_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  & m1_subset_1(B, k6_glib_000(A)))  => k33_glib_000(A, B)=k31_glib_000(A, B)) ) ).
fof(dt_k34_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m1_subset_1(B, k6_glib_000(A)))  => v1_card_1(k34_glib_000(A, B))) ) ).
fof(dt_k35_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  & m1_subset_1(B, k6_glib_000(A)))  => m1_subset_1(k35_glib_000(A, B), k4_ordinal1)) ) ).
fof(redefinition_k35_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  & m1_subset_1(B, k6_glib_000(A)))  => k35_glib_000(A, B)=k34_glib_000(A, B)) ) ).
fof(dt_k36_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m1_subset_1(B, k6_glib_000(A)))  => m1_subset_1(k36_glib_000(A, B), k1_zfmisc_1(k6_glib_000(A)))) ) ).
fof(dt_k37_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m1_subset_1(B, k6_glib_000(A)))  => m1_subset_1(k37_glib_000(A, B), k1_zfmisc_1(k6_glib_000(A)))) ) ).
fof(dt_k38_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m1_subset_1(B, k6_glib_000(A)))  => m1_subset_1(k38_glib_000(A, B), k1_zfmisc_1(k6_glib_000(A)))) ) ).
fof(dt_k39_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) )  => m1_subset_1(k39_glib_000(A), k4_ordinal1)) ) ).
fof(fc1_glib_001, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m3_glib_001(B, A))  =>  ( ~ (v1_xboole_0(k1_card_1(B)))  &  (v1_card_1(k1_card_1(B)) &  ~ (v1_abian(k1_card_1(B))) ) ) ) ) ).
fof(cc1_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (v5_glib_001(B, A) => v4_glib_001(B, A)) ) ) ) ) ).
fof(cc2_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (v3_glib_001(B, A) => v5_glib_001(B, A)) ) ) ) ) ).
fof(cc3_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (v3_glib_001(B, A) => v6_glib_001(B, A)) ) ) ) ) ).
fof(cc4_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (v6_glib_001(B, A) => v5_glib_001(B, A)) ) ) ) ) ).
fof(cc5_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (v7_glib_001(B, A) =>  (v1_glib_001(B, A) &  ( ~ (v3_glib_001(B, A))  & v4_glib_001(B, A)) ) ) ) ) ) ) ).
fof(cc6_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (v8_glib_001(B, A) =>  (v1_glib_001(B, A) &  ( ~ (v3_glib_001(B, A))  & v5_glib_001(B, A)) ) ) ) ) ) ) ).
fof(rc1_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (? [B] :  (m3_glib_001(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k2_xboole_0(k6_glib_000(A), k7_glib_000(A))) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) &  (v1_glib_001(B, A) &  (v2_glib_001(B, A) & v3_glib_001(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (? [B] :  (m3_glib_001(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k2_xboole_0(k6_glib_000(A), k7_glib_000(A))) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) & v6_glib_001(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc2_glib_001, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m1_subset_1(B, k6_glib_000(A)))  =>  (v1_glib_001(k1_glib_001(A, B), A) &  (v2_glib_001(k1_glib_001(A, B), A) & v3_glib_001(k1_glib_001(A, B), A)) ) ) ) ).
fof(fc3_glib_001, axiom,  (! [A, B, C, D] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  => v5_glib_001(k2_glib_001(A, B, D, C), A)) ) ).
fof(fc4_glib_001, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  => v1_glib_001(k2_glib_001(A, B, B, C), A)) ) ).
fof(fc5_glib_001, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_glib_001(B, A) & m3_glib_001(B, A)) )  => v1_glib_001(k6_glib_001(A, B), A)) ) ).
fof(fc6_glib_001, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v3_glib_001(B, A) & m3_glib_001(B, A)) )  => v3_glib_001(k6_glib_001(A, B), A)) ) ).
fof(fc7_glib_001, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v4_glib_001(B, A) & m3_glib_001(B, A)) )  => v4_glib_001(k6_glib_001(A, B), A)) ) ).
fof(fc8_glib_001, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v5_glib_001(B, A) & m3_glib_001(B, A)) )  => v5_glib_001(k6_glib_001(A, B), A)) ) ).
fof(fc9_glib_001, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( (v1_glib_001(B, A) & m3_glib_001(B, A))  &  (v1_glib_001(C, A) & m3_glib_001(C, A)) ) )  => v1_glib_001(k7_glib_001(A, B, C), A)) ) ).
fof(fc10_glib_001, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( (v2_glib_001(B, A) & m3_glib_001(B, A))  &  (v2_glib_001(C, A) & m3_glib_001(C, A)) ) )  => v2_glib_001(k7_glib_001(A, B, C), A)) ) ).
fof(fc11_glib_001, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( (v3_glib_001(B, A) & m3_glib_001(B, A))  &  (v3_glib_001(C, A) & m3_glib_001(C, A)) ) )  => v3_glib_001(k7_glib_001(A, B, C), A)) ) ).
fof(fc12_glib_001, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( (v2_glib_001(B, A) & m3_glib_001(B, A))  &  (m1_subset_1(C, k4_ordinal1) & m1_subset_1(D, k4_ordinal1)) ) )  => v2_glib_001(k8_glib_001(A, B, C, D), A)) ) ).
fof(fc13_glib_001, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( (v3_glib_001(B, A) & m3_glib_001(B, A))  &  (m1_subset_1(C, k4_ordinal1) & m1_subset_1(D, k4_ordinal1)) ) )  => v3_glib_001(k8_glib_001(A, B, C, D), A)) ) ).
fof(fc14_glib_001, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( (v4_glib_001(B, A) & m3_glib_001(B, A))  &  (m1_subset_1(C, k4_ordinal1) & m1_subset_1(D, k4_ordinal1)) ) )  => v4_glib_001(k8_glib_001(A, B, C, D), A)) ) ).
fof(fc15_glib_001, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( (v5_glib_001(B, A) & m3_glib_001(B, A))  &  (m1_subset_1(C, k4_ordinal1) & m1_subset_1(D, k4_ordinal1)) ) )  => v5_glib_001(k8_glib_001(A, B, C, D), A)) ) ).
fof(fc16_glib_001, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( (v6_glib_001(B, A) & m3_glib_001(B, A))  &  (m1_subset_1(C, k4_ordinal1) & m1_subset_1(D, k4_ordinal1)) ) )  => v6_glib_001(k8_glib_001(A, B, C, D), A)) ) ).
fof(fc17_glib_001, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( (v1_glib_001(B, A) & m3_glib_001(B, A))  &  (m1_subset_1(C, k4_ordinal1) & m1_subset_1(D, k4_ordinal1)) ) )  => v1_glib_001(k9_glib_001(A, B, C, D), A)) ) ).
fof(fc18_glib_001, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( (v2_glib_001(B, A) & m3_glib_001(B, A))  &  (m1_subset_1(C, k4_ordinal1) & m1_subset_1(D, k4_ordinal1)) ) )  => v2_glib_001(k9_glib_001(A, B, C, D), A)) ) ).
fof(fc19_glib_001, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( (v3_glib_001(B, A) & m3_glib_001(B, A))  &  (m1_subset_1(C, k4_ordinal1) & m1_subset_1(D, k4_ordinal1)) ) )  => v3_glib_001(k9_glib_001(A, B, C, D), A)) ) ).
fof(fc20_glib_001, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( (v4_glib_001(B, A) & m3_glib_001(B, A))  &  (m1_subset_1(C, k4_ordinal1) & m1_subset_1(D, k4_ordinal1)) ) )  => v4_glib_001(k9_glib_001(A, B, C, D), A)) ) ).
fof(fc21_glib_001, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( (v5_glib_001(B, A) & m3_glib_001(B, A))  &  (m1_subset_1(C, k4_ordinal1) & m1_subset_1(D, k4_ordinal1)) ) )  => v5_glib_001(k9_glib_001(A, B, C, D), A)) ) ).
fof(rc3_glib_001, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m3_glib_001(B, A))  =>  (? [C] :  (m4_glib_001(C, A, B) &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, k2_xboole_0(k6_glib_000(A), k7_glib_000(A))) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_finseq_1(C) &  (v2_finseq_1(C) &  (v4_glib_001(C, A) & v5_glib_001(C, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc4_glib_001, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v2_glib_001(B, A) & m3_glib_001(B, A)) )  =>  (? [C] :  (m4_glib_001(C, A, B) &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, k2_xboole_0(k6_glib_000(A), k7_glib_000(A))) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_finseq_1(C) &  (v2_finseq_1(C) &  (v2_glib_001(C, A) &  (v4_glib_001(C, A) & v5_glib_001(C, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc22_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  ( ~ (v1_xboole_0(k22_glib_001(A)))  & v1_finset_1(k22_glib_001(A))) ) ) ).
fof(t1_glib_001, axiom,  (! [A] :  ( ( ~ (v1_abian(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v1_abian(B))  & m1_subset_1(B, k4_ordinal1))  =>  ( ~ (r1_xxreal_0(B, A))  <=> r1_xxreal_0(k1_nat_1(A, 2), B)) ) ) ) ) ).
fof(t3_glib_001, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => r1_xxreal_0(k3_finseq_1(k15_finseq_1(C)), k3_finseq_1(B))) ) ) ) ) ).
fof(t4_glib_001, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ~ ( (r2_tarski(D, k1_relset_1(k4_ordinal1, k15_finseq_1(C))) &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ~ ( (r2_tarski(E, k1_relset_1(k4_ordinal1, B)) &  (r1_xxreal_0(D, E) & k1_funct_1(k15_finseq_1(C), D)=k1_funct_1(B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_glib_001, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => k3_finseq_1(k15_finseq_1(C))=k4_card_1(C)) ) ) ) ) ).
fof(t6_glib_001, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => k1_relset_1(k4_ordinal1, k15_finseq_1(C))=k1_relset_1(k4_ordinal1, k14_finseq_1(k1_relset_1(k4_ordinal1, C)))) ) ) ) ) ).
fof(d1_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m2_finseq_1(B, k6_glib_000(A)) =>  (m1_glib_001(B, A) <=>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ ( (r1_xxreal_0(1, C) &  ( ~ (r1_xxreal_0(k3_finseq_1(B), C))  &  (! [D] :  ~ (r1_glib_000(A, k1_funct_1(B, C), k1_funct_1(B, k1_nat_1(C, 1)), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m2_finseq_1(B, k7_glib_000(A)) =>  (m2_glib_001(B, A) <=>  (? [C] :  (m2_finseq_1(C, k6_glib_000(A)) &  (k3_finseq_1(C)=k1_nat_1(k3_finseq_1(B), 1) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, k3_finseq_1(B)))  => r1_glib_000(A, k1_funct_1(C, D), k1_funct_1(C, k1_nat_1(D, 1)), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m2_finseq_1(B, k2_xboole_0(k6_glib_000(A), k7_glib_000(A))) =>  (m3_glib_001(B, A) <=>  ( ~ (v1_abian(k3_finseq_1(B)))  &  (r2_tarski(k1_funct_1(B, 1), k6_glib_000(A)) &  (! [C] :  ( ( ~ (v1_abian(C))  & m1_subset_1(C, k4_ordinal1))  =>  ( ~ (r1_xxreal_0(k3_finseq_1(B), C))  => r1_glib_000(A, k1_funct_1(B, C), k1_funct_1(B, k1_nat_1(C, 2)), k1_funct_1(B, k1_nat_1(C, 1)))) ) ) ) ) ) ) ) ) ) ).
fof(d4_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) => k1_glib_001(A, B)=k12_finseq_1(k6_glib_000(A), B)) ) ) ) ).
fof(d6_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) => k3_glib_001(A, B)=k1_funct_1(B, 1)) ) ) ) ).
fof(d7_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) => k4_glib_001(A, B)=k1_funct_1(B, k3_finseq_1(B))) ) ) ) ).
fof(d8_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(C, k3_finseq_1(B)) =>  (v1_abian(C) | k5_glib_001(A, B, C)=k1_funct_1(B, C)) )  &  ( ~ ( ( ~ (v1_abian(C))  & r1_xxreal_0(C, k3_finseq_1(B))) )  => k5_glib_001(A, B, C)=k3_glib_001(A, B)) ) ) ) ) ) ) ) ).
fof(d9_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) => k6_glib_001(A, B)=k4_finseq_5(k2_xboole_0(k6_glib_000(A), k7_glib_000(A)), B)) ) ) ) ).
fof(d10_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m3_glib_001(C, A) =>  ( (k4_glib_001(A, B)=k3_glib_001(A, C) => k7_glib_001(A, B, C)=k7_finseq_6(k2_xboole_0(k6_glib_000(A), k7_glib_000(A)), B, C))  &  ( ~ (k4_glib_001(A, B)=k3_glib_001(A, C))  => k7_glib_001(A, B, C)=B) ) ) ) ) ) ) ) ).
fof(d11_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( ( (r1_xxreal_0(C, D) & r1_xxreal_0(D, k3_finseq_1(B)))  =>  (v1_abian(C) |  (v1_abian(D) | k8_glib_001(A, B, C, D)=k5_finseq_6(k2_xboole_0(k6_glib_000(A), k7_glib_000(A)), B, C, D)) ) )  &  ( ~ ( ( ~ (v1_abian(C))  &  ( ~ (v1_abian(D))  &  (r1_xxreal_0(C, D) & r1_xxreal_0(D, k3_finseq_1(B))) ) ) )  => k8_glib_001(A, B, C, D)=B) ) ) ) ) ) ) ) ) ) ).
fof(d12_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( ( (r1_xxreal_0(C, D) &  (r1_xxreal_0(D, k3_finseq_1(B)) & k1_funct_1(B, C)=k1_funct_1(B, D)) )  =>  (v1_abian(C) |  (v1_abian(D) | k9_glib_001(A, B, C, D)=k7_glib_001(A, k8_glib_001(A, B, 1, C), k8_glib_001(A, B, D, k3_finseq_1(B)))) ) )  &  ( ~ ( ( ~ (v1_abian(C))  &  ( ~ (v1_abian(D))  &  (r1_xxreal_0(C, D) &  (r1_xxreal_0(D, k3_finseq_1(B)) & k1_funct_1(B, C)=k1_funct_1(B, D)) ) ) ) )  => k9_glib_001(A, B, C, D)=B) ) ) ) ) ) ) ) ) ) ).
fof(d13_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] : k10_glib_001(A, B, C)=k7_glib_001(A, B, k2_glib_001(A, k4_glib_001(A, B), k29_glib_000(A, k4_glib_001(A, B), C), C))) ) ) ) ) ).
fof(d14_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m1_glib_001(C, A) =>  (C=k11_glib_001(A, B) <=>  (k1_nat_1(k3_finseq_1(B), 1)=k2_nat_1(2, k3_finseq_1(C)) &  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, k3_finseq_1(C)))  => k1_funct_1(C, D)=k1_funct_1(B, k6_xcmplx_0(k3_xcmplx_0(2, D), 1))) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m2_glib_001(C, A) =>  (C=k12_glib_001(A, B) <=>  (k3_finseq_1(B)=k1_nat_1(k2_nat_1(2, k3_finseq_1(C)), 1) &  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, k3_finseq_1(C)))  => k1_funct_1(C, D)=k1_funct_1(B, k3_xcmplx_0(2, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) => k13_glib_001(A, B)=k2_relset_1(k6_glib_000(A), k11_glib_001(A, B))) ) ) ) ).
fof(d17_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) => k14_glib_001(A, B)=k2_relset_1(k7_glib_000(A), k12_glib_001(A, B))) ) ) ) ).
fof(d18_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) => k15_glib_001(A, B)=k3_finseq_1(k12_glib_001(A, B))) ) ) ) ).
fof(d19_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (! [D] :  ( ( ~ (v1_abian(D))  & m1_subset_1(D, k4_ordinal1))  =>  ( (r2_tarski(C, k13_glib_001(A, B)) =>  (D=k16_glib_001(A, B, C) <=>  (r1_xxreal_0(D, k3_finseq_1(B)) &  (k1_funct_1(B, D)=C &  (! [E] :  ( (v7_ordinal1(E) &  ~ (v1_abian(E)) )  =>  ( (r1_xxreal_0(E, k3_finseq_1(B)) & k1_funct_1(B, E)=C)  => r1_xxreal_0(D, E)) ) ) ) ) ) )  &  ( ~ (r2_tarski(C, k13_glib_001(A, B)))  =>  (D=k16_glib_001(A, B, C) <=> D=k3_finseq_1(B)) ) ) ) ) ) ) ) ) ) ).
fof(d20_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( ( ~ (v1_abian(D))  & m1_subset_1(D, k4_ordinal1))  =>  ( (r1_xxreal_0(C, k3_finseq_1(B)) =>  (v1_abian(C) |  (D=k17_glib_001(A, B, C) <=>  (r1_xxreal_0(D, k3_finseq_1(B)) &  (k1_funct_1(B, D)=k1_funct_1(B, C) &  (! [E] :  ( (v7_ordinal1(E) &  ~ (v1_abian(E)) )  =>  ( (r1_xxreal_0(E, k3_finseq_1(B)) & k1_funct_1(B, E)=k1_funct_1(B, C))  => r1_xxreal_0(D, E)) ) ) ) ) ) ) )  &  ( ~ ( ( ~ (v1_abian(C))  & r1_xxreal_0(C, k3_finseq_1(B))) )  =>  (D=k17_glib_001(A, B, C) <=> D=k3_finseq_1(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(d21_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (! [D] :  ( ( ~ (v1_abian(D))  & m1_subset_1(D, k4_ordinal1))  =>  ( (r2_tarski(C, k13_glib_001(A, B)) =>  (D=k18_glib_001(A, B, C) <=>  (r1_xxreal_0(D, k3_finseq_1(B)) &  (k1_funct_1(B, D)=C &  (! [E] :  ( ( ~ (v1_abian(E))  & m1_subset_1(E, k4_ordinal1))  =>  ( (r1_xxreal_0(E, k3_finseq_1(B)) & k1_funct_1(B, E)=C)  => r1_xxreal_0(E, D)) ) ) ) ) ) )  &  ( ~ (r2_tarski(C, k13_glib_001(A, B)))  =>  (D=k18_glib_001(A, B, C) <=> D=k3_finseq_1(B)) ) ) ) ) ) ) ) ) ) ).
fof(d22_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( ( ~ (v1_abian(D))  & m1_subset_1(D, k4_ordinal1))  =>  ( (r1_xxreal_0(C, k3_finseq_1(B)) =>  (v1_abian(C) |  (D=k19_glib_001(A, B, C) <=>  (r1_xxreal_0(D, k3_finseq_1(B)) &  (k1_funct_1(B, D)=k1_funct_1(B, C) &  (! [E] :  ( ( ~ (v1_abian(E))  & m1_subset_1(E, k4_ordinal1))  =>  ( (r1_xxreal_0(E, k3_finseq_1(B)) & k1_funct_1(B, E)=k1_funct_1(B, C))  => r1_xxreal_0(E, D)) ) ) ) ) ) ) )  &  ( ~ ( ( ~ (v1_abian(C))  & r1_xxreal_0(C, k3_finseq_1(B))) )  =>  (D=k19_glib_001(A, B, C) <=> D=k3_finseq_1(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(d23_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (! [D] :  (m3_glib_001(D, A) =>  (r1_glib_001(A, B, C, D) <=>  (k3_glib_001(A, D)=B & k4_glib_001(A, D)=C) ) ) ) ) ) ) ) ).
fof(d24_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (v1_glib_001(B, A) <=> k3_glib_001(A, B)=k4_glib_001(A, B)) ) ) ) ) ).
fof(d25_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (v2_glib_001(B, A) <=>  (! [C] :  ( ( ~ (v1_abian(C))  & m1_subset_1(C, k4_ordinal1))  =>  ( ~ (r1_xxreal_0(k3_finseq_1(B), C))  => k1_funct_1(k10_glib_000(A), k1_funct_1(B, k1_nat_1(C, 1)))=k1_funct_1(B, C)) ) ) ) ) ) ) ) ).
fof(d26_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (v3_glib_001(B, A) <=> k15_glib_001(A, B)=k5_numbers) ) ) ) ) ).
fof(d27_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (v4_glib_001(B, A) <=> v2_funct_1(k12_glib_001(A, B))) ) ) ) ) ).
fof(d28_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (v5_glib_001(B, A) <=>  (v4_glib_001(B, A) &  (! [C] :  ( ( ~ (v1_abian(C))  & m1_subset_1(C, k4_ordinal1))  =>  (! [D] :  ( ( ~ (v1_abian(D))  & m1_subset_1(D, k4_ordinal1))  =>  ( (r1_xxreal_0(D, k3_finseq_1(B)) & k1_funct_1(B, C)=k1_funct_1(B, D))  =>  (r1_xxreal_0(D, C) |  (C=1 & D=k3_finseq_1(B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d29_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (v6_glib_001(B, A) <=>  (! [C] :  ( ( ~ (v1_abian(C))  & m1_subset_1(C, k4_ordinal1))  =>  (! [D] :  ( ( ~ (v1_abian(D))  & m1_subset_1(D, k4_ordinal1))  =>  ( (r1_xxreal_0(C, k3_finseq_1(B)) &  (r1_xxreal_0(D, k3_finseq_1(B)) & k1_funct_1(B, C)=k1_funct_1(B, D)) )  => C=D) ) ) ) ) ) ) ) ) ) ).
fof(d30_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (v7_glib_001(B, A) <=>  (v1_glib_001(B, A) &  (v4_glib_001(B, A) &  ~ (v3_glib_001(B, A)) ) ) ) ) ) ) ) ).
fof(d31_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (v8_glib_001(B, A) <=>  (v1_glib_001(B, A) &  (v5_glib_001(B, A) &  ~ (v3_glib_001(B, A)) ) ) ) ) ) ) ) ).
fof(d32_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m3_glib_001(C, A) =>  (m4_glib_001(C, A, B) <=>  (r1_glib_001(A, k3_glib_001(A, B), k4_glib_001(A, B), C) &  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(k12_glib_001(A, B))) & k12_glib_001(A, C)=k15_finseq_1(D)) ) ) ) ) ) ) ) ) ) ).
fof(t7_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  ( ( ~ (v1_abian(C))  & m1_subset_1(C, k4_ordinal1))  =>  (r1_xxreal_0(C, k3_finseq_1(B)) => r2_tarski(k1_funct_1(B, C), k6_glib_000(A))) ) ) ) ) ) ) ).
fof(t8_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  ( (v1_abian(C) & m1_subset_1(C, k4_ordinal1))  =>  (r2_tarski(C, k1_relset_1(k4_ordinal1, B)) => r2_tarski(k1_funct_1(B, C), k7_glib_000(A))) ) ) ) ) ) ) ).
fof(t9_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  ( (v1_abian(C) & m1_subset_1(C, k4_ordinal1))  =>  ~ ( (r2_tarski(C, k1_relset_1(k4_ordinal1, B)) &  (! [D] :  ( ( ~ (v1_abian(D))  & m1_subset_1(D, k4_ordinal1))  =>  ~ ( (D=k6_xcmplx_0(C, 1) &  (r2_tarski(k6_xcmplx_0(C, 1), k1_relset_1(k4_ordinal1, B)) &  (r2_tarski(k1_nat_1(C, 1), k1_relset_1(k4_ordinal1, B)) & r1_glib_000(A, k1_funct_1(B, D), k1_funct_1(B, k1_nat_1(C, 1)), k1_funct_1(B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  ( ( ~ (v1_abian(C))  & m1_subset_1(C, k4_ordinal1))  =>  ( ~ (r1_xxreal_0(k3_finseq_1(B), C))  => r2_tarski(k1_funct_1(B, k1_nat_1(C, 1)), k28_glib_000(A, k5_glib_001(A, B, C)))) ) ) ) ) ) ) ).
fof(t11_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  ( ( ~ (v1_abian(C))  & m1_subset_1(C, k4_ordinal1))  =>  (r1_xxreal_0(C, k3_finseq_1(B)) =>  (r1_xxreal_0(C, 1) | r2_tarski(k1_funct_1(B, k6_xcmplx_0(C, 1)), k28_glib_000(A, k5_glib_001(A, B, C)))) ) ) ) ) ) ) ) ).
fof(t12_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  ( ( ~ (v1_abian(C))  & m1_subset_1(C, k4_ordinal1))  =>  ( ~ (r1_xxreal_0(k3_finseq_1(B), C))  =>  (r2_tarski(C, k1_relset_1(k4_ordinal1, B)) &  (r2_tarski(k1_nat_1(C, 1), k1_relset_1(k4_ordinal1, B)) & r2_tarski(k1_nat_1(C, 2), k1_relset_1(k4_ordinal1, B))) ) ) ) ) ) ) ) ) ).
fof(t13_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (k3_finseq_1(k1_glib_001(A, B))=1 &  (k1_funct_1(k1_glib_001(A, B), 1)=B &  (k3_glib_001(A, k1_glib_001(A, B))=B &  (k4_glib_001(A, k1_glib_001(A, B))=B & r1_glib_001(A, B, B, k1_glib_001(A, B))) ) ) ) ) ) ) ) ).
fof(t14_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (! [D] :  (r1_glib_000(A, C, D, B) => k3_finseq_1(k2_glib_001(A, C, D, B))=3) ) ) ) ) ) ).
fof(t15_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (! [D] :  (r1_glib_000(A, C, D, B) =>  (k3_glib_001(A, k2_glib_001(A, C, D, B))=C &  (k4_glib_001(A, k2_glib_001(A, C, D, B))=D & r1_glib_001(A, C, D, k2_glib_001(A, C, D, B))) ) ) ) ) ) ) ) ).
fof(t16_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (! [C] :  (m3_glib_001(C, A) =>  (! [D] :  (m3_glib_001(D, B) =>  (C=D =>  (k3_glib_001(A, C)=k3_glib_001(B, D) & k4_glib_001(A, C)=k4_glib_001(B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t17_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (! [D] :  (r1_glib_001(A, C, D, B) <=>  (k1_funct_1(B, 1)=C & k1_funct_1(B, k3_finseq_1(B))=D) ) ) ) ) ) ) ) ).
fof(t18_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (! [D] :  (r1_glib_001(A, C, D, B) =>  (m1_subset_1(C, k6_glib_000(A)) & m1_subset_1(D, k6_glib_000(A))) ) ) ) ) ) ) ) ).
fof(t19_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (! [C] :  (! [D] :  (! [E] :  (m3_glib_001(E, A) =>  (! [F] :  (m3_glib_001(F, B) =>  (E=F =>  (r1_glib_001(A, C, D, E) <=> r1_glib_001(B, C, D, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (! [C] :  (m3_glib_001(C, A) =>  (! [D] :  (m3_glib_001(D, B) =>  (C=D =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) => k5_glib_001(A, C, E)=k5_glib_001(B, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (k3_finseq_1(B)=k3_finseq_1(k6_glib_001(A, B)) &  (k1_relset_1(k4_ordinal1, B)=k1_relset_1(k4_ordinal1, k6_glib_001(A, B)) & k2_relset_1(k2_xboole_0(k6_glib_000(A), k7_glib_000(A)), B)=k2_relset_1(k2_xboole_0(k6_glib_000(A), k7_glib_000(A)), k6_glib_001(A, B))) ) ) ) ) ) ).
fof(t22_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (k3_glib_001(A, B)=k4_glib_001(A, k6_glib_001(A, B)) & k4_glib_001(A, B)=k3_glib_001(A, k6_glib_001(A, B))) ) ) ) ) ).
fof(t23_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (! [D] :  (r1_glib_001(A, C, D, B) <=> r1_glib_001(A, D, C, k6_glib_001(A, B))) ) ) ) ) ) ) ).
fof(t24_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r2_tarski(C, k1_relset_1(k4_ordinal1, B)) =>  (k1_funct_1(B, C)=k1_funct_1(k6_glib_001(A, B), k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(B), C), 1)) & r2_tarski(k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(B), C), 1), k1_relset_1(k4_ordinal1, k6_glib_001(A, B)))) ) ) ) ) ) ) ) ).
fof(t25_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r2_tarski(C, k1_relset_1(k4_ordinal1, k6_glib_001(A, B))) =>  (k1_funct_1(k6_glib_001(A, B), C)=k1_funct_1(B, k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(B), C), 1)) & r2_tarski(k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(B), C), 1), k1_relset_1(k4_ordinal1, B))) ) ) ) ) ) ) ) ).
fof(t27_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (! [C] :  (m3_glib_001(C, A) =>  (! [D] :  (m3_glib_001(D, B) =>  (C=D => k6_glib_001(A, C)=k6_glib_001(B, D)) ) ) ) ) ) ) ) ) ).
fof(t28_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m3_glib_001(C, A) =>  (k4_glib_001(A, B)=k3_glib_001(A, C) => k1_nat_1(k3_finseq_1(k7_glib_001(A, B, C)), 1)=k1_nat_1(k3_finseq_1(B), k3_finseq_1(C))) ) ) ) ) ) ) ).
fof(t29_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m3_glib_001(C, A) =>  (k4_glib_001(A, B)=k3_glib_001(A, C) =>  (r1_xxreal_0(k3_finseq_1(B), k3_finseq_1(k7_glib_001(A, B, C))) & r1_xxreal_0(k3_finseq_1(C), k3_finseq_1(k7_glib_001(A, B, C)))) ) ) ) ) ) ) ) ).
fof(t30_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m3_glib_001(C, A) =>  (k4_glib_001(A, B)=k3_glib_001(A, C) =>  (k3_glib_001(A, k7_glib_001(A, B, C))=k3_glib_001(A, B) &  (k4_glib_001(A, k7_glib_001(A, B, C))=k4_glib_001(A, C) & r1_glib_001(A, k3_glib_001(A, B), k4_glib_001(A, C), k7_glib_001(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t31_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m3_glib_001(C, A) =>  (! [D] :  (! [E] :  (! [F] :  ( (r1_glib_001(A, D, E, B) & r1_glib_001(A, E, F, C))  => r1_glib_001(A, D, F, k7_glib_001(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t32_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m3_glib_001(C, A) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r2_tarski(D, k1_relset_1(k4_ordinal1, B)) =>  (k1_funct_1(k7_glib_001(A, B, C), D)=k1_funct_1(B, D) & r2_tarski(D, k1_relset_1(k4_ordinal1, k7_glib_001(A, B, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t33_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m3_glib_001(C, A) =>  (k4_glib_001(A, B)=k3_glib_001(A, C) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( ~ (r1_xxreal_0(k3_finseq_1(C), D))  =>  (k1_funct_1(k7_glib_001(A, B, C), k1_nat_1(k3_finseq_1(B), D))=k1_funct_1(C, k1_nat_1(D, 1)) & r2_tarski(k1_nat_1(k3_finseq_1(B), D), k1_relset_1(k4_ordinal1, k7_glib_001(A, B, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m3_glib_001(C, A) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ~ ( (r2_tarski(D, k1_relset_1(k4_ordinal1, k7_glib_001(A, B, C))) &  ( ~ (r2_tarski(D, k1_relset_1(k4_ordinal1, B)))  &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ~ ( ( ~ (r1_xxreal_0(k3_finseq_1(C), E))  & D=k1_nat_1(k3_finseq_1(B), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (! [C] :  (m3_glib_001(C, A) =>  (! [D] :  (m3_glib_001(D, A) =>  (! [E] :  (m3_glib_001(E, B) =>  (! [F] :  (m3_glib_001(F, B) =>  ( (C=E & D=F)  => k7_glib_001(A, C, D)=k7_glib_001(B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  ( ( ~ (v1_abian(C))  & m1_subset_1(C, k4_ordinal1))  =>  (! [D] :  ( ( ~ (v1_abian(D))  & m1_subset_1(D, k4_ordinal1))  =>  ( (r1_xxreal_0(C, D) & r1_xxreal_0(D, k3_finseq_1(B)))  =>  (k1_nat_1(k3_finseq_1(k8_glib_001(A, B, C, D)), C)=k1_nat_1(D, 1) &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( ~ (r1_xxreal_0(k3_finseq_1(k8_glib_001(A, B, C, D)), E))  =>  (k1_funct_1(k8_glib_001(A, B, C, D), k1_nat_1(E, 1))=k1_funct_1(B, k1_nat_1(C, E)) & r2_tarski(k1_nat_1(C, E), k1_relset_1(k4_ordinal1, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  ( ( ~ (v1_abian(C))  & m1_subset_1(C, k4_ordinal1))  =>  (! [D] :  ( ( ~ (v1_abian(D))  & m1_subset_1(D, k4_ordinal1))  =>  ( (r1_xxreal_0(C, D) & r1_xxreal_0(D, k3_finseq_1(B)))  =>  (k3_glib_001(A, k8_glib_001(A, B, C, D))=k1_funct_1(B, C) &  (k4_glib_001(A, k8_glib_001(A, B, C, D))=k1_funct_1(B, D) & r1_glib_001(A, k1_funct_1(B, C), k1_funct_1(B, D), k8_glib_001(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  ( ( ~ (v1_abian(C))  & m1_subset_1(C, k4_ordinal1))  =>  (! [D] :  ( ( ~ (v1_abian(D))  & m1_subset_1(D, k4_ordinal1))  =>  (! [E] :  ( ( ~ (v1_abian(E))  & m1_subset_1(E, k4_ordinal1))  =>  ( (r1_xxreal_0(C, D) &  (r1_xxreal_0(D, E) & r1_xxreal_0(E, k3_finseq_1(B))) )  => r2_relset_1(k4_ordinal1, k2_xboole_0(k6_glib_000(A), k7_glib_000(A)), k7_glib_001(A, k8_glib_001(A, B, C, D), k8_glib_001(A, B, D, E)), k8_glib_001(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) => r2_relset_1(k4_ordinal1, k2_xboole_0(k6_glib_000(A), k7_glib_000(A)), k8_glib_001(A, B, 1, k3_finseq_1(B)), B)) ) ) ) ).
fof(t40_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  ( ( ~ (v1_abian(C))  & m1_subset_1(C, k4_ordinal1))  =>  ( ~ (r1_xxreal_0(k3_finseq_1(B), C))  => r2_relset_1(k4_ordinal1, k2_xboole_0(k6_glib_000(A), k7_glib_000(A)), k2_glib_001(A, k1_funct_1(B, C), k1_funct_1(B, k1_nat_1(C, 2)), k1_funct_1(B, k1_nat_1(C, 1))), k8_glib_001(A, B, C, k1_nat_1(C, 2)))) ) ) ) ) ) ) ).
fof(t41_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  ( ( ~ (v1_abian(C))  & m1_subset_1(C, k4_ordinal1))  =>  (! [D] :  ( ( ~ (v1_abian(D))  & m1_subset_1(D, k4_ordinal1))  =>  (r1_xxreal_0(C, D) =>  (r1_xxreal_0(k3_finseq_1(B), D) | r2_relset_1(k4_ordinal1, k2_xboole_0(k6_glib_000(A), k7_glib_000(A)), k10_glib_001(A, k8_glib_001(A, B, C, D), k1_funct_1(B, k1_nat_1(D, 1))), k8_glib_001(A, B, C, k1_nat_1(D, 2)))) ) ) ) ) ) ) ) ) ) ).
fof(t42_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  ( ( ~ (v1_abian(C))  & m1_subset_1(C, k4_ordinal1))  =>  (r1_xxreal_0(C, k3_finseq_1(B)) => k8_glib_001(A, B, C, C)=k12_finseq_1(k6_glib_000(A), k5_glib_001(A, B, C))) ) ) ) ) ) ) ).
fof(t43_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r1_xxreal_0(D, C) =>  (v1_abian(D) | r2_relset_1(k4_ordinal1, k2_xboole_0(k6_glib_000(A), k7_glib_000(A)), k8_glib_001(A, k8_glib_001(A, B, 1, C), 1, D), k8_glib_001(A, B, 1, D))) ) ) ) ) ) ) ) ) ) ).
fof(t44_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m3_glib_001(C, A) =>  (! [D] :  ( ( ~ (v1_abian(D))  & m1_subset_1(D, k4_ordinal1))  =>  (! [E] :  ( ( ~ (v1_abian(E))  & m1_subset_1(E, k4_ordinal1))  =>  ( (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, k3_finseq_1(B)) & k4_glib_001(A, B)=k3_glib_001(A, C)) )  => r2_relset_1(k4_ordinal1, k2_xboole_0(k6_glib_000(A), k7_glib_000(A)), k8_glib_001(A, k7_glib_001(A, B, C), D, E), k8_glib_001(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  ( ( ~ (v1_abian(C))  & m1_subset_1(C, k4_ordinal1))  =>  (r1_xxreal_0(C, k3_finseq_1(B)) => k3_finseq_1(k8_glib_001(A, B, 1, C))=C) ) ) ) ) ) ) ).
fof(t46_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  ( ( ~ (v1_abian(C))  & m1_subset_1(C, k4_ordinal1))  =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (r2_tarski(D, k1_relset_1(k4_ordinal1, k8_glib_001(A, B, 1, C))) & r1_xxreal_0(C, k3_finseq_1(B)))  => k1_funct_1(k8_glib_001(A, B, 1, C), D)=k1_funct_1(B, D)) ) ) ) ) ) ) ) ) ).
fof(t47_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  ( ( ~ (v1_abian(C))  & m1_subset_1(C, k4_ordinal1))  =>  (! [D] :  ( ( ~ (v1_abian(D))  & m1_subset_1(D, k4_ordinal1))  =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( (r1_xxreal_0(C, D) &  (r1_xxreal_0(D, k3_finseq_1(B)) & r2_tarski(E, k1_relset_1(k4_ordinal1, k8_glib_001(A, B, C, D)))) )  =>  (k1_funct_1(k8_glib_001(A, B, C, D), E)=k1_funct_1(B, k6_xcmplx_0(k1_nat_1(C, E), 1)) & r2_tarski(k6_xcmplx_0(k1_nat_1(C, E), 1), k1_relset_1(k4_ordinal1, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (! [C] :  (m3_glib_001(C, A) =>  (! [D] :  (m3_glib_001(D, B) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (C=D => k8_glib_001(A, C, E, F)=k8_glib_001(B, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  ( ( ~ (v1_abian(C))  & m1_subset_1(C, k4_ordinal1))  =>  (! [D] :  ( ( ~ (v1_abian(D))  & m1_subset_1(D, k4_ordinal1))  =>  ( (r1_xxreal_0(C, D) &  (r1_xxreal_0(D, k3_finseq_1(B)) & k1_funct_1(B, C)=k1_funct_1(B, D)) )  => k1_nat_1(k3_finseq_1(k20_glib_001(A, B, C, D)), D)=k1_nat_1(k3_finseq_1(B), C)) ) ) ) ) ) ) ) ) ).
fof(t50_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (! [D] :  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r1_glib_001(A, C, D, B) => r1_glib_001(A, C, D, k20_glib_001(A, B, F, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => r1_xxreal_0(k3_finseq_1(k20_glib_001(A, B, D, C)), k3_finseq_1(B))) ) ) ) ) ) ) ) ).
fof(t52_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => r2_relset_1(k4_ordinal1, k2_xboole_0(k6_glib_000(A), k7_glib_000(A)), k20_glib_001(A, B, C, C), B)) ) ) ) ) ) ).
fof(t53_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  ( ( ~ (v1_abian(C))  & m1_subset_1(C, k4_ordinal1))  =>  (! [D] :  ( ( ~ (v1_abian(D))  & m1_subset_1(D, k4_ordinal1))  =>  ( (r1_xxreal_0(C, D) &  (r1_xxreal_0(D, k3_finseq_1(B)) & k1_funct_1(B, C)=k1_funct_1(B, D)) )  => k4_glib_001(A, k8_glib_001(A, B, 1, C))=k3_glib_001(A, k8_glib_001(A, B, D, k3_finseq_1(B)))) ) ) ) ) ) ) ) ) ).
fof(t54_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  ( ( ~ (v1_abian(C))  & m1_subset_1(C, k4_ordinal1))  =>  (! [D] :  ( ( ~ (v1_abian(D))  & m1_subset_1(D, k4_ordinal1))  =>  ( (r1_xxreal_0(C, D) &  (r1_xxreal_0(D, k3_finseq_1(B)) & k1_funct_1(B, C)=k1_funct_1(B, D)) )  =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r2_tarski(E, k2_finseq_1(C)) => k1_funct_1(k20_glib_001(A, B, C, D), E)=k1_funct_1(B, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  ( ( ~ (v1_abian(C))  & m1_subset_1(C, k4_ordinal1))  =>  (! [D] :  ( ( ~ (v1_abian(D))  & m1_subset_1(D, k4_ordinal1))  =>  ( (r1_xxreal_0(C, D) &  (r1_xxreal_0(D, k3_finseq_1(B)) & k1_funct_1(B, C)=k1_funct_1(B, D)) )  =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( (r1_xxreal_0(C, E) & r1_xxreal_0(E, k3_finseq_1(k20_glib_001(A, B, C, D))))  =>  (k1_funct_1(k20_glib_001(A, B, C, D), E)=k1_funct_1(B, k2_xcmplx_0(k6_xcmplx_0(E, C), D)) &  (m1_subset_1(k2_xcmplx_0(k6_xcmplx_0(E, C), D), k4_ordinal1) & r1_xxreal_0(k2_xcmplx_0(k6_xcmplx_0(E, C), D), k3_finseq_1(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  ( ( ~ (v1_abian(C))  & m1_subset_1(C, k4_ordinal1))  =>  (! [D] :  ( ( ~ (v1_abian(D))  & m1_subset_1(D, k4_ordinal1))  =>  ( (r1_xxreal_0(C, D) &  (r1_xxreal_0(D, k3_finseq_1(B)) & k1_funct_1(B, C)=k1_funct_1(B, D)) )  => k3_finseq_1(k20_glib_001(A, B, C, D))=k6_xcmplx_0(k1_nat_1(k3_finseq_1(B), C), D)) ) ) ) ) ) ) ) ) ).
fof(t57_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (k1_funct_1(B, C)=k4_glib_001(A, B) => r2_relset_1(k4_ordinal1, k2_xboole_0(k6_glib_000(A), k7_glib_000(A)), k20_glib_001(A, B, C, k3_finseq_1(B)), k8_glib_001(A, B, 1, C))) ) ) ) ) ) ) ).
fof(t58_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (k3_glib_001(A, B)=k1_funct_1(B, C) => r2_relset_1(k4_ordinal1, k2_xboole_0(k6_glib_000(A), k7_glib_000(A)), k20_glib_001(A, B, 1, C), k8_glib_001(A, B, C, k3_finseq_1(B)))) ) ) ) ) ) ) ).
fof(t59_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (k3_glib_001(A, k20_glib_001(A, B, D, C))=k3_glib_001(A, B) & k4_glib_001(A, k20_glib_001(A, B, D, C))=k4_glib_001(A, B)) ) ) ) ) ) ) ) ) ).
fof(t60_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  ( ( ~ (v1_abian(C))  & m1_subset_1(C, k4_ordinal1))  =>  (! [D] :  ( ( ~ (v1_abian(D))  & m1_subset_1(D, k4_ordinal1))  =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ~ ( (r1_xxreal_0(C, D) &  (r1_xxreal_0(D, k3_finseq_1(B)) &  (k1_funct_1(B, C)=k1_funct_1(B, D) &  (r2_tarski(E, k1_relset_1(k4_ordinal1, k20_glib_001(A, B, C, D))) &  ( ~ (r2_tarski(E, k2_finseq_1(C)))  &  ~ ( (r1_xxreal_0(C, E) & r1_xxreal_0(E, k3_finseq_1(k20_glib_001(A, B, C, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (! [C] :  (m3_glib_001(C, A) =>  (! [D] :  (m3_glib_001(D, B) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (C=D => k20_glib_001(A, C, E, F)=k20_glib_001(B, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (! [D] :  (r1_glib_000(A, k4_glib_001(A, B), D, C) => k10_glib_001(A, B, C)=k7_finseq_1(B, k10_finseq_1(C, D))) ) ) ) ) ) ) ).
fof(t63_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (! [D] :  (r1_glib_000(A, k4_glib_001(A, B), D, C) =>  (k3_glib_001(A, k10_glib_001(A, B, C))=k3_glib_001(A, B) &  (k4_glib_001(A, k10_glib_001(A, B, C))=D & r1_glib_001(A, k3_glib_001(A, B), D, k10_glib_001(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t64_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (! [D] :  (r1_glib_000(A, k4_glib_001(A, B), D, C) => k3_finseq_1(k10_glib_001(A, B, C))=k1_nat_1(k3_finseq_1(B), 2)) ) ) ) ) ) ) ).
fof(t65_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (! [D] :  (r1_glib_000(A, k4_glib_001(A, B), D, C) =>  (k1_funct_1(k10_glib_001(A, B, C), k1_nat_1(k3_finseq_1(B), 1))=C &  (k1_funct_1(k10_glib_001(A, B, C), k1_nat_1(k3_finseq_1(B), 2))=D &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r2_tarski(E, k1_relset_1(k4_ordinal1, B)) => k1_funct_1(k10_glib_001(A, B, C), E)=k1_funct_1(B, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( (r1_glib_001(A, D, E, B) & r1_glib_000(A, E, F, C))  => r1_glib_001(A, D, F, k10_glib_001(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t67_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) => r1_xxreal_0(1, k3_finseq_1(k11_glib_001(A, B)))) ) ) ) ).
fof(t68_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  ( ( ~ (v1_abian(C))  & m1_subset_1(C, k4_ordinal1))  =>  (r1_xxreal_0(C, k3_finseq_1(B)) =>  (k6_xcmplx_0(k2_nat_1(2, k3_nat_d(k1_nat_1(C, 1), 2)), 1)=C &  (r1_xxreal_0(1, k3_nat_d(k1_nat_1(C, 1), 2)) & r1_xxreal_0(k3_nat_d(k1_nat_1(C, 1), 2), k3_finseq_1(k11_glib_001(A, B)))) ) ) ) ) ) ) ) ) ).
fof(t69_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) => r2_relset_1(k4_ordinal1, k6_glib_000(A), k11_glib_001(A, k1_glib_001(A, B)), k12_finseq_1(k6_glib_000(A), B))) ) ) ) ).
fof(t70_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (! [D] :  (r1_glib_000(A, C, D, B) => k11_glib_001(A, k2_glib_001(A, C, D, B))=k10_finseq_1(C, D)) ) ) ) ) ) ).
fof(t71_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (k3_glib_001(A, B)=k1_funct_1(k11_glib_001(A, B), 1) & k4_glib_001(A, B)=k1_funct_1(k11_glib_001(A, B), k3_finseq_1(k11_glib_001(A, B)))) ) ) ) ) ).
fof(t72_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  ( ( ~ (v1_abian(C))  & m1_subset_1(C, k4_ordinal1))  =>  (r1_xxreal_0(C, k3_finseq_1(B)) => k5_glib_001(A, B, C)=k1_funct_1(k11_glib_001(A, B), k3_nat_d(k1_nat_1(C, 1), 2))) ) ) ) ) ) ) ).
fof(t73_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r2_tarski(C, k1_relset_1(k4_ordinal1, k11_glib_001(A, B))) <=> r2_tarski(k6_xcmplx_0(k2_nat_1(2, C), 1), k1_relset_1(k4_ordinal1, B))) ) ) ) ) ) ) ).
fof(t74_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => r1_relset_1(k4_ordinal1, k6_glib_000(A), k11_glib_001(A, k8_glib_001(A, B, 1, C)), k11_glib_001(A, B))) ) ) ) ) ) ).
fof(t75_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (! [D] :  (r1_glib_000(A, k4_glib_001(A, B), D, C) => k11_glib_001(A, k10_glib_001(A, B, C))=k7_finseq_1(k11_glib_001(A, B), k9_finseq_1(D))) ) ) ) ) ) ) ).
fof(t76_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (! [C] :  (m3_glib_001(C, A) =>  (! [D] :  (m3_glib_001(D, B) =>  (C=D => k11_glib_001(A, C)=k11_glib_001(B, D)) ) ) ) ) ) ) ) ) ).
fof(t77_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  ( (v1_abian(C) & m1_subset_1(C, k4_ordinal1))  =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, k3_finseq_1(B)))  =>  (r2_tarski(k3_nat_d(C, 2), k1_relset_1(k4_ordinal1, k12_glib_001(A, B))) & k1_funct_1(B, C)=k1_funct_1(k12_glib_001(A, B), k3_nat_d(C, 2))) ) ) ) ) ) ) ) ).
fof(t78_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r2_tarski(C, k1_relset_1(k4_ordinal1, k12_glib_001(A, B))) <=> r2_tarski(k2_nat_1(2, C), k1_relset_1(k4_ordinal1, B))) ) ) ) ) ) ) ).
fof(t79_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r2_tarski(C, k1_relset_1(k4_ordinal1, k12_glib_001(A, B))) => r2_tarski(k1_funct_1(k12_glib_001(A, B), C), k7_glib_000(A))) ) ) ) ) ) ) ).
fof(t80_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (? [C] :  ( (v1_abian(C) & m1_subset_1(C, k4_ordinal1))  &  (C=k6_xcmplx_0(k3_finseq_1(B), 1) & k3_finseq_1(k12_glib_001(A, B))=k3_nat_d(C, 2)) ) ) ) ) ) ) ).
fof(t81_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => r1_relset_1(k4_ordinal1, k7_glib_000(A), k12_glib_001(A, k8_glib_001(A, B, 1, C)), k12_glib_001(A, B))) ) ) ) ) ) ).
fof(t82_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (! [D] :  (r1_glib_000(A, k4_glib_001(A, B), D, C) => k12_glib_001(A, k10_glib_001(A, B, C))=k7_finseq_1(k12_glib_001(A, B), k9_finseq_1(C))) ) ) ) ) ) ) ).
fof(t83_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (! [D] :  (r1_glib_000(A, C, D, B) <=> k12_glib_001(A, k2_glib_001(A, C, D, B))=k9_finseq_1(B)) ) ) ) ) ) ).
fof(t84_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) => r2_relset_1(k4_ordinal1, k7_glib_000(A), k12_glib_001(A, k6_glib_001(A, B)), k4_finseq_5(k7_glib_000(A), k12_glib_001(A, B)))) ) ) ) ).
fof(t85_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m3_glib_001(C, A) =>  (k4_glib_001(A, B)=k3_glib_001(A, C) => r2_relset_1(k4_ordinal1, k7_glib_000(A), k12_glib_001(A, k7_glib_001(A, B, C)), k8_finseq_1(k7_glib_000(A), k12_glib_001(A, B), k12_glib_001(A, C)))) ) ) ) ) ) ) ).
fof(t86_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (! [C] :  (m3_glib_001(C, A) =>  (! [D] :  (m3_glib_001(D, B) =>  (C=D => k12_glib_001(A, C)=k12_glib_001(B, D)) ) ) ) ) ) ) ) ) ).
fof(t87_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (r2_tarski(C, k13_glib_001(A, B)) <=>  (? [D] :  ( ( ~ (v1_abian(D))  & m1_subset_1(D, k4_ordinal1))  &  (r1_xxreal_0(D, k3_finseq_1(B)) & k1_funct_1(B, D)=C) ) ) ) ) ) ) ) ) ).
fof(t88_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (r2_tarski(k3_glib_001(A, B), k13_glib_001(A, B)) & r2_tarski(k4_glib_001(A, B), k13_glib_001(A, B))) ) ) ) ) ).
fof(t89_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  ( ( ~ (v1_abian(C))  & m1_subset_1(C, k4_ordinal1))  =>  (r1_xxreal_0(C, k3_finseq_1(B)) => r2_tarski(k5_glib_001(A, B, C), k13_glib_001(A, B))) ) ) ) ) ) ) ).
fof(t90_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) => k13_glib_001(A, k1_glib_001(A, B))=k6_domain_1(k6_glib_000(A), B)) ) ) ) ).
fof(t91_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (! [D] :  (r1_glib_000(A, C, D, B) => k13_glib_001(A, k2_glib_001(A, C, D, B))=k2_tarski(C, D)) ) ) ) ) ) ).
fof(t92_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) => k13_glib_001(A, B)=k13_glib_001(A, k6_glib_001(A, B))) ) ) ) ).
fof(t93_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m3_glib_001(C, A) =>  (k4_glib_001(A, B)=k3_glib_001(A, C) => k13_glib_001(A, k7_glib_001(A, B, C))=k4_subset_1(k6_glib_000(A), k13_glib_001(A, B), k13_glib_001(A, C))) ) ) ) ) ) ) ).
fof(t94_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  ( ( ~ (v1_abian(C))  & m1_subset_1(C, k4_ordinal1))  =>  (! [D] :  ( ( ~ (v1_abian(D))  & m1_subset_1(D, k4_ordinal1))  =>  ( (r1_xxreal_0(C, D) & r1_xxreal_0(D, k3_finseq_1(B)))  => r1_tarski(k13_glib_001(A, k8_glib_001(A, B, C, D)), k13_glib_001(A, B))) ) ) ) ) ) ) ) ) ).
fof(t95_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (! [D] :  (r1_glib_000(A, k4_glib_001(A, B), D, C) => k13_glib_001(A, k10_glib_001(A, B, C))=k2_xboole_0(k13_glib_001(A, B), k1_tarski(D))) ) ) ) ) ) ) ).
fof(t96_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (! [D] :  (r1_glib_000(A, k4_glib_001(A, B), D, C) =>  (r2_tarski(D, k13_glib_001(A, B)) | k4_card_1(k13_glib_001(A, k10_glib_001(A, B, C)))=k1_nat_1(k4_card_1(k13_glib_001(A, B)), 1)) ) ) ) ) ) ) ) ).
fof(t97_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (! [D] :  ~ ( (r2_tarski(C, k13_glib_001(A, B)) &  (r2_tarski(D, k13_glib_001(A, B)) &  (! [E] :  (m3_glib_001(E, A) =>  ~ (r1_glib_001(A, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t98_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (! [C] :  (m3_glib_001(C, A) =>  (! [D] :  (m3_glib_001(D, B) =>  (C=D => k13_glib_001(A, C)=k13_glib_001(B, D)) ) ) ) ) ) ) ) ) ).
fof(t99_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (r2_tarski(C, k14_glib_001(A, B)) <=>  (? [D] :  ( (v1_abian(D) & m1_subset_1(D, k4_ordinal1))  &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k3_finseq_1(B)) & k1_funct_1(B, D)=C) ) ) ) ) ) ) ) ) ) ).
fof(t100_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (r2_tarski(C, k14_glib_001(A, B)) <=>  (? [D] :  ( ( ~ (v1_abian(D))  & m1_subset_1(D, k4_ordinal1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(B), D))  & k1_funct_1(B, k1_nat_1(D, 1))=C) ) ) ) ) ) ) ) ) ).
fof(t101_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) => k2_relset_1(k2_xboole_0(k6_glib_000(A), k7_glib_000(A)), B)=k2_xboole_0(k13_glib_001(A, B), k14_glib_001(A, B))) ) ) ) ).
fof(t102_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m3_glib_001(C, A) =>  (k4_glib_001(A, B)=k3_glib_001(A, C) => k14_glib_001(A, k7_glib_001(A, B, C))=k4_subset_1(k7_glib_000(A), k14_glib_001(A, B), k14_glib_001(A, C))) ) ) ) ) ) ) ).
fof(t103_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  ~ ( (r2_tarski(C, k14_glib_001(A, B)) &  (! [D] :  (m1_subset_1(D, k6_glib_000(A)) =>  (! [E] :  (m1_subset_1(E, k6_glib_000(A)) =>  (! [F] :  ( ( ~ (v1_abian(F))  & m1_subset_1(F, k4_ordinal1))  =>  ~ ( (r1_xxreal_0(k1_nat_1(F, 2), k3_finseq_1(B)) &  (D=k1_funct_1(B, F) &  (C=k1_funct_1(B, k1_nat_1(F, 1)) &  (E=k1_funct_1(B, k1_nat_1(F, 2)) & r1_glib_000(A, D, E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t104_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (r2_tarski(C, k14_glib_001(A, B)) <=>  (? [D] :  (m1_subset_1(D, k4_ordinal1) &  (r2_tarski(D, k1_relset_1(k4_ordinal1, k12_glib_001(A, B))) & k1_funct_1(k12_glib_001(A, B), D)=C) ) ) ) ) ) ) ) ) ).
fof(t105_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (! [D] :  (! [E] :  ( (r2_tarski(C, k14_glib_001(A, B)) & r1_glib_000(A, D, E, C))  =>  (r2_tarski(D, k13_glib_001(A, B)) & r2_tarski(E, k13_glib_001(A, B))) ) ) ) ) ) ) ) ) ).
fof(t106_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => r1_tarski(k14_glib_001(A, k8_glib_001(A, B, D, C)), k14_glib_001(A, B))) ) ) ) ) ) ) ) ).
fof(t107_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) => k14_glib_001(A, B)=k14_glib_001(A, k6_glib_001(A, B))) ) ) ) ).
fof(t108_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (! [D] :  (r1_glib_000(A, C, D, B) <=> k14_glib_001(A, k2_glib_001(A, C, D, B))=k1_tarski(B)) ) ) ) ) ) ).
fof(t109_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) => r1_tarski(k14_glib_001(A, B), k21_glib_000(A, k13_glib_001(A, B)))) ) ) ) ).
fof(t110_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (! [C] :  (m3_glib_001(C, A) =>  (! [D] :  (m3_glib_001(D, B) =>  (C=D => k14_glib_001(A, C)=k14_glib_001(B, D)) ) ) ) ) ) ) ) ) ).
fof(t111_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (! [D] :  (r1_glib_000(A, k4_glib_001(A, B), D, C) => k14_glib_001(A, k10_glib_001(A, B, C))=k2_xboole_0(k14_glib_001(A, B), k1_tarski(C))) ) ) ) ) ) ) ).
fof(t112_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) => k3_finseq_1(B)=k1_nat_1(k2_nat_1(2, k15_glib_001(A, B)), 1)) ) ) ) ).
fof(t113_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m3_glib_001(C, A) =>  (k3_finseq_1(B)=k3_finseq_1(C) <=> k15_glib_001(A, B)=k15_glib_001(A, C)) ) ) ) ) ) ) ).
fof(t114_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (! [C] :  (m3_glib_001(C, A) =>  (! [D] :  (m3_glib_001(D, B) =>  (C=D => k15_glib_001(A, C)=k15_glib_001(B, D)) ) ) ) ) ) ) ) ) ).
fof(t115_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  ( ( ~ (v1_abian(C))  & m1_subset_1(C, k4_ordinal1))  =>  (r1_xxreal_0(C, k3_finseq_1(B)) =>  (r1_xxreal_0(k16_glib_001(A, B, k1_funct_1(B, C)), C) & r1_xxreal_0(C, k18_glib_001(A, B, k1_funct_1(B, C)))) ) ) ) ) ) ) ) ).
fof(t116_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (! [C] :  (m3_glib_001(C, A) =>  (! [D] :  (m3_glib_001(D, B) =>  (! [E] :  (C=D =>  (k16_glib_001(A, C, E)=k16_glib_001(B, D, E) & k18_glib_001(A, C, E)=k18_glib_001(B, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t117_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  ( ( ~ (v1_abian(C))  & m1_subset_1(C, k4_ordinal1))  =>  (r1_xxreal_0(C, k3_finseq_1(B)) =>  (r1_xxreal_0(k17_glib_001(A, B, C), C) & r1_xxreal_0(C, k19_glib_001(A, B, C))) ) ) ) ) ) ) ) ).
fof(t118_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (v1_glib_001(B, A) <=> k1_funct_1(B, 1)=k1_funct_1(B, k3_finseq_1(B))) ) ) ) ) ).
fof(t119_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (v1_glib_001(B, A) <=>  (? [C] : r1_glib_001(A, C, C, B)) ) ) ) ) ) ).
fof(t120_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (v1_glib_001(B, A) <=> v1_glib_001(k6_glib_001(A, B), A)) ) ) ) ) ).
fof(t121_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (! [C] :  (m3_glib_001(C, A) =>  (! [D] :  (m3_glib_001(D, B) =>  ( (C=D & v1_glib_001(C, A))  => v1_glib_001(D, B)) ) ) ) ) ) ) ) ) ).
fof(t122_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (v2_glib_001(B, A) <=>  (! [C] :  ( ( ~ (v1_abian(C))  & m1_subset_1(C, k4_ordinal1))  =>  ( ~ (r1_xxreal_0(k3_finseq_1(B), C))  => r2_glib_000(A, k1_funct_1(B, C), k1_funct_1(B, k1_nat_1(C, 2)), k1_funct_1(B, k1_nat_1(C, 1)))) ) ) ) ) ) ) ) ).
fof(t123_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( (v2_glib_001(B, A) &  (r1_glib_001(A, D, E, B) & r2_glib_000(A, E, F, C)) )  =>  (v2_glib_001(k10_glib_001(A, B, C), A) & r1_glib_001(A, D, F, k10_glib_001(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t124_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v2_glib_001(B, A) & m3_glib_001(B, A))  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => v2_glib_001(k8_glib_001(A, B, C, D), A)) ) ) ) ) ) ) ) ).
fof(t125_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  ( ~ (v3_glib_001(B, A))  <=> r1_xxreal_0(3, k3_finseq_1(B))) ) ) ) ) ).
fof(t126_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  ( ~ ( ( ~ (v3_glib_001(B, A))  & k3_finseq_1(B)=1) )  &  ~ ( ( ~ (k3_finseq_1(B)=1)  & v3_glib_001(B, A)) ) ) ) ) ) ) ).
fof(t127_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  ~ ( ( ~ (k3_glib_001(A, B)=k4_glib_001(A, B))  & v3_glib_001(B, A)) ) ) ) ) ) ).
fof(t128_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (v3_glib_001(B, A) <=>  (? [C] :  (m1_subset_1(C, k6_glib_000(A)) & r2_relset_1(k4_ordinal1, k2_xboole_0(k6_glib_000(A), k7_glib_000(A)), B, k1_glib_001(A, C))) ) ) ) ) ) ) ).
fof(t129_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (v3_glib_001(B, A) <=> v3_glib_001(k6_glib_001(A, B), A)) ) ) ) ) ).
fof(t130_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m3_glib_001(C, A) =>  (v3_glib_001(C, A) => r2_relset_1(k4_ordinal1, k2_xboole_0(k6_glib_000(A), k7_glib_000(A)), k7_glib_001(A, B, C), B)) ) ) ) ) ) ) ).
fof(t131_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  ( ( ~ (v1_abian(C))  & m1_subset_1(C, k4_ordinal1))  =>  (! [D] :  ( ( ~ (v1_abian(D))  & m1_subset_1(D, k4_ordinal1))  =>  ( (r1_xxreal_0(C, D) & r1_xxreal_0(D, k3_finseq_1(B)))  =>  (v3_glib_001(k8_glib_001(A, B, C, D), A) <=> C=D) ) ) ) ) ) ) ) ) ) ).
fof(t132_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (! [D] :  ~ ( (r1_glib_000(A, k4_glib_001(A, B), D, C) & v3_glib_001(k10_glib_001(A, B, C), A)) ) ) ) ) ) ) ) ).
fof(t133_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  ~ ( ( ~ (v3_glib_001(B, A))  &  (! [C] :  ( ( ~ (v1_abian(C))  & m1_subset_1(C, k4_ordinal1))  =>  ~ ( (C=k6_xcmplx_0(k3_finseq_1(B), 2) & r2_relset_1(k4_ordinal1, k2_xboole_0(k6_glib_000(A), k7_glib_000(A)), k10_glib_001(A, k8_glib_001(A, B, 1, C), k1_funct_1(B, k1_nat_1(C, 1))), B)) ) ) ) ) ) ) ) ) ) ).
fof(t134_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m3_glib_001(C, A) =>  (r1_tarski(k14_glib_001(A, C), k14_glib_001(A, B)) =>  (v3_glib_001(C, A) | r1_tarski(k13_glib_001(A, C), k13_glib_001(A, B))) ) ) ) ) ) ) ) ).
fof(t135_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  ( ~ (v3_glib_001(B, A))  =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  ~ ( (r2_tarski(C, k13_glib_001(A, B)) & v10_glib_000(C, A)) ) ) ) ) ) ) ) ) ).
fof(t136_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (v3_glib_001(B, A) <=> k14_glib_001(A, B)=k1_xboole_0) ) ) ) ) ).
fof(t137_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (! [C] :  (m3_glib_001(C, A) =>  (! [D] :  (m3_glib_001(D, B) =>  ( (C=D & v3_glib_001(C, A))  => v3_glib_001(D, B)) ) ) ) ) ) ) ) ) ).
fof(t138_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (v4_glib_001(B, A) <=>  (! [C] :  ( (v1_abian(C) & m1_subset_1(C, k4_ordinal1))  =>  (! [D] :  ( (v1_abian(D) & m1_subset_1(D, k4_ordinal1))  =>  ~ ( (r1_xxreal_0(1, C) &  ( ~ (r1_xxreal_0(D, C))  &  (r1_xxreal_0(D, k3_finseq_1(B)) & k1_funct_1(B, C)=k1_funct_1(B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t139_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (r1_xxreal_0(k3_finseq_1(B), 3) => v4_glib_001(B, A)) ) ) ) ) ).
fof(t140_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (v4_glib_001(B, A) <=> v4_glib_001(k6_glib_001(A, B), A)) ) ) ) ) ).
fof(t141_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v4_glib_001(B, A) & m3_glib_001(B, A))  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => v4_glib_001(k8_glib_001(A, B, C, D), A)) ) ) ) ) ) ) ) ).
fof(t142_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v4_glib_001(B, A) & m3_glib_001(B, A))  =>  (! [C] :  (r2_tarski(C, k28_glib_000(A, k4_glib_001(A, B))) =>  (r2_tarski(C, k14_glib_001(A, B)) | v4_glib_001(k10_glib_001(A, B, C), A)) ) ) ) ) ) ) ).
fof(t143_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v4_glib_001(B, A) & m3_glib_001(B, A))  =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  ~ ( (r2_tarski(C, k13_glib_001(A, B)) &  (v11_glib_000(C, A) &  ( ~ (C=k3_glib_001(A, B))  &  ~ (C=k4_glib_001(A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t144_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  ( (v4_glib_001(B, A) & m3_glib_001(B, A))  => r1_xxreal_0(k3_finseq_1(k12_glib_001(A, B)), k17_glib_000(A))) ) ) ) ).
fof(t145_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (r1_xxreal_0(k3_finseq_1(B), 3) => v5_glib_001(B, A)) ) ) ) ) ).
fof(t146_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  ( (! [C] :  ( ( ~ (v1_abian(C))  & m1_subset_1(C, k4_ordinal1))  =>  (! [D] :  ( ( ~ (v1_abian(D))  & m1_subset_1(D, k4_ordinal1))  =>  ( (r1_xxreal_0(C, k3_finseq_1(B)) &  (r1_xxreal_0(D, k3_finseq_1(B)) & k1_funct_1(B, C)=k1_funct_1(B, D)) )  => C=D) ) ) ) )  => v5_glib_001(B, A)) ) ) ) ) ).
fof(t147_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v5_glib_001(B, A) & m3_glib_001(B, A))  =>  ( ~ (v1_glib_001(B, A))  =>  (! [C] :  ( ( ~ (v1_abian(C))  & m1_subset_1(C, k4_ordinal1))  =>  (! [D] :  ( ( ~ (v1_abian(D))  & m1_subset_1(D, k4_ordinal1))  =>  ~ ( ( ~ (r1_xxreal_0(D, C))  &  (r1_xxreal_0(D, k3_finseq_1(B)) & k1_funct_1(B, C)=k1_funct_1(B, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t148_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (v5_glib_001(B, A) <=> v5_glib_001(k6_glib_001(A, B), A)) ) ) ) ) ).
fof(t149_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v5_glib_001(B, A) & m3_glib_001(B, A))  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => v5_glib_001(k8_glib_001(A, B, C, D), A)) ) ) ) ) ) ) ) ).
fof(t150_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v5_glib_001(B, A) & m3_glib_001(B, A))  =>  (! [C] :  (! [D] :  ( (r1_glib_000(A, k4_glib_001(A, B), D, C) &  (! [E] :  ( ( ~ (v1_abian(E))  & m1_subset_1(E, k4_ordinal1))  =>  ~ ( ( ~ (r1_xxreal_0(E, 1))  &  (r1_xxreal_0(E, k3_finseq_1(B)) & k1_funct_1(B, E)=D) ) ) ) ) )  =>  (r2_hidden(C, k14_glib_001(A, B)) |  ( ( ~ (v3_glib_001(B, A))  & v1_glib_001(B, A))  | v5_glib_001(k10_glib_001(A, B, C), A)) ) ) ) ) ) ) ) ) ).
fof(t151_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v5_glib_001(B, A) & m3_glib_001(B, A))  =>  (! [C] :  (! [D] :  (r1_glib_000(A, k4_glib_001(A, B), D, C) =>  (r2_hidden(D, k13_glib_001(A, B)) |  ( ( ~ (v3_glib_001(B, A))  & v1_glib_001(B, A))  | v5_glib_001(k10_glib_001(A, B, C), A)) ) ) ) ) ) ) ) ) ).
fof(t152_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  ( (! [C] :  ( ( ~ (v1_abian(C))  & m1_subset_1(C, k4_ordinal1))  =>  (r1_xxreal_0(C, k3_finseq_1(B)) => k16_glib_001(A, B, k1_funct_1(B, C))=k18_glib_001(A, B, k1_funct_1(B, C))) ) )  => v5_glib_001(B, A)) ) ) ) ) ).
fof(t153_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  ( (! [C] :  ( ( ~ (v1_abian(C))  & m1_subset_1(C, k4_ordinal1))  =>  (r1_xxreal_0(C, k3_finseq_1(B)) => k19_glib_001(A, B, C)=C) ) )  => v5_glib_001(B, A)) ) ) ) ) ).
fof(t154_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  ( (v5_glib_001(B, A) & m3_glib_001(B, A))  => r1_xxreal_0(k3_finseq_1(k11_glib_001(A, B)), k1_nat_1(k15_glib_000(A), 1))) ) ) ) ).
fof(t155_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v6_glib_001(B, A) & m3_glib_001(B, A))  =>  (! [C] :  (! [D] :  (r1_glib_000(A, k4_glib_001(A, B), D, C) =>  (r2_hidden(D, k13_glib_001(A, B)) | v6_glib_001(k10_glib_001(A, B, C), A)) ) ) ) ) ) ) ) ).
fof(t156_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (r1_glib_000(A, C, C, B) => v8_glib_001(k2_glib_001(A, C, C, B), A)) ) ) ) ) ).
fof(t157_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (! [D] :  (! [E] :  ~ ( (r1_glib_000(A, D, E, C) &  (r2_tarski(C, k14_glib_001(A, B)) &  (v8_glib_001(B, A) &  (! [F] :  (m3_glib_001(F, A) =>  ~ ( (r1_glib_001(A, D, E, F) &  ~ (r2_tarski(C, k14_glib_001(A, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t158_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) => m4_glib_001(B, A, B)) ) ) ) ).
fof(t159_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m4_glib_001(C, A, B) =>  (! [D] :  (m4_glib_001(D, A, C) => m4_glib_001(D, A, B)) ) ) ) ) ) ) ) ).
fof(t160_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m3_glib_001(C, A) =>  (! [D] :  (! [E] :  (m4_glib_001(B, A, C) =>  (r1_glib_001(A, D, E, B) <=> r1_glib_001(A, D, E, C)) ) ) ) ) ) ) ) ) ) ).
fof(t161_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m3_glib_001(C, A) =>  (m4_glib_001(B, A, C) =>  (k3_glib_001(A, B)=k3_glib_001(A, C) & k4_glib_001(A, B)=k4_glib_001(A, C)) ) ) ) ) ) ) ) ).
fof(t162_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m3_glib_001(C, A) =>  (m4_glib_001(B, A, C) => r1_xxreal_0(k3_finseq_1(B), k3_finseq_1(C))) ) ) ) ) ) ) ).
fof(t163_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m3_glib_001(C, A) =>  (m4_glib_001(B, A, C) =>  (r1_tarski(k14_glib_001(A, B), k14_glib_001(A, C)) & r1_tarski(k13_glib_001(A, B), k13_glib_001(A, C))) ) ) ) ) ) ) ) ).
fof(t164_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m3_glib_001(C, A) =>  (m4_glib_001(B, A, C) =>  (! [D] :  ( ( ~ (v1_abian(D))  & m1_subset_1(D, k4_ordinal1))  =>  ~ ( (r1_xxreal_0(D, k3_finseq_1(B)) &  (! [E] :  ( ( ~ (v1_abian(E))  & m1_subset_1(E, k4_ordinal1))  =>  ~ ( (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, k3_finseq_1(C)) & k1_funct_1(B, D)=k1_funct_1(C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t165_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m3_glib_001(C, A) =>  (m4_glib_001(B, A, C) =>  (! [D] :  ( (v1_abian(D) & m1_subset_1(D, k4_ordinal1))  =>  ~ ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k3_finseq_1(B)) &  (! [E] :  ( (v1_abian(E) & m1_subset_1(E, k4_ordinal1))  =>  ~ ( (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, k3_finseq_1(C)) & k1_funct_1(B, D)=k1_funct_1(C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t166_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v4_glib_001(B, A) & m3_glib_001(B, A))  =>  ~ ( ( ~ (v3_glib_001(B, A))  &  (! [C] :  ( (v5_glib_001(C, A) & m4_glib_001(C, A, B))  => v3_glib_001(C, A)) ) ) ) ) ) ) ) ).
fof(t167_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  (! [C] :  (m3_glib_001(C, B) => m3_glib_001(C, A)) ) ) ) ) ) ).
fof(t168_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  (! [C] :  (m3_glib_001(C, A) =>  ( (v3_glib_001(C, A) & r2_tarski(k3_glib_001(A, C), k24_glib_000(A, B)))  => m3_glib_001(C, B)) ) ) ) ) ) ) ).
fof(t169_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  (! [C] :  (m3_glib_001(C, A) =>  (r1_tarski(k14_glib_001(A, C), k25_glib_000(A, B)) =>  (v3_glib_001(C, A) | m3_glib_001(C, B)) ) ) ) ) ) ) ) ).
fof(t170_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  (! [C] :  (m3_glib_001(C, A) =>  ( (r1_tarski(k13_glib_001(A, C), k24_glib_000(A, B)) & r1_tarski(k14_glib_001(A, C), k25_glib_000(A, B)))  => m3_glib_001(C, B)) ) ) ) ) ) ) ).
fof(t171_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  ~ (v4_glib_000(A)) ) ) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m2_glib_000(D, A, k6_subset_1(k6_glib_000(A), k1_tarski(C)), k21_glib_000(A, k6_subset_1(k6_glib_000(A), k1_tarski(C)))) =>  ( ~ (r2_tarski(C, k13_glib_001(A, B)))  => m3_glib_001(B, D)) ) ) ) ) ) ) ) ) ).
fof(t172_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (! [D] :  (m2_glib_000(D, A, k6_glib_000(A), k6_subset_1(k7_glib_000(A), k1_tarski(C))) =>  ( ~ (r2_tarski(C, k14_glib_001(A, B)))  => m3_glib_001(B, D)) ) ) ) ) ) ) ) ).
fof(t173_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  (! [C] :  (! [D] :  (! [E] :  (r1_glib_000(B, C, D, E) => k2_glib_001(A, C, D, E)=k2_glib_001(B, C, D, E)) ) ) ) ) ) ) ) ).
fof(t174_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  (! [C] :  (m3_glib_001(C, A) =>  (! [D] :  (m3_glib_001(D, B) =>  (! [E] :  ( (C=D & r2_tarski(E, k28_glib_000(B, k4_glib_001(B, D))))  => k10_glib_001(A, C, E)=k10_glib_001(B, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(t175_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  (! [C] :  (m3_glib_001(C, B) =>  ( (v1_glib_001(C, B) =>  (v1_glib_001(C, A) & m3_glib_001(C, A)) )  &  ( (v2_glib_001(C, B) =>  (v2_glib_001(C, A) & m3_glib_001(C, A)) )  &  ( (v3_glib_001(C, B) =>  (v3_glib_001(C, A) & m3_glib_001(C, A)) )  &  ( (v4_glib_001(C, B) =>  (v4_glib_001(C, A) & m3_glib_001(C, A)) )  &  ( (v5_glib_001(C, B) =>  (v5_glib_001(C, A) & m3_glib_001(C, A)) )  &  (v6_glib_001(C, B) =>  (v6_glib_001(C, A) & m3_glib_001(C, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t176_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  (! [C] :  (m3_glib_001(C, A) =>  (! [D] :  (m3_glib_001(D, B) =>  (C=D =>  ( (v1_glib_001(C, A) => v1_glib_001(D, B))  &  ( (v1_glib_001(D, B) => v1_glib_001(C, A))  &  ( (v2_glib_001(C, A) => v2_glib_001(D, B))  &  ( (v2_glib_001(D, B) => v2_glib_001(C, A))  &  ( (v3_glib_001(C, A) => v3_glib_001(D, B))  &  ( (v3_glib_001(D, B) => v3_glib_001(C, A))  &  ( (v4_glib_001(C, A) => v4_glib_001(D, B))  &  ( (v4_glib_001(D, B) => v4_glib_001(C, A))  &  ( (v5_glib_001(C, A) => v5_glib_001(D, B))  &  ( (v5_glib_001(D, B) => v5_glib_001(C, A))  &  ( (v6_glib_001(C, A) => v6_glib_001(D, B))  &  (v6_glib_001(D, B) => v6_glib_001(C, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t177_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (! [C] :  ( (r5_glib_000(A, B) & m1_glib_001(C, A))  => m1_glib_001(C, B)) ) ) ) ) ) ).
fof(t178_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (! [C] :  ( (r5_glib_000(A, B) & m2_glib_001(C, A))  => m2_glib_001(C, B)) ) ) ) ) ) ).
fof(t179_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (! [C] :  ( (r5_glib_000(A, B) & m3_glib_001(C, A))  => m3_glib_001(C, B)) ) ) ) ) ) ).
fof(t180_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (! [C] :  (! [D] :  (! [E] :  (r5_glib_000(A, B) => k2_glib_001(A, D, E, C)=k2_glib_001(B, D, E, C)) ) ) ) ) ) ) ) ).
fof(t181_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (! [C] :  (m3_glib_001(C, A) =>  (! [D] :  (m3_glib_001(D, B) =>  ( (r5_glib_000(A, B) & C=D)  =>  ( (v1_glib_001(C, A) => v1_glib_001(D, B))  &  ( (v1_glib_001(D, B) => v1_glib_001(C, A))  &  ( (v2_glib_001(C, A) => v2_glib_001(D, B))  &  ( (v2_glib_001(D, B) => v2_glib_001(C, A))  &  ( (v3_glib_001(C, A) => v3_glib_001(D, B))  &  ( (v3_glib_001(D, B) => v3_glib_001(C, A))  &  ( (v4_glib_001(C, A) => v4_glib_001(D, B))  &  ( (v4_glib_001(D, B) => v4_glib_001(C, A))  &  ( (v5_glib_001(C, A) => v5_glib_001(D, B))  &  ( (v5_glib_001(D, B) => v5_glib_001(C, A))  &  ( (v6_glib_001(C, A) => v6_glib_001(D, B))  &  (v6_glib_001(D, B) => v6_glib_001(C, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_m1_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_glib_001(B, A) => m2_finseq_1(B, k6_glib_000(A))) ) ) ) ).
fof(existence_m1_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (? [B] : m1_glib_001(B, A)) ) ) ).
fof(dt_m2_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m2_glib_001(B, A) => m2_finseq_1(B, k7_glib_000(A))) ) ) ) ).
fof(existence_m2_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (? [B] : m2_glib_001(B, A)) ) ) ).
fof(dt_m3_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) => m2_finseq_1(B, k2_xboole_0(k6_glib_000(A), k7_glib_000(A)))) ) ) ) ).
fof(existence_m3_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (? [B] : m3_glib_001(B, A)) ) ) ).
fof(dt_k1_glib_001, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m1_subset_1(B, k6_glib_000(A)))  => m3_glib_001(k1_glib_001(A, B), A)) ) ).
fof(dt_k2_glib_001, axiom,  (! [A, B, C, D] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  => m3_glib_001(k2_glib_001(A, B, C, D), A)) ) ).
fof(dt_k3_glib_001, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m3_glib_001(B, A))  => m1_subset_1(k3_glib_001(A, B), k6_glib_000(A))) ) ).
fof(dt_k4_glib_001, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m3_glib_001(B, A))  => m1_subset_1(k4_glib_001(A, B), k6_glib_000(A))) ) ).
fof(dt_k5_glib_001, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (m3_glib_001(B, A) & v7_ordinal1(C)) )  => m1_subset_1(k5_glib_001(A, B, C), k6_glib_000(A))) ) ).
fof(dt_k6_glib_001, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m3_glib_001(B, A))  => m3_glib_001(k6_glib_001(A, B), A)) ) ).
fof(involutiveness_k6_glib_001, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m3_glib_001(B, A))  => k6_glib_001(A, k6_glib_001(A, B))=B) ) ).
fof(dt_k7_glib_001, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (m3_glib_001(B, A) & m3_glib_001(C, A)) )  => m3_glib_001(k7_glib_001(A, B, C), A)) ) ).
fof(dt_k8_glib_001, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (m3_glib_001(B, A) &  (v7_ordinal1(C) & v7_ordinal1(D)) ) )  => m3_glib_001(k8_glib_001(A, B, C, D), A)) ) ).
fof(dt_k9_glib_001, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (m3_glib_001(B, A) &  (m1_subset_1(C, k4_ordinal1) & m1_subset_1(D, k4_ordinal1)) ) )  => m3_glib_001(k9_glib_001(A, B, C, D), A)) ) ).
fof(dt_k10_glib_001, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m3_glib_001(B, A))  => m3_glib_001(k10_glib_001(A, B, C), A)) ) ).
fof(dt_k11_glib_001, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m3_glib_001(B, A))  => m1_glib_001(k11_glib_001(A, B), A)) ) ).
fof(dt_k12_glib_001, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m3_glib_001(B, A))  => m2_glib_001(k12_glib_001(A, B), A)) ) ).
fof(dt_k13_glib_001, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m3_glib_001(B, A))  =>  (v1_finset_1(k13_glib_001(A, B)) & m1_subset_1(k13_glib_001(A, B), k1_zfmisc_1(k6_glib_000(A)))) ) ) ).
fof(dt_k14_glib_001, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m3_glib_001(B, A))  =>  (v1_finset_1(k14_glib_001(A, B)) & m1_subset_1(k14_glib_001(A, B), k1_zfmisc_1(k7_glib_000(A)))) ) ) ).
fof(dt_k15_glib_001, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m3_glib_001(B, A))  => m1_subset_1(k15_glib_001(A, B), k4_ordinal1)) ) ).
fof(dt_k16_glib_001, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m3_glib_001(B, A))  =>  ( ~ (v1_abian(k16_glib_001(A, B, C)))  & m1_subset_1(k16_glib_001(A, B, C), k4_ordinal1)) ) ) ).
fof(dt_k17_glib_001, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (m3_glib_001(B, A) & m1_subset_1(C, k4_ordinal1)) )  =>  ( ~ (v1_abian(k17_glib_001(A, B, C)))  & m1_subset_1(k17_glib_001(A, B, C), k4_ordinal1)) ) ) ).
fof(dt_k18_glib_001, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m3_glib_001(B, A))  =>  ( ~ (v1_abian(k18_glib_001(A, B, C)))  & m1_subset_1(k18_glib_001(A, B, C), k4_ordinal1)) ) ) ).
fof(dt_k19_glib_001, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (m3_glib_001(B, A) & m1_subset_1(C, k4_ordinal1)) )  =>  ( ~ (v1_abian(k19_glib_001(A, B, C)))  & m1_subset_1(k19_glib_001(A, B, C), k4_ordinal1)) ) ) ).
fof(dt_m4_glib_001, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m3_glib_001(B, A))  =>  (! [C] :  (m4_glib_001(C, A, B) => m3_glib_001(C, A)) ) ) ) ).
fof(existence_m4_glib_001, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m3_glib_001(B, A))  =>  (? [C] : m4_glib_001(C, A, B)) ) ) ).
fof(dt_k20_glib_001, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (m3_glib_001(B, A) &  (m1_subset_1(C, k4_ordinal1) & m1_subset_1(D, k4_ordinal1)) ) )  => m4_glib_001(k20_glib_001(A, B, C, D), A, B)) ) ).
fof(redefinition_k20_glib_001, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (m3_glib_001(B, A) &  (m1_subset_1(C, k4_ordinal1) & m1_subset_1(D, k4_ordinal1)) ) )  => k20_glib_001(A, B, C, D)=k9_glib_001(A, B, C, D)) ) ).
fof(dt_k21_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  ( ~ (v1_xboole_0(k21_glib_001(A)))  & m1_subset_1(k21_glib_001(A), k1_zfmisc_1(k13_finseq_1(k2_xboole_0(k6_glib_000(A), k7_glib_000(A)))))) ) ) ).
fof(dt_k22_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  ( ~ (v1_xboole_0(k22_glib_001(A)))  & m1_subset_1(k22_glib_001(A), k1_zfmisc_1(k21_glib_001(A)))) ) ) ).
fof(dt_k23_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  ( ~ (v1_xboole_0(k23_glib_001(A)))  & m1_subset_1(k23_glib_001(A), k1_zfmisc_1(k22_glib_001(A)))) ) ) ).
fof(dt_k24_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  ( ~ (v1_xboole_0(k24_glib_001(A)))  & m1_subset_1(k24_glib_001(A), k1_zfmisc_1(k21_glib_001(A)))) ) ) ).
fof(dt_k25_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  ( ~ (v1_xboole_0(k25_glib_001(A)))  & m1_subset_1(k25_glib_001(A), k1_zfmisc_1(k22_glib_001(A)))) ) ) ).
fof(dt_k26_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  ( ~ (v1_xboole_0(k26_glib_001(A)))  & m1_subset_1(k26_glib_001(A), k1_zfmisc_1(k25_glib_001(A)))) ) ) ).
fof(dt_m5_glib_001, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k21_glib_001(A)))) )  =>  (! [C] :  (m5_glib_001(C, A, B) => m3_glib_001(C, A)) ) ) ) ).
fof(existence_m5_glib_001, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k21_glib_001(A)))) )  =>  (? [C] : m5_glib_001(C, A, B)) ) ) ).
fof(redefinition_m5_glib_001, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k21_glib_001(A)))) )  =>  (! [C] :  (m5_glib_001(C, A, B) <=> m1_subset_1(C, B)) ) ) ) ).
fof(dt_m6_glib_001, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k22_glib_001(A)))) )  =>  (! [C] :  (m6_glib_001(C, A, B) =>  (v4_glib_001(C, A) & m3_glib_001(C, A)) ) ) ) ) ).
fof(existence_m6_glib_001, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k22_glib_001(A)))) )  =>  (? [C] : m6_glib_001(C, A, B)) ) ) ).
fof(redefinition_m6_glib_001, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k22_glib_001(A)))) )  =>  (! [C] :  (m6_glib_001(C, A, B) <=> m1_subset_1(C, B)) ) ) ) ).
fof(dt_m7_glib_001, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k23_glib_001(A)))) )  =>  (! [C] :  (m7_glib_001(C, A, B) =>  (v5_glib_001(C, A) & m3_glib_001(C, A)) ) ) ) ) ).
fof(existence_m7_glib_001, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k23_glib_001(A)))) )  =>  (? [C] : m7_glib_001(C, A, B)) ) ) ).
fof(redefinition_m7_glib_001, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k23_glib_001(A)))) )  =>  (! [C] :  (m7_glib_001(C, A, B) <=> m1_subset_1(C, B)) ) ) ) ).
fof(dt_m8_glib_001, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k24_glib_001(A)))) )  =>  (! [C] :  (m8_glib_001(C, A, B) =>  (v2_glib_001(C, A) & m3_glib_001(C, A)) ) ) ) ) ).
fof(existence_m8_glib_001, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k24_glib_001(A)))) )  =>  (? [C] : m8_glib_001(C, A, B)) ) ) ).
fof(redefinition_m8_glib_001, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k24_glib_001(A)))) )  =>  (! [C] :  (m8_glib_001(C, A, B) <=> m1_subset_1(C, B)) ) ) ) ).
fof(dt_m9_glib_001, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k25_glib_001(A)))) )  =>  (! [C] :  (m9_glib_001(C, A, B) =>  (v2_glib_001(C, A) &  (v4_glib_001(C, A) & m3_glib_001(C, A)) ) ) ) ) ) ).
fof(existence_m9_glib_001, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k25_glib_001(A)))) )  =>  (? [C] : m9_glib_001(C, A, B)) ) ) ).
fof(redefinition_m9_glib_001, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k25_glib_001(A)))) )  =>  (! [C] :  (m9_glib_001(C, A, B) <=> m1_subset_1(C, B)) ) ) ) ).
fof(dt_m10_glib_001, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k26_glib_001(A)))) )  =>  (! [C] :  (m10_glib_001(C, A, B) =>  (v2_glib_001(C, A) &  (v5_glib_001(C, A) & m3_glib_001(C, A)) ) ) ) ) ) ).
fof(existence_m10_glib_001, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k26_glib_001(A)))) )  =>  (? [C] : m10_glib_001(C, A, B)) ) ) ).
fof(redefinition_m10_glib_001, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k26_glib_001(A)))) )  =>  (! [C] :  (m10_glib_001(C, A, B) <=> m1_subset_1(C, B)) ) ) ) ).
fof(d5_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (! [D] :  ( (r1_glib_000(A, B, C, D) => k2_glib_001(A, B, C, D)=k11_finseq_1(B, D, C))  &  ( ~ (r1_glib_000(A, B, C, D))  => k2_glib_001(A, B, C, D)=k1_glib_001(A, o_1_0_glib_001(A))) ) ) ) ) ) ) ).
fof(d33_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  => k21_glib_001(A)=a_1_1_glib_001(A)) ) ).
fof(d34_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  => k22_glib_001(A)=a_1_2_glib_001(A)) ) ).
fof(d35_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  => k23_glib_001(A)=a_1_3_glib_001(A)) ) ).
fof(d36_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  => k24_glib_001(A)=a_1_4_glib_001(A)) ) ).
fof(d37_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  => k25_glib_001(A)=a_1_5_glib_001(A)) ) ).
fof(d38_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  => k26_glib_001(A)=a_1_6_glib_001(A)) ) ).
fof(dt_o_1_0_glib_001, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  => m1_subset_1(o_1_0_glib_001(A), k6_glib_000(A))) ) ).
fof(fraenkel_a_1_1_glib_001, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (r2_hidden(A, a_1_1_glib_001(B)) <=>  (? [C] :  (m3_glib_001(C, B) & A=C) ) ) ) ) ).
fof(fraenkel_a_1_2_glib_001, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (r2_hidden(A, a_1_2_glib_001(B)) <=>  (? [C] :  ( (v4_glib_001(C, B) & m3_glib_001(C, B))  & A=C) ) ) ) ) ).
fof(fraenkel_a_1_3_glib_001, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (r2_hidden(A, a_1_3_glib_001(B)) <=>  (? [C] :  ( (v5_glib_001(C, B) & m3_glib_001(C, B))  & A=C) ) ) ) ) ).
fof(fraenkel_a_1_4_glib_001, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (r2_hidden(A, a_1_4_glib_001(B)) <=>  (? [C] :  ( (v2_glib_001(C, B) & m3_glib_001(C, B))  & A=C) ) ) ) ) ).
fof(fraenkel_a_1_5_glib_001, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (r2_hidden(A, a_1_5_glib_001(B)) <=>  (? [C] :  ( (v2_glib_001(C, B) &  (v4_glib_001(C, B) & m3_glib_001(C, B)) )  & A=C) ) ) ) ) ).
fof(fraenkel_a_1_6_glib_001, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (r2_hidden(A, a_1_6_glib_001(B)) <=>  (? [C] :  ( (v2_glib_001(C, B) &  (v5_glib_001(C, B) & m3_glib_001(C, B)) )  & A=C) ) ) ) ) ).
fof(cc1_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v4_glib_000(A)) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_002(A)) ) ) ) ) ) ) ).
fof(cc2_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v3_glib_000(A) & v4_glib_000(A)) ) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) ) ) ) ).
fof(cc3_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_002(A)) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v7_glib_000(A)) ) ) ) ) ) ) ).
fof(cc4_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_002(A) & v2_glib_002(A)) ) ) ) ) ) ) ) ).
fof(cc5_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_002(A) & v2_glib_002(A)) ) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) ) ) ) ).
fof(cc6_glib_002, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m1_subset_1(B, k6_glib_000(A)))  =>  (! [C] :  (m2_glib_000(C, A, k6_domain_1(k6_glib_000(A), B), k1_xboole_0) => v3_glib_002(C)) ) ) ) ).
fof(rc1_glib_002, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v4_glib_000(A) & v3_glib_002(A)) ) ) ) ) ) ) ) ).
fof(rc2_glib_002, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  ( ~ (v4_glib_000(A))  & v3_glib_002(A)) ) ) ) ) ) ) ) ).
fof(rc3_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (? [B] :  (m1_glib_000(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) &  (v2_glib_000(B) &  (v4_glib_000(B) & v3_glib_002(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(cc7_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_002(A)) ) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) => v2_glib_002(B)) ) ) ) ).
fof(cc8_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  (v4_glib_002(B, A) => v1_glib_002(B)) ) ) ) ) ).
fof(cc9_glib_002, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m1_subset_1(B, k6_glib_000(A)))  =>  (! [C] :  (m2_glib_000(C, A, k1_glib_002(A, B), k21_glib_000(A, k1_glib_002(A, B))) => v4_glib_002(C, A)) ) ) ) ).
fof(rc4_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (? [B] :  (m1_glib_000(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) & v4_glib_002(B, A)) ) ) ) ) ) ) ) ) ).
fof(cc10_glib_002, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m1_subset_1(B, k3_glib_002(A)))  =>  (! [C] :  (m2_glib_000(C, A, B, k21_glib_000(A, B)) => v4_glib_002(C, A)) ) ) ) ).
fof(rc5_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  ( ~ (v4_glib_000(A))  & v1_glib_002(A)) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k6_glib_000(A)) &  ~ (v5_glib_002(B, A)) ) ) ) ) ).
fof(rc6_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  ( ~ (v4_glib_000(A))  & v3_glib_002(A)) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k6_glib_000(A)) & v11_glib_000(B, A)) ) ) ) ).
fof(cc11_glib_002, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  ( ~ (v4_glib_000(A))  & v3_glib_002(A)) ) ) ) ) ) )  &  (v11_glib_000(B, A) & m1_subset_1(B, k6_glib_000(A))) )  =>  (! [C] :  (m2_glib_000(C, A, k6_subset_1(k6_glib_000(A), k1_tarski(B)), k21_glib_000(A, k6_subset_1(k6_glib_000(A), k1_tarski(B)))) => v3_glib_002(C)) ) ) ) ).
fof(rc7_glib_002, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) &  (v6_glib_002(A) &  (v7_glib_002(A) & v8_glib_002(A)) ) ) ) ) ) ) ).
fof(cc12_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v16_glib_000(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v6_glib_002(A)) ) ) ) ) ).
fof(cc13_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) &  (v15_glib_000(A) & v16_glib_000(A)) ) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v8_glib_002(A)) ) ) ) ) ).
fof(cc14_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v7_glib_002(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v20_glib_000(A)) ) ) ) ) ).
fof(cc15_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v8_glib_002(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) &  (v6_glib_002(A) & v7_glib_002(A)) ) ) ) ) ) ).
fof(cc16_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) &  (v6_glib_002(A) & v7_glib_002(A)) ) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v8_glib_002(A)) ) ) ) ) ).
fof(rc8_glib_002, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v12_glib_000(A) &  (v13_glib_000(A) &  (v14_glib_000(A) & v8_glib_002(A)) ) ) ) ) ) ) ) ) ).
fof(fc1_glib_002, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v6_glib_002(A)) ) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  =>  (v1_relat_1(k1_funct_1(A, B)) &  (v4_relat_1(k1_funct_1(A, B), k4_ordinal1) &  (v1_funct_1(k1_funct_1(A, B)) &  (v1_finset_1(k1_funct_1(A, B)) &  (v1_glib_000(k1_funct_1(A, B)) & v1_glib_002(k1_funct_1(A, B))) ) ) ) ) ) ) ).
fof(fc2_glib_002, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v7_glib_002(A)) ) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  =>  (v1_relat_1(k1_funct_1(A, B)) &  (v4_relat_1(k1_funct_1(A, B), k4_ordinal1) &  (v1_funct_1(k1_funct_1(A, B)) &  (v1_finset_1(k1_funct_1(A, B)) &  (v1_glib_000(k1_funct_1(A, B)) & v2_glib_002(k1_funct_1(A, B))) ) ) ) ) ) ) ).
fof(fc3_glib_002, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v8_glib_002(A)) ) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  =>  (v1_relat_1(k1_funct_1(A, B)) &  (v4_relat_1(k1_funct_1(A, B), k4_ordinal1) &  (v1_funct_1(k1_funct_1(A, B)) &  (v1_finset_1(k1_funct_1(A, B)) &  (v1_glib_000(k1_funct_1(A, B)) & v3_glib_002(k1_funct_1(A, B))) ) ) ) ) ) ) ).
fof(fc4_glib_002, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v12_glib_000(A) & v6_glib_002(A)) ) ) ) )  & v7_ordinal1(B))  =>  (v1_relat_1(k1_funct_1(A, B)) &  (v4_relat_1(k1_funct_1(A, B), k4_ordinal1) &  (v1_funct_1(k1_funct_1(A, B)) &  (v1_finset_1(k1_funct_1(A, B)) &  (v1_glib_000(k1_funct_1(A, B)) & v1_glib_002(k1_funct_1(A, B))) ) ) ) ) ) ) ).
fof(fc5_glib_002, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v12_glib_000(A) & v7_glib_002(A)) ) ) ) )  & v7_ordinal1(B))  =>  (v1_relat_1(k1_funct_1(A, B)) &  (v4_relat_1(k1_funct_1(A, B), k4_ordinal1) &  (v1_funct_1(k1_funct_1(A, B)) &  (v1_finset_1(k1_funct_1(A, B)) &  (v1_glib_000(k1_funct_1(A, B)) & v2_glib_002(k1_funct_1(A, B))) ) ) ) ) ) ) ).
fof(fc6_glib_002, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v12_glib_000(A) & v8_glib_002(A)) ) ) ) )  & v7_ordinal1(B))  =>  (v1_relat_1(k1_funct_1(A, B)) &  (v4_relat_1(k1_funct_1(A, B), k4_ordinal1) &  (v1_funct_1(k1_funct_1(A, B)) &  (v1_finset_1(k1_funct_1(A, B)) &  (v1_glib_000(k1_funct_1(A, B)) & v3_glib_002(k1_funct_1(A, B))) ) ) ) ) ) ) ).
fof(d1_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (v1_glib_002(A) <=>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (? [D] :  (m3_glib_001(D, A) & r1_glib_001(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(d2_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (v2_glib_002(A) <=>  (! [B] :  (m3_glib_001(B, A) =>  ~ (v8_glib_001(B, A)) ) ) ) ) ) ).
fof(d3_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (v3_glib_002(A) <=>  (v2_glib_002(A) & v1_glib_002(A)) ) ) ) ).
fof(d4_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (r1_glib_002(A, B) <=>  (v3_glib_002(A) &  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (? [D] :  ( (v2_glib_001(D, A) & m3_glib_001(D, A))  & r1_glib_001(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(d5_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k6_glib_000(A))))  =>  (C=k1_glib_002(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (? [E] :  (m3_glib_001(E, A) & r1_glib_001(A, B, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k6_glib_000(A))))  =>  (C=k2_glib_002(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (? [E] :  ( (v2_glib_001(E, A) & m3_glib_001(E, A))  & r1_glib_001(A, B, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  (v4_glib_002(B, A) <=>  (v1_glib_002(B) &  (! [C] :  ( (v1_glib_002(C) & m1_glib_000(C, A))  =>  ~ (r7_glib_000(B, C)) ) ) ) ) ) ) ) ) ).
fof(d8_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(k6_glib_000(A)))))  =>  (B=k3_glib_002(A) <=>  (! [C] :  (r2_tarski(C, B) <=>  (? [D] :  (m1_subset_1(D, k6_glib_000(A)) & C=k1_glib_002(A, D)) ) ) ) ) ) ) ) ) ).
fof(d9_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  => k4_glib_002(A)=k1_card_1(k3_glib_002(A))) ) ).
fof(d10_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (v5_glib_002(B, A) <=>  (! [C] :  (m2_glib_000(C, A, k6_subset_1(k6_glib_000(A), k1_tarski(B)), k21_glib_000(A, k6_subset_1(k6_glib_000(A), k1_tarski(B)))) => r2_tarski(k4_glib_002(A), k4_glib_002(C))) ) ) ) ) ) ) ).
fof(d11_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (v5_glib_002(B, A) <=>  (! [C] :  (m2_glib_000(C, A, k6_subset_1(k6_glib_000(A), k1_tarski(B)), k21_glib_000(A, k6_subset_1(k6_glib_000(A), k1_tarski(B)))) =>  ~ (r1_xxreal_0(k5_glib_002(C), k5_glib_002(A))) ) ) ) ) ) ) ) ).
fof(d12_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v12_glib_000(A)) )  =>  (v6_glib_002(A) <=>  (! [B] :  ~ ( (r2_hidden(B, k9_xtuple_0(A)) &  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  (v1_finset_1(C) & v1_glib_000(C)) ) ) )  =>  ~ ( (k1_funct_1(A, B)=C & v1_glib_002(C)) ) ) ) ) ) ) ) ) ) ).
fof(d13_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v12_glib_000(A)) )  =>  (v7_glib_002(A) <=>  (! [B] :  ~ ( (r2_hidden(B, k9_xtuple_0(A)) &  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  (v1_finset_1(C) & v1_glib_000(C)) ) ) )  =>  ~ ( (k1_funct_1(A, B)=C & v2_glib_002(C)) ) ) ) ) ) ) ) ) ) ).
fof(d14_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v12_glib_000(A)) )  =>  (v8_glib_002(A) <=>  (! [B] :  ~ ( (r2_hidden(B, k9_xtuple_0(A)) &  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  (v1_finset_1(C) & v1_glib_000(C)) ) ) )  =>  ~ ( (k1_funct_1(A, B)=C & v3_glib_002(C)) ) ) ) ) ) ) ) ) ) ).
fof(d15_glib_002, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v12_glib_000(A)) ) )  =>  (v6_glib_002(A) <=>  (! [B] :  (m1_subset_1(B, k9_xtuple_0(A)) => v1_glib_002(k1_funct_1(A, B))) ) ) ) ) ).
fof(d16_glib_002, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v12_glib_000(A)) ) )  =>  (v7_glib_002(A) <=>  (! [B] :  (m1_subset_1(B, k9_xtuple_0(A)) => v2_glib_002(k1_funct_1(A, B))) ) ) ) ) ).
fof(d17_glib_002, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v12_glib_000(A)) ) )  =>  (v8_glib_002(A) <=>  (! [B] :  (m1_subset_1(B, k9_xtuple_0(A)) => v3_glib_002(k1_funct_1(A, B))) ) ) ) ) ).
fof(d18_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) & v12_glib_000(A)) ) ) )  =>  (v6_glib_002(A) <=>  (! [B] :  (v7_ordinal1(B) => v1_glib_002(k1_funct_1(A, B))) ) ) ) ) ).
fof(d19_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) & v12_glib_000(A)) ) ) )  =>  (v7_glib_002(A) <=>  (! [B] :  (v7_ordinal1(B) => v2_glib_002(k1_funct_1(A, B))) ) ) ) ) ).
fof(d20_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) & v12_glib_000(A)) ) ) )  =>  (v8_glib_002(A) <=>  (! [B] :  (v7_ordinal1(B) => v3_glib_002(k1_funct_1(A, B))) ) ) ) ) ).
fof(t2_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  ( ~ (v4_glib_000(A))  & v1_glib_002(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  ~ (v10_glib_000(B, A)) ) ) ) ) ).
fof(t3_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  ~ (v4_glib_000(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m2_glib_000(C, A, k6_subset_1(k6_glib_000(A), k1_tarski(B)), k21_glib_000(A, k6_subset_1(k6_glib_000(A), k1_tarski(B)))) =>  (v1_glib_002(C) =>  ( (! [D] :  ~ ( (r2_tarski(D, k28_glib_000(A, B)) &  ~ (r1_glib_000(A, B, B, D)) ) ) )  | v1_glib_002(A)) ) ) ) ) ) ) ) ).
fof(t4_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  ( ~ (v4_glib_000(A))  & v1_glib_002(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m2_glib_000(C, A, k6_subset_1(k6_glib_000(A), k1_tarski(B)), k21_glib_000(A, k6_subset_1(k6_glib_000(A), k1_tarski(B)))) =>  (v11_glib_000(B, A) => v1_glib_002(C)) ) ) ) ) ) ) ).
fof(t5_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_002(A)) ) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (! [D] :  (m2_glib_000(D, A, k6_glib_000(A), k6_subset_1(k7_glib_000(A), k1_tarski(C))) =>  ( (v8_glib_001(B, A) & r2_tarski(C, k14_glib_001(A, B)))  => v1_glib_002(D)) ) ) ) ) ) ) ) ).
fof(t6_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  ( (? [B] :  (m1_subset_1(B, k6_glib_000(A)) &  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (? [D] :  (m3_glib_001(D, A) & r1_glib_001(A, B, C, D)) ) ) ) ) )  => v1_glib_002(A)) ) ) ).
fof(t7_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v4_glib_000(A)) ) ) ) )  => v1_glib_002(A)) ) ).
fof(t8_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  ( (r5_glib_000(A, B) & v1_glib_002(A))  => v1_glib_002(B)) ) ) ) ) ).
fof(t9_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) => r2_tarski(B, k1_glib_002(A, B))) ) ) ) ).
fof(t10_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (! [D] :  (! [E] :  ( (r2_hidden(D, k1_glib_002(A, B)) & r1_glib_000(A, D, E, C))  => r2_hidden(E, k1_glib_002(A, B))) ) ) ) ) ) ) ) ).
fof(t11_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) => k21_glib_000(A, k1_glib_002(A, B))=k20_glib_000(A, k1_glib_002(A, B))) ) ) ) ).
fof(t12_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (r2_tarski(B, k1_glib_002(A, C)) => k1_glib_002(A, B)=k1_glib_002(A, C)) ) ) ) ) ) ) ).
fof(t13_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m3_glib_001(C, A) =>  (r2_tarski(B, k13_glib_001(A, C)) => r1_tarski(k13_glib_001(A, C), k1_glib_002(A, B))) ) ) ) ) ) ) ).
fof(t14_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(B)) =>  (C=D => r1_tarski(k1_glib_002(B, D), k1_glib_002(A, C))) ) ) ) ) ) ) ) ) ).
fof(t15_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  ( (? [B] :  (m1_subset_1(B, k6_glib_000(A)) & k1_glib_002(A, B)=k6_glib_000(A)) )  => v1_glib_002(A)) ) ) ).
fof(t16_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (v1_glib_002(A) =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) => k1_glib_002(A, B)=k6_glib_000(A)) ) ) ) ) ).
fof(t17_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(B)) =>  ( (r5_glib_000(A, B) & C=D)  => k1_glib_002(A, C)=k1_glib_002(B, D)) ) ) ) ) ) ) ) ) ).
fof(t18_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) => r2_tarski(B, k2_glib_002(A, B))) ) ) ) ).
fof(t19_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (m1_subset_1(E, k6_glib_000(A)) =>  ( (r2_tarski(C, k2_glib_002(A, E)) & r2_glib_000(A, C, D, B))  => r2_tarski(D, k2_glib_002(A, E))) ) ) ) ) ) ) ) ).
fof(t20_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) => r1_tarski(k2_glib_002(A, B), k1_glib_002(A, B))) ) ) ) ).
fof(t21_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(B)) =>  (C=D => r1_tarski(k2_glib_002(B, D), k2_glib_002(A, C))) ) ) ) ) ) ) ) ) ).
fof(t22_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(B)) =>  ( (r5_glib_000(A, B) & C=D)  => k2_glib_002(A, C)=k2_glib_002(B, D)) ) ) ) ) ) ) ) ) ).
fof(t23_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_glib_002(B) & m1_glib_000(B, A))  =>  (v9_glib_000(B, A) => v1_glib_002(A)) ) ) ) ) ).
fof(t24_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  => k5_setfam_1(k6_glib_000(A), k3_glib_002(A))=k6_glib_000(A)) ) ).
fof(t25_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (v1_glib_002(A) <=> k3_glib_002(A)=k1_tarski(k6_glib_000(A))) ) ) ).
fof(t26_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (r5_glib_000(A, B) => k3_glib_002(A)=k3_glib_002(B)) ) ) ) ) ).
fof(t27_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (r2_tarski(B, k3_glib_002(A)) =>  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k6_glib_000(A)))) ) ) ) ) ).
fof(t28_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (v1_glib_002(A) <=> k4_glib_002(A)=1) ) ) ).
fof(t29_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (r5_glib_000(A, B) => k4_glib_002(A)=k4_glib_002(B)) ) ) ) ) ).
fof(t30_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  ( (v4_glib_002(A, A) & m1_glib_000(A, A))  <=> v1_glib_002(A)) ) ) ).
fof(t31_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v4_glib_002(B, A) & m1_glib_000(B, A))  => k25_glib_000(A, B)=k21_glib_000(A, k24_glib_000(A, B))) ) ) ) ).
fof(t32_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v4_glib_002(B, A) & m1_glib_000(B, A))  =>  (! [C] :  ( (v4_glib_002(C, A) & m1_glib_000(C, A))  =>  (k24_glib_000(A, B)=k24_glib_000(A, C) <=> r5_glib_000(B, C)) ) ) ) ) ) ) ).
fof(t33_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v4_glib_002(B, A) & m1_glib_000(B, A))  =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (r2_tarski(C, k24_glib_000(A, B)) <=> k24_glib_000(A, B)=k1_glib_002(A, C)) ) ) ) ) ) ) ).
fof(t34_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v4_glib_002(B, A) & m1_glib_000(B, A))  =>  (! [C] :  ( (v4_glib_002(C, A) & m1_glib_000(C, A))  =>  (! [D] :  ( (r2_tarski(D, k24_glib_000(A, B)) & r2_tarski(D, k24_glib_000(A, C)))  => r5_glib_000(B, C)) ) ) ) ) ) ) ) ).
fof(t35_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_002(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  ( ~ (v5_glib_002(B, A))  <=>  (! [C] :  (m2_glib_000(C, A, k6_subset_1(k6_glib_000(A), k1_tarski(B)), k21_glib_000(A, k6_subset_1(k6_glib_000(A), k1_tarski(B)))) => r1_ordinal1(k4_glib_002(C), k4_glib_002(A))) ) ) ) ) ) ) ).
fof(t36_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_002(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m2_glib_000(C, A, k6_subset_1(k6_glib_000(A), k1_tarski(B)), k21_glib_000(A, k6_subset_1(k6_glib_000(A), k1_tarski(B)))) =>  ( ~ (v5_glib_002(B, A))  => v1_glib_002(C)) ) ) ) ) ) ) ).
fof(t37_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  ( ~ (v4_glib_000(A))  & v1_glib_002(A)) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k6_glib_000(A)) &  (? [C] :  (m1_subset_1(C, k6_glib_000(A)) &  ( ~ (B=C)  &  ( ~ (v5_glib_002(B, A))  &  ~ (v5_glib_002(C, A)) ) ) ) ) ) ) ) ) ).
fof(t38_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  ~ ( (v5_glib_002(B, A) & v4_glib_000(A)) ) ) ) ) ) ).
fof(t39_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(B)) =>  ( (r5_glib_000(A, B) &  (C=D & v5_glib_002(C, A)) )  => v5_glib_002(D, B)) ) ) ) ) ) ) ) ) ).
fof(t40_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) & v1_glib_002(A)) ) ) ) ) )  => r1_xxreal_0(k15_glib_000(A), k1_nat_1(k17_glib_000(A), 1))) ) ).
fof(t41_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_002(A)) ) ) ) )  => v7_glib_000(A)) ) ).
fof(t42_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_002(A)) ) ) ) )  =>  (! [B] :  ( (v5_glib_001(B, A) & m3_glib_001(B, A))  =>  (! [C] :  (r2_tarski(C, k28_glib_000(A, k4_glib_001(A, B))) =>  (r2_tarski(C, k14_glib_001(A, B)) | v5_glib_001(k10_glib_001(A, B, C), A)) ) ) ) ) ) ) ).
fof(t43_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  ( ~ (v4_glib_000(A))  & v2_glib_002(A)) ) ) ) ) ) )  =>  ~ ( ( ~ (k7_glib_000(A)=k1_xboole_0)  &  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  ~ ( ( ~ (B=C)  &  (v11_glib_000(B, A) &  (v11_glib_000(C, A) & r2_tarski(C, k1_glib_002(A, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  ( (r5_glib_000(A, B) & v2_glib_002(A))  => v2_glib_002(B)) ) ) ) ) ).
fof(t45_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  ( ~ (v4_glib_000(A))  & v3_glib_002(A)) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k6_glib_000(A)) &  (? [C] :  (m1_subset_1(C, k6_glib_000(A)) &  ( ~ (B=C)  &  (v11_glib_000(B, A) & v11_glib_000(C, A)) ) ) ) ) ) ) ) ).
fof(t46_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (v3_glib_002(A) <=>  (v2_glib_002(A) & k15_glib_000(A)=k1_nat_1(k17_glib_000(A), 1)) ) ) ) ).
fof(t47_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (v3_glib_002(A) <=>  (v1_glib_002(A) & k15_glib_000(A)=k1_nat_1(k17_glib_000(A), 1)) ) ) ) ).
fof(t48_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  ( (r5_glib_000(A, B) & v3_glib_002(A))  => v3_glib_002(B)) ) ) ) ) ).
fof(t49_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (r1_glib_002(A, B) => m1_subset_1(B, k6_glib_000(A))) ) ) ) ).
fof(t50_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (! [C] :  ( (r5_glib_000(A, B) & r1_glib_002(A, C))  => r1_glib_002(B, C)) ) ) ) ) ) ).
fof(dt_k1_glib_002, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m1_subset_1(B, k6_glib_000(A)))  =>  ( ~ (v1_xboole_0(k1_glib_002(A, B)))  & m1_subset_1(k1_glib_002(A, B), k1_zfmisc_1(k6_glib_000(A)))) ) ) ).
fof(dt_k2_glib_002, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m1_subset_1(B, k6_glib_000(A)))  =>  ( ~ (v1_xboole_0(k2_glib_002(A, B)))  & m1_subset_1(k2_glib_002(A, B), k1_zfmisc_1(k6_glib_000(A)))) ) ) ).
fof(dt_k3_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  ( ~ (v1_xboole_0(k3_glib_002(A)))  & m1_subset_1(k3_glib_002(A), k1_zfmisc_1(k1_zfmisc_1(k6_glib_000(A))))) ) ) ).
fof(dt_k4_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  => v1_card_1(k4_glib_002(A))) ) ).
fof(dt_k5_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  ( ~ (v8_ordinal1(k5_glib_002(A)))  & m1_subset_1(k5_glib_002(A), k4_ordinal1)) ) ) ).
fof(redefinition_k5_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  => k5_glib_002(A)=k4_glib_002(A)) ) ).
fof(rc1_glib_003, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) &  (v2_glib_003(A) & v3_glib_003(A)) ) ) ) ) ) ) ) ).
fof(fc1_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k2_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k2_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k2_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k2_glib_003, B)) & v1_glib_000(k13_glib_000(A, k2_glib_003, B))) ) ) ) ) ) ).
fof(fc2_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k3_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k3_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k3_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k3_glib_003, B)) & v1_glib_000(k13_glib_000(A, k3_glib_003, B))) ) ) ) ) ) ).
fof(fc3_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k4_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k4_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k4_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k4_glib_003, B)) & v1_glib_000(k13_glib_000(A, k4_glib_003, B))) ) ) ) ) ) ).
fof(fc4_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k2_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k2_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k2_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k2_glib_003, B)) & v2_glib_000(k13_glib_000(A, k2_glib_003, B))) ) ) ) ) ) ).
fof(fc5_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k3_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k3_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k3_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k3_glib_003, B)) & v2_glib_000(k13_glib_000(A, k3_glib_003, B))) ) ) ) ) ) ).
fof(fc6_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k4_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k4_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k4_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k4_glib_003, B)) & v2_glib_000(k13_glib_000(A, k4_glib_003, B))) ) ) ) ) ) ).
fof(fc7_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_000(A)) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k2_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k2_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k2_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k2_glib_003, B)) & v3_glib_000(k13_glib_000(A, k2_glib_003, B))) ) ) ) ) ) ).
fof(fc8_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_000(A)) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k3_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k3_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k3_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k3_glib_003, B)) & v3_glib_000(k13_glib_000(A, k3_glib_003, B))) ) ) ) ) ) ).
fof(fc9_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_000(A)) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k4_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k4_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k4_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k4_glib_003, B)) & v3_glib_000(k13_glib_000(A, k4_glib_003, B))) ) ) ) ) ) ).
fof(fc10_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v4_glib_000(A)) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k2_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k2_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k2_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k2_glib_003, B)) & v4_glib_000(k13_glib_000(A, k2_glib_003, B))) ) ) ) ) ) ).
fof(fc11_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v4_glib_000(A)) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k3_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k3_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k3_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k3_glib_003, B)) & v4_glib_000(k13_glib_000(A, k3_glib_003, B))) ) ) ) ) ) ).
fof(fc12_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v4_glib_000(A)) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k4_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k4_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k4_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k4_glib_003, B)) & v4_glib_000(k13_glib_000(A, k4_glib_003, B))) ) ) ) ) ) ).
fof(fc13_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  ~ (v4_glib_000(A)) ) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k2_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k2_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k2_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k2_glib_003, B)) &  ~ (v4_glib_000(k13_glib_000(A, k2_glib_003, B))) ) ) ) ) ) ) ).
fof(fc14_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  ~ (v4_glib_000(A)) ) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k3_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k3_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k3_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k3_glib_003, B)) &  ~ (v4_glib_000(k13_glib_000(A, k3_glib_003, B))) ) ) ) ) ) ) ).
fof(fc15_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  ~ (v4_glib_000(A)) ) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k4_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k4_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k4_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k4_glib_003, B)) &  ~ (v4_glib_000(k13_glib_000(A, k4_glib_003, B))) ) ) ) ) ) ) ).
fof(fc16_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v5_glib_000(A)) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k2_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k2_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k2_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k2_glib_003, B)) & v5_glib_000(k13_glib_000(A, k2_glib_003, B))) ) ) ) ) ) ).
fof(fc17_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v5_glib_000(A)) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k3_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k3_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k3_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k3_glib_003, B)) & v5_glib_000(k13_glib_000(A, k3_glib_003, B))) ) ) ) ) ) ).
fof(fc18_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v5_glib_000(A)) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k4_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k4_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k4_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k4_glib_003, B)) & v5_glib_000(k13_glib_000(A, k4_glib_003, B))) ) ) ) ) ) ).
fof(fc19_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v6_glib_000(A)) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k2_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k2_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k2_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k2_glib_003, B)) & v6_glib_000(k13_glib_000(A, k2_glib_003, B))) ) ) ) ) ) ).
fof(fc20_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v6_glib_000(A)) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k3_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k3_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k3_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k3_glib_003, B)) & v6_glib_000(k13_glib_000(A, k3_glib_003, B))) ) ) ) ) ) ).
fof(fc21_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v6_glib_000(A)) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k4_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k4_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k4_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k4_glib_003, B)) & v6_glib_000(k13_glib_000(A, k4_glib_003, B))) ) ) ) ) ) ).
fof(fc22_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_002(A)) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k2_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k2_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k2_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k2_glib_003, B)) & v1_glib_002(k13_glib_000(A, k2_glib_003, B))) ) ) ) ) ) ).
fof(fc23_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_002(A)) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k3_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k3_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k3_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k3_glib_003, B)) & v1_glib_002(k13_glib_000(A, k3_glib_003, B))) ) ) ) ) ) ).
fof(fc24_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_002(A)) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k4_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k4_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k4_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k4_glib_003, B)) & v1_glib_002(k13_glib_000(A, k4_glib_003, B))) ) ) ) ) ) ).
fof(fc25_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_002(A)) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k2_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k2_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k2_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k2_glib_003, B)) & v2_glib_002(k13_glib_000(A, k2_glib_003, B))) ) ) ) ) ) ).
fof(fc26_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_002(A)) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k3_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k3_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k3_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k3_glib_003, B)) & v2_glib_002(k13_glib_000(A, k3_glib_003, B))) ) ) ) ) ) ).
fof(fc27_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_002(A)) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k4_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k4_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k4_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k4_glib_003, B)) & v2_glib_002(k13_glib_000(A, k4_glib_003, B))) ) ) ) ) ) ).
fof(fc28_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_003(A)) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k3_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k3_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k3_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k3_glib_003, B)) & v1_glib_003(k13_glib_000(A, k3_glib_003, B))) ) ) ) ) ) ).
fof(fc29_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_003(A)) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k4_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k4_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k4_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k4_glib_003, B)) & v1_glib_003(k13_glib_000(A, k4_glib_003, B))) ) ) ) ) ) ).
fof(fc30_glib_003, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) & v1_partfun1(B, k7_glib_000(A))) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k2_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k2_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k2_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k2_glib_003, B)) & v1_glib_003(k13_glib_000(A, k2_glib_003, B))) ) ) ) ) ) ).
fof(fc31_glib_003, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, k7_glib_000(A), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k7_glib_000(A), B)))) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k2_glib_003, C)) &  (v4_relat_1(k13_glib_000(A, k2_glib_003, C), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k2_glib_003, C)) &  (v1_finset_1(k13_glib_000(A, k2_glib_003, C)) & v1_glib_003(k13_glib_000(A, k2_glib_003, C))) ) ) ) ) ) ).
fof(fc32_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_003(A)) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k2_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k2_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k2_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k2_glib_003, B)) & v2_glib_003(k13_glib_000(A, k2_glib_003, B))) ) ) ) ) ) ).
fof(fc33_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_003(A)) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k4_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k4_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k4_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k4_glib_003, B)) & v2_glib_003(k13_glib_000(A, k4_glib_003, B))) ) ) ) ) ) ).
fof(fc34_glib_003, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k7_glib_000(A), B)))) )  =>  (v1_relat_1(k13_glib_000(A, k3_glib_003, C)) &  (v4_relat_1(k13_glib_000(A, k3_glib_003, C), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k3_glib_003, C)) &  (v1_finset_1(k13_glib_000(A, k3_glib_003, C)) & v2_glib_003(k13_glib_000(A, k3_glib_003, C))) ) ) ) ) ) ).
fof(fc35_glib_003, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) & v1_partfun1(B, k7_glib_000(A))) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k3_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k3_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k3_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k3_glib_003, B)) & v2_glib_003(k13_glib_000(A, k3_glib_003, B))) ) ) ) ) ) ).
fof(fc36_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_003(A)) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k2_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k2_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k2_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k2_glib_003, B)) & v3_glib_003(k13_glib_000(A, k2_glib_003, B))) ) ) ) ) ) ).
fof(fc37_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_003(A)) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k3_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k3_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k3_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k3_glib_003, B)) & v3_glib_003(k13_glib_000(A, k3_glib_003, B))) ) ) ) ) ) ).
fof(fc38_glib_003, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k6_glib_000(A), B)))) )  =>  (v1_relat_1(k13_glib_000(A, k4_glib_003, C)) &  (v4_relat_1(k13_glib_000(A, k4_glib_003, C), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k4_glib_003, C)) &  (v1_finset_1(k13_glib_000(A, k4_glib_003, C)) & v3_glib_003(k13_glib_000(A, k4_glib_003, C))) ) ) ) ) ) ).
fof(fc39_glib_003, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k6_glib_000(A)) &  (v1_funct_1(B) & v1_partfun1(B, k6_glib_000(A))) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k4_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k4_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k4_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k4_glib_003, B)) & v3_glib_003(k13_glib_000(A, k4_glib_003, B))) ) ) ) ) ) ).
fof(fc40_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k3_glib_003, k1_xboole_0)) &  (v4_relat_1(k13_glib_000(A, k3_glib_003, k1_xboole_0), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k3_glib_003, k1_xboole_0)) &  (v1_finset_1(k13_glib_000(A, k3_glib_003, k1_xboole_0)) & v2_glib_003(k13_glib_000(A, k3_glib_003, k1_xboole_0))) ) ) ) ) ) ).
fof(fc41_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k4_glib_003, k1_xboole_0)) &  (v4_relat_1(k13_glib_000(A, k4_glib_003, k1_xboole_0), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k4_glib_003, k1_xboole_0)) &  (v1_finset_1(k13_glib_000(A, k4_glib_003, k1_xboole_0)) & v3_glib_003(k13_glib_000(A, k4_glib_003, k1_xboole_0))) ) ) ) ) ) ).
fof(rc2_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (? [B] :  (m1_glib_000(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) &  (v1_glib_003(B) &  (v2_glib_003(B) & v3_glib_003(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_003(A)) ) ) ) )  =>  (? [B] :  (m1_glib_000(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) &  (v1_glib_003(B) & v4_glib_003(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(rc4_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_003(A)) ) ) ) )  =>  (? [B] :  (m1_glib_000(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) &  (v2_glib_003(B) & v5_glib_003(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(rc5_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_003(A)) ) ) ) )  =>  (? [B] :  (m1_glib_000(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) &  (v3_glib_003(B) & v6_glib_003(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(rc6_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v2_glib_003(A)) ) ) ) ) )  =>  (? [B] :  (m1_glib_000(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) &  (v1_glib_003(B) &  (v2_glib_003(B) &  (v4_glib_003(B, A) & v5_glib_003(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc7_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v3_glib_003(A)) ) ) ) ) )  =>  (? [B] :  (m1_glib_000(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) &  (v1_glib_003(B) &  (v3_glib_003(B) &  (v4_glib_003(B, A) & v6_glib_003(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc8_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_003(A) & v3_glib_003(A)) ) ) ) ) )  =>  (? [B] :  (m1_glib_000(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) &  (v2_glib_003(B) &  (v3_glib_003(B) &  (v5_glib_003(B, A) & v6_glib_003(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc9_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) &  (v2_glib_003(A) & v3_glib_003(A)) ) ) ) ) ) )  =>  (? [B] :  (m1_glib_000(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) &  (v1_glib_003(B) &  (v2_glib_003(B) &  (v3_glib_003(B) &  (v4_glib_003(B, A) &  (v5_glib_003(B, A) & v6_glib_003(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc10_glib_003, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (? [D] :  (m2_glib_000(D, A, B, C) &  (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v1_funct_1(D) &  (v1_finset_1(D) &  (v1_glib_000(D) &  (v1_glib_003(D) &  (v2_glib_003(D) & v3_glib_003(D)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc11_glib_003, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_003(A)) ) ) ) )  =>  (? [D] :  (m2_glib_000(D, A, B, C) &  (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v1_funct_1(D) &  (v1_finset_1(D) &  (v1_glib_000(D) &  (v1_glib_003(D) & v4_glib_003(D, A)) ) ) ) ) ) ) ) ) ) ).
fof(rc12_glib_003, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_003(A)) ) ) ) )  =>  (? [D] :  (m2_glib_000(D, A, B, C) &  (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v1_funct_1(D) &  (v1_finset_1(D) &  (v1_glib_000(D) &  (v2_glib_003(D) & v5_glib_003(D, A)) ) ) ) ) ) ) ) ) ) ).
fof(rc13_glib_003, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_003(A)) ) ) ) )  =>  (? [D] :  (m2_glib_000(D, A, B, C) &  (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v1_funct_1(D) &  (v1_finset_1(D) &  (v1_glib_000(D) &  (v3_glib_003(D) & v6_glib_003(D, A)) ) ) ) ) ) ) ) ) ) ).
fof(rc14_glib_003, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v2_glib_003(A)) ) ) ) ) )  =>  (? [D] :  (m2_glib_000(D, A, B, C) &  (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v1_funct_1(D) &  (v1_finset_1(D) &  (v1_glib_000(D) &  (v1_glib_003(D) &  (v2_glib_003(D) &  (v4_glib_003(D, A) & v5_glib_003(D, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc15_glib_003, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v3_glib_003(A)) ) ) ) ) )  =>  (? [D] :  (m2_glib_000(D, A, B, C) &  (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v1_funct_1(D) &  (v1_finset_1(D) &  (v1_glib_000(D) &  (v1_glib_003(D) &  (v3_glib_003(D) &  (v4_glib_003(D, A) & v6_glib_003(D, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc16_glib_003, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_003(A) & v3_glib_003(A)) ) ) ) ) )  =>  (? [D] :  (m2_glib_000(D, A, B, C) &  (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v1_funct_1(D) &  (v1_finset_1(D) &  (v1_glib_000(D) &  (v2_glib_003(D) &  (v3_glib_003(D) &  (v5_glib_003(D, A) & v6_glib_003(D, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc17_glib_003, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) &  (v2_glib_003(A) & v3_glib_003(A)) ) ) ) ) ) )  =>  (? [D] :  (m2_glib_000(D, A, B, C) &  (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v1_funct_1(D) &  (v1_finset_1(D) &  (v1_glib_000(D) &  (v1_glib_003(D) &  (v2_glib_003(D) &  (v3_glib_003(D) &  (v4_glib_003(D, A) &  (v5_glib_003(D, A) & v6_glib_003(D, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v8_glib_003(A)) ) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) ) ) ).
fof(cc2_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) &  (v2_glib_003(A) &  (v3_glib_003(A) & v11_glib_003(A)) ) ) ) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) &  (v2_glib_003(A) &  (v3_glib_003(A) &  (v7_glib_003(A) &  (v9_glib_003(A) & v10_glib_003(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc3_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) &  (v2_glib_003(A) &  (v3_glib_003(A) &  (v7_glib_003(A) &  (v9_glib_003(A) & v10_glib_003(A)) ) ) ) ) ) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) &  (v2_glib_003(A) &  (v3_glib_003(A) & v11_glib_003(A)) ) ) ) ) ) ) ) ) ) ).
fof(fc42_glib_003, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k7_glib_000(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k7_glib_000(A), k1_numbers)))) ) )  =>  (v1_relat_1(k13_glib_000(A, k2_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k2_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k2_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k2_glib_003, B)) & v7_glib_003(k13_glib_000(A, k2_glib_003, B))) ) ) ) ) ) ).
fof(fc43_glib_003, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k7_glib_000(A), k1_numbers)))) )  =>  (v1_relat_1(k13_glib_000(A, k3_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k3_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k3_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k3_glib_003, B)) & v9_glib_003(k13_glib_000(A, k3_glib_003, B))) ) ) ) ) ) ).
fof(fc44_glib_003, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v3_valued_0(B)) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k3_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k3_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k3_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k3_glib_003, B)) & v9_glib_003(k13_glib_000(A, k3_glib_003, B))) ) ) ) ) ) ).
fof(fc45_glib_003, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k6_glib_000(A), k1_numbers)))) )  =>  (v1_relat_1(k13_glib_000(A, k4_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k4_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k4_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k4_glib_003, B)) & v10_glib_003(k13_glib_000(A, k4_glib_003, B))) ) ) ) ) ) ).
fof(fc46_glib_003, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k6_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k6_glib_000(A)) & v3_valued_0(B)) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k4_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k4_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k4_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k4_glib_003, B)) & v10_glib_003(k13_glib_000(A, k4_glib_003, B))) ) ) ) ) ) ).
fof(fc47_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k3_glib_003, k1_xboole_0)) &  (v4_relat_1(k13_glib_000(A, k3_glib_003, k1_xboole_0), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k3_glib_003, k1_xboole_0)) &  (v1_finset_1(k13_glib_000(A, k3_glib_003, k1_xboole_0)) & v9_glib_003(k13_glib_000(A, k3_glib_003, k1_xboole_0))) ) ) ) ) ) ).
fof(fc48_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k4_glib_003, k1_xboole_0)) &  (v4_relat_1(k13_glib_000(A, k4_glib_003, k1_xboole_0), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k4_glib_003, k1_xboole_0)) &  (v1_finset_1(k13_glib_000(A, k4_glib_003, k1_xboole_0)) & v10_glib_003(k13_glib_000(A, k4_glib_003, k1_xboole_0))) ) ) ) ) ) ).
fof(fc49_glib_003, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (m1_subset_1(B, k6_glib_000(A)) & v1_xreal_0(C)) )  =>  (v1_relat_1(k13_glib_000(A, k4_glib_003, k17_funcop_1(B, C))) &  (v4_relat_1(k13_glib_000(A, k4_glib_003, k17_funcop_1(B, C)), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k4_glib_003, k17_funcop_1(B, C))) &  (v1_finset_1(k13_glib_000(A, k4_glib_003, k17_funcop_1(B, C))) & v3_glib_003(k13_glib_000(A, k4_glib_003, k17_funcop_1(B, C)))) ) ) ) ) ) ).
fof(fc50_glib_003, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (m1_subset_1(B, k6_glib_000(A)) & v1_xreal_0(C)) )  =>  (v1_relat_1(k13_glib_000(A, k4_glib_003, k17_funcop_1(B, C))) &  (v4_relat_1(k13_glib_000(A, k4_glib_003, k17_funcop_1(B, C)), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k4_glib_003, k17_funcop_1(B, C))) &  (v1_finset_1(k13_glib_000(A, k4_glib_003, k17_funcop_1(B, C))) & v10_glib_003(k13_glib_000(A, k4_glib_003, k17_funcop_1(B, C)))) ) ) ) ) ) ).
fof(rc18_glib_003, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v4_glib_000(A) &  (v3_glib_002(A) &  (v1_glib_003(A) &  (v2_glib_003(A) &  (v3_glib_003(A) &  (v8_glib_003(A) & v11_glib_003(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc19_glib_003, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  ( ~ (v4_glib_000(A))  &  (v3_glib_002(A) &  (v1_glib_003(A) &  (v2_glib_003(A) &  (v3_glib_003(A) &  (v8_glib_003(A) & v11_glib_003(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc51_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) & v1_glib_003(A)) ) ) ) ) )  =>  (v1_relat_1(k5_glib_003(A)) &  (v4_relat_1(k5_glib_003(A), k7_glib_000(A)) &  (v1_funct_1(k5_glib_003(A)) &  (v1_partfun1(k5_glib_003(A), k7_glib_000(A)) & v1_finset_1(k5_glib_003(A))) ) ) ) ) ) ).
fof(fc52_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) & v2_glib_003(A)) ) ) ) ) )  =>  (v1_relat_1(k6_glib_003(A)) &  (v1_funct_1(k6_glib_003(A)) & v1_finset_1(k6_glib_003(A))) ) ) ) ).
fof(fc53_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) & v3_glib_003(A)) ) ) ) ) )  =>  (v1_relat_1(k7_glib_003(A)) &  (v1_funct_1(k7_glib_003(A)) & v1_finset_1(k7_glib_003(A))) ) ) ) ).
fof(fc54_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (v1_relat_1(k5_glib_003(A)) &  (v4_relat_1(k5_glib_003(A), k7_glib_000(A)) &  (v1_funct_1(k5_glib_003(A)) &  (v1_partfun1(k5_glib_003(A), k7_glib_000(A)) & v3_valued_0(k5_glib_003(A))) ) ) ) ) ) ).
fof(fc55_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_003(A) & v9_glib_003(A)) ) ) ) ) )  =>  (v1_relat_1(k6_glib_003(A)) &  (v1_funct_1(k6_glib_003(A)) & v3_valued_0(k6_glib_003(A))) ) ) ) ).
fof(fc56_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v3_glib_003(A) & v10_glib_003(A)) ) ) ) ) )  =>  (v1_relat_1(k7_glib_003(A)) &  (v1_funct_1(k7_glib_003(A)) & v3_valued_0(k7_glib_003(A))) ) ) ) ).
fof(fc57_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k3_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k3_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k3_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k3_glib_003, B)) & v7_glib_003(k13_glib_000(A, k3_glib_003, B))) ) ) ) ) ) ).
fof(fc58_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k4_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k4_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k4_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k4_glib_003, B)) & v7_glib_003(k13_glib_000(A, k4_glib_003, B))) ) ) ) ) ) ).
fof(fc59_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v8_glib_003(A)) ) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k3_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k3_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k3_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k3_glib_003, B)) & v8_glib_003(k13_glib_000(A, k3_glib_003, B))) ) ) ) ) ) ).
fof(fc60_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v8_glib_003(A)) ) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k4_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k4_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k4_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k4_glib_003, B)) & v8_glib_003(k13_glib_000(A, k4_glib_003, B))) ) ) ) ) ) ).
fof(fc61_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_003(A) & v9_glib_003(A)) ) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k2_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k2_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k2_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k2_glib_003, B)) & v9_glib_003(k13_glib_000(A, k2_glib_003, B))) ) ) ) ) ) ).
fof(fc62_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_003(A) & v9_glib_003(A)) ) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k4_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k4_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k4_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k4_glib_003, B)) & v9_glib_003(k13_glib_000(A, k4_glib_003, B))) ) ) ) ) ) ).
fof(fc63_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v3_glib_003(A) & v10_glib_003(A)) ) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k2_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k2_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k2_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k2_glib_003, B)) & v10_glib_003(k13_glib_000(A, k2_glib_003, B))) ) ) ) ) ) ).
fof(fc64_glib_003, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v3_glib_003(A) & v10_glib_003(A)) ) ) ) ) )  =>  (v1_relat_1(k13_glib_000(A, k3_glib_003, B)) &  (v4_relat_1(k13_glib_000(A, k3_glib_003, B), k4_ordinal1) &  (v1_funct_1(k13_glib_000(A, k3_glib_003, B)) &  (v1_finset_1(k13_glib_000(A, k3_glib_003, B)) & v10_glib_003(k13_glib_000(A, k3_glib_003, B))) ) ) ) ) ) ).
fof(fc65_glib_003, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) & v2_glib_003(A)) ) ) ) ) )  =>  (v1_relat_1(k12_glib_003(A, B, C)) &  (v4_relat_1(k12_glib_003(A, B, C), k4_ordinal1) &  (v1_funct_1(k12_glib_003(A, B, C)) &  (v1_finset_1(k12_glib_003(A, B, C)) &  (v1_glib_000(k12_glib_003(A, B, C)) &  (v2_glib_000(k12_glib_003(A, B, C)) & v2_glib_003(k12_glib_003(A, B, C))) ) ) ) ) ) ) ) ).
fof(fc66_glib_003, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v3_glib_000(A) & v2_glib_003(A)) ) ) ) ) )  =>  (v1_relat_1(k12_glib_003(A, B, C)) &  (v4_relat_1(k12_glib_003(A, B, C), k4_ordinal1) &  (v1_funct_1(k12_glib_003(A, B, C)) &  (v1_finset_1(k12_glib_003(A, B, C)) &  (v1_glib_000(k12_glib_003(A, B, C)) &  (v3_glib_000(k12_glib_003(A, B, C)) & v2_glib_003(k12_glib_003(A, B, C))) ) ) ) ) ) ) ) ).
fof(fc67_glib_003, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v4_glib_000(A) & v2_glib_003(A)) ) ) ) ) )  =>  (v1_relat_1(k12_glib_003(A, B, C)) &  (v4_relat_1(k12_glib_003(A, B, C), k4_ordinal1) &  (v1_funct_1(k12_glib_003(A, B, C)) &  (v1_finset_1(k12_glib_003(A, B, C)) &  (v1_glib_000(k12_glib_003(A, B, C)) &  (v4_glib_000(k12_glib_003(A, B, C)) & v2_glib_003(k12_glib_003(A, B, C))) ) ) ) ) ) ) ) ).
fof(fc68_glib_003, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  ( ~ (v4_glib_000(A))  & v2_glib_003(A)) ) ) ) ) )  =>  (v1_relat_1(k12_glib_003(A, B, C)) &  (v4_relat_1(k12_glib_003(A, B, C), k4_ordinal1) &  (v1_funct_1(k12_glib_003(A, B, C)) &  (v1_finset_1(k12_glib_003(A, B, C)) &  (v1_glib_000(k12_glib_003(A, B, C)) &  ( ~ (v4_glib_000(k12_glib_003(A, B, C)))  & v2_glib_003(k12_glib_003(A, B, C))) ) ) ) ) ) ) ) ).
fof(fc69_glib_003, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v5_glib_000(A) & v2_glib_003(A)) ) ) ) ) )  =>  (v1_relat_1(k12_glib_003(A, B, C)) &  (v4_relat_1(k12_glib_003(A, B, C), k4_ordinal1) &  (v1_funct_1(k12_glib_003(A, B, C)) &  (v1_finset_1(k12_glib_003(A, B, C)) &  (v1_glib_000(k12_glib_003(A, B, C)) &  (v5_glib_000(k12_glib_003(A, B, C)) & v2_glib_003(k12_glib_003(A, B, C))) ) ) ) ) ) ) ) ).
fof(fc70_glib_003, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v6_glib_000(A) & v2_glib_003(A)) ) ) ) ) )  =>  (v1_relat_1(k12_glib_003(A, B, C)) &  (v4_relat_1(k12_glib_003(A, B, C), k4_ordinal1) &  (v1_funct_1(k12_glib_003(A, B, C)) &  (v1_finset_1(k12_glib_003(A, B, C)) &  (v1_glib_000(k12_glib_003(A, B, C)) &  (v6_glib_000(k12_glib_003(A, B, C)) & v2_glib_003(k12_glib_003(A, B, C))) ) ) ) ) ) ) ) ).
fof(fc71_glib_003, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_002(A) & v2_glib_003(A)) ) ) ) ) )  =>  (v1_relat_1(k12_glib_003(A, B, C)) &  (v4_relat_1(k12_glib_003(A, B, C), k4_ordinal1) &  (v1_funct_1(k12_glib_003(A, B, C)) &  (v1_finset_1(k12_glib_003(A, B, C)) &  (v1_glib_000(k12_glib_003(A, B, C)) &  (v1_glib_002(k12_glib_003(A, B, C)) & v2_glib_003(k12_glib_003(A, B, C))) ) ) ) ) ) ) ) ).
fof(fc72_glib_003, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_002(A) & v2_glib_003(A)) ) ) ) ) )  =>  (v1_relat_1(k12_glib_003(A, B, C)) &  (v4_relat_1(k12_glib_003(A, B, C), k4_ordinal1) &  (v1_funct_1(k12_glib_003(A, B, C)) &  (v1_finset_1(k12_glib_003(A, B, C)) &  (v1_glib_000(k12_glib_003(A, B, C)) &  (v2_glib_002(k12_glib_003(A, B, C)) & v2_glib_003(k12_glib_003(A, B, C))) ) ) ) ) ) ) ) ).
fof(fc73_glib_003, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v2_glib_003(A)) ) ) ) ) )  =>  (v1_relat_1(k12_glib_003(A, B, C)) &  (v4_relat_1(k12_glib_003(A, B, C), k4_ordinal1) &  (v1_funct_1(k12_glib_003(A, B, C)) &  (v1_finset_1(k12_glib_003(A, B, C)) &  (v1_glib_000(k12_glib_003(A, B, C)) &  (v1_glib_003(k12_glib_003(A, B, C)) & v2_glib_003(k12_glib_003(A, B, C))) ) ) ) ) ) ) ) ).
fof(fc74_glib_003, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_003(A) & v3_glib_003(A)) ) ) ) ) )  =>  (v1_relat_1(k12_glib_003(A, B, C)) &  (v4_relat_1(k12_glib_003(A, B, C), k4_ordinal1) &  (v1_funct_1(k12_glib_003(A, B, C)) &  (v1_finset_1(k12_glib_003(A, B, C)) &  (v1_glib_000(k12_glib_003(A, B, C)) &  (v2_glib_003(k12_glib_003(A, B, C)) & v3_glib_003(k12_glib_003(A, B, C))) ) ) ) ) ) ) ) ).
fof(fc75_glib_003, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) &  (v2_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  =>  (v1_relat_1(k12_glib_003(A, B, C)) &  (v4_relat_1(k12_glib_003(A, B, C), k4_ordinal1) &  (v1_funct_1(k12_glib_003(A, B, C)) &  (v1_finset_1(k12_glib_003(A, B, C)) &  (v1_glib_000(k12_glib_003(A, B, C)) &  (v2_glib_003(k12_glib_003(A, B, C)) & v7_glib_003(k12_glib_003(A, B, C))) ) ) ) ) ) ) ) ).
fof(fc76_glib_003, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) &  (v2_glib_003(A) & v8_glib_003(A)) ) ) ) ) ) )  =>  (v1_relat_1(k12_glib_003(A, B, C)) &  (v4_relat_1(k12_glib_003(A, B, C), k4_ordinal1) &  (v1_funct_1(k12_glib_003(A, B, C)) &  (v1_finset_1(k12_glib_003(A, B, C)) &  (v1_glib_000(k12_glib_003(A, B, C)) &  (v2_glib_003(k12_glib_003(A, B, C)) & v8_glib_003(k12_glib_003(A, B, C))) ) ) ) ) ) ) ) ).
fof(fc77_glib_003, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_003(A) & v9_glib_003(A)) ) ) ) ) )  & v1_xreal_0(C))  =>  (v1_relat_1(k12_glib_003(A, B, C)) &  (v4_relat_1(k12_glib_003(A, B, C), k4_ordinal1) &  (v1_funct_1(k12_glib_003(A, B, C)) &  (v1_finset_1(k12_glib_003(A, B, C)) &  (v1_glib_000(k12_glib_003(A, B, C)) &  (v2_glib_003(k12_glib_003(A, B, C)) & v9_glib_003(k12_glib_003(A, B, C))) ) ) ) ) ) ) ) ).
fof(fc78_glib_003, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_003(A) &  (v3_glib_003(A) & v10_glib_003(A)) ) ) ) ) ) )  =>  (v1_relat_1(k12_glib_003(A, B, C)) &  (v4_relat_1(k12_glib_003(A, B, C), k4_ordinal1) &  (v1_funct_1(k12_glib_003(A, B, C)) &  (v1_finset_1(k12_glib_003(A, B, C)) &  (v1_glib_000(k12_glib_003(A, B, C)) &  (v2_glib_003(k12_glib_003(A, B, C)) & v10_glib_003(k12_glib_003(A, B, C))) ) ) ) ) ) ) ) ).
fof(fc79_glib_003, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) & v3_glib_003(A)) ) ) ) ) )  =>  (v1_relat_1(k13_glib_003(A, B, C)) &  (v4_relat_1(k13_glib_003(A, B, C), k4_ordinal1) &  (v1_funct_1(k13_glib_003(A, B, C)) &  (v1_finset_1(k13_glib_003(A, B, C)) &  (v1_glib_000(k13_glib_003(A, B, C)) &  (v2_glib_000(k13_glib_003(A, B, C)) & v3_glib_003(k13_glib_003(A, B, C))) ) ) ) ) ) ) ) ).
fof(fc80_glib_003, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v3_glib_000(A) & v3_glib_003(A)) ) ) ) ) )  =>  (v1_relat_1(k13_glib_003(A, B, C)) &  (v4_relat_1(k13_glib_003(A, B, C), k4_ordinal1) &  (v1_funct_1(k13_glib_003(A, B, C)) &  (v1_finset_1(k13_glib_003(A, B, C)) &  (v1_glib_000(k13_glib_003(A, B, C)) &  (v3_glib_000(k13_glib_003(A, B, C)) & v3_glib_003(k13_glib_003(A, B, C))) ) ) ) ) ) ) ) ).
fof(fc81_glib_003, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v4_glib_000(A) & v3_glib_003(A)) ) ) ) ) )  =>  (v1_relat_1(k13_glib_003(A, B, C)) &  (v4_relat_1(k13_glib_003(A, B, C), k4_ordinal1) &  (v1_funct_1(k13_glib_003(A, B, C)) &  (v1_finset_1(k13_glib_003(A, B, C)) &  (v1_glib_000(k13_glib_003(A, B, C)) &  (v4_glib_000(k13_glib_003(A, B, C)) & v3_glib_003(k13_glib_003(A, B, C))) ) ) ) ) ) ) ) ).
fof(fc82_glib_003, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  ( ~ (v4_glib_000(A))  & v3_glib_003(A)) ) ) ) ) )  =>  (v1_relat_1(k13_glib_003(A, B, C)) &  (v4_relat_1(k13_glib_003(A, B, C), k4_ordinal1) &  (v1_funct_1(k13_glib_003(A, B, C)) &  (v1_finset_1(k13_glib_003(A, B, C)) &  (v1_glib_000(k13_glib_003(A, B, C)) &  ( ~ (v4_glib_000(k13_glib_003(A, B, C)))  & v3_glib_003(k13_glib_003(A, B, C))) ) ) ) ) ) ) ) ).
fof(fc83_glib_003, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v5_glib_000(A) & v3_glib_003(A)) ) ) ) ) )  =>  (v1_relat_1(k13_glib_003(A, B, C)) &  (v4_relat_1(k13_glib_003(A, B, C), k4_ordinal1) &  (v1_funct_1(k13_glib_003(A, B, C)) &  (v1_finset_1(k13_glib_003(A, B, C)) &  (v1_glib_000(k13_glib_003(A, B, C)) &  (v5_glib_000(k13_glib_003(A, B, C)) & v3_glib_003(k13_glib_003(A, B, C))) ) ) ) ) ) ) ) ).
fof(fc84_glib_003, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v6_glib_000(A) & v3_glib_003(A)) ) ) ) ) )  =>  (v1_relat_1(k13_glib_003(A, B, C)) &  (v4_relat_1(k13_glib_003(A, B, C), k4_ordinal1) &  (v1_funct_1(k13_glib_003(A, B, C)) &  (v1_finset_1(k13_glib_003(A, B, C)) &  (v1_glib_000(k13_glib_003(A, B, C)) &  (v6_glib_000(k13_glib_003(A, B, C)) & v3_glib_003(k13_glib_003(A, B, C))) ) ) ) ) ) ) ) ).
fof(fc85_glib_003, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_002(A) & v3_glib_003(A)) ) ) ) ) )  =>  (v1_relat_1(k13_glib_003(A, B, C)) &  (v4_relat_1(k13_glib_003(A, B, C), k4_ordinal1) &  (v1_funct_1(k13_glib_003(A, B, C)) &  (v1_finset_1(k13_glib_003(A, B, C)) &  (v1_glib_000(k13_glib_003(A, B, C)) &  (v1_glib_002(k13_glib_003(A, B, C)) & v3_glib_003(k13_glib_003(A, B, C))) ) ) ) ) ) ) ) ).
fof(fc86_glib_003, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_002(A) & v3_glib_003(A)) ) ) ) ) )  =>  (v1_relat_1(k13_glib_003(A, B, C)) &  (v4_relat_1(k13_glib_003(A, B, C), k4_ordinal1) &  (v1_funct_1(k13_glib_003(A, B, C)) &  (v1_finset_1(k13_glib_003(A, B, C)) &  (v1_glib_000(k13_glib_003(A, B, C)) &  (v2_glib_002(k13_glib_003(A, B, C)) & v3_glib_003(k13_glib_003(A, B, C))) ) ) ) ) ) ) ) ).
fof(fc87_glib_003, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v3_glib_003(A)) ) ) ) ) )  =>  (v1_relat_1(k13_glib_003(A, B, C)) &  (v4_relat_1(k13_glib_003(A, B, C), k4_ordinal1) &  (v1_funct_1(k13_glib_003(A, B, C)) &  (v1_finset_1(k13_glib_003(A, B, C)) &  (v1_glib_000(k13_glib_003(A, B, C)) &  (v1_glib_003(k13_glib_003(A, B, C)) & v3_glib_003(k13_glib_003(A, B, C))) ) ) ) ) ) ) ) ).
fof(fc88_glib_003, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_003(A) & v3_glib_003(A)) ) ) ) ) )  =>  (v1_relat_1(k13_glib_003(A, B, C)) &  (v4_relat_1(k13_glib_003(A, B, C), k4_ordinal1) &  (v1_funct_1(k13_glib_003(A, B, C)) &  (v1_finset_1(k13_glib_003(A, B, C)) &  (v1_glib_000(k13_glib_003(A, B, C)) &  (v2_glib_003(k13_glib_003(A, B, C)) & v3_glib_003(k13_glib_003(A, B, C))) ) ) ) ) ) ) ) ).
fof(fc89_glib_003, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) &  (v3_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  =>  (v1_relat_1(k13_glib_003(A, B, C)) &  (v4_relat_1(k13_glib_003(A, B, C), k4_ordinal1) &  (v1_funct_1(k13_glib_003(A, B, C)) &  (v1_finset_1(k13_glib_003(A, B, C)) &  (v1_glib_000(k13_glib_003(A, B, C)) &  (v3_glib_003(k13_glib_003(A, B, C)) & v7_glib_003(k13_glib_003(A, B, C))) ) ) ) ) ) ) ) ).
fof(fc90_glib_003, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) &  (v3_glib_003(A) & v8_glib_003(A)) ) ) ) ) ) )  =>  (v1_relat_1(k13_glib_003(A, B, C)) &  (v4_relat_1(k13_glib_003(A, B, C), k4_ordinal1) &  (v1_funct_1(k13_glib_003(A, B, C)) &  (v1_finset_1(k13_glib_003(A, B, C)) &  (v1_glib_000(k13_glib_003(A, B, C)) &  (v3_glib_003(k13_glib_003(A, B, C)) & v8_glib_003(k13_glib_003(A, B, C))) ) ) ) ) ) ) ) ).
fof(fc91_glib_003, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_003(A) &  (v3_glib_003(A) & v9_glib_003(A)) ) ) ) ) ) )  =>  (v1_relat_1(k13_glib_003(A, B, C)) &  (v4_relat_1(k13_glib_003(A, B, C), k4_ordinal1) &  (v1_funct_1(k13_glib_003(A, B, C)) &  (v1_finset_1(k13_glib_003(A, B, C)) &  (v1_glib_000(k13_glib_003(A, B, C)) &  (v3_glib_003(k13_glib_003(A, B, C)) & v9_glib_003(k13_glib_003(A, B, C))) ) ) ) ) ) ) ) ).
fof(fc92_glib_003, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v3_glib_003(A) & v10_glib_003(A)) ) ) ) ) )  & v1_xreal_0(C))  =>  (v1_relat_1(k13_glib_003(A, B, C)) &  (v4_relat_1(k13_glib_003(A, B, C), k4_ordinal1) &  (v1_funct_1(k13_glib_003(A, B, C)) &  (v1_finset_1(k13_glib_003(A, B, C)) &  (v1_glib_000(k13_glib_003(A, B, C)) &  (v3_glib_003(k13_glib_003(A, B, C)) & v10_glib_003(k13_glib_003(A, B, C))) ) ) ) ) ) ) ) ).
fof(cc4_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  ( (v1_glib_003(B) & v4_glib_003(B, A))  =>  (v1_glib_003(B) &  (v4_glib_003(B, A) & v7_glib_003(B)) ) ) ) ) ) ) ).
fof(cc5_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v8_glib_003(A)) ) ) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  ( (v1_glib_003(B) & v4_glib_003(B, A))  =>  (v1_glib_003(B) &  (v4_glib_003(B, A) & v8_glib_003(B)) ) ) ) ) ) ) ).
fof(cc6_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_003(A) & v9_glib_003(A)) ) ) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  ( (v2_glib_003(B) & v5_glib_003(B, A))  =>  (v2_glib_003(B) &  (v5_glib_003(B, A) & v9_glib_003(B)) ) ) ) ) ) ) ).
fof(cc7_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v3_glib_003(A) & v10_glib_003(A)) ) ) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  ( (v3_glib_003(B) & v6_glib_003(B, A))  =>  (v3_glib_003(B) &  (v6_glib_003(B, A) & v10_glib_003(B)) ) ) ) ) ) ) ).
fof(rc20_glib_003, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v12_glib_000(A) &  (v12_glib_003(A) &  (v13_glib_003(A) & v14_glib_003(A)) ) ) ) ) ) ) ) ) ).
fof(fc93_glib_003, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v12_glib_000(A) & v12_glib_003(A)) ) ) ) )  & v7_ordinal1(B))  =>  (v1_relat_1(k1_funct_1(A, B)) &  (v4_relat_1(k1_funct_1(A, B), k4_ordinal1) &  (v1_funct_1(k1_funct_1(A, B)) &  (v1_finset_1(k1_funct_1(A, B)) &  (v1_glib_000(k1_funct_1(A, B)) & v1_glib_003(k1_funct_1(A, B))) ) ) ) ) ) ) ).
fof(fc94_glib_003, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v12_glib_000(A) & v13_glib_003(A)) ) ) ) )  & v7_ordinal1(B))  =>  (v1_relat_1(k1_funct_1(A, B)) &  (v4_relat_1(k1_funct_1(A, B), k4_ordinal1) &  (v1_funct_1(k1_funct_1(A, B)) &  (v1_finset_1(k1_funct_1(A, B)) &  (v1_glib_000(k1_funct_1(A, B)) & v2_glib_003(k1_funct_1(A, B))) ) ) ) ) ) ) ).
fof(fc95_glib_003, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v12_glib_000(A) & v14_glib_003(A)) ) ) ) )  & v7_ordinal1(B))  =>  (v1_relat_1(k1_funct_1(A, B)) &  (v4_relat_1(k1_funct_1(A, B), k4_ordinal1) &  (v1_funct_1(k1_funct_1(A, B)) &  (v1_finset_1(k1_funct_1(A, B)) &  (v1_glib_000(k1_funct_1(A, B)) & v3_glib_003(k1_funct_1(A, B))) ) ) ) ) ) ) ).
fof(cc8_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v12_glib_000(A) &  (v12_glib_003(A) &  (v13_glib_003(A) &  (v14_glib_003(A) & v19_glib_003(A)) ) ) ) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v12_glib_000(A) &  (v12_glib_003(A) &  (v13_glib_003(A) &  (v14_glib_003(A) &  (v15_glib_003(A) &  (v17_glib_003(A) & v18_glib_003(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc9_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v12_glib_000(A) &  (v12_glib_003(A) &  (v13_glib_003(A) &  (v14_glib_003(A) &  (v15_glib_003(A) &  (v17_glib_003(A) & v18_glib_003(A)) ) ) ) ) ) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v12_glib_000(A) &  (v12_glib_003(A) &  (v13_glib_003(A) &  (v14_glib_003(A) & v19_glib_003(A)) ) ) ) ) ) ) ) ) ) ).
fof(rc21_glib_003, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v12_glib_000(A) &  (v13_glib_000(A) &  (v14_glib_000(A) &  (v15_glib_000(A) &  (v16_glib_000(A) &  (v18_glib_000(A) &  (v20_glib_000(A) &  (v8_glib_002(A) &  (v12_glib_003(A) &  (v13_glib_003(A) &  (v14_glib_003(A) &  (v16_glib_003(A) & v19_glib_003(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc96_glib_003, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v12_glib_000(A) &  (v12_glib_003(A) & v15_glib_003(A)) ) ) ) ) )  & v7_ordinal1(B))  =>  (v1_relat_1(k1_funct_1(A, B)) &  (v4_relat_1(k1_funct_1(A, B), k4_ordinal1) &  (v1_funct_1(k1_funct_1(A, B)) &  (v1_finset_1(k1_funct_1(A, B)) &  (v1_glib_000(k1_funct_1(A, B)) &  (v1_glib_003(k1_funct_1(A, B)) & v7_glib_003(k1_funct_1(A, B))) ) ) ) ) ) ) ) ).
fof(fc97_glib_003, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v12_glib_000(A) &  (v12_glib_003(A) & v16_glib_003(A)) ) ) ) ) )  & v7_ordinal1(B))  =>  (v1_relat_1(k1_funct_1(A, B)) &  (v4_relat_1(k1_funct_1(A, B), k4_ordinal1) &  (v1_funct_1(k1_funct_1(A, B)) &  (v1_finset_1(k1_funct_1(A, B)) &  (v1_glib_000(k1_funct_1(A, B)) &  (v1_glib_003(k1_funct_1(A, B)) & v8_glib_003(k1_funct_1(A, B))) ) ) ) ) ) ) ) ).
fof(fc98_glib_003, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v12_glib_000(A) &  (v13_glib_003(A) & v17_glib_003(A)) ) ) ) ) )  & v7_ordinal1(B))  =>  (v1_relat_1(k1_funct_1(A, B)) &  (v4_relat_1(k1_funct_1(A, B), k4_ordinal1) &  (v1_funct_1(k1_funct_1(A, B)) &  (v1_finset_1(k1_funct_1(A, B)) &  (v1_glib_000(k1_funct_1(A, B)) &  (v2_glib_003(k1_funct_1(A, B)) & v9_glib_003(k1_funct_1(A, B))) ) ) ) ) ) ) ) ).
fof(fc99_glib_003, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v12_glib_000(A) &  (v14_glib_003(A) & v18_glib_003(A)) ) ) ) ) )  & v7_ordinal1(B))  =>  (v1_relat_1(k1_funct_1(A, B)) &  (v4_relat_1(k1_funct_1(A, B), k4_ordinal1) &  (v1_funct_1(k1_funct_1(A, B)) &  (v1_finset_1(k1_funct_1(A, B)) &  (v1_glib_000(k1_funct_1(A, B)) &  (v3_glib_003(k1_funct_1(A, B)) & v10_glib_003(k1_funct_1(A, B))) ) ) ) ) ) ) ) ).
fof(t1_glib_003, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  (! [J] :  (! [K] :  ( (v1_relat_1(K) &  (v1_funct_1(K) & v1_finseq_1(K)) )  =>  (K=k7_finseq_1(k7_finseq_1(k7_finseq_1(k7_finseq_1(k7_finseq_1(k7_finseq_1(k7_finseq_1(k7_finseq_1(k7_finseq_1(k9_finseq_1(A), k9_finseq_1(B)), k9_finseq_1(C)), k9_finseq_1(D)), k9_finseq_1(E)), k9_finseq_1(F)), k9_finseq_1(G)), k9_finseq_1(H)), k9_finseq_1(I)), k9_finseq_1(J)) =>  (k3_finseq_1(K)=10 &  (k1_funct_1(K, 1)=A &  (k1_funct_1(K, 2)=B &  (k1_funct_1(K, 3)=C &  (k1_funct_1(K, 4)=D &  (k1_funct_1(K, 5)=E &  (k1_funct_1(K, 6)=F &  (k1_funct_1(K, 7)=G &  (k1_funct_1(K, 8)=H &  (k1_funct_1(K, 9)=I & k1_funct_1(K, 10)=J) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_glib_003, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  ( (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r2_tarski(C, k4_finseq_1(A)) => r1_xxreal_0(k5_numbers, k1_funct_1(A, C))) ) )  => r1_xxreal_0(k18_rvsum_1(k1_glib_003(k1_numbers, A, B)), k18_rvsum_1(A))) ) ) ) ) ).
fof(d1_glib_003, axiom, k2_glib_003=5).
fof(d2_glib_003, axiom, k3_glib_003=6).
fof(d3_glib_003, axiom, k4_glib_003=7).
fof(d4_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (v1_glib_003(A) <=>  (r2_tarski(k2_glib_003, k1_relset_1(k4_ordinal1, A)) &  (v1_relat_1(k1_funct_1(A, k2_glib_003)) &  (v4_relat_1(k1_funct_1(A, k2_glib_003), k7_glib_000(A)) &  (v1_funct_1(k1_funct_1(A, k2_glib_003)) & v1_partfun1(k1_funct_1(A, k2_glib_003), k7_glib_000(A))) ) ) ) ) ) ) ).
fof(d5_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (v2_glib_003(A) <=>  (r2_tarski(k3_glib_003, k1_relset_1(k4_ordinal1, A)) &  (? [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  &  (k1_funct_1(A, k3_glib_003)=B & r1_tarski(k9_xtuple_0(B), k7_glib_000(A))) ) ) ) ) ) ) ).
fof(d6_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (v3_glib_003(A) <=>  (r2_tarski(k4_glib_003, k1_relset_1(k4_ordinal1, A)) &  (? [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  &  (k1_funct_1(A, k4_glib_003)=B & r1_tarski(k9_xtuple_0(B), k6_glib_000(A))) ) ) ) ) ) ) ).
fof(d7_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_003(A)) ) ) ) )  => k5_glib_003(A)=k1_funct_1(A, k2_glib_003)) ) ).
fof(d8_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_003(A)) ) ) ) )  => k6_glib_003(A)=k1_funct_1(A, k3_glib_003)) ) ).
fof(d9_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_003(A)) ) ) ) )  => k7_glib_003(A)=k1_funct_1(A, k4_glib_003)) ) ).
fof(d10_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_003(A)) ) ) ) )  =>  (! [B] :  ( (v1_glib_003(B) & m1_glib_000(B, A))  =>  (v4_glib_003(B, A) <=> k5_glib_003(B)=k5_relat_1(k5_glib_003(A), k25_glib_000(A, B))) ) ) ) ) ).
fof(d11_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_003(A)) ) ) ) )  =>  (! [B] :  ( (v2_glib_003(B) & m1_glib_000(B, A))  =>  (v5_glib_003(B, A) <=> k6_glib_003(B)=k5_relat_1(k6_glib_003(A), k25_glib_000(A, B))) ) ) ) ) ).
fof(d12_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_003(A)) ) ) ) )  =>  (! [B] :  ( (v3_glib_003(B) & m1_glib_000(B, A))  =>  (v6_glib_003(B, A) <=> k7_glib_003(B)=k5_relat_1(k7_glib_003(A), k24_glib_000(A, B))) ) ) ) ) ).
fof(d13_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_003(A)) ) ) ) )  =>  (v7_glib_003(A) <=> v3_valued_0(k5_glib_003(A))) ) ) ).
fof(d14_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_003(A)) ) ) ) )  =>  (v8_glib_003(A) <=> r1_tarski(k10_xtuple_0(k5_glib_003(A)), k8_graph_5)) ) ) ).
fof(d15_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_003(A)) ) ) ) )  =>  (v9_glib_003(A) <=> v3_valued_0(k6_glib_003(A))) ) ) ).
fof(d16_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_003(A)) ) ) ) )  =>  (v10_glib_003(A) <=> v3_valued_0(k7_glib_003(A))) ) ) ).
fof(d17_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) &  (v2_glib_003(A) & v3_glib_003(A)) ) ) ) ) ) )  =>  (v11_glib_003(A) <=>  (v7_glib_003(A) &  (v9_glib_003(A) & v10_glib_003(A)) ) ) ) ) ).
fof(d18_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_003(A)) ) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (C=k8_glib_003(A, B) <=>  (k3_finseq_1(C)=k3_finseq_1(k12_glib_001(A, B)) &  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, k3_finseq_1(C)))  => k1_funct_1(C, D)=k1_funct_1(k5_glib_003(A), k1_funct_1(k12_glib_001(A, B), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) => k10_glib_003(A, B)=k18_rvsum_1(k9_glib_003(A, B))) ) ) ) ).
fof(d20_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_003(A)) ) ) ) )  => k11_glib_003(A)=k9_xtuple_0(k6_glib_003(A))) ) ).
fof(d21_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_003(A)) ) ) ) )  =>  (! [B] :  (! [C] :  ( (r2_hidden(B, k7_glib_000(A)) => k12_glib_003(A, B, C)=k13_glib_000(A, k3_glib_003, k1_funct_4(k6_glib_003(A), k17_funcop_1(B, C))))  &  ( ~ (r2_hidden(B, k7_glib_000(A)))  => k12_glib_003(A, B, C)=A) ) ) ) ) ) ).
fof(d22_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_003(A)) ) ) ) )  =>  (! [B] :  (! [C] :  ( (r2_hidden(B, k6_glib_000(A)) => k13_glib_003(A, B, C)=k13_glib_000(A, k4_glib_003, k1_funct_4(k7_glib_003(A), k17_funcop_1(B, C))))  &  ( ~ (r2_hidden(B, k6_glib_000(A)))  => k13_glib_003(A, B, C)=A) ) ) ) ) ) ).
fof(d23_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_003(A)) ) ) ) )  => k14_glib_003(A)=k9_xtuple_0(k7_glib_003(A))) ) ).
fof(d24_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) & v12_glib_000(A)) ) ) )  =>  (v12_glib_003(A) <=>  (! [B] :  (v7_ordinal1(B) => v1_glib_003(k1_funct_1(A, B))) ) ) ) ) ).
fof(d25_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) & v12_glib_000(A)) ) ) )  =>  (v13_glib_003(A) <=>  (! [B] :  (v7_ordinal1(B) => v2_glib_003(k1_funct_1(A, B))) ) ) ) ) ).
fof(d26_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) & v12_glib_000(A)) ) ) )  =>  (v14_glib_003(A) <=>  (! [B] :  (v7_ordinal1(B) => v3_glib_003(k1_funct_1(A, B))) ) ) ) ) ).
fof(d27_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v12_glib_000(A) & v12_glib_003(A)) ) ) ) )  =>  (v15_glib_003(A) <=>  (! [B] :  (v7_ordinal1(B) => v7_glib_003(k1_funct_1(A, B))) ) ) ) ) ).
fof(d28_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v12_glib_000(A) & v12_glib_003(A)) ) ) ) )  =>  (v16_glib_003(A) <=>  (! [B] :  (v7_ordinal1(B) => v8_glib_003(k1_funct_1(A, B))) ) ) ) ) ).
fof(d29_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v12_glib_000(A) & v13_glib_003(A)) ) ) ) )  =>  (v17_glib_003(A) <=>  (! [B] :  (v7_ordinal1(B) => v9_glib_003(k1_funct_1(A, B))) ) ) ) ) ).
fof(d30_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v12_glib_000(A) & v14_glib_003(A)) ) ) ) )  =>  (v18_glib_003(A) <=>  (! [B] :  (v7_ordinal1(B) => v10_glib_003(k1_funct_1(A, B))) ) ) ) ) ).
fof(d31_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v12_glib_000(A) &  (v12_glib_003(A) &  (v13_glib_003(A) & v14_glib_003(A)) ) ) ) ) ) )  =>  (v19_glib_003(A) <=>  (! [B] :  (v7_ordinal1(B) => v11_glib_003(k1_funct_1(A, B))) ) ) ) ) ).
fof(t3_glib_003, axiom,  (k2_glib_003=5 &  (k3_glib_003=6 & k4_glib_003=7) ) ).
fof(t4_glib_003, axiom,  ( (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_003(A)) ) ) ) )  => k5_glib_003(A)=k1_funct_1(A, k2_glib_003)) )  &  ( (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_003(A)) ) ) ) )  => k6_glib_003(A)=k1_funct_1(A, k3_glib_003)) )  &  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_003(A)) ) ) ) )  => k7_glib_003(A)=k1_funct_1(A, k4_glib_003)) ) ) ) ).
fof(t5_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_003(A)) ) ) ) )  => r1_tarski(k9_xtuple_0(k6_glib_003(A)), k7_glib_000(A))) ) ).
fof(t6_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_003(A)) ) ) ) )  => r1_tarski(k9_xtuple_0(k7_glib_003(A)), k6_glib_000(A))) ) ).
fof(t7_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (r5_glib_000(A, k13_glib_000(A, k2_glib_003, B)) &  (r5_glib_000(A, k13_glib_000(A, k3_glib_003, B)) & r5_glib_000(A, k13_glib_000(A, k4_glib_003, B))) ) ) ) ) ).
fof(t8_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_003(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) & v1_glib_003(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_glib_000(C) & v1_glib_003(C)) ) ) ) )  =>  ( (r5_glib_000(A, B) &  (k5_glib_003(A)=k5_glib_003(B) &  (v1_glib_003(A) &  (v4_glib_003(A, C) & m1_glib_000(A, C)) ) ) )  =>  (v1_glib_003(B) &  (v4_glib_003(B, C) & m1_glib_000(B, C)) ) ) ) ) ) ) ) ) ).
fof(t9_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_003(A)) ) ) ) )  =>  (! [B] :  ( (v1_glib_003(B) &  (v4_glib_003(B, A) & m1_glib_000(B, A)) )  =>  (! [C] :  ( (v1_glib_003(C) &  (v4_glib_003(C, B) & m1_glib_000(C, B)) )  =>  (v1_glib_003(C) &  (v4_glib_003(C, A) & m1_glib_000(C, A)) ) ) ) ) ) ) ) ).
fof(t10_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_003(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) & v1_glib_003(B)) ) ) ) )  =>  (! [C] :  ( (v1_glib_003(C) &  (v4_glib_003(C, A) & m1_glib_000(C, A)) )  =>  ( (r5_glib_000(A, B) & k5_glib_003(A)=k5_glib_003(B))  =>  (v1_glib_003(C) &  (v4_glib_003(C, B) & m1_glib_000(C, B)) ) ) ) ) ) ) ) ) ).
fof(t11_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_003(A)) ) ) ) )  =>  (! [B] :  ( (v1_glib_003(B) &  (v4_glib_003(B, A) & m1_glib_000(B, A)) )  =>  (! [C] :  (r2_tarski(C, k25_glib_000(A, B)) => k1_funct_1(k5_glib_003(B), C)=k1_funct_1(k5_glib_003(A), C)) ) ) ) ) ) ).
fof(t12_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_003(A)) ) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (v3_glib_001(B, A) => k8_glib_003(A, B)=k1_xboole_0) ) ) ) ) ).
fof(t13_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_003(A)) ) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) => k3_finseq_1(k8_glib_003(A, B))=k15_glib_001(A, B)) ) ) ) ).
fof(t14_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_003(A)) ) ) ) )  =>  (! [B] :  (! [C] :  (! [D] :  (r1_glib_000(A, B, C, D) => k8_glib_003(A, k2_glib_001(A, B, C, D))=k9_finseq_1(k1_funct_1(k5_glib_003(A), D))) ) ) ) ) ) ).
fof(t15_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_003(A)) ) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) => k8_glib_003(A, k6_glib_001(A, B))=k3_finseq_5(k8_glib_003(A, B))) ) ) ) ).
fof(t16_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_003(A)) ) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m3_glib_001(C, A) =>  (k4_glib_001(A, B)=k3_glib_001(A, C) => k8_glib_003(A, k7_glib_001(A, B, C))=k7_finseq_1(k8_glib_003(A, B), k8_glib_003(A, C))) ) ) ) ) ) ) ).
fof(t17_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_003(A)) ) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (r2_tarski(C, k28_glib_000(A, k4_glib_001(A, B))) => k8_glib_003(A, k10_glib_001(A, B, C))=k7_finseq_1(k8_glib_003(A, B), k9_finseq_1(k1_funct_1(k5_glib_003(A), C)))) ) ) ) ) ) ).
fof(t18_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m4_glib_001(C, A, B) =>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(k9_glib_003(A, B))) & k9_glib_003(A, C)=k1_glib_003(k1_numbers, k9_glib_003(A, B), D)) ) ) ) ) ) ) ) ).
fof(t19_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_003(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) & v1_glib_003(B)) ) ) ) )  =>  (! [C] :  (m3_glib_001(C, A) =>  (! [D] :  (m3_glib_001(D, B) =>  ( (C=D & k5_glib_003(A)=k5_glib_003(B))  => k8_glib_003(A, C)=k8_glib_003(B, D)) ) ) ) ) ) ) ) ) ).
fof(t20_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_003(A)) ) ) ) )  =>  (! [B] :  ( (v1_glib_003(B) &  (v4_glib_003(B, A) & m1_glib_000(B, A)) )  =>  (! [C] :  (m3_glib_001(C, A) =>  (! [D] :  (m3_glib_001(D, B) =>  (C=D => k8_glib_003(A, C)=k8_glib_003(B, D)) ) ) ) ) ) ) ) ) ).
fof(t21_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (v3_glib_001(B, A) => k10_glib_003(A, B)=k5_numbers) ) ) ) ) ).
fof(t22_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (r1_glib_000(A, B, C, D) => k10_glib_003(A, k2_glib_001(A, B, C, D))=k1_funct_1(k5_glib_003(A), D)) ) ) ) ) ) ) ) ).
fof(t23_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) => k10_glib_003(A, B)=k10_glib_003(A, k6_glib_001(A, B))) ) ) ) ).
fof(t24_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m3_glib_001(C, A) =>  (k4_glib_001(A, B)=k3_glib_001(A, C) => k10_glib_003(A, k7_glib_001(A, B, C))=k2_xcmplx_0(k10_glib_003(A, B), k10_glib_003(A, C))) ) ) ) ) ) ) ).
fof(t25_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (r2_tarski(C, k28_glib_000(A, k4_glib_001(A, B))) => k10_glib_003(A, k10_glib_001(A, B, C))=k2_xcmplx_0(k10_glib_003(A, B), k1_funct_1(k5_glib_003(A), C))) ) ) ) ) ) ).
fof(t26_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) &  (v1_glib_003(B) & v7_glib_003(B)) ) ) ) ) )  =>  (! [C] :  (m3_glib_001(C, A) =>  (! [D] :  (m3_glib_001(D, B) =>  ( (C=D & k5_glib_003(A)=k5_glib_003(B))  => k10_glib_003(A, C)=k10_glib_003(B, D)) ) ) ) ) ) ) ) ) ).
fof(t27_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_glib_003(B) &  (v4_glib_003(B, A) & m1_glib_000(B, A)) )  =>  (! [C] :  (m3_glib_001(C, A) =>  (! [D] :  (m3_glib_001(D, B) =>  (C=D => k10_glib_003(A, C)=k10_glib_003(B, D)) ) ) ) ) ) ) ) ) ).
fof(t28_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v8_glib_003(A)) ) ) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r2_tarski(C, k4_finseq_1(k9_glib_003(A, B))) => r1_xxreal_0(k5_numbers, k1_funct_1(k9_glib_003(A, B), C))) ) ) ) ) ) ) ).
fof(t29_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v8_glib_003(A)) ) ) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) => r1_xxreal_0(k5_numbers, k10_glib_003(A, B))) ) ) ) ).
fof(t30_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v8_glib_003(A)) ) ) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m4_glib_001(C, A, B) => r1_xxreal_0(k10_glib_003(A, C), k10_glib_003(A, B))) ) ) ) ) ) ).
fof(t31_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v8_glib_003(A)) ) ) ) ) )  =>  (! [B] :  (r2_tarski(B, k7_glib_000(A)) => r1_xxreal_0(k5_numbers, k1_funct_1(k5_glib_003(A), B))) ) ) ) ).
fof(t32_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_003(A)) ) ) ) )  =>  (! [B] :  (! [C] :  (r2_tarski(B, k7_glib_000(A)) => k6_glib_003(k12_glib_003(A, B, C))=k1_funct_4(k6_glib_003(A), k17_funcop_1(B, C))) ) ) ) ) ).
fof(t33_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_003(A)) ) ) ) )  =>  (! [B] :  (! [C] :  (r2_tarski(B, k7_glib_000(A)) => k1_funct_1(k6_glib_003(k12_glib_003(A, B, C)), B)=C) ) ) ) ) ).
fof(t34_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_003(A)) ) ) ) )  =>  (! [B] :  (! [C] : r5_glib_000(A, k12_glib_003(A, B, C))) ) ) ) ).
fof(t35_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v2_glib_003(A)) ) ) ) ) )  =>  (! [B] :  (! [C] : k5_glib_003(A)=k5_glib_003(k12_glib_003(A, B, C))) ) ) ) ).
fof(t36_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_003(A) & v3_glib_003(A)) ) ) ) ) )  =>  (! [B] :  (! [C] : k7_glib_003(A)=k7_glib_003(k12_glib_003(A, B, C))) ) ) ) ).
fof(t37_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_003(A)) ) ) ) )  =>  (! [B] :  (! [C] :  (! [D] :  ( ~ (B=C)  => k1_funct_1(k6_glib_003(k12_glib_003(A, B, D)), C)=k1_funct_1(k6_glib_003(A), C)) ) ) ) ) ) ).
fof(t38_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_003(A)) ) ) ) )  =>  (! [B] :  (! [C] :  (r2_tarski(B, k6_glib_000(A)) => k7_glib_003(k13_glib_003(A, B, C))=k1_funct_4(k7_glib_003(A), k17_funcop_1(B, C))) ) ) ) ) ).
fof(t39_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_003(A)) ) ) ) )  =>  (! [B] :  (! [C] :  (r2_tarski(B, k6_glib_000(A)) => k1_funct_1(k7_glib_003(k13_glib_003(A, B, C)), B)=C) ) ) ) ) ).
fof(t40_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_003(A)) ) ) ) )  =>  (! [B] :  (! [C] : r5_glib_000(A, k13_glib_003(A, B, C))) ) ) ) ).
fof(t41_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v3_glib_003(A)) ) ) ) ) )  =>  (! [B] :  (! [C] : k5_glib_003(A)=k5_glib_003(k13_glib_003(A, B, C))) ) ) ) ).
fof(t42_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_003(A) & v3_glib_003(A)) ) ) ) ) )  =>  (! [B] :  (! [C] : k6_glib_003(A)=k6_glib_003(k13_glib_003(A, B, C))) ) ) ) ).
fof(t43_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_003(A)) ) ) ) )  =>  (! [B] :  (! [C] :  (! [D] :  ( ~ (B=C)  => k1_funct_1(k7_glib_003(k13_glib_003(A, B, D)), C)=k1_funct_1(k7_glib_003(A), C)) ) ) ) ) ) ).
fof(t44_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_003(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) & v2_glib_003(B)) ) ) ) )  =>  (k6_glib_003(A)=k6_glib_003(B) => k11_glib_003(A)=k11_glib_003(B)) ) ) ) ) ).
fof(t45_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_003(A)) ) ) ) )  =>  (! [B] :  (! [C] :  (r2_tarski(B, k7_glib_000(A)) => k11_glib_003(k12_glib_003(A, B, C))=k2_xboole_0(k11_glib_003(A), k1_tarski(B))) ) ) ) ) ).
fof(t46_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_003(A)) ) ) ) )  =>  (! [B] :  (! [C] :  (r2_tarski(B, k7_glib_000(A)) => r1_tarski(k11_glib_003(A), k11_glib_003(k12_glib_003(A, B, C)))) ) ) ) ) ).
fof(t47_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) & v2_glib_003(A)) ) ) ) ) )  =>  (! [B] :  (! [C] :  (r2_tarski(B, k7_glib_000(A)) =>  (r2_tarski(B, k11_glib_003(A)) | k4_card_1(k11_glib_003(k12_glib_003(A, B, C)))=k1_nat_1(k4_card_1(k11_glib_003(A)), 1)) ) ) ) ) ) ).
fof(t48_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_003(A)) ) ) ) )  =>  (! [B] :  (! [C] :  (! [D] :  (r2_tarski(C, k11_glib_003(k12_glib_003(A, B, D))) =>  (r2_tarski(C, k11_glib_003(A)) |  (B=C & r2_tarski(B, k7_glib_000(A))) ) ) ) ) ) ) ) ).
fof(t49_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_003(A) & v3_glib_003(A)) ) ) ) ) )  =>  (! [B] :  (! [C] : k11_glib_003(A)=k11_glib_003(k13_glib_003(A, B, C))) ) ) ) ).
fof(t50_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_003(A)) ) ) ) )  =>  (! [B] :  (! [C] :  (r2_tarski(B, k7_glib_000(A)) => r2_tarski(B, k11_glib_003(k12_glib_003(A, B, C)))) ) ) ) ) ).
fof(t51_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_003(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) & v3_glib_003(B)) ) ) ) )  =>  (k7_glib_003(A)=k7_glib_003(B) => k14_glib_003(A)=k14_glib_003(B)) ) ) ) ) ).
fof(t52_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_003(A)) ) ) ) )  =>  (! [B] :  (! [C] :  (r2_tarski(B, k6_glib_000(A)) => k14_glib_003(k13_glib_003(A, B, C))=k2_xboole_0(k14_glib_003(A), k1_tarski(B))) ) ) ) ) ).
fof(t53_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_003(A)) ) ) ) )  =>  (! [B] :  (! [C] :  (r2_tarski(B, k6_glib_000(A)) => r1_tarski(k14_glib_003(A), k14_glib_003(k13_glib_003(A, B, C)))) ) ) ) ) ).
fof(t54_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) & v3_glib_003(A)) ) ) ) ) )  =>  (! [B] :  (! [C] :  (r2_tarski(B, k6_glib_000(A)) =>  (r2_tarski(B, k14_glib_003(A)) | k4_card_1(k14_glib_003(k13_glib_003(A, B, C)))=k1_nat_1(k4_card_1(k14_glib_003(A)), 1)) ) ) ) ) ) ).
fof(t55_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_003(A)) ) ) ) )  =>  (! [B] :  (! [C] :  (! [D] :  (r2_tarski(C, k14_glib_003(k13_glib_003(A, B, D))) =>  (r2_tarski(C, k14_glib_003(A)) |  (B=C & r2_tarski(B, k6_glib_000(A))) ) ) ) ) ) ) ) ).
fof(t56_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_003(A) & v3_glib_003(A)) ) ) ) ) )  =>  (! [B] :  (! [C] : k14_glib_003(A)=k14_glib_003(k12_glib_003(A, B, C))) ) ) ) ).
fof(t57_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_003(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] : r2_tarski(B, k14_glib_003(k13_glib_003(A, B, C)))) ) ) ) ) ).
fof(dt_k1_glib_003, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, A) & m1_subset_1(C, k1_zfmisc_1(B)))  => m2_finseq_1(k1_glib_003(A, B, C), A)) ) ).
fof(redefinition_k1_glib_003, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, A) & m1_subset_1(C, k1_zfmisc_1(B)))  => k1_glib_003(A, B, C)=k15_finseq_1(C)) ) ).
fof(dt_k2_glib_003, axiom, m1_subset_1(k2_glib_003, k4_ordinal1)).
fof(dt_k3_glib_003, axiom, m1_subset_1(k3_glib_003, k4_ordinal1)).
fof(dt_k4_glib_003, axiom, m1_subset_1(k4_glib_003, k4_ordinal1)).
fof(dt_k5_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_003(A)) ) ) ) )  =>  (v1_relat_1(k5_glib_003(A)) &  (v4_relat_1(k5_glib_003(A), k7_glib_000(A)) &  (v1_funct_1(k5_glib_003(A)) & v1_partfun1(k5_glib_003(A), k7_glib_000(A))) ) ) ) ) ).
fof(dt_k6_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_003(A)) ) ) ) )  =>  (v1_relat_1(k6_glib_003(A)) & v1_funct_1(k6_glib_003(A))) ) ) ).
fof(dt_k7_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_003(A)) ) ) ) )  =>  (v1_relat_1(k7_glib_003(A)) & v1_funct_1(k7_glib_003(A))) ) ) ).
fof(dt_k8_glib_003, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_003(A)) ) ) ) )  & m3_glib_001(B, A))  =>  (v1_relat_1(k8_glib_003(A, B)) &  (v1_funct_1(k8_glib_003(A, B)) & v1_finseq_1(k8_glib_003(A, B))) ) ) ) ).
fof(dt_k9_glib_003, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  & m3_glib_001(B, A))  => m2_finseq_1(k9_glib_003(A, B), k1_numbers)) ) ).
fof(redefinition_k9_glib_003, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  & m3_glib_001(B, A))  => k9_glib_003(A, B)=k8_glib_003(A, B)) ) ).
fof(dt_k10_glib_003, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  & m3_glib_001(B, A))  => v1_xreal_0(k10_glib_003(A, B))) ) ).
fof(dt_k11_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_003(A)) ) ) ) )  => m1_subset_1(k11_glib_003(A), k1_zfmisc_1(k7_glib_000(A)))) ) ).
fof(dt_k12_glib_003, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_003(A)) ) ) ) )  =>  (v1_relat_1(k12_glib_003(A, B, C)) &  (v4_relat_1(k12_glib_003(A, B, C), k4_ordinal1) &  (v1_funct_1(k12_glib_003(A, B, C)) &  (v1_finset_1(k12_glib_003(A, B, C)) &  (v1_glib_000(k12_glib_003(A, B, C)) & v2_glib_003(k12_glib_003(A, B, C))) ) ) ) ) ) ) ).
fof(dt_k13_glib_003, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_003(A)) ) ) ) )  =>  (v1_relat_1(k13_glib_003(A, B, C)) &  (v4_relat_1(k13_glib_003(A, B, C), k4_ordinal1) &  (v1_funct_1(k13_glib_003(A, B, C)) &  (v1_finset_1(k13_glib_003(A, B, C)) &  (v1_glib_000(k13_glib_003(A, B, C)) & v3_glib_003(k13_glib_003(A, B, C))) ) ) ) ) ) ) ).
fof(dt_k14_glib_003, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_003(A)) ) ) ) )  => m1_subset_1(k14_glib_003(A), k1_zfmisc_1(k6_glib_000(A)))) ) ).
fof(fc1_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_003(A)) ) ) ) )  =>  (v1_relat_1(k5_relat_1(A, k2_glib_004)) &  (v1_glib_000(k5_relat_1(A, k2_glib_004)) & v1_glib_003(k5_relat_1(A, k2_glib_004))) ) ) ) ).
fof(fc2_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) & v1_glib_003(A)) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k3_glib_004(A)))  & v1_finset_1(k3_glib_004(A))) ) ) ).
fof(fc3_glib_004, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  & m1_subset_1(B, k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k1_numbers), k1_zfmisc_1(k7_glib_000(A)))))  => v1_finset_1(k1_xtuple_0(B))) ) ).
fof(fc4_glib_004, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  & m1_subset_1(B, k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k1_numbers), k1_zfmisc_1(k7_glib_000(A)))))  => v1_finset_1(k2_xtuple_0(B))) ) ).
fof(fc5_glib_004, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  & m1_subset_1(B, k6_glib_000(A)))  => v13_glib_000(k10_glib_004(A, B))) ) ).
fof(fc6_glib_004, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  & m1_subset_1(B, k2_zfmisc_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)))))  => v1_finset_1(k1_xtuple_0(B))) ) ).
fof(fc7_glib_004, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  & m1_subset_1(B, k2_zfmisc_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)))))  => v1_finset_1(k2_xtuple_0(B))) ) ).
fof(cc1_glib_004, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  & v7_ordinal1(B))  =>  (! [C] :  (m2_glib_000(C, A, k2_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), k15_glib_004(A, k16_glib_004(A), B)), k21_glib_000(A, k2_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), k15_glib_004(A, k16_glib_004(A), B)))) => v1_glib_002(C)) ) ) ) ).
fof(cc2_glib_004, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  & v7_ordinal1(B))  =>  (! [C] :  (m2_glib_000(C, A, k2_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), k15_glib_004(A, k16_glib_004(A), B)), k3_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), k15_glib_004(A, k16_glib_004(A), B))) => v1_glib_002(C)) ) ) ) ).
fof(rc1_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_002(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) ) )  =>  (? [B] :  (m1_glib_000(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v2_pre_poly(B) &  (v1_glib_000(B) &  (v2_glib_000(B) &  (v9_glib_000(B, A) &  (v3_glib_002(B) &  (v1_glib_003(B) &  (v4_glib_003(B, A) & v7_glib_003(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_002(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) ) )  =>  (? [B] :  (m1_glib_000(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v2_pre_poly(B) &  (v1_glib_000(B) &  (v2_glib_000(B) &  (v3_glib_000(B) &  (v5_glib_000(B) &  (v6_glib_000(B) &  (v7_glib_000(B) &  (v8_glib_000(B) &  (v9_glib_000(B, A) &  (v1_glib_002(B) &  (v2_glib_002(B) &  (v3_glib_002(B) &  (v1_glib_003(B) &  (v4_glib_003(B, A) &  (v7_glib_003(B) & v1_glib_004(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => r1_tarski(k13_pre_poly(k1_funct_4(A, B)), k2_xboole_0(k13_pre_poly(A), k13_pre_poly(B)))) ) ) ) ).
fof(t2_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] : r1_tarski(k13_pre_poly(k1_funct_4(A, k17_funcop_1(B, C))), k2_xboole_0(k13_pre_poly(A), k1_tarski(B)))) ) ) ) ).
fof(t3_glib_004, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v3_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) &  (v1_partfun1(D, B) &  (v3_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k6_subset_1(A, B)) &  (v1_funct_1(E) &  (v1_partfun1(E, k6_subset_1(A, B)) &  (v3_valued_0(E) & v2_pre_poly(E)) ) ) ) )  =>  (C=k1_funct_4(D, E) => k2_uproots(A, C)=k2_xcmplx_0(k2_uproots(B, D), k2_uproots(k6_subset_1(A, B), E))) ) ) ) ) ) ) ) ) ).
fof(t4_glib_004, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v3_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (k1_relset_1(A, C)=k1_tarski(B) => k2_uproots(A, C)=k1_funct_1(C, B)) ) ) ) ) ).
fof(t5_glib_004, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v3_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v3_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  ( (! [D] :  (r2_tarski(D, A) => r1_xxreal_0(k1_funct_1(B, D), k1_funct_1(C, D))) )  => r1_xxreal_0(k2_uproots(A, B), k2_uproots(A, C))) ) ) ) ) ) ).
fof(t6_glib_004, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v3_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v3_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  ( (! [D] :  (r2_tarski(D, A) => k1_funct_1(B, D)=k1_funct_1(C, D)) )  => k2_uproots(A, B)=k2_uproots(A, C)) ) ) ) ) ) ).
fof(t7_glib_004, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v3_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) &  (v1_partfun1(D, B) &  (v3_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (C=D => k2_uproots(A, C)=k2_uproots(B, D)) ) ) ) ) ) ) ).
fof(t8_glib_004, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v3_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  (v1_xreal_0(D) =>  (C=k1_funct_4(k16_pre_poly(A), k17_funcop_1(B, D)) => k2_uproots(A, C)=D) ) ) ) ) ) ) ).
fof(t9_glib_004, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v3_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v3_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (! [E] :  (v1_xreal_0(E) =>  (D=k1_funct_4(C, k17_funcop_1(B, E)) => k2_uproots(A, D)=k6_xcmplx_0(k2_xcmplx_0(k2_uproots(A, C), E), k1_funct_1(C, B))) ) ) ) ) ) ) ) ) ).
fof(d1_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_glib_003(B) &  (v4_glib_003(B, A) & m1_glib_000(B, A)) )  =>  (! [C] :  (r1_glib_004(A, B, C) <=>  (v3_glib_002(B) &  (! [D] :  (m1_subset_1(D, k6_glib_000(B)) =>  (? [E] :  ( (v2_glib_001(E, B) &  (v5_glib_001(E, B) & m3_glib_001(E, B)) )  &  (r1_glib_001(B, C, D, E) &  (! [F] :  ( (v2_glib_001(F, A) &  (v5_glib_001(F, A) & m3_glib_001(F, A)) )  =>  (r1_glib_001(A, C, D, F) => r1_xxreal_0(k10_glib_003(B, E), k10_glib_003(A, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  ( (v2_glib_001(B, A) &  (v5_glib_001(B, A) & m3_glib_001(B, A)) )  =>  (! [C] :  (! [D] :  (r2_glib_004(A, B, C, D) <=>  (r1_glib_001(A, C, D, B) &  (! [E] :  ( (v2_glib_001(E, A) &  (v5_glib_001(E, A) & m3_glib_001(E, A)) )  =>  (r1_glib_001(A, C, D, E) => r1_xxreal_0(k10_glib_003(A, B), k10_glib_003(A, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  (! [D] :  (v1_xreal_0(D) =>  ( ( (? [E] :  ( (v2_glib_001(E, A) & m3_glib_001(E, A))  & r1_glib_001(A, B, C, E)) )  =>  (D=k1_glib_004(A, B, C) <=>  (? [E] :  ( (v2_glib_001(E, A) &  (v5_glib_001(E, A) & m3_glib_001(E, A)) )  &  (r2_glib_004(A, E, B, C) & D=k10_glib_003(A, E)) ) ) ) )  &  ( (! [E] :  ( (v2_glib_001(E, A) & m3_glib_001(E, A))  =>  ~ (r1_glib_001(A, B, C, E)) ) )  =>  (D=k1_glib_004(A, B, C) <=> D=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(d4_glib_004, axiom, k2_glib_004=k10_domain_1(k4_ordinal1, k1_glib_000, k2_glib_000, k3_glib_000, k4_glib_000, k2_glib_003)).
fof(d5_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_003(A)) ) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (B=k3_glib_004(A) <=>  (! [C] :  (r2_tarski(C, B) <=>  (? [D] :  ( (v1_glib_003(D) &  (v4_glib_003(D, A) & m1_glib_000(D, A)) )  &  (C=D & k1_relset_1(k4_ordinal1, D)=k2_glib_004) ) ) ) ) ) ) ) ) ) ).
fof(d6_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  => k4_glib_004(A)=k2_uproots(k7_glib_000(A), k5_glib_003(A))) ) ).
fof(t10_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  ( (v1_glib_003(C) &  (v4_glib_003(C, A) & m2_glib_000(C, A, k6_glib_000(A), k6_subset_1(k7_glib_000(A), k1_tarski(B)))) )  =>  (r2_tarski(B, k7_glib_000(A)) => k4_glib_004(A)=k2_xcmplx_0(k4_glib_004(C), k1_funct_1(k5_glib_003(A), B))) ) ) ) ) ) ).
fof(t11_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k6_glib_000(A))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k21_glib_000(A, B))) =>  (! [D] :  ( (v1_glib_003(D) &  (v4_glib_003(D, A) & m2_glib_000(D, A, B, C)) )  =>  (! [E] :  (! [F] :  ( (v1_glib_003(F) &  (v4_glib_003(F, A) & m2_glib_000(F, A, B, k2_xboole_0(C, k1_tarski(E)))) )  =>  (r2_tarski(E, k21_glib_000(A, B)) =>  (r2_tarski(E, C) | k2_xcmplx_0(k4_glib_004(D), k1_funct_1(k5_glib_003(A), E))=k4_glib_004(F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v8_glib_003(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v2_glib_001(B, A) &  (v5_glib_001(B, A) & m3_glib_001(B, A)) )  =>  (! [C] :  (! [D] :  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r2_glib_004(A, B, C, D) => r2_glib_004(A, k8_glib_001(A, B, E, F), k3_glib_001(A, k8_glib_001(A, B, E, F)), k4_glib_001(A, k8_glib_001(A, B, E, F)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v2_glib_001(B, A) &  (v5_glib_001(B, A) & m3_glib_001(B, A)) )  =>  (! [C] :  ( (v2_glib_001(C, A) &  (v5_glib_001(C, A) & m3_glib_001(C, A)) )  =>  (! [D] :  (! [E] :  ( (r2_glib_004(A, B, D, E) & r2_glib_004(A, C, D, E))  => k10_glib_003(A, B)=k10_glib_003(A, C)) ) ) ) ) ) ) ) ) ).
fof(t14_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v2_glib_001(B, A) &  (v5_glib_001(B, A) & m3_glib_001(B, A)) )  =>  (! [C] :  (! [D] :  (r2_glib_004(A, B, C, D) => k1_glib_004(A, C, D)=k10_glib_003(A, B)) ) ) ) ) ) ) ).
fof(d7_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k1_numbers), k1_zfmisc_1(k7_glib_000(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k7_glib_000(A))) =>  (C=k6_glib_004(A, B) <=>  (! [D] :  (r2_tarski(D, C) <=>  (r4_glib_000(A, k1_relset_1(k6_glib_000(A), k5_glib_004(k6_glib_000(A), k1_numbers, k1_zfmisc_1(k7_glib_000(A)), B)), k6_subset_1(k6_glib_000(A), k1_relset_1(k6_glib_000(A), k5_glib_004(k6_glib_000(A), k1_numbers, k1_zfmisc_1(k7_glib_000(A)), B))), D) &  (! [E] :  (r4_glib_000(A, k1_relset_1(k6_glib_000(A), k5_glib_004(k6_glib_000(A), k1_numbers, k1_zfmisc_1(k7_glib_000(A)), B)), k6_subset_1(k6_glib_000(A), k1_relset_1(k6_glib_000(A), k5_glib_004(k6_glib_000(A), k1_numbers, k1_zfmisc_1(k7_glib_000(A)), B))), E) => r1_xxreal_0(k2_xcmplx_0(k1_funct_1(k5_glib_004(k6_glib_000(A), k1_numbers, k1_zfmisc_1(k7_glib_000(A)), B), k1_funct_1(k10_glib_000(A), D)), k1_funct_1(k5_glib_003(A), D)), k2_xcmplx_0(k1_funct_1(k5_glib_004(k6_glib_000(A), k1_numbers, k1_zfmisc_1(k7_glib_000(A)), B), k1_funct_1(k10_glib_000(A), E)), k1_funct_1(k5_glib_003(A), E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) => k8_glib_004(A, B)=k4_tarski(k17_funcop_1(B, k5_numbers), k1_xboole_0)) ) ) ) ).
fof(d10_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) )  =>  (m2_glib_004(B, A) <=>  (! [C] :  (v7_ordinal1(C) => m1_subset_1(k1_funct_1(B, C), k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k1_numbers), k1_zfmisc_1(k7_glib_000(A))))) ) ) ) ) ) ) ).
fof(d11_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m2_glib_004(C, A) =>  (C=k10_glib_004(A, B) <=>  (k9_glib_004(A, C, k5_numbers)=k8_glib_004(A, B) &  (! [D] :  (v7_ordinal1(D) => k9_glib_004(A, C, k1_nat_1(D, 1))=k7_glib_004(A, k9_glib_004(A, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(d12_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) => k11_glib_004(A, B)=k40_glib_000(k10_glib_004(A, B))) ) ) ) ).
fof(t15_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k1_numbers), k1_zfmisc_1(k7_glib_000(A)))) =>  ( (k4_card_1(k1_relset_1(k6_glib_000(A), k5_glib_004(k6_glib_000(A), k1_numbers, k1_zfmisc_1(k7_glib_000(A)), k7_glib_004(A, B))))=k4_card_1(k1_relset_1(k6_glib_000(A), k5_glib_004(k6_glib_000(A), k1_numbers, k1_zfmisc_1(k7_glib_000(A)), B))) => k6_glib_004(A, B)=k1_xboole_0)  &  ( (k6_glib_004(A, B)=k1_xboole_0 => k4_card_1(k1_relset_1(k6_glib_000(A), k5_glib_004(k6_glib_000(A), k1_numbers, k1_zfmisc_1(k7_glib_000(A)), k7_glib_004(A, B))))=k4_card_1(k1_relset_1(k6_glib_000(A), k5_glib_004(k6_glib_000(A), k1_numbers, k1_zfmisc_1(k7_glib_000(A)), B))))  &  ( ~ ( (k4_card_1(k1_relset_1(k6_glib_000(A), k5_glib_004(k6_glib_000(A), k1_numbers, k1_zfmisc_1(k7_glib_000(A)), k7_glib_004(A, B))))=k1_nat_1(k4_card_1(k1_relset_1(k6_glib_000(A), k5_glib_004(k6_glib_000(A), k1_numbers, k1_zfmisc_1(k7_glib_000(A)), B))), 1) & k6_glib_004(A, B)=k1_xboole_0) )  &  ( ~ (k6_glib_004(A, B)=k1_xboole_0)  => k4_card_1(k1_relset_1(k6_glib_000(A), k5_glib_004(k6_glib_000(A), k1_numbers, k1_zfmisc_1(k7_glib_000(A)), k7_glib_004(A, B))))=k1_nat_1(k4_card_1(k1_relset_1(k6_glib_000(A), k5_glib_004(k6_glib_000(A), k1_numbers, k1_zfmisc_1(k7_glib_000(A)), B))), 1)) ) ) ) ) ) ) ) ).
fof(t16_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k1_numbers), k1_zfmisc_1(k7_glib_000(A)))) =>  (r1_tarski(k1_relset_1(k6_glib_000(A), k5_glib_004(k6_glib_000(A), k1_numbers, k1_zfmisc_1(k7_glib_000(A)), B)), k1_relset_1(k6_glib_000(A), k5_glib_004(k6_glib_000(A), k1_numbers, k1_zfmisc_1(k7_glib_000(A)), k7_glib_004(A, B)))) & r1_tarski(k3_domain_1(k3_rfunct_3(k6_glib_000(A), k1_numbers), k1_zfmisc_1(k7_glib_000(A)), B), k3_domain_1(k3_rfunct_3(k6_glib_000(A), k1_numbers), k1_zfmisc_1(k7_glib_000(A)), k7_glib_004(A, B)))) ) ) ) ) ).
fof(t17_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) => k1_relset_1(k6_glib_000(A), k5_glib_004(k6_glib_000(A), k1_numbers, k1_zfmisc_1(k7_glib_000(A)), k8_glib_004(A, B)))=k6_domain_1(k6_glib_000(A), B)) ) ) ) ).
fof(t18_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(C, D) =>  (r1_tarski(k1_relset_1(k6_glib_000(A), k5_glib_004(k6_glib_000(A), k1_numbers, k1_zfmisc_1(k7_glib_000(A)), k9_glib_004(A, k10_glib_004(A, B), C))), k1_relset_1(k6_glib_000(A), k5_glib_004(k6_glib_000(A), k1_numbers, k1_zfmisc_1(k7_glib_000(A)), k9_glib_004(A, k10_glib_004(A, B), D)))) & r1_tarski(k3_domain_1(k3_rfunct_3(k6_glib_000(A), k1_numbers), k1_zfmisc_1(k7_glib_000(A)), k9_glib_004(A, k10_glib_004(A, B), C)), k3_domain_1(k3_rfunct_3(k6_glib_000(A), k1_numbers), k1_zfmisc_1(k7_glib_000(A)), k9_glib_004(A, k10_glib_004(A, B), D)))) ) ) ) ) ) ) ) ) ) ).
fof(t19_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (v7_ordinal1(C) => r1_tarski(k1_relset_1(k6_glib_000(A), k5_glib_004(k6_glib_000(A), k1_numbers, k1_zfmisc_1(k7_glib_000(A)), k9_glib_004(A, k10_glib_004(A, B), C))), k2_glib_002(A, B))) ) ) ) ) ) ).
fof(t20_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (k6_glib_004(A, k9_glib_004(A, k10_glib_004(A, B), C))=k1_xboole_0 <=> k1_relset_1(k6_glib_000(A), k5_glib_004(k6_glib_000(A), k1_numbers, k1_zfmisc_1(k7_glib_000(A)), k9_glib_004(A, k10_glib_004(A, B), C)))=k2_glib_002(A, B)) ) ) ) ) ) ) ).
fof(t21_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (v7_ordinal1(C) => k4_card_1(k1_relset_1(k6_glib_000(A), k5_glib_004(k6_glib_000(A), k1_numbers, k1_zfmisc_1(k7_glib_000(A)), k9_glib_004(A, k10_glib_004(A, B), C))))=k4_nat_1(k1_nat_1(C, 1), k4_card_1(k2_glib_002(A, B)))) ) ) ) ) ) ).
fof(t22_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (v7_ordinal1(C) => r1_tarski(k3_domain_1(k3_rfunct_3(k6_glib_000(A), k1_numbers), k1_zfmisc_1(k7_glib_000(A)), k9_glib_004(A, k10_glib_004(A, B), C)), k21_glib_000(A, k1_relset_1(k6_glib_000(A), k5_glib_004(k6_glib_000(A), k1_numbers, k1_zfmisc_1(k7_glib_000(A)), k9_glib_004(A, k10_glib_004(A, B), C)))))) ) ) ) ) ) ).
fof(t23_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v8_glib_003(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_glib_003(D) &  (v4_glib_003(D, A) & m2_glib_000(D, A, k1_relset_1(k6_glib_000(A), k5_glib_004(k6_glib_000(A), k1_numbers, k1_zfmisc_1(k7_glib_000(A)), k9_glib_004(A, k10_glib_004(A, B), C))), k3_domain_1(k3_rfunct_3(k6_glib_000(A), k1_numbers), k1_zfmisc_1(k7_glib_000(A)), k9_glib_004(A, k10_glib_004(A, B), C)))) )  =>  (r1_glib_004(A, D, B) &  (! [E] :  (m1_subset_1(E, k6_glib_000(A)) =>  (r2_tarski(E, k1_relset_1(k6_glib_000(A), k5_glib_004(k6_glib_000(A), k1_numbers, k1_zfmisc_1(k7_glib_000(A)), k9_glib_004(A, k10_glib_004(A, B), C)))) => k1_glib_004(A, B, E)=k1_funct_1(k5_glib_004(k6_glib_000(A), k1_numbers, k1_zfmisc_1(k7_glib_000(A)), k9_glib_004(A, k10_glib_004(A, B), C)), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) => v13_glib_000(k10_glib_004(A, B))) ) ) ) ).
fof(t25_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) => k1_nat_1(k39_glib_000(k10_glib_004(A, B)), 1)=k4_card_1(k2_glib_002(A, B))) ) ) ) ).
fof(t26_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) => k1_relset_1(k6_glib_000(A), k5_glib_004(k6_glib_000(A), k1_numbers, k1_zfmisc_1(k7_glib_000(A)), k11_glib_004(A, B)))=k2_glib_002(A, B)) ) ) ) ).
fof(t27_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v8_glib_003(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  ( (v1_glib_003(C) &  (v4_glib_003(C, A) & m2_glib_000(C, A, k1_relset_1(k6_glib_000(A), k5_glib_004(k6_glib_000(A), k1_numbers, k1_zfmisc_1(k7_glib_000(A)), k11_glib_004(A, B))), k3_domain_1(k3_rfunct_3(k6_glib_000(A), k1_numbers), k1_zfmisc_1(k7_glib_000(A)), k11_glib_004(A, B)))) )  =>  (r1_glib_004(A, C, B) &  (! [D] :  (m1_subset_1(D, k6_glib_000(A)) =>  (r2_tarski(D, k2_glib_002(A, B)) =>  (r2_tarski(D, k24_glib_000(A, C)) & k1_glib_004(A, B, D)=k1_funct_1(k5_glib_004(k6_glib_000(A), k1_numbers, k1_zfmisc_1(k7_glib_000(A)), k11_glib_004(A, B)), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k7_glib_000(A))) =>  (C=k12_glib_004(A, B) <=>  (! [D] :  (r2_tarski(D, C) <=>  (r3_glib_000(A, k2_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), B), k6_subset_1(k6_glib_000(A), k2_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), B)), D) &  (! [E] :  (r3_glib_000(A, k2_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), B), k6_subset_1(k6_glib_000(A), k2_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), B)), E) => r1_xxreal_0(k1_funct_1(k5_glib_003(A), D), k1_funct_1(k5_glib_003(A), E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) )  =>  (m3_glib_004(B, A) <=>  (! [C] :  (v7_ordinal1(C) => m1_subset_1(k1_funct_1(B, C), k2_zfmisc_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A))))) ) ) ) ) ) ) ).
fof(d17_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  (m3_glib_004(B, A) =>  (B=k16_glib_004(A) <=>  (k15_glib_004(A, B, k5_numbers)=k13_glib_004(A) &  (! [C] :  (v7_ordinal1(C) => k15_glib_004(A, B, k1_nat_1(C, 1))=k14_glib_004(A, k15_glib_004(A, B, C))) ) ) ) ) ) ) ) ).
fof(d18_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  => k17_glib_004(A)=k40_glib_000(k16_glib_004(A))) ) ).
fof(t29_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)))) =>  (r1_tarski(k2_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), B), k2_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), k14_glib_004(A, B))) & r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), B), k3_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), k14_glib_004(A, B)))) ) ) ) ) ).
fof(t30_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( ( ~ (v1_xboole_0(k2_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), k15_glib_004(A, k16_glib_004(A), B))))  & m1_subset_1(k2_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), k15_glib_004(A, k16_glib_004(A), B)), k1_zfmisc_1(k6_glib_000(A))))  & r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), k15_glib_004(A, k16_glib_004(A), B)), k21_glib_000(A, k2_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), k15_glib_004(A, k16_glib_004(A), B))))) ) ) ) ) ).
fof(t31_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_glib_000(C, A, k2_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), k15_glib_004(A, k16_glib_004(A), B)), k3_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), k15_glib_004(A, k16_glib_004(A), B))) => v1_glib_002(C)) ) ) ) ) ) ).
fof(t32_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_glib_000(C, A, k2_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), k15_glib_004(A, k16_glib_004(A), B)), k21_glib_000(A, k2_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), k15_glib_004(A, k16_glib_004(A), B)))) => v1_glib_002(C)) ) ) ) ) ) ).
fof(t34_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, C) =>  (r1_tarski(k2_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), k15_glib_004(A, k16_glib_004(A), B)), k2_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), k15_glib_004(A, k16_glib_004(A), C))) & r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), k15_glib_004(A, k16_glib_004(A), B)), k3_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), k15_glib_004(A, k16_glib_004(A), C)))) ) ) ) ) ) ) ) ).
fof(t38_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_glib_000(C, A, k2_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), k15_glib_004(A, k16_glib_004(A), B)), k3_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), k15_glib_004(A, k16_glib_004(A), B))) => v3_glib_002(C)) ) ) ) ) ) ).
fof(t39_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_002(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) ) )  => k2_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), k17_glib_004(A))=k6_glib_000(A)) ) ).
fof(d19_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_002(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v9_glib_000(B, A) &  (v3_glib_002(B) &  (v1_glib_003(B) &  (v4_glib_003(B, A) & m1_glib_000(B, A)) ) ) )  =>  (v1_glib_004(B, A) <=>  (! [C] :  ( (v9_glib_000(C, A) &  (v3_glib_002(C) &  (v1_glib_003(C) &  (v4_glib_003(C, A) & m1_glib_000(C, A)) ) ) )  => r1_xxreal_0(k4_glib_004(B), k4_glib_004(C))) ) ) ) ) ) ) ).
fof(t40_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_002(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) &  (v2_glib_000(B) &  (v1_glib_002(B) &  (v1_glib_003(B) & v7_glib_003(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_glib_003(C) &  (v4_glib_003(C, A) & m1_glib_000(C, A)) )  =>  ( ( (v9_glib_000(C, A) &  (v3_glib_002(C) &  (v1_glib_003(C) &  (v4_glib_003(C, A) &  (v1_glib_004(C, A) & m1_glib_000(C, A)) ) ) ) )  &  (r5_glib_000(A, B) & k5_glib_003(A)=k5_glib_003(B)) )  =>  (v9_glib_000(C, B) &  (v3_glib_002(C) &  (v1_glib_003(C) &  (v4_glib_003(C, B) &  (v1_glib_004(C, B) & m1_glib_000(C, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_002(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v9_glib_000(B, A) &  (v3_glib_002(B) &  (v1_glib_003(B) &  (v4_glib_003(B, A) &  (v1_glib_004(B, A) & m1_glib_000(B, A)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_glib_000(C) & v1_glib_003(C)) ) ) ) )  =>  ( (r5_glib_000(B, C) & k5_glib_003(B)=k5_glib_003(C))  =>  (v9_glib_000(C, A) &  (v3_glib_002(C) &  (v1_glib_003(C) &  (v4_glib_003(C, A) &  (v1_glib_004(C, A) & m1_glib_000(C, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_002(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) => r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), k15_glib_004(A, k16_glib_004(A), B)), k3_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), k17_glib_004(A)))) ) ) ) ).
fof(t43_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_002(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_glib_003(B) &  (v4_glib_003(B, A) & m2_glib_000(B, A, k2_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), k17_glib_004(A)), k3_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), k17_glib_004(A)))) )  =>  (v9_glib_000(B, A) &  (v3_glib_002(B) &  (v1_glib_003(B) &  (v4_glib_003(B, A) &  (v1_glib_004(B, A) & m1_glib_000(B, A)) ) ) ) ) ) ) ) ) ).
fof(dt_k1_glib_004, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  => v1_xreal_0(k1_glib_004(A, B, C))) ) ).
fof(dt_k2_glib_004, axiom,  ( ~ (v1_xboole_0(k2_glib_004))  &  (v1_finset_1(k2_glib_004) & m1_subset_1(k2_glib_004, k1_zfmisc_1(k4_ordinal1))) ) ).
fof(dt_k3_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_003(A)) ) ) ) )  =>  ~ (v1_xboole_0(k3_glib_004(A))) ) ) ).
fof(dt_m1_glib_004, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_003(A)) ) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k3_glib_004(A)))) )  =>  (! [C] :  (m1_glib_004(C, A, B) =>  (v1_glib_003(C) &  (v4_glib_003(C, A) & m1_glib_000(C, A)) ) ) ) ) ) ).
fof(existence_m1_glib_004, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_003(A)) ) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k3_glib_004(A)))) )  =>  (? [C] : m1_glib_004(C, A, B)) ) ) ).
fof(redefinition_m1_glib_004, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_003(A)) ) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k3_glib_004(A)))) )  =>  (! [C] :  (m1_glib_004(C, A, B) <=> m1_subset_1(C, B)) ) ) ) ).
fof(dt_k4_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  => v1_xreal_0(k4_glib_004(A))) ) ).
fof(dt_k5_glib_004, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(D, k2_zfmisc_1(k3_rfunct_3(A, B), C)))  => m2_rfunct_3(k5_glib_004(A, B, C, D), A, B, k3_rfunct_3(A, B))) ) ).
fof(redefinition_k5_glib_004, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(D, k2_zfmisc_1(k3_rfunct_3(A, B), C)))  => k5_glib_004(A, B, C, D)=k1_xtuple_0(D)) ) ).
fof(dt_k6_glib_004, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  & m1_subset_1(B, k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k1_numbers), k1_zfmisc_1(k7_glib_000(A)))))  => m1_subset_1(k6_glib_004(A, B), k1_zfmisc_1(k7_glib_000(A)))) ) ).
fof(dt_k7_glib_004, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  & m1_subset_1(B, k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k1_numbers), k1_zfmisc_1(k7_glib_000(A)))))  => m1_subset_1(k7_glib_004(A, B), k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k1_numbers), k1_zfmisc_1(k7_glib_000(A))))) ) ).
fof(dt_k8_glib_004, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  & m1_subset_1(B, k6_glib_000(A)))  => m1_subset_1(k8_glib_004(A, B), k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k1_numbers), k1_zfmisc_1(k7_glib_000(A))))) ) ).
fof(dt_m2_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  (m2_glib_004(B, A) =>  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) ) ) ) ) ) ).
fof(existence_m2_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (? [B] : m2_glib_004(B, A)) ) ) ).
fof(dt_k9_glib_004, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  &  (m2_glib_004(B, A) & v7_ordinal1(C)) )  => m1_subset_1(k9_glib_004(A, B, C), k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k1_numbers), k1_zfmisc_1(k7_glib_000(A))))) ) ).
fof(redefinition_k9_glib_004, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  &  (m2_glib_004(B, A) & v7_ordinal1(C)) )  => k9_glib_004(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k10_glib_004, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  & m1_subset_1(B, k6_glib_000(A)))  => m2_glib_004(k10_glib_004(A, B), A)) ) ).
fof(dt_k11_glib_004, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  & m1_subset_1(B, k6_glib_000(A)))  => m1_subset_1(k11_glib_004(A, B), k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k1_numbers), k1_zfmisc_1(k7_glib_000(A))))) ) ).
fof(dt_k12_glib_004, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  & m1_subset_1(B, k2_zfmisc_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)))))  => m1_subset_1(k12_glib_004(A, B), k1_zfmisc_1(k7_glib_000(A)))) ) ).
fof(dt_k13_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  => m1_subset_1(k13_glib_004(A), k2_zfmisc_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A))))) ) ).
fof(dt_k14_glib_004, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  & m1_subset_1(B, k2_zfmisc_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)))))  => m1_subset_1(k14_glib_004(A, B), k2_zfmisc_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A))))) ) ).
fof(dt_m3_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  (m3_glib_004(B, A) =>  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) ) ) ) ) ) ).
fof(existence_m3_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (? [B] : m3_glib_004(B, A)) ) ) ).
fof(dt_k15_glib_004, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  &  (m3_glib_004(B, A) & v7_ordinal1(C)) )  => m1_subset_1(k15_glib_004(A, B, C), k2_zfmisc_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A))))) ) ).
fof(redefinition_k15_glib_004, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  &  (m3_glib_004(B, A) & v7_ordinal1(C)) )  => k15_glib_004(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k16_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  => m3_glib_004(k16_glib_004(A), A)) ) ).
fof(dt_k17_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  => m1_subset_1(k17_glib_004(A), k2_zfmisc_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A))))) ) ).
fof(d8_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k1_numbers), k1_zfmisc_1(k7_glib_000(A)))) =>  ( (k6_glib_004(A, B)=k1_xboole_0 => k7_glib_004(A, B)=B)  &  ( ~ (k6_glib_004(A, B)=k1_xboole_0)  => k7_glib_004(A, B)=k4_tarski(k1_funct_4(k5_glib_004(k6_glib_000(A), k1_numbers, k1_zfmisc_1(k7_glib_000(A)), B), k17_funcop_1(k1_funct_1(k11_glib_000(A), o_2_0_glib_004(A, B)), k2_xcmplx_0(k1_funct_1(k5_glib_004(k6_glib_000(A), k1_numbers, k1_zfmisc_1(k7_glib_000(A)), B), k1_funct_1(k10_glib_000(A), o_2_0_glib_004(A, B))), k1_funct_1(k5_glib_003(A), o_2_0_glib_004(A, B))))), k2_xboole_0(k3_domain_1(k3_rfunct_3(k6_glib_000(A), k1_numbers), k1_zfmisc_1(k7_glib_000(A)), B), k1_tarski(o_2_0_glib_004(A, B))))) ) ) ) ) ) ).
fof(d14_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  => k13_glib_004(A)=k4_tarski(k6_domain_1(k6_glib_000(A), o_1_0_glib_004(A)), k1_xboole_0)) ) ).
fof(d15_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)))) =>  ( (k12_glib_004(A, B)=k1_xboole_0 => k14_glib_004(A, B)=B)  &  ( (r2_tarski(k1_funct_1(k10_glib_000(A), o_2_1_glib_004(A, B)), k2_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), B)) =>  (k12_glib_004(A, B)=k1_xboole_0 | k14_glib_004(A, B)=k4_tarski(k2_xboole_0(k2_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), B), k1_tarski(k1_funct_1(k11_glib_000(A), o_2_1_glib_004(A, B)))), k2_xboole_0(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), B), k1_tarski(o_2_1_glib_004(A, B))))) )  &  ~ ( ( ~ (k12_glib_004(A, B)=k1_xboole_0)  &  ( ~ ( ( ~ (k12_glib_004(A, B)=k1_xboole_0)  & r2_tarski(k1_funct_1(k10_glib_000(A), o_2_1_glib_004(A, B)), k2_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), B))) )  &  ~ (k14_glib_004(A, B)=k4_tarski(k2_xboole_0(k2_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), B), k1_tarski(k1_funct_1(k10_glib_000(A), o_2_1_glib_004(A, B)))), k2_xboole_0(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), B), k1_tarski(o_2_1_glib_004(A, B))))) ) ) ) ) ) ) ) ) ) ).
fof(t28_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)))) =>  ~ ( ( ~ (k12_glib_004(A, B)=k1_xboole_0)  &  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  ~ ( ( ~ (r2_tarski(C, k2_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), B)))  & k14_glib_004(A, B)=k4_tarski(k4_subset_1(k6_glib_000(A), k2_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), B), k6_domain_1(k6_glib_000(A), C)), k2_xboole_0(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), B), k1_tarski(o_2_1_glib_004(A, B))))) ) ) ) ) ) ) ) ) ) ).
fof(t33_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) => r1_tarski(k2_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), k15_glib_004(A, k16_glib_004(A), B)), k1_glib_002(A, o_1_1_glib_004(A)))) ) ) ) ).
fof(t35_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (k12_glib_004(A, k15_glib_004(A, k16_glib_004(A), B))=k1_xboole_0 <=> k2_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), k15_glib_004(A, k16_glib_004(A), B))=k1_glib_002(A, o_1_1_glib_004(A))) ) ) ) ) ).
fof(t36_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) => k4_card_1(k2_domain_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)), k15_glib_004(A, k16_glib_004(A), B)))=k4_nat_1(k1_nat_1(B, 1), k4_card_1(k1_glib_002(A, o_1_1_glib_004(A))))) ) ) ) ).
fof(t37_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  =>  (v13_glib_000(k16_glib_004(A)) & k1_nat_1(k39_glib_000(k16_glib_004(A)), 1)=k4_card_1(k1_glib_002(A, o_1_1_glib_004(A)))) ) ) ).
fof(dt_o_2_0_glib_004, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  & m1_subset_1(B, k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k1_numbers), k1_zfmisc_1(k7_glib_000(A)))))  => m1_subset_1(o_2_0_glib_004(A, B), k6_glib_004(A, B))) ) ).
fof(dt_o_1_0_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  => m1_subset_1(o_1_0_glib_004(A), k6_glib_000(A))) ) ).
fof(dt_o_2_1_glib_004, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  & m1_subset_1(B, k2_zfmisc_1(k1_zfmisc_1(k6_glib_000(A)), k1_zfmisc_1(k7_glib_000(A)))))  => m1_subset_1(o_2_1_glib_004(A, B), k12_glib_004(A, B))) ) ).
fof(dt_o_1_1_glib_004, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  => m1_subset_1(o_1_1_glib_004(A), k6_glib_000(A))) ) ).
fof(cc1_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v1_glib_005(A)) ) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v8_glib_003(A)) ) ) ) ) ) ) ) ).
fof(rc1_glib_005, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v2_pre_poly(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v4_glib_000(A) &  (v3_glib_002(A) &  (v1_glib_003(A) & v1_glib_005(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v1_glib_005(A)) ) ) ) ) )  =>  (v1_relat_1(k5_glib_003(A)) &  (v4_relat_1(k5_glib_003(A), k7_glib_000(A)) &  (v1_funct_1(k5_glib_003(A)) &  (v1_partfun1(k5_glib_003(A), k7_glib_000(A)) & v4_valued_0(k5_glib_003(A))) ) ) ) ) ) ).
fof(fc2_glib_005, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (m3_glib_005(B, A) & v7_ordinal1(C)) )  =>  (v1_relat_1(k1_funct_1(B, C)) & v1_funct_1(k1_funct_1(B, C))) ) ) ).
fof(fc3_glib_005, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (m3_glib_005(B, A) & v7_ordinal1(C)) )  => v4_relat_1(k1_funct_1(B, C), k7_glib_000(A))) ) ).
fof(fc4_glib_005, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (m3_glib_005(B, A) & v7_ordinal1(C)) )  =>  (v1_partfun1(k1_funct_1(B, C), k7_glib_000(A)) & v4_valued_0(k1_funct_1(B, C))) ) ) ).
fof(d1_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_003(A)) ) ) ) )  =>  (v1_glib_005(A) <=> v4_valued_0(k5_glib_003(A))) ) ) ).
fof(d2_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  =>  (! [C] :  (! [D] :  (r1_glib_005(A, B, C, D) <=>  (m1_subset_1(C, k6_glib_000(A)) &  (m1_subset_1(D, k6_glib_000(A)) &  ( (! [E] :  (r2_tarski(E, k7_glib_000(A)) =>  (r1_xxreal_0(k5_numbers, k1_funct_1(B, E)) & r1_xxreal_0(k1_funct_1(B, E), k1_funct_1(k5_glib_003(A), E))) ) )  &  (! [E] :  (m1_subset_1(E, k6_glib_000(A)) =>  ~ ( ( ~ (E=C)  &  ( ~ (E=D)  &  ~ (k2_uproots(k26_glib_000(A, E), k5_relat_1(B, k26_glib_000(A, E)))=k2_uproots(k27_glib_000(A, E), k5_relat_1(B, k27_glib_000(A, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  =>  (! [C] :  (! [D] : k1_glib_005(A, B, C, D)=k6_xcmplx_0(k2_uproots(k18_glib_000(A, k1_tarski(D)), k5_relat_1(B, k18_glib_000(A, k1_tarski(D)))), k2_uproots(k19_glib_000(A, k1_tarski(D)), k5_relat_1(B, k19_glib_000(A, k1_tarski(D)))))) ) ) ) ) ) ).
fof(d4_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  =>  (! [C] :  (! [D] :  (r2_glib_005(A, B, C, D) <=>  (r1_glib_005(A, B, C, D) &  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k7_glib_000(A)) &  (v1_funct_1(E) &  (v1_partfun1(E, k7_glib_000(A)) & v4_valued_0(E)) ) ) )  =>  (r1_glib_005(A, E, C, D) => r1_xxreal_0(k1_glib_005(A, E, C, D), k1_glib_005(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k6_glib_000(A), k2_xboole_0(k6_domain_1(k4_ordinal1, 1), k7_glib_000(A))))))  => m1_glib_005(C, A, B)) ) ) ) ) ) ).
fof(d6_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  =>  (! [C] :  (m1_glib_005(C, A, B) =>  (! [D] :  (r3_glib_005(A, B, C, D) <=>  (r2_tarski(D, k7_glib_000(A)) &  (r2_tarski(k1_funct_1(k10_glib_000(A), D), k1_relset_1(k6_glib_000(A), C)) &  ( ~ (r2_tarski(k1_funct_1(k11_glib_000(A), D), k1_relset_1(k6_glib_000(A), C)))  &  ~ (r1_xxreal_0(k1_funct_1(k5_glib_003(A), D), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  =>  (! [C] :  (m1_glib_005(C, A, B) =>  (! [D] :  (r4_glib_005(A, B, C, D) <=>  (r2_tarski(D, k7_glib_000(A)) &  (r2_tarski(k1_funct_1(k11_glib_000(A), D), k1_relset_1(k6_glib_000(A), C)) &  ( ~ (r2_tarski(k1_funct_1(k10_glib_000(A), D), k1_relset_1(k6_glib_000(A), C)))  &  ~ (r1_xxreal_0(k1_funct_1(B, D), k5_numbers)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  =>  (! [C] :  (m3_glib_001(C, A) =>  (r5_glib_005(A, B, C) <=>  (! [D] :  ( (v7_ordinal1(D) &  ~ (v1_abian(D)) )  =>  ( ~ (r1_xxreal_0(k3_finseq_1(C), D))  =>  ( ~ ( (r2_glib_000(A, k1_funct_1(C, D), k1_funct_1(C, k1_nat_1(D, 2)), k1_funct_1(C, k1_nat_1(D, 1))) & r1_xxreal_0(k1_funct_1(k5_glib_003(A), k1_funct_1(C, k1_nat_1(D, 1))), k1_funct_1(B, k1_funct_1(C, k1_nat_1(D, 1))))) )  &  ~ ( ( ~ (r2_glib_000(A, k1_funct_1(C, D), k1_funct_1(C, k1_nat_1(D, 2)), k1_funct_1(C, k1_nat_1(D, 1))))  & r1_xxreal_0(k1_funct_1(B, k1_funct_1(C, k1_nat_1(D, 1))), k5_numbers)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  =>  (! [C] :  (m3_glib_001(C, A) =>  (v3_glib_001(C, A) => r5_glib_005(A, B, C)) ) ) ) ) ) ) ).
fof(t2_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  =>  (! [C] :  (m3_glib_001(C, A) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r5_glib_005(A, B, C) => r5_glib_005(A, B, k8_glib_001(A, C, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  =>  (! [C] :  (m3_glib_001(C, A) =>  (! [D] :  (! [E] :  (r5_glib_005(A, B, C) =>  (r2_tarski(E, k13_glib_001(A, C)) |  ( ( ~ ( (r2_glib_000(A, k4_glib_001(A, C), E, D) &  ~ (r1_xxreal_0(k1_funct_1(k5_glib_003(A), D), k1_funct_1(B, D))) ) )  &  ~ ( (r2_glib_000(A, E, k4_glib_001(A, C), D) &  ~ (r1_xxreal_0(k1_funct_1(B, D), k5_numbers)) ) ) )  | r5_glib_005(A, B, k10_glib_001(A, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  =>  (! [C] :  (m1_glib_005(C, A, B) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k7_glib_000(A))) =>  (D=k2_glib_005(A, B, C) <=>  (! [E] :  (r2_tarski(E, D) <=>  (r3_glib_005(A, B, C, E) | r4_glib_005(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) )  =>  (m2_glib_005(C, A, B) <=>  (! [D] :  (v7_ordinal1(D) => m1_glib_005(k1_funct_1(C, D), A, B)) ) ) ) ) ) ) ) ) ).
fof(d12_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m2_glib_005(D, A, B) =>  (D=k5_glib_005(A, B, C) <=>  (k4_glib_005(A, B, D, k5_numbers)=k17_funcop_1(C, 1) &  (! [E] :  (v7_ordinal1(E) => r2_relset_1(k6_glib_000(A), k2_xboole_0(k6_domain_1(k4_ordinal1, 1), k7_glib_000(A)), k4_glib_005(A, B, D, k1_nat_1(E, 1)), k3_glib_005(A, B, k4_glib_005(A, B, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) => k1_relset_1(k6_glib_000(A), k4_glib_005(A, B, k5_glib_005(A, B, C), k5_numbers))=k6_domain_1(k6_glib_000(A), C)) ) ) ) ) ) ).
fof(t5_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(D, E) => r1_tarski(k1_relset_1(k6_glib_000(A), k4_glib_005(A, B, k5_glib_005(A, B, C), D)), k1_relset_1(k6_glib_000(A), k4_glib_005(A, B, k5_glib_005(A, B, C), E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) => k6_glib_005(A, B, C)=k40_glib_000(k5_glib_005(A, B, C))) ) ) ) ) ) ).
fof(t6_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) => v13_glib_000(k5_glib_005(A, B, C))) ) ) ) ) ) ).
fof(t7_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (r2_tarski(E, k1_relset_1(k6_glib_000(A), k4_glib_005(A, B, k5_glib_005(A, B, C), D))) => k1_funct_1(k4_glib_005(A, B, k5_glib_005(A, B, C), D), E)=k1_funct_1(k6_glib_005(A, B, C), E)) ) ) ) ) ) ) ) ) ) ).
fof(d14_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(A)) =>  (! [E] :  ( (v5_glib_001(E, A) &  (v6_glib_001(E, A) & m3_glib_001(E, A)) )  =>  ( (r2_tarski(D, k1_relset_1(k6_glib_000(A), k6_glib_005(A, B, C))) =>  (E=k7_glib_005(A, B, C, D) <=>  (r1_glib_001(A, C, D, E) &  (r5_glib_005(A, B, E) &  (! [F] :  ( (v7_ordinal1(F) & v1_abian(F))  =>  (r2_tarski(F, k1_relset_1(k4_ordinal1, E)) => k1_funct_1(E, F)=k1_funct_1(k6_glib_005(A, B, C), k1_funct_1(E, k1_nat_1(F, 1)))) ) ) ) ) ) )  &  ( ~ (r2_tarski(D, k1_relset_1(k6_glib_000(A), k6_glib_005(A, B, C))))  =>  (E=k7_glib_005(A, B, C, D) <=> r2_relset_1(k4_ordinal1, k2_xboole_0(k6_glib_000(A), k7_glib_000(A)), E, k1_glib_001(A, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ~ ( (r2_tarski(E, k1_relset_1(k6_glib_000(A), k4_glib_005(A, B, k5_glib_005(A, B, C), D))) &  (! [F] :  ( (v5_glib_001(F, A) & m3_glib_001(F, A))  =>  ~ ( (r5_glib_005(A, B, F) &  (r1_glib_001(A, C, E, F) & r1_tarski(k13_glib_001(A, F), k1_relset_1(k6_glib_000(A), k4_glib_005(A, B, k5_glib_005(A, B, C), D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (r2_tarski(D, k1_relset_1(k6_glib_000(A), k6_glib_005(A, B, C))) <=>  (? [E] :  ( (v5_glib_001(E, A) & m3_glib_001(E, A))  &  (r1_glib_001(A, C, D, E) & r5_glib_005(A, B, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) => r2_tarski(C, k1_relset_1(k6_glib_000(A), k6_glib_005(A, B, C)))) ) ) ) ) ) ).
fof(d15_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v1_glib_005(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  =>  (! [C] :  (m3_glib_001(C, A) =>  (r5_glib_005(A, B, C) =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  (D=k8_glib_005(A, B, C) <=>  (k1_relset_1(k4_ordinal1, D)=k1_relset_1(k4_ordinal1, k12_glib_001(A, C)) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k1_relset_1(k4_ordinal1, D)) =>  ( (r2_glib_000(A, k1_funct_1(C, k6_xcmplx_0(k3_xcmplx_0(2, E), 1)), k1_funct_1(C, k1_nat_1(k3_xcmplx_0(2, E), 1)), k1_funct_1(C, k3_xcmplx_0(2, E))) => k1_funct_1(D, E)=k6_xcmplx_0(k1_funct_1(k5_glib_003(A), k1_funct_1(C, k3_xcmplx_0(2, E))), k1_funct_1(B, k1_funct_1(C, k3_xcmplx_0(2, E)))))  &  ( ~ (r2_glib_000(A, k1_funct_1(C, k6_xcmplx_0(k3_xcmplx_0(2, E), 1)), k1_funct_1(C, k1_nat_1(k3_xcmplx_0(2, E), 1)), k1_funct_1(C, k3_xcmplx_0(2, E))))  => k1_funct_1(D, E)=k1_funct_1(B, k1_funct_1(C, k3_xcmplx_0(2, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v1_glib_005(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  =>  (! [C] :  (m3_glib_001(C, A) =>  (r5_glib_005(A, B, C) =>  (! [D] :  (v7_ordinal1(D) =>  ( ( ~ (v3_glib_001(C, A))  =>  (D=k9_glib_005(A, B, C) <=>  (r2_tarski(D, k2_relset_1(k4_ordinal1, k8_glib_005(A, B, C))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k2_relset_1(k4_ordinal1, k8_glib_005(A, B, C))) => r1_xxreal_0(D, E)) ) ) ) ) )  &  (v3_glib_001(C, A) =>  (D=k9_glib_005(A, B, C) <=> D=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v1_glib_005(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  =>  (! [C] :  ( (v5_glib_001(C, A) & m3_glib_001(C, A))  =>  (r5_glib_005(A, B, C) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k7_glib_000(A)) &  (v1_funct_1(D) &  (v1_partfun1(D, k7_glib_000(A)) & v4_valued_0(D)) ) ) )  =>  (D=k10_glib_005(A, B, C) <=>  ( (! [E] :  (r2_tarski(E, k7_glib_000(A)) =>  (r2_tarski(E, k14_glib_001(A, C)) | k1_funct_1(D, E)=k1_funct_1(B, E)) ) )  &  (! [E] :  ( (v7_ordinal1(E) &  ~ (v1_abian(E)) )  =>  ( ~ (r1_xxreal_0(k3_finseq_1(C), E))  =>  ( (r2_glib_000(A, k1_funct_1(C, E), k1_funct_1(C, k1_nat_1(E, 2)), k1_funct_1(C, k1_nat_1(E, 1))) => k1_funct_1(D, k1_funct_1(C, k1_nat_1(E, 1)))=k2_xcmplx_0(k1_funct_1(B, k1_funct_1(C, k1_nat_1(E, 1))), k9_glib_005(A, B, C)))  &  ( ~ (r2_glib_000(A, k1_funct_1(C, E), k1_funct_1(C, k1_nat_1(E, 2)), k1_funct_1(C, k1_nat_1(E, 1))))  => k1_funct_1(D, k1_funct_1(C, k1_nat_1(E, 1)))=k6_xcmplx_0(k1_funct_1(B, k1_funct_1(C, k1_nat_1(E, 1))), k9_glib_005(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v1_glib_005(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(A)) =>  ( (r2_tarski(C, k1_relset_1(k6_glib_000(A), k6_glib_005(A, B, D))) => k11_glib_005(A, B, C, D)=k10_glib_005(A, B, k7_glib_005(A, B, D, C)))  &  ( ~ (r2_tarski(C, k1_relset_1(k6_glib_000(A), k6_glib_005(A, B, D))))  => k11_glib_005(A, B, C, D)=B) ) ) ) ) ) ) ) ) ) ).
fof(d19_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) )  =>  (m3_glib_005(B, A) <=>  (! [C] :  (v7_ordinal1(C) =>  (v1_relat_1(k1_funct_1(B, C)) &  (v4_relat_1(k1_funct_1(B, C), k7_glib_000(A)) &  (v1_funct_1(k1_funct_1(B, C)) &  (v1_partfun1(k1_funct_1(B, C), k7_glib_000(A)) & v4_valued_0(k1_funct_1(B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(d20_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v1_glib_005(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m3_glib_005(D, A) =>  (D=k12_glib_005(A, B, C) <=>  (r6_pboole(k7_glib_000(A), k1_funct_1(D, k5_numbers), k8_funcop_1(k4_ordinal1, k7_glib_000(A), k5_numbers)) &  (! [E] :  (v7_ordinal1(E) => r6_pboole(k7_glib_000(A), k1_funct_1(D, k1_nat_1(E, 1)), k11_glib_005(A, k1_funct_1(D, E), C, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d21_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v1_glib_005(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) => k13_glib_005(A, B, C)=k40_glib_000(k12_glib_005(A, C, B))) ) ) ) ) ) ).
fof(t11_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  =>  (! [C] :  (! [D] :  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k6_glib_000(A))) =>  ( (r1_glib_005(A, B, C, D) & r2_tarski(C, E))  =>  (r2_tarski(D, E) | k1_glib_005(A, B, C, D)=k6_xcmplx_0(k2_uproots(k23_glib_000(A, E, k6_subset_1(k6_glib_000(A), E)), k5_relat_1(B, k23_glib_000(A, E, k6_subset_1(k6_glib_000(A), E)))), k2_uproots(k23_glib_000(A, k6_subset_1(k6_glib_000(A), E), E), k5_relat_1(B, k23_glib_000(A, k6_subset_1(k6_glib_000(A), E), E))))) ) ) ) ) ) ) ) ) ) ).
fof(t12_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  =>  (! [C] :  (! [D] :  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k6_glib_000(A))) =>  ( (r1_glib_005(A, B, C, D) & r2_tarski(C, E))  =>  (r2_tarski(D, E) | r1_xxreal_0(k1_glib_005(A, B, C, D), k2_uproots(k23_glib_000(A, E, k6_subset_1(k6_glib_000(A), E)), k5_relat_1(k5_glib_003(A), k23_glib_000(A, E, k6_subset_1(k6_glib_000(A), E)))))) ) ) ) ) ) ) ) ) ) ).
fof(t13_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v1_glib_005(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  =>  (! [C] :  (m3_glib_001(C, A) =>  ~ ( ( ~ (v3_glib_001(C, A))  &  (r5_glib_005(A, B, C) & r1_xxreal_0(k9_glib_005(A, B, C), k5_numbers)) ) ) ) ) ) ) ) ) ).
fof(t14_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v1_glib_005(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  =>  (! [C] :  (! [D] :  (! [E] :  ( (v5_glib_001(E, A) & m3_glib_001(E, A))  =>  ( (r1_glib_005(A, B, C, D) &  (r1_glib_001(A, C, D, E) & r5_glib_005(A, B, E)) )  =>  (C=D | r1_glib_005(A, k10_glib_005(A, B, E), C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t15_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v1_glib_005(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  =>  (! [C] :  (! [D] :  (! [E] :  ( (v5_glib_001(E, A) & m3_glib_001(E, A))  =>  ( (r1_glib_001(A, C, D, E) & r5_glib_005(A, B, E))  =>  (C=D | k2_xcmplx_0(k1_glib_005(A, B, C, D), k9_glib_005(A, B, E))=k1_glib_005(A, k10_glib_005(A, B, E), C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t16_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v1_glib_005(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (v7_ordinal1(D) =>  ( ~ (B=C)  => r1_glib_005(A, k1_funct_1(k12_glib_005(A, B, C), D), B, C)) ) ) ) ) ) ) ) ) ).
fof(t17_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v1_glib_005(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  ( ~ (B=C)  => v13_glib_000(k12_glib_005(A, B, C))) ) ) ) ) ) ) ).
fof(t18_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v1_glib_005(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  =>  (! [C] :  (! [D] :  ( (r1_glib_005(A, B, C, D) &  (! [E] :  ( (v5_glib_001(E, A) & m3_glib_001(E, A))  =>  ~ ( (r1_glib_001(A, C, D, E) & r5_glib_005(A, B, E)) ) ) ) )  => r2_glib_005(A, B, C, D)) ) ) ) ) ) ) ).
fof(t19_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v1_glib_005(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  ( ~ (C=B)  => r2_glib_005(A, k13_glib_005(A, C, B), B, C)) ) ) ) ) ) ) ).
fof(dt_k1_glib_005, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) ) )  => v1_xreal_0(k1_glib_005(A, B, C, D))) ) ).
fof(dt_m1_glib_005, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) ) )  =>  (! [C] :  (m1_glib_005(C, A, B) =>  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k6_glib_000(A), k2_xboole_0(k6_domain_1(k4_ordinal1, 1), k7_glib_000(A)))))) ) ) ) ) ).
fof(existence_m1_glib_005, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) ) )  =>  (? [C] : m1_glib_005(C, A, B)) ) ) ).
fof(dt_k2_glib_005, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  & m1_glib_005(C, A, B)) )  => m1_subset_1(k2_glib_005(A, B, C), k1_zfmisc_1(k7_glib_000(A)))) ) ).
fof(dt_k3_glib_005, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  & m1_glib_005(C, A, B)) )  => m1_glib_005(k3_glib_005(A, B, C), A, B)) ) ).
fof(dt_m2_glib_005, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) ) )  =>  (! [C] :  (m2_glib_005(C, A, B) =>  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) ) ) ) ) ) ).
fof(existence_m2_glib_005, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) ) )  =>  (? [C] : m2_glib_005(C, A, B)) ) ) ).
fof(dt_k4_glib_005, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  &  (m2_glib_005(C, A, B) & v7_ordinal1(D)) ) )  => m1_glib_005(k4_glib_005(A, B, C, D), A, B)) ) ).
fof(redefinition_k4_glib_005, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  &  (m2_glib_005(C, A, B) & v7_ordinal1(D)) ) )  => k4_glib_005(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(dt_k5_glib_005, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  & m1_subset_1(C, k6_glib_000(A))) )  => m2_glib_005(k5_glib_005(A, B, C), A, B)) ) ).
fof(dt_k6_glib_005, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  & m1_subset_1(C, k6_glib_000(A))) )  => m1_glib_005(k6_glib_005(A, B, C), A, B)) ) ).
fof(dt_k7_glib_005, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  &  (m1_subset_1(C, k6_glib_000(A)) & m1_subset_1(D, k6_glib_000(A))) ) )  =>  (v5_glib_001(k7_glib_005(A, B, C, D), A) &  (v6_glib_001(k7_glib_005(A, B, C, D), A) & m3_glib_001(k7_glib_005(A, B, C, D), A)) ) ) ) ).
fof(dt_k8_glib_005, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v1_glib_005(A)) ) ) ) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  & m3_glib_001(C, A)) )  => m2_finseq_1(k8_glib_005(A, B, C), k4_ordinal1)) ) ).
fof(dt_k9_glib_005, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v1_glib_005(A)) ) ) ) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  & m3_glib_001(C, A)) )  => v7_ordinal1(k9_glib_005(A, B, C))) ) ).
fof(dt_k10_glib_005, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v1_glib_005(A)) ) ) ) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  &  (v5_glib_001(C, A) & m3_glib_001(C, A)) ) )  =>  (v1_relat_1(k10_glib_005(A, B, C)) &  (v4_relat_1(k10_glib_005(A, B, C), k7_glib_000(A)) &  (v1_funct_1(k10_glib_005(A, B, C)) &  (v1_partfun1(k10_glib_005(A, B, C), k7_glib_000(A)) & v4_valued_0(k10_glib_005(A, B, C))) ) ) ) ) ) ).
fof(dt_k11_glib_005, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v1_glib_005(A)) ) ) ) ) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  &  (m1_subset_1(C, k6_glib_000(A)) & m1_subset_1(D, k6_glib_000(A))) ) )  =>  (v1_relat_1(k11_glib_005(A, B, C, D)) &  (v4_relat_1(k11_glib_005(A, B, C, D), k7_glib_000(A)) &  (v1_funct_1(k11_glib_005(A, B, C, D)) &  (v1_partfun1(k11_glib_005(A, B, C, D), k7_glib_000(A)) & v4_valued_0(k11_glib_005(A, B, C, D))) ) ) ) ) ) ).
fof(dt_m3_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_005(B, A) =>  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) ) ) ) ) ) ).
fof(existence_m3_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (? [B] : m3_glib_005(B, A)) ) ) ).
fof(dt_k12_glib_005, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v1_glib_005(A)) ) ) ) ) ) )  &  (m1_subset_1(B, k6_glib_000(A)) & m1_subset_1(C, k6_glib_000(A))) )  => m3_glib_005(k12_glib_005(A, B, C), A)) ) ).
fof(dt_k13_glib_005, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v1_glib_003(A) & v1_glib_005(A)) ) ) ) ) ) )  &  (m1_subset_1(B, k6_glib_000(A)) & m1_subset_1(C, k6_glib_000(A))) )  =>  (v1_relat_1(k13_glib_005(A, B, C)) &  (v4_relat_1(k13_glib_005(A, B, C), k7_glib_000(A)) &  (v1_funct_1(k13_glib_005(A, B, C)) &  (v1_partfun1(k13_glib_005(A, B, C), k7_glib_000(A)) & v4_valued_0(k13_glib_005(A, B, C))) ) ) ) ) ) ).
fof(d10_glib_005, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  =>  (! [C] :  (m1_glib_005(C, A, B) =>  ( (k2_glib_005(A, B, C)=k1_xboole_0 => k3_glib_005(A, B, C)=C)  &  ( ~ ( ( ~ (k2_glib_005(A, B, C)=k1_xboole_0)  &  ( ~ (r2_tarski(k1_funct_1(k10_glib_000(A), o_3_0_glib_005(A, B, C)), k1_relset_1(k6_glib_000(A), C)))  &  ~ (k3_glib_005(A, B, C)=k1_funct_4(C, k17_funcop_1(k1_funct_1(k10_glib_000(A), o_3_0_glib_005(A, B, C)), o_3_0_glib_005(A, B, C)))) ) ) )  &  ~ ( ( ~ (k2_glib_005(A, B, C)=k1_xboole_0)  &  ( ~ ( ( ~ (k2_glib_005(A, B, C)=k1_xboole_0)  &  ~ (r2_tarski(k1_funct_1(k10_glib_000(A), o_3_0_glib_005(A, B, C)), k1_relset_1(k6_glib_000(A), C))) ) )  &  ~ (k3_glib_005(A, B, C)=k1_funct_4(C, k17_funcop_1(k1_funct_1(k11_glib_000(A), o_3_0_glib_005(A, B, C)), o_3_0_glib_005(A, B, C)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_o_3_0_glib_005, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_003(A) & v7_glib_003(A)) ) ) ) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k7_glib_000(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k7_glib_000(A)) & v4_valued_0(B)) ) ) )  & m1_glib_005(C, A, B)) )  => m1_subset_1(o_3_0_glib_005(A, B, C), k2_glib_005(A, B, C))) ) ).
fof(rc1_goboard1, axiom,  (? [A] :  (m1_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2)))) &  (v1_relat_1(A) &  ( ~ (v3_relat_1(A))  &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2)))) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) & v4_goboard1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_goboard1, axiom,  (! [A, B] :  ( ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m1_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  & v7_ordinal1(B))  =>  (v1_matrix_0(k16_matrix_0(B, u1_struct_0(k15_euclid(2)), A)) &  (v1_goboard1(k16_matrix_0(B, u1_struct_0(k15_euclid(2)), A)) &  (v2_goboard1(k16_matrix_0(B, u1_struct_0(k15_euclid(2)), A)) &  (v3_goboard1(k16_matrix_0(B, u1_struct_0(k15_euclid(2)), A)) & v4_goboard1(k16_matrix_0(B, u1_struct_0(k15_euclid(2)), A))) ) ) ) ) ) ).
fof(d1_goboard1, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (B=k1_goboard1(A) <=>  (k3_finseq_1(B)=k3_finseq_1(A) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => k1_funct_1(B, C)=k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, C))) ) ) ) ) ) ) ) ) ).
fof(d2_goboard1, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (B=k2_goboard1(A) <=>  (k3_finseq_1(B)=k3_finseq_1(A) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => k1_funct_1(B, C)=k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, C))) ) ) ) ) ) ) ) ) ).
fof(t1_goboard1, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r2_tarski(B, k4_finseq_1(A)) & r1_xxreal_0(2, k3_finseq_1(A)))  => r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), A, B), k3_topreal1(2, A))) ) ) ) ) ).
fof(d4_goboard1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  =>  (v1_goboard1(A) <=>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k4_finseq_1(A)) => v3_funct_1(k1_goboard1(k7_matrix_0(u1_struct_0(k15_euclid(2)), A, B)))) ) ) ) ) ) ).
fof(d5_goboard1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  =>  (v2_goboard1(A) <=>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k2_finseq_1(k1_matrix_0(A))) => v3_funct_1(k2_goboard1(k8_matrix_0(u1_struct_0(k15_euclid(2)), A, B)))) ) ) ) ) ) ).
fof(d6_goboard1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  =>  (v3_goboard1(A) <=>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k4_finseq_1(A)) => v5_valued_0(k2_goboard1(k7_matrix_0(u1_struct_0(k15_euclid(2)), A, B)))) ) ) ) ) ) ).
fof(d7_goboard1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  =>  (v4_goboard1(A) <=>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k2_finseq_1(k1_matrix_0(A))) => v5_valued_0(k1_goboard1(k8_matrix_0(u1_struct_0(k15_euclid(2)), A, B)))) ) ) ) ) ) ).
fof(t3_goboard1, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v1_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) )  =>  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(B, k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)), A, C))) &  (r2_tarski(B, k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)), A, D))) &  (r2_tarski(C, k4_finseq_1(A)) & r2_tarski(D, k4_finseq_1(A))) ) )  => C=D) ) ) ) ) ) ) ) ).
fof(t4_goboard1, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_goboard1(A) &  (v3_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) )  =>  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(B, k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)), A, C))) &  (r2_tarski(B, k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)), A, D))) &  (r2_tarski(C, k2_finseq_1(k1_matrix_0(A))) & r2_tarski(D, k2_finseq_1(k1_matrix_0(A)))) ) )  => C=D) ) ) ) ) ) ) ) ).
fof(t5_goboard1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (! [F] :  ( ( ~ (v3_relat_1(F))  &  (v1_matrix_0(F) &  (v1_goboard1(F) &  (v2_goboard1(F) &  (v3_goboard1(F) &  (v4_goboard1(F) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (E=k3_matrix_0(u1_struct_0(k15_euclid(2)), F, A, D) &  (E=k3_matrix_0(u1_struct_0(k15_euclid(2)), F, B, C) &  (r2_hidden(k4_tarski(A, D), k2_matrix_0(F)) & r2_hidden(k4_tarski(B, C), k2_matrix_0(F))) ) )  =>  (A=B & D=C) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_goboard1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v3_relat_1(D))  &  (v1_matrix_0(D) &  (v1_goboard1(D) &  (v2_goboard1(D) &  (v3_goboard1(D) &  (v4_goboard1(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r2_tarski(C, k2_finseq_1(k1_matrix_0(D))) &  (r2_tarski(A, k4_finseq_1(D)) & r2_tarski(B, k2_finseq_1(k1_matrix_0(k16_matrix_0(C, u1_struct_0(k15_euclid(2)), D))))) )  =>  (r1_xxreal_0(k1_matrix_0(D), 1) | k3_matrix_0(u1_struct_0(k15_euclid(2)), k16_matrix_0(C, u1_struct_0(k15_euclid(2)), D), A, B)=k1_funct_1(k2_finseq_3(C, k7_matrix_0(u1_struct_0(k15_euclid(2)), D, A)), B)) ) ) ) ) ) ) ) ) ) ).
fof(t13_goboard1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v3_relat_1(D))  &  (v1_matrix_0(D) &  (v1_goboard1(D) &  (v2_goboard1(D) &  (v3_goboard1(D) &  (v4_goboard1(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r2_tarski(B, k2_finseq_1(k1_matrix_0(D))) &  (k1_matrix_0(D)=k1_nat_1(A, 1) & r1_xxreal_0(1, C)) )  =>  (r1_xxreal_0(A, k5_numbers) |  (r1_xxreal_0(B, C) |  (k8_matrix_0(u1_struct_0(k15_euclid(2)), k16_matrix_0(B, u1_struct_0(k15_euclid(2)), D), C)=k8_matrix_0(u1_struct_0(k15_euclid(2)), D, C) &  (r2_tarski(C, k2_finseq_1(k1_matrix_0(k16_matrix_0(B, u1_struct_0(k15_euclid(2)), D)))) & r2_tarski(C, k2_finseq_1(k1_matrix_0(D)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_goboard1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v3_relat_1(D))  &  (v1_matrix_0(D) &  (v1_goboard1(D) &  (v2_goboard1(D) &  (v3_goboard1(D) &  (v4_goboard1(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r2_tarski(B, k2_finseq_1(k1_matrix_0(D))) &  (k1_matrix_0(D)=k1_nat_1(A, 1) &  (r1_xxreal_0(B, C) & r1_xxreal_0(C, A)) ) )  =>  (r1_xxreal_0(A, k5_numbers) |  (k8_matrix_0(u1_struct_0(k15_euclid(2)), k16_matrix_0(B, u1_struct_0(k15_euclid(2)), D), C)=k8_matrix_0(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 1)) &  (r2_tarski(C, k2_finseq_1(k1_matrix_0(k16_matrix_0(B, u1_struct_0(k15_euclid(2)), D)))) & r2_tarski(k1_nat_1(C, 1), k2_finseq_1(k1_matrix_0(D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_goboard1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r2_tarski(C, k2_finseq_1(k1_matrix_0(E))) &  (k1_matrix_0(E)=k1_nat_1(B, 1) &  (r2_tarski(A, k4_finseq_1(E)) & r1_xxreal_0(1, D)) ) )  =>  (r1_xxreal_0(B, k5_numbers) |  (r1_xxreal_0(C, D) |  (k3_matrix_0(u1_struct_0(k15_euclid(2)), k16_matrix_0(C, u1_struct_0(k15_euclid(2)), E), A, D)=k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, D) & r2_tarski(D, k2_finseq_1(k1_matrix_0(E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_goboard1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r2_tarski(C, k2_finseq_1(k1_matrix_0(E))) &  (k1_matrix_0(E)=k1_nat_1(B, 1) &  (r2_tarski(A, k4_finseq_1(E)) &  (r1_xxreal_0(C, D) & r1_xxreal_0(D, B)) ) ) )  =>  (r1_xxreal_0(B, k5_numbers) |  (k3_matrix_0(u1_struct_0(k15_euclid(2)), k16_matrix_0(C, u1_struct_0(k15_euclid(2)), E), A, D)=k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, k1_nat_1(D, 1)) & r2_tarski(k1_nat_1(D, 1), k2_finseq_1(k1_matrix_0(E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_goboard1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (k1_matrix_0(C)=k1_nat_1(A, 1) & r2_tarski(B, k2_finseq_1(A)))  =>  (r1_xxreal_0(A, k5_numbers) |  (k8_matrix_0(u1_struct_0(k15_euclid(2)), k16_matrix_0(1, u1_struct_0(k15_euclid(2)), C), B)=k8_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(B, 1)) &  (r2_tarski(B, k2_finseq_1(k1_matrix_0(k16_matrix_0(1, u1_struct_0(k15_euclid(2)), C)))) & r2_tarski(k1_nat_1(B, 1), k2_finseq_1(k1_matrix_0(C)))) ) ) ) ) ) ) ) ) ) ).
fof(t18_goboard1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v3_relat_1(D))  &  (v1_matrix_0(D) &  (v1_goboard1(D) &  (v2_goboard1(D) &  (v3_goboard1(D) &  (v4_goboard1(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (k1_matrix_0(D)=k1_nat_1(B, 1) &  (r2_tarski(C, k2_finseq_1(B)) & r2_tarski(A, k4_finseq_1(D))) )  =>  (r1_xxreal_0(B, k5_numbers) |  (k3_matrix_0(u1_struct_0(k15_euclid(2)), k16_matrix_0(1, u1_struct_0(k15_euclid(2)), D), A, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), D, A, k1_nat_1(C, 1)) & r2_tarski(1, k2_finseq_1(k1_matrix_0(D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_goboard1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (k1_matrix_0(C)=k1_nat_1(A, 1) & r2_tarski(B, k2_finseq_1(A)))  =>  (r1_xxreal_0(A, k5_numbers) |  (k8_matrix_0(u1_struct_0(k15_euclid(2)), k16_matrix_0(k1_matrix_0(C), u1_struct_0(k15_euclid(2)), C), B)=k8_matrix_0(u1_struct_0(k15_euclid(2)), C, B) & r2_tarski(B, k2_finseq_1(k1_matrix_0(k16_matrix_0(k1_matrix_0(C), u1_struct_0(k15_euclid(2)), C))))) ) ) ) ) ) ) ) ) ).
fof(t20_goboard1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v3_relat_1(D))  &  (v1_matrix_0(D) &  (v1_goboard1(D) &  (v2_goboard1(D) &  (v3_goboard1(D) &  (v4_goboard1(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (k1_matrix_0(D)=k1_nat_1(B, 1) &  (r2_tarski(C, k2_finseq_1(B)) & r2_tarski(A, k4_finseq_1(D))) )  =>  (r1_xxreal_0(B, k5_numbers) |  (r2_tarski(C, k2_finseq_1(k1_matrix_0(D))) &  (k3_matrix_0(u1_struct_0(k15_euclid(2)), k16_matrix_0(k1_matrix_0(D), u1_struct_0(k15_euclid(2)), D), A, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), D, A, C) & r2_tarski(k1_matrix_0(D), k2_finseq_1(k1_matrix_0(D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_goboard1, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xboole_0(k10_xtuple_0(A), k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)), E, D))) &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), A, B), k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)), E, C))) &  (r2_tarski(B, k4_finseq_1(A)) &  (r2_tarski(D, k2_finseq_1(k1_matrix_0(E))) & r2_tarski(C, k4_finseq_1(E))) ) ) )  =>  (r1_xxreal_0(k1_matrix_0(E), 1) | r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), A, B), k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)), k16_matrix_0(D, u1_struct_0(k15_euclid(2)), E), C)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_goboard1, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(A)))  =>  (r1_goboard1(A, B, C) <=>  ( (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(D, k4_finseq_1(B)) &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r2_hidden(k4_tarski(E, F), k2_matrix_0(C)) & k7_partfun1(A, B, D)=k3_matrix_0(A, C, E, F)) ) ) ) ) ) ) ) ) )  &  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(D, k4_finseq_1(B)) & r2_tarski(k1_nat_1(D, 1), k4_finseq_1(B)))  =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (v7_ordinal1(H) =>  ( (r2_hidden(k4_tarski(E, F), k2_matrix_0(C)) &  (r2_hidden(k4_tarski(G, H), k2_matrix_0(C)) &  (k7_partfun1(A, B, D)=k3_matrix_0(A, C, E, F) & k7_partfun1(A, B, k1_nat_1(D, 1))=k3_matrix_0(A, C, G, H)) ) )  => k2_xcmplx_0(k9_complex1(k6_xcmplx_0(E, G)), k9_complex1(k6_xcmplx_0(F, H)))=1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_goboard1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  (m2_finseq_1(C, B) =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(B)))  =>  ( (r2_tarski(A, k4_finseq_1(C)) => r1_xxreal_0(1, k3_finseq_1(k17_finseq_1(B, A, C))))  &  (r1_goboard1(B, C, D) => r1_goboard1(B, k17_finseq_1(B, A, C), D)) ) ) ) ) ) ) ) ) ).
fof(t23_goboard1, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(C)))  =>  ( ( (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_tarski(E, k4_finseq_1(A)) &  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ~ ( (r2_hidden(k4_tarski(F, G), k2_matrix_0(D)) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, E)=k3_matrix_0(C, D, F, G)) ) ) ) ) ) ) ) ) )  &  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_tarski(E, k4_finseq_1(B)) &  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ~ ( (r2_hidden(k4_tarski(F, G), k2_matrix_0(D)) & k7_partfun1(u1_struct_0(k15_euclid(2)), B, E)=k3_matrix_0(C, D, F, G)) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_tarski(E, k4_finseq_1(k8_finseq_1(u1_struct_0(k15_euclid(2)), A, B))) &  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ~ ( (r2_hidden(k4_tarski(F, G), k2_matrix_0(D)) & k7_partfun1(u1_struct_0(k15_euclid(2)), k8_finseq_1(u1_struct_0(k15_euclid(2)), A, B), E)=k3_matrix_0(C, D, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_goboard1, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(C)))  =>  ( ( (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(E, k4_finseq_1(A)) & r2_tarski(k1_nat_1(E, 1), k4_finseq_1(A)))  =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (v7_ordinal1(H) =>  (! [I] :  (v7_ordinal1(I) =>  ( (r2_hidden(k4_tarski(F, G), k2_matrix_0(D)) &  (r2_hidden(k4_tarski(H, I), k2_matrix_0(D)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, E)=k3_matrix_0(C, D, F, G) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(E, 1))=k3_matrix_0(C, D, H, I)) ) )  => k2_xcmplx_0(k9_complex1(k6_xcmplx_0(F, H)), k9_complex1(k6_xcmplx_0(G, I)))=1) ) ) ) ) ) ) ) ) ) ) )  &  ( (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(E, k4_finseq_1(B)) & r2_tarski(k1_nat_1(E, 1), k4_finseq_1(B)))  =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (v7_ordinal1(H) =>  (! [I] :  (v7_ordinal1(I) =>  ( (r2_hidden(k4_tarski(F, G), k2_matrix_0(D)) &  (r2_hidden(k4_tarski(H, I), k2_matrix_0(D)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), B, E)=k3_matrix_0(C, D, F, G) & k7_partfun1(u1_struct_0(k15_euclid(2)), B, k1_nat_1(E, 1))=k3_matrix_0(C, D, H, I)) ) )  => k2_xcmplx_0(k9_complex1(k6_xcmplx_0(F, H)), k9_complex1(k6_xcmplx_0(G, I)))=1) ) ) ) ) ) ) ) ) ) ) )  &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (v7_ordinal1(H) =>  ( (r2_hidden(k4_tarski(E, F), k2_matrix_0(D)) &  (r2_hidden(k4_tarski(G, H), k2_matrix_0(D)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))=k3_matrix_0(C, D, E, F) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), B, 1)=k3_matrix_0(C, D, G, H) &  (r2_tarski(k3_finseq_1(A), k4_finseq_1(A)) & r2_tarski(1, k4_finseq_1(B))) ) ) ) )  => k2_xcmplx_0(k9_complex1(k6_xcmplx_0(E, G)), k9_complex1(k6_xcmplx_0(F, H)))=1) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(E, k4_finseq_1(k8_finseq_1(u1_struct_0(k15_euclid(2)), A, B))) & r2_tarski(k1_nat_1(E, 1), k4_finseq_1(k8_finseq_1(u1_struct_0(k15_euclid(2)), A, B))))  =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (v7_ordinal1(H) =>  (! [I] :  (v7_ordinal1(I) =>  ( (r2_hidden(k4_tarski(F, G), k2_matrix_0(D)) &  (r2_hidden(k4_tarski(H, I), k2_matrix_0(D)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), k8_finseq_1(u1_struct_0(k15_euclid(2)), A, B), E)=k3_matrix_0(C, D, F, G) & k7_partfun1(u1_struct_0(k15_euclid(2)), k8_finseq_1(u1_struct_0(k15_euclid(2)), A, B), k1_nat_1(E, 1))=k3_matrix_0(C, D, H, I)) ) )  => k2_xcmplx_0(k9_complex1(k6_xcmplx_0(F, H)), k9_complex1(k6_xcmplx_0(G, I)))=1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_goboard1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r1_goboard1(u1_struct_0(k15_euclid(2)), C, B) &  (r2_tarski(A, k2_finseq_1(k1_matrix_0(B))) & r1_xboole_0(k10_xtuple_0(C), k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)), B, A)))) )  =>  (r1_xxreal_0(k1_matrix_0(B), 1) | r1_goboard1(u1_struct_0(k15_euclid(2)), C, k16_matrix_0(A, u1_struct_0(k15_euclid(2)), B))) ) ) ) ) ) ) ) ).
fof(t26_goboard1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_goboard1(u1_struct_0(k15_euclid(2)), C, B) &  (r2_tarski(A, k4_finseq_1(C)) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(D, k4_finseq_1(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), C, A), k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)), B, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_goboard1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_goboard1(u1_struct_0(k15_euclid(2)), D, C) &  (r2_tarski(B, k4_finseq_1(D)) &  (r2_tarski(k1_nat_1(B, 1), k4_finseq_1(D)) &  (r2_tarski(A, k4_finseq_1(C)) &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), D, B), k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)), C, A))) &  ( ~ (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(B, 1)), k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)), C, A))))  &  (? [E] :  (v7_ordinal1(E) &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(B, 1)), k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)), C, E))) &  (r2_tarski(E, k4_finseq_1(C)) &  ~ (k9_complex1(k6_xcmplx_0(A, E))=1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_goboard1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r1_xxreal_0(1, k3_finseq_1(D)) &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), D, k3_finseq_1(D)), k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)), C, k3_finseq_1(C)))) &  (r1_goboard1(u1_struct_0(k15_euclid(2)), D, C) &  (r2_tarski(B, k4_finseq_1(C)) &  (r2_tarski(k1_nat_1(B, 1), k4_finseq_1(C)) &  (r2_tarski(A, k4_finseq_1(D)) &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), D, A), k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)), C, B))) &  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(E, k4_finseq_1(D)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), D, E), k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)), C, B))))  => r1_xxreal_0(E, A)) ) ) ) ) ) ) ) ) )  =>  (r2_tarski(k1_nat_1(A, 1), k4_finseq_1(D)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(A, 1)), k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(B, 1))))) ) ) ) ) ) ) ) ) ) ).
fof(t29_goboard1, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  ( (r1_xxreal_0(1, k3_finseq_1(B)) &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), B, 1), k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)), A, 1))) &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B)), k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A)))) & r1_goboard1(u1_struct_0(k15_euclid(2)), B, A)) ) )  =>  ( (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(A)) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(D, k4_finseq_1(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), B, D), k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)), A, C)))) ) ) ) ) ) ) ) )  &  ( (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(A)) &  (r1_xxreal_0(2, k3_finseq_1(B)) & r1_xboole_0(k3_topreal1(2, B), k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)), A, C)))) ) ) ) ) )  &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(A)) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k3_finseq_1(A)) &  (r2_tarski(E, k4_finseq_1(B)) &  (r2_tarski(F, k4_finseq_1(B)) &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), B, E), k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)), A, C))) &  ( (! [G] :  (v7_ordinal1(G) =>  ( (r2_tarski(G, k4_finseq_1(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), B, G), k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)), A, C))))  => r1_xxreal_0(G, E)) ) )  &  ( ~ (r1_xxreal_0(F, E))  &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), B, F), k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)), A, D))) & r1_xxreal_0(D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_goboard1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_goboard1(u1_struct_0(k15_euclid(2)), C, B) &  (r2_tarski(A, k4_finseq_1(C)) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(D, k2_finseq_1(k1_matrix_0(B))) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), C, A), k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)), B, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_goboard1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_goboard1(u1_struct_0(k15_euclid(2)), D, C) &  (r2_tarski(B, k4_finseq_1(D)) &  (r2_tarski(k1_nat_1(B, 1), k4_finseq_1(D)) &  (r2_tarski(A, k2_finseq_1(k1_matrix_0(C))) &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), D, B), k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)), C, A))) &  ( ~ (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(B, 1)), k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)), C, A))))  &  (? [E] :  (v7_ordinal1(E) &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(B, 1)), k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)), C, E))) &  (r2_tarski(E, k2_finseq_1(k1_matrix_0(C))) &  ~ (k9_complex1(k6_xcmplx_0(A, E))=1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_goboard1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r1_xxreal_0(1, k3_finseq_1(D)) &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), D, k3_finseq_1(D)), k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_matrix_0(C)))) &  (r1_goboard1(u1_struct_0(k15_euclid(2)), D, C) &  (r2_tarski(B, k2_finseq_1(k1_matrix_0(C))) &  (r2_tarski(k1_nat_1(B, 1), k2_finseq_1(k1_matrix_0(C))) &  (r2_tarski(A, k4_finseq_1(D)) &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), D, A), k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)), C, B))) &  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(E, k4_finseq_1(D)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), D, E), k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)), C, B))))  => r1_xxreal_0(E, A)) ) ) ) ) ) ) ) ) )  =>  (r2_tarski(k1_nat_1(A, 1), k4_finseq_1(D)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(A, 1)), k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(B, 1))))) ) ) ) ) ) ) ) ) ) ).
fof(t33_goboard1, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  ( (r1_xxreal_0(1, k3_finseq_1(B)) &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), B, 1), k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)), A, 1))) &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B)), k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)), A, k1_matrix_0(A)))) & r1_goboard1(u1_struct_0(k15_euclid(2)), B, A)) ) )  =>  ( (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(A)) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(D, k4_finseq_1(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), B, D), k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)), A, C)))) ) ) ) ) ) ) ) )  &  ( (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(A)) &  (r1_xxreal_0(2, k3_finseq_1(B)) & r1_xboole_0(k3_topreal1(2, B), k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)), A, C)))) ) ) ) ) )  &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(A)) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k1_matrix_0(A)) &  (r2_tarski(E, k4_finseq_1(B)) &  (r2_tarski(F, k4_finseq_1(B)) &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), B, E), k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)), A, C))) &  ( (! [G] :  (v7_ordinal1(G) =>  ( (r2_tarski(G, k4_finseq_1(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), B, G), k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)), A, C))))  => r1_xxreal_0(G, E)) ) )  &  ( ~ (r1_xxreal_0(F, E))  &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), B, F), k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)), A, D))) & r1_xxreal_0(D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_goboard1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(B, k2_finseq_1(k1_matrix_0(C))) &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), D, 1), k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)), C, 1))) &  (r1_goboard1(u1_struct_0(k15_euclid(2)), D, C) &  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(E, k4_finseq_1(D)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), D, E), k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)), C, B))))  => r1_xxreal_0(A, E)) ) ) ) ) )  =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(E, k4_finseq_1(D)) & r1_xxreal_0(E, A))  =>  (! [F] :  (v7_ordinal1(F) =>  ( (r2_tarski(F, k2_finseq_1(k1_matrix_0(C))) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), D, E), k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)), C, F))))  => r1_xxreal_0(F, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_goboard1, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_goboard1(u1_struct_0(k15_euclid(2)), B, A) &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), B, 1), k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)), A, 1))) &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B)), k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)), A, k1_matrix_0(A)))) &  ( ~ (r1_xxreal_0(k1_matrix_0(A), 1))  &  (r1_xxreal_0(1, k3_finseq_1(B)) &  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), C, 1), k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)), k16_matrix_0(k1_matrix_0(A), u1_struct_0(k15_euclid(2)), A), 1))) &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), C, k3_finseq_1(C)), k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)), k16_matrix_0(k1_matrix_0(A), u1_struct_0(k15_euclid(2)), A), k1_matrix_0(k16_matrix_0(k1_matrix_0(A), u1_struct_0(k15_euclid(2)), A))))) &  (r1_xxreal_0(1, k3_finseq_1(C)) &  (r1_goboard1(u1_struct_0(k15_euclid(2)), C, k16_matrix_0(k1_matrix_0(A), u1_struct_0(k15_euclid(2)), A)) & r1_tarski(k10_xtuple_0(C), k10_xtuple_0(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_goboard1, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_goboard1(u1_struct_0(k15_euclid(2)), B, A) &  ( ~ (k3_xboole_0(k10_xtuple_0(B), k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)), A, 1)))=k1_xboole_0)  &  ( ~ (k3_xboole_0(k10_xtuple_0(B), k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)), A, k1_matrix_0(A))))=k1_xboole_0)  &  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_tarski(k10_xtuple_0(C), k10_xtuple_0(B)) &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), C, 1), k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)), A, 1))) &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), C, k3_finseq_1(C)), k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)), A, k1_matrix_0(A)))) &  (r1_xxreal_0(1, k3_finseq_1(C)) & r1_goboard1(u1_struct_0(k15_euclid(2)), C, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_goboard1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(B, k4_finseq_1(C)) &  (r1_goboard1(u1_struct_0(k15_euclid(2)), D, C) &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), D, k3_finseq_1(D)), k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)), C, k3_finseq_1(C)))) &  (r2_tarski(A, k4_finseq_1(D)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), D, A), k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)), C, B)))) ) ) )  =>  ( (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(B, E) &  (r1_xxreal_0(E, k3_finseq_1(C)) &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r2_tarski(F, k4_finseq_1(D)) &  (r1_xxreal_0(A, F) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), D, F), k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)), C, E)))) ) ) ) ) ) ) ) ) )  &  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(E, B))  &  (r1_xxreal_0(E, k3_finseq_1(C)) &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r2_tarski(F, k4_finseq_1(D)) &  ( ~ (r1_xxreal_0(F, A))  & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), D, F), k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)), C, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_goboard1, axiom,  (! [A] :  (m1_finseq_1(A, u1_struct_0(k15_euclid(2))) => m2_finseq_1(k1_goboard1(A), k1_numbers)) ) ).
fof(dt_k2_goboard1, axiom,  (! [A] :  (m1_finseq_1(A, u1_struct_0(k15_euclid(2))) => m2_finseq_1(k2_goboard1(A), k1_numbers)) ) ).
fof(fc1_goboard2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  ~ (v1_xboole_0(k1_goboard1(A))) ) ) ).
fof(fc2_goboard2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  ~ (v1_xboole_0(k2_goboard1(A))) ) ) ).
fof(fc3_goboard2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(A, k1_numbers))  &  ( ~ (v1_xboole_0(B))  & m1_finseq_1(B, k1_numbers)) )  =>  ( ~ (v3_relat_1(k1_goboard2(A, B)))  &  (v1_matrix_0(k1_goboard2(A, B)) &  (v1_goboard1(k1_goboard2(A, B)) & v2_goboard1(k1_goboard2(A, B))) ) ) ) ) ).
fof(fc4_goboard2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v5_valued_0(A) & m1_finseq_1(A, k1_numbers)) )  &  ( ~ (v1_xboole_0(B))  &  (v5_valued_0(B) & m1_finseq_1(B, k1_numbers)) ) )  =>  (v1_matrix_0(k1_goboard2(A, B)) &  (v3_goboard1(k1_goboard2(A, B)) & v4_goboard1(k1_goboard2(A, B))) ) ) ) ).
fof(fc5_goboard2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  ( ~ (v3_relat_1(k2_goboard2(A)))  &  (v1_matrix_0(k2_goboard2(A)) &  (v1_goboard1(k2_goboard2(A)) &  (v2_goboard1(k2_goboard2(A)) &  (v3_goboard1(k2_goboard2(A)) & v4_goboard1(k2_goboard2(A))) ) ) ) ) ) ) ).
fof(t1_goboard2, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  ( (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r2_tarski(B, k4_finseq_1(A)) &  (r2_tarski(k1_nat_1(B, 1), k4_finseq_1(A)) &  (r2_tarski(C, k4_finseq_1(A)) & r2_tarski(k1_nat_1(C, 1), k4_finseq_1(A))) ) )  =>  (r1_xxreal_0(C, k1_nat_1(B, 1)) | r1_xboole_0(k2_topreal1(2, A, B), k2_topreal1(2, A, C))) ) ) ) ) )  => v3_topreal1(A)) ) ) ).
fof(t2_goboard2, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (v7_ordinal1(B) =>  ( (v2_topreal1(A) &  (v3_topreal1(A) &  (v2_funct_1(A) &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A)), k2_topreal1(2, A, B)) &  (r2_tarski(B, k4_finseq_1(A)) & r2_tarski(k1_nat_1(B, 1), k4_finseq_1(A))) ) ) ) )  => k1_nat_1(B, 1)=k3_finseq_1(A)) ) ) ) ) ).
fof(t3_goboard2, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (v7_ordinal1(B) =>  (k3_finseq_1(A)=k1_nat_1(B, 1) =>  (B=k5_numbers | k3_topreal1(2, A)=k4_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, k17_finseq_1(u1_struct_0(k15_euclid(2)), B, A)), k2_topreal1(2, A, B))) ) ) ) ) ) ).
fof(t4_goboard2, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (v7_ordinal1(B) =>  ( (k3_finseq_1(A)=k1_nat_1(B, 1) &  (v2_topreal1(A) & v3_topreal1(A)) )  =>  (r1_xxreal_0(B, 1) | k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, k17_finseq_1(u1_struct_0(k15_euclid(2)), B, A)), k2_topreal1(2, A, B))=k1_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), A, B))) ) ) ) ) ) ).
fof(t5_goboard2, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(k8_finseq_1(u1_struct_0(k15_euclid(2)), A, B))) & k1_nat_1(D, k3_finseq_1(A))=C)  =>  (r1_xxreal_0(C, k3_finseq_1(A)) | k2_topreal1(2, k8_finseq_1(u1_struct_0(k15_euclid(2)), A, B), C)=k2_topreal1(2, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t6_goboard2, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) => r1_tarski(k3_topreal1(2, A), k3_topreal1(2, k8_finseq_1(u1_struct_0(k15_euclid(2)), A, B)))) ) ) ) ).
fof(t7_goboard2, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (v7_ordinal1(B) =>  (v3_topreal1(A) => v3_topreal1(k17_finseq_1(u1_struct_0(k15_euclid(2)), B, A))) ) ) ) ) ).
fof(t8_goboard2, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  ( (v1_topreal1(A) & v1_topreal1(B))  =>  ( ( ~ (k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A)))=k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), B, 1)))  &  ~ (k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A)))=k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), B, 1))) )  | v1_topreal1(k8_finseq_1(u1_struct_0(k15_euclid(2)), A, B))) ) ) ) ) ) ).
fof(t9_goboard2, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (A=k1_xboole_0)  & k1_goboard1(A)=k1_xboole_0) ) ) ) ).
fof(t10_goboard2, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (A=k1_xboole_0)  & k2_goboard1(A)=k1_xboole_0) ) ) ) ).
fof(t11_goboard2, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (v1_topreal1(A) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r2_tarski(C, k4_finseq_1(A)) & r2_tarski(k1_nat_1(C, 1), k4_finseq_1(A)))  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ~ ( (r2_hidden(k4_tarski(D, E), k2_matrix_0(B)) &  (r2_hidden(k4_tarski(F, G), k2_matrix_0(B)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, D, E) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, F, G) &  ( ~ (D=F)  &  ~ (G=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_goboard2, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ~ ( ( (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(C, k4_finseq_1(A)) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_hidden(k4_tarski(D, E), k2_matrix_0(B)) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, D, E)) ) ) ) ) ) ) ) ) )  &  (v1_topreal1(A) &  ( (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(C, k4_finseq_1(A)) &  (r2_tarski(k1_nat_1(C, 1), k4_finseq_1(A)) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, C)=k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(C, 1))) ) ) ) )  &  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_goboard1(u1_struct_0(k15_euclid(2)), C, B) &  (k3_topreal1(2, A)=k3_topreal1(2, C) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, 1)=k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, k3_finseq_1(C))=k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A)) & r1_xxreal_0(k3_finseq_1(A), k3_finseq_1(C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_goboard2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  ( ~ (A=k1_xboole_0)  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  =>  (C=k1_goboard2(A, B) <=>  (k3_finseq_1(C)=k3_finseq_1(A) &  (k1_matrix_0(C)=k3_finseq_1(B) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_hidden(k4_tarski(D, E), k2_matrix_0(C)) => k3_matrix_0(u1_struct_0(k15_euclid(2)), C, D, E)=k19_euclid(k1_funct_1(A, D), k1_funct_1(B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_goboard2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  => k2_goboard2(A)=k1_goboard2(k26_seq_4(k1_goboard1(A)), k26_seq_4(k2_goboard1(A)))) ) ).
fof(t13_goboard2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (k3_finseq_1(k2_goboard2(A))=k1_card_1(k10_xtuple_0(k1_goboard1(A))) & k1_matrix_0(k2_goboard2(A))=k1_card_1(k10_xtuple_0(k2_goboard1(A)))) ) ) ).
fof(t14_goboard2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r2_tarski(B, k4_finseq_1(A)) &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_hidden(k4_tarski(C, D), k2_matrix_0(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_goboard2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, u1_struct_0(k15_euclid(2))))  =>  ( (r2_tarski(A, k4_finseq_1(B)) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => r1_xxreal_0(k1_funct_1(k1_goboard1(B), A), k1_funct_1(k1_goboard1(B), C))) ) ) )  => r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), B, A), k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(B), 1)))) ) ) ) ) ).
fof(t16_goboard2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, u1_struct_0(k15_euclid(2))))  =>  ( (r2_tarski(A, k4_finseq_1(B)) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => r1_xxreal_0(k1_funct_1(k1_goboard1(B), C), k1_funct_1(k1_goboard1(B), A))) ) ) )  => r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), B, A), k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(B), k3_finseq_1(k2_goboard2(B)))))) ) ) ) ) ).
fof(t17_goboard2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, u1_struct_0(k15_euclid(2))))  =>  ( (r2_tarski(A, k4_finseq_1(B)) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => r1_xxreal_0(k1_funct_1(k2_goboard1(B), A), k1_funct_1(k2_goboard1(B), C))) ) ) )  => r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), B, A), k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(B), 1)))) ) ) ) ) ).
fof(t18_goboard2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, u1_struct_0(k15_euclid(2))))  =>  ( (r2_tarski(A, k4_finseq_1(B)) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => r1_xxreal_0(k1_funct_1(k2_goboard1(B), C), k1_funct_1(k2_goboard1(B), A))) ) ) )  => r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), B, A), k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(B), k1_matrix_0(k2_goboard2(B)))))) ) ) ) ) ).
fof(dt_k1_goboard2, axiom,  (! [A, B] :  ( (m1_finseq_1(A, k1_numbers) & m1_finseq_1(B, k1_numbers))  =>  (v1_matrix_0(k1_goboard2(A, B)) & m2_finseq_1(k1_goboard2(A, B), k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ).
fof(dt_k2_goboard2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (v1_matrix_0(k2_goboard2(A)) & m2_finseq_1(k2_goboard2(A), k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ).
fof(t1_goboard3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ~ ( ( (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(C, k4_finseq_1(A)) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_hidden(k4_tarski(D, E), k2_matrix_0(B)) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, D, E)) ) ) ) ) ) ) ) ) )  &  (v2_funct_1(A) &  (v2_topreal1(A) &  (v3_topreal1(A) &  (v1_topreal1(A) &  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_goboard1(u1_struct_0(k15_euclid(2)), C, B) &  (v2_funct_1(C) &  (v2_topreal1(C) &  (v3_topreal1(C) &  (v1_topreal1(C) &  (k3_topreal1(2, A)=k3_topreal1(2, C) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1)=k7_partfun1(u1_struct_0(k15_euclid(2)), C, 1) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))=k7_partfun1(u1_struct_0(k15_euclid(2)), C, k3_finseq_1(C)) & r1_xxreal_0(k3_finseq_1(A), k3_finseq_1(C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_goboard3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ~ ( ( (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(C, k4_finseq_1(A)) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_hidden(k4_tarski(D, E), k2_matrix_0(B)) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, D, E)) ) ) ) ) ) ) ) ) )  &  (v4_topreal1(A) &  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_goboard1(u1_struct_0(k15_euclid(2)), C, B) &  (v4_topreal1(C) &  (k3_topreal1(2, A)=k3_topreal1(2, C) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1)=k7_partfun1(u1_struct_0(k15_euclid(2)), C, 1) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))=k7_partfun1(u1_struct_0(k15_euclid(2)), C, k3_finseq_1(C)) & r1_xxreal_0(k3_finseq_1(A), k3_finseq_1(C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_goboard4, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_xxreal_0(1, k3_finseq_1(B)) &  (r1_xxreal_0(1, k3_finseq_1(C)) &  (r1_goboard1(u1_struct_0(k15_euclid(2)), B, A) &  (r1_goboard1(u1_struct_0(k15_euclid(2)), C, A) &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), B, 1), k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)), A, 1))) &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B)), k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A)))) &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), C, 1), k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)), A, 1))) &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), C, k3_finseq_1(C)), k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)), A, k1_matrix_0(A)))) & r1_xboole_0(k10_xtuple_0(B), k10_xtuple_0(C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_goboard4, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_xxreal_0(2, k3_finseq_1(B)) &  (r1_xxreal_0(2, k3_finseq_1(C)) &  (r1_goboard1(u1_struct_0(k15_euclid(2)), B, A) &  (r1_goboard1(u1_struct_0(k15_euclid(2)), C, A) &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), B, 1), k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)), A, 1))) &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B)), k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A)))) &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), C, 1), k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)), A, 1))) &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), C, k3_finseq_1(C)), k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)), A, k1_matrix_0(A)))) & r1_xboole_0(k3_topreal1(2, B), k3_topreal1(2, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_goboard4, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_xxreal_0(2, k3_finseq_1(B)) &  (r1_xxreal_0(2, k3_finseq_1(C)) &  (r1_goboard1(u1_struct_0(k15_euclid(2)), B, A) &  (r1_goboard1(u1_struct_0(k15_euclid(2)), C, A) &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), B, 1), k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)), A, 1))) &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B)), k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A)))) &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), C, 1), k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)), A, 1))) &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), C, k3_finseq_1(C)), k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)), A, k1_matrix_0(A)))) & r1_xboole_0(k3_topreal1(2, B), k3_topreal1(2, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_goboard4, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (r1_goboard4(A, B, C) <=> r1_tarski(k10_xtuple_0(A), k1_xxreal_1(B, C))) ) ) ) ) ) ) ).
fof(d2_goboard4, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (r1_goboard4(A, B, C) <=>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(A)) =>  (r1_xxreal_0(B, k1_funct_1(A, D)) & r1_xxreal_0(k1_funct_1(A, D), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_goboard4, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_xxreal_0(2, k3_finseq_1(A)) &  (r1_xxreal_0(2, k3_finseq_1(B)) &  (v1_topreal1(A) &  (v1_topreal1(B) &  ( (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(C, k4_finseq_1(A)) &  (r2_tarski(k1_nat_1(C, 1), k4_finseq_1(A)) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, C)=k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(C, 1))) ) ) ) )  &  ( (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(C, k4_finseq_1(B)) &  (r2_tarski(k1_nat_1(C, 1), k4_finseq_1(B)) & k7_partfun1(u1_struct_0(k15_euclid(2)), B, C)=k7_partfun1(u1_struct_0(k15_euclid(2)), B, k1_nat_1(C, 1))) ) ) ) )  &  (r1_goboard4(k1_goboard1(A), k1_funct_1(k1_goboard1(A), 1), k1_funct_1(k1_goboard1(A), k3_finseq_1(A))) &  (r1_goboard4(k1_goboard1(B), k1_funct_1(k1_goboard1(A), 1), k1_funct_1(k1_goboard1(A), k3_finseq_1(A))) &  (r1_goboard4(k2_goboard1(A), k1_funct_1(k2_goboard1(B), 1), k1_funct_1(k2_goboard1(B), k3_finseq_1(B))) &  (r1_goboard4(k2_goboard1(B), k1_funct_1(k2_goboard1(B), 1), k1_funct_1(k2_goboard1(B), k3_finseq_1(B))) & r1_xboole_0(k3_topreal1(2, A), k3_topreal1(2, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_goboard4, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  ~ ( (v2_funct_1(A) &  (v1_topreal1(A) &  (r1_xxreal_0(2, k3_finseq_1(A)) &  (v2_funct_1(B) &  (v1_topreal1(B) &  (r1_xxreal_0(2, k3_finseq_1(B)) &  (r1_goboard4(k1_goboard1(A), k1_funct_1(k1_goboard1(A), 1), k1_funct_1(k1_goboard1(A), k3_finseq_1(A))) &  (r1_goboard4(k1_goboard1(B), k1_funct_1(k1_goboard1(A), 1), k1_funct_1(k1_goboard1(A), k3_finseq_1(A))) &  (r1_goboard4(k2_goboard1(A), k1_funct_1(k2_goboard1(B), 1), k1_funct_1(k2_goboard1(B), k3_finseq_1(B))) &  (r1_goboard4(k2_goboard1(B), k1_funct_1(k2_goboard1(B), 1), k1_funct_1(k2_goboard1(B), k3_finseq_1(B))) & r1_xboole_0(k3_topreal1(2, A), k3_topreal1(2, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_goboard4, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_topreal4(A, C, E) &  (r1_topreal4(B, D, F) &  ( (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(G, k4_subset_1(u1_struct_0(k15_euclid(2)), A, B)) =>  (r1_xxreal_0(k17_euclid(C), k17_euclid(G)) & r1_xxreal_0(k17_euclid(G), k17_euclid(E))) ) ) )  &  ( (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(G, k4_subset_1(u1_struct_0(k15_euclid(2)), A, B)) =>  (r1_xxreal_0(k18_euclid(D), k18_euclid(G)) & r1_xxreal_0(k18_euclid(G), k18_euclid(F))) ) ) )  & r1_xboole_0(A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_goboard5, axiom,  (? [A] :  (m1_finseq_1(A, u1_struct_0(k15_euclid(2))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_struct_0(k15_euclid(2))) &  (v1_funct_1(A) &  ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) & v2_goboard5(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_goboard5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  =>  ( (v2_goboard1(C) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k1_matrix_0(C)) &  (r1_xxreal_0(1, A) & r1_xxreal_0(A, k3_finseq_1(C))) ) ) )  => k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, B))=k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, 1, B))) ) ) ) ) ) ) ).
fof(t2_goboard5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  =>  ( (v1_goboard1(C) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k1_matrix_0(C)) &  (r1_xxreal_0(1, A) & r1_xxreal_0(A, k3_finseq_1(C))) ) ) )  => k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, B))=k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, 1))) ) ) ) ) ) ) ).
fof(t3_goboard5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  =>  ~ ( (v4_goboard1(D) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(D)) &  (r1_xxreal_0(1, A) &  ( ~ (r1_xxreal_0(B, A))  &  (r1_xxreal_0(B, k3_finseq_1(D)) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), D, B, C)), k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), D, A, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_goboard5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  =>  ~ ( (v3_goboard1(D) &  (r1_xxreal_0(1, B) &  ( ~ (r1_xxreal_0(C, B))  &  (r1_xxreal_0(C, k1_matrix_0(D)) &  (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, k3_finseq_1(D)) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), D, A, C)), k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), D, A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_goboard5, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k3_goboard5(A, B, C)=k9_subset_1(u1_struct_0(k15_euclid(2)), k1_goboard5(A, B), k2_goboard5(A, C))) ) ) ) ) ) ).
fof(d4_goboard5, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (v1_goboard5(A) <=>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k1_nat_1(B, 1)))  &  ( ~ ( ( ~ ( ( ~ (r1_xxreal_0(B, 1))  &  ~ (r1_xxreal_0(k3_finseq_1(A), C)) ) )  & r1_xxreal_0(k3_finseq_1(A), k1_nat_1(C, 1))) )  &  ~ (r1_xboole_0(k2_topreal1(2, A, B), k2_topreal1(2, A, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_goboard5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (v2_goboard5(A) <=> r1_goboard1(u1_struct_0(k15_euclid(2)), A, k2_goboard2(A))) ) ) ).
fof(t11_goboard5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r2_tarski(B, k4_finseq_1(A)) &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_hidden(k4_tarski(C, D), k2_matrix_0(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_goboard5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r2_tarski(B, k4_finseq_1(A)) & r2_tarski(k1_nat_1(B, 1), k4_finseq_1(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r2_hidden(k4_tarski(C, D), k2_matrix_0(k2_goboard2(A))) &  (r2_hidden(k4_tarski(E, F), k2_matrix_0(k2_goboard2(A))) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), C, D) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), E, F)) ) )  => k2_xcmplx_0(k9_complex1(k6_xcmplx_0(C, E)), k9_complex1(k6_xcmplx_0(D, F)))=1) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_goboard5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 1), k3_finseq_1(A)))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (C=k4_goboard5(A, B) <=>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ~ ( (r2_hidden(k4_tarski(D, E), k2_matrix_0(k2_goboard2(A))) &  (r2_hidden(k4_tarski(F, G), k2_matrix_0(k2_goboard2(A))) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), D, E) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), F, G) &  ( ~ ( (D=F &  (k1_nat_1(E, 1)=G & C=k3_goboard5(k2_goboard2(A), D, E)) ) )  &  ( ~ ( (k1_nat_1(D, 1)=F &  (E=G & C=k3_goboard5(k2_goboard2(A), D, k7_nat_d(E, 1))) ) )  &  ( ~ ( (D=k1_nat_1(F, 1) &  (E=G & C=k3_goboard5(k2_goboard2(A), F, G)) ) )  &  ~ ( (D=F &  (E=k1_nat_1(G, 1) & C=k3_goboard5(k2_goboard2(A), k7_nat_d(D, 1), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_goboard5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 1), k3_finseq_1(A)))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (C=k5_goboard5(A, B) <=>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ~ ( (r2_hidden(k4_tarski(D, E), k2_matrix_0(k2_goboard2(A))) &  (r2_hidden(k4_tarski(F, G), k2_matrix_0(k2_goboard2(A))) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), D, E) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), F, G) &  ( ~ ( (D=F &  (k1_nat_1(E, 1)=G & C=k3_goboard5(k2_goboard2(A), k7_nat_d(D, 1), E)) ) )  &  ( ~ ( (k1_nat_1(D, 1)=F &  (E=G & C=k3_goboard5(k2_goboard2(A), D, E)) ) )  &  ( ~ ( (D=k1_nat_1(F, 1) &  (E=G & C=k3_goboard5(k2_goboard2(A), F, k7_nat_d(G, 1))) ) )  &  ~ ( (D=F &  (E=k1_nat_1(G, 1) & C=k3_goboard5(k2_goboard2(A), D, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_goboard5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  =>  ( (v1_goboard1(C) &  (v4_goboard1(C) & r1_xxreal_0(1, B)) )  =>  (v3_relat_1(C) |  (r1_xxreal_0(k3_finseq_1(C), A) |  (r1_xxreal_0(k1_matrix_0(C), B) | r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), B), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), k1_nat_1(B, 1))), k1_goboard5(C, A))) ) ) ) ) ) ) ) ) ) ).
fof(t14_goboard5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  =>  ( (v1_goboard1(C) &  (v4_goboard1(C) &  (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, k3_finseq_1(C)) & r1_xxreal_0(1, B)) ) ) )  =>  (v3_relat_1(C) |  (r1_xxreal_0(k1_matrix_0(C), B) | r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, k1_nat_1(B, 1))), k1_goboard5(C, A))) ) ) ) ) ) ) ) ) ).
fof(t15_goboard5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  =>  ( (v2_goboard1(C) &  (v3_goboard1(C) & r1_xxreal_0(1, A)) )  =>  (v3_relat_1(C) |  (r1_xxreal_0(k1_matrix_0(C), B) |  (r1_xxreal_0(k3_finseq_1(C), A) | r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, k1_nat_1(B, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), k1_nat_1(B, 1))), k2_goboard5(C, B))) ) ) ) ) ) ) ) ) ) ).
fof(t16_goboard5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  =>  ( (v2_goboard1(C) &  (v3_goboard1(C) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k1_matrix_0(C)) & r1_xxreal_0(1, A)) ) ) )  =>  (v3_relat_1(C) |  (r1_xxreal_0(k3_finseq_1(C), A) | r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), B)), k2_goboard5(C, B))) ) ) ) ) ) ) ) ) ).
fof(t17_goboard5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  =>  ( (v2_goboard1(C) &  (v3_goboard1(C) &  (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, k3_finseq_1(C)) &  (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 1), k1_matrix_0(C))) ) ) ) )  => r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, k1_nat_1(B, 1))), k2_goboard5(C, B))) ) ) ) ) ) ) ).
fof(t18_goboard5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_xxreal_0(1, B) =>  (r1_xxreal_0(k3_finseq_1(C), A) |  (r1_xxreal_0(k1_matrix_0(C), B) | r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), B), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), k1_nat_1(B, 1))), k3_goboard5(C, A, B))) ) ) ) ) ) ) ) ) ).
fof(t19_goboard5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, k3_finseq_1(C)) & r1_xxreal_0(1, B)) )  =>  (r1_xxreal_0(k1_matrix_0(C), B) | r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, k1_nat_1(B, 1))), k3_goboard5(C, A, B))) ) ) ) ) ) ) ) ).
fof(t20_goboard5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  =>  ( (v1_goboard1(C) &  (v4_goboard1(C) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k1_matrix_0(C)) &  (r1_xxreal_0(1, A) & r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(C))) ) ) ) )  => r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), B)), k1_goboard5(C, A))) ) ) ) ) ) ) ).
fof(t21_goboard5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(k1_matrix_0(C), B) |  (r1_xxreal_0(k3_finseq_1(C), A) | r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, k1_nat_1(B, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), k1_nat_1(B, 1))), k3_goboard5(C, A, B))) ) ) ) ) ) ) ) ) ).
fof(t22_goboard5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(1, B) & r1_xxreal_0(B, k1_matrix_0(C))) )  =>  (r1_xxreal_0(k3_finseq_1(C), A) | r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), B)), k3_goboard5(C, A, B))) ) ) ) ) ) ) ) ).
fof(t25_goboard5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_xxreal_0(1, B) =>  (r1_xxreal_0(k3_finseq_1(C), A) |  (r1_xxreal_0(k1_matrix_0(C), B) | k9_subset_1(u1_struct_0(k15_euclid(2)), k3_goboard5(C, A, B), k3_goboard5(C, k1_nat_1(A, 1), B))=k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), B), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), k1_nat_1(B, 1)))) ) ) ) ) ) ) ) ) ).
fof(t26_goboard5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(k1_matrix_0(C), B) |  (r1_xxreal_0(k3_finseq_1(C), A) | k9_subset_1(u1_struct_0(k15_euclid(2)), k3_goboard5(C, A, B), k3_goboard5(C, A, k1_nat_1(B, 1)))=k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, k1_nat_1(B, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), k1_nat_1(B, 1)))) ) ) ) ) ) ) ) ) ).
fof(t27_goboard5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_finseq_6(D, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(D) &  (v2_topreal1(D) &  (v1_goboard5(D) &  (v2_goboard5(D) & m2_finseq_1(D, u1_struct_0(k15_euclid(2)))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(D)) &  (r2_hidden(k4_tarski(k1_nat_1(A, 1), B), k2_matrix_0(k2_goboard2(D))) &  (r2_hidden(k4_tarski(k1_nat_1(A, 1), k1_nat_1(B, 1)), k2_matrix_0(k2_goboard2(D))) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), B) & k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), k1_nat_1(B, 1))) ) ) ) )  =>  (k5_goboard5(D, C)=k3_goboard5(k2_goboard2(D), A, B) & k4_goboard5(D, C)=k3_goboard5(k2_goboard2(D), k1_nat_1(A, 1), B)) ) ) ) ) ) ) ) ) ) ).
fof(t28_goboard5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_finseq_6(D, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(D) &  (v2_topreal1(D) &  (v1_goboard5(D) &  (v2_goboard5(D) & m2_finseq_1(D, u1_struct_0(k15_euclid(2)))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(D)) &  (r2_hidden(k4_tarski(A, k1_nat_1(B, 1)), k2_matrix_0(k2_goboard2(D))) &  (r2_hidden(k4_tarski(k1_nat_1(A, 1), k1_nat_1(B, 1)), k2_matrix_0(k2_goboard2(D))) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, k1_nat_1(B, 1)) & k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), k1_nat_1(B, 1))) ) ) ) )  =>  (k5_goboard5(D, C)=k3_goboard5(k2_goboard2(D), A, k1_nat_1(B, 1)) & k4_goboard5(D, C)=k3_goboard5(k2_goboard2(D), A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t29_goboard5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_finseq_6(D, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(D) &  (v2_topreal1(D) &  (v1_goboard5(D) &  (v2_goboard5(D) & m2_finseq_1(D, u1_struct_0(k15_euclid(2)))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(D)) &  (r2_hidden(k4_tarski(A, k1_nat_1(B, 1)), k2_matrix_0(k2_goboard2(D))) &  (r2_hidden(k4_tarski(k1_nat_1(A, 1), k1_nat_1(B, 1)), k2_matrix_0(k2_goboard2(D))) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), k1_nat_1(B, 1)) & k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, k1_nat_1(B, 1))) ) ) ) )  =>  (k5_goboard5(D, C)=k3_goboard5(k2_goboard2(D), A, B) & k4_goboard5(D, C)=k3_goboard5(k2_goboard2(D), A, k1_nat_1(B, 1))) ) ) ) ) ) ) ) ) ) ).
fof(t30_goboard5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_finseq_6(D, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(D) &  (v2_topreal1(D) &  (v1_goboard5(D) &  (v2_goboard5(D) & m2_finseq_1(D, u1_struct_0(k15_euclid(2)))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(D)) &  (r2_hidden(k4_tarski(k1_nat_1(A, 1), k1_nat_1(B, 1)), k2_matrix_0(k2_goboard2(D))) &  (r2_hidden(k4_tarski(k1_nat_1(A, 1), B), k2_matrix_0(k2_goboard2(D))) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), k1_nat_1(B, 1)) & k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), B)) ) ) ) )  =>  (k5_goboard5(D, C)=k3_goboard5(k2_goboard2(D), k1_nat_1(A, 1), B) & k4_goboard5(D, C)=k3_goboard5(k2_goboard2(D), A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t31_goboard5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(B) &  (v2_topreal1(B) &  (v1_goboard5(B) &  (v2_goboard5(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(B)))  => k9_subset_1(u1_struct_0(k15_euclid(2)), k5_goboard5(B, A), k4_goboard5(B, A))=k2_topreal1(2, B, A)) ) ) ) ) ).
fof(dt_k1_goboard5, axiom,  (! [A, B] :  ( ( (v1_matrix_0(A) & m1_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  & v7_ordinal1(B))  => m1_subset_1(k1_goboard5(A, B), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k2_goboard5, axiom,  (! [A, B] :  ( ( (v1_matrix_0(A) & m1_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  & v7_ordinal1(B))  => m1_subset_1(k2_goboard5(A, B), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k3_goboard5, axiom,  (! [A, B, C] :  ( ( (v1_matrix_0(A) & m1_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  &  (v7_ordinal1(B) & v7_ordinal1(C)) )  => m1_subset_1(k3_goboard5(A, B, C), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k4_goboard5, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) )  & v7_ordinal1(B))  => m1_subset_1(k4_goboard5(A, B), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k5_goboard5, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) )  & v7_ordinal1(B))  => m1_subset_1(k5_goboard5(A, B), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(d1_goboard5, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) =>  (r1_xxreal_0(k3_finseq_1(A), B) | k1_goboard5(A, B)=a_2_0_goboard5(A, B)) )  &  ( (r1_xxreal_0(k3_finseq_1(A), B) => k1_goboard5(A, B)=a_2_1_goboard5(A, B))  &  ~ ( ( ~ ( (r1_xxreal_0(1, B) &  ~ (r1_xxreal_0(k3_finseq_1(A), B)) ) )  &  ( ~ (r1_xxreal_0(k3_finseq_1(A), B))  &  ~ (k1_goboard5(A, B)=a_2_2_goboard5(A, B)) ) ) ) ) ) ) ) ) ) ).
fof(d2_goboard5, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) =>  (r1_xxreal_0(k1_matrix_0(A), B) | k2_goboard5(A, B)=a_2_3_goboard5(A, B)) )  &  ( (r1_xxreal_0(k1_matrix_0(A), B) => k2_goboard5(A, B)=a_2_4_goboard5(A, B))  &  ~ ( ( ~ ( (r1_xxreal_0(1, B) &  ~ (r1_xxreal_0(k1_matrix_0(A), B)) ) )  &  ( ~ (r1_xxreal_0(k1_matrix_0(A), B))  &  ~ (k2_goboard5(A, B)=a_2_5_goboard5(A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t5_goboard5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  =>  ( (v2_goboard1(C) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(1, A) & r1_xxreal_0(A, k3_finseq_1(C))) ) )  =>  (r1_xxreal_0(k1_matrix_0(C), B) | k2_goboard5(C, B)=a_3_0_goboard5(A, B, C)) ) ) ) ) ) ) ) ).
fof(t6_goboard5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  =>  ( (v2_goboard1(B) &  (r1_xxreal_0(1, A) & r1_xxreal_0(A, k3_finseq_1(B))) )  =>  (v3_relat_1(B) | k2_goboard5(B, k1_matrix_0(B))=a_2_6_goboard5(A, B)) ) ) ) ) ) ).
fof(t7_goboard5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  =>  ( (v2_goboard1(B) &  (r1_xxreal_0(1, A) & r1_xxreal_0(A, k3_finseq_1(B))) )  =>  (v3_relat_1(B) | k2_goboard5(B, k5_numbers)=a_2_7_goboard5(A, B)) ) ) ) ) ) ).
fof(t8_goboard5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  =>  ( (v1_goboard1(C) &  (r1_xxreal_0(1, A) &  (r1_xxreal_0(1, B) & r1_xxreal_0(B, k1_matrix_0(C))) ) )  =>  (r1_xxreal_0(k3_finseq_1(C), A) | k1_goboard5(C, A)=a_3_1_goboard5(A, B, C)) ) ) ) ) ) ) ) ).
fof(t9_goboard5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  =>  ( (v1_goboard1(B) &  (r1_xxreal_0(1, A) & r1_xxreal_0(A, k1_matrix_0(B))) )  =>  (v3_relat_1(B) | k1_goboard5(B, k3_finseq_1(B))=a_2_8_goboard5(A, B)) ) ) ) ) ) ).
fof(t10_goboard5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  =>  ( (v1_goboard1(B) &  (r1_xxreal_0(1, A) & r1_xxreal_0(A, k1_matrix_0(B))) )  =>  (v3_relat_1(B) | k1_goboard5(B, k5_numbers)=a_2_9_goboard5(A, B)) ) ) ) ) ) ).
fof(t23_goboard5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  =>  ( (v1_goboard1(B) &  (v4_goboard1(B) & r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(B))) )  =>  (v3_relat_1(B) | k9_subset_1(u1_struct_0(k15_euclid(2)), k1_goboard5(B, A), k1_goboard5(B, k1_nat_1(A, 1)))=a_2_10_goboard5(A, B)) ) ) ) ) ) ).
fof(t24_goboard5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  =>  ( (v2_goboard1(B) &  (v3_goboard1(B) & r1_xxreal_0(k1_nat_1(A, 1), k1_matrix_0(B))) )  =>  (v3_relat_1(B) | k9_subset_1(u1_struct_0(k15_euclid(2)), k2_goboard5(B, A), k2_goboard5(B, k1_nat_1(A, 1)))=a_2_11_goboard5(A, B)) ) ) ) ) ) ).
fof(fraenkel_a_2_0_goboard5, axiom,  (! [A, B, C] :  ( ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  & v7_ordinal1(C))  =>  (r2_hidden(A, a_2_0_goboard5(B, C)) <=>  (? [D, E] :  ( (v1_xreal_0(D) & v1_xreal_0(E))  &  (A=k19_euclid(D, E) &  (r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, C, 1)), D) & r1_xxreal_0(D, k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k1_nat_1(C, 1), 1)))) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_goboard5, axiom,  (! [A, B, C] :  ( ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  & v7_ordinal1(C))  =>  (r2_hidden(A, a_2_1_goboard5(B, C)) <=>  (? [D, E] :  ( (v1_xreal_0(D) & v1_xreal_0(E))  &  (A=k19_euclid(D, E) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, C, 1)), D)) ) ) ) ) ) ).
fof(fraenkel_a_2_2_goboard5, axiom,  (! [A, B, C] :  ( ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  & v7_ordinal1(C))  =>  (r2_hidden(A, a_2_2_goboard5(B, C)) <=>  (? [D, E] :  ( (v1_xreal_0(D) & v1_xreal_0(E))  &  (A=k19_euclid(D, E) & r1_xxreal_0(D, k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k1_nat_1(C, 1), 1)))) ) ) ) ) ) ).
fof(fraenkel_a_2_3_goboard5, axiom,  (! [A, B, C] :  ( ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  & v7_ordinal1(C))  =>  (r2_hidden(A, a_2_3_goboard5(B, C)) <=>  (? [D, E] :  ( (v1_xreal_0(D) & v1_xreal_0(E))  &  (A=k19_euclid(D, E) &  (r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, C)), E) & r1_xxreal_0(E, k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, k1_nat_1(C, 1))))) ) ) ) ) ) ) ).
fof(fraenkel_a_2_4_goboard5, axiom,  (! [A, B, C] :  ( ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  & v7_ordinal1(C))  =>  (r2_hidden(A, a_2_4_goboard5(B, C)) <=>  (? [D, E] :  ( (v1_xreal_0(D) & v1_xreal_0(E))  &  (A=k19_euclid(D, E) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, C)), E)) ) ) ) ) ) ).
fof(fraenkel_a_2_5_goboard5, axiom,  (! [A, B, C] :  ( ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  & v7_ordinal1(C))  =>  (r2_hidden(A, a_2_5_goboard5(B, C)) <=>  (? [D, E] :  ( (v1_xreal_0(D) & v1_xreal_0(E))  &  (A=k19_euclid(D, E) & r1_xxreal_0(E, k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, k1_nat_1(C, 1))))) ) ) ) ) ) ).
fof(fraenkel_a_3_0_goboard5, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(B) &  (v7_ordinal1(C) &  (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) )  =>  (r2_hidden(A, a_3_0_goboard5(B, C, D)) <=>  (? [E, F] :  ( (v1_xreal_0(E) & v1_xreal_0(F))  &  (A=k19_euclid(E, F) &  (r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), D, B, C)), F) & r1_xxreal_0(F, k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), D, B, k1_nat_1(C, 1))))) ) ) ) ) ) ) ).
fof(fraenkel_a_2_6_goboard5, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) &  (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) )  =>  (r2_hidden(A, a_2_6_goboard5(B, C)) <=>  (? [D, E] :  ( (v1_xreal_0(D) & v1_xreal_0(E))  &  (A=k19_euclid(D, E) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, B, k1_matrix_0(C))), E)) ) ) ) ) ) ).
fof(fraenkel_a_2_7_goboard5, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) &  (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) )  =>  (r2_hidden(A, a_2_7_goboard5(B, C)) <=>  (? [D, E] :  ( (v1_xreal_0(D) & v1_xreal_0(E))  &  (A=k19_euclid(D, E) & r1_xxreal_0(E, k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, B, 1)))) ) ) ) ) ) ).
fof(fraenkel_a_3_1_goboard5, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(B) &  (v7_ordinal1(C) &  (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) )  =>  (r2_hidden(A, a_3_1_goboard5(B, C, D)) <=>  (? [E, F] :  ( (v1_xreal_0(E) & v1_xreal_0(F))  &  (A=k19_euclid(E, F) &  (r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), D, B, C)), E) & r1_xxreal_0(E, k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), D, k1_nat_1(B, 1), C)))) ) ) ) ) ) ) ).
fof(fraenkel_a_2_8_goboard5, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) &  (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) )  =>  (r2_hidden(A, a_2_8_goboard5(B, C)) <=>  (? [D, E] :  ( (v1_xreal_0(D) & v1_xreal_0(E))  &  (A=k19_euclid(D, E) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k3_finseq_1(C), B)), D)) ) ) ) ) ) ).
fof(fraenkel_a_2_9_goboard5, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) &  (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) )  =>  (r2_hidden(A, a_2_9_goboard5(B, C)) <=>  (? [D, E] :  ( (v1_xreal_0(D) & v1_xreal_0(E))  &  (A=k19_euclid(D, E) & r1_xxreal_0(D, k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, 1, B)))) ) ) ) ) ) ).
fof(fraenkel_a_2_10_goboard5, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) &  (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) )  =>  (r2_hidden(A, a_2_10_goboard5(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) &  (A=D & k17_euclid(D)=k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(B, 1), 1))) ) ) ) ) ) ).
fof(fraenkel_a_2_11_goboard5, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) &  (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) )  =>  (r2_hidden(A, a_2_11_goboard5(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) &  (A=D & k18_euclid(D)=k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, 1, k1_nat_1(B, 1)))) ) ) ) ) ) ).
fof(t1_goboard6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) & l1_metric_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  => r2_tarski(B, k8_metric_1(A, B, C))) ) ) ) ) ) ) ).
fof(t2_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k14_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (v1_xreal_0(D) =>  (B=C =>  (r1_xxreal_0(D, k5_numbers) | m1_connsp_2(k8_metric_1(k14_euclid(A), B, D), k15_euclid(A), C)) ) ) ) ) ) ) ) ) ) ).
fof(t3_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_euclid(A))) =>  (C=k8_metric_1(k14_euclid(A), D, B) => v3_pre_topc(C, k15_euclid(A))) ) ) ) ) ) ) ) ) ).
fof(t4_goboard6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) =>  (r2_tarski(B, k1_tops_1(k3_pcomps_1(A), C)) <=>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, k5_numbers))  & r1_tarski(k8_metric_1(A, B, D), C)) ) ) ) ) ) ) ) ) ) ).
fof(t5_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k14_euclid(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (r2_tarski(B, k1_tops_1(k15_euclid(A), C)) <=>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, k5_numbers))  & r1_tarski(k8_metric_1(k14_euclid(A), B, D), C)) ) ) ) ) ) ) ) ) ) ).
fof(t6_goboard6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k14_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k14_euclid(2))) =>  ( (E=k19_euclid(A, B) & F=k19_euclid(C, D))  => k3_metric_1(k14_euclid(2), E, F)=k3_square_1(k2_xcmplx_0(k1_square_1(k6_xcmplx_0(A, C)), k1_square_1(k6_xcmplx_0(B, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_goboard6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k14_euclid(2))) =>  ( (E=k19_euclid(A, B) & r1_xxreal_0(k5_numbers, D))  =>  (r1_xxreal_0(C, D) | r2_tarski(k19_euclid(k2_xcmplx_0(A, D), B), k8_metric_1(k14_euclid(2), E, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_goboard6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k14_euclid(2))) =>  ( (E=k19_euclid(A, B) & r1_xxreal_0(k5_numbers, D))  =>  (r1_xxreal_0(C, D) | r2_tarski(k19_euclid(A, k2_xcmplx_0(B, D)), k8_metric_1(k14_euclid(2), E, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_goboard6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k14_euclid(2))) =>  ( (E=k19_euclid(A, B) & r1_xxreal_0(k5_numbers, D))  =>  (r1_xxreal_0(C, D) | r2_tarski(k19_euclid(k6_xcmplx_0(A, D), B), k8_metric_1(k14_euclid(2), E, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_goboard6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k14_euclid(2))) =>  ( (E=k19_euclid(A, B) & r1_xxreal_0(k5_numbers, D))  =>  (r1_xxreal_0(C, D) | r2_tarski(k19_euclid(A, k6_xcmplx_0(B, D)), k8_metric_1(k14_euclid(2), E, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(1, B))  =>  (r1_xxreal_0(k3_finseq_1(C), A) |  (r1_xxreal_0(k1_matrix_0(C), B) | k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), k1_nat_1(B, 1)))=k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, k1_nat_1(B, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), B))) ) ) ) ) ) ) ) ) ).
fof(t27_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ~ ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, k1_matrix_0(C)) &  (r2_tarski(B, k1_tops_1(k15_euclid(2), k2_goboard5(C, A))) & r1_xxreal_0(k18_euclid(B), k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, 1, A)))) ) ) ) ) ) ) ) ) ) ).
fof(t28_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ~ ( ( ~ (r1_xxreal_0(k1_matrix_0(C), A))  &  (r2_tarski(B, k1_tops_1(k15_euclid(2), k2_goboard5(C, A))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, 1, k1_nat_1(A, 1))), k18_euclid(B))) ) ) ) ) ) ) ) ) ).
fof(t29_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ~ ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, k3_finseq_1(C)) &  (r2_tarski(B, k1_tops_1(k15_euclid(2), k1_goboard5(C, A))) & r1_xxreal_0(k17_euclid(B), k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, 1)))) ) ) ) ) ) ) ) ) ) ).
fof(t30_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ~ ( ( ~ (r1_xxreal_0(k3_finseq_1(C), A))  &  (r2_tarski(B, k1_tops_1(k15_euclid(2), k1_goboard5(C, A))) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), 1)), k17_euclid(B))) ) ) ) ) ) ) ) ) ).
fof(t31_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(C)) &  (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 1), k1_matrix_0(C))) ) )  => r2_tarski(k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), k1_nat_1(B, 1))), k7_xcmplx_0(1, 2)), k1_tops_1(k15_euclid(2), k3_goboard5(C, A, B)))) ) ) ) ) ) ) ).
fof(t32_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(B)))  => r2_tarski(k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, A, k1_matrix_0(B)), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k1_nat_1(A, 1), k1_matrix_0(B))), k7_xcmplx_0(1, 2)), k19_euclid(k5_numbers, 1)), k1_tops_1(k15_euclid(2), k3_goboard5(B, A, k1_matrix_0(B))))) ) ) ) ) ).
fof(t33_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(B)))  => r2_tarski(k5_algstr_0(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, A, 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k1_nat_1(A, 1), 1)), k7_xcmplx_0(1, 2)), k19_euclid(k5_numbers, 1)), k1_tops_1(k15_euclid(2), k3_goboard5(B, A, k5_numbers)))) ) ) ) ) ).
fof(t34_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(k1_nat_1(A, 1), k1_matrix_0(B)))  => r2_tarski(k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B), A), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B), k1_nat_1(A, 1))), k7_xcmplx_0(1, 2)), k19_euclid(1, k5_numbers)), k1_tops_1(k15_euclid(2), k3_goboard5(B, k3_finseq_1(B), A)))) ) ) ) ) ).
fof(t35_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(k1_nat_1(A, 1), k1_matrix_0(B)))  => r2_tarski(k5_algstr_0(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, A), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, k1_nat_1(A, 1))), k7_xcmplx_0(1, 2)), k19_euclid(1, k5_numbers)), k1_tops_1(k15_euclid(2), k3_goboard5(B, k5_numbers, A)))) ) ) ) ) ).
fof(t36_goboard6, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  => r2_tarski(k5_algstr_0(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, 1, 1), k19_euclid(1, 1)), k1_tops_1(k15_euclid(2), k3_goboard5(A, k5_numbers, k5_numbers)))) ) ).
fof(t37_goboard6, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  => r2_tarski(k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A), k1_matrix_0(A)), k19_euclid(1, 1)), k1_tops_1(k15_euclid(2), k3_goboard5(A, k3_finseq_1(A), k1_matrix_0(A))))) ) ).
fof(t38_goboard6, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  => r2_tarski(k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, 1, k1_matrix_0(A)), k19_euclid(k4_xcmplx_0(1), 1)), k1_tops_1(k15_euclid(2), k3_goboard5(A, k5_numbers, k1_matrix_0(A))))) ) ).
fof(t39_goboard6, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  => r2_tarski(k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A), 1), k19_euclid(1, k4_xcmplx_0(1))), k1_tops_1(k15_euclid(2), k3_goboard5(A, k3_finseq_1(A), k5_numbers)))) ) ).
fof(t40_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(1, B))  =>  (r1_xxreal_0(k3_finseq_1(C), A) |  (r1_xxreal_0(k1_matrix_0(C), B) | r1_tarski(k1_rltopsp1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), k1_nat_1(B, 1))), k7_xcmplx_0(1, 2)), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, k1_nat_1(B, 1))), k7_xcmplx_0(1, 2))), k2_xboole_0(k1_tops_1(k15_euclid(2), k3_goboard5(C, A, B)), k1_tarski(k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, k1_nat_1(B, 1))), k7_xcmplx_0(1, 2)))))) ) ) ) ) ) ) ) ) ).
fof(t41_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(1, B))  =>  (r1_xxreal_0(k3_finseq_1(C), A) |  (r1_xxreal_0(k1_matrix_0(C), B) | r1_tarski(k1_rltopsp1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), k1_nat_1(B, 1))), k7_xcmplx_0(1, 2)), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, k1_nat_1(B, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), k1_nat_1(B, 1))), k7_xcmplx_0(1, 2))), k2_xboole_0(k1_tops_1(k15_euclid(2), k3_goboard5(C, A, B)), k1_tarski(k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, k1_nat_1(B, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), k1_nat_1(B, 1))), k7_xcmplx_0(1, 2)))))) ) ) ) ) ) ) ) ) ).
fof(t42_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(1, B))  =>  (r1_xxreal_0(k3_finseq_1(C), A) |  (r1_xxreal_0(k1_matrix_0(C), B) | r1_tarski(k1_rltopsp1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), k1_nat_1(B, 1))), k7_xcmplx_0(1, 2)), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), B), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), k1_nat_1(B, 1))), k7_xcmplx_0(1, 2))), k2_xboole_0(k1_tops_1(k15_euclid(2), k3_goboard5(C, A, B)), k1_tarski(k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), B), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), k1_nat_1(B, 1))), k7_xcmplx_0(1, 2)))))) ) ) ) ) ) ) ) ) ).
fof(t43_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(1, B))  =>  (r1_xxreal_0(k3_finseq_1(C), A) |  (r1_xxreal_0(k1_matrix_0(C), B) | r1_tarski(k1_rltopsp1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), k1_nat_1(B, 1))), k7_xcmplx_0(1, 2)), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), B)), k7_xcmplx_0(1, 2))), k2_xboole_0(k1_tops_1(k15_euclid(2), k3_goboard5(C, A, B)), k1_tarski(k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), B)), k7_xcmplx_0(1, 2)))))) ) ) ) ) ) ) ) ) ).
fof(t44_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(k1_matrix_0(B), A) | r1_tarski(k1_rltopsp1(k15_euclid(2), k5_algstr_0(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, A), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, k1_nat_1(A, 1))), k7_xcmplx_0(1, 2)), k19_euclid(1, k5_numbers)), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, A), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, k1_nat_1(A, 1))), k7_xcmplx_0(1, 2))), k2_xboole_0(k1_tops_1(k15_euclid(2), k3_goboard5(B, k5_numbers, A)), k1_tarski(k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, A), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, k1_nat_1(A, 1))), k7_xcmplx_0(1, 2)))))) ) ) ) ) ) ).
fof(t45_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(k1_matrix_0(B), A) | r1_tarski(k1_rltopsp1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B), A), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B), k1_nat_1(A, 1))), k7_xcmplx_0(1, 2)), k19_euclid(1, k5_numbers)), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B), A), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B), k1_nat_1(A, 1))), k7_xcmplx_0(1, 2))), k2_xboole_0(k1_tops_1(k15_euclid(2), k3_goboard5(B, k3_finseq_1(B), A)), k1_tarski(k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B), A), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B), k1_nat_1(A, 1))), k7_xcmplx_0(1, 2)))))) ) ) ) ) ) ).
fof(t46_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(k3_finseq_1(B), A) | r1_tarski(k1_rltopsp1(k15_euclid(2), k5_algstr_0(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, A, 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k1_nat_1(A, 1), 1)), k7_xcmplx_0(1, 2)), k19_euclid(k5_numbers, 1)), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, A, 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k1_nat_1(A, 1), 1)), k7_xcmplx_0(1, 2))), k2_xboole_0(k1_tops_1(k15_euclid(2), k3_goboard5(B, A, k5_numbers)), k1_tarski(k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, A, 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k1_nat_1(A, 1), 1)), k7_xcmplx_0(1, 2)))))) ) ) ) ) ) ).
fof(t47_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(k3_finseq_1(B), A) | r1_tarski(k1_rltopsp1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, A, k1_matrix_0(B)), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k1_nat_1(A, 1), k1_matrix_0(B))), k7_xcmplx_0(1, 2)), k19_euclid(k5_numbers, 1)), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, A, k1_matrix_0(B)), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k1_nat_1(A, 1), k1_matrix_0(B))), k7_xcmplx_0(1, 2))), k2_xboole_0(k1_tops_1(k15_euclid(2), k3_goboard5(B, A, k1_matrix_0(B))), k1_tarski(k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, A, k1_matrix_0(B)), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k1_nat_1(A, 1), k1_matrix_0(B))), k7_xcmplx_0(1, 2)))))) ) ) ) ) ) ).
fof(t48_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(k1_matrix_0(B), A) | r1_tarski(k1_rltopsp1(k15_euclid(2), k5_algstr_0(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, A), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, k1_nat_1(A, 1))), k7_xcmplx_0(1, 2)), k19_euclid(1, k5_numbers)), k5_algstr_0(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, A), k19_euclid(1, k5_numbers))), k2_xboole_0(k1_tops_1(k15_euclid(2), k3_goboard5(B, k5_numbers, A)), k1_tarski(k5_algstr_0(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, A), k19_euclid(1, k5_numbers)))))) ) ) ) ) ) ).
fof(t49_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(k1_matrix_0(B), A) | r1_tarski(k1_rltopsp1(k15_euclid(2), k5_algstr_0(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, A), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, k1_nat_1(A, 1))), k7_xcmplx_0(1, 2)), k19_euclid(1, k5_numbers)), k5_algstr_0(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, k1_nat_1(A, 1)), k19_euclid(1, k5_numbers))), k2_xboole_0(k1_tops_1(k15_euclid(2), k3_goboard5(B, k5_numbers, A)), k1_tarski(k5_algstr_0(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, k1_nat_1(A, 1)), k19_euclid(1, k5_numbers)))))) ) ) ) ) ) ).
fof(t50_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(k1_matrix_0(B), A) | r1_tarski(k1_rltopsp1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B), A), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B), k1_nat_1(A, 1))), k7_xcmplx_0(1, 2)), k19_euclid(1, k5_numbers)), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B), A), k19_euclid(1, k5_numbers))), k2_xboole_0(k1_tops_1(k15_euclid(2), k3_goboard5(B, k3_finseq_1(B), A)), k1_tarski(k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B), A), k19_euclid(1, k5_numbers)))))) ) ) ) ) ) ).
fof(t51_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(k1_matrix_0(B), A) | r1_tarski(k1_rltopsp1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B), A), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B), k1_nat_1(A, 1))), k7_xcmplx_0(1, 2)), k19_euclid(1, k5_numbers)), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B), k1_nat_1(A, 1)), k19_euclid(1, k5_numbers))), k2_xboole_0(k1_tops_1(k15_euclid(2), k3_goboard5(B, k3_finseq_1(B), A)), k1_tarski(k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B), k1_nat_1(A, 1)), k19_euclid(1, k5_numbers)))))) ) ) ) ) ) ).
fof(t52_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(k3_finseq_1(B), A) | r1_tarski(k1_rltopsp1(k15_euclid(2), k5_algstr_0(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, A, 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k1_nat_1(A, 1), 1)), k7_xcmplx_0(1, 2)), k19_euclid(k5_numbers, 1)), k5_algstr_0(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, A, 1), k19_euclid(k5_numbers, 1))), k2_xboole_0(k1_tops_1(k15_euclid(2), k3_goboard5(B, A, k5_numbers)), k1_tarski(k5_algstr_0(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, A, 1), k19_euclid(k5_numbers, 1)))))) ) ) ) ) ) ).
fof(t53_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(k3_finseq_1(B), A) | r1_tarski(k1_rltopsp1(k15_euclid(2), k5_algstr_0(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, A, 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k1_nat_1(A, 1), 1)), k7_xcmplx_0(1, 2)), k19_euclid(k5_numbers, 1)), k5_algstr_0(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k1_nat_1(A, 1), 1), k19_euclid(k5_numbers, 1))), k2_xboole_0(k1_tops_1(k15_euclid(2), k3_goboard5(B, A, k5_numbers)), k1_tarski(k5_algstr_0(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k1_nat_1(A, 1), 1), k19_euclid(k5_numbers, 1)))))) ) ) ) ) ) ).
fof(t54_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(k3_finseq_1(B), A) | r1_tarski(k1_rltopsp1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, A, k1_matrix_0(B)), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k1_nat_1(A, 1), k1_matrix_0(B))), k7_xcmplx_0(1, 2)), k19_euclid(k5_numbers, 1)), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, A, k1_matrix_0(B)), k19_euclid(k5_numbers, 1))), k2_xboole_0(k1_tops_1(k15_euclid(2), k3_goboard5(B, A, k1_matrix_0(B))), k1_tarski(k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, A, k1_matrix_0(B)), k19_euclid(k5_numbers, 1)))))) ) ) ) ) ) ).
fof(t55_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(k3_finseq_1(B), A) | r1_tarski(k1_rltopsp1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, A, k1_matrix_0(B)), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k1_nat_1(A, 1), k1_matrix_0(B))), k7_xcmplx_0(1, 2)), k19_euclid(k5_numbers, 1)), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k1_nat_1(A, 1), k1_matrix_0(B)), k19_euclid(k5_numbers, 1))), k2_xboole_0(k1_tops_1(k15_euclid(2), k3_goboard5(B, A, k1_matrix_0(B))), k1_tarski(k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k1_nat_1(A, 1), k1_matrix_0(B)), k19_euclid(k5_numbers, 1)))))) ) ) ) ) ) ).
fof(t56_goboard6, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  => r1_tarski(k1_rltopsp1(k15_euclid(2), k5_algstr_0(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, 1, 1), k19_euclid(1, 1)), k5_algstr_0(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, 1, 1), k19_euclid(1, k5_numbers))), k2_xboole_0(k1_tops_1(k15_euclid(2), k3_goboard5(A, k5_numbers, k5_numbers)), k1_tarski(k5_algstr_0(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, 1, 1), k19_euclid(1, k5_numbers)))))) ) ).
fof(t57_goboard6, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  => r1_tarski(k1_rltopsp1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A), 1), k19_euclid(1, k4_xcmplx_0(1))), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A), 1), k19_euclid(1, k5_numbers))), k2_xboole_0(k1_tops_1(k15_euclid(2), k3_goboard5(A, k3_finseq_1(A), k5_numbers)), k1_tarski(k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A), 1), k19_euclid(1, k5_numbers)))))) ) ).
fof(t58_goboard6, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  => r1_tarski(k1_rltopsp1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, 1, k1_matrix_0(A)), k19_euclid(k4_xcmplx_0(1), 1)), k5_algstr_0(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, 1, k1_matrix_0(A)), k19_euclid(1, k5_numbers))), k2_xboole_0(k1_tops_1(k15_euclid(2), k3_goboard5(A, k5_numbers, k1_matrix_0(A))), k1_tarski(k5_algstr_0(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, 1, k1_matrix_0(A)), k19_euclid(1, k5_numbers)))))) ) ).
fof(t59_goboard6, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  => r1_tarski(k1_rltopsp1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A), k1_matrix_0(A)), k19_euclid(1, 1)), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A), k1_matrix_0(A)), k19_euclid(1, k5_numbers))), k2_xboole_0(k1_tops_1(k15_euclid(2), k3_goboard5(A, k3_finseq_1(A), k1_matrix_0(A))), k1_tarski(k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A), k1_matrix_0(A)), k19_euclid(1, k5_numbers)))))) ) ).
fof(t60_goboard6, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  => r1_tarski(k1_rltopsp1(k15_euclid(2), k5_algstr_0(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, 1, 1), k19_euclid(1, 1)), k5_algstr_0(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, 1, 1), k19_euclid(k5_numbers, 1))), k2_xboole_0(k1_tops_1(k15_euclid(2), k3_goboard5(A, k5_numbers, k5_numbers)), k1_tarski(k5_algstr_0(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, 1, 1), k19_euclid(k5_numbers, 1)))))) ) ).
fof(t61_goboard6, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  => r1_tarski(k1_rltopsp1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A), 1), k19_euclid(1, k4_xcmplx_0(1))), k5_algstr_0(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A), 1), k19_euclid(k5_numbers, 1))), k2_xboole_0(k1_tops_1(k15_euclid(2), k3_goboard5(A, k3_finseq_1(A), k5_numbers)), k1_tarski(k5_algstr_0(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A), 1), k19_euclid(k5_numbers, 1)))))) ) ).
fof(t62_goboard6, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  => r1_tarski(k1_rltopsp1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, 1, k1_matrix_0(A)), k19_euclid(k4_xcmplx_0(1), 1)), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, 1, k1_matrix_0(A)), k19_euclid(k5_numbers, 1))), k2_xboole_0(k1_tops_1(k15_euclid(2), k3_goboard5(A, k5_numbers, k1_matrix_0(A))), k1_tarski(k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, 1, k1_matrix_0(A)), k19_euclid(k5_numbers, 1)))))) ) ).
fof(t63_goboard6, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  => r1_tarski(k1_rltopsp1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A), k1_matrix_0(A)), k19_euclid(1, 1)), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A), k1_matrix_0(A)), k19_euclid(k5_numbers, 1))), k2_xboole_0(k1_tops_1(k15_euclid(2), k3_goboard5(A, k3_finseq_1(A), k1_matrix_0(A))), k1_tarski(k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A), k1_matrix_0(A)), k19_euclid(k5_numbers, 1)))))) ) ).
fof(t64_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(1, B))  =>  (r1_xxreal_0(k3_finseq_1(C), A) |  (r1_xxreal_0(k1_matrix_0(C), k1_nat_1(B, 1)) | r1_tarski(k1_rltopsp1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), k1_nat_1(B, 1))), k7_xcmplx_0(1, 2)), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, k1_nat_1(B, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), k1_nat_1(B, 2))), k7_xcmplx_0(1, 2))), k2_xboole_0(k4_subset_1(u1_struct_0(k15_euclid(2)), k1_tops_1(k15_euclid(2), k3_goboard5(C, A, B)), k1_tops_1(k15_euclid(2), k3_goboard5(C, A, k1_nat_1(B, 1)))), k1_tarski(k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, k1_nat_1(B, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), k1_nat_1(B, 1))), k7_xcmplx_0(1, 2)))))) ) ) ) ) ) ) ) ) ).
fof(t65_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(1, A))  =>  (r1_xxreal_0(k1_matrix_0(C), B) |  (r1_xxreal_0(k3_finseq_1(C), k1_nat_1(A, 1)) | r1_tarski(k1_rltopsp1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), k1_nat_1(B, 1))), k7_xcmplx_0(1, 2)), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), B), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 2), k1_nat_1(B, 1))), k7_xcmplx_0(1, 2))), k2_xboole_0(k4_subset_1(u1_struct_0(k15_euclid(2)), k1_tops_1(k15_euclid(2), k3_goboard5(C, A, B)), k1_tops_1(k15_euclid(2), k3_goboard5(C, k1_nat_1(A, 1), B))), k1_tarski(k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), B), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), k1_nat_1(B, 1))), k7_xcmplx_0(1, 2)))))) ) ) ) ) ) ) ) ) ).
fof(t66_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(k3_finseq_1(B), A) |  (r1_xxreal_0(k1_matrix_0(B), 1) | r1_tarski(k1_rltopsp1(k15_euclid(2), k5_algstr_0(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, A, 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k1_nat_1(A, 1), 1)), k7_xcmplx_0(1, 2)), k19_euclid(k5_numbers, 1)), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, A, 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k1_nat_1(A, 1), 2)), k7_xcmplx_0(1, 2))), k2_xboole_0(k4_subset_1(u1_struct_0(k15_euclid(2)), k1_tops_1(k15_euclid(2), k3_goboard5(B, A, k5_numbers)), k1_tops_1(k15_euclid(2), k3_goboard5(B, A, 1))), k1_tarski(k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, A, 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k1_nat_1(A, 1), 1)), k7_xcmplx_0(1, 2)))))) ) ) ) ) ) ) ).
fof(t67_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(k3_finseq_1(B), A) |  (r1_xxreal_0(k1_matrix_0(B), 1) | r1_tarski(k1_rltopsp1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, A, k1_matrix_0(B)), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k1_nat_1(A, 1), k1_matrix_0(B))), k7_xcmplx_0(1, 2)), k19_euclid(k5_numbers, 1)), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, A, k1_matrix_0(B)), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k1_nat_1(A, 1), k7_nat_d(k1_matrix_0(B), 1))), k7_xcmplx_0(1, 2))), k2_xboole_0(k4_subset_1(u1_struct_0(k15_euclid(2)), k1_tops_1(k15_euclid(2), k3_goboard5(B, A, k7_nat_d(k1_matrix_0(B), 1))), k1_tops_1(k15_euclid(2), k3_goboard5(B, A, k1_matrix_0(B)))), k1_tarski(k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, A, k1_matrix_0(B)), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k1_nat_1(A, 1), k1_matrix_0(B))), k7_xcmplx_0(1, 2)))))) ) ) ) ) ) ) ).
fof(t68_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(k1_matrix_0(B), A) |  (r1_xxreal_0(k3_finseq_1(B), 1) | r1_tarski(k1_rltopsp1(k15_euclid(2), k5_algstr_0(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, A), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, k1_nat_1(A, 1))), k7_xcmplx_0(1, 2)), k19_euclid(1, k5_numbers)), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, A), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 2, k1_nat_1(A, 1))), k7_xcmplx_0(1, 2))), k2_xboole_0(k4_subset_1(u1_struct_0(k15_euclid(2)), k1_tops_1(k15_euclid(2), k3_goboard5(B, k5_numbers, A)), k1_tops_1(k15_euclid(2), k3_goboard5(B, 1, A))), k1_tarski(k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, A), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, k1_nat_1(A, 1))), k7_xcmplx_0(1, 2)))))) ) ) ) ) ) ) ).
fof(t69_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(k1_matrix_0(B), A) |  (r1_xxreal_0(k3_finseq_1(B), 1) | r1_tarski(k1_rltopsp1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B), A), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B), k1_nat_1(A, 1))), k7_xcmplx_0(1, 2)), k19_euclid(1, k5_numbers)), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B), A), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k7_nat_d(k3_finseq_1(B), 1), k1_nat_1(A, 1))), k7_xcmplx_0(1, 2))), k2_xboole_0(k4_subset_1(u1_struct_0(k15_euclid(2)), k1_tops_1(k15_euclid(2), k3_goboard5(B, k7_nat_d(k3_finseq_1(B), 1), A)), k1_tops_1(k15_euclid(2), k3_goboard5(B, k3_finseq_1(B), A))), k1_tarski(k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B), A), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B), k1_nat_1(A, 1))), k7_xcmplx_0(1, 2)))))) ) ) ) ) ) ) ).
fof(t70_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(k3_finseq_1(B), 1) |  (r1_xxreal_0(k1_matrix_0(B), k1_nat_1(A, 1)) | r1_tarski(k1_rltopsp1(k15_euclid(2), k5_algstr_0(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, A), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, k1_nat_1(A, 1))), k7_xcmplx_0(1, 2)), k19_euclid(1, k5_numbers)), k5_algstr_0(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, k1_nat_1(A, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, k1_nat_1(A, 2))), k7_xcmplx_0(1, 2)), k19_euclid(1, k5_numbers))), k2_xboole_0(k4_subset_1(u1_struct_0(k15_euclid(2)), k1_tops_1(k15_euclid(2), k3_goboard5(B, k5_numbers, A)), k1_tops_1(k15_euclid(2), k3_goboard5(B, k5_numbers, k1_nat_1(A, 1)))), k1_tarski(k5_algstr_0(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, k1_nat_1(A, 1)), k19_euclid(1, k5_numbers)))))) ) ) ) ) ) ) ).
fof(t71_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(k3_finseq_1(B), 1) |  (r1_xxreal_0(k1_matrix_0(B), k1_nat_1(A, 1)) | r1_tarski(k1_rltopsp1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B), A), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B), k1_nat_1(A, 1))), k7_xcmplx_0(1, 2)), k19_euclid(1, k5_numbers)), k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B), k1_nat_1(A, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B), k1_nat_1(A, 2))), k7_xcmplx_0(1, 2)), k19_euclid(1, k5_numbers))), k2_xboole_0(k4_subset_1(u1_struct_0(k15_euclid(2)), k1_tops_1(k15_euclid(2), k3_goboard5(B, k3_finseq_1(B), A)), k1_tops_1(k15_euclid(2), k3_goboard5(B, k3_finseq_1(B), k1_nat_1(A, 1)))), k1_tarski(k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B), k1_nat_1(A, 1)), k19_euclid(1, k5_numbers)))))) ) ) ) ) ) ) ).
fof(t72_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(k1_matrix_0(B), 1) |  (r1_xxreal_0(k3_finseq_1(B), k1_nat_1(A, 1)) | r1_tarski(k1_rltopsp1(k15_euclid(2), k5_algstr_0(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, A, 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k1_nat_1(A, 1), 1)), k7_xcmplx_0(1, 2)), k19_euclid(k5_numbers, 1)), k5_algstr_0(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k1_nat_1(A, 1), 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k1_nat_1(A, 2), 1)), k7_xcmplx_0(1, 2)), k19_euclid(k5_numbers, 1))), k2_xboole_0(k4_subset_1(u1_struct_0(k15_euclid(2)), k1_tops_1(k15_euclid(2), k3_goboard5(B, A, k5_numbers)), k1_tops_1(k15_euclid(2), k3_goboard5(B, k1_nat_1(A, 1), k5_numbers))), k1_tarski(k5_algstr_0(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k1_nat_1(A, 1), 1), k19_euclid(k5_numbers, 1)))))) ) ) ) ) ) ) ).
fof(t73_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(k1_matrix_0(B), 1) |  (r1_xxreal_0(k3_finseq_1(B), k1_nat_1(A, 1)) | r1_tarski(k1_rltopsp1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, A, k1_matrix_0(B)), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k1_nat_1(A, 1), k1_matrix_0(B))), k7_xcmplx_0(1, 2)), k19_euclid(k5_numbers, 1)), k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k1_nat_1(A, 1), k1_matrix_0(B)), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k1_nat_1(A, 2), k1_matrix_0(B))), k7_xcmplx_0(1, 2)), k19_euclid(k5_numbers, 1))), k2_xboole_0(k4_subset_1(u1_struct_0(k15_euclid(2)), k1_tops_1(k15_euclid(2), k3_goboard5(B, A, k1_matrix_0(B))), k1_tops_1(k15_euclid(2), k3_goboard5(B, k1_nat_1(A, 1), k1_matrix_0(B)))), k1_tarski(k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k1_nat_1(A, 1), k1_matrix_0(B)), k19_euclid(k5_numbers, 1)))))) ) ) ) ) ) ) ).
fof(t74_goboard6, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ~ ( ( ~ (r1_xxreal_0(k3_finseq_1(A), 1))  &  ( ~ (r1_xxreal_0(k1_matrix_0(A), 1))  &  ~ (r1_tarski(k1_rltopsp1(k15_euclid(2), k5_algstr_0(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, 1, 1), k19_euclid(1, 1)), k5_algstr_0(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, 1, 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, 1, 2)), k7_xcmplx_0(1, 2)), k19_euclid(1, k5_numbers))), k2_xboole_0(k4_subset_1(u1_struct_0(k15_euclid(2)), k1_tops_1(k15_euclid(2), k3_goboard5(A, k5_numbers, k5_numbers)), k1_tops_1(k15_euclid(2), k3_goboard5(A, k5_numbers, 1))), k1_tarski(k5_algstr_0(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, 1, 1), k19_euclid(1, k5_numbers)))))) ) ) ) ) ) ).
fof(t75_goboard6, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ~ ( ( ~ (r1_xxreal_0(k3_finseq_1(A), 1))  &  ( ~ (r1_xxreal_0(k1_matrix_0(A), 1))  &  ~ (r1_tarski(k1_rltopsp1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A), 1), k19_euclid(1, k4_xcmplx_0(1))), k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A), 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A), 2)), k7_xcmplx_0(1, 2)), k19_euclid(1, k5_numbers))), k2_xboole_0(k4_subset_1(u1_struct_0(k15_euclid(2)), k1_tops_1(k15_euclid(2), k3_goboard5(A, k3_finseq_1(A), k5_numbers)), k1_tops_1(k15_euclid(2), k3_goboard5(A, k3_finseq_1(A), 1))), k1_tarski(k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A), 1), k19_euclid(1, k5_numbers)))))) ) ) ) ) ) ).
fof(t76_goboard6, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ~ ( ( ~ (r1_xxreal_0(k3_finseq_1(A), 1))  &  ( ~ (r1_xxreal_0(k1_matrix_0(A), 1))  &  ~ (r1_tarski(k1_rltopsp1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, 1, k1_matrix_0(A)), k19_euclid(k4_xcmplx_0(1), 1)), k5_algstr_0(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, 1, k1_matrix_0(A)), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, 1, k7_nat_d(k1_matrix_0(A), 1))), k7_xcmplx_0(1, 2)), k19_euclid(1, k5_numbers))), k2_xboole_0(k4_subset_1(u1_struct_0(k15_euclid(2)), k1_tops_1(k15_euclid(2), k3_goboard5(A, k5_numbers, k1_matrix_0(A))), k1_tops_1(k15_euclid(2), k3_goboard5(A, k5_numbers, k7_nat_d(k1_matrix_0(A), 1)))), k1_tarski(k5_algstr_0(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, 1, k1_matrix_0(A)), k19_euclid(1, k5_numbers)))))) ) ) ) ) ) ).
fof(t77_goboard6, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ~ ( ( ~ (r1_xxreal_0(k3_finseq_1(A), 1))  &  ( ~ (r1_xxreal_0(k1_matrix_0(A), 1))  &  ~ (r1_tarski(k1_rltopsp1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A), k1_matrix_0(A)), k19_euclid(1, 1)), k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A), k1_matrix_0(A)), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A), k7_nat_d(k1_matrix_0(A), 1))), k7_xcmplx_0(1, 2)), k19_euclid(1, k5_numbers))), k2_xboole_0(k4_subset_1(u1_struct_0(k15_euclid(2)), k1_tops_1(k15_euclid(2), k3_goboard5(A, k3_finseq_1(A), k1_matrix_0(A))), k1_tops_1(k15_euclid(2), k3_goboard5(A, k3_finseq_1(A), k7_nat_d(k1_matrix_0(A), 1)))), k1_tarski(k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A), k1_matrix_0(A)), k19_euclid(1, k5_numbers)))))) ) ) ) ) ) ).
fof(t78_goboard6, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ~ ( ( ~ (r1_xxreal_0(k1_matrix_0(A), 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(A), 1))  &  ~ (r1_tarski(k1_rltopsp1(k15_euclid(2), k5_algstr_0(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, 1, 1), k19_euclid(1, 1)), k5_algstr_0(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, 1, 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, 2, 1)), k7_xcmplx_0(1, 2)), k19_euclid(k5_numbers, 1))), k2_xboole_0(k4_subset_1(u1_struct_0(k15_euclid(2)), k1_tops_1(k15_euclid(2), k3_goboard5(A, k5_numbers, k5_numbers)), k1_tops_1(k15_euclid(2), k3_goboard5(A, 1, k5_numbers))), k1_tarski(k5_algstr_0(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, 1, 1), k19_euclid(k5_numbers, 1)))))) ) ) ) ) ) ).
fof(t79_goboard6, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ~ ( ( ~ (r1_xxreal_0(k1_matrix_0(A), 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(A), 1))  &  ~ (r1_tarski(k1_rltopsp1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, 1, k1_matrix_0(A)), k19_euclid(k4_xcmplx_0(1), 1)), k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, 1, k1_matrix_0(A)), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, 2, k1_matrix_0(A))), k7_xcmplx_0(1, 2)), k19_euclid(k5_numbers, 1))), k2_xboole_0(k4_subset_1(u1_struct_0(k15_euclid(2)), k1_tops_1(k15_euclid(2), k3_goboard5(A, k5_numbers, k1_matrix_0(A))), k1_tops_1(k15_euclid(2), k3_goboard5(A, 1, k1_matrix_0(A)))), k1_tarski(k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, 1, k1_matrix_0(A)), k19_euclid(k5_numbers, 1)))))) ) ) ) ) ) ).
fof(t80_goboard6, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ~ ( ( ~ (r1_xxreal_0(k1_matrix_0(A), 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(A), 1))  &  ~ (r1_tarski(k1_rltopsp1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A), 1), k19_euclid(1, k4_xcmplx_0(1))), k5_algstr_0(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A), 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k7_nat_d(k3_finseq_1(A), 1), 1)), k7_xcmplx_0(1, 2)), k19_euclid(k5_numbers, 1))), k2_xboole_0(k4_subset_1(u1_struct_0(k15_euclid(2)), k1_tops_1(k15_euclid(2), k3_goboard5(A, k3_finseq_1(A), k5_numbers)), k1_tops_1(k15_euclid(2), k3_goboard5(A, k7_nat_d(k3_finseq_1(A), 1), k5_numbers))), k1_tarski(k5_algstr_0(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A), 1), k19_euclid(k5_numbers, 1)))))) ) ) ) ) ) ).
fof(t81_goboard6, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ~ ( ( ~ (r1_xxreal_0(k1_matrix_0(A), 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(A), 1))  &  ~ (r1_tarski(k1_rltopsp1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A), k1_matrix_0(A)), k19_euclid(1, 1)), k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A), k1_matrix_0(A)), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k7_nat_d(k3_finseq_1(A), 1), k1_matrix_0(A))), k7_xcmplx_0(1, 2)), k19_euclid(k5_numbers, 1))), k2_xboole_0(k4_subset_1(u1_struct_0(k15_euclid(2)), k1_tops_1(k15_euclid(2), k3_goboard5(A, k3_finseq_1(A), k1_matrix_0(A))), k1_tops_1(k15_euclid(2), k3_goboard5(A, k7_nat_d(k3_finseq_1(A), 1), k1_matrix_0(A)))), k1_tarski(k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A), k1_matrix_0(A)), k19_euclid(k5_numbers, 1)))))) ) ) ) ) ) ).
fof(t82_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  ( ( ~ (v3_relat_1(D))  &  (v1_matrix_0(D) &  (v1_goboard1(D) &  (v2_goboard1(D) &  (v3_goboard1(D) &  (v4_goboard1(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ~ ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(D)) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(k1_nat_1(B, 1), k1_matrix_0(D)) & r1_xboole_0(k1_rltopsp1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), D, A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), D, k1_nat_1(A, 1), k1_nat_1(B, 1))), k7_xcmplx_0(1, 2)), C), k1_tops_1(k15_euclid(2), k3_goboard5(D, A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t83_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ~ ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(C)) & r1_xboole_0(k1_rltopsp1(k15_euclid(2), B, k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, k1_matrix_0(C)), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), k1_matrix_0(C))), k7_xcmplx_0(1, 2)), k19_euclid(k5_numbers, 1))), k1_tops_1(k15_euclid(2), k3_goboard5(C, A, k1_matrix_0(C))))) ) ) ) ) ) ) ) ) ).
fof(t84_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ~ ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(C)) & r1_xboole_0(k1_rltopsp1(k15_euclid(2), k5_algstr_0(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), 1)), k7_xcmplx_0(1, 2)), k19_euclid(k5_numbers, 1)), B), k1_tops_1(k15_euclid(2), k3_goboard5(C, A, k5_numbers)))) ) ) ) ) ) ) ) ) ).
fof(t85_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ~ ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k1_matrix_0(C)) & r1_xboole_0(k1_rltopsp1(k15_euclid(2), k5_algstr_0(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, 1, A), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, 1, k1_nat_1(A, 1))), k7_xcmplx_0(1, 2)), k19_euclid(1, k5_numbers)), B), k1_tops_1(k15_euclid(2), k3_goboard5(C, k5_numbers, A)))) ) ) ) ) ) ) ) ) ).
fof(t86_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ~ ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k1_matrix_0(C)) & r1_xboole_0(k1_rltopsp1(k15_euclid(2), B, k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k3_finseq_1(C), A), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k3_finseq_1(C), k1_nat_1(A, 1))), k7_xcmplx_0(1, 2)), k19_euclid(1, k5_numbers))), k1_tops_1(k15_euclid(2), k3_goboard5(C, k3_finseq_1(C), A)))) ) ) ) ) ) ) ) ) ).
fof(t87_goboard6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ~ (r1_xboole_0(k1_rltopsp1(k15_euclid(2), A, k5_algstr_0(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, 1), k19_euclid(1, 1))), k1_tops_1(k15_euclid(2), k3_goboard5(B, k5_numbers, k5_numbers)))) ) ) ) ) ).
fof(t88_goboard6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ~ (r1_xboole_0(k1_rltopsp1(k15_euclid(2), A, k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B), k1_matrix_0(B)), k19_euclid(1, 1))), k1_tops_1(k15_euclid(2), k3_goboard5(B, k3_finseq_1(B), k1_matrix_0(B))))) ) ) ) ) ).
fof(t89_goboard6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ~ (r1_xboole_0(k1_rltopsp1(k15_euclid(2), A, k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, k1_matrix_0(B)), k19_euclid(k4_xcmplx_0(1), 1))), k1_tops_1(k15_euclid(2), k3_goboard5(B, k5_numbers, k1_matrix_0(B))))) ) ) ) ) ).
fof(t90_goboard6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ~ (r1_xboole_0(k1_rltopsp1(k15_euclid(2), A, k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B), 1), k19_euclid(1, k4_xcmplx_0(1)))), k1_tops_1(k15_euclid(2), k3_goboard5(B, k3_finseq_1(B), k5_numbers)))) ) ) ) ) ).
fof(t91_goboard6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_pcomps_1(A))) =>  (! [D] :  (v1_xreal_0(D) =>  (B=C =>  (r1_xxreal_0(D, k5_numbers) | m1_connsp_2(k8_metric_1(A, B, D), k3_pcomps_1(A), C)) ) ) ) ) ) ) ) ) ) ).
fof(t92_goboard6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, k2_pre_topc(k3_pcomps_1(A), B)) <=>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  & r1_xboole_0(k8_metric_1(A, C, D), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t93_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_euclid(A))) =>  (C=D =>  (! [E] :  (v1_xreal_0(E) =>  ( ~ (r1_xxreal_0(E, k5_numbers))  =>  (r2_tarski(C, k2_pre_topc(k15_euclid(A), B)) <=>  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(F, k5_numbers))  &  ( ~ (r1_xxreal_0(E, F))  & r1_xboole_0(k8_metric_1(k14_euclid(A), D, F), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_goboard6, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  => k1_tops_1(k15_euclid(2), k1_goboard5(A, k5_numbers))=a_1_0_goboard6(A)) ) ).
fof(t13_goboard6, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  => k1_tops_1(k15_euclid(2), k1_goboard5(A, k3_finseq_1(A)))=a_1_1_goboard6(A)) ) ).
fof(t14_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(k3_finseq_1(B), A) | k1_tops_1(k15_euclid(2), k1_goboard5(B, A))=a_2_0_goboard6(A, B)) ) ) ) ) ) ).
fof(t15_goboard6, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  => k1_tops_1(k15_euclid(2), k2_goboard5(A, k5_numbers))=a_1_2_goboard6(A)) ) ).
fof(t16_goboard6, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  => k1_tops_1(k15_euclid(2), k2_goboard5(A, k1_matrix_0(A)))=a_1_3_goboard6(A)) ) ).
fof(t17_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(k1_matrix_0(B), A) | k1_tops_1(k15_euclid(2), k2_goboard5(B, A))=a_2_1_goboard6(A, B)) ) ) ) ) ) ).
fof(t18_goboard6, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  => k1_tops_1(k15_euclid(2), k3_goboard5(A, k5_numbers, k5_numbers))=a_1_4_goboard6(A)) ) ).
fof(t19_goboard6, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  => k1_tops_1(k15_euclid(2), k3_goboard5(A, k5_numbers, k1_matrix_0(A)))=a_1_5_goboard6(A)) ) ).
fof(t20_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(k1_matrix_0(B), A) | k1_tops_1(k15_euclid(2), k3_goboard5(B, k5_numbers, A))=a_2_2_goboard6(A, B)) ) ) ) ) ) ).
fof(t21_goboard6, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  => k1_tops_1(k15_euclid(2), k3_goboard5(A, k3_finseq_1(A), k5_numbers))=a_1_6_goboard6(A)) ) ).
fof(t22_goboard6, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  => k1_tops_1(k15_euclid(2), k3_goboard5(A, k3_finseq_1(A), k1_matrix_0(A)))=a_1_7_goboard6(A)) ) ).
fof(t23_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(k1_matrix_0(B), A) | k1_tops_1(k15_euclid(2), k3_goboard5(B, k3_finseq_1(B), A))=a_2_3_goboard6(A, B)) ) ) ) ) ) ).
fof(t24_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(k3_finseq_1(B), A) | k1_tops_1(k15_euclid(2), k3_goboard5(B, A, k5_numbers))=a_2_4_goboard6(A, B)) ) ) ) ) ) ).
fof(t25_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(k3_finseq_1(B), A) | k1_tops_1(k15_euclid(2), k3_goboard5(B, A, k1_matrix_0(B)))=a_2_5_goboard6(A, B)) ) ) ) ) ) ).
fof(t26_goboard6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(1, B))  =>  (r1_xxreal_0(k3_finseq_1(C), A) |  (r1_xxreal_0(k1_matrix_0(C), B) | k1_tops_1(k15_euclid(2), k3_goboard5(C, A, B))=a_3_0_goboard6(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_goboard6, axiom,  (! [A, B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r2_hidden(A, a_1_0_goboard6(B)) <=>  (? [C, D] :  ( (v1_xreal_0(C) & v1_xreal_0(D))  &  (A=k19_euclid(C, D) &  ~ (r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, 1)), C)) ) ) ) ) ) ) ).
fof(fraenkel_a_1_1_goboard6, axiom,  (! [A, B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r2_hidden(A, a_1_1_goboard6(B)) <=>  (? [C, D] :  ( (v1_xreal_0(C) & v1_xreal_0(D))  &  (A=k19_euclid(C, D) &  ~ (r1_xxreal_0(C, k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B), 1)))) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_goboard6, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) &  ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) ) )  =>  (r2_hidden(A, a_2_0_goboard6(B, C)) <=>  (? [D, E] :  ( (v1_xreal_0(D) & v1_xreal_0(E))  &  (A=k19_euclid(D, E) &  ( ~ (r1_xxreal_0(D, k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, B, 1))))  &  ~ (r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(B, 1), 1)), D)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_2_goboard6, axiom,  (! [A, B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r2_hidden(A, a_1_2_goboard6(B)) <=>  (? [C, D] :  ( (v1_xreal_0(C) & v1_xreal_0(D))  &  (A=k19_euclid(C, D) &  ~ (r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, 1)), D)) ) ) ) ) ) ) ).
fof(fraenkel_a_1_3_goboard6, axiom,  (! [A, B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r2_hidden(A, a_1_3_goboard6(B)) <=>  (? [C, D] :  ( (v1_xreal_0(C) & v1_xreal_0(D))  &  (A=k19_euclid(C, D) &  ~ (r1_xxreal_0(D, k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, k1_matrix_0(B))))) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_goboard6, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) &  ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) ) )  =>  (r2_hidden(A, a_2_1_goboard6(B, C)) <=>  (? [D, E] :  ( (v1_xreal_0(D) & v1_xreal_0(E))  &  (A=k19_euclid(D, E) &  ( ~ (r1_xxreal_0(E, k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, 1, B))))  &  ~ (r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, 1, k1_nat_1(B, 1))), E)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_4_goboard6, axiom,  (! [A, B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r2_hidden(A, a_1_4_goboard6(B)) <=>  (? [C, D] :  ( (v1_xreal_0(C) & v1_xreal_0(D))  &  (A=k19_euclid(C, D) &  ( ~ (r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, 1)), C))  &  ~ (r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, 1)), D)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_5_goboard6, axiom,  (! [A, B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r2_hidden(A, a_1_5_goboard6(B)) <=>  (? [C, D] :  ( (v1_xreal_0(C) & v1_xreal_0(D))  &  (A=k19_euclid(C, D) &  ( ~ (r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, 1)), C))  &  ~ (r1_xxreal_0(D, k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, k1_matrix_0(B))))) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_2_goboard6, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) &  ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) ) )  =>  (r2_hidden(A, a_2_2_goboard6(B, C)) <=>  (? [D, E] :  ( (v1_xreal_0(D) & v1_xreal_0(E))  &  (A=k19_euclid(D, E) &  ( ~ (r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, 1, 1)), D))  &  ( ~ (r1_xxreal_0(E, k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, 1, B))))  &  ~ (r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, 1, k1_nat_1(B, 1))), E)) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_6_goboard6, axiom,  (! [A, B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r2_hidden(A, a_1_6_goboard6(B)) <=>  (? [C, D] :  ( (v1_xreal_0(C) & v1_xreal_0(D))  &  (A=k19_euclid(C, D) &  ( ~ (r1_xxreal_0(C, k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B), 1))))  &  ~ (r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, 1)), D)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_7_goboard6, axiom,  (! [A, B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r2_hidden(A, a_1_7_goboard6(B)) <=>  (? [C, D] :  ( (v1_xreal_0(C) & v1_xreal_0(D))  &  (A=k19_euclid(C, D) &  ( ~ (r1_xxreal_0(C, k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B), 1))))  &  ~ (r1_xxreal_0(D, k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, k1_matrix_0(B))))) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_3_goboard6, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) &  ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) ) )  =>  (r2_hidden(A, a_2_3_goboard6(B, C)) <=>  (? [D, E] :  ( (v1_xreal_0(D) & v1_xreal_0(E))  &  (A=k19_euclid(D, E) &  ( ~ (r1_xxreal_0(D, k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k3_finseq_1(C), 1))))  &  ( ~ (r1_xxreal_0(E, k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, 1, B))))  &  ~ (r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, 1, k1_nat_1(B, 1))), E)) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_4_goboard6, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) &  ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) ) )  =>  (r2_hidden(A, a_2_4_goboard6(B, C)) <=>  (? [D, E] :  ( (v1_xreal_0(D) & v1_xreal_0(E))  &  (A=k19_euclid(D, E) &  ( ~ (r1_xxreal_0(D, k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, B, 1))))  &  ( ~ (r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(B, 1), 1)), D))  &  ~ (r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, 1, 1)), E)) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_5_goboard6, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) &  ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) ) )  =>  (r2_hidden(A, a_2_5_goboard6(B, C)) <=>  (? [D, E] :  ( (v1_xreal_0(D) & v1_xreal_0(E))  &  (A=k19_euclid(D, E) &  ( ~ (r1_xxreal_0(D, k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, B, 1))))  &  ( ~ (r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(B, 1), 1)), D))  &  ~ (r1_xxreal_0(E, k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, 1, k1_matrix_0(C))))) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_goboard6, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(B) &  (v7_ordinal1(C) &  ( ~ (v3_relat_1(D))  &  (v1_matrix_0(D) &  (v1_goboard1(D) &  (v2_goboard1(D) &  (v3_goboard1(D) &  (v4_goboard1(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) ) ) )  =>  (r2_hidden(A, a_3_0_goboard6(B, C, D)) <=>  (? [E, F] :  ( (v1_xreal_0(E) & v1_xreal_0(F))  &  (A=k19_euclid(E, F) &  ( ~ (r1_xxreal_0(E, k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), D, B, 1))))  &  ( ~ (r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), D, k1_nat_1(B, 1), 1)), E))  &  ( ~ (r1_xxreal_0(F, k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), D, 1, C))))  &  ~ (r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), D, 1, k1_nat_1(C, 1))), F)) ) ) ) ) ) ) ) ) ) ).
fof(t1_goboard7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(k9_complex1(k6_xcmplx_0(B, C)), A))  &  (r1_xxreal_0(C, k2_xcmplx_0(B, A)) & r1_xxreal_0(B, k2_xcmplx_0(C, A))) ) ) ) ) ) ) ) ) ).
fof(t2_goboard7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (k9_complex1(k6_xcmplx_0(A, B))=k5_numbers <=> A=B) ) ) ) ) ).
fof(t3_goboard7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (k3_rlvect_1(k15_euclid(A), B, C)=k3_rlvect_1(k15_euclid(A), D, C) => B=D) ) ) ) ) ) ) ) ) ).
fof(t4_goboard7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (k3_rlvect_1(k15_euclid(A), C, B)=k3_rlvect_1(k15_euclid(A), C, D) => B=D) ) ) ) ) ) ) ) ) ).
fof(t5_goboard7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(C, k1_rltopsp1(k15_euclid(2), A, B)) & k17_euclid(A)=k17_euclid(B))  => k17_euclid(C)=k17_euclid(B)) ) ) ) ) ) ) ).
fof(t6_goboard7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(C, k1_rltopsp1(k15_euclid(2), A, B)) & k18_euclid(A)=k18_euclid(B))  => k18_euclid(C)=k18_euclid(B)) ) ) ) ) ) ) ).
fof(t7_goboard7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (k17_euclid(A)=k17_euclid(B) &  (k17_euclid(B)=k17_euclid(C) &  (r1_xxreal_0(k18_euclid(A), k18_euclid(B)) & r1_xxreal_0(k18_euclid(B), k18_euclid(C))) ) )  => r2_tarski(B, k1_rltopsp1(k15_euclid(2), A, C))) ) ) ) ) ) ) ).
fof(t8_goboard7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r1_xxreal_0(k17_euclid(A), k17_euclid(B)) &  (r1_xxreal_0(k17_euclid(B), k17_euclid(C)) &  (k18_euclid(A)=k18_euclid(B) & k18_euclid(B)=k18_euclid(C)) ) )  => r2_tarski(B, k1_rltopsp1(k15_euclid(2), A, C))) ) ) ) ) ) ) ).
fof(t9_goboard7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(C)) &  (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 1), k1_matrix_0(C))) ) )  => k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), k1_nat_1(B, 1))), k7_xcmplx_0(1, 2))=k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, k1_nat_1(B, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), B)), k7_xcmplx_0(1, 2))) ) ) ) ) ) ) ).
fof(t10_goboard7, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (v1_sppol_1(k2_topreal1(2, A, B)) &  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(k2_goboard2(A))) &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, k2_topreal1(2, A, B)) => k18_euclid(D)=k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_goboard7, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (v2_sppol_1(k2_topreal1(2, A, B)) &  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(k2_goboard2(A))) &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, k2_topreal1(2, A, B)) => k17_euclid(D)=k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), C, 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_goboard7, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (v1_topreal1(A) &  (r1_xxreal_0(B, k3_finseq_1(k2_goboard2(A))) & r1_xxreal_0(C, k1_matrix_0(k2_goboard2(A)))) )  => r1_xboole_0(k1_tops_1(k15_euclid(2), k3_goboard5(k2_goboard2(A), B, C)), k3_topreal1(2, A))) ) ) ) ) ) ) ).
fof(t13_goboard7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, k3_finseq_1(C)) &  (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 2), k1_matrix_0(C))) ) )  => k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, k1_nat_1(B, 1))), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, k1_nat_1(B, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, k1_nat_1(B, 2))))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, k1_nat_1(B, 1)))) ) ) ) ) ) ) ).
fof(t14_goboard7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 2), k3_finseq_1(C)) &  (r1_xxreal_0(1, B) & r1_xxreal_0(B, k1_matrix_0(C))) ) )  => k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), B)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), B), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 2), B)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), B))) ) ) ) ) ) ) ).
fof(t15_goboard7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(C)) &  (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 1), k1_matrix_0(C))) ) )  => k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, k1_nat_1(B, 1))), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, k1_nat_1(B, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), k1_nat_1(B, 1))))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, k1_nat_1(B, 1)))) ) ) ) ) ) ) ).
fof(t16_goboard7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(C)) &  (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 1), k1_matrix_0(C))) ) )  => k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, k1_nat_1(B, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), k1_nat_1(B, 1))), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), B), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), k1_nat_1(B, 1))))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), k1_nat_1(B, 1)))) ) ) ) ) ) ) ).
fof(t17_goboard7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(C)) &  (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 1), k1_matrix_0(C))) ) )  => k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), B)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, k1_nat_1(B, 1))))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, B))) ) ) ) ) ) ) ).
fof(t18_goboard7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(C)) &  (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 1), k1_matrix_0(C))) ) )  => k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), B)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), B), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), k1_nat_1(B, 1))))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), B))) ) ) ) ) ) ) ).
fof(t19_goboard7, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k3_finseq_1(A)) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k1_matrix_0(A)) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k3_finseq_1(A)) &  (r1_xxreal_0(1, E) & r1_xxreal_0(k1_nat_1(E, 1), k1_matrix_0(A))) ) ) ) ) ) )  =>  (r1_xboole_0(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, B, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, B, k1_nat_1(C, 1))), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, D, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, D, k1_nat_1(E, 1)))) |  (B=D & r1_xxreal_0(k1_int_2(k6_xcmplx_0(C, E)), 1)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_goboard7, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(k1_nat_1(B, 1), k3_finseq_1(A)) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(A)) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(k1_nat_1(D, 1), k3_finseq_1(A)) &  (r1_xxreal_0(1, E) & r1_xxreal_0(E, k1_matrix_0(A))) ) ) ) ) ) )  =>  (r1_xboole_0(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, B, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1), C)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, D, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k1_nat_1(D, 1), E))) |  (C=E & r1_xxreal_0(k1_int_2(k6_xcmplx_0(B, D)), 1)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_goboard7, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k3_finseq_1(A)) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k1_matrix_0(A)) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(k1_nat_1(D, 1), k3_finseq_1(A)) &  (r1_xxreal_0(1, E) & r1_xxreal_0(E, k1_matrix_0(A))) ) ) ) ) ) )  =>  (r1_xboole_0(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, B, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, B, k1_nat_1(C, 1))), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, D, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k1_nat_1(D, 1), E))) |  ( (B=D | B=k1_nat_1(D, 1))  &  (C=E | k1_nat_1(C, 1)=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_goboard7, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k3_finseq_1(A)) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k1_matrix_0(A)) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k3_finseq_1(A)) &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(k1_nat_1(E, 1), k1_matrix_0(A)) &  ( ~ (r1_xboole_0(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, B, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, B, k1_nat_1(C, 1))), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, D, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, D, k1_nat_1(E, 1)))))  &  ( ~ ( (C=E & k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, B, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, B, k1_nat_1(C, 1)))=k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, D, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, D, k1_nat_1(E, 1)))) )  &  ( ~ ( (C=k1_nat_1(E, 1) & k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, B, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, B, k1_nat_1(C, 1))), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, D, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, D, k1_nat_1(E, 1))))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), A, B, C))) )  &  ~ ( (k1_nat_1(C, 1)=E & k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, B, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, B, k1_nat_1(C, 1))), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, D, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, D, k1_nat_1(E, 1))))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), A, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_goboard7, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(k1_nat_1(B, 1), k3_finseq_1(A)) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(A)) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(k1_nat_1(D, 1), k3_finseq_1(A)) &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, k1_matrix_0(A)) &  ( ~ (r1_xboole_0(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, B, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1), C)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, D, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k1_nat_1(D, 1), E))))  &  ( ~ ( (B=D & k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, B, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1), C))=k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, D, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k1_nat_1(D, 1), E))) )  &  ( ~ ( (B=k1_nat_1(D, 1) & k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, B, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1), C)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, D, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k1_nat_1(D, 1), E)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), A, B, C))) )  &  ~ ( (k1_nat_1(B, 1)=D & k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, B, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1), C)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, D, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k1_nat_1(D, 1), E)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), A, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_goboard7, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k3_finseq_1(A)) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k1_matrix_0(A)) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(k1_nat_1(D, 1), k3_finseq_1(A)) &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, k1_matrix_0(A)) &  ( ~ (r1_xboole_0(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, B, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, B, k1_nat_1(C, 1))), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, D, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k1_nat_1(D, 1), E))))  &  ( ~ ( (C=E & k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, B, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, B, k1_nat_1(C, 1))), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, D, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k1_nat_1(D, 1), E)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), A, B, C))) )  &  ~ ( (k1_nat_1(C, 1)=E & k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, B, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, B, k1_nat_1(C, 1))), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, D, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k1_nat_1(D, 1), E)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), A, B, k1_nat_1(C, 1)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_goboard7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, k3_finseq_1(E)) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k1_matrix_0(E)) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k3_finseq_1(E)) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(k1_nat_1(D, 1), k1_matrix_0(E)) & r2_tarski(k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, k1_nat_1(C, 1))), k7_xcmplx_0(1, 2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), E, B, D), k3_matrix_0(u1_struct_0(k15_euclid(2)), E, B, k1_nat_1(D, 1))))) ) ) ) ) ) ) )  =>  (A=B & C=D) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_goboard7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(E)) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(E)) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(k1_nat_1(B, 1), k3_finseq_1(E)) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k1_matrix_0(E)) & r2_tarski(k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), E, k1_nat_1(A, 1), C)), k7_xcmplx_0(1, 2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), E, B, D), k3_matrix_0(u1_struct_0(k15_euclid(2)), E, k1_nat_1(B, 1), D)))) ) ) ) ) ) ) )  =>  (A=B & C=D) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_goboard7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(C)) &  (r1_xxreal_0(1, B) & r1_xxreal_0(B, k1_matrix_0(C))) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k3_finseq_1(C)) &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(k1_nat_1(E, 1), k1_matrix_0(C)) & r2_tarski(k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), B)), k7_xcmplx_0(1, 2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, D, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, D, k1_nat_1(E, 1))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_goboard7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, k3_finseq_1(C)) &  (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 1), k1_matrix_0(C))) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(k1_nat_1(D, 1), k3_finseq_1(C)) &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, k1_matrix_0(C)) & r2_tarski(k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, k1_nat_1(B, 1))), k7_xcmplx_0(1, 2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, D, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(D, 1), E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_goboard7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_goboard5(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2)))) )  =>  ~ ( (r2_tarski(A, k4_finseq_1(B)) &  (r2_tarski(k1_nat_1(A, 1), k4_finseq_1(B)) & k7_partfun1(u1_struct_0(k15_euclid(2)), B, A)=k7_partfun1(u1_struct_0(k15_euclid(2)), B, k1_nat_1(A, 1))) ) ) ) ) ) ) ).
fof(t30_goboard7, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (? [B] :  (v7_ordinal1(B) &  (r2_tarski(B, k4_finseq_1(A)) &  ~ (k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, B))=k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1))) ) ) ) ) ) ).
fof(t31_goboard7, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (? [B] :  (v7_ordinal1(B) &  (r2_tarski(B, k4_finseq_1(A)) &  ~ (k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, B))=k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1))) ) ) ) ) ) ).
fof(t32_goboard7, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ~ (r1_xxreal_0(k3_finseq_1(k2_goboard2(A)), 1)) ) ) ).
fof(t33_goboard7, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ~ (r1_xxreal_0(k1_matrix_0(k2_goboard2(A)), 1)) ) ) ).
fof(t34_goboard7, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ~ (r1_xxreal_0(k3_finseq_1(A), 4)) ) ) ).
fof(t35_goboard7, axiom,  (! [A] :  ( (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) )  =>  ( ~ (r1_xxreal_0(k3_finseq_1(A), 4))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, B) &  ( ~ (r1_xxreal_0(C, B))  &  ( ~ (r1_xxreal_0(k3_finseq_1(A), C))  & k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k7_partfun1(u1_struct_0(k15_euclid(2)), A, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_goboard7, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, B) &  ( ~ (r1_xxreal_0(C, B))  &  ( ~ (r1_xxreal_0(k3_finseq_1(A), C))  & k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k7_partfun1(u1_struct_0(k15_euclid(2)), A, C)) ) ) ) ) ) ) ) ) ) ).
fof(t37_goboard7, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(B, 1))  &  ( ~ (r1_xxreal_0(C, B))  &  (r1_xxreal_0(C, k3_finseq_1(A)) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k7_partfun1(u1_struct_0(k15_euclid(2)), A, C)) ) ) ) ) ) ) ) ) ) ).
fof(t38_goboard7, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(B, k3_finseq_1(A)) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1))  =>  (r1_xxreal_0(B, 1) | B=k3_finseq_1(A)) ) ) ) ) ) ).
fof(t39_goboard7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_funct_1(C))  &  ( ~ (v1_xboole_0(C))  &  (v1_finseq_6(C, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(C) &  (v2_topreal1(C) &  (v1_goboard5(C) &  (v2_goboard5(C) & m2_finseq_1(C, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ~ ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, k3_finseq_1(k2_goboard2(C))) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(k1_nat_1(B, 1), k1_matrix_0(k2_goboard2(C))) &  (r2_tarski(k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, k1_nat_1(B, 1))), k7_xcmplx_0(1, 2)), k3_topreal1(2, C)) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(k1_nat_1(D, 1), k3_finseq_1(C)) & k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, k1_nat_1(B, 1)))=k2_topreal1(2, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_goboard7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_funct_1(C))  &  ( ~ (v1_xboole_0(C))  &  (v1_finseq_6(C, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(C) &  (v2_topreal1(C) &  (v1_goboard5(C) &  (v2_goboard5(C) & m2_finseq_1(C, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ~ ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(k2_goboard2(C))) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k1_matrix_0(k2_goboard2(C))) &  (r2_tarski(k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), B)), k7_xcmplx_0(1, 2)), k3_topreal1(2, C)) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(k1_nat_1(D, 1), k3_finseq_1(C)) & k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), B))=k2_topreal1(2, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_goboard7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v3_funct_1(D))  &  ( ~ (v1_xboole_0(D))  &  (v1_finseq_6(D, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(D) &  (v2_topreal1(D) &  (v1_goboard5(D) &  (v2_goboard5(D) & m2_finseq_1(D, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(k2_goboard2(D))) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(k1_nat_1(B, 1), k1_matrix_0(k2_goboard2(D))) &  (r1_xxreal_0(1, C) &  (k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, k1_nat_1(B, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), k1_nat_1(B, 1)))=k2_topreal1(2, D, C) & k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), k1_nat_1(B, 1)))=k2_topreal1(2, D, k1_nat_1(C, 1))) ) ) ) ) )  =>  (r1_xxreal_0(k3_finseq_1(D), k1_nat_1(C, 1)) |  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, k1_nat_1(B, 1)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), k1_nat_1(B, 1)) & k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_goboard7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v3_funct_1(D))  &  ( ~ (v1_xboole_0(D))  &  (v1_finseq_6(D, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(D) &  (v2_topreal1(D) &  (v1_goboard5(D) &  (v2_goboard5(D) & m2_finseq_1(D, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, k3_finseq_1(k2_goboard2(D))) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(1, C) &  (k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, k1_nat_1(B, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, k1_nat_1(B, 2)))=k2_topreal1(2, D, C) & k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, k1_nat_1(B, 1)))=k2_topreal1(2, D, k1_nat_1(C, 1))) ) ) ) )  =>  (r1_xxreal_0(k1_matrix_0(k2_goboard2(D)), k1_nat_1(B, 1)) |  (r1_xxreal_0(k3_finseq_1(D), k1_nat_1(C, 1)) |  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, k1_nat_1(B, 2)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, k1_nat_1(B, 1)) & k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_goboard7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v3_funct_1(D))  &  ( ~ (v1_xboole_0(D))  &  (v1_finseq_6(D, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(D) &  (v2_topreal1(D) &  (v1_goboard5(D) &  (v2_goboard5(D) & m2_finseq_1(D, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(k2_goboard2(D))) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(k1_nat_1(B, 1), k1_matrix_0(k2_goboard2(D))) &  (r1_xxreal_0(1, C) &  (k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, k1_nat_1(B, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), k1_nat_1(B, 1)))=k2_topreal1(2, D, C) & k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, k1_nat_1(B, 1)))=k2_topreal1(2, D, k1_nat_1(C, 1))) ) ) ) ) )  =>  (r1_xxreal_0(k3_finseq_1(D), k1_nat_1(C, 1)) |  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), k1_nat_1(B, 1)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, k1_nat_1(B, 1)) & k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_goboard7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v3_funct_1(D))  &  ( ~ (v1_xboole_0(D))  &  (v1_finseq_6(D, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(D) &  (v2_topreal1(D) &  (v1_goboard5(D) &  (v2_goboard5(D) & m2_finseq_1(D, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(k2_goboard2(D))) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(k1_nat_1(B, 1), k1_matrix_0(k2_goboard2(D))) &  (r1_xxreal_0(1, C) &  (k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), k1_nat_1(B, 1)))=k2_topreal1(2, D, C) & k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, k1_nat_1(B, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), k1_nat_1(B, 1)))=k2_topreal1(2, D, k1_nat_1(C, 1))) ) ) ) ) )  =>  (r1_xxreal_0(k3_finseq_1(D), k1_nat_1(C, 1)) |  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), B) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), k1_nat_1(B, 1)) & k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, k1_nat_1(B, 1))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_goboard7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v3_funct_1(D))  &  ( ~ (v1_xboole_0(D))  &  (v1_finseq_6(D, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(D) &  (v2_topreal1(D) &  (v1_goboard5(D) &  (v2_goboard5(D) & m2_finseq_1(D, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k1_matrix_0(k2_goboard2(D))) &  (r1_xxreal_0(1, C) &  (k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 2), B))=k2_topreal1(2, D, C) & k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), B))=k2_topreal1(2, D, k1_nat_1(C, 1))) ) ) ) )  =>  (r1_xxreal_0(k3_finseq_1(k2_goboard2(D)), k1_nat_1(A, 1)) |  (r1_xxreal_0(k3_finseq_1(D), k1_nat_1(C, 1)) |  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 2), B) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), B) & k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_goboard7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v3_funct_1(D))  &  ( ~ (v1_xboole_0(D))  &  (v1_finseq_6(D, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(D) &  (v2_topreal1(D) &  (v1_goboard5(D) &  (v2_goboard5(D) & m2_finseq_1(D, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(k2_goboard2(D))) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(k1_nat_1(B, 1), k1_matrix_0(k2_goboard2(D))) &  (r1_xxreal_0(1, C) &  (k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), k1_nat_1(B, 1)))=k2_topreal1(2, D, C) & k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), B))=k2_topreal1(2, D, k1_nat_1(C, 1))) ) ) ) ) )  =>  (r1_xxreal_0(k3_finseq_1(D), k1_nat_1(C, 1)) |  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), k1_nat_1(B, 1)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), B) & k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_goboard7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v3_funct_1(D))  &  ( ~ (v1_xboole_0(D))  &  (v1_finseq_6(D, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(D) &  (v2_topreal1(D) &  (v1_goboard5(D) &  (v2_goboard5(D) & m2_finseq_1(D, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(k2_goboard2(D))) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(k1_nat_1(B, 1), k1_matrix_0(k2_goboard2(D))) &  (r1_xxreal_0(1, C) &  (k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), k1_nat_1(B, 1)))=k2_topreal1(2, D, C) & k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, k1_nat_1(B, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), k1_nat_1(B, 1)))=k2_topreal1(2, D, k1_nat_1(C, 1))) ) ) ) ) )  =>  (r1_xxreal_0(k3_finseq_1(D), k1_nat_1(C, 1)) |  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), B) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), k1_nat_1(B, 1)) & k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, k1_nat_1(B, 1))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_goboard7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v3_funct_1(D))  &  ( ~ (v1_xboole_0(D))  &  (v1_finseq_6(D, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(D) &  (v2_topreal1(D) &  (v1_goboard5(D) &  (v2_goboard5(D) & m2_finseq_1(D, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, k3_finseq_1(k2_goboard2(D))) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(1, C) &  (k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, k1_nat_1(B, 1)))=k2_topreal1(2, D, C) & k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, k1_nat_1(B, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, k1_nat_1(B, 2)))=k2_topreal1(2, D, k1_nat_1(C, 1))) ) ) ) )  =>  (r1_xxreal_0(k1_matrix_0(k2_goboard2(D)), k1_nat_1(B, 1)) |  (r1_xxreal_0(k3_finseq_1(D), k1_nat_1(C, 1)) |  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, B) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, k1_nat_1(B, 1)) & k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, k1_nat_1(B, 2))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_goboard7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v3_funct_1(D))  &  ( ~ (v1_xboole_0(D))  &  (v1_finseq_6(D, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(D) &  (v2_topreal1(D) &  (v1_goboard5(D) &  (v2_goboard5(D) & m2_finseq_1(D, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(k2_goboard2(D))) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(k1_nat_1(B, 1), k1_matrix_0(k2_goboard2(D))) &  (r1_xxreal_0(1, C) &  (k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, k1_nat_1(B, 1)))=k2_topreal1(2, D, C) & k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, k1_nat_1(B, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), k1_nat_1(B, 1)))=k2_topreal1(2, D, k1_nat_1(C, 1))) ) ) ) ) )  =>  (r1_xxreal_0(k3_finseq_1(D), k1_nat_1(C, 1)) |  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, B) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, k1_nat_1(B, 1)) & k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), k1_nat_1(B, 1))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_goboard7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v3_funct_1(D))  &  ( ~ (v1_xboole_0(D))  &  (v1_finseq_6(D, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(D) &  (v2_topreal1(D) &  (v1_goboard5(D) &  (v2_goboard5(D) & m2_finseq_1(D, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(k2_goboard2(D))) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(k1_nat_1(B, 1), k1_matrix_0(k2_goboard2(D))) &  (r1_xxreal_0(1, C) &  (k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, k1_nat_1(B, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), k1_nat_1(B, 1)))=k2_topreal1(2, D, C) & k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), k1_nat_1(B, 1)))=k2_topreal1(2, D, k1_nat_1(C, 1))) ) ) ) ) )  =>  (r1_xxreal_0(k3_finseq_1(D), k1_nat_1(C, 1)) |  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, k1_nat_1(B, 1)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), k1_nat_1(B, 1)) & k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_goboard7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v3_funct_1(D))  &  ( ~ (v1_xboole_0(D))  &  (v1_finseq_6(D, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(D) &  (v2_topreal1(D) &  (v1_goboard5(D) &  (v2_goboard5(D) & m2_finseq_1(D, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k1_matrix_0(k2_goboard2(D))) &  (r1_xxreal_0(1, C) &  (k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), B))=k2_topreal1(2, D, C) & k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 2), B))=k2_topreal1(2, D, k1_nat_1(C, 1))) ) ) ) )  =>  (r1_xxreal_0(k3_finseq_1(k2_goboard2(D)), k1_nat_1(A, 1)) |  (r1_xxreal_0(k3_finseq_1(D), k1_nat_1(C, 1)) |  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, B) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), B) & k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 2), B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_goboard7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v3_funct_1(D))  &  ( ~ (v1_xboole_0(D))  &  (v1_finseq_6(D, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(D) &  (v2_topreal1(D) &  (v1_goboard5(D) &  (v2_goboard5(D) & m2_finseq_1(D, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(k2_goboard2(D))) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(k1_nat_1(B, 1), k1_matrix_0(k2_goboard2(D))) &  (r1_xxreal_0(1, C) &  (k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), B))=k2_topreal1(2, D, C) & k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), k1_nat_1(B, 1)))=k2_topreal1(2, D, k1_nat_1(C, 1))) ) ) ) ) )  =>  (r1_xxreal_0(k3_finseq_1(D), k1_nat_1(C, 1)) |  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), A, B) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), B) & k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(D), k1_nat_1(A, 1), k1_nat_1(B, 1))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_goboard7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_funct_1(C))  &  ( ~ (v1_xboole_0(C))  &  (v1_finseq_6(C, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(C) &  (v2_topreal1(C) &  (v1_goboard5(C) &  (v2_goboard5(C) & m2_finseq_1(C, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ~ ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, k3_finseq_1(k2_goboard2(C))) &  (r1_xxreal_0(1, B) &  ( ~ (r1_xxreal_0(k1_matrix_0(k2_goboard2(C)), k1_nat_1(B, 1)))  &  (r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, k1_nat_1(B, 1))), k3_topreal1(2, C)) &  (r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, k1_nat_1(B, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, k1_nat_1(B, 2))), k3_topreal1(2, C)) &  ( ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), C, 1)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, k1_nat_1(B, 1)) &  ( (k7_partfun1(u1_struct_0(k15_euclid(2)), C, 2)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, B) & k7_partfun1(u1_struct_0(k15_euclid(2)), C, k7_nat_d(k3_finseq_1(C), 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, k1_nat_1(B, 2)))  |  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, 2)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, k1_nat_1(B, 2)) & k7_partfun1(u1_struct_0(k15_euclid(2)), C, k7_nat_d(k3_finseq_1(C), 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, B)) ) ) )  &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(1, D) &  ( ~ (r1_xxreal_0(k3_finseq_1(C), k1_nat_1(D, 1)))  &  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, k1_nat_1(D, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, k1_nat_1(B, 1)) &  ( (k7_partfun1(u1_struct_0(k15_euclid(2)), C, D)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, B) & k7_partfun1(u1_struct_0(k15_euclid(2)), C, k1_nat_1(D, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, k1_nat_1(B, 2)))  |  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, D)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, k1_nat_1(B, 2)) & k7_partfun1(u1_struct_0(k15_euclid(2)), C, k1_nat_1(D, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_goboard7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_funct_1(C))  &  ( ~ (v1_xboole_0(C))  &  (v1_finseq_6(C, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(C) &  (v2_topreal1(C) &  (v1_goboard5(C) &  (v2_goboard5(C) & m2_finseq_1(C, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ~ ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(k2_goboard2(C))) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(k1_nat_1(B, 1), k1_matrix_0(k2_goboard2(C))) &  (r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, k1_nat_1(B, 1))), k3_topreal1(2, C)) &  (r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, k1_nat_1(B, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), k1_nat_1(B, 1))), k3_topreal1(2, C)) &  ( ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), C, 1)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, k1_nat_1(B, 1)) &  ( (k7_partfun1(u1_struct_0(k15_euclid(2)), C, 2)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, B) & k7_partfun1(u1_struct_0(k15_euclid(2)), C, k7_nat_d(k3_finseq_1(C), 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), k1_nat_1(B, 1)))  |  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, 2)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), k1_nat_1(B, 1)) & k7_partfun1(u1_struct_0(k15_euclid(2)), C, k7_nat_d(k3_finseq_1(C), 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, B)) ) ) )  &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(1, D) &  ( ~ (r1_xxreal_0(k3_finseq_1(C), k1_nat_1(D, 1)))  &  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, k1_nat_1(D, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, k1_nat_1(B, 1)) &  ( (k7_partfun1(u1_struct_0(k15_euclid(2)), C, D)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, B) & k7_partfun1(u1_struct_0(k15_euclid(2)), C, k1_nat_1(D, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), k1_nat_1(B, 1)))  |  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, D)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), k1_nat_1(B, 1)) & k7_partfun1(u1_struct_0(k15_euclid(2)), C, k1_nat_1(D, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_goboard7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_funct_1(C))  &  ( ~ (v1_xboole_0(C))  &  (v1_finseq_6(C, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(C) &  (v2_topreal1(C) &  (v1_goboard5(C) &  (v2_goboard5(C) & m2_finseq_1(C, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ~ ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(k2_goboard2(C))) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(k1_nat_1(B, 1), k1_matrix_0(k2_goboard2(C))) &  (r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, k1_nat_1(B, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), k1_nat_1(B, 1))), k3_topreal1(2, C)) &  (r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), k1_nat_1(B, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), B)), k3_topreal1(2, C)) &  ( ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), C, 1)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), k1_nat_1(B, 1)) &  ( (k7_partfun1(u1_struct_0(k15_euclid(2)), C, 2)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, k1_nat_1(B, 1)) & k7_partfun1(u1_struct_0(k15_euclid(2)), C, k7_nat_d(k3_finseq_1(C), 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), B))  |  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, 2)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), B) & k7_partfun1(u1_struct_0(k15_euclid(2)), C, k7_nat_d(k3_finseq_1(C), 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, k1_nat_1(B, 1))) ) ) )  &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(1, D) &  ( ~ (r1_xxreal_0(k3_finseq_1(C), k1_nat_1(D, 1)))  &  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, k1_nat_1(D, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), k1_nat_1(B, 1)) &  ( (k7_partfun1(u1_struct_0(k15_euclid(2)), C, D)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, k1_nat_1(B, 1)) & k7_partfun1(u1_struct_0(k15_euclid(2)), C, k1_nat_1(D, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), B))  |  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, D)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), B) & k7_partfun1(u1_struct_0(k15_euclid(2)), C, k1_nat_1(D, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, k1_nat_1(B, 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_goboard7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_funct_1(C))  &  ( ~ (v1_xboole_0(C))  &  (v1_finseq_6(C, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(C) &  (v2_topreal1(C) &  (v1_goboard5(C) &  (v2_goboard5(C) & m2_finseq_1(C, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ~ ( (r1_xxreal_0(1, A) &  ( ~ (r1_xxreal_0(k3_finseq_1(k2_goboard2(C)), k1_nat_1(A, 1)))  &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k1_matrix_0(k2_goboard2(C))) &  (r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), B)), k3_topreal1(2, C)) &  (r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 2), B)), k3_topreal1(2, C)) &  ( ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), C, 1)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), B) &  ( (k7_partfun1(u1_struct_0(k15_euclid(2)), C, 2)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, B) & k7_partfun1(u1_struct_0(k15_euclid(2)), C, k7_nat_d(k3_finseq_1(C), 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 2), B))  |  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, 2)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 2), B) & k7_partfun1(u1_struct_0(k15_euclid(2)), C, k7_nat_d(k3_finseq_1(C), 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, B)) ) ) )  &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(1, D) &  ( ~ (r1_xxreal_0(k3_finseq_1(C), k1_nat_1(D, 1)))  &  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, k1_nat_1(D, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), B) &  ( (k7_partfun1(u1_struct_0(k15_euclid(2)), C, D)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, B) & k7_partfun1(u1_struct_0(k15_euclid(2)), C, k1_nat_1(D, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 2), B))  |  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, D)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 2), B) & k7_partfun1(u1_struct_0(k15_euclid(2)), C, k1_nat_1(D, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_goboard7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_funct_1(C))  &  ( ~ (v1_xboole_0(C))  &  (v1_finseq_6(C, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(C) &  (v2_topreal1(C) &  (v1_goboard5(C) &  (v2_goboard5(C) & m2_finseq_1(C, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ~ ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(k2_goboard2(C))) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(k1_nat_1(B, 1), k1_matrix_0(k2_goboard2(C))) &  (r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), B)), k3_topreal1(2, C)) &  (r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), k1_nat_1(B, 1))), k3_topreal1(2, C)) &  ( ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), C, 1)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), B) &  ( (k7_partfun1(u1_struct_0(k15_euclid(2)), C, 2)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, B) & k7_partfun1(u1_struct_0(k15_euclid(2)), C, k7_nat_d(k3_finseq_1(C), 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), k1_nat_1(B, 1)))  |  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, 2)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), k1_nat_1(B, 1)) & k7_partfun1(u1_struct_0(k15_euclid(2)), C, k7_nat_d(k3_finseq_1(C), 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, B)) ) ) )  &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(1, D) &  ( ~ (r1_xxreal_0(k3_finseq_1(C), k1_nat_1(D, 1)))  &  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, k1_nat_1(D, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), B) &  ( (k7_partfun1(u1_struct_0(k15_euclid(2)), C, D)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, B) & k7_partfun1(u1_struct_0(k15_euclid(2)), C, k1_nat_1(D, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), k1_nat_1(B, 1)))  |  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, D)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), k1_nat_1(B, 1)) & k7_partfun1(u1_struct_0(k15_euclid(2)), C, k1_nat_1(D, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_goboard7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_funct_1(C))  &  ( ~ (v1_xboole_0(C))  &  (v1_finseq_6(C, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(C) &  (v2_topreal1(C) &  (v1_goboard5(C) &  (v2_goboard5(C) & m2_finseq_1(C, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ~ ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(k2_goboard2(C))) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(k1_nat_1(B, 1), k1_matrix_0(k2_goboard2(C))) &  (r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), k1_nat_1(B, 1))), k3_topreal1(2, C)) &  (r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), k1_nat_1(B, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, k1_nat_1(B, 1))), k3_topreal1(2, C)) &  ( ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), C, 1)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), k1_nat_1(B, 1)) &  ( (k7_partfun1(u1_struct_0(k15_euclid(2)), C, 2)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), B) & k7_partfun1(u1_struct_0(k15_euclid(2)), C, k7_nat_d(k3_finseq_1(C), 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, k1_nat_1(B, 1)))  |  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, 2)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, k1_nat_1(B, 1)) & k7_partfun1(u1_struct_0(k15_euclid(2)), C, k7_nat_d(k3_finseq_1(C), 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), B)) ) ) )  &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(1, D) &  ( ~ (r1_xxreal_0(k3_finseq_1(C), k1_nat_1(D, 1)))  &  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, k1_nat_1(D, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), k1_nat_1(B, 1)) &  ( (k7_partfun1(u1_struct_0(k15_euclid(2)), C, D)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), B) & k7_partfun1(u1_struct_0(k15_euclid(2)), C, k1_nat_1(D, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, k1_nat_1(B, 1)))  |  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, D)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, k1_nat_1(B, 1)) & k7_partfun1(u1_struct_0(k15_euclid(2)), C, k1_nat_1(D, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_goboard7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_funct_1(C))  &  ( ~ (v1_xboole_0(C))  &  (v1_finseq_6(C, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(C) &  (v2_topreal1(C) &  (v1_goboard5(C) &  (v2_goboard5(C) & m2_finseq_1(C, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ~ ( (r1_xxreal_0(1, A) &  ( ~ (r1_xxreal_0(k3_finseq_1(k2_goboard2(C)), A))  &  (r1_xxreal_0(1, B) &  ( ~ (r1_xxreal_0(k1_matrix_0(k2_goboard2(C)), k1_nat_1(B, 1)))  &  (r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, k1_nat_1(B, 1))), k3_topreal1(2, C)) &  (r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, k1_nat_1(B, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, k1_nat_1(B, 2))), k3_topreal1(2, C)) & r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, k1_nat_1(B, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), k1_nat_1(B, 1))), k3_topreal1(2, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_goboard7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_funct_1(C))  &  ( ~ (v1_xboole_0(C))  &  (v1_finseq_6(C, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(C) &  (v2_topreal1(C) &  (v1_goboard5(C) &  (v2_goboard5(C) & m2_finseq_1(C, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ~ ( (r1_xxreal_0(1, A) &  ( ~ (r1_xxreal_0(k3_finseq_1(k2_goboard2(C)), A))  &  (r1_xxreal_0(1, B) &  ( ~ (r1_xxreal_0(k1_matrix_0(k2_goboard2(C)), k1_nat_1(B, 1)))  &  (r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), k1_nat_1(B, 1))), k3_topreal1(2, C)) &  (r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), k1_nat_1(B, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), k1_nat_1(B, 2))), k3_topreal1(2, C)) & r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, k1_nat_1(B, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), k1_nat_1(B, 1))), k3_topreal1(2, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_goboard7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_funct_1(C))  &  ( ~ (v1_xboole_0(C))  &  (v1_finseq_6(C, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(C) &  (v2_topreal1(C) &  (v1_goboard5(C) &  (v2_goboard5(C) & m2_finseq_1(C, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ~ ( (r1_xxreal_0(1, B) &  ( ~ (r1_xxreal_0(k1_matrix_0(k2_goboard2(C)), B))  &  (r1_xxreal_0(1, A) &  ( ~ (r1_xxreal_0(k3_finseq_1(k2_goboard2(C)), k1_nat_1(A, 1)))  &  (r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), B)), k3_topreal1(2, C)) &  (r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 2), B)), k3_topreal1(2, C)) & r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), k1_nat_1(B, 1))), k3_topreal1(2, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_goboard7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_funct_1(C))  &  ( ~ (v1_xboole_0(C))  &  (v1_finseq_6(C, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(C) &  (v2_topreal1(C) &  (v1_goboard5(C) &  (v2_goboard5(C) & m2_finseq_1(C, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ~ ( (r1_xxreal_0(1, B) &  ( ~ (r1_xxreal_0(k1_matrix_0(k2_goboard2(C)), B))  &  (r1_xxreal_0(1, A) &  ( ~ (r1_xxreal_0(k3_finseq_1(k2_goboard2(C)), k1_nat_1(A, 1)))  &  (r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), A, k1_nat_1(B, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), k1_nat_1(B, 1))), k3_topreal1(2, C)) &  (r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), k1_nat_1(B, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 2), k1_nat_1(B, 1))), k3_topreal1(2, C)) & r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(C), k1_nat_1(A, 1), k1_nat_1(B, 1))), k3_topreal1(2, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_goboard7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (v2_sppol_1(k1_rltopsp1(k15_euclid(2), A, B)) &  (v2_sppol_1(k1_rltopsp1(k15_euclid(2), C, D)) &  (k17_euclid(A)=k17_euclid(C) &  (r1_xxreal_0(k18_euclid(A), k18_euclid(C)) &  (r1_xxreal_0(k18_euclid(C), k18_euclid(D)) & r1_xxreal_0(k18_euclid(D), k18_euclid(B))) ) ) ) )  => r1_tarski(k1_rltopsp1(k15_euclid(2), C, D), k1_rltopsp1(k15_euclid(2), A, B))) ) ) ) ) ) ) ) ) ).
fof(t64_goboard7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (v1_sppol_1(k1_rltopsp1(k15_euclid(2), A, B)) &  (v1_sppol_1(k1_rltopsp1(k15_euclid(2), C, D)) &  (k18_euclid(A)=k18_euclid(C) &  (r1_xxreal_0(k17_euclid(A), k17_euclid(C)) &  (r1_xxreal_0(k17_euclid(C), k17_euclid(D)) & r1_xxreal_0(k17_euclid(D), k17_euclid(B))) ) ) ) )  => r1_tarski(k1_rltopsp1(k15_euclid(2), C, D), k1_rltopsp1(k15_euclid(2), A, B))) ) ) ) ) ) ) ) ) ).
fof(t1_goboard8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 2), k3_finseq_1(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(k2_goboard2(A))) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(k1_nat_1(D, 2), k1_matrix_0(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), k1_nat_1(D, 1))) ) ) )  =>  ( ( ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), D) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), k1_nat_1(D, 2))) )  &  ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), D) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), k1_nat_1(D, 2))) ) )  | r1_xboole_0(k1_rltopsp1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), C, D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), k1_nat_1(D, 1))), k7_xcmplx_0(1, 2)), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), C, k1_nat_1(D, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), k1_nat_1(D, 2))), k7_xcmplx_0(1, 2))), k3_topreal1(2, A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_goboard8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 2), k3_finseq_1(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 2), k3_finseq_1(k2_goboard2(A))) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(k1_nat_1(D, 2), k1_matrix_0(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), k1_nat_1(D, 1))) ) ) )  =>  ( ( ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 2), k1_nat_1(D, 1)) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), k1_nat_1(D, 2))) )  &  ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 2), k1_nat_1(D, 1)) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), k1_nat_1(D, 2))) ) )  | r1_xboole_0(k1_rltopsp1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), C, D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), k1_nat_1(D, 1))), k7_xcmplx_0(1, 2)), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), C, k1_nat_1(D, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), k1_nat_1(D, 2))), k7_xcmplx_0(1, 2))), k3_topreal1(2, A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_goboard8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 2), k3_finseq_1(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 2), k3_finseq_1(k2_goboard2(A))) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(k1_nat_1(D, 2), k1_matrix_0(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), k1_nat_1(D, 1))) ) ) )  =>  ( ( ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 2), k1_nat_1(D, 1)) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), D)) )  &  ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 2), k1_nat_1(D, 1)) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), D)) ) )  | r1_xboole_0(k1_rltopsp1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), C, D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), k1_nat_1(D, 1))), k7_xcmplx_0(1, 2)), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), C, k1_nat_1(D, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), k1_nat_1(D, 2))), k7_xcmplx_0(1, 2))), k3_topreal1(2, A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_goboard8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 2), k3_finseq_1(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(k2_goboard2(A))) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(k1_nat_1(D, 2), k1_matrix_0(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), C, k1_nat_1(D, 1))) ) ) )  =>  ( ( ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), C, D) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), C, k1_nat_1(D, 2))) )  &  ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), C, D) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), C, k1_nat_1(D, 2))) ) )  | r1_xboole_0(k1_rltopsp1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), C, D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), k1_nat_1(D, 1))), k7_xcmplx_0(1, 2)), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), C, k1_nat_1(D, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), k1_nat_1(D, 2))), k7_xcmplx_0(1, 2))), k3_topreal1(2, A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_goboard8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 2), k3_finseq_1(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 2), k3_finseq_1(k2_goboard2(A))) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(k1_nat_1(D, 2), k1_matrix_0(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), k1_nat_1(D, 1))) ) ) )  =>  ( ( ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), C, k1_nat_1(D, 1)) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), k1_nat_1(D, 2))) )  &  ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), C, k1_nat_1(D, 1)) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), k1_nat_1(D, 2))) ) )  | r1_xboole_0(k1_rltopsp1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 2), k1_nat_1(D, 1))), k7_xcmplx_0(1, 2)), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), k1_nat_1(D, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 2), k1_nat_1(D, 2))), k7_xcmplx_0(1, 2))), k3_topreal1(2, A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_goboard8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 2), k3_finseq_1(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 2), k3_finseq_1(k2_goboard2(A))) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(k1_nat_1(D, 2), k1_matrix_0(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), k1_nat_1(D, 1))) ) ) )  =>  ( ( ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), C, k1_nat_1(D, 1)) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), D)) )  &  ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), C, k1_nat_1(D, 1)) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), D)) ) )  | r1_xboole_0(k1_rltopsp1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 2), k1_nat_1(D, 1))), k7_xcmplx_0(1, 2)), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), k1_nat_1(D, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 2), k1_nat_1(D, 2))), k7_xcmplx_0(1, 2))), k3_topreal1(2, A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_goboard8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 2), k3_finseq_1(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 2), k3_finseq_1(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), 1)) )  =>  ( ( ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 2), 1) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), 2)) )  &  ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 2), 1) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), 2)) ) )  | r1_xboole_0(k1_rltopsp1(k15_euclid(2), k5_algstr_0(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), C, 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), 1)), k7_xcmplx_0(1, 2)), k19_euclid(k5_numbers, 1)), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), C, 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), 2)), k7_xcmplx_0(1, 2))), k3_topreal1(2, A))) ) ) ) ) ) ) ) ) ).
fof(t8_goboard8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 2), k3_finseq_1(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 2), k3_finseq_1(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), 1)) )  =>  ( ( ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), C, 1) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), 2)) )  &  ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), C, 1) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), 2)) ) )  | r1_xboole_0(k1_rltopsp1(k15_euclid(2), k5_algstr_0(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 2), 1)), k7_xcmplx_0(1, 2)), k19_euclid(k5_numbers, 1)), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 2), 2)), k7_xcmplx_0(1, 2))), k3_topreal1(2, A))) ) ) ) ) ) ) ) ) ).
fof(t9_goboard8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 2), k3_finseq_1(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 2), k3_finseq_1(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), k1_matrix_0(k2_goboard2(A)))) )  =>  ( ( ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 2), k1_matrix_0(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), k7_nat_d(k1_matrix_0(k2_goboard2(A)), 1))) )  &  ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 2), k1_matrix_0(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), k7_nat_d(k1_matrix_0(k2_goboard2(A)), 1))) ) )  | r1_xboole_0(k1_rltopsp1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), C, k7_nat_d(k1_matrix_0(k2_goboard2(A)), 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), k1_matrix_0(k2_goboard2(A)))), k7_xcmplx_0(1, 2)), k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), C, k1_matrix_0(k2_goboard2(A))), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), k1_matrix_0(k2_goboard2(A)))), k7_xcmplx_0(1, 2)), k19_euclid(k5_numbers, 1))), k3_topreal1(2, A))) ) ) ) ) ) ) ) ) ).
fof(t10_goboard8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 2), k3_finseq_1(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 2), k3_finseq_1(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), k1_matrix_0(k2_goboard2(A)))) )  =>  ( ( ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), C, k1_matrix_0(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), k7_nat_d(k1_matrix_0(k2_goboard2(A)), 1))) )  &  ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), C, k1_matrix_0(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), k7_nat_d(k1_matrix_0(k2_goboard2(A)), 1))) ) )  | r1_xboole_0(k1_rltopsp1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), k7_nat_d(k1_matrix_0(k2_goboard2(A)), 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 2), k1_matrix_0(k2_goboard2(A)))), k7_xcmplx_0(1, 2)), k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), k1_matrix_0(k2_goboard2(A))), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 2), k1_matrix_0(k2_goboard2(A)))), k7_xcmplx_0(1, 2)), k19_euclid(k5_numbers, 1))), k3_topreal1(2, A))) ) ) ) ) ) ) ) ) ).
fof(t11_goboard8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 2), k3_finseq_1(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(k1_nat_1(D, 1), k1_matrix_0(k2_goboard2(A))) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 2), k3_finseq_1(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), k1_nat_1(D, 1))) ) ) )  =>  ( ( ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), C, k1_nat_1(D, 1)) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 2), k1_nat_1(D, 1))) )  &  ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), C, k1_nat_1(D, 1)) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 2), k1_nat_1(D, 1))) ) )  | r1_xboole_0(k1_rltopsp1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), C, D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), k1_nat_1(D, 1))), k7_xcmplx_0(1, 2)), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 1), D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(C, 2), k1_nat_1(D, 1))), k7_xcmplx_0(1, 2))), k3_topreal1(2, A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_goboard8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 2), k3_finseq_1(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 2), k1_matrix_0(k2_goboard2(A))) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(k1_nat_1(D, 2), k3_finseq_1(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(D, 1), k1_nat_1(C, 1))) ) ) )  =>  ( ( ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(D, 1), k1_nat_1(C, 2)) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(D, 2), k1_nat_1(C, 1))) )  &  ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(D, 1), k1_nat_1(C, 2)) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(D, 2), k1_nat_1(C, 1))) ) )  | r1_xboole_0(k1_rltopsp1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), D, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(D, 1), k1_nat_1(C, 1))), k7_xcmplx_0(1, 2)), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(D, 1), C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(D, 2), k1_nat_1(C, 1))), k7_xcmplx_0(1, 2))), k3_topreal1(2, A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_goboard8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 2), k3_finseq_1(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 2), k1_matrix_0(k2_goboard2(A))) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(k1_nat_1(D, 2), k3_finseq_1(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(D, 1), k1_nat_1(C, 1))) ) ) )  =>  ( ( ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(D, 1), k1_nat_1(C, 2)) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), D, k1_nat_1(C, 1))) )  &  ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(D, 1), k1_nat_1(C, 2)) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), D, k1_nat_1(C, 1))) ) )  | r1_xboole_0(k1_rltopsp1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), D, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(D, 1), k1_nat_1(C, 1))), k7_xcmplx_0(1, 2)), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(D, 1), C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(D, 2), k1_nat_1(C, 1))), k7_xcmplx_0(1, 2))), k3_topreal1(2, A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_goboard8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 2), k3_finseq_1(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k1_matrix_0(k2_goboard2(A))) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(k1_nat_1(D, 2), k3_finseq_1(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(D, 1), C)) ) ) )  =>  ( ( ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), D, C) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(D, 2), C)) )  &  ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), D, C) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(D, 2), C)) ) )  | r1_xboole_0(k1_rltopsp1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), D, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(D, 1), k1_nat_1(C, 1))), k7_xcmplx_0(1, 2)), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(D, 1), C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(D, 2), k1_nat_1(C, 1))), k7_xcmplx_0(1, 2))), k3_topreal1(2, A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_goboard8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 2), k3_finseq_1(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 2), k1_matrix_0(k2_goboard2(A))) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(k1_nat_1(D, 2), k3_finseq_1(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(D, 1), k1_nat_1(C, 1))) ) ) )  =>  ( ( ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(D, 1), C) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(D, 2), k1_nat_1(C, 1))) )  &  ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(D, 1), C) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(D, 2), k1_nat_1(C, 1))) ) )  | r1_xboole_0(k1_rltopsp1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), D, k1_nat_1(C, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(D, 1), k1_nat_1(C, 2))), k7_xcmplx_0(1, 2)), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(D, 1), k1_nat_1(C, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(D, 2), k1_nat_1(C, 2))), k7_xcmplx_0(1, 2))), k3_topreal1(2, A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_goboard8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 2), k3_finseq_1(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 2), k1_matrix_0(k2_goboard2(A))) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(k1_nat_1(D, 2), k3_finseq_1(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(D, 1), k1_nat_1(C, 1))) ) ) )  =>  ( ( ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(D, 1), C) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), D, k1_nat_1(C, 1))) )  &  ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(D, 1), C) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), D, k1_nat_1(C, 1))) ) )  | r1_xboole_0(k1_rltopsp1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), D, k1_nat_1(C, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(D, 1), k1_nat_1(C, 2))), k7_xcmplx_0(1, 2)), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(D, 1), k1_nat_1(C, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(D, 2), k1_nat_1(C, 2))), k7_xcmplx_0(1, 2))), k3_topreal1(2, A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_goboard8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 2), k3_finseq_1(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 2), k1_matrix_0(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, k1_nat_1(C, 1))) )  =>  ( ( ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, k1_nat_1(C, 2)) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 2, k1_nat_1(C, 1))) )  &  ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, k1_nat_1(C, 2)) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 2, k1_nat_1(C, 1))) ) )  | r1_xboole_0(k1_rltopsp1(k15_euclid(2), k5_algstr_0(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, k1_nat_1(C, 1))), k7_xcmplx_0(1, 2)), k19_euclid(1, k5_numbers)), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 2, k1_nat_1(C, 1))), k7_xcmplx_0(1, 2))), k3_topreal1(2, A))) ) ) ) ) ) ) ) ) ).
fof(t18_goboard8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 2), k3_finseq_1(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 2), k1_matrix_0(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, k1_nat_1(C, 1))) )  =>  ( ( ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, C) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 2, k1_nat_1(C, 1))) )  &  ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, C) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 2, k1_nat_1(C, 1))) ) )  | r1_xboole_0(k1_rltopsp1(k15_euclid(2), k5_algstr_0(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, k1_nat_1(C, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, k1_nat_1(C, 2))), k7_xcmplx_0(1, 2)), k19_euclid(1, k5_numbers)), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, k1_nat_1(C, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 2, k1_nat_1(C, 2))), k7_xcmplx_0(1, 2))), k3_topreal1(2, A))) ) ) ) ) ) ) ) ) ).
fof(t19_goboard8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 2), k3_finseq_1(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 2), k1_matrix_0(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k3_finseq_1(k2_goboard2(A)), k1_nat_1(C, 1))) )  =>  ( ( ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k3_finseq_1(k2_goboard2(A)), k1_nat_1(C, 2)) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k7_nat_d(k3_finseq_1(k2_goboard2(A)), 1), k1_nat_1(C, 1))) )  &  ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k3_finseq_1(k2_goboard2(A)), k1_nat_1(C, 2)) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k7_nat_d(k3_finseq_1(k2_goboard2(A)), 1), k1_nat_1(C, 1))) ) )  | r1_xboole_0(k1_rltopsp1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k7_nat_d(k3_finseq_1(k2_goboard2(A)), 1), C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k3_finseq_1(k2_goboard2(A)), k1_nat_1(C, 1))), k7_xcmplx_0(1, 2)), k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k3_finseq_1(k2_goboard2(A)), C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k3_finseq_1(k2_goboard2(A)), k1_nat_1(C, 1))), k7_xcmplx_0(1, 2)), k19_euclid(1, k5_numbers))), k3_topreal1(2, A))) ) ) ) ) ) ) ) ) ).
fof(t20_goboard8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 2), k3_finseq_1(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 2), k1_matrix_0(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k3_finseq_1(k2_goboard2(A)), k1_nat_1(C, 1))) )  =>  ( ( ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k3_finseq_1(k2_goboard2(A)), C) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k7_nat_d(k3_finseq_1(k2_goboard2(A)), 1), k1_nat_1(C, 1))) )  &  ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 2))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k3_finseq_1(k2_goboard2(A)), C) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k7_nat_d(k3_finseq_1(k2_goboard2(A)), 1), k1_nat_1(C, 1))) ) )  | r1_xboole_0(k1_rltopsp1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k7_nat_d(k3_finseq_1(k2_goboard2(A)), 1), k1_nat_1(C, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k3_finseq_1(k2_goboard2(A)), k1_nat_1(C, 2))), k7_xcmplx_0(1, 2)), k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k3_finseq_1(k2_goboard2(A)), k1_nat_1(C, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k3_finseq_1(k2_goboard2(A)), k1_nat_1(C, 2))), k7_xcmplx_0(1, 2)), k19_euclid(1, k5_numbers))), k3_topreal1(2, A))) ) ) ) ) ) ) ) ) ).
fof(t21_goboard8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(C, B) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, 1)), k17_euclid(C))) ) ) )  => r1_xboole_0(B, k3_topreal1(2, A))) ) ) ) ) ).
fof(t22_goboard8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(C, B) & r1_xxreal_0(k17_euclid(C), k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k3_finseq_1(k2_goboard2(A)), 1)))) ) ) )  => r1_xboole_0(B, k3_topreal1(2, A))) ) ) ) ) ).
fof(t23_goboard8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(C, B) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, 1)), k18_euclid(C))) ) ) )  => r1_xboole_0(B, k3_topreal1(2, A))) ) ) ) ) ).
fof(t24_goboard8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(C, B) & r1_xxreal_0(k18_euclid(C), k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, k1_matrix_0(k2_goboard2(A)))))) ) ) )  => r1_xboole_0(B, k3_topreal1(2, A))) ) ) ) ) ).
fof(t25_goboard8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 2), k3_finseq_1(k2_goboard2(A))))  => r1_xboole_0(k1_rltopsp1(k15_euclid(2), k5_algstr_0(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), B, 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(B, 1), 1)), k7_xcmplx_0(1, 2)), k19_euclid(k5_numbers, 1)), k5_algstr_0(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(B, 1), 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(B, 2), 1)), k7_xcmplx_0(1, 2)), k19_euclid(k5_numbers, 1))), k3_topreal1(2, A))) ) ) ) ) ).
fof(t26_goboard8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => r1_xboole_0(k1_rltopsp1(k15_euclid(2), k5_algstr_0(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, 1), k19_euclid(1, 1)), k5_algstr_0(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 2, 1)), k7_xcmplx_0(1, 2)), k19_euclid(k5_numbers, 1))), k3_topreal1(2, A))) ) ).
fof(t27_goboard8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => r1_xboole_0(k1_rltopsp1(k15_euclid(2), k5_algstr_0(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k7_nat_d(k3_finseq_1(k2_goboard2(A)), 1), 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k3_finseq_1(k2_goboard2(A)), 1)), k7_xcmplx_0(1, 2)), k19_euclid(k5_numbers, 1)), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k3_finseq_1(k2_goboard2(A)), 1), k19_euclid(1, k4_xcmplx_0(1)))), k3_topreal1(2, A))) ) ).
fof(t28_goboard8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 2), k3_finseq_1(k2_goboard2(A))))  => r1_xboole_0(k1_rltopsp1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), B, k1_matrix_0(k2_goboard2(A))), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(B, 1), k1_matrix_0(k2_goboard2(A)))), k7_xcmplx_0(1, 2)), k19_euclid(k5_numbers, 1)), k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(B, 1), k1_matrix_0(k2_goboard2(A))), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k1_nat_1(B, 2), k1_matrix_0(k2_goboard2(A)))), k7_xcmplx_0(1, 2)), k19_euclid(k5_numbers, 1))), k3_topreal1(2, A))) ) ) ) ) ).
fof(t29_goboard8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => r1_xboole_0(k1_rltopsp1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, k1_matrix_0(k2_goboard2(A))), k19_euclid(k4_xcmplx_0(1), 1)), k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, k1_matrix_0(k2_goboard2(A))), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 2, k1_matrix_0(k2_goboard2(A)))), k7_xcmplx_0(1, 2)), k19_euclid(k5_numbers, 1))), k3_topreal1(2, A))) ) ).
fof(t30_goboard8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => r1_xboole_0(k1_rltopsp1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k7_nat_d(k3_finseq_1(k2_goboard2(A)), 1), k1_matrix_0(k2_goboard2(A))), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k3_finseq_1(k2_goboard2(A)), k1_matrix_0(k2_goboard2(A)))), k7_xcmplx_0(1, 2)), k19_euclid(k5_numbers, 1)), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k3_finseq_1(k2_goboard2(A)), k1_matrix_0(k2_goboard2(A))), k19_euclid(1, 1))), k3_topreal1(2, A))) ) ).
fof(t31_goboard8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 2), k1_matrix_0(k2_goboard2(A))))  => r1_xboole_0(k1_rltopsp1(k15_euclid(2), k5_algstr_0(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, k1_nat_1(B, 1))), k7_xcmplx_0(1, 2)), k19_euclid(1, k5_numbers)), k5_algstr_0(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, k1_nat_1(B, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, k1_nat_1(B, 2))), k7_xcmplx_0(1, 2)), k19_euclid(1, k5_numbers))), k3_topreal1(2, A))) ) ) ) ) ).
fof(t32_goboard8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => r1_xboole_0(k1_rltopsp1(k15_euclid(2), k5_algstr_0(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, 1), k19_euclid(1, 1)), k5_algstr_0(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, 2)), k7_xcmplx_0(1, 2)), k19_euclid(1, k5_numbers))), k3_topreal1(2, A))) ) ).
fof(t33_goboard8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => r1_xboole_0(k1_rltopsp1(k15_euclid(2), k5_algstr_0(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, k7_nat_d(k1_matrix_0(k2_goboard2(A)), 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, k1_matrix_0(k2_goboard2(A)))), k7_xcmplx_0(1, 2)), k19_euclid(1, k5_numbers)), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, k1_matrix_0(k2_goboard2(A))), k19_euclid(k4_xcmplx_0(1), 1))), k3_topreal1(2, A))) ) ).
fof(t34_goboard8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 2), k1_matrix_0(k2_goboard2(A))))  => r1_xboole_0(k1_rltopsp1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k3_finseq_1(k2_goboard2(A)), B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k3_finseq_1(k2_goboard2(A)), k1_nat_1(B, 1))), k7_xcmplx_0(1, 2)), k19_euclid(1, k5_numbers)), k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k3_finseq_1(k2_goboard2(A)), k1_nat_1(B, 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k3_finseq_1(k2_goboard2(A)), k1_nat_1(B, 2))), k7_xcmplx_0(1, 2)), k19_euclid(1, k5_numbers))), k3_topreal1(2, A))) ) ) ) ) ).
fof(t35_goboard8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => r1_xboole_0(k1_rltopsp1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k3_finseq_1(k2_goboard2(A)), 1), k19_euclid(1, k4_xcmplx_0(1))), k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k3_finseq_1(k2_goboard2(A)), 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k3_finseq_1(k2_goboard2(A)), 2)), k7_xcmplx_0(1, 2)), k19_euclid(1, k5_numbers))), k3_topreal1(2, A))) ) ).
fof(t36_goboard8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => r1_xboole_0(k1_rltopsp1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k3_finseq_1(k2_goboard2(A)), k7_nat_d(k1_matrix_0(k2_goboard2(A)), 1)), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k3_finseq_1(k2_goboard2(A)), k1_matrix_0(k2_goboard2(A)))), k7_xcmplx_0(1, 2)), k19_euclid(1, k5_numbers)), k3_rlvect_1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k3_finseq_1(k2_goboard2(A)), k1_matrix_0(k2_goboard2(A))), k19_euclid(1, 1))), k3_topreal1(2, A))) ) ).
fof(t37_goboard8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v3_funct_1(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(B) &  (v2_topreal1(B) &  (v1_goboard5(B) &  (v2_goboard5(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(B)))  => r1_xboole_0(k1_tops_1(k15_euclid(2), k5_goboard5(B, A)), k3_topreal1(2, B))) ) ) ) ) ).
fof(t38_goboard8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v3_funct_1(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(B) &  (v2_topreal1(B) &  (v1_goboard5(B) &  (v2_goboard5(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(B)))  => r1_xboole_0(k1_tops_1(k15_euclid(2), k4_goboard5(B, A)), k3_topreal1(2, B))) ) ) ) ) ).
fof(rc1_goboard9, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  ( ~ (v1_xboole_0(A))  & v1_convex1(A, k15_euclid(2))) ) ) ).
fof(rc2_goboard9, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v3_funct_1(A))  &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ).
fof(fc1_goboard9, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v3_funct_1(A))  & v1_finseq_1(A)) ) )  =>  (v1_relat_1(k3_finseq_5(A)) &  (v1_funct_1(k3_finseq_5(A)) &  ( ~ (v3_funct_1(k3_finseq_5(A)))  & v1_finseq_1(k3_finseq_5(A))) ) ) ) ) ).
fof(t1_goboard9, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r3_connsp_1(A, D, B) &  (r3_connsp_1(A, D, C) &  ( ~ (B=C)  &  ~ (r1_xboole_0(B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_goboard9, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k1_pre_topc(A, C)))) =>  (B=D => k1_pre_topc(A, B)=k1_pre_topc(k1_pre_topc(A, C), D)) ) ) ) ) ) ) ) ) ).
fof(t3_goboard9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( (r1_tarski(B, C) &  (v2_connsp_1(B, A) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r3_connsp_1(A, C, D) & r1_tarski(B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_goboard9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v2_connsp_1(C, A) &  (r3_connsp_1(A, E, D) &  (r1_tarski(B, D) & r1_tarski(C, E)) ) )  =>  (r1_xboole_0(B, C) | r1_tarski(C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_goboard9, axiom,  (! [A] :  ( (v1_convex1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  ( (v1_convex1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => v1_convex1(k9_subset_1(u1_struct_0(k15_euclid(2)), A, B), k15_euclid(2))) ) ) ) ).
fof(t7_goboard9, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) => k4_finseq_5(k1_numbers, k1_goboard1(A))=k1_goboard1(k4_finseq_5(u1_struct_0(k15_euclid(2)), A))) ) ).
fof(t8_goboard9, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) => k4_finseq_5(k1_numbers, k2_goboard1(A))=k2_goboard1(k4_finseq_5(u1_struct_0(k15_euclid(2)), A))) ) ).
fof(t9_goboard9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(1, C) & k2_xcmplx_0(B, C)=k3_finseq_1(A)) )  => k5_goboard5(A, B)=k4_goboard5(k1_goboard9(A), C)) ) ) ) ) ) ) ).
fof(t10_goboard9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(1, C) & k2_xcmplx_0(B, C)=k3_finseq_1(A)) )  => k5_goboard5(k1_goboard9(A), B)=k4_goboard5(A, C)) ) ) ) ) ) ) ).
fof(t11_goboard9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(k1_nat_1(B, 1), k3_finseq_1(A)) &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(C, k3_finseq_1(k2_goboard2(A))) &  (r1_xxreal_0(D, k1_matrix_0(k2_goboard2(A))) & k3_goboard5(k2_goboard2(A), C, D)=k5_goboard5(A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_goboard9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_xxreal_0(A, k1_matrix_0(B)) => v1_convex1(k1_tops_1(k15_euclid(2), k2_goboard5(B, A)), k15_euclid(2))) ) ) ) ) ).
fof(t13_goboard9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_xxreal_0(A, k3_finseq_1(B)) => v1_convex1(k1_tops_1(k15_euclid(2), k1_goboard5(B, A)), k15_euclid(2))) ) ) ) ) ).
fof(t14_goboard9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ~ ( (r1_xxreal_0(A, k3_finseq_1(C)) &  (r1_xxreal_0(B, k1_matrix_0(C)) & k1_tops_1(k15_euclid(2), k3_goboard5(C, A, B))=k1_xboole_0) ) ) ) ) ) ) ) ) ).
fof(t15_goboard9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(k1_nat_1(B, 1), k3_finseq_1(A)) & k1_tops_1(k15_euclid(2), k5_goboard5(A, B))=k1_xboole_0) ) ) ) ) ) ) ).
fof(t16_goboard9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(k1_nat_1(B, 1), k3_finseq_1(A)) & k1_tops_1(k15_euclid(2), k4_goboard5(A, B))=k1_xboole_0) ) ) ) ) ) ) ).
fof(t17_goboard9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(A, k3_finseq_1(C)) & r1_xxreal_0(B, k1_matrix_0(C)))  => v1_convex1(k1_tops_1(k15_euclid(2), k3_goboard5(C, A, B)), k15_euclid(2))) ) ) ) ) ) ) ).
fof(t19_goboard9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 1), k3_finseq_1(A)))  => v1_convex1(k1_tops_1(k15_euclid(2), k5_goboard5(A, B)), k15_euclid(2))) ) ) ) ) ).
fof(t20_goboard9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 1), k3_finseq_1(A)))  => v1_convex1(k1_tops_1(k15_euclid(2), k4_goboard5(A, B)), k15_euclid(2))) ) ) ) ) ).
fof(d1_goboard9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (B=k2_goboard9(A) <=>  (r3_connsp_1(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A)), B) & r1_tarski(k1_tops_1(k15_euclid(2), k5_goboard5(A, 1)), B)) ) ) ) ) ) ).
fof(d2_goboard9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (B=k3_goboard9(A) <=>  (r3_connsp_1(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A)), B) & r1_tarski(k1_tops_1(k15_euclid(2), k4_goboard5(A, 1)), B)) ) ) ) ) ) ).
fof(t21_goboard9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 1), k3_finseq_1(A)))  => r1_tarski(k1_tops_1(k15_euclid(2), k5_goboard5(A, B)), k2_goboard9(A))) ) ) ) ) ).
fof(t22_goboard9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => k2_goboard2(k1_goboard9(A))=k2_goboard2(A)) ) ).
fof(t23_goboard9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => k3_goboard9(A)=k2_goboard9(k1_goboard9(A))) ) ).
fof(t24_goboard9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => k3_goboard9(k1_goboard9(A))=k2_goboard9(A)) ) ).
fof(t25_goboard9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 1), k3_finseq_1(A)))  => r1_tarski(k1_tops_1(k15_euclid(2), k4_goboard5(A, B)), k3_goboard9(A))) ) ) ) ) ).
fof(dt_k1_goboard9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k1_goboard9(A)))  &  (v1_finseq_6(k1_goboard9(A), u1_struct_0(k15_euclid(2))) &  (v1_topreal1(k1_goboard9(A)) &  (v2_topreal1(k1_goboard9(A)) &  (v1_goboard5(k1_goboard9(A)) &  (v2_goboard5(k1_goboard9(A)) & m2_finseq_1(k1_goboard9(A), u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) ) ).
fof(involutiveness_k1_goboard9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) )  => k1_goboard9(k1_goboard9(A))=A) ) ).
fof(redefinition_k1_goboard9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) )  => k1_goboard9(A)=k3_finseq_5(A)) ) ).
fof(dt_k2_goboard9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => m1_subset_1(k2_goboard9(A), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k3_goboard9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => m1_subset_1(k3_goboard9(A), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(d1_gobrd10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_gobrd10(A, B) <=>  (B=k1_nat_1(A, 1) | A=k1_nat_1(B, 1)) ) ) ) ) ) ).
fof(t1_gobrd10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_gobrd10(A, B) => r1_gobrd10(k1_nat_1(A, 1), k1_nat_1(B, 1))) ) ) ) ) ).
fof(t2_gobrd10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_gobrd10(A, B) &  (r1_xxreal_0(1, A) & r1_xxreal_0(1, B)) )  => r1_gobrd10(k7_nat_d(A, 1), k7_nat_d(B, 1))) ) ) ) ) ).
fof(d2_gobrd10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_gobrd10(A, B, C, D) <=>  ( (r1_gobrd10(A, C) & B=D)  |  (A=C & r1_gobrd10(B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_gobrd10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_gobrd10(A, C, B, D) => r2_gobrd10(k1_nat_1(A, 1), k1_nat_1(C, 1), k1_nat_1(B, 1), k1_nat_1(D, 1))) ) ) ) ) ) ) ) ) ).
fof(t4_gobrd10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_gobrd10(A, C, B, D) &  (r1_xxreal_0(1, A) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(1, C) & r1_xxreal_0(1, D)) ) ) )  => r2_gobrd10(k7_nat_d(A, 1), k7_nat_d(C, 1), k7_nat_d(B, 1), k7_nat_d(D, 1))) ) ) ) ) ) ) ) ) ).
fof(t5_gobrd10, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ ( (r1_xxreal_0(B, A) &  (r1_xxreal_0(C, A) &  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  ~ ( (k1_funct_1(D, 1)=B &  (k1_funct_1(D, k3_finseq_1(D))=C &  (k3_finseq_1(D)=k1_nat_1(k1_nat_1(k7_nat_d(B, C), k7_nat_d(C, B)), 1) &  ( (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  ( (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, k3_finseq_1(D)) & F=k1_funct_1(D, E)) )  => r1_xxreal_0(F, A)) ) ) ) )  &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ~ ( (r1_xxreal_0(1, E) &  ( ~ (r1_xxreal_0(k3_finseq_1(D), E))  &  ( ~ (k1_funct_1(D, k1_nat_1(E, 1))=k1_nat_1(k7_partfun1(k4_ordinal1, D, E), 1))  &  ~ (k1_funct_1(D, E)=k1_nat_1(k7_partfun1(k4_ordinal1, D, k1_nat_1(E, 1)), 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_gobrd10, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ ( (r1_xxreal_0(B, A) &  (r1_xxreal_0(C, A) &  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  ~ ( (k1_funct_1(D, 1)=B &  (k1_funct_1(D, k3_finseq_1(D))=C &  (k3_finseq_1(D)=k1_nat_1(k1_nat_1(k7_nat_d(B, C), k7_nat_d(C, B)), 1) &  ( (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  ( (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, k3_finseq_1(D)) & F=k1_funct_1(D, E)) )  => r1_xxreal_0(F, A)) ) ) ) )  &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r1_xxreal_0(1, E) =>  (r1_xxreal_0(k3_finseq_1(D), E) | r1_gobrd10(k7_partfun1(k4_ordinal1, D, E), k7_partfun1(k4_ordinal1, D, k1_nat_1(E, 1)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_gobrd10, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  ~ ( (r1_xxreal_0(C, A) &  (r1_xxreal_0(D, B) &  (r1_xxreal_0(E, A) &  (r1_xxreal_0(F, B) &  (! [G] :  (m2_finseq_1(G, k4_ordinal1) =>  (! [H] :  (m2_finseq_1(H, k4_ordinal1) =>  ~ ( ( (! [I] :  (m1_subset_1(I, k4_ordinal1) =>  (! [J] :  (m1_subset_1(J, k4_ordinal1) =>  (! [K] :  (m1_subset_1(K, k4_ordinal1) =>  ( (r2_tarski(I, k4_finseq_1(G)) &  (J=k1_funct_1(G, I) & K=k1_funct_1(H, I)) )  =>  (r1_xxreal_0(J, A) & r1_xxreal_0(K, B)) ) ) ) ) ) ) )  &  (k1_funct_1(G, 1)=C &  (k1_funct_1(G, k3_finseq_1(G))=E &  (k1_funct_1(H, 1)=D &  (k1_funct_1(H, k3_finseq_1(H))=F &  (k3_finseq_1(G)=k3_finseq_1(H) &  (k3_finseq_1(G)=k1_nat_1(k1_nat_1(k1_nat_1(k1_nat_1(k7_nat_d(C, E), k7_nat_d(E, C)), k7_nat_d(D, F)), k7_nat_d(F, D)), 1) &  (! [I] :  (m1_subset_1(I, k4_ordinal1) =>  (r1_xxreal_0(1, I) =>  (r1_xxreal_0(k3_finseq_1(G), I) | r2_gobrd10(k7_partfun1(k4_ordinal1, G, I), k7_partfun1(k4_ordinal1, H, I), k7_partfun1(k4_ordinal1, G, k1_nat_1(I, 1)), k7_partfun1(k4_ordinal1, H, k1_nat_1(I, 1)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_gobrd10, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(C)) =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, k1_zfmisc_1(C), A, B) & m2_finseq_1(E, k3_finseq_2(k1_zfmisc_1(C)))) )  =>  ( (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  (! [H] :  (m1_subset_1(H, k4_ordinal1) =>  (! [I] :  (m1_subset_1(I, k4_ordinal1) =>  ( (r2_tarski(F, k2_finseq_1(A)) &  (r2_tarski(H, k2_finseq_1(A)) &  (r2_tarski(G, k2_finseq_1(B)) &  (r2_tarski(I, k2_finseq_1(B)) & r2_gobrd10(F, G, H, I)) ) ) )  =>  (r1_tarski(k3_matrix_0(k1_zfmisc_1(C), E, F, G), D) <=> r1_tarski(k3_matrix_0(k1_zfmisc_1(C), E, H, I), D)) ) ) ) ) ) ) ) ) )  =>  ( (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  ~ ( (r2_tarski(F, k2_finseq_1(A)) &  (r2_tarski(G, k2_finseq_1(B)) & r1_tarski(k3_matrix_0(k1_zfmisc_1(C), E, F, G), D)) ) ) ) ) ) )  |  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  ( (r2_tarski(F, k2_finseq_1(A)) & r2_tarski(G, k2_finseq_1(B)))  => r1_tarski(k3_matrix_0(k1_zfmisc_1(C), E, F, G), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(symmetry_r1_gobrd10, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  =>  (r1_gobrd10(A, B) => r1_gobrd10(B, A)) ) ) ).
fof(irreflexivity_r1_gobrd10, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  =>  ~ (r1_gobrd10(A, A)) ) ) ).
fof(fc1_gobrd11, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ~ (v1_xboole_0(k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A)))) ) ) ).
fof(t1_gobrd11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & v2_connsp_1(B, A))  => r1_tarski(B, k1_connsp_1(A, C))) ) ) ) ) ) ) ).
fof(t2_gobrd11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v3_connsp_1(D, A) &  (r1_tarski(B, D) & v2_connsp_1(C, A)) )  =>  (r1_xboole_0(k2_pre_topc(A, B), k2_pre_topc(A, C)) | r1_tarski(C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t3_gobrd11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v3_connsp_1(B, A) & v3_connsp_1(C, A))  => m1_connsp_3(k4_subset_1(u1_struct_0(A), B, C), A)) ) ) ) ) ) ) ).
fof(t4_gobrd11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => k4_connsp_3(A, k4_subset_1(u1_struct_0(A), B, C), D)=k4_subset_1(u1_struct_0(k1_pre_topc(A, D)), k4_connsp_3(A, B, D), k4_connsp_3(A, C, D))) ) ) ) ) ) ) ) ).
fof(t5_gobrd11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => k4_connsp_3(A, k9_subset_1(u1_struct_0(A), B, C), D)=k9_subset_1(u1_struct_0(k1_pre_topc(A, D)), k4_connsp_3(A, B, D), k4_connsp_3(A, C, D))) ) ) ) ) ) ) ) ).
fof(t6_gobrd11, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ~ (k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A))=k1_xboole_0) ) ) ).
fof(t16_gobrd11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  => v4_pre_topc(k2_goboard5(B, A), k15_euclid(2))) ) ) ) ).
fof(t17_gobrd11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  => v4_pre_topc(k1_goboard5(B, A), k15_euclid(2))) ) ) ) ).
fof(t33_gobrd11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  => v4_pre_topc(k3_goboard5(C, A, B), k15_euclid(2))) ) ) ) ) ) ).
fof(t34_gobrd11, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) )  =>  (r1_xxreal_0(1, k3_finseq_1(A)) & r1_xxreal_0(1, k1_matrix_0(A))) ) ) ).
fof(t35_gobrd11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(A, k3_finseq_1(C)) & r1_xxreal_0(B, k1_matrix_0(C)))  => k3_goboard5(C, A, B)=k2_pre_topc(k15_euclid(2), k1_tops_1(k15_euclid(2), k3_goboard5(C, A, B)))) ) ) ) ) ) ) ).
fof(t7_gobrd11, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => u1_struct_0(k15_euclid(2))=k3_tarski(a_1_0_gobrd11(A))) ) ).
fof(t8_gobrd11, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (B=a_1_1_gobrd11(A) & C=a_1_2_gobrd11(A))  => B=k3_subset_1(u1_struct_0(k15_euclid(2)), C)) ) ) ) ) ) ) ).
fof(t9_gobrd11, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (B=a_1_3_gobrd11(A) & C=a_1_4_gobrd11(A))  => B=k3_subset_1(u1_struct_0(k15_euclid(2)), C)) ) ) ) ) ) ) ).
fof(t10_gobrd11, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (B=a_1_5_gobrd11(A) & C=a_1_6_gobrd11(A))  => B=k3_subset_1(u1_struct_0(k15_euclid(2)), C)) ) ) ) ) ) ) ).
fof(t11_gobrd11, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (B=a_1_7_gobrd11(A) & C=a_1_8_gobrd11(A))  => B=k3_subset_1(u1_struct_0(k15_euclid(2)), C)) ) ) ) ) ) ) ).
fof(t12_gobrd11, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (v1_xreal_0(B) =>  (A=a_1_1_gobrd11(B) => v4_pre_topc(A, k15_euclid(2))) ) ) ) ) ).
fof(t13_gobrd11, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (v1_xreal_0(B) =>  (A=a_1_3_gobrd11(B) => v4_pre_topc(A, k15_euclid(2))) ) ) ) ) ).
fof(t14_gobrd11, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (v1_xreal_0(B) =>  (A=a_1_7_gobrd11(B) => v4_pre_topc(A, k15_euclid(2))) ) ) ) ) ).
fof(t15_gobrd11, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (v1_xreal_0(B) =>  (A=a_1_5_gobrd11(B) => v4_pre_topc(A, k15_euclid(2))) ) ) ) ) ).
fof(t18_gobrd11, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) )  =>  (v1_goboard1(A) => k1_goboard5(A, k5_numbers)=a_1_9_gobrd11(A)) ) ) ).
fof(t19_gobrd11, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) )  =>  (v1_goboard1(A) => k1_goboard5(A, k3_finseq_1(A))=a_1_10_gobrd11(A)) ) ) ).
fof(t20_gobrd11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) )  =>  ( (v1_goboard1(B) & r1_xxreal_0(1, A))  =>  (r1_xxreal_0(k3_finseq_1(B), A) | k1_goboard5(B, A)=a_2_0_gobrd11(A, B)) ) ) ) ) ) ).
fof(t21_gobrd11, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) )  =>  (v2_goboard1(A) => k2_goboard5(A, k5_numbers)=a_1_11_gobrd11(A)) ) ) ).
fof(t22_gobrd11, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) )  =>  (v2_goboard1(A) => k2_goboard5(A, k1_matrix_0(A))=a_1_12_gobrd11(A)) ) ) ).
fof(t23_gobrd11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) )  =>  ( (v2_goboard1(B) & r1_xxreal_0(1, A))  =>  (r1_xxreal_0(k1_matrix_0(B), A) | k2_goboard5(B, A)=a_2_1_gobrd11(A, B)) ) ) ) ) ) ).
fof(t24_gobrd11, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) )  => k3_goboard5(A, k5_numbers, k5_numbers)=a_1_13_gobrd11(A)) ) ).
fof(t25_gobrd11, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) )  => k3_goboard5(A, k5_numbers, k1_matrix_0(A))=a_1_14_gobrd11(A)) ) ).
fof(t26_gobrd11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(k1_matrix_0(B), A) | k3_goboard5(B, k5_numbers, A)=a_2_2_gobrd11(A, B)) ) ) ) ) ) ).
fof(t27_gobrd11, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) )  => k3_goboard5(A, k3_finseq_1(A), k5_numbers)=a_1_15_gobrd11(A)) ) ).
fof(t28_gobrd11, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) )  => k3_goboard5(A, k3_finseq_1(A), k1_matrix_0(A))=a_1_16_gobrd11(A)) ) ).
fof(t29_gobrd11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(k1_matrix_0(B), A) | k3_goboard5(B, k3_finseq_1(B), A)=a_2_3_gobrd11(A, B)) ) ) ) ) ) ).
fof(t30_gobrd11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(k3_finseq_1(B), A) | k3_goboard5(B, A, k5_numbers)=a_2_4_gobrd11(A, B)) ) ) ) ) ) ).
fof(t31_gobrd11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(k3_finseq_1(B), A) | k3_goboard5(B, A, k1_matrix_0(B))=a_2_5_gobrd11(A, B)) ) ) ) ) ) ).
fof(t32_gobrd11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) )  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(1, B))  =>  (r1_xxreal_0(k3_finseq_1(C), A) |  (r1_xxreal_0(k1_matrix_0(C), B) | k3_goboard5(C, A, B)=a_3_0_gobrd11(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_gobrd11, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v3_funct_1(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(B) &  (v2_topreal1(B) &  (v1_goboard5(B) &  (v2_goboard5(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (r2_hidden(A, a_1_0_gobrd11(B)) <=>  (? [C, D] :  ( (v7_ordinal1(C) & v7_ordinal1(D))  &  (A=k3_goboard5(k2_goboard2(B), C, D) &  (r1_xxreal_0(C, k3_finseq_1(k2_goboard2(B))) & r1_xxreal_0(D, k1_matrix_0(k2_goboard2(B)))) ) ) ) ) ) ) ).
fof(fraenkel_a_1_1_gobrd11, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_1_gobrd11(B)) <=>  (? [C, D] :  ( (v1_xreal_0(C) & v1_xreal_0(D))  &  (A=k19_euclid(C, D) & r1_xxreal_0(D, B)) ) ) ) ) ) ).
fof(fraenkel_a_1_2_gobrd11, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_2_gobrd11(B)) <=>  (? [C, D] :  ( (v1_xreal_0(C) & v1_xreal_0(D))  &  (A=k19_euclid(C, D) &  ~ (r1_xxreal_0(D, B)) ) ) ) ) ) ) ).
fof(fraenkel_a_1_3_gobrd11, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_3_gobrd11(B)) <=>  (? [C, D] :  ( (v1_xreal_0(C) & v1_xreal_0(D))  &  (A=k19_euclid(C, D) & r1_xxreal_0(B, D)) ) ) ) ) ) ).
fof(fraenkel_a_1_4_gobrd11, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_4_gobrd11(B)) <=>  (? [C, D] :  ( (v1_xreal_0(C) & v1_xreal_0(D))  &  (A=k19_euclid(C, D) &  ~ (r1_xxreal_0(B, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_1_5_gobrd11, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_5_gobrd11(B)) <=>  (? [C, D] :  ( (v1_xreal_0(C) & v1_xreal_0(D))  &  (A=k19_euclid(C, D) & r1_xxreal_0(B, C)) ) ) ) ) ) ).
fof(fraenkel_a_1_6_gobrd11, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_6_gobrd11(B)) <=>  (? [C, D] :  ( (v1_xreal_0(C) & v1_xreal_0(D))  &  (A=k19_euclid(C, D) &  ~ (r1_xxreal_0(B, C)) ) ) ) ) ) ) ).
fof(fraenkel_a_1_7_gobrd11, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_7_gobrd11(B)) <=>  (? [C, D] :  ( (v1_xreal_0(C) & v1_xreal_0(D))  &  (A=k19_euclid(C, D) & r1_xxreal_0(C, B)) ) ) ) ) ) ).
fof(fraenkel_a_1_8_gobrd11, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_8_gobrd11(B)) <=>  (? [C, D] :  ( (v1_xreal_0(C) & v1_xreal_0(D))  &  (A=k19_euclid(C, D) &  ~ (r1_xxreal_0(C, B)) ) ) ) ) ) ) ).
fof(fraenkel_a_1_9_gobrd11, axiom,  (! [A, B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) )  =>  (r2_hidden(A, a_1_9_gobrd11(B)) <=>  (? [C, D] :  ( (v1_xreal_0(C) & v1_xreal_0(D))  &  (A=k19_euclid(C, D) & r1_xxreal_0(C, k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, 1)))) ) ) ) ) ) ).
fof(fraenkel_a_1_10_gobrd11, axiom,  (! [A, B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) )  =>  (r2_hidden(A, a_1_10_gobrd11(B)) <=>  (? [C, D] :  ( (v1_xreal_0(C) & v1_xreal_0(D))  &  (A=k19_euclid(C, D) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B), 1)), C)) ) ) ) ) ) ).
fof(fraenkel_a_2_0_gobrd11, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) &  ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) )  =>  (r2_hidden(A, a_2_0_gobrd11(B, C)) <=>  (? [D, E] :  ( (v1_xreal_0(D) & v1_xreal_0(E))  &  (A=k19_euclid(D, E) &  (r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, B, 1)), D) & r1_xxreal_0(D, k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(B, 1), 1)))) ) ) ) ) ) ) ).
fof(fraenkel_a_1_11_gobrd11, axiom,  (! [A, B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) )  =>  (r2_hidden(A, a_1_11_gobrd11(B)) <=>  (? [C, D] :  ( (v1_xreal_0(C) & v1_xreal_0(D))  &  (A=k19_euclid(C, D) & r1_xxreal_0(D, k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, 1)))) ) ) ) ) ) ).
fof(fraenkel_a_1_12_gobrd11, axiom,  (! [A, B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) )  =>  (r2_hidden(A, a_1_12_gobrd11(B)) <=>  (? [C, D] :  ( (v1_xreal_0(C) & v1_xreal_0(D))  &  (A=k19_euclid(C, D) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, k1_matrix_0(B))), D)) ) ) ) ) ) ).
fof(fraenkel_a_2_1_gobrd11, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) &  ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) )  =>  (r2_hidden(A, a_2_1_gobrd11(B, C)) <=>  (? [D, E] :  ( (v1_xreal_0(D) & v1_xreal_0(E))  &  (A=k19_euclid(D, E) &  (r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, 1, B)), E) & r1_xxreal_0(E, k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, 1, k1_nat_1(B, 1))))) ) ) ) ) ) ) ).
fof(fraenkel_a_1_13_gobrd11, axiom,  (! [A, B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (r2_hidden(A, a_1_13_gobrd11(B)) <=>  (? [C, D] :  ( (v1_xreal_0(C) & v1_xreal_0(D))  &  (A=k19_euclid(C, D) &  (r1_xxreal_0(C, k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, 1))) & r1_xxreal_0(D, k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, 1)))) ) ) ) ) ) ) ).
fof(fraenkel_a_1_14_gobrd11, axiom,  (! [A, B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (r2_hidden(A, a_1_14_gobrd11(B)) <=>  (? [C, D] :  ( (v1_xreal_0(C) & v1_xreal_0(D))  &  (A=k19_euclid(C, D) &  (r1_xxreal_0(C, k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, 1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, k1_matrix_0(B))), D)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_2_gobrd11, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) &  ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) )  =>  (r2_hidden(A, a_2_2_gobrd11(B, C)) <=>  (? [D, E] :  ( (v1_xreal_0(D) & v1_xreal_0(E))  &  (A=k19_euclid(D, E) &  (r1_xxreal_0(D, k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, 1, 1))) &  (r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, 1, B)), E) & r1_xxreal_0(E, k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, 1, k1_nat_1(B, 1))))) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_15_gobrd11, axiom,  (! [A, B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (r2_hidden(A, a_1_15_gobrd11(B)) <=>  (? [C, D] :  ( (v1_xreal_0(C) & v1_xreal_0(D))  &  (A=k19_euclid(C, D) &  (r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B), 1)), C) & r1_xxreal_0(D, k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, 1)))) ) ) ) ) ) ) ).
fof(fraenkel_a_1_16_gobrd11, axiom,  (! [A, B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (r2_hidden(A, a_1_16_gobrd11(B)) <=>  (? [C, D] :  ( (v1_xreal_0(C) & v1_xreal_0(D))  &  (A=k19_euclid(C, D) &  (r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B), 1)), C) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, k1_matrix_0(B))), D)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_3_gobrd11, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) &  ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) )  =>  (r2_hidden(A, a_2_3_gobrd11(B, C)) <=>  (? [D, E] :  ( (v1_xreal_0(D) & v1_xreal_0(E))  &  (A=k19_euclid(D, E) &  (r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k3_finseq_1(C), 1)), D) &  (r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, 1, B)), E) & r1_xxreal_0(E, k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, 1, k1_nat_1(B, 1))))) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_4_gobrd11, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) &  ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) )  =>  (r2_hidden(A, a_2_4_gobrd11(B, C)) <=>  (? [D, E] :  ( (v1_xreal_0(D) & v1_xreal_0(E))  &  (A=k19_euclid(D, E) &  (r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, B, 1)), D) &  (r1_xxreal_0(D, k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(B, 1), 1))) & r1_xxreal_0(E, k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, 1, 1)))) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_5_gobrd11, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) &  ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) )  =>  (r2_hidden(A, a_2_5_gobrd11(B, C)) <=>  (? [D, E] :  ( (v1_xreal_0(D) & v1_xreal_0(E))  &  (A=k19_euclid(D, E) &  (r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, B, 1)), D) &  (r1_xxreal_0(D, k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(B, 1), 1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, 1, k1_matrix_0(C))), E)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_gobrd11, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(B) &  (v7_ordinal1(C) &  ( ~ (v3_relat_1(D))  &  (v1_matrix_0(D) &  (v1_goboard1(D) &  (v2_goboard1(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r2_hidden(A, a_3_0_gobrd11(B, C, D)) <=>  (? [E, F] :  ( (v1_xreal_0(E) & v1_xreal_0(F))  &  (A=k19_euclid(E, F) &  (r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), D, B, 1)), E) &  (r1_xxreal_0(E, k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), D, k1_nat_1(B, 1), 1))) &  (r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), D, 1, C)), F) & r1_xxreal_0(F, k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), D, 1, k1_nat_1(C, 1))))) ) ) ) ) ) ) ) ) ).
fof(t1_gobrd12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(B, k3_finseq_1(k2_goboard2(A))) & r1_xxreal_0(C, k1_matrix_0(k2_goboard2(A))))  => r1_tarski(k1_tops_1(k15_euclid(2), k3_goboard5(k2_goboard2(A), B, C)), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A)))) ) ) ) ) ) ) ).
fof(t2_gobrd12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(B, k3_finseq_1(k2_goboard2(A))) & r1_xxreal_0(C, k1_matrix_0(k2_goboard2(A))))  => k2_pre_topc(k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A))), k4_connsp_3(k15_euclid(2), k1_tops_1(k15_euclid(2), k3_goboard5(k2_goboard2(A), B, C)), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A))))=k9_subset_1(u1_struct_0(k15_euclid(2)), k3_goboard5(k2_goboard2(A), B, C), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A)))) ) ) ) ) ) ) ).
fof(t3_gobrd12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(B, k3_finseq_1(k2_goboard2(A))) & r1_xxreal_0(C, k1_matrix_0(k2_goboard2(A))))  =>  (v2_connsp_1(k2_pre_topc(k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A))), k4_connsp_3(k15_euclid(2), k1_tops_1(k15_euclid(2), k3_goboard5(k2_goboard2(A), B, C)), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A)))), k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A)))) & k4_connsp_3(k15_euclid(2), k1_tops_1(k15_euclid(2), k3_goboard5(k2_goboard2(A), B, C)), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A)))=k1_tops_1(k15_euclid(2), k3_goboard5(k2_goboard2(A), B, C))) ) ) ) ) ) ) ) ).
fof(t5_gobrd12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (m1_connsp_3(k4_subset_1(u1_struct_0(k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A)))), k4_connsp_3(k15_euclid(2), k2_goboard9(A), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A))), k4_connsp_3(k15_euclid(2), k3_goboard9(A), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A)))), k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A)))) &  (k4_connsp_3(k15_euclid(2), k2_goboard9(A), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A)))=k2_goboard9(A) & k4_connsp_3(k15_euclid(2), k3_goboard9(A), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A)))=k3_goboard9(A)) ) ) ) ).
fof(t6_gobrd12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(B, k3_finseq_1(k2_goboard2(A))) &  (r1_xxreal_0(C, k1_matrix_0(k2_goboard2(A))) &  (r1_xxreal_0(D, k3_finseq_1(k2_goboard2(A))) &  (r1_xxreal_0(E, k1_matrix_0(k2_goboard2(A))) & r2_gobrd10(B, C, D, E)) ) ) )  =>  (r1_tarski(k1_tops_1(k15_euclid(2), k3_goboard5(k2_goboard2(A), B, C)), k4_subset_1(u1_struct_0(k15_euclid(2)), k2_goboard9(A), k3_goboard9(A))) <=> r1_tarski(k1_tops_1(k15_euclid(2), k3_goboard5(k2_goboard2(A), D, E)), k4_subset_1(u1_struct_0(k15_euclid(2)), k2_goboard9(A), k3_goboard9(A)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_gobrd12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r2_tarski(D, k4_finseq_1(B)) &  (E=k1_funct_1(B, D) & F=k1_funct_1(C, D)) )  =>  (r1_xxreal_0(E, k3_finseq_1(k2_goboard2(A))) & r1_xxreal_0(F, k1_matrix_0(k2_goboard2(A)))) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(D, k4_finseq_1(B)) & r1_tarski(k1_tops_1(k15_euclid(2), k3_goboard5(k2_goboard2(A), k7_partfun1(k4_ordinal1, B, D), k7_partfun1(k4_ordinal1, C, D))), k4_subset_1(u1_struct_0(k15_euclid(2)), k2_goboard9(A), k3_goboard9(A)))) ) ) )  |  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(B)) => r1_tarski(k1_tops_1(k15_euclid(2), k3_goboard5(k2_goboard2(A), k7_partfun1(k4_ordinal1, B, D), k7_partfun1(k4_ordinal1, C, D))), k4_subset_1(u1_struct_0(k15_euclid(2)), k2_goboard9(A), k3_goboard9(A)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_gobrd12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (? [B] :  (v7_ordinal1(B) &  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(B, k3_finseq_1(k2_goboard2(A))) &  (r1_xxreal_0(C, k1_matrix_0(k2_goboard2(A))) & r1_tarski(k1_tops_1(k15_euclid(2), k3_goboard5(k2_goboard2(A), B, C)), k4_subset_1(u1_struct_0(k15_euclid(2)), k2_goboard9(A), k3_goboard9(A)))) ) ) ) ) ) ) ) ).
fof(t9_gobrd12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(B, k3_finseq_1(k2_goboard2(A))) & r1_xxreal_0(C, k1_matrix_0(k2_goboard2(A))))  => r1_tarski(k1_tops_1(k15_euclid(2), k3_goboard5(k2_goboard2(A), B, C)), k4_subset_1(u1_struct_0(k15_euclid(2)), k2_goboard9(A), k3_goboard9(A)))) ) ) ) ) ) ) ).
fof(t10_gobrd12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A))=k4_subset_1(u1_struct_0(k15_euclid(2)), k2_goboard9(A), k3_goboard9(A))) ) ).
fof(t4_gobrd12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A))=k3_tarski(a_1_0_gobrd12(A))) ) ).
fof(fraenkel_a_1_0_gobrd12, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v3_funct_1(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(B) &  (v2_topreal1(B) &  (v1_goboard5(B) &  (v2_goboard5(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (r2_hidden(A, a_1_0_gobrd12(B)) <=>  (? [C, D] :  ( (v7_ordinal1(C) & v7_ordinal1(D))  &  (A=k2_pre_topc(k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, B))), k4_connsp_3(k15_euclid(2), k1_tops_1(k15_euclid(2), k3_goboard5(k2_goboard2(B), C, D)), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, B)))) &  (r1_xxreal_0(C, k3_finseq_1(k2_goboard2(B))) & r1_xxreal_0(D, k1_matrix_0(k2_goboard2(B)))) ) ) ) ) ) ) ).
fof(t8_gobrd13, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), A, B) => r1_tarski(k10_xtuple_0(A), k9_matrix_0(B))) ) ) ) ) ).
fof(t9_gobrd13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v3_relat_1(D))  &  (v1_matrix_0(D) &  (v1_goboard1(D) &  (v2_goboard1(D) &  (v3_goboard1(D) &  (v4_goboard1(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_tarski(k9_matrix_0(D), k9_matrix_0(E)) &  (r2_hidden(k4_tarski(A, B), k2_matrix_0(D)) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(E)) & k3_matrix_0(u1_struct_0(k15_euclid(2)), D, A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), E, 1, C)) ) ) )  => A=1) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_gobrd13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v3_relat_1(D))  &  (v1_matrix_0(D) &  (v1_goboard1(D) &  (v2_goboard1(D) &  (v3_goboard1(D) &  (v4_goboard1(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_tarski(k9_matrix_0(D), k9_matrix_0(E)) &  (r2_hidden(k4_tarski(A, B), k2_matrix_0(D)) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(E)) & k3_matrix_0(u1_struct_0(k15_euclid(2)), D, A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), E, k3_finseq_1(E), C)) ) ) )  => A=k3_finseq_1(D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_gobrd13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v3_relat_1(D))  &  (v1_matrix_0(D) &  (v1_goboard1(D) &  (v2_goboard1(D) &  (v3_goboard1(D) &  (v4_goboard1(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_tarski(k9_matrix_0(D), k9_matrix_0(E)) &  (r2_hidden(k4_tarski(A, C), k2_matrix_0(D)) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k3_finseq_1(E)) & k3_matrix_0(u1_struct_0(k15_euclid(2)), D, A, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), E, B, 1)) ) ) )  => C=1) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_gobrd13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v3_relat_1(D))  &  (v1_matrix_0(D) &  (v1_goboard1(D) &  (v2_goboard1(D) &  (v3_goboard1(D) &  (v4_goboard1(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_tarski(k9_matrix_0(D), k9_matrix_0(E)) &  (r2_hidden(k4_tarski(A, C), k2_matrix_0(D)) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k3_finseq_1(E)) & k3_matrix_0(u1_struct_0(k15_euclid(2)), D, A, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), E, B, k1_matrix_0(E))) ) ) )  => C=k1_matrix_0(D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_gobrd13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [F] :  ( ( ~ (v3_relat_1(F))  &  (v1_matrix_0(F) &  (v1_goboard1(F) &  (v2_goboard1(F) &  (v3_goboard1(F) &  (v4_goboard1(F) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_tarski(k9_matrix_0(E), k9_matrix_0(F)) &  (r1_xxreal_0(1, A) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(E)) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k1_matrix_0(F)) & k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), F, B, D)) ) ) ) ) ) )  =>  (r1_xxreal_0(k3_finseq_1(E), A) |  (r1_xxreal_0(k3_finseq_1(F), B) | r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), F, k1_nat_1(B, 1), D)), k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), E, k1_nat_1(A, 1), C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_gobrd13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [F] :  ( ( ~ (v3_relat_1(F))  &  (v1_matrix_0(F) &  (v1_goboard1(F) &  (v2_goboard1(F) &  (v3_goboard1(F) &  (v4_goboard1(F) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), E, k7_nat_d(A, 1), C), k9_matrix_0(F)) &  (r1_xxreal_0(A, k3_finseq_1(E)) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(E)) &  (r1_xxreal_0(B, k3_finseq_1(F)) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k1_matrix_0(F)) & k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), F, B, D)) ) ) ) ) ) )  =>  (r1_xxreal_0(A, 1) |  (r1_xxreal_0(B, 1) | r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), E, k7_nat_d(A, 1), C)), k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), F, k7_nat_d(B, 1), D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_gobrd13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [F] :  ( ( ~ (v3_relat_1(F))  &  (v1_matrix_0(F) &  (v1_goboard1(F) &  (v2_goboard1(F) &  (v3_goboard1(F) &  (v4_goboard1(F) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, k1_nat_1(C, 1)), k9_matrix_0(F)) &  (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, k3_finseq_1(E)) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k3_finseq_1(F)) &  (r1_xxreal_0(1, D) & k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), F, B, D)) ) ) ) ) ) )  =>  (r1_xxreal_0(k1_matrix_0(E), C) |  (r1_xxreal_0(k1_matrix_0(F), D) | r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), F, B, k1_nat_1(D, 1))), k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, k1_nat_1(C, 1))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_gobrd13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [F] :  ( ( ~ (v3_relat_1(F))  &  (v1_matrix_0(F) &  (v1_goboard1(F) &  (v2_goboard1(F) &  (v3_goboard1(F) &  (v4_goboard1(F) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_tarski(k9_matrix_0(E), k9_matrix_0(F)) &  (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, k3_finseq_1(E)) &  (r1_xxreal_0(C, k1_matrix_0(E)) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k3_finseq_1(F)) &  (r1_xxreal_0(D, k1_matrix_0(F)) & k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), F, B, D)) ) ) ) ) ) )  =>  (r1_xxreal_0(C, 1) |  (r1_xxreal_0(D, 1) | r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, k7_nat_d(C, 1))), k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), F, B, k7_nat_d(D, 1))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_gobrd13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [F] :  ( ( ~ (v3_relat_1(F))  &  (v1_matrix_0(F) &  (v1_goboard1(F) &  (v2_goboard1(F) &  (v3_goboard1(F) &  (v4_goboard1(F) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_tarski(k9_matrix_0(E), k9_matrix_0(F)) &  (r2_hidden(k4_tarski(A, C), k2_matrix_0(E)) &  (r2_hidden(k4_tarski(B, D), k2_matrix_0(F)) & k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), F, B, D)) ) )  => r1_tarski(k3_goboard5(F, B, D), k3_goboard5(E, A, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_gobrd13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [F] :  ( ( ~ (v3_relat_1(F))  &  (v1_matrix_0(F) &  (v1_goboard1(F) &  (v2_goboard1(F) &  (v3_goboard1(F) &  (v4_goboard1(F) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_tarski(k9_matrix_0(E), k9_matrix_0(F)) &  (r2_hidden(k4_tarski(A, C), k2_matrix_0(E)) &  (r2_hidden(k4_tarski(B, D), k2_matrix_0(F)) & k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), F, B, D)) ) )  => r1_tarski(k3_goboard5(F, k7_nat_d(B, 1), D), k3_goboard5(E, k7_nat_d(A, 1), C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_gobrd13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [F] :  ( ( ~ (v3_relat_1(F))  &  (v1_matrix_0(F) &  (v1_goboard1(F) &  (v2_goboard1(F) &  (v3_goboard1(F) &  (v4_goboard1(F) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_tarski(k9_matrix_0(E), k9_matrix_0(F)) &  (r2_hidden(k4_tarski(A, C), k2_matrix_0(E)) &  (r2_hidden(k4_tarski(B, D), k2_matrix_0(F)) & k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), F, B, D)) ) )  => r1_tarski(k3_goboard5(F, B, k7_nat_d(D, 1)), k3_goboard5(E, A, k7_nat_d(C, 1)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_gobrd13, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(B) &  (v2_topreal1(B) &  (v1_goboard5(B) &  (v2_goboard5(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) ) ) )  =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), B, A) => r1_tarski(k9_matrix_0(k2_goboard2(B)), k9_matrix_0(A))) ) ) ) ) ).
fof(d2_gobrd13, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(A)) & r1_goboard1(u1_struct_0(k15_euclid(2)), A, B)) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (D=k1_gobrd13(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (v7_ordinal1(H) =>  ~ ( (r2_hidden(k4_tarski(E, F), k2_matrix_0(B)) &  (r2_hidden(k4_tarski(G, H), k2_matrix_0(B)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, E, F) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, G, H) &  ( ~ ( (E=G &  (k1_nat_1(F, 1)=H & D=k3_goboard5(B, E, F)) ) )  &  ( ~ ( (k1_nat_1(E, 1)=G &  (F=H & D=k3_goboard5(B, E, k7_nat_d(F, 1))) ) )  &  ( ~ ( (E=k1_nat_1(G, 1) &  (F=H & D=k3_goboard5(B, G, H)) ) )  &  ~ ( (E=G &  (F=k1_nat_1(H, 1) & D=k3_goboard5(B, k7_nat_d(E, 1), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_gobrd13, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(A)) & r1_goboard1(u1_struct_0(k15_euclid(2)), A, B)) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (D=k2_gobrd13(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (v7_ordinal1(H) =>  ~ ( (r2_hidden(k4_tarski(E, F), k2_matrix_0(B)) &  (r2_hidden(k4_tarski(G, H), k2_matrix_0(B)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, E, F) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, G, H) &  ( ~ ( (E=G &  (k1_nat_1(F, 1)=H & D=k3_goboard5(B, k7_nat_d(E, 1), F)) ) )  &  ( ~ ( (k1_nat_1(E, 1)=G &  (F=H & D=k3_goboard5(B, E, F)) ) )  &  ( ~ ( (E=k1_nat_1(G, 1) &  (F=H & D=k3_goboard5(B, G, k7_nat_d(H, 1))) ) )  &  ~ ( (E=G &  (F=k1_nat_1(H, 1) & D=k3_goboard5(B, E, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_gobrd13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(D)) &  (r1_goboard1(u1_struct_0(k15_euclid(2)), D, E) &  (r2_hidden(k4_tarski(A, B), k2_matrix_0(E)) &  (r2_hidden(k4_tarski(A, k1_nat_1(B, 1)), k2_matrix_0(E)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, B) & k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, k1_nat_1(B, 1))) ) ) ) ) )  => k2_gobrd13(D, E, C)=k3_goboard5(E, k7_nat_d(A, 1), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_gobrd13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(D)) &  (r1_goboard1(u1_struct_0(k15_euclid(2)), D, E) &  (r2_hidden(k4_tarski(A, B), k2_matrix_0(E)) &  (r2_hidden(k4_tarski(A, k1_nat_1(B, 1)), k2_matrix_0(E)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, B) & k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, k1_nat_1(B, 1))) ) ) ) ) )  => k1_gobrd13(D, E, C)=k3_goboard5(E, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_gobrd13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(D)) &  (r1_goboard1(u1_struct_0(k15_euclid(2)), D, E) &  (r2_hidden(k4_tarski(A, B), k2_matrix_0(E)) &  (r2_hidden(k4_tarski(k1_nat_1(A, 1), B), k2_matrix_0(E)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, B) & k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), E, k1_nat_1(A, 1), B)) ) ) ) ) )  => k2_gobrd13(D, E, C)=k3_goboard5(E, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_gobrd13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(D)) &  (r1_goboard1(u1_struct_0(k15_euclid(2)), D, E) &  (r2_hidden(k4_tarski(A, B), k2_matrix_0(E)) &  (r2_hidden(k4_tarski(k1_nat_1(A, 1), B), k2_matrix_0(E)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, B) & k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), E, k1_nat_1(A, 1), B)) ) ) ) ) )  => k1_gobrd13(D, E, C)=k3_goboard5(E, A, k7_nat_d(B, 1))) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_gobrd13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(D)) &  (r1_goboard1(u1_struct_0(k15_euclid(2)), D, E) &  (r2_hidden(k4_tarski(A, B), k2_matrix_0(E)) &  (r2_hidden(k4_tarski(k1_nat_1(A, 1), B), k2_matrix_0(E)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), E, k1_nat_1(A, 1), B) & k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, B)) ) ) ) ) )  => k2_gobrd13(D, E, C)=k3_goboard5(E, A, k7_nat_d(B, 1))) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_gobrd13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(D)) &  (r1_goboard1(u1_struct_0(k15_euclid(2)), D, E) &  (r2_hidden(k4_tarski(A, B), k2_matrix_0(E)) &  (r2_hidden(k4_tarski(k1_nat_1(A, 1), B), k2_matrix_0(E)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), E, k1_nat_1(A, 1), B) & k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, B)) ) ) ) ) )  => k1_gobrd13(D, E, C)=k3_goboard5(E, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_gobrd13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(D)) &  (r1_goboard1(u1_struct_0(k15_euclid(2)), D, E) &  (r2_hidden(k4_tarski(A, k1_nat_1(B, 1)), k2_matrix_0(E)) &  (r2_hidden(k4_tarski(A, B), k2_matrix_0(E)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, k1_nat_1(B, 1)) & k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, B)) ) ) ) ) )  => k2_gobrd13(D, E, C)=k3_goboard5(E, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_gobrd13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(D)) &  (r1_goboard1(u1_struct_0(k15_euclid(2)), D, E) &  (r2_hidden(k4_tarski(A, k1_nat_1(B, 1)), k2_matrix_0(E)) &  (r2_hidden(k4_tarski(A, B), k2_matrix_0(E)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, k1_nat_1(B, 1)) & k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, B)) ) ) ) ) )  => k1_gobrd13(D, E, C)=k3_goboard5(E, k7_nat_d(A, 1), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_gobrd13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(B)) & r1_goboard1(u1_struct_0(k15_euclid(2)), B, C)) )  => k9_subset_1(u1_struct_0(k15_euclid(2)), k2_gobrd13(B, C, A), k1_gobrd13(B, C, A))=k2_topreal1(2, B, A)) ) ) ) ) ) ) ).
fof(t30_gobrd13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(B)) & r1_goboard1(u1_struct_0(k15_euclid(2)), B, C)) )  => v4_pre_topc(k1_gobrd13(B, C, A), k15_euclid(2))) ) ) ) ) ) ) ).
fof(t31_gobrd13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  ( ( ~ (v3_relat_1(D))  &  (v1_matrix_0(D) &  (v1_goboard1(D) &  (v2_goboard1(D) &  (v3_goboard1(D) &  (v4_goboard1(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(C)) &  (r1_goboard1(u1_struct_0(k15_euclid(2)), C, D) & r1_xxreal_0(k1_nat_1(A, 1), B)) ) )  =>  (k2_gobrd13(C, D, A)=k2_gobrd13(k17_finseq_1(u1_struct_0(k15_euclid(2)), B, C), D, A) & k1_gobrd13(C, D, A)=k1_gobrd13(k17_finseq_1(u1_struct_0(k15_euclid(2)), B, C), D, A)) ) ) ) ) ) ) ) ) ) ).
fof(t32_gobrd13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  ( ( ~ (v3_relat_1(D))  &  (v1_matrix_0(D) &  (v1_goboard1(D) &  (v2_goboard1(D) &  (v3_goboard1(D) &  (v4_goboard1(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(k2_rfinseq(u1_struct_0(k15_euclid(2)), B, C))) &  (r1_xxreal_0(B, k3_finseq_1(C)) & r1_goboard1(u1_struct_0(k15_euclid(2)), C, D)) ) )  =>  (k2_gobrd13(C, D, k2_xcmplx_0(A, B))=k2_gobrd13(k2_rfinseq(u1_struct_0(k15_euclid(2)), B, C), D, A) & k1_gobrd13(C, D, k2_xcmplx_0(A, B))=k1_gobrd13(k2_rfinseq(u1_struct_0(k15_euclid(2)), B, C), D, A)) ) ) ) ) ) ) ) ) ) ).
fof(t33_gobrd13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_finseq_6(C, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(C) &  (v2_topreal1(C) &  (v1_goboard5(C) &  (v2_goboard5(C) & m2_finseq_1(C, u1_struct_0(k15_euclid(2)))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(C)) & r1_goboard1(u1_struct_0(k15_euclid(2)), C, B)) )  =>  (r1_tarski(k2_gobrd13(C, B, A), k5_goboard5(C, A)) & r1_tarski(k1_gobrd13(C, B, A), k4_goboard5(C, A))) ) ) ) ) ) ) ) ).
fof(d4_gobrd13, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(A)) & r1_goboard1(u1_struct_0(k15_euclid(2)), A, B)) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (D=k3_gobrd13(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (v7_ordinal1(H) =>  ~ ( (r2_hidden(k4_tarski(E, F), k2_matrix_0(B)) &  (r2_hidden(k4_tarski(G, H), k2_matrix_0(B)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, E, F) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, G, H) &  ( ~ ( (E=G &  (k1_nat_1(F, 1)=H & D=k3_goboard5(B, G, H)) ) )  &  ( ~ ( (k1_nat_1(E, 1)=G &  (F=H & D=k3_goboard5(B, G, k7_nat_d(H, 1))) ) )  &  ( ~ ( (E=k1_nat_1(G, 1) &  (F=H & D=k3_goboard5(B, k7_nat_d(G, 1), H)) ) )  &  ~ ( (E=G &  (F=k1_nat_1(H, 1) & D=k3_goboard5(B, k7_nat_d(G, 1), k7_nat_d(H, 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_gobrd13, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(A)) & r1_goboard1(u1_struct_0(k15_euclid(2)), A, B)) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (D=k4_gobrd13(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (v7_ordinal1(H) =>  ~ ( (r2_hidden(k4_tarski(E, F), k2_matrix_0(B)) &  (r2_hidden(k4_tarski(G, H), k2_matrix_0(B)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, E, F) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, G, H) &  ( ~ ( (E=G &  (k1_nat_1(F, 1)=H & D=k3_goboard5(B, k7_nat_d(G, 1), H)) ) )  &  ( ~ ( (k1_nat_1(E, 1)=G &  (F=H & D=k3_goboard5(B, G, H)) ) )  &  ( ~ ( (E=k1_nat_1(G, 1) &  (F=H & D=k3_goboard5(B, k7_nat_d(G, 1), k7_nat_d(H, 1))) ) )  &  ~ ( (E=G &  (F=k1_nat_1(H, 1) & D=k3_goboard5(B, G, k7_nat_d(H, 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_gobrd13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(D)) &  (r1_goboard1(u1_struct_0(k15_euclid(2)), D, E) &  (r2_hidden(k4_tarski(A, B), k2_matrix_0(E)) &  (r2_hidden(k4_tarski(A, k1_nat_1(B, 1)), k2_matrix_0(E)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, B) & k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, k1_nat_1(B, 1))) ) ) ) ) )  => k4_gobrd13(D, E, C)=k3_goboard5(E, k7_nat_d(A, 1), k1_nat_1(B, 1))) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_gobrd13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(D)) &  (r1_goboard1(u1_struct_0(k15_euclid(2)), D, E) &  (r2_hidden(k4_tarski(A, B), k2_matrix_0(E)) &  (r2_hidden(k4_tarski(A, k1_nat_1(B, 1)), k2_matrix_0(E)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, B) & k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, k1_nat_1(B, 1))) ) ) ) ) )  => k3_gobrd13(D, E, C)=k3_goboard5(E, A, k1_nat_1(B, 1))) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_gobrd13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(D)) &  (r1_goboard1(u1_struct_0(k15_euclid(2)), D, E) &  (r2_hidden(k4_tarski(A, B), k2_matrix_0(E)) &  (r2_hidden(k4_tarski(k1_nat_1(A, 1), B), k2_matrix_0(E)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, B) & k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), E, k1_nat_1(A, 1), B)) ) ) ) ) )  => k4_gobrd13(D, E, C)=k3_goboard5(E, k1_nat_1(A, 1), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_gobrd13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(D)) &  (r1_goboard1(u1_struct_0(k15_euclid(2)), D, E) &  (r2_hidden(k4_tarski(A, B), k2_matrix_0(E)) &  (r2_hidden(k4_tarski(k1_nat_1(A, 1), B), k2_matrix_0(E)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, B) & k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), E, k1_nat_1(A, 1), B)) ) ) ) ) )  => k3_gobrd13(D, E, C)=k3_goboard5(E, k1_nat_1(A, 1), k7_nat_d(B, 1))) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_gobrd13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(D)) &  (r1_goboard1(u1_struct_0(k15_euclid(2)), D, E) &  (r2_hidden(k4_tarski(A, B), k2_matrix_0(E)) &  (r2_hidden(k4_tarski(k1_nat_1(A, 1), B), k2_matrix_0(E)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), E, k1_nat_1(A, 1), B) & k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, B)) ) ) ) ) )  => k4_gobrd13(D, E, C)=k3_goboard5(E, k7_nat_d(A, 1), k7_nat_d(B, 1))) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_gobrd13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(D)) &  (r1_goboard1(u1_struct_0(k15_euclid(2)), D, E) &  (r2_hidden(k4_tarski(A, B), k2_matrix_0(E)) &  (r2_hidden(k4_tarski(k1_nat_1(A, 1), B), k2_matrix_0(E)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), E, k1_nat_1(A, 1), B) & k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, B)) ) ) ) ) )  => k3_gobrd13(D, E, C)=k3_goboard5(E, k7_nat_d(A, 1), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_gobrd13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(D)) &  (r1_goboard1(u1_struct_0(k15_euclid(2)), D, E) &  (r2_hidden(k4_tarski(A, k1_nat_1(B, 1)), k2_matrix_0(E)) &  (r2_hidden(k4_tarski(A, B), k2_matrix_0(E)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, k1_nat_1(B, 1)) & k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, B)) ) ) ) ) )  => k4_gobrd13(D, E, C)=k3_goboard5(E, A, k7_nat_d(B, 1))) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_gobrd13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(D)) &  (r1_goboard1(u1_struct_0(k15_euclid(2)), D, E) &  (r2_hidden(k4_tarski(A, k1_nat_1(B, 1)), k2_matrix_0(E)) &  (r2_hidden(k4_tarski(A, B), k2_matrix_0(E)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), D, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, k1_nat_1(B, 1)) & k7_partfun1(u1_struct_0(k15_euclid(2)), D, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, B)) ) ) ) ) )  => k3_gobrd13(D, E, C)=k3_goboard5(E, k7_nat_d(A, 1), k7_nat_d(B, 1))) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_gobrd13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  ( ( ~ (v3_relat_1(D))  &  (v1_matrix_0(D) &  (v1_goboard1(D) &  (v2_goboard1(D) &  (v3_goboard1(D) &  (v4_goboard1(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(C)) &  (r1_goboard1(u1_struct_0(k15_euclid(2)), C, D) & r1_xxreal_0(k1_nat_1(A, 1), B)) ) )  =>  (k4_gobrd13(C, D, A)=k4_gobrd13(k17_finseq_1(u1_struct_0(k15_euclid(2)), B, C), D, A) & k3_gobrd13(C, D, A)=k3_gobrd13(k17_finseq_1(u1_struct_0(k15_euclid(2)), B, C), D, A)) ) ) ) ) ) ) ) ) ) ).
fof(d6_gobrd13, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(A)))  =>  (! [D] :  (v7_ordinal1(D) =>  (r1_gobrd13(A, B, C, D) <=>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (v7_ordinal1(H) =>  ~ ( (r2_hidden(k4_tarski(E, F), k2_matrix_0(C)) &  (r2_hidden(k4_tarski(G, H), k2_matrix_0(C)) &  (k7_partfun1(A, B, D)=k3_matrix_0(A, C, E, F) &  (k7_partfun1(A, B, k1_nat_1(D, 1))=k3_matrix_0(A, C, G, H) &  ( ~ ( (E=G &  (k1_nat_1(F, 1)=H &  (r2_hidden(k4_tarski(k1_nat_1(G, 1), H), k2_matrix_0(C)) & k7_partfun1(A, B, k1_nat_1(D, 2))=k3_matrix_0(A, C, k1_nat_1(G, 1), H)) ) ) )  &  ( ~ ( (k1_nat_1(E, 1)=G &  (F=H &  (r2_hidden(k4_tarski(G, k7_nat_d(H, 1)), k2_matrix_0(C)) & k7_partfun1(A, B, k1_nat_1(D, 2))=k3_matrix_0(A, C, G, k7_nat_d(H, 1))) ) ) )  &  ( ~ ( (E=k1_nat_1(G, 1) &  (F=H &  (r2_hidden(k4_tarski(G, k1_nat_1(H, 1)), k2_matrix_0(C)) & k7_partfun1(A, B, k1_nat_1(D, 2))=k3_matrix_0(A, C, G, k1_nat_1(H, 1))) ) ) )  &  ~ ( (E=G &  (F=k1_nat_1(H, 1) &  (r2_hidden(k4_tarski(k7_nat_d(G, 1), H), k2_matrix_0(C)) & k7_partfun1(A, B, k1_nat_1(D, 2))=k3_matrix_0(A, C, k7_nat_d(G, 1), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_gobrd13, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(A)))  =>  (! [D] :  (v7_ordinal1(D) =>  (r2_gobrd13(A, B, C, D) <=>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (v7_ordinal1(H) =>  ~ ( (r2_hidden(k4_tarski(E, F), k2_matrix_0(C)) &  (r2_hidden(k4_tarski(G, H), k2_matrix_0(C)) &  (k7_partfun1(A, B, D)=k3_matrix_0(A, C, E, F) &  (k7_partfun1(A, B, k1_nat_1(D, 1))=k3_matrix_0(A, C, G, H) &  ( ~ ( (E=G &  (k1_nat_1(F, 1)=H &  (r2_hidden(k4_tarski(k7_nat_d(G, 1), H), k2_matrix_0(C)) & k7_partfun1(A, B, k1_nat_1(D, 2))=k3_matrix_0(A, C, k7_nat_d(G, 1), H)) ) ) )  &  ( ~ ( (k1_nat_1(E, 1)=G &  (F=H &  (r2_hidden(k4_tarski(G, k1_nat_1(H, 1)), k2_matrix_0(C)) & k7_partfun1(A, B, k1_nat_1(D, 2))=k3_matrix_0(A, C, G, k1_nat_1(H, 1))) ) ) )  &  ( ~ ( (E=k1_nat_1(G, 1) &  (F=H &  (r2_hidden(k4_tarski(G, k7_nat_d(H, 1)), k2_matrix_0(C)) & k7_partfun1(A, B, k1_nat_1(D, 2))=k3_matrix_0(A, C, G, k7_nat_d(H, 1))) ) ) )  &  ~ ( (E=G &  (F=k1_nat_1(H, 1) &  (r2_hidden(k4_tarski(k1_nat_1(G, 1), H), k2_matrix_0(C)) & k7_partfun1(A, B, k1_nat_1(D, 2))=k3_matrix_0(A, C, k1_nat_1(G, 1), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_gobrd13, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(A)))  =>  (! [D] :  (v7_ordinal1(D) =>  (r3_gobrd13(A, B, C, D) <=>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (v7_ordinal1(H) =>  ~ ( (r2_hidden(k4_tarski(E, F), k2_matrix_0(C)) &  (r2_hidden(k4_tarski(G, H), k2_matrix_0(C)) &  (k7_partfun1(A, B, D)=k3_matrix_0(A, C, E, F) &  (k7_partfun1(A, B, k1_nat_1(D, 1))=k3_matrix_0(A, C, G, H) &  ( ~ ( (E=G &  (k1_nat_1(F, 1)=H &  (r2_hidden(k4_tarski(G, k1_nat_1(H, 1)), k2_matrix_0(C)) & k7_partfun1(A, B, k1_nat_1(D, 2))=k3_matrix_0(A, C, G, k1_nat_1(H, 1))) ) ) )  &  ( ~ ( (k1_nat_1(E, 1)=G &  (F=H &  (r2_hidden(k4_tarski(k1_nat_1(G, 1), H), k2_matrix_0(C)) & k7_partfun1(A, B, k1_nat_1(D, 2))=k3_matrix_0(A, C, k1_nat_1(G, 1), H)) ) ) )  &  ( ~ ( (E=k1_nat_1(G, 1) &  (F=H &  (r2_hidden(k4_tarski(k7_nat_d(G, 1), H), k2_matrix_0(C)) & k7_partfun1(A, B, k1_nat_1(D, 2))=k3_matrix_0(A, C, k7_nat_d(G, 1), H)) ) ) )  &  ~ ( (E=G &  (F=k1_nat_1(H, 1) &  (r2_hidden(k4_tarski(G, k7_nat_d(H, 1)), k2_matrix_0(C)) & k7_partfun1(A, B, k1_nat_1(D, 2))=k3_matrix_0(A, C, G, k7_nat_d(H, 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_gobrd13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (! [D] :  (m2_finseq_1(D, C) =>  (! [E] :  ( (v1_matrix_0(E) & m2_finseq_1(E, k3_finseq_2(C)))  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 2), B) & r1_gobrd13(C, k17_finseq_1(C, B, D), E, A)) )  => r1_gobrd13(C, D, E, A)) ) ) ) ) ) ) ) ) ) ).
fof(t44_gobrd13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (! [D] :  (m2_finseq_1(D, C) =>  (! [E] :  ( (v1_matrix_0(E) & m2_finseq_1(E, k3_finseq_2(C)))  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 2), B) & r2_gobrd13(C, k17_finseq_1(C, B, D), E, A)) )  => r2_gobrd13(C, D, E, A)) ) ) ) ) ) ) ) ) ) ).
fof(t45_gobrd13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (! [D] :  (m2_finseq_1(D, C) =>  (! [E] :  ( (v1_matrix_0(E) & m2_finseq_1(E, k3_finseq_2(C)))  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 2), B) & r3_gobrd13(C, k17_finseq_1(C, B, D), E, A)) )  => r3_gobrd13(C, D, E, A)) ) ) ) ) ) ) ) ) ) ).
fof(t46_gobrd13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  (m2_finseq_1(C, B) =>  (! [D] :  (m2_finseq_1(D, B) =>  (! [E] :  ( (v1_matrix_0(E) & m2_finseq_1(E, k3_finseq_2(B)))  =>  ( (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(C)) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(D)) &  (r1_goboard1(B, C, E) &  (k17_finseq_1(B, A, C)=k17_finseq_1(B, A, D) &  (r1_gobrd13(B, C, E, k7_nat_d(A, 1)) & r1_gobrd13(B, D, E, k7_nat_d(A, 1))) ) ) ) )  =>  (r1_xxreal_0(A, 1) | k17_finseq_1(B, k1_nat_1(A, 1), C)=k17_finseq_1(B, k1_nat_1(A, 1), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_gobrd13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  (m2_finseq_1(C, B) =>  (! [D] :  (m2_finseq_1(D, B) =>  (! [E] :  ( (v1_matrix_0(E) & m2_finseq_1(E, k3_finseq_2(B)))  =>  ( (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(C)) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(D)) &  (r1_goboard1(B, C, E) &  (k17_finseq_1(B, A, C)=k17_finseq_1(B, A, D) &  (r2_gobrd13(B, C, E, k7_nat_d(A, 1)) & r2_gobrd13(B, D, E, k7_nat_d(A, 1))) ) ) ) )  =>  (r1_xxreal_0(A, 1) | k17_finseq_1(B, k1_nat_1(A, 1), C)=k17_finseq_1(B, k1_nat_1(A, 1), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_gobrd13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  (m2_finseq_1(C, B) =>  (! [D] :  (m2_finseq_1(D, B) =>  (! [E] :  ( (v1_matrix_0(E) & m2_finseq_1(E, k3_finseq_2(B)))  =>  ( (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(C)) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(D)) &  (r1_goboard1(B, C, E) &  (k17_finseq_1(B, A, C)=k17_finseq_1(B, A, D) &  (r3_gobrd13(B, C, E, k7_nat_d(A, 1)) & r3_gobrd13(B, D, E, k7_nat_d(A, 1))) ) ) ) )  =>  (r1_xxreal_0(A, 1) | k17_finseq_1(B, k1_nat_1(A, 1), C)=k17_finseq_1(B, k1_nat_1(A, 1), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_gobrd13, axiom,  (! [A, B, C] :  ( (m1_finseq_1(A, u1_struct_0(k15_euclid(2))) &  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m1_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  & v7_ordinal1(C)) )  => m1_subset_1(k1_gobrd13(A, B, C), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k2_gobrd13, axiom,  (! [A, B, C] :  ( (m1_finseq_1(A, u1_struct_0(k15_euclid(2))) &  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m1_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  & v7_ordinal1(C)) )  => m1_subset_1(k2_gobrd13(A, B, C), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k3_gobrd13, axiom,  (! [A, B, C] :  ( (m1_finseq_1(A, u1_struct_0(k15_euclid(2))) &  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m1_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  & v7_ordinal1(C)) )  => m1_subset_1(k3_gobrd13(A, B, C), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k4_gobrd13, axiom,  (! [A, B, C] :  ( (m1_finseq_1(A, u1_struct_0(k15_euclid(2))) &  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m1_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  & v7_ordinal1(C)) )  => m1_subset_1(k4_gobrd13(A, B, C), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(fc1_gobrd14, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => v1_jordan1(k3_topreal1(2, A))) ) ).
fof(t1_gobrd14, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_euclid(2))) =>  ~ ( (C=k16_euclid(2) &  (r2_jordan2c(2, k3_topreal1(2, A), B) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  & r1_tarski(k3_subset_1(u1_struct_0(k14_euclid(2)), k8_metric_1(k14_euclid(2), C, D)), B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_gobrd14, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(A))) =>  ( ~ (k3_topreal1(A, B)=k1_xboole_0)  => r1_xxreal_0(2, k3_finseq_1(B))) ) ) ) ) ).
fof(t3_gobrd14, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(1, B))  =>  (r1_xxreal_0(k3_finseq_1(C), A) |  (r1_xxreal_0(k1_matrix_0(C), B) | k3_goboard5(C, A, B)=k4_card_3(k7_funct_4(k1_zfmisc_1(k1_numbers), 1, 2, k1_rcomp_1(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, 1)), k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), 1))), k1_rcomp_1(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, 1, B)), k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, 1, k1_nat_1(B, 1))))))) ) ) ) ) ) ) ) ) ).
fof(t4_gobrd14, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(1, B))  =>  (r1_xxreal_0(k3_finseq_1(C), A) |  (r1_xxreal_0(k1_matrix_0(C), B) | v2_compts_1(k3_goboard5(C, A, B), k15_euclid(2))) ) ) ) ) ) ) ) ) ).
fof(t5_gobrd14, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v3_relat_1(D))  &  (v1_matrix_0(D) &  (v1_goboard1(D) &  (v2_goboard1(D) &  (v3_goboard1(D) &  (v4_goboard1(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r2_hidden(k4_tarski(A, B), k2_matrix_0(D)) & r2_hidden(k4_tarski(k2_xcmplx_0(A, C), B), k2_matrix_0(D)))  => k1_topreal6(2, k3_matrix_0(u1_struct_0(k15_euclid(2)), D, A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), D, k2_xcmplx_0(A, C), B))=k6_xcmplx_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), D, k2_xcmplx_0(A, C), B)), k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), D, A, B)))) ) ) ) ) ) ) ) ) ).
fof(t6_gobrd14, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v3_relat_1(D))  &  (v1_matrix_0(D) &  (v1_goboard1(D) &  (v2_goboard1(D) &  (v3_goboard1(D) &  (v4_goboard1(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r2_hidden(k4_tarski(A, B), k2_matrix_0(D)) & r2_hidden(k4_tarski(A, k2_xcmplx_0(B, C)), k2_matrix_0(D)))  => k1_topreal6(2, k3_matrix_0(u1_struct_0(k15_euclid(2)), D, A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), D, A, k2_xcmplx_0(B, C)))=k6_xcmplx_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), D, A, k2_xcmplx_0(B, C))), k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), D, A, B)))) ) ) ) ) ) ) ) ) ).
fof(t7_gobrd14, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  => r1_xxreal_0(3, k7_nat_d(k3_finseq_1(k1_jordan8(B, A)), 1))) ) ) ) ).
fof(t8_gobrd14, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v2_compts_1(C, k15_euclid(2)) &  ( ~ (v1_sppol_1(C))  &  ( ~ (v2_sppol_1(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (r1_xxreal_0(A, B) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(2, D) &  (r1_xxreal_0(D, k6_xcmplx_0(k3_finseq_1(k1_jordan8(C, A)), 1)) &  (r1_xxreal_0(2, E) &  (r1_xxreal_0(E, k6_xcmplx_0(k3_finseq_1(k1_jordan8(C, A)), 1)) &  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ~ ( (r1_xxreal_0(2, F) &  (r1_xxreal_0(F, k6_xcmplx_0(k3_finseq_1(k1_jordan8(C, B)), 1)) &  (r1_xxreal_0(2, G) &  (r1_xxreal_0(G, k6_xcmplx_0(k3_finseq_1(k1_jordan8(C, B)), 1)) &  (r2_hidden(k4_tarski(F, G), k2_matrix_0(k1_jordan8(C, B))) &  (k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(C, A), D, E)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(C, B), F, G) &  (F=k1_nat_1(2, k2_nat_1(k11_newton(2, k7_nat_d(B, A)), k7_nat_d(D, 2))) & G=k1_nat_1(2, k2_nat_1(k11_newton(2, k7_nat_d(B, A)), k7_nat_d(E, 2)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_gobrd14, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v2_compts_1(D, k15_euclid(2)) &  ( ~ (v1_sppol_1(D))  &  ( ~ (v2_sppol_1(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  ( (r2_hidden(k4_tarski(A, B), k2_matrix_0(k1_jordan8(D, C))) & r2_hidden(k4_tarski(A, k1_nat_1(B, 1)), k2_matrix_0(k1_jordan8(D, C))))  => k1_topreal6(2, k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(D, C), A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(D, C), A, k1_nat_1(B, 1)))=k7_xcmplx_0(k6_xcmplx_0(k7_pscomp_1(D), k9_pscomp_1(D)), k1_newton(2, C))) ) ) ) ) ) ) ) ) ).
fof(t10_gobrd14, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v2_compts_1(D, k15_euclid(2)) &  ( ~ (v1_sppol_1(D))  &  ( ~ (v2_sppol_1(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  ( (r2_hidden(k4_tarski(A, B), k2_matrix_0(k1_jordan8(D, C))) & r2_hidden(k4_tarski(k1_nat_1(A, 1), B), k2_matrix_0(k1_jordan8(D, C))))  => k1_topreal6(2, k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(D, C), A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(D, C), k1_nat_1(A, 1), B))=k7_xcmplx_0(k6_xcmplx_0(k8_pscomp_1(D), k6_pscomp_1(D)), k1_newton(2, C))) ) ) ) ) ) ) ) ) ).
fof(t11_gobrd14, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) =>  ~ ( ( ~ (r1_xxreal_0(D, 1))  &  ( ~ (r1_xxreal_0(B, k1_topreal6(2, k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, D), 1, 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, D), 1, 2))))  &  ~ (r1_xxreal_0(C, k1_topreal6(2, k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, D), 1, 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, D), 2, 1)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_gobrd14, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A)))))) =>  ~ ( (v3_connsp_1(B, k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A)))) &  ( ~ (B=k3_goboard9(A))  &  ~ (B=k2_goboard9(A)) ) ) ) ) ) ) ) ).
fof(t13_gobrd14, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( (k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A))=k4_subset_1(u1_struct_0(k15_euclid(2)), B, C) &  (r1_xboole_0(B, C) &  ( (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A)))))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A)))))) =>  ( (D=B & E=C)  =>  (v3_connsp_1(D, k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A)))) & v3_connsp_1(E, k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A))))) ) ) ) ) )  &  ( ~ ( (B=k3_goboard9(A) & C=k2_goboard9(A)) )  &  ~ ( (B=k2_goboard9(A) & C=k3_goboard9(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_gobrd14, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => r1_subset_1(k2_goboard9(A), k3_goboard9(A))) ) ).
fof(t15_gobrd14, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => k4_subset_1(u1_struct_0(k15_euclid(2)), k4_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A), k3_goboard9(A)), k2_goboard9(A))=u1_struct_0(k15_euclid(2))) ) ).
fof(t16_gobrd14, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k3_topreal1(2, A)) <=>  ( ~ (r2_tarski(B, k2_goboard9(A)))  &  ~ (r2_tarski(B, k3_goboard9(A))) ) ) ) ) ) ) ).
fof(t17_gobrd14, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k2_goboard9(A)) <=>  ( ~ (r2_tarski(B, k3_topreal1(2, A)))  &  ~ (r2_tarski(B, k3_goboard9(A))) ) ) ) ) ) ) ).
fof(t18_gobrd14, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k3_goboard9(A)) <=>  ( ~ (r2_tarski(B, k3_topreal1(2, A)))  &  ~ (r2_tarski(B, k2_goboard9(A))) ) ) ) ) ) ) ).
fof(t19_gobrd14, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => k3_topreal1(2, A)=k7_subset_1(u1_struct_0(k15_euclid(2)), k2_pre_topc(k15_euclid(2), k3_goboard9(A)), k3_goboard9(A))) ) ).
fof(t20_gobrd14, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => k3_topreal1(2, A)=k7_subset_1(u1_struct_0(k15_euclid(2)), k2_pre_topc(k15_euclid(2), k2_goboard9(A)), k2_goboard9(A))) ) ).
fof(t21_gobrd14, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => k2_pre_topc(k15_euclid(2), k3_goboard9(A))=k4_subset_1(u1_struct_0(k15_euclid(2)), k3_goboard9(A), k3_topreal1(2, A))) ) ).
fof(t22_gobrd14, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => k2_pre_topc(k15_euclid(2), k2_goboard9(A))=k4_subset_1(u1_struct_0(k15_euclid(2)), k2_goboard9(A), k3_topreal1(2, A))) ) ).
fof(t23_gobrd14, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v3_funct_1(B))  &  ( ~ (v1_xboole_0(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(B) &  (v2_topreal1(B) &  (v1_goboard5(B) &  (v2_goboard5(B) &  (v1_sprect_2(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  =>  ~ ( (r2_tarski(A, k3_goboard9(B)) & r1_xxreal_0(k17_euclid(A), k6_pscomp_1(k3_topreal1(2, B)))) ) ) ) ) ) ).
fof(t24_gobrd14, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v3_funct_1(B))  &  ( ~ (v1_xboole_0(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(B) &  (v2_topreal1(B) &  (v1_goboard5(B) &  (v2_goboard5(B) &  (v1_sprect_2(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  =>  ~ ( (r2_tarski(A, k3_goboard9(B)) & r1_xxreal_0(k8_pscomp_1(k3_topreal1(2, B)), k17_euclid(A))) ) ) ) ) ) ).
fof(t25_gobrd14, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v3_funct_1(B))  &  ( ~ (v1_xboole_0(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(B) &  (v2_topreal1(B) &  (v1_goboard5(B) &  (v2_goboard5(B) &  (v1_sprect_2(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  =>  ~ ( (r2_tarski(A, k3_goboard9(B)) & r1_xxreal_0(k7_pscomp_1(k3_topreal1(2, B)), k18_euclid(A))) ) ) ) ) ) ).
fof(t26_gobrd14, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v3_funct_1(B))  &  ( ~ (v1_xboole_0(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(B) &  (v2_topreal1(B) &  (v1_goboard5(B) &  (v2_goboard5(B) &  (v1_sprect_2(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  =>  ~ ( (r2_tarski(A, k3_goboard9(B)) & r1_xxreal_0(k18_euclid(A), k9_pscomp_1(k3_topreal1(2, B)))) ) ) ) ) ) ).
fof(t27_gobrd14, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( ( ~ (v3_funct_1(C))  &  ( ~ (v1_xboole_0(C))  &  (v1_finseq_6(C, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(C) &  (v2_topreal1(C) &  (v1_goboard5(C) &  (v2_goboard5(C) &  (v1_sprect_2(C) & m2_finseq_1(C, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  =>  ~ ( (r2_tarski(A, k3_goboard9(C)) &  (r2_tarski(B, k2_goboard9(C)) & r1_xboole_0(k1_rltopsp1(k15_euclid(2), A, B), k3_topreal1(2, C))) ) ) ) ) ) ) ) ) ).
fof(t28_gobrd14, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  => k2_pre_topc(k15_euclid(2), k3_goboard9(k1_sprect_1(A)))=k4_card_3(k7_funct_4(k1_zfmisc_1(k1_numbers), 1, 2, k1_rcomp_1(k6_pscomp_1(k3_topreal1(2, k1_sprect_1(A))), k8_pscomp_1(k3_topreal1(2, k1_sprect_1(A)))), k1_rcomp_1(k9_pscomp_1(k3_topreal1(2, k1_sprect_1(A))), k7_pscomp_1(k3_topreal1(2, k1_sprect_1(A))))))) ) ).
fof(t29_gobrd14, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  => k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k4_pscomp_1, k2_pre_topc(k15_euclid(2), k3_goboard9(A)))=k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k4_pscomp_1, k3_topreal1(2, A))) ) ).
fof(t30_gobrd14, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  => k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k2_pre_topc(k15_euclid(2), k3_goboard9(A)))=k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k3_topreal1(2, A))) ) ).
fof(t31_gobrd14, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  => r1_tarski(k3_goboard9(A), k3_goboard9(k1_sprect_1(k3_topreal1(2, A))))) ) ).
fof(t32_gobrd14, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  => v2_compts_1(k2_pre_topc(k15_euclid(2), k3_goboard9(A)), k15_euclid(2))) ) ).
fof(t33_gobrd14, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  =>  ~ (v9_rltopsp1(k2_goboard9(A), k15_euclid(2))) ) ) ).
fof(t34_gobrd14, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  => r2_jordan2c(2, k3_topreal1(2, A), k2_goboard9(A))) ) ).
fof(t35_gobrd14, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  => r1_jordan2c(2, k3_topreal1(2, A), k3_goboard9(A))) ) ).
fof(t36_gobrd14, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  => k2_jordan2c(2, k3_topreal1(2, A))=k2_goboard9(A)) ) ).
fof(t37_gobrd14, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  => k1_jordan2c(2, k3_topreal1(2, A))=k3_goboard9(A)) ) ).
fof(t38_gobrd14, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (r2_jordan2c(2, k3_topreal1(2, A), B) => B=k2_goboard9(A)) ) ) ) ) ).
fof(t39_gobrd14, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( (r1_jordan2c(2, k3_topreal1(2, A), B) & r1_xboole_0(B, k3_goboard9(A))) ) ) ) ) ) ).
fof(t40_gobrd14, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (r1_jordan2c(2, k3_topreal1(2, A), B) => B=k1_jordan2c(2, k3_topreal1(2, A))) ) ) ) ) ).
fof(t41_gobrd14, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  => k6_pscomp_1(k3_topreal1(2, A))=k6_pscomp_1(k3_goboard9(A))) ) ).
fof(t42_gobrd14, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  => k8_pscomp_1(k3_topreal1(2, A))=k8_pscomp_1(k3_goboard9(A))) ) ).
fof(t43_gobrd14, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  => k7_pscomp_1(k3_topreal1(2, A))=k7_pscomp_1(k3_goboard9(A))) ) ).
fof(t44_gobrd14, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  => k9_pscomp_1(k3_topreal1(2, A))=k9_pscomp_1(k3_goboard9(A))) ) ).
fof(cc1_goedcpuc, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (v1_henmodel(B, A) => v1_goedcpuc(B, A)) ) ) ) ) ).
fof(d1_goedcpuc, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (v1_goedcpuc(B, A) <=>  (? [C] :  ( ~ (v1_xboole_0(C))  &  (? [D] :  (m1_valuat_1(D, A, C) &  (? [E] :  (m2_funct_2(E, k3_qc_lang1(A), C, k2_valuat_1(A, C)) & r6_calcul_1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_goedcpuc, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (? [B] :  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ~ (r2_hidden(k4_tarski(B, k1_domain_1(k3_qc_lang1(A), k3_cqc_lang(A), D, C)), k1_qc_lang1(A))) ) ) ) ) ) ) ) ).
fof(d2_goedcpuc, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_goedcpuc(B, A) <=>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ~ (r2_hidden(k4_tarski(B, k1_domain_1(k3_qc_lang1(A), k3_cqc_lang(A), D, C)), k1_qc_lang1(A))) ) ) ) ) ) ) ) ) ).
fof(d5_goedcpuc, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) => k3_goedcpuc(A, B, C)=k9_cqc_lang(k1_goedcpuc(A), k6_cqc_lang(k1_goedcpuc(A), k12_cqc_lang(k1_goedcpuc(A), k2_qc_trans(A, k1_goedcpuc(A), C), k1_qc_trans(A, k1_goedcpuc(A), B))), k4_substut2(k1_goedcpuc(A), k1_qc_trans(A, k1_goedcpuc(A), B), k2_qc_trans(A, k1_goedcpuc(A), C), k2_goedcpuc(A, B, C)))) ) ) ) ) ) ).
fof(t2_goedcpuc, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, B) & v1_finseq_1(C)) ) )  =>  ~ ( ( (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(D, B) & r1_xxreal_0(1, D))  => m1_qc_lang1(k1_funct_1(C, D))) ) )  &  (k1_funct_1(C, 1)=A &  (! [D] :  (v7_ordinal1(D) =>  ~ ( ( ~ (r1_xxreal_0(B, D))  &  (r1_xxreal_0(1, D) &  (! [E] :  (m1_qc_lang1(E) =>  ~ ( (k1_funct_1(C, D)=E & k1_funct_1(C, k1_nat_1(D, 1))=k1_goedcpuc(E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_goedcpuc, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, k1_nat_1(B, 1)) & v1_finseq_1(C)) ) )  =>  (m2_goedcpuc(C, A, B) <=>  ( (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(D, k1_nat_1(B, 1)) & r1_xxreal_0(1, D))  => m1_qc_lang1(k1_funct_1(C, D))) ) )  &  (k1_funct_1(C, 1)=A &  (! [D] :  (v7_ordinal1(D) =>  ~ ( ( ~ (r1_xxreal_0(k1_nat_1(B, 1), D))  &  (r1_xxreal_0(1, D) &  (! [E] :  (m1_qc_lang1(E) =>  ~ ( (k1_funct_1(C, D)=E & k1_funct_1(C, k1_nat_1(D, 1))=k1_goedcpuc(E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_goedcpuc, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_goedcpuc(C, A, B) => m1_qc_lang1(k1_funct_1(C, k1_nat_1(B, 1)))) ) ) ) ) ) ).
fof(t4_goedcpuc, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_goedcpuc(C, A, B) =>  (v1_qc_trans(k1_funct_1(C, k1_nat_1(B, 1)), A) & m1_qc_lang1(k1_funct_1(C, k1_nat_1(B, 1)))) ) ) ) ) ) ) ).
fof(d9_goedcpuc, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_henmodel(B, A) & m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (m3_goedcpuc(C, A, B) <=>  (k9_xtuple_0(C)=k4_ordinal1 &  (k1_funct_1(C, k5_numbers)=B &  (! [D] :  (v7_ordinal1(D) => k1_funct_1(C, k1_nat_1(D, 1))=k2_xboole_0(k1_funct_1(C, D), k4_goedcpuc(k5_goedcpuc(A, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_goedcpuc, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) => k1_goedcpuc(k5_goedcpuc(A, B))=k5_goedcpuc(A, k1_nat_1(B, 1))) ) ) ) ).
fof(t6_goedcpuc, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r1_xxreal_0(C, B) => r1_tarski(k5_goedcpuc(A, C), k5_goedcpuc(A, B))) ) ) ) ) ) ) ).
fof(t7_goedcpuc, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_qc_trans(B, A) & m1_qc_lang1(B))  =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m2_subset_1(E, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (k1_qc_trans(A, B, k9_cqc_lang(A, C, D))=k9_cqc_lang(B, k1_qc_trans(A, B, C), k1_qc_trans(A, B, D)) & k1_qc_trans(A, B, k12_cqc_lang(A, E, C))=k12_cqc_lang(B, k2_qc_trans(A, B, E), k1_qc_trans(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_goedcpuc, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_valuat_1(E, A, D) =>  (! [F] :  (m2_funct_2(F, k3_qc_lang1(A), D, k2_valuat_1(A, D)) =>  ( (r1_valuat_1(A, D, B, E, F) | r1_valuat_1(A, D, C, E, F))  <=> r1_valuat_1(A, D, k9_cqc_lang(A, B, C), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_goedcpuc, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_henmodel(B, A) & m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))))  =>  (v1_henmodel(k2_xboole_0(B, k4_goedcpuc(A)), k1_goedcpuc(A)) & m1_subset_1(k2_xboole_0(B, k4_goedcpuc(A)), k1_zfmisc_1(k3_cqc_lang(k1_goedcpuc(A))))) ) ) ) ) ).
fof(t10_goedcpuc, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_henmodel(B, A) & m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))))  =>  (? [C] :  ( (v1_qc_trans(C, A) & m1_qc_lang1(C))  &  (? [D] :  ( (v1_henmodel(D, C) & m1_subset_1(D, k1_zfmisc_1(k3_cqc_lang(C))))  &  (r1_tarski(B, D) & v2_goedelcp(D, C)) ) ) ) ) ) ) ) ) ).
fof(t11_goedcpuc, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_henmodel(B, A) & m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))))  =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (v1_henmodel(k4_subset_1(k3_cqc_lang(A), B, k6_domain_1(k3_cqc_lang(A), C)), A) | v1_henmodel(k4_subset_1(k3_cqc_lang(A), B, k6_domain_1(k3_cqc_lang(A), k6_cqc_lang(A, C))), A)) ) ) ) ) ) ) ).
fof(t12_goedcpuc, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_henmodel(B, A) & m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))))  =>  (? [C] :  ( (v1_henmodel(C, A) & m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))))  &  (v1_goedelcp(C, A) & r1_tarski(B, C)) ) ) ) ) ) ) ).
fof(t13_goedcpuc, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_henmodel(B, A) & m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))))  =>  (! [C] :  ( (v1_henmodel(C, A) & m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))))  =>  ( (r1_tarski(B, C) & v2_goedelcp(B, A))  => v2_goedelcp(C, A)) ) ) ) ) ) ) ).
fof(t14_goedcpuc, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r7_calcul_1(A, B, C) => r1_henmodel(A, B, C)) ) ) ) ) ) ) ).
fof(existence_m1_goedcpuc, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (? [B] : m1_goedcpuc(B, A)) ) ) ).
fof(dt_k1_goedcpuc, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (v1_qc_trans(k1_goedcpuc(A), A) & m1_qc_lang1(k1_goedcpuc(A))) ) ) ).
fof(dt_k2_goedcpuc, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_cqc_lang(A)) & m1_subset_1(C, k3_qc_lang1(A))) )  => m2_subset_1(k2_goedcpuc(A, B, C), k2_qc_lang1(k1_goedcpuc(A)), k3_qc_lang1(k1_goedcpuc(A)))) ) ).
fof(dt_k3_goedcpuc, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_cqc_lang(A)) & m1_subset_1(C, k3_qc_lang1(A))) )  => m2_subset_1(k3_goedcpuc(A, B, C), k9_qc_lang1(k1_goedcpuc(A)), k3_cqc_lang(k1_goedcpuc(A)))) ) ).
fof(dt_k4_goedcpuc, axiom,  (! [A] :  (m1_qc_lang1(A) => m1_subset_1(k4_goedcpuc(A), k1_zfmisc_1(k3_cqc_lang(k1_goedcpuc(A))))) ) ).
fof(dt_m2_goedcpuc, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & v7_ordinal1(B))  =>  (! [C] :  (m2_goedcpuc(C, A, B) =>  (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, k1_nat_1(B, 1)) & v1_finseq_1(C)) ) ) ) ) ) ) ).
fof(existence_m2_goedcpuc, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & v7_ordinal1(B))  =>  (? [C] : m2_goedcpuc(C, A, B)) ) ) ).
fof(dt_k5_goedcpuc, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & v7_ordinal1(B))  =>  (v1_qc_trans(k5_goedcpuc(A, B), A) & m1_qc_lang1(k5_goedcpuc(A, B))) ) ) ).
fof(dt_m3_goedcpuc, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) &  (v1_henmodel(B, A) & m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A)))) )  =>  (! [C] :  (m3_goedcpuc(C, A, B) =>  (v1_relat_1(C) & v1_funct_1(C)) ) ) ) ) ).
fof(existence_m3_goedcpuc, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) &  (v1_henmodel(B, A) & m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A)))) )  =>  (? [C] : m3_goedcpuc(C, A, B)) ) ) ).
fof(dt_k6_goedcpuc, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  ( (v1_henmodel(B, A) & m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))))  & v7_ordinal1(C)) )  => m1_subset_1(k6_goedcpuc(A, B, C), k1_zfmisc_1(k3_cqc_lang(k5_goedcpuc(A, C))))) ) ).
fof(d3_goedcpuc, axiom,  (! [A] :  (m1_qc_lang1(A) => k1_goedcpuc(A)=k2_zfmisc_1(k4_ordinal1, k2_xboole_0(k1_qc_lang1(A), a_1_0_goedcpuc(A)))) ) ).
fof(d4_goedcpuc, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) => k2_goedcpuc(A, B, C)=k4_tarski(4, k4_tarski(o_1_1_goedcpuc(A), k1_domain_1(k3_qc_lang1(A), k3_cqc_lang(A), C, B)))) ) ) ) ) ) ).
fof(d6_goedcpuc, axiom,  (! [A] :  (m1_qc_lang1(A) => k4_goedcpuc(A)=a_1_2_goedcpuc(A)) ) ).
fof(d8_goedcpuc, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) => k5_goedcpuc(A, B)=k1_funct_1(o_2_0_goedcpuc(A, B), k1_nat_1(B, 1))) ) ) ) ).
fof(d10_goedcpuc, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_henmodel(B, A) & m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))))  =>  (! [C] :  (v7_ordinal1(C) => k6_goedcpuc(A, B, C)=k1_funct_1(o_2_1_goedcpuc(A, B), C)) ) ) ) ) ) ).
fof(fraenkel_a_1_0_goedcpuc, axiom,  (! [A, B] :  (m1_qc_lang1(B) =>  (r2_hidden(A, a_1_0_goedcpuc(B)) <=>  (? [C, D] :  ( (m2_subset_1(C, k9_qc_lang1(B), k3_cqc_lang(B)) & m2_subset_1(D, k2_qc_lang1(B), k3_qc_lang1(B)))  & A=k4_tarski(o_1_1_goedcpuc(B), k1_domain_1(k3_qc_lang1(B), k3_cqc_lang(B), D, C))) ) ) ) ) ).
fof(dt_o_1_1_goedcpuc, axiom,  (! [A] :  (m1_qc_lang1(A) => m1_goedcpuc(o_1_1_goedcpuc(A), A)) ) ).
fof(fraenkel_a_1_2_goedcpuc, axiom,  (! [A, B] :  (m1_qc_lang1(B) =>  (r2_hidden(A, a_1_2_goedcpuc(B)) <=>  (? [C, D] :  ( (m2_subset_1(C, k9_qc_lang1(B), k3_cqc_lang(B)) & m2_subset_1(D, k2_qc_lang1(B), k3_qc_lang1(B)))  & A=k3_goedcpuc(B, C, D)) ) ) ) ) ).
fof(dt_o_2_0_goedcpuc, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & v7_ordinal1(B))  => m2_goedcpuc(o_2_0_goedcpuc(A, B), A, B)) ) ).
fof(dt_o_2_1_goedcpuc, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) &  (v1_henmodel(B, A) & m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A)))) )  => m3_goedcpuc(o_2_1_goedcpuc(A, B), A, B)) ) ).
fof(rc1_goedelcp, axiom,  (? [A] :  (m1_qc_lang1(A) & v4_card_3(A)) ) ).
fof(d1_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (v1_goedelcp(B, A) <=>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r1_henmodel(A, B, C) | r1_henmodel(A, B, k6_cqc_lang(A, C))) ) ) ) ) ) ) ) ).
fof(d2_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (v2_goedelcp(B, A) <=>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (? [E] :  (m2_subset_1(E, k2_qc_lang1(A), k3_qc_lang1(A)) & r1_henmodel(A, B, k9_cqc_lang(A, k6_cqc_lang(A, k12_cqc_lang(A, C, D)), k4_substut2(A, D, C, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  ( (v1_henmodel(C, A) & m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))))  =>  (v1_goedelcp(C, A) =>  (r1_henmodel(A, C, B) <=>  ~ (r1_henmodel(A, C, k6_cqc_lang(A, B))) ) ) ) ) ) ) ) ) ).
fof(t2_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_finseq_1(D, k3_cqc_lang(A)) =>  ( (r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), k9_cqc_lang(A, k6_cqc_lang(A, B), C)))) & r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), B))))  => r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), C)))) ) ) ) ) ) ) ) ) ).
fof(t3_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (v2_goedelcp(B, A) =>  (r1_henmodel(A, B, k12_cqc_lang(A, D, C)) <=>  (? [E] :  (m2_subset_1(E, k2_qc_lang1(A), k3_qc_lang1(A)) & r1_henmodel(A, B, k4_substut2(A, C, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  ( (v1_henmodel(C, A) & m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))))  =>  (! [D] :  (m1_henmodel(D, A, C) =>  ( (v1_goedelcp(C, A) & v2_goedelcp(C, A))  =>  ( (v1_goedelcp(C, A) &  (v2_goedelcp(C, A) &  ~ ( (r1_valuat_1(A, k1_henmodel(A), B, D, k3_henmodel(A)) <=> r1_henmodel(A, C, B)) ) ) )  |  (r1_valuat_1(A, k1_henmodel(A), k6_cqc_lang(A, B), D, k3_henmodel(A)) <=> r1_henmodel(A, C, k6_cqc_lang(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_finseq_1(D, k3_cqc_lang(A)) =>  ( (r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), B))) & r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), C))))  => r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), k7_cqc_lang(A, B, C))))) ) ) ) ) ) ) ) ) ).
fof(t6_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (r1_henmodel(A, B, C) & r1_henmodel(A, B, D))  <=> r1_henmodel(A, B, k7_cqc_lang(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t7_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  ( (v1_henmodel(D, A) & m1_subset_1(D, k1_zfmisc_1(k3_cqc_lang(A))))  =>  (! [E] :  (m1_henmodel(E, A, D) =>  ( (v1_goedelcp(D, A) & v2_goedelcp(D, A))  =>  ( (v1_goedelcp(D, A) &  (v2_goedelcp(D, A) &  ~ ( (r1_valuat_1(A, k1_henmodel(A), B, E, k3_henmodel(A)) <=> r1_henmodel(A, D, B)) ) ) )  |  ( (v1_goedelcp(D, A) &  (v2_goedelcp(D, A) &  ~ ( (r1_valuat_1(A, k1_henmodel(A), C, E, k3_henmodel(A)) <=> r1_henmodel(A, D, C)) ) ) )  |  (r1_valuat_1(A, k1_henmodel(A), k7_cqc_lang(A, B, C), E, k3_henmodel(A)) <=> r1_henmodel(A, D, k7_cqc_lang(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_henmodel(B, A) & m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))))  =>  (! [C] :  (m1_henmodel(C, A, B) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (r1_xxreal_0(k7_cqc_sim1(A, D), k5_numbers) &  (v1_goedelcp(B, A) & v2_goedelcp(B, A)) )  =>  (r1_valuat_1(A, k1_henmodel(A), D, C, k3_henmodel(A)) <=> r1_henmodel(A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t9_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_valuat_1(E, A, D) =>  (! [F] :  (m2_funct_2(F, k3_qc_lang1(A), D, k2_valuat_1(A, D)) =>  (r1_valuat_1(A, D, k12_cqc_lang(A, C, B), E, F) <=>  (? [G] :  (m1_subset_1(G, D) & r1_valuat_1(A, D, B, E, k1_sublemma(A, D, F, k12_sublemma(A, D, C, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  ( (v1_henmodel(D, A) & m1_subset_1(D, k1_zfmisc_1(k3_cqc_lang(A))))  =>  (! [E] :  (m1_henmodel(E, A, D) =>  (r1_valuat_1(A, k1_henmodel(A), k12_cqc_lang(A, C, B), E, k3_henmodel(A)) <=>  (? [F] :  (m2_subset_1(F, k2_qc_lang1(A), k3_qc_lang1(A)) & r1_valuat_1(A, k1_henmodel(A), k4_substut2(A, B, C, F), E, k3_henmodel(A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_valuat_1(E, A, D) =>  (! [F] :  (m2_funct_2(F, k3_qc_lang1(A), D, k2_valuat_1(A, D)) =>  (r1_valuat_1(A, D, k6_cqc_lang(A, k12_cqc_lang(A, C, k6_cqc_lang(A, B))), E, F) <=> r1_valuat_1(A, D, k11_cqc_lang(A, C, B), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (r1_henmodel(A, B, k6_cqc_lang(A, k12_cqc_lang(A, D, k6_cqc_lang(A, C)))) <=> r1_henmodel(A, B, k11_cqc_lang(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t13_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) => k7_cqc_sim1(A, k12_cqc_lang(A, C, B))=k1_nat_1(k7_cqc_sim1(A, B), 1)) ) ) ) ) ) ).
fof(t14_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) => k7_cqc_sim1(A, B)=k7_cqc_sim1(A, k4_substut2(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t15_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_henmodel(B, A) & m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))))  =>  (! [C] :  (m1_henmodel(C, A, B) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (k7_cqc_sim1(A, D)=1 &  (v1_goedelcp(B, A) & v2_goedelcp(B, A)) )  =>  (r1_valuat_1(A, k1_henmodel(A), D, C, k3_henmodel(A)) <=> r1_henmodel(A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t16_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_henmodel(B, A) & m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))))  =>  (! [C] :  (m1_henmodel(C, A, B) =>  (! [D] :  (v7_ordinal1(D) =>  ( (! [E] :  (m2_subset_1(E, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (r1_xxreal_0(k7_cqc_sim1(A, E), D) &  (v1_goedelcp(B, A) & v2_goedelcp(B, A)) )  =>  (r1_valuat_1(A, k1_henmodel(A), E, C, k3_henmodel(A)) <=> r1_henmodel(A, B, E)) ) ) )  =>  (! [E] :  (m2_subset_1(E, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (r1_xxreal_0(k7_cqc_sim1(A, E), k1_nat_1(D, 1)) &  (v1_goedelcp(B, A) & v2_goedelcp(B, A)) )  =>  (r1_valuat_1(A, k1_henmodel(A), E, C, k3_henmodel(A)) <=> r1_henmodel(A, B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_henmodel(B, A) & m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))))  =>  (! [C] :  (m1_henmodel(C, A, B) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (v1_goedelcp(B, A) & v2_goedelcp(B, A))  =>  (r1_valuat_1(A, k1_henmodel(A), D, C, k3_henmodel(A)) <=> r1_henmodel(A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t18_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (v4_card_3(A) => v4_card_3(k9_qc_lang1(A))) ) ) ).
fof(d3_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (B=k1_goedelcp(A) <=>  (! [C] :  (r2_tarski(C, B) <=>  (? [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) &  (? [E] :  (m2_subset_1(E, k9_qc_lang1(A), k3_cqc_lang(A)) & C=k12_cqc_lang(A, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (v4_card_3(A) => v4_card_3(k3_cqc_lang(A))) ) ) ).
fof(t20_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (v4_card_3(A) =>  ( ~ (v1_xboole_0(k1_goedelcp(A)))  & v4_card_3(k1_goedelcp(A))) ) ) ) ).
fof(d4_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v4_qc_lang2(B, A) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (C=k2_goedelcp(A, B) <=>  (? [D] :  (m1_subset_1(D, k9_qc_lang1(A)) & B=k5_qc_lang2(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(d5_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (v4_qc_lang2(B, A) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (C=k3_goedelcp(A, B) <=>  (? [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) & B=k12_cqc_lang(A, D, C)) ) ) ) ) ) ) ) ) ) ).
fof(d6_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k3_cqc_lang(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k3_cqc_lang(A))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (D=k4_goedelcp(A, B, C) <=>  (! [E] :  (m2_subset_1(E, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (E=k8_nat_1(k3_cqc_lang(A), B, C) => D=k2_goedelcp(A, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k3_cqc_lang(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k3_cqc_lang(A))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (D=k5_goedelcp(A, B, C) <=>  (! [E] :  (m2_subset_1(E, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (E=k8_nat_1(k3_cqc_lang(A), B, C) => D=k3_goedelcp(A, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r2_tarski(C, B) => r1_henmodel(A, B, C)) ) ) ) ) ) ) ).
fof(t22_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (k2_goedelcp(A, k12_cqc_lang(A, C, B))=C & k3_goedelcp(A, k12_cqc_lang(A, C, B))=B) ) ) ) ) ) ) ).
fof(t23_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) => r1_henmodel(A, B, k5_cqc_lang(A))) ) ) ) ).
fof(t24_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (r1_henmodel(A, B, k6_cqc_lang(A, k5_cqc_lang(A))) <=>  ~ (v1_henmodel(B, A)) ) ) ) ) ) ).
fof(t25_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_finseq_1(C, k3_cqc_lang(A)) =>  (! [D] :  (m2_finseq_1(D, k3_cqc_lang(A)) =>  (r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), C, k12_finseq_1(k3_cqc_lang(A), B))) =>  (r1_xxreal_0(k3_finseq_1(C), k5_numbers) | r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), k8_finseq_1(k3_cqc_lang(A), k8_finseq_1(k3_cqc_lang(A), k1_calcul_1(k3_cqc_lang(A), C), D), k12_finseq_1(k3_cqc_lang(A), k2_calcul_1(A, C))), k12_finseq_1(k3_cqc_lang(A), B)))) ) ) ) ) ) ) ) ) ) ).
fof(t26_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) => k6_goedelcp(A, k6_domain_1(k3_cqc_lang(A), B))=k24_qc_lang1(A, B)) ) ) ) ).
fof(t27_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) => k6_goedelcp(A, k4_subset_1(k3_cqc_lang(A), B, C))=k4_subset_1(k3_qc_lang1(A), k6_goedelcp(A, B), k6_goedelcp(A, C))) ) ) ) ) ) ).
fof(t28_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_qc_lang1(A))) =>  ~ ( (v1_finset_1(B) &  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) => r2_tarski(C, B)) ) ) ) ) ) ) ) ).
fof(t29_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) =>  (r1_tarski(B, C) => r1_tarski(k6_goedelcp(A, B), k6_goedelcp(A, C))) ) ) ) ) ) ) ).
fof(t30_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) => k6_goedelcp(A, k2_relset_1(k3_cqc_lang(A), B))=k3_calcul_1(A, B)) ) ) ) ).
fof(t31_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_henmodel(B, A) & m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))))  =>  ~ ( (v4_card_3(A) &  (v1_finset_1(k6_goedelcp(A, B)) &  (! [C] :  ( (v1_henmodel(C, A) & m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))))  =>  ~ ( (r1_tarski(B, C) & v2_goedelcp(C, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (r1_henmodel(A, B, D) & r1_tarski(B, C))  => r1_henmodel(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t33_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_henmodel(B, A) & m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))))  =>  ~ ( (v4_card_3(A) &  (v2_goedelcp(B, A) &  (! [C] :  ( (v1_henmodel(C, A) & m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))))  =>  ~ ( (r1_tarski(B, C) &  (v1_goedelcp(C, A) & v2_goedelcp(C, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_henmodel(B, A) & m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))))  =>  ~ ( (v4_card_3(A) &  (v1_finset_1(k6_goedelcp(A, B)) &  (! [C] :  ( (v1_henmodel(C, A) & m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))))  =>  (! [D] :  (m1_henmodel(D, A, C) =>  ~ (r6_calcul_1(A, B, k1_henmodel(A), D, k3_henmodel(A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_valuat_1(E, A, D) =>  (! [F] :  (m2_funct_2(F, k3_qc_lang1(A), D, k2_valuat_1(A, D)) =>  ( (r6_calcul_1(A, B, D, E, F) & r1_tarski(C, B))  => r6_calcul_1(A, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (v1_finset_1(k6_goedelcp(A, B)) => v1_finset_1(k6_goedelcp(A, k4_subset_1(k3_cqc_lang(A), B, k6_domain_1(k3_cqc_lang(A), C))))) ) ) ) ) ) ) ).
fof(t37_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_valuat_1(E, A, D) =>  (! [F] :  (m2_funct_2(F, k3_qc_lang1(A), D, k2_valuat_1(A, D)) =>  ~ ( (r7_calcul_1(A, B, C) & r6_calcul_1(A, k4_subset_1(k3_cqc_lang(A), B, k6_domain_1(k3_cqc_lang(A), k6_cqc_lang(A, C))), D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (v4_card_3(A) &  (v1_finset_1(k6_goedelcp(A, B)) & r7_calcul_1(A, B, C)) )  => r1_henmodel(A, B, C)) ) ) ) ) ) ) ).
fof(dt_k1_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) => m1_subset_1(k1_goedelcp(A), k1_zfmisc_1(k3_cqc_lang(A)))) ) ).
fof(dt_k2_goedelcp, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k9_qc_lang1(A)))  => m2_subset_1(k2_goedelcp(A, B), k2_qc_lang1(A), k3_qc_lang1(A))) ) ).
fof(dt_k3_goedelcp, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k3_cqc_lang(A)))  => m2_subset_1(k3_goedelcp(A, B), k9_qc_lang1(A), k3_cqc_lang(A))) ) ).
fof(dt_k4_goedelcp, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k3_cqc_lang(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k3_cqc_lang(A))))) )  & v7_ordinal1(C)) )  => m2_subset_1(k4_goedelcp(A, B, C), k2_qc_lang1(A), k3_qc_lang1(A))) ) ).
fof(dt_k5_goedelcp, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k3_cqc_lang(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k3_cqc_lang(A))))) )  & v7_ordinal1(C)) )  => m2_subset_1(k5_goedelcp(A, B, C), k9_qc_lang1(A), k3_cqc_lang(A))) ) ).
fof(dt_k6_goedelcp, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))))  => m1_subset_1(k6_goedelcp(A, B), k1_zfmisc_1(k3_qc_lang1(A)))) ) ).
fof(d8_goedelcp, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) => k6_goedelcp(A, B)=k3_tarski(a_2_0_goedelcp(A, B))) ) ) ) ).
fof(fraenkel_a_2_0_goedelcp, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(B) & m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(B))))  =>  (r2_hidden(A, a_2_0_goedelcp(B, C)) <=>  (? [D] :  (m2_subset_1(D, k9_qc_lang1(B), k3_cqc_lang(B)) &  (A=k24_qc_lang1(B, D) & r2_tarski(D, C)) ) ) ) ) ) ).
fof(fc1_gr_cy_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_group_1(A) & l3_algstr_0(A)) )  =>  (v15_algstr_0(g3_algstr_0(u1_struct_0(A), u2_algstr_0(A))) & v3_group_1(g3_algstr_0(u1_struct_0(A), u2_algstr_0(A)))) ) ) ).
fof(fc2_gr_cy_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (v15_algstr_0(g3_algstr_0(u1_struct_0(A), u2_algstr_0(A))) & v2_group_1(g3_algstr_0(u1_struct_0(A), u2_algstr_0(A)))) ) ) ).
fof(fc3_gr_cy_1, axiom,  ( ~ (v2_struct_0(k2_gr_cy_1))  &  (v15_algstr_0(k2_gr_cy_1) &  (v2_group_1(k2_gr_cy_1) & v3_group_1(k2_gr_cy_1)) ) ) ).
fof(fc4_gr_cy_1, axiom, v5_membered(u1_struct_0(k2_gr_cy_1))).
fof(ie1_gr_cy_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k2_gr_cy_1)) & m1_subset_1(B, u1_struct_0(k2_gr_cy_1)))  => k6_algstr_0(k2_gr_cy_1, A, B)=k2_xcmplx_0(A, B)) ) ).
fof(fc5_gr_cy_1, axiom,  (! [A] :  (v7_ordinal1(A) => v6_membered(k6_ordinal1(A))) ) ).
fof(fc6_gr_cy_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ( ~ (v2_struct_0(k4_gr_cy_1(A)))  &  (v8_struct_0(k4_gr_cy_1(A)) &  (v15_algstr_0(k4_gr_cy_1(A)) &  (v2_group_1(k4_gr_cy_1(A)) & v3_group_1(k4_gr_cy_1(A))) ) ) ) ) ) ).
fof(rc1_gr_cy_1, axiom,  (? [A] :  (l3_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v1_group_1(A) &  (v2_group_1(A) &  (v3_group_1(A) & v1_gr_cy_1(A)) ) ) ) ) ) ) ).
fof(fc7_gr_cy_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (v15_algstr_0(k6_group_2(A)) & v1_gr_cy_1(k6_group_2(A))) ) ) ).
fof(rc2_gr_cy_1, axiom,  (? [A] :  (l3_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v15_algstr_0(A) &  (v1_group_1(A) &  (v2_group_1(A) &  (v3_group_1(A) & v1_gr_cy_1(A)) ) ) ) ) ) ) ) ).
fof(cc1_gr_cy_1, axiom,  (! [A] :  (l3_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & v1_gr_cy_1(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & v5_group_1(A)) ) ) ) ) ) ).
fof(fc8_gr_cy_1, axiom,  ( ~ (v2_struct_0(k2_gr_cy_1))  &  (v15_algstr_0(k2_gr_cy_1) & v1_gr_cy_1(k2_gr_cy_1)) ) ).
fof(fc9_gr_cy_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ( ~ (v2_struct_0(k4_gr_cy_1(A)))  &  (v15_algstr_0(k4_gr_cy_1(A)) & v1_gr_cy_1(k4_gr_cy_1(A))) ) ) ) ).
fof(d1_gr_cy_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_numbers, k4_numbers), k4_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_numbers, k4_numbers), k4_numbers)))) )  =>  (A=k20_binop_2 <=>  (! [B] :  (m1_subset_1(B, k4_numbers) =>  (! [C] :  (m1_subset_1(C, k4_numbers) => k4_binop_1(k4_numbers, A, B, C)=k1_binop_1(k9_binop_2, B, C)) ) ) ) ) ) ) ).
fof(t1_gr_cy_1, axiom,  (! [A] :  (m1_subset_1(A, k4_numbers) =>  (A=k5_numbers => r3_binop_1(k4_numbers, A, k20_binop_2)) ) ) ).
fof(t2_gr_cy_1, axiom,  (! [A] :  (m2_finseq_1(A, k4_numbers) => k16_rvsum_1(A)=k1_finsop_1(k4_numbers, A, k20_binop_2)) ) ).
fof(d2_gr_cy_1, axiom,  (! [A] :  (m2_finseq_1(A, k4_numbers) => k1_gr_cy_1(A)=k1_finsop_1(k4_numbers, A, k20_binop_2)) ) ).
fof(t3_gr_cy_1, axiom, k1_gr_cy_1(k6_finseq_1(k4_numbers))=k5_numbers).
fof(t4_gr_cy_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, k4_numbers) => k3_group_4(A, k4_group_4(A, C, k5_finseq_2(u1_struct_0(A), k3_finseq_1(C), B)))=k5_group_1(A, B, k1_gr_cy_1(C))) ) ) ) ) ) ).
fof(t5_gr_cy_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_struct_0(k5_group_4(A, k6_domain_1(u1_struct_0(A), B)), C) <=>  (? [D] :  (v1_int_1(D) & C=k5_group_1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t6_gr_cy_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ (v4_group_1(B, A)) ) ) ) ) ).
fof(t7_gr_cy_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_group_1(A, B)=k7_group_1(k5_group_4(A, k6_domain_1(u1_struct_0(A), B)))) ) ) ) ).
fof(t8_gr_cy_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_nat_d(k6_group_1(A, B), k7_group_1(A))) ) ) ) ).
fof(t9_gr_cy_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_group_1(A, B, k7_group_1(A))=k1_group_1(A)) ) ) ) ).
fof(t10_gr_cy_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k2_group_1(B, k5_group_1(B, C, A))=k5_group_1(B, C, k6_xcmplx_0(k7_group_1(B), k4_nat_d(A, k7_group_1(B))))) ) ) ) ) ) ).
fof(t11_gr_cy_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) ) )  =>  ~ ( ( ~ (r1_xxreal_0(k7_group_1(A), 1))  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => B=k1_group_1(A)) ) ) ) ) ) ).
fof(t12_gr_cy_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v15_algstr_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) ) )  =>  ( (k7_group_1(B)=A & v1_int_2(A))  =>  (! [C] :  ( (v15_algstr_0(C) & m1_group_2(C, B))  =>  (r1_group_2(B, C, k6_group_2(B)) | C=B) ) ) ) ) ) ) ) ).
fof(d3_gr_cy_1, axiom, k2_gr_cy_1=g3_algstr_0(k4_numbers, k20_binop_2)).
fof(d4_gr_cy_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k5_card_1(A), k5_card_1(A)), k5_card_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k5_card_1(A), k5_card_1(A)), k5_card_1(A))))) )  =>  (B=k3_gr_cy_1(A) <=>  (! [C] :  (m1_subset_1(C, k5_card_1(A)) =>  (! [D] :  (m1_subset_1(D, k5_card_1(A)) => k4_binop_1(k5_card_1(A), B, C, D)=k2_nat_d(k2_xcmplx_0(C, D), A)) ) ) ) ) ) ) ) ) ) ).
fof(d5_gr_cy_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => k4_gr_cy_1(A)=g3_algstr_0(k5_card_1(A), k3_gr_cy_1(A))) ) ).
fof(t13_gr_cy_1, axiom, k1_group_1(k2_gr_cy_1)=k5_numbers).
fof(t14_gr_cy_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => k1_group_1(k4_gr_cy_1(A))=k5_numbers) ) ).
fof(d6_gr_cy_1, axiom,  (! [A] :  (v1_int_1(A) => k5_gr_cy_1(A)=A) ) ).
fof(t15_gr_cy_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_gr_cy_1)) => k2_group_1(k2_gr_cy_1, A)=k4_xcmplx_0(A)) ) ).
fof(t16_gr_cy_1, axiom,  (! [A] :  (v1_int_1(A) => A=k5_group_1(k2_gr_cy_1, k5_gr_cy_1(1), A)) ) ).
fof(d7_gr_cy_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (v1_gr_cy_1(A) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) & g3_algstr_0(u1_struct_0(A), u2_algstr_0(A))=k5_group_4(A, k6_domain_1(u1_struct_0(A), B))) ) ) ) ) ).
fof(t17_gr_cy_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v1_gr_cy_1(A) & l3_algstr_0(A)) ) ) )  <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (v1_int_1(D) & C=k5_group_1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t18_gr_cy_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (v1_gr_cy_1(A) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (v7_ordinal1(D) & C=k5_group_1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t19_gr_cy_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (v1_gr_cy_1(A) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) & k6_group_1(A, B)=k7_group_1(A)) ) ) ) ) ).
fof(t20_gr_cy_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  (v1_gr_cy_1(A) => v1_gr_cy_1(B)) ) ) ) ) ).
fof(t21_gr_cy_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) ) )  =>  (v1_int_2(k7_group_1(A)) =>  ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v1_gr_cy_1(A) & l3_algstr_0(A)) ) ) ) ) ) ) ).
fof(t22_gr_cy_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(k4_gr_cy_1(A))) &  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_gr_cy_1(A))) =>  (? [D] :  (v1_int_1(D) & C=k5_group_1(k4_gr_cy_1(A), B, D)) ) ) ) ) ) ) ) ).
fof(t23_gr_cy_1, axiom, k2_gr_cy_1=k5_group_4(k2_gr_cy_1, k6_domain_1(u1_struct_0(k2_gr_cy_1), k5_gr_cy_1(1)))).
fof(dt_k1_gr_cy_1, axiom,  (! [A] :  (m1_finseq_1(A, k4_numbers) => m1_subset_1(k1_gr_cy_1(A), k4_numbers)) ) ).
fof(redefinition_k1_gr_cy_1, axiom,  (! [A] :  (m1_finseq_1(A, k4_numbers) => k1_gr_cy_1(A)=k16_rvsum_1(A)) ) ).
fof(dt_k2_gr_cy_1, axiom,  ( ~ (v2_struct_0(k2_gr_cy_1))  &  (v15_algstr_0(k2_gr_cy_1) & l3_algstr_0(k2_gr_cy_1)) ) ).
fof(dt_k3_gr_cy_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_funct_1(k3_gr_cy_1(A)) &  (v1_funct_2(k3_gr_cy_1(A), k2_zfmisc_1(k5_card_1(A), k5_card_1(A)), k5_card_1(A)) & m1_subset_1(k3_gr_cy_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k5_card_1(A), k5_card_1(A)), k5_card_1(A))))) ) ) ) ).
fof(dt_k4_gr_cy_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ( ~ (v2_struct_0(k4_gr_cy_1(A)))  &  (v15_algstr_0(k4_gr_cy_1(A)) & l3_algstr_0(k4_gr_cy_1(A))) ) ) ) ).
fof(dt_k5_gr_cy_1, axiom,  (! [A] :  (v1_int_1(A) => m1_subset_1(k5_gr_cy_1(A), u1_struct_0(k2_gr_cy_1))) ) ).
fof(cc1_gr_cy_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_gr_cy_1(A))) => v7_ordinal1(B)) ) ) ) ).
fof(fc1_gr_cy_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (v15_algstr_0(k10_group_5(A)) & v1_group_3(k10_group_5(A), A)) ) ) ).
fof(t1_gr_cy_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ~ ( ( ~ (r1_xxreal_0(k6_group_1(A, B), 1))  &  (B=k5_group_1(A, C, D) & D=k5_numbers) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_gr_cy_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_struct_0(k5_group_4(A, k6_domain_1(u1_struct_0(A), B)), B)) ) ) ) ).
fof(t3_gr_cy_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (C=D => k5_group_4(A, k6_domain_1(u1_struct_0(A), C))=k5_group_4(B, k6_domain_1(u1_struct_0(B), D))) ) ) ) ) ) ) ) ) ).
fof(t4_gr_cy_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (v2_struct_0(k5_group_4(A, k6_domain_1(u1_struct_0(A), B))))  &  (v2_group_1(k5_group_4(A, k6_domain_1(u1_struct_0(A), B))) &  (v3_group_1(k5_group_4(A, k6_domain_1(u1_struct_0(A), B))) &  (v1_gr_cy_1(k5_group_4(A, k6_domain_1(u1_struct_0(A), B))) & l3_algstr_0(k5_group_4(A, k6_domain_1(u1_struct_0(A), B)))) ) ) ) ) ) ) ) ).
fof(t5_gr_cy_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (v1_int_1(D) & C=k5_group_1(A, B, D)) ) ) )  <=> A=k5_group_4(A, k6_domain_1(u1_struct_0(A), B))) ) ) ) ) ).
fof(t6_gr_cy_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, k4_ordinal1) & C=k5_group_1(A, B, D)) ) ) )  <=> A=k5_group_4(A, k6_domain_1(u1_struct_0(A), B))) ) ) ) ) ).
fof(t7_gr_cy_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (v8_struct_0(A) & A=k5_group_4(A, k6_domain_1(u1_struct_0(A), B)))  =>  (! [C] :  ( (v15_algstr_0(C) & m1_group_2(C, A))  =>  (? [D] :  (m1_subset_1(D, k4_ordinal1) & r1_group_2(A, C, k5_group_4(A, k6_domain_1(u1_struct_0(A), k5_group_1(A, B, D))))) ) ) ) ) ) ) ) ) ).
fof(t8_gr_cy_2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v8_struct_0(D) &  (v2_group_1(D) &  (v3_group_1(D) & l3_algstr_0(D)) ) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(D)) =>  ( (D=k5_group_4(D, k6_domain_1(u1_struct_0(D), E)) &  (k7_group_1(D)=A & A=k3_xcmplx_0(B, C)) )  => k6_group_1(D, k5_group_1(D, E, B))=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_gr_cy_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r1_nat_d(D, C) => r1_struct_0(k5_group_4(A, k6_domain_1(u1_struct_0(A), k5_group_1(A, B, D))), k5_group_1(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t10_gr_cy_2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) &  (v2_group_1(C) &  (v3_group_1(C) & l3_algstr_0(C)) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  ( (k7_group_1(k5_group_4(C, k6_domain_1(u1_struct_0(C), k5_group_1(C, D, B))))=k7_group_1(k5_group_4(C, k6_domain_1(u1_struct_0(C), k5_group_1(C, D, A)))) & r1_struct_0(k5_group_4(C, k6_domain_1(u1_struct_0(C), k5_group_1(C, D, B))), k5_group_1(C, D, A)))  => r1_group_2(C, k5_group_4(C, k6_domain_1(u1_struct_0(C), k5_group_1(C, D, B))), k5_group_4(C, k6_domain_1(u1_struct_0(C), k5_group_1(C, D, A))))) ) ) ) ) ) ) ) ) ).
fof(t11_gr_cy_2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v8_struct_0(D) &  (v2_group_1(D) &  (v3_group_1(D) & l3_algstr_0(D)) ) ) )  =>  (! [E] :  (m1_group_2(E, D) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(D)) =>  ( (k7_group_1(D)=B &  (D=k5_group_4(D, k6_domain_1(u1_struct_0(D), F)) &  (k7_group_1(E)=C & E=k5_group_4(D, k6_domain_1(u1_struct_0(D), k5_group_1(D, F, A)))) ) )  => r1_nat_d(B, k3_xcmplx_0(A, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_gr_cy_2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) &  (v15_algstr_0(C) &  (v2_group_1(C) &  (v3_group_1(C) & l3_algstr_0(C)) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  ( (C=k5_group_4(C, k6_domain_1(u1_struct_0(C), D)) & k7_group_1(C)=B)  =>  (C=k5_group_4(C, k6_domain_1(u1_struct_0(C), k5_group_1(C, D, A))) <=> k6_nat_d(A, B)=1) ) ) ) ) ) ) ) ) ) ).
fof(t13_gr_cy_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v1_gr_cy_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (A=k5_group_4(A, k6_domain_1(u1_struct_0(A), C)) & r1_struct_0(B, C))  => g3_algstr_0(u1_struct_0(A), u2_algstr_0(A))=g3_algstr_0(u1_struct_0(B), u2_algstr_0(B))) ) ) ) ) ) ) ).
fof(t14_gr_cy_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v1_gr_cy_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (A=k5_group_4(A, k6_domain_1(u1_struct_0(A), B)) =>  (v8_struct_0(A) <=>  (? [C] :  (v1_int_1(C) &  (? [D] :  (v1_int_1(D) &  ( ~ (C=D)  & k5_group_1(A, B, C)=k5_group_1(A, B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_gr_cy_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) &  (v1_gr_cy_1(A) & l3_algstr_0(A)) ) ) ) ) )  => r2_group_6(k4_gr_cy_1(k7_group_1(A)), A)) ) ).
fof(t16_gr_cy_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) &  (v1_gr_cy_1(A) & l3_algstr_0(A)) ) ) ) )  =>  ( ~ (v8_struct_0(A))  => r2_group_6(k2_gr_cy_1, A)) ) ) ).
fof(t17_gr_cy_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) &  (v1_gr_cy_1(A) & l3_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v15_algstr_0(B) &  (v2_group_1(B) &  (v3_group_1(B) &  (v1_gr_cy_1(B) & l3_algstr_0(B)) ) ) ) ) )  =>  (k7_group_1(B)=k7_group_1(A) => r2_group_6(B, A)) ) ) ) ) ).
fof(t18_gr_cy_2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v15_algstr_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) &  (v15_algstr_0(C) &  (v2_group_1(C) &  (v3_group_1(C) & l3_algstr_0(C)) ) ) ) )  =>  ( (k7_group_1(B)=A &  (k7_group_1(C)=A & v1_int_2(A)) )  => r2_group_6(B, C)) ) ) ) ) ) ) ).
fof(t19_gr_cy_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v15_algstr_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) ) )  =>  ( (k7_group_1(A)=2 & k7_group_1(B)=2)  => r2_group_6(A, B)) ) ) ) ) ).
fof(t20_gr_cy_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) ) )  =>  (k7_group_1(A)=2 =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  (r1_group_2(A, B, k6_group_2(A)) | B=A) ) ) ) ) ) ).
fof(t21_gr_cy_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) ) )  =>  (k7_group_1(A)=2 =>  ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v1_gr_cy_1(A) & l3_algstr_0(A)) ) ) ) ) ) ) ).
fof(t22_gr_cy_2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v15_algstr_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) ) )  =>  ( (v1_gr_cy_1(B) & k7_group_1(B)=A)  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ ( (r1_nat_d(C, A) &  (! [D] :  ( (v15_algstr_0(D) & m1_group_2(D, B))  =>  ~ ( (k7_group_1(D)=C &  (! [E] :  ( (v15_algstr_0(E) & m1_group_2(E, B))  =>  (k7_group_1(E)=C => r1_group_2(B, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_gr_cy_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v1_gr_cy_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (A=k5_group_4(A, k6_domain_1(u1_struct_0(A), B)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) & l3_algstr_0(C)) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(C), u1_struct_0(A)) &  (v1_group_6(D, C, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A))))) ) )  =>  (r1_struct_0(k10_group_6(C, A, D), B) => v2_funct_2(D, u1_struct_0(A))) ) ) ) ) ) ) ) ) ) ).
fof(t24_gr_cy_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) &  (v1_gr_cy_1(A) & l3_algstr_0(A)) ) ) ) ) )  =>  ~ ( ( (? [B] :  (m1_subset_1(B, k4_ordinal1) & k7_group_1(A)=k3_xcmplx_0(2, B)) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ ( (k6_group_1(A, B)=2 &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k6_group_1(A, C)=2 => B=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_gr_cy_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) &  (v1_gr_cy_1(A) & l3_algstr_0(A)) ) ) ) ) )  =>  ~ ( ( (? [B] :  (m1_subset_1(B, k4_ordinal1) & k7_group_1(A)=k3_xcmplx_0(2, B)) )  &  (! [B] :  (m1_group_2(B, A) =>  ~ ( (k7_group_1(B)=2 &  ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v1_gr_cy_1(B) & l3_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_gr_cy_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v15_algstr_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(A)) &  (v1_group_6(C, B, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) )  =>  (v1_gr_cy_1(B) => v1_gr_cy_1(k10_group_6(B, A, C))) ) ) ) ) ) ) ).
fof(t27_gr_cy_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v15_algstr_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  ( (r2_group_6(A, B) & v1_gr_cy_1(A))  => v1_gr_cy_1(B)) ) ) ) ) ).
fof(rc1_gr_cy_3, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_int_2(A) &  (v1_finset_1(A) &  (v1_card_1(A) &  (v1_xxreal_0(A) &  (v2_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  & v1_gr_cy_3(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_gr_cy_3, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_int_2(A) &  (v1_finset_1(A) &  (v1_card_1(A) &  (v1_xxreal_0(A) &  (v2_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  & v2_gr_cy_3(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_gr_cy_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k1_uniroots(A)))  &  (v15_algstr_0(k1_uniroots(A)) &  (v2_group_1(k1_uniroots(A)) &  (v3_group_1(k1_uniroots(A)) & v5_group_1(k1_uniroots(A))) ) ) ) ) ) ).
fof(t1_gr_cy_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_nat_d(C, k3_xcmplx_0(A, B)) &  ( ~ (C=1)  &  ( ~ (C=A)  &  ( ~ (C=B)  &  ~ (C=k3_xcmplx_0(A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_gr_cy_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_gr_cy_3(A) <=>  (? [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  & k1_nat_1(k3_xcmplx_0(2, B), 1)=A) ) ) ) ) ).
fof(t2_gr_cy_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_gr_cy_3(A)) )  => r1_xxreal_0(5, A)) ) ).
fof(t3_gr_cy_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_gr_cy_3(A)) )  => k4_nat_d(A, 2)=1) ) ).
fof(t4_gr_cy_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_gr_cy_3(A)) )  =>  ( ~ (A=7)  => k4_nat_d(A, 3)=2) ) ) ).
fof(t5_gr_cy_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_gr_cy_3(A)) )  =>  ( ~ (A=5)  => k4_nat_d(A, 4)=3) ) ) ).
fof(t6_gr_cy_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_gr_cy_3(A)) )  =>  ( ~ (A=7)  => k4_nat_d(A, 6)=5) ) ) ).
fof(t7_gr_cy_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_gr_cy_3(A)) )  =>  ( ~ (r1_xxreal_0(A, 7))  => k4_nat_d(A, 12)=11) ) ) ).
fof(t8_gr_cy_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_gr_cy_3(A)) )  =>  ~ ( ( ~ (r1_xxreal_0(A, 5))  &  ( ~ (k4_nat_d(A, 8)=3)  &  ~ (k4_nat_d(A, 8)=7) ) ) ) ) ) ).
fof(d2_gr_cy_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v2_gr_cy_3(A) <=>  (v7_ordinal1(k1_nat_1(k3_xcmplx_0(2, A), 1)) & v1_int_2(k1_nat_1(k3_xcmplx_0(2, A), 1))) ) ) ) ).
fof(t9_gr_cy_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v2_gr_cy_3(A)) )  =>  ~ ( ( ~ (r1_xxreal_0(A, 2))  &  ( ~ (k4_nat_d(A, 4)=1)  &  ~ (k4_nat_d(A, 4)=3) ) ) ) ) ) ).
fof(t10_gr_cy_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_gr_cy_3(A)) )  =>  (? [B] :  ( (v7_ordinal1(B) &  (v1_int_2(B) & v2_gr_cy_3(B)) )  & A=k1_nat_1(k3_xcmplx_0(2, B), 1)) ) ) ) ).
fof(t11_gr_cy_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_gr_cy_3(A)) )  =>  (? [B] :  ( (v7_ordinal1(B) &  (v1_int_2(B) & v2_gr_cy_3(B)) )  & k1_euler_1(A)=k3_xcmplx_0(2, B)) ) ) ) ).
fof(t12_gr_cy_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_gr_cy_3(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  (v1_int_2(B) & v1_gr_cy_3(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (A=B)  &  (C=k3_xcmplx_0(A, B) &  (! [D] :  ( (v7_ordinal1(D) &  (v1_int_2(D) & v2_gr_cy_3(D)) )  =>  (! [E] :  ( (v7_ordinal1(E) &  (v1_int_2(E) & v2_gr_cy_3(E)) )  =>  ~ (k1_euler_1(C)=k3_xcmplx_0(k3_xcmplx_0(4, D), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_gr_cy_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_gr_cy_3(A)) )  =>  (? [B] :  ( (v7_ordinal1(B) &  (v1_int_2(B) & v2_gr_cy_3(B)) )  & k7_group_1(k3_int_7(A))=k3_xcmplx_0(2, B)) ) ) ) ).
fof(t14_gr_cy_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) &  (v1_gr_cy_1(A) & l3_algstr_0(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (k7_group_1(A)=k3_xcmplx_0(B, C) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (k6_group_1(A, D)=B &  (v15_algstr_0(k5_group_4(A, k6_domain_1(u1_struct_0(A), D))) & m1_group_2(k5_group_4(A, k6_domain_1(u1_struct_0(A), D)), A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_gr_cy_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_gr_cy_3(A)) )  =>  (? [B] :  ( (v7_ordinal1(B) &  (v1_int_2(B) & v2_gr_cy_3(B)) )  &  (? [C] :  ( (v15_algstr_0(C) & m1_group_2(C, k3_int_7(A)))  &  (? [D] :  ( (v15_algstr_0(D) & m1_group_2(D, k3_int_7(A)))  &  (? [E] :  ( (v15_algstr_0(E) & m1_group_2(E, k3_int_7(A)))  &  (? [F] :  ( (v15_algstr_0(F) & m1_group_2(F, k3_int_7(A)))  &  (k7_group_1(C)=1 &  (k7_group_1(D)=2 &  (k7_group_1(E)=B &  (k7_group_1(F)=k3_xcmplx_0(2, B) &  (! [G] :  ( (v15_algstr_0(G) & m1_group_2(G, k3_int_7(A)))  =>  ~ ( ( ~ (r1_group_2(k3_int_7(A), G, C))  &  ( ~ (r1_group_2(k3_int_7(A), G, D))  &  ( ~ (r1_group_2(k3_int_7(A), G, E))  &  ~ (r1_group_2(k3_int_7(A), G, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_gr_cy_3, axiom,  (! [A] :  (v7_ordinal1(A) => k1_gr_cy_3(A)=k6_xcmplx_0(k1_newton(2, A), 1)) ) ).
fof(t16_gr_cy_3, axiom, k1_gr_cy_3(k5_numbers)=k5_numbers).
fof(t17_gr_cy_3, axiom, k1_gr_cy_3(1)=1).
fof(t18_gr_cy_3, axiom, k1_gr_cy_3(2)=3).
fof(t19_gr_cy_3, axiom, k1_gr_cy_3(3)=7).
fof(t20_gr_cy_3, axiom, k1_gr_cy_3(5)=31).
fof(t21_gr_cy_3, axiom, k1_gr_cy_3(7)=127).
fof(t22_gr_cy_3, axiom, k1_gr_cy_3(11)=k2_nat_1(23, 89)).
fof(t23_gr_cy_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  ( ~ (A=2)  => k4_nat_d(k1_gr_cy_3(A), k3_xcmplx_0(2, A))=1) ) ) ).
fof(t24_gr_cy_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  ( ~ (A=2)  => k4_nat_d(k1_gr_cy_3(A), 8)=7) ) ) ).
fof(t25_gr_cy_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v2_gr_cy_3(A)) )  =>  ~ ( ( ~ (r1_xxreal_0(A, 2))  &  (k4_nat_d(A, 4)=3 &  (! [B] :  ( (v7_ordinal1(B) &  (v1_int_2(B) & v1_gr_cy_3(B)) )  =>  ~ (r1_nat_d(B, k1_gr_cy_3(A))) ) ) ) ) ) ) ) ).
fof(t26_gr_cy_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v2_gr_cy_3(A)) )  =>  ~ ( ( ~ (r1_xxreal_0(A, 2))  &  (k4_nat_d(A, 4)=1 &  (! [B] :  ( (v7_ordinal1(B) &  (v1_int_2(B) & v1_gr_cy_3(B)) )  =>  ~ (k4_nat_d(k1_gr_cy_3(A), B)=k6_xcmplx_0(B, 2)) ) ) ) ) ) ) ) ).
fof(t27_gr_cy_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(A, 1))  => r1_int_1(k6_xcmplx_0(A, 1), k6_xcmplx_0(k1_newton(A, B), 1))) ) ) ) ) ).
fof(t28_gr_cy_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (v7_ordinal1(k6_xcmplx_0(k1_newton(A, B), 1)) & v1_int_2(k6_xcmplx_0(k1_newton(A, B), 1)))  =>  (r1_xxreal_0(B, 1) |  (A=2 &  (v7_ordinal1(B) & v1_int_2(B)) ) ) ) ) ) ) ) ).
fof(t29_gr_cy_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( (v7_ordinal1(k1_gr_cy_3(A)) & v1_int_2(k1_gr_cy_3(A)))  =>  (r1_xxreal_0(A, 1) |  (v7_ordinal1(A) & v1_int_2(A)) ) ) ) ) ).
fof(t30_gr_cy_3, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k5_int_1(k1_newton(A, B), C)=k5_int_1(k1_newton(k5_int_1(A, C), B), C)) ) ) ) ) ) ).
fof(t31_gr_cy_3, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ( (r1_int_2(A, C) & r2_int_1(A, B, C))  => r1_int_2(B, C)) ) ) ) ) ) ) ).
fof(t32_gr_cy_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v7_ordinal1(C) & v1_int_2(C))  =>  ( (r1_int_2(A, C) & r2_int_1(A, k3_xcmplx_0(B, B), C))  => r1_int_2(B, C)) ) ) ) ) ) ) ).
fof(t33_gr_cy_3, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( (v7_ordinal1(C) & v1_int_2(C))  =>  ( (r1_int_2(A, C) & r2_int_1(A, k3_xcmplx_0(B, B), C))  => r1_int_2(B, C)) ) ) ) ) ) ) ).
fof(t34_gr_cy_3, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_int_1(A, B, C) =>  (C=k5_numbers | r2_int_1(k1_newton(A, D), k1_newton(B, D), C)) ) ) ) ) ) ) ) ) ) ).
fof(t35_gr_cy_3, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  ~ ( (k5_int_1(k3_xcmplx_0(A, A), B)=1 &  ( ~ (r2_int_1(A, 1, B))  &  ~ (r2_int_1(A, k4_xcmplx_0(1), B)) ) ) ) ) ) ) ) ).
fof(t36_gr_cy_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  => k3_int_7(A)=k1_uniroots(k9_int_3(A))) ) ).
fof(t37_gr_cy_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_uniroots(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (B=C => k2_group_1(k1_uniroots(A), B)=k9_algstr_0(A, C)) ) ) ) ) ) ) ).
fof(t38_gr_cy_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v8_struct_0(B) & m1_group_2(B, k1_uniroots(A)))  =>  ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v1_gr_cy_1(B) & l3_algstr_0(B)) ) ) ) ) ) ) ) ).
fof(dt_k1_gr_cy_3, axiom,  (! [A] :  (v7_ordinal1(A) => v7_ordinal1(k1_gr_cy_3(A))) ) ).
fof(rc1_graph_1, axiom,  (? [A] :  (l1_graph_1(A) & v1_graph_1(A)) ) ).
fof(rc2_graph_1, axiom,  (? [A] :  (l1_graph_1(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & v1_graph_1(A)) ) ) ) ).
fof(rc3_graph_1, axiom,  (? [A] :  (l1_graph_1(A) & v6_graph_1(A)) ) ).
fof(rc4_graph_1, axiom,  (? [A] :  (l1_graph_1(A) &  ( ~ (v2_struct_0(A))  &  (v14_struct_0(A) &  (v2_graph_1(A) &  (v3_graph_1(A) &  (v4_graph_1(A) &  (v5_graph_1(A) & v6_graph_1(A)) ) ) ) ) ) ) ) ).
fof(fc1_graph_1, axiom,  (! [A] :  ( (v6_graph_1(A) & l1_graph_1(A))  => v1_finset_1(u1_struct_0(A))) ) ).
fof(fc2_graph_1, axiom,  (! [A] :  ( (v6_graph_1(A) & l1_graph_1(A))  => v1_finset_1(u4_struct_0(A))) ) ).
fof(rc5_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (? [B] :  (m1_graph_1(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u4_struct_0(A)) &  (v1_funct_1(B) &  (v1_xboole_0(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_graph_1(B, A) =>  (v1_xboole_0(B) => v7_graph_1(B, A)) ) ) ) ) ).
fof(cc2_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_graph_1(B, A) =>  ( (v2_funct_1(B) & v1_xboole_0(B))  =>  (v2_funct_1(B) & v9_graph_1(B, A)) ) ) ) ) ) ).
fof(rc6_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (? [B] :  (m3_graph_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v14_struct_0(B) & v1_graph_1(B)) ) ) ) ) ) ).
fof(d3_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_graph_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) => k3_graph_1(A, B)=k3_funct_2(u4_struct_0(A), u1_struct_0(A), u1_graph_1(A), B)) ) ) ) ).
fof(d4_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_graph_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) => k4_graph_1(A, B)=k3_funct_2(u4_struct_0(A), u1_struct_0(A), u2_graph_1(A), B)) ) ) ) ).
fof(d5_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  ( (r1_partfun1(u1_graph_1(A), u1_graph_1(B)) & r1_partfun1(u2_graph_1(A), u2_graph_1(B)))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v1_graph_1(C) & l1_graph_1(C)) )  =>  (C=k5_graph_1(A, B) <=>  (u1_struct_0(C)=k2_xboole_0(u1_struct_0(A), u1_struct_0(B)) &  (u4_struct_0(C)=k2_xboole_0(u4_struct_0(A), u4_struct_0(B)) &  ( (! [D] :  (r2_tarski(D, u4_struct_0(A)) =>  (k1_funct_1(u1_graph_1(C), D)=k1_funct_1(u1_graph_1(A), D) & k1_funct_1(u2_graph_1(C), D)=k1_funct_1(u2_graph_1(A), D)) ) )  &  (! [D] :  (r2_tarski(D, u4_struct_0(B)) =>  (k1_funct_1(u1_graph_1(C), D)=k1_funct_1(u1_graph_1(B), D) & k1_funct_1(u2_graph_1(C), D)=k1_funct_1(u2_graph_1(B), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_graph_1(C))  =>  (r1_graph_1(A, B, C) <=>  (r1_partfun1(u2_graph_1(B), u2_graph_1(C)) &  (r1_partfun1(u1_graph_1(B), u1_graph_1(C)) & g1_graph_1(u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A))=k5_graph_1(B, C)) ) ) ) ) ) ) ) ) ).
fof(d7_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (v2_graph_1(A) <=>  (! [B] :  (! [C] :  ( (r2_tarski(B, u4_struct_0(A)) &  (r2_tarski(C, u4_struct_0(A)) &  (k1_funct_1(u1_graph_1(A), B)=k1_funct_1(u1_graph_1(A), C) & k1_funct_1(u2_graph_1(A), B)=k1_funct_1(u2_graph_1(A), C)) ) )  => B=C) ) ) ) ) ) ).
fof(d8_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (v3_graph_1(A) <=>  (! [B] :  (! [C] :  ( (r2_tarski(B, u4_struct_0(A)) & r2_tarski(C, u4_struct_0(A)))  =>  ( ( ~ ( (k1_funct_1(u1_graph_1(A), B)=k1_funct_1(u1_graph_1(A), C) & k1_funct_1(u2_graph_1(A), B)=k1_funct_1(u2_graph_1(A), C)) )  &  ~ ( (k1_funct_1(u1_graph_1(A), B)=k1_funct_1(u2_graph_1(A), C) & k1_funct_1(u1_graph_1(A), C)=k1_funct_1(u2_graph_1(A), B)) ) )  | B=C) ) ) ) ) ) ) ).
fof(d9_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (v4_graph_1(A) <=>  (! [B] :  ~ ( (r2_tarski(B, u4_struct_0(A)) & k1_funct_1(u1_graph_1(A), B)=k1_funct_1(u2_graph_1(A), B)) ) ) ) ) ) ).
fof(d10_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (v5_graph_1(A) <=>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_graph_1(C))  =>  ~ ( (r1_subset_1(u1_struct_0(B), u1_struct_0(C)) & r1_graph_1(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(d11_graph_1, axiom,  (! [A] :  (l1_graph_1(A) =>  (v6_graph_1(A) <=>  (v1_finset_1(u1_struct_0(A)) & v1_finset_1(u4_struct_0(A))) ) ) ) ).
fof(d12_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (r2_graph_1(A, B, C, D) <=>  ( (k1_funct_1(u1_graph_1(A), D)=B & k1_funct_1(u2_graph_1(A), D)=C)  |  (k1_funct_1(u1_graph_1(A), D)=C & k1_funct_1(u2_graph_1(A), D)=B) ) ) ) ) ) ) ) ) ) ).
fof(d13_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_graph_1(A, B, C) <=>  (? [D] :  (r2_tarski(D, u4_struct_0(A)) & r2_graph_1(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(d14_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (m1_graph_1(B, A) <=>  ( (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, k3_finseq_1(B)))  => r2_tarski(k1_funct_1(B, C), u4_struct_0(A))) ) )  &  (? [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  &  (k3_finseq_1(C)=k1_nat_1(k3_finseq_1(B), 1) &  ( (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, k3_finseq_1(C)))  => r2_tarski(k1_funct_1(C, D), u1_struct_0(A))) ) )  &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k3_finseq_1(B)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (E=k1_funct_1(C, D) &  (F=k1_funct_1(C, k1_nat_1(D, 1)) & r2_graph_1(A, E, F, k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_graph_1(B, A) =>  (v7_graph_1(B, A) <=>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(1, C) =>  (r1_xxreal_0(k3_finseq_1(B), C) | k1_funct_1(u1_graph_1(A), k1_funct_1(B, k1_nat_1(C, 1)))=k1_funct_1(u2_graph_1(A), k1_funct_1(B, C))) ) ) ) ) ) ) ) ) ).
fof(d16_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_graph_1(B, A) =>  (v2_funct_1(B) <=>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(1, C) &  ( ~ (r1_xxreal_0(D, C))  &  (r1_xxreal_0(D, k3_finseq_1(B)) & k1_funct_1(B, C)=k1_funct_1(B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( (v2_funct_1(B) & m2_graph_1(B, A))  =>  (v9_graph_1(B, A) <=>  (? [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  &  (k3_finseq_1(C)=k1_nat_1(k3_finseq_1(B), 1) &  ( (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, k3_finseq_1(C)))  => r2_tarski(k1_funct_1(C, D), u1_struct_0(A))) ) )  &  ( (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k3_finseq_1(B)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (E=k1_funct_1(C, D) &  (F=k1_funct_1(C, k1_nat_1(D, 1)) & r2_graph_1(A, E, F, k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ) )  & k1_funct_1(C, 1)=k1_funct_1(C, k3_finseq_1(C))) ) ) ) ) ) ) ) ) ) ).
fof(d18_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (m3_graph_1(B, A) <=>  (r1_tarski(u1_struct_0(B), u1_struct_0(A)) &  (r1_tarski(u4_struct_0(B), u4_struct_0(A)) &  (! [C] :  (r2_tarski(C, u4_struct_0(B)) =>  (k1_funct_1(u1_graph_1(B), C)=k1_funct_1(u1_graph_1(A), C) &  (k1_funct_1(u2_graph_1(B), C)=k1_funct_1(u2_graph_1(A), C) &  (r2_tarski(k1_funct_1(u1_graph_1(A), C), u1_struct_0(B)) & r2_tarski(k1_funct_1(u2_graph_1(A), C), u1_struct_0(B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_graph_1(A) & l1_graph_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (B=k6_graph_1(A) <=>  (? [C] :  (v1_finset_1(C) &  (C=u1_struct_0(A) & B=k4_card_1(C)) ) ) ) ) ) ) ) ).
fof(d20_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_graph_1(A) & l1_graph_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (B=k7_graph_1(A) <=>  (? [C] :  (v1_finset_1(C) &  (C=u4_struct_0(A) & B=k4_card_1(C)) ) ) ) ) ) ) ) ).
fof(d21_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_graph_1(A) & l1_graph_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (C=k8_graph_1(A, B) <=>  (? [D] :  (v1_finset_1(D) &  ( (! [E] :  (r2_tarski(E, D) <=>  (r2_tarski(E, u4_struct_0(A)) & k1_funct_1(u2_graph_1(A), E)=B) ) )  & C=k4_card_1(D)) ) ) ) ) ) ) ) ) ) ).
fof(d22_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_graph_1(A) & l1_graph_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (C=k9_graph_1(A, B) <=>  (? [D] :  (v1_finset_1(D) &  ( (! [E] :  (r2_tarski(E, D) <=>  (r2_tarski(E, u4_struct_0(A)) & k1_funct_1(u1_graph_1(A), E)=B) ) )  & C=k4_card_1(D)) ) ) ) ) ) ) ) ) ) ).
fof(d23_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_graph_1(A) & l1_graph_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k10_graph_1(A, B)=k1_nat_1(k8_graph_1(A, B), k9_graph_1(A, B))) ) ) ) ).
fof(d24_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (r4_graph_1(A, B) <=> m3_graph_1(A, B)) ) ) ) ) ).
fof(d25_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (B=k11_graph_1(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  (v1_graph_1(C) & m3_graph_1(C, A)) ) ) ) ) ) ) ).
fof(t1_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (k1_relset_1(u4_struct_0(A), u1_graph_1(A))=u4_struct_0(A) & k1_relset_1(u4_struct_0(A), u2_graph_1(A))=u4_struct_0(A)) ) ) ).
fof(t2_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r2_tarski(B, u1_struct_0(A))) ) ) ) ).
fof(t3_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (r2_tarski(B, u4_struct_0(A)) =>  (r2_tarski(k1_funct_1(u1_graph_1(A), B), u1_struct_0(A)) & r2_tarski(k1_funct_1(u2_graph_1(A), B), u1_struct_0(A))) ) ) ) ) ).
fof(t4_graph_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  (m2_graph_1(C, B) => m2_graph_1(k2_partfun1(k4_ordinal1, u4_struct_0(B), C, k2_finseq_1(A)), B)) ) ) ) ) ) ).
fof(t5_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (r4_graph_1(B, A) =>  (r1_relset_1(u4_struct_0(B), u1_struct_0(B), u1_graph_1(B), u1_graph_1(A)) & r1_relset_1(u4_struct_0(B), u1_struct_0(B), u2_graph_1(B), u2_graph_1(A))) ) ) ) ) ) ).
fof(t6_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  ( (r1_partfun1(u1_graph_1(A), u1_graph_1(B)) & r1_partfun1(u2_graph_1(A), u2_graph_1(B)))  =>  (u1_graph_1(k5_graph_1(A, B))=k2_xboole_0(u1_graph_1(A), u1_graph_1(B)) & u2_graph_1(k5_graph_1(A, B))=k2_xboole_0(u2_graph_1(A), u2_graph_1(B))) ) ) ) ) ) ).
fof(t7_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_graph_1(A) & l1_graph_1(A)) )  => A=k5_graph_1(A, A)) ) ).
fof(t8_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  ( (r1_partfun1(u1_graph_1(A), u1_graph_1(B)) & r1_partfun1(u2_graph_1(A), u2_graph_1(B)))  => k5_graph_1(A, B)=k5_graph_1(B, A)) ) ) ) ) ).
fof(t9_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_graph_1(C))  =>  ( (r1_partfun1(u1_graph_1(A), u1_graph_1(B)) &  (r1_partfun1(u2_graph_1(A), u2_graph_1(B)) &  (r1_partfun1(u1_graph_1(A), u1_graph_1(C)) &  (r1_partfun1(u2_graph_1(A), u2_graph_1(C)) &  (r1_partfun1(u1_graph_1(B), u1_graph_1(C)) & r1_partfun1(u2_graph_1(B), u2_graph_1(C))) ) ) ) )  => k5_graph_1(k5_graph_1(A, B), C)=k5_graph_1(A, k5_graph_1(B, C))) ) ) ) ) ) ) ).
fof(t10_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_graph_1(C))  =>  (r1_graph_1(A, B, C) => r1_graph_1(A, C, B)) ) ) ) ) ) ) ).
fof(t11_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_graph_1(A) & l1_graph_1(A)) )  => r1_graph_1(A, A, A)) ) ).
fof(t12_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  ( (? [C] :  ( ( ~ (v2_struct_0(C))  & l1_graph_1(C))  &  (r4_graph_1(A, C) & r4_graph_1(B, C)) ) )  => k5_graph_1(A, B)=k5_graph_1(B, A)) ) ) ) ) ).
fof(t13_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_graph_1(C))  =>  ( (? [D] :  ( ( ~ (v2_struct_0(D))  & l1_graph_1(D))  &  (r4_graph_1(A, D) &  (r4_graph_1(B, D) & r4_graph_1(C, D)) ) ) )  => k5_graph_1(k5_graph_1(A, B), C)=k5_graph_1(A, k5_graph_1(B, C))) ) ) ) ) ) ) ).
fof(t14_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  => m2_graph_1(k1_xboole_0, A)) ) ).
fof(t15_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( (v1_graph_1(B) & m3_graph_1(B, A))  =>  (! [C] :  ( (v1_graph_1(C) & m3_graph_1(C, A))  =>  ( (u1_struct_0(B)=u1_struct_0(C) & u4_struct_0(B)=u4_struct_0(C))  => B=C) ) ) ) ) ) ) ).
fof(t16_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_graph_1(A) & l1_graph_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_graph_1(B) & l1_graph_1(B)) )  =>  ( (r4_graph_1(A, B) & r4_graph_1(B, A))  => A=B) ) ) ) ) ).
fof(t17_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_graph_1(C))  =>  ( (r4_graph_1(A, B) & r4_graph_1(B, C))  => r4_graph_1(A, C)) ) ) ) ) ) ) ).
fof(t18_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_graph_1(C))  =>  (r1_graph_1(A, B, C) =>  (r4_graph_1(B, A) & r4_graph_1(C, A)) ) ) ) ) ) ) ) ).
fof(t19_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  ( (r1_partfun1(u1_graph_1(A), u1_graph_1(B)) & r1_partfun1(u2_graph_1(A), u2_graph_1(B)))  =>  (r4_graph_1(A, k5_graph_1(A, B)) & r4_graph_1(B, k5_graph_1(A, B))) ) ) ) ) ) ).
fof(t20_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  ( (? [C] :  ( ( ~ (v2_struct_0(C))  & l1_graph_1(C))  &  (r4_graph_1(A, C) & r4_graph_1(B, C)) ) )  =>  (r4_graph_1(A, k5_graph_1(A, B)) & r4_graph_1(B, k5_graph_1(A, B))) ) ) ) ) ) ).
fof(t21_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_graph_1(C))  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l1_graph_1(D))  =>  ( (r4_graph_1(B, D) &  (r4_graph_1(C, D) & r1_graph_1(A, B, C)) )  => r4_graph_1(A, D)) ) ) ) ) ) ) ) ) ).
fof(t22_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_graph_1(C))  =>  ( (r4_graph_1(B, A) & r4_graph_1(C, A))  => r4_graph_1(k5_graph_1(B, C), A)) ) ) ) ) ) ) ).
fof(t23_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_graph_1(A) & l1_graph_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_graph_1(B) & l1_graph_1(B)) )  =>  (r4_graph_1(A, B) =>  (k5_graph_1(A, B)=B & k5_graph_1(B, A)=B) ) ) ) ) ) ).
fof(t24_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  ( (r1_partfun1(u1_graph_1(A), u1_graph_1(B)) & r1_partfun1(u2_graph_1(A), u2_graph_1(B)))  =>  ( ( ~ (k5_graph_1(A, B)=B)  &  ~ (k5_graph_1(B, A)=B) )  | r4_graph_1(A, B)) ) ) ) ) ) ).
fof(t25_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_graph_1(B) & l1_graph_1(B)) )  =>  (r4_graph_1(A, B) => v2_graph_1(A)) ) ) ) ) ).
fof(t26_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_graph_1(B) & l1_graph_1(B)) )  =>  (r4_graph_1(A, B) => v3_graph_1(A)) ) ) ) ) ).
fof(t27_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v4_graph_1(B) & l1_graph_1(B)) )  =>  (r4_graph_1(A, B) => v4_graph_1(A)) ) ) ) ) ).
fof(t28_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_graph_1(B) & l1_graph_1(B)) )  =>  (r2_tarski(B, k11_graph_1(A)) <=> r4_graph_1(B, A)) ) ) ) ) ).
fof(t29_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_graph_1(A) & l1_graph_1(A)) )  => r2_tarski(A, k11_graph_1(A))) ) ).
fof(t30_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_graph_1(B) & l1_graph_1(B)) )  =>  (r4_graph_1(B, A) <=> r1_tarski(k11_graph_1(B), k11_graph_1(A))) ) ) ) ) ).
fof(t31_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_graph_1(A) & l1_graph_1(A)) )  => r1_tarski(k1_tarski(A), k11_graph_1(A))) ) ).
fof(t32_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_graph_1(A) & l1_graph_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_graph_1(B) & l1_graph_1(B)) )  =>  ~ ( (r1_partfun1(u1_graph_1(A), u1_graph_1(B)) &  (r1_partfun1(u2_graph_1(A), u2_graph_1(B)) &  (r1_tarski(k11_graph_1(k5_graph_1(A, B)), k2_xboole_0(k11_graph_1(A), k11_graph_1(B))) &  ( ~ (r4_graph_1(A, B))  &  ~ (r4_graph_1(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(t33_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  ( (r1_partfun1(u1_graph_1(A), u1_graph_1(B)) & r1_partfun1(u2_graph_1(A), u2_graph_1(B)))  => r1_tarski(k2_xboole_0(k11_graph_1(A), k11_graph_1(B)), k11_graph_1(k5_graph_1(A, B)))) ) ) ) ) ).
fof(t34_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_graph_1(C))  =>  ( (r2_tarski(B, k11_graph_1(A)) & r2_tarski(C, k11_graph_1(A)))  => r2_tarski(k5_graph_1(B, C), k11_graph_1(A))) ) ) ) ) ) ) ).
fof(s1_graph_1, axiom,  (? [A] :  (! [B] :  (r2_tarski(B, A) <=>  ( (v1_graph_1(B) & m3_graph_1(B, f1_s1_graph_1))  & p1_s1_graph_1(B)) ) ) ) ).
fof(abstractness_v1_graph_1, axiom,  (! [A] :  (l1_graph_1(A) =>  (v1_graph_1(A) => A=g1_graph_1(u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A))) ) ) ).
fof(dt_l1_graph_1, axiom,  (! [A] :  (l1_graph_1(A) => l5_struct_0(A)) ) ).
fof(existence_l1_graph_1, axiom,  (? [A] : l1_graph_1(A)) ).
fof(dt_g1_graph_1, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, B, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) )  =>  (v1_graph_1(g1_graph_1(A, B, C, D)) & l1_graph_1(g1_graph_1(A, B, C, D))) ) ) ).
fof(free_g1_graph_1, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, B, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) )  =>  (! [E, F, G, H] :  (g1_graph_1(A, B, C, D)=g1_graph_1(E, F, G, H) =>  (A=E &  (B=F &  (C=G & D=H) ) ) ) ) ) ) ).
fof(dt_u1_graph_1, axiom,  (! [A] :  (l1_graph_1(A) =>  (v1_funct_1(u1_graph_1(A)) &  (v1_funct_2(u1_graph_1(A), u4_struct_0(A), u1_struct_0(A)) & m1_subset_1(u1_graph_1(A), k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), u1_struct_0(A))))) ) ) ) ).
fof(dt_u2_graph_1, axiom,  (! [A] :  (l1_graph_1(A) =>  (v1_funct_1(u2_graph_1(A)) &  (v1_funct_2(u2_graph_1(A), u4_struct_0(A), u1_struct_0(A)) & m1_subset_1(u2_graph_1(A), k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), u1_struct_0(A))))) ) ) ) ).
fof(dt_k1_graph_1, axiom,  (! [A, B] :  ( (l1_graph_1(A) & m1_subset_1(B, u4_struct_0(A)))  => m1_subset_1(k1_graph_1(A, B), u1_struct_0(A))) ) ).
fof(dt_k2_graph_1, axiom,  (! [A, B] :  ( (l1_graph_1(A) & m1_subset_1(B, u4_struct_0(A)))  => m1_subset_1(k2_graph_1(A, B), u1_struct_0(A))) ) ).
fof(dt_k3_graph_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_graph_1(A)) )  & m1_subset_1(B, u4_struct_0(A)))  => m1_subset_1(k3_graph_1(A, B), u1_struct_0(A))) ) ).
fof(redefinition_k3_graph_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_graph_1(A)) )  & m1_subset_1(B, u4_struct_0(A)))  => k3_graph_1(A, B)=k1_graph_1(A, B)) ) ).
fof(dt_k4_graph_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_graph_1(A)) )  & m1_subset_1(B, u4_struct_0(A)))  => m1_subset_1(k4_graph_1(A, B), u1_struct_0(A))) ) ).
fof(redefinition_k4_graph_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_graph_1(A)) )  & m1_subset_1(B, u4_struct_0(A)))  => k4_graph_1(A, B)=k2_graph_1(A, B)) ) ).
fof(dt_k5_graph_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  &  ( ~ (v2_struct_0(B))  & l1_graph_1(B)) )  =>  ( ~ (v2_struct_0(k5_graph_1(A, B)))  &  (v1_graph_1(k5_graph_1(A, B)) & l1_graph_1(k5_graph_1(A, B))) ) ) ) ).
fof(dt_m1_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_graph_1(B, A) =>  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) ) ) ) ).
fof(existence_m1_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (? [B] : m1_graph_1(B, A)) ) ) ).
fof(dt_m2_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_graph_1(B, A) => m2_finseq_1(B, u4_struct_0(A))) ) ) ) ).
fof(existence_m2_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (? [B] : m2_graph_1(B, A)) ) ) ).
fof(redefinition_m2_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_graph_1(B, A) <=> m1_graph_1(B, A)) ) ) ) ).
fof(redefinition_v8_graph_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  & m1_graph_1(B, A))  =>  (v8_graph_1(B, A) <=> v2_funct_1(B)) ) ) ).
fof(dt_m3_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m3_graph_1(B, A) =>  ( ~ (v2_struct_0(B))  & l1_graph_1(B)) ) ) ) ) ).
fof(existence_m3_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (? [B] : m3_graph_1(B, A)) ) ) ).
fof(dt_k6_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_graph_1(A) & l1_graph_1(A)) )  => m1_subset_1(k6_graph_1(A), k4_ordinal1)) ) ).
fof(dt_k7_graph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_graph_1(A) & l1_graph_1(A)) )  => m1_subset_1(k7_graph_1(A), k4_ordinal1)) ) ).
fof(dt_k8_graph_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_graph_1(A) & l1_graph_1(A)) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k8_graph_1(A, B), k4_ordinal1)) ) ).
fof(dt_k9_graph_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_graph_1(A) & l1_graph_1(A)) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k9_graph_1(A, B), k4_ordinal1)) ) ).
fof(dt_k10_graph_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_graph_1(A) & l1_graph_1(A)) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k10_graph_1(A, B), k4_ordinal1)) ) ).
fof(reflexivity_r4_graph_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  &  ( ~ (v2_struct_0(B))  & l1_graph_1(B)) )  => r4_graph_1(A, A)) ) ).
fof(dt_f1_s1_graph_1, axiom,  ( ~ (v2_struct_0(f1_s1_graph_1))  & l1_graph_1(f1_s1_graph_1)) ).
fof(d1_graph_1, axiom,  (! [A] :  (l1_graph_1(A) =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  ( ~ ( ( ~ (v11_struct_0(A))  &  ( ~ (v2_struct_0(A))  &  ~ (k1_graph_1(A, B)=k1_funct_1(u1_graph_1(A), B)) ) ) )  &  ( ~ ( ( ~ (v11_struct_0(A))  &  ~ (v2_struct_0(A)) ) )  => k1_graph_1(A, B)=o_1_0_graph_1(A)) ) ) ) ) ) ).
fof(d2_graph_1, axiom,  (! [A] :  (l1_graph_1(A) =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  ( ~ ( ( ~ (v11_struct_0(A))  &  ( ~ (v2_struct_0(A))  &  ~ (k2_graph_1(A, B)=k1_funct_1(u2_graph_1(A), B)) ) ) )  &  ( ~ ( ( ~ (v11_struct_0(A))  &  ~ (v2_struct_0(A)) ) )  => k2_graph_1(A, B)=o_1_0_graph_1(A)) ) ) ) ) ) ).
fof(dt_o_1_0_graph_1, axiom,  (! [A] :  (l1_graph_1(A) => m1_subset_1(o_1_0_graph_1(A), u1_struct_0(A))) ) ).
fof(rc1_graph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (? [B] :  (m1_graph_1(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u4_struct_0(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) & v1_graph_2(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_graph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_graph_1(B, A) =>  (v1_xboole_0(B) => v2_funct_1(B)) ) ) ) ) ).
fof(rc2_graph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (? [B] :  (m1_graph_1(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u4_struct_0(A)) &  (v1_funct_1(B) &  (v2_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) & v1_graph_2(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc2_graph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_graph_1(B, A) =>  (v1_xboole_0(B) => v7_graph_1(B, A)) ) ) ) ) ).
fof(t29_graph_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r2_graph_1(B, C, D, A) => r2_graph_1(B, D, C, A)) ) ) ) ) ) ) ) ).
fof(t30_graph_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ~ ( (r2_graph_1(B, C, D, A) &  (r2_graph_1(B, E, F, A) &  ( ~ ( (C=E & D=F) )  &  ~ ( (C=F & D=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_graph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r1_graph_2(A, B, C) <=>  (k3_finseq_1(B)=k1_nat_1(k3_finseq_1(C), 1) &  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, k3_finseq_1(C)))  => r2_graph_1(A, k7_partfun1(u1_struct_0(A), B, D), k7_partfun1(u1_struct_0(A), B, k1_nat_1(D, 1)), k1_funct_1(C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_graph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_graph_1(C, A) =>  (r1_graph_2(A, B, C) =>  (C=k1_xboole_0 | k1_graph_2(A, k10_xtuple_0(C))=k10_xtuple_0(B)) ) ) ) ) ) ) ) ).
fof(t32_graph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_graph_2(A, k12_finseq_1(u1_struct_0(A), B), k1_xboole_0)) ) ) ) ).
fof(t33_graph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_graph_1(B, A) =>  (? [C] :  (m2_finseq_1(C, u1_struct_0(A)) & r1_graph_2(A, C, B)) ) ) ) ) ) ).
fof(t34_graph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_graph_1(D, A) =>  ( (r1_graph_2(A, B, D) & r1_graph_2(A, C, D))  =>  (D=k1_xboole_0 |  (B=C |  ( ~ (k1_funct_1(B, 1)=k1_funct_1(C, 1))  &  (! [E] :  (m2_finseq_1(E, u1_struct_0(A)) =>  ~ ( (r1_graph_2(A, E, D) &  ( ~ (E=B)  &  ~ (E=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_graph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r2_graph_2(A, B) <=>  (r1_xxreal_0(1, k3_finseq_1(B)) &  (k1_card_1(k1_graph_2(A, k10_xtuple_0(B)))=2 &  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(C, k4_finseq_1(B)) & k1_funct_1(u1_graph_1(A), k1_funct_1(B, C))=k1_funct_1(u2_graph_1(A), k1_funct_1(B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_graph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_graph_1(C, A) =>  ( (r2_graph_2(A, C) & r1_graph_2(A, B, C))  =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(D, k4_finseq_1(C)) & k1_funct_1(B, D)=k1_funct_1(B, k1_nat_1(D, 1))) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_graph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_graph_1(C, A) =>  ( (r2_graph_2(A, C) & r1_graph_2(A, B, C))  => k10_xtuple_0(B)=k2_tarski(k1_funct_1(u1_graph_1(A), k1_funct_1(C, 1)), k1_funct_1(u2_graph_1(A), k1_funct_1(C, 1)))) ) ) ) ) ) ) ).
fof(t37_graph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_graph_1(C, A) =>  ( (r2_graph_2(A, C) & r1_graph_2(A, B, C))  =>  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) &  (v2_finseq_6(B) & v3_finseq_6(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_graph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_graph_1(B, A) =>  ~ ( (r2_graph_2(A, B) &  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (C=D)  &  (r1_graph_2(A, C, B) &  (r1_graph_2(A, D, B) &  (! [E] :  (m2_finseq_1(E, u1_struct_0(A)) =>  ~ ( (r1_graph_2(A, E, B) &  ( ~ (E=C)  &  ~ (E=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_graph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_graph_1(C, A) =>  (r1_graph_2(A, B, C) =>  ( (k1_card_1(u1_struct_0(A))=1 |  ( ~ (C=k1_xboole_0)  &  ~ (r2_graph_2(A, C)) ) )  <=>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (r1_graph_2(A, D, C) => D=B) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_graph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_graph_1(B, A) =>  ( (k1_card_1(u1_struct_0(A))=1 |  ( ~ (B=k1_xboole_0)  &  ~ (r2_graph_2(A, B)) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (C=k2_graph_2(A, B) <=> r1_graph_2(A, C, B)) ) ) ) ) ) ) ) ).
fof(t40_graph_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(B)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(B)) =>  (! [E] :  (m2_graph_1(E, B) =>  (! [F] :  (m2_graph_1(F, B) =>  ( (r1_graph_2(B, C, E) &  (F=k2_partfun1(k4_ordinal1, u4_struct_0(B), E, k2_finseq_1(A)) & D=k2_partfun1(k4_ordinal1, u1_struct_0(B), C, k2_finseq_1(k1_nat_1(A, 1)))) )  => r1_graph_2(B, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_graph_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l1_graph_1(D))  =>  (! [E] :  (m2_graph_1(E, D) =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, C) &  (r1_xxreal_0(C, k3_finseq_1(E)) & A=k5_finseq_6(u4_struct_0(D), E, B, C)) ) )  => m2_graph_1(A, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_graph_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_graph_1(C))  =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(C)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(C)) =>  (! [F] :  (m2_graph_1(F, C) =>  (! [G] :  (m2_graph_1(G, C) =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, B) &  (r1_xxreal_0(B, k3_finseq_1(F)) &  (G=k5_finseq_6(u4_struct_0(C), F, A, B) &  (r1_graph_2(C, D, F) & E=k5_finseq_6(u1_struct_0(C), D, A, k1_nat_1(B, 1))) ) ) ) )  => r1_graph_2(C, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_graph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_graph_1(D, A) =>  (! [E] :  (m2_graph_1(E, A) =>  ( (r1_graph_2(A, B, D) &  (r1_graph_2(A, C, E) & k1_funct_1(B, k3_finseq_1(B))=k1_funct_1(C, 1)) )  => m2_graph_1(k8_finseq_1(u4_struct_0(A), D, E), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_graph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (! [E] :  (m2_graph_1(E, A) =>  (! [F] :  (m2_graph_1(F, A) =>  (! [G] :  (m2_graph_1(G, A) =>  ( (r1_graph_2(A, C, F) &  (r1_graph_2(A, D, G) &  (k1_funct_1(C, k3_finseq_1(C))=k1_funct_1(D, 1) &  (E=k8_finseq_1(u4_struct_0(A), F, G) & B=k7_finseq_6(u1_struct_0(A), C, D)) ) ) )  => r1_graph_2(A, B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_graph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_graph_1(B, A) =>  (v1_graph_2(B, A) <=>  (? [C] :  (m2_finseq_1(C, u1_struct_0(A)) &  (r1_graph_2(A, C, B) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(E, k3_finseq_1(C)) & k1_funct_1(C, D)=k1_funct_1(C, E)) )  =>  (r1_xxreal_0(E, D) |  (D=1 & E=k3_finseq_1(C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_graph_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  ( (v1_graph_2(C, B) & m2_graph_1(C, B))  =>  (v1_graph_2(k2_partfun1(k4_ordinal1, u4_struct_0(B), C, k2_finseq_1(A)), B) & m2_graph_1(k2_partfun1(k4_ordinal1, u4_struct_0(B), C, k2_finseq_1(A)), B)) ) ) ) ) ) ) ).
fof(t46_graph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_graph_2(D, A) & m2_graph_1(D, A))  =>  ( (r1_graph_2(A, B, D) & r1_graph_2(A, C, D))  =>  (r1_xxreal_0(k3_finseq_1(D), 2) | B=C) ) ) ) ) ) ) ) ) ) ).
fof(t47_graph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_graph_2(C, A) & m2_graph_1(C, A))  =>  (r1_graph_2(A, B, C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(E, k3_finseq_1(B)) & k1_funct_1(B, D)=k1_funct_1(B, E)) )  =>  (r1_xxreal_0(E, D) |  (D=1 & E=k3_finseq_1(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_graph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_graph_1(C, A) =>  ~ ( ( ~ ( (v1_graph_2(C, A) & m2_graph_1(C, A)) )  &  (r1_graph_2(A, B, C) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(C)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(B)) =>  (! [F] :  (m2_graph_1(F, A) =>  (! [G] :  (m2_finseq_1(G, u1_struct_0(A)) =>  ~ ( ( ~ (r1_xxreal_0(k3_finseq_1(C), k3_finseq_1(F)))  &  (r1_graph_2(A, G, F) &  ( ~ (r1_xxreal_0(k3_finseq_1(B), k3_finseq_1(G)))  &  (k1_funct_1(B, 1)=k1_funct_1(G, 1) &  (k1_funct_1(B, k3_finseq_1(B))=k1_funct_1(G, k3_finseq_1(G)) &  (k15_finseq_1(D)=F & k15_finseq_1(E)=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_graph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_graph_1(C, A) =>  ~ ( (r1_graph_2(A, B, C) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(C)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(B)) =>  (! [F] :  ( (v1_graph_2(F, A) & m2_graph_1(F, A))  =>  (! [G] :  (m2_finseq_1(G, u1_struct_0(A)) =>  ~ ( (k15_finseq_1(D)=F &  (k15_finseq_1(E)=G &  (r1_graph_2(A, G, F) &  (k1_funct_1(B, 1)=k1_funct_1(G, 1) & k1_funct_1(B, k3_finseq_1(B))=k1_funct_1(G, k3_finseq_1(G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_graph_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_graph_1(C))  =>  ( (v2_funct_1(A) & m2_graph_1(A, C))  =>  (v2_funct_1(k5_relat_1(A, k2_finseq_1(B))) & m2_graph_1(k5_relat_1(A, k2_finseq_1(B)), C)) ) ) ) ) ) ) ) ).
fof(t51_graph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( (v1_graph_2(B, A) & m2_graph_1(B, A))  =>  ( ~ (r1_xxreal_0(k3_finseq_1(B), 2))  =>  (v2_funct_1(B) & m2_graph_1(B, A)) ) ) ) ) ) ).
fof(t52_graph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( (v1_graph_2(B, A) & m2_graph_1(B, A))  =>  ( (v2_funct_1(B) & m2_graph_1(B, A))  <=>  ~ ( ( ~ (k3_finseq_1(B)=k5_numbers)  &  ( ~ (k3_finseq_1(B)=1)  & k1_funct_1(B, 1)=k1_funct_1(B, 2)) ) ) ) ) ) ) ) ).
fof(d6_graph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( (v7_graph_1(B, A) & m2_graph_1(B, A))  =>  ( ~ (B=k1_xboole_0)  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (C=k3_graph_2(A, B) <=>  (r1_graph_2(A, C, B) & k1_funct_1(C, 1)=k1_funct_1(u1_graph_1(A), k1_funct_1(B, 1))) ) ) ) ) ) ) ) ) ).
fof(dt_k2_graph_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  & m1_graph_1(B, A))  => m2_finseq_1(k2_graph_2(A, B), u1_struct_0(A))) ) ).
fof(dt_k3_graph_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  &  (v7_graph_1(B, A) & m1_graph_1(B, A)) )  => m2_finseq_1(k3_graph_2(A, B), u1_struct_0(A))) ) ).
fof(d1_graph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] : k1_graph_2(A, B)=a_2_0_graph_2(A, B)) ) ) ).
fof(fraenkel_a_2_0_graph_2, axiom,  (! [A, B, C] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (r2_hidden(A, a_2_0_graph_2(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D &  (? [E] :  (m1_subset_1(E, u4_struct_0(B)) &  (r2_tarski(E, C) &  (D=k1_funct_1(u1_graph_1(B), E) | D=k1_funct_1(u2_graph_1(B), E)) ) ) ) ) ) ) ) ) ) ).
fof(fc1_graph_3, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_abian(A))  &  (v1_int_1(B) & v1_abian(B)) )  => v1_abian(k6_xcmplx_0(A, B))) ) ).
fof(rc1_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (? [B] :  (m1_graph_1(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u4_struct_0(A)) &  (v1_funct_1(B) &  (v2_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) & v1_msscyc_1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc2_graph_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_graph_1(A) & l1_graph_1(A)) )  & m1_subset_1(B, u1_struct_0(A)))  => v1_finset_1(k2_graph_3(A, B, C))) ) ).
fof(fc3_graph_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_graph_1(A) & l1_graph_1(A)) )  & m1_subset_1(B, u1_struct_0(A)))  => v1_finset_1(k3_graph_3(A, B, C))) ) ).
fof(fc4_graph_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_graph_1(A) & l1_graph_1(A)) )  & m1_subset_1(B, u1_struct_0(A)))  => v1_finset_1(k4_graph_3(A, B, C))) ) ).
fof(fc5_graph_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  &  (m1_subset_1(B, u1_struct_0(A)) & v1_xboole_0(C)) )  => v1_xboole_0(k2_graph_3(A, B, C))) ) ).
fof(fc6_graph_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  &  (m1_subset_1(B, u1_struct_0(A)) & v1_xboole_0(C)) )  => v1_xboole_0(k3_graph_3(A, B, C))) ) ).
fof(fc7_graph_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  &  (m1_subset_1(B, u1_struct_0(A)) & v1_xboole_0(C)) )  => v1_xboole_0(k4_graph_3(A, B, C))) ) ).
fof(fc8_graph_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_graph_1(A) & l1_graph_1(A)) )  & m1_subset_1(B, u1_struct_0(A)))  => v1_finset_1(k5_graph_3(A, B))) ) ).
fof(fc9_graph_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_graph_1(A) & l1_graph_1(A)) )  & m1_subset_1(B, u1_struct_0(A)))  => v1_finset_1(k6_graph_3(A, B))) ) ).
fof(fc10_graph_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_graph_1(A) & l1_graph_1(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  ( ~ (v2_struct_0(k8_graph_3(A, B, C)))  &  (v1_graph_1(k8_graph_3(A, B, C)) & v6_graph_1(k8_graph_3(A, B, C))) ) ) ) ).
fof(fc11_graph_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v5_graph_1(A) & l1_graph_1(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  ( ~ (v2_struct_0(k8_graph_3(A, B, C)))  &  (v1_graph_1(k8_graph_3(A, B, C)) & v5_graph_1(k8_graph_3(A, B, C))) ) ) ) ).
fof(fc12_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  ~ (v1_xboole_0(k9_graph_3(A))) ) ) ).
fof(t1_graph_3, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  ( (v1_abian(A) <=> v1_abian(B))  <=> v1_abian(k6_xcmplx_0(A, B))) ) ) ) ) ).
fof(t2_graph_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(D, k4_finseq_1(k4_finseq_6(A, B, C))) &  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_tarski(E, k4_finseq_1(A)) &  (k1_funct_1(A, E)=k1_funct_1(k4_finseq_6(A, B, C), D) &  (k1_nat_1(E, 1)=k2_xcmplx_0(B, D) &  (r1_xxreal_0(B, E) & r1_xxreal_0(E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_graph_1(B, A) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  ~ ( (r1_graph_2(A, C, B) & v1_xboole_0(C)) ) ) ) ) ) ) ) ).
fof(t4_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (r2_tarski(B, u4_struct_0(A)) =>  (v2_funct_1(k9_finseq_1(B)) & m2_graph_1(k9_finseq_1(B), A)) ) ) ) ) ).
fof(t5_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( (v2_funct_1(B) & m2_graph_1(B, A))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (v2_funct_1(k5_finseq_6(u4_struct_0(A), B, D, C)) & m2_graph_1(k5_finseq_6(u4_struct_0(A), B, D, C), A)) ) ) ) ) ) ) ) ) ).
fof(t6_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( (v2_funct_1(B) & m2_graph_1(B, A))  =>  (! [C] :  ( (v2_funct_1(C) & m2_graph_1(C, A))  =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(A)) =>  ( (r1_xboole_0(k10_xtuple_0(B), k10_xtuple_0(C)) &  (r1_graph_2(A, D, B) &  (r1_graph_2(A, E, C) & k1_funct_1(D, k3_finseq_1(D))=k1_funct_1(E, 1)) ) )  =>  (v2_funct_1(k8_finseq_1(u4_struct_0(A), B, C)) & m2_graph_1(k8_finseq_1(u4_struct_0(A), B, C), A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_graph_1(B, A) =>  (B=k1_xboole_0 => v1_msscyc_1(B, A)) ) ) ) ) ).
fof(t8_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v2_funct_1(C) &  (v1_msscyc_1(C, A) & m2_graph_1(C, A)) )  =>  (v2_funct_1(k8_finseq_1(u4_struct_0(A), k5_finseq_6(u4_struct_0(A), C, k1_nat_1(B, 1), k3_finseq_1(C)), k5_finseq_6(u4_struct_0(A), C, 1, B))) &  (v1_msscyc_1(k8_finseq_1(u4_struct_0(A), k5_finseq_6(u4_struct_0(A), C, k1_nat_1(B, 1), k3_finseq_1(C)), k5_finseq_6(u4_struct_0(A), C, 1, B)), A) & m2_graph_1(k8_finseq_1(u4_struct_0(A), k5_finseq_6(u4_struct_0(A), C, k1_nat_1(B, 1), k3_finseq_1(C)), k5_finseq_6(u4_struct_0(A), C, 1, B)), A)) ) ) ) ) ) ) ) ).
fof(t9_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( (v2_funct_1(B) & m2_graph_1(B, A))  =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(k1_nat_1(C, 1), k4_finseq_1(B)) =>  (k3_finseq_1(k8_finseq_1(u4_struct_0(A), k5_finseq_6(u4_struct_0(A), B, k1_nat_1(C, 1), k3_finseq_1(B)), k5_finseq_6(u4_struct_0(A), B, 1, C)))=k3_finseq_1(B) &  (k10_xtuple_0(k8_finseq_1(u4_struct_0(A), k5_finseq_6(u4_struct_0(A), B, k1_nat_1(C, 1), k3_finseq_1(B)), k5_finseq_6(u4_struct_0(A), B, 1, C)))=k10_xtuple_0(B) & k1_funct_1(k8_finseq_1(u4_struct_0(A), k5_finseq_6(u4_struct_0(A), B, k1_nat_1(C, 1), k3_finseq_1(B)), k5_finseq_6(u4_struct_0(A), B, 1, C)), 1)=k1_funct_1(B, k1_nat_1(C, 1))) ) ) ) ) ) ) ) ) ).
fof(t10_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v2_funct_1(C) &  (v1_msscyc_1(C, A) & m2_graph_1(C, A)) )  =>  ~ ( (r2_tarski(B, k4_finseq_1(C)) &  (! [D] :  ( (v2_funct_1(D) &  (v1_msscyc_1(D, A) & m2_graph_1(D, A)) )  =>  ~ ( (k1_funct_1(D, 1)=k1_funct_1(C, B) &  (k3_finseq_1(D)=k3_finseq_1(C) & k10_xtuple_0(D)=k10_xtuple_0(C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (C=k1_funct_1(u1_graph_1(A), B) & D=k1_funct_1(u2_graph_1(A), B))  => r1_graph_2(A, k2_finseq_4(u1_struct_0(A), D, C), k9_finseq_1(B))) ) ) ) ) ) ) ) ).
fof(t12_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_graph_1(B, A) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  ( (r2_tarski(D, u4_struct_0(A)) &  (r1_graph_2(A, C, B) & k1_funct_1(C, k3_finseq_1(C))=k1_funct_1(u1_graph_1(A), D)) )  =>  (m1_graph_1(k7_finseq_1(B, k9_finseq_1(D)), A) &  (? [E] :  (m2_finseq_1(E, u1_struct_0(A)) &  (E=k6_finseq_6(C, k10_finseq_1(k1_funct_1(u1_graph_1(A), D), k1_funct_1(u2_graph_1(A), D))) &  (r1_graph_2(A, E, k7_finseq_1(B, k9_finseq_1(D))) &  (k1_funct_1(E, 1)=k1_funct_1(C, 1) & k1_funct_1(E, k3_finseq_1(E))=k1_funct_1(u2_graph_1(A), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_graph_1(B, A) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  ( (r2_tarski(D, u4_struct_0(A)) &  (r1_graph_2(A, C, B) & k1_funct_1(C, k3_finseq_1(C))=k1_funct_1(u2_graph_1(A), D)) )  =>  (m1_graph_1(k7_finseq_1(B, k9_finseq_1(D)), A) &  (? [E] :  (m2_finseq_1(E, u1_struct_0(A)) &  (E=k6_finseq_6(C, k10_finseq_1(k1_funct_1(u2_graph_1(A), D), k1_funct_1(u1_graph_1(A), D))) &  (r1_graph_2(A, E, k7_finseq_1(B, k9_finseq_1(D))) &  (k1_funct_1(E, 1)=k1_funct_1(C, 1) & k1_funct_1(E, k3_finseq_1(E))=k1_funct_1(u1_graph_1(A), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_graph_1(B, A) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (r1_graph_2(A, C, B) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ~ ( (r2_tarski(D, k4_finseq_1(B)) &  ( ~ ( (k1_funct_1(C, D)=k1_funct_1(u2_graph_1(A), k1_funct_1(B, D)) & k1_funct_1(C, k1_nat_1(D, 1))=k1_funct_1(u1_graph_1(A), k1_funct_1(B, D))) )  &  ~ ( (k1_funct_1(C, D)=k1_funct_1(u1_graph_1(A), k1_funct_1(B, D)) & k1_funct_1(C, k1_nat_1(D, 1))=k1_funct_1(u2_graph_1(A), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_graph_1(B, A) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  ( (r1_graph_2(A, C, B) & r2_tarski(D, k10_xtuple_0(B)))  =>  (r2_tarski(k1_funct_1(u2_graph_1(A), D), k10_xtuple_0(C)) & r2_tarski(k1_funct_1(u1_graph_1(A), D), k10_xtuple_0(C))) ) ) ) ) ) ) ) ) ).
fof(t16_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  => k1_graph_3(A, k1_xboole_0)=k1_xboole_0) ) ).
fof(t17_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (! [C] :  ~ ( (r2_tarski(B, u4_struct_0(A)) &  (r2_tarski(B, C) & v1_xboole_0(k1_graph_3(A, C))) ) ) ) ) ) ) ).
fof(t18_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (v5_graph_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  (! [D] :  (m1_graph_1(D, A) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (v1_xboole_0(D))  &  (r1_graph_2(A, E, D) &  (k1_funct_1(E, 1)=B & k1_funct_1(E, k3_finseq_1(E))=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_graph_1(A) & l1_graph_1(A)) )  =>  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (r1_xboole_0(B, u4_struct_0(A)))  &  ( ~ (r2_tarski(C, k1_graph_3(A, B)))  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  ~ ( (r2_tarski(D, k1_graph_3(A, B)) &  ( ~ (r2_tarski(E, B))  &  (D=k1_funct_1(u2_graph_1(A), E) | D=k1_funct_1(u1_graph_1(A), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u4_struct_0(A))) =>  (D=k2_graph_3(A, B, C) <=>  (! [E] :  (r2_tarski(E, D) <=>  (r2_tarski(E, u4_struct_0(A)) &  (r2_tarski(E, C) & k1_funct_1(u2_graph_1(A), E)=B) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u4_struct_0(A))) =>  (D=k3_graph_3(A, B, C) <=>  (! [E] :  (r2_tarski(E, D) <=>  (r2_tarski(E, u4_struct_0(A)) &  (r2_tarski(E, C) & k1_funct_1(u1_graph_1(A), E)=B) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] : k4_graph_3(A, B, C)=k4_subset_1(u4_struct_0(A), k2_graph_3(A, B, C), k3_graph_3(A, B, C))) ) ) ) ) ).
fof(d4_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_graph_3(A, B)=k2_graph_3(A, B, u4_struct_0(A))) ) ) ) ).
fof(d5_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_graph_3(A, B)=k3_graph_3(A, B, u4_struct_0(A))) ) ) ) ).
fof(t20_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] : r1_tarski(k2_graph_3(A, B, C), k5_graph_3(A, B))) ) ) ) ) ).
fof(t21_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] : r1_tarski(k3_graph_3(A, B, C), k6_graph_3(A, B))) ) ) ) ) ).
fof(t22_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_graph_1(A) & l1_graph_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k4_card_1(k5_graph_3(A, B))=k8_graph_1(A, B)) ) ) ) ).
fof(t23_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_graph_1(A) & l1_graph_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k4_card_1(k6_graph_3(A, B))=k9_graph_1(A, B)) ) ) ) ).
fof(d6_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_graph_1(A) & l1_graph_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] : k7_graph_3(A, B, C)=k1_nat_1(k4_card_1(k2_graph_3(A, B, C)), k4_card_1(k3_graph_3(A, B, C)))) ) ) ) ) ).
fof(t24_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_graph_1(A) & l1_graph_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k10_graph_1(A, B)=k7_graph_3(A, B, u4_struct_0(A))) ) ) ) ).
fof(t25_graph_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_graph_1(B) & l1_graph_1(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  ~ ( ( ~ (k7_graph_3(B, C, A)=k5_numbers)  & v1_xboole_0(k4_graph_3(B, C, A))) ) ) ) ) ) ) ).
fof(t26_graph_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v6_graph_1(C) & l1_graph_1(C)) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  ~ ( (r2_tarski(A, u4_struct_0(C)) &  ( ~ (r2_tarski(A, B))  &  ( (D=k1_funct_1(u2_graph_1(C), A) | D=k1_funct_1(u1_graph_1(C), A))  & k10_graph_1(C, D)=k7_graph_3(C, D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t27_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_graph_1(A) & l1_graph_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (! [D] :  (r1_tarski(D, C) => k4_card_1(k2_graph_3(A, B, k6_subset_1(C, D)))=k6_xcmplx_0(k4_card_1(k2_graph_3(A, B, C)), k4_card_1(k2_graph_3(A, B, D)))) ) ) ) ) ) ) ).
fof(t28_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_graph_1(A) & l1_graph_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (! [D] :  (r1_tarski(D, C) => k4_card_1(k3_graph_3(A, B, k6_subset_1(C, D)))=k6_xcmplx_0(k4_card_1(k3_graph_3(A, B, C)), k4_card_1(k3_graph_3(A, B, D)))) ) ) ) ) ) ) ).
fof(t29_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_graph_1(A) & l1_graph_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (! [D] :  (r1_tarski(D, C) => k7_graph_3(A, B, k6_subset_1(C, D))=k6_xcmplx_0(k7_graph_3(A, B, C), k7_graph_3(A, B, D))) ) ) ) ) ) ) ).
fof(t30_graph_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_graph_1(B) & l1_graph_1(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (k2_graph_3(B, C, A)=k2_graph_3(B, C, k3_xboole_0(A, u4_struct_0(B))) & k3_graph_3(B, C, A)=k3_graph_3(B, C, k3_xboole_0(A, u4_struct_0(B)))) ) ) ) ) ) ).
fof(t31_graph_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_graph_1(B) & l1_graph_1(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k7_graph_3(B, C, A)=k7_graph_3(B, C, k3_xboole_0(A, u4_struct_0(B)))) ) ) ) ) ).
fof(t32_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_graph_1(A) & l1_graph_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_graph_1(C, A) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (r1_graph_2(A, D, C) =>  (v1_xboole_0(C) |  (r2_tarski(B, k10_xtuple_0(D)) <=>  ~ (k7_graph_3(A, B, k10_xtuple_0(C))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v5_graph_1(A) &  (v6_graph_1(A) & l1_graph_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ (k10_graph_1(A, B)=k5_numbers) ) ) ) ) ).
fof(d7_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v1_graph_1(D) & l1_graph_1(D)) )  =>  (D=k8_graph_3(A, B, C) <=>  (u1_struct_0(D)=u1_struct_0(A) &  (u4_struct_0(D)=k2_xboole_0(u4_struct_0(A), k1_tarski(u4_struct_0(A))) &  (u1_graph_1(D)=k1_funct_4(u1_graph_1(A), k17_funcop_1(u4_struct_0(A), B)) & u2_graph_1(D)=k1_funct_4(u2_graph_1(A), k17_funcop_1(u4_struct_0(A), C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(u4_struct_0(A), u4_struct_0(k8_graph_3(A, B, C))) &  (u4_struct_0(A)=k6_subset_1(u4_struct_0(k8_graph_3(A, B, C)), k1_tarski(u4_struct_0(A))) &  (k1_funct_1(u1_graph_1(k8_graph_3(A, B, C)), u4_struct_0(A))=B & k1_funct_1(u2_graph_1(k8_graph_3(A, B, C)), u4_struct_0(A))=C) ) ) ) ) ) ) ) ) ).
fof(t35_graph_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r2_tarski(A, u4_struct_0(B)) =>  (k1_funct_1(u1_graph_1(k8_graph_3(B, C, D)), A)=k1_funct_1(u1_graph_1(B), A) & k1_funct_1(u2_graph_1(k8_graph_3(B, C, D)), A)=k1_funct_1(u2_graph_1(B), A)) ) ) ) ) ) ) ) ) ).
fof(t36_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_graph_1(D, A) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(A)) =>  (! [F] :  (m2_finseq_1(F, u1_struct_0(k8_graph_3(A, B, C))) =>  ( (F=E & r1_graph_2(A, E, D))  => r1_graph_2(k8_graph_3(A, B, C), F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_graph_1(D, A) => m1_graph_1(D, k8_graph_3(A, B, C))) ) ) ) ) ) ) ) ).
fof(t38_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v2_funct_1(D) & m2_graph_1(D, A))  =>  (v2_funct_1(D) & m2_graph_1(D, k8_graph_3(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t39_graph_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k8_graph_3(B, C, D))) =>  (E=C =>  (C=D | k2_graph_3(k8_graph_3(B, C, D), E, A)=k2_graph_3(B, C, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_graph_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k8_graph_3(B, C, D))) =>  (E=D =>  (C=D | k3_graph_3(k8_graph_3(B, C, D), E, A)=k3_graph_3(B, D, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_graph_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k8_graph_3(B, C, D))) =>  ( (E=C & r2_tarski(u4_struct_0(B), A))  =>  (k3_graph_3(k8_graph_3(B, C, D), E, A)=k2_xboole_0(k3_graph_3(B, C, A), k1_tarski(u4_struct_0(B))) & r1_xboole_0(k3_graph_3(B, C, A), k1_tarski(u4_struct_0(B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_graph_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k8_graph_3(B, C, D))) =>  ( (E=D & r2_tarski(u4_struct_0(B), A))  =>  (k2_graph_3(k8_graph_3(B, C, D), E, A)=k2_xboole_0(k2_graph_3(B, D, A), k1_tarski(u4_struct_0(B))) & r1_xboole_0(k2_graph_3(B, D, A), k1_tarski(u4_struct_0(B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_graph_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k8_graph_3(B, D, E))) =>  (F=C =>  (C=E | k2_graph_3(k8_graph_3(B, D, E), F, A)=k2_graph_3(B, C, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_graph_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k8_graph_3(B, D, E))) =>  (F=C =>  (C=D | k3_graph_3(k8_graph_3(B, D, E), F, A)=k3_graph_3(B, C, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v2_funct_1(D) & m2_graph_1(D, k8_graph_3(A, B, C)))  =>  ( ~ (r2_tarski(u4_struct_0(A), k10_xtuple_0(D)))  =>  (v2_funct_1(D) & m2_graph_1(D, A)) ) ) ) ) ) ) ) ) ) ).
fof(t46_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (! [E] :  ( (v2_funct_1(E) & m2_graph_1(E, k8_graph_3(A, B, C)))  =>  (! [F] :  (m2_finseq_1(F, u1_struct_0(k8_graph_3(A, B, C))) =>  ( (D=F & r1_graph_2(k8_graph_3(A, B, C), F, E))  =>  (r2_tarski(u4_struct_0(A), k10_xtuple_0(E)) | r1_graph_2(A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_graph_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_graph_1(B) & l1_graph_1(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k8_graph_3(B, D, E))) =>  ( (F=C & r2_tarski(u4_struct_0(B), A))  =>  (D=E |  ( ( ~ (C=D)  &  ~ (C=E) )  | k7_graph_3(k8_graph_3(B, D, E), F, A)=k1_nat_1(k7_graph_3(B, C, A), 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_graph_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_graph_1(B) & l1_graph_1(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k8_graph_3(B, D, E))) =>  (F=C =>  (C=D |  (C=E | k7_graph_3(k8_graph_3(B, D, E), F, A)=k7_graph_3(B, C, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_graph_1(A) & l1_graph_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v2_funct_1(C) &  (v1_msscyc_1(C, A) & m2_graph_1(C, A)) )  => v1_abian(k7_graph_3(A, B, k10_xtuple_0(C)))) ) ) ) ) ) ).
fof(t50_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_graph_1(A) & l1_graph_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v2_funct_1(D) & m2_graph_1(D, A))  =>  (r1_graph_2(A, C, D) =>  (v1_msscyc_1(D, A) |  (v1_abian(k7_graph_3(A, B, k10_xtuple_0(D))) <=>  ( ~ (B=k1_funct_1(C, 1))  &  ~ (B=k1_funct_1(C, k3_finseq_1(C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_finseq_2(B, u4_struct_0(A)) =>  (B=k9_graph_3(A) <=>  (! [C] :  (r2_tarski(C, B) <=>  (v2_funct_1(C) &  (v1_msscyc_1(C, A) & m2_graph_1(C, A)) ) ) ) ) ) ) ) ) ).
fof(t51_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  => r2_tarski(k1_xboole_0, k9_graph_3(A))) ) ).
fof(t53_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_finseq_2(B, u4_struct_0(A), k9_graph_3(A)) =>  (! [C] :  (m2_finseq_2(C, u4_struct_0(A), k9_graph_3(A)) =>  ~ ( ( ~ (r1_xboole_0(k1_graph_3(A, k10_xtuple_0(B)), k1_graph_3(A, k10_xtuple_0(C))))  &  (r1_xboole_0(k10_xtuple_0(B), k10_xtuple_0(C)) &  ( ~ ( (B=k1_xboole_0 & C=k1_xboole_0) )  & v1_xboole_0(k11_graph_3(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t54_graph_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_graph_1(B) & l1_graph_1(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m2_finseq_2(D, u4_struct_0(B), k12_graph_3(B, C, A)) =>  (! [E] :  (v1_finset_1(E) =>  (E=u4_struct_0(B) =>  (k7_graph_3(B, C, A)=k5_numbers | r1_xxreal_0(k3_finseq_1(D), k4_card_1(E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_graph_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_graph_1(B) & l1_graph_1(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => v1_abian(k7_graph_3(B, D, A))) )  =>  (k7_graph_3(B, C, A)=k5_numbers |  (! [D] :  (m1_graph_3(D, u4_struct_0(B), k9_graph_3(B), k13_graph_3(B, C, A)) =>  ( ~ (v1_xboole_0(D))  &  (r1_tarski(k10_xtuple_0(D), A) & r2_tarski(C, k1_graph_3(B, k10_xtuple_0(D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_graph_1(A) &  (v6_graph_1(A) & l1_graph_1(A)) ) )  =>  (! [B] :  (m2_finseq_2(B, u4_struct_0(A), k9_graph_3(A)) =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => v1_abian(k10_graph_1(A, C))) )  =>  (k10_xtuple_0(B)=u4_struct_0(A) |  (v1_xboole_0(B) |  ( ~ (v1_xboole_0(k14_graph_3(A, B)))  &  ~ (r1_xxreal_0(k4_card_1(k10_xtuple_0(k14_graph_3(A, B))), k4_card_1(k10_xtuple_0(B)))) ) ) ) ) ) ) ) ) ).
fof(d14_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( (v2_funct_1(B) & m2_graph_1(B, A))  =>  (v1_graph_3(B, A) <=> k10_xtuple_0(B)=u4_struct_0(A)) ) ) ) ) ).
fof(t58_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_graph_1(A) & l1_graph_1(A)) )  =>  (! [B] :  ( (v2_funct_1(B) & m2_graph_1(B, A))  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  ( (v1_graph_3(B, A) & r1_graph_2(A, C, B))  => k10_xtuple_0(C)=u1_struct_0(A)) ) ) ) ) ) ) ).
fof(t59_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_graph_1(A) &  (v6_graph_1(A) & l1_graph_1(A)) ) )  =>  ( (? [B] :  ( (v2_funct_1(B) &  (v1_msscyc_1(B, A) & m2_graph_1(B, A)) )  & v1_graph_3(B, A)) )  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v1_abian(k10_graph_1(A, B))) ) ) ) ) ).
fof(t60_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_graph_1(A) &  (v6_graph_1(A) & l1_graph_1(A)) ) )  =>  ( ~ ( ( (? [B] :  ( (v2_funct_1(B) & m2_graph_1(B, A))  &  ( ~ (v1_msscyc_1(B, A))  & v1_graph_3(B, A)) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (v1_abian(k10_graph_1(A, D)) <=>  ( ~ (D=B)  &  ~ (D=C) ) ) ) ) ) ) ) ) ) ) ) )  &  ~ ( ( (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  ( ~ (B=C)  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (v1_abian(k10_graph_1(A, D)) <=>  ( ~ (D=B)  &  ~ (D=C) ) ) ) ) ) ) ) ) )  &  (! [B] :  ( (v2_funct_1(B) & m2_graph_1(B, A))  =>  ~ ( ( ~ (v1_msscyc_1(B, A))  & v1_graph_3(B, A)) ) ) ) ) ) ) ) ) ).
fof(dt_m1_graph_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  & m1_finseq_2(B, A))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(B))) )  =>  (! [D] :  (m1_graph_3(D, A, B, C) => m2_finseq_1(D, A)) ) ) ) ).
fof(existence_m1_graph_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  & m1_finseq_2(B, A))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(B))) )  =>  (? [D] : m1_graph_3(D, A, B, C)) ) ) ).
fof(redefinition_m1_graph_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  & m1_finseq_2(B, A))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(B))) )  =>  (! [D] :  (m1_graph_3(D, A, B, C) <=> m1_subset_1(D, C)) ) ) ) ).
fof(dt_k1_graph_3, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  => m1_subset_1(k1_graph_3(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(redefinition_k1_graph_3, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  => k1_graph_3(A, B)=k1_graph_2(A, B)) ) ).
fof(dt_k2_graph_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k2_graph_3(A, B, C), k1_zfmisc_1(u4_struct_0(A)))) ) ).
fof(dt_k3_graph_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k3_graph_3(A, B, C), k1_zfmisc_1(u4_struct_0(A)))) ) ).
fof(dt_k4_graph_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k4_graph_3(A, B, C), k1_zfmisc_1(u4_struct_0(A)))) ) ).
fof(dt_k5_graph_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k5_graph_3(A, B), k1_zfmisc_1(u4_struct_0(A)))) ) ).
fof(dt_k6_graph_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k6_graph_3(A, B), k1_zfmisc_1(u4_struct_0(A)))) ) ).
fof(dt_k7_graph_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_graph_1(A) & l1_graph_1(A)) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k7_graph_3(A, B, C), k4_ordinal1)) ) ).
fof(dt_k8_graph_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  ( ~ (v2_struct_0(k8_graph_3(A, B, C)))  &  (v1_graph_1(k8_graph_3(A, B, C)) & l1_graph_1(k8_graph_3(A, B, C))) ) ) ) ).
fof(dt_k9_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  => m1_finseq_2(k9_graph_3(A), u4_struct_0(A))) ) ).
fof(dt_k10_graph_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, k9_graph_3(A))) )  => m2_finseq_2(k10_graph_3(A, B, C), u4_struct_0(A), k9_graph_3(A))) ) ).
fof(dt_k11_graph_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  &  (m1_subset_1(B, k9_graph_3(A)) & m1_subset_1(C, k9_graph_3(A))) )  => m2_finseq_2(k11_graph_3(A, B, C), u4_struct_0(A), k9_graph_3(A))) ) ).
fof(dt_k12_graph_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_graph_1(A) & l1_graph_1(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  ( ~ (v1_xboole_0(k12_graph_3(A, B, C)))  & m1_finseq_2(k12_graph_3(A, B, C), u4_struct_0(A))) ) ) ).
fof(dt_k13_graph_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_graph_1(A) & l1_graph_1(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  ( ~ (v1_xboole_0(k13_graph_3(A, B, C)))  & m1_subset_1(k13_graph_3(A, B, C), k1_zfmisc_1(k9_graph_3(A)))) ) ) ).
fof(dt_k14_graph_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v5_graph_1(A) &  (v6_graph_1(A) & l1_graph_1(A)) ) )  & m1_subset_1(B, k9_graph_3(A)))  => m2_finseq_2(k14_graph_3(A, B), u4_struct_0(A), k9_graph_3(A))) ) ).
fof(t52_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_2(C, u4_struct_0(A), k9_graph_3(A)) =>  (r2_tarski(B, k1_graph_3(A, k10_xtuple_0(C))) =>  ( ~ (v1_xboole_0(a_3_0_graph_3(A, B, C)))  & m1_subset_1(a_3_0_graph_3(A, B, C), k1_zfmisc_1(k9_graph_3(A)))) ) ) ) ) ) ) ) ).
fof(d9_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_2(C, u4_struct_0(A), k9_graph_3(A)) =>  (r2_tarski(B, k1_graph_3(A, k10_xtuple_0(C))) => k10_graph_3(A, B, C)=o_3_1_graph_3(A, B, C)) ) ) ) ) ) ) ).
fof(d10_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_finseq_2(B, u4_struct_0(A), k9_graph_3(A)) =>  (! [C] :  (m2_finseq_2(C, u4_struct_0(A), k9_graph_3(A)) =>  (r1_xboole_0(k10_xtuple_0(B), k10_xtuple_0(C)) =>  (r1_xboole_0(k1_graph_3(A, k10_xtuple_0(B)), k1_graph_3(A, k10_xtuple_0(C))) |  (! [D] :  (m2_finseq_2(D, u4_struct_0(A), k9_graph_3(A)) =>  (D=k11_graph_3(A, B, C) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (E=o_3_2_graph_3(A, B, C) & D=k8_finseq_1(u4_struct_0(A), k10_graph_3(A, E, B), k10_graph_3(A, E, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_graph_1(A) & l1_graph_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ~ (k7_graph_3(A, B, C)=k5_numbers)  => k12_graph_3(A, B, C)=a_3_3_graph_3(A, B, C)) ) ) ) ) ) ).
fof(d12_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_graph_1(A) & l1_graph_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => v1_abian(k7_graph_3(A, D, C))) )  =>  (k7_graph_3(A, B, C)=k5_numbers | k13_graph_3(A, B, C)=a_3_4_graph_3(A, B, C)) ) ) ) ) ) ) ).
fof(t56_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_graph_1(A) &  (v6_graph_1(A) & l1_graph_1(A)) ) )  =>  (! [B] :  (m2_finseq_2(B, u4_struct_0(A), k9_graph_3(A)) =>  ~ ( ( ~ (k10_xtuple_0(B)=u4_struct_0(A))  &  ( ~ (v1_xboole_0(B))  &  ~ ( ( ~ (v1_xboole_0(a_2_0_graph_3(A, B)))  & m1_subset_1(a_2_0_graph_3(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ) ) ) ).
fof(d13_graph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_graph_1(A) &  (v6_graph_1(A) & l1_graph_1(A)) ) )  =>  (! [B] :  (m2_finseq_2(B, u4_struct_0(A), k9_graph_3(A)) =>  ~ ( ( ~ (k10_xtuple_0(B)=u4_struct_0(A))  &  ( ~ (v1_xboole_0(B))  &  ~ ( (! [C] :  (m2_finseq_2(C, u4_struct_0(A), k9_graph_3(A)) =>  (C=k14_graph_3(A, B) <=>  (? [D] :  (m2_finseq_2(D, u4_struct_0(A), k9_graph_3(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (E=o_2_1_graph_3(A, B) &  (D=o_3_5_graph_3(A, B, E) & C=k11_graph_3(A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_graph_3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  &  (m1_subset_1(C, u1_struct_0(B)) & m2_finseq_2(D, u4_struct_0(B), k9_graph_3(B))) )  =>  (r2_hidden(A, a_3_0_graph_3(B, C, D)) <=>  (? [E] :  (m2_finseq_2(E, u4_struct_0(B), k9_graph_3(B)) &  (A=E &  (k10_xtuple_0(E)=k10_xtuple_0(D) &  (? [F] :  (m2_finseq_1(F, u1_struct_0(B)) &  (r1_graph_2(B, F, E) & k1_funct_1(F, 1)=C) ) ) ) ) ) ) ) ) ) ).
fof(dt_o_3_1_graph_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m2_finseq_2(C, u4_struct_0(A), k9_graph_3(A))) )  => m1_subset_1(o_3_1_graph_3(A, B, C), a_3_0_graph_3(A, B, C))) ) ).
fof(dt_o_3_2_graph_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  &  (m2_finseq_2(B, u4_struct_0(A), k9_graph_3(A)) & m2_finseq_2(C, u4_struct_0(A), k9_graph_3(A))) )  => m1_subset_1(o_3_2_graph_3(A, B, C), k9_subset_1(u1_struct_0(A), k1_graph_3(A, k10_xtuple_0(B)), k1_graph_3(A, k10_xtuple_0(C))))) ) ).
fof(fraenkel_a_3_3_graph_3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v6_graph_1(B) & l1_graph_1(B)) )  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_3_3_graph_3(B, C, D)) <=>  (? [E] :  (m2_finseq_2(E, D, k3_finseq_2(D)) &  (A=E &  ( (v2_funct_1(E) & m2_graph_1(E, B))  &  ( ~ (v1_xboole_0(E))  &  (? [F] :  (m2_finseq_1(F, u1_struct_0(B)) &  (r1_graph_2(B, F, E) & k1_funct_1(F, 1)=C) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_4_graph_3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v6_graph_1(B) & l1_graph_1(B)) )  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_3_4_graph_3(B, C, D)) <=>  (? [E] :  (m2_finseq_2(E, u4_struct_0(B), k9_graph_3(B)) &  (A=E &  (r1_tarski(k10_xtuple_0(E), D) &  ( ~ (v1_xboole_0(E))  &  (? [F] :  (m2_finseq_1(F, u1_struct_0(B)) &  (r1_graph_2(B, F, E) & k1_funct_1(F, 1)=C) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_graph_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v5_graph_1(B) &  (v6_graph_1(B) & l1_graph_1(B)) ) )  & m2_finseq_2(C, u4_struct_0(B), k9_graph_3(B)))  =>  (r2_hidden(A, a_2_0_graph_3(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D &  (r2_tarski(D, k1_graph_3(B, k10_xtuple_0(C))) &  ~ (k10_graph_1(B, D)=k7_graph_3(B, D, k10_xtuple_0(C))) ) ) ) ) ) ) ) ).
fof(dt_o_2_1_graph_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v5_graph_1(A) &  (v6_graph_1(A) & l1_graph_1(A)) ) )  & m2_finseq_2(B, u4_struct_0(A), k9_graph_3(A)))  => m1_subset_1(o_2_1_graph_3(A, B), a_2_0_graph_3(A, B))) ) ).
fof(dt_o_3_5_graph_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v5_graph_1(A) &  (v6_graph_1(A) & l1_graph_1(A)) ) )  &  (m2_finseq_2(B, u4_struct_0(A), k9_graph_3(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_graph_3(o_3_5_graph_3(A, B, C), u4_struct_0(A), k9_graph_3(A), k13_graph_3(A, C, k6_subset_1(u4_struct_0(A), k10_xtuple_0(B))))) ) ).
fof(fc1_graph_3a, axiom,  ( ~ (v2_struct_0(k5_graph_3a))  &  (v5_graph_1(k5_graph_3a) & v6_graph_1(k5_graph_3a)) ) ).
fof(d1_graph_3a, axiom, k1_graph_3a=k2_enumset1(k5_numbers, 1, 2, 3)).
fof(d2_graph_3a, axiom, k2_graph_3a=k5_enumset1(10, 20, 30, 40, 50, 60, 70)).
fof(d3_graph_3a, axiom, k3_graph_3a=k5_enumset1(k4_tarski(10, k5_numbers), k4_tarski(20, k5_numbers), k4_tarski(30, k5_numbers), k4_tarski(40, 1), k4_tarski(50, 1), k4_tarski(60, 2), k4_tarski(70, 2))).
fof(d4_graph_3a, axiom, k4_graph_3a=k5_enumset1(k4_tarski(10, 1), k4_tarski(20, 2), k4_tarski(30, 3), k4_tarski(40, 2), k4_tarski(50, 2), k4_tarski(60, 3), k4_tarski(70, 3))).
fof(d5_graph_3a, axiom, k5_graph_3a=g1_graph_1(k1_graph_3a, k2_graph_3a, k3_graph_3a, k4_graph_3a)).
fof(t1_graph_3a, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_graph_3a)) =>  (A=k5_numbers => k10_graph_1(k5_graph_3a, A)=3) ) ) ).
fof(t2_graph_3a, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_graph_3a)) =>  (A=1 => k10_graph_1(k5_graph_3a, A)=3) ) ) ).
fof(t3_graph_3a, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_graph_3a)) =>  (A=2 => k10_graph_1(k5_graph_3a, A)=5) ) ) ).
fof(t4_graph_3a, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_graph_3a)) =>  (A=3 => k10_graph_1(k5_graph_3a, A)=3) ) ) ).
fof(t5_graph_3a, axiom,  (! [A] :  ( (v2_funct_1(A) & m2_graph_1(A, k5_graph_3a))  =>  ~ ( (v1_msscyc_1(A, k5_graph_3a) & v1_graph_3(A, k5_graph_3a)) ) ) ) ).
fof(t6_graph_3a, axiom,  (! [A] :  ( (v2_funct_1(A) & m2_graph_1(A, k5_graph_3a))  =>  ~ ( ( ~ (v1_msscyc_1(A, k5_graph_3a))  & v1_graph_3(A, k5_graph_3a)) ) ) ) ).
fof(dt_k3_graph_3a, axiom,  (v1_funct_1(k3_graph_3a) &  (v1_funct_2(k3_graph_3a, k2_graph_3a, k1_graph_3a) & m1_subset_1(k3_graph_3a, k1_zfmisc_1(k2_zfmisc_1(k2_graph_3a, k1_graph_3a)))) ) ).
fof(dt_k4_graph_3a, axiom,  (v1_funct_1(k4_graph_3a) &  (v1_funct_2(k4_graph_3a, k2_graph_3a, k1_graph_3a) & m1_subset_1(k4_graph_3a, k1_zfmisc_1(k2_zfmisc_1(k2_graph_3a, k1_graph_3a)))) ) ).
fof(dt_k5_graph_3a, axiom,  ( ~ (v2_struct_0(k5_graph_3a))  & l1_graph_1(k5_graph_3a)) ).
fof(rc1_graph_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (? [B] :  (m1_graph_1(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u4_struct_0(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) &  (v7_graph_1(B, A) & v1_graph_4(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_graph_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (? [B] :  (m1_graph_1(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u4_struct_0(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) &  (v7_graph_1(B, A) & v1_graph_2(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_graph_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (r1_graph_4(A, B, C, D) <=>  (k1_funct_1(u1_graph_1(A), D)=B & k1_funct_1(u2_graph_1(A), D)=C) ) ) ) ) ) ) ) ) ).
fof(t1_graph_4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r1_graph_4(B, C, D, A) => r2_graph_1(B, C, D, A)) ) ) ) ) ) ) ) ).
fof(d2_graph_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_graph_4(A, B, C) <=>  (? [D] :  (r2_tarski(D, u4_struct_0(A)) & r1_graph_4(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t2_graph_4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( (r1_graph_4(B, C, D, A) & r1_graph_4(B, E, F, A))  =>  (C=E & D=F) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_graph_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (k1_graph_4(A, k1_xboole_0)=k1_xboole_0 & k2_graph_4(A, k1_xboole_0)=k1_xboole_0) ) ) ).
fof(d5_graph_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r3_graph_4(A, B, C) <=>  (k3_finseq_1(B)=k1_nat_1(k3_finseq_1(C), 1) &  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, k3_finseq_1(C)))  => r1_graph_4(A, k7_partfun1(u1_struct_0(A), B, D), k7_partfun1(u1_struct_0(A), B, k1_nat_1(D, 1)), k1_funct_1(C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_graph_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v7_graph_1(C, A) & m2_graph_1(C, A))  =>  (r3_graph_4(A, B, C) => r1_graph_2(A, B, C)) ) ) ) ) ) ) ).
fof(t5_graph_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v7_graph_1(C, A) & m2_graph_1(C, A))  =>  (r3_graph_4(A, B, C) => r1_tarski(k1_graph_4(A, k10_xtuple_0(C)), k10_xtuple_0(B))) ) ) ) ) ) ) ).
fof(t6_graph_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v7_graph_1(C, A) & m2_graph_1(C, A))  =>  (r3_graph_4(A, B, C) => r1_tarski(k2_graph_4(A, k10_xtuple_0(C)), k10_xtuple_0(B))) ) ) ) ) ) ) ).
fof(t7_graph_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v7_graph_1(C, A) & m2_graph_1(C, A))  =>  (r3_graph_4(A, B, C) =>  (C=k1_xboole_0 | r1_tarski(k10_xtuple_0(B), k2_xboole_0(k1_graph_4(A, k10_xtuple_0(C)), k2_graph_4(A, k10_xtuple_0(C))))) ) ) ) ) ) ) ) ).
fof(t8_graph_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r3_graph_4(A, k12_finseq_1(u1_struct_0(A), B), k1_xboole_0)) ) ) ) ).
fof(t9_graph_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( (v7_graph_1(B, A) & m2_graph_1(B, A))  =>  (? [C] :  (m2_finseq_1(C, u1_struct_0(A)) & r3_graph_4(A, C, B)) ) ) ) ) ) ).
fof(t10_graph_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v7_graph_1(D, A) & m2_graph_1(D, A))  =>  ( (r3_graph_4(A, B, D) & r3_graph_4(A, C, D))  =>  (D=k1_xboole_0 | B=C) ) ) ) ) ) ) ) ) ) ).
fof(d6_graph_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( (v7_graph_1(B, A) & m2_graph_1(B, A))  =>  ( ~ (B=k1_xboole_0)  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (C=k3_graph_4(A, B) <=> r3_graph_4(A, C, B)) ) ) ) ) ) ) ) ).
fof(t11_graph_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(B)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v7_graph_1(E, B) & m2_graph_1(E, B))  =>  (! [F] :  ( (v7_graph_1(F, B) & m2_graph_1(F, B))  =>  ( (r3_graph_4(B, C, E) &  (F=k2_partfun1(k4_ordinal1, u4_struct_0(B), E, k2_finseq_1(A)) & D=k2_partfun1(k4_ordinal1, u1_struct_0(B), C, k2_finseq_1(k1_nat_1(A, 1)))) )  => r3_graph_4(B, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_graph_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l1_graph_1(D))  =>  (! [E] :  ( (v7_graph_1(E, D) & m2_graph_1(E, D))  =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, C) &  (r1_xxreal_0(C, k3_finseq_1(E)) & A=k5_finseq_6(u4_struct_0(D), E, B, C)) ) )  =>  (v7_graph_1(A, D) & m2_graph_1(A, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_graph_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_graph_1(C))  =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(C)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(C)) =>  (! [F] :  ( (v7_graph_1(F, C) & m2_graph_1(F, C))  =>  (! [G] :  ( (v7_graph_1(G, C) & m2_graph_1(G, C))  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, B) &  (r1_xxreal_0(B, k3_finseq_1(F)) &  (G=k5_finseq_6(u4_struct_0(C), F, A, B) &  (r3_graph_4(C, D, F) & E=k5_finseq_6(u1_struct_0(C), D, A, k1_nat_1(B, 1))) ) ) ) )  => r3_graph_4(C, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_graph_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v7_graph_1(D, A) & m2_graph_1(D, A))  =>  (! [E] :  ( (v7_graph_1(E, A) & m2_graph_1(E, A))  =>  ( (r3_graph_4(A, B, D) &  (r3_graph_4(A, C, E) & k1_funct_1(B, k3_finseq_1(B))=k1_funct_1(C, 1)) )  =>  (v7_graph_1(k8_finseq_1(u4_struct_0(A), D, E), A) & m2_graph_1(k8_finseq_1(u4_struct_0(A), D, E), A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_graph_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (! [E] :  ( (v7_graph_1(E, A) & m2_graph_1(E, A))  =>  (! [F] :  ( (v7_graph_1(F, A) & m2_graph_1(F, A))  =>  (! [G] :  ( (v7_graph_1(G, A) & m2_graph_1(G, A))  =>  ( (r3_graph_4(A, C, F) &  (r3_graph_4(A, D, G) &  (k1_funct_1(C, k3_finseq_1(C))=k1_funct_1(D, 1) &  (E=k8_finseq_1(u4_struct_0(A), F, G) & B=k7_finseq_6(u1_struct_0(A), C, D)) ) ) )  => r3_graph_4(A, B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_graph_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( (v7_graph_1(B, A) & m2_graph_1(B, A))  =>  (v1_graph_4(B, A) <=>  (? [C] :  (m2_finseq_1(C, u1_struct_0(A)) &  (r3_graph_4(A, C, B) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(E, k3_finseq_1(C)) & k1_funct_1(C, D)=k1_funct_1(C, E)) )  =>  (r1_xxreal_0(E, D) |  (D=1 & E=k3_finseq_1(C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_graph_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  ( (v7_graph_1(C, B) & m2_graph_1(C, B))  =>  (v7_graph_1(k2_partfun1(k4_ordinal1, u4_struct_0(B), C, k2_finseq_1(A)), B) & m2_graph_1(k2_partfun1(k4_ordinal1, u4_struct_0(B), C, k2_finseq_1(A)), B)) ) ) ) ) ) ) ).
fof(t17_graph_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  ( (v7_graph_1(C, B) &  (v1_graph_2(C, B) & m2_graph_1(C, B)) )  =>  (v7_graph_1(k2_partfun1(k4_ordinal1, u4_struct_0(B), C, k2_finseq_1(A)), B) &  (v1_graph_2(k2_partfun1(k4_ordinal1, u4_struct_0(B), C, k2_finseq_1(A)), B) & m2_graph_1(k2_partfun1(k4_ordinal1, u4_struct_0(B), C, k2_finseq_1(A)), B)) ) ) ) ) ) ) ) ).
fof(t18_graph_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( (v7_graph_1(B, A) &  (v1_graph_2(B, A) & m2_graph_1(B, A)) )  =>  (! [C] :  ( (v7_graph_1(C, A) & m2_graph_1(C, A))  =>  (C=B => v1_graph_4(C, A)) ) ) ) ) ) ) ).
fof(t19_graph_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( (v7_graph_1(B, A) &  (v1_graph_4(B, A) & m2_graph_1(B, A)) )  =>  (v7_graph_1(B, A) &  (v1_graph_2(B, A) & m2_graph_1(B, A)) ) ) ) ) ) ).
fof(t20_graph_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v7_graph_1(C, A) & m2_graph_1(C, A))  =>  ~ ( ( ~ (v1_graph_4(C, A))  &  (r3_graph_4(A, B, C) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(C)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(B)) =>  (! [F] :  ( (v7_graph_1(F, A) & m2_graph_1(F, A))  =>  (! [G] :  (m2_finseq_1(G, u1_struct_0(A)) =>  ~ ( ( ~ (r1_xxreal_0(k3_finseq_1(C), k3_finseq_1(F)))  &  (r3_graph_4(A, G, F) &  ( ~ (r1_xxreal_0(k3_finseq_1(B), k3_finseq_1(G)))  &  (k1_funct_1(B, 1)=k1_funct_1(G, 1) &  (k1_funct_1(B, k3_finseq_1(B))=k1_funct_1(G, k3_finseq_1(G)) &  (k15_finseq_1(D)=F & k15_finseq_1(E)=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_graph_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v7_graph_1(C, A) & m2_graph_1(C, A))  =>  ~ ( (r3_graph_4(A, B, C) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(C)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(B)) =>  (! [F] :  ( (v7_graph_1(F, A) &  (v1_graph_2(F, A) & m2_graph_1(F, A)) )  =>  (! [G] :  (m2_finseq_1(G, u1_struct_0(A)) =>  ~ ( (k15_finseq_1(D)=F &  (k15_finseq_1(E)=G &  (r3_graph_4(A, G, F) &  (k1_funct_1(B, 1)=k1_funct_1(G, 1) & k1_funct_1(B, k3_finseq_1(B))=k1_funct_1(G, k3_finseq_1(G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_graph_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_graph_1(C))  =>  ( (v2_funct_1(A) &  (v7_graph_1(A, C) & m2_graph_1(A, C)) )  =>  (v2_funct_1(k5_relat_1(A, k2_finseq_1(B))) &  (v7_graph_1(k5_relat_1(A, k2_finseq_1(B)), C) & m2_graph_1(k5_relat_1(A, k2_finseq_1(B)), C)) ) ) ) ) ) ) ) ) ).
fof(t23_graph_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( (v7_graph_1(B, A) &  (v1_graph_2(B, A) & m2_graph_1(B, A)) )  =>  (v2_funct_1(B) &  (v7_graph_1(B, A) & m2_graph_1(B, A)) ) ) ) ) ) ).
fof(t24_graph_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( ( (v7_graph_1(B, A) &  (v1_graph_4(B, A) & m2_graph_1(B, A)) )  =>  (v7_graph_1(B, A) &  (v1_graph_2(B, A) & m2_graph_1(B, A)) ) )  &  ( ( (v7_graph_1(B, A) &  (v1_graph_2(B, A) & m2_graph_1(B, A)) )  =>  (v7_graph_1(B, A) &  (v1_graph_4(B, A) & m2_graph_1(B, A)) ) )  &  ( (v7_graph_1(B, A) &  (v1_graph_2(B, A) & m2_graph_1(B, A)) )  =>  (v2_funct_1(B) &  (v7_graph_1(B, A) & m2_graph_1(B, A)) ) ) ) ) ) ) ) ) ).
fof(dt_k3_graph_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  &  (v7_graph_1(B, A) & m1_graph_1(B, A)) )  => m2_finseq_1(k3_graph_4(A, B), u1_struct_0(A))) ) ).
fof(d3_graph_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] : k1_graph_4(A, B)=a_2_0_graph_4(A, B)) ) ) ).
fof(d4_graph_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] : k2_graph_4(A, B)=a_2_1_graph_4(A, B)) ) ) ).
fof(fraenkel_a_2_0_graph_4, axiom,  (! [A, B, C] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (r2_hidden(A, a_2_0_graph_4(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D &  (? [E] :  (m1_subset_1(E, u4_struct_0(B)) &  (r2_tarski(E, C) & D=k1_funct_1(u1_graph_1(B), E)) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_graph_4, axiom,  (! [A, B, C] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (r2_hidden(A, a_2_1_graph_4(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D &  (? [E] :  (m1_subset_1(E, u4_struct_0(B)) &  (r2_tarski(E, C) & D=k1_funct_1(u2_graph_1(B), E)) ) ) ) ) ) ) ) ) ).
fof(fc1_graph_5, axiom,  ~ (v1_xboole_0(k2_arytm_2)) ).
fof(fc2_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_graph_1(A) & l1_graph_1(A)) )  => v1_finset_1(k7_graph_5(A))) ) ).
fof(fc3_graph_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_graph_1(A) & l1_graph_1(A)) )  &  (v7_graph_1(B, A) & m1_graph_1(B, A)) )  => v1_finset_1(k6_graph_5(A, B))) ) ).
fof(fc4_graph_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_graph_1(A) & l1_graph_1(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => v1_finset_1(k4_graph_5(A, B, C))) ) ).
fof(fc5_graph_5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_graph_1(A) & l1_graph_1(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => v1_finset_1(k5_graph_5(A, B, C, D))) ) ).
fof(t1_graph_5, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ~ ( (r1_tarski(k10_xtuple_0(B), k10_xtuple_0(C)) &  (r2_tarski(A, k9_xtuple_0(B)) &  (! [D] :  ~ ( (r2_hidden(D, k9_xtuple_0(C)) & k1_funct_1(B, A)=k1_funct_1(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_graph_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  ( (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, B) &  ( ~ (r1_xxreal_0(C, B))  &  (r1_xxreal_0(C, k3_finseq_1(A)) & k1_funct_1(A, B)=k1_funct_1(A, C)) ) ) ) ) ) ) )  <=> v2_funct_1(A)) ) ) ).
fof(t7_graph_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  ( (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, B) &  ( ~ (r1_xxreal_0(C, B))  &  (r1_xxreal_0(C, k3_finseq_1(A)) & k1_funct_1(A, B)=k1_funct_1(A, C)) ) ) ) ) ) ) )  <=> k4_card_1(k10_xtuple_0(A))=k3_finseq_1(A)) ) ) ).
fof(t8_graph_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  (m2_finseq_1(C, u4_struct_0(B)) =>  (r2_tarski(A, k4_finseq_1(C)) =>  (r2_tarski(k1_funct_1(u1_graph_1(B), k1_funct_1(C, A)), u1_struct_0(B)) & r2_tarski(k1_funct_1(u2_graph_1(B), k1_funct_1(C, A)), u1_struct_0(B))) ) ) ) ) ) ) ) ).
fof(t9_graph_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ~ ( (v2_funct_1(k7_finseq_1(B, k9_finseq_1(C))) &  (r1_tarski(k10_xtuple_0(k7_finseq_1(B, k9_finseq_1(C))), k10_xtuple_0(A)) &  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  ~ ( (A=k7_finseq_1(k7_finseq_1(D, k9_finseq_1(C)), E) & r1_tarski(k10_xtuple_0(B), k10_xtuple_0(k7_finseq_1(D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_graph_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_graph_1(C))  =>  (m2_graph_1(k7_finseq_1(A, B), C) =>  (m2_graph_1(A, C) & m2_graph_1(B, C)) ) ) ) ) ) ) ) ).
fof(t11_graph_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_graph_1(C))  =>  ( (v7_graph_1(k7_finseq_1(A, B), C) & m2_graph_1(k7_finseq_1(A, B), C))  =>  ( (v7_graph_1(A, C) & m2_graph_1(A, C))  &  (v7_graph_1(B, C) & m2_graph_1(B, C)) ) ) ) ) ) ) ) ) ).
fof(t12_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( (v7_graph_1(B, A) & m2_graph_1(B, A))  =>  (! [C] :  ( (v7_graph_1(C, A) & m2_graph_1(C, A))  =>  (k1_funct_1(u2_graph_1(A), k1_funct_1(B, k3_finseq_1(B)))=k1_funct_1(u1_graph_1(A), k1_funct_1(C, 1)) =>  (v7_graph_1(k8_finseq_1(u4_struct_0(A), B, C), A) & m2_graph_1(k8_finseq_1(u4_struct_0(A), B, C), A)) ) ) ) ) ) ) ) ).
fof(t13_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (v7_graph_1(k1_xboole_0, A) &  (v1_graph_4(k1_xboole_0, A) & m2_graph_1(k1_xboole_0, A)) ) ) ) ).
fof(t14_graph_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_graph_1(C))  =>  ( (v7_graph_1(k7_finseq_1(A, B), C) &  (v1_graph_4(k7_finseq_1(A, B), C) & m2_graph_1(k7_finseq_1(A, B), C)) )  =>  ( (v7_graph_1(A, C) &  (v1_graph_4(A, C) & m2_graph_1(A, C)) )  &  (v7_graph_1(B, C) &  (v1_graph_4(B, C) & m2_graph_1(B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t15_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_finseq_1(B, u4_struct_0(A)) =>  (k3_finseq_1(B)=1 =>  (v7_graph_1(B, A) &  (v1_graph_4(B, A) & m2_graph_1(B, A)) ) ) ) ) ) ) ).
fof(t16_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( (v7_graph_1(B, A) &  (v1_graph_4(B, A) & m2_graph_1(B, A)) )  =>  (! [C] :  (m2_finseq_1(C, u4_struct_0(A)) =>  ( (r1_xxreal_0(1, k3_finseq_1(B)) &  (k3_finseq_1(C)=1 &  (k1_funct_1(u1_graph_1(A), k1_funct_1(C, 1))=k1_funct_1(u2_graph_1(A), k1_funct_1(B, k3_finseq_1(B))) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k3_finseq_1(B)) & k1_funct_1(u2_graph_1(A), k1_funct_1(B, D))=k1_funct_1(u2_graph_1(A), k1_funct_1(C, 1))) ) ) ) ) ) ) )  =>  (k1_funct_1(u1_graph_1(A), k1_funct_1(B, 1))=k1_funct_1(u2_graph_1(A), k1_funct_1(B, k3_finseq_1(B))) |  (v7_graph_1(k8_finseq_1(u4_struct_0(A), B, C), A) &  (v1_graph_4(k8_finseq_1(u4_struct_0(A), B, C), A) & m2_graph_1(k8_finseq_1(u4_struct_0(A), B, C), A)) ) ) ) ) ) ) ) ) ) ).
fof(t17_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( (v7_graph_1(B, A) &  (v1_graph_4(B, A) & m2_graph_1(B, A)) )  => v2_funct_1(B)) ) ) ) ).
fof(d1_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) => k1_graph_5(A, B)=k2_tarski(k1_funct_1(u1_graph_1(A), B), k1_funct_1(u2_graph_1(A), B))) ) ) ) ).
fof(t18_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_finseq_1(B, u4_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u4_struct_0(A)) =>  (! [D] :  ( (v7_graph_1(D, A) &  (v1_graph_4(D, A) & m2_graph_1(D, A)) )  =>  ( (D=k8_finseq_1(u4_struct_0(A), B, C) &  (r1_xxreal_0(1, k3_finseq_1(B)) & r1_xxreal_0(1, k3_finseq_1(C))) )  =>  (k1_funct_1(u1_graph_1(A), k1_funct_1(D, 1))=k1_funct_1(u2_graph_1(A), k1_funct_1(D, k3_finseq_1(D))) |  ( ~ (r2_tarski(k1_funct_1(u1_graph_1(A), k1_funct_1(D, 1)), k2_graph_5(A, C)))  &  ~ (r2_tarski(k1_funct_1(u2_graph_1(A), k1_funct_1(D, k3_finseq_1(D))), k2_graph_5(A, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_graph_5, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  (m2_finseq_1(C, u4_struct_0(B)) =>  (r1_tarski(k2_graph_5(B, C), A) <=>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(C)) => r1_tarski(k1_graph_5(B, k7_partfun1(u4_struct_0(B), C, D)), A)) ) ) ) ) ) ) ) ) ).
fof(t20_graph_5, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  (m2_finseq_1(C, u4_struct_0(B)) =>  ~ ( ( ~ (r1_tarski(k2_graph_5(B, C), A))  &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m2_finseq_1(E, u4_struct_0(B)) =>  (! [F] :  (m2_finseq_1(F, u4_struct_0(B)) =>  ~ ( (r1_xxreal_0(k1_nat_1(D, 1), k3_finseq_1(C)) &  ( ~ (r1_tarski(k1_graph_5(B, k7_partfun1(u4_struct_0(B), C, k1_nat_1(D, 1))), A))  &  (k3_finseq_1(E)=D &  (C=k8_finseq_1(u4_struct_0(B), E, F) & r1_tarski(k2_graph_5(B, E), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_finseq_1(B, u4_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u4_struct_0(A)) =>  (r1_tarski(k10_xtuple_0(C), k10_xtuple_0(B)) => r1_tarski(k2_graph_5(A, C), k2_graph_5(A, B))) ) ) ) ) ) ) ).
fof(t22_graph_5, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_graph_1(C))  =>  (! [D] :  (m2_finseq_1(D, u4_struct_0(C)) =>  (! [E] :  (m2_finseq_1(E, u4_struct_0(C)) =>  ( (r1_tarski(k10_xtuple_0(E), k10_xtuple_0(D)) & r1_tarski(k7_subset_1(u1_struct_0(C), k2_graph_5(C, D), A), B))  => r1_tarski(k7_subset_1(u1_struct_0(C), k2_graph_5(C, E), A), B)) ) ) ) ) ) ) ) ) ).
fof(t23_graph_5, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_graph_1(C))  =>  (! [D] :  (m2_finseq_1(D, u4_struct_0(C)) =>  (! [E] :  (m2_finseq_1(E, u4_struct_0(C)) =>  (r1_tarski(k7_subset_1(u1_struct_0(C), k2_graph_5(C, k8_finseq_1(u4_struct_0(C), D, E)), A), B) =>  (r1_tarski(k7_subset_1(u1_struct_0(C), k2_graph_5(C, D), A), B) & r1_tarski(k7_subset_1(u1_struct_0(C), k2_graph_5(C, E), A), B)) ) ) ) ) ) ) ) ) ) ).
fof(t24_graph_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  (m2_finseq_1(C, u4_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r2_tarski(A, k4_finseq_1(C)) =>  ( ( ~ (D=k1_funct_1(u1_graph_1(B), k1_funct_1(C, A)))  &  ~ (D=k1_funct_1(u2_graph_1(B), k1_funct_1(C, A))) )  | r2_tarski(D, k2_graph_5(B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t25_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_finseq_1(B, u4_struct_0(A)) =>  (k3_finseq_1(B)=1 => k2_graph_5(A, B)=k1_graph_5(A, k7_partfun1(u4_struct_0(A), B, 1))) ) ) ) ) ).
fof(t26_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_finseq_1(B, u4_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u4_struct_0(A)) =>  (r1_tarski(k2_graph_5(A, B), k2_graph_5(A, k8_finseq_1(u4_struct_0(A), B, C))) & r1_tarski(k2_graph_5(A, C), k2_graph_5(A, k8_finseq_1(u4_struct_0(A), B, C)))) ) ) ) ) ) ) ).
fof(t27_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_finseq_1(B, u4_struct_0(A)) =>  (! [C] :  ( (v7_graph_1(C, A) & m2_graph_1(C, A))  =>  (! [D] :  ( (v7_graph_1(D, A) & m2_graph_1(D, A))  =>  ( (C=k8_finseq_1(u4_struct_0(A), D, B) &  (r1_xxreal_0(1, k3_finseq_1(D)) & k3_finseq_1(B)=1) )  => k2_graph_5(A, C)=k2_xboole_0(k2_graph_5(A, D), k1_tarski(k1_funct_1(u2_graph_1(A), k1_funct_1(B, 1))))) ) ) ) ) ) ) ) ) ).
fof(t28_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v7_graph_1(C, A) & m2_graph_1(C, A))  =>  ~ ( ( ~ (B=k1_funct_1(u1_graph_1(A), k1_funct_1(C, 1)))  &  (r2_tarski(B, k2_graph_5(A, C)) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k3_finseq_1(C)) & B=k1_funct_1(u2_graph_1(A), k1_funct_1(C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( (v7_graph_1(B, A) & m2_graph_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_graph_5(A, B, C, D) <=>  ( ~ (B=k1_xboole_0)  &  (k1_funct_1(u1_graph_1(A), k1_funct_1(B, 1))=C & k1_funct_1(u2_graph_1(A), k1_funct_1(B, k3_finseq_1(B)))=D) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v7_graph_1(D, A) & m2_graph_1(D, A))  =>  (! [E] :  (r2_graph_5(A, B, C, D, E) <=>  (r1_graph_5(A, D, B, C) & r1_tarski(k7_subset_1(u1_struct_0(A), k2_graph_5(A, D), k1_tarski(C)), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v7_graph_1(D, A) & m2_graph_1(D, A))  =>  (r1_graph_5(A, D, B, C) =>  (r2_tarski(B, k2_graph_5(A, D)) & r2_tarski(C, k2_graph_5(A, D))) ) ) ) ) ) ) ) ) ) ).
fof(t30_graph_5, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r2_tarski(A, k3_graph_5(B, C, D)) <=>  (? [E] :  ( (v7_graph_1(E, B) & m2_graph_1(E, B))  &  (E=A & r1_graph_5(B, E, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_graph_5, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v7_graph_1(E, B) & m2_graph_1(E, B))  =>  (r2_graph_5(B, C, D, E, A) =>  (C=D | r2_tarski(C, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_graph_5, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_graph_1(C))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  ( (v7_graph_1(F, C) & m2_graph_1(F, C))  =>  ( (r2_graph_5(C, D, E, F, A) & r1_tarski(A, B))  => r2_graph_5(C, D, E, F, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_finseq_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  ( (v7_graph_1(F, A) & m2_graph_1(F, A))  =>  ~ ( (r1_xxreal_0(1, k3_finseq_1(F)) &  (r1_graph_5(A, F, C, D) &  (r1_graph_4(A, D, E, k1_funct_1(B, 1)) &  (k3_finseq_1(B)=1 &  (! [G] :  ( (v7_graph_1(G, A) & m2_graph_1(G, A))  =>  ~ ( (G=k8_finseq_1(u4_struct_0(A), F, B) & r1_graph_5(A, G, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_graph_5, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  (m2_finseq_1(C, u4_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  ( (v7_graph_1(G, B) & m2_graph_1(G, B))  =>  (! [H] :  ( (v7_graph_1(H, B) & m2_graph_1(H, B))  =>  ( (H=k8_finseq_1(u4_struct_0(B), G, C) &  (r1_xxreal_0(1, k3_finseq_1(G)) &  (k3_finseq_1(C)=1 &  (r2_graph_5(B, D, E, G, A) & r1_graph_4(B, E, F, k1_funct_1(C, 1))) ) ) )  => r2_graph_5(B, D, F, H, k2_xboole_0(A, k1_tarski(E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( (v7_graph_1(B, A) & m2_graph_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r3_graph_5(A, B, C, D) <=>  (v1_graph_4(B, A) & r1_graph_5(A, B, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(d7_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( (v7_graph_1(B, A) & m2_graph_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (r4_graph_5(A, B, C, D, E) <=>  (v1_graph_4(B, A) & r2_graph_5(A, C, D, B, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v7_graph_1(D, A) & m2_graph_1(D, A))  =>  ~ ( (D=k1_xboole_0 & r3_graph_5(A, D, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t36_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v7_graph_1(D, A) & m2_graph_1(D, A))  =>  (r3_graph_5(A, D, B, C) => r1_graph_5(A, D, B, C)) ) ) ) ) ) ) ) ) ).
fof(t37_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_tarski(k4_graph_5(A, B, C), k3_graph_5(A, B, C))) ) ) ) ) ) ).
fof(t38_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( (v7_graph_1(B, A) & m2_graph_1(B, A))  => r1_tarski(k6_graph_5(A, B), k7_graph_5(A))) ) ) ) ).
fof(t39_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_tarski(k4_graph_5(A, B, C), k7_graph_5(A))) ) ) ) ) ) ).
fof(t40_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v7_graph_1(D, A) & m2_graph_1(D, A))  =>  (r1_graph_5(A, D, B, C) => r1_tarski(k6_graph_5(A, D), k4_graph_5(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t41_graph_5, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v7_graph_1(E, B) & m2_graph_1(E, B))  =>  (r2_graph_5(B, C, D, E, A) => r1_tarski(k6_graph_5(B, E), k5_graph_5(B, C, D, A))) ) ) ) ) ) ) ) ) ) ).
fof(t42_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( (v7_graph_1(B, A) & m2_graph_1(B, A))  =>  (! [C] :  ( (v7_graph_1(C, A) & m2_graph_1(C, A))  =>  (r2_tarski(C, k6_graph_5(A, B)) => r1_xxreal_0(k3_finseq_1(C), k3_finseq_1(B))) ) ) ) ) ) ) ).
fof(t43_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v7_graph_1(D, A) & m2_graph_1(D, A))  =>  (r1_graph_5(A, D, B, C) =>  ( ~ (k6_graph_5(A, D)=k1_xboole_0)  &  ~ (k4_graph_5(A, B, C)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_graph_5, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v7_graph_1(E, B) & m2_graph_1(E, B))  =>  (r2_graph_5(B, C, D, E, A) =>  ( ~ (k6_graph_5(B, E)=k1_xboole_0)  &  ~ (k5_graph_5(B, C, D, A)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_graph_5, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => r1_tarski(k5_graph_5(B, C, D, A), k7_graph_5(B))) ) ) ) ) ) ) ).
fof(d13_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r5_graph_5(A, B) <=>  (v1_funct_1(B) &  (v1_funct_2(B, u4_struct_0(A), k8_graph_5) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), k8_graph_5)))) ) ) ) ) ) ) ).
fof(d14_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r6_graph_5(A, B) <=>  (v1_funct_1(B) &  (v1_funct_2(B, u4_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), k1_numbers)))) ) ) ) ) ) ) ).
fof(d15_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_finseq_1(B, u4_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r6_graph_5(A, C) =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  (D=k9_graph_5(A, B, C) <=>  (k4_finseq_1(B)=k4_finseq_1(D) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(B)) => k1_funct_1(D, E)=k1_funct_1(C, k1_funct_1(B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_finseq_1(B, u4_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => k10_graph_5(A, B, C)=k18_rvsum_1(k9_graph_5(A, B, C))) ) ) ) ) ) ).
fof(t46_graph_5, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (r5_graph_5(B, A) => r6_graph_5(B, A)) ) ) ) ) ).
fof(t47_graph_5, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  (m2_finseq_1(C, u4_struct_0(B)) =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  ( (r5_graph_5(B, A) & D=k9_graph_5(B, C, A))  =>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) => r1_xxreal_0(k5_numbers, k1_funct_1(D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_graph_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_graph_1(C))  =>  (! [D] :  (m2_finseq_1(D, u4_struct_0(C)) =>  (! [E] :  (m2_finseq_1(E, u4_struct_0(C)) =>  ~ ( (r1_tarski(k10_xtuple_0(E), k10_xtuple_0(D)) &  (r6_graph_5(C, B) &  (r2_tarski(A, k4_finseq_1(E)) &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r2_tarski(F, k4_finseq_1(D)) & k1_funct_1(k9_graph_5(C, D, B), F)=k1_funct_1(k9_graph_5(C, E, B), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_graph_5, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  (m2_finseq_1(C, u4_struct_0(B)) =>  (! [D] :  (m2_finseq_1(D, u4_struct_0(B)) =>  ( (k3_finseq_1(D)=1 &  (r1_tarski(k10_xtuple_0(D), k10_xtuple_0(C)) & r5_graph_5(B, A)) )  => r1_xxreal_0(k10_graph_5(B, D, A), k10_graph_5(B, C, A))) ) ) ) ) ) ) ) ) ).
fof(t50_graph_5, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  (m2_finseq_1(C, u4_struct_0(B)) =>  (r5_graph_5(B, A) => r1_xxreal_0(k5_numbers, k10_graph_5(B, C, A))) ) ) ) ) ) ) ).
fof(t51_graph_5, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  (m2_finseq_1(C, u4_struct_0(B)) =>  ( (C=k1_xboole_0 & r6_graph_5(B, A))  => k10_graph_5(B, C, A)=k5_numbers) ) ) ) ) ) ) ).
fof(t52_graph_5, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v1_finset_1(E) & m1_subset_1(E, k1_zfmisc_1(k3_finseq_2(u4_struct_0(B))))) )  =>  ~ ( (E=k4_graph_5(B, C, D) &  (! [F] :  (m2_finseq_1(F, u4_struct_0(B)) =>  ~ ( (r2_tarski(F, E) &  (! [G] :  (m2_finseq_1(G, u4_struct_0(B)) =>  (r2_tarski(G, E) => r1_xxreal_0(k10_graph_5(B, F, A), k10_graph_5(B, G, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_graph_5, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_graph_1(C))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  &  (v1_finset_1(F) & m1_subset_1(F, k1_zfmisc_1(k3_finseq_2(u4_struct_0(C))))) )  =>  ~ ( (F=k5_graph_5(C, D, E, A) &  (! [G] :  (m2_finseq_1(G, u4_struct_0(C)) =>  ~ ( (r2_tarski(G, F) &  (! [H] :  (m2_finseq_1(H, u4_struct_0(C)) =>  (r2_tarski(H, F) => r1_xxreal_0(k10_graph_5(C, G, B), k10_graph_5(C, H, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_graph_5, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  (m2_finseq_1(C, u4_struct_0(B)) =>  (! [D] :  (m2_finseq_1(D, u4_struct_0(B)) =>  (r6_graph_5(B, A) => k10_graph_5(B, k8_finseq_1(u4_struct_0(B), C, D), A)=k2_xcmplx_0(k10_graph_5(B, C, A), k10_graph_5(B, D, A))) ) ) ) ) ) ) ) ) ).
fof(t55_graph_5, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  (m2_finseq_1(C, u4_struct_0(B)) =>  (! [D] :  (m2_finseq_1(D, u4_struct_0(B)) =>  ( (v2_funct_1(D) &  (r1_tarski(k10_xtuple_0(D), k10_xtuple_0(C)) & r5_graph_5(B, A)) )  => r1_xxreal_0(k10_graph_5(B, D, A), k10_graph_5(B, C, A))) ) ) ) ) ) ) ) ) ).
fof(t56_graph_5, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (! [C] :  (m2_finseq_1(C, u4_struct_0(B)) =>  (! [D] :  ( (v7_graph_1(D, B) & m2_graph_1(D, B))  =>  ( (r2_tarski(C, k6_graph_5(B, D)) & r5_graph_5(B, A))  => r1_xxreal_0(k10_graph_5(B, C, A), k10_graph_5(B, D, A))) ) ) ) ) ) ) ) ) ).
fof(d17_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v7_graph_1(D, A) & m2_graph_1(D, A))  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (r7_graph_5(A, B, C, D, E) <=>  (r1_graph_5(A, D, B, C) &  (! [F] :  ( (v7_graph_1(F, A) & m2_graph_1(F, A))  =>  (r1_graph_5(A, F, B, C) => r1_xxreal_0(k10_graph_5(A, D, E), k10_graph_5(A, F, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v7_graph_1(D, A) & m2_graph_1(D, A))  =>  (! [E] :  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  (r8_graph_5(A, B, C, D, E, F) <=>  (r2_graph_5(A, B, C, D, E) &  (! [G] :  ( (v7_graph_1(G, A) & m2_graph_1(G, A))  =>  (r2_graph_5(A, B, C, G, E) => r1_xxreal_0(k10_graph_5(A, D, F), k10_graph_5(A, G, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_graph_1(A) & l1_graph_1(A)) )  =>  (! [B] :  ( (v7_graph_1(B, A) &  (v1_graph_4(B, A) & m2_graph_1(B, A)) )  => r1_xxreal_0(k3_finseq_1(B), k6_graph_1(A))) ) ) ) ).
fof(t58_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_graph_1(A) & l1_graph_1(A)) )  =>  (! [B] :  ( (v7_graph_1(B, A) &  (v1_graph_4(B, A) & m2_graph_1(B, A)) )  => r1_xxreal_0(k3_finseq_1(B), k7_graph_1(A))) ) ) ) ).
fof(t59_graph_5, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_graph_1(B) & l1_graph_1(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  ~ ( ( ~ (k4_graph_5(B, C, D)=k1_xboole_0)  &  (! [E] :  (m2_finseq_1(E, u4_struct_0(B)) =>  ~ ( (r2_tarski(E, k4_graph_5(B, C, D)) &  (! [F] :  (m2_finseq_1(F, u4_struct_0(B)) =>  (r2_tarski(F, k4_graph_5(B, C, D)) => r1_xxreal_0(k10_graph_5(B, E, A), k10_graph_5(B, F, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_graph_5, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v6_graph_1(C) & l1_graph_1(C)) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  ~ ( ( ~ (k5_graph_5(C, D, E, A)=k1_xboole_0)  &  (! [F] :  (m2_finseq_1(F, u4_struct_0(C)) =>  ~ ( (r2_tarski(F, k5_graph_5(C, D, E, A)) &  (! [G] :  (m2_finseq_1(G, u4_struct_0(C)) =>  (r2_tarski(G, k5_graph_5(C, D, E, A)) => r1_xxreal_0(k10_graph_5(C, F, B), k10_graph_5(C, G, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_graph_5, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_graph_1(B) & l1_graph_1(B)) )  =>  (! [C] :  ( (v7_graph_1(C, B) & m2_graph_1(C, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  ~ ( (r1_graph_5(B, C, D, E) &  (r5_graph_5(B, A) &  (! [F] :  ( (v7_graph_1(F, B) &  (v1_graph_4(F, B) & m2_graph_1(F, B)) )  =>  ~ (r7_graph_5(B, D, E, F, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_graph_5, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v6_graph_1(C) & l1_graph_1(C)) )  =>  (! [D] :  ( (v7_graph_1(D, C) & m2_graph_1(D, C))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  ~ ( (r2_graph_5(C, E, F, D, A) &  (r5_graph_5(C, B) &  (! [G] :  ( (v7_graph_1(G, C) &  (v1_graph_4(G, C) & m2_graph_1(G, C)) )  =>  ~ (r8_graph_5(C, E, F, G, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_graph_5, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v6_graph_1(C) & l1_graph_1(C)) )  =>  (! [D] :  ( (v7_graph_1(D, C) & m2_graph_1(D, C))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  ( (r5_graph_5(C, B) &  (r8_graph_5(C, E, F, D, A, B) &  (! [G] :  ( (v7_graph_1(G, C) & m2_graph_1(G, C))  =>  (! [H] :  (m1_subset_1(H, u1_struct_0(C)) =>  (r8_graph_5(C, E, H, G, A, B) =>  (r2_tarski(H, A) | r1_xxreal_0(k10_graph_5(C, D, B), k10_graph_5(C, G, B))) ) ) ) ) ) ) )  =>  (E=F | r7_graph_5(C, E, F, D, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_graph_5, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v6_graph_1(D) & l1_graph_1(D)) )  =>  (! [E] :  ( (v7_graph_1(E, D) & m2_graph_1(E, D))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(D)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(D)) =>  ( (r5_graph_5(D, C) &  (r8_graph_5(D, F, G, E, A, C) &  (r1_tarski(A, B) &  (! [H] :  ( (v7_graph_1(H, D) & m2_graph_1(H, D))  =>  (! [I] :  (m1_subset_1(I, u1_struct_0(D)) =>  (r8_graph_5(D, F, I, H, A, C) =>  (r2_tarski(I, A) | r1_xxreal_0(k10_graph_5(D, E, C), k10_graph_5(D, H, C))) ) ) ) ) ) ) ) )  =>  (F=G | r8_graph_5(D, F, G, E, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_finseq_1(B, u4_struct_0(A)) =>  (! [C] :  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (r9_graph_5(A, B, C, D, E) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r2_tarski(F, C) &  ( ~ (F=D)  &  (! [G] :  ( (v7_graph_1(G, A) & m2_graph_1(G, A))  =>  ~ ( (r8_graph_5(A, D, F, G, C, E) & r1_xxreal_0(k10_graph_5(A, G, E), k10_graph_5(A, B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_graph_5, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v2_graph_1(D) &  (v6_graph_1(D) & l1_graph_1(D)) ) )  =>  (! [E] :  ( (v7_graph_1(E, D) & m2_graph_1(E, D))  =>  (! [F] :  ( (v7_graph_1(F, D) & m2_graph_1(F, D))  =>  (! [G] :  ( (v7_graph_1(G, D) & m2_graph_1(G, D))  =>  (! [H] :  (m1_subset_1(H, u1_struct_0(D)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(D)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(D)) =>  ( (r2_tarski(A, u4_struct_0(D)) &  (r5_graph_5(D, C) &  (r1_xxreal_0(1, k3_finseq_1(E)) &  (r8_graph_5(D, H, I, E, B, C) &  (G=k7_finseq_1(E, k9_finseq_1(A)) &  (r8_graph_5(D, H, J, F, B, C) &  (r1_graph_4(D, I, J, A) & r9_graph_5(D, E, B, H, C)) ) ) ) ) ) )  =>  (H=I |  (H=J |  ( (r1_xxreal_0(k10_graph_5(D, F, C), k10_graph_5(D, G, C)) => r8_graph_5(D, H, J, F, k2_xboole_0(B, k1_tarski(I)), C))  &  (r1_xxreal_0(k10_graph_5(D, G, C), k10_graph_5(D, F, C)) => r8_graph_5(D, H, J, G, k2_xboole_0(B, k1_tarski(I)), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_m1_graph_5, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k3_finseq_2(A))))  =>  (! [C] :  (m1_graph_5(C, A, B) => m2_finseq_1(C, A)) ) ) ) ).
fof(existence_m1_graph_5, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k3_finseq_2(A))))  =>  (? [C] : m1_graph_5(C, A, B)) ) ) ).
fof(redefinition_m1_graph_5, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k3_finseq_2(A))))  =>  (! [C] :  (m1_graph_5(C, A, B) <=> m1_subset_1(C, B)) ) ) ) ).
fof(dt_k2_graph_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  & m1_finseq_1(B, u4_struct_0(A)))  => m1_subset_1(k2_graph_5(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k3_graph_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k3_graph_5(A, B, C), k1_zfmisc_1(k3_finseq_2(u4_struct_0(A))))) ) ).
fof(dt_k4_graph_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k4_graph_5(A, B, C), k1_zfmisc_1(k3_finseq_2(u4_struct_0(A))))) ) ).
fof(dt_k5_graph_5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k5_graph_5(A, B, C, D), k1_zfmisc_1(k3_finseq_2(u4_struct_0(A))))) ) ).
fof(dt_k6_graph_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  &  (v7_graph_1(B, A) & m1_graph_1(B, A)) )  => m1_subset_1(k6_graph_5(A, B), k1_zfmisc_1(k3_finseq_2(u4_struct_0(A))))) ) ).
fof(dt_k7_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  => m1_subset_1(k7_graph_5(A), k1_zfmisc_1(k3_finseq_2(u4_struct_0(A))))) ) ).
fof(dt_k8_graph_5, axiom, m1_subset_1(k8_graph_5, k1_zfmisc_1(k1_numbers))).
fof(redefinition_k8_graph_5, axiom, k8_graph_5=k2_arytm_2).
fof(dt_k9_graph_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  &  (m1_finseq_1(B, u4_struct_0(A)) &  (v1_relat_1(C) & v1_funct_1(C)) ) )  => m2_finseq_1(k9_graph_5(A, B, C), k1_numbers)) ) ).
fof(dt_k10_graph_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  &  (m1_finseq_1(B, u4_struct_0(A)) &  (v1_relat_1(C) & v1_funct_1(C)) ) )  => v1_xreal_0(k10_graph_5(A, B, C))) ) ).
fof(t2_graph_5, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (C=a_2_0_graph_5(A, B) => v1_finset_1(C)) ) ) ) ) ) ).
fof(t3_graph_5, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (C=a_2_1_graph_5(A, B) => v1_finset_1(C)) ) ) ) ) ) ).
fof(d2_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_finseq_1(B, u4_struct_0(A)) => k2_graph_5(A, B)=a_2_2_graph_5(A, B)) ) ) ) ).
fof(d5_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_graph_5(A, B, C)=a_3_0_graph_5(A, B, C)) ) ) ) ) ) ).
fof(d8_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_graph_5(A, B, C)=a_3_1_graph_5(A, B, C)) ) ) ) ) ) ).
fof(d9_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] : k5_graph_5(A, B, C, D)=a_4_0_graph_5(A, B, C, D)) ) ) ) ) ) ) ).
fof(d10_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( (v7_graph_1(B, A) & m2_graph_1(B, A))  => k6_graph_5(A, B)=a_2_3_graph_5(A, B)) ) ) ) ).
fof(d11_graph_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  => k7_graph_5(A)=a_1_0_graph_5(A)) ) ).
fof(d12_graph_5, axiom, k8_graph_5=a_0_0_graph_5).
fof(fraenkel_a_2_0_graph_5, axiom,  (! [A, B, C] :  ( (v1_finset_1(B) & m1_subset_1(C, k4_ordinal1))  =>  (r2_hidden(A, a_2_0_graph_5(B, C)) <=>  (? [D] :  (m2_finseq_2(D, B, k3_finseq_2(B)) &  (A=D &  (r1_xxreal_0(1, k3_finseq_1(D)) & r1_xxreal_0(k3_finseq_1(D), C)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_graph_5, axiom,  (! [A, B, C] :  ( (v1_finset_1(B) & m1_subset_1(C, k4_ordinal1))  =>  (r2_hidden(A, a_2_1_graph_5(B, C)) <=>  (? [D] :  (m2_finseq_2(D, B, k3_finseq_2(B)) &  (A=D & r1_xxreal_0(k3_finseq_1(D), C)) ) ) ) ) ) ).
fof(fraenkel_a_2_2_graph_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  & m2_finseq_1(C, u4_struct_0(B)))  =>  (r2_hidden(A, a_2_2_graph_5(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D &  (? [E] :  (v7_ordinal1(E) &  (r2_tarski(E, k4_finseq_1(C)) & r2_tarski(D, k1_graph_5(B, k7_partfun1(u4_struct_0(B), C, E)))) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_graph_5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  &  (m1_subset_1(C, u1_struct_0(B)) & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_0_graph_5(B, C, D)) <=>  (? [E] :  ( (v7_graph_1(E, B) & m2_graph_1(E, B))  &  (A=E & r1_graph_5(B, E, C, D)) ) ) ) ) ) ).
fof(fraenkel_a_3_1_graph_5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  &  (m1_subset_1(C, u1_struct_0(B)) & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_1_graph_5(B, C, D)) <=>  (? [E] :  ( (v7_graph_1(E, B) &  (v1_graph_4(E, B) & m2_graph_1(E, B)) )  &  (A=E & r3_graph_5(B, E, C, D)) ) ) ) ) ) ).
fof(fraenkel_a_4_0_graph_5, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  &  (m1_subset_1(C, u1_struct_0(B)) & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_4_0_graph_5(B, C, D, E)) <=>  (? [F] :  ( (v7_graph_1(F, B) &  (v1_graph_4(F, B) & m2_graph_1(F, B)) )  &  (A=F & r4_graph_5(B, F, C, D, E)) ) ) ) ) ) ).
fof(fraenkel_a_2_3_graph_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  &  (v7_graph_1(C, B) & m2_graph_1(C, B)) )  =>  (r2_hidden(A, a_2_3_graph_5(B, C)) <=>  (? [D] :  ( (v7_graph_1(D, B) &  (v1_graph_4(D, B) & m2_graph_1(D, B)) )  &  (A=D &  ( ~ (D=k1_xboole_0)  &  (k1_funct_1(u1_graph_1(B), k1_funct_1(D, 1))=k1_funct_1(u1_graph_1(B), k1_funct_1(C, 1)) &  (k1_funct_1(u2_graph_1(B), k1_funct_1(D, k3_finseq_1(D)))=k1_funct_1(u2_graph_1(B), k1_funct_1(C, k3_finseq_1(C))) & r1_tarski(k10_xtuple_0(D), k10_xtuple_0(C))) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_graph_5, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  & l1_graph_1(B))  =>  (r2_hidden(A, a_1_0_graph_5(B)) <=>  (? [C] :  ( (v7_graph_1(C, B) &  (v1_graph_4(C, B) & m2_graph_1(C, B)) )  & A=C) ) ) ) ) ).
fof(fraenkel_a_0_0_graph_5, axiom,  (! [A] :  (r2_hidden(A, a_0_0_graph_5) <=>  (? [B] :  (v1_xreal_0(B) &  (A=B & r1_xxreal_0(k5_numbers, B)) ) ) ) ) ).
fof(fc1_graphsp, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_graph_1(A) & l1_graph_1(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) &  (v1_funct_1(D) &  (v1_funct_2(D, u4_struct_0(A), k8_graph_5) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), k8_graph_5)))) ) ) ) )  => v1_xreal_0(k11_graphsp(A, B, C, D))) ) ).
fof(fc2_graphsp, axiom,  (! [A, B] :  ( (m1_subset_1(A, k3_finseq_2(k1_numbers)) & v7_ordinal1(B))  => v1_finset_1(k12_graphsp(A, B))) ) ).
fof(fc3_graphsp, axiom,  (! [A, B] :  ( (m1_subset_1(A, k3_finseq_2(k1_numbers)) & v7_ordinal1(B))  => v1_finset_1(k7_graphsp(A, B))) ) ).
fof(t1_graphsp, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( ( ~ (r2_tarski(B, k10_xtuple_0(A)))  & v2_funct_1(A))  <=> v2_funct_1(k7_finseq_1(A, k9_finseq_1(B)))) ) ) ) ).
fof(t2_graphsp, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v1_int_1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, k3_finseq_1(B)))  => r2_tarski(k1_funct_1(B, C), A)) ) ) ) ) ) ).
fof(t3_graphsp, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v1_int_1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, k3_finseq_1(B)))  => k7_partfun1(A, B, C)=k1_funct_1(B, C)) ) ) ) ) ) ).
fof(t4_graphsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_finseq_1(B, u4_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r6_graph_5(A, C) & k3_finseq_1(B)=1)  => k10_graph_5(A, B, C)=k1_funct_1(C, k1_funct_1(B, 1))) ) ) ) ) ) ) ).
fof(t5_graphsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (r2_tarski(B, u4_struct_0(A)) =>  (v7_graph_1(k9_finseq_1(B), A) &  (v1_graph_4(k9_finseq_1(B), A) & m2_graph_1(k9_finseq_1(B), A)) ) ) ) ) ) ).
fof(t6_graphsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_finseq_1(B, u4_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u4_struct_0(A)) =>  (! [D] :  ( (v7_graph_1(D, A) &  (v1_graph_4(D, A) & m2_graph_1(D, A)) )  =>  ( (D=k8_finseq_1(u4_struct_0(A), B, C) &  (r1_xxreal_0(1, k3_finseq_1(B)) & r1_xxreal_0(1, k3_finseq_1(C))) )  =>  ( ~ (k1_funct_1(u2_graph_1(A), k1_funct_1(D, k3_finseq_1(D)))=k1_funct_1(u2_graph_1(A), k1_funct_1(B, k3_finseq_1(B))))  &  ~ (k1_funct_1(u1_graph_1(A), k1_funct_1(D, 1))=k1_funct_1(u1_graph_1(A), k1_funct_1(C, 1))) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_graphsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( (v7_graph_1(B, A) & m2_graph_1(B, A))  =>  (! [C] :  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_graph_5(A, D, E, B, C) <=> r2_graph_5(A, D, E, B, k2_xboole_0(C, k1_tarski(E)))) ) ) ) ) ) ) ) ) ) ).
fof(t8_graphsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( (v7_graph_1(B, A) & m2_graph_1(B, A))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r8_graph_5(A, E, F, B, D, C) <=> r8_graph_5(A, E, F, B, k2_xboole_0(D, k1_tarski(F)), C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_graphsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( (v7_graph_1(B, A) & m2_graph_1(B, A))  =>  (! [C] :  ( (v7_graph_1(C, A) & m2_graph_1(C, A))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r8_graph_5(A, F, G, B, E, D) & r8_graph_5(A, F, G, C, E, D))  => k10_graph_5(A, B, D)=k10_graph_5(A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_graphsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_graph_1(A) & l1_graph_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (! [E] :  ( (r2_tarski(D, u4_struct_0(A)) &  (r2_tarski(E, u4_struct_0(A)) &  (r1_graph_4(A, B, C, D) & r1_graph_4(A, B, C, E)) ) )  => D=E) ) ) ) ) ) ) ) ) ).
fof(t11_graphsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (u1_struct_0(A)=k2_xboole_0(B, C) &  (r2_tarski(D, B) &  (r2_tarski(E, C) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_tarski(F, B) & r2_tarski(G, C))  =>  (! [H] :  ~ ( (r2_tarski(H, u4_struct_0(A)) & r1_graph_4(A, F, G, H)) ) ) ) ) ) ) ) ) ) )  =>  (! [F] :  ( (v7_graph_1(F, A) & m2_graph_1(F, A))  =>  ~ (r1_graph_5(A, F, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_graphsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( (v7_graph_1(B, A) & m2_graph_1(B, A))  =>  (! [C] :  (! [D] :  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (u1_struct_0(A)=k2_xboole_0(C, D) &  (r2_tarski(E, C) &  ( (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ( (r2_tarski(G, C) & r2_tarski(H, D))  =>  (! [I] :  ~ ( (r2_tarski(I, u4_struct_0(A)) & r1_graph_4(A, G, H, I)) ) ) ) ) ) ) )  & r1_graph_5(A, B, E, F)) ) )  => r2_graph_5(A, E, F, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_graphsp, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v6_graph_1(C) & l1_graph_1(C)) )  =>  (! [D] :  ( (v7_graph_1(D, C) & m2_graph_1(D, C))  =>  (! [E] :  ( (v7_graph_1(E, C) & m2_graph_1(E, C))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(C)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(C)) =>  ( (r5_graph_5(C, A) &  (r8_graph_5(C, F, G, D, B, A) &  (r8_graph_5(C, F, H, E, B, A) &  ( (! [I] :  ~ ( (r2_tarski(I, u4_struct_0(C)) & r1_graph_4(C, G, H, I)) ) )  & r9_graph_5(C, D, B, F, A)) ) ) )  =>  (F=G |  (F=H | r8_graph_5(C, F, H, E, k2_xboole_0(B, k1_tarski(G)), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_graphsp, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_graph_1(B) &  (v6_graph_1(B) & l1_graph_1(B)) ) )  =>  (! [C] :  ( (v7_graph_1(C, B) & m2_graph_1(C, B))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u4_struct_0(B), k8_graph_5) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(B), k8_graph_5)))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( (r2_tarski(A, u4_struct_0(B)) &  (C=k9_finseq_1(A) & r1_graph_4(B, E, F, A)) )  => r8_graph_5(B, E, F, C, k1_tarski(E), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_graphsp, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_graph_1(C) &  (v6_graph_1(C) & l1_graph_1(C)) ) )  =>  (! [D] :  ( (v7_graph_1(D, C) & m2_graph_1(D, C))  =>  (! [E] :  ( (v7_graph_1(E, C) & m2_graph_1(E, C))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u4_struct_0(C), k8_graph_5) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(C), k8_graph_5)))) )  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(C)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(C)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(C)) =>  ( (r2_tarski(B, u4_struct_0(C)) &  (r8_graph_5(C, G, H, D, A, F) &  (E=k7_finseq_1(D, k9_finseq_1(B)) &  (r1_graph_4(C, H, I, B) &  (r2_tarski(G, A) &  (! [J] :  (m1_subset_1(J, u1_struct_0(C)) =>  (r2_tarski(J, A) =>  (! [K] :  ~ ( (r2_tarski(K, u4_struct_0(C)) & r1_graph_4(C, J, I, K)) ) ) ) ) ) ) ) ) ) )  =>  (G=I | r8_graph_5(C, G, I, E, k2_xboole_0(A, k1_tarski(H)), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_graphsp, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_graph_1(C) &  (v6_graph_1(C) & l1_graph_1(C)) ) )  =>  (! [D] :  ( (v7_graph_1(D, C) & m2_graph_1(D, C))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u4_struct_0(C), k8_graph_5) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(C), k8_graph_5)))) )  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(C)) =>  ( (u1_struct_0(C)=k2_xboole_0(A, B) &  (r2_tarski(F, A) &  (! [H] :  (m1_subset_1(H, u1_struct_0(C)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(C)) =>  ( (r2_tarski(H, A) & r2_tarski(I, B))  =>  (! [J] :  ~ ( (r2_tarski(J, u4_struct_0(C)) & r1_graph_4(C, H, I, J)) ) ) ) ) ) ) ) ) )  =>  (r8_graph_5(C, F, G, D, A, E) <=> r7_graph_5(C, F, G, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_graphsp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  (! [D] :  (v1_xreal_0(D) => k2_graphsp(A, B, C, D)=k1_graphsp(k1_graphsp(C, A, B), B, D)) ) ) ) ) ) ) ) ).
fof(t17_graphsp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k3_finseq_2(k1_numbers)) =>  (! [D] :  (v1_xreal_0(D) =>  (r2_tarski(A, k4_finseq_1(C)) =>  (A=B | k1_funct_1(k2_graphsp(A, B, C, D), A)=B) ) ) ) ) ) ) ) ) ) ).
fof(t18_graphsp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k3_finseq_2(k1_numbers)) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (C=A)  &  ( ~ (C=B)  &  ~ (k1_funct_1(k2_graphsp(A, B, D, E), C)=k1_funct_1(D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_graphsp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k3_finseq_2(k1_numbers)) =>  (! [D] :  (v1_xreal_0(D) =>  (r2_tarski(B, k4_finseq_1(C)) => k1_funct_1(k2_graphsp(A, B, C, D), B)=D) ) ) ) ) ) ) ) ) ).
fof(t20_graphsp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k3_finseq_2(k1_numbers)) =>  (! [D] :  (v1_xreal_0(D) => k4_finseq_1(k2_graphsp(A, B, C, D))=k4_finseq_1(C)) ) ) ) ) ) ) ) ).
fof(d2_graphsp, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_funct_2(A, A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_funct_2(A, A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_funct_2(A, A))))) )  =>  (C=k5_graphsp(A, B) <=>  (k8_nat_1(k1_funct_2(A, A), C, k5_numbers)=k11_cqc_sim1(A) &  (! [D] :  (v7_ordinal1(D) => k8_nat_1(k1_funct_2(A, A), C, k1_nat_1(D, 1))=k3_graphsp(A, k8_nat_1(k1_funct_2(A, A), C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t21_graphsp, axiom,  (! [A] :  (m2_funct_2(A, k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers), k9_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers))) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k3_finseq_2(k1_numbers)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => k4_graphsp(k3_finseq_2(k1_numbers), k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers)), k5_graphsp(k3_finseq_2(k1_numbers), A), k5_numbers), B)=B) ) ) ) ) ) ) ) ).
fof(t22_graphsp, axiom,  (! [A] :  (m2_funct_2(A, k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers), k9_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers))) =>  (! [B] :  (m2_funct_2(B, k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers), k9_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers))) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k3_finseq_2(k1_numbers)) =>  (! [D] :  (v7_ordinal1(D) => k4_graphsp(k3_finseq_2(k1_numbers), k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers)), k5_graphsp(k3_finseq_2(k1_numbers), k3_graphsp(k3_finseq_2(k1_numbers), B, A)), k1_nat_1(D, 1)), C)=k4_graphsp(k3_finseq_2(k1_numbers), A, k4_graphsp(k3_finseq_2(k1_numbers), B, k4_graphsp(k3_finseq_2(k1_numbers), k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers)), k5_graphsp(k3_finseq_2(k1_numbers), k3_graphsp(k3_finseq_2(k1_numbers), B, A)), D), C)))) ) ) ) ) ) ) ) ).
fof(d4_graphsp, axiom,  (! [A] :  (m2_funct_2(A, k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers), k9_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers))) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k3_finseq_2(k1_numbers)) =>  (! [C] :  (v7_ordinal1(C) =>  ( (? [D] :  (v7_ordinal1(D) & k7_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers)), k5_graphsp(k3_finseq_2(k1_numbers), A), D), B), C)=k1_xboole_0) )  =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (D=k8_graphsp(A, B, C) <=>  (k7_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers)), k5_graphsp(k3_finseq_2(k1_numbers), A), D), B), C)=k1_xboole_0 &  (! [E] :  (v7_ordinal1(E) =>  (k7_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers)), k5_graphsp(k3_finseq_2(k1_numbers), A), E), B), C)=k1_xboole_0 => r1_xxreal_0(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_graphsp, axiom,  (! [A] :  (m2_funct_2(A, k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers), k9_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers))) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_funct_2(C, k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers), k9_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers))) =>  (C=k9_graphsp(A, B) <=>  (k9_xtuple_0(C)=k3_finseq_2(k1_numbers) &  (! [D] :  (m2_finseq_2(D, k1_numbers, k3_finseq_2(k1_numbers)) => k6_graphsp(C, D)=k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers)), k5_graphsp(k3_finseq_2(k1_numbers), A), k8_graphsp(A, D, B)), D)) ) ) ) ) ) ) ) ) ) ).
fof(d6_graphsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_graph_1(A) & l1_graph_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (? [D] :  (r2_tarski(D, u4_struct_0(A)) & r1_graph_4(A, B, C, D)) )  =>  (! [D] :  (D=k10_graphsp(A, B, C) <=>  (? [E] :  (D=E &  (r2_tarski(E, u4_struct_0(A)) & r1_graph_4(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_graphsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_graph_1(A) & l1_graph_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( ( (? [E] :  (r2_tarski(E, u4_struct_0(A)) & r1_graph_4(A, B, C, E)) )  => k11_graphsp(A, B, C, D)=k1_funct_1(D, k10_graphsp(A, B, C)))  &  ( (! [E] :  ~ ( (r2_tarski(E, u4_struct_0(A)) & r1_graph_4(A, B, C, E)) ) )  => k11_graphsp(A, B, C, D)=k4_xcmplx_0(1)) ) ) ) ) ) ) ) ) ) ).
fof(t23_graphsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_graph_1(A) & l1_graph_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u4_struct_0(A), k8_graph_5) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), k8_graph_5)))) )  =>  (r1_xxreal_0(k5_numbers, k11_graphsp(A, B, C, D)) <=>  (? [E] :  (r2_tarski(E, u4_struct_0(A)) & r1_graph_4(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_graphsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_graph_1(A) & l1_graph_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u4_struct_0(A), k8_graph_5) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), k8_graph_5)))) )  =>  (k11_graphsp(A, B, C, D)=k4_xcmplx_0(1) <=>  (! [E] :  ~ ( (r2_tarski(E, u4_struct_0(A)) & r1_graph_4(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_graphsp, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_graph_1(B) & l1_graph_1(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u4_struct_0(B), k8_graph_5) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(B), k8_graph_5)))) )  =>  ( (r2_tarski(A, u4_struct_0(B)) & r1_graph_4(B, C, D, A))  => k11_graphsp(B, C, D, E)=k1_funct_1(E, A)) ) ) ) ) ) ) ) ) ) ).
fof(t26_graphsp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k3_finseq_2(k1_numbers)) => r1_tarski(k12_graphsp(B, A), k2_finseq_1(A))) ) ) ) ).
fof(t27_graphsp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k3_finseq_2(k1_numbers)) => r1_tarski(k7_graphsp(B, A), k12_graphsp(B, A))) ) ) ) ).
fof(t28_graphsp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k3_finseq_2(k1_numbers)) => r1_tarski(k7_graphsp(B, A), k2_finseq_1(A))) ) ) ) ).
fof(d10_graphsp, axiom,  (! [A] :  ( (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k4_ordinal1)))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k3_finseq_2(k1_numbers)) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (D=k14_graphsp(A, B, C) <=>  ( ~ ( ( ~ (A=k1_xboole_0)  &  (! [E] :  (v7_ordinal1(E) =>  ~ ( (E=D &  (r2_tarski(E, A) &  ( (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, A) => r1_xxreal_0(k7_partfun1(k1_numbers, B, k2_xcmplx_0(k3_xcmplx_0(2, C), E)), k7_partfun1(k1_numbers, B, k2_xcmplx_0(k3_xcmplx_0(2, C), F)))) ) )  &  (! [F] :  (v7_ordinal1(F) =>  ( (r2_tarski(F, A) & k7_partfun1(k1_numbers, B, k2_xcmplx_0(k3_xcmplx_0(2, C), E))=k7_partfun1(k1_numbers, B, k2_xcmplx_0(k3_xcmplx_0(2, C), F)))  => r1_xxreal_0(E, F)) ) ) ) ) ) ) ) ) ) )  &  (A=k1_xboole_0 => D=k5_numbers) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_graphsp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k3_finseq_2(k1_numbers)) =>  (A=k14_graphsp(k7_graphsp(C, B), C, B) =>  (k7_graphsp(C, B)=k1_xboole_0 |  (r2_tarski(A, k4_finseq_1(C)) &  (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, B) &  ( ~ (k1_funct_1(C, A)=k4_xcmplx_0(1))  &  ~ (k1_funct_1(C, k2_xcmplx_0(B, A))=k4_xcmplx_0(1)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_graphsp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k3_finseq_2(k1_numbers)) => r1_xxreal_0(k14_graphsp(k7_graphsp(B, A), B, A), A)) ) ) ) ).
fof(d11_graphsp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_funct_2(B, k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers), k9_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers))) =>  (B=k15_graphsp(A) <=>  (k9_xtuple_0(B)=k3_finseq_2(k1_numbers) &  (! [C] :  (m2_finseq_2(C, k1_numbers, k3_finseq_2(k1_numbers)) => k6_graphsp(B, C)=k2_graphsp(k1_nat_1(k2_xcmplx_0(k3_xcmplx_0(A, A), k3_xcmplx_0(3, A)), 1), k14_graphsp(k7_graphsp(C, A), C, A), C, k4_xcmplx_0(1))) ) ) ) ) ) ) ) ).
fof(t31_graphsp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k3_finseq_2(k1_numbers)) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (A=k1_nat_1(k2_xcmplx_0(k3_xcmplx_0(B, B), k3_xcmplx_0(3, B)), 1))  &  ~ (k1_funct_1(k6_graphsp(k15_graphsp(B), C), A)=k1_funct_1(C, A)) ) ) ) ) ) ) ) ) ) ).
fof(t32_graphsp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k3_finseq_2(k1_numbers)) =>  ( (r2_tarski(A, k4_finseq_1(C)) & k1_funct_1(C, A)=k4_xcmplx_0(1))  =>  (A=k1_nat_1(k2_xcmplx_0(k3_xcmplx_0(B, B), k3_xcmplx_0(3, B)), 1) | k1_funct_1(k6_graphsp(k15_graphsp(B), C), A)=k4_xcmplx_0(1)) ) ) ) ) ) ) ) ).
fof(t33_graphsp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k3_finseq_2(k1_numbers)) => k4_finseq_1(k6_graphsp(k15_graphsp(A), B))=k4_finseq_1(B)) ) ) ) ).
fof(t34_graphsp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k3_finseq_2(k1_numbers)) =>  ~ ( ( ~ (k7_graphsp(B, A)=k1_xboole_0)  &  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(C, k7_graphsp(B, A)) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, A) & k1_funct_1(k6_graphsp(k15_graphsp(A), B), C)=k4_xcmplx_0(1)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_graphsp, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k3_finseq_2(k1_numbers)) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k16_graphsp(A, B, C)=k3_real_1(k7_partfun1(k1_numbers, A, k2_xcmplx_0(k3_xcmplx_0(2, B), k7_partfun1(k1_numbers, A, k1_nat_1(k2_xcmplx_0(k3_xcmplx_0(B, B), k3_xcmplx_0(3, B)), 1)))), k7_partfun1(k1_numbers, A, k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2, B), k3_xcmplx_0(B, k7_partfun1(k1_numbers, A, k1_nat_1(k2_xcmplx_0(k3_xcmplx_0(B, B), k3_xcmplx_0(3, B)), 1)))), C)))) ) ) ) ) ) ).
fof(d13_graphsp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k3_finseq_2(k1_numbers)) =>  (r1_graphsp(A, B, C) <=>  ( ~ ( ( ~ (k1_funct_1(C, k2_xcmplx_0(A, B))=k4_xcmplx_0(1))  & r1_xxreal_0(k7_partfun1(k1_numbers, C, k2_xcmplx_0(k3_xcmplx_0(2, A), B)), k16_graphsp(C, A, B))) )  &  (r1_xxreal_0(k5_numbers, k7_partfun1(k1_numbers, C, k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2, A), k3_xcmplx_0(A, k7_partfun1(k1_numbers, C, k1_nat_1(k2_xcmplx_0(k3_xcmplx_0(A, A), k3_xcmplx_0(3, A)), 1)))), B))) &  ~ (k1_funct_1(C, B)=k4_xcmplx_0(1)) ) ) ) ) ) ) ) ) ) ).
fof(d14_graphsp, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k3_finseq_2(k1_numbers)) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k3_finseq_2(k1_numbers)) =>  (C=k17_graphsp(A, B) <=>  (k4_finseq_1(C)=k4_finseq_1(A) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(A)) =>  ( (r1_xxreal_0(D, k3_xcmplx_0(2, B)) =>  (r1_xxreal_0(D, B) |  ( (r1_graphsp(B, k7_nat_d(D, B), A) => k1_funct_1(C, D)=k7_partfun1(k1_numbers, A, k1_nat_1(k2_xcmplx_0(k3_xcmplx_0(B, B), k3_xcmplx_0(3, B)), 1)))  &  ( ~ (r1_graphsp(B, k7_nat_d(D, B), A))  => k1_funct_1(C, D)=k1_funct_1(A, D)) ) ) )  &  ( (r1_xxreal_0(D, k3_xcmplx_0(3, B)) =>  (r1_xxreal_0(D, k3_xcmplx_0(2, B)) |  ( (r1_graphsp(B, k7_nat_d(D, k3_xcmplx_0(2, B)), A) => k1_funct_1(C, D)=k16_graphsp(A, B, k7_nat_d(D, k3_xcmplx_0(2, B))))  &  ( ~ (r1_graphsp(B, k7_nat_d(D, k3_xcmplx_0(2, B)), A))  => k1_funct_1(C, D)=k1_funct_1(A, D)) ) ) )  &  ( ~ ( ( ~ (r1_xxreal_0(D, B))  & r1_xxreal_0(D, k3_xcmplx_0(3, B))) )  => k1_funct_1(C, D)=k1_funct_1(A, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_graphsp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_funct_2(B, k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers), k9_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers))) =>  (B=k18_graphsp(A) <=>  (k9_xtuple_0(B)=k3_finseq_2(k1_numbers) &  (! [C] :  (m2_finseq_2(C, k1_numbers, k3_finseq_2(k1_numbers)) => k6_graphsp(B, C)=k17_graphsp(C, A)) ) ) ) ) ) ) ) ).
fof(t35_graphsp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k3_finseq_2(k1_numbers)) => k4_finseq_1(k6_graphsp(k18_graphsp(A), B))=k4_finseq_1(B)) ) ) ) ).
fof(t36_graphsp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k3_finseq_2(k1_numbers)) =>  (r2_tarski(A, k4_finseq_1(C)) =>  ( ( ~ (r1_xxreal_0(A, B))  & r1_xxreal_0(A, k3_xcmplx_0(3, B)))  | k1_funct_1(k6_graphsp(k18_graphsp(B), C), A)=k1_funct_1(C, A)) ) ) ) ) ) ) ) ).
fof(t37_graphsp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k3_finseq_2(k1_numbers)) => k4_finseq_1(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers)), k5_graphsp(k3_finseq_2(k1_numbers), k3_graphsp(k3_finseq_2(k1_numbers), k15_graphsp(B), k18_graphsp(B))), A), C))=k4_finseq_1(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers)), k5_graphsp(k3_finseq_2(k1_numbers), k3_graphsp(k3_finseq_2(k1_numbers), k15_graphsp(B), k18_graphsp(B))), k1_nat_1(A, 1)), C))) ) ) ) ) ) ).
fof(t38_graphsp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k3_finseq_2(k1_numbers)) =>  ( ~ (k7_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers)), k5_graphsp(k3_finseq_2(k1_numbers), k3_graphsp(k3_finseq_2(k1_numbers), k15_graphsp(B), k18_graphsp(B))), A), C), B)=k1_xboole_0)  => r2_xboole_0(k12_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers)), k5_graphsp(k3_finseq_2(k1_numbers), k3_graphsp(k3_finseq_2(k1_numbers), k15_graphsp(B), k18_graphsp(B))), k1_nat_1(A, 1)), C), B), k12_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers)), k5_graphsp(k3_finseq_2(k1_numbers), k3_graphsp(k3_finseq_2(k1_numbers), k15_graphsp(B), k18_graphsp(B))), A), C), B))) ) ) ) ) ) ) ).
fof(t39_graphsp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k3_finseq_2(k1_numbers)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k3_finseq_2(k1_numbers)) =>  (! [F] :  (m2_finseq_2(F, k1_numbers, k3_finseq_2(k1_numbers)) =>  ( (E=k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers)), k5_graphsp(k3_finseq_2(k1_numbers), k3_graphsp(k3_finseq_2(k1_numbers), k15_graphsp(C), k18_graphsp(C))), A), D) &  (F=k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers)), k5_graphsp(k3_finseq_2(k1_numbers), k3_graphsp(k3_finseq_2(k1_numbers), k15_graphsp(C), k18_graphsp(C))), k1_nat_1(A, 1)), D) & B=k14_graphsp(k7_graphsp(E, C), E, C)) )  =>  (k7_graphsp(E, C)=k1_xboole_0 |  (k13_graphsp(F, C)=k2_xboole_0(k13_graphsp(E, C), k1_tarski(B)) &  ~ (r2_tarski(B, k13_graphsp(E, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_graphsp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k3_finseq_2(k1_numbers)) =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(C, A) & k7_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers)), k5_graphsp(k3_finseq_2(k1_numbers), k3_graphsp(k3_finseq_2(k1_numbers), k15_graphsp(A), k18_graphsp(A))), C), B), A)=k1_xboole_0) ) ) ) ) ) ) ).
fof(t41_graphsp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k3_finseq_2(k1_numbers)) => k4_finseq_1(C)=k4_finseq_1(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers)), k5_graphsp(k3_finseq_2(k1_numbers), k3_graphsp(k3_finseq_2(k1_numbers), k15_graphsp(B), k18_graphsp(B))), A), C))) ) ) ) ) ) ).
fof(d16_graphsp, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k3_finseq_2(k1_numbers)) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k3_finseq_2(k1_numbers)) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_graphsp(A, B, C, D) <=>  (k4_finseq_1(A)=k4_finseq_1(B) &  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(E, k4_finseq_1(A)) &  (r1_xxreal_0(C, E) & r1_xxreal_0(E, D)) )  => k1_funct_1(A, E)=k1_funct_1(B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_graphsp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k3_finseq_2(k1_numbers)) => r2_graphsp(C, C, A, B)) ) ) ) ) ) ).
fof(t43_graphsp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k3_finseq_2(k1_numbers)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k3_finseq_2(k1_numbers)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k3_finseq_2(k1_numbers)) =>  ( (r2_graphsp(C, D, A, B) & r2_graphsp(D, E, A, B))  => r2_graphsp(C, E, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_graphsp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k3_finseq_2(k1_numbers)) => r2_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers)), k5_graphsp(k3_finseq_2(k1_numbers), k3_graphsp(k3_finseq_2(k1_numbers), k15_graphsp(B), k18_graphsp(B))), A), C), k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers)), k5_graphsp(k3_finseq_2(k1_numbers), k3_graphsp(k3_finseq_2(k1_numbers), k15_graphsp(B), k18_graphsp(B))), k1_nat_1(A, 1)), C), k1_nat_1(k3_xcmplx_0(3, B), 1), k2_xcmplx_0(k3_xcmplx_0(B, B), k3_xcmplx_0(3, B)))) ) ) ) ) ) ).
fof(t45_graphsp, axiom,  (! [A] :  (m2_funct_2(A, k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers), k9_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers))) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k3_finseq_2(k1_numbers)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ~ ( ( ~ (r1_xxreal_0(k8_graphsp(A, B, C), D))  & k7_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers)), k5_graphsp(k3_finseq_2(k1_numbers), A), D), B), C)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ).
fof(t46_graphsp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k3_finseq_2(k1_numbers)) => r2_graphsp(C, k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers)), k5_graphsp(k3_finseq_2(k1_numbers), k3_graphsp(k3_finseq_2(k1_numbers), k15_graphsp(B), k18_graphsp(B))), A), C), k1_nat_1(k3_xcmplx_0(3, B), 1), k2_xcmplx_0(k3_xcmplx_0(B, B), k3_xcmplx_0(3, B)))) ) ) ) ) ) ).
fof(t47_graphsp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k3_finseq_2(k1_numbers)) =>  ( (r1_xxreal_0(1, A) &  (r2_tarski(1, k4_finseq_1(B)) &  ( (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, A))  => k1_funct_1(B, C)=1) ) )  &  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(2, C) & r1_xxreal_0(C, A))  => k1_funct_1(B, k2_xcmplx_0(A, C))=k4_xcmplx_0(1)) ) ) ) ) )  =>  (k1_funct_1(B, k1_nat_1(A, 1))=k4_xcmplx_0(1) |  (1=k14_graphsp(k7_graphsp(B, A), B, A) &  (k13_graphsp(B, A)=k1_xboole_0 & k6_domain_1(k4_ordinal1, 1)=k13_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers)), k5_graphsp(k3_finseq_2(k1_numbers), k3_graphsp(k3_finseq_2(k1_numbers), k15_graphsp(A), k18_graphsp(A))), 1), B), A)) ) ) ) ) ) ) ) ).
fof(t48_graphsp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k3_finseq_2(k1_numbers)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k3_finseq_2(k1_numbers)) =>  (! [F] :  (m2_finseq_2(F, k1_numbers, k3_finseq_2(k1_numbers)) =>  ( (E=k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers)), k5_graphsp(k3_finseq_2(k1_numbers), k3_graphsp(k3_finseq_2(k1_numbers), k15_graphsp(C), k18_graphsp(C))), 1), D) &  (F=k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers)), k5_graphsp(k3_finseq_2(k1_numbers), k3_graphsp(k3_finseq_2(k1_numbers), k15_graphsp(C), k18_graphsp(C))), A), D) &  (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, k8_graphsp(k3_graphsp(k3_finseq_2(k1_numbers), k15_graphsp(C), k18_graphsp(C)), D, C)) & r2_tarski(B, k13_graphsp(E, C))) ) ) )  => r2_tarski(B, k13_graphsp(F, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_graphsp, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k3_finseq_2(k1_numbers)) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r3_graphsp(A, B, C, D) <=>  (k1_funct_1(A, k3_finseq_1(A))=C &  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(1, E) =>  (r1_xxreal_0(k3_finseq_1(A), E) | k1_funct_1(A, k6_xcmplx_0(k3_finseq_1(A), E))=k1_funct_1(B, k1_nat_1(D, k7_partfun1(k4_ordinal1, A, k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(A), E), 1))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_graphsp, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k3_finseq_2(k1_numbers)) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r4_graphsp(A, B, C, D) <=>  (k1_funct_1(A, 1)=1 &  ( ~ (r1_xxreal_0(k3_finseq_1(A), 1))  &  (r3_graphsp(A, B, C, D) & v2_funct_1(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_graphsp, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k3_finseq_2(k1_numbers)) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( (r4_graphsp(A, C, D, E) & r4_graphsp(B, C, D, E))  => A=B) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_graphsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m2_finseq_1(B, u4_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r5_graphsp(A, B, C) <=>  (k3_finseq_1(C)=k1_nat_1(k3_finseq_1(B), 1) &  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, k3_finseq_1(B)))  =>  (k1_funct_1(u1_graph_1(A), k1_funct_1(B, D))=k1_funct_1(C, D) & k1_funct_1(u2_graph_1(A), k1_funct_1(B, D))=k1_funct_1(C, k1_nat_1(D, 1))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_graphsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_graph_1(A) & l1_graph_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v7_graph_1(C, A) & m2_graph_1(C, A))  =>  (! [D] :  ( (v7_graph_1(D, A) & m2_graph_1(D, A))  =>  ( (r5_graphsp(A, C, B) & r5_graphsp(A, D, B))  => C=D) ) ) ) ) ) ) ) ) ).
fof(t51_graphsp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v7_graph_1(D, A) & m2_graph_1(D, A))  =>  ( (r5_graphsp(A, D, B) &  (r5_graphsp(A, D, C) & r1_xxreal_0(1, k3_finseq_1(D))) )  => B=C) ) ) ) ) ) ) ) ) ).
fof(d20_graphsp, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k3_finseq_2(k1_numbers)) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_graph_1(B) & l1_graph_1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u4_struct_0(B), k8_graph_5) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(B), k8_graph_5)))) )  =>  (r6_graphsp(A, B, C, D) <=>  (k3_finseq_1(A)=k1_nat_1(k2_xcmplx_0(k3_xcmplx_0(C, C), k3_xcmplx_0(3, C)), 1) &  (k2_finseq_1(C)=u1_struct_0(B) &  ( (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, C))  =>  (k1_funct_1(A, E)=1 & k1_funct_1(A, k2_xcmplx_0(k3_xcmplx_0(2, C), E))=k5_numbers) ) ) )  &  (k1_funct_1(A, k1_nat_1(C, 1))=k5_numbers &  ( (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(2, E) & r1_xxreal_0(E, C))  => k1_funct_1(A, k2_xcmplx_0(C, E))=k4_xcmplx_0(1)) ) )  &  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (v7_ordinal1(H) =>  ( (G=E & H=F)  => k1_funct_1(A, k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2, C), k3_xcmplx_0(C, G)), H))=k11_graphsp(B, E, F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d21_graphsp, axiom,  (! [A] :  (v7_ordinal1(A) => k19_graphsp(A)=k9_graphsp(k3_graphsp(k3_finseq_2(k1_numbers), k15_graphsp(A), k18_graphsp(A)), A)) ) ).
fof(t52_graphsp, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k3_finseq_2(k1_numbers)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k3_finseq_2(k1_numbers)) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v2_graph_1(E) &  (v6_graph_1(E) & l1_graph_1(E)) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u4_struct_0(E), k8_graph_5) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(E), k8_graph_5)))) )  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(E)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(E)) =>  ( (r6_graphsp(C, E, B, F) &  (G=1 &  (H=A &  (r1_xxreal_0(1, B) & D=k6_graphsp(k19_graphsp(B), C)) ) ) )  =>  (1=H |  (u1_struct_0(E)=k4_subset_1(k4_ordinal1, k13_graphsp(D, B), k12_graphsp(D, B)) &  ( ~ ( (r2_tarski(H, k13_graphsp(D, B)) &  (! [I] :  (m2_finseq_1(I, k4_ordinal1) =>  (! [J] :  ( (v7_graph_1(J, E) & m2_graph_1(J, E))  =>  ~ ( (r4_graphsp(I, D, A, B) &  (r5_graphsp(E, J, I) &  (r7_graph_5(E, G, H, J, F) & k10_graph_5(E, J, F)=k1_funct_1(D, k2_xcmplx_0(k3_xcmplx_0(2, B), A))) ) ) ) ) ) ) ) ) )  &  (r2_tarski(H, k12_graphsp(D, B)) =>  (! [I] :  ( (v7_graph_1(I, E) & m2_graph_1(I, E))  =>  ~ (r1_graph_5(E, I, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_graphsp, axiom,  (! [A, B, C] :  ( (m1_finseq_1(A, k1_numbers) & v1_xreal_0(C))  => m2_finseq_1(k1_graphsp(A, B, C), k1_numbers)) ) ).
fof(redefinition_k1_graphsp, axiom,  (! [A, B, C] :  ( (m1_finseq_1(A, k1_numbers) & v1_xreal_0(C))  => k1_graphsp(A, B, C)=k1_funct_7(A, B, C)) ) ).
fof(dt_k2_graphsp, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (m1_finseq_1(C, k1_numbers) & v1_xreal_0(D)) ) )  => m2_finseq_1(k2_graphsp(A, B, C, D), k1_numbers)) ) ).
fof(dt_k3_graphsp, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_funct_2(A, A)) & m1_subset_1(C, k1_funct_2(A, A)))  => m1_subset_1(k3_graphsp(A, B, C), k1_funct_2(A, A))) ) ).
fof(redefinition_k3_graphsp, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_funct_2(A, A)) & m1_subset_1(C, k1_funct_2(A, A)))  => k3_graphsp(A, B, C)=k3_relat_1(B, C)) ) ).
fof(dt_k4_graphsp, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_funct_2(A, A)) & m1_subset_1(C, A))  => m1_subset_1(k4_graphsp(A, B, C), A)) ) ).
fof(redefinition_k4_graphsp, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_funct_2(A, A)) & m1_subset_1(C, A))  => k4_graphsp(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k5_graphsp, axiom,  (! [A, B] :  (m1_subset_1(B, k1_funct_2(A, A)) =>  (v1_funct_1(k5_graphsp(A, B)) &  (v1_funct_2(k5_graphsp(A, B), k4_ordinal1, k1_funct_2(A, A)) & m1_subset_1(k5_graphsp(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_funct_2(A, A))))) ) ) ) ).
fof(dt_k6_graphsp, axiom,  (! [A, B] :  ( (m1_subset_1(A, k9_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers))) & m1_subset_1(B, k3_finseq_2(k1_numbers)))  => m2_finseq_2(k6_graphsp(A, B), k1_numbers, k3_finseq_2(k1_numbers))) ) ).
fof(redefinition_k6_graphsp, axiom,  (! [A, B] :  ( (m1_subset_1(A, k9_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers))) & m1_subset_1(B, k3_finseq_2(k1_numbers)))  => k6_graphsp(A, B)=k1_funct_1(A, B)) ) ).
fof(dt_k7_graphsp, axiom,  (! [A, B] :  ( (m1_subset_1(A, k3_finseq_2(k1_numbers)) & v7_ordinal1(B))  => m1_subset_1(k7_graphsp(A, B), k1_zfmisc_1(k4_ordinal1))) ) ).
fof(dt_k8_graphsp, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k9_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers))) &  (m1_subset_1(B, k3_finseq_2(k1_numbers)) & v7_ordinal1(C)) )  => m1_subset_1(k8_graphsp(A, B, C), k4_ordinal1)) ) ).
fof(dt_k9_graphsp, axiom,  (! [A, B] :  ( (m1_subset_1(A, k9_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers))) & v7_ordinal1(B))  => m2_funct_2(k9_graphsp(A, B), k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers), k9_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers)))) ) ).
fof(dt_k12_graphsp, axiom,  (! [A, B] :  ( (m1_subset_1(A, k3_finseq_2(k1_numbers)) & v7_ordinal1(B))  => m1_subset_1(k12_graphsp(A, B), k1_zfmisc_1(k4_ordinal1))) ) ).
fof(dt_k13_graphsp, axiom,  (! [A, B] :  ( (m1_subset_1(A, k3_finseq_2(k1_numbers)) & v7_ordinal1(B))  => m1_subset_1(k13_graphsp(A, B), k1_zfmisc_1(k4_ordinal1))) ) ).
fof(dt_k14_graphsp, axiom,  (! [A, B, C] :  ( ( (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k4_ordinal1)))  &  (m1_subset_1(B, k3_finseq_2(k1_numbers)) & v7_ordinal1(C)) )  => v7_ordinal1(k14_graphsp(A, B, C))) ) ).
fof(dt_k15_graphsp, axiom,  (! [A] :  (v7_ordinal1(A) => m2_funct_2(k15_graphsp(A), k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers), k9_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers)))) ) ).
fof(dt_k16_graphsp, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k3_finseq_2(k1_numbers)) &  (v7_ordinal1(B) & v7_ordinal1(C)) )  => v1_xreal_0(k16_graphsp(A, B, C))) ) ).
fof(dt_k17_graphsp, axiom,  (! [A, B] :  ( (m1_subset_1(A, k3_finseq_2(k1_numbers)) & v7_ordinal1(B))  => m2_finseq_2(k17_graphsp(A, B), k1_numbers, k3_finseq_2(k1_numbers))) ) ).
fof(dt_k18_graphsp, axiom,  (! [A] :  (v7_ordinal1(A) => m2_funct_2(k18_graphsp(A), k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers), k9_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers)))) ) ).
fof(dt_k19_graphsp, axiom,  (! [A] :  (v7_ordinal1(A) => m2_funct_2(k19_graphsp(A), k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers), k9_funct_2(k3_finseq_2(k1_numbers), k3_finseq_2(k1_numbers)))) ) ).
fof(d3_graphsp, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k3_finseq_2(k1_numbers)) =>  (! [B] :  (v7_ordinal1(B) => k7_graphsp(A, B)=a_2_0_graphsp(A, B)) ) ) ) ).
fof(d8_graphsp, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k3_finseq_2(k1_numbers)) =>  (! [B] :  (v7_ordinal1(B) => k12_graphsp(A, B)=a_2_1_graphsp(A, B)) ) ) ) ).
fof(d9_graphsp, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k3_finseq_2(k1_numbers)) =>  (! [B] :  (v7_ordinal1(B) => k13_graphsp(A, B)=a_2_2_graphsp(A, B)) ) ) ) ).
fof(fraenkel_a_2_0_graphsp, axiom,  (! [A, B, C] :  ( (m2_finseq_2(B, k1_numbers, k3_finseq_2(k1_numbers)) & v7_ordinal1(C))  =>  (r2_hidden(A, a_2_0_graphsp(B, C)) <=>  (? [D] :  (v7_ordinal1(D) &  (A=D &  (r2_tarski(D, k4_finseq_1(B)) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, C) &  ( ~ (k1_funct_1(B, D)=k4_xcmplx_0(1))  &  ~ (k1_funct_1(B, k2_xcmplx_0(C, D))=k4_xcmplx_0(1)) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_graphsp, axiom,  (! [A, B, C] :  ( (m2_finseq_2(B, k1_numbers, k3_finseq_2(k1_numbers)) & v7_ordinal1(C))  =>  (r2_hidden(A, a_2_1_graphsp(B, C)) <=>  (? [D] :  (v7_ordinal1(D) &  (A=D &  (r2_tarski(D, k4_finseq_1(B)) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, C) &  ~ (k1_funct_1(B, D)=k4_xcmplx_0(1)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_2_graphsp, axiom,  (! [A, B, C] :  ( (m2_finseq_2(B, k1_numbers, k3_finseq_2(k1_numbers)) & v7_ordinal1(C))  =>  (r2_hidden(A, a_2_2_graphsp(B, C)) <=>  (? [D] :  (v7_ordinal1(D) &  (A=D &  (r2_tarski(D, k4_finseq_1(B)) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, C) & k1_funct_1(B, D)=k4_xcmplx_0(1)) ) ) ) ) ) ) ) ) ).
fof(fc1_grcat_1, axiom, v2_midsp_2(k3_algstr_0)).
fof(fc2_grcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  ~ (v1_xboole_0(k1_grcat_1(A, B))) ) ) ).
fof(fc3_grcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v1_cat_1(k5_grcat_1(A, B))) ) ).
fof(fc4_grcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  &  ( ~ (v2_struct_0(B))  &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) )  =>  (v1_funct_1(k6_grcat_1(A, B)) &  (v1_funct_2(k6_grcat_1(A, B), u1_struct_0(A), u1_struct_0(B)) & v13_vectsp_1(k6_grcat_1(A, B), A, B)) ) ) ) ).
fof(rc1_grcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  &  ( ~ (v2_struct_0(B))  &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v1_partfun1(C, u1_struct_0(A)) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v13_vectsp_1(C, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc5_grcat_1, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  &  ( ( ~ (v2_struct_0(B))  &  (v4_rlvect_1(B) & l2_algstr_0(B)) )  &  ( ( ~ (v2_struct_0(C))  &  (v4_rlvect_1(C) & l2_algstr_0(C)) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  &  (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) ) ) )  =>  (v1_funct_1(k3_relat_1(D, E)) &  (v1_funct_2(k3_relat_1(D, E), u1_struct_0(A), u1_struct_0(C)) & v13_vectsp_1(k3_relat_1(D, E), A, C)) ) ) ) ).
fof(rc2_grcat_1, axiom,  (? [A] :  (l1_grcat_1(A) & v1_grcat_1(A)) ) ).
fof(fc6_grcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  => v1_grcat_1(k10_grcat_1(A, B))) ) ).
fof(rc3_grcat_1, axiom,  (? [A] :  (l1_grcat_1(A) &  (v1_grcat_1(A) & v2_grcat_1(A)) ) ) ).
fof(fc7_grcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  => v2_grcat_1(k10_grcat_1(A, B))) ) ).
fof(rc4_grcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  =>  (? [C] :  (m1_grcat_1(C, A, B) &  (v1_grcat_1(C) & v2_grcat_1(C)) ) ) ) ) ).
fof(fc8_grcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  (v1_funct_1(k3_struct_0(A)) &  (v1_funct_2(k3_struct_0(A), u1_struct_0(A), u1_struct_0(A)) & v13_vectsp_1(k3_struct_0(A), A, A)) ) ) ) ).
fof(fc9_grcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  => v1_grcat_1(k11_grcat_1(A))) ) ).
fof(rc5_grcat_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v3_grcat_1(A)) ) ).
fof(rc6_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v3_grcat_1(A))  =>  (? [B] :  (m1_subset_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v5_algstr_0(B) &  (v6_algstr_0(B) &  (v7_algstr_0(B) &  (v8_algstr_0(B) &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_algstr_1(B) &  (v2_algstr_1(B) &  (v3_algstr_1(B) & v4_algstr_1(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc7_grcat_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v4_grcat_1(A)) ) ).
fof(rc8_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_grcat_1(A))  =>  (? [B] :  (m1_subset_1(B, A) &  (v1_grcat_1(B) & v2_grcat_1(B)) ) ) ) ) ).
fof(fc10_grcat_1, axiom,  (! [A, B] :  ( (l1_struct_0(A) &  ( ~ (v2_struct_0(B))  & l1_struct_0(B)) )  =>  ~ (v1_xboole_0(k15_grcat_1(A, B))) ) ) ).
fof(rc9_grcat_1, axiom,  (! [A, B] :  ( (l1_struct_0(A) &  ( ~ (v2_struct_0(B))  & l1_struct_0(B)) )  =>  (? [C] :  (m5_grcat_1(C, A, B) &  ~ (v1_xboole_0(C)) ) ) ) ) ).
fof(rc10_grcat_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  & m4_grcat_1(C, A, B)) )  =>  (? [D] :  (m1_subset_1(D, C) &  (v1_grcat_1(D) & v2_grcat_1(D)) ) ) ) ) ).
fof(fc11_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  ~ (v1_xboole_0(k17_grcat_1(A))) ) ) ).
fof(fc12_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  => v3_grcat_1(k17_grcat_1(A))) ) ).
fof(fc13_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  ( ~ (v2_struct_0(k25_grcat_1(A)))  &  ( ~ (v11_struct_0(k25_grcat_1(A)))  & v1_cat_1(k25_grcat_1(A))) ) ) ) ).
fof(fc14_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  ( ~ (v2_struct_0(k25_grcat_1(A)))  &  ( ~ (v11_struct_0(k25_grcat_1(A)))  &  (v1_cat_1(k25_grcat_1(A)) &  (v2_cat_1(k25_grcat_1(A)) & v5_cat_1(k25_grcat_1(A))) ) ) ) ) ) ).
fof(fc15_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  ( ~ (v2_struct_0(k25_grcat_1(A)))  &  ( ~ (v11_struct_0(k25_grcat_1(A)))  &  (v1_cat_1(k25_grcat_1(A)) &  (v3_cat_1(k25_grcat_1(A)) &  (v4_cat_1(k25_grcat_1(A)) & v6_cat_1(k25_grcat_1(A))) ) ) ) ) ) ) ).
fof(fc16_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  ~ (v1_xboole_0(k26_grcat_1(A))) ) ) ).
fof(fc17_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  => v1_cat_1(k27_grcat_1(A))) ) ).
fof(fc18_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  ~ (v1_xboole_0(k28_grcat_1(A))) ) ) ).
fof(fc19_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  => v1_cat_1(k29_grcat_1(A))) ) ).
fof(t1_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (r2_hidden(k3_xtuple_0(B, C, D), A) & r2_hidden(k6_xtuple_0(B, C, D, E), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_grcat_1, axiom,  (k1_binop_1(k9_funct_5, k1_xboole_0, k1_xboole_0)=k1_xboole_0 &  (k1_funct_1(k8_funct_5, k1_xboole_0)=k1_xboole_0 & k5_funct_5=k1_xboole_0) ) ).
fof(t3_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (r2_tarski(k1_tarski(k1_xboole_0), A) &  (r2_hidden(k4_tarski(k1_tarski(k1_xboole_0), k1_tarski(k1_xboole_0)), A) &  (r2_tarski(k2_zfmisc_1(k1_tarski(k1_xboole_0), k1_tarski(k1_xboole_0)), A) &  (r2_tarski(k9_funct_5, A) & r2_tarski(k8_funct_5, A)) ) ) ) ) ) ).
fof(t4_grcat_1, axiom,  ( (! [A] :  (m1_subset_1(A, u1_struct_0(k3_algstr_0)) => A=k1_xboole_0) )  &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(k3_algstr_0)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_algstr_0)) => k3_rlvect_1(k3_algstr_0, A, B)=k1_xboole_0) ) ) )  &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(k3_algstr_0)) => k4_algstr_0(k3_algstr_0, A)=k1_xboole_0) )  & k4_struct_0(k3_algstr_0)=k1_xboole_0) ) ) ).
fof(d2_grcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => k2_grcat_1(A, B)=k2_partfun1(u4_struct_0(A), u1_struct_0(A), u1_graph_1(A), k1_grcat_1(A, B))) ) ) ) ).
fof(d3_grcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => k3_grcat_1(A, B)=k2_partfun1(u4_struct_0(A), u1_struct_0(A), u2_graph_1(A), k1_grcat_1(A, B))) ) ) ) ).
fof(d4_grcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => k4_grcat_1(A, B)=k1_realset1(u1_cat_1(A), k1_grcat_1(A, B))) ) ) ) ).
fof(d6_grcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => k5_grcat_1(A, B)=g1_cat_1(B, k1_grcat_1(A, B), k2_grcat_1(A, B), k3_grcat_1(A, B), k4_grcat_1(A, B))) ) ) ) ).
fof(t5_grcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => u1_struct_0(k5_grcat_1(A, B))=B) ) ) ) ).
fof(d7_grcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  => k6_grcat_1(A, B)=k8_funcop_1(u1_struct_0(B), u1_struct_0(A), k4_struct_0(B))) ) ) ) ).
fof(t6_grcat_1, axiom, r1_funct_2(u1_struct_0(k3_algstr_0), u1_struct_0(k3_algstr_0), k1_tarski(k5_ordinal1), k1_tarski(k5_ordinal1), k4_vectsp_1(k3_algstr_0), k8_funct_5)).
fof(t7_grcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_algstr_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_algstr_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  ( (v13_vectsp_1(D, A, B) & v13_vectsp_1(E, B, C))  => v13_vectsp_1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), A, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_grcat_1, axiom,  (! [A] :  (l1_grcat_1(A) => k7_grcat_1(A)=u1_grcat_1(A)) ) ).
fof(d10_grcat_1, axiom,  (! [A] :  (l1_grcat_1(A) => k8_grcat_1(A)=u2_grcat_1(A)) ) ).
fof(d11_grcat_1, axiom,  (! [A] :  (l1_grcat_1(A) => k9_grcat_1(A)=u3_grcat_1(A)) ) ).
fof(t8_grcat_1, axiom,  (! [A] :  (l1_grcat_1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (A=g1_grcat_1(B, C, D) =>  (k7_grcat_1(A)=B &  (k8_grcat_1(A)=C & r1_funct_2(u1_struct_0(k7_grcat_1(A)), u1_struct_0(k8_grcat_1(A)), u1_struct_0(B), u1_struct_0(C), k9_grcat_1(A), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_grcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  => k10_grcat_1(A, B)=g1_grcat_1(A, B, k6_grcat_1(A, B))) ) ) ) ).
fof(d13_grcat_1, axiom,  (! [A] :  (l1_grcat_1(A) =>  (v2_grcat_1(A) <=> v13_vectsp_1(k9_grcat_1(A), k7_grcat_1(A), k8_grcat_1(A))) ) ) ).
fof(t9_grcat_1, axiom,  (! [A] :  ( (v2_grcat_1(A) & l1_grcat_1(A))  => v13_vectsp_1(u3_grcat_1(A), u1_grcat_1(A), u2_grcat_1(A))) ) ).
fof(d14_grcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v2_grcat_1(C) & l1_grcat_1(C))  =>  (m1_grcat_1(C, A, B) <=>  (k7_grcat_1(C)=A & k8_grcat_1(C)=B) ) ) ) ) ) ) ) ).
fof(t10_grcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v1_grcat_1(C) & l1_grcat_1(C))  =>  ( (k7_grcat_1(C)=A &  (k8_grcat_1(C)=B & v13_vectsp_1(k9_grcat_1(C), k7_grcat_1(C), k8_grcat_1(C))) )  =>  (v1_grcat_1(C) & m1_grcat_1(C, A, B)) ) ) ) ) ) ) ) ).
fof(t11_grcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v13_vectsp_1(C, A, B) =>  (v1_grcat_1(g1_grcat_1(A, B, C)) & m1_grcat_1(g1_grcat_1(A, B, C), A, B)) ) ) ) ) ) ) ) ).
fof(d15_grcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  => k11_grcat_1(A)=g1_grcat_1(A, A, k3_struct_0(A))) ) ).
fof(t12_grcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  =>  (! [C] :  (m1_grcat_1(C, A, B) =>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  &  (g1_grcat_1(u1_grcat_1(C), u2_grcat_1(C), u3_grcat_1(C))=g1_grcat_1(A, B, D) & v13_vectsp_1(D, A, B)) ) ) ) ) ) ) ) ) ).
fof(t13_grcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v1_grcat_1(C) & m1_grcat_1(C, A, B))  =>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  & C=g1_grcat_1(A, B, D)) ) ) ) ) ) ) ) ).
fof(t14_grcat_1, axiom,  (! [A] :  ( (v2_grcat_1(A) & l1_grcat_1(A))  =>  (? [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  &  (? [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  & m1_grcat_1(A, B, C)) ) ) ) ) ) ).
fof(t15_grcat_1, axiom,  (! [A] :  ( (v1_grcat_1(A) &  (v2_grcat_1(A) & l1_grcat_1(A)) )  =>  (? [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  &  (? [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  &  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  &  (m1_grcat_1(A, B, C) &  (A=g1_grcat_1(B, C, D) & v13_vectsp_1(D, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t16_grcat_1, axiom,  (! [A] :  ( (v2_grcat_1(A) & l1_grcat_1(A))  =>  (! [B] :  ( (v2_grcat_1(B) & l1_grcat_1(B))  =>  ~ ( (k7_grcat_1(A)=k8_grcat_1(B) &  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l2_algstr_0(D)) ) ) )  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v13_algstr_0(E) &  (v3_rlvect_1(E) &  (v4_rlvect_1(E) & l2_algstr_0(E)) ) ) )  =>  ~ ( (m1_grcat_1(A, D, E) & m1_grcat_1(B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_grcat_1, axiom,  (! [A] :  ( (v2_grcat_1(A) & l1_grcat_1(A))  =>  (! [B] :  ( (v2_grcat_1(B) & l1_grcat_1(B))  =>  (k7_grcat_1(A)=k8_grcat_1(B) =>  (! [C] :  ( (v1_grcat_1(C) &  (v2_grcat_1(C) & l1_grcat_1(C)) )  =>  (C=k13_grcat_1(A, B) <=>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l2_algstr_0(D)) ) ) )  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v13_algstr_0(E) &  (v3_rlvect_1(E) &  (v4_rlvect_1(E) & l2_algstr_0(E)) ) ) )  =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v13_algstr_0(F) &  (v3_rlvect_1(F) &  (v4_rlvect_1(F) & l2_algstr_0(F)) ) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(E), u1_struct_0(F)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E), u1_struct_0(F))))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(D), u1_struct_0(E)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(E))))) )  =>  ( (g1_grcat_1(u1_grcat_1(A), u2_grcat_1(A), u3_grcat_1(A))=g1_grcat_1(E, F, G) & g1_grcat_1(u1_grcat_1(B), u2_grcat_1(B), u3_grcat_1(B))=g1_grcat_1(D, E, H))  => C=g1_grcat_1(D, F, k1_partfun1(u1_struct_0(D), u1_struct_0(E), u1_struct_0(E), u1_struct_0(F), H, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_grcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  =>  (! [D] :  (m1_grcat_1(D, B, C) =>  (! [E] :  (m1_grcat_1(E, A, B) => m1_grcat_1(k13_grcat_1(D, E), A, C)) ) ) ) ) ) ) ) ) ) ).
fof(t18_grcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  =>  (! [D] :  (m1_grcat_1(D, B, C) =>  (! [E] :  (m1_grcat_1(E, A, B) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ( (D=g1_grcat_1(B, C, F) & E=g1_grcat_1(A, B, G))  => k14_grcat_1(A, B, C, D, E)=g1_grcat_1(A, C, k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), G, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_grcat_1, axiom,  (! [A] :  ( (v1_grcat_1(A) &  (v2_grcat_1(A) & l1_grcat_1(A)) )  =>  (! [B] :  ( (v1_grcat_1(B) &  (v2_grcat_1(B) & l1_grcat_1(B)) )  =>  ~ ( (k7_grcat_1(B)=k8_grcat_1(A) &  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l2_algstr_0(D)) ) ) )  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v13_algstr_0(E) &  (v3_rlvect_1(E) &  (v4_rlvect_1(E) & l2_algstr_0(E)) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(C), u1_struct_0(D)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(D), u1_struct_0(E)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(E))))) )  =>  ~ ( (A=g1_grcat_1(C, D, F) &  (B=g1_grcat_1(D, E, G) & k13_grcat_1(B, A)=g1_grcat_1(C, E, k1_partfun1(u1_struct_0(C), u1_struct_0(D), u1_struct_0(D), u1_struct_0(E), F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_grcat_1, axiom,  (! [A] :  ( (v1_grcat_1(A) &  (v2_grcat_1(A) & l1_grcat_1(A)) )  =>  (! [B] :  ( (v1_grcat_1(B) &  (v2_grcat_1(B) & l1_grcat_1(B)) )  =>  (k7_grcat_1(B)=k8_grcat_1(A) =>  (k7_grcat_1(k13_grcat_1(B, A))=k7_grcat_1(A) & k8_grcat_1(k13_grcat_1(B, A))=k8_grcat_1(B)) ) ) ) ) ) ).
fof(t21_grcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l2_algstr_0(D)) ) ) )  =>  (! [E] :  ( (v1_grcat_1(E) & m1_grcat_1(E, A, B))  =>  (! [F] :  ( (v1_grcat_1(F) & m1_grcat_1(F, B, C))  =>  (! [G] :  ( (v1_grcat_1(G) & m1_grcat_1(G, C, D))  => k14_grcat_1(A, C, D, G, k14_grcat_1(A, B, C, F, E))=k14_grcat_1(A, B, D, k14_grcat_1(B, C, D, G, F), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_grcat_1, axiom,  (! [A] :  ( (v1_grcat_1(A) &  (v2_grcat_1(A) & l1_grcat_1(A)) )  =>  (! [B] :  ( (v1_grcat_1(B) &  (v2_grcat_1(B) & l1_grcat_1(B)) )  =>  (! [C] :  ( (v1_grcat_1(C) &  (v2_grcat_1(C) & l1_grcat_1(C)) )  =>  ( (k7_grcat_1(C)=k8_grcat_1(B) & k7_grcat_1(B)=k8_grcat_1(A))  => k13_grcat_1(C, k13_grcat_1(B, A))=k13_grcat_1(k13_grcat_1(C, B), A)) ) ) ) ) ) ) ).
fof(t23_grcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (k7_grcat_1(k11_grcat_1(A))=A &  (k8_grcat_1(k11_grcat_1(A))=A &  ( (! [B] :  ( (v1_grcat_1(B) &  (v2_grcat_1(B) & l1_grcat_1(B)) )  =>  (k8_grcat_1(B)=A => k13_grcat_1(k11_grcat_1(A), B)=B) ) )  &  (! [B] :  ( (v1_grcat_1(B) &  (v2_grcat_1(B) & l1_grcat_1(B)) )  =>  (k7_grcat_1(B)=A => k13_grcat_1(B, k11_grcat_1(A))=B) ) ) ) ) ) ) ) ).
fof(d17_grcat_1, axiom,  (! [A] :  (v3_grcat_1(A) <=>  (! [B] :  (r2_hidden(B, A) =>  ( ~ (v2_struct_0(B))  &  (v8_algstr_0(B) &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) ) ) ) ) ) ).
fof(d18_grcat_1, axiom,  (! [A] :  (v4_grcat_1(A) <=>  (! [B] :  (r2_hidden(B, A) =>  (v1_grcat_1(B) &  (v2_grcat_1(B) & l1_grcat_1(B)) ) ) ) ) ) ).
fof(t24_grcat_1, axiom,  (! [A] :  ( (v1_grcat_1(A) &  (v2_grcat_1(A) & l1_grcat_1(A)) )  =>  ( ~ (v1_xboole_0(k1_tarski(A)))  & v4_grcat_1(k1_tarski(A))) ) ) ).
fof(d19_grcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v4_grcat_1(C))  =>  (m4_grcat_1(C, A, B) <=>  (! [D] :  (m3_grcat_1(D, C) =>  (v1_grcat_1(D) & m1_grcat_1(D, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t25_grcat_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  =>  (m4_grcat_1(A, B, C) <=>  (! [D] :  (m1_subset_1(D, A) =>  (v1_grcat_1(D) & m1_grcat_1(D, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t26_grcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v1_grcat_1(C) & m1_grcat_1(C, A, B))  => m4_grcat_1(k1_tarski(C), A, B)) ) ) ) ) ) ).
fof(d20_grcat_1, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_struct_0(B) =>  (! [C] :  (m5_grcat_1(C, A, B) <=>  (! [D] :  (r2_tarski(D, C) =>  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) ) ) ) ) ) ).
fof(d21_grcat_1, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_struct_0(B) => k15_grcat_1(A, B)=k1_funct_2(u1_struct_0(A), u1_struct_0(B))) ) ) ) ).
fof(d22_grcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  =>  (! [C] :  (m4_grcat_1(C, A, B) =>  (C=k16_grcat_1(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (v1_grcat_1(D) & m1_grcat_1(D, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(d23_grcat_1, axiom,  (! [A] :  (! [B] :  (r1_grcat_1(A, B) <=>  (? [C] :  (? [D] :  (? [E] :  (? [F] :  (A=k6_xtuple_0(C, D, E, F) &  (? [G] :  ( ( ~ (v2_struct_0(G))  &  (v8_algstr_0(G) &  (v13_algstr_0(G) &  (v3_rlvect_1(G) &  (v4_rlvect_1(G) & l2_algstr_0(G)) ) ) ) )  &  (B=G &  (C=u1_struct_0(G) &  (D=u1_algstr_0(G) &  (E=k4_vectsp_1(G) & F=k4_struct_0(G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_grcat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r1_grcat_1(A, B) & r1_grcat_1(A, C))  => B=C) ) ) ) ).
fof(t28_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (? [B] :  (r2_tarski(B, A) & r1_grcat_1(B, k3_algstr_0)) ) ) ) ).
fof(d24_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  (B=k17_grcat_1(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  (? [D] :  (r2_hidden(D, A) & r1_grcat_1(D, C)) ) ) ) ) ) ) ) ).
fof(t29_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  => r2_tarski(k3_algstr_0, k17_grcat_1(A))) ) ).
fof(t30_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  (m1_subset_1(B, k17_grcat_1(A)) =>  ( ~ (v2_struct_0(B))  &  (v8_algstr_0(B) &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) ) ) ) ) ) ).
fof(d25_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v3_grcat_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_grcat_1(B))  =>  (B=k18_grcat_1(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  (? [D] :  ( (v8_algstr_0(D) & m2_grcat_1(D, A))  &  (? [E] :  ( (v8_algstr_0(E) & m2_grcat_1(E, A))  &  (v1_grcat_1(C) & m1_grcat_1(C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d26_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v3_grcat_1(A))  =>  (! [B] :  (m2_grcat_1(B, A) => k21_grcat_1(A, B)=k11_grcat_1(B)) ) ) ) ).
fof(d27_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v3_grcat_1(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k18_grcat_1(A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k18_grcat_1(A), A)))) )  =>  (B=k22_grcat_1(A) <=>  (! [C] :  (m3_grcat_1(C, k18_grcat_1(A)) => k3_funct_2(k18_grcat_1(A), A, B, C)=k19_grcat_1(A, C)) ) ) ) ) ) ) ).
fof(d28_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v3_grcat_1(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k18_grcat_1(A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k18_grcat_1(A), A)))) )  =>  (B=k23_grcat_1(A) <=>  (! [C] :  (m3_grcat_1(C, k18_grcat_1(A)) => k3_funct_2(k18_grcat_1(A), A, B, C)=k20_grcat_1(A, C)) ) ) ) ) ) ) ).
fof(t31_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v3_grcat_1(A))  =>  (! [B] :  (m3_grcat_1(B, k18_grcat_1(A)) =>  (! [C] :  (m3_grcat_1(C, k18_grcat_1(A)) =>  ~ ( (k19_grcat_1(A, B)=k20_grcat_1(A, C) &  (! [D] :  ( (v8_algstr_0(D) & m2_grcat_1(D, A))  =>  (! [E] :  ( (v8_algstr_0(E) & m2_grcat_1(E, A))  =>  (! [F] :  ( (v8_algstr_0(F) & m2_grcat_1(F, A))  =>  ~ ( (m1_grcat_1(B, E, F) & m1_grcat_1(C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v3_grcat_1(A))  =>  (! [B] :  (m3_grcat_1(B, k18_grcat_1(A)) =>  (! [C] :  (m3_grcat_1(C, k18_grcat_1(A)) =>  (k19_grcat_1(A, B)=k20_grcat_1(A, C) => r2_tarski(k13_grcat_1(B, C), k18_grcat_1(A))) ) ) ) ) ) ) ).
fof(d29_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v3_grcat_1(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k18_grcat_1(A), k18_grcat_1(A)), k18_grcat_1(A)))))  =>  (B=k24_grcat_1(A) <=>  ( (! [C] :  (m3_grcat_1(C, k18_grcat_1(A)) =>  (! [D] :  (m3_grcat_1(D, k18_grcat_1(A)) =>  (r2_hidden(k4_tarski(C, D), k9_xtuple_0(B)) <=> k19_grcat_1(A, C)=k20_grcat_1(A, D)) ) ) ) )  &  (! [C] :  (m3_grcat_1(C, k18_grcat_1(A)) =>  (! [D] :  (m3_grcat_1(D, k18_grcat_1(A)) =>  (r2_hidden(k4_tarski(C, D), k9_xtuple_0(B)) => k1_binop_1(B, C, D)=k13_grcat_1(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d30_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  => k25_grcat_1(A)=g1_cat_1(k17_grcat_1(A), k18_grcat_1(k17_grcat_1(A)), k22_grcat_1(k17_grcat_1(A)), k23_grcat_1(k17_grcat_1(A)), k24_grcat_1(k17_grcat_1(A)))) ) ).
fof(t33_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(k25_grcat_1(A))) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(k25_grcat_1(A))) =>  (r2_hidden(k4_tarski(C, B), k9_xtuple_0(u1_cat_1(k25_grcat_1(A)))) <=> k3_graph_1(k25_grcat_1(A), C)=k4_graph_1(k25_grcat_1(A), B)) ) ) ) ) ) ) ).
fof(t34_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(k25_grcat_1(A))) =>  (! [C] :  (m3_grcat_1(C, k18_grcat_1(k17_grcat_1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k25_grcat_1(A))) =>  (! [E] :  (m2_grcat_1(E, k17_grcat_1(A)) =>  ( (v1_grcat_1(B) & m3_grcat_1(B, k18_grcat_1(k17_grcat_1(A))))  &  (m1_subset_1(C, u4_struct_0(k25_grcat_1(A))) &  ( (v8_algstr_0(D) & m2_grcat_1(D, k17_grcat_1(A)))  & m1_subset_1(E, u1_struct_0(k25_grcat_1(A)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(k25_grcat_1(A))) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(k25_grcat_1(A))) =>  (! [D] :  (m3_grcat_1(D, k18_grcat_1(k17_grcat_1(A))) =>  (! [E] :  (m3_grcat_1(E, k18_grcat_1(k17_grcat_1(A))) =>  ( (B=D & C=E)  =>  ( (k3_graph_1(k25_grcat_1(A), C)=k4_graph_1(k25_grcat_1(A), B) => k19_grcat_1(k17_grcat_1(A), E)=k20_grcat_1(k17_grcat_1(A), D))  &  ( (k19_grcat_1(k17_grcat_1(A), E)=k20_grcat_1(k17_grcat_1(A), D) => k3_graph_1(k25_grcat_1(A), C)=k4_graph_1(k25_grcat_1(A), B))  &  ( (k3_graph_1(k25_grcat_1(A), C)=k4_graph_1(k25_grcat_1(A), B) => r2_hidden(k4_tarski(E, D), k9_xtuple_0(k24_grcat_1(k17_grcat_1(A)))))  &  ( (r2_hidden(k4_tarski(E, D), k9_xtuple_0(k24_grcat_1(k17_grcat_1(A)))) => k3_graph_1(k25_grcat_1(A), C)=k4_graph_1(k25_grcat_1(A), B))  &  ( (k3_graph_1(k25_grcat_1(A), C)=k4_graph_1(k25_grcat_1(A), B) => k1_cat_1(k25_grcat_1(A), B, C)=k13_grcat_1(E, D))  &  ( (k3_graph_1(k25_grcat_1(A), B)=k3_graph_1(k25_grcat_1(A), C) => k19_grcat_1(k17_grcat_1(A), D)=k19_grcat_1(k17_grcat_1(A), E))  &  ( (k19_grcat_1(k17_grcat_1(A), D)=k19_grcat_1(k17_grcat_1(A), E) => k3_graph_1(k25_grcat_1(A), B)=k3_graph_1(k25_grcat_1(A), C))  &  ( (k4_graph_1(k25_grcat_1(A), B)=k4_graph_1(k25_grcat_1(A), C) => k20_grcat_1(k17_grcat_1(A), D)=k20_grcat_1(k17_grcat_1(A), E))  &  (k20_grcat_1(k17_grcat_1(A), D)=k20_grcat_1(k17_grcat_1(A), E) => k4_graph_1(k25_grcat_1(A), B)=k4_graph_1(k25_grcat_1(A), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  => r2_tarski(k3_algstr_0, k26_grcat_1(A))) ) ).
fof(d32_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  => k27_grcat_1(A)=k5_grcat_1(k25_grcat_1(A), k26_grcat_1(A))) ) ).
fof(t38_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  => u1_struct_0(k27_grcat_1(A))=k26_grcat_1(A)) ) ).
fof(d34_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  => k29_grcat_1(A)=k5_grcat_1(k27_grcat_1(A), k28_grcat_1(A))) ) ).
fof(t39_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  => u1_struct_0(k29_grcat_1(A))=k28_grcat_1(A)) ) ).
fof(t40_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  => r2_tarski(k3_algstr_0, k28_grcat_1(A))) ) ).
fof(t41_grcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ( (v2_funct_1(C) & v2_funct_2(C, u1_struct_0(B)))  =>  (r2_funct_2(u1_struct_0(B), u1_struct_0(B), k1_partfun1(u1_struct_0(B), u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), k2_tops_2(u1_struct_0(A), u1_struct_0(B), C), C), k3_struct_0(B)) &  (r2_funct_2(u1_struct_0(A), u1_struct_0(A), k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(A), C, k2_tops_2(u1_struct_0(A), u1_struct_0(B), C)), k3_struct_0(A)) &  (v2_funct_1(k2_tops_2(u1_struct_0(A), u1_struct_0(B), C)) & v2_funct_2(k2_tops_2(u1_struct_0(A), u1_struct_0(B), C), u1_struct_0(A))) ) ) ) ) ) ) ) ) ) ).
fof(t42_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k25_grcat_1(A))) =>  (! [C] :  (m2_grcat_1(C, k17_grcat_1(A)) =>  (B=C => k4_cat_1(k25_grcat_1(A), B)=k21_grcat_1(k17_grcat_1(A), C)) ) ) ) ) ) ) ).
fof(dt_k1_grcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k1_grcat_1(A, B), k1_zfmisc_1(u4_struct_0(A)))) ) ).
fof(dt_k2_grcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (v1_funct_1(k2_grcat_1(A, B)) &  (v1_funct_2(k2_grcat_1(A, B), k1_grcat_1(A, B), B) & m1_subset_1(k2_grcat_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_grcat_1(A, B), B)))) ) ) ) ).
fof(dt_k3_grcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (v1_funct_1(k3_grcat_1(A, B)) &  (v1_funct_2(k3_grcat_1(A, B), k1_grcat_1(A, B), B) & m1_subset_1(k3_grcat_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_grcat_1(A, B), B)))) ) ) ) ).
fof(dt_k4_grcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (v1_funct_1(k4_grcat_1(A, B)) & m1_subset_1(k4_grcat_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k8_mcart_1(u4_struct_0(A), u4_struct_0(A), k1_grcat_1(A, B), k1_grcat_1(A, B)), k1_grcat_1(A, B))))) ) ) ).
fof(dt_k5_grcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => m3_cat_2(k5_grcat_1(A, B), A)) ) ).
fof(dt_k6_grcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  ( ~ (v2_struct_0(B))  & l2_struct_0(B)) )  =>  (v1_funct_1(k6_grcat_1(A, B)) &  (v1_funct_2(k6_grcat_1(A, B), u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(k6_grcat_1(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ).
fof(abstractness_v1_grcat_1, axiom,  (! [A] :  (l1_grcat_1(A) =>  (v1_grcat_1(A) => A=g1_grcat_1(u1_grcat_1(A), u2_grcat_1(A), u3_grcat_1(A))) ) ) ).
fof(existence_l1_grcat_1, axiom,  (? [A] : l1_grcat_1(A)) ).
fof(dt_g1_grcat_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (v1_grcat_1(g1_grcat_1(A, B, C)) & l1_grcat_1(g1_grcat_1(A, B, C))) ) ) ).
fof(free_g1_grcat_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (! [D, E, F] :  (g1_grcat_1(A, B, C)=g1_grcat_1(D, E, F) =>  (A=D &  (B=E & C=F) ) ) ) ) ) ).
fof(dt_u1_grcat_1, axiom,  (! [A] :  (l1_grcat_1(A) =>  ( ~ (v2_struct_0(u1_grcat_1(A)))  &  (v13_algstr_0(u1_grcat_1(A)) &  (v3_rlvect_1(u1_grcat_1(A)) &  (v4_rlvect_1(u1_grcat_1(A)) & l2_algstr_0(u1_grcat_1(A))) ) ) ) ) ) ).
fof(dt_u2_grcat_1, axiom,  (! [A] :  (l1_grcat_1(A) =>  ( ~ (v2_struct_0(u2_grcat_1(A)))  &  (v13_algstr_0(u2_grcat_1(A)) &  (v3_rlvect_1(u2_grcat_1(A)) &  (v4_rlvect_1(u2_grcat_1(A)) & l2_algstr_0(u2_grcat_1(A))) ) ) ) ) ) ).
fof(dt_u3_grcat_1, axiom,  (! [A] :  (l1_grcat_1(A) =>  (v1_funct_1(u3_grcat_1(A)) &  (v1_funct_2(u3_grcat_1(A), u1_struct_0(u1_grcat_1(A)), u1_struct_0(u2_grcat_1(A))) & m1_subset_1(u3_grcat_1(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(u1_grcat_1(A)), u1_struct_0(u2_grcat_1(A)))))) ) ) ) ).
fof(dt_k7_grcat_1, axiom,  (! [A] :  (l1_grcat_1(A) =>  ( ~ (v2_struct_0(k7_grcat_1(A)))  &  (v13_algstr_0(k7_grcat_1(A)) &  (v3_rlvect_1(k7_grcat_1(A)) &  (v4_rlvect_1(k7_grcat_1(A)) & l2_algstr_0(k7_grcat_1(A))) ) ) ) ) ) ).
fof(dt_k8_grcat_1, axiom,  (! [A] :  (l1_grcat_1(A) =>  ( ~ (v2_struct_0(k8_grcat_1(A)))  &  (v13_algstr_0(k8_grcat_1(A)) &  (v3_rlvect_1(k8_grcat_1(A)) &  (v4_rlvect_1(k8_grcat_1(A)) & l2_algstr_0(k8_grcat_1(A))) ) ) ) ) ) ).
fof(dt_k9_grcat_1, axiom,  (! [A] :  (l1_grcat_1(A) =>  (v1_funct_1(k9_grcat_1(A)) &  (v1_funct_2(k9_grcat_1(A), u1_struct_0(k7_grcat_1(A)), u1_struct_0(k8_grcat_1(A))) & m1_subset_1(k9_grcat_1(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_grcat_1(A)), u1_struct_0(k8_grcat_1(A)))))) ) ) ) ).
fof(dt_k10_grcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  => l1_grcat_1(k10_grcat_1(A, B))) ) ).
fof(dt_m1_grcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  =>  (! [C] :  (m1_grcat_1(C, A, B) =>  (v2_grcat_1(C) & l1_grcat_1(C)) ) ) ) ) ).
fof(existence_m1_grcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  =>  (? [C] : m1_grcat_1(C, A, B)) ) ) ).
fof(dt_k11_grcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  => m1_grcat_1(k11_grcat_1(A), A, A)) ) ).
fof(dt_k12_grcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  =>  (v1_grcat_1(k12_grcat_1(A, B)) & m1_grcat_1(k12_grcat_1(A, B), A, B)) ) ) ).
fof(redefinition_k12_grcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  => k12_grcat_1(A, B)=k10_grcat_1(A, B)) ) ).
fof(dt_k13_grcat_1, axiom,  (! [A, B] :  ( ( (v2_grcat_1(A) & l1_grcat_1(A))  &  (v2_grcat_1(B) & l1_grcat_1(B)) )  =>  (v1_grcat_1(k13_grcat_1(A, B)) &  (v2_grcat_1(k13_grcat_1(A, B)) & l1_grcat_1(k13_grcat_1(A, B))) ) ) ) ).
fof(dt_k14_grcat_1, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  &  (m1_grcat_1(D, B, C) & m1_grcat_1(E, A, B)) ) ) )  =>  (v1_grcat_1(k14_grcat_1(A, B, C, D, E)) & m1_grcat_1(k14_grcat_1(A, B, C, D, E), A, C)) ) ) ).
fof(redefinition_k14_grcat_1, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  &  (m1_grcat_1(D, B, C) & m1_grcat_1(E, A, B)) ) ) )  => k14_grcat_1(A, B, C, D, E)=k13_grcat_1(D, E)) ) ).
fof(dt_m2_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v3_grcat_1(A))  =>  (! [B] :  (m2_grcat_1(B, A) =>  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) ) ) ) ) ).
fof(existence_m2_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v3_grcat_1(A))  =>  (? [B] : m2_grcat_1(B, A)) ) ) ).
fof(redefinition_m2_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v3_grcat_1(A))  =>  (! [B] :  (m2_grcat_1(B, A) <=> m1_subset_1(B, A)) ) ) ) ).
fof(dt_m3_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_grcat_1(A))  =>  (! [B] :  (m3_grcat_1(B, A) =>  (v2_grcat_1(B) & l1_grcat_1(B)) ) ) ) ) ).
fof(existence_m3_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_grcat_1(A))  =>  (? [B] : m3_grcat_1(B, A)) ) ) ).
fof(redefinition_m3_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_grcat_1(A))  =>  (! [B] :  (m3_grcat_1(B, A) <=> m1_subset_1(B, A)) ) ) ) ).
fof(dt_m4_grcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  =>  (! [C] :  (m4_grcat_1(C, A, B) =>  ( ~ (v1_xboole_0(C))  & v4_grcat_1(C)) ) ) ) ) ).
fof(existence_m4_grcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  =>  (? [C] : m4_grcat_1(C, A, B)) ) ) ).
fof(existence_m5_grcat_1, axiom,  (! [A, B] :  ( (l1_struct_0(A) & l1_struct_0(B))  =>  (? [C] : m5_grcat_1(C, A, B)) ) ) ).
fof(dt_k15_grcat_1, axiom,  (! [A, B] :  ( (l1_struct_0(A) & l1_struct_0(B))  => m5_grcat_1(k15_grcat_1(A, B), A, B)) ) ).
fof(dt_m6_grcat_1, axiom,  (! [A, B, C] :  ( (l1_struct_0(A) &  ( ( ~ (v2_struct_0(B))  & l1_struct_0(B))  &  ( ~ (v1_xboole_0(C))  & m5_grcat_1(C, A, B)) ) )  =>  (! [D] :  (m6_grcat_1(D, A, B, C) =>  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) ) ).
fof(existence_m6_grcat_1, axiom,  (! [A, B, C] :  ( (l1_struct_0(A) &  ( ( ~ (v2_struct_0(B))  & l1_struct_0(B))  &  ( ~ (v1_xboole_0(C))  & m5_grcat_1(C, A, B)) ) )  =>  (? [D] : m6_grcat_1(D, A, B, C)) ) ) ).
fof(redefinition_m6_grcat_1, axiom,  (! [A, B, C] :  ( (l1_struct_0(A) &  ( ( ~ (v2_struct_0(B))  & l1_struct_0(B))  &  ( ~ (v1_xboole_0(C))  & m5_grcat_1(C, A, B)) ) )  =>  (! [D] :  (m6_grcat_1(D, A, B, C) <=> m1_subset_1(D, C)) ) ) ) ).
fof(dt_k16_grcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  => m4_grcat_1(k16_grcat_1(A, B), A, B)) ) ).
fof(dt_m7_grcat_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  & m4_grcat_1(C, A, B)) )  =>  (! [D] :  (m7_grcat_1(D, A, B, C) => m1_grcat_1(D, A, B)) ) ) ) ).
fof(existence_m7_grcat_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  & m4_grcat_1(C, A, B)) )  =>  (? [D] : m7_grcat_1(D, A, B, C)) ) ) ).
fof(redefinition_m7_grcat_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  & m4_grcat_1(C, A, B)) )  =>  (! [D] :  (m7_grcat_1(D, A, B, C) <=> m1_subset_1(D, C)) ) ) ) ).
fof(dt_k18_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v3_grcat_1(A))  =>  ( ~ (v1_xboole_0(k18_grcat_1(A)))  & v4_grcat_1(k18_grcat_1(A))) ) ) ).
fof(dt_k19_grcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v3_grcat_1(A))  & m1_subset_1(B, k18_grcat_1(A)))  =>  (v8_algstr_0(k19_grcat_1(A, B)) & m2_grcat_1(k19_grcat_1(A, B), A)) ) ) ).
fof(redefinition_k19_grcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v3_grcat_1(A))  & m1_subset_1(B, k18_grcat_1(A)))  => k19_grcat_1(A, B)=k7_grcat_1(B)) ) ).
fof(dt_k20_grcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v3_grcat_1(A))  & m1_subset_1(B, k18_grcat_1(A)))  =>  (v8_algstr_0(k20_grcat_1(A, B)) & m2_grcat_1(k20_grcat_1(A, B), A)) ) ) ).
fof(redefinition_k20_grcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v3_grcat_1(A))  & m1_subset_1(B, k18_grcat_1(A)))  => k20_grcat_1(A, B)=k8_grcat_1(B)) ) ).
fof(dt_k21_grcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v3_grcat_1(A))  & m1_subset_1(B, A))  =>  (v1_grcat_1(k21_grcat_1(A, B)) & m3_grcat_1(k21_grcat_1(A, B), k18_grcat_1(A))) ) ) ).
fof(dt_k22_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v3_grcat_1(A))  =>  (v1_funct_1(k22_grcat_1(A)) &  (v1_funct_2(k22_grcat_1(A), k18_grcat_1(A), A) & m1_subset_1(k22_grcat_1(A), k1_zfmisc_1(k2_zfmisc_1(k18_grcat_1(A), A)))) ) ) ) ).
fof(dt_k23_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v3_grcat_1(A))  =>  (v1_funct_1(k23_grcat_1(A)) &  (v1_funct_2(k23_grcat_1(A), k18_grcat_1(A), A) & m1_subset_1(k23_grcat_1(A), k1_zfmisc_1(k2_zfmisc_1(k18_grcat_1(A), A)))) ) ) ) ).
fof(dt_k24_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v3_grcat_1(A))  =>  (v1_funct_1(k24_grcat_1(A)) & m1_subset_1(k24_grcat_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k18_grcat_1(A), k18_grcat_1(A)), k18_grcat_1(A))))) ) ) ).
fof(dt_k25_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  ( ~ (v2_struct_0(k25_grcat_1(A)))  &  ( ~ (v11_struct_0(k25_grcat_1(A)))  &  (v1_cat_1(k25_grcat_1(A)) & l1_cat_1(k25_grcat_1(A))) ) ) ) ) ).
fof(dt_k26_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  => m1_subset_1(k26_grcat_1(A), k1_zfmisc_1(u1_struct_0(k25_grcat_1(A))))) ) ).
fof(dt_k27_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  => m3_cat_2(k27_grcat_1(A), k25_grcat_1(A))) ) ).
fof(dt_k28_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  => m1_subset_1(k28_grcat_1(A), k1_zfmisc_1(u1_struct_0(k27_grcat_1(A))))) ) ).
fof(dt_k29_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  => m3_cat_2(k29_grcat_1(A), k27_grcat_1(A))) ) ).
fof(d1_grcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => k1_grcat_1(A, B)=k3_tarski(a_2_0_grcat_1(A, B))) ) ) ) ).
fof(d31_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  => k26_grcat_1(A)=a_1_0_grcat_1(A)) ) ).
fof(d33_grcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  => k28_grcat_1(A)=a_1_1_grcat_1(A)) ) ).
fof(fraenkel_a_2_0_grcat_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (r2_hidden(A, a_2_0_grcat_1(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, u1_struct_0(B)) & m1_subset_1(E, u1_struct_0(B)))  &  (A=k2_cat_1(B, D, E) &  (r2_tarski(D, C) & r2_tarski(E, C)) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_grcat_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  & v1_classes2(B))  =>  (r2_hidden(A, a_1_0_grcat_1(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k25_grcat_1(B))) &  (A=C &  (? [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l2_algstr_0(D)) ) ) ) )  & C=D) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_1_grcat_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  & v1_classes2(B))  =>  (r2_hidden(A, a_1_1_grcat_1(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k27_grcat_1(B))) &  (A=C &  (? [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v2_midsp_2(D) & l2_algstr_0(D)) ) ) ) ) )  & C=D) ) ) ) ) ) ) ) ).
fof(fc1_grfunc_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v1_funct_1(k3_xboole_0(A, B))) ) ).
fof(fc2_grfunc_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v1_funct_1(k4_xboole_0(A, B))) ) ).
fof(cc1_grfunc_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  & m1_subset_1(B, k1_zfmisc_1(A)))  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v5_funct_1(C, B)) )  =>  (v1_relat_1(C) &  (v1_funct_1(C) & v5_funct_1(C, A)) ) ) ) ) ) ).
fof(cc2_grfunc_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) &  (v1_funct_1(B) & v5_funct_1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => v5_funct_1(C, A)) ) ) ) ).
fof(t1_grfunc_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (r1_tarski(B, A) =>  (v1_relat_1(B) & v1_funct_1(B)) ) ) ) ) ).
fof(t2_grfunc_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_tarski(A, B) <=>  (r1_tarski(k9_xtuple_0(A), k9_xtuple_0(B)) &  (! [C] :  (r2_hidden(C, k9_xtuple_0(A)) => k1_funct_1(A, C)=k1_funct_1(B, C)) ) ) ) ) ) ) ) ).
fof(t3_grfunc_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (k9_xtuple_0(A)=k9_xtuple_0(B) & r1_tarski(A, B))  => A=B) ) ) ) ) ).
fof(t4_grfunc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r2_hidden(k4_tarski(A, B), k3_relat_1(C, D)) =>  (r2_hidden(k4_tarski(A, k1_funct_1(C, A)), C) & r2_hidden(k4_tarski(k1_funct_1(C, A), B), D)) ) ) ) ) ) ) ) ).
fof(t5_grfunc_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(k1_tarski(k4_tarski(A, B))) & v1_funct_1(k1_tarski(k4_tarski(A, B)))) ) ) ).
fof(t6_grfunc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k1_tarski(k4_tarski(A, B)) => k1_funct_1(C, A)=B) ) ) ) ) ).
fof(t7_grfunc_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (k9_xtuple_0(B)=k1_tarski(A) => B=k1_tarski(k4_tarski(A, k1_funct_1(B, A)))) ) ) ) ).
fof(t8_grfunc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(k2_tarski(k4_tarski(A, C), k4_tarski(B, D))) & v1_funct_1(k2_tarski(k4_tarski(A, C), k4_tarski(B, D))))  <=>  (A=B => C=D) ) ) ) ) ) ).
fof(t9_grfunc_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v2_funct_1(A) <=>  (! [B] :  (! [C] :  (! [D] :  ( (r2_hidden(k4_tarski(B, D), A) & r2_hidden(k4_tarski(C, D), A))  => B=C) ) ) ) ) ) ) ).
fof(t10_grfunc_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (r1_tarski(B, A) & v2_funct_1(A))  => v2_funct_1(B)) ) ) ) ) ).
fof(t11_grfunc_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r2_hidden(A, k9_xtuple_0(k3_xboole_0(B, C))) => k1_funct_1(k3_xboole_0(B, C), A)=k1_funct_1(B, A)) ) ) ) ) ) ).
fof(t12_grfunc_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (v2_funct_1(A) => v2_funct_1(k3_xboole_0(A, B))) ) ) ) ) ).
fof(t13_grfunc_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)) =>  (v1_relat_1(k2_xboole_0(A, B)) & v1_funct_1(k2_xboole_0(A, B))) ) ) ) ) ) ).
fof(t14_grfunc_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r1_tarski(A, C) & r1_tarski(B, C))  =>  (v1_relat_1(k2_xboole_0(A, B)) & v1_funct_1(k2_xboole_0(A, B))) ) ) ) ) ) ) ) ).
fof(t15_grfunc_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (r2_hidden(A, k9_xtuple_0(C)) & D=k2_xboole_0(B, C))  => k1_funct_1(D, A)=k1_funct_1(C, A)) ) ) ) ) ) ) ) ).
fof(t16_grfunc_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ~ ( (r2_hidden(A, k9_xtuple_0(D)) &  (D=k2_xboole_0(B, C) &  ( ~ (k1_funct_1(D, A)=k1_funct_1(B, A))  &  ~ (k1_funct_1(D, A)=k1_funct_1(C, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_grfunc_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (v2_funct_1(A) &  (v2_funct_1(B) &  (C=k2_xboole_0(A, B) & r1_xboole_0(k10_xtuple_0(A), k10_xtuple_0(B))) ) )  => v2_funct_1(C)) ) ) ) ) ) ) ).
fof(t20_grfunc_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v2_funct_1(A) =>  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(C, B), k2_funct_1(A)) <=> r2_hidden(k4_tarski(B, C), A)) ) ) ) ) ) ).
fof(t21_grfunc_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (A=k1_xboole_0 => k2_funct_1(A)=k1_xboole_0) ) ) ).
fof(t22_grfunc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r2_hidden(B, k9_xtuple_0(C)) & r2_hidden(B, A))  <=> r2_hidden(k4_tarski(B, k1_funct_1(C, B)), k5_relat_1(C, A))) ) ) ) ) ).
fof(t23_grfunc_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_tarski(B, A) => k5_relat_1(A, k9_xtuple_0(B))=B) ) ) ) ) ).
fof(t24_grfunc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r2_hidden(B, k9_xtuple_0(C)) & r2_tarski(k1_funct_1(C, B), A))  <=> r2_hidden(k4_tarski(B, k1_funct_1(C, B)), k6_relat_1(A, C))) ) ) ) ) ).
fof(t25_grfunc_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (r1_tarski(B, A) & v2_funct_1(A))  => k6_relat_1(k10_xtuple_0(B), A)=B) ) ) ) ) ).
fof(t26_grfunc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r2_hidden(B, k8_relat_1(C, A)) <=>  (r2_hidden(k4_tarski(B, k1_funct_1(C, B)), C) & r2_tarski(k1_funct_1(C, B), A)) ) ) ) ) ) ).
fof(t27_grfunc_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r1_tarski(A, k9_xtuple_0(B)) & r1_tarski(B, C))  => k5_relat_1(B, A)=k5_relat_1(C, A)) ) ) ) ) ) ).
fof(t28_grfunc_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (r2_tarski(B, k9_xtuple_0(A)) => k5_relat_1(A, k1_tarski(B))=k1_tarski(k4_tarski(B, k1_funct_1(A, B)))) ) ) ) ).
fof(t29_grfunc_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (k9_xtuple_0(A)=k9_xtuple_0(B) & k1_funct_1(A, C)=k1_funct_1(B, C))  => k5_relat_1(A, k1_tarski(C))=k5_relat_1(B, k1_tarski(C))) ) ) ) ) ) ).
fof(t30_grfunc_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (! [D] :  ( (k9_xtuple_0(A)=k9_xtuple_0(B) &  (k1_funct_1(A, C)=k1_funct_1(B, C) & k1_funct_1(A, D)=k1_funct_1(B, D)) )  => k5_relat_1(A, k2_tarski(C, D))=k5_relat_1(B, k2_tarski(C, D))) ) ) ) ) ) ) ).
fof(t31_grfunc_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (! [D] :  (! [E] :  ( (k9_xtuple_0(A)=k9_xtuple_0(B) &  (k1_funct_1(A, C)=k1_funct_1(B, C) &  (k1_funct_1(A, D)=k1_funct_1(B, D) & k1_funct_1(A, E)=k1_funct_1(B, E)) ) )  => k5_relat_1(A, k1_enumset1(C, D, E))=k5_relat_1(B, k1_enumset1(C, D, E))) ) ) ) ) ) ) ) ).
fof(t32_grfunc_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r2_hidden(A, k6_subset_1(k9_xtuple_0(B), k9_xtuple_0(C))) => k1_funct_1(k6_subset_1(B, C), A)=k1_funct_1(B, A)) ) ) ) ) ) ).
fof(t33_grfunc_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r1_tarski(A, B) & r1_tarski(A, C))  => k5_relat_1(B, k9_xtuple_0(A))=k5_relat_1(C, k9_xtuple_0(A))) ) ) ) ) ) ) ).
fof(t34_grfunc_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_tarski(B, A) => B=k5_relat_1(A, k9_xtuple_0(B))) ) ) ) ) ).
fof(t35_grfunc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (r1_tarski(D, C) &  (r2_hidden(B, A) & r1_tarski(k3_xboole_0(A, k9_xtuple_0(C)), k9_xtuple_0(D))) )  => k1_funct_1(C, B)=k1_funct_1(D, B)) ) ) ) ) ) ) ).
fof(fc1_grnilp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  ~ (v1_xboole_0(k2_grnilp_1(A))) ) ) ).
fof(rc1_grnilp_1, axiom,  (? [A] :  (l3_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v1_group_1(A) &  (v2_group_1(A) &  (v3_group_1(A) & v1_grnilp_1(A)) ) ) ) ) ) ) ).
fof(cc1_grnilp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v1_grnilp_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_group_2(B, A) => v1_grnilp_1(B)) ) ) ) ).
fof(cc2_grnilp_1, axiom,  (! [A] :  (l3_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & v5_group_1(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & v1_grnilp_1(A)) ) ) ) ) ) ).
fof(cc3_grnilp_1, axiom,  (! [A] :  (l3_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & v1_gr_cy_1(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & v1_grnilp_1(A)) ) ) ) ) ) ).
fof(fc2_grnilp_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) &  (v1_grnilp_1(A) & l3_algstr_0(A)) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v15_algstr_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (v15_algstr_0(k10_group_6(A, B, C)) & v1_grnilp_1(k10_group_6(A, B, C))) ) ) ).
fof(fc3_grnilp_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) &  (v1_grnilp_1(A) & l3_algstr_0(A)) ) ) ) )  &  (v15_algstr_0(B) &  (v1_group_3(B, A) & m1_group_2(B, A)) ) )  => v1_grnilp_1(k5_group_6(A, B))) ) ).
fof(cc4_grnilp_1, axiom,  (! [A] :  (l3_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & v1_grnilp_1(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & v1_grsolv_1(A)) ) ) ) ) ) ).
fof(t1_grnilp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_group_3(A, B, C)=k6_algstr_0(A, B, k2_group_5(A, B, C))) ) ) ) ) ) ).
fof(t2_grnilp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_group_1(A, k2_group_5(A, B, C))=k2_group_3(A, k2_group_5(A, B, k2_group_1(A, C)), C)) ) ) ) ) ) ).
fof(t3_grnilp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_group_1(A, k2_group_5(A, B, C))=k2_group_3(A, k2_group_5(A, k2_group_1(A, B), C), B)) ) ) ) ) ) ).
fof(t4_grnilp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_group_1(A, k2_group_3(A, k2_group_5(A, B, k2_group_1(A, C)), C))=k2_group_3(A, k2_group_5(A, k2_group_1(A, C), B), C)) ) ) ) ) ) ).
fof(t5_grnilp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_group_3(A, k3_group_5(A, B, k2_group_1(A, C), D), C)=k2_group_5(A, k2_group_3(A, k2_group_5(A, B, k2_group_1(A, C)), C), k2_group_3(A, D, C))) ) ) ) ) ) ) ) ).
fof(t6_grnilp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_group_3(A, k2_group_5(A, B, k2_group_1(A, C)), C)=k2_group_5(A, C, B)) ) ) ) ) ) ).
fof(t7_grnilp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_group_3(A, k3_group_5(A, B, k2_group_1(A, C), D), C)=k3_group_5(A, C, B, k2_group_3(A, D, C))) ) ) ) ) ) ) ) ).
fof(t8_grnilp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k6_algstr_0(A, k6_algstr_0(A, k3_group_5(A, B, C, k2_group_3(A, D, B)), k3_group_5(A, D, B, k2_group_3(A, C, D))), k3_group_5(A, C, D, k2_group_3(A, B, C)))=k1_group_1(A)) ) ) ) ) ) ) ) ).
fof(t9_grnilp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) => m1_group_6(k8_group_5(A, B, C), A, k8_group_5(A, C, B))) ) ) ) ) ) ).
fof(t10_grnilp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (m1_group_6(C, A, B) => r1_tarski(k5_group_5(A, B, C), k8_group_2(A, B))) ) ) ) ) ) ) ).
fof(t11_grnilp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (m1_group_6(C, A, B) => m1_group_6(k1_grnilp_1(A, B, C), A, B)) ) ) ) ) ) ) ).
fof(t12_grnilp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (m1_group_6(C, A, B) => m1_group_6(k1_grnilp_1(A, C, B), A, B)) ) ) ) ) ) ) ).
fof(t13_grnilp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_group_2(D, A) =>  (m1_group_6(k1_grnilp_1(A, C, k7_group_2(A)), A, D) => m1_group_6(k1_grnilp_1(A, k10_group_2(A, C, B), B), A, k10_group_2(A, D, B))) ) ) ) ) ) ) ) ) ).
fof(t14_grnilp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) => m1_group_6(k1_grnilp_1(A, B, C), A, k1_grnilp_1(A, B, k7_group_2(A)))) ) ) ) ) ) ).
fof(t15_grnilp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  ( (v1_group_3(B, A) & m1_group_2(B, A))  <=> m1_group_6(k1_grnilp_1(A, B, k7_group_2(A)), A, B)) ) ) ) ) ).
fof(d1_grnilp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (B=k2_grnilp_1(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  (v15_algstr_0(C) &  (v1_group_3(C, A) & m1_group_2(C, A)) ) ) ) ) ) ) ) ).
fof(t16_grnilp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m2_finseq_1(B, k2_grnilp_1(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r2_tarski(C, k4_finseq_1(B)) =>  (v15_algstr_0(k1_funct_1(B, C)) &  (v1_group_3(k1_funct_1(B, C), A) & m1_group_2(k1_funct_1(B, C), A)) ) ) ) ) ) ) ) ) ).
fof(t17_grnilp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  => r1_tarski(k2_grnilp_1(A), k1_group_3(A))) ) ).
fof(t18_grnilp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m2_finseq_1(B, k2_grnilp_1(A)) => m2_finseq_1(B, k1_group_3(A))) ) ) ) ).
fof(d2_grnilp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (v1_grnilp_1(A) <=>  (? [B] :  (m2_finseq_1(B, k2_grnilp_1(A)) &  ( ~ (r1_xxreal_0(k3_finseq_1(B), k5_numbers))  &  (k1_funct_1(B, 1)=k7_group_2(A) &  (k1_funct_1(B, k3_finseq_1(B))=k6_group_2(A) &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (r2_tarski(C, k4_finseq_1(B)) & r2_tarski(k2_xcmplx_0(C, 1), k4_finseq_1(B)))  =>  (! [D] :  ( (v15_algstr_0(D) &  (v1_group_3(D, A) & m1_group_2(D, A)) )  =>  (! [E] :  ( (v15_algstr_0(E) &  (v1_group_3(E, A) & m1_group_2(E, A)) )  =>  ( (D=k1_funct_1(B, C) & E=k1_funct_1(B, k2_xcmplx_0(C, 1)))  =>  (m1_group_6(E, A, D) & m1_group_6(k5_group_6(D, k1_group_6(A, D, E)), k5_group_6(A, E), k10_group_5(k5_group_6(A, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_grnilp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  ( (v15_algstr_0(C) &  (v1_group_3(C, A) & m1_group_2(C, A)) )  =>  ( (m1_group_6(C, A, B) & m1_group_6(k5_group_6(B, k1_group_6(A, B, C)), k5_group_6(A, C), k10_group_5(k5_group_6(A, C))))  => m1_group_6(k1_grnilp_1(A, B, k7_group_2(A)), A, C)) ) ) ) ) ) ) ).
fof(t20_grnilp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  ( (v1_group_3(C, A) & m1_group_2(C, A))  =>  ( ( (v15_algstr_0(C) & m1_group_6(C, A, B))  &  (v15_algstr_0(k1_grnilp_1(A, B, k7_group_2(A))) & m1_group_6(k1_grnilp_1(A, B, k7_group_2(A)), A, C)) )  => m1_group_6(k5_group_6(B, k1_group_6(A, B, C)), k5_group_6(A, C), k10_group_5(k5_group_6(A, C)))) ) ) ) ) ) ) ).
fof(t21_grnilp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (v1_grnilp_1(A) <=>  (? [B] :  (m2_finseq_1(B, k2_grnilp_1(A)) &  ( ~ (r1_xxreal_0(k3_finseq_1(B), k5_numbers))  &  (k1_funct_1(B, 1)=k7_group_2(A) &  (k1_funct_1(B, k3_finseq_1(B))=k6_group_2(A) &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (r2_tarski(C, k4_finseq_1(B)) & r2_tarski(k2_xcmplx_0(C, 1), k4_finseq_1(B)))  =>  (! [D] :  ( (v15_algstr_0(D) &  (v1_group_3(D, A) & m1_group_2(D, A)) )  =>  (! [E] :  ( (v15_algstr_0(E) &  (v1_group_3(E, A) & m1_group_2(E, A)) )  =>  ( (D=k1_funct_1(B, C) & E=k1_funct_1(B, k2_xcmplx_0(C, 1)))  =>  (m1_group_6(E, A, D) & m1_group_6(k1_grnilp_1(A, D, k7_group_2(A)), A, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_grnilp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  ( (v15_algstr_0(D) &  (v1_group_3(D, A) & m1_group_2(D, A)) )  =>  (! [E] :  (m1_group_6(E, A, B) =>  (! [F] :  ( (v1_group_3(F, B) & m1_group_6(F, A, B))  =>  ( (m1_group_6(D, A, C) &  (m1_group_6(k5_group_6(C, k1_group_6(A, C, D)), k5_group_6(A, D), k10_group_5(k5_group_6(A, D))) &  (E=k10_group_2(A, C, B) & F=k3_group_6(A, D, B)) ) )  => m1_group_6(k5_group_6(E, k1_group_6(B, E, F)), k5_group_6(B, F), k10_group_5(k5_group_6(B, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_grnilp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v15_algstr_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v15_algstr_0(D) & m1_group_2(D, A))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (k13_group_2(B, k2_grsolv_1(A, B, C, D), k6_algstr_0(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, E), k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, F)))=k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, k13_group_2(A, D, k6_algstr_0(A, E, F))) & k5_group_2(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, F), k14_group_2(B, k2_grsolv_1(A, B, C, D), k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, E)))=k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, k5_group_2(A, F, k14_group_2(A, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_grnilp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v15_algstr_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v15_algstr_0(D) & m1_group_2(D, A))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_group_6(G, B, k10_group_6(A, B, C)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k10_group_6(A, B, C))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k10_group_6(A, B, C))) =>  ( (H=k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, E) &  (I=k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, F) & G=k2_grsolv_1(A, B, C, D)) )  => k13_group_2(k10_group_6(A, B, C), G, k6_algstr_0(k10_group_6(A, B, C), H, I))=k13_group_2(B, k2_grsolv_1(A, B, C, D), k6_algstr_0(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, E), k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_grnilp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v15_algstr_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v15_algstr_0(D) & m1_group_2(D, A))  =>  (! [E] :  ( (v15_algstr_0(E) &  (v1_group_3(E, A) & m1_group_2(E, A)) )  =>  (! [F] :  ( (v15_algstr_0(F) & m1_group_6(F, B, k10_group_6(A, B, C)))  =>  (! [G] :  ( (v15_algstr_0(G) &  (v1_group_3(G, k10_group_6(A, B, C)) & m1_group_6(G, B, k10_group_6(A, B, C))) )  =>  ( ( (v15_algstr_0(E) & m1_group_6(E, A, D))  &  (m1_group_6(k5_group_6(D, k1_group_6(A, D, E)), k5_group_6(A, E), k10_group_5(k5_group_6(A, E))) &  (r1_group_2(B, F, k2_grsolv_1(A, B, C, D)) & r1_group_2(B, G, k2_grsolv_1(A, B, C, E))) ) )  => m1_group_6(k5_group_6(F, k1_group_6(k10_group_6(A, B, C), F, G)), k5_group_6(k10_group_6(A, B, C), G), k10_group_5(k5_group_6(k10_group_6(A, B, C), G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_grnilp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v15_algstr_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v15_algstr_0(D) &  (v1_group_3(D, A) & m1_group_2(D, A)) )  =>  (v15_algstr_0(k2_grsolv_1(A, B, C, D)) &  (v1_group_3(k2_grsolv_1(A, B, C, D), k10_group_6(A, B, C)) & m1_group_6(k2_grsolv_1(A, B, C, D), B, k10_group_6(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t27_grnilp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  ( (? [B] :  (m2_finseq_1(B, k2_grnilp_1(A)) &  ( ~ (r1_xxreal_0(k3_finseq_1(B), k5_numbers))  &  (k1_funct_1(B, 1)=k7_group_2(A) &  (k1_funct_1(B, k3_finseq_1(B))=k6_group_2(A) &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (r2_tarski(C, k4_finseq_1(B)) & r2_tarski(k2_xcmplx_0(C, 1), k4_finseq_1(B)))  =>  (! [D] :  ( (v15_algstr_0(D) &  (v1_group_3(D, A) & m1_group_2(D, A)) )  =>  (D=k1_funct_1(B, C) => k1_grnilp_1(A, D, k7_group_2(A))=k1_funct_1(B, k2_xcmplx_0(C, 1))) ) ) ) ) ) ) ) ) ) )  => v1_grnilp_1(A)) ) ) ).
fof(t28_grnilp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  ( (? [B] :  (m2_finseq_1(B, k2_grnilp_1(A)) &  ( ~ (r1_xxreal_0(k3_finseq_1(B), k5_numbers))  &  (k1_funct_1(B, 1)=k7_group_2(A) &  (k1_funct_1(B, k3_finseq_1(B))=k6_group_2(A) &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (r2_tarski(C, k4_finseq_1(B)) & r2_tarski(k2_xcmplx_0(C, 1), k4_finseq_1(B)))  =>  (! [D] :  ( (v15_algstr_0(D) &  (v1_group_3(D, A) & m1_group_2(D, A)) )  =>  (! [E] :  ( (v15_algstr_0(E) &  (v1_group_3(E, A) & m1_group_2(E, A)) )  =>  ( (D=k1_funct_1(B, C) & E=k1_funct_1(B, k2_xcmplx_0(C, 1)))  =>  (m1_group_6(E, A, D) &  ( ~ (v2_struct_0(k5_group_6(A, E)))  &  (v2_group_1(k5_group_6(A, E)) &  (v3_group_1(k5_group_6(A, E)) &  (v5_group_1(k5_group_6(A, E)) & l3_algstr_0(k5_group_6(A, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  => v1_grnilp_1(A)) ) ) ).
fof(t29_grnilp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  ( (? [B] :  (m2_finseq_1(B, k2_grnilp_1(A)) &  ( ~ (r1_xxreal_0(k3_finseq_1(B), k5_numbers))  &  (k1_funct_1(B, 1)=k7_group_2(A) &  (k1_funct_1(B, k3_finseq_1(B))=k6_group_2(A) &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (r2_tarski(C, k4_finseq_1(B)) & r2_tarski(k2_xcmplx_0(C, 1), k4_finseq_1(B)))  =>  (! [D] :  ( (v15_algstr_0(D) &  (v1_group_3(D, A) & m1_group_2(D, A)) )  =>  (! [E] :  ( (v15_algstr_0(E) &  (v1_group_3(E, A) & m1_group_2(E, A)) )  =>  ( (D=k1_funct_1(B, C) & E=k1_funct_1(B, k2_xcmplx_0(C, 1)))  =>  (m1_group_6(E, A, D) &  ( ~ (v2_struct_0(k5_group_6(A, E)))  &  (v2_group_1(k5_group_6(A, E)) &  (v3_group_1(k5_group_6(A, E)) &  (v1_gr_cy_1(k5_group_6(A, E)) & l3_algstr_0(k5_group_6(A, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  => v1_grnilp_1(A)) ) ) ).
fof(dt_k1_grnilp_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_group_2(B, A) & m1_group_2(C, A)) )  =>  (v15_algstr_0(k1_grnilp_1(A, B, C)) & m1_group_2(k1_grnilp_1(A, B, C), A)) ) ) ).
fof(commutativity_k1_grnilp_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_group_2(B, A) & m1_group_2(C, A)) )  => k1_grnilp_1(A, B, C)=k1_grnilp_1(A, C, B)) ) ).
fof(redefinition_k1_grnilp_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_group_2(B, A) & m1_group_2(C, A)) )  => k1_grnilp_1(A, B, C)=k8_group_5(A, B, C)) ) ).
fof(fc1_groeb_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (v1_orders_2(g1_orders_2(k15_pre_poly(A), k4_groeb_1(A))) & v4_dickson(g1_orders_2(k15_pre_poly(A), k4_groeb_1(A)))) ) ) ).
fof(t1_groeb_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  ~ ( (r4_polyred(A, B, C, D, E, F) &  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k15_pre_poly(A), u1_struct_0(C)) &  (v3_polynom7(G, A, C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  ~ (F=k7_polynom1(A, C, D, k10_polynom1(A, C, G, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_groeb_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  ~ ( (r4_polyred(A, B, C, D, E, F) &  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k15_pre_poly(A), u1_struct_0(C)) &  (v3_polynom7(G, A, C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  ~ ( (F=k7_polynom1(A, C, D, k11_polynom1(A, C, G, E)) &  ( ~ (r2_tarski(k3_termord(A, B, C, k11_polynom1(A, C, G, E)), k3_polynom1(k15_pre_poly(A), C, F)))  & r1_termord(A, B, k3_termord(A, B, C, k11_polynom1(A, C, G, E)), k3_termord(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_groeb_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  ( (r1_tarski(F, G) & r5_polyred(A, B, C, D, E, F))  => r5_polyred(A, B, C, D, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_groeb_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  (r1_tarski(D, E) => r1_relset_1(k8_struct_0(k12_polynom1(A, C)), u1_struct_0(k12_polynom1(A, C)), k3_polyred(A, B, C, D), k3_polyred(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_groeb_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  => k3_polynom1(k15_pre_poly(A), B, k5_vfunct_1(k15_pre_poly(A), B, C))=k3_polynom1(k15_pre_poly(A), B, C)) ) ) ) ) ) ).
fof(t6_groeb_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  => r6_pboole(A, k3_termord(A, B, C, k5_vfunct_1(k15_pre_poly(A), C, D)), k3_termord(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t7_groeb_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  => r1_termord(A, B, k3_termord(A, B, C, k7_polynom1(A, C, D, E)), k2_termord(A, B, k3_termord(A, B, C, D), k3_termord(A, B, C, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t8_groeb_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (r1_tarski(k3_polynom1(k15_pre_poly(A), C, E), k3_polynom1(k15_pre_poly(A), C, D)) => r1_polyred(A, B, C, E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_groeb_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom7(D, A, C) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom7(E, A, C) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  =>  (r6_polyred(A, B, C, D, E) => r1_termord(A, B, k3_termord(A, B, C, E), k3_termord(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_groeb_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  => v9_rewrite1(k3_polyred(A, B, C, k1_groeb_1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t11_groeb_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  ( (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  &  (r2_tarski(E, D) & k7_ideal_1(k12_polynom1(A, C), D)=k7_ideal_1(k12_polynom1(A, C), k1_groeb_1(A, C, E))) ) )  => v9_rewrite1(k3_polyred(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t12_groeb_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  (v9_rewrite1(k3_polyred(A, B, C, D)) => v7_rewrite1(k3_polyred(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t13_groeb_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  (v7_rewrite1(k3_polyred(A, B, C, D)) => v4_rewrite1(k3_polyred(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t14_groeb_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  (v4_rewrite1(k3_polyred(A, B, C, D)) => v8_rewrite1(k3_polyred(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t15_groeb_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))))  =>  (v8_rewrite1(k3_polyred(A, B, C, D)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (r2_tarski(E, k7_ideal_1(k12_polynom1(A, C), D)) => r1_rewrite1(k3_polyred(A, B, C, D), E, k8_polynom1(A, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_groeb_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  ( (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (r2_tarski(E, k7_ideal_1(k12_polynom1(A, C), D)) => r1_rewrite1(k3_polyred(A, B, C, D), E, k8_polynom1(A, C))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom7(E, A, C) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  =>  (r2_tarski(E, k7_ideal_1(k12_polynom1(A, C), D)) => r7_polyred(A, B, C, E, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_groeb_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  ( (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom7(E, A, C) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  =>  (r2_tarski(E, k7_ideal_1(k12_polynom1(A, C), D)) => r7_polyred(A, B, C, E, D)) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom7(E, A, C) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  =>  (r2_tarski(E, k7_ideal_1(k12_polynom1(A, C), D)) => r10_polyred(A, B, C, E, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_groeb_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  ( (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom7(E, A, C) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  =>  (r2_tarski(E, k7_ideal_1(k12_polynom1(A, C), D)) => r10_polyred(A, B, C, E, D)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) )  =>  ~ ( (r2_tarski(E, k2_groeb_1(A, B, C, k7_ideal_1(k12_polynom1(A, C), D))) &  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) &  (v1_partfun1(F, A) &  (v4_valued_0(F) & v2_pre_poly(F)) ) ) ) )  =>  ~ ( (r2_tarski(F, k2_groeb_1(A, B, C, D)) & r3_pre_poly(A, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_groeb_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  ( (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) )  =>  ~ ( (r2_tarski(E, k2_groeb_1(A, B, C, k7_ideal_1(k12_polynom1(A, C), D))) &  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) &  (v1_partfun1(F, A) &  (v4_valued_0(F) & v2_pre_poly(F)) ) ) ) )  =>  ~ ( (r2_tarski(F, k2_groeb_1(A, B, C, D)) & r3_pre_poly(A, F, E)) ) ) ) ) ) ) )  => r1_tarski(k2_groeb_1(A, B, C, k7_ideal_1(k12_polynom1(A, C), D)), k3_groeb_1(A, k2_groeb_1(A, B, C, D)))) ) ) ) ) ) ) ) ) ).
fof(t20_groeb_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  (r1_tarski(k2_groeb_1(A, B, C, k7_ideal_1(k12_polynom1(A, C), D)), k3_groeb_1(A, k2_groeb_1(A, B, C, D))) => v9_rewrite1(k3_polyred(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(d3_groeb_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  (r1_groeb_1(A, B, C, D) <=> v9_rewrite1(k3_polyred(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(d4_groeb_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  (r2_groeb_1(A, B, C, D, E) <=>  (k7_ideal_1(k12_polynom1(A, C), D)=E & v9_rewrite1(k3_polyred(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_groeb_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))))  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))))  =>  (r2_groeb_1(A, B, C, D, E) => m2_rewrite1(k3_polyred(A, B, C, D), k3_polyred(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_groeb_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k12_polynom1(A, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k12_polynom1(A, C))) =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  & m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))))  =>  (r1_groeb_1(A, B, C, F) =>  (r11_polyred(k12_polynom1(A, C), k7_ideal_1(k12_polynom1(A, C), F), D, E) <=> k2_rewrite1(k3_polyred(A, B, C, F), D)=k2_rewrite1(k3_polyred(A, B, C, F), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_groeb_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))))  =>  (r1_groeb_1(A, B, C, E) =>  (r2_tarski(D, k7_ideal_1(k12_polynom1(A, C), E)) <=> r1_rewrite1(k3_polyred(A, B, C, E), D, k8_polynom1(A, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_groeb_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))))  =>  (r2_groeb_1(A, B, C, E, D) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (r2_tarski(F, D) => r1_rewrite1(k3_polyred(A, B, C, E), F, k8_polynom1(A, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_groeb_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  ( (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (r2_tarski(F, E) => r1_rewrite1(k3_polyred(A, B, C, D), F, k8_polynom1(A, C))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom7(F, A, C) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  =>  (r2_tarski(F, E) => r7_polyred(A, B, C, F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_groeb_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_ideal_1(D, k12_polynom1(A, C)) &  (v2_ideal_1(D, k12_polynom1(A, C)) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C))))) )  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  ( (r1_tarski(E, D) &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom7(F, A, C) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  =>  (r2_tarski(F, D) => r7_polyred(A, B, C, F, E)) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom7(F, A, C) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  =>  (r2_tarski(F, D) => r10_polyred(A, B, C, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_groeb_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  ( (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom7(F, A, C) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  =>  (r2_tarski(F, E) => r10_polyred(A, B, C, F, D)) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) &  (v1_partfun1(F, A) &  (v4_valued_0(F) & v2_pre_poly(F)) ) ) ) )  =>  ~ ( (r2_tarski(F, k2_groeb_1(A, B, C, E)) &  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, A) &  (v1_funct_1(G) &  (v1_partfun1(G, A) &  (v4_valued_0(G) & v2_pre_poly(G)) ) ) ) )  =>  ~ ( (r2_tarski(G, k2_groeb_1(A, B, C, D)) & r3_pre_poly(A, G, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_groeb_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  ( (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) &  (v1_partfun1(F, A) &  (v4_valued_0(F) & v2_pre_poly(F)) ) ) ) )  =>  ~ ( (r2_tarski(F, k2_groeb_1(A, B, C, E)) &  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, A) &  (v1_funct_1(G) &  (v1_partfun1(G, A) &  (v4_valued_0(G) & v2_pre_poly(G)) ) ) ) )  =>  ~ ( (r2_tarski(G, k2_groeb_1(A, B, C, D)) & r3_pre_poly(A, G, F)) ) ) ) ) ) ) )  => r1_tarski(k2_groeb_1(A, B, C, E), k3_groeb_1(A, k2_groeb_1(A, B, C, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_groeb_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_ideal_1(D, k12_polynom1(A, C)) &  (v2_ideal_1(D, k12_polynom1(A, C)) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C))))) ) )  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))))  =>  ( (r1_tarski(E, D) & r1_tarski(k2_groeb_1(A, B, C, D), k3_groeb_1(A, k2_groeb_1(A, B, C, E))))  => r2_groeb_1(A, B, C, E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_groeb_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) )  => r2_groeb_1(A, B, C, k1_groeb_1(A, C, k8_polynom1(A, C)), k1_groeb_1(A, C, k8_polynom1(A, C)))) ) ) ) ) ) ).
fof(t31_groeb_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  => r2_groeb_1(A, B, C, k1_groeb_1(A, C, D), k7_ideal_1(k12_polynom1(A, C), k1_groeb_1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t32_groeb_1, axiom,  (! [A] :  ( (v1_partfun1(A, k15_pre_poly(k1_xboole_0)) &  (v1_relat_2(A) &  (v4_relat_2(A) &  (v6_relat_2(A) &  (v8_relat_2(A) &  (v2_bagorder(A, k1_xboole_0) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(k1_xboole_0), k15_pre_poly(k1_xboole_0))))) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_ideal_1(C, k12_polynom1(k1_xboole_0, B)) &  (v2_ideal_1(C, k12_polynom1(k1_xboole_0, B)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k12_polynom1(k1_xboole_0, B))))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(k1_xboole_0, B)))))  =>  (r1_tarski(D, C) =>  (D=k1_groeb_1(k1_xboole_0, B, k8_polynom1(k1_xboole_0, B)) | r2_groeb_1(k1_xboole_0, A, B, D, C)) ) ) ) ) ) ) ) ) ) ).
fof(t33_groeb_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v3_ordinal1(A))  =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) )  =>  ~ ( (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) => r1_groeb_1(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(d5_groeb_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) )  =>  (B=k4_groeb_1(A) <=>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (r2_hidden(k4_tarski(C, D), B) <=> r3_pre_poly(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t34_groeb_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(g1_orders_2(k15_pre_poly(A), k4_groeb_1(A))))) =>  (? [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(k15_pre_poly(A))))  & r1_dickson(g1_orders_2(k15_pre_poly(A), k4_groeb_1(A)), B, C)) ) ) ) ) ) ).
fof(t35_groeb_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_ideal_1(D, k12_polynom1(A, C)) &  (v2_ideal_1(D, k12_polynom1(A, C)) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C))))) ) )  =>  (? [E] :  ( (v1_finset_1(E) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))))  & r2_groeb_1(A, B, C, E, D)) ) ) ) ) ) ) ) ) ) ).
fof(t36_groeb_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_ideal_1(D, k12_polynom1(A, C)) &  (v2_ideal_1(D, k12_polynom1(A, C)) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C))))) ) )  =>  ~ ( ( ~ (D=k1_groeb_1(A, C, k8_polynom1(A, C)))  &  (! [E] :  ( (v1_finset_1(E) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))))  =>  ~ ( (r2_groeb_1(A, B, C, E, D) &  ~ (r2_tarski(k8_polynom1(A, C), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_groeb_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l5_algstr_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (r3_groeb_1(A, B, C, D) <=> k4_termord(A, B, C, D)=k5_struct_0(C)) ) ) ) ) ) ) ) ) ).
fof(d7_groeb_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  (r4_groeb_1(A, B, C, D) <=>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (r2_tarski(E, D) =>  (r3_groeb_1(A, B, C, E) &  ~ (r7_polyred(A, B, C, E, k7_subset_1(u1_struct_0(k12_polynom1(A, C)), D, k1_groeb_1(A, C, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_groeb_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_ideal_1(D, k12_polynom1(A, C)) &  (v2_ideal_1(D, k12_polynom1(A, C)) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v3_polynom7(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(G, C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  ( (r2_tarski(F, D) &  (r2_tarski(G, D) &  (k5_termord(A, B, C, F)=E &  (k5_termord(A, B, C, G)=E &  ( (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(H, C) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  ~ ( (r2_tarski(H, D) &  (r2_polyred(A, B, C, H, F) & k5_termord(A, B, C, H)=E) ) ) ) )  &  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(H, C) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  ~ ( (r2_tarski(H, D) &  (r2_polyred(A, B, C, H, G) & k5_termord(A, B, C, H)=E) ) ) ) ) ) ) ) ) )  => F=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_groeb_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_ideal_1(D, k12_polynom1(A, C)) &  (v2_ideal_1(D, k12_polynom1(A, C)) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C))))) ) )  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom7(G, A, C) &  (v1_polynom1(G, C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  =>  ( (r2_tarski(F, E) &  (r2_tarski(G, E) &  (r3_pre_poly(A, k3_termord(A, B, C, G), k3_termord(A, B, C, F)) & r2_groeb_1(A, B, C, E, D)) ) )  =>  (F=G | r2_groeb_1(A, B, C, k7_subset_1(u1_struct_0(k12_polynom1(A, C)), E, k1_groeb_1(A, C, F)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_groeb_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_ideal_1(D, k12_polynom1(A, C)) &  (v2_ideal_1(D, k12_polynom1(A, C)) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C))))) ) )  =>  ~ ( ( ~ (D=k1_groeb_1(A, C, k8_polynom1(A, C)))  &  (! [E] :  ( (v1_finset_1(E) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))))  =>  ~ ( (r2_groeb_1(A, B, C, E, D) & r4_groeb_1(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_groeb_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_ideal_1(D, k12_polynom1(A, C)) &  (v2_ideal_1(D, k12_polynom1(A, C)) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C))))) ) )  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v1_finset_1(E) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C))))) )  =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  &  (v1_finset_1(F) & m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C))))) )  =>  ( (r2_groeb_1(A, B, C, E, D) &  (r4_groeb_1(A, B, C, E) &  (r2_groeb_1(A, B, C, F, D) & r4_groeb_1(A, B, C, F)) ) )  => E=F) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_groeb_1, axiom,  (! [A, B, C] :  ( (v3_ordinal1(A) &  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) ) )  => m1_subset_1(k1_groeb_1(A, B, C), k1_zfmisc_1(u1_struct_0(k12_polynom1(A, B))))) ) ).
fof(redefinition_k1_groeb_1, axiom,  (! [A, B, C] :  ( (v3_ordinal1(A) &  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) ) )  => k1_groeb_1(A, B, C)=k1_tarski(C)) ) ).
fof(dt_k2_groeb_1, axiom,  (! [A, B, C, D] :  ( (v3_ordinal1(A) &  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) )  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C))))) ) )  => m1_subset_1(k2_groeb_1(A, B, C, D), k1_zfmisc_1(k15_pre_poly(A)))) ) ).
fof(dt_k3_groeb_1, axiom,  (! [A, B] :  ( (v3_ordinal1(A) & m1_subset_1(B, k1_zfmisc_1(k15_pre_poly(A))))  => m1_subset_1(k3_groeb_1(A, B), k1_zfmisc_1(k15_pre_poly(A)))) ) ).
fof(dt_k4_groeb_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_partfun1(k4_groeb_1(A), k15_pre_poly(A)) &  (v1_relat_2(k4_groeb_1(A)) &  (v4_relat_2(k4_groeb_1(A)) &  (v8_relat_2(k4_groeb_1(A)) & m1_subset_1(k4_groeb_1(A), k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) ) ).
fof(d1_groeb_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) => k2_groeb_1(A, B, C, D)=a_4_0_groeb_1(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(d2_groeb_1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k15_pre_poly(A))) => k3_groeb_1(A, B)=a_2_0_groeb_1(A, B)) ) ) ) ).
fof(fraenkel_a_4_0_groeb_1, axiom,  (! [A, B, C, D, E] :  ( (v3_ordinal1(B) &  ( (v1_partfun1(C, k15_pre_poly(B)) &  (v1_relat_2(C) &  (v4_relat_2(C) &  (v6_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B), k15_pre_poly(B))))) ) ) ) )  &  ( ( ~ (v2_struct_0(D))  &  ( ~ (v7_struct_0(D))  &  (v13_algstr_0(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l6_algstr_0(D)) ) ) ) ) ) )  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k12_polynom1(B, D))))) ) )  =>  (r2_hidden(A, a_4_0_groeb_1(B, C, D, E)) <=>  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(B), u1_struct_0(D)) &  (v1_polynom1(F, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B), u1_struct_0(D))))) ) )  &  (A=k3_termord(B, C, D, F) &  (r2_tarski(F, E) &  ~ (F=k8_polynom1(B, D)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_groeb_1, axiom,  (! [A, B, C] :  ( (v3_ordinal1(B) & m1_subset_1(C, k1_zfmisc_1(k15_pre_poly(B))))  =>  (r2_hidden(A, a_2_0_groeb_1(B, C)) <=>  (? [D] :  (m2_subset_1(D, k14_pre_poly(B), k15_pre_poly(B)) &  (A=D &  (? [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, B) &  (v1_funct_1(E) &  (v1_partfun1(E, B) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) )  &  (r2_tarski(E, C) & r3_pre_poly(B, E, D)) ) ) ) ) ) ) ) ) ).
fof(fc1_groeb_2, axiom,  (! [A, B] :  ( ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  &  ( ~ (v9_struct_0(B, A))  & m1_subset_1(B, u1_struct_0(A))) )  =>  ~ (v9_struct_0(k4_algstr_0(A, B), A)) ) ) ).
fof(fc2_groeb_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v7_algstr_0(B) &  (v5_vectsp_1(B) &  (v4_rlvect_1(B) &  (v1_algstr_1(B) & l6_algstr_0(B)) ) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v3_polynom7(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  & m1_subset_1(D, u1_struct_0(B))) )  =>  (v1_funct_1(k5_polynom7(A, B, C, D)) &  (v1_funct_2(k5_polynom7(A, B, C, D), k15_pre_poly(A), u1_struct_0(B)) & v3_polynom7(k5_polynom7(A, B, C, D), A, B)) ) ) ) ).
fof(fc3_groeb_2, axiom,  (! [A, B, C, D] :  ( (v3_ordinal1(A) &  ( ( ~ (v7_struct_0(B))  &  (v7_algstr_0(B) &  (v5_vectsp_1(B) &  (v4_rlvect_1(B) &  (v1_vectsp_2(B) &  (v1_algstr_1(B) & l6_algstr_0(B)) ) ) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom7(C, A, B) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) )  &  ( ~ (v9_struct_0(D, B))  & m1_subset_1(D, u1_struct_0(B))) ) ) )  =>  (v1_funct_1(k5_polynom7(A, B, C, D)) &  (v1_funct_2(k5_polynom7(A, B, C, D), k15_pre_poly(A), u1_struct_0(B)) & v1_polynom7(k5_polynom7(A, B, C, D), A, B)) ) ) ) ).
fof(fc4_groeb_2, axiom,  (! [A, B, C, D] :  ( (v3_ordinal1(A) &  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  &  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  &  (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C))))) ) ) )  => v1_finset_1(k4_groeb_2(A, B, C, D))) ) ).
fof(t1_groeb_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r2_tarski(D, k4_finseq_1(B)) =>  (r1_xxreal_0(D, C) | k1_funct_1(B, D)=k4_struct_0(A)) ) ) )  => k4_rlvect_1(A, B)=k4_rlvect_1(A, k17_finseq_1(u1_struct_0(A), C, B))) ) ) ) ) ) ) ).
fof(t2_groeb_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => k4_rlvect_1(A, k2_finseq_7(u1_struct_0(A), B, C, D))=k4_rlvect_1(A, B)) ) ) ) ) ) ) ) ).
fof(d1_groeb_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (r3_pre_poly(A, C, B) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (D=k1_groeb_2(A, B, C) <=> r6_pboole(A, k11_pre_poly(A, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(d2_groeb_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (D=k2_groeb_2(A, B, C) <=>  (! [E] : k1_funct_1(D, E)=k4_xxreal_0(k1_funct_1(B, E), k1_funct_1(C, E))) ) ) ) ) ) ) ) ) ).
fof(d3_groeb_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (r1_groeb_2(A, B, C) <=>  (! [D] :  (k1_funct_1(B, D)=k5_numbers | k1_funct_1(C, D)=k5_numbers) ) ) ) ) ) ) ) ).
fof(t3_groeb_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (r3_pre_poly(A, B, k2_groeb_2(A, B, C)) & r3_pre_poly(A, C, k2_groeb_2(A, B, C))) ) ) ) ) ) ).
fof(t4_groeb_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  ( (r3_pre_poly(A, B, D) & r3_pre_poly(A, C, D))  => r3_pre_poly(A, k2_groeb_2(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t5_groeb_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (r1_groeb_2(A, B, C) <=> r6_pboole(A, k2_groeb_2(A, B, C), k11_pre_poly(A, B, C))) ) ) ) ) ) ).
fof(t6_groeb_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  => r6_pboole(A, k1_groeb_2(A, B, B), k16_pre_poly(A))) ) ) ).
fof(t7_groeb_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (r3_pre_poly(A, C, B) <=> r6_pboole(A, k2_groeb_2(A, B, C), B)) ) ) ) ) ) ).
fof(t8_groeb_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (r3_pre_poly(A, B, k2_groeb_2(A, C, D)) => r3_pre_poly(A, k2_groeb_2(A, C, B), k2_groeb_2(A, C, D))) ) ) ) ) ) ) ) ).
fof(t9_groeb_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (r3_pre_poly(A, k2_groeb_2(A, C, B), k2_groeb_2(A, C, D)) => r3_pre_poly(A, k2_groeb_2(A, B, D), k2_groeb_2(A, C, D))) ) ) ) ) ) ) ) ).
fof(t10_groeb_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (r3_pre_poly(A, k2_groeb_2(A, B, D), k2_groeb_2(A, C, D)) => r3_pre_poly(A, B, k2_groeb_2(A, C, D))) ) ) ) ) ) ) ) ).
fof(t11_groeb_2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k15_pre_poly(A))))  =>  (? [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  &  (r2_tarski(D, C) &  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) )  =>  (r2_tarski(E, C) => r1_termord(A, B, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_groeb_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_vectsp_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) )  => r8_pboole(k15_pre_poly(A), k1_polyred(A, E, B, k5_polynom1(A, B, C, D)), k5_polynom1(A, B, k1_polyred(A, E, B, C), k1_polyred(A, E, B, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t13_groeb_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  => r8_pboole(k15_pre_poly(A), k1_polyred(A, D, B, k5_vfunct_1(k15_pre_poly(A), B, C)), k5_vfunct_1(k15_pre_poly(A), B, k1_polyred(A, D, B, C)))) ) ) ) ) ) ) ) ).
fof(t14_groeb_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_algstr_0(B) &  (v1_vectsp_1(B) &  (v1_algstr_1(B) & l6_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => r8_pboole(k15_pre_poly(A), k1_polyred(A, D, B, k5_polynom7(A, B, C, E)), k5_polynom7(A, B, k1_polyred(A, D, B, C), E))) ) ) ) ) ) ) ) ) ) ).
fof(t15_groeb_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_vectsp_1(B) & l6_algstr_0(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => r8_pboole(k15_pre_poly(A), k5_polynom7(A, B, k5_polynom1(A, B, C, D), E), k5_polynom1(A, B, k5_polynom7(A, B, C, E), k5_polynom7(A, B, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t16_groeb_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => r8_pboole(k15_pre_poly(A), k5_vfunct_1(k15_pre_poly(A), B, k4_polynom7(A, B, C)), k4_polynom7(A, B, k4_algstr_0(B, C)))) ) ) ) ) ).
fof(t17_groeb_2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  ( (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  ( (r2_tarski(E, D) & r2_tarski(F, D))  =>  (E=F |  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k15_pre_poly(A), u1_struct_0(C)) &  (v3_polynom7(G, A, C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k15_pre_poly(A), u1_struct_0(C)) &  (v3_polynom7(H, A, C) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (r8_pboole(k15_pre_poly(A), k5_termord(A, B, C, k11_polynom1(A, C, G, E)), k5_termord(A, B, C, k11_polynom1(A, C, H, F))) => r1_rewrite1(k3_polyred(A, B, C, D), k7_polynom1(A, C, k11_polynom1(A, C, G, E), k11_polynom1(A, C, H, F)), k8_polynom1(A, C))) ) ) ) ) ) ) ) ) ) )  => r1_groeb_1(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(d4_groeb_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  => k3_groeb_2(A, B, C, D, E)=k7_polynom1(A, C, k5_polynom7(A, C, k1_polyred(A, k1_groeb_2(A, k2_groeb_2(A, k3_termord(A, B, C, D), k3_termord(A, B, C, E)), k3_termord(A, B, C, D)), C, D), k4_termord(A, B, C, E)), k5_polynom7(A, C, k1_polyred(A, k1_groeb_2(A, k2_groeb_2(A, k3_termord(A, B, C, D), k3_termord(A, B, C, E)), k3_termord(A, B, C, E)), C, E), k4_termord(A, B, C, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t18_groeb_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  ( (r2_tarski(E, D) & r2_tarski(F, D))  => r2_tarski(k3_groeb_2(A, B, C, E, F), k7_ideal_1(k12_polynom1(A, C), D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_groeb_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v3_polynom7(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v3_polynom7(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  => r8_pboole(k15_pre_poly(A), k3_groeb_2(A, B, C, D, E), k8_polynom1(A, C))) ) ) ) ) ) ) ) ) ) ).
fof(t20_groeb_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (r8_pboole(k15_pre_poly(A), k3_groeb_2(A, B, C, D, k8_polynom1(A, C)), k8_polynom1(A, C)) & r8_pboole(k15_pre_poly(A), k3_groeb_2(A, B, C, k8_polynom1(A, C), D), k8_polynom1(A, C))) ) ) ) ) ) ) ) ) ).
fof(t21_groeb_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (r8_pboole(k15_pre_poly(A), k3_groeb_2(A, B, C, D, E), k8_polynom1(A, C)) | r2_termord(A, B, k3_termord(A, B, C, k3_groeb_2(A, B, C, D, E)), k2_groeb_2(A, k3_termord(A, B, C, D), k3_termord(A, B, C, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_groeb_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom7(D, A, C) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom7(E, A, C) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  =>  (r3_pre_poly(A, k3_termord(A, B, C, E), k3_termord(A, B, C, D)) => r8_polyred(A, B, C, k5_polynom7(A, C, D, k4_termord(A, B, C, E)), E, k3_groeb_2(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_groeb_2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  (r1_groeb_1(A, B, C, D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(G, C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  ( (r2_tarski(E, D) &  (r2_tarski(F, D) & r4_rewrite1(k3_polyred(A, B, C, D), k3_groeb_2(A, B, C, E, F), G)) )  => r8_pboole(k15_pre_poly(A), G, k8_polynom1(A, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_groeb_2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  ( (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(G, C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  ( (r2_tarski(E, D) &  (r2_tarski(F, D) & r4_rewrite1(k3_polyred(A, B, C, D), k3_groeb_2(A, B, C, E, F), G)) )  => r8_pboole(k15_pre_poly(A), G, k8_polynom1(A, C))) ) ) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  ( (r2_tarski(E, D) & r2_tarski(F, D))  => r1_rewrite1(k3_polyred(A, B, C, D), k3_groeb_2(A, B, C, E, F), k8_polynom1(A, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_groeb_2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  ( (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  ( (r2_tarski(E, D) & r2_tarski(F, D))  => r1_rewrite1(k3_polyred(A, B, C, D), k3_groeb_2(A, B, C, E, F), k8_polynom1(A, C))) ) ) ) )  =>  (r2_tarski(k8_polynom1(A, C), D) | r1_groeb_1(A, B, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t26_groeb_2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  ( (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (r2_tarski(E, D) =>  (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v3_polynom7(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) ) ) )  =>  (r2_tarski(k8_polynom1(A, C), D) | r1_groeb_1(A, B, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t27_groeb_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m2_ideal_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => m2_ideal_1(k17_finseq_1(u1_struct_0(A), D, C), A, B)) ) ) ) ) ) ) ) ).
fof(t28_groeb_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m2_ideal_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => m2_ideal_1(k2_rfinseq(u1_struct_0(A), D, C), A, B)) ) ) ) ) ) ) ) ).
fof(t29_groeb_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  (m2_ideal_1(D, A, B) =>  (r1_tarski(B, C) => m2_ideal_1(D, A, C)) ) ) ) ) ) ) ) ) ).
fof(d6_groeb_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, B)))))  =>  (! [E] :  (m2_ideal_1(E, k12_polynom1(A, B), D) =>  (r2_groeb_2(A, B, C, D, E) <=>  (k4_rlvect_1(k12_polynom1(A, B), E)=C &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  ~ ( (r2_tarski(F, k4_finseq_1(E)) &  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k15_pre_poly(A), u1_struct_0(B)) &  (v3_polynom7(G, A, B) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(H, B) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  ~ ( (r2_tarski(H, D) & k7_partfun1(u1_struct_0(k12_polynom1(A, B)), E, F)=k10_polynom1(A, B, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_groeb_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, B)))))  =>  (! [F] :  (m2_ideal_1(F, k12_polynom1(A, B), E) =>  (! [G] :  (m2_ideal_1(G, k12_polynom1(A, B), E) =>  ( (r2_groeb_2(A, B, C, E, F) & r2_groeb_2(A, B, D, E, G))  => r2_groeb_2(A, B, k5_polynom1(A, B, C, D), E, k5_groeb_2(A, B, E, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_groeb_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))))  =>  (! [F] :  (m2_ideal_1(F, k12_polynom1(A, C), E) =>  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, A) &  (v1_funct_1(G) &  (v1_partfun1(G, A) &  (v4_valued_0(G) & v2_pre_poly(G)) ) ) ) )  =>  (r3_groeb_2(A, B, C, D, E, F, G) <=>  (k4_rlvect_1(k12_polynom1(A, C), F)=D &  (! [H] :  (m1_subset_1(H, k4_ordinal1) =>  ~ ( (r2_tarski(H, k4_finseq_1(F)) &  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom7(I, A, C) &  (v3_polynom7(I, A, C) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom7(J, A, C) &  (v1_polynom1(J, C) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  =>  ~ ( (r2_tarski(J, E) &  (k7_partfun1(u1_struct_0(k12_polynom1(A, C)), F, H)=k10_polynom1(A, C, I, J) & r1_termord(A, B, k3_termord(A, B, C, k10_polynom1(A, C, I, J)), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_groeb_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))))  =>  (! [F] :  (m2_ideal_1(F, k12_polynom1(A, C), E) =>  (r4_groeb_2(A, B, C, D, E, F) <=> r3_groeb_2(A, B, C, D, E, F, k3_termord(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_groeb_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))))  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) &  (v1_partfun1(F, A) &  (v4_valued_0(F) & v2_pre_poly(F)) ) ) ) )  =>  (r5_groeb_2(A, B, C, D, E, F) <=>  (? [G] :  (m2_ideal_1(G, k12_polynom1(A, C), E) & r3_groeb_2(A, B, C, D, E, G, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_groeb_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))))  =>  (r6_groeb_2(A, B, C, D, E) <=>  (? [F] :  (m2_ideal_1(F, k12_polynom1(A, C), E) & r4_groeb_2(A, B, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_groeb_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))))  =>  (! [F] :  (m2_ideal_1(F, k12_polynom1(A, C), E) =>  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, A) &  (v1_funct_1(G) &  (v1_partfun1(G, A) &  (v4_valued_0(G) & v2_pre_poly(G)) ) ) ) )  =>  (r3_groeb_2(A, B, C, D, E, F, G) => r2_groeb_2(A, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_groeb_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  & m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))))  =>  (! [G] :  (m2_ideal_1(G, k12_polynom1(A, C), F) =>  (! [H] :  (m2_ideal_1(H, k12_polynom1(A, C), F) =>  (! [I] :  ( (v1_relat_1(I) &  (v4_relat_1(I, A) &  (v1_funct_1(I) &  (v1_partfun1(I, A) &  (v4_valued_0(I) & v2_pre_poly(I)) ) ) ) )  =>  ( (r3_groeb_2(A, B, C, D, F, G, I) & r3_groeb_2(A, B, C, E, F, H, I))  => r3_groeb_2(A, B, C, k5_polynom1(A, C, D, E), F, k5_groeb_2(A, C, F, G, H), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_groeb_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  & m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))))  =>  (! [G] :  (m2_ideal_1(G, k12_polynom1(A, C), F) =>  (! [H] :  (m2_ideal_1(H, k12_polynom1(A, C), F) =>  (! [I] :  ( (v1_relat_1(I) &  (v4_relat_1(I, A) &  (v1_funct_1(I) &  (v1_partfun1(I, A) &  (v4_valued_0(I) & v2_pre_poly(I)) ) ) ) )  =>  (! [J] :  (m1_subset_1(J, k4_ordinal1) =>  ( (r3_groeb_2(A, B, C, D, F, G, I) &  (H=k17_finseq_1(u1_struct_0(k12_polynom1(A, C)), J, G) & E=k4_rlvect_1(k12_polynom1(A, C), k2_rfinseq(u1_struct_0(k12_polynom1(A, C)), J, G))) )  => r3_groeb_2(A, B, C, k7_polynom1(A, C, D, E), F, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_groeb_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  & m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))))  =>  (! [G] :  (m2_ideal_1(G, k12_polynom1(A, C), F) =>  (! [H] :  (m2_ideal_1(H, k12_polynom1(A, C), F) =>  (! [I] :  ( (v1_relat_1(I) &  (v4_relat_1(I, A) &  (v1_funct_1(I) &  (v1_partfun1(I, A) &  (v4_valued_0(I) & v2_pre_poly(I)) ) ) ) )  =>  (! [J] :  (m1_subset_1(J, k4_ordinal1) =>  ( (r3_groeb_2(A, B, C, D, F, G, I) &  (H=k2_rfinseq(u1_struct_0(k12_polynom1(A, C)), J, G) &  (E=k4_rlvect_1(k12_polynom1(A, C), k17_finseq_1(u1_struct_0(k12_polynom1(A, C)), J, G)) & r1_xxreal_0(J, k3_finseq_1(G))) ) )  => r3_groeb_2(A, B, C, k7_polynom1(A, C, D, E), F, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_groeb_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom7(D, A, C) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))))  =>  (! [F] :  (m2_ideal_1(F, k12_polynom1(A, C), E) =>  ~ ( (r2_groeb_2(A, C, D, E, F) &  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom7(H, A, C) &  (v3_polynom7(H, A, C) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom7(I, A, C) &  (v1_polynom1(I, C) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  =>  ~ ( (r2_tarski(G, k4_finseq_1(F)) &  (r2_tarski(I, E) &  (k1_funct_1(F, G)=k10_polynom1(A, C, H, I) & r1_termord(A, B, k3_termord(A, B, C, D), k3_termord(A, B, C, k10_polynom1(A, C, H, I)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_groeb_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom7(D, A, C) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))))  =>  (! [F] :  (m2_ideal_1(F, k12_polynom1(A, C), E) =>  ~ ( (r4_groeb_2(A, B, C, D, E, F) &  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom7(H, A, C) &  (v3_polynom7(H, A, C) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom7(I, A, C) &  (v1_polynom1(I, C) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  =>  ~ ( (r2_tarski(I, E) &  (r2_tarski(G, k4_finseq_1(F)) &  (k7_partfun1(u1_struct_0(k12_polynom1(A, C)), F, G)=k10_polynom1(A, C, H, I) & r6_pboole(A, k3_termord(A, B, C, D), k3_termord(A, B, C, k10_polynom1(A, C, H, I)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_groeb_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))))  =>  (r1_rewrite1(k3_polyred(A, B, C, E), D, k8_polynom1(A, C)) => r6_groeb_2(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_groeb_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom7(D, A, C) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))))  =>  (r6_groeb_2(A, B, C, D, E) => r10_polyred(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_groeb_2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))))  =>  (r1_groeb_1(A, B, C, D) <=>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom7(E, A, C) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  =>  (r2_tarski(E, k7_ideal_1(k12_polynom1(A, C), D)) => r6_groeb_2(A, B, C, E, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_groeb_2, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) ) )  =>  (v1_relat_1(k1_groeb_2(A, B, C)) &  (v4_relat_1(k1_groeb_2(A, B, C), A) &  (v1_funct_1(k1_groeb_2(A, B, C)) &  (v1_partfun1(k1_groeb_2(A, B, C), A) &  (v4_valued_0(k1_groeb_2(A, B, C)) & v2_pre_poly(k1_groeb_2(A, B, C))) ) ) ) ) ) ) ).
fof(dt_k2_groeb_2, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) ) )  =>  (v1_relat_1(k2_groeb_2(A, B, C)) &  (v4_relat_1(k2_groeb_2(A, B, C), A) &  (v1_funct_1(k2_groeb_2(A, B, C)) &  (v1_partfun1(k2_groeb_2(A, B, C), A) &  (v4_valued_0(k2_groeb_2(A, B, C)) & v2_pre_poly(k2_groeb_2(A, B, C))) ) ) ) ) ) ) ).
fof(commutativity_k2_groeb_2, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) ) )  => k2_groeb_2(A, B, C)=k2_groeb_2(A, C, B)) ) ).
fof(idempotence_k2_groeb_2, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) ) )  => k2_groeb_2(A, B, B)=B) ) ).
fof(dt_k3_groeb_2, axiom,  (! [A, B, C, D, E] :  ( (v3_ordinal1(A) &  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  &  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  &  (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) ) ) ) )  =>  (v1_funct_1(k3_groeb_2(A, B, C, D, E)) &  (v1_funct_2(k3_groeb_2(A, B, C, D, E), k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(k3_groeb_2(A, B, C, D, E), C) & m1_subset_1(k3_groeb_2(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) ) ) ).
fof(dt_k4_groeb_2, axiom,  (! [A, B, C, D] :  ( (v3_ordinal1(A) &  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  &  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C))))) ) )  => m1_subset_1(k4_groeb_2(A, B, C, D), k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C))))) ) ).
fof(dt_k5_groeb_2, axiom,  (! [A, B, C, D, E] :  ( (v3_ordinal1(A) &  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, B)))))  &  (m2_ideal_1(D, k12_polynom1(A, B), C) & m2_ideal_1(E, k12_polynom1(A, B), C)) ) ) )  => m2_ideal_1(k5_groeb_2(A, B, C, D, E), k12_polynom1(A, B), C)) ) ).
fof(redefinition_k5_groeb_2, axiom,  (! [A, B, C, D, E] :  ( (v3_ordinal1(A) &  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, B)))))  &  (m2_ideal_1(D, k12_polynom1(A, B), C) & m2_ideal_1(E, k12_polynom1(A, B), C)) ) ) )  => k5_groeb_2(A, B, C, D, E)=k7_finseq_1(D, E)) ) ).
fof(d5_groeb_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) => k4_groeb_2(A, B, C, D)=a_4_0_groeb_2(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t30_groeb_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, B)))))  =>  (! [E] :  (m2_ideal_1(E, k12_polynom1(A, B), D) =>  (r2_groeb_2(A, B, C, D, E) => r1_tarski(k3_polynom1(k15_pre_poly(A), B, C), k3_tarski(a_4_1_groeb_2(A, B, D, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_groeb_2, axiom,  (! [A, B, C, D, E] :  ( (v3_ordinal1(B) &  ( (v1_partfun1(C, k15_pre_poly(B)) &  (v1_relat_2(C) &  (v4_relat_2(C) &  (v6_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B), k15_pre_poly(B))))) ) ) ) )  &  ( ( ~ (v7_struct_0(D))  &  (v13_algstr_0(D) &  (v33_algstr_0(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v3_group_1(D) &  (v5_group_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) ) )  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k12_polynom1(B, D))))) ) )  =>  (r2_hidden(A, a_4_0_groeb_2(B, C, D, E)) <=>  (? [F, G] :  ( ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(B), u1_struct_0(D)) &  (v1_polynom1(F, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B), u1_struct_0(D))))) ) )  &  (v1_funct_1(G) &  (v1_funct_2(G, k15_pre_poly(B), u1_struct_0(D)) &  (v1_polynom1(G, D) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B), u1_struct_0(D))))) ) ) )  &  (A=k3_groeb_2(B, C, D, F, G) &  (r2_tarski(F, E) & r2_tarski(G, E)) ) ) ) ) ) ) ).
fof(fraenkel_a_4_1_groeb_2, axiom,  (! [A, B, C, D, E] :  ( (v3_ordinal1(B) &  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(B, C)))))  & m2_ideal_1(E, k12_polynom1(B, C), D)) ) )  =>  (r2_hidden(A, a_4_1_groeb_2(B, C, D, E)) <=>  (? [F, G] :  ( ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(B), u1_struct_0(C)) &  (v3_polynom7(F, B, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B), u1_struct_0(C))))) ) )  &  (v1_funct_1(G) &  (v1_funct_2(G, k15_pre_poly(B), u1_struct_0(C)) &  (v1_polynom1(G, C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B), u1_struct_0(C))))) ) ) )  &  (A=k3_polynom1(k15_pre_poly(B), C, k10_polynom1(B, C, F, G)) &  (? [H] :  (m1_subset_1(H, k4_ordinal1) &  (r2_tarski(H, k4_finseq_1(E)) & k7_partfun1(u1_struct_0(k12_polynom1(B, C)), E, H)=k10_polynom1(B, C, F, G)) ) ) ) ) ) ) ) ) ).
fof(fc1_groeb_3, axiom,  (! [A, B, C] :  ( (v3_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) ) )  => v1_finset_1(k2_polynom1(B, C))) ) ).
fof(fc2_groeb_3, axiom,  (! [A, B, C, D] :  ( (v3_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  & m1_subset_1(D, k1_zfmisc_1(k15_pre_poly(A)))) ) )  =>  (v1_funct_1(k2_groeb_3(A, B, C, D)) &  (v1_funct_2(k2_groeb_3(A, B, C, D), k15_pre_poly(A), u1_struct_0(B)) & v1_polynom1(k2_groeb_3(A, B, C, D), B)) ) ) ) ).
fof(fc3_groeb_3, axiom,  (! [A, B, C, D] :  ( (v3_ordinal1(A) &  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  &  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) &  (v1_polynom7(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) ) ) ) )  =>  (v1_funct_1(k5_groeb_3(A, B, C, D, k5_numbers)) &  (v1_funct_2(k5_groeb_3(A, B, C, D, k5_numbers), k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(k5_groeb_3(A, B, C, D, k5_numbers), C) & v3_polynom7(k5_groeb_3(A, B, C, D, k5_numbers), A, C)) ) ) ) ) ).
fof(fc4_groeb_3, axiom,  (! [A, B, C, D] :  ( (v3_ordinal1(A) &  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  &  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) &  (v1_polynom7(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) ) ) ) )  =>  (v1_funct_1(k5_groeb_3(A, B, C, D, 1)) &  (v1_funct_2(k5_groeb_3(A, B, C, D, 1), k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(k5_groeb_3(A, B, C, D, 1), C) &  (v1_polynom7(k5_groeb_3(A, B, C, D, 1), A, C) & v3_polynom7(k5_groeb_3(A, B, C, D, 1), A, C)) ) ) ) ) ) ).
fof(fc5_groeb_3, axiom,  (! [A, B, C, D] :  ( (v3_ordinal1(A) &  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  &  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) &  (v1_polynom7(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) ) ) ) )  =>  (v1_funct_1(k6_groeb_3(A, B, C, D, k4_card_1(k3_polynom1(k15_pre_poly(A), C, D)))) &  (v1_funct_2(k6_groeb_3(A, B, C, D, k4_card_1(k3_polynom1(k15_pre_poly(A), C, D))), k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(k6_groeb_3(A, B, C, D, k4_card_1(k3_polynom1(k15_pre_poly(A), C, D))), C) & v3_polynom7(k6_groeb_3(A, B, C, D, k4_card_1(k3_polynom1(k15_pre_poly(A), C, D))), A, C)) ) ) ) ) ).
fof(t1_groeb_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  => k1_groeb_2(A, k11_pre_poly(A, B, C), C)=B) ) ) ) ) ).
fof(t2_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) )  =>  (r1_termord(A, B, C, D) => r1_termord(A, B, k11_pre_poly(A, C, E), k11_pre_poly(A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) )  =>  ( (r1_termord(A, B, C, D) & r2_termord(A, B, D, E))  => r2_termord(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) )  =>  (r2_termord(A, B, C, D) => r2_termord(A, B, k11_pre_poly(A, C, E), k11_pre_poly(A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) &  (v1_partfun1(F, A) &  (v4_valued_0(F) & v2_pre_poly(F)) ) ) ) )  =>  ( (r2_termord(A, B, C, D) & r1_termord(A, B, E, F))  => r2_termord(A, B, k11_pre_poly(A, C, E), k11_pre_poly(A, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) &  (v1_partfun1(F, A) &  (v4_valued_0(F) & v2_pre_poly(F)) ) ) ) )  =>  ( (r1_termord(A, B, C, D) & r2_termord(A, B, E, F))  => r2_termord(A, B, k11_pre_poly(A, C, E), k11_pre_poly(A, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_vectsp_2(B) & l6_algstr_0(B)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom7(C, A, B) &  (v3_polynom7(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom7(D, A, B) &  (v3_polynom7(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) )  => k2_polynom7(A, B, k10_polynom1(A, B, C, D))=k11_pre_poly(A, k2_polynom7(A, B, C), k2_polynom7(A, B, D))) ) ) ) ) ) ) ) ).
fof(t8_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_vectsp_2(B) & l6_algstr_0(B)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom7(D, A, B) &  (v3_polynom7(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) )  =>  (r2_tarski(E, k3_polynom1(k15_pre_poly(A), B, C)) <=> r2_tarski(k11_pre_poly(A, k2_polynom7(A, B, D), E), k3_polynom1(k15_pre_poly(A), B, k10_polynom1(A, B, D, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_vectsp_2(B) &  (v1_algstr_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom7(D, A, B) &  (v3_polynom7(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) )  => k4_card_1(k3_polynom1(k15_pre_poly(A), B, C))=k4_card_1(k3_polynom1(k15_pre_poly(A), B, k10_polynom1(A, B, D, C)))) ) ) ) ) ) ) ) ).
fof(t11_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  => r2_funct_2(k15_pre_poly(A), u1_struct_0(C), k6_termord(A, B, C, k8_polynom1(A, C)), k8_polynom1(A, C))) ) ) ) ) ) ).
fof(t12_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (r2_funct_2(k15_pre_poly(A), u1_struct_0(B), k7_polynom1(A, B, C, D), k8_polynom1(A, B)) => r2_funct_2(k15_pre_poly(A), u1_struct_0(B), C, D)) ) ) ) ) ) ) ) ) ).
fof(t13_groeb_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  => r2_funct_2(k15_pre_poly(A), u1_struct_0(B), k5_vfunct_1(k15_pre_poly(A), B, k8_polynom1(A, B)), k8_polynom1(A, B))) ) ) ).
fof(t14_groeb_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  => r2_funct_2(k15_pre_poly(A), u1_struct_0(B), k7_polynom1(A, B, k8_polynom1(A, B), C), k5_vfunct_1(k15_pre_poly(A), B, C))) ) ) ) ) ).
fof(t15_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  => r2_funct_2(k15_pre_poly(A), u1_struct_0(C), k7_polynom1(A, C, D, k6_termord(A, B, C, D)), k5_termord(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(d1_groeb_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k15_pre_poly(A))) => k2_groeb_3(A, B, C, D)=k1_funct_4(C, k8_funcop_1(u1_struct_0(B), k4_xboole_0(k3_polynom1(k15_pre_poly(A), B, C), D), k4_struct_0(B)))) ) ) ) ) ) ) ).
fof(t16_groeb_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k15_pre_poly(A))) =>  (k3_polynom1(k15_pre_poly(A), B, k2_groeb_3(A, B, C, D))=k3_xboole_0(k3_polynom1(k15_pre_poly(A), B, C), D) &  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) )  =>  (r2_tarski(E, k3_polynom1(k15_pre_poly(A), B, k2_groeb_3(A, B, C, D))) => k4_polynom1(A, B, k2_groeb_3(A, B, C, D), E)=k4_polynom1(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_groeb_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k15_pre_poly(A))) => r1_tarski(k3_polynom1(k15_pre_poly(A), B, k2_groeb_3(A, B, C, D)), k3_polynom1(k15_pre_poly(A), B, C))) ) ) ) ) ) ) ).
fof(t18_groeb_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (r2_funct_2(k15_pre_poly(A), u1_struct_0(B), k2_groeb_3(A, B, C, k3_polynom1(k15_pre_poly(A), B, C)), C) & r2_funct_2(k15_pre_poly(A), u1_struct_0(B), k2_groeb_3(A, B, C, k1_subset_1(k15_pre_poly(A))), k8_polynom1(A, B))) ) ) ) ) ) ).
fof(d2_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(E, k4_card_1(k3_polynom1(k15_pre_poly(A), C, D))) =>  (! [F] :  ( (v1_finset_1(F) & m1_subset_1(F, k1_zfmisc_1(k15_pre_poly(A))))  =>  (F=k3_groeb_3(A, B, C, D, E) <=>  (r1_tarski(F, k3_polynom1(k15_pre_poly(A), C, D)) &  (k4_card_1(F)=E &  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, A) &  (v1_funct_1(G) &  (v1_partfun1(G, A) &  (v4_valued_0(G) & v2_pre_poly(G)) ) ) ) )  =>  (! [H] :  ( (v1_relat_1(H) &  (v4_relat_1(H, A) &  (v1_funct_1(H) &  (v1_partfun1(H, A) &  (v4_valued_0(H) & v2_pre_poly(H)) ) ) ) )  =>  ( (r2_tarski(G, F) &  (r2_tarski(H, k3_polynom1(k15_pre_poly(A), C, D)) & r1_termord(A, B, G, H)) )  => r2_tarski(H, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  (v7_ordinal1(E) => k4_groeb_3(A, B, C, D, E)=k4_xboole_0(k3_polynom1(k15_pre_poly(A), C, D), k3_groeb_3(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t19_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r1_xxreal_0(E, k4_card_1(k3_polynom1(k15_pre_poly(A), C, D))) =>  (k2_xboole_0(k3_groeb_3(A, B, C, D, E), k4_groeb_3(A, B, C, D, E))=k3_polynom1(k15_pre_poly(A), C, D) & k3_xboole_0(k3_groeb_3(A, B, C, D, E), k4_groeb_3(A, B, C, D, E))=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r1_xxreal_0(E, k4_card_1(k3_polynom1(k15_pre_poly(A), C, D))) =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) &  (v1_partfun1(F, A) &  (v4_valued_0(F) & v2_pre_poly(F)) ) ) ) )  =>  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, A) &  (v1_funct_1(G) &  (v1_partfun1(G, A) &  (v4_valued_0(G) & v2_pre_poly(G)) ) ) ) )  =>  ( (r2_tarski(F, k3_groeb_3(A, B, C, D, E)) & r2_tarski(G, k4_groeb_3(A, B, C, D, E)))  => r2_termord(A, B, G, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (k3_groeb_3(A, B, C, D, k5_numbers)=k1_xboole_0 & k4_groeb_3(A, B, C, D, k5_numbers)=k3_polynom1(k15_pre_poly(A), C, D)) ) ) ) ) ) ) ) ) ).
fof(t22_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (k3_groeb_3(A, B, C, D, k4_card_1(k3_polynom1(k15_pre_poly(A), C, D)))=k3_polynom1(k15_pre_poly(A), C, D) & k4_groeb_3(A, B, C, D, k4_card_1(k3_polynom1(k15_pre_poly(A), C, D)))=k1_xboole_0) ) ) ) ) ) ) ) ) ).
fof(t23_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) &  (v1_polynom7(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, k4_card_1(k3_polynom1(k15_pre_poly(A), C, D))))  => r2_tarski(k3_termord(A, B, C, D), k3_groeb_3(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r1_xxreal_0(E, k4_card_1(k3_polynom1(k15_pre_poly(A), C, D))) =>  (r1_tarski(k4_groeb_3(A, B, C, D, E), k3_polynom1(k15_pre_poly(A), C, D)) &  (k4_card_1(k4_groeb_3(A, B, C, D, E))=k6_xcmplx_0(k4_card_1(k3_polynom1(k15_pre_poly(A), C, D)), E) &  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) &  (v1_partfun1(F, A) &  (v4_valued_0(F) & v2_pre_poly(F)) ) ) ) )  =>  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, A) &  (v1_funct_1(G) &  (v1_partfun1(G, A) &  (v4_valued_0(G) & v2_pre_poly(G)) ) ) ) )  =>  ( (r2_tarski(F, k4_groeb_3(A, B, C, D, E)) &  (r2_tarski(G, k3_polynom1(k15_pre_poly(A), C, D)) & r1_termord(A, B, G, F)) )  => r2_tarski(G, k4_groeb_3(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  (v7_ordinal1(E) => k5_groeb_3(A, B, C, D, E)=k2_groeb_3(A, C, D, k3_groeb_3(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(d5_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  (v7_ordinal1(E) => k6_groeb_3(A, B, C, D, E)=k2_groeb_3(A, C, D, k4_groeb_3(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t25_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r1_xxreal_0(E, k4_card_1(k3_polynom1(k15_pre_poly(A), C, D))) =>  (k3_polynom1(k15_pre_poly(A), C, k5_groeb_3(A, B, C, D, E))=k3_groeb_3(A, B, C, D, E) & k3_polynom1(k15_pre_poly(A), C, k6_groeb_3(A, B, C, D, E))=k4_groeb_3(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r1_xxreal_0(E, k4_card_1(k3_polynom1(k15_pre_poly(A), C, D))) =>  (r1_tarski(k3_polynom1(k15_pre_poly(A), C, k5_groeb_3(A, B, C, D, E)), k3_polynom1(k15_pre_poly(A), C, D)) & r1_tarski(k3_polynom1(k15_pre_poly(A), C, k6_groeb_3(A, B, C, D, E)), k3_polynom1(k15_pre_poly(A), C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, k4_card_1(k3_polynom1(k15_pre_poly(A), C, D))))  => r1_tarski(k3_polynom1(k15_pre_poly(A), C, k6_groeb_3(A, B, C, D, E)), k3_polynom1(k15_pre_poly(A), C, k6_termord(A, B, C, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r1_xxreal_0(E, k4_card_1(k3_polynom1(k15_pre_poly(A), C, D))) =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) &  (v1_partfun1(F, A) &  (v4_valued_0(F) & v2_pre_poly(F)) ) ) ) )  =>  (r2_tarski(F, k3_polynom1(k15_pre_poly(A), C, D)) =>  ( (r2_tarski(F, k3_polynom1(k15_pre_poly(A), C, k5_groeb_3(A, B, C, D, E))) | r2_tarski(F, k3_polynom1(k15_pre_poly(A), C, k6_groeb_3(A, B, C, D, E))))  &  ~ (r2_tarski(F, k3_xboole_0(k3_polynom1(k15_pre_poly(A), C, k5_groeb_3(A, B, C, D, E)), k3_polynom1(k15_pre_poly(A), C, k6_groeb_3(A, B, C, D, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r1_xxreal_0(E, k4_card_1(k3_polynom1(k15_pre_poly(A), C, D))) =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) &  (v1_partfun1(F, A) &  (v4_valued_0(F) & v2_pre_poly(F)) ) ) ) )  =>  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, A) &  (v1_funct_1(G) &  (v1_partfun1(G, A) &  (v4_valued_0(G) & v2_pre_poly(G)) ) ) ) )  =>  ( (r2_tarski(F, k3_polynom1(k15_pre_poly(A), C, k6_groeb_3(A, B, C, D, E))) & r2_tarski(G, k3_polynom1(k15_pre_poly(A), C, k5_groeb_3(A, B, C, D, E))))  => r2_termord(A, B, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, k4_card_1(k3_polynom1(k15_pre_poly(A), C, D))))  => r2_tarski(k3_termord(A, B, C, D), k3_polynom1(k15_pre_poly(A), C, k5_groeb_3(A, B, C, D, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r1_xxreal_0(E, k4_card_1(k3_polynom1(k15_pre_poly(A), C, D))) =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) &  (v1_partfun1(F, A) &  (v4_valued_0(F) & v2_pre_poly(F)) ) ) ) )  =>  (r2_tarski(F, k3_polynom1(k15_pre_poly(A), C, k6_groeb_3(A, B, C, D, E))) =>  (k4_polynom1(A, C, k6_groeb_3(A, B, C, D, E), F)=k4_polynom1(A, C, D, F) & k4_polynom1(A, C, k5_groeb_3(A, B, C, D, E), F)=k4_struct_0(C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r1_xxreal_0(E, k4_card_1(k3_polynom1(k15_pre_poly(A), C, D))) =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) &  (v1_partfun1(F, A) &  (v4_valued_0(F) & v2_pre_poly(F)) ) ) ) )  =>  (r2_tarski(F, k3_polynom1(k15_pre_poly(A), C, k5_groeb_3(A, B, C, D, E))) =>  (k4_polynom1(A, C, k5_groeb_3(A, B, C, D, E), F)=k4_polynom1(A, C, D, F) & k4_polynom1(A, C, k6_groeb_3(A, B, C, D, E), F)=k4_struct_0(C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r1_xxreal_0(E, k4_card_1(k3_polynom1(k15_pre_poly(A), C, D))) => r2_funct_2(k15_pre_poly(A), u1_struct_0(C), k5_polynom1(A, C, k5_groeb_3(A, B, C, D, E), k6_groeb_3(A, B, C, D, E)), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (r2_funct_2(k15_pre_poly(A), u1_struct_0(C), k5_groeb_3(A, B, C, D, k5_numbers), k8_polynom1(A, C)) & r2_funct_2(k15_pre_poly(A), u1_struct_0(C), k6_groeb_3(A, B, C, D, k5_numbers), D)) ) ) ) ) ) ) ) ) ).
fof(t35_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (r2_funct_2(k15_pre_poly(A), u1_struct_0(C), k5_groeb_3(A, B, C, D, k4_card_1(k3_polynom1(k15_pre_poly(A), C, D))), D) & r2_funct_2(k15_pre_poly(A), u1_struct_0(C), k6_groeb_3(A, B, C, D, k4_card_1(k3_polynom1(k15_pre_poly(A), C, D))), k8_polynom1(A, C))) ) ) ) ) ) ) ) ) ).
fof(t36_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) &  (v1_polynom7(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  =>  (r2_funct_2(k15_pre_poly(A), u1_struct_0(C), k5_groeb_3(A, B, C, D, 1), k5_termord(A, B, C, D)) & r2_funct_2(k15_pre_poly(A), u1_struct_0(C), k6_groeb_3(A, B, C, D, 1), k6_termord(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t37_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (E=k6_xcmplx_0(k4_card_1(k3_polynom1(k15_pre_poly(A), C, D)), 1) =>  (v1_funct_1(k6_groeb_3(A, B, C, D, E)) &  (v1_funct_2(k6_groeb_3(A, B, C, D, E), k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom7(k6_groeb_3(A, B, C, D, E), A, C) &  (v3_polynom7(k6_groeb_3(A, B, C, D, E), A, C) & m1_subset_1(k6_groeb_3(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( ~ (r1_xxreal_0(k4_card_1(k3_polynom1(k15_pre_poly(A), C, D)), E))  => r1_termord(A, B, k3_termord(A, B, C, k6_groeb_3(A, B, C, D, k1_nat_1(E, 1))), k3_termord(A, B, C, k6_groeb_3(A, B, C, D, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  ( ~ (r1_xxreal_0(k4_card_1(k3_polynom1(k15_pre_poly(A), C, D)), E))  &  ~ (r2_termord(A, B, k3_termord(A, B, C, k6_groeb_3(A, B, C, D, E)), k3_termord(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_vectsp_2(C) & l6_algstr_0(C)) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom7(E, A, C) &  (v3_polynom7(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r1_xxreal_0(F, k4_card_1(k3_polynom1(k15_pre_poly(A), C, D))) =>  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, A) &  (v1_funct_1(G) &  (v1_partfun1(G, A) &  (v4_valued_0(G) & v2_pre_poly(G)) ) ) ) )  =>  (r2_tarski(k11_pre_poly(A, k2_polynom7(A, C, E), G), k3_polynom1(k15_pre_poly(A), C, k6_groeb_3(A, B, C, k10_polynom1(A, C, E, D), F))) <=> r2_tarski(G, k3_polynom1(k15_pre_poly(A), C, k6_groeb_3(A, B, C, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( ~ (r1_xxreal_0(k4_card_1(k3_polynom1(k15_pre_poly(A), C, D)), E))  => r1_tarski(k3_polynom1(k15_pre_poly(A), C, k6_groeb_3(A, B, C, D, k1_nat_1(E, 1))), k3_polynom1(k15_pre_poly(A), C, k6_groeb_3(A, B, C, D, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( ~ (r1_xxreal_0(k4_card_1(k3_polynom1(k15_pre_poly(A), C, D)), E))  => k4_xboole_0(k3_polynom1(k15_pre_poly(A), C, k6_groeb_3(A, B, C, D, E)), k3_polynom1(k15_pre_poly(A), C, k6_groeb_3(A, B, C, D, k1_nat_1(E, 1))))=k1_tarski(k3_termord(A, B, C, k6_groeb_3(A, B, C, D, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( ~ (r1_xxreal_0(k4_card_1(k3_polynom1(k15_pre_poly(A), C, D)), E))  => r2_funct_2(k15_pre_poly(A), u1_struct_0(C), k6_groeb_3(A, B, C, D, k1_nat_1(E, 1)), k6_termord(A, B, C, k6_groeb_3(A, B, C, D, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_vectsp_2(C) & l6_algstr_0(C)) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom7(E, A, C) &  (v3_polynom7(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r1_xxreal_0(F, k4_card_1(k3_polynom1(k15_pre_poly(A), C, D))) => r2_funct_2(k15_pre_poly(A), u1_struct_0(C), k6_groeb_3(A, B, C, k10_polynom1(A, C, E, D), F), k10_polynom1(A, C, E, k6_groeb_3(A, B, C, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (r4_polyred(A, B, C, D, F, E) => r4_polyred(A, B, C, k5_vfunct_1(k15_pre_poly(A), C, D), F, k5_vfunct_1(k15_pre_poly(A), C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(G, C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  ( (r5_polyred(A, B, C, D, E, k1_groeb_1(A, C, G)) &  (! [H] :  ( (v1_relat_1(H) &  (v4_relat_1(H, A) &  (v1_funct_1(H) &  (v1_partfun1(H, A) &  (v4_valued_0(H) & v2_pre_poly(H)) ) ) ) )  =>  ~ ( (r2_tarski(H, k3_polynom1(k15_pre_poly(A), C, F)) & r3_pre_poly(A, k3_termord(A, B, C, G), H)) ) ) ) )  => r5_polyred(A, B, C, k6_polynom1(A, C, D, F), k6_polynom1(A, C, E, F), k1_groeb_1(A, C, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) &  (v1_polynom7(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) &  (v1_polynom7(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  => r5_polyred(A, B, C, k11_polynom1(A, C, D, E), k11_polynom1(A, C, k6_termord(A, B, C, D), E), k1_groeb_1(A, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t48_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) &  (v1_polynom7(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) &  (v1_polynom7(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (k4_polynom1(A, C, F, k3_termord(A, B, C, k11_polynom1(A, C, D, E)))=k4_struct_0(C) => r5_polyred(A, B, C, k6_polynom1(A, C, k11_polynom1(A, C, D, E), F), k6_polynom1(A, C, k11_polynom1(A, C, k6_termord(A, B, C, D), E), F), k1_groeb_1(A, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (r1_rewrite1(k3_polyred(A, B, C, D), E, F) => r1_rewrite1(k3_polyred(A, B, C, D), k5_vfunct_1(k15_pre_poly(A), C, E), k5_vfunct_1(k15_pre_poly(A), C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(G, C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  ( (r1_rewrite1(k3_polyred(A, B, C, k1_groeb_1(A, C, G)), D, E) &  (! [H] :  ( (v1_relat_1(H) &  (v4_relat_1(H, A) &  (v1_funct_1(H) &  (v1_partfun1(H, A) &  (v4_valued_0(H) & v2_pre_poly(H)) ) ) ) )  =>  ~ ( (r2_tarski(H, k3_polynom1(k15_pre_poly(A), C, F)) & r3_pre_poly(A, k3_termord(A, B, C, G), H)) ) ) ) )  => r1_rewrite1(k3_polyred(A, B, C, k1_groeb_1(A, C, G)), k6_polynom1(A, C, D, F), k6_polynom1(A, C, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) &  (v1_polynom7(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) &  (v1_polynom7(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  => r1_rewrite1(k3_polyred(A, B, C, k1_groeb_1(A, C, E)), k11_polynom1(A, C, D, E), k8_polynom1(A, C))) ) ) ) ) ) ) ) ) ) ).
fof(t52_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (r1_groeb_2(A, k3_termord(A, B, C, D), k3_termord(A, B, C, E)) =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) &  (v1_partfun1(F, A) &  (v4_valued_0(F) & v2_pre_poly(F)) ) ) ) )  =>  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, A) &  (v1_funct_1(G) &  (v1_partfun1(G, A) &  (v4_valued_0(G) & v2_pre_poly(G)) ) ) ) )  =>  ~ ( (r2_tarski(F, k3_polynom1(k15_pre_poly(A), C, k6_termord(A, B, C, D))) &  (r2_tarski(G, k3_polynom1(k15_pre_poly(A), C, k6_termord(A, B, C, E))) & k11_pre_poly(A, k3_termord(A, B, C, D), G)=k11_pre_poly(A, k3_termord(A, B, C, E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (r1_groeb_2(A, k3_termord(A, B, C, D), k3_termord(A, B, C, E)) => r2_funct_2(k15_pre_poly(A), u1_struct_0(C), k3_groeb_2(A, B, C, D, E), k7_polynom1(A, C, k11_polynom1(A, C, k5_termord(A, B, C, E), k6_termord(A, B, C, D)), k11_polynom1(A, C, k5_termord(A, B, C, D), k6_termord(A, B, C, E))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (r1_groeb_2(A, k3_termord(A, B, C, D), k3_termord(A, B, C, E)) => r2_funct_2(k15_pre_poly(A), u1_struct_0(C), k3_groeb_2(A, B, C, D, E), k7_polynom1(A, C, k11_polynom1(A, C, k6_termord(A, B, C, D), E), k11_polynom1(A, C, k6_termord(A, B, C, E), D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) &  (v1_polynom7(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) &  (v1_polynom7(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  =>  ( (r1_groeb_2(A, k3_termord(A, B, C, D), k3_termord(A, B, C, E)) &  (v1_polynom7(k6_termord(A, B, C, D), A, C) & v1_polynom7(k6_termord(A, B, C, E), A, C)) )  => r1_rewrite1(k3_polyred(A, B, C, k1_groeb_1(A, C, D)), k7_polynom1(A, C, k11_polynom1(A, C, k5_termord(A, B, C, E), k6_termord(A, B, C, D)), k11_polynom1(A, C, k5_termord(A, B, C, D), k6_termord(A, B, C, E))), k11_polynom1(A, C, E, k6_termord(A, B, C, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (r1_groeb_2(A, k3_termord(A, B, C, D), k3_termord(A, B, C, E)) => r1_rewrite1(k3_polyred(A, B, C, k1_groeb_3(A, C, D, E)), k3_groeb_2(A, B, C, D, E), k8_polynom1(A, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_groeb_3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  (r1_groeb_1(A, B, C, D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  ( (r2_tarski(E, D) & r2_tarski(F, D))  =>  (r1_groeb_2(A, k3_termord(A, B, C, E), k3_termord(A, B, C, F)) | r1_rewrite1(k3_polyred(A, B, C, D), k3_groeb_2(A, B, C, E, F), k8_polynom1(A, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_groeb_3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v6_struct_0(C))  &  ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  ( (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  ( (r2_tarski(E, D) & r2_tarski(F, D))  =>  (r1_groeb_2(A, k3_termord(A, B, C, E), k3_termord(A, B, C, F)) | r1_rewrite1(k3_polyred(A, B, C, D), k3_groeb_2(A, B, C, E, F), k8_polynom1(A, C))) ) ) ) ) )  =>  (r2_tarski(k8_polynom1(A, C), D) |  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(G, C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  ( (r2_tarski(E, D) &  (r2_tarski(F, D) & r4_rewrite1(k3_polyred(A, B, C, D), k3_groeb_2(A, B, C, E, F), G)) )  =>  (r1_groeb_2(A, k3_termord(A, B, C, E), k3_termord(A, B, C, F)) | r2_funct_2(k15_pre_poly(A), u1_struct_0(C), G, k8_polynom1(A, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_groeb_3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  ( (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(G, C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  ( (r2_tarski(E, D) &  (r2_tarski(F, D) & r4_rewrite1(k3_polyred(A, B, C, D), k3_groeb_2(A, B, C, E, F), G)) )  =>  (r1_groeb_2(A, k3_termord(A, B, C, E), k3_termord(A, B, C, F)) | r2_funct_2(k15_pre_poly(A), u1_struct_0(C), G, k8_polynom1(A, C))) ) ) ) ) ) ) )  =>  (r2_tarski(k8_polynom1(A, C), D) | r1_groeb_1(A, B, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_groeb_3, axiom,  (! [A, B, C, D] :  ( (v3_ordinal1(A) &  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) ) ) )  => m1_subset_1(k1_groeb_3(A, B, C, D), k1_zfmisc_1(u1_struct_0(k12_polynom1(A, B))))) ) ).
fof(commutativity_k1_groeb_3, axiom,  (! [A, B, C, D] :  ( (v3_ordinal1(A) &  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) ) ) )  => k1_groeb_3(A, B, C, D)=k1_groeb_3(A, B, D, C)) ) ).
fof(redefinition_k1_groeb_3, axiom,  (! [A, B, C, D] :  ( (v3_ordinal1(A) &  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) ) ) )  => k1_groeb_3(A, B, C, D)=k2_tarski(C, D)) ) ).
fof(dt_k2_groeb_3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  & m1_subset_1(D, k1_zfmisc_1(k15_pre_poly(A)))) )  =>  (v1_funct_1(k2_groeb_3(A, B, C, D)) &  (v1_funct_2(k2_groeb_3(A, B, C, D), k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(k2_groeb_3(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) ) ).
fof(dt_k3_groeb_3, axiom,  (! [A, B, C, D, E] :  ( (v3_ordinal1(A) &  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  & v7_ordinal1(E)) ) ) )  =>  (v1_finset_1(k3_groeb_3(A, B, C, D, E)) & m1_subset_1(k3_groeb_3(A, B, C, D, E), k1_zfmisc_1(k15_pre_poly(A)))) ) ) ).
fof(dt_k4_groeb_3, axiom,  (! [A, B, C, D, E] :  ( (v3_ordinal1(A) &  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  & v7_ordinal1(E)) ) ) )  =>  (v1_finset_1(k4_groeb_3(A, B, C, D, E)) & m1_subset_1(k4_groeb_3(A, B, C, D, E), k1_zfmisc_1(k15_pre_poly(A)))) ) ) ).
fof(dt_k5_groeb_3, axiom,  (! [A, B, C, D, E] :  ( (v3_ordinal1(A) &  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  & v7_ordinal1(E)) ) ) )  =>  (v1_funct_1(k5_groeb_3(A, B, C, D, E)) &  (v1_funct_2(k5_groeb_3(A, B, C, D, E), k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(k5_groeb_3(A, B, C, D, E), C) & m1_subset_1(k5_groeb_3(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) ) ) ).
fof(dt_k6_groeb_3, axiom,  (! [A, B, C, D, E] :  ( (v3_ordinal1(A) &  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  & v7_ordinal1(E)) ) ) )  =>  (v1_funct_1(k6_groeb_3(A, B, C, D, E)) &  (v1_funct_2(k6_groeb_3(A, B, C, D, E), k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(k6_groeb_3(A, B, C, D, E), C) & m1_subset_1(k6_groeb_3(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) ) ) ).
fof(t9_groeb_3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_vectsp_2(B) & l6_algstr_0(B)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom7(D, A, B) &  (v3_polynom7(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) )  => k3_polynom1(k15_pre_poly(A), B, k10_polynom1(A, B, D, C))=a_4_0_groeb_3(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_groeb_3, axiom,  (! [A, B, C, D, E] :  ( (v3_ordinal1(B) &  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_vectsp_2(C) & l6_algstr_0(C)) ) ) ) ) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(B), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B), u1_struct_0(C))))) ) )  &  (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(B), u1_struct_0(C)) &  (v1_polynom7(E, B, C) &  (v3_polynom7(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B), u1_struct_0(C))))) ) ) ) ) ) )  =>  (r2_hidden(A, a_4_0_groeb_3(B, C, D, E)) <=>  (? [F] :  (m2_subset_1(F, k14_pre_poly(B), k15_pre_poly(B)) &  (A=k11_pre_poly(B, k2_polynom7(B, C, E), F) & r2_tarski(F, k3_polynom1(k15_pre_poly(B), C, D))) ) ) ) ) ) ).
fof(cc1_group_1, axiom,  (! [A] :  (l3_algstr_0(A) =>  (v2_group_1(A) => v1_group_1(A)) ) ) ).
fof(rc1_group_1, axiom,  (? [A] :  (l3_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) & v3_group_1(A)) ) ) ) ) ).
fof(fc1_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_group_1(A) & l3_algstr_0(A)) )  =>  (v1_funct_1(u2_algstr_0(A)) &  (v1_funct_2(u2_algstr_0(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & v2_binop_1(u2_algstr_0(A), u1_struct_0(A))) ) ) ) ).
fof(fc2_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  =>  (v1_funct_1(u2_algstr_0(A)) &  (v1_funct_2(u2_algstr_0(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & v1_setwiseo(u2_algstr_0(A), u1_struct_0(A))) ) ) ) ).
fof(fc3_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (v1_funct_1(u2_algstr_0(A)) &  (v1_funct_2(u2_algstr_0(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & v1_finseqop(u2_algstr_0(A), u1_struct_0(A))) ) ) ) ).
fof(fc4_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  ~ (v4_group_1(k1_group_1(A), A)) ) ) ).
fof(rc2_group_1, axiom,  (? [A] :  (l3_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v1_group_1(A) &  (v2_group_1(A) &  (v3_group_1(A) & v5_group_1(A)) ) ) ) ) ) ) ).
fof(d1_group_1, axiom,  (! [A] :  (l3_algstr_0(A) =>  (v1_group_1(A) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k6_algstr_0(A, C, B)=C & k6_algstr_0(A, B, C)=C) ) ) ) ) ) ) ) ).
fof(d2_group_1, axiom,  (! [A] :  (l3_algstr_0(A) =>  (v2_group_1(A) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k6_algstr_0(A, C, B)=C &  (k6_algstr_0(A, B, C)=C &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (k6_algstr_0(A, C, D)=B & k6_algstr_0(A, D, C)=B) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_group_1, axiom,  (! [A] :  (l3_algstr_0(A) =>  (v3_group_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k6_algstr_0(A, k6_algstr_0(A, B, C), D)=k6_algstr_0(A, B, k6_algstr_0(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t1_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k6_algstr_0(A, k6_algstr_0(A, B, C), D)=k6_algstr_0(A, B, k6_algstr_0(A, C, D))) ) ) ) ) )  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k6_algstr_0(A, C, B)=C &  (k6_algstr_0(A, B, C)=C &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (k6_algstr_0(A, C, D)=B & k6_algstr_0(A, D, C)=B) ) ) ) ) ) ) ) ) )  |  ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) ) ) ) ) ).
fof(t2_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  ( ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k6_algstr_0(A, k6_algstr_0(A, B, C), D)=k6_algstr_0(A, B, k6_algstr_0(A, C, D))) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & k6_algstr_0(A, B, D)=C) )  &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & k6_algstr_0(A, D, B)=C) ) ) ) ) ) ) )  =>  (v3_group_1(A) & v2_group_1(A)) ) ) ) ).
fof(t3_group_1, axiom,  (v3_group_1(g3_algstr_0(k1_numbers, k9_binop_2)) & v2_group_1(g3_algstr_0(k1_numbers, k9_binop_2))) ).
fof(d4_group_1, axiom,  (! [A] :  (l3_algstr_0(A) =>  (v1_group_1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (B=k1_group_1(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k6_algstr_0(A, C, B)=C & k6_algstr_0(A, B, C)=C) ) ) ) ) ) ) ) ) ).
fof(t4_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k6_algstr_0(A, C, B)=C & k6_algstr_0(A, B, C)=C) ) )  => B=k1_group_1(A)) ) ) ) ) ).
fof(d5_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (C=k2_group_1(A, B) <=>  (k6_algstr_0(A, B, C)=k1_group_1(A) & k6_algstr_0(A, C, B)=k1_group_1(A)) ) ) ) ) ) ) ) ).
fof(t5_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (k6_algstr_0(A, C, B)=k1_group_1(A) & k6_algstr_0(A, B, C)=k1_group_1(A))  => B=k2_group_1(A, C)) ) ) ) ) ) ) ).
fof(t6_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (k6_algstr_0(A, D, C)=k6_algstr_0(A, D, B) | k6_algstr_0(A, C, D)=k6_algstr_0(A, B, D))  => C=B) ) ) ) ) ) ) ) ) ).
fof(t7_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (k6_algstr_0(A, C, B)=C | k6_algstr_0(A, B, C)=C)  => B=k1_group_1(A)) ) ) ) ) ) ) ).
fof(t8_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  => k2_group_1(A, k1_group_1(A))=k1_group_1(A)) ) ).
fof(t9_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k2_group_1(A, C)=k2_group_1(A, B) => C=B) ) ) ) ) ) ) ).
fof(t10_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k2_group_1(A, B)=k1_group_1(A) => B=k1_group_1(A)) ) ) ) ) ).
fof(t12_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k6_algstr_0(A, C, B)=k1_group_1(A) =>  (C=k2_group_1(A, B) & B=k2_group_1(A, C)) ) ) ) ) ) ) ) ).
fof(t13_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k6_algstr_0(A, D, B)=C <=> B=k6_algstr_0(A, k2_group_1(A, D), C)) ) ) ) ) ) ) ) ) ).
fof(t14_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k6_algstr_0(A, B, D)=C <=> B=k6_algstr_0(A, C, k2_group_1(A, D))) ) ) ) ) ) ) ) ) ).
fof(t15_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & k6_algstr_0(A, B, D)=C) ) ) ) ) ) ) ) ).
fof(t16_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & k6_algstr_0(A, D, B)=C) ) ) ) ) ) ) ) ).
fof(t17_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_group_1(A, k6_algstr_0(A, C, B))=k6_algstr_0(A, k2_group_1(A, B), k2_group_1(A, C))) ) ) ) ) ) ).
fof(t18_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k6_algstr_0(A, B, C)=k6_algstr_0(A, C, B) <=> k2_group_1(A, k6_algstr_0(A, B, C))=k6_algstr_0(A, k2_group_1(A, B), k2_group_1(A, C))) ) ) ) ) ) ) ).
fof(t19_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k6_algstr_0(A, B, C)=k6_algstr_0(A, C, B) <=> k6_algstr_0(A, k2_group_1(A, B), k2_group_1(A, C))=k6_algstr_0(A, k2_group_1(A, C), k2_group_1(A, B))) ) ) ) ) ) ) ).
fof(t20_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k6_algstr_0(A, B, C)=k6_algstr_0(A, C, B) <=> k6_algstr_0(A, B, k2_group_1(A, C))=k6_algstr_0(A, k2_group_1(A, C), B)) ) ) ) ) ) ) ).
fof(d6_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (B=k3_group_1(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, C)=k2_group_1(A, C)) ) ) ) ) ) ) ).
fof(t21_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  => r3_binop_1(u1_struct_0(A), k1_group_1(A), u2_algstr_0(A))) ) ).
fof(t22_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  => k3_binop_1(u1_struct_0(A), u2_algstr_0(A))=k1_group_1(A)) ) ).
fof(t23_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  => r1_finseqop(u1_struct_0(A), k3_group_1(A), u2_algstr_0(A))) ) ).
fof(t24_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  => r2_funct_2(u1_struct_0(A), u1_struct_0(A), k5_finseqop(u1_struct_0(A), u2_algstr_0(A)), k3_group_1(A))) ) ).
fof(d7_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), k4_ordinal1), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k4_ordinal1), u1_struct_0(A))))) )  =>  (B=k4_group_1(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k9_nat_1(u1_struct_0(A), B, C, k5_numbers)=k1_group_1(A) &  (! [D] :  (v7_ordinal1(D) => k9_nat_1(u1_struct_0(A), B, C, k1_nat_1(D, 1))=k6_algstr_0(A, k9_nat_1(u1_struct_0(A), B, C, D), C)) ) ) ) ) ) ) ) ) ) ).
fof(d8_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_int_1(C) =>  ( (r1_xxreal_0(k5_numbers, C) => k5_group_1(A, B, C)=k9_nat_1(u1_struct_0(A), k4_group_1(A), B, k1_int_2(C)))  &  ( ~ (r1_xxreal_0(k5_numbers, C))  => k5_group_1(A, B, C)=k2_group_1(A, k9_nat_1(u1_struct_0(A), k4_group_1(A), B, k1_int_2(C)))) ) ) ) ) ) ) ) ).
fof(d9_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) => k5_group_1(A, B, C)=k1_binop_1(k4_group_1(A), B, C)) ) ) ) ) ) ).
fof(t25_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_group_1(A, B, k5_numbers)=k1_group_1(A)) ) ) ) ).
fof(t26_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_group_1(A, B, 1)=B) ) ) ) ).
fof(t27_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_group_1(A, B, 2)=k6_algstr_0(A, B, B)) ) ) ) ).
fof(t28_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_group_1(A, B, 3)=k6_algstr_0(A, k6_algstr_0(A, B, B), B)) ) ) ) ).
fof(t29_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k5_group_1(A, B, 2)=k1_group_1(A) <=> k2_group_1(A, B)=B) ) ) ) ) ).
fof(t30_group_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (r1_xxreal_0(A, k5_numbers) => k5_group_1(B, C, A)=k2_group_1(B, k5_group_1(B, C, k1_int_2(A)))) ) ) ) ) ) ) ).
fof(t31_group_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  => k5_group_1(B, k1_group_1(B), A)=k1_group_1(B)) ) ) ) ).
fof(t32_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_group_1(A, B, k4_xcmplx_0(1))=k2_group_1(A, B)) ) ) ) ).
fof(t33_group_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) & l3_algstr_0(C)) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) => k5_group_1(C, D, k2_xcmplx_0(A, B))=k6_algstr_0(C, k5_group_1(C, D, A), k5_group_1(C, D, B))) ) ) ) ) ) ) ) ).
fof(t34_group_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (k5_group_1(B, C, k2_xcmplx_0(A, 1))=k6_algstr_0(B, k5_group_1(B, C, A), C) & k5_group_1(B, C, k2_xcmplx_0(A, 1))=k6_algstr_0(B, C, k5_group_1(B, C, A))) ) ) ) ) ) ) ).
fof(t35_group_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) & l3_algstr_0(C)) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) => k5_group_1(C, D, k3_xcmplx_0(A, B))=k5_group_1(C, k5_group_1(C, D, A), B)) ) ) ) ) ) ) ) ).
fof(t36_group_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k5_group_1(B, C, k4_xcmplx_0(A))=k2_group_1(B, k5_group_1(B, C, A))) ) ) ) ) ) ).
fof(t37_group_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k5_group_1(B, k2_group_1(B, C), A)=k2_group_1(B, k5_group_1(B, C, A))) ) ) ) ) ) ).
fof(t38_group_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (k6_algstr_0(B, C, D)=k6_algstr_0(B, D, C) => k5_group_1(B, k6_algstr_0(B, C, D), A)=k6_algstr_0(B, k5_group_1(B, C, A), k5_group_1(B, D, A))) ) ) ) ) ) ) ) ) ).
fof(t39_group_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) & l3_algstr_0(C)) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (k6_algstr_0(C, D, E)=k6_algstr_0(C, E, D) => k6_algstr_0(C, k5_group_1(C, D, A), k5_group_1(C, E, B))=k6_algstr_0(C, k5_group_1(C, E, B), k5_group_1(C, D, A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_group_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (k6_algstr_0(B, C, D)=k6_algstr_0(B, D, C) => k6_algstr_0(B, C, k5_group_1(B, D, A))=k6_algstr_0(B, k5_group_1(B, D, A), C)) ) ) ) ) ) ) ) ) ).
fof(d10_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v4_group_1(B, A) <=>  (! [C] :  (v7_ordinal1(C) =>  (k5_group_1(A, B, C)=k1_group_1(A) => C=k5_numbers) ) ) ) ) ) ) ) ).
fof(d11_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (v4_group_1(B, A) =>  (C=k6_group_1(A, B) <=> C=k5_numbers) )  &  ( ~ (v4_group_1(B, A))  =>  (C=k6_group_1(A, B) <=>  (k5_group_1(A, B, C)=k1_group_1(A) &  ( ~ (C=k5_numbers)  &  (! [D] :  (v7_ordinal1(D) =>  (k5_group_1(A, B, D)=k1_group_1(A) =>  (D=k5_numbers | r1_xxreal_0(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_group_1(A, B, k6_group_1(A, B))=k1_group_1(A)) ) ) ) ).
fof(t42_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  => k6_group_1(A, k1_group_1(A))=1) ) ).
fof(t43_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k6_group_1(A, B)=1 => B=k1_group_1(A)) ) ) ) ) ).
fof(t44_group_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (k5_group_1(B, C, A)=k1_group_1(B) => r1_int_1(k6_group_1(B, C), A)) ) ) ) ) ) ) ).
fof(t45_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) & l1_struct_0(A)) )  => r1_xxreal_0(1, k7_group_1(A))) ) ).
fof(d12_group_1, axiom,  (! [A] :  (l3_algstr_0(A) =>  (v5_group_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k6_algstr_0(A, B, C)=k6_algstr_0(A, C, B)) ) ) ) ) ) ) ).
fof(t46_group_1, axiom,  ( ~ (v2_struct_0(g3_algstr_0(k1_numbers, k9_binop_2)))  &  (v2_group_1(g3_algstr_0(k1_numbers, k9_binop_2)) &  (v3_group_1(g3_algstr_0(k1_numbers, k9_binop_2)) &  (v5_group_1(g3_algstr_0(k1_numbers, k9_binop_2)) & l3_algstr_0(g3_algstr_0(k1_numbers, k9_binop_2))) ) ) ) ).
fof(t47_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_group_1(A, k8_group_1(A, B, C))=k8_group_1(A, k2_group_1(A, B), k2_group_1(A, C))) ) ) ) ) ) ).
fof(t48_group_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k5_group_1(B, k8_group_1(B, C, D), A)=k8_group_1(B, k5_group_1(B, C, A), k5_group_1(B, D, A))) ) ) ) ) ) ) ) ).
fof(t49_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (v2_rlvect_1(g2_algstr_0(u1_struct_0(A), u2_algstr_0(A), k1_group_1(A))) &  (v3_rlvect_1(g2_algstr_0(u1_struct_0(A), u2_algstr_0(A), k1_group_1(A))) &  (v4_rlvect_1(g2_algstr_0(u1_struct_0(A), u2_algstr_0(A), k1_group_1(A))) & v13_algstr_0(g2_algstr_0(u1_struct_0(A), u2_algstr_0(A), k1_group_1(A)))) ) ) ) ) ).
fof(t50_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k9_nat_1(u1_struct_0(A), k4_group_1(A), B, 1)=B) ) ) ) ).
fof(t51_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k9_nat_1(u1_struct_0(A), k4_group_1(A), B, 2)=k6_algstr_0(A, B, B)) ) ) ) ).
fof(t52_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) => k9_nat_1(u1_struct_0(A), k4_group_1(A), k8_group_1(A, B, C), D)=k8_group_1(A, k9_nat_1(u1_struct_0(A), k4_group_1(A), B, D), k9_nat_1(u1_struct_0(A), k4_group_1(A), C, D))) ) ) ) ) ) ) ) ).
fof(d13_group_1, axiom,  (! [A] :  (l3_algstr_0(A) =>  (! [B] :  (l3_algstr_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v6_group_1(C, A, B) <=> k1_funct_1(C, k1_group_1(A))=k1_group_1(B)) ) ) ) ) ) ) ).
fof(dt_k1_group_1, axiom,  (! [A] :  (l3_algstr_0(A) => m1_subset_1(k1_group_1(A), u1_struct_0(A))) ) ).
fof(dt_k2_group_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k2_group_1(A, B), u1_struct_0(A))) ) ).
fof(involutiveness_k2_group_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  & m1_subset_1(B, u1_struct_0(A)))  => k2_group_1(A, k2_group_1(A, B))=B) ) ).
fof(dt_k3_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (v1_funct_1(k3_group_1(A)) &  (v1_funct_2(k3_group_1(A), u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(k3_group_1(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ).
fof(dt_k4_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (v1_funct_1(k4_group_1(A)) &  (v1_funct_2(k4_group_1(A), k2_zfmisc_1(u1_struct_0(A), k4_ordinal1), u1_struct_0(A)) & m1_subset_1(k4_group_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k4_ordinal1), u1_struct_0(A))))) ) ) ) ).
fof(dt_k5_group_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & v1_int_1(C)) )  => m1_subset_1(k5_group_1(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k6_group_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k6_group_1(A, B), k4_ordinal1)) ) ).
fof(dt_k7_group_1, axiom,  (! [A] :  ( (v8_struct_0(A) & l1_struct_0(A))  => m1_subset_1(k7_group_1(A), k4_ordinal1)) ) ).
fof(redefinition_k7_group_1, axiom,  (! [A] :  ( (v8_struct_0(A) & l1_struct_0(A))  => k7_group_1(A)=k7_struct_0(A)) ) ).
fof(dt_k8_group_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v5_group_1(A) & l3_algstr_0(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k8_group_1(A, B, C), u1_struct_0(A))) ) ).
fof(commutativity_k8_group_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v5_group_1(A) & l3_algstr_0(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k8_group_1(A, B, C)=k8_group_1(A, C, B)) ) ).
fof(redefinition_k8_group_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v5_group_1(A) & l3_algstr_0(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k8_group_1(A, B, C)=k6_algstr_0(A, B, C)) ) ).
fof(rc1_group_10, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_funct_2(B, B)))) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v5_relat_1(C, k1_funct_2(B, B)) &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) &  (v1_funct_2(C, u1_struct_0(A), k1_funct_2(B, B)) & v1_group_10(C, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_group_10, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) & l3_algstr_0(B)) )  &  (m1_subset_1(C, u1_struct_0(B)) &  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), k1_funct_2(A, A)) &  (v1_group_10(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_funct_2(A, A))))) ) ) ) ) )  =>  (v1_funct_1(k1_funct_1(D, C)) &  (v2_funct_1(k1_funct_1(D, C)) & v1_funct_2(k1_funct_1(D, C), A, A)) ) ) ) ).
fof(fc2_group_10, axiom,  (! [A, B] :  (v1_finset_1(A) => v1_finset_1(k3_group_10(A, B))) ) ).
fof(fc3_group_10, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, B) &  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), k1_funct_2(B, B)) &  (v1_group_10(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_funct_2(B, B))))) ) ) ) ) )  =>  ~ (v1_xboole_0(k13_group_10(A, B, D, C))) ) ) ).
fof(fc4_group_10, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ( ~ (v2_struct_0(k4_gr_cy_1(A)))  &  (v15_algstr_0(k4_gr_cy_1(A)) & v2_group_10(k4_gr_cy_1(A), A)) ) ) ) ).
fof(rc2_group_10, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (? [B] :  (l3_algstr_0(B) &  ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v15_algstr_0(B) &  (v1_group_1(B) &  (v2_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v1_gr_cy_1(B) & v2_group_10(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc5_group_10, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  &  (v7_ordinal1(B) & v1_int_2(B)) )  =>  ( ~ (v1_xboole_0(k15_group_10(A, B)))  & v1_finset_1(k15_group_10(A, B))) ) ) ).
fof(d1_group_10, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_funct_2(B, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_funct_2(B, B))))) )  =>  (v1_group_10(C, A, B) <=>  (r2_funct_2(B, B, k1_group_10(A, B, C, k1_group_1(A)), k6_partfun1(B)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => r2_funct_2(B, B, k1_group_10(A, B, C, k6_algstr_0(A, D, E)), k1_partfun1(B, B, B, B, k1_group_10(A, B, C, E), k1_group_10(A, B, C, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_group_10, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_funct_2(u1_struct_0(A), u1_struct_0(A))) &  (v1_group_10(B, A, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_funct_2(u1_struct_0(A), u1_struct_0(A)))))) ) )  =>  (B=k2_group_10(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k1_funct_2(u1_struct_0(A), u1_struct_0(A)), B, C)=k1_topgrp_1(A, C)) ) ) ) ) ) ) ).
fof(t1_group_10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  ~ ( (r1_ordinal1(k4_card_1(A), k1_card_1(B)) & v1_xboole_0(k3_group_10(B, A))) ) ) ) ) ) ).
fof(t2_group_10, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (! [D] :  ( ~ (C=D)  => k1_card_1(k1_card_fin(A, B, C, D))=k4_card_1(k3_group_10(A, B))) ) ) ) ) ) ) ).
fof(d4_group_10, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) & l3_algstr_0(C)) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), k1_funct_2(A, A)) &  (v1_group_10(E, C, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), k1_funct_2(A, A))))) ) )  =>  (r1_ordinal1(k4_card_1(B), k1_card_1(A)) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k3_group_10(A, B), k3_group_10(A, B)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k3_group_10(A, B), k3_group_10(A, B))))) )  =>  (F=k4_group_10(A, B, C, D, E) <=>  (! [G] :  (m1_subset_1(G, k3_group_10(A, B)) => k1_funct_1(F, G)=k7_relset_1(A, A, k1_group_10(C, A, E, D), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_group_10, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) & l3_algstr_0(C)) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(C), k1_funct_2(A, A)) &  (v1_group_10(D, C, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), k1_funct_2(A, A))))) ) )  =>  (r1_ordinal1(k4_card_1(B), k1_card_1(A)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), k1_funct_2(k3_group_10(A, B), k3_group_10(A, B))) &  (v1_group_10(E, C, k3_group_10(A, B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), k1_funct_2(k3_group_10(A, B), k3_group_10(A, B)))))) ) )  =>  (E=k5_group_10(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) => k3_funct_2(u1_struct_0(C), k1_funct_2(k3_group_10(A, B), k3_group_10(A, B)), E, F)=k4_group_10(A, B, C, F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_group_10, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(A), C), k2_zfmisc_1(u1_struct_0(A), C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), C), k2_zfmisc_1(u1_struct_0(A), C))))) )  =>  (D=k6_group_10(A, B, C) <=>  (! [E] :  (m1_subset_1(E, k2_zfmisc_1(u1_struct_0(A), C)) =>  (? [F] :  (m1_subset_1(F, k2_zfmisc_1(u1_struct_0(A), C)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  (? [H] :  (m1_subset_1(H, u1_struct_0(A)) &  (? [I] :  (m1_subset_1(I, C) &  (F=k3_funct_2(k2_zfmisc_1(u1_struct_0(A), C), k2_zfmisc_1(u1_struct_0(A), C), D, E) &  (H=k6_algstr_0(A, B, G) &  (E=k1_domain_1(u1_struct_0(A), C, G, I) & F=k1_domain_1(u1_struct_0(A), C, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_group_10, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_funct_2(k2_zfmisc_1(u1_struct_0(A), B), k2_zfmisc_1(u1_struct_0(A), B))) &  (v1_group_10(C, A, k2_zfmisc_1(u1_struct_0(A), B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_funct_2(k2_zfmisc_1(u1_struct_0(A), B), k2_zfmisc_1(u1_struct_0(A), B)))))) ) )  =>  (C=k7_group_10(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k1_funct_2(k2_zfmisc_1(u1_struct_0(A), B), k2_zfmisc_1(u1_struct_0(A), B)), C, D)=k6_group_10(A, D, B)) ) ) ) ) ) ) ) ) ).
fof(d8_group_10, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_group_2(A, C), k15_group_2(A, C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_group_2(A, C), k15_group_2(A, C))))) )  =>  (E=k8_group_10(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, k15_group_2(A, C)) =>  (? [G] :  (m1_subset_1(G, k15_group_2(A, C)) &  (? [H] :  (m1_subset_1(H, k1_zfmisc_1(u1_struct_0(A))) &  (? [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(A))) &  (? [J] :  (m1_subset_1(J, u1_struct_0(A)) &  (G=k1_funct_1(E, F) &  (I=k4_group_2(A, J, H) &  (H=F &  (I=G & J=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_group_10, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), k1_funct_2(k15_group_2(A, C), k15_group_2(A, C))) &  (v1_group_10(D, B, k15_group_2(A, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_funct_2(k15_group_2(A, C), k15_group_2(A, C)))))) ) )  =>  (D=k9_group_10(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => k3_funct_2(u1_struct_0(B), k1_funct_2(k15_group_2(A, C), k15_group_2(A, C)), D, E)=k8_group_10(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_group_10, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_funct_2(B, B)) &  (v1_group_10(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_funct_2(B, B))))) ) )  =>  (! [D] :  (m1_subset_1(D, B) => k11_group_10(A, B, C, D)=k10_group_10(A, B, C, k6_domain_1(B, D))) ) ) ) ) ) ) ) ).
fof(d12_group_10, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_funct_2(B, B)) &  (v1_group_10(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_funct_2(B, B))))) ) )  =>  (! [D] :  (m1_subset_1(D, B) =>  (r1_group_10(A, B, C, D) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => D=k1_funct_1(k1_group_10(A, B, C, E), D)) ) ) ) ) ) ) ) ) ) ).
fof(d14_group_10, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_funct_2(B, B)) &  (v1_group_10(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_funct_2(B, B))))) ) )  =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  (m1_subset_1(E, B) =>  (r2_group_10(A, B, C, D, E) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) & E=k1_funct_1(k1_group_10(A, B, C, F), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_group_10, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), k1_funct_2(B, B)) &  (v1_group_10(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_funct_2(B, B))))) ) )  => r2_group_10(A, B, D, C, C)) ) ) ) ) ) ) ) ).
fof(t4_group_10, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), k1_funct_2(B, B)) &  (v1_group_10(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_funct_2(B, B))))) ) )  =>  (r2_group_10(A, B, E, C, D) => r2_group_10(A, B, E, D, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_group_10, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  (m1_subset_1(E, B) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(A), k1_funct_2(B, B)) &  (v1_group_10(F, A, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_funct_2(B, B))))) ) )  =>  ( (r2_group_10(A, B, F, C, D) & r2_group_10(A, B, F, D, E))  => r2_group_10(A, B, F, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_group_10, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), k1_funct_2(B, B)) &  (v1_group_10(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_funct_2(B, B))))) ) )  =>  (r1_subset_1(k13_group_10(A, B, E, C), k13_group_10(A, B, E, D)) | k13_group_10(A, B, E, C)=k13_group_10(A, B, E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_group_10, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), k1_funct_2(B, B)) &  (v1_group_10(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_funct_2(B, B))))) ) )  =>  (r1_group_10(A, B, D, C) => k13_group_10(A, B, D, C)=k6_domain_1(B, C)) ) ) ) ) ) ) ) ) ).
fof(t8_group_10, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), k1_funct_2(B, B)) &  (v1_group_10(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_funct_2(B, B))))) ) )  => k1_card_1(k13_group_10(A, B, D, C))=k17_group_2(A, k11_group_10(A, B, D, C))) ) ) ) ) ) ) ) ).
fof(d17_group_10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (v2_group_10(B, A) <=>  (? [C] :  (v7_ordinal1(C) & k7_struct_0(B)=k1_newton(A, C)) ) ) ) ) ) ) ).
fof(t9_group_10, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v7_ordinal1(C) & v1_int_2(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), k1_funct_2(A, A)) &  (v1_group_10(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_funct_2(A, A))))) ) )  =>  (v2_group_10(B, C) => k4_nat_d(k4_card_1(k12_group_10(B, A, D)), C)=k4_nat_d(k4_card_1(A), C)) ) ) ) ) ) ) ) ) ).
fof(d18_group_10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_group_2(C, B) =>  (r3_group_10(A, B, C) <=>  (v2_group_10(C, A) &  ~ (r1_nat_d(A, k18_group_2(B, C))) ) ) ) ) ) ) ) ) ).
fof(t10_group_10, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (? [C] :  ( (v15_algstr_0(C) & m1_group_2(C, A))  & r3_group_10(B, A, C)) ) ) ) ) ) ).
fof(t11_group_10, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  ~ ( (r1_nat_d(B, k7_group_1(A)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ (k6_group_1(A, C)=B) ) ) ) ) ) ) ) ) ).
fof(t12_group_10, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  ( (! [C] :  (m1_group_2(C, A) =>  ~ ( (v2_group_10(C, B) &  (! [D] :  (m1_group_2(D, A) =>  ~ ( (r3_group_10(B, A, D) & m1_group_2(C, D)) ) ) ) ) ) ) )  &  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_group_2(D, A) =>  ( (r3_group_10(B, A, C) & r3_group_10(B, A, D))  => r5_group_3(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(d20_group_10, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_group_10(A, B), k15_group_10(A, B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_group_10(A, B), k15_group_10(A, B))))) )  =>  (E=k16_group_10(A, B, C, D) <=>  (! [F] :  (m2_subset_1(F, k1_group_3(A), k15_group_10(A, B)) =>  (? [G] :  (m2_subset_1(G, k1_group_3(A), k15_group_10(A, B)) &  (? [H] :  ( (v15_algstr_0(H) & m1_group_2(H, A))  &  (? [I] :  ( (v15_algstr_0(I) & m1_group_2(I, A))  &  (? [J] :  (m1_subset_1(J, u1_struct_0(A)) &  (G=k3_funct_2(k15_group_10(A, B), k15_group_10(A, B), E, F) &  (F=H &  (G=I &  (k2_group_1(C, D)=J & r1_group_2(A, I, k6_group_3(A, H, J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d21_group_10, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(C), k1_funct_2(k15_group_10(A, B), k15_group_10(A, B))) &  (v1_group_10(D, C, k15_group_10(A, B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), k1_funct_2(k15_group_10(A, B), k15_group_10(A, B)))))) ) )  =>  (D=k17_group_10(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) => k3_funct_2(u1_struct_0(C), k1_funct_2(k15_group_10(A, B), k15_group_10(A, B)), D, E)=k16_group_10(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_group_10, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (k4_nat_d(k4_card_1(k15_group_10(A, B)), B)=1 & r1_nat_d(k4_card_1(k15_group_10(A, B)), k7_group_1(A))) ) ) ) ) ).
fof(t15_group_10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v7_ordinal1(D) & v1_int_2(D))  =>  ~ ( (A=k3_xcmplx_0(k1_newton(D, C), B) &  ( ~ (r1_nat_d(D, B))  & k4_nat_d(k4_newton(k1_newton(D, C), A), D)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_group_10, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => k7_group_1(k4_gr_cy_1(A))=A) ) ).
fof(t17_group_10, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_card_1(B)=k1_card_1(k5_group_2(A, C, B))) ) ) ) ) ) ).
fof(s1_group_10, axiom,  ( (r2_funct_2(f1_s1_group_10, f1_s1_group_10, f3_s1_group_10(k1_group_1(f2_s1_group_10)), k6_partfun1(f1_s1_group_10)) &  (! [A] :  (m1_subset_1(A, u1_struct_0(f2_s1_group_10)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(f2_s1_group_10)) => r2_funct_2(f1_s1_group_10, f1_s1_group_10, f3_s1_group_10(k6_algstr_0(f2_s1_group_10, A, B)), k1_partfun1(f1_s1_group_10, f1_s1_group_10, f1_s1_group_10, f1_s1_group_10, f3_s1_group_10(B), f3_s1_group_10(A)))) ) ) ) )  =>  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(f2_s1_group_10), k1_funct_2(f1_s1_group_10, f1_s1_group_10)) &  (v1_group_10(A, f2_s1_group_10, f1_s1_group_10) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(f2_s1_group_10), k1_funct_2(f1_s1_group_10, f1_s1_group_10))))) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(f2_s1_group_10)) => k3_funct_2(u1_struct_0(f2_s1_group_10), k1_funct_2(f1_s1_group_10, f1_s1_group_10), A, B)=f3_s1_group_10(B)) ) ) ) ) ).
fof(dt_k1_group_10, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_funct_2(B, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_funct_2(B, B))))) )  & m1_subset_1(D, u1_struct_0(A))) )  =>  (v1_funct_1(k1_group_10(A, B, C, D)) &  (v1_funct_2(k1_group_10(A, B, C, D), B, B) & m1_subset_1(k1_group_10(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) ) ) ).
fof(redefinition_k1_group_10, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_funct_2(B, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_funct_2(B, B))))) )  & m1_subset_1(D, u1_struct_0(A))) )  => k1_group_10(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(dt_f2_s1_group_10, axiom,  ( ~ (v2_struct_0(f2_s1_group_10))  &  (v2_group_1(f2_s1_group_10) & l3_algstr_0(f2_s1_group_10)) ) ).
fof(dt_f3_s1_group_10, axiom,  (! [A] :  (v1_funct_1(f3_s1_group_10(A)) &  (v1_funct_2(f3_s1_group_10(A), f1_s1_group_10, f1_s1_group_10) & m1_subset_1(f3_s1_group_10(A), k1_zfmisc_1(k2_zfmisc_1(f1_s1_group_10, f1_s1_group_10)))) ) ) ).
fof(dt_k2_group_10, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (v1_funct_1(k2_group_10(A)) &  (v1_funct_2(k2_group_10(A), u1_struct_0(A), k1_funct_2(u1_struct_0(A), u1_struct_0(A))) &  (v1_group_10(k2_group_10(A), A, u1_struct_0(A)) & m1_subset_1(k2_group_10(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_funct_2(u1_struct_0(A), u1_struct_0(A)))))) ) ) ) ) ).
fof(dt_k3_group_10, axiom,  (! [A, B] : m1_subset_1(k3_group_10(A, B), k1_zfmisc_1(k1_zfmisc_1(A)))) ).
fof(dt_k4_group_10, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) & l3_algstr_0(C)) )  &  (m1_subset_1(D, u1_struct_0(C)) &  (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), k1_funct_2(A, A)) &  (v1_group_10(E, C, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), k1_funct_2(A, A))))) ) ) ) ) ) )  =>  (v1_funct_1(k4_group_10(A, B, C, D, E)) &  (v1_funct_2(k4_group_10(A, B, C, D, E), k3_group_10(A, B), k3_group_10(A, B)) & m1_subset_1(k4_group_10(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k3_group_10(A, B), k3_group_10(A, B))))) ) ) ) ).
fof(dt_k5_group_10, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) & l3_algstr_0(C)) )  &  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(C), k1_funct_2(A, A)) &  (v1_group_10(D, C, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), k1_funct_2(A, A))))) ) ) ) ) )  =>  (v1_funct_1(k5_group_10(A, B, C, D)) &  (v1_funct_2(k5_group_10(A, B, C, D), u1_struct_0(C), k1_funct_2(k3_group_10(A, B), k3_group_10(A, B))) &  (v1_group_10(k5_group_10(A, B, C, D), C, k3_group_10(A, B)) & m1_subset_1(k5_group_10(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), k1_funct_2(k3_group_10(A, B), k3_group_10(A, B)))))) ) ) ) ) ).
fof(dt_k6_group_10, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  (m1_subset_1(B, u1_struct_0(A)) &  ~ (v1_xboole_0(C)) ) )  =>  (v1_funct_1(k6_group_10(A, B, C)) &  (v1_funct_2(k6_group_10(A, B, C), k2_zfmisc_1(u1_struct_0(A), C), k2_zfmisc_1(u1_struct_0(A), C)) & m1_subset_1(k6_group_10(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), C), k2_zfmisc_1(u1_struct_0(A), C))))) ) ) ) ).
fof(dt_k7_group_10, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  ~ (v1_xboole_0(B)) )  =>  (v1_funct_1(k7_group_10(A, B)) &  (v1_funct_2(k7_group_10(A, B), u1_struct_0(A), k1_funct_2(k2_zfmisc_1(u1_struct_0(A), B), k2_zfmisc_1(u1_struct_0(A), B))) &  (v1_group_10(k7_group_10(A, B), A, k2_zfmisc_1(u1_struct_0(A), B)) & m1_subset_1(k7_group_10(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_funct_2(k2_zfmisc_1(u1_struct_0(A), B), k2_zfmisc_1(u1_struct_0(A), B)))))) ) ) ) ) ).
fof(dt_k8_group_10, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_group_2(B, A) &  (m1_group_2(C, A) & m1_subset_1(D, u1_struct_0(B))) ) )  =>  (v1_funct_1(k8_group_10(A, B, C, D)) &  (v1_funct_2(k8_group_10(A, B, C, D), k15_group_2(A, C), k15_group_2(A, C)) & m1_subset_1(k8_group_10(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k15_group_2(A, C), k15_group_2(A, C))))) ) ) ) ).
fof(dt_k9_group_10, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_group_2(B, A) & m1_group_2(C, A)) )  =>  (v1_funct_1(k9_group_10(A, B, C)) &  (v1_funct_2(k9_group_10(A, B, C), u1_struct_0(B), k1_funct_2(k15_group_2(A, C), k15_group_2(A, C))) &  (v1_group_10(k9_group_10(A, B, C), B, k15_group_2(A, C)) & m1_subset_1(k9_group_10(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_funct_2(k15_group_2(A, C), k15_group_2(A, C)))))) ) ) ) ) ).
fof(dt_k10_group_10, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_funct_2(B, B)) &  (v1_group_10(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_funct_2(B, B))))) ) )  & m1_subset_1(D, k1_zfmisc_1(B))) ) )  =>  (v15_algstr_0(k10_group_10(A, B, C, D)) & m1_group_2(k10_group_10(A, B, C, D), A)) ) ) ).
fof(dt_k11_group_10, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_funct_2(B, B)) &  (v1_group_10(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_funct_2(B, B))))) ) )  & m1_subset_1(D, B)) ) )  =>  (v15_algstr_0(k11_group_10(A, B, C, D)) & m1_group_2(k11_group_10(A, B, C, D), A)) ) ) ).
fof(dt_k12_group_10, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_funct_2(B, B)) &  (v1_group_10(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_funct_2(B, B))))) ) ) )  => m1_subset_1(k12_group_10(A, B, C), k1_zfmisc_1(B))) ) ).
fof(dt_k13_group_10, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_funct_2(B, B)) &  (v1_group_10(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_funct_2(B, B))))) ) )  & m1_subset_1(D, B)) ) )  => m1_subset_1(k13_group_10(A, B, C, D), k1_zfmisc_1(B))) ) ).
fof(dt_k14_group_10, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_funct_2(B, B)) &  (v1_group_10(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_funct_2(B, B))))) ) ) ) )  => m1_eqrel_1(k14_group_10(A, B, C), B)) ) ).
fof(dt_k15_group_10, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  & v7_ordinal1(B))  => m1_subset_1(k15_group_10(A, B), k1_zfmisc_1(k1_group_3(A)))) ) ).
fof(dt_k16_group_10, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  &  ( (v7_ordinal1(B) & v1_int_2(B))  &  (m1_group_2(C, A) & m1_subset_1(D, u1_struct_0(C))) ) )  =>  (v1_funct_1(k16_group_10(A, B, C, D)) &  (v1_funct_2(k16_group_10(A, B, C, D), k15_group_10(A, B), k15_group_10(A, B)) & m1_subset_1(k16_group_10(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k15_group_10(A, B), k15_group_10(A, B))))) ) ) ) ).
fof(dt_k17_group_10, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  &  ( (v7_ordinal1(B) & v1_int_2(B))  & m1_group_2(C, A)) )  =>  (v1_funct_1(k17_group_10(A, B, C)) &  (v1_funct_2(k17_group_10(A, B, C), u1_struct_0(C), k1_funct_2(k15_group_10(A, B), k15_group_10(A, B))) &  (v1_group_10(k17_group_10(A, B, C), C, k15_group_10(A, B)) & m1_subset_1(k17_group_10(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), k1_funct_2(k15_group_10(A, B), k15_group_10(A, B)))))) ) ) ) ) ).
fof(d3_group_10, axiom,  (! [A] :  (! [B] : k3_group_10(A, B)=a_2_0_group_10(A, B)) ) ).
fof(d10_group_10, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_funct_2(B, B)) &  (v1_group_10(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_funct_2(B, B))))) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) =>  (! [E] :  ( (v15_algstr_0(E) & m1_group_2(E, A))  =>  (E=k10_group_10(A, B, C, D) <=> u1_struct_0(E)=a_4_0_group_10(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_group_10, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_funct_2(B, B)) &  (v1_group_10(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_funct_2(B, B))))) ) )  =>  ( ( ~ (v1_xboole_0(B))  => k12_group_10(A, B, C)=a_3_0_group_10(A, B, C))  &  (v1_xboole_0(B) => k12_group_10(A, B, C)=k1_subset_1(B)) ) ) ) ) ) ) ).
fof(d15_group_10, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_funct_2(B, B)) &  (v1_group_10(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_funct_2(B, B))))) ) )  =>  (! [D] :  (m1_subset_1(D, B) => k13_group_10(A, B, C, D)=a_4_1_group_10(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(d16_group_10, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_funct_2(B, B)) &  (v1_group_10(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_funct_2(B, B))))) ) )  => k14_group_10(A, B, C)=a_3_1_group_10(A, B, C)) ) ) ) ) ) ).
fof(d19_group_10, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (v7_ordinal1(B) => k15_group_10(A, B)=a_2_1_group_10(A, B)) ) ) ) ).
fof(t14_group_10, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  => k1_card_1(a_2_2_group_10(A, B))=k1_card_1(B)) ) ) ) ).
fof(fraenkel_a_2_0_group_10, axiom,  (! [A, B, C] :  (r2_hidden(A, a_2_0_group_10(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) &  (A=D & k1_card_1(D)=C) ) ) ) ) ).
fof(fraenkel_a_4_0_group_10, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  &  ( ~ (v1_xboole_0(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), k1_funct_2(C, C)) &  (v1_group_10(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_funct_2(C, C))))) ) )  & m1_subset_1(E, k1_zfmisc_1(C))) ) )  =>  (r2_hidden(A, a_4_0_group_10(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (A=F & k7_relset_1(C, C, k1_group_10(B, C, D, F), E)=E) ) ) ) ) ) ).
fof(fraenkel_a_3_0_group_10, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v1_group_1(B) & l3_algstr_0(B)) )  &  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), k1_funct_2(C, C)) &  (v1_group_10(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_funct_2(C, C))))) ) ) )  =>  (r2_hidden(A, a_3_0_group_10(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, C) &  (A=E & r1_group_10(B, C, D, E)) ) ) ) ) ) ).
fof(fraenkel_a_4_1_group_10, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(B))  &  (v1_group_1(B) & l3_algstr_0(B)) )  &  ( ~ (v1_xboole_0(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), k1_funct_2(C, C)) &  (v1_group_10(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_funct_2(C, C))))) ) )  & m1_subset_1(E, C)) ) )  =>  (r2_hidden(A, a_4_1_group_10(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, C) &  (A=F & r2_group_10(B, C, D, E, F)) ) ) ) ) ) ).
fof(fraenkel_a_3_1_group_10, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), k1_funct_2(C, C)) &  (v1_group_10(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_funct_2(C, C))))) ) ) ) )  =>  (r2_hidden(A, a_3_1_group_10(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(C)) &  (A=E &  (? [F] :  (m1_subset_1(F, C) & E=k13_group_10(B, C, D, F)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_group_10, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  & v7_ordinal1(C))  =>  (r2_hidden(A, a_2_1_group_10(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_group_3(B)) &  (A=D &  (? [E] :  ( (v15_algstr_0(E) & m1_group_2(E, B))  &  (E=D & r3_group_10(C, B, E)) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_2_group_10, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  ~ (v1_xboole_0(C)) )  =>  (r2_hidden(A, a_2_2_group_10(B, C)) <=>  (? [D] :  (m1_subset_1(D, C) & A=k2_zfmisc_1(B, k6_domain_1(C, D))) ) ) ) ) ).
fof(t1_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_group_3(B, A) & m1_group_2(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_group_2(A, k13_group_2(A, B, C), k13_group_2(A, B, D))=k13_group_2(A, B, k6_algstr_0(A, C, D))) ) ) ) ) ) ) ) ).
fof(t2_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, k13_group_2(A, B, C)) => k13_group_2(A, B, C)=k13_group_2(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t3_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (r1_xboole_0(k13_group_2(A, B, D), k8_group_2(A, C)))  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_tarski(E, k13_group_2(A, B, D)) & r1_struct_0(C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_group_3(D, A) & m1_group_2(D, A))  =>  (r1_struct_0(D, C) => r1_struct_0(D, k6_algstr_0(A, k6_algstr_0(A, B, C), k2_group_1(A, B)))) ) ) ) ) ) ) ) ) ).
fof(t5_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_struct_0(B, D) => r1_struct_0(B, k6_algstr_0(A, k6_algstr_0(A, C, D), k2_group_1(A, C)))) ) ) ) )  => v1_group_3(B, A)) ) ) ) ) ).
fof(t6_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, k7_group_4(A, B, C)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (D=k6_algstr_0(A, E, F) &  (r1_struct_0(B, E) & r1_struct_0(C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) &  (v1_group_3(B, A) & m1_group_2(B, A)) )  =>  (! [C] :  ( (v15_algstr_0(C) &  (v1_group_3(C, A) & m1_group_2(C, A)) )  =>  (? [D] :  ( (v15_algstr_0(D) & m1_group_2(D, A))  & u1_struct_0(D)=k7_group_4(A, B, C)) ) ) ) ) ) ) ) ).
fof(t8_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) &  (v1_group_3(B, A) & m1_group_2(B, A)) )  =>  (! [C] :  ( (v15_algstr_0(C) &  (v1_group_3(C, A) & m1_group_2(C, A)) )  =>  (? [D] :  ( (v15_algstr_0(D) &  (v1_group_3(D, A) & m1_group_2(D, A)) )  & u1_struct_0(D)=k7_group_4(A, B, C)) ) ) ) ) ) ) ) ).
fof(t9_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_group_2(D, A) =>  (u1_struct_0(B)=k7_group_4(A, C, D) =>  (m1_group_2(C, B) & m1_group_2(D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t10_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_group_3(B, A) & m1_group_2(B, A))  =>  (! [C] :  ( (v1_group_3(C, A) & m1_group_2(C, A))  =>  (! [D] :  ( (v1_group_3(D, A) & m1_group_2(D, A))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (u1_struct_0(B)=k7_group_4(A, C, D) => k2_group_2(A, k13_group_2(A, C, E), k13_group_2(A, D, F))=k13_group_2(A, B, k6_algstr_0(A, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_group_3(B, A) & m1_group_2(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_tarski(k5_group_2(A, k2_group_1(A, C), k13_group_2(A, B, C)), k8_group_2(A, B))) ) ) ) ) ) ).
fof(t12_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, k1_group_11(A, B, C)) => r1_tarski(k13_group_2(A, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t13_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_tarski(k13_group_2(A, C, D), B) => r2_tarski(D, k1_group_11(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t14_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(D, k2_group_11(A, B, C)) & r1_xboole_0(k13_group_2(A, C, D), B)) ) ) ) ) ) ) ) ) ) ).
fof(t15_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ~ (r1_xboole_0(k13_group_2(A, C, D), B))  => r2_tarski(D, k2_group_11(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t16_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_group_2(C, A) => r1_tarski(k1_group_11(A, B, C), B)) ) ) ) ) ) ).
fof(t17_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_group_2(C, A) => r1_tarski(B, k2_group_11(A, B, C))) ) ) ) ) ) ).
fof(t18_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_group_2(C, A) => r1_tarski(k1_group_11(A, B, C), k2_group_11(A, B, C))) ) ) ) ) ) ).
fof(t19_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  (m1_group_2(D, A) => k2_group_11(A, k4_subset_1(u1_struct_0(A), B, C), D)=k4_subset_1(u1_struct_0(A), k2_group_11(A, B, D), k2_group_11(A, C, D))) ) ) ) ) ) ) ) ).
fof(t20_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  (m1_group_2(D, A) => k1_group_11(A, k9_subset_1(u1_struct_0(A), B, C), D)=k9_subset_1(u1_struct_0(A), k1_group_11(A, B, D), k1_group_11(A, C, D))) ) ) ) ) ) ) ) ).
fof(t21_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  (m1_group_2(D, A) =>  (r1_tarski(B, C) => r1_tarski(k1_group_11(A, B, D), k1_group_11(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t22_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  (m1_group_2(D, A) =>  (r1_tarski(B, C) => r1_tarski(k2_group_11(A, B, D), k2_group_11(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t23_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  (m1_group_2(D, A) => r1_tarski(k4_subset_1(u1_struct_0(A), k1_group_11(A, B, D), k1_group_11(A, C, D)), k1_group_11(A, k4_subset_1(u1_struct_0(A), B, C), D))) ) ) ) ) ) ) ) ).
fof(t24_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  (m1_group_2(D, A) => k2_group_11(A, k4_subset_1(u1_struct_0(A), B, C), D)=k4_subset_1(u1_struct_0(A), k2_group_11(A, B, D), k2_group_11(A, C, D))) ) ) ) ) ) ) ) ).
fof(t25_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_group_2(D, A) =>  (m1_group_2(C, D) => r1_tarski(k1_group_11(A, B, D), k1_group_11(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t26_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_group_2(D, A) =>  (m1_group_2(C, D) => r1_tarski(k2_group_11(A, B, C), k2_group_11(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t27_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  ( (v1_group_3(D, A) & m1_group_2(D, A))  => r1_tarski(k2_group_2(A, k1_group_11(A, B, D), k1_group_11(A, C, D)), k1_group_11(A, k2_group_2(A, B, C), D))) ) ) ) ) ) ) ) ).
fof(t28_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  (m1_group_2(D, A) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_tarski(E, k2_group_11(A, k2_group_2(A, B, C), D)) & r1_xboole_0(k13_group_2(A, D, E), k2_group_2(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  ( (v1_group_3(D, A) & m1_group_2(D, A))  => k2_group_2(A, k2_group_11(A, B, D), k2_group_11(A, C, D))=k2_group_11(A, k2_group_2(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t30_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(D, k2_group_11(A, k1_group_11(A, k2_group_11(A, B, C), C), C)) & r1_xboole_0(k13_group_2(A, C, D), k1_group_11(A, k2_group_11(A, B, C), C))) ) ) ) ) ) ) ) ) ) ).
fof(t31_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, k1_group_11(A, k2_group_11(A, B, C), C)) => r1_tarski(k13_group_2(A, C, D), k2_group_11(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t32_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(D, k2_group_11(A, k2_group_11(A, B, C), C)) & r1_xboole_0(k13_group_2(A, C, D), k2_group_11(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t33_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(D, k2_group_11(A, k1_group_11(A, B, C), C)) & r1_xboole_0(k13_group_2(A, C, D), k1_group_11(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t34_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_group_2(C, A) => k1_group_11(A, k1_group_11(A, B, C), C)=k1_group_11(A, B, C)) ) ) ) ) ) ).
fof(t35_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_group_2(C, A) => k2_group_11(A, B, C)=k2_group_11(A, k2_group_11(A, B, C), C)) ) ) ) ) ) ).
fof(t36_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_group_2(C, A) => r1_tarski(k1_group_11(A, k1_group_11(A, B, C), C), k2_group_11(A, k2_group_11(A, B, C), C))) ) ) ) ) ) ).
fof(t37_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_group_2(C, A) => r1_tarski(k2_group_11(A, k1_group_11(A, B, C), C), B)) ) ) ) ) ) ).
fof(t38_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_group_2(C, A) => k1_group_11(A, k2_group_11(A, k1_group_11(A, B, C), C), C)=k1_group_11(A, B, C)) ) ) ) ) ) ).
fof(t39_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_group_2(C, A) =>  (r1_tarski(B, k1_group_11(A, k2_group_11(A, B, C), C)) => r1_tarski(k2_group_11(A, B, C), k2_group_11(A, k1_group_11(A, k2_group_11(A, B, C), C), C))) ) ) ) ) ) ) ).
fof(t40_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_group_2(C, A) => k2_group_11(A, k1_group_11(A, k2_group_11(A, B, C), C), C)=k2_group_11(A, B, C)) ) ) ) ) ) ).
fof(t41_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, k1_group_11(A, k1_group_11(A, B, C), C)) => r1_tarski(k13_group_2(A, C, D), k1_group_11(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t42_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_group_2(C, A) => k1_group_11(A, k1_group_11(A, B, C), C)=k2_group_11(A, k1_group_11(A, B, C), C)) ) ) ) ) ) ).
fof(t43_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_group_2(C, A) => k2_group_11(A, k2_group_11(A, B, C), C)=k1_group_11(A, k2_group_11(A, B, C), C)) ) ) ) ) ) ).
fof(t44_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_group_2(D, A) =>  (! [E] :  (m1_group_2(E, A) =>  (C=k10_group_2(A, D, E) => r1_tarski(k2_group_11(A, B, C), k9_subset_1(u1_struct_0(A), k2_group_11(A, B, D), k2_group_11(A, B, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_group_2(D, A) =>  (! [E] :  (m1_group_2(E, A) =>  (C=k10_group_2(A, D, E) => r1_tarski(k9_subset_1(u1_struct_0(A), k1_group_11(A, B, D), k1_group_11(A, B, E)), k1_group_11(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v15_algstr_0(C) &  (v1_group_3(C, A) & m1_group_2(C, A)) )  =>  (! [D] :  ( (v15_algstr_0(D) &  (v1_group_3(D, A) & m1_group_2(D, A)) )  =>  (? [E] :  ( (v15_algstr_0(E) &  (v1_group_3(E, A) & m1_group_2(E, A)) )  &  (u1_struct_0(E)=k7_group_4(A, C, D) & r1_tarski(k1_group_11(A, B, E), k9_subset_1(u1_struct_0(A), k1_group_11(A, B, C), k1_group_11(A, B, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v15_algstr_0(C) &  (v1_group_3(C, A) & m1_group_2(C, A)) )  =>  (! [D] :  ( (v15_algstr_0(D) &  (v1_group_3(D, A) & m1_group_2(D, A)) )  =>  (? [E] :  ( (v15_algstr_0(E) &  (v1_group_3(E, A) & m1_group_2(E, A)) )  &  (u1_struct_0(E)=k7_group_4(A, C, D) & r1_tarski(k4_subset_1(u1_struct_0(A), k2_group_11(A, B, C), k2_group_11(A, B, D)), k2_group_11(A, B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v15_algstr_0(C) &  (v1_group_3(C, A) & m1_group_2(C, A)) )  =>  (! [D] :  ( (v15_algstr_0(D) &  (v1_group_3(D, A) & m1_group_2(D, A)) )  =>  (? [E] :  ( (v15_algstr_0(E) &  (v1_group_3(E, A) & m1_group_2(E, A)) )  &  (u1_struct_0(E)=k7_group_4(A, C, D) & r1_tarski(k2_group_11(A, B, E), k9_subset_1(u1_struct_0(A), k11_group_2(A, D, k2_group_11(A, B, C)), k11_group_2(A, C, k2_group_11(A, B, D))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, k3_group_11(A, C, B)) => r1_tarski(k13_group_2(A, B, D), k8_group_2(A, C))) ) ) ) ) ) ) ) ) ).
fof(t50_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_tarski(k13_group_2(A, B, D), k8_group_2(A, C)) => r2_tarski(D, k3_group_11(A, C, B))) ) ) ) ) ) ) ) ) ).
fof(t51_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(D, k4_group_11(A, C, B)) & r1_xboole_0(k13_group_2(A, B, D), k8_group_2(A, C))) ) ) ) ) ) ) ) ) ) ).
fof(t52_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ~ (r1_xboole_0(k13_group_2(A, B, D), k8_group_2(A, C)))  => r2_tarski(D, k4_group_11(A, C, B))) ) ) ) ) ) ) ) ) ).
fof(t53_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) => r1_tarski(k3_group_11(A, C, B), k8_group_2(A, C))) ) ) ) ) ) ).
fof(t54_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) => r1_tarski(k8_group_2(A, C), k4_group_11(A, C, B))) ) ) ) ) ) ).
fof(t55_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) => r1_tarski(k3_group_11(A, C, B), k4_group_11(A, C, B))) ) ) ) ) ) ).
fof(t56_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_group_2(D, A) =>  (m1_group_2(C, D) => r1_tarski(k4_group_11(A, C, B), k4_group_11(A, D, B))) ) ) ) ) ) ) ) ) ).
fof(t57_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_group_2(D, A) =>  (m1_group_2(C, D) => r1_tarski(k4_group_11(A, B, C), k4_group_11(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t58_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (m1_group_2(B, C) => r1_tarski(k4_group_11(A, B, B), k4_group_11(A, C, C))) ) ) ) ) ) ) ).
fof(t59_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_group_2(D, A) =>  (m1_group_2(C, D) => r1_tarski(k3_group_11(A, C, B), k3_group_11(A, D, B))) ) ) ) ) ) ) ) ) ).
fof(t60_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_group_2(D, A) =>  (m1_group_2(C, D) => r1_tarski(k3_group_11(A, B, D), k3_group_11(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t61_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (m1_group_2(B, C) => r1_tarski(k3_group_11(A, B, C), k3_group_11(A, C, B))) ) ) ) ) ) ) ).
fof(t62_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  ( (v1_group_3(D, A) & m1_group_2(D, A))  => r1_tarski(k2_group_2(A, k3_group_11(A, B, D), k3_group_11(A, C, D)), k1_group_11(A, k7_group_4(A, B, C), D))) ) ) ) ) ) ) ) ).
fof(t63_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  ( (v1_group_3(D, A) & m1_group_2(D, A))  => k2_group_2(A, k4_group_11(A, B, D), k4_group_11(A, C, D))=k2_group_11(A, k7_group_4(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t64_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_group_2(D, A) =>  (! [E] :  (m1_group_2(E, A) =>  (C=k10_group_2(A, D, E) => r1_tarski(k4_group_11(A, B, C), k9_subset_1(u1_struct_0(A), k4_group_11(A, B, D), k4_group_11(A, B, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_group_2(D, A) =>  (! [E] :  (m1_group_2(E, A) =>  (C=k10_group_2(A, D, E) => r1_tarski(k9_subset_1(u1_struct_0(A), k3_group_11(A, B, D), k3_group_11(A, B, E)), k3_group_11(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  ( (v15_algstr_0(C) &  (v1_group_3(C, A) & m1_group_2(C, A)) )  =>  (! [D] :  ( (v15_algstr_0(D) &  (v1_group_3(D, A) & m1_group_2(D, A)) )  =>  (? [E] :  ( (v15_algstr_0(E) &  (v1_group_3(E, A) & m1_group_2(E, A)) )  &  (u1_struct_0(E)=k7_group_4(A, C, D) & r1_tarski(k3_group_11(A, B, E), k9_subset_1(u1_struct_0(A), k3_group_11(A, B, C), k3_group_11(A, B, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  ( (v15_algstr_0(C) &  (v1_group_3(C, A) & m1_group_2(C, A)) )  =>  (! [D] :  ( (v15_algstr_0(D) &  (v1_group_3(D, A) & m1_group_2(D, A)) )  =>  (? [E] :  ( (v15_algstr_0(E) &  (v1_group_3(E, A) & m1_group_2(E, A)) )  &  (u1_struct_0(E)=k7_group_4(A, C, D) & r1_tarski(k4_subset_1(u1_struct_0(A), k4_group_11(A, B, C), k4_group_11(A, B, D)), k4_group_11(A, B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  ( (v15_algstr_0(C) &  (v1_group_3(C, A) & m1_group_2(C, A)) )  =>  (! [D] :  ( (v15_algstr_0(D) &  (v1_group_3(D, A) & m1_group_2(D, A)) )  =>  (? [E] :  ( (v15_algstr_0(E) &  (v1_group_3(E, A) & m1_group_2(E, A)) )  &  (u1_struct_0(E)=k7_group_4(A, C, D) & r1_tarski(k2_group_2(A, k3_group_11(A, B, C), k3_group_11(A, B, D)), k3_group_11(A, B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t69_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  ( (v15_algstr_0(C) &  (v1_group_3(C, A) & m1_group_2(C, A)) )  =>  (! [D] :  ( (v15_algstr_0(D) &  (v1_group_3(D, A) & m1_group_2(D, A)) )  =>  (? [E] :  ( (v15_algstr_0(E) &  (v1_group_3(E, A) & m1_group_2(E, A)) )  &  (u1_struct_0(E)=k7_group_4(A, C, D) & r1_tarski(k2_group_2(A, k4_group_11(A, B, C), k4_group_11(A, B, D)), k4_group_11(A, B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  ( (v15_algstr_0(C) &  (v1_group_3(C, A) & m1_group_2(C, A)) )  =>  (! [D] :  ( (v15_algstr_0(D) &  (v1_group_3(D, A) & m1_group_2(D, A)) )  =>  (? [E] :  ( (v15_algstr_0(E) &  (v1_group_3(E, A) & m1_group_2(E, A)) )  &  (u1_struct_0(E)=k7_group_4(A, C, D) & r1_tarski(k4_group_11(A, B, E), k9_subset_1(u1_struct_0(A), k11_group_2(A, D, k4_group_11(A, B, C)), k11_group_2(A, C, k4_group_11(A, B, D))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  ( (v1_group_3(C, A) & m1_group_2(C, A))  =>  (? [D] :  ( (v15_algstr_0(D) & m1_group_2(D, A))  & u1_struct_0(D)=k4_group_11(A, B, C)) ) ) ) ) ) ) ) ).
fof(t72_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  ( (v1_group_3(C, A) & m1_group_2(C, A))  =>  ~ ( (m1_group_2(C, B) &  (! [D] :  ( (v15_algstr_0(D) & m1_group_2(D, A))  =>  ~ (u1_struct_0(D)=k3_group_11(A, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t73_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_group_3(B, A) & m1_group_2(B, A))  =>  (! [C] :  ( (v1_group_3(C, A) & m1_group_2(C, A))  =>  (? [D] :  ( (v15_algstr_0(D) &  (v1_group_3(D, A) & m1_group_2(D, A)) )  & u1_struct_0(D)=k4_group_11(A, B, C)) ) ) ) ) ) ) ) ).
fof(t74_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_group_3(B, A) & m1_group_2(B, A))  =>  (! [C] :  ( (v1_group_3(C, A) & m1_group_2(C, A))  =>  ~ ( (m1_group_2(C, B) &  (! [D] :  ( (v15_algstr_0(D) &  (v1_group_3(D, A) & m1_group_2(D, A)) )  =>  ~ (u1_struct_0(D)=k3_group_11(A, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_group_3(B, A) & m1_group_2(B, A))  =>  (! [C] :  ( (v1_group_3(C, A) & m1_group_2(C, A))  =>  ~ ( (m1_group_2(C, B) &  (! [D] :  ( (v15_algstr_0(D) &  (v1_group_3(D, A) & m1_group_2(D, A)) )  =>  (! [E] :  ( (v15_algstr_0(E) &  (v1_group_3(E, A) & m1_group_2(E, A)) )  =>  ~ ( (u1_struct_0(D)=k4_group_11(A, B, C) &  (u1_struct_0(E)=k3_group_11(A, B, C) & r1_tarski(k3_group_11(A, B, D), k3_group_11(A, B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t76_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_group_3(B, A) & m1_group_2(B, A))  =>  (! [C] :  ( (v1_group_3(C, A) & m1_group_2(C, A))  =>  ~ ( (m1_group_2(C, B) &  (! [D] :  ( (v15_algstr_0(D) &  (v1_group_3(D, A) & m1_group_2(D, A)) )  =>  (! [E] :  ( (v15_algstr_0(E) &  (v1_group_3(E, A) & m1_group_2(E, A)) )  =>  ~ ( (u1_struct_0(D)=k4_group_11(A, B, C) &  (u1_struct_0(E)=k3_group_11(A, B, C) & r1_tarski(k4_group_11(A, B, E), k4_group_11(A, B, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t77_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_group_3(B, A) & m1_group_2(B, A))  =>  (! [C] :  ( (v1_group_3(C, A) & m1_group_2(C, A))  =>  ~ ( (m1_group_2(C, B) &  (! [D] :  ( (v15_algstr_0(D) &  (v1_group_3(D, A) & m1_group_2(D, A)) )  =>  (! [E] :  ( (v15_algstr_0(E) &  (v1_group_3(E, A) & m1_group_2(E, A)) )  =>  ~ ( (u1_struct_0(D)=k4_group_11(A, B, C) &  (u1_struct_0(E)=k3_group_11(A, B, C) & r1_tarski(k3_group_11(A, B, D), k4_group_11(A, B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t78_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_group_3(B, A) & m1_group_2(B, A))  =>  (! [C] :  ( (v1_group_3(C, A) & m1_group_2(C, A))  =>  ~ ( (m1_group_2(C, B) &  (! [D] :  ( (v15_algstr_0(D) &  (v1_group_3(D, A) & m1_group_2(D, A)) )  =>  (! [E] :  ( (v15_algstr_0(E) &  (v1_group_3(E, A) & m1_group_2(E, A)) )  =>  ~ ( (u1_struct_0(D)=k4_group_11(A, B, C) &  (u1_struct_0(E)=k3_group_11(A, B, C) & r1_tarski(k3_group_11(A, B, E), k4_group_11(A, B, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t79_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_group_3(B, A) & m1_group_2(B, A))  =>  (! [C] :  ( (v1_group_3(C, A) & m1_group_2(C, A))  =>  (! [D] :  ( (v1_group_3(D, A) & m1_group_2(D, A))  =>  ~ ( (m1_group_2(C, D) &  (! [E] :  ( (v15_algstr_0(E) &  (v1_group_3(E, A) & m1_group_2(E, A)) )  =>  (! [F] :  ( (v15_algstr_0(F) &  (v1_group_3(F, A) & m1_group_2(F, A)) )  =>  ~ ( (u1_struct_0(E)=k4_group_11(A, C, B) &  (u1_struct_0(F)=k4_group_11(A, D, B) & r1_tarski(k4_group_11(A, C, E), k4_group_11(A, C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t80_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_group_3(B, A) & m1_group_2(B, A))  =>  (! [C] :  ( (v1_group_3(C, A) & m1_group_2(C, A))  =>  (? [D] :  ( (v15_algstr_0(D) &  (v1_group_3(D, A) & m1_group_2(D, A)) )  &  (u1_struct_0(D)=k3_group_11(A, B, B) & r1_tarski(k3_group_11(A, C, B), k3_group_11(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t81_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_group_3(B, A) & m1_group_2(B, A))  =>  (! [C] :  ( (v1_group_3(C, A) & m1_group_2(C, A))  =>  (? [D] :  ( (v15_algstr_0(D) &  (v1_group_3(D, A) & m1_group_2(D, A)) )  &  (u1_struct_0(D)=k4_group_11(A, B, B) & r1_tarski(k4_group_11(A, C, B), k4_group_11(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(dt_k1_group_11, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_group_2(C, A)) )  => m1_subset_1(k1_group_11(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k2_group_11, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_group_2(C, A)) )  => m1_subset_1(k2_group_11(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k3_group_11, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_group_2(B, A) & m1_group_2(C, A)) )  => m1_subset_1(k3_group_11(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k4_group_11, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_group_2(B, A) & m1_group_2(C, A)) )  => m1_subset_1(k4_group_11(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(d1_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_group_2(C, A) => k1_group_11(A, B, C)=a_3_0_group_11(A, B, C)) ) ) ) ) ) ).
fof(d2_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_group_2(C, A) => k2_group_11(A, B, C)=a_3_1_group_11(A, B, C)) ) ) ) ) ) ).
fof(d3_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) => k3_group_11(A, B, C)=a_3_2_group_11(A, B, C)) ) ) ) ) ) ).
fof(d4_group_11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) => k4_group_11(A, B, C)=a_3_3_group_11(A, B, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_group_11, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  &  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) & m1_group_2(D, B)) )  =>  (r2_hidden(A, a_3_0_group_11(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E & r1_tarski(k13_group_2(B, D, E), C)) ) ) ) ) ) ).
fof(fraenkel_a_3_1_group_11, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  &  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) & m1_group_2(D, B)) )  =>  (r2_hidden(A, a_3_1_group_11(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E &  ~ (r1_xboole_0(k13_group_2(B, D, E), C)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_2_group_11, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  &  (m1_group_2(C, B) & m1_group_2(D, B)) )  =>  (r2_hidden(A, a_3_2_group_11(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E & r1_tarski(k13_group_2(B, D, E), k8_group_2(B, C))) ) ) ) ) ) ).
fof(fraenkel_a_3_3_group_11, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  &  (m1_group_2(C, B) & m1_group_2(D, B)) )  =>  (r2_hidden(A, a_3_3_group_11(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E &  ~ (r1_xboole_0(k13_group_2(B, D, E), k8_group_2(B, C))) ) ) ) ) ) ) ).
fof(fc1_group_12, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) & v2_group_7(B, A)) ) ) ) )  & m1_subset_1(C, A)) )  => v2_group_1(k1_funct_1(B, C))) ) ).
fof(fc2_group_12, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) & v3_group_7(B, A)) ) ) ) )  & m1_subset_1(C, A)) )  => v3_group_1(k1_funct_1(B, C))) ) ).
fof(fc3_group_12, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) & v4_group_7(B, A)) ) ) ) )  & m1_subset_1(C, A)) )  => v5_group_1(k1_funct_1(B, C))) ) ).
fof(fc4_group_12, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  & m1_subset_1(C, A)) )  =>  ~ (v1_xboole_0(k1_group_12(A, B, C))) ) ) ).
fof(fc5_group_12, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  & m1_subset_1(C, A)) )  =>  (v1_funct_1(k3_group_12(A, B, C)) &  (v1_funct_2(k3_group_12(A, B, C), u1_struct_0(k1_group_7(A, B, C)), u1_struct_0(k2_group_12(A, B, C))) &  (v3_funct_2(k3_group_12(A, B, C), u1_struct_0(k1_group_7(A, B, C)), u1_struct_0(k2_group_12(A, B, C))) & v1_group_6(k3_group_12(A, B, C), k1_group_7(A, B, C), k2_group_12(A, B, C))) ) ) ) ) ).
fof(fc6_group_12, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  & m1_subset_1(C, A)) )  =>  (v15_algstr_0(k2_group_12(A, B, C)) & v1_group_3(k2_group_12(A, B, C), k2_group_7(A, B))) ) ) ).
fof(t1_group_12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k1_group_7(A, B, C))) =>  ( (k9_xtuple_0(D)=A &  (k1_funct_1(D, C)=E &  (! [F] :  (m1_subset_1(F, A) =>  ( ~ (F=C)  => k1_funct_1(D, F)=k1_group_1(k1_group_7(A, B, F))) ) ) ) )  <=> D=k1_funct_7(k1_group_1(k2_group_7(A, B)), C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_group_12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k2_group_7(A, B)))) =>  (D=k1_group_12(A, B, C) <=>  (! [E] :  (r2_tarski(E, D) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(k1_group_7(A, B, C))) & E=k1_funct_7(k1_group_1(k2_group_7(A, B)), C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_group_12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (r2_tarski(D, k1_group_12(A, B, C)) <=>  (? [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  &  (? [F] :  (m1_subset_1(F, u1_struct_0(k1_group_7(A, B, C))) &  (E=D &  (k9_xtuple_0(E)=A &  (k1_funct_1(E, C)=F &  (! [G] :  (m1_subset_1(G, A) =>  ( ~ (G=C)  => k1_funct_1(E, G)=k1_group_1(k1_group_7(A, B, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_group_12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_group_7(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_group_7(A, B))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k1_group_7(A, B, C))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k1_group_7(A, B, C))) =>  ( (D=k1_funct_7(k1_group_1(k2_group_7(A, B)), C, F) & E=k1_funct_7(k1_group_1(k2_group_7(A, B)), C, G))  => k6_algstr_0(k2_group_7(A, B), D, E)=k1_funct_7(k1_group_1(k2_group_7(A, B)), C, k6_algstr_0(k1_group_7(A, B, C), F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_group_12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_group_7(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k1_group_7(A, B, C))) =>  (D=k1_funct_7(k1_group_1(k2_group_7(A, B)), C, E) => k2_group_1(k2_group_7(A, B), D)=k1_funct_7(k1_group_1(k2_group_7(A, B)), C, k2_group_1(k1_group_7(A, B, C), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_group_12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_group_7(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_group_7(A, B))) =>  ( (r2_tarski(D, k1_group_12(A, B, C)) & r2_tarski(E, k1_group_12(A, B, C)))  => r2_tarski(k6_algstr_0(k2_group_7(A, B), D, E), k1_group_12(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_group_12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_group_7(A, B))) =>  (r2_tarski(D, k1_group_12(A, B, C)) => r2_tarski(k2_group_1(k2_group_7(A, B), D), k1_group_12(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(d2_group_12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v15_algstr_0(D) & m1_group_2(D, k2_group_7(A, B)))  =>  (D=k2_group_12(A, B, C) <=> u1_struct_0(D)=k1_group_12(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(d3_group_12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k1_group_7(A, B, C)), u1_struct_0(k2_group_12(A, B, C))) &  (v1_group_6(D, k1_group_7(A, B, C), k2_group_12(A, B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_group_7(A, B, C)), u1_struct_0(k2_group_12(A, B, C)))))) ) )  =>  (D=k3_group_12(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(k1_group_7(A, B, C))) => k3_funct_2(u1_struct_0(k1_group_7(A, B, C)), u1_struct_0(k2_group_12(A, B, C)), D, E)=k1_funct_7(k1_group_1(k2_group_7(A, B)), C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_group_12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_group_7(A, B))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_group_7(A, B))) =>  ( (r1_struct_0(k2_group_12(A, B, C), E) & r1_struct_0(k2_group_12(A, B, D), F))  =>  (C=D | k6_algstr_0(k2_group_7(A, B), E, F)=k6_algstr_0(k2_group_7(A, B), F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_group_12, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k2_finseq_1(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k2_finseq_1(A)) &  (v1_group_7(B) &  (v2_group_7(B, k2_finseq_1(A)) & v3_group_7(B, k2_finseq_1(A))) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v2_group_1(D) &  (v3_group_1(D) & l3_algstr_0(D)) ) )  =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, A) & D=k1_funct_1(B, C)) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_group_7(k2_finseq_1(A), B))) =>  (! [F] :  (m2_finseq_1(F, u1_struct_0(k2_group_7(k2_finseq_1(A), B))) =>  ( ( (! [G] :  (m2_subset_1(G, k4_ordinal1, k2_finseq_1(A)) =>  (r2_tarski(G, k4_finseq_1(F)) => r1_struct_0(k2_group_12(k2_finseq_1(A), B, G), k1_funct_1(F, G))) ) )  & E=k3_group_4(k2_group_7(k2_finseq_1(A), B), F))  =>  (r1_xxreal_0(C, k3_finseq_1(F)) | k1_funct_1(E, C)=k1_group_1(D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_group_12, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k2_finseq_1(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k2_finseq_1(A)) &  (v1_group_7(B) &  (v2_group_7(B, k2_finseq_1(A)) & v3_group_7(B, k2_finseq_1(A))) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_group_7(k2_finseq_1(A), B))) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k2_group_7(k2_finseq_1(A), B))) =>  ( (k3_finseq_1(D)=A &  ( (! [E] :  (m2_subset_1(E, k4_ordinal1, k2_finseq_1(A)) => r1_struct_0(k2_group_12(k2_finseq_1(A), B, E), k1_funct_1(D, E))) )  & C=k3_group_4(k2_group_7(k2_finseq_1(A), B), D)) )  =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, A) &  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_group_7(k2_finseq_1(A), B))) =>  ~ ( (F=k1_funct_1(D, E) & k1_funct_1(C, E)=k1_funct_1(F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_group_12, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k2_finseq_1(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k2_finseq_1(A)) &  (v1_group_7(B) &  (v2_group_7(B, k2_finseq_1(A)) & v3_group_7(B, k2_finseq_1(A))) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_group_7(k2_finseq_1(A), B))) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k2_group_7(k2_finseq_1(A), B))) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(k2_group_7(k2_finseq_1(A), B))) =>  ( (k3_finseq_1(D)=A &  ( (! [F] :  (m2_subset_1(F, k4_ordinal1, k2_finseq_1(A)) => r1_struct_0(k2_group_12(k2_finseq_1(A), B, F), k1_funct_1(D, F))) )  &  (C=k3_group_4(k2_group_7(k2_finseq_1(A), B), D) &  (k3_finseq_1(E)=A &  ( (! [F] :  (m2_subset_1(F, k4_ordinal1, k2_finseq_1(A)) => r1_struct_0(k2_group_12(k2_finseq_1(A), B, F), k1_funct_1(E, F))) )  & C=k3_group_4(k2_group_7(k2_finseq_1(A), B), E)) ) ) ) )  => D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_group_12, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k2_finseq_1(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k2_finseq_1(A)) &  (v1_group_7(B) &  (v2_group_7(B, k2_finseq_1(A)) & v3_group_7(B, k2_finseq_1(A))) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_group_7(k2_finseq_1(A), B))) =>  (? [D] :  (m2_finseq_1(D, u1_struct_0(k2_group_7(k2_finseq_1(A), B))) &  (k3_finseq_1(D)=A &  ( (! [E] :  (m2_subset_1(E, k4_ordinal1, k2_finseq_1(A)) => r1_struct_0(k2_group_12(k2_finseq_1(A), B, E), k1_funct_1(D, E))) )  & C=k3_group_4(k2_group_7(k2_finseq_1(A), B), D)) ) ) ) ) ) ) ) ) ) ).
fof(t12_group_12, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k2_finseq_1(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, k2_finseq_1(A)) &  (v1_group_7(C) &  (v2_group_7(C, k2_finseq_1(A)) & v3_group_7(C, k2_finseq_1(A))) ) ) ) ) )  =>  ~ ( ( (! [D] :  (m2_subset_1(D, k4_ordinal1, k2_finseq_1(A)) => m1_group_2(k1_group_7(k2_finseq_1(A), C, D), B)) )  &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (? [E] :  (m2_finseq_1(E, u1_struct_0(B)) &  (k3_finseq_1(E)=A &  ( (! [F] :  (m2_subset_1(F, k4_ordinal1, k2_finseq_1(A)) => r1_struct_0(k1_group_7(k2_finseq_1(A), C, F), k1_funct_1(E, F))) )  & D=k3_group_4(B, E)) ) ) ) ) )  &  ( (! [D] :  (m2_finseq_1(D, u1_struct_0(B)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(B)) =>  ( (k3_finseq_1(D)=A &  ( (! [F] :  (m2_subset_1(F, k4_ordinal1, k2_finseq_1(A)) => r1_struct_0(k1_group_7(k2_finseq_1(A), C, F), k1_funct_1(D, F))) )  &  (k3_finseq_1(E)=A &  ( (! [F] :  (m2_subset_1(F, k4_ordinal1, k2_finseq_1(A)) => r1_struct_0(k1_group_7(k2_finseq_1(A), C, F), k1_funct_1(E, F))) )  & k3_group_4(B, D)=k3_group_4(B, E)) ) ) )  => D=E) ) ) ) )  &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k2_group_7(k2_finseq_1(A), C)), u1_struct_0(B)) &  (v1_group_6(D, k2_group_7(k2_finseq_1(A), C), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(k2_finseq_1(A), C)), u1_struct_0(B))))) ) )  =>  ~ ( (v3_funct_2(D, u1_struct_0(k2_group_7(k2_finseq_1(A), C)), u1_struct_0(B)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_group_7(k2_finseq_1(A), C))) =>  (? [F] :  (m2_finseq_1(F, u1_struct_0(B)) &  (k3_finseq_1(F)=A &  ( (! [G] :  (m2_subset_1(G, k4_ordinal1, k2_finseq_1(A)) => r1_struct_0(k1_group_7(k2_finseq_1(A), C, G), k1_funct_1(F, G))) )  &  (F=E & k3_funct_2(u1_struct_0(k2_group_7(k2_finseq_1(A), C)), u1_struct_0(B), D, E)=k3_group_4(B, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_group_12, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k2_finseq_1(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k2_finseq_1(A)) &  (v1_group_7(B) &  (v2_group_7(B, k2_finseq_1(A)) &  (v3_group_7(B, k2_finseq_1(A)) & v4_group_7(B, k2_finseq_1(A))) ) ) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k2_finseq_1(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, k2_finseq_1(A)) &  (v1_group_7(C) &  (v2_group_7(C, k2_finseq_1(A)) &  (v3_group_7(C, k2_finseq_1(A)) & v4_group_7(C, k2_finseq_1(A))) ) ) ) ) ) )  =>  ~ ( ( (! [D] :  (m2_subset_1(D, k4_ordinal1, k2_finseq_1(A)) => k1_group_7(k2_finseq_1(A), C, D)=k2_group_12(k2_finseq_1(A), B, D)) )  &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k2_group_7(k2_finseq_1(A), C)), u1_struct_0(k2_group_7(k2_finseq_1(A), B))) &  (v1_group_6(D, k2_group_7(k2_finseq_1(A), C), k2_group_7(k2_finseq_1(A), B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(k2_finseq_1(A), C)), u1_struct_0(k2_group_7(k2_finseq_1(A), B)))))) ) )  =>  ~ ( (v3_funct_2(D, u1_struct_0(k2_group_7(k2_finseq_1(A), C)), u1_struct_0(k2_group_7(k2_finseq_1(A), B))) &  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_group_7(k2_finseq_1(A), C))) =>  (? [F] :  (m2_finseq_1(F, u1_struct_0(k2_group_7(k2_finseq_1(A), B))) &  (k3_finseq_1(F)=A &  ( (! [G] :  (m2_subset_1(G, k4_ordinal1, k2_finseq_1(A)) => r1_struct_0(k1_group_7(k2_finseq_1(A), C, G), k1_funct_1(F, G))) )  &  (F=E & k3_funct_2(u1_struct_0(k2_group_7(k2_finseq_1(A), C)), u1_struct_0(k2_group_7(k2_finseq_1(A), B)), D, E)=k3_group_4(k2_group_7(k2_finseq_1(A), B), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_group_12, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  & m1_subset_1(C, A)) )  => m1_subset_1(k1_group_12(A, B, C), k1_zfmisc_1(u1_struct_0(k2_group_7(A, B))))) ) ).
fof(dt_k2_group_12, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  & m1_subset_1(C, A)) )  =>  (v15_algstr_0(k2_group_12(A, B, C)) & m1_group_2(k2_group_12(A, B, C), k2_group_7(A, B))) ) ) ).
fof(dt_k3_group_12, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  & m1_subset_1(C, A)) )  =>  (v1_funct_1(k3_group_12(A, B, C)) &  (v1_funct_2(k3_group_12(A, B, C), u1_struct_0(k1_group_7(A, B, C)), u1_struct_0(k2_group_12(A, B, C))) &  (v1_group_6(k3_group_12(A, B, C), k1_group_7(A, B, C), k2_group_12(A, B, C)) & m1_subset_1(k3_group_12(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_group_7(A, B, C)), u1_struct_0(k2_group_12(A, B, C)))))) ) ) ) ) ).
fof(fc1_group_14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (v1_relat_1(k5_finseq_1(A)) &  (v1_funct_1(k5_finseq_1(A)) &  ( ~ (v1_xboole_0(k5_finseq_1(A)))  &  (v1_finseq_1(k5_finseq_1(A)) & v2_prvect_1(k5_finseq_1(A))) ) ) ) ) ) ).
fof(fc2_group_14, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) ) )  =>  (v1_relat_1(k10_finseq_1(A, B)) &  (v1_funct_1(k10_finseq_1(A, B)) &  ( ~ (v1_xboole_0(k10_finseq_1(A, B)))  &  (v1_finseq_1(k10_finseq_1(A, B)) & v2_prvect_1(k10_finseq_1(A, B))) ) ) ) ) ) ).
fof(fc3_group_14, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v2_prvect_1(A)) ) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finseq_1(B) & v2_prvect_1(B)) ) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v1_finseq_1(k7_finseq_1(A, B)) & v2_prvect_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc4_group_14, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ( ~ (v2_struct_0(k2_group_14(A)))  & v8_algstr_0(k2_group_14(A))) ) ) ).
fof(fc5_group_14, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (v13_algstr_0(k2_group_14(A)) &  (v2_rlvect_1(k2_group_14(A)) &  (v3_rlvect_1(k2_group_14(A)) & v4_rlvect_1(k2_group_14(A))) ) ) ) ) ).
fof(t1_group_14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k21_prvect_1(k9_finseq_1(A)))) &  (v13_vectsp_1(B, A, k21_prvect_1(k9_finseq_1(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k21_prvect_1(k9_finseq_1(A))))))) ) )  &  (v3_funct_2(B, u1_struct_0(A), u1_struct_0(k21_prvect_1(k9_finseq_1(A)))) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(k21_prvect_1(k9_finseq_1(A))), B, C)=k12_finseq_1(u1_struct_0(A), C)) ) ) ) ) ) ) ).
fof(t2_group_14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k4_prvect_3(A, B)), u1_struct_0(k21_prvect_1(k10_finseq_1(A, B)))) &  (v13_vectsp_1(C, k4_prvect_3(A, B), k21_prvect_1(k10_finseq_1(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_prvect_3(A, B)), u1_struct_0(k21_prvect_1(k10_finseq_1(A, B))))))) ) )  &  (v3_funct_2(C, u1_struct_0(k4_prvect_3(A, B)), u1_struct_0(k21_prvect_1(k10_finseq_1(A, B)))) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => k1_binop_1(C, D, E)=k10_finseq_1(D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_group_14, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v2_prvect_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finseq_1(B) & v2_prvect_1(B)) ) ) )  =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k4_prvect_3(k21_prvect_1(A), k21_prvect_1(B))), u1_struct_0(k21_prvect_1(k7_finseq_1(A, B)))) &  (v13_vectsp_1(C, k4_prvect_3(k21_prvect_1(A), k21_prvect_1(B)), k21_prvect_1(k7_finseq_1(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_prvect_3(k21_prvect_1(A), k21_prvect_1(B))), u1_struct_0(k21_prvect_1(k7_finseq_1(A, B))))))) ) )  &  (v3_funct_2(C, u1_struct_0(k4_prvect_3(k21_prvect_1(A), k21_prvect_1(B))), u1_struct_0(k21_prvect_1(k7_finseq_1(A, B)))) &  (! [D] :  (m1_subset_1(D, u1_struct_0(k21_prvect_1(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k21_prvect_1(B))) =>  (? [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) )  &  (? [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) & v1_finseq_1(G)) )  &  (D=F &  (E=G & k1_binop_1(C, D, E)=k7_finseq_1(F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_group_14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k21_prvect_1(k10_finseq_1(A, B)))) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) & C=k10_finseq_1(D, E)) ) ) ) ) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k21_prvect_1(k10_finseq_1(A, B)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k21_prvect_1(k10_finseq_1(A, B)))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  ( (C=k10_finseq_1(E, G) & D=k10_finseq_1(F, H))  => k3_rlvect_1(k21_prvect_1(k10_finseq_1(A, B)), C, D)=k10_finseq_1(k3_rlvect_1(A, E, F), k3_rlvect_1(B, G, H))) ) ) ) ) ) ) ) ) ) ) ) )  &  (k4_struct_0(k21_prvect_1(k10_finseq_1(A, B)))=k10_finseq_1(k4_struct_0(A), k4_struct_0(B)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(k21_prvect_1(k10_finseq_1(A, B)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (C=k10_finseq_1(D, E) => k4_algstr_0(k21_prvect_1(k10_finseq_1(A, B)), C)=k10_finseq_1(k4_algstr_0(A, D), k4_algstr_0(B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_group_14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k4_prvect_3(A, B))) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) & C=k1_domain_1(u1_struct_0(A), u1_struct_0(B), D, E)) ) ) ) ) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k4_prvect_3(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k4_prvect_3(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  ( (C=k1_domain_1(u1_struct_0(A), u1_struct_0(B), E, G) & D=k1_domain_1(u1_struct_0(A), u1_struct_0(B), F, H))  => k3_rlvect_1(k4_prvect_3(A, B), C, D)=k1_domain_1(u1_struct_0(A), u1_struct_0(B), k3_rlvect_1(A, E, F), k3_rlvect_1(B, G, H))) ) ) ) ) ) ) ) ) ) ) ) )  &  (k4_struct_0(k4_prvect_3(A, B))=k1_domain_1(u1_struct_0(A), u1_struct_0(B), k4_struct_0(A), k4_struct_0(B)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_prvect_3(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (C=k1_domain_1(u1_struct_0(A), u1_struct_0(B), D, E) => k4_algstr_0(k4_prvect_3(A, B), C)=k1_domain_1(u1_struct_0(A), u1_struct_0(B), k4_algstr_0(A, D), k4_algstr_0(B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_group_14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) )  =>  (v1_funct_1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E)) &  (v1_funct_2(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), u1_struct_0(A), u1_struct_0(C)) &  (v13_vectsp_1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), A, C) & m1_subset_1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_group_14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (v3_funct_2(C, u1_struct_0(A), u1_struct_0(B)) =>  (v1_funct_1(k2_funct_1(C)) &  (v1_funct_2(k2_funct_1(C), u1_struct_0(B), u1_struct_0(A)) &  (v13_vectsp_1(k2_funct_1(C), B, A) & m1_subset_1(k2_funct_1(C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) ) ) ) ) ) ) ) ) ).
fof(t8_group_14, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v2_prvect_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finseq_1(B) & v2_prvect_1(B)) ) ) )  =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k21_prvect_1(k10_finseq_1(k21_prvect_1(A), k21_prvect_1(B)))), u1_struct_0(k21_prvect_1(k7_finseq_1(A, B)))) &  (v13_vectsp_1(C, k21_prvect_1(k10_finseq_1(k21_prvect_1(A), k21_prvect_1(B))), k21_prvect_1(k7_finseq_1(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k21_prvect_1(k10_finseq_1(k21_prvect_1(A), k21_prvect_1(B)))), u1_struct_0(k21_prvect_1(k7_finseq_1(A, B))))))) ) )  &  (v3_funct_2(C, u1_struct_0(k21_prvect_1(k10_finseq_1(k21_prvect_1(A), k21_prvect_1(B)))), u1_struct_0(k21_prvect_1(k7_finseq_1(A, B)))) &  (! [D] :  (m1_subset_1(D, u1_struct_0(k21_prvect_1(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k21_prvect_1(B))) =>  (? [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) )  &  (? [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) & v1_finseq_1(G)) )  &  (D=F &  (E=G & k1_funct_1(C, k10_finseq_1(D, E))=k7_finseq_1(F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_group_14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k4_prvect_3(A, B)), u1_struct_0(k4_prvect_3(A, k21_prvect_1(k9_finseq_1(B))))) &  (v13_vectsp_1(C, k4_prvect_3(A, B), k4_prvect_3(A, k21_prvect_1(k9_finseq_1(B)))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_prvect_3(A, B)), u1_struct_0(k4_prvect_3(A, k21_prvect_1(k9_finseq_1(B)))))))) ) )  &  (v3_funct_2(C, u1_struct_0(k4_prvect_3(A, B)), u1_struct_0(k4_prvect_3(A, k21_prvect_1(k9_finseq_1(B))))) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => k1_binop_1(C, D, E)=k1_domain_1(u1_struct_0(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))), D, k12_finseq_1(u1_struct_0(B), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_group_14, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v2_prvect_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k4_prvect_3(k21_prvect_1(A), B)), u1_struct_0(k21_prvect_1(k7_finseq_1(A, k9_finseq_1(B))))) &  (v13_vectsp_1(C, k4_prvect_3(k21_prvect_1(A), B), k21_prvect_1(k7_finseq_1(A, k9_finseq_1(B)))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_prvect_3(k21_prvect_1(A), B)), u1_struct_0(k21_prvect_1(k7_finseq_1(A, k9_finseq_1(B)))))))) ) )  &  (v3_funct_2(C, u1_struct_0(k4_prvect_3(k21_prvect_1(A), B)), u1_struct_0(k21_prvect_1(k7_finseq_1(A, k9_finseq_1(B))))) &  (! [D] :  (m1_subset_1(D, u1_struct_0(k21_prvect_1(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (? [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) )  &  (? [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) & v1_finseq_1(G)) )  &  (D=F &  (k12_finseq_1(u1_struct_0(B), E)=G & k1_binop_1(C, D, E)=k7_finseq_1(F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_group_14, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ( ~ (v2_struct_0(g2_algstr_0(u1_struct_0(k9_int_3(A)), u1_algstr_0(k9_int_3(A)), u2_struct_0(k9_int_3(A)))))  &  (v2_rlvect_1(g2_algstr_0(u1_struct_0(k9_int_3(A)), u1_algstr_0(k9_int_3(A)), u2_struct_0(k9_int_3(A)))) &  (v13_algstr_0(g2_algstr_0(u1_struct_0(k9_int_3(A)), u1_algstr_0(k9_int_3(A)), u2_struct_0(k9_int_3(A)))) &  (v3_rlvect_1(g2_algstr_0(u1_struct_0(k9_int_3(A)), u1_algstr_0(k9_int_3(A)), u2_struct_0(k9_int_3(A)))) & v4_rlvect_1(g2_algstr_0(u1_struct_0(k9_int_3(A)), u1_algstr_0(k9_int_3(A)), u2_struct_0(k9_int_3(A))))) ) ) ) ) ) ).
fof(d1_group_14, axiom,  (! [A] :  (v7_ordinal1(A) => k2_group_14(A)=g2_algstr_0(u1_struct_0(k9_int_3(A)), u1_algstr_0(k9_int_3(A)), u2_struct_0(k9_int_3(A)))) ) ).
fof(t12_group_14, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v2_prvect_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k21_prvect_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k21_prvect_1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k21_prvect_1(A))) =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) )  =>  (! [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) & v1_finseq_1(G)) )  =>  ( (B=E &  (C=F & D=G) )  =>  (D=k3_rlvect_1(k21_prvect_1(A), B, C) <=>  (! [H] :  (m2_subset_1(H, k4_ordinal1, k4_finseq_1(k15_prvect_1(A))) => k1_funct_1(G, H)=k1_binop_1(u1_algstr_0(k17_prvect_1(A, H)), k1_funct_1(E, H), k1_funct_1(F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_group_14, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) &  (v1_partfun3(A) & v1_int_6(A)) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_int_1(C) =>  (r2_tarski(B, k4_finseq_1(A)) => k5_int_1(k5_int_1(C, k19_rvsum_1(A)), k1_funct_1(A, B))=k5_int_1(C, k1_funct_1(A, B))) ) ) ) ) ) ) ).
fof(t14_group_14, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) &  (v1_partfun3(A) & v1_int_6(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finseq_1(B) & v2_prvect_1(B)) ) ) )  =>  ~ ( (k3_finseq_1(A)=k3_finseq_1(B) &  ( (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ ( (r2_tarski(C, k4_finseq_1(B)) &  (! [D] :  ( (v7_ordinal1(D) &  ~ (v8_ordinal1(D)) )  =>  ~ ( (D=k1_funct_1(A, C) & k1_funct_1(B, C)=k2_group_14(D)) ) ) ) ) ) ) )  &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k2_group_14(k19_rvsum_1(A))), u1_struct_0(k21_prvect_1(B))) &  (v13_vectsp_1(C, k2_group_14(k19_rvsum_1(A)), k21_prvect_1(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_14(k19_rvsum_1(A))), u1_struct_0(k21_prvect_1(B)))))) ) )  =>  (? [D] :  (v1_int_1(D) &  (r2_hidden(D, u1_struct_0(k2_group_14(k19_rvsum_1(A)))) &  ~ (k1_funct_1(C, D)=k1_int_6(D, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_group_14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k2_zfmisc_1(A, k4_card_3(k9_finseq_1(B)))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k2_zfmisc_1(A, k4_card_3(k9_finseq_1(B))))))) )  &  (v2_funct_1(C) &  (v2_funct_2(C, k2_zfmisc_1(A, k4_card_3(k9_finseq_1(B)))) &  (! [D] :  (! [E] :  ( (r2_tarski(D, A) & r2_tarski(E, B))  => k1_binop_1(C, D, E)=k4_tarski(D, k9_finseq_1(E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_group_14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k1_card_1(k4_card_3(k9_finseq_1(A)))=k1_card_1(A)) ) ).
fof(t17_group_14, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k4_card_3(A), B), k4_card_3(k7_finseq_1(A, k9_finseq_1(B)))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_card_3(A), B), k4_card_3(k7_finseq_1(A, k9_finseq_1(B))))))) )  &  (v2_funct_1(C) &  (v2_funct_2(C, k4_card_3(k7_finseq_1(A, k9_finseq_1(B)))) &  (! [D] :  (! [E] :  ~ ( (r2_tarski(D, k4_card_3(A)) &  (r2_tarski(E, B) &  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) )  =>  (! [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) & v1_finseq_1(G)) )  =>  ~ ( (D=F &  (k9_finseq_1(E)=G & k1_binop_1(C, D, E)=k7_finseq_1(F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_group_14, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_finseq_1(B)) ) ) )  =>  ( (k3_finseq_1(A)=k3_finseq_1(B) &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r2_tarski(C, k4_finseq_1(B)) => k1_card_1(k1_funct_1(B, C))=k1_funct_1(A, C)) ) ) )  => k1_card_1(k4_card_3(B))=k2_wsierp_1(A)) ) ) ) ) ).
fof(t19_group_14, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) &  (v1_partfun3(A) & v1_int_6(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finseq_1(B) & v2_prvect_1(B)) ) ) )  =>  ( (k3_finseq_1(A)=k3_finseq_1(B) &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ ( (r2_tarski(C, k4_finseq_1(B)) &  (! [D] :  ( (v7_ordinal1(D) &  ~ (v8_ordinal1(D)) )  =>  ~ ( (D=k1_funct_1(A, C) & k1_funct_1(B, C)=k2_group_14(D)) ) ) ) ) ) ) ) )  => k1_card_1(u1_struct_0(k21_prvect_1(B)))=k19_rvsum_1(A)) ) ) ) ) ).
fof(t20_group_14, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) &  (v1_partfun3(A) & v1_int_6(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finseq_1(B) & v2_prvect_1(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k2_group_14(k19_rvsum_1(A))), u1_struct_0(k21_prvect_1(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_14(k19_rvsum_1(A))), u1_struct_0(k21_prvect_1(B)))))) )  =>  ( (k3_finseq_1(A)=k3_finseq_1(B) &  ( (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ~ ( (r2_tarski(D, k4_finseq_1(B)) &  (! [E] :  ( (v7_ordinal1(E) &  ~ (v8_ordinal1(E)) )  =>  ~ ( (E=k1_funct_1(A, D) & k1_funct_1(B, D)=k2_group_14(E)) ) ) ) ) ) ) )  &  (! [D] :  (v1_int_1(D) =>  (r2_hidden(D, u1_struct_0(k2_group_14(k19_rvsum_1(A)))) => k1_funct_1(C, D)=k1_int_6(D, A)) ) ) ) )  => v2_funct_1(C)) ) ) ) ) ) ) ).
fof(t21_group_14, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) &  (v1_partfun3(A) & v1_int_6(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finseq_1(B) & v2_prvect_1(B)) ) ) )  =>  ~ ( (k3_finseq_1(A)=k3_finseq_1(B) &  ( (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ ( (r2_tarski(C, k4_finseq_1(B)) &  (! [D] :  ( (v7_ordinal1(D) &  ~ (v8_ordinal1(D)) )  =>  ~ ( (D=k1_funct_1(A, C) & k1_funct_1(B, C)=k2_group_14(D)) ) ) ) ) ) ) )  &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k2_group_14(k19_rvsum_1(A))), u1_struct_0(k21_prvect_1(B))) &  (v13_vectsp_1(C, k2_group_14(k19_rvsum_1(A)), k21_prvect_1(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_14(k19_rvsum_1(A))), u1_struct_0(k21_prvect_1(B)))))) ) )  =>  ~ ( (v3_funct_2(C, u1_struct_0(k2_group_14(k19_rvsum_1(A))), u1_struct_0(k21_prvect_1(B))) &  (! [D] :  (v1_int_1(D) =>  (r2_hidden(D, u1_struct_0(k2_group_14(k19_rvsum_1(A)))) => k1_funct_1(C, D)=k1_int_6(D, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_group_14, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  &  (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) ) ) )  =>  (v1_funct_1(k1_group_14(A, B, C, D, E)) &  (v1_funct_2(k1_group_14(A, B, C, D, E), u1_struct_0(A), u1_struct_0(C)) &  (v13_vectsp_1(k1_group_14(A, B, C, D, E), A, C) & m1_subset_1(k1_group_14(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C))))) ) ) ) ) ).
fof(redefinition_k1_group_14, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  &  (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) ) ) )  => k1_group_14(A, B, C, D, E)=k3_relat_1(D, E)) ) ).
fof(dt_k2_group_14, axiom,  (! [A] :  (v7_ordinal1(A) => l2_algstr_0(k2_group_14(A))) ) ).
fof(t1_group_17, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (r1_xboole_0(A, B) &  (r1_tarski(C, A) &  (r1_tarski(D, B) & k2_xboole_0(C, D)=k2_xboole_0(A, B)) ) )  =>  (C=A & D=B) ) ) ) ) ) ).
fof(t2_group_17, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  => k1_card_1(k4_card_3(k10_finseq_1(A, B)))=k2_nat_1(k4_card_1(A), k4_card_1(B))) ) ) ) ).
fof(t3_group_17, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k8_newton) &  (v1_funct_1(A) &  (v1_partfun1(A, k8_newton) &  (v4_valued_0(A) & v2_pre_poly(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k8_newton) &  (v1_funct_1(B) &  (v1_partfun1(B, k8_newton) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k8_newton) &  (v1_funct_1(C) &  (v1_partfun1(C, k8_newton) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xboole_0(k22_pre_poly(k8_newton, A), k22_pre_poly(k8_newton, B)) &  (r8_pboole(k8_newton, C, k11_pre_poly(k8_newton, A, B)) & r2_tarski(D, k22_pre_poly(k8_newton, A))) )  => k1_funct_1(A, D)=k1_funct_1(C, D)) ) ) ) ) ) ) ) ) ).
fof(t4_group_17, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k8_newton) &  (v1_funct_1(A) &  (v1_partfun1(A, k8_newton) &  (v4_valued_0(A) & v2_pre_poly(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k8_newton) &  (v1_funct_1(B) &  (v1_partfun1(B, k8_newton) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k8_newton) &  (v1_funct_1(C) &  (v1_partfun1(C, k8_newton) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xboole_0(k22_pre_poly(k8_newton, A), k22_pre_poly(k8_newton, B)) &  (r8_pboole(k8_newton, C, k11_pre_poly(k8_newton, A, B)) & r2_tarski(D, k22_pre_poly(k8_newton, B))) )  => k1_funct_1(B, D)=k1_funct_1(C, D)) ) ) ) ) ) ) ) ) ).
fof(t5_group_17, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  ( ~ (r1_int_2(B, A))  => r1_int_1(B, A)) ) ) ) ) ).
fof(t6_group_17, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  ( (! [C] :  ( (v7_ordinal1(C) & v1_int_2(C))  =>  ~ ( (r2_tarski(C, k22_pre_poly(k8_newton, k13_nat_3(B))) & r1_int_2(C, A)) ) ) )  => r1_tarski(k22_pre_poly(k8_newton, k13_nat_3(B)), k22_pre_poly(k8_newton, k13_nat_3(A)))) ) ) ) ) ).
fof(t7_group_17, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (! [D] :  ( (v7_ordinal1(D) &  ~ (v8_ordinal1(D)) )  =>  ( (r1_int_2(A, B) &  (k3_xcmplx_0(C, D)=k3_xcmplx_0(A, B) &  ( (! [E] :  ( (v7_ordinal1(E) & v1_int_2(E))  =>  ~ ( (r2_tarski(E, k22_pre_poly(k8_newton, k13_nat_3(C))) & r1_int_2(E, A)) ) ) )  &  (! [E] :  ( (v7_ordinal1(E) & v1_int_2(E))  =>  ~ ( (r2_tarski(E, k22_pre_poly(k8_newton, k13_nat_3(D))) & r1_int_2(E, B)) ) ) ) ) ) )  =>  (C=A & D=B) ) ) ) ) ) ) ) ) ) ).
fof(d1_group_17, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (v1_finset_1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v5_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, B)) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (D=k1_group_17(A, B, C) <=>  (? [E] :  (m2_finseq_1(E, u1_struct_0(A)) &  (D=k3_group_4(A, E) & E=k3_relat_1(k20_finseq_1(B), C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_group_17, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v1_finset_1(C))  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v5_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) & v1_partfun1(D, B)) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, C) &  (v5_relat_1(E, u1_struct_0(A)) &  (v1_funct_1(E) & v1_partfun1(E, C)) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, k2_xboole_0(B, C)) &  (v5_relat_1(F, u1_struct_0(A)) &  (v1_funct_1(F) & v1_partfun1(F, k2_xboole_0(B, C))) ) ) )  =>  ( (r1_subset_1(B, C) & F=k1_funct_4(D, E))  => k1_group_17(A, k2_xboole_0(B, C), F)=k8_group_1(A, k1_group_17(A, B, D), k1_group_17(A, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_group_17, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k1_tarski(B)) &  (v5_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) & v1_partfun1(D, k1_tarski(B))) ) ) )  =>  (D=k17_funcop_1(B, C) => k1_group_17(A, k1_tarski(B), D)=C) ) ) ) ) ) ) ) ).
fof(t10_group_17, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  => u1_struct_0(k2_group_7(k2_tarski(1, 2), k10_finseq_1(A, B)))=k4_card_3(k10_finseq_1(u1_struct_0(A), u1_struct_0(B)))) ) ) ) ).
fof(t11_group_17, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_group_3(B, A) & m1_group_2(B, A))  =>  (! [C] :  ( (v1_group_3(C, A) & m1_group_2(C, A))  =>  (k3_xboole_0(u1_struct_0(B), u1_struct_0(C))=k6_domain_1(u1_struct_0(A), k1_group_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_struct_0(B, D) & r1_struct_0(C, E))  => k6_algstr_0(A, D, E)=k6_algstr_0(A, E, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_group_17, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_group_3(B, A) & m1_group_2(B, A))  =>  (! [C] :  ( (v1_group_3(C, A) & m1_group_2(C, A))  =>  ~ ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (r1_struct_0(B, E) &  (r1_struct_0(C, F) & D=k6_algstr_0(A, E, F)) ) ) ) ) ) ) )  &  (k3_xboole_0(u1_struct_0(B), u1_struct_0(C))=k6_domain_1(u1_struct_0(A), k1_group_1(A)) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k2_group_7(k2_tarski(1, 2), k10_finseq_1(B, C))), u1_struct_0(A)) &  (v1_group_6(D, k2_group_7(k2_tarski(1, 2), k10_finseq_1(B, C)), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(k2_tarski(1, 2), k10_finseq_1(B, C))), u1_struct_0(A))))) ) )  =>  ~ ( (v3_funct_2(D, u1_struct_0(k2_group_7(k2_tarski(1, 2), k10_finseq_1(B, C))), u1_struct_0(A)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r1_struct_0(B, E) & r1_struct_0(C, F))  => k1_funct_1(D, k5_group_7(A, A, E, F))=k6_algstr_0(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_group_17, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  => k7_struct_0(k2_group_7(k2_tarski(1, 2), k10_finseq_1(A, B)))=k2_nat_1(k7_group_1(A), k7_group_1(B))) ) ) ) ).
fof(t18_group_17, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  ~ ( (k7_group_1(A)=k3_xcmplx_0(B, C) &  (r1_int_2(B, C) &  (! [D] :  ( (v8_struct_0(D) &  (v15_algstr_0(D) & m1_group_2(D, A)) )  =>  (! [E] :  ( (v8_struct_0(E) &  (v15_algstr_0(E) & m1_group_2(E, A)) )  =>  ~ ( (k7_group_1(D)=B &  (k7_group_1(E)=C &  (k3_xboole_0(u1_struct_0(D), u1_struct_0(E))=k6_domain_1(u1_struct_0(A), k1_group_1(A)) &  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k2_group_7(k2_tarski(1, 2), k10_finseq_1(D, E))), u1_struct_0(A)) &  (v1_group_6(F, k2_group_7(k2_tarski(1, 2), k10_finseq_1(D, E)), A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(k2_tarski(1, 2), k10_finseq_1(D, E))), u1_struct_0(A))))) ) )  &  (v3_funct_2(F, u1_struct_0(k2_group_7(k2_tarski(1, 2), k10_finseq_1(D, E))), u1_struct_0(A)) &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ( (r1_struct_0(D, G) & r1_struct_0(E, H))  => k1_funct_1(F, k5_group_7(A, A, G, H))=k8_group_1(A, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_group_17, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k1_tarski(B)) &  (v1_funct_1(C) &  (v1_partfun1(C, k1_tarski(B)) &  (v1_group_7(C) &  (v2_group_7(C, k1_tarski(B)) & v3_group_7(C, k1_tarski(B))) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(k2_group_7(k1_tarski(B), C))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k2_group_7(k1_tarski(B), C)))))) )  =>  ( (C=k17_funcop_1(B, A) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(k2_group_7(k1_tarski(B), C)), D, E)=k17_funcop_1(B, E)) ) )  =>  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(k2_group_7(k1_tarski(B), C))) &  (v1_group_6(D, A, k2_group_7(k1_tarski(B), C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k2_group_7(k1_tarski(B), C)))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_group_17, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k1_tarski(B)) &  (v1_funct_1(C) &  (v1_partfun1(C, k1_tarski(B)) &  (v1_group_7(C) &  (v2_group_7(C, k1_tarski(B)) & v3_group_7(C, k1_tarski(B))) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(k2_group_7(k1_tarski(B), C))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k2_group_7(k1_tarski(B), C)))))) )  =>  ( (C=k17_funcop_1(B, A) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(k2_group_7(k1_tarski(B), C)), D, E)=k17_funcop_1(B, E)) ) )  => v3_funct_2(D, u1_struct_0(A), u1_struct_0(k2_group_7(k1_tarski(B), C)))) ) ) ) ) ) ) ) ).
fof(t21_group_17, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k1_tarski(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k1_tarski(A)) &  (v1_group_7(B) &  (v2_group_7(B, k1_tarski(A)) & v3_group_7(B, k1_tarski(A))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) & l3_algstr_0(C)) ) )  =>  ~ ( (B=k17_funcop_1(A, C) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(C), u1_struct_0(k2_group_7(k1_tarski(A), B))) &  (v1_group_6(D, C, k2_group_7(k1_tarski(A), B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(k2_group_7(k1_tarski(A), B)))))) ) )  =>  ~ ( (v3_funct_2(D, u1_struct_0(C), u1_struct_0(k2_group_7(k1_tarski(A), B))) &  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) => k3_funct_2(u1_struct_0(C), u1_struct_0(k2_group_7(k1_tarski(A), B)), D, E)=k17_funcop_1(A, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_group_17, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v1_group_7(C) &  (v2_group_7(C, A) & v3_group_7(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) &  (v1_partfun1(D, B) &  (v1_group_7(D) &  (v2_group_7(D, B) & v3_group_7(D, B)) ) ) ) ) )  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v2_group_1(E) &  (v3_group_1(E) & l3_algstr_0(E)) ) )  =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v2_group_1(F) &  (v3_group_1(F) & l3_algstr_0(F)) ) )  =>  (! [G] :  (m1_subset_1(G, B) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(F)) =>  (! [I] :  ( (v1_relat_1(I) & v1_funct_1(I))  =>  ( (r2_tarski(I, u1_struct_0(k2_group_7(A, C))) &  (B=k2_xboole_0(A, k6_domain_1(B, G)) & D=k1_funct_4(C, k17_funcop_1(G, F))) )  =>  (r2_tarski(G, A) | r2_tarski(k1_funct_4(I, k17_funcop_1(G, H)), u1_struct_0(k2_group_7(B, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_group_17, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v1_group_7(C) &  (v2_group_7(C, A) & v3_group_7(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) &  (v1_partfun1(D, B) &  (v1_group_7(D) &  (v2_group_7(D, B) & v3_group_7(D, B)) ) ) ) ) )  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v2_group_1(E) &  (v3_group_1(E) & l3_algstr_0(E)) ) )  =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v2_group_1(F) &  (v3_group_1(F) & l3_algstr_0(F)) ) )  =>  (! [G] :  (m1_subset_1(G, B) =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(E), u1_struct_0(k2_group_7(A, C))) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E), u1_struct_0(k2_group_7(A, C)))))) )  =>  ( ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(E), u1_struct_0(k2_group_7(A, C))) &  (v1_group_6(H, E, k2_group_7(A, C)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E), u1_struct_0(k2_group_7(A, C)))))) ) )  &  (v3_funct_2(H, u1_struct_0(E), u1_struct_0(k2_group_7(A, C))) &  (B=k2_xboole_0(A, k6_domain_1(B, G)) & D=k1_funct_4(C, k17_funcop_1(G, F))) ) )  =>  (r2_tarski(G, A) |  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k2_group_7(k2_tarski(1, 2), k10_finseq_1(E, F))), u1_struct_0(k2_group_7(B, D))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(k2_tarski(1, 2), k10_finseq_1(E, F))), u1_struct_0(k2_group_7(B, D)))))) )  =>  ( (! [J] :  (m1_subset_1(J, u1_struct_0(E)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(F)) =>  (? [L] :  ( (v1_relat_1(L) & v1_funct_1(L))  &  (L=k3_funct_2(u1_struct_0(E), u1_struct_0(k2_group_7(A, C)), H, J) & k3_funct_2(u1_struct_0(k2_group_7(k2_tarski(1, 2), k10_finseq_1(E, F))), u1_struct_0(k2_group_7(B, D)), I, k5_group_7(E, F, J, K))=k1_funct_4(L, k17_funcop_1(G, K))) ) ) ) ) ) )  =>  (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k2_group_7(k2_tarski(1, 2), k10_finseq_1(E, F))), u1_struct_0(k2_group_7(B, D))) &  (v1_group_6(I, k2_group_7(k2_tarski(1, 2), k10_finseq_1(E, F)), k2_group_7(B, D)) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(k2_tarski(1, 2), k10_finseq_1(E, F))), u1_struct_0(k2_group_7(B, D)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_group_17, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v1_group_7(C) &  (v2_group_7(C, A) & v3_group_7(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) &  (v1_partfun1(D, B) &  (v1_group_7(D) &  (v2_group_7(D, B) & v3_group_7(D, B)) ) ) ) ) )  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v2_group_1(E) &  (v3_group_1(E) & l3_algstr_0(E)) ) )  =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v2_group_1(F) &  (v3_group_1(F) & l3_algstr_0(F)) ) )  =>  (! [G] :  (m1_subset_1(G, B) =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(E), u1_struct_0(k2_group_7(A, C))) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E), u1_struct_0(k2_group_7(A, C)))))) )  =>  ( ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(E), u1_struct_0(k2_group_7(A, C))) &  (v1_group_6(H, E, k2_group_7(A, C)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E), u1_struct_0(k2_group_7(A, C)))))) ) )  &  (v3_funct_2(H, u1_struct_0(E), u1_struct_0(k2_group_7(A, C))) &  (B=k2_xboole_0(A, k6_domain_1(B, G)) & D=k1_funct_4(C, k17_funcop_1(G, F))) ) )  =>  (r2_tarski(G, A) |  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k2_group_7(k2_tarski(1, 2), k10_finseq_1(E, F))), u1_struct_0(k2_group_7(B, D))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(k2_tarski(1, 2), k10_finseq_1(E, F))), u1_struct_0(k2_group_7(B, D)))))) )  =>  ( (! [J] :  (m1_subset_1(J, u1_struct_0(E)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(F)) =>  (? [L] :  ( (v1_relat_1(L) & v1_funct_1(L))  &  (L=k3_funct_2(u1_struct_0(E), u1_struct_0(k2_group_7(A, C)), H, J) & k3_funct_2(u1_struct_0(k2_group_7(k2_tarski(1, 2), k10_finseq_1(E, F))), u1_struct_0(k2_group_7(B, D)), I, k5_group_7(E, F, J, K))=k1_funct_4(L, k17_funcop_1(G, K))) ) ) ) ) ) )  => v3_funct_2(I, u1_struct_0(k2_group_7(k2_tarski(1, 2), k10_finseq_1(E, F))), u1_struct_0(k2_group_7(B, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_group_17, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k1_tarski(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k1_tarski(A)) & v1_group_7(B)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l3_algstr_0(C))  =>  (B=k17_funcop_1(A, C) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k1_tarski(A)) &  (v5_relat_1(D, u1_struct_0(C)) &  (v1_funct_1(D) & v1_partfun1(D, k1_tarski(A))) ) ) )  =>  (r2_tarski(D, u1_struct_0(k2_group_7(k1_tarski(A), B))) &  (r2_tarski(k1_funct_1(D, A), u1_struct_0(C)) & D=k17_funcop_1(A, k1_funct_1(D, A))) ) ) ) ) ) ) ) ) ) ).
fof(t26_group_17, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k1_tarski(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k1_tarski(A)) &  (v1_group_7(B) &  (v2_group_7(B, k1_tarski(A)) & v3_group_7(B, k1_tarski(A))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) & l3_algstr_0(C)) ) )  =>  ~ ( (B=k17_funcop_1(A, C) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k2_group_7(k1_tarski(A), B)), u1_struct_0(C)) &  (v1_group_6(D, k2_group_7(k1_tarski(A), B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(k1_tarski(A), B)), u1_struct_0(C))))) ) )  =>  ~ ( (v3_funct_2(D, u1_struct_0(k2_group_7(k1_tarski(A), B)), u1_struct_0(C)) &  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k1_tarski(A)) &  (v5_relat_1(E, u1_struct_0(C)) &  (v1_funct_1(E) & v1_partfun1(E, k1_tarski(A))) ) ) )  => k1_funct_1(D, E)=k1_group_17(C, k1_tarski(A), E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_group_17, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v1_group_7(C) &  (v2_group_7(C, A) & v3_group_7(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) &  (v1_partfun1(D, B) &  (v1_group_7(D) &  (v2_group_7(D, B) & v3_group_7(D, B)) ) ) ) ) )  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v2_group_1(E) &  (v3_group_1(E) & l3_algstr_0(E)) ) )  =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v2_group_1(F) &  (v3_group_1(F) & l3_algstr_0(F)) ) )  =>  (! [G] :  (m1_subset_1(G, B) =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(E), u1_struct_0(k2_group_7(A, C))) &  (v1_group_6(H, E, k2_group_7(A, C)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E), u1_struct_0(k2_group_7(A, C)))))) ) )  =>  ~ ( ( ~ (r2_tarski(G, A))  &  (B=k2_xboole_0(A, k6_domain_1(B, G)) &  (D=k1_funct_4(C, k17_funcop_1(G, F)) &  (v3_funct_2(H, u1_struct_0(E), u1_struct_0(k2_group_7(A, C))) &  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k2_group_7(k2_tarski(1, 2), k10_finseq_1(E, F))), u1_struct_0(k2_group_7(B, D))) &  (v1_group_6(I, k2_group_7(k2_tarski(1, 2), k10_finseq_1(E, F)), k2_group_7(B, D)) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(k2_tarski(1, 2), k10_finseq_1(E, F))), u1_struct_0(k2_group_7(B, D)))))) ) )  =>  ~ ( (v3_funct_2(I, u1_struct_0(k2_group_7(k2_tarski(1, 2), k10_finseq_1(E, F))), u1_struct_0(k2_group_7(B, D))) &  (! [J] :  (m1_subset_1(J, u1_struct_0(E)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(F)) =>  (? [L] :  ( (v1_relat_1(L) & v1_funct_1(L))  &  (L=k3_funct_2(u1_struct_0(E), u1_struct_0(k2_group_7(A, C)), H, J) & k3_funct_2(u1_struct_0(k2_group_7(k2_tarski(1, 2), k10_finseq_1(E, F))), u1_struct_0(k2_group_7(B, D)), I, k5_group_7(E, F, J, K))=k1_funct_4(L, k17_funcop_1(G, K))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_group_17, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v1_group_7(C) &  (v2_group_7(C, A) & v3_group_7(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) &  (v1_partfun1(D, B) &  (v1_group_7(D) &  (v2_group_7(D, B) & v3_group_7(D, B)) ) ) ) ) )  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v2_group_1(E) &  (v3_group_1(E) & l3_algstr_0(E)) ) )  =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v2_group_1(F) &  (v3_group_1(F) & l3_algstr_0(F)) ) )  =>  (! [G] :  (m1_subset_1(G, B) =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(k2_group_7(A, C)), u1_struct_0(E)) &  (v1_group_6(H, k2_group_7(A, C), E) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(A, C)), u1_struct_0(E))))) ) )  =>  ~ ( ( ~ (r2_tarski(G, A))  &  (B=k2_xboole_0(A, k6_domain_1(B, G)) &  (D=k1_funct_4(C, k17_funcop_1(G, F)) &  (v3_funct_2(H, u1_struct_0(k2_group_7(A, C)), u1_struct_0(E)) &  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k2_group_7(B, D)), u1_struct_0(k2_group_7(k2_tarski(1, 2), k10_finseq_1(E, F)))) &  (v1_group_6(I, k2_group_7(B, D), k2_group_7(k2_tarski(1, 2), k10_finseq_1(E, F))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(B, D)), u1_struct_0(k2_group_7(k2_tarski(1, 2), k10_finseq_1(E, F))))))) ) )  =>  ~ ( (v3_funct_2(I, u1_struct_0(k2_group_7(B, D)), u1_struct_0(k2_group_7(k2_tarski(1, 2), k10_finseq_1(E, F)))) &  (! [J] :  ( (v1_relat_1(J) & v1_funct_1(J))  =>  (! [K] :  (m1_subset_1(K, u1_struct_0(F)) =>  (! [L] :  (m1_subset_1(L, u1_struct_0(E)) =>  ( (L=k1_funct_1(H, J) & r1_struct_0(k2_group_7(A, C), J))  => k1_funct_1(I, k1_funct_4(J, k17_funcop_1(G, K)))=k5_group_7(E, F, L, K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_group_17, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  ( (! [D] :  (m1_subset_1(D, A) => r1_struct_0(k1_group_7(A, B, D), k1_funct_1(C, D))) )  => r2_tarski(C, u1_struct_0(k2_group_7(A, B)))) ) ) ) ) ) ) ).
fof(t30_group_17, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v1_group_7(C) &  (v2_group_7(C, A) & v3_group_7(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) &  (v1_partfun1(D, B) &  (v1_group_7(D) &  (v2_group_7(D, B) & v3_group_7(D, B)) ) ) ) ) )  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v2_group_1(E) &  (v3_group_1(E) & l3_algstr_0(E)) ) )  =>  (! [F] :  (m1_subset_1(F, B) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k2_group_7(B, D))) =>  ~ ( ( ~ (r2_tarski(F, A))  &  (B=k2_xboole_0(A, k6_domain_1(B, F)) &  (D=k1_funct_4(C, k17_funcop_1(F, E)) &  (! [H] :  ( (v1_relat_1(H) &  (v4_relat_1(H, A) &  (v1_funct_1(H) & v1_partfun1(H, A)) ) )  =>  (! [I] :  (m1_subset_1(I, u1_struct_0(E)) =>  ~ ( (r1_struct_0(k2_group_7(A, C), H) &  (G=k1_funct_4(H, k17_funcop_1(F, I)) &  (! [J] :  (m1_subset_1(J, A) => r1_struct_0(k1_group_7(A, C, J), k1_funct_1(H, J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_group_17, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(B)) =>  (C=D => k3_group_4(A, C)=k3_group_4(B, D)) ) ) ) ) ) ) ) ) ).
fof(t32_group_17, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_group_2(C, B) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v5_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v5_relat_1(E, u1_struct_0(C)) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) ) )  =>  (r8_pboole(A, D, E) => k1_group_17(B, A, D)=k1_group_17(C, A, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_group_17, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v1_finset_1(C))  =>  (! [D] :  (m1_subset_1(D, C) =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, C) &  (v5_relat_1(E, u1_struct_0(A)) &  (v1_funct_1(E) & v1_partfun1(E, C)) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, B) &  (v5_relat_1(F, u1_struct_0(A)) &  (v1_funct_1(F) & v1_partfun1(F, B)) ) ) )  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (C=k2_xboole_0(B, k6_domain_1(C, D)) & E=k1_funct_4(F, k17_funcop_1(D, G)))  =>  (r2_tarski(D, B) | k1_group_17(A, C, E)=k8_group_1(A, k1_group_17(A, B, F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_group_17, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) ) ) )  =>  ~ ( ( ~ (r1_xxreal_0(k7_group_1(A), 1))  &  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v1_funct_1(C) &  (v1_partfun1(C, B) &  (v1_group_7(C) &  (v2_group_7(C, B) &  (v3_group_7(C, B) & v4_group_7(C, B)) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k2_group_7(B, C)), u1_struct_0(A)) &  (v1_group_6(D, k2_group_7(B, C), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(B, C)), u1_struct_0(A))))) ) )  =>  ~ ( (B=k22_pre_poly(k8_newton, k13_nat_3(k7_group_1(A))) &  ( (! [E] :  (m1_subset_1(E, B) =>  ( (v15_algstr_0(k1_group_7(B, C, E)) & m1_group_2(k1_group_7(B, C, E), A))  & k7_struct_0(k1_group_7(B, C, E))=k1_funct_1(k13_nat_3(k7_group_1(A)), E)) ) )  &  ( (! [E] :  (m1_subset_1(E, B) =>  (! [F] :  (m1_subset_1(F, B) =>  ( ~ (E=F)  => k3_xboole_0(u1_struct_0(k1_group_7(B, C, E)), u1_struct_0(k1_group_7(B, C, F)))=k6_domain_1(u1_struct_0(A), k1_group_1(A))) ) ) ) )  &  (v3_funct_2(D, u1_struct_0(k2_group_7(B, C)), u1_struct_0(A)) &  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, B) &  (v5_relat_1(E, u1_struct_0(A)) &  (v1_funct_1(E) & v1_partfun1(E, B)) ) ) )  =>  ( (! [F] :  (m1_subset_1(F, B) => r1_struct_0(k1_group_7(B, C, F), k1_funct_1(E, F))) )  =>  (r1_struct_0(k2_group_7(B, C), E) & k1_funct_1(D, E)=k1_group_17(A, B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_group_17, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) ) ) )  =>  ~ ( ( ~ (r1_xxreal_0(k7_group_1(A), 1))  &  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v1_funct_1(C) &  (v1_partfun1(C, B) &  (v1_group_7(C) &  (v2_group_7(C, B) &  (v3_group_7(C, B) & v4_group_7(C, B)) ) ) ) ) ) )  =>  ~ ( (B=k22_pre_poly(k8_newton, k13_nat_3(k7_group_1(A))) &  ( (! [D] :  (m1_subset_1(D, B) =>  ( (v15_algstr_0(k1_group_7(B, C, D)) & m1_group_2(k1_group_7(B, C, D), A))  & k7_struct_0(k1_group_7(B, C, D))=k1_funct_1(k13_nat_3(k7_group_1(A)), D)) ) )  &  ( (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  (m1_subset_1(E, B) =>  ( ~ (D=E)  => k3_xboole_0(u1_struct_0(k1_group_7(B, C, D)), u1_struct_0(k1_group_7(B, C, E)))=k6_domain_1(u1_struct_0(A), k1_group_1(A))) ) ) ) )  &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, B) &  (v5_relat_1(E, u1_struct_0(A)) &  (v1_funct_1(E) & v1_partfun1(E, B)) ) ) )  &  ( (! [F] :  (m1_subset_1(F, B) => r1_struct_0(k1_group_7(B, C, F), k1_funct_1(E, F))) )  & D=k1_group_17(A, B, E)) ) ) ) )  &  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v5_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) & v1_partfun1(D, B)) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, B) &  (v5_relat_1(E, u1_struct_0(A)) &  (v1_funct_1(E) & v1_partfun1(E, B)) ) ) )  =>  ( ( (! [F] :  (m1_subset_1(F, B) => r1_struct_0(k1_group_7(B, C, F), k1_funct_1(D, F))) )  &  ( (! [F] :  (m1_subset_1(F, B) => r1_struct_0(k1_group_7(B, C, F), k1_funct_1(E, F))) )  & k1_group_17(A, B, D)=k1_group_17(A, B, E)) )  => r8_pboole(B, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_group_17, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  (v1_finset_1(B) &  (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v5_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, B)) ) ) ) ) )  => m1_subset_1(k1_group_17(A, B, C), u1_struct_0(A))) ) ).
fof(t13_group_17, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (C=a_2_0_group_17(A, B) =>  ( ~ (C=k1_xboole_0)  &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r2_tarski(D, C) & r2_tarski(E, C))  => r2_tarski(k8_group_1(A, D, E), C)) ) ) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, C) => r2_tarski(k2_group_1(A, D), C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_group_17, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (C=a_2_0_group_17(A, B) &  (! [D] :  ( (v8_struct_0(D) &  (v15_algstr_0(D) & m1_group_2(D, A)) )  =>  ~ ( (u1_struct_0(D)=C &  (v5_group_1(D) & v1_group_3(D, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_group_17, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v8_struct_0(C) & m1_group_2(C, A))  =>  (u1_struct_0(C)=a_2_0_group_17(A, B) =>  (! [D] :  ( (v7_ordinal1(D) & v1_int_2(D))  =>  ~ ( (r2_tarski(D, k22_pre_poly(k8_newton, k13_nat_3(k7_group_1(C)))) & r1_int_2(D, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_group_17, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (k7_group_1(A)=k3_xcmplx_0(B, C) &  (r1_int_2(B, C) &  (! [D] :  ( (v8_struct_0(D) &  (v15_algstr_0(D) & m1_group_2(D, A)) )  =>  (! [E] :  ( (v8_struct_0(E) &  (v15_algstr_0(E) & m1_group_2(E, A)) )  =>  ~ ( (u1_struct_0(D)=a_2_0_group_17(A, B) &  (u1_struct_0(E)=a_2_0_group_17(A, C) &  (v1_group_3(D, A) &  (v1_group_3(E, A) &  ( (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  (? [H] :  (m1_subset_1(H, u1_struct_0(A)) &  (r1_struct_0(D, G) &  (r1_struct_0(E, H) & F=k8_group_1(A, G, H)) ) ) ) ) ) ) )  & k3_xboole_0(u1_struct_0(D), u1_struct_0(E))=k6_domain_1(u1_struct_0(A), k1_group_1(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_group_17, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v2_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l3_algstr_0(B)) ) ) ) )  & v7_ordinal1(C))  =>  (r2_hidden(A, a_2_0_group_17(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & k5_group_1(B, D, C)=k1_group_1(B)) ) ) ) ) ) ).
fof(fc1_group_18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  ( ~ (v1_xboole_0(k1_group_18(A)))  & v1_finset_1(k1_group_18(A))) ) ) ).
fof(t1_group_18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) & k6_group_1(A, B)=k2_seq_4(k1_group_18(A))) ) ) ) ).
fof(t2_group_18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v15_algstr_0(B) &  (v1_group_3(B, A) & m1_group_2(B, A)) )  =>  (v5_group_1(A) => v5_group_1(k5_group_6(A, B))) ) ) ) ) ).
fof(t3_group_18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_struct_0(k5_group_4(A, k6_domain_1(u1_struct_0(A), B)), C) <=>  (? [D] :  (m1_subset_1(D, k4_ordinal1) & C=k5_group_1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t4_group_18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( (k7_group_1(k5_group_4(A, k6_domain_1(u1_struct_0(A), B)))=C & C=k2_nat_1(D, E))  => k6_group_1(A, k5_group_1(A, B, D))=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_group_18, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (r1_group_2(B, k5_group_4(B, k6_domain_1(u1_struct_0(B), C)), k5_group_4(B, k6_domain_1(u1_struct_0(B), k5_group_1(B, C, A)))) <=> k3_int_2(A, k6_group_1(B, C))=1) ) ) ) ) ) ) ).
fof(t6_group_18, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (k3_int_2(A, k6_group_1(B, C))=1 => k6_group_1(B, C)=k6_group_1(B, k5_group_1(B, C, A))) ) ) ) ) ) ) ).
fof(t7_group_18, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => r1_int_1(k6_group_1(B, C), k2_nat_1(A, k6_group_1(B, k5_group_1(B, C, A))))) ) ) ) ) ) ).
fof(t8_group_18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_struct_0(k5_group_4(A, k6_domain_1(u1_struct_0(A), B)), C) =>  (v15_algstr_0(k5_group_4(A, k6_domain_1(u1_struct_0(A), C))) & m1_group_6(k5_group_4(A, k6_domain_1(u1_struct_0(A), C)), A, k5_group_4(A, k6_domain_1(u1_struct_0(A), B)))) ) ) ) ) ) ) ) ).
fof(d2_group_18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_group_3(A)) => k2_group_18(A, B)=B) ) ) ) ).
fof(t9_group_18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_group_2(C, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (? [E] :  ( (v15_algstr_0(E) & m1_group_2(E, A))  & u1_struct_0(E)=k8_relset_1(u1_struct_0(A), u1_struct_0(B), D, u1_struct_0(C))) ) ) ) ) ) ) ) ) ) ).
fof(t10_group_18, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  ~ ( (k6_group_1(B, D)=A &  (v1_int_2(A) &  (r1_struct_0(k5_group_4(B, k6_domain_1(u1_struct_0(B), D)), C) &  ( ~ (C=k1_group_1(B))  &  ~ (r1_group_2(B, k5_group_4(B, k6_domain_1(u1_struct_0(B), C)), k5_group_4(B, k6_domain_1(u1_struct_0(B), D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_group_18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_group_3(B, A) & m1_group_2(B, A))  =>  (! [C] :  ( (v1_group_3(C, A) & m1_group_2(C, A))  =>  (k3_xboole_0(u1_struct_0(B), u1_struct_0(C))=k6_domain_1(u1_struct_0(A), k1_group_1(A)) => v2_funct_1(k2_partfun1(u1_struct_0(A), u1_struct_0(k5_group_6(A, B)), k8_group_6(A, B), u1_struct_0(C)))) ) ) ) ) ) ) ).
fof(t12_group_18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v2_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l3_algstr_0(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  => u1_struct_0(k5_group_4(B, k6_domain_1(u1_struct_0(B), k3_funct_2(u1_struct_0(A), u1_struct_0(B), D, C))))=k7_relset_1(u1_struct_0(A), u1_struct_0(B), D, u1_struct_0(k5_group_4(A, k6_domain_1(u1_struct_0(A), C))))) ) ) ) ) ) ) ) ).
fof(t13_group_18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v2_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l3_algstr_0(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  => r1_xxreal_0(k6_group_1(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), D, C)), k6_group_1(A, C))) ) ) ) ) ) ) ) ).
fof(t14_group_18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v2_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l3_algstr_0(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (v2_funct_1(D) => k6_group_1(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), D, C))=k6_group_1(A, C)) ) ) ) ) ) ) ) ) ).
fof(t15_group_18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (v1_funct_1(k2_partfun1(u1_struct_0(A), u1_struct_0(B), D, u1_struct_0(C))) &  (v1_funct_2(k2_partfun1(u1_struct_0(A), u1_struct_0(B), D, u1_struct_0(C)), u1_struct_0(C), u1_struct_0(B)) &  (v1_group_6(k2_partfun1(u1_struct_0(A), u1_struct_0(B), D, u1_struct_0(C)), C, B) & m1_subset_1(k2_partfun1(u1_struct_0(A), u1_struct_0(B), D, u1_struct_0(C)), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(B))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_group_18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v2_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l3_algstr_0(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (v2_funct_1(k2_partfun1(u1_struct_0(A), u1_struct_0(B), D, u1_struct_0(k5_group_4(A, k6_domain_1(u1_struct_0(A), C))))) => k6_group_1(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), D, C))=k6_group_1(A, C)) ) ) ) ) ) ) ) ) ).
fof(t17_group_18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (k7_group_1(A)=k1_newton(B, C) &  ( ~ (D=k1_group_1(A))  &  (! [E] :  (v7_ordinal1(E) =>  ~ (k6_group_1(A, D)=k1_newton(B, k1_nat_1(E, 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_group_18, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (C=k1_newton(A, D) =>  (r1_int_1(A, B) | k3_int_2(B, C)=1) ) ) ) ) ) ) ) ) ) ).
fof(t19_group_18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (k7_group_1(A)=k1_newton(B, C) &  (! [D] :  ( (v15_algstr_0(D) &  (v1_group_3(D, A) & m1_group_2(D, A)) )  =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( (k6_group_1(A, G)=k2_seq_4(k1_group_18(A)) &  (v8_struct_0(D) &  (v5_group_1(D) &  (k3_xboole_0(u1_struct_0(D), u1_struct_0(k5_group_4(A, k6_domain_1(u1_struct_0(A), G))))=k6_domain_1(u1_struct_0(A), k1_group_1(A)) &  ( (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (? [I] :  (m1_subset_1(I, u1_struct_0(A)) &  (? [J] :  (m1_subset_1(J, u1_struct_0(A)) &  (r1_struct_0(D, I) &  (r1_struct_0(k5_group_4(A, k6_domain_1(u1_struct_0(A), G)), J) & H=k8_group_1(A, I, J)) ) ) ) ) ) ) )  &  (k6_group_1(A, G)=k1_newton(B, E) &  (F=k6_xcmplx_0(C, E) &  (r1_xxreal_0(E, C) &  (k7_group_1(D)=k1_newton(B, F) &  (? [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(k2_group_7(k2_tarski(1, 2), k10_finseq_1(D, k5_group_4(A, k6_domain_1(u1_struct_0(A), G))))), u1_struct_0(A)) &  (v1_group_6(H, k2_group_7(k2_tarski(1, 2), k10_finseq_1(D, k5_group_4(A, k6_domain_1(u1_struct_0(A), G)))), A) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(k2_tarski(1, 2), k10_finseq_1(D, k5_group_4(A, k6_domain_1(u1_struct_0(A), G))))), u1_struct_0(A))))) ) )  &  (v3_funct_2(H, u1_struct_0(k2_group_7(k2_tarski(1, 2), k10_finseq_1(D, k5_group_4(A, k6_domain_1(u1_struct_0(A), G))))), u1_struct_0(A)) &  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  ( (r1_struct_0(D, I) & r1_struct_0(k5_group_4(A, k6_domain_1(u1_struct_0(A), G)), J))  => k1_funct_1(H, k5_group_7(A, A, I, J))=k8_group_1(A, I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_group_18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (k7_group_1(A)=k1_newton(B, C) &  (! [D] :  ( (v7_ordinal1(D) &  ~ (v8_ordinal1(D)) )  =>  (! [E] :  ( (v3_card_1(E, D) & m2_finseq_1(E, u1_struct_0(A)))  =>  (! [F] :  ( (v3_card_1(F, D) & m2_finseq_1(F, k4_ordinal1))  =>  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, k2_finseq_1(D)) &  (v1_funct_1(G) &  (v1_partfun1(G, k2_finseq_1(D)) &  (v1_group_7(G) &  (v2_group_7(G, k2_finseq_1(D)) &  (v3_group_7(G, k2_finseq_1(D)) & v4_group_7(G, k2_finseq_1(D))) ) ) ) ) ) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(k2_group_7(k2_finseq_1(D), G)), u1_struct_0(A)) &  (v1_group_6(H, k2_group_7(k2_finseq_1(D), G), A) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(k2_finseq_1(D), G)), u1_struct_0(A))))) ) )  =>  ~ ( ( (! [I] :  (v7_ordinal1(I) =>  ~ ( (r2_tarski(I, k2_finseq_1(D)) &  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  ~ ( (J=k1_funct_1(E, I) &  (k1_funct_1(G, I)=k5_group_4(A, k6_domain_1(u1_struct_0(A), J)) & k6_group_1(A, J)=k1_newton(B, k1_funct_1(F, I))) ) ) ) ) ) ) ) )  &  ( (! [I] :  (v7_ordinal1(I) =>  ( (r1_xxreal_0(1, I) & r1_xxreal_0(I, k6_xcmplx_0(D, 1)))  => r1_xxreal_0(k1_funct_1(F, I), k1_funct_1(F, k1_nat_1(I, 1)))) ) )  &  ( (! [I] :  (m2_subset_1(I, k4_ordinal1, k2_finseq_1(D)) =>  (! [J] :  (m2_subset_1(J, k4_ordinal1, k2_finseq_1(D)) =>  ( ~ (I=J)  => k3_xboole_0(u1_struct_0(k1_group_7(k2_finseq_1(D), G, I)), u1_struct_0(k1_group_7(k2_finseq_1(D), G, J)))=k6_domain_1(u1_struct_0(A), k1_group_1(A))) ) ) ) )  &  (v3_funct_2(H, u1_struct_0(k2_group_7(k2_finseq_1(D), G)), u1_struct_0(A)) &  (! [I] :  ( (v1_relat_1(I) &  (v4_relat_1(I, k2_finseq_1(D)) &  (v5_relat_1(I, u1_struct_0(A)) &  (v1_funct_1(I) & v1_partfun1(I, k2_finseq_1(D))) ) ) )  =>  ( (! [J] :  (m2_subset_1(J, k4_ordinal1, k2_finseq_1(D)) => r1_struct_0(k1_group_7(k2_finseq_1(D), G, J), k1_funct_1(I, J))) )  =>  (r1_struct_0(k2_group_7(k2_finseq_1(D), G), I) & k1_funct_1(H, I)=k1_group_17(A, k2_finseq_1(D), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_group_18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (k7_group_1(A)=k1_newton(B, C) &  (! [D] :  ( (v7_ordinal1(D) &  ~ (v8_ordinal1(D)) )  =>  (! [E] :  ( (v3_card_1(E, D) & m2_finseq_1(E, u1_struct_0(A)))  =>  (! [F] :  ( (v3_card_1(F, D) & m2_finseq_1(F, k4_ordinal1))  =>  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, k2_finseq_1(D)) &  (v1_funct_1(G) &  (v1_partfun1(G, k2_finseq_1(D)) &  (v1_group_7(G) &  (v2_group_7(G, k2_finseq_1(D)) &  (v3_group_7(G, k2_finseq_1(D)) & v4_group_7(G, k2_finseq_1(D))) ) ) ) ) ) )  =>  ~ ( ( (! [H] :  (v7_ordinal1(H) =>  ~ ( (r2_tarski(H, k2_finseq_1(D)) &  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  ~ ( (I=k1_funct_1(E, H) &  (k1_funct_1(G, H)=k5_group_4(A, k6_domain_1(u1_struct_0(A), I)) & k6_group_1(A, I)=k1_newton(B, k1_funct_1(F, H))) ) ) ) ) ) ) ) )  &  ( (! [H] :  (v7_ordinal1(H) =>  ( (r1_xxreal_0(1, H) & r1_xxreal_0(H, k6_xcmplx_0(D, 1)))  => r1_xxreal_0(k1_funct_1(F, H), k1_funct_1(F, k1_nat_1(H, 1)))) ) )  &  ( (! [H] :  (m2_subset_1(H, k4_ordinal1, k2_finseq_1(D)) =>  (! [I] :  (m2_subset_1(I, k4_ordinal1, k2_finseq_1(D)) =>  ( ~ (H=I)  => k3_xboole_0(u1_struct_0(k1_group_7(k2_finseq_1(D), G, H)), u1_struct_0(k1_group_7(k2_finseq_1(D), G, I)))=k6_domain_1(u1_struct_0(A), k1_group_1(A))) ) ) ) )  &  ( (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (? [I] :  ( (v1_relat_1(I) &  (v4_relat_1(I, k2_finseq_1(D)) &  (v5_relat_1(I, u1_struct_0(A)) &  (v1_funct_1(I) & v1_partfun1(I, k2_finseq_1(D))) ) ) )  &  ( (! [J] :  (m2_subset_1(J, k4_ordinal1, k2_finseq_1(D)) => r1_struct_0(k1_group_7(k2_finseq_1(D), G, J), k1_funct_1(I, J))) )  & H=k1_group_17(A, k2_finseq_1(D), I)) ) ) ) )  &  (! [H] :  ( (v1_relat_1(H) &  (v4_relat_1(H, k2_finseq_1(D)) &  (v5_relat_1(H, u1_struct_0(A)) &  (v1_funct_1(H) & v1_partfun1(H, k2_finseq_1(D))) ) ) )  =>  (! [I] :  ( (v1_relat_1(I) &  (v4_relat_1(I, k2_finseq_1(D)) &  (v5_relat_1(I, u1_struct_0(A)) &  (v1_funct_1(I) & v1_partfun1(I, k2_finseq_1(D))) ) ) )  =>  ( ( (! [J] :  (m2_subset_1(J, k4_ordinal1, k2_finseq_1(D)) => r1_struct_0(k1_group_7(k2_finseq_1(D), G, J), k1_funct_1(H, J))) )  &  ( (! [J] :  (m2_subset_1(J, k4_ordinal1, k2_finseq_1(D)) => r1_struct_0(k1_group_7(k2_finseq_1(D), G, J), k1_funct_1(I, J))) )  & k1_group_17(A, k2_finseq_1(D), H)=k1_group_17(A, k2_finseq_1(D), I)) )  => r8_pboole(k2_finseq_1(D), H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_group_18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  => m1_subset_1(k1_group_18(A), k1_zfmisc_1(k4_ordinal1))) ) ).
fof(dt_k2_group_18, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) ) )  & m1_subset_1(B, k1_group_3(A)))  =>  (v15_algstr_0(k2_group_18(A, B)) &  (v1_group_3(k2_group_18(A, B), A) & m1_group_2(k2_group_18(A, B), A)) ) ) ) ).
fof(d1_group_18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  => k1_group_18(A)=a_1_0_group_18(A)) ) ).
fof(fraenkel_a_1_0_group_18, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (r2_hidden(A, a_1_0_group_18(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(B)) & A=k6_group_1(B, C)) ) ) ) ) ).
fof(rc1_group_19, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (? [B] :  (m1_group_2(B, A) &  ( ~ (v2_struct_0(B))  &  (v1_group_1(B) &  (v2_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v11_monoid_0(B) &  (v12_monoid_0(B) &  (v13_monoid_0(B) &  (v14_monoid_0(B) &  (v15_monoid_0(B) & v16_monoid_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_group_19, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  ( ~ (v2_struct_0(k3_group_7(A, B)))  &  (v15_algstr_0(k3_group_7(A, B)) & v1_monoid_0(k3_group_7(A, B))) ) ) ) ).
fof(fc2_group_19, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  & m1_subset_1(C, u1_struct_0(k3_group_7(A, B))))  => v1_finset_1(k3_group_19(A, B, C))) ) ).
fof(rc2_group_19, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B)))) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v1_funct_2(C, A, u1_struct_0(B)) & v1_group_19(C, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(fc3_group_19, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) &  (v1_group_19(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) ) )  => v1_finset_1(k4_group_19(A, B, C))) ) ).
fof(rc3_group_19, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (? [C] :  (m1_group_19(C, A, B) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v1_partfun1(C, A) &  (v2_pralg_1(C) &  (v1_group_7(C) &  (v2_group_7(C, A) &  (v3_group_7(C, A) & v2_group_19(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_group_19, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  (! [C] :  (r2_hidden(C, A) =>  ( ~ (v2_struct_0(k1_funct_1(B, C)))  &  (v2_group_1(k1_funct_1(B, C)) &  (v3_group_1(k1_funct_1(B, C)) & l3_algstr_0(k1_funct_1(B, C))) ) ) ) ) ) ) ) ).
fof(t2_group_19, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (A=k9_xtuple_0(B) &  (! [C] :  (r2_hidden(C, A) =>  ( ~ (v2_struct_0(k1_funct_1(B, C)))  &  (v2_group_1(k1_funct_1(B, C)) &  (v3_group_1(k1_funct_1(B, C)) & l3_algstr_0(k1_funct_1(B, C))) ) ) ) ) )  =>  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(t3_group_19, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_group_7(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_group_7(A, B))) => k9_xtuple_0(C)=A) ) ) ) ) ).
fof(t5_group_19, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_group_7(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  (m1_subset_1(D, A) =>  (r1_struct_0(k2_group_7(A, B), C) => r1_struct_0(k1_group_7(A, B, D), k1_funct_1(C, D))) ) ) ) ) ) ) ) ) ).
fof(t6_group_19, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_group_2(C, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(C)) &  (v1_group_6(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C))))) ) )  =>  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_group_19, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (D=k3_group_19(A, B, C) <=>  (! [E] :  (r2_hidden(E, D) <=>  (? [F] :  ( ( ~ (v2_struct_0(F))  &  (v2_group_1(F) &  (v3_group_1(F) & l3_algstr_0(F)) ) )  &  (F=k1_funct_1(B, E) &  ( ~ (k1_funct_1(C, E)=k1_group_1(F))  & r2_hidden(E, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_group_19, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_group_7(A, B))) =>  (? [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(A)))  &  (? [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, D) &  (v1_funct_1(E) & v1_partfun1(E, D)) ) )  &  (D=k3_group_19(A, B, C) &  (C=k1_funct_4(k1_group_1(k2_group_7(A, B)), E) &  ( (! [F] :  (! [G] :  ( ( ~ (v2_struct_0(G))  &  (v2_group_1(G) &  (v3_group_1(G) & l3_algstr_0(G)) ) )  =>  ( (r2_hidden(F, k6_subset_1(A, D)) & G=k1_funct_1(B, F))  => k1_funct_1(C, F)=k1_group_1(G)) ) ) )  &  (! [F] :  (r2_hidden(F, D) => k1_funct_1(C, F)=k1_funct_1(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_group_19, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (D=k4_group_19(A, B, C) <=>  (! [E] :  (r2_hidden(E, D) <=>  ( ~ (k1_funct_1(C, E)=k1_group_1(B))  & r2_hidden(E, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_group_19, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  =>  (v1_group_19(C, A, B) <=> v1_finset_1(k4_group_19(A, B, C))) ) ) ) ) ) ).
fof(d4_group_19, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) &  (v1_group_19(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  => k5_group_19(A, B, C)=k1_group_17(B, k4_group_19(A, B, C), k17_funct_3(A, u1_struct_0(B), C, k4_group_19(A, B, C)))) ) ) ) ) ).
fof(t8_group_19, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_group_7(A, B))) =>  (r1_struct_0(k3_group_7(A, B), C) <=> v1_finset_1(k3_group_19(A, B, C))) ) ) ) ) ) ).
fof(t9_group_19, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v1_group_7(C) &  (v2_group_7(C, A) & v3_group_7(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_group_7(A, C))) =>  ( (D=E &  (! [F] :  (r2_hidden(F, A) => m1_group_2(k1_funct_1(C, F), B)) ) )  => k4_group_19(A, B, D)=k3_group_19(A, C, E)) ) ) ) ) ) ) ) ) ) ).
fof(t10_group_19, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v1_group_7(C) &  (v2_group_7(C, A) & v3_group_7(C, A)) ) ) ) ) )  =>  (! [D] :  ( (r1_struct_0(k3_group_7(A, C), D) &  (! [E] :  (r2_hidden(E, A) => m1_group_2(k1_funct_1(C, E), B)) ) )  =>  (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(B)) &  (v1_group_19(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) ) ) ) ) ) ) ) ) ).
fof(t11_group_19, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  => v1_xboole_0(k3_group_19(A, B, k1_group_1(k2_group_7(A, B))))) ) ) ) ).
fof(t12_group_19, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  =>  (r2_funct_2(A, u1_struct_0(B), C, k8_funcop_1(u1_struct_0(B), A, k1_group_1(B))) => v1_xboole_0(k4_group_19(A, B, C))) ) ) ) ) ) ) ).
fof(t13_group_19, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v1_group_7(C) &  (v2_group_7(C, A) & v3_group_7(C, A)) ) ) ) ) )  =>  ( (! [D] :  (m1_subset_1(D, A) => m1_group_2(k2_group_19(A, C, D), B)) )  => k1_group_1(k2_group_7(A, C))=k8_funcop_1(u1_struct_0(B), A, k1_group_1(B))) ) ) ) ) ) ) ).
fof(t14_group_19, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) & l3_algstr_0(C)) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(C)) &  (v1_group_19(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(C))))) ) )  =>  ( (k4_group_19(A, C, D)=k1_xboole_0 &  (! [E] :  (r2_hidden(E, A) => m1_group_2(k1_funct_1(B, E), C)) ) )  => D=k1_group_1(k2_group_7(A, B))) ) ) ) ) ) ) ) ) ).
fof(t15_group_19, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) &  (v1_group_19(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  (k4_group_19(A, B, C)=k1_xboole_0 => k5_group_19(A, B, C)=k1_group_1(B)) ) ) ) ) ) ).
fof(t16_group_19, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) &  (v1_group_19(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  (r2_funct_2(A, u1_struct_0(B), C, k8_funcop_1(u1_struct_0(B), A, k1_group_1(B))) => k5_group_19(A, B, C)=k1_group_1(B)) ) ) ) ) ) ) ).
fof(t17_group_19, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_group_7(A, B))) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_group_19(A, B, D))) =>  (C=k1_funct_7(k1_group_1(k2_group_7(A, B)), D, E) => r1_tarski(k3_group_19(A, B, C), k1_tarski(D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_group_19, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_group_7(A, B))) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_group_19(A, B, D))) =>  (C=k1_funct_7(k1_group_1(k2_group_7(A, B)), D, E) =>  (E=k1_group_1(k2_group_19(A, B, D)) | k3_group_19(A, B, C)=k1_tarski(D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_group_19, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  =>  (r2_funct_2(A, u1_struct_0(B), E, k14_funct_7(A, u1_struct_0(B), k8_funcop_1(u1_struct_0(B), A, k1_group_1(B)), C, D)) => r1_tarski(k4_group_19(A, B, E), k1_tarski(C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_group_19, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  =>  (r2_funct_2(A, u1_struct_0(B), E, k14_funct_7(A, u1_struct_0(B), k8_funcop_1(u1_struct_0(B), A, k1_group_1(B)), C, D)) =>  (D=k1_group_1(B) | k4_group_19(A, B, E)=k1_tarski(C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_group_19, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) &  (v1_group_19(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (r2_funct_2(A, u1_struct_0(B), C, k14_funct_7(A, u1_struct_0(B), k8_funcop_1(u1_struct_0(B), A, k1_group_1(B)), D, E)) => k5_group_19(A, B, C)=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_group_19, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_group_19(A, B, D))) =>  (v1_finset_1(k3_group_19(A, B, C)) => v1_finset_1(k3_group_19(A, B, k1_funct_7(C, D, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_group_19, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (v1_finset_1(k4_group_19(A, B, C)) => v1_finset_1(k4_group_19(A, B, k14_funct_7(A, u1_struct_0(B), C, D, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_group_19, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_group_19(A, B, D))) =>  (r1_struct_0(k2_group_7(A, B), C) => r1_struct_0(k2_group_7(A, B), k1_funct_7(C, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_group_19, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_group_19(A, B, D))) =>  (r1_struct_0(k3_group_7(A, B), C) => r1_struct_0(k3_group_7(A, B), k1_funct_7(C, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_group_19, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) &  (v1_group_19(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (v1_funct_1(k14_funct_7(A, u1_struct_0(B), C, D, E)) &  (v1_funct_2(k14_funct_7(A, u1_struct_0(B), C, D, E), A, u1_struct_0(B)) &  (v1_group_19(k14_funct_7(A, u1_struct_0(B), C, D, E), A, B) & m1_subset_1(k14_funct_7(A, u1_struct_0(B), C, D, E), k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_group_19, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  ( (k9_xtuple_0(D)=A & E=k1_funct_7(D, C, k1_group_1(k2_group_19(A, B, C))))  => k3_group_19(A, B, E)=k7_subset_1(A, k3_group_19(A, B, D), k1_tarski(C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_group_19, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  =>  ( (r2_hidden(C, k4_group_19(A, B, D)) & E=k1_funct_7(D, C, k1_group_1(B)))  => k4_group_19(A, B, E)=k7_subset_1(A, k4_group_19(A, B, D), k1_tarski(C))) ) ) ) ) ) ) ) ) ) ).
fof(t29_group_19, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k3_group_7(A, B))) =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  ( (r2_tarski(C, k3_group_19(A, B, D)) & E=k1_funct_7(D, C, k1_group_1(k2_group_19(A, B, C))))  => k1_card_1(k3_group_19(A, B, E))=k6_xcmplx_0(k4_card_1(k3_group_19(A, B, D)), 1)) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_group_19, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(B)) &  (v1_group_19(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  =>  ( (r2_hidden(C, k4_group_19(A, B, D)) & E=k1_funct_7(D, C, k1_group_1(B)))  => k1_card_1(k4_group_19(A, B, E))=k6_xcmplx_0(k4_card_1(k4_group_19(A, B, D)), 1)) ) ) ) ) ) ) ) ) ) ).
fof(t31_group_19, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_group_7(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_group_7(A, B))) =>  (r1_xboole_0(k3_group_19(A, B, C), k3_group_19(A, B, D)) => k1_funct_4(C, k5_relat_1(D, k3_group_19(A, B, D)))=k6_algstr_0(k2_group_7(A, B), C, D)) ) ) ) ) ) ) ) ) ).
fof(t32_group_19, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_group_7(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_group_7(A, B))) =>  (r1_xboole_0(k3_group_19(A, B, C), k3_group_19(A, B, D)) => k6_algstr_0(k2_group_7(A, B), C, D)=k6_algstr_0(k2_group_7(A, B), D, C)) ) ) ) ) ) ) ) ) ).
fof(t33_group_19, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, A) => m1_group_6(k2_group_12(A, B, C), k2_group_7(A, B), k3_group_7(A, B))) ) ) ) ) ) ).
fof(t34_group_19, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v1_group_7(C) &  (v2_group_7(C, A) & v3_group_7(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  ( (! [F] :  (m1_subset_1(F, A) =>  (? [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(k2_group_19(A, B, F)), u1_struct_0(k2_group_19(A, C, F))) &  (v1_group_6(G, k2_group_19(A, B, F), k2_group_19(A, C, F)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_19(A, B, F)), u1_struct_0(k2_group_19(A, C, F)))))) ) )  & k1_funct_1(E, F)=k1_funct_1(G, k1_funct_1(D, F))) ) ) )  => r1_tarski(k3_group_19(A, C, E), k3_group_19(A, B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_group_19, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ~ (v1_xboole_0(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  ~ (v1_xboole_0(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  ~ (v1_xboole_0(C)) ) )  =>  ( (k9_xtuple_0(A)=k9_xtuple_0(B) &  (k9_xtuple_0(B)=k9_xtuple_0(C) &  (! [D] :  (r2_hidden(D, k9_xtuple_0(C)) =>  (v1_funct_1(k1_funct_1(C, D)) &  (v1_funct_2(k1_funct_1(C, D), k1_funct_1(A, D), k1_funct_1(B, D)) & m1_subset_1(k1_funct_1(C, D), k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(A, D), k1_funct_1(B, D))))) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_card_3(A), k4_card_3(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_card_3(A), k4_card_3(B))))) )  =>  (D=k6_group_19(A, B, C) <=>  (! [E] :  (m1_subset_1(E, k4_card_3(A)) =>  (! [F] :  ~ ( (r2_hidden(F, k9_xtuple_0(C)) &  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k1_funct_1(A, F), k1_funct_1(B, F)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(A, F), k1_funct_1(B, F))))) )  =>  ~ ( (G=k1_funct_1(C, F) & k1_funct_1(k3_funct_2(k4_card_3(A), k4_card_3(B), D, E), F)=k1_funct_1(G, k1_funct_1(E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_group_19, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ~ (v1_xboole_0(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  ~ (v1_xboole_0(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  ~ (v1_xboole_0(C)) ) )  =>  ( (k9_xtuple_0(A)=k9_xtuple_0(B) &  (k9_xtuple_0(B)=k9_xtuple_0(C) &  (! [D] :  ~ ( (r2_hidden(D, k9_xtuple_0(C)) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_funct_1(A, D), k1_funct_1(B, D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(A, D), k1_funct_1(B, D))))) )  =>  ~ ( (E=k1_funct_1(C, D) & v2_funct_2(E, k1_funct_1(B, D))) ) ) ) ) ) ) ) )  => v2_funct_2(k6_group_19(A, B, C), k4_card_3(B))) ) ) ) ) ) ) ).
fof(t36_group_19, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ~ (v1_xboole_0(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  ~ (v1_xboole_0(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  ~ (v1_xboole_0(C)) ) )  =>  ( (k9_xtuple_0(A)=k9_xtuple_0(B) &  (k9_xtuple_0(B)=k9_xtuple_0(C) &  (! [D] :  ~ ( (r2_hidden(D, k9_xtuple_0(C)) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_funct_1(A, D), k1_funct_1(B, D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(A, D), k1_funct_1(B, D))))) )  =>  ~ ( (E=k1_funct_1(C, D) & v2_funct_1(E)) ) ) ) ) ) ) ) )  => v2_funct_1(k6_group_19(A, B, C))) ) ) ) ) ) ) ).
fof(t37_group_19, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ~ (v1_xboole_0(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  ~ (v1_xboole_0(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  ~ (v1_xboole_0(C)) ) )  =>  ( (k9_xtuple_0(A)=k9_xtuple_0(B) &  (k9_xtuple_0(B)=k9_xtuple_0(C) &  (! [D] :  ~ ( (r2_hidden(D, k9_xtuple_0(C)) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_funct_1(A, D), k1_funct_1(B, D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(A, D), k1_funct_1(B, D))))) )  =>  ~ ( (E=k1_funct_1(C, D) & v3_funct_2(E, k1_funct_1(A, D), k1_funct_1(B, D))) ) ) ) ) ) ) ) )  => v3_funct_2(k6_group_19(A, B, C), k4_card_3(A), k4_card_3(B))) ) ) ) ) ) ) ).
fof(t38_group_19, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v1_group_7(C) &  (v2_group_7(C, A) & v3_group_7(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  ~ (v1_xboole_0(D)) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_group_7(A, B))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_group_7(A, C))) =>  ( (A=k9_xtuple_0(D) &  (F=k1_funct_1(k6_group_19(k12_pralg_1(A, B), k12_pralg_1(A, C), D), E) &  (! [G] :  (m1_subset_1(G, A) =>  (v1_funct_1(k1_funct_1(D, G)) &  (v1_funct_2(k1_funct_1(D, G), u1_struct_0(k2_group_19(A, B, G)), u1_struct_0(k2_group_19(A, C, G))) &  (v1_group_6(k1_funct_1(D, G), k2_group_19(A, B, G), k2_group_19(A, C, G)) & m1_subset_1(k1_funct_1(D, G), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_19(A, B, G)), u1_struct_0(k2_group_19(A, C, G)))))) ) ) ) ) ) )  =>  (! [G] :  (m1_subset_1(G, A) =>  (? [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(k2_group_19(A, B, G)), u1_struct_0(k2_group_19(A, C, G))) &  (v1_group_6(H, k2_group_19(A, B, G), k2_group_19(A, C, G)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_19(A, B, G)), u1_struct_0(k2_group_19(A, C, G)))))) ) )  &  (H=k1_funct_1(D, G) & k1_funct_1(F, G)=k1_funct_1(H, k1_funct_1(E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_group_19, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v1_group_7(C) &  (v2_group_7(C, A) & v3_group_7(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  ~ (v1_xboole_0(D)) ) )  =>  ( (A=k9_xtuple_0(D) &  (! [E] :  (m1_subset_1(E, A) =>  (v1_funct_1(k1_funct_1(D, E)) &  (v1_funct_2(k1_funct_1(D, E), u1_struct_0(k2_group_19(A, B, E)), u1_struct_0(k2_group_19(A, C, E))) &  (v1_group_6(k1_funct_1(D, E), k2_group_19(A, B, E), k2_group_19(A, C, E)) & m1_subset_1(k1_funct_1(D, E), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_19(A, B, E)), u1_struct_0(k2_group_19(A, C, E)))))) ) ) ) ) )  => k7_group_19(A, B, C, D)=k6_group_19(k12_pralg_1(A, B), k12_pralg_1(A, C), D)) ) ) ) ) ) ) ) ) ).
fof(t39_group_19, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v1_group_7(C) &  (v2_group_7(C, A) & v3_group_7(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  ~ (v1_xboole_0(D)) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_group_7(A, B))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_group_7(A, C))) =>  ( (A=k9_xtuple_0(D) &  (F=k3_funct_2(u1_struct_0(k2_group_7(A, B)), u1_struct_0(k2_group_7(A, C)), k7_group_19(A, B, C, D), E) &  (! [G] :  (m1_subset_1(G, A) =>  (v1_funct_1(k1_funct_1(D, G)) &  (v1_funct_2(k1_funct_1(D, G), u1_struct_0(k2_group_19(A, B, G)), u1_struct_0(k2_group_19(A, C, G))) &  (v1_group_6(k1_funct_1(D, G), k2_group_19(A, B, G), k2_group_19(A, C, G)) & m1_subset_1(k1_funct_1(D, G), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_19(A, B, G)), u1_struct_0(k2_group_19(A, C, G)))))) ) ) ) ) ) )  =>  (! [G] :  (m1_subset_1(G, A) =>  (? [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(k2_group_19(A, B, G)), u1_struct_0(k2_group_19(A, C, G))) &  (v1_group_6(H, k2_group_19(A, B, G), k2_group_19(A, C, G)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_19(A, B, G)), u1_struct_0(k2_group_19(A, C, G)))))) ) )  &  (H=k1_funct_1(D, G) & k1_funct_1(F, G)=k1_funct_1(H, k1_funct_1(E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_group_19, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v1_group_7(C) &  (v2_group_7(C, A) & v3_group_7(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  ~ (v1_xboole_0(D)) ) )  =>  ( (A=k9_xtuple_0(D) &  (! [E] :  (m1_subset_1(E, A) =>  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k2_group_19(A, B, E)), u1_struct_0(k2_group_19(A, C, E))) &  (v1_group_6(F, k2_group_19(A, B, E), k2_group_19(A, C, E)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_19(A, B, E)), u1_struct_0(k2_group_19(A, C, E)))))) ) )  &  (F=k1_funct_1(D, E) & v3_funct_2(F, u1_struct_0(k2_group_19(A, B, E)), u1_struct_0(k2_group_19(A, C, E)))) ) ) ) ) )  => v3_funct_2(k7_group_19(A, B, C, D), u1_struct_0(k2_group_7(A, B)), u1_struct_0(k2_group_7(A, C)))) ) ) ) ) ) ) ) ) ).
fof(d7_group_19, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v1_group_7(C) &  (v2_group_7(C, A) & v3_group_7(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  ~ (v1_xboole_0(D)) ) )  =>  ( (A=k9_xtuple_0(D) &  (! [E] :  (m1_subset_1(E, A) =>  (v1_funct_1(k1_funct_1(D, E)) &  (v1_funct_2(k1_funct_1(D, E), u1_struct_0(k2_group_19(A, B, E)), u1_struct_0(k2_group_19(A, C, E))) &  (v1_group_6(k1_funct_1(D, E), k2_group_19(A, B, E), k2_group_19(A, C, E)) & m1_subset_1(k1_funct_1(D, E), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_19(A, B, E)), u1_struct_0(k2_group_19(A, C, E)))))) ) ) ) ) )  => k9_group_19(A, B, C, D)=k1_grsolv_1(k2_group_7(A, B), k2_group_7(A, C), k7_group_19(A, B, C, D), k3_group_7(A, B))) ) ) ) ) ) ) ) ) ).
fof(t41_group_19, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v1_group_7(C) &  (v2_group_7(C, A) & v3_group_7(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  ~ (v1_xboole_0(D)) ) )  =>  ( (A=k9_xtuple_0(D) &  (! [E] :  (m1_subset_1(E, A) =>  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k2_group_19(A, B, E)), u1_struct_0(k2_group_19(A, C, E))) &  (v1_group_6(F, k2_group_19(A, B, E), k2_group_19(A, C, E)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_19(A, B, E)), u1_struct_0(k2_group_19(A, C, E)))))) ) )  &  (F=k1_funct_1(D, E) & v3_funct_2(F, u1_struct_0(k2_group_19(A, B, E)), u1_struct_0(k2_group_19(A, C, E)))) ) ) ) ) )  => v3_funct_2(k9_group_19(A, B, C, D), u1_struct_0(k3_group_7(A, B)), u1_struct_0(k3_group_7(A, C)))) ) ) ) ) ) ) ) ) ).
fof(t42_group_19, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v1_group_7(C) &  (v2_group_7(C, A) & v3_group_7(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  ~ (v1_xboole_0(D)) ) )  =>  ( (A=k9_xtuple_0(D) &  (! [E] :  (m1_subset_1(E, A) =>  (v1_funct_1(k1_funct_1(D, E)) &  (v1_funct_2(k1_funct_1(D, E), u1_struct_0(k2_group_19(A, B, E)), u1_struct_0(k2_group_19(A, C, E))) &  (v1_group_6(k1_funct_1(D, E), k2_group_19(A, B, E), k2_group_19(A, C, E)) & m1_subset_1(k1_funct_1(D, E), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_19(A, B, E)), u1_struct_0(k2_group_19(A, C, E)))))) ) ) ) ) )  =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_group_19(A, B, E))) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(k2_group_19(A, B, E)), u1_struct_0(k2_group_19(A, C, E))) &  (v1_group_6(G, k2_group_19(A, B, E), k2_group_19(A, C, E)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_19(A, B, E)), u1_struct_0(k2_group_19(A, C, E)))))) ) )  =>  (G=k1_funct_1(D, E) => k1_funct_1(k9_group_19(A, B, C, D), k3_funct_2(u1_struct_0(k2_group_19(A, B, E)), u1_struct_0(k2_group_12(A, B, E)), k3_group_12(A, B, E), F))=k3_funct_2(u1_struct_0(k2_group_19(A, C, E)), u1_struct_0(k2_group_12(A, C, E)), k3_group_12(A, C, E), k3_funct_2(u1_struct_0(k2_group_19(A, B, E)), u1_struct_0(k2_group_19(A, C, E)), G, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_group_19, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ~ ( (r2_hidden(C, A) &  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v1_group_7(D) &  (v2_group_7(D, A) & v3_group_7(D, A)) ) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k3_group_7(A, D)), u1_struct_0(B)) &  (v1_group_6(E, k3_group_7(A, D), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_group_7(A, D)), u1_struct_0(B))))) ) )  =>  ~ ( (v3_funct_2(E, u1_struct_0(k3_group_7(A, D)), u1_struct_0(B)) &  (D=k1_funct_4(k7_funcop_1(A, k6_group_2(B)), k7_funcop_1(k1_tarski(C), B)) &  ( (! [F] :  (m1_subset_1(F, A) => k1_group_1(k2_group_19(A, D, F))=k1_group_1(B)) )  &  ( (! [F] :  (m1_subset_1(F, u1_struct_0(k3_group_7(A, D))) => k3_funct_2(u1_struct_0(k3_group_7(A, D)), u1_struct_0(B), E, F)=k1_funct_1(F, C)) )  &  (! [F] :  (m1_subset_1(F, u1_struct_0(k3_group_7(A, D))) =>  (? [G] :  ( (v1_finset_1(G) & m1_subset_1(G, k1_zfmisc_1(A)))  &  (? [H] :  ( (v1_relat_1(H) &  (v4_relat_1(H, G) &  (v1_funct_1(H) & v1_partfun1(H, G)) ) )  &  (r1_tarski(G, k1_tarski(C)) &  (G=k3_group_19(A, D, F) &  ( (k3_group_19(A, D, F)=k1_xboole_0 | k3_group_19(A, D, F)=k1_tarski(C))  &  (F=k1_funct_4(k1_group_1(k2_group_7(A, D)), H) &  ( (! [I] :  (m1_subset_1(I, A) =>  (r2_tarski(I, k6_subset_1(A, G)) => k1_funct_1(F, I)=k1_group_1(k2_group_19(A, D, I))) ) )  &  (! [I] :  (r2_hidden(I, G) => k1_funct_1(F, I)=k1_funct_1(H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_group_19, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v1_group_7(C) &  (v2_group_7(C, A) & v3_group_7(C, A)) ) ) ) ) )  =>  (m1_group_19(C, A, B) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k3_group_7(A, C)), u1_struct_0(B)) &  (v1_group_6(D, k3_group_7(A, C), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_group_7(A, C)), u1_struct_0(B))))) ) )  & v3_funct_2(D, u1_struct_0(k3_group_7(A, C)), u1_struct_0(B))) ) ) ) ) ) ) ) ) ).
fof(d9_group_19, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_group_19(C, A, B) =>  (v2_group_19(C, A, B) <=>  ( (! [D] :  (m1_subset_1(D, A) => m1_group_2(k2_group_19(A, C, D), B)) )  &  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k3_group_7(A, C)), u1_struct_0(B)) &  (v1_group_6(D, k3_group_7(A, C), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_group_7(A, C)), u1_struct_0(B))))) ) )  &  (v3_funct_2(D, u1_struct_0(k3_group_7(A, C)), u1_struct_0(B)) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(B)) &  (v1_group_19(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  (r1_struct_0(k3_group_7(A, C), E) => k1_funct_1(D, E)=k5_group_19(A, B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_group_19, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  => k6_algstr_0(A, C, D)=k6_algstr_0(A, D, C)) ) ) ) )  => v5_group_1(k5_group_4(A, B))) ) ) ) ) ).
fof(t45_group_19, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(B)) =>  (C=D => k3_group_4(A, C)=k3_group_4(B, D)) ) ) ) ) ) ) ) ) ).
fof(t46_group_19, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  ( (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(C)) => k6_algstr_0(A, B, k7_partfun1(u1_struct_0(A), C, D))=k6_algstr_0(A, k7_partfun1(u1_struct_0(A), C, D), B)) ) )  => k6_algstr_0(A, B, k3_group_4(A, C))=k6_algstr_0(A, k3_group_4(A, C), B)) ) ) ) ) ) ) ).
fof(t47_group_19, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (k3_finseq_1(B)=k3_finseq_1(D) &  ( (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r2_tarski(E, k4_finseq_1(B)) & r2_tarski(F, k4_finseq_1(B)))  =>  (E=F | k6_algstr_0(A, k7_partfun1(u1_struct_0(A), C, E), k7_partfun1(u1_struct_0(A), D, F))=k6_algstr_0(A, k7_partfun1(u1_struct_0(A), D, F), k7_partfun1(u1_struct_0(A), C, E))) ) ) ) ) )  &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(B)) => k1_funct_1(B, E)=k6_algstr_0(A, k7_partfun1(u1_struct_0(A), C, E), k7_partfun1(u1_struct_0(A), D, E))) ) ) ) ) )  => k3_group_4(A, B)=k6_algstr_0(A, k3_group_4(A, C), k3_group_4(A, D))) ) ) ) ) ) ) ) ) ).
fof(t48_group_19, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  ( (! [C] :  (r2_hidden(C, k4_finseq_1(B)) => k1_funct_1(B, C)=k1_group_1(A)) )  => k3_group_4(A, B)=k1_group_1(A)) ) ) ) ) ).
fof(t49_group_19, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  ( (! [D] :  (r2_hidden(D, A) => k1_funct_1(C, D)=k1_group_1(B)) )  => k1_group_17(B, A, C)=k1_group_1(B)) ) ) ) ) ) ) ).
fof(t50_group_19, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  => m2_finseq_1(k3_relat_1(k20_finseq_1(A), C), B)) ) ) ) ) ) ).
fof(t51_group_19, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) &  (v1_group_19(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(A)))  =>  ( (r1_tarski(k4_group_19(A, B, C), D) &  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) => k6_algstr_0(B, k3_funct_2(A, u1_struct_0(B), C, E), k3_funct_2(A, u1_struct_0(B), C, F))=k6_algstr_0(B, k3_funct_2(A, u1_struct_0(B), C, F), k3_funct_2(A, u1_struct_0(B), C, E))) ) ) ) )  => k5_group_19(A, B, C)=k1_group_17(B, D, k17_funct_3(A, u1_struct_0(B), C, D))) ) ) ) ) ) ) ) ) ).
fof(t52_group_19, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) &  (v1_group_19(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(A)))  =>  ~ ( (r1_tarski(k4_group_19(A, B, C), D) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, D, u1_struct_0(B)) &  (v1_group_19(E, D, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(D, u1_struct_0(B))))) ) )  =>  ~ ( (r2_funct_2(D, u1_struct_0(B), E, k17_funct_3(A, u1_struct_0(B), C, D)) &  (k4_group_19(A, B, C)=k4_group_19(D, B, E) & k5_group_19(A, B, C)=k5_group_19(D, B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_group_19, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v1_group_7(C) &  (v2_group_7(C, A) & v3_group_7(C, A)) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k3_group_7(A, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k3_group_7(A, C))) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, u1_struct_0(B)) &  (v1_group_19(F, A, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, u1_struct_0(B)) &  (v1_group_19(G, A, B) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, A, u1_struct_0(B)) &  (v1_group_19(H, A, B) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  ( ( (! [I] :  (m1_subset_1(I, A) => m1_group_2(k2_group_19(A, C, I), B)) )  &  ( (! [I] :  (m1_subset_1(I, A) =>  (! [J] :  (m1_subset_1(J, A) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(B)) =>  (! [L] :  (m1_subset_1(L, u1_struct_0(B)) =>  ( (r1_struct_0(k2_group_19(A, C, I), K) & r1_struct_0(k2_group_19(A, C, J), L))  =>  (I=J | k6_algstr_0(B, K, L)=k6_algstr_0(B, L, K)) ) ) ) ) ) ) ) ) )  &  (D=F &  (E=G & k6_algstr_0(k3_group_7(A, C), D, E)=H) ) ) )  => k5_group_19(A, B, H)=k6_algstr_0(B, k5_group_19(A, B, F), k5_group_19(A, B, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_group_19, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v1_group_7(C) &  (v2_group_7(C, A) & v3_group_7(C, A)) ) ) ) ) )  =>  ( (v2_group_19(C, A, B) & m1_group_19(C, A, B))  <=>  ( (! [D] :  (m1_subset_1(D, A) => m1_group_2(k2_group_19(A, C, D), B)) )  &  ( (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  ( (r1_struct_0(k2_group_19(A, C, D), F) & r1_struct_0(k2_group_19(A, C, E), G))  =>  (D=E | k6_algstr_0(B, F, G)=k6_algstr_0(B, G, F)) ) ) ) ) ) ) ) ) )  &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(B)) &  (v1_group_19(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  &  (r1_struct_0(k3_group_7(A, C), E) & D=k5_group_19(A, B, E)) ) ) ) )  &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(B)) &  (v1_group_19(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(B)) &  (v1_group_19(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  ( (r1_struct_0(k3_group_7(A, C), D) &  (r1_struct_0(k3_group_7(A, C), E) & k5_group_19(A, B, D)=k5_group_19(A, B, E)) )  => r2_funct_2(A, u1_struct_0(B), D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_group_19, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => m2_finseq_1(k1_group_19(A, B), A)) ) ).
fof(redefinition_k1_group_19, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => k1_group_19(A, B)=k5_finseq_1(B)) ) ).
fof(dt_k2_group_19, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  & m1_subset_1(C, A)) )  =>  ( ~ (v2_struct_0(k2_group_19(A, B, C)))  &  (v2_group_1(k2_group_19(A, B, C)) &  (v3_group_1(k2_group_19(A, B, C)) & l3_algstr_0(k2_group_19(A, B, C))) ) ) ) ) ).
fof(redefinition_k2_group_19, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  & m1_subset_1(C, A)) )  => k2_group_19(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k3_group_19, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  &  (v1_relat_1(C) & v1_funct_1(C)) )  => m1_subset_1(k3_group_19(A, B, C), k1_zfmisc_1(A))) ) ).
fof(dt_k4_group_19, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  => m1_subset_1(k4_group_19(A, B, C), k1_zfmisc_1(A))) ) ).
fof(dt_k5_group_19, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) &  (v1_group_19(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) ) )  => m1_subset_1(k5_group_19(A, B, C), u1_struct_0(B))) ) ).
fof(dt_k6_group_19, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ~ (v1_xboole_0(A)) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  ~ (v1_xboole_0(B)) ) ) )  &  (v1_relat_1(C) &  (v1_funct_1(C) &  ~ (v1_xboole_0(C)) ) ) ) )  =>  (v1_funct_1(k6_group_19(A, B, C)) &  (v1_funct_2(k6_group_19(A, B, C), k4_card_3(A), k4_card_3(B)) & m1_subset_1(k6_group_19(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_card_3(A), k4_card_3(B))))) ) ) ) ).
fof(dt_k7_group_19, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v1_group_7(C) &  (v2_group_7(C, A) & v3_group_7(C, A)) ) ) ) ) )  &  (v1_relat_1(D) &  (v1_funct_1(D) &  ~ (v1_xboole_0(D)) ) ) ) ) )  =>  (v1_funct_1(k7_group_19(A, B, C, D)) &  (v1_funct_2(k7_group_19(A, B, C, D), u1_struct_0(k2_group_7(A, B)), u1_struct_0(k2_group_7(A, C))) &  (v1_group_6(k7_group_19(A, B, C, D), k2_group_7(A, B), k2_group_7(A, C)) & m1_subset_1(k7_group_19(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(A, B)), u1_struct_0(k2_group_7(A, C)))))) ) ) ) ) ).
fof(dt_k8_group_19, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  & m1_subset_1(C, A)) )  =>  (v15_algstr_0(k8_group_19(A, B, C)) & m1_group_6(k8_group_19(A, B, C), k2_group_7(A, B), k3_group_7(A, B))) ) ) ).
fof(redefinition_k8_group_19, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  & m1_subset_1(C, A)) )  => k8_group_19(A, B, C)=k2_group_12(A, B, C)) ) ).
fof(dt_k9_group_19, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v1_group_7(C) &  (v2_group_7(C, A) & v3_group_7(C, A)) ) ) ) ) )  &  (v1_relat_1(D) &  (v1_funct_1(D) &  ~ (v1_xboole_0(D)) ) ) ) ) )  =>  (v1_funct_1(k9_group_19(A, B, C, D)) &  (v1_funct_2(k9_group_19(A, B, C, D), u1_struct_0(k3_group_7(A, B)), u1_struct_0(k3_group_7(A, C))) &  (v1_group_6(k9_group_19(A, B, C, D), k3_group_7(A, B), k3_group_7(A, C)) & m1_subset_1(k9_group_19(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_group_7(A, B)), u1_struct_0(k3_group_7(A, C)))))) ) ) ) ) ).
fof(dt_m1_group_19, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (! [C] :  (m1_group_19(C, A, B) =>  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v1_group_7(C) &  (v2_group_7(C, A) & v3_group_7(C, A)) ) ) ) ) ) ) ) ) ) ).
fof(existence_m1_group_19, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (? [C] : m1_group_19(C, A, B)) ) ) ).
fof(cc1_group_1a, axiom,  (! [A] :  (l1_algstr_0(A) =>  (v2_group_1a(A) => v1_group_1a(A)) ) ) ).
fof(rc1_group_1a, axiom,  (? [A] :  (l1_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  (v1_algstr_0(A) &  (v3_rlvect_1(A) & v2_group_1a(A)) ) ) ) ) ).
fof(fc1_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) & l1_algstr_0(A)) )  =>  (v1_funct_1(u1_algstr_0(A)) &  (v1_funct_2(u1_algstr_0(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & v2_binop_1(u1_algstr_0(A), u1_struct_0(A))) ) ) ) ).
fof(fc2_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1a(A) & l1_algstr_0(A)) )  =>  (v1_funct_1(u1_algstr_0(A)) &  (v1_funct_2(u1_algstr_0(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & v1_setwiseo(u1_algstr_0(A), u1_struct_0(A))) ) ) ) ).
fof(fc3_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (v1_funct_1(u1_algstr_0(A)) &  (v1_funct_2(u1_algstr_0(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & v1_finseqop(u1_algstr_0(A), u1_struct_0(A))) ) ) ) ).
fof(fc4_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  ~ (v3_group_1a(k1_group_1a(A), A)) ) ) ).
fof(rc2_group_1a, axiom,  (? [A] :  (l1_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  (v1_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v1_group_1a(A) & v2_group_1a(A)) ) ) ) ) ) ) ).
fof(fc5_group_1a, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  &  (v1_xboole_0(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v1_xboole_0(k7_group_1a(A, B))) ) ).
fof(fc6_group_1a, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  ~ (v1_xboole_0(k7_group_1a(A, B))) ) ) ).
fof(cc2_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) => v3_rlvect_1(B)) ) ) ) ).
fof(rc3_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (? [B] :  (m1_group_1a(B, A) &  ( ~ (v2_struct_0(B))  &  (v1_algstr_0(B) &  (v3_rlvect_1(B) &  (v1_group_1a(B) & v2_group_1a(B)) ) ) ) ) ) ) ) ).
fof(cc3_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_group_1a(B, A) => v2_rlvect_1(B)) ) ) ) ).
fof(fc7_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (v8_struct_0(k11_group_1a(A)) & v1_algstr_0(k11_group_1a(A))) ) ) ).
fof(rc4_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (? [B] :  (m1_group_1a(B, A) &  ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v1_algstr_0(B) &  (v3_rlvect_1(B) &  (v1_group_1a(B) & v2_group_1a(B)) ) ) ) ) ) ) ) ) ).
fof(rc5_group_1a, axiom,  (? [A] :  (l1_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v1_algstr_0(A) &  (v3_rlvect_1(A) &  (v1_group_1a(A) & v2_group_1a(A)) ) ) ) ) ) ) ).
fof(cc4_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_group_1a(B, A) => v8_struct_0(B)) ) ) ) ).
fof(fc8_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  ~ (v1_xboole_0(k24_group_1a(A))) ) ) ).
fof(fc9_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (v8_struct_0(C) & m1_group_1a(C, A)) ) )  =>  (v8_struct_0(k29_group_1a(A, C, B)) & v1_algstr_0(k29_group_1a(A, C, B))) ) ) ).
fof(rc6_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (? [B] :  (m1_group_1a(B, A) &  ( ~ (v2_struct_0(B))  &  (v1_algstr_0(B) &  (v3_rlvect_1(B) &  (v1_group_1a(B) &  (v2_group_1a(B) & v5_group_1a(B, A)) ) ) ) ) ) ) ) ) ).
fof(fc10_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (v1_funct_1(k3_group_1a(A)) &  (v2_funct_1(k3_group_1a(A)) &  (v1_funct_2(k3_group_1a(A), u1_struct_0(A), u1_struct_0(A)) & v2_funct_2(k3_group_1a(A), u1_struct_0(A))) ) ) ) ) ).
fof(fc11_group_1a, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k35_group_1a(A, B)) &  (v2_funct_1(k35_group_1a(A, B)) &  (v1_funct_2(k35_group_1a(A, B), u1_struct_0(A), u1_struct_0(A)) & v2_funct_2(k35_group_1a(A, B), u1_struct_0(A))) ) ) ) ) ).
fof(fc12_group_1a, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k36_group_1a(A, B)) &  (v2_funct_1(k36_group_1a(A, B)) &  (v1_funct_2(k36_group_1a(A, B), u1_struct_0(A), u1_struct_0(A)) & v2_funct_2(k36_group_1a(A, B), u1_struct_0(A))) ) ) ) ) ).
fof(rc7_group_1a, axiom,  (? [A] :  (l1_group_1a(A) & v6_group_1a(A)) ) ).
fof(fc13_group_1a, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) )  =>  ( ~ (v2_struct_0(g1_group_1a(A, B, C)))  & v6_group_1a(g1_group_1a(A, B, C))) ) ) ).
fof(fc14_group_1a, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k1_tarski(A), k1_tarski(A)), k1_tarski(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_tarski(A), k1_tarski(A)), k1_tarski(A))))) )  & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k1_tarski(A)))))  =>  (v7_struct_0(g1_group_1a(k1_tarski(A), B, C)) & v6_group_1a(g1_group_1a(k1_tarski(A), B, C))) ) ) ).
fof(cc5_group_1a, axiom,  (! [A] :  (l1_algstr_0(A) =>  (v13_struct_0(A, 1) =>  (v13_struct_0(A, 1) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) & v2_group_1a(A)) ) ) ) ) ) ).
fof(rc8_group_1a, axiom,  (? [A] :  (l1_group_1a(A) &  ( ~ (v2_struct_0(A))  & v6_group_1a(A)) ) ) ).
fof(rc9_group_1a, axiom,  (? [A] :  (l1_group_1a(A) &  (v13_struct_0(A, 1) &  (v2_pre_topc(A) & v6_group_1a(A)) ) ) ) ).
fof(rc10_group_1a, axiom,  (? [A] :  (l1_group_1a(A) &  ( ~ (v2_struct_0(A))  &  (v7_struct_0(A) &  (v8_struct_0(A) &  (v13_struct_0(A, 1) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v1_compts_1(A) &  (v1_topgrp_1(A) &  (v1_group_1a(A) &  (v2_group_1a(A) &  (v6_group_1a(A) &  (v7_group_1a(A) & v8_group_1a(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc15_group_1a, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v8_group_1a(A) & l1_group_1a(A)) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k35_group_1a(A, B)) &  (v1_funct_2(k35_group_1a(A, B), u1_struct_0(A), u1_struct_0(A)) & v5_pre_topc(k35_group_1a(A, B), A, A)) ) ) ) ).
fof(fc16_group_1a, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v8_group_1a(A) & l1_group_1a(A)) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k36_group_1a(A, B)) &  (v1_funct_2(k36_group_1a(A, B), u1_struct_0(A), u1_struct_0(A)) & v5_pre_topc(k36_group_1a(A, B), A, A)) ) ) ) ).
fof(cc6_group_1a, axiom,  (! [A] :  (l1_group_1a(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) & v8_group_1a(A)) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v1_topgrp_1(A) & v2_group_1a(A)) ) ) ) ) ) ) ).
fof(fc17_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) &  (v8_group_1a(A) & l1_group_1a(A)) ) ) ) )  &  ( (v4_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  & m1_subset_1(C, u1_struct_0(A))) )  => v4_pre_topc(k10_group_1a(A, C, B), A)) ) ).
fof(fc18_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) &  (v8_group_1a(A) & l1_group_1a(A)) ) ) ) )  &  ( (v4_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  & m1_subset_1(C, u1_struct_0(A))) )  => v4_pre_topc(k9_group_1a(A, C, B), A)) ) ).
fof(fc19_group_1a, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) &  (v7_group_1a(A) & l1_group_1a(A)) ) ) ) )  &  (v4_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v4_pre_topc(k7_group_1a(A, B), A)) ) ).
fof(fc20_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) &  (v8_group_1a(A) & l1_group_1a(A)) ) ) ) )  &  ( (v3_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  & m1_subset_1(C, u1_struct_0(A))) )  => v3_pre_topc(k10_group_1a(A, C, B), A)) ) ).
fof(fc21_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) &  (v8_group_1a(A) & l1_group_1a(A)) ) ) ) )  &  ( (v3_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  & m1_subset_1(C, u1_struct_0(A))) )  => v3_pre_topc(k9_group_1a(A, C, B), A)) ) ).
fof(fc22_group_1a, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) &  (v7_group_1a(A) & l1_group_1a(A)) ) ) ) )  &  (v3_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v3_pre_topc(k7_group_1a(A, B), A)) ) ).
fof(fc23_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) &  (v8_group_1a(A) & l1_group_1a(A)) ) ) ) )  &  ( (v3_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => v3_pre_topc(k11_ideal_1(A, B, C), A)) ) ).
fof(fc24_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) &  (v8_group_1a(A) & l1_group_1a(A)) ) ) ) )  &  ( (v3_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => v3_pre_topc(k11_ideal_1(A, C, B), A)) ) ).
fof(fc25_group_1a, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) &  (v7_group_1a(A) & l1_group_1a(A)) ) ) ) )  &  (v1_tops_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v1_tops_1(k7_group_1a(A, B), A)) ) ).
fof(fc26_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) &  (v8_group_1a(A) & l1_group_1a(A)) ) ) ) )  &  ( (v1_tops_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  & m1_subset_1(C, u1_struct_0(A))) )  => v1_tops_1(k10_group_1a(A, C, B), A)) ) ).
fof(fc27_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) &  (v8_group_1a(A) & l1_group_1a(A)) ) ) ) )  &  ( (v1_tops_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  & m1_subset_1(C, u1_struct_0(A))) )  => v1_tops_1(k9_group_1a(A, C, B), A)) ) ).
fof(cc7_group_1a, axiom,  (! [A] :  (l1_group_1a(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) &  (v7_group_1a(A) & v8_group_1a(A)) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v9_pre_topc(A) &  (v2_group_1a(A) &  (v7_group_1a(A) & v8_group_1a(A)) ) ) ) ) ) ) ) ) ).
fof(d1_group_1a, axiom,  (! [A] :  (l1_algstr_0(A) =>  (v1_group_1a(A) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_algstr_0(A, C, B)=C & k1_algstr_0(A, B, C)=C) ) ) ) ) ) ) ) ).
fof(d2_group_1a, axiom,  (! [A] :  (l1_algstr_0(A) =>  (v2_group_1a(A) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_algstr_0(A, C, B)=C &  (k1_algstr_0(A, B, C)=C &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (k1_algstr_0(A, C, D)=B & k1_algstr_0(A, D, C)=B) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_algstr_0(A, k1_algstr_0(A, B, C), D)=k1_algstr_0(A, B, k1_algstr_0(A, C, D))) ) ) ) ) )  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_algstr_0(A, C, B)=C &  (k1_algstr_0(A, B, C)=C &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (k1_algstr_0(A, C, D)=B & k1_algstr_0(A, D, C)=B) ) ) ) ) ) ) ) ) )  |  ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) ) ) ) ) ) ).
fof(t2_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  ( ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_algstr_0(A, k1_algstr_0(A, B, C), D)=k1_algstr_0(A, B, k1_algstr_0(A, C, D))) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & k1_algstr_0(A, B, D)=C) )  &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & k1_algstr_0(A, D, B)=C) ) ) ) ) ) ) )  =>  (v3_rlvect_1(A) & v2_group_1a(A)) ) ) ) ).
fof(t3_group_1a, axiom,  (v3_rlvect_1(g1_algstr_0(k1_numbers, k9_binop_2)) & v2_group_1a(g1_algstr_0(k1_numbers, k9_binop_2))) ).
fof(d3_group_1a, axiom,  (! [A] :  (l1_algstr_0(A) =>  (v1_group_1a(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (B=k1_group_1a(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_algstr_0(A, C, B)=C & k1_algstr_0(A, B, C)=C) ) ) ) ) ) ) ) ) ).
fof(t4_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1a(A) & l1_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_algstr_0(A, C, B)=C & k1_algstr_0(A, B, C)=C) ) )  => B=k1_group_1a(A)) ) ) ) ) ).
fof(d4_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (C=k2_group_1a(A, B) <=>  (k1_algstr_0(A, B, C)=k1_group_1a(A) & k1_algstr_0(A, C, B)=k1_group_1a(A)) ) ) ) ) ) ) ) ).
fof(t5_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (k1_algstr_0(A, C, B)=k1_group_1a(A) & k1_algstr_0(A, B, C)=k1_group_1a(A))  => B=k2_group_1a(A, C)) ) ) ) ) ) ) ).
fof(t6_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (k1_algstr_0(A, D, C)=k1_algstr_0(A, D, B) | k1_algstr_0(A, C, D)=k1_algstr_0(A, B, D))  => C=B) ) ) ) ) ) ) ) ) ).
fof(t7_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (k1_algstr_0(A, C, B)=C | k1_algstr_0(A, B, C)=C)  => B=k1_group_1a(A)) ) ) ) ) ) ) ).
fof(t8_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  => k2_group_1a(A, k1_group_1a(A))=k1_group_1a(A)) ) ).
fof(t9_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k2_group_1a(A, C)=k2_group_1a(A, B) => C=B) ) ) ) ) ) ) ).
fof(t10_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k2_group_1a(A, B)=k1_group_1a(A) => B=k1_group_1a(A)) ) ) ) ) ).
fof(t11_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_algstr_0(A, C, B)=k1_group_1a(A) =>  (C=k2_group_1a(A, B) & B=k2_group_1a(A, C)) ) ) ) ) ) ) ) ).
fof(t12_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k1_algstr_0(A, D, B)=C <=> B=k1_algstr_0(A, k2_group_1a(A, D), C)) ) ) ) ) ) ) ) ) ).
fof(t13_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k1_algstr_0(A, B, D)=C <=> B=k1_algstr_0(A, C, k2_group_1a(A, D))) ) ) ) ) ) ) ) ) ).
fof(t14_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & k1_algstr_0(A, B, D)=C) ) ) ) ) ) ) ) ).
fof(t15_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & k1_algstr_0(A, D, B)=C) ) ) ) ) ) ) ) ).
fof(t16_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_group_1a(A, k1_algstr_0(A, C, B))=k1_algstr_0(A, k2_group_1a(A, B), k2_group_1a(A, C))) ) ) ) ) ) ).
fof(t17_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_algstr_0(A, B, C)=k1_algstr_0(A, C, B) <=> k2_group_1a(A, k1_algstr_0(A, B, C))=k1_algstr_0(A, k2_group_1a(A, B), k2_group_1a(A, C))) ) ) ) ) ) ) ).
fof(t18_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_algstr_0(A, B, C)=k1_algstr_0(A, C, B) <=> k1_algstr_0(A, k2_group_1a(A, B), k2_group_1a(A, C))=k1_algstr_0(A, k2_group_1a(A, C), k2_group_1a(A, B))) ) ) ) ) ) ) ).
fof(t19_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_algstr_0(A, B, C)=k1_algstr_0(A, C, B) <=> k1_algstr_0(A, B, k2_group_1a(A, C))=k1_algstr_0(A, k2_group_1a(A, C), B)) ) ) ) ) ) ) ).
fof(d5_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (B=k3_group_1a(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, C)=k2_group_1a(A, C)) ) ) ) ) ) ) ).
fof(t20_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1a(A) & l1_algstr_0(A)) )  => r3_binop_1(u1_struct_0(A), k1_group_1a(A), u1_algstr_0(A))) ) ).
fof(t21_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1a(A) & l1_algstr_0(A)) )  => k3_binop_1(u1_struct_0(A), u1_algstr_0(A))=k1_group_1a(A)) ) ).
fof(t22_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  => r1_finseqop(u1_struct_0(A), k3_group_1a(A), u1_algstr_0(A))) ) ).
fof(t23_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  => r2_funct_2(u1_struct_0(A), u1_struct_0(A), k5_finseqop(u1_struct_0(A), u1_algstr_0(A)), k3_group_1a(A))) ) ).
fof(d6_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)), u1_struct_0(A))))) )  =>  (B=k4_group_1a(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k10_nat_1(u1_struct_0(A), B, k5_numbers, C)=k1_group_1a(A) &  (! [D] :  (v7_ordinal1(D) => k10_nat_1(u1_struct_0(A), B, k1_nat_1(D, 1), C)=k1_algstr_0(A, k10_nat_1(u1_struct_0(A), B, D, C), C)) ) ) ) ) ) ) ) ) ) ).
fof(d7_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (r1_xxreal_0(k5_numbers, B) => k5_group_1a(A, B, C)=k10_nat_1(u1_struct_0(A), k4_group_1a(A), k1_int_2(B), C))  &  ( ~ (r1_xxreal_0(k5_numbers, B))  => k5_group_1a(A, B, C)=k2_group_1a(A, k10_nat_1(u1_struct_0(A), k4_group_1a(A), k1_int_2(B), C))) ) ) ) ) ) ) ) ).
fof(d8_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k5_group_1a(A, B, C)=k10_nat_1(u1_struct_0(A), k4_group_1a(A), B, C)) ) ) ) ) ) ).
fof(t24_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_group_1a(A, k5_numbers, B)=k1_group_1a(A)) ) ) ) ).
fof(t25_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_group_1a(A, 1, B)=B) ) ) ) ).
fof(t26_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_group_1a(A, 2, B)=k1_algstr_0(A, B, B)) ) ) ) ).
fof(t27_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_group_1a(A, 3, B)=k1_algstr_0(A, k1_algstr_0(A, B, B), B)) ) ) ) ).
fof(t28_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k5_group_1a(A, 2, B)=k1_group_1a(A) <=> k2_group_1a(A, B)=B) ) ) ) ) ).
fof(t29_group_1a, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_rlvect_1(B) &  (v2_group_1a(B) & l1_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (r1_xxreal_0(A, k5_numbers) => k5_group_1a(B, A, C)=k2_group_1a(B, k5_group_1a(B, k1_int_2(A), C))) ) ) ) ) ) ) ).
fof(t30_group_1a, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_rlvect_1(B) &  (v2_group_1a(B) & l1_algstr_0(B)) ) )  => k5_group_1a(B, A, k1_group_1a(B))=k1_group_1a(B)) ) ) ) ).
fof(t31_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_group_1a(A, k4_xcmplx_0(1), B)=k2_group_1a(A, B)) ) ) ) ).
fof(t32_group_1a, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v3_rlvect_1(C) &  (v2_group_1a(C) & l1_algstr_0(C)) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) => k5_group_1a(C, k2_xcmplx_0(A, B), D)=k1_algstr_0(C, k5_group_1a(C, A, D), k5_group_1a(C, B, D))) ) ) ) ) ) ) ) ).
fof(t33_group_1a, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_rlvect_1(B) &  (v2_group_1a(B) & l1_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (k5_group_1a(B, k2_xcmplx_0(A, 1), C)=k1_algstr_0(B, k5_group_1a(B, A, C), C) & k5_group_1a(B, k2_xcmplx_0(A, 1), C)=k1_algstr_0(B, C, k5_group_1a(B, A, C))) ) ) ) ) ) ) ).
fof(t34_group_1a, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_rlvect_1(B) &  (v2_group_1a(B) & l1_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k2_group_1a(B, k5_group_1a(B, A, C))=k2_group_1a(B, k5_group_1a(B, A, C))) ) ) ) ) ) ).
fof(t35_group_1a, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_rlvect_1(B) &  (v2_group_1a(B) & l1_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (k1_algstr_0(B, C, D)=k1_algstr_0(B, D, C) => k5_group_1a(B, A, k1_algstr_0(B, C, D))=k1_algstr_0(B, k5_group_1a(B, A, C), k5_group_1a(B, A, D))) ) ) ) ) ) ) ) ) ).
fof(t36_group_1a, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v3_rlvect_1(C) &  (v2_group_1a(C) & l1_algstr_0(C)) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (k1_algstr_0(C, D, E)=k1_algstr_0(C, E, D) => k1_algstr_0(C, k5_group_1a(C, A, D), k5_group_1a(C, B, E))=k1_algstr_0(C, k5_group_1a(C, B, E), k5_group_1a(C, A, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_group_1a, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_rlvect_1(B) &  (v2_group_1a(B) & l1_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (k1_algstr_0(B, C, D)=k1_algstr_0(B, D, C) => k1_algstr_0(B, C, k5_group_1a(B, A, D))=k1_algstr_0(B, k5_group_1a(B, A, D), C)) ) ) ) ) ) ) ) ) ).
fof(d9_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v3_group_1a(B, A) <=>  (! [C] :  (v7_ordinal1(C) =>  (k5_group_1a(A, C, B)=k1_group_1a(A) => C=k5_numbers) ) ) ) ) ) ) ) ).
fof(d10_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (v3_group_1a(B, A) =>  (C=k6_group_1a(A, B) <=> C=k5_numbers) )  &  ( ~ (v3_group_1a(B, A))  =>  (C=k6_group_1a(A, B) <=>  (k5_group_1a(A, C, B)=k1_group_1a(A) &  ( ~ (C=k5_numbers)  &  (! [D] :  (v7_ordinal1(D) =>  (k5_group_1a(A, D, B)=k1_group_1a(A) =>  (D=k5_numbers | r1_xxreal_0(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_group_1a(A, k6_group_1a(A, B), B)=k1_group_1a(A)) ) ) ) ).
fof(t39_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  => k6_group_1a(A, k1_group_1a(A))=1) ) ).
fof(t40_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k6_group_1a(A, B)=1 => B=k1_group_1a(A)) ) ) ) ) ).
fof(t41_group_1a, axiom,  ( ~ (v2_struct_0(g1_algstr_0(k1_numbers, k9_binop_2)))  &  (v2_rlvect_1(g1_algstr_0(k1_numbers, k9_binop_2)) &  (v3_rlvect_1(g1_algstr_0(k1_numbers, k9_binop_2)) &  (v2_group_1a(g1_algstr_0(k1_numbers, k9_binop_2)) & l1_algstr_0(g1_algstr_0(k1_numbers, k9_binop_2))) ) ) ) ).
fof(t42_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_group_1a(A, k3_rlvect_1(A, B, C))=k3_rlvect_1(A, k2_group_1a(A, B), k2_group_1a(A, C))) ) ) ) ) ) ).
fof(t43_group_1a, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v2_group_1a(B) & l1_algstr_0(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k5_group_1a(B, A, k3_rlvect_1(B, C, D))=k3_rlvect_1(B, k5_group_1a(B, A, C), k5_group_1a(B, A, D))) ) ) ) ) ) ) ) ).
fof(t44_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) ) )  =>  (v2_rlvect_1(g2_algstr_0(u1_struct_0(A), u1_algstr_0(A), k1_group_1a(A))) &  (v3_rlvect_1(g2_algstr_0(u1_struct_0(A), u1_algstr_0(A), k1_group_1a(A))) &  (v4_rlvect_1(g2_algstr_0(u1_struct_0(A), u1_algstr_0(A), k1_group_1a(A))) & v13_algstr_0(g2_algstr_0(u1_struct_0(A), u1_algstr_0(A), k1_group_1a(A)))) ) ) ) ) ).
fof(t45_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1a(A) & l1_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k10_nat_1(u1_struct_0(A), k4_group_1a(A), 1, B)=B) ) ) ) ).
fof(t46_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1a(A) & l1_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k10_nat_1(u1_struct_0(A), k4_group_1a(A), 2, B)=k1_algstr_0(A, B, B)) ) ) ) ).
fof(t47_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v1_group_1a(A) & l1_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) => k10_nat_1(u1_struct_0(A), k4_group_1a(A), D, k3_rlvect_1(A, B, C))=k3_rlvect_1(A, k10_nat_1(u1_struct_0(A), k4_group_1a(A), D, B), k10_nat_1(u1_struct_0(A), k4_group_1a(A), D, C))) ) ) ) ) ) ) ) ).
fof(d11_group_1a, axiom,  (! [A] :  (l1_algstr_0(A) =>  (! [B] :  (l1_algstr_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v4_group_1a(C, A, B) <=> k1_funct_1(C, k1_group_1a(A))=k1_group_1a(B)) ) ) ) ) ) ) ).
fof(t48_group_1a, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_rlvect_1(B) &  (v2_group_1a(B) & l1_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (r2_hidden(A, k7_group_1a(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=k2_group_1a(B, D) & r2_tarski(D, C)) ) ) ) ) ) ) ) ) ).
fof(t49_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k7_group_1a(A, k6_domain_1(u1_struct_0(A), B))=k6_domain_1(u1_struct_0(A), k2_group_1a(A, B))) ) ) ) ).
fof(t50_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k7_group_1a(A, k7_domain_1(u1_struct_0(A), B, C))=k7_domain_1(u1_struct_0(A), k2_group_1a(A, B), k2_group_1a(A, C))) ) ) ) ) ) ).
fof(t51_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  => k7_group_1a(A, k1_subset_1(u1_struct_0(A)))=k1_xboole_0) ) ).
fof(t52_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  => k7_group_1a(A, k2_subset_1(u1_struct_0(A)))=u1_struct_0(A)) ) ).
fof(t53_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ~ ( ( ~ (B=k1_xboole_0)  & k7_group_1a(A, B)=k1_xboole_0) )  &  ~ ( ( ~ (k7_group_1a(A, B)=k1_xboole_0)  & B=k1_xboole_0) ) ) ) ) ) ) ).
fof(t54_group_1a, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_algstr_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (r2_hidden(A, k11_ideal_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (A=k1_algstr_0(B, E, F) &  (r2_tarski(E, C) & r2_tarski(F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( ( ~ (B=k1_xboole_0)  &  ~ (C=k1_xboole_0) )  <=>  ~ (k11_ideal_1(A, B, C)=k1_xboole_0) ) ) ) ) ) ) ) ).
fof(t56_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_rlvect_1(A) => k11_ideal_1(A, k11_ideal_1(A, B, C), D)=k11_ideal_1(A, B, k11_ideal_1(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t57_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k7_group_1a(A, k11_ideal_1(A, B, C))=k11_ideal_1(A, k7_group_1a(A, C), k7_group_1a(A, B))) ) ) ) ) ) ).
fof(t58_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => k11_ideal_1(A, B, k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)), C, D))=k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)), k11_ideal_1(A, B, C), k11_ideal_1(A, B, D))) ) ) ) ) ) ) ) ).
fof(t59_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => k11_ideal_1(A, k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)), B, C), D)=k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)), k11_ideal_1(A, B, D), k11_ideal_1(A, C, D))) ) ) ) ) ) ) ) ).
fof(t60_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k11_ideal_1(A, B, k13_ideal_1(A, C, D)), k13_ideal_1(A, k11_ideal_1(A, B, C), k11_ideal_1(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t61_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k11_ideal_1(A, k13_ideal_1(A, B, C), D), k13_ideal_1(A, k11_ideal_1(A, B, D), k11_ideal_1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t62_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (k11_ideal_1(A, k1_subset_1(u1_struct_0(A)), B)=k1_xboole_0 & k11_ideal_1(A, B, k1_subset_1(u1_struct_0(A)))=k1_xboole_0) ) ) ) ) ).
fof(t63_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ~ (B=k1_xboole_0)  =>  (k11_ideal_1(A, k2_subset_1(u1_struct_0(A)), B)=u1_struct_0(A) & k11_ideal_1(A, B, k2_subset_1(u1_struct_0(A)))=u1_struct_0(A)) ) ) ) ) ) ).
fof(t64_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k11_ideal_1(A, k6_domain_1(u1_struct_0(A), B), k6_domain_1(u1_struct_0(A), C))=k6_domain_1(u1_struct_0(A), k1_algstr_0(A, B, C))) ) ) ) ) ) ).
fof(t65_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k11_ideal_1(A, k6_domain_1(u1_struct_0(A), B), k7_domain_1(u1_struct_0(A), C, D))=k7_domain_1(u1_struct_0(A), k1_algstr_0(A, B, C), k1_algstr_0(A, B, D))) ) ) ) ) ) ) ) ).
fof(t66_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k11_ideal_1(A, k7_domain_1(u1_struct_0(A), C, D), k6_domain_1(u1_struct_0(A), B))=k7_domain_1(u1_struct_0(A), k1_algstr_0(A, C, B), k1_algstr_0(A, D, B))) ) ) ) ) ) ) ) ).
fof(t67_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k11_ideal_1(A, k7_domain_1(u1_struct_0(A), B, E), k7_domain_1(u1_struct_0(A), C, D))=k9_domain_1(u1_struct_0(A), k1_algstr_0(A, B, C), k1_algstr_0(A, B, D), k1_algstr_0(A, E, C), k1_algstr_0(A, E, D))) ) ) ) ) ) ) ) ) ) ).
fof(t68_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k1_algstr_0(A, C, D), B)) ) ) ) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) => r2_tarski(k2_group_1a(A, C), B)) ) ) )  => k11_ideal_1(A, B, B)=B) ) ) ) ) ).
fof(t69_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) => r2_tarski(k2_group_1a(A, C), B)) ) )  => k7_group_1a(A, B)=B) ) ) ) ) ).
fof(t70_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r2_tarski(D, B) & r2_tarski(E, C))  => k1_algstr_0(A, D, E)=k1_algstr_0(A, E, D)) ) ) ) )  => k11_ideal_1(A, B, C)=k11_ideal_1(A, C, B)) ) ) ) ) ) ) ).
fof(t71_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) ) )  => k11_ideal_1(A, B, C)=k11_ideal_1(A, C, B)) ) ) ) ) ) ) ).
fof(t72_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k7_group_1a(A, k8_group_1a(A, B, C))=k8_group_1a(A, k7_group_1a(A, B), k7_group_1a(A, C))) ) ) ) ) ) ).
fof(d13_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k9_group_1a(A, B, C)=k11_ideal_1(A, k6_domain_1(u1_struct_0(A), B), C)) ) ) ) ) ) ).
fof(d14_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k10_group_1a(A, B, C)=k11_ideal_1(A, C, k6_domain_1(u1_struct_0(A), B))) ) ) ) ) ) ).
fof(t73_group_1a, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_algstr_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r2_hidden(A, k9_group_1a(B, D, C)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k1_algstr_0(B, D, E) & r2_tarski(E, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t74_group_1a, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_algstr_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r2_hidden(A, k10_group_1a(B, D, C)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k1_algstr_0(B, E, D) & r2_tarski(E, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (v3_rlvect_1(A) => k11_ideal_1(A, k9_group_1a(A, D, B), C)=k9_group_1a(A, D, k11_ideal_1(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t76_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (v3_rlvect_1(A) => k11_ideal_1(A, k10_group_1a(A, D, B), C)=k11_ideal_1(A, B, k9_group_1a(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t77_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (v3_rlvect_1(A) => k10_group_1a(A, D, k11_ideal_1(A, B, C))=k11_ideal_1(A, B, k10_group_1a(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t78_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (v3_rlvect_1(A) => k9_group_1a(A, k1_algstr_0(A, C, D), B)=k9_group_1a(A, C, k9_group_1a(A, D, B))) ) ) ) ) ) ) ) ) ).
fof(t79_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (v3_rlvect_1(A) => k10_group_1a(A, D, k9_group_1a(A, C, B))=k9_group_1a(A, C, k10_group_1a(A, D, B))) ) ) ) ) ) ) ) ) ).
fof(t80_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (v3_rlvect_1(A) => k10_group_1a(A, D, k10_group_1a(A, C, B))=k10_group_1a(A, k1_algstr_0(A, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t81_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k10_group_1a(A, B, k1_subset_1(u1_struct_0(A)))=k1_xboole_0 & k9_group_1a(A, B, k1_subset_1(u1_struct_0(A)))=k1_xboole_0) ) ) ) ) ).
fof(t82_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k10_group_1a(A, B, k2_subset_1(u1_struct_0(A)))=u1_struct_0(A) & k9_group_1a(A, B, k2_subset_1(u1_struct_0(A)))=u1_struct_0(A)) ) ) ) ) ).
fof(t83_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1a(A) & l1_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (k9_group_1a(A, k1_group_1a(A), B)=B & k10_group_1a(A, k1_group_1a(A), B)=B) ) ) ) ) ).
fof(t84_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1a(A) & l1_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) ) )  => k9_group_1a(A, B, C)=k10_group_1a(A, B, C)) ) ) ) ) ) ) ).
fof(d15_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1a(A) & l1_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1a(B) & l1_algstr_0(B)) )  =>  (m1_group_1a(B, A) <=>  (r1_tarski(u1_struct_0(B), u1_struct_0(A)) & u1_algstr_0(B)=k1_realset1(u1_algstr_0(A), u1_struct_0(B))) ) ) ) ) ) ).
fof(t85_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1a(A) & l1_algstr_0(A)) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (v8_struct_0(A) => v8_struct_0(B)) ) ) ) ) ).
fof(t86_group_1a, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1a(B) & l1_algstr_0(B)) )  =>  (! [C] :  (m1_group_1a(C, B) =>  (r1_struct_0(C, A) => r1_struct_0(B, A)) ) ) ) ) ) ).
fof(t87_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1a(A) & l1_algstr_0(A)) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => r1_struct_0(A, C)) ) ) ) ) ) ).
fof(t88_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1a(A) & l1_algstr_0(A)) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => m1_subset_1(C, u1_struct_0(A))) ) ) ) ) ) ).
fof(t89_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1a(A) & l1_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_group_1a(D, A) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(D)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(D)) =>  ( (E=B & F=C)  => k1_algstr_0(D, E, F)=k1_algstr_0(A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t90_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) => k1_group_1a(B)=k1_group_1a(A)) ) ) ) ).
fof(t91_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (! [C] :  (m1_group_1a(C, A) => k1_group_1a(B)=k1_group_1a(C)) ) ) ) ) ) ).
fof(t92_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) => r1_struct_0(B, k1_group_1a(A))) ) ) ) ).
fof(t93_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (! [C] :  (m1_group_1a(C, A) => r1_struct_0(C, k1_group_1a(B))) ) ) ) ) ) ).
fof(t94_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_1a(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (D=B => k2_group_1a(C, D)=k2_group_1a(A, B)) ) ) ) ) ) ) ) ) ).
fof(t95_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) => k3_group_1a(B)=k5_relset_1(u1_struct_0(A), u1_struct_0(A), k3_group_1a(A), u1_struct_0(B))) ) ) ) ).
fof(t96_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_group_1a(D, A) =>  ( (r1_struct_0(D, B) & r1_struct_0(D, C))  => r1_struct_0(D, k1_algstr_0(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t97_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_1a(C, A) =>  (r1_struct_0(C, B) => r1_struct_0(C, k2_group_1a(A, B))) ) ) ) ) ) ) ).
fof(t98_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( ~ (B=k1_xboole_0)  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k1_algstr_0(A, C, D), B)) ) ) ) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) => r2_tarski(k2_group_1a(A, C), B)) ) )  &  (! [C] :  ( (v1_algstr_0(C) & m1_group_1a(C, A))  =>  ~ (u1_struct_0(C)=B) ) ) ) ) ) ) ) ) ) ) ).
fof(t99_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) ) )  => v2_rlvect_1(B)) ) ) ) ) ).
fof(t100_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  => m1_group_1a(A, A)) ) ).
fof(t101_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_rlvect_1(B) &  (v2_group_1a(B) & l1_algstr_0(B)) ) )  =>  ( (m1_group_1a(A, B) & m1_group_1a(B, A))  => g1_algstr_0(u1_struct_0(A), u1_algstr_0(A))=g1_algstr_0(u1_struct_0(B), u1_algstr_0(B))) ) ) ) ) ).
fof(t102_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_rlvect_1(B) &  (v2_group_1a(B) & l1_algstr_0(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v3_rlvect_1(C) &  (v2_group_1a(C) & l1_algstr_0(C)) ) )  =>  ( (m1_group_1a(A, B) & m1_group_1a(B, C))  => m1_group_1a(A, C)) ) ) ) ) ) ) ).
fof(t103_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (! [C] :  (m1_group_1a(C, A) =>  (r1_tarski(u1_struct_0(B), u1_struct_0(C)) => m1_group_1a(B, C)) ) ) ) ) ) ) ).
fof(t104_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (! [C] :  (m1_group_1a(C, A) =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_struct_0(B, D) => r1_struct_0(C, D)) ) )  => m1_group_1a(B, C)) ) ) ) ) ) ) ).
fof(t105_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (! [C] :  (m1_group_1a(C, A) =>  (u1_struct_0(B)=u1_struct_0(C) => g1_algstr_0(u1_struct_0(B), u1_algstr_0(B))=g1_algstr_0(u1_struct_0(C), u1_algstr_0(C))) ) ) ) ) ) ) ).
fof(t106_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (! [C] :  (m1_group_1a(C, A) =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_struct_0(B, D) <=> r1_struct_0(C, D)) ) )  => g1_algstr_0(u1_struct_0(B), u1_algstr_0(B))=g1_algstr_0(u1_struct_0(C), u1_algstr_0(C))) ) ) ) ) ) ) ).
fof(d16_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_algstr_0(B) & m1_group_1a(B, A))  =>  (! [C] :  ( (v1_algstr_0(C) & m1_group_1a(C, A))  =>  (r1_group_1a(A, B, C) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_struct_0(B, D) <=> r1_struct_0(C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t107_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (r1_tarski(u1_struct_0(A), u1_struct_0(B)) => g1_algstr_0(u1_struct_0(B), u1_algstr_0(B))=g1_algstr_0(u1_struct_0(A), u1_algstr_0(A))) ) ) ) ) ).
fof(t108_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_struct_0(B, C)) )  => g1_algstr_0(u1_struct_0(B), u1_algstr_0(B))=g1_algstr_0(u1_struct_0(A), u1_algstr_0(A))) ) ) ) ) ).
fof(d17_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_algstr_0(B) & m1_group_1a(B, A))  =>  (B=k11_group_1a(A) <=> u1_struct_0(B)=k6_domain_1(u1_struct_0(A), k1_group_1a(A))) ) ) ) ) ).
fof(d18_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  => k12_group_1a(A)=g1_algstr_0(u1_struct_0(A), u1_algstr_0(A))) ) ).
fof(t109_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) => k11_group_1a(B)=k11_group_1a(A)) ) ) ) ).
fof(t110_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (! [C] :  (m1_group_1a(C, A) => k11_group_1a(B)=k11_group_1a(C)) ) ) ) ) ) ).
fof(t111_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) => m1_group_1a(k11_group_1a(A), B)) ) ) ) ).
fof(t112_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_algstr_0(A) &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_group_1a(B, A) => m1_group_1a(B, k12_group_1a(A))) ) ) ) ).
fof(t113_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_algstr_0(A) &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) ) )  => m1_group_1a(A, k12_group_1a(A))) ) ).
fof(t114_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  => v8_struct_0(k11_group_1a(A))) ) ).
fof(t115_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  => k7_struct_0(k11_group_1a(A))=1) ) ).
fof(t116_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  ( (v8_struct_0(B) &  (v1_algstr_0(B) & m1_group_1a(B, A)) )  =>  (k7_struct_0(B)=1 => r1_group_1a(A, B, k11_group_1a(A))) ) ) ) ) ).
fof(t117_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) => r1_tarski(k7_struct_0(B), k7_struct_0(A))) ) ) ) ).
fof(t118_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_group_1a(B, A) => r1_xxreal_0(k7_struct_0(B), k7_struct_0(A))) ) ) ) ).
fof(t119_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (k7_struct_0(A)=k7_struct_0(B) => g1_algstr_0(u1_struct_0(B), u1_algstr_0(B))=g1_algstr_0(u1_struct_0(A), u1_algstr_0(A))) ) ) ) ) ).
fof(d19_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) => k13_group_1a(A, B)=u1_struct_0(B)) ) ) ) ).
fof(t120_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_group_1a(D, A) =>  ( (r2_tarski(B, k13_group_1a(A, D)) & r2_tarski(C, k13_group_1a(A, D)))  => r2_tarski(k1_algstr_0(A, B, C), k13_group_1a(A, D))) ) ) ) ) ) ) ) ) ).
fof(t121_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_1a(C, A) =>  (r2_tarski(B, k13_group_1a(A, C)) => r2_tarski(k2_group_1a(A, B), k13_group_1a(A, C))) ) ) ) ) ) ) ).
fof(t122_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) => k11_ideal_1(A, k13_group_1a(A, B), k13_group_1a(A, B))=k13_group_1a(A, B)) ) ) ) ).
fof(t123_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) => k7_group_1a(A, k13_group_1a(A, B))=k13_group_1a(A, B)) ) ) ) ).
fof(t124_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (! [C] :  (m1_group_1a(C, A) =>  ( ~ ( (k11_ideal_1(A, k13_group_1a(A, B), k13_group_1a(A, C))=k11_ideal_1(A, k13_group_1a(A, C), k13_group_1a(A, B)) &  (! [D] :  ( (v1_algstr_0(D) & m1_group_1a(D, A))  =>  ~ (u1_struct_0(D)=k11_ideal_1(A, k13_group_1a(A, B), k13_group_1a(A, C))) ) ) ) )  &  ( (? [D] :  (m1_group_1a(D, A) & u1_struct_0(D)=k11_ideal_1(A, k13_group_1a(A, B), k13_group_1a(A, C))) )  => k11_ideal_1(A, k13_group_1a(A, B), k13_group_1a(A, C))=k11_ideal_1(A, k13_group_1a(A, C), k13_group_1a(A, B))) ) ) ) ) ) ) ) ).
fof(t125_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (! [C] :  (m1_group_1a(C, A) =>  ~ ( ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) ) )  &  (! [D] :  ( (v1_algstr_0(D) & m1_group_1a(D, A))  =>  ~ (u1_struct_0(D)=k11_ideal_1(A, k13_group_1a(A, B), k13_group_1a(A, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(d20_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (! [C] :  (m1_group_1a(C, A) =>  (! [D] :  ( (v1_algstr_0(D) & m1_group_1a(D, A))  =>  (D=k14_group_1a(A, B, C) <=> u1_struct_0(D)=k13_ideal_1(A, k13_group_1a(A, B), k13_group_1a(A, C))) ) ) ) ) ) ) ) ) ).
fof(t126_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (! [C] :  (m1_group_1a(C, A) =>  ( (! [D] :  (m1_group_1a(D, A) =>  (D=k14_group_1a(A, B, C) => u1_struct_0(D)=k3_xboole_0(u1_struct_0(B), u1_struct_0(C))) ) )  &  (! [D] :  ( (v1_algstr_0(D) & m1_group_1a(D, A))  =>  (u1_struct_0(D)=k3_xboole_0(u1_struct_0(B), u1_struct_0(C)) => r1_group_1a(A, D, k14_group_1a(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t127_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (! [C] :  (m1_group_1a(C, A) => k13_group_1a(A, k14_group_1a(A, B, C))=k13_ideal_1(A, k13_group_1a(A, B), k13_group_1a(A, C))) ) ) ) ) ) ).
fof(t128_group_1a, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_rlvect_1(B) &  (v2_group_1a(B) & l1_algstr_0(B)) ) )  =>  (! [C] :  (m1_group_1a(C, B) =>  (! [D] :  (m1_group_1a(D, B) =>  (r1_struct_0(k14_group_1a(B, C, D), A) <=>  (r1_struct_0(C, A) & r1_struct_0(D, A)) ) ) ) ) ) ) ) ) ).
fof(t129_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_algstr_0(B) & m1_group_1a(B, A))  => r1_group_1a(A, k14_group_1a(A, B, B), B)) ) ) ) ).
fof(t130_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (! [C] :  (m1_group_1a(C, A) =>  (! [D] :  (m1_group_1a(D, A) => r1_group_1a(A, k15_group_1a(A, k15_group_1a(A, B, C), D), k15_group_1a(A, B, k15_group_1a(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t131_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (r1_group_1a(A, k15_group_1a(A, k11_group_1a(A), B), k11_group_1a(A)) & r1_group_1a(A, k15_group_1a(A, B, k11_group_1a(A)), k11_group_1a(A))) ) ) ) ) ).
fof(t132_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_algstr_0(A) &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v1_algstr_0(B) & m1_group_1a(B, A))  =>  (r1_group_1a(A, k15_group_1a(A, B, k12_group_1a(A)), B) & r1_group_1a(A, k15_group_1a(A, k12_group_1a(A), B), B)) ) ) ) ) ).
fof(t133_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_algstr_0(A) &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) ) )  => k15_group_1a(A, k12_group_1a(A), k12_group_1a(A))=A) ) ).
fof(t134_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (! [C] :  (m1_group_1a(C, A) =>  (m1_group_1a(k15_group_1a(A, B, C), B) & m1_group_1a(k15_group_1a(A, B, C), C)) ) ) ) ) ) ) ).
fof(t135_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (! [C] :  (m1_group_1a(C, A) =>  (m1_group_1a(C, B) <=> g1_algstr_0(u1_struct_0(k15_group_1a(A, C, B)), u1_algstr_0(k15_group_1a(A, C, B)))=g1_algstr_0(u1_struct_0(C), u1_algstr_0(C))) ) ) ) ) ) ) ).
fof(t136_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (! [C] :  (m1_group_1a(C, A) =>  (! [D] :  (m1_group_1a(D, A) =>  (m1_group_1a(B, C) => m1_group_1a(k15_group_1a(A, B, D), C)) ) ) ) ) ) ) ) ) ).
fof(t137_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (! [C] :  (m1_group_1a(C, A) =>  (! [D] :  (m1_group_1a(D, A) =>  ( (m1_group_1a(B, C) & m1_group_1a(B, D))  => m1_group_1a(B, k15_group_1a(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t138_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (! [C] :  (m1_group_1a(C, A) =>  (! [D] :  (m1_group_1a(D, A) =>  (m1_group_1a(B, C) => m1_group_1a(k15_group_1a(A, B, D), k15_group_1a(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t139_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (! [C] :  (m1_group_1a(C, A) =>  ( (v8_struct_0(B) | v8_struct_0(C))  => v8_struct_0(k15_group_1a(A, B, C))) ) ) ) ) ) ) ).
fof(d21_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k16_group_1a(A, B, C)=k11_ideal_1(A, C, k13_group_1a(A, B))) ) ) ) ) ) ).
fof(d22_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k17_group_1a(A, B, C)=k11_ideal_1(A, k13_group_1a(A, B), C)) ) ) ) ) ) ).
fof(t140_group_1a, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_rlvect_1(B) &  (v2_group_1a(B) & l1_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_group_1a(D, B) =>  (r2_hidden(A, k16_group_1a(B, D, C)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (A=k1_algstr_0(B, E, F) &  (r2_tarski(E, C) & r1_struct_0(D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t141_group_1a, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_rlvect_1(B) &  (v2_group_1a(B) & l1_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_group_1a(D, B) =>  (r2_hidden(A, k17_group_1a(B, D, C)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (A=k1_algstr_0(B, E, F) &  (r1_struct_0(D, E) & r2_tarski(F, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t142_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_group_1a(D, A) => k16_group_1a(A, D, k11_ideal_1(A, B, C))=k11_ideal_1(A, B, k16_group_1a(A, D, C))) ) ) ) ) ) ) ) ).
fof(t143_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_group_1a(D, A) => k11_ideal_1(A, k16_group_1a(A, D, B), C)=k11_ideal_1(A, B, k17_group_1a(A, D, C))) ) ) ) ) ) ) ) ).
fof(t144_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_group_1a(D, A) => k11_ideal_1(A, k17_group_1a(A, D, B), C)=k17_group_1a(A, D, k11_ideal_1(A, B, C))) ) ) ) ) ) ) ) ).
fof(t145_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_group_1a(C, A) =>  (! [D] :  (m1_group_1a(D, A) => k16_group_1a(A, D, k16_group_1a(A, C, B))=k11_ideal_1(A, B, k17_group_1a(A, C, k13_group_1a(A, D)))) ) ) ) ) ) ) ) ).
fof(t146_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_group_1a(C, A) =>  (! [D] :  (m1_group_1a(D, A) => k16_group_1a(A, D, k17_group_1a(A, C, B))=k17_group_1a(A, C, k16_group_1a(A, D, B))) ) ) ) ) ) ) ) ).
fof(t147_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_group_1a(C, A) =>  (! [D] :  (m1_group_1a(D, A) => k11_ideal_1(A, k17_group_1a(A, C, k13_group_1a(A, D)), B)=k17_group_1a(A, C, k17_group_1a(A, D, B))) ) ) ) ) ) ) ) ).
fof(t148_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_group_1a(C, A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) ) )  => k16_group_1a(A, C, B)=k17_group_1a(A, C, B)) ) ) ) ) ) ) ).
fof(d23_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k18_group_1a(A, B, C)=k9_group_1a(A, C, k13_group_1a(A, B))) ) ) ) ) ) ).
fof(d24_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k19_group_1a(A, B, C)=k10_group_1a(A, C, k13_group_1a(A, B))) ) ) ) ) ) ).
fof(t149_group_1a, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_rlvect_1(B) &  (v2_group_1a(B) & l1_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_group_1a(D, B) =>  (r2_hidden(A, k18_group_1a(B, D, C)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k1_algstr_0(B, C, E) & r1_struct_0(D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t150_group_1a, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_rlvect_1(B) &  (v2_group_1a(B) & l1_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_group_1a(D, B) =>  (r2_hidden(A, k19_group_1a(B, D, C)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k1_algstr_0(B, E, C) & r1_struct_0(D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t151_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_group_1a(D, A) => k18_group_1a(A, D, k1_algstr_0(A, B, C))=k9_group_1a(A, B, k18_group_1a(A, D, C))) ) ) ) ) ) ) ) ).
fof(t152_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_group_1a(D, A) => k10_group_1a(A, C, k18_group_1a(A, D, B))=k9_group_1a(A, B, k19_group_1a(A, D, C))) ) ) ) ) ) ) ) ).
fof(t153_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_group_1a(D, A) => k10_group_1a(A, C, k19_group_1a(A, D, B))=k19_group_1a(A, D, k1_algstr_0(A, B, C))) ) ) ) ) ) ) ) ).
fof(t154_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_1a(C, A) =>  (r2_tarski(B, k18_group_1a(A, C, B)) & r2_tarski(B, k19_group_1a(A, C, B))) ) ) ) ) ) ) ).
fof(t155_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (k18_group_1a(A, B, k1_group_1a(A))=k13_group_1a(A, B) & k19_group_1a(A, B, k1_group_1a(A))=k13_group_1a(A, B)) ) ) ) ) ).
fof(t156_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k19_group_1a(A, k11_group_1a(A), B)=k6_domain_1(u1_struct_0(A), B) & k18_group_1a(A, k11_group_1a(A), B)=k6_domain_1(u1_struct_0(A), B)) ) ) ) ) ).
fof(t157_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k18_group_1a(A, k12_group_1a(A), B)=u1_struct_0(A) & k19_group_1a(A, k12_group_1a(A), B)=u1_struct_0(A)) ) ) ) ) ).
fof(t158_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_1a(C, A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) ) )  => k18_group_1a(A, C, B)=k19_group_1a(A, C, B)) ) ) ) ) ) ) ).
fof(t159_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_1a(C, A) =>  (r1_struct_0(C, B) <=> k18_group_1a(A, C, B)=k13_group_1a(A, C)) ) ) ) ) ) ) ).
fof(t160_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_group_1a(D, A) =>  (k18_group_1a(A, D, B)=k18_group_1a(A, D, C) <=> r1_struct_0(D, k1_algstr_0(A, k2_group_1a(A, C), B))) ) ) ) ) ) ) ) ) ).
fof(t161_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_group_1a(D, A) =>  (k18_group_1a(A, D, B)=k18_group_1a(A, D, C) <=>  ~ (r1_xboole_0(k18_group_1a(A, D, B), k18_group_1a(A, D, C))) ) ) ) ) ) ) ) ) ) ).
fof(t162_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_group_1a(D, A) => r1_tarski(k18_group_1a(A, D, k1_algstr_0(A, B, C)), k11_ideal_1(A, k18_group_1a(A, D, B), k18_group_1a(A, D, C)))) ) ) ) ) ) ) ) ).
fof(t163_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_1a(C, A) =>  (r1_tarski(k13_group_1a(A, C), k11_ideal_1(A, k18_group_1a(A, C, B), k18_group_1a(A, C, k2_group_1a(A, B)))) & r1_tarski(k13_group_1a(A, C), k11_ideal_1(A, k18_group_1a(A, C, k2_group_1a(A, B)), k18_group_1a(A, C, B)))) ) ) ) ) ) ) ).
fof(t164_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_1a(C, A) => r1_tarski(k18_group_1a(A, C, k5_group_1a(A, 2, B)), k11_ideal_1(A, k18_group_1a(A, C, B), k18_group_1a(A, C, B)))) ) ) ) ) ) ).
fof(t165_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_1a(C, A) =>  (r1_struct_0(C, B) <=> k19_group_1a(A, C, B)=k13_group_1a(A, C)) ) ) ) ) ) ) ).
fof(t166_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_group_1a(D, A) =>  (k19_group_1a(A, D, B)=k19_group_1a(A, D, C) <=> r1_struct_0(D, k1_algstr_0(A, C, k2_group_1a(A, B)))) ) ) ) ) ) ) ) ) ).
fof(t167_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_group_1a(D, A) =>  (k19_group_1a(A, D, B)=k19_group_1a(A, D, C) <=>  ~ (r1_xboole_0(k19_group_1a(A, D, B), k19_group_1a(A, D, C))) ) ) ) ) ) ) ) ) ) ).
fof(t168_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_group_1a(D, A) => r1_tarski(k10_group_1a(A, C, k19_group_1a(A, D, B)), k11_ideal_1(A, k19_group_1a(A, D, B), k19_group_1a(A, D, C)))) ) ) ) ) ) ) ) ).
fof(t169_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_1a(C, A) =>  (r1_tarski(k13_group_1a(A, C), k11_ideal_1(A, k19_group_1a(A, C, B), k19_group_1a(A, C, k2_group_1a(A, B)))) & r1_tarski(k13_group_1a(A, C), k11_ideal_1(A, k19_group_1a(A, C, k2_group_1a(A, B)), k19_group_1a(A, C, B)))) ) ) ) ) ) ) ).
fof(t170_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_1a(C, A) => r1_tarski(k19_group_1a(A, C, k5_group_1a(A, 2, B)), k11_ideal_1(A, k19_group_1a(A, C, B), k19_group_1a(A, C, B)))) ) ) ) ) ) ).
fof(t171_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_1a(C, A) =>  (! [D] :  (m1_group_1a(D, A) => k18_group_1a(A, k15_group_1a(A, C, D), B)=k13_ideal_1(A, k18_group_1a(A, C, B), k18_group_1a(A, D, B))) ) ) ) ) ) ) ) ).
fof(t172_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_1a(C, A) =>  (! [D] :  (m1_group_1a(D, A) => k19_group_1a(A, k15_group_1a(A, C, D), B)=k13_ideal_1(A, k19_group_1a(A, C, B), k19_group_1a(A, D, B))) ) ) ) ) ) ) ) ).
fof(t173_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_1a(C, A) =>  (? [D] :  ( (v1_algstr_0(D) & m1_group_1a(D, A))  & u1_struct_0(D)=k10_group_1a(A, k2_group_1a(A, B), k18_group_1a(A, C, B))) ) ) ) ) ) ) ) ).
fof(t174_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_group_1a(D, A) => r2_wellord2(k18_group_1a(A, D, B), k18_group_1a(A, D, C))) ) ) ) ) ) ) ) ).
fof(t175_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_group_1a(D, A) => r2_wellord2(k18_group_1a(A, D, B), k19_group_1a(A, D, C))) ) ) ) ) ) ) ) ).
fof(t176_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_group_1a(D, A) => r2_wellord2(k19_group_1a(A, D, B), k19_group_1a(A, D, C))) ) ) ) ) ) ) ) ).
fof(t177_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_1a(C, A) =>  (r2_wellord2(k13_group_1a(A, C), k18_group_1a(A, C, B)) & r2_wellord2(k13_group_1a(A, C), k19_group_1a(A, C, B))) ) ) ) ) ) ) ).
fof(t178_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_1a(C, A) =>  (k7_struct_0(C)=k1_card_1(k18_group_1a(A, C, B)) & k7_struct_0(C)=k1_card_1(k19_group_1a(A, C, B))) ) ) ) ) ) ) ).
fof(t179_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v8_struct_0(C) & m1_group_1a(C, A))  =>  (? [D] :  (v1_finset_1(D) &  (? [E] :  (v1_finset_1(E) &  (D=k18_group_1a(A, C, B) &  (E=k19_group_1a(A, C, B) &  (k7_struct_0(C)=k4_card_1(D) & k7_struct_0(C)=k4_card_1(E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d25_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (C=k20_group_1a(A, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(D, C) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) & D=k18_group_1a(A, B, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d26_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (C=k21_group_1a(A, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(D, C) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) & D=k19_group_1a(A, B, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t180_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (v8_struct_0(A) =>  (v1_finset_1(k21_group_1a(A, B)) & v1_finset_1(k20_group_1a(A, B))) ) ) ) ) ) ).
fof(t181_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (r2_tarski(k13_group_1a(A, B), k20_group_1a(A, B)) & r2_tarski(k13_group_1a(A, B), k21_group_1a(A, B))) ) ) ) ) ).
fof(t182_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) => r2_wellord2(k20_group_1a(A, B), k21_group_1a(A, B))) ) ) ) ).
fof(t183_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (k5_setfam_1(u1_struct_0(A), k20_group_1a(A, B))=u1_struct_0(A) & k5_setfam_1(u1_struct_0(A), k21_group_1a(A, B))=u1_struct_0(A)) ) ) ) ) ).
fof(t188_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (k20_group_1a(A, k12_group_1a(A))=k1_tarski(u1_struct_0(A)) & k21_group_1a(A, k12_group_1a(A))=k1_tarski(u1_struct_0(A))) ) ) ).
fof(t189_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_algstr_0(A) &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v1_algstr_0(B) & m1_group_1a(B, A))  =>  (k20_group_1a(A, B)=k1_tarski(u1_struct_0(A)) => B=A) ) ) ) ) ).
fof(t190_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_algstr_0(A) &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v1_algstr_0(B) & m1_group_1a(B, A))  =>  (k21_group_1a(A, B)=k1_tarski(u1_struct_0(A)) => B=A) ) ) ) ) ).
fof(d27_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) => k22_group_1a(A, B)=k1_card_1(k20_group_1a(A, B))) ) ) ) ).
fof(t191_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (k22_group_1a(A, B)=k1_card_1(k20_group_1a(A, B)) & k22_group_1a(A, B)=k1_card_1(k21_group_1a(A, B))) ) ) ) ) ).
fof(d28_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (v1_finset_1(k20_group_1a(A, B)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (C=k23_group_1a(A, B) <=>  (? [D] :  (v1_finset_1(D) &  (D=k20_group_1a(A, B) & C=k4_card_1(D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t192_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (v1_finset_1(k20_group_1a(A, B)) =>  ( (? [C] :  (v1_finset_1(C) &  (C=k20_group_1a(A, B) & k23_group_1a(A, B)=k4_card_1(C)) ) )  &  (? [C] :  (v1_finset_1(C) &  (C=k21_group_1a(A, B) & k23_group_1a(A, B)=k4_card_1(C)) ) ) ) ) ) ) ) ) ).
fof(t193_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_group_1a(B, A) => k7_struct_0(A)=k3_xcmplx_0(k7_struct_0(B), k23_group_1a(A, B))) ) ) ) ).
fof(t194_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_group_1a(B, A) => r1_int_1(k7_struct_0(B), k7_struct_0(A))) ) ) ) ).
fof(t195_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (! [C] :  (m1_group_1a(C, A) =>  (! [D] :  (m1_group_1a(D, C) =>  (B=D => k23_group_1a(A, B)=k2_nat_1(k23_group_1a(C, D), k23_group_1a(A, C))) ) ) ) ) ) ) ) ) ).
fof(t196_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  => k23_group_1a(A, k12_group_1a(A))=1) ) ).
fof(t197_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_algstr_0(A) &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v1_algstr_0(B) & m1_group_1a(B, A))  =>  ( (v1_finset_1(k20_group_1a(A, B)) & k23_group_1a(A, B)=1)  => B=A) ) ) ) ) ).
fof(t198_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  => k22_group_1a(A, k11_group_1a(A))=k7_struct_0(A)) ) ).
fof(t199_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) ) )  => k23_group_1a(A, k11_group_1a(A))=k7_struct_0(A)) ) ).
fof(t200_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v1_algstr_0(B) & m1_group_1a(B, A))  =>  (k23_group_1a(A, B)=k7_struct_0(A) => r1_group_1a(A, B, k11_group_1a(A))) ) ) ) ) ).
fof(t201_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_algstr_0(B) & m1_group_1a(B, A))  =>  ( (v1_finset_1(k20_group_1a(A, B)) & k22_group_1a(A, B)=k7_struct_0(A))  =>  (v8_struct_0(A) & r1_group_1a(A, B, k11_group_1a(A))) ) ) ) ) ) ).
fof(t202_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_algstr_0(A, k1_algstr_0(A, B, C), k2_group_1a(A, C))=B &  (k1_algstr_0(A, k1_algstr_0(A, B, k2_group_1a(A, C)), C)=B &  (k1_algstr_0(A, k1_algstr_0(A, k2_group_1a(A, C), C), B)=B &  (k1_algstr_0(A, k1_algstr_0(A, C, k2_group_1a(A, C)), B)=B &  (k1_algstr_0(A, B, k1_algstr_0(A, C, k2_group_1a(A, C)))=B &  (k1_algstr_0(A, B, k1_algstr_0(A, k2_group_1a(A, C), C))=B &  (k1_algstr_0(A, k2_group_1a(A, C), k1_algstr_0(A, C, B))=B & k1_algstr_0(A, C, k1_algstr_0(A, k2_group_1a(A, C), B))=B) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t203_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) ) )  <=> v1_binop_1(u1_algstr_0(A), u1_struct_0(A))) ) ) ).
fof(t204_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  => v2_rlvect_1(k11_group_1a(A))) ) ).
fof(t205_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r1_tarski(B, C) & r1_tarski(D, E))  => r1_tarski(k11_ideal_1(A, B, D), k11_ideal_1(A, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t206_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(C, D) =>  (r1_tarski(k9_group_1a(A, B, C), k9_group_1a(A, B, D)) & r1_tarski(k10_group_1a(A, B, C), k10_group_1a(A, B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t207_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_1a(C, A) =>  (! [D] :  (m1_group_1a(D, A) =>  (m1_group_1a(C, D) =>  (r1_tarski(k18_group_1a(A, C, B), k18_group_1a(A, D, B)) & r1_tarski(k19_group_1a(A, C, B), k19_group_1a(A, D, B))) ) ) ) ) ) ) ) ) ) ).
fof(t208_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_1a(C, A) => k18_group_1a(A, C, B)=k16_group_1a(A, C, k6_domain_1(u1_struct_0(A), B))) ) ) ) ) ) ).
fof(t209_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_1a(C, A) => k19_group_1a(A, C, B)=k17_group_1a(A, C, k6_domain_1(u1_struct_0(A), B))) ) ) ) ) ) ).
fof(t210_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_group_1a(D, A) => k16_group_1a(A, D, k10_group_1a(A, B, C))=k11_ideal_1(A, C, k18_group_1a(A, D, B))) ) ) ) ) ) ) ) ).
fof(t211_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_group_1a(D, A) => k11_ideal_1(A, k18_group_1a(A, D, B), C)=k9_group_1a(A, B, k17_group_1a(A, D, C))) ) ) ) ) ) ) ) ).
fof(t212_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_group_1a(D, A) => k10_group_1a(A, B, k16_group_1a(A, D, C))=k11_ideal_1(A, C, k19_group_1a(A, D, B))) ) ) ) ) ) ) ) ).
fof(t213_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_group_1a(D, A) => k11_ideal_1(A, k19_group_1a(A, D, B), C)=k17_group_1a(A, D, k9_group_1a(A, B, C))) ) ) ) ) ) ) ) ).
fof(t214_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_1a(C, A) =>  (! [D] :  (m1_group_1a(D, A) => k16_group_1a(A, D, k19_group_1a(A, C, B))=k17_group_1a(A, C, k18_group_1a(A, D, B))) ) ) ) ) ) ) ) ).
fof(d29_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (B=k24_group_1a(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  (v1_algstr_0(C) & m1_group_1a(C, A)) ) ) ) ) ) ) ).
fof(t215_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_algstr_0(A) &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) ) )  => r2_tarski(A, k24_group_1a(A))) ) ).
fof(t216_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (v8_struct_0(A) => v1_finset_1(k24_group_1a(A))) ) ) ).
fof(d30_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k25_group_1a(A, B, C)=k1_algstr_0(A, k1_algstr_0(A, k2_group_1a(A, C), B), C)) ) ) ) ) ) ).
fof(t217_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k25_group_1a(A, B, D)=k25_group_1a(A, C, D) => B=C) ) ) ) ) ) ) ) ) ).
fof(t218_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k25_group_1a(A, k1_group_1a(A), B)=k1_group_1a(A)) ) ) ) ).
fof(t219_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k25_group_1a(A, B, C)=k1_group_1a(A) => B=k1_group_1a(A)) ) ) ) ) ) ) ).
fof(t220_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k25_group_1a(A, B, k1_group_1a(A))=B) ) ) ) ).
fof(t221_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k25_group_1a(A, B, B)=B) ) ) ) ).
fof(t222_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k25_group_1a(A, B, k2_group_1a(A, B))=B & k25_group_1a(A, k2_group_1a(A, B), B)=k2_group_1a(A, B)) ) ) ) ) ).
fof(t223_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k25_group_1a(A, B, C)=B <=> k1_algstr_0(A, B, C)=k1_algstr_0(A, C, B)) ) ) ) ) ) ) ).
fof(t224_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k25_group_1a(A, k1_algstr_0(A, B, C), D)=k1_algstr_0(A, k25_group_1a(A, B, D), k25_group_1a(A, C, D))) ) ) ) ) ) ) ) ).
fof(t225_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k25_group_1a(A, k25_group_1a(A, B, C), D)=k25_group_1a(A, B, k1_algstr_0(A, C, D))) ) ) ) ) ) ) ) ).
fof(t226_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k25_group_1a(A, k25_group_1a(A, B, C), k2_group_1a(A, C))=B & k25_group_1a(A, k25_group_1a(A, B, k2_group_1a(A, C)), C)=B) ) ) ) ) ) ) ).
fof(t227_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k25_group_1a(A, k2_group_1a(A, B), C)=k2_group_1a(A, k25_group_1a(A, B, C))) ) ) ) ) ) ).
fof(t228_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) => k25_group_1a(A, k5_group_1a(A, D, B), C)=k5_group_1a(A, D, k25_group_1a(A, B, C))) ) ) ) ) ) ) ) ).
fof(t229_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_int_1(D) => k25_group_1a(A, k5_group_1a(A, D, B), C)=k5_group_1a(A, D, k25_group_1a(A, B, C))) ) ) ) ) ) ) ) ).
fof(t230_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) ) )  => k25_group_1a(A, B, C)=B) ) ) ) ) ) ) ).
fof(t231_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k25_group_1a(A, B, C)=B) ) ) )  => v2_rlvect_1(A)) ) ) ).
fof(t232_group_1a, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_rlvect_1(B) &  (v2_group_1a(B) & l1_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (r2_tarski(A, k26_group_1a(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (A=k25_group_1a(B, E, F) &  (r2_tarski(E, C) & r2_tarski(F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t233_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( ~ (k26_group_1a(A, B, C)=k1_xboole_0)  <=>  ( ~ (B=k1_xboole_0)  &  ~ (C=k1_xboole_0) ) ) ) ) ) ) ) ) ).
fof(t234_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k26_group_1a(A, B, C), k11_ideal_1(A, k11_ideal_1(A, k7_group_1a(A, C), B), C))) ) ) ) ) ) ).
fof(t235_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k26_group_1a(A, k11_ideal_1(A, B, C), D), k11_ideal_1(A, k26_group_1a(A, B, D), k26_group_1a(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t236_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => k26_group_1a(A, k26_group_1a(A, B, C), D)=k26_group_1a(A, B, k11_ideal_1(A, C, D))) ) ) ) ) ) ) ) ).
fof(t237_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k26_group_1a(A, k7_group_1a(A, B), C)=k7_group_1a(A, k26_group_1a(A, B, C))) ) ) ) ) ) ).
fof(t238_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k26_group_1a(A, k6_domain_1(u1_struct_0(A), B), k6_domain_1(u1_struct_0(A), C))=k6_domain_1(u1_struct_0(A), k25_group_1a(A, B, C))) ) ) ) ) ) ).
fof(t239_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k26_group_1a(A, k6_domain_1(u1_struct_0(A), B), k7_domain_1(u1_struct_0(A), C, D))=k7_domain_1(u1_struct_0(A), k25_group_1a(A, B, C), k25_group_1a(A, B, D))) ) ) ) ) ) ) ) ).
fof(t240_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k26_group_1a(A, k7_domain_1(u1_struct_0(A), B, C), k6_domain_1(u1_struct_0(A), D))=k7_domain_1(u1_struct_0(A), k25_group_1a(A, B, D), k25_group_1a(A, C, D))) ) ) ) ) ) ) ) ).
fof(t241_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k26_group_1a(A, k7_domain_1(u1_struct_0(A), B, C), k7_domain_1(u1_struct_0(A), D, E))=k9_domain_1(u1_struct_0(A), k25_group_1a(A, B, D), k25_group_1a(A, B, E), k25_group_1a(A, C, D), k25_group_1a(A, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(d32_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k27_group_1a(A, B, C)=k26_group_1a(A, B, k6_domain_1(u1_struct_0(A), C))) ) ) ) ) ) ).
fof(d33_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k28_group_1a(A, B, C)=k26_group_1a(A, k6_domain_1(u1_struct_0(A), C), B)) ) ) ) ) ) ).
fof(t242_group_1a, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_rlvect_1(B) &  (v2_group_1a(B) & l1_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (r2_tarski(A, k27_group_1a(B, D, C)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k25_group_1a(B, E, C) & r2_tarski(E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t243_group_1a, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_rlvect_1(B) &  (v2_group_1a(B) & l1_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (r2_tarski(A, k28_group_1a(B, D, C)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k25_group_1a(B, C, E) & r2_tarski(E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t244_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k28_group_1a(A, C, B), k11_ideal_1(A, k10_group_1a(A, B, k7_group_1a(A, C)), C))) ) ) ) ) ) ).
fof(t245_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => k27_group_1a(A, k26_group_1a(A, C, D), B)=k26_group_1a(A, C, k10_group_1a(A, B, D))) ) ) ) ) ) ) ) ).
fof(t246_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => k26_group_1a(A, k27_group_1a(A, C, B), D)=k26_group_1a(A, C, k9_group_1a(A, B, D))) ) ) ) ) ) ) ) ).
fof(t247_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => k26_group_1a(A, k28_group_1a(A, C, B), D)=k28_group_1a(A, k11_ideal_1(A, C, D), B)) ) ) ) ) ) ) ) ).
fof(t248_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => k27_group_1a(A, k27_group_1a(A, D, B), C)=k27_group_1a(A, D, k1_algstr_0(A, B, C))) ) ) ) ) ) ) ) ).
fof(t249_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => k27_group_1a(A, k28_group_1a(A, D, B), C)=k28_group_1a(A, k10_group_1a(A, C, D), B)) ) ) ) ) ) ) ) ).
fof(t250_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => k28_group_1a(A, D, k25_group_1a(A, B, C))=k28_group_1a(A, k9_group_1a(A, C, D), B)) ) ) ) ) ) ) ) ).
fof(t251_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k27_group_1a(A, C, B)=k10_group_1a(A, B, k9_group_1a(A, k2_group_1a(A, B), C))) ) ) ) ) ) ).
fof(t252_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k27_group_1a(A, k11_ideal_1(A, C, D), B), k11_ideal_1(A, k27_group_1a(A, C, B), k27_group_1a(A, D, B)))) ) ) ) ) ) ) ) ).
fof(t253_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k27_group_1a(A, B, k1_group_1a(A))=B) ) ) ) ).
fof(t254_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ~ (B=k1_xboole_0)  => k28_group_1a(A, B, k1_group_1a(A))=k6_domain_1(u1_struct_0(A), k1_group_1a(A))) ) ) ) ) ).
fof(t255_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (k27_group_1a(A, k27_group_1a(A, C, B), k2_group_1a(A, B))=C & k27_group_1a(A, k27_group_1a(A, C, k2_group_1a(A, B)), B)=C) ) ) ) ) ) ) ).
fof(t256_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) ) )  <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( ~ (C=k1_xboole_0)  => k26_group_1a(A, B, C)=B) ) ) ) ) ) ) ) ).
fof(t257_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) ) )  <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k27_group_1a(A, B, C)=B) ) ) ) ) ) ) ).
fof(t258_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) ) )  <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (B=k1_xboole_0)  => k28_group_1a(A, B, C)=k6_domain_1(u1_struct_0(A), C)) ) ) ) ) ) ) ) ).
fof(d34_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_algstr_0(D) & m1_group_1a(D, A))  =>  (D=k29_group_1a(A, B, C) <=> u1_struct_0(D)=k27_group_1a(A, k13_group_1a(A, B), C)) ) ) ) ) ) ) ) ) ).
fof(t259_group_1a, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_rlvect_1(B) &  (v2_group_1a(B) & l1_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_group_1a(D, B) =>  (r1_struct_0(k29_group_1a(B, D, C), A) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k25_group_1a(B, E, C) & r1_struct_0(D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t260_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_1a(C, A) => u1_struct_0(k29_group_1a(A, C, B))=k10_group_1a(A, B, k18_group_1a(A, C, k2_group_1a(A, B)))) ) ) ) ) ) ).
fof(t261_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_group_1a(D, A) => r1_group_1a(A, k29_group_1a(A, k29_group_1a(A, D, B), C), k29_group_1a(A, D, k1_algstr_0(A, B, C)))) ) ) ) ) ) ) ) ).
fof(t262_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_algstr_0(B) & m1_group_1a(B, A))  => r1_group_1a(A, k29_group_1a(A, B, k1_group_1a(A)), B)) ) ) ) ).
fof(t263_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_algstr_0(C) & m1_group_1a(C, A))  =>  (r1_group_1a(A, k29_group_1a(A, k29_group_1a(A, C, B), k2_group_1a(A, B)), C) & r1_group_1a(A, k29_group_1a(A, k29_group_1a(A, C, k2_group_1a(A, B)), B), C)) ) ) ) ) ) ) ).
fof(t264_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_1a(C, A) =>  (! [D] :  (m1_group_1a(D, A) => r1_group_1a(A, k29_group_1a(A, k15_group_1a(A, C, D), B), k15_group_1a(A, k29_group_1a(A, C, B), k29_group_1a(A, D, B)))) ) ) ) ) ) ) ) ).
fof(t265_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_1a(C, A) => k7_struct_0(C)=k7_struct_0(k29_group_1a(A, C, B))) ) ) ) ) ) ).
fof(t266_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_1a(C, A) =>  (v8_struct_0(C) <=> v8_struct_0(k29_group_1a(A, C, B))) ) ) ) ) ) ) ).
fof(t267_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v8_struct_0(C) & m1_group_1a(C, A))  => k7_struct_0(C)=k7_struct_0(k29_group_1a(A, C, B))) ) ) ) ) ) ).
fof(t268_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_group_1a(A, k29_group_1a(A, k11_group_1a(A), B), k11_group_1a(A))) ) ) ) ).
fof(t269_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_algstr_0(C) & m1_group_1a(C, A))  =>  (r1_group_1a(A, k29_group_1a(A, C, B), k11_group_1a(A)) => r1_group_1a(A, C, k11_group_1a(A))) ) ) ) ) ) ) ).
fof(t270_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_group_1a(A, k29_group_1a(A, k12_group_1a(A), B), k12_group_1a(A))) ) ) ) ).
fof(t271_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_algstr_0(C) & m1_group_1a(C, A))  =>  (k29_group_1a(A, C, B)=A => C=A) ) ) ) ) ) ) ).
fof(t272_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_1a(C, A) => k22_group_1a(A, C)=k22_group_1a(A, k29_group_1a(A, C, B))) ) ) ) ) ) ).
fof(t273_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_1a(C, A) =>  (v1_finset_1(k20_group_1a(A, C)) => k23_group_1a(A, C)=k23_group_1a(A, k29_group_1a(A, C, B))) ) ) ) ) ) ) ).
fof(t274_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v1_algstr_0(B) & m1_group_1a(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_group_1a(A, k29_group_1a(A, B, C), B)) ) ) ) ) ) ) ).
fof(d35_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_group_1a(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & B=k25_group_1a(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t275_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_group_1a(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & C=k25_group_1a(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t276_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r3_group_1a(A, B, C) & r3_group_1a(A, C, D))  => r3_group_1a(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t277_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (r3_group_1a(A, B, k1_group_1a(A)) | r3_group_1a(A, k1_group_1a(A), B))  => B=k1_group_1a(A)) ) ) ) ) ).
fof(d36_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k30_group_1a(A, B)=k28_group_1a(A, k13_group_1a(A, k12_group_1a(A)), B)) ) ) ) ).
fof(t279_group_1a, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_rlvect_1(B) &  (v2_group_1a(B) & l1_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (r2_tarski(A, k30_group_1a(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (D=A & r3_group_1a(B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t280_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(B, k30_group_1a(A, C)) <=> r3_group_1a(A, B, C)) ) ) ) ) ) ) ).
fof(t281_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_tarski(k25_group_1a(A, B, C), k30_group_1a(A, B))) ) ) ) ) ) ).
fof(t282_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r2_tarski(B, k30_group_1a(A, B))) ) ) ) ).
fof(t283_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(B, k30_group_1a(A, C)) => r2_tarski(C, k30_group_1a(A, B))) ) ) ) ) ) ) ).
fof(t284_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k30_group_1a(A, B)=k30_group_1a(A, C) <=>  ~ (r1_xboole_0(k30_group_1a(A, B), k30_group_1a(A, C))) ) ) ) ) ) ) ) ).
fof(t285_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k30_group_1a(A, B)=k6_domain_1(u1_struct_0(A), k1_group_1a(A)) <=> B=k1_group_1a(A)) ) ) ) ) ).
fof(t286_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k11_ideal_1(A, k30_group_1a(A, B), C)=k11_ideal_1(A, C, k30_group_1a(A, B))) ) ) ) ) ) ).
fof(d37_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r4_group_1a(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & B=k27_group_1a(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t287_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r4_group_1a(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & C=k27_group_1a(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t288_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => r4_group_1a(A, B, B)) ) ) ) ).
fof(t289_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r4_group_1a(A, B, C) => r4_group_1a(A, C, B)) ) ) ) ) ) ) ).
fof(t290_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r5_group_1a(A, B, C) & r5_group_1a(A, C, D))  => r5_group_1a(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t291_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r5_group_1a(A, k6_domain_1(u1_struct_0(A), B), k6_domain_1(u1_struct_0(A), C)) <=> r3_group_1a(A, B, C)) ) ) ) ) ) ) ).
fof(t292_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_group_1a(C, A) =>  ~ ( (r5_group_1a(A, B, k13_group_1a(A, C)) &  (! [D] :  ( (v1_algstr_0(D) & m1_group_1a(D, A))  =>  ~ (u1_struct_0(D)=B) ) ) ) ) ) ) ) ) ) ) ).
fof(t293_group_1a, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_rlvect_1(B) &  (v2_group_1a(B) & l1_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (r2_tarski(A, k31_group_1a(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) &  (A=D & r5_group_1a(B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t294_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(B, k31_group_1a(A, C)) <=> r5_group_1a(A, B, C)) ) ) ) ) ) ) ).
fof(t295_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => r2_tarski(k27_group_1a(A, C, B), k31_group_1a(A, C))) ) ) ) ) ) ).
fof(t296_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => r2_tarski(B, k31_group_1a(A, B))) ) ) ) ).
fof(t297_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(B, k31_group_1a(A, C)) => r2_tarski(C, k31_group_1a(A, B))) ) ) ) ) ) ) ).
fof(t298_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (k31_group_1a(A, B)=k31_group_1a(A, C) <=>  ~ (r1_xboole_0(k31_group_1a(A, B), k31_group_1a(A, C))) ) ) ) ) ) ) ) ).
fof(t300_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v8_struct_0(A) => v1_finset_1(k31_group_1a(A, B))) ) ) ) ) ).
fof(d39_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (! [C] :  (m1_group_1a(C, A) =>  (r6_group_1a(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & g1_algstr_0(u1_struct_0(B), u1_algstr_0(B))=k29_group_1a(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t301_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_algstr_0(B) & m1_group_1a(B, A))  =>  (! [C] :  ( (v1_algstr_0(C) & m1_group_1a(C, A))  =>  (r6_group_1a(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & r1_group_1a(A, C, k29_group_1a(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t302_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_algstr_0(B) & m1_group_1a(B, A))  => r6_group_1a(A, B, B)) ) ) ) ).
fof(t303_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_algstr_0(B) & m1_group_1a(B, A))  =>  (! [C] :  ( (v1_algstr_0(C) & m1_group_1a(C, A))  =>  (r6_group_1a(A, B, C) => r6_group_1a(A, C, B)) ) ) ) ) ) ) ).
fof(t304_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (! [C] :  ( (v1_algstr_0(C) & m1_group_1a(C, A))  =>  (! [D] :  ( (v1_algstr_0(D) & m1_group_1a(D, A))  =>  ( (r7_group_1a(A, C, D) & r6_group_1a(A, D, B))  => r6_group_1a(A, C, B)) ) ) ) ) ) ) ) ) ).
fof(d40_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k24_group_1a(A))) =>  (C=k32_group_1a(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (? [E] :  ( (v1_algstr_0(E) & m1_group_1a(E, A))  &  (D=E & r6_group_1a(A, B, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t305_group_1a, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_rlvect_1(B) &  (v2_group_1a(B) & l1_algstr_0(B)) ) )  =>  (! [C] :  (m1_group_1a(C, B) =>  (r2_tarski(A, k32_group_1a(B, C)) =>  (v1_algstr_0(A) & m1_group_1a(A, B)) ) ) ) ) ) ) ).
fof(t306_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_algstr_0(B) & m1_group_1a(B, A))  =>  (! [C] :  ( (v1_algstr_0(C) & m1_group_1a(C, A))  =>  (r2_tarski(B, k32_group_1a(A, C)) <=> r7_group_1a(A, B, C)) ) ) ) ) ) ) ).
fof(t307_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_algstr_0(C) & m1_group_1a(C, A))  => r2_tarski(k29_group_1a(A, C, B), k32_group_1a(A, C))) ) ) ) ) ) ).
fof(t308_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_algstr_0(B) & m1_group_1a(B, A))  => r2_tarski(B, k32_group_1a(A, B))) ) ) ) ).
fof(t309_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_algstr_0(B) & m1_group_1a(B, A))  =>  (! [C] :  ( (v1_algstr_0(C) & m1_group_1a(C, A))  =>  (r2_tarski(B, k32_group_1a(A, C)) => r2_tarski(C, k32_group_1a(A, B))) ) ) ) ) ) ) ).
fof(t310_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_algstr_0(B) & m1_group_1a(B, A))  =>  (! [C] :  ( (v1_algstr_0(C) & m1_group_1a(C, A))  =>  (k32_group_1a(A, B)=k32_group_1a(A, C) <=>  ~ (r1_xboole_0(k32_group_1a(A, B), k32_group_1a(A, C))) ) ) ) ) ) ) ) ).
fof(t311_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (v8_struct_0(A) => v1_finset_1(k32_group_1a(A, B))) ) ) ) ) ).
fof(t312_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (! [C] :  ( (v1_algstr_0(C) & m1_group_1a(C, A))  =>  (r6_group_1a(A, C, B) <=> r5_group_1a(A, k13_group_1a(A, C), k13_group_1a(A, B))) ) ) ) ) ) ) ).
fof(d41_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  (v5_group_1a(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k29_group_1a(A, B, C)=g1_algstr_0(u1_struct_0(B), u1_algstr_0(B))) ) ) ) ) ) ) ).
fof(t313_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (v5_group_1a(k11_group_1a(A), A) & v5_group_1a(k12_group_1a(A), A)) ) ) ).
fof(t314_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_algstr_0(B) &  (v5_group_1a(B, A) & m1_group_1a(B, A)) )  =>  (! [C] :  ( (v1_algstr_0(C) &  (v5_group_1a(C, A) & m1_group_1a(C, A)) )  => v5_group_1a(k15_group_1a(A, B, C), A)) ) ) ) ) ) ).
fof(t315_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_algstr_0(B) & m1_group_1a(B, A))  =>  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) ) )  => v5_group_1a(B, A)) ) ) ) ) ).
fof(t316_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  ( (v5_group_1a(B, A) & m1_group_1a(B, A))  <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k18_group_1a(A, B, C)=k19_group_1a(A, B, C)) ) ) ) ) ) ) ).
fof(t317_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  ( (v5_group_1a(B, A) & m1_group_1a(B, A))  <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_tarski(k18_group_1a(A, B, C), k19_group_1a(A, B, C))) ) ) ) ) ) ) ).
fof(t318_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  ( (v5_group_1a(B, A) & m1_group_1a(B, A))  <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_tarski(k19_group_1a(A, B, C), k18_group_1a(A, B, C))) ) ) ) ) ) ) ).
fof(t319_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  ( (v5_group_1a(B, A) & m1_group_1a(B, A))  <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k16_group_1a(A, B, C)=k17_group_1a(A, B, C)) ) ) ) ) ) ) ).
fof(t320_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_algstr_0(B) & m1_group_1a(B, A))  =>  ( (v5_group_1a(B, A) & m1_group_1a(B, A))  <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => m1_group_1a(B, k29_group_1a(A, B, C))) ) ) ) ) ) ) ).
fof(t321_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_algstr_0(B) & m1_group_1a(B, A))  =>  ( (v5_group_1a(B, A) & m1_group_1a(B, A))  <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => m1_group_1a(k29_group_1a(A, B, C), B)) ) ) ) ) ) ) ).
fof(t322_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_algstr_0(B) & m1_group_1a(B, A))  =>  ( (v5_group_1a(B, A) & m1_group_1a(B, A))  <=> k32_group_1a(A, B)=k1_tarski(B)) ) ) ) ) ).
fof(t323_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_algstr_0(B) & m1_group_1a(B, A))  =>  ( (v5_group_1a(B, A) & m1_group_1a(B, A))  <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_struct_0(B, C) => r1_tarski(k30_group_1a(A, C), k13_group_1a(A, B))) ) ) ) ) ) ) ) ).
fof(t324_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_algstr_0(B) &  (v5_group_1a(B, A) & m1_group_1a(B, A)) )  =>  (! [C] :  ( (v1_algstr_0(C) &  (v5_group_1a(C, A) & m1_group_1a(C, A)) )  => k11_ideal_1(A, k13_group_1a(A, B), k13_group_1a(A, C))=k11_ideal_1(A, k13_group_1a(A, C), k13_group_1a(A, B))) ) ) ) ) ) ).
fof(t325_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_algstr_0(B) &  (v5_group_1a(B, A) & m1_group_1a(B, A)) )  =>  (! [C] :  ( (v1_algstr_0(C) &  (v5_group_1a(C, A) & m1_group_1a(C, A)) )  =>  (? [D] :  ( (v1_algstr_0(D) &  (v5_group_1a(D, A) & m1_group_1a(D, A)) )  & u1_struct_0(D)=k11_ideal_1(A, k13_group_1a(A, B), k13_group_1a(A, C))) ) ) ) ) ) ) ) ).
fof(t326_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  ( (v5_group_1a(B, A) & m1_group_1a(B, A))  => k20_group_1a(A, B)=k21_group_1a(A, B)) ) ) ) ).
fof(t327_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) =>  ( (v1_finset_1(k20_group_1a(A, B)) & k23_group_1a(A, B)=2)  =>  (v5_group_1a(B, A) & m1_group_1a(B, A)) ) ) ) ) ) ).
fof(t328_group_1a, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_rlvect_1(B) &  (v2_group_1a(B) & l1_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (r1_struct_0(k33_group_1a(B, C), A) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & k27_group_1a(B, C, D)=C) ) ) ) ) ) ) ) ) ).
fof(t329_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k1_card_1(k31_group_1a(A, B))=k22_group_1a(A, k33_group_1a(A, B))) ) ) ) ).
fof(t330_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( (v1_finset_1(k31_group_1a(A, B)) | v1_finset_1(k20_group_1a(A, k33_group_1a(A, B))))  &  (! [C] :  (v1_finset_1(C) =>  ~ ( (C=k31_group_1a(A, B) & k4_card_1(C)=k23_group_1a(A, k33_group_1a(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(t331_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_card_1(k30_group_1a(A, B))=k22_group_1a(A, k33_group_1a(A, k6_domain_1(u1_struct_0(A), B)))) ) ) ) ).
fof(t332_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ ( ( (v1_finset_1(k30_group_1a(A, B)) | v1_finset_1(k20_group_1a(A, k33_group_1a(A, k6_domain_1(u1_struct_0(A), B)))))  &  (! [C] :  (v1_finset_1(C) =>  ~ ( (C=k30_group_1a(A, B) & k4_card_1(C)=k23_group_1a(A, k33_group_1a(A, k6_domain_1(u1_struct_0(A), B)))) ) ) ) ) ) ) ) ) ) ).
fof(d43_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_1a(B, A) => k34_group_1a(A, B)=k33_group_1a(A, k13_group_1a(A, B))) ) ) ) ).
fof(t333_group_1a, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_rlvect_1(B) &  (v2_group_1a(B) & l1_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_algstr_0(C) & m1_group_1a(C, B))  =>  (r1_struct_0(k34_group_1a(B, C), A) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & r1_group_1a(B, k29_group_1a(B, C, D), C)) ) ) ) ) ) ) ) ) ).
fof(t334_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_algstr_0(B) & m1_group_1a(B, A))  => k1_card_1(k32_group_1a(A, B))=k22_group_1a(A, k34_group_1a(A, B))) ) ) ) ).
fof(t335_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_algstr_0(B) & m1_group_1a(B, A))  =>  ~ ( ( (v1_finset_1(k32_group_1a(A, B)) | v1_finset_1(k20_group_1a(A, k34_group_1a(A, B))))  &  (! [C] :  (v1_finset_1(C) =>  ~ ( (C=k32_group_1a(A, B) & k4_card_1(C)=k23_group_1a(A, k34_group_1a(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(t336_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_algstr_0(A) &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v1_algstr_0(B) & m1_group_1a(B, A))  =>  ( (v5_group_1a(B, A) & m1_group_1a(B, A))  <=> k34_group_1a(A, B)=A) ) ) ) ) ).
fof(t337_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_algstr_0(A) &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) ) )  => k34_group_1a(A, k11_group_1a(A))=A) ) ).
fof(t338_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_algstr_0(A) &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) ) )  => k34_group_1a(A, k12_group_1a(A))=A) ) ).
fof(t339_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r1_tarski(B, D) & r1_tarski(C, E))  => r1_tarski(k11_ideal_1(A, B, C), k11_ideal_1(A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t340_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_tarski(B, C) => r1_tarski(k10_group_1a(A, D, B), k10_group_1a(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t341_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_tarski(B, C) => r1_tarski(k9_group_1a(A, D, B), k9_group_1a(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t342_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, k7_group_1a(A, B)) <=> r2_tarski(k2_group_1a(A, C), B)) ) ) ) ) ) ) ).
fof(t343_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(B, C) <=> r1_tarski(k7_group_1a(A, B), k7_group_1a(A, C))) ) ) ) ) ) ) ).
fof(t344_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k7_relset_1(u1_struct_0(A), u1_struct_0(A), k3_group_1a(A), B)=k7_group_1a(A, B)) ) ) ) ).
fof(t345_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k8_relset_1(u1_struct_0(A), u1_struct_0(A), k3_group_1a(A), B)=k7_group_1a(A, B)) ) ) ) ).
fof(t346_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  => v2_funct_1(k3_group_1a(A))) ) ).
fof(t347_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  => k2_relset_1(u1_struct_0(A), k3_group_1a(A))=u1_struct_0(A)) ) ).
fof(t348_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  => r2_funct_2(u1_struct_0(A), u1_struct_0(A), k2_funct_2(u1_struct_0(A), k3_group_1a(A)), k3_group_1a(A))) ) ).
fof(t349_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k7_relset_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A), u1_algstr_0(A), k8_mcart_1(u1_struct_0(A), u1_struct_0(A), B, C))=k11_ideal_1(A, B, C)) ) ) ) ) ) ).
fof(d44_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (C=k35_group_1a(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(A), C, D)=k1_algstr_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d45_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (C=k36_group_1a(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(A), C, D)=k1_algstr_0(A, D, B)) ) ) ) ) ) ) ) ) ).
fof(t350_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k7_relset_1(u1_struct_0(A), u1_struct_0(A), k35_group_1a(A, C), B)=k9_group_1a(A, C, B)) ) ) ) ) ) ).
fof(t351_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k7_relset_1(u1_struct_0(A), u1_struct_0(A), k36_group_1a(A, C), B)=k10_group_1a(A, C, B)) ) ) ) ) ) ).
fof(t352_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r2_funct_2(u1_struct_0(A), u1_struct_0(A), k2_tops_2(u1_struct_0(A), u1_struct_0(A), k35_group_1a(A, B)), k35_group_1a(A, k2_group_1a(A, B)))) ) ) ) ).
fof(t353_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r2_funct_2(u1_struct_0(A), u1_struct_0(A), k2_tops_2(u1_struct_0(A), u1_struct_0(A), k36_group_1a(A, B)), k36_group_1a(A, k2_group_1a(A, B)))) ) ) ) ).
fof(d46_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_group_1a(A)) ) )  =>  (v7_group_1a(A) <=> v5_pre_topc(k3_group_1a(A), A, A)) ) ) ).
fof(d47_group_1a, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_group_1a(A))  =>  (v8_group_1a(A) <=>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k2_borsuk_1(A, A)), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A, A)), u1_struct_0(A))))) )  =>  (B=u1_algstr_0(A) => v5_pre_topc(B, k2_borsuk_1(A, A), A)) ) ) ) ) ) ).
fof(t354_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v8_group_1a(A) & l1_group_1a(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_connsp_2(D, A, k1_algstr_0(A, B, C)) =>  (? [E] :  ( (v3_pre_topc(E, A) & m1_connsp_2(E, A, B))  &  (? [F] :  ( (v3_pre_topc(F, A) & m1_connsp_2(F, A, C))  & r1_tarski(k11_ideal_1(A, E, F), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t355_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_group_1a(A)) )  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_connsp_2(D, A, k1_algstr_0(A, B, C)) =>  (? [E] :  (m1_connsp_2(E, A, B) &  (? [F] :  (m1_connsp_2(F, A, C) & r1_tarski(k11_ideal_1(A, E, F), D)) ) ) ) ) ) ) ) ) )  => v8_group_1a(A)) ) ) ).
fof(t356_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) &  (v7_group_1a(A) & l1_group_1a(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_connsp_2(C, A, k2_group_1a(A, B)) =>  (? [D] :  ( (v3_pre_topc(D, A) & m1_connsp_2(D, A, B))  & r1_tarski(k7_group_1a(A, D), C)) ) ) ) ) ) ) ) ).
fof(t357_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) & l1_group_1a(A)) ) ) )  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_connsp_2(C, A, k2_group_1a(A, B)) =>  (? [D] :  (m1_connsp_2(D, A, B) & r1_tarski(k7_group_1a(A, D), C)) ) ) ) ) )  => v7_group_1a(A)) ) ) ).
fof(t358_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) &  (v7_group_1a(A) &  (v8_group_1a(A) & l1_group_1a(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_connsp_2(D, A, k1_algstr_0(A, B, k2_group_1a(A, C))) =>  (? [E] :  ( (v3_pre_topc(E, A) & m1_connsp_2(E, A, B))  &  (? [F] :  ( (v3_pre_topc(F, A) & m1_connsp_2(F, A, C))  & r1_tarski(k11_ideal_1(A, E, k7_group_1a(A, F)), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t359_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) & l1_group_1a(A)) ) ) )  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_connsp_2(D, A, k1_algstr_0(A, B, k2_group_1a(A, C))) =>  (? [E] :  (m1_connsp_2(E, A, B) &  (? [F] :  (m1_connsp_2(F, A, C) & r1_tarski(k11_ideal_1(A, E, k7_group_1a(A, F)), D)) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) &  (v7_group_1a(A) &  (v8_group_1a(A) & l1_group_1a(A)) ) ) ) ) ) ) ) ) ).
fof(t360_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) &  (v8_group_1a(A) & l1_group_1a(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => m3_topgrp_1(k35_group_1a(A, B), A)) ) ) ) ).
fof(t361_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) &  (v8_group_1a(A) & l1_group_1a(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => m3_topgrp_1(k36_group_1a(A, B), A)) ) ) ) ).
fof(t362_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) &  (v7_group_1a(A) & l1_group_1a(A)) ) ) ) )  => m3_topgrp_1(k3_group_1a(A), A)) ) ).
fof(t363_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) &  (v8_group_1a(A) & l1_group_1a(A)) ) ) ) )  =>  (! [B] :  ( (v4_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => v4_pre_topc(k10_group_1a(A, C, B), A)) ) ) ) ) ) ).
fof(t364_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) &  (v8_group_1a(A) & l1_group_1a(A)) ) ) ) )  =>  (! [B] :  ( (v4_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => v4_pre_topc(k9_group_1a(A, C, B), A)) ) ) ) ) ) ).
fof(t365_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) &  (v7_group_1a(A) & l1_group_1a(A)) ) ) ) )  =>  (! [B] :  ( (v4_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => v4_pre_topc(k7_group_1a(A, B), A)) ) ) ) ).
fof(t366_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) &  (v8_group_1a(A) & l1_group_1a(A)) ) ) ) )  =>  (! [B] :  ( (v3_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => v3_pre_topc(k10_group_1a(A, C, B), A)) ) ) ) ) ) ).
fof(t367_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) &  (v8_group_1a(A) & l1_group_1a(A)) ) ) ) )  =>  (! [B] :  ( (v3_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => v3_pre_topc(k9_group_1a(A, C, B), A)) ) ) ) ) ) ).
fof(t368_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) &  (v7_group_1a(A) & l1_group_1a(A)) ) ) ) )  =>  (! [B] :  ( (v3_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => v3_pre_topc(k7_group_1a(A, B), A)) ) ) ) ).
fof(t369_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) &  (v8_group_1a(A) & l1_group_1a(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_pre_topc(C, A) => v3_pre_topc(k11_ideal_1(A, C, B), A)) ) ) ) ) ) ) ).
fof(t370_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) &  (v8_group_1a(A) & l1_group_1a(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_pre_topc(C, A) => v3_pre_topc(k11_ideal_1(A, B, C), A)) ) ) ) ) ) ) ).
fof(t371_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) &  (v7_group_1a(A) & l1_group_1a(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_connsp_2(C, A, B) => m1_connsp_2(k7_group_1a(A, C), A, k2_group_1a(A, B))) ) ) ) ) ) ).
fof(t372_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) &  (v7_group_1a(A) &  (v8_group_1a(A) & l1_group_1a(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_connsp_2(C, A, k1_algstr_0(A, B, k2_group_1a(A, B))) =>  (? [D] :  ( (v3_pre_topc(D, A) & m1_connsp_2(D, A, B))  & r1_tarski(k11_ideal_1(A, D, k7_group_1a(A, D)), C)) ) ) ) ) ) ) ) ).
fof(t373_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) &  (v7_group_1a(A) & l1_group_1a(A)) ) ) ) )  =>  (! [B] :  ( (v1_tops_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => v1_tops_1(k7_group_1a(A, B), A)) ) ) ) ).
fof(t374_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) &  (v8_group_1a(A) & l1_group_1a(A)) ) ) ) )  =>  (! [B] :  ( (v1_tops_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => v1_tops_1(k9_group_1a(A, C, B), A)) ) ) ) ) ) ).
fof(t375_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) &  (v8_group_1a(A) & l1_group_1a(A)) ) ) ) )  =>  (! [B] :  ( (v1_tops_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => v1_tops_1(k10_group_1a(A, C, B), A)) ) ) ) ) ) ).
fof(s1_group_1a, axiom,  ( (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, f1_s1_group_1a) =>  (? [C] :  (m1_subset_1(C, f2_s1_group_1a) & p1_s1_group_1a(A, B, C)) ) ) ) ) )  =>  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, f1_s1_group_1a), f2_s1_group_1a) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f1_s1_group_1a), f2_s1_group_1a)))) )  &  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, f1_s1_group_1a) => p1_s1_group_1a(B, C, k1_binop_1(A, B, C))) ) ) ) ) ) ) ).
fof(dt_f1_s1_group_1a, axiom,  ~ (v1_xboole_0(f1_s1_group_1a)) ).
fof(dt_f2_s1_group_1a, axiom,  ~ (v1_xboole_0(f2_s1_group_1a)) ).
fof(dt_k1_group_1a, axiom,  (! [A] :  (l1_algstr_0(A) => m1_subset_1(k1_group_1a(A), u1_struct_0(A))) ) ).
fof(dt_k2_group_1a, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k2_group_1a(A, B), u1_struct_0(A))) ) ).
fof(involutiveness_k2_group_1a, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  & m1_subset_1(B, u1_struct_0(A)))  => k2_group_1a(A, k2_group_1a(A, B))=B) ) ).
fof(dt_k3_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (v1_funct_1(k3_group_1a(A)) &  (v1_funct_2(k3_group_1a(A), u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(k3_group_1a(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ).
fof(dt_k4_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  (v1_funct_1(k4_group_1a(A)) &  (v1_funct_2(k4_group_1a(A), k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(k4_group_1a(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(dt_k5_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  &  (v1_int_1(B) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k5_group_1a(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k6_group_1a, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k6_group_1a(A, B), k4_ordinal1)) ) ).
fof(dt_k7_group_1a, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k7_group_1a(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(involutiveness_k7_group_1a, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => k7_group_1a(A, k7_group_1a(A, B))=B) ) ).
fof(dt_k8_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) & l1_algstr_0(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k8_group_1a(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(commutativity_k8_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) & l1_algstr_0(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => k8_group_1a(A, B, C)=k8_group_1a(A, C, B)) ) ).
fof(redefinition_k8_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) & l1_algstr_0(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => k8_group_1a(A, B, C)=k11_ideal_1(A, B, C)) ) ).
fof(dt_k9_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k9_group_1a(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k10_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k10_group_1a(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_m1_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1a(A) & l1_algstr_0(A)) )  =>  (! [B] :  (m1_group_1a(B, A) =>  ( ~ (v2_struct_0(B))  &  (v2_group_1a(B) & l1_algstr_0(B)) ) ) ) ) ) ).
fof(existence_m1_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1a(A) & l1_algstr_0(A)) )  =>  (? [B] : m1_group_1a(B, A)) ) ) ).
fof(symmetry_r1_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  &  ( (v1_algstr_0(B) & m1_group_1a(B, A))  &  (v1_algstr_0(C) & m1_group_1a(C, A)) ) )  =>  (r1_group_1a(A, B, C) => r1_group_1a(A, C, B)) ) ) ).
fof(reflexivity_r1_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  &  ( (v1_algstr_0(B) & m1_group_1a(B, A))  &  (v1_algstr_0(C) & m1_group_1a(C, A)) ) )  => r1_group_1a(A, B, B)) ) ).
fof(redefinition_r1_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  &  ( (v1_algstr_0(B) & m1_group_1a(B, A))  &  (v1_algstr_0(C) & m1_group_1a(C, A)) ) )  =>  (r1_group_1a(A, B, C) <=> B=C) ) ) ).
fof(dt_k11_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (v1_algstr_0(k11_group_1a(A)) & m1_group_1a(k11_group_1a(A), A)) ) ) ).
fof(dt_k12_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (v1_algstr_0(k12_group_1a(A)) & m1_group_1a(k12_group_1a(A), A)) ) ) ).
fof(projectivity_k12_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  => k12_group_1a(k12_group_1a(A))=k12_group_1a(A)) ) ).
fof(dt_k13_group_1a, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  & m1_group_1a(B, A))  => m1_subset_1(k13_group_1a(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k14_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  &  (m1_group_1a(B, A) & m1_group_1a(C, A)) )  =>  (v1_algstr_0(k14_group_1a(A, B, C)) & m1_group_1a(k14_group_1a(A, B, C), A)) ) ) ).
fof(dt_k15_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  &  (m1_group_1a(B, A) & m1_group_1a(C, A)) )  =>  (v1_algstr_0(k15_group_1a(A, B, C)) & m1_group_1a(k15_group_1a(A, B, C), A)) ) ) ).
fof(commutativity_k15_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  &  (m1_group_1a(B, A) & m1_group_1a(C, A)) )  => k15_group_1a(A, B, C)=k15_group_1a(A, C, B)) ) ).
fof(redefinition_k15_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  &  (m1_group_1a(B, A) & m1_group_1a(C, A)) )  => k15_group_1a(A, B, C)=k14_group_1a(A, B, C)) ) ).
fof(dt_k16_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  &  (m1_group_1a(B, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k16_group_1a(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k17_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  &  (m1_group_1a(B, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k17_group_1a(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k18_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  &  (m1_group_1a(B, A) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k18_group_1a(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k19_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  &  (m1_group_1a(B, A) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k19_group_1a(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k20_group_1a, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  & m1_group_1a(B, A))  => m1_subset_1(k20_group_1a(A, B), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k21_group_1a, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  & m1_group_1a(B, A))  => m1_subset_1(k21_group_1a(A, B), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k22_group_1a, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  & m1_group_1a(B, A))  => v1_card_1(k22_group_1a(A, B))) ) ).
fof(dt_k23_group_1a, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  & m1_group_1a(B, A))  => m1_subset_1(k23_group_1a(A, B), k4_ordinal1)) ) ).
fof(dt_k25_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k25_group_1a(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k26_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k26_group_1a(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k27_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k27_group_1a(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k28_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k28_group_1a(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k29_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  &  (m1_group_1a(B, A) & m1_subset_1(C, u1_struct_0(A))) )  =>  (v1_algstr_0(k29_group_1a(A, B, C)) & m1_group_1a(k29_group_1a(A, B, C), A)) ) ) ).
fof(symmetry_r3_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r3_group_1a(A, B, C) => r3_group_1a(A, C, B)) ) ) ).
fof(reflexivity_r3_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => r3_group_1a(A, B, B)) ) ).
fof(redefinition_r3_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r3_group_1a(A, B, C) <=> r2_group_1a(A, B, C)) ) ) ).
fof(dt_k30_group_1a, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k30_group_1a(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(symmetry_r5_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (r5_group_1a(A, B, C) => r5_group_1a(A, C, B)) ) ) ).
fof(reflexivity_r5_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => r5_group_1a(A, B, B)) ) ).
fof(redefinition_r5_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (r5_group_1a(A, B, C) <=> r4_group_1a(A, B, C)) ) ) ).
fof(dt_k31_group_1a, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k31_group_1a(A, B), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(symmetry_r7_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  &  ( (v1_algstr_0(B) & m1_group_1a(B, A))  &  (v1_algstr_0(C) & m1_group_1a(C, A)) ) )  =>  (r7_group_1a(A, B, C) => r7_group_1a(A, C, B)) ) ) ).
fof(reflexivity_r7_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  &  ( (v1_algstr_0(B) & m1_group_1a(B, A))  &  (v1_algstr_0(C) & m1_group_1a(C, A)) ) )  => r7_group_1a(A, B, B)) ) ).
fof(redefinition_r7_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  &  ( (v1_algstr_0(B) & m1_group_1a(B, A))  &  (v1_algstr_0(C) & m1_group_1a(C, A)) ) )  =>  (r7_group_1a(A, B, C) <=> r6_group_1a(A, B, C)) ) ) ).
fof(dt_k32_group_1a, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  & m1_group_1a(B, A))  => m1_subset_1(k32_group_1a(A, B), k1_zfmisc_1(k24_group_1a(A)))) ) ).
fof(dt_k33_group_1a, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_algstr_0(k33_group_1a(A, B)) & m1_group_1a(k33_group_1a(A, B), A)) ) ) ).
fof(dt_k34_group_1a, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  & m1_group_1a(B, A))  =>  (v1_algstr_0(k34_group_1a(A, B)) & m1_group_1a(k34_group_1a(A, B), A)) ) ) ).
fof(dt_k35_group_1a, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k35_group_1a(A, B)) &  (v1_funct_2(k35_group_1a(A, B), u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(k35_group_1a(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ).
fof(dt_k36_group_1a, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k36_group_1a(A, B)) &  (v1_funct_2(k36_group_1a(A, B), u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(k36_group_1a(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ).
fof(abstractness_v6_group_1a, axiom,  (! [A] :  (l1_group_1a(A) =>  (v6_group_1a(A) => A=g1_group_1a(u1_struct_0(A), u1_algstr_0(A), u1_pre_topc(A))) ) ) ).
fof(dt_l1_group_1a, axiom,  (! [A] :  (l1_group_1a(A) =>  (l1_algstr_0(A) & l1_pre_topc(A)) ) ) ).
fof(existence_l1_group_1a, axiom,  (? [A] : l1_group_1a(A)) ).
fof(dt_g1_group_1a, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  (v6_group_1a(g1_group_1a(A, B, C)) & l1_group_1a(g1_group_1a(A, B, C))) ) ) ).
fof(free_g1_group_1a, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  (! [D, E, F] :  (g1_group_1a(A, B, C)=g1_group_1a(D, E, F) =>  (A=D &  (B=E & C=F) ) ) ) ) ) ).
fof(dt_k37_group_1a, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) &  (v8_group_1a(A) & l1_group_1a(A)) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => m3_topgrp_1(k37_group_1a(A, B), A)) ) ).
fof(redefinition_k37_group_1a, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) &  (v8_group_1a(A) & l1_group_1a(A)) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => k37_group_1a(A, B)=k35_group_1a(A, B)) ) ).
fof(dt_k38_group_1a, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) &  (v8_group_1a(A) & l1_group_1a(A)) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => m3_topgrp_1(k38_group_1a(A, B), A)) ) ).
fof(redefinition_k38_group_1a, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) &  (v8_group_1a(A) & l1_group_1a(A)) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => k38_group_1a(A, B)=k36_group_1a(A, B)) ) ).
fof(dt_k39_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) &  (v7_group_1a(A) & l1_group_1a(A)) ) ) ) )  => m3_topgrp_1(k39_group_1a(A), A)) ) ).
fof(redefinition_k39_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) &  (v7_group_1a(A) & l1_group_1a(A)) ) ) ) )  => k39_group_1a(A)=k3_group_1a(A)) ) ).
fof(d12_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k7_group_1a(A, B)=a_2_0_group_1a(A, B)) ) ) ) ).
fof(t184_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  => k20_group_1a(A, k11_group_1a(A))=a_1_0_group_1a(A)) ) ).
fof(t185_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  => k21_group_1a(A, k11_group_1a(A))=a_1_0_group_1a(A)) ) ).
fof(t186_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_algstr_0(B) & m1_group_1a(B, A))  =>  (k20_group_1a(A, B)=a_1_0_group_1a(A) => r1_group_1a(A, B, k11_group_1a(A))) ) ) ) ) ).
fof(t187_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_algstr_0(B) & m1_group_1a(B, A))  =>  (k21_group_1a(A, B)=a_1_0_group_1a(A) => r1_group_1a(A, B, k11_group_1a(A))) ) ) ) ) ).
fof(d31_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k26_group_1a(A, B, C)=a_3_0_group_1a(A, B, C)) ) ) ) ) ) ).
fof(t278_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k28_group_1a(A, k13_group_1a(A, k12_group_1a(A)), B)=a_2_1_group_1a(A, B)) ) ) ) ).
fof(d38_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k31_group_1a(A, B)=a_2_2_group_1a(A, B)) ) ) ) ).
fof(t299_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k31_group_1a(A, k6_domain_1(u1_struct_0(A), B))=a_2_3_group_1a(A, B)) ) ) ) ).
fof(d42_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_group_1a(A) & l1_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v1_algstr_0(C) & m1_group_1a(C, A))  =>  (C=k33_group_1a(A, B) <=> u1_struct_0(C)=a_2_4_group_1a(A, B)) ) ) ) ) ) ) ).
fof(t376_group_1a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v2_pre_topc(A) &  (v2_group_1a(A) &  (v7_group_1a(A) &  (v8_group_1a(A) & l1_group_1a(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_tops_2(B, A) &  (v1_yellow_8(B, A, k1_group_1a(A)) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_tops_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_tops_2(a_3_1_group_1a(A, B, C), A) &  (v1_cantor_1(a_3_1_group_1a(A, B, C), A) & m1_subset_1(a_3_1_group_1a(A, B, C), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v3_rlvect_1(B) &  (v2_group_1a(B) & l1_algstr_0(B)) ) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_0_group_1a(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=k2_group_1a(B, D) & r2_tarski(D, C)) ) ) ) ) ) ).
fof(fraenkel_a_1_0_group_1a, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v3_rlvect_1(B) &  (v2_group_1a(B) & l1_algstr_0(B)) ) )  =>  (r2_hidden(A, a_1_0_group_1a(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(B)) & A=k6_domain_1(u1_struct_0(B), C)) ) ) ) ) ).
fof(fraenkel_a_3_0_group_1a, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v3_rlvect_1(B) &  (v2_group_1a(B) & l1_algstr_0(B)) ) )  &  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (r2_hidden(A, a_3_0_group_1a(B, C, D)) <=>  (? [E, F] :  ( (m1_subset_1(E, u1_struct_0(B)) & m1_subset_1(F, u1_struct_0(B)))  &  (A=k25_group_1a(B, E, F) &  (r2_tarski(E, C) & r2_tarski(F, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v3_rlvect_1(B) &  (v2_group_1a(B) & l1_algstr_0(B)) ) )  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_2_1_group_1a(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & r3_group_1a(B, C, D)) ) ) ) ) ) ).
fof(fraenkel_a_2_2_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v3_rlvect_1(B) &  (v2_group_1a(B) & l1_algstr_0(B)) ) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_2_group_1a(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) &  (A=D & r5_group_1a(B, C, D)) ) ) ) ) ) ).
fof(fraenkel_a_2_3_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v3_rlvect_1(B) &  (v2_group_1a(B) & l1_algstr_0(B)) ) )  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_2_3_group_1a(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=k6_domain_1(u1_struct_0(B), D) & r2_tarski(D, k30_group_1a(B, C))) ) ) ) ) ) ).
fof(fraenkel_a_2_4_group_1a, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v3_rlvect_1(B) &  (v2_group_1a(B) & l1_algstr_0(B)) ) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_4_group_1a(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & k27_group_1a(B, C, D)=C) ) ) ) ) ) ).
fof(fraenkel_a_3_1_group_1a, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v3_rlvect_1(B) &  (v2_pre_topc(B) &  (v2_group_1a(B) &  (v7_group_1a(B) &  (v8_group_1a(B) & l1_group_1a(B)) ) ) ) ) )  &  ( (v1_tops_2(C, B) &  (v1_yellow_8(C, B, k1_group_1a(B)) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B))))) )  &  (v1_tops_1(D, B) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) )  =>  (r2_hidden(A, a_3_1_group_1a(B, C, D)) <=>  (? [E, F] :  ( (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(F, u1_struct_0(B)))  &  (A=k10_group_1a(B, F, E) &  (r2_tarski(E, C) & r2_tarski(F, D)) ) ) ) ) ) ) ).
fof(fc1_group_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (v1_xboole_0(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v1_xboole_0(k1_group_2(A, B))) ) ).
fof(fc2_group_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  ~ (v1_xboole_0(k1_group_2(A, B))) ) ) ).
fof(cc1_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) => v3_group_1(B)) ) ) ) ).
fof(rc1_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (? [B] :  (m1_group_2(B, A) &  ( ~ (v2_struct_0(B))  &  (v15_algstr_0(B) &  (v1_group_1(B) &  (v2_group_1(B) & v3_group_1(B)) ) ) ) ) ) ) ) ).
fof(cc2_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_group_2(B, A) => v5_group_1(B)) ) ) ) ).
fof(fc3_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (v8_struct_0(k6_group_2(A)) & v15_algstr_0(k6_group_2(A))) ) ) ).
fof(rc2_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (? [B] :  (m1_group_2(B, A) &  ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v15_algstr_0(B) &  (v1_group_1(B) &  (v2_group_1(B) & v3_group_1(B)) ) ) ) ) ) ) ) ) ).
fof(rc3_group_2, axiom,  (? [A] :  (l3_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v15_algstr_0(A) &  (v1_group_1(A) &  (v2_group_1(A) & v3_group_1(A)) ) ) ) ) ) ) ).
fof(cc3_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_group_2(B, A) => v8_struct_0(B)) ) ) ) ).
fof(t1_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v8_struct_0(A) => v1_finset_1(B)) ) ) ) ) ).
fof(t2_group_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (r2_hidden(A, k1_group_2(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=k2_group_1(B, D) & r2_tarski(D, C)) ) ) ) ) ) ) ) ) ).
fof(t3_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_group_2(A, k6_domain_1(u1_struct_0(A), B))=k6_domain_1(u1_struct_0(A), k2_group_1(A, B))) ) ) ) ).
fof(t4_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_group_2(A, k7_domain_1(u1_struct_0(A), B, C))=k7_domain_1(u1_struct_0(A), k2_group_1(A, B), k2_group_1(A, C))) ) ) ) ) ) ).
fof(t5_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  => k1_group_2(A, k1_subset_1(u1_struct_0(A)))=k1_xboole_0) ) ).
fof(t6_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  => k1_group_2(A, k2_subset_1(u1_struct_0(A)))=u1_struct_0(A)) ) ).
fof(t7_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ~ ( ( ~ (B=k1_xboole_0)  & k1_group_2(A, B)=k1_xboole_0) )  &  ~ ( ( ~ (k1_group_2(A, B)=k1_xboole_0)  & B=k1_xboole_0) ) ) ) ) ) ) ).
fof(t8_group_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (r2_hidden(A, k2_group_2(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (A=k6_algstr_0(B, E, F) &  (r2_tarski(E, C) & r2_tarski(F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( ( ~ (B=k1_xboole_0)  &  ~ (C=k1_xboole_0) )  <=>  ~ (k2_group_2(A, B, C)=k1_xboole_0) ) ) ) ) ) ) ) ).
fof(t10_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_group_1(A) => k2_group_2(A, k2_group_2(A, B, C), D)=k2_group_2(A, B, k2_group_2(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t11_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k1_group_2(A, k2_group_2(A, B, C))=k2_group_2(A, k1_group_2(A, C), k1_group_2(A, B))) ) ) ) ) ) ).
fof(t12_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => k2_group_2(A, B, k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)), C, D))=k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)), k2_group_2(A, B, C), k2_group_2(A, B, D))) ) ) ) ) ) ) ) ).
fof(t13_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => k2_group_2(A, k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)), B, C), D)=k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)), k2_group_2(A, B, D), k2_group_2(A, C, D))) ) ) ) ) ) ) ) ).
fof(t14_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k2_group_2(A, B, k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)), C, D)), k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)), k2_group_2(A, B, C), k2_group_2(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t15_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k2_group_2(A, k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)), B, C), D), k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)), k2_group_2(A, B, D), k2_group_2(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t16_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (k2_group_2(A, k1_subset_1(u1_struct_0(A)), B)=k1_xboole_0 & k2_group_2(A, B, k1_subset_1(u1_struct_0(A)))=k1_xboole_0) ) ) ) ) ).
fof(t17_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ~ (B=k1_xboole_0)  =>  (k2_group_2(A, k2_subset_1(u1_struct_0(A)), B)=u1_struct_0(A) & k2_group_2(A, B, k2_subset_1(u1_struct_0(A)))=u1_struct_0(A)) ) ) ) ) ) ).
fof(t18_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_group_2(A, k6_domain_1(u1_struct_0(A), B), k6_domain_1(u1_struct_0(A), C))=k6_domain_1(u1_struct_0(A), k6_algstr_0(A, B, C))) ) ) ) ) ) ).
fof(t19_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_group_2(A, k6_domain_1(u1_struct_0(A), B), k7_domain_1(u1_struct_0(A), C, D))=k7_domain_1(u1_struct_0(A), k6_algstr_0(A, B, C), k6_algstr_0(A, B, D))) ) ) ) ) ) ) ) ).
fof(t20_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_group_2(A, k7_domain_1(u1_struct_0(A), C, D), k6_domain_1(u1_struct_0(A), B))=k7_domain_1(u1_struct_0(A), k6_algstr_0(A, C, B), k6_algstr_0(A, D, B))) ) ) ) ) ) ) ) ).
fof(t21_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k2_group_2(A, k7_domain_1(u1_struct_0(A), B, E), k7_domain_1(u1_struct_0(A), C, D))=k9_domain_1(u1_struct_0(A), k6_algstr_0(A, B, C), k6_algstr_0(A, B, D), k6_algstr_0(A, E, C), k6_algstr_0(A, E, D))) ) ) ) ) ) ) ) ) ) ).
fof(t22_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k6_algstr_0(A, C, D), B)) ) ) ) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) => r2_tarski(k2_group_1(A, C), B)) ) ) )  => k2_group_2(A, B, B)=B) ) ) ) ) ).
fof(t23_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) => r2_tarski(k2_group_1(A, C), B)) ) )  => k1_group_2(A, B)=B) ) ) ) ) ).
fof(t24_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r2_tarski(D, B) & r2_tarski(E, C))  => k6_algstr_0(A, D, E)=k6_algstr_0(A, E, D)) ) ) ) )  => k2_group_2(A, B, C)=k2_group_2(A, C, B)) ) ) ) ) ) ) ).
fof(t25_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) )  => k2_group_2(A, B, C)=k2_group_2(A, C, B)) ) ) ) ) ) ) ).
fof(t26_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k1_group_2(A, k3_group_2(A, B, C))=k3_group_2(A, k1_group_2(A, B), k1_group_2(A, C))) ) ) ) ) ) ).
fof(d3_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k4_group_2(A, B, C)=k2_group_2(A, k6_domain_1(u1_struct_0(A), B), C)) ) ) ) ) ) ).
fof(d4_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k5_group_2(A, B, C)=k2_group_2(A, C, k6_domain_1(u1_struct_0(A), B))) ) ) ) ) ) ).
fof(t27_group_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r2_hidden(A, k4_group_2(B, D, C)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k6_algstr_0(B, D, E) & r2_tarski(E, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_group_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r2_hidden(A, k5_group_2(B, D, C)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k6_algstr_0(B, E, D) & r2_tarski(E, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (v3_group_1(A) => k2_group_2(A, k4_group_2(A, D, B), C)=k4_group_2(A, D, k2_group_2(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t30_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (v3_group_1(A) => k2_group_2(A, k5_group_2(A, D, B), C)=k2_group_2(A, B, k4_group_2(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t31_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (v3_group_1(A) => k5_group_2(A, D, k2_group_2(A, B, C))=k2_group_2(A, B, k5_group_2(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t32_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (v3_group_1(A) => k4_group_2(A, k6_algstr_0(A, C, D), B)=k4_group_2(A, C, k4_group_2(A, D, B))) ) ) ) ) ) ) ) ) ).
fof(t33_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (v3_group_1(A) => k5_group_2(A, D, k4_group_2(A, C, B))=k4_group_2(A, C, k5_group_2(A, D, B))) ) ) ) ) ) ) ) ) ).
fof(t34_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (v3_group_1(A) => k5_group_2(A, D, k5_group_2(A, C, B))=k5_group_2(A, k6_algstr_0(A, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t35_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k5_group_2(A, B, k1_subset_1(u1_struct_0(A)))=k1_xboole_0 & k4_group_2(A, B, k1_subset_1(u1_struct_0(A)))=k1_xboole_0) ) ) ) ) ).
fof(t36_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k5_group_2(A, B, k2_subset_1(u1_struct_0(A)))=u1_struct_0(A) & k4_group_2(A, B, k2_subset_1(u1_struct_0(A)))=u1_struct_0(A)) ) ) ) ) ).
fof(t37_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (k4_group_2(A, k1_group_1(A), B)=B & k5_group_2(A, k1_group_1(A), B)=B) ) ) ) ) ).
fof(t38_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) )  => k4_group_2(A, B, C)=k5_group_2(A, B, C)) ) ) ) ) ) ) ).
fof(d5_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) & l3_algstr_0(B)) )  =>  (m1_group_2(B, A) <=>  (r1_tarski(u1_struct_0(B), u1_struct_0(A)) & u2_algstr_0(B)=k1_realset1(u2_algstr_0(A), u1_struct_0(B))) ) ) ) ) ) ).
fof(t39_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  (m1_group_2(B, A) =>  (v8_struct_0(A) => v8_struct_0(B)) ) ) ) ) ).
fof(t40_group_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) & l3_algstr_0(B)) )  =>  (! [C] :  (m1_group_2(C, B) =>  (r1_struct_0(C, A) => r1_struct_0(B, A)) ) ) ) ) ) ).
fof(t41_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => r1_struct_0(A, C)) ) ) ) ) ) ).
fof(t42_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => m1_subset_1(C, u1_struct_0(A))) ) ) ) ) ) ).
fof(t43_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_group_2(D, A) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(D)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(D)) =>  ( (E=B & F=C)  => k6_algstr_0(D, E, F)=k6_algstr_0(A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) => k1_group_1(B)=k1_group_1(A)) ) ) ) ).
fof(t45_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) => k1_group_1(B)=k1_group_1(C)) ) ) ) ) ) ).
fof(t46_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) => r1_struct_0(B, k1_group_1(A))) ) ) ) ).
fof(t47_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) => r1_struct_0(C, k1_group_1(B))) ) ) ) ) ) ).
fof(t48_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (D=B => k2_group_1(C, D)=k2_group_1(A, B)) ) ) ) ) ) ) ) ) ).
fof(t49_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) => k3_group_1(B)=k5_relset_1(u1_struct_0(A), u1_struct_0(A), k3_group_1(A), u1_struct_0(B))) ) ) ) ).
fof(t50_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_group_2(D, A) =>  ( (r1_struct_0(D, B) & r1_struct_0(D, C))  => r1_struct_0(D, k6_algstr_0(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t51_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_2(C, A) =>  (r1_struct_0(C, B) => r1_struct_0(C, k2_group_1(A, B))) ) ) ) ) ) ) ).
fof(t52_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( ~ (B=k1_xboole_0)  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k6_algstr_0(A, C, D), B)) ) ) ) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) => r2_tarski(k2_group_1(A, C), B)) ) )  &  (! [C] :  ( (v15_algstr_0(C) & m1_group_2(C, A))  =>  ~ (u1_struct_0(C)=B) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) )  => v5_group_1(B)) ) ) ) ) ).
fof(t54_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  => m1_group_2(A, A)) ) ).
fof(t55_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  ( (m1_group_2(A, B) & m1_group_2(B, A))  => g3_algstr_0(u1_struct_0(A), u2_algstr_0(A))=g3_algstr_0(u1_struct_0(B), u2_algstr_0(B))) ) ) ) ) ).
fof(t56_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) & l3_algstr_0(C)) ) )  =>  ( (m1_group_2(A, B) & m1_group_2(B, C))  => m1_group_2(A, C)) ) ) ) ) ) ) ).
fof(t57_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (r1_tarski(u1_struct_0(B), u1_struct_0(C)) => m1_group_2(B, C)) ) ) ) ) ) ) ).
fof(t58_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_struct_0(B, D) => r1_struct_0(C, D)) ) )  => m1_group_2(B, C)) ) ) ) ) ) ) ).
fof(t59_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (u1_struct_0(B)=u1_struct_0(C) => g3_algstr_0(u1_struct_0(B), u2_algstr_0(B))=g3_algstr_0(u1_struct_0(C), u2_algstr_0(C))) ) ) ) ) ) ) ).
fof(t60_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_struct_0(B, D) <=> r1_struct_0(C, D)) ) )  => g3_algstr_0(u1_struct_0(B), u2_algstr_0(B))=g3_algstr_0(u1_struct_0(C), u2_algstr_0(C))) ) ) ) ) ) ) ).
fof(d6_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  (! [C] :  ( (v15_algstr_0(C) & m1_group_2(C, A))  =>  (r1_group_2(A, B, C) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_struct_0(B, D) <=> r1_struct_0(C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t61_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (r1_tarski(u1_struct_0(A), u1_struct_0(B)) => g3_algstr_0(u1_struct_0(B), u2_algstr_0(B))=g3_algstr_0(u1_struct_0(A), u2_algstr_0(A))) ) ) ) ) ).
fof(t62_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_struct_0(B, C)) )  => g3_algstr_0(u1_struct_0(B), u2_algstr_0(B))=g3_algstr_0(u1_struct_0(A), u2_algstr_0(A))) ) ) ) ) ).
fof(d7_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  (B=k6_group_2(A) <=> u1_struct_0(B)=k6_domain_1(u1_struct_0(A), k1_group_1(A))) ) ) ) ) ).
fof(d8_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  => k7_group_2(A)=g3_algstr_0(u1_struct_0(A), u2_algstr_0(A))) ) ).
fof(t63_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) => k6_group_2(B)=k6_group_2(A)) ) ) ) ).
fof(t64_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) => k6_group_2(B)=k6_group_2(C)) ) ) ) ) ) ).
fof(t65_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) => m1_group_2(k6_group_2(A), B)) ) ) ) ).
fof(t66_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_group_2(B, A) => m1_group_2(B, k7_group_2(A))) ) ) ) ).
fof(t67_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  => m1_group_2(A, k7_group_2(A))) ) ).
fof(t68_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  => v8_struct_0(k6_group_2(A))) ) ).
fof(t69_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  => k7_group_1(k6_group_2(A))=1) ) ).
fof(t70_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v8_struct_0(B) &  (v15_algstr_0(B) & m1_group_2(B, A)) )  =>  (k7_group_1(B)=1 => r1_group_2(A, B, k6_group_2(A))) ) ) ) ) ).
fof(t71_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) => r1_ordinal1(k7_struct_0(B), k7_struct_0(A))) ) ) ) ).
fof(t72_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_group_2(B, A) => r1_xxreal_0(k7_group_1(B), k7_group_1(A))) ) ) ) ).
fof(t73_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (k7_group_1(A)=k7_group_1(B) => g3_algstr_0(u1_struct_0(B), u2_algstr_0(B))=g3_algstr_0(u1_struct_0(A), u2_algstr_0(A))) ) ) ) ) ).
fof(d9_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) => k8_group_2(A, B)=u1_struct_0(B)) ) ) ) ).
fof(t74_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_group_2(D, A) =>  ( (r2_tarski(B, k8_group_2(A, D)) & r2_tarski(C, k8_group_2(A, D)))  => r2_tarski(k6_algstr_0(A, B, C), k8_group_2(A, D))) ) ) ) ) ) ) ) ) ).
fof(t75_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_2(C, A) =>  (r2_tarski(B, k8_group_2(A, C)) => r2_tarski(k2_group_1(A, B), k8_group_2(A, C))) ) ) ) ) ) ) ).
fof(t76_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) => k2_group_2(A, k8_group_2(A, B), k8_group_2(A, B))=k8_group_2(A, B)) ) ) ) ).
fof(t77_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) => k1_group_2(A, k8_group_2(A, B))=k8_group_2(A, B)) ) ) ) ).
fof(t78_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  ( ~ ( (k2_group_2(A, k8_group_2(A, B), k8_group_2(A, C))=k2_group_2(A, k8_group_2(A, C), k8_group_2(A, B)) &  (! [D] :  ( (v15_algstr_0(D) & m1_group_2(D, A))  =>  ~ (u1_struct_0(D)=k2_group_2(A, k8_group_2(A, B), k8_group_2(A, C))) ) ) ) )  &  ( (? [D] :  (m1_group_2(D, A) & u1_struct_0(D)=k2_group_2(A, k8_group_2(A, B), k8_group_2(A, C))) )  => k2_group_2(A, k8_group_2(A, B), k8_group_2(A, C))=k2_group_2(A, k8_group_2(A, C), k8_group_2(A, B))) ) ) ) ) ) ) ) ).
fof(t79_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  ~ ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) )  &  (! [D] :  ( (v15_algstr_0(D) & m1_group_2(D, A))  =>  ~ (u1_struct_0(D)=k2_group_2(A, k8_group_2(A, B), k8_group_2(A, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  ( (v15_algstr_0(D) & m1_group_2(D, A))  =>  (D=k9_group_2(A, B, C) <=> u1_struct_0(D)=k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)), k8_group_2(A, B), k8_group_2(A, C))) ) ) ) ) ) ) ) ) ).
fof(t80_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  ( (! [D] :  (m1_group_2(D, A) =>  (D=k9_group_2(A, B, C) => u1_struct_0(D)=k3_xboole_0(u1_struct_0(B), u1_struct_0(C))) ) )  &  (! [D] :  ( (v15_algstr_0(D) & m1_group_2(D, A))  =>  (u1_struct_0(D)=k3_xboole_0(u1_struct_0(B), u1_struct_0(C)) => r1_group_2(A, D, k9_group_2(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t81_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) => k8_group_2(A, k9_group_2(A, B, C))=k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)), k8_group_2(A, B), k8_group_2(A, C))) ) ) ) ) ) ).
fof(t82_group_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_group_2(C, B) =>  (! [D] :  (m1_group_2(D, B) =>  (r1_struct_0(k9_group_2(B, C, D), A) <=>  (r1_struct_0(C, A) & r1_struct_0(D, A)) ) ) ) ) ) ) ) ) ).
fof(t83_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  => r1_group_2(A, k9_group_2(A, B, B), B)) ) ) ) ).
fof(t84_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_group_2(D, A) => r1_group_2(A, k10_group_2(A, k10_group_2(A, B, C), D), k10_group_2(A, B, k10_group_2(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t85_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (r1_group_2(A, k10_group_2(A, k6_group_2(A), B), k6_group_2(A)) & r1_group_2(A, k10_group_2(A, B, k6_group_2(A)), k6_group_2(A))) ) ) ) ) ).
fof(t86_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  (r1_group_2(A, k10_group_2(A, B, k7_group_2(A)), B) & r1_group_2(A, k10_group_2(A, k7_group_2(A), B), B)) ) ) ) ) ).
fof(t87_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  => k10_group_2(A, k7_group_2(A), k7_group_2(A))=A) ) ).
fof(t88_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (m1_group_2(k10_group_2(A, B, C), B) & m1_group_2(k10_group_2(A, B, C), C)) ) ) ) ) ) ) ).
fof(t89_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (m1_group_2(C, B) <=> g3_algstr_0(u1_struct_0(k10_group_2(A, C, B)), u2_algstr_0(k10_group_2(A, C, B)))=g3_algstr_0(u1_struct_0(C), u2_algstr_0(C))) ) ) ) ) ) ) ).
fof(t90_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_group_2(D, A) =>  (m1_group_2(B, C) => m1_group_2(k10_group_2(A, B, D), C)) ) ) ) ) ) ) ) ) ).
fof(t91_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_group_2(D, A) =>  ( (m1_group_2(B, C) & m1_group_2(B, D))  => m1_group_2(B, k10_group_2(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t92_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_group_2(D, A) =>  (m1_group_2(B, C) => m1_group_2(k10_group_2(A, B, D), k10_group_2(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t93_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  ( (v8_struct_0(B) | v8_struct_0(C))  => v8_struct_0(k10_group_2(A, B, C))) ) ) ) ) ) ) ).
fof(d11_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k11_group_2(A, B, C)=k2_group_2(A, C, k8_group_2(A, B))) ) ) ) ) ) ).
fof(d12_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k12_group_2(A, B, C)=k2_group_2(A, k8_group_2(A, B), C)) ) ) ) ) ) ).
fof(t94_group_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_group_2(D, B) =>  (r2_hidden(A, k11_group_2(B, D, C)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (A=k6_algstr_0(B, E, F) &  (r2_tarski(E, C) & r1_struct_0(D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t95_group_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_group_2(D, B) =>  (r2_hidden(A, k12_group_2(B, D, C)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (A=k6_algstr_0(B, E, F) &  (r1_struct_0(D, E) & r2_tarski(F, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t96_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_group_2(D, A) => k11_group_2(A, D, k2_group_2(A, B, C))=k2_group_2(A, B, k11_group_2(A, D, C))) ) ) ) ) ) ) ) ).
fof(t97_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_group_2(D, A) => k2_group_2(A, k11_group_2(A, D, B), C)=k2_group_2(A, B, k12_group_2(A, D, C))) ) ) ) ) ) ) ) ).
fof(t98_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_group_2(D, A) => k2_group_2(A, k12_group_2(A, D, B), C)=k12_group_2(A, D, k2_group_2(A, B, C))) ) ) ) ) ) ) ) ).
fof(t99_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_group_2(D, A) => k11_group_2(A, D, k11_group_2(A, C, B))=k2_group_2(A, B, k12_group_2(A, C, k8_group_2(A, D)))) ) ) ) ) ) ) ) ).
fof(t100_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_group_2(D, A) => k11_group_2(A, D, k12_group_2(A, C, B))=k12_group_2(A, C, k11_group_2(A, D, B))) ) ) ) ) ) ) ) ).
fof(t101_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_group_2(D, A) => k2_group_2(A, k12_group_2(A, C, k8_group_2(A, D)), B)=k12_group_2(A, C, k12_group_2(A, D, B))) ) ) ) ) ) ) ) ).
fof(t102_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_group_2(C, A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) )  => k11_group_2(A, C, B)=k12_group_2(A, C, B)) ) ) ) ) ) ) ).
fof(d13_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k13_group_2(A, B, C)=k4_group_2(A, C, k8_group_2(A, B))) ) ) ) ) ) ).
fof(d14_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k14_group_2(A, B, C)=k5_group_2(A, C, k8_group_2(A, B))) ) ) ) ) ) ).
fof(t103_group_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_group_2(D, B) =>  (r2_hidden(A, k13_group_2(B, D, C)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k6_algstr_0(B, C, E) & r1_struct_0(D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t104_group_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_group_2(D, B) =>  (r2_hidden(A, k14_group_2(B, D, C)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k6_algstr_0(B, E, C) & r1_struct_0(D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t105_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_group_2(D, A) => k13_group_2(A, D, k6_algstr_0(A, B, C))=k4_group_2(A, B, k13_group_2(A, D, C))) ) ) ) ) ) ) ) ).
fof(t106_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_group_2(D, A) => k5_group_2(A, C, k13_group_2(A, D, B))=k4_group_2(A, B, k14_group_2(A, D, C))) ) ) ) ) ) ) ) ).
fof(t107_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_group_2(D, A) => k5_group_2(A, C, k14_group_2(A, D, B))=k14_group_2(A, D, k6_algstr_0(A, B, C))) ) ) ) ) ) ) ) ).
fof(t108_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_2(C, A) =>  (r2_tarski(B, k13_group_2(A, C, B)) & r2_tarski(B, k14_group_2(A, C, B))) ) ) ) ) ) ) ).
fof(t109_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (k13_group_2(A, B, k1_group_1(A))=k8_group_2(A, B) & k14_group_2(A, B, k1_group_1(A))=k8_group_2(A, B)) ) ) ) ) ).
fof(t110_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k14_group_2(A, k6_group_2(A), B)=k6_domain_1(u1_struct_0(A), B) & k13_group_2(A, k6_group_2(A), B)=k6_domain_1(u1_struct_0(A), B)) ) ) ) ) ).
fof(t111_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k13_group_2(A, k7_group_2(A), B)=u1_struct_0(A) & k14_group_2(A, k7_group_2(A), B)=u1_struct_0(A)) ) ) ) ) ).
fof(t112_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_2(C, A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) )  => k13_group_2(A, C, B)=k14_group_2(A, C, B)) ) ) ) ) ) ) ).
fof(t113_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_2(C, A) =>  (r1_struct_0(C, B) <=> k13_group_2(A, C, B)=k8_group_2(A, C)) ) ) ) ) ) ) ).
fof(t114_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_group_2(D, A) =>  (k13_group_2(A, D, B)=k13_group_2(A, D, C) <=> r1_struct_0(D, k6_algstr_0(A, k2_group_1(A, C), B))) ) ) ) ) ) ) ) ) ).
fof(t115_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_group_2(D, A) =>  (k13_group_2(A, D, B)=k13_group_2(A, D, C) <=>  ~ (r1_xboole_0(k13_group_2(A, D, B), k13_group_2(A, D, C))) ) ) ) ) ) ) ) ) ) ).
fof(t116_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_group_2(D, A) => r1_tarski(k13_group_2(A, D, k6_algstr_0(A, B, C)), k2_group_2(A, k13_group_2(A, D, B), k13_group_2(A, D, C)))) ) ) ) ) ) ) ) ).
fof(t117_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_2(C, A) =>  (r1_tarski(k8_group_2(A, C), k2_group_2(A, k13_group_2(A, C, B), k13_group_2(A, C, k2_group_1(A, B)))) & r1_tarski(k8_group_2(A, C), k2_group_2(A, k13_group_2(A, C, k2_group_1(A, B)), k13_group_2(A, C, B)))) ) ) ) ) ) ) ).
fof(t118_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_2(C, A) => r1_tarski(k13_group_2(A, C, k5_group_1(A, B, 2)), k2_group_2(A, k13_group_2(A, C, B), k13_group_2(A, C, B)))) ) ) ) ) ) ).
fof(t119_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_2(C, A) =>  (r1_struct_0(C, B) <=> k14_group_2(A, C, B)=k8_group_2(A, C)) ) ) ) ) ) ) ).
fof(t120_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_group_2(D, A) =>  (k14_group_2(A, D, B)=k14_group_2(A, D, C) <=> r1_struct_0(D, k6_algstr_0(A, C, k2_group_1(A, B)))) ) ) ) ) ) ) ) ) ).
fof(t121_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_group_2(D, A) =>  (k14_group_2(A, D, B)=k14_group_2(A, D, C) <=>  ~ (r1_xboole_0(k14_group_2(A, D, B), k14_group_2(A, D, C))) ) ) ) ) ) ) ) ) ) ).
fof(t122_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_group_2(D, A) => r1_tarski(k5_group_2(A, C, k14_group_2(A, D, B)), k2_group_2(A, k14_group_2(A, D, B), k14_group_2(A, D, C)))) ) ) ) ) ) ) ) ).
fof(t123_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_2(C, A) =>  (r1_tarski(k8_group_2(A, C), k2_group_2(A, k14_group_2(A, C, B), k14_group_2(A, C, k2_group_1(A, B)))) & r1_tarski(k8_group_2(A, C), k2_group_2(A, k14_group_2(A, C, k2_group_1(A, B)), k14_group_2(A, C, B)))) ) ) ) ) ) ) ).
fof(t124_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_2(C, A) => r1_tarski(k14_group_2(A, C, k5_group_1(A, B, 2)), k2_group_2(A, k14_group_2(A, C, B), k14_group_2(A, C, B)))) ) ) ) ) ) ).
fof(t125_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_group_2(D, A) => k13_group_2(A, k10_group_2(A, C, D), B)=k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)), k13_group_2(A, C, B), k13_group_2(A, D, B))) ) ) ) ) ) ) ) ).
fof(t126_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_group_2(D, A) => k14_group_2(A, k10_group_2(A, C, D), B)=k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)), k14_group_2(A, C, B), k14_group_2(A, D, B))) ) ) ) ) ) ) ) ).
fof(t127_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_2(C, A) =>  (? [D] :  ( (v15_algstr_0(D) & m1_group_2(D, A))  & u1_struct_0(D)=k5_group_2(A, k2_group_1(A, B), k13_group_2(A, C, B))) ) ) ) ) ) ) ) ).
fof(t128_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_group_2(D, A) => r2_wellord2(k13_group_2(A, D, B), k13_group_2(A, D, C))) ) ) ) ) ) ) ) ).
fof(t129_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_group_2(D, A) => r2_wellord2(k13_group_2(A, D, B), k14_group_2(A, D, C))) ) ) ) ) ) ) ) ).
fof(t130_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_group_2(D, A) => r2_wellord2(k14_group_2(A, D, B), k14_group_2(A, D, C))) ) ) ) ) ) ) ) ).
fof(t131_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_2(C, A) =>  (r2_wellord2(k8_group_2(A, C), k13_group_2(A, C, B)) & r2_wellord2(k8_group_2(A, C), k14_group_2(A, C, B))) ) ) ) ) ) ) ).
fof(t132_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_2(C, A) =>  (k7_struct_0(C)=k1_card_1(k13_group_2(A, C, B)) & k7_struct_0(C)=k1_card_1(k14_group_2(A, C, B))) ) ) ) ) ) ) ).
fof(t133_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v8_struct_0(C) & m1_group_2(C, A))  =>  (? [D] :  (v1_finset_1(D) &  (? [E] :  (v1_finset_1(E) &  (D=k13_group_2(A, C, B) &  (E=k14_group_2(A, C, B) &  (k7_group_1(C)=k4_card_1(D) & k7_group_1(C)=k4_card_1(E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (C=k15_group_2(A, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(D, C) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) & D=k13_group_2(A, B, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (C=k16_group_2(A, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(D, C) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) & D=k14_group_2(A, B, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t134_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (v8_struct_0(A) =>  (v1_finset_1(k16_group_2(A, B)) & v1_finset_1(k15_group_2(A, B))) ) ) ) ) ) ).
fof(t135_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (r2_tarski(k8_group_2(A, B), k15_group_2(A, B)) & r2_tarski(k8_group_2(A, B), k16_group_2(A, B))) ) ) ) ) ).
fof(t136_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) => r2_wellord2(k15_group_2(A, B), k16_group_2(A, B))) ) ) ) ).
fof(t137_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (k5_setfam_1(u1_struct_0(A), k15_group_2(A, B))=u1_struct_0(A) & k5_setfam_1(u1_struct_0(A), k16_group_2(A, B))=u1_struct_0(A)) ) ) ) ) ).
fof(t142_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (k15_group_2(A, k7_group_2(A))=k1_tarski(u1_struct_0(A)) & k16_group_2(A, k7_group_2(A))=k1_tarski(u1_struct_0(A))) ) ) ).
fof(t143_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  (k15_group_2(A, B)=k1_tarski(u1_struct_0(A)) => B=A) ) ) ) ) ).
fof(t144_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  (k16_group_2(A, B)=k1_tarski(u1_struct_0(A)) => B=A) ) ) ) ) ).
fof(d17_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) => k17_group_2(A, B)=k1_card_1(k15_group_2(A, B))) ) ) ) ).
fof(t145_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (k17_group_2(A, B)=k1_card_1(k15_group_2(A, B)) & k17_group_2(A, B)=k1_card_1(k16_group_2(A, B))) ) ) ) ) ).
fof(d18_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (v1_finset_1(k15_group_2(A, B)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (C=k18_group_2(A, B) <=>  (? [D] :  (v1_finset_1(D) &  (D=k15_group_2(A, B) & C=k4_card_1(D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t146_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (v1_finset_1(k15_group_2(A, B)) =>  ( (? [C] :  (v1_finset_1(C) &  (C=k15_group_2(A, B) & k18_group_2(A, B)=k4_card_1(C)) ) )  &  (? [C] :  (v1_finset_1(C) &  (C=k16_group_2(A, B) & k18_group_2(A, B)=k4_card_1(C)) ) ) ) ) ) ) ) ) ).
fof(t147_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_group_2(B, A) => k7_group_1(A)=k2_nat_1(k7_group_1(B), k18_group_2(A, B))) ) ) ) ).
fof(t148_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_group_2(B, A) => r1_nat_d(k7_group_1(B), k7_group_1(A))) ) ) ) ).
fof(t149_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_group_2(D, C) =>  (B=D => k18_group_2(A, B)=k2_nat_1(k18_group_2(C, D), k18_group_2(A, C))) ) ) ) ) ) ) ) ) ).
fof(t150_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  => k18_group_2(A, k7_group_2(A))=1) ) ).
fof(t151_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  ( (v1_finset_1(k15_group_2(A, B)) & k18_group_2(A, B)=1)  => B=A) ) ) ) ) ).
fof(t152_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  => k17_group_2(A, k6_group_2(A))=k7_struct_0(A)) ) ).
fof(t153_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  => k18_group_2(A, k6_group_2(A))=k7_group_1(A)) ) ).
fof(t154_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  (k18_group_2(A, B)=k7_group_1(A) => r1_group_2(A, B, k6_group_2(A))) ) ) ) ) ).
fof(t155_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  ( (v1_finset_1(k15_group_2(A, B)) & k17_group_2(A, B)=k7_struct_0(A))  =>  (v8_struct_0(A) & r1_group_2(A, B, k6_group_2(A))) ) ) ) ) ) ).
fof(t156_group_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_finset_1(B) =>  ~ ( ( (! [C] :  ~ ( (r2_tarski(C, B) &  (! [D] :  (v1_finset_1(D) =>  ~ ( (D=C &  (k4_card_1(D)=A &  (! [E] :  (r2_tarski(E, B) =>  (C=E |  (r2_wellord2(C, E) & r1_xboole_0(C, E)) ) ) ) ) ) ) ) ) ) ) )  &  (! [C] :  (v1_finset_1(C) =>  ~ ( (C=k3_tarski(B) & k4_card_1(C)=k3_xcmplx_0(A, k4_card_1(B))) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_group_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k1_group_2(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(involutiveness_k1_group_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => k1_group_2(A, k1_group_2(A, B))=B) ) ).
fof(dt_k2_group_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k2_group_2(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k3_group_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v5_group_1(A) & l3_algstr_0(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k3_group_2(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(commutativity_k3_group_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v5_group_1(A) & l3_algstr_0(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => k3_group_2(A, B, C)=k3_group_2(A, C, B)) ) ).
fof(redefinition_k3_group_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v5_group_1(A) & l3_algstr_0(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => k3_group_2(A, B, C)=k2_group_2(A, B, C)) ) ).
fof(dt_k4_group_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k4_group_2(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k5_group_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k5_group_2(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_m1_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  (m1_group_2(B, A) =>  ( ~ (v2_struct_0(B))  &  (v2_group_1(B) & l3_algstr_0(B)) ) ) ) ) ) ).
fof(existence_m1_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) & l3_algstr_0(A)) )  =>  (? [B] : m1_group_2(B, A)) ) ) ).
fof(symmetry_r1_group_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  ( (v15_algstr_0(B) & m1_group_2(B, A))  &  (v15_algstr_0(C) & m1_group_2(C, A)) ) )  =>  (r1_group_2(A, B, C) => r1_group_2(A, C, B)) ) ) ).
fof(reflexivity_r1_group_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  ( (v15_algstr_0(B) & m1_group_2(B, A))  &  (v15_algstr_0(C) & m1_group_2(C, A)) ) )  => r1_group_2(A, B, B)) ) ).
fof(redefinition_r1_group_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  ( (v15_algstr_0(B) & m1_group_2(B, A))  &  (v15_algstr_0(C) & m1_group_2(C, A)) ) )  =>  (r1_group_2(A, B, C) <=> B=C) ) ) ).
fof(dt_k6_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (v15_algstr_0(k6_group_2(A)) & m1_group_2(k6_group_2(A), A)) ) ) ).
fof(dt_k7_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (v15_algstr_0(k7_group_2(A)) & m1_group_2(k7_group_2(A), A)) ) ) ).
fof(projectivity_k7_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  => k7_group_2(k7_group_2(A))=k7_group_2(A)) ) ).
fof(dt_k8_group_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  & m1_group_2(B, A))  => m1_subset_1(k8_group_2(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k9_group_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_group_2(B, A) & m1_group_2(C, A)) )  =>  (v15_algstr_0(k9_group_2(A, B, C)) & m1_group_2(k9_group_2(A, B, C), A)) ) ) ).
fof(dt_k10_group_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_group_2(B, A) & m1_group_2(C, A)) )  =>  (v15_algstr_0(k10_group_2(A, B, C)) & m1_group_2(k10_group_2(A, B, C), A)) ) ) ).
fof(commutativity_k10_group_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_group_2(B, A) & m1_group_2(C, A)) )  => k10_group_2(A, B, C)=k10_group_2(A, C, B)) ) ).
fof(redefinition_k10_group_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_group_2(B, A) & m1_group_2(C, A)) )  => k10_group_2(A, B, C)=k9_group_2(A, B, C)) ) ).
fof(dt_k11_group_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_group_2(B, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k11_group_2(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k12_group_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_group_2(B, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k12_group_2(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k13_group_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_group_2(B, A) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k13_group_2(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k14_group_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_group_2(B, A) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k14_group_2(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k15_group_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  & m1_group_2(B, A))  => m1_subset_1(k15_group_2(A, B), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k16_group_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  & m1_group_2(B, A))  => m1_subset_1(k16_group_2(A, B), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k17_group_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  & m1_group_2(B, A))  => v1_card_1(k17_group_2(A, B))) ) ).
fof(dt_k18_group_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  & m1_group_2(B, A))  => m1_subset_1(k18_group_2(A, B), k4_ordinal1)) ) ).
fof(d1_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k1_group_2(A, B)=a_2_0_group_2(A, B)) ) ) ) ).
fof(d2_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k2_group_2(A, B, C)=a_3_0_group_2(A, B, C)) ) ) ) ) ) ).
fof(t138_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  => k15_group_2(A, k6_group_2(A))=a_1_0_group_2(A)) ) ).
fof(t139_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  => k16_group_2(A, k6_group_2(A))=a_1_0_group_2(A)) ) ).
fof(t140_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  (k15_group_2(A, B)=a_1_0_group_2(A) => r1_group_2(A, B, k6_group_2(A))) ) ) ) ) ).
fof(t141_group_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  (k16_group_2(A, B)=a_1_0_group_2(A) => r1_group_2(A, B, k6_group_2(A))) ) ) ) ) ).
fof(fraenkel_a_2_0_group_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_0_group_2(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=k2_group_1(B, D) & r2_tarski(D, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_group_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  &  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (r2_hidden(A, a_3_0_group_2(B, C, D)) <=>  (? [E, F] :  ( (m1_subset_1(E, u1_struct_0(B)) & m1_subset_1(F, u1_struct_0(B)))  &  (A=k6_algstr_0(B, E, F) &  (r2_tarski(E, C) & r2_tarski(F, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_group_2, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (r2_hidden(A, a_1_0_group_2(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(B)) & A=k6_domain_1(u1_struct_0(B), C)) ) ) ) ) ).
fof(rc1_group_20, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (? [C] :  (m1_group_20(C, A, B) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v2_pralg_1(C) &  (v1_group_7(C) &  (v2_group_7(C, A) &  (v3_group_7(C, A) & v1_group_20(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_group_20, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v1_group_7(C) &  (v2_group_7(C, A) & v3_group_7(C, A)) ) ) ) ) )  =>  (m1_group_20(C, A, B) <=>  (! [D] :  (r2_hidden(D, A) => m1_group_2(k1_funct_1(C, D), B)) ) ) ) ) ) ) ) ).
fof(d2_group_20, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_group_20(C, A, B) =>  (v1_group_20(C, A, B) <=>  (! [D] :  (! [E] :  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  ~ ( (r2_hidden(D, A) &  (r2_hidden(E, A) &  ( ~ (D=E)  &  (! [H] :  (m1_group_2(H, B) =>  (! [I] :  (m1_group_2(I, B) =>  ~ ( (H=k1_funct_1(C, D) &  (I=k1_funct_1(C, E) &  ( (r1_struct_0(H, F) & r1_struct_0(I, G))  => k6_algstr_0(B, F, G)=k6_algstr_0(B, G, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_group_20, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_group_20(C, A, B) =>  (v1_group_20(C, A, B) <=>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  ( (r1_struct_0(k2_group_19(A, C, D), F) & r1_struct_0(k2_group_19(A, C, E), G))  =>  (D=E | k6_algstr_0(B, F, G)=k6_algstr_0(B, G, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_group_20, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_group_3(B, A) & m1_group_2(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_struct_0(B, D) =>  (r1_struct_0(B, k6_algstr_0(A, k6_algstr_0(A, C, D), k2_group_1(A, C))) & r1_struct_0(B, k6_algstr_0(A, C, k6_algstr_0(A, D, k2_group_1(A, C))))) ) ) ) ) ) ) ) ) ) ).
fof(t2_group_20, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v1_group_7(C) &  (v2_group_7(C, A) & v3_group_7(C, A)) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  =>  (r1_struct_0(k2_group_7(A, C), D) =>  (v1_funct_1(D) &  (v1_funct_2(D, A, k3_card_3(k12_pralg_1(A, C))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k3_card_3(k12_pralg_1(A, C)))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_group_20, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_group_2(C, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(C))))) )  =>  (r1_funct_2(A, u1_struct_0(B), A, u1_struct_0(C), D, E) => k4_group_19(A, B, D)=k4_group_19(A, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_group_20, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_group_2(C, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(C)) &  (v1_group_19(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(C))))) ) )  =>  (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(B)) &  (v1_group_19(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_group_20, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_group_2(C, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(B)) &  (v1_group_19(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  (r1_tarski(k2_relset_1(u1_struct_0(B), D), k2_struct_0(C)) =>  (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(C)) &  (v1_group_19(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(C))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_group_20, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_group_2(C, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(B)) &  (v1_group_19(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(C)) &  (v1_group_19(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(C))))) ) )  =>  (r1_funct_2(A, u1_struct_0(B), A, u1_struct_0(C), D, E) => k5_group_19(A, B, D)=k5_group_19(A, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_group_20, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] : A=k1_funct_7(k1_funct_7(A, B, C), B, k1_funct_1(A, B))) ) ) ) ).
fof(t8_group_20, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_group_20(C, A, B) & m1_group_20(C, A, B))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(B)) &  (v1_group_19(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(B)) &  (v1_group_19(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  (! [F] :  (m1_subset_1(F, A) =>  ( (E=k1_funct_7(D, F, k1_group_1(k2_group_19(A, C, F))) & r1_struct_0(k2_group_7(A, C), D))  =>  (k5_group_19(A, B, D)=k6_algstr_0(B, k5_group_19(A, B, E), k3_funct_2(A, u1_struct_0(B), D, F)) & k6_algstr_0(B, k5_group_19(A, B, E), k3_funct_2(A, u1_struct_0(B), D, F))=k6_algstr_0(B, k3_funct_2(A, u1_struct_0(B), D, F), k5_group_19(A, B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_group_20, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_group_20(C, A, B) & m1_group_20(C, A, B))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, u1_struct_0(k5_group_4(B, D))) &  (v1_group_19(F, A, k5_group_4(B, D)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k5_group_4(B, D)))))) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, u1_struct_0(k5_group_4(B, D))) &  (v1_group_19(G, A, k5_group_4(B, D)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k5_group_4(B, D)))))) ) )  =>  ( (G=k1_funct_7(F, E, k1_group_1(k2_group_19(A, C, E))) & r1_struct_0(k2_group_7(A, C), F))  =>  (k5_group_19(A, k5_group_4(B, D), F)=k6_algstr_0(k5_group_4(B, D), k5_group_19(A, k5_group_4(B, D), G), k3_funct_2(A, u1_struct_0(k5_group_4(B, D)), F, E)) & k6_algstr_0(k5_group_4(B, D), k5_group_19(A, k5_group_4(B, D), G), k3_funct_2(A, u1_struct_0(k5_group_4(B, D)), F, E))=k6_algstr_0(k5_group_4(B, D), k3_funct_2(A, u1_struct_0(k5_group_4(B, D)), F, E), k5_group_19(A, k5_group_4(B, D), G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_group_20, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_group_20(C, A, B) & m1_group_20(C, A, B))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(k5_group_4(B, D))) &  (v1_group_19(E, A, k5_group_4(B, D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k5_group_4(B, D)))))) ) )  =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_group_4(B, D))) =>  ( (r1_struct_0(k2_group_7(A, C), E) &  (k3_funct_2(A, u1_struct_0(k5_group_4(B, D)), E, F)=k1_group_1(k2_group_19(A, C, F)) & r1_struct_0(k2_group_19(A, C, F), G)) )  => k6_algstr_0(k5_group_4(B, D), k5_group_19(A, k5_group_4(B, D), E), G)=k6_algstr_0(k5_group_4(B, D), G, k5_group_19(A, k5_group_4(B, D), E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_group_20, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_group_20(C, A, B) & m1_group_20(C, A, B))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (D=k3_card_3(k12_pralg_1(A, C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m2_finseq_1(F, u1_struct_0(B)) =>  (! [G] :  (m2_finseq_1(G, k4_numbers) =>  ~ ( (k3_finseq_1(F)=k3_finseq_1(G) &  (r1_tarski(k2_relset_1(u1_struct_0(B), F), D) &  (k3_group_4(B, k4_group_4(B, G, F))=E &  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, A, u1_struct_0(B)) &  (v1_group_19(H, A, B) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  ~ ( (r1_struct_0(k2_group_7(A, C), H) & E=k5_group_19(A, B, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_group_20, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_group_20(C, A, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(B)) &  (v1_group_19(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(B)) &  (v1_group_19(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(B))) =>  ( (G=k3_card_3(k5_relat_1(k12_pralg_1(A, C), k6_subset_1(A, k6_domain_1(A, F)))) &  (E=k1_funct_7(D, F, k1_group_1(k2_group_19(A, C, F))) & r1_struct_0(k2_group_7(A, C), D)) )  => r1_struct_0(k5_group_4(B, G), k5_group_19(A, B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_group_20, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_group_20(C, A, B) & m1_group_20(C, A, B))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (D=k3_card_3(k12_pralg_1(A, C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  ~ ( (r1_struct_0(k5_group_4(B, D), E) &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, u1_struct_0(k5_group_4(B, D))) &  (v1_group_19(F, A, k5_group_4(B, D)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k5_group_4(B, D)))))) ) )  =>  ~ ( (r1_struct_0(k3_group_7(A, C), F) & E=k5_group_19(A, k5_group_4(B, D), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_group_20, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_group_20(C, A, B) & m1_group_20(C, A, B))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (D=k3_card_3(k12_pralg_1(A, C)) =>  (! [E] :  (m1_subset_1(E, A) =>  (v1_group_3(k2_group_19(A, C, E), k5_group_4(B, D)) & m1_group_6(k2_group_19(A, C, E), B, k5_group_4(B, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_group_20, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_group_20(C, A, B) & m1_group_20(C, A, B))  =>  ( (! [D] :  (m1_subset_1(D, A) =>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) &  (E=k3_card_3(k5_relat_1(k12_pralg_1(A, C), k6_subset_1(A, k6_domain_1(A, D)))) & k9_subset_1(u1_struct_0(k2_group_19(A, C, D)), k2_struct_0(k5_group_4(B, E)), k2_struct_0(k2_group_19(A, C, D)))=k6_domain_1(u1_struct_0(B), k1_group_1(B))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(B)) &  (v1_group_19(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(B)) &  (v1_group_19(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  ( (r1_struct_0(k3_group_7(A, C), D) &  (r1_struct_0(k3_group_7(A, C), E) & k5_group_19(A, B, D)=k5_group_19(A, B, E)) )  => r2_funct_2(A, u1_struct_0(B), D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_group_20, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v15_algstr_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v1_group_7(C) &  (v2_group_7(C, A) & v3_group_7(C, A)) ) ) ) ) )  =>  ( (v2_group_19(C, A, B) & m1_group_19(C, A, B))  <=>  ( (! [D] :  (m1_subset_1(D, A) =>  (v1_group_3(k2_group_19(A, C, D), B) & m1_group_2(k2_group_19(A, C, D), B)) ) )  &  ( (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) &  (D=k3_card_3(k12_pralg_1(A, C)) & k5_group_4(B, D)=B) ) )  &  (! [D] :  (m1_subset_1(D, A) =>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) &  (E=k3_card_3(k5_relat_1(k12_pralg_1(A, C), k6_subset_1(A, k6_domain_1(A, D)))) & k9_subset_1(u1_struct_0(k2_group_19(A, C, D)), k2_struct_0(k5_group_4(B, E)), k2_struct_0(k2_group_19(A, C, D)))=k6_domain_1(u1_struct_0(B), k1_group_1(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_group_20, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v1_group_7(C) &  (v2_group_7(C, A) & v3_group_7(C, A)) ) ) ) ) )  =>  ( (v2_group_19(C, A, B) & m1_group_19(C, A, B))  <=>  ( (! [D] :  (m1_subset_1(D, A) => m1_group_2(k2_group_19(A, C, D), B)) )  &  ( (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  ( ~ (D=E)  => k9_subset_1(u1_struct_0(k2_group_19(A, C, E)), k2_struct_0(k2_group_19(A, C, D)), k2_struct_0(k2_group_19(A, C, E)))=k6_domain_1(u1_struct_0(B), k1_group_1(B))) ) ) ) )  &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(B)) &  (v1_group_19(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  &  (r1_struct_0(k3_group_7(A, C), E) & D=k5_group_19(A, B, E)) ) ) ) )  &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(B)) &  (v1_group_19(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(B)) &  (v1_group_19(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  ( (r1_struct_0(k3_group_7(A, C), D) &  (r1_struct_0(k3_group_7(A, C), E) & k5_group_19(A, B, D)=k5_group_19(A, B, E)) )  => r2_funct_2(A, u1_struct_0(B), D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_group_20, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_group_20(C, A, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k3_group_7(A, C)), u1_struct_0(B)) &  (v1_group_6(D, k3_group_7(A, C), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_group_7(A, C)), u1_struct_0(B))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(B)) &  (v1_group_19(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  ( (r1_struct_0(k3_group_7(A, C), E) &  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k2_group_19(A, C, F))) => k1_funct_1(D, k3_funct_2(u1_struct_0(k2_group_19(A, C, F)), u1_struct_0(k2_group_12(A, C, F)), k3_group_12(A, C, F), G))=G) ) ) ) )  => k1_funct_1(D, E)=k5_group_19(A, B, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_group_20, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_group_19(C, A, B) =>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k3_group_7(A, C)), u1_struct_0(B)) &  (v1_group_6(D, k3_group_7(A, C), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_group_7(A, C)), u1_struct_0(B))))) ) )  &  (? [E] :  ( (v2_group_19(E, A, B) & m1_group_19(E, A, B))  &  (v3_funct_2(D, u1_struct_0(k3_group_7(A, C)), u1_struct_0(B)) &  (! [F] :  (m1_subset_1(F, A) =>  (? [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(k2_group_19(A, C, F)), u1_struct_0(k2_group_19(A, E, F))) &  (v1_group_6(G, k2_group_19(A, C, F), k2_group_19(A, E, F)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_19(A, C, F)), u1_struct_0(k2_group_19(A, E, F)))))) ) )  &  (G=k1_partfun1(u1_struct_0(k1_group_7(A, C, F)), u1_struct_0(k2_group_12(A, C, F)), u1_struct_0(k3_group_7(A, C)), u1_struct_0(B), k3_group_12(A, C, F), D) & v3_funct_2(G, u1_struct_0(k2_group_19(A, C, F)), u1_struct_0(k2_group_19(A, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_m1_group_20, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_group_20(C, A, B) =>  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v1_group_7(C) &  (v2_group_7(C, A) & v3_group_7(C, A)) ) ) ) ) ) ) ) ) ) ).
fof(existence_m1_group_20, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (? [C] : m1_group_20(C, A, B)) ) ) ).
fof(rc1_group_21, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) ) ) ) ).
fof(fc1_group_21, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  & m1_group_21(C, A, B)) )  =>  ( ~ (v2_struct_0(k13_group_21(A, B, C)))  & v1_monoid_0(k13_group_21(A, B, C))) ) ) ).
fof(fc2_group_21, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  & m2_group_21(C, A, B)) )  =>  (v2_group_1(k13_group_21(A, B, C)) & v3_group_1(k13_group_21(A, B, C))) ) ) ).
fof(fc3_group_21, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  & m2_group_21(C, A, B)) )  =>  ( ~ (v2_struct_0(k14_group_21(A, B, C)))  &  (v2_group_1(k14_group_21(A, B, C)) &  (v3_group_1(k14_group_21(A, B, C)) & v1_monoid_0(k14_group_21(A, B, C))) ) ) ) ) ).
fof(fc4_group_21, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) )  & m2_group_21(C, A, B)) )  =>  (v1_funct_1(k16_group_21(A, B, C)) &  (v1_funct_2(k16_group_21(A, B, C), u1_struct_0(k13_group_21(A, B, C)), u1_struct_0(k2_group_7(k3_card_3(B), k9_group_21(A, B, C)))) &  (v3_funct_2(k16_group_21(A, B, C), u1_struct_0(k13_group_21(A, B, C)), u1_struct_0(k2_group_7(k3_card_3(B), k9_group_21(A, B, C)))) & v1_group_6(k16_group_21(A, B, C), k13_group_21(A, B, C), k2_group_7(k3_card_3(B), k9_group_21(A, B, C)))) ) ) ) ) ).
fof(fc5_group_21, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) )  & m2_group_21(C, A, B)) )  =>  (v1_funct_1(k17_group_21(A, B, C)) &  (v1_funct_2(k17_group_21(A, B, C), u1_struct_0(k2_group_7(k3_card_3(B), k9_group_21(A, B, C))), u1_struct_0(k13_group_21(A, B, C))) &  (v3_funct_2(k17_group_21(A, B, C), u1_struct_0(k2_group_7(k3_card_3(B), k9_group_21(A, B, C))), u1_struct_0(k13_group_21(A, B, C))) & v1_group_6(k17_group_21(A, B, C), k2_group_7(k3_card_3(B), k9_group_21(A, B, C)), k13_group_21(A, B, C))) ) ) ) ) ).
fof(fc6_group_21, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) )  & m2_group_21(C, A, B)) )  =>  (v1_funct_1(k19_group_21(A, B, C)) &  (v1_funct_2(k19_group_21(A, B, C), u1_struct_0(k15_group_21(A, B, C)), u1_struct_0(k3_group_7(k3_card_3(B), k9_group_21(A, B, C)))) &  (v3_funct_2(k19_group_21(A, B, C), u1_struct_0(k15_group_21(A, B, C)), u1_struct_0(k3_group_7(k3_card_3(B), k9_group_21(A, B, C)))) & v1_group_6(k19_group_21(A, B, C), k15_group_21(A, B, C), k3_group_7(k3_card_3(B), k9_group_21(A, B, C)))) ) ) ) ) ).
fof(fc7_group_21, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) )  & m2_group_21(C, A, B)) )  =>  (v1_funct_1(k20_group_21(A, B, C)) &  (v1_funct_2(k20_group_21(A, B, C), u1_struct_0(k3_group_7(k3_card_3(B), k9_group_21(A, B, C))), u1_struct_0(k15_group_21(A, B, C))) &  (v3_funct_2(k20_group_21(A, B, C), u1_struct_0(k3_group_7(k3_card_3(B), k9_group_21(A, B, C))), u1_struct_0(k15_group_21(A, B, C))) & v1_group_6(k20_group_21(A, B, C), k3_group_7(k3_card_3(B), k9_group_21(A, B, C)), k15_group_21(A, B, C))) ) ) ) ) ).
fof(d1_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v2_group_1(D) &  (v3_group_1(D) & l3_algstr_0(D)) ) )  =>  (! [E] :  (m1_group_20(E, B, D) => k3_group_21(A, B, C, D, E)=k2_group_21(A, B, C, E)) ) ) ) ) ) ) ) ) ) ).
fof(t1_group_21, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_prob_2(A)) ) )  =>  (v1_finset_1(k3_card_3(A)) => v1_finset_1(k9_xtuple_0(A))) ) ) ).
fof(t2_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (! [D] :  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ( (v3_funct_2(E, A, B) & k2_relset_1(B, k2_partfun1(A, B, E, C))=D)  => k2_funct_1(k2_partfun1(A, B, E, C))=k5_relat_1(k2_funct_1(E), D)) ) ) ) ) ) ) ) ) ).
fof(t3_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) &  (v1_partfun1(D, B) & v1_group_7(D)) ) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_group_7(B, D))) => r1_struct_0(k2_group_7(A, k1_group_21(A, B, C, D)), k3_relat_1(C, E))) ) ) ) ) ) ) ) ) ) ).
fof(d2_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) &  (v1_partfun1(D, B) & v1_group_7(D)) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k2_group_7(B, D)), u1_struct_0(k2_group_7(A, k1_group_21(A, B, C, D)))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(B, D)), u1_struct_0(k2_group_7(A, k1_group_21(A, B, C, D))))))) )  =>  (E=k4_group_21(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_group_7(B, D))) => k3_funct_2(u1_struct_0(k2_group_7(B, D)), u1_struct_0(k2_group_7(A, k1_group_21(A, B, C, D))), E, F)=k3_relat_1(C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) &  (v1_partfun1(D, B) & v1_group_7(D)) ) ) )  => v1_group_6(k4_group_21(A, B, C, D), k2_group_7(B, D), k2_group_7(A, k1_group_21(A, B, C, D)))) ) ) ) ) ) ) ) ).
fof(t5_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) &  (v1_partfun1(D, B) & v1_group_7(D)) ) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_group_7(A, k1_group_21(A, B, C, D)))) =>  (v3_funct_2(C, A, B) => r1_struct_0(k2_group_7(B, D), k3_relat_1(k2_funct_1(C), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  ( (k9_xtuple_0(D)=A &  (k9_xtuple_0(E)=B & v3_funct_2(C, A, B)) )  =>  (D=k3_relat_1(C, E) <=> E=k3_relat_1(k2_funct_1(C), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v1_funct_1(C) &  (v1_partfun1(C, B) & v1_group_7(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v3_funct_2(D, A, B) =>  (k1_relset_1(u1_struct_0(k2_group_7(B, C)), k4_group_21(A, B, D, C))=k2_struct_0(k2_group_7(B, C)) & k2_relset_1(u1_struct_0(k2_group_7(A, k1_group_21(A, B, D, C))), k4_group_21(A, B, D, C))=k2_struct_0(k2_group_7(A, k1_group_21(A, B, D, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t8_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) &  (v1_partfun1(D, B) & v1_group_7(D)) ) ) )  =>  (v3_funct_2(C, A, B) => v3_funct_2(k4_group_21(A, B, C, D), u1_struct_0(k2_group_7(B, D)), u1_struct_0(k2_group_7(A, k1_group_21(A, B, C, D))))) ) ) ) ) ) ) ) ) ).
fof(t9_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) &  (v1_partfun1(D, B) &  (v1_group_7(D) &  (v2_group_7(D, B) & v3_group_7(D, B)) ) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  => r1_tarski(k7_relset_1(A, B, C, k3_group_19(A, k2_group_21(A, B, C, D), k3_relat_1(C, E))), k3_group_19(B, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t10_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) &  (v1_partfun1(D, B) &  (v1_group_7(D) &  (v2_group_7(D, B) & v3_group_7(D, B)) ) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (v2_funct_2(C, B) => r1_tarski(k3_group_19(B, D, E), k7_relset_1(A, B, C, k3_group_19(A, k2_group_21(A, B, C, D), k3_relat_1(C, E))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) &  (v1_partfun1(D, B) &  (v1_group_7(D) &  (v2_group_7(D, B) & v3_group_7(D, B)) ) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  ( (v2_funct_1(C) & r1_struct_0(k3_group_7(B, D), E))  => r1_struct_0(k3_group_7(A, k2_group_21(A, B, C, D)), k3_relat_1(C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) &  (v1_partfun1(D, B) &  (v1_group_7(D) &  (v2_group_7(D, B) & v3_group_7(D, B)) ) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (v3_funct_2(C, A, B) =>  (r1_struct_0(k3_group_7(B, D), E) <=>  (r1_struct_0(k3_group_7(A, k2_group_21(A, B, C, D)), k3_relat_1(C, E)) & k9_xtuple_0(E)=B) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) &  (v1_partfun1(D, B) &  (v1_group_7(D) &  (v2_group_7(D, B) & v3_group_7(D, B)) ) ) ) ) )  =>  (v3_funct_2(C, A, B) => k6_group_21(A, B, C, D)=k1_grsolv_1(k2_group_7(B, D), k2_group_7(A, k2_group_21(A, B, C, D)), k5_group_21(A, B, C, D), k3_group_7(B, D))) ) ) ) ) ) ) ) ) ).
fof(t13_group_21, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_group_2(C, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (r1_tarski(k2_relset_1(u1_struct_0(B), D), k2_struct_0(C)) =>  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(C)) &  (v1_group_6(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) &  (v1_partfun1(D, B) &  (v1_group_7(D) &  (v2_group_7(D, B) & v3_group_7(D, B)) ) ) ) ) )  =>  (v3_funct_2(C, A, B) =>  (v1_funct_1(k6_group_21(A, B, C, D)) &  (v1_funct_2(k6_group_21(A, B, C, D), u1_struct_0(k3_group_7(B, D)), u1_struct_0(k3_group_7(A, k2_group_21(A, B, C, D)))) &  (v1_group_6(k6_group_21(A, B, C, D), k3_group_7(B, D), k3_group_7(A, k2_group_21(A, B, C, D))) & m1_subset_1(k6_group_21(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_group_7(B, D)), u1_struct_0(k3_group_7(A, k2_group_21(A, B, C, D))))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) &  (v1_partfun1(D, B) &  (v1_group_7(D) &  (v2_group_7(D, B) & v3_group_7(D, B)) ) ) ) ) )  =>  (v3_funct_2(C, A, B) => v3_funct_2(k6_group_21(A, B, C, D), u1_struct_0(k3_group_7(B, D)), u1_struct_0(k3_group_7(A, k2_group_21(A, B, C, D))))) ) ) ) ) ) ) ) ) ).
fof(t16_group_21, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_group_19(D, C, A) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  (v3_funct_2(E, B, C) => m1_group_19(k2_group_21(B, C, E, D), B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v2_group_19(C, A, B) & m1_group_19(C, A, B))  => m1_group_20(C, A, B)) ) ) ) ) ) ).
fof(t18_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) & l3_algstr_0(C)) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(C))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(C))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ( (v2_funct_2(F, B) & r2_funct_2(A, u1_struct_0(C), D, k1_partfun1(A, B, B, u1_struct_0(C), F, E)))  => k4_group_19(B, C, E)=k7_relset_1(A, B, F, k4_group_19(A, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l3_algstr_0(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(C)) &  (v1_group_19(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, u1_struct_0(C)) &  (v1_group_19(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ( (v3_funct_2(F, A, B) & r2_funct_2(A, u1_struct_0(C), D, k1_partfun1(A, B, B, u1_struct_0(C), F, E)))  => k5_group_19(A, C, D)=k5_group_19(B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) & l3_algstr_0(C)) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(C)) &  (v1_group_19(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, u1_struct_0(C)) &  (v1_group_19(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ( (v3_funct_2(F, A, B) &  (r2_funct_2(A, u1_struct_0(C), D, k1_partfun1(A, B, B, u1_struct_0(C), F, E)) &  (! [G] :  (m1_subset_1(G, A) =>  (! [H] :  (m1_subset_1(H, A) => k6_algstr_0(C, k3_funct_2(A, u1_struct_0(C), D, G), k3_funct_2(A, u1_struct_0(C), D, H))=k6_algstr_0(C, k3_funct_2(A, u1_struct_0(C), D, H), k3_funct_2(A, u1_struct_0(C), D, G))) ) ) ) ) )  => k5_group_19(A, C, D)=k5_group_19(B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_group_21, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v2_group_19(D, C, A) & m1_group_19(D, C, A))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  (v3_funct_2(E, B, C) =>  (v2_group_19(k2_group_21(B, C, E, D), B, A) & m1_group_19(k2_group_21(B, C, E, D), B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (m1_group_21(C, A, B) <=>  (! [D] :  (m1_subset_1(D, A) =>  (v1_relat_1(k1_funct_1(C, D)) &  (v4_relat_1(k1_funct_1(C, D), k1_funct_1(B, D)) &  (v1_funct_1(k1_funct_1(C, D)) &  (v1_partfun1(k1_funct_1(C, D), k1_funct_1(B, D)) & v1_group_7(k1_funct_1(C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_group_21(C, A, B) =>  (m2_group_21(C, A, B) <=>  (! [D] :  (m1_subset_1(D, A) =>  (v1_relat_1(k1_funct_1(C, D)) &  (v4_relat_1(k1_funct_1(C, D), k1_funct_1(B, D)) &  (v1_funct_1(k1_funct_1(C, D)) &  (v1_partfun1(k1_funct_1(C, D), k1_funct_1(B, D)) &  (v1_group_7(k1_funct_1(C, D)) &  (v2_group_7(k1_funct_1(C, D), k1_funct_1(B, D)) & v3_group_7(k1_funct_1(C, D), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) )  =>  (! [C] :  (m2_group_21(C, A, B) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (r2_hidden(E, k1_funct_1(B, D)) => k1_funct_1(k9_group_21(A, B, C), E)=k1_funct_1(k8_group_21(A, B, C, D), E)) ) ) ) ) ) ) ) ) ) ).
fof(d6_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_group_21(C, A, B) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) & v1_group_7(D)) ) ) )  =>  (D=k10_group_21(A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) => k1_group_7(A, D, E)=k2_group_7(k1_funct_1(B, E), k7_group_21(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m2_group_21(C, A, B) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v1_group_7(D) &  (v2_group_7(D, A) & v3_group_7(D, A)) ) ) ) ) )  =>  (D=k12_group_21(A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) => k2_group_19(A, D, E)=k3_group_7(k1_funct_1(B, E), k8_group_21(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_group_21(C, A, B) => k13_group_21(A, B, C)=k2_group_7(A, k10_group_21(A, B, C))) ) ) ) ) ) ).
fof(d9_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  (m2_group_21(C, A, B) => k14_group_21(A, B, C)=k3_group_7(A, k12_group_21(A, B, C))) ) ) ) ) ) ).
fof(t23_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v1_group_7(C) &  (v2_group_7(C, A) & v3_group_7(C, A)) ) ) ) ) )  =>  ( (! [D] :  (m1_subset_1(D, A) => m1_group_2(k2_group_19(A, B, D), k2_group_19(A, C, D))) )  => m1_group_2(k2_group_7(A, B), k2_group_7(A, C))) ) ) ) ) ) ) ).
fof(t24_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v1_group_7(C) &  (v2_group_7(C, A) & v3_group_7(C, A)) ) ) ) ) )  =>  ( (! [D] :  (m1_subset_1(D, A) => m1_group_2(k2_group_19(A, B, D), k2_group_19(A, C, D))) )  => m1_group_6(k3_group_7(A, B), k2_group_7(A, C), k3_group_7(A, C))) ) ) ) ) ) ) ).
fof(t25_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  (m2_group_21(C, A, B) => m1_group_2(k14_group_21(A, B, C), k13_group_21(A, B, C))) ) ) ) ) ) ).
fof(d10_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) )  =>  (! [C] :  (m2_group_21(C, A, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k13_group_21(A, B, C)), u1_struct_0(k2_group_7(k3_card_3(B), k9_group_21(A, B, C)))) &  (v1_group_6(D, k13_group_21(A, B, C), k2_group_7(k3_card_3(B), k9_group_21(A, B, C))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k13_group_21(A, B, C)), u1_struct_0(k2_group_7(k3_card_3(B), k9_group_21(A, B, C))))))) ) )  =>  (D=k16_group_21(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(k13_group_21(A, B, C))) =>  (! [F] :  (m1_subset_1(F, A) => k1_funct_1(E, F)=k5_relat_1(k3_funct_2(u1_struct_0(k13_group_21(A, B, C)), u1_struct_0(k2_group_7(k3_card_3(B), k9_group_21(A, B, C))), D, E), k1_funct_1(B, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) )  =>  (! [C] :  (m2_group_21(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_group_7(k3_card_3(B), k9_group_21(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, A) => r1_struct_0(k2_group_7(k1_funct_1(B, E), k8_group_21(A, B, C, E)), k5_relat_1(D, k1_funct_1(B, E)))) ) ) ) ) ) ) ) ) ) ).
fof(d11_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) )  =>  (! [C] :  (m2_group_21(C, A, B) => k17_group_21(A, B, C)=k2_funct_1(k16_group_21(A, B, C))) ) ) ) ) ) ).
fof(t27_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) )  =>  (! [C] :  (m2_group_21(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_group_7(k3_card_3(B), k9_group_21(A, B, C)))) =>  (! [E] :  (m1_subset_1(E, A) => k5_relat_1(D, k1_funct_1(B, E))=k1_funct_1(k3_funct_2(u1_struct_0(k2_group_7(k3_card_3(B), k9_group_21(A, B, C))), u1_struct_0(k13_group_21(A, B, C)), k17_group_21(A, B, C), D), E)) ) ) ) ) ) ) ) ) ) ).
fof(t28_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) )  =>  (! [C] :  (m2_group_21(C, A, B) => k17_group_21(A, B, C)=k2_funct_1(k16_group_21(A, B, C))) ) ) ) ) ) ).
fof(d12_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) )  =>  (! [C] :  (m2_group_21(C, A, B) =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) &  (v1_partfun1(E, A) & v1_prob_2(E)) ) ) )  =>  (E=k18_group_21(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, A) => k1_funct_1(E, F)=k3_group_19(k1_funct_1(B, F), k8_group_21(A, B, C, F), k5_relat_1(D, k1_funct_1(B, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) )  =>  (! [C] :  (m2_group_21(C, A, B) =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  => k3_group_19(k3_card_3(B), k9_group_21(A, B, C), D)=k3_card_3(k18_group_21(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t30_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) )  =>  (! [C] :  (m2_group_21(C, A, B) =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  ( (r1_struct_0(k13_group_21(A, B, C), F) & D=k1_funct_1(k16_group_21(A, B, C), F))  =>  ( (v1_relat_1(k5_relat_1(k18_group_21(A, B, C, D), k3_group_19(A, k12_group_21(A, B, C), F))) &  (v2_relat_1(k5_relat_1(k18_group_21(A, B, C, D), k3_group_19(A, k12_group_21(A, B, C), F))) &  (v4_relat_1(k5_relat_1(k18_group_21(A, B, C, D), k3_group_19(A, k12_group_21(A, B, C), F)), k3_group_19(A, k12_group_21(A, B, C), F)) &  (v1_funct_1(k5_relat_1(k18_group_21(A, B, C, D), k3_group_19(A, k12_group_21(A, B, C), F))) &  (v1_partfun1(k5_relat_1(k18_group_21(A, B, C, D), k3_group_19(A, k12_group_21(A, B, C), F)), k3_group_19(A, k12_group_21(A, B, C), F)) & v1_prob_2(k5_relat_1(k18_group_21(A, B, C, D), k3_group_19(A, k12_group_21(A, B, C), F)))) ) ) ) )  & k3_group_19(k3_card_3(B), k9_group_21(A, B, C), D)=k3_card_3(k5_relat_1(k18_group_21(A, B, C, D), k3_group_19(A, k12_group_21(A, B, C), F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) )  =>  (! [C] :  (m2_group_21(C, A, B) =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ~ ( (r1_struct_0(k3_group_7(k3_card_3(B), k9_group_21(A, B, C)), D) &  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  ~ ( (D=k1_funct_1(k16_group_21(A, B, C), E) & r1_struct_0(k15_group_21(A, B, C), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) )  =>  (! [C] :  (m2_group_21(C, A, B) =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  ( (r1_struct_0(k15_group_21(A, B, C), D) & r1_struct_0(k15_group_21(A, B, C), D))  => r1_struct_0(k3_group_7(k3_card_3(B), k9_group_21(A, B, C)), k1_funct_1(k16_group_21(A, B, C), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) )  =>  (! [C] :  (m2_group_21(C, A, B) => k2_relset_1(u1_struct_0(k2_group_7(k3_card_3(B), k9_group_21(A, B, C))), k1_grsolv_1(k13_group_21(A, B, C), k2_group_7(k3_card_3(B), k9_group_21(A, B, C)), k16_group_21(A, B, C), k15_group_21(A, B, C)))=k2_struct_0(k3_group_7(k3_card_3(B), k9_group_21(A, B, C)))) ) ) ) ) ) ).
fof(d13_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) )  =>  (! [C] :  (m2_group_21(C, A, B) => k19_group_21(A, B, C)=k1_grsolv_1(k13_group_21(A, B, C), k2_group_7(k3_card_3(B), k9_group_21(A, B, C)), k16_group_21(A, B, C), k15_group_21(A, B, C))) ) ) ) ) ) ).
fof(d14_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) )  =>  (! [C] :  (m2_group_21(C, A, B) => k20_group_21(A, B, C)=k2_funct_1(k19_group_21(A, B, C))) ) ) ) ) ) ).
fof(t34_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) )  =>  (! [C] :  (m2_group_21(C, A, B) => r1_funct_2(u1_struct_0(k3_group_7(k3_card_3(B), k9_group_21(A, B, C))), u1_struct_0(k15_group_21(A, B, C)), u1_struct_0(k3_group_7(k3_card_3(B), k9_group_21(A, B, C))), u1_struct_0(k13_group_21(A, B, C)), k20_group_21(A, B, C), k1_grsolv_1(k2_group_7(k3_card_3(B), k9_group_21(A, B, C)), k13_group_21(A, B, C), k17_group_21(A, B, C), k3_group_7(k3_card_3(B), k9_group_21(A, B, C))))) ) ) ) ) ) ).
fof(t35_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) )  =>  (! [C] :  (m2_group_21(C, A, B) => k19_group_21(A, B, C)=k2_funct_1(k20_group_21(A, B, C))) ) ) ) ) ) ).
fof(d15_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v2_group_19(C, A, B) & m1_group_19(C, A, B))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k3_group_7(A, C)), u1_struct_0(B)) &  (v1_group_6(D, k3_group_7(A, C), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_group_7(A, C)), u1_struct_0(B))))) ) )  =>  (D=k21_group_21(A, B, C) <=>  (v3_funct_2(D, u1_struct_0(k3_group_7(A, C)), u1_struct_0(B)) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(B)) &  (v1_group_19(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  (r1_struct_0(k3_group_7(A, C), E) => k1_funct_1(D, E)=k5_group_19(A, B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) & l3_algstr_0(C)) ) )  =>  (! [D] :  (m1_group_19(D, A, C) =>  (! [E] :  (m2_group_21(E, A, B) =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) & v1_partfun1(F, A)) ) )  =>  ( (! [G] :  (m1_subset_1(G, A) =>  (? [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(k2_group_19(A, k12_group_21(A, B, E), G)), u1_struct_0(k2_group_19(A, D, G))) &  (v1_group_6(H, k2_group_19(A, k12_group_21(A, B, E), G), k2_group_19(A, D, G)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_19(A, k12_group_21(A, B, E), G)), u1_struct_0(k2_group_19(A, D, G)))))) ) )  &  (H=k1_funct_1(F, G) & v3_funct_2(H, u1_struct_0(k2_group_19(A, k12_group_21(A, B, E), G)), u1_struct_0(k2_group_19(A, D, G)))) ) ) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(k15_group_21(A, B, E)), u1_struct_0(k3_group_7(A, D))) &  (v1_group_6(G, k15_group_21(A, B, E), k3_group_7(A, D)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_group_21(A, B, E)), u1_struct_0(k3_group_7(A, D)))))) ) )  =>  (G=k22_group_21(A, B, C, D, E, F) <=>  (r1_funct_2(u1_struct_0(k15_group_21(A, B, E)), u1_struct_0(k3_group_7(A, D)), u1_struct_0(k3_group_7(A, k12_group_21(A, B, E))), u1_struct_0(k3_group_7(A, D)), G, k9_group_19(A, k12_group_21(A, B, E), D, F)) & v3_funct_2(G, u1_struct_0(k15_group_21(A, B, E)), u1_struct_0(k3_group_7(A, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) & l3_algstr_0(C)) ) )  =>  (! [D] :  (m1_group_19(D, A, C) =>  (! [E] :  (m2_group_21(E, A, B) =>  ( (! [F] :  (m1_subset_1(F, A) => m1_group_19(k8_group_21(A, B, E, F), k1_funct_1(B, F), k2_group_19(A, D, F))) )  => m1_group_19(k9_group_21(A, B, E), k3_card_3(B), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) & l3_algstr_0(C)) ) )  =>  (! [D] :  ( (v2_group_19(D, A, C) & m1_group_19(D, A, C))  =>  (! [E] :  (m2_group_21(E, A, B) =>  ( (! [F] :  (m1_subset_1(F, A) =>  (v2_group_19(k8_group_21(A, B, E, F), k1_funct_1(B, F), k2_group_19(A, D, F)) & m1_group_19(k8_group_21(A, B, E, F), k1_funct_1(B, F), k2_group_19(A, D, F))) ) )  =>  (v2_group_19(k9_group_21(A, B, E), k3_card_3(B), C) & m1_group_19(k9_group_21(A, B, E), k3_card_3(B), C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) & l3_algstr_0(C)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v1_group_7(D) &  (v2_group_7(D, A) & v3_group_7(D, A)) ) ) ) ) )  =>  (! [E] :  (m2_group_21(E, A, B) =>  ( (m1_group_19(k9_group_21(A, B, E), k3_card_3(B), C) &  (! [F] :  (m1_subset_1(F, A) => m1_group_19(k8_group_21(A, B, E, F), k1_funct_1(B, F), k2_group_19(A, D, F))) ) )  => m1_group_19(D, A, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) & l3_algstr_0(C)) ) )  =>  (! [D] :  (m1_group_20(D, A, C) =>  (! [E] :  (m2_group_21(E, A, B) =>  ( ( (v2_group_19(k9_group_21(A, B, E), k3_card_3(B), C) & m1_group_19(k9_group_21(A, B, E), k3_card_3(B), C))  &  (! [F] :  (m1_subset_1(F, A) =>  (v2_group_19(k8_group_21(A, B, E, F), k1_funct_1(B, F), k2_group_19(A, D, F)) & m1_group_19(k8_group_21(A, B, E, F), k1_funct_1(B, F), k2_group_19(A, D, F))) ) ) )  =>  (v2_group_19(D, A, C) & m1_group_19(D, A, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  ( (! [C] :  (m1_subset_1(C, A) => k7_struct_0(k2_group_19(A, B, C))=1) )  => k1_card_1(u1_struct_0(k3_group_7(A, B)))=1) ) ) ) ) ).
fof(t41_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) &  (v1_group_19(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  ( (! [D] :  (r2_hidden(D, A) => k1_funct_1(C, D)=k1_group_1(B)) )  => k5_group_19(A, B, C)=k1_group_1(B)) ) ) ) ) ) ) ).
fof(t42_group_21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) &  (v1_group_19(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  ( (A=k7_domain_1(k4_ordinal1, 1, 2) & C=k5_group_7(B, B, D, k1_group_1(B)))  => k5_group_19(A, B, C)=D) ) ) ) ) ) ) ) ) ).
fof(t43_group_21, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_group_19(D, B, A) =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, C) &  (v1_funct_1(E) &  (v1_partfun1(E, C) &  (v1_group_7(E) &  (v2_group_7(E, C) & v3_group_7(E, C)) ) ) ) ) )  =>  ( (r1_subset_1(B, C) &  (! [F] :  (m1_subset_1(F, C) => k7_struct_0(k2_group_19(C, E, F))=1) ) )  => m1_group_19(k1_funct_4(D, E), k2_xboole_0(B, C), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_group_21, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v2_group_19(D, B, A) & m1_group_19(D, B, A))  =>  (! [E] :  (m1_group_20(E, C, A) =>  ( (r1_subset_1(B, C) & E=k7_funcop_1(C, k6_group_2(A)))  =>  (v2_group_19(k1_funct_4(D, E), k2_xboole_0(B, C), A) & m1_group_19(k1_funct_4(D, E), k2_xboole_0(B, C), A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_group_21, axiom,  (? [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  &  (k9_xtuple_0(A)=f1_s1_group_21 &  (! [B] :  (m1_subset_1(B, u1_struct_0(f2_s1_group_21)) =>  (r2_tarski(B, f1_s1_group_21) => k1_funct_1(A, B)=f3_s1_group_21(B)) ) ) ) ) ) ).
fof(dt_k1_group_21, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) &  (v1_partfun1(D, B) & v1_group_7(D)) ) ) ) ) ) )  =>  (v1_relat_1(k1_group_21(A, B, C, D)) &  (v4_relat_1(k1_group_21(A, B, C, D), A) &  (v1_funct_1(k1_group_21(A, B, C, D)) &  (v1_partfun1(k1_group_21(A, B, C, D), A) & v1_group_7(k1_group_21(A, B, C, D))) ) ) ) ) ) ).
fof(redefinition_k1_group_21, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) &  (v1_partfun1(D, B) & v1_group_7(D)) ) ) ) ) ) )  => k1_group_21(A, B, C, D)=k3_relat_1(C, D)) ) ).
fof(dt_k2_group_21, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) &  (v1_partfun1(D, B) &  (v1_group_7(D) &  (v2_group_7(D, B) & v3_group_7(D, B)) ) ) ) ) ) ) ) )  =>  (v1_relat_1(k2_group_21(A, B, C, D)) &  (v4_relat_1(k2_group_21(A, B, C, D), A) &  (v1_funct_1(k2_group_21(A, B, C, D)) &  (v1_partfun1(k2_group_21(A, B, C, D), A) &  (v1_group_7(k2_group_21(A, B, C, D)) &  (v2_group_7(k2_group_21(A, B, C, D), A) & v3_group_7(k2_group_21(A, B, C, D), A)) ) ) ) ) ) ) ) ).
fof(redefinition_k2_group_21, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) &  (v1_partfun1(D, B) &  (v1_group_7(D) &  (v2_group_7(D, B) & v3_group_7(D, B)) ) ) ) ) ) ) ) )  => k2_group_21(A, B, C, D)=k3_relat_1(C, D)) ) ).
fof(dt_k3_group_21, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  ( ( ~ (v2_struct_0(D))  &  (v2_group_1(D) &  (v3_group_1(D) & l3_algstr_0(D)) ) )  & m1_group_20(E, B, D)) ) ) )  => m1_group_20(k3_group_21(A, B, C, D, E), A, D)) ) ).
fof(dt_f2_s1_group_21, axiom, l1_struct_0(f2_s1_group_21)).
fof(dt_k4_group_21, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) &  (v1_partfun1(D, B) & v1_group_7(D)) ) ) ) ) ) )  =>  (v1_funct_1(k4_group_21(A, B, C, D)) &  (v1_funct_2(k4_group_21(A, B, C, D), u1_struct_0(k2_group_7(B, D)), u1_struct_0(k2_group_7(A, k1_group_21(A, B, C, D)))) & m1_subset_1(k4_group_21(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(B, D)), u1_struct_0(k2_group_7(A, k1_group_21(A, B, C, D))))))) ) ) ) ).
fof(dt_k5_group_21, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) &  (v1_partfun1(D, B) &  (v1_group_7(D) &  (v2_group_7(D, B) & v3_group_7(D, B)) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k5_group_21(A, B, C, D)) &  (v1_funct_2(k5_group_21(A, B, C, D), u1_struct_0(k2_group_7(B, D)), u1_struct_0(k2_group_7(A, k2_group_21(A, B, C, D)))) &  (v1_group_6(k5_group_21(A, B, C, D), k2_group_7(B, D), k2_group_7(A, k2_group_21(A, B, C, D))) & m1_subset_1(k5_group_21(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(B, D)), u1_struct_0(k2_group_7(A, k2_group_21(A, B, C, D))))))) ) ) ) ) ).
fof(redefinition_k5_group_21, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) &  (v1_partfun1(D, B) &  (v1_group_7(D) &  (v2_group_7(D, B) & v3_group_7(D, B)) ) ) ) ) ) ) ) )  => k5_group_21(A, B, C, D)=k4_group_21(A, B, C, D)) ) ).
fof(dt_k6_group_21, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) &  (v1_partfun1(D, B) &  (v1_group_7(D) &  (v2_group_7(D, B) & v3_group_7(D, B)) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k6_group_21(A, B, C, D)) &  (v1_funct_2(k6_group_21(A, B, C, D), u1_struct_0(k3_group_7(B, D)), u1_struct_0(k3_group_7(A, k2_group_21(A, B, C, D)))) & m1_subset_1(k6_group_21(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_group_7(B, D)), u1_struct_0(k3_group_7(A, k2_group_21(A, B, C, D))))))) ) ) ) ).
fof(dt_m1_group_21, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  (m1_group_21(C, A, B) =>  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) ) ) ) ) ).
fof(existence_m1_group_21, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (? [C] : m1_group_21(C, A, B)) ) ) ).
fof(dt_m2_group_21, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  (m2_group_21(C, A, B) => m1_group_21(C, A, B)) ) ) ) ).
fof(existence_m2_group_21, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (? [C] : m2_group_21(C, A, B)) ) ) ).
fof(dt_k7_group_21, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (m1_group_21(C, A, B) & m1_subset_1(D, A)) ) )  =>  (v1_relat_1(k7_group_21(A, B, C, D)) &  (v4_relat_1(k7_group_21(A, B, C, D), k1_funct_1(B, D)) &  (v1_funct_1(k7_group_21(A, B, C, D)) &  (v1_partfun1(k7_group_21(A, B, C, D), k1_funct_1(B, D)) & v1_group_7(k7_group_21(A, B, C, D))) ) ) ) ) ) ).
fof(redefinition_k7_group_21, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (m1_group_21(C, A, B) & m1_subset_1(D, A)) ) )  => k7_group_21(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(dt_k8_group_21, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (m2_group_21(C, A, B) & m1_subset_1(D, A)) ) )  =>  (v1_relat_1(k8_group_21(A, B, C, D)) &  (v4_relat_1(k8_group_21(A, B, C, D), k1_funct_1(B, D)) &  (v1_funct_1(k8_group_21(A, B, C, D)) &  (v1_partfun1(k8_group_21(A, B, C, D), k1_funct_1(B, D)) &  (v1_group_7(k8_group_21(A, B, C, D)) &  (v2_group_7(k8_group_21(A, B, C, D), k1_funct_1(B, D)) & v3_group_7(k8_group_21(A, B, C, D), k1_funct_1(B, D))) ) ) ) ) ) ) ) ).
fof(redefinition_k8_group_21, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (m2_group_21(C, A, B) & m1_subset_1(D, A)) ) )  => k8_group_21(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(dt_k9_group_21, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) )  & m2_group_21(C, A, B)) )  =>  (v1_relat_1(k9_group_21(A, B, C)) &  (v4_relat_1(k9_group_21(A, B, C), k3_card_3(B)) &  (v1_funct_1(k9_group_21(A, B, C)) &  (v1_partfun1(k9_group_21(A, B, C), k3_card_3(B)) &  (v1_group_7(k9_group_21(A, B, C)) &  (v2_group_7(k9_group_21(A, B, C), k3_card_3(B)) & v3_group_7(k9_group_21(A, B, C), k3_card_3(B))) ) ) ) ) ) ) ) ).
fof(redefinition_k9_group_21, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) )  & m2_group_21(C, A, B)) )  => k9_group_21(A, B, C)=k3_card_3(C)) ) ).
fof(dt_k10_group_21, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  & m1_group_21(C, A, B)) )  =>  (v1_relat_1(k10_group_21(A, B, C)) &  (v4_relat_1(k10_group_21(A, B, C), A) &  (v1_funct_1(k10_group_21(A, B, C)) &  (v1_partfun1(k10_group_21(A, B, C), A) & v1_group_7(k10_group_21(A, B, C))) ) ) ) ) ) ).
fof(dt_k11_group_21, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  & m2_group_21(C, A, B)) )  =>  (v1_relat_1(k11_group_21(A, B, C)) &  (v4_relat_1(k11_group_21(A, B, C), A) &  (v1_funct_1(k11_group_21(A, B, C)) &  (v1_partfun1(k11_group_21(A, B, C), A) &  (v1_group_7(k11_group_21(A, B, C)) &  (v2_group_7(k11_group_21(A, B, C), A) & v3_group_7(k11_group_21(A, B, C), A)) ) ) ) ) ) ) ) ).
fof(redefinition_k11_group_21, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  & m2_group_21(C, A, B)) )  => k11_group_21(A, B, C)=k10_group_21(A, B, C)) ) ).
fof(dt_k12_group_21, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  & m2_group_21(C, A, B)) )  =>  (v1_relat_1(k12_group_21(A, B, C)) &  (v4_relat_1(k12_group_21(A, B, C), A) &  (v1_funct_1(k12_group_21(A, B, C)) &  (v1_partfun1(k12_group_21(A, B, C), A) &  (v1_group_7(k12_group_21(A, B, C)) &  (v2_group_7(k12_group_21(A, B, C), A) & v3_group_7(k12_group_21(A, B, C), A)) ) ) ) ) ) ) ) ).
fof(dt_k13_group_21, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  & m1_group_21(C, A, B)) )  => l3_algstr_0(k13_group_21(A, B, C))) ) ).
fof(dt_k14_group_21, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  & m2_group_21(C, A, B)) )  =>  ( ~ (v2_struct_0(k14_group_21(A, B, C)))  &  (v2_group_1(k14_group_21(A, B, C)) &  (v3_group_1(k14_group_21(A, B, C)) & l3_algstr_0(k14_group_21(A, B, C))) ) ) ) ) ).
fof(dt_k15_group_21, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) )  & m2_group_21(C, A, B)) )  => m1_group_2(k15_group_21(A, B, C), k13_group_21(A, B, C))) ) ).
fof(redefinition_k15_group_21, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) )  & m2_group_21(C, A, B)) )  => k15_group_21(A, B, C)=k14_group_21(A, B, C)) ) ).
fof(dt_k16_group_21, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) )  & m2_group_21(C, A, B)) )  =>  (v1_funct_1(k16_group_21(A, B, C)) &  (v1_funct_2(k16_group_21(A, B, C), u1_struct_0(k13_group_21(A, B, C)), u1_struct_0(k2_group_7(k3_card_3(B), k9_group_21(A, B, C)))) &  (v1_group_6(k16_group_21(A, B, C), k13_group_21(A, B, C), k2_group_7(k3_card_3(B), k9_group_21(A, B, C))) & m1_subset_1(k16_group_21(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k13_group_21(A, B, C)), u1_struct_0(k2_group_7(k3_card_3(B), k9_group_21(A, B, C))))))) ) ) ) ) ).
fof(dt_k17_group_21, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) )  & m2_group_21(C, A, B)) )  =>  (v1_funct_1(k17_group_21(A, B, C)) &  (v1_funct_2(k17_group_21(A, B, C), u1_struct_0(k2_group_7(k3_card_3(B), k9_group_21(A, B, C))), u1_struct_0(k13_group_21(A, B, C))) &  (v1_group_6(k17_group_21(A, B, C), k2_group_7(k3_card_3(B), k9_group_21(A, B, C)), k13_group_21(A, B, C)) & m1_subset_1(k17_group_21(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(k3_card_3(B), k9_group_21(A, B, C))), u1_struct_0(k13_group_21(A, B, C)))))) ) ) ) ) ).
fof(dt_k18_group_21, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) )  &  (m2_group_21(C, A, B) &  (v1_relat_1(D) & v1_funct_1(D)) ) ) )  =>  (v1_relat_1(k18_group_21(A, B, C, D)) &  (v4_relat_1(k18_group_21(A, B, C, D), A) &  (v1_funct_1(k18_group_21(A, B, C, D)) &  (v1_partfun1(k18_group_21(A, B, C, D), A) & v1_prob_2(k18_group_21(A, B, C, D))) ) ) ) ) ) ).
fof(dt_k19_group_21, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) )  & m2_group_21(C, A, B)) )  =>  (v1_funct_1(k19_group_21(A, B, C)) &  (v1_funct_2(k19_group_21(A, B, C), u1_struct_0(k15_group_21(A, B, C)), u1_struct_0(k3_group_7(k3_card_3(B), k9_group_21(A, B, C)))) &  (v1_group_6(k19_group_21(A, B, C), k15_group_21(A, B, C), k3_group_7(k3_card_3(B), k9_group_21(A, B, C))) & m1_subset_1(k19_group_21(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_group_21(A, B, C)), u1_struct_0(k3_group_7(k3_card_3(B), k9_group_21(A, B, C))))))) ) ) ) ) ).
fof(dt_k20_group_21, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) )  & m2_group_21(C, A, B)) )  =>  (v1_funct_1(k20_group_21(A, B, C)) &  (v1_funct_2(k20_group_21(A, B, C), u1_struct_0(k3_group_7(k3_card_3(B), k9_group_21(A, B, C))), u1_struct_0(k15_group_21(A, B, C))) &  (v1_group_6(k20_group_21(A, B, C), k3_group_7(k3_card_3(B), k9_group_21(A, B, C)), k15_group_21(A, B, C)) & m1_subset_1(k20_group_21(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_group_7(k3_card_3(B), k9_group_21(A, B, C))), u1_struct_0(k15_group_21(A, B, C)))))) ) ) ) ) ).
fof(dt_k21_group_21, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  &  (v2_group_19(C, A, B) & m1_group_19(C, A, B)) ) )  =>  (v1_funct_1(k21_group_21(A, B, C)) &  (v1_funct_2(k21_group_21(A, B, C), u1_struct_0(k3_group_7(A, C)), u1_struct_0(B)) &  (v1_group_6(k21_group_21(A, B, C), k3_group_7(A, C), B) & m1_subset_1(k21_group_21(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_group_7(A, C)), u1_struct_0(B))))) ) ) ) ) ).
fof(dt_k22_group_21, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) & l3_algstr_0(C)) ) )  &  (m1_group_19(D, A, C) &  (m2_group_21(E, A, B) &  (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) & v1_partfun1(F, A)) ) ) ) ) ) ) )  =>  (v1_funct_1(k22_group_21(A, B, C, D, E, F)) &  (v1_funct_2(k22_group_21(A, B, C, D, E, F), u1_struct_0(k15_group_21(A, B, E)), u1_struct_0(k3_group_7(A, D))) &  (v1_group_6(k22_group_21(A, B, C, D, E, F), k15_group_21(A, B, E), k3_group_7(A, D)) & m1_subset_1(k22_group_21(A, B, C, D, E, F), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_group_21(A, B, E)), u1_struct_0(k3_group_7(A, D)))))) ) ) ) ) ).
fof(fc1_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  ~ (v1_xboole_0(k1_group_3(A))) ) ) ).
fof(fc2_group_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (v8_struct_0(C) & m1_group_2(C, A)) ) )  =>  (v8_struct_0(k6_group_3(A, C, B)) & v15_algstr_0(k6_group_3(A, C, B))) ) ) ).
fof(rc1_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (? [B] :  (m1_group_2(B, A) &  ( ~ (v2_struct_0(B))  &  (v15_algstr_0(B) &  (v1_group_1(B) &  (v2_group_1(B) &  (v3_group_1(B) & v1_group_3(B, A)) ) ) ) ) ) ) ) ) ).
fof(t1_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k6_algstr_0(A, k6_algstr_0(A, B, C), k2_group_1(A, C))=B &  (k6_algstr_0(A, k6_algstr_0(A, B, k2_group_1(A, C)), C)=B &  (k6_algstr_0(A, k6_algstr_0(A, k2_group_1(A, C), C), B)=B &  (k6_algstr_0(A, k6_algstr_0(A, C, k2_group_1(A, C)), B)=B &  (k6_algstr_0(A, B, k6_algstr_0(A, C, k2_group_1(A, C)))=B &  (k6_algstr_0(A, B, k6_algstr_0(A, k2_group_1(A, C), C))=B &  (k6_algstr_0(A, k2_group_1(A, C), k6_algstr_0(A, C, B))=B & k6_algstr_0(A, C, k6_algstr_0(A, k2_group_1(A, C), B))=B) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) )  <=> v1_binop_1(u2_algstr_0(A), u1_struct_0(A))) ) ) ).
fof(t3_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  => v5_group_1(k6_group_2(A))) ) ).
fof(t4_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r1_tarski(B, C) & r1_tarski(D, E))  => r1_tarski(k2_group_2(A, B, D), k2_group_2(A, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(C, D) =>  (r1_tarski(k4_group_2(A, B, C), k4_group_2(A, B, D)) & r1_tarski(k5_group_2(A, B, C), k5_group_2(A, B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t6_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_group_2(D, A) =>  (m1_group_2(C, D) =>  (r1_tarski(k13_group_2(A, C, B), k13_group_2(A, D, B)) & r1_tarski(k14_group_2(A, C, B), k14_group_2(A, D, B))) ) ) ) ) ) ) ) ) ) ).
fof(t7_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_2(C, A) => k13_group_2(A, C, B)=k11_group_2(A, C, k6_domain_1(u1_struct_0(A), B))) ) ) ) ) ) ).
fof(t8_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_2(C, A) => k14_group_2(A, C, B)=k12_group_2(A, C, k6_domain_1(u1_struct_0(A), B))) ) ) ) ) ) ).
fof(t9_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_group_2(D, A) => k11_group_2(A, D, k5_group_2(A, B, C))=k2_group_2(A, C, k13_group_2(A, D, B))) ) ) ) ) ) ) ) ).
fof(t10_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_group_2(D, A) => k2_group_2(A, k13_group_2(A, D, B), C)=k4_group_2(A, B, k12_group_2(A, D, C))) ) ) ) ) ) ) ) ).
fof(t11_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_group_2(D, A) => k5_group_2(A, B, k11_group_2(A, D, C))=k2_group_2(A, C, k14_group_2(A, D, B))) ) ) ) ) ) ) ) ).
fof(t12_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_group_2(D, A) => k2_group_2(A, k14_group_2(A, D, B), C)=k12_group_2(A, D, k4_group_2(A, B, C))) ) ) ) ) ) ) ) ).
fof(t13_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_group_2(D, A) => k11_group_2(A, D, k14_group_2(A, C, B))=k12_group_2(A, C, k13_group_2(A, D, B))) ) ) ) ) ) ) ) ).
fof(d1_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (B=k1_group_3(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  (v15_algstr_0(C) & m1_group_2(C, A)) ) ) ) ) ) ) ).
fof(t14_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  => r2_tarski(A, k1_group_3(A))) ) ).
fof(t15_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (v8_struct_0(A) => v1_finset_1(k1_group_3(A))) ) ) ).
fof(d2_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_group_3(A, B, C)=k6_algstr_0(A, k6_algstr_0(A, k2_group_1(A, C), B), C)) ) ) ) ) ) ).
fof(t16_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k2_group_3(A, B, D)=k2_group_3(A, C, D) => B=C) ) ) ) ) ) ) ) ) ).
fof(t17_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_group_3(A, k1_group_1(A), B)=k1_group_1(A)) ) ) ) ).
fof(t18_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k2_group_3(A, B, C)=k1_group_1(A) => B=k1_group_1(A)) ) ) ) ) ) ) ).
fof(t19_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_group_3(A, B, k1_group_1(A))=B) ) ) ) ).
fof(t20_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_group_3(A, B, B)=B) ) ) ) ).
fof(t21_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k2_group_3(A, B, k2_group_1(A, B))=B & k2_group_3(A, k2_group_1(A, B), B)=k2_group_1(A, B)) ) ) ) ) ).
fof(t22_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k2_group_3(A, B, C)=B <=> k6_algstr_0(A, B, C)=k6_algstr_0(A, C, B)) ) ) ) ) ) ) ).
fof(t23_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_group_3(A, k6_algstr_0(A, B, C), D)=k6_algstr_0(A, k2_group_3(A, B, D), k2_group_3(A, C, D))) ) ) ) ) ) ) ) ).
fof(t24_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_group_3(A, k2_group_3(A, B, C), D)=k2_group_3(A, B, k6_algstr_0(A, C, D))) ) ) ) ) ) ) ) ).
fof(t25_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k2_group_3(A, k2_group_3(A, B, C), k2_group_1(A, C))=B & k2_group_3(A, k2_group_3(A, B, k2_group_1(A, C)), C)=B) ) ) ) ) ) ) ).
fof(t26_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_group_3(A, k2_group_1(A, B), C)=k2_group_1(A, k2_group_3(A, B, C))) ) ) ) ) ) ).
fof(t27_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) => k2_group_3(A, k5_group_1(A, B, D), C)=k5_group_1(A, k2_group_3(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t28_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_int_1(D) => k2_group_3(A, k5_group_1(A, B, D), C)=k5_group_1(A, k2_group_3(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t29_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) )  => k2_group_3(A, B, C)=B) ) ) ) ) ) ) ).
fof(t30_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_group_3(A, B, C)=B) ) ) )  => v5_group_1(A)) ) ) ).
fof(t31_group_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (r2_tarski(A, k3_group_3(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (A=k2_group_3(B, E, F) &  (r2_tarski(E, C) & r2_tarski(F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( ~ (k3_group_3(A, B, C)=k1_xboole_0)  <=>  ( ~ (B=k1_xboole_0)  &  ~ (C=k1_xboole_0) ) ) ) ) ) ) ) ) ).
fof(t33_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k3_group_3(A, B, C), k2_group_2(A, k2_group_2(A, k1_group_2(A, C), B), C))) ) ) ) ) ) ).
fof(t34_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k3_group_3(A, k2_group_2(A, B, C), D), k2_group_2(A, k3_group_3(A, B, D), k3_group_3(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t35_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => k3_group_3(A, k3_group_3(A, B, C), D)=k3_group_3(A, B, k2_group_2(A, C, D))) ) ) ) ) ) ) ) ).
fof(t36_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k3_group_3(A, k1_group_2(A, B), C)=k1_group_2(A, k3_group_3(A, B, C))) ) ) ) ) ) ).
fof(t37_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_group_3(A, k6_domain_1(u1_struct_0(A), B), k6_domain_1(u1_struct_0(A), C))=k6_domain_1(u1_struct_0(A), k2_group_3(A, B, C))) ) ) ) ) ) ).
fof(t38_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_group_3(A, k6_domain_1(u1_struct_0(A), B), k7_domain_1(u1_struct_0(A), C, D))=k7_domain_1(u1_struct_0(A), k2_group_3(A, B, C), k2_group_3(A, B, D))) ) ) ) ) ) ) ) ).
fof(t39_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_group_3(A, k7_domain_1(u1_struct_0(A), B, C), k6_domain_1(u1_struct_0(A), D))=k7_domain_1(u1_struct_0(A), k2_group_3(A, B, D), k2_group_3(A, C, D))) ) ) ) ) ) ) ) ).
fof(t40_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k3_group_3(A, k7_domain_1(u1_struct_0(A), B, C), k7_domain_1(u1_struct_0(A), D, E))=k9_domain_1(u1_struct_0(A), k2_group_3(A, B, D), k2_group_3(A, B, E), k2_group_3(A, C, D), k2_group_3(A, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(d4_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_group_3(A, B, C)=k3_group_3(A, B, k6_domain_1(u1_struct_0(A), C))) ) ) ) ) ) ).
fof(d5_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k5_group_3(A, B, C)=k3_group_3(A, k6_domain_1(u1_struct_0(A), C), B)) ) ) ) ) ) ).
fof(t41_group_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (r2_tarski(A, k4_group_3(B, D, C)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k2_group_3(B, E, C) & r2_tarski(E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_group_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (r2_tarski(A, k5_group_3(B, D, C)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k2_group_3(B, C, E) & r2_tarski(E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k5_group_3(A, C, B), k2_group_2(A, k5_group_2(A, B, k1_group_2(A, C)), C))) ) ) ) ) ) ).
fof(t44_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => k4_group_3(A, k3_group_3(A, C, D), B)=k3_group_3(A, C, k5_group_2(A, B, D))) ) ) ) ) ) ) ) ).
fof(t45_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => k3_group_3(A, k4_group_3(A, C, B), D)=k3_group_3(A, C, k4_group_2(A, B, D))) ) ) ) ) ) ) ) ).
fof(t46_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => k3_group_3(A, k5_group_3(A, C, B), D)=k5_group_3(A, k2_group_2(A, C, D), B)) ) ) ) ) ) ) ) ).
fof(t47_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => k4_group_3(A, k4_group_3(A, D, B), C)=k4_group_3(A, D, k6_algstr_0(A, B, C))) ) ) ) ) ) ) ) ).
fof(t48_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => k4_group_3(A, k5_group_3(A, D, B), C)=k5_group_3(A, k5_group_2(A, C, D), B)) ) ) ) ) ) ) ) ).
fof(t49_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => k5_group_3(A, D, k2_group_3(A, B, C))=k5_group_3(A, k4_group_2(A, C, D), B)) ) ) ) ) ) ) ) ).
fof(t50_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k4_group_3(A, C, B)=k5_group_2(A, B, k4_group_2(A, k2_group_1(A, B), C))) ) ) ) ) ) ).
fof(t51_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k4_group_3(A, k2_group_2(A, C, D), B), k2_group_2(A, k4_group_3(A, C, B), k4_group_3(A, D, B)))) ) ) ) ) ) ) ) ).
fof(t52_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k4_group_3(A, B, k1_group_1(A))=B) ) ) ) ).
fof(t53_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ~ (B=k1_xboole_0)  => k5_group_3(A, B, k1_group_1(A))=k6_domain_1(u1_struct_0(A), k1_group_1(A))) ) ) ) ) ).
fof(t54_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (k4_group_3(A, k4_group_3(A, C, B), k2_group_1(A, B))=C & k4_group_3(A, k4_group_3(A, C, k2_group_1(A, B)), B)=C) ) ) ) ) ) ) ).
fof(t55_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) )  <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( ~ (C=k1_xboole_0)  => k3_group_3(A, B, C)=B) ) ) ) ) ) ) ) ).
fof(t56_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) )  <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_group_3(A, B, C)=B) ) ) ) ) ) ) ).
fof(t57_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) )  <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (B=k1_xboole_0)  => k5_group_3(A, B, C)=k6_domain_1(u1_struct_0(A), C)) ) ) ) ) ) ) ) ).
fof(d6_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v15_algstr_0(D) & m1_group_2(D, A))  =>  (D=k6_group_3(A, B, C) <=> u1_struct_0(D)=k4_group_3(A, k8_group_2(A, B), C)) ) ) ) ) ) ) ) ) ).
fof(t58_group_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_group_2(D, B) =>  (r1_struct_0(k6_group_3(B, D, C), A) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k2_group_3(B, E, C) & r1_struct_0(D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_2(C, A) => u1_struct_0(k6_group_3(A, C, B))=k5_group_2(A, B, k13_group_2(A, C, k2_group_1(A, B)))) ) ) ) ) ) ).
fof(t60_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_group_2(D, A) => r1_group_2(A, k6_group_3(A, k6_group_3(A, D, B), C), k6_group_3(A, D, k6_algstr_0(A, B, C)))) ) ) ) ) ) ) ) ).
fof(t61_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  => r1_group_2(A, k6_group_3(A, B, k1_group_1(A)), B)) ) ) ) ).
fof(t62_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v15_algstr_0(C) & m1_group_2(C, A))  =>  (r1_group_2(A, k6_group_3(A, k6_group_3(A, C, B), k2_group_1(A, B)), C) & r1_group_2(A, k6_group_3(A, k6_group_3(A, C, k2_group_1(A, B)), B), C)) ) ) ) ) ) ) ).
fof(t63_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_group_2(D, A) => r1_group_2(A, k6_group_3(A, k10_group_2(A, C, D), B), k10_group_2(A, k6_group_3(A, C, B), k6_group_3(A, D, B)))) ) ) ) ) ) ) ) ).
fof(t64_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_2(C, A) => k7_struct_0(C)=k7_struct_0(k6_group_3(A, C, B))) ) ) ) ) ) ).
fof(t65_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_2(C, A) =>  (v8_struct_0(C) <=> v8_struct_0(k6_group_3(A, C, B))) ) ) ) ) ) ) ).
fof(t66_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v8_struct_0(C) & m1_group_2(C, A))  => k7_group_1(C)=k7_group_1(k6_group_3(A, C, B))) ) ) ) ) ) ).
fof(t67_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_group_2(A, k6_group_3(A, k6_group_2(A), B), k6_group_2(A))) ) ) ) ).
fof(t68_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v15_algstr_0(C) & m1_group_2(C, A))  =>  (r1_group_2(A, k6_group_3(A, C, B), k6_group_2(A)) => r1_group_2(A, C, k6_group_2(A))) ) ) ) ) ) ) ).
fof(t69_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_group_2(A, k6_group_3(A, k7_group_2(A), B), k7_group_2(A))) ) ) ) ).
fof(t70_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v15_algstr_0(C) & m1_group_2(C, A))  =>  (k6_group_3(A, C, B)=A => C=A) ) ) ) ) ) ) ).
fof(t71_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_2(C, A) => k17_group_2(A, C)=k17_group_2(A, k6_group_3(A, C, B))) ) ) ) ) ) ).
fof(t72_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_2(C, A) =>  (v1_finset_1(k15_group_2(A, C)) => k18_group_2(A, C)=k18_group_2(A, k6_group_3(A, C, B))) ) ) ) ) ) ) ).
fof(t73_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_group_2(A, k6_group_3(A, B, C), B)) ) ) ) ) ) ) ).
fof(d7_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_group_3(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & B=k2_group_3(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t74_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_group_3(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & C=k2_group_3(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t75_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_group_3(A, B, B)) ) ) ) ).
fof(t76_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_group_3(A, B, C) => r1_group_3(A, C, B)) ) ) ) ) ) ) ).
fof(t77_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_group_3(A, B, C) & r2_group_3(A, C, D))  => r2_group_3(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t78_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (r2_group_3(A, B, k1_group_1(A)) | r2_group_3(A, k1_group_1(A), B))  => B=k1_group_1(A)) ) ) ) ) ).
fof(d8_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k7_group_3(A, B)=k5_group_3(A, k8_group_2(A, k7_group_2(A)), B)) ) ) ) ).
fof(t80_group_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (r2_tarski(A, k7_group_3(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (D=A & r2_group_3(B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t81_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(B, k7_group_3(A, C)) <=> r2_group_3(A, B, C)) ) ) ) ) ) ) ).
fof(t82_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_tarski(k2_group_3(A, B, C), k7_group_3(A, B))) ) ) ) ) ) ).
fof(t83_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r2_tarski(B, k7_group_3(A, B))) ) ) ) ).
fof(t84_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(B, k7_group_3(A, C)) => r2_tarski(C, k7_group_3(A, B))) ) ) ) ) ) ) ).
fof(t85_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k7_group_3(A, B)=k7_group_3(A, C) <=>  ~ (r1_xboole_0(k7_group_3(A, B), k7_group_3(A, C))) ) ) ) ) ) ) ) ).
fof(t86_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k7_group_3(A, B)=k6_domain_1(u1_struct_0(A), k1_group_1(A)) <=> B=k1_group_1(A)) ) ) ) ) ).
fof(t87_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k2_group_2(A, k7_group_3(A, B), C)=k2_group_2(A, C, k7_group_3(A, B))) ) ) ) ) ) ).
fof(d9_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r3_group_3(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & B=k4_group_3(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t88_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r3_group_3(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & C=k4_group_3(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t89_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => r3_group_3(A, B, B)) ) ) ) ).
fof(t90_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r3_group_3(A, B, C) => r3_group_3(A, C, B)) ) ) ) ) ) ) ).
fof(t91_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r4_group_3(A, B, C) & r4_group_3(A, C, D))  => r4_group_3(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t92_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r4_group_3(A, k6_domain_1(u1_struct_0(A), B), k6_domain_1(u1_struct_0(A), C)) <=> r2_group_3(A, B, C)) ) ) ) ) ) ) ).
fof(t93_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_group_2(C, A) =>  ~ ( (r4_group_3(A, B, k8_group_2(A, C)) &  (! [D] :  ( (v15_algstr_0(D) & m1_group_2(D, A))  =>  ~ (u1_struct_0(D)=B) ) ) ) ) ) ) ) ) ) ) ).
fof(t94_group_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (r2_tarski(A, k8_group_3(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) &  (A=D & r4_group_3(B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t95_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(B, k8_group_3(A, C)) <=> r4_group_3(A, B, C)) ) ) ) ) ) ) ).
fof(t96_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => r2_tarski(k4_group_3(A, C, B), k8_group_3(A, C))) ) ) ) ) ) ).
fof(t97_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => r2_tarski(B, k8_group_3(A, B))) ) ) ) ).
fof(t98_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(B, k8_group_3(A, C)) => r2_tarski(C, k8_group_3(A, B))) ) ) ) ) ) ) ).
fof(t99_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (k8_group_3(A, B)=k8_group_3(A, C) <=>  ~ (r1_xboole_0(k8_group_3(A, B), k8_group_3(A, C))) ) ) ) ) ) ) ) ).
fof(t101_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v8_struct_0(A) => v1_finset_1(k8_group_3(A, B))) ) ) ) ) ).
fof(d11_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (r5_group_3(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & g3_algstr_0(u1_struct_0(B), u2_algstr_0(B))=k6_group_3(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t102_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  (! [C] :  ( (v15_algstr_0(C) & m1_group_2(C, A))  =>  (r5_group_3(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & r1_group_2(A, C, k6_group_3(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t103_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  => r5_group_3(A, B, B)) ) ) ) ).
fof(t104_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  (! [C] :  ( (v15_algstr_0(C) & m1_group_2(C, A))  =>  (r5_group_3(A, B, C) => r5_group_3(A, C, B)) ) ) ) ) ) ) ).
fof(t105_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  ( (v15_algstr_0(C) & m1_group_2(C, A))  =>  (! [D] :  ( (v15_algstr_0(D) & m1_group_2(D, A))  =>  ( (r6_group_3(A, C, D) & r5_group_3(A, D, B))  => r5_group_3(A, C, B)) ) ) ) ) ) ) ) ) ).
fof(d12_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_group_3(A))) =>  (C=k9_group_3(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (? [E] :  ( (v15_algstr_0(E) & m1_group_2(E, A))  &  (D=E & r5_group_3(A, B, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t106_group_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_group_2(C, B) =>  (r2_tarski(A, k9_group_3(B, C)) =>  (v15_algstr_0(A) & m1_group_2(A, B)) ) ) ) ) ) ) ).
fof(t107_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  (! [C] :  ( (v15_algstr_0(C) & m1_group_2(C, A))  =>  (r2_tarski(B, k9_group_3(A, C)) <=> r6_group_3(A, B, C)) ) ) ) ) ) ) ).
fof(t108_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v15_algstr_0(C) & m1_group_2(C, A))  => r2_tarski(k6_group_3(A, C, B), k9_group_3(A, C))) ) ) ) ) ) ).
fof(t109_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  => r2_tarski(B, k9_group_3(A, B))) ) ) ) ).
fof(t110_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  (! [C] :  ( (v15_algstr_0(C) & m1_group_2(C, A))  =>  (r2_tarski(B, k9_group_3(A, C)) => r2_tarski(C, k9_group_3(A, B))) ) ) ) ) ) ) ).
fof(t111_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  (! [C] :  ( (v15_algstr_0(C) & m1_group_2(C, A))  =>  (k9_group_3(A, B)=k9_group_3(A, C) <=>  ~ (r1_xboole_0(k9_group_3(A, B), k9_group_3(A, C))) ) ) ) ) ) ) ) ).
fof(t112_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (v8_struct_0(A) => v1_finset_1(k9_group_3(A, B))) ) ) ) ) ).
fof(t113_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  ( (v15_algstr_0(C) & m1_group_2(C, A))  =>  (r5_group_3(A, C, B) <=> r4_group_3(A, k8_group_2(A, C), k8_group_2(A, B))) ) ) ) ) ) ) ).
fof(d13_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (v1_group_3(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k6_group_3(A, B, C)=g3_algstr_0(u1_struct_0(B), u2_algstr_0(B))) ) ) ) ) ) ) ).
fof(t114_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (v1_group_3(k6_group_2(A), A) & v1_group_3(k7_group_2(A), A)) ) ) ).
fof(t115_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) &  (v1_group_3(B, A) & m1_group_2(B, A)) )  =>  (! [C] :  ( (v15_algstr_0(C) &  (v1_group_3(C, A) & m1_group_2(C, A)) )  => v1_group_3(k10_group_2(A, B, C), A)) ) ) ) ) ) ).
fof(t116_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) )  => v1_group_3(B, A)) ) ) ) ) ).
fof(t117_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  ( (v1_group_3(B, A) & m1_group_2(B, A))  <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k13_group_2(A, B, C)=k14_group_2(A, B, C)) ) ) ) ) ) ) ).
fof(t118_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  ( (v1_group_3(B, A) & m1_group_2(B, A))  <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_tarski(k13_group_2(A, B, C), k14_group_2(A, B, C))) ) ) ) ) ) ) ).
fof(t119_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  ( (v1_group_3(B, A) & m1_group_2(B, A))  <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_tarski(k14_group_2(A, B, C), k13_group_2(A, B, C))) ) ) ) ) ) ) ).
fof(t120_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  ( (v1_group_3(B, A) & m1_group_2(B, A))  <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k11_group_2(A, B, C)=k12_group_2(A, B, C)) ) ) ) ) ) ) ).
fof(t121_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  ( (v1_group_3(B, A) & m1_group_2(B, A))  <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => m1_group_2(B, k6_group_3(A, B, C))) ) ) ) ) ) ) ).
fof(t122_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  ( (v1_group_3(B, A) & m1_group_2(B, A))  <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => m1_group_2(k6_group_3(A, B, C), B)) ) ) ) ) ) ) ).
fof(t123_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  ( (v1_group_3(B, A) & m1_group_2(B, A))  <=> k9_group_3(A, B)=k1_tarski(B)) ) ) ) ) ).
fof(t124_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  ( (v1_group_3(B, A) & m1_group_2(B, A))  <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_struct_0(B, C) => r1_tarski(k7_group_3(A, C), k8_group_2(A, B))) ) ) ) ) ) ) ) ).
fof(t125_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) &  (v1_group_3(B, A) & m1_group_2(B, A)) )  =>  (! [C] :  ( (v15_algstr_0(C) &  (v1_group_3(C, A) & m1_group_2(C, A)) )  => k2_group_2(A, k8_group_2(A, B), k8_group_2(A, C))=k2_group_2(A, k8_group_2(A, C), k8_group_2(A, B))) ) ) ) ) ) ).
fof(t126_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) &  (v1_group_3(B, A) & m1_group_2(B, A)) )  =>  (! [C] :  ( (v15_algstr_0(C) &  (v1_group_3(C, A) & m1_group_2(C, A)) )  =>  (? [D] :  ( (v15_algstr_0(D) &  (v1_group_3(D, A) & m1_group_2(D, A)) )  & u1_struct_0(D)=k2_group_2(A, k8_group_2(A, B), k8_group_2(A, C))) ) ) ) ) ) ) ) ).
fof(t127_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_group_3(B, A) & m1_group_2(B, A))  => k15_group_2(A, B)=k16_group_2(A, B)) ) ) ) ).
fof(t128_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  ( (v1_finset_1(k15_group_2(A, B)) & k18_group_2(A, B)=2)  =>  (v1_group_3(B, A) & m1_group_2(B, A)) ) ) ) ) ) ).
fof(t129_group_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (r1_struct_0(k10_group_3(B, C), A) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & k4_group_3(B, C, D)=C) ) ) ) ) ) ) ) ) ).
fof(t130_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k1_card_1(k8_group_3(A, B))=k17_group_2(A, k10_group_3(A, B))) ) ) ) ).
fof(t131_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( (v1_finset_1(k8_group_3(A, B)) | v1_finset_1(k15_group_2(A, k10_group_3(A, B))))  &  (! [C] :  (v1_finset_1(C) =>  ~ ( (C=k8_group_3(A, B) & k4_card_1(C)=k18_group_2(A, k10_group_3(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(t132_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_card_1(k7_group_3(A, B))=k17_group_2(A, k10_group_3(A, k6_domain_1(u1_struct_0(A), B)))) ) ) ) ).
fof(t133_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ ( ( (v1_finset_1(k7_group_3(A, B)) | v1_finset_1(k15_group_2(A, k10_group_3(A, k6_domain_1(u1_struct_0(A), B)))))  &  (! [C] :  (v1_finset_1(C) =>  ~ ( (C=k7_group_3(A, B) & k4_card_1(C)=k18_group_2(A, k10_group_3(A, k6_domain_1(u1_struct_0(A), B)))) ) ) ) ) ) ) ) ) ) ).
fof(d15_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) => k11_group_3(A, B)=k10_group_3(A, k8_group_2(A, B))) ) ) ) ).
fof(t134_group_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v15_algstr_0(C) & m1_group_2(C, B))  =>  (r1_struct_0(k11_group_3(B, C), A) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & r1_group_2(B, k6_group_3(B, C, D), C)) ) ) ) ) ) ) ) ) ).
fof(t135_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  => k1_card_1(k9_group_3(A, B))=k17_group_2(A, k11_group_3(A, B))) ) ) ) ).
fof(t136_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  ~ ( ( (v1_finset_1(k9_group_3(A, B)) | v1_finset_1(k15_group_2(A, k11_group_3(A, B))))  &  (! [C] :  (v1_finset_1(C) =>  ~ ( (C=k9_group_3(A, B) & k4_card_1(C)=k18_group_2(A, k11_group_3(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(t137_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  ( (v1_group_3(B, A) & m1_group_2(B, A))  <=> k11_group_3(A, B)=A) ) ) ) ) ).
fof(t138_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  => k11_group_3(A, k6_group_2(A))=A) ) ).
fof(t139_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  => k11_group_3(A, k7_group_2(A))=A) ) ).
fof(dt_k2_group_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k2_group_3(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k3_group_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k3_group_3(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k4_group_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k4_group_3(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k5_group_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k5_group_3(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k6_group_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_group_2(B, A) & m1_subset_1(C, u1_struct_0(A))) )  =>  (v15_algstr_0(k6_group_3(A, B, C)) & m1_group_2(k6_group_3(A, B, C), A)) ) ) ).
fof(symmetry_r2_group_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r2_group_3(A, B, C) => r2_group_3(A, C, B)) ) ) ).
fof(reflexivity_r2_group_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => r2_group_3(A, B, B)) ) ).
fof(redefinition_r2_group_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r2_group_3(A, B, C) <=> r1_group_3(A, B, C)) ) ) ).
fof(dt_k7_group_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k7_group_3(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(symmetry_r4_group_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (r4_group_3(A, B, C) => r4_group_3(A, C, B)) ) ) ).
fof(reflexivity_r4_group_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => r4_group_3(A, B, B)) ) ).
fof(redefinition_r4_group_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (r4_group_3(A, B, C) <=> r3_group_3(A, B, C)) ) ) ).
fof(dt_k8_group_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k8_group_3(A, B), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(symmetry_r6_group_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  ( (v15_algstr_0(B) & m1_group_2(B, A))  &  (v15_algstr_0(C) & m1_group_2(C, A)) ) )  =>  (r6_group_3(A, B, C) => r6_group_3(A, C, B)) ) ) ).
fof(reflexivity_r6_group_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  ( (v15_algstr_0(B) & m1_group_2(B, A))  &  (v15_algstr_0(C) & m1_group_2(C, A)) ) )  => r6_group_3(A, B, B)) ) ).
fof(redefinition_r6_group_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  ( (v15_algstr_0(B) & m1_group_2(B, A))  &  (v15_algstr_0(C) & m1_group_2(C, A)) ) )  =>  (r6_group_3(A, B, C) <=> r5_group_3(A, B, C)) ) ) ).
fof(dt_k9_group_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  & m1_group_2(B, A))  => m1_subset_1(k9_group_3(A, B), k1_zfmisc_1(k1_group_3(A)))) ) ).
fof(dt_k10_group_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v15_algstr_0(k10_group_3(A, B)) & m1_group_2(k10_group_3(A, B), A)) ) ) ).
fof(dt_k11_group_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  & m1_group_2(B, A))  =>  (v15_algstr_0(k11_group_3(A, B)) & m1_group_2(k11_group_3(A, B), A)) ) ) ).
fof(d3_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k3_group_3(A, B, C)=a_3_0_group_3(A, B, C)) ) ) ) ) ) ).
fof(t79_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_group_3(A, k8_group_2(A, k7_group_2(A)), B)=a_2_0_group_3(A, B)) ) ) ) ).
fof(d10_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k8_group_3(A, B)=a_2_1_group_3(A, B)) ) ) ) ).
fof(t100_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k8_group_3(A, k6_domain_1(u1_struct_0(A), B))=a_2_2_group_3(A, B)) ) ) ) ).
fof(d14_group_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v15_algstr_0(C) & m1_group_2(C, A))  =>  (C=k10_group_3(A, B) <=> u1_struct_0(C)=a_2_3_group_3(A, B)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_group_3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  &  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (r2_hidden(A, a_3_0_group_3(B, C, D)) <=>  (? [E, F] :  ( (m1_subset_1(E, u1_struct_0(B)) & m1_subset_1(F, u1_struct_0(B)))  &  (A=k2_group_3(B, E, F) &  (r2_tarski(E, C) & r2_tarski(F, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_group_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_2_0_group_3(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & r2_group_3(B, C, D)) ) ) ) ) ) ).
fof(fraenkel_a_2_1_group_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_1_group_3(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) &  (A=D & r4_group_3(B, C, D)) ) ) ) ) ) ).
fof(fraenkel_a_2_2_group_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_2_2_group_3(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=k6_domain_1(u1_struct_0(B), D) & r2_tarski(D, k7_group_3(B, C))) ) ) ) ) ) ).
fof(fraenkel_a_2_3_group_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_3_group_3(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & k4_group_3(B, C, D)=C) ) ) ) ) ) ).
fof(fc1_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  ( ~ (v2_struct_0(k11_group_4(A)))  &  (v3_lattices(k11_group_4(A)) &  (v10_lattices(k11_group_4(A)) &  (v13_lattices(k11_group_4(A)) & v14_lattices(k11_group_4(A))) ) ) ) ) ) ).
fof(d1_group_4, axiom,  (! [A] :  (v1_int_1(A) => k2_group_4(A)=A) ) ).
fof(t1_group_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_group_2(D, B) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(D)) =>  (C=E => k5_group_1(B, C, A)=k5_group_1(D, E, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_group_4, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_group_2(D, B) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(D)) =>  (C=E => k5_group_1(B, C, A)=k5_group_1(D, E, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_group_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_group_2(D, B) =>  (r1_struct_0(D, C) => r1_struct_0(D, k5_group_1(B, C, A))) ) ) ) ) ) ) ) ) ).
fof(t4_group_4, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_group_2(D, B) =>  (r1_struct_0(D, C) => r1_struct_0(D, k5_group_1(B, C, A))) ) ) ) ) ) ) ) ) ).
fof(d2_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) => k3_group_4(A, B)=k1_finsop_1(u1_struct_0(A), B, u2_algstr_0(A))) ) ) ) ).
fof(t5_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) => k3_group_4(A, k8_finseq_1(u1_struct_0(A), B, C))=k6_algstr_0(A, k3_group_4(A, B), k3_group_4(A, C))) ) ) ) ) ) ).
fof(t6_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_group_4(A, k8_finseq_1(u1_struct_0(A), B, k12_finseq_1(u1_struct_0(A), C)))=k6_algstr_0(A, k3_group_4(A, B), C)) ) ) ) ) ) ).
fof(t7_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_group_4(A, k8_finseq_1(u1_struct_0(A), k12_finseq_1(u1_struct_0(A), C), B))=k6_algstr_0(A, C, k3_group_4(A, B))) ) ) ) ) ) ).
fof(t8_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  => k3_group_4(A, k6_finseq_1(u1_struct_0(A)))=k1_group_1(A)) ) ).
fof(t9_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k3_group_4(A, k12_finseq_1(u1_struct_0(A), B))=B) ) ) ) ).
fof(t10_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_group_4(A, k2_finseq_4(u1_struct_0(A), B, C))=k6_algstr_0(A, B, C)) ) ) ) ) ) ).
fof(t11_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k3_group_4(A, k3_finseq_4(u1_struct_0(A), B, C, D))=k6_algstr_0(A, k6_algstr_0(A, B, C), D) & k3_group_4(A, k3_finseq_4(u1_struct_0(A), B, C, D))=k6_algstr_0(A, B, k6_algstr_0(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t12_group_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k3_group_4(B, k5_finseq_2(u1_struct_0(B), A, C))=k5_group_1(B, C, A)) ) ) ) ) ) ).
fof(t13_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) => k3_group_4(A, k1_group_4(u1_struct_0(A), B, k6_domain_1(u1_struct_0(A), k1_group_1(A))))=k3_group_4(A, B)) ) ) ) ).
fof(t14_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(B)) => k1_funct_1(C, k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(B), D), 1))=k2_group_1(A, k7_partfun1(u1_struct_0(A), B, D))) ) ) )  => k3_group_4(A, B)=k2_group_1(A, k3_group_4(A, C))) ) ) ) ) ) ) ).
fof(t15_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_1(B), k4_finseq_1(B)) &  (v3_funct_2(D, k4_finseq_1(B), k4_finseq_1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(B), k4_finseq_1(B))))) ) )  =>  (C=k1_partfun1(k4_finseq_1(B), k4_finseq_1(B), k4_ordinal1, u1_struct_0(A), D, B) => k3_group_4(A, B)=k3_group_4(A, C)) ) ) ) ) ) ) ) ) ) ).
fof(t16_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) )  &  (v2_funct_1(B) &  (v2_funct_1(C) & k10_xtuple_0(B)=k10_xtuple_0(C)) ) )  => k3_group_4(A, B)=k3_group_4(A, C)) ) ) ) ) ) ) ).
fof(t17_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) )  &  (k3_finseq_1(B)=k3_finseq_1(C) &  (k3_finseq_1(B)=k3_finseq_1(D) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(B)) => k1_funct_1(B, E)=k6_algstr_0(A, k7_partfun1(u1_struct_0(A), C, E), k7_partfun1(u1_struct_0(A), D, E))) ) ) ) ) )  => k3_group_4(A, B)=k6_algstr_0(A, k3_group_4(A, C), k3_group_4(A, D))) ) ) ) ) ) ) ) ) ).
fof(t18_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (r1_tarski(k10_xtuple_0(C), k8_group_2(A, B)) => r1_struct_0(B, k3_group_4(A, C))) ) ) ) ) ) ) ).
fof(d3_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m2_finseq_1(B, k4_numbers) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (D=k4_group_4(A, B, C) <=>  (k3_finseq_1(D)=k3_finseq_1(C) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(C)) => k1_funct_1(D, E)=k5_group_1(A, k7_partfun1(u1_struct_0(A), C, E), k2_group_4(k7_partfun1(k4_numbers, B, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, k4_numbers) =>  (! [E] :  (m2_finseq_1(E, k4_numbers) =>  ( (k3_finseq_1(B)=k3_finseq_1(D) & k3_finseq_1(C)=k3_finseq_1(E))  => k4_group_4(A, k8_finseq_1(k4_numbers, D, E), k8_finseq_1(u1_struct_0(A), B, C))=k8_finseq_1(u1_struct_0(A), k4_group_4(A, D, B), k4_group_4(A, E, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, k4_numbers) =>  (r1_tarski(k10_xtuple_0(C), k8_group_2(A, B)) => r1_struct_0(B, k3_group_4(A, k4_group_4(A, D, C)))) ) ) ) ) ) ) ) ) ).
fof(t21_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  => k4_group_4(A, k6_finseq_1(k4_numbers), k6_finseq_1(u1_struct_0(A)))=k1_xboole_0) ) ).
fof(t22_group_4, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k4_group_4(B, k12_finseq_1(k4_numbers, k2_group_4(A)), k12_finseq_1(u1_struct_0(B), C))=k12_finseq_1(u1_struct_0(B), k5_group_1(B, C, A))) ) ) ) ) ) ).
fof(t23_group_4, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) & l3_algstr_0(C)) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) => k4_group_4(C, k2_finseq_4(k4_numbers, k2_group_4(A), k2_group_4(B)), k2_finseq_4(u1_struct_0(C), D, E))=k2_finseq_4(u1_struct_0(C), k5_group_1(C, D, A), k5_group_1(C, E, B))) ) ) ) ) ) ) ) ) ) ).
fof(t24_group_4, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v2_group_1(D) &  (v3_group_1(D) & l3_algstr_0(D)) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(D)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(D)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(D)) => k4_group_4(D, k3_finseq_4(k4_numbers, k2_group_4(A), k2_group_4(B), k2_group_4(C)), k3_finseq_4(u1_struct_0(D), E, F, G))=k3_finseq_4(u1_struct_0(D), k5_group_1(D, E, A), k5_group_1(D, F, B), k5_group_1(D, G, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) => k4_group_4(A, k5_finseq_2(k4_numbers, k3_finseq_1(B), k2_group_4(1)), B)=B) ) ) ) ).
fof(t26_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) => k4_group_4(A, k5_finseq_2(k4_numbers, k3_finseq_1(B), k2_group_4(k5_numbers)), B)=k5_finseq_2(u1_struct_0(A), k3_finseq_1(B), k1_group_1(A))) ) ) ) ).
fof(t27_group_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m2_finseq_1(C, k4_numbers) =>  (k3_finseq_1(C)=A => k4_group_4(B, C, k5_finseq_2(u1_struct_0(B), A, k1_group_1(B)))=k5_finseq_2(u1_struct_0(B), A, k1_group_1(B))) ) ) ) ) ) ) ).
fof(d4_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v15_algstr_0(C) & m1_group_2(C, A))  =>  (C=k5_group_4(A, B) <=>  (r1_tarski(B, u1_struct_0(C)) &  (! [D] :  ( (v15_algstr_0(D) & m1_group_2(D, A))  =>  (r1_tarski(B, u1_struct_0(D)) => m1_group_2(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_struct_0(k5_group_4(A, C), B) <=>  (? [D] :  (m2_finseq_1(D, u1_struct_0(A)) &  (? [E] :  (m2_finseq_1(E, k4_numbers) &  (k3_finseq_1(D)=k3_finseq_1(E) &  (r1_tarski(k10_xtuple_0(D), C) & k3_group_4(A, k4_group_4(A, E, D))=B) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(B, C) => r1_struct_0(k5_group_4(A, C), B)) ) ) ) ) ) ) ).
fof(t30_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  => r1_group_2(A, k5_group_4(A, k1_subset_1(u1_struct_0(A))), k6_group_2(A))) ) ).
fof(t31_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  => r1_group_2(A, k5_group_4(A, k8_group_2(A, B)), B)) ) ) ) ).
fof(t32_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(B, C) => m1_group_2(k5_group_4(A, B), k5_group_4(A, C))) ) ) ) ) ) ) ).
fof(t33_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => m1_group_2(k5_group_4(A, k9_subset_1(u1_struct_0(A), B, C)), k10_group_2(A, k5_group_4(A, B), k5_group_4(A, C)))) ) ) ) ) ) ).
fof(t35_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => r1_group_2(A, k5_group_4(A, B), k5_group_4(A, k7_subset_1(u1_struct_0(A), B, k6_domain_1(u1_struct_0(A), k1_group_1(A)))))) ) ) ) ).
fof(d5_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v1_group_4(B, A) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) &  (k5_group_4(A, C)=g3_algstr_0(u1_struct_0(A), u2_algstr_0(A)) &  ~ (k5_group_4(A, k7_subset_1(u1_struct_0(A), C, k6_domain_1(u1_struct_0(A), B)))=g3_algstr_0(u1_struct_0(A), u2_algstr_0(A))) ) ) ) ) ) ) ) ) ).
fof(t36_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  ~ (v1_group_4(k1_group_1(A), A)) ) ) ).
fof(d6_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (v2_group_4(B, A) <=>  ( ~ (g3_algstr_0(u1_struct_0(B), u2_algstr_0(B))=g3_algstr_0(u1_struct_0(A), u2_algstr_0(A)))  &  (! [C] :  ( (v15_algstr_0(C) & m1_group_2(C, A))  =>  (m1_group_2(B, C) =>  (g3_algstr_0(u1_struct_0(B), u2_algstr_0(B))=C | C=g3_algstr_0(u1_struct_0(A), u2_algstr_0(A))) ) ) ) ) ) ) ) ) ) ).
fof(t37_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v2_group_4(B, A) =>  (r1_struct_0(B, C) | k5_group_4(A, k4_subset_1(u1_struct_0(A), k8_group_2(A, B), k6_domain_1(u1_struct_0(A), C)))=A) ) ) ) ) ) ) ) ).
fof(t38_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) & l3_algstr_0(C)) ) )  =>  ( (? [D] :  ( (v15_algstr_0(D) & m1_group_2(D, C))  & v2_group_4(D, C)) )  =>  (r1_struct_0(k6_group_4(C), B) <=>  (! [D] :  ( (v15_algstr_0(D) & m1_group_2(D, C))  =>  (v2_group_4(D, C) => r1_struct_0(D, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (! [C] :  ( (v15_algstr_0(C) & m1_group_2(C, A))  =>  ~ (v2_group_4(C, A)) ) )  => r1_struct_0(k6_group_4(A), B)) ) ) ) ) ).
fof(t40_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  (v2_group_4(B, A) => m1_group_2(k6_group_4(A), B)) ) ) ) ) ).
fof(t42_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (r1_struct_0(k6_group_4(A), B) <=>  ~ (v1_group_4(B, A)) ) ) ) ) ) ).
fof(d8_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) => k7_group_4(A, B, C)=k2_group_2(A, k8_group_2(A, B), k8_group_2(A, C))) ) ) ) ) ) ).
fof(t43_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (k7_group_4(A, B, C)=k2_group_2(A, k8_group_2(A, B), k8_group_2(A, C)) &  (k7_group_4(A, B, C)=k12_group_2(A, B, k8_group_2(A, C)) & k7_group_4(A, B, C)=k11_group_2(A, C, k8_group_2(A, B))) ) ) ) ) ) ) ) ).
fof(t44_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_group_2(D, A) => k11_group_2(A, D, k7_group_4(A, B, C))=k12_group_2(A, B, k7_group_4(A, C, D))) ) ) ) ) ) ) ) ).
fof(t45_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_group_2(D, A) => k11_group_2(A, D, k13_group_2(A, C, B))=k4_group_2(A, B, k7_group_4(A, C, D))) ) ) ) ) ) ) ) ).
fof(t46_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_group_2(D, A) => k5_group_2(A, B, k7_group_4(A, C, D))=k12_group_2(A, C, k14_group_2(A, D, B))) ) ) ) ) ) ) ) ).
fof(t47_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_group_2(D, A) => k11_group_2(A, D, k11_group_2(A, C, B))=k2_group_2(A, B, k7_group_4(A, C, D))) ) ) ) ) ) ) ) ).
fof(t48_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_group_2(D, A) => k2_group_2(A, k7_group_4(A, C, D), B)=k12_group_2(A, C, k12_group_2(A, D, B))) ) ) ) ) ) ) ) ).
fof(d9_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) => k8_group_4(A, B, C)=k5_group_4(A, k4_subset_1(u1_struct_0(A), k8_group_2(A, B), k8_group_2(A, C)))) ) ) ) ) ) ).
fof(t49_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_group_2(D, A) =>  (r1_struct_0(k8_group_4(A, C, D), B) <=>  (? [E] :  (m2_finseq_1(E, u1_struct_0(A)) &  (? [F] :  (m2_finseq_1(F, k4_numbers) &  (k3_finseq_1(E)=k3_finseq_1(F) &  (r1_tarski(k10_xtuple_0(E), k4_subset_1(u1_struct_0(A), k8_group_2(A, C), k8_group_2(A, D))) & B=k3_group_4(A, k4_group_4(A, F, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) => r1_group_2(A, k8_group_4(A, B, C), k5_group_4(A, k7_group_4(A, B, C)))) ) ) ) ) ) ).
fof(t51_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (k7_group_4(A, B, C)=k7_group_4(A, C, B) => u1_struct_0(k8_group_4(A, B, C))=k7_group_4(A, B, C)) ) ) ) ) ) ) ).
fof(t52_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) )  => u1_struct_0(k8_group_4(A, B, C))=k7_group_4(A, B, C)) ) ) ) ) ) ) ).
fof(t53_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) &  (v1_group_3(B, A) & m1_group_2(B, A)) )  =>  (! [C] :  ( (v15_algstr_0(C) &  (v1_group_3(C, A) & m1_group_2(C, A)) )  => u1_struct_0(k8_group_4(A, B, C))=k7_group_4(A, B, C)) ) ) ) ) ) ).
fof(t54_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) &  (v1_group_3(B, A) & m1_group_2(B, A)) )  =>  (! [C] :  ( (v15_algstr_0(C) &  (v1_group_3(C, A) & m1_group_2(C, A)) )  =>  (v1_group_3(k8_group_4(A, B, C), A) & m1_group_2(k8_group_4(A, B, C), A)) ) ) ) ) ) ) ).
fof(t55_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  => r1_group_2(A, k8_group_4(A, B, B), B)) ) ) ) ).
fof(t56_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) => r1_group_2(A, k8_group_4(A, B, C), k8_group_4(A, C, B))) ) ) ) ) ) ).
fof(t57_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_group_2(D, A) => r1_group_2(A, k8_group_4(A, k8_group_4(A, B, C), D), k8_group_4(A, B, k8_group_4(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t58_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  (r1_group_2(A, k8_group_4(A, k6_group_2(A), B), B) & r1_group_2(A, k8_group_4(A, B, k6_group_2(A)), B)) ) ) ) ) ).
fof(t59_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (r1_group_2(A, k8_group_4(A, k7_group_2(A), B), k7_group_2(A)) & r1_group_2(A, k8_group_4(A, B, k7_group_2(A)), k7_group_2(A))) ) ) ) ) ).
fof(t60_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (m1_group_2(B, k8_group_4(A, B, C)) & m1_group_2(C, k8_group_4(A, B, C))) ) ) ) ) ) ) ).
fof(t61_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  ( (v15_algstr_0(C) & m1_group_2(C, A))  =>  (m1_group_2(B, C) <=> r1_group_2(A, k8_group_4(A, B, C), C)) ) ) ) ) ) ) ).
fof(t62_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_group_2(D, A) =>  (m1_group_2(B, C) => m1_group_2(B, k8_group_4(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t63_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  ( (v15_algstr_0(D) & m1_group_2(D, A))  =>  ( (m1_group_2(B, D) & m1_group_2(C, D))  => m1_group_2(k8_group_4(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t64_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  ( (v15_algstr_0(C) & m1_group_2(C, A))  =>  (! [D] :  ( (v15_algstr_0(D) & m1_group_2(D, A))  =>  (m1_group_2(B, D) => m1_group_2(k8_group_4(A, B, C), k8_group_4(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t65_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) => m1_group_2(k10_group_2(A, B, C), k8_group_4(A, B, C))) ) ) ) ) ) ).
fof(t66_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  ( (v15_algstr_0(C) & m1_group_2(C, A))  => r1_group_2(A, k8_group_4(A, k10_group_2(A, B, C), C), C)) ) ) ) ) ) ).
fof(t67_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  ( (v15_algstr_0(C) & m1_group_2(C, A))  => r1_group_2(A, k10_group_2(A, C, k8_group_4(A, C, B)), C)) ) ) ) ) ) ).
fof(t68_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  (! [C] :  ( (v15_algstr_0(C) & m1_group_2(C, A))  =>  (r1_group_2(A, k8_group_4(A, B, C), C) <=> r1_group_2(A, k10_group_2(A, B, C), B)) ) ) ) ) ) ) ).
fof(d10_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k1_group_3(A), k1_group_3(A)), k1_group_3(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_group_3(A), k1_group_3(A)), k1_group_3(A))))) )  =>  (B=k9_group_4(A) <=>  (! [C] :  ( (v15_algstr_0(C) & m1_group_2(C, A))  =>  (! [D] :  ( (v15_algstr_0(D) & m1_group_2(D, A))  => k1_binop_1(B, C, D)=k8_group_4(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(d11_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k1_group_3(A), k1_group_3(A)), k1_group_3(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_group_3(A), k1_group_3(A)), k1_group_3(A))))) )  =>  (B=k10_group_4(A) <=>  (! [C] :  ( (v15_algstr_0(C) & m1_group_2(C, A))  =>  (! [D] :  ( (v15_algstr_0(D) & m1_group_2(D, A))  => k1_binop_1(B, C, D)=k10_group_2(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(d12_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  => k11_group_4(A)=g3_lattices(k1_group_3(A), k9_group_4(A), k10_group_4(A))) ) ).
fof(t69_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  => u1_struct_0(k11_group_4(A))=k1_group_3(A)) ) ).
fof(t70_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  => r1_funct_2(k2_zfmisc_1(u1_struct_0(k11_group_4(A)), u1_struct_0(k11_group_4(A))), u1_struct_0(k11_group_4(A)), k2_zfmisc_1(k1_group_3(A), k1_group_3(A)), k1_group_3(A), u2_lattices(k11_group_4(A)), k9_group_4(A))) ) ).
fof(t71_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  => r1_funct_2(k2_zfmisc_1(u1_struct_0(k11_group_4(A)), u1_struct_0(k11_group_4(A))), u1_struct_0(k11_group_4(A)), k2_zfmisc_1(k1_group_3(A), k1_group_3(A)), k1_group_3(A), u1_lattices(k11_group_4(A)), k10_group_4(A))) ) ).
fof(t72_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  => k5_lattices(k11_group_4(A))=k6_group_2(A)) ) ).
fof(t73_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  => k6_lattices(k11_group_4(A))=k7_group_2(A)) ) ).
fof(s2_group_4, axiom,  (? [A] :  (r1_tarski(A, k1_group_3(f1_s2_group_4)) &  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, f1_s2_group_4))  =>  (r2_tarski(B, A) <=> p1_s2_group_4(B)) ) ) ) ) ).
fof(dt_k1_group_4, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(B, A))  => m2_finseq_1(k1_group_4(A, B, C), A)) ) ).
fof(redefinition_k1_group_4, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(B, A))  => k1_group_4(A, B, C)=k1_finseq_3(B, C)) ) ).
fof(dt_f1_s1_group_4, axiom,  ( ~ (v2_struct_0(f1_s1_group_4))  &  (v2_group_1(f1_s1_group_4) &  (v3_group_1(f1_s1_group_4) & l3_algstr_0(f1_s1_group_4)) ) ) ).
fof(dt_f1_s2_group_4, axiom,  ( ~ (v2_struct_0(f1_s2_group_4))  &  (v2_group_1(f1_s2_group_4) &  (v3_group_1(f1_s2_group_4) & l3_algstr_0(f1_s2_group_4)) ) ) ).
fof(dt_k2_group_4, axiom,  (! [A] :  (v1_int_1(A) => m1_subset_1(k2_group_4(A), k4_numbers)) ) ).
fof(dt_k3_group_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  & m1_finseq_1(B, u1_struct_0(A)))  => m1_subset_1(k3_group_4(A, B), u1_struct_0(A))) ) ).
fof(dt_k4_group_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_finseq_1(B, k4_numbers) & m1_finseq_1(C, u1_struct_0(A))) )  => m2_finseq_1(k4_group_4(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k5_group_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v15_algstr_0(k5_group_4(A, B)) & m1_group_2(k5_group_4(A, B), A)) ) ) ).
fof(dt_k6_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (v15_algstr_0(k6_group_4(A)) & m1_group_2(k6_group_4(A), A)) ) ) ).
fof(dt_k7_group_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_group_2(B, A) & m1_group_2(C, A)) )  => m1_subset_1(k7_group_4(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k8_group_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_group_2(B, A) & m1_group_2(C, A)) )  =>  (v15_algstr_0(k8_group_4(A, B, C)) & m1_group_2(k8_group_4(A, B, C), A)) ) ) ).
fof(dt_k9_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (v1_funct_1(k9_group_4(A)) &  (v1_funct_2(k9_group_4(A), k2_zfmisc_1(k1_group_3(A), k1_group_3(A)), k1_group_3(A)) & m1_subset_1(k9_group_4(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_group_3(A), k1_group_3(A)), k1_group_3(A))))) ) ) ) ).
fof(dt_k10_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (v1_funct_1(k10_group_4(A)) &  (v1_funct_2(k10_group_4(A), k2_zfmisc_1(k1_group_3(A), k1_group_3(A)), k1_group_3(A)) & m1_subset_1(k10_group_4(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_group_3(A), k1_group_3(A)), k1_group_3(A))))) ) ) ) ).
fof(dt_k11_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  ( ~ (v2_struct_0(k11_group_4(A)))  &  (v3_lattices(k11_group_4(A)) &  (v10_lattices(k11_group_4(A)) & l3_lattices(k11_group_4(A))) ) ) ) ) ).
fof(t34_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => u1_struct_0(k5_group_4(A, B))=k1_setfam_1(a_2_0_group_4(A, B))) ) ) ) ).
fof(d7_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  ( ( (? [C] :  ( (v15_algstr_0(C) & m1_group_2(C, A))  & v2_group_4(C, A)) )  =>  (B=k6_group_4(A) <=> u1_struct_0(B)=k1_setfam_1(a_1_0_group_4(A))) )  &  ( (! [C] :  ( (v15_algstr_0(C) & m1_group_2(C, A))  =>  ~ (v2_group_4(C, A)) ) )  =>  (B=k6_group_4(A) <=> B=g3_algstr_0(u1_struct_0(A), u2_algstr_0(A))) ) ) ) ) ) ) ).
fof(t41_group_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  => u1_struct_0(k6_group_4(A))=a_1_1_group_4(A)) ) ).
fof(s1_group_4, axiom,  ( (? [A] :  ( (v15_algstr_0(A) & m1_group_2(A, f1_s1_group_4))  & p1_s1_group_4(A)) )  =>  (? [A] :  ( (v15_algstr_0(A) & m1_group_2(A, f1_s1_group_4))  & u1_struct_0(A)=k1_setfam_1(a_0_0_group_4)) ) ) ).
fof(fraenkel_a_2_0_group_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_0_group_4(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) &  (A=D &  (? [E] :  ( (v15_algstr_0(E) & m1_group_2(E, B))  &  (D=u1_struct_0(E) & r1_tarski(C, k8_group_2(B, E))) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_group_4, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (r2_hidden(A, a_1_0_group_4(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) &  (A=C &  (? [D] :  ( (v15_algstr_0(D) & m1_group_2(D, B))  &  (C=u1_struct_0(D) & v2_group_4(D, B)) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_1_group_4, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v15_algstr_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (r2_hidden(A, a_1_1_group_4(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(B)) &  (A=C &  ~ (v1_group_4(C, B)) ) ) ) ) ) ) ).
fof(fraenkel_a_0_0_group_4, axiom,  (! [A] :  (r2_hidden(A, a_0_0_group_4) <=>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(f1_s1_group_4))) &  (A=B &  (? [C] :  ( (v15_algstr_0(C) & m1_group_2(C, f1_s1_group_4))  &  (B=u1_struct_0(C) & p1_s1_group_4(C)) ) ) ) ) ) ) ) ).
fof(t1_group_5, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (r1_struct_0(k6_group_2(B), A) <=> A=k1_group_1(B)) ) ) ) ).
fof(t2_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_group_2(D, A) =>  ( (r1_struct_0(D, B) & r1_struct_0(D, C))  => r1_struct_0(D, k2_group_3(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t3_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v15_algstr_0(D) &  (v1_group_3(D, A) & m1_group_2(D, A)) )  =>  (r1_struct_0(D, B) => r1_struct_0(D, k2_group_3(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t4_group_5, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_group_2(C, B) =>  (! [D] :  (m1_group_2(D, B) =>  (r2_tarski(A, k7_group_4(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (A=k6_algstr_0(B, E, F) &  (r1_struct_0(C, E) & r1_struct_0(D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_group_5, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_group_2(C, B) =>  (! [D] :  (m1_group_2(D, B) =>  (k7_group_4(B, C, D)=k7_group_4(B, D, C) =>  (r1_struct_0(k8_group_4(B, C, D), A) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (A=k6_algstr_0(B, E, F) &  (r1_struct_0(C, E) & r1_struct_0(D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_group_5, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_group_2(C, B) =>  (! [D] :  (m1_group_2(D, B) =>  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (r1_struct_0(k8_group_4(B, C, D), A) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (A=k6_algstr_0(B, E, F) &  (r1_struct_0(C, E) & r1_struct_0(D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_group_5, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v15_algstr_0(C) &  (v1_group_3(C, B) & m1_group_2(C, B)) )  =>  (! [D] :  ( (v15_algstr_0(D) &  (v1_group_3(D, B) & m1_group_2(D, B)) )  =>  (r1_struct_0(k8_group_4(B, C, D), A) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (A=k6_algstr_0(B, E, F) &  (r1_struct_0(C, E) & r1_struct_0(D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  ( (v1_group_3(C, A) & m1_group_2(C, A))  => k7_group_4(A, B, C)=k7_group_4(A, C, B)) ) ) ) ) ) ).
fof(d1_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (D=k1_group_5(A, B, C) <=>  (k3_finseq_1(D)=k3_finseq_1(B) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(B)) => k1_funct_1(D, E)=k2_group_3(A, k7_partfun1(u1_struct_0(A), B, E), C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) => k8_finseq_1(u1_struct_0(A), k1_group_5(A, C, B), k1_group_5(A, D, B))=k1_group_5(A, k8_finseq_1(u1_struct_0(A), C, D), B)) ) ) ) ) ) ) ) ).
fof(t10_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_group_5(A, k6_finseq_1(u1_struct_0(A)), B)=k1_xboole_0) ) ) ) ).
fof(t11_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_group_5(A, k12_finseq_1(u1_struct_0(A), B), C)=k12_finseq_1(u1_struct_0(A), k2_group_3(A, B, C))) ) ) ) ) ) ).
fof(t12_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_group_5(A, k2_finseq_4(u1_struct_0(A), B, C), D)=k2_finseq_4(u1_struct_0(A), k2_group_3(A, B, D), k2_group_3(A, C, D))) ) ) ) ) ) ) ) ).
fof(t13_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k1_group_5(A, k3_finseq_4(u1_struct_0(A), B, C, D), E)=k3_finseq_4(u1_struct_0(A), k2_group_3(A, B, E), k2_group_3(A, C, E), k2_group_3(A, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t14_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) => k3_group_4(A, k1_group_5(A, C, B))=k2_group_3(A, k3_group_4(A, C), B)) ) ) ) ) ) ).
fof(t15_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, k4_numbers) => k4_group_4(A, D, k1_group_5(A, C, B))=k1_group_5(A, k4_group_4(A, D, C), B)) ) ) ) ) ) ) ) ).
fof(d2_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_group_5(A, B, C)=k6_algstr_0(A, k6_algstr_0(A, k6_algstr_0(A, k2_group_1(A, B), k2_group_1(A, C)), B), C)) ) ) ) ) ) ).
fof(t16_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k2_group_5(A, B, C)=k6_algstr_0(A, k6_algstr_0(A, k6_algstr_0(A, k2_group_1(A, B), k2_group_1(A, C)), B), C) &  (k2_group_5(A, B, C)=k6_algstr_0(A, k6_algstr_0(A, k2_group_1(A, B), k6_algstr_0(A, k2_group_1(A, C), B)), C) &  (k2_group_5(A, B, C)=k6_algstr_0(A, k2_group_1(A, B), k6_algstr_0(A, k6_algstr_0(A, k2_group_1(A, C), B), C)) &  (k2_group_5(A, B, C)=k6_algstr_0(A, k2_group_1(A, B), k6_algstr_0(A, k2_group_1(A, C), k6_algstr_0(A, B, C))) & k2_group_5(A, B, C)=k6_algstr_0(A, k6_algstr_0(A, k2_group_1(A, B), k2_group_1(A, C)), k6_algstr_0(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t17_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_group_5(A, B, C)=k6_algstr_0(A, k2_group_1(A, k6_algstr_0(A, C, B)), k6_algstr_0(A, B, C))) ) ) ) ) ) ).
fof(t18_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k2_group_5(A, B, C)=k6_algstr_0(A, k2_group_3(A, k2_group_1(A, C), B), C) & k2_group_5(A, B, C)=k6_algstr_0(A, k2_group_1(A, B), k2_group_3(A, B, C))) ) ) ) ) ) ) ).
fof(t19_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k2_group_5(A, k1_group_1(A), B)=k1_group_1(A) & k2_group_5(A, B, k1_group_1(A))=k1_group_1(A)) ) ) ) ) ).
fof(t20_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_group_5(A, B, B)=k1_group_1(A)) ) ) ) ).
fof(t21_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k2_group_5(A, B, k2_group_1(A, B))=k1_group_1(A) & k2_group_5(A, k2_group_1(A, B), B)=k1_group_1(A)) ) ) ) ) ).
fof(t22_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_group_1(A, k2_group_5(A, B, C))=k2_group_5(A, C, B)) ) ) ) ) ) ).
fof(t23_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_group_3(A, k2_group_5(A, B, C), D)=k2_group_5(A, k2_group_3(A, B, D), k2_group_3(A, C, D))) ) ) ) ) ) ) ) ).
fof(t24_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_group_5(A, B, C)=k6_algstr_0(A, k6_algstr_0(A, k5_group_1(A, k2_group_1(A, B), 2), k5_group_1(A, k6_algstr_0(A, B, k2_group_1(A, C)), 2)), k5_group_1(A, C, 2))) ) ) ) ) ) ).
fof(t25_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_group_5(A, k6_algstr_0(A, B, C), D)=k6_algstr_0(A, k2_group_3(A, k2_group_5(A, B, D), C), k2_group_5(A, C, D))) ) ) ) ) ) ) ) ).
fof(t26_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_group_5(A, B, k6_algstr_0(A, C, D))=k6_algstr_0(A, k2_group_5(A, B, D), k2_group_3(A, k2_group_5(A, B, C), D))) ) ) ) ) ) ) ) ).
fof(t27_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_group_5(A, k2_group_1(A, B), C)=k2_group_3(A, k2_group_5(A, C, B), k2_group_1(A, B))) ) ) ) ) ) ).
fof(t28_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_group_5(A, B, k2_group_1(A, C))=k2_group_3(A, k2_group_5(A, C, B), k2_group_1(A, C))) ) ) ) ) ) ).
fof(t29_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k2_group_5(A, k2_group_1(A, B), k2_group_1(A, C))=k2_group_3(A, k2_group_5(A, B, C), k2_group_1(A, k6_algstr_0(A, B, C))) & k2_group_5(A, k2_group_1(A, B), k2_group_1(A, C))=k2_group_3(A, k2_group_5(A, B, C), k2_group_1(A, k6_algstr_0(A, C, B)))) ) ) ) ) ) ) ).
fof(t30_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_group_5(A, B, k2_group_3(A, C, k2_group_1(A, B)))=k2_group_5(A, C, k2_group_1(A, B))) ) ) ) ) ) ).
fof(t31_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_group_5(A, k2_group_3(A, B, k2_group_1(A, C)), C)=k2_group_5(A, k2_group_1(A, C), B)) ) ) ) ) ) ).
fof(t32_group_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k2_group_5(B, k5_group_1(B, C, A), D)=k6_algstr_0(B, k5_group_1(B, C, k4_xcmplx_0(A)), k5_group_1(B, k2_group_3(B, C, D), A))) ) ) ) ) ) ) ) ).
fof(t33_group_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k2_group_5(B, C, k5_group_1(B, D, A))=k6_algstr_0(B, k5_group_1(B, k2_group_3(B, D, C), k4_xcmplx_0(A)), k5_group_1(B, D, A))) ) ) ) ) ) ) ) ).
fof(t34_group_5, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k2_group_5(B, k5_group_1(B, C, A), D)=k6_algstr_0(B, k5_group_1(B, C, k4_xcmplx_0(A)), k5_group_1(B, k2_group_3(B, C, D), A))) ) ) ) ) ) ) ) ).
fof(t35_group_5, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k2_group_5(B, C, k5_group_1(B, D, A))=k6_algstr_0(B, k5_group_1(B, k2_group_3(B, D, C), k4_xcmplx_0(A)), k5_group_1(B, D, A))) ) ) ) ) ) ) ) ).
fof(t36_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k2_group_5(A, B, C)=k1_group_1(A) <=> k6_algstr_0(A, B, C)=k6_algstr_0(A, C, B)) ) ) ) ) ) ) ).
fof(t37_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) )  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_group_5(A, B, C)=k1_group_1(A)) ) ) ) ) ) ) ).
fof(t38_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_group_2(D, A) =>  ( (r1_struct_0(D, B) & r1_struct_0(D, C))  => r1_struct_0(D, k2_group_5(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(d3_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_group_5(A, B, C, D)=k2_group_5(A, k2_group_5(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t39_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k3_group_5(A, B, C, k1_group_1(A))=k1_group_1(A) &  (k3_group_5(A, B, k1_group_1(A), C)=k1_group_1(A) & k3_group_5(A, k1_group_1(A), B, C)=k1_group_1(A)) ) ) ) ) ) ) ) ).
fof(t40_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_group_5(A, B, B, C)=k1_group_1(A)) ) ) ) ) ) ).
fof(t41_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_group_5(A, B, C, B)=k2_group_5(A, k2_group_3(A, B, C), B)) ) ) ) ) ) ).
fof(t42_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_group_5(A, C, B, B)=k2_group_3(A, k6_algstr_0(A, k2_group_5(A, C, k2_group_1(A, B)), k2_group_5(A, C, B)), B)) ) ) ) ) ) ).
fof(t43_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_group_5(A, B, C, k2_group_3(A, C, B))=k2_group_5(A, C, k2_group_5(A, C, B))) ) ) ) ) ) ).
fof(t44_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_group_5(A, k6_algstr_0(A, B, C), D)=k6_algstr_0(A, k6_algstr_0(A, k2_group_5(A, B, D), k3_group_5(A, B, D, C)), k2_group_5(A, C, D))) ) ) ) ) ) ) ) ).
fof(t45_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_group_5(A, B, k6_algstr_0(A, C, D))=k6_algstr_0(A, k6_algstr_0(A, k2_group_5(A, B, D), k2_group_5(A, B, C)), k3_group_5(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t46_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k6_algstr_0(A, k6_algstr_0(A, k2_group_3(A, k3_group_5(A, B, k2_group_1(A, C), D), C), k2_group_3(A, k3_group_5(A, C, k2_group_1(A, D), B), D)), k2_group_3(A, k3_group_5(A, D, k2_group_1(A, B), C), B))=k1_group_1(A)) ) ) ) ) ) ) ) ).
fof(t47_group_5, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (r2_tarski(A, k4_group_5(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (A=k2_group_5(B, E, F) &  (r2_tarski(E, C) & r2_tarski(F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (k4_group_5(A, k1_subset_1(u1_struct_0(A)), B)=k1_xboole_0 & k4_group_5(A, B, k1_subset_1(u1_struct_0(A)))=k1_xboole_0) ) ) ) ) ).
fof(t49_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_group_5(A, k6_domain_1(u1_struct_0(A), B), k6_domain_1(u1_struct_0(A), C))=k6_domain_1(u1_struct_0(A), k2_group_5(A, B, C))) ) ) ) ) ) ).
fof(t50_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r1_tarski(B, C) & r1_tarski(D, E))  => r1_tarski(k4_group_5(A, B, D), k4_group_5(A, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) )  <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( ~ (B=k1_xboole_0)  &  ( ~ (C=k1_xboole_0)  &  ~ (k4_group_5(A, B, C)=k6_domain_1(u1_struct_0(A), k1_group_1(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) => k5_group_5(A, B, C)=k4_group_5(A, k8_group_2(A, B), k8_group_2(A, C))) ) ) ) ) ) ).
fof(t52_group_5, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_group_2(C, B) =>  (! [D] :  (m1_group_2(D, B) =>  (r2_tarski(A, k5_group_5(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (A=k2_group_5(B, E, F) &  (r1_struct_0(C, E) & r1_struct_0(D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) => r2_tarski(k1_group_1(A), k5_group_5(A, B, C))) ) ) ) ) ) ).
fof(t54_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (k5_group_5(A, k6_group_2(A), B)=k6_domain_1(u1_struct_0(A), k1_group_1(A)) & k5_group_5(A, B, k6_group_2(A))=k6_domain_1(u1_struct_0(A), k1_group_1(A))) ) ) ) ) ).
fof(t55_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  ( (v15_algstr_0(C) &  (v1_group_3(C, A) & m1_group_2(C, A)) )  =>  (r1_tarski(k5_group_5(A, B, C), k8_group_2(A, C)) & r1_tarski(k5_group_5(A, C, B), k8_group_2(A, C))) ) ) ) ) ) ) ).
fof(t56_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_group_2(D, A) =>  (! [E] :  (m1_group_2(E, A) =>  ( (m1_group_2(B, C) & m1_group_2(D, E))  => r1_tarski(k5_group_5(A, B, D), k5_group_5(A, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) )  <=>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) => k5_group_5(A, B, C)=k6_domain_1(u1_struct_0(A), k1_group_1(A))) ) ) ) ) ) ) ).
fof(d6_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  => k6_group_5(A)=k5_group_5(A, k7_group_2(A), k7_group_2(A))) ) ).
fof(t58_group_5, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (r2_tarski(A, k6_group_5(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(B)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) & A=k2_group_5(B, C, D)) ) ) ) ) ) ) ) ).
fof(t59_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) )  <=> k6_group_5(A)=k6_domain_1(u1_struct_0(A), k1_group_1(A))) ) ) ).
fof(d7_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k7_group_5(A, B, C)=k5_group_4(A, k4_group_5(A, B, C))) ) ) ) ) ) ).
fof(t60_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r2_tarski(B, D) & r2_tarski(C, E))  => r1_struct_0(k7_group_5(A, D, E), k2_group_5(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_group_5, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (r1_struct_0(k7_group_5(B, C, D), A) <=>  (? [E] :  (m2_finseq_1(E, u1_struct_0(B)) &  (? [F] :  (m2_finseq_1(F, k4_numbers) &  (k3_finseq_1(E)=k3_finseq_1(F) &  (r1_tarski(k10_xtuple_0(E), k4_group_5(B, C, D)) & A=k3_group_4(B, k4_group_4(B, F, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r1_tarski(B, D) & r1_tarski(C, E))  => m1_group_2(k7_group_5(A, B, C), k7_group_5(A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) => k8_group_5(A, B, C)=k7_group_5(A, k8_group_2(A, B), k8_group_2(A, C))) ) ) ) ) ) ).
fof(t63_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) => r1_group_2(A, k8_group_5(A, B, C), k5_group_4(A, k5_group_5(A, B, C)))) ) ) ) ) ) ).
fof(t64_group_5, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_group_2(C, B) =>  (! [D] :  (m1_group_2(D, B) =>  (r1_struct_0(k8_group_5(B, C, D), A) <=>  (? [E] :  (m2_finseq_1(E, u1_struct_0(B)) &  (? [F] :  (m2_finseq_1(F, k4_numbers) &  (k3_finseq_1(E)=k3_finseq_1(F) &  (r1_tarski(k10_xtuple_0(E), k5_group_5(B, C, D)) & A=k3_group_4(B, k4_group_4(B, F, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_group_2(D, A) =>  (! [E] :  (m1_group_2(E, A) =>  ( (r1_struct_0(D, B) & r1_struct_0(E, C))  => r1_struct_0(k8_group_5(A, D, E), k2_group_5(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_group_2(D, A) =>  (! [E] :  (m1_group_2(E, A) =>  ( (m1_group_2(B, C) & m1_group_2(D, E))  => m1_group_2(k8_group_5(A, B, D), k8_group_5(A, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  ( (v15_algstr_0(C) &  (v1_group_3(C, A) & m1_group_2(C, A)) )  =>  (m1_group_2(k8_group_5(A, C, B), C) & m1_group_2(k8_group_5(A, B, C), C)) ) ) ) ) ) ) ).
fof(t68_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) &  (v1_group_3(B, A) & m1_group_2(B, A)) )  =>  (! [C] :  ( (v15_algstr_0(C) &  (v1_group_3(C, A) & m1_group_2(C, A)) )  =>  (v1_group_3(k8_group_5(A, B, C), A) & m1_group_2(k8_group_5(A, B, C), A)) ) ) ) ) ) ) ).
fof(t69_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_group_3(B, A) & m1_group_2(B, A))  =>  (! [C] :  ( (v1_group_3(C, A) & m1_group_2(C, A))  => r1_group_2(A, k8_group_5(A, B, C), k8_group_5(A, C, B))) ) ) ) ) ) ).
fof(t70_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) &  (v1_group_3(B, A) & m1_group_2(B, A)) )  =>  (! [C] :  ( (v15_algstr_0(C) &  (v1_group_3(C, A) & m1_group_2(C, A)) )  =>  (! [D] :  ( (v15_algstr_0(D) &  (v1_group_3(D, A) & m1_group_2(D, A)) )  => r1_group_2(A, k8_group_5(A, k8_group_4(A, B, C), D), k8_group_4(A, k8_group_5(A, B, D), k8_group_5(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t71_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) &  (v1_group_3(B, A) & m1_group_2(B, A)) )  =>  (! [C] :  ( (v15_algstr_0(C) &  (v1_group_3(C, A) & m1_group_2(C, A)) )  =>  (! [D] :  ( (v15_algstr_0(D) &  (v1_group_3(D, A) & m1_group_2(D, A)) )  => r1_group_2(A, k8_group_5(A, B, k8_group_4(A, C, D)), k8_group_4(A, k8_group_5(A, B, C), k8_group_5(A, B, D)))) ) ) ) ) ) ) ) ).
fof(d9_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  => k9_group_5(A)=k8_group_5(A, k7_group_2(A), k7_group_2(A))) ) ).
fof(t72_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  => r1_group_2(A, k9_group_5(A), k5_group_4(A, k6_group_5(A)))) ) ).
fof(t73_group_5, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (r1_struct_0(k9_group_5(B), A) <=>  (? [C] :  (m2_finseq_1(C, u1_struct_0(B)) &  (? [D] :  (m2_finseq_1(D, k4_numbers) &  (k3_finseq_1(C)=k3_finseq_1(D) &  (r1_tarski(k10_xtuple_0(C), k6_group_5(B)) & A=k3_group_4(B, k4_group_4(B, D, C))) ) ) ) ) ) ) ) ) ) ).
fof(t74_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_struct_0(k9_group_5(A), k2_group_5(A, B, C))) ) ) ) ) ) ).
fof(t75_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) )  <=> r1_group_2(A, k9_group_5(A), k6_group_2(A))) ) ) ).
fof(t76_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  ( (v1_finset_1(k15_group_2(A, B)) & k18_group_2(A, B)=2)  => m1_group_2(k9_group_5(A), B)) ) ) ) ) ).
fof(t77_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (r1_struct_0(k10_group_5(A), B) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k6_algstr_0(A, B, C)=k6_algstr_0(A, C, B)) ) ) ) ) ) ) ).
fof(t78_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (v1_group_3(k10_group_5(A), A) & m1_group_2(k10_group_5(A), A)) ) ) ).
fof(t79_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (m1_group_2(B, k10_group_5(A)) =>  (v1_group_3(B, A) & m1_group_2(B, A)) ) ) ) ) ) ).
fof(t80_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  => v5_group_1(k10_group_5(A))) ) ).
fof(t81_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (r1_struct_0(k10_group_5(A), B) <=> k7_group_3(A, B)=k6_domain_1(u1_struct_0(A), B)) ) ) ) ) ).
fof(t82_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) )  <=> k10_group_5(A)=A) ) ) ).
fof(dt_k1_group_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_finseq_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m2_finseq_1(k1_group_5(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k2_group_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k2_group_5(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k3_group_5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, u1_struct_0(A))) ) )  => m1_subset_1(k3_group_5(A, B, C, D), u1_struct_0(A))) ) ).
fof(dt_k4_group_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k4_group_5(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k5_group_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_group_2(B, A) & m1_group_2(C, A)) )  => m1_subset_1(k5_group_5(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k6_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  => m1_subset_1(k6_group_5(A), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k7_group_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (v15_algstr_0(k7_group_5(A, B, C)) & m1_group_2(k7_group_5(A, B, C), A)) ) ) ).
fof(dt_k8_group_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_group_2(B, A) & m1_group_2(C, A)) )  =>  (v15_algstr_0(k8_group_5(A, B, C)) & m1_group_2(k8_group_5(A, B, C), A)) ) ) ).
fof(dt_k9_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (v15_algstr_0(k9_group_5(A)) &  (v1_group_3(k9_group_5(A), A) & m1_group_2(k9_group_5(A), A)) ) ) ) ).
fof(dt_k10_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (v15_algstr_0(k10_group_5(A)) & m1_group_2(k10_group_5(A), A)) ) ) ).
fof(d4_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k4_group_5(A, B, C)=a_3_0_group_5(A, B, C)) ) ) ) ) ) ).
fof(d10_group_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  (B=k10_group_5(A) <=> u1_struct_0(B)=a_1_0_group_5(A)) ) ) ) ) ).
fof(fraenkel_a_3_0_group_5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  &  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (r2_hidden(A, a_3_0_group_5(B, C, D)) <=>  (? [E, F] :  ( (m1_subset_1(E, u1_struct_0(B)) & m1_subset_1(F, u1_struct_0(B)))  &  (A=k2_group_5(B, E, F) &  (r2_tarski(E, C) & r2_tarski(F, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_group_5, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (r2_hidden(A, a_1_0_group_5(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(B)) &  (A=C &  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k6_algstr_0(B, C, D)=k6_algstr_0(B, D, C)) ) ) ) ) ) ) ) ).
fof(fc1_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (v15_algstr_0(k6_group_2(A)) & v1_group_3(k6_group_2(A), A)) ) ) ).
fof(fc2_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (v15_algstr_0(k7_group_2(A)) & v1_group_3(k7_group_2(A), A)) ) ) ).
fof(fc3_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (v7_struct_0(k6_group_2(A)) & v15_algstr_0(k6_group_2(A))) ) ) ).
fof(rc1_group_6, axiom,  (? [A] :  (l3_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  (v7_struct_0(A) &  (v15_algstr_0(A) &  (v1_group_1(A) &  (v2_group_1(A) & v3_group_1(A)) ) ) ) ) ) ) ).
fof(fc4_group_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (v1_group_3(B, A) & m1_group_2(B, A)) )  =>  ~ (v1_xboole_0(k15_group_2(A, B))) ) ) ).
fof(fc5_group_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (v1_group_3(B, A) & m1_group_2(B, A)) )  =>  ( ~ (v2_struct_0(k5_group_6(A, B)))  & v15_algstr_0(k5_group_6(A, B))) ) ) ).
fof(fc6_group_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (v1_group_3(B, A) & m1_group_2(B, A)) )  =>  (v2_group_1(k5_group_6(A, B)) & v3_group_1(k5_group_6(A, B))) ) ) ).
fof(rc2_group_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  &  ( ~ (v2_struct_0(B))  &  (v1_group_1(B) & l3_algstr_0(B)) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v1_partfun1(C, u1_struct_0(A)) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v1_group_6(C, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_group_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) =>  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v1_group_6(C, A, B)) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v6_group_1(C, A, B) & v1_group_6(C, A, B)) ) ) ) ) ) ) ) ).
fof(fc7_group_6, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v1_group_1(B) & l3_algstr_0(B)) )  &  ( ( ~ (v2_struct_0(C))  &  (v1_group_1(C) & l3_algstr_0(C)) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  &  (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) &  (v1_group_6(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) ) ) )  =>  (v1_funct_1(k3_relat_1(D, E)) &  (v1_funct_2(k3_relat_1(D, E), u1_struct_0(A), u1_struct_0(C)) & v1_group_6(k3_relat_1(D, E), A, C)) ) ) ) ).
fof(fc8_group_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  &  ( ~ (v2_struct_0(B))  &  (v1_group_1(B) & l3_algstr_0(B)) ) )  =>  (v1_funct_1(k7_group_6(A, B)) &  (v1_funct_2(k7_group_6(A, B), u1_struct_0(A), u1_struct_0(B)) & v1_group_6(k7_group_6(A, B), A, B)) ) ) ) ).
fof(fc9_group_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (v1_group_3(B, A) & m1_group_2(B, A)) )  =>  (v1_funct_1(k8_group_6(A, B)) &  (v1_funct_2(k8_group_6(A, B), u1_struct_0(A), u1_struct_0(k5_group_6(A, B))) & v1_group_6(k8_group_6(A, B), A, k5_group_6(A, B))) ) ) ) ).
fof(fc10_group_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (v15_algstr_0(k9_group_6(A, B, C)) & v1_group_3(k9_group_6(A, B, C), A)) ) ) ).
fof(fc11_group_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (v8_struct_0(k10_group_6(A, B, C)) & v15_algstr_0(k10_group_6(A, B, C))) ) ) ).
fof(t1_group_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v2_funct_1(C) <=>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (k3_funct_2(A, B, C, D)=k3_funct_2(A, B, C, E) => D=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_group_6(D, A, B) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (E=C =>  (k13_group_2(B, D, E)=k13_group_2(A, D, C) & k14_group_2(B, D, E)=k14_group_2(A, D, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_6(C, A, B) =>  (! [D] :  (m1_group_6(D, A, B) => k10_group_2(A, C, D)=k10_group_2(B, C, D)) ) ) ) ) ) ) ) ).
fof(t4_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k6_algstr_0(A, k6_algstr_0(A, B, C), k2_group_1(A, B))=k2_group_3(A, C, k2_group_1(A, B)) & k6_algstr_0(A, B, k6_algstr_0(A, C, k2_group_1(A, B)))=k2_group_3(A, C, k2_group_1(A, B))) ) ) ) ) ) ) ).
fof(t5_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k11_group_2(A, B, k13_group_2(A, B, C))=k13_group_2(A, B, C) &  (k4_group_2(A, C, k7_group_4(A, B, B))=k13_group_2(A, B, C) &  (k5_group_2(A, C, k7_group_4(A, B, B))=k14_group_2(A, B, C) & k12_group_2(A, B, k14_group_2(A, B, C))=k14_group_2(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t7_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  (m1_group_6(k9_group_5(A), A, B) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_struct_0(B, k2_group_5(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t8_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  ( (v1_group_3(C, A) & m1_group_2(C, A))  =>  (m1_group_6(C, A, B) =>  (v1_group_3(C, B) & m1_group_6(C, A, B)) ) ) ) ) ) ) ) ).
fof(d1_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  ( (v1_group_3(C, A) & m1_group_2(C, A))  =>  (m1_group_6(g3_algstr_0(u1_struct_0(C), u2_algstr_0(C)), A, B) => k1_group_6(A, B, C)=g3_algstr_0(u1_struct_0(C), u2_algstr_0(C))) ) ) ) ) ) ) ).
fof(t9_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  ( (v1_group_3(C, A) & m1_group_2(C, A))  =>  ( (v1_group_3(k10_group_2(A, B, C), B) & m1_group_6(k10_group_2(A, B, C), A, B))  &  (v1_group_3(k10_group_2(A, C, B), B) & m1_group_6(k10_group_2(A, C, B), A, B)) ) ) ) ) ) ) ) ).
fof(d2_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (v7_struct_0(A) <=>  (? [B] : u1_struct_0(A)=k1_tarski(B)) ) ) ) ).
fof(t10_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  => v7_struct_0(k6_group_2(A))) ) ).
fof(t11_group_6, axiom,  ( (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (k7_group_1(A)=1 & v8_struct_0(A)) ) )  &  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (k7_group_1(A)=1 => v7_struct_0(A)) ) ) ) ).
fof(t12_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_struct_0(A) &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) ) )  => k6_group_2(A)=A) ) ).
fof(t13_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (! [C] :  ( (v1_group_3(C, A) & m1_group_2(C, A))  =>  ~ ( (r2_hidden(B, k15_group_2(A, C)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (B=k13_group_2(A, C, D) & B=k14_group_2(A, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_group_3(C, A) & m1_group_2(C, A))  =>  (r2_tarski(k13_group_2(A, C, B), k15_group_2(A, C)) & r2_tarski(k14_group_2(A, C, B), k15_group_2(A, C))) ) ) ) ) ) ) ).
fof(t15_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (! [C] :  ( (v1_group_3(C, A) & m1_group_2(C, A))  =>  (r2_tarski(B, k15_group_2(A, C)) => m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ).
fof(t16_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  ( (v1_group_3(D, A) & m1_group_2(D, A))  =>  ( (r2_tarski(B, k15_group_2(A, D)) & r2_tarski(C, k15_group_2(A, D)))  => r2_tarski(k2_group_2(A, B, C), k15_group_2(A, D))) ) ) ) ) ) ) ) ) ).
fof(d3_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_group_3(B, A) & m1_group_2(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k15_group_2(A, B), k15_group_2(A, B)), k15_group_2(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k15_group_2(A, B), k15_group_2(A, B)), k15_group_2(A, B))))) )  =>  (C=k4_group_6(A, B) <=>  (! [D] :  (m1_subset_1(D, k15_group_2(A, B)) =>  (! [E] :  (m1_subset_1(E, k15_group_2(A, B)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(A))) =>  ( (D=F & E=G)  => k4_binop_1(k15_group_2(A, B), C, D, E)=k2_group_2(A, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_group_3(B, A) & m1_group_2(B, A))  => k5_group_6(A, B)=g3_algstr_0(k15_group_2(A, B), k4_group_6(A, B))) ) ) ) ).
fof(t17_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_group_3(B, A) & m1_group_2(B, A))  => u1_struct_0(k5_group_6(A, B))=k15_group_2(A, B)) ) ) ) ).
fof(t18_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_group_3(B, A) & m1_group_2(B, A))  => r1_funct_2(k2_zfmisc_1(u1_struct_0(k5_group_6(A, B)), u1_struct_0(k5_group_6(A, B))), u1_struct_0(k5_group_6(A, B)), k2_zfmisc_1(k15_group_2(A, B), k15_group_2(A, B)), k15_group_2(A, B), u2_algstr_0(k5_group_6(A, B)), k4_group_6(A, B))) ) ) ) ).
fof(d5_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_group_3(B, A) & m1_group_2(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_group_6(A, B))) => k6_group_6(A, B, C)=C) ) ) ) ) ) ).
fof(t19_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_group_3(B, A) & m1_group_2(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_group_6(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_group_6(A, B))) => k2_group_2(A, k6_group_6(A, B, C), k6_group_6(A, B, D))=k6_algstr_0(k5_group_6(A, B), C, D)) ) ) ) ) ) ) ) ).
fof(t20_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_group_3(B, A) & m1_group_2(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_group_6(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_group_6(A, B))) => k6_group_6(A, B, k6_algstr_0(k5_group_6(A, B), C, D))=k2_group_2(A, k6_group_6(A, B, C), k6_group_6(A, B, D))) ) ) ) ) ) ) ) ).
fof(t21_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_group_3(B, A) & m1_group_2(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_group_6(A, B))) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (C=k13_group_2(A, B, D) & C=k14_group_2(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t22_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_group_3(C, A) & m1_group_2(C, A))  =>  (m1_subset_1(k14_group_2(A, C, B), u1_struct_0(k5_group_6(A, C))) &  (m1_subset_1(k13_group_2(A, C, B), u1_struct_0(k5_group_6(A, C))) & m1_subset_1(k8_group_2(A, C), u1_struct_0(k5_group_6(A, C)))) ) ) ) ) ) ) ) ).
fof(t23_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (! [C] :  ( (v1_group_3(C, A) & m1_group_2(C, A))  =>  (r1_struct_0(k5_group_6(A, C), B) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (B=k13_group_2(A, C, D) & B=k14_group_2(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t24_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_group_3(B, A) & m1_group_2(B, A))  => k1_group_1(k5_group_6(A, B))=k8_group_2(A, B)) ) ) ) ).
fof(t25_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_group_3(C, A) & m1_group_2(C, A))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_group_6(A, C))) =>  (D=k13_group_2(A, C, B) => k2_group_1(k5_group_6(A, C), D)=k13_group_2(A, C, k2_group_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(t26_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_group_3(B, A) & m1_group_2(B, A))  => k7_struct_0(k5_group_6(A, B))=k17_group_2(A, B)) ) ) ) ).
fof(t27_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_group_3(B, A) & m1_group_2(B, A))  =>  (v1_finset_1(k15_group_2(A, B)) => k7_struct_0(k5_group_6(A, B))=k18_group_2(A, B)) ) ) ) ) ).
fof(t28_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  ( (v15_algstr_0(C) &  (v1_group_3(C, A) & m1_group_2(C, A)) )  =>  (m1_group_6(C, A, B) => m1_group_2(k5_group_6(B, k1_group_6(A, B, C)), k5_group_6(A, C))) ) ) ) ) ) ) ).
fof(t29_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) &  (v1_group_3(B, A) & m1_group_2(B, A)) )  =>  (! [C] :  ( (v15_algstr_0(C) &  (v1_group_3(C, A) & m1_group_2(C, A)) )  =>  (m1_group_6(C, A, B) =>  (v1_group_3(k5_group_6(B, k1_group_6(A, B, C)), k5_group_6(A, C)) & m1_group_2(k5_group_6(B, k1_group_6(A, B, C)), k5_group_6(A, C))) ) ) ) ) ) ) ) ).
fof(t30_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v15_algstr_0(B) &  (v1_group_3(B, A) & m1_group_2(B, A)) )  =>  ( ( ~ (v2_struct_0(k5_group_6(A, B)))  &  (v2_group_1(k5_group_6(A, B)) &  (v3_group_1(k5_group_6(A, B)) &  (v5_group_1(k5_group_6(A, B)) & l3_algstr_0(k5_group_6(A, B))) ) ) )  <=> m1_group_6(k9_group_5(A), A, B)) ) ) ) ) ).
fof(d6_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v1_group_6(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k6_algstr_0(A, D, E))=k6_algstr_0(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D), k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  => k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k1_group_1(A))=k1_group_1(B)) ) ) ) ) ) ).
fof(t32_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  => k3_funct_2(u1_struct_0(A), u1_struct_0(B), D, k2_group_1(A, C))=k2_group_1(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), D, C))) ) ) ) ) ) ) ) ).
fof(t33_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  => k3_funct_2(u1_struct_0(A), u1_struct_0(B), E, k2_group_3(A, C, D))=k2_group_3(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), E, C), k3_funct_2(u1_struct_0(A), u1_struct_0(B), E, D))) ) ) ) ) ) ) ) ) ) ).
fof(t34_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  => k3_funct_2(u1_struct_0(A), u1_struct_0(B), E, k2_group_5(A, C, D))=k2_group_5(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), E, C), k3_funct_2(u1_struct_0(A), u1_struct_0(B), E, D))) ) ) ) ) ) ) ) ) ) ).
fof(t35_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(F, A, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  => k3_funct_2(u1_struct_0(A), u1_struct_0(B), F, k3_group_5(A, C, D, E))=k3_group_5(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), F, C), k3_funct_2(u1_struct_0(A), u1_struct_0(B), F, D), k3_funct_2(u1_struct_0(A), u1_struct_0(B), F, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_group_6, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) & l3_algstr_0(C)) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) &  (v1_group_6(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) )  => k3_funct_2(u1_struct_0(B), u1_struct_0(C), E, k5_group_1(B, D, A))=k5_group_1(C, k3_funct_2(u1_struct_0(B), u1_struct_0(C), E, D), A)) ) ) ) ) ) ) ) ) ) ).
fof(t37_group_6, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) & l3_algstr_0(C)) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) &  (v1_group_6(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) )  => k3_funct_2(u1_struct_0(B), u1_struct_0(C), E, k5_group_1(B, D, A))=k5_group_1(C, k3_funct_2(u1_struct_0(B), u1_struct_0(C), E, D), A)) ) ) ) ) ) ) ) ) ) ).
fof(t38_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  => v1_group_6(k6_partfun1(u1_struct_0(A)), A, A)) ) ).
fof(t39_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_group_1(B) & l3_algstr_0(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v1_group_1(C) & l3_algstr_0(C)) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) &  (v1_group_6(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) )  => v1_group_6(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), A, C)) ) ) ) ) ) ) ) ) ) ).
fof(d7_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  => k7_group_6(A, B)=k6_struct_0(A, B, k1_group_1(B))) ) ) ) ).
fof(t40_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) & l3_algstr_0(C)) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) &  (v1_group_6(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) )  =>  (r2_funct_2(u1_struct_0(A), u1_struct_0(C), k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), k7_group_6(A, B), E), k7_group_6(A, C)) & r2_funct_2(u1_struct_0(A), u1_struct_0(C), k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, k7_group_6(B, C)), k7_group_6(A, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_group_3(B, A) & m1_group_2(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k5_group_6(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k5_group_6(A, B)))))) )  =>  (C=k8_group_6(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(k5_group_6(A, B)), C, D)=k13_group_2(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t41_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (r1_struct_0(k9_group_6(A, B, D), C) <=> k3_funct_2(u1_struct_0(A), u1_struct_0(B), D, C)=k1_group_1(B)) ) ) ) ) ) ) ) ) ).
fof(t42_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v15_algstr_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  => k9_group_6(A, B, k7_group_6(A, B))=A) ) ) ) ).
fof(t43_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) &  (v1_group_3(B, A) & m1_group_2(B, A)) )  => r1_group_2(A, k9_group_6(A, k5_group_6(A, B), k8_group_6(A, B)), B)) ) ) ) ).
fof(d10_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v15_algstr_0(D) & m1_group_2(D, B))  =>  (D=k10_group_6(A, B, C) <=> u1_struct_0(D)=k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, u1_struct_0(A))) ) ) ) ) ) ) ) ) ).
fof(t44_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  => k2_relset_1(u1_struct_0(B), C)=u1_struct_0(k10_group_6(A, B, C))) ) ) ) ) ) ).
fof(t45_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (! [D] :  (r1_struct_0(k10_group_6(A, B, C), D) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) & D=k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, E)) ) ) ) ) ) ) ) ) ) ).
fof(t46_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  => r1_group_2(B, k10_group_6(A, B, C), k5_group_4(B, k2_relset_1(u1_struct_0(B), C)))) ) ) ) ) ) ).
fof(t47_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  => r1_group_2(B, k10_group_6(A, B, k7_group_6(A, B)), k6_group_2(B))) ) ) ) ).
fof(t48_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_group_3(B, A) & m1_group_2(B, A))  => k10_group_6(A, k5_group_6(A, B), k8_group_6(A, B))=k5_group_6(A, B)) ) ) ) ).
fof(t49_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k10_group_6(A, B, C))) &  (v1_group_6(C, A, k10_group_6(A, B, C)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k10_group_6(A, B, C)))))) ) ) ) ) ) ) ) ) ).
fof(t50_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (v8_struct_0(A) => v8_struct_0(k10_group_6(A, B, C))) ) ) ) ) ) ) ).
fof(t51_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) )  => v5_group_1(k10_group_6(A, B, C))) ) ) ) ) ) ) ).
fof(t52_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  => r1_tarski(k7_struct_0(k10_group_6(A, B, C)), k7_struct_0(A))) ) ) ) ) ) ).
fof(t53_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  => r1_xxreal_0(k7_group_1(k10_group_6(A, B, C)), k7_group_1(A))) ) ) ) ) ) ).
fof(t54_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  ( (v2_funct_1(D) & r1_struct_0(k10_group_6(A, B, D), C))  => k1_funct_1(D, k1_funct_1(k2_funct_1(D), C))=C) ) ) ) ) ) ) ) ) ).
fof(t55_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (v2_funct_1(C) =>  (v1_funct_1(k2_funct_1(C)) &  (v1_funct_2(k2_funct_1(C), u1_struct_0(k10_group_6(A, B, C)), u1_struct_0(A)) &  (v1_group_6(k2_funct_1(C), k10_group_6(A, B, C), A) & m1_subset_1(k2_funct_1(C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_group_6(A, B, C)), u1_struct_0(A))))) ) ) ) ) ) ) ) ) ) ).
fof(t56_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (v2_funct_1(C) <=> r1_group_2(A, k9_group_6(A, B, C), k6_group_2(A))) ) ) ) ) ) ) ).
fof(t57_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v15_algstr_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (v2_funct_2(C, u1_struct_0(B)) <=> k10_group_6(A, B, C)=B) ) ) ) ) ) ) ).
fof(t58_group_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v2_funct_2(C, B) =>  (! [D] :  (m1_subset_1(D, B) =>  (? [E] :  (m1_subset_1(E, A) & k3_funct_2(A, B, C, E)=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_group_3(B, A) & m1_group_2(B, A))  => v2_funct_2(k8_group_6(A, B), u1_struct_0(k5_group_6(A, B)))) ) ) ) ).
fof(t60_group_6, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v3_funct_2(C, A, B) <=>  (k2_relset_1(B, C)=B & v2_funct_1(C)) ) ) ) ) ) ).
fof(t61_group_6, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v3_funct_2(C, A, B) =>  (k1_relset_1(A, C)=A & k2_relset_1(B, C)=B) ) ) ) ) ) ) ).
fof(t62_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (v3_funct_2(C, u1_struct_0(A), u1_struct_0(B)) =>  (v1_funct_1(k2_funct_1(C)) &  (v1_funct_2(k2_funct_1(C), u1_struct_0(B), u1_struct_0(A)) &  (v1_group_6(k2_funct_1(C), B, A) & m1_subset_1(k2_funct_1(C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) ) ) ) ) ) ) ) ) ).
fof(t63_group_6, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  ( (v3_funct_2(C, A, B) & D=k2_funct_1(C))  => v3_funct_2(D, B, A)) ) ) ) ) ) ) ) ).
fof(t64_group_6, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  ( (v3_funct_2(D, A, B) & v3_funct_2(E, B, C))  => v3_funct_2(k1_partfun1(A, B, B, C, D, E), A, C)) ) ) ) ) ) ) ) ) ) ).
fof(t65_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  => v3_funct_2(k8_group_6(A, k6_group_2(A)), u1_struct_0(A), u1_struct_0(k5_group_6(A, k6_group_2(A))))) ) ).
fof(d11_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (r1_group_6(A, B) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  & v3_funct_2(C, u1_struct_0(A), u1_struct_0(B))) ) ) ) ) ) ) ).
fof(t66_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (r1_group_6(A, B) => r1_group_6(B, A)) ) ) ) ) ).
fof(t67_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) & l3_algstr_0(C)) ) )  =>  ( (r2_group_6(A, B) & r2_group_6(B, C))  => r2_group_6(A, C)) ) ) ) ) ) ) ).
fof(t68_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (v2_funct_1(C) => r2_group_6(A, k10_group_6(A, B, C))) ) ) ) ) ) ) ).
fof(t69_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v15_algstr_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  ( (v7_struct_0(A) & v7_struct_0(B))  => r2_group_6(A, B)) ) ) ) ) ).
fof(t70_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  => r2_group_6(k6_group_2(A), k6_group_2(B))) ) ) ) ).
fof(t71_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  => r2_group_6(A, k5_group_6(A, k6_group_2(A)))) ) ).
fof(t72_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  => v7_struct_0(k5_group_6(A, k7_group_2(A)))) ) ).
fof(t73_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v15_algstr_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (r2_group_6(A, B) => k7_struct_0(A)=k7_struct_0(B)) ) ) ) ) ).
fof(t74_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  ( (r2_group_6(A, B) & v8_struct_0(A))  => v8_struct_0(B)) ) ) ) ) ).
fof(t75_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v15_algstr_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (r2_group_6(A, B) => k7_struct_0(A)=k7_struct_0(B)) ) ) ) ) ).
fof(t76_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_struct_0(A) &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v15_algstr_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (r2_group_6(A, B) => v7_struct_0(B)) ) ) ) ) ).
fof(t77_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  ( (r2_group_6(A, B) & v5_group_1(A))  => v5_group_1(B)) ) ) ) ) ).
fof(t78_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  => r2_group_6(k5_group_6(A, k9_group_6(A, B, C)), k10_group_6(A, B, C))) ) ) ) ) ) ).
fof(t79_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k5_group_6(A, k9_group_6(A, B, C))), u1_struct_0(k10_group_6(A, B, C))) &  (v1_group_6(D, k5_group_6(A, k9_group_6(A, B, C)), k10_group_6(A, B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_group_6(A, k9_group_6(A, B, C))), u1_struct_0(k10_group_6(A, B, C)))))) ) )  &  (v3_funct_2(D, u1_struct_0(k5_group_6(A, k9_group_6(A, B, C))), u1_struct_0(k10_group_6(A, B, C))) & r1_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(A), u1_struct_0(k10_group_6(A, B, C)), C, k1_partfun1(u1_struct_0(A), u1_struct_0(k5_group_6(A, k9_group_6(A, B, C))), u1_struct_0(k5_group_6(A, k9_group_6(A, B, C))), u1_struct_0(k10_group_6(A, B, C)), k8_group_6(A, k9_group_6(A, B, C)), D))) ) ) ) ) ) ) ) ) ).
fof(t80_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_group_3(B, A) & m1_group_2(B, A))  =>  (! [C] :  ( (v15_algstr_0(C) &  (v1_group_3(C, A) & m1_group_2(C, A)) )  =>  (! [D] :  ( (v15_algstr_0(D) &  (v1_group_3(D, k5_group_6(A, C)) & m1_group_2(D, k5_group_6(A, C))) )  =>  ( (D=k5_group_6(B, k1_group_6(A, B, C)) & m1_group_6(C, A, B))  => r2_group_6(k5_group_6(k5_group_6(A, C), D), k5_group_6(A, B))) ) ) ) ) ) ) ) ) ).
fof(t81_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  ( (v15_algstr_0(C) &  (v1_group_3(C, A) & m1_group_2(C, A)) )  => r2_group_6(k5_group_6(k8_group_4(A, B, C), k1_group_6(A, k8_group_4(A, B, C), C)), k5_group_6(B, k2_group_6(A, B, C)))) ) ) ) ) ) ).
fof(dt_m1_group_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  & m1_group_2(B, A))  =>  (! [C] :  (m1_group_6(C, A, B) => m1_group_2(C, A)) ) ) ) ).
fof(existence_m1_group_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  & m1_group_2(B, A))  =>  (? [C] : m1_group_6(C, A, B)) ) ) ).
fof(redefinition_m1_group_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  & m1_group_2(B, A))  =>  (! [C] :  (m1_group_6(C, A, B) <=> m1_group_2(C, B)) ) ) ) ).
fof(dt_k1_group_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_group_2(B, A) &  (v1_group_3(C, A) & m1_group_2(C, A)) ) )  =>  (v15_algstr_0(k1_group_6(A, B, C)) &  (v1_group_3(k1_group_6(A, B, C), B) & m1_group_6(k1_group_6(A, B, C), A, B)) ) ) ) ).
fof(dt_k2_group_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_group_2(B, A) &  (v1_group_3(C, A) & m1_group_2(C, A)) ) )  =>  (v15_algstr_0(k2_group_6(A, B, C)) &  (v1_group_3(k2_group_6(A, B, C), B) & m1_group_6(k2_group_6(A, B, C), A, B)) ) ) ) ).
fof(redefinition_k2_group_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (m1_group_2(B, A) &  (v1_group_3(C, A) & m1_group_2(C, A)) ) )  => k2_group_6(A, B, C)=k9_group_2(A, B, C)) ) ).
fof(dt_k3_group_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  ( (v1_group_3(B, A) & m1_group_2(B, A))  & m1_group_2(C, A)) )  =>  (v15_algstr_0(k3_group_6(A, B, C)) &  (v1_group_3(k3_group_6(A, B, C), C) & m1_group_6(k3_group_6(A, B, C), A, C)) ) ) ) ).
fof(redefinition_k3_group_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  ( (v1_group_3(B, A) & m1_group_2(B, A))  & m1_group_2(C, A)) )  => k3_group_6(A, B, C)=k9_group_2(A, B, C)) ) ).
fof(dt_k4_group_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (v1_group_3(B, A) & m1_group_2(B, A)) )  =>  (v1_funct_1(k4_group_6(A, B)) &  (v1_funct_2(k4_group_6(A, B), k2_zfmisc_1(k15_group_2(A, B), k15_group_2(A, B)), k15_group_2(A, B)) & m1_subset_1(k4_group_6(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k15_group_2(A, B), k15_group_2(A, B)), k15_group_2(A, B))))) ) ) ) ).
fof(dt_k5_group_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (v1_group_3(B, A) & m1_group_2(B, A)) )  => l3_algstr_0(k5_group_6(A, B))) ) ).
fof(dt_k6_group_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  ( (v1_group_3(B, A) & m1_group_2(B, A))  & m1_subset_1(C, u1_struct_0(k5_group_6(A, B)))) )  => m1_subset_1(k6_group_6(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k7_group_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  ( ~ (v2_struct_0(B))  & l3_algstr_0(B)) )  =>  (v1_funct_1(k7_group_6(A, B)) &  (v1_funct_2(k7_group_6(A, B), u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(k7_group_6(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ).
fof(dt_k8_group_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  (v1_group_3(B, A) & m1_group_2(B, A)) )  =>  (v1_funct_1(k8_group_6(A, B)) &  (v1_funct_2(k8_group_6(A, B), u1_struct_0(A), u1_struct_0(k5_group_6(A, B))) & m1_subset_1(k8_group_6(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k5_group_6(A, B)))))) ) ) ) ).
fof(dt_k9_group_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (v15_algstr_0(k9_group_6(A, B, C)) & m1_group_2(k9_group_6(A, B, C), A)) ) ) ).
fof(dt_k10_group_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (v15_algstr_0(k10_group_6(A, B, C)) & m1_group_2(k10_group_6(A, B, C), B)) ) ) ).
fof(reflexivity_r1_group_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  => r1_group_6(A, A)) ) ).
fof(symmetry_r2_group_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (r2_group_6(A, B) => r2_group_6(B, A)) ) ) ).
fof(reflexivity_r2_group_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  => r2_group_6(A, A)) ) ).
fof(redefinition_r2_group_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (r2_group_6(A, B) <=> r1_group_6(A, B)) ) ) ).
fof(t6_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (B=a_1_0_group_6(A) => r1_group_2(A, k9_group_5(A), k5_group_4(A, B))) ) ) ) ) ).
fof(d9_group_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v15_algstr_0(D) & m1_group_2(D, A))  =>  (D=k9_group_6(A, B, C) <=> u1_struct_0(D)=a_3_0_group_6(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_group_6, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (r2_hidden(A, a_1_0_group_6(B)) <=>  (? [C, D] :  ( (m1_subset_1(C, u1_struct_0(B)) & m1_subset_1(D, u1_struct_0(B)))  & A=k2_group_5(B, C, D)) ) ) ) ) ).
fof(fraenkel_a_3_0_group_6, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) & l3_algstr_0(C)) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v1_group_6(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) )  =>  (r2_hidden(A, a_3_0_group_6(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E & k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, E)=k1_group_1(C)) ) ) ) ) ) ).
fof(cc1_group_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_group_7(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_pralg_1(A)) ) ) ) ).
fof(rc1_group_7, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_group_7(B)) ) ) ) ) ) ).
fof(rc2_group_7, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v1_group_7(A)) ) ) ).
fof(fc1_group_7, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_group_7(B)) ) ) )  =>  (v1_relat_1(k12_pralg_1(A, B)) &  (v2_relat_1(k12_pralg_1(A, B)) &  (v4_relat_1(k12_pralg_1(A, B), A) &  (v1_funct_1(k12_pralg_1(A, B)) & v1_partfun1(k12_pralg_1(A, B), A)) ) ) ) ) ) ).
fof(fc2_group_7, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_group_7(B)) ) ) )  =>  ( ~ (v2_struct_0(k2_group_7(A, B)))  &  (v15_algstr_0(k2_group_7(A, B)) & v1_monoid_0(k2_group_7(A, B))) ) ) ) ).
fof(rc3_group_7, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v2_pralg_1(B) &  (v1_group_7(B) &  (v2_group_7(B, A) &  (v3_group_7(B, A) & v4_group_7(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(fc3_group_7, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) & v2_group_7(B, A)) ) ) ) )  =>  (v15_algstr_0(k2_group_7(A, B)) & v2_group_1(k2_group_7(A, B))) ) ) ).
fof(fc4_group_7, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) & v3_group_7(B, A)) ) ) ) )  =>  (v15_algstr_0(k2_group_7(A, B)) & v3_group_1(k2_group_7(A, B))) ) ) ).
fof(fc5_group_7, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) & v4_group_7(B, A)) ) ) ) )  =>  (v15_algstr_0(k2_group_7(A, B)) & v5_group_1(k2_group_7(A, B))) ) ) ).
fof(fc6_group_7, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(k3_group_7(A, B))) & m1_subset_1(D, u1_struct_0(k3_group_7(A, B)))) )  =>  (v1_relat_1(k1_binop_1(u2_algstr_0(k3_group_7(A, B)), C, D)) & v1_funct_1(k1_binop_1(u2_algstr_0(k3_group_7(A, B)), C, D))) ) ) ).
fof(fc7_group_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  => v4_relat_1(k5_finseq_1(A), k1_tarski(1))) ) ).
fof(fc8_group_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (v1_partfun1(k5_finseq_1(A), k1_tarski(1)) & v1_group_7(k5_finseq_1(A))) ) ) ).
fof(fc9_group_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) & l3_algstr_0(A)) )  => v2_group_7(k5_finseq_1(A), k1_tarski(1))) ) ).
fof(fc10_group_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_group_1(A) & l3_algstr_0(A)) )  => v3_group_7(k5_finseq_1(A), k1_tarski(1))) ) ).
fof(fc11_group_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_group_1(A) & l3_algstr_0(A)) )  => v4_group_7(k5_finseq_1(A), k1_tarski(1))) ) ).
fof(cc2_group_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k4_card_3(k12_pralg_1(k1_tarski(1), k9_finseq_1(A)))) => v1_finseq_1(B)) ) ) ) ).
fof(cc3_group_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_group_7(k1_tarski(1), k9_finseq_1(A)))) => v1_finseq_1(B)) ) ) ) ).
fof(fc12_group_7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  ( ~ (v2_struct_0(B))  & l3_algstr_0(B)) )  => v4_relat_1(k10_finseq_1(A, B), k2_tarski(1, 2))) ) ).
fof(fc13_group_7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  ( ~ (v2_struct_0(B))  & l3_algstr_0(B)) )  =>  (v1_partfun1(k10_finseq_1(A, B), k2_tarski(1, 2)) & v1_group_7(k10_finseq_1(A, B))) ) ) ).
fof(fc14_group_7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) & l3_algstr_0(A)) )  &  ( ~ (v2_struct_0(B))  &  (v2_group_1(B) & l3_algstr_0(B)) ) )  => v2_group_7(k10_finseq_1(A, B), k2_tarski(1, 2))) ) ).
fof(fc15_group_7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_group_1(A) & l3_algstr_0(A)) )  &  ( ~ (v2_struct_0(B))  &  (v3_group_1(B) & l3_algstr_0(B)) ) )  => v3_group_7(k10_finseq_1(A, B), k2_tarski(1, 2))) ) ).
fof(fc16_group_7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v5_group_1(A) & l3_algstr_0(A)) )  &  ( ~ (v2_struct_0(B))  &  (v5_group_1(B) & l3_algstr_0(B)) ) )  => v4_group_7(k10_finseq_1(A, B), k2_tarski(1, 2))) ) ).
fof(cc4_group_7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  ( ~ (v2_struct_0(B))  & l3_algstr_0(B)) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(k12_pralg_1(k2_tarski(1, 2), k10_finseq_1(A, B)))) => v1_finseq_1(C)) ) ) ) ).
fof(cc5_group_7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  ( ~ (v2_struct_0(B))  & l3_algstr_0(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_group_7(k2_tarski(1, 2), k10_finseq_1(A, B)))) => v1_finseq_1(C)) ) ) ) ).
fof(fc17_group_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  &  ( ~ (v2_struct_0(C))  & l3_algstr_0(C)) ) )  => v4_relat_1(k11_finseq_1(A, B, C), k1_enumset1(1, 2, 3))) ) ).
fof(fc18_group_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  &  ( ~ (v2_struct_0(C))  & l3_algstr_0(C)) ) )  =>  (v1_partfun1(k11_finseq_1(A, B, C), k1_enumset1(1, 2, 3)) & v1_group_7(k11_finseq_1(A, B, C))) ) ) ).
fof(fc19_group_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) & l3_algstr_0(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) & l3_algstr_0(B)) )  &  ( ~ (v2_struct_0(C))  &  (v2_group_1(C) & l3_algstr_0(C)) ) ) )  => v2_group_7(k11_finseq_1(A, B, C), k1_enumset1(1, 2, 3))) ) ).
fof(fc20_group_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_group_1(A) & l3_algstr_0(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v3_group_1(B) & l3_algstr_0(B)) )  &  ( ~ (v2_struct_0(C))  &  (v3_group_1(C) & l3_algstr_0(C)) ) ) )  => v3_group_7(k11_finseq_1(A, B, C), k1_enumset1(1, 2, 3))) ) ).
fof(fc21_group_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v5_group_1(A) & l3_algstr_0(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v5_group_1(B) & l3_algstr_0(B)) )  &  ( ~ (v2_struct_0(C))  &  (v5_group_1(C) & l3_algstr_0(C)) ) ) )  => v4_group_7(k11_finseq_1(A, B, C), k1_enumset1(1, 2, 3))) ) ).
fof(cc6_group_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  &  ( ~ (v2_struct_0(C))  & l3_algstr_0(C)) ) )  =>  (! [D] :  (m1_subset_1(D, k4_card_3(k12_pralg_1(k1_enumset1(1, 2, 3), k11_finseq_1(A, B, C)))) => v1_finseq_1(D)) ) ) ) ).
fof(cc7_group_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  &  ( ~ (v2_struct_0(C))  & l3_algstr_0(C)) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_group_7(k1_enumset1(1, 2, 3), k11_finseq_1(A, B, C)))) => v1_finseq_1(D)) ) ) ) ).
fof(d1_group_7, axiom,  (! [A] :  (v1_relat_1(A) =>  (v1_group_7(A) <=>  (! [B] :  (r2_tarski(B, k10_xtuple_0(A)) =>  ( ~ (v2_struct_0(B))  & l3_algstr_0(B)) ) ) ) ) ) ).
fof(d2_group_7, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_group_7(B)) ) ) )  =>  (! [C] :  ( (v15_algstr_0(C) & l3_algstr_0(C))  =>  (C=k2_group_7(A, B) <=>  (u1_struct_0(C)=k4_card_3(k12_pralg_1(A, B)) &  (! [D] :  (m1_subset_1(D, k4_card_3(k12_pralg_1(A, B))) =>  (! [E] :  (m1_subset_1(E, k4_card_3(k12_pralg_1(A, B))) =>  (! [F] :  ~ ( (r2_tarski(F, A) &  (! [G] :  ( ( ~ (v2_struct_0(G))  & l3_algstr_0(G))  =>  (! [H] :  ( (v1_relat_1(H) & v1_funct_1(H))  =>  ~ ( (G=k1_funct_1(B, F) &  (H=k1_binop_1(u2_algstr_0(C), D, E) & k1_funct_1(H, F)=k1_binop_1(u2_algstr_0(G), k1_funct_1(D, F), k1_funct_1(E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_group_7, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, B) &  (v1_funct_1(F) &  (v1_partfun1(F, B) & v1_group_7(F)) ) ) )  =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l3_algstr_0(G))  =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k2_group_7(B, F))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k2_group_7(B, F))) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(G)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(G)) =>  ( (r2_tarski(A, B) &  (G=k1_funct_1(F, A) &  (C=H &  (D=I &  (E=k6_algstr_0(k2_group_7(B, F), H, I) &  (k1_funct_1(C, A)=J & k1_funct_1(D, A)=K) ) ) ) ) )  => k6_algstr_0(G, J, K)=k1_funct_1(E, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_group_7, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_group_7(B)) ) ) )  =>  (v2_group_7(B, A) <=>  (! [C] :  ~ ( (r2_tarski(C, A) &  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v2_group_1(D) & l3_algstr_0(D)) )  =>  ~ (D=k1_funct_1(B, C)) ) ) ) ) ) ) ) ) ) ).
fof(d4_group_7, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_group_7(B)) ) ) )  =>  (v3_group_7(B, A) <=>  (! [C] :  ~ ( (r2_tarski(C, A) &  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v3_group_1(D) & l3_algstr_0(D)) )  =>  ~ (D=k1_funct_1(B, C)) ) ) ) ) ) ) ) ) ) ).
fof(d5_group_7, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_group_7(B)) ) ) )  =>  (v4_group_7(B, A) <=>  (! [C] :  ~ ( (r2_tarski(C, A) &  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v5_group_1(D) & l3_algstr_0(D)) )  =>  ~ (D=k1_funct_1(B, C)) ) ) ) ) ) ) ) ) ) ).
fof(d6_group_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_group_7(B)) ) ) )  =>  (v2_group_7(B, A) <=>  (! [C] :  (m1_subset_1(C, A) => v2_group_1(k1_group_7(A, B, C))) ) ) ) ) ) ) ).
fof(d7_group_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_group_7(B)) ) ) )  =>  (v3_group_7(B, A) <=>  (! [C] :  (m1_subset_1(C, A) => v3_group_1(k1_group_7(A, B, C))) ) ) ) ) ) ) ).
fof(d8_group_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_group_7(B)) ) ) )  =>  (v4_group_7(B, A) <=>  (! [C] :  (m1_subset_1(C, A) => v5_group_1(k1_group_7(A, B, C))) ) ) ) ) ) ) ).
fof(t2_group_7, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v1_funct_1(C) &  (v1_partfun1(C, B) & v1_group_7(C)) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l3_algstr_0(D))  =>  ( (r2_tarski(A, B) &  (D=k1_funct_1(C, A) & v2_group_1(k2_group_7(B, C))) )  => v2_group_1(D)) ) ) ) ) ) ) ).
fof(t3_group_7, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v1_funct_1(C) &  (v1_partfun1(C, B) & v1_group_7(C)) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l3_algstr_0(D))  =>  ( (r2_tarski(A, B) &  (D=k1_funct_1(C, A) & v3_group_1(k2_group_7(B, C))) )  => v3_group_1(D)) ) ) ) ) ) ) ).
fof(t4_group_7, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v1_funct_1(C) &  (v1_partfun1(C, B) & v1_group_7(C)) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l3_algstr_0(D))  =>  ( (r2_tarski(A, B) &  (D=k1_funct_1(C, A) & v5_group_1(k2_group_7(B, C))) )  => v5_group_1(D)) ) ) ) ) ) ) ).
fof(t5_group_7, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v1_group_7(C) & v2_group_7(C, A)) ) ) ) )  =>  ( (! [D] :  ~ ( (r2_tarski(D, A) &  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v2_group_1(E) & l3_algstr_0(E)) )  =>  ~ ( (E=k1_funct_1(C, D) & k1_funct_1(B, D)=k1_group_1(E)) ) ) ) ) ) )  => B=k1_group_1(k2_group_7(A, C))) ) ) ) ) ) ).
fof(t6_group_7, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) &  (v1_partfun1(D, B) &  (v1_group_7(D) & v2_group_7(D, B)) ) ) ) )  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v2_group_1(E) & l3_algstr_0(E)) )  =>  ( (r2_tarski(A, B) &  (E=k1_funct_1(D, A) & C=k1_group_1(k2_group_7(B, D))) )  => k1_funct_1(C, A)=k1_group_1(E)) ) ) ) ) ) ) ) ) ).
fof(t7_group_7, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v1_group_7(D) &  (v2_group_7(D, A) & v3_group_7(D, A)) ) ) ) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_group_7(A, D))) =>  ( (E=B &  (! [F] :  ~ ( (r2_tarski(F, A) &  (! [G] :  ( ( ~ (v2_struct_0(G))  &  (v2_group_1(G) &  (v3_group_1(G) & l3_algstr_0(G)) ) )  =>  (! [H] :  (m1_subset_1(H, u1_struct_0(G)) =>  ~ ( (G=k1_funct_1(D, F) &  (k1_funct_1(C, F)=k2_group_1(G, H) & H=k1_funct_1(B, F)) ) ) ) ) ) ) ) ) ) )  => C=k2_group_1(k2_group_7(A, D), E)) ) ) ) ) ) ) ) ) ) ).
fof(t8_group_7, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, B) &  (v1_funct_1(E) &  (v1_partfun1(E, B) &  (v1_group_7(E) &  (v2_group_7(E, B) & v3_group_7(E, B)) ) ) ) ) )  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_group_7(B, E))) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  &  (v2_group_1(G) &  (v3_group_1(G) & l3_algstr_0(G)) ) )  =>  (! [H] :  (m1_subset_1(H, u1_struct_0(G)) =>  ( (r2_tarski(A, B) &  (G=k1_funct_1(E, A) &  (C=F &  (D=k2_group_1(k2_group_7(B, E), F) & k1_funct_1(C, A)=H) ) ) )  => k1_funct_1(D, A)=k2_group_1(G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_group_7, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  (! [C] :  ( (v15_algstr_0(C) & m1_group_2(C, k2_group_7(A, B)))  =>  (C=k3_group_7(A, B) <=>  (! [D] :  (r2_hidden(D, u1_struct_0(C)) <=>  (? [E] :  (m1_subset_1(E, k4_card_3(k12_pralg_1(A, B))) &  (? [F] :  ( (v1_finset_1(F) & m1_subset_1(F, k1_zfmisc_1(A)))  &  (? [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, F) &  (v1_funct_1(G) & v1_partfun1(G, F)) ) )  &  (E=k1_group_1(k2_group_7(A, B)) &  (D=k1_funct_4(E, G) &  (! [H] :  ~ ( (r2_tarski(H, F) &  (! [I] :  ( ( ~ (v2_struct_0(I))  &  (v2_group_1(I) & l3_algstr_0(I)) )  =>  ~ ( (I=k1_funct_1(B, H) &  (r2_tarski(k1_funct_1(G, H), u1_struct_0(I)) &  ~ (k1_funct_1(G, H)=k1_group_1(I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_group_7, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  => k2_group_7(A, B)=k3_group_7(A, B)) ) ) ) ).
fof(t10_group_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (v1_relat_1(k9_finseq_1(A)) &  (v4_relat_1(k9_finseq_1(A), k1_tarski(1)) &  (v1_funct_1(k9_finseq_1(A)) &  (v1_partfun1(k9_finseq_1(A), k1_tarski(1)) & v1_group_7(k9_finseq_1(A))) ) ) ) ) ) ).
fof(t11_group_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) & l3_algstr_0(A)) )  =>  (v1_relat_1(k9_finseq_1(A)) &  (v4_relat_1(k9_finseq_1(A), k1_tarski(1)) &  (v1_funct_1(k9_finseq_1(A)) &  (v1_partfun1(k9_finseq_1(A), k1_tarski(1)) &  (v1_group_7(k9_finseq_1(A)) & v2_group_7(k9_finseq_1(A), k1_tarski(1))) ) ) ) ) ) ) ).
fof(t12_group_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_group_1(A) & l3_algstr_0(A)) )  =>  (v1_relat_1(k9_finseq_1(A)) &  (v4_relat_1(k9_finseq_1(A), k1_tarski(1)) &  (v1_funct_1(k9_finseq_1(A)) &  (v1_partfun1(k9_finseq_1(A), k1_tarski(1)) &  (v1_group_7(k9_finseq_1(A)) & v3_group_7(k9_finseq_1(A), k1_tarski(1))) ) ) ) ) ) ) ).
fof(t13_group_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_group_1(A) & l3_algstr_0(A)) )  =>  (v1_relat_1(k9_finseq_1(A)) &  (v4_relat_1(k9_finseq_1(A), k1_tarski(1)) &  (v1_funct_1(k9_finseq_1(A)) &  (v1_partfun1(k9_finseq_1(A), k1_tarski(1)) &  (v1_group_7(k9_finseq_1(A)) & v4_group_7(k9_finseq_1(A), k1_tarski(1))) ) ) ) ) ) ) ).
fof(t14_group_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (v1_relat_1(k9_finseq_1(A)) &  (v4_relat_1(k9_finseq_1(A), k1_tarski(1)) &  (v1_funct_1(k9_finseq_1(A)) &  (v1_partfun1(k9_finseq_1(A), k1_tarski(1)) &  (v1_group_7(k9_finseq_1(A)) &  (v2_group_7(k9_finseq_1(A), k1_tarski(1)) & v3_group_7(k9_finseq_1(A), k1_tarski(1))) ) ) ) ) ) ) ) ).
fof(t15_group_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (v1_relat_1(k9_finseq_1(A)) &  (v4_relat_1(k9_finseq_1(A), k1_tarski(1)) &  (v1_funct_1(k9_finseq_1(A)) &  (v1_partfun1(k9_finseq_1(A), k1_tarski(1)) &  (v1_group_7(k9_finseq_1(A)) &  (v2_group_7(k9_finseq_1(A), k1_tarski(1)) &  (v3_group_7(k9_finseq_1(A), k1_tarski(1)) & v4_group_7(k9_finseq_1(A), k1_tarski(1))) ) ) ) ) ) ) ) ) ).
fof(t16_group_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  =>  (v1_relat_1(k10_finseq_1(A, B)) &  (v4_relat_1(k10_finseq_1(A, B), k2_tarski(1, 2)) &  (v1_funct_1(k10_finseq_1(A, B)) &  (v1_partfun1(k10_finseq_1(A, B), k2_tarski(1, 2)) & v1_group_7(k10_finseq_1(A, B))) ) ) ) ) ) ) ) ).
fof(t17_group_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) & l3_algstr_0(B)) )  =>  (v1_relat_1(k10_finseq_1(A, B)) &  (v4_relat_1(k10_finseq_1(A, B), k2_tarski(1, 2)) &  (v1_funct_1(k10_finseq_1(A, B)) &  (v1_partfun1(k10_finseq_1(A, B), k2_tarski(1, 2)) &  (v1_group_7(k10_finseq_1(A, B)) & v2_group_7(k10_finseq_1(A, B), k2_tarski(1, 2))) ) ) ) ) ) ) ) ) ).
fof(t18_group_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_group_1(B) & l3_algstr_0(B)) )  =>  (v1_relat_1(k10_finseq_1(A, B)) &  (v4_relat_1(k10_finseq_1(A, B), k2_tarski(1, 2)) &  (v1_funct_1(k10_finseq_1(A, B)) &  (v1_partfun1(k10_finseq_1(A, B), k2_tarski(1, 2)) &  (v1_group_7(k10_finseq_1(A, B)) & v3_group_7(k10_finseq_1(A, B), k2_tarski(1, 2))) ) ) ) ) ) ) ) ) ).
fof(t19_group_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v5_group_1(B) & l3_algstr_0(B)) )  =>  (v1_relat_1(k10_finseq_1(A, B)) &  (v4_relat_1(k10_finseq_1(A, B), k2_tarski(1, 2)) &  (v1_funct_1(k10_finseq_1(A, B)) &  (v1_partfun1(k10_finseq_1(A, B), k2_tarski(1, 2)) &  (v1_group_7(k10_finseq_1(A, B)) & v4_group_7(k10_finseq_1(A, B), k2_tarski(1, 2))) ) ) ) ) ) ) ) ) ).
fof(t20_group_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (v1_relat_1(k10_finseq_1(A, B)) &  (v4_relat_1(k10_finseq_1(A, B), k2_tarski(1, 2)) &  (v1_funct_1(k10_finseq_1(A, B)) &  (v1_partfun1(k10_finseq_1(A, B), k2_tarski(1, 2)) &  (v1_group_7(k10_finseq_1(A, B)) &  (v2_group_7(k10_finseq_1(A, B), k2_tarski(1, 2)) & v3_group_7(k10_finseq_1(A, B), k2_tarski(1, 2))) ) ) ) ) ) ) ) ) ) ).
fof(t21_group_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (v1_relat_1(k10_finseq_1(A, B)) &  (v4_relat_1(k10_finseq_1(A, B), k2_tarski(1, 2)) &  (v1_funct_1(k10_finseq_1(A, B)) &  (v1_partfun1(k10_finseq_1(A, B), k2_tarski(1, 2)) &  (v1_group_7(k10_finseq_1(A, B)) &  (v2_group_7(k10_finseq_1(A, B), k2_tarski(1, 2)) &  (v3_group_7(k10_finseq_1(A, B), k2_tarski(1, 2)) & v4_group_7(k10_finseq_1(A, B), k2_tarski(1, 2))) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_group_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l3_algstr_0(C))  =>  (v1_relat_1(k11_finseq_1(A, B, C)) &  (v4_relat_1(k11_finseq_1(A, B, C), k1_enumset1(1, 2, 3)) &  (v1_funct_1(k11_finseq_1(A, B, C)) &  (v1_partfun1(k11_finseq_1(A, B, C), k1_enumset1(1, 2, 3)) & v1_group_7(k11_finseq_1(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t23_group_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) & l3_algstr_0(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) & l3_algstr_0(C)) )  =>  (v1_relat_1(k11_finseq_1(A, B, C)) &  (v4_relat_1(k11_finseq_1(A, B, C), k1_enumset1(1, 2, 3)) &  (v1_funct_1(k11_finseq_1(A, B, C)) &  (v1_partfun1(k11_finseq_1(A, B, C), k1_enumset1(1, 2, 3)) &  (v1_group_7(k11_finseq_1(A, B, C)) & v2_group_7(k11_finseq_1(A, B, C), k1_enumset1(1, 2, 3))) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_group_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_group_1(B) & l3_algstr_0(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v3_group_1(C) & l3_algstr_0(C)) )  =>  (v1_relat_1(k11_finseq_1(A, B, C)) &  (v4_relat_1(k11_finseq_1(A, B, C), k1_enumset1(1, 2, 3)) &  (v1_funct_1(k11_finseq_1(A, B, C)) &  (v1_partfun1(k11_finseq_1(A, B, C), k1_enumset1(1, 2, 3)) &  (v1_group_7(k11_finseq_1(A, B, C)) & v3_group_7(k11_finseq_1(A, B, C), k1_enumset1(1, 2, 3))) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_group_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v5_group_1(B) & l3_algstr_0(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v5_group_1(C) & l3_algstr_0(C)) )  =>  (v1_relat_1(k11_finseq_1(A, B, C)) &  (v4_relat_1(k11_finseq_1(A, B, C), k1_enumset1(1, 2, 3)) &  (v1_funct_1(k11_finseq_1(A, B, C)) &  (v1_partfun1(k11_finseq_1(A, B, C), k1_enumset1(1, 2, 3)) &  (v1_group_7(k11_finseq_1(A, B, C)) & v4_group_7(k11_finseq_1(A, B, C), k1_enumset1(1, 2, 3))) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_group_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) & l3_algstr_0(C)) ) )  =>  (v1_relat_1(k11_finseq_1(A, B, C)) &  (v4_relat_1(k11_finseq_1(A, B, C), k1_enumset1(1, 2, 3)) &  (v1_funct_1(k11_finseq_1(A, B, C)) &  (v1_partfun1(k11_finseq_1(A, B, C), k1_enumset1(1, 2, 3)) &  (v1_group_7(k11_finseq_1(A, B, C)) &  (v2_group_7(k11_finseq_1(A, B, C), k1_enumset1(1, 2, 3)) & v3_group_7(k11_finseq_1(A, B, C), k1_enumset1(1, 2, 3))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_group_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l3_algstr_0(C)) ) ) )  =>  (v1_relat_1(k11_finseq_1(A, B, C)) &  (v4_relat_1(k11_finseq_1(A, B, C), k1_enumset1(1, 2, 3)) &  (v1_funct_1(k11_finseq_1(A, B, C)) &  (v1_partfun1(k11_finseq_1(A, B, C), k1_enumset1(1, 2, 3)) &  (v1_group_7(k11_finseq_1(A, B, C)) &  (v2_group_7(k11_finseq_1(A, B, C), k1_enumset1(1, 2, 3)) &  (v3_group_7(k11_finseq_1(A, B, C), k1_enumset1(1, 2, 3)) & v4_group_7(k11_finseq_1(A, B, C), k1_enumset1(1, 2, 3))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_group_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k6_algstr_0(k2_group_7(k1_tarski(1), k9_finseq_1(A)), k4_group_7(A, B), k4_group_7(A, C))=k4_group_7(A, k6_algstr_0(A, B, C))) ) ) ) ) ) ).
fof(t29_group_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) => k6_algstr_0(k2_group_7(k2_tarski(1, 2), k10_finseq_1(A, B)), k5_group_7(A, B, C, E), k5_group_7(A, B, D, F))=k5_group_7(A, B, k6_algstr_0(A, C, D), k6_algstr_0(B, E, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_group_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l3_algstr_0(C))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(C)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(C)) => k6_algstr_0(k2_group_7(k1_enumset1(1, 2, 3), k11_finseq_1(A, B, C)), k6_group_7(A, B, C, D, F, H), k6_group_7(A, B, C, E, G, I))=k6_group_7(A, B, C, k6_algstr_0(A, D, E), k6_algstr_0(B, F, G), k6_algstr_0(C, H, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_group_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) & l3_algstr_0(A)) )  => k1_group_1(k2_group_7(k1_tarski(1), k9_finseq_1(A)))=k4_group_7(A, k1_group_1(A))) ) ).
fof(t32_group_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) & l3_algstr_0(B)) )  => k1_group_1(k2_group_7(k2_tarski(1, 2), k10_finseq_1(A, B)))=k5_group_7(A, B, k1_group_1(A), k1_group_1(B))) ) ) ) ).
fof(t33_group_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) & l3_algstr_0(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) & l3_algstr_0(C)) )  => k1_group_1(k2_group_7(k1_enumset1(1, 2, 3), k11_finseq_1(A, B, C)))=k6_group_7(A, B, C, k1_group_1(A), k1_group_1(B), k1_group_1(C))) ) ) ) ) ) ).
fof(t34_group_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_group_1(k2_group_7(k1_tarski(1), k9_finseq_1(A)), k4_group_7(A, B))=k4_group_7(A, k2_group_1(A, B))) ) ) ) ).
fof(t35_group_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k2_group_1(k2_group_7(k2_tarski(1, 2), k10_finseq_1(A, B)), k5_group_7(A, B, C, D))=k5_group_7(A, B, k2_group_1(A, C), k2_group_1(B, D))) ) ) ) ) ) ) ) ).
fof(t36_group_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) & l3_algstr_0(C)) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) => k2_group_1(k2_group_7(k1_enumset1(1, 2, 3), k11_finseq_1(A, B, C)), k6_group_7(A, B, C, D, E, F))=k6_group_7(A, B, C, k2_group_1(A, D), k2_group_1(B, E), k2_group_1(C, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_group_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k2_group_7(k1_tarski(1), k9_finseq_1(A)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k2_group_7(k1_tarski(1), k9_finseq_1(A))))))) )  =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(k2_group_7(k1_tarski(1), k9_finseq_1(A))), B, C)=k4_group_7(A, C)) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k2_group_7(k1_tarski(1), k9_finseq_1(A)))) &  (v1_group_6(B, A, k2_group_7(k1_tarski(1), k9_finseq_1(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k2_group_7(k1_tarski(1), k9_finseq_1(A))))))) ) ) ) ) ) ) ) ).
fof(t38_group_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k2_group_7(k1_tarski(1), k9_finseq_1(A)))) &  (v1_group_6(B, A, k2_group_7(k1_tarski(1), k9_finseq_1(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k2_group_7(k1_tarski(1), k9_finseq_1(A))))))) ) )  =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(k2_group_7(k1_tarski(1), k9_finseq_1(A))), B, C)=k4_group_7(A, C)) )  => v3_funct_2(B, u1_struct_0(A), u1_struct_0(k2_group_7(k1_tarski(1), k9_finseq_1(A))))) ) ) ) ) ).
fof(t39_group_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  => r2_group_6(A, k2_group_7(k1_tarski(1), k9_finseq_1(A)))) ) ).
fof(dt_k1_group_7, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_group_7(B)) ) ) )  & m1_subset_1(C, A)) )  =>  ( ~ (v2_struct_0(k1_group_7(A, B, C)))  & l3_algstr_0(k1_group_7(A, B, C))) ) ) ).
fof(redefinition_k1_group_7, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_group_7(B)) ) ) )  & m1_subset_1(C, A)) )  => k1_group_7(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k2_group_7, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_group_7(B)) ) ) )  =>  (v15_algstr_0(k2_group_7(A, B)) & l3_algstr_0(k2_group_7(A, B))) ) ) ).
fof(dt_k3_group_7, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_group_7(B) &  (v2_group_7(B, A) & v3_group_7(B, A)) ) ) ) ) )  =>  (v15_algstr_0(k3_group_7(A, B)) & m1_group_2(k3_group_7(A, B), k2_group_7(A, B))) ) ) ).
fof(dt_k4_group_7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k4_group_7(A, B), u1_struct_0(k2_group_7(k1_tarski(1), k9_finseq_1(A))))) ) ).
fof(redefinition_k4_group_7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  & m1_subset_1(B, u1_struct_0(A)))  => k4_group_7(A, B)=k5_finseq_1(B)) ) ).
fof(dt_k5_group_7, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, u1_struct_0(B))) ) )  => m1_subset_1(k5_group_7(A, B, C, D), u1_struct_0(k2_group_7(k2_tarski(1, 2), k10_finseq_1(A, B))))) ) ).
fof(redefinition_k5_group_7, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, u1_struct_0(B))) ) )  => k5_group_7(A, B, C, D)=k10_finseq_1(C, D)) ) ).
fof(dt_k6_group_7, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  &  ( ( ~ (v2_struct_0(C))  & l3_algstr_0(C))  &  (m1_subset_1(D, u1_struct_0(A)) &  (m1_subset_1(E, u1_struct_0(B)) & m1_subset_1(F, u1_struct_0(C))) ) ) ) )  => m1_subset_1(k6_group_7(A, B, C, D, E, F), u1_struct_0(k2_group_7(k1_enumset1(1, 2, 3), k11_finseq_1(A, B, C))))) ) ).
fof(redefinition_k6_group_7, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  &  ( ( ~ (v2_struct_0(C))  & l3_algstr_0(C))  &  (m1_subset_1(D, u1_struct_0(A)) &  (m1_subset_1(E, u1_struct_0(B)) & m1_subset_1(F, u1_struct_0(C))) ) ) ) )  => k6_group_7(A, B, C, D, E, F)=k11_finseq_1(D, E, F)) ) ).
fof(fc1_group_8, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  & m1_group_2(B, A))  =>  ~ (v1_xboole_0(k15_group_2(A, B))) ) ) ).
fof(t1_group_8, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v15_algstr_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) ) )  =>  ~ ( (v1_int_2(A) &  (k7_group_1(B)=A &  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  ~ (k6_group_1(B, C)=A) ) ) ) ) ) ) ) ) ) ).
fof(t2_group_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (C=E & D=F)  => k6_algstr_0(B, C, D)=k6_algstr_0(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_group_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (C=D =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) => k5_group_1(B, C, E)=k5_group_1(A, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_group_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (C=D =>  (! [E] :  (v1_int_1(E) => k5_group_1(B, C, E)=k5_group_1(A, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_group_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (C=D & v8_struct_0(A))  => k6_group_1(B, C)=k6_group_1(A, D)) ) ) ) ) ) ) ) ) ).
fof(t6_group_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_struct_0(B, C) => r1_tarski(k14_group_2(A, B, C), u1_struct_0(B))) ) ) ) ) ) ) ).
fof(t7_group_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ ( ( ~ (B=k1_group_1(A))  & k5_group_4(A, k6_domain_1(u1_struct_0(A), B))=k6_group_2(A)) ) ) ) ) ) ).
fof(t8_group_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (v1_int_1(B) => k5_group_1(A, k1_group_1(A), B)=k1_group_1(A)) ) ) ) ).
fof(t9_group_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_int_1(C) => k5_group_1(A, B, k3_xcmplx_0(C, k6_group_1(A, B)))=k1_group_1(A)) ) ) ) ) ) ).
fof(t10_group_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (v4_group_1(B, A))  =>  (! [C] :  (v1_int_1(C) => k5_group_1(A, B, C)=k5_group_1(A, B, k5_int_1(C, k6_group_1(A, B)))) ) ) ) ) ) ) ).
fof(t11_group_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (v4_group_1(B, A))  => v8_struct_0(k5_group_4(A, k6_domain_1(u1_struct_0(A), B)))) ) ) ) ) ).
fof(t12_group_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v4_group_1(B, A) => v4_group_1(k2_group_1(A, B), A)) ) ) ) ) ).
fof(t13_group_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v4_group_1(B, A) <=>  (! [C] :  (v1_int_1(C) =>  (k5_group_1(A, B, C)=k1_group_1(A) => C=k5_numbers) ) ) ) ) ) ) ) ).
fof(t14_group_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  ( ~ ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => B=k1_group_1(A)) ) )  =>  ( (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  (B=A | r1_group_2(A, B, k6_group_2(A))) ) )  <=>  (v1_gr_cy_1(A) &  (v8_struct_0(A) &  (? [B] :  (m1_subset_1(B, k4_ordinal1) &  (k7_struct_0(A)=B & v1_int_2(B)) ) ) ) ) ) ) ) ) ).
fof(t15_group_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(D, k5_group_2(A, C, k4_group_2(A, B, E))) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (D=k6_algstr_0(A, k6_algstr_0(A, B, F), C) & r2_tarski(F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_group_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_card_1(B)=k1_card_1(k5_group_2(A, C, k4_group_2(A, k2_group_1(A, C), B)))) ) ) ) ) ) ).
fof(d1_group_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  (! [C] :  ( (v15_algstr_0(C) & m1_group_2(C, A))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (D=k1_group_8(A, B, C) <=>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(E, D) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) & E=k11_group_2(A, C, k14_group_2(A, B, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_group_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v15_algstr_0(D) & m1_group_2(D, A))  =>  (! [E] :  ( (v15_algstr_0(E) & m1_group_2(E, A))  =>  (r2_tarski(C, k11_group_2(A, E, k14_group_2(A, D, B))) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  (C=k6_algstr_0(A, k6_algstr_0(A, F, B), G) &  (r1_struct_0(D, F) & r1_struct_0(E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_group_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v15_algstr_0(D) & m1_group_2(D, A))  =>  (! [E] :  ( (v15_algstr_0(E) & m1_group_2(E, A))  =>  (k11_group_2(A, E, k14_group_2(A, D, B))=k11_group_2(A, E, k14_group_2(A, D, C)) |  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r2_tarski(F, k11_group_2(A, E, k14_group_2(A, D, B))) & r2_tarski(F, k11_group_2(A, E, k14_group_2(A, D, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_group_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_group_2(D, C) =>  ( (D=k10_group_2(A, C, B) & v8_struct_0(A))  => r1_xxreal_0(k18_group_2(C, D), k18_group_2(A, B))) ) ) ) ) ) ) ) ) ).
fof(t20_group_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  ~ (r1_xxreal_0(k18_group_2(A, B), k5_numbers)) ) ) ) ) ).
fof(t21_group_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (v8_struct_0(A) =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, B) =>  (! [D] :  (m1_group_2(D, B) =>  (! [E] :  (m1_group_2(E, C) =>  (E=k10_group_2(B, C, D) =>  (! [F] :  (m1_group_2(F, D) =>  (F=k10_group_2(B, C, D) =>  (! [G] :  (m1_group_2(G, B) =>  ( (G=k10_group_2(B, C, D) & r1_int_2(k18_group_2(B, C), k18_group_2(B, D)))  =>  (k18_group_2(B, D)=k18_group_2(C, E) & k18_group_2(B, C)=k18_group_2(D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_group_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_struct_0(B, C) =>  (! [D] :  (v1_int_1(D) => r1_struct_0(B, k5_group_1(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t23_group_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  ~ ( ( ~ (A=k6_group_2(A))  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => B=k1_group_1(A)) ) ) ) ) ) ).
fof(t24_group_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (A=k5_group_4(A, k6_domain_1(u1_struct_0(A), B)) =>  (! [C] :  ( (v15_algstr_0(C) & m1_group_2(C, A))  =>  ~ ( ( ~ (C=k6_group_2(A))  &  (! [D] :  (v7_ordinal1(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  & r1_struct_0(C, k5_group_1(A, B, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_group_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) &  (v1_gr_cy_1(A) & l3_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v1_gr_cy_1(B) & l3_algstr_0(B)) ) ) ) ) ) ) ) ).
fof(dt_k1_group_8, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  &  ( (v15_algstr_0(B) & m1_group_2(B, A))  &  (v15_algstr_0(C) & m1_group_2(C, A)) ) )  => m1_subset_1(k1_group_8(A, B, C), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(rc1_group_9, axiom,  (! [A] :  (? [B] :  (l1_group_9(B, A) & v2_group_9(B, A)) ) ) ).
fof(rc2_group_9, axiom,  (! [A] :  (? [B] :  (l1_group_9(B, A) &  ~ (v2_struct_0(B)) ) ) ) ).
fof(rc3_group_9, axiom,  (! [A] :  (? [B] :  (l1_group_9(B, A) &  ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v2_group_9(B, A) & v3_group_9(B, A)) ) ) ) ) ) ) ).
fof(rc4_group_9, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (? [C] :  (m1_group_9(C, A, B) &  ( ~ (v2_struct_0(C))  &  (v1_group_1(C) &  (v2_group_1(C) &  (v3_group_1(C) &  (v2_group_9(C, A) & v3_group_9(C, A)) ) ) ) ) ) ) ) ) ).
fof(rc5_group_9, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (? [C] :  (m1_group_9(C, A, B) &  ( ~ (v2_struct_0(C))  &  (v1_group_1(C) &  (v2_group_1(C) &  (v3_group_1(C) &  (v2_group_9(C, A) &  (v3_group_9(C, A) & v4_group_9(C, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(rc6_group_9, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  & m1_group_9(C, A, B))  =>  (? [D] :  (m1_group_9(D, A, C) &  ( ~ (v2_struct_0(D))  &  (v1_group_1(D) &  (v2_group_1(D) &  (v3_group_1(D) &  (v3_group_9(D, A) & v4_group_9(D, A, C)) ) ) ) ) ) ) ) ) ).
fof(fc1_group_9, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (v2_group_9(k4_group_9(A, B), A) & v4_group_9(k4_group_9(A, B), A, B)) ) ) ).
fof(fc2_group_9, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (v2_group_9(k5_group_9(A, B), A) & v4_group_9(k5_group_9(A, B), A, B)) ) ) ).
fof(fc3_group_9, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  ~ (v1_xboole_0(k6_group_9(A, B))) ) ) ).
fof(rc7_group_9, axiom,  (? [A] :  (l3_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v1_group_1(A) &  (v2_group_1(A) &  (v3_group_1(A) & v5_group_9(A)) ) ) ) ) ) ) ).
fof(rc8_group_9, axiom,  (! [A] :  (? [B] :  (l1_group_9(B, A) &  ( ~ (v2_struct_0(B))  &  (v1_group_1(B) &  (v2_group_1(B) &  (v3_group_1(B) &  (v2_group_9(B, A) &  (v3_group_9(B, A) & v6_group_9(B, A)) ) ) ) ) ) ) ) ) ).
fof(fc4_group_9, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  &  (v4_group_9(C, A, B) & m1_group_9(C, A, B)) )  =>  ~ (v2_struct_0(k10_group_9(A, B, C))) ) ) ).
fof(fc5_group_9, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  &  (v4_group_9(C, A, B) & m1_group_9(C, A, B)) )  =>  (v2_group_1(k10_group_9(A, B, C)) &  (v3_group_1(k10_group_9(A, B, C)) & v3_group_9(k10_group_9(A, B, C), A)) ) ) ) ).
fof(rc9_group_9, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  &  ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v3_group_9(C, A) & l1_group_9(C, A)) ) ) ) )  =>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))) &  (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v5_relat_1(D, u1_struct_0(C)) &  (v1_funct_1(D) &  ( ~ (v1_xboole_0(D))  &  (v1_partfun1(D, u1_struct_0(B)) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v1_group_6(D, B, C) & v7_group_9(D, A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc6_group_9, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v3_group_9(C, A) & l1_group_9(C, A)) ) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v1_group_6(D, B, C) &  (v7_group_9(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) ) )  =>  (v2_group_9(k13_group_9(A, B, C, D), A) & v4_group_9(k13_group_9(A, B, C, D), A, B)) ) ) ).
fof(rc10_group_9, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (? [C] :  (m1_finseq_1(C, k6_group_9(A, B)) &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, k6_group_9(A, B)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_finseq_1(C) &  (v2_finseq_1(C) & v8_group_9(C, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_group_9, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_funct_2(B, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_funct_2(B, B))))) )  =>  (! [D] :  (r1_group_9(A, B, C, D) <=>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, B, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, B)))) )  =>  ( (r2_tarski(E, A) & F=k1_funct_1(C, E))  => r1_tarski(k7_relset_1(B, B, F, D), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_group_9, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_funct_2(B, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_funct_2(B, B))))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(B)) =>  (E=k1_group_9(A, B, C, D) <=>  (r1_tarski(D, E) &  (r1_group_9(A, B, C, E) &  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(B)) =>  ( (r1_group_9(A, B, C, F) & r1_tarski(D, F))  => r1_tarski(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_group_9, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_funct_2(B, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_funct_2(B, B))))) )  =>  (! [D] :  (m2_finseq_1(D, A) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, B)))) )  =>  ( (k3_finseq_1(D)=k5_numbers =>  (E=k2_group_9(A, B, C, D) <=> r2_funct_2(B, B, E, k6_partfun1(B))) )  &  ( ~ (k3_finseq_1(D)=k5_numbers)  =>  (E=k2_group_9(A, B, C, D) <=>  (? [F] :  (m2_finseq_1(F, k1_funct_2(B, B)) &  (E=k1_funct_1(F, k3_finseq_1(D)) &  (k3_finseq_1(F)=k3_finseq_1(D) &  (k1_funct_1(F, 1)=k1_funct_1(C, k1_funct_1(D, 1)) &  (! [G] :  (v7_ordinal1(G) =>  ~ ( ( ~ (G=k5_numbers)  &  ( ~ (r1_xxreal_0(k3_finseq_1(D), G))  &  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, B, B) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(B, B)))) )  =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, B, B) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(B, B)))) )  =>  ~ ( (H=k1_funct_1(F, G) &  (I=k1_funct_1(C, k1_funct_1(D, k1_nat_1(G, 1))) & k1_funct_1(F, k1_nat_1(G, 1))=k1_partfun1(B, B, B, B, I, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_funct_2(u1_struct_0(B), u1_struct_0(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_funct_2(u1_struct_0(B), u1_struct_0(B)))))) )  =>  (v1_group_9(C, A, B) <=>  (! [D] :  (m1_subset_1(D, A) =>  (r2_tarski(D, A) =>  (v1_funct_1(k1_funct_1(C, D)) &  (v1_funct_2(k1_funct_1(C, D), u1_struct_0(B), u1_struct_0(B)) &  (v1_group_6(k1_funct_1(C, D), B, B) & m1_subset_1(k1_funct_1(C, D), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_group_9(B, A))  =>  (v3_group_9(B, A) <=>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) & l3_algstr_0(C)) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_funct_2(u1_struct_0(C), u1_struct_0(C))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_funct_2(u1_struct_0(C), u1_struct_0(C)))))) )  =>  ( (r1_funct_2(A, k1_funct_2(u1_struct_0(C), u1_struct_0(C)), A, k1_funct_2(u1_struct_0(B), u1_struct_0(B)), D, u1_group_9(A, B)) & g3_algstr_0(u1_struct_0(C), u2_algstr_0(C))=g3_algstr_0(u1_struct_0(B), u2_algstr_0(B)))  => v1_group_9(D, A, C)) ) ) ) ) ) ) ) ) ).
fof(d6_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, A) =>  ( (r2_tarski(C, A) => k3_group_9(A, B, C)=k1_funct_1(u1_group_9(A, B), C))  &  ( ~ (r2_tarski(C, A))  => k3_group_9(A, B, C)=k6_partfun1(u1_struct_0(B))) ) ) ) ) ) ) ).
fof(d7_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v3_group_9(C, A) & l1_group_9(C, A)) ) ) )  =>  (m1_group_9(C, A, B) <=>  (m1_group_2(C, B) &  (! [D] :  (m1_subset_1(D, A) => k3_group_9(A, C, D)=k2_partfun1(u1_struct_0(B), u1_struct_0(B), k3_group_9(A, B, D), u1_struct_0(C))) ) ) ) ) ) ) ) ) ).
fof(d8_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v2_group_9(C, A) & m1_group_9(C, A, B))  =>  (C=k4_group_9(A, B) <=> u1_struct_0(C)=k1_tarski(k1_group_1(B))) ) ) ) ) ) ).
fof(d9_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  => k5_group_9(A, B)=g1_group_9(A, u1_struct_0(B), u2_algstr_0(B), u1_group_9(A, B))) ) ) ).
fof(d10_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) =>  (v4_group_9(C, A, B) <=>  (! [D] :  ( (v15_algstr_0(D) & m1_group_2(D, B))  =>  (D=g3_algstr_0(u1_struct_0(C), u2_algstr_0(C)) => v1_group_3(D, B)) ) ) ) ) ) ) ) ) ).
fof(d11_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (C=k6_group_9(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (v2_group_9(D, A) & m1_group_9(D, A, B)) ) ) ) ) ) ) ) ).
fof(d12_group_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (v5_group_9(A) <=>  ( ~ (v7_struct_0(A))  &  (! [B] :  ( (v15_algstr_0(B) &  (v1_group_3(B, A) & m1_group_2(B, A)) )  =>  ~ ( ( ~ (B=k7_group_2(A))  &  ~ (B=k6_group_2(A)) ) ) ) ) ) ) ) ) ).
fof(d13_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (v6_group_9(B, A) <=>  ( ~ (v7_struct_0(B))  &  (! [C] :  ( (v2_group_9(C, A) &  (v4_group_9(C, A, B) & m1_group_9(C, A, B)) )  =>  ~ ( ( ~ (C=k5_group_9(A, B))  &  ~ (C=k4_group_9(A, B)) ) ) ) ) ) ) ) ) ) ).
fof(d14_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v4_group_9(C, A, B) & m1_group_9(C, A, B))  =>  (! [D] :  (D=k7_group_9(A, B, C) <=>  (! [E] :  ( (v15_algstr_0(E) &  (v1_group_3(E, B) & m1_group_2(E, B)) )  =>  (E=g3_algstr_0(u1_struct_0(C), u2_algstr_0(C)) => D=k15_group_2(B, E)) ) ) ) ) ) ) ) ) ) ).
fof(d15_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v4_group_9(C, A, B) & m1_group_9(C, A, B))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k7_group_9(A, B, C), k7_group_9(A, B, C)), k7_group_9(A, B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k7_group_9(A, B, C), k7_group_9(A, B, C)), k7_group_9(A, B, C))))) )  =>  (D=k8_group_9(A, B, C) <=>  (! [E] :  ( (v15_algstr_0(E) &  (v1_group_3(E, B) & m1_group_2(E, B)) )  =>  (E=g3_algstr_0(u1_struct_0(C), u2_algstr_0(C)) => D=k4_group_6(B, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v4_group_9(C, A, B) & m1_group_9(C, A, B))  => k10_group_9(A, B, C)=g1_group_9(A, k7_group_9(A, B, C), k8_group_9(A, B, C), k9_group_9(A, B, C))) ) ) ) ) ).
fof(d18_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v3_group_9(C, A) & l1_group_9(C, A)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (v7_group_9(D, A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) => k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, k3_funct_2(u1_struct_0(B), u1_struct_0(B), k3_group_9(A, B, E), F))=k3_funct_2(u1_struct_0(C), u1_struct_0(C), k3_group_9(A, C, E), k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v3_group_9(C, A) & l1_group_9(C, A)) ) ) )  =>  (r2_group_9(A, B, C) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v1_group_6(D, B, C) &  (v7_group_9(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  & v3_funct_2(D, u1_struct_0(B), u1_struct_0(C))) ) ) ) ) ) ) ) ).
fof(d20_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v4_group_9(C, A, B) & m1_group_9(C, A, B))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(k10_group_9(A, B, C))) &  (v1_group_6(D, B, k10_group_9(A, B, C)) &  (v7_group_9(D, A, B, k10_group_9(A, B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(k10_group_9(A, B, C)))))) ) ) )  =>  (D=k12_group_9(A, B, C) <=>  (! [E] :  ( (v15_algstr_0(E) &  (v1_group_3(E, B) & m1_group_2(E, B)) )  =>  (E=g3_algstr_0(u1_struct_0(C), u2_algstr_0(C)) => r1_funct_2(u1_struct_0(B), u1_struct_0(k10_group_9(A, B, C)), u1_struct_0(B), u1_struct_0(k5_group_6(B, E)), D, k8_group_6(B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d22_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v3_group_9(C, A) & l1_group_9(C, A)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v1_group_6(D, B, C) &  (v7_group_9(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  (! [E] :  ( (v2_group_9(E, A) & m1_group_9(E, A, C))  =>  (E=k14_group_9(A, B, C, D) <=> u1_struct_0(E)=k7_relset_1(u1_struct_0(B), u1_struct_0(C), D, u1_struct_0(B))) ) ) ) ) ) ) ) ) ) ).
fof(d23_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) => k15_group_9(A, B, C)=u1_struct_0(C)) ) ) ) ) ).
fof(d24_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) =>  (! [D] :  (m1_group_9(D, A, B) => k16_group_9(A, B, C, D)=k2_group_2(B, k15_group_9(A, B, C), k15_group_9(A, B, D))) ) ) ) ) ) ) ).
fof(d25_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) =>  (! [D] :  (m1_group_9(D, A, B) =>  (! [E] :  ( (v2_group_9(E, A) & m1_group_9(E, A, B))  =>  (E=k17_group_9(A, B, C, D) <=> u1_struct_0(E)=k9_subset_1(u1_struct_0(B), k15_group_9(A, B, C), k15_group_9(A, B, D))) ) ) ) ) ) ) ) ) ) ).
fof(d26_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  ( (v2_group_9(D, A) & m1_group_9(D, A, B))  =>  (D=k18_group_9(A, B, C) <=>  (r1_tarski(C, u1_struct_0(D)) &  (! [E] :  ( (v2_group_9(E, A) & m1_group_9(E, A, B))  =>  (r1_tarski(C, u1_struct_0(E)) => m1_group_9(D, A, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d27_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) =>  (! [D] :  (m1_group_9(D, A, B) => k19_group_9(A, B, C, D)=k18_group_9(A, B, k4_subset_1(u1_struct_0(B), k15_group_9(A, B, C), k15_group_9(A, B, D)))) ) ) ) ) ) ) ).
fof(t1_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) =>  (! [D] :  (r1_struct_0(C, D) => r1_struct_0(B, D)) ) ) ) ) ) ) ).
fof(t2_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) => m1_subset_1(D, u1_struct_0(B))) ) ) ) ) ) ) ).
fof(t3_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(C)) =>  ( (F=D & G=E)  => k6_algstr_0(C, F, G)=k6_algstr_0(B, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) => k1_group_1(B)=k1_group_1(C)) ) ) ) ) ).
fof(t5_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) => r1_struct_0(C, k1_group_1(B))) ) ) ) ) ).
fof(t6_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (E=D => k2_group_1(C, E)=k2_group_1(B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t7_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  ( (r1_struct_0(C, D) & r1_struct_0(C, E))  => r1_struct_0(C, k6_algstr_0(B, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t8_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r1_struct_0(C, D) => r1_struct_0(C, k2_group_1(B, D))) ) ) ) ) ) ) ) ).
fof(t9_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  ~ ( ( ~ (C=k1_xboole_0)  &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  ( (r2_tarski(D, C) & r2_tarski(E, C))  => r2_tarski(k6_algstr_0(B, D, E), C)) ) ) ) )  &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r2_tarski(D, C) => r2_tarski(k2_group_1(B, D), C)) ) )  &  ( (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (r2_tarski(E, C) => r2_tarski(k3_funct_2(u1_struct_0(B), u1_struct_0(B), k3_group_9(A, B, D), E), C)) ) ) ) )  &  (! [D] :  ( (v2_group_9(D, A) & m1_group_9(D, A, B))  =>  ~ (u1_struct_0(D)=C) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  => m1_group_9(B, A, B)) ) ) ).
fof(t11_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v3_group_9(C, A) & l1_group_9(C, A)) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v2_group_1(D) &  (v3_group_1(D) &  (v3_group_9(D, A) & l1_group_9(D, A)) ) ) )  =>  ( (m1_group_9(B, A, C) & m1_group_9(C, A, D))  => m1_group_9(B, A, D)) ) ) ) ) ) ) ) ).
fof(t12_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) =>  (! [D] :  (m1_group_9(D, A, B) =>  (r1_tarski(u1_struct_0(C), u1_struct_0(D)) => m1_group_9(C, A, D)) ) ) ) ) ) ) ) ).
fof(t13_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) =>  (! [D] :  (m1_group_9(D, A, B) =>  ( (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (r1_struct_0(C, E) => r1_struct_0(D, E)) ) )  => m1_group_9(C, A, D)) ) ) ) ) ) ) ) ).
fof(t14_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v2_group_9(C, A) & m1_group_9(C, A, B))  =>  (! [D] :  ( (v2_group_9(D, A) & m1_group_9(D, A, B))  =>  (u1_struct_0(C)=u1_struct_0(D) => C=D) ) ) ) ) ) ) ) ).
fof(t15_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) => k4_group_9(A, B)=k4_group_9(A, C)) ) ) ) ) ).
fof(t16_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) => m1_group_9(k4_group_9(A, B), A, C)) ) ) ) ) ).
fof(t17_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) =>  (! [D] :  (m1_group_9(D, A, B) =>  ~ ( (k2_group_2(B, k15_group_9(A, B, C), k15_group_9(A, B, D))=k2_group_2(B, k15_group_9(A, B, D), k15_group_9(A, B, C)) &  (! [E] :  ( (v2_group_9(E, A) & m1_group_9(E, A, B))  =>  ~ (u1_struct_0(E)=k2_group_2(B, k15_group_9(A, B, C), k15_group_9(A, B, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) =>  (! [D] :  (m1_group_9(D, A, B) =>  ( (! [E] :  (m1_group_9(E, A, B) =>  (E=k17_group_9(A, B, C, D) => u1_struct_0(E)=k3_xboole_0(u1_struct_0(C), u1_struct_0(D))) ) )  &  (! [E] :  ( (v2_group_9(E, A) & m1_group_9(E, A, B))  =>  (u1_struct_0(E)=k3_xboole_0(u1_struct_0(C), u1_struct_0(D)) => E=k17_group_9(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v2_group_9(C, A) & m1_group_9(C, A, B))  => k17_group_9(A, B, C, C)=C) ) ) ) ) ).
fof(t20_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) =>  (! [D] :  (m1_group_9(D, A, B) =>  (! [E] :  (m1_group_9(E, A, B) => k17_group_9(A, B, k17_group_9(A, B, C, D), E)=k17_group_9(A, B, C, k17_group_9(A, B, D, E))) ) ) ) ) ) ) ) ) ).
fof(t21_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) =>  (k17_group_9(A, B, k4_group_9(A, B), C)=k4_group_9(A, B) & k17_group_9(A, B, C, k4_group_9(A, B))=k4_group_9(A, B)) ) ) ) ) ) ).
fof(t22_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v4_group_9(C, A, B) & m1_group_9(C, A, B))  => k3_tarski(k7_group_9(A, B, C))=u1_struct_0(B)) ) ) ) ) ).
fof(t23_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v2_group_9(C, A) &  (v4_group_9(C, A, B) & m1_group_9(C, A, B)) )  =>  (! [D] :  ( (v2_group_9(D, A) &  (v4_group_9(D, A, B) & m1_group_9(D, A, B)) )  =>  (? [E] :  ( (v2_group_9(E, A) &  (v4_group_9(E, A, B) & m1_group_9(E, A, B)) )  & u1_struct_0(E)=k2_group_2(B, k15_group_9(A, B, C), k15_group_9(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t24_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r1_struct_0(k18_group_9(A, B, C), D) <=>  (? [E] :  (m2_finseq_1(E, u1_struct_0(B)) &  (? [F] :  (m2_finseq_1(F, k4_numbers) &  (? [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(B))) &  (G=k1_group_9(A, u1_struct_0(B), u1_group_9(A, B), C) &  (k3_finseq_1(E)=k3_finseq_1(F) &  (r1_tarski(k2_relset_1(u1_struct_0(B), E), G) & k3_group_4(B, k4_group_4(B, F, E))=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v2_group_9(C, A) & m1_group_9(C, A, B))  => k18_group_9(A, B, k15_group_9(A, B, C))=C) ) ) ) ) ).
fof(t26_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (r1_tarski(C, D) => m1_group_9(k18_group_9(A, B, C), A, k18_group_9(A, B, D))) ) ) ) ) ) ) ) ).
fof(t28_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v2_group_9(C, A) &  (v4_group_9(C, A, B) & m1_group_9(C, A, B)) )  =>  (! [D] :  ( (v2_group_9(D, A) &  (v4_group_9(D, A, B) & m1_group_9(D, A, B)) )  => k16_group_9(A, B, C, D)=k16_group_9(A, B, D, C)) ) ) ) ) ) ) ).
fof(t29_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) =>  (! [D] :  (m1_group_9(D, A, B) => k19_group_9(A, B, C, D)=k18_group_9(A, B, k16_group_9(A, B, C, D))) ) ) ) ) ) ) ).
fof(t30_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) =>  (! [D] :  (m1_group_9(D, A, B) =>  (k16_group_9(A, B, C, D)=k16_group_9(A, B, D, C) => u1_struct_0(k19_group_9(A, B, C, D))=k16_group_9(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t31_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v2_group_9(C, A) &  (v4_group_9(C, A, B) & m1_group_9(C, A, B)) )  =>  (! [D] :  ( (v2_group_9(D, A) &  (v4_group_9(D, A, B) & m1_group_9(D, A, B)) )  => u1_struct_0(k19_group_9(A, B, C, D))=k16_group_9(A, B, C, D)) ) ) ) ) ) ) ).
fof(t32_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v2_group_9(C, A) &  (v4_group_9(C, A, B) & m1_group_9(C, A, B)) )  =>  (! [D] :  ( (v2_group_9(D, A) &  (v4_group_9(D, A, B) & m1_group_9(D, A, B)) )  =>  (v4_group_9(k19_group_9(A, B, C, D), A, B) & m1_group_9(k19_group_9(A, B, C, D), A, B)) ) ) ) ) ) ) ) ).
fof(t33_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v2_group_9(C, A) & m1_group_9(C, A, B))  =>  (k19_group_9(A, B, k4_group_9(A, B), C)=C & k19_group_9(A, B, C, k4_group_9(A, B))=C) ) ) ) ) ) ).
fof(t34_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) =>  (k19_group_9(A, B, k5_group_9(A, B), C)=k5_group_9(A, B) & k19_group_9(A, B, C, k5_group_9(A, B))=k5_group_9(A, B)) ) ) ) ) ) ).
fof(t35_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) =>  (! [D] :  (m1_group_9(D, A, B) =>  (m1_group_9(C, A, k19_group_9(A, B, C, D)) & m1_group_9(D, A, k19_group_9(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t36_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) =>  (! [D] :  ( (v2_group_9(D, A) & m1_group_9(D, A, B))  =>  (m1_group_9(C, A, D) <=> k19_group_9(A, B, C, D)=D) ) ) ) ) ) ) ) ).
fof(t37_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) =>  (! [D] :  (m1_group_9(D, A, B) =>  (! [E] :  ( (v2_group_9(E, A) & m1_group_9(E, A, B))  =>  ( (m1_group_9(C, A, E) & m1_group_9(D, A, E))  => m1_group_9(k19_group_9(A, B, C, D), A, E)) ) ) ) ) ) ) ) ) ) ).
fof(t38_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) =>  (! [D] :  ( (v2_group_9(D, A) & m1_group_9(D, A, B))  =>  (! [E] :  ( (v2_group_9(E, A) & m1_group_9(E, A, B))  =>  (m1_group_9(C, A, D) => m1_group_9(k19_group_9(A, B, C, E), A, k19_group_9(A, B, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t39_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) =>  (! [D] :  (m1_group_9(D, A, C) =>  (! [E] :  (m1_group_9(E, A, C) =>  (! [F] :  (m1_group_9(F, A, B) =>  (! [G] :  (m1_group_9(G, A, B) =>  ( (D=F & E=G)  => k17_group_9(A, B, F, G)=k17_group_9(A, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v4_group_9(C, A, B) & m1_group_9(C, A, B))  =>  (! [D] :  (m1_group_9(D, A, B) =>  (m1_group_9(C, A, D) =>  (v4_group_9(C, A, D) & m1_group_9(C, A, D)) ) ) ) ) ) ) ) ) ).
fof(t41_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v4_group_9(C, A, B) & m1_group_9(C, A, B))  =>  (! [D] :  (m1_group_9(D, A, B) =>  ( (v4_group_9(k17_group_9(A, B, D, C), A, D) & m1_group_9(k17_group_9(A, B, D, C), A, D))  &  (v4_group_9(k17_group_9(A, B, C, D), A, D) & m1_group_9(k17_group_9(A, B, C, D), A, D)) ) ) ) ) ) ) ) ) ).
fof(t42_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v2_group_9(B, A) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) ) )  =>  (v7_struct_0(B) => k4_group_9(A, B)=B) ) ) ) ).
fof(t43_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v4_group_9(C, A, B) & m1_group_9(C, A, B))  => k1_group_1(k10_group_9(A, B, C))=k15_group_9(A, B, C)) ) ) ) ) ).
fof(t44_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v2_group_9(C, A) &  (v4_group_9(C, A, B) & m1_group_9(C, A, B)) )  =>  (! [D] :  ( (v2_group_9(D, A) &  (v4_group_9(D, A, B) & m1_group_9(D, A, B)) )  =>  (! [E] :  ( (v4_group_9(E, A, D) & m1_group_9(E, A, D))  =>  ( (E=C & m1_group_9(C, A, D))  =>  (v4_group_9(k10_group_9(A, D, E), A, k10_group_9(A, B, C)) & m1_group_9(k10_group_9(A, D, E), A, k10_group_9(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v3_group_9(C, A) & l1_group_9(C, A)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v1_group_6(D, B, C) &  (v7_group_9(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  => k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, k1_group_1(B))=k1_group_1(C)) ) ) ) ) ) ) ).
fof(t46_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v3_group_9(C, A) & l1_group_9(C, A)) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) &  (v1_group_6(E, B, C) &  (v7_group_9(E, A, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  => k3_funct_2(u1_struct_0(B), u1_struct_0(C), E, k2_group_1(B, D))=k2_group_1(C, k3_funct_2(u1_struct_0(B), u1_struct_0(C), E, D))) ) ) ) ) ) ) ) ) ).
fof(t47_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v3_group_9(C, A) & l1_group_9(C, A)) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) &  (v1_group_6(E, B, C) &  (v7_group_9(E, A, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  (r1_struct_0(k13_group_9(A, B, C, E), D) <=> k3_funct_2(u1_struct_0(B), u1_struct_0(C), E, D)=k1_group_1(C)) ) ) ) ) ) ) ) ) ) ).
fof(t48_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v2_group_9(C, A) &  (v4_group_9(C, A, B) & m1_group_9(C, A, B)) )  => k13_group_9(A, B, k10_group_9(A, B, C), k12_group_9(A, B, C))=C) ) ) ) ) ).
fof(t49_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v3_group_9(C, A) & l1_group_9(C, A)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v1_group_6(D, B, C) &  (v7_group_9(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  => k2_relset_1(u1_struct_0(C), D)=u1_struct_0(k14_group_9(A, B, C, D))) ) ) ) ) ) ) ).
fof(t50_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v4_group_9(C, A, B) & m1_group_9(C, A, B))  => k14_group_9(A, B, k10_group_9(A, B, C), k12_group_9(A, B, C))=k10_group_9(A, B, C)) ) ) ) ) ).
fof(t51_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v2_group_9(C, A) &  (v3_group_9(C, A) & l1_group_9(C, A)) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v1_group_6(D, B, C) &  (v7_group_9(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  (v2_funct_2(D, u1_struct_0(C)) <=> k14_group_9(A, B, C, D)=C) ) ) ) ) ) ) ) ).
fof(t52_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v2_group_9(C, A) &  (v3_group_9(C, A) & l1_group_9(C, A)) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v1_group_6(D, B, C) &  (v7_group_9(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  (v2_funct_2(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) & k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, F)=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v4_group_9(C, A, B) & m1_group_9(C, A, B))  => v2_funct_2(k12_group_9(A, B, C), u1_struct_0(k10_group_9(A, B, C)))) ) ) ) ) ).
fof(t54_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  => v3_funct_2(k12_group_9(A, B, k4_group_9(A, B)), u1_struct_0(B), u1_struct_0(k10_group_9(A, B, k4_group_9(A, B))))) ) ) ).
fof(t55_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v3_group_9(C, A) & l1_group_9(C, A)) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v2_group_1(D) &  (v3_group_1(D) &  (v3_group_9(D, A) & l1_group_9(D, A)) ) ) )  =>  ( (r3_group_9(A, B, C) & r3_group_9(A, C, D))  => r3_group_9(A, B, D)) ) ) ) ) ) ) ) ).
fof(t56_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v2_group_9(B, A) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) ) )  => r3_group_9(A, B, k10_group_9(A, B, k4_group_9(A, B)))) ) ) ).
fof(t57_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v2_group_9(B, A) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) ) )  => v7_struct_0(k10_group_9(A, B, k5_group_9(A, B)))) ) ) ).
fof(t58_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v2_group_9(B, A) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v2_group_9(C, A) &  (v3_group_9(C, A) & l1_group_9(C, A)) ) ) ) )  =>  ( (r3_group_9(A, B, C) & v7_struct_0(B))  => v7_struct_0(C)) ) ) ) ) ) ).
fof(t59_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v3_group_9(C, A) & l1_group_9(C, A)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v1_group_6(D, B, C) &  (v7_group_9(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  => r3_group_9(A, k10_group_9(A, B, k13_group_9(A, B, C, D)), k14_group_9(A, B, C, D))) ) ) ) ) ) ) ).
fof(t60_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v2_group_9(C, A) & m1_group_9(C, A, B))  =>  (! [D] :  ( (v2_group_9(D, A) & m1_group_9(D, A, B))  =>  (! [E] :  ( (v2_group_9(E, A) & m1_group_9(E, A, B))  =>  ( (v4_group_9(D, A, E) & m1_group_9(D, A, E))  =>  (v4_group_9(k17_group_9(A, B, C, D), A, k17_group_9(A, B, C, E)) & m1_group_9(k17_group_9(A, B, C, D), A, k17_group_9(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_group_9, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_funct_2(B, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_funct_2(B, B))))) )  => r1_group_9(A, B, C, k2_subset_1(B))) ) ) ) ).
fof(t62_group_9, axiom,  (! [A] :  (! [B] :  (v1_funct_1(k2_zfmisc_1(A, k1_tarski(k6_partfun1(B)))) &  (v1_funct_2(k2_zfmisc_1(A, k1_tarski(k6_partfun1(B))), A, k1_funct_2(B, B)) & m1_subset_1(k2_zfmisc_1(A, k1_tarski(k6_partfun1(B))), k1_zfmisc_1(k2_zfmisc_1(A, k1_funct_2(B, B))))) ) ) ) ).
fof(t63_group_9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_funct_2(B, B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_funct_2(B, B))))) )  => k2_group_9(A, B, D, k12_finseq_1(A, C))=k3_funct_2(A, k1_funct_2(B, B), D, C)) ) ) ) ) ) ) ).
fof(t64_group_9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k1_funct_2(B, B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_funct_2(B, B))))) )  => r2_funct_2(B, B, k2_group_9(A, B, E, k8_finseq_1(A, C, D)), k1_partfun1(B, B, B, B, k2_group_9(A, B, E, D), k2_group_9(A, B, E, C)))) ) ) ) ) ) ) ) ) ).
fof(t65_group_9, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_funct_2(B, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_funct_2(B, B))))) )  =>  (! [D] :  (m2_finseq_1(D, A) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(B)) =>  (r1_group_9(A, B, C, E) => r1_tarski(k7_relset_1(B, B, k2_group_9(A, B, C, D), E), E)) ) ) ) ) ) ) ) ) ).
fof(t66_group_9, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_funct_2(B, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_funct_2(B, B))))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) =>  (! [E] :  (m1_subset_1(E, B) =>  ( ~ (v1_xboole_0(D))  =>  (r2_tarski(E, k1_group_9(A, B, C, D)) <=>  (? [F] :  (m2_finseq_1(F, A) &  (? [G] :  (m1_subset_1(G, D) & k1_funct_1(k2_group_9(A, B, C, F), G)=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v15_algstr_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (? [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v2_group_9(C, A) &  (v3_group_9(C, A) & l1_group_9(C, A)) ) ) ) )  & B=g3_algstr_0(u1_struct_0(C), u2_algstr_0(C))) ) ) ) ) ).
fof(t68_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) =>  (v15_algstr_0(g3_algstr_0(u1_struct_0(C), u2_algstr_0(C))) & m1_group_2(g3_algstr_0(u1_struct_0(C), u2_algstr_0(C)), B)) ) ) ) ) ) ).
fof(t69_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v4_group_9(C, A, B) & m1_group_9(C, A, B))  =>  (v15_algstr_0(g3_algstr_0(u1_struct_0(C), u2_algstr_0(C))) &  (v1_group_3(g3_algstr_0(u1_struct_0(C), u2_algstr_0(C)), B) & m1_group_2(g3_algstr_0(u1_struct_0(C), u2_algstr_0(C)), B)) ) ) ) ) ) ) ).
fof(t70_group_9, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v3_group_9(C, A) & l1_group_9(C, A)) ) ) )  =>  (! [D] :  (m1_group_9(D, A, C) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (r1_struct_0(D, E) => r1_struct_0(D, k3_funct_2(u1_struct_0(C), u1_struct_0(C), k3_group_9(A, C, B), E))) ) ) ) ) ) ) ) ) ) ).
fof(t71_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v3_group_9(C, A) & l1_group_9(C, A)) ) ) )  =>  (! [D] :  ( (v2_group_9(D, A) & m1_group_9(D, A, B))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) &  (v1_group_6(E, B, C) &  (v7_group_9(E, A, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  (? [F] :  ( (v2_group_9(F, A) & m1_group_9(F, A, C))  & u1_struct_0(F)=k7_relset_1(u1_struct_0(B), u1_struct_0(C), E, u1_struct_0(D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t72_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (v1_xboole_0(C) => k18_group_9(A, B, C)=k4_group_9(A, B)) ) ) ) ) ) ).
fof(t73_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (C=u1_struct_0(k5_group_4(B, D)) => k18_group_9(A, B, D)=k18_group_9(A, B, C)) ) ) ) ) ) ) ) ).
fof(t74_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v4_group_9(C, A, B) & m1_group_9(C, A, B))  =>  (! [D] :  ( (v1_group_3(D, B) & m1_group_2(D, B))  =>  (D=g3_algstr_0(u1_struct_0(C), u2_algstr_0(C)) =>  (k5_group_6(B, D)=g3_algstr_0(u1_struct_0(k10_group_9(A, B, C)), u2_algstr_0(k10_group_9(A, B, C))) & k1_group_1(k5_group_6(B, D))=k1_group_1(k10_group_9(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t75_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) =>  (! [D] :  (m1_group_9(D, A, B) =>  (u1_struct_0(C)=u1_struct_0(D) => g1_group_9(A, u1_struct_0(C), u2_algstr_0(C), u1_group_9(A, C))=g1_group_9(A, u1_struct_0(D), u2_algstr_0(D), u1_group_9(A, D))) ) ) ) ) ) ) ) ).
fof(t76_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) =>  (! [D] :  ( (v4_group_9(D, A, C) & m1_group_9(D, A, C))  =>  (v7_struct_0(k10_group_9(A, C, D)) => g1_group_9(A, u1_struct_0(C), u2_algstr_0(C), u1_group_9(A, C))=g1_group_9(A, u1_struct_0(D), u2_algstr_0(D), u1_group_9(A, D))) ) ) ) ) ) ) ) ).
fof(t77_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) =>  (! [D] :  ( (v4_group_9(D, A, C) & m1_group_9(D, A, C))  =>  (u1_struct_0(C)=u1_struct_0(D) => v7_struct_0(k10_group_9(A, C, D))) ) ) ) ) ) ) ) ).
fof(t78_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v3_group_9(C, A) & l1_group_9(C, A)) ) ) )  =>  (! [D] :  (m1_group_9(D, A, B) =>  (! [E] :  ( (v2_group_9(E, A) & m1_group_9(E, A, C))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) &  (v1_group_6(F, B, C) &  (v7_group_9(F, A, B, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  ~ ( (D=k13_group_9(A, B, C, F) &  (! [G] :  ( (v2_group_9(G, A) & m1_group_9(G, A, B))  =>  ~ ( (u1_struct_0(G)=k8_relset_1(u1_struct_0(B), u1_struct_0(C), F, u1_struct_0(E)) &  (v4_group_9(E, A, C) =>  ( (v4_group_9(D, A, G) & m1_group_9(D, A, G))  & v4_group_9(G, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t79_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v3_group_9(C, A) & l1_group_9(C, A)) ) ) )  =>  (! [D] :  (m1_group_9(D, A, B) =>  (! [E] :  ( (v2_group_9(E, A) & m1_group_9(E, A, B))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) &  (v1_group_6(F, B, C) &  (v7_group_9(F, A, B, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  ~ ( (D=k13_group_9(A, B, C, F) &  (! [G] :  ( (v2_group_9(G, A) & m1_group_9(G, A, C))  =>  ~ ( (u1_struct_0(G)=k7_relset_1(u1_struct_0(B), u1_struct_0(C), F, u1_struct_0(E)) &  (k8_relset_1(u1_struct_0(B), u1_struct_0(C), F, u1_struct_0(G))=u1_struct_0(k19_group_9(A, B, E, D)) &  ( (v2_funct_2(F, u1_struct_0(C)) & v4_group_9(E, A, B))  => v4_group_9(G, A, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t80_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v2_group_9(B, A) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) ) )  =>  (! [C] :  ( (v2_group_9(C, A) &  (v4_group_9(C, A, B) & m1_group_9(C, A, B)) )  =>  (! [D] :  ( (v2_group_9(D, A) & m1_group_9(D, A, k10_group_9(A, B, C)))  =>  (u1_struct_0(B)=k8_relset_1(u1_struct_0(B), u1_struct_0(k10_group_9(A, B, C)), k12_group_9(A, B, C), u1_struct_0(D)) => D=k5_group_9(A, k10_group_9(A, B, C))) ) ) ) ) ) ) ) ).
fof(t81_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v2_group_9(B, A) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) ) )  =>  (! [C] :  ( (v2_group_9(C, A) &  (v4_group_9(C, A, B) & m1_group_9(C, A, B)) )  =>  (! [D] :  ( (v2_group_9(D, A) & m1_group_9(D, A, k10_group_9(A, B, C)))  =>  (u1_struct_0(C)=k8_relset_1(u1_struct_0(B), u1_struct_0(k10_group_9(A, B, C)), k12_group_9(A, B, C), u1_struct_0(D)) => D=k4_group_9(A, k10_group_9(A, B, C))) ) ) ) ) ) ) ) ).
fof(t82_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v2_group_9(B, A) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v2_group_9(C, A) &  (v3_group_9(C, A) & l1_group_9(C, A)) ) ) ) )  =>  ( (r3_group_9(A, B, C) & v6_group_9(B, A))  => v6_group_9(C, A)) ) ) ) ) ) ).
fof(t83_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(B)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(C)) =>  (! [F] :  (m2_finseq_1(F, k4_numbers) =>  ( (D=E & k3_finseq_1(D)=k3_finseq_1(F))  => k3_group_4(B, k4_group_4(B, F, D))=k3_group_4(C, k4_group_4(C, F, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t84_group_9, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_funct_2(B, B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_funct_2(B, B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k1_funct_2(C, C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_funct_2(C, C))))) )  =>  (! [F] :  (m2_finseq_1(F, A) =>  ( (r1_tarski(B, C) &  (! [G] :  (m1_subset_1(G, A) =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, B, B) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(B, B)))) )  =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, C, C) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(C, C)))) )  =>  ( (H=k1_funct_1(D, G) & I=k1_funct_1(E, G))  => H=k2_partfun1(C, C, I, B)) ) ) ) ) ) ) )  => k2_group_9(A, B, D, F)=k2_partfun1(C, C, k2_group_9(A, C, E, F), B)) ) ) ) ) ) ) ) ) ) ).
fof(t85_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) =>  (! [D] :  ( (v2_group_9(D, A) & m1_group_9(D, A, C))  =>  (! [E] :  ( (v2_group_9(E, A) & m1_group_9(E, A, C))  =>  (! [F] :  ( (v2_group_9(F, A) & m1_group_9(F, A, B))  =>  (! [G] :  ( (v2_group_9(G, A) & m1_group_9(G, A, B))  =>  ( (D=F & E=G)  => k16_group_9(A, B, F, G)=k16_group_9(A, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t86_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) =>  (! [D] :  ( (v2_group_9(D, A) & m1_group_9(D, A, C))  =>  (! [E] :  ( (v2_group_9(E, A) & m1_group_9(E, A, C))  =>  (! [F] :  ( (v2_group_9(F, A) & m1_group_9(F, A, B))  =>  (! [G] :  ( (v2_group_9(G, A) & m1_group_9(G, A, B))  =>  ( (D=F & E=G)  => k19_group_9(A, B, F, G)=k19_group_9(A, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t87_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) =>  (! [D] :  ( (v2_group_9(D, A) & m1_group_9(D, A, B))  =>  (! [E] :  ( (v2_group_9(E, A) & m1_group_9(E, A, B))  =>  ( ( (v4_group_9(D, A, C) & m1_group_9(D, A, C))  &  (v4_group_9(E, A, C) & m1_group_9(E, A, C)) )  =>  (v4_group_9(k19_group_9(A, B, D, E), A, C) & m1_group_9(k19_group_9(A, B, D, E), A, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t88_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v3_group_9(C, A) & l1_group_9(C, A)) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v2_group_1(D) &  (v3_group_1(D) &  (v3_group_9(D, A) & l1_group_9(D, A)) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) &  (v1_group_6(E, B, C) &  (v7_group_9(E, A, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(C), u1_struct_0(D)) &  (v1_group_6(F, C, D) &  (v7_group_9(F, A, C, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D))))) ) ) )  => u1_struct_0(k13_group_9(A, B, D, k11_group_9(A, B, C, D, E, F)))=k8_relset_1(u1_struct_0(B), u1_struct_0(C), E, u1_struct_0(k13_group_9(A, C, D, F)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t89_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v3_group_9(C, A) & l1_group_9(C, A)) ) ) )  =>  (! [D] :  (m1_group_9(D, A, B) =>  (! [E] :  (m1_group_9(E, A, C) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) &  (v1_group_6(F, B, C) &  (v7_group_9(F, A, B, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  ( (u1_struct_0(E)=k7_relset_1(u1_struct_0(B), u1_struct_0(C), F, u1_struct_0(D)) | u1_struct_0(D)=k8_relset_1(u1_struct_0(B), u1_struct_0(C), F, u1_struct_0(E)))  =>  (v1_funct_1(k2_partfun1(u1_struct_0(B), u1_struct_0(C), F, u1_struct_0(D))) &  (v1_funct_2(k2_partfun1(u1_struct_0(B), u1_struct_0(C), F, u1_struct_0(D)), u1_struct_0(D), u1_struct_0(E)) &  (v1_group_6(k2_partfun1(u1_struct_0(B), u1_struct_0(C), F, u1_struct_0(D)), D, E) &  (v7_group_9(k2_partfun1(u1_struct_0(B), u1_struct_0(C), F, u1_struct_0(D)), A, D, E) & m1_subset_1(k2_partfun1(u1_struct_0(B), u1_struct_0(C), F, u1_struct_0(D)), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t90_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v2_group_9(B, A) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v2_group_9(C, A) &  (v3_group_9(C, A) & l1_group_9(C, A)) ) ) ) )  =>  (! [D] :  ( (v2_group_9(D, A) & m1_group_9(D, A, B))  =>  (! [E] :  ( (v2_group_9(E, A) & m1_group_9(E, A, B))  =>  (! [F] :  ( (v2_group_9(F, A) & m1_group_9(F, A, B))  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(B), u1_struct_0(C)) &  (v1_group_6(G, B, C) &  (v7_group_9(G, A, B, C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  ( (D=k13_group_9(A, B, C, G) &  (v2_group_9(E, A) &  (v4_group_9(E, A, F) & m1_group_9(E, A, F)) ) )  =>  ( (v4_group_9(k19_group_9(A, B, E, k17_group_9(A, B, F, D)), A, F) & m1_group_9(k19_group_9(A, B, E, k17_group_9(A, B, F, D)), A, F))  &  ( (v4_group_9(k19_group_9(A, B, E, D), A, k19_group_9(A, B, F, D)) & m1_group_9(k19_group_9(A, B, E, D), A, k19_group_9(A, B, F, D)))  &  (! [H] :  ( (v2_group_9(H, A) &  (v4_group_9(H, A, k19_group_9(A, B, F, D)) & m1_group_9(H, A, k19_group_9(A, B, F, D))) )  =>  (! [I] :  ( (v2_group_9(I, A) &  (v4_group_9(I, A, F) & m1_group_9(I, A, F)) )  =>  ( (H=k19_group_9(A, B, E, D) & I=k19_group_9(A, B, E, k17_group_9(A, B, F, D)))  => r3_group_9(A, k10_group_9(A, k19_group_9(A, B, F, D), H), k10_group_9(A, F, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t91_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v2_group_9(C, A) & m1_group_9(C, A, B))  =>  (! [D] :  ( (v2_group_9(D, A) & m1_group_9(D, A, B))  =>  (! [E] :  ( (v2_group_9(E, A) & m1_group_9(E, A, B))  =>  (! [F] :  ( (v2_group_9(F, A) & m1_group_9(F, A, B))  =>  (! [G] :  ( (v4_group_9(G, A, k19_group_9(A, B, E, k17_group_9(A, B, C, D))) & m1_group_9(G, A, k19_group_9(A, B, E, k17_group_9(A, B, C, D))))  =>  (! [H] :  ( (v4_group_9(H, A, k17_group_9(A, B, C, D)) & m1_group_9(H, A, k17_group_9(A, B, C, D)))  =>  ( ( (v4_group_9(E, A, C) & m1_group_9(E, A, C))  &  ( (v4_group_9(F, A, D) & m1_group_9(F, A, D))  &  (G=k19_group_9(A, B, E, k17_group_9(A, B, C, F)) & H=k19_group_9(A, B, k17_group_9(A, B, E, D), k17_group_9(A, B, F, C))) ) )  => r3_group_9(A, k10_group_9(A, k19_group_9(A, B, E, k17_group_9(A, B, C, D)), G), k10_group_9(A, k17_group_9(A, B, C, D), H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t92_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v2_group_9(C, A) & m1_group_9(C, A, B))  =>  (! [D] :  ( (v2_group_9(D, A) & m1_group_9(D, A, B))  =>  (! [E] :  ( (v2_group_9(E, A) & m1_group_9(E, A, B))  =>  (! [F] :  ( (v2_group_9(F, A) & m1_group_9(F, A, B))  =>  ( ( (v4_group_9(E, A, C) & m1_group_9(E, A, C))  &  (v4_group_9(F, A, D) & m1_group_9(F, A, D)) )  =>  (v4_group_9(k19_group_9(A, B, E, k17_group_9(A, B, C, F)), A, k19_group_9(A, B, E, k17_group_9(A, B, C, D))) & m1_group_9(k19_group_9(A, B, E, k17_group_9(A, B, C, F)), A, k19_group_9(A, B, E, k17_group_9(A, B, C, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t93_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v2_group_9(C, A) & m1_group_9(C, A, B))  =>  (! [D] :  ( (v2_group_9(D, A) & m1_group_9(D, A, B))  =>  (! [E] :  ( (v2_group_9(E, A) & m1_group_9(E, A, B))  =>  (! [F] :  ( (v2_group_9(F, A) & m1_group_9(F, A, B))  =>  (! [G] :  ( (v4_group_9(G, A, k19_group_9(A, B, E, k17_group_9(A, B, C, D))) & m1_group_9(G, A, k19_group_9(A, B, E, k17_group_9(A, B, C, D))))  =>  (! [H] :  ( (v4_group_9(H, A, k19_group_9(A, B, F, k17_group_9(A, B, D, C))) & m1_group_9(H, A, k19_group_9(A, B, F, k17_group_9(A, B, D, C))))  =>  ( (G=k19_group_9(A, B, E, k17_group_9(A, B, C, F)) &  (H=k19_group_9(A, B, F, k17_group_9(A, B, D, E)) &  ( (v4_group_9(E, A, C) & m1_group_9(E, A, C))  &  (v4_group_9(F, A, D) & m1_group_9(F, A, D)) ) ) )  => r3_group_9(A, k10_group_9(A, k19_group_9(A, B, E, k17_group_9(A, B, C, D)), G), k10_group_9(A, k19_group_9(A, B, F, k17_group_9(A, B, D, C)), H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d28_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m2_finseq_1(C, k6_group_9(A, B)) =>  (v8_group_9(C, A, B) <=>  (k1_funct_1(C, 1)=k5_group_9(A, B) &  (k1_funct_1(C, k3_finseq_1(C))=k4_group_9(A, B) &  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(D, k4_finseq_1(C)) & r2_tarski(k1_nat_1(D, 1), k4_finseq_1(C)))  =>  (! [E] :  (m1_group_9(E, A, B) =>  (! [F] :  (m1_group_9(F, A, B) =>  ( (E=k1_funct_1(C, D) & F=k1_funct_1(C, k1_nat_1(D, 1)))  =>  (v4_group_9(F, A, E) & m1_group_9(F, A, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d29_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v8_group_9(C, A, B) & m2_finseq_1(C, k6_group_9(A, B)))  =>  (! [D] :  ( (v8_group_9(D, A, B) & m2_finseq_1(D, k6_group_9(A, B)))  =>  (r4_group_9(A, B, C, D) <=>  (? [E] :  (r1_tarski(E, k4_finseq_1(C)) & r2_relset_1(k4_ordinal1, k6_group_9(A, B), D, k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k6_group_9(A, B), k14_finseq_1(E), C))) ) ) ) ) ) ) ) ) ) ).
fof(d30_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v8_group_9(C, A, B) & m2_finseq_1(C, k6_group_9(A, B)))  =>  (v9_group_9(C, A, B) <=>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(D, k4_finseq_1(C)) & r2_tarski(k1_nat_1(D, 1), k4_finseq_1(C)))  =>  (! [E] :  (m1_group_9(E, A, B) =>  (! [F] :  ( (v4_group_9(F, A, E) & m1_group_9(F, A, E))  =>  ~ ( (E=k1_funct_1(C, D) &  (F=k1_funct_1(C, k1_nat_1(D, 1)) & v7_struct_0(k10_group_9(A, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d31_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v8_group_9(C, A, B) & m2_finseq_1(C, k6_group_9(A, B)))  =>  (v10_group_9(C, A, B) <=>  (v9_group_9(C, A, B) &  (! [D] :  ( (v8_group_9(D, A, B) & m2_finseq_1(D, k6_group_9(A, B)))  =>  ~ ( ( ~ (D=C)  &  (v9_group_9(D, A, B) & r4_group_9(A, B, D, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d32_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v3_group_9(C, A) & l1_group_9(C, A)) ) ) )  =>  (! [D] :  ( (v8_group_9(D, A, B) & m2_finseq_1(D, k6_group_9(A, B)))  =>  (! [E] :  ( (v8_group_9(E, A, C) & m2_finseq_1(E, k6_group_9(A, C)))  =>  (r5_group_9(A, B, C, D, E) <=>  (k3_finseq_1(D)=k3_finseq_1(E) &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (k1_nat_1(F, 1)=k3_finseq_1(D) &  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_finseq_1(F), k2_finseq_1(F)) &  (v3_funct_2(G, k2_finseq_1(F), k2_finseq_1(F)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(F), k2_finseq_1(F))))) ) )  =>  (? [H] :  (m1_group_9(H, A, B) &  (? [I] :  (m1_group_9(I, A, C) &  (? [J] :  ( (v4_group_9(J, A, H) & m1_group_9(J, A, H))  &  (? [K] :  ( (v4_group_9(K, A, I) & m1_group_9(K, A, I))  &  (? [L] :  (v7_ordinal1(L) &  (? [M] :  (v7_ordinal1(M) &  (r1_xxreal_0(1, L) &  (r1_xxreal_0(L, F) &  (M=k1_funct_1(G, L) &  (H=k1_funct_1(D, L) &  (I=k1_funct_1(E, M) &  (J=k1_funct_1(D, k1_nat_1(L, 1)) &  (K=k1_funct_1(E, k1_nat_1(M, 1)) &  ~ (r3_group_9(A, k10_group_9(A, H, J), k10_group_9(A, I, K))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d33_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v8_group_9(C, A, B) & m2_finseq_1(C, k6_group_9(A, B)))  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  ( ( ~ (r1_xxreal_0(k3_finseq_1(C), 1))  =>  (D=k20_group_9(A, B, C) <=>  (k3_finseq_1(C)=k1_nat_1(k3_finseq_1(D), 1) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) =>  (! [F] :  (m1_group_9(F, A, B) =>  (! [G] :  ( (v4_group_9(G, A, F) & m1_group_9(G, A, F))  =>  ( (F=k1_funct_1(C, E) & G=k1_funct_1(C, k1_nat_1(E, 1)))  => k1_funct_1(D, E)=k10_group_9(A, F, G)) ) ) ) ) ) ) ) ) ) )  &  (r1_xxreal_0(k3_finseq_1(C), 1) =>  (D=k20_group_9(A, B, C) <=> D=k1_xboole_0) ) ) ) ) ) ) ) ) ) ).
fof(d34_group_9, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_1(B), k4_finseq_1(B)) &  (v3_funct_2(D, k4_finseq_1(B), k4_finseq_1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(B), k4_finseq_1(B))))) ) )  =>  (r6_group_9(A, B, C, D) <=>  (k3_finseq_1(B)=k3_finseq_1(C) &  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v2_group_1(E) &  (v3_group_1(E) &  (v3_group_9(E, A) & l1_group_9(E, A)) ) ) )  =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v2_group_1(F) &  (v3_group_1(F) &  (v3_group_9(F, A) & l1_group_9(F, A)) ) ) )  =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (v7_ordinal1(H) =>  ( (r2_tarski(G, k4_finseq_1(B)) &  (H=k1_funct_1(k2_funct_2(k4_finseq_1(B), D), G) &  (E=k1_funct_1(B, G) & F=k1_funct_1(C, H)) ) )  => r3_group_9(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t94_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v8_group_9(C, A, B) & m2_finseq_1(C, k6_group_9(A, B)))  =>  (! [D] :  (m2_finseq_1(D, k6_group_9(A, B)) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(E, k4_finseq_1(C)) &  (r2_tarski(k1_nat_1(E, 1), k4_finseq_1(C)) &  (k1_funct_1(C, E)=k1_funct_1(C, k1_nat_1(E, 1)) & D=k2_finseq_3(E, C)) ) )  => v8_group_9(D, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t95_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v8_group_9(C, A, B) & m2_finseq_1(C, k6_group_9(A, B)))  =>  (! [D] :  ( (v8_group_9(D, A, B) & m2_finseq_1(D, k6_group_9(A, B)))  =>  ~ ( (r4_group_9(A, B, C, D) &  (! [E] :  (v7_ordinal1(E) =>  ~ (k3_finseq_1(C)=k2_xcmplx_0(k3_finseq_1(D), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t96_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v8_group_9(C, A, B) & m2_finseq_1(C, k6_group_9(A, B)))  =>  (! [D] :  ( (v8_group_9(D, A, B) & m2_finseq_1(D, k6_group_9(A, B)))  =>  ( (k3_finseq_1(D)=k3_finseq_1(C) & r4_group_9(A, B, D, C))  => C=D) ) ) ) ) ) ) ) ).
fof(t97_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v8_group_9(C, A, B) & m2_finseq_1(C, k6_group_9(A, B)))  =>  (! [D] :  ( (v8_group_9(D, A, B) & m2_finseq_1(D, k6_group_9(A, B)))  =>  ~ ( ( ~ (v1_xboole_0(C))  &  (r4_group_9(A, B, D, C) & v1_xboole_0(D)) ) ) ) ) ) ) ) ) ) ).
fof(t98_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v8_group_9(C, A, B) & m2_finseq_1(C, k6_group_9(A, B)))  =>  (! [D] :  ( (v8_group_9(D, A, B) & m2_finseq_1(D, k6_group_9(A, B)))  =>  ( (r4_group_9(A, B, C, D) &  (v10_group_9(C, A, B) & v10_group_9(D, A, B)) )  => C=D) ) ) ) ) ) ) ) ).
fof(t99_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v8_group_9(C, A, B) & m2_finseq_1(C, k6_group_9(A, B)))  =>  (! [D] :  ( (v8_group_9(D, A, B) & m2_finseq_1(D, k6_group_9(A, B)))  =>  (! [E] :  ( (v8_group_9(E, A, B) & m2_finseq_1(E, k6_group_9(A, B)))  =>  (! [F] :  (v7_ordinal1(F) =>  ( (r2_tarski(F, k4_finseq_1(C)) &  (r2_tarski(k1_nat_1(F, 1), k4_finseq_1(C)) &  (k1_funct_1(C, F)=k1_funct_1(C, k1_nat_1(F, 1)) &  (D=k2_finseq_3(F, C) &  (v10_group_9(E, A, B) & r4_group_9(A, B, C, E)) ) ) ) )  => r4_group_9(A, B, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t100_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v8_group_9(C, A, B) & m2_finseq_1(C, k6_group_9(A, B)))  =>  (! [D] :  ( (v8_group_9(D, A, B) & m2_finseq_1(D, k6_group_9(A, B)))  =>  ~ ( ( ~ (r1_xxreal_0(k3_finseq_1(C), 1))  &  ( ~ (D=C)  &  (v9_group_9(D, A, B) &  (r4_group_9(A, B, D, C) &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r2_tarski(E, k4_finseq_1(C)) &  (r2_tarski(E, k4_finseq_1(D)) &  (r2_tarski(k1_nat_1(E, 1), k4_finseq_1(C)) &  (r2_tarski(k1_nat_1(E, 1), k4_finseq_1(D)) &  (r2_tarski(F, k4_finseq_1(D)) &  ( ~ (r1_xxreal_0(F, k1_nat_1(E, 1)))  &  (k1_funct_1(C, E)=k1_funct_1(D, E) &  ( ~ (k1_funct_1(C, k1_nat_1(E, 1))=k1_funct_1(D, k1_nat_1(E, 1)))  & k1_funct_1(C, k1_nat_1(E, 1))=k1_funct_1(D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t101_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) =>  (! [D] :  (m1_group_9(D, A, B) =>  (! [E] :  ( (v8_group_9(E, A, B) & m2_finseq_1(E, k6_group_9(A, B)))  =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ( (r2_tarski(F, k4_finseq_1(E)) &  (r2_tarski(G, k4_finseq_1(E)) &  (r1_xxreal_0(F, G) &  (C=k1_funct_1(E, F) & D=k1_funct_1(E, G)) ) ) )  => m1_group_9(D, A, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t102_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (! [D] :  ( (v8_group_9(D, A, B) & m2_finseq_1(D, k6_group_9(A, B)))  =>  (r2_tarski(C, k10_xtuple_0(k20_group_9(A, B, D))) =>  ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v2_group_9(C, A) &  (v3_group_9(C, A) & l1_group_9(C, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t103_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v8_group_9(C, A, B) & m2_finseq_1(C, k6_group_9(A, B)))  =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(D, k4_finseq_1(k20_group_9(A, B, C))) &  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v2_group_1(E) &  (v3_group_1(E) &  (v3_group_9(E, A) & l1_group_9(E, A)) ) ) )  =>  (E=k1_funct_1(k20_group_9(A, B, C), D) => v7_struct_0(E)) ) ) )  =>  (r2_tarski(D, k4_finseq_1(C)) &  (r2_tarski(k1_nat_1(D, 1), k4_finseq_1(C)) & k1_funct_1(C, D)=k1_funct_1(C, k1_nat_1(D, 1))) ) ) ) ) ) ) ) ) ) ).
fof(t104_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v8_group_9(C, A, B) & m2_finseq_1(C, k6_group_9(A, B)))  =>  (! [D] :  ( (v8_group_9(D, A, B) & m2_finseq_1(D, k6_group_9(A, B)))  =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(E, k4_finseq_1(C)) &  (r2_tarski(k1_nat_1(E, 1), k4_finseq_1(C)) &  (k1_funct_1(C, E)=k1_funct_1(C, k1_nat_1(E, 1)) & D=k2_finseq_3(E, C)) ) )  => k20_group_9(A, B, D)=k2_finseq_3(E, k20_group_9(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t105_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v8_group_9(C, A, B) & m2_finseq_1(C, k6_group_9(A, B)))  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (! [E] :  (v7_ordinal1(E) =>  ( (D=k20_group_9(A, B, C) &  (r2_tarski(E, k4_finseq_1(D)) &  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v2_group_1(F) &  (v3_group_1(F) &  (v3_group_9(F, A) & l1_group_9(F, A)) ) ) )  =>  (F=k1_funct_1(D, E) => v7_struct_0(F)) ) ) ) )  =>  ( (v8_group_9(k2_finseq_3(E, C), A, B) & m2_finseq_1(k2_finseq_3(E, C), k6_group_9(A, B)))  &  (! [F] :  ( (v8_group_9(F, A, B) & m2_finseq_1(F, k6_group_9(A, B)))  =>  (F=k2_finseq_3(E, C) => k20_group_9(A, B, F)=k2_finseq_3(E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t106_group_9, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_tarski(D, k4_finseq_1(B)) &  ( (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_finseq_1(B), k4_finseq_1(B)) &  (v3_funct_2(F, k4_finseq_1(B), k4_finseq_1(B)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(B), k4_finseq_1(B))))) ) )  &  (r6_group_9(A, B, C, F) & E=k1_funct_1(k2_funct_2(k4_finseq_1(B), F), D)) ) )  &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_finseq_1(k2_finseq_3(D, B)), k4_finseq_1(k2_finseq_3(D, B))) &  (v3_funct_2(F, k4_finseq_1(k2_finseq_3(D, B)), k4_finseq_1(k2_finseq_3(D, B))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(k2_finseq_3(D, B)), k4_finseq_1(k2_finseq_3(D, B)))))) ) )  =>  ~ (r6_group_9(A, k2_finseq_3(D, B), k2_finseq_3(E, C), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t107_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v3_group_9(C, A) & l1_group_9(C, A)) ) ) )  =>  (! [D] :  ( (v8_group_9(D, A, B) & m2_finseq_1(D, k6_group_9(A, B)))  =>  (! [E] :  ( (v8_group_9(E, A, C) & m2_finseq_1(E, k6_group_9(A, C)))  =>  ( (v1_xboole_0(D) & v1_xboole_0(E))  => r5_group_9(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(t108_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v3_group_9(C, A) & l1_group_9(C, A)) ) ) )  =>  (! [D] :  ( (v8_group_9(D, A, B) & m2_finseq_1(D, k6_group_9(A, B)))  =>  (! [E] :  ( (v8_group_9(E, A, C) & m2_finseq_1(E, k6_group_9(A, C)))  =>  ~ ( ( ~ (v1_xboole_0(D))  &  ( ~ (v1_xboole_0(E))  &  ~ ( (r5_group_9(A, B, C, D, E) <=>  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_finseq_1(k20_group_9(A, B, D)), k4_finseq_1(k20_group_9(A, B, D))) &  (v3_funct_2(F, k4_finseq_1(k20_group_9(A, B, D)), k4_finseq_1(k20_group_9(A, B, D))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(k20_group_9(A, B, D)), k4_finseq_1(k20_group_9(A, B, D)))))) ) )  & r6_group_9(A, k20_group_9(A, B, D), k20_group_9(A, C, E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t109_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v8_group_9(C, A, B) & m2_finseq_1(C, k6_group_9(A, B)))  =>  (! [D] :  ( (v8_group_9(D, A, B) & m2_finseq_1(D, k6_group_9(A, B)))  =>  ~ ( (r4_group_9(A, B, C, D) &  (v10_group_9(D, A, B) &  ( ~ (r1_xxreal_0(k3_finseq_1(C), k3_finseq_1(D)))  &  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_tarski(E, k4_finseq_1(k20_group_9(A, B, C))) &  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v2_group_1(F) &  (v3_group_1(F) &  (v3_group_9(F, A) & l1_group_9(F, A)) ) ) )  =>  (F=k1_funct_1(k20_group_9(A, B, C), E) => v7_struct_0(F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t110_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v8_group_9(C, A, B) & m2_finseq_1(C, k6_group_9(A, B)))  =>  ( ~ (r1_xxreal_0(k3_finseq_1(C), 1))  =>  (v10_group_9(C, A, B) <=>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(k20_group_9(A, B, C))) =>  ( ~ (v2_struct_0(k1_funct_1(k20_group_9(A, B, C), D)))  &  (v2_group_1(k1_funct_1(k20_group_9(A, B, C), D)) &  (v3_group_1(k1_funct_1(k20_group_9(A, B, C), D)) &  (v2_group_9(k1_funct_1(k20_group_9(A, B, C), D), A) &  (v3_group_9(k1_funct_1(k20_group_9(A, B, C), D), A) &  (v6_group_9(k1_funct_1(k20_group_9(A, B, C), D), A) & l1_group_9(k1_funct_1(k20_group_9(A, B, C), D), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t111_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v8_group_9(C, A, B) & m2_finseq_1(C, k6_group_9(A, B)))  =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, k6_xcmplx_0(k3_finseq_1(C), 1)))  =>  ( (v2_group_9(k1_funct_1(C, D), A) & m1_group_9(k1_funct_1(C, D), A, B))  &  (v2_group_9(k1_funct_1(C, k1_nat_1(D, 1)), A) & m1_group_9(k1_funct_1(C, k1_nat_1(D, 1)), A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t112_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) =>  (! [D] :  (m1_group_9(D, A, B) =>  (! [E] :  ( (v8_group_9(E, A, B) & m2_finseq_1(E, k6_group_9(A, B)))  =>  (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(1, F) &  (r1_xxreal_0(F, k6_xcmplx_0(k3_finseq_1(E), 1)) &  (C=k1_funct_1(E, F) & D=k1_funct_1(E, k1_nat_1(F, 1))) ) )  =>  (v4_group_9(D, A, C) & m1_group_9(D, A, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t113_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v8_group_9(C, A, B) & m2_finseq_1(C, k6_group_9(A, B)))  => r5_group_9(A, B, B, C, C)) ) ) ) ) ).
fof(t114_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v8_group_9(C, A, B) & m2_finseq_1(C, k6_group_9(A, B)))  =>  (! [D] :  ( (v8_group_9(D, A, B) & m2_finseq_1(D, k6_group_9(A, B)))  =>  (r1_xxreal_0(k3_finseq_1(C), k3_finseq_1(D)) =>  ( ( ~ (r1_xxreal_0(k3_finseq_1(C), 1))  &  ~ (r1_xxreal_0(k3_finseq_1(D), 1)) )  | r4_group_9(A, B, D, C)) ) ) ) ) ) ) ) ) ).
fof(t115_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v8_group_9(C, A, B) & m2_finseq_1(C, k6_group_9(A, B)))  =>  (! [D] :  ( (v8_group_9(D, A, B) & m2_finseq_1(D, k6_group_9(A, B)))  =>  ( (r5_group_9(A, B, B, C, D) & v10_group_9(C, A, B))  => v10_group_9(D, A, B)) ) ) ) ) ) ) ) ).
fof(d35_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v8_group_9(C, A, B) & m2_finseq_1(C, k6_group_9(A, B)))  =>  (! [D] :  ( (v8_group_9(D, A, B) & m2_finseq_1(D, k6_group_9(A, B)))  =>  ~ ( ( ~ (r1_xxreal_0(k3_finseq_1(C), 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(D), 1))  &  ~ ( (! [E] :  ( (v8_group_9(E, A, B) & m2_finseq_1(E, k6_group_9(A, B)))  =>  (E=k21_group_9(A, B, C, D) <=>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (v7_ordinal1(H) =>  (! [I] :  (m1_group_9(I, A, B) =>  (! [J] :  (m1_group_9(J, A, B) =>  (! [K] :  (m1_group_9(K, A, B) =>  ( ( (F=k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(G, 1), k6_xcmplx_0(k3_finseq_1(D), 1)), H) &  (r1_xxreal_0(1, G) &  (r1_xxreal_0(G, k6_xcmplx_0(k3_finseq_1(C), 1)) &  (r1_xxreal_0(1, H) &  (r1_xxreal_0(H, k6_xcmplx_0(k3_finseq_1(D), 1)) &  (I=k1_funct_1(C, k1_nat_1(G, 1)) &  (J=k1_funct_1(C, G) & K=k1_funct_1(D, H)) ) ) ) ) ) )  => k1_funct_1(E, F)=k19_group_9(A, B, I, k17_group_9(A, B, J, K)))  &  ( (F=k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(k3_finseq_1(C), 1), k6_xcmplx_0(k3_finseq_1(D), 1)), 1) => k1_funct_1(E, F)=k4_group_9(A, B))  & k3_finseq_1(E)=k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(k3_finseq_1(C), 1), k6_xcmplx_0(k3_finseq_1(D), 1)), 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t116_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v8_group_9(C, A, B) & m2_finseq_1(C, k6_group_9(A, B)))  =>  (! [D] :  ( (v8_group_9(D, A, B) & m2_finseq_1(D, k6_group_9(A, B)))  =>  ~ ( ( ~ (r1_xxreal_0(k3_finseq_1(C), 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(D), 1))  &  ~ (r4_group_9(A, B, k21_group_9(A, B, C, D), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t117_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v8_group_9(C, A, B) & m2_finseq_1(C, k6_group_9(A, B)))  =>  (! [D] :  ( (v8_group_9(D, A, B) & m2_finseq_1(D, k6_group_9(A, B)))  =>  ~ ( ( ~ (r1_xxreal_0(k3_finseq_1(C), 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(D), 1))  &  ~ (r5_group_9(A, B, B, k21_group_9(A, B, C, D), k21_group_9(A, B, D, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t118_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v8_group_9(C, A, B) & m2_finseq_1(C, k6_group_9(A, B)))  =>  (! [D] :  ( (v8_group_9(D, A, B) & m2_finseq_1(D, k6_group_9(A, B)))  =>  (? [E] :  ( (v8_group_9(E, A, B) & m2_finseq_1(E, k6_group_9(A, B)))  &  (? [F] :  ( (v8_group_9(F, A, B) & m2_finseq_1(F, k6_group_9(A, B)))  &  (r4_group_9(A, B, E, C) &  (r4_group_9(A, B, F, D) & r5_group_9(A, B, B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t119_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v8_group_9(C, A, B) & m2_finseq_1(C, k6_group_9(A, B)))  =>  (! [D] :  ( (v8_group_9(D, A, B) & m2_finseq_1(D, k6_group_9(A, B)))  =>  ( (v10_group_9(C, A, B) & v10_group_9(D, A, B))  => r5_group_9(A, B, B, C, D)) ) ) ) ) ) ) ) ).
fof(t120_group_9, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (A=k6_relat_1(k10_xtuple_0(A), B) <=> k2_relat_1(A)=k5_relat_1(k2_relat_1(B), k9_xtuple_0(k2_relat_1(A)))) ) ) ) ) ).
fof(t121_group_9, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v1_relat_1(C) => k3_relat_1(B, k5_relat_1(C, A))=k3_relat_1(k6_relat_1(A, B), C)) ) ) ) ) ).
fof(t122_group_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k2_finseq_1(A)) &  (r1_tarski(B, k1_relset_1(k1_numbers, C)) &  (v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, B)) & r1_tarski(k7_relset_1(k1_numbers, k1_numbers, C, B), k6_subset_1(k4_ordinal1, k1_tarski(k5_numbers)))) ) )  => k14_finseq_1(k7_relset_1(k1_numbers, k1_numbers, C, B))=k1_partfun1(k4_ordinal1, k4_ordinal1, k1_numbers, k1_numbers, k14_finseq_1(B), C)) ) ) ) ) ) ).
fof(t123_group_9, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_tarski(A, k2_finseq_1(k1_nat_1(C, 1))) &  (r2_tarski(B, k2_finseq_1(k1_nat_1(C, 1))) &  ( ~ (r2_tarski(B, A))  &  (! [D] :  ~ ( (k14_finseq_1(D)=k3_relat_1(k14_finseq_1(A), k2_funct_1(k14_finseq_1(k7_subset_1(k4_ordinal1, k2_finseq_1(k1_nat_1(C, 1)), k1_tarski(B))))) & r1_tarski(D, k2_finseq_1(C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t124_group_9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(B)) => B=k2_finseq_3(k1_nat_1(D, 1), k5_finseq_5(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t125_group_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(B)) =>  (! [E] :  (m2_finseq_1(E, k4_numbers) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(F, A, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  ( ( (! [G] :  (v7_ordinal1(G) =>  (r2_tarski(G, k4_finseq_1(C)) => k1_funct_1(D, G)=k1_funct_1(F, k1_funct_1(C, G))) ) )  &  (k3_finseq_1(C)=k3_finseq_1(E) & k3_finseq_1(D)=k3_finseq_1(E)) )  => k3_funct_2(u1_struct_0(A), u1_struct_0(B), F, k3_group_4(A, k4_group_4(A, E, C)))=k3_group_4(B, k4_group_4(B, E, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_group_9, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_funct_2(B, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_funct_2(B, B))))) )  & m1_subset_1(D, k1_zfmisc_1(B)))  => m1_subset_1(k1_group_9(A, B, C, D), k1_zfmisc_1(B))) ) ).
fof(dt_k2_group_9, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_funct_2(B, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_funct_2(B, B))))) )  & m1_finseq_1(D, A))  =>  (v1_funct_1(k2_group_9(A, B, C, D)) &  (v1_funct_2(k2_group_9(A, B, C, D), B, B) & m1_subset_1(k2_group_9(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) ) ) ).
fof(abstractness_v2_group_9, axiom,  (! [A, B] :  (l1_group_9(B, A) =>  (v2_group_9(B, A) => B=g1_group_9(A, u1_struct_0(B), u2_algstr_0(B), u1_group_9(A, B))) ) ) ).
fof(dt_l1_group_9, axiom,  (! [A] :  (! [B] :  (l1_group_9(B, A) => l3_algstr_0(B)) ) ) ).
fof(existence_l1_group_9, axiom,  (! [A] :  (? [B] : l1_group_9(B, A)) ) ).
fof(dt_g1_group_9, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_funct_2(B, B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_funct_2(B, B))))) ) )  =>  (v2_group_9(g1_group_9(A, B, C, D), A) & l1_group_9(g1_group_9(A, B, C, D), A)) ) ) ).
fof(free_g1_group_9, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_funct_2(B, B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_funct_2(B, B))))) ) )  =>  (! [E, F, G, H] :  (g1_group_9(A, B, C, D)=g1_group_9(E, F, G, H) =>  (A=E &  (B=F &  (C=G & D=H) ) ) ) ) ) ) ).
fof(dt_u1_group_9, axiom,  (! [A, B] :  (l1_group_9(B, A) =>  (v1_funct_1(u1_group_9(A, B)) &  (v1_funct_2(u1_group_9(A, B), A, k1_funct_2(u1_struct_0(B), u1_struct_0(B))) & m1_subset_1(u1_group_9(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k1_funct_2(u1_struct_0(B), u1_struct_0(B)))))) ) ) ) ).
fof(dt_k3_group_9, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  & m1_subset_1(C, A))  =>  (v1_funct_1(k3_group_9(A, B, C)) &  (v1_funct_2(k3_group_9(A, B, C), u1_struct_0(B), u1_struct_0(B)) &  (v1_group_6(k3_group_9(A, B, C), B, B) & m1_subset_1(k3_group_9(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))))) ) ) ) ) ).
fof(dt_m1_group_9, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_group_9(C, A, B) =>  ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v3_group_9(C, A) & l1_group_9(C, A)) ) ) ) ) ) ) ) ).
fof(existence_m1_group_9, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (? [C] : m1_group_9(C, A, B)) ) ) ).
fof(dt_k4_group_9, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (v2_group_9(k4_group_9(A, B), A) & m1_group_9(k4_group_9(A, B), A, B)) ) ) ).
fof(dt_k5_group_9, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (v2_group_9(k5_group_9(A, B), A) & m1_group_9(k5_group_9(A, B), A, B)) ) ) ).
fof(dt_k8_group_9, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  &  (v4_group_9(C, A, B) & m1_group_9(C, A, B)) )  =>  (v1_funct_1(k8_group_9(A, B, C)) &  (v1_funct_2(k8_group_9(A, B, C), k2_zfmisc_1(k7_group_9(A, B, C), k7_group_9(A, B, C)), k7_group_9(A, B, C)) & m1_subset_1(k8_group_9(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k7_group_9(A, B, C), k7_group_9(A, B, C)), k7_group_9(A, B, C))))) ) ) ) ).
fof(dt_k9_group_9, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  &  (v4_group_9(C, A, B) & m1_group_9(C, A, B)) )  =>  (v1_funct_1(k9_group_9(A, B, C)) &  (v1_funct_2(k9_group_9(A, B, C), A, k1_funct_2(k7_group_9(A, B, C), k7_group_9(A, B, C))) & m1_subset_1(k9_group_9(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k1_funct_2(k7_group_9(A, B, C), k7_group_9(A, B, C)))))) ) ) ) ).
fof(dt_k10_group_9, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  &  (v4_group_9(C, A, B) & m1_group_9(C, A, B)) )  => l1_group_9(k10_group_9(A, B, C), A)) ) ).
fof(dt_k11_group_9, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v3_group_9(C, A) & l1_group_9(C, A)) ) ) )  &  ( ( ~ (v2_struct_0(D))  &  (v2_group_1(D) &  (v3_group_1(D) &  (v3_group_9(D, A) & l1_group_9(D, A)) ) ) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) &  (v1_group_6(E, B, C) &  (v7_group_9(E, A, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  &  (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(C), u1_struct_0(D)) &  (v1_group_6(F, C, D) &  (v7_group_9(F, A, C, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D))))) ) ) ) ) ) ) )  =>  (v1_funct_1(k11_group_9(A, B, C, D, E, F)) &  (v1_funct_2(k11_group_9(A, B, C, D, E, F), u1_struct_0(B), u1_struct_0(D)) &  (v1_group_6(k11_group_9(A, B, C, D, E, F), B, D) &  (v7_group_9(k11_group_9(A, B, C, D, E, F), A, B, D) & m1_subset_1(k11_group_9(A, B, C, D, E, F), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(D))))) ) ) ) ) ) ).
fof(redefinition_k11_group_9, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v3_group_9(C, A) & l1_group_9(C, A)) ) ) )  &  ( ( ~ (v2_struct_0(D))  &  (v2_group_1(D) &  (v3_group_1(D) &  (v3_group_9(D, A) & l1_group_9(D, A)) ) ) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) &  (v1_group_6(E, B, C) &  (v7_group_9(E, A, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  &  (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(C), u1_struct_0(D)) &  (v1_group_6(F, C, D) &  (v7_group_9(F, A, C, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D))))) ) ) ) ) ) ) )  => k11_group_9(A, B, C, D, E, F)=k3_relat_1(E, F)) ) ).
fof(reflexivity_r2_group_9, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  &  ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v3_group_9(C, A) & l1_group_9(C, A)) ) ) ) )  => r2_group_9(A, B, B)) ) ).
fof(symmetry_r3_group_9, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  &  ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v3_group_9(C, A) & l1_group_9(C, A)) ) ) ) )  =>  (r3_group_9(A, B, C) => r3_group_9(A, C, B)) ) ) ).
fof(reflexivity_r3_group_9, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  &  ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v3_group_9(C, A) & l1_group_9(C, A)) ) ) ) )  => r3_group_9(A, B, B)) ) ).
fof(redefinition_r3_group_9, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  &  ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v3_group_9(C, A) & l1_group_9(C, A)) ) ) ) )  =>  (r3_group_9(A, B, C) <=> r2_group_9(A, B, C)) ) ) ).
fof(dt_k12_group_9, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  &  (v4_group_9(C, A, B) & m1_group_9(C, A, B)) )  =>  (v1_funct_1(k12_group_9(A, B, C)) &  (v1_funct_2(k12_group_9(A, B, C), u1_struct_0(B), u1_struct_0(k10_group_9(A, B, C))) &  (v1_group_6(k12_group_9(A, B, C), B, k10_group_9(A, B, C)) &  (v7_group_9(k12_group_9(A, B, C), A, B, k10_group_9(A, B, C)) & m1_subset_1(k12_group_9(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(k10_group_9(A, B, C)))))) ) ) ) ) ) ).
fof(dt_k13_group_9, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v3_group_9(C, A) & l1_group_9(C, A)) ) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v1_group_6(D, B, C) &  (v7_group_9(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) ) )  =>  (v2_group_9(k13_group_9(A, B, C, D), A) & m1_group_9(k13_group_9(A, B, C, D), A, B)) ) ) ).
fof(dt_k14_group_9, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v3_group_9(C, A) & l1_group_9(C, A)) ) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v1_group_6(D, B, C) &  (v7_group_9(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) ) )  =>  (v2_group_9(k14_group_9(A, B, C, D), A) & m1_group_9(k14_group_9(A, B, C, D), A, C)) ) ) ).
fof(dt_k15_group_9, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  & m1_group_9(C, A, B))  => m1_subset_1(k15_group_9(A, B, C), k1_zfmisc_1(u1_struct_0(B)))) ) ).
fof(dt_k16_group_9, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  &  (m1_group_9(C, A, B) & m1_group_9(D, A, B)) )  => m1_subset_1(k16_group_9(A, B, C, D), k1_zfmisc_1(u1_struct_0(B)))) ) ).
fof(dt_k17_group_9, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  &  (m1_group_9(C, A, B) & m1_group_9(D, A, B)) )  =>  (v2_group_9(k17_group_9(A, B, C, D), A) & m1_group_9(k17_group_9(A, B, C, D), A, B)) ) ) ).
fof(commutativity_k17_group_9, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  &  (m1_group_9(C, A, B) & m1_group_9(D, A, B)) )  => k17_group_9(A, B, C, D)=k17_group_9(A, B, D, C)) ) ).
fof(dt_k18_group_9, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (v2_group_9(k18_group_9(A, B, C), A) & m1_group_9(k18_group_9(A, B, C), A, B)) ) ) ).
fof(dt_k19_group_9, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  &  (m1_group_9(C, A, B) & m1_group_9(D, A, B)) )  =>  (v2_group_9(k19_group_9(A, B, C, D), A) & m1_group_9(k19_group_9(A, B, C, D), A, B)) ) ) ).
fof(dt_f2_s1_group_9, axiom,  ( ~ (v2_struct_0(f2_s1_group_9))  &  (v2_group_1(f2_s1_group_9) &  (v3_group_1(f2_s1_group_9) &  (v3_group_9(f2_s1_group_9, f1_s1_group_9) & l1_group_9(f2_s1_group_9, f1_s1_group_9)) ) ) ) ).
fof(reflexivity_r4_group_9, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  &  ( (v8_group_9(C, A, B) & m1_finseq_1(C, k6_group_9(A, B)))  &  (v8_group_9(D, A, B) & m1_finseq_1(D, k6_group_9(A, B))) ) )  => r4_group_9(A, B, C, C)) ) ).
fof(dt_k20_group_9, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  &  (v8_group_9(C, A, B) & m1_finseq_1(C, k6_group_9(A, B))) )  =>  (v1_relat_1(k20_group_9(A, B, C)) &  (v1_funct_1(k20_group_9(A, B, C)) & v1_finseq_1(k20_group_9(A, B, C))) ) ) ) ).
fof(dt_k21_group_9, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  &  ( (v8_group_9(C, A, B) & m1_finseq_1(C, k6_group_9(A, B)))  &  (v8_group_9(D, A, B) & m1_finseq_1(D, k6_group_9(A, B))) ) )  =>  (v8_group_9(k21_group_9(A, B, C, D), A, B) & m2_finseq_1(k21_group_9(A, B, C, D), k6_group_9(A, B))) ) ) ).
fof(d16_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( (v4_group_9(C, A, B) & m1_group_9(C, A, B))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_funct_2(k7_group_9(A, B, C), k7_group_9(A, B, C))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_funct_2(k7_group_9(A, B, C), k7_group_9(A, B, C)))))) )  =>  ( ( ~ (v1_xboole_0(A))  =>  (D=k9_group_9(A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) => k1_funct_1(D, E)=a_4_0_group_9(A, B, C, E)) ) ) )  &  (v1_xboole_0(A) =>  (D=k9_group_9(A, B, C) <=> D=k2_zfmisc_1(k1_xboole_0, k1_tarski(k6_partfun1(k7_group_9(A, B, C))))) ) ) ) ) ) ) ) ) ) ).
fof(d21_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v3_group_9(C, A) & l1_group_9(C, A)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v1_group_6(D, B, C) &  (v7_group_9(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  (! [E] :  ( (v2_group_9(E, A) & m1_group_9(E, A, B))  =>  (E=k13_group_9(A, B, C, D) <=> u1_struct_0(E)=a_4_1_group_9(A, B, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t27_group_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v3_group_9(B, A) & l1_group_9(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) => u1_struct_0(k18_group_9(A, B, C))=k1_setfam_1(a_3_0_group_9(A, B, C))) ) ) ) ) ).
fof(s1_group_9, axiom,  ( (? [A] :  ( (v2_group_9(A, f1_s1_group_9) & m1_group_9(A, f1_s1_group_9, f2_s1_group_9))  & p1_s1_group_9(A)) )  =>  (? [A] :  ( (v2_group_9(A, f1_s1_group_9) & m1_group_9(A, f1_s1_group_9, f2_s1_group_9))  & u1_struct_0(A)=k1_setfam_1(a_0_0_group_9)) ) ) ).
fof(fraenkel_a_4_0_group_9, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v3_group_9(C, B) & l1_group_9(C, B)) ) ) )  &  ( (v4_group_9(D, B, C) & m1_group_9(D, B, C))  & m1_subset_1(E, B)) )  =>  (r2_hidden(A, a_4_0_group_9(B, C, D, E)) <=>  (? [F, G] :  ( (m1_subset_1(F, k7_group_9(B, C, D)) & m1_subset_1(G, k7_group_9(B, C, D)))  &  (A=k4_tarski(F, G) &  (? [H] :  (m1_subset_1(H, u1_struct_0(C)) &  (? [I] :  (m1_subset_1(I, u1_struct_0(C)) &  (r2_tarski(H, F) &  (r2_tarski(I, G) & I=k3_funct_2(u1_struct_0(C), u1_struct_0(C), k3_group_9(B, C, E), H)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_1_group_9, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v3_group_9(C, B) & l1_group_9(C, B)) ) ) )  &  ( ( ~ (v2_struct_0(D))  &  (v2_group_1(D) &  (v3_group_1(D) &  (v3_group_9(D, B) & l1_group_9(D, B)) ) ) )  &  (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(D)) &  (v1_group_6(E, C, D) &  (v7_group_9(E, B, C, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D))))) ) ) ) ) )  =>  (r2_hidden(A, a_4_1_group_9(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(C)) &  (A=F & k3_funct_2(u1_struct_0(C), u1_struct_0(D), E, F)=k1_group_1(D)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_group_9, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) &  (v3_group_9(C, B) & l1_group_9(C, B)) ) ) )  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(C))))  =>  (r2_hidden(A, a_3_0_group_9(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(C))) &  (A=E &  (? [F] :  ( (v2_group_9(F, B) & m1_group_9(F, B, C))  &  (E=u1_struct_0(F) & r1_tarski(D, k15_group_9(B, C, F))) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_0_0_group_9, axiom,  (! [A] :  (r2_hidden(A, a_0_0_group_9) <=>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(f2_s1_group_9))) &  (A=B &  (? [C] :  ( (v2_group_9(C, f1_s1_group_9) & m1_group_9(C, f1_s1_group_9, f2_s1_group_9))  &  (B=u1_struct_0(C) & p1_s1_group_9(C)) ) ) ) ) ) ) ) ).
fof(rc1_groupp_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  & v7_ordinal1(B))  =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & v1_groupp_1(C, B, A)) ) ) ) ).
fof(fc1_groupp_1, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  &  (v1_groupp_1(C, A, B) & m1_subset_1(C, u1_struct_0(B))) ) )  => v1_groupp_1(k2_group_1(B, C), A, B)) ) ).
fof(fc2_groupp_1, axiom,  (! [A, B, C, D] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  &  (m1_subset_1(C, u1_struct_0(B)) &  (v1_groupp_1(D, A, B) & m1_subset_1(D, u1_struct_0(B))) ) ) )  => v1_groupp_1(k2_group_3(B, D, C), A, B)) ) ).
fof(fc3_groupp_1, axiom,  (! [A, B, C, D] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l3_algstr_0(B)) ) ) )  &  ( (v1_groupp_1(C, A, B) & m1_subset_1(C, u1_struct_0(B)))  &  (v1_groupp_1(D, A, B) & m1_subset_1(D, u1_struct_0(B))) ) ) )  => v1_groupp_1(k6_algstr_0(B, C, D), A, B)) ) ).
fof(cc1_groupp_1, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  &  ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v2_group_1(B) &  (v3_group_1(B) &  (v2_group_10(B, A) & l3_algstr_0(B)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => v1_groupp_1(C, A, B)) ) ) ) ).
fof(cc2_groupp_1, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  &  ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v2_group_1(B) &  (v3_group_1(B) &  (v2_group_10(B, A) & l3_algstr_0(B)) ) ) ) ) )  =>  (! [C] :  (m1_group_2(C, B) => v2_group_10(C, A)) ) ) ) ).
fof(rc2_groupp_1, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  &  ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (? [C] :  (m1_group_2(C, B) &  ( ~ (v2_struct_0(C))  &  (v1_group_1(C) &  (v2_group_1(C) &  (v3_group_1(C) & v2_group_10(C, A)) ) ) ) ) ) ) ) ).
fof(fc4_groupp_1, axiom,  (! [A, B, C, D] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  &  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  &  ( (v2_group_10(C, A) & m1_group_2(C, B))  & m1_group_2(D, B)) ) )  =>  (v15_algstr_0(k9_group_2(B, C, D)) & v2_group_10(k9_group_2(B, C, D), A)) ) ) ).
fof(fc5_groupp_1, axiom,  (! [A, B, C, D] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  &  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  &  ( (v2_group_10(C, A) & m1_group_2(C, B))  & m1_group_2(D, B)) ) )  =>  (v15_algstr_0(k9_group_2(B, D, C)) & v2_group_10(k9_group_2(B, D, C), A)) ) ) ).
fof(fc6_groupp_1, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  &  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v2_group_1(B) &  (v3_group_1(B) &  (v2_group_10(B, A) & l3_algstr_0(B)) ) ) ) )  &  (v1_group_3(C, B) & m1_group_2(C, B)) ) )  => v2_group_10(k5_group_6(B, C), A)) ) ).
fof(fc7_groupp_1, axiom,  (! [A, B, C, D] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  &  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v2_group_1(B) &  (v3_group_1(B) &  (v2_group_10(B, A) & l3_algstr_0(B)) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) &  (v2_group_1(C) &  (v3_group_1(C) & l3_algstr_0(C)) ) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v1_group_6(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) ) )  =>  (v15_algstr_0(k10_group_6(B, C, D)) & v2_group_10(k10_group_6(B, C, D), A)) ) ) ).
fof(cc3_groupp_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (l3_algstr_0(B) =>  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & v3_groupp_1(B, A)) ) )  =>  ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v2_group_10(B, A) & v2_groupp_1(B, A)) ) ) ) ) ) ) ) ) ).
fof(cc4_groupp_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (l3_algstr_0(B) =>  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) &  (v2_group_10(B, A) & v2_groupp_1(B, A)) ) ) )  =>  ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & v3_groupp_1(B, A)) ) ) ) ) ) ) ) ).
fof(rc3_groupp_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (? [B] :  (l3_algstr_0(B) &  ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v1_group_1(B) &  (v2_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v1_gr_cy_1(B) & v3_groupp_1(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(cc5_groupp_1, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  &  ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v2_group_1(B) &  (v3_group_1(B) &  (v2_groupp_1(B, A) & l3_algstr_0(B)) ) ) ) ) )  =>  (! [C] :  (m1_group_2(C, B) => v2_groupp_1(C, A)) ) ) ) ).
fof(cc6_groupp_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (l3_algstr_0(B) =>  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v2_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & v2_group_10(B, A)) ) ) ) )  =>  ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & v3_groupp_1(B, A)) ) ) ) ) ) ) ) ).
fof(rc4_groupp_1, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  &  ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (? [C] :  (m1_group_2(C, B) &  ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) &  (v1_group_1(C) &  (v2_group_1(C) &  (v3_group_1(C) & v3_groupp_1(C, A)) ) ) ) ) ) ) ) ) ).
fof(fc8_groupp_1, axiom,  (! [A, B, C, D] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  &  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  &  ( (v2_groupp_1(C, A) & m1_group_2(C, B))  & m1_group_2(D, B)) ) )  =>  (v15_algstr_0(k9_group_2(B, C, D)) & v2_groupp_1(k9_group_2(B, C, D), A)) ) ) ).
fof(fc9_groupp_1, axiom,  (! [A, B, C, D] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  &  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  &  ( (v2_groupp_1(C, A) & m1_group_2(C, B))  & m1_group_2(D, B)) ) )  =>  (v15_algstr_0(k9_group_2(B, D, C)) & v2_groupp_1(k9_group_2(B, D, C), A)) ) ) ).
fof(fc10_groupp_1, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  &  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v2_group_1(B) &  (v3_group_1(B) &  (v2_groupp_1(B, A) & l3_algstr_0(B)) ) ) ) )  &  (v1_group_3(C, B) & m1_group_2(C, B)) ) )  => v2_groupp_1(k5_group_6(B, C), A)) ) ).
fof(fc11_groupp_1, axiom,  (! [A, B, C, D] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  &  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v2_group_1(B) &  (v3_group_1(B) &  (v2_groupp_1(B, A) & l3_algstr_0(B)) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) &  (v2_group_1(C) &  (v3_group_1(C) & l3_algstr_0(C)) ) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v1_group_6(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) ) )  =>  (v15_algstr_0(k10_group_6(B, C, D)) & v2_groupp_1(k10_group_6(B, C, D), A)) ) ) ).
fof(t1_groupp_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  ~ ( ( (! [C] :  (v7_ordinal1(C) =>  ~ (A=k1_newton(B, C)) ) )  &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ ( (v1_int_2(C) &  (r1_int_1(C, A) &  ~ (C=B) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_groupp_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_int_1(B, k1_newton(A, C)) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (B=k1_newton(A, D) & r1_xxreal_0(D, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_groupp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (k5_group_1(A, B, C)=k1_group_1(A) => k5_group_1(A, k2_group_1(A, B), C)=k1_group_1(A)) ) ) ) ) ) ) ).
fof(t4_groupp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (k5_group_1(A, k2_group_1(A, B), C)=k1_group_1(A) => k5_group_1(A, B, C)=k1_group_1(A)) ) ) ) ) ) ) ).
fof(t5_groupp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_group_1(A, k2_group_1(A, B))=k6_group_1(A, B)) ) ) ) ).
fof(t6_groupp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k6_group_1(A, k2_group_3(A, B, C))=k6_group_1(A, B)) ) ) ) ) ) ).
fof(t7_groupp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (v1_group_3(B, A) & r1_struct_0(B, D))  =>  (! [E] :  (v7_ordinal1(E) =>  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (r1_struct_0(B, F) & k5_group_1(A, k6_algstr_0(A, C, D), E)=k6_algstr_0(A, k5_group_1(A, C, E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_groupp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_group_3(B, A) & m1_group_2(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_group_6(A, B))) =>  (D=k13_group_2(A, B, C) =>  (! [E] :  (v7_ordinal1(E) => k5_group_1(k5_group_6(A, B), D, E)=k13_group_2(A, B, k5_group_1(A, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_groupp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (k13_group_2(A, B, C)=k13_group_2(A, B, D) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (C=k6_algstr_0(A, D, E) & r1_struct_0(B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_groupp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v1_group_3(B, A) & m1_group_2(B, A))  =>  ( (m1_group_6(B, A, k10_group_5(A)) & v1_gr_cy_1(k5_group_6(A, B)))  => v5_group_1(A)) ) ) ) ) ).
fof(t11_groupp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v1_group_3(B, A) & m1_group_2(B, A))  =>  ( (B=k10_group_5(A) & v1_gr_cy_1(k5_group_6(A, B)))  => v5_group_1(A)) ) ) ) ) ).
fof(t12_groupp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  ~ ( ( ~ (k7_group_1(B)=k7_group_1(A))  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_struct_0(B, C)) ) ) ) ) ) ) ) ).
fof(d1_groupp_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (v1_groupp_1(C, A, B) <=>  (? [D] :  (v7_ordinal1(D) & k6_group_1(B, C)=k1_newton(A, D)) ) ) ) ) ) ) ) ) ).
fof(t13_groupp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (v7_ordinal1(B) => v1_groupp_1(k1_group_1(A), B, A)) ) ) ) ).
fof(t14_groupp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v7_ordinal1(D) & v1_int_2(D))  =>  (v1_groupp_1(k2_group_3(A, B, C), D, A) => v1_groupp_1(B, D, A)) ) ) ) ) ) ) ) ) ).
fof(t15_groupp_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (! [C] :  (m1_group_2(C, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  ( (v2_group_10(C, A) & r1_struct_0(C, D))  => v1_groupp_1(D, A, B)) ) ) ) ) ) ) ) ) ).
fof(t16_groupp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  => v2_group_10(k6_group_2(A), B)) ) ) ) ).
fof(t17_groupp_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => v1_groupp_1(C, A, B)) )  => v2_group_10(B, A)) ) ) ) ) ).
fof(t18_groupp_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v1_group_3(C, B) & m1_group_2(C, B))  =>  ( (v2_group_10(C, A) & v2_group_10(k5_group_6(B, C), A))  => v2_group_10(B, A)) ) ) ) ) ) ) ).
fof(t19_groupp_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v2_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l3_algstr_0(B)) ) ) ) )  =>  (! [C] :  (m1_group_2(C, B) =>  (! [D] :  (m1_group_2(D, B) =>  (! [E] :  (m1_group_2(E, B) =>  ( (v2_group_10(D, A) &  (v2_group_10(E, A) & u1_struct_0(C)=k7_group_4(B, D, E)) )  => v2_group_10(C, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_groupp_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (! [C] :  (m1_group_2(C, B) =>  (! [D] :  (m1_group_2(D, B) =>  ~ ( ( (v1_group_3(D, B) & m1_group_2(D, B))  &  (v2_group_10(C, A) &  (v2_group_10(D, A) &  (! [E] :  ( (v15_algstr_0(E) & m1_group_2(E, B))  =>  ~ ( (u1_struct_0(E)=k7_group_4(B, C, D) & v2_group_10(E, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_groupp_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v1_group_3(C, B) & m1_group_2(C, B))  =>  (! [D] :  ( (v1_group_3(D, B) & m1_group_2(D, B))  =>  ~ ( (v2_group_10(C, A) &  (v2_group_10(D, A) &  (! [E] :  ( (v15_algstr_0(E) &  (v1_group_3(E, B) & m1_group_2(E, B)) )  =>  ~ ( (u1_struct_0(E)=k7_group_4(B, C, D) & v2_group_10(E, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_groupp_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v15_algstr_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v15_algstr_0(C) &  (v2_group_1(C) &  (v3_group_1(C) & l3_algstr_0(C)) ) ) )  =>  ( (r2_group_6(B, C) & v2_group_10(B, A))  => v2_group_10(C, A)) ) ) ) ) ) ) ).
fof(d2_groupp_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (v2_group_10(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (C=k1_groupp_1(A, B) <=> k7_struct_0(B)=k1_newton(A, C)) ) ) ) ) ) ) ) ).
fof(t23_groupp_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (! [C] :  (m1_group_2(C, B) =>  (v2_group_10(B, A) => r1_xxreal_0(k2_groupp_1(A, C), k2_groupp_1(A, B))) ) ) ) ) ) ) ).
fof(t24_groupp_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v15_algstr_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) ) )  =>  ( (v2_group_10(B, A) & k2_groupp_1(A, B)=k5_numbers)  => B=k6_group_2(B)) ) ) ) ) ).
fof(t25_groupp_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v15_algstr_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) ) )  =>  ( (v2_group_10(B, A) & k2_groupp_1(A, B)=1)  => v1_gr_cy_1(B)) ) ) ) ) ).
fof(t26_groupp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v2_group_10(A, B) &  (k2_groupp_1(B, A)=2 & k6_group_1(A, C)=k1_newton(B, 2)) )  => v5_group_1(A)) ) ) ) ) ) ) ).
fof(d3_groupp_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (v2_groupp_1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k5_group_1(B, k6_algstr_0(B, C, D), A)=k6_algstr_0(B, k5_group_1(B, C, A), k5_group_1(B, D, A))) ) ) ) ) ) ) ) ) ).
fof(d4_groupp_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (v3_groupp_1(B, A) <=>  (v2_group_10(B, A) & v2_groupp_1(B, A)) ) ) ) ) ) ).
fof(t27_groupp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  => v2_groupp_1(k6_group_2(A), B)) ) ) ) ).
fof(t28_groupp_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v15_algstr_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) ) )  =>  (k7_group_1(B)=A => v3_groupp_1(B, A)) ) ) ) ) ).
fof(t29_groupp_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (v2_groupp_1(B, A) =>  (! [E] :  (v7_ordinal1(E) => k5_group_1(B, k6_algstr_0(B, C, D), k1_newton(A, E))=k6_algstr_0(B, k5_group_1(B, C, k1_newton(A, E)), k5_group_1(B, D, k1_newton(A, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_groupp_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v2_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l3_algstr_0(B)) ) ) ) )  =>  (! [C] :  (m1_group_2(C, B) =>  (! [D] :  (m1_group_2(D, B) =>  (! [E] :  (m1_group_2(E, B) =>  ( (v3_groupp_1(D, A) &  (v3_groupp_1(E, A) & u1_struct_0(C)=k7_group_4(B, D, E)) )  => v3_groupp_1(C, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_groupp_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (! [C] :  (m1_group_2(C, B) =>  (! [D] :  ( (v15_algstr_0(D) &  (v1_group_3(D, B) & m1_group_2(D, B)) )  =>  ~ ( (m1_group_6(D, B, k10_group_5(B)) &  (v3_groupp_1(C, A) &  (v3_groupp_1(D, A) &  (! [E] :  ( (v15_algstr_0(E) & m1_group_2(E, B))  =>  ~ ( (u1_struct_0(E)=k7_group_4(B, C, D) & v3_groupp_1(E, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_groupp_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v1_group_3(C, B) & m1_group_2(C, B))  =>  (! [D] :  ( (v1_group_3(D, B) & m1_group_2(D, B))  =>  ~ ( (m1_group_6(D, B, k10_group_5(B)) &  (v3_groupp_1(C, A) &  (v3_groupp_1(D, A) &  (! [E] :  ( (v15_algstr_0(E) &  (v1_group_3(E, B) & m1_group_2(E, B)) )  =>  ~ ( (u1_struct_0(E)=k7_group_4(B, C, D) & v3_groupp_1(E, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_groupp_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_group_1(C) &  (v3_group_1(C) & l3_algstr_0(C)) ) )  =>  ( (r2_group_6(B, C) & v2_groupp_1(B, A))  => v2_groupp_1(C, A)) ) ) ) ) ) ) ).
fof(t34_groupp_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v15_algstr_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v15_algstr_0(C) &  (v2_group_1(C) &  (v3_group_1(C) & l3_algstr_0(C)) ) ) )  =>  ( (r2_group_6(B, C) & v3_groupp_1(B, A))  => v3_groupp_1(C, A)) ) ) ) ) ) ) ).
fof(t35_groupp_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v15_algstr_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) ) )  =>  ( (v2_group_10(B, A) & k2_groupp_1(A, B)=k5_numbers)  => v3_groupp_1(B, A)) ) ) ) ) ).
fof(t36_groupp_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v15_algstr_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) ) )  =>  ( (v2_group_10(B, A) & k2_groupp_1(A, B)=1)  => v3_groupp_1(B, A)) ) ) ) ) ).
fof(dt_k1_groupp_1, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  &  ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  => v7_ordinal1(k1_groupp_1(A, B))) ) ).
fof(dt_k2_groupp_1, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  &  ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  => m1_subset_1(k2_groupp_1(A, B), k4_ordinal1)) ) ).
fof(redefinition_k2_groupp_1, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  &  ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  => k2_groupp_1(A, B)=k1_groupp_1(A, B)) ) ).
fof(rc1_grsolv_1, axiom,  (? [A] :  (l3_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & v1_grsolv_1(A)) ) ) ) ) ) ).
fof(d1_grsolv_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (v1_grsolv_1(A) <=>  (? [B] :  (m2_finseq_1(B, k1_group_3(A)) &  ( ~ (r1_xxreal_0(k3_finseq_1(B), k5_numbers))  &  (k1_funct_1(B, 1)=k7_group_2(A) &  (k1_funct_1(B, k3_finseq_1(B))=k6_group_2(A) &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (r2_tarski(C, k4_finseq_1(B)) & r2_tarski(k1_nat_1(C, 1), k4_finseq_1(B)))  =>  (! [D] :  ( (v15_algstr_0(D) & m1_group_2(D, A))  =>  (! [E] :  ( (v15_algstr_0(E) & m1_group_2(E, A))  =>  ( (D=k1_funct_1(B, C) & E=k1_funct_1(B, k1_nat_1(C, 1)))  =>  ( (v15_algstr_0(E) &  (v1_group_3(E, D) & m1_group_6(E, A, D)) )  &  (! [F] :  ( (v1_group_3(F, D) & m1_group_6(F, A, D))  =>  (F=E => v5_group_1(k5_group_6(D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_grsolv_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  (! [C] :  ( (v15_algstr_0(C) & m1_group_2(C, A))  =>  (! [D] :  ( (v15_algstr_0(D) & m1_group_2(D, A))  =>  ( (v1_group_3(C, D) & m1_group_6(C, A, D))  =>  (v1_group_3(k10_group_2(A, C, B), k10_group_2(A, D, B)) & m1_group_6(k10_group_2(A, C, B), A, k10_group_2(A, D, B))) ) ) ) ) ) ) ) ) ) ).
fof(t2_grsolv_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  ( (v1_group_3(C, B) & m1_group_6(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => k2_group_2(B, k13_group_2(B, C, D), k13_group_2(B, C, E))=k13_group_2(B, C, k6_algstr_0(B, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t3_grsolv_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  ( (v1_group_3(D, C) & m1_group_6(D, A, C))  =>  (! [E] :  (m1_group_2(E, A) =>  (E=k10_group_2(A, B, C) =>  (! [F] :  ( (v1_group_3(F, E) & m1_group_6(F, A, E))  =>  ~ ( (F=k10_group_2(A, B, D) &  (! [G] :  (m1_group_2(G, k5_group_6(C, D)) =>  ~ (r2_group_6(k5_group_6(E, F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_grsolv_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  ( (v1_group_3(D, C) & m1_group_6(D, A, C))  =>  (! [E] :  (m1_group_2(E, A) =>  (E=k10_group_2(A, C, B) =>  (! [F] :  ( (v1_group_3(F, E) & m1_group_6(F, A, E))  =>  ~ ( (F=k10_group_2(A, D, B) &  (! [G] :  (m1_group_2(G, k5_group_6(C, D)) =>  ~ (r2_group_6(k5_group_6(E, F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_grsolv_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) &  (v1_grsolv_1(A) & l3_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  => v1_grsolv_1(B)) ) ) ) ).
fof(t6_grsolv_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  ( (? [B] :  (m2_finseq_1(B, k1_group_3(A)) &  ( ~ (r1_xxreal_0(k3_finseq_1(B), k5_numbers))  &  (k1_funct_1(B, 1)=k7_group_2(A) &  (k1_funct_1(B, k3_finseq_1(B))=k6_group_2(A) &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (r2_tarski(C, k4_finseq_1(B)) & r2_tarski(k1_nat_1(C, 1), k4_finseq_1(B)))  =>  (! [D] :  ( (v15_algstr_0(D) & m1_group_2(D, A))  =>  (! [E] :  ( (v15_algstr_0(E) & m1_group_2(E, A))  =>  ( (D=k1_funct_1(B, C) & E=k1_funct_1(B, k1_nat_1(C, 1)))  =>  ( (v15_algstr_0(E) &  (v1_group_3(E, D) & m1_group_6(E, A, D)) )  &  (! [F] :  ( (v1_group_3(F, D) & m1_group_6(F, A, D))  =>  (F=E =>  ( ~ (v2_struct_0(k5_group_6(D, F)))  &  (v2_group_1(k5_group_6(D, F)) &  (v3_group_1(k5_group_6(D, F)) &  (v1_gr_cy_1(k5_group_6(D, F)) & l3_algstr_0(k5_group_6(D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  => v1_grsolv_1(A)) ) ) ).
fof(t7_grsolv_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) ) )  => v1_grsolv_1(A)) ) ).
fof(d2_grsolv_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (! [D] :  (m1_group_2(D, A) => k1_grsolv_1(A, B, C, D)=k5_relset_1(u1_struct_0(A), u1_struct_0(B), C, u1_struct_0(D))) ) ) ) ) ) ) ) ).
fof(d3_grsolv_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (! [D] :  (m1_group_2(D, A) => k2_grsolv_1(A, B, C, D)=k10_group_6(D, B, k1_grsolv_1(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t8_grsolv_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (! [D] :  (m1_group_2(D, A) => u1_struct_0(k2_grsolv_1(A, B, C, D))=k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, u1_struct_0(D))) ) ) ) ) ) ) ) ).
fof(t9_grsolv_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v15_algstr_0(D) & m1_group_2(D, A))  =>  (v15_algstr_0(k10_group_6(D, B, k1_grsolv_1(A, B, C, D))) & m1_group_6(k10_group_6(D, B, k1_grsolv_1(A, B, C, D)), B, k10_group_6(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t10_grsolv_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v15_algstr_0(D) & m1_group_2(D, A))  =>  (v15_algstr_0(k2_grsolv_1(A, B, C, D)) & m1_group_6(k2_grsolv_1(A, B, C, D), B, k10_group_6(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t11_grsolv_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (r1_group_2(B, k2_grsolv_1(A, B, C, k6_group_2(A)), k6_group_2(B)) & k2_grsolv_1(A, B, C, k7_group_2(A))=k7_group_2(k10_group_6(A, B, C))) ) ) ) ) ) ) ).
fof(t12_grsolv_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (! [D] :  (m1_group_2(D, A) =>  (! [E] :  (m1_group_2(E, A) =>  (m1_group_6(D, A, E) => m1_group_6(k2_grsolv_1(A, B, C, D), B, k2_grsolv_1(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_grsolv_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v15_algstr_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v15_algstr_0(D) & m1_group_2(D, A))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (k13_group_2(B, k2_grsolv_1(A, B, C, D), k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, E))=k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, k13_group_2(A, D, E)) & k14_group_2(B, k2_grsolv_1(A, B, C, D), k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, E))=k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, k14_group_2(A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_grsolv_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v15_algstr_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) => k2_group_2(B, k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, E))=k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, k2_group_2(A, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t15_grsolv_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v15_algstr_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v15_algstr_0(D) & m1_group_2(D, A))  =>  (! [E] :  ( (v15_algstr_0(E) & m1_group_2(E, A))  =>  ( (v15_algstr_0(D) &  (v1_group_3(D, E) & m1_group_6(D, A, E)) )  =>  (v15_algstr_0(k2_grsolv_1(A, B, C, D)) &  (v1_group_3(k2_grsolv_1(A, B, C, D), k2_grsolv_1(A, B, C, E)) & m1_group_6(k2_grsolv_1(A, B, C, D), B, k2_grsolv_1(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_grsolv_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v15_algstr_0(B) &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v1_grsolv_1(A) & l3_algstr_0(A)) ) ) )  => v1_grsolv_1(k10_group_6(A, B, C))) ) ) ) ) ) ) ).
fof(dt_k1_grsolv_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  & m1_group_2(D, A)) ) )  =>  (v1_funct_1(k1_grsolv_1(A, B, C, D)) &  (v1_funct_2(k1_grsolv_1(A, B, C, D), u1_struct_0(D), u1_struct_0(B)) &  (v1_group_6(k1_grsolv_1(A, B, C, D), D, B) & m1_subset_1(k1_grsolv_1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(B))))) ) ) ) ) ).
fof(dt_k2_grsolv_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  & m1_group_2(D, A)) ) )  =>  (v15_algstr_0(k2_grsolv_1(A, B, C, D)) & m1_group_2(k2_grsolv_1(A, B, C, D), B)) ) ) ).
fof(fc1_grzlog_1, axiom,  ( ~ (v1_xboole_0(k1_grzlog_1))  &  (v3_finseq_1(k1_grzlog_1) & v3_polnot_1(k1_grzlog_1)) ) ).
fof(fc2_grzlog_1, axiom,  ( ~ (v1_xboole_0(k7_grzlog_1))  &  ( ~ (v1_zfmisc_1(k7_grzlog_1))  &  (v3_finseq_1(k7_grzlog_1) & v3_polnot_1(k7_grzlog_1)) ) ) ).
fof(rc1_grzlog_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k13_grzlog_1)) &  ( ~ (v1_xboole_0(A))  &  (v4_funct_1(A) &  (v3_finseq_1(A) & v3_polnot_1(A)) ) ) ) ) ).
fof(cc1_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (v1_grzlog_1(A) =>  ~ (v2_grzlog_1(A)) ) ) ) ).
fof(cc2_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (v1_grzlog_1(A) =>  ~ (v3_grzlog_1(A)) ) ) ) ).
fof(cc3_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (v1_grzlog_1(A) =>  ~ (v4_grzlog_1(A)) ) ) ) ).
fof(cc4_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (v2_grzlog_1(A) =>  ~ (v3_grzlog_1(A)) ) ) ) ).
fof(cc5_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (v2_grzlog_1(A) =>  ~ (v4_grzlog_1(A)) ) ) ) ).
fof(cc6_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (v3_grzlog_1(A) =>  ~ (v4_grzlog_1(A)) ) ) ) ).
fof(rc2_grzlog_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k13_grzlog_1)))  & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1))))  =>  (? [C] :  (m1_finseq_1(C, k13_grzlog_1) &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, k13_grzlog_1) &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_finseq_1(C) &  (v2_finseq_1(C) & v5_grzlog_1(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc3_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) => v7_grzlog_1(k15_grzlog_1(k16_grzlog_1(A, k15_grzlog_1(A))))) ) ).
fof(fc4_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) => v7_grzlog_1(k17_grzlog_1(k15_grzlog_1(k15_grzlog_1(A)), A))) ) ).
fof(fc5_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) => v7_grzlog_1(k17_grzlog_1(A, k16_grzlog_1(A, A)))) ) ).
fof(fc6_grzlog_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) & m1_subset_1(B, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)))  => v7_grzlog_1(k17_grzlog_1(k16_grzlog_1(A, B), k16_grzlog_1(B, A)))) ) ).
fof(fc7_grzlog_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) & m1_subset_1(B, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)))  => v7_grzlog_1(k17_grzlog_1(k15_grzlog_1(k16_grzlog_1(A, B)), k18_grzlog_1(k15_grzlog_1(A), k15_grzlog_1(B))))) ) ).
fof(fc8_grzlog_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) & m1_subset_1(B, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)))  => v7_grzlog_1(k17_grzlog_1(k17_grzlog_1(A, B), k17_grzlog_1(B, A)))) ) ).
fof(fc9_grzlog_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) & m1_subset_1(B, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)))  => v7_grzlog_1(k17_grzlog_1(k17_grzlog_1(A, B), k17_grzlog_1(k15_grzlog_1(A), k15_grzlog_1(B))))) ) ).
fof(fc10_grzlog_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) &  (m1_subset_1(B, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) & m1_subset_1(C, k20_polnot_1(k7_grzlog_1, k12_grzlog_1))) )  => v7_grzlog_1(k17_grzlog_1(k16_grzlog_1(A, k16_grzlog_1(B, C)), k16_grzlog_1(k16_grzlog_1(A, B), C)))) ) ).
fof(fc11_grzlog_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) &  (m1_subset_1(B, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) & m1_subset_1(C, k20_polnot_1(k7_grzlog_1, k12_grzlog_1))) )  => v7_grzlog_1(k17_grzlog_1(k16_grzlog_1(A, k18_grzlog_1(B, C)), k18_grzlog_1(k16_grzlog_1(A, B), k16_grzlog_1(A, C))))) ) ).
fof(fc12_grzlog_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) &  (m1_subset_1(B, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) & m1_subset_1(C, k20_polnot_1(k7_grzlog_1, k12_grzlog_1))) )  => v9_grzlog_1(k19_grzlog_1(k17_grzlog_1(A, B), k17_grzlog_1(k16_grzlog_1(A, C), k16_grzlog_1(B, C))))) ) ).
fof(fc13_grzlog_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) &  (m1_subset_1(B, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) & m1_subset_1(C, k20_polnot_1(k7_grzlog_1, k12_grzlog_1))) )  => v9_grzlog_1(k19_grzlog_1(k17_grzlog_1(A, B), k17_grzlog_1(k18_grzlog_1(A, C), k18_grzlog_1(B, C))))) ) ).
fof(fc14_grzlog_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) &  (m1_subset_1(B, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) & m1_subset_1(C, k20_polnot_1(k7_grzlog_1, k12_grzlog_1))) )  => v9_grzlog_1(k19_grzlog_1(k17_grzlog_1(A, B), k17_grzlog_1(k17_grzlog_1(A, C), k17_grzlog_1(B, C))))) ) ).
fof(cc7_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (v7_grzlog_1(A) => v9_grzlog_1(A)) ) ) ).
fof(cc8_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (v7_grzlog_1(A) => v8_grzlog_1(A)) ) ) ).
fof(cc9_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (v9_grzlog_1(A) => v10_grzlog_1(A)) ) ) ).
fof(cc10_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (v8_grzlog_1(A) => v10_grzlog_1(A)) ) ) ).
fof(rc3_grzlog_1, axiom,  (? [A] :  (m1_subset_1(A, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v7_grzlog_1(A) &  (v8_grzlog_1(A) &  (v9_grzlog_1(A) & v10_grzlog_1(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc4_grzlog_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_zfmisc_1(k13_grzlog_1))) &  ~ (v1_xboole_0(A)) ) ) ).
fof(fc15_grzlog_1, axiom,  (! [A] :  ( (v10_grzlog_1(A) & m1_subset_1(A, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)))  => v11_grzlog_1(k34_grzlog_1(A))) ) ).
fof(d2_grzlog_1, axiom, k2_grzlog_1=k12_finseq_1(k4_ordinal1, 1)).
fof(d3_grzlog_1, axiom, k3_grzlog_1=k12_finseq_1(k4_ordinal1, 2)).
fof(d4_grzlog_1, axiom, k4_grzlog_1=k12_finseq_1(k4_ordinal1, 3)).
fof(d5_grzlog_1, axiom, k5_grzlog_1=k1_enumset1(k2_grzlog_1, k3_grzlog_1, k4_grzlog_1)).
fof(d6_grzlog_1, axiom, k7_grzlog_1=k2_xboole_0(k1_grzlog_1, k6_grzlog_1)).
fof(t1_grzlog_1, axiom,  ( ~ (k8_grzlog_1=k9_grzlog_1)  &  ( ~ (k8_grzlog_1=k10_grzlog_1)  &  ~ (k9_grzlog_1=k10_grzlog_1) ) ) ).
fof(d7_grzlog_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k6_grzlog_1, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k6_grzlog_1, k4_ordinal1)))) )  =>  (A=k11_grzlog_1 <=>  (k1_funct_1(A, k8_grzlog_1)=1 &  (k1_funct_1(A, k9_grzlog_1)=2 & k1_funct_1(A, k10_grzlog_1)=2) ) ) ) ) ).
fof(d8_grzlog_1, axiom,  (! [A] :  (m1_polnot_1(A, k7_grzlog_1) =>  (A=k12_grzlog_1 <=>  (! [B] :  (r2_hidden(B, k7_grzlog_1) =>  ( (r2_hidden(B, k6_grzlog_1) => k1_funct_1(A, B)=k1_funct_1(k11_grzlog_1, B))  &  ( ~ (r2_hidden(B, k6_grzlog_1))  => k1_funct_1(A, B)=k5_numbers) ) ) ) ) ) ) ).
fof(t2_grzlog_1, axiom,  (k3_funct_2(k7_grzlog_1, k4_ordinal1, k12_grzlog_1, k8_grzlog_1)=1 &  (k3_funct_2(k7_grzlog_1, k4_ordinal1, k12_grzlog_1, k9_grzlog_1)=2 & k3_funct_2(k7_grzlog_1, k4_ordinal1, k12_grzlog_1, k10_grzlog_1)=2) ) ).
fof(t3_grzlog_1, axiom, k7_polnot_1(k7_grzlog_1, k12_grzlog_1)=k1_grzlog_1).
fof(d9_grzlog_1, axiom, k13_grzlog_1=k20_polnot_1(k7_grzlog_1, k12_grzlog_1)).
fof(d10_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => k14_grzlog_1(A)=k10_finseq_1(k5_numbers, A)) ) ).
fof(d11_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) => k15_grzlog_1(A)=k3_funct_2(k20_polnot_1(k7_grzlog_1, k12_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1), k22_polnot_1(k7_grzlog_1, k12_grzlog_1, k8_grzlog_1), A)) ) ).
fof(d12_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [B] :  (m2_subset_1(B, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) => k16_grzlog_1(A, B)=k4_binop_1(k20_polnot_1(k7_grzlog_1, k12_grzlog_1), k23_polnot_1(k7_grzlog_1, k12_grzlog_1, k9_grzlog_1), A, B)) ) ) ) ).
fof(d13_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [B] :  (m2_subset_1(B, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) => k17_grzlog_1(A, B)=k4_binop_1(k20_polnot_1(k7_grzlog_1, k12_grzlog_1), k23_polnot_1(k7_grzlog_1, k12_grzlog_1, k10_grzlog_1), A, B)) ) ) ) ).
fof(d14_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [B] :  (m2_subset_1(B, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) => k18_grzlog_1(A, B)=k15_grzlog_1(k16_grzlog_1(k15_grzlog_1(A), k15_grzlog_1(B)))) ) ) ) ).
fof(d15_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [B] :  (m2_subset_1(B, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) => k19_grzlog_1(A, B)=k17_grzlog_1(A, k16_grzlog_1(A, B))) ) ) ) ).
fof(d16_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [B] :  (m2_subset_1(B, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) => k20_grzlog_1(A, B)=k16_grzlog_1(k19_grzlog_1(A, B), k19_grzlog_1(B, A))) ) ) ) ).
fof(d17_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (v1_grzlog_1(A) <=> r2_tarski(A, k7_polnot_1(k7_grzlog_1, k12_grzlog_1))) ) ) ).
fof(d18_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (v2_grzlog_1(A) <=> k27_polnot_1(k7_grzlog_1, k12_grzlog_1, A)=k8_grzlog_1) ) ) ).
fof(d19_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (v3_grzlog_1(A) <=> k27_polnot_1(k7_grzlog_1, k12_grzlog_1, A)=k9_grzlog_1) ) ) ).
fof(d20_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (v4_grzlog_1(A) <=> k27_polnot_1(k7_grzlog_1, k12_grzlog_1, A)=k10_grzlog_1) ) ) ).
fof(t4_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (v1_grzlog_1(A) <=> r2_tarski(A, k1_grzlog_1)) ) ) ).
fof(t5_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (v2_grzlog_1(A) <=>  (? [B] :  (m2_subset_1(B, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) & A=k15_grzlog_1(B)) ) ) ) ) ).
fof(t6_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (v3_grzlog_1(A) <=>  (? [B] :  (m2_subset_1(B, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) &  (? [C] :  (m2_subset_1(C, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) & A=k16_grzlog_1(B, C)) ) ) ) ) ) ) ).
fof(t7_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (v4_grzlog_1(A) <=>  (? [B] :  (m2_subset_1(B, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) &  (? [C] :  (m2_subset_1(C, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) & A=k17_grzlog_1(B, C)) ) ) ) ) ) ) ).
fof(t8_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  ~ ( ( ~ (v1_grzlog_1(A))  &  ( ~ (v2_grzlog_1(A))  &  ( ~ (v3_grzlog_1(A))  &  ~ (v4_grzlog_1(A)) ) ) ) ) ) ) ).
fof(d21_grzlog_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k13_grzlog_1)))  =>  (A=k21_grzlog_1 <=>  (! [B] :  (r2_hidden(B, A) <=>  ~ ( (! [C] :  (m2_subset_1(C, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [D] :  (m2_subset_1(D, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [E] :  (m2_subset_1(E, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  ( ~ (B=k15_grzlog_1(k16_grzlog_1(C, k15_grzlog_1(C))))  &  ( ~ (B=k17_grzlog_1(k15_grzlog_1(k15_grzlog_1(C)), C))  &  ( ~ (B=k17_grzlog_1(C, k16_grzlog_1(C, C)))  &  ( ~ (B=k17_grzlog_1(k16_grzlog_1(C, D), k16_grzlog_1(D, C)))  &  ( ~ (B=k17_grzlog_1(k16_grzlog_1(C, k16_grzlog_1(D, E)), k16_grzlog_1(k16_grzlog_1(C, D), E)))  &  ( ~ (B=k17_grzlog_1(k16_grzlog_1(C, k18_grzlog_1(D, E)), k18_grzlog_1(k16_grzlog_1(C, D), k16_grzlog_1(C, E))))  &  ( ~ (B=k17_grzlog_1(k15_grzlog_1(k16_grzlog_1(C, D)), k18_grzlog_1(k15_grzlog_1(C), k15_grzlog_1(D))))  &  ( ~ (B=k17_grzlog_1(k17_grzlog_1(C, D), k17_grzlog_1(D, C)))  &  ~ (B=k17_grzlog_1(k17_grzlog_1(C, D), k17_grzlog_1(k15_grzlog_1(C), k15_grzlog_1(D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d22_grzlog_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k13_grzlog_1)))  =>  (A=k22_grzlog_1 <=>  (! [B] :  (r2_hidden(B, A) <=>  ~ ( (! [C] :  (m2_subset_1(C, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [D] :  (m2_subset_1(D, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [E] :  (m2_subset_1(E, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  ( ~ (B=k19_grzlog_1(k17_grzlog_1(C, D), k17_grzlog_1(k16_grzlog_1(C, E), k16_grzlog_1(D, E))))  &  ( ~ (B=k19_grzlog_1(k17_grzlog_1(C, D), k17_grzlog_1(k18_grzlog_1(C, E), k18_grzlog_1(D, E))))  &  ~ (B=k19_grzlog_1(k17_grzlog_1(C, D), k17_grzlog_1(k17_grzlog_1(C, E), k17_grzlog_1(D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d23_grzlog_1, axiom, k23_grzlog_1=k4_subset_1(k13_grzlog_1, k21_grzlog_1, k22_grzlog_1)).
fof(d28_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1))) =>  (A=k29_grzlog_1 <=>  (! [B] :  (r2_hidden(B, A) <=>  ~ ( ( ~ (r2_hidden(B, k25_grzlog_1))  &  ( ~ (r2_hidden(B, k26_grzlog_1))  &  ( ~ (r2_hidden(B, k27_grzlog_1))  &  ~ (r2_hidden(B, k28_grzlog_1)) ) ) ) ) ) ) ) ) ) ).
fof(d29_grzlog_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k13_grzlog_1)))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1))) =>  (! [C] :  (m2_finseq_1(C, k13_grzlog_1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r1_grzlog_1(A, B, C, D) <=>  ~ ( ( ~ (r2_tarski(k1_funct_1(C, D), A))  &  (! [E] :  ( (v1_finset_1(E) & m1_subset_1(E, k1_zfmisc_1(k13_grzlog_1)))  =>  ~ ( (r2_hidden(k4_tarski(E, k1_funct_1(C, D)), B) &  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) )  =>  ~ ( (r2_tarski(F, E) &  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  ~ ( (r2_tarski(G, k1_relset_1(k4_ordinal1, C)) &  ( ~ (r1_xxreal_0(D, G))  & k1_funct_1(C, G)=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d30_grzlog_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k13_grzlog_1)))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1))) =>  (! [C] :  (m2_finseq_1(C, k13_grzlog_1) =>  (v5_grzlog_1(C, A, B) <=>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r2_tarski(D, k1_relset_1(k4_ordinal1, C)) => r1_grzlog_1(A, B, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t9_grzlog_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k13_grzlog_1)))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1))) =>  (! [C] :  (m2_subset_1(C, k13_grzlog_1, A) => v5_grzlog_1(k31_grzlog_1(A, C), A, B)) ) ) ) ) ) ).
fof(d31_grzlog_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k13_grzlog_1)))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1))) =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(k13_grzlog_1)))  =>  (v6_grzlog_1(C, A, B) <=>  (? [D] :  (m2_finseq_1(D, k13_grzlog_1) &  (C=k2_relset_1(k13_grzlog_1, D) & v5_grzlog_1(D, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t10_grzlog_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k13_grzlog_1)))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1))) =>  (! [C] :  (m2_finseq_1(C, k13_grzlog_1) =>  (! [D] :  (m2_finseq_1(D, k13_grzlog_1) =>  (! [E] :  (m2_finseq_1(E, k13_grzlog_1) =>  ( (v5_grzlog_1(C, A, B) & r2_relset_1(k4_ordinal1, k13_grzlog_1, C, k8_finseq_1(k13_grzlog_1, D, E)))  => v5_grzlog_1(D, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_grzlog_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k13_grzlog_1)))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1))) =>  (! [C] :  (m2_finseq_1(C, k13_grzlog_1) =>  (! [D] :  (m2_finseq_1(D, k13_grzlog_1) =>  ( (v5_grzlog_1(C, A, B) & v5_grzlog_1(D, A, B))  => v5_grzlog_1(k8_finseq_1(k13_grzlog_1, C, D), A, B)) ) ) ) ) ) ) ) ) ).
fof(t12_grzlog_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k13_grzlog_1)))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1))) =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(k13_grzlog_1)))  =>  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(k13_grzlog_1)))  =>  ( (v6_grzlog_1(C, A, B) & v6_grzlog_1(D, A, B))  => v6_grzlog_1(k30_grzlog_1(C, D), A, B)) ) ) ) ) ) ) ) ) ).
fof(t13_grzlog_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k13_grzlog_1)))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k13_grzlog_1)))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1))) =>  (! [E] :  (m2_finseq_1(E, k13_grzlog_1) =>  ( (r1_tarski(A, B) &  (r1_relset_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1, C, D) & v5_grzlog_1(E, A, C)) )  => v5_grzlog_1(E, B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d32_grzlog_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k13_grzlog_1)))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1))) =>  (! [C] :  (m2_subset_1(C, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (r2_grzlog_1(A, B, C) <=>  (? [D] :  (m2_finseq_1(D, k13_grzlog_1) &  (r2_tarski(C, k2_relset_1(k13_grzlog_1, D)) & v5_grzlog_1(D, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(d33_grzlog_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k13_grzlog_1)))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k13_grzlog_1)) =>  (r3_grzlog_1(A, B, C) <=>  (! [D] :  (m2_subset_1(D, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (r2_tarski(D, C) => r2_grzlog_1(A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t14_grzlog_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k13_grzlog_1)))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1))) =>  (! [C] :  (m2_subset_1(C, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (r2_grzlog_1(A, B, C) <=>  (? [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(k13_grzlog_1)))  &  (r2_tarski(C, D) & v6_grzlog_1(D, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t15_grzlog_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k13_grzlog_1)))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1))) =>  (! [C] :  (m2_subset_1(C, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (r2_tarski(C, A) => r2_grzlog_1(A, B, C)) ) ) ) ) ) ) ).
fof(t16_grzlog_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k13_grzlog_1)))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1))) =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(k13_grzlog_1)))  =>  ~ ( (r3_grzlog_1(A, B, C) &  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(k13_grzlog_1)))  =>  ~ ( (r1_tarski(C, D) & v6_grzlog_1(D, A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_grzlog_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k13_grzlog_1)))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1))) =>  (! [C] :  (m2_subset_1(C, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(k13_grzlog_1)))  =>  ( (r3_grzlog_1(A, B, D) & r2_hidden(k4_tarski(D, C), B))  => r2_grzlog_1(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t18_grzlog_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k13_grzlog_1)))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1))) =>  (! [C] :  (m2_subset_1(C, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  ~ ( (r2_grzlog_1(A, B, C) &  ( ~ (r2_tarski(C, A))  &  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(k13_grzlog_1)))  =>  ~ ( (r2_hidden(k4_tarski(D, C), B) & r3_grzlog_1(A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_grzlog_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k13_grzlog_1)))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k13_grzlog_1)))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1))) =>  (! [E] :  (m2_subset_1(E, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  ( (r1_tarski(A, B) &  (r1_relset_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1, C, D) & r2_grzlog_1(A, C, E)) )  => r2_grzlog_1(B, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_grzlog_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k13_grzlog_1)))  =>  (! [B] :  (m2_subset_1(B, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [C] :  (m2_subset_1(C, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (r2_grzlog_1(A, k29_grzlog_1, k16_grzlog_1(B, C)) <=>  (r2_grzlog_1(A, k29_grzlog_1, B) & r2_grzlog_1(A, k29_grzlog_1, C)) ) ) ) ) ) ) ) ).
fof(t21_grzlog_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k13_grzlog_1)))  =>  (! [B] :  (m2_subset_1(B, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [C] :  (m2_subset_1(C, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  ( (r2_grzlog_1(A, k29_grzlog_1, B) & r2_grzlog_1(A, k29_grzlog_1, k17_grzlog_1(B, C)))  => r2_grzlog_1(A, k29_grzlog_1, C)) ) ) ) ) ) ) ).
fof(t22_grzlog_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k13_grzlog_1)))  =>  (! [B] :  (m2_subset_1(B, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [C] :  (m2_subset_1(C, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  ( (r2_grzlog_1(A, k29_grzlog_1, B) & r2_grzlog_1(A, k29_grzlog_1, k19_grzlog_1(B, C)))  => r2_grzlog_1(A, k29_grzlog_1, C)) ) ) ) ) ) ) ).
fof(t23_grzlog_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k13_grzlog_1)))  =>  (! [B] :  (m2_subset_1(B, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [C] :  (m2_subset_1(C, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (r2_grzlog_1(A, k29_grzlog_1, k16_grzlog_1(B, C)) => r2_grzlog_1(A, k29_grzlog_1, k16_grzlog_1(C, B))) ) ) ) ) ) ) ).
fof(d34_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (v7_grzlog_1(A) <=> r2_tarski(A, k21_grzlog_1)) ) ) ).
fof(d35_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (v8_grzlog_1(A) <=> r2_grzlog_1(k21_grzlog_1, k29_grzlog_1, A)) ) ) ).
fof(d36_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (v9_grzlog_1(A) <=> r2_tarski(A, k23_grzlog_1)) ) ) ).
fof(d37_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (v10_grzlog_1(A) <=> r2_grzlog_1(k23_grzlog_1, k29_grzlog_1, A)) ) ) ).
fof(t24_grzlog_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k13_grzlog_1)))  =>  (! [B] :  (m2_subset_1(B, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [C] :  (m2_subset_1(C, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  ( (r1_tarski(k21_grzlog_1, A) & r2_grzlog_1(A, k29_grzlog_1, k17_grzlog_1(B, C)))  => r2_grzlog_1(A, k29_grzlog_1, k17_grzlog_1(C, B))) ) ) ) ) ) ) ).
fof(t25_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [B] :  (m2_subset_1(B, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (v8_grzlog_1(k17_grzlog_1(A, B)) => v8_grzlog_1(k17_grzlog_1(B, A))) ) ) ) ) ).
fof(t26_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [B] :  (m2_subset_1(B, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (v10_grzlog_1(k17_grzlog_1(A, B)) => v10_grzlog_1(k17_grzlog_1(B, A))) ) ) ) ) ).
fof(t27_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [B] :  (m2_subset_1(B, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [C] :  (m2_subset_1(C, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  ( (v10_grzlog_1(k17_grzlog_1(A, B)) & v10_grzlog_1(k17_grzlog_1(B, C)))  => v10_grzlog_1(k17_grzlog_1(A, C))) ) ) ) ) ) ) ).
fof(t28_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) => v10_grzlog_1(k17_grzlog_1(A, A))) ) ).
fof(d38_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [B] :  (m2_subset_1(B, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (r4_grzlog_1(A, B) <=> v10_grzlog_1(k17_grzlog_1(A, B))) ) ) ) ) ).
fof(t29_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [B] :  (m2_subset_1(B, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (r4_grzlog_1(A, B) => r4_grzlog_1(k15_grzlog_1(A), k15_grzlog_1(B))) ) ) ) ) ).
fof(t30_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [B] :  (m2_subset_1(B, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [C] :  (m2_subset_1(C, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [D] :  (m2_subset_1(D, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  ( (r4_grzlog_1(A, B) & r4_grzlog_1(C, D))  => r4_grzlog_1(k16_grzlog_1(A, C), k16_grzlog_1(B, D))) ) ) ) ) ) ) ) ) ).
fof(t31_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [B] :  (m2_subset_1(B, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [C] :  (m2_subset_1(C, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [D] :  (m2_subset_1(D, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  ( (r4_grzlog_1(A, B) & r4_grzlog_1(C, D))  => r4_grzlog_1(k17_grzlog_1(A, C), k17_grzlog_1(B, D))) ) ) ) ) ) ) ) ) ).
fof(d39_grzlog_1, axiom,  (! [A] :  ( (v1_partfun1(A, k13_grzlog_1) &  (v3_relat_2(A) &  (v8_relat_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k13_grzlog_1, k13_grzlog_1)))) ) )  =>  (A=k32_grzlog_1 <=>  (! [B] :  (m2_subset_1(B, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [C] :  (m2_subset_1(C, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (r2_hidden(k4_tarski(B, C), A) <=> r4_grzlog_1(B, C)) ) ) ) ) ) ) ) ).
fof(d40_grzlog_1, axiom, k33_grzlog_1=k8_eqrel_1(k13_grzlog_1, k32_grzlog_1)).
fof(d41_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) => k34_grzlog_1(A)=k6_eqrel_1(k13_grzlog_1, k13_grzlog_1, k32_grzlog_1, A)) ) ).
fof(t32_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [B] :  (m2_subset_1(B, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (r4_grzlog_1(A, B) <=> k34_grzlog_1(A)=k34_grzlog_1(B)) ) ) ) ) ).
fof(t33_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k33_grzlog_1) =>  (? [B] :  (m2_subset_1(B, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) & A=k34_grzlog_1(B)) ) ) ) ).
fof(d42_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k33_grzlog_1) =>  (v11_grzlog_1(A) <=>  (? [B] :  (m2_subset_1(B, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) &  (A=k34_grzlog_1(B) & v10_grzlog_1(B)) ) ) ) ) ) ).
fof(d43_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k33_grzlog_1) =>  (! [B] :  (m1_subset_1(B, k33_grzlog_1) =>  (B=k35_grzlog_1(A) <=>  (? [C] :  (m2_subset_1(C, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) &  (A=k34_grzlog_1(C) & B=k34_grzlog_1(k15_grzlog_1(C))) ) ) ) ) ) ) ) ).
fof(d44_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k33_grzlog_1) =>  (! [B] :  (m1_subset_1(B, k33_grzlog_1) =>  (! [C] :  (m1_subset_1(C, k33_grzlog_1) =>  (C=k36_grzlog_1(A, B) <=>  (? [D] :  (m2_subset_1(D, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) &  (? [E] :  (m2_subset_1(E, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) &  (A=k34_grzlog_1(D) &  (B=k34_grzlog_1(E) & C=k34_grzlog_1(k16_grzlog_1(D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d45_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k33_grzlog_1) =>  (! [B] :  (m1_subset_1(B, k33_grzlog_1) =>  (! [C] :  (m1_subset_1(C, k33_grzlog_1) =>  (C=k37_grzlog_1(A, B) <=>  (? [D] :  (m2_subset_1(D, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) &  (? [E] :  (m2_subset_1(E, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) &  (A=k34_grzlog_1(D) &  (B=k34_grzlog_1(E) & C=k34_grzlog_1(k17_grzlog_1(D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d46_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k33_grzlog_1) =>  (! [B] :  (m1_subset_1(B, k33_grzlog_1) => k38_grzlog_1(A, B)=k35_grzlog_1(k36_grzlog_1(k35_grzlog_1(A), k35_grzlog_1(B)))) ) ) ) ).
fof(d47_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k33_grzlog_1) =>  (! [B] :  (m1_subset_1(B, k33_grzlog_1) => k39_grzlog_1(A, B)=k37_grzlog_1(A, k36_grzlog_1(A, B))) ) ) ) ).
fof(t34_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (v11_grzlog_1(k34_grzlog_1(A)) => v10_grzlog_1(A)) ) ) ).
fof(t35_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k33_grzlog_1) =>  (! [B] :  (m1_subset_1(B, k33_grzlog_1) =>  (v11_grzlog_1(k36_grzlog_1(A, B)) <=>  (v11_grzlog_1(A) & v11_grzlog_1(B)) ) ) ) ) ) ).
fof(t36_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k33_grzlog_1) =>  (! [B] :  (m1_subset_1(B, k33_grzlog_1) =>  (v11_grzlog_1(k37_grzlog_1(A, B)) <=> A=B) ) ) ) ) ).
fof(t37_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) => k34_grzlog_1(k15_grzlog_1(A))=k35_grzlog_1(k34_grzlog_1(A))) ) ).
fof(t38_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [B] :  (m2_subset_1(B, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) => k34_grzlog_1(k16_grzlog_1(A, B))=k36_grzlog_1(k34_grzlog_1(A), k34_grzlog_1(B))) ) ) ) ).
fof(t39_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [B] :  (m2_subset_1(B, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) => k34_grzlog_1(k17_grzlog_1(A, B))=k37_grzlog_1(k34_grzlog_1(A), k34_grzlog_1(B))) ) ) ) ).
fof(t40_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [B] :  (m2_subset_1(B, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) => k34_grzlog_1(k18_grzlog_1(A, B))=k38_grzlog_1(k34_grzlog_1(A), k34_grzlog_1(B))) ) ) ) ).
fof(t41_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [B] :  (m2_subset_1(B, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) => k34_grzlog_1(k19_grzlog_1(A, B))=k39_grzlog_1(k34_grzlog_1(A), k34_grzlog_1(B))) ) ) ) ).
fof(t42_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k33_grzlog_1) =>  (! [B] :  (m1_subset_1(B, k33_grzlog_1) =>  (! [C] :  (m1_subset_1(C, k33_grzlog_1) => k36_grzlog_1(k36_grzlog_1(A, B), C)=k36_grzlog_1(A, k36_grzlog_1(B, C))) ) ) ) ) ) ).
fof(t43_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k33_grzlog_1) =>  (! [B] :  (m1_subset_1(B, k33_grzlog_1) =>  (v11_grzlog_1(k39_grzlog_1(A, B)) <=> A=k36_grzlog_1(A, B)) ) ) ) ) ).
fof(t44_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k33_grzlog_1) =>  (! [B] :  (m1_subset_1(B, k33_grzlog_1) =>  (! [C] :  (m1_subset_1(C, k33_grzlog_1) =>  ( (v11_grzlog_1(k39_grzlog_1(A, B)) & v11_grzlog_1(k39_grzlog_1(B, C)))  => v11_grzlog_1(k39_grzlog_1(A, C))) ) ) ) ) ) ) ).
fof(t45_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [B] :  (m2_subset_1(B, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [C] :  (m2_subset_1(C, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  ( (v10_grzlog_1(k19_grzlog_1(A, B)) & v10_grzlog_1(k19_grzlog_1(B, C)))  => v10_grzlog_1(k19_grzlog_1(A, C))) ) ) ) ) ) ) ).
fof(t46_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k33_grzlog_1) =>  (! [B] :  (m1_subset_1(B, k33_grzlog_1) =>  (! [C] :  (m1_subset_1(C, k33_grzlog_1) => k38_grzlog_1(A, k38_grzlog_1(B, C))=k38_grzlog_1(k38_grzlog_1(A, B), C)) ) ) ) ) ) ).
fof(t47_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k33_grzlog_1) =>  (! [B] :  (m1_subset_1(B, k33_grzlog_1) =>  (! [C] :  (m1_subset_1(C, k33_grzlog_1) => k36_grzlog_1(A, k38_grzlog_1(B, C))=k38_grzlog_1(k36_grzlog_1(A, B), k36_grzlog_1(A, C))) ) ) ) ) ) ).
fof(t48_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k33_grzlog_1) =>  (! [B] :  (m1_subset_1(B, k33_grzlog_1) =>  (! [C] :  (m1_subset_1(C, k33_grzlog_1) => k38_grzlog_1(A, k36_grzlog_1(B, C))=k36_grzlog_1(k38_grzlog_1(A, B), k38_grzlog_1(A, C))) ) ) ) ) ) ).
fof(t49_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k33_grzlog_1) =>  (! [B] :  (m1_subset_1(B, k33_grzlog_1) =>  ( (v11_grzlog_1(k39_grzlog_1(A, B)) & v11_grzlog_1(k39_grzlog_1(B, A)))  <=> A=B) ) ) ) ) ).
fof(t50_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k33_grzlog_1) =>  (! [B] :  (m1_subset_1(B, k33_grzlog_1) =>  (v11_grzlog_1(A) => v11_grzlog_1(k38_grzlog_1(A, B))) ) ) ) ) ).
fof(s1_grzlog_1, axiom,  ( ( (! [A] :  (m1_subset_1(A, f1_s1_grzlog_1) =>  (! [B] :  (m1_subset_1(B, f1_s1_grzlog_1) =>  (! [C] :  (m1_subset_1(C, f1_s1_grzlog_1) =>  ( (p1_s1_grzlog_1(A, B) & p1_s1_grzlog_1(B, C))  => p1_s1_grzlog_1(A, C)) ) ) ) ) ) )  &  ( (! [A] :  (m1_subset_1(A, f1_s1_grzlog_1) =>  (! [B] :  (m1_subset_1(B, f1_s1_grzlog_1) => p1_s1_grzlog_1(f2_s1_grzlog_1(A, B), f2_s1_grzlog_1(B, A))) ) ) )  &  (! [A] :  (m1_subset_1(A, f1_s1_grzlog_1) =>  (! [B] :  (m1_subset_1(B, f1_s1_grzlog_1) =>  (! [C] :  (m1_subset_1(C, f1_s1_grzlog_1) =>  (p1_s1_grzlog_1(A, B) => p1_s1_grzlog_1(f2_s1_grzlog_1(A, C), f2_s1_grzlog_1(B, C))) ) ) ) ) ) ) ) )  =>  (! [A] :  (m1_subset_1(A, f1_s1_grzlog_1) =>  (! [B] :  (m1_subset_1(B, f1_s1_grzlog_1) =>  (! [C] :  (m1_subset_1(C, f1_s1_grzlog_1) =>  (! [D] :  (m1_subset_1(D, f1_s1_grzlog_1) =>  ( (p1_s1_grzlog_1(A, B) & p1_s1_grzlog_1(C, D))  => p1_s1_grzlog_1(f2_s1_grzlog_1(A, C), f2_s1_grzlog_1(B, D))) ) ) ) ) ) ) ) ) ) ).
fof(s2_grzlog_1, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s2_grzlog_1) =>  (! [B] :  (m1_subset_1(B, f1_s2_grzlog_1) =>  (r2_hidden(k4_tarski(A, B), f3_s2_grzlog_1) => r2_hidden(k4_tarski(f2_s2_grzlog_1(A), f2_s2_grzlog_1(B)), f3_s2_grzlog_1)) ) ) ) )  =>  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k8_eqrel_1(f1_s2_grzlog_1, f3_s2_grzlog_1), k8_eqrel_1(f1_s2_grzlog_1, f3_s2_grzlog_1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(f1_s2_grzlog_1, f3_s2_grzlog_1), k8_eqrel_1(f1_s2_grzlog_1, f3_s2_grzlog_1))))) )  &  (! [B] :  (m1_subset_1(B, f1_s2_grzlog_1) => k1_funct_1(A, k6_eqrel_1(f1_s2_grzlog_1, f1_s2_grzlog_1, f3_s2_grzlog_1, B))=k6_eqrel_1(f1_s2_grzlog_1, f1_s2_grzlog_1, f3_s2_grzlog_1, f2_s2_grzlog_1(B))) ) ) ) ) ).
fof(s3_grzlog_1, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s3_grzlog_1) =>  (! [B] :  (m1_subset_1(B, f1_s3_grzlog_1) =>  (! [C] :  (m1_subset_1(C, f1_s3_grzlog_1) =>  (! [D] :  (m1_subset_1(D, f1_s3_grzlog_1) =>  ( (r2_hidden(k4_tarski(A, B), f3_s3_grzlog_1) & r2_hidden(k4_tarski(C, D), f3_s3_grzlog_1))  => r2_hidden(k4_tarski(f2_s3_grzlog_1(A, C), f2_s3_grzlog_1(B, D)), f3_s3_grzlog_1)) ) ) ) ) ) ) ) )  =>  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k8_eqrel_1(f1_s3_grzlog_1, f3_s3_grzlog_1), k8_eqrel_1(f1_s3_grzlog_1, f3_s3_grzlog_1)), k8_eqrel_1(f1_s3_grzlog_1, f3_s3_grzlog_1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(f1_s3_grzlog_1, f3_s3_grzlog_1), k8_eqrel_1(f1_s3_grzlog_1, f3_s3_grzlog_1)), k8_eqrel_1(f1_s3_grzlog_1, f3_s3_grzlog_1))))) )  &  (! [B] :  (m1_subset_1(B, f1_s3_grzlog_1) =>  (! [C] :  (m1_subset_1(C, f1_s3_grzlog_1) => k1_binop_1(A, k6_eqrel_1(f1_s3_grzlog_1, f1_s3_grzlog_1, f3_s3_grzlog_1, B), k6_eqrel_1(f1_s3_grzlog_1, f1_s3_grzlog_1, f3_s3_grzlog_1, C))=k6_eqrel_1(f1_s3_grzlog_1, f1_s3_grzlog_1, f3_s3_grzlog_1, f2_s3_grzlog_1(B, C))) ) ) ) ) ) ) ).
fof(dt_k1_grzlog_1, axiom, v3_finseq_1(k1_grzlog_1)).
fof(dt_k2_grzlog_1, axiom,  (v1_relat_1(k2_grzlog_1) &  (v1_funct_1(k2_grzlog_1) & v1_finseq_1(k2_grzlog_1)) ) ).
fof(dt_k3_grzlog_1, axiom,  (v1_relat_1(k3_grzlog_1) &  (v1_funct_1(k3_grzlog_1) & v1_finseq_1(k3_grzlog_1)) ) ).
fof(dt_k4_grzlog_1, axiom,  (v1_relat_1(k4_grzlog_1) &  (v1_funct_1(k4_grzlog_1) & v1_finseq_1(k4_grzlog_1)) ) ).
fof(dt_k5_grzlog_1, axiom,  ( ~ (v1_xboole_0(k5_grzlog_1))  & v3_finseq_1(k5_grzlog_1)) ).
fof(dt_k6_grzlog_1, axiom,  ( ~ (v1_xboole_0(k6_grzlog_1))  &  (v3_finseq_1(k6_grzlog_1) & v3_polnot_1(k6_grzlog_1)) ) ).
fof(redefinition_k6_grzlog_1, axiom, k6_grzlog_1=k5_grzlog_1).
fof(dt_k7_grzlog_1, axiom,  ( ~ (v1_xboole_0(k7_grzlog_1))  & v3_finseq_1(k7_grzlog_1)) ).
fof(dt_k8_grzlog_1, axiom, m1_subset_1(k8_grzlog_1, k7_grzlog_1)).
fof(redefinition_k8_grzlog_1, axiom, k8_grzlog_1=k2_grzlog_1).
fof(dt_k9_grzlog_1, axiom, m1_subset_1(k9_grzlog_1, k7_grzlog_1)).
fof(redefinition_k9_grzlog_1, axiom, k9_grzlog_1=k3_grzlog_1).
fof(dt_k10_grzlog_1, axiom, m1_subset_1(k10_grzlog_1, k7_grzlog_1)).
fof(redefinition_k10_grzlog_1, axiom, k10_grzlog_1=k4_grzlog_1).
fof(dt_k11_grzlog_1, axiom,  (v1_funct_1(k11_grzlog_1) &  (v1_funct_2(k11_grzlog_1, k6_grzlog_1, k4_ordinal1) & m1_subset_1(k11_grzlog_1, k1_zfmisc_1(k2_zfmisc_1(k6_grzlog_1, k4_ordinal1)))) ) ).
fof(dt_k12_grzlog_1, axiom, m1_polnot_1(k12_grzlog_1, k7_grzlog_1)).
fof(dt_k13_grzlog_1, axiom,  ( ~ (v1_xboole_0(k13_grzlog_1))  &  (v3_polnot_1(k13_grzlog_1) & m1_subset_1(k13_grzlog_1, k1_zfmisc_1(k5_polnot_1(k7_grzlog_1)))) ) ).
fof(dt_k14_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => m2_subset_1(k14_grzlog_1(A), k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1))) ) ).
fof(dt_k15_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) => m2_subset_1(k15_grzlog_1(A), k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1))) ) ).
fof(dt_k16_grzlog_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) & m1_subset_1(B, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)))  => m2_subset_1(k16_grzlog_1(A, B), k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1))) ) ).
fof(dt_k17_grzlog_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) & m1_subset_1(B, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)))  => m2_subset_1(k17_grzlog_1(A, B), k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1))) ) ).
fof(dt_k18_grzlog_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) & m1_subset_1(B, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)))  => m2_subset_1(k18_grzlog_1(A, B), k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1))) ) ).
fof(dt_k19_grzlog_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) & m1_subset_1(B, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)))  => m2_subset_1(k19_grzlog_1(A, B), k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1))) ) ).
fof(dt_k20_grzlog_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) & m1_subset_1(B, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)))  => m2_subset_1(k20_grzlog_1(A, B), k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1))) ) ).
fof(dt_k21_grzlog_1, axiom,  ( ~ (v1_xboole_0(k21_grzlog_1))  & m1_subset_1(k21_grzlog_1, k1_zfmisc_1(k13_grzlog_1))) ).
fof(dt_k22_grzlog_1, axiom,  ( ~ (v1_xboole_0(k22_grzlog_1))  & m1_subset_1(k22_grzlog_1, k1_zfmisc_1(k13_grzlog_1))) ).
fof(dt_k23_grzlog_1, axiom,  ( ~ (v1_xboole_0(k23_grzlog_1))  & m1_subset_1(k23_grzlog_1, k1_zfmisc_1(k13_grzlog_1))) ).
fof(dt_k24_grzlog_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1))))  => m1_subset_1(k24_grzlog_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1)))) ) ).
fof(commutativity_k24_grzlog_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1))))  => k24_grzlog_1(A, B)=k24_grzlog_1(B, A)) ) ).
fof(idempotence_k24_grzlog_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1))))  => k24_grzlog_1(A, A)=A) ) ).
fof(redefinition_k24_grzlog_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1))))  => k24_grzlog_1(A, B)=k2_xboole_0(A, B)) ) ).
fof(dt_k25_grzlog_1, axiom, m1_subset_1(k25_grzlog_1, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1)))).
fof(dt_k26_grzlog_1, axiom, m1_subset_1(k26_grzlog_1, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1)))).
fof(dt_k27_grzlog_1, axiom, m1_subset_1(k27_grzlog_1, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1)))).
fof(dt_k28_grzlog_1, axiom, m1_subset_1(k28_grzlog_1, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1)))).
fof(dt_k29_grzlog_1, axiom, m1_subset_1(k29_grzlog_1, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1)))).
fof(dt_k30_grzlog_1, axiom,  (! [A, B] :  ( ( (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k13_grzlog_1)))  &  (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k13_grzlog_1))) )  =>  (v1_finset_1(k30_grzlog_1(A, B)) & m1_subset_1(k30_grzlog_1(A, B), k1_zfmisc_1(k13_grzlog_1))) ) ) ).
fof(commutativity_k30_grzlog_1, axiom,  (! [A, B] :  ( ( (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k13_grzlog_1)))  &  (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k13_grzlog_1))) )  => k30_grzlog_1(A, B)=k30_grzlog_1(B, A)) ) ).
fof(idempotence_k30_grzlog_1, axiom,  (! [A, B] :  ( ( (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k13_grzlog_1)))  &  (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k13_grzlog_1))) )  => k30_grzlog_1(A, A)=A) ) ).
fof(redefinition_k30_grzlog_1, axiom,  (! [A, B] :  ( ( (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k13_grzlog_1)))  &  (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k13_grzlog_1))) )  => k30_grzlog_1(A, B)=k2_xboole_0(A, B)) ) ).
fof(dt_k31_grzlog_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k13_grzlog_1)))  & m1_subset_1(B, A))  => m2_finseq_1(k31_grzlog_1(A, B), k13_grzlog_1)) ) ).
fof(redefinition_k31_grzlog_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k13_grzlog_1)))  & m1_subset_1(B, A))  => k31_grzlog_1(A, B)=k5_finseq_1(B)) ) ).
fof(symmetry_r4_grzlog_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) & m1_subset_1(B, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)))  =>  (r4_grzlog_1(A, B) => r4_grzlog_1(B, A)) ) ) ).
fof(reflexivity_r4_grzlog_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) & m1_subset_1(B, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)))  => r4_grzlog_1(A, A)) ) ).
fof(dt_f1_s1_grzlog_1, axiom,  ~ (v1_xboole_0(f1_s1_grzlog_1)) ).
fof(dt_f2_s1_grzlog_1, axiom,  (! [A, B] : m1_subset_1(f2_s1_grzlog_1(A, B), f1_s1_grzlog_1)) ).
fof(dt_k32_grzlog_1, axiom,  (v1_partfun1(k32_grzlog_1, k13_grzlog_1) &  (v3_relat_2(k32_grzlog_1) &  (v8_relat_2(k32_grzlog_1) & m1_subset_1(k32_grzlog_1, k1_zfmisc_1(k2_zfmisc_1(k13_grzlog_1, k13_grzlog_1)))) ) ) ).
fof(dt_k33_grzlog_1, axiom,  ( ~ (v1_xboole_0(k33_grzlog_1))  & m1_subset_1(k33_grzlog_1, k1_zfmisc_1(k1_zfmisc_1(k13_grzlog_1)))) ).
fof(dt_k34_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) => m1_subset_1(k34_grzlog_1(A), k33_grzlog_1)) ) ).
fof(dt_f1_s2_grzlog_1, axiom,  ~ (v1_xboole_0(f1_s2_grzlog_1)) ).
fof(dt_f2_s2_grzlog_1, axiom,  (! [A] : m1_subset_1(f2_s2_grzlog_1(A), f1_s2_grzlog_1)) ).
fof(dt_f3_s2_grzlog_1, axiom,  (v1_partfun1(f3_s2_grzlog_1, f1_s2_grzlog_1) &  (v3_relat_2(f3_s2_grzlog_1) &  (v8_relat_2(f3_s2_grzlog_1) & m1_subset_1(f3_s2_grzlog_1, k1_zfmisc_1(k2_zfmisc_1(f1_s2_grzlog_1, f1_s2_grzlog_1)))) ) ) ).
fof(dt_f1_s3_grzlog_1, axiom,  ~ (v1_xboole_0(f1_s3_grzlog_1)) ).
fof(dt_f2_s3_grzlog_1, axiom,  (! [A, B] : m1_subset_1(f2_s3_grzlog_1(A, B), f1_s3_grzlog_1)) ).
fof(dt_f3_s3_grzlog_1, axiom,  (v1_partfun1(f3_s3_grzlog_1, f1_s3_grzlog_1) &  (v3_relat_2(f3_s3_grzlog_1) &  (v8_relat_2(f3_s3_grzlog_1) & m1_subset_1(f3_s3_grzlog_1, k1_zfmisc_1(k2_zfmisc_1(f1_s3_grzlog_1, f1_s3_grzlog_1)))) ) ) ).
fof(dt_k35_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k33_grzlog_1) => m1_subset_1(k35_grzlog_1(A), k33_grzlog_1)) ) ).
fof(involutiveness_k35_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k33_grzlog_1) => k35_grzlog_1(k35_grzlog_1(A))=A) ) ).
fof(dt_k36_grzlog_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k33_grzlog_1) & m1_subset_1(B, k33_grzlog_1))  => m1_subset_1(k36_grzlog_1(A, B), k33_grzlog_1)) ) ).
fof(commutativity_k36_grzlog_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k33_grzlog_1) & m1_subset_1(B, k33_grzlog_1))  => k36_grzlog_1(A, B)=k36_grzlog_1(B, A)) ) ).
fof(idempotence_k36_grzlog_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k33_grzlog_1) & m1_subset_1(B, k33_grzlog_1))  => k36_grzlog_1(A, A)=A) ) ).
fof(dt_k37_grzlog_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k33_grzlog_1) & m1_subset_1(B, k33_grzlog_1))  => m1_subset_1(k37_grzlog_1(A, B), k33_grzlog_1)) ) ).
fof(commutativity_k37_grzlog_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k33_grzlog_1) & m1_subset_1(B, k33_grzlog_1))  => k37_grzlog_1(A, B)=k37_grzlog_1(B, A)) ) ).
fof(dt_k38_grzlog_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k33_grzlog_1) & m1_subset_1(B, k33_grzlog_1))  => m1_subset_1(k38_grzlog_1(A, B), k33_grzlog_1)) ) ).
fof(commutativity_k38_grzlog_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k33_grzlog_1) & m1_subset_1(B, k33_grzlog_1))  => k38_grzlog_1(A, B)=k38_grzlog_1(B, A)) ) ).
fof(idempotence_k38_grzlog_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k33_grzlog_1) & m1_subset_1(B, k33_grzlog_1))  => k38_grzlog_1(A, A)=A) ) ).
fof(dt_k39_grzlog_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k33_grzlog_1) & m1_subset_1(B, k33_grzlog_1))  => m1_subset_1(k39_grzlog_1(A, B), k33_grzlog_1)) ) ).
fof(d1_grzlog_1, axiom, k1_grzlog_1=a_0_0_grzlog_1).
fof(d24_grzlog_1, axiom, k25_grzlog_1=a_0_1_grzlog_1).
fof(d25_grzlog_1, axiom, k26_grzlog_1=a_0_2_grzlog_1).
fof(d26_grzlog_1, axiom, k27_grzlog_1=a_0_3_grzlog_1).
fof(d27_grzlog_1, axiom, k28_grzlog_1=a_0_4_grzlog_1).
fof(fraenkel_a_0_0_grzlog_1, axiom,  (! [A] :  (r2_hidden(A, a_0_0_grzlog_1) <=>  (? [B] :  (m1_subset_1(B, k4_ordinal1) & A=k10_finseq_1(k5_numbers, B)) ) ) ) ).
fof(fraenkel_a_0_1_grzlog_1, axiom,  (! [A] :  (r2_hidden(A, a_0_1_grzlog_1) <=>  (? [B, C] :  ( (m2_subset_1(B, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) & m2_subset_1(C, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)))  & A=k4_tarski(k2_tarski(B, k17_grzlog_1(B, C)), C)) ) ) ) ).
fof(fraenkel_a_0_2_grzlog_1, axiom,  (! [A] :  (r2_hidden(A, a_0_2_grzlog_1) <=>  (? [B, C] :  ( (m2_subset_1(B, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) & m2_subset_1(C, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)))  & A=k4_tarski(k2_tarski(B, C), k16_grzlog_1(B, C))) ) ) ) ).
fof(fraenkel_a_0_3_grzlog_1, axiom,  (! [A] :  (r2_hidden(A, a_0_3_grzlog_1) <=>  (? [B, C] :  ( (m2_subset_1(B, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) & m2_subset_1(C, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)))  & A=k4_tarski(k1_tarski(k16_grzlog_1(B, C)), B)) ) ) ) ).
fof(fraenkel_a_0_4_grzlog_1, axiom,  (! [A] :  (r2_hidden(A, a_0_4_grzlog_1) <=>  (? [B, C] :  ( (m2_subset_1(B, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)) & m2_subset_1(C, k5_polnot_1(k7_grzlog_1), k20_polnot_1(k7_grzlog_1, k12_grzlog_1)))  & A=k4_tarski(k1_tarski(k16_grzlog_1(B, C)), C)) ) ) ) ).
fof(rc1_gtarski1, axiom,  (? [A] :  (l1_gtarski1(A) & v1_gtarski1(A)) ) ).
fof(rc2_gtarski1, axiom,  (? [A] :  (l2_gtarski1(A) & v10_gtarski1(A)) ) ).
fof(cc1_gtarski1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  =>  (! [B] :  (m1_gtarski1(B, A) =>  ~ (v2_struct_0(B)) ) ) ) ) ).
fof(cc2_gtarski1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) & l1_metric_1(A)) )  =>  (! [B] :  (m1_gtarski1(B, A) => v6_metric_1(B)) ) ) ) ).
fof(cc3_gtarski1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_metric_1(A) & l1_metric_1(A)) )  =>  (! [B] :  (m1_gtarski1(B, A) => v7_metric_1(B)) ) ) ) ).
fof(cc4_gtarski1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_metric_1(A) & l1_metric_1(A)) )  =>  (! [B] :  (m1_gtarski1(B, A) => v8_metric_1(B)) ) ) ) ).
fof(cc5_gtarski1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_metric_1(A) & l1_metric_1(A)) )  =>  (! [B] :  (m1_gtarski1(B, A) => v9_metric_1(B)) ) ) ) ).
fof(rc3_gtarski1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  =>  (? [B] :  (m1_gtarski1(B, A) &  ( ~ (v2_struct_0(B))  & v11_gtarski1(B)) ) ) ) ) ).
fof(rc4_gtarski1, axiom,  (? [A] :  (l1_metric_1(A) &  ( ~ (v2_struct_0(A))  &  (v7_struct_0(A) &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) & v9_metric_1(A)) ) ) ) ) ) ) ).
fof(fc1_gtarski1, axiom,  ( ~ (v2_struct_0(k1_gtarski1))  & v7_struct_0(k1_gtarski1)) ).
fof(fc2_gtarski1, axiom,  (v2_gtarski1(k1_gtarski1) &  (v3_gtarski1(k1_gtarski1) &  (v4_gtarski1(k1_gtarski1) &  (v5_gtarski1(k1_gtarski1) &  (v6_gtarski1(k1_gtarski1) &  (v7_gtarski1(k1_gtarski1) & v8_gtarski1(k1_gtarski1)) ) ) ) ) ) ).
fof(fc3_gtarski1, axiom, v9_gtarski1(k1_gtarski1)).
fof(rc5_gtarski1, axiom,  (? [A] :  (l1_gtarski1(A) &  ( ~ (v2_struct_0(A))  & v9_gtarski1(A)) ) ) ).
fof(cc6_gtarski1, axiom,  (! [A] :  (l1_gtarski1(A) =>  ( (v2_gtarski1(A) &  (v3_gtarski1(A) &  (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v6_gtarski1(A) &  (v7_gtarski1(A) & v8_gtarski1(A)) ) ) ) ) )  => v9_gtarski1(A)) ) ) ).
fof(cc7_gtarski1, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v9_gtarski1(A) =>  (v2_gtarski1(A) &  (v3_gtarski1(A) &  (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v6_gtarski1(A) &  (v7_gtarski1(A) & v8_gtarski1(A)) ) ) ) ) ) ) ) ) ).
fof(fc4_gtarski1, axiom,  ( ~ (v2_struct_0(k2_gtarski1))  &  (v6_metric_1(k2_gtarski1) & v8_metric_1(k2_gtarski1)) ) ).
fof(fc5_gtarski1, axiom, v12_gtarski1(k2_gtarski1)).
fof(fc6_gtarski1, axiom,  (v2_gtarski1(k2_gtarski1) &  (v3_gtarski1(k2_gtarski1) &  (v5_gtarski1(k2_gtarski1) &  (v6_gtarski1(k2_gtarski1) & v8_gtarski1(k2_gtarski1)) ) ) ) ).
fof(fc7_gtarski1, axiom,  ~ (v2_struct_0(k3_gtarski1)) ).
fof(fc8_gtarski1, axiom,  (v6_metric_1(k3_gtarski1) &  (v7_metric_1(k3_gtarski1) & v8_metric_1(k3_gtarski1)) ) ).
fof(cc8_gtarski1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k3_gtarski1)) => v1_xreal_0(A)) ) ).
fof(cc9_gtarski1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k7_metric_1)) => v1_xreal_0(A)) ) ).
fof(fc9_gtarski1, axiom,  (v2_gtarski1(k3_gtarski1) &  (v3_gtarski1(k3_gtarski1) &  (v4_gtarski1(k3_gtarski1) &  (v5_gtarski1(k3_gtarski1) & v7_gtarski1(k3_gtarski1)) ) ) ) ).
fof(d1_gtarski1, axiom,  (! [A] :  (l1_gtarski1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_gtarski1(A, B, C, D) <=> r2_hidden(k4_tarski(k4_tarski(B, C), D), u1_gtarski1(A))) ) ) ) ) ) ) ) ) ).
fof(d2_gtarski1, axiom,  (! [A] :  (l1_gtarski1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_gtarski1(A, B, C, D, E) <=> r2_hidden(k4_tarski(k4_tarski(B, C), k4_tarski(D, E)), u2_gtarski1(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_gtarski1, axiom,  (! [A] :  (l1_gtarski1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r3_gtarski1(A, B, C, D, E, F, G) <=>  (r2_gtarski1(A, B, C, E, F) &  (r2_gtarski1(A, B, D, E, G) & r2_gtarski1(A, C, D, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_gtarski1, axiom,  (! [A] :  (l1_gtarski1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r4_gtarski1(A, B, C, D, E) <=>  (r1_gtarski1(A, B, C, D) &  (r1_gtarski1(A, B, C, E) &  (r1_gtarski1(A, B, D, E) & r1_gtarski1(A, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_gtarski1, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v2_gtarski1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_gtarski1(A, B, C, C, B)) ) ) ) ) ) ) ).
fof(d6_gtarski1, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v3_gtarski1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_gtarski1(A, B, C, D, E) & r2_gtarski1(A, B, C, F, G))  => r2_gtarski1(A, D, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_gtarski1, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v4_gtarski1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_gtarski1(A, B, C, D, D) => B=C) ) ) ) ) ) ) ) ) ) ).
fof(d8_gtarski1, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v5_gtarski1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (r1_gtarski1(A, C, B, F) & r2_gtarski1(A, B, F, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_gtarski1, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v6_gtarski1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  ( (r3_gtarski1(A, B, C, D, F, G, H) &  (r1_gtarski1(A, B, C, E) &  (r1_gtarski1(A, F, G, I) & r2_gtarski1(A, C, E, G, I)) ) )  =>  (B=C | r2_gtarski1(A, D, E, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_gtarski1, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v7_gtarski1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_gtarski1(A, B, C, B) => B=C) ) ) ) ) ) ) ) ).
fof(d11_gtarski1, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v8_gtarski1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r1_gtarski1(A, B, D, F) &  (r1_gtarski1(A, C, E, F) &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( (r1_gtarski1(A, D, G, C) & r1_gtarski1(A, E, G, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_gtarski1, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v9_gtarski1(A) <=>  (v2_gtarski1(A) &  (v3_gtarski1(A) &  (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v6_gtarski1(A) &  (v7_gtarski1(A) & v8_gtarski1(A)) ) ) ) ) ) ) ) ) ).
fof(d13_gtarski1, axiom,  (! [A] :  (l1_metric_1(A) =>  (! [B] :  (l2_gtarski1(B) =>  (m1_gtarski1(B, A) <=> g1_metric_1(u1_struct_0(B), u1_metric_1(B))=g1_metric_1(u1_struct_0(A), u1_metric_1(A))) ) ) ) ) ).
fof(d14_gtarski1, axiom,  (! [A] :  (l1_metric_1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r5_gtarski1(A, B, C, D) <=> k1_metric_1(A, B, D)=k2_xcmplx_0(k1_metric_1(A, B, C), k1_metric_1(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(d15_gtarski1, axiom,  (! [A] :  (l2_gtarski1(A) =>  (v11_gtarski1(A) <=>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_gtarski1(A, B, C, D) <=> r5_gtarski1(A, B, C, D)) ) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_gtarski1(A, B, C, D, E) <=> k1_metric_1(A, B, C)=k1_metric_1(A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_gtarski1, axiom,  (! [A] :  (l1_metric_1(A) =>  (! [B] :  (l1_metric_1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( (g1_metric_1(u1_struct_0(A), u1_metric_1(A))=g1_metric_1(u1_struct_0(B), u1_metric_1(B)) &  (C=E & D=F) )  => k1_metric_1(A, C, D)=k1_metric_1(B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_gtarski1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_struct_0(A) &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r5_gtarski1(A, C, B, D)) ) ) ) ) ) ) ) ).
fof(t3_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_gtarski1(A, B, C, C, B)) ) ) ) ) ) ).
fof(t4_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_gtarski1(A, B, C, D, E) & r2_gtarski1(A, B, C, F, G))  => r2_gtarski1(A, D, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_gtarski1(A, B, C, D, D) => B=C) ) ) ) ) ) ) ) ) ).
fof(t6_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (r1_gtarski1(A, E, B, F) & r2_gtarski1(A, B, F, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  ( (r3_gtarski1(A, B, C, D, F, G, H) &  (r1_gtarski1(A, B, C, E) &  (r1_gtarski1(A, F, G, I) & r2_gtarski1(A, C, E, G, I)) ) )  =>  (B=C | r2_gtarski1(A, D, E, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_gtarski1(A, B, C, B) => B=C) ) ) ) ) ) ) ).
fof(t9_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r1_gtarski1(A, B, D, F) &  (r1_gtarski1(A, C, E, F) &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( (r1_gtarski1(A, D, G, C) & r1_gtarski1(A, E, G, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_gtarski1(A, B, C, B, C)) ) ) ) ) ) ).
fof(t11_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_gtarski1(A, B, C, D, E) => r2_gtarski1(A, D, E, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_gtarski1(A, B, C, D, E) & r2_gtarski1(A, D, E, F, G))  => r2_gtarski1(A, B, C, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_gtarski1(A, B, B, B) & r2_gtarski1(A, B, B, C, C)) ) ) ) ) ) ) ).
fof(t14_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_gtarski1(A, C, B, B)) ) ) ) ) ) ).
fof(t15_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_gtarski1(A, B, C, D) &  (r1_gtarski1(A, B, C, E) & r2_gtarski1(A, C, D, C, E)) )  =>  (B=C | D=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_gtarski1(A, B, C, D) => r1_gtarski1(A, D, C, B)) ) ) ) ) ) ) ) ) ).
fof(t17_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_gtarski1(A, B, B, C)) ) ) ) ) ) ).
fof(t18_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_gtarski1(A, B, C, D) & r1_gtarski1(A, C, B, D))  => B=C) ) ) ) ) ) ) ) ) ).
fof(t19_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_gtarski1(A, B, C, E) & r1_gtarski1(A, C, D, E))  => r1_gtarski1(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_gtarski1(A, B, C, D) & r1_gtarski1(A, C, D, E))  =>  (C=D | r1_gtarski1(A, B, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_gtarski1(A, B, C, D) & r1_gtarski1(A, C, D, E))  =>  (C=D | r4_gtarski1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_gtarski1(A, B, C, E) & r1_gtarski1(A, C, D, E))  => r4_gtarski1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_gtarski1(A, B, C, E) & r1_gtarski1(A, C, D, E))  => r4_gtarski1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r1_gtarski1(A, B, C, D) &  (r1_gtarski1(A, E, F, G) &  (r2_gtarski1(A, B, C, E, F) & r2_gtarski1(A, C, D, F, G)) ) )  => r2_gtarski1(A, B, D, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_gtarski1(A, B, C, D, E) => r2_gtarski1(A, C, B, E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_gtarski1(A, B, C, D) &  (r1_gtarski1(A, B, C, E) & r2_gtarski1(A, B, D, B, E)) )  =>  (B=C | D=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r1_gtarski1(A, B, C, D) &  (r1_gtarski1(A, E, F, G) &  (r2_gtarski1(A, B, C, E, F) & r2_gtarski1(A, B, D, E, G)) ) )  => r2_gtarski1(A, C, D, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (D=B)  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r1_gtarski1(A, C, D, E) &  (r1_gtarski1(A, B, D, F) & r3_gtarski1(A, E, F, D, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_gtarski1(A, B, C, D) & r1_gtarski1(A, B, D, E))  => r4_gtarski1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  (r1_gtarski1(A, B, C, D) &  (r1_gtarski1(A, B, C, E) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r4_gtarski1(A, B, C, D, F) & r4_gtarski1(A, B, C, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  (r1_gtarski1(A, B, C, D) &  (r1_gtarski1(A, B, C, E) &  ( ~ (C=D)  &  ( ~ (C=E)  & r1_gtarski1(A, D, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  ( (r3_gtarski1(A, B, C, D, F, G, H) &  (r1_gtarski1(A, B, E, D) &  (r1_gtarski1(A, F, I, H) & r2_gtarski1(A, D, E, H, I)) ) )  => r2_gtarski1(A, C, E, G, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r1_gtarski1(A, B, C, F) &  (r1_gtarski1(A, B, D, E) &  (r2_gtarski1(A, C, F, C, D) &  (r2_gtarski1(A, D, E, C, D) &  (r2_gtarski1(A, F, E, C, D) &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( (r1_gtarski1(A, C, G, E) &  (r1_gtarski1(A, D, G, F) &  (r2_gtarski1(A, C, G, E, G) & r2_gtarski1(A, D, G, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r1_gtarski1(A, C, D, E) &  (r2_gtarski1(A, B, E, B, C) &  (r2_gtarski1(A, C, D, E, D) &  ( ~ (B=C)  &  ( ~ (D=C)  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ~ ( (r1_gtarski1(A, F, G, H) &  (r1_gtarski1(A, G, B, E) &  (r1_gtarski1(A, D, B, F) &  (r3_gtarski1(A, G, B, F, G, B, H) &  (r2_gtarski1(A, G, B, D, B) & r2_gtarski1(A, F, G, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r1_gtarski1(A, B, C, D) &  (r2_gtarski1(A, B, E, B, F) & r2_gtarski1(A, C, E, C, F)) )  =>  (B=C | r2_gtarski1(A, D, E, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r1_gtarski1(A, B, F, C) &  (r2_gtarski1(A, B, D, B, E) & r2_gtarski1(A, C, D, C, E)) )  => r2_gtarski1(A, F, D, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  (r1_gtarski1(A, B, C, D) &  (r1_gtarski1(A, B, C, E) &  ( ~ (r1_gtarski1(A, C, E, D))  &  ~ (r1_gtarski1(A, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_gtarski1, axiom,  (! [A] :  (l1_gtarski1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r6_gtarski1(A, B, C, D) <=>  ~ ( ( ~ (r1_gtarski1(A, B, C, D))  &  ( ~ (r1_gtarski1(A, C, D, B))  &  ~ (r1_gtarski1(A, D, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r7_gtarski1(A, B, C, D) <=>  ( ~ (B=C)  &  ~ ( ( ~ (r1_gtarski1(A, B, C, D))  &  ( ~ (r1_gtarski1(A, C, D, B))  &  ~ (r1_gtarski1(A, D, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r8_gtarski1(A, B, C, D, E) <=>  ( ~ (B=C)  &  ( ~ (D=E)  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r7_gtarski1(A, B, C, F) <=> r7_gtarski1(A, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r7_gtarski1(A, B, C, E) & r7_gtarski1(A, B, C, D))  =>  (B=C |  (B=E | r7_gtarski1(A, B, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r7_gtarski1(A, B, C, D) =>  (B=C |  (B=D | r8_gtarski1(A, B, C, B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (B=C)  => r8_gtarski1(A, B, C, B, C)) ) ) ) ) ) ) ).
fof(t41_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (B=C)  => r8_gtarski1(A, B, C, C, B)) ) ) ) ) ) ) ).
fof(t42_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r8_gtarski1(A, B, C, D, E) =>  (B=C |  (D=E | r8_gtarski1(A, D, E, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r8_gtarski1(A, B, C, D, E) & r8_gtarski1(A, D, E, F, G))  =>  (B=C |  (D=E |  (F=G | r8_gtarski1(A, B, C, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r7_gtarski1(A, B, C, F) & r8_gtarski1(A, B, C, D, E))  => r7_gtarski1(A, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r7_gtarski1(A, B, C, D) =>  (B=C |  (C=D | r8_gtarski1(A, B, C, D, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_gtarski1, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r7_gtarski1(A, D, E, B) & r7_gtarski1(A, D, E, C))  =>  (B=C |  (D=E | r8_gtarski1(A, D, E, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d21_gtarski1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  =>  (v12_gtarski1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_metric_1(A, B, C)=k5_ordinal1) ) ) ) ) ) ) ).
fof(t47_gtarski1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k7_metric_1)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k7_metric_1)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_metric_1)) =>  (r2_tarski(B, k1_xxreal_1(A, C)) => r5_gtarski1(k7_metric_1, A, B, C)) ) ) ) ) ) ) ).
fof(abstractness_v1_gtarski1, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v1_gtarski1(A) => A=g1_gtarski1(u1_struct_0(A), u1_gtarski1(A), u2_gtarski1(A))) ) ) ).
fof(dt_l1_gtarski1, axiom,  (! [A] :  (l1_gtarski1(A) => l1_struct_0(A)) ) ).
fof(existence_l1_gtarski1, axiom,  (? [A] : l1_gtarski1(A)) ).
fof(dt_g1_gtarski1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k2_zfmisc_1(A, A)))))  =>  (v1_gtarski1(g1_gtarski1(A, B, C)) & l1_gtarski1(g1_gtarski1(A, B, C))) ) ) ).
fof(free_g1_gtarski1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k2_zfmisc_1(A, A)))))  =>  (! [D, E, F] :  (g1_gtarski1(A, B, C)=g1_gtarski1(D, E, F) =>  (A=D &  (B=E & C=F) ) ) ) ) ) ).
fof(dt_u1_gtarski1, axiom,  (! [A] :  (l1_gtarski1(A) => m1_subset_1(u1_gtarski1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A))))) ) ).
fof(dt_u2_gtarski1, axiom,  (! [A] :  (l1_gtarski1(A) => m1_subset_1(u2_gtarski1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))))) ) ).
fof(abstractness_v10_gtarski1, axiom,  (! [A] :  (l2_gtarski1(A) =>  (v10_gtarski1(A) => A=g2_gtarski1(u1_struct_0(A), u1_metric_1(A), u1_gtarski1(A), u2_gtarski1(A))) ) ) ).
fof(dt_l2_gtarski1, axiom,  (! [A] :  (l2_gtarski1(A) =>  (l1_metric_1(A) & l1_gtarski1(A)) ) ) ).
fof(existence_l2_gtarski1, axiom,  (? [A] : l2_gtarski1(A)) ).
fof(dt_g2_gtarski1, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) )  &  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k2_zfmisc_1(A, A))))) )  =>  (v10_gtarski1(g2_gtarski1(A, B, C, D)) & l2_gtarski1(g2_gtarski1(A, B, C, D))) ) ) ).
fof(free_g2_gtarski1, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) )  &  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k2_zfmisc_1(A, A))))) )  =>  (! [E, F, G, H] :  (g2_gtarski1(A, B, C, D)=g2_gtarski1(E, F, G, H) =>  (A=E &  (B=F &  (C=G & D=H) ) ) ) ) ) ) ).
fof(dt_m1_gtarski1, axiom,  (! [A] :  (l1_metric_1(A) =>  (! [B] :  (m1_gtarski1(B, A) => l2_gtarski1(B)) ) ) ) ).
fof(existence_m1_gtarski1, axiom,  (! [A] :  (l1_metric_1(A) =>  (? [B] : m1_gtarski1(B, A)) ) ) ).
fof(dt_k1_gtarski1, axiom, l2_gtarski1(k1_gtarski1)).
fof(dt_k2_gtarski1, axiom, l2_gtarski1(k2_gtarski1)).
fof(dt_k3_gtarski1, axiom, l2_gtarski1(k3_gtarski1)).
fof(d16_gtarski1, axiom, k1_gtarski1=o_0_0_gtarski1).
fof(d20_gtarski1, axiom, k2_gtarski1=o_0_2_gtarski1).
fof(d22_gtarski1, axiom, k3_gtarski1=o_0_3_gtarski1).
fof(dt_o_0_0_gtarski1, axiom,  (v11_gtarski1(o_0_0_gtarski1) & m1_gtarski1(o_0_0_gtarski1, o_0_1_gtarski1)) ).
fof(dt_o_0_1_gtarski1, axiom,  ( ~ (v2_struct_0(o_0_1_gtarski1))  &  (v7_struct_0(o_0_1_gtarski1) &  (v6_metric_1(o_0_1_gtarski1) &  (v7_metric_1(o_0_1_gtarski1) &  (v8_metric_1(o_0_1_gtarski1) &  (v9_metric_1(o_0_1_gtarski1) & l1_metric_1(o_0_1_gtarski1)) ) ) ) ) ) ).
fof(dt_o_0_2_gtarski1, axiom,  (v11_gtarski1(o_0_2_gtarski1) & m1_gtarski1(o_0_2_gtarski1, k12_metric_1)) ).
fof(dt_o_0_3_gtarski1, axiom,  (v11_gtarski1(o_0_3_gtarski1) & m1_gtarski1(o_0_3_gtarski1, k7_metric_1)) ).
fof(fc1_gtarski2, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ (v2_struct_0(k1_gtarski2(A))) ) ) ).
fof(fc2_gtarski2, axiom,  (v6_metric_1(k2_gtarski2) &  (v7_metric_1(k2_gtarski2) & v8_metric_1(k2_gtarski2)) ) ).
fof(fc3_gtarski2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v6_metric_1(k1_gtarski2(A)) &  (v7_metric_1(k1_gtarski2(A)) & v8_metric_1(k1_gtarski2(A))) ) ) ) ).
fof(fc4_gtarski2, axiom,  (v2_gtarski1(k2_gtarski2) &  (v3_gtarski1(k2_gtarski2) &  (v4_gtarski1(k2_gtarski2) &  (v5_gtarski1(k2_gtarski2) &  (v6_gtarski1(k2_gtarski2) &  (v7_gtarski1(k2_gtarski2) & v8_gtarski1(k2_gtarski2)) ) ) ) ) ) ).
fof(fc5_gtarski2, axiom, v9_gtarski1(k2_gtarski2)).
fof(fc6_gtarski2, axiom,  (v1_gtarski2(k2_gtarski2) &  (v2_gtarski2(k2_gtarski2) &  (v3_gtarski2(k2_gtarski2) & v4_gtarski2(k2_gtarski2)) ) ) ).
fof(t1_gtarski2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (k1_square_1(A)=k6_xcmplx_0(k2_xcmplx_0(k1_square_1(B), k1_square_1(C)), k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, B), C), D)) =>  (B=k5_numbers |  (C=k5_numbers | D=k7_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k1_square_1(A), k1_square_1(B)), k1_square_1(C)), k4_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, B), C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_gtarski2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) => k3_rlvect_1(k15_euclid(A), B, k1_rlvect_1(k15_euclid(A), C, k5_numbers))=B) ) ) ) ) ) ).
fof(t3_gtarski2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(A))) =>  (k5_algstr_0(k15_euclid(A), k1_rlvect_1(k15_euclid(A), D, B), k1_rlvect_1(k15_euclid(A), E, B))=k5_algstr_0(k15_euclid(A), k1_rlvect_1(k15_euclid(A), F, C), k1_rlvect_1(k15_euclid(A), D, C)) => k1_rlvect_1(k15_euclid(A), D, k2_xcmplx_0(B, C))=k3_rlvect_1(k15_euclid(A), k1_rlvect_1(k15_euclid(A), E, B), k1_rlvect_1(k15_euclid(A), F, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_gtarski2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  ~ ( (r1_xxreal_0(k5_numbers, k7_xcmplx_0(A, k2_xcmplx_0(A, B))) & r1_xxreal_0(k7_xcmplx_0(A, k2_xcmplx_0(A, B)), 1)) ) ) ) ) ) ) ) ) ).
fof(t5_gtarski2, axiom,  (! [A] :  (v1_xreal_0(A) => k19_sin_cos(k6_xcmplx_0(k3_xcmplx_0(3, k28_sin_cos), A))=k4_xcmplx_0(k19_sin_cos(A))) ) ).
fof(t6_gtarski2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (k5_algstr_0(k15_euclid(A), B, D)=k5_algstr_0(k15_euclid(A), C, D) => B=C) ) ) ) ) ) ) ) ) ).
fof(t7_gtarski2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) => k5_algstr_0(k15_euclid(A), k5_algstr_0(k15_euclid(A), D, B), k5_algstr_0(k15_euclid(A), C, B))=k5_algstr_0(k15_euclid(A), D, C)) ) ) ) ) ) ) ) ).
fof(t8_gtarski2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => k1_topreal6(2, k19_euclid(A, B), k19_euclid(C, D))=k3_square_1(k2_xcmplx_0(k1_square_1(k6_xcmplx_0(A, C)), k1_square_1(k6_xcmplx_0(B, D))))) ) ) ) ) ) ) ) ).
fof(t9_gtarski2, axiom, k1_topreal6(2, k19_euclid(k5_numbers, k5_numbers), k19_euclid(1, k5_numbers))=1).
fof(t10_gtarski2, axiom, k1_topreal6(2, k19_euclid(k5_numbers, k5_numbers), k19_euclid(k5_numbers, 1))=1).
fof(t11_gtarski2, axiom, k1_topreal6(2, k19_euclid(1, k5_numbers), k19_euclid(k5_numbers, 1))=k3_square_1(2)).
fof(d2_gtarski2, axiom, k2_gtarski2=k1_gtarski2(2)).
fof(d3_gtarski2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_gtarski2(A))) => k3_gtarski2(A, B)=B) ) ) ) ).
fof(d4_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_gtarski2)) => k4_gtarski2(A)=A) ) ).
fof(d5_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_gtarski2)) => k5_gtarski2(A)=A) ) ).
fof(d6_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_gtarski2)) => k6_gtarski2(A)=A) ) ).
fof(t12_gtarski2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_gtarski2(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_gtarski2(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  ( (B=D & C=E)  =>  (k3_metric_1(k1_gtarski2(A), B, C)=k1_binop_1(k13_euclid(A), D, E) & k3_metric_1(k1_gtarski2(A), B, C)=k12_euclid(k5_algstr_0(k15_euclid(A), D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_gtarski2)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_gtarski2)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_gtarski2)) => k1_square_1(k3_metric_1(k2_gtarski2, C, A))=k6_xcmplx_0(k2_xcmplx_0(k1_square_1(k3_metric_1(k2_gtarski2, A, B)), k1_square_1(k3_metric_1(k2_gtarski2, B, C))), k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, k3_metric_1(k2_gtarski2, A, B)), k3_metric_1(k2_gtarski2, B, C)), k19_sin_cos(k4_euclid_3(k4_gtarski2(A), k4_gtarski2(B), k4_gtarski2(C)))))) ) ) ) ) ) ).
fof(t14_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_gtarski2)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_gtarski2)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_gtarski2)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_gtarski2)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_gtarski2)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_gtarski2)) =>  ( (k4_euclid_3(k4_gtarski2(D), k4_gtarski2(C), k4_gtarski2(A))=k7_xcmplx_0(k4_euclid_3(k4_gtarski2(B), k4_gtarski2(C), k4_gtarski2(A)), 3) &  (k4_euclid_3(k4_gtarski2(C), k4_gtarski2(A), k4_gtarski2(D))=k7_xcmplx_0(k4_euclid_3(k4_gtarski2(C), k4_gtarski2(A), k4_gtarski2(B)), 3) &  (k4_euclid_3(k4_gtarski2(A), k4_gtarski2(B), k4_gtarski2(E))=k7_xcmplx_0(k4_euclid_3(k4_gtarski2(A), k4_gtarski2(B), k4_gtarski2(C)), 3) &  (k4_euclid_3(k4_gtarski2(E), k4_gtarski2(A), k4_gtarski2(B))=k7_xcmplx_0(k4_euclid_3(k4_gtarski2(C), k4_gtarski2(A), k4_gtarski2(B)), 3) &  (k4_euclid_3(k4_gtarski2(B), k4_gtarski2(C), k4_gtarski2(F))=k7_xcmplx_0(k4_euclid_3(k4_gtarski2(B), k4_gtarski2(C), k4_gtarski2(A)), 3) & k4_euclid_3(k4_gtarski2(F), k4_gtarski2(B), k4_gtarski2(C))=k7_xcmplx_0(k4_euclid_3(k4_gtarski2(A), k4_gtarski2(B), k4_gtarski2(C)), 3)) ) ) ) )  =>  (r1_rltopsp1(k15_euclid(2), k4_gtarski2(A), k4_gtarski2(B), k4_gtarski2(C)) |  (r1_xxreal_0(k28_sin_cos, k4_euclid_3(k4_gtarski2(A), k4_gtarski2(B), k4_gtarski2(C))) |  (k3_metric_1(k2_gtarski2, E, D)=k3_metric_1(k2_gtarski2, F, E) &  (k3_metric_1(k2_gtarski2, E, D)=k3_metric_1(k2_gtarski2, D, F) & k3_metric_1(k2_gtarski2, F, E)=k3_metric_1(k2_gtarski2, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_gtarski2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_gtarski2(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_gtarski2(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k14_euclid(A))) =>  ( (B=D & C=E)  => k3_metric_1(k1_gtarski2(A), B, C)=k3_metric_1(k14_euclid(A), D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_gtarski2)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_gtarski2)) => k3_metric_1(k2_gtarski2, A, B)=k3_square_1(k2_xcmplx_0(k1_square_1(k6_xcmplx_0(k17_euclid(k4_gtarski2(A)), k17_euclid(k4_gtarski2(B)))), k1_square_1(k6_xcmplx_0(k18_euclid(k4_gtarski2(A)), k18_euclid(k4_gtarski2(B))))))) ) ) ) ).
fof(t17_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_gtarski2)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_gtarski2)) =>  (k3_metric_1(k2_gtarski2, A, B)=k12_euclid(k5_algstr_0(k15_euclid(2), k4_gtarski2(A), k4_gtarski2(B))) & k3_metric_1(k2_gtarski2, A, B)=k12_euclid(k8_euclid(2, k6_gtarski2(A), k6_gtarski2(B)))) ) ) ) ) ).
fof(t18_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_gtarski2)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_gtarski2)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_gtarski2)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_gtarski2)) =>  (k12_euclid(k5_algstr_0(k15_euclid(2), k4_gtarski2(A), k4_gtarski2(B)))=k12_euclid(k5_algstr_0(k15_euclid(2), k4_gtarski2(C), k4_gtarski2(D))) <=> r2_gtarski1(k2_gtarski2, A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t19_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_gtarski2)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_gtarski2)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_gtarski2)) =>  (r5_gtarski1(k2_gtarski2, B, A, C) <=> r2_tarski(k4_gtarski2(A), k1_rltopsp1(k15_euclid(2), k4_gtarski2(B), k4_gtarski2(C)))) ) ) ) ) ) ) ).
fof(t20_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_gtarski2)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_gtarski2)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_gtarski2)) =>  (r1_gtarski1(k2_gtarski2, A, B, C) <=> r2_tarski(k4_gtarski2(B), k1_rltopsp1(k15_euclid(2), k4_gtarski2(A), k4_gtarski2(C)))) ) ) ) ) ) ) ).
fof(t21_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_gtarski2)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_gtarski2)) =>  (r1_gtarski1(k2_gtarski2, A, A, B) & r1_gtarski1(k2_gtarski2, A, B, B)) ) ) ) ) ).
fof(t22_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_gtarski2)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_gtarski2)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_gtarski2)) =>  (r1_gtarski1(k2_gtarski2, A, B, C) => r1_gtarski1(k2_gtarski2, C, B, A)) ) ) ) ) ) ) ).
fof(t23_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_gtarski2)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_gtarski2)) =>  (r1_gtarski1(k2_gtarski2, A, B, A) => A=B) ) ) ) ) ).
fof(t24_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_gtarski2)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_gtarski2)) =>  (A=B <=> k3_metric_1(k2_gtarski2, A, B)=k5_numbers) ) ) ) ) ).
fof(t25_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_gtarski2)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_gtarski2)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_gtarski2)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_gtarski2)) =>  (k2_xcmplx_0(k3_metric_1(k2_gtarski2, A, B), k3_metric_1(k2_gtarski2, C, D))=k5_numbers =>  (A=B & C=D) ) ) ) ) ) ) ) ) ) ).
fof(t26_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_gtarski2)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_gtarski2)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_gtarski2)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_gtarski2)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_gtarski2)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_gtarski2)) =>  (r3_gtarski1(k2_gtarski2, A, B, C, D, E, F) <=>  (k3_metric_1(k2_gtarski2, A, B)=k3_metric_1(k2_gtarski2, D, E) &  (k3_metric_1(k2_gtarski2, A, C)=k3_metric_1(k2_gtarski2, D, F) & k3_metric_1(k2_gtarski2, B, C)=k3_metric_1(k2_gtarski2, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_gtarski2)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_gtarski2)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_gtarski2)) =>  (r1_gtarski1(k2_gtarski2, A, B, C) <=> k3_metric_1(k2_gtarski2, A, C)=k2_xcmplx_0(k3_metric_1(k2_gtarski2, A, B), k3_metric_1(k2_gtarski2, B, C))) ) ) ) ) ) ) ).
fof(t28_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_gtarski2)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_gtarski2)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_gtarski2)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_gtarski2)) =>  (k1_square_1(k3_metric_1(k2_gtarski2, A, B))=k1_square_1(k3_metric_1(k2_gtarski2, C, D)) <=> r2_gtarski1(k2_gtarski2, A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t29_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_gtarski2)) => r1_gtarski1(k2_gtarski2, A, A, A)) ) ).
fof(t30_gtarski2, axiom,  ( ~ (v7_struct_0(k2_analoaf(k15_euclid(2))))  &  (v2_analoaf(k2_analoaf(k15_euclid(2))) & l1_analoaf(k2_analoaf(k15_euclid(2)))) ) ).
fof(t31_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_analoaf(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_analoaf(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_analoaf(k15_euclid(2)))) =>  (r1_diraf(k2_analoaf(k15_euclid(2)), A, B, C) <=>  ~ ( ( ~ (A=B)  &  ( ~ (B=C)  &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ~ ( (D=A &  (E=C & r2_tarski(B, k1_rltopsp1(k15_euclid(2), D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_analoaf(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_analoaf(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_analoaf(k15_euclid(2)))) =>  (r1_diraf(k2_analoaf(k15_euclid(2)), A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) &  (? [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) &  (D=A &  (E=C & r2_tarski(B, k1_rltopsp1(k15_euclid(2), D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_analoaf(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_analoaf(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_analoaf(k15_euclid(2)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_gtarski2)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_gtarski2)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_gtarski2)) =>  ( (A=D &  (B=E & C=F) )  =>  (r1_diraf(k2_analoaf(k15_euclid(2)), A, B, C) <=> r1_gtarski1(k2_gtarski2, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(B, k1_rltopsp1(k15_euclid(2), A, C)) & r2_tarski(C, k1_rltopsp1(k15_euclid(2), A, D)))  => r2_tarski(B, k1_rltopsp1(k15_euclid(2), A, D))) ) ) ) ) ) ) ) ) ).
fof(t35_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(B, k1_rltopsp1(k15_euclid(2), A, C)) & r2_tarski(C, k1_rltopsp1(k15_euclid(2), B, D)))  =>  (B=C | r2_tarski(C, k1_rltopsp1(k15_euclid(2), A, D))) ) ) ) ) ) ) ) ) ) ).
fof(t36_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_gtarski2)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_gtarski2)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_gtarski2)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_gtarski2)) =>  ( (r1_gtarski1(k2_gtarski2, A, B, C) & r1_gtarski1(k2_gtarski2, A, C, D))  => r1_gtarski1(k2_gtarski2, A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t37_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(B, k1_rltopsp1(k15_euclid(2), A, C)) & r2_tarski(D, k1_rltopsp1(k15_euclid(2), A, B)))  => r2_tarski(B, k1_rltopsp1(k15_euclid(2), D, C))) ) ) ) ) ) ) ) ) ).
fof(t38_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_gtarski2)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_gtarski2)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_gtarski2)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_gtarski2)) =>  ( (r1_gtarski1(k2_gtarski2, A, B, C) & r1_gtarski1(k2_gtarski2, A, D, B))  => r1_gtarski1(k2_gtarski2, D, B, C)) ) ) ) ) ) ) ) ) ).
fof(t39_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_gtarski2)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_gtarski2)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_gtarski2)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_gtarski2)) =>  ( (r1_gtarski1(k2_gtarski2, A, B, C) & r1_gtarski1(k2_gtarski2, B, C, D))  =>  (B=C | r1_gtarski1(k2_gtarski2, A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t40_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_gtarski2)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_gtarski2)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_gtarski2)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_gtarski2)) =>  ( (r1_gtarski1(k2_gtarski2, A, B, C) & r1_gtarski1(k2_gtarski2, B, C, D))  =>  (B=C | r1_gtarski1(k2_gtarski2, A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t41_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, k1_euclidlp(2)) =>  ~ ( (r2_tarski(A, D) &  (r2_tarski(B, D) &  (r2_tarski(C, D) &  ( ~ (r2_tarski(A, k1_rltopsp1(k15_euclid(2), B, C)))  &  ( ~ (r2_tarski(B, k1_rltopsp1(k15_euclid(2), C, A)))  &  ~ (r2_tarski(C, k1_rltopsp1(k15_euclid(2), A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_gtarski2)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_gtarski2)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_gtarski2)) =>  ~ ( (r2_tarski(k4_gtarski2(B), k1_rltopsp1(k15_euclid(2), k4_gtarski2(A), k4_gtarski2(C))) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( (r1_xxreal_0(k5_numbers, D) &  (r1_xxreal_0(D, 1) & k5_algstr_0(k15_euclid(2), k4_gtarski2(B), k4_gtarski2(A))=k1_rlvect_1(k15_euclid(2), k5_algstr_0(k15_euclid(2), k4_gtarski2(C), k4_gtarski2(A)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_gtarski2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_gtarski2(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_gtarski2(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_gtarski2(A))) =>  ~ ( (r2_tarski(k3_gtarski2(A, C), k1_rltopsp1(k15_euclid(A), k3_gtarski2(A, B), k3_gtarski2(A, D))) &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r1_xxreal_0(k5_numbers, E) &  (r1_xxreal_0(E, 1) & k5_algstr_0(k15_euclid(A), k3_gtarski2(A, C), k3_gtarski2(A, B))=k1_rlvect_1(k15_euclid(A), k5_algstr_0(k15_euclid(A), k3_gtarski2(A, D), k3_gtarski2(A, B)), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_gtarski2)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_gtarski2)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_gtarski2)) =>  ( (? [D] :  (v1_xreal_0(D) &  (r1_xxreal_0(k5_numbers, D) &  (r1_xxreal_0(D, 1) & k5_algstr_0(k15_euclid(2), k4_gtarski2(B), k4_gtarski2(A))=k1_rlvect_1(k15_euclid(2), k5_algstr_0(k15_euclid(2), k4_gtarski2(C), k4_gtarski2(A)), D)) ) ) )  => r2_tarski(k4_gtarski2(B), k1_rltopsp1(k15_euclid(2), k4_gtarski2(A), k4_gtarski2(C)))) ) ) ) ) ) ) ).
fof(d7_gtarski2, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v1_gtarski2(A) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  ( ~ (r1_gtarski1(A, B, C, D))  &  ( ~ (r1_gtarski1(A, C, D, B))  &  ~ (r1_gtarski1(A, D, B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_gtarski2, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v2_gtarski2(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( ( ~ (E=F)  &  (r2_gtarski1(A, B, E, B, F) &  (r2_gtarski1(A, C, E, C, F) &  (r2_gtarski1(A, D, E, D, F) &  ( ~ (r1_gtarski1(A, B, C, D))  &  ( ~ (r1_gtarski1(A, C, D, B))  &  ~ (r1_gtarski1(A, D, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_gtarski2, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v3_gtarski2(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r1_gtarski1(A, B, E, F) &  (r1_gtarski1(A, C, E, D) &  ( ~ (B=E)  &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ~ ( (r1_gtarski1(A, B, C, G) &  (r1_gtarski1(A, B, D, H) & r1_gtarski1(A, G, F, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_gtarski2, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v4_gtarski2(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_tarski(E, B) & r2_tarski(F, C))  => r1_gtarski1(A, D, E, F)) ) ) ) ) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (r2_tarski(E, B) &  (r2_tarski(F, C) &  ~ (r1_gtarski1(A, E, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_gtarski2, axiom,  (? [A] :  (m1_subset_1(A, u1_struct_0(k2_gtarski2)) &  (? [B] :  (m1_subset_1(B, u1_struct_0(k2_gtarski2)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(k2_gtarski2)) &  ( ~ (r1_gtarski1(k2_gtarski2, A, B, C))  &  ( ~ (r1_gtarski1(k2_gtarski2, B, C, A))  &  ~ (r1_gtarski1(k2_gtarski2, C, A, B)) ) ) ) ) ) ) ) ) ).
fof(t46_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_gtarski2)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_gtarski2)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_gtarski2)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_gtarski2)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_gtarski2)) =>  ~ ( ( ~ (D=E)  &  (r2_gtarski1(k2_gtarski2, A, D, A, E) &  (r2_gtarski1(k2_gtarski2, B, D, B, E) &  (r2_gtarski1(k2_gtarski2, C, D, C, E) &  ( ~ (r1_gtarski1(k2_gtarski2, A, B, C))  &  ( ~ (r1_gtarski1(k2_gtarski2, B, C, A))  &  ~ (r1_gtarski1(k2_gtarski2, C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_gtarski2)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_gtarski2)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_gtarski2)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_gtarski2)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_gtarski2)) =>  ~ ( (r1_gtarski1(k2_gtarski2, A, D, E) &  (r1_gtarski1(k2_gtarski2, B, D, C) &  ( ~ (A=D)  &  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_gtarski2)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k2_gtarski2)) =>  ~ ( (r1_gtarski1(k2_gtarski2, A, B, F) &  (r1_gtarski1(k2_gtarski2, A, C, G) & r1_gtarski1(k2_gtarski2, F, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k2_gtarski2))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k2_gtarski2))) =>  ~ ( ( (? [C] :  (m1_subset_1(C, u1_struct_0(k2_gtarski2)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_gtarski2)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_gtarski2)) =>  ( (r2_tarski(D, A) & r2_tarski(E, B))  => r1_gtarski1(k2_gtarski2, C, D, E)) ) ) ) ) ) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_gtarski2)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(k2_gtarski2)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(k2_gtarski2)) &  (r2_tarski(D, A) &  (r2_tarski(E, B) &  ~ (r1_gtarski1(k2_gtarski2, D, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k2_gtarski2))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k2_gtarski2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_gtarski2)) =>  ~ ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(k2_gtarski2)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_gtarski2)) =>  ( (r2_tarski(D, A) & r2_tarski(E, B))  => r1_gtarski1(k2_gtarski2, C, D, E)) ) ) ) )  &  (r2_tarski(C, B) &  ( ~ (A=k1_tarski(C))  &  ~ (v1_xboole_0(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k2_gtarski2))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k2_gtarski2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_gtarski2)) =>  ~ ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(k2_gtarski2)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_gtarski2)) =>  ( (r2_tarski(D, A) & r2_tarski(E, B))  => r1_gtarski1(k2_gtarski2, C, D, E)) ) ) ) )  &  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ ( (v1_zfmisc_1(A) & A=k1_tarski(C)) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_gtarski2)) =>  ~ ( (r1_tarski(A, k5_rltopsp1(k15_euclid(2), k4_gtarski2(C), k4_gtarski2(D))) & r1_tarski(B, k5_rltopsp1(k15_euclid(2), k4_gtarski2(C), k4_gtarski2(D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_gtarski2, axiom,  (! [A] :  (v7_ordinal1(A) => l2_gtarski1(k1_gtarski2(A))) ) ).
fof(dt_k2_gtarski2, axiom, l2_gtarski1(k2_gtarski2)).
fof(dt_k3_gtarski2, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, u1_struct_0(k1_gtarski2(A))))  => m1_subset_1(k3_gtarski2(A, B), u1_struct_0(k15_euclid(A)))) ) ).
fof(dt_k4_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_gtarski2)) => m1_subset_1(k4_gtarski2(A), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k5_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_gtarski2)) => m1_subset_1(k5_gtarski2(A), u1_struct_0(k14_euclid(2)))) ) ).
fof(dt_k6_gtarski2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_gtarski2)) => m2_finseq_2(k6_gtarski2(A), k1_numbers, k1_euclid(2))) ) ).
fof(d1_gtarski2, axiom,  (! [A] :  (v7_ordinal1(A) => k1_gtarski2(A)=o_1_0_gtarski2(A)) ) ).
fof(dt_o_1_0_gtarski2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v11_gtarski1(o_1_0_gtarski2(A)) & m1_gtarski1(o_1_0_gtarski2(A), k14_euclid(A))) ) ) ).
fof(cc1_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  ( (v2_gtarski1(A) &  (v3_gtarski1(A) & v1_gtarski3(A)) )  =>  (v2_gtarski1(A) &  (v3_gtarski1(A) & v6_gtarski1(A)) ) ) ) ) ).
fof(cc2_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  ( (v2_gtarski1(A) &  (v3_gtarski1(A) & v6_gtarski1(A)) )  =>  (v2_gtarski1(A) &  (v3_gtarski1(A) & v1_gtarski3(A)) ) ) ) ) ).
fof(rc1_gtarski3, axiom,  (? [A] :  (l1_gtarski1(A) &  (v2_gtarski1(A) &  (v3_gtarski1(A) &  (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v6_gtarski1(A) &  (v7_gtarski1(A) &  (v8_gtarski1(A) &  (v9_gtarski1(A) &  (v1_gtarski2(A) & v1_gtarski3(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_gtarski3, axiom,  (? [A] :  (l1_gtarski1(A) &  ( ~ (v2_struct_0(A))  &  (v2_gtarski1(A) &  (v3_gtarski1(A) &  (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v6_gtarski1(A) &  (v7_gtarski1(A) &  (v8_gtarski1(A) &  (v9_gtarski1(A) &  (v1_gtarski2(A) & v1_gtarski3(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc3_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v2_gtarski3(A) => v2_gtarski1(A)) ) ) ).
fof(cc4_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v3_gtarski3(A) => v3_gtarski1(A)) ) ) ).
fof(cc5_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v4_gtarski3(A) => v4_gtarski1(A)) ) ) ).
fof(cc6_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v5_gtarski3(A) => v5_gtarski1(A)) ) ) ).
fof(cc7_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v7_gtarski3(A) => v7_gtarski1(A)) ) ) ).
fof(cc8_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v8_gtarski3(A) => v8_gtarski1(A)) ) ) ).
fof(cc9_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v9_gtarski3(A) => v1_gtarski2(A)) ) ) ).
fof(cc10_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v10_gtarski3(A) => v2_gtarski2(A)) ) ) ).
fof(cc11_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v11_gtarski3(A) => v3_gtarski2(A)) ) ) ).
fof(cc12_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v12_gtarski3(A) => v4_gtarski2(A)) ) ) ).
fof(cc13_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v2_gtarski1(A) => v2_gtarski3(A)) ) ) ).
fof(cc14_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v3_gtarski1(A) => v3_gtarski3(A)) ) ) ).
fof(cc15_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v4_gtarski1(A) => v4_gtarski3(A)) ) ) ).
fof(cc16_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v5_gtarski1(A) => v5_gtarski3(A)) ) ) ).
fof(cc17_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v7_gtarski1(A) => v7_gtarski3(A)) ) ) ).
fof(cc18_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v8_gtarski1(A) => v8_gtarski3(A)) ) ) ).
fof(cc19_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v1_gtarski2(A) => v9_gtarski3(A)) ) ) ).
fof(cc20_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v2_gtarski2(A) => v10_gtarski3(A)) ) ) ).
fof(cc21_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v3_gtarski2(A) => v11_gtarski3(A)) ) ) ).
fof(cc22_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  ( ( ~ (v2_struct_0(A))  & v4_gtarski2(A))  =>  ( ~ (v2_struct_0(A))  & v12_gtarski3(A)) ) ) ) ).
fof(rc3_gtarski3, axiom,  (? [A] :  (l1_gtarski1(A) &  (v2_gtarski3(A) & v3_gtarski3(A)) ) ) ).
fof(cc23_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  ( (v2_gtarski3(A) &  (v3_gtarski3(A) & v6_gtarski3(A)) )  =>  (v6_gtarski1(A) &  (v2_gtarski3(A) & v3_gtarski3(A)) ) ) ) ) ).
fof(rc4_gtarski3, axiom,  (? [A] :  (l1_gtarski1(A) &  (v2_gtarski1(A) &  (v3_gtarski1(A) &  (v2_gtarski3(A) &  (v3_gtarski3(A) & v6_gtarski3(A)) ) ) ) ) ) ).
fof(cc24_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  ( (v2_gtarski3(A) &  (v3_gtarski3(A) & v13_gtarski3(A)) )  =>  (v2_gtarski3(A) &  (v3_gtarski3(A) & v6_gtarski3(A)) ) ) ) ) ).
fof(rc5_gtarski3, axiom,  (? [A] :  (l1_gtarski1(A) &  (v3_gtarski3(A) & v5_gtarski3(A)) ) ) ).
fof(rc6_gtarski3, axiom,  (? [A] :  (l1_gtarski1(A) &  (v2_gtarski1(A) &  (v3_gtarski1(A) &  (v2_gtarski3(A) &  (v3_gtarski3(A) & v13_gtarski3(A)) ) ) ) ) ) ).
fof(rc7_gtarski3, axiom,  (? [A] :  (l1_gtarski1(A) &  (v2_gtarski1(A) &  (v3_gtarski1(A) &  (v6_gtarski1(A) &  (v1_gtarski3(A) &  (v2_gtarski3(A) &  (v3_gtarski3(A) &  (v5_gtarski3(A) &  (v6_gtarski3(A) & v13_gtarski3(A)) ) ) ) ) ) ) ) ) ) ).
fof(cc25_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  ( (v3_gtarski3(A) &  (v5_gtarski3(A) & v13_gtarski3(A)) )  => v14_gtarski3(A)) ) ) ).
fof(rc8_gtarski3, axiom,  (? [A] :  (l1_gtarski1(A) &  (v4_gtarski1(A) &  (v4_gtarski3(A) & v14_gtarski3(A)) ) ) ) ).
fof(rc9_gtarski3, axiom,  (? [A] :  (l1_gtarski1(A) &  (v4_gtarski1(A) &  (v4_gtarski3(A) &  (v5_gtarski3(A) & v14_gtarski3(A)) ) ) ) ) ).
fof(rc10_gtarski3, axiom,  (? [A] :  (l1_gtarski1(A) &  ( ~ (v2_struct_0(A))  &  (v7_struct_0(A) &  (v4_gtarski1(A) & v4_gtarski3(A)) ) ) ) ) ).
fof(rc11_gtarski3, axiom,  (? [A] :  (l1_gtarski1(A) &  ( ~ (v2_struct_0(A))  &  (v7_struct_0(A) &  (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v4_gtarski3(A) & v5_gtarski3(A)) ) ) ) ) ) ) ).
fof(rc12_gtarski3, axiom,  (? [A] :  (l1_gtarski1(A) &  ( ~ (v2_struct_0(A))  &  (v3_gtarski1(A) &  (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v3_gtarski3(A) &  (v4_gtarski3(A) &  (v5_gtarski3(A) & v14_gtarski3(A)) ) ) ) ) ) ) ) ) ).
fof(rc13_gtarski3, axiom,  (? [A] :  (l1_gtarski1(A) &  ( ~ (v2_struct_0(A))  &  (v3_gtarski1(A) &  (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v3_gtarski3(A) &  (v4_gtarski3(A) &  (v5_gtarski3(A) & v13_gtarski3(A)) ) ) ) ) ) ) ) ) ).
fof(cc26_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  ( (v2_gtarski3(A) &  (v3_gtarski3(A) & v6_gtarski3(A)) )  => v13_gtarski3(A)) ) ) ).
fof(cc27_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_gtarski3(A) &  (v4_gtarski3(A) &  (v5_gtarski3(A) & v13_gtarski3(A)) ) ) )  =>  ( ~ (v2_struct_0(A))  & v6_gtarski3(A)) ) ) ) ).
fof(cc28_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_gtarski3(A) &  (v4_gtarski3(A) &  (v5_gtarski3(A) & v13_gtarski3(A)) ) ) )  =>  ( ~ (v2_struct_0(A))  & v2_gtarski3(A)) ) ) ) ).
fof(cc29_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_gtarski3(A) &  (v4_gtarski3(A) &  (v5_gtarski3(A) & v13_gtarski3(A)) ) ) )  =>  ( ~ (v2_struct_0(A))  & v6_gtarski1(A)) ) ) ) ).
fof(rc14_gtarski3, axiom,  (? [A] :  (l1_gtarski1(A) &  ( ~ (v2_struct_0(A))  &  (v2_gtarski3(A) &  (v3_gtarski3(A) &  (v4_gtarski3(A) &  (v5_gtarski3(A) &  (v6_gtarski3(A) &  (v7_gtarski3(A) &  (v8_gtarski3(A) &  (v9_gtarski3(A) &  (v10_gtarski3(A) &  (v11_gtarski3(A) & v12_gtarski3(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_gtarski3, axiom,  (! [A] :  ( (v2_gtarski1(A) &  (v3_gtarski1(A) & l1_gtarski1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_gtarski1(A, B, C, B, C)) ) ) ) ) ) ).
fof(t2_gtarski3, axiom,  (! [A] :  ( (v3_gtarski1(A) &  (v5_gtarski1(A) & l1_gtarski1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_gtarski1(A, B, C, B, C)) ) ) ) ) ) ).
fof(t3_gtarski3, axiom,  (! [A] :  ( (v2_gtarski1(A) &  (v3_gtarski1(A) & l1_gtarski1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_gtarski1(A, B, C, D, E) => r2_gtarski1(A, D, E, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_gtarski3, axiom,  (! [A] :  ( (v3_gtarski1(A) &  (v5_gtarski1(A) & l1_gtarski1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_gtarski1(A, B, C, D, E) => r2_gtarski1(A, D, E, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_gtarski3, axiom,  (! [A] :  ( (v2_gtarski1(A) &  (v3_gtarski1(A) & l1_gtarski1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_gtarski1(A, B, C, D, E) & r2_gtarski1(A, D, E, F, G))  => r2_gtarski1(A, B, C, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_gtarski3, axiom,  (! [A] :  ( (v2_gtarski1(A) &  (v3_gtarski1(A) & l1_gtarski1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_gtarski1(A, B, C, D, E) => r2_gtarski1(A, C, B, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_gtarski3, axiom,  (! [A] :  ( (v2_gtarski1(A) &  (v3_gtarski1(A) & l1_gtarski1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_gtarski1(A, B, C, D, E) => r2_gtarski1(A, B, C, E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_gtarski3, axiom,  (! [A] :  ( (v4_gtarski1(A) &  (v5_gtarski1(A) & l1_gtarski1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_gtarski1(A, B, B, C, C)) ) ) ) ) ) ).
fof(d1_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v1_gtarski3(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  ( (r1_gtarski1(A, B, C, D) &  (r1_gtarski1(A, F, G, H) &  (r2_gtarski1(A, B, C, F, G) &  (r2_gtarski1(A, C, D, G, H) &  (r2_gtarski1(A, B, E, F, I) & r2_gtarski1(A, C, E, G, I)) ) ) ) )  =>  (B=C | r2_gtarski1(A, D, E, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_gtarski3, axiom,  (! [A] :  ( (v2_gtarski1(A) &  (v3_gtarski1(A) & l1_gtarski1(A)) )  =>  (v6_gtarski1(A) <=> v1_gtarski3(A)) ) ) ).
fof(d2_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (r1_gtarski3(A, B, C, D, E, F, G, H, I) <=>  (r1_gtarski1(A, B, C, D) &  (r1_gtarski1(A, F, G, H) &  (r2_gtarski1(A, B, C, F, G) &  (r2_gtarski1(A, C, D, G, H) &  (r2_gtarski1(A, B, E, F, I) & r2_gtarski1(A, C, E, G, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_gtarski3, axiom,  (! [A] :  ( (v2_gtarski1(A) &  (v3_gtarski1(A) &  (v6_gtarski1(A) & l1_gtarski1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (r1_gtarski3(A, B, C, D, E, F, G, H, I) =>  (B=C | r2_gtarski1(A, D, E, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_gtarski3, axiom,  (! [A] :  ( (v2_gtarski1(A) &  (v3_gtarski1(A) &  (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v6_gtarski1(A) & l1_gtarski1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r1_gtarski1(A, B, C, D) &  (r1_gtarski1(A, E, F, G) &  (r2_gtarski1(A, B, C, E, F) & r2_gtarski1(A, C, D, F, G)) ) )  => r2_gtarski1(A, B, D, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_gtarski3, axiom,  (! [A] :  ( (v2_gtarski1(A) &  (v3_gtarski1(A) &  (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v6_gtarski1(A) & l1_gtarski1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( ~ (B=C)  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r1_gtarski1(A, B, C, F) &  (r2_gtarski1(A, C, F, D, E) &  (r1_gtarski1(A, B, C, G) & r2_gtarski1(A, C, G, D, E)) ) )  => F=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_gtarski3, axiom,  (! [A] :  ( (v4_gtarski1(A) &  (v5_gtarski1(A) & l1_gtarski1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_gtarski1(A, B, C, C)) ) ) ) ) ) ).
fof(t14_gtarski3, axiom,  (! [A] :  ( (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v7_gtarski1(A) &  (v8_gtarski1(A) & l1_gtarski1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_gtarski1(A, B, C, D) => r1_gtarski1(A, D, C, B)) ) ) ) ) ) ) ) ) ).
fof(t15_gtarski3, axiom,  (! [A] :  ( (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v7_gtarski1(A) &  (v8_gtarski1(A) & l1_gtarski1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_gtarski1(A, B, B, C)) ) ) ) ) ) ).
fof(t16_gtarski3, axiom,  (! [A] :  ( (v7_gtarski1(A) &  (v8_gtarski1(A) & l1_gtarski1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_gtarski1(A, B, C, D) & r1_gtarski1(A, C, B, D))  => B=C) ) ) ) ) ) ) ) ) ).
fof(t17_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_gtarski1(A, B, C, E) & r1_gtarski1(A, C, D, E))  =>  (r1_gtarski1(A, B, C, D) & r1_gtarski1(A, B, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_gtarski1(A, B, C, D) & r1_gtarski1(A, B, D, E))  =>  (r1_gtarski1(A, C, D, E) & r1_gtarski1(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_gtarski1(A, B, C, D) & r1_gtarski1(A, C, D, E))  =>  (C=D |  (r1_gtarski1(A, B, D, E) & r1_gtarski1(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_gtarski3(A, B, C, D, E) <=>  (r1_gtarski1(A, B, C, D) &  (r1_gtarski1(A, B, C, E) &  (r1_gtarski1(A, B, D, E) & r1_gtarski1(A, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r3_gtarski3(A, B, C, D, E, F) <=>  (r1_gtarski1(A, B, C, D) &  (r1_gtarski1(A, B, C, E) &  (r1_gtarski1(A, B, C, F) &  (r1_gtarski1(A, B, D, E) &  (r1_gtarski1(A, B, D, F) &  (r1_gtarski1(A, B, E, F) &  (r1_gtarski1(A, C, D, E) &  (r1_gtarski1(A, C, D, F) &  (r1_gtarski1(A, C, E, F) & r1_gtarski1(A, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_gtarski3, axiom,  (! [A] :  ( (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v7_gtarski1(A) &  (v8_gtarski1(A) & l1_gtarski1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_gtarski1(A, B, C, D) => r1_gtarski1(A, D, C, B)) ) ) ) ) ) ) ) ) ).
fof(t21_gtarski3, axiom,  (! [A] :  ( (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v7_gtarski1(A) &  (v8_gtarski1(A) & l1_gtarski1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_gtarski3(A, B, C, D, E) => r2_gtarski3(A, E, D, C, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_gtarski3, axiom,  (! [A] :  ( (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v7_gtarski1(A) &  (v8_gtarski1(A) & l1_gtarski1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r3_gtarski3(A, B, C, D, E, F) => r3_gtarski3(A, F, E, D, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_gtarski3, axiom,  (! [A] :  ( (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v7_gtarski1(A) &  (v8_gtarski1(A) & l1_gtarski1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_gtarski3(A, B, C, D, E) =>  (r1_gtarski1(A, B, C, D) &  (r1_gtarski1(A, B, C, E) &  (r1_gtarski1(A, B, D, E) & r1_gtarski1(A, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_gtarski3, axiom,  (! [A] :  ( (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v7_gtarski1(A) &  (v8_gtarski1(A) & l1_gtarski1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r3_gtarski3(A, B, C, D, E, F) =>  (r1_gtarski1(A, B, C, D) &  (r1_gtarski1(A, B, C, E) &  (r1_gtarski1(A, B, C, F) &  (r1_gtarski1(A, B, D, E) &  (r1_gtarski1(A, B, D, F) &  (r1_gtarski1(A, B, E, F) &  (r1_gtarski1(A, C, D, E) &  (r1_gtarski1(A, C, D, F) &  (r1_gtarski1(A, C, E, F) &  (r1_gtarski1(A, D, E, F) &  (r2_gtarski3(A, B, C, D, E) &  (r2_gtarski3(A, B, C, D, F) &  (r2_gtarski3(A, B, D, E, F) & r2_gtarski3(A, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_gtarski1(A, B, C, D) & r1_gtarski1(A, B, E, C))  => r2_gtarski3(A, B, E, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_gtarski1(A, B, C, D) & r1_gtarski1(A, C, E, D))  => r2_gtarski3(A, B, C, E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_gtarski3(A, B, C, D, E) & r1_gtarski1(A, B, F, C))  => r3_gtarski3(A, B, F, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_gtarski3(A, B, C, D, E) & r1_gtarski1(A, C, F, D))  => r3_gtarski3(A, B, C, F, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_gtarski3(A, B, C, D, E) & r1_gtarski1(A, D, F, E))  => r3_gtarski3(A, B, C, D, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_gtarski1(A, B, C, D) & r1_gtarski1(A, B, D, E))  =>  (r2_gtarski3(A, B, C, D, E) &  ( ~ (B=D)  => r2_gtarski3(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_gtarski1(A, B, C, D) & r1_gtarski1(A, C, D, E))  =>  (r1_gtarski1(A, C, D, E) &  ( ~ (C=D)  => r2_gtarski3(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_gtarski3(A, B, C, D, E) & r1_gtarski1(A, B, E, F))  =>  (r3_gtarski3(A, B, C, D, E, F) &  ( ~ (B=E)  => r3_gtarski3(A, B, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_gtarski3(A, B, C, D, E) & r1_gtarski1(A, C, E, F))  =>  (r2_gtarski3(A, C, D, E, F) &  ( ~ (C=E)  => r3_gtarski3(A, B, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_gtarski3(A, B, C, D, E) & r1_gtarski1(A, D, E, F))  =>  (r1_gtarski1(A, D, E, F) &  ( ~ (D=E)  => r3_gtarski3(A, B, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_gtarski3, axiom,  (! [A] :  ( (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v1_gtarski2(A) & l1_gtarski1(A)) ) )  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  ( ~ (r1_gtarski1(A, B, C, D))  &  ( ~ (r1_gtarski1(A, C, D, B))  &  ( ~ (r1_gtarski1(A, D, B, C))  &  ( ~ (B=C)  &  ( ~ (C=D)  &  ~ (D=B) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_gtarski3, axiom,  (! [A] :  ( (v2_gtarski1(A) &  (v3_gtarski1(A) &  (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v1_gtarski2(A) & l1_gtarski1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (r1_gtarski1(A, B, C, D) &  ~ (C=D) ) ) ) ) ) ) ) ) ) ).
fof(t37_gtarski3, axiom,  (! [A] :  ( (v2_gtarski1(A) &  (v3_gtarski1(A) &  (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v7_gtarski1(A) &  (v1_gtarski2(A) & l1_gtarski1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r1_gtarski1(A, B, C, D) & r1_zfmisc_1(B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) &  (v1_gtarski2(A) & l1_gtarski1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_gtarski3(A, B, C, D, E) & r2_zfmisc_1(B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) &  (v1_gtarski2(A) & l1_gtarski1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r3_gtarski3(A, B, C, D, E, F) & r3_zfmisc_1(B, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ~ ( (r1_gtarski1(A, B, C, D) &  (r1_gtarski1(A, F, G, D) &  (r1_gtarski1(A, B, E, F) &  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  ~ ( (r1_gtarski1(A, E, I, D) & r1_gtarski1(A, C, I, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (r4_gtarski3(A, B, C, D, E, F, G, H, I) <=>  (r1_gtarski1(A, B, C, D) &  (r1_gtarski1(A, F, G, H) &  (r2_gtarski1(A, B, D, F, H) &  (r2_gtarski1(A, C, D, G, H) &  (r2_gtarski1(A, B, E, F, I) & r2_gtarski1(A, D, E, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (r4_gtarski3(A, B, C, D, E, F, G, H, I) => r2_gtarski1(A, C, E, G, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r1_gtarski1(A, B, C, D) &  (r1_gtarski1(A, E, F, G) &  (r2_gtarski1(A, B, D, E, G) & r2_gtarski1(A, C, D, F, G)) ) )  => r2_gtarski1(A, B, C, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r1_gtarski1(A, B, C, D) &  (r2_gtarski1(A, B, D, E, F) &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( (r1_gtarski1(A, E, G, F) & r3_gtarski1(A, B, C, D, E, G, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r1_gtarski1(A, B, C, D) & r3_gtarski1(A, B, C, D, E, F, G))  => r1_gtarski1(A, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_gtarski3, axiom,  (! [A] :  ( (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v7_gtarski1(A) &  (v8_gtarski1(A) & l1_gtarski1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r6_gtarski1(A, B, C, D) =>  (r6_gtarski1(A, C, D, B) &  (r6_gtarski1(A, D, B, C) &  (r6_gtarski1(A, D, C, B) &  (r6_gtarski1(A, C, B, D) & r6_gtarski1(A, B, D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_gtarski3, axiom,  (! [A] :  ( (v4_gtarski1(A) &  (v5_gtarski1(A) & l1_gtarski1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r6_gtarski1(A, B, B, C)) ) ) ) ) ) ).
fof(t47_gtarski3, axiom,  (! [A] :  ( (v2_gtarski1(A) &  (v3_gtarski1(A) & l1_gtarski1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r3_gtarski1(A, B, C, D, E, F, G) => r3_gtarski1(A, C, D, B, F, G, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r6_gtarski1(A, B, C, D) & r3_gtarski1(A, B, C, D, E, F, G))  => r6_gtarski1(A, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_gtarski3, axiom,  (! [A] :  ( (v2_gtarski1(A) &  (v3_gtarski1(A) & l1_gtarski1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r3_gtarski1(A, C, B, D, F, E, G) => r3_gtarski1(A, B, C, D, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_gtarski3, axiom,  (! [A] :  ( (v2_gtarski1(A) &  (v3_gtarski1(A) & l1_gtarski1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r3_gtarski1(A, B, D, C, E, G, F) => r3_gtarski1(A, B, C, D, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r6_gtarski1(A, B, C, D) &  (r2_gtarski1(A, B, C, E, F) &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ (r3_gtarski1(A, B, C, D, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (r5_gtarski3(A, B, C, D, E, F, G, H, I) <=>  (r6_gtarski1(A, B, C, D) &  (r3_gtarski1(A, B, C, D, F, G, H) &  (r2_gtarski1(A, B, E, F, I) & r2_gtarski1(A, C, E, G, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (r5_gtarski3(A, B, C, D, E, F, G, H, I) =>  (B=C | r2_gtarski1(A, D, E, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r6_gtarski1(A, B, C, D) &  (r2_gtarski1(A, B, E, B, F) & r2_gtarski1(A, C, E, C, F)) )  =>  (B=C | r2_gtarski1(A, D, E, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r6_gtarski1(A, B, C, D) &  (r2_gtarski1(A, B, D, B, E) & r2_gtarski1(A, C, D, C, E)) )  =>  (B=C | D=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_gtarski1(A, B, D, C) &  (r2_gtarski1(A, B, D, B, E) & r2_gtarski1(A, C, D, C, E)) )  => D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  (r1_gtarski1(A, B, C, D) &  (r1_gtarski1(A, B, C, E) &  ( ~ (r1_gtarski1(A, B, D, E))  &  ~ (r1_gtarski1(A, B, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  (r1_gtarski1(A, B, C, D) &  (r1_gtarski1(A, B, C, E) &  ( ~ (r1_gtarski1(A, C, D, E))  &  ~ (r1_gtarski1(A, C, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r1_gtarski1(A, B, C, E) &  (r1_gtarski1(A, B, D, E) &  ( ~ (r1_gtarski1(A, B, C, D))  &  ~ (r1_gtarski1(A, B, D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r6_gtarski3(A, B, C, D, E) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (r1_gtarski1(A, D, F, E) & r2_gtarski1(A, B, C, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r6_gtarski3(A, B, C, D, E) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (r1_gtarski1(A, B, C, F) & r2_gtarski1(A, B, F, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  ( (r6_gtarski3(A, B, C, D, E) &  (r2_gtarski1(A, B, C, F, G) & r2_gtarski1(A, D, E, H, I)) )  => r6_gtarski3(A, F, G, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r6_gtarski3(A, B, C, B, C)) ) ) ) ) ) ).
fof(t62_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r6_gtarski3(A, B, C, D, E) & r6_gtarski3(A, D, E, F, G))  => r6_gtarski3(A, B, C, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r6_gtarski3(A, B, C, D, E) & r6_gtarski3(A, D, E, B, C))  => r2_gtarski1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r6_gtarski3(A, B, C, D, E) | r6_gtarski3(A, D, E, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r6_gtarski3(A, B, B, C, D)) ) ) ) ) ) ) ) ).
fof(t66_gtarski3, axiom,  (! [A] :  ( (v2_gtarski1(A) &  (v3_gtarski1(A) &  (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v7_gtarski1(A) &  (v8_gtarski1(A) & l1_gtarski1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r6_gtarski3(A, B, C, D, E) => r6_gtarski3(A, C, B, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r6_gtarski3(A, B, C, D, E) => r6_gtarski3(A, B, C, E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_gtarski1(A, B, C, D) & r2_gtarski1(A, B, D, B, C))  => D=C) ) ) ) ) ) ) ) ) ).
fof(t69_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_gtarski1(A, B, D, C) & r6_gtarski3(A, B, C, B, D))  => C=D) ) ) ) ) ) ) ) ) ).
fof(t70_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r6_gtarski1(A, B, C, D) =>  (r1_gtarski1(A, B, C, D) <=>  (r6_gtarski3(A, B, C, B, D) & r6_gtarski3(A, C, D, B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r7_gtarski3(A, B, C, D) <=>  ( ~ (D=B)  &  ( ~ (D=C)  &  (r1_gtarski1(A, D, B, C) | r1_gtarski1(A, D, C, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_gtarski1(A, B, E, D) =>  (B=E |  (C=E |  (D=E |  (r1_gtarski1(A, C, E, D) <=> r7_gtarski3(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t72_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r7_gtarski3(A, B, C, D) <=>  ( ~ (B=D)  &  ( ~ (C=D)  &  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  ( ~ (E=D)  &  (r1_gtarski1(A, B, D, E) & r1_gtarski1(A, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t73_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r7_gtarski3(A, B, C, D) <=>  (r6_gtarski1(A, B, D, C) &  ~ (r1_gtarski1(A, B, D, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t74_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (B=C)  => r7_gtarski3(A, B, B, C)) ) ) ) ) ) ) ).
fof(t75_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r7_gtarski3(A, B, C, D) => r7_gtarski3(A, C, B, D)) ) ) ) ) ) ) ) ) ).
fof(t76_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r7_gtarski3(A, B, C, E) & r7_gtarski3(A, C, D, E))  => r7_gtarski3(A, B, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t77_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  ( (r1_gtarski1(A, E, B, F) | r1_gtarski1(A, E, F, B))  & r2_gtarski1(A, E, F, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t78_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (E=B)  &  ( ~ (C=D)  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r7_gtarski3(A, F, E, B) & r2_gtarski1(A, B, F, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t79_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r7_gtarski3(A, F, E, B) &  (r2_gtarski1(A, B, F, C, D) &  (r7_gtarski3(A, G, E, B) & r2_gtarski1(A, B, G, C, D)) ) )  =>  (E=B |  (C=D | F=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t80_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r7_gtarski3(A, B, C, D) =>  (r6_gtarski3(A, D, B, D, C) <=> r1_gtarski1(A, D, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t81_gtarski3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_gtarski1(A) & l1_gtarski1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_gtarski1(A, C, B, D) =>  (B=C |  (B=D | k2_gtarski3(A, B, C)=k2_xboole_0(k2_xboole_0(k1_gtarski3(A, C, B), k1_tarski(B)), k1_gtarski3(A, D, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_gtarski3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (r8_gtarski3(A, B) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  ( ~ (C=D)  & B=k2_gtarski3(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t82_gtarski3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_gtarski1(A) & l1_gtarski1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, k2_gtarski3(A, B, C)) =>  (B=C |  (D=B | k2_gtarski3(A, B, C)=k2_gtarski3(A, B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t83_gtarski3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v7_gtarski1(A) &  (v8_gtarski1(A) & l1_gtarski1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(B, k2_gtarski3(A, B, C)) &  (r2_tarski(C, k2_gtarski3(A, B, C)) & k2_gtarski3(A, B, C)=k2_gtarski3(A, C, B)) ) ) ) ) ) ) ) ).
fof(t84_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ( ~ (B=C)  & r6_gtarski1(A, B, C, D))  <=> r7_gtarski1(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t85_gtarski3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_gtarski1(A) & l1_gtarski1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r8_gtarski1(A, B, C, D, E) => k2_gtarski3(A, B, C)=k2_gtarski3(A, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t86_gtarski3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_gtarski1(A) & l1_gtarski1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (k2_gtarski3(A, B, C)=k2_gtarski3(A, D, E) =>  (B=C |  (D=E | r8_gtarski1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t87_gtarski3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_gtarski1(A) & l1_gtarski1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r8_gtarski3(A, B) &  (r2_tarski(C, B) & r2_tarski(D, B)) )  =>  (C=D | B=k2_gtarski3(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t88_gtarski3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_gtarski1(A) & l1_gtarski1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r8_gtarski3(A, B) &  (r2_tarski(D, B) &  (r2_tarski(E, B) &  (r8_gtarski3(A, C) &  (r2_tarski(D, C) & r2_tarski(E, C)) ) ) ) )  =>  (D=E | B=C) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t89_gtarski3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_gtarski1(A) & l1_gtarski1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r8_gtarski3(A, B) &  (r8_gtarski3(A, C) &  (r2_tarski(D, B) &  (r2_tarski(D, C) &  (r2_tarski(E, B) & r2_tarski(E, C)) ) ) ) )  =>  (B=C | D=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t90_gtarski3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_gtarski1(A) & l1_gtarski1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ~ ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => E=F) ) ) ) )  =>  (r6_gtarski1(A, B, C, D) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) &  (r8_gtarski3(A, E) &  (r2_tarski(B, E) &  (r2_tarski(C, E) & r2_tarski(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t91_gtarski3, axiom,  (! [A] :  ( (v1_gtarski2(A) & l1_gtarski1(A))  =>  ~ ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r6_gtarski1(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t92_gtarski3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_gtarski1(A) & l1_gtarski1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (v1_gtarski2(A) &  ( ~ (B=C)  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r6_gtarski1(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t93_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r7_gtarski3(A, C, D, B) & r6_gtarski3(A, B, C, B, D))  => r1_gtarski1(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t94_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  ( (r2_gtarski1(A, B, C, F, G) & r2_gtarski1(A, D, E, H, I))  =>  (r6_gtarski3(A, D, E, B, C) | r6_gtarski3(A, F, G, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t95_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r7_gtarski3(A, B, D, C) &  (r7_gtarski3(A, E, G, F) &  (r2_gtarski1(A, C, B, F, E) & r2_gtarski1(A, C, D, F, G)) ) )  => r2_gtarski1(A, B, D, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r9_gtarski3(A, B, C, D) <=>  (r1_gtarski1(A, B, D, C) & r2_gtarski1(A, D, B, D, C)) ) ) ) ) ) ) ) ) ) ).
fof(t96_gtarski3, axiom,  (! [A] :  ( (v2_gtarski1(A) &  (v3_gtarski1(A) &  (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v7_gtarski1(A) &  (v8_gtarski1(A) & l1_gtarski1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r9_gtarski3(A, B, C, D) => r9_gtarski3(A, C, B, D)) ) ) ) ) ) ) ) ) ).
fof(t97_gtarski3, axiom,  (! [A] :  ( (v2_gtarski1(A) &  (v3_gtarski1(A) &  (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v7_gtarski1(A) & l1_gtarski1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r9_gtarski3(A, B, B, C) <=> C=B) ) ) ) ) ) ) ).
fof(t98_gtarski3, axiom,  (! [A] :  ( (v2_gtarski1(A) &  (v3_gtarski1(A) &  (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v7_gtarski1(A) & l1_gtarski1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & r9_gtarski3(A, C, D, B)) ) ) ) ) ) ) ) ).
fof(t99_gtarski3, axiom,  (! [A] :  ( (v2_gtarski1(A) &  (v3_gtarski1(A) &  (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v6_gtarski1(A) & l1_gtarski1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r9_gtarski3(A, C, D, B) & r9_gtarski3(A, C, E, B))  => D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_gtarski3, axiom,  (! [A] :  ( (v2_gtarski1(A) &  (v3_gtarski1(A) &  (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v6_gtarski1(A) &  (v7_gtarski1(A) & l1_gtarski1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (D=k3_gtarski3(A, B, C) <=> r9_gtarski3(A, C, D, B)) ) ) ) ) ) ) ) ) ).
fof(t100_gtarski3, axiom,  (! [A] :  ( (v2_gtarski1(A) &  (v3_gtarski1(A) &  (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v6_gtarski1(A) &  (v7_gtarski1(A) & l1_gtarski1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k3_gtarski3(A, B, C)=D <=> r9_gtarski3(A, C, D, B)) ) ) ) ) ) ) ) ) ).
fof(t101_gtarski3, axiom,  (! [A] :  ( (v2_gtarski1(A) &  (v3_gtarski1(A) &  (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v6_gtarski1(A) &  (v7_gtarski1(A) &  (v8_gtarski1(A) & l1_gtarski1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_gtarski3(A, B, k3_gtarski3(A, B, C))=C) ) ) ) ) ) ).
fof(t102_gtarski3, axiom,  (! [A] :  ( (v2_gtarski1(A) &  (v3_gtarski1(A) &  (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v6_gtarski1(A) &  (v7_gtarski1(A) &  (v8_gtarski1(A) & l1_gtarski1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & k3_gtarski3(A, B, D)=C) ) ) ) ) ) ) ) ).
fof(t103_gtarski3, axiom,  (! [A] :  ( (v2_gtarski1(A) &  (v3_gtarski1(A) &  (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v6_gtarski1(A) &  (v7_gtarski1(A) &  (v8_gtarski1(A) & l1_gtarski1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k3_gtarski3(A, B, C)=k3_gtarski3(A, B, D) => C=D) ) ) ) ) ) ) ) ) ).
fof(t104_gtarski3, axiom,  (! [A] :  ( (v2_gtarski1(A) &  (v3_gtarski1(A) &  (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v6_gtarski1(A) &  (v7_gtarski1(A) & l1_gtarski1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k3_gtarski3(A, B, C)=C <=> C=B) ) ) ) ) ) ) ).
fof(t105_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r2_gtarski1(A, C, D, k3_gtarski3(A, B, C), k3_gtarski3(A, B, D))) ) ) ) ) ) ) ) ).
fof(t106_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_gtarski1(A, C, D, E) <=> r1_gtarski1(A, k3_gtarski3(A, B, C), k3_gtarski3(A, B, D), k3_gtarski3(A, B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t107_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r2_gtarski1(A, C, D, E, F) <=> r2_gtarski1(A, k3_gtarski3(A, B, C), k3_gtarski3(A, B, D), k3_gtarski3(A, B, E), k3_gtarski3(A, B, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t108_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r9_gtarski3(A, D, E, B) & r9_gtarski3(A, D, E, C))  => B=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t109_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k3_gtarski3(A, B, D)=k3_gtarski3(A, C, D) => B=C) ) ) ) ) ) ) ) ) ).
fof(t110_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k3_gtarski3(A, C, k3_gtarski3(A, B, D))=k3_gtarski3(A, B, k3_gtarski3(A, C, D)) <=> B=C) ) ) ) ) ) ) ) ) ).
fof(t111_gtarski3, axiom,  (! [A] :  ( (v9_gtarski1(A) & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r6_gtarski1(A, B, D, C) &  (r2_gtarski1(A, D, B, D, C) &  ( ~ (B=C)  &  ~ (r9_gtarski3(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t112_gtarski3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_gtarski1(A) & l1_gtarski1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_gtarski1(A, B, C, D, E) &  (r2_gtarski1(A, C, D, E, B) &  (r6_gtarski1(A, B, F, D) & r6_gtarski1(A, C, F, E)) ) )  =>  (r6_gtarski1(A, B, C, D) |  (C=E |  (r9_gtarski3(A, B, D, F) & r9_gtarski3(A, C, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t113_gtarski3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_gtarski1(A) & l1_gtarski1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ( (r1_gtarski1(A, C, B, D) &  (r1_gtarski1(A, E, B, F) &  (r2_gtarski1(A, B, C, B, E) &  (r2_gtarski1(A, B, D, B, F) &  (r9_gtarski3(A, C, E, G) &  (r9_gtarski3(A, D, F, H) & r6_gtarski3(A, B, C, B, D)) ) ) ) ) )  => r1_gtarski1(A, G, B, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t114_gtarski3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_gtarski1(A) & l1_gtarski1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ( (r1_gtarski1(A, C, B, D) &  (r1_gtarski1(A, E, B, F) &  (r2_gtarski1(A, B, C, B, E) &  (r2_gtarski1(A, B, D, B, F) &  (r9_gtarski3(A, C, E, G) &  (r9_gtarski3(A, D, F, H) & r6_gtarski3(A, B, D, B, C)) ) ) ) ) )  => r1_gtarski1(A, G, B, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t115_gtarski3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_gtarski1(A) & l1_gtarski1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ( (r1_gtarski1(A, C, B, D) &  (r1_gtarski1(A, E, B, F) &  (r2_gtarski1(A, B, C, B, E) &  (r2_gtarski1(A, B, D, B, F) &  (r9_gtarski3(A, C, E, G) & r9_gtarski3(A, D, F, H)) ) ) ) )  => r1_gtarski1(A, G, B, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (r10_gtarski3(A, B, C, D, E, F, G, H) <=>  (r1_gtarski1(A, B, F, C) &  (r1_gtarski1(A, D, F, E) &  (r2_gtarski1(A, F, B, F, D) &  (r2_gtarski1(A, F, C, F, E) &  (r9_gtarski3(A, B, D, G) & r9_gtarski3(A, C, E, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t116_gtarski3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_gtarski1(A) & l1_gtarski1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (r10_gtarski3(A, C, D, E, F, B, G, H) => r1_gtarski1(A, G, B, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t117_gtarski3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_gtarski1(A) &  (v1_gtarski2(A) & l1_gtarski1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_gtarski1(A, D, B, D, C) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ (r9_gtarski3(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v2_gtarski3(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_gtarski1(A, B, C, C, B)) ) ) ) ) ) ) ).
fof(d16_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v3_gtarski3(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_gtarski1(A, B, C, D, E) & r2_gtarski1(A, B, C, F, G))  => r2_gtarski1(A, D, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v4_gtarski3(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_gtarski1(A, B, C, D, D) => B=C) ) ) ) ) ) ) ) ) ) ).
fof(d18_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v5_gtarski3(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (r1_gtarski1(A, E, B, F) & r2_gtarski1(A, B, F, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v6_gtarski3(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  ( (r1_gtarski1(A, B, C, D) &  (r1_gtarski1(A, F, G, H) &  (r2_gtarski1(A, B, C, F, G) &  (r2_gtarski1(A, C, D, G, H) &  (r2_gtarski1(A, B, E, F, I) & r2_gtarski1(A, C, E, G, I)) ) ) ) )  =>  (B=C | r2_gtarski1(A, D, E, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d20_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v7_gtarski3(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_gtarski1(A, B, C, B) => B=C) ) ) ) ) ) ) ) ).
fof(d21_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v8_gtarski3(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r1_gtarski1(A, B, E, D) &  (r1_gtarski1(A, C, F, D) &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( (r1_gtarski1(A, E, G, C) & r1_gtarski1(A, F, G, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d22_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v9_gtarski3(A) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  ( ~ (r1_gtarski1(A, B, C, D))  &  ( ~ (r1_gtarski1(A, C, D, B))  &  ~ (r1_gtarski1(A, D, B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d23_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v10_gtarski3(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( ( ~ (E=F)  &  (r2_gtarski1(A, B, E, B, F) &  (r2_gtarski1(A, C, E, C, F) &  (r2_gtarski1(A, D, E, D, F) &  ( ~ (r1_gtarski1(A, B, C, D))  &  ( ~ (r1_gtarski1(A, C, D, B))  &  ~ (r1_gtarski1(A, D, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d24_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v11_gtarski3(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r1_gtarski1(A, B, E, F) &  (r1_gtarski1(A, C, E, D) &  ( ~ (B=E)  &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ~ ( (r1_gtarski1(A, B, C, G) &  (r1_gtarski1(A, B, D, H) & r1_gtarski1(A, G, F, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d25_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v12_gtarski3(A) <=>  (! [B] :  (! [C] :  ~ ( ( (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_tarski(E, B) & r2_tarski(F, C))  => r1_gtarski1(A, D, E, F)) ) ) ) ) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (r2_tarski(E, B) &  (r2_tarski(F, C) &  ~ (r1_gtarski1(A, E, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d26_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v13_gtarski3(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  ( (r1_gtarski1(A, B, C, D) &  (r1_gtarski1(A, F, G, H) &  (r2_gtarski1(A, B, C, F, G) &  (r2_gtarski1(A, C, D, G, H) &  (r2_gtarski1(A, B, E, F, I) & r2_gtarski1(A, C, E, G, I)) ) ) ) )  =>  (B=C | r2_gtarski1(A, E, D, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t118_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v2_gtarski1(A) <=> v2_gtarski3(A)) ) ) ).
fof(t119_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v3_gtarski1(A) <=> v3_gtarski3(A)) ) ) ).
fof(t120_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v4_gtarski1(A) <=> v4_gtarski3(A)) ) ) ).
fof(t121_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v5_gtarski1(A) <=> v5_gtarski3(A)) ) ) ).
fof(t122_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v7_gtarski1(A) <=> v7_gtarski3(A)) ) ) ).
fof(t123_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v8_gtarski1(A) <=> v8_gtarski3(A)) ) ) ).
fof(t124_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v1_gtarski2(A) <=> v9_gtarski3(A)) ) ) ).
fof(t125_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v2_gtarski2(A) <=> v10_gtarski3(A)) ) ) ).
fof(t126_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v3_gtarski2(A) <=> v11_gtarski3(A)) ) ) ).
fof(t127_gtarski3, axiom,  (! [A] :  ( (v2_gtarski1(A) &  (v3_gtarski1(A) & l1_gtarski1(A)) )  =>  (v6_gtarski1(A) <=> v6_gtarski3(A)) ) ) ).
fof(t128_gtarski3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_gtarski1(A))  =>  (v4_gtarski2(A) <=> v12_gtarski3(A)) ) ) ).
fof(t129_gtarski3, axiom,  (! [A] :  ( (v2_gtarski3(A) &  (v3_gtarski3(A) & l1_gtarski1(A)) )  =>  (v6_gtarski1(A) <=> v6_gtarski3(A)) ) ) ).
fof(t130_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  ( (v2_gtarski3(A) & v3_gtarski3(A))  =>  (v6_gtarski3(A) <=> v13_gtarski3(A)) ) ) ) ).
fof(t131_gtarski3, axiom,  (! [A] :  ( (v2_gtarski3(A) &  (v3_gtarski3(A) & l1_gtarski1(A)) )  =>  (v6_gtarski3(A) <=> v13_gtarski3(A)) ) ) ).
fof(t132_gtarski3, axiom,  (! [A] :  ( (v3_gtarski3(A) &  (v5_gtarski3(A) & l1_gtarski1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_gtarski1(A, B, C, B, C)) ) ) ) ) ) ).
fof(t133_gtarski3, axiom,  (! [A] :  ( (v4_gtarski3(A) &  (v5_gtarski3(A) & l1_gtarski1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_gtarski1(A, B, C, C)) ) ) ) ) ) ).
fof(t134_gtarski3, axiom,  (! [A] :  ( (v3_gtarski3(A) &  (v5_gtarski3(A) & l1_gtarski1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_gtarski1(A, B, C, D, E) => r2_gtarski1(A, D, E, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t135_gtarski3, axiom,  (! [A] :  ( (v3_gtarski3(A) &  (v5_gtarski3(A) &  (v13_gtarski3(A) & l1_gtarski1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r1_gtarski1(A, C, B, D) &  (r1_gtarski1(A, E, B, F) &  (r2_gtarski1(A, C, B, E, B) &  (r2_gtarski1(A, B, D, B, F) & r2_gtarski1(A, C, G, E, G)) ) ) )  =>  (B=C | r2_gtarski1(A, G, D, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d27_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v14_gtarski3(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_gtarski1(A, C, B, D) =>  (B=C | r2_gtarski1(A, E, D, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t136_gtarski3, axiom,  (! [A] :  ( (v3_gtarski3(A) &  (v5_gtarski3(A) &  (v13_gtarski3(A) & l1_gtarski1(A)) ) )  => v14_gtarski3(A)) ) ).
fof(t137_gtarski3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_struct_0(A) &  (v4_gtarski3(A) &  (v5_gtarski3(A) & l1_gtarski1(A)) ) ) )  => v2_gtarski3(A)) ) ).
fof(t138_gtarski3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_gtarski3(A) &  (v4_gtarski3(A) &  (v5_gtarski3(A) &  (v14_gtarski3(A) & l1_gtarski1(A)) ) ) ) )  => v2_gtarski3(A)) ) ).
fof(t139_gtarski3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_gtarski3(A) &  (v4_gtarski3(A) &  (v5_gtarski3(A) &  (v13_gtarski3(A) & l1_gtarski1(A)) ) ) ) )  => v2_gtarski3(A)) ) ).
fof(t140_gtarski3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_gtarski3(A) &  (v4_gtarski3(A) &  (v5_gtarski3(A) &  (v13_gtarski3(A) & l1_gtarski1(A)) ) ) ) )  => v6_gtarski3(A)) ) ).
fof(t141_gtarski3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_gtarski3(A) &  (v3_gtarski3(A) &  (v4_gtarski3(A) &  (v5_gtarski3(A) &  (v6_gtarski3(A) &  (v7_gtarski3(A) &  (v8_gtarski3(A) &  (v9_gtarski3(A) &  (v10_gtarski3(A) &  (v11_gtarski3(A) &  (v12_gtarski3(A) & l1_gtarski1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_gtarski3(A) &  (v4_gtarski3(A) &  (v5_gtarski3(A) &  (v7_gtarski3(A) &  (v8_gtarski3(A) &  (v9_gtarski3(A) &  (v10_gtarski3(A) &  (v11_gtarski3(A) &  (v12_gtarski3(A) &  (v13_gtarski3(A) & l1_gtarski1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t142_gtarski3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_gtarski3(A) &  (v4_gtarski3(A) &  (v5_gtarski3(A) &  (v7_gtarski3(A) &  (v8_gtarski3(A) &  (v9_gtarski3(A) &  (v10_gtarski3(A) &  (v11_gtarski3(A) &  (v12_gtarski3(A) &  (v13_gtarski3(A) & l1_gtarski1(A)) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v2_gtarski3(A) &  (v3_gtarski3(A) &  (v4_gtarski3(A) &  (v5_gtarski3(A) &  (v6_gtarski3(A) &  (v7_gtarski3(A) &  (v8_gtarski3(A) &  (v9_gtarski3(A) &  (v10_gtarski3(A) &  (v11_gtarski3(A) &  (v12_gtarski3(A) & l1_gtarski1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t143_gtarski3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_gtarski3(A) &  (v3_gtarski3(A) &  (v4_gtarski3(A) &  (v5_gtarski3(A) &  (v6_gtarski3(A) &  (v7_gtarski3(A) &  (v8_gtarski3(A) &  (v9_gtarski3(A) &  (v10_gtarski3(A) &  (v11_gtarski3(A) &  (v12_gtarski3(A) & l1_gtarski1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (v9_gtarski1(A) &  (v1_gtarski2(A) &  (v2_gtarski2(A) &  (v3_gtarski2(A) & v4_gtarski2(A)) ) ) ) ) ) ).
fof(t144_gtarski3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_gtarski3(A) &  (v4_gtarski3(A) &  (v5_gtarski3(A) &  (v7_gtarski3(A) &  (v8_gtarski3(A) &  (v9_gtarski3(A) &  (v10_gtarski3(A) &  (v11_gtarski3(A) &  (v12_gtarski3(A) &  (v13_gtarski3(A) & l1_gtarski1(A)) ) ) ) ) ) ) ) ) ) )  =>  (v9_gtarski1(A) &  (v1_gtarski2(A) &  (v2_gtarski2(A) &  (v3_gtarski2(A) & v4_gtarski2(A)) ) ) ) ) ) ).
fof(dt_k2_gtarski3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_gtarski1(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k2_gtarski3(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k3_gtarski3, axiom,  (! [A, B, C] :  ( ( (v2_gtarski1(A) &  (v3_gtarski1(A) &  (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v6_gtarski1(A) &  (v7_gtarski1(A) & l1_gtarski1(A)) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k3_gtarski3(A, B, C), u1_struct_0(A))) ) ).
fof(d9_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_gtarski3(A, B, C)=a_3_0_gtarski3(A, B, C)) ) ) ) ) ) ).
fof(d10_gtarski3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_gtarski3(A, B, C)=a_3_1_gtarski3(A, B, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_gtarski3, axiom,  (! [A, B, C, D] :  ( (l1_gtarski1(B) &  (m1_subset_1(C, u1_struct_0(B)) & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_0_gtarski3(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E & r7_gtarski3(B, E, C, D)) ) ) ) ) ) ).
fof(fraenkel_a_3_1_gtarski3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  & l1_gtarski1(B))  &  (m1_subset_1(C, u1_struct_0(B)) & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_1_gtarski3(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E & r6_gtarski1(B, C, D, E)) ) ) ) ) ) ).
fof(cc1_hahnban, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & v2_hahnban(B, A)) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & v1_hahnban(B, A)) ) ) ) ) ) ) ).
fof(cc2_hahnban, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & v3_hahnban(B, A)) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & v4_hahnban(B, A)) ) ) ) ) ) ) ).
fof(cc3_hahnban, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & v5_hahnban(B, A)) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & v4_hahnban(B, A)) ) ) ) ) ) ) ).
fof(cc4_hahnban, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & v5_hahnban(B, A)) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & v7_hahnban(B, A)) ) ) ) ) ) ) ).
fof(cc5_hahnban, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & v6_hahnban(B, A)) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & v5_hahnban(B, A)) ) ) ) ) ) ) ).
fof(cc6_hahnban, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v4_hahnban(B, A) & v7_hahnban(B, A)) ) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & v5_hahnban(B, A)) ) ) ) ) ) ) ).
fof(rc1_hahnban, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))) &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v5_relat_1(B, k1_numbers) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, u1_struct_0(A)) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_hahnban(B, A) &  (v3_hahnban(B, A) & v6_hahnban(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_hahnban, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) => r1_tarski(u1_struct_0(B), u1_struct_0(k1_rlsub_2(A, B, C)))) ) ) ) ) ) ).
fof(t2_hahnban, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (r1_rlsub_2(A, B, C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r1_struct_0(B, E) &  (r1_struct_0(C, F) & D=k3_rlvect_1(A, E, F)) )  => k4_rlsub_2(A, D, B, C)=k1_domain_1(u1_struct_0(A), u1_struct_0(A), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_hahnban, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (r1_rlsub_2(A, B, C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (k4_rlsub_2(A, D, B, C)=k1_domain_1(u1_struct_0(A), u1_struct_0(A), E, F) => D=k3_rlvect_1(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_hahnban, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (r1_rlsub_2(A, B, C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (k4_rlsub_2(A, D, B, C)=k1_domain_1(u1_struct_0(A), u1_struct_0(A), E, F) =>  (r1_struct_0(B, E) & r1_struct_0(C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_hahnban, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (r1_rlsub_2(A, B, C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (k4_rlsub_2(A, D, B, C)=k1_domain_1(u1_struct_0(A), u1_struct_0(A), E, F) => k4_rlsub_2(A, D, C, B)=k1_domain_1(u1_struct_0(A), u1_struct_0(A), F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_hahnban, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (r1_rlsub_2(A, B, C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_struct_0(B, D) => k4_rlsub_2(A, D, B, C)=k1_domain_1(u1_struct_0(A), u1_struct_0(A), D, k4_struct_0(A))) ) ) ) ) ) ) ) ) ) ).
fof(t7_hahnban, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (r1_rlsub_2(A, B, C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_struct_0(C, D) => k4_rlsub_2(A, D, B, C)=k1_domain_1(u1_struct_0(A), u1_struct_0(A), k4_struct_0(A), D)) ) ) ) ) ) ) ) ) ) ).
fof(t8_hahnban, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_struct_0(C, D) => m1_subset_1(D, u1_struct_0(B))) ) ) ) ) ) ) ) ) ).
fof(t9_hahnban, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (! [D] :  (m1_rlsub_1(D, A) =>  (! [E] :  (m1_rlsub_1(E, D) =>  (! [F] :  (m1_rlsub_1(F, D) =>  ( (E=B & F=C)  => k1_rlsub_2(D, E, F)=k1_rlsub_2(A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_hahnban, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (C=D => k1_rlvect_3(B, k6_domain_1(u1_struct_0(B), D))=k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), C))) ) ) ) ) ) ) ) ) ).
fof(t11_hahnban, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_rlsub_1(C, A) =>  ( ~ (r1_struct_0(C, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B))))) =>  (! [E] :  (m1_rlsub_1(E, k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B)))) =>  ( (B=D & E=C)  => r1_rlsub_2(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B))), E, k1_rlvect_3(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B))), k6_domain_1(u1_struct_0(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B)))), D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_hahnban, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B))))) =>  (! [E] :  (m1_rlsub_1(E, k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B)))) =>  ( (B=D & C=E)  =>  (r1_struct_0(C, B) | k4_rlsub_2(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B))), D, E, k1_rlvect_3(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B))), k6_domain_1(u1_struct_0(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B)))), D)))=k1_domain_1(u1_struct_0(E), u1_struct_0(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B)))), k4_struct_0(E), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_hahnban, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B))))) =>  (! [E] :  (m1_rlsub_1(E, k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B)))) =>  ( (B=D & C=E)  =>  (r1_struct_0(C, B) |  (! [F] :  (m1_subset_1(F, u1_struct_0(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B))))) =>  (r1_struct_0(C, F) => k4_rlsub_2(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B))), F, E, k1_rlvect_3(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B))), k6_domain_1(u1_struct_0(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B)))), D)))=k1_domain_1(u1_struct_0(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B)))), u1_struct_0(A), F, k4_struct_0(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_hahnban, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (! [D] :  (m1_rlsub_1(D, A) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) & k4_rlsub_2(A, B, C, D)=k1_domain_1(u1_struct_0(A), u1_struct_0(A), E, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_hahnban, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B))))) =>  (! [E] :  (m1_rlsub_1(E, k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B)))) =>  ( (B=D & C=E)  =>  (r1_struct_0(C, B) |  (! [F] :  (m1_subset_1(F, u1_struct_0(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B))))) =>  (? [G] :  (m1_subset_1(G, u1_struct_0(C)) &  (? [H] :  (v1_xreal_0(H) & k4_rlsub_2(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B))), F, E, k1_rlvect_3(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B))), k6_domain_1(u1_struct_0(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B)))), D)))=k1_domain_1(u1_struct_0(C), u1_struct_0(A), G, k1_rlvect_1(A, B, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_hahnban, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B))))) =>  (! [E] :  (m1_rlsub_1(E, k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B)))) =>  ( (B=D & C=E)  =>  (r1_struct_0(C, B) |  (! [F] :  (m1_subset_1(F, u1_struct_0(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B))))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B))))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(C)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(C)) =>  (! [J] :  (v1_xreal_0(J) =>  (! [K] :  (v1_xreal_0(K) =>  ( (k4_rlsub_2(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B))), F, E, k1_rlvect_3(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B))), k6_domain_1(u1_struct_0(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B)))), D)))=k1_domain_1(u1_struct_0(C), u1_struct_0(A), H, k1_rlvect_1(A, B, J)) & k4_rlsub_2(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B))), G, E, k1_rlvect_3(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B))), k6_domain_1(u1_struct_0(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B)))), D)))=k1_domain_1(u1_struct_0(C), u1_struct_0(A), I, k1_rlvect_1(A, B, K)))  => k4_rlsub_2(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B))), k3_rlvect_1(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B))), F, G), E, k1_rlvect_3(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B))), k6_domain_1(u1_struct_0(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B)))), D)))=k1_domain_1(u1_struct_0(C), u1_struct_0(A), k3_rlvect_1(C, H, I), k1_rlvect_1(A, B, k2_xcmplx_0(J, K)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_hahnban, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B))))) =>  (! [E] :  (m1_rlsub_1(E, k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B)))) =>  ( (B=D & C=E)  =>  (r1_struct_0(C, B) |  (! [F] :  (m1_subset_1(F, u1_struct_0(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B))))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(C)) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  (k4_rlsub_2(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B))), F, E, k1_rlvect_3(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B))), k6_domain_1(u1_struct_0(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B)))), D)))=k1_domain_1(u1_struct_0(C), u1_struct_0(A), G, k1_rlvect_1(A, B, I)) => k4_rlsub_2(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B))), k1_rlvect_1(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B))), F, H), E, k1_rlvect_3(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B))), k6_domain_1(u1_struct_0(k1_rlsub_2(A, C, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B)))), D)))=k1_domain_1(u1_struct_0(C), u1_struct_0(A), k1_rlvect_1(C, G, H), k1_rlvect_1(A, B, k3_xcmplx_0(H, I)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_hahnban, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (v1_hahnban(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_xxreal_0(k3_funct_2(u1_struct_0(A), k1_numbers, B, k3_rlvect_1(A, C, D)), k3_real_1(k3_funct_2(u1_struct_0(A), k1_numbers, B, C), k3_funct_2(u1_struct_0(A), k1_numbers, B, D)))) ) ) ) ) ) ) ) ) ).
fof(d2_hahnban, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (v2_hahnban(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k1_numbers, B, k3_rlvect_1(A, C, D))=k3_real_1(k3_funct_2(u1_struct_0(A), k1_numbers, B, C), k3_funct_2(u1_struct_0(A), k1_numbers, B, D))) ) ) ) ) ) ) ) ) ).
fof(d3_hahnban, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (v3_hahnban(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) => k3_funct_2(u1_struct_0(A), k1_numbers, B, k1_rlvect_1(A, C, D))=k3_xcmplx_0(D, k3_funct_2(u1_struct_0(A), k1_numbers, B, C))) ) ) ) ) ) ) ) ) ).
fof(d4_hahnban, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (v4_hahnban(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  ( ~ (r1_xxreal_0(D, k5_numbers))  => k3_funct_2(u1_struct_0(A), k1_numbers, B, k1_rlvect_1(A, C, D))=k3_xcmplx_0(D, k3_funct_2(u1_struct_0(A), k1_numbers, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(d5_hahnban, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (v5_hahnban(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (r1_xxreal_0(k5_numbers, D) => k3_funct_2(u1_struct_0(A), k1_numbers, B, k1_rlvect_1(A, C, D))=k3_xcmplx_0(D, k3_funct_2(u1_struct_0(A), k1_numbers, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(d6_hahnban, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (v6_hahnban(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) => k3_funct_2(u1_struct_0(A), k1_numbers, B, k1_rlvect_1(A, C, D))=k3_xcmplx_0(k9_complex1(D), k3_funct_2(u1_struct_0(A), k1_numbers, B, C))) ) ) ) ) ) ) ) ) ).
fof(d7_hahnban, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (v7_hahnban(B, A) <=> k3_funct_2(u1_struct_0(A), k1_numbers, B, k4_struct_0(A))=k5_numbers) ) ) ) ) ).
fof(t18_hahnban, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v3_hahnban(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k1_numbers, B, k4_algstr_0(A, C))=k1_real_1(k3_funct_2(u1_struct_0(A), k1_numbers, B, C))) ) ) ) ) ) ).
fof(t19_hahnban, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_hahnban(B, A) &  (v3_hahnban(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k1_numbers, B, k5_algstr_0(A, C, D))=k5_real_1(k3_funct_2(u1_struct_0(A), k1_numbers, B, C), k3_funct_2(u1_struct_0(A), k1_numbers, B, D))) ) ) ) ) ) ) ) ).
fof(t20_hahnban, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_hahnban(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) )  => k3_funct_2(u1_struct_0(A), k1_numbers, B, k4_struct_0(A))=k5_numbers) ) ) ) ).
fof(t21_hahnban, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), k1_numbers) &  (v2_hahnban(C, B) &  (v3_hahnban(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_numbers)))) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k1_rlsub_2(A, B, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), D))))) =>  (D=E =>  (r1_struct_0(B, D) |  (! [F] :  (v1_xreal_0(F) =>  (? [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(k1_rlsub_2(A, B, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), D)))), k1_numbers) &  (v2_hahnban(G, k1_rlsub_2(A, B, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), D)))) &  (v3_hahnban(G, k1_rlsub_2(A, B, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), D)))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_rlsub_2(A, B, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), D)))), k1_numbers)))) ) ) )  &  (k2_partfun1(u1_struct_0(k1_rlsub_2(A, B, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), D)))), k1_numbers, G, u1_struct_0(B))=C & k3_funct_2(u1_struct_0(k1_rlsub_2(A, B, k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), D)))), k1_numbers, G, E)=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_hahnban, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) &  (v1_hahnban(C, A) &  (v4_hahnban(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), k1_numbers) &  (v2_hahnban(D, B) &  (v3_hahnban(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_numbers)))) ) ) )  =>  ~ ( ( (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (E=F => r1_xxreal_0(k3_funct_2(u1_struct_0(B), k1_numbers, D, E), k3_funct_2(u1_struct_0(A), k1_numbers, C, F))) ) ) ) )  &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), k1_numbers) &  (v2_hahnban(E, A) &  (v3_hahnban(E, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) )  =>  ~ ( (k2_partfun1(u1_struct_0(A), k1_numbers, E, u1_struct_0(B))=D &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => r1_xxreal_0(k3_funct_2(u1_struct_0(A), k1_numbers, E, F), k3_funct_2(u1_struct_0(A), k1_numbers, C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_hahnban, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(u1_normsp_0(A)) &  (v1_funct_2(u1_normsp_0(A), u1_struct_0(A), k1_numbers) &  (v1_hahnban(u1_normsp_0(A), A) &  (v6_hahnban(u1_normsp_0(A), A) & m1_subset_1(u1_normsp_0(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) ) ) ).
fof(t24_hahnban, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), k1_numbers) &  (v2_hahnban(C, B) &  (v3_hahnban(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_numbers)))) ) ) )  =>  ~ ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (D=E => r1_xxreal_0(k3_funct_2(u1_struct_0(B), k1_numbers, C, D), k2_normsp_0(A, E))) ) ) ) )  &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), k1_numbers) &  (v2_hahnban(D, A) &  (v3_hahnban(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) )  =>  ~ ( (k2_partfun1(u1_struct_0(A), k1_numbers, D, u1_struct_0(B))=C &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => r1_xxreal_0(k3_funct_2(u1_struct_0(A), k1_numbers, D, E), k2_normsp_0(A, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_hahnban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))) =>  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(A)) & v1_hahnban1(C, A, B)) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(A)) & v2_hahnban1(C, A, B)) ) ) ) ) ) ) ).
fof(fc1_hahnban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_rlvect_1(A) & l2_algstr_0(A)) )  &  ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A)) )  =>  (v1_funct_1(k7_hahnban1(A, B)) &  (v1_funct_2(k7_hahnban1(A, B), u1_struct_0(B), u1_struct_0(A)) & v13_vectsp_1(k7_hahnban1(A, B), B, A)) ) ) ) ).
fof(fc2_hahnban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  &  ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A)) )  =>  (v1_funct_1(k7_hahnban1(A, B)) &  (v1_funct_2(k7_hahnban1(A, B), u1_struct_0(B), u1_struct_0(A)) & v1_hahnban1(k7_hahnban1(A, B), A, B)) ) ) ) ).
fof(fc3_hahnban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  &  ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A)) )  =>  (v1_funct_1(k7_hahnban1(A, B)) &  (v1_funct_2(k7_hahnban1(A, B), u1_struct_0(B), u1_struct_0(A)) & v2_hahnban1(k7_hahnban1(A, B), A, B)) ) ) ) ).
fof(rc1_hahnban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  &  ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A)) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v5_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(A)) &  (v13_vectsp_1(C, B, A) &  (v1_hahnban1(C, A, B) & v2_hahnban1(C, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc4_hahnban1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(A)) &  (v13_vectsp_1(C, B, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) &  (v13_vectsp_1(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) ) ) ) )  =>  (v1_funct_1(k3_hahnban1(A, B, C, D)) &  (v1_funct_2(k3_hahnban1(A, B, C, D), u1_struct_0(B), u1_struct_0(A)) & v13_vectsp_1(k3_hahnban1(A, B, C, D), B, A)) ) ) ) ).
fof(fc5_hahnban1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(A)) &  (v13_vectsp_1(C, B, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k4_hahnban1(A, B, C)) &  (v1_funct_2(k4_hahnban1(A, B, C), u1_struct_0(B), u1_struct_0(A)) & v13_vectsp_1(k4_hahnban1(A, B, C), B, A)) ) ) ) ).
fof(fc6_hahnban1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  (m1_subset_1(C, u1_struct_0(A)) &  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) &  (v13_vectsp_1(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) ) ) ) )  =>  (v1_funct_1(k6_hahnban1(A, B, C, D)) &  (v1_funct_2(k6_hahnban1(A, B, C, D), u1_struct_0(B), u1_struct_0(A)) & v13_vectsp_1(k6_hahnban1(A, B, C, D), B, A)) ) ) ) ).
fof(fc7_hahnban1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(A)) &  (v1_hahnban1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) &  (v1_hahnban1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) ) ) ) )  =>  (v1_funct_1(k3_hahnban1(A, B, C, D)) &  (v1_funct_2(k3_hahnban1(A, B, C, D), u1_struct_0(B), u1_struct_0(A)) & v1_hahnban1(k3_hahnban1(A, B, C, D), A, B)) ) ) ) ).
fof(fc8_hahnban1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(A)) &  (v1_hahnban1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k4_hahnban1(A, B, C)) &  (v1_funct_2(k4_hahnban1(A, B, C), u1_struct_0(B), u1_struct_0(A)) & v1_hahnban1(k4_hahnban1(A, B, C), A, B)) ) ) ) ).
fof(fc9_hahnban1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  (m1_subset_1(C, u1_struct_0(A)) &  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) &  (v1_hahnban1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) ) ) ) )  =>  (v1_funct_1(k6_hahnban1(A, B, C, D)) &  (v1_funct_2(k6_hahnban1(A, B, C, D), u1_struct_0(B), u1_struct_0(A)) & v1_hahnban1(k6_hahnban1(A, B, C, D), A, B)) ) ) ) ).
fof(fc10_hahnban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A)) )  =>  ( ~ (v2_struct_0(k8_hahnban1(A, B)))  &  (v2_rlvect_1(k8_hahnban1(A, B)) & v7_vectsp_1(k8_hahnban1(A, B), A)) ) ) ) ).
fof(fc11_hahnban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A)) )  =>  ( ~ (v2_struct_0(k8_hahnban1(A, B)))  &  (v3_rlvect_1(k8_hahnban1(A, B)) & v7_vectsp_1(k8_hahnban1(A, B), A)) ) ) ) ).
fof(fc12_hahnban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A)) )  =>  ( ~ (v2_struct_0(k8_hahnban1(A, B)))  &  (v4_rlvect_1(k8_hahnban1(A, B)) & v7_vectsp_1(k8_hahnban1(A, B), A)) ) ) ) ).
fof(fc13_hahnban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A)) )  =>  ( ~ (v2_struct_0(k8_hahnban1(A, B)))  &  (v13_algstr_0(k8_hahnban1(A, B)) & v7_vectsp_1(k8_hahnban1(A, B), A)) ) ) ) ).
fof(fc14_hahnban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v6_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A)) )  =>  ( ~ (v2_struct_0(k8_hahnban1(A, B)))  &  (v7_vectsp_1(k8_hahnban1(A, B), A) &  (v8_vectsp_1(k8_hahnban1(A, B), A) &  (v9_vectsp_1(k8_hahnban1(A, B), A) &  (v10_vectsp_1(k8_hahnban1(A, B), A) & v11_vectsp_1(k8_hahnban1(A, B), A)) ) ) ) ) ) ) ).
fof(cc2_hahnban1, axiom,  (! [A, B] :  ( (l1_struct_0(A) &  ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_numbers))) =>  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), k1_numbers) & v4_hahnban1(C, A, B)) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), k1_numbers) & v3_hahnban1(C, A, B)) ) ) ) ) ) ) ).
fof(cc3_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & v5_hahnban1(B, A)) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & v7_hahnban1(B, k1_complfld, A)) ) ) ) ) ) ) ).
fof(fc15_hahnban1, axiom,  (! [A, B] :  ( (l1_struct_0(A) &  ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A)) )  =>  (v1_funct_1(k9_hahnban1(A, B)) &  (v1_funct_2(k9_hahnban1(A, B), u1_struct_0(B), k1_numbers) & v4_hahnban1(k9_hahnban1(A, B), A, B)) ) ) ) ).
fof(fc16_hahnban1, axiom,  (! [A, B] :  ( (l1_struct_0(A) &  ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A)) )  =>  (v1_funct_1(k9_hahnban1(A, B)) &  (v1_funct_2(k9_hahnban1(A, B), u1_struct_0(B), k1_numbers) & v7_hahnban1(k9_hahnban1(A, B), A, B)) ) ) ) ).
fof(fc17_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (v1_funct_1(k9_hahnban1(k1_complfld, A)) &  (v1_funct_2(k9_hahnban1(k1_complfld, A), u1_struct_0(A), k1_numbers) & v5_hahnban1(k9_hahnban1(k1_complfld, A), A)) ) ) ) ).
fof(fc18_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (v1_funct_1(k9_hahnban1(k1_complfld, A)) &  (v1_funct_2(k9_hahnban1(k1_complfld, A), u1_struct_0(A), k1_numbers) & v6_hahnban1(k9_hahnban1(k1_complfld, A), A)) ) ) ) ).
fof(rc2_hahnban1, axiom,  (! [A, B] :  ( (l1_struct_0(A) &  ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A)) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_numbers))) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v5_relat_1(C, k1_numbers) &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), k1_numbers) &  (v4_hahnban1(C, A, B) & v7_hahnban1(C, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(rc3_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))) &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v5_relat_1(B, k1_numbers) &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v4_hahnban1(B, k1_complfld, A) &  (v5_hahnban1(B, A) & v6_hahnban1(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc19_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  ( ~ (v2_struct_0(k10_hahnban1(A)))  & v1_rlvect_1(k10_hahnban1(A))) ) ) ).
fof(fc20_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) & l1_vectsp_1(A, k1_complfld)) )  =>  (v1_rlvect_1(k10_hahnban1(A)) & v2_rlvect_1(k10_hahnban1(A))) ) ) ).
fof(fc21_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) & l1_vectsp_1(A, k1_complfld)) )  =>  (v1_rlvect_1(k10_hahnban1(A)) & v3_rlvect_1(k10_hahnban1(A))) ) ) ).
fof(fc22_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_rlvect_1(A) & l1_vectsp_1(A, k1_complfld)) )  =>  (v1_rlvect_1(k10_hahnban1(A)) & v4_rlvect_1(k10_hahnban1(A))) ) ) ).
fof(fc23_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) & l1_vectsp_1(A, k1_complfld)) )  =>  (v13_algstr_0(k10_hahnban1(A)) & v1_rlvect_1(k10_hahnban1(A))) ) ) ).
fof(fc24_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) )  =>  (v1_rlvect_1(k10_hahnban1(A)) &  (v5_rlvect_1(k10_hahnban1(A)) &  (v6_rlvect_1(k10_hahnban1(A)) &  (v7_rlvect_1(k10_hahnban1(A)) & v8_rlvect_1(k10_hahnban1(A))) ) ) ) ) ) ).
fof(fc25_hahnban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k10_hahnban1(A)), k1_numbers) &  (v2_hahnban(B, k10_hahnban1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_hahnban1(A)), k1_numbers)))) ) ) )  =>  (v1_funct_1(k13_hahnban1(A, B)) &  (v1_funct_2(k13_hahnban1(A, B), u1_struct_0(A), k1_numbers) & v4_hahnban1(k13_hahnban1(A, B), k1_complfld, A)) ) ) ) ).
fof(fc26_hahnban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v4_hahnban1(B, k1_complfld, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) )  =>  (v1_funct_1(k14_hahnban1(A, B)) &  (v1_funct_2(k14_hahnban1(A, B), u1_struct_0(k10_hahnban1(A)), k1_numbers) & v2_hahnban(k14_hahnban1(A, B), k10_hahnban1(A))) ) ) ) ).
fof(fc27_hahnban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k10_hahnban1(A)), k1_numbers) &  (v3_hahnban(B, k10_hahnban1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_hahnban1(A)), k1_numbers)))) ) ) )  =>  (v1_funct_1(k13_hahnban1(A, B)) &  (v1_funct_2(k13_hahnban1(A, B), u1_struct_0(A), k1_numbers) & v5_hahnban1(k13_hahnban1(A, B), A)) ) ) ) ).
fof(fc28_hahnban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v5_hahnban1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) )  =>  (v1_funct_1(k14_hahnban1(A, B)) &  (v1_funct_2(k14_hahnban1(A, B), u1_struct_0(k10_hahnban1(A)), k1_numbers) & v3_hahnban(k14_hahnban1(A, B), k10_hahnban1(A))) ) ) ) ).
fof(t2_hahnban1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => k3_xcmplx_0(k2_xcmplx_0(A, k3_xcmplx_0(B, k7_complex1)), k2_xcmplx_0(C, k3_xcmplx_0(D, k7_complex1)))=k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(A, C), k3_xcmplx_0(B, D)), k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A, D), k3_xcmplx_0(C, B)), k7_complex1))) ) ) ) ) ) ) ) ).
fof(t3_hahnban1, axiom,  (! [A] :  (m1_subset_1(A, k2_numbers) => k2_xcmplx_0(k9_complex1(A), k3_xcmplx_0(k5_numbers, k7_complex1))=k3_xcmplx_0(k7_xcmplx_0(k8_complex1(A), k2_xcmplx_0(k9_complex1(A), k3_xcmplx_0(k5_numbers, k7_complex1))), A)) ) ).
fof(d1_hahnban1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_hahnban1(A, B)=k2_xcmplx_0(A, k3_xcmplx_0(B, k7_complex1))) ) ) ) ).
fof(d2_hahnban1, axiom, k2_hahnban1=k7_complex1).
fof(t4_hahnban1, axiom, k8_group_1(k1_complfld, k2_hahnban1, k2_hahnban1)=k4_algstr_0(k1_complfld, k1_group_1(k1_complfld))).
fof(t5_hahnban1, axiom, k8_group_1(k1_complfld, k4_algstr_0(k1_complfld, k1_group_1(k1_complfld)), k4_algstr_0(k1_complfld, k1_group_1(k1_complfld)))=k1_group_1(k1_complfld)).
fof(t6_hahnban1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => k3_rlvect_1(k1_complfld, k1_hahnban1(A, B), k1_hahnban1(C, D))=k1_hahnban1(k2_xcmplx_0(A, C), k2_xcmplx_0(B, D))) ) ) ) ) ) ) ) ).
fof(t7_hahnban1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => k8_group_1(k1_complfld, k1_hahnban1(A, B), k1_hahnban1(C, D))=k1_hahnban1(k6_xcmplx_0(k3_xcmplx_0(A, C), k3_xcmplx_0(B, D)), k2_xcmplx_0(k3_xcmplx_0(A, D), k3_xcmplx_0(C, B)))) ) ) ) ) ) ) ) ).
fof(t9_hahnban1, axiom,  (! [A] :  (v1_xreal_0(A) => k9_complex1(k1_hahnban1(A, k5_numbers))=k9_complex1(A)) ) ).
fof(t10_hahnban1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  (k3_complex1(k3_rlvect_1(k1_complfld, A, B))=k3_real_1(k3_complex1(A), k3_complex1(B)) & k4_complex1(k3_rlvect_1(k1_complfld, A, B))=k3_real_1(k4_complex1(A), k4_complex1(B))) ) ) ) ) ).
fof(t11_hahnban1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  (k3_complex1(k8_group_1(k1_complfld, A, B))=k5_real_1(k4_real_1(k3_complex1(A), k3_complex1(B)), k4_real_1(k4_complex1(A), k4_complex1(B))) & k4_complex1(k8_group_1(k1_complfld, A, B))=k3_real_1(k4_real_1(k3_complex1(A), k4_complex1(B)), k4_real_1(k3_complex1(B), k4_complex1(A)))) ) ) ) ) ).
fof(d3_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (E=k3_hahnban1(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) => k3_funct_2(u1_struct_0(B), u1_struct_0(A), E, F)=k1_algstr_0(A, k3_funct_2(u1_struct_0(B), u1_struct_0(A), C, F), k3_funct_2(u1_struct_0(B), u1_struct_0(A), D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (D=k4_hahnban1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => k3_funct_2(u1_struct_0(B), u1_struct_0(A), D, E)=k4_algstr_0(A, k3_funct_2(u1_struct_0(B), u1_struct_0(A), C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  => k5_hahnban1(A, B, C, D)=k3_hahnban1(A, B, C, k4_hahnban1(A, B, D))) ) ) ) ) ) ) ) ).
fof(d6_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (E=k6_hahnban1(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) => k3_funct_2(u1_struct_0(B), u1_struct_0(A), E, F)=k6_algstr_0(A, C, k3_funct_2(u1_struct_0(B), u1_struct_0(A), D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  (l1_vectsp_1(B, A) => k7_hahnban1(A, B)=k8_funcop_1(u1_struct_0(A), k2_struct_0(B), k4_struct_0(A))) ) ) ) ).
fof(d8_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (v1_hahnban1(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k3_funct_2(u1_struct_0(B), u1_struct_0(A), C, k3_vectsp_1(A, B, E, D))=k6_algstr_0(A, E, k3_funct_2(u1_struct_0(B), u1_struct_0(A), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (v2_hahnban1(C, A, B) <=> k3_funct_2(u1_struct_0(B), u1_struct_0(A), C, k4_struct_0(B))=k4_struct_0(A)) ) ) ) ) ) ) ).
fof(t12_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) & l2_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  => r2_relset_1(u1_struct_0(B), u1_struct_0(A), k3_hahnban1(A, B, C, D), k3_hahnban1(A, B, D, C))) ) ) ) ) ) ) ) ).
fof(t13_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) & l2_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  => r2_relset_1(u1_struct_0(B), u1_struct_0(A), k3_hahnban1(A, B, k3_hahnban1(A, B, C, D), E), k3_hahnban1(A, B, C, k3_hahnban1(A, B, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t14_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k3_funct_2(u1_struct_0(B), u1_struct_0(A), k7_hahnban1(A, B), C)=k4_struct_0(A)) ) ) ) ) ) ).
fof(t15_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_rlvect_1(A) & l2_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  => r2_relset_1(u1_struct_0(B), u1_struct_0(A), k3_hahnban1(A, B, C, k7_hahnban1(A, B)), C)) ) ) ) ) ) ).
fof(t16_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  => r2_relset_1(u1_struct_0(B), u1_struct_0(A), k5_hahnban1(A, B, C, C), k7_hahnban1(A, B))) ) ) ) ) ) ).
fof(t17_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_vectsp_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  => r2_relset_1(u1_struct_0(B), u1_struct_0(A), k6_hahnban1(A, B, C, k3_hahnban1(A, B, D, E)), k3_hahnban1(A, B, k6_hahnban1(A, B, C, D), k6_hahnban1(A, B, C, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t18_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_vectsp_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  => r2_relset_1(u1_struct_0(B), u1_struct_0(A), k6_hahnban1(A, B, k1_algstr_0(A, C, D), E), k3_hahnban1(A, B, k6_hahnban1(A, B, C, E), k6_hahnban1(A, B, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t19_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  => r2_relset_1(u1_struct_0(B), u1_struct_0(A), k6_hahnban1(A, B, k6_algstr_0(A, C, D), E), k6_hahnban1(A, B, C, k6_hahnban1(A, B, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t20_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_vectsp_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  => r2_relset_1(u1_struct_0(B), u1_struct_0(A), k6_hahnban1(A, B, k5_struct_0(A), C), C)) ) ) ) ) ) ).
fof(d10_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v7_vectsp_1(C, A) & l1_vectsp_1(C, A)) )  =>  (C=k8_hahnban1(A, B) <=>  ( (! [D] :  (r2_tarski(D, u1_struct_0(C)) <=>  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) &  (v13_vectsp_1(D, B, A) &  (v1_hahnban1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) ) ) ) )  &  ( (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) &  (v13_vectsp_1(D, B, A) &  (v1_hahnban1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(A)) &  (v13_vectsp_1(E, B, A) &  (v1_hahnban1(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) ) )  => k1_binop_1(u1_algstr_0(C), D, E)=k3_hahnban1(A, B, D, E)) ) ) )  &  (k4_struct_0(C)=k7_hahnban1(A, B) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) &  (v13_vectsp_1(D, B, A) &  (v1_hahnban1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k1_binop_1(u1_vectsp_1(A, C), E, D)=k6_hahnban1(A, B, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_hahnban1, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_numbers)))) )  =>  (v3_hahnban1(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => r1_xxreal_0(k3_funct_2(u1_struct_0(B), k1_numbers, C, k1_algstr_0(B, D, E)), k3_real_1(k3_funct_2(u1_struct_0(B), k1_numbers, C, D), k3_funct_2(u1_struct_0(B), k1_numbers, C, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_hahnban1, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_numbers)))) )  =>  (v4_hahnban1(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => k3_funct_2(u1_struct_0(B), k1_numbers, C, k1_algstr_0(B, D, E))=k3_real_1(k3_funct_2(u1_struct_0(B), k1_numbers, C, D), k3_funct_2(u1_struct_0(B), k1_numbers, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (v5_hahnban1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) => k3_funct_2(u1_struct_0(A), k1_numbers, B, k3_vectsp_1(k1_complfld, A, k1_hahnban1(D, k5_numbers), C))=k3_xcmplx_0(D, k3_funct_2(u1_struct_0(A), k1_numbers, B, C))) ) ) ) ) ) ) ) ) ).
fof(t21_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (v5_hahnban1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) => k3_funct_2(u1_struct_0(A), k1_numbers, B, k3_vectsp_1(k1_complfld, A, k1_hahnban1(k5_numbers, D), C))=k3_xcmplx_0(D, k3_funct_2(u1_struct_0(A), k1_numbers, B, k3_vectsp_1(k1_complfld, A, k2_hahnban1, C)))) ) ) ) ) ) ) ) ) ).
fof(d14_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (v6_hahnban1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_complfld)) => k3_funct_2(u1_struct_0(A), k1_numbers, B, k3_vectsp_1(k1_complfld, A, D, C))=k3_xcmplx_0(k9_complex1(D), k3_funct_2(u1_struct_0(A), k1_numbers, B, C))) ) ) ) ) ) ) ) ) ).
fof(d15_hahnban1, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_vectsp_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_numbers)))) )  =>  (v7_hahnban1(C, A, B) <=> k1_funct_1(C, k4_struct_0(B))=k5_numbers) ) ) ) ) ) ) ).
fof(d16_hahnban1, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_vectsp_1(B, A) => k9_hahnban1(A, B)=k7_funcop_1(k2_struct_0(B), k5_numbers)) ) ) ) ).
fof(d17_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( (v1_rlvect_1(B) & l1_rlvect_1(B))  =>  (B=k10_hahnban1(A) <=>  (g2_algstr_0(u1_struct_0(B), u1_algstr_0(B), u2_struct_0(B))=g2_algstr_0(u1_struct_0(A), u1_algstr_0(A), u2_struct_0(A)) &  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_binop_1(u1_rlvect_1(B), C, D)=k3_vectsp_1(k1_complfld, A, k1_hahnban1(C, k5_numbers), D)) ) ) ) ) ) ) ) ) ) ).
fof(t22_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_vectsp_4(B, k1_complfld, A) => m1_rlsub_1(k10_hahnban1(B), k10_hahnban1(A))) ) ) ) ).
fof(t23_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k10_hahnban1(A)), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_hahnban1(A)), k1_numbers)))) ) ) ) ) ) ).
fof(t24_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v3_hahnban1(B, k1_complfld, A) &  (v6_hahnban1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k10_hahnban1(A)), k1_numbers) &  (v1_hahnban(B, k10_hahnban1(A)) &  (v4_hahnban(B, k10_hahnban1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_hahnban1(A)), k1_numbers)))) ) ) ) ) ) ) ) ).
fof(d18_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k1_complfld)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k10_hahnban1(A)), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_hahnban1(A)), k1_numbers)))) )  =>  (C=k11_hahnban1(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_funct_1(C, D)=k3_complex1(k3_funct_2(u1_struct_0(A), u1_struct_0(k1_complfld), B, D))) ) ) ) ) ) ) ) ) ).
fof(d19_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k1_complfld)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k10_hahnban1(A)), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_hahnban1(A)), k1_numbers)))) )  =>  (C=k12_hahnban1(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_funct_1(C, D)=k4_complex1(k3_funct_2(u1_struct_0(A), u1_struct_0(k1_complfld), B, D))) ) ) ) ) ) ) ) ) ).
fof(d20_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k10_hahnban1(A)), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_hahnban1(A)), k1_numbers)))) )  => k13_hahnban1(A, B)=B) ) ) ) ).
fof(d21_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  => k14_hahnban1(A, B)=B) ) ) ) ).
fof(d22_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (C=k15_hahnban1(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k1_numbers, C, D)=k3_funct_2(u1_struct_0(A), k1_numbers, B, k3_vectsp_1(k1_complfld, A, k2_hahnban1, D))) ) ) ) ) ) ) ) ) ).
fof(d23_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k10_hahnban1(A)), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_hahnban1(A)), k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k1_complfld)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) )  =>  (C=k16_hahnban1(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(k1_complfld), C, D)=k1_hahnban1(k3_funct_2(u1_struct_0(A), k1_numbers, k13_hahnban1(A, B), D), k1_real_1(k3_funct_2(u1_struct_0(A), k1_numbers, k15_hahnban1(A, k13_hahnban1(A, B)), D)))) ) ) ) ) ) ) ) ) ).
fof(t25_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k1_complfld)) &  (v13_vectsp_1(B, A, k1_complfld) &  (v1_hahnban1(B, k1_complfld, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) ) ) )  =>  (v1_funct_1(k11_hahnban1(A, B)) &  (v1_funct_2(k11_hahnban1(A, B), u1_struct_0(k10_hahnban1(A)), k1_numbers) &  (v2_hahnban(k11_hahnban1(A, B), k10_hahnban1(A)) &  (v3_hahnban(k11_hahnban1(A, B), k10_hahnban1(A)) & m1_subset_1(k11_hahnban1(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_hahnban1(A)), k1_numbers)))) ) ) ) ) ) ) ) ).
fof(t26_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k1_complfld)) &  (v13_vectsp_1(B, A, k1_complfld) &  (v1_hahnban1(B, k1_complfld, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) ) ) )  =>  (v1_funct_1(k12_hahnban1(A, B)) &  (v1_funct_2(k12_hahnban1(A, B), u1_struct_0(k10_hahnban1(A)), k1_numbers) &  (v2_hahnban(k12_hahnban1(A, B), k10_hahnban1(A)) &  (v3_hahnban(k12_hahnban1(A, B), k10_hahnban1(A)) & m1_subset_1(k12_hahnban1(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_hahnban1(A)), k1_numbers)))) ) ) ) ) ) ) ) ).
fof(t27_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k10_hahnban1(A)), k1_numbers) &  (v2_hahnban(B, k10_hahnban1(A)) &  (v3_hahnban(B, k10_hahnban1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_hahnban1(A)), k1_numbers)))) ) ) )  =>  (v1_funct_1(k16_hahnban1(A, B)) &  (v1_funct_2(k16_hahnban1(A, B), u1_struct_0(A), u1_struct_0(k1_complfld)) &  (v13_vectsp_1(k16_hahnban1(A, B), A, k1_complfld) &  (v1_hahnban1(k16_hahnban1(A, B), k1_complfld, A) & m1_subset_1(k16_hahnban1(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) ) ) ) ) ) ) ) ).
fof(t28_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v3_hahnban1(B, k1_complfld, A) &  (v6_hahnban1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, k1_complfld, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(C), u1_struct_0(k1_complfld)) &  (v13_vectsp_1(D, C, k1_complfld) &  (v1_hahnban1(D, k1_complfld, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(k1_complfld))))) ) ) )  =>  ~ ( ( (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (F=E => r1_xxreal_0(k9_complex1(k3_funct_2(u1_struct_0(C), u1_struct_0(k1_complfld), D, E)), k3_funct_2(u1_struct_0(A), k1_numbers, B, F))) ) ) ) )  &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(k1_complfld)) &  (v13_vectsp_1(E, A, k1_complfld) &  (v1_hahnban1(E, k1_complfld, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) ) ) )  =>  ~ ( (k5_relset_1(u1_struct_0(A), u1_struct_0(k1_complfld), E, u1_struct_0(C))=D &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => r1_xxreal_0(k9_complex1(k3_funct_2(u1_struct_0(A), u1_struct_0(k1_complfld), E, F)), k3_funct_2(u1_struct_0(A), k1_numbers, B, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_hahnban1, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  =>  (! [B] :  (v7_ordinal1(B) => k1_binop_1(k4_group_1(k1_complfld), k1_hahnban1(A, k5_numbers), B)=k1_hahnban1(k2_power(A, B), k5_numbers)) ) ) ) ) ).
fof(dt_k1_hahnban1, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => m1_subset_1(k1_hahnban1(A, B), u1_struct_0(k1_complfld))) ) ).
fof(dt_k2_hahnban1, axiom, m1_subset_1(k2_hahnban1, u1_struct_0(k1_complfld))).
fof(dt_k3_hahnban1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k3_hahnban1(A, B, C, D)) &  (v1_funct_2(k3_hahnban1(A, B, C, D), u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(k3_hahnban1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) ) ) ).
fof(dt_k4_hahnban1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) ) )  =>  (v1_funct_1(k4_hahnban1(A, B, C)) &  (v1_funct_2(k4_hahnban1(A, B, C), u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(k4_hahnban1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) ) ) ).
fof(dt_k5_hahnban1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k5_hahnban1(A, B, C, D)) &  (v1_funct_2(k5_hahnban1(A, B, C, D), u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(k5_hahnban1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) ) ) ).
fof(dt_k6_hahnban1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  (m1_subset_1(C, u1_struct_0(A)) &  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k6_hahnban1(A, B, C, D)) &  (v1_funct_2(k6_hahnban1(A, B, C, D), u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(k6_hahnban1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) ) ) ).
fof(dt_k7_hahnban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  & l1_vectsp_1(B, A))  =>  (v1_funct_1(k7_hahnban1(A, B)) &  (v1_funct_2(k7_hahnban1(A, B), u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(k7_hahnban1(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) ) ) ).
fof(dt_k8_hahnban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A)) )  =>  ( ~ (v2_struct_0(k8_hahnban1(A, B)))  &  (v7_vectsp_1(k8_hahnban1(A, B), A) & l1_vectsp_1(k8_hahnban1(A, B), A)) ) ) ) ).
fof(dt_k9_hahnban1, axiom,  (! [A, B] :  ( (l1_struct_0(A) & l1_vectsp_1(B, A))  =>  (v1_funct_1(k9_hahnban1(A, B)) &  (v1_funct_2(k9_hahnban1(A, B), u1_struct_0(B), k1_numbers) & m1_subset_1(k9_hahnban1(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_numbers)))) ) ) ) ).
fof(dt_k10_hahnban1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (v1_rlvect_1(k10_hahnban1(A)) & l1_rlvect_1(k10_hahnban1(A))) ) ) ).
fof(dt_k11_hahnban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k1_complfld)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) ) )  =>  (v1_funct_1(k11_hahnban1(A, B)) &  (v1_funct_2(k11_hahnban1(A, B), u1_struct_0(k10_hahnban1(A)), k1_numbers) & m1_subset_1(k11_hahnban1(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_hahnban1(A)), k1_numbers)))) ) ) ) ).
fof(dt_k12_hahnban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k1_complfld)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) ) )  =>  (v1_funct_1(k12_hahnban1(A, B)) &  (v1_funct_2(k12_hahnban1(A, B), u1_struct_0(k10_hahnban1(A)), k1_numbers) & m1_subset_1(k12_hahnban1(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_hahnban1(A)), k1_numbers)))) ) ) ) ).
fof(dt_k13_hahnban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k10_hahnban1(A)), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_hahnban1(A)), k1_numbers)))) ) )  =>  (v1_funct_1(k13_hahnban1(A, B)) &  (v1_funct_2(k13_hahnban1(A, B), u1_struct_0(A), k1_numbers) & m1_subset_1(k13_hahnban1(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) ).
fof(dt_k14_hahnban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) )  =>  (v1_funct_1(k14_hahnban1(A, B)) &  (v1_funct_2(k14_hahnban1(A, B), u1_struct_0(k10_hahnban1(A)), k1_numbers) & m1_subset_1(k14_hahnban1(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_hahnban1(A)), k1_numbers)))) ) ) ) ).
fof(dt_k15_hahnban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) )  =>  (v1_funct_1(k15_hahnban1(A, B)) &  (v1_funct_2(k15_hahnban1(A, B), u1_struct_0(A), k1_numbers) & m1_subset_1(k15_hahnban1(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) ).
fof(dt_k16_hahnban1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k10_hahnban1(A)), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_hahnban1(A)), k1_numbers)))) ) )  =>  (v1_funct_1(k16_hahnban1(A, B)) &  (v1_funct_2(k16_hahnban1(A, B), u1_struct_0(A), u1_struct_0(k1_complfld)) & m1_subset_1(k16_hahnban1(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) ) ) ) ).
fof(rc1_hallmar1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_finseq_1(B, k1_zfmisc_1(A)) &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_hallmar1, axiom,  (! [A, B, C] :  ( (v1_finset_1(A) &  (m1_finseq_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k4_ordinal1)) )  => v1_finset_1(k1_funct_1(B, C))) ) ).
fof(fc2_hallmar1, axiom,  (! [A, B, C] :  ( (v1_finset_1(A) & m1_finseq_1(B, k1_zfmisc_1(A)))  => v1_finset_1(k1_hallmar1(A, B, C))) ) ).
fof(rc2_hallmar1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (? [B] :  (m1_finseq_1(B, k1_zfmisc_1(A)) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) & v1_hallmar1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_hallmar1, axiom,  (! [A] :  (v1_finset_1(A) =>  (? [B] :  (m1_finseq_1(B, k1_zfmisc_1(A)) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k1_zfmisc_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) & v1_hallmar1(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_hallmar1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m1_finseq_1(B, k1_zfmisc_1(A)) =>  ( ( ~ (v1_xboole_0(B))  & v1_hallmar1(B, A))  =>  (v2_relat_1(B) &  ~ (v1_xboole_0(B)) ) ) ) ) ) ) ).
fof(cc2_hallmar1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  ( ( ~ (v1_xboole_0(B))  & m1_finseq_1(B, k1_zfmisc_1(A)))  & m1_subset_1(C, k4_ordinal1)) )  =>  (! [D] :  (m3_hallmar1(D, A, B, C) =>  ~ (v1_xboole_0(D)) ) ) ) ) ).
fof(cc3_hallmar1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  ( ~ (v1_xboole_0(B))  & m1_finseq_1(B, k1_zfmisc_1(A))) )  =>  (! [C] :  (m4_hallmar1(C, A, B) =>  ~ (v1_xboole_0(C)) ) ) ) ) ).
fof(t1_hallmar1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (v1_finset_1(B) => k1_nat_1(k4_card_1(k2_xboole_0(A, B)), k4_card_1(k3_xboole_0(A, B)))=k1_nat_1(k4_card_1(A), k4_card_1(B))) ) ) ) ).
fof(t2_hallmar1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v2_relat_1(B) & m2_finseq_1(B, k1_zfmisc_1(A)))  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ ( (r2_tarski(C, k4_finseq_1(B)) & k1_funct_1(B, C)=k1_xboole_0) ) ) ) ) ) ) ) ).
fof(d1_hallmar1, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (! [D] :  (D=k1_hallmar1(A, B, C) <=>  (! [E] :  (r2_hidden(E, D) <=>  (? [F] :  (r2_tarski(F, C) &  (r2_tarski(F, k4_finseq_1(B)) & r2_hidden(E, k1_funct_1(B, F))) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_hallmar1, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, k1_zfmisc_1(A)) =>  (! [C] : r1_tarski(k1_hallmar1(A, B, C), A)) ) ) ) ).
fof(t4_hallmar1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (! [D] :  (r1_tarski(C, D) => r1_tarski(k1_hallmar1(A, B, C), k1_hallmar1(A, B, D))) ) ) ) ) ) ) ).
fof(t5_hallmar1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r2_tarski(C, k4_finseq_1(B)) => k1_hallmar1(A, B, k1_tarski(C))=k1_funct_1(B, C)) ) ) ) ) ) ) ).
fof(t6_hallmar1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (r2_tarski(C, k4_finseq_1(B)) & r2_tarski(D, k4_finseq_1(B)))  => k1_hallmar1(A, B, k2_tarski(C, D))=k2_xboole_0(k1_funct_1(B, C), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ).
fof(t7_hallmar1, axiom,  (! [A] :  (! [B] :  (v1_finset_1(B) =>  (! [C] :  (m2_finseq_1(C, k1_zfmisc_1(B)) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (r2_tarski(D, A) & r2_tarski(D, k4_finseq_1(C)))  => r1_tarski(k1_funct_1(C, D), k1_hallmar1(B, C, A))) ) ) ) ) ) ) ) ).
fof(t8_hallmar1, axiom,  (! [A] :  (! [B] :  (v1_finset_1(B) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m2_finseq_1(D, k1_zfmisc_1(B)) =>  ( (r2_tarski(C, A) & r2_tarski(C, k4_finseq_1(D)))  => k1_hallmar1(B, D, A)=k2_xboole_0(k1_hallmar1(B, D, k6_subset_1(A, k1_tarski(C))), k1_funct_1(D, C))) ) ) ) ) ) ) ) ).
fof(t9_hallmar1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_finset_1(C) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m2_finseq_1(E, k1_zfmisc_1(C)) =>  (r2_tarski(D, k4_finseq_1(E)) => k1_hallmar1(C, E, k2_xboole_0(k2_xboole_0(k1_tarski(D), A), B))=k2_xboole_0(k1_funct_1(E, D), k1_hallmar1(C, E, k2_xboole_0(A, B)))) ) ) ) ) ) ) ) ) ).
fof(t10_hallmar1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (! [E] :  ( (r2_tarski(D, k1_funct_1(B, C)) & r2_tarski(E, k1_funct_1(B, C)))  =>  (D=E | k4_subset_1(k1_funct_1(B, C), k6_subset_1(k1_funct_1(B, C), k1_tarski(D)), k6_subset_1(k1_funct_1(B, C), k1_tarski(E)))=k1_funct_1(B, C)) ) ) ) ) ) ) ) ) ) ).
fof(d2_hallmar1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (! [E] :  (m2_finseq_1(E, k1_zfmisc_1(A)) =>  (E=k2_hallmar1(A, B, C, D) <=>  (k4_finseq_1(E)=k4_finseq_1(B) &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r2_tarski(F, k4_finseq_1(E)) =>  ( (C=F => k1_funct_1(E, F)=k6_subset_1(k1_funct_1(B, F), k1_tarski(D)))  &  ( ~ (C=F)  => k1_funct_1(E, F)=k1_funct_1(B, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_hallmar1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( (r2_tarski(C, k4_finseq_1(B)) & r2_tarski(D, k1_funct_1(B, C)))  => k4_card_1(k1_funct_1(k2_hallmar1(A, B, C, D), C))=k6_xcmplx_0(k4_card_1(k1_funct_1(B, C)), 1)) ) ) ) ) ) ) ) ).
fof(t12_hallmar1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (! [E] : k1_hallmar1(A, k2_hallmar1(A, B, C, D), k6_subset_1(E, k1_tarski(C)))=k1_hallmar1(A, B, k6_subset_1(E, k1_tarski(C)))) ) ) ) ) ) ) ) ).
fof(t13_hallmar1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (! [E] :  ( ~ (r2_tarski(C, E))  => k1_hallmar1(A, B, E)=k1_hallmar1(A, k2_hallmar1(A, B, C, D), E)) ) ) ) ) ) ) ) ) ).
fof(t14_hallmar1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (! [E] :  ( (r2_tarski(C, k4_finseq_1(k2_hallmar1(A, B, C, D))) & r2_tarski(C, E))  => k1_hallmar1(A, k2_hallmar1(A, B, C, D), E)=k2_xboole_0(k1_hallmar1(A, B, k6_subset_1(E, k1_tarski(C))), k6_subset_1(k1_funct_1(B, C), k1_tarski(D)))) ) ) ) ) ) ) ) ) ).
fof(d3_hallmar1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (r1_hallmar1(A, B, C) <=>  (? [D] :  (m2_finseq_1(D, A) &  (D=C &  (k4_finseq_1(B)=k4_finseq_1(D) &  ( (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r2_tarski(E, k4_finseq_1(D)) => r2_tarski(k1_funct_1(D, E), k1_funct_1(B, E))) ) )  & v2_funct_1(D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_hallmar1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, k1_zfmisc_1(A)) =>  (v1_hallmar1(B, A) <=>  (! [C] :  (v1_finset_1(C) =>  (r1_tarski(C, k4_finseq_1(B)) => r1_xxreal_0(k4_card_1(C), k4_card_1(k1_hallmar1(A, B, C)))) ) ) ) ) ) ) ) ).
fof(t15_hallmar1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, k1_zfmisc_1(A)))  =>  (v1_hallmar1(B, A) => v2_relat_1(B)) ) ) ) ) ).
fof(t16_hallmar1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (r2_tarski(C, k4_finseq_1(B)) & v1_hallmar1(B, A))  => r1_xxreal_0(1, k4_card_1(k1_funct_1(B, C)))) ) ) ) ) ) ) ).
fof(t17_hallmar1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, k1_zfmisc_1(A)))  =>  ~ ( ( (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r2_tarski(C, k4_finseq_1(B)) => k4_card_1(k1_funct_1(B, C))=1) ) )  &  (v1_hallmar1(B, A) &  (! [C] :  ~ (r1_hallmar1(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t18_hallmar1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, k1_zfmisc_1(A)) =>  ( (? [C] : r1_hallmar1(A, B, C))  => v1_hallmar1(B, A)) ) ) ) ) ).
fof(d5_hallmar1, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m2_finseq_1(D, k1_zfmisc_1(A)) =>  (m1_hallmar1(D, A, B, C) <=>  (k4_finseq_1(D)=k4_finseq_1(B) &  ( (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r2_tarski(E, k4_finseq_1(B)) =>  (E=C | k1_funct_1(B, E)=k1_funct_1(D, E)) ) ) )  & r1_tarski(k1_funct_1(D, C), k1_funct_1(B, C))) ) ) ) ) ) ) ) ) ) ).
fof(d6_hallmar1, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m2_finseq_1(C, k1_zfmisc_1(A)) =>  (m2_hallmar1(C, A, B) <=>  (k4_finseq_1(C)=k4_finseq_1(B) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r2_tarski(D, k4_finseq_1(B)) => r1_tarski(k1_funct_1(C, D), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ).
fof(d7_hallmar1, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) =>  (k1_funct_1(B, C)=k1_xboole_0 |  (! [D] :  (m2_hallmar1(D, A, B) =>  (m3_hallmar1(D, A, B, C) <=> k1_card_1(k1_funct_1(D, C))=1) ) ) ) ) ) ) ) ) ) ).
fof(t19_hallmar1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_hallmar1(D, A, B, C) => m2_hallmar1(D, A, B)) ) ) ) ) ) ) ) ).
fof(t20_hallmar1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (r2_tarski(C, k4_finseq_1(B)) => m1_hallmar1(k2_hallmar1(A, B, C, D), A, B, C)) ) ) ) ) ) ) ) ).
fof(t21_hallmar1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (r2_tarski(C, k4_finseq_1(B)) => m2_hallmar1(k2_hallmar1(A, B, C, D), A, B)) ) ) ) ) ) ) ) ).
fof(t22_hallmar1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m2_hallmar1(C, A, B) =>  (! [D] :  (m2_hallmar1(D, A, C) => m2_hallmar1(D, A, B)) ) ) ) ) ) ) ) ).
fof(t23_hallmar1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v2_relat_1(B) & m2_finseq_1(B, k1_zfmisc_1(A)))  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m3_hallmar1(D, A, B, C) =>  ~ ( (r2_tarski(C, k4_finseq_1(B)) & k1_funct_1(D, C)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ).
fof(t24_hallmar1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v2_relat_1(B) & m2_finseq_1(B, k1_zfmisc_1(A)))  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m3_hallmar1(E, A, B, C) =>  (! [F] :  (m3_hallmar1(F, A, E, D) =>  ( (r2_tarski(C, k4_finseq_1(B)) & r2_tarski(D, k4_finseq_1(B)))  =>  (k1_funct_1(F, C)=k1_xboole_0 |  (k1_funct_1(E, D)=k1_xboole_0 |  (m3_hallmar1(F, A, B, D) & m3_hallmar1(F, A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_hallmar1, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => m1_hallmar1(B, A, B, C)) ) ) ) ) ).
fof(t26_hallmar1, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, k1_zfmisc_1(A)) => m2_hallmar1(B, A, B)) ) ) ).
fof(d8_hallmar1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, k1_zfmisc_1(A)) =>  (v2_relat_1(B) =>  (! [C] :  (m2_hallmar1(C, A, B) =>  (m4_hallmar1(C, A, B) <=>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r2_tarski(D, k4_finseq_1(B)) => k1_card_1(k1_funct_1(C, D))=1) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_hallmar1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v2_relat_1(B) &  ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, k1_zfmisc_1(A))) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (m4_hallmar1(C, A, B) <=>  (k9_xtuple_0(C)=k4_finseq_1(B) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r2_tarski(D, k4_finseq_1(B)) => m3_hallmar1(C, A, B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_hallmar1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, k1_zfmisc_1(A)))  =>  (! [C] :  (! [D] :  (m2_hallmar1(D, A, B) =>  (r1_hallmar1(A, D, C) => r1_hallmar1(A, B, C)) ) ) ) ) ) ) ) ).
fof(t29_hallmar1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, k1_zfmisc_1(A)) =>  (v1_hallmar1(B, A) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ ( (r1_xxreal_0(2, k4_card_1(k1_funct_1(B, C))) &  (! [D] :  ~ ( (r2_tarski(D, k1_funct_1(B, C)) & v1_hallmar1(k2_hallmar1(A, B, C, D), A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_hallmar1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ ( (r2_tarski(C, k4_finseq_1(B)) &  (v1_hallmar1(B, A) &  (! [D] :  (m3_hallmar1(D, A, B, C) =>  ~ (v1_hallmar1(D, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_hallmar1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, k1_zfmisc_1(A)))  =>  ~ ( (v1_hallmar1(B, A) &  (! [C] :  (m4_hallmar1(C, A, B) =>  ~ (v1_hallmar1(C, A)) ) ) ) ) ) ) ) ) ).
fof(t32_hallmar1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, k1_zfmisc_1(A)))  =>  ( (? [C] : r1_hallmar1(A, B, C))  <=> v1_hallmar1(B, A)) ) ) ) ) ).
fof(s1_hallmar1, axiom,  ( ( (p1_s1_hallmar1(f1_s1_hallmar1) & r1_xxreal_0(2, f1_s1_hallmar1))  &  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ( (r1_xxreal_0(1, A) & p1_s1_hallmar1(k1_nat_1(A, 1)))  =>  (r1_xxreal_0(f1_s1_hallmar1, A) | p1_s1_hallmar1(A)) ) ) ) )  =>  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, f1_s1_hallmar1))  => p1_s1_hallmar1(A)) ) ) ) ).
fof(s2_hallmar1, axiom,  ( ( (? [A] :  (m1_subset_1(A, k4_ordinal1) &  ( ~ (r1_xxreal_0(A, 1))  & p1_s2_hallmar1(A)) ) )  &  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ( (r1_xxreal_0(1, A) & p1_s2_hallmar1(k1_nat_1(A, 1)))  => p1_s2_hallmar1(A)) ) ) )  => p1_s2_hallmar1(1)) ).
fof(dt_f1_s1_hallmar1, axiom, m1_subset_1(f1_s1_hallmar1, k4_ordinal1)).
fof(dt_k2_hallmar1, axiom,  (! [A, B, C, D] :  ( (v1_finset_1(A) &  (m1_finseq_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k4_ordinal1)) )  => m2_finseq_1(k2_hallmar1(A, B, C, D), k1_zfmisc_1(A))) ) ).
fof(dt_m1_hallmar1, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k4_ordinal1))  =>  (! [D] :  (m1_hallmar1(D, A, B, C) => m2_finseq_1(D, k1_zfmisc_1(A))) ) ) ) ).
fof(existence_m1_hallmar1, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k4_ordinal1))  =>  (? [D] : m1_hallmar1(D, A, B, C)) ) ) ).
fof(dt_m2_hallmar1, axiom,  (! [A, B] :  (m1_finseq_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m2_hallmar1(C, A, B) => m2_finseq_1(C, k1_zfmisc_1(A))) ) ) ) ).
fof(existence_m2_hallmar1, axiom,  (! [A, B] :  (m1_finseq_1(B, k1_zfmisc_1(A)) =>  (? [C] : m2_hallmar1(C, A, B)) ) ) ).
fof(dt_m3_hallmar1, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, k1_zfmisc_1(A)) & v7_ordinal1(C))  =>  (! [D] :  (m3_hallmar1(D, A, B, C) => m2_hallmar1(D, A, B)) ) ) ) ).
fof(existence_m3_hallmar1, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, k1_zfmisc_1(A)) & v7_ordinal1(C))  =>  (? [D] : m3_hallmar1(D, A, B, C)) ) ) ).
fof(dt_m4_hallmar1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(B, k1_zfmisc_1(A)))  =>  (! [C] :  (m4_hallmar1(C, A, B) => m2_hallmar1(C, A, B)) ) ) ) ).
fof(existence_m4_hallmar1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(B, k1_zfmisc_1(A)))  =>  (? [C] : m4_hallmar1(C, A, B)) ) ) ).
fof(fc1_hausdorf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  => v8_pre_topc(k3_pcomps_1(A))) ) ).
fof(fc2_hausdorf, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k4_weierstr(A, B)) &  (v1_funct_2(k4_weierstr(A, B), u1_struct_0(k3_pcomps_1(A)), u1_struct_0(k3_topmetr)) & v5_pre_topc(k4_weierstr(A, B), k3_pcomps_1(A), k3_topmetr)) ) ) ) ).
fof(fc3_hausdorf, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  &  ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k3_pcomps_1(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) ) )  =>  (v1_funct_1(k5_weierstr(A, B)) &  (v1_funct_2(k5_weierstr(A, B), u1_struct_0(k3_pcomps_1(A)), u1_struct_0(k3_topmetr)) & v5_pre_topc(k5_weierstr(A, B), k3_pcomps_1(A), k3_topmetr)) ) ) ) ).
fof(fc4_hausdorf, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  &  ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k3_pcomps_1(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) ) )  =>  (v1_funct_1(k6_weierstr(A, B)) &  (v1_funct_2(k6_weierstr(A, B), u1_struct_0(k3_pcomps_1(A)), u1_struct_0(k3_topmetr)) & v5_pre_topc(k6_weierstr(A, B), k3_pcomps_1(A), k3_topmetr)) ) ) ) ).
fof(t1_hausdorf, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_xxreal_0(k5_numbers, A) & k4_xxreal_0(A, B)=k5_numbers)  => A=k5_numbers) ) ) ) ) ).
fof(t2_hausdorf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_funct_1(k4_weierstr(A, B), B)=k5_numbers) ) ) ) ).
fof(t3_hausdorf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) => r2_tarski(k5_numbers, k7_relset_1(u1_struct_0(k3_pcomps_1(A)), u1_struct_0(k3_topmetr), k4_weierstr(A, C), B))) ) ) ) ) ) ) ).
fof(t4_hausdorf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, k7_relset_1(u1_struct_0(k3_pcomps_1(A)), u1_struct_0(k3_topmetr), k4_weierstr(A, C), B)) => r1_xxreal_0(k5_numbers, D)) ) ) ) ) ) ) ) ) ).
fof(t5_hausdorf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) =>  (! [C] :  (r2_tarski(C, B) => k1_funct_1(k6_weierstr(A, B), C)=k5_numbers) ) ) ) ) ) ).
fof(t6_hausdorf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) =>  (r2_tarski(B, k2_pre_topc(k3_pcomps_1(A), C)) <=>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_tarski(E, C) &  ~ (r1_xxreal_0(D, k3_metric_1(A, B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_hausdorf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_funct_1(k6_weierstr(A, B), C)=k5_numbers <=>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_tarski(E, B) &  ~ (r1_xxreal_0(D, k3_metric_1(A, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_hausdorf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, k2_pre_topc(k3_pcomps_1(A), B)) <=> k1_funct_1(k6_weierstr(A, B), C)=k5_numbers) ) ) ) ) ) ) ).
fof(t9_hausdorf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v4_pre_topc(B, k3_pcomps_1(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) <=> k1_funct_1(k6_weierstr(A, B), C)=k5_numbers) ) ) ) ) ) ) ).
fof(t10_hausdorf, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))))  =>  (? [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  &  (A=B & k3_weierstr(A)=k3_seq_4(B)) ) ) ) ) ).
fof(t11_hausdorf, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))))  =>  (? [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  &  (A=B & k2_weierstr(A)=k2_seq_4(B)) ) ) ) ) ).
fof(t12_hausdorf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_numbers)) =>  (D=k7_relset_1(u1_struct_0(k3_pcomps_1(A)), u1_struct_0(k3_topmetr), k4_weierstr(A, C), B) => v3_xxreal_2(D)) ) ) ) ) ) ) ) ) ).
fof(t13_hausdorf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, B) => r1_xxreal_0(k1_funct_1(k6_weierstr(A, B), C), k3_metric_1(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t14_hausdorf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(E, B) => r1_xxreal_0(C, k3_metric_1(A, D, E))) ) )  => r1_xxreal_0(C, k1_funct_1(k6_weierstr(A, B), D))) ) ) ) ) ) ) ) ) ).
fof(t15_hausdorf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_xxreal_0(k1_funct_1(k6_weierstr(A, B), C), k2_xcmplx_0(k3_metric_1(A, C, D), k1_funct_1(k6_weierstr(A, B), D)))) ) ) ) ) ) ) ) ).
fof(t16_hausdorf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (B=C => k1_pre_topc(k3_pcomps_1(A), B)=k3_pcomps_1(k1_topmetr(A, C))) ) ) ) ) ) ) ).
fof(t17_hausdorf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k1_topmetr(A, C)))) =>  ( (B=D & v6_tbsp_1(D, k1_topmetr(A, C)))  => v6_tbsp_1(B, A)) ) ) ) ) ) ) ) ) ).
fof(t18_hausdorf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) =>  ( (C=B & v2_compts_1(C, k3_pcomps_1(A)))  => v6_tbsp_1(B, A)) ) ) ) ) ) ) ).
fof(t19_hausdorf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (r2_tarski(D, B) & r1_xxreal_0(k1_funct_1(k6_weierstr(A, B), C), k3_metric_1(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t20_hausdorf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(D, B) & v2_compts_1(B, k3_pcomps_1(A)))  => r1_xxreal_0(k3_metric_1(A, C, D), k1_funct_1(k5_weierstr(A, B), C))) ) ) ) ) ) ) ) ) ).
fof(t21_hausdorf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (v2_compts_1(B, k3_pcomps_1(A)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(D, B) & r1_xxreal_0(k3_metric_1(A, D, C), k1_funct_1(k5_weierstr(A, B), C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_hausdorf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (v2_compts_1(B, k3_pcomps_1(A)) &  (v2_compts_1(C, k3_pcomps_1(A)) & r2_tarski(D, C)) )  => r1_xxreal_0(k1_funct_1(k6_weierstr(A, B), D), k10_weierstr(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t23_hausdorf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (v2_compts_1(B, k3_pcomps_1(A)) &  (v2_compts_1(C, k3_pcomps_1(A)) & r2_tarski(D, C)) )  => r1_xxreal_0(k1_funct_1(k5_weierstr(A, B), D), k10_weierstr(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t24_hausdorf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_numbers)) =>  ( (D=k7_relset_1(u1_struct_0(k3_pcomps_1(A)), u1_struct_0(k3_topmetr), k5_weierstr(A, B), C) &  (v2_compts_1(B, k3_pcomps_1(A)) & v2_compts_1(C, k3_pcomps_1(A))) )  => v4_xxreal_2(D)) ) ) ) ) ) ) ) ) ).
fof(t25_hausdorf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_numbers)) =>  ( (D=k7_relset_1(u1_struct_0(k3_pcomps_1(A)), u1_struct_0(k3_topmetr), k6_weierstr(A, B), C) &  (v2_compts_1(B, k3_pcomps_1(A)) & v2_compts_1(C, k3_pcomps_1(A))) )  => v4_xxreal_2(D)) ) ) ) ) ) ) ) ) ).
fof(t26_hausdorf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v2_compts_1(B, k3_pcomps_1(A)) => r1_xxreal_0(k1_funct_1(k6_weierstr(A, B), C), k1_funct_1(k5_weierstr(A, B), C))) ) ) ) ) ) ) ).
fof(t27_hausdorf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  => k7_relset_1(u1_struct_0(k3_pcomps_1(A)), u1_struct_0(k3_topmetr), k6_weierstr(A, B), B)=k1_seq_4(k5_numbers)) ) ) ) ).
fof(t28_hausdorf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  ( (v2_compts_1(B, k3_pcomps_1(A)) & v2_compts_1(C, k3_pcomps_1(A)))  => r1_xxreal_0(k5_numbers, k8_weierstr(A, B, C))) ) ) ) ) ) ) ).
fof(t29_hausdorf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  => k8_weierstr(A, B, B)=k5_numbers) ) ) ) ).
fof(t30_hausdorf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  ( (v2_compts_1(B, k3_pcomps_1(A)) & v2_compts_1(C, k3_pcomps_1(A)))  => r1_xxreal_0(k5_numbers, k9_weierstr(A, B, C))) ) ) ) ) ) ) ).
fof(t31_hausdorf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (v2_compts_1(B, k3_pcomps_1(A)) &  (v2_compts_1(C, k3_pcomps_1(A)) & r2_tarski(D, B)) )  => r1_xxreal_0(k1_funct_1(k6_weierstr(A, C), D), k8_weierstr(A, C, B))) ) ) ) ) ) ) ) ) ).
fof(d1_hausdorf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) => k1_hausdorf(A, B, C)=k4_xxreal_0(k8_weierstr(A, B, C), k8_weierstr(A, C, B))) ) ) ) ) ) ).
fof(t32_hausdorf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (v2_compts_1(B, k3_pcomps_1(A)) &  (v2_compts_1(C, k3_pcomps_1(A)) & r2_tarski(D, B)) )  => r1_xxreal_0(k1_funct_1(k6_weierstr(A, C), D), k1_hausdorf(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t33_hausdorf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  ( (v2_compts_1(B, k3_pcomps_1(A)) &  (v2_compts_1(C, k3_pcomps_1(A)) & v2_compts_1(D, k3_pcomps_1(A))) )  => r1_xxreal_0(k8_weierstr(A, B, D), k2_xcmplx_0(k1_hausdorf(A, B, C), k1_hausdorf(A, C, D)))) ) ) ) ) ) ) ) ) ).
fof(t34_hausdorf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  ( (v2_compts_1(B, k3_pcomps_1(A)) &  (v2_compts_1(C, k3_pcomps_1(A)) & v2_compts_1(D, k3_pcomps_1(A))) )  => r1_xxreal_0(k8_weierstr(A, D, B), k2_xcmplx_0(k1_hausdorf(A, B, C), k1_hausdorf(A, C, D)))) ) ) ) ) ) ) ) ) ).
fof(t35_hausdorf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  ( (v2_compts_1(B, k3_pcomps_1(A)) & v2_compts_1(C, k3_pcomps_1(A)))  => r1_xxreal_0(k5_numbers, k1_hausdorf(A, B, C))) ) ) ) ) ) ) ).
fof(t36_hausdorf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  => k1_hausdorf(A, B, B)=k5_numbers) ) ) ) ).
fof(t37_hausdorf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  ( (v2_compts_1(B, k3_pcomps_1(A)) &  (v2_compts_1(C, k3_pcomps_1(A)) & k1_hausdorf(A, B, C)=k5_numbers) )  => B=C) ) ) ) ) ) ) ).
fof(t38_hausdorf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  ( (v2_compts_1(B, k3_pcomps_1(A)) &  (v2_compts_1(C, k3_pcomps_1(A)) & v2_compts_1(D, k3_pcomps_1(A))) )  => r1_xxreal_0(k1_hausdorf(A, B, D), k2_xcmplx_0(k1_hausdorf(A, B, C), k1_hausdorf(A, C, D)))) ) ) ) ) ) ) ) ) ).
fof(d2_hausdorf, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [D] :  (v1_xreal_0(D) =>  (D=k2_hausdorf(A, B, C) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(k14_euclid(A))))) &  (? [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(k14_euclid(A))))) &  (B=E &  (C=F & D=k8_weierstr(k14_euclid(A), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_hausdorf, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [D] :  (v1_xreal_0(D) =>  (D=k3_hausdorf(A, B, C) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(k14_euclid(A))))) &  (? [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(k14_euclid(A))))) &  (B=E &  (C=F & D=k1_hausdorf(k14_euclid(A), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_hausdorf, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  ( (v2_compts_1(B, k15_euclid(A)) & v2_compts_1(C, k15_euclid(A)))  => r1_xxreal_0(k5_numbers, k3_hausdorf(A, B, C))) ) ) ) ) ) ) ).
fof(t40_hausdorf, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  => k3_hausdorf(A, B, B)=k5_numbers) ) ) ) ).
fof(t41_hausdorf, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  ( (v2_compts_1(B, k15_euclid(A)) &  (v2_compts_1(C, k15_euclid(A)) & k3_hausdorf(A, B, C)=k5_numbers) )  => B=C) ) ) ) ) ) ) ).
fof(t42_hausdorf, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  ( (v2_compts_1(B, k15_euclid(A)) &  (v2_compts_1(C, k15_euclid(A)) & v2_compts_1(D, k15_euclid(A))) )  => r1_xxreal_0(k3_hausdorf(A, B, D), k2_xcmplx_0(k3_hausdorf(A, B, C), k3_hausdorf(A, C, D)))) ) ) ) ) ) ) ) ) ).
fof(dt_k1_hausdorf, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) )  => v1_xreal_0(k1_hausdorf(A, B, C))) ) ).
fof(commutativity_k1_hausdorf, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) )  => k1_hausdorf(A, B, C)=k1_hausdorf(A, C, B)) ) ).
fof(dt_k2_hausdorf, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k4_ordinal1) &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A))))) )  => v1_xreal_0(k2_hausdorf(A, B, C))) ) ).
fof(dt_k3_hausdorf, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k4_ordinal1) &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A))))) )  => v1_xreal_0(k3_hausdorf(A, B, C))) ) ).
fof(commutativity_k3_hausdorf, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k4_ordinal1) &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A))))) )  => k3_hausdorf(A, B, C)=k3_hausdorf(A, C, B)) ) ).
fof(t1_heine, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_topmetr(C, k7_metric_1) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  ( (A=D & B=E)  => k3_metric_1(C, D, E)=k9_complex1(k6_xcmplx_0(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_heine, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v5_valued_0(B) & r1_tarski(k10_xtuple_0(B), k4_ordinal1))  => r1_xxreal_0(A, k8_nat_1(k1_numbers, B, A))) ) ) ) ) ).
fof(d1_heine, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (C=k1_heine(A, B) <=>  (! [D] :  (v7_ordinal1(D) => k8_nat_1(k1_numbers, C, D)=k2_power(B, k8_nat_1(k1_numbers, A, D))) ) ) ) ) ) ) ) ) ).
fof(t3_heine, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_limfunc1(A) => v1_limfunc1(k1_heine(A, 2))) ) ) ).
fof(t4_heine, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) => v1_compts_1(k4_topmetr(A, B))) ) ) ) ) ).
fof(dt_k1_heine, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  & v7_ordinal1(B))  =>  (v1_funct_1(k1_heine(A, B)) &  (v1_funct_2(k1_heine(A, B), k4_ordinal1, k1_numbers) & m1_subset_1(k1_heine(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(cc1_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(cc2_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (v4_glib_001(B, A) => v5_glib_001(B, A)) ) ) ) ) ).
fof(cc3_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  ( ( ~ (v3_glib_001(B, A))  & v5_glib_001(B, A))  =>  ( ~ (v1_glib_001(B, A))  & v5_glib_001(B, A)) ) ) ) ) ) ).
fof(fc1_helly, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  & m1_subset_1(B, k6_glib_000(A)))  =>  (v1_glib_001(k2_helly(A, B, B), A) & v5_glib_001(k2_helly(A, B, B), A)) ) ) ).
fof(fc2_helly, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  & m1_subset_1(B, k6_glib_000(A)))  =>  (v3_glib_001(k2_helly(A, B, B), A) & v5_glib_001(k2_helly(A, B, B), A)) ) ) ).
fof(t1_helly, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  => k6_finseq_6(k9_finseq_1(k1_funct_1(A, 1)), A)=A) ) ).
fof(d1_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (C=k1_helly(A, B) <=>  (r1_tarski(C, A) &  (r1_tarski(C, B) &  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  ( (r1_tarski(D, A) & r1_tarski(D, B))  => r1_tarski(D, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r1_tarski(A, B) <=> k1_helly(A, B)=A) ) ) ) ) ).
fof(t3_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => r1_xxreal_0(k3_finseq_1(k1_helly(A, B)), k3_finseq_1(A))) ) ) ) ).
fof(t4_helly, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  => r1_tarski(k9_finseq_1(k1_funct_1(A, 1)), A)) ) ).
fof(t5_helly, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  =>  (k1_funct_1(A, 1)=k1_funct_1(B, 1) => r1_xxreal_0(1, k3_finseq_1(k1_helly(A, B)))) ) ) ) ) ).
fof(t6_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(C, k3_finseq_1(k1_helly(A, B))) => k1_funct_1(k1_helly(A, B), C)=k1_funct_1(A, C)) ) ) ) ) ) ) ).
fof(t7_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(C, k3_finseq_1(k1_helly(A, B))) => k1_funct_1(A, C)=k1_funct_1(B, C)) ) ) ) ) ) ) ).
fof(t8_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( ~ ( ( ~ (r1_tarski(A, B))  & r1_xxreal_0(k3_finseq_1(A), k3_finseq_1(k1_helly(A, B)))) )  &  ~ ( ( ~ (r1_xxreal_0(k3_finseq_1(A), k3_finseq_1(k1_helly(A, B))))  & r1_tarski(A, B)) ) ) ) ) ) ) ).
fof(t9_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ~ ( ( ~ (r1_tarski(A, B))  &  ( ~ (r1_tarski(B, A))  & k1_funct_1(A, k1_nat_1(k3_finseq_1(k1_helly(A, B)), 1))=k1_funct_1(B, k1_nat_1(k3_finseq_1(k1_helly(A, B)), 1))) ) ) ) ) ) ) ).
fof(t10_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k3_finseq_1(k8_glib_001(A, B, C, D)), k3_finseq_1(B))) ) ) ) ) ) ) ) ).
fof(t11_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( ( ~ (v3_glib_001(k8_glib_001(A, B, C, D), A))  & v3_glib_001(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(t12_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v1_abian(C)) )  =>  (! [D] :  ( (v7_ordinal1(D) &  ~ (v1_abian(D)) )  =>  (! [E] :  ( (v7_ordinal1(E) &  ~ (v1_abian(E)) )  =>  ~ ( (r1_xxreal_0(C, D) &  (r1_xxreal_0(D, k3_finseq_1(B)) &  (r1_xxreal_0(E, k3_finseq_1(k8_glib_001(A, B, C, D))) &  (! [F] :  ( (v7_ordinal1(F) &  ~ (v1_abian(F)) )  =>  ~ ( (k1_funct_1(k8_glib_001(A, B, C, D), E)=k1_funct_1(B, F) &  (F=k6_xcmplx_0(k2_xcmplx_0(C, E), 1) & r1_xxreal_0(F, k3_finseq_1(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m3_glib_001(C, A) =>  (r1_tarski(B, C) => r1_tarski(k13_glib_001(A, B), k13_glib_001(A, C))) ) ) ) ) ) ) ).
fof(t14_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m3_glib_001(C, A) =>  (r1_tarski(B, C) => r1_tarski(k14_glib_001(A, B), k14_glib_001(A, C))) ) ) ) ) ) ) ).
fof(t15_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m3_glib_001(C, A) => r1_tarski(B, k7_glib_001(A, B, C))) ) ) ) ) ) ).
fof(t16_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m3_glib_001(C, A) =>  ( (v3_glib_001(B, A) & k4_glib_001(A, B)=k3_glib_001(A, C))  => k7_glib_001(A, B, C)=C) ) ) ) ) ) ) ).
fof(t17_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v4_glib_001(B, A) & m3_glib_001(B, A))  =>  (! [C] :  ( (v4_glib_001(C, A) & m3_glib_001(C, A))  =>  ( (k4_glib_001(A, B)=k3_glib_001(A, C) & r1_xboole_0(k14_glib_001(A, B), k14_glib_001(A, C)))  => v4_glib_001(k7_glib_001(A, B, C), A)) ) ) ) ) ) ) ).
fof(t18_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v5_glib_001(B, A) & m3_glib_001(B, A))  =>  (! [C] :  ( (v5_glib_001(C, A) & m3_glib_001(C, A))  =>  ( (k4_glib_001(A, B)=k3_glib_001(A, C) &  (r1_xboole_0(k14_glib_001(A, B), k14_glib_001(A, C)) & r1_tarski(k9_subset_1(k6_glib_000(A), k13_glib_001(A, B), k13_glib_001(A, C)), k2_tarski(k3_glib_001(A, B), k4_glib_001(A, B)))) )  =>  (v1_glib_001(B, A) |  (v1_glib_001(C, A) |  ( (r2_tarski(k3_glib_001(A, B), k13_glib_001(A, C)) &  ~ (k3_glib_001(A, B)=k4_glib_001(A, C)) )  | v5_glib_001(k7_glib_001(A, B, C), A)) ) ) ) ) ) ) ) ) ) ).
fof(t19_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v5_glib_001(B, A) & m3_glib_001(B, A))  =>  (! [C] :  ( (v5_glib_001(C, A) & m3_glib_001(C, A))  =>  ( (k4_glib_001(A, B)=k3_glib_001(A, C) & k9_subset_1(k6_glib_000(A), k13_glib_001(A, B), k13_glib_001(A, C))=k1_tarski(k4_glib_001(A, B)))  =>  (v1_glib_001(B, A) |  (v1_glib_001(C, A) |  ( ~ (v1_glib_001(k7_glib_001(A, B, C), A))  & v5_glib_001(k7_glib_001(A, B, C), A)) ) ) ) ) ) ) ) ) ) ).
fof(t20_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v5_glib_001(B, A) & m3_glib_001(B, A))  =>  (! [C] :  ( (v5_glib_001(C, A) & m3_glib_001(C, A))  =>  ( (k4_glib_001(A, B)=k3_glib_001(A, C) &  (k4_glib_001(A, C)=k3_glib_001(A, B) &  (r1_xboole_0(k14_glib_001(A, B), k14_glib_001(A, C)) & k9_subset_1(k6_glib_000(A), k13_glib_001(A, B), k13_glib_001(A, C))=k2_tarski(k4_glib_001(A, B), k3_glib_001(A, B))) ) )  =>  (v1_glib_001(B, A) |  (v1_glib_001(C, A) | v8_glib_001(k7_glib_001(A, B, C), A)) ) ) ) ) ) ) ) ) ).
fof(t21_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v7_glib_000(A)) ) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m3_glib_001(C, A) =>  (! [D] :  ( (v7_ordinal1(D) &  ~ (v1_abian(D)) )  =>  ( (r1_xxreal_0(D, k3_finseq_1(B)) &  (r1_xxreal_0(D, k3_finseq_1(C)) &  (! [E] :  ( (v7_ordinal1(E) &  ~ (v1_abian(E)) )  =>  (r1_xxreal_0(E, D) => k1_funct_1(B, E)=k1_funct_1(C, E)) ) ) ) )  =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, D))  => k1_funct_1(B, E)=k1_funct_1(C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m3_glib_001(C, A) =>  ~ ( (k3_glib_001(A, B)=k3_glib_001(A, C) & v1_abian(k3_finseq_1(k1_helly(B, C)))) ) ) ) ) ) ) ) ).
fof(t23_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m3_glib_001(C, A) =>  (k3_glib_001(A, B)=k3_glib_001(A, C) =>  (r1_tarski(B, C) | r1_xxreal_0(k1_nat_1(k3_finseq_1(k1_helly(B, C)), 2), k3_finseq_1(B))) ) ) ) ) ) ) ) ).
fof(t24_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v5_glib_000(A)) ) ) ) )  =>  (! [B] :  (m3_glib_001(B, A) =>  (! [C] :  (m3_glib_001(C, A) =>  ~ ( (k3_glib_001(A, B)=k3_glib_001(A, C) &  ( ~ (r1_tarski(B, C))  &  ( ~ (r1_tarski(C, B))  & k1_funct_1(B, k1_nat_1(k3_finseq_1(k1_helly(B, C)), 2))=k1_funct_1(C, k1_nat_1(k3_finseq_1(k1_helly(B, C)), 2))) ) ) ) ) ) ) ) ) ) ).
fof(t25_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  =>  (! [B] :  ( (v5_glib_001(B, A) & m3_glib_001(B, A))  =>  ~ ( ( ~ (v3_glib_001(B, A))  & v1_glib_001(B, A)) ) ) ) ) ) ).
fof(t26_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  =>  (! [B] :  ( (v5_glib_001(B, A) & m3_glib_001(B, A))  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v1_abian(C)) )  =>  (! [D] :  ( (v7_ordinal1(D) &  ~ (v1_abian(D)) )  =>  ~ ( ( ~ (r1_xxreal_0(D, C))  &  (r1_xxreal_0(D, k3_finseq_1(B)) & k1_funct_1(B, C)=k1_funct_1(B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  ( (v5_glib_001(D, A) & m3_glib_001(D, A))  =>  (! [E] :  ( (v5_glib_001(E, A) & m3_glib_001(E, A))  =>  ( (r1_glib_001(A, B, C, D) & r1_glib_001(A, B, C, E))  => D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  ( (v5_glib_001(D, A) & m3_glib_001(D, A))  =>  (D=k2_helly(A, B, C) <=> r1_glib_001(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t28_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (k3_glib_001(A, k2_helly(A, B, C))=B & k4_glib_001(A, k2_helly(A, B, C))=C) ) ) ) ) ) ) ).
fof(t29_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (r2_tarski(B, k13_glib_001(A, k2_helly(A, B, C))) & r2_tarski(C, k13_glib_001(A, k2_helly(A, B, C)))) ) ) ) ) ) ) ).
fof(t30_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) => k13_glib_001(A, k2_helly(A, B, B))=k1_tarski(B)) ) ) ) ).
fof(t31_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) => k6_glib_001(A, k2_helly(A, B, C))=k2_helly(A, C, B)) ) ) ) ) ) ).
fof(t32_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) => k13_glib_001(A, k2_helly(A, B, C))=k13_glib_001(A, k2_helly(A, C, B))) ) ) ) ) ) ).
fof(t33_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  ( (v3_glib_002(D) & m1_glib_000(D, A))  =>  (! [E] :  (m1_subset_1(E, k6_glib_000(D)) =>  (! [F] :  (m1_subset_1(F, k6_glib_000(D)) =>  ( (B=E & C=F)  => k2_helly(A, B, C)=k2_helly(D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  ( (v3_glib_002(D) & m1_glib_000(D, A))  =>  ( (r2_tarski(B, k24_glib_000(A, D)) & r2_tarski(C, k24_glib_000(A, D)))  => r1_tarski(k13_glib_001(A, k2_helly(A, B, C)), k24_glib_000(A, D))) ) ) ) ) ) ) ) ) ).
fof(t35_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  =>  (! [B] :  ( (v5_glib_001(B, A) & m3_glib_001(B, A))  =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(A)) =>  (! [E] :  ( (v7_ordinal1(E) &  ~ (v1_abian(E)) )  =>  (! [F] :  ( (v7_ordinal1(F) &  ~ (v1_abian(F)) )  =>  ( (r1_xxreal_0(E, F) &  (r1_xxreal_0(F, k3_finseq_1(B)) &  (k1_funct_1(B, E)=C & k1_funct_1(B, F)=D) ) )  => k2_helly(A, C, D)=k8_glib_001(A, B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(A)) =>  (r2_tarski(D, k13_glib_001(A, k2_helly(A, B, C))) <=> k2_helly(A, B, C)=k7_glib_001(A, k2_helly(A, B, D), k2_helly(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t37_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(A)) =>  (r2_tarski(D, k13_glib_001(A, k2_helly(A, B, C))) <=> r1_tarski(k2_helly(A, B, D), k2_helly(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t38_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  =>  (! [B] :  ( (v5_glib_001(B, A) & m3_glib_001(B, A))  =>  (! [C] :  ( (v5_glib_001(C, A) & m3_glib_001(C, A))  =>  ( (k4_glib_001(A, B)=k3_glib_001(A, C) & k9_subset_1(k6_glib_000(A), k13_glib_001(A, B), k13_glib_001(A, C))=k1_tarski(k4_glib_001(A, B)))  => v5_glib_001(k7_glib_001(A, B, C), A)) ) ) ) ) ) ) ).
fof(t39_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(A)) =>  (r2_tarski(D, k13_glib_001(A, k2_helly(A, B, C))) <=> k9_subset_1(k6_glib_000(A), k13_glib_001(A, k2_helly(A, B, D)), k13_glib_001(A, k2_helly(A, D, C)))=k1_tarski(D)) ) ) ) ) ) ) ) ) ).
fof(t40_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(A)) =>  (! [E] :  (m1_subset_1(E, k6_glib_000(A)) =>  (! [F] :  ( (v5_glib_001(F, A) & m3_glib_001(F, A))  =>  (! [G] :  ( (v5_glib_001(G, A) & m3_glib_001(G, A))  =>  ( (F=k2_helly(A, B, C) &  (G=k2_helly(A, B, D) & E=k1_funct_1(F, k3_finseq_1(k1_helly(F, G)))) )  =>  (r1_tarski(F, G) |  (r1_tarski(G, F) | k9_subset_1(k6_glib_000(A), k13_glib_001(A, k2_helly(A, E, C)), k13_glib_001(A, k2_helly(A, E, D)))=k1_tarski(E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(A)) =>  (! [E] :  (m1_subset_1(E, k6_glib_000(A)) =>  (E=k3_helly(A, B, C, D) <=> k9_subset_1(k6_glib_000(A), k9_subset_1(k6_glib_000(A), k13_glib_001(A, k2_helly(A, B, C)), k13_glib_001(A, k2_helly(A, C, D))), k13_glib_001(A, k2_helly(A, D, B)))=k1_tarski(E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(A)) => k3_helly(A, B, C, D)=k3_helly(A, B, D, C)) ) ) ) ) ) ) ) ).
fof(t42_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(A)) => k3_helly(A, B, C, D)=k3_helly(A, C, B, D)) ) ) ) ) ) ) ) ).
fof(t43_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(A)) => k3_helly(A, B, C, D)=k3_helly(A, C, D, B)) ) ) ) ) ) ) ) ).
fof(t44_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(A)) => k3_helly(A, B, C, D)=k3_helly(A, D, B, C)) ) ) ) ) ) ) ) ).
fof(t45_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(A)) => k3_helly(A, B, C, D)=k3_helly(A, D, C, B)) ) ) ) ) ) ) ) ).
fof(t46_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(A)) =>  (r2_tarski(D, k13_glib_001(A, k2_helly(A, B, C))) => k3_helly(A, B, C, D)=D) ) ) ) ) ) ) ) ) ).
fof(t47_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) => k3_helly(A, B, B, B)=B) ) ) ) ).
fof(t48_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) => k3_helly(A, B, B, C)=B) ) ) ) ) ) ).
fof(t49_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) => k3_helly(A, B, C, B)=B) ) ) ) ) ) ).
fof(t50_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) => k3_helly(A, B, C, C)=C) ) ) ) ) ) ).
fof(t51_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  =>  (! [B] :  ( (v5_glib_001(B, A) & m3_glib_001(B, A))  =>  (! [C] :  ( (v5_glib_001(C, A) & m3_glib_001(C, A))  =>  (! [D] :  (m1_subset_1(D, k6_glib_000(A)) =>  (! [E] :  (m1_subset_1(E, k6_glib_000(A)) =>  (! [F] :  (m1_subset_1(F, k6_glib_000(A)) =>  ( (B=k2_helly(A, D, E) & C=k2_helly(A, D, F))  =>  (r2_tarski(E, k13_glib_001(A, C)) |  (r2_tarski(F, k13_glib_001(A, B)) | k3_helly(A, D, E, F)=k1_funct_1(B, k3_finseq_1(k1_helly(B, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  =>  (! [B] :  ( (v5_glib_001(B, A) & m3_glib_001(B, A))  =>  (! [C] :  ( (v5_glib_001(C, A) & m3_glib_001(C, A))  =>  (! [D] :  ( (v5_glib_001(D, A) & m3_glib_001(D, A))  =>  (! [E] :  ( (v5_glib_001(E, A) & m3_glib_001(E, A))  =>  (! [F] :  (m1_subset_1(F, k6_glib_000(A)) =>  (! [G] :  (m1_subset_1(G, k6_glib_000(A)) =>  (! [H] :  (m1_subset_1(H, k6_glib_000(A)) =>  ( (B=k2_helly(A, F, G) &  (C=k2_helly(A, F, H) &  (D=k2_helly(A, G, F) & E=k2_helly(A, G, H)) ) )  =>  (r2_tarski(G, k13_glib_001(A, C)) |  (r2_tarski(H, k13_glib_001(A, B)) |  (r2_tarski(F, k13_glib_001(A, E)) | k1_funct_1(B, k3_finseq_1(k1_helly(B, C)))=k1_funct_1(D, k3_finseq_1(k1_helly(D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(A)) =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  ~ ( ( (! [F] :  (r2_tarski(F, E) =>  ( (? [G] :  ( (v3_glib_002(G) & m1_glib_000(G, A))  & F=k24_glib_000(A, G)) )  &  ~ ( ( ~ ( (r2_tarski(B, F) & r2_tarski(C, F)) )  &  ( ~ ( (r2_tarski(B, F) & r2_tarski(D, F)) )  &  ~ ( (r2_tarski(C, F) & r2_tarski(D, F)) ) ) ) ) ) ) )  & k1_setfam_1(E)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_helly, axiom,  (! [A] :  (v1_helly(A) <=>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  ~ ( (r1_tarski(B, A) &  ( (! [C] :  (! [D] :  ~ ( (r2_tarski(C, B) &  (r2_tarski(D, B) & r1_xboole_0(C, D)) ) ) ) )  & k1_setfam_1(B)=k1_xboole_0) ) ) ) ) ) ) ).
fof(t54_helly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  =>  (! [B] :  (v1_finset_1(B) =>  ( (! [C] :  ~ ( (r2_tarski(C, B) &  (! [D] :  ( (v3_glib_002(D) & m1_glib_000(D, A))  =>  ~ (C=k24_glib_000(A, D)) ) ) ) ) )  => v1_helly(B)) ) ) ) ) ).
fof(dt_k1_helly, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  =>  (v1_relat_1(k1_helly(A, B)) &  (v1_funct_1(k1_helly(A, B)) & v1_finseq_1(k1_helly(A, B))) ) ) ) ).
fof(commutativity_k1_helly, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  => k1_helly(A, B)=k1_helly(B, A)) ) ).
fof(dt_k2_helly, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  &  (m1_subset_1(B, k6_glib_000(A)) & m1_subset_1(C, k6_glib_000(A))) )  =>  (v5_glib_001(k2_helly(A, B, C), A) & m3_glib_001(k2_helly(A, B, C), A)) ) ) ).
fof(dt_k3_helly, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  &  (m1_subset_1(B, k6_glib_000(A)) &  (m1_subset_1(C, k6_glib_000(A)) & m1_subset_1(D, k6_glib_000(A))) ) )  => m1_subset_1(k3_helly(A, B, C, D), k6_glib_000(A))) ) ).
fof(rc1_henmodel, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) & v1_henmodel(B, A)) ) ) ) ).
fof(t1_henmodel, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ( (k2_relset_1(B, C)=B &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(E, k1_relset_1(A, C)) & r2_tarski(D, k1_relset_1(A, C)))  =>  (r1_xxreal_0(E, D) | r2_tarski(k1_funct_1(C, D), k1_funct_1(C, E))) ) ) ) ) ) )  =>  ( (! [D] :  (v7_ordinal1(D) =>  ~ (k1_ordinal1(D)=A) ) )  | k1_funct_1(C, k3_tarski(A))=k3_tarski(k2_relset_1(B, C))) ) ) ) ) ) ) ) ).
fof(t2_henmodel, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k4_ordinal1))) )  =>  (r2_tarski(k3_tarski(A), A) &  (! [B] :  ~ ( (r2_tarski(B, A) &  ( ~ (r2_tarski(B, k3_tarski(A)))  &  ~ (B=k3_tarski(A)) ) ) ) ) ) ) ) ).
fof(t3_henmodel, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  =>  (! [C] :  (v1_finset_1(C) =>  ~ ( ( (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(E, k1_relset_1(k4_ordinal1, B)) & r2_tarski(D, k1_relset_1(k4_ordinal1, B)))  =>  (r1_xxreal_0(E, D) | r1_tarski(k8_nat_1(A, B, D), k8_nat_1(A, B, E))) ) ) ) ) )  &  (r1_tarski(C, k3_tarski(k2_relset_1(A, B))) &  (! [D] :  (v7_ordinal1(D) =>  ~ (r1_tarski(C, k8_nat_1(A, B, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_henmodel, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r1_henmodel(A, B, C) <=>  (? [D] :  (m2_finseq_1(D, k3_cqc_lang(A)) &  (r1_tarski(k2_relset_1(k3_cqc_lang(A), D), B) & r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), D, k12_finseq_1(k3_cqc_lang(A), C)))) ) ) ) ) ) ) ) ) ) ).
fof(d2_henmodel, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (v1_henmodel(B, A) <=>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ~ ( (r1_henmodel(A, B, C) & r1_henmodel(A, B, k6_cqc_lang(A, C))) ) ) ) ) ) ) ) ) ).
fof(d3_henmodel, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) =>  (v2_henmodel(B, A) <=>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ~ ( (r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), B, k12_finseq_1(k3_cqc_lang(A), C))) & r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), B, k12_finseq_1(k3_cqc_lang(A), k6_cqc_lang(A, C))))) ) ) ) ) ) ) ) ) ).
fof(t4_henmodel, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_finseq_1(C, k3_cqc_lang(A)) =>  ( (v1_henmodel(B, A) & r1_tarski(k2_relset_1(k3_cqc_lang(A), C), B))  => v2_henmodel(C, A)) ) ) ) ) ) ) ).
fof(t5_henmodel, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_finseq_1(C, k3_cqc_lang(A)) =>  (! [D] :  (m2_finseq_1(D, k3_cqc_lang(A)) =>  (r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), C, k12_finseq_1(k3_cqc_lang(A), B))) => r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), k8_finseq_1(k3_cqc_lang(A), C, D), k12_finseq_1(k3_cqc_lang(A), B)))) ) ) ) ) ) ) ) ) ).
fof(t6_henmodel, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  ( ~ (v1_henmodel(B, A))  <=>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => r1_henmodel(A, B, C)) ) ) ) ) ) ) ).
fof(t7_henmodel, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  ~ ( ( ~ (v1_henmodel(B, A))  &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) =>  ~ ( (r1_tarski(C, B) &  (v1_finset_1(C) &  ~ (v1_henmodel(C, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_henmodel, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ~ ( (r1_henmodel(A, k4_subset_1(k3_cqc_lang(A), B, k6_domain_1(k3_cqc_lang(A), C)), D) &  (! [E] :  (m2_finseq_1(E, k3_cqc_lang(A)) =>  ~ ( (r1_tarski(k2_relset_1(k3_cqc_lang(A), E), B) & r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), k8_finseq_1(k3_cqc_lang(A), E, k12_finseq_1(k3_cqc_lang(A), C)), k12_finseq_1(k3_cqc_lang(A), D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_henmodel, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r1_henmodel(A, B, C) <=>  ~ (v1_henmodel(k4_subset_1(k3_cqc_lang(A), B, k6_domain_1(k3_cqc_lang(A), k6_cqc_lang(A, C))), A)) ) ) ) ) ) ) ) ).
fof(t10_henmodel, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r1_henmodel(A, B, k6_cqc_lang(A, C)) <=>  ~ (v1_henmodel(k4_subset_1(k3_cqc_lang(A), B, k6_domain_1(k3_cqc_lang(A), C)), A)) ) ) ) ) ) ) ) ).
fof(t11_henmodel, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(k3_cqc_lang(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k3_cqc_lang(A)))))) )  =>  ( (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(D, k1_relset_1(k4_ordinal1, B)) & r2_tarski(C, k1_relset_1(k4_ordinal1, B)))  =>  (r1_xxreal_0(D, C) |  (v1_henmodel(k8_nat_1(k9_setfam_1(k3_cqc_lang(A)), B, C), A) & r1_tarski(k8_nat_1(k9_setfam_1(k3_cqc_lang(A)), B, C), k8_nat_1(k9_setfam_1(k3_cqc_lang(A)), B, D))) ) ) ) ) ) )  => v1_henmodel(k5_setfam_1(k3_cqc_lang(A), k2_relset_1(k9_setfam_1(k3_cqc_lang(A)), B)), A)) ) ) ) ) ).
fof(t12_henmodel, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  ( ~ (v1_henmodel(B, A))  =>  (! [D] :  (m1_valuat_1(D, A, C) =>  (! [E] :  (m2_funct_2(E, k3_qc_lang1(A), C, k2_valuat_1(A, C)) =>  ~ (r6_calcul_1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_henmodel, axiom,  (! [A] :  (m1_qc_lang1(A) => v1_henmodel(k6_domain_1(k3_cqc_lang(A), k5_cqc_lang(A)), A)) ) ).
fof(d4_henmodel, axiom,  (! [A] :  (m1_qc_lang1(A) => k1_henmodel(A)=k3_qc_lang1(A)) ) ).
fof(d5_henmodel, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_henmodel(B, A) & m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))))  =>  (! [C] :  (m1_valuat_1(C, A, k1_henmodel(A)) =>  (m1_henmodel(C, A, B) <=>  (! [D] :  (m1_subset_1(D, k6_qc_lang1(A)) =>  (! [E] :  (m1_subset_1(E, k2_margrel1(k1_henmodel(A))) =>  (r1_margrel1(k1_henmodel(A), k3_funct_2(k6_qc_lang1(A), k2_margrel1(k1_henmodel(A)), C, D), E) =>  (! [F] :  (r2_tarski(F, E) <=>  (? [G] :  ( (v5_relat_1(G, k3_qc_lang1(A)) &  (v3_card_1(G, k7_qc_lang1(A, D)) & m2_finseq_1(G, k2_qc_lang1(A))) )  &  (F=G & r1_henmodel(A, B, k2_henmodel(A, D, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_henmodel, axiom,  (! [A] :  (m1_qc_lang1(A) => k3_henmodel(A)=k11_cqc_sim1(k3_qc_lang1(A))) ) ).
fof(t14_henmodel, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v5_relat_1(C, k3_qc_lang1(A)) &  (v3_card_1(C, B) & m2_finseq_1(C, k2_qc_lang1(A))) )  => k4_valuat_1(A, k1_henmodel(A), B, C, k3_henmodel(A))=C) ) ) ) ) ) ).
fof(t15_henmodel, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k3_cqc_lang(A)) => r4_calcul_1(A, k8_finseq_1(k3_cqc_lang(A), B, k12_finseq_1(k3_cqc_lang(A), k5_cqc_lang(A))))) ) ) ) ).
fof(t16_henmodel, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_henmodel(B, A) & m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))))  =>  (! [C] :  (m1_henmodel(C, A, B) =>  (r1_valuat_1(A, k1_henmodel(A), k5_cqc_lang(A), C, k3_henmodel(A)) <=> r1_henmodel(A, B, k5_cqc_lang(A))) ) ) ) ) ) ) ).
fof(t17_henmodel, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_subset_1(C, k6_qc_lang1(A), k8_qc_lang1(A, B)) =>  (! [D] :  ( (v5_relat_1(D, k3_qc_lang1(A)) &  (v3_card_1(D, B) & m2_finseq_1(D, k2_qc_lang1(A))) )  =>  (! [E] :  ( (v1_henmodel(E, A) & m1_subset_1(E, k1_zfmisc_1(k3_cqc_lang(A))))  =>  (! [F] :  (m1_henmodel(F, A, E) =>  (r1_valuat_1(A, k1_henmodel(A), k4_cqc_lang(B, A, C, D), F, k3_henmodel(A)) <=> r1_henmodel(A, E, k4_cqc_lang(B, A, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_henmodel, axiom,  (! [A] :  (m1_qc_lang1(A) =>  ~ (v1_xboole_0(k1_henmodel(A))) ) ) ).
fof(dt_k2_henmodel, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k6_qc_lang1(A)) &  (v5_relat_1(C, k3_qc_lang1(A)) &  (v3_card_1(C, k7_qc_lang1(A, B)) & m1_finseq_1(C, k2_qc_lang1(A))) ) ) )  => m2_subset_1(k2_henmodel(A, B, C), k9_qc_lang1(A), k3_cqc_lang(A))) ) ).
fof(redefinition_k2_henmodel, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k6_qc_lang1(A)) &  (v5_relat_1(C, k3_qc_lang1(A)) &  (v3_card_1(C, k7_qc_lang1(A, B)) & m1_finseq_1(C, k2_qc_lang1(A))) ) ) )  => k2_henmodel(A, B, C)=k10_qc_lang1(A, B, C)) ) ).
fof(dt_m1_henmodel, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) &  (v1_henmodel(B, A) & m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A)))) )  =>  (! [C] :  (m1_henmodel(C, A, B) => m1_valuat_1(C, A, k1_henmodel(A))) ) ) ) ).
fof(existence_m1_henmodel, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) &  (v1_henmodel(B, A) & m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A)))) )  =>  (? [C] : m1_henmodel(C, A, B)) ) ) ).
fof(dt_k3_henmodel, axiom,  (! [A] :  (m1_qc_lang1(A) => m2_funct_2(k3_henmodel(A), k3_qc_lang1(A), k1_henmodel(A), k2_valuat_1(A, k1_henmodel(A)))) ) ).
fof(fc1_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (v1_funct_1(k7_hahnban1(k1_complfld, A)) &  (v1_funct_2(k7_hahnban1(k1_complfld, A), u1_struct_0(A), u1_struct_0(k1_complfld)) & v1_hermitan(k7_hahnban1(k1_complfld, A), A)) ) ) ) ).
fof(cc1_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld)))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k1_complfld)) & v1_hermitan(B, A)) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k1_complfld)) & v2_hahnban1(B, k1_complfld, A)) ) ) ) ) ) ) ).
fof(rc1_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld)))) &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v5_relat_1(B, u1_struct_0(k1_complfld)) &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k1_complfld)) &  (v13_vectsp_1(B, A, k1_complfld) &  (v2_hahnban1(B, k1_complfld, A) &  (v1_valued_0(B) & v1_hermitan(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc2_hermitan, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k1_complfld)) &  (v1_hermitan(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k1_complfld)) &  (v1_hermitan(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) ) ) ) )  =>  (v1_funct_1(k3_hahnban1(k1_complfld, A, B, C)) &  (v1_funct_2(k3_hahnban1(k1_complfld, A, B, C), u1_struct_0(A), u1_struct_0(k1_complfld)) & v1_hermitan(k3_hahnban1(k1_complfld, A, B, C), A)) ) ) ) ).
fof(fc3_hermitan, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k1_complfld)) &  (v1_hermitan(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) ) ) )  =>  (v1_funct_1(k4_hahnban1(k1_complfld, A, B)) &  (v1_funct_2(k4_hahnban1(k1_complfld, A, B), u1_struct_0(A), u1_struct_0(k1_complfld)) & v1_hermitan(k4_hahnban1(k1_complfld, A, B), A)) ) ) ) ).
fof(fc4_hermitan, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  &  (m1_subset_1(B, u1_struct_0(k1_complfld)) &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k1_complfld)) &  (v1_hermitan(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) ) ) ) )  =>  (v1_funct_1(k6_hahnban1(k1_complfld, A, B, C)) &  (v1_funct_2(k6_hahnban1(k1_complfld, A, B, C), u1_struct_0(A), u1_struct_0(k1_complfld)) & v1_hermitan(k6_hahnban1(k1_complfld, A, B, C), A)) ) ) ) ).
fof(fc5_hermitan, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k1_complfld)) &  (v1_hermitan(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k1_complfld)) &  (v1_hermitan(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) ) ) ) )  =>  (v1_funct_1(k5_hahnban1(k1_complfld, A, B, C)) &  (v1_funct_2(k5_hahnban1(k1_complfld, A, B, C), u1_struct_0(A), u1_struct_0(k1_complfld)) & v1_hermitan(k5_hahnban1(k1_complfld, A, B, C), A)) ) ) ) ).
fof(fc6_hermitan, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k1_complfld)) &  (v13_vectsp_1(B, A, k1_complfld) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) ) ) )  =>  (v1_funct_1(k1_comseq_2(B)) &  (v1_funct_2(k1_comseq_2(B), u1_struct_0(A), u1_struct_0(k1_complfld)) & v13_vectsp_1(k1_comseq_2(B), A, k1_complfld)) ) ) ) ).
fof(fc7_hermitan, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k1_complfld)) &  (v1_hahnban1(B, k1_complfld, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) ) ) )  =>  (v1_funct_1(k1_comseq_2(B)) &  (v1_funct_2(k1_comseq_2(B), u1_struct_0(A), u1_struct_0(k1_complfld)) & v1_hermitan(k1_comseq_2(B), A)) ) ) ) ).
fof(fc8_hermitan, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k1_complfld)) &  (v1_hermitan(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) ) ) )  =>  (v1_funct_1(k1_comseq_2(B)) &  (v1_funct_2(k1_comseq_2(B), u1_struct_0(A), u1_struct_0(k1_complfld)) & v1_hahnban1(k1_comseq_2(B), k1_complfld, A)) ) ) ) ).
fof(fc9_hermitan, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  ( ~ (v3_funct_1(B))  &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k1_complfld)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) ) ) )  =>  (v1_relat_1(k1_comseq_2(B)) &  (v1_funct_1(k1_comseq_2(B)) &  ( ~ (v3_funct_1(k1_comseq_2(B)))  & v1_valued_0(k1_comseq_2(B))) ) ) ) ) ).
fof(rc2_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld)))) &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v5_relat_1(B, u1_struct_0(k1_complfld)) &  ( ~ (v1_zfmisc_1(B))  &  (v1_funct_1(B) &  ( ~ (v3_funct_1(B))  &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k1_complfld)) &  (v13_vectsp_1(B, A, k1_complfld) &  (v1_valued_0(B) & v1_hermitan(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc10_hermitan, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  ( ~ (v3_funct_1(B))  &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k1_complfld)) &  (v13_vectsp_1(B, A, k1_complfld) &  (v1_hermitan(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) ) ) ) ) )  =>  (v1_funct_1(k2_hermitan(A, B)) &  ( ~ (v3_funct_1(k2_hermitan(A, B)))  &  (v1_funct_2(k2_hermitan(A, B), u1_struct_0(k6_vectsp10(k1_complfld, A, k9_vectsp10(k1_complfld, A, k1_hermitan(A, B)))), u1_struct_0(k1_complfld)) &  (v13_vectsp_1(k2_hermitan(A, B), k6_vectsp10(k1_complfld, A, k9_vectsp10(k1_complfld, A, k1_hermitan(A, B))), k1_complfld) & v1_hermitan(k2_hermitan(A, B), k6_vectsp10(k1_complfld, A, k9_vectsp10(k1_complfld, A, k1_hermitan(A, B))))) ) ) ) ) ) ).
fof(fc11_hermitan, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k1_complfld)) &  (v13_vectsp_1(B, A, k1_complfld) &  (v1_hermitan(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) ) ) ) )  =>  (v1_funct_1(k2_hermitan(A, B)) &  (v1_funct_2(k2_hermitan(A, B), u1_struct_0(k6_vectsp10(k1_complfld, A, k9_vectsp10(k1_complfld, A, k1_hermitan(A, B)))), u1_struct_0(k1_complfld)) &  (v13_vectsp_1(k2_hermitan(A, B), k6_vectsp10(k1_complfld, A, k9_vectsp10(k1_complfld, A, k1_hermitan(A, B))), k1_complfld) &  ( ~ (v2_vectsp10(k2_hermitan(A, B), k1_complfld, k6_vectsp10(k1_complfld, A, k9_vectsp10(k1_complfld, A, k1_hermitan(A, B)))))  & v1_hermitan(k2_hermitan(A, B), k6_vectsp10(k1_complfld, A, k9_vectsp10(k1_complfld, A, k1_hermitan(A, B))))) ) ) ) ) ) ).
fof(fc12_hermitan, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  &  ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, k1_complfld)) )  =>  (v1_funct_1(k1_bilinear(k1_complfld, A, B)) &  (v1_funct_2(k1_bilinear(k1_complfld, A, B), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) & v2_hermitan(k1_bilinear(k1_complfld, A, B), A, B)) ) ) ) ).
fof(fc13_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (v1_funct_1(k1_bilinear(k1_complfld, A, A)) &  (v1_funct_2(k1_bilinear(k1_complfld, A, A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) & v3_hermitan(k1_bilinear(k1_complfld, A, A), A)) ) ) ) ).
fof(fc14_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (v1_funct_1(k1_bilinear(k1_complfld, A, A)) &  (v1_funct_2(k1_bilinear(k1_complfld, A, A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) & v5_hermitan(k1_bilinear(k1_complfld, A, A), A)) ) ) ) ).
fof(cc2_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) & v3_hermitan(B, A)) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) & v4_hermitan(B, A)) ) ) ) ) ) ) ).
fof(rc3_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) &  (v5_relat_1(B, u1_struct_0(k1_complfld)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) &  (v1_bilinear(B, k1_complfld, A, A) &  (v2_bilinear(B, k1_complfld, A, A) &  (v4_bilinear(B, k1_complfld, A, A) &  (v1_valued_0(B) &  (v2_hermitan(B, A, A) &  (v3_hermitan(B, A) &  (v4_hermitan(B, A) & v5_hermitan(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc4_hermitan, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  &  ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, k1_complfld)) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)))) &  (v1_relat_1(C) &  (v4_relat_1(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))) &  (v5_relat_1(C, u1_struct_0(k1_complfld)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) &  (v1_bilinear(C, k1_complfld, A, B) &  (v2_bilinear(C, k1_complfld, A, B) &  (v4_bilinear(C, k1_complfld, A, B) &  (v1_valued_0(C) & v2_hermitan(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc3_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) &  (v1_bilinear(B, k1_complfld, A, A) & v3_hermitan(B, A)) ) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) & v2_bilinear(B, k1_complfld, A, A)) ) ) ) ) ) ) ).
fof(cc4_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) &  (v2_bilinear(B, k1_complfld, A, A) & v3_hermitan(B, A)) ) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) & v1_bilinear(B, k1_complfld, A, A)) ) ) ) ) ) ) ).
fof(cc5_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) &  (v4_bilinear(B, k1_complfld, A, A) & v3_hermitan(B, A)) ) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) & v2_hermitan(B, A, A)) ) ) ) ) ) ) ).
fof(cc6_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) &  (v2_hermitan(B, A, A) & v3_hermitan(B, A)) ) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) & v4_bilinear(B, k1_complfld, A, A)) ) ) ) ) ) ) ).
fof(fc15_hermitan, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, k1_complfld))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k1_complfld)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(k1_complfld)) &  (v1_hermitan(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(k1_complfld))))) ) ) ) ) )  =>  (v1_funct_1(k9_bilinear(k1_complfld, A, B, C, D)) &  (v1_funct_2(k9_bilinear(k1_complfld, A, B, C, D), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) & v2_hermitan(k9_bilinear(k1_complfld, A, B, C, D), A, B)) ) ) ) ).
fof(fc16_hermitan, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, k1_complfld))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) &  (v2_hermitan(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) ) )  & m1_subset_1(D, u1_struct_0(A))) ) )  =>  (v1_funct_1(k7_bilinear(k1_complfld, A, B, C, D)) &  (v1_funct_2(k7_bilinear(k1_complfld, A, B, C, D), u1_struct_0(B), u1_struct_0(k1_complfld)) & v1_hermitan(k7_bilinear(k1_complfld, A, B, C, D), B)) ) ) ) ).
fof(fc17_hermitan, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, k1_complfld))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) &  (v2_hermitan(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) &  (v2_hermitan(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) ) ) ) ) )  =>  (v1_funct_1(k2_bilinear(k1_complfld, A, B, C, D)) &  (v1_funct_2(k2_bilinear(k1_complfld, A, B, C, D), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) & v2_hermitan(k2_bilinear(k1_complfld, A, B, C, D), A, B)) ) ) ) ).
fof(fc18_hermitan, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, k1_complfld))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) &  (v2_hermitan(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) ) )  & m1_subset_1(D, u1_struct_0(k1_complfld))) ) )  =>  (v1_funct_1(k3_bilinear(k1_complfld, A, B, C, D)) &  (v1_funct_2(k3_bilinear(k1_complfld, A, B, C, D), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) & v2_hermitan(k3_bilinear(k1_complfld, A, B, C, D), A, B)) ) ) ) ).
fof(fc19_hermitan, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, k1_complfld))  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) &  (v2_hermitan(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) ) ) ) )  =>  (v1_funct_1(k4_bilinear(k1_complfld, A, B, C)) &  (v1_funct_2(k4_bilinear(k1_complfld, A, B, C), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) & v2_hermitan(k4_bilinear(k1_complfld, A, B, C), A, B)) ) ) ) ).
fof(fc20_hermitan, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, k1_complfld))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) &  (v2_hermitan(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) &  (v2_hermitan(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) ) ) ) ) )  =>  (v1_funct_1(k5_bilinear(k1_complfld, A, B, C, D)) &  (v1_funct_2(k5_bilinear(k1_complfld, A, B, C, D), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) & v2_hermitan(k5_bilinear(k1_complfld, A, B, C, D), A, B)) ) ) ) ).
fof(rc5_hermitan, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, k1_complfld) &  (v9_vectsp_1(B, k1_complfld) &  (v10_vectsp_1(B, k1_complfld) &  (v11_vectsp_1(B, k1_complfld) & l1_vectsp_1(B, k1_complfld)) ) ) ) ) ) ) ) ) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)))) &  (v1_relat_1(C) &  (v4_relat_1(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))) &  (v5_relat_1(C, u1_struct_0(k1_complfld)) &  ( ~ (v1_zfmisc_1(C))  &  (v1_funct_1(C) &  ( ~ (v3_funct_1(C))  &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) &  (v1_bilinear(C, k1_complfld, A, B) &  (v2_bilinear(C, k1_complfld, A, B) &  (v4_bilinear(C, k1_complfld, A, B) &  (v1_valued_0(C) & v2_hermitan(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc21_hermitan, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, k1_complfld))  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) &  (v1_bilinear(C, k1_complfld, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) ) ) ) )  =>  (v1_funct_1(k3_hermitan(A, B, C)) &  (v1_funct_2(k3_hermitan(A, B, C), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) & v1_bilinear(k3_hermitan(A, B, C), k1_complfld, A, B)) ) ) ) ).
fof(fc22_hermitan, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, k1_complfld))  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) &  (v2_bilinear(C, k1_complfld, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) ) ) ) )  =>  (v1_funct_1(k3_hermitan(A, B, C)) &  (v1_funct_2(k3_hermitan(A, B, C), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) & v2_bilinear(k3_hermitan(A, B, C), k1_complfld, A, B)) ) ) ) ).
fof(fc23_hermitan, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, k1_complfld))  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) &  (v3_bilinear(C, k1_complfld, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) ) ) ) )  =>  (v1_funct_1(k3_hermitan(A, B, C)) &  (v1_funct_2(k3_hermitan(A, B, C), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) & v2_hermitan(k3_hermitan(A, B, C), A, B)) ) ) ) ).
fof(fc24_hermitan, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, k1_complfld))  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) &  (v2_hermitan(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) ) ) ) )  =>  (v1_funct_1(k3_hermitan(A, B, C)) &  (v1_funct_2(k3_hermitan(A, B, C), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) & v3_bilinear(k3_hermitan(A, B, C), k1_complfld, A, B)) ) ) ) ).
fof(fc25_hermitan, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, k1_complfld) &  (v9_vectsp_1(B, k1_complfld) &  (v10_vectsp_1(B, k1_complfld) &  (v11_vectsp_1(B, k1_complfld) & l1_vectsp_1(B, k1_complfld)) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  ( ~ (v3_funct_1(C))  &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) ) ) ) )  =>  (v1_funct_1(k3_hermitan(A, B, C)) &  ( ~ (v3_funct_1(k3_hermitan(A, B, C)))  & v1_funct_2(k3_hermitan(A, B, C), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))) ) ) ) ).
fof(fc26_hermitan, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k1_complfld)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) ) )  =>  (v1_funct_1(k9_bilinear(k1_complfld, A, A, B, k1_hermitan(A, B))) &  (v1_funct_2(k9_bilinear(k1_complfld, A, A, B, k1_hermitan(A, B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) &  (v3_hermitan(k9_bilinear(k1_complfld, A, A, B, k1_hermitan(A, B)), A) &  (v4_hermitan(k9_bilinear(k1_complfld, A, A, B, k1_hermitan(A, B)), A) & v5_hermitan(k9_bilinear(k1_complfld, A, A, B, k1_hermitan(A, B)), A)) ) ) ) ) ) ).
fof(rc6_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) &  (v5_relat_1(B, u1_struct_0(k1_complfld)) &  ( ~ (v1_zfmisc_1(B))  &  (v1_funct_1(B) &  ( ~ (v3_funct_1(B))  &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) &  (v1_bilinear(B, k1_complfld, A, A) &  (v2_bilinear(B, k1_complfld, A, A) &  (v4_bilinear(B, k1_complfld, A, A) &  (v1_valued_0(B) &  (v2_hermitan(B, A, A) &  (v3_hermitan(B, A) &  (v4_hermitan(B, A) & v5_hermitan(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc27_hermitan, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) &  (v2_bilinear(B, k1_complfld, A, A) &  (v4_bilinear(B, k1_complfld, A, A) &  (v3_hermitan(B, A) &  (v5_hermitan(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld))))) ) ) ) ) ) )  =>  (v1_funct_1(k5_hermitan(A, B)) &  (v1_funct_2(k5_hermitan(A, B), u1_struct_0(A), k1_numbers) &  (v3_hahnban1(k5_hermitan(A, B), k1_complfld, A) & v6_hahnban1(k5_hermitan(A, B), A)) ) ) ) ) ).
fof(fc28_hermitan, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) &  (v2_hermitan(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld))))) ) ) )  =>  ~ (v1_xboole_0(k12_bilinear(k1_complfld, A, B))) ) ) ).
fof(fc29_hermitan, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, k1_complfld) &  (v9_vectsp_1(B, k1_complfld) &  (v10_vectsp_1(B, k1_complfld) &  (v11_vectsp_1(B, k1_complfld) & l1_vectsp_1(B, k1_complfld)) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) &  (v1_bilinear(C, k1_complfld, A, B) &  (v2_bilinear(C, k1_complfld, A, B) &  (v4_bilinear(C, k1_complfld, A, B) &  (v2_hermitan(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) ) ) ) ) ) ) )  =>  (v1_funct_1(k15_bilinear(k1_complfld, A, B, C)) &  (v1_funct_2(k15_bilinear(k1_complfld, A, B, C), k2_zfmisc_1(u1_struct_0(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C))), u1_struct_0(B)), u1_struct_0(k1_complfld)) &  (v1_bilinear(k15_bilinear(k1_complfld, A, B, C), k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), B) &  (v2_bilinear(k15_bilinear(k1_complfld, A, B, C), k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), B) &  (v4_bilinear(k15_bilinear(k1_complfld, A, B, C), k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), B) & v2_hermitan(k15_bilinear(k1_complfld, A, B, C), k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), B)) ) ) ) ) ) ) ).
fof(fc30_hermitan, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, k1_complfld) &  (v9_vectsp_1(B, k1_complfld) &  (v10_vectsp_1(B, k1_complfld) &  (v11_vectsp_1(B, k1_complfld) & l1_vectsp_1(B, k1_complfld)) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) &  (v1_bilinear(C, k1_complfld, A, B) &  (v2_bilinear(C, k1_complfld, A, B) &  (v4_bilinear(C, k1_complfld, A, B) &  (v2_hermitan(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) ) ) ) ) ) ) )  =>  (v1_funct_1(k6_hermitan(A, B, C)) &  (v1_funct_2(k6_hermitan(A, B, C), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))))), u1_struct_0(k1_complfld)) &  (v1_bilinear(k6_hermitan(A, B, C), k1_complfld, A, k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C)))) &  (v2_bilinear(k6_hermitan(A, B, C), k1_complfld, A, k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C)))) &  (v4_bilinear(k6_hermitan(A, B, C), k1_complfld, A, k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C)))) & v2_hermitan(k6_hermitan(A, B, C), A, k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))))) ) ) ) ) ) ) ).
fof(fc31_hermitan, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, k1_complfld) &  (v9_vectsp_1(B, k1_complfld) &  (v10_vectsp_1(B, k1_complfld) &  (v11_vectsp_1(B, k1_complfld) & l1_vectsp_1(B, k1_complfld)) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  ( ~ (v3_funct_1(C))  &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) &  (v1_bilinear(C, k1_complfld, A, B) &  (v2_bilinear(C, k1_complfld, A, B) &  (v4_bilinear(C, k1_complfld, A, B) &  (v2_hermitan(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k7_hermitan(A, B, C)) &  ( ~ (v3_funct_1(k7_hermitan(A, B, C)))  &  (v1_funct_2(k7_hermitan(A, B, C), k2_zfmisc_1(u1_struct_0(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C))), u1_struct_0(k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))))), u1_struct_0(k1_complfld)) &  (v1_bilinear(k7_hermitan(A, B, C), k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C)))) &  (v2_bilinear(k7_hermitan(A, B, C), k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C)))) &  (v4_bilinear(k7_hermitan(A, B, C), k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C)))) & v2_hermitan(k7_hermitan(A, B, C), k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))))) ) ) ) ) ) ) ) ).
fof(fc32_hermitan, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_rlvect_1(A) & l1_vectsp_1(A, k1_complfld)) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, k1_complfld) &  (v9_vectsp_1(B, k1_complfld) &  (v10_vectsp_1(B, k1_complfld) &  (v11_vectsp_1(B, k1_complfld) & l1_vectsp_1(B, k1_complfld)) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) &  (v1_bilinear(C, k1_complfld, A, B) &  (v2_hermitan(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) ) ) ) ) )  =>  (v1_funct_1(k6_hermitan(A, B, C)) &  (v1_funct_2(k6_hermitan(A, B, C), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))))), u1_struct_0(k1_complfld)) &  (v1_bilinear(k6_hermitan(A, B, C), k1_complfld, A, k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C)))) &  ( ~ (v6_bilinear(k6_hermitan(A, B, C), k1_complfld, A, k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C)))))  & v2_hermitan(k6_hermitan(A, B, C), A, k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))))) ) ) ) ) ) ).
fof(fc33_hermitan, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, k1_complfld) &  (v9_vectsp_1(B, k1_complfld) &  (v10_vectsp_1(B, k1_complfld) &  (v11_vectsp_1(B, k1_complfld) & l1_vectsp_1(B, k1_complfld)) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) &  (v1_bilinear(C, k1_complfld, A, B) &  (v2_bilinear(C, k1_complfld, A, B) &  (v4_bilinear(C, k1_complfld, A, B) &  (v2_hermitan(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) ) ) ) ) ) ) )  =>  (v1_funct_1(k6_hermitan(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), B, k15_bilinear(k1_complfld, A, B, C))) &  (v1_funct_2(k6_hermitan(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), B, k15_bilinear(k1_complfld, A, B, C)), k2_zfmisc_1(u1_struct_0(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C))), u1_struct_0(k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), B, k3_hermitan(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), B, k15_bilinear(k1_complfld, A, B, C)))))), u1_struct_0(k1_complfld)) &  (v1_bilinear(k6_hermitan(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), B, k15_bilinear(k1_complfld, A, B, C)), k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), B, k3_hermitan(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), B, k15_bilinear(k1_complfld, A, B, C))))) &  ( ~ (v5_bilinear(k6_hermitan(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), B, k15_bilinear(k1_complfld, A, B, C)), k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), B, k3_hermitan(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), B, k15_bilinear(k1_complfld, A, B, C))))))  &  ( ~ (v6_bilinear(k6_hermitan(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), B, k15_bilinear(k1_complfld, A, B, C)), k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), B, k3_hermitan(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), B, k15_bilinear(k1_complfld, A, B, C))))))  & v2_hermitan(k6_hermitan(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), B, k15_bilinear(k1_complfld, A, B, C)), k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), B, k3_hermitan(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), B, k15_bilinear(k1_complfld, A, B, C)))))) ) ) ) ) ) ) ).
fof(fc34_hermitan, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, k1_complfld) &  (v9_vectsp_1(B, k1_complfld) &  (v10_vectsp_1(B, k1_complfld) &  (v11_vectsp_1(B, k1_complfld) & l1_vectsp_1(B, k1_complfld)) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) &  (v1_bilinear(C, k1_complfld, A, B) &  (v2_bilinear(C, k1_complfld, A, B) &  (v4_bilinear(C, k1_complfld, A, B) &  (v2_hermitan(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) ) ) ) ) ) ) )  =>  (v1_funct_1(k15_bilinear(k1_complfld, A, k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))), k6_hermitan(A, B, C))) &  (v1_funct_2(k15_bilinear(k1_complfld, A, k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))), k6_hermitan(A, B, C)), k2_zfmisc_1(u1_struct_0(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))), k6_hermitan(A, B, C)))), u1_struct_0(k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))))), u1_struct_0(k1_complfld)) &  (v2_bilinear(k15_bilinear(k1_complfld, A, k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))), k6_hermitan(A, B, C)), k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))), k6_hermitan(A, B, C))), k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C)))) &  (v4_bilinear(k15_bilinear(k1_complfld, A, k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))), k6_hermitan(A, B, C)), k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))), k6_hermitan(A, B, C))), k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C)))) &  ( ~ (v5_bilinear(k15_bilinear(k1_complfld, A, k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))), k6_hermitan(A, B, C)), k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))), k6_hermitan(A, B, C))), k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C)))))  &  ~ (v6_bilinear(k15_bilinear(k1_complfld, A, k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))), k6_hermitan(A, B, C)), k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))), k6_hermitan(A, B, C))), k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))))) ) ) ) ) ) ) ) ).
fof(fc35_hermitan, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, k1_complfld) &  (v9_vectsp_1(B, k1_complfld) &  (v10_vectsp_1(B, k1_complfld) &  (v11_vectsp_1(B, k1_complfld) & l1_vectsp_1(B, k1_complfld)) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) &  (v1_bilinear(C, k1_complfld, A, B) &  (v2_bilinear(C, k1_complfld, A, B) &  (v4_bilinear(C, k1_complfld, A, B) &  (v2_hermitan(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) ) ) ) ) ) ) )  =>  (v1_funct_1(k7_hermitan(A, B, C)) &  (v1_funct_2(k7_hermitan(A, B, C), k2_zfmisc_1(u1_struct_0(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C))), u1_struct_0(k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))))), u1_struct_0(k1_complfld)) &  (v1_bilinear(k7_hermitan(A, B, C), k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C)))) &  (v2_bilinear(k7_hermitan(A, B, C), k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C)))) &  (v4_bilinear(k7_hermitan(A, B, C), k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C)))) &  ( ~ (v5_bilinear(k7_hermitan(A, B, C), k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C)))))  &  ( ~ (v6_bilinear(k7_hermitan(A, B, C), k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C)))))  & v2_hermitan(k7_hermitan(A, B, C), k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))))) ) ) ) ) ) ) ) ) ).
fof(cc7_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_rlvect_1(A) & l1_vectsp_1(A, k1_complfld)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) &  (v2_bilinear(B, k1_complfld, A, A) & v6_hermitan(B, A)) ) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) & v5_hermitan(B, A)) ) ) ) ) ) ) ).
fof(cc8_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_rlvect_1(A) & l1_vectsp_1(A, k1_complfld)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) &  (v1_bilinear(B, k1_complfld, A, A) & v6_hermitan(B, A)) ) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) & v5_hermitan(B, A)) ) ) ) ) ) ) ).
fof(fc36_hermitan, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) &  (v2_bilinear(B, k1_complfld, A, A) &  (v4_bilinear(B, k1_complfld, A, A) &  (v3_hermitan(B, A) &  (v5_hermitan(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld))))) ) ) ) ) ) )  =>  (v1_funct_1(k8_hermitan(A, B)) &  (v1_funct_2(k8_hermitan(A, B), k2_zfmisc_1(u1_struct_0(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B))), u1_struct_0(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B)))), u1_struct_0(k1_complfld)) &  (v2_bilinear(k8_hermitan(A, B), k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B)), k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B))) &  (v4_bilinear(k8_hermitan(A, B), k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B)), k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B))) &  ( ~ (v5_bilinear(k8_hermitan(A, B), k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B)), k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B))))  &  ( ~ (v6_bilinear(k8_hermitan(A, B), k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B)), k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B))))  &  (v3_hermitan(k8_hermitan(A, B), k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B))) &  (v5_hermitan(k8_hermitan(A, B), k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B))) & v6_hermitan(k8_hermitan(A, B), k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B)))) ) ) ) ) ) ) ) ) ) ).
fof(fc37_hermitan, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  ( ~ (v3_funct_1(B))  &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) &  (v2_bilinear(B, k1_complfld, A, A) &  (v4_bilinear(B, k1_complfld, A, A) &  (v3_hermitan(B, A) &  (v5_hermitan(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld))))) ) ) ) ) ) ) )  =>  (v1_funct_1(k8_hermitan(A, B)) &  ( ~ (v3_funct_1(k8_hermitan(A, B)))  &  (v1_funct_2(k8_hermitan(A, B), k2_zfmisc_1(u1_struct_0(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B))), u1_struct_0(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B)))), u1_struct_0(k1_complfld)) &  (v2_bilinear(k8_hermitan(A, B), k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B)), k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B))) &  (v4_bilinear(k8_hermitan(A, B), k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B)), k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B))) &  (v3_hermitan(k8_hermitan(A, B), k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B))) & v5_hermitan(k8_hermitan(A, B), k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B)))) ) ) ) ) ) ) ) ).
fof(t1_hermitan, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (A=k8_complex1(A) => k4_complex1(A)=k5_numbers) ) ) ).
fof(t2_hermitan, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  ( ~ (A=k5_complex1)  =>  (k9_complex1(k2_xcmplx_0(k7_xcmplx_0(k3_complex1(A), k9_complex1(A)), k3_xcmplx_0(k7_xcmplx_0(k1_real_1(k4_complex1(A)), k9_complex1(A)), k7_complex1)))=1 &  (k3_complex1(k3_xcmplx_0(k2_xcmplx_0(k7_xcmplx_0(k3_complex1(A), k9_complex1(A)), k3_xcmplx_0(k7_xcmplx_0(k1_real_1(k4_complex1(A)), k9_complex1(A)), k7_complex1)), A))=k9_complex1(A) & k4_complex1(k3_xcmplx_0(k2_xcmplx_0(k7_xcmplx_0(k3_complex1(A), k9_complex1(A)), k3_xcmplx_0(k7_xcmplx_0(k1_real_1(k4_complex1(A)), k9_complex1(A)), k7_complex1)), A))=k5_numbers) ) ) ) ) ).
fof(t3_hermitan, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (? [B] :  (v1_xcmplx_0(B) &  (k9_complex1(B)=1 &  (k3_complex1(k3_xcmplx_0(B, A))=k9_complex1(A) & k4_complex1(k3_xcmplx_0(B, A))=k5_numbers) ) ) ) ) ) ).
fof(t4_hermitan, axiom,  (! [A] :  (m1_subset_1(A, k2_numbers) => k3_xcmplx_0(A, k8_complex1(A))=k2_xcmplx_0(k1_square_1(k9_complex1(A)), k3_xcmplx_0(k5_numbers, k7_complex1))) ) ).
fof(t5_hermitan, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (A=k2_complfld(A) => k4_complex1(A)=k5_numbers) ) ) ).
fof(t6_hermitan, axiom, k8_group_1(k1_complfld, k2_hahnban1, k2_complfld(k2_hahnban1))=k1_group_1(k1_complfld)).
fof(t7_hermitan, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  ( ~ (A=k4_struct_0(k1_complfld))  =>  (k9_complex1(k1_hahnban1(k7_xcmplx_0(k3_complex1(A), k9_complex1(A)), k7_xcmplx_0(k1_real_1(k4_complex1(A)), k9_complex1(A))))=1 &  (k3_complex1(k8_group_1(k1_complfld, k1_hahnban1(k7_xcmplx_0(k3_complex1(A), k9_complex1(A)), k7_xcmplx_0(k1_real_1(k4_complex1(A)), k9_complex1(A))), A))=k9_complex1(A) & k4_complex1(k8_group_1(k1_complfld, k1_hahnban1(k7_xcmplx_0(k3_complex1(A), k9_complex1(A)), k7_xcmplx_0(k1_real_1(k4_complex1(A)), k9_complex1(A))), A))=k5_numbers) ) ) ) ) ).
fof(t8_hermitan, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (? [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) &  (k9_complex1(B)=1 &  (k3_complex1(k8_group_1(k1_complfld, B, A))=k9_complex1(A) & k4_complex1(k8_group_1(k1_complfld, B, A))=k5_numbers) ) ) ) ) ) ).
fof(t9_hermitan, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  (k3_complex1(k5_algstr_0(k1_complfld, A, B))=k5_real_1(k3_complex1(A), k3_complex1(B)) & k4_complex1(k5_algstr_0(k1_complfld, A, B))=k5_real_1(k4_complex1(A), k4_complex1(B))) ) ) ) ) ).
fof(t10_hermitan, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  (k4_complex1(A)=k5_numbers =>  (k3_complex1(k8_group_1(k1_complfld, A, B))=k4_real_1(k3_complex1(A), k3_complex1(B)) & k4_complex1(k8_group_1(k1_complfld, A, B))=k4_real_1(k3_complex1(A), k4_complex1(B))) ) ) ) ) ) ).
fof(t11_hermitan, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  ( (k4_complex1(A)=k5_numbers & k4_complex1(B)=k5_numbers)  => k4_complex1(k8_group_1(k1_complfld, A, B))=k5_numbers) ) ) ) ) ).
fof(t12_hermitan, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (k4_complex1(A)=k5_numbers => A=k2_complfld(A)) ) ) ).
fof(t13_hermitan, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) => k8_group_1(k1_complfld, A, k2_complfld(A))=k1_square_1(k9_complex1(A))) ) ).
fof(t14_hermitan, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  ( (r1_xxreal_0(k5_numbers, k3_complex1(A)) & k4_complex1(A)=k5_numbers)  => k9_complex1(A)=k3_complex1(A)) ) ) ).
fof(t15_hermitan, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) => k3_real_1(k3_complex1(A), k3_complex1(k2_complfld(A)))=k3_xcmplx_0(2, k3_complex1(A))) ) ).
fof(d1_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k1_complfld)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) )  =>  (v1_hermitan(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_complfld)) => k3_funct_2(u1_struct_0(A), u1_struct_0(k1_complfld), B, k3_vectsp_1(k1_complfld, A, D, C))=k8_group_1(k1_complfld, k2_complfld(D), k3_funct_2(u1_struct_0(A), u1_struct_0(k1_complfld), B, C))) ) ) ) ) ) ) ) ) ).
fof(d2_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k1_complfld)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k1_complfld)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) )  =>  (C=k1_hermitan(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(k1_complfld), C, D)=k2_complfld(k3_funct_2(u1_struct_0(A), u1_struct_0(k1_complfld), B, D))) ) ) ) ) ) ) ) ) ).
fof(t16_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k1_complfld)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) )  => r2_funct_2(u1_struct_0(A), u1_struct_0(k1_complfld), k1_hermitan(A, k1_hermitan(A, B)), B)) ) ) ) ).
fof(t17_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  => r2_funct_2(u1_struct_0(A), u1_struct_0(k1_complfld), k1_hermitan(A, k7_hahnban1(k1_complfld, A)), k7_hahnban1(k1_complfld, A))) ) ).
fof(t18_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k1_complfld)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k1_complfld)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) )  => r2_funct_2(u1_struct_0(A), u1_struct_0(k1_complfld), k1_hermitan(A, k3_hahnban1(k1_complfld, A, B, C)), k3_hahnban1(k1_complfld, A, k1_hermitan(A, B), k1_hermitan(A, C)))) ) ) ) ) ) ).
fof(t19_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k1_complfld)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) )  => r2_funct_2(u1_struct_0(A), u1_struct_0(k1_complfld), k1_hermitan(A, k4_hahnban1(k1_complfld, A, B)), k4_hahnban1(k1_complfld, A, k1_hermitan(A, B)))) ) ) ) ).
fof(t20_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k1_complfld)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_complfld)) => r2_funct_2(u1_struct_0(A), u1_struct_0(k1_complfld), k1_hermitan(A, k6_hahnban1(k1_complfld, A, C, B)), k6_hahnban1(k1_complfld, A, k2_complfld(C), k1_hermitan(A, B)))) ) ) ) ) ) ).
fof(t21_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k1_complfld)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k1_complfld)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) )  => r2_funct_2(u1_struct_0(A), u1_struct_0(k1_complfld), k1_hermitan(A, k5_hahnban1(k1_complfld, A, B, C)), k5_hahnban1(k1_complfld, A, k1_hermitan(A, B), k1_hermitan(A, C)))) ) ) ) ) ) ).
fof(t22_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k1_complfld)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k3_funct_2(u1_struct_0(A), u1_struct_0(k1_complfld), B, C)=k4_struct_0(k1_complfld) <=> k3_funct_2(u1_struct_0(A), u1_struct_0(k1_complfld), k1_hermitan(A, B), C)=k4_struct_0(k1_complfld)) ) ) ) ) ) ) ).
fof(t23_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k1_complfld)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) )  => k8_vectsp10(A, k1_complfld, B)=k8_vectsp10(A, k1_complfld, k1_hermitan(A, B))) ) ) ) ).
fof(t24_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k1_complfld)) &  (v13_vectsp_1(B, A, k1_complfld) &  (v1_hermitan(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) ) ) )  => v1_vectsp_4(k8_vectsp10(A, k1_complfld, B), k1_complfld, A)) ) ) ) ).
fof(t25_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_vectsp_4(B, k1_complfld, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k1_complfld)) &  (v13_vectsp_1(C, A, k1_complfld) &  (v1_hermitan(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) ) ) )  =>  (r1_tarski(u1_struct_0(B), k8_vectsp10(A, k1_complfld, k1_hermitan(A, C))) => v1_hermitan(k10_vectsp10(k1_complfld, A, B, C), k6_vectsp10(k1_complfld, A, B))) ) ) ) ) ) ) ).
fof(d3_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k1_complfld)) &  (v13_vectsp_1(B, A, k1_complfld) &  (v1_hermitan(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) ) ) )  => k2_hermitan(A, B)=k10_vectsp10(k1_complfld, A, k9_vectsp10(k1_complfld, A, k1_hermitan(A, B)), B)) ) ) ) ).
fof(t26_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k1_complfld)) &  (v13_vectsp_1(B, A, k1_complfld) &  (v1_hermitan(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k6_vectsp10(k1_complfld, A, k9_vectsp10(k1_complfld, A, k1_hermitan(A, B))))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (C=k3_vectsp_4(k1_complfld, A, D, k9_vectsp10(k1_complfld, A, k1_hermitan(A, B))) => k3_funct_2(u1_struct_0(k6_vectsp10(k1_complfld, A, k9_vectsp10(k1_complfld, A, k1_hermitan(A, B)))), u1_struct_0(k1_complfld), k2_hermitan(A, B), C)=k3_funct_2(u1_struct_0(A), u1_struct_0(k1_complfld), B, D)) ) ) ) ) ) ) ) ) ).
fof(d4_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, k1_complfld))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) )  =>  (v2_hermitan(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => v1_hermitan(k7_bilinear(k1_complfld, A, B, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t27_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, k1_complfld))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k1_complfld)) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) )  =>  (v2_hermitan(F, A, B) => k2_binop_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(k1_complfld), F, C, k3_vectsp_1(k1_complfld, B, E, D))=k8_group_1(k1_complfld, k2_complfld(E), k2_binop_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(k1_complfld), F, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld))))) )  =>  (v3_hermitan(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), B, C, D)=k2_complfld(k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), B, D, C))) ) ) ) ) ) ) ) ) ).
fof(d6_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld))))) )  =>  (v4_hermitan(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_complex1(k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), B, C, C))=k5_numbers) ) ) ) ) ) ) ).
fof(d7_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld))))) )  =>  (v5_hermitan(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_xxreal_0(k5_numbers, k3_complex1(k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), B, C, C)))) ) ) ) ) ) ) ).
fof(d8_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, k1_complfld))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) )  =>  (D=k3_hermitan(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) => k2_binop_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(k1_complfld), D, E, F)=k2_complfld(k2_binop_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(k1_complfld), C, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k1_complfld)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), k9_bilinear(k1_complfld, A, A, B, k1_hermitan(A, B)), C, C)=k1_square_1(k9_complex1(k3_funct_2(u1_struct_0(A), u1_struct_0(k1_complfld), B, C)))) ) ) ) ) ) ).
fof(t29_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, k1_complfld))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) )  => r8_binop_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(k1_complfld), k3_hermitan(A, B, k3_hermitan(A, B, C)), C)) ) ) ) ) ) ).
fof(t30_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, k1_complfld))  => r8_binop_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(k1_complfld), k3_hermitan(A, B, k1_bilinear(k1_complfld, A, B)), k1_bilinear(k1_complfld, A, B))) ) ) ) ).
fof(t31_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, k1_complfld))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) )  => r8_binop_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(k1_complfld), k3_hermitan(A, B, k6_bilinear(k1_complfld, A, B, C, D)), k6_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C), k3_hermitan(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t32_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, k1_complfld))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) )  => r8_binop_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(k1_complfld), k3_hermitan(A, B, k4_bilinear(k1_complfld, A, B, C)), k4_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C)))) ) ) ) ) ) ).
fof(t33_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, k1_complfld))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_complfld)) => r8_binop_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(k1_complfld), k3_hermitan(A, B, k3_bilinear(k1_complfld, A, B, C, D)), k3_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C), k2_complfld(D)))) ) ) ) ) ) ) ) ).
fof(t34_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, k1_complfld))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) )  => r8_binop_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(k1_complfld), k3_hermitan(A, B, k5_bilinear(k1_complfld, A, B, C, D)), k5_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C), k3_hermitan(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t35_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, k1_complfld) &  (v9_vectsp_1(B, k1_complfld) &  (v10_vectsp_1(B, k1_complfld) &  (v11_vectsp_1(B, k1_complfld) & l1_vectsp_1(B, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) &  (v1_bilinear(F, k1_complfld, A, B) &  (v2_hermitan(F, A, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) ) ) )  => k2_binop_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(k1_complfld), F, C, k5_algstr_0(B, D, E))=k5_algstr_0(k1_complfld, k2_binop_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(k1_complfld), F, C, D), k2_binop_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(k1_complfld), F, C, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, k1_complfld) &  (v9_vectsp_1(B, k1_complfld) &  (v10_vectsp_1(B, k1_complfld) &  (v11_vectsp_1(B, k1_complfld) & l1_vectsp_1(B, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) &  (v1_bilinear(G, k1_complfld, A, B) &  (v2_bilinear(G, k1_complfld, A, B) &  (v4_bilinear(G, k1_complfld, A, B) &  (v2_hermitan(G, A, B) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) ) ) ) ) )  => k2_binop_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(k1_complfld), G, k5_algstr_0(A, C, D), k5_algstr_0(B, E, F))=k5_algstr_0(k1_complfld, k5_algstr_0(k1_complfld, k2_binop_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(k1_complfld), G, C, E), k2_binop_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(k1_complfld), G, C, F)), k5_algstr_0(k1_complfld, k2_binop_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(k1_complfld), G, D, E), k2_binop_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(k1_complfld), G, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, k1_complfld) &  (v9_vectsp_1(B, k1_complfld) &  (v10_vectsp_1(B, k1_complfld) &  (v11_vectsp_1(B, k1_complfld) & l1_vectsp_1(B, k1_complfld)) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k1_complfld)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k1_complfld)) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) &  (v1_bilinear(I, k1_complfld, A, B) &  (v2_bilinear(I, k1_complfld, A, B) &  (v4_bilinear(I, k1_complfld, A, B) &  (v2_hermitan(I, A, B) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) ) ) ) ) )  => k2_binop_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(k1_complfld), I, k1_algstr_0(A, C, k3_vectsp_1(k1_complfld, A, G, D)), k1_algstr_0(B, E, k3_vectsp_1(k1_complfld, B, H, F)))=k3_rlvect_1(k1_complfld, k3_rlvect_1(k1_complfld, k2_binop_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(k1_complfld), I, C, E), k8_group_1(k1_complfld, k2_complfld(H), k2_binop_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(k1_complfld), I, C, F))), k3_rlvect_1(k1_complfld, k8_group_1(k1_complfld, G, k2_binop_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(k1_complfld), I, D, E)), k8_group_1(k1_complfld, G, k8_group_1(k1_complfld, k2_complfld(H), k2_binop_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(k1_complfld), I, D, F)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, k1_complfld) &  (v9_vectsp_1(B, k1_complfld) &  (v10_vectsp_1(B, k1_complfld) &  (v11_vectsp_1(B, k1_complfld) & l1_vectsp_1(B, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k1_complfld)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k1_complfld)) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) &  (v1_bilinear(I, k1_complfld, A, B) &  (v2_bilinear(I, k1_complfld, A, B) &  (v4_bilinear(I, k1_complfld, A, B) &  (v2_hermitan(I, A, B) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) ) ) ) ) )  => k2_binop_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(k1_complfld), I, k5_algstr_0(A, C, k3_vectsp_1(k1_complfld, A, G, D)), k5_algstr_0(B, E, k3_vectsp_1(k1_complfld, B, H, F)))=k5_algstr_0(k1_complfld, k5_algstr_0(k1_complfld, k2_binop_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(k1_complfld), I, C, E), k8_group_1(k1_complfld, k2_complfld(H), k2_binop_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(k1_complfld), I, C, F))), k5_algstr_0(k1_complfld, k8_group_1(k1_complfld, G, k2_binop_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(k1_complfld), I, D, E)), k8_group_1(k1_complfld, G, k8_group_1(k1_complfld, k2_complfld(H), k2_binop_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(k1_complfld), I, D, F)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) &  (v2_hermitan(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), B, C, k4_struct_0(A))=k4_struct_0(k1_complfld)) ) ) ) ) ) ).
fof(t40_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) &  (v2_bilinear(D, k1_complfld, A, A) &  (v4_bilinear(D, k1_complfld, A, A) &  (v3_hermitan(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld))))) ) ) ) )  => k3_rlvect_1(k1_complfld, k3_rlvect_1(k1_complfld, k3_rlvect_1(k1_complfld, k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), D, B, C), k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), D, B, C)), k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), D, B, C)), k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), D, B, C))=k5_algstr_0(k1_complfld, k3_rlvect_1(k1_complfld, k5_algstr_0(k1_complfld, k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), D, k3_rlvect_1(A, B, C), k3_rlvect_1(A, B, C)), k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), D, k5_algstr_0(A, B, C), k5_algstr_0(A, B, C))), k8_group_1(k1_complfld, k2_hahnban1, k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), D, k3_rlvect_1(A, B, k3_vectsp_1(k1_complfld, A, k2_hahnban1, C)), k3_rlvect_1(A, B, k3_vectsp_1(k1_complfld, A, k2_hahnban1, C))))), k8_group_1(k1_complfld, k2_hahnban1, k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), D, k5_algstr_0(A, B, k3_vectsp_1(k1_complfld, A, k2_hahnban1, C)), k5_algstr_0(A, B, k3_vectsp_1(k1_complfld, A, k2_hahnban1, C)))))) ) ) ) ) ) ) ) ).
fof(d9_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_hermitan(A, B, C)=k3_complex1(k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), B, C, C))) ) ) ) ) ) ).
fof(t41_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) &  (v4_hermitan(B, A) &  (v5_hermitan(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld))))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k9_complex1(k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), B, C, C))=k3_complex1(k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), B, C, C)) & k4_hermitan(A, B, C)=k9_complex1(k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), B, C, C))) ) ) ) ) ) ) ).
fof(t42_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) &  (v1_bilinear(D, k1_complfld, A, A) &  (v2_bilinear(D, k1_complfld, A, A) &  (v4_bilinear(D, k1_complfld, A, A) &  (v2_hermitan(D, A, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld))))) ) ) ) ) )  =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k1_complfld)) =>  (k9_complex1(F)=1 => k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), D, k5_algstr_0(A, B, k3_vectsp_1(k1_complfld, A, k8_group_1(k1_complfld, k1_hahnban1(E, k5_numbers), F), C)), k5_algstr_0(A, B, k3_vectsp_1(k1_complfld, A, k8_group_1(k1_complfld, k1_hahnban1(E, k5_numbers), F), C)))=k3_rlvect_1(k1_complfld, k5_algstr_0(k1_complfld, k5_algstr_0(k1_complfld, k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), D, B, B), k8_group_1(k1_complfld, k1_hahnban1(E, k5_numbers), k8_group_1(k1_complfld, F, k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), D, C, B)))), k8_group_1(k1_complfld, k1_hahnban1(E, k5_numbers), k8_group_1(k1_complfld, k2_complfld(F), k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), D, B, C)))), k8_group_1(k1_complfld, k1_hahnban1(k1_square_1(E), k5_numbers), k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), D, C, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) &  (v2_bilinear(D, k1_complfld, A, A) &  (v4_bilinear(D, k1_complfld, A, A) &  (v3_hermitan(D, A) &  (v5_hermitan(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld))))) ) ) ) ) )  =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k1_complfld)) =>  ( (k9_complex1(F)=1 & k3_complex1(k8_group_1(k1_complfld, F, k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), D, C, B)))=k9_complex1(k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), D, C, B)))  =>  (k3_complex1(k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), D, k5_algstr_0(A, B, k3_vectsp_1(k1_complfld, A, k8_group_1(k1_complfld, k1_hahnban1(E, k5_numbers), F), C)), k5_algstr_0(A, B, k3_vectsp_1(k1_complfld, A, k8_group_1(k1_complfld, k1_hahnban1(E, k5_numbers), F), C))))=k2_xcmplx_0(k6_xcmplx_0(k4_hermitan(A, D, B), k3_xcmplx_0(k3_xcmplx_0(2, k9_complex1(k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), D, C, B))), E)), k3_xcmplx_0(k4_hermitan(A, D, C), k1_square_1(E))) & r1_xxreal_0(k5_numbers, k2_xcmplx_0(k6_xcmplx_0(k4_hermitan(A, D, B), k3_xcmplx_0(k3_xcmplx_0(2, k9_complex1(k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), D, C, B))), E)), k3_xcmplx_0(k4_hermitan(A, D, C), k1_square_1(E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) &  (v2_bilinear(D, k1_complfld, A, A) &  (v4_bilinear(D, k1_complfld, A, A) &  (v3_hermitan(D, A) &  (v5_hermitan(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld))))) ) ) ) ) )  =>  (k4_hermitan(A, D, C)=k5_numbers => k9_complex1(k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), D, C, B))=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(t45_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) &  (v2_bilinear(D, k1_complfld, A, A) &  (v4_bilinear(D, k1_complfld, A, A) &  (v3_hermitan(D, A) &  (v5_hermitan(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld))))) ) ) ) ) )  => r1_xxreal_0(k1_square_1(k9_complex1(k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), D, B, C))), k3_xcmplx_0(k4_hermitan(A, D, B), k4_hermitan(A, D, C)))) ) ) ) ) ) ) ) ).
fof(t46_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) &  (v2_bilinear(B, k1_complfld, A, A) &  (v4_bilinear(B, k1_complfld, A, A) &  (v3_hermitan(B, A) &  (v5_hermitan(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld))))) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_xxreal_0(k1_square_1(k9_complex1(k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), B, C, D))), k3_xcmplx_0(k9_complex1(k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), B, C, C)), k9_complex1(k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), B, D, D))))) ) ) ) ) ) ) ) ).
fof(t47_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) &  (v2_bilinear(B, k1_complfld, A, A) &  (v4_bilinear(B, k1_complfld, A, A) &  (v3_hermitan(B, A) &  (v5_hermitan(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld))))) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_xxreal_0(k4_hermitan(A, B, k3_rlvect_1(A, C, D)), k1_square_1(k2_xcmplx_0(k3_square_1(k4_hermitan(A, B, C)), k3_square_1(k4_hermitan(A, B, D)))))) ) ) ) ) ) ) ) ).
fof(t48_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) &  (v2_bilinear(B, k1_complfld, A, A) &  (v4_bilinear(B, k1_complfld, A, A) &  (v3_hermitan(B, A) &  (v5_hermitan(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld))))) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_xxreal_0(k9_complex1(k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), B, k3_rlvect_1(A, C, D), k3_rlvect_1(A, C, D))), k1_square_1(k2_xcmplx_0(k3_square_1(k9_complex1(k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), B, C, C))), k3_square_1(k9_complex1(k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), B, D, D))))))) ) ) ) ) ) ) ) ).
fof(t49_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) &  (v2_bilinear(B, k1_complfld, A, A) &  (v4_bilinear(B, k1_complfld, A, A) &  (v3_hermitan(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld))))) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_xcmplx_0(k4_hermitan(A, B, k3_rlvect_1(A, C, D)), k4_hermitan(A, B, k5_algstr_0(A, C, D)))=k2_xcmplx_0(k3_xcmplx_0(2, k4_hermitan(A, B, C)), k3_xcmplx_0(2, k4_hermitan(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t50_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) &  (v2_bilinear(B, k1_complfld, A, A) &  (v4_bilinear(B, k1_complfld, A, A) &  (v3_hermitan(B, A) &  (v5_hermitan(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld))))) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_xcmplx_0(k9_complex1(k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), B, k3_rlvect_1(A, C, D), k3_rlvect_1(A, C, D))), k9_complex1(k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), B, k5_algstr_0(A, C, D), k5_algstr_0(A, C, D))))=k2_xcmplx_0(k3_xcmplx_0(2, k9_complex1(k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), B, C, C))), k3_xcmplx_0(2, k9_complex1(k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), B, D, D))))) ) ) ) ) ) ) ) ).
fof(d10_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (C=k5_hermitan(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k1_numbers, C, D)=k3_square_1(k4_hermitan(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t51_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) &  (v2_bilinear(B, k1_complfld, A, A) &  (v4_bilinear(B, k1_complfld, A, A) &  (v3_hermitan(B, A) &  (v5_hermitan(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld))))) ) ) ) ) )  => v1_vectsp_4(k12_bilinear(k1_complfld, A, B), k1_complfld, A)) ) ) ) ).
fof(t52_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) &  (v2_bilinear(B, k1_complfld, A, A) &  (v4_bilinear(B, k1_complfld, A, A) &  (v3_hermitan(B, A) &  (v5_hermitan(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld))))) ) ) ) ) )  => k12_bilinear(k1_complfld, A, B)=k10_bilinear(k1_complfld, A, A, B)) ) ) ) ).
fof(t53_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) &  (v2_bilinear(B, k1_complfld, A, A) &  (v4_bilinear(B, k1_complfld, A, A) &  (v3_hermitan(B, A) &  (v5_hermitan(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld))))) ) ) ) ) )  => k12_bilinear(k1_complfld, A, B)=k11_bilinear(k1_complfld, A, A, B)) ) ) ) ).
fof(t54_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld))))) )  => k12_bilinear(k1_complfld, A, B)=k12_bilinear(k1_complfld, A, k3_hermitan(A, A, B))) ) ) ) ).
fof(t55_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, k1_complfld))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) )  =>  (k10_bilinear(k1_complfld, A, B, C)=k10_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C)) & k11_bilinear(k1_complfld, A, B, C)=k11_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))) ) ) ) ) ) ) ).
fof(t56_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) &  (v2_bilinear(B, k1_complfld, A, A) &  (v4_bilinear(B, k1_complfld, A, A) &  (v3_hermitan(B, A) &  (v5_hermitan(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld))))) ) ) ) ) )  => k13_bilinear(k1_complfld, A, A, B)=k14_bilinear(k1_complfld, A, A, k3_hermitan(A, A, B))) ) ) ) ).
fof(t57_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) &  (v4_hermitan(B, A) &  (v5_hermitan(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld))))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k3_complex1(k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), B, C, C))=k5_numbers => k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), B, C, C)=k4_struct_0(k1_complfld)) ) ) ) ) ) ) ).
fof(t58_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) &  (v2_bilinear(B, k1_complfld, A, A) &  (v4_bilinear(B, k1_complfld, A, A) &  (v3_hermitan(B, A) &  (v5_hermitan(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld))))) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k3_complex1(k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), B, C, C))=k5_numbers =>  ( (v5_bilinear(B, k1_complfld, A, A) & v6_bilinear(B, k1_complfld, A, A))  | C=k4_struct_0(A)) ) ) ) ) ) ) ) ).
fof(d11_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, k1_complfld) &  (v9_vectsp_1(B, k1_complfld) &  (v10_vectsp_1(B, k1_complfld) &  (v11_vectsp_1(B, k1_complfld) & l1_vectsp_1(B, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) &  (v1_bilinear(C, k1_complfld, A, B) &  (v2_hermitan(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) ) ) )  => k6_hermitan(A, B, C)=k3_hermitan(A, k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))), k16_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C)))) ) ) ) ) ) ).
fof(t59_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, k1_complfld) &  (v9_vectsp_1(B, k1_complfld) &  (v10_vectsp_1(B, k1_complfld) &  (v11_vectsp_1(B, k1_complfld) & l1_vectsp_1(B, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) &  (v1_bilinear(C, k1_complfld, A, B) &  (v2_hermitan(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => k1_binop_1(k6_hermitan(A, B, C), D, k3_vectsp_4(k1_complfld, B, E, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))))=k2_binop_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(k1_complfld), C, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(d12_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, k1_complfld) &  (v9_vectsp_1(B, k1_complfld) &  (v10_vectsp_1(B, k1_complfld) &  (v11_vectsp_1(B, k1_complfld) & l1_vectsp_1(B, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) &  (v1_bilinear(C, k1_complfld, A, B) &  (v2_bilinear(C, k1_complfld, A, B) &  (v4_bilinear(C, k1_complfld, A, B) &  (v2_hermitan(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C))), u1_struct_0(k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))))), u1_struct_0(k1_complfld)) &  (v1_bilinear(D, k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C)))) &  (v2_bilinear(D, k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C)))) &  (v4_bilinear(D, k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C)))) &  (v2_hermitan(D, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C)))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C))), u1_struct_0(k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))))), u1_struct_0(k1_complfld))))) ) ) ) ) )  =>  (D=k7_hermitan(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  ( (E=k3_vectsp_4(k1_complfld, A, G, k13_bilinear(k1_complfld, A, B, C)) & F=k3_vectsp_4(k1_complfld, B, H, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))))  => k2_binop_1(u1_struct_0(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C))), u1_struct_0(k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C)))), u1_struct_0(k1_complfld), D, E, F)=k2_binop_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(k1_complfld), C, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, k1_complfld) &  (v9_vectsp_1(B, k1_complfld) &  (v10_vectsp_1(B, k1_complfld) &  (v11_vectsp_1(B, k1_complfld) & l1_vectsp_1(B, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) &  (v1_bilinear(C, k1_complfld, A, B) &  (v2_hermitan(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) ) ) )  => k10_bilinear(k1_complfld, A, B, C)=k10_bilinear(k1_complfld, A, k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))), k6_hermitan(A, B, C))) ) ) ) ) ) ).
fof(t61_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, k1_complfld) &  (v9_vectsp_1(B, k1_complfld) &  (v10_vectsp_1(B, k1_complfld) &  (v11_vectsp_1(B, k1_complfld) & l1_vectsp_1(B, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) &  (v1_bilinear(C, k1_complfld, A, B) &  (v2_bilinear(C, k1_complfld, A, B) &  (v4_bilinear(C, k1_complfld, A, B) &  (v2_hermitan(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) ) ) ) ) )  => k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))=k14_bilinear(k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), B, k3_hermitan(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), B, k15_bilinear(k1_complfld, A, B, C)))) ) ) ) ) ) ).
fof(t62_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, k1_complfld) &  (v9_vectsp_1(B, k1_complfld) &  (v10_vectsp_1(B, k1_complfld) &  (v11_vectsp_1(B, k1_complfld) & l1_vectsp_1(B, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) &  (v1_bilinear(C, k1_complfld, A, B) &  (v2_bilinear(C, k1_complfld, A, B) &  (v4_bilinear(C, k1_complfld, A, B) &  (v2_hermitan(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) ) ) ) ) )  => k13_bilinear(k1_complfld, A, B, C)=k13_bilinear(k1_complfld, A, k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))), k6_hermitan(A, B, C))) ) ) ) ) ) ).
fof(t63_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, k1_complfld) &  (v9_vectsp_1(B, k1_complfld) &  (v10_vectsp_1(B, k1_complfld) &  (v11_vectsp_1(B, k1_complfld) & l1_vectsp_1(B, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) &  (v1_bilinear(C, k1_complfld, A, B) &  (v2_bilinear(C, k1_complfld, A, B) &  (v4_bilinear(C, k1_complfld, A, B) &  (v2_hermitan(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) ) ) ) ) )  =>  (r1_funct_2(k2_zfmisc_1(u1_struct_0(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C))), u1_struct_0(k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))))), u1_struct_0(k1_complfld), k2_zfmisc_1(u1_struct_0(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C))), u1_struct_0(k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), B, k3_hermitan(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), B, k15_bilinear(k1_complfld, A, B, C)))))), u1_struct_0(k1_complfld), k7_hermitan(A, B, C), k6_hermitan(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), B, k15_bilinear(k1_complfld, A, B, C))) & r1_funct_2(k2_zfmisc_1(u1_struct_0(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C))), u1_struct_0(k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))))), u1_struct_0(k1_complfld), k2_zfmisc_1(u1_struct_0(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))), k6_hermitan(A, B, C)))), u1_struct_0(k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))))), u1_struct_0(k1_complfld), k7_hermitan(A, B, C), k15_bilinear(k1_complfld, A, k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))), k6_hermitan(A, B, C)))) ) ) ) ) ) ) ).
fof(t64_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, k1_complfld) &  (v9_vectsp_1(B, k1_complfld) &  (v10_vectsp_1(B, k1_complfld) &  (v11_vectsp_1(B, k1_complfld) & l1_vectsp_1(B, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) &  (v1_bilinear(C, k1_complfld, A, B) &  (v2_bilinear(C, k1_complfld, A, B) &  (v4_bilinear(C, k1_complfld, A, B) &  (v2_hermitan(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) ) ) ) ) )  =>  (k10_bilinear(k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))), k7_hermitan(A, B, C))=k10_bilinear(k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), B, k3_hermitan(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), B, k15_bilinear(k1_complfld, A, B, C)))), k6_hermitan(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), B, k15_bilinear(k1_complfld, A, B, C))) &  (k11_bilinear(k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))), k7_hermitan(A, B, C))=k11_bilinear(k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), B, k3_hermitan(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), B, k15_bilinear(k1_complfld, A, B, C)))), k6_hermitan(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), B, k15_bilinear(k1_complfld, A, B, C))) &  (k10_bilinear(k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))), k7_hermitan(A, B, C))=k10_bilinear(k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))), k6_hermitan(A, B, C))), k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))), k15_bilinear(k1_complfld, A, k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))), k6_hermitan(A, B, C))) & k11_bilinear(k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))), k7_hermitan(A, B, C))=k11_bilinear(k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))), k6_hermitan(A, B, C))), k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))), k15_bilinear(k1_complfld, A, k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))), k6_hermitan(A, B, C)))) ) ) ) ) ) ) ) ) ).
fof(d13_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld))))) )  =>  (v6_hermitan(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (C=k4_struct_0(A))  & r1_xxreal_0(k3_complex1(k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), B, C, C)), k5_numbers)) ) ) ) ) ) ) ) ) ).
fof(d14_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) &  (v2_bilinear(B, k1_complfld, A, A) &  (v4_bilinear(B, k1_complfld, A, A) &  (v3_hermitan(B, A) &  (v5_hermitan(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld))))) ) ) ) ) )  => k8_hermitan(A, B)=k7_hermitan(A, A, B)) ) ) ) ).
fof(t65_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) &  (v2_bilinear(B, k1_complfld, A, A) &  (v4_bilinear(B, k1_complfld, A, A) &  (v3_hermitan(B, A) &  (v5_hermitan(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld))))) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B)))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (C=k3_vectsp_4(k1_complfld, A, E, k13_bilinear(k1_complfld, A, A, B)) & D=k3_vectsp_4(k1_complfld, A, F, k13_bilinear(k1_complfld, A, A, B)))  => k2_binop_1(u1_struct_0(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B))), u1_struct_0(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B))), u1_struct_0(k1_complfld), k8_hermitan(A, B), C, D)=k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k1_complfld), B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) &  (v2_bilinear(B, k1_complfld, A, A) &  (v4_bilinear(B, k1_complfld, A, A) &  (v3_hermitan(B, A) &  (v5_hermitan(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld))))) ) ) ) ) )  => k10_bilinear(k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B)), k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B)), k8_hermitan(A, B))=k10_bilinear(k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B)), k6_vectsp10(k1_complfld, A, k14_bilinear(k1_complfld, A, A, k3_hermitan(A, A, B))), k7_hermitan(A, A, B))) ) ) ) ).
fof(t67_hermitan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) &  (v2_bilinear(B, k1_complfld, A, A) &  (v4_bilinear(B, k1_complfld, A, A) &  (v3_hermitan(B, A) &  (v5_hermitan(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld))))) ) ) ) ) )  => k11_bilinear(k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B)), k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B)), k8_hermitan(A, B))=k11_bilinear(k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B)), k6_vectsp10(k1_complfld, A, k14_bilinear(k1_complfld, A, A, k3_hermitan(A, A, B))), k7_hermitan(A, A, B))) ) ) ) ).
fof(dt_k1_hermitan, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k1_complfld)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) ) )  =>  (v1_funct_1(k1_hermitan(A, B)) &  (v1_funct_2(k1_hermitan(A, B), u1_struct_0(A), u1_struct_0(k1_complfld)) & m1_subset_1(k1_hermitan(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) ) ) ) ).
fof(involutiveness_k1_hermitan, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k1_complfld)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) ) )  => k1_hermitan(A, k1_hermitan(A, B))=B) ) ).
fof(redefinition_k1_hermitan, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k1_complfld)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) ) )  => k1_hermitan(A, B)=k1_comseq_2(B)) ) ).
fof(dt_k2_hermitan, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k1_complfld)) &  (v13_vectsp_1(B, A, k1_complfld) &  (v1_hermitan(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_complfld))))) ) ) ) )  =>  (v1_funct_1(k2_hermitan(A, B)) &  (v1_funct_2(k2_hermitan(A, B), u1_struct_0(k6_vectsp10(k1_complfld, A, k9_vectsp10(k1_complfld, A, k1_hermitan(A, B)))), u1_struct_0(k1_complfld)) &  (v13_vectsp_1(k2_hermitan(A, B), k6_vectsp10(k1_complfld, A, k9_vectsp10(k1_complfld, A, k1_hermitan(A, B))), k1_complfld) &  (v1_hermitan(k2_hermitan(A, B), k6_vectsp10(k1_complfld, A, k9_vectsp10(k1_complfld, A, k1_hermitan(A, B)))) & m1_subset_1(k2_hermitan(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_vectsp10(k1_complfld, A, k9_vectsp10(k1_complfld, A, k1_hermitan(A, B)))), u1_struct_0(k1_complfld))))) ) ) ) ) ) ).
fof(dt_k3_hermitan, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, k1_complfld))  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) ) ) )  =>  (v1_funct_1(k3_hermitan(A, B, C)) &  (v1_funct_2(k3_hermitan(A, B, C), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) & m1_subset_1(k3_hermitan(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) ) ) ) ).
fof(dt_k4_hermitan, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld))))) )  & m1_subset_1(C, u1_struct_0(A))) )  => v1_xreal_0(k4_hermitan(A, B, C))) ) ).
fof(dt_k5_hermitan, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld))))) ) )  =>  (v1_funct_1(k5_hermitan(A, B)) &  (v1_funct_2(k5_hermitan(A, B), u1_struct_0(A), k1_numbers) & m1_subset_1(k5_hermitan(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) ).
fof(dt_k6_hermitan, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_vectsp_1(A, k1_complfld))  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, k1_complfld) &  (v9_vectsp_1(B, k1_complfld) &  (v10_vectsp_1(B, k1_complfld) &  (v11_vectsp_1(B, k1_complfld) & l1_vectsp_1(B, k1_complfld)) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) &  (v1_bilinear(C, k1_complfld, A, B) &  (v2_hermitan(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) ) ) ) ) )  =>  (v1_funct_1(k6_hermitan(A, B, C)) &  (v1_funct_2(k6_hermitan(A, B, C), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))))), u1_struct_0(k1_complfld)) &  (v1_bilinear(k6_hermitan(A, B, C), k1_complfld, A, k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C)))) &  (v2_hermitan(k6_hermitan(A, B, C), A, k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C)))) & m1_subset_1(k6_hermitan(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))))), u1_struct_0(k1_complfld))))) ) ) ) ) ) ).
fof(dt_k7_hermitan, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, k1_complfld) &  (v9_vectsp_1(B, k1_complfld) &  (v10_vectsp_1(B, k1_complfld) &  (v11_vectsp_1(B, k1_complfld) & l1_vectsp_1(B, k1_complfld)) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld)) &  (v1_bilinear(C, k1_complfld, A, B) &  (v2_bilinear(C, k1_complfld, A, B) &  (v4_bilinear(C, k1_complfld, A, B) &  (v2_hermitan(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k1_complfld))))) ) ) ) ) ) ) )  =>  (v1_funct_1(k7_hermitan(A, B, C)) &  (v1_funct_2(k7_hermitan(A, B, C), k2_zfmisc_1(u1_struct_0(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C))), u1_struct_0(k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))))), u1_struct_0(k1_complfld)) &  (v1_bilinear(k7_hermitan(A, B, C), k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C)))) &  (v2_bilinear(k7_hermitan(A, B, C), k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C)))) &  (v4_bilinear(k7_hermitan(A, B, C), k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C)))) &  (v2_hermitan(k7_hermitan(A, B, C), k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C)), k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C)))) & m1_subset_1(k7_hermitan(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, B, C))), u1_struct_0(k6_vectsp10(k1_complfld, B, k14_bilinear(k1_complfld, A, B, k3_hermitan(A, B, C))))), u1_struct_0(k1_complfld))))) ) ) ) ) ) ) ) ).
fof(dt_k8_hermitan, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k1_complfld) &  (v9_vectsp_1(A, k1_complfld) &  (v10_vectsp_1(A, k1_complfld) &  (v11_vectsp_1(A, k1_complfld) & l1_vectsp_1(A, k1_complfld)) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld)) &  (v2_bilinear(B, k1_complfld, A, A) &  (v4_bilinear(B, k1_complfld, A, A) &  (v3_hermitan(B, A) &  (v5_hermitan(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k1_complfld))))) ) ) ) ) ) )  =>  (v1_funct_1(k8_hermitan(A, B)) &  (v1_funct_2(k8_hermitan(A, B), k2_zfmisc_1(u1_struct_0(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B))), u1_struct_0(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B)))), u1_struct_0(k1_complfld)) &  (v2_bilinear(k8_hermitan(A, B), k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B)), k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B))) &  (v4_bilinear(k8_hermitan(A, B), k1_complfld, k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B)), k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B))) &  (v3_hermitan(k8_hermitan(A, B), k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B))) &  (v5_hermitan(k8_hermitan(A, B), k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B))) & m1_subset_1(k8_hermitan(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B))), u1_struct_0(k6_vectsp10(k1_complfld, A, k13_bilinear(k1_complfld, A, A, B)))), u1_struct_0(k1_complfld))))) ) ) ) ) ) ) ) ).
fof(cc1_hessenbe, axiom,  (! [A] :  (l1_collsp(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) & v6_anproj_2(A)) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) & v5_anproj_2(A)) ) ) ) ) ) ) ) ) ).
fof(t1_hessenbe, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) & l1_collsp(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_collsp(A, B, C, D) =>  (r1_collsp(A, C, D, B) &  (r1_collsp(A, D, B, C) &  (r1_collsp(A, C, B, D) &  (r1_collsp(A, B, D, C) & r1_collsp(A, D, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_hessenbe, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) & l1_collsp(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_collsp(A, B, C, D) & r1_collsp(A, B, C, E))  =>  (B=C | r1_collsp(A, B, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_hessenbe, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) & l1_collsp(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r1_collsp(A, B, C, D) &  (r1_collsp(A, B, C, F) & r1_collsp(A, D, F, E)) )  =>  (D=F | r1_collsp(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_hessenbe, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) & l1_collsp(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_collsp(A, B, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t5_hessenbe, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) & l1_collsp(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_collsp(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t6_hessenbe, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) & l1_collsp(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (r1_collsp(A, B, C, E))  &  (r1_collsp(A, B, C, D) &  ( ~ (B=D)  & r1_collsp(A, B, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_hessenbe, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) & l1_collsp(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_collsp(A, B, C, E) & r1_collsp(A, B, D, E))  =>  (r1_collsp(A, B, C, D) | B=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_hessenbe, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) & l1_collsp(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( ( ~ (r1_collsp(A, F, B, D))  &  (r1_collsp(A, F, D, E) &  ( ~ (D=E)  &  (r1_collsp(A, C, E, G) &  (r1_collsp(A, F, B, C) &  ( ~ (F=C)  & G=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_hessenbe, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) & l1_collsp(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r1_collsp(A, B, C, F) &  (r1_collsp(A, C, D, E) & r1_collsp(A, E, F, G)) )  =>  (r1_collsp(A, B, C, D) |  (F=B |  (F=C |  (E=C |  (E=D |  ( ~ (B=G)  &  ~ (D=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_hessenbe, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) & l1_collsp(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( ( ~ (r1_collsp(A, B, C, D))  &  (r1_collsp(A, B, C, E) &  (r1_collsp(A, D, F, E) &  ( ~ (F=D)  &  ( ~ (E=B)  & r1_collsp(A, F, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_hessenbe, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) & l1_collsp(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( ( ~ (r1_collsp(A, B, C, D))  &  (r1_collsp(A, B, C, E) &  (r1_collsp(A, D, E, F) &  ( ~ (E=F)  & r1_collsp(A, C, B, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_hessenbe, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) & l1_collsp(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( ( ~ (r1_collsp(A, B, C, E))  &  (r1_collsp(A, B, C, D) &  (r1_collsp(A, E, F, D) &  ( ~ (D=F)  &  ( ~ (C=D)  & r1_collsp(A, D, C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_hessenbe, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) & l1_collsp(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( ( ~ (r1_collsp(A, B, C, E))  &  (r1_collsp(A, B, C, D) &  (r1_collsp(A, E, F, B) &  ( ~ (B=D)  &  ( ~ (B=F)  & r1_collsp(A, D, B, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_hessenbe, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) & l1_collsp(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r1_collsp(A, D, E, F) &  (r1_collsp(A, D, E, G) &  (r1_collsp(A, B, C, F) & r1_collsp(A, B, C, G)) ) )  =>  (B=C |  (D=E |  (r1_collsp(A, B, C, D) | F=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_hessenbe, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) & l1_collsp(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( ( ~ (r1_collsp(A, F, B, C))  &  (r1_collsp(A, F, B, D) &  (r1_collsp(A, F, C, E) &  ( ~ (F=D)  &  ( ~ (F=E)  & r1_collsp(A, F, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_hessenbe, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) &  (v6_anproj_2(A) &  (v7_anproj_2(A) & l1_collsp(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  ( (r1_collsp(A, B, C, D) &  (r1_collsp(A, E, F, G) &  (r1_collsp(A, B, F, J) &  (r1_collsp(A, E, C, J) &  (r1_collsp(A, B, G, I) &  (r1_collsp(A, D, E, I) &  (r1_collsp(A, C, G, H) & r1_collsp(A, D, F, H)) ) ) ) ) ) )  =>  (C=D |  (B=D |  (F=G |  (E=F |  (E=G |  (r1_collsp(A, B, C, E) | r1_collsp(A, H, I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_hessenbe, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) &  (v6_anproj_2(A) &  (v7_anproj_2(A) & l1_collsp(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  ( (r1_collsp(A, B, C, J) &  (r1_collsp(A, E, F, J) &  (r1_collsp(A, C, D, H) &  (r1_collsp(A, F, G, H) &  (r1_collsp(A, B, D, I) &  (r1_collsp(A, E, G, I) &  (r1_collsp(A, K, B, E) &  (r1_collsp(A, K, C, F) & r1_collsp(A, K, D, G)) ) ) ) ) ) ) )  =>  (K=E |  (B=E |  (K=F |  (C=F |  (K=G |  (D=G |  (r1_collsp(A, K, B, C) |  (r1_collsp(A, K, B, D) |  (r1_collsp(A, K, C, D) | r1_collsp(A, H, I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_heyting1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k8_normform(A)) &  ~ (v1_xboole_0(B)) ) ) ) ).
fof(fc1_heyting1, axiom,  (! [A] :  (v3_lattices(k11_normform(A)) & v3_filter_0(k11_normform(A))) ) ).
fof(t1_heyting1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ( (! [E] :  (m1_subset_1(E, A) => r2_tarski(k3_funct_2(A, B, D, E), C)) )  =>  (v1_funct_1(D) &  (v1_funct_2(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_heyting1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k5_finsub_1(A)) =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(A)) =>  (r1_heyting1(A, B, C) <=>  (! [D] :  (m1_subset_1(D, A) =>  (r2_tarski(D, B) => r2_tarski(D, C)) ) ) ) ) ) ) ) ) ) ).
fof(d2_heyting1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k1_heyting1(A)=A) ) ).
fof(t2_heyting1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k5_finsub_1(k7_normform(A))) =>  (B=k1_xboole_0 => k9_normform(A, B)=k1_xboole_0) ) ) ) ).
fof(d3_heyting1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k11_normform(A))) => k3_heyting1(A, B)=B) ) ) ).
fof(t3_heyting1, axiom,  (! [A] :  (! [B] :  (m2_subset_1(B, k5_finsub_1(k7_normform(A)), k8_normform(A)) => k9_normform(A, k10_normform(A, B, B))=B) ) ) ).
fof(t4_heyting1, axiom,  (! [A] :  (! [B] :  (m2_subset_1(B, k5_finsub_1(k7_normform(A)), k8_normform(A)) =>  (! [C] :  (r1_tarski(C, B) => r2_tarski(C, k8_normform(A))) ) ) ) ) ).
fof(t5_heyting1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k11_normform(A))) =>  (! [C] :  (r1_tarski(C, B) => m1_subset_1(C, u1_struct_0(k11_normform(A)))) ) ) ) ) ).
fof(d4_heyting1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k7_normform(A), u1_struct_0(k11_normform(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k7_normform(A), u1_struct_0(k11_normform(A)))))) )  =>  (B=k4_heyting1(A) <=>  (! [C] :  (m2_subset_1(C, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) => k3_funct_2(k7_normform(A), u1_struct_0(k11_normform(A)), B, C)=k2_heyting1(A, C)) ) ) ) ) ) ).
fof(t6_heyting1, axiom,  (! [A] :  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) =>  (! [C] :  (m2_subset_1(C, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) =>  (r2_tarski(C, k3_funct_2(k7_normform(A), u1_struct_0(k11_normform(A)), k4_heyting1(A), B)) => C=B) ) ) ) ) ) ).
fof(t7_heyting1, axiom,  (! [A] :  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) => r2_tarski(B, k3_funct_2(k7_normform(A), u1_struct_0(k11_normform(A)), k4_heyting1(A), B))) ) ) ).
fof(t8_heyting1, axiom,  (! [A] :  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) => k3_funct_2(k7_normform(A), u1_struct_0(k11_normform(A)), k4_heyting1(A), B)=k3_funct_2(k7_normform(A), k5_finsub_1(k7_normform(A)), k11_setwiseo(k7_normform(A)), B)) ) ) ).
fof(t9_heyting1, axiom,  (! [A] :  (! [B] :  (m2_subset_1(B, k5_finsub_1(k7_normform(A)), k8_normform(A)) => k2_lattice2(k7_normform(A), k11_normform(A), B, k4_heyting1(A))=k10_setwiseo(k7_normform(A), k7_normform(A), B, k11_setwiseo(k7_normform(A)))) ) ) ).
fof(t10_heyting1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k11_normform(A))) => B=k2_lattice2(k7_normform(A), k11_normform(A), k3_heyting1(A, B), k4_heyting1(A))) ) ) ).
fof(d5_heyting1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A))), k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A))), k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)))))) )  =>  (B=k5_heyting1(A) <=>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A))) =>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A))) => k4_binop_1(k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), B, C, D)=k3_normform(k5_finsub_1(A), k5_finsub_1(A), C, D)) ) ) ) ) ) ) ) ).
fof(t12_heyting1, axiom,  (! [A] : m2_subset_1(k4_tarski(k1_xboole_0, k1_xboole_0), k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A))) ).
fof(t13_heyting1, axiom,  (! [A] :  (! [B] :  (m2_subset_1(B, k5_finsub_1(k7_normform(A)), k8_normform(A)) =>  (B=k1_xboole_0 => k6_heyting1(A, B)=k1_tarski(k4_tarski(k1_xboole_0, k1_xboole_0))) ) ) ) ).
fof(t14_heyting1, axiom,  (! [A] :  (! [B] :  (m2_subset_1(B, k5_finsub_1(k7_normform(A)), k8_normform(A)) =>  (! [C] :  (m2_subset_1(C, k5_finsub_1(k7_normform(A)), k8_normform(A)) =>  ( (B=k1_xboole_0 & C=k1_xboole_0)  => k7_heyting1(A, B, C)=k1_tarski(k4_tarski(k1_xboole_0, k1_xboole_0))) ) ) ) ) ) ).
fof(t15_heyting1, axiom,  (! [A] :  (m2_subset_1(A, k2_zfmisc_1(k5_finsub_1(k1_xboole_0), k5_finsub_1(k1_xboole_0)), k7_normform(k1_xboole_0)) => A=k4_tarski(k1_xboole_0, k1_xboole_0)) ) ).
fof(t16_heyting1, axiom, k7_normform(k1_xboole_0)=k1_tarski(k4_tarski(k1_xboole_0, k1_xboole_0))).
fof(t17_heyting1, axiom,  (! [A] : m2_subset_1(k1_tarski(k4_tarski(k1_xboole_0, k1_xboole_0)), k5_finsub_1(k7_normform(A)), k8_normform(A))) ).
fof(t18_heyting1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k5_finsub_1(k7_normform(A))) =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(k7_normform(A))) =>  (! [D] :  (m2_subset_1(D, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) =>  ~ ( (r2_tarski(D, k7_heyting1(A, B, C)) &  (! [E] :  (m2_funct_2(E, k7_normform(A), k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k9_funct_2(k7_normform(A), k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)))) =>  ~ ( (r1_tarski(k8_setwiseo(k7_normform(A), k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), E, B), C) & D=k6_normform(k7_normform(A), A, B, k6_funcop_1(k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A), k5_heyting1(A), E, k6_funct_3(k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_heyting1, axiom,  (! [A] :  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) =>  (! [C] :  (m2_subset_1(C, k5_finsub_1(k7_normform(A)), k8_normform(A)) =>  ~ ( (k10_normform(A, C, k2_heyting1(A, B))=k1_xboole_0 &  (! [D] :  (m2_subset_1(D, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) =>  ~ ( (r2_tarski(D, k6_heyting1(A, C)) & r1_normform(k5_finsub_1(A), k5_finsub_1(A), D, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_heyting1, axiom,  (! [A] :  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k11_normform(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k11_normform(A))) =>  ~ ( ( (! [E] :  (m2_subset_1(E, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) =>  ~ ( (r2_tarski(E, C) &  (! [F] :  (m2_subset_1(F, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) =>  ~ ( (r2_tarski(F, D) & r1_normform(k5_finsub_1(A), k5_finsub_1(A), F, k1_normform(k5_finsub_1(A), k5_finsub_1(A), E, B))) ) ) ) ) ) ) )  &  (! [E] :  (m2_subset_1(E, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) =>  ~ ( (r2_tarski(E, k7_heyting1(A, k3_heyting1(A, C), k3_heyting1(A, D))) & r1_normform(k5_finsub_1(A), k5_finsub_1(A), E, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_heyting1, axiom,  (! [A] :  (! [B] :  (m2_subset_1(B, k5_finsub_1(k7_normform(A)), k8_normform(A)) => k10_normform(A, B, k6_heyting1(A, B))=k1_xboole_0) ) ) ).
fof(d8_heyting1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k11_normform(A)), u1_struct_0(k11_normform(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k11_normform(A)), u1_struct_0(k11_normform(A)))))) )  =>  (B=k8_heyting1(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(k11_normform(A))) => k3_funct_2(u1_struct_0(k11_normform(A)), u1_struct_0(k11_normform(A)), B, C)=k9_normform(A, k6_heyting1(A, k3_heyting1(A, C)))) ) ) ) ) ) ).
fof(d9_heyting1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(k11_normform(A)), u1_struct_0(k11_normform(A))), u1_struct_0(k11_normform(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k11_normform(A)), u1_struct_0(k11_normform(A))), u1_struct_0(k11_normform(A)))))) )  =>  (B=k9_heyting1(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(k11_normform(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k11_normform(A))) => k4_binop_1(u1_struct_0(k11_normform(A)), B, C, D)=k9_normform(A, k7_heyting1(A, k3_heyting1(A, C), k3_heyting1(A, D)))) ) ) ) ) ) ) ) ).
fof(d10_heyting1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k11_normform(A))) => k10_heyting1(A, B)=k1_zfmisc_1(B)) ) ) ).
fof(d11_heyting1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k11_normform(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k11_normform(A)), u1_struct_0(k11_normform(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k11_normform(A)), u1_struct_0(k11_normform(A)))))) )  =>  (C=k11_heyting1(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(k11_normform(A))) => k3_funct_2(u1_struct_0(k11_normform(A)), u1_struct_0(k11_normform(A)), C, D)=k6_subset_1(B, D)) ) ) ) ) ) ) ) ).
fof(t22_heyting1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k11_normform(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k11_normform(A))) => r3_lattices(k11_normform(A), k3_funct_2(u1_struct_0(k11_normform(A)), u1_struct_0(k11_normform(A)), k11_heyting1(A, B), C), B)) ) ) ) ) ).
fof(t23_heyting1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k11_normform(A))) => k4_lattices(k11_normform(A), B, k3_funct_2(u1_struct_0(k11_normform(A)), u1_struct_0(k11_normform(A)), k8_heyting1(A), B))=k5_lattices(k11_normform(A))) ) ) ).
fof(t24_heyting1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k11_normform(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k11_normform(A))) => r3_lattices(k11_normform(A), k4_lattices(k11_normform(A), B, k4_binop_1(u1_struct_0(k11_normform(A)), k9_heyting1(A), B, C)), C)) ) ) ) ) ).
fof(t25_heyting1, axiom,  (! [A] :  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k11_normform(A))) =>  (k10_normform(A, k3_heyting1(A, C), k2_heyting1(A, B))=k1_xboole_0 => r3_lattices(k11_normform(A), k3_funct_2(k7_normform(A), u1_struct_0(k11_normform(A)), k4_heyting1(A), B), k3_funct_2(u1_struct_0(k11_normform(A)), u1_struct_0(k11_normform(A)), k8_heyting1(A), C))) ) ) ) ) ) ).
fof(t26_heyting1, axiom,  (! [A] :  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k11_normform(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k11_normform(A))) =>  ( ( (! [E] :  (m2_subset_1(E, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) =>  (r2_tarski(E, C) => r2_tarski(k1_normform(k5_finsub_1(A), k5_finsub_1(A), E, B), k7_normform(A))) ) )  & r3_lattices(k11_normform(A), k4_lattices(k11_normform(A), C, k3_funct_2(k7_normform(A), u1_struct_0(k11_normform(A)), k4_heyting1(A), B)), D))  => r3_lattices(k11_normform(A), k3_funct_2(k7_normform(A), u1_struct_0(k11_normform(A)), k4_heyting1(A), B), k4_binop_1(u1_struct_0(k11_normform(A)), k9_heyting1(A), C, D))) ) ) ) ) ) ) ) ).
fof(t27_heyting1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k11_normform(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k11_normform(A))) => k4_filter_0(k11_normform(A), B, C)=k2_lattice2(u1_struct_0(k11_normform(A)), k11_normform(A), k10_heyting1(A, B), k6_funcop_1(u1_struct_0(k11_normform(A)), u1_struct_0(k11_normform(A)), u1_lattices(k11_normform(A)), k8_heyting1(A), k9_funcop_1(u1_struct_0(k11_normform(A)), u1_struct_0(k11_normform(A)), k9_heyting1(A), k11_heyting1(A, B), C)))) ) ) ) ) ).
fof(t28_heyting1, axiom,  (! [A] : k6_lattices(k11_normform(A))=k1_tarski(k4_tarski(k1_xboole_0, k1_xboole_0))) ).
fof(reflexivity_r1_heyting1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k5_finsub_1(A)) & m1_subset_1(C, k5_finsub_1(A))) )  => r1_heyting1(A, B, B)) ) ).
fof(redefinition_r1_heyting1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k5_finsub_1(A)) & m1_subset_1(C, k5_finsub_1(A))) )  =>  (r1_heyting1(A, B, C) <=> r1_tarski(B, C)) ) ) ).
fof(dt_k1_heyting1, axiom,  (! [A] :  ~ (v1_xboole_0(k1_heyting1(A))) ) ).
fof(dt_k2_heyting1, axiom,  (! [A, B] :  (m1_subset_1(B, k7_normform(A)) => m2_subset_1(k2_heyting1(A, B), k5_finsub_1(k7_normform(A)), k8_normform(A))) ) ).
fof(redefinition_k2_heyting1, axiom,  (! [A, B] :  (m1_subset_1(B, k7_normform(A)) => k2_heyting1(A, B)=k1_tarski(B)) ) ).
fof(dt_k3_heyting1, axiom,  (! [A, B] :  (m1_subset_1(B, u1_struct_0(k11_normform(A))) => m2_subset_1(k3_heyting1(A, B), k5_finsub_1(k7_normform(A)), k8_normform(A))) ) ).
fof(dt_k4_heyting1, axiom,  (! [A] :  (v1_funct_1(k4_heyting1(A)) &  (v1_funct_2(k4_heyting1(A), k7_normform(A), u1_struct_0(k11_normform(A))) & m1_subset_1(k4_heyting1(A), k1_zfmisc_1(k2_zfmisc_1(k7_normform(A), u1_struct_0(k11_normform(A)))))) ) ) ).
fof(dt_k5_heyting1, axiom,  (! [A] :  (v1_funct_1(k5_heyting1(A)) &  (v1_funct_2(k5_heyting1(A), k2_zfmisc_1(k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A))), k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A))) & m1_subset_1(k5_heyting1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A))), k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)))))) ) ) ).
fof(dt_k6_heyting1, axiom,  (! [A, B] :  (m1_subset_1(B, k5_finsub_1(k7_normform(A))) => m1_subset_1(k6_heyting1(A, B), k5_finsub_1(k7_normform(A)))) ) ).
fof(dt_k7_heyting1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k5_finsub_1(k7_normform(A))) & m1_subset_1(C, k5_finsub_1(k7_normform(A))))  => m1_subset_1(k7_heyting1(A, B, C), k5_finsub_1(k7_normform(A)))) ) ).
fof(dt_k8_heyting1, axiom,  (! [A] :  (v1_funct_1(k8_heyting1(A)) &  (v1_funct_2(k8_heyting1(A), u1_struct_0(k11_normform(A)), u1_struct_0(k11_normform(A))) & m1_subset_1(k8_heyting1(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k11_normform(A)), u1_struct_0(k11_normform(A)))))) ) ) ).
fof(dt_k9_heyting1, axiom,  (! [A] :  (v1_funct_1(k9_heyting1(A)) &  (v1_funct_2(k9_heyting1(A), k2_zfmisc_1(u1_struct_0(k11_normform(A)), u1_struct_0(k11_normform(A))), u1_struct_0(k11_normform(A))) & m1_subset_1(k9_heyting1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k11_normform(A)), u1_struct_0(k11_normform(A))), u1_struct_0(k11_normform(A)))))) ) ) ).
fof(dt_k10_heyting1, axiom,  (! [A, B] :  (m1_subset_1(B, u1_struct_0(k11_normform(A))) => m1_subset_1(k10_heyting1(A, B), k5_finsub_1(u1_struct_0(k11_normform(A))))) ) ).
fof(dt_k11_heyting1, axiom,  (! [A, B] :  (m1_subset_1(B, u1_struct_0(k11_normform(A))) =>  (v1_funct_1(k11_heyting1(A, B)) &  (v1_funct_2(k11_heyting1(A, B), u1_struct_0(k11_normform(A)), u1_struct_0(k11_normform(A))) & m1_subset_1(k11_heyting1(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k11_normform(A)), u1_struct_0(k11_normform(A)))))) ) ) ) ).
fof(d6_heyting1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k5_finsub_1(k7_normform(A))) => k6_heyting1(A, B)=k8_subset_1(k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A), a_2_0_heyting1(A, B))) ) ) ).
fof(d7_heyting1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k5_finsub_1(k7_normform(A))) =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(k7_normform(A))) => k7_heyting1(A, B, C)=k8_subset_1(k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A), a_3_2_heyting1(A, B, C))) ) ) ) ) ).
fof(t11_heyting1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k5_finsub_1(k7_normform(A))) =>  (! [C] :  (m2_subset_1(C, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) =>  ~ ( (r2_tarski(C, k6_heyting1(A, B)) &  (! [D] :  (m2_funct_2(D, k7_normform(A), k1_heyting1(A), k9_funct_2(k7_normform(A), k1_heyting1(A))) =>  ~ ( ( (! [E] :  (m2_subset_1(E, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) =>  (r2_tarski(E, B) => r2_tarski(k3_funct_2(k7_normform(A), k1_heyting1(A), D, E), k5_setwiseo(A, k2_domain_1(k5_finsub_1(A), k5_finsub_1(A), E), k3_domain_1(k5_finsub_1(A), k5_finsub_1(A), E)))) ) )  & C=k4_tarski(a_3_0_heyting1(A, B, D), a_3_1_heyting1(A, B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_heyting1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k5_finsub_1(k7_normform(B))) =>  (r2_hidden(A, a_2_0_heyting1(B, C)) <=>  (? [D] :  (m2_funct_2(D, k7_normform(B), k1_heyting1(B), k9_funct_2(k7_normform(B), k1_heyting1(B))) &  (A=k4_tarski(a_3_0_heyting1(B, C, D), a_3_1_heyting1(B, C, D)) &  (! [E] :  (m2_subset_1(E, k2_zfmisc_1(k5_finsub_1(B), k5_finsub_1(B)), k7_normform(B)) =>  (r2_tarski(E, C) => r2_tarski(k3_funct_2(k7_normform(B), k1_heyting1(B), D, E), k5_setwiseo(B, k2_domain_1(k5_finsub_1(B), k5_finsub_1(B), E), k3_domain_1(k5_finsub_1(B), k5_finsub_1(B), E)))) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_heyting1, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k5_finsub_1(k7_normform(B))) & m2_funct_2(D, k7_normform(B), k1_heyting1(B), k9_funct_2(k7_normform(B), k1_heyting1(B))))  =>  (r2_hidden(A, a_3_0_heyting1(B, C, D)) <=>  (? [E] :  (m2_subset_1(E, k2_zfmisc_1(k5_finsub_1(B), k5_finsub_1(B)), k7_normform(B)) &  (A=k3_funct_2(k7_normform(B), k1_heyting1(B), D, E) &  (r2_tarski(k3_funct_2(k7_normform(B), k1_heyting1(B), D, E), k3_domain_1(k5_finsub_1(B), k5_finsub_1(B), E)) & r2_tarski(E, C)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_heyting1, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k5_finsub_1(k7_normform(B))) & m2_funct_2(D, k7_normform(B), k1_heyting1(B), k9_funct_2(k7_normform(B), k1_heyting1(B))))  =>  (r2_hidden(A, a_3_1_heyting1(B, C, D)) <=>  (? [E] :  (m2_subset_1(E, k2_zfmisc_1(k5_finsub_1(B), k5_finsub_1(B)), k7_normform(B)) &  (A=k3_funct_2(k7_normform(B), k1_heyting1(B), D, E) &  (r2_tarski(k3_funct_2(k7_normform(B), k1_heyting1(B), D, E), k2_domain_1(k5_finsub_1(B), k5_finsub_1(B), E)) & r2_tarski(E, C)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_2_heyting1, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k5_finsub_1(k7_normform(B))) & m1_subset_1(D, k5_finsub_1(k7_normform(B))))  =>  (r2_hidden(A, a_3_2_heyting1(B, C, D)) <=>  (? [E] :  (m2_funct_2(E, k7_normform(B), k2_zfmisc_1(k5_finsub_1(B), k5_finsub_1(B)), k9_funct_2(k7_normform(B), k2_zfmisc_1(k5_finsub_1(B), k5_finsub_1(B)))) &  (A=k6_normform(k7_normform(B), B, C, k6_funcop_1(k2_zfmisc_1(k5_finsub_1(B), k5_finsub_1(B)), k7_normform(B), k5_heyting1(B), E, k6_funct_3(k2_zfmisc_1(k5_finsub_1(B), k5_finsub_1(B)), k7_normform(B)))) & r1_tarski(k8_setwiseo(k7_normform(B), k2_zfmisc_1(k5_finsub_1(B), k5_finsub_1(B)), E, C), D)) ) ) ) ) ) ).
fof(fc1_heyting2, axiom,  (! [A, B, C] :  ( (v1_finset_1(B) & m1_subset_1(C, k5_finsub_1(k4_partfun1(A, B))))  => v1_finset_1(k1_heyting2(A, B, C))) ) ).
fof(fc2_heyting2, axiom,  (! [A, B] :  (v1_finset_1(B) =>  (v3_lattices(k5_substlat(A, B)) & v3_filter_0(k5_substlat(A, B))) ) ) ).
fof(t1_heyting2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (r2_tarski(D, k1_substlat(A, B)) & r2_tarski(C, D))  =>  (v1_relat_1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) ) ) ) ).
fof(t2_heyting2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k4_partfun1(A, B)))  => r2_tarski(k1_tarski(C), k1_substlat(A, B))) ) ) ) ).
fof(t3_heyting2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m2_subset_1(C, k5_finsub_1(k4_partfun1(A, B)), k1_substlat(A, B)) =>  (! [D] :  (m2_subset_1(D, k5_finsub_1(k4_partfun1(A, B)), k1_substlat(A, B)) =>  (k4_substlat(A, B, C, D)=C =>  (! [E] :  ~ ( (r2_tarski(E, C) &  (! [F] :  ~ ( (r2_tarski(F, D) & r1_tarski(F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_heyting2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m2_subset_1(C, k5_finsub_1(k4_partfun1(A, B)), k1_substlat(A, B)) =>  (! [D] :  (m2_subset_1(D, k5_finsub_1(k4_partfun1(A, B)), k1_substlat(A, B)) =>  (k3_substlat(A, B, k4_substlat(A, B, C, D))=C =>  (! [E] :  ~ ( (r2_tarski(E, C) &  (! [F] :  ~ ( (r2_tarski(F, D) & r1_tarski(F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_heyting2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m2_subset_1(C, k5_finsub_1(k4_partfun1(A, B)), k1_substlat(A, B)) =>  (! [D] :  (m2_subset_1(D, k5_finsub_1(k4_partfun1(A, B)), k1_substlat(A, B)) =>  ( (! [E] :  ~ ( (r2_tarski(E, C) &  (! [F] :  ~ ( (r2_tarski(F, D) & r1_tarski(F, E)) ) ) ) ) )  => k3_substlat(A, B, k4_substlat(A, B, C, D))=C) ) ) ) ) ) ) ).
fof(d1_heyting2, axiom,  (! [A] :  (! [B] :  (v1_finset_1(B) =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(k4_partfun1(A, B))) =>  (! [D] :  (D=k1_heyting2(A, B, C) <=>  (! [E] :  (r2_hidden(E, D) <=>  (? [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_finset_1(F)) )  &  (r2_tarski(F, C) & r2_hidden(E, k9_xtuple_0(F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_heyting2, axiom,  (! [A] :  (! [B] :  (v1_finset_1(B) =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(k4_partfun1(A, B))) => r1_tarski(k1_heyting2(A, B, C), A)) ) ) ) ) ).
fof(t7_heyting2, axiom,  (! [A] :  (! [B] :  (v1_finset_1(B) =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(k4_partfun1(A, B))) =>  (C=k1_xboole_0 => k1_heyting2(A, B, C)=k1_xboole_0) ) ) ) ) ) ).
fof(t8_heyting2, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k5_finsub_1(k4_partfun1(k1_xboole_0, A))) => k1_heyting2(k1_xboole_0, A, B)=k1_xboole_0) ) ) ) ).
fof(t9_heyting2, axiom,  (! [A] :  (! [B] :  (v1_finset_1(B) =>  (! [C] :  (m2_subset_1(C, k5_finsub_1(k4_partfun1(A, B)), k1_substlat(A, B)) => k4_substlat(A, B, C, k2_heyting2(A, B, C))=k1_xboole_0) ) ) ) ) ).
fof(t10_heyting2, axiom,  (! [A] :  (! [B] :  (v1_finset_1(B) =>  (! [C] :  (m2_subset_1(C, k5_finsub_1(k4_partfun1(A, B)), k1_substlat(A, B)) =>  (C=k1_xboole_0 => k2_heyting2(A, B, C)=k1_tarski(k1_xboole_0)) ) ) ) ) ) ).
fof(t11_heyting2, axiom,  (! [A] :  (! [B] :  (v1_finset_1(B) =>  (! [C] :  (m2_subset_1(C, k5_finsub_1(k4_partfun1(A, B)), k1_substlat(A, B)) =>  (C=k1_tarski(k1_xboole_0) => k2_heyting2(A, B, C)=k1_xboole_0) ) ) ) ) ) ).
fof(t12_heyting2, axiom,  (! [A] :  (! [B] :  (v1_finset_1(B) =>  (! [C] :  (m2_subset_1(C, k5_finsub_1(k4_partfun1(A, B)), k1_substlat(A, B)) => k3_substlat(A, B, k4_substlat(A, B, C, k2_heyting2(A, B, C)))=k5_lattices(k5_substlat(A, B))) ) ) ) ) ).
fof(t13_heyting2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  (m2_subset_1(C, k5_finsub_1(k4_partfun1(A, B)), k1_substlat(A, B)) =>  (C=k1_xboole_0 => k3_substlat(A, B, k2_heyting2(A, B, C))=k6_lattices(k5_substlat(A, B))) ) ) ) ) ) ) ).
fof(t14_heyting2, axiom,  (! [A] :  (! [B] :  (v1_finset_1(B) =>  (! [C] :  (m2_subset_1(C, k5_finsub_1(k4_partfun1(A, B)), k1_substlat(A, B)) =>  (! [D] :  (m1_subset_1(D, k4_partfun1(A, B)) =>  (! [E] :  (m2_subset_1(E, k5_finsub_1(k4_partfun1(A, B)), k1_substlat(A, B)) =>  ~ ( (E=k1_tarski(D) &  (k4_substlat(A, B, C, E)=k1_xboole_0 &  (! [F] :  (v1_finset_1(F) =>  ~ ( (r2_tarski(F, k2_heyting2(A, B, C)) & r1_tarski(F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_heyting2, axiom,  (! [A] :  (! [B] :  (v1_finset_1(B) =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(k4_partfun1(A, B))) =>  (C=k1_xboole_0 => k3_heyting2(A, B, C, C)=k1_tarski(k1_xboole_0)) ) ) ) ) ) ).
fof(t17_heyting2, axiom,  (! [A] :  (! [B] :  (v1_finset_1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_substlat(A, B))) =>  (! [D] :  (r1_tarski(D, C) => m1_subset_1(D, u1_struct_0(k5_substlat(A, B)))) ) ) ) ) ) ) ).
fof(d4_heyting2, axiom,  (! [A] :  (! [B] :  (v1_finset_1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k5_substlat(A, B)), u1_struct_0(k5_substlat(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_substlat(A, B)), u1_struct_0(k5_substlat(A, B)))))) )  =>  (C=k4_heyting2(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_substlat(A, B))) =>  (! [E] :  (m2_subset_1(E, k5_finsub_1(k4_partfun1(A, B)), k1_substlat(A, B)) =>  (E=D => k3_funct_2(u1_struct_0(k5_substlat(A, B)), u1_struct_0(k5_substlat(A, B)), C, D)=k3_substlat(A, B, k2_heyting2(A, B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_heyting2, axiom,  (! [A] :  (! [B] :  (v1_finset_1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(k5_substlat(A, B)), u1_struct_0(k5_substlat(A, B))), u1_struct_0(k5_substlat(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_substlat(A, B)), u1_struct_0(k5_substlat(A, B))), u1_struct_0(k5_substlat(A, B)))))) )  =>  (C=k5_heyting2(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_substlat(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_substlat(A, B))) =>  (! [F] :  (m2_subset_1(F, k5_finsub_1(k4_partfun1(A, B)), k1_substlat(A, B)) =>  (! [G] :  (m2_subset_1(G, k5_finsub_1(k4_partfun1(A, B)), k1_substlat(A, B)) =>  ( (F=D & G=E)  => k4_binop_1(u1_struct_0(k5_substlat(A, B)), C, D, E)=k3_substlat(A, B, k3_heyting2(A, B, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_heyting2, axiom,  (! [A] :  (! [B] :  (v1_finset_1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_substlat(A, B))) => k6_heyting2(A, B, C)=k1_zfmisc_1(C)) ) ) ) ) ).
fof(d7_heyting2, axiom,  (! [A] :  (! [B] :  (v1_finset_1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_substlat(A, B))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k5_substlat(A, B)), u1_struct_0(k5_substlat(A, B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_substlat(A, B)), u1_struct_0(k5_substlat(A, B)))))) )  =>  (D=k7_heyting2(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_substlat(A, B))) => k3_funct_2(u1_struct_0(k5_substlat(A, B)), u1_struct_0(k5_substlat(A, B)), D, E)=k6_subset_1(C, E)) ) ) ) ) ) ) ) ) ) ).
fof(d8_heyting2, axiom,  (! [A] :  (! [B] :  (v1_finset_1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_partfun1(A, B), u1_struct_0(k5_substlat(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_partfun1(A, B), u1_struct_0(k5_substlat(A, B)))))) )  =>  (C=k8_heyting2(A, B) <=>  (! [D] :  (m1_subset_1(D, k4_partfun1(A, B)) => k3_funct_2(k4_partfun1(A, B), u1_struct_0(k5_substlat(A, B)), C, D)=k3_substlat(A, B, k2_setwiseo(k4_partfun1(A, B), D))) ) ) ) ) ) ) ) ).
fof(t18_heyting2, axiom,  (! [A] :  (! [B] :  (v1_finset_1(B) =>  (! [C] :  (m2_subset_1(C, k5_finsub_1(k4_partfun1(A, B)), k1_substlat(A, B)) => k2_lattice2(k4_partfun1(A, B), k5_substlat(A, B), C, k8_heyting2(A, B))=k10_setwiseo(k4_partfun1(A, B), k4_partfun1(A, B), C, k11_setwiseo(k4_partfun1(A, B)))) ) ) ) ) ).
fof(t19_heyting2, axiom,  (! [A] :  (! [B] :  (v1_finset_1(B) =>  (! [C] :  (m2_subset_1(C, k5_finsub_1(k4_partfun1(A, B)), k1_substlat(A, B)) => C=k2_lattice2(k4_partfun1(A, B), k5_substlat(A, B), C, k8_heyting2(A, B))) ) ) ) ) ).
fof(t20_heyting2, axiom,  (! [A] :  (! [B] :  (v1_finset_1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_substlat(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_substlat(A, B))) => r3_lattices(k5_substlat(A, B), k3_funct_2(u1_struct_0(k5_substlat(A, B)), u1_struct_0(k5_substlat(A, B)), k7_heyting2(A, B, C), D), C)) ) ) ) ) ) ) ).
fof(t21_heyting2, axiom,  (! [A] :  (! [B] :  (v1_finset_1(B) =>  (! [C] :  (m1_subset_1(C, k4_partfun1(A, B)) =>  (v1_finset_1(C) =>  (! [D] :  (r2_tarski(D, k3_funct_2(k4_partfun1(A, B), u1_struct_0(k5_substlat(A, B)), k8_heyting2(A, B), C)) => D=C) ) ) ) ) ) ) ) ).
fof(t22_heyting2, axiom,  (! [A] :  (! [B] :  (v1_finset_1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_substlat(A, B))) =>  (! [D] :  (m2_subset_1(D, k5_finsub_1(k4_partfun1(A, B)), k1_substlat(A, B)) =>  (! [E] :  (m2_subset_1(E, k5_finsub_1(k4_partfun1(A, B)), k1_substlat(A, B)) =>  (! [F] :  (m1_subset_1(F, k4_partfun1(A, B)) =>  ( (D=k1_tarski(F) &  (E=C & k4_substlat(A, B, E, D)=k1_xboole_0) )  => r3_lattices(k5_substlat(A, B), k3_funct_2(k4_partfun1(A, B), u1_struct_0(k5_substlat(A, B)), k8_heyting2(A, B), F), k3_funct_2(u1_struct_0(k5_substlat(A, B)), u1_struct_0(k5_substlat(A, B)), k4_heyting2(A, B), C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_heyting2, axiom,  (! [A] :  (! [B] :  (v1_finset_1(B) =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k4_partfun1(A, B)))  => r2_tarski(C, k3_funct_2(k4_partfun1(A, B), u1_struct_0(k5_substlat(A, B)), k8_heyting2(A, B), C))) ) ) ) ) ).
fof(t24_heyting2, axiom,  (! [A] :  (! [B] :  (v1_finset_1(B) =>  (! [C] :  (m1_subset_1(C, k4_partfun1(A, B)) =>  (! [D] :  (m2_subset_1(D, k5_finsub_1(k4_partfun1(A, B)), k1_substlat(A, B)) =>  (! [E] :  (m2_subset_1(E, k5_finsub_1(k4_partfun1(A, B)), k1_substlat(A, B)) =>  ~ ( ( (! [F] :  ~ ( (r2_tarski(F, D) &  (! [G] :  ~ ( (r2_tarski(G, E) & r1_tarski(G, k2_xboole_0(F, C))) ) ) ) ) )  &  (! [F] :  ~ ( (r2_tarski(F, k3_heyting2(A, B, D, E)) & r1_tarski(F, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_heyting2, axiom,  (! [A] :  (! [B] :  (v1_finset_1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_substlat(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_substlat(A, B))) =>  (! [E] :  ( (v1_finset_1(E) & m1_subset_1(E, k4_partfun1(A, B)))  =>  ( ( (! [F] :  (m1_subset_1(F, k4_partfun1(A, B)) =>  (r2_tarski(F, C) => r1_partfun1(F, E)) ) )  & r3_lattices(k5_substlat(A, B), k4_lattices(k5_substlat(A, B), C, k3_funct_2(k4_partfun1(A, B), u1_struct_0(k5_substlat(A, B)), k8_heyting2(A, B), E)), D))  => r3_lattices(k5_substlat(A, B), k3_funct_2(k4_partfun1(A, B), u1_struct_0(k5_substlat(A, B)), k8_heyting2(A, B), E), k4_binop_1(u1_struct_0(k5_substlat(A, B)), k5_heyting2(A, B), C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t26_heyting2, axiom,  (! [A] :  (! [B] :  (v1_finset_1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_substlat(A, B))) => k4_lattices(k5_substlat(A, B), C, k3_funct_2(u1_struct_0(k5_substlat(A, B)), u1_struct_0(k5_substlat(A, B)), k4_heyting2(A, B), C))=k5_lattices(k5_substlat(A, B))) ) ) ) ) ).
fof(t27_heyting2, axiom,  (! [A] :  (! [B] :  (v1_finset_1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_substlat(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_substlat(A, B))) => r3_lattices(k5_substlat(A, B), k4_lattices(k5_substlat(A, B), C, k4_binop_1(u1_struct_0(k5_substlat(A, B)), k5_heyting2(A, B), C, D)), D)) ) ) ) ) ) ) ).
fof(t28_heyting2, axiom,  (! [A] :  (! [B] :  (v1_finset_1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_substlat(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_substlat(A, B))) => k4_filter_0(k5_substlat(A, B), C, D)=k2_lattice2(u1_struct_0(k5_substlat(A, B)), k5_substlat(A, B), k6_heyting2(A, B, C), k6_funcop_1(u1_struct_0(k5_substlat(A, B)), u1_struct_0(k5_substlat(A, B)), u1_lattices(k5_substlat(A, B)), k4_heyting2(A, B), k9_funcop_1(u1_struct_0(k5_substlat(A, B)), u1_struct_0(k5_substlat(A, B)), k5_heyting2(A, B), k7_heyting2(A, B, C), D)))) ) ) ) ) ) ) ).
fof(dt_k2_heyting2, axiom,  (! [A, B, C] :  ( (v1_finset_1(B) & m1_subset_1(C, k5_finsub_1(k4_partfun1(A, B))))  => m1_subset_1(k2_heyting2(A, B, C), k5_finsub_1(k4_partfun1(A, B)))) ) ).
fof(dt_k3_heyting2, axiom,  (! [A, B, C, D] :  ( (v1_finset_1(B) &  (m1_subset_1(C, k5_finsub_1(k4_partfun1(A, B))) & m1_subset_1(D, k5_finsub_1(k4_partfun1(A, B)))) )  => m1_subset_1(k3_heyting2(A, B, C, D), k5_finsub_1(k4_partfun1(A, B)))) ) ).
fof(dt_k4_heyting2, axiom,  (! [A, B] :  (v1_finset_1(B) =>  (v1_funct_1(k4_heyting2(A, B)) &  (v1_funct_2(k4_heyting2(A, B), u1_struct_0(k5_substlat(A, B)), u1_struct_0(k5_substlat(A, B))) & m1_subset_1(k4_heyting2(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_substlat(A, B)), u1_struct_0(k5_substlat(A, B)))))) ) ) ) ).
fof(dt_k5_heyting2, axiom,  (! [A, B] :  (v1_finset_1(B) =>  (v1_funct_1(k5_heyting2(A, B)) &  (v1_funct_2(k5_heyting2(A, B), k2_zfmisc_1(u1_struct_0(k5_substlat(A, B)), u1_struct_0(k5_substlat(A, B))), u1_struct_0(k5_substlat(A, B))) & m1_subset_1(k5_heyting2(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_substlat(A, B)), u1_struct_0(k5_substlat(A, B))), u1_struct_0(k5_substlat(A, B)))))) ) ) ) ).
fof(dt_k6_heyting2, axiom,  (! [A, B, C] :  ( (v1_finset_1(B) & m1_subset_1(C, u1_struct_0(k5_substlat(A, B))))  => m1_subset_1(k6_heyting2(A, B, C), k5_finsub_1(u1_struct_0(k5_substlat(A, B))))) ) ).
fof(dt_k7_heyting2, axiom,  (! [A, B, C] :  ( (v1_finset_1(B) & m1_subset_1(C, u1_struct_0(k5_substlat(A, B))))  =>  (v1_funct_1(k7_heyting2(A, B, C)) &  (v1_funct_2(k7_heyting2(A, B, C), u1_struct_0(k5_substlat(A, B)), u1_struct_0(k5_substlat(A, B))) & m1_subset_1(k7_heyting2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_substlat(A, B)), u1_struct_0(k5_substlat(A, B)))))) ) ) ) ).
fof(dt_k8_heyting2, axiom,  (! [A, B] :  (v1_finset_1(B) =>  (v1_funct_1(k8_heyting2(A, B)) &  (v1_funct_2(k8_heyting2(A, B), k4_partfun1(A, B), u1_struct_0(k5_substlat(A, B))) & m1_subset_1(k8_heyting2(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_partfun1(A, B), u1_struct_0(k5_substlat(A, B)))))) ) ) ) ).
fof(d2_heyting2, axiom,  (! [A] :  (! [B] :  (v1_finset_1(B) =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(k4_partfun1(A, B))) => k2_heyting2(A, B, C)=a_3_0_heyting2(A, B, C)) ) ) ) ) ).
fof(d3_heyting2, axiom,  (! [A] :  (! [B] :  (v1_finset_1(B) =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(k4_partfun1(A, B))) =>  (! [D] :  (m1_subset_1(D, k5_finsub_1(k4_partfun1(A, B))) => k3_heyting2(A, B, C, D)=k3_xboole_0(k4_partfun1(A, B), a_4_0_heyting2(A, B, C, D))) ) ) ) ) ) ) ).
fof(t15_heyting2, axiom,  (! [A] :  (! [B] :  (v1_finset_1(B) =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(k4_partfun1(A, B))) =>  (! [D] :  (m1_subset_1(D, k5_finsub_1(k4_partfun1(A, B))) =>  (! [E] :  ~ ( (r2_tarski(E, k3_heyting2(A, B, C, D)) &  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, D))))  =>  ~ ( (E=k3_tarski(a_5_1_heyting2(A, B, C, D, F)) & k1_relset_1(C, F)=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_heyting2, axiom,  (! [A, B, C, D] :  ( (v1_finset_1(C) & m1_subset_1(D, k5_finsub_1(k4_partfun1(B, C))))  =>  (r2_hidden(A, a_3_0_heyting2(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k4_partfun1(k1_heyting2(B, C, D), C)) &  (A=E &  (! [F] :  (m1_subset_1(F, k4_partfun1(B, C)) =>  ~ ( (r2_tarski(F, D) & r1_partfun1(E, F)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_heyting2, axiom,  (! [A, B, C, D, E] :  ( (v1_finset_1(C) &  (m1_subset_1(D, k5_finsub_1(k4_partfun1(B, C))) & m1_subset_1(E, k5_finsub_1(k4_partfun1(B, C)))) )  =>  (r2_hidden(A, a_4_0_heyting2(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, k4_partfun1(D, E)) &  (A=k3_tarski(a_5_0_heyting2(B, C, D, E, F)) & k9_xtuple_0(F)=D) ) ) ) ) ) ).
fof(fraenkel_a_5_0_heyting2, axiom,  (! [A, B, C, D, E, F] :  ( (v1_finset_1(C) &  (m1_subset_1(D, k5_finsub_1(k4_partfun1(B, C))) &  (m1_subset_1(E, k5_finsub_1(k4_partfun1(B, C))) & m1_subset_1(F, k4_partfun1(D, E))) ) )  =>  (r2_hidden(A, a_5_0_heyting2(B, C, D, E, F)) <=>  (? [G] :  (m1_subset_1(G, k4_partfun1(B, C)) &  (A=k6_subset_1(k1_funct_1(F, G), G) & r2_tarski(G, D)) ) ) ) ) ) ).
fof(fraenkel_a_5_1_heyting2, axiom,  (! [A, B, C, D, E, F] :  ( (v1_finset_1(C) &  (m1_subset_1(D, k5_finsub_1(k4_partfun1(B, C))) &  (m1_subset_1(E, k5_finsub_1(k4_partfun1(B, C))) &  (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, E)))) ) ) )  =>  (r2_hidden(A, a_5_1_heyting2(B, C, D, E, F)) <=>  (? [G] :  (m1_subset_1(G, k4_partfun1(B, C)) &  (A=k6_subset_1(k1_funct_1(F, G), G) & r2_tarski(G, D)) ) ) ) ) ) ).
fof(fc1_heyting3, axiom,  (! [A, B] : v1_funct_1(k2_zfmisc_1(A, k1_tarski(B)))) ).
fof(fc2_heyting3, axiom,  (! [A, B] :  (v1_lattice3(k1_heyting3(A, B)) & v2_lattice3(k1_heyting3(A, B))) ) ).
fof(fc3_heyting3, axiom,  (! [A, B] :  (v3_orders_2(k1_heyting3(A, B)) &  (v4_orders_2(k1_heyting3(A, B)) & v5_orders_2(k1_heyting3(A, B))) ) ) ).
fof(fc4_heyting3, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  => v1_finset_1(k2_heyting3(A, B))) ) ).
fof(fc5_heyting3, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  => v1_finset_1(k3_heyting3(A, B))) ) ).
fof(fc6_heyting3, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  =>  ~ (v1_xboole_0(k2_heyting3(A, B))) ) ) ).
fof(fc7_heyting3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ~ (v1_xboole_0(k4_heyting3(1, A))) ) ) ).
fof(rc1_heyting3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (? [B] :  (m1_subset_1(B, u1_struct_0(k1_heyting3(k4_ordinal1, k6_domain_1(k4_ordinal1, A)))) &  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(fc8_heyting3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ~ (v3_lattice3(k1_heyting3(k4_ordinal1, k6_domain_1(k4_ordinal1, A)))) ) ) ).
fof(fc9_heyting3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (v3_lattices(k5_substlat(k4_ordinal1, k6_domain_1(k4_ordinal1, A))) &  ~ (v4_lattice3(k5_substlat(k4_ordinal1, k6_domain_1(k4_ordinal1, A)))) ) ) ) ).
fof(t1_heyting3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k4_ordinal1))) )  =>  (? [B] :  (m1_subset_1(B, k4_ordinal1) & r1_tarski(A, k1_finsub_1(k1_zfmisc_1(k4_ordinal1), k2_finseq_1(B), k6_domain_1(k4_ordinal1, k5_numbers)))) ) ) ) ).
fof(t2_heyting3, axiom,  (! [A] :  ( (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k4_ordinal1)))  =>  ~ ( (! [B] :  ( ( ~ (v1_abian(B))  & m1_subset_1(B, k4_ordinal1))  => r2_tarski(B, A)) ) ) ) ) ).
fof(t3_heyting3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_domain_1(k4_ordinal1, A))))) )  =>  (? [C] :  ( ( ~ (v8_ordinal1(C))  & m1_subset_1(C, k4_ordinal1))  & r1_tarski(B, k8_mcart_1(k4_ordinal1, k4_ordinal1, k1_finsub_1(k1_zfmisc_1(k4_ordinal1), k2_finseq_1(C), k6_domain_1(k4_ordinal1, k5_numbers)), k6_domain_1(k4_ordinal1, A)))) ) ) ) ) ) ).
fof(t4_heyting3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_domain_1(k4_ordinal1, A))))) )  =>  ~ ( (! [C] :  ( ( ~ (v8_ordinal1(C))  & m1_subset_1(C, k4_ordinal1))  => r2_tarski(k1_domain_1(k4_ordinal1, k4_ordinal1, k1_nat_1(k2_nat_1(2, C), 1), A), B)) ) ) ) ) ) ) ).
fof(t5_heyting3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_domain_1(k4_ordinal1, A)))))  =>  (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ~ ( (r1_xxreal_0(C, D) & r2_tarski(k1_domain_1(k4_ordinal1, k4_ordinal1, D, A), B)) ) ) ) ) ) ) ) ) ) ).
fof(t6_heyting3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v14_lattices(A) & l3_lattices(A)) ) )  => k6_lattices(A)=k4_yellow_0(k3_lattice3(A))) ) ).
fof(t7_heyting3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) )  => k5_lattices(A)=k3_yellow_0(k3_lattice3(A))) ) ).
fof(t8_heyting3, axiom,  (! [A] :  (! [B] :  (v1_finset_1(B) =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(k4_partfun1(A, B))) =>  (! [D] :  (m1_subset_1(D, k5_finsub_1(k4_partfun1(A, B))) =>  (C=k1_xboole_0 =>  (D=k1_xboole_0 | k3_heyting2(A, B, D, C)=k1_xboole_0) ) ) ) ) ) ) ) ) ).
fof(t9_heyting3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (r1_tarski(A, B) & r1_tarski(C, D))  => r1_tarski(k1_substlat(A, C), k1_substlat(B, D))) ) ) ) ) ).
fof(t10_heyting3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (m1_subset_1(E, k5_finsub_1(k4_partfun1(A, C))) =>  (! [F] :  (m1_subset_1(F, k5_finsub_1(k4_partfun1(B, D))) =>  ( (r1_tarski(A, B) &  (r1_tarski(C, D) & E=F) )  => k3_substlat(A, C, E)=k3_substlat(B, D, F)) ) ) ) ) ) ) ) ) ).
fof(t11_heyting3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (r1_tarski(A, B) & r1_tarski(C, D))  => u2_lattices(k5_substlat(A, C))=k1_realset1(u2_lattices(k5_substlat(B, D)), u1_struct_0(k5_substlat(A, C)))) ) ) ) ) ).
fof(d1_heyting3, axiom,  (! [A] :  (! [B] : k1_heyting3(A, B)=k3_lattice3(k5_substlat(A, B))) ) ).
fof(t12_heyting3, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_heyting3(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_heyting3(A, B))) =>  (r3_orders_2(k1_heyting3(A, B), C, D) <=>  (! [E] :  ~ ( (r2_tarski(E, C) &  (! [F] :  ~ ( (r2_tarski(F, D) & r1_tarski(F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_heyting3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (r1_tarski(A, B) & r1_tarski(C, D))  =>  (v4_yellow_0(k1_heyting3(A, C), k1_heyting3(B, D)) & m1_yellow_0(k1_heyting3(A, C), k1_heyting3(B, D))) ) ) ) ) ) ).
fof(d2_heyting3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k4_partfun1(k4_ordinal1, k1_tarski(B))) =>  (C=k2_heyting3(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  ~ ( ( (! [E] :  ( ( ~ (v1_abian(E))  & m1_subset_1(E, k4_ordinal1))  =>  ~ ( (r1_xxreal_0(E, k3_xcmplx_0(2, A)) & k4_tarski(E, B)=D) ) ) )  &  ~ (k4_tarski(k3_xcmplx_0(2, A), B)=D) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_heyting3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k4_partfun1(k4_ordinal1, k1_tarski(B))) =>  (C=k3_heyting3(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (? [E] :  ( ( ~ (v1_abian(E))  & m1_subset_1(E, k4_ordinal1))  &  (r1_xxreal_0(E, k1_nat_1(k3_xcmplx_0(2, A), 1)) & k4_tarski(E, B)=D) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_heyting3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => r2_tarski(k1_domain_1(k4_ordinal1, k4_ordinal1, k1_nat_1(k2_nat_1(2, A), 1), B), k3_heyting3(A, B))) ) ) ) ).
fof(t15_heyting3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => r1_xboole_0(k3_heyting3(A, B), k6_domain_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_domain_1(k4_ordinal1, k4_ordinal1, k1_nat_1(k2_nat_1(2, A), 3), B)))) ) ) ) ).
fof(t16_heyting3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k3_heyting3(k1_nat_1(A, 1), B)=k2_xboole_0(k3_heyting3(A, B), k6_domain_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_domain_1(k4_ordinal1, k4_ordinal1, k1_nat_1(k2_nat_1(2, A), 3), B)))) ) ) ) ).
fof(t17_heyting3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => r2_xboole_0(k3_heyting3(A, B), k3_heyting3(k1_nat_1(A, 1), B))) ) ) ) ).
fof(t18_heyting3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ (r1_tarski(k2_heyting3(A, B), k3_heyting3(C, B))) ) ) ) ) ) ) ).
fof(t19_heyting3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r1_xxreal_0(A, C) => r1_tarski(k3_heyting3(A, B), k3_heyting3(C, B))) ) ) ) ) ) ) ).
fof(t20_heyting3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => k2_heyting3(1, A)=k7_domain_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_domain_1(k4_ordinal1, k4_ordinal1, 1, A), k1_domain_1(k4_ordinal1, k4_ordinal1, 2, A))) ) ).
fof(d4_heyting3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(k4_partfun1(k4_ordinal1, k1_tarski(B)))) =>  (C=k4_heyting3(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  ~ ( ( (! [E] :  ( ( ~ (v8_ordinal1(E))  & m1_subset_1(E, k4_ordinal1))  =>  ~ ( (r1_xxreal_0(E, A) & D=k2_heyting3(E, B)) ) ) )  &  ~ (D=k3_heyting3(A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_heyting3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ~ ( (r2_tarski(C, k4_heyting3(k1_nat_1(A, 1), B)) &  (! [D] :  ~ ( (r2_tarski(D, k4_heyting3(A, B)) & r1_tarski(D, C)) ) ) ) ) ) ) ) ) ) ).
fof(t22_heyting3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ~ (r2_tarski(k3_heyting3(A, B), k4_heyting3(k1_nat_1(A, 1), B))) ) ) ) ) ).
fof(t23_heyting3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r1_tarski(k2_heyting3(A, B), k2_heyting3(C, B)) => A=C) ) ) ) ) ) ) ).
fof(t24_heyting3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r1_tarski(k3_heyting3(A, B), k2_heyting3(C, B)) <=>  ~ (r1_xxreal_0(C, A)) ) ) ) ) ) ) ) ).
fof(t25_heyting3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => m1_subset_1(k4_heyting3(A, B), u1_struct_0(k1_heyting3(k4_ordinal1, k6_domain_1(k4_ordinal1, B))))) ) ) ) ).
fof(d5_heyting3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_heyting3(k4_ordinal1, k6_domain_1(k4_ordinal1, A))))) =>  (B=k5_heyting3(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  (? [D] :  ( ( ~ (v8_ordinal1(D))  & m1_subset_1(D, k4_ordinal1))  & C=k4_heyting3(D, A)) ) ) ) ) ) ) ) ) ).
fof(t26_heyting3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => k4_heyting3(1, A)=k7_domain_1(k4_partfun1(k4_ordinal1, k1_tarski(A)), k2_heyting3(1, A), k3_heyting3(1, A))) ) ).
fof(t27_heyting3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ~ (k4_heyting3(1, A)=k1_tarski(k1_xboole_0)) ) ) ).
fof(t28_heyting3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => m1_subset_1(k6_domain_1(k4_partfun1(k4_ordinal1, k1_tarski(B)), k2_heyting3(A, B)), u1_struct_0(k1_heyting3(k4_ordinal1, k6_domain_1(k4_ordinal1, B))))) ) ) ) ).
fof(t29_heyting3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_heyting3(B, k6_domain_1(k4_ordinal1, A)))) =>  (r2_tarski(C, D) =>  (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_domain_1(k4_ordinal1, A))))) ) ) ) ) ) ) ) ).
fof(t30_heyting3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_heyting3(k4_ordinal1, k6_domain_1(k4_ordinal1, A)))) =>  (r1_lattice3(k1_heyting3(k4_ordinal1, k6_domain_1(k4_ordinal1, A)), k5_heyting3(A), B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  ~ ( (r2_tarski(C, B) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ~ ( (r2_tarski(k1_domain_1(k4_ordinal1, k4_ordinal1, D, A), C) & v1_abian(D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_heyting3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_heyting3(k4_ordinal1, k6_domain_1(k4_ordinal1, A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_heyting3(k4_ordinal1, k6_domain_1(k4_ordinal1, A)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k1_heyting3(k4_ordinal1, k6_domain_1(k4_ordinal1, A))))) =>  ( (r1_lattice3(k1_heyting3(k4_ordinal1, k6_domain_1(k4_ordinal1, A)), D, B) & r1_lattice3(k1_heyting3(k4_ordinal1, k6_domain_1(k4_ordinal1, A)), D, C))  => r1_lattice3(k1_heyting3(k4_ordinal1, k6_domain_1(k4_ordinal1, A)), D, k13_lattice3(k1_heyting3(k4_ordinal1, k6_domain_1(k4_ordinal1, A)), B, C))) ) ) ) ) ) ) ) ) ).
fof(t32_heyting3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_heyting3(k4_ordinal1, k6_domain_1(k4_ordinal1, A)))) =>  (r2_tarski(k1_xboole_0, B) => B=k1_tarski(k1_xboole_0)) ) ) ) ) ).
fof(t33_heyting3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, u1_struct_0(k1_heyting3(k4_ordinal1, k6_domain_1(k4_ordinal1, A)))))  =>  ~ ( ( ~ (B=k1_tarski(k1_xboole_0))  &  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finset_1(C)) )  =>  ~ ( (r2_tarski(C, B) &  ~ (C=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_heyting3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, u1_struct_0(k1_heyting3(k4_ordinal1, k6_domain_1(k4_ordinal1, A)))))  =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(k4_partfun1(k4_ordinal1, k6_domain_1(k4_ordinal1, A)))) =>  (B=C =>  (B=k1_tarski(k1_xboole_0) |  ( ~ (v1_xboole_0(k1_heyting2(k4_ordinal1, k6_domain_1(k4_ordinal1, A), C)))  &  (v1_finset_1(k1_heyting2(k4_ordinal1, k6_domain_1(k4_ordinal1, A), C)) & m1_subset_1(k1_heyting2(k4_ordinal1, k6_domain_1(k4_ordinal1, A), C), k1_zfmisc_1(k4_ordinal1))) ) ) ) ) ) ) ) ) ) ).
fof(t35_heyting3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_heyting3(k4_ordinal1, k6_domain_1(k4_ordinal1, A)))) =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(k4_partfun1(k4_ordinal1, k6_domain_1(k4_ordinal1, A)))) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(k4_ordinal1))) )  =>  ( (D=k1_heyting2(k4_ordinal1, k6_domain_1(k4_ordinal1, A), C) & C=B)  =>  (! [E] :  (r2_tarski(E, B) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  ~ ( ( ~ (r1_xxreal_0(F, k1_nat_1(k1_xxreal_2(D), 1)))  & r2_tarski(k1_domain_1(k4_ordinal1, k4_ordinal1, F, A), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_heyting3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => k4_yellow_0(k1_heyting3(k4_ordinal1, k6_domain_1(k4_ordinal1, A)))=k1_tarski(k1_xboole_0)) ) ).
fof(t37_heyting3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => k3_yellow_0(k1_heyting3(k4_ordinal1, k6_domain_1(k4_ordinal1, A)))=k1_xboole_0) ) ).
fof(t38_heyting3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_heyting3(k4_ordinal1, k6_domain_1(k4_ordinal1, A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_heyting3(k4_ordinal1, k6_domain_1(k4_ordinal1, A)))) =>  ( (r3_orders_2(k1_heyting3(k4_ordinal1, k6_domain_1(k4_ordinal1, A)), B, C) & B=k1_tarski(k1_xboole_0))  => C=k1_tarski(k1_xboole_0)) ) ) ) ) ) ) ).
fof(t39_heyting3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_heyting3(k4_ordinal1, k6_domain_1(k4_ordinal1, A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_heyting3(k4_ordinal1, k6_domain_1(k4_ordinal1, A)))) =>  ( (r3_orders_2(k1_heyting3(k4_ordinal1, k6_domain_1(k4_ordinal1, A)), B, C) & C=k1_xboole_0)  => B=k1_xboole_0) ) ) ) ) ) ) ).
fof(t40_heyting3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_heyting3(k4_ordinal1, k6_domain_1(k4_ordinal1, A)))) =>  ~ ( (r1_lattice3(k1_heyting3(k4_ordinal1, k6_domain_1(k4_ordinal1, A)), k5_heyting3(A), B) & B=k1_tarski(k1_xboole_0)) ) ) ) ) ) ).
fof(s1_heyting3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(f1_s1_heyting3))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(f1_s1_heyting3))) =>  ( ( (! [C] :  (r2_hidden(C, A) <=> p1_s1_heyting3(C)) )  &  (! [C] :  (r2_hidden(C, B) <=> p1_s1_heyting3(C)) ) )  => A=B) ) ) ) ) ).
fof(dt_f1_s1_heyting3, axiom, l1_struct_0(f1_s1_heyting3)).
fof(dt_k1_heyting3, axiom,  (! [A, B] : l1_orders_2(k1_heyting3(A, B))) ).
fof(dt_k2_heyting3, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => m1_subset_1(k2_heyting3(A, B), k4_partfun1(k4_ordinal1, k1_tarski(B)))) ) ).
fof(dt_k3_heyting3, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => m1_subset_1(k3_heyting3(A, B), k4_partfun1(k4_ordinal1, k1_tarski(B)))) ) ).
fof(dt_k4_heyting3, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => m1_subset_1(k4_heyting3(A, B), k5_finsub_1(k4_partfun1(k4_ordinal1, k1_tarski(B))))) ) ).
fof(dt_k5_heyting3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => m1_subset_1(k5_heyting3(A), k1_zfmisc_1(u1_struct_0(k1_heyting3(k4_ordinal1, k6_domain_1(k4_ordinal1, A)))))) ) ).
fof(t1_hfdiff_1, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_numbers, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => k1_relset_1(k1_numbers, k5_relset_1(k1_numbers, k1_numbers, B, A))=A) ) ) ) ).
fof(t2_hfdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  => r2_relset_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, A), k32_valued_1(k1_numbers, k1_numbers, B)), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B))) ) ) ) ).
fof(t3_hfdiff_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (r1_xxreal_0(1, A) =>  (k1_relset_1(k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_taylor_1(A)))=k4_xboole_0(k1_numbers, k1_tarski(k5_numbers)) & k8_relset_1(k1_numbers, k1_numbers, k1_taylor_1(A), k1_tarski(k5_numbers))=k1_tarski(k5_numbers)) ) ) ) ).
fof(t4_hfdiff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => r2_relset_1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_taylor_1(C)), k3_xcmplx_0(A, B)), k26_valued_1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_taylor_1(C)), B), A))) ) ) ) ) ) ).
fof(t5_hfdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) => r2_relset_1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, A, B), k26_valued_1(k1_numbers, k1_numbers, A, C)), k26_valued_1(k1_numbers, k1_numbers, A, k2_xcmplx_0(B, C)))) ) ) ) ) ) ).
fof(t6_hfdiff_1, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r2_fdiff_1(k5_relset_1(k1_numbers, k1_numbers, B, A), A) => r2_fdiff_1(B, A)) ) ) ) ) ).
fof(t7_hfdiff_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_xxreal_0(1, A) & r1_taylor_1(C, A, B))  => r2_fdiff_1(C, B)) ) ) ) ) ) ) ).
fof(t8_hfdiff_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => r2_fdiff_1(k1_taylor_1(A), k1_numbers)) ) ).
fof(t9_hfdiff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (r2_hidden(A, B) => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(k16_sin_cos, B), 2), A)=k4_xcmplx_0(k1_funct_1(k16_sin_cos, A))) ) ) ) ) ).
fof(t10_hfdiff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (r2_hidden(A, B) => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(k16_sin_cos, B), 3), A)=k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k18_sin_cos), A)) ) ) ) ) ).
fof(t11_hfdiff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (r2_hidden(A, C) => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(k16_sin_cos, C), B), A)=k1_funct_1(k16_sin_cos, k2_xcmplx_0(A, k7_xcmplx_0(k3_xcmplx_0(B, k28_sin_cos), 2)))) ) ) ) ) ) ) ).
fof(t12_hfdiff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (r2_hidden(A, B) => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(k18_sin_cos, B), 2), A)=k4_xcmplx_0(k1_funct_1(k18_sin_cos, A))) ) ) ) ) ).
fof(t13_hfdiff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (r2_hidden(A, B) => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(k18_sin_cos, B), 3), A)=k1_funct_1(k16_sin_cos, A)) ) ) ) ) ).
fof(t14_hfdiff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (r2_hidden(A, C) => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(k18_sin_cos, C), B), A)=k1_funct_1(k18_sin_cos, k2_xcmplx_0(A, k7_xcmplx_0(k3_xcmplx_0(B, k28_sin_cos), 2)))) ) ) ) ) ) ) ).
fof(t15_hfdiff_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_taylor_1(C, A, B) & r1_taylor_1(D, A, B))  => r2_relset_1(k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), B), A), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(C, B), A), k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(D, B), A)))) ) ) ) ) ) ) ) ) ).
fof(t16_hfdiff_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_taylor_1(C, A, B) & r1_taylor_1(D, A, B))  => r2_relset_1(k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), B), A), k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(C, B), A), k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(D, B), A)))) ) ) ) ) ) ) ) ) ).
fof(t17_hfdiff_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_taylor_1(D, A, C) &  (r1_taylor_1(E, A, C) & r1_xxreal_0(B, A)) )  => r2_relset_1(k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, D, E), C), B), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(D, C), B), k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(E, C), B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_hfdiff_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_taylor_1(D, A, C) &  (r1_taylor_1(E, A, C) & r1_xxreal_0(B, A)) )  => r2_relset_1(k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, D, E), C), B), k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(D, C), B), k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(E, C), B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_hfdiff_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_taylor_1(C, A, B) & r1_taylor_1(D, A, B))  => r1_taylor_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), A, B)) ) ) ) ) ) ) ) ) ).
fof(t20_hfdiff_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_taylor_1(C, A, B) & r1_taylor_1(D, A, B))  => r1_taylor_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), A, B)) ) ) ) ) ) ) ) ) ).
fof(t21_hfdiff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_taylor_1(D, B, C) => r2_relset_1(k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(k26_valued_1(k1_numbers, k1_numbers, D, A), C), B), k26_valued_1(k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(D, C), B), A))) ) ) ) ) ) ) ) ) ).
fof(t22_hfdiff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_taylor_1(D, B, C) => r1_taylor_1(k26_valued_1(k1_numbers, k1_numbers, D, A), B, C)) ) ) ) ) ) ) ) ) ).
fof(t23_hfdiff_1, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r2_fdiff_1(B, A) => r2_relset_1(k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(B, A), 1), k2_fdiff_1(B, A))) ) ) ) ) ).
fof(t24_hfdiff_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_xxreal_0(1, A) & r1_taylor_1(C, A, B))  => r2_relset_1(k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(C, B), 1), k2_fdiff_1(C, B))) ) ) ) ) ) ) ).
fof(t25_hfdiff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  (r2_hidden(A, D) => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(k26_valued_1(k1_numbers, k1_numbers, k16_sin_cos, B), D), C), A)=k3_xcmplx_0(B, k1_funct_1(k16_sin_cos, k2_xcmplx_0(A, k7_xcmplx_0(k3_xcmplx_0(C, k28_sin_cos), 2))))) ) ) ) ) ) ) ) ) ).
fof(t26_hfdiff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  (r2_hidden(A, D) => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(k26_valued_1(k1_numbers, k1_numbers, k18_sin_cos, B), D), C), A)=k3_xcmplx_0(B, k1_funct_1(k18_sin_cos, k2_xcmplx_0(A, k7_xcmplx_0(k3_xcmplx_0(C, k28_sin_cos), 2))))) ) ) ) ) ) ) ) ) ).
fof(t27_hfdiff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  (r2_hidden(A, D) => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(k26_valued_1(k1_numbers, k1_numbers, k22_sin_cos, B), D), C), A)=k3_xcmplx_0(B, k1_funct_1(k22_sin_cos, A))) ) ) ) ) ) ) ) ) ).
fof(t28_hfdiff_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  => r2_relset_1(k1_numbers, k1_numbers, k2_fdiff_1(k1_taylor_1(A), B), k5_relset_1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_taylor_1(k6_xcmplx_0(A, 1)), A), B))) ) ) ) ).
fof(t29_hfdiff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ( ~ (A=k5_numbers)  =>  (r1_fdiff_1(k6_rfunct_1(k1_numbers, k1_numbers, k1_taylor_1(B)), A) & k1_fdiff_1(k6_rfunct_1(k1_numbers, k1_numbers, k1_taylor_1(B)), A)=k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(B, k3_prepower(A, k6_xcmplx_0(B, 1))), k1_square_1(k3_prepower(A, B))))) ) ) ) ) ) ).
fof(t30_hfdiff_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (r1_xxreal_0(1, A) => r2_relset_1(k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(k1_taylor_1(A), B), 2), k5_relset_1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_taylor_1(k6_xcmplx_0(A, 2)), k3_xcmplx_0(A, k6_xcmplx_0(A, 1))), B))) ) ) ) ) ).
fof(t31_hfdiff_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (r1_xxreal_0(2, A) => r2_relset_1(k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(k1_taylor_1(A), B), 3), k5_relset_1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_taylor_1(k6_xcmplx_0(A, 3)), k3_xcmplx_0(k3_xcmplx_0(A, k6_xcmplx_0(A, 1)), k6_xcmplx_0(A, 2))), B))) ) ) ) ) ).
fof(t32_hfdiff_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( ~ (r1_xxreal_0(A, B))  => r2_relset_1(k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(k1_taylor_1(A), C), B), k5_relset_1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_taylor_1(k6_xcmplx_0(A, B)), k3_xcmplx_0(k4_newton(B, A), k2_newton(B))), C))) ) ) ) ) ) ) ).
fof(t33_hfdiff_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_taylor_1(C, A, B) =>  (r2_relset_1(k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(k32_valued_1(k1_numbers, k1_numbers, C), B), A), k32_valued_1(k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(C, B), A))) & r1_taylor_1(k32_valued_1(k1_numbers, k1_numbers, C), A, B)) ) ) ) ) ) ) ) ).
fof(t34_hfdiff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  (r2_hidden(B, D) =>  (k8_nat_1(k1_numbers, k6_taylor_1(k16_sin_cos, D, B, A), C)=k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k16_sin_cos, k2_xcmplx_0(B, k7_xcmplx_0(k3_xcmplx_0(C, k28_sin_cos), 2))), k1_newton(k6_xcmplx_0(A, B), C)), k2_newton(C)) & k8_nat_1(k1_numbers, k6_taylor_1(k18_sin_cos, D, B, A), C)=k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k18_sin_cos, k2_xcmplx_0(B, k7_xcmplx_0(k3_xcmplx_0(C, k28_sin_cos), 2))), k1_newton(k6_xcmplx_0(A, B), C)), k2_newton(C))) ) ) ) ) ) ) ) ) ) ).
fof(t35_hfdiff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  =>  (k8_nat_1(k1_numbers, k1_taylor_2(k16_sin_cos, k2_rcomp_1(k4_xcmplx_0(B), B), A), C)=k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k16_sin_cos, k7_xcmplx_0(k3_xcmplx_0(C, k28_sin_cos), 2)), k1_newton(A, C)), k2_newton(C)) & k8_nat_1(k1_numbers, k1_taylor_2(k18_sin_cos, k2_rcomp_1(k4_xcmplx_0(B), B), A), C)=k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k18_sin_cos, k7_xcmplx_0(k3_xcmplx_0(C, k28_sin_cos), 2)), k1_newton(A, C)), k2_newton(C))) ) ) ) ) ) ) ) ).
fof(t36_hfdiff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  (r2_hidden(A, D) =>  (r1_xxreal_0(B, C) | k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(k1_taylor_1(B), D), C), A)=k3_xcmplx_0(k3_xcmplx_0(k4_newton(C, B), k2_newton(C)), k3_prepower(A, k6_xcmplx_0(B, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t37_hfdiff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (r2_hidden(A, C) => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(k1_taylor_1(B), C), B), A)=k2_newton(B)) ) ) ) ) ) ) ).
fof(t38_hfdiff_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  => r1_taylor_1(k1_taylor_1(A), A, B)) ) ) ) ).
fof(t39_hfdiff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  ( (v3_rcomp_1(E) & m1_subset_1(E, k1_zfmisc_1(k1_numbers)))  =>  (r2_hidden(A, E) =>  (r1_xxreal_0(C, D) | k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(k26_valued_1(k1_numbers, k1_numbers, k1_taylor_1(C), B), E), D), A)=k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(B, k4_newton(D, C)), k2_newton(D)), k3_prepower(A, k6_xcmplx_0(C, D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_hfdiff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  (r2_hidden(A, D) => k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(k26_valued_1(k1_numbers, k1_numbers, k1_taylor_1(C), B), D), C), A)=k3_xcmplx_0(B, k2_newton(C))) ) ) ) ) ) ) ) ) ).
fof(t41_hfdiff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  ( (v3_rcomp_1(E) & m1_subset_1(E, k1_zfmisc_1(k1_numbers)))  =>  (r2_hidden(B, E) =>  (r1_xxreal_0(C, D) |  (k8_nat_1(k1_numbers, k6_taylor_1(k1_taylor_1(C), E, B, A), D)=k3_xcmplx_0(k3_xcmplx_0(k4_newton(D, C), k3_prepower(B, k6_xcmplx_0(C, D))), k1_newton(k6_xcmplx_0(A, B), D)) & k8_nat_1(k1_numbers, k6_taylor_1(k1_taylor_1(C), E, B, A), C)=k1_newton(k6_xcmplx_0(A, B), C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_hfdiff_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k1_numbers) =>  (! [D] :  (m1_subset_1(D, k1_numbers) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  ~ ( (k8_nat_1(k1_numbers, k1_taylor_2(k1_taylor_1(A), k2_rcomp_1(k1_real_1(C), C), D), B)=k5_numbers & k8_nat_1(k1_numbers, k1_taylor_2(k1_taylor_1(A), k2_rcomp_1(k1_real_1(C), C), D), A)=k1_newton(D, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_hfdiff_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  ( ~ (r2_tarski(k5_numbers, B))  => r2_fdiff_1(k6_rfunct_1(k1_numbers, k1_numbers, k1_taylor_1(A)), B)) ) ) ) ) ).
fof(t44_hfdiff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (r2_hidden(A, C) =>  (r2_tarski(k5_numbers, C) | k1_funct_1(k2_fdiff_1(k6_rfunct_1(k1_numbers, k1_numbers, k1_taylor_1(B)), C), A)=k4_xcmplx_0(k7_xcmplx_0(B, k1_funct_1(k1_taylor_1(k1_nat_1(B, 1)), A)))) ) ) ) ) ) ) ) ).
fof(t45_hfdiff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (A=k5_numbers)  =>  (r1_fdiff_1(k6_rfunct_1(k1_numbers, k1_numbers, k6_partfun1(k1_numbers)), A) & k1_fdiff_1(k6_rfunct_1(k1_numbers, k1_numbers, k6_partfun1(k1_numbers)), A)=k4_xcmplx_0(k7_xcmplx_0(1, k1_square_1(A)))) ) ) ) ).
fof(t46_hfdiff_1, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( ~ (r2_tarski(k5_numbers, A))  => r2_relset_1(k1_numbers, k1_numbers, k2_fdiff_1(k6_rfunct_1(k1_numbers, k1_numbers, k6_partfun1(k1_numbers)), A), k5_relset_1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_taylor_1(2)), k4_xcmplx_0(1)), A))) ) ) ).
fof(t47_hfdiff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (A=k5_numbers)  =>  (r1_fdiff_1(k6_rfunct_1(k1_numbers, k1_numbers, k1_taylor_1(2)), A) & k1_fdiff_1(k6_rfunct_1(k1_numbers, k1_numbers, k1_taylor_1(2)), A)=k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(2, A), k1_square_1(k3_prepower(A, 2))))) ) ) ) ).
fof(t48_hfdiff_1, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( ~ (r2_tarski(k5_numbers, A))  => r2_relset_1(k1_numbers, k1_numbers, k2_fdiff_1(k6_rfunct_1(k1_numbers, k1_numbers, k1_taylor_1(2)), A), k5_relset_1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_taylor_1(3)), k4_xcmplx_0(2)), A))) ) ) ).
fof(t49_hfdiff_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (r1_xxreal_0(1, A) =>  (r2_tarski(k5_numbers, B) | r2_relset_1(k1_numbers, k1_numbers, k2_fdiff_1(k6_rfunct_1(k1_numbers, k1_numbers, k1_taylor_1(A)), B), k5_relset_1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_taylor_1(k1_nat_1(A, 1))), k4_xcmplx_0(A)), B))) ) ) ) ) ) ).
fof(t50_hfdiff_1, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_taylor_1(B, 2, A) & r1_taylor_1(C, 2, A))  => r2_relset_1(k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A), 2), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(B, A), 2), C), k26_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k2_fdiff_1(B, A), k2_fdiff_1(C, A)), 2)), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(C, A), 2))))) ) ) ) ) ) ) ).
fof(t51_hfdiff_1, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k3_taylor_1)) & r1_tarski(A, k1_relset_1(k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k6_partfun1(k1_numbers)))))  => r2_relset_1(k1_numbers, k1_numbers, k2_fdiff_1(k3_taylor_1, A), k5_relset_1(k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k6_partfun1(k1_numbers)), A))) ) ) ).
fof(t52_hfdiff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_xxreal_0(1, B) & r2_hidden(A, C))  =>  (r2_tarski(k5_numbers, C) | k1_funct_1(k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(k6_rfunct_1(k1_numbers, k1_numbers, k1_taylor_1(B)), C), 2), A)=k3_xcmplx_0(k2_nat_1(B, k1_nat_1(B, 1)), k1_funct_1(k6_rfunct_1(k1_numbers, k1_numbers, k1_taylor_1(k1_nat_1(B, 2))), A))) ) ) ) ) ) ) ) ).
fof(t53_hfdiff_1, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  => r2_relset_1(k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(k41_valued_1(k1_numbers, k1_numbers, k16_sin_cos), A), 2), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k5_relset_1(k1_numbers, k1_numbers, k41_valued_1(k1_numbers, k1_numbers, k18_sin_cos), A), 2), k26_valued_1(k1_numbers, k1_numbers, k5_relset_1(k1_numbers, k1_numbers, k41_valued_1(k1_numbers, k1_numbers, k16_sin_cos), A), k4_xcmplx_0(2))))) ) ).
fof(t54_hfdiff_1, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  => r2_relset_1(k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(k41_valued_1(k1_numbers, k1_numbers, k18_sin_cos), A), 2), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k5_relset_1(k1_numbers, k1_numbers, k41_valued_1(k1_numbers, k1_numbers, k16_sin_cos), A), 2), k26_valued_1(k1_numbers, k1_numbers, k5_relset_1(k1_numbers, k1_numbers, k41_valued_1(k1_numbers, k1_numbers, k18_sin_cos), A), k4_xcmplx_0(2))))) ) ).
fof(t55_hfdiff_1, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  => r2_relset_1(k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), A), 2), k26_valued_1(k1_numbers, k1_numbers, k5_relset_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k16_sin_cos), k18_sin_cos), A), 4))) ) ).
fof(t56_hfdiff_1, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k26_sin_cos)) =>  (r2_fdiff_1(k26_sin_cos, A) & r2_relset_1(k1_numbers, k1_numbers, k2_fdiff_1(k26_sin_cos, A), k5_relset_1(k1_numbers, k1_numbers, k41_valued_1(k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k18_sin_cos)), A))) ) ) ) ).
fof(t57_hfdiff_1, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k26_sin_cos)) =>  (r2_fdiff_1(k6_rfunct_1(k1_numbers, k1_numbers, k18_sin_cos), A) & r2_relset_1(k1_numbers, k1_numbers, k2_fdiff_1(k6_rfunct_1(k1_numbers, k1_numbers, k18_sin_cos), A), k5_relset_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k18_sin_cos), k26_sin_cos), A))) ) ) ) ).
fof(t58_hfdiff_1, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k26_sin_cos)) => r2_relset_1(k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(k26_sin_cos, A), 2), k26_valued_1(k1_numbers, k1_numbers, k5_relset_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k6_rfunct_1(k1_numbers, k1_numbers, k18_sin_cos)), k6_rfunct_1(k1_numbers, k1_numbers, k18_sin_cos)), A), 2))) ) ) ).
fof(t59_hfdiff_1, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k27_sin_cos)) =>  (r2_fdiff_1(k27_sin_cos, A) & r2_relset_1(k1_numbers, k1_numbers, k2_fdiff_1(k27_sin_cos, A), k5_relset_1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k41_valued_1(k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k16_sin_cos)), k4_xcmplx_0(1)), A))) ) ) ) ).
fof(t60_hfdiff_1, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k27_sin_cos)) =>  (r2_fdiff_1(k6_rfunct_1(k1_numbers, k1_numbers, k16_sin_cos), A) & r2_relset_1(k1_numbers, k1_numbers, k2_fdiff_1(k6_rfunct_1(k1_numbers, k1_numbers, k16_sin_cos), A), k5_relset_1(k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k16_sin_cos), k27_sin_cos)), A))) ) ) ) ).
fof(t61_hfdiff_1, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k27_sin_cos)) => r2_relset_1(k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(k27_sin_cos, A), 2), k26_valued_1(k1_numbers, k1_numbers, k5_relset_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k6_rfunct_1(k1_numbers, k1_numbers, k16_sin_cos)), k6_rfunct_1(k1_numbers, k1_numbers, k16_sin_cos)), A), 2))) ) ) ).
fof(t62_hfdiff_1, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  => r2_relset_1(k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k16_sin_cos), A), 2), k26_valued_1(k1_numbers, k1_numbers, k5_relset_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k18_sin_cos), A), 2))) ) ).
fof(t63_hfdiff_1, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  => r2_relset_1(k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k18_sin_cos), A), 2), k26_valued_1(k1_numbers, k1_numbers, k5_relset_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k32_valued_1(k1_numbers, k1_numbers, k16_sin_cos)), A), 2))) ) ).
fof(t64_hfdiff_1, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_taylor_1(B, 3, A) & r1_taylor_1(C, 3, A))  => r2_relset_1(k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A), 3), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(B, A), 3), C), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(B, A), 2), k2_fdiff_1(C, A)), 3), k26_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k2_fdiff_1(B, A), k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(C, A), 2)), 3))), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(C, A), 3))))) ) ) ) ) ) ) ).
fof(t65_hfdiff_1, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  => r2_relset_1(k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(k41_valued_1(k1_numbers, k1_numbers, k16_sin_cos), A), 3), k26_valued_1(k1_numbers, k1_numbers, k5_relset_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k16_sin_cos), A), k4_xcmplx_0(8)))) ) ).
fof(t66_hfdiff_1, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_taylor_1(B, 2, A) => r2_relset_1(k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(k41_valued_1(k1_numbers, k1_numbers, B), A), 2), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(B, A), 2)), 2), k26_valued_1(k1_numbers, k1_numbers, k41_valued_1(k1_numbers, k1_numbers, k2_fdiff_1(B, A)), 2)))) ) ) ) ) ).
fof(t67_hfdiff_1, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_taylor_1(B, 2, A) &  (! [C] :  (v1_xreal_0(C) =>  ~ ( (r2_hidden(C, A) & k1_funct_1(B, C)=k5_numbers) ) ) ) )  => r2_relset_1(k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(k6_rfunct_1(k1_numbers, k1_numbers, B), A), 2), k3_rfunct_1(k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k2_fdiff_1(B, A), 2), k2_fdiff_1(B, A)), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(B, A), 2), B)), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, B))))) ) ) ) ) ).
fof(t68_hfdiff_1, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  => r2_relset_1(k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, k5_taylor_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k16_sin_cos), A), 3), k5_relset_1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k16_sin_cos), k18_sin_cos)), 2), A))) ) ).
fof(antisymmetry_r2_hidden, axiom,  (! [A, B] :  (r2_hidden(A, B) =>  ~ (r2_hidden(B, A)) ) ) ).
fof(fc1_hilb10_1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  ~ (v1_pythtrip(k1_xreal_0(k1_square_1(A), 1))) ) ) ).
fof(fc2_hilb10_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  & v7_ordinal1(B))  =>  (v7_ordinal1(k1_hilb10_1(A, B)) & v2_xxreal_0(k1_hilb10_1(A, B))) ) ) ).
fof(fc3_hilb10_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  (v7_ordinal1(k2_hilb10_1(A, B)) &  ~ (v8_ordinal1(k2_hilb10_1(A, B))) ) ) ) ).
fof(fc4_hilb10_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  &  (v7_ordinal1(B) & v2_xxreal_0(B)) )  =>  ~ (v1_zfmisc_1(k3_xcmplx_0(A, B))) ) ) ).
fof(t1_hilb10_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  ( (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(C, k3_finseq_1(B)) =>  (r1_xxreal_0(C, 1) | k4_nat_d(k1_funct_1(B, C), A)=k5_numbers) ) ) )  => k2_nat_d(k16_rvsum_1(B), A)=k4_nat_d(k1_funct_1(B, 1), A)) ) ) ) ) ).
fof(t2_hilb10_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_valued_0(A)) ) )  =>  (? [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_valued_0(B)) ) )  &  (? [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) & v1_valued_0(C)) ) )  &  (k3_finseq_1(B)=k1_int_1(k7_xcmplx_0(k3_finseq_1(A), 2)) &  (k3_finseq_1(C)=k2_int_1(k7_xcmplx_0(k3_finseq_1(A), 2)) &  (k16_rvsum_1(A)=k2_xcmplx_0(k16_rvsum_1(B), k16_rvsum_1(C)) &  (! [D] :  (v7_ordinal1(D) =>  (k1_funct_1(B, D)=k1_funct_1(A, k3_xcmplx_0(2, D)) & k1_funct_1(C, D)=k1_funct_1(A, k6_xcmplx_0(k3_xcmplx_0(2, D), 1))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_hilb10_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (v1_zfmisc_1(A))  =>  (! [C] :  (v7_ordinal1(C) =>  (C=k1_hilb10_1(A, B) <=>  (! [D] :  ( ( ~ (v1_zfmisc_1(D))  & v7_ordinal1(D))  =>  ~ ( (D=A &  (! [E] :  (v7_ordinal1(E) =>  ~ (k2_xcmplx_0(C, k3_xcmplx_0(E, k3_square_1(k7_nat_d(k1_square_1(D), 1))))=k1_newton(k2_xcmplx_0(k2_domain_1(k4_numbers, k4_numbers, k1_pells_eq(k7_nat_d(k1_square_1(D), 1))), k3_xcmplx_0(k3_domain_1(k4_numbers, k4_numbers, k1_pells_eq(k7_nat_d(k1_square_1(D), 1))), k3_square_1(k7_nat_d(k1_square_1(D), 1)))), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_hilb10_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (v1_zfmisc_1(A))  =>  (! [C] :  (v7_ordinal1(C) =>  (C=k2_hilb10_1(A, B) <=>  (! [D] :  ( ( ~ (v1_zfmisc_1(D))  & v7_ordinal1(D))  =>  (D=A => k2_xcmplx_0(k1_hilb10_1(D, B), k3_xcmplx_0(C, k3_square_1(k7_nat_d(k1_square_1(D), 1))))=k1_newton(k2_xcmplx_0(k2_domain_1(k4_numbers, k4_numbers, k1_pells_eq(k7_nat_d(k1_square_1(D), 1))), k3_xcmplx_0(k3_domain_1(k4_numbers, k4_numbers, k1_pells_eq(k7_nat_d(k1_square_1(D), 1))), k3_square_1(k7_nat_d(k1_square_1(D), 1)))), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_hilb10_1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  (k1_hilb10_1(A, k5_numbers)=1 & k2_hilb10_1(A, k5_numbers)=k5_numbers) ) ) ).
fof(t4_hilb10_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v1_zfmisc_1(C))  & v7_ordinal1(C))  =>  ~ ( (m1_pells_eq(k4_tarski(A, B), k7_nat_d(k1_square_1(C), 1)) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (A=k1_hilb10_1(C, D) & B=k2_hilb10_1(C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_hilb10_1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  => k4_tarski(A, 1)=k1_pells_eq(k7_nat_d(k1_square_1(A), 1))) ) ).
fof(t6_hilb10_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B))  =>  (k1_hilb10_1(B, k2_xcmplx_0(A, 1))=k2_xcmplx_0(k3_xcmplx_0(k1_hilb10_1(B, A), B), k3_xcmplx_0(k2_hilb10_1(B, A), k7_nat_d(k1_square_1(B), 1))) & k2_hilb10_1(B, k2_xcmplx_0(A, 1))=k2_xcmplx_0(k1_hilb10_1(B, A), k3_xcmplx_0(k2_hilb10_1(B, A), B))) ) ) ) ) ).
fof(t7_hilb10_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B))  => k6_xcmplx_0(k1_square_1(k1_hilb10_1(B, A)), k3_xcmplx_0(k7_nat_d(k1_square_1(B), 1), k1_square_1(k2_hilb10_1(B, A))))=1) ) ) ) ).
fof(t8_hilb10_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B))  =>  (k2_xcmplx_0(k1_hilb10_1(B, A), k3_xcmplx_0(k2_hilb10_1(B, A), k3_square_1(k7_nat_d(k1_square_1(B), 1))))=k1_newton(k2_xcmplx_0(B, k3_square_1(k7_nat_d(k1_square_1(B), 1))), A) & k2_xcmplx_0(k1_hilb10_1(B, A), k3_xcmplx_0(k4_xcmplx_0(k2_hilb10_1(B, A)), k3_square_1(k7_nat_d(k1_square_1(B), 1))))=k1_newton(k6_xcmplx_0(B, k3_square_1(k7_nat_d(k1_square_1(B), 1))), A)) ) ) ) ) ).
fof(t9_hilb10_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B))  =>  (? [C] :  (m2_finseq_1(C, k4_ordinal1) &  (? [D] :  (m2_finseq_1(D, k4_ordinal1) &  (k16_rvsum_1(C)=k2_hilb10_1(B, A) &  (k3_finseq_1(C)=k1_int_1(k7_xcmplx_0(k2_xcmplx_0(A, 1), 2)) &  ( (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, k7_xcmplx_0(k2_xcmplx_0(A, 1), 2)))  => k1_funct_1(C, E)=k3_xcmplx_0(k3_xcmplx_0(k4_newton(k7_nat_d(k3_xcmplx_0(2, E), 1), A), k1_newton(B, k7_nat_d(k2_xcmplx_0(A, 1), k3_xcmplx_0(2, E)))), k11_newton(k7_nat_d(k1_square_1(B), 1), k7_nat_d(E, 1)))) ) )  &  (k2_xcmplx_0(k1_newton(B, A), k16_rvsum_1(D))=k1_hilb10_1(B, A) &  (k3_finseq_1(D)=k1_int_1(k7_xcmplx_0(A, 2)) &  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, k7_xcmplx_0(A, 2)))  => k1_funct_1(D, E)=k3_xcmplx_0(k3_xcmplx_0(k4_newton(k3_xcmplx_0(2, E), A), k1_newton(B, k7_nat_d(A, k3_xcmplx_0(2, E)))), k1_newton(k7_nat_d(k1_square_1(B), 1), E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_hilb10_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v1_zfmisc_1(C))  & v7_ordinal1(C))  =>  (r1_xxreal_0(B, A) => r1_xxreal_0(k1_hilb10_1(C, B), k1_hilb10_1(C, A))) ) ) ) ) ) ) ).
fof(t11_hilb10_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v1_zfmisc_1(C))  & v7_ordinal1(C))  =>  ~ ( ( ~ (r1_xxreal_0(A, B))  & r1_xxreal_0(k2_hilb10_1(C, A), k2_hilb10_1(C, B))) ) ) ) ) ) ) ) ).
fof(t12_hilb10_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v1_zfmisc_1(C))  & v7_ordinal1(C))  =>  (k2_hilb10_1(C, B)=k2_hilb10_1(C, A) => B=A) ) ) ) ) ) ) ).
fof(t13_hilb10_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B))  => r1_xxreal_0(A, k2_hilb10_1(B, A))) ) ) ) ).
fof(t14_hilb10_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v1_zfmisc_1(C))  & v7_ordinal1(C))  =>  ~ ( ( ~ (C=2)  &  (r1_xxreal_0(B, A) & r1_xxreal_0(k1_hilb10_1(C, A), k3_xcmplx_0(2, k2_hilb10_1(C, B)))) ) ) ) ) ) ) ) ) ).
fof(t15_hilb10_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v1_zfmisc_1(C))  & v7_ordinal1(C))  =>  ~ ( (C=2 &  (r1_xxreal_0(B, A) & r1_xxreal_0(k1_hilb10_1(C, A), k3_xcmplx_0(k3_square_1(3), k2_hilb10_1(C, B)))) ) ) ) ) ) ) ) ) ).
fof(t16_hilb10_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v1_zfmisc_1(C))  & v7_ordinal1(C))  =>  ~ ( (C=2 &  ( ~ (r1_xxreal_0(A, B))  & r1_xxreal_0(k1_hilb10_1(C, A), k3_xcmplx_0(k2_xcmplx_0(3, k3_xcmplx_0(2, k3_square_1(3))), k2_hilb10_1(C, B)))) ) ) ) ) ) ) ) ) ).
fof(t17_hilb10_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B))  =>  (r1_xxreal_0(k3_xcmplx_0(k1_newton(k6_xcmplx_0(k3_xcmplx_0(2, B), 1), A), k6_xcmplx_0(B, 1)), k1_hilb10_1(B, k2_xcmplx_0(A, 1))) &  (r1_xxreal_0(k1_hilb10_1(B, k2_xcmplx_0(A, 1)), k3_xcmplx_0(B, k1_newton(k3_xcmplx_0(2, B), A))) &  (r1_xxreal_0(k1_newton(k6_xcmplx_0(k3_xcmplx_0(2, B), 1), A), k2_hilb10_1(B, k2_xcmplx_0(A, 1))) & r1_xxreal_0(k2_hilb10_1(B, k2_xcmplx_0(A, 1)), k1_newton(k3_xcmplx_0(2, B), A))) ) ) ) ) ) ) ).
fof(t18_hilb10_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B))  =>  (! [C] :  ( (v7_ordinal1(C) & v2_xxreal_0(C))  =>  (r1_xxreal_0(k3_xcmplx_0(k1_newton(C, A), k1_newton(k6_xcmplx_0(1, k7_xcmplx_0(1, k3_xcmplx_0(k3_xcmplx_0(2, B), C))), A)), k7_xcmplx_0(k2_hilb10_1(k3_xcmplx_0(B, C), k2_xcmplx_0(A, 1)), k2_hilb10_1(B, k2_xcmplx_0(A, 1)))) & r1_xxreal_0(k7_xcmplx_0(k2_hilb10_1(k3_xcmplx_0(B, C), k2_xcmplx_0(A, 1)), k2_hilb10_1(B, k2_xcmplx_0(A, 1))), k3_xcmplx_0(k1_newton(C, A), k7_xcmplx_0(1, k1_newton(k6_xcmplx_0(1, k7_xcmplx_0(1, k3_xcmplx_0(2, B))), A))))) ) ) ) ) ) ) ).
fof(t19_hilb10_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B))  =>  (! [C] :  ( (v7_ordinal1(C) & v2_xxreal_0(C))  =>  ( ~ (r1_xxreal_0(B, k3_xcmplx_0(k3_xcmplx_0(2, A), k1_newton(C, A))))  =>  ( ~ (r1_xxreal_0(k7_xcmplx_0(k2_hilb10_1(k3_xcmplx_0(B, C), k2_xcmplx_0(A, 1)), k2_hilb10_1(B, k2_xcmplx_0(A, 1))), k6_xcmplx_0(k1_newton(C, A), k7_xcmplx_0(1, 2))))  &  ~ (r1_xxreal_0(k2_xcmplx_0(k1_newton(C, A), k7_xcmplx_0(1, 2)), k7_xcmplx_0(k2_hilb10_1(k3_xcmplx_0(B, C), k2_xcmplx_0(A, 1)), k2_hilb10_1(B, k2_xcmplx_0(A, 1))))) ) ) ) ) ) ) ) ) ).
fof(t20_hilb10_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B))  =>  (r1_xxreal_0(k5_numbers, A) => k3_xcmplx_0(k1_absvalue(A), k2_hilb10_1(B, k1_int_2(A)))=k2_hilb10_1(B, k1_int_2(A))) ) ) ) ) ).
fof(t21_hilb10_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B))  =>  (r1_xxreal_0(A, k5_numbers) => k3_xcmplx_0(k1_absvalue(A), k2_hilb10_1(B, k1_int_2(A)))=k4_xcmplx_0(k2_hilb10_1(B, k1_int_2(A)))) ) ) ) ) ).
fof(t22_hilb10_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( ( ~ (v1_zfmisc_1(C))  & v7_ordinal1(C))  =>  (k1_hilb10_1(C, k1_int_2(k2_xcmplx_0(A, B)))=k2_xcmplx_0(k3_xcmplx_0(k1_hilb10_1(C, k1_int_2(A)), k1_hilb10_1(C, k1_int_2(B))), k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k7_nat_d(k1_square_1(C), 1), k1_absvalue(A)), k2_hilb10_1(C, k1_int_2(A))), k1_absvalue(B)), k2_hilb10_1(C, k1_int_2(B)))) & k3_xcmplx_0(k1_absvalue(k2_xcmplx_0(A, B)), k2_hilb10_1(C, k1_int_2(k2_xcmplx_0(A, B))))=k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_hilb10_1(C, k1_int_2(A)), k1_absvalue(B)), k2_hilb10_1(C, k1_int_2(B))), k3_xcmplx_0(k3_xcmplx_0(k1_absvalue(A), k2_hilb10_1(C, k1_int_2(A))), k1_hilb10_1(C, k1_int_2(B))))) ) ) ) ) ) ) ).
fof(t23_hilb10_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B))  => r1_int_2(k1_hilb10_1(B, A), k2_hilb10_1(B, A))) ) ) ) ).
fof(t24_hilb10_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B))  => r2_int_1(k2_hilb10_1(B, A), A, k6_xcmplx_0(B, 1))) ) ) ) ).
fof(t25_hilb10_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B))  =>  (! [C] :  ( ( ~ (v1_zfmisc_1(C))  & v7_ordinal1(C))  =>  (r2_int_1(k1_hilb10_1(B, A), k1_hilb10_1(C, A), k6_xcmplx_0(B, C)) & r2_int_1(k2_hilb10_1(B, A), k2_hilb10_1(C, A), k6_xcmplx_0(B, C))) ) ) ) ) ) ) ).
fof(t26_hilb10_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v1_zfmisc_1(C))  & v7_ordinal1(C))  =>  (! [D] :  ( ( ~ (v1_zfmisc_1(D))  & v7_ordinal1(D))  =>  (r2_int_1(C, D, B) => r2_int_1(k2_hilb10_1(C, A), k2_hilb10_1(D, A), B)) ) ) ) ) ) ) ) ) ).
fof(t27_hilb10_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( ( ~ (v1_zfmisc_1(C))  & v7_ordinal1(C))  => r2_int_1(k3_xcmplx_0(k1_absvalue(k2_xcmplx_0(k3_xcmplx_0(2, A), B)), k2_hilb10_1(C, k1_int_2(k2_xcmplx_0(k3_xcmplx_0(2, A), B)))), k4_xcmplx_0(k3_xcmplx_0(k1_absvalue(B), k2_hilb10_1(C, k1_int_2(B)))), k1_hilb10_1(C, k1_int_2(A)))) ) ) ) ) ) ).
fof(t28_hilb10_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  ( ( ~ (v1_zfmisc_1(D))  & v7_ordinal1(D))  => r2_int_1(k3_xcmplx_0(k1_absvalue(k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(4, B), A), C)), k2_hilb10_1(D, k1_int_2(k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(4, B), A), C)))), k3_xcmplx_0(k1_absvalue(C), k2_hilb10_1(D, k1_int_2(C))), k1_hilb10_1(D, k1_int_2(B)))) ) ) ) ) ) ) ) ).
fof(t29_hilb10_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( ( ~ (v1_zfmisc_1(C))  & v7_ordinal1(C))  => r2_int_1(k3_xcmplx_0(k1_absvalue(k2_xcmplx_0(A, B)), k2_hilb10_1(C, k1_int_2(k2_xcmplx_0(A, B)))), k3_xcmplx_0(k1_absvalue(k6_xcmplx_0(A, B)), k2_hilb10_1(C, k1_int_2(k6_xcmplx_0(A, B)))), k1_hilb10_1(C, k1_int_2(A)))) ) ) ) ) ) ).
fof(t30_hilb10_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v1_int_1(D) =>  (! [E] :  (v1_int_1(E) =>  (! [F] :  ( ( ~ (v1_zfmisc_1(F))  & v7_ordinal1(F))  =>  ( (r1_xxreal_0(C, A) &  (k1_int_2(D)=k2_hilb10_1(F, B) &  (k1_int_2(E)=k2_hilb10_1(F, C) & r2_int_1(D, E, k1_hilb10_1(F, A))) ) )  =>  (r1_xxreal_0(C, B) | D=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_hilb10_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v1_int_1(D) =>  (! [E] :  (v1_int_1(E) =>  (! [F] :  ( ( ~ (v1_zfmisc_1(F))  & v7_ordinal1(F))  =>  ~ ( (r1_xxreal_0(B, k3_xcmplx_0(2, A)) &  (r1_xxreal_0(C, k3_xcmplx_0(2, A)) &  (k1_int_2(D)=k2_hilb10_1(F, B) &  (k1_int_2(E)=k2_hilb10_1(F, C) &  (r2_int_1(D, E, k1_hilb10_1(F, A)) &  ( ~ (r2_int_1(B, C, k3_xcmplx_0(2, A)))  &  ~ (r2_int_1(B, k4_xcmplx_0(C), k3_xcmplx_0(2, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_hilb10_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v1_int_1(D) =>  (! [E] :  (v1_int_1(E) =>  (! [F] :  ( ( ~ (v1_zfmisc_1(F))  & v7_ordinal1(F))  =>  ~ ( (r1_xxreal_0(B, k3_xcmplx_0(4, A)) &  (r1_xxreal_0(C, k3_xcmplx_0(4, A)) &  (k1_int_2(D)=k2_hilb10_1(F, B) &  (k1_int_2(E)=k2_hilb10_1(F, C) &  (r2_int_1(D, E, k1_hilb10_1(F, A)) &  ( ~ (r2_int_1(B, C, k3_xcmplx_0(2, A)))  &  ~ (r2_int_1(B, k4_xcmplx_0(C), k3_xcmplx_0(2, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_hilb10_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v1_zfmisc_1(D))  & v7_ordinal1(D))  =>  ~ ( (r2_int_1(k2_hilb10_1(D, B), k2_hilb10_1(D, C), k1_hilb10_1(D, A)) &  ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r2_int_1(B, C, k3_xcmplx_0(2, A)))  &  ~ (r2_int_1(B, k4_xcmplx_0(C), k3_xcmplx_0(2, A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_hilb10_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v1_zfmisc_1(C))  & v7_ordinal1(C))  => r1_nat_d(k2_hilb10_1(C, A), k2_hilb10_1(C, k3_xcmplx_0(A, B)))) ) ) ) ) ) ).
fof(t35_hilb10_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v1_zfmisc_1(C))  & v7_ordinal1(C))  => r2_int_1(k2_hilb10_1(C, k3_xcmplx_0(A, B)), k3_xcmplx_0(k3_xcmplx_0(B, k1_newton(k1_hilb10_1(C, A), k7_nat_d(B, 1))), k2_hilb10_1(C, A)), k1_square_1(k2_hilb10_1(C, A)))) ) ) ) ) ) ).
fof(t36_hilb10_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v1_zfmisc_1(C))  & v7_ordinal1(C))  =>  (r1_nat_d(k2_hilb10_1(C, B), k2_hilb10_1(C, A)) =>  (r1_xxreal_0(B, k5_numbers) | r1_nat_d(B, A)) ) ) ) ) ) ) ) ).
fof(t37_hilb10_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v1_zfmisc_1(C))  & v7_ordinal1(C))  =>  (r1_nat_d(k1_square_1(k2_hilb10_1(C, B)), k2_hilb10_1(C, A)) => r1_nat_d(k2_hilb10_1(C, B), A)) ) ) ) ) ) ) ).
fof(t38_hilb10_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (A=k2_hilb10_1(C, B) &  ~ (r1_xxreal_0(C, 1)) )  <=>  (? [D] :  (v7_ordinal1(D) &  (? [E] :  (v7_ordinal1(E) &  (? [F] :  (v7_ordinal1(F) &  (? [G] :  (v7_ordinal1(G) &  (? [H] :  (v7_ordinal1(H) &  (? [I] :  (v7_ordinal1(I) &  ( ~ (r1_xxreal_0(C, 1))  &  (m1_pells_eq(k4_tarski(D, A), k7_nat_d(k1_square_1(C), 1)) &  (m1_pells_eq(k4_tarski(E, F), k7_nat_d(k1_square_1(C), 1)) &  (r1_xxreal_0(A, F) &  ( ~ (r1_xxreal_0(G, A))  &  (r1_xxreal_0(B, A) &  (m1_pells_eq(k4_tarski(H, I), k7_nat_d(k1_square_1(G), 1)) &  (r2_int_1(I, A, E) &  (r2_int_1(G, C, E) &  (r2_int_1(I, B, k3_xcmplx_0(2, A)) &  (r2_int_1(G, 1, k3_xcmplx_0(2, A)) & r2_int_1(F, k5_numbers, k1_square_1(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_hilb10_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (B=k1_newton(A, C) <=>  ~ ( ( ~ ( (B=1 & C=k5_numbers) )  &  ( ~ ( (A=k5_numbers &  (B=k5_numbers &  ~ (r1_xxreal_0(C, k5_numbers)) ) ) )  &  ( ~ ( (A=1 &  (B=1 &  ~ (r1_xxreal_0(C, k5_numbers)) ) ) )  &  ~ ( ( ~ (r1_xxreal_0(A, 1))  &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  (? [D] :  (v7_ordinal1(D) &  (? [E] :  (v7_ordinal1(E) &  (? [F] :  (v7_ordinal1(F) &  (? [G] :  (v7_ordinal1(G) &  (D=k2_hilb10_1(A, k2_xcmplx_0(C, 1)) &  ( ~ (r1_xxreal_0(G, k3_xcmplx_0(k3_xcmplx_0(2, C), D)))  &  (E=k2_hilb10_1(G, k2_xcmplx_0(C, 1)) &  (F=k2_hilb10_1(k3_xcmplx_0(G, A), k2_xcmplx_0(C, 1)) &  ( (r1_xxreal_0(k5_numbers, k6_xcmplx_0(B, k7_xcmplx_0(F, E))) &  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k6_xcmplx_0(B, k7_xcmplx_0(F, E)))) )  |  (r1_xxreal_0(k5_numbers, k6_xcmplx_0(k7_xcmplx_0(F, E), B)) &  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k6_xcmplx_0(k7_xcmplx_0(F, E), B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_hilb10_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k1_hilb10_1(A, B))) ) ).
fof(dt_k2_hilb10_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k2_hilb10_1(A, B))) ) ).
fof(rc1_hilb10_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & v7_ordinal1(B))  =>  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, A) &  (v1_funct_1(C) &  (v5_ordinal1(C) &  (v1_finset_1(C) &  (v3_card_1(C, B) &  (v2_pre_poly(C) & v1_afinsq_1(C)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_hilb10_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v5_ordinal1(B) &  (v1_finset_1(B) &  (v3_card_1(B, A) &  (v3_valued_0(B) &  (v2_pre_poly(B) & v1_afinsq_1(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_hilb10_2, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v5_ordinal1(C) &  (v1_finset_1(C) & v3_card_1(C, A)) ) ) )  &  (v1_relat_1(D) &  (v1_funct_1(D) &  (v5_ordinal1(D) &  (v1_finset_1(D) & v3_card_1(D, B)) ) ) ) ) ) )  =>  (v1_relat_1(k1_ordinal4(C, D)) &  (v1_funct_1(k1_ordinal4(C, D)) &  (v5_ordinal1(k1_ordinal4(C, D)) & v3_card_1(k1_ordinal4(C, D), k2_xcmplx_0(A, B))) ) ) ) ) ).
fof(fc2_hilb10_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v1_finset_1(A) & v3_valued_0(A)) ) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) &  (v1_finset_1(B) & v3_valued_0(B)) ) ) ) )  =>  (v1_relat_1(k1_ordinal4(A, B)) &  (v1_funct_1(k1_ordinal4(A, B)) &  (v5_ordinal1(k1_ordinal4(A, B)) & v3_valued_0(k1_ordinal4(A, B))) ) ) ) ) ).
fof(fc3_hilb10_2, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) &  (v3_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (v1_relat_1(k3_relat_1(B, C)) & v1_partfun1(k3_relat_1(B, C), A)) ) ) ).
fof(fc4_hilb10_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_pre_poly(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v2_funct_1(B)) ) )  =>  (v1_relat_1(k3_relat_1(B, A)) & v2_pre_poly(k3_relat_1(B, A))) ) ) ).
fof(fc5_hilb10_2, axiom,  (! [A] :  (v1_funct_1(k8_polynom1(A, k2_vectsp_1)) &  (v1_funct_2(k8_polynom1(A, k2_vectsp_1), k15_pre_poly(A), u1_struct_0(k2_vectsp_1)) & v4_valued_0(k8_polynom1(A, k2_vectsp_1))) ) ) ).
fof(fc6_hilb10_2, axiom,  (! [A] :  (v1_funct_1(k9_polynom1(A, k2_vectsp_1)) &  (v1_funct_2(k9_polynom1(A, k2_vectsp_1), k15_pre_poly(A), u1_struct_0(k2_vectsp_1)) & v4_valued_0(k9_polynom1(A, k2_vectsp_1))) ) ) ).
fof(fc7_hilb10_2, axiom,  (! [A, B] :  (m1_subset_1(B, A) =>  (v1_funct_1(k3_hilbasis(A, B, k2_vectsp_1)) &  (v1_funct_2(k3_hilbasis(A, B, k2_vectsp_1), k15_pre_poly(A), u1_struct_0(k2_vectsp_1)) & v4_valued_0(k3_hilbasis(A, B, k2_vectsp_1))) ) ) ) ).
fof(rc3_hilb10_2, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(k2_vectsp_1)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k15_pre_poly(A)) &  (v5_relat_1(B, k4_numbers) &  (v5_relat_1(B, u1_struct_0(k2_vectsp_1)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, k15_pre_poly(A)) &  (v1_funct_2(B, k15_pre_poly(A), u1_struct_0(k2_vectsp_1)) &  (v1_valued_0(B) &  (v2_valued_0(B) & v3_valued_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc4_hilb10_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(k2_vectsp_1)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k15_pre_poly(A)) &  (v5_relat_1(B, k4_numbers) &  (v5_relat_1(B, u1_struct_0(k2_vectsp_1)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, k15_pre_poly(A)) &  (v1_funct_2(B, k15_pre_poly(A), u1_struct_0(k2_vectsp_1)) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) & v1_polynom1(B, k2_vectsp_1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc8_hilb10_2, axiom,  (! [A, B] :  ( (v5_relat_1(B, k4_numbers) &  (v1_funct_1(B) &  (v1_funct_2(B, k15_pre_poly(A), u1_struct_0(k2_vectsp_1)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(k2_vectsp_1))))) ) )  =>  (v5_relat_1(k5_vfunct_1(k15_pre_poly(A), k2_vectsp_1, B), k4_numbers) & v1_funct_1(k5_vfunct_1(k15_pre_poly(A), k2_vectsp_1, B))) ) ) ).
fof(fc9_hilb10_2, axiom,  (! [A, B, C] :  ( ( (v5_relat_1(B, k4_numbers) &  (v1_funct_1(B) &  (v1_funct_2(B, k15_pre_poly(A), u1_struct_0(k2_vectsp_1)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(k2_vectsp_1))))) ) )  &  (v5_relat_1(C, k4_numbers) &  (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(k2_vectsp_1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(k2_vectsp_1))))) ) ) )  =>  (v5_relat_1(k5_polynom1(A, k2_vectsp_1, B, C), k4_numbers) &  (v1_funct_1(k5_polynom1(A, k2_vectsp_1, B, C)) & v1_funct_2(k5_polynom1(A, k2_vectsp_1, B, C), k15_pre_poly(A), u1_struct_0(k2_vectsp_1))) ) ) ) ).
fof(fc10_hilb10_2, axiom,  (! [A, B, C] :  ( ( (v5_relat_1(B, k4_numbers) &  (v1_funct_1(B) &  (v1_funct_2(B, k15_pre_poly(A), u1_struct_0(k2_vectsp_1)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(k2_vectsp_1))))) ) )  &  (v5_relat_1(C, k4_numbers) &  (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(k2_vectsp_1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(k2_vectsp_1))))) ) ) )  =>  (v5_relat_1(k7_polynom1(A, k2_vectsp_1, B, C), k4_numbers) &  (v1_funct_1(k7_polynom1(A, k2_vectsp_1, B, C)) & v1_funct_2(k7_polynom1(A, k2_vectsp_1, B, C), k15_pre_poly(A), u1_struct_0(k2_vectsp_1))) ) ) ) ).
fof(fc11_hilb10_2, axiom,  (! [A, B, C] :  ( (v3_ordinal1(A) &  ( (v5_relat_1(B, k4_numbers) &  (v1_funct_1(B) &  (v1_funct_2(B, k15_pre_poly(A), u1_struct_0(k2_vectsp_1)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(k2_vectsp_1))))) ) )  &  (v5_relat_1(C, k4_numbers) &  (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(k2_vectsp_1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(k2_vectsp_1))))) ) ) ) )  =>  (v5_relat_1(k10_polynom1(A, k2_vectsp_1, B, C), k4_numbers) &  (v1_funct_1(k10_polynom1(A, k2_vectsp_1, B, C)) & v1_funct_2(k10_polynom1(A, k2_vectsp_1, B, C), k15_pre_poly(A), u1_struct_0(k2_vectsp_1))) ) ) ) ).
fof(rc5_hilb10_2, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k2_vectsp_1)))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, u1_struct_0(k2_vectsp_1)) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_funct_2(B, A, u1_struct_0(k2_vectsp_1)) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) & v4_valued_0(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc6_hilb10_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k2_vectsp_1)))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k4_numbers) &  (v5_relat_1(B, u1_struct_0(k2_vectsp_1)) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_funct_2(B, A, u1_struct_0(k2_vectsp_1)) &  (v1_valued_0(B) &  (v2_valued_0(B) & v3_valued_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc12_hilb10_2, axiom,  (! [A, B, C] :  ( (v3_ordinal1(A) &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  &  (v5_relat_1(C, k4_numbers) &  (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(k2_vectsp_1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k2_vectsp_1))))) ) ) ) )  => v1_int_1(k1_polynom2(A, B, k2_vectsp_1, C))) ) ).
fof(fc13_hilb10_2, axiom,  (! [A, B, C] :  ( (v3_ordinal1(A) &  ( (v5_relat_1(B, k4_numbers) &  (v1_funct_1(B) &  (v1_funct_2(B, k15_pre_poly(A), u1_struct_0(k2_vectsp_1)) &  (v1_polynom1(B, k2_vectsp_1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(k2_vectsp_1))))) ) ) )  &  (v5_relat_1(C, k4_numbers) &  (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(k2_vectsp_1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k2_vectsp_1))))) ) ) ) )  => v1_int_1(k2_polynom2(A, k2_vectsp_1, B, C))) ) ).
fof(fc14_hilb10_2, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) ) )  =>  (v1_funct_1(k3_hilb10_2(A, B, C)) &  (v1_funct_2(k3_hilb10_2(A, B, C), k15_pre_poly(k1_nat_1(A, 1)), u1_struct_0(B)) & v1_polynom1(k3_hilb10_2(A, B, C), B)) ) ) ) ).
fof(fc15_hilb10_2, axiom,  (! [A, B, C, D] :  ( (v3_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, A) &  (v3_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) ) ) )  =>  (v1_funct_1(k4_hilb10_2(A, B, D, C)) &  (v1_funct_2(k4_hilb10_2(A, B, D, C), k15_pre_poly(A), u1_struct_0(B)) & v1_polynom1(k4_hilb10_2(A, B, D, C), B)) ) ) ) ).
fof(fc16_hilb10_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & v7_ordinal1(B))  =>  ~ (v1_xboole_0(k5_hilb10_2(A, B))) ) ) ).
fof(cc1_hilb10_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & v7_ordinal1(B))  =>  (! [C] :  (m1_subset_1(C, k5_hilb10_2(A, B)) =>  (v5_relat_1(C, A) & v3_card_1(C, B)) ) ) ) ) ).
fof(cc2_hilb10_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k5_hilb10_2(k4_ordinal1, A))) =>  (v1_xboole_0(B) => v1_hilb10_2(B, A)) ) ) ) ) ).
fof(fc17_hilb10_2, axiom,  (! [A] :  (v7_ordinal1(A) => v1_hilb10_2(k2_subset_1(k5_hilb10_2(k4_ordinal1, A)), A)) ) ).
fof(cc3_hilb10_2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v8_ordinal1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k5_hilb10_2(k4_ordinal1, A))) => v1_hilb10_2(B, A)) ) ) ) ).
fof(rc7_hilb10_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k5_hilb10_2(k4_ordinal1, A))) &  (v4_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_hilb10_2(B, A)) ) ) ) ) ) ).
fof(rc8_hilb10_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k5_hilb10_2(k4_ordinal1, A))) &  (v4_funct_1(B) &  (v1_xboole_0(B) & v1_hilb10_2(B, A)) ) ) ) ) ) ).
fof(fc18_hilb10_2, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_hilb10_2(B, A) & m1_subset_1(B, k1_zfmisc_1(k5_hilb10_2(k4_ordinal1, A))))  &  (v1_hilb10_2(C, A) & m1_subset_1(C, k1_zfmisc_1(k5_hilb10_2(k4_ordinal1, A)))) ) )  => v1_hilb10_2(k3_xboole_0(B, C), A)) ) ).
fof(fc19_hilb10_2, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_hilb10_2(B, A) & m1_subset_1(B, k1_zfmisc_1(k5_hilb10_2(k4_ordinal1, A))))  &  (v1_hilb10_2(C, A) & m1_subset_1(C, k1_zfmisc_1(k5_hilb10_2(k4_ordinal1, A)))) ) )  => v1_hilb10_2(k2_xboole_0(B, C), A)) ) ).
fof(d1_hilb10_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) &  (v1_finset_1(B) &  (v3_card_1(B, A) & v3_valued_0(B)) ) ) ) )  => k1_hilb10_2(A, B)=B) ) ) ) ).
fof(d2_hilb10_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  => k2_hilb10_2(A, B, C)=C) ) ) ) ) ) ).
fof(t1_hilb10_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) )  =>  (v2_funct_1(k1_ordinal4(A, B)) => r1_xboole_0(k10_xtuple_0(A), k10_xtuple_0(B))) ) ) ) ) ).
fof(t2_hilb10_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) & v1_funct_1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, A) &  (v3_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  => k1_card_1(k13_pre_poly(k3_relat_1(C, B)))=k1_card_1(k13_pre_poly(B))) ) ) ) ) ).
fof(t3_hilb10_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, B)) ) )  =>  (r1_xxreal_0(A, B) => k1_bagorder(B, k5_numbers, A, C)=k5_relat_1(C, A)) ) ) ) ) ) ) ).
fof(t4_hilb10_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k1_nat_1(A, 1)) &  (v1_funct_1(B) &  (v1_partfun1(B, k1_nat_1(A, 1)) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  => B=k1_hilbasis(k7_nat_d(A, k5_numbers), k1_recdef_1(B, A), k1_bagorder(k1_nat_1(A, 1), k5_numbers, A, B))) ) ) ) ).
fof(t5_hilb10_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v1_funct_1(C) &  (v1_partfun1(C, B) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  => k1_bagorder(k1_nat_1(B, 1), k5_numbers, B, k1_hilbasis(B, A, C))=C) ) ) ) ) ) ).
fof(d3_hilb10_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(k1_nat_1(A, 1)), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(k1_nat_1(A, 1)), u1_struct_0(B))))) )  =>  (D=k3_hilb10_2(A, B, C) <=>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k1_nat_1(A, 1)) &  (v1_funct_1(E) &  (v1_partfun1(E, k1_nat_1(A, 1)) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) )  =>  ( ( ~ (k1_recdef_1(E, A)=k5_numbers)  => k4_polynom1(k1_nat_1(A, 1), B, D, E)=k4_struct_0(B))  &  (k1_recdef_1(E, A)=k5_numbers => k4_polynom1(k1_nat_1(A, 1), B, D, E)=k1_funct_1(C, k1_bagorder(k1_nat_1(A, 1), k5_numbers, A, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_hilb10_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_struct_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) )  => k4_polynom1(k1_nat_1(A, 1), C, k3_hilb10_2(A, C, D), k1_hilbasis(A, k5_numbers, B))=k4_polynom1(A, C, D, B)) ) ) ) ) ) ) ) ).
fof(t7_hilb10_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k1_nat_1(A, 1)) &  (v1_funct_1(D) &  (v1_partfun1(D, k1_nat_1(A, 1)) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (r2_tarski(D, k3_polynom1(k15_pre_poly(k1_nat_1(A, 1)), B, k3_hilb10_2(A, B, C))) => k1_recdef_1(D, A)=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(t8_hilb10_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_struct_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) )  =>  (r2_tarski(k1_hilbasis(A, k5_numbers, B), k3_polynom1(k15_pre_poly(k1_nat_1(A, 1)), C, k3_hilb10_2(A, C, D))) <=> r2_tarski(B, k3_polynom1(k15_pre_poly(A), C, D))) ) ) ) ) ) ) ) ) ).
fof(t9_hilb10_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k1_nat_1(A, 1)) &  (v1_funct_1(D) &  (v1_partfun1(D, k1_nat_1(A, 1)) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (k1_recdef_1(D, A)=k5_numbers =>  (r2_tarski(D, k3_polynom1(k15_pre_poly(k1_nat_1(A, 1)), B, k3_hilb10_2(A, B, C))) <=> r2_tarski(k1_bagorder(k1_nat_1(A, 1), k5_numbers, A, D), k3_polynom1(k15_pre_poly(A), B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t10_hilb10_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  => k2_xboole_0(k1_tarski(k4_struct_0(B)), k2_relset_1(u1_struct_0(B), C))=k2_relset_1(u1_struct_0(B), k3_hilb10_2(A, B, C))) ) ) ) ) ) ).
fof(t11_hilb10_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  => k22_pre_poly(A, B)=k22_pre_poly(k1_nat_1(A, 1), k1_hilbasis(A, k5_numbers, B))) ) ) ) ).
fof(t12_hilb10_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  => k7_pre_poly(A, k22_pre_poly(A, B), k2_orders_1(A))=k7_pre_poly(k1_nat_1(A, 1), k22_pre_poly(k1_nat_1(A, 1), k1_hilbasis(A, k5_numbers, B)), k2_orders_1(k1_nat_1(A, 1)))) ) ) ) ).
fof(t13_hilb10_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v4_vectsp_1(C) & l6_algstr_0(C)) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(C))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_nat_1(A, 1), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_nat_1(A, 1), u1_struct_0(C))))) )  =>  (k2_partfun1(k1_nat_1(A, 1), u1_struct_0(C), E, A)=D => k1_polynom2(A, B, C, D)=k1_polynom2(k1_nat_1(A, 1), k1_hilbasis(A, k5_numbers, B), C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_hilb10_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v1_funct_1(C) &  (v1_partfun1(C, B) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) &  (v1_partfun1(D, B) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (r1_pre_poly(B, C, D) <=> r1_pre_poly(k1_nat_1(B, 1), k1_hilbasis(B, A, C), k1_hilbasis(B, A, D))) ) ) ) ) ) ) ) ) ).
fof(t15_hilb10_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(A)))  =>  (! [C] :  ( (v1_partfun1(C, A) &  (v1_relat_2(C) &  (v4_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  =>  (r3_orders_1(C, B) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, E) & r1_xxreal_0(E, k4_card_1(B))) )  => k7_partfun1(A, k7_pre_poly(A, k2_relset_1(A, k17_finseq_1(A, E, k7_pre_poly(A, B, C))), C), D)=k7_partfun1(A, k7_pre_poly(A, B, C), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_hilb10_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(k15_pre_poly(C))))  =>  ( (r2_tarski(A, k4_finseq_1(k7_pre_poly(k15_pre_poly(C), D, k17_pre_poly(C)))) & r2_tarski(B, k4_finseq_1(k7_pre_poly(k15_pre_poly(C), D, k17_pre_poly(C)))))  =>  (r1_xxreal_0(B, A) | r1_pre_poly(C, k7_partfun1(k15_pre_poly(C), k7_pre_poly(k15_pre_poly(C), D, k17_pre_poly(C)), A), k7_partfun1(k15_pre_poly(C), k7_pre_poly(k15_pre_poly(C), D, k17_pre_poly(C)), B))) ) ) ) ) ) ) ) ) ) ).
fof(t17_hilb10_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (k3_finseq_1(k7_pre_poly(k15_pre_poly(A), k3_polynom1(k15_pre_poly(A), B, C), k17_pre_poly(A)))=k3_finseq_1(k7_pre_poly(k15_pre_poly(k1_nat_1(A, 1)), k3_polynom1(k15_pre_poly(k1_nat_1(A, 1)), B, k3_hilb10_2(A, B, C)), k17_pre_poly(k1_nat_1(A, 1)))) &  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, k3_finseq_1(k7_pre_poly(k15_pre_poly(A), k3_polynom1(k15_pre_poly(A), B, C), k17_pre_poly(A)))))  => r8_pboole(k1_nat_1(A, 1), k7_partfun1(k15_pre_poly(k1_nat_1(A, 1)), k7_pre_poly(k15_pre_poly(k1_nat_1(A, 1)), k3_polynom1(k15_pre_poly(k1_nat_1(A, 1)), B, k3_hilb10_2(A, B, C)), k17_pre_poly(k1_nat_1(A, 1))), D), k1_hilbasis(A, k5_numbers, k7_partfun1(k15_pre_poly(A), k7_pre_poly(k15_pre_poly(A), k3_polynom1(k15_pre_poly(A), B, C), k17_pre_poly(A)), D)))) ) ) ) ) ) ) ) ) ) ).
fof(t18_hilb10_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_nat_1(A, 1), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_nat_1(A, 1), u1_struct_0(B))))) )  =>  (k2_partfun1(k1_nat_1(A, 1), u1_struct_0(B), E, A)=D => k2_polynom2(A, B, C, D)=k2_polynom2(k1_nat_1(A, 1), B, k3_hilb10_2(A, B, C), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_hilb10_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) & l6_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (! [E] :  ( (v2_funct_1(E) & m2_finseq_1(E, A))  =>  ~ ( (k2_relset_1(A, E)=k22_pre_poly(A, D) &  (! [F] :  (m2_finseq_1(F, u1_struct_0(B)) =>  ~ ( (k3_finseq_1(F)=k4_card_1(k22_pre_poly(A, D)) &  (k1_polynom2(A, D, B, C)=k3_group_4(B, F) &  (! [G] :  (v7_ordinal1(G) =>  ( (r1_xxreal_0(1, G) & r1_xxreal_0(G, k3_finseq_1(F)))  => k7_partfun1(u1_struct_0(B), F, G)=k9_nat_1(u1_struct_0(B), k4_group_1(B), k7_partfun1(u1_struct_0(B), k4_finseqop(A, u1_struct_0(B), E, C), G), k7_partfun1(k4_ordinal1, k23_pre_poly(A, E, D), G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_hilb10_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) & l6_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, A) &  (v3_funct_2(E, A, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  => k1_polynom2(A, D, B, C)=k1_polynom2(A, k3_relat_1(E, D), B, k1_partfun1(A, A, A, u1_struct_0(B), E, C))) ) ) ) ) ) ) ) ) ) ).
fof(d4_hilb10_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, A) &  (v3_funct_2(D, A, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (E=k4_hilb10_2(A, B, C, D) <=>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) &  (v1_partfun1(F, A) &  (v4_valued_0(F) & v2_pre_poly(F)) ) ) ) )  => k4_polynom1(A, B, E, F)=k4_polynom1(A, B, C, k3_relat_1(D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_hilb10_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, A) &  (v3_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) )  =>  (r2_tarski(E, k3_polynom1(k15_pre_poly(A), B, k4_hilb10_2(A, B, D, C))) <=> r2_tarski(k3_relat_1(C, E), k3_polynom1(k15_pre_poly(A), B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_hilb10_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, A) &  (v3_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) )  =>  (r2_tarski(k3_relat_1(k2_funct_2(A, C), E), k3_polynom1(k15_pre_poly(A), B, k4_hilb10_2(A, B, D, C))) <=> r2_tarski(E, k3_polynom1(k15_pre_poly(A), B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_hilb10_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, A) &  (v3_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  => k1_card_1(k3_polynom1(k15_pre_poly(A), B, D))=k1_card_1(k3_polynom1(k15_pre_poly(A), B, k4_hilb10_2(A, B, D, C)))) ) ) ) ) ) ) ) ).
fof(t24_hilb10_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  =>  (! [E] :  ( (v2_funct_1(E) & m2_finseq_1(E, k15_pre_poly(A)))  =>  ~ ( (k2_relset_1(k15_pre_poly(A), E)=k3_polynom1(k15_pre_poly(A), B, C) &  (! [F] :  (m2_finseq_1(F, u1_struct_0(B)) =>  ~ ( (k3_finseq_1(F)=k4_card_1(k3_polynom1(k15_pre_poly(A), B, C)) &  (k2_polynom2(A, B, C, D)=k4_rlvect_1(B, F) &  (! [G] :  (v7_ordinal1(G) =>  ( (r1_xxreal_0(1, G) & r1_xxreal_0(G, k3_finseq_1(F)))  => k7_partfun1(u1_struct_0(B), F, G)=k6_algstr_0(B, k7_partfun1(u1_struct_0(B), k4_finseqop(k15_pre_poly(A), u1_struct_0(B), E, C), G), k1_polynom2(A, k7_partfun1(k15_pre_poly(A), E, G), B, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_hilb10_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, A) &  (v3_funct_2(E, A, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  => k2_polynom2(A, B, C, D)=k2_polynom2(A, B, k4_hilb10_2(A, B, C, E), k1_partfun1(A, A, A, u1_struct_0(B), k2_funct_2(A, E), D))) ) ) ) ) ) ) ) ) ) ).
fof(t26_hilb10_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, A) &  (v3_funct_2(D, A, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  => k2_relset_1(u1_struct_0(B), k4_hilb10_2(A, B, C, D))=k2_relset_1(u1_struct_0(B), C)) ) ) ) ) ) ) ) ).
fof(t27_hilb10_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) & l6_algstr_0(C)) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(k2_xcmplx_0(A, B)), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(k2_xcmplx_0(A, B)), u1_struct_0(C))))) ) )  &  (r1_tarski(k2_relset_1(u1_struct_0(C), E), k2_xboole_0(k2_relset_1(u1_struct_0(C), D), k1_tarski(k4_struct_0(C)))) &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, u1_struct_0(C)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(C))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_xcmplx_0(A, B), u1_struct_0(C)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_xcmplx_0(A, B), u1_struct_0(C))))) )  =>  (k2_partfun1(k2_xcmplx_0(A, B), u1_struct_0(C), G, A)=F => k2_polynom2(A, C, D, F)=k2_polynom2(k2_xcmplx_0(A, B), C, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_hilb10_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v7_struct_0(D))  &  (v13_algstr_0(D) &  (v3_group_1(D) &  (v5_group_1(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(k2_xcmplx_0(B, C)), u1_struct_0(D)) &  (v1_polynom1(E, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(k2_xcmplx_0(B, C)), u1_struct_0(D))))) ) )  =>  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(k2_xcmplx_0(k2_xcmplx_0(B, A), C)), u1_struct_0(D)) &  (v1_polynom1(F, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(k2_xcmplx_0(k2_xcmplx_0(B, A), C)), u1_struct_0(D))))) ) )  &  (r1_tarski(k2_relset_1(u1_struct_0(D), F), k2_xboole_0(k2_relset_1(u1_struct_0(D), E), k1_tarski(k4_struct_0(D)))) &  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_xcmplx_0(B, C), u1_struct_0(D)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_xcmplx_0(B, C), u1_struct_0(D))))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k2_xcmplx_0(k2_xcmplx_0(B, A), C), u1_struct_0(D)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_xcmplx_0(k2_xcmplx_0(B, A), C), u1_struct_0(D))))) )  =>  ( (k2_partfun1(k2_xcmplx_0(B, C), u1_struct_0(D), G, B)=k2_partfun1(k2_xcmplx_0(k2_xcmplx_0(B, A), C), u1_struct_0(D), H, B) & k2_afinsq_2(k2_hilb10_2(k2_xcmplx_0(B, C), u1_struct_0(D), G), B)=k2_afinsq_2(k2_hilb10_2(k2_xcmplx_0(k2_xcmplx_0(B, A), C), u1_struct_0(D), H), k2_xcmplx_0(B, A)))  => k2_polynom2(k2_xcmplx_0(B, C), D, E, G)=k2_polynom2(k2_xcmplx_0(k2_xcmplx_0(B, A), C), D, F, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_hilb10_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (C=k5_hilb10_2(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (v1_relat_1(D) &  (v5_relat_1(D, A) &  (v1_funct_1(D) &  (v5_ordinal1(D) &  (v1_finset_1(D) & v3_card_1(D, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_hilb10_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k5_hilb10_2(k4_ordinal1, A))) =>  (v1_hilb10_2(B, A) <=>  (? [C] :  (v7_ordinal1(C) &  (? [D] :  ( (v5_relat_1(D, k4_numbers) &  (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(k2_xcmplx_0(A, C)), u1_struct_0(k2_vectsp_1)) &  (v1_polynom1(D, k2_vectsp_1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(k2_xcmplx_0(A, C)), u1_struct_0(k2_vectsp_1))))) ) ) )  &  (! [E] :  (r2_hidden(E, B) <=>  (? [F] :  ( (v1_relat_1(F) &  (v5_relat_1(F, k4_ordinal1) &  (v1_funct_1(F) &  (v5_ordinal1(F) &  (v1_finset_1(F) & v3_card_1(F, A)) ) ) ) )  &  (? [G] :  ( (v1_relat_1(G) &  (v5_relat_1(G, k4_ordinal1) &  (v1_funct_1(G) &  (v5_ordinal1(G) &  (v1_finset_1(G) & v3_card_1(G, C)) ) ) ) )  &  (E=F & k2_polynom2(k2_xcmplx_0(A, C), k2_vectsp_1, D, k1_hilb10_2(k2_xcmplx_0(A, C), k1_ordinal4(F, G)))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_hilb10_2, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) &  (v1_finset_1(B) &  (v3_card_1(B, A) & v3_valued_0(B)) ) ) ) ) )  =>  (v1_funct_1(k1_hilb10_2(A, B)) &  (v1_funct_2(k1_hilb10_2(A, B), A, u1_struct_0(k2_vectsp_1)) & m1_subset_1(k1_hilb10_2(A, B), k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k2_vectsp_1))))) ) ) ) ).
fof(dt_k2_hilb10_2, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) )  =>  (v1_relat_1(k2_hilb10_2(A, B, C)) &  (v5_relat_1(k2_hilb10_2(A, B, C), B) &  (v1_funct_1(k2_hilb10_2(A, B, C)) &  (v5_ordinal1(k2_hilb10_2(A, B, C)) &  (v1_finset_1(k2_hilb10_2(A, B, C)) & v3_card_1(k2_hilb10_2(A, B, C), A)) ) ) ) ) ) ) ).
fof(dt_k3_hilb10_2, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) )  =>  (v1_funct_1(k3_hilb10_2(A, B, C)) &  (v1_funct_2(k3_hilb10_2(A, B, C), k15_pre_poly(k1_nat_1(A, 1)), u1_struct_0(B)) & m1_subset_1(k3_hilb10_2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(k1_nat_1(A, 1)), u1_struct_0(B))))) ) ) ) ).
fof(dt_k4_hilb10_2, axiom,  (! [A, B, C, D] :  ( (v3_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, A, A) &  (v3_funct_2(D, A, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) )  =>  (v1_funct_1(k4_hilb10_2(A, B, C, D)) &  (v1_funct_2(k4_hilb10_2(A, B, C, D), k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(k4_hilb10_2(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) ) ).
fof(dt_k5_hilb10_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & v7_ordinal1(B))  => m1_subset_1(k5_hilb10_2(A, B), k1_zfmisc_1(k8_afinsq_1(A)))) ) ).
fof(fc1_hilbasis, axiom,  (! [A, B, C] :  ( (v3_ordinal1(A) &  (m1_subset_1(B, A) &  ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_vectsp_1(C) &  (v4_vectsp_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) )  =>  (v1_funct_1(k3_hilbasis(A, B, C)) &  (v1_funct_2(k3_hilbasis(A, B, C), k15_pre_poly(A), u1_struct_0(C)) & v1_polynom1(k3_hilbasis(A, B, C), C)) ) ) ) ).
fof(fc2_hilbasis, axiom,  (! [A, B] :  ( ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  & v7_ordinal1(B))  =>  (v1_funct_1(k6_hilbasis(A, B)) &  (v1_funct_2(k6_hilbasis(A, B), u1_struct_0(k13_polynom3(k12_polynom1(B, A))), u1_struct_0(k12_polynom1(k1_nat_1(B, 1), A))) & v13_vectsp_1(k6_hilbasis(A, B), k13_polynom3(k12_polynom1(B, A)), k12_polynom1(k1_nat_1(B, 1), A))) ) ) ) ).
fof(fc3_hilbasis, axiom,  (! [A, B] :  ( ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  & v7_ordinal1(B))  =>  (v1_funct_1(k6_hilbasis(A, B)) &  (v1_funct_2(k6_hilbasis(A, B), u1_struct_0(k13_polynom3(k12_polynom1(B, A))), u1_struct_0(k12_polynom1(k1_nat_1(B, 1), A))) & v1_group_6(k6_hilbasis(A, B), k13_polynom3(k12_polynom1(B, A)), k12_polynom1(k1_nat_1(B, 1), A))) ) ) ) ).
fof(fc4_hilbasis, axiom,  (! [A, B] :  ( ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  & v7_ordinal1(B))  =>  (v1_funct_1(k6_hilbasis(A, B)) &  (v1_funct_2(k6_hilbasis(A, B), u1_struct_0(k13_polynom3(k12_polynom1(B, A))), u1_struct_0(k12_polynom1(k1_nat_1(B, 1), A))) & v6_group_1(k6_hilbasis(A, B), k13_polynom3(k12_polynom1(B, A)), k12_polynom1(k1_nat_1(B, 1), A))) ) ) ) ).
fof(fc5_hilbasis, axiom,  (! [A, B] :  ( ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  & v7_ordinal1(B))  =>  (v1_funct_1(k6_hilbasis(A, B)) &  (v2_funct_1(k6_hilbasis(A, B)) & v1_funct_2(k6_hilbasis(A, B), u1_struct_0(k13_polynom3(k12_polynom1(B, A))), u1_struct_0(k12_polynom1(k1_nat_1(B, 1), A)))) ) ) ) ).
fof(fc6_hilbasis, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v6_ideal_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k13_polynom3(A)))  &  (v36_algstr_0(k13_polynom3(A)) & v6_ideal_1(k13_polynom3(A))) ) ) ) ).
fof(t1_hilbasis, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ~ ( (r1_tarski(k2_xboole_0(k10_xtuple_0(A), k10_xtuple_0(B)), k9_xtuple_0(C)) &  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  ~ ( (D=k3_relat_1(A, C) &  (E=k3_relat_1(B, C) & k3_relat_1(k7_finseq_1(A, B), C)=k7_finseq_1(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_hilbasis, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k1_xboole_0) &  (v1_funct_1(A) &  (v1_partfun1(A, k1_xboole_0) &  (v4_valued_0(A) & v2_pre_poly(A)) ) ) ) )  => k21_pre_poly(k1_xboole_0, A)=k9_finseq_1(k10_finseq_1(k1_xboole_0, k1_xboole_0))) ) ).
fof(t3_hilbasis, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v1_funct_1(C) &  (v1_partfun1(C, B) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (r1_xxreal_0(A, B) => m2_subset_1(k5_relat_1(C, A), k14_pre_poly(A), k15_pre_poly(A))) ) ) ) ) ) ) ).
fof(t4_hilbasis, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v1_funct_1(C) &  (v1_partfun1(C, B) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) &  (v1_partfun1(D, B) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) &  (v1_partfun1(F, A) &  (v4_valued_0(F) & v2_pre_poly(F)) ) ) ) )  =>  ( (E=k5_relat_1(C, A) &  (F=k5_relat_1(D, A) & r3_pre_poly(B, C, D)) )  => r3_pre_poly(A, E, F)) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_hilbasis, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v1_funct_1(C) &  (v1_partfun1(C, B) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) &  (v1_partfun1(D, B) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) &  (v1_partfun1(F, A) &  (v4_valued_0(F) & v2_pre_poly(F)) ) ) ) )  =>  ( (E=k5_relat_1(C, A) & F=k5_relat_1(D, A))  =>  (k5_relat_1(k12_pre_poly(B, C, D), A)=k12_pre_poly(A, E, F) & k5_relat_1(k11_pre_poly(B, C, D), A)=k11_pre_poly(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_hilbasis, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k14_pre_poly(k1_nat_1(A, 1)), k15_pre_poly(k1_nat_1(A, 1))) =>  (D=k1_hilbasis(A, B, C) <=>  (k5_relat_1(D, A)=C & k1_recdef_1(D, A)=B) ) ) ) ) ) ) ) ) ) ).
fof(t6_hilbasis, axiom,  (! [A] :  (v7_ordinal1(A) => k16_pre_poly(k1_nat_1(A, 1))=k1_hilbasis(A, k5_numbers, k16_pre_poly(A))) ) ).
fof(t7_hilbasis, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (r2_tarski(C, k2_relset_1(k15_pre_poly(A), k20_pre_poly(A, B))) <=> r3_pre_poly(A, C, B)) ) ) ) ) ) ) ).
fof(d2_hilbasis, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, A) => k2_hilbasis(A, B)=k1_funct_7(k16_pre_poly(A), B, 1)) ) ) ).
fof(t8_hilbasis, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) => k22_pre_poly(A, k2_hilbasis(A, B))=k6_domain_1(A, B)) ) ) ) ).
fof(t9_hilbasis, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (k1_recdef_1(k2_hilbasis(A, B), B)=1 &  (! [C] :  (m1_subset_1(C, A) =>  ( ~ (B=C)  => k1_recdef_1(k2_hilbasis(A, B), C)=k5_numbers) ) ) ) ) ) ) ) ).
fof(t10_hilbasis, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (k2_hilbasis(A, B)=k2_hilbasis(A, C) => B=C) ) ) ) ) ) ) ).
fof(t11_hilbasis, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v3_ordinal1(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v4_vectsp_1(C) & l6_algstr_0(C)) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(C))))) )  => k1_polynom2(A, k2_hilbasis(A, B), C, D)=k3_funct_2(A, u1_struct_0(C), D, B)) ) ) ) ) ) ) ) ).
fof(d3_hilbasis, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v1_group_1(C) & l5_algstr_0(C)) )  => k3_hilbasis(A, B, C)=k14_funct_7(k15_pre_poly(A), u1_struct_0(C), k8_polynom1(A, C), k2_hilbasis(A, B), k1_group_1(C))) ) ) ) ) ).
fof(t12_hilbasis, axiom,  (! [A] :  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v1_group_1(B) & l6_algstr_0(B)) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (k4_polynom1(A, B, k3_hilbasis(A, C, B), k2_hilbasis(A, C))=k1_group_1(B) &  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  ( ~ (D=k2_hilbasis(A, C))  => k4_polynom1(A, B, k3_hilbasis(A, C, B), D)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ).
fof(t13_hilbasis, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_vectsp_1(C) &  (v4_vectsp_1(C) & l6_algstr_0(C)) ) ) ) ) )  => k3_polynom1(k15_pre_poly(A), C, k3_hilbasis(A, B, C))=k6_domain_1(k15_pre_poly(A), k2_hilbasis(A, B))) ) ) ) ) ).
fof(t14_hilbasis, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v4_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (m1_subset_1(D, B) =>  (r2_funct_2(k15_pre_poly(B), u1_struct_0(A), k3_hilbasis(B, C, A), k3_hilbasis(B, D, A)) => C=D) ) ) ) ) ) ) ) ) ).
fof(t15_hilbasis, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (B=C => k4_algstr_0(k13_polynom3(A), B)=k5_vfunct_1(k4_ordinal1, A, C)) ) ) ) ) ) ) ).
fof(t16_hilbasis, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k13_polynom3(A))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (B=D & C=E)  => k5_algstr_0(k13_polynom3(A), B, C)=k2_normsp_1(A, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_hilbasis, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k13_polynom3(A)))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ( (r2_tarski(C, k4_hilbasis(A, B)) & r2_tarski(D, B))  =>  (r2_tarski(C, B) & r1_xxreal_0(k1_algseq_1(A, C), k1_algseq_1(A, D))) ) ) ) ) ) ) ) ) ) ).
fof(d5_hilbasis, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (D=k5_hilbasis(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) =>  ( (E=B => k8_nat_1(u1_struct_0(A), D, E)=C)  &  ( ~ (E=B)  => k8_nat_1(u1_struct_0(A), D, E)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_hilbasis, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ( ~ (C=k4_struct_0(A))  => k1_algseq_1(A, k5_hilbasis(A, B, C))=k1_nat_1(B, 1))  &  ( (C=k4_struct_0(A) => k1_algseq_1(A, k5_hilbasis(A, B, C))=k5_numbers)  & r1_xxreal_0(k1_algseq_1(A, k5_hilbasis(A, B, C)), k1_nat_1(B, 1))) ) ) ) ) ) ) ) ).
fof(t19_hilbasis, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(E, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => k3_funct_2(k4_ordinal1, u1_struct_0(A), k11_polynom3(A, k5_hilbasis(A, B, D), E), k1_nat_1(C, B))=k6_algstr_0(A, D, k3_funct_2(k4_ordinal1, u1_struct_0(A), E, C))) ) ) ) ) ) ) ) ) ) ).
fof(t20_hilbasis, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(E, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => k3_funct_2(k4_ordinal1, u1_struct_0(A), k11_polynom3(A, E, k5_hilbasis(A, B, D)), k1_nat_1(C, B))=k6_algstr_0(A, k3_funct_2(k4_ordinal1, u1_struct_0(A), E, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(t21_hilbasis, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => r1_xxreal_0(k1_algseq_1(A, k11_polynom3(A, B, C)), k7_nat_d(k1_nat_1(k1_algseq_1(A, B), k1_algseq_1(A, C)), 1))) ) ) ) ) ) ).
fof(t22_hilbasis, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l6_algstr_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_ideal_1(C, A) &  (v2_ideal_1(C, A) &  (v3_ideal_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v7_mod_4(D, A, B) =>  ( ~ (v1_xboole_0(k7_relset_1(u1_struct_0(A), u1_struct_0(B), D, C)))  &  (v1_ideal_1(k7_relset_1(u1_struct_0(A), u1_struct_0(B), D, C), B) &  (v2_ideal_1(k7_relset_1(u1_struct_0(A), u1_struct_0(B), D, C), B) &  (v3_ideal_1(k7_relset_1(u1_struct_0(A), u1_struct_0(B), D, C), B) & m1_subset_1(k7_relset_1(u1_struct_0(A), u1_struct_0(B), D, C), k1_zfmisc_1(u1_struct_0(B)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_hilbasis, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v1_ringcat1(C, A, B) => k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k4_struct_0(A))=k4_struct_0(B)) ) ) ) ) ) ) ).
fof(t24_hilbasis, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [F] :  (m1_ideal_1(F, A, C) =>  (! [G] :  (m1_ideal_1(G, B, D) =>  (! [H] :  (m2_finseq_1(H, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) =>  ( (v1_ringcat1(E, A, B) &  (k3_finseq_1(F)=k3_finseq_1(G) &  (r1_ideal_1(A, C, F, H) &  (! [I] :  (r2_tarski(I, k4_finseq_1(G)) => k1_funct_1(G, I)=k6_algstr_0(B, k6_algstr_0(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), E, k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), k7_partfun1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), H, I))), k3_funct_2(u1_struct_0(A), u1_struct_0(B), E, k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), k7_partfun1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), H, I)))), k3_funct_2(u1_struct_0(A), u1_struct_0(B), E, k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), k7_partfun1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), H, I))))) ) ) ) )  => k3_funct_2(u1_struct_0(A), u1_struct_0(B), E, k4_rlvect_1(A, F))=k4_rlvect_1(B, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_hilbasis, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l6_algstr_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v7_mod_4(C, A, B) => v7_mod_4(k2_tops_2(u1_struct_0(A), u1_struct_0(B), C), B, A)) ) ) ) ) ) ) ).
fof(t26_hilbasis, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v7_mod_4(D, A, B) => k7_relset_1(u1_struct_0(A), u1_struct_0(B), D, k7_ideal_1(A, C))=k7_ideal_1(B, k7_relset_1(u1_struct_0(A), u1_struct_0(B), D, C))) ) ) ) ) ) ) ) ) ).
fof(t27_hilbasis, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ( (v7_mod_4(C, A, B) & v6_ideal_1(A))  => v6_ideal_1(B)) ) ) ) ) ) ) ).
fof(t28_hilbasis, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k12_polynom1(k5_numbers, A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k12_polynom1(k5_numbers, A)))))) )  & v7_mod_4(B, A, k12_polynom1(k5_numbers, A))) ) ) ) ).
fof(t29_hilbasis, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v1_funct_1(C) &  (v1_partfun1(C, B) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(B), u1_struct_0(A)) &  (v1_polynom1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B), u1_struct_0(A))))) ) )  =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(k12_polynom1(B, A))) =>  ~ ( (D=k4_rlvect_1(k12_polynom1(B, A), E) &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k12_polynom1(B, A)), u1_struct_0(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k12_polynom1(B, A)), u1_struct_0(A))))) )  =>  ~ ( ( (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k15_pre_poly(B), u1_struct_0(A)) &  (v1_polynom1(G, A) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B), u1_struct_0(A))))) ) )  => k1_funct_1(F, G)=k4_polynom1(B, A, G, C)) )  & k4_polynom1(B, A, D, C)=k4_rlvect_1(A, k4_finseqop(u1_struct_0(k12_polynom1(B, A)), u1_struct_0(A), E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_hilbasis, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k13_polynom3(k12_polynom1(B, A))), u1_struct_0(k12_polynom1(k1_nat_1(B, 1), A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k13_polynom3(k12_polynom1(B, A))), u1_struct_0(k12_polynom1(k1_nat_1(B, 1), A)))))) )  =>  (C=k6_hilbasis(A, B) <=>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(k12_polynom1(B, A))) &  (v1_polynom1(D, k12_polynom1(B, A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k12_polynom1(B, A)))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(B), u1_struct_0(A)) &  (v1_polynom1(E, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B), u1_struct_0(A))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(k1_nat_1(B, 1)), u1_struct_0(A)) &  (v1_polynom1(F, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(k1_nat_1(B, 1)), u1_struct_0(A))))) ) )  =>  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, k1_nat_1(B, 1)) &  (v1_funct_1(G) &  (v1_partfun1(G, k1_nat_1(B, 1)) &  (v4_valued_0(G) & v2_pre_poly(G)) ) ) ) )  =>  ( (F=k1_funct_1(C, D) & E=k3_funct_2(k4_ordinal1, u1_struct_0(k12_polynom1(B, A)), D, k1_recdef_1(G, B)))  => k4_polynom1(k1_nat_1(B, 1), A, F, G)=k1_funct_1(E, k5_relat_1(G, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_hilbasis, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k12_polynom1(k1_nat_1(B, 1), A)), u1_struct_0(k13_polynom3(k12_polynom1(B, A)))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k12_polynom1(k1_nat_1(B, 1), A)), u1_struct_0(k13_polynom3(k12_polynom1(B, A))))))) )  =>  (C=k7_hilbasis(A, B) <=>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(k1_nat_1(B, 1)), u1_struct_0(A)) &  (v1_polynom1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(k1_nat_1(B, 1)), u1_struct_0(A))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(B), u1_struct_0(A)) &  (v1_polynom1(E, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B), u1_struct_0(A))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, u1_struct_0(k12_polynom1(B, A))) &  (v1_polynom1(F, k12_polynom1(B, A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k12_polynom1(B, A)))))) ) )  =>  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  (! [H] :  ( (v1_relat_1(H) &  (v4_relat_1(H, B) &  (v1_funct_1(H) &  (v1_partfun1(H, B) &  (v4_valued_0(H) & v2_pre_poly(H)) ) ) ) )  =>  ( (F=k1_funct_1(C, D) & E=k3_funct_2(k4_ordinal1, u1_struct_0(k12_polynom1(B, A)), F, G))  => k4_polynom1(B, A, E, H)=k4_polynom1(k1_nat_1(B, 1), A, D, k1_hilbasis(B, G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_hilbasis, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k12_polynom1(k1_nat_1(B, 1), A))) => k3_funct_2(u1_struct_0(k13_polynom3(k12_polynom1(B, A))), u1_struct_0(k12_polynom1(k1_nat_1(B, 1), A)), k6_hilbasis(A, B), k3_funct_2(u1_struct_0(k12_polynom1(k1_nat_1(B, 1), A)), u1_struct_0(k13_polynom3(k12_polynom1(B, A))), k7_hilbasis(A, B), C))=C) ) ) ) ) ) ).
fof(t31_hilbasis, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k13_polynom3(k12_polynom1(B, A))), u1_struct_0(k12_polynom1(k1_nat_1(B, 1), A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k13_polynom3(k12_polynom1(B, A))), u1_struct_0(k12_polynom1(k1_nat_1(B, 1), A)))))) )  & v7_mod_4(C, k13_polynom3(k12_polynom1(B, A)), k12_polynom1(k1_nat_1(B, 1), A))) ) ) ) ) ) ).
fof(t32_hilbasis, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (v6_ideal_1(A) =>  (! [B] :  (v7_ordinal1(B) => v6_ideal_1(k12_polynom1(B, A))) ) ) ) ) ).
fof(t33_hilbasis, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  => v6_ideal_1(A)) ) ).
fof(t34_hilbasis, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => v6_ideal_1(k12_polynom1(B, A))) ) ) ) ).
fof(t35_hilbasis, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v3_ordinal1(B) &  ~ (v1_finset_1(B)) )  =>  ~ (v6_ideal_1(k12_polynom1(B, A))) ) ) ) ) ).
fof(dt_k1_hilbasis, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) ) ) )  => m2_subset_1(k1_hilbasis(A, B, C), k14_pre_poly(k1_nat_1(A, 1)), k15_pre_poly(k1_nat_1(A, 1)))) ) ).
fof(dt_k2_hilbasis, axiom,  (! [A, B] :  (m1_subset_1(B, A) => m2_subset_1(k2_hilbasis(A, B), k14_pre_poly(A), k15_pre_poly(A))) ) ).
fof(dt_k3_hilbasis, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, A) &  ( ~ (v2_struct_0(C))  &  (v1_group_1(C) & l5_algstr_0(C)) ) )  =>  (v1_funct_1(k3_hilbasis(A, B, C)) &  (v1_funct_2(k3_hilbasis(A, B, C), k15_pre_poly(A), u1_struct_0(C)) & m1_subset_1(k3_hilbasis(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) ) ).
fof(dt_k4_hilbasis, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k13_polynom3(A))))) )  =>  ( ~ (v1_xboole_0(k4_hilbasis(A, B)))  & m1_subset_1(k4_hilbasis(A, B), k1_zfmisc_1(B))) ) ) ).
fof(dt_k5_hilbasis, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  &  (v7_ordinal1(B) & m1_subset_1(C, u1_struct_0(A))) )  =>  (v1_funct_1(k5_hilbasis(A, B, C)) &  (v1_funct_2(k5_hilbasis(A, B, C), k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(k5_hilbasis(A, B, C), A) & m1_subset_1(k5_hilbasis(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ) ).
fof(dt_k6_hilbasis, axiom,  (! [A, B] :  ( ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  & v7_ordinal1(B))  =>  (v1_funct_1(k6_hilbasis(A, B)) &  (v1_funct_2(k6_hilbasis(A, B), u1_struct_0(k13_polynom3(k12_polynom1(B, A))), u1_struct_0(k12_polynom1(k1_nat_1(B, 1), A))) & m1_subset_1(k6_hilbasis(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k13_polynom3(k12_polynom1(B, A))), u1_struct_0(k12_polynom1(k1_nat_1(B, 1), A)))))) ) ) ) ).
fof(dt_k7_hilbasis, axiom,  (! [A, B] :  ( ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  & v7_ordinal1(B))  =>  (v1_funct_1(k7_hilbasis(A, B)) &  (v1_funct_2(k7_hilbasis(A, B), u1_struct_0(k12_polynom1(k1_nat_1(B, 1), A)), u1_struct_0(k13_polynom3(k12_polynom1(B, A)))) & m1_subset_1(k7_hilbasis(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k12_polynom1(k1_nat_1(B, 1), A)), u1_struct_0(k13_polynom3(k12_polynom1(B, A))))))) ) ) ) ).
fof(d4_hilbasis, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k13_polynom3(A)))))  => k4_hilbasis(A, B)=a_2_0_hilbasis(A, B)) ) ) ) ).
fof(fraenkel_a_2_0_hilbasis, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) )  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k13_polynom3(B))))) )  =>  (r2_hidden(A, a_2_0_hilbasis(B, C)) <=>  (? [D] :  (m2_subset_1(D, u1_struct_0(k13_polynom3(B)), C) &  (A=D &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(E, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(F, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) )  =>  ( (E=D & r2_tarski(F, C))  => r1_xxreal_0(k1_algseq_1(B, E), k1_algseq_1(B, F))) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_hilbert1, axiom,  (! [A] :  (v5_hilbert1(A) =>  ( ~ (v1_xboole_0(A))  &  (v1_hilbert1(A) &  (v2_hilbert1(A) &  (v3_hilbert1(A) & v4_hilbert1(A)) ) ) ) ) ) ).
fof(cc2_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k13_finseq_1(k4_ordinal1))) =>  ( (v1_hilbert1(A) &  (v2_hilbert1(A) &  (v3_hilbert1(A) & v4_hilbert1(A)) ) )  => v5_hilbert1(A)) ) ) ).
fof(fc1_hilbert1, axiom, v5_hilbert1(k1_hilbert1)).
fof(rc1_hilbert1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v5_hilbert1(A)) ) ).
fof(fc2_hilbert1, axiom, v4_funct_1(k1_hilbert1)).
fof(cc3_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) => v1_finseq_1(A)) ) ).
fof(fc3_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) => v6_hilbert1(k5_hilbert1(A))) ) ).
fof(fc4_hilbert1, axiom, v6_hilbert1(k6_hilbert1)).
fof(d1_hilbert1, axiom,  (! [A] :  (v1_hilbert1(A) <=> r2_tarski(k12_finseq_1(k4_ordinal1, k5_numbers), A)) ) ).
fof(d2_hilbert1, axiom,  (! [A] :  (v2_hilbert1(A) <=>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ( (r2_tarski(B, A) & r2_tarski(C, A))  => r2_tarski(k7_finseq_1(k7_finseq_1(k12_finseq_1(k4_ordinal1, 1), B), C), A)) ) ) ) ) ) ) ).
fof(d3_hilbert1, axiom,  (! [A] :  (v3_hilbert1(A) <=>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ( (r2_tarski(B, A) & r2_tarski(C, A))  => r2_tarski(k7_finseq_1(k7_finseq_1(k12_finseq_1(k4_ordinal1, 2), B), C), A)) ) ) ) ) ) ) ).
fof(d4_hilbert1, axiom,  (! [A] :  (v4_hilbert1(A) <=>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => r2_tarski(k12_finseq_1(k4_ordinal1, k1_nat_1(3, B)), A)) ) ) ) ).
fof(d5_hilbert1, axiom,  (! [A] :  (v5_hilbert1(A) <=>  (r1_tarski(A, k13_finseq_1(k4_ordinal1)) &  (v1_hilbert1(A) &  (v2_hilbert1(A) &  (v3_hilbert1(A) & v4_hilbert1(A)) ) ) ) ) ) ).
fof(d6_hilbert1, axiom,  (! [A] :  (A=k1_hilbert1 <=>  (v5_hilbert1(A) &  (! [B] :  (v5_hilbert1(B) => r1_tarski(A, B)) ) ) ) ) ).
fof(d7_hilbert1, axiom, k2_hilbert1=k12_finseq_1(k4_ordinal1, k5_numbers)).
fof(d8_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) => k3_hilbert1(A, B)=k7_finseq_1(k7_finseq_1(k12_finseq_1(k4_ordinal1, 1), A), B)) ) ) ) ).
fof(d9_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) => k4_hilbert1(A, B)=k7_finseq_1(k7_finseq_1(k12_finseq_1(k4_ordinal1, 2), A), B)) ) ) ) ).
fof(d10_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) =>  (v6_hilbert1(A) <=>  (r2_tarski(k2_hilbert1, A) &  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (! [D] :  (m1_subset_1(D, k1_hilbert1) =>  (r2_tarski(k3_hilbert1(B, k3_hilbert1(C, B)), A) &  (r2_tarski(k3_hilbert1(k3_hilbert1(B, k3_hilbert1(C, D)), k3_hilbert1(k3_hilbert1(B, C), k3_hilbert1(B, D))), A) &  (r2_tarski(k3_hilbert1(k4_hilbert1(B, C), B), A) &  (r2_tarski(k3_hilbert1(k4_hilbert1(B, C), C), A) &  (r2_tarski(k3_hilbert1(B, k3_hilbert1(C, k4_hilbert1(B, C))), A) &  ( (r2_tarski(B, A) & r2_tarski(k3_hilbert1(B, C), A))  => r2_tarski(C, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  (B=k5_hilbert1(A) <=>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (r2_tarski(C, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_hilbert1)) =>  ( (v6_hilbert1(D) & r1_tarski(A, D))  => r2_tarski(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_hilbert1, axiom, k6_hilbert1=k5_hilbert1(k1_subset_1(k1_hilbert1))).
fof(t1_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) => r2_tarski(k2_hilbert1, k5_hilbert1(A))) ) ).
fof(t2_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) => r2_tarski(k3_hilbert1(B, k3_hilbert1(C, k4_hilbert1(B, C))), k5_hilbert1(A))) ) ) ) ) ) ).
fof(t3_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (! [D] :  (m1_subset_1(D, k1_hilbert1) => r2_tarski(k3_hilbert1(k3_hilbert1(B, k3_hilbert1(C, D)), k3_hilbert1(k3_hilbert1(B, C), k3_hilbert1(B, D))), k5_hilbert1(A))) ) ) ) ) ) ) ) ).
fof(t4_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) => r2_tarski(k3_hilbert1(B, k3_hilbert1(C, B)), k5_hilbert1(A))) ) ) ) ) ) ).
fof(t5_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) => r2_tarski(k3_hilbert1(k4_hilbert1(B, C), B), k5_hilbert1(A))) ) ) ) ) ) ).
fof(t6_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) => r2_tarski(k3_hilbert1(k4_hilbert1(B, C), C), k5_hilbert1(A))) ) ) ) ) ) ).
fof(t7_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  ( (r2_tarski(B, k5_hilbert1(A)) & r2_tarski(k3_hilbert1(B, C), k5_hilbert1(A)))  => r2_tarski(C, k5_hilbert1(A))) ) ) ) ) ) ) ).
fof(t8_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  ( (v6_hilbert1(A) & r1_tarski(B, A))  => r1_tarski(k5_hilbert1(B), A)) ) ) ) ) ).
fof(t9_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) => r1_tarski(A, k5_hilbert1(A))) ) ).
fof(t10_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  (r1_tarski(A, B) => r1_tarski(k5_hilbert1(A), k5_hilbert1(B))) ) ) ) ) ).
fof(t11_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) => k5_hilbert1(k5_hilbert1(A))=k5_hilbert1(A)) ) ).
fof(t12_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) =>  (v6_hilbert1(A) <=> k5_hilbert1(A)=A) ) ) ).
fof(t13_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) =>  (v6_hilbert1(A) => r1_tarski(k6_hilbert1, A)) ) ) ).
fof(t14_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) => r2_tarski(k3_hilbert1(A, A), k6_hilbert1)) ) ).
fof(t15_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (r2_tarski(B, k6_hilbert1) => r2_tarski(k3_hilbert1(A, B), k6_hilbert1)) ) ) ) ) ).
fof(t16_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) => r2_tarski(k3_hilbert1(A, k2_hilbert1), k6_hilbert1)) ) ).
fof(t17_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) => r2_tarski(k3_hilbert1(k3_hilbert1(A, B), k3_hilbert1(A, A)), k6_hilbert1)) ) ) ) ).
fof(t18_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) => r2_tarski(k3_hilbert1(k3_hilbert1(B, A), k3_hilbert1(A, A)), k6_hilbert1)) ) ) ) ).
fof(t19_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) => r2_tarski(k3_hilbert1(k3_hilbert1(B, C), k3_hilbert1(k3_hilbert1(A, B), k3_hilbert1(A, C))), k6_hilbert1)) ) ) ) ) ) ).
fof(t20_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (r2_tarski(k3_hilbert1(A, k3_hilbert1(B, C)), k6_hilbert1) => r2_tarski(k3_hilbert1(B, k3_hilbert1(A, C)), k6_hilbert1)) ) ) ) ) ) ) ).
fof(t21_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) => r2_tarski(k3_hilbert1(k3_hilbert1(A, B), k3_hilbert1(k3_hilbert1(B, C), k3_hilbert1(A, C))), k6_hilbert1)) ) ) ) ) ) ).
fof(t22_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (r2_tarski(k3_hilbert1(A, B), k6_hilbert1) => r2_tarski(k3_hilbert1(k3_hilbert1(B, C), k3_hilbert1(A, C)), k6_hilbert1)) ) ) ) ) ) ) ).
fof(t23_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  ( (r2_tarski(k3_hilbert1(A, B), k6_hilbert1) & r2_tarski(k3_hilbert1(B, C), k6_hilbert1))  => r2_tarski(k3_hilbert1(A, C), k6_hilbert1)) ) ) ) ) ) ) ).
fof(t24_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (! [D] :  (m1_subset_1(D, k1_hilbert1) => r2_tarski(k3_hilbert1(k3_hilbert1(A, k3_hilbert1(B, C)), k3_hilbert1(k3_hilbert1(D, B), k3_hilbert1(A, k3_hilbert1(D, C)))), k6_hilbert1)) ) ) ) ) ) ) ) ).
fof(t25_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) => r2_tarski(k3_hilbert1(k3_hilbert1(k3_hilbert1(A, B), C), k3_hilbert1(B, C)), k6_hilbert1)) ) ) ) ) ) ).
fof(t26_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) => r2_tarski(k3_hilbert1(k3_hilbert1(A, k3_hilbert1(B, C)), k3_hilbert1(B, k3_hilbert1(A, C))), k6_hilbert1)) ) ) ) ) ) ).
fof(t27_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) => r2_tarski(k3_hilbert1(k3_hilbert1(A, k3_hilbert1(A, B)), k3_hilbert1(A, B)), k6_hilbert1)) ) ) ) ).
fof(t28_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) => r2_tarski(k3_hilbert1(B, k3_hilbert1(k3_hilbert1(B, A), A)), k6_hilbert1)) ) ) ) ).
fof(t29_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  ( (r2_tarski(k3_hilbert1(C, k3_hilbert1(B, A)), k6_hilbert1) & r2_tarski(B, k6_hilbert1))  => r2_tarski(k3_hilbert1(C, A), k6_hilbert1)) ) ) ) ) ) ) ).
fof(t30_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) => r2_tarski(k3_hilbert1(A, k4_hilbert1(A, A)), k6_hilbert1)) ) ).
fof(t31_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (r2_tarski(k4_hilbert1(A, B), k6_hilbert1) <=>  (r2_tarski(A, k6_hilbert1) & r2_tarski(B, k6_hilbert1)) ) ) ) ) ) ).
fof(t32_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (r2_tarski(k4_hilbert1(A, B), k6_hilbert1) => r2_tarski(k4_hilbert1(B, A), k6_hilbert1)) ) ) ) ) ).
fof(t33_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) => r2_tarski(k3_hilbert1(k3_hilbert1(k4_hilbert1(A, B), C), k3_hilbert1(A, k3_hilbert1(B, C))), k6_hilbert1)) ) ) ) ) ) ).
fof(t34_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) => r2_tarski(k3_hilbert1(k3_hilbert1(A, k3_hilbert1(B, C)), k3_hilbert1(k4_hilbert1(A, B), C)), k6_hilbert1)) ) ) ) ) ) ).
fof(t35_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) => r2_tarski(k3_hilbert1(k3_hilbert1(C, A), k3_hilbert1(k3_hilbert1(C, B), k3_hilbert1(C, k4_hilbert1(A, B)))), k6_hilbert1)) ) ) ) ) ) ).
fof(t36_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) => r2_tarski(k3_hilbert1(k4_hilbert1(k3_hilbert1(A, B), A), B), k6_hilbert1)) ) ) ) ).
fof(t37_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) => r2_tarski(k3_hilbert1(k4_hilbert1(k4_hilbert1(k3_hilbert1(A, B), A), C), B), k6_hilbert1)) ) ) ) ) ) ).
fof(t38_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) => r2_tarski(k3_hilbert1(k3_hilbert1(B, C), k3_hilbert1(k4_hilbert1(A, B), C)), k6_hilbert1)) ) ) ) ) ) ).
fof(t39_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) => r2_tarski(k3_hilbert1(k3_hilbert1(B, C), k3_hilbert1(k4_hilbert1(B, A), C)), k6_hilbert1)) ) ) ) ) ) ).
fof(t40_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) => r2_tarski(k3_hilbert1(k3_hilbert1(k4_hilbert1(A, C), B), k3_hilbert1(k4_hilbert1(A, C), k4_hilbert1(B, C))), k6_hilbert1)) ) ) ) ) ) ).
fof(t41_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) => r2_tarski(k3_hilbert1(k3_hilbert1(A, B), k3_hilbert1(k4_hilbert1(A, C), k4_hilbert1(B, C))), k6_hilbert1)) ) ) ) ) ) ).
fof(t42_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) => r2_tarski(k3_hilbert1(k4_hilbert1(k3_hilbert1(A, B), k4_hilbert1(A, C)), k4_hilbert1(B, C)), k6_hilbert1)) ) ) ) ) ) ).
fof(t43_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) => r2_tarski(k3_hilbert1(k4_hilbert1(A, B), k4_hilbert1(B, A)), k6_hilbert1)) ) ) ) ).
fof(t44_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) => r2_tarski(k3_hilbert1(k4_hilbert1(k3_hilbert1(A, B), k4_hilbert1(A, C)), k4_hilbert1(C, B)), k6_hilbert1)) ) ) ) ) ) ).
fof(t45_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) => r2_tarski(k3_hilbert1(k3_hilbert1(A, B), k3_hilbert1(k4_hilbert1(A, C), k4_hilbert1(C, B))), k6_hilbert1)) ) ) ) ) ) ).
fof(t46_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) => r2_tarski(k3_hilbert1(k3_hilbert1(A, B), k3_hilbert1(k4_hilbert1(C, A), k4_hilbert1(C, B))), k6_hilbert1)) ) ) ) ) ) ).
fof(t47_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) => r2_tarski(k3_hilbert1(k4_hilbert1(A, k4_hilbert1(C, B)), k4_hilbert1(A, k4_hilbert1(B, C))), k6_hilbert1)) ) ) ) ) ) ).
fof(t48_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) => r2_tarski(k3_hilbert1(k4_hilbert1(k3_hilbert1(A, B), k3_hilbert1(A, C)), k3_hilbert1(A, k4_hilbert1(B, C))), k6_hilbert1)) ) ) ) ) ) ).
fof(t49_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) => r2_tarski(k3_hilbert1(k4_hilbert1(k4_hilbert1(A, B), C), k4_hilbert1(A, k4_hilbert1(B, C))), k6_hilbert1)) ) ) ) ) ) ).
fof(t50_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) => r2_tarski(k3_hilbert1(k4_hilbert1(A, k4_hilbert1(B, C)), k4_hilbert1(k4_hilbert1(A, B), C)), k6_hilbert1)) ) ) ) ) ) ).
fof(dt_k2_hilbert1, axiom, m1_subset_1(k2_hilbert1, k1_hilbert1)).
fof(dt_k3_hilbert1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_hilbert1) & m1_subset_1(B, k1_hilbert1))  => m1_subset_1(k3_hilbert1(A, B), k1_hilbert1)) ) ).
fof(dt_k4_hilbert1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_hilbert1) & m1_subset_1(B, k1_hilbert1))  => m1_subset_1(k4_hilbert1(A, B), k1_hilbert1)) ) ).
fof(dt_k5_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) => m1_subset_1(k5_hilbert1(A), k1_zfmisc_1(k1_hilbert1))) ) ).
fof(dt_k6_hilbert1, axiom, m1_subset_1(k6_hilbert1, k1_zfmisc_1(k1_hilbert1))).
fof(fc1_hilbert2, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finseq_1(B) & v6_trees_3(B)) ) ) )  =>  (v1_relat_1(k4_trees_4(A, B)) &  (v1_funct_1(k4_trees_4(A, B)) &  ( ~ (v1_zfmisc_1(k4_trees_4(A, B)))  & v3_trees_2(k4_trees_4(A, B))) ) ) ) ) ).
fof(fc2_hilbert2, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_trees_2(B)) )  =>  (v1_relat_1(k5_trees_4(A, B)) &  (v1_funct_1(k5_trees_4(A, B)) &  ( ~ (v1_zfmisc_1(k5_trees_4(A, B)))  & v3_trees_2(k5_trees_4(A, B))) ) ) ) ) ).
fof(fc3_hilbert2, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_trees_2(B)) )  &  (v1_relat_1(C) &  (v1_funct_1(C) & v3_trees_2(C)) ) )  =>  (v1_relat_1(k6_trees_4(A, B, C)) &  (v1_funct_1(k6_trees_4(A, B, C)) &  ( ~ (v1_zfmisc_1(k6_trees_4(A, B, C)))  & v3_trees_2(k6_trees_4(A, B, C))) ) ) ) ) ).
fof(t1_hilbert2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  ( (! [C] :  (r2_tarski(C, A) =>  (v1_relat_1(k1_funct_1(B, C)) &  (v4_relat_1(k1_funct_1(B, C), C) &  (v1_funct_1(k1_funct_1(B, C)) & v1_partfun1(k1_funct_1(B, C), C)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k3_card_3(B) => k9_xtuple_0(C)=k3_tarski(A)) ) ) ) ) ) ) ).
fof(t2_hilbert2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (k7_finseq_1(k9_finseq_1(A), C)=k7_finseq_1(k9_finseq_1(B), D) => C=D) ) ) ) ) ) ) ).
fof(t3_hilbert2, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(k9_finseq_1(B), A) => r2_hidden(B, A)) ) ) ).
fof(t4_hilbert2, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  ~ ( ( ~ (B=k1_xboole_0)  &  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  ~ (B=k7_finseq_1(C, k9_finseq_1(D))) ) ) ) ) ) ) ) ) ) ).
fof(t5_hilbert2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_trees_1(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v1_trees_1(C))  =>  (r2_tarski(k9_finseq_1(A), k13_trees_3(B, C)) <=>  (A=k5_numbers | A=1) ) ) ) ) ) ) ).
fof(t6_hilbert2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_trees_2(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v3_trees_2(C)) )  => k1_funct_1(k6_trees_4(A, B, C), k1_xboole_0)=A) ) ) ) ) ).
fof(t7_hilbert2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_trees_2(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v3_trees_2(C)) )  =>  (k1_funct_1(k6_trees_4(A, B, C), k14_trees_3(k5_numbers))=k1_funct_1(B, k1_xboole_0) & k1_funct_1(k6_trees_4(A, B, C), k14_trees_3(1))=k1_funct_1(C, k1_xboole_0)) ) ) ) ) ) ).
fof(t8_hilbert2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_trees_2(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v3_trees_2(C)) )  =>  (k5_trees_2(k6_trees_4(A, B, C), k14_trees_3(k5_numbers))=B & k5_trees_2(k6_trees_4(A, B, C), k14_trees_3(1))=C) ) ) ) ) ) ).
fof(d1_hilbert2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => k1_hilbert2(A)=k14_trees_3(k1_nat_1(3, A))) ) ).
fof(d2_hilbert2, axiom,  (! [A] :  (v1_hilbert1(A) <=> r2_tarski(k2_hilbert1, A)) ) ).
fof(d3_hilbert2, axiom,  (! [A] :  (v4_hilbert1(A) <=>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => r2_tarski(k1_hilbert2(B), A)) ) ) ) ).
fof(d4_hilbert2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) =>  (v2_hilbert1(A) <=>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  ( (r2_tarski(B, A) & r2_tarski(C, A))  => r2_tarski(k3_hilbert1(B, C), A)) ) ) ) ) ) ) ) ).
fof(d5_hilbert2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) =>  (v3_hilbert1(A) <=>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  ( (r2_tarski(B, A) & r2_tarski(C, A))  => r2_tarski(k4_hilbert1(B, C), A)) ) ) ) ) ) ) ) ).
fof(d6_hilbert2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (v1_hilbert2(A) <=>  (? [B] :  (m1_subset_1(B, k1_hilbert1) &  (? [C] :  (m1_subset_1(C, k1_hilbert1) & A=k4_hilbert1(B, C)) ) ) ) ) ) ) ).
fof(d7_hilbert2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (v2_hilbert2(A) <=>  (? [B] :  (m1_subset_1(B, k1_hilbert1) &  (? [C] :  (m1_subset_1(C, k1_hilbert1) & A=k3_hilbert1(B, C)) ) ) ) ) ) ) ).
fof(d8_hilbert2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (v3_hilbert2(A) <=>  (? [B] :  (m1_subset_1(B, k4_ordinal1) & A=k1_hilbert2(B)) ) ) ) ) ).
fof(t9_hilbert2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  ~ ( ( ~ (v1_hilbert2(A))  &  ( ~ (v2_hilbert2(A))  &  ( ~ (v3_hilbert2(A))  &  ~ (A=k2_hilbert1) ) ) ) ) ) ) ).
fof(t10_hilbert2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) => r1_xxreal_0(1, k3_finseq_1(A))) ) ).
fof(t11_hilbert2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (k1_funct_1(A, 1)=1 => v2_hilbert2(A)) ) ) ).
fof(t12_hilbert2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (k1_funct_1(A, 1)=2 => v1_hilbert2(A)) ) ) ).
fof(t13_hilbert2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (k1_funct_1(B, 1)=k1_nat_1(3, A) => v3_hilbert2(B)) ) ) ) ) ).
fof(t14_hilbert2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (k1_funct_1(A, 1)=k5_numbers => A=k2_hilbert1) ) ) ).
fof(t15_hilbert2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  ( ~ (r1_xxreal_0(k3_finseq_1(k4_hilbert1(A, B)), k3_finseq_1(A)))  &  ~ (r1_xxreal_0(k3_finseq_1(k4_hilbert1(A, B)), k3_finseq_1(B))) ) ) ) ) ) ).
fof(t16_hilbert2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  ( ~ (r1_xxreal_0(k3_finseq_1(k3_hilbert1(A, B)), k3_finseq_1(A)))  &  ~ (r1_xxreal_0(k3_finseq_1(k3_hilbert1(A, B)), k3_finseq_1(B))) ) ) ) ) ) ).
fof(t17_hilbert2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (A=k7_finseq_1(B, C) => A=B) ) ) ) ) ) ) ).
fof(t18_hilbert2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (! [D] :  (m1_subset_1(D, k1_hilbert1) =>  (k7_finseq_1(A, B)=k7_finseq_1(C, D) =>  (A=C & B=D) ) ) ) ) ) ) ) ) ) ).
fof(t19_hilbert2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (! [D] :  (m1_subset_1(D, k1_hilbert1) =>  (k4_hilbert1(A, B)=k4_hilbert1(C, D) =>  (A=C & D=B) ) ) ) ) ) ) ) ) ) ).
fof(t20_hilbert2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (! [D] :  (m1_subset_1(D, k1_hilbert1) =>  (k3_hilbert1(A, B)=k3_hilbert1(C, D) =>  (A=C & D=B) ) ) ) ) ) ) ) ) ) ).
fof(t21_hilbert2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (k1_hilbert2(B)=k1_hilbert2(A) => B=A) ) ) ) ) ).
fof(t22_hilbert2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (! [D] :  (m1_subset_1(D, k1_hilbert1) =>  ~ (k4_hilbert1(A, B)=k3_hilbert1(C, D)) ) ) ) ) ) ) ) ) ).
fof(t23_hilbert2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  ~ (k4_hilbert1(A, B)=k2_hilbert1) ) ) ) ) ).
fof(t24_hilbert2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  ~ (k4_hilbert1(B, C)=k1_hilbert2(A)) ) ) ) ) ) ) ).
fof(t25_hilbert2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  ~ (k3_hilbert1(A, B)=k2_hilbert1) ) ) ) ) ).
fof(t26_hilbert2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  ~ (k3_hilbert1(B, C)=k1_hilbert2(A)) ) ) ) ) ) ) ).
fof(t27_hilbert2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  ( ~ (k4_hilbert1(A, B)=A)  &  ~ (k4_hilbert1(A, B)=B) ) ) ) ) ) ).
fof(t28_hilbert2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  ( ~ (k3_hilbert1(A, B)=A)  &  ~ (k3_hilbert1(A, B)=B) ) ) ) ) ) ).
fof(t29_hilbert2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ~ (k2_hilbert1=k1_hilbert2(A)) ) ) ).
fof(d9_hilbert2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k1_hilbert1) &  (v1_funct_1(A) & v1_partfun1(A, k1_hilbert1)) ) )  =>  (A=k2_hilbert2 <=>  (k1_funct_1(A, k2_hilbert1)=k2_trees_4(k1_hilbert1, k2_hilbert1) &  ( (! [B] :  (m1_subset_1(B, k4_ordinal1) => k1_funct_1(A, k1_hilbert2(B))=k2_trees_4(k1_hilbert1, k1_hilbert2(B))) )  &  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (? [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, k1_hilbert1) &  (v1_funct_1(D) & v3_trees_2(D)) ) )  &  (? [E] :  ( (v1_relat_1(E) &  (v5_relat_1(E, k1_hilbert1) &  (v1_funct_1(E) & v3_trees_2(E)) ) )  &  (D=k1_funct_1(A, B) &  (E=k1_funct_1(A, C) &  (k1_funct_1(A, k4_hilbert1(B, C))=k6_trees_4(k4_hilbert1(B, C), D, E) & k1_funct_1(A, k3_hilbert1(B, C))=k6_trees_4(k3_hilbert1(B, C), D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_hilbert2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) => k3_hilbert2(A)=k1_funct_1(k2_hilbert2, A)) ) ).
fof(t30_hilbert2, axiom, k3_hilbert2(k2_hilbert1)=k2_trees_4(k1_hilbert1, k2_hilbert1)).
fof(t31_hilbert2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => k3_hilbert2(k1_hilbert2(A))=k2_trees_4(k1_hilbert1, k1_hilbert2(A))) ) ).
fof(t32_hilbert2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) => k3_hilbert2(k4_hilbert1(A, B))=k6_trees_4(k4_hilbert1(A, B), k3_hilbert2(A), k3_hilbert2(B))) ) ) ) ).
fof(t33_hilbert2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) => k3_hilbert2(k3_hilbert1(A, B))=k6_trees_4(k3_hilbert1(A, B), k3_hilbert2(A), k3_hilbert2(B))) ) ) ) ).
fof(t34_hilbert2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) => k1_funct_1(k3_hilbert2(A), k1_xboole_0)=A) ) ).
fof(t35_hilbert2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_trees_1(B, k9_xtuple_0(k3_hilbert2(A))) => k5_trees_2(k3_hilbert2(A), B)=k3_hilbert2(k3_trees_2(k1_hilbert1, k3_hilbert2(A), B))) ) ) ) ).
fof(t36_hilbert2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  ~ ( (r2_tarski(A, k6_trees_2(k1_hilbert1, k3_hilbert2(B))) &  ( ~ (A=k2_hilbert1)  &  ~ (v3_hilbert2(A)) ) ) ) ) ) ) ) ).
fof(s1_hilbert2, axiom,  ( (p1_s1_hilbert2(k6_finseq_1(k4_ordinal1)) &  (! [A] :  (m1_trees_1(A, f1_s1_hilbert2) =>  (p1_s1_hilbert2(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (r2_tarski(k8_finseq_1(k4_ordinal1, A, k14_trees_3(B)), f1_s1_hilbert2) => p1_s1_hilbert2(k8_finseq_1(k4_ordinal1, A, k14_trees_3(B)))) ) ) ) ) ) )  =>  (! [A] :  (m1_trees_1(A, f1_s1_hilbert2) => p1_s1_hilbert2(A)) ) ) ).
fof(s2_hilbert2, axiom,  ( (p1_s2_hilbert2(k2_hilbert1) &  ( (! [A] :  (m1_subset_1(A, k4_ordinal1) => p1_s2_hilbert2(k1_hilbert2(A))) )  &  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  ( (p1_s2_hilbert2(A) & p1_s2_hilbert2(B))  =>  (p1_s2_hilbert2(k4_hilbert1(A, B)) & p1_s2_hilbert2(k3_hilbert1(A, B))) ) ) ) ) ) ) )  =>  (! [A] :  (m1_subset_1(A, k1_hilbert1) => p1_s2_hilbert2(A)) ) ) ).
fof(s3_hilbert2, axiom,  ( ( (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (! [D] :  (? [E] : p1_s3_hilbert2(A, B, C, D, E)) ) ) ) ) ) )  &  ( (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (! [D] :  (? [E] : p2_s3_hilbert2(A, B, C, D, E)) ) ) ) ) ) )  &  ( (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( (p1_s3_hilbert2(A, B, C, D, E) & p1_s3_hilbert2(A, B, C, D, F))  => E=F) ) ) ) ) ) ) ) )  &  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( (p2_s3_hilbert2(A, B, C, D, E) & p2_s3_hilbert2(A, B, C, D, F))  => E=F) ) ) ) ) ) ) ) ) ) ) )  =>  (? [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k1_hilbert1) &  (v1_funct_1(A) & v1_partfun1(A, k1_hilbert1)) ) )  &  (k1_funct_1(A, k2_hilbert1)=f1_s3_hilbert2 &  ( (! [B] :  (m1_subset_1(B, k4_ordinal1) => k1_funct_1(A, k1_hilbert2(B))=f2_s3_hilbert2(B)) )  &  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (p1_s3_hilbert2(B, C, k1_funct_1(A, B), k1_funct_1(A, C), k1_funct_1(A, k4_hilbert1(B, C))) & p2_s3_hilbert2(B, C, k1_funct_1(A, B), k1_funct_1(A, C), k1_funct_1(A, k3_hilbert1(B, C)))) ) ) ) ) ) ) ) ) ) ).
fof(s4_hilbert2, axiom,  (? [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k1_hilbert1) &  (v1_funct_1(A) & v1_partfun1(A, k1_hilbert1)) ) )  &  (k1_funct_1(A, k2_hilbert1)=f1_s4_hilbert2 &  ( (! [B] :  (m1_subset_1(B, k4_ordinal1) => k1_funct_1(A, k1_hilbert2(B))=f2_s4_hilbert2(B)) )  &  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (k1_funct_1(A, k4_hilbert1(B, C))=f3_s4_hilbert2(k1_funct_1(A, B), k1_funct_1(A, C)) & k1_funct_1(A, k3_hilbert1(B, C))=f4_s4_hilbert2(k1_funct_1(A, B), k1_funct_1(A, C))) ) ) ) ) ) ) ) ) ).
fof(dt_f1_s1_hilbert2, axiom,  ( ~ (v1_xboole_0(f1_s1_hilbert2))  & v1_trees_1(f1_s1_hilbert2)) ).
fof(dt_k1_hilbert2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => m1_subset_1(k1_hilbert2(A), k1_hilbert1)) ) ).
fof(dt_k2_hilbert2, axiom,  (v1_relat_1(k2_hilbert2) &  (v4_relat_1(k2_hilbert2, k1_hilbert1) &  (v1_funct_1(k2_hilbert2) & v1_partfun1(k2_hilbert2, k1_hilbert1)) ) ) ).
fof(dt_k3_hilbert2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (v1_relat_1(k3_hilbert2(A)) &  (v5_relat_1(k3_hilbert2(A), k1_hilbert1) &  (v1_funct_1(k3_hilbert2(A)) & v3_trees_2(k3_hilbert2(A))) ) ) ) ) ).
fof(fc1_hilbert3, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => v2_funct_1(k6_funct_4(k5_numbers, B, A, k5_numbers))) ) ).
fof(fc2_hilbert3, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => v2_funct_1(k6_funct_4(B, k5_numbers, k5_numbers, A))) ) ).
fof(fc3_hilbert3, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v2_funct_1(B)) ) )  =>  (v1_relat_1(k15_funct_3(A, B)) &  (v1_funct_1(k15_funct_3(A, B)) & v2_funct_1(k15_funct_3(A, B))) ) ) ) ).
fof(fc4_hilbert3, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, A, A) &  (v3_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, B, B) &  (v3_funct_2(D, B, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) ) )  =>  (v1_funct_1(k15_funct_3(C, D)) &  (v1_funct_2(k15_funct_3(C, D), k2_zfmisc_1(A, B), k2_zfmisc_1(A, B)) & v3_funct_2(k15_funct_3(C, D), k2_zfmisc_1(A, B), k2_zfmisc_1(A, B))) ) ) ) ).
fof(fc5_hilbert3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, A) &  (v3_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, B, B) &  (v3_funct_2(D, B, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) ) ) ) )  =>  (v1_funct_1(k1_hilbert3(A, B, C, D)) &  (v1_funct_2(k1_hilbert3(A, B, C, D), k9_funct_2(A, B), k9_funct_2(A, B)) & v3_funct_2(k1_hilbert3(A, B, C, D), k9_funct_2(A, B), k9_funct_2(A, B))) ) ) ) ).
fof(fc6_hilbert3, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  & m1_subset_1(B, k1_hilbert1))  =>  ~ (v1_xboole_0(k3_hilbert3(A, B))) ) ) ).
fof(fc7_hilbert3, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  &  (m1_subset_1(B, k1_hilbert1) & m1_subset_1(C, k1_hilbert1)) )  => v4_funct_1(k3_hilbert3(A, k3_hilbert1(B, C)))) ) ).
fof(cc1_hilbert3, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  &  (m1_subset_1(B, k1_hilbert1) &  (m1_subset_1(C, k1_hilbert1) & m1_subset_1(D, k1_hilbert1)) ) )  =>  (! [E] :  (m1_subset_1(E, k3_hilbert3(A, k3_hilbert1(B, k3_hilbert1(C, D)))) => v1_funcop_1(E)) ) ) ) ).
fof(rc1_hilbert3, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  &  (m1_subset_1(B, k1_hilbert1) &  (m1_subset_1(C, k1_hilbert1) & m1_subset_1(D, k1_hilbert1)) ) )  =>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_hilbert3(A, k3_hilbert1(B, C)), k3_hilbert3(A, k3_hilbert1(B, D))))) &  (v1_relat_1(E) &  (v4_relat_1(E, k3_hilbert3(A, k3_hilbert1(B, C))) &  (v5_relat_1(E, k3_hilbert3(A, k3_hilbert1(B, D))) &  ( ~ (v1_xboole_0(E))  &  (v1_funct_1(E) &  (v1_partfun1(E, k3_hilbert3(A, k3_hilbert1(B, C))) &  (v1_funct_2(E, k3_hilbert3(A, k3_hilbert1(B, C)), k3_hilbert3(A, k3_hilbert1(B, D))) &  (v1_funcop_1(E) & v2_funcop_1(E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_hilbert3, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  &  (m1_subset_1(B, k1_hilbert1) &  (m1_subset_1(C, k1_hilbert1) & m1_subset_1(D, k1_hilbert1)) ) )  =>  (? [E] :  (m1_subset_1(E, k3_hilbert3(A, k3_hilbert1(B, k3_hilbert1(C, D)))) &  (v1_relat_1(E) &  (v1_funct_1(E) &  (v1_funcop_1(E) & v2_funcop_1(E)) ) ) ) ) ) ) ).
fof(fc8_hilbert3, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  &  (m1_hilbert3(B, A) & m1_subset_1(C, k1_hilbert1)) )  =>  (v1_funct_1(k5_hilbert3(A, B, C)) &  (v1_funct_2(k5_hilbert3(A, B, C), k3_hilbert3(A, C), k3_hilbert3(A, C)) & v3_funct_2(k5_hilbert3(A, B, C), k3_hilbert3(A, C), k3_hilbert3(A, C))) ) ) ) ).
fof(fc9_hilbert3, axiom, v1_hilbert3(k2_hilbert1)).
fof(fc10_hilbert3, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_hilbert1) & m1_subset_1(B, k1_hilbert1))  => v1_hilbert3(k3_hilbert1(A, k3_hilbert1(B, A)))) ) ).
fof(fc11_hilbert3, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_hilbert1) & m1_subset_1(B, k1_hilbert1))  => v1_hilbert3(k3_hilbert1(k4_hilbert1(A, B), A))) ) ).
fof(fc12_hilbert3, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_hilbert1) & m1_subset_1(B, k1_hilbert1))  => v1_hilbert3(k3_hilbert1(k4_hilbert1(A, B), B))) ) ).
fof(fc13_hilbert3, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_hilbert1) & m1_subset_1(B, k1_hilbert1))  => v1_hilbert3(k3_hilbert1(A, k3_hilbert1(B, k4_hilbert1(A, B))))) ) ).
fof(fc14_hilbert3, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k1_hilbert1) &  (m1_subset_1(B, k1_hilbert1) & m1_subset_1(C, k1_hilbert1)) )  => v1_hilbert3(k3_hilbert1(k3_hilbert1(A, k3_hilbert1(B, C)), k3_hilbert1(k3_hilbert1(A, B), k3_hilbert1(A, C))))) ) ).
fof(rc3_hilbert3, axiom,  (? [A] :  (m1_subset_1(A, k1_hilbert1) &  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_hilbert3(A)) ) ) ) ) ).
fof(cc2_hilbert3, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (v1_hilbert3(A) => v2_hilbert3(A)) ) ) ).
fof(t1_hilbert3, axiom,  (! [A] :  (v1_int_1(A) =>  (v1_abian(A) <=>  ~ (v1_abian(k6_xcmplx_0(A, 1))) ) ) ) ).
fof(t2_hilbert3, axiom,  (! [A] :  (v1_int_1(A) =>  ( ~ (v1_abian(A))  <=> v1_abian(k6_xcmplx_0(A, 1))) ) ) ).
fof(t3_hilbert3, axiom,  (! [A] :  (v1_zfmisc_1(A) =>  (! [B] :  (r2_tarski(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  => r1_abian(B, C)) ) ) ) ) ) ).
fof(t5_hilbert3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (r2_tarski(C, A) & r2_tarski(D, k1_funct_2(A, B)))  => r2_tarski(k1_funct_1(D, C), B)) ) ) ) ) ) ).
fof(t6_hilbert3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ ( (C=k1_xboole_0 &  ( ~ (B=k1_xboole_0)  &  ~ (A=k1_xboole_0) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_funct_2(B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_funct_2(B, C))))) )  => k1_funct_6(D)=k7_funcop_1(A, B)) ) ) ) ) ) ).
fof(t7_hilbert3, axiom,  (! [A] : k1_funct_1(k1_xboole_0, A)=k1_xboole_0) ).
fof(t8_hilbert3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => r1_funct_2(A, k4_ordinal1, A, k2_tarski(k5_ordinal1, 1), k1_partfun1(A, k2_tarski(k5_ordinal1, 1), k2_tarski(k5_numbers, 1), k4_ordinal1, k5_funct_3(B, A), k7_funct_4(k4_ordinal1, k5_numbers, 1, 1, k5_numbers)), k5_funct_3(k3_subset_1(A, B), A))) ) ) ).
fof(t9_hilbert3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => r1_funct_2(A, k4_ordinal1, A, k2_tarski(k5_ordinal1, 1), k1_partfun1(A, k2_tarski(k5_ordinal1, 1), k2_tarski(k5_numbers, 1), k4_ordinal1, k5_funct_3(k3_subset_1(A, B), A), k7_funct_4(k4_ordinal1, k5_numbers, 1, 1, k5_numbers)), k5_funct_3(B, A))) ) ) ).
fof(t10_hilbert3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (k6_funct_4(A, B, C, D)=k6_funct_4(A, B, E, F) =>  (A=B |  (C=E & D=F) ) ) ) ) ) ) ) ) ).
fof(t11_hilbert3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( (r2_tarski(C, E) & r2_tarski(D, F))  =>  (A=B | r2_tarski(k6_funct_4(A, B, C, D), k4_card_3(k6_funct_4(A, B, E, F)))) ) ) ) ) ) ) ) ).
fof(t12_hilbert3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, 2, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(2, A)))) )  =>  (? [C] :  (m1_subset_1(C, A) &  (? [D] :  (m1_subset_1(D, A) & r1_funct_2(2, A, k2_tarski(k5_numbers, 1), A, B, k7_funct_4(A, k5_numbers, 1, C, D))) ) ) ) ) ) ) ) ).
fof(t13_hilbert3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ~ (A=B)  => k3_relat_1(k6_funct_4(A, B, B, A), k6_funct_4(A, B, C, D))=k6_funct_4(A, B, D, C)) ) ) ) ) ).
fof(t14_hilbert3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  ( (r2_tarski(C, k9_xtuple_0(E)) & r2_tarski(D, k9_xtuple_0(E)))  =>  (A=B | k3_relat_1(k6_funct_4(A, B, C, D), E)=k6_funct_4(A, B, k1_funct_1(E, C), k1_funct_1(E, D))) ) ) ) ) ) ) ) ).
fof(t15_hilbert3, axiom,  (v1_funct_1(k7_funct_4(k4_ordinal1, k5_numbers, 1, 1, k5_numbers)) &  (v1_funct_2(k7_funct_4(k4_ordinal1, k5_numbers, 1, 1, k5_numbers), 2, 2) &  (v3_funct_2(k7_funct_4(k4_ordinal1, k5_numbers, 1, 1, k5_numbers), 2, 2) & m1_subset_1(k7_funct_4(k4_ordinal1, k5_numbers, 1, 1, k5_numbers), k1_zfmisc_1(k2_zfmisc_1(2, 2)))) ) ) ).
fof(t16_hilbert3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (! [D] :  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, A)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, B)))) )  => k1_partfun1(k2_zfmisc_1(C, D), k2_zfmisc_1(A, B), k2_zfmisc_1(A, B), A, k16_funct_3(C, D, A, B, E, F), k9_funct_3(A, B))=k1_partfun1(k2_zfmisc_1(C, D), C, C, A, k9_funct_3(C, D), E)) ) ) ) ) ) ) ) ) ) ).
fof(t17_hilbert3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (! [D] :  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, A)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, B)))) )  => k1_partfun1(k2_zfmisc_1(C, D), k2_zfmisc_1(A, B), k2_zfmisc_1(A, B), B, k16_funct_3(C, D, A, B, E, F), k10_funct_3(A, B))=k1_partfun1(k2_zfmisc_1(C, D), D, D, B, k10_funct_3(C, D), F)) ) ) ) ) ) ) ) ) ) ).
fof(t18_hilbert3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => k15_pralg_1(k1_xboole_0, A)=k1_xboole_0) ) ).
fof(t19_hilbert3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => k3_relat_1(C, k15_pralg_1(A, B))=k15_pralg_1(k3_relat_1(C, A), k3_relat_1(C, B))) ) ) ) ) ) ).
fof(t20_hilbert3, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_funct_2(k1_xboole_0, A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_funct_2(k1_xboole_0, A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k1_xboole_0) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_xboole_0)))) )  => k10_xtuple_0(k15_pralg_1(C, D))=k1_tarski(k1_xboole_0)) ) ) ) ) ) ) ).
fof(t21_hilbert3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (B=k1_xboole_0 => A=k1_xboole_0)  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_funct_2(B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_funct_2(B, C))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  => r1_tarski(k10_xtuple_0(k15_pralg_1(D, E)), C)) ) ) ) ) ) ) ) ).
fof(t22_hilbert3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ ( (C=k1_xboole_0 &  ( ~ (B=k1_xboole_0)  &  ~ (A=k1_xboole_0) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_funct_2(B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_funct_2(B, C))))) )  => k9_xtuple_0(k2_pralg_2(D))=k1_funct_2(A, B)) ) ) ) ) ) ).
fof(t23_hilbert3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ ( (C=k1_xboole_0 &  ( ~ (B=k1_xboole_0)  &  ~ (A=k1_xboole_0) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_funct_2(B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_funct_2(B, C))))) )  => r1_tarski(k10_xtuple_0(k2_pralg_2(D)), k1_funct_2(A, C))) ) ) ) ) ) ).
fof(t24_hilbert3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ ( (C=k1_xboole_0 &  ( ~ (B=k1_xboole_0)  &  ~ (A=k1_xboole_0) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_funct_2(B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_funct_2(B, C))))) )  =>  (v1_funct_1(k2_pralg_2(D)) &  (v1_funct_2(k2_pralg_2(D), k1_funct_2(A, B), k1_funct_2(A, C)) & m1_subset_1(k2_pralg_2(D), k1_zfmisc_1(k2_zfmisc_1(k1_funct_2(A, B), k1_funct_2(A, C))))) ) ) ) ) ) ) ) ).
fof(t25_hilbert3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, A) &  (v3_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, B) &  (v3_funct_2(D, B, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  => v3_funct_2(k16_funct_3(A, B, A, B, C, D), k2_zfmisc_1(A, B), k2_zfmisc_1(A, B))) ) ) ) ) ) ).
fof(d1_hilbert3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, A) &  (v3_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k9_funct_2(A, B), k9_funct_2(A, B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, B), k9_funct_2(A, B))))) )  =>  (E=k1_hilbert3(A, B, C, D) <=>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  => k1_funct_1(E, F)=k1_partfun1(A, A, A, B, k2_funct_2(A, C), k1_partfun1(A, B, B, B, F, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_hilbert3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, A) &  (v3_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, B) &  (v3_funct_2(D, B, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  => k1_funct_1(k2_funct_2(k9_funct_2(A, B), k1_hilbert3(A, B, C, D)), E)=k1_partfun1(A, A, A, B, C, k1_partfun1(A, B, B, B, E, k2_funct_2(B, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t27_hilbert3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, A) &  (v3_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, B) &  (v3_funct_2(D, B, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  => r2_funct_2(k9_funct_2(A, B), k9_funct_2(A, B), k2_funct_2(k9_funct_2(A, B), k1_hilbert3(A, B, C, D)), k1_hilbert3(A, B, k2_funct_2(A, C), k2_funct_2(B, D)))) ) ) ) ) ) ) ) ).
fof(t28_hilbert3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k9_funct_2(B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k9_funct_2(B, C))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, B, B) &  (v3_funct_2(F, B, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, C, C) &  (v3_funct_2(G, C, C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(C, C)))) ) )  => k16_pralg_1(A, k1_partfun1(A, k9_funct_2(B, C), k9_funct_2(B, C), k9_funct_2(B, C), D, k1_hilbert3(B, C, F, G)), k1_partfun1(A, B, B, B, E, F))=k3_relat_1(k16_pralg_1(A, D, E), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_hilbert3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k1_hilbert1) &  (v1_funct_1(B) & v1_partfun1(B, k1_hilbert1)) ) )  =>  (B=k2_hilbert3(A) <=>  (k1_funct_1(B, k2_hilbert1)=1 &  ( (! [C] :  (m1_subset_1(C, k4_ordinal1) => k1_funct_1(B, k1_hilbert2(C))=k1_funct_1(A, C)) )  &  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (! [D] :  (m1_subset_1(D, k1_hilbert1) =>  (k1_funct_1(B, k4_hilbert1(C, D))=k2_zfmisc_1(k1_funct_1(B, C), k1_funct_1(B, D)) & k1_funct_1(B, k3_hilbert1(C, D))=k1_funct_2(k1_funct_1(B, C), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_hilbert3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) => k3_hilbert3(A, B)=k1_funct_1(k2_hilbert3(A), B)) ) ) ) ).
fof(t29_hilbert3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  => k3_hilbert3(A, k2_hilbert1)=1) ) ).
fof(t30_hilbert3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) ) )  => k3_hilbert3(B, k1_hilbert2(A))=k1_funct_1(B, A)) ) ) ) ).
fof(t31_hilbert3, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) ) )  => k3_hilbert3(C, k4_hilbert1(A, B))=k2_zfmisc_1(k3_hilbert3(C, A), k3_hilbert3(C, B))) ) ) ) ) ) ).
fof(t32_hilbert3, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) ) )  => k3_hilbert3(C, k3_hilbert1(A, B))=k9_funct_2(k3_hilbert3(C, A), k3_hilbert3(C, B))) ) ) ) ) ) ).
fof(d4_hilbert3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (m1_hilbert3(B, A) <=>  (k9_xtuple_0(B)=k4_ordinal1 &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (v1_funct_1(k1_funct_1(B, C)) &  (v1_funct_2(k1_funct_1(B, C), k1_funct_1(A, C), k1_funct_1(A, C)) &  (v3_funct_2(k1_funct_1(B, C), k1_funct_1(A, C), k1_funct_1(A, C)) & m1_subset_1(k1_funct_1(B, C), k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(A, C), k1_funct_1(A, C))))) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_hilbert3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  =>  (! [B] :  (m1_hilbert3(B, A) =>  (! [C] :  (m2_pboole(C, k1_hilbert1, k2_hilbert3(A), k2_hilbert3(A)) =>  (C=k4_hilbert3(A, B) <=>  (k1_msualg_3(k1_hilbert1, k2_hilbert3(A), k2_hilbert3(A), C, k2_hilbert1)=k6_partfun1(1) &  ( (! [D] :  (m1_subset_1(D, k4_ordinal1) => k1_msualg_3(k1_hilbert1, k2_hilbert3(A), k2_hilbert3(A), C, k1_hilbert2(D))=k1_funct_1(B, D)) )  &  (! [D] :  (m1_subset_1(D, k1_hilbert1) =>  (! [E] :  (m1_subset_1(E, k1_hilbert1) =>  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k3_hilbert3(A, D), k3_hilbert3(A, D)) &  (v3_funct_2(F, k3_hilbert3(A, D), k3_hilbert3(A, D)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k3_hilbert3(A, D), k3_hilbert3(A, D))))) ) )  &  (? [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k3_hilbert3(A, E), k3_hilbert3(A, E)) &  (v3_funct_2(G, k3_hilbert3(A, E), k3_hilbert3(A, E)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k3_hilbert3(A, E), k3_hilbert3(A, E))))) ) )  &  (F=k1_msualg_3(k1_hilbert1, k2_hilbert3(A), k2_hilbert3(A), C, D) &  (G=k1_msualg_3(k1_hilbert1, k2_hilbert3(A), k2_hilbert3(A), C, E) &  (k1_msualg_3(k1_hilbert1, k2_hilbert3(A), k2_hilbert3(A), C, k4_hilbert1(D, E))=k16_funct_3(k3_hilbert3(A, D), k3_hilbert3(A, E), k3_hilbert3(A, D), k3_hilbert3(A, E), F, G) & k1_msualg_3(k1_hilbert1, k2_hilbert3(A), k2_hilbert3(A), C, k3_hilbert1(D, E))=k1_hilbert3(k3_hilbert3(A, D), k3_hilbert3(A, E), F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_hilbert3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  =>  (! [B] :  (m1_hilbert3(B, A) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) => k5_hilbert3(A, B, C)=k1_msualg_3(k1_hilbert1, k2_hilbert3(A), k2_hilbert3(A), k4_hilbert3(A, B), C)) ) ) ) ) ) ).
fof(t33_hilbert3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  =>  (! [B] :  (m1_hilbert3(B, A) => r2_funct_2(k3_hilbert3(A, k2_hilbert1), k3_hilbert3(A, k2_hilbert1), k5_hilbert3(A, B, k2_hilbert1), k6_partfun1(k3_hilbert3(A, k2_hilbert1)))) ) ) ) ).
fof(t34_hilbert3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) ) )  =>  (! [C] :  (m1_hilbert3(C, B) => k5_hilbert3(B, C, k1_hilbert2(A))=k1_funct_1(C, A)) ) ) ) ) ) ).
fof(t35_hilbert3, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) ) )  =>  (! [D] :  (m1_hilbert3(D, C) => r1_funct_2(k3_hilbert3(C, k4_hilbert1(A, B)), k3_hilbert3(C, k4_hilbert1(A, B)), k2_zfmisc_1(k3_hilbert3(C, A), k3_hilbert3(C, B)), k2_zfmisc_1(k3_hilbert3(C, A), k3_hilbert3(C, B)), k5_hilbert3(C, D, k4_hilbert1(A, B)), k16_funct_3(k3_hilbert3(C, A), k3_hilbert3(C, B), k3_hilbert3(C, A), k3_hilbert3(C, B), k5_hilbert3(C, D, A), k5_hilbert3(C, D, B)))) ) ) ) ) ) ) ) ).
fof(t36_hilbert3, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) ) )  =>  (! [D] :  (m1_hilbert3(D, C) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k3_hilbert3(C, A), k3_hilbert3(C, A)) &  (v3_funct_2(E, k3_hilbert3(C, A), k3_hilbert3(C, A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_hilbert3(C, A), k3_hilbert3(C, A))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k3_hilbert3(C, B), k3_hilbert3(C, B)) &  (v3_funct_2(F, k3_hilbert3(C, B), k3_hilbert3(C, B)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k3_hilbert3(C, B), k3_hilbert3(C, B))))) ) )  =>  ( (r2_funct_2(k3_hilbert3(C, A), k3_hilbert3(C, A), E, k5_hilbert3(C, D, A)) & r2_funct_2(k3_hilbert3(C, B), k3_hilbert3(C, B), F, k5_hilbert3(C, D, B)))  => r1_funct_2(k3_hilbert3(C, k3_hilbert1(A, B)), k3_hilbert3(C, k3_hilbert1(A, B)), k9_funct_2(k3_hilbert3(C, A), k3_hilbert3(C, B)), k9_funct_2(k3_hilbert3(C, A), k3_hilbert3(C, B)), k5_hilbert3(C, D, k3_hilbert1(A, B)), k1_hilbert3(k3_hilbert3(C, A), k3_hilbert3(C, B), E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_hilbert3, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) ) )  =>  (! [D] :  (m1_hilbert3(D, C) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k3_hilbert3(C, A), k3_hilbert3(C, B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_hilbert3(C, A), k3_hilbert3(C, B))))) )  => k1_funct_1(k5_hilbert3(C, D, k3_hilbert1(A, B)), E)=k1_partfun1(k3_hilbert3(C, A), k3_hilbert3(C, A), k3_hilbert3(C, A), k3_hilbert3(C, B), k2_funct_2(k3_hilbert3(C, A), k5_hilbert3(C, D, A)), k1_partfun1(k3_hilbert3(C, A), k3_hilbert3(C, B), k3_hilbert3(C, B), k3_hilbert3(C, B), E, k5_hilbert3(C, D, B)))) ) ) ) ) ) ) ) ) ) ).
fof(t38_hilbert3, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) ) )  =>  (! [D] :  (m1_hilbert3(D, C) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k3_hilbert3(C, A), k3_hilbert3(C, B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_hilbert3(C, A), k3_hilbert3(C, B))))) )  => k1_funct_1(k2_funct_2(k3_hilbert3(C, k3_hilbert1(A, B)), k5_hilbert3(C, D, k3_hilbert1(A, B))), E)=k1_partfun1(k3_hilbert3(C, A), k3_hilbert3(C, A), k3_hilbert3(C, A), k3_hilbert3(C, B), k5_hilbert3(C, D, A), k1_partfun1(k3_hilbert3(C, A), k3_hilbert3(C, B), k3_hilbert3(C, B), k3_hilbert3(C, B), E, k2_funct_2(k3_hilbert3(C, B), k5_hilbert3(C, D, B))))) ) ) ) ) ) ) ) ) ) ).
fof(t39_hilbert3, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) ) )  =>  (! [D] :  (m1_hilbert3(D, C) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k3_hilbert3(C, A), k3_hilbert3(C, B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_hilbert3(C, A), k3_hilbert3(C, B))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k3_hilbert3(C, A), k3_hilbert3(C, B)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k3_hilbert3(C, A), k3_hilbert3(C, B))))) )  =>  (E=k1_funct_1(k5_hilbert3(C, D, k3_hilbert1(A, B)), F) => r2_funct_2(k3_hilbert3(C, A), k3_hilbert3(C, B), k1_partfun1(k3_hilbert3(C, A), k3_hilbert3(C, B), k3_hilbert3(C, B), k3_hilbert3(C, B), F, k5_hilbert3(C, D, B)), k1_partfun1(k3_hilbert3(C, A), k3_hilbert3(C, A), k3_hilbert3(C, A), k3_hilbert3(C, B), k5_hilbert3(C, D, A), E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_hilbert3, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) ) )  =>  (! [D] :  (m1_hilbert3(D, C) =>  (! [E] :  (r1_abian(E, k5_hilbert3(C, D, A)) =>  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  (r1_abian(F, k5_hilbert3(C, D, k3_hilbert1(A, B))) => r1_abian(k1_funct_1(F, E), k5_hilbert3(C, D, B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_hilbert3, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (v1_hilbert3(A) <=>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) ) )  =>  (? [C] :  (! [D] :  (m1_hilbert3(D, B) => r1_abian(C, k5_hilbert3(B, D, A))) ) ) ) ) ) ) ) ).
fof(t41_hilbert3, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  ( (v1_hilbert3(A) & v1_hilbert3(k3_hilbert1(A, B)))  => v1_hilbert3(B)) ) ) ) ) ).
fof(t42_hilbert3, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (r2_tarski(A, k6_hilbert1) => v1_hilbert3(A)) ) ) ).
fof(d8_hilbert3, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (v2_hilbert3(A) <=>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) ) )  =>  (! [C] :  (m1_hilbert3(C, B) =>  (? [D] : r1_abian(D, k5_hilbert3(B, C, A))) ) ) ) ) ) ) ) ).
fof(t43_hilbert3, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  ( (v2_hilbert3(A) & v2_hilbert3(k3_hilbert1(A, B)))  => v2_hilbert3(B)) ) ) ) ) ).
fof(t44_hilbert3, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) ) )  =>  (! [D] :  (m1_hilbert3(D, C) =>  ~ ( ( (? [E] : r1_abian(E, k5_hilbert3(C, D, A)))  &  ( (! [E] :  ~ (r1_abian(E, k5_hilbert3(C, D, B))) )  & v2_hilbert3(k3_hilbert1(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_hilbert3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ~ ( ( ~ (A=B)  & v2_hilbert3(k3_hilbert1(k3_hilbert1(k3_hilbert1(k1_hilbert2(A), k1_hilbert2(B)), k1_hilbert2(A)), k1_hilbert2(A)))) ) ) ) ) ) ).
fof(dt_k1_hilbert3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, A) &  (v3_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, B, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) ) ) )  =>  (v1_funct_1(k1_hilbert3(A, B, C, D)) &  (v1_funct_2(k1_hilbert3(A, B, C, D), k9_funct_2(A, B), k9_funct_2(A, B)) & m1_subset_1(k1_hilbert3(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, B), k9_funct_2(A, B))))) ) ) ) ).
fof(dt_k2_hilbert3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  =>  (v1_relat_1(k2_hilbert3(A)) &  (v4_relat_1(k2_hilbert3(A), k1_hilbert1) &  (v1_funct_1(k2_hilbert3(A)) & v1_partfun1(k2_hilbert3(A), k1_hilbert1)) ) ) ) ) ).
fof(dt_m1_hilbert3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  =>  (! [B] :  (m1_hilbert3(B, A) =>  (v1_relat_1(B) & v1_funct_1(B)) ) ) ) ) ).
fof(existence_m1_hilbert3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  =>  (? [B] : m1_hilbert3(B, A)) ) ) ).
fof(dt_k4_hilbert3, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  & m1_hilbert3(B, A))  => m2_pboole(k4_hilbert3(A, B), k1_hilbert1, k2_hilbert3(A), k2_hilbert3(A))) ) ).
fof(dt_k5_hilbert3, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  &  (m1_hilbert3(B, A) & m1_subset_1(C, k1_hilbert1)) )  =>  (v1_funct_1(k5_hilbert3(A, B, C)) &  (v1_funct_2(k5_hilbert3(A, B, C), k3_hilbert3(A, C), k3_hilbert3(A, C)) & m1_subset_1(k5_hilbert3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k3_hilbert3(A, C), k3_hilbert3(A, C))))) ) ) ) ).
fof(rd1_hilbert4, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => k4_relset_1(A, A, A, B, k6_partfun1(A), C)=C) ) ).
fof(rd2_hilbert4, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => k4_relset_1(A, B, B, B, C, k6_partfun1(B))=C) ) ).
fof(rc1_hilbert4, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v1_partit_2(A)) ) ) ).
fof(rc2_hilbert4, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v2_funct_1(B) &  (v1_partfun1(B, A) &  (v1_funct_2(B, A, A) &  (v2_funct_2(B, A) &  (v3_funct_2(B, A, A) &  (v1_partit_2(B) & v4_fomodel0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_hilbert4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_partit_2(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) ) ) ) ).
fof(fc1_hilbert4, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) &  (v3_funct_2(B, A, A) &  (v1_partit_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  =>  (v1_relat_1(k2_funct_1(B)) &  (v1_funct_1(k2_funct_1(B)) & v1_partit_2(k2_funct_1(B))) ) ) ) ).
fof(fc2_hilbert4, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ~ (v2_abian(k6_funct_4(k5_numbers, A, A, k5_numbers))) ) ) ).
fof(fc3_hilbert4, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (v7_ordinal1(B) & v8_ordinal1(B)) )  => v1_xboole_0(k32_fomodel0(k6_funct_4(B, A, A, B)))) ) ).
fof(rc3_hilbert4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v2_funct_1(B) &  (v1_partfun1(B, A) &  (v1_funct_2(B, A, A) &  (v2_funct_2(B, A) &  (v3_funct_2(B, A, A) &  (v1_partit_2(B) & v4_fomodel0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc4_hilbert4, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, A, A) &  (v1_partit_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, B, B) &  (v1_partit_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) ) )  =>  (v1_relat_1(k15_funct_3(C, D)) &  (v1_funct_1(k15_funct_3(C, D)) & v1_partit_2(k15_funct_3(C, D))) ) ) ) ).
fof(fc5_hilbert4, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, A) &  (v3_funct_2(C, A, A) &  (v1_partit_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, B, B) &  (v3_funct_2(D, B, B) &  (v1_partit_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) ) ) ) ) )  =>  (v1_funct_1(k1_hilbert3(A, B, C, D)) &  (v1_funct_2(k1_hilbert3(A, B, C, D), k9_funct_2(A, B), k9_funct_2(A, B)) & v1_partit_2(k1_hilbert3(A, B, C, D))) ) ) ) ).
fof(fc6_hilbert4, axiom,  (! [A] :  (v1_relat_1(k1_hilbert4(A)) & v1_funct_1(k1_hilbert4(A))) ) ).
fof(fc7_hilbert4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v1_xboole_0(k3_xboole_0(k4_hilbert4(A), k3_hilbert4(A)))) ) ).
fof(fc8_hilbert4, axiom,  (! [A] :  (v1_relat_1(k5_hilbert4(A)) & v1_funct_1(k5_hilbert4(A))) ) ).
fof(fc9_hilbert4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k7_hilbert4(A)) & v1_funct_1(k7_hilbert4(A))) ) ) ).
fof(fc10_hilbert4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k6_hilbert4(A)) & v1_funct_1(k6_hilbert4(A))) ) ) ).
fof(fc11_hilbert4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v4_relat_1(k7_hilbert4(A), k4_ordinal1)) ) ).
fof(fc12_hilbert4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v1_partfun1(k7_hilbert4(A), k4_ordinal1)) ) ).
fof(fc13_hilbert4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v4_relat_1(k6_hilbert4(A), k4_ordinal1)) ) ).
fof(fc14_hilbert4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v1_partfun1(k6_hilbert4(A), k4_ordinal1)) ) ).
fof(fc15_hilbert4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v2_relat_1(k7_hilbert4(A))) ) ).
fof(fc16_hilbert4, axiom,  (! [A] : v3_relat_2(k5_hilbert4(A))) ).
fof(fc17_hilbert4, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_hilbert1) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) ) )  =>  (v1_funct_1(k5_hilbert3(k7_hilbert4(B), k8_hilbert4(B), A)) &  (v1_funct_2(k5_hilbert3(k7_hilbert4(B), k8_hilbert4(B), A), k3_hilbert3(k7_hilbert4(B), A), k3_hilbert3(k7_hilbert4(B), A)) & v1_partit_2(k5_hilbert3(k7_hilbert4(B), k8_hilbert4(B), A))) ) ) ) ).
fof(cc2_hilbert4, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (v2_hilbert3(A) => v1_hilbert4(A)) ) ) ).
fof(fc18_hilbert4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) )  &  (v1_hilbert4(B) & m1_subset_1(B, k1_hilbert1)) )  =>  ~ (v1_xboole_0(k10_hilbert4(A, B))) ) ) ).
fof(t1_hilbert4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v2_funct_1(B)) )  =>  (k2_funct_1(A)=k2_funct_1(B) => A=B) ) ) ) ) ).
fof(t2_hilbert4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_partit_2(A)) )  =>  (r1_tarski(k10_xtuple_0(A), k9_xtuple_0(A)) => k3_relat_1(A, A)=k6_partfun1(k9_xtuple_0(A))) ) ) ).
fof(t3_hilbert4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (k3_relat_1(A, A)=k6_partfun1(k9_xtuple_0(A)) => v1_partit_2(A)) ) ) ).
fof(t4_hilbert4, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) &  (v1_partit_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  => r2_funct_2(A, A, k1_partfun1(A, A, A, A, B, B), k6_partfun1(A))) ) ) ).
fof(t5_hilbert4, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (r2_funct_2(A, A, k1_partfun1(A, A, A, A, B, B), k6_partfun1(A)) => v1_partit_2(B)) ) ) ) ).
fof(t6_hilbert4, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) ) )  =>  (! [C] :  (m1_hilbert3(C, B) =>  (! [D] :  (m1_subset_1(D, k1_hilbert1) =>  (! [E] :  (m1_subset_1(E, k1_hilbert1) =>  (r1_abian(A, k5_hilbert3(B, C, E)) => r1_abian(k7_funcop_1(k3_hilbert3(B, D), A), k5_hilbert3(B, C, k3_hilbert1(D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t7_hilbert4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  =>  (! [B] :  (m1_hilbert3(B, A) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (! [D] :  (m1_subset_1(D, k1_hilbert1) =>  (v2_abian(k5_hilbert3(A, B, D)) => v2_abian(k5_hilbert3(A, B, k3_hilbert1(C, D)))) ) ) ) ) ) ) ) ) ).
fof(t8_hilbert4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  =>  (! [B] :  (m1_hilbert3(B, A) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (! [D] :  (m1_subset_1(D, k1_hilbert1) =>  ~ ( (v2_abian(k5_hilbert3(A, B, C)) &  ( ~ (v2_abian(k5_hilbert3(A, B, D)))  & v2_abian(k5_hilbert3(A, B, k3_hilbert1(C, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_hilbert4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => k3_hilbert4(A)=k6_subset_1(k1_relat_1(A), k10_xtuple_0(k1_hilbert4(k2_hilbert4(A))))) ) ).
fof(d4_hilbert4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => k4_hilbert4(A)=k7_subset_1(k1_relat_1(A), k6_subset_1(k1_relat_1(A), k32_fomodel0(A)), k3_hilbert4(A))) ) ).
fof(d5_hilbert4, axiom,  (! [A] : k5_hilbert4(A)=k1_funct_4(k1_funct_4(k6_partfun1(1), k3_relat_1(k2_zfmisc_1(1, k1_funct_2(A, k1_xboole_0)), k2_zfmisc_1(k1_funct_2(A, k1_xboole_0), k6_domain_1(k4_ordinal1, 1)))), k3_relat_1(k2_zfmisc_1(k6_domain_1(k4_ordinal1, 1), k1_funct_2(A, k1_xboole_0)), k2_zfmisc_1(k1_funct_2(A, k1_xboole_0), k6_domain_1(k4_ordinal1, k5_numbers))))) ).
fof(t9_hilbert4, axiom,  (! [A] :  ( ~ (A=k1_xboole_0)  => k5_hilbert4(A)=k6_partfun1(1)) ) ).
fof(t10_hilbert4, axiom, k5_hilbert4(k1_xboole_0)=k7_funct_4(k4_ordinal1, k5_numbers, 1, 1, k5_numbers)).
fof(d8_hilbert4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k1_hilbert1) &  (v1_funct_1(B) & v1_partfun1(B, k1_hilbert1)) ) )  =>  (B=k9_hilbert4(A) <=>  (k1_funct_1(B, k2_hilbert1)=1 &  ( (! [C] :  (m1_subset_1(C, k4_ordinal1) => k1_funct_1(B, k1_hilbert2(C))=k1_funct_1(A, C)) )  &  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (! [D] :  (m1_subset_1(D, k1_hilbert1) =>  (k1_funct_1(B, k4_hilbert1(C, D))=k2_zfmisc_1(k1_funct_1(B, C), k1_funct_1(B, D)) & k1_funct_1(B, k3_hilbert1(C, D))=k1_funct_2(k1_funct_1(B, C), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_hilbert4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) => k10_hilbert4(A, B)=k1_funct_1(k9_hilbert4(A), B)) ) ) ) ).
fof(d10_hilbert4, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (v1_hilbert4(A) <=>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) )  =>  ~ (k10_hilbert4(B, A)=k1_xboole_0) ) ) ) ) ) ).
fof(dt_k8_hilbert4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => m1_hilbert3(k8_hilbert4(A), k7_hilbert4(A))) ) ).
fof(redefinition_k8_hilbert4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => k8_hilbert4(A)=k6_hilbert4(A)) ) ).
fof(dt_k9_hilbert4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) )  =>  (v1_relat_1(k9_hilbert4(A)) &  (v4_relat_1(k9_hilbert4(A), k1_hilbert1) &  (v1_funct_1(k9_hilbert4(A)) & v1_partfun1(k9_hilbert4(A), k1_hilbert1)) ) ) ) ) ).
fof(d1_hilbert4, axiom,  (! [A] : k1_hilbert4(A)=a_1_0_hilbert4(A)) ).
fof(d2_hilbert4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => k2_hilbert4(A)=a_1_1_hilbert4(A)) ) ).
fof(d6_hilbert4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => k6_hilbert4(A)=a_1_2_hilbert4(A)) ) ).
fof(d7_hilbert4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => k7_hilbert4(A)=a_1_3_hilbert4(A)) ) ).
fof(fraenkel_a_1_0_hilbert4, axiom,  (! [A, B] :  (r2_hidden(A, a_1_0_hilbert4(B)) <=>  (? [C] :  (m1_subset_1(C, k6_subset_1(B, k1_tarski(k1_xboole_0))) &  (A=k4_tarski(C, o_2_0_hilbert4(B, C)) & r2_tarski(C, k6_subset_1(B, k1_tarski(k1_xboole_0)))) ) ) ) ) ).
fof(dt_o_2_0_hilbert4, axiom,  (! [A, B] :  (m1_subset_1(B, k6_subset_1(A, k1_tarski(k1_xboole_0))) => m1_subset_1(o_2_0_hilbert4(A, B), B)) ) ).
fof(fraenkel_a_1_1_hilbert4, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_hidden(A, a_1_1_hilbert4(B)) <=>  (? [C] :  (m1_subset_1(C, k9_xtuple_0(B)) &  (A=k2_tarski(C, k1_funct_1(B, C)) & r2_tarski(C, k9_xtuple_0(B))) ) ) ) ) ) ).
fof(fraenkel_a_1_2_hilbert4, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_hidden(A, a_1_2_hilbert4(B)) <=>  (? [C] :  (m1_subset_1(C, k4_ordinal1) & A=k4_tarski(C, k5_hilbert4(k1_funct_1(B, C)))) ) ) ) ) ).
fof(fraenkel_a_1_3_hilbert4, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_hidden(A, a_1_3_hilbert4(B)) <=>  (? [C] :  (m1_subset_1(C, k4_ordinal1) & A=k4_tarski(C, k9_xtuple_0(k5_hilbert4(k1_funct_1(B, C))))) ) ) ) ) ).
fof(fc1_holder_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ (v1_xboole_0(k2_limfunc1(A))) ) ) ).
fof(t1_holder_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  (? [C] :  (v1_xreal_0(C) &  (r1_xxreal_0(k5_numbers, C) &  ~ (k3_xcmplx_0(k2_power(C, A), k2_power(C, B))=k2_power(C, k2_xcmplx_0(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_holder_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  (? [C] :  (v1_xreal_0(C) &  (r1_xxreal_0(k5_numbers, C) &  ~ (k2_power(k2_power(C, A), B)=k2_power(C, k3_xcmplx_0(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_holder_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r1_xxreal_0(k5_numbers, A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_xxreal_0(k5_numbers, B) & r1_xxreal_0(B, C))  => r1_xxreal_0(k2_power(B, A), k2_power(C, A))) ) ) ) ) ) ) ) ).
fof(t4_holder_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (k2_xcmplx_0(k7_xcmplx_0(1, C), k7_xcmplx_0(1, D))=1 =>  (r1_xxreal_0(C, 1) |  (r1_xxreal_0(A, k5_numbers) |  (r1_xxreal_0(B, k5_numbers) |  (r1_xxreal_0(k3_xcmplx_0(A, B), k2_xcmplx_0(k7_xcmplx_0(k6_prepower(A, C), C), k7_xcmplx_0(k6_prepower(B, D), D))) &  ( (k3_xcmplx_0(A, B)=k2_xcmplx_0(k7_xcmplx_0(k6_prepower(A, C), C), k7_xcmplx_0(k6_prepower(B, D), D)) => k6_prepower(A, C)=k6_prepower(B, D))  &  (k6_prepower(A, C)=k6_prepower(B, D) => k3_xcmplx_0(A, B)=k2_xcmplx_0(k7_xcmplx_0(k6_prepower(A, C), C), k7_xcmplx_0(k6_prepower(B, D), D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_holder_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (k2_xcmplx_0(k7_xcmplx_0(1, C), k7_xcmplx_0(1, D))=1 &  (r1_xxreal_0(k5_numbers, A) & r1_xxreal_0(k5_numbers, B)) )  =>  (r1_xxreal_0(C, 1) |  (r1_xxreal_0(k3_xcmplx_0(A, B), k2_xcmplx_0(k7_xcmplx_0(k2_power(A, C), C), k7_xcmplx_0(k2_power(B, D), D))) &  ( (k3_xcmplx_0(A, B)=k2_xcmplx_0(k7_xcmplx_0(k2_power(A, C), C), k7_xcmplx_0(k2_power(B, D), D)) => k2_power(A, C)=k2_power(B, D))  &  (k2_power(A, C)=k2_power(B, D) => k3_xcmplx_0(A, B)=k2_xcmplx_0(k7_xcmplx_0(k2_power(A, C), C), k7_xcmplx_0(k2_power(B, D), D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_holder_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (k2_xcmplx_0(k7_xcmplx_0(1, A), k7_xcmplx_0(1, B))=1 =>  (r1_xxreal_0(A, 1) |  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (! [H] :  (v7_ordinal1(H) =>  (k8_nat_1(k1_numbers, E, H)=k2_power(k9_complex1(k8_nat_1(k1_numbers, C, H)), A) &  (k8_nat_1(k1_numbers, F, H)=k2_power(k9_complex1(k8_nat_1(k1_numbers, D, H)), B) & k8_nat_1(k1_numbers, G, H)=k9_complex1(k4_real_1(k8_nat_1(k1_numbers, C, H), k8_nat_1(k1_numbers, D, H)))) ) ) )  =>  (! [H] :  (v7_ordinal1(H) => r1_xxreal_0(k8_nat_1(k1_numbers, k3_series_1(G), H), k3_xcmplx_0(k2_power(k8_nat_1(k1_numbers, k3_series_1(E), H), k7_xcmplx_0(1, A)), k2_power(k8_nat_1(k1_numbers, k3_series_1(F), H), k7_xcmplx_0(1, B))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_holder_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (r1_xxreal_0(A, 1))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (! [G] :  (v7_ordinal1(G) =>  (k8_nat_1(k1_numbers, D, G)=k2_power(k9_complex1(k8_nat_1(k1_numbers, B, G)), A) &  (k8_nat_1(k1_numbers, E, G)=k2_power(k9_complex1(k8_nat_1(k1_numbers, C, G)), A) & k8_nat_1(k1_numbers, F, G)=k2_power(k9_complex1(k3_real_1(k8_nat_1(k1_numbers, B, G), k8_nat_1(k1_numbers, C, G))), A)) ) ) )  =>  (! [G] :  (v7_ordinal1(G) => r1_xxreal_0(k2_power(k8_nat_1(k1_numbers, k3_series_1(F), G), k7_xcmplx_0(1, A)), k2_xcmplx_0(k2_power(k8_nat_1(k1_numbers, k3_series_1(D), G), k7_xcmplx_0(1, A)), k2_power(k8_nat_1(k1_numbers, k3_series_1(E), G), k7_xcmplx_0(1, A))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_holder_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( ( (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k8_nat_1(k1_numbers, A, C), k8_nat_1(k1_numbers, B, C))) )  &  (v2_comseq_2(B) & v7_valued_0(A)) )  =>  (v2_comseq_2(A) & r1_xxreal_0(k1_seq_2(A), k1_seq_2(B))) ) ) ) ) ) ).
fof(t9_holder_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( ( (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k8_nat_1(k1_numbers, A, D), k3_real_1(k8_nat_1(k1_numbers, B, D), k8_nat_1(k1_numbers, C, D)))) )  &  (v2_comseq_2(B) &  (v2_comseq_2(C) & v7_valued_0(A)) ) )  =>  (v2_comseq_2(A) & r1_xxreal_0(k1_seq_2(A), k2_xcmplx_0(k1_seq_2(B), k1_seq_2(C)))) ) ) ) ) ) ) ) ).
fof(t10_holder_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_comseq_2(B) &  ( (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k5_numbers, k8_nat_1(k1_numbers, B, D))) )  &  (! [D] :  (v7_ordinal1(D) => k8_nat_1(k1_numbers, C, D)=k2_power(k8_nat_1(k1_numbers, B, D), A)) ) ) )  =>  (v2_comseq_2(C) & k1_seq_2(C)=k2_power(k1_seq_2(B), A)) ) ) ) ) ) ) ) ) ).
fof(t11_holder_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v1_series_1(B) &  ( (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k5_numbers, k8_nat_1(k1_numbers, B, D))) )  &  (! [D] :  (v7_ordinal1(D) => k8_nat_1(k1_numbers, C, D)=k2_power(k8_nat_1(k1_numbers, k3_series_1(B), D), A)) ) ) )  =>  (v2_comseq_2(C) &  (k1_seq_2(C)=k2_power(k4_series_1(B), A) &  (v7_valued_0(C) &  (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k8_nat_1(k1_numbers, C, D), k2_power(k4_series_1(B), A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_holder_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (k2_xcmplx_0(k7_xcmplx_0(1, A), k7_xcmplx_0(1, B))=1 =>  (r1_xxreal_0(A, 1) |  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( ( (! [H] :  (v7_ordinal1(H) =>  (k8_nat_1(k1_numbers, E, H)=k2_power(k9_complex1(k8_nat_1(k1_numbers, C, H)), A) &  (k8_nat_1(k1_numbers, F, H)=k2_power(k9_complex1(k8_nat_1(k1_numbers, D, H)), B) & k8_nat_1(k1_numbers, G, H)=k9_complex1(k4_real_1(k8_nat_1(k1_numbers, C, H), k8_nat_1(k1_numbers, D, H)))) ) ) )  &  (v1_series_1(E) & v1_series_1(F)) )  =>  (v1_series_1(G) & r1_xxreal_0(k4_series_1(G), k3_xcmplx_0(k2_power(k4_series_1(E), k7_xcmplx_0(1, A)), k2_power(k4_series_1(F), k7_xcmplx_0(1, B))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_holder_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (r1_xxreal_0(A, 1))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( ( (! [G] :  (v7_ordinal1(G) =>  (k8_nat_1(k1_numbers, D, G)=k2_power(k9_complex1(k8_nat_1(k1_numbers, B, G)), A) &  (k8_nat_1(k1_numbers, E, G)=k2_power(k9_complex1(k8_nat_1(k1_numbers, C, G)), A) & k8_nat_1(k1_numbers, F, G)=k2_power(k9_complex1(k3_real_1(k8_nat_1(k1_numbers, B, G), k8_nat_1(k1_numbers, C, G))), A)) ) ) )  &  (v1_series_1(D) & v1_series_1(E)) )  =>  (v1_series_1(F) & r1_xxreal_0(k2_power(k4_series_1(F), k7_xcmplx_0(1, A)), k2_xcmplx_0(k2_power(k4_series_1(D), k7_xcmplx_0(1, A)), k2_power(k4_series_1(E), k7_xcmplx_0(1, A))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_homothet, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  ( (r1_aff_1(A, D, B, C) &  (r1_aff_1(A, D, B, I) &  (r1_aff_1(A, D, B, J) &  (r1_aff_1(A, D, E, F) &  (r1_aff_1(A, D, E, G) &  (r1_aff_1(A, D, E, H) &  (r2_analoaf(A, B, E, C, F) &  (r2_analoaf(A, B, G, C, H) &  (r2_analoaf(A, I, E, J, F) & v4_aff_2(A)) ) ) ) ) ) ) ) )  =>  (r1_aff_1(A, D, B, E) |  (E=G |  (D=G |  (D=I | r2_analoaf(A, I, G, J, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_homothet, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  ( ~ (B=D)  &  (r1_aff_1(A, B, C, D) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(A)) &  (v3_funct_2(E, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  ~ ( (v6_transgeo(E, A) &  (k3_funct_2(u1_struct_0(A), u1_struct_0(A), E, B)=B & k3_funct_2(u1_struct_0(A), u1_struct_0(A), E, C)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) )  => v4_aff_2(A)) ) ) ).
fof(t3_homothet, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v4_aff_2(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  ( ~ (B=D)  &  (r1_aff_1(A, B, C, D) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(A)) &  (v3_funct_2(E, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  ~ ( (v6_transgeo(E, A) &  (k3_funct_2(u1_struct_0(A), u1_struct_0(A), E, B)=B & k3_funct_2(u1_struct_0(A), u1_struct_0(A), E, C)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_homothet, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v4_aff_2(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  ( ~ (B=D)  &  (r1_aff_1(A, B, C, D) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(A)) &  (v3_funct_2(E, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  ~ ( (v6_transgeo(E, A) &  (k3_funct_2(u1_struct_0(A), u1_struct_0(A), E, B)=B & k3_funct_2(u1_struct_0(A), u1_struct_0(A), E, C)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_homothet, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v3_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_homothet(A, B, C) <=>  (v8_transgeo(B, A) &  (v1_aff_1(C, A) &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, C) => k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, D)=D) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r2_aff_1(A, D, k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, D), C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_homothet, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(A)) &  (v3_funct_2(D, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  ( (r1_homothet(A, D, C) & k3_funct_2(u1_struct_0(A), u1_struct_0(A), D, B)=B)  =>  (r2_tarski(B, C) | r2_relset_1(u1_struct_0(A), u1_struct_0(A), D, k6_partfun1(u1_struct_0(A)))) ) ) ) ) ) ) ) ) ) ).
fof(t6_homothet, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_aff_1(A, B, C, D) &  ( ~ (r2_tarski(B, D))  &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(A)) &  (v3_funct_2(E, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  ~ ( (r1_homothet(A, E, D) & k3_funct_2(u1_struct_0(A), u1_struct_0(A), E, B)=C) ) ) ) ) ) ) ) ) ) ) ) )  => v7_aff_2(A)) ) ) ).
fof(t7_homothet, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(A))) =>  (! [K] :  (m1_subset_1(K, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r5_aff_1(A, K, J) &  (r2_tarski(D, K) &  (r2_tarski(F, K) &  (r2_tarski(E, K) &  (r2_tarski(G, K) &  (v7_aff_2(A) &  (r2_tarski(B, J) &  (r2_tarski(C, J) &  (r2_tarski(H, J) &  (r2_tarski(I, J) &  (r2_analoaf(A, D, B, E, H) &  (r2_analoaf(A, D, C, E, I) & r2_analoaf(A, F, B, G, H)) ) ) ) ) ) ) ) ) ) ) )  =>  (B=C |  (F=D | r2_analoaf(A, F, C, G, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_homothet, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_aff_1(A, B, C, D) &  ( ~ (r2_tarski(B, D))  &  (v7_aff_2(A) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(A)) &  (v3_funct_2(E, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  ~ ( (r1_homothet(A, E, D) & k3_funct_2(u1_struct_0(A), u1_struct_0(A), E, B)=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_homothet, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v7_aff_2(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_aff_1(A, B, C, D) &  ( ~ (r2_tarski(B, D))  &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(A)) &  (v3_funct_2(E, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  ~ ( (r1_homothet(A, E, D) & k3_funct_2(u1_struct_0(A), u1_struct_0(A), E, B)=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_huffman1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  =>  (v1_relat_1(k1_trees_4(B)) &  (v1_funct_1(k1_trees_4(B)) &  (v3_trees_2(k1_trees_4(B)) & v2_bintree1(k1_trees_4(B))) ) ) ) ) ).
fof(fc2_huffman1, axiom,  ~ (v1_xboole_0(k1_huffman1)) ).
fof(fc3_huffman1, axiom,  (! [A] :  (v1_relat_1(k1_trees_4(A)) &  (v1_funct_1(k1_trees_4(A)) &  (v2_funct_1(k1_trees_4(A)) & v3_trees_2(k1_trees_4(A))) ) ) ) ).
fof(cc1_huffman1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  & m2_prob_1(B, A, k1_random_1(A)))  =>  (! [C] :  (m2_huffman1(C, A, B) => v2_funct_1(C)) ) ) ) ).
fof(d1_huffman1, axiom, k1_huffman1=k2_zfmisc_1(k4_ordinal1, k1_numbers)).
fof(d2_huffman1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_trees_3(B, A) =>  (B=k2_huffman1(A) <=>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v1_funct_1(C) & v3_trees_2(C)) ) )  =>  ( (v1_finset_1(k9_xtuple_0(C)) & v2_bintree1(C))  <=> r2_tarski(C, B)) ) ) ) ) ) ) ) ).
fof(d5_huffman1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k1_huffman1) &  (v1_funct_1(A) & v3_trees_2(A)) ) )  => k5_huffman1(A)=k2_xtuple_0(k1_funct_1(A, k1_xboole_0))) ) ).
fof(d6_huffman1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k1_huffman1) &  (v1_funct_1(A) & v3_trees_2(A)) ) )  => k6_huffman1(A)=k1_xtuple_0(k1_funct_1(A, k1_xboole_0))) ) ).
fof(d7_huffman1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k1_huffman1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v3_trees_2(A) & v2_bintree1(A)) ) ) ) )  =>  (! [B] :  (m1_trees_1(B, k9_xtuple_0(A)) => k7_huffman1(A, B)=k2_xtuple_0(k3_trees_2(k1_huffman1, A, B))) ) ) ) ).
fof(d8_huffman1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k1_huffman1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v3_trees_2(A) & v2_bintree1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k1_huffman1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v3_trees_2(B) & v2_bintree1(B)) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) => k8_huffman1(A, B, C)=k6_trees_4(k4_tarski(C, k2_xcmplx_0(k5_huffman1(A), k5_huffman1(B))), A, B)) ) ) ) ) ) ).
fof(t1_huffman1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_huffman1(k1_huffman1)))) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k1_huffman1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v3_trees_2(B) & v2_bintree1(B)) ) ) ) )  =>  (A=k1_tarski(B) => k9_huffman1(A)=k6_huffman1(B)) ) ) ) ) ).
fof(t2_huffman1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_huffman1(k1_huffman1)))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_huffman1(k1_huffman1)))) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_huffman1(k1_huffman1)))) )  =>  (C=k4_subset_1(k2_huffman1(k1_huffman1), A, B) => k9_huffman1(C)=k4_xxreal_0(k9_huffman1(A), k9_huffman1(B))) ) ) ) ) ) ) ).
fof(t3_huffman1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_huffman1(k1_huffman1)))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_huffman1(k1_huffman1)))) )  =>  (! [C] :  (B=k7_subset_1(k2_huffman1(k1_huffman1), A, C) => r1_xxreal_0(k9_huffman1(B), k9_huffman1(A))) ) ) ) ) ) ).
fof(t4_huffman1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_huffman1(k1_huffman1)))) )  =>  (! [B] :  (m1_subset_1(B, k2_huffman1(k1_huffman1)) =>  (r2_tarski(B, A) => r1_xxreal_0(k6_huffman1(B), k9_huffman1(A))) ) ) ) ) ).
fof(d10_huffman1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_huffman1(k1_huffman1)))) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k1_huffman1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v3_trees_2(B) & v2_bintree1(B)) ) ) ) )  =>  (m1_huffman1(B, A) <=>  (r2_tarski(B, A) &  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k1_huffman1) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v3_trees_2(C) & v2_bintree1(C)) ) ) ) )  =>  (r2_tarski(C, A) => r1_xxreal_0(k5_huffman1(B), k5_huffman1(C))) ) ) ) ) ) ) ) ) ).
fof(t5_huffman1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m2_prob_1(B, A, k1_random_1(A)) => k4_card_1(k4_huffman1(A, B))=k4_card_1(A)) ) ) ) ).
fof(t6_huffman1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_huffman1(k1_huffman1)))) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k1_huffman1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v3_trees_2(B) & v2_bintree1(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k1_huffman1) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v3_trees_2(C) & v2_bintree1(C)) ) ) ) )  =>  ~ (r2_tarski(k8_huffman1(C, B, k1_nat_1(k9_huffman1(A), 1)), A)) ) ) ) ) ) ) ).
fof(t7_huffman1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k1_huffman1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v3_trees_2(A) & v2_bintree1(A)) ) ) ) )  => k10_huffman1(k1_tarski(A))=k6_domain_1(k1_zfmisc_1(k1_huffman1), k6_trees_2(k1_huffman1, A))) ) ).
fof(t8_huffman1, axiom,  (! [A] :  (! [B] : k10_huffman1(k2_xboole_0(A, B))=k4_subset_1(k1_zfmisc_1(k1_huffman1), k10_huffman1(A), k10_huffman1(B))) ) ).
fof(t9_huffman1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_trees_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_trees_1(B))  =>  ~ (r2_tarski(k1_xboole_0, k3_trees_1(k13_trees_3(B, A)))) ) ) ) ) ).
fof(t11_huffman1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_trees_2(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_trees_2(B)) )  =>  (! [C] :  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  (r2_tarski(D, k9_xtuple_0(B)) => k1_funct_1(k6_trees_4(C, B, A), k8_finseq_1(k4_ordinal1, k14_trees_3(k5_numbers), D))=k1_funct_1(B, D)) ) ) ) ) ) ) ) ).
fof(t12_huffman1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_trees_2(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_trees_2(B)) )  =>  (! [C] :  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  (r2_tarski(D, k9_xtuple_0(A)) => k1_funct_1(k6_trees_4(C, B, A), k8_finseq_1(k4_ordinal1, k14_trees_3(1), D))=k1_funct_1(A, D)) ) ) ) ) ) ) ) ).
fof(t13_huffman1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_trees_2(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_trees_2(B)) )  =>  (! [C] : k4_trees_2(k6_trees_4(C, B, A))=k2_xboole_0(k4_trees_2(B), k4_trees_2(A))) ) ) ) ) ).
fof(t14_huffman1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k1_huffman1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v3_trees_2(B) & v2_bintree1(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k1_huffman1) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v3_trees_2(C) & v2_bintree1(C)) ) ) ) )  => k3_tarski(k10_huffman1(k2_tarski(B, C)))=k3_tarski(k10_huffman1(k1_tarski(k8_huffman1(C, B, A))))) ) ) ) ) ) ).
fof(t15_huffman1, axiom, k3_trees_1(k2_trees_1(k5_numbers))=k2_trees_1(k5_numbers)).
fof(t16_huffman1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v3_trees_2(C) & v2_bintree1(C)) ) ) ) )  =>  (C=k1_trees_4(A) => k6_trees_2(B, C)=k1_tarski(A)) ) ) ) ) ) ).
fof(d12_huffman1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m2_prob_1(B, A, k1_random_1(A)) =>  (! [C] :  (m1_trees_4(C, k1_zfmisc_1(k2_huffman1(k1_huffman1)), k3_huffman1(k1_huffman1)) =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  (r1_huffman1(A, B, C, D) <=>  (k1_funct_1(C, 1)=k4_huffman1(A, B) &  (k3_finseq_1(C)=k4_card_1(A) &  ( (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, E) &  ( ~ (r1_xxreal_0(k3_finseq_1(C), E))  &  (! [F] :  ( ( ~ (v1_xboole_0(F))  &  (v1_finset_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_huffman1(k1_huffman1)))) )  =>  (! [G] :  ( ( ~ (v1_xboole_0(G))  &  (v1_finset_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_huffman1(k1_huffman1)))) )  =>  (! [H] :  (m1_huffman1(H, F) =>  (! [I] :  (m1_huffman1(I, G) =>  (! [J] :  ( (v1_relat_1(J) &  (v5_relat_1(J, k1_huffman1) &  (v1_funct_1(J) &  (v1_finset_1(J) &  (v3_trees_2(J) & v2_bintree1(J)) ) ) ) )  =>  ~ ( (k1_funct_1(C, E)=F &  (G=k7_subset_1(k2_huffman1(k1_huffman1), F, k1_tarski(H)) &  (r2_tarski(J, k2_tarski(k8_huffman1(I, H, k1_nat_1(k9_huffman1(F), 1)), k8_huffman1(H, I, k1_nat_1(k9_huffman1(F), 1)))) & k1_funct_1(C, k1_nat_1(E, 1))=k2_xboole_0(k7_subset_1(k2_huffman1(k1_huffman1), F, k2_tarski(I, H)), k1_tarski(J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (? [E] :  ( (v1_relat_1(E) &  (v5_relat_1(E, k1_huffman1) &  (v1_funct_1(E) &  (v1_finset_1(E) &  (v3_trees_2(E) & v2_bintree1(E)) ) ) ) )  & k1_tarski(E)=k1_funct_1(C, k3_finseq_1(C))) )  &  (k4_finseq_1(D)=k2_finseq_1(k4_card_1(A)) &  ( (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k2_finseq_1(k4_card_1(A))) =>  (k1_funct_1(D, E)=k1_card_1(k1_funct_1(C, E)) &  ~ (k1_funct_1(D, E)=k5_numbers) ) ) ) )  &  ( (! [E] :  (v7_ordinal1(E) =>  ( ~ (r1_xxreal_0(k4_card_1(A), E))  => k1_funct_1(D, k1_nat_1(E, 1))=k6_xcmplx_0(k1_funct_1(D, 1), E)) ) )  &  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(1, E) =>  (r1_xxreal_0(k4_card_1(A), E) | r1_xxreal_0(2, k1_funct_1(D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_huffman1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m2_prob_1(B, A, k1_random_1(A)) =>  (? [C] :  (m1_trees_4(C, k1_zfmisc_1(k2_huffman1(k1_huffman1)), k3_huffman1(k1_huffman1)) &  (? [D] :  (m2_finseq_1(D, k4_ordinal1) & r1_huffman1(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(d13_huffman1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m2_prob_1(B, A, k1_random_1(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k1_huffman1) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v3_trees_2(C) & v2_bintree1(C)) ) ) ) )  =>  (m2_huffman1(C, A, B) <=>  (? [D] :  (m1_trees_4(D, k1_zfmisc_1(k2_huffman1(k1_huffman1)), k3_huffman1(k1_huffman1)) &  (? [E] :  (m2_finseq_1(E, k4_ordinal1) &  (r1_huffman1(A, B, D, E) & k1_tarski(C)=k1_funct_1(D, k3_finseq_1(D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_huffman1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m2_prob_1(B, A, k1_random_1(A)) =>  (! [C] :  (m1_trees_4(C, k1_zfmisc_1(k2_huffman1(k1_huffman1)), k3_huffman1(k1_huffman1)) =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  (r1_huffman1(A, B, C, D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( (v1_relat_1(F) &  (v5_relat_1(F, k1_huffman1) &  (v1_funct_1(F) &  (v1_finset_1(F) &  (v3_trees_2(F) & v2_bintree1(F)) ) ) ) )  =>  (! [G] :  (m1_trees_1(G, k9_xtuple_0(F)) =>  (! [H] :  (m1_trees_1(H, k9_xtuple_0(F)) =>  (! [I] :  (m1_trees_1(I, k9_xtuple_0(F)) =>  ( (r2_tarski(F, k1_funct_1(C, E)) &  (r2_tarski(G, k6_subset_1(k9_xtuple_0(F), k3_trees_1(k9_xtuple_0(F)))) &  (H=k8_finseq_1(k4_ordinal1, G, k14_trees_3(k5_numbers)) & I=k8_finseq_1(k4_ordinal1, G, k14_trees_3(1))) ) )  => k7_huffman1(F, G)=k2_xcmplx_0(k7_huffman1(F, H), k7_huffman1(F, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_huffman1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m2_prob_1(B, A, k1_random_1(A)) =>  (! [C] :  (m2_huffman1(C, A, B) =>  (! [D] :  (m1_trees_1(D, k9_xtuple_0(C)) =>  (! [E] :  (m1_trees_1(E, k9_xtuple_0(C)) =>  (! [F] :  (m1_trees_1(F, k9_xtuple_0(C)) =>  ( (r2_tarski(D, k6_subset_1(k9_xtuple_0(C), k3_trees_1(k9_xtuple_0(C)))) &  (E=k8_finseq_1(k4_ordinal1, D, k14_trees_3(k5_numbers)) & F=k8_finseq_1(k4_ordinal1, D, k14_trees_3(1))) )  => k7_huffman1(C, D)=k2_xcmplx_0(k7_huffman1(C, E), k7_huffman1(C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_huffman1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_huffman1(k1_huffman1)))) )  =>  ( (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k1_huffman1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v3_trees_2(B) & v2_bintree1(B)) ) ) ) )  =>  (r2_tarski(B, A) =>  (! [C] :  (m1_trees_1(C, k9_xtuple_0(B)) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (D=k1_xtuple_0(k3_trees_2(k1_huffman1, B, C)) => r1_xxreal_0(D, k9_huffman1(A))) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k1_huffman1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v3_trees_2(B) & v2_bintree1(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k1_huffman1) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v3_trees_2(C) & v2_bintree1(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, k1_huffman1) &  (v1_funct_1(D) &  (v1_finset_1(D) &  (v3_trees_2(D) & v2_bintree1(D)) ) ) ) )  =>  ( (r2_tarski(B, A) &  (r2_tarski(C, A) & D=k8_huffman1(C, B, k1_nat_1(k9_huffman1(A), 1))) )  =>  (! [E] :  (m1_trees_1(E, k9_xtuple_0(D)) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (F=k1_xtuple_0(k3_trees_2(k1_huffman1, D, E)) => r1_xxreal_0(F, k1_nat_1(k9_huffman1(A), 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_huffman1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m2_prob_1(B, A, k1_random_1(A)) =>  (! [C] :  (m1_trees_4(C, k1_zfmisc_1(k2_huffman1(k1_huffman1)), k3_huffman1(k1_huffman1)) =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  (r1_huffman1(A, B, C, D) =>  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(1, E) =>  (r1_xxreal_0(k3_finseq_1(C), E) |  (! [F] :  ( ( ~ (v1_xboole_0(F))  &  (v1_finset_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_huffman1(k1_huffman1)))) )  =>  (! [G] :  ( ( ~ (v1_xboole_0(G))  &  (v1_finset_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_huffman1(k1_huffman1)))) )  =>  ( (F=k1_funct_1(C, E) & G=k1_funct_1(C, k1_nat_1(E, 1)))  => k9_huffman1(G)=k1_nat_1(k9_huffman1(F), 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_huffman1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m2_prob_1(B, A, k1_random_1(A)) =>  (! [C] :  (m1_trees_4(C, k1_zfmisc_1(k2_huffman1(k1_huffman1)), k3_huffman1(k1_huffman1)) =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  (r1_huffman1(A, B, C, D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  &  (v1_finset_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_huffman1(k1_huffman1)))) )  =>  (F=k1_funct_1(C, E) =>  (! [G] :  ( (v1_relat_1(G) &  (v5_relat_1(G, k1_huffman1) &  (v1_funct_1(G) &  (v1_finset_1(G) &  (v3_trees_2(G) & v2_bintree1(G)) ) ) ) )  =>  (r2_tarski(G, F) =>  (! [H] :  (m1_trees_1(H, k9_xtuple_0(G)) =>  (! [I] :  (m1_subset_1(I, k4_ordinal1) =>  (I=k1_xtuple_0(k3_trees_2(k1_huffman1, G, H)) => r1_xxreal_0(I, k9_huffman1(F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_huffman1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m2_prob_1(B, A, k1_random_1(A)) =>  (! [C] :  (m1_trees_4(C, k1_zfmisc_1(k2_huffman1(k1_huffman1)), k3_huffman1(k1_huffman1)) =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  (r1_huffman1(A, B, C, D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  &  (v1_finset_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_huffman1(k1_huffman1)))) )  =>  (F=k1_funct_1(C, E) =>  (! [G] :  ( (v1_relat_1(G) &  (v5_relat_1(G, k1_huffman1) &  (v1_funct_1(G) &  (v1_finset_1(G) &  (v3_trees_2(G) & v2_bintree1(G)) ) ) ) )  =>  (r2_tarski(G, F) =>  (! [H] :  (m1_trees_1(H, k9_xtuple_0(G)) =>  (! [I] :  (m1_subset_1(I, k4_ordinal1) =>  (I=k1_xtuple_0(k3_trees_2(k1_huffman1, G, H)) => r1_xxreal_0(I, k9_huffman1(F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_huffman1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m2_prob_1(B, A, k1_random_1(A)) =>  (! [C] :  (m1_trees_4(C, k1_zfmisc_1(k2_huffman1(k1_huffman1)), k3_huffman1(k1_huffman1)) =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  (r1_huffman1(A, B, C, D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( (v1_relat_1(F) &  (v5_relat_1(F, k1_huffman1) &  (v1_funct_1(F) &  (v1_finset_1(F) &  (v3_trees_2(F) & v2_bintree1(F)) ) ) ) )  =>  (! [G] :  ( (v1_relat_1(G) &  (v5_relat_1(G, k1_huffman1) &  (v1_funct_1(G) &  (v1_finset_1(G) &  (v3_trees_2(G) & v2_bintree1(G)) ) ) ) )  =>  (! [H] :  ( ( ~ (v1_xboole_0(H))  &  (v1_finset_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_huffman1(k1_huffman1)))) )  =>  ( (H=k1_funct_1(C, E) &  (r2_tarski(F, H) & r2_tarski(G, H)) )  =>  (! [I] :  ( (v1_relat_1(I) &  (v5_relat_1(I, k1_huffman1) &  (v1_funct_1(I) &  (v1_finset_1(I) &  (v3_trees_2(I) & v2_bintree1(I)) ) ) ) )  =>  ~ ( (r2_tarski(I, H) & r2_hidden(k4_tarski(k1_nat_1(k9_huffman1(H), 1), k2_xcmplx_0(k5_huffman1(G), k5_huffman1(F))), k2_relset_1(k1_huffman1, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_huffman1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_huffman1(k1_huffman1)))) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k1_huffman1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v3_trees_2(B) & v2_bintree1(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k1_huffman1) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v3_trees_2(C) & v2_bintree1(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, k1_huffman1) &  (v1_funct_1(D) &  (v1_finset_1(D) &  (v3_trees_2(D) & v2_bintree1(D)) ) ) ) )  =>  ( ( (! [E] :  ( (v1_relat_1(E) &  (v5_relat_1(E, k1_huffman1) &  (v1_funct_1(E) &  (v1_finset_1(E) &  (v3_trees_2(E) & v2_bintree1(E)) ) ) ) )  =>  (r2_tarski(E, A) =>  (! [F] :  (m1_trees_1(F, k9_xtuple_0(E)) =>  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  (G=k1_xtuple_0(k3_trees_2(k1_huffman1, E, F)) => r1_xxreal_0(G, k9_huffman1(A))) ) ) ) ) ) ) )  &  ( (! [E] :  ( (v1_relat_1(E) &  (v5_relat_1(E, k1_huffman1) &  (v1_funct_1(E) &  (v1_finset_1(E) &  (v3_trees_2(E) & v2_bintree1(E)) ) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v5_relat_1(F, k1_huffman1) &  (v1_funct_1(F) &  (v1_finset_1(F) &  (v3_trees_2(F) & v2_bintree1(F)) ) ) ) )  =>  ( (r2_tarski(E, A) & r2_tarski(F, A))  =>  (E=F | k9_subset_1(k1_huffman1, k2_relset_1(k1_huffman1, E), k2_relset_1(k1_huffman1, F))=k1_xboole_0) ) ) ) ) )  &  (r2_tarski(B, A) &  (r2_tarski(C, A) & r2_tarski(D, k7_subset_1(k2_huffman1(k1_huffman1), A, k2_tarski(B, C)))) ) ) )  =>  (B=C | k9_subset_1(k1_huffman1, k2_relset_1(k1_huffman1, k8_huffman1(C, B, k1_nat_1(k9_huffman1(A), 1))), k2_relset_1(k1_huffman1, D))=k1_xboole_0) ) ) ) ) ) ) ) ) ) ).
fof(t29_huffman1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m2_prob_1(B, A, k1_random_1(A)) =>  (! [C] :  (m1_trees_4(C, k1_zfmisc_1(k2_huffman1(k1_huffman1)), k3_huffman1(k1_huffman1)) =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  (r1_huffman1(A, B, C, D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( (v1_relat_1(F) &  (v5_relat_1(F, k1_huffman1) &  (v1_funct_1(F) &  (v1_finset_1(F) &  (v3_trees_2(F) & v2_bintree1(F)) ) ) ) )  =>  (! [G] :  ( (v1_relat_1(G) &  (v5_relat_1(G, k1_huffman1) &  (v1_funct_1(G) &  (v1_finset_1(G) &  (v3_trees_2(G) & v2_bintree1(G)) ) ) ) )  =>  ( (r2_tarski(F, k1_funct_1(C, E)) & r2_tarski(G, k1_funct_1(C, E)))  =>  (F=G | k9_subset_1(k1_huffman1, k2_relset_1(k1_huffman1, F), k2_relset_1(k1_huffman1, G))=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_huffman1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_huffman1(k1_huffman1)))) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k1_huffman1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v3_trees_2(B) & v2_bintree1(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k1_huffman1) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v3_trees_2(C) & v2_bintree1(C)) ) ) ) )  =>  ( (v2_funct_1(B) &  (v2_funct_1(C) &  (r2_tarski(C, A) &  (r2_tarski(B, A) &  (k9_subset_1(k1_huffman1, k2_relset_1(k1_huffman1, B), k2_relset_1(k1_huffman1, C))=k1_xboole_0 &  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, k1_huffman1) &  (v1_funct_1(D) &  (v1_finset_1(D) &  (v3_trees_2(D) & v2_bintree1(D)) ) ) ) )  =>  ~ ( (r2_tarski(D, A) & r2_hidden(k4_tarski(k1_nat_1(k9_huffman1(A), 1), k2_xcmplx_0(k5_huffman1(C), k5_huffman1(B))), k2_relset_1(k1_huffman1, D))) ) ) ) ) ) ) ) )  => v2_funct_1(k8_huffman1(C, B, k1_nat_1(k9_huffman1(A), 1)))) ) ) ) ) ) ) ).
fof(t31_huffman1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m2_prob_1(B, A, k1_random_1(A)) =>  (! [C] :  (m1_trees_4(C, k1_zfmisc_1(k2_huffman1(k1_huffman1)), k3_huffman1(k1_huffman1)) =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  (r1_huffman1(A, B, C, D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( (v1_relat_1(F) &  (v5_relat_1(F, k1_huffman1) &  (v1_funct_1(F) &  (v1_finset_1(F) &  (v3_trees_2(F) & v2_bintree1(F)) ) ) ) )  =>  (r2_tarski(F, k1_funct_1(C, E)) => v2_funct_1(F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k2_huffman1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => m1_trees_3(k2_huffman1(A), A)) ) ).
fof(dt_k3_huffman1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v1_xboole_0(k3_huffman1(A)))  & m1_subset_1(k3_huffman1(A), k1_zfmisc_1(k1_zfmisc_1(k2_huffman1(A))))) ) ) ).
fof(dt_k4_huffman1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  & m2_prob_1(B, A, k1_random_1(A)))  =>  ( ~ (v1_xboole_0(k4_huffman1(A, B)))  &  (v1_finset_1(k4_huffman1(A, B)) & m1_subset_1(k4_huffman1(A, B), k1_zfmisc_1(k2_huffman1(k1_huffman1)))) ) ) ) ).
fof(dt_k5_huffman1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k1_huffman1) &  (v1_funct_1(A) & v3_trees_2(A)) ) )  => v1_xreal_0(k5_huffman1(A))) ) ).
fof(dt_k6_huffman1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k1_huffman1) &  (v1_funct_1(A) & v3_trees_2(A)) ) )  => v7_ordinal1(k6_huffman1(A))) ) ).
fof(dt_k7_huffman1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_relat_1(A, k1_huffman1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v3_trees_2(A) & v2_bintree1(A)) ) ) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  => v1_xreal_0(k7_huffman1(A, B))) ) ).
fof(dt_k8_huffman1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v5_relat_1(A, k1_huffman1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v3_trees_2(A) & v2_bintree1(A)) ) ) ) )  &  ( (v1_relat_1(B) &  (v5_relat_1(B, k1_huffman1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v3_trees_2(B) & v2_bintree1(B)) ) ) ) )  & v7_ordinal1(C)) )  =>  (v1_relat_1(k8_huffman1(A, B, C)) &  (v5_relat_1(k8_huffman1(A, B, C), k1_huffman1) &  (v1_funct_1(k8_huffman1(A, B, C)) &  (v1_finset_1(k8_huffman1(A, B, C)) &  (v3_trees_2(k8_huffman1(A, B, C)) & v2_bintree1(k8_huffman1(A, B, C))) ) ) ) ) ) ) ).
fof(dt_k9_huffman1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_huffman1(k1_huffman1)))) )  => v7_ordinal1(k9_huffman1(A))) ) ).
fof(dt_m1_huffman1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_huffman1(k1_huffman1)))) )  =>  (! [B] :  (m1_huffman1(B, A) =>  (v1_relat_1(B) &  (v5_relat_1(B, k1_huffman1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v3_trees_2(B) & v2_bintree1(B)) ) ) ) ) ) ) ) ) ).
fof(existence_m1_huffman1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_huffman1(k1_huffman1)))) )  =>  (? [B] : m1_huffman1(B, A)) ) ) ).
fof(dt_k10_huffman1, axiom,  (! [A] : m1_subset_1(k10_huffman1(A), k1_zfmisc_1(k1_zfmisc_1(k1_huffman1)))) ).
fof(dt_m2_huffman1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  & m2_prob_1(B, A, k1_random_1(A)))  =>  (! [C] :  (m2_huffman1(C, A, B) =>  (v1_relat_1(C) &  (v5_relat_1(C, k1_huffman1) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v3_trees_2(C) & v2_bintree1(C)) ) ) ) ) ) ) ) ) ).
fof(existence_m2_huffman1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  & m2_prob_1(B, A, k1_random_1(A)))  =>  (? [C] : m2_huffman1(C, A, B)) ) ) ).
fof(d3_huffman1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k3_huffman1(A)=a_1_0_huffman1(A)) ) ).
fof(d4_huffman1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m2_prob_1(B, A, k1_random_1(A)) => k4_huffman1(A, B)=a_2_0_huffman1(A, B)) ) ) ) ).
fof(d9_huffman1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_huffman1(k1_huffman1)))) )  =>  (! [B] :  (v7_ordinal1(B) =>  (B=k9_huffman1(A) <=>  (? [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(k4_ordinal1))) )  &  (C=a_1_1_huffman1(A) & B=k1_xxreal_2(C)) ) ) ) ) ) ) ) ).
fof(d11_huffman1, axiom,  (! [A] : k10_huffman1(A)=a_1_2_huffman1(A)) ).
fof(t10_huffman1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_trees_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_trees_1(B))  => k3_trees_1(k13_trees_3(B, A))=k2_xboole_0(a_1_3_huffman1(B), a_1_4_huffman1(A))) ) ) ) ).
fof(t18_huffman1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m2_prob_1(B, A, k1_random_1(A)) => k3_tarski(k10_huffman1(k4_huffman1(A, B)))=a_2_1_huffman1(A, B)) ) ) ) ).
fof(t19_huffman1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m2_prob_1(B, A, k1_random_1(A)) =>  (! [C] :  (m1_trees_4(C, k1_zfmisc_1(k2_huffman1(k1_huffman1)), k3_huffman1(k1_huffman1)) =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  (r1_huffman1(A, B, C, D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, k3_finseq_1(C)))  => k3_tarski(k10_huffman1(k1_funct_1(C, E)))=a_2_1_huffman1(A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_huffman1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m2_prob_1(B, A, k1_random_1(A)) =>  (! [C] :  (m2_huffman1(C, A, B) => k6_trees_2(k1_huffman1, C)=a_2_1_huffman1(A, B)) ) ) ) ) ) ).
fof(fraenkel_a_1_0_huffman1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (r2_hidden(A, a_1_0_huffman1(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_huffman1(B))) &  (A=C &  (v1_finset_1(C) &  ~ (C=k1_xboole_0) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_huffman1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  & m2_prob_1(C, B, k1_random_1(B)))  =>  (r2_hidden(A, a_2_0_huffman1(B, C)) <=>  (? [D] :  (m1_subset_1(D, k5_trees_3(k1_huffman1)) &  (A=D &  ( (v1_relat_1(D) &  (v5_relat_1(D, k1_huffman1) &  (v1_funct_1(D) &  (v1_finset_1(D) &  (v3_trees_2(D) & v2_bintree1(D)) ) ) ) )  &  (? [E] :  (m1_subset_1(E, B) & D=k1_trees_4(k4_tarski(k1_funct_1(k2_funct_1(k20_finseq_1(B)), E), k3_funct_2(k1_zfmisc_1(B), k1_numbers, C, k6_domain_1(B, E))))) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_1_huffman1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_huffman1(k1_huffman1)))) )  =>  (r2_hidden(A, a_1_1_huffman1(B)) <=>  (? [C] :  (m1_subset_1(C, k2_huffman1(k1_huffman1)) &  (A=k6_huffman1(C) & r2_tarski(C, B)) ) ) ) ) ) ).
fof(fraenkel_a_1_2_huffman1, axiom,  (! [A, B] :  (r2_hidden(A, a_1_2_huffman1(B)) <=>  (? [C] :  (m1_subset_1(C, k2_huffman1(k1_huffman1)) &  (A=k6_trees_2(k1_huffman1, C) & r2_tarski(C, B)) ) ) ) ) ).
fof(fraenkel_a_1_3_huffman1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  & v1_trees_1(B))  =>  (r2_hidden(A, a_1_3_huffman1(B)) <=>  (? [C] :  (m1_trees_1(C, B) &  (A=k8_finseq_1(k4_ordinal1, k14_trees_3(k5_numbers), C) & r2_tarski(C, k3_trees_1(B))) ) ) ) ) ) ).
fof(fraenkel_a_1_4_huffman1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  & v1_trees_1(B))  =>  (r2_hidden(A, a_1_4_huffman1(B)) <=>  (? [C] :  (m1_trees_1(C, B) &  (A=k8_finseq_1(k4_ordinal1, k14_trees_3(1), C) & r2_tarski(C, k3_trees_1(B))) ) ) ) ) ) ).
fof(fraenkel_a_2_1_huffman1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  & m2_prob_1(C, B, k1_random_1(B)))  =>  (r2_hidden(A, a_2_1_huffman1(B, C)) <=>  (? [D] :  (m1_subset_1(D, k2_zfmisc_1(k4_ordinal1, k1_numbers)) &  (A=D &  (? [E] :  (m1_subset_1(E, B) & D=k4_tarski(k1_funct_1(k2_funct_1(k20_finseq_1(B)), E), k3_funct_2(k1_zfmisc_1(B), k1_numbers, C, k6_domain_1(B, E)))) ) ) ) ) ) ) ) ).
fof(t1_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (B=k4_struct_0(A))  => k4_algstr_0(A, k9_algstr_0(A, B))=k9_algstr_0(A, k4_algstr_0(A, B))) ) ) ) ) ).
fof(t2_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ~ (k2_binop_1(u1_struct_0(A), k4_ordinal1, u1_struct_0(A), k4_group_1(A), k4_algstr_0(A, k1_group_1(A)), B)=k4_struct_0(A)) ) ) ) ) ).
fof(t3_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) &  (v3_group_1(A) & l4_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => k6_algstr_0(A, k2_binop_1(u1_struct_0(A), k4_ordinal1, u1_struct_0(A), k4_group_1(A), B, C), k2_binop_1(u1_struct_0(A), k4_ordinal1, u1_struct_0(A), k4_group_1(A), B, D))=k2_binop_1(u1_struct_0(A), k4_ordinal1, u1_struct_0(A), k4_group_1(A), B, k1_nat_1(C, D))) ) ) ) ) ) ) ) ).
fof(t4_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (k2_binop_1(u1_struct_0(A), k4_ordinal1, u1_struct_0(A), k4_group_1(A), k4_algstr_0(A, k1_group_1(A)), k2_nat_1(2, B))=k1_group_1(A) & k2_binop_1(u1_struct_0(A), k4_ordinal1, u1_struct_0(A), k4_group_1(A), k4_algstr_0(A, k1_group_1(A)), k1_nat_1(k2_nat_1(2, B), 1))=k4_algstr_0(A, k1_group_1(A))) ) ) ) ) ).
fof(t5_hurwitz, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k2_complfld(k2_binop_1(u1_struct_0(k1_complfld), k4_ordinal1, u1_struct_0(k1_complfld), k4_group_1(k1_complfld), A, B))=k2_binop_1(u1_struct_0(k1_complfld), k4_ordinal1, u1_struct_0(k1_complfld), k4_group_1(k1_complfld), k2_complfld(A), B)) ) ) ) ).
fof(t6_hurwitz, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k1_complfld)) =>  ( (k3_finseq_1(B)=k3_finseq_1(A) &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r2_tarski(C, k4_finseq_1(B)) => k7_partfun1(u1_struct_0(k1_complfld), B, C)=k2_complfld(k7_partfun1(u1_struct_0(k1_complfld), A, C))) ) ) )  => k4_rlvect_1(k1_complfld, B)=k2_complfld(k4_rlvect_1(k1_complfld, A))) ) ) ) ) ).
fof(t7_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r2_tarski(D, k4_finseq_1(B)) => k7_partfun1(u1_struct_0(A), B, D)=k4_algstr_0(A, k7_partfun1(u1_struct_0(A), C, D))) ) ) )  => k4_rlvect_1(A, B)=k4_algstr_0(A, k4_rlvect_1(A, C))) ) ) ) ) ) ) ).
fof(t8_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) => k6_algstr_0(A, B, k4_rlvect_1(A, C))=k4_rlvect_1(A, k9_fvsum_1(A, C, B))) ) ) ) ) ) ).
fof(t9_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k5_vfunct_1(k4_ordinal1, A, k9_polynom3(A)), k9_polynom3(A))) ) ).
fof(t10_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k5_vfunct_1(k4_ordinal1, A, k5_vfunct_1(k4_ordinal1, A, B)), B)) ) ) ) ).
fof(t11_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k5_vfunct_1(k4_ordinal1, A, k8_polynom3(A, B, C)), k8_polynom3(A, k5_vfunct_1(k4_ordinal1, A, B), k5_vfunct_1(k4_ordinal1, A, C)))) ) ) ) ) ) ).
fof(t12_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (r2_funct_2(k4_ordinal1, u1_struct_0(A), k5_vfunct_1(k4_ordinal1, A, k11_polynom3(A, B, C)), k11_polynom3(A, k5_vfunct_1(k4_ordinal1, A, B), C)) & r2_funct_2(k4_ordinal1, u1_struct_0(A), k5_vfunct_1(k4_ordinal1, A, k11_polynom3(A, B, C)), k11_polynom3(A, B, k5_vfunct_1(k4_ordinal1, A, C)))) ) ) ) ) ) ) ).
fof(d1_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k13_polynom3(A))) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (D=k1_hurwitz(A, B, C) <=>  (k3_finseq_1(D)=k3_finseq_1(B) &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ~ ( (r2_tarski(E, k4_finseq_1(D)) &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(F, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ~ ( (F=k1_funct_1(B, E) & k1_funct_1(D, E)=k8_nat_1(u1_struct_0(A), F, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k13_polynom3(A))) =>  (B=k4_rlvect_1(k13_polynom3(A), C) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => k8_nat_1(u1_struct_0(A), B, D)=k4_rlvect_1(A, k1_hurwitz(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t14_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_group_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k4_polynom5(A, k4_polynom5(A, B, D), C), k4_polynom5(A, B, k6_algstr_0(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t15_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k5_vfunct_1(k4_ordinal1, A, k4_polynom5(A, B, C)), k4_polynom5(A, B, k4_algstr_0(A, C)))) ) ) ) ) ) ).
fof(t16_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v1_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k5_vfunct_1(k4_ordinal1, A, k4_polynom5(A, B, C)), k4_polynom5(A, k5_vfunct_1(k4_ordinal1, A, B), C))) ) ) ) ) ) ).
fof(t17_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_vectsp_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k4_polynom5(A, B, k1_algstr_0(A, C, D)), k1_normsp_1(A, k4_polynom5(A, B, C), k4_polynom5(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t18_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_vectsp_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k4_polynom5(A, k1_normsp_1(A, B, C), D), k1_normsp_1(A, k4_polynom5(A, B, D), k4_polynom5(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t19_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k11_polynom3(A, B, k4_polynom5(A, C, D)), k4_polynom5(A, k11_polynom3(A, B, C), D))) ) ) ) ) ) ) ) ).
fof(d2_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => k2_hurwitz(A, B)=k6_xcmplx_0(k1_algseq_1(A, B), 1)) ) ) ) ).
fof(t20_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (k2_hurwitz(A, B)=k4_xcmplx_0(1) <=> r2_funct_2(k4_ordinal1, u1_struct_0(A), B, k9_polynom3(A))) ) ) ) ) ).
fof(t21_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ( ~ (k2_hurwitz(A, B)=k2_hurwitz(A, C))  => k2_hurwitz(A, k1_normsp_1(A, B, C))=k4_xxreal_0(k2_hurwitz(A, B), k2_hurwitz(A, C))) ) ) ) ) ) ) ).
fof(t22_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => r1_xxreal_0(k2_hurwitz(A, k8_polynom3(A, B, C)), k4_xxreal_0(k2_hurwitz(A, B), k2_hurwitz(A, C)))) ) ) ) ) ) ).
fof(t23_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ~ ( ( ~ (B=k9_polynom3(A))  &  ( ~ (C=k9_polynom3(A))  &  ~ (k2_hurwitz(A, k11_polynom3(A, B, C))=k2_xcmplx_0(k2_hurwitz(A, B), k2_hurwitz(A, C))) ) ) ) ) ) ) ) ) ) ).
fof(t24_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_group_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ~ ( (k2_hurwitz(A, B)=k5_numbers & v1_polynom5(B, A)) ) ) ) ) ) ).
fof(d3_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => k3_hurwitz(A, B, C)=k1_funct_4(k9_polynom3(A), k7_funct_4(u1_struct_0(A), k5_numbers, C, k4_algstr_0(A, k2_binop_1(u1_struct_0(A), k4_ordinal1, u1_struct_0(A), k4_group_1(A), B, C)), k1_group_1(A)))) ) ) ) ) ) ).
fof(t25_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( ~ (C=k5_numbers)  =>  (k8_nat_1(u1_struct_0(A), k3_hurwitz(A, B, C), k5_numbers)=k4_algstr_0(A, k2_binop_1(u1_struct_0(A), k4_ordinal1, u1_struct_0(A), k4_group_1(A), B, C)) & k8_nat_1(u1_struct_0(A), k3_hurwitz(A, B, C), C)=k1_group_1(A)) ) ) ) ) ) ) ) ).
fof(t26_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ~ ( ( ~ (C=k5_numbers)  &  ( ~ (C=D)  &  ~ (k8_nat_1(u1_struct_0(A), k3_hurwitz(A, B, D), C)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v4_vectsp_1(A) & l6_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => k2_hurwitz(A, k3_hurwitz(A, B, C))=C) ) ) ) ) ) ).
fof(t28_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (k2_hurwitz(A, B)=1 <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  ( ~ (C=k4_struct_0(A))  & r2_funct_2(k4_ordinal1, u1_struct_0(A), B, k4_polynom5(A, k3_hurwitz(A, D, 1), C))) ) ) ) ) ) ) ) ) ) ).
fof(t29_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_polynom4(A, k3_hurwitz(A, C, 1), B)=k5_algstr_0(A, B, C)) ) ) ) ) ) ).
fof(t30_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_polynom5(A, k3_hurwitz(A, B, 1), B)) ) ) ) ).
fof(d4_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (D=k4_hurwitz(A, B, C) <=>  ( (! [E] :  (v7_ordinal1(E) =>  ( ~ (r1_xxreal_0(C, E))  => k8_nat_1(u1_struct_0(A), D, E)=k1_binop_1(k4_group_1(A), B, k6_xcmplx_0(k6_xcmplx_0(C, E), 1))) ) )  &  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(C, E) => k8_nat_1(u1_struct_0(A), D, E)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v4_vectsp_1(A) & l6_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r1_xxreal_0(1, C) => k2_hurwitz(A, k4_hurwitz(A, B, C))=k6_xcmplx_0(C, 1)) ) ) ) ) ) ) ).
fof(t32_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_vectsp_1(A) &  (v4_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( ~ (r1_xxreal_0(C, 1))  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k11_polynom3(A, k3_hurwitz(A, B, 1), k4_hurwitz(A, B, C)), k3_hurwitz(A, B, C))) ) ) ) ) ) ) ).
fof(t33_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r1_polynom5(A, B, C) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ~ (r2_funct_2(k4_ordinal1, u1_struct_0(A), B, k12_polynom3(A, k3_hurwitz(A, C, 1), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ( ~ (C=k9_polynom3(A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (D=k5_hurwitz(A, B, C) <=>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(E, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  &  (r2_funct_2(k4_ordinal1, u1_struct_0(A), B, k8_polynom3(A, k12_polynom3(A, D, C), E)) &  ~ (r1_xxreal_0(k2_hurwitz(A, C), k2_hurwitz(A, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => k6_hurwitz(A, B, C)=k2_normsp_1(A, B, k12_polynom3(A, k5_hurwitz(A, B, C), C))) ) ) ) ) ) ).
fof(d7_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (r1_hurwitz(A, B, C) <=> r2_funct_2(k4_ordinal1, u1_struct_0(A), k6_hurwitz(A, B, C), k9_polynom3(A))) ) ) ) ) ) ) ).
fof(t34_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ( ~ (C=k9_polynom3(A))  =>  (r1_hurwitz(A, B, C) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  & r2_funct_2(k4_ordinal1, u1_struct_0(A), k12_polynom3(A, D, C), B)) ) ) ) ) ) ) ) ) ) ).
fof(t35_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_polynom5(A, B, C) => r1_hurwitz(A, B, k3_hurwitz(A, C, 1))) ) ) ) ) ) ) ).
fof(t36_hurwitz, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_polynom5(A, B, C) =>  (B=k9_polynom3(A) | k2_hurwitz(A, k5_hurwitz(A, B, k3_hurwitz(A, C, 1)))=k6_xcmplx_0(k2_hurwitz(A, B), 1)) ) ) ) ) ) ) ) ).
fof(d8_hurwitz, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) )  =>  (v1_hurwitz(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  ~ ( (r1_polynom5(k1_complfld, A, B) & r1_xxreal_0(k5_numbers, k3_complex1(B))) ) ) ) ) ) ) ).
fof(t37_hurwitz, axiom,  ~ (v1_hurwitz(k9_polynom3(k1_complfld))) ).
fof(t38_hurwitz, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  ( ~ (A=k4_struct_0(k1_complfld))  => v1_hurwitz(k4_polynom5(k1_complfld, k10_polynom3(k1_complfld), A))) ) ) ).
fof(t39_hurwitz, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  ( ~ (A=k4_struct_0(k1_complfld))  =>  (v1_hurwitz(k4_polynom5(k1_complfld, k3_hurwitz(k1_complfld, B, 1), A)) <=>  ~ (r1_xxreal_0(k5_numbers, k3_complex1(B))) ) ) ) ) ) ) ).
fof(t40_hurwitz, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  ( ~ (B=k4_struct_0(k1_complfld))  =>  (v1_hurwitz(A) <=> v1_hurwitz(k4_polynom5(k1_complfld, A, B))) ) ) ) ) ) ).
fof(t41_hurwitz, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(B, k1_complfld) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) )  =>  (v1_hurwitz(k12_polynom3(k1_complfld, A, B)) <=>  (v1_hurwitz(A) & v1_hurwitz(B)) ) ) ) ) ) ).
fof(d9_hurwitz, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(B, k1_complfld) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) )  =>  (B=k7_hurwitz(A) <=>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => k8_nat_1(u1_struct_0(k1_complfld), B, C)=k8_group_1(k1_complfld, k2_binop_1(u1_struct_0(k1_complfld), k4_ordinal1, u1_struct_0(k1_complfld), k4_group_1(k1_complfld), k4_algstr_0(k1_complfld, k1_group_1(k1_complfld)), C), k2_complfld(k8_nat_1(u1_struct_0(k1_complfld), A, C)))) ) ) ) ) ) ) ).
fof(t42_hurwitz, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) )  => k2_hurwitz(k1_complfld, k7_hurwitz(A))=k2_hurwitz(k1_complfld, A)) ) ).
fof(t44_hurwitz, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) => r2_funct_2(k4_ordinal1, u1_struct_0(k1_complfld), k7_hurwitz(k4_polynom5(k1_complfld, A, B)), k4_polynom5(k1_complfld, k7_hurwitz(A), k2_complfld(B)))) ) ) ) ).
fof(t45_hurwitz, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) )  => r2_funct_2(k4_ordinal1, u1_struct_0(k1_complfld), k7_hurwitz(k5_vfunct_1(k4_ordinal1, k1_complfld, A)), k5_vfunct_1(k4_ordinal1, k1_complfld, k7_hurwitz(A)))) ) ).
fof(t46_hurwitz, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(B, k1_complfld) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) )  => r2_funct_2(k4_ordinal1, u1_struct_0(k1_complfld), k7_hurwitz(k8_polynom3(k1_complfld, A, B)), k8_polynom3(k1_complfld, k7_hurwitz(A), k7_hurwitz(B)))) ) ) ) ).
fof(t47_hurwitz, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(B, k1_complfld) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) )  => r2_funct_2(k4_ordinal1, u1_struct_0(k1_complfld), k7_hurwitz(k12_polynom3(k1_complfld, A, B)), k12_polynom3(k1_complfld, k7_hurwitz(A), k7_hurwitz(B)))) ) ) ) ).
fof(t48_hurwitz, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) => k2_polynom4(k1_complfld, k7_hurwitz(k3_hurwitz(k1_complfld, B, 1)), A)=k5_algstr_0(k1_complfld, k4_algstr_0(k1_complfld, A), k2_complfld(B))) ) ) ) ).
fof(t49_hurwitz, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) )  =>  (v1_hurwitz(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  ~ ( (r1_xxreal_0(k5_numbers, k3_complex1(B)) & r1_xxreal_0(k9_complex1(k2_polynom4(k1_complfld, A, B)), k5_numbers)) ) ) ) ) ) ) ).
fof(t50_hurwitz, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) )  =>  ( (r1_xxreal_0(1, k2_hurwitz(k1_complfld, A)) & v1_hurwitz(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  ( ~ ( ( ~ (r1_xxreal_0(k5_numbers, k3_complex1(B)))  & r1_xxreal_0(k9_complex1(k2_polynom4(k1_complfld, k7_hurwitz(A), B)), k9_complex1(k2_polynom4(k1_complfld, A, B)))) )  &  ( ~ ( ( ~ (r1_xxreal_0(k3_complex1(B), k5_numbers))  & r1_xxreal_0(k9_complex1(k2_polynom4(k1_complfld, A, B)), k9_complex1(k2_polynom4(k1_complfld, k7_hurwitz(A), B)))) )  &  (k3_complex1(B)=k5_numbers => k9_complex1(k2_polynom4(k1_complfld, A, B))=k9_complex1(k2_polynom4(k1_complfld, k7_hurwitz(A), B))) ) ) ) ) ) ) ) ).
fof(d10_hurwitz, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) => k8_hurwitz(A, B)=k2_normsp_1(k1_complfld, k4_polynom5(k1_complfld, A, k2_polynom4(k1_complfld, k7_hurwitz(A), B)), k4_polynom5(k1_complfld, k7_hurwitz(A), k2_polynom4(k1_complfld, A, B)))) ) ) ) ).
fof(t51_hurwitz, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  ( ~ (r1_xxreal_0(k9_complex1(A), k9_complex1(B)))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(C, k1_complfld) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) )  =>  (r1_xxreal_0(1, k2_hurwitz(k1_complfld, C)) =>  (v1_hurwitz(C) <=> v1_hurwitz(k2_normsp_1(k1_complfld, k4_polynom5(k1_complfld, C, A), k4_polynom5(k1_complfld, k7_hurwitz(C), B)))) ) ) ) ) ) ) ) ) ).
fof(t52_hurwitz, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) )  =>  (r1_xxreal_0(1, k2_hurwitz(k1_complfld, A)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  (v1_hurwitz(A) =>  (r1_xxreal_0(k5_numbers, k3_complex1(B)) | v1_hurwitz(k5_hurwitz(k1_complfld, k8_hurwitz(A, B), k3_hurwitz(k1_complfld, B, 1)))) ) ) ) ) ) ) ).
fof(t53_hurwitz, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) )  =>  ~ ( (r1_xxreal_0(1, k2_hurwitz(k1_complfld, A)) &  ( (? [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) &  ( ~ (r1_xxreal_0(k5_numbers, k3_complex1(B)))  & r1_xxreal_0(k9_complex1(k2_polynom4(k1_complfld, k7_hurwitz(A), B)), k9_complex1(k2_polynom4(k1_complfld, A, B)))) ) )  & v1_hurwitz(A)) ) ) ) ) ).
fof(t54_hurwitz, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) )  =>  (r1_xxreal_0(1, k2_hurwitz(k1_complfld, A)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  ~ ( ( ~ (r1_xxreal_0(k5_numbers, k3_complex1(B)))  &  ( ~ (r1_xxreal_0(k9_complex1(k2_polynom4(k1_complfld, k7_hurwitz(A), B)), k9_complex1(k2_polynom4(k1_complfld, A, B))))  &  ~ ( (v1_hurwitz(A) <=> v1_hurwitz(k5_hurwitz(k1_complfld, k8_hurwitz(A, B), k3_hurwitz(k1_complfld, B, 1)))) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_hurwitz, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) )  &  (m1_finseq_1(B, u1_struct_0(k13_polynom3(A))) & m1_subset_1(C, k4_ordinal1)) )  => m2_finseq_1(k1_hurwitz(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k2_hurwitz, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  => v1_int_1(k2_hurwitz(A, B))) ) ).
fof(dt_k3_hurwitz, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l6_algstr_0(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, k4_ordinal1)) )  =>  (v1_funct_1(k3_hurwitz(A, B, C)) &  (v1_funct_2(k3_hurwitz(A, B, C), k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(k3_hurwitz(A, B, C), A) & m1_subset_1(k3_hurwitz(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ) ).
fof(dt_k4_hurwitz, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) & l6_algstr_0(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & v7_ordinal1(C)) )  =>  (v1_funct_1(k4_hurwitz(A, B, C)) &  (v1_funct_2(k4_hurwitz(A, B, C), k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(k4_hurwitz(A, B, C), A) & m1_subset_1(k4_hurwitz(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ) ).
fof(dt_k5_hurwitz, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k5_hurwitz(A, B, C)) &  (v1_funct_2(k5_hurwitz(A, B, C), k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(k5_hurwitz(A, B, C), A) & m1_subset_1(k5_hurwitz(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ) ).
fof(dt_k6_hurwitz, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k6_hurwitz(A, B, C)) &  (v1_funct_2(k6_hurwitz(A, B, C), k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(k6_hurwitz(A, B, C), A) & m1_subset_1(k6_hurwitz(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ) ).
fof(dt_k7_hurwitz, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) )  =>  (v1_funct_1(k7_hurwitz(A)) &  (v1_funct_2(k7_hurwitz(A), k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(k7_hurwitz(A), k1_complfld) & m1_subset_1(k7_hurwitz(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) ) ) ) ).
fof(involutiveness_k7_hurwitz, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) )  => k7_hurwitz(k7_hurwitz(A))=A) ) ).
fof(dt_k8_hurwitz, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) )  & m1_subset_1(B, u1_struct_0(k1_complfld)))  =>  (v1_funct_1(k8_hurwitz(A, B)) &  (v1_funct_2(k8_hurwitz(A, B), k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(k8_hurwitz(A, B), k1_complfld) & m1_subset_1(k8_hurwitz(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) ) ) ) ).
fof(rc1_hurwitz2, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld)))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_struct_0(k1_complfld)) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_partfun1(A, k4_ordinal1) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_valued_0(A) &  (v1_polynom1(A, k1_complfld) & v1_hurwitz(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_hurwitz2, axiom, v1_abian(k5_ordinal1)).
fof(fc2_hurwitz2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (v1_funct_1(k1_hurwitz2(A, B)) &  (v1_funct_2(k1_hurwitz2(A, B), k4_ordinal1, u1_struct_0(A)) & v1_polynom1(k1_hurwitz2(A, B), A)) ) ) ) ).
fof(fc3_hurwitz2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (v1_funct_1(k2_hurwitz2(A, B)) &  (v1_funct_2(k2_hurwitz2(A, B), k4_ordinal1, u1_struct_0(A)) & v1_polynom1(k2_hurwitz2(A, B), A)) ) ) ) ).
fof(rc2_hurwitz2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) & l6_algstr_0(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & v3_hurwitz2(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_hurwitz2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & v4_hurwitz2(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc4_hurwitz2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & v3_hurwitz2(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc5_hurwitz2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & v4_hurwitz2(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc4_hurwitz2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) & l6_algstr_0(A)) )  =>  (v1_funct_1(k9_polynom3(A)) &  (v1_funct_2(k9_polynom3(A), k4_ordinal1, u1_struct_0(A)) & v3_hurwitz2(k9_polynom3(A), A)) ) ) ) ).
fof(fc5_hurwitz2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (v1_funct_1(k9_polynom3(A)) &  (v1_funct_2(k9_polynom3(A), k4_ordinal1, u1_struct_0(A)) & v4_hurwitz2(k9_polynom3(A), A)) ) ) ) ).
fof(fc6_hurwitz2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (v1_funct_1(k10_polynom3(A)) &  (v1_funct_2(k10_polynom3(A), k4_ordinal1, u1_struct_0(A)) & v3_hurwitz2(k10_polynom3(A), A)) ) ) ) ).
fof(fc7_hurwitz2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) &  (v4_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v3_hurwitz2(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) &  (v3_hurwitz2(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ) )  =>  (v1_funct_1(k1_normsp_1(A, B, C)) &  (v1_funct_2(k1_normsp_1(A, B, C), k4_ordinal1, u1_struct_0(A)) & v3_hurwitz2(k1_normsp_1(A, B, C), A)) ) ) ) ).
fof(fc8_hurwitz2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) &  (v4_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v4_hurwitz2(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) &  (v4_hurwitz2(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ) )  =>  (v1_funct_1(k1_normsp_1(A, B, C)) &  (v1_funct_2(k1_normsp_1(A, B, C), k4_ordinal1, u1_struct_0(A)) & v4_hurwitz2(k1_normsp_1(A, B, C), A)) ) ) ) ).
fof(fc9_hurwitz2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (v1_funct_1(k1_hurwitz2(A, B)) &  (v1_funct_2(k1_hurwitz2(A, B), k4_ordinal1, u1_struct_0(A)) & v3_hurwitz2(k1_hurwitz2(A, B), A)) ) ) ) ).
fof(fc10_hurwitz2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (v1_funct_1(k2_hurwitz2(A, B)) &  (v1_funct_2(k2_hurwitz2(A, B), k4_ordinal1, u1_struct_0(A)) & v4_hurwitz2(k2_hurwitz2(A, B), A)) ) ) ) ).
fof(fc11_hurwitz2, axiom,  (v1_funct_1(k9_polynom3(k1_complfld)) &  (v1_funct_2(k9_polynom3(k1_complfld), k4_ordinal1, u1_struct_0(k1_complfld)) &  (v6_hurwitz2(k9_polynom3(k1_complfld)) &  ~ (v7_hurwitz2(k9_polynom3(k1_complfld))) ) ) ) ).
fof(fc12_hurwitz2, axiom,  (v1_funct_1(k10_polynom3(k1_complfld)) &  (v1_funct_2(k10_polynom3(k1_complfld), k4_ordinal1, u1_struct_0(k1_complfld)) &  (v6_hurwitz2(k10_polynom3(k1_complfld)) & v7_hurwitz2(k10_polynom3(k1_complfld))) ) ) ).
fof(rc6_hurwitz2, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld)))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_struct_0(k1_complfld)) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_partfun1(A, k4_ordinal1) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_valued_0(A) &  (v1_polynom1(A, k1_complfld) &  (v1_uproots(A, k1_complfld) &  (v6_hurwitz2(A) & v7_hurwitz2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_hurwitz2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld)))) =>  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) & v6_hurwitz2(A)) ) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v3_valued_0(A) & v1_polynom1(A, k1_complfld)) ) ) ) ) ) ).
fof(fc13_hurwitz2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) &  (v6_hurwitz2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) ) )  =>  (v1_funct_1(k1_hurwitz2(k1_complfld, A)) &  (v1_funct_2(k1_hurwitz2(k1_complfld, A), k4_ordinal1, u1_struct_0(k1_complfld)) & v6_hurwitz2(k1_hurwitz2(k1_complfld, A))) ) ) ) ).
fof(fc14_hurwitz2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) &  (v6_hurwitz2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) ) )  =>  (v1_funct_1(k2_hurwitz2(k1_complfld, A)) &  (v1_funct_2(k2_hurwitz2(k1_complfld, A), k4_ordinal1, u1_struct_0(k1_complfld)) & v6_hurwitz2(k2_hurwitz2(k1_complfld, A))) ) ) ) ).
fof(cc2_hurwitz2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld)))) =>  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) &  (v6_hurwitz2(A) & v9_hurwitz2(A)) ) ) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) &  (v6_hurwitz2(A) & v8_hurwitz2(A, k1_complfld)) ) ) ) ) ) ) ).
fof(cc3_hurwitz2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld)))) =>  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) &  (v6_hurwitz2(A) & v10_hurwitz2(A)) ) ) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) &  (v6_hurwitz2(A) & v8_hurwitz2(A, k1_complfld)) ) ) ) ) ) ) ).
fof(rc7_hurwitz2, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld)))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_struct_0(k1_complfld)) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_partfun1(A, k4_ordinal1) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) &  (v1_polynom1(A, k1_complfld) &  ( ~ (v1_ratfunc1(A, k1_complfld))  &  (v6_hurwitz2(A) & v9_hurwitz2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc15_hurwitz2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) &  (v1_uproots(A, k1_complfld) &  (v6_hurwitz2(A) &  (v8_hurwitz2(A, k1_complfld) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) ) ) ) )  =>  (v1_funct_1(k1_hurwitz2(k1_complfld, A)) &  (v1_funct_2(k1_hurwitz2(k1_complfld, A), k4_ordinal1, u1_struct_0(k1_complfld)) & v1_uproots(k1_hurwitz2(k1_complfld, A), k1_complfld)) ) ) ) ).
fof(fc16_hurwitz2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) &  ( ~ (v1_ratfunc1(A, k1_complfld))  &  (v6_hurwitz2(A) &  (v8_hurwitz2(A, k1_complfld) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) ) ) ) )  =>  (v1_funct_1(k2_hurwitz2(k1_complfld, A)) &  (v1_funct_2(k2_hurwitz2(k1_complfld, A), k4_ordinal1, u1_struct_0(k1_complfld)) & v1_uproots(k2_hurwitz2(k1_complfld, A), k1_complfld)) ) ) ) ).
fof(rc8_hurwitz2, axiom,  (? [A] :  (m1_ratfunc1(A, k1_complfld) &  ( ~ (v3_ratfunc1(A, k1_complfld))  &  (v5_hurwitz2(A, k1_complfld) &  (v11_hurwitz2(A) & v12_hurwitz2(A)) ) ) ) ) ).
fof(fc17_hurwitz2, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) &  (v6_hurwitz2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(B, k1_complfld) &  (v1_uproots(B, k1_complfld) &  (v6_hurwitz2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) ) ) ) )  => v11_hurwitz2(k4_tarski(A, B))) ) ).
fof(t1_hurwitz2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  ( (k4_complex1(A)=k5_ordinal1 & k3_complex1(B)=k5_ordinal1)  => k3_complex1(k7_xcmplx_0(A, B))=k5_ordinal1) ) ) ) ) ).
fof(t2_hurwitz2, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(A, k8_complex1(A))=k1_square_1(k9_complex1(A))) ) ).
fof(t3_hurwitz2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_abian(B) & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_binop_1(u1_struct_0(A), k4_ordinal1, u1_struct_0(A), k4_group_1(A), k4_algstr_0(A, C), B)=k2_binop_1(u1_struct_0(A), k4_ordinal1, u1_struct_0(A), k4_group_1(A), C, B)) ) ) ) ) ) ).
fof(t4_hurwitz2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_abian(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_binop_1(u1_struct_0(A), k4_ordinal1, u1_struct_0(A), k4_group_1(A), k4_algstr_0(A, C), B)=k4_algstr_0(A, k2_binop_1(u1_struct_0(A), k4_ordinal1, u1_struct_0(A), k4_group_1(A), C, B))) ) ) ) ) ) ).
fof(t5_hurwitz2, axiom,  (! [A] :  ( (v1_abian(A) & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  (k3_complex1(B)=k5_ordinal1 => k4_complex1(k2_binop_1(u1_struct_0(k1_complfld), k4_ordinal1, u1_struct_0(k1_complfld), k4_group_1(k1_complfld), B, A))=k5_ordinal1) ) ) ) ) ).
fof(t6_hurwitz2, axiom,  (! [A] :  ( ( ~ (v1_abian(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  (k3_complex1(B)=k5_ordinal1 => k3_complex1(k2_binop_1(u1_struct_0(k1_complfld), k4_ordinal1, u1_struct_0(k1_complfld), k4_group_1(k1_complfld), B, A))=k5_ordinal1) ) ) ) ) ).
fof(d1_hurwitz2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (C=k1_hurwitz2(A, B) <=>  (! [D] :  ( (v7_ordinal1(D) & v1_abian(D))  =>  (k8_nat_1(u1_struct_0(A), C, D)=k8_nat_1(u1_struct_0(A), B, D) &  (! [E] :  ( (v7_ordinal1(E) &  ~ (v1_abian(E)) )  => k8_nat_1(u1_struct_0(A), C, E)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_hurwitz2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (C=k2_hurwitz2(A, B) <=>  (! [D] :  ( (v7_ordinal1(D) & v1_abian(D))  =>  (k8_nat_1(u1_struct_0(A), C, D)=k4_struct_0(A) &  (! [E] :  ( (v7_ordinal1(E) &  ~ (v1_abian(E)) )  => k8_nat_1(u1_struct_0(A), C, E)=k8_nat_1(u1_struct_0(A), B, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_hurwitz2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (r2_funct_2(k4_ordinal1, u1_struct_0(A), k1_hurwitz2(A, k9_polynom3(A)), k9_polynom3(A)) & r2_funct_2(k4_ordinal1, u1_struct_0(A), k2_hurwitz2(A, k9_polynom3(A)), k9_polynom3(A))) ) ) ).
fof(t8_hurwitz2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l5_algstr_0(A))  =>  (r2_funct_2(k4_ordinal1, u1_struct_0(A), k1_hurwitz2(A, k10_polynom3(A)), k10_polynom3(A)) & r2_funct_2(k4_ordinal1, u1_struct_0(A), k2_hurwitz2(A, k10_polynom3(A)), k9_polynom3(A))) ) ) ).
fof(t9_hurwitz2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_algstr_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k1_normsp_1(A, k1_hurwitz2(A, B), k2_hurwitz2(A, B)), B)) ) ) ) ).
fof(t10_hurwitz2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_algstr_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k1_normsp_1(A, k2_hurwitz2(A, B), k1_hurwitz2(A, B)), B)) ) ) ) ).
fof(t11_hurwitz2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k2_normsp_1(A, B, k2_hurwitz2(A, B)), k1_hurwitz2(A, B))) ) ) ) ).
fof(t12_hurwitz2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k2_normsp_1(A, B, k1_hurwitz2(A, B)), k2_hurwitz2(A, B))) ) ) ) ).
fof(t13_hurwitz2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k2_normsp_1(A, k1_hurwitz2(A, B), B), k5_vfunct_1(k4_ordinal1, A, k2_hurwitz2(A, B)))) ) ) ) ).
fof(t14_hurwitz2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k2_normsp_1(A, k2_hurwitz2(A, B), B), k5_vfunct_1(k4_ordinal1, A, k1_hurwitz2(A, B)))) ) ) ) ).
fof(t15_hurwitz2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k1_hurwitz2(A, k8_polynom3(A, B, C)), k8_polynom3(A, k1_hurwitz2(A, B), k1_hurwitz2(A, C)))) ) ) ) ) ) ).
fof(t16_hurwitz2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k2_hurwitz2(A, k8_polynom3(A, B, C)), k8_polynom3(A, k2_hurwitz2(A, B), k2_hurwitz2(A, C)))) ) ) ) ) ) ).
fof(t17_hurwitz2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (v1_abian(k2_hurwitz(A, B)) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k1_hurwitz2(A, k1_polynom4(A, B)), k1_polynom4(A, B))) ) ) ) ) ).
fof(t18_hurwitz2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ( ~ (v1_abian(k2_hurwitz(A, B)))  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k1_hurwitz2(A, k1_polynom4(A, B)), k9_polynom3(A))) ) ) ) ) ).
fof(t19_hurwitz2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (v1_abian(k2_hurwitz(A, B)) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k2_hurwitz2(A, k1_polynom4(A, B)), k9_polynom3(A))) ) ) ) ) ).
fof(t20_hurwitz2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ( ~ (v1_abian(k2_hurwitz(A, B)))  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k2_hurwitz2(A, k1_polynom4(A, B)), k1_polynom4(A, B))) ) ) ) ) ).
fof(t21_hurwitz2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  ~ (k2_hurwitz(A, k1_hurwitz2(A, B))=k2_hurwitz(A, k2_hurwitz2(A, B))) ) ) ) ) ).
fof(t22_hurwitz2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (r1_xxreal_0(k2_hurwitz(A, k1_hurwitz2(A, B)), k2_hurwitz(A, B)) & r1_xxreal_0(k2_hurwitz(A, k2_hurwitz2(A, B)), k2_hurwitz(A, B))) ) ) ) ) ).
fof(t23_hurwitz2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => k2_hurwitz(A, B)=k4_xxreal_0(k2_hurwitz(A, k1_hurwitz2(A, B)), k2_hurwitz(A, k2_hurwitz2(A, B)))) ) ) ) ).
fof(d3_hurwitz2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (v1_hurwitz2(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, k4_algstr_0(A, C))=k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, C)) ) ) ) ) ) ) ).
fof(d4_hurwitz2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (v2_hurwitz2(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, k4_algstr_0(A, C))=k4_algstr_0(A, k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, C))) ) ) ) ) ) ) ).
fof(d5_hurwitz2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (v3_hurwitz2(B, A) <=> v1_hurwitz2(k10_polynom5(A, B), A)) ) ) ) ) ).
fof(d6_hurwitz2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (v4_hurwitz2(B, A) <=> v2_hurwitz2(k10_polynom5(A, B), A)) ) ) ) ) ).
fof(d7_hurwitz2, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v4_vectsp_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  (m1_ratfunc1(B, A) =>  (v5_hurwitz2(B, A) <=>  ( (v3_hurwitz2(k4_ratfunc1(A, B), A) & v4_hurwitz2(k5_ratfunc1(A, B), A))  |  (v4_hurwitz2(k4_ratfunc1(A, B), A) & v3_hurwitz2(k5_ratfunc1(A, B), A)) ) ) ) ) ) ) ).
fof(t24_hurwitz2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v3_hurwitz2(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_polynom4(A, B, k4_algstr_0(A, C))=k2_polynom4(A, B, C)) ) ) ) ) ) ).
fof(t25_hurwitz2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v4_hurwitz2(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_polynom4(A, B, k4_algstr_0(A, C))=k4_algstr_0(A, k2_polynom4(A, B, C))) ) ) ) ) ) ).
fof(t26_hurwitz2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v3_hurwitz2(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) &  (v4_hurwitz2(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_ratfunc1(A, B, C, D) => r1_polynom5(A, k8_polynom3(A, B, C), k4_algstr_0(A, D))) ) ) ) ) ) ) ) ) ).
fof(t27_hurwitz2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) &  (v1_hurwitz(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) ) )  =>  ~ (r2_ratfunc1(k1_complfld, k1_hurwitz2(k1_complfld, A), k2_hurwitz2(k1_complfld, A))) ) ) ).
fof(d8_hurwitz2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) )  =>  (v6_hurwitz2(A) <=>  (! [B] :  (v7_ordinal1(B) => v1_xreal_0(k8_nat_1(u1_struct_0(k1_complfld), A, B))) ) ) ) ) ).
fof(d9_hurwitz2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) )  =>  (v7_hurwitz2(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  ~ ( ( ~ (r1_xxreal_0(k3_complex1(B), k5_ordinal1))  & r1_xxreal_0(k3_complex1(k2_polynom4(k1_complfld, A, B)), k5_ordinal1)) ) ) ) ) ) ) ).
fof(d10_hurwitz2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (v8_hurwitz2(B, A) <=>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(C, k2_hurwitz(A, B)) & k8_nat_1(u1_struct_0(A), B, C)=k5_ordinal1) ) ) ) ) ) ) ) ) ).
fof(d11_hurwitz2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) &  (v6_hurwitz2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) ) )  =>  (v9_hurwitz2(A) <=>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(B, k2_hurwitz(k1_complfld, A)) & r1_xxreal_0(k8_nat_1(u1_struct_0(k1_complfld), A, B), k5_ordinal1)) ) ) ) ) ) ) ).
fof(d12_hurwitz2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) &  (v6_hurwitz2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) ) )  =>  (v10_hurwitz2(A) <=>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(B, k2_hurwitz(k1_complfld, A)) & r1_xxreal_0(k5_ordinal1, k8_nat_1(u1_struct_0(k1_complfld), A, B))) ) ) ) ) ) ) ).
fof(d13_hurwitz2, axiom,  (! [A] :  (m1_ratfunc1(A, k1_complfld) =>  (v11_hurwitz2(A) <=>  (! [B] :  (v7_ordinal1(B) =>  (v1_xreal_0(k8_nat_1(u1_struct_0(k1_complfld), k4_ratfunc1(k1_complfld, A), B)) & v1_xreal_0(k8_nat_1(u1_struct_0(k1_complfld), k5_ratfunc1(k1_complfld, A), B))) ) ) ) ) ) ).
fof(d14_hurwitz2, axiom,  (! [A] :  (m1_ratfunc1(A, k1_complfld) =>  (v12_hurwitz2(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  ~ ( ( ~ (r1_xxreal_0(k3_complex1(B), k5_ordinal1))  &  ( ~ (k2_polynom4(k1_complfld, k5_ratfunc1(k1_complfld, A), B)=k5_ordinal1)  & r1_xxreal_0(k3_complex1(k13_ratfunc1(k1_complfld, A, B)), k5_ordinal1)) ) ) ) ) ) ) ) ).
fof(t28_hurwitz2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) &  (v6_hurwitz2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  (k3_complex1(B)=k5_ordinal1 => k4_complex1(k2_polynom4(k1_complfld, k1_hurwitz2(k1_complfld, A), B))=k5_ordinal1) ) ) ) ) ).
fof(t29_hurwitz2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) &  (v6_hurwitz2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  (k3_complex1(B)=k5_ordinal1 => k3_complex1(k2_polynom4(k1_complfld, k2_hurwitz2(k1_complfld, A), B))=k5_ordinal1) ) ) ) ) ).
fof(t30_hurwitz2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) &  ( ~ (v1_ratfunc1(A, k1_complfld))  &  (v6_hurwitz2(A) &  (v9_hurwitz2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) ) ) ) )  =>  (v12_hurwitz2(k3_ratfunc1(k1_complfld, k1_hurwitz2(k1_complfld, A), k2_hurwitz2(k1_complfld, A))) =>  (r2_ratfunc1(k1_complfld, k1_hurwitz2(k1_complfld, A), k2_hurwitz2(k1_complfld, A)) |  ( (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  (k3_complex1(B)=k5_ordinal1 =>  (k2_polynom4(k1_complfld, k2_hurwitz2(k1_complfld, A), B)=k5_ordinal1 | r1_xxreal_0(k5_ordinal1, k3_complex1(k13_ratfunc1(k1_complfld, k3_ratfunc1(k1_complfld, k1_hurwitz2(k1_complfld, A), k2_hurwitz2(k1_complfld, A)), B)))) ) ) )  & v1_hurwitz(k8_polynom3(k1_complfld, k1_hurwitz2(k1_complfld, A), k2_hurwitz2(k1_complfld, A)))) ) ) ) ) ).
fof(t31_hurwitz2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) &  ( ~ (v1_ratfunc1(A, k1_complfld))  &  (v6_hurwitz2(A) &  (v9_hurwitz2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) ) ) ) )  =>  ( ( (v11_hurwitz2(k3_ratfunc1(k1_complfld, k1_hurwitz2(k1_complfld, A), k2_hurwitz2(k1_complfld, A))) &  (v12_hurwitz2(k3_ratfunc1(k1_complfld, k1_hurwitz2(k1_complfld, A), k2_hurwitz2(k1_complfld, A))) & m1_ratfunc1(k3_ratfunc1(k1_complfld, k1_hurwitz2(k1_complfld, A), k2_hurwitz2(k1_complfld, A)), k1_complfld)) )  & k12_ratfunc1(k1_complfld, k3_ratfunc1(k1_complfld, k1_hurwitz2(k1_complfld, A), k2_hurwitz2(k1_complfld, A)))=k2_hurwitz(k1_complfld, A))  => v1_hurwitz(A)) ) ) ).
fof(dt_k1_hurwitz2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (v1_funct_1(k1_hurwitz2(A, B)) &  (v1_funct_2(k1_hurwitz2(A, B), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k1_hurwitz2(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(dt_k2_hurwitz2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (v1_funct_1(k2_hurwitz2(A, B)) &  (v1_funct_2(k2_hurwitz2(A, B), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k2_hurwitz2(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(fc1_idea_1, axiom,  ~ (v1_xboole_0(k14_idea_1)) ).
fof(fc2_idea_1, axiom, v4_funct_1(k14_idea_1)).
fof(cc1_idea_1, axiom,  (! [A] :  (m1_subset_1(A, k14_idea_1) => v1_finseq_1(A)) ) ).
fof(fc3_idea_1, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  &  (v1_matrix_0(D) &  (v2_matrix_0(D, k4_ordinal1, B, 6) & m1_finseq_1(D, k3_finseq_2(k4_ordinal1))) ) ) ) )  =>  (v1_relat_1(k17_idea_1(A, B, C, D)) &  (v1_funct_1(k17_idea_1(A, B, C, D)) &  (v1_finseq_1(k17_idea_1(A, B, C, D)) & v1_funcop_1(k17_idea_1(A, B, C, D))) ) ) ) ) ).
fof(fc4_idea_1, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  &  (v1_matrix_0(D) &  (v2_matrix_0(D, k4_ordinal1, B, 6) & m1_finseq_1(D, k3_finseq_2(k4_ordinal1))) ) ) ) )  =>  (v1_relat_1(k18_idea_1(A, B, C, D)) &  (v1_funct_1(k18_idea_1(A, B, C, D)) &  (v1_finseq_1(k18_idea_1(A, B, C, D)) & v1_funcop_1(k18_idea_1(A, B, C, D))) ) ) ) ) ).
fof(t1_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (v1_int_2(B) &  ( ~ (r1_xxreal_0(B, A))  &  ( ~ (r1_xxreal_0(B, C))  &  ( ~ (A=k5_numbers)  &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (k4_nat_d(k3_xcmplx_0(D, A), B)=C &  ~ (r1_xxreal_0(B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (A=k5_numbers)  &  (k4_nat_d(B, A)=k4_nat_d(C, A) &  (r1_xxreal_0(B, C) &  (! [D] :  (v7_ordinal1(D) =>  ~ (k6_xcmplx_0(C, B)=k3_xcmplx_0(A, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => r1_xxreal_0(k6_xcmplx_0(A, B), A)) ) ) ) ).
fof(t4_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, C) => r1_xxreal_0(k6_xcmplx_0(B, A), C)) ) ) ) ) ) ) ).
fof(t5_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  ( ~ (r1_xxreal_0(C, A))  &  ( ~ (r1_xxreal_0(C, B))  &  (v1_int_2(C) & k4_nat_d(k3_xcmplx_0(A, B), C)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) => k1_idea_1(A)=k5_finseq_2(k5_margrel1, A, k6_margrel1)) ) ).
fof(d2_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k5_margrel1))  =>  (! [D] :  ( (v3_card_1(D, A) & m2_finseq_1(D, k5_margrel1))  =>  (D=k2_idea_1(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k2_finseq_1(A)) => k7_partfun1(k5_margrel1, D, E)=k2_binarith(k7_partfun1(k5_margrel1, B, E), k7_partfun1(k5_margrel1, C, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  => k2_idea_1(A, B, B)=k1_idea_1(A)) ) ) ) ).
fof(t7_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k5_margrel1))  => k2_idea_1(A, B, C)=k2_idea_1(A, C, B)) ) ) ) ) ) ).
fof(t8_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  => k3_idea_1(A, k1_idea_1(A), B)=B) ) ) ) ).
fof(t9_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v3_card_1(B, A) & m2_finseq_1(B, k5_margrel1))  =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k5_margrel1))  =>  (! [D] :  ( (v3_card_1(D, A) & m2_finseq_1(D, k5_margrel1))  => k3_idea_1(A, k3_idea_1(A, B, C), D)=k3_idea_1(A, B, k3_idea_1(A, C, D))) ) ) ) ) ) ) ) ).
fof(d3_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_idea_1(A, B) <=>  ~ (r1_xxreal_0(k5_series_1(2, A), B)) ) ) ) ) ) ).
fof(t10_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) => k1_binari_3(A, k5_numbers)=k1_idea_1(A)) ) ).
fof(d4_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k4_idea_1(A, B, C)=k4_nat_d(k2_xcmplx_0(B, C), k5_series_1(2, A))) ) ) ) ) ) ).
fof(d5_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_idea_1(A, B) => k5_idea_1(A, B)=k6_xcmplx_0(k5_series_1(2, A), B)) ) ) ) ) ).
fof(d6_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k6_idea_1(A, B)=k4_nat_d(k5_idea_1(A, B), k5_series_1(2, A))) ) ) ) ).
fof(t11_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_idea_1(B, A) => k4_idea_1(B, A, k6_idea_1(B, A))=k5_numbers) ) ) ) ) ).
fof(t12_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k4_idea_1(C, A, B)=k4_idea_1(C, B, A)) ) ) ) ) ) ).
fof(t13_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_idea_1(B, A) => k4_idea_1(B, k5_numbers, A)=A) ) ) ) ) ).
fof(t14_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k4_idea_1(D, k4_idea_1(D, A, B), C)=k4_idea_1(D, A, k4_idea_1(D, B, C))) ) ) ) ) ) ) ) ).
fof(t15_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => r1_idea_1(C, k4_idea_1(C, A, B))) ) ) ) ) ) ).
fof(t16_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => r1_idea_1(B, k6_idea_1(B, A))) ) ) ) ).
fof(d7_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (B=k5_numbers => k7_idea_1(A, B)=k5_series_1(2, A))  &  ( ~ (B=k5_numbers)  => k7_idea_1(A, B)=B) ) ) ) ) ) ).
fof(t17_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_idea_1(B, A) =>  (r1_xxreal_0(k7_idea_1(B, A), k5_series_1(2, B)) &  ~ (r1_xxreal_0(k7_idea_1(B, A), k5_numbers)) ) ) ) ) ) ) ).
fof(t18_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_idea_1(A, B) &  (r1_idea_1(A, C) & k7_idea_1(A, B)=k7_idea_1(A, C)) )  => B=C) ) ) ) ) ) ) ).
fof(d8_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (B=k5_series_1(2, A) => k8_idea_1(A, B)=k5_numbers)  &  ( ~ (B=k5_series_1(2, A))  => k8_idea_1(A, B)=B) ) ) ) ) ) ).
fof(t19_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_idea_1(B, A) => r1_idea_1(B, k8_idea_1(B, A))) ) ) ) ) ).
fof(t20_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (k8_idea_1(A, B)=k8_idea_1(A, C) =>  (B=k5_numbers |  (C=k5_numbers | B=C) ) ) ) ) ) ) ) ) ).
fof(d9_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k9_idea_1(A, B, C)=k8_idea_1(A, k4_nat_d(k3_xcmplx_0(k7_idea_1(A, B), k7_idea_1(A, C)), k1_nat_1(k5_series_1(2, A), 1)))) ) ) ) ) ) ).
fof(d10_idea_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_idea_1(A, B) & v1_int_2(k1_nat_1(k5_series_1(2, A), 1)))  =>  (! [C] :  (v7_ordinal1(C) =>  (C=k10_idea_1(A, B) <=>  (k9_idea_1(A, B, C)=1 & r1_idea_1(A, C)) ) ) ) ) ) ) ) ) ).
fof(t21_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k9_idea_1(C, A, B)=k9_idea_1(C, B, A)) ) ) ) ) ) ).
fof(t22_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_idea_1(B, A) => k9_idea_1(B, 1, A)=A) ) ) ) ) ).
fof(t23_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (v1_int_2(k1_nat_1(k5_series_1(2, D), 1)) &  (r1_idea_1(D, A) &  (r1_idea_1(D, B) & r1_idea_1(D, C)) ) )  => k9_idea_1(D, k9_idea_1(D, A, B), C)=k9_idea_1(D, A, k9_idea_1(D, B, C))) ) ) ) ) ) ) ) ) ).
fof(t24_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => r1_idea_1(C, k9_idea_1(C, A, B))) ) ) ) ) ) ).
fof(t25_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (k8_idea_1(B, A)=1 => A=1) ) ) ) ) ).
fof(d11_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  (D=k11_idea_1(A, B, C) <=>  (k3_finseq_1(D)=k3_finseq_1(B) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(B)) =>  ( (E=1 => k1_recdef_1(D, E)=k9_idea_1(A, k1_recdef_1(B, 1), k1_recdef_1(C, 1)))  &  ( (E=2 => k1_recdef_1(D, E)=k4_idea_1(A, k1_recdef_1(B, 2), k1_recdef_1(C, 2)))  &  ( (E=3 => k1_recdef_1(D, E)=k4_idea_1(A, k1_recdef_1(B, 3), k1_recdef_1(C, 3)))  &  ( (E=4 => k1_recdef_1(D, E)=k9_idea_1(A, k1_recdef_1(B, 4), k1_recdef_1(C, 4)))  &  ~ ( ( ~ (E=1)  &  ( ~ (E=2)  &  ( ~ (E=3)  &  ( ~ (E=4)  &  ~ (k1_recdef_1(D, E)=k1_recdef_1(B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_idea_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  (D=k12_idea_1(A, B, C) <=>  (k3_finseq_1(D)=k3_finseq_1(B) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(B)) =>  ( (E=1 => k1_recdef_1(D, E)=k6_binarith(A, k3_idea_1(A, k1_binari_3(A, k1_recdef_1(B, 1)), k1_binari_3(A, k9_idea_1(A, k4_idea_1(A, k9_idea_1(A, k6_binarith(A, k3_idea_1(A, k1_binari_3(A, k1_recdef_1(B, 1)), k1_binari_3(A, k1_recdef_1(B, 3)))), k1_recdef_1(C, 5)), k6_binarith(A, k3_idea_1(A, k1_binari_3(A, k1_recdef_1(B, 2)), k1_binari_3(A, k1_recdef_1(B, 4))))), k1_recdef_1(C, 6))))))  &  ( (E=2 => k1_recdef_1(D, E)=k6_binarith(A, k3_idea_1(A, k1_binari_3(A, k1_recdef_1(B, 2)), k1_binari_3(A, k4_idea_1(A, k9_idea_1(A, k6_binarith(A, k3_idea_1(A, k1_binari_3(A, k1_recdef_1(B, 1)), k1_binari_3(A, k1_recdef_1(B, 3)))), k1_recdef_1(C, 5)), k9_idea_1(A, k4_idea_1(A, k9_idea_1(A, k6_binarith(A, k3_idea_1(A, k1_binari_3(A, k1_recdef_1(B, 1)), k1_binari_3(A, k1_recdef_1(B, 3)))), k1_recdef_1(C, 5)), k6_binarith(A, k3_idea_1(A, k1_binari_3(A, k1_recdef_1(B, 2)), k1_binari_3(A, k1_recdef_1(B, 4))))), k1_recdef_1(C, 6)))))))  &  ( (E=3 => k1_recdef_1(D, E)=k6_binarith(A, k3_idea_1(A, k1_binari_3(A, k1_recdef_1(B, 3)), k1_binari_3(A, k9_idea_1(A, k4_idea_1(A, k9_idea_1(A, k6_binarith(A, k3_idea_1(A, k1_binari_3(A, k1_recdef_1(B, 1)), k1_binari_3(A, k1_recdef_1(B, 3)))), k1_recdef_1(C, 5)), k6_binarith(A, k3_idea_1(A, k1_binari_3(A, k1_recdef_1(B, 2)), k1_binari_3(A, k1_recdef_1(B, 4))))), k1_recdef_1(C, 6))))))  &  ( (E=4 => k1_recdef_1(D, E)=k6_binarith(A, k3_idea_1(A, k1_binari_3(A, k1_recdef_1(B, 4)), k1_binari_3(A, k4_idea_1(A, k9_idea_1(A, k6_binarith(A, k3_idea_1(A, k1_binari_3(A, k1_recdef_1(B, 1)), k1_binari_3(A, k1_recdef_1(B, 3)))), k1_recdef_1(C, 5)), k9_idea_1(A, k4_idea_1(A, k9_idea_1(A, k6_binarith(A, k3_idea_1(A, k1_binari_3(A, k1_recdef_1(B, 1)), k1_binari_3(A, k1_recdef_1(B, 3)))), k1_recdef_1(C, 5)), k6_binarith(A, k3_idea_1(A, k1_binari_3(A, k1_recdef_1(B, 2)), k1_binari_3(A, k1_recdef_1(B, 4))))), k1_recdef_1(C, 6)))))))  &  ~ ( ( ~ (E=1)  &  ( ~ (E=2)  &  ( ~ (E=3)  &  ( ~ (E=4)  &  ~ (k1_recdef_1(D, E)=k1_recdef_1(B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_idea_1, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (B=k13_idea_1(A) <=>  (k3_finseq_1(B)=k3_finseq_1(A) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(A)) => k1_recdef_1(B, C)=k16_funcop_1(k4_ordinal1, C, 2, k1_recdef_1(A, 3), k16_funcop_1(k4_ordinal1, C, 3, k1_recdef_1(A, 2), k1_recdef_1(A, C)))) ) ) ) ) ) ) ) ) ).
fof(t26_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (r1_xxreal_0(4, k3_finseq_1(B)) =>  (r1_idea_1(A, k1_recdef_1(k11_idea_1(A, B, C), 1)) &  (r1_idea_1(A, k1_recdef_1(k11_idea_1(A, B, C), 2)) &  (r1_idea_1(A, k1_recdef_1(k11_idea_1(A, B, C), 3)) & r1_idea_1(A, k1_recdef_1(k11_idea_1(A, B, C), 4))) ) ) ) ) ) ) ) ) ) ).
fof(t27_idea_1, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (r1_xxreal_0(4, k3_finseq_1(A)) =>  (r1_idea_1(C, k1_recdef_1(k12_idea_1(C, A, B), 1)) &  (r1_idea_1(C, k1_recdef_1(k12_idea_1(C, A, B), 2)) &  (r1_idea_1(C, k1_recdef_1(k12_idea_1(C, A, B), 3)) & r1_idea_1(C, k1_recdef_1(k12_idea_1(C, A, B), 4))) ) ) ) ) ) ) ) ) ) ).
fof(t28_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  ( (r1_xxreal_0(4, k3_finseq_1(B)) &  (r1_idea_1(A, k1_recdef_1(B, 1)) &  (r1_idea_1(A, k1_recdef_1(B, 2)) &  (r1_idea_1(A, k1_recdef_1(B, 3)) & r1_idea_1(A, k1_recdef_1(B, 4))) ) ) )  =>  (r1_idea_1(A, k1_recdef_1(k13_idea_1(B), 1)) &  (r1_idea_1(A, k1_recdef_1(k13_idea_1(B), 2)) &  (r1_idea_1(A, k1_recdef_1(k13_idea_1(B), 3)) & r1_idea_1(A, k1_recdef_1(k13_idea_1(B), 4))) ) ) ) ) ) ) ) ).
fof(t29_idea_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  ( (v1_int_2(k1_nat_1(k5_series_1(2, A), 1)) &  (r1_xxreal_0(4, k3_finseq_1(B)) &  (r1_idea_1(A, k1_recdef_1(B, 1)) &  (r1_idea_1(A, k1_recdef_1(B, 2)) &  (r1_idea_1(A, k1_recdef_1(B, 3)) &  (r1_idea_1(A, k1_recdef_1(B, 4)) &  (r1_idea_1(A, k1_recdef_1(C, 1)) &  (r1_idea_1(A, k1_recdef_1(C, 2)) &  (r1_idea_1(A, k1_recdef_1(C, 3)) &  (r1_idea_1(A, k1_recdef_1(C, 4)) &  (k1_recdef_1(D, 1)=k10_idea_1(A, k1_recdef_1(C, 1)) &  (k1_recdef_1(D, 2)=k6_idea_1(A, k1_recdef_1(C, 2)) &  (k1_recdef_1(D, 3)=k6_idea_1(A, k1_recdef_1(C, 3)) & k1_recdef_1(D, 4)=k10_idea_1(A, k1_recdef_1(C, 4))) ) ) ) ) ) ) ) ) ) ) ) )  => k11_idea_1(A, k11_idea_1(A, B, C), D)=B) ) ) ) ) ) ) ) ) ).
fof(t30_idea_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  ( (v1_int_2(k1_nat_1(k5_series_1(2, A), 1)) &  (r1_xxreal_0(4, k3_finseq_1(B)) &  (r1_idea_1(A, k1_recdef_1(B, 1)) &  (r1_idea_1(A, k1_recdef_1(B, 2)) &  (r1_idea_1(A, k1_recdef_1(B, 3)) &  (r1_idea_1(A, k1_recdef_1(B, 4)) &  (r1_idea_1(A, k1_recdef_1(C, 1)) &  (r1_idea_1(A, k1_recdef_1(C, 2)) &  (r1_idea_1(A, k1_recdef_1(C, 3)) &  (r1_idea_1(A, k1_recdef_1(C, 4)) &  (k1_recdef_1(D, 1)=k10_idea_1(A, k1_recdef_1(C, 1)) &  (k1_recdef_1(D, 2)=k6_idea_1(A, k1_recdef_1(C, 3)) &  (k1_recdef_1(D, 3)=k6_idea_1(A, k1_recdef_1(C, 2)) & k1_recdef_1(D, 4)=k10_idea_1(A, k1_recdef_1(C, 4))) ) ) ) ) ) ) ) ) ) ) ) )  => k11_idea_1(A, k13_idea_1(k11_idea_1(A, k13_idea_1(B), C)), D)=B) ) ) ) ) ) ) ) ) ).
fof(t31_idea_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  ( (r1_xxreal_0(4, k3_finseq_1(B)) &  (r1_idea_1(A, k1_recdef_1(B, 1)) &  (r1_idea_1(A, k1_recdef_1(B, 2)) &  (r1_idea_1(A, k1_recdef_1(B, 3)) &  (r1_idea_1(A, k1_recdef_1(B, 4)) &  (k1_recdef_1(D, 5)=k1_recdef_1(C, 5) & k1_recdef_1(D, 6)=k1_recdef_1(C, 6)) ) ) ) ) )  => k12_idea_1(A, k12_idea_1(A, B, C), D)=B) ) ) ) ) ) ) ) ) ).
fof(t32_idea_1, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  (r1_xxreal_0(4, k3_finseq_1(A)) => k13_idea_1(k13_idea_1(A))=A) ) ) ).
fof(d14_idea_1, axiom, k14_idea_1=k3_finseq_2(k4_ordinal1)).
fof(d15_idea_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k14_idea_1, k14_idea_1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k14_idea_1, k14_idea_1)))) )  =>  (C=k15_idea_1(A, B) <=>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) => k1_funct_1(C, D)=k11_idea_1(A, k13_idea_1(k12_idea_1(A, D, B)), B)) ) ) ) ) ) ) ) ) ).
fof(d16_idea_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k14_idea_1, k14_idea_1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k14_idea_1, k14_idea_1)))) )  =>  (C=k16_idea_1(A, B) <=>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) => k1_funct_1(C, D)=k12_idea_1(A, k11_idea_1(A, k13_idea_1(D), B), B)) ) ) ) ) ) ) ) ) ).
fof(d17_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k4_ordinal1, B, 6) & m2_finseq_1(D, k3_finseq_2(k4_ordinal1))) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  (E=k17_idea_1(A, B, C, D) <=>  (k3_finseq_1(E)=A &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k4_finseq_1(E)) => k1_funct_1(E, F)=k15_idea_1(C, k7_matrix_0(k4_ordinal1, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k4_ordinal1, B, 6) & m2_finseq_1(D, k3_finseq_2(k4_ordinal1))) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  (E=k18_idea_1(A, B, C, D) <=>  (k3_finseq_1(E)=A &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k4_finseq_1(E)) => k1_funct_1(E, F)=k16_idea_1(C, k7_matrix_0(k4_ordinal1, D, k1_nat_1(k7_nat_d(A, F), 1)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_idea_1, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k14_idea_1, k14_idea_1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k14_idea_1, k14_idea_1)))) )  =>  (C=k19_idea_1(A, B) <=>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) => k1_funct_1(C, D)=k11_idea_1(B, D, A)) ) ) ) ) ) ) ) ) ).
fof(d20_idea_1, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k14_idea_1, k14_idea_1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k14_idea_1, k14_idea_1)))) )  =>  (C=k20_idea_1(A, B) <=>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) => k1_funct_1(C, D)=k11_idea_1(B, D, A)) ) ) ) ) ) ) ) ) ).
fof(d21_idea_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k14_idea_1, k14_idea_1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k14_idea_1, k14_idea_1)))) )  =>  (C=k21_idea_1(A, B) <=>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) => k1_funct_1(C, D)=k11_idea_1(A, k12_idea_1(A, D, B), B)) ) ) ) ) ) ) ) ) ).
fof(d22_idea_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k14_idea_1, k14_idea_1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k14_idea_1, k14_idea_1)))) )  =>  (C=k22_idea_1(A, B) <=>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) => k1_funct_1(C, D)=k12_idea_1(A, k11_idea_1(A, D, B), B)) ) ) ) ) ) ) ) ) ).
fof(t33_idea_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  ( (v1_int_2(k1_nat_1(k5_series_1(2, A), 1)) &  (r1_xxreal_0(4, k3_finseq_1(B)) &  (r1_idea_1(A, k1_recdef_1(B, 1)) &  (r1_idea_1(A, k1_recdef_1(B, 2)) &  (r1_idea_1(A, k1_recdef_1(B, 3)) &  (r1_idea_1(A, k1_recdef_1(B, 4)) &  (r1_idea_1(A, k1_recdef_1(C, 1)) &  (r1_idea_1(A, k1_recdef_1(C, 2)) &  (r1_idea_1(A, k1_recdef_1(C, 3)) &  (r1_idea_1(A, k1_recdef_1(C, 4)) &  (k1_recdef_1(D, 1)=k10_idea_1(A, k1_recdef_1(C, 1)) &  (k1_recdef_1(D, 2)=k6_idea_1(A, k1_recdef_1(C, 3)) &  (k1_recdef_1(D, 3)=k6_idea_1(A, k1_recdef_1(C, 2)) &  (k1_recdef_1(D, 4)=k10_idea_1(A, k1_recdef_1(C, 4)) &  (k1_recdef_1(D, 5)=k1_recdef_1(C, 5) & k1_recdef_1(D, 6)=k1_recdef_1(C, 6)) ) ) ) ) ) ) ) ) ) ) ) ) ) )  => k1_funct_1(k1_partfun1(k14_idea_1, k14_idea_1, k14_idea_1, k14_idea_1, k15_idea_1(A, C), k16_idea_1(A, D)), B)=B) ) ) ) ) ) ) ) ) ).
fof(t34_idea_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  ( (v1_int_2(k1_nat_1(k5_series_1(2, A), 1)) &  (r1_xxreal_0(4, k3_finseq_1(B)) &  (r1_idea_1(A, k1_recdef_1(B, 1)) &  (r1_idea_1(A, k1_recdef_1(B, 2)) &  (r1_idea_1(A, k1_recdef_1(B, 3)) &  (r1_idea_1(A, k1_recdef_1(B, 4)) &  (r1_idea_1(A, k1_recdef_1(C, 1)) &  (r1_idea_1(A, k1_recdef_1(C, 2)) &  (r1_idea_1(A, k1_recdef_1(C, 3)) &  (r1_idea_1(A, k1_recdef_1(C, 4)) &  (k1_recdef_1(D, 1)=k10_idea_1(A, k1_recdef_1(C, 1)) &  (k1_recdef_1(D, 2)=k6_idea_1(A, k1_recdef_1(C, 2)) &  (k1_recdef_1(D, 3)=k6_idea_1(A, k1_recdef_1(C, 3)) & k1_recdef_1(D, 4)=k10_idea_1(A, k1_recdef_1(C, 4))) ) ) ) ) ) ) ) ) ) ) ) )  => k1_funct_1(k1_partfun1(k14_idea_1, k14_idea_1, k14_idea_1, k14_idea_1, k19_idea_1(C, A), k20_idea_1(D, A)), B)=B) ) ) ) ) ) ) ) ) ).
fof(t35_idea_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  ( (v1_int_2(k1_nat_1(k5_series_1(2, A), 1)) &  (r1_xxreal_0(4, k3_finseq_1(B)) &  (r1_idea_1(A, k1_recdef_1(B, 1)) &  (r1_idea_1(A, k1_recdef_1(B, 2)) &  (r1_idea_1(A, k1_recdef_1(B, 3)) &  (r1_idea_1(A, k1_recdef_1(B, 4)) &  (r1_idea_1(A, k1_recdef_1(C, 1)) &  (r1_idea_1(A, k1_recdef_1(C, 2)) &  (r1_idea_1(A, k1_recdef_1(C, 3)) &  (r1_idea_1(A, k1_recdef_1(C, 4)) &  (k1_recdef_1(D, 1)=k10_idea_1(A, k1_recdef_1(C, 1)) &  (k1_recdef_1(D, 2)=k6_idea_1(A, k1_recdef_1(C, 2)) &  (k1_recdef_1(D, 3)=k6_idea_1(A, k1_recdef_1(C, 3)) &  (k1_recdef_1(D, 4)=k10_idea_1(A, k1_recdef_1(C, 4)) &  (k1_recdef_1(D, 5)=k1_recdef_1(C, 5) & k1_recdef_1(D, 6)=k1_recdef_1(C, 6)) ) ) ) ) ) ) ) ) ) ) ) ) ) )  => k1_funct_1(k1_partfun1(k14_idea_1, k14_idea_1, k14_idea_1, k14_idea_1, k21_idea_1(A, C), k22_idea_1(A, D)), B)=B) ) ) ) ) ) ) ) ) ).
fof(t36_idea_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k4_ordinal1, B, 6) & m2_finseq_1(C, k3_finseq_2(k4_ordinal1))) )  =>  (! [D] :  (v7_ordinal1(D) => k17_idea_1(k1_nat_1(D, 1), B, A, C)=k7_finseq_1(k17_idea_1(D, B, A, C), k9_finseq_1(k15_idea_1(A, k7_matrix_0(k4_ordinal1, C, k1_nat_1(D, 1)))))) ) ) ) ) ) ) ) ).
fof(t37_idea_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k4_ordinal1, B, 6) & m2_finseq_1(C, k3_finseq_2(k4_ordinal1))) )  =>  (! [D] :  (v7_ordinal1(D) => k18_idea_1(k1_nat_1(D, 1), B, A, C)=k7_finseq_1(k9_finseq_1(k16_idea_1(A, k7_matrix_0(k4_ordinal1, C, k1_nat_1(D, 1)))), k18_idea_1(D, B, A, C))) ) ) ) ) ) ) ) ).
fof(t38_idea_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k4_ordinal1, B, 6) & m2_finseq_1(C, k3_finseq_2(k4_ordinal1))) )  =>  (! [D] :  (v7_ordinal1(D) =>  (v1_relat_1(k17_idea_1(D, B, A, C)) &  (v1_funct_1(k17_idea_1(D, B, A, C)) &  (v1_finseq_1(k17_idea_1(D, B, A, C)) & v1_funct_7(k17_idea_1(D, B, A, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_idea_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k4_ordinal1, B, 6) & m2_finseq_1(C, k3_finseq_2(k4_ordinal1))) )  =>  (! [D] :  (v7_ordinal1(D) =>  (v1_relat_1(k18_idea_1(D, B, A, C)) &  (v1_funct_1(k18_idea_1(D, B, A, C)) &  (v1_finseq_1(k18_idea_1(D, B, A, C)) & v1_funct_7(k18_idea_1(D, B, A, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_idea_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k4_ordinal1, B, 6) & m2_finseq_1(C, k3_finseq_2(k4_ordinal1))) )  =>  (! [D] :  (v7_ordinal1(D) =>  ( ~ (D=k5_numbers)  => m1_funct_7(k17_idea_1(D, B, A, C), k14_idea_1, k14_idea_1)) ) ) ) ) ) ) ) ) ).
fof(t41_idea_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k4_ordinal1, B, 6) & m2_finseq_1(C, k3_finseq_2(k4_ordinal1))) )  =>  (! [D] :  (v7_ordinal1(D) =>  ( ~ (D=k5_numbers)  => m1_funct_7(k18_idea_1(D, B, A, C), k14_idea_1, k14_idea_1)) ) ) ) ) ) ) ) ) ).
fof(t42_idea_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  ( (B=k1_funct_1(k15_idea_1(A, D), C) & r1_xxreal_0(4, k3_finseq_1(C)))  =>  (r1_xxreal_0(4, k3_finseq_1(B)) &  (r1_idea_1(A, k1_recdef_1(B, 1)) &  (r1_idea_1(A, k1_recdef_1(B, 2)) &  (r1_idea_1(A, k1_recdef_1(B, 3)) & r1_idea_1(A, k1_recdef_1(B, 4))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_idea_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k4_ordinal1, B, 6) & m2_finseq_1(C, k3_finseq_2(k4_ordinal1))) )  =>  (! [D] :  (v7_ordinal1(D) =>  (r1_tarski(k10_xtuple_0(k3_funct_7(k14_idea_1, k17_idea_1(D, B, A, C))), k14_idea_1) & k9_xtuple_0(k3_funct_7(k14_idea_1, k17_idea_1(D, B, A, C)))=k14_idea_1) ) ) ) ) ) ) ) ) ).
fof(t44_idea_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k4_ordinal1, B, 6) & m2_finseq_1(C, k3_finseq_2(k4_ordinal1))) )  =>  (! [D] :  (v7_ordinal1(D) =>  (r1_tarski(k10_xtuple_0(k3_funct_7(k14_idea_1, k18_idea_1(D, B, A, C))), k14_idea_1) & k9_xtuple_0(k3_funct_7(k14_idea_1, k18_idea_1(D, B, A, C)))=k14_idea_1) ) ) ) ) ) ) ) ) ).
fof(t45_idea_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k4_ordinal1, B, 6) & m2_finseq_1(C, k3_finseq_2(k4_ordinal1))) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m2_finseq_1(E, k4_ordinal1) =>  (! [F] :  (m2_finseq_1(F, k4_ordinal1) =>  ( (E=k1_funct_1(k3_funct_7(k14_idea_1, k17_idea_1(D, B, A, C)), F) &  (r1_xxreal_0(4, k3_finseq_1(F)) &  (r1_idea_1(A, k1_recdef_1(F, 1)) &  (r1_idea_1(A, k1_recdef_1(F, 2)) &  (r1_idea_1(A, k1_recdef_1(F, 3)) & r1_idea_1(A, k1_recdef_1(F, 4))) ) ) ) )  =>  (r1_xxreal_0(4, k3_finseq_1(E)) &  (r1_idea_1(A, k1_recdef_1(E, 1)) &  (r1_idea_1(A, k1_recdef_1(E, 2)) &  (r1_idea_1(A, k1_recdef_1(E, 3)) & r1_idea_1(A, k1_recdef_1(E, 4))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_idea_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k4_ordinal1, B, 6) & m2_finseq_1(C, k3_finseq_2(k4_ordinal1))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k4_ordinal1, B, 6) & m2_finseq_1(D, k3_finseq_2(k4_ordinal1))) )  =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (m2_finseq_1(F, k4_ordinal1) =>  ( (r1_xxreal_0(E, B) &  (v1_int_2(k1_nat_1(k5_series_1(2, A), 1)) &  (r1_xxreal_0(4, k3_finseq_1(F)) &  (r1_idea_1(A, k1_recdef_1(F, 1)) &  (r1_idea_1(A, k1_recdef_1(F, 2)) &  (r1_idea_1(A, k1_recdef_1(F, 3)) &  (r1_idea_1(A, k1_recdef_1(F, 4)) &  (! [G] :  (v7_ordinal1(G) =>  (r1_xxreal_0(G, E) =>  (r1_idea_1(A, k3_matrix_0(k4_ordinal1, C, G, 1)) &  (r1_idea_1(A, k3_matrix_0(k4_ordinal1, C, G, 2)) &  (r1_idea_1(A, k3_matrix_0(k4_ordinal1, C, G, 3)) &  (r1_idea_1(A, k3_matrix_0(k4_ordinal1, C, G, 4)) &  (r1_idea_1(A, k3_matrix_0(k4_ordinal1, C, G, 5)) &  (r1_idea_1(A, k3_matrix_0(k4_ordinal1, C, G, 6)) &  (r1_idea_1(A, k3_matrix_0(k4_ordinal1, D, G, 1)) &  (r1_idea_1(A, k3_matrix_0(k4_ordinal1, D, G, 2)) &  (r1_idea_1(A, k3_matrix_0(k4_ordinal1, D, G, 3)) &  (r1_idea_1(A, k3_matrix_0(k4_ordinal1, D, G, 4)) &  (r1_idea_1(A, k3_matrix_0(k4_ordinal1, D, G, 5)) &  (r1_idea_1(A, k3_matrix_0(k4_ordinal1, D, G, 6)) &  (k3_matrix_0(k4_ordinal1, D, G, 1)=k10_idea_1(A, k3_matrix_0(k4_ordinal1, C, G, 1)) &  (k3_matrix_0(k4_ordinal1, D, G, 2)=k6_idea_1(A, k3_matrix_0(k4_ordinal1, C, G, 3)) &  (k3_matrix_0(k4_ordinal1, D, G, 3)=k6_idea_1(A, k3_matrix_0(k4_ordinal1, C, G, 2)) &  (k3_matrix_0(k4_ordinal1, D, G, 4)=k10_idea_1(A, k3_matrix_0(k4_ordinal1, C, G, 4)) &  (k3_matrix_0(k4_ordinal1, C, G, 5)=k3_matrix_0(k4_ordinal1, D, G, 5) & k3_matrix_0(k4_ordinal1, C, G, 6)=k3_matrix_0(k4_ordinal1, D, G, 6)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  => k1_funct_1(k3_funct_7(k14_idea_1, k7_finseq_1(k17_idea_1(E, B, A, C), k18_idea_1(E, B, A, D))), F)=F) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_idea_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k4_ordinal1, B, 6) & m2_finseq_1(C, k3_finseq_2(k4_ordinal1))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k4_ordinal1, B, 6) & m2_finseq_1(D, k3_finseq_2(k4_ordinal1))) )  =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (m2_finseq_1(F, k4_ordinal1) =>  (! [G] :  (m2_finseq_1(G, k4_ordinal1) =>  (! [H] :  (m2_finseq_1(H, k4_ordinal1) =>  (! [I] :  (m2_finseq_1(I, k4_ordinal1) =>  (! [J] :  (m2_finseq_1(J, k4_ordinal1) =>  ( (r1_xxreal_0(E, B) &  (v1_int_2(k1_nat_1(k5_series_1(2, A), 1)) &  (r1_xxreal_0(4, k3_finseq_1(J)) &  (r1_idea_1(A, k1_recdef_1(J, 1)) &  (r1_idea_1(A, k1_recdef_1(J, 2)) &  (r1_idea_1(A, k1_recdef_1(J, 3)) &  (r1_idea_1(A, k1_recdef_1(J, 4)) &  ( (! [K] :  (v7_ordinal1(K) =>  (r1_xxreal_0(K, E) =>  (r1_idea_1(A, k3_matrix_0(k4_ordinal1, C, K, 1)) &  (r1_idea_1(A, k3_matrix_0(k4_ordinal1, C, K, 2)) &  (r1_idea_1(A, k3_matrix_0(k4_ordinal1, C, K, 3)) &  (r1_idea_1(A, k3_matrix_0(k4_ordinal1, C, K, 4)) &  (r1_idea_1(A, k3_matrix_0(k4_ordinal1, C, K, 5)) &  (r1_idea_1(A, k3_matrix_0(k4_ordinal1, C, K, 6)) &  (r1_idea_1(A, k3_matrix_0(k4_ordinal1, D, K, 1)) &  (r1_idea_1(A, k3_matrix_0(k4_ordinal1, D, K, 2)) &  (r1_idea_1(A, k3_matrix_0(k4_ordinal1, D, K, 3)) &  (r1_idea_1(A, k3_matrix_0(k4_ordinal1, D, K, 4)) &  (r1_idea_1(A, k3_matrix_0(k4_ordinal1, D, K, 5)) &  (r1_idea_1(A, k3_matrix_0(k4_ordinal1, D, K, 6)) &  (k3_matrix_0(k4_ordinal1, D, K, 1)=k10_idea_1(A, k3_matrix_0(k4_ordinal1, C, K, 1)) &  (k3_matrix_0(k4_ordinal1, D, K, 2)=k6_idea_1(A, k3_matrix_0(k4_ordinal1, C, K, 3)) &  (k3_matrix_0(k4_ordinal1, D, K, 3)=k6_idea_1(A, k3_matrix_0(k4_ordinal1, C, K, 2)) &  (k3_matrix_0(k4_ordinal1, D, K, 4)=k10_idea_1(A, k3_matrix_0(k4_ordinal1, C, K, 4)) &  (k3_matrix_0(k4_ordinal1, C, K, 5)=k3_matrix_0(k4_ordinal1, D, K, 5) & k3_matrix_0(k4_ordinal1, C, K, 6)=k3_matrix_0(k4_ordinal1, D, K, 6)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (r1_idea_1(A, k1_recdef_1(F, 1)) &  (r1_idea_1(A, k1_recdef_1(F, 2)) &  (r1_idea_1(A, k1_recdef_1(F, 3)) &  (r1_idea_1(A, k1_recdef_1(F, 4)) &  (k1_recdef_1(G, 1)=k10_idea_1(A, k1_recdef_1(F, 1)) &  (k1_recdef_1(G, 2)=k6_idea_1(A, k1_recdef_1(F, 2)) &  (k1_recdef_1(G, 3)=k6_idea_1(A, k1_recdef_1(F, 3)) &  (k1_recdef_1(G, 4)=k10_idea_1(A, k1_recdef_1(F, 4)) &  (r1_idea_1(A, k1_recdef_1(H, 1)) &  (r1_idea_1(A, k1_recdef_1(H, 2)) &  (r1_idea_1(A, k1_recdef_1(H, 3)) &  (r1_idea_1(A, k1_recdef_1(H, 4)) &  (k1_recdef_1(I, 1)=k10_idea_1(A, k1_recdef_1(H, 1)) &  (k1_recdef_1(I, 2)=k6_idea_1(A, k1_recdef_1(H, 2)) &  (k1_recdef_1(I, 3)=k6_idea_1(A, k1_recdef_1(H, 3)) &  (k1_recdef_1(I, 4)=k10_idea_1(A, k1_recdef_1(H, 4)) &  (k1_recdef_1(I, 5)=k1_recdef_1(H, 5) & k1_recdef_1(I, 6)=k1_recdef_1(H, 6)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  => k1_funct_1(k3_relat_1(k3_relat_1(k3_relat_1(k3_relat_1(k3_relat_1(k19_idea_1(F, A), k3_funct_7(k14_idea_1, k17_idea_1(E, B, A, C))), k21_idea_1(A, H)), k22_idea_1(A, I)), k3_funct_7(k14_idea_1, k18_idea_1(E, B, A, D))), k20_idea_1(G, A)), J)=J) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_idea_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v3_card_1(k1_idea_1(A), A) & m2_finseq_1(k1_idea_1(A), k5_margrel1)) ) ) ).
fof(dt_k2_idea_1, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v3_card_1(B, A) & m1_finseq_1(B, k5_margrel1))  &  (v3_card_1(C, A) & m1_finseq_1(C, k5_margrel1)) ) )  =>  (v3_card_1(k2_idea_1(A, B, C), A) & m2_finseq_1(k2_idea_1(A, B, C), k5_margrel1)) ) ) ).
fof(dt_k3_idea_1, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v3_card_1(B, A) & m1_finseq_1(B, k5_margrel1))  &  (v3_card_1(C, A) & m1_finseq_1(C, k5_margrel1)) ) )  =>  (v3_card_1(k3_idea_1(A, B, C), A) & m2_finseq_1(k3_idea_1(A, B, C), k5_margrel1)) ) ) ).
fof(commutativity_k3_idea_1, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v3_card_1(B, A) & m1_finseq_1(B, k5_margrel1))  &  (v3_card_1(C, A) & m1_finseq_1(C, k5_margrel1)) ) )  => k3_idea_1(A, B, C)=k3_idea_1(A, C, B)) ) ).
fof(redefinition_k3_idea_1, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v3_card_1(B, A) & m1_finseq_1(B, k5_margrel1))  &  (v3_card_1(C, A) & m1_finseq_1(C, k5_margrel1)) ) )  => k3_idea_1(A, B, C)=k2_idea_1(A, B, C)) ) ).
fof(dt_k4_idea_1, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) & v7_ordinal1(C)) )  => v7_ordinal1(k4_idea_1(A, B, C))) ) ).
fof(dt_k5_idea_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k5_idea_1(A, B))) ) ).
fof(dt_k6_idea_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k6_idea_1(A, B))) ) ).
fof(dt_k7_idea_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k7_idea_1(A, B))) ) ).
fof(dt_k8_idea_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k8_idea_1(A, B))) ) ).
fof(dt_k9_idea_1, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) & v7_ordinal1(C)) )  => v7_ordinal1(k9_idea_1(A, B, C))) ) ).
fof(dt_k10_idea_1, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  & v7_ordinal1(B))  => v7_ordinal1(k10_idea_1(A, B))) ) ).
fof(dt_k11_idea_1, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_finseq_1(B, k4_ordinal1) & m1_finseq_1(C, k4_ordinal1)) )  => m2_finseq_1(k11_idea_1(A, B, C), k4_ordinal1)) ) ).
fof(dt_k12_idea_1, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (m1_finseq_1(B, k4_ordinal1) & m1_finseq_1(C, k4_ordinal1)) )  => m2_finseq_1(k12_idea_1(A, B, C), k4_ordinal1)) ) ).
fof(dt_k13_idea_1, axiom,  (! [A] :  (m1_finseq_1(A, k4_ordinal1) => m2_finseq_1(k13_idea_1(A), k4_ordinal1)) ) ).
fof(dt_k15_idea_1, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  & m1_finseq_1(B, k4_ordinal1))  =>  (v1_funct_1(k15_idea_1(A, B)) &  (v1_funct_2(k15_idea_1(A, B), k14_idea_1, k14_idea_1) & m1_subset_1(k15_idea_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k14_idea_1, k14_idea_1)))) ) ) ) ).
fof(dt_k16_idea_1, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  & m1_finseq_1(B, k4_ordinal1))  =>  (v1_funct_1(k16_idea_1(A, B)) &  (v1_funct_2(k16_idea_1(A, B), k14_idea_1, k14_idea_1) & m1_subset_1(k16_idea_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k14_idea_1, k14_idea_1)))) ) ) ) ).
fof(dt_k17_idea_1, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  &  (v1_matrix_0(D) &  (v2_matrix_0(D, k4_ordinal1, B, 6) & m1_finseq_1(D, k3_finseq_2(k4_ordinal1))) ) ) ) )  =>  (v1_relat_1(k17_idea_1(A, B, C, D)) &  (v1_funct_1(k17_idea_1(A, B, C, D)) & v1_finseq_1(k17_idea_1(A, B, C, D))) ) ) ) ).
fof(dt_k18_idea_1, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  &  (v1_matrix_0(D) &  (v2_matrix_0(D, k4_ordinal1, B, 6) & m1_finseq_1(D, k3_finseq_2(k4_ordinal1))) ) ) ) )  =>  (v1_relat_1(k18_idea_1(A, B, C, D)) &  (v1_funct_1(k18_idea_1(A, B, C, D)) & v1_finseq_1(k18_idea_1(A, B, C, D))) ) ) ) ).
fof(dt_k19_idea_1, axiom,  (! [A, B] :  ( (m1_finseq_1(A, k4_ordinal1) & v7_ordinal1(B))  =>  (v1_funct_1(k19_idea_1(A, B)) &  (v1_funct_2(k19_idea_1(A, B), k14_idea_1, k14_idea_1) & m1_subset_1(k19_idea_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k14_idea_1, k14_idea_1)))) ) ) ) ).
fof(dt_k20_idea_1, axiom,  (! [A, B] :  ( (m1_finseq_1(A, k4_ordinal1) & v7_ordinal1(B))  =>  (v1_funct_1(k20_idea_1(A, B)) &  (v1_funct_2(k20_idea_1(A, B), k14_idea_1, k14_idea_1) & m1_subset_1(k20_idea_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k14_idea_1, k14_idea_1)))) ) ) ) ).
fof(dt_k21_idea_1, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  & m1_finseq_1(B, k4_ordinal1))  =>  (v1_funct_1(k21_idea_1(A, B)) &  (v1_funct_2(k21_idea_1(A, B), k14_idea_1, k14_idea_1) & m1_subset_1(k21_idea_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k14_idea_1, k14_idea_1)))) ) ) ) ).
fof(dt_k22_idea_1, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  & m1_finseq_1(B, k4_ordinal1))  =>  (v1_funct_1(k22_idea_1(A, B)) &  (v1_funct_2(k22_idea_1(A, B), k14_idea_1, k14_idea_1) & m1_subset_1(k22_idea_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k14_idea_1, k14_idea_1)))) ) ) ) ).
fof(rc1_ideal_1, axiom,  (? [A] :  (l2_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & v1_algstr_1(A)) ) ) ) ) ).
fof(rc2_ideal_1, axiom,  (? [A] :  (l6_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v7_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & v1_algstr_1(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  & v1_ideal_1(B, A)) ) ) ) ) ).
fof(rc4_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  & v2_ideal_1(B, A)) ) ) ) ) ).
fof(rc5_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  & v3_ideal_1(B, A)) ) ) ) ) ).
fof(rc6_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) & v3_ideal_1(B, A)) ) ) ) ) ) ) ).
fof(rc7_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) & v3_ideal_1(B, A)) ) ) ) ) ) ).
fof(rc8_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) & v2_ideal_1(B, A)) ) ) ) ) ) ).
fof(cc1_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ( ~ (v1_xboole_0(B))  & v2_ideal_1(B, A))  =>  ( ~ (v1_xboole_0(B))  & v3_ideal_1(B, A)) ) ) ) ) ) ).
fof(cc2_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ( ~ (v1_xboole_0(B))  & v3_ideal_1(B, A))  =>  ( ~ (v1_xboole_0(B))  & v2_ideal_1(B, A)) ) ) ) ) ) ).
fof(fc1_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_rlvect_1(A) & l2_algstr_0(A)) )  => v1_ideal_1(k1_tarski(k4_struct_0(A)), A)) ) ).
fof(fc2_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_algstr_0(A) &  (v1_vectsp_1(A) &  (v1_algstr_1(A) & l6_algstr_0(A)) ) ) )  => v2_ideal_1(k1_tarski(k4_struct_0(A)), A)) ) ).
fof(fc3_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_algstr_0(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) & l6_algstr_0(A)) ) ) )  => v3_ideal_1(k1_tarski(k4_struct_0(A)), A)) ) ).
fof(rc9_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v7_algstr_0(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v1_algstr_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  (v1_subset_1(B, u1_struct_0(A)) &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) & v3_ideal_1(B, A)) ) ) ) ) ) ) ) ).
fof(fc4_ideal_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v7_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v1_algstr_1(A) & l6_algstr_0(A)) ) ) ) ) )  &  ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ( ~ (v2_struct_0(k3_ideal_1(A, B)))  & v3_rlvect_1(k3_ideal_1(A, B))) ) ) ).
fof(fc5_ideal_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v7_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v1_algstr_1(A) & l6_algstr_0(A)) ) ) ) ) )  &  ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  ( ~ (v2_struct_0(k3_ideal_1(A, B)))  & v4_rlvect_1(k3_ideal_1(A, B))) ) ) ).
fof(fc6_ideal_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) & l6_algstr_0(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ( ~ (v2_struct_0(k3_ideal_1(A, B)))  & v2_rlvect_1(k3_ideal_1(A, B))) ) ) ).
fof(fc7_ideal_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_algstr_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  ( ~ (v2_struct_0(k3_ideal_1(A, B)))  & v13_algstr_0(k3_ideal_1(A, B))) ) ) ).
fof(rc10_ideal_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (? [C] :  (m1_ideal_1(C, A, B) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_finseq_1(C) & v2_finseq_1(C)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc11_ideal_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (? [C] :  (m2_ideal_1(C, A, B) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_finseq_1(C) & v2_finseq_1(C)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc12_ideal_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (? [C] :  (m3_ideal_1(C, A, B) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_finseq_1(C) & v2_finseq_1(C)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc8_ideal_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  &  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  & m1_subset_1(C, u1_struct_0(A))) )  =>  ~ (v1_xboole_0(k10_ideal_1(A, B, C))) ) ) ).
fof(fc9_ideal_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v5_vectsp_1(A) & l6_algstr_0(A)) )  &  ( (v1_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  & m1_subset_1(C, u1_struct_0(A))) )  => v1_ideal_1(k10_ideal_1(A, B, C), A)) ) ).
fof(fc10_ideal_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_group_1(A) & l6_algstr_0(A)) )  &  ( (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  & m1_subset_1(C, u1_struct_0(A))) )  => v3_ideal_1(k10_ideal_1(A, B, C), A)) ) ).
fof(fc11_ideal_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ~ (v1_xboole_0(k11_ideal_1(A, B, C))) ) ) ).
fof(fc12_ideal_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) & l2_algstr_0(A)) ) )  &  ( (v1_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  (v1_ideal_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  => v1_ideal_1(k11_ideal_1(A, B, C), A)) ) ).
fof(fc13_ideal_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_vectsp_1(A) & l6_algstr_0(A)) )  &  ( (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  (v3_ideal_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  => v3_ideal_1(k11_ideal_1(A, B, C), A)) ) ).
fof(fc14_ideal_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_vectsp_1(A) & l6_algstr_0(A)) )  &  ( (v2_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  (v2_ideal_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  => v2_ideal_1(k11_ideal_1(A, B, C), A)) ) ).
fof(fc15_ideal_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v5_algstr_0(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) & l6_algstr_0(A)) ) ) )  &  ( ( ~ (v1_xboole_0(B))  &  (v2_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  &  ( ~ (v1_xboole_0(C))  &  (v2_ideal_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  ~ (v1_xboole_0(k3_xboole_0(B, C))) ) ) ).
fof(fc16_ideal_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  ( (v1_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  (v1_ideal_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  => v1_ideal_1(k3_xboole_0(B, C), A)) ) ).
fof(fc17_ideal_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  &  ( (v2_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  (v2_ideal_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  => v2_ideal_1(k3_xboole_0(B, C), A)) ) ).
fof(fc18_ideal_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  &  ( (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  (v3_ideal_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  => v3_ideal_1(k3_xboole_0(B, C), A)) ) ).
fof(fc19_ideal_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  ~ (v1_xboole_0(k14_ideal_1(A, B, C))) ) ) ).
fof(fc20_ideal_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => v1_ideal_1(k14_ideal_1(A, B, C), A)) ) ).
fof(fc21_ideal_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v5_algstr_0(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) )  &  ( (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  (v3_ideal_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  => v3_ideal_1(k14_ideal_1(A, B, C), A)) ) ).
fof(fc22_ideal_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_algstr_0(A) &  (v1_vectsp_1(A) &  (v3_group_1(A) &  (v1_algstr_1(A) & l6_algstr_0(A)) ) ) ) )  &  ( (v2_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  (v2_ideal_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  => v2_ideal_1(k14_ideal_1(A, B, C), A)) ) ).
fof(fc23_ideal_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v5_algstr_0(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) & l6_algstr_0(A)) ) ) )  &  ( ( ~ (v1_xboole_0(B))  &  (v2_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  &  ( ~ (v1_xboole_0(C))  &  (v2_ideal_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  ~ (v1_xboole_0(k16_ideal_1(A, B, C))) ) ) ).
fof(fc24_ideal_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v5_algstr_0(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) & l6_algstr_0(A)) ) ) )  &  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  &  ( ~ (v1_xboole_0(C))  &  (v1_ideal_1(C, A) &  (v2_ideal_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) )  => v1_ideal_1(k16_ideal_1(A, B, C), A)) ) ).
fof(fc25_ideal_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v5_algstr_0(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  &  (v2_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  &  ( ~ (v1_xboole_0(C))  &  (v2_ideal_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  => v2_ideal_1(k16_ideal_1(A, B, C), A)) ) ).
fof(fc26_ideal_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v5_algstr_0(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  &  (v2_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  &  ( ~ (v1_xboole_0(C))  &  (v2_ideal_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  => v3_ideal_1(k16_ideal_1(A, B, C), A)) ) ).
fof(fc27_ideal_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) & l6_algstr_0(A)) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  ~ (v1_xboole_0(k17_ideal_1(A, B))) ) ) ).
fof(fc28_ideal_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v7_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_algstr_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  => v1_ideal_1(k17_ideal_1(A, B), A)) ) ).
fof(fc29_ideal_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) )  &  ( ~ (v1_xboole_0(B))  &  (v2_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  => v2_ideal_1(k17_ideal_1(A, B), A)) ) ).
fof(fc30_ideal_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) )  &  ( ~ (v1_xboole_0(B))  &  (v2_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  => v3_ideal_1(k17_ideal_1(A, B), A)) ) ).
fof(rc13_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & v5_ideal_1(B, A)) ) ) ) ) ) ) ) ).
fof(fc31_ideal_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ( ~ (v1_xboole_0(k7_ideal_1(A, B)))  &  (v1_ideal_1(k7_ideal_1(A, B), A) &  (v2_ideal_1(k7_ideal_1(A, B), A) &  (v3_ideal_1(k7_ideal_1(A, B), A) & v5_ideal_1(k7_ideal_1(A, B), A)) ) ) ) ) ) ).
fof(rc14_ideal_1, axiom,  (? [A] :  (l6_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & v1_int_3(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc32_ideal_1, axiom, v6_ideal_1(k1_int_3)).
fof(rc15_ideal_1, axiom,  (? [A] :  (l6_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & v6_ideal_1(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc33_ideal_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(A))) ) ) )  =>  ( ~ (v1_xboole_0(k5_relat_1(C, D)))  & v1_relat_1(k5_relat_1(C, D))) ) ) ).
fof(t1_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_algstr_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_rlvect_1(A, k2_finseq_4(u1_struct_0(A), B, C))=k1_algstr_0(A, B, C)) ) ) ) ) ) ).
fof(d1_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_ideal_1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k1_algstr_0(A, C, D), B)) ) ) ) ) ) ) ) ) ) ).
fof(d2_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_ideal_1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, B) => r2_tarski(k6_algstr_0(A, C, D), B)) ) ) ) ) ) ) ) ) ) ).
fof(d3_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_ideal_1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, B) => r2_tarski(k6_algstr_0(A, D, C), B)) ) ) ) ) ) ) ) ) ) ).
fof(t2_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_algstr_0(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) & l6_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => r2_tarski(k4_struct_0(A), B)) ) ) ) ).
fof(t3_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_algstr_0(A) &  (v1_vectsp_1(A) &  (v1_algstr_1(A) & l6_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => r2_tarski(k4_struct_0(A), B)) ) ) ) ).
fof(t4_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_rlvect_1(A) & l2_algstr_0(A)) )  => v1_ideal_1(k6_domain_1(u1_struct_0(A), k4_struct_0(A)), A)) ) ).
fof(t5_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_algstr_0(A) &  (v1_vectsp_1(A) &  (v1_algstr_1(A) & l6_algstr_0(A)) ) ) )  => v2_ideal_1(k6_domain_1(u1_struct_0(A), k4_struct_0(A)), A)) ) ).
fof(t6_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_algstr_0(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) & l6_algstr_0(A)) ) ) )  => v3_ideal_1(k6_domain_1(u1_struct_0(A), k4_struct_0(A)), A)) ) ).
fof(t7_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  ( ~ (v1_xboole_0(k6_domain_1(u1_struct_0(A), k4_struct_0(A))))  &  (v1_ideal_1(k6_domain_1(u1_struct_0(A), k4_struct_0(A)), A) &  (v2_ideal_1(k6_domain_1(u1_struct_0(A), k4_struct_0(A)), A) &  (v3_ideal_1(k6_domain_1(u1_struct_0(A), k4_struct_0(A)), A) & m1_subset_1(k6_domain_1(u1_struct_0(A), k4_struct_0(A)), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ).
fof(t8_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  ( ~ (v1_xboole_0(k6_domain_1(u1_struct_0(A), k4_struct_0(A))))  &  (v1_ideal_1(k6_domain_1(u1_struct_0(A), k4_struct_0(A)), A) &  (v2_ideal_1(k6_domain_1(u1_struct_0(A), k4_struct_0(A)), A) & m1_subset_1(k6_domain_1(u1_struct_0(A), k4_struct_0(A)), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ).
fof(t9_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  ( ~ (v1_xboole_0(k6_domain_1(u1_struct_0(A), k4_struct_0(A))))  &  (v1_ideal_1(k6_domain_1(u1_struct_0(A), k4_struct_0(A)), A) &  (v3_ideal_1(k6_domain_1(u1_struct_0(A), k4_struct_0(A)), A) & m1_subset_1(k6_domain_1(u1_struct_0(A), k4_struct_0(A)), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ).
fof(t10_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  ( ~ (v1_xboole_0(u1_struct_0(A)))  &  (v1_ideal_1(u1_struct_0(A), A) &  (v2_ideal_1(u1_struct_0(A), A) &  (v3_ideal_1(u1_struct_0(A), A) & m1_subset_1(u1_struct_0(A), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ).
fof(t11_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  ( ~ (v1_xboole_0(u1_struct_0(A)))  &  (v1_ideal_1(u1_struct_0(A), A) &  (v2_ideal_1(u1_struct_0(A), A) & m1_subset_1(u1_struct_0(A), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ).
fof(t12_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  ( ~ (v1_xboole_0(u1_struct_0(A)))  &  (v1_ideal_1(u1_struct_0(A), A) &  (v3_ideal_1(u1_struct_0(A), A) & m1_subset_1(u1_struct_0(A), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ).
fof(d4_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_algstr_0(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v1_algstr_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  (v1_zfmisc_1(B) <=> B=k6_domain_1(u1_struct_0(A), k4_struct_0(A))) ) ) ) ) ).
fof(t13_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) &  (v6_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) => r2_tarski(k4_algstr_0(A, C), B)) ) ) ) ) ) ) ).
fof(t14_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) => r2_tarski(k4_algstr_0(A, C), B)) ) ) ) ) ) ) ).
fof(t15_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) &  (v6_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k5_algstr_0(A, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t16_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k5_algstr_0(A, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t17_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v1_algstr_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), B) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => r2_tarski(k5_binom(A, C, D), B)) ) ) ) ) ) ) ) ).
fof(t18_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_algstr_0(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v1_algstr_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), B) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( ~ (D=k5_numbers)  => r2_tarski(k2_binom(A, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(d5_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => k1_ideal_1(A, B)=k1_realset1(u1_algstr_0(A), B)) ) ) ) ).
fof(d6_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => k2_ideal_1(A, B)=k1_realset1(u2_algstr_0(A), B)) ) ) ) ).
fof(d7_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => k3_ideal_1(A, B)=g2_algstr_0(B, k1_ideal_1(A, B), k10_subset_1(k4_struct_0(A), B))) ) ) ) ).
fof(t19_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_vectsp_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (v1_subset_1(B, u1_struct_0(A)) <=>  ~ (r2_tarski(k5_struct_0(A), B)) ) ) ) ) ) ).
fof(t20_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_vectsp_1(A) &  (v6_vectsp_1(A) & l6_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (v1_subset_1(B, u1_struct_0(A)) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (v1_gcd_1(C, A) & r2_tarski(C, B)) ) ) ) ) ) ) ) ) ).
fof(t21_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_vectsp_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v1_subset_1(B, u1_struct_0(A)) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (v1_gcd_1(C, A) & r2_tarski(C, B)) ) ) ) ) ) ) ) ) ).
fof(t22_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  <=>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  (B=k6_domain_1(u1_struct_0(A), k4_struct_0(A)) | B=u1_struct_0(A)) ) ) ) ) ) ).
fof(d8_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (m1_ideal_1(C, A, B) <=>  (! [D] :  ~ ( (r2_tarski(D, k1_relset_1(k4_ordinal1, C)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m2_subset_1(G, u1_struct_0(A), B) =>  ~ (k7_partfun1(u1_struct_0(A), C, D)=k6_algstr_0(A, k6_algstr_0(A, E, G), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (m2_ideal_1(C, A, B) <=>  (! [D] :  ~ ( (r2_tarski(D, k1_relset_1(k4_ordinal1, C)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m2_subset_1(F, u1_struct_0(A), B) =>  ~ (k7_partfun1(u1_struct_0(A), C, D)=k6_algstr_0(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (m3_ideal_1(C, A, B) <=>  (! [D] :  ~ ( (r2_tarski(D, k1_relset_1(k4_ordinal1, C)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m2_subset_1(F, u1_struct_0(A), B) =>  ~ (k7_partfun1(u1_struct_0(A), C, D)=k6_algstr_0(A, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_group_1(A) & l4_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_ideal_1(D, A, B) => m1_ideal_1(k9_fvsum_1(A, D, C), A, B)) ) ) ) ) ) ) ) ).
fof(t24_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_group_1(A) & l4_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_ideal_1(D, A, B) => m1_ideal_1(k1_polynom1(A, D, C), A, B)) ) ) ) ) ) ) ) ).
fof(t25_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_vectsp_1(A) & l4_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m2_ideal_1(C, A, B) => m1_ideal_1(C, A, B)) ) ) ) ) ) ).
fof(t26_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_group_1(A) & l4_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_ideal_1(D, A, B) => m2_ideal_1(k9_fvsum_1(A, D, C), A, B)) ) ) ) ) ) ) ) ).
fof(t27_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_ideal_1(D, A, B) => m1_ideal_1(k1_polynom1(A, D, C), A, B)) ) ) ) ) ) ) ) ).
fof(t28_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_vectsp_1(A) & l4_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m3_ideal_1(C, A, B) => m1_ideal_1(C, A, B)) ) ) ) ) ) ).
fof(t29_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_group_1(A) & l4_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m3_ideal_1(D, A, B) => m3_ideal_1(k1_polynom1(A, D, C), A, B)) ) ) ) ) ) ) ) ).
fof(t30_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_group_1(A) & l4_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m3_ideal_1(D, A, B) => m1_ideal_1(k9_fvsum_1(A, D, C), A, B)) ) ) ) ) ) ) ) ).
fof(t31_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_group_1(A) &  (v5_group_1(A) & l4_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_ideal_1(C, A, B) =>  (m2_ideal_1(C, A, B) & m3_ideal_1(C, A, B)) ) ) ) ) ) ) ).
fof(t32_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_ideal_1(C, A, B))  =>  (? [D] :  (m1_ideal_1(D, A, B) &  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (r2_relset_1(k4_ordinal1, u1_struct_0(A), C, k8_finseq_1(u1_struct_0(A), D, k12_finseq_1(u1_struct_0(A), E))) & m1_ideal_1(k12_finseq_1(u1_struct_0(A), E), A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m2_ideal_1(C, A, B))  =>  (? [D] :  (m2_ideal_1(D, A, B) &  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (r2_relset_1(k4_ordinal1, u1_struct_0(A), C, k8_finseq_1(u1_struct_0(A), D, k12_finseq_1(u1_struct_0(A), E))) & m2_ideal_1(k12_finseq_1(u1_struct_0(A), E), A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m3_ideal_1(C, A, B))  =>  (? [D] :  (m3_ideal_1(D, A, B) &  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (r2_relset_1(k4_ordinal1, u1_struct_0(A), C, k8_finseq_1(u1_struct_0(A), D, k12_finseq_1(u1_struct_0(A), E))) & m3_ideal_1(k12_finseq_1(u1_struct_0(A), E), A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_ideal_1(C, A, B) =>  (! [D] :  (m2_finseq_1(D, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) =>  (r1_ideal_1(A, B, C, D) <=>  (k3_finseq_1(D)=k3_finseq_1(C) &  (! [E] :  (r2_tarski(E, k1_relset_1(k4_ordinal1, C)) =>  (k1_funct_1(C, E)=k6_algstr_0(A, k6_algstr_0(A, k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), k7_partfun1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), D, E)), k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), k7_partfun1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), D, E))), k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), k7_partfun1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), D, E))) & r2_tarski(k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), k7_partfun1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), D, E)), B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_ideal_1(C, A, B) =>  (? [D] :  (m2_finseq_1(D, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) & r1_ideal_1(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t36_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l4_algstr_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  (m1_ideal_1(D, A, C) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [G] :  (m2_finseq_1(G, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) =>  ~ ( (r1_tarski(k7_relset_1(u1_struct_0(A), u1_struct_0(B), F, C), E) &  (r1_ideal_1(A, C, D, G) &  (! [H] :  (m1_ideal_1(H, B, E) =>  ~ ( (k3_finseq_1(D)=k3_finseq_1(H) &  (! [I] :  (r2_tarski(I, k1_relset_1(k4_ordinal1, H)) => k1_funct_1(H, I)=k6_algstr_0(B, k6_algstr_0(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), F, k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), k7_partfun1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), G, I))), k3_funct_2(u1_struct_0(A), u1_struct_0(B), F, k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), k7_partfun1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), G, I)))), k3_funct_2(u1_struct_0(A), u1_struct_0(B), F, k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), k7_partfun1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), G, I))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m2_ideal_1(C, A, B) =>  (! [D] :  (m2_finseq_1(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) =>  (r2_ideal_1(A, B, C, D) <=>  (k3_finseq_1(D)=k3_finseq_1(C) &  (! [E] :  (r2_tarski(E, k1_relset_1(k4_ordinal1, C)) =>  (k1_funct_1(C, E)=k6_algstr_0(A, k2_domain_1(u1_struct_0(A), u1_struct_0(A), k7_partfun1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), D, E)), k3_domain_1(u1_struct_0(A), u1_struct_0(A), k7_partfun1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), D, E))) & r2_tarski(k3_domain_1(u1_struct_0(A), u1_struct_0(A), k7_partfun1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), D, E)), B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m2_ideal_1(C, A, B) =>  (? [D] :  (m2_finseq_1(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) & r2_ideal_1(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t38_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l4_algstr_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  (m2_ideal_1(D, A, C) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [G] :  (m2_finseq_1(G, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) =>  ~ ( (r1_tarski(k7_relset_1(u1_struct_0(A), u1_struct_0(B), F, C), E) &  (r2_ideal_1(A, C, D, G) &  (! [H] :  (m2_ideal_1(H, B, E) =>  ~ ( (k3_finseq_1(D)=k3_finseq_1(H) &  (! [I] :  (r2_tarski(I, k1_relset_1(k4_ordinal1, H)) => k1_funct_1(H, I)=k6_algstr_0(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), F, k2_domain_1(u1_struct_0(A), u1_struct_0(A), k7_partfun1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), G, I))), k3_funct_2(u1_struct_0(A), u1_struct_0(B), F, k3_domain_1(u1_struct_0(A), u1_struct_0(A), k7_partfun1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), G, I))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m3_ideal_1(C, A, B) =>  (! [D] :  (m2_finseq_1(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) =>  (r3_ideal_1(A, B, C, D) <=>  (k3_finseq_1(D)=k3_finseq_1(C) &  (! [E] :  (r2_tarski(E, k1_relset_1(k4_ordinal1, C)) =>  (k1_funct_1(C, E)=k6_algstr_0(A, k2_domain_1(u1_struct_0(A), u1_struct_0(A), k7_partfun1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), D, E)), k3_domain_1(u1_struct_0(A), u1_struct_0(A), k7_partfun1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), D, E))) & r2_tarski(k2_domain_1(u1_struct_0(A), u1_struct_0(A), k7_partfun1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), D, E)), B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m3_ideal_1(C, A, B) =>  (? [D] :  (m2_finseq_1(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) & r3_ideal_1(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t40_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l4_algstr_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  (m3_ideal_1(D, A, C) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [G] :  (m2_finseq_1(G, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) =>  ~ ( (r1_tarski(k7_relset_1(u1_struct_0(A), u1_struct_0(B), F, C), E) &  (r3_ideal_1(A, C, D, G) &  (! [H] :  (m3_ideal_1(H, B, E) =>  ~ ( (k3_finseq_1(D)=k3_finseq_1(H) &  (! [I] :  (r2_tarski(I, k1_relset_1(k4_ordinal1, H)) => k1_funct_1(H, I)=k6_algstr_0(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), F, k2_domain_1(u1_struct_0(A), u1_struct_0(A), k7_partfun1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), G, I))), k3_funct_2(u1_struct_0(A), u1_struct_0(B), F, k3_domain_1(u1_struct_0(A), u1_struct_0(A), k7_partfun1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), G, I))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_ideal_1(C, A, B) =>  (! [D] :  (v7_ordinal1(D) => m1_ideal_1(k2_partfun1(k4_ordinal1, u1_struct_0(A), C, k2_finseq_1(D)), A, B)) ) ) ) ) ) ) ) ).
fof(t42_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m2_ideal_1(C, A, B) =>  (! [D] :  (v7_ordinal1(D) => m2_ideal_1(k2_partfun1(k4_ordinal1, u1_struct_0(A), C, k2_finseq_1(D)), A, B)) ) ) ) ) ) ) ) ).
fof(t43_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m3_ideal_1(C, A, B) =>  (! [D] :  (v7_ordinal1(D) => m3_ideal_1(k2_partfun1(k4_ordinal1, u1_struct_0(A), C, k2_finseq_1(D)), A, B)) ) ) ) ) ) ) ) ).
fof(d14_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_ideal_1(C, A) &  (v2_ideal_1(C, A) &  (v3_ideal_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  (C=k7_ideal_1(A, B) <=>  (r1_tarski(B, C) &  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_ideal_1(D, A) &  (v2_ideal_1(D, A) &  (v3_ideal_1(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  (r1_tarski(B, D) => r1_tarski(C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_ideal_1(C, A) &  (v2_ideal_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (C=k8_ideal_1(A, B) <=>  (r1_tarski(B, C) &  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_ideal_1(D, A) &  (v2_ideal_1(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (r1_tarski(B, D) => r1_tarski(C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_ideal_1(C, A) &  (v3_ideal_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (C=k9_ideal_1(A, B) <=>  (r1_tarski(B, C) &  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_ideal_1(D, A) &  (v3_ideal_1(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (r1_tarski(B, D) => r1_tarski(C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  => k7_ideal_1(A, B)=B) ) ) ) ).
fof(t45_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  => k8_ideal_1(A, B)=B) ) ) ) ).
fof(t46_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  => k9_ideal_1(A, B)=B) ) ) ) ).
fof(d17_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (m4_ideal_1(C, A, B) <=> k7_ideal_1(A, C)=B) ) ) ) ) ) ) ).
fof(t47_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  => k7_ideal_1(A, k6_domain_1(u1_struct_0(A), k4_struct_0(A)))=k6_domain_1(u1_struct_0(A), k4_struct_0(A))) ) ).
fof(t48_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_algstr_0(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v1_algstr_1(A) & l6_algstr_0(A)) ) ) ) )  => k7_ideal_1(A, k6_domain_1(u1_struct_0(A), k4_struct_0(A)))=k6_domain_1(u1_struct_0(A), k4_struct_0(A))) ) ).
fof(t49_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_algstr_0(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v1_algstr_1(A) & l6_algstr_0(A)) ) ) ) )  => k8_ideal_1(A, k6_domain_1(u1_struct_0(A), k4_struct_0(A)))=k6_domain_1(u1_struct_0(A), k4_struct_0(A))) ) ).
fof(t50_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_algstr_0(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) & l6_algstr_0(A)) ) ) )  => k9_ideal_1(A, k6_domain_1(u1_struct_0(A), k4_struct_0(A)))=k6_domain_1(u1_struct_0(A), k4_struct_0(A))) ) ).
fof(t51_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) & l6_algstr_0(A)) )  => k7_ideal_1(A, k6_domain_1(u1_struct_0(A), k5_struct_0(A)))=u1_struct_0(A)) ) ).
fof(t52_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_vectsp_1(A) & l6_algstr_0(A)) )  => k8_ideal_1(A, k6_domain_1(u1_struct_0(A), k5_struct_0(A)))=u1_struct_0(A)) ) ).
fof(t53_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_vectsp_1(A) & l6_algstr_0(A)) )  => k9_ideal_1(A, k6_domain_1(u1_struct_0(A), k5_struct_0(A)))=u1_struct_0(A)) ) ).
fof(t54_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  => k7_ideal_1(A, k2_struct_0(A))=u1_struct_0(A)) ) ).
fof(t55_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  => k8_ideal_1(A, k2_struct_0(A))=u1_struct_0(A)) ) ).
fof(t56_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  => k9_ideal_1(A, k2_struct_0(A))=u1_struct_0(A)) ) ).
fof(t57_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (r1_tarski(B, C) => r1_tarski(k7_ideal_1(A, B), k7_ideal_1(A, C))) ) ) ) ) ) ) ).
fof(t58_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (r1_tarski(B, C) => r1_tarski(k8_ideal_1(A, B), k8_ideal_1(A, C))) ) ) ) ) ) ) ).
fof(t59_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (r1_tarski(B, C) => r1_tarski(k9_ideal_1(A, B), k9_ideal_1(A, C))) ) ) ) ) ) ) ).
fof(t60_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v1_algstr_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (r2_tarski(C, k7_ideal_1(A, B)) <=>  (? [D] :  (m1_ideal_1(D, A, B) & C=k4_rlvect_1(A, D)) ) ) ) ) ) ) ) ).
fof(t61_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v1_algstr_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (r2_tarski(C, k8_ideal_1(A, B)) <=>  (? [D] :  (m2_ideal_1(D, A, B) & C=k4_rlvect_1(A, D)) ) ) ) ) ) ) ) ).
fof(t62_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v1_algstr_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (r2_tarski(C, k9_ideal_1(A, B)) <=>  (? [D] :  (m3_ideal_1(D, A, B) & C=k4_rlvect_1(A, D)) ) ) ) ) ) ) ) ).
fof(t63_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_algstr_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (k7_ideal_1(A, B)=k8_ideal_1(A, B) & k7_ideal_1(A, B)=k9_ideal_1(A, B)) ) ) ) ) ).
fof(t66_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r2_tarski(B, k7_ideal_1(A, k6_domain_1(u1_struct_0(A), B)))) ) ) ) ).
fof(t67_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_algstr_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, k7_ideal_1(A, B)) => r1_tarski(k7_ideal_1(A, k6_domain_1(u1_struct_0(A), C)), k7_ideal_1(A, B))) ) ) ) ) ) ) ).
fof(t68_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(B, k7_ideal_1(A, k7_domain_1(u1_struct_0(A), B, C))) & r2_tarski(C, k7_ideal_1(A, k7_domain_1(u1_struct_0(A), B, C)))) ) ) ) ) ) ) ).
fof(t69_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_tarski(k7_ideal_1(A, k6_domain_1(u1_struct_0(A), B)), k7_ideal_1(A, k7_domain_1(u1_struct_0(A), B, C))) & r1_tarski(k7_ideal_1(A, k6_domain_1(u1_struct_0(A), C)), k7_ideal_1(A, k7_domain_1(u1_struct_0(A), B, C)))) ) ) ) ) ) ) ).
fof(t70_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_algstr_0(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) & l6_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => k10_ideal_1(A, B, k4_struct_0(A))=k6_domain_1(u1_struct_0(A), k4_struct_0(A))) ) ) ) ).
fof(t71_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_vectsp_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k10_ideal_1(A, B, k5_struct_0(A))=B) ) ) ) ).
fof(t72_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) & l2_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => k11_ideal_1(A, B, k11_ideal_1(A, C, D))=k11_ideal_1(A, k11_ideal_1(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t73_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_algstr_0(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v1_algstr_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v3_ideal_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => r1_tarski(B, k11_ideal_1(A, B, C))) ) ) ) ) ) ).
fof(t74_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_algstr_0(A) &  (v1_vectsp_1(A) &  (v1_algstr_1(A) & l6_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v3_ideal_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => r1_tarski(C, k11_ideal_1(A, B, C))) ) ) ) ) ) ).
fof(t75_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  ( (v1_ideal_1(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  =>  ( (r1_tarski(B, D) & r1_tarski(C, D))  => r1_tarski(k11_ideal_1(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t76_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_algstr_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k7_ideal_1(A, k7_domain_1(u1_struct_0(A), B, C))=k12_ideal_1(A, k7_ideal_1(A, k6_domain_1(u1_struct_0(A), B)), k7_ideal_1(A, k6_domain_1(u1_struct_0(A), C)))) ) ) ) ) ) ).
fof(t77_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) &  (v6_vectsp_1(A) &  (v1_algstr_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  =>  (r1_tarski(C, B) => k13_ideal_1(A, B, k12_ideal_1(A, C, D))=k12_ideal_1(A, C, k13_ideal_1(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t78_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_algstr_0(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) &  (v1_algstr_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => k14_ideal_1(A, k6_domain_1(u1_struct_0(A), k4_struct_0(A)), B)=k6_domain_1(u1_struct_0(A), k4_struct_0(A))) ) ) ) ).
fof(t79_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_algstr_0(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v1_algstr_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_ideal_1(C, A) &  (v2_ideal_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  => r1_tarski(k14_ideal_1(A, B, C), k13_ideal_1(A, B, C))) ) ) ) ) ) ).
fof(t80_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v1_algstr_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v3_ideal_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v3_ideal_1(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) )  => k14_ideal_1(A, B, k12_ideal_1(A, C, D))=k12_ideal_1(A, k14_ideal_1(A, B, C), k14_ideal_1(A, B, D))) ) ) ) ) ) ) ) ).
fof(t81_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_algstr_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v3_ideal_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => r1_tarski(k15_ideal_1(A, k12_ideal_1(A, B, C), k13_ideal_1(A, B, C)), k15_ideal_1(A, B, C))) ) ) ) ) ) ).
fof(t82_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_algstr_0(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) & l6_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_ideal_1(C, A) &  (v2_ideal_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  => r1_tarski(k14_ideal_1(A, k11_ideal_1(A, B, C), k13_ideal_1(A, B, C)), k13_ideal_1(A, B, C))) ) ) ) ) ) ).
fof(d22_ideal_1, axiom,  (! [A] :  (l1_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r4_ideal_1(A, B, C) <=> k11_ideal_1(A, B, C)=u1_struct_0(A)) ) ) ) ) ) ) ).
fof(t83_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_vectsp_1(A) &  (v1_algstr_1(A) & l6_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (r4_ideal_1(A, B, C) => r1_tarski(k13_ideal_1(A, B, C), k14_ideal_1(A, k11_ideal_1(A, B, C), k13_ideal_1(A, B, C)))) ) ) ) ) ) ) ).
fof(t84_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v6_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_algstr_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_ideal_1(C, A) &  (v2_ideal_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (r4_ideal_1(A, B, C) => k15_ideal_1(A, B, C)=k13_ideal_1(A, B, C)) ) ) ) ) ) ) ).
fof(t85_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(B, k16_ideal_1(A, B, C))) ) ) ) ) ) ).
fof(t86_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_algstr_0(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) & l6_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k14_ideal_1(A, k16_ideal_1(A, B, C), C), B)) ) ) ) ) ) ).
fof(t87_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_algstr_0(A) &  (v1_vectsp_1(A) &  (v1_algstr_1(A) & l6_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k14_ideal_1(A, k16_ideal_1(A, B, C), C), B)) ) ) ) ) ) ).
fof(t88_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_algstr_0(A) &  (v1_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_algstr_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => k16_ideal_1(A, k16_ideal_1(A, B, C), D)=k16_ideal_1(A, B, k15_ideal_1(A, C, D))) ) ) ) ) ) ) ) ).
fof(t89_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => k16_ideal_1(A, k13_ideal_1(A, C, D), B)=k13_ideal_1(A, k16_ideal_1(A, C, B), k16_ideal_1(A, D, B))) ) ) ) ) ) ) ) ).
fof(t90_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_algstr_0(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v1_algstr_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( (v1_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v3_ideal_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v3_ideal_1(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) )  => k16_ideal_1(A, B, k11_ideal_1(A, C, D))=k13_ideal_1(A, k16_ideal_1(A, B, C), k16_ideal_1(A, B, D))) ) ) ) ) ) ) ) ).
fof(t91_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, k17_ideal_1(A, B)) <=>  (? [D] :  (m1_subset_1(D, k4_ordinal1) & r2_tarski(k2_binom(A, C, D), k17_ideal_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(t92_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_algstr_0(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v1_algstr_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_ideal_1(C, A) &  (v2_ideal_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  => k17_ideal_1(A, k14_ideal_1(A, B, C))=k17_ideal_1(A, k13_ideal_1(A, B, C))) ) ) ) ) ) ).
fof(d25_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  (v5_ideal_1(B, A) <=>  (? [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  & B=k7_ideal_1(A, C)) ) ) ) ) ) ) ).
fof(d26_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (v6_ideal_1(A) <=>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  => v5_ideal_1(B, A)) ) ) ) ) ).
fof(d27_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  (v7_ideal_1(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & B=k7_ideal_1(A, k6_domain_1(u1_struct_0(A), C))) ) ) ) ) ) ) ).
fof(d28_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (v8_ideal_1(A) <=>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  => v7_ideal_1(B, A)) ) ) ) ) ).
fof(t93_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( ( ~ (B=k6_domain_1(u1_struct_0(A), k4_struct_0(A)))  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (C=k4_struct_0(A))  & r2_tarski(C, B)) ) ) ) ) ) ) ) ) ) ).
fof(t94_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_algstr_1(A) &  (v1_int_3(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  => v8_ideal_1(A)) ) ).
fof(t95_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (v8_ideal_1(A) => v6_ideal_1(A)) ) ) ).
fof(t96_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v1_algstr_1(A) &  (v6_ideal_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (? [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  &  (r1_tarski(C, B) & k7_ideal_1(A, C)=k7_ideal_1(A, B)) ) ) ) ) ) ) ).
fof(t97_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  ( (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (? [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  &  (r1_tarski(C, B) & k7_ideal_1(A, C)=k7_ideal_1(A, B)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (? [C] :  (m1_subset_1(C, k4_ordinal1) & r2_tarski(k3_funct_2(k4_ordinal1, u1_struct_0(A), B, k1_nat_1(C, 1)), k7_ideal_1(A, k2_relset_1(u1_struct_0(A), k2_partfun1(k4_ordinal1, u1_struct_0(A), B, k1_nat_1(C, 1)))))) ) ) ) ) ) ) ).
fof(t98_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  ( (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (? [C] :  (m1_subset_1(C, k4_ordinal1) & r2_tarski(k3_funct_2(k4_ordinal1, u1_struct_0(A), B, k1_nat_1(C, 1)), k7_ideal_1(A, k2_relset_1(u1_struct_0(A), k2_partfun1(k4_ordinal1, u1_struct_0(A), B, k1_nat_1(C, 1)))))) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) )  =>  ~ ( ( (! [C] :  (v7_ordinal1(C) =>  ( ~ (v1_xboole_0(k8_nat_1(k9_setfam_1(u1_struct_0(A)), B, C)))  &  (v1_ideal_1(k8_nat_1(k9_setfam_1(u1_struct_0(A)), B, C), A) &  (v2_ideal_1(k8_nat_1(k9_setfam_1(u1_struct_0(A)), B, C), A) &  (v3_ideal_1(k8_nat_1(k9_setfam_1(u1_struct_0(A)), B, C), A) & m1_subset_1(k8_nat_1(k9_setfam_1(u1_struct_0(A)), B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) )  &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( ~ (r1_xxreal_0(D, C))  => r2_xboole_0(k8_nat_1(k9_setfam_1(u1_struct_0(A)), B, C), k8_nat_1(k9_setfam_1(u1_struct_0(A)), B, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t99_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  ( (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) )  =>  ~ ( ( (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( ~ (v1_xboole_0(k3_funct_2(k4_ordinal1, k9_setfam_1(u1_struct_0(A)), B, C)))  &  (v1_ideal_1(k3_funct_2(k4_ordinal1, k9_setfam_1(u1_struct_0(A)), B, C), A) &  (v2_ideal_1(k3_funct_2(k4_ordinal1, k9_setfam_1(u1_struct_0(A)), B, C), A) &  (v3_ideal_1(k3_funct_2(k4_ordinal1, k9_setfam_1(u1_struct_0(A)), B, C), A) & m1_subset_1(k3_funct_2(k4_ordinal1, k9_setfam_1(u1_struct_0(A)), B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) )  &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( ~ (r1_xxreal_0(D, C))  => r2_xboole_0(k3_funct_2(k4_ordinal1, k9_setfam_1(u1_struct_0(A)), B, C), k3_funct_2(k4_ordinal1, k9_setfam_1(u1_struct_0(A)), B, D))) ) ) ) ) ) ) ) )  => v6_ideal_1(A)) ) ) ).
fof(redefinition_v4_ideal_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v7_algstr_0(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v1_algstr_1(A) & l6_algstr_0(A)) ) ) ) )  &  ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) )  =>  (v4_ideal_1(B, A) <=> v1_zfmisc_1(B)) ) ) ).
fof(dt_k1_ideal_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v1_funct_1(k1_ideal_1(A, B)) &  (v1_funct_2(k1_ideal_1(A, B), k2_zfmisc_1(B, B), B) & m1_subset_1(k1_ideal_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) ) ) ) ).
fof(dt_k2_ideal_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v1_funct_1(k2_ideal_1(A, B)) &  (v1_funct_2(k2_ideal_1(A, B), k2_zfmisc_1(B, B), B) & m1_subset_1(k2_ideal_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) ) ) ) ).
fof(dt_k3_ideal_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ( ~ (v2_struct_0(k3_ideal_1(A, B)))  & l2_algstr_0(k3_ideal_1(A, B))) ) ) ).
fof(dt_m1_ideal_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [C] :  (m1_ideal_1(C, A, B) => m2_finseq_1(C, u1_struct_0(A))) ) ) ) ).
fof(existence_m1_ideal_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (? [C] : m1_ideal_1(C, A, B)) ) ) ).
fof(dt_m2_ideal_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [C] :  (m2_ideal_1(C, A, B) => m2_finseq_1(C, u1_struct_0(A))) ) ) ) ).
fof(existence_m2_ideal_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (? [C] : m2_ideal_1(C, A, B)) ) ) ).
fof(dt_m3_ideal_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [C] :  (m3_ideal_1(C, A, B) => m2_finseq_1(C, u1_struct_0(A))) ) ) ) ).
fof(existence_m3_ideal_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (? [C] : m3_ideal_1(C, A, B)) ) ) ).
fof(dt_k4_ideal_1, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  &  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  &  (m1_ideal_1(D, A, B) & m1_ideal_1(E, A, C)) ) ) )  => m1_ideal_1(k4_ideal_1(A, B, C, D, E), A, k4_subset_1(u1_struct_0(A), B, C))) ) ).
fof(redefinition_k4_ideal_1, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  &  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  &  (m1_ideal_1(D, A, B) & m1_ideal_1(E, A, C)) ) ) )  => k4_ideal_1(A, B, C, D, E)=k7_finseq_1(D, E)) ) ).
fof(dt_k5_ideal_1, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  &  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  &  (m2_ideal_1(D, A, B) & m2_ideal_1(E, A, C)) ) ) )  => m2_ideal_1(k5_ideal_1(A, B, C, D, E), A, k4_subset_1(u1_struct_0(A), B, C))) ) ).
fof(redefinition_k5_ideal_1, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  &  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  &  (m2_ideal_1(D, A, B) & m2_ideal_1(E, A, C)) ) ) )  => k5_ideal_1(A, B, C, D, E)=k7_finseq_1(D, E)) ) ).
fof(dt_k6_ideal_1, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  &  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  &  (m3_ideal_1(D, A, B) & m3_ideal_1(E, A, C)) ) ) )  => m3_ideal_1(k6_ideal_1(A, B, C, D, E), A, k4_subset_1(u1_struct_0(A), B, C))) ) ).
fof(redefinition_k6_ideal_1, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  &  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  &  (m3_ideal_1(D, A, B) & m3_ideal_1(E, A, C)) ) ) )  => k6_ideal_1(A, B, C, D, E)=k7_finseq_1(D, E)) ) ).
fof(dt_k7_ideal_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ( ~ (v1_xboole_0(k7_ideal_1(A, B)))  &  (v1_ideal_1(k7_ideal_1(A, B), A) &  (v2_ideal_1(k7_ideal_1(A, B), A) &  (v3_ideal_1(k7_ideal_1(A, B), A) & m1_subset_1(k7_ideal_1(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ).
fof(dt_k8_ideal_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ( ~ (v1_xboole_0(k8_ideal_1(A, B)))  &  (v1_ideal_1(k8_ideal_1(A, B), A) &  (v2_ideal_1(k8_ideal_1(A, B), A) & m1_subset_1(k8_ideal_1(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ).
fof(dt_k9_ideal_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ( ~ (v1_xboole_0(k9_ideal_1(A, B)))  &  (v1_ideal_1(k9_ideal_1(A, B), A) &  (v3_ideal_1(k9_ideal_1(A, B), A) & m1_subset_1(k9_ideal_1(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ).
fof(dt_m4_ideal_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) )  =>  (! [C] :  (m4_ideal_1(C, A, B) =>  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ).
fof(existence_m4_ideal_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) )  =>  (? [C] : m4_ideal_1(C, A, B)) ) ) ).
fof(dt_k10_ideal_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k10_ideal_1(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k11_ideal_1, axiom,  (! [A, B, C] :  ( (l1_algstr_0(A) &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k11_ideal_1(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k12_ideal_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) & l2_algstr_0(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k12_ideal_1(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(commutativity_k12_ideal_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) & l2_algstr_0(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => k12_ideal_1(A, B, C)=k12_ideal_1(A, C, B)) ) ).
fof(redefinition_k12_ideal_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) & l2_algstr_0(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => k12_ideal_1(A, B, C)=k11_ideal_1(A, B, C)) ) ).
fof(dt_k13_ideal_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k13_ideal_1(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(commutativity_k13_ideal_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => k13_ideal_1(A, B, C)=k13_ideal_1(A, C, B)) ) ).
fof(idempotence_k13_ideal_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => k13_ideal_1(A, B, B)=B) ) ).
fof(redefinition_k13_ideal_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => k13_ideal_1(A, B, C)=k3_xboole_0(B, C)) ) ).
fof(dt_k14_ideal_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k14_ideal_1(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k15_ideal_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v5_group_1(A) & l6_algstr_0(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k15_ideal_1(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(commutativity_k15_ideal_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v5_group_1(A) & l6_algstr_0(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => k15_ideal_1(A, B, C)=k15_ideal_1(A, C, B)) ) ).
fof(redefinition_k15_ideal_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v5_group_1(A) & l6_algstr_0(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => k15_ideal_1(A, B, C)=k14_ideal_1(A, B, C)) ) ).
fof(dt_k16_ideal_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k16_ideal_1(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k17_ideal_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) & l6_algstr_0(A)) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k17_ideal_1(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(t64_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_algstr_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k7_ideal_1(A, k6_domain_1(u1_struct_0(A), B))=a_2_0_ideal_1(A, B)) ) ) ) ).
fof(t65_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_algstr_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k7_ideal_1(A, k7_domain_1(u1_struct_0(A), B, C))=a_3_0_ideal_1(A, B, C)) ) ) ) ) ) ).
fof(d18_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k10_ideal_1(A, B, C)=a_3_1_ideal_1(A, B, C)) ) ) ) ) ) ).
fof(d19_ideal_1, axiom,  (! [A] :  (l1_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k11_ideal_1(A, B, C)=a_3_2_ideal_1(A, B, C)) ) ) ) ) ) ).
fof(d20_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k13_ideal_1(A, B, C)=a_3_3_ideal_1(A, B, C)) ) ) ) ) ) ).
fof(d21_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k14_ideal_1(A, B, C)=a_3_4_ideal_1(A, B, C)) ) ) ) ) ) ).
fof(d23_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k16_ideal_1(A, B, C)=a_3_5_ideal_1(A, B, C)) ) ) ) ) ) ).
fof(d24_ideal_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k17_ideal_1(A, B)=a_2_1_ideal_1(A, B)) ) ) ) ).
fof(fraenkel_a_2_0_ideal_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v7_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v1_algstr_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_2_0_ideal_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) & A=k8_group_1(B, C, D)) ) ) ) ) ).
fof(fraenkel_a_3_0_ideal_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v7_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v1_algstr_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_0_ideal_1(B, C, D)) <=>  (? [E, F] :  ( (m1_subset_1(E, u1_struct_0(B)) & m1_subset_1(F, u1_struct_0(B)))  & A=k3_rlvect_1(B, k8_group_1(B, C, E), k8_group_1(B, D, F))) ) ) ) ) ).
fof(fraenkel_a_3_1_ideal_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  &  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_1_ideal_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k6_algstr_0(B, D, E) & r2_tarski(E, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_2_ideal_1, axiom,  (! [A, B, C, D] :  ( (l1_algstr_0(B) &  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (r2_hidden(A, a_3_2_ideal_1(B, C, D)) <=>  (? [E, F] :  ( (m1_subset_1(E, u1_struct_0(B)) & m1_subset_1(F, u1_struct_0(B)))  &  (A=k1_algstr_0(B, E, F) &  (r2_tarski(E, C) & r2_tarski(F, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_3_ideal_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  & l1_struct_0(B))  &  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (r2_hidden(A, a_3_3_ideal_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E &  (r2_tarski(E, C) & r2_tarski(E, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_4_ideal_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  & l6_algstr_0(B))  &  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (r2_hidden(A, a_3_4_ideal_1(B, C, D)) <=>  (? [E] :  (m2_finseq_1(E, u1_struct_0(B)) &  (A=k4_rlvect_1(B, E) &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  ~ ( (r1_xxreal_0(1, F) &  (r1_xxreal_0(F, k3_finseq_1(E)) &  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  ~ ( (k1_funct_1(E, F)=k6_algstr_0(B, G, H) &  (r2_tarski(G, C) & r2_tarski(H, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_5_ideal_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  &  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (r2_hidden(A, a_3_5_ideal_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E & r1_tarski(k10_ideal_1(B, D, E), C)) ) ) ) ) ) ).
fof(fraenkel_a_2_1_ideal_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v4_vectsp_1(B) & l6_algstr_0(B)) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_1_ideal_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D &  (? [E] :  (m1_subset_1(E, k4_ordinal1) & r2_tarski(k2_binom(B, D, E), C)) ) ) ) ) ) ) ) ).
fof(fc1_incproj, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) & l1_collsp(A)) ) ) )  =>  ~ (v1_xboole_0(k1_incproj(A))) ) ) ).
fof(fc2_incproj, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) & l1_collsp(A)) ) ) )  => v1_incsp_1(k3_incproj(A))) ) ).
fof(fc3_incproj, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) & l1_collsp(A)) ) ) ) ) )  =>  (v6_incsp_1(k3_incproj(A)) &  (v1_incproj(k3_incproj(A)) &  (v2_incproj(k3_incproj(A)) &  (v3_incproj(k3_incproj(A)) & v4_incproj(k3_incproj(A))) ) ) ) ) ) ).
fof(rc1_incproj, axiom,  (? [A] :  (l1_incsp_1(A) &  (v1_incsp_1(A) &  (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) & v4_incproj(A)) ) ) ) ) ) ) ).
fof(fc4_incproj, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) & l1_collsp(A)) ) ) ) ) )  =>  (v6_incsp_1(k3_incproj(A)) &  (v1_incproj(k3_incproj(A)) &  (v2_incproj(k3_incproj(A)) &  (v3_incproj(k3_incproj(A)) & v4_incproj(k3_incproj(A))) ) ) ) ) ) ).
fof(rc2_incproj, axiom,  (? [A] :  (l1_incsp_1(A) &  (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  ( ~ (v5_incproj(A))  &  (v6_incproj(A) &  (v8_incproj(A) & v9_incproj(A)) ) ) ) ) ) ) ) ) ) ).
fof(rc3_incproj, axiom,  (? [A] :  (l1_incsp_1(A) &  (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  ( ~ (v5_incproj(A))  &  (v6_incproj(A) &  (v8_incproj(A) & v10_incproj(A)) ) ) ) ) ) ) ) ) ) ).
fof(rc4_incproj, axiom,  (? [A] :  (l1_incsp_1(A) &  (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) &  (v8_incproj(A) & v9_incproj(A)) ) ) ) ) ) ) ) ) ).
fof(rc5_incproj, axiom,  (? [A] :  (l1_incsp_1(A) &  (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) &  (v8_incproj(A) & v10_incproj(A)) ) ) ) ) ) ) ) ) ).
fof(t1_incproj, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) & l1_collsp(A)) ) ) )  =>  (! [B] :  (m1_incproj(B, A) <=> m1_subset_1(B, k1_incproj(A))) ) ) ) ).
fof(d2_incproj, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) & l1_collsp(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_incproj(A)))) =>  (B=k2_incproj(A) <=>  (! [C] :  (! [D] :  (r2_hidden(k4_tarski(C, D), B) <=>  (r2_hidden(C, u1_struct_0(A)) &  (r2_hidden(D, k1_incproj(A)) &  (? [E] :  (D=E & r2_hidden(C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_incproj, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) & l1_collsp(A)) ) ) )  => k3_incproj(A)=g1_incsp_1(u1_struct_0(A), k1_incproj(A), k2_incproj(A))) ) ).
fof(t2_incproj, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) & l1_collsp(A)) ) ) )  =>  (u1_incsp_1(k3_incproj(A))=u1_struct_0(A) &  (u2_incsp_1(k3_incproj(A))=k1_incproj(A) & u3_incsp_1(k3_incproj(A))=k2_incproj(A)) ) ) ) ).
fof(t3_incproj, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) & l1_collsp(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) <=> m1_subset_1(B, u1_incsp_1(k3_incproj(A)))) ) ) ) ).
fof(t4_incproj, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) & l1_collsp(A)) ) ) )  =>  (! [B] :  (m1_incproj(B, A) <=> m1_subset_1(B, u2_incsp_1(k3_incproj(A)))) ) ) ) ).
fof(t5_incproj, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) & l1_collsp(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(k3_incproj(A))) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(k3_incproj(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_incproj(E, A) =>  ( (B=D & C=E)  =>  (r1_incsp_1(k3_incproj(A), B, C) <=> r2_tarski(D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_incproj, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) & l1_collsp(A)) ) ) )  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  ( ~ (B=C)  &  ( ~ (C=D)  &  ~ (D=B) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_incproj, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) & l1_collsp(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => B=C) ) ) ) ) ) ) ).
fof(t8_incproj, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) & l1_collsp(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(k3_incproj(A))) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(k3_incproj(A))) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(k3_incproj(A))) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(k3_incproj(A))) =>  ~ ( (r1_incsp_1(k3_incproj(A), B, D) &  (r1_incsp_1(k3_incproj(A), C, D) &  (r1_incsp_1(k3_incproj(A), B, E) &  (r1_incsp_1(k3_incproj(A), C, E) &  ( ~ (B=C)  &  ~ (D=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_incproj, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) & l1_collsp(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(k3_incproj(A))) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(k3_incproj(A))) =>  (? [D] :  (m1_subset_1(D, u2_incsp_1(k3_incproj(A))) &  (r1_incsp_1(k3_incproj(A), B, D) & r1_incsp_1(k3_incproj(A), C, D)) ) ) ) ) ) ) ) ) ).
fof(t10_incproj, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) & l1_collsp(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(k3_incproj(A))) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(k3_incproj(A))) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(k3_incproj(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (B=E &  (C=F & D=G) )  =>  (r1_collsp(A, E, F, G) <=>  (? [H] :  (m1_subset_1(H, u2_incsp_1(k3_incproj(A))) &  (r1_incsp_1(k3_incproj(A), B, H) &  (r1_incsp_1(k3_incproj(A), C, H) & r1_incsp_1(k3_incproj(A), D, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_incproj, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) & l1_collsp(A)) ) ) )  =>  ~ ( (! [B] :  (m1_subset_1(B, u1_incsp_1(k3_incproj(A))) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(k3_incproj(A))) => r1_incsp_1(k3_incproj(A), B, C)) ) ) ) ) ) ) ).
fof(t12_incproj, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) & l1_collsp(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(k3_incproj(A))) =>  (? [C] :  (m1_subset_1(C, u1_incsp_1(k3_incproj(A))) &  (? [D] :  (m1_subset_1(D, u1_incsp_1(k3_incproj(A))) &  (? [E] :  (m1_subset_1(E, u1_incsp_1(k3_incproj(A))) &  ( ~ (C=D)  &  ( ~ (D=E)  &  ( ~ (E=C)  &  (r1_incsp_1(k3_incproj(A), C, B) &  (r1_incsp_1(k3_incproj(A), D, B) & r1_incsp_1(k3_incproj(A), E, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_incproj, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) & l1_collsp(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(k3_incproj(A))) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(k3_incproj(A))) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(k3_incproj(A))) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(k3_incproj(A))) =>  (! [F] :  (m1_subset_1(F, u1_incsp_1(k3_incproj(A))) =>  (! [G] :  (m1_subset_1(G, u2_incsp_1(k3_incproj(A))) =>  (! [H] :  (m1_subset_1(H, u2_incsp_1(k3_incproj(A))) =>  (! [I] :  (m1_subset_1(I, u2_incsp_1(k3_incproj(A))) =>  (! [J] :  (m1_subset_1(J, u2_incsp_1(k3_incproj(A))) =>  ~ ( (r1_incsp_1(k3_incproj(A), B, I) &  (r1_incsp_1(k3_incproj(A), C, I) &  (r1_incsp_1(k3_incproj(A), D, J) &  (r1_incsp_1(k3_incproj(A), E, J) &  (r1_incsp_1(k3_incproj(A), F, I) &  (r1_incsp_1(k3_incproj(A), F, J) &  (r1_incsp_1(k3_incproj(A), B, G) &  (r1_incsp_1(k3_incproj(A), D, G) &  (r1_incsp_1(k3_incproj(A), C, H) &  (r1_incsp_1(k3_incproj(A), E, H) &  ( ~ (r1_incsp_1(k3_incproj(A), F, G))  &  ( ~ (r1_incsp_1(k3_incproj(A), F, H))  &  ( ~ (I=J)  &  (! [K] :  (m1_subset_1(K, u1_incsp_1(k3_incproj(A))) =>  ~ ( (r1_incsp_1(k3_incproj(A), K, G) & r1_incsp_1(k3_incproj(A), K, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_incproj, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) & l1_collsp(A)) ) ) ) ) )  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (r1_collsp(A, B, C, F) & r1_collsp(A, D, E, F)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(k3_incproj(A))) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(k3_incproj(A))) =>  (? [D] :  (m1_subset_1(D, u1_incsp_1(k3_incproj(A))) &  (r1_incsp_1(k3_incproj(A), D, B) & r1_incsp_1(k3_incproj(A), D, C)) ) ) ) ) ) ) ) ) ) ).
fof(t15_incproj, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) & l1_collsp(A)) ) ) ) ) )  =>  ~ ( ( (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r1_collsp(A, B, C, F) & r1_collsp(A, D, E, F)) ) ) ) ) ) ) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u2_incsp_1(k3_incproj(A))) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(k3_incproj(A))) =>  (? [D] :  (m1_subset_1(D, u1_incsp_1(k3_incproj(A))) &  (r1_incsp_1(k3_incproj(A), D, B) & r1_incsp_1(k3_incproj(A), D, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_incproj, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) & l1_collsp(A)) ) ) ) ) )  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  (? [H] :  (m1_subset_1(H, u1_struct_0(A)) &  (r1_collsp(A, B, D, G) &  (r1_collsp(A, C, E, H) & r1_collsp(A, F, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(k3_incproj(A))) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(k3_incproj(A))) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(k3_incproj(A))) =>  (? [E] :  (m1_subset_1(E, u1_incsp_1(k3_incproj(A))) &  (? [F] :  (m1_subset_1(F, u1_incsp_1(k3_incproj(A))) &  (? [G] :  (m1_subset_1(G, u2_incsp_1(k3_incproj(A))) &  (r1_incsp_1(k3_incproj(A), B, G) &  (r1_incsp_1(k3_incproj(A), E, G) &  (r1_incsp_1(k3_incproj(A), F, G) &  (r1_incsp_1(k3_incproj(A), E, C) & r1_incsp_1(k3_incproj(A), F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_incproj, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) & l1_collsp(A)) ) ) ) ) )  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ~ ( (r1_collsp(A, B, C, D) &  (r1_collsp(A, E, F, D) &  (r1_collsp(A, B, E, G) &  (r1_collsp(A, C, F, G) &  (r1_collsp(A, B, F, H) &  (r1_collsp(A, C, E, H) &  (r1_collsp(A, G, D, H) &  ( ~ (r1_collsp(A, B, C, F))  &  ( ~ (r1_collsp(A, B, C, E))  &  ( ~ (r1_collsp(A, B, E, F))  &  ~ (r1_collsp(A, C, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(k3_incproj(A))) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(k3_incproj(A))) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(k3_incproj(A))) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(k3_incproj(A))) =>  (! [F] :  (m1_subset_1(F, u1_incsp_1(k3_incproj(A))) =>  (! [G] :  (m1_subset_1(G, u1_incsp_1(k3_incproj(A))) =>  (! [H] :  (m1_subset_1(H, u1_incsp_1(k3_incproj(A))) =>  (! [I] :  (m1_subset_1(I, u2_incsp_1(k3_incproj(A))) =>  (! [J] :  (m1_subset_1(J, u2_incsp_1(k3_incproj(A))) =>  (! [K] :  (m1_subset_1(K, u2_incsp_1(k3_incproj(A))) =>  (! [L] :  (m1_subset_1(L, u2_incsp_1(k3_incproj(A))) =>  (! [M] :  (m1_subset_1(M, u2_incsp_1(k3_incproj(A))) =>  (! [N] :  (m1_subset_1(N, u2_incsp_1(k3_incproj(A))) =>  (! [O] :  (m1_subset_1(O, u2_incsp_1(k3_incproj(A))) =>  ~ ( ( ~ (r1_incsp_1(k3_incproj(A), C, I))  &  ( ~ (r1_incsp_1(k3_incproj(A), D, I))  &  ( ~ (r1_incsp_1(k3_incproj(A), B, J))  &  ( ~ (r1_incsp_1(k3_incproj(A), E, J))  &  ( ~ (r1_incsp_1(k3_incproj(A), B, K))  &  ( ~ (r1_incsp_1(k3_incproj(A), D, K))  &  (r4_incsp_1(k3_incproj(A), k8_domain_1(u1_incsp_1(k3_incproj(A)), F, B, E), I) &  (r4_incsp_1(k3_incproj(A), k8_domain_1(u1_incsp_1(k3_incproj(A)), F, C, D), J) &  (r4_incsp_1(k3_incproj(A), k8_domain_1(u1_incsp_1(k3_incproj(A)), G, C, E), K) &  (r4_incsp_1(k3_incproj(A), k8_domain_1(u1_incsp_1(k3_incproj(A)), G, B, D), L) &  (r4_incsp_1(k3_incproj(A), k8_domain_1(u1_incsp_1(k3_incproj(A)), H, B, C), M) &  (r4_incsp_1(k3_incproj(A), k8_domain_1(u1_incsp_1(k3_incproj(A)), H, D, E), N) &  (r4_incsp_1(k3_incproj(A), k7_domain_1(u1_incsp_1(k3_incproj(A)), F, G), O) & r1_incsp_1(k3_incproj(A), H, O)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_incproj, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) & l1_collsp(A)) ) ) ) ) )  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  ( (r1_collsp(A, C, D, K) &  (r1_collsp(A, F, G, K) &  (r1_collsp(A, D, E, I) &  (r1_collsp(A, G, H, I) &  (r1_collsp(A, C, E, J) &  (r1_collsp(A, F, H, J) &  (r1_collsp(A, B, C, F) &  (r1_collsp(A, B, D, G) & r1_collsp(A, B, E, H)) ) ) ) ) ) ) )  =>  (B=F |  (C=F |  (B=G |  (D=G |  (B=H |  (E=H |  (r1_collsp(A, B, C, D) |  (r1_collsp(A, B, C, E) |  (r1_collsp(A, B, D, E) | r1_collsp(A, I, J, K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(k3_incproj(A))) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(k3_incproj(A))) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(k3_incproj(A))) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(k3_incproj(A))) =>  (! [F] :  (m1_subset_1(F, u1_incsp_1(k3_incproj(A))) =>  (! [G] :  (m1_subset_1(G, u1_incsp_1(k3_incproj(A))) =>  (! [H] :  (m1_subset_1(H, u1_incsp_1(k3_incproj(A))) =>  (! [I] :  (m1_subset_1(I, u1_incsp_1(k3_incproj(A))) =>  (! [J] :  (m1_subset_1(J, u1_incsp_1(k3_incproj(A))) =>  (! [K] :  (m1_subset_1(K, u1_incsp_1(k3_incproj(A))) =>  (! [L] :  (m1_subset_1(L, u2_incsp_1(k3_incproj(A))) =>  (! [M] :  (m1_subset_1(M, u2_incsp_1(k3_incproj(A))) =>  (! [N] :  (m1_subset_1(N, u2_incsp_1(k3_incproj(A))) =>  (! [O] :  (m1_subset_1(O, u2_incsp_1(k3_incproj(A))) =>  (! [P] :  (m1_subset_1(P, u2_incsp_1(k3_incproj(A))) =>  (! [Q] :  (m1_subset_1(Q, u2_incsp_1(k3_incproj(A))) =>  (! [R] :  (m1_subset_1(R, u2_incsp_1(k3_incproj(A))) =>  (! [S] :  (m1_subset_1(S, u2_incsp_1(k3_incproj(A))) =>  (! [T] :  (m1_subset_1(T, u2_incsp_1(k3_incproj(A))) =>  ~ ( (r4_incsp_1(k3_incproj(A), k8_domain_1(u1_incsp_1(k3_incproj(A)), B, C, D), L) &  (r4_incsp_1(k3_incproj(A), k8_domain_1(u1_incsp_1(k3_incproj(A)), B, F, E), M) &  (r4_incsp_1(k3_incproj(A), k8_domain_1(u1_incsp_1(k3_incproj(A)), B, H, G), N) &  (r4_incsp_1(k3_incproj(A), k8_domain_1(u1_incsp_1(k3_incproj(A)), H, F, K), O) &  (r4_incsp_1(k3_incproj(A), k8_domain_1(u1_incsp_1(k3_incproj(A)), H, I, D), P) &  (r4_incsp_1(k3_incproj(A), k8_domain_1(u1_incsp_1(k3_incproj(A)), F, J, D), Q) &  (r4_incsp_1(k3_incproj(A), k8_domain_1(u1_incsp_1(k3_incproj(A)), K, E, G), R) &  (r4_incsp_1(k3_incproj(A), k8_domain_1(u1_incsp_1(k3_incproj(A)), C, I, G), S) &  (r4_incsp_1(k3_incproj(A), k8_domain_1(u1_incsp_1(k3_incproj(A)), C, J, E), T) &  (r1_zfmisc_1(L, M, N) &  ( ~ (B=D)  &  ( ~ (B=F)  &  ( ~ (B=H)  &  ( ~ (B=C)  &  ( ~ (B=E)  &  ( ~ (B=G)  &  ( ~ (D=C)  &  ( ~ (F=E)  &  ( ~ (H=G)  &  (! [U] :  (m1_subset_1(U, u2_incsp_1(k3_incproj(A))) =>  ~ (r4_incsp_1(k3_incproj(A), k8_domain_1(u1_incsp_1(k3_incproj(A)), I, J, K), U)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_incproj, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) & l1_collsp(A)) ) ) ) ) )  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  ( (r1_collsp(A, B, C, D) &  (r1_collsp(A, B, C, E) &  (r1_collsp(A, B, F, G) &  (r1_collsp(A, B, F, H) &  (r1_collsp(A, C, G, K) &  (r1_collsp(A, F, D, K) &  (r1_collsp(A, C, H, J) &  (r1_collsp(A, E, F, J) &  (r1_collsp(A, D, H, I) & r1_collsp(A, E, G, I)) ) ) ) ) ) ) ) )  =>  (B=D |  (B=E |  (D=E |  (C=D |  (C=E |  (B=G |  (B=H |  (G=H |  (F=G |  (F=H |  (r1_collsp(A, B, C, F) | r1_collsp(A, I, J, K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(k3_incproj(A))) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(k3_incproj(A))) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(k3_incproj(A))) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(k3_incproj(A))) =>  (! [F] :  (m1_subset_1(F, u1_incsp_1(k3_incproj(A))) =>  (! [G] :  (m1_subset_1(G, u1_incsp_1(k3_incproj(A))) =>  (! [H] :  (m1_subset_1(H, u1_incsp_1(k3_incproj(A))) =>  (! [I] :  (m1_subset_1(I, u1_incsp_1(k3_incproj(A))) =>  (! [J] :  (m1_subset_1(J, u1_incsp_1(k3_incproj(A))) =>  (! [K] :  (m1_subset_1(K, u1_incsp_1(k3_incproj(A))) =>  (! [L] :  (m1_subset_1(L, u2_incsp_1(k3_incproj(A))) =>  (! [M] :  (m1_subset_1(M, u2_incsp_1(k3_incproj(A))) =>  (! [N] :  (m1_subset_1(N, u2_incsp_1(k3_incproj(A))) =>  (! [O] :  (m1_subset_1(O, u2_incsp_1(k3_incproj(A))) =>  (! [P] :  (m1_subset_1(P, u2_incsp_1(k3_incproj(A))) =>  (! [Q] :  (m1_subset_1(Q, u2_incsp_1(k3_incproj(A))) =>  (! [R] :  (m1_subset_1(R, u2_incsp_1(k3_incproj(A))) =>  (! [S] :  (m1_subset_1(S, u2_incsp_1(k3_incproj(A))) =>  (! [T] :  (m1_subset_1(T, u2_incsp_1(k3_incproj(A))) =>  ( (r2_zfmisc_1(B, C, D, E) &  (r2_zfmisc_1(B, F, G, H) &  (r1_incsp_1(k3_incproj(A), B, N) &  (r1_incsp_1(k3_incproj(A), B, Q) &  (r4_incsp_1(k3_incproj(A), k8_domain_1(u1_incsp_1(k3_incproj(A)), D, H, I), L) &  (r4_incsp_1(k3_incproj(A), k8_domain_1(u1_incsp_1(k3_incproj(A)), E, F, J), O) &  (r4_incsp_1(k3_incproj(A), k8_domain_1(u1_incsp_1(k3_incproj(A)), C, G, K), R) &  (r4_incsp_1(k3_incproj(A), k8_domain_1(u1_incsp_1(k3_incproj(A)), C, H, J), M) &  (r4_incsp_1(k3_incproj(A), k8_domain_1(u1_incsp_1(k3_incproj(A)), E, G, I), P) &  (r4_incsp_1(k3_incproj(A), k8_domain_1(u1_incsp_1(k3_incproj(A)), D, F, K), S) &  (r4_incsp_1(k3_incproj(A), k8_domain_1(u1_incsp_1(k3_incproj(A)), F, G, H), N) &  (r4_incsp_1(k3_incproj(A), k8_domain_1(u1_incsp_1(k3_incproj(A)), C, D, E), Q) & r4_incsp_1(k3_incproj(A), k7_domain_1(u1_incsp_1(k3_incproj(A)), I, J), T)) ) ) ) ) ) ) ) ) ) ) )  =>  (N=Q | r1_incsp_1(k3_incproj(A), K, T)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_incproj, axiom,  (! [A] :  (l1_incsp_1(A) =>  (v1_incproj(A) <=>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(A)) =>  ~ ( (r1_incsp_1(A, B, D) &  (r1_incsp_1(A, C, D) &  (r1_incsp_1(A, B, E) &  (r1_incsp_1(A, C, E) &  ( ~ (B=C)  &  ~ (D=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_incproj, axiom,  (! [A] :  (l1_incsp_1(A) =>  (v6_incsp_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (? [D] :  (m1_subset_1(D, u2_incsp_1(A)) &  (r1_incsp_1(A, B, D) & r1_incsp_1(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(d6_incproj, axiom,  (! [A] :  (l1_incsp_1(A) =>  (v2_incproj(A) <=>  ~ ( (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) => r1_incsp_1(A, B, C)) ) ) ) ) ) ) ) ).
fof(d7_incproj, axiom,  (! [A] :  (l1_incsp_1(A) =>  (v3_incproj(A) <=>  (! [B] :  (m1_subset_1(B, u2_incsp_1(A)) =>  (? [C] :  (m1_subset_1(C, u1_incsp_1(A)) &  (? [D] :  (m1_subset_1(D, u1_incsp_1(A)) &  (? [E] :  (m1_subset_1(E, u1_incsp_1(A)) &  ( ~ (C=D)  &  ( ~ (D=E)  &  ( ~ (E=C)  &  (r1_incsp_1(A, C, B) &  (r1_incsp_1(A, D, B) & r1_incsp_1(A, E, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_incproj, axiom,  (! [A] :  (l1_incsp_1(A) =>  (v4_incproj(A) <=>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) =>  (! [F] :  (m1_subset_1(F, u1_incsp_1(A)) =>  (! [G] :  (m1_subset_1(G, u1_incsp_1(A)) =>  (! [H] :  (m1_subset_1(H, u2_incsp_1(A)) =>  (! [I] :  (m1_subset_1(I, u2_incsp_1(A)) =>  (! [J] :  (m1_subset_1(J, u2_incsp_1(A)) =>  (! [K] :  (m1_subset_1(K, u2_incsp_1(A)) =>  ~ ( (r1_incsp_1(A, B, H) &  (r1_incsp_1(A, C, H) &  (r1_incsp_1(A, D, I) &  (r1_incsp_1(A, E, I) &  (r1_incsp_1(A, F, H) &  (r1_incsp_1(A, F, I) &  (r1_incsp_1(A, B, J) &  (r1_incsp_1(A, D, J) &  (r1_incsp_1(A, C, K) &  (r1_incsp_1(A, E, K) &  ( ~ (r1_incsp_1(A, F, J))  &  ( ~ (r1_incsp_1(A, F, K))  &  ( ~ (H=I)  &  (! [L] :  (m1_subset_1(L, u1_incsp_1(A)) =>  ~ ( (r1_incsp_1(A, L, J) & r1_incsp_1(A, L, K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_incproj, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) & l1_incsp_1(A)) ) ) ) )  =>  (v5_incproj(A) <=>  (! [B] :  (m1_subset_1(B, u2_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  (? [D] :  (m1_subset_1(D, u1_incsp_1(A)) &  (r1_incsp_1(A, D, B) & r1_incsp_1(A, D, C)) ) ) ) ) ) ) ) ) ) ).
fof(d10_incproj, axiom,  (! [A] :  (l1_incsp_1(A) =>  (v6_incproj(A) <=>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  (? [E] :  (m1_subset_1(E, u1_incsp_1(A)) &  (? [F] :  (m1_subset_1(F, u1_incsp_1(A)) &  (? [G] :  (m1_subset_1(G, u2_incsp_1(A)) &  (r1_incsp_1(A, B, G) &  (r1_incsp_1(A, E, G) &  (r1_incsp_1(A, F, G) &  (r1_incsp_1(A, E, C) & r1_incsp_1(A, F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_incproj, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) & l1_incsp_1(A)) ) ) ) )  =>  (v7_incproj(A) <=>  (v6_incproj(A) &  ~ (v5_incproj(A)) ) ) ) ) ).
fof(d12_incproj, axiom,  (! [A] :  (l1_incsp_1(A) =>  (v8_incproj(A) <=>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) =>  (! [F] :  (m1_subset_1(F, u1_incsp_1(A)) =>  (! [G] :  (m1_subset_1(G, u1_incsp_1(A)) =>  (! [H] :  (m1_subset_1(H, u1_incsp_1(A)) =>  (! [I] :  (m1_subset_1(I, u2_incsp_1(A)) =>  (! [J] :  (m1_subset_1(J, u2_incsp_1(A)) =>  (! [K] :  (m1_subset_1(K, u2_incsp_1(A)) =>  (! [L] :  (m1_subset_1(L, u2_incsp_1(A)) =>  (! [M] :  (m1_subset_1(M, u2_incsp_1(A)) =>  (! [N] :  (m1_subset_1(N, u2_incsp_1(A)) =>  (! [O] :  (m1_subset_1(O, u2_incsp_1(A)) =>  ~ ( ( ~ (r1_incsp_1(A, C, I))  &  ( ~ (r1_incsp_1(A, D, I))  &  ( ~ (r1_incsp_1(A, B, J))  &  ( ~ (r1_incsp_1(A, E, J))  &  ( ~ (r1_incsp_1(A, B, K))  &  ( ~ (r1_incsp_1(A, D, K))  &  ( ~ (r1_incsp_1(A, C, L))  &  ( ~ (r1_incsp_1(A, E, L))  &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), F, B, E), I) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), F, C, D), J) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), G, C, E), K) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), G, B, D), L) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), H, B, C), M) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), H, D, E), N) &  (r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), F, G), O) & r1_incsp_1(A, H, O)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_incproj, axiom,  (! [A] :  (l1_incsp_1(A) =>  (v9_incproj(A) <=>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) =>  (! [F] :  (m1_subset_1(F, u1_incsp_1(A)) =>  (! [G] :  (m1_subset_1(G, u1_incsp_1(A)) =>  (! [H] :  (m1_subset_1(H, u1_incsp_1(A)) =>  (! [I] :  (m1_subset_1(I, u1_incsp_1(A)) =>  (! [J] :  (m1_subset_1(J, u1_incsp_1(A)) =>  (! [K] :  (m1_subset_1(K, u1_incsp_1(A)) =>  (! [L] :  (m1_subset_1(L, u2_incsp_1(A)) =>  (! [M] :  (m1_subset_1(M, u2_incsp_1(A)) =>  (! [N] :  (m1_subset_1(N, u2_incsp_1(A)) =>  (! [O] :  (m1_subset_1(O, u2_incsp_1(A)) =>  (! [P] :  (m1_subset_1(P, u2_incsp_1(A)) =>  (! [Q] :  (m1_subset_1(Q, u2_incsp_1(A)) =>  (! [R] :  (m1_subset_1(R, u2_incsp_1(A)) =>  (! [S] :  (m1_subset_1(S, u2_incsp_1(A)) =>  (! [T] :  (m1_subset_1(T, u2_incsp_1(A)) =>  ~ ( (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), B, C, D), L) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), B, F, E), M) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), B, H, G), N) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), H, F, K), O) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), H, I, D), P) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), F, J, D), Q) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), K, E, G), R) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), C, I, G), S) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), C, J, E), T) &  (r1_zfmisc_1(L, M, N) &  ( ~ (B=D)  &  ( ~ (B=F)  &  ( ~ (B=H)  &  ( ~ (B=C)  &  ( ~ (B=E)  &  ( ~ (B=G)  &  ( ~ (D=C)  &  ( ~ (F=E)  &  ( ~ (H=G)  &  (! [U] :  (m1_subset_1(U, u2_incsp_1(A)) =>  ~ (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), I, J, K), U)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_incproj, axiom,  (! [A] :  (l1_incsp_1(A) =>  (v10_incproj(A) <=>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) =>  (! [F] :  (m1_subset_1(F, u1_incsp_1(A)) =>  (! [G] :  (m1_subset_1(G, u1_incsp_1(A)) =>  (! [H] :  (m1_subset_1(H, u1_incsp_1(A)) =>  (! [I] :  (m1_subset_1(I, u1_incsp_1(A)) =>  (! [J] :  (m1_subset_1(J, u1_incsp_1(A)) =>  (! [K] :  (m1_subset_1(K, u1_incsp_1(A)) =>  (! [L] :  (m1_subset_1(L, u2_incsp_1(A)) =>  (! [M] :  (m1_subset_1(M, u2_incsp_1(A)) =>  (! [N] :  (m1_subset_1(N, u2_incsp_1(A)) =>  (! [O] :  (m1_subset_1(O, u2_incsp_1(A)) =>  (! [P] :  (m1_subset_1(P, u2_incsp_1(A)) =>  (! [Q] :  (m1_subset_1(Q, u2_incsp_1(A)) =>  (! [R] :  (m1_subset_1(R, u2_incsp_1(A)) =>  (! [S] :  (m1_subset_1(S, u2_incsp_1(A)) =>  (! [T] :  (m1_subset_1(T, u2_incsp_1(A)) =>  ( (r2_zfmisc_1(B, C, D, E) &  (r2_zfmisc_1(B, F, G, H) &  (r1_incsp_1(A, B, N) &  (r1_incsp_1(A, B, Q) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), D, H, I), L) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), E, F, J), O) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), C, G, K), R) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), C, H, J), M) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), E, G, I), P) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), D, F, K), S) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), F, G, H), N) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), C, D, E), Q) & r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), I, J), T)) ) ) ) ) ) ) ) ) ) ) )  =>  (N=Q | r1_incsp_1(A, K, T)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_m1_incproj, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) & l1_collsp(A)) ) ) )  =>  (! [B] :  (m1_incproj(B, A) => m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ).
fof(existence_m1_incproj, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) & l1_collsp(A)) ) ) )  =>  (? [B] : m1_incproj(B, A)) ) ) ).
fof(redefinition_m1_incproj, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) & l1_collsp(A)) ) ) )  =>  (! [B] :  (m1_incproj(B, A) <=> m2_collsp(B, A)) ) ) ) ).
fof(dt_k2_incproj, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) & l1_collsp(A)) ) ) )  => m1_subset_1(k2_incproj(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_incproj(A))))) ) ).
fof(dt_k3_incproj, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) & l1_collsp(A)) ) ) )  => l1_incsp_1(k3_incproj(A))) ) ).
fof(d1_incproj, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) & l1_collsp(A)) ) ) )  => k1_incproj(A)=a_1_0_incproj(A)) ) ).
fof(fraenkel_a_1_0_incproj, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v2_collsp(B) &  (v3_collsp(B) &  (v4_collsp(B) & l1_collsp(B)) ) ) )  =>  (r2_hidden(A, a_1_0_incproj(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) &  (A=C & m1_incproj(C, B)) ) ) ) ) ) ).
fof(rc1_incsp_1, axiom,  (? [A] :  (l1_incsp_1(A) & v1_incsp_1(A)) ) ).
fof(rc2_incsp_1, axiom,  (? [A] :  (l2_incsp_1(A) & v2_incsp_1(A)) ) ).
fof(cc1_incsp_1, axiom,  (! [A] :  (l2_incsp_1(A) =>  (v15_incsp_1(A) =>  (v5_incsp_1(A) &  (v6_incsp_1(A) &  (v7_incsp_1(A) &  (v8_incsp_1(A) &  (v9_incsp_1(A) &  (v10_incsp_1(A) &  (v11_incsp_1(A) &  (v12_incsp_1(A) &  (v13_incsp_1(A) & v14_incsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_incsp_1, axiom,  (? [A] :  (l2_incsp_1(A) &  (v2_incsp_1(A) & v15_incsp_1(A)) ) ) ).
fof(d1_incsp_1, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  (r1_incsp_1(A, B, C) <=> r2_tarski(k1_domain_1(u1_incsp_1(A), u2_incsp_1(A), B, C), u3_incsp_1(A))) ) ) ) ) ) ) ).
fof(d2_incsp_1, axiom,  (! [A] :  (l2_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u4_incsp_1(A)) =>  (r2_incsp_1(A, B, C) <=> r2_tarski(k1_domain_1(u1_incsp_1(A), u4_incsp_1(A), B, C), u5_incsp_1(A))) ) ) ) ) ) ) ).
fof(d3_incsp_1, axiom,  (! [A] :  (l2_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u4_incsp_1(A)) =>  (r3_incsp_1(A, B, C) <=> r2_tarski(k1_domain_1(u2_incsp_1(A), u4_incsp_1(A), B, C), u6_incsp_1(A))) ) ) ) ) ) ) ).
fof(d4_incsp_1, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_incsp_1(A))) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  (r4_incsp_1(A, B, C) <=>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (r2_tarski(D, B) => r1_incsp_1(A, D, C)) ) ) ) ) ) ) ) ) ) ).
fof(d5_incsp_1, axiom,  (! [A] :  (l2_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_incsp_1(A))) =>  (! [C] :  (m1_subset_1(C, u4_incsp_1(A)) =>  (r5_incsp_1(A, B, C) <=>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (r2_tarski(D, B) => r2_incsp_1(A, D, C)) ) ) ) ) ) ) ) ) ) ).
fof(d6_incsp_1, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_incsp_1(A))) =>  (v3_incsp_1(B, A) <=>  (? [C] :  (m1_subset_1(C, u2_incsp_1(A)) & r4_incsp_1(A, B, C)) ) ) ) ) ) ) ).
fof(d7_incsp_1, axiom,  (! [A] :  (l2_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_incsp_1(A))) =>  (v4_incsp_1(B, A) <=>  (? [C] :  (m1_subset_1(C, u4_incsp_1(A)) & r5_incsp_1(A, B, C)) ) ) ) ) ) ) ).
fof(t1_incsp_1, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), C, D), B) <=>  (r1_incsp_1(A, C, B) & r1_incsp_1(A, D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t2_incsp_1, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) =>  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), C, D, E), B) <=>  (r1_incsp_1(A, C, B) &  (r1_incsp_1(A, D, B) & r1_incsp_1(A, E, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_incsp_1, axiom,  (! [A] :  (l2_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u4_incsp_1(A)) =>  (r5_incsp_1(A, k7_domain_1(u1_incsp_1(A), B, C), D) <=>  (r2_incsp_1(A, B, D) & r2_incsp_1(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t4_incsp_1, axiom,  (! [A] :  (l2_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u4_incsp_1(A)) =>  (r5_incsp_1(A, k8_domain_1(u1_incsp_1(A), B, C, D), E) <=>  (r2_incsp_1(A, B, E) &  (r2_incsp_1(A, C, E) & r2_incsp_1(A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_incsp_1, axiom,  (! [A] :  (l2_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) =>  (! [F] :  (m1_subset_1(F, u4_incsp_1(A)) =>  (r5_incsp_1(A, k9_domain_1(u1_incsp_1(A), B, C, D, E), F) <=>  (r2_incsp_1(A, B, F) &  (r2_incsp_1(A, C, F) &  (r2_incsp_1(A, D, F) & r2_incsp_1(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_incsp_1, axiom,  (! [A] :  (l2_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_incsp_1(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_incsp_1(A))) =>  ( (r1_tarski(D, C) & r4_incsp_1(A, C, B))  => r4_incsp_1(A, D, B)) ) ) ) ) ) ) ) ) ).
fof(t7_incsp_1, axiom,  (! [A] :  (l2_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, u4_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_incsp_1(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_incsp_1(A))) =>  ( (r1_tarski(D, C) & r5_incsp_1(A, C, B))  => r5_incsp_1(A, D, B)) ) ) ) ) ) ) ) ) ).
fof(t8_incsp_1, axiom,  (! [A] :  (l2_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_incsp_1(A))) =>  ( (r4_incsp_1(A, D, C) & r1_incsp_1(A, B, C))  <=> r4_incsp_1(A, k4_subset_1(u1_incsp_1(A), D, k6_domain_1(u1_incsp_1(A), B)), C)) ) ) ) ) ) ) ) ) ).
fof(t9_incsp_1, axiom,  (! [A] :  (l2_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u4_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_incsp_1(A))) =>  ( (r5_incsp_1(A, D, C) & r2_incsp_1(A, B, C))  <=> r5_incsp_1(A, k4_subset_1(u1_incsp_1(A), D, k6_domain_1(u1_incsp_1(A), B)), C)) ) ) ) ) ) ) ) ) ).
fof(t10_incsp_1, axiom,  (! [A] :  (l2_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_incsp_1(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_incsp_1(A))) =>  (r4_incsp_1(A, k4_subset_1(u1_incsp_1(A), C, D), B) <=>  (r4_incsp_1(A, C, B) & r4_incsp_1(A, D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t11_incsp_1, axiom,  (! [A] :  (l2_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, u4_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_incsp_1(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_incsp_1(A))) =>  (r5_incsp_1(A, k4_subset_1(u1_incsp_1(A), C, D), B) <=>  (r5_incsp_1(A, C, B) & r5_incsp_1(A, D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t12_incsp_1, axiom,  (! [A] :  (l2_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_incsp_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_incsp_1(A))) =>  ( (r1_tarski(C, B) & v3_incsp_1(B, A))  => v3_incsp_1(C, A)) ) ) ) ) ) ) ).
fof(t13_incsp_1, axiom,  (! [A] :  (l2_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_incsp_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_incsp_1(A))) =>  ( (r1_tarski(C, B) & v4_incsp_1(B, A))  => v4_incsp_1(C, A)) ) ) ) ) ) ) ).
fof(d8_incsp_1, axiom,  (! [A] :  (l1_incsp_1(A) =>  (v5_incsp_1(A) <=>  (! [B] :  (m1_subset_1(B, u2_incsp_1(A)) =>  (? [C] :  (m1_subset_1(C, u1_incsp_1(A)) &  (? [D] :  (m1_subset_1(D, u1_incsp_1(A)) &  ( ~ (C=D)  & r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), C, D), B)) ) ) ) ) ) ) ) ) ) ).
fof(d9_incsp_1, axiom,  (! [A] :  (l1_incsp_1(A) =>  (v6_incsp_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (? [D] :  (m1_subset_1(D, u2_incsp_1(A)) & r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), B, C), D)) ) ) ) ) ) ) ) ) ).
fof(d10_incsp_1, axiom,  (! [A] :  (l1_incsp_1(A) =>  (v7_incsp_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(A)) =>  ( (r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), B, C), D) & r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), B, C), E))  =>  (B=C | D=E) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_incsp_1, axiom,  (! [A] :  (l2_incsp_1(A) =>  (v8_incsp_1(A) <=>  (! [B] :  (m1_subset_1(B, u4_incsp_1(A)) =>  (? [C] :  (m1_subset_1(C, u1_incsp_1(A)) & r2_incsp_1(A, C, B)) ) ) ) ) ) ) ).
fof(d12_incsp_1, axiom,  (! [A] :  (l2_incsp_1(A) =>  (v9_incsp_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (? [E] :  (m1_subset_1(E, u4_incsp_1(A)) & r5_incsp_1(A, k8_domain_1(u1_incsp_1(A), B, C, D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_incsp_1, axiom,  (! [A] :  (l2_incsp_1(A) =>  (v10_incsp_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u4_incsp_1(A)) =>  (! [F] :  (m1_subset_1(F, u4_incsp_1(A)) =>  ( (r5_incsp_1(A, k8_domain_1(u1_incsp_1(A), B, C, D), E) & r5_incsp_1(A, k8_domain_1(u1_incsp_1(A), B, C, D), F))  =>  (v3_incsp_1(k8_domain_1(u1_incsp_1(A), B, C, D), A) | E=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_incsp_1, axiom,  (! [A] :  (l2_incsp_1(A) =>  (v11_incsp_1(A) <=>  (! [B] :  (m1_subset_1(B, u2_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u4_incsp_1(A)) =>  ( (? [D] :  (m1_subset_1(D, u1_incsp_1(A)) &  (? [E] :  (m1_subset_1(E, u1_incsp_1(A)) &  ( ~ (D=E)  &  (r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), D, E), B) & r5_incsp_1(A, k7_domain_1(u1_incsp_1(A), D, E), C)) ) ) ) ) )  => r3_incsp_1(A, B, C)) ) ) ) ) ) ) ) ).
fof(d15_incsp_1, axiom,  (! [A] :  (l2_incsp_1(A) =>  (v12_incsp_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u4_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u4_incsp_1(A)) =>  ~ ( (r2_incsp_1(A, B, C) &  (r2_incsp_1(A, B, D) &  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) =>  ~ ( ( ~ (B=E)  &  (r2_incsp_1(A, E, C) & r2_incsp_1(A, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_incsp_1, axiom,  (! [A] :  (l2_incsp_1(A) =>  (v13_incsp_1(A) <=>  ~ ( (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) => v4_incsp_1(k9_domain_1(u1_incsp_1(A), B, C, D, E), A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_incsp_1, axiom,  (! [A] :  (l2_incsp_1(A) =>  (v14_incsp_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u4_incsp_1(A)) =>  ( (r1_incsp_1(A, B, C) & r3_incsp_1(A, C, D))  => r2_incsp_1(A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(d18_incsp_1, axiom,  (! [A] :  (l2_incsp_1(A) =>  (v15_incsp_1(A) <=>  (v5_incsp_1(A) &  (v6_incsp_1(A) &  (v7_incsp_1(A) &  (v8_incsp_1(A) &  (v9_incsp_1(A) &  (v10_incsp_1(A) &  (v11_incsp_1(A) &  (v12_incsp_1(A) &  (v13_incsp_1(A) & v14_incsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u4_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_incsp_1(A))) =>  ( (r4_incsp_1(A, D, B) & r3_incsp_1(A, B, C))  => r5_incsp_1(A, D, C)) ) ) ) ) ) ) ) ) ).
fof(t15_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) => v3_incsp_1(k8_domain_1(u1_incsp_1(A), B, B, C), A)) ) ) ) ) ) ).
fof(t16_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) => v4_incsp_1(k9_domain_1(u1_incsp_1(A), B, B, C, D), A)) ) ) ) ) ) ) ) ).
fof(t17_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) =>  (v3_incsp_1(k8_domain_1(u1_incsp_1(A), B, C, D), A) => v4_incsp_1(k9_domain_1(u1_incsp_1(A), B, C, D, E), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(A)) =>  ~ ( ( ~ (B=C)  &  (r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), B, C), E) &  ( ~ (r1_incsp_1(A, D, E))  & v3_incsp_1(k8_domain_1(u1_incsp_1(A), B, C, D), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) =>  (! [F] :  (m1_subset_1(F, u4_incsp_1(A)) =>  ~ ( ( ~ (v3_incsp_1(k8_domain_1(u1_incsp_1(A), B, C, D), A))  &  (r5_incsp_1(A, k8_domain_1(u1_incsp_1(A), B, C, D), F) &  ( ~ (r2_incsp_1(A, E, F))  & v4_incsp_1(k9_domain_1(u1_incsp_1(A), B, C, D, E), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  ~ ( ( (! [D] :  (m1_subset_1(D, u4_incsp_1(A)) =>  ~ ( (r3_incsp_1(A, B, D) & r3_incsp_1(A, C, D)) ) ) )  & B=C) ) ) ) ) ) ) ) ).
fof(t21_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  ~ ( ( (! [E] :  (m1_subset_1(E, u4_incsp_1(A)) =>  ~ ( (r3_incsp_1(A, B, E) &  (r3_incsp_1(A, C, E) & r3_incsp_1(A, D, E)) ) ) ) )  &  ( (? [E] :  (m1_subset_1(E, u1_incsp_1(A)) &  (r1_incsp_1(A, E, B) &  (r1_incsp_1(A, E, C) & r1_incsp_1(A, E, D)) ) ) )  & B=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u4_incsp_1(A)) =>  ( (r3_incsp_1(A, C, E) & r3_incsp_1(A, D, E))  =>  (r3_incsp_1(A, B, E) |  (C=D |  (! [F] :  (m1_subset_1(F, u4_incsp_1(A)) =>  ~ ( (r3_incsp_1(A, B, F) &  (r3_incsp_1(A, C, F) & r3_incsp_1(A, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  ~ ( ( (? [D] :  (m1_subset_1(D, u1_incsp_1(A)) &  (r1_incsp_1(A, D, B) & r1_incsp_1(A, D, C)) ) )  &  (! [D] :  (m1_subset_1(D, u4_incsp_1(A)) =>  ~ ( (r3_incsp_1(A, B, D) & r3_incsp_1(A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  ~ ( ( ~ (B=C)  &  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  ~ ( (! [E] :  (m1_subset_1(E, u2_incsp_1(A)) =>  (r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), B, C), E) <=> E=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  ~ ( ( ~ (v3_incsp_1(k8_domain_1(u1_incsp_1(A), B, C, D), A))  &  (! [E] :  (m1_subset_1(E, u4_incsp_1(A)) =>  ~ ( (! [F] :  (m1_subset_1(F, u4_incsp_1(A)) =>  (r5_incsp_1(A, k8_domain_1(u1_incsp_1(A), B, C, D), F) <=> E=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  ~ ( ( ~ (r1_incsp_1(A, B, C))  &  (! [D] :  (m1_subset_1(D, u4_incsp_1(A)) =>  ~ ( (! [E] :  (m1_subset_1(E, u4_incsp_1(A)) =>  ( (r2_incsp_1(A, B, E) & r3_incsp_1(A, C, E))  <=> D=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  ~ ( ( ~ (B=C)  &  ( (? [D] :  (m1_subset_1(D, u1_incsp_1(A)) &  (r1_incsp_1(A, D, B) & r1_incsp_1(A, D, C)) ) )  &  (! [D] :  (m1_subset_1(D, u4_incsp_1(A)) =>  ~ ( (! [E] :  (m1_subset_1(E, u4_incsp_1(A)) =>  ( (r3_incsp_1(A, B, E) & r3_incsp_1(A, C, E))  <=> D=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  ( ~ (B=C)  =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  (D=k1_incsp_1(A, B, C) <=> r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), B, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(d20_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  ( ~ (v3_incsp_1(k8_domain_1(u1_incsp_1(A), B, C, D), A))  =>  (! [E] :  (m1_subset_1(E, u4_incsp_1(A)) =>  (E=k2_incsp_1(A, B, C, D) <=> r5_incsp_1(A, k8_domain_1(u1_incsp_1(A), B, C, D), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d21_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  ( ~ (r1_incsp_1(A, B, C))  =>  (! [D] :  (m1_subset_1(D, u4_incsp_1(A)) =>  (D=k3_incsp_1(A, B, C) <=>  (r2_incsp_1(A, B, D) & r3_incsp_1(A, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d22_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  ~ ( ( ~ (B=C)  &  ( (? [D] :  (m1_subset_1(D, u1_incsp_1(A)) &  (r1_incsp_1(A, D, B) & r1_incsp_1(A, D, C)) ) )  &  ~ ( (! [D] :  (m1_subset_1(D, u4_incsp_1(A)) =>  (D=k4_incsp_1(A, B, C) <=>  (r3_incsp_1(A, B, D) & r3_incsp_1(A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  ( ~ (B=C)  => k1_incsp_1(A, B, C)=k1_incsp_1(A, C, B)) ) ) ) ) ) ) ).
fof(t29_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  ( ~ (v3_incsp_1(k8_domain_1(u1_incsp_1(A), B, C, D), A))  => k2_incsp_1(A, B, C, D)=k2_incsp_1(A, B, D, C)) ) ) ) ) ) ) ) ) ).
fof(t30_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  ( ~ (v3_incsp_1(k8_domain_1(u1_incsp_1(A), B, C, D), A))  => k2_incsp_1(A, B, C, D)=k2_incsp_1(A, C, B, D)) ) ) ) ) ) ) ) ) ).
fof(t31_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  ( ~ (v3_incsp_1(k8_domain_1(u1_incsp_1(A), B, C, D), A))  => k2_incsp_1(A, B, C, D)=k2_incsp_1(A, C, D, B)) ) ) ) ) ) ) ) ) ).
fof(t32_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  ( ~ (v3_incsp_1(k8_domain_1(u1_incsp_1(A), B, C, D), A))  => k2_incsp_1(A, B, C, D)=k2_incsp_1(A, D, B, C)) ) ) ) ) ) ) ) ) ).
fof(t33_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  ( ~ (v3_incsp_1(k8_domain_1(u1_incsp_1(A), B, C, D), A))  => k2_incsp_1(A, B, C, D)=k2_incsp_1(A, D, C, B)) ) ) ) ) ) ) ) ) ).
fof(t34_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  ~ ( ( ~ (B=C)  &  ( (? [D] :  (m1_subset_1(D, u1_incsp_1(A)) &  (r1_incsp_1(A, D, B) & r1_incsp_1(A, D, C)) ) )  &  ~ (k4_incsp_1(A, B, C)=k4_incsp_1(A, C, B)) ) ) ) ) ) ) ) ) ) ).
fof(t35_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (r1_incsp_1(A, D, k1_incsp_1(A, B, C)) =>  (B=C | v3_incsp_1(k8_domain_1(u1_incsp_1(A), B, C, D), A)) ) ) ) ) ) ) ) ) ) ).
fof(t36_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (v3_incsp_1(k8_domain_1(u1_incsp_1(A), B, C, D), A) =>  (B=C |  (B=D | k1_incsp_1(A, B, C)=k1_incsp_1(A, B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  ( ~ (v3_incsp_1(k8_domain_1(u1_incsp_1(A), B, C, D), A))  => k2_incsp_1(A, B, C, D)=k3_incsp_1(A, D, k1_incsp_1(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t38_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) =>  (r2_incsp_1(A, E, k2_incsp_1(A, B, C, D)) =>  (v3_incsp_1(k8_domain_1(u1_incsp_1(A), B, C, D), A) | v4_incsp_1(k9_domain_1(u1_incsp_1(A), B, C, D, E), A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(A)) =>  (r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), B, C), E) =>  (r1_incsp_1(A, D, E) |  (B=C | k3_incsp_1(A, D, E)=k2_incsp_1(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  ( ~ (v3_incsp_1(k8_domain_1(u1_incsp_1(A), B, C, D), A))  => k2_incsp_1(A, B, C, D)=k4_incsp_1(A, k1_incsp_1(A, B, C), k1_incsp_1(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t41_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u4_incsp_1(A)) =>  (? [C] :  (m1_subset_1(C, u1_incsp_1(A)) &  (? [D] :  (m1_subset_1(D, u1_incsp_1(A)) &  (? [E] :  (m1_subset_1(E, u1_incsp_1(A)) &  (r5_incsp_1(A, k8_domain_1(u1_incsp_1(A), C, D, E), B) &  ~ (v3_incsp_1(k8_domain_1(u1_incsp_1(A), C, D, E), A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u4_incsp_1(A)) =>  (? [C] :  (m1_subset_1(C, u1_incsp_1(A)) &  (? [D] :  (m1_subset_1(D, u1_incsp_1(A)) &  (? [E] :  (m1_subset_1(E, u1_incsp_1(A)) &  (? [F] :  (m1_subset_1(F, u1_incsp_1(A)) &  (r2_incsp_1(A, C, B) &  ~ (v4_incsp_1(k9_domain_1(u1_incsp_1(A), C, D, E, F), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  (? [D] :  (m1_subset_1(D, u1_incsp_1(A)) &  ( ~ (B=D)  & r1_incsp_1(A, D, C)) ) ) ) ) ) ) ) ) ).
fof(t44_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u4_incsp_1(A)) =>  ~ ( ( ~ (B=C)  &  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) =>  ~ ( (r2_incsp_1(A, E, D) &  ~ (v3_incsp_1(k8_domain_1(u1_incsp_1(A), B, C, E), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  ~ ( ( ~ (v3_incsp_1(k8_domain_1(u1_incsp_1(A), B, C, D), A))  &  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) => v4_incsp_1(k9_domain_1(u1_incsp_1(A), B, C, D, E), A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u4_incsp_1(A)) =>  (? [D] :  (m1_subset_1(D, u1_incsp_1(A)) &  (? [E] :  (m1_subset_1(E, u1_incsp_1(A)) &  (r5_incsp_1(A, k7_domain_1(u1_incsp_1(A), D, E), C) &  ~ (v3_incsp_1(k8_domain_1(u1_incsp_1(A), B, D, E), A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  ~ ( ( ~ (B=C)  &  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) => v4_incsp_1(k9_domain_1(u1_incsp_1(A), B, C, D, E), A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  ~ ( (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) => v4_incsp_1(k9_domain_1(u1_incsp_1(A), B, C, D, E), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u4_incsp_1(A)) =>  (? [D] :  (m1_subset_1(D, u2_incsp_1(A)) &  ( ~ (r1_incsp_1(A, B, D))  & r3_incsp_1(A, D, C)) ) ) ) ) ) ) ) ) ).
fof(t50_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u4_incsp_1(A)) =>  ~ ( (r2_incsp_1(A, B, C) &  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(A)) =>  (! [F] :  (m1_subset_1(F, u2_incsp_1(A)) =>  ~ ( ( ~ (E=F)  &  (r3_incsp_1(A, E, C) &  (r3_incsp_1(A, F, C) &  ( ~ (r3_incsp_1(A, D, C))  &  (r1_incsp_1(A, B, D) &  (r1_incsp_1(A, B, E) & r1_incsp_1(A, B, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (? [C] :  (m1_subset_1(C, u2_incsp_1(A)) &  (? [D] :  (m1_subset_1(D, u2_incsp_1(A)) &  (? [E] :  (m1_subset_1(E, u2_incsp_1(A)) &  (r1_incsp_1(A, B, C) &  (r1_incsp_1(A, B, D) &  (r1_incsp_1(A, B, E) &  (! [F] :  (m1_subset_1(F, u4_incsp_1(A)) =>  ~ ( (r3_incsp_1(A, C, F) &  (r3_incsp_1(A, D, F) & r3_incsp_1(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  (? [D] :  (m1_subset_1(D, u4_incsp_1(A)) &  (r2_incsp_1(A, B, D) &  ~ (r3_incsp_1(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t53_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u4_incsp_1(A)) =>  (? [D] :  (m1_subset_1(D, u1_incsp_1(A)) &  (r2_incsp_1(A, D, C) &  ~ (r1_incsp_1(A, D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t54_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(A)) =>  (? [C] :  (m1_subset_1(C, u2_incsp_1(A)) &  (! [D] :  (m1_subset_1(D, u4_incsp_1(A)) =>  ~ ( (r3_incsp_1(A, B, D) & r3_incsp_1(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t55_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(A)) =>  (? [C] :  (m1_subset_1(C, u4_incsp_1(A)) &  (? [D] :  (m1_subset_1(D, u4_incsp_1(A)) &  ( ~ (C=D)  &  (r3_incsp_1(A, B, C) & r3_incsp_1(A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t56_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u4_incsp_1(A)) =>  ( (r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), B, C), D) & r5_incsp_1(A, k7_domain_1(u1_incsp_1(A), B, C), E))  =>  (r3_incsp_1(A, D, E) | B=C) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_incsp_1, axiom,  (! [A] :  ( (v15_incsp_1(A) & l2_incsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u4_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u4_incsp_1(A)) =>  ~ ( ( ~ (B=C)  &  ( (? [D] :  (m1_subset_1(D, u1_incsp_1(A)) &  (r2_incsp_1(A, D, B) & r2_incsp_1(A, D, C)) ) )  &  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  ~ ( (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) =>  ( (r2_incsp_1(A, E, B) & r2_incsp_1(A, E, C))  <=> r1_incsp_1(A, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(abstractness_v1_incsp_1, axiom,  (! [A] :  (l1_incsp_1(A) =>  (v1_incsp_1(A) => A=g1_incsp_1(u1_incsp_1(A), u2_incsp_1(A), u3_incsp_1(A))) ) ) ).
fof(existence_l1_incsp_1, axiom,  (? [A] : l1_incsp_1(A)) ).
fof(dt_g1_incsp_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v1_incsp_1(g1_incsp_1(A, B, C)) & l1_incsp_1(g1_incsp_1(A, B, C))) ) ) ).
fof(free_g1_incsp_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D, E, F] :  (g1_incsp_1(A, B, C)=g1_incsp_1(D, E, F) =>  (A=D &  (B=E & C=F) ) ) ) ) ) ).
fof(dt_u1_incsp_1, axiom,  (! [A] :  (l1_incsp_1(A) =>  ~ (v1_xboole_0(u1_incsp_1(A))) ) ) ).
fof(dt_u2_incsp_1, axiom,  (! [A] :  (l1_incsp_1(A) =>  ~ (v1_xboole_0(u2_incsp_1(A))) ) ) ).
fof(dt_u3_incsp_1, axiom,  (! [A] :  (l1_incsp_1(A) => m1_subset_1(u3_incsp_1(A), k1_zfmisc_1(k2_zfmisc_1(u1_incsp_1(A), u2_incsp_1(A))))) ) ).
fof(abstractness_v2_incsp_1, axiom,  (! [A] :  (l2_incsp_1(A) =>  (v2_incsp_1(A) => A=g2_incsp_1(u1_incsp_1(A), u2_incsp_1(A), u4_incsp_1(A), u3_incsp_1(A), u5_incsp_1(A), u6_incsp_1(A))) ) ) ).
fof(dt_l2_incsp_1, axiom,  (! [A] :  (l2_incsp_1(A) => l1_incsp_1(A)) ) ).
fof(existence_l2_incsp_1, axiom,  (? [A] : l2_incsp_1(A)) ).
fof(dt_g2_incsp_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, C))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, C)))) ) ) ) )  =>  (v2_incsp_1(g2_incsp_1(A, B, C, D, E, F)) & l2_incsp_1(g2_incsp_1(A, B, C, D, E, F))) ) ) ).
fof(free_g2_incsp_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, C))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, C)))) ) ) ) )  =>  (! [G, H, I, J, K, L] :  (g2_incsp_1(A, B, C, D, E, F)=g2_incsp_1(G, H, I, J, K, L) =>  (A=G &  (B=H &  (C=I &  (D=J &  (E=K & F=L) ) ) ) ) ) ) ) ) ).
fof(dt_u4_incsp_1, axiom,  (! [A] :  (l2_incsp_1(A) =>  ~ (v1_xboole_0(u4_incsp_1(A))) ) ) ).
fof(dt_u5_incsp_1, axiom,  (! [A] :  (l2_incsp_1(A) => m1_subset_1(u5_incsp_1(A), k1_zfmisc_1(k2_zfmisc_1(u1_incsp_1(A), u4_incsp_1(A))))) ) ).
fof(dt_u6_incsp_1, axiom,  (! [A] :  (l2_incsp_1(A) => m1_subset_1(u6_incsp_1(A), k1_zfmisc_1(k2_zfmisc_1(u2_incsp_1(A), u4_incsp_1(A))))) ) ).
fof(dt_k1_incsp_1, axiom,  (! [A, B, C] :  ( ( (v15_incsp_1(A) & l2_incsp_1(A))  &  (m1_subset_1(B, u1_incsp_1(A)) & m1_subset_1(C, u1_incsp_1(A))) )  => m1_subset_1(k1_incsp_1(A, B, C), u2_incsp_1(A))) ) ).
fof(dt_k2_incsp_1, axiom,  (! [A, B, C, D] :  ( ( (v15_incsp_1(A) & l2_incsp_1(A))  &  (m1_subset_1(B, u1_incsp_1(A)) &  (m1_subset_1(C, u1_incsp_1(A)) & m1_subset_1(D, u1_incsp_1(A))) ) )  => m1_subset_1(k2_incsp_1(A, B, C, D), u4_incsp_1(A))) ) ).
fof(dt_k3_incsp_1, axiom,  (! [A, B, C] :  ( ( (v15_incsp_1(A) & l2_incsp_1(A))  &  (m1_subset_1(B, u1_incsp_1(A)) & m1_subset_1(C, u2_incsp_1(A))) )  => m1_subset_1(k3_incsp_1(A, B, C), u4_incsp_1(A))) ) ).
fof(dt_k4_incsp_1, axiom,  (! [A, B, C] :  ( ( (v15_incsp_1(A) & l2_incsp_1(A))  &  (m1_subset_1(B, u2_incsp_1(A)) & m1_subset_1(C, u2_incsp_1(A))) )  => m1_subset_1(k4_incsp_1(A, B, C), u4_incsp_1(A))) ) ).
fof(rc1_index_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) ) ) ) ) ) ).
fof(rc2_index_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v1_index_1(A)) ) ) ).
fof(rc3_index_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_index_1(B)) ) ) ) ) ) ).
fof(fc1_index_1, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  => v1_index_1(k2_funcop_1(A, B))) ) ).
fof(cc1_index_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) ) ) ) ) ) ).
fof(fc2_index_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_index_1(A)) )  => v2_cat_5(k10_xtuple_0(A))) ) ).
fof(fc3_index_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_index_1(B)) ) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v1_index_1(k3_relat_1(A, B))) ) ) ).
fof(fc4_index_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_index_1(B)) ) ) ) )  =>  (v1_relat_1(k3_index_1(B)) &  (v2_relat_1(k3_index_1(B)) &  (v4_relat_1(k3_index_1(B), A) & v1_funct_1(k3_index_1(B))) ) ) ) ) ).
fof(fc5_index_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_index_1(B)) ) ) ) )  =>  (v1_relat_1(k4_index_1(B)) &  (v2_relat_1(k4_index_1(B)) &  (v4_relat_1(k4_index_1(B), A) & v1_funct_1(k4_index_1(B))) ) ) ) ) ).
fof(fc6_index_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_index_1(B)) ) ) ) )  =>  (v1_relat_1(k3_index_1(B)) &  (v2_relat_1(k3_index_1(B)) &  (v1_funct_1(k3_index_1(B)) & v1_partfun1(k3_index_1(B), A)) ) ) ) ) ).
fof(fc7_index_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_index_1(B)) ) ) ) )  =>  (v1_relat_1(k4_index_1(B)) &  (v2_relat_1(k4_index_1(B)) &  (v1_funct_1(k4_index_1(B)) & v1_partfun1(k4_index_1(B), A)) ) ) ) ) ).
fof(fc8_index_1, axiom,  (! [A, B, C] :  (m1_index_1(C, A, B) =>  (v1_relat_1(k1_xtuple_0(C)) & v1_funct_1(k1_xtuple_0(C))) ) ) ).
fof(fc9_index_1, axiom,  (! [A, B, C] :  (m1_index_1(C, A, B) =>  (v1_relat_1(k2_xtuple_0(C)) & v1_funct_1(k2_xtuple_0(C))) ) ) ).
fof(fc10_index_1, axiom,  (! [A, B, C] :  (m1_index_1(C, A, B) =>  (v1_relat_1(k1_xtuple_0(C)) & v4_relat_1(k1_xtuple_0(C), A)) ) ) ).
fof(fc11_index_1, axiom,  (! [A, B, C] :  (m1_index_1(C, A, B) =>  (v1_relat_1(k2_xtuple_0(C)) & v4_relat_1(k2_xtuple_0(C), B)) ) ) ).
fof(fc12_index_1, axiom,  (! [A, B, C] :  (m1_index_1(C, A, B) =>  (v1_relat_1(k1_xtuple_0(C)) &  (v4_relat_1(k1_xtuple_0(C), A) &  (v1_funct_1(k1_xtuple_0(C)) & v1_partfun1(k1_xtuple_0(C), A)) ) ) ) ) ).
fof(fc13_index_1, axiom,  (! [A, B, C] :  (m1_index_1(C, A, B) =>  (v1_relat_1(k2_xtuple_0(C)) &  (v4_relat_1(k2_xtuple_0(C), B) &  (v1_funct_1(k2_xtuple_0(C)) & v1_partfun1(k2_xtuple_0(C), B)) ) ) ) ) ).
fof(rc4_index_1, axiom,  (! [A, B] :  (? [C] :  (m1_index_1(C, A, B) &  (v2_index_1(C, A, B) & v3_index_1(C, A, B)) ) ) ) ).
fof(fc14_index_1, axiom,  (! [A, B, C] :  ( (v2_index_1(C, A, B) & m1_index_1(C, A, B))  =>  (v1_relat_1(k1_xtuple_0(C)) &  (v1_funct_1(k1_xtuple_0(C)) & v1_index_1(k1_xtuple_0(C))) ) ) ) ).
fof(fc15_index_1, axiom,  (! [A, B, C] :  ( (v3_index_1(C, A, B) & m1_index_1(C, A, B))  =>  (v1_relat_1(k2_xtuple_0(C)) &  (v1_funct_1(k2_xtuple_0(C)) & v1_funcop_1(k2_xtuple_0(C))) ) ) ) ).
fof(fc16_index_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  => v4_funct_1(k10_xtuple_0(A))) ) ).
fof(rc5_index_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  & m3_index_1(E, A, B, C, D)) ) ) )  =>  (? [F] :  (m4_index_1(F, A, B, C, D, E) &  ( ~ (v2_struct_0(F))  &  ( ~ (v11_struct_0(F))  &  (v14_struct_0(F) &  (v1_cat_1(F) &  (v2_cat_1(F) &  (v3_cat_1(F) &  (v4_cat_1(F) &  (v5_cat_1(F) &  (v6_cat_1(F) &  (v1_cat_5(F) &  (v3_cat_5(F) & v4_cat_5(F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc17_index_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) &  (v3_cat_5(B) & l1_cat_1(B)) ) ) ) ) ) ) )  & m2_cat_1(C, A, B)) )  =>  (v1_funct_1(k7_cat_1(A, B, C)) &  (v1_funct_2(k7_cat_1(A, B, C), u1_struct_0(A), u1_struct_0(B)) & v1_index_1(k7_cat_1(A, B, C))) ) ) ) ).
fof(t1_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_5(A) & l1_cat_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (k3_graph_1(A, C)=k4_graph_1(A, B) => k1_cat_1(A, B, C)=k4_tarski(k7_cat_2(A, A, k3_graph_1(A, B), k4_graph_1(A, C)), k1_partfun1(u4_struct_0(k5_cat_5(A, B)), u4_struct_0(k6_cat_5(A, B)), u4_struct_0(k5_cat_5(A, C)), u4_struct_0(k6_cat_5(A, C)), k1_index_1(A, B), k1_index_1(A, C)))) ) ) ) ) ) ) ).
fof(t2_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) &  (v3_cat_5(B) & l1_cat_1(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) &  (v3_cat_5(C) & l1_cat_1(C)) ) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, A, C) =>  (r1_funct_2(u4_struct_0(A), u4_struct_0(B), u4_struct_0(A), u4_struct_0(C), D, E) => r1_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(A), u1_struct_0(C), k7_cat_1(A, B, D), k7_cat_1(A, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_index_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_index_1(A) <=>  (! [B] :  (r2_tarski(B, k9_xtuple_0(A)) =>  ( ~ (v2_struct_0(k1_funct_1(A, B)))  &  ( ~ (v11_struct_0(k1_funct_1(A, B)))  &  (v2_cat_1(k1_funct_1(A, B)) &  (v3_cat_1(k1_funct_1(A, B)) &  (v4_cat_1(k1_funct_1(A, B)) &  (v5_cat_1(k1_funct_1(A, B)) &  (v6_cat_1(k1_funct_1(A, B)) & l1_cat_1(k1_funct_1(A, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_index_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_index_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) & v1_funct_1(B)) )  =>  (B=k3_index_1(A) <=>  (k9_xtuple_0(B)=k9_xtuple_0(A) &  (! [C] :  (r2_hidden(C, k9_xtuple_0(A)) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_cat_1(D) &  (v3_cat_1(D) &  (v4_cat_1(D) &  (v5_cat_1(D) &  (v6_cat_1(D) & l1_cat_1(D)) ) ) ) ) ) )  =>  (D=k1_funct_1(A, C) => k1_funct_1(B, C)=u1_struct_0(D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_index_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_index_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) & v1_funct_1(B)) )  =>  (B=k4_index_1(A) <=>  (k9_xtuple_0(B)=k9_xtuple_0(A) &  (! [C] :  (r2_hidden(C, k9_xtuple_0(A)) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_cat_1(D) &  (v3_cat_1(D) &  (v4_cat_1(D) &  (v5_cat_1(D) &  (v6_cat_1(D) & l1_cat_1(D)) ) ) ) ) ) )  =>  (D=k1_funct_1(A, C) => k1_funct_1(B, C)=u4_struct_0(D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_index_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (k3_index_1(k7_funcop_1(A, B))=k7_funcop_1(A, u1_struct_0(B)) & k4_index_1(k7_funcop_1(A, B))=k7_funcop_1(A, u4_struct_0(B))) ) ) ) ).
fof(d4_index_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_index_1(C, A, B) <=>  (? [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  &  (? [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, B) &  (v1_funct_1(E) & v1_partfun1(E, B)) ) )  & C=k4_tarski(D, E)) ) ) ) ) ) ) ) ).
fof(d5_index_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_index_1(C, A, B) =>  (v2_index_1(C, A, B) <=> v1_index_1(k1_xfamily(C))) ) ) ) ) ).
fof(d6_index_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_index_1(C, A, B) =>  (v3_index_1(C, A, B) <=> v1_funcop_1(k2_xfamily(C))) ) ) ) ) ).
fof(d7_index_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_index_1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v1_index_1(C)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) & v1_funcop_1(D)) ) ) )  =>  (m2_index_1(D, A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) => m2_cat_1(k1_funct_1(D, E), k2_index_1(A, B, E), k2_index_1(A, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_index_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [E] :  ( (v2_index_1(E, A, B) & m1_index_1(E, A, B))  =>  (m3_index_1(E, A, B, C, D) <=> m2_index_1(k2_xfamily(E), B, k3_relat_1(C, k1_xfamily(E)), k3_relat_1(D, k1_xfamily(E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_index_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [E] :  (m3_index_1(E, A, B, C, D) =>  (! [F] :  (m1_subset_1(F, B) => m2_cat_1(k1_funct_1(k2_xfamily(E), F), k2_index_1(A, k1_xfamily(E), k3_funct_2(B, A, C, F)), k2_index_1(A, k1_xfamily(E), k3_funct_2(B, A, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m3_index_1(B, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) => m2_cat_1(k1_funct_1(k2_xfamily(B), C), k2_index_1(u1_struct_0(A), k1_xfamily(B), k3_graph_1(A, C)), k2_index_1(u1_struct_0(A), k1_xfamily(B), k4_graph_1(A, C)))) ) ) ) ) ) ).
fof(d9_index_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [E] :  (m3_index_1(E, A, B, C, D) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  ( ~ (v11_struct_0(F))  &  (v2_cat_1(F) &  (v3_cat_1(F) &  (v4_cat_1(F) &  (v5_cat_1(F) &  (v6_cat_1(F) &  (v3_cat_5(F) & l1_cat_1(F)) ) ) ) ) ) ) )  =>  (m4_index_1(F, A, B, C, D, E) <=>  ( (! [G] :  (m1_subset_1(G, A) => m1_subset_1(k2_index_1(A, k1_xfamily(E), G), u1_struct_0(F))) )  &  (! [G] :  (m1_subset_1(G, B) => m1_subset_1(k4_tarski(k4_tarski(k2_index_1(A, k1_xfamily(E), k3_funct_2(B, A, C, G)), k2_index_1(A, k1_xfamily(E), k3_funct_2(B, A, D, G))), k7_index_1(B, k3_relat_1(C, k1_xfamily(E)), k3_relat_1(D, k1_xfamily(E)), k8_index_1(A, B, C, D, E), G)), u4_struct_0(F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_index_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B))))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ( (? [G] :  ( ( ~ (v2_struct_0(G))  &  ( ~ (v11_struct_0(G))  &  (v2_cat_1(G) &  (v3_cat_1(G) &  (v4_cat_1(G) &  (v5_cat_1(G) &  (v6_cat_1(G) & l1_cat_1(G)) ) ) ) ) ) )  & G=g1_cat_1(A, B, C, D, E)) )  =>  (! [G] :  (m3_index_1(G, A, B, C, D) =>  (m5_index_1(G, A, B, C, D, E, F) <=>  ( (! [H] :  (m1_subset_1(H, A) => r1_funct_2(u4_struct_0(k2_index_1(B, k3_relat_1(C, k1_xfamily(G)), k3_funct_2(A, B, F, H))), u4_struct_0(k2_index_1(B, k3_relat_1(D, k1_xfamily(G)), k3_funct_2(A, B, F, H))), u4_struct_0(k2_index_1(A, k1_xfamily(G), H)), u4_struct_0(k2_index_1(A, k1_xfamily(G), H)), k7_index_1(B, k3_relat_1(C, k1_xfamily(G)), k3_relat_1(D, k1_xfamily(G)), k8_index_1(A, B, C, D, G), k3_funct_2(A, B, F, H)), k10_cat_1(k2_index_1(A, k1_xfamily(G), H)))) )  &  (! [H] :  (m1_subset_1(H, B) =>  (! [I] :  (m1_subset_1(I, B) =>  (k3_funct_2(B, A, C, I)=k3_funct_2(B, A, D, H) => k1_funct_1(k8_index_1(A, B, C, D, G), k1_funct_1(E, k4_tarski(I, H)))=k1_partfun1(u4_struct_0(k2_index_1(B, k3_relat_1(C, k1_xfamily(G)), H)), u4_struct_0(k2_index_1(B, k3_relat_1(D, k1_xfamily(G)), H)), u4_struct_0(k2_index_1(B, k3_relat_1(C, k1_xfamily(G)), I)), u4_struct_0(k2_index_1(B, k3_relat_1(D, k1_xfamily(G)), I)), k7_index_1(B, k3_relat_1(C, k1_xfamily(G)), k3_relat_1(D, k1_xfamily(G)), k8_index_1(A, B, C, D, G), H), k7_index_1(B, k3_relat_1(C, k1_xfamily(G)), k3_relat_1(D, k1_xfamily(G)), k8_index_1(A, B, C, D, G), I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m3_index_1(B, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A)) =>  (m5_index_1(B, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A), k7_isocat_1(A)) <=>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_funct_2(u4_struct_0(k2_index_1(u4_struct_0(A), k3_relat_1(u1_graph_1(A), k1_xfamily(B)), k4_cat_1(A, C))), u4_struct_0(k2_index_1(u4_struct_0(A), k3_relat_1(u2_graph_1(A), k1_xfamily(B)), k4_cat_1(A, C))), u4_struct_0(k2_index_1(u1_struct_0(A), k1_xfamily(B), C)), u4_struct_0(k2_index_1(u1_struct_0(A), k1_xfamily(B), C)), k7_index_1(u4_struct_0(A), k3_relat_1(u1_graph_1(A), k1_xfamily(B)), k3_relat_1(u2_graph_1(A), k1_xfamily(B)), k8_index_1(u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), B), k4_cat_1(A, C)), k10_cat_1(k2_index_1(u1_struct_0(A), k1_xfamily(B), C)))) )  &  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (k3_graph_1(A, D)=k4_graph_1(A, C) => k7_index_1(u4_struct_0(A), k3_relat_1(u1_graph_1(A), k1_xfamily(B)), k3_relat_1(u2_graph_1(A), k1_xfamily(B)), k8_index_1(u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), B), k1_cat_1(A, C, D))=k1_partfun1(u4_struct_0(k2_index_1(u4_struct_0(A), k3_relat_1(u1_graph_1(A), k1_xfamily(B)), C)), u4_struct_0(k2_index_1(u4_struct_0(A), k3_relat_1(u2_graph_1(A), k1_xfamily(B)), C)), u4_struct_0(k2_index_1(u4_struct_0(A), k3_relat_1(u1_graph_1(A), k1_xfamily(B)), D)), u4_struct_0(k2_index_1(u4_struct_0(A), k3_relat_1(u2_graph_1(A), k1_xfamily(B)), D)), k7_index_1(u4_struct_0(A), k3_relat_1(u1_graph_1(A), k1_xfamily(B)), k3_relat_1(u2_graph_1(A), k1_xfamily(B)), k8_index_1(u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), B), C), k7_index_1(u4_struct_0(A), k3_relat_1(u1_graph_1(A), k1_xfamily(B)), k3_relat_1(u2_graph_1(A), k1_xfamily(B)), k8_index_1(u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), B), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m3_index_1(B, u1_struct_0(A), u4_struct_0(A), u2_graph_1(A), u1_graph_1(A)) =>  (m5_index_1(B, u1_struct_0(A), u4_struct_0(A), u2_graph_1(A), u1_graph_1(A), k3_funct_4(u4_struct_0(A), u4_struct_0(A), u4_struct_0(A), u1_cat_1(A)), k7_isocat_1(A)) <=>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_funct_2(u4_struct_0(k2_index_1(u4_struct_0(A), k3_relat_1(u2_graph_1(A), k1_xfamily(B)), k4_cat_1(A, C))), u4_struct_0(k2_index_1(u4_struct_0(A), k3_relat_1(u1_graph_1(A), k1_xfamily(B)), k4_cat_1(A, C))), u4_struct_0(k2_index_1(u1_struct_0(A), k1_xfamily(B), C)), u4_struct_0(k2_index_1(u1_struct_0(A), k1_xfamily(B), C)), k7_index_1(u4_struct_0(A), k3_relat_1(u2_graph_1(A), k1_xfamily(B)), k3_relat_1(u1_graph_1(A), k1_xfamily(B)), k8_index_1(u1_struct_0(A), u4_struct_0(A), u2_graph_1(A), u1_graph_1(A), B), k4_cat_1(A, C)), k10_cat_1(k2_index_1(u1_struct_0(A), k1_xfamily(B), C)))) )  &  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (k3_graph_1(A, D)=k4_graph_1(A, C) => k7_index_1(u4_struct_0(A), k3_relat_1(u2_graph_1(A), k1_xfamily(B)), k3_relat_1(u1_graph_1(A), k1_xfamily(B)), k8_index_1(u1_struct_0(A), u4_struct_0(A), u2_graph_1(A), u1_graph_1(A), B), k1_cat_1(A, C, D))=k1_partfun1(u4_struct_0(k2_index_1(u4_struct_0(A), k3_relat_1(u2_graph_1(A), k1_xfamily(B)), D)), u4_struct_0(k2_index_1(u4_struct_0(A), k3_relat_1(u1_graph_1(A), k1_xfamily(B)), D)), u4_struct_0(k2_index_1(u4_struct_0(A), k3_relat_1(u2_graph_1(A), k1_xfamily(B)), C)), u4_struct_0(k2_index_1(u4_struct_0(A), k3_relat_1(u1_graph_1(A), k1_xfamily(B)), C)), k7_index_1(u4_struct_0(A), k3_relat_1(u2_graph_1(A), k1_xfamily(B)), k3_relat_1(u1_graph_1(A), k1_xfamily(B)), k8_index_1(u1_struct_0(A), u4_struct_0(A), u2_graph_1(A), u1_graph_1(A), B), D), k7_index_1(u4_struct_0(A), k3_relat_1(u2_graph_1(A), k1_xfamily(B)), k3_relat_1(u1_graph_1(A), k1_xfamily(B)), k8_index_1(u1_struct_0(A), u4_struct_0(A), u2_graph_1(A), u1_graph_1(A), B), C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m5_index_1(B, u1_struct_0(A), u4_struct_0(A), u2_graph_1(A), u1_graph_1(A), k3_funct_4(u4_struct_0(A), u4_struct_0(A), u4_struct_0(A), u1_cat_1(A)), k7_isocat_1(A)) <=> m5_index_1(B, u1_struct_0(k1_oppcat_1(A)), u4_struct_0(k1_oppcat_1(A)), u1_graph_1(k1_oppcat_1(A)), u2_graph_1(k1_oppcat_1(A)), u1_cat_1(k1_oppcat_1(A)), k7_isocat_1(k1_oppcat_1(A)))) ) ) ) ).
fof(t9_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m5_index_1(B, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A), k7_isocat_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ~ (v1_xboole_0(k2_cat_1(A, C, D)))  =>  (! [E] :  (m1_cat_1(E, A, C, D) => m2_cat_1(k7_index_1(u4_struct_0(A), k3_relat_1(u1_graph_1(A), k1_xfamily(B)), k3_relat_1(u2_graph_1(A), k1_xfamily(B)), k8_index_1(u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), B), E), k2_index_1(u1_struct_0(A), k1_xfamily(B), C), k2_index_1(u1_struct_0(A), k1_xfamily(B), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m5_index_1(B, u1_struct_0(A), u4_struct_0(A), u2_graph_1(A), u1_graph_1(A), k3_funct_4(u4_struct_0(A), u4_struct_0(A), u4_struct_0(A), u1_cat_1(A)), k7_isocat_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ~ (v1_xboole_0(k2_cat_1(A, C, D)))  =>  (! [E] :  (m1_cat_1(E, A, C, D) => m2_cat_1(k7_index_1(u4_struct_0(A), k3_relat_1(u2_graph_1(A), k1_xfamily(B)), k3_relat_1(u1_graph_1(A), k1_xfamily(B)), k8_index_1(u1_struct_0(A), u4_struct_0(A), u2_graph_1(A), u1_graph_1(A), B), E), k2_index_1(u1_struct_0(A), k1_xfamily(B), D), k2_index_1(u1_struct_0(A), k1_xfamily(B), C))) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m5_index_1(B, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A), k7_isocat_1(A)) =>  (! [C] :  (m4_index_1(C, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), B) =>  (! [D] :  (m2_cat_1(D, A, C) =>  (D=k9_index_1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) => k3_funct_2(u4_struct_0(A), u4_struct_0(C), D, E)=k4_tarski(k4_tarski(k2_index_1(u1_struct_0(A), k1_xfamily(B), k3_graph_1(A, E)), k2_index_1(u1_struct_0(A), k1_xfamily(B), k4_graph_1(A, E))), k7_index_1(u4_struct_0(A), k3_relat_1(u1_graph_1(A), k1_xfamily(B)), k3_relat_1(u2_graph_1(A), k1_xfamily(B)), k8_index_1(u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), B), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m5_index_1(B, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A), k7_isocat_1(A)) =>  (! [C] :  (m4_index_1(C, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), B) =>  (! [D] :  (m4_index_1(D, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), B) =>  (r1_funct_2(u4_struct_0(A), u4_struct_0(C), u4_struct_0(A), u4_struct_0(D), k9_index_1(A, B, C), k9_index_1(A, B, D)) & r1_funct_2(u1_struct_0(A), u1_struct_0(C), u1_struct_0(A), u1_struct_0(D), k7_cat_1(A, C, k9_index_1(A, B, C)), k7_cat_1(A, D, k9_index_1(A, B, D)))) ) ) ) ) ) ) ) ) ).
fof(t12_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m5_index_1(B, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A), k7_isocat_1(A)) =>  (! [C] :  (m4_index_1(C, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), B) => k7_cat_1(A, C, k9_index_1(A, B, C))=k1_xfamily(B)) ) ) ) ) ) ).
fof(t13_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m5_index_1(B, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A), k7_isocat_1(A)) =>  (! [C] :  (m4_index_1(C, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k8_cat_1(A, C, k9_index_1(A, B, C), D)=k2_index_1(u1_struct_0(A), k1_xfamily(B), D)) ) ) ) ) ) ) ) ).
fof(d12_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m5_index_1(B, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A), k7_isocat_1(A)) =>  (! [C] :  ( (v1_cat_1(C) & m4_index_1(C, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), B))  =>  (C=k10_index_1(A, B) <=>  (! [D] :  (m4_index_1(D, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), B) => C=k4_cat_5(A, D, k9_index_1(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t14_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m5_index_1(B, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A), k7_isocat_1(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) &  (v3_cat_5(C) & l1_cat_1(C)) ) ) ) ) ) ) )  =>  (m3_cat_2(k10_index_1(A, B), C) <=> m4_index_1(C, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), B)) ) ) ) ) ) ) ).
fof(d13_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m5_index_1(B, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A), k7_isocat_1(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) => k11_index_1(A, B, C)=k7_index_1(u4_struct_0(A), k3_relat_1(u1_graph_1(A), k1_xfamily(B)), k3_relat_1(u2_graph_1(A), k1_xfamily(B)), k8_index_1(u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), B), C)) ) ) ) ) ) ).
fof(d14_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m5_index_1(B, u1_struct_0(A), u4_struct_0(A), u2_graph_1(A), u1_graph_1(A), k3_funct_4(u4_struct_0(A), u4_struct_0(A), u4_struct_0(A), u1_cat_1(A)), k7_isocat_1(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) => k12_index_1(A, B, C)=k7_index_1(u4_struct_0(A), k3_relat_1(u2_graph_1(A), k1_xfamily(B)), k3_relat_1(u1_graph_1(A), k1_xfamily(B)), k8_index_1(u1_struct_0(A), u4_struct_0(A), u2_graph_1(A), u1_graph_1(A), B), C)) ) ) ) ) ) ).
fof(t15_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (m5_index_1(k6_index_1(u1_struct_0(A), u4_struct_0(A), k7_funcop_1(u1_struct_0(A), B), k7_funcop_1(u4_struct_0(A), k10_cat_1(B))), u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A), k7_isocat_1(A)) & m5_index_1(k6_index_1(u1_struct_0(A), u4_struct_0(A), k7_funcop_1(u1_struct_0(A), B), k7_funcop_1(u4_struct_0(A), k10_cat_1(B))), u1_struct_0(A), u4_struct_0(A), u2_graph_1(A), u1_graph_1(A), k3_funct_4(u4_struct_0(A), u4_struct_0(A), u4_struct_0(A), u1_cat_1(A)), k7_isocat_1(A))) ) ) ) ) ).
fof(t16_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) &  (v3_cat_5(B) & l1_cat_1(B)) ) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) => m5_index_1(k4_tarski(k7_cat_1(A, B, C), k12_mcart_1(C)), u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A), k7_isocat_1(A))) ) ) ) ) ) ).
fof(d15_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) &  (v3_cat_5(B) & l1_cat_1(B)) ) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) => k13_index_1(A, B, C)=k4_tarski(k7_cat_1(A, B, C), k12_mcart_1(C))) ) ) ) ) ) ).
fof(t17_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) &  (v3_cat_5(B) & l1_cat_1(B)) ) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) => m4_index_1(B, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), k13_index_1(A, B, C))) ) ) ) ) ) ).
fof(t18_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) &  (v3_cat_5(B) & l1_cat_1(B)) ) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m4_index_1(D, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), k13_index_1(A, B, C)) => r1_funct_2(u4_struct_0(A), u4_struct_0(B), u4_struct_0(A), u4_struct_0(D), C, k9_index_1(A, k13_index_1(A, B, C), D))) ) ) ) ) ) ) ) ).
fof(t19_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) &  (v3_cat_5(B) & l1_cat_1(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) &  (v3_cat_5(C) & l1_cat_1(C)) ) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, A, C) =>  (r1_funct_2(u4_struct_0(A), u4_struct_0(B), u4_struct_0(A), u4_struct_0(C), D, E) => k13_index_1(A, B, D)=k13_index_1(A, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m5_index_1(B, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A), k7_isocat_1(A)) =>  (! [C] :  (m4_index_1(C, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), B) => k12_mcart_1(k9_index_1(A, B, C))=k8_index_1(u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), B)) ) ) ) ) ) ).
fof(t21_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m5_index_1(B, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A), k7_isocat_1(A)) =>  (! [C] :  (m4_index_1(C, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), B) => k13_index_1(A, C, k9_index_1(A, B, C))=B) ) ) ) ) ) ).
fof(d16_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m5_index_1(E, u1_struct_0(C), u4_struct_0(C), u1_graph_1(C), u2_graph_1(C), u1_cat_1(C), k7_isocat_1(C)) =>  (m3_cat_2(k4_cat_5(A, B, D), C) =>  (! [F] :  (m5_index_1(F, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A), k7_isocat_1(A)) =>  (F=k14_index_1(A, B, C, D, E) <=>  (! [G] :  (m2_cat_1(G, A, C) =>  (r1_funct_2(u4_struct_0(A), u4_struct_0(C), u4_struct_0(A), u4_struct_0(B), G, D) => F=k13_index_1(A, k10_index_1(C, E), k9_cat_1(A, C, k10_index_1(C, E), G, k9_index_1(C, E, k10_index_1(C, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_cat_1(D) &  (v3_cat_1(D) &  (v4_cat_1(D) &  (v5_cat_1(D) &  (v6_cat_1(D) & l1_cat_1(D)) ) ) ) ) ) )  =>  (! [E] :  (m5_index_1(E, u1_struct_0(D), u4_struct_0(D), u1_graph_1(D), u2_graph_1(D), u1_cat_1(D), k7_isocat_1(D)) =>  (! [F] :  (m2_cat_1(F, A, B) =>  (! [G] :  (m2_cat_1(G, A, C) =>  ( (m3_cat_2(k4_cat_5(A, B, F), D) &  (m3_cat_2(k4_cat_5(A, C, G), D) & r1_funct_2(u4_struct_0(A), u4_struct_0(B), u4_struct_0(A), u4_struct_0(C), F, G)) )  => k14_index_1(A, B, D, F, E)=k14_index_1(A, C, D, G, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m5_index_1(D, u1_struct_0(B), u4_struct_0(B), u1_graph_1(B), u2_graph_1(B), u1_cat_1(B), k7_isocat_1(B)) =>  (! [E] :  (m4_index_1(E, u1_struct_0(B), u4_struct_0(B), u1_graph_1(B), u2_graph_1(B), D) => k14_index_1(A, B, B, C, D)=k13_index_1(A, E, k9_cat_1(A, B, E, C, k9_index_1(B, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t24_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m5_index_1(D, u1_struct_0(B), u4_struct_0(B), u1_graph_1(B), u2_graph_1(B), u1_cat_1(B), k7_isocat_1(B)) =>  (! [E] :  (m4_index_1(E, u1_struct_0(B), u4_struct_0(B), u1_graph_1(B), u2_graph_1(B), D) => m4_index_1(E, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), k14_index_1(A, B, B, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t25_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m5_index_1(D, u1_struct_0(B), u4_struct_0(B), u1_graph_1(B), u2_graph_1(B), u1_cat_1(B), k7_isocat_1(B)) =>  (! [E] :  (m4_index_1(E, u1_struct_0(B), u4_struct_0(B), u1_graph_1(B), u2_graph_1(B), D) => m3_cat_2(k10_index_1(A, k14_index_1(A, B, B, C, D)), E)) ) ) ) ) ) ) ) ) ) ).
fof(t26_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, B, C) =>  (! [F] :  (m5_index_1(F, u1_struct_0(C), u4_struct_0(C), u1_graph_1(C), u2_graph_1(C), u1_cat_1(C), k7_isocat_1(C)) => k14_index_1(A, B, B, D, k14_index_1(B, C, C, E, F))=k14_index_1(A, C, C, k9_cat_1(A, B, C, D, E), F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m5_index_1(B, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A), k7_isocat_1(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) &  (v3_cat_5(C) & l1_cat_1(C)) ) ) ) ) ) ) )  =>  (m4_index_1(C, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), B) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_cat_1(D) &  (v3_cat_1(D) &  (v4_cat_1(D) &  (v5_cat_1(D) &  (v6_cat_1(D) &  (v3_cat_5(D) & l1_cat_1(D)) ) ) ) ) ) ) )  =>  (! [E] :  (m2_cat_1(E, C, D) =>  (! [F] :  (m5_index_1(F, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A), k7_isocat_1(A)) =>  (F=k15_index_1(A, B, C, D, E) <=>  (! [G] :  (m4_index_1(G, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), B) =>  (! [H] :  (m2_cat_1(H, G, D) =>  ( (G=C & r1_funct_2(u4_struct_0(G), u4_struct_0(D), u4_struct_0(C), u4_struct_0(D), H, E))  => F=k13_index_1(A, D, k9_cat_1(A, G, D, k9_index_1(A, B, G), H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m5_index_1(B, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A), k7_isocat_1(A)) =>  (! [C] :  (m4_index_1(C, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), B) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_cat_1(D) &  (v3_cat_1(D) &  (v4_cat_1(D) &  (v5_cat_1(D) &  (v6_cat_1(D) &  (v3_cat_5(D) & l1_cat_1(D)) ) ) ) ) ) ) )  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_cat_1(E) &  (v3_cat_1(E) &  (v4_cat_1(E) &  (v5_cat_1(E) &  (v6_cat_1(E) &  (v3_cat_5(E) & l1_cat_1(E)) ) ) ) ) ) ) )  =>  (! [F] :  (m2_cat_1(F, C, D) =>  (! [G] :  (m2_cat_1(G, C, E) =>  (r1_funct_2(u4_struct_0(C), u4_struct_0(D), u4_struct_0(C), u4_struct_0(E), F, G) => k15_index_1(A, B, C, D, F)=k15_index_1(A, B, C, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m5_index_1(B, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A), k7_isocat_1(A)) =>  (! [C] :  (m4_index_1(C, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), B) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_cat_1(D) &  (v3_cat_1(D) &  (v4_cat_1(D) &  (v5_cat_1(D) &  (v6_cat_1(D) &  (v3_cat_5(D) & l1_cat_1(D)) ) ) ) ) ) ) )  =>  (! [E] :  (m2_cat_1(E, C, D) => m4_index_1(k4_cat_5(C, D, E), u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), k15_index_1(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t29_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m5_index_1(B, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A), k7_isocat_1(A)) =>  (! [C] :  (m4_index_1(C, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), B) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_cat_1(D) &  (v3_cat_1(D) &  (v4_cat_1(D) &  (v5_cat_1(D) &  (v6_cat_1(D) &  (v3_cat_5(D) & l1_cat_1(D)) ) ) ) ) ) ) )  =>  (! [E] :  (m2_cat_1(E, C, D) => m4_index_1(D, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), k15_index_1(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t30_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m5_index_1(B, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A), k7_isocat_1(A)) =>  (! [C] :  (m4_index_1(C, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), B) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_cat_1(D) &  (v3_cat_1(D) &  (v4_cat_1(D) &  (v5_cat_1(D) &  (v6_cat_1(D) &  (v3_cat_5(D) & l1_cat_1(D)) ) ) ) ) ) ) )  =>  (! [E] :  (m2_cat_1(E, C, D) => m3_cat_2(k10_index_1(A, k15_index_1(A, B, C, D, E)), k4_cat_5(C, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t31_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m5_index_1(B, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A), k7_isocat_1(A)) =>  (! [C] :  (m4_index_1(C, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), B) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_cat_1(D) &  (v3_cat_1(D) &  (v4_cat_1(D) &  (v5_cat_1(D) &  (v6_cat_1(D) &  (v3_cat_5(D) & l1_cat_1(D)) ) ) ) ) ) ) )  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_cat_1(E) &  (v3_cat_1(E) &  (v4_cat_1(E) &  (v5_cat_1(E) &  (v6_cat_1(E) &  (v3_cat_5(E) & l1_cat_1(E)) ) ) ) ) ) ) )  =>  (! [F] :  (m2_cat_1(F, C, D) =>  (! [G] :  (m2_cat_1(G, D, E) => k15_index_1(A, B, C, E, k9_cat_1(C, D, E, F, G))=k15_index_1(A, k15_index_1(A, B, C, D, F), D, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m5_index_1(C, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A), k7_isocat_1(A)) =>  (! [D] :  (m5_index_1(D, u1_struct_0(B), u4_struct_0(B), u1_graph_1(B), u2_graph_1(B), u1_cat_1(B), k7_isocat_1(B)) => k16_index_1(A, B, C, D)=k14_index_1(A, k10_index_1(A, C), B, k9_index_1(A, C, k10_index_1(A, C)), D)) ) ) ) ) ) ) ) ).
fof(t32_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) &  (v3_cat_5(B) & l1_cat_1(B)) ) ) ) ) ) ) )  =>  (! [C] :  (m5_index_1(C, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A), k7_isocat_1(A)) =>  (! [D] :  (m5_index_1(D, u1_struct_0(B), u4_struct_0(B), u1_graph_1(B), u2_graph_1(B), u1_cat_1(B), k7_isocat_1(B)) =>  (! [E] :  (m4_index_1(E, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), C) =>  (m4_index_1(B, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), C) => k16_index_1(A, B, C, D)=k14_index_1(A, E, B, k9_index_1(A, C, E), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) &  (v3_cat_5(B) & l1_cat_1(B)) ) ) ) ) ) ) )  =>  (! [C] :  (m5_index_1(C, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A), k7_isocat_1(A)) =>  (! [D] :  (m5_index_1(D, u1_struct_0(B), u4_struct_0(B), u1_graph_1(B), u2_graph_1(B), u1_cat_1(B), k7_isocat_1(B)) =>  (! [E] :  (m4_index_1(E, u1_struct_0(B), u4_struct_0(B), u1_graph_1(B), u2_graph_1(B), D) =>  (m4_index_1(B, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), C) => k16_index_1(A, B, C, D)=k15_index_1(A, C, B, E, k9_index_1(B, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m5_index_1(D, u1_struct_0(B), u4_struct_0(B), u1_graph_1(B), u2_graph_1(B), u1_cat_1(B), k7_isocat_1(B)) =>  (! [E] :  (m4_index_1(E, u1_struct_0(B), u4_struct_0(B), u1_graph_1(B), u2_graph_1(B), D) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  ( ~ (v11_struct_0(F))  &  (v2_cat_1(F) &  (v3_cat_1(F) &  (v4_cat_1(F) &  (v5_cat_1(F) &  (v6_cat_1(F) &  (v3_cat_5(F) & l1_cat_1(F)) ) ) ) ) ) ) )  =>  (! [G] :  (m2_cat_1(G, E, F) => k14_index_1(A, B, B, C, k15_index_1(B, D, E, F, G))=k15_index_1(A, k14_index_1(A, B, B, C, D), E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m5_index_1(B, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A), k7_isocat_1(A)) =>  (! [C] :  (m4_index_1(C, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), B) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_cat_1(D) &  (v3_cat_1(D) &  (v4_cat_1(D) &  (v5_cat_1(D) &  (v6_cat_1(D) &  (v3_cat_5(D) & l1_cat_1(D)) ) ) ) ) ) ) )  =>  (! [E] :  (m2_cat_1(E, C, D) =>  (! [F] :  (m5_index_1(F, u1_struct_0(D), u4_struct_0(D), u1_graph_1(D), u2_graph_1(D), u1_cat_1(D), k7_isocat_1(D)) => k16_index_1(A, C, B, k14_index_1(C, D, D, E, F))=k16_index_1(A, D, k15_index_1(A, B, C, D, E), F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m5_index_1(B, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A), k7_isocat_1(A)) =>  (! [C] :  (m4_index_1(C, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), B) =>  (! [D] :  (m5_index_1(D, u1_struct_0(C), u4_struct_0(C), u1_graph_1(C), u2_graph_1(C), u1_cat_1(C), k7_isocat_1(C)) =>  (! [E] :  (m4_index_1(E, u1_struct_0(C), u4_struct_0(C), u1_graph_1(C), u2_graph_1(C), D) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  ( ~ (v11_struct_0(F))  &  (v2_cat_1(F) &  (v3_cat_1(F) &  (v4_cat_1(F) &  (v5_cat_1(F) &  (v6_cat_1(F) &  (v3_cat_5(F) & l1_cat_1(F)) ) ) ) ) ) ) )  =>  (! [G] :  (m2_cat_1(G, E, F) => k16_index_1(A, C, B, k15_index_1(C, D, E, F, G))=k15_index_1(A, k16_index_1(A, C, B, D), E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m5_index_1(D, u1_struct_0(B), u4_struct_0(B), u1_graph_1(B), u2_graph_1(B), u1_cat_1(B), k7_isocat_1(B)) =>  (! [E] :  (m4_index_1(E, u1_struct_0(B), u4_struct_0(B), u1_graph_1(B), u2_graph_1(B), D) =>  (! [F] :  (m5_index_1(F, u1_struct_0(E), u4_struct_0(E), u1_graph_1(E), u2_graph_1(E), u1_cat_1(E), k7_isocat_1(E)) => k14_index_1(A, B, B, C, k16_index_1(B, E, D, F))=k16_index_1(A, E, k14_index_1(A, B, B, C, D), F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m5_index_1(B, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A), k7_isocat_1(A)) =>  (! [C] :  (m4_index_1(C, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), B) =>  (! [D] :  (m5_index_1(D, u1_struct_0(C), u4_struct_0(C), u1_graph_1(C), u2_graph_1(C), u1_cat_1(C), k7_isocat_1(C)) =>  (! [E] :  (m4_index_1(E, u1_struct_0(C), u4_struct_0(C), u1_graph_1(C), u2_graph_1(C), D) =>  (! [F] :  (m5_index_1(F, u1_struct_0(E), u4_struct_0(E), u1_graph_1(E), u2_graph_1(E), u1_cat_1(E), k7_isocat_1(E)) => k16_index_1(A, C, B, k16_index_1(C, E, D, F))=k16_index_1(A, E, k16_index_1(A, C, B, D), F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_index_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  => r1_funct_2(u1_struct_0(A), u4_struct_0(A), u1_struct_0(k1_oppcat_1(A)), u4_struct_0(k1_oppcat_1(A)), k7_isocat_1(A), k7_isocat_1(k1_oppcat_1(A)))) ) ).
fof(s1_index_1, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s1_index_1) => m2_cat_1(f4_s1_index_1(A), k2_index_1(f1_s1_index_1, f2_s1_index_1, A), k2_index_1(f1_s1_index_1, f3_s1_index_1, A))) )  =>  (? [A] :  (m2_index_1(A, f1_s1_index_1, f2_s1_index_1, f3_s1_index_1) &  (! [B] :  (m1_subset_1(B, f1_s1_index_1) => k1_funct_1(A, B)=f4_s1_index_1(B)) ) ) ) ) ).
fof(dt_k1_index_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_5(A) & l1_cat_1(A)) ) ) ) ) ) ) )  & m1_subset_1(B, u4_struct_0(A)))  => m2_cat_1(k1_index_1(A, B), k5_cat_5(A, B), k6_cat_5(A, B))) ) ).
fof(redefinition_k1_index_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v3_cat_5(A) & l1_cat_1(A)) ) ) ) ) ) ) )  & m1_subset_1(B, u4_struct_0(A)))  => k1_index_1(A, B)=k2_xtuple_0(B)) ) ).
fof(dt_k2_index_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_index_1(B)) ) ) )  & m1_subset_1(C, A)) )  =>  ( ~ (v2_struct_0(k2_index_1(A, B, C)))  &  ( ~ (v11_struct_0(k2_index_1(A, B, C)))  &  (v2_cat_1(k2_index_1(A, B, C)) &  (v3_cat_1(k2_index_1(A, B, C)) &  (v4_cat_1(k2_index_1(A, B, C)) &  (v5_cat_1(k2_index_1(A, B, C)) &  (v6_cat_1(k2_index_1(A, B, C)) & l1_cat_1(k2_index_1(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(redefinition_k2_index_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_index_1(B)) ) ) )  & m1_subset_1(C, A)) )  => k2_index_1(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k3_index_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_index_1(A)) )  =>  (v1_relat_1(k3_index_1(A)) &  (v2_relat_1(k3_index_1(A)) & v1_funct_1(k3_index_1(A))) ) ) ) ).
fof(dt_k4_index_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_index_1(A)) )  =>  (v1_relat_1(k4_index_1(A)) &  (v2_relat_1(k4_index_1(A)) & v1_funct_1(k4_index_1(A))) ) ) ) ).
fof(existence_m1_index_1, axiom,  (! [A, B] :  (? [C] : m1_index_1(C, A, B)) ) ).
fof(dt_k5_index_1, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  &  (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) & v1_partfun1(D, B)) ) ) )  => m1_index_1(k5_index_1(A, B, C, D), A, B)) ) ).
fof(redefinition_k5_index_1, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  &  (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) & v1_partfun1(D, B)) ) ) )  => k5_index_1(A, B, C, D)=k4_tarski(C, D)) ) ).
fof(dt_k6_index_1, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v1_index_1(C)) ) ) )  &  (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) &  (v1_partfun1(D, B) & v1_funcop_1(D)) ) ) ) )  =>  (v2_index_1(k6_index_1(A, B, C, D), A, B) &  (v3_index_1(k6_index_1(A, B, C, D), A, B) & m1_index_1(k6_index_1(A, B, C, D), A, B)) ) ) ) ).
fof(redefinition_k6_index_1, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v1_index_1(C)) ) ) )  &  (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) &  (v1_partfun1(D, B) & v1_funcop_1(D)) ) ) ) )  => k6_index_1(A, B, C, D)=k4_tarski(C, D)) ) ).
fof(dt_m2_index_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_index_1(B)) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v1_index_1(C)) ) ) ) ) )  =>  (! [D] :  (m2_index_1(D, A, B, C) =>  (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) & v1_funcop_1(D)) ) ) ) ) ) ) ) ).
fof(existence_m2_index_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_index_1(B)) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v1_index_1(C)) ) ) ) ) )  =>  (? [D] : m2_index_1(D, A, B, C)) ) ) ).
fof(dt_f1_s1_index_1, axiom,  ~ (v1_xboole_0(f1_s1_index_1)) ).
fof(dt_f2_s1_index_1, axiom,  (v1_relat_1(f2_s1_index_1) &  (v4_relat_1(f2_s1_index_1, f1_s1_index_1) &  (v1_funct_1(f2_s1_index_1) &  (v1_partfun1(f2_s1_index_1, f1_s1_index_1) & v1_index_1(f2_s1_index_1)) ) ) ) ).
fof(dt_f3_s1_index_1, axiom,  (v1_relat_1(f3_s1_index_1) &  (v4_relat_1(f3_s1_index_1, f1_s1_index_1) &  (v1_funct_1(f3_s1_index_1) &  (v1_partfun1(f3_s1_index_1, f1_s1_index_1) & v1_index_1(f3_s1_index_1)) ) ) ) ).
fof(dt_k7_index_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_index_1(B)) ) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v1_index_1(C)) ) ) )  &  (m2_index_1(D, A, B, C) & m1_subset_1(E, A)) ) ) )  => m2_cat_1(k7_index_1(A, B, C, D, E), k2_index_1(A, B, E), k2_index_1(A, C, E))) ) ).
fof(redefinition_k7_index_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_index_1(B)) ) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v1_index_1(C)) ) ) )  &  (m2_index_1(D, A, B, C) & m1_subset_1(E, A)) ) ) )  => k7_index_1(A, B, C, D, E)=k1_funct_1(D, E)) ) ).
fof(dt_m3_index_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) ) )  =>  (! [E] :  (m3_index_1(E, A, B, C, D) =>  (v2_index_1(E, A, B) & m1_index_1(E, A, B)) ) ) ) ) ).
fof(existence_m3_index_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) ) )  =>  (? [E] : m3_index_1(E, A, B, C, D)) ) ) ).
fof(dt_k8_index_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  & m3_index_1(E, A, B, C, D)) ) ) )  => m2_index_1(k8_index_1(A, B, C, D, E), B, k3_relat_1(C, k1_xfamily(E)), k3_relat_1(D, k1_xfamily(E)))) ) ).
fof(redefinition_k8_index_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  & m3_index_1(E, A, B, C, D)) ) ) )  => k8_index_1(A, B, C, D, E)=k2_xtuple_0(E)) ) ).
fof(dt_m4_index_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  & m3_index_1(E, A, B, C, D)) ) ) )  =>  (! [F] :  (m4_index_1(F, A, B, C, D, E) =>  ( ~ (v2_struct_0(F))  &  ( ~ (v11_struct_0(F))  &  (v2_cat_1(F) &  (v3_cat_1(F) &  (v4_cat_1(F) &  (v5_cat_1(F) &  (v6_cat_1(F) &  (v3_cat_5(F) & l1_cat_1(F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(existence_m4_index_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  & m3_index_1(E, A, B, C, D)) ) ) )  =>  (? [F] : m4_index_1(F, A, B, C, D, E)) ) ) ).
fof(dt_m5_index_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B))))  &  (v1_funct_1(F) &  (v1_funct_2(F, A, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ) )  =>  (! [G] :  (m5_index_1(G, A, B, C, D, E, F) => m3_index_1(G, A, B, C, D)) ) ) ) ).
fof(existence_m5_index_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B))))  &  (v1_funct_1(F) &  (v1_funct_2(F, A, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ) )  =>  (? [G] : m5_index_1(G, A, B, C, D, E, F)) ) ) ).
fof(dt_k9_index_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  (m5_index_1(B, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A), k7_isocat_1(A)) & m4_index_1(C, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), B)) )  => m2_cat_1(k9_index_1(A, B, C), A, C)) ) ).
fof(dt_k10_index_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  & m5_index_1(B, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A), k7_isocat_1(A)))  =>  (v1_cat_1(k10_index_1(A, B)) & m4_index_1(k10_index_1(A, B), u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), B)) ) ) ).
fof(dt_k11_index_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  (m5_index_1(B, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A), k7_isocat_1(A)) & m1_subset_1(C, u4_struct_0(A))) )  => m2_cat_1(k11_index_1(A, B, C), k2_index_1(u1_struct_0(A), k1_xfamily(B), k3_graph_1(A, C)), k2_index_1(u1_struct_0(A), k1_xfamily(B), k4_graph_1(A, C)))) ) ).
fof(dt_k12_index_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  (m5_index_1(B, u1_struct_0(A), u4_struct_0(A), u2_graph_1(A), u1_graph_1(A), k3_funct_4(u4_struct_0(A), u4_struct_0(A), u4_struct_0(A), u1_cat_1(A)), k7_isocat_1(A)) & m1_subset_1(C, u4_struct_0(A))) )  => m2_cat_1(k12_index_1(A, B, C), k2_index_1(u1_struct_0(A), k1_xfamily(B), k4_graph_1(A, C)), k2_index_1(u1_struct_0(A), k1_xfamily(B), k3_graph_1(A, C)))) ) ).
fof(dt_k13_index_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) &  (v3_cat_5(B) & l1_cat_1(B)) ) ) ) ) ) ) )  & m2_cat_1(C, A, B)) )  => m5_index_1(k13_index_1(A, B, C), u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A), k7_isocat_1(A))) ) ).
fof(dt_k14_index_1, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  (m2_cat_1(D, A, B) & m5_index_1(E, u1_struct_0(C), u4_struct_0(C), u1_graph_1(C), u2_graph_1(C), u1_cat_1(C), k7_isocat_1(C))) ) ) )  => m5_index_1(k14_index_1(A, B, C, D, E), u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A), k7_isocat_1(A))) ) ).
fof(dt_k15_index_1, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  (m5_index_1(B, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A), k7_isocat_1(A)) &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) &  (v3_cat_5(C) & l1_cat_1(C)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_cat_1(D) &  (v3_cat_1(D) &  (v4_cat_1(D) &  (v5_cat_1(D) &  (v6_cat_1(D) &  (v3_cat_5(D) & l1_cat_1(D)) ) ) ) ) ) ) )  & m2_cat_1(E, C, D)) ) ) )  => m5_index_1(k15_index_1(A, B, C, D, E), u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A), k7_isocat_1(A))) ) ).
fof(dt_k16_index_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  (m5_index_1(C, u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A), k7_isocat_1(A)) & m5_index_1(D, u1_struct_0(B), u4_struct_0(B), u1_graph_1(B), u2_graph_1(B), u1_cat_1(B), k7_isocat_1(B))) ) )  => m5_index_1(k16_index_1(A, B, C, D), u1_struct_0(A), u4_struct_0(A), u1_graph_1(A), u2_graph_1(A), u1_cat_1(A), k7_isocat_1(A))) ) ).
fof(cc1_instalg1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, u4_struct_0(A))) )  =>  (! [D] :  (m1_subset_1(D, k3_msualg_1(A, C, k11_msafree(A, B))) => v6_trees_3(D)) ) ) ) ).
fof(cc2_instalg1, axiom,  (! [A] :  (l1_msualg_1(A) =>  ( ~ (v2_struct_0(A))  => v1_instalg1(A)) ) ) ).
fof(cc3_instalg1, axiom,  (! [A] :  (l1_msualg_1(A) =>  (v11_struct_0(A) => v1_instalg1(A)) ) ) ).
fof(cc4_instalg1, axiom,  (! [A] :  (l1_msualg_1(A) =>  ( (v2_struct_0(A) & v1_instalg1(A))  => v11_struct_0(A)) ) ) ).
fof(cc5_instalg1, axiom,  (! [A] :  (l1_msualg_1(A) =>  ( ( ~ (v11_struct_0(A))  & v1_instalg1(A))  =>  ~ (v2_struct_0(A)) ) ) ) ).
fof(rc1_instalg1, axiom,  (? [A] :  (l1_msualg_1(A) &  ( ~ (v2_struct_0(A))  &  ~ (v11_struct_0(A)) ) ) ) ).
fof(cc6_instalg1, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  =>  (! [B] :  (m1_instalg1(B, A) => v1_instalg1(B)) ) ) ) ).
fof(rc2_instalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (? [B] :  (m1_instalg1(B, A) &  ( ~ (v2_struct_0(B))  & v1_instalg1(B)) ) ) ) ) ).
fof(rc3_instalg1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (? [B] :  (m1_instalg1(B, A) &  ( ~ (v11_struct_0(B))  & v1_instalg1(B)) ) ) ) ) ).
fof(fc1_instalg1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  &  ( ( ~ (v2_struct_0(B))  & m1_instalg1(B, A))  &  (v4_msualg_1(C, A) & l3_msualg_1(C, A)) ) )  =>  (v3_msualg_1(k2_instalg1(A, B, C), B) & v4_msualg_1(k2_instalg1(A, B, C), B)) ) ) ).
fof(fc2_instalg1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  => v2_relat_1(k13_msafree(A, B))) ) ).
fof(t1_instalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msaterm(D, A, C, k2_msaterm(A, C, B)) <=> m1_subset_1(D, k3_msualg_1(A, B, k11_msafree(A, C)))) ) ) ) ) ) ) ) ).
fof(t2_instalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (l3_msualg_1(C, A) =>  (r1_pzfmisc1(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  ~ ( ( ~ (k3_msualg_1(A, D, B)=k1_xboole_0)  & k3_msualg_1(A, D, C)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_instalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_subset_1(D, k3_msualg_1(A, B, k11_msafree(A, C))) => k3_funct_2(k3_msualg_1(A, B, k11_msafree(A, C)), k4_msualg_1(A, B, k11_msafree(A, C)), k5_msualg_1(A, B, k11_msafree(A, C)), D)=k4_trees_4(k4_tarski(B, u1_struct_0(A)), D)) ) ) ) ) ) ) ) ).
fof(t4_instalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (l3_msualg_1(C, A) =>  (g3_msualg_1(A, u3_msualg_1(A, B), u4_msualg_1(A, B))=g3_msualg_1(A, u3_msualg_1(A, C), u4_msualg_1(A, C)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) => k5_msualg_1(A, D, B)=k5_msualg_1(A, D, C)) ) ) ) ) ) ) ) ) ).
fof(t5_instalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (l3_msualg_1(D, A) =>  (! [E] :  (l3_msualg_1(E, A) =>  ( (g3_msualg_1(A, u3_msualg_1(A, B), u4_msualg_1(A, B))=g3_msualg_1(A, u3_msualg_1(A, D), u4_msualg_1(A, D)) & g3_msualg_1(A, u3_msualg_1(A, C), u4_msualg_1(A, C))=g3_msualg_1(A, u3_msualg_1(A, E), u4_msualg_1(A, E)))  =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (! [G] :  (m2_pboole(G, u1_struct_0(A), u3_msualg_1(A, D), u3_msualg_1(A, E)) =>  (r8_pboole(u1_struct_0(A), F, G) =>  (! [H] :  (m1_subset_1(H, u4_struct_0(A)) =>  ~ ( ( ~ (k3_msualg_1(A, H, B)=k1_xboole_0)  &  ( ~ (k3_msualg_1(A, H, C)=k1_xboole_0)  &  (? [I] :  (m1_subset_1(I, k3_msualg_1(A, H, B)) &  (? [J] :  (m1_subset_1(J, k3_msualg_1(A, H, D)) &  (I=J &  ~ (k5_msualg_3(A, B, C, H, F, I)=k5_msualg_3(A, D, E, H, G, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_instalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (l3_msualg_1(D, A) =>  (! [E] :  (l3_msualg_1(E, A) =>  ( (g3_msualg_1(A, u3_msualg_1(A, B), u4_msualg_1(A, B))=g3_msualg_1(A, u3_msualg_1(A, D), u4_msualg_1(A, D)) &  (g3_msualg_1(A, u3_msualg_1(A, C), u4_msualg_1(A, C))=g3_msualg_1(A, u3_msualg_1(A, E), u4_msualg_1(A, E)) & r1_pzfmisc1(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C))) )  =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  ~ ( (r1_msualg_3(A, B, C, F) &  (! [G] :  (m2_pboole(G, u1_struct_0(A), u3_msualg_1(A, D), u3_msualg_1(A, E)) =>  ~ ( (r8_pboole(u1_struct_0(A), G, F) & r1_msualg_3(A, D, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_instalg1, axiom,  (! [A] :  (l1_msualg_1(A) =>  (v1_instalg1(A) <=>  (u1_struct_0(A)=k1_xboole_0 => u4_struct_0(A)=k1_xboole_0) ) ) ) ).
fof(t7_instalg1, axiom,  (! [A] :  (l1_msualg_1(A) =>  (v1_instalg1(A) <=> k9_xtuple_0(u2_msualg_1(A))=u4_struct_0(A)) ) ) ).
fof(t8_instalg1, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  => r3_pua2mss1(A, A, k6_partfun1(u1_struct_0(A)), k6_partfun1(u4_struct_0(A)))) ) ).
fof(t9_instalg1, axiom,  (! [A] :  (l1_msualg_1(A) =>  (! [B] :  (l1_msualg_1(B) =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r3_pua2mss1(A, B, C, D) =>  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, u4_struct_0(A), u4_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_instalg1, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  =>  (! [B] :  (l1_msualg_1(B) =>  (m1_instalg1(B, A) <=> r3_pua2mss1(B, A, k6_partfun1(u1_struct_0(B)), k6_partfun1(u4_struct_0(B)))) ) ) ) ) ).
fof(t10_instalg1, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  =>  (! [B] :  (m1_instalg1(B, A) =>  (r1_tarski(u1_struct_0(B), u1_struct_0(A)) & r1_tarski(u4_struct_0(B), u4_struct_0(A))) ) ) ) ) ).
fof(t11_instalg1, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  =>  (! [B] :  (m1_instalg1(B, A) =>  (r1_tarski(u2_msualg_1(B), u2_msualg_1(A)) & r1_tarski(u1_msualg_1(B), u1_msualg_1(A))) ) ) ) ) ).
fof(t12_instalg1, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  =>  (! [B] :  (m1_instalg1(B, A) =>  (u1_msualg_1(B)=k2_partfun1(u4_struct_0(A), k3_finseq_2(u1_struct_0(A)), u1_msualg_1(A), u4_struct_0(B)) & u2_msualg_1(B)=k2_partfun1(u4_struct_0(A), u1_struct_0(A), u2_msualg_1(A), u4_struct_0(B))) ) ) ) ) ).
fof(t13_instalg1, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  =>  (! [B] :  ( (v1_instalg1(B) & l1_msualg_1(B))  =>  ( (r1_tarski(u1_struct_0(B), u1_struct_0(A)) &  (r1_tarski(u1_msualg_1(B), u1_msualg_1(A)) & r1_tarski(u2_msualg_1(B), u2_msualg_1(A))) )  => m1_instalg1(B, A)) ) ) ) ) ).
fof(t14_instalg1, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  =>  (! [B] :  ( (v1_instalg1(B) & l1_msualg_1(B))  =>  ( (r1_tarski(u1_struct_0(B), u1_struct_0(A)) &  (u1_msualg_1(B)=k2_partfun1(u4_struct_0(A), k3_finseq_2(u1_struct_0(A)), u1_msualg_1(A), u4_struct_0(B)) & u2_msualg_1(B)=k2_partfun1(u4_struct_0(A), u1_struct_0(A), u2_msualg_1(A), u4_struct_0(B))) )  => m1_instalg1(B, A)) ) ) ) ) ).
fof(t15_instalg1, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  => m1_instalg1(A, A)) ) ).
fof(t16_instalg1, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  =>  (! [B] :  (m1_instalg1(B, A) =>  (! [C] :  (m1_instalg1(C, B) => m1_instalg1(C, A)) ) ) ) ) ) ).
fof(t17_instalg1, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  =>  (! [B] :  (m1_instalg1(B, A) =>  (m1_instalg1(A, B) => g1_msualg_1(u1_struct_0(A), u4_struct_0(A), u1_msualg_1(A), u2_msualg_1(A))=g1_msualg_1(u1_struct_0(B), u4_struct_0(B), u1_msualg_1(B), u2_msualg_1(B))) ) ) ) ) ).
fof(t18_instalg1, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  =>  (! [B] :  (m1_instalg1(B, A) =>  (! [C] :  (l1_msualg_1(C) =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (r3_pua2mss1(A, C, D, E) => r3_pua2mss1(B, C, k5_relat_1(D, u1_struct_0(B)), k5_relat_1(E, u4_struct_0(B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_instalg1, axiom,  (! [A] :  (l1_msualg_1(A) =>  (! [B] :  ( (v1_instalg1(B) & l1_msualg_1(B))  =>  (! [C] :  (m1_instalg1(C, B) =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (r3_pua2mss1(A, C, D, E) => r3_pua2mss1(A, B, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_instalg1, axiom,  (! [A] :  (l1_msualg_1(A) =>  (! [B] :  ( (v1_instalg1(B) & l1_msualg_1(B))  =>  (! [C] :  (m1_instalg1(C, B) =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  ( (r3_pua2mss1(A, B, D, E) &  (r1_tarski(k10_xtuple_0(D), u1_struct_0(C)) & r1_tarski(k10_xtuple_0(E), u4_struct_0(C))) )  => r3_pua2mss1(A, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_instalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  (l3_msualg_1(C, B) =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (r3_pua2mss1(A, B, D, E) =>  (! [F] :  ( (v3_msualg_1(F, A) & l3_msualg_1(F, A))  =>  (F=k1_instalg1(A, B, C, D, E) <=>  (u3_msualg_1(A, F)=k3_relat_1(D, u3_msualg_1(B, C)) & u4_msualg_1(A, F)=k3_relat_1(E, u4_msualg_1(B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_instalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  (l3_msualg_1(C, A) => k2_instalg1(A, B, C)=k1_instalg1(B, A, C, k6_partfun1(u1_struct_0(B)), k6_partfun1(u4_struct_0(B)))) ) ) ) ) ) ).
fof(t21_instalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  (l3_msualg_1(C, B) =>  (! [D] :  (l3_msualg_1(D, B) =>  (g3_msualg_1(B, u3_msualg_1(B, C), u4_msualg_1(B, C))=g3_msualg_1(B, u3_msualg_1(B, D), u4_msualg_1(B, D)) =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  (r3_pua2mss1(A, B, E, F) => k1_instalg1(A, B, C, E, F)=k1_instalg1(A, B, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_instalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (r3_pua2mss1(A, B, D, E) => v4_msualg_1(k1_instalg1(A, B, C, D, E), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_instalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r3_pua2mss1(A, B, C, D) =>  (! [E] :  (l3_msualg_1(E, B) =>  (! [F] :  (m1_subset_1(F, u4_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u4_struct_0(B)) =>  (G=k1_funct_1(D, F) => k5_msualg_1(A, F, k1_instalg1(A, B, E, C, D))=k5_msualg_1(B, G, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_instalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r3_pua2mss1(A, B, C, D) =>  (! [E] :  (l3_msualg_1(E, B) =>  (! [F] :  (m1_subset_1(F, u4_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u4_struct_0(B)) =>  (G=k1_funct_1(D, F) =>  (k3_msualg_1(B, G, E)=k3_msualg_1(A, F, k1_instalg1(A, B, E, C, D)) & k4_msualg_1(A, F, k1_instalg1(A, B, E, C, D))=k4_msualg_1(B, G, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_instalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  (l3_msualg_1(B, A) => k1_instalg1(A, A, B, k6_partfun1(u1_struct_0(A)), k6_partfun1(u4_struct_0(A)))=g3_msualg_1(A, u3_msualg_1(A, B), u4_msualg_1(A, B))) ) ) ) ).
fof(t26_instalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  (l3_msualg_1(B, A) => k2_instalg1(A, A, B)=g3_msualg_1(A, u3_msualg_1(A, B), u4_msualg_1(A, B))) ) ) ) ).
fof(t27_instalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_msualg_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (r3_pua2mss1(A, B, D, E) =>  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  (! [G] :  ( (v1_relat_1(G) & v1_funct_1(G))  =>  (r3_pua2mss1(B, C, F, G) =>  (! [H] :  (l3_msualg_1(H, C) => k1_instalg1(A, C, H, k3_relat_1(D, F), k3_relat_1(E, G))=k1_instalg1(A, B, k1_instalg1(B, C, H, F, G), D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_instalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m1_instalg1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & m1_instalg1(C, B))  =>  (! [D] :  (l3_msualg_1(D, A) => k2_instalg1(A, C, D)=k2_instalg1(B, C, k2_instalg1(A, B, D))) ) ) ) ) ) ) ) ).
fof(t29_instalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r3_pua2mss1(A, B, C, D) =>  (! [E] :  (l3_msualg_1(E, B) =>  (! [F] :  (l3_msualg_1(F, B) =>  (! [G] :  (m2_pboole(G, u1_struct_0(B), u3_msualg_1(B, E), u3_msualg_1(B, F)) => m2_pboole(k3_relat_1(C, G), u1_struct_0(A), u3_msualg_1(A, k1_instalg1(A, B, E, C, D)), u3_msualg_1(A, k1_instalg1(A, B, F, C, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_instalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m1_instalg1(B, A))  =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (l3_msualg_1(D, A) =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D)) => m2_pboole(k5_relat_1(E, u1_struct_0(B)), u1_struct_0(B), u3_msualg_1(B, k2_instalg1(A, B, C)), u3_msualg_1(B, k2_instalg1(A, B, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t31_instalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r3_pua2mss1(A, B, C, D) =>  (! [E] :  (l3_msualg_1(E, B) => k3_relat_1(C, k2_msualg_3(u1_struct_0(B), u3_msualg_1(B, E)))=k2_msualg_3(u1_struct_0(A), u3_msualg_1(A, k1_instalg1(A, B, E, C, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_instalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m1_instalg1(B, A))  =>  (! [C] :  (l3_msualg_1(C, A) => k5_relat_1(k2_msualg_3(u1_struct_0(A), u3_msualg_1(A, C)), u1_struct_0(B))=k2_msualg_3(u1_struct_0(B), u3_msualg_1(B, k2_instalg1(A, B, C)))) ) ) ) ) ) ).
fof(t33_instalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r3_pua2mss1(A, B, C, D) =>  (! [E] :  (l3_msualg_1(E, B) =>  (! [F] :  (l3_msualg_1(F, B) =>  (! [G] :  (m2_pboole(G, u1_struct_0(B), u3_msualg_1(B, E), u3_msualg_1(B, F)) =>  (! [H] :  (m2_pboole(H, u1_struct_0(A), u3_msualg_1(A, k1_instalg1(A, B, E, C, D)), u3_msualg_1(A, k1_instalg1(A, B, F, C, D))) =>  (H=k3_relat_1(C, G) =>  (! [I] :  (m1_subset_1(I, u4_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u4_struct_0(B)) =>  (J=k1_funct_1(D, I) =>  (k3_msualg_1(B, J, E)=k1_xboole_0 |  (k3_msualg_1(B, J, F)=k1_xboole_0 |  (! [K] :  (m1_subset_1(K, k3_msualg_1(B, J, E)) =>  (! [L] :  (m1_subset_1(L, k3_msualg_1(A, I, k1_instalg1(A, B, E, C, D))) =>  (K=L => k5_msualg_3(A, k1_instalg1(A, B, E, C, D), k1_instalg1(A, B, F, C, D), I, H, L)=k5_msualg_3(B, E, F, J, G, K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_instalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (l3_msualg_1(D, A) =>  (r1_pzfmisc1(u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D)) =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D)) =>  (r1_msualg_3(A, C, D, E) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (! [G] :  ( (v1_relat_1(G) & v1_funct_1(G))  =>  ~ ( (r3_pua2mss1(B, A, F, G) &  (! [H] :  (m2_pboole(H, u1_struct_0(B), u3_msualg_1(B, k1_instalg1(B, A, C, F, G)), u3_msualg_1(B, k1_instalg1(B, A, D, F, G))) =>  ~ ( (r8_pboole(u1_struct_0(B), H, k3_relat_1(F, E)) & r1_msualg_3(B, k1_instalg1(B, A, C, F, G), k1_instalg1(B, A, D, F, G), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_instalg1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v11_struct_0(B))  & m1_instalg1(B, A))  =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (l3_msualg_1(D, A) =>  (r1_pzfmisc1(u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D)) =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D)) =>  ~ ( (r1_msualg_3(A, C, D, E) &  (! [F] :  (m2_pboole(F, u1_struct_0(B), u3_msualg_1(B, k2_instalg1(A, B, C)), u3_msualg_1(B, k2_instalg1(A, B, D))) =>  ~ ( (F=k5_relat_1(E, u1_struct_0(B)) & r1_msualg_3(B, k2_instalg1(A, B, C), k2_instalg1(A, B, D), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_instalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (r3_pua2mss1(B, A, D, E) =>  (! [F] :  ( (v4_msualg_1(F, B) & l3_msualg_1(F, B))  =>  (F=k1_instalg1(B, A, C, D, E) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  (! [I] :  ( (v1_relat_1(I) & v1_funct_1(I))  =>  (r1_msualg_6(B, G, H, F, I) => r1_msualg_6(A, k3_funct_2(u1_struct_0(B), u1_struct_0(A), D, G), k3_funct_2(u1_struct_0(B), u1_struct_0(A), D, H), C, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_instalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r3_pua2mss1(B, A, C, D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (r1_rewrite1(k3_msualg_6(B), E, F) => r1_rewrite1(k3_msualg_6(A), k3_funct_2(u1_struct_0(B), u1_struct_0(A), C, E), k3_funct_2(u1_struct_0(B), u1_struct_0(A), C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_instalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (r3_pua2mss1(B, A, D, E) =>  (! [F] :  ( (v4_msualg_1(F, B) & l3_msualg_1(F, B))  =>  (F=k1_instalg1(B, A, C, D, E) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  (r1_rewrite1(k3_msualg_6(B), G, H) =>  (! [I] :  (m2_msualg_6(I, B, F, G, H) => m2_msualg_6(I, A, C, k3_funct_2(u1_struct_0(B), u1_struct_0(A), D, G), k3_funct_2(u1_struct_0(B), u1_struct_0(A), D, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_instalg1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  (m3_pboole(D, A, B) =>  (! [E] :  (m2_pboole(E, A, B, C) =>  (! [F] :  (r2_tarski(F, A) =>  (! [G] :  ( (v1_relat_1(G) & v1_funct_1(G))  =>  (! [H] :  ( (v1_relat_1(H) & v1_funct_1(H))  =>  ( (G=k1_funct_1(E, F) & H=k1_funct_1(k1_msafree(A, B, C, D, E), F))  =>  (! [I] :  (r2_tarski(I, k1_funct_1(D, F)) => k1_funct_1(H, I)=k1_funct_1(G, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_instalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (r3_pua2mss1(A, B, D, E) =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), u3_msualg_1(A, k11_msafree(A, k3_relat_1(D, C))), u3_msualg_1(A, k1_instalg1(A, B, k11_msafree(B, C), D, E))) =>  (F=k3_instalg1(A, B, C, D, E) <=>  (r1_msualg_3(A, k11_msafree(A, k3_relat_1(D, C)), k1_instalg1(A, B, k11_msafree(B, C), D, E), F) &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, k1_funct_1(k3_relat_1(D, C), G)) => k1_funct_1(k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, k11_msafree(A, k3_relat_1(D, C))), u3_msualg_1(A, k1_instalg1(A, B, k11_msafree(B, C), D, E)), F, G), k1_trees_4(k4_tarski(H, G)))=k1_trees_4(k4_tarski(H, k3_funct_2(u1_struct_0(A), u1_struct_0(B), D, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_instalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (r3_pua2mss1(A, B, D, E) =>  (! [F] :  (m1_subset_1(F, u4_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, k3_msualg_1(A, F, k11_msafree(A, k3_relat_1(D, C)))) =>  (! [H] :  ( (v1_relat_1(H) &  (v1_funct_1(H) & v1_finseq_1(H)) )  =>  (H=k5_msualg_3(A, k11_msafree(A, k3_relat_1(D, C)), k1_instalg1(A, B, k11_msafree(B, C), D, E), F, k3_instalg1(A, B, C, D, E), G) => k1_funct_1(k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, k11_msafree(A, k3_relat_1(D, C))), u3_msualg_1(A, k1_instalg1(A, B, k11_msafree(B, C), D, E)), k3_instalg1(A, B, C, D, E), k2_msualg_1(A, F)), k4_trees_4(k4_tarski(F, u1_struct_0(A)), G))=k4_trees_4(k4_tarski(k1_funct_1(E, F), u1_struct_0(B)), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_instalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (r3_pua2mss1(A, B, D, E) =>  (! [F] :  (m1_dtconstr(F, u1_struct_0(k5_msafree(A, k3_relat_1(D, C))), k5_trees_3(u1_struct_0(k5_msafree(A, k3_relat_1(D, C)))), k1_msaterm(A, k3_relat_1(D, C))) =>  (m2_msaterm(k1_funct_1(k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, k11_msafree(A, k3_relat_1(D, C))), u3_msualg_1(A, k1_instalg1(A, B, k11_msafree(B, C), D, E)), k3_instalg1(A, B, C, D, E), k7_msaterm(A, k3_relat_1(D, C), F)), F), B, C) <=> m2_msaterm(F, A, k3_relat_1(D, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_instalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v2_funct_1(E)) )  =>  (r3_pua2mss1(A, B, D, E) => r3_msualg_3(A, k11_msafree(A, k3_relat_1(D, C)), k1_instalg1(A, B, k11_msafree(B, C), D, E), k3_instalg1(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_instalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  => r8_pboole(u1_struct_0(A), k3_instalg1(A, A, B, k6_partfun1(u1_struct_0(A)), k6_partfun1(u4_struct_0(A))), k2_msualg_3(u1_struct_0(A), u3_msualg_1(A, k11_msafree(A, B))))) ) ) ) ).
fof(t44_instalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  & l1_msualg_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, u1_struct_0(C)) &  (v1_funct_1(D) & v1_partfun1(D, u1_struct_0(C))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  (r3_pua2mss1(A, B, E, F) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (! [H] :  ( (v1_relat_1(H) & v1_funct_1(H))  =>  (r3_pua2mss1(B, C, G, H) => k3_instalg1(A, C, D, k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), E, G), k3_relat_1(F, H))=k8_pboole(k3_instalg1(A, B, k3_relat_1(G, D), E, F), k3_relat_1(E, k3_instalg1(B, C, D, G, H)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_instalg1, axiom,  ( (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s1_instalg1)) =>  (! [B] :  (m1_subset_1(B, k1_funct_1(f3_s1_instalg1, A)) => r2_tarski(f4_s1_instalg1(B, A), k1_funct_1(u3_msualg_1(f1_s1_instalg1, f2_s1_instalg1), A))) ) ) )  =>  (? [A] :  (m2_pboole(A, u1_struct_0(f1_s1_instalg1), u3_msualg_1(f1_s1_instalg1, k11_msafree(f1_s1_instalg1, f3_s1_instalg1)), u3_msualg_1(f1_s1_instalg1, f2_s1_instalg1)) &  (r1_msualg_3(f1_s1_instalg1, k11_msafree(f1_s1_instalg1, f3_s1_instalg1), f2_s1_instalg1, A) &  (! [B] :  (m1_subset_1(B, u1_struct_0(f1_s1_instalg1)) =>  (! [C] :  (m1_subset_1(C, k1_funct_1(f3_s1_instalg1, B)) => k1_funct_1(k1_msualg_3(u1_struct_0(f1_s1_instalg1), u3_msualg_1(f1_s1_instalg1, k11_msafree(f1_s1_instalg1, f3_s1_instalg1)), u3_msualg_1(f1_s1_instalg1, f2_s1_instalg1), A, B), k1_trees_4(k4_tarski(C, B)))=f4_s1_instalg1(C, B)) ) ) ) ) ) ) ) ).
fof(dt_m1_instalg1, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  =>  (! [B] :  (m1_instalg1(B, A) => l1_msualg_1(B)) ) ) ) ).
fof(existence_m1_instalg1, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  =>  (? [B] : m1_instalg1(B, A)) ) ) ).
fof(dt_k1_instalg1, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  &  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  &  (l3_msualg_1(C, B) &  ( (v1_relat_1(D) & v1_funct_1(D))  &  (v1_relat_1(E) & v1_funct_1(E)) ) ) ) )  =>  (v3_msualg_1(k1_instalg1(A, B, C, D, E), A) & l3_msualg_1(k1_instalg1(A, B, C, D, E), A)) ) ) ).
fof(dt_k2_instalg1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  &  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  & l3_msualg_1(C, A)) )  =>  (v3_msualg_1(k2_instalg1(A, B, C), B) & l3_msualg_1(k2_instalg1(A, B, C), B)) ) ) ).
fof(dt_f1_s1_instalg1, axiom,  ( ~ (v2_struct_0(f1_s1_instalg1))  &  ( ~ (v11_struct_0(f1_s1_instalg1))  & l1_msualg_1(f1_s1_instalg1)) ) ).
fof(dt_f2_s1_instalg1, axiom,  (v4_msualg_1(f2_s1_instalg1, f1_s1_instalg1) & l3_msualg_1(f2_s1_instalg1, f1_s1_instalg1)) ).
fof(dt_f3_s1_instalg1, axiom,  (v1_relat_1(f3_s1_instalg1) &  (v2_relat_1(f3_s1_instalg1) &  (v4_relat_1(f3_s1_instalg1, u1_struct_0(f1_s1_instalg1)) &  (v1_funct_1(f3_s1_instalg1) & v1_partfun1(f3_s1_instalg1, u1_struct_0(f1_s1_instalg1))) ) ) ) ).
fof(dt_k3_instalg1, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  &  (v1_relat_1(E) & v1_funct_1(E)) ) ) ) )  => m2_pboole(k3_instalg1(A, B, C, D, E), u1_struct_0(A), u3_msualg_1(A, k11_msafree(A, k3_relat_1(D, C))), u3_msualg_1(A, k1_instalg1(A, B, k11_msafree(B, C), D, E)))) ) ).
fof(rc1_int_1, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) & v1_int_1(A)) ) ) ) ).
fof(rc2_int_1, axiom,  (? [A] : v1_int_1(A)) ).
fof(cc1_int_1, axiom,  (! [A] :  (m1_subset_1(A, k4_numbers) => v1_int_1(A)) ) ).
fof(cc2_int_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_int_1(A)) ) ).
fof(cc3_int_1, axiom,  (! [A] :  (v1_int_1(A) => v1_xreal_0(A)) ) ).
fof(fc1_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k2_xcmplx_0(A, B))) ) ).
fof(fc2_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k3_xcmplx_0(A, B))) ) ).
fof(fc3_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (v1_xcmplx_0(k4_xcmplx_0(A)) & v1_int_1(k4_xcmplx_0(A))) ) ) ).
fof(fc4_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k6_xcmplx_0(A, B))) ) ).
fof(fc5_int_1, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xreal_0(k3_int_1(A))) ) ).
fof(rd1_int_1, axiom,  (! [A] :  (v1_int_1(A) => k10_subset_1(A, k4_numbers)=A) ) ).
fof(cc4_int_1, axiom,  (! [A] :  (v7_ordinal1(A) => v2_int_1(A)) ) ).
fof(cc5_int_1, axiom,  (! [A] :  (v2_int_1(A) => v1_int_1(A)) ) ).
fof(fc6_int_1, axiom, v2_int_1(k4_xcmplx_0(1))).
fof(rc3_int_1, axiom,  (? [A] : v2_int_1(A)) ).
fof(fc7_int_1, axiom,  (! [A] :  (v2_int_1(A) => v7_ordinal1(k2_xcmplx_0(A, 1))) ) ).
fof(fc8_int_1, axiom,  (! [A, B] :  ( (v2_int_1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => v7_ordinal1(k2_xcmplx_0(A, B))) ) ).
fof(d1_int_1, axiom,  (! [A] :  (A=k4_numbers <=>  (! [B] :  (r2_hidden(B, A) <=>  ~ ( (! [C] :  (v7_ordinal1(C) =>  ( ~ (B=C)  &  ~ (B=k4_xcmplx_0(C)) ) ) ) ) ) ) ) ) ).
fof(d2_int_1, axiom,  (! [A] :  (v1_int_1(A) <=> r2_hidden(A, k4_numbers)) ) ).
fof(t1_int_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (A=B | A=k4_xcmplx_0(B))  => v1_int_1(A)) ) ) ) ) ).
fof(t2_int_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( (v1_int_1(A) &  (! [B] :  (v7_ordinal1(B) =>  ( ~ (A=B)  &  ~ (A=k4_xcmplx_0(B)) ) ) ) ) ) ) ) ).
fof(t3_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (r1_xxreal_0(k5_numbers, A) => r2_hidden(A, k4_ordinal1)) ) ) ).
fof(t4_int_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_int_1(A) =>  (v1_int_1(k2_xcmplx_0(A, 1)) & v1_int_1(k6_xcmplx_0(A, 1))) ) ) ) ).
fof(t5_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (r1_xxreal_0(B, A) => r2_tarski(k6_xcmplx_0(A, B), k4_ordinal1)) ) ) ) ) ).
fof(t6_int_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (k2_xcmplx_0(B, A)=C => r1_xxreal_0(B, C)) ) ) ) ) ) ) ).
fof(t7_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  ( ~ (r1_xxreal_0(B, A))  => r1_xxreal_0(k2_xcmplx_0(A, 1), B)) ) ) ) ) ).
fof(t8_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  ( ~ (r1_xxreal_0(k5_numbers, A))  => r1_xxreal_0(A, k4_xcmplx_0(1))) ) ) ).
fof(t9_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (k3_xcmplx_0(A, B)=1 <=>  ( (A=1 & B=1)  |  (A=k4_xcmplx_0(1) & B=k4_xcmplx_0(1)) ) ) ) ) ) ) ).
fof(t10_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (k3_xcmplx_0(A, B)=k4_xcmplx_0(1) <=>  ( (A=k4_xcmplx_0(1) & B=1)  |  (A=1 & B=k4_xcmplx_0(1)) ) ) ) ) ) ) ).
fof(d3_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (r1_int_1(A, B) <=>  (? [C] :  (v1_int_1(C) & B=k3_xcmplx_0(A, C)) ) ) ) ) ) ) ).
fof(d4_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (r2_int_1(A, B, C) <=> r1_int_1(C, k6_xcmplx_0(A, B))) ) ) ) ) ) ) ).
fof(d5_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (r2_int_1(A, B, C) <=>  (? [D] :  (v1_int_1(D) & k3_xcmplx_0(C, D)=k6_xcmplx_0(A, B)) ) ) ) ) ) ) ) ) ).
fof(t11_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) => r2_int_1(A, A, B)) ) ) ) ).
fof(t12_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (r2_int_1(A, k5_numbers, A) & r2_int_1(k5_numbers, A, A)) ) ) ).
fof(t13_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) => r2_int_1(A, B, 1)) ) ) ) ).
fof(t14_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (r2_int_1(A, B, C) => r2_int_1(B, A, C)) ) ) ) ) ) ) ).
fof(t15_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  ( (r2_int_1(A, B, D) & r2_int_1(B, C, D))  => r2_int_1(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t16_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  (! [E] :  (v1_int_1(E) =>  ( (r2_int_1(A, B, E) & r2_int_1(C, D, E))  => r2_int_1(k2_xcmplx_0(A, C), k2_xcmplx_0(B, D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  (! [E] :  (v1_int_1(E) =>  ( (r2_int_1(A, B, E) & r2_int_1(C, D, E))  => r2_int_1(k6_xcmplx_0(A, C), k6_xcmplx_0(B, D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  (! [E] :  (v1_int_1(E) =>  ( (r2_int_1(A, B, E) & r2_int_1(C, D, E))  => r2_int_1(k3_xcmplx_0(A, C), k3_xcmplx_0(B, D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  (r2_int_1(k2_xcmplx_0(A, B), C, D) <=> r2_int_1(A, k6_xcmplx_0(C, B), D)) ) ) ) ) ) ) ) ) ).
fof(t20_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  (! [E] :  (v1_int_1(E) =>  ( (k3_xcmplx_0(D, E)=C & r2_int_1(A, B, C))  => r2_int_1(A, B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (r2_int_1(A, B, C) <=> r2_int_1(k2_xcmplx_0(A, C), B, C)) ) ) ) ) ) ) ).
fof(t22_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (r2_int_1(A, B, C) <=> r2_int_1(k6_xcmplx_0(A, C), B, C)) ) ) ) ) ) ) ).
fof(t23_int_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ( (r1_xxreal_0(B, A) & r1_xxreal_0(C, A))  =>  (r1_xxreal_0(B, k6_xcmplx_0(A, 1)) |  (r1_xxreal_0(C, k6_xcmplx_0(A, 1)) | B=C) ) ) ) ) ) ) ) ) ).
fof(t24_int_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ( (r1_xxreal_0(A, B) & r1_xxreal_0(A, C))  =>  (r1_xxreal_0(k2_xcmplx_0(A, 1), B) |  (r1_xxreal_0(k2_xcmplx_0(A, 1), C) | B=C) ) ) ) ) ) ) ) ) ).
fof(d6_int_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_int_1(B) =>  (B=k1_int_1(A) <=>  (r1_xxreal_0(B, A) &  ~ (r1_xxreal_0(B, k6_xcmplx_0(A, 1))) ) ) ) ) ) ) ).
fof(t25_int_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (k1_int_1(A)=A <=> v1_int_1(A)) ) ) ).
fof(t26_int_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ ( ( ~ (r1_xxreal_0(A, k1_int_1(A)))  & v1_int_1(A)) )  &  ~ ( ( ~ (v1_int_1(A))  & r1_xxreal_0(A, k1_int_1(A))) ) ) ) ) ).
fof(t27_int_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (r1_xxreal_0(A, k6_xcmplx_0(k1_int_1(A), 1)))  &  ~ (r1_xxreal_0(k2_xcmplx_0(A, 1), k1_int_1(A))) ) ) ) ).
fof(t28_int_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_int_1(B) => k2_xcmplx_0(k1_int_1(A), B)=k1_int_1(k2_xcmplx_0(A, B))) ) ) ) ).
fof(t29_int_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ (r1_xxreal_0(k2_xcmplx_0(k1_int_1(A), 1), A)) ) ) ).
fof(d7_int_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_int_1(B) =>  (B=k2_int_1(A) <=>  (r1_xxreal_0(A, B) &  ~ (r1_xxreal_0(k2_xcmplx_0(A, 1), B)) ) ) ) ) ) ) ).
fof(t30_int_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (k2_int_1(A)=A <=> v1_int_1(A)) ) ) ).
fof(t31_int_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ ( ( ~ (r1_xxreal_0(k2_int_1(A), A))  & v1_int_1(A)) )  &  ~ ( ( ~ (v1_int_1(A))  & r1_xxreal_0(k2_int_1(A), A)) ) ) ) ) ).
fof(t32_int_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (r1_xxreal_0(k2_int_1(A), k6_xcmplx_0(A, 1)))  &  ~ (r1_xxreal_0(k2_xcmplx_0(k2_int_1(A), 1), A)) ) ) ) ).
fof(t33_int_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_int_1(B) => k2_xcmplx_0(k2_int_1(A), B)=k2_int_1(k2_xcmplx_0(A, B))) ) ) ) ).
fof(t34_int_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (k1_int_1(A)=k2_int_1(A) <=> v1_int_1(A)) ) ) ).
fof(t35_int_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ ( ( ~ (r1_xxreal_0(k2_int_1(A), k1_int_1(A)))  & v1_int_1(A)) )  &  ~ ( ( ~ (v1_int_1(A))  & r1_xxreal_0(k2_int_1(A), k1_int_1(A))) ) ) ) ) ).
fof(t36_int_1, axiom,  (! [A] :  (v1_xreal_0(A) => r1_xxreal_0(k1_int_1(A), k2_int_1(A))) ) ).
fof(t37_int_1, axiom,  (! [A] :  (v1_xreal_0(A) => k1_int_1(k2_int_1(A))=k2_int_1(A)) ) ).
fof(t40_int_1, axiom,  (! [A] :  (v1_xreal_0(A) => k2_int_1(k1_int_1(A))=k1_int_1(A)) ) ).
fof(t41_int_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (k1_int_1(A)=k2_int_1(A) <=>  ~ (k2_xcmplx_0(k1_int_1(A), 1)=k2_int_1(A)) ) ) ) ).
fof(d8_int_1, axiom,  (! [A] :  (v1_xreal_0(A) => k3_int_1(A)=k6_xcmplx_0(A, k1_int_1(A))) ) ).
fof(t42_int_1, axiom,  (! [A] :  (v1_xreal_0(A) => A=k2_xcmplx_0(k1_int_1(A), k3_int_1(A))) ) ).
fof(t43_int_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (r1_xxreal_0(1, k3_int_1(A)))  & r1_xxreal_0(k5_numbers, k3_int_1(A))) ) ) ).
fof(t44_int_1, axiom,  (! [A] :  (v1_xreal_0(A) => k1_int_1(k3_int_1(A))=k5_numbers) ) ).
fof(t45_int_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (k3_int_1(A)=k5_numbers <=> v1_int_1(A)) ) ) ).
fof(t46_int_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ ( ( ~ (r1_xxreal_0(k3_int_1(A), k5_numbers))  & v1_int_1(A)) )  &  ~ ( ( ~ (v1_int_1(A))  & r1_xxreal_0(k3_int_1(A), k5_numbers)) ) ) ) ) ).
fof(d9_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) => k4_int_1(A, B)=k1_int_1(k7_xcmplx_0(A, B))) ) ) ) ).
fof(d10_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  ( ( ~ (B=k5_numbers)  => k5_int_1(A, B)=k6_xcmplx_0(A, k3_xcmplx_0(k4_int_1(A, B), B)))  &  (B=k5_numbers => k5_int_1(A, B)=k5_numbers) ) ) ) ) ) ).
fof(t47_int_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (A=k5_numbers)  => k1_int_1(k7_xcmplx_0(A, A))=1) ) ) ).
fof(t48_int_1, axiom,  (! [A] :  (v1_int_1(A) => k4_int_1(A, k5_numbers)=k5_numbers) ) ).
fof(t49_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  ( ~ (A=k5_numbers)  => k4_int_1(A, A)=1) ) ) ).
fof(t50_int_1, axiom,  (! [A] :  (v1_int_1(A) => k5_int_1(A, A)=k5_numbers) ) ).
fof(t51_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ ( (C=k6_xcmplx_0(B, A) & r1_xxreal_0(1, C)) ) ) ) ) ) ) ) ) ) ).
fof(t52_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  ( ~ (r1_xxreal_0(B, A))  => r1_xxreal_0(A, k6_xcmplx_0(B, 1))) ) ) ) ) ).
fof(t53_int_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r1_xxreal_0(k5_numbers, A) =>  (r1_xxreal_0(k5_numbers, k2_int_1(A)) &  (r1_xxreal_0(k5_numbers, k1_int_1(A)) &  (m1_subset_1(k2_int_1(A), k4_ordinal1) & m1_subset_1(k1_int_1(A), k4_ordinal1)) ) ) ) ) ) ).
fof(t54_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) => r1_xxreal_0(A, k1_int_1(B))) ) ) ) ) ).
fof(t55_int_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => r1_xxreal_0(k5_numbers, k4_int_1(A, B))) ) ) ) ).
fof(t56_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(B, 1))  & r1_xxreal_0(A, k4_int_1(A, B))) ) ) ) ) ) ) ).
fof(t57_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (r1_xxreal_0(k5_numbers, B) => r1_xxreal_0(k5_numbers, k5_int_1(A, B))) ) ) ) ) ).
fof(t58_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  & r1_xxreal_0(B, k5_int_1(A, B))) ) ) ) ) ) ).
fof(t59_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  ( ~ (B=k5_numbers)  => A=k2_xcmplx_0(k3_xcmplx_0(k4_int_1(A, B), B), k5_int_1(A, B))) ) ) ) ) ).
fof(t60_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) => r2_int_1(k3_xcmplx_0(A, B), k5_numbers, A)) ) ) ) ).
fof(t61_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  ( (r1_xxreal_0(k5_numbers, A) & r1_xxreal_0(k5_numbers, B))  => r1_xxreal_0(k5_numbers, k4_int_1(A, B))) ) ) ) ) ).
fof(t62_int_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  =>  (! [B] :  (v1_int_1(B) =>  (k5_int_1(B, A)=k5_numbers <=> r1_int_1(A, B)) ) ) ) ) ) ).
fof(t63_int_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (v1_int_1(k7_xcmplx_0(A, B)))  => k4_xcmplx_0(k1_int_1(k7_xcmplx_0(A, B)))=k2_xcmplx_0(k1_int_1(k7_xcmplx_0(k4_xcmplx_0(A), B)), 1)) ) ) ) ) ).
fof(t64_int_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (v1_int_1(k7_xcmplx_0(A, B)) => k4_xcmplx_0(k1_int_1(k7_xcmplx_0(A, B)))=k1_int_1(k7_xcmplx_0(k4_xcmplx_0(A), B))) ) ) ) ) ).
fof(t65_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(B, A) => r1_xxreal_0(k2_int_1(B), A)) ) ) ) ) ).
fof(t66_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_xreal_0(B) => k3_int_1(k2_xcmplx_0(B, A))=k3_int_1(B)) ) ) ) ).
fof(t67_int_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(B, A) =>  (r1_xxreal_0(k2_xcmplx_0(k1_int_1(B), 1), A) | k1_int_1(A)=k1_int_1(B)) ) ) ) ) ) ).
fof(t68_int_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(B, A) =>  (r1_xxreal_0(k2_xcmplx_0(k1_int_1(B), 1), A) | r1_xxreal_0(k3_int_1(B), k3_int_1(A))) ) ) ) ) ) ).
fof(t69_int_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (r1_xxreal_0(k2_xcmplx_0(k1_int_1(B), 1), A))  & r1_xxreal_0(k3_int_1(A), k3_int_1(B))) ) ) ) ) ) ) ).
fof(t70_int_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_xxreal_0(k2_xcmplx_0(k1_int_1(B), 1), A) & r1_xxreal_0(A, k2_xcmplx_0(B, 1)))  => k1_int_1(A)=k2_xcmplx_0(k1_int_1(B), 1)) ) ) ) ) ).
fof(t71_int_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(k2_xcmplx_0(k1_int_1(B), 1), A) &  ( ~ (r1_xxreal_0(k2_xcmplx_0(B, 1), A))  & r1_xxreal_0(k3_int_1(B), k3_int_1(A))) ) ) ) ) ) ) ).
fof(t72_int_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_xxreal_0(C, A) &  (r1_xxreal_0(C, B) & k3_int_1(A)=k3_int_1(B)) )  =>  (r1_xxreal_0(k2_xcmplx_0(C, 1), A) |  (r1_xxreal_0(k2_xcmplx_0(C, 1), B) | A=B) ) ) ) ) ) ) ) ) ).
fof(d11_int_1, axiom,  (! [A] :  (v2_int_1(A) <=>  (A=k4_xcmplx_0(1) | v7_ordinal1(A)) ) ) ).
fof(t73_int_1, axiom,  (! [A] :  (v1_int_1(A) => k5_numbers=k5_int_1(k5_numbers, A)) ) ).
fof(s1_int_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k4_numbers)) &  (! [B] :  (v1_int_1(B) =>  (r2_hidden(B, A) <=> p1_s1_int_1(B)) ) ) ) ) ).
fof(s2_int_1, axiom,  ( (p1_s2_int_1(f1_s2_int_1) &  (! [A] :  (v1_int_1(A) =>  ( (r1_xxreal_0(f1_s2_int_1, A) & p1_s2_int_1(A))  => p1_s2_int_1(k2_xcmplx_0(A, 1))) ) ) )  =>  (! [A] :  (v1_int_1(A) =>  (r1_xxreal_0(f1_s2_int_1, A) => p1_s2_int_1(A)) ) ) ) ).
fof(s3_int_1, axiom,  ( (p1_s3_int_1(f1_s3_int_1) &  (! [A] :  (v1_int_1(A) =>  ( (r1_xxreal_0(A, f1_s3_int_1) & p1_s3_int_1(A))  => p1_s3_int_1(k6_xcmplx_0(A, 1))) ) ) )  =>  (! [A] :  (v1_int_1(A) =>  (r1_xxreal_0(A, f1_s3_int_1) => p1_s3_int_1(A)) ) ) ) ).
fof(s4_int_1, axiom,  ( (p1_s4_int_1(f1_s4_int_1) &  (! [A] :  (v1_int_1(A) =>  (p1_s4_int_1(A) =>  (p1_s4_int_1(k6_xcmplx_0(A, 1)) & p1_s4_int_1(k2_xcmplx_0(A, 1))) ) ) ) )  =>  (! [A] :  (v1_int_1(A) => p1_s4_int_1(A)) ) ) ).
fof(s5_int_1, axiom,  ( ( (! [A] :  (v1_int_1(A) =>  (p1_s5_int_1(A) => r1_xxreal_0(f1_s5_int_1, A)) ) )  &  (? [A] :  (v1_int_1(A) & p1_s5_int_1(A)) ) )  =>  (? [A] :  (v1_int_1(A) &  (p1_s5_int_1(A) &  (! [B] :  (v1_int_1(B) =>  (p1_s5_int_1(B) => r1_xxreal_0(A, B)) ) ) ) ) ) ) ).
fof(s6_int_1, axiom,  ( ( (! [A] :  (v1_int_1(A) =>  (p1_s6_int_1(A) => r1_xxreal_0(A, f1_s6_int_1)) ) )  &  (? [A] :  (v1_int_1(A) & p1_s6_int_1(A)) ) )  =>  (? [A] :  (v1_int_1(A) &  (p1_s6_int_1(A) &  (! [B] :  (v1_int_1(B) =>  (p1_s6_int_1(B) => r1_xxreal_0(B, A)) ) ) ) ) ) ) ).
fof(s7_int_1, axiom,  ( (p1_s7_int_1(f1_s7_int_1) &  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ( (r1_xxreal_0(f1_s7_int_1, A) & p1_s7_int_1(A))  =>  (r1_xxreal_0(f2_s7_int_1, A) | p1_s7_int_1(k1_nat_1(A, 1))) ) ) ) )  =>  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ( (r1_xxreal_0(f1_s7_int_1, A) & r1_xxreal_0(A, f2_s7_int_1))  => p1_s7_int_1(A)) ) ) ) ).
fof(s8_int_1, axiom,  ( (p1_s8_int_1(f1_s8_int_1) &  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ( (r1_xxreal_0(f1_s8_int_1, A) &  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ( (r1_xxreal_0(f1_s8_int_1, B) & r1_xxreal_0(B, A))  => p1_s8_int_1(B)) ) ) )  =>  (r1_xxreal_0(f2_s8_int_1, A) | p1_s8_int_1(k1_nat_1(A, 1))) ) ) ) )  =>  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ( (r1_xxreal_0(f1_s8_int_1, A) & r1_xxreal_0(A, f2_s8_int_1))  => p1_s8_int_1(A)) ) ) ) ).
fof(dt_f1_s2_int_1, axiom, v1_int_1(f1_s2_int_1)).
fof(dt_f1_s3_int_1, axiom, v1_int_1(f1_s3_int_1)).
fof(dt_f1_s4_int_1, axiom, v1_int_1(f1_s4_int_1)).
fof(dt_f1_s5_int_1, axiom, v1_int_1(f1_s5_int_1)).
fof(dt_f1_s6_int_1, axiom, v1_int_1(f1_s6_int_1)).
fof(reflexivity_r1_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => r1_int_1(A, A)) ) ).
fof(dt_k1_int_1, axiom,  (! [A] :  (v1_xreal_0(A) => v1_int_1(k1_int_1(A))) ) ).
fof(projectivity_k1_int_1, axiom,  (! [A] :  (v1_xreal_0(A) => k1_int_1(k1_int_1(A))=k1_int_1(A)) ) ).
fof(dt_k2_int_1, axiom,  (! [A] :  (v1_xreal_0(A) => v1_int_1(k2_int_1(A))) ) ).
fof(projectivity_k2_int_1, axiom,  (! [A] :  (v1_xreal_0(A) => k2_int_1(k2_int_1(A))=k2_int_1(A)) ) ).
fof(dt_k4_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k4_int_1(A, B))) ) ).
fof(dt_k5_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k5_int_1(A, B))) ) ).
fof(dt_f1_s7_int_1, axiom, m1_subset_1(f1_s7_int_1, k4_ordinal1)).
fof(dt_f2_s7_int_1, axiom, m1_subset_1(f2_s7_int_1, k4_ordinal1)).
fof(dt_f1_s8_int_1, axiom, m1_subset_1(f1_s8_int_1, k4_ordinal1)).
fof(dt_f2_s8_int_1, axiom, m1_subset_1(f2_s8_int_1, k4_ordinal1)).
fof(fc1_int_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ( ~ (v7_ordinal1(k4_xcmplx_0(A)))  & v1_xcmplx_0(k4_xcmplx_0(A))) ) ) ).
fof(cc1_int_2, axiom,  (! [A] :  ( (v1_int_1(A) & v1_int_2(A))  =>  (v7_ordinal1(A) & v1_int_1(A)) ) ) ).
fof(rc1_int_2, axiom,  (? [A] :  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_finset_1(A) &  (v1_card_1(A) & v1_int_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_int_2, axiom,  (? [A] :  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_finset_1(A) &  (v1_card_1(A) &  ~ (v1_int_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_int_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ( (r1_int_1(A, B) & r1_int_1(A, k2_xcmplx_0(B, C)))  => r1_int_1(A, C)) ) ) ) ) ) ) ).
fof(t2_int_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (r1_int_1(A, B) => r1_int_1(A, k3_xcmplx_0(B, C))) ) ) ) ) ) ) ).
fof(t3_int_2, axiom,  (! [A] :  (v1_int_1(A) =>  (r1_int_1(k5_numbers, A) <=> A=k5_numbers) ) ) ).
fof(d1_int_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (C=k2_int_2(A, B) <=>  (r1_int_1(A, C) &  (r1_int_1(B, C) &  (! [D] :  (v1_int_1(D) =>  ( (r1_int_1(A, D) & r1_int_1(B, D))  => r1_int_1(C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_int_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  ( (A=k5_numbers | B=k5_numbers)  <=> k2_int_2(A, B)=k5_numbers) ) ) ) ) ).
fof(d2_int_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (C=k3_int_2(A, B) <=>  (r1_int_1(C, A) &  (r1_int_1(C, B) &  (! [D] :  (v1_int_1(D) =>  ( (r1_int_1(D, A) & r1_int_1(D, B))  => r1_int_1(D, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_int_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  ( (A=k5_numbers & B=k5_numbers)  <=> k3_int_2(A, B)=k5_numbers) ) ) ) ) ).
fof(t6_int_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (m1_subset_1(k4_xcmplx_0(A), k4_ordinal1) <=> A=k5_numbers) ) ) ).
fof(t7_int_2, axiom,  ~ (m1_subset_1(k4_xcmplx_0(1), k4_ordinal1)) ).
fof(t8_int_2, axiom,  (! [A] :  (v1_int_1(A) =>  (r1_int_1(A, k4_xcmplx_0(A)) & r1_int_1(k4_xcmplx_0(A), A)) ) ) ).
fof(t9_int_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ( (r1_int_1(A, B) & r1_int_1(B, C))  => r1_int_1(A, C)) ) ) ) ) ) ) ).
fof(t10_int_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  ( (r1_int_1(A, B) => r1_int_1(A, k4_xcmplx_0(B)))  &  ( (r1_int_1(A, k4_xcmplx_0(B)) => r1_int_1(A, B))  &  ( (r1_int_1(A, B) => r1_int_1(k4_xcmplx_0(A), B))  &  ( (r1_int_1(k4_xcmplx_0(A), B) => r1_int_1(A, B))  &  ( (r1_int_1(A, B) => r1_int_1(k4_xcmplx_0(A), k4_xcmplx_0(B)))  &  ( (r1_int_1(k4_xcmplx_0(A), k4_xcmplx_0(B)) => r1_int_1(A, B))  &  ( (r1_int_1(A, k4_xcmplx_0(B)) => r1_int_1(k4_xcmplx_0(A), B))  &  (r1_int_1(k4_xcmplx_0(A), B) => r1_int_1(A, k4_xcmplx_0(B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_int_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  ~ ( (r1_int_1(A, B) &  (r1_int_1(B, A) &  ( ~ (A=B)  &  ~ (A=k4_xcmplx_0(B)) ) ) ) ) ) ) ) ) ).
fof(t12_int_2, axiom,  (! [A] :  (v1_int_1(A) =>  (r1_int_1(A, k5_numbers) &  (r1_int_1(1, A) & r1_int_1(k4_xcmplx_0(1), A)) ) ) ) ).
fof(t13_int_2, axiom,  (! [A] :  (v1_int_1(A) =>  ~ ( ( (r1_int_1(A, 1) | r1_int_1(A, k4_xcmplx_0(1)))  &  ( ~ (A=1)  &  ~ (A=k4_xcmplx_0(1)) ) ) ) ) ) ).
fof(t14_int_2, axiom,  (! [A] :  (v1_int_1(A) =>  ( (A=1 | A=k4_xcmplx_0(1))  =>  (r1_int_1(A, 1) & r1_int_1(A, k4_xcmplx_0(1))) ) ) ) ).
fof(t15_int_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (r2_int_1(A, B, C) <=> r1_int_1(C, k6_xcmplx_0(A, B))) ) ) ) ) ) ) ).
fof(t16_int_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (r1_int_1(A, B) <=> r1_int_1(k1_int_2(A), k1_int_2(B))) ) ) ) ) ).
fof(t17_int_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) => m1_subset_1(k2_int_2(A, B), k4_ordinal1)) ) ) ) ).
fof(t18_int_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) => r1_int_1(A, k2_int_2(A, B))) ) ) ) ).
fof(t19_int_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ( (r1_int_1(A, C) & r1_int_1(B, C))  => r1_int_1(k2_int_2(A, B), C)) ) ) ) ) ) ) ).
fof(t20_int_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) => m1_subset_1(k3_int_2(A, B), k4_ordinal1)) ) ) ) ).
fof(t21_int_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) => r1_int_1(k3_int_2(A, B), A)) ) ) ) ).
fof(t22_int_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ( (r1_int_1(C, A) & r1_int_1(C, B))  => r1_int_1(C, k3_int_2(A, B))) ) ) ) ) ) ) ).
fof(d3_int_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (r1_int_2(A, B) <=> k3_int_2(A, B)=1) ) ) ) ) ).
fof(t23_int_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  ~ ( ( ~ ( (A=k5_numbers & B=k5_numbers) )  &  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  ~ ( (A=k3_xcmplx_0(k3_int_2(A, B), C) &  (B=k3_xcmplx_0(k3_int_2(A, B), D) & r1_int_2(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_int_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (r1_int_2(A, B) =>  (k3_int_2(k3_xcmplx_0(C, A), k3_xcmplx_0(C, B))=k1_int_2(C) &  (k3_int_2(k3_xcmplx_0(C, A), k3_xcmplx_0(B, C))=k1_int_2(C) &  (k3_int_2(k3_xcmplx_0(A, C), k3_xcmplx_0(C, B))=k1_int_2(C) & k3_int_2(k3_xcmplx_0(A, C), k3_xcmplx_0(B, C))=k1_int_2(C)) ) ) ) ) ) ) ) ) ) ).
fof(t25_int_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ( (r1_int_1(C, k3_xcmplx_0(A, B)) & r1_int_2(A, C))  => r1_int_1(C, B)) ) ) ) ) ) ) ).
fof(t26_int_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ( (r1_int_2(A, C) & r1_int_2(B, C))  => r1_int_2(k3_xcmplx_0(A, B), C)) ) ) ) ) ) ) ).
fof(d4_int_2, axiom,  (! [A] :  (v1_int_1(A) =>  (v1_int_2(A) <=>  ( ~ (r1_xxreal_0(A, 1))  &  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_int_1(B, A) &  ( ~ (B=1)  &  ~ (B=A) ) ) ) ) ) ) ) ) ) ).
fof(t27_int_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (r1_int_1(A, B) =>  (r1_xxreal_0(B, k5_numbers) | r1_xxreal_0(A, B)) ) ) ) ) ) ).
fof(t28_int_2, axiom, v1_int_2(2)).
fof(t29_int_2, axiom,  ~ (v1_int_2(4)) ).
fof(t30_int_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (v1_int_2(A) &  (v1_int_2(B) &  ( ~ (r1_int_2(A, B))  &  ~ (A=B) ) ) ) ) ) ) ) ) ).
fof(t31_int_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( (r1_xxreal_0(2, A) &  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ~ ( (v1_int_2(B) & r1_int_1(B, A)) ) ) ) ) ) ) ) ).
fof(t32_int_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  ( (r1_xxreal_0(k5_numbers, A) & r1_xxreal_0(k5_numbers, B))  =>  (k5_int_1(k1_int_2(A), k1_int_2(B))=k5_int_1(A, B) & k4_int_1(k1_int_2(A), k1_int_2(B))=k4_int_1(A, B)) ) ) ) ) ) ).
fof(t33_int_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) => k2_int_2(A, B)=k2_int_2(k1_int_2(A), k1_int_2(B))) ) ) ) ).
fof(t34_int_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) => k3_int_2(A, B)=k3_int_2(k1_int_2(A), k1_int_2(B))) ) ) ) ).
fof(dt_k1_int_2, axiom,  (! [A] :  (v1_int_1(A) => m1_subset_1(k1_int_2(A), k4_ordinal1)) ) ).
fof(projectivity_k1_int_2, axiom,  (! [A] :  (v1_int_1(A) => k1_int_2(k1_int_2(A))=k1_int_2(A)) ) ).
fof(redefinition_k1_int_2, axiom,  (! [A] :  (v1_int_1(A) => k1_int_2(A)=k9_complex1(A)) ) ).
fof(dt_k2_int_2, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v7_ordinal1(k2_int_2(A, B))) ) ).
fof(commutativity_k2_int_2, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => k2_int_2(A, B)=k2_int_2(B, A)) ) ).
fof(dt_k3_int_2, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v7_ordinal1(k3_int_2(A, B))) ) ).
fof(commutativity_k3_int_2, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => k3_int_2(A, B)=k3_int_2(B, A)) ) ).
fof(symmetry_r1_int_2, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  =>  (r1_int_2(A, B) => r1_int_2(B, A)) ) ) ).
fof(fc1_int_3, axiom,  ( ~ (v2_struct_0(k1_int_3))  & v36_algstr_0(k1_int_3)) ).
fof(fc2_int_3, axiom, v5_membered(u1_struct_0(k1_int_3))).
fof(ie1_int_3, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, u1_struct_0(k1_int_3)) &  (m1_subset_1(B, u1_struct_0(k1_int_3)) &  (v1_int_1(C) & v1_int_1(D)) ) )  =>  ( (A=C & B=D)  => k6_algstr_0(k1_int_3, A, B)=k3_xcmplx_0(C, D)) ) ) ).
fof(ie2_int_3, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, u1_struct_0(k1_int_3)) &  (m1_subset_1(B, u1_struct_0(k1_int_3)) &  (v1_int_1(C) & v1_int_1(D)) ) )  =>  ( (A=C & B=D)  => k1_algstr_0(k1_int_3, A, B)=k2_xcmplx_0(C, D)) ) ) ).
fof(fc3_int_3, axiom, v4_vectsp_1(k1_int_3)).
fof(fc4_int_3, axiom,  ( ~ (v6_struct_0(k1_int_3))  &  (v13_algstr_0(k1_int_3) &  (v3_group_1(k1_int_3) &  (v5_group_1(k1_int_3) &  (v2_rlvect_1(k1_int_3) &  (v3_rlvect_1(k1_int_3) &  (v4_rlvect_1(k1_int_3) &  (v5_vectsp_1(k1_int_3) & v1_vectsp_2(k1_int_3)) ) ) ) ) ) ) ) ).
fof(ie3_int_3, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k1_int_3)) & v1_int_1(B))  =>  (A=B => k4_algstr_0(k1_int_3, A)=k4_xcmplx_0(B)) ) ) ).
fof(fc5_int_3, axiom, v1_int_3(k1_int_3)).
fof(rc1_int_3, axiom,  (? [A] :  (l6_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v36_algstr_0(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v2_vectsp_1(A) &  (v3_vectsp_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v6_vectsp_1(A) &  (v1_vectsp_2(A) & v1_int_3(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_int_3, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v4_vectsp_1(A) &  (v1_vectsp_2(A) & v1_int_3(A)) ) ) ) ) ) ) ) ) )  =>  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v4_vectsp_1(A) &  (v1_vectsp_2(A) & v3_gcd_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc2_int_3, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_rlvect_1(A) & v4_vectsp_1(A)) ) ) ) )  =>  ( ~ (v2_struct_0(A))  & v1_int_3(A)) ) ) ) ).
fof(fc6_int_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ( ~ (v2_struct_0(k9_int_3(A)))  & v36_algstr_0(k9_int_3(A))) ) ) ).
fof(rc2_int_3, axiom,  (? [A] :  (l6_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  (v6_struct_0(A) &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v36_algstr_0(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v2_vectsp_1(A) &  (v3_vectsp_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & v6_vectsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc3_int_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  & v1_int_2(A)) ) ) ) ).
fof(fc7_int_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  ( ~ (v6_struct_0(k9_int_3(A)))  &  (v13_algstr_0(k9_int_3(A)) &  (v33_algstr_0(k9_int_3(A)) &  (v3_group_1(k9_int_3(A)) &  (v5_group_1(k9_int_3(A)) &  (v2_rlvect_1(k9_int_3(A)) &  (v3_rlvect_1(k9_int_3(A)) &  (v4_rlvect_1(k9_int_3(A)) &  (v4_vectsp_1(k9_int_3(A)) & v5_vectsp_1(k9_int_3(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(fc8_int_3, axiom,  ~ (v8_struct_0(k1_int_3)) ).
fof(rc3_int_3, axiom,  (? [A] :  (l6_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v8_struct_0(A))  &  (v13_algstr_0(A) &  (v36_algstr_0(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v2_vectsp_1(A) &  (v3_vectsp_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & v6_vectsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_int_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_numbers, k4_numbers), k4_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_numbers, k4_numbers), k4_numbers)))) )  =>  (A=k22_binop_2 <=>  (! [B] :  (m1_subset_1(B, k4_numbers) =>  (! [C] :  (m1_subset_1(C, k4_numbers) => k4_binop_1(k4_numbers, A, B, C)=k1_binop_1(k11_binop_2, B, C)) ) ) ) ) ) ) ).
fof(d2_int_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_numbers, k4_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_numbers, k4_numbers)))) )  =>  (A=k19_binop_2 <=>  (! [B] :  (m1_subset_1(B, k4_numbers) => k3_funct_2(k4_numbers, k4_numbers, A, B)=k1_funct_1(k7_binop_2, B)) ) ) ) ) ).
fof(d3_int_3, axiom, k1_int_3=g6_algstr_0(k4_numbers, k20_binop_2, k22_binop_2, k10_subset_1(1, k4_numbers), k10_subset_1(k5_numbers, k4_numbers))).
fof(d5_int_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k1_int_3), k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_int_3), k4_ordinal1)))) )  =>  (A=k3_int_3 <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_int_3)) => k3_funct_2(u1_struct_0(k1_int_3), k4_ordinal1, A, B)=k1_funct_1(k2_euclid, B)) ) ) ) ) ).
fof(t1_int_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_int_3)) => k3_funct_2(u1_struct_0(k1_int_3), k4_ordinal1, k3_int_3, A)=k2_int_3(A)) ) ).
fof(t2_int_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_int_3)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_int_3)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_int_3)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_int_3)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k1_int_3)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k1_int_3)) =>  ( (A=k3_rlvect_1(k1_int_3, k8_group_1(k1_int_3, C, B), E) &  (r1_xxreal_0(k4_struct_0(k1_int_3), E) &  (A=k3_rlvect_1(k1_int_3, k8_group_1(k1_int_3, D, B), F) & r1_xxreal_0(k4_struct_0(k1_int_3), F)) ) )  =>  (B=k4_struct_0(k1_int_3) |  (r1_xxreal_0(k2_int_3(B), E) |  (r1_xxreal_0(k2_int_3(B), F) |  (C=D & E=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_int_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_int_3)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_int_3)) =>  ( ~ (B=k4_struct_0(k1_int_3))  => A=k3_rlvect_1(k1_int_3, k8_group_1(k1_int_3, k4_int_3(A, B), B), k5_int_3(A, B))) ) ) ) ) ).
fof(d8_int_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (v1_int_3(A) <=>  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k4_ordinal1)))) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (D=k4_struct_0(A))  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (C=k1_algstr_0(A, k6_algstr_0(A, E, D), F) &  ~ ( ( ~ (F=k4_struct_0(A))  & r1_xxreal_0(k3_funct_2(u1_struct_0(A), k4_ordinal1, B, D), k3_funct_2(u1_struct_0(A), k4_ordinal1, B, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_int_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_int_3(A) & l6_algstr_0(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k4_ordinal1)))) )  =>  (m1_int_3(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (D=k4_struct_0(A))  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (C=k1_algstr_0(A, k6_algstr_0(A, E, D), F) &  ~ ( ( ~ (F=k4_struct_0(A))  & r1_xxreal_0(k3_funct_2(u1_struct_0(A), k4_ordinal1, B, D), k3_funct_2(u1_struct_0(A), k4_ordinal1, B, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_int_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) &  (v1_int_3(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) &  (v3_gcd_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_int_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  => v1_int_3(A)) ) ).
fof(t6_int_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k4_ordinal1)))) )  => m1_int_3(B, A)) ) ) ) ).
fof(d10_int_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k5_card_1(A), k5_card_1(A)), k5_card_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k5_card_1(A), k5_card_1(A)), k5_card_1(A))))) )  =>  (B=k7_int_3(A) <=>  (! [C] :  (m1_subset_1(C, k5_card_1(A)) =>  (! [D] :  (m1_subset_1(D, k5_card_1(A)) => k4_binop_1(k5_card_1(A), B, C, D)=k2_nat_d(k3_xcmplx_0(C, D), A)) ) ) ) ) ) ) ) ) ) ).
fof(d11_int_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k5_card_1(A), k5_card_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k5_card_1(A), k5_card_1(A))))) )  =>  (B=k8_int_3(A) <=>  (! [C] :  (m1_subset_1(C, k5_card_1(A)) => k1_funct_1(B, C)=k5_int_1(k6_xcmplx_0(A, C), A)) ) ) ) ) ) ) ) ).
fof(t7_int_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  =>  (! [B] :  (m1_subset_1(B, k5_card_1(A)) =>  (! [C] :  (m1_subset_1(C, k5_card_1(A)) =>  ( ( ~ (r1_xxreal_0(A, k2_xcmplx_0(B, C)))  => k4_binop_1(k5_card_1(A), k3_gr_cy_1(A), B, C)=k2_xcmplx_0(B, C))  &  ( ~ ( (k4_binop_1(k5_card_1(A), k3_gr_cy_1(A), B, C)=k2_xcmplx_0(B, C) & r1_xxreal_0(A, k2_xcmplx_0(B, C))) )  &  ( (r1_xxreal_0(A, k2_xcmplx_0(B, C)) => k4_binop_1(k5_card_1(A), k3_gr_cy_1(A), B, C)=k6_xcmplx_0(k2_xcmplx_0(B, C), A))  &  (k4_binop_1(k5_card_1(A), k3_gr_cy_1(A), B, C)=k6_xcmplx_0(k2_xcmplx_0(B, C), A) => r1_xxreal_0(A, k2_xcmplx_0(B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_int_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  =>  (! [B] :  (m1_subset_1(B, k5_card_1(A)) =>  (! [C] :  (m1_subset_1(C, k5_card_1(A)) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(k3_xcmplx_0(D, A), k3_xcmplx_0(B, C)) &  ~ (r1_xxreal_0(k3_xcmplx_0(k2_xcmplx_0(D, 1), A), k3_xcmplx_0(B, C))) )  <=> k4_binop_1(k5_card_1(A), k7_int_3(A), B, C)=k6_xcmplx_0(k3_xcmplx_0(B, C), k3_xcmplx_0(D, A))) ) ) ) ) ) ) ) ) ) ).
fof(t9_int_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  =>  (! [B] :  (m1_subset_1(B, k5_card_1(A)) =>  ( (B=k5_numbers => k1_funct_1(k8_int_3(A), B)=k5_numbers)  &  ( (k1_funct_1(k8_int_3(A), B)=k5_numbers => B=k5_numbers)  &  ( ( ~ (B=k5_numbers)  => k1_funct_1(k8_int_3(A), B)=k6_xcmplx_0(A, B))  &  ~ ( (k1_funct_1(k8_int_3(A), B)=k6_xcmplx_0(A, B) & B=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(d12_int_3, axiom,  (! [A] :  (v7_ordinal1(A) => k9_int_3(A)=g6_algstr_0(k5_card_1(A), k3_gr_cy_1(A), k7_int_3(A), k10_subset_1(1, k5_card_1(A)), k10_subset_1(k5_numbers, k5_card_1(A)))) ) ).
fof(t10_int_3, axiom,  (v6_struct_0(k9_int_3(1)) &  ( ( ~ (v2_struct_0(k9_int_3(1)))  &  (v13_algstr_0(k9_int_3(1)) &  (v3_group_1(k9_int_3(1)) &  (v2_rlvect_1(k9_int_3(1)) &  (v3_rlvect_1(k9_int_3(1)) &  (v4_rlvect_1(k9_int_3(1)) &  (v4_vectsp_1(k9_int_3(1)) &  (v5_vectsp_1(k9_int_3(1)) & l6_algstr_0(k9_int_3(1))) ) ) ) ) ) ) )  &  (v33_algstr_0(k9_int_3(1)) &  (v1_group_1(k9_int_3(1)) &  (v5_vectsp_1(k9_int_3(1)) & v5_group_1(k9_int_3(1))) ) ) ) ) ).
fof(t11_int_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, 1))  =>  ( ~ (v6_struct_0(k9_int_3(A)))  &  ( ~ (v2_struct_0(k9_int_3(A)))  &  (v13_algstr_0(k9_int_3(A)) &  (v3_group_1(k9_int_3(A)) &  (v5_group_1(k9_int_3(A)) &  (v2_rlvect_1(k9_int_3(A)) &  (v3_rlvect_1(k9_int_3(A)) &  (v4_rlvect_1(k9_int_3(A)) &  (v4_vectsp_1(k9_int_3(A)) &  (v5_vectsp_1(k9_int_3(A)) & l6_algstr_0(k9_int_3(A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_int_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, 1))  =>  ( ( ~ (v2_struct_0(k9_int_3(A)))  &  ( ~ (v6_struct_0(k9_int_3(A)))  &  (v13_algstr_0(k9_int_3(A)) &  (v33_algstr_0(k9_int_3(A)) &  (v3_group_1(k9_int_3(A)) &  (v5_group_1(k9_int_3(A)) &  (v2_rlvect_1(k9_int_3(A)) &  (v3_rlvect_1(k9_int_3(A)) &  (v4_rlvect_1(k9_int_3(A)) &  (v4_vectsp_1(k9_int_3(A)) &  (v5_vectsp_1(k9_int_3(A)) & l6_algstr_0(k9_int_3(A))) ) ) ) ) ) ) ) ) ) )  <=>  (v7_ordinal1(A) & v1_int_2(A)) ) ) ) ) ).
fof(t13_int_3, axiom, k5_struct_0(k1_int_3)=1).
fof(t14_int_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, 1))  => k5_struct_0(k9_int_3(A))=1) ) ) ).
fof(dt_k1_int_3, axiom, l6_algstr_0(k1_int_3)).
fof(dt_k2_int_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_int_3)) => m1_subset_1(k2_int_3(A), u1_struct_0(k1_int_3))) ) ).
fof(projectivity_k2_int_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_int_3)) => k2_int_3(k2_int_3(A))=k2_int_3(A)) ) ).
fof(redefinition_k2_int_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_int_3)) => k2_int_3(A)=k9_complex1(A)) ) ).
fof(dt_k3_int_3, axiom,  (v1_funct_1(k3_int_3) &  (v1_funct_2(k3_int_3, u1_struct_0(k1_int_3), k4_ordinal1) & m1_subset_1(k3_int_3, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_int_3), k4_ordinal1)))) ) ).
fof(dt_k4_int_3, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k1_int_3)) & m1_subset_1(B, u1_struct_0(k1_int_3)))  => m1_subset_1(k4_int_3(A, B), u1_struct_0(k1_int_3))) ) ).
fof(redefinition_k4_int_3, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k1_int_3)) & m1_subset_1(B, u1_struct_0(k1_int_3)))  => k4_int_3(A, B)=k4_int_1(A, B)) ) ).
fof(dt_k5_int_3, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k1_int_3)) & m1_subset_1(B, u1_struct_0(k1_int_3)))  => m1_subset_1(k5_int_3(A, B), u1_struct_0(k1_int_3))) ) ).
fof(redefinition_k5_int_3, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k1_int_3)) & m1_subset_1(B, u1_struct_0(k1_int_3)))  => k5_int_3(A, B)=k5_int_1(A, B)) ) ).
fof(dt_m1_int_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_int_3(A) & l6_algstr_0(A)) )  =>  (! [B] :  (m1_int_3(B, A) =>  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k4_ordinal1)))) ) ) ) ) ) ).
fof(existence_m1_int_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_int_3(A) & l6_algstr_0(A)) )  =>  (? [B] : m1_int_3(B, A)) ) ) ).
fof(dt_k6_int_3, axiom, m1_int_3(k6_int_3, k1_int_3)).
fof(redefinition_k6_int_3, axiom, k6_int_3=k3_int_3).
fof(dt_k7_int_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_funct_1(k7_int_3(A)) &  (v1_funct_2(k7_int_3(A), k2_zfmisc_1(k5_card_1(A), k5_card_1(A)), k5_card_1(A)) & m1_subset_1(k7_int_3(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k5_card_1(A), k5_card_1(A)), k5_card_1(A))))) ) ) ) ).
fof(dt_k8_int_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_funct_1(k8_int_3(A)) &  (v1_funct_2(k8_int_3(A), k5_card_1(A), k5_card_1(A)) & m1_subset_1(k8_int_3(A), k1_zfmisc_1(k2_zfmisc_1(k5_card_1(A), k5_card_1(A))))) ) ) ) ).
fof(dt_k9_int_3, axiom,  (! [A] :  (v7_ordinal1(A) => l6_algstr_0(k9_int_3(A))) ) ).
fof(fc1_int_4, axiom,  (! [A, B] :  ( ( (v1_finset_1(A) & v3_membered(A))  & v1_xreal_0(B))  => v1_finset_1(k17_member_1(A, B))) ) ).
fof(fc2_int_4, axiom,  (! [A, B] :  ( ( (v1_finset_1(A) & v3_membered(A))  & v1_xreal_0(B))  => v1_finset_1(k23_member_1(A, B))) ) ).
fof(fc3_int_4, axiom,  (! [A] :  (v1_int_1(A) => v1_partfun1(k1_int_4(A), k4_numbers)) ) ).
fof(fc4_int_4, axiom,  (! [A] :  (v1_int_1(A) =>  (v1_relat_2(k1_int_4(A)) &  (v3_relat_2(k1_int_4(A)) & v8_relat_2(k1_int_4(A))) ) ) ) ).
fof(t1_int_4, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (v1_xreal_0(B) => r3_tarski(A, k1_measure6(A, B))) ) ) ) ).
fof(t2_int_4, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (v1_xreal_0(B) => k1_card_1(A)=k1_card_1(k1_measure6(A, B))) ) ) ) ).
fof(t3_int_4, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (B=k5_numbers)  => r3_tarski(A, k1_integra2(A, B))) ) ) ) ) ).
fof(t4_int_4, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (B=k5_numbers =>  (v1_xboole_0(A) | k1_integra2(A, B)=k1_tarski(k5_numbers)) )  &  ~ ( (k1_integra2(A, B)=k1_tarski(k5_numbers) &  ( ~ (B=k5_numbers)  &  ~ (A=k1_tarski(k5_numbers)) ) ) ) ) ) ) ) ) ).
fof(t5_int_4, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (B=k5_numbers)  => k1_card_1(A)=k1_card_1(k1_integra2(A, B))) ) ) ) ) ).
fof(t6_int_4, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (r1_int_1(B, A) =>  (A=k5_numbers | r1_xxreal_0(k1_int_2(B), k1_int_2(A))) ) ) ) ) ) ).
fof(t7_int_4, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ( ~ (C=k5_numbers)  =>  (r1_int_1(A, B) <=> r1_int_1(k3_xcmplx_0(A, C), k3_xcmplx_0(B, C))) ) ) ) ) ) ) ) ).
fof(t8_int_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (k4_nat_d(A, C)=k4_nat_d(B, C) => k4_nat_d(k1_newton(A, D), C)=k4_nat_d(k1_newton(B, D), C)) ) ) ) ) ) ) ) ) ).
fof(t9_int_4, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  ( (r2_int_1(k3_xcmplx_0(A, D), k3_xcmplx_0(B, D), C) & r1_int_2(D, C))  => r2_int_1(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t10_int_4, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_int_1(A, B, C) => r2_int_1(k3_xcmplx_0(A, D), k3_xcmplx_0(B, D), k3_xcmplx_0(C, D))) ) ) ) ) ) ) ) ) ).
fof(t11_int_4, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  (r2_int_1(A, B, D) => r2_int_1(k3_xcmplx_0(A, C), k3_xcmplx_0(B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t13_int_4, axiom,  (! [A] :  (v1_int_1(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  =>  (! [B] :  (v1_int_1(B) =>  (? [C] :  (v1_int_1(C) &  (? [D] :  (v1_int_1(D) &  (B=k2_xcmplx_0(k3_xcmplx_0(A, C), D) &  (r1_xxreal_0(k5_numbers, D) &  ~ (r1_xxreal_0(A, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_int_4, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ~ ( (r1_int_2(A, C) &  (! [D] :  (v1_int_1(D) =>  ~ (k5_int_1(k6_xcmplx_0(k3_xcmplx_0(A, D), B), C)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_int_4, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (r1_int_2(A, C) &  (! [D] :  (v7_ordinal1(D) =>  ~ (k5_int_1(k6_xcmplx_0(k3_xcmplx_0(A, D), B), C)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_int_4, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ~ ( ( ~ (C=k5_numbers)  &  ( ~ (r1_int_1(k3_int_2(A, C), B))  &  (? [D] :  (v1_int_1(D) & k5_int_1(k6_xcmplx_0(k3_xcmplx_0(A, D), B), C)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_int_4, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ~ ( ( ~ (C=k5_numbers)  &  (r1_int_1(k3_int_2(A, C), B) &  (! [D] :  (v1_int_1(D) =>  ~ (k5_int_1(k6_xcmplx_0(k3_xcmplx_0(A, D), B), C)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_int_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  ( ~ (r1_xxreal_0(A, k5_numbers))  &  ~ (k4_nat_d(k3_xcmplx_0(A, B), k1_newton(A, C))=k3_xcmplx_0(A, k4_nat_d(B, k1_newton(A, k7_nat_d(C, 1))))) ) ) ) ) ) ) ) ) ) ).
fof(t20_int_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k4_nat_d(k3_xcmplx_0(A, B), k3_xcmplx_0(A, C))=k3_xcmplx_0(A, k4_nat_d(B, C))) ) ) ) ) ) ).
fof(t21_int_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (v1_int_2(A) &  (r1_int_2(A, B) & r1_nat_d(A, k4_nat_d(B, k1_newton(A, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t22_int_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  =>  (k5_int_1(k6_xcmplx_0(A, B), C)=k5_numbers <=> k4_nat_d(A, C)=k4_nat_d(B, C)) ) ) ) ) ) ) ) ).
fof(t23_int_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  =>  (k4_nat_d(A, C)=k4_nat_d(B, C) <=> r1_int_1(C, k6_xcmplx_0(A, B))) ) ) ) ) ) ) ) ).
fof(t24_int_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (v1_int_2(A) & r1_int_2(A, B))  =>  (r1_xxreal_0(C, k5_numbers) |  (! [D] :  (v1_int_1(D) =>  ~ (k5_int_1(k6_xcmplx_0(k3_xcmplx_0(A, k1_square_1(D)), B), k1_newton(A, C))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_int_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (v1_int_2(A) & r1_int_2(A, B))  =>  (r1_xxreal_0(C, k5_numbers) |  (! [D] :  (v1_int_1(D) =>  ~ (k5_int_1(k6_xcmplx_0(k3_xcmplx_0(A, D), B), k1_newton(A, C))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_int_4, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_numbers, k4_numbers))) =>  (B=k1_int_4(A) <=>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  (r2_hidden(k4_tarski(C, D), B) <=> r2_int_1(C, D, A)) ) ) ) ) ) ) ) ) ) ).
fof(t26_int_4, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  (k5_int_1(k6_xcmplx_0(k3_xcmplx_0(A, D), B), C)=k5_numbers =>  (C=k5_numbers |  (! [E] :  (v1_int_1(E) =>  ( ( (r1_int_2(A, C) & k5_int_1(k6_xcmplx_0(k3_xcmplx_0(A, E), B), C)=k5_numbers)  => r2_hidden(E, k6_eqrel_1(k4_numbers, k4_numbers, k1_int_4(C), D)))  &  (r2_hidden(E, k6_eqrel_1(k4_numbers, k4_numbers, k1_int_4(C), D)) => k5_int_1(k6_xcmplx_0(k3_xcmplx_0(A, E), B), C)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_int_4, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  ~ ( ( ~ (C=k5_numbers)  &  (r1_int_2(A, C) &  (k5_int_1(k6_xcmplx_0(k3_xcmplx_0(A, D), B), C)=k5_numbers &  (! [E] :  (v1_int_1(E) =>  ~ (r2_hidden(k4_tarski(D, k3_xcmplx_0(B, E)), k1_int_4(C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_int_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (r1_int_2(A, B) =>  (A=k5_numbers |  (r1_xxreal_0(B, 1) |  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  (k5_int_1(k6_xcmplx_0(k3_xcmplx_0(A, D), C), B)=k5_numbers => r2_hidden(k4_tarski(D, k3_xcmplx_0(C, k11_newton(A, k7_nat_d(k1_euler_1(B), 1)))), k1_int_4(B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_int_4, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ~ ( ( ~ (C=k5_numbers)  &  (r1_int_1(k3_int_2(A, C), B) &  (! [D] :  (m2_finseq_1(D, k4_numbers) =>  ~ ( (k3_finseq_1(D)=k3_int_2(A, C) &  ( (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r2_tarski(E, k1_relset_1(k4_ordinal1, D)) => k5_int_1(k6_xcmplx_0(k3_xcmplx_0(A, k1_funct_1(D, E)), B), C)=k5_numbers) ) )  &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  ~ ( (r2_tarski(E, k1_relset_1(k4_ordinal1, D)) &  (r2_tarski(F, k1_relset_1(k4_ordinal1, D)) &  ( ~ (E=F)  & r2_int_1(k1_funct_1(D, E), k1_funct_1(D, F), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_int_4, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (r2_tarski(C, k1_relset_1(k4_ordinal1, A)) & k3_finseq_1(A)=k2_xcmplx_0(D, 1))  => r2_relset_1(k4_ordinal1, k4_ordinal1, k3_wsierp_1(k4_ordinal1, C, k8_finseq_1(k4_ordinal1, A, k3_pre_poly(k4_ordinal1, B))), k8_finseq_1(k4_ordinal1, k3_wsierp_1(k4_ordinal1, C, A), k3_pre_poly(k4_ordinal1, B)))) ) ) ) ) ) ) ) ) ).
fof(t31_int_4, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  ( (r1_xxreal_0(2, k3_finseq_1(A)) &  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (r2_tarski(B, k1_relset_1(k4_ordinal1, A)) & r2_tarski(C, k1_relset_1(k4_ordinal1, A)))  =>  (B=C | k6_nat_d(k1_recdef_1(A, B), k1_recdef_1(A, C))=1) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (r2_tarski(B, k1_relset_1(k4_ordinal1, A)) => k6_nat_d(k2_wsierp_1(k3_wsierp_1(k4_ordinal1, B, A)), k1_recdef_1(A, B))=1) ) ) ) ) ) ).
fof(t32_int_4, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k1_relset_1(k4_ordinal1, A)) => r1_nat_d(k1_recdef_1(A, B), k2_wsierp_1(A))) ) ) ) ) ).
fof(t33_int_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r2_tarski(C, k1_relset_1(k4_ordinal1, B)) & r1_nat_d(A, k1_recdef_1(B, C)))  => r1_nat_d(A, k2_wsierp_1(B))) ) ) ) ) ) ) ).
fof(t34_int_4, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (v7_ordinal1(C) =>  ( (k3_finseq_1(A)=k2_xcmplx_0(B, 1) &  (r1_xxreal_0(1, C) & r1_xxreal_0(C, B)) )  => k1_recdef_1(k3_wsierp_1(k4_ordinal1, C, A), B)=k1_recdef_1(A, k3_finseq_1(A))) ) ) ) ) ) ) ).
fof(t35_int_4, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (r2_tarski(B, k1_relset_1(k4_ordinal1, A)) &  (r2_tarski(C, k1_relset_1(k4_ordinal1, A)) & r1_xxreal_0(1, k3_finseq_1(A))) )  =>  (B=C | r1_nat_d(k1_recdef_1(A, C), k2_wsierp_1(k3_wsierp_1(k4_ordinal1, B, A)))) ) ) ) ) ) ) ) ).
fof(t36_int_4, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  (! [B] :  (v7_ordinal1(B) =>  ( (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k1_relset_1(k4_ordinal1, A)) => r1_nat_d(B, k1_recdef_1(A, C))) ) )  => r1_nat_d(B, k1_wsierp_1(A))) ) ) ) ) ).
fof(t37_int_4, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  ( (r1_xxreal_0(2, k3_finseq_1(A)) &  ( (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (r2_tarski(B, k1_relset_1(k4_ordinal1, A)) & r2_tarski(C, k1_relset_1(k4_ordinal1, A)))  =>  (B=C | k6_nat_d(k1_recdef_1(A, B), k1_recdef_1(A, C))=1) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ~ ( (r2_tarski(B, k1_relset_1(k4_ordinal1, A)) & k1_recdef_1(A, B)=k5_numbers) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (? [C] :  (v1_int_1(C) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r2_tarski(D, k1_relset_1(k4_ordinal1, A)) => k5_int_1(k6_xcmplx_0(C, k1_recdef_1(B, D)), k1_recdef_1(A, D))=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t38_int_4, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  (! [B] :  (v7_ordinal1(B) =>  ( ( (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (r2_tarski(C, k1_relset_1(k4_ordinal1, A)) & r2_tarski(D, k1_relset_1(k4_ordinal1, A)))  =>  (C=D | k6_nat_d(k1_recdef_1(A, C), k1_recdef_1(A, D))=1) ) ) ) ) )  &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r2_tarski(C, k1_relset_1(k4_ordinal1, A)) => r1_nat_d(k1_recdef_1(A, C), B)) ) ) )  => r1_nat_d(k2_wsierp_1(A), B)) ) ) ) ) ).
fof(t39_int_4, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  ( ( (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( (r2_tarski(D, k1_relset_1(k4_ordinal1, C)) & r2_tarski(E, k1_relset_1(k4_ordinal1, C)))  =>  (D=E | k6_nat_d(k1_recdef_1(C, D), k1_recdef_1(C, E))=1) ) ) ) ) )  &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ~ ( (r2_tarski(D, k1_relset_1(k4_ordinal1, C)) & r1_xxreal_0(k1_recdef_1(C, D), k5_numbers)) ) ) ) )  =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  ( (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r2_tarski(E, k1_relset_1(k4_ordinal1, C)) =>  (k5_int_1(k6_xcmplx_0(A, k1_recdef_1(D, E)), k1_recdef_1(C, E))=k5_numbers & k5_int_1(k6_xcmplx_0(B, k1_recdef_1(D, E)), k1_recdef_1(C, E))=k5_numbers) ) ) )  => r2_int_1(A, B, k2_wsierp_1(C))) ) ) ) ) ) ) ) ) ) ).
fof(t40_int_4, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  ~ ( ( ~ (A=k5_numbers)  &  ( ~ (B=k5_numbers)  &  (r1_int_2(A, B) &  (! [E] :  (v1_int_1(E) =>  ~ ( ( (! [F] :  (v1_int_1(F) =>  ( (k5_int_1(k6_xcmplx_0(F, C), A)=k5_numbers & k5_int_1(k6_xcmplx_0(F, D), B)=k5_numbers)  => r2_int_1(F, k2_xcmplx_0(C, k3_xcmplx_0(A, E)), k3_xcmplx_0(A, B))) ) )  & k5_int_1(k6_xcmplx_0(k3_xcmplx_0(A, E), k6_xcmplx_0(D, C)), B)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_int_4, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  ~ ( ( ~ (A=k5_numbers)  &  ( ~ (B=k5_numbers)  &  ( ~ (r1_int_1(k3_int_2(A, B), k6_xcmplx_0(C, D)))  &  (? [E] :  (v1_int_1(E) &  (k5_int_1(k6_xcmplx_0(E, C), A)=k5_numbers & k5_int_1(k6_xcmplx_0(E, D), B)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_int_4, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  ~ ( ( ~ (A=k5_numbers)  &  ( ~ (B=k5_numbers)  &  (r1_int_1(k3_int_2(A, B), k6_xcmplx_0(D, C)) &  (! [E] :  (v1_int_1(E) =>  ~ ( ( (! [F] :  (v1_int_1(F) =>  ( (k5_int_1(k6_xcmplx_0(F, C), A)=k5_numbers & k5_int_1(k6_xcmplx_0(F, D), B)=k5_numbers)  => r2_int_1(F, k2_xcmplx_0(C, k3_xcmplx_0(A, E)), k2_int_2(A, B))) ) )  & k5_int_1(k6_xcmplx_0(k3_xcmplx_0(k4_int_1(A, k3_int_2(A, B)), E), k4_int_1(k6_xcmplx_0(D, C), k3_int_2(A, B))), k4_int_1(B, k3_int_2(A, B)))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_int_4, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  (! [E] :  (v1_int_1(E) =>  (! [F] :  (v1_int_1(F) =>  ~ ( ( ~ (A=k5_numbers)  &  ( ~ (B=k5_numbers)  &  (r1_int_1(k3_int_2(C, A), E) &  (r1_int_1(k3_int_2(D, B), F) &  (r1_int_2(A, B) &  (! [G] :  (v1_int_1(G) =>  (! [H] :  (v1_int_1(H) =>  (! [I] :  (v1_int_1(I) =>  ~ ( ( (! [J] :  (v1_int_1(J) =>  ( (k5_int_1(k6_xcmplx_0(k3_xcmplx_0(C, J), E), A)=k5_numbers & k5_int_1(k6_xcmplx_0(k3_xcmplx_0(D, J), F), B)=k5_numbers)  => r2_int_1(J, k2_xcmplx_0(H, k3_xcmplx_0(k4_int_1(A, k3_int_2(C, A)), G)), k3_xcmplx_0(k4_int_1(A, k3_int_2(C, A)), k4_int_1(B, k3_int_2(D, B))))) ) )  &  (k5_int_1(k6_xcmplx_0(k3_xcmplx_0(k4_int_1(C, k3_int_2(C, A)), H), k4_int_1(E, k3_int_2(C, A))), k4_int_1(A, k3_int_2(C, A)))=k5_numbers &  (k5_int_1(k6_xcmplx_0(k3_xcmplx_0(k4_int_1(D, k3_int_2(D, B)), I), k4_int_1(F, k3_int_2(D, B))), k4_int_1(B, k3_int_2(D, B)))=k5_numbers & k5_int_1(k6_xcmplx_0(k3_xcmplx_0(k4_int_1(A, k3_int_2(C, A)), G), k6_xcmplx_0(I, H)), k4_int_1(B, k3_int_2(D, B)))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_int_4, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  (! [E] :  (v1_int_1(E) =>  (! [F] :  (v1_int_1(F) =>  ~ ( ( ~ (A=k5_numbers)  &  ( ~ (B=k5_numbers)  &  ( ~ (C=k5_numbers)  &  (r1_int_2(A, B) &  (r1_int_2(A, C) &  (r1_int_2(B, C) &  (! [G] :  (v1_int_1(G) =>  (! [H] :  (v1_int_1(H) =>  (? [I] :  (v1_int_1(I) &  (k5_int_1(k6_xcmplx_0(I, D), A)=k5_numbers &  (k5_int_1(k6_xcmplx_0(I, E), B)=k5_numbers &  (k5_int_1(k6_xcmplx_0(I, F), C)=k5_numbers &  ~ ( (r2_int_1(I, k2_xcmplx_0(k2_xcmplx_0(D, k3_xcmplx_0(A, G)), k3_xcmplx_0(k3_xcmplx_0(A, B), H)), k3_xcmplx_0(k3_xcmplx_0(A, B), C)) &  (k5_int_1(k6_xcmplx_0(k3_xcmplx_0(A, G), k6_xcmplx_0(E, D)), B)=k5_numbers & k5_int_1(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(A, B), H), k6_xcmplx_0(k6_xcmplx_0(F, D), k3_xcmplx_0(A, G))), C)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_int_4, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  (! [E] :  (v1_int_1(E) =>  (! [F] :  (v1_int_1(F) =>  ~ ( ( ~ (A=k5_numbers)  &  ( ~ (B=k5_numbers)  &  ( ~ (C=k5_numbers)  &  ( ~ ( (r1_int_1(k3_int_2(A, B), k6_xcmplx_0(D, E)) &  (r1_int_1(k3_int_2(A, C), k6_xcmplx_0(D, F)) & r1_int_1(k3_int_2(B, C), k6_xcmplx_0(E, F))) ) )  &  (? [G] :  (v1_int_1(G) &  (k5_int_1(k6_xcmplx_0(G, D), A)=k5_numbers &  (k5_int_1(k6_xcmplx_0(G, E), B)=k5_numbers & k5_int_1(k6_xcmplx_0(G, F), C)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_int_4, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  => k5_nat_d(k6_nat_d(A, C), k6_nat_d(B, C))=k6_nat_d(k5_nat_d(A, B), C)) ) ) ) ) ) ).
fof(t47_int_4, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  ( (v7_ordinal1(D) &  ~ (v8_ordinal1(D)) )  =>  (! [E] :  ( (v7_ordinal1(E) &  ~ (v8_ordinal1(E)) )  =>  (! [F] :  ( (v7_ordinal1(F) &  ~ (v8_ordinal1(F)) )  =>  ~ ( (r1_int_1(k6_nat_d(D, E), k6_xcmplx_0(A, B)) &  (! [G] :  (v1_int_1(G) =>  (! [H] :  (v1_int_1(H) =>  (? [I] :  (v1_int_1(I) &  (k5_int_1(k6_xcmplx_0(I, A), D)=k5_numbers &  (k5_int_1(k6_xcmplx_0(I, B), E)=k5_numbers &  (k5_int_1(k6_xcmplx_0(I, C), F)=k5_numbers &  ~ ( (r2_int_1(I, k2_xcmplx_0(k2_xcmplx_0(A, k3_xcmplx_0(D, G)), k3_xcmplx_0(k5_nat_d(D, E), H)), k5_nat_d(k5_nat_d(D, E), F)) &  (k5_int_1(k6_xcmplx_0(k3_xcmplx_0(k3_nat_d(D, k6_nat_d(D, E)), G), k4_int_1(k6_xcmplx_0(B, A), k6_nat_d(D, E))), k3_nat_d(E, k6_nat_d(D, E)))=k5_numbers & k5_int_1(k6_xcmplx_0(k3_xcmplx_0(k3_nat_d(k5_nat_d(D, E), k6_nat_d(k5_nat_d(D, E), F)), H), k4_int_1(k6_xcmplx_0(C, k2_xcmplx_0(A, k3_xcmplx_0(D, G))), k6_nat_d(k5_nat_d(D, E), F))), k3_nat_d(F, k6_nat_d(k5_nat_d(D, E), F)))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_int_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (r1_int_4(A, B) <=>  (? [C] :  (m2_finseq_1(C, k4_numbers) &  (B=k1_rvsum_1(C) &  (k3_finseq_1(C)=A &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k1_relset_1(k4_ordinal1, C)) => r2_tarski(k1_funct_1(C, D), k6_eqrel_1(k4_numbers, k4_numbers, k1_int_4(A), k7_nat_d(D, 1)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_int_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_finset_1(B) =>  (r1_int_4(A, B) =>  (k4_card_1(B)=A &  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  ~ ( (r2_hidden(C, B) &  (r2_hidden(D, B) &  ( ~ (C=D)  & r2_hidden(k4_tarski(C, D), k1_int_4(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_int_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (r1_int_4(A, k1_xboole_0) <=> A=k5_numbers) ) ) ).
fof(t51_int_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_finset_1(B) =>  ~ ( (k4_card_1(B)=A &  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ~ ( (k3_finseq_1(C)=A &  ( (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r2_tarski(D, k1_relset_1(k4_ordinal1, C)) => r2_tarski(k1_funct_1(C, D), B)) ) )  & v2_funct_1(C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_int_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k4_numbers)))  =>  ( (k4_card_1(B)=A &  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  ~ ( (r2_hidden(C, B) &  (r2_hidden(D, B) &  ( ~ (C=D)  & r2_hidden(k4_tarski(C, D), k1_int_4(A))) ) ) ) ) ) ) ) )  => r1_int_4(A, B)) ) ) ) ) ).
fof(t53_int_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(k4_numbers)))  =>  (r1_int_4(A, C) => r1_int_4(A, k1_measure6(C, B))) ) ) ) ) ) ) ).
fof(t54_int_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(k4_numbers)))  =>  ( (r1_int_2(B, A) & r1_int_4(A, C))  => r1_int_4(A, k1_integra2(C, B))) ) ) ) ) ) ) ).
fof(dt_k1_int_4, axiom,  (! [A] :  (v1_int_1(A) => m1_subset_1(k1_int_4(A), k1_zfmisc_1(k2_zfmisc_1(k4_numbers, k4_numbers)))) ) ).
fof(t48_int_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => r1_int_4(A, a_1_0_int_4(A))) ) ).
fof(fraenkel_a_1_0_int_4, axiom,  (! [A, B] :  (m1_subset_1(B, k4_ordinal1) =>  (r2_hidden(A, a_1_0_int_4(B)) <=>  (? [C] :  (v7_ordinal1(C) &  (A=C &  ~ (r1_xxreal_0(B, C)) ) ) ) ) ) ) ).
fof(t1_int_5, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ( (r1_int_1(A, B) & r1_int_1(A, C))  => r1_int_1(A, k6_xcmplx_0(B, C))) ) ) ) ) ) ) ).
fof(t2_int_5, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ( (r1_int_1(A, B) & r1_int_1(A, k6_xcmplx_0(B, C)))  => r1_int_1(A, C)) ) ) ) ) ) ) ).
fof(d1_int_5, axiom,  (! [A] :  (m2_finseq_1(A, k4_numbers) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_numbers, k4_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_numbers, k4_numbers)))) )  =>  (B=k1_int_5(A) <=>  (! [C] :  (m1_subset_1(C, k4_numbers) =>  (? [D] :  (m2_finseq_1(D, k4_numbers) &  (k3_finseq_1(D)=k3_finseq_1(A) &  ( (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) => k1_funct_1(D, E)=k3_xcmplx_0(k1_funct_1(A, E), k1_newton(C, k7_nat_d(E, 1)))) ) )  & k3_funct_2(k4_numbers, k4_numbers, B, C)=k1_gr_cy_1(D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_int_5, axiom,  (! [A] :  (m2_finseq_1(A, k4_numbers) =>  (k3_finseq_1(A)=1 => k1_int_5(A)=k7_funcop_1(k4_numbers, k1_funct_1(A, 1))) ) ) ).
fof(t4_int_5, axiom,  (! [A] :  (m2_finseq_1(A, k4_numbers) =>  (k3_finseq_1(A)=1 =>  (! [B] :  (m1_subset_1(B, k4_numbers) => k3_funct_2(k4_numbers, k4_numbers, k1_int_5(A), B)=k1_funct_1(A, 1)) ) ) ) ) ).
fof(t5_int_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  ~ ( (k3_finseq_1(B)=k1_nat_1(A, 1) &  (k3_finseq_1(C)=k3_finseq_1(B) &  (k3_finseq_1(D)=k3_finseq_1(B) &  ( (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(B)) => k1_funct_1(B, E)=k6_xcmplx_0(k1_funct_1(C, E), k1_funct_1(D, E))) ) )  &  (! [E] :  (m2_finseq_1(E, k1_numbers) =>  ~ ( (k3_finseq_1(E)=k6_xcmplx_0(k3_finseq_1(B), 1) &  ( (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k4_finseq_1(E)) => k1_funct_1(E, F)=k6_xcmplx_0(k1_funct_1(C, F), k1_funct_1(D, k1_nat_1(F, 1)))) ) )  & k18_rvsum_1(B)=k6_xcmplx_0(k2_xcmplx_0(k18_rvsum_1(E), k1_funct_1(C, k1_nat_1(A, 1))), k1_funct_1(D, 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_int_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k4_numbers) =>  (k3_finseq_1(B)=k1_nat_1(A, 2) =>  (! [C] :  (v1_int_1(C) =>  (? [D] :  (m2_finseq_1(D, k4_numbers) &  (? [E] :  (v1_int_1(E) &  (k3_finseq_1(D)=k1_nat_1(A, 1) &  ( (! [F] :  (m1_subset_1(F, k4_numbers) => k3_funct_2(k4_numbers, k4_numbers, k1_int_5(B), F)=k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(F, C), k3_funct_2(k4_numbers, k4_numbers, k1_int_5(D), F)), E)) )  & k1_funct_1(B, k1_nat_1(A, 2))=k1_funct_1(D, k1_nat_1(A, 1))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_int_5, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( (v7_ordinal1(C) & v1_int_2(C))  =>  ~ ( (r1_int_1(C, k3_xcmplx_0(A, B)) &  ( ~ (r1_int_1(C, A))  &  ~ (r1_int_1(C, B)) ) ) ) ) ) ) ) ) ) ).
fof(t8_int_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (! [C] :  (m2_finseq_1(C, k4_numbers) =>  (k3_finseq_1(C)=k1_nat_1(A, 1) =>  (r1_xxreal_0(B, 2) |  (r1_int_1(B, k1_funct_1(C, k1_nat_1(A, 1))) |  (! [D] :  (m2_finseq_1(D, k4_numbers) =>  ( ( (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) => k5_int_1(k1_funct_1(k1_int_5(C), k1_funct_1(D, E)), B)=k5_numbers) ) )  &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r2_tarski(E, k4_finseq_1(D)) &  (r2_tarski(F, k4_finseq_1(D)) &  ( ~ (E=F)  & r2_int_1(k1_funct_1(D, E), k1_funct_1(D, F), B)) ) ) ) ) ) ) ) )  => r1_xxreal_0(k3_finseq_1(D), A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_int_5, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_int_5(A, B) <=>  (? [C] :  (v1_int_1(C) & k5_int_1(k6_xcmplx_0(k1_pepin(C), A), B)=k5_numbers) ) ) ) ) ) ) ).
fof(t9_int_5, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v7_ordinal1(B) => r1_int_5(k1_pepin(A), B)) ) ) ) ).
fof(t10_int_5, axiom, r1_int_5(1, 2)).
fof(t11_int_5, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_int_5(A, C) & r2_int_1(A, B, C))  => r1_int_5(B, C)) ) ) ) ) ) ) ).
fof(t12_int_5, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (r1_int_1(A, B) => k3_int_2(A, B)=k1_int_2(A)) ) ) ) ) ).
fof(t13_int_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  (k5_int_1(B, D)=k5_int_1(C, D) => k5_int_1(k1_newton(B, A), D)=k5_int_1(k1_newton(C, A), D)) ) ) ) ) ) ) ) ) ).
fof(t14_int_5, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( (v7_ordinal1(C) & v1_int_2(C))  =>  ( (k3_int_2(A, C)=1 & k5_int_1(k6_xcmplx_0(k1_pepin(B), A), C)=k5_numbers)  => r1_int_2(B, C)) ) ) ) ) ) ) ).
fof(t15_int_5, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  ~ ( ( ~ (r1_xxreal_0(B, 2))  &  (k3_int_2(A, B)=1 &  (r1_int_5(A, B) &  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  ~ ( (k5_int_1(k6_xcmplx_0(k1_pepin(C), A), B)=k5_numbers &  (k5_int_1(k6_xcmplx_0(k1_pepin(D), A), B)=k5_numbers &  ~ (r2_int_1(C, D, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_int_5, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  ~ ( ( ~ (r1_xxreal_0(A, 2))  &  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  ~ ( (k3_finseq_1(B)=k3_nat_d(k7_nat_d(A, 1), 2) &  ( (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => k3_int_2(k1_recdef_1(B, C), A)=1) ) )  &  ( (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => r1_int_5(k1_recdef_1(B, C), A)) ) )  &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(C, k4_finseq_1(B)) &  (r2_tarski(D, k4_finseq_1(B)) &  ( ~ (C=D)  & r2_int_1(k1_recdef_1(B, C), k1_recdef_1(B, D), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_int_5, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  ( (k3_int_2(A, B)=1 & r1_int_5(A, B))  =>  (r1_xxreal_0(B, 2) | k5_int_1(k1_newton(A, k3_nat_d(k7_nat_d(B, 1), 2)), B)=1) ) ) ) ) ) ).
fof(t18_int_5, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (k3_int_2(B, A)=1 =>  (r1_xxreal_0(A, 2) |  (r1_int_5(B, A) | k4_nat_d(k1_newton(B, k3_nat_d(k7_nat_d(A, 1), 2)), A)=k6_xcmplx_0(A, 1)) ) ) ) ) ) ) ).
fof(t19_int_5, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (k3_int_2(A, B)=1 =>  (r1_xxreal_0(B, 2) |  (r1_int_5(A, B) | k5_int_1(k1_newton(A, k3_nat_d(k7_nat_d(B, 1), 2)), B)=k6_xcmplx_0(B, 1)) ) ) ) ) ) ) ).
fof(t20_int_5, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  ( (k3_int_2(A, B)=1 & r1_int_5(A, B))  =>  (r1_xxreal_0(B, 2) | k5_int_1(k6_xcmplx_0(k1_newton(A, k3_nat_d(k7_nat_d(B, 1), 2)), 1), B)=k5_numbers) ) ) ) ) ) ).
fof(t21_int_5, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (k3_int_2(A, B)=1 =>  (r1_xxreal_0(B, 2) |  (r1_int_5(A, B) | k5_int_1(k2_xcmplx_0(k1_newton(A, k3_nat_d(k7_nat_d(B, 1), 2)), 1), B)=k5_numbers) ) ) ) ) ) ) ).
fof(t22_int_5, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (! [C] :  (v1_int_1(C) =>  ( (r1_int_5(A, B) & r1_int_5(C, B))  => r1_int_5(k3_xcmplx_0(A, C), B)) ) ) ) ) ) ) ).
fof(t23_int_5, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (! [C] :  (v1_int_1(C) =>  ~ ( ( ~ (r1_xxreal_0(B, 2))  &  (k3_int_2(A, B)=1 &  (k3_int_2(C, B)=1 &  (r1_int_5(A, B) &  ( ~ (r1_int_5(C, B))  & r1_int_5(k3_xcmplx_0(A, C), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_int_5, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (! [C] :  (v1_int_1(C) =>  ( (k3_int_2(A, B)=1 & k3_int_2(C, B)=1)  =>  (r1_xxreal_0(B, 2) |  (r1_int_5(A, B) |  (r1_int_5(C, B) | r1_int_5(k3_xcmplx_0(A, C), B)) ) ) ) ) ) ) ) ) ) ).
fof(d3_int_5, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  ( (r1_int_5(A, B) =>  (k5_int_1(A, B)=k5_numbers | k2_int_5(A, B)=1) )  &  ( ( (r1_int_5(A, B) & k5_int_1(A, B)=k5_numbers)  => k2_int_5(A, B)=k5_numbers)  &  ~ ( ( ~ ( (r1_int_5(A, B) &  ~ (k5_int_1(A, B)=k5_numbers) ) )  &  ( ~ ( (r1_int_5(A, B) & k5_int_1(A, B)=k5_numbers) )  &  ~ (k2_int_5(A, B)=k4_xcmplx_0(1)) ) ) ) ) ) ) ) ) ) ).
fof(t25_int_5, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  ~ ( ( ~ (k2_int_5(A, B)=1)  &  ( ~ (k2_int_5(A, B)=k5_numbers)  &  ~ (k2_int_5(A, B)=k4_xcmplx_0(1)) ) ) ) ) ) ) ) ).
fof(t26_int_5, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  ( ~ (k5_int_1(A, B)=k5_numbers)  => k2_int_5(k1_pepin(A), B)=1) ) ) ) ) ).
fof(t27_int_5, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  => k2_int_5(1, A)=1) ) ).
fof(t28_int_5, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (k3_int_2(A, B)=1 =>  (r1_xxreal_0(B, 2) | r2_int_1(k2_int_5(A, B), k1_newton(A, k3_nat_d(k7_nat_d(B, 1), 2)), B)) ) ) ) ) ) ).
fof(t29_int_5, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (! [C] :  (v1_int_1(C) =>  ( (k3_int_2(A, B)=1 & r2_int_1(A, C, B))  =>  (r1_xxreal_0(B, 2) | k2_int_5(A, B)=k2_int_5(C, B)) ) ) ) ) ) ) ) ).
fof(t30_int_5, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (! [C] :  (v1_int_1(C) =>  ( (k3_int_2(A, B)=1 & k3_int_2(C, B)=1)  =>  (r1_xxreal_0(B, 2) | k2_int_5(k3_xcmplx_0(A, C), B)=k3_xcmplx_0(k2_int_5(A, B), k2_int_5(C, B))) ) ) ) ) ) ) ) ).
fof(t31_int_5, axiom,  (! [A] :  (m2_finseq_1(A, k4_numbers) =>  ~ ( ( (! [B] :  (v7_ordinal1(B) =>  ~ ( (r2_tarski(B, k4_finseq_1(A)) &  ( ~ (k1_funct_1(A, B)=1)  &  ( ~ (k1_funct_1(A, B)=k5_numbers)  &  ~ (k1_funct_1(A, B)=k4_xcmplx_0(1)) ) ) ) ) ) )  &  ( ~ (k19_rvsum_1(A)=1)  &  ( ~ (k19_rvsum_1(A)=k5_numbers)  &  ~ (k19_rvsum_1(A)=k4_xcmplx_0(1)) ) ) ) ) ) ) ).
fof(t32_int_5, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (m2_finseq_1(B, k4_numbers) =>  (! [C] :  (m2_finseq_1(C, k4_numbers) =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(B)) => r2_int_1(k1_funct_1(B, D), k1_funct_1(C, D), A)) ) ) )  => r2_int_1(k19_rvsum_1(B), k19_rvsum_1(C), A)) ) ) ) ) ) ) ).
fof(t33_int_5, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (m2_finseq_1(B, k4_numbers) =>  (! [C] :  (m2_finseq_1(C, k4_numbers) =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(B)) => r2_int_1(k1_funct_1(B, D), k4_xcmplx_0(k1_funct_1(C, D)), A)) ) ) )  => r2_int_1(k19_rvsum_1(B), k3_xcmplx_0(k1_newton(k4_xcmplx_0(1), k3_finseq_1(B)), k19_rvsum_1(C)), A)) ) ) ) ) ) ) ).
fof(t34_int_5, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  ~ ( ( ~ (r1_xxreal_0(A, 2))  &  ( (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => k3_int_2(k1_recdef_1(B, C), A)=1) ) )  &  (! [C] :  (m2_finseq_1(C, k4_numbers) =>  ~ ( (k3_finseq_1(C)=k3_finseq_1(B) &  ( (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(C)) => k1_funct_1(C, D)=k2_int_5(k1_recdef_1(B, D), A)) ) )  & k2_int_5(k2_wsierp_1(B), A)=k19_rvsum_1(C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_int_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v7_ordinal1(C) & v1_int_2(C))  =>  ( (k3_int_2(A, C)=1 & k3_int_2(B, C)=1)  =>  (r1_xxreal_0(C, 2) | k2_int_5(k3_xcmplx_0(k1_pepin(A), B), C)=k2_int_5(B, C)) ) ) ) ) ) ) ) ).
fof(t36_int_5, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  ( ~ (r1_xxreal_0(A, 2))  => k2_int_5(k4_xcmplx_0(1), A)=k1_newton(k4_xcmplx_0(1), k3_nat_d(k7_nat_d(A, 1), 2))) ) ) ).
fof(t37_int_5, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (k4_nat_d(A, 4)=1 =>  (r1_xxreal_0(A, 2) | r1_int_5(k4_xcmplx_0(1), A)) ) ) ) ).
fof(t38_int_5, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  ~ ( ( ~ (r1_xxreal_0(A, 2))  &  (k4_nat_d(A, 4)=3 & r1_int_5(k4_xcmplx_0(1), A)) ) ) ) ) ).
fof(t39_int_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (v2_funct_1(B) <=> v2_funct_1(k2_finseq_7(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t40_int_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  ( (k3_finseq_1(B)=A &  ( (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) =>  ( ~ (r1_xxreal_0(k1_recdef_1(B, C), k5_numbers))  & r1_xxreal_0(k1_recdef_1(B, C), A)) ) ) )  & v2_funct_1(B)) )  => k2_relset_1(k4_ordinal1, B)=k2_finseq_1(A)) ) ) ) ) ).
fof(t42_int_5, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  ( ~ (r1_xxreal_0(A, 2))  => k2_int_5(2, A)=k1_newton(k4_xcmplx_0(1), k3_nat_d(k7_nat_d(k1_pepin(A), 1), 8))) ) ) ).
fof(t43_int_5, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  ~ ( ( ~ (r1_xxreal_0(A, 2))  &  ( (k4_nat_d(A, 8)=1 | k4_nat_d(A, 8)=7)  &  ~ (r1_int_5(2, A)) ) ) ) ) ) ).
fof(t44_int_5, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  ~ ( ( ~ (r1_xxreal_0(A, 2))  &  ( (k4_nat_d(A, 8)=3 | k4_nat_d(A, 8)=5)  & r1_int_5(2, A)) ) ) ) ) ).
fof(t45_int_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (k4_nat_d(A, 2)=k4_nat_d(B, 2) => k1_newton(k4_xcmplx_0(1), A)=k1_newton(k4_xcmplx_0(1), B)) ) ) ) ) ).
fof(t46_int_5, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  ( (k3_finseq_1(A)=k3_finseq_1(C) & k3_finseq_1(B)=k3_finseq_1(D))  => k8_rvsum_1(k8_finseq_1(k1_numbers, A, B), k8_finseq_1(k1_numbers, C, D))=k8_finseq_1(k1_numbers, k8_rvsum_1(A, C), k8_rvsum_1(B, D))) ) ) ) ) ) ) ) ) ).
fof(t47_int_5, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (v1_xreal_0(B) => k18_rvsum_1(k8_rvsum_1(k2_finseq_2(k3_finseq_1(A), B), A))=k6_xcmplx_0(k3_xcmplx_0(k3_finseq_1(A), B), k18_rvsum_1(A))) ) ) ) ).
fof(t48_int_5, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m2_finseq_1(B, k1_zfmisc_1(A)) =>  ( (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(C, k4_finseq_1(B)) & r2_tarski(D, k4_finseq_1(B)))  =>  (C=D | r1_xboole_0(k1_funct_1(B, C), k1_funct_1(B, D))) ) ) ) ) )  => k4_card_1(k3_tarski(k2_relset_1(k1_zfmisc_1(A), B)))=k1_wsierp_1(k3_int_5(A, B))) ) ) ) ) ).
fof(t49_int_5, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  ~ ( ( ~ (r1_xxreal_0(A, 2))  &  ( ~ (r1_xxreal_0(B, 2))  &  ( ~ (A=B)  &  ~ (k3_xcmplx_0(k2_int_5(A, B), k2_int_5(B, A))=k1_newton(k4_xcmplx_0(1), k2_nat_1(k3_nat_d(k7_nat_d(A, 1), 2), k3_nat_d(k7_nat_d(B, 1), 2)))) ) ) ) ) ) ) ) ) ).
fof(t50_int_5, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  ( (k4_nat_d(A, 4)=3 & k4_nat_d(B, 4)=3)  =>  (r1_xxreal_0(A, 2) |  (r1_xxreal_0(B, 2) |  (A=B | k2_int_5(A, B)=k4_xcmplx_0(k2_int_5(B, A))) ) ) ) ) ) ) ) ).
fof(t51_int_5, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  ~ ( ( ~ (r1_xxreal_0(A, 2))  &  ( ~ (r1_xxreal_0(B, 2))  &  ( ~ (A=B)  &  ( (k4_nat_d(A, 4)=1 | k4_nat_d(B, 4)=1)  &  ~ (k2_int_5(A, B)=k2_int_5(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_int_5, axiom,  (! [A] :  (m1_finseq_1(A, k4_numbers) =>  (v1_funct_1(k1_int_5(A)) &  (v1_funct_2(k1_int_5(A), k4_numbers, k4_numbers) & m1_subset_1(k1_int_5(A), k1_zfmisc_1(k2_zfmisc_1(k4_numbers, k4_numbers)))) ) ) ) ).
fof(dt_k2_int_5, axiom,  (! [A, B] :  ( (v1_int_1(A) &  (v7_ordinal1(B) & v1_int_2(B)) )  => v1_int_1(k2_int_5(A, B))) ) ).
fof(dt_k3_int_5, axiom,  (! [A, B] :  ( (v1_finset_1(A) & m1_finseq_1(B, k1_zfmisc_1(A)))  =>  (v1_card_3(k3_int_5(A, B)) & m2_finseq_1(k3_int_5(A, B), k4_ordinal1)) ) ) ).
fof(redefinition_k3_int_5, axiom,  (! [A, B] :  ( (v1_finset_1(A) & m1_finseq_1(B, k1_zfmisc_1(A)))  => k3_int_5(A, B)=k1_card_3(B)) ) ).
fof(t41_int_5, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  ( (k3_int_2(B, A)=1 &  (D=k10_rvsum_1(k1_finseq_2(k3_nat_d(k7_nat_d(A, 1), 2)), B) & C=k1_card_1(a_2_0_int_5(A, D))) )  =>  (r1_xxreal_0(A, 2) | k2_int_5(B, A)=k1_newton(k4_xcmplx_0(1), C)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_int_5, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(B) & v1_int_2(B))  & m2_finseq_1(C, k4_ordinal1))  =>  (r2_hidden(A, a_2_0_int_5(B, C)) <=>  (? [D] :  (m1_subset_1(D, k4_ordinal1) &  (A=D &  (r2_tarski(D, k2_relset_1(k4_ordinal1, k2_euler_2(C, B))) &  ~ (r1_xxreal_0(D, k7_xcmplx_0(B, 2))) ) ) ) ) ) ) ) ).
fof(fc1_int_6, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_valued_0(A)) ) )  & v7_ordinal1(B))  =>  (v1_relat_1(k16_finseq_1(B, A)) &  (v1_funct_1(k16_finseq_1(B, A)) &  (v1_finseq_1(k16_finseq_1(B, A)) & v1_valued_0(k16_finseq_1(B, A))) ) ) ) ) ).
fof(fc2_int_6, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  & v7_ordinal1(B))  =>  (v1_relat_1(k16_finseq_1(B, A)) &  (v5_relat_1(k16_finseq_1(B, A), k4_numbers) &  (v1_funct_1(k16_finseq_1(B, A)) & v1_finseq_1(k16_finseq_1(B, A))) ) ) ) ) ).
fof(fc3_int_6, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  & v7_ordinal1(B))  =>  (v1_relat_1(k1_rfinseq(B, A)) &  (v5_relat_1(k1_rfinseq(B, A), k4_numbers) &  (v1_funct_1(k1_rfinseq(B, A)) & v1_finseq_1(k1_rfinseq(B, A))) ) ) ) ) ).
fof(fc4_int_6, axiom,  (! [A] :  (v1_int_1(A) => v5_relat_1(k5_finseq_1(A), k4_numbers)) ) ).
fof(fc5_int_6, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) &  (v5_relat_1(B, k4_numbers) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v5_relat_1(k7_finseq_1(A, B), k4_numbers) &  (v1_funct_1(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc6_int_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  =>  (v1_xcmplx_0(k16_rvsum_1(A)) & v1_int_1(k16_rvsum_1(A))) ) ) ).
fof(fc7_int_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  =>  (v1_xcmplx_0(k19_rvsum_1(A)) & v1_int_1(k19_rvsum_1(A))) ) ) ).
fof(rc1_int_6, axiom,  (? [A] :  (v1_relat_1(A) &  ( ~ (v2_relat_1(A))  &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v1_valued_0(A) &  (v2_valued_0(A) & v3_valued_0(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_int_6, axiom,  (? [A] :  (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v1_valued_0(A) &  (v2_valued_0(A) & v3_valued_0(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_int_6, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) & v1_partfun3(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc4_int_6, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) &  (v1_partfun3(A) & v1_int_6(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_int_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) &  (v1_partfun3(A) & v1_int_6(A)) ) ) ) ) )  =>  (v1_relat_1(A) &  (v2_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) &  (v1_partfun3(A) & v1_int_6(A)) ) ) ) ) ) ) ) ) ).
fof(cc2_int_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v2_relat_1(A))  &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  =>  (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) ) ) ) ) ).
fof(fc8_int_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) &  (v1_partfun3(A) & v1_int_6(A)) ) ) ) ) )  =>  (v7_ordinal1(k19_rvsum_1(A)) &  (v1_xcmplx_0(k19_rvsum_1(A)) & v2_xxreal_0(k19_rvsum_1(A))) ) ) ) ).
fof(fc9_int_6, axiom,  (! [A, B] :  ( (v1_int_1(A) &  (v1_relat_1(B) &  (v5_relat_1(B, k4_numbers) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k1_int_6(A, B)) &  (v5_relat_1(k1_int_6(A, B), k4_numbers) &  (v1_funct_1(k1_int_6(A, B)) & v1_finseq_1(k1_int_6(A, B))) ) ) ) ) ).
fof(cc3_int_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) &  (v1_partfun3(A) & v1_int_6(A)) ) ) ) ) )  =>  (! [B] :  (m1_int_6(B, A) => v5_relat_1(B, k4_numbers)) ) ) ) ).
fof(t1_int_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_valued_0(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_valued_0(B)) ) )  => k3_finseq_1(k1_valued_1(A, B))=k4_nat_1(k3_finseq_1(A), k3_finseq_1(B))) ) ) ) ).
fof(t2_int_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_valued_0(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_valued_0(B)) ) )  => k3_finseq_1(k45_valued_1(A, B))=k4_nat_1(k3_finseq_1(A), k3_finseq_1(B))) ) ) ) ).
fof(t3_int_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_valued_0(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_valued_0(B)) ) )  => k3_finseq_1(k18_valued_1(A, B))=k4_nat_1(k3_finseq_1(A), k3_finseq_1(B))) ) ) ) ).
fof(t4_int_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_valued_0(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_valued_0(B)) ) )  =>  (k3_finseq_1(A)=k3_finseq_1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(C, k3_finseq_1(A)) => k16_finseq_1(C, k18_valued_1(A, B))=k18_valued_1(k16_finseq_1(C, A), k16_finseq_1(C, B))) ) ) ) ) ) ) ) ).
fof(t5_int_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_valued_0(A)) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(k1_nat_1(B, 1), k3_finseq_1(A)) => k7_finseq_1(k16_finseq_1(B, A), k9_finseq_1(k1_funct_1(A, k1_nat_1(B, 1))))=k16_finseq_1(k1_nat_1(B, 1), A)) ) ) ) ) ).
fof(t6_int_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_valued_0(A)) ) )  =>  ( (? [B] :  (v7_ordinal1(B) &  (r2_tarski(B, k4_finseq_1(A)) & k1_funct_1(A, B)=k5_numbers) ) )  => k19_rvsum_1(A)=k5_numbers) ) ) ).
fof(t7_int_6, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) => k5_int_1(k6_xcmplx_0(B, C), A)=k5_int_1(k6_xcmplx_0(k5_int_1(B, A), k5_int_1(C, A)), A)) ) ) ) ) ) ).
fof(t8_int_6, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (r1_int_1(A, B) => r1_int_1(k3_xcmplx_0(C, A), k3_xcmplx_0(C, B))) ) ) ) ) ) ) ).
fof(t9_int_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k4_finseq_1(A)) =>  (k1_funct_1(A, B)=k5_numbers | v1_int_1(k7_xcmplx_0(k19_rvsum_1(A), k1_funct_1(A, B)))) ) ) ) ) ) ).
fof(t10_int_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r2_tarski(B, k4_finseq_1(A)) &  (! [C] :  (v1_int_1(C) =>  ~ (k3_xcmplx_0(C, k1_funct_1(A, B))=k19_rvsum_1(A)) ) ) ) ) ) ) ) ) ).
fof(t11_int_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r2_tarski(B, k4_finseq_1(A)) & r2_tarski(C, k4_finseq_1(A)))  =>  (C=B |  (k1_funct_1(A, C)=k5_numbers | v1_int_1(k7_xcmplx_0(k19_rvsum_1(A), k3_xcmplx_0(k1_funct_1(A, B), k1_funct_1(A, C))))) ) ) ) ) ) ) ) ) ).
fof(t12_int_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(B, k4_finseq_1(A)) &  (r2_tarski(C, k4_finseq_1(A)) &  ( ~ (C=B)  &  ( ~ (k1_funct_1(A, C)=k5_numbers)  &  (! [D] :  (v1_int_1(D) =>  ~ (k3_xcmplx_0(D, k1_funct_1(A, B))=k7_xcmplx_0(k19_rvsum_1(A), k1_funct_1(A, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_int_6, axiom,  (! [A] :  (v1_int_1(A) =>  (r1_int_1(k1_int_2(A), A) & r1_int_1(A, k1_int_2(A))) ) ) ).
fof(t14_int_6, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) => k3_int_2(A, B)=k3_int_2(A, k1_int_2(B))) ) ) ) ).
fof(t15_int_6, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (r1_int_2(A, B) => k2_int_2(A, B)=k1_int_2(k3_xcmplx_0(A, B))) ) ) ) ) ).
fof(t16_int_6, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) => k3_int_2(k3_xcmplx_0(A, B), k3_xcmplx_0(A, C))=k3_xcmplx_0(k1_int_2(A), k3_int_2(B, C))) ) ) ) ) ) ).
fof(t17_int_6, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) => k3_int_2(k3_xcmplx_0(A, B), A)=k1_int_2(A)) ) ) ) ).
fof(t18_int_6, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) => k3_int_2(A, k3_int_2(B, C))=k3_int_2(k3_int_2(A, B), C)) ) ) ) ) ) ).
fof(t19_int_6, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (r1_int_2(A, B) => k3_int_2(A, k3_xcmplx_0(B, C))=k3_int_2(A, C)) ) ) ) ) ) ) ).
fof(t20_int_6, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (r1_int_2(A, B) => r1_int_1(k3_xcmplx_0(A, B), k2_int_2(A, B))) ) ) ) ) ).
fof(t21_int_6, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  ( (r1_int_2(C, D) &  (r2_int_1(A, B, C) & r2_int_1(A, B, D)) )  => r2_int_1(A, B, k3_xcmplx_0(C, D))) ) ) ) ) ) ) ) ) ).
fof(t22_int_6, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  ~ ( (r1_int_2(A, B) &  (! [C] :  (v1_int_1(C) =>  ~ (r2_int_1(k3_xcmplx_0(C, A), 1, B)) ) ) ) ) ) ) ) ) ).
fof(d1_int_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  =>  (v2_relat_1(A) <=>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r2_tarski(B, k4_finseq_1(A)) & k1_funct_1(A, B)=k5_numbers) ) ) ) ) ) ) ).
fof(t23_int_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v2_relat_1(A))  &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  => k19_rvsum_1(A)=k5_numbers) ) ).
fof(d2_int_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  =>  (v1_int_6(A) <=>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r2_tarski(B, k4_finseq_1(A)) & r2_tarski(C, k4_finseq_1(A)))  =>  (B=C | r1_int_2(k1_funct_1(A, B), k1_funct_1(A, C))) ) ) ) ) ) ) ) ) ).
fof(t24_int_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) &  (v1_partfun3(A) & v1_int_6(A)) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(B, k3_finseq_1(A)) =>  (r1_xxreal_0(B, k5_numbers) |  (v1_relat_1(k16_finseq_1(B, A)) &  (v5_relat_1(k16_finseq_1(B, A), k4_numbers) &  (v1_funct_1(k16_finseq_1(B, A)) &  ( ~ (v1_xboole_0(k16_finseq_1(B, A)))  &  (v1_finseq_1(k16_finseq_1(B, A)) &  (v1_partfun3(k16_finseq_1(B, A)) & v1_int_6(k16_finseq_1(B, A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_int_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) &  (v1_partfun3(A) & v1_int_6(A)) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k4_finseq_1(A)) =>  (! [C] :  (v1_int_1(C) =>  (C=k7_xcmplx_0(k19_rvsum_1(A), k1_funct_1(A, B)) => r1_int_2(C, k1_funct_1(A, B))) ) ) ) ) ) ) ) ).
fof(d3_int_6, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k4_numbers) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (C=k1_int_6(A, B) <=>  (k3_finseq_1(C)=k3_finseq_1(B) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(C)) => k1_funct_1(C, D)=k5_int_1(A, k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_int_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) &  (v1_partfun3(A) & v1_int_6(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (m1_int_6(B, A) <=>  (k3_finseq_1(B)=k3_finseq_1(A) &  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(C, k4_finseq_1(B)) &  (! [D] :  (v1_int_1(D) =>  (! [E] :  (v1_int_1(E) =>  ~ ( (E=k7_xcmplx_0(k19_rvsum_1(A), k1_funct_1(A, C)) &  (r2_int_1(k3_xcmplx_0(D, E), 1, k1_funct_1(A, C)) & k1_funct_1(B, C)=k3_xcmplx_0(D, k7_xcmplx_0(k19_rvsum_1(A), k1_funct_1(A, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_int_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) &  (v1_partfun3(A) & v1_int_6(A)) ) ) ) ) )  =>  (! [B] :  (m1_int_6(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => r2_int_1(k1_funct_1(B, C), 1, k1_funct_1(A, C))) ) ) ) ) ) ) ).
fof(t27_int_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) &  (v1_partfun3(A) & v1_int_6(A)) ) ) ) ) )  =>  (! [B] :  (m1_int_6(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(C, k4_finseq_1(B)) & r2_tarski(D, k4_finseq_1(B)))  =>  (C=D | r2_int_1(k1_funct_1(B, C), k5_numbers, k1_funct_1(A, D))) ) ) ) ) ) ) ) ) ) ).
fof(t28_int_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) &  (v1_partfun3(A) & v1_int_6(A)) ) ) ) ) )  =>  (! [B] :  (m1_int_6(B, A) =>  (! [C] :  (m1_int_6(C, A) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(B)) => r2_int_1(k1_funct_1(B, D), k1_funct_1(C, D), k1_funct_1(A, D))) ) ) ) ) ) ) ) ) ).
fof(t29_int_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k4_numbers) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finseq_1(B) &  (v1_partfun3(B) & v1_int_6(B)) ) ) ) ) )  =>  (k3_finseq_1(B)=k3_finseq_1(A) =>  (! [C] :  (m1_int_6(C, B) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(B)) => r2_int_1(k16_rvsum_1(k18_valued_1(A, C)), k1_funct_1(A, D), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t30_int_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k4_numbers) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finseq_1(B) &  (v1_partfun3(B) & v1_int_6(B)) ) ) ) ) )  =>  (k3_finseq_1(B)=k3_finseq_1(A) =>  (! [C] :  (m1_int_6(C, B) =>  (! [D] :  (m1_int_6(D, B) => r2_int_1(k16_rvsum_1(k18_valued_1(A, C)), k16_rvsum_1(k18_valued_1(A, D)), k19_rvsum_1(B))) ) ) ) ) ) ) ) ) ).
fof(d5_int_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k4_numbers) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finseq_1(B) &  (v1_partfun3(B) & v1_int_6(B)) ) ) ) ) )  =>  (k3_finseq_1(B)=k3_finseq_1(A) =>  (! [C] :  (v1_int_1(C) =>  (C=k2_int_6(A, B) <=>  (! [D] :  (m1_int_6(D, B) => C=k5_int_1(k16_rvsum_1(k18_valued_1(A, D)), k19_rvsum_1(B))) ) ) ) ) ) ) ) ) ) ).
fof(t31_int_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k4_numbers) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finseq_1(B) &  (v1_partfun3(B) & v1_int_6(B)) ) ) ) ) )  =>  (k3_finseq_1(B)=k3_finseq_1(A) =>  (r1_xxreal_0(k5_numbers, k2_int_6(A, B)) &  ~ (r1_xxreal_0(k19_rvsum_1(B), k2_int_6(A, B))) ) ) ) ) ) ) ).
fof(t32_int_6, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k4_numbers) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finseq_1(B) &  (v1_partfun3(B) & v1_int_6(B)) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => r2_int_1(A, k1_funct_1(k1_int_6(A, B), C), k1_funct_1(B, C))) ) ) ) ) ) ) ).
fof(t33_int_6, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k4_numbers) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v1_finseq_1(C) &  (v1_partfun3(C) & v1_int_6(C)) ) ) ) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(C)) => r2_int_1(k1_funct_1(k4_rvsum_1(k1_int_6(A, C), k1_int_6(B, C)), D), k2_xcmplx_0(A, B), k1_funct_1(C, D))) ) ) ) ) ) ) ) ) ).
fof(t34_int_6, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k4_numbers) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v1_finseq_1(C) &  (v1_partfun3(C) & v1_int_6(C)) ) ) ) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(C)) => r2_int_1(k1_funct_1(k18_valued_1(k1_int_6(A, C), k1_int_6(B, C)), D), k3_xcmplx_0(A, B), k1_funct_1(C, D))) ) ) ) ) ) ) ) ) ).
fof(t35_int_6, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k4_numbers) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v1_finseq_1(C) &  (v1_partfun3(C) & v1_int_6(C)) ) ) ) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(C)) => r2_int_1(k2_int_6(k4_rvsum_1(k1_int_6(A, C), k1_int_6(B, C)), C), k2_xcmplx_0(A, B), k1_funct_1(C, D))) ) ) ) ) ) ) ) ) ).
fof(t36_int_6, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k4_numbers) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v1_finseq_1(C) &  (v1_partfun3(C) & v1_int_6(C)) ) ) ) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(C)) => r2_int_1(k2_int_6(k8_rvsum_1(k1_int_6(A, C), k1_int_6(B, C)), C), k6_xcmplx_0(A, B), k1_funct_1(C, D))) ) ) ) ) ) ) ) ) ).
fof(t37_int_6, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k4_numbers) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v1_finseq_1(C) &  (v1_partfun3(C) & v1_int_6(C)) ) ) ) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(C)) => r2_int_1(k2_int_6(k18_valued_1(k1_int_6(A, C), k1_int_6(B, C)), C), k3_xcmplx_0(A, B), k1_funct_1(C, D))) ) ) ) ) ) ) ) ) ).
fof(t38_int_6, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k4_numbers) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v1_finseq_1(C) &  (v1_partfun3(C) & v1_int_6(C)) ) ) ) ) )  =>  (r1_xxreal_0(k5_numbers, k2_xcmplx_0(A, B)) =>  (r1_xxreal_0(k19_rvsum_1(C), k2_xcmplx_0(A, B)) | k2_int_6(k4_rvsum_1(k1_int_6(A, C), k1_int_6(B, C)), C)=k2_xcmplx_0(A, B)) ) ) ) ) ) ) ) ).
fof(t39_int_6, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k4_numbers) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v1_finseq_1(C) &  (v1_partfun3(C) & v1_int_6(C)) ) ) ) ) )  =>  (r1_xxreal_0(k5_numbers, k6_xcmplx_0(A, B)) =>  (r1_xxreal_0(k19_rvsum_1(C), k6_xcmplx_0(A, B)) | k2_int_6(k8_rvsum_1(k1_int_6(A, C), k1_int_6(B, C)), C)=k6_xcmplx_0(A, B)) ) ) ) ) ) ) ) ).
fof(t40_int_6, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k4_numbers) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v1_finseq_1(C) &  (v1_partfun3(C) & v1_int_6(C)) ) ) ) ) )  =>  (r1_xxreal_0(k5_numbers, k3_xcmplx_0(A, B)) =>  (r1_xxreal_0(k19_rvsum_1(C), k3_xcmplx_0(A, B)) | k2_int_6(k18_valued_1(k1_int_6(A, C), k1_int_6(B, C)), C)=k3_xcmplx_0(A, B)) ) ) ) ) ) ) ) ).
fof(t41_int_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k4_numbers) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finseq_1(B) &  (v1_partfun3(B) & v1_int_6(B)) ) ) ) ) )  =>  ~ ( (k3_finseq_1(A)=k3_finseq_1(B) &  (! [C] :  (v1_int_1(C) =>  ~ ( (r1_xxreal_0(k5_numbers, C) &  ( ~ (r1_xxreal_0(k19_rvsum_1(B), C))  &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(A)) => r2_int_1(C, k1_funct_1(A, D), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_int_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k4_numbers) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finseq_1(B) &  (v1_partfun3(B) & v1_int_6(B)) ) ) ) ) )  =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  ( (r1_xxreal_0(k5_numbers, C) &  ( (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(B)) => r2_int_1(C, k1_funct_1(A, E), k1_funct_1(B, E))) ) )  &  (r1_xxreal_0(k5_numbers, D) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(B)) => r2_int_1(D, k1_funct_1(A, E), k1_funct_1(B, E))) ) ) ) ) )  =>  (r1_xxreal_0(k19_rvsum_1(B), C) |  (r1_xxreal_0(k19_rvsum_1(B), D) | C=D) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_int_6, axiom,  (! [A, B] :  ( (v1_int_1(A) &  (v1_relat_1(B) &  (v5_relat_1(B, k4_numbers) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k1_int_6(A, B)) &  (v1_funct_1(k1_int_6(A, B)) & v1_finseq_1(k1_int_6(A, B))) ) ) ) ).
fof(dt_m1_int_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) &  (v1_partfun3(A) & v1_int_6(A)) ) ) ) ) )  =>  (! [B] :  (m1_int_6(B, A) =>  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) ) ) ) ).
fof(existence_m1_int_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) &  (v1_partfun3(A) & v1_int_6(A)) ) ) ) ) )  =>  (? [B] : m1_int_6(B, A)) ) ) ).
fof(dt_k2_int_6, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) &  (v5_relat_1(B, k4_numbers) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finseq_1(B) &  (v1_partfun3(B) & v1_int_6(B)) ) ) ) ) ) )  => v1_int_1(k2_int_6(A, B))) ) ).
fof(fc1_int_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (v1_relat_1(k13_nat_3(A)) &  (v4_relat_1(k13_nat_3(A), k8_newton) &  (v1_funct_1(k13_nat_3(A)) &  (v1_partfun1(k13_nat_3(A), k8_newton) & v1_int_7(k13_nat_3(A))) ) ) ) ) ) ).
fof(fc2_int_7, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  ( ~ (v2_struct_0(k3_int_7(A)))  &  (v8_struct_0(k3_int_7(A)) &  (v2_group_1(k3_int_7(A)) &  (v3_group_1(k3_int_7(A)) & v5_group_1(k3_int_7(A))) ) ) ) ) ) ).
fof(t1_int_7, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, B)) ) )  =>  (k13_pre_poly(C)=k1_tarski(A) => r6_pboole(B, C, k1_funct_7(k8_funcop_1(k4_ordinal1, B, k5_numbers), A, k1_funct_1(C, A)))) ) ) ) ) ).
fof(t2_int_7, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v3_valued_0(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v3_valued_0(C)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) & v3_valued_0(D)) ) ) )  =>  ( (k3_xboole_0(k13_pre_poly(B), k13_pre_poly(C))=k1_xboole_0 &  (k2_xboole_0(k13_pre_poly(B), k13_pre_poly(C))=k13_pre_poly(D) &  (k5_relat_1(B, k13_pre_poly(B))=k5_relat_1(D, k13_pre_poly(B)) & k5_relat_1(C, k13_pre_poly(C))=k5_relat_1(D, k13_pre_poly(C))) ) )  => r6_pboole(A, k11_pre_poly(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t3_int_7, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (k5_relat_1(B, k13_pre_poly(B))=k5_relat_1(C, k13_pre_poly(C)) => r6_pboole(A, B, C)) ) ) ) ) ) ).
fof(t4_int_7, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  ( (k22_pre_poly(A, B)=k1_xboole_0 & k22_pre_poly(A, C)=k1_xboole_0)  => r6_pboole(A, B, C)) ) ) ) ) ) ).
fof(d1_int_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k8_newton) &  (v1_funct_1(A) &  (v1_partfun1(A, k8_newton) &  (v4_valued_0(A) & v2_pre_poly(A)) ) ) ) )  =>  (v1_int_7(A) <=>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  ~ ( (r2_tarski(B, k22_pre_poly(k8_newton, A)) &  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  & k1_recdef_1(A, B)=k1_newton(B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_int_7, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_int_1(A, k3_xcmplx_0(D, k1_newton(B, C))) =>  (A=B | r1_int_1(A, D)) ) ) ) ) ) ) ) ) ) ).
fof(t6_int_7, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k8_newton) &  (v1_funct_1(B) &  (v1_partfun1(B, k8_newton) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v7_ordinal1(C) & v1_int_2(C))  =>  ( (v1_int_7(B) &  (r1_int_1(C, k8_nat_3(k8_newton, B)) &  (k8_nat_3(k8_newton, B)=k2_wsierp_1(A) & A=k3_relat_1(k20_finseq_1(k22_pre_poly(k8_newton, B)), B)) ) )  =>  (k8_nat_3(k8_newton, B)=1 | r2_tarski(C, k22_pre_poly(k8_newton, B))) ) ) ) ) ) ) ) ).
fof(t7_int_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k8_newton) &  (v1_funct_1(A) &  (v1_partfun1(A, k8_newton) &  (v4_valued_0(A) & v2_pre_poly(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k8_newton) &  (v1_funct_1(B) &  (v1_partfun1(B, k8_newton) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  ( (r1_tarski(k22_pre_poly(k8_newton, A), k22_pre_poly(k8_newton, B)) & k5_relat_1(A, k22_pre_poly(k8_newton, A))=k5_relat_1(B, k22_pre_poly(k8_newton, A)))  => r1_int_1(k8_nat_3(k8_newton, A), k8_nat_3(k8_newton, B))) ) ) ) ) ).
fof(t8_int_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k8_newton) &  (v1_funct_1(A) &  (v1_partfun1(A, k8_newton) &  (v4_valued_0(A) & v2_pre_poly(A)) ) ) ) )  =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (v1_int_7(A) =>  (r1_int_1(B, k8_nat_3(k8_newton, A)) <=> r2_tarski(B, k22_pre_poly(k8_newton, A))) ) ) ) ) ) ).
fof(t9_int_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (C=k2_int_2(A, B) => k22_pre_poly(k8_newton, k13_nat_3(C))=k4_subset_1(k8_newton, k22_pre_poly(k8_newton, k13_nat_3(A)), k22_pre_poly(k8_newton, k13_nat_3(B)))) ) ) ) ) ) ) ).
fof(t10_int_7, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  => k22_pre_poly(A, k5_nat_3(A, B, C))=k9_subset_1(A, k22_pre_poly(A, B), k22_pre_poly(A, C))) ) ) ) ) ).
fof(t11_int_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (C=k3_int_2(A, B) => k22_pre_poly(k8_newton, k13_nat_3(C))=k9_subset_1(k8_newton, k22_pre_poly(k8_newton, k13_nat_3(A)), k22_pre_poly(k8_newton, k13_nat_3(B)))) ) ) ) ) ) ) ).
fof(t12_int_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k8_newton) &  (v1_funct_1(A) &  (v1_partfun1(A, k8_newton) &  (v4_valued_0(A) & v2_pre_poly(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k8_newton) &  (v1_funct_1(B) &  (v1_partfun1(B, k8_newton) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  ( (v1_int_7(A) &  (v1_int_7(B) & r1_xboole_0(k22_pre_poly(k8_newton, A), k22_pre_poly(k8_newton, B))) )  => r1_int_2(k8_nat_3(k8_newton, A), k8_nat_3(k8_newton, B))) ) ) ) ) ).
fof(t13_int_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k8_newton) &  (v1_funct_1(A) &  (v1_partfun1(A, k8_newton) &  (v4_valued_0(A) & v2_pre_poly(A)) ) ) ) )  =>  ~ ( (v1_int_7(A) & k8_nat_3(k8_newton, A)=k5_numbers) ) ) ) ).
fof(t14_int_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k8_newton) &  (v1_funct_1(A) &  (v1_partfun1(A, k8_newton) &  (v4_valued_0(A) & v2_pre_poly(A)) ) ) ) )  =>  (v1_int_7(A) =>  (k8_nat_3(k8_newton, A)=1 <=> k22_pre_poly(k8_newton, A)=k1_xboole_0) ) ) ) ).
fof(t15_int_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k8_newton) &  (v1_funct_1(A) &  (v1_partfun1(A, k8_newton) &  (v4_valued_0(A) & v2_pre_poly(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k8_newton) &  (v1_funct_1(B) &  (v1_partfun1(B, k8_newton) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  ( (v1_int_7(A) &  (v1_int_7(B) & k8_nat_3(k8_newton, A)=k8_nat_3(k8_newton, B)) )  => r8_pboole(k8_newton, A, B)) ) ) ) ) ).
fof(t16_int_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k8_newton) &  (v1_funct_1(A) &  (v1_partfun1(A, k8_newton) &  (v4_valued_0(A) & v2_pre_poly(A)) ) ) ) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  ( (v1_int_7(A) & B=k8_nat_3(k8_newton, A))  => r8_pboole(k8_newton, k13_nat_3(B), A)) ) ) ) ) ).
fof(t17_int_7, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ~ ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(1, B) &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ~ ( (k2_int_2(A, B)=k2_nat_1(D, C) &  (k3_int_2(D, C)=1 &  (r1_int_1(D, A) &  (r1_int_1(C, B) &  ( ~ (D=k5_numbers)  &  ~ (C=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_int_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, 1))  => k1_int_7(A)=k7_subset_1(k4_ordinal1, k5_card_1(A), k6_domain_1(k4_ordinal1, k5_numbers))) ) ) ).
fof(t18_int_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, 1))  => k4_card_1(k1_int_7(A))=k6_xcmplx_0(A, 1)) ) ) ).
fof(d3_int_7, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  => k2_int_7(A)=k1_realset1(k7_int_3(A), k1_int_7(A))) ) ).
fof(t19_int_7, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (v3_group_1(g3_algstr_0(k1_int_7(A), k2_int_7(A))) &  (v5_group_1(g3_algstr_0(k1_int_7(A), k2_int_7(A))) & v2_group_1(g3_algstr_0(k1_int_7(A), k2_int_7(A)))) ) ) ) ).
fof(d4_int_7, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  => k3_int_7(A)=g3_algstr_0(k1_int_7(A), k2_int_7(A))) ) ).
fof(t20_int_7, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_int_7(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_int_7(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_int_3(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_int_3(A))) =>  ( (B=D & C=E)  => k8_group_1(k3_int_7(A), B, C)=k8_group_1(k9_int_3(A), D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_int_7, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (k1_group_1(k3_int_7(A))=1 & k1_group_1(k3_int_7(A))=k5_struct_0(k9_int_3(A))) ) ) ).
fof(t22_int_7, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_int_7(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (B=C => k2_group_1(k3_int_7(A), B)=k9_algstr_0(k9_int_3(A), C)) ) ) ) ) ) ) ).
fof(t23_int_7, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  => k7_group_1(k3_int_7(A))=k6_xcmplx_0(A, 1)) ) ).
fof(t24_int_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_int_1(C) =>  ~ ( ( ~ (v4_group_1(B, A))  &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ~ ( (k5_group_1(A, B, C)=k5_group_1(A, B, D) & D=k2_xcmplx_0(k2_nat_1(E, k6_group_1(A, B)), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_int_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l3_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (v8_struct_0(A) &  (k6_group_1(A, B)=D &  (k6_group_1(A, C)=E & k3_int_2(D, E)=1) ) )  => k6_group_1(A, k8_group_1(A, B, C))=k3_xcmplx_0(D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_int_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (r1_xxreal_0(k5_numbers, k2_hurwitz(A, B)) => v1_uproots(B, A)) ) ) ) ) ).
fof(t27_int_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (r1_xxreal_0(k5_numbers, k2_hurwitz(A, B)) =>  (v1_finset_1(k7_polynom5(A, B)) &  (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (? [D] :  (m1_subset_1(D, k4_ordinal1) &  (D=k2_hurwitz(A, B) &  (C=k1_card_1(k7_polynom5(A, B)) & r1_xxreal_0(C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_int_7, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_int_7(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_int_3(A))) =>  (B=C =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => k9_nat_1(u1_struct_0(k3_int_7(A)), k4_group_1(k3_int_7(A)), B, D)=k9_nat_1(u1_struct_0(k9_int_3(A)), k4_group_1(k9_int_3(A)), C, D)) ) ) ) ) ) ) ) ) ).
fof(t29_int_7, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_int_7(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_int_7(A))) =>  (! [D] :  (v7_ordinal1(D) =>  ( (k6_group_1(k3_int_7(A), B)=D & k5_group_1(k3_int_7(A), C, D)=1)  =>  (r1_xxreal_0(D, k5_numbers) | m1_subset_1(C, u1_struct_0(k5_group_4(k3_int_7(A), k6_domain_1(u1_struct_0(k3_int_7(A)), B))))) ) ) ) ) ) ) ) ) ) ).
fof(t30_int_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (v8_struct_0(A) & k6_group_1(A, B)=k2_nat_1(C, D))  => k6_group_1(A, k5_group_1(A, B, C))=D) ) ) ) ) ) ) ) ) ).
fof(t31_int_7, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  ( ~ (v2_struct_0(k3_int_7(A)))  &  (v2_group_1(k3_int_7(A)) &  (v3_group_1(k3_int_7(A)) &  (v1_gr_cy_1(k3_int_7(A)) & l3_algstr_0(k3_int_7(A))) ) ) ) ) ) ).
fof(dt_k1_int_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (v1_xboole_0(k1_int_7(A)))  &  (v1_finset_1(k1_int_7(A)) & m1_subset_1(k1_int_7(A), k1_zfmisc_1(k4_ordinal1))) ) ) ) ).
fof(dt_k2_int_7, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (v1_funct_1(k2_int_7(A)) &  (v1_funct_2(k2_int_7(A), k2_zfmisc_1(k1_int_7(A), k1_int_7(A)), k1_int_7(A)) & m1_subset_1(k2_int_7(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_int_7(A), k1_int_7(A)), k1_int_7(A))))) ) ) ) ).
fof(dt_k3_int_7, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  ( ~ (v2_struct_0(k3_int_7(A)))  &  (v2_group_1(k3_int_7(A)) &  (v3_group_1(k3_int_7(A)) &  (v5_group_1(k3_int_7(A)) & l3_algstr_0(k3_int_7(A))) ) ) ) ) ) ).
fof(fc1_int_8, axiom,  (! [A] :  (v7_ordinal1(A) => v1_finset_1(k1_int_8(A))) ) ).
fof(t1_int_8, axiom,  (! [A] :  (v7_ordinal1(A) => r1_tarski(k1_int_8(A), k2_finseq_1(A))) ) ).
fof(t2_int_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( (r1_xxreal_0(1, A) & k2_int_8(A)=k1_xboole_0) ) ) ) ).
fof(t3_int_8, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k4_numbers)) =>  (! [C] :  (v1_int_1(C) =>  (r2_hidden(A, k23_member_1(B, C)) <=>  (? [D] :  (v1_int_1(D) &  (r2_hidden(D, B) & A=k3_xcmplx_0(C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t4_int_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (? [C] :  (v7_ordinal1(C) & k1_newton(k2_xcmplx_0(1, A), B)=k2_xcmplx_0(k1_nat_1(k2_xcmplx_0(1, k3_xcmplx_0(B, A)), k2_nat_1(k4_newton(2, B), k1_pepin(A))), k3_xcmplx_0(C, k3_polyeq_3(A)))) ) ) ) ) ) ).
fof(t5_int_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(B, 1))  &  (r1_int_2(A, B) & A=k5_numbers) ) ) ) ) ) ) ).
fof(t6_int_8, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (k5_int_1(k3_xcmplx_0(A, B), C)=1 & k5_int_1(A, C)=1)  => k5_int_1(B, C)=1) ) ) ) ) ) ) ).
fof(t7_int_8, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v1_abian(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(3, B) => k5_int_1(k1_newton(A, k11_newton(2, k7_nat_d(B, 2))), k1_newton(2, B))=1) ) ) ) ) ).
fof(t8_int_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (r1_xxreal_0(1, A) => k1_euler_1(k1_newton(B, A))=k6_xcmplx_0(k1_newton(B, A), k1_newton(B, k7_nat_d(A, 1)))) ) ) ) ) ).
fof(t9_int_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_int_2(A, B) =>  (r1_xxreal_0(B, 1) | r1_nat_d(k3_pepin(A, B), k1_euler_1(B))) ) ) ) ) ) ).
fof(t10_int_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_int_2(C, D) =>  (r1_xxreal_0(D, 1) |  (r2_int_1(k1_newton(C, A), k1_newton(C, B), D) <=> r2_int_1(A, B, k3_pepin(C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_int_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_int_2(B, C) =>  (r1_xxreal_0(C, 1) |  (r2_int_1(k1_newton(B, A), 1, C) <=> r1_nat_d(k3_pepin(B, C), A)) ) ) ) ) ) ) ) ) ).
fof(t12_int_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  ( (r1_int_2(A, B) &  (k3_finseq_1(C)=k3_pepin(A, B) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r2_tarski(D, k1_relset_1(k4_ordinal1, C)) => k1_funct_1(C, D)=k1_newton(A, k7_nat_d(D, 1))) ) ) ) )  =>  (r1_xxreal_0(B, 1) |  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ~ ( (r2_tarski(D, k1_relset_1(k4_ordinal1, C)) &  (r2_tarski(E, k1_relset_1(k4_ordinal1, C)) &  ( ~ (D=E)  & r2_int_1(k1_funct_1(C, D), k1_funct_1(C, E), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_int_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  ( (r1_int_2(A, B) &  (k3_finseq_1(C)=k3_pepin(A, B) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r2_tarski(D, k1_relset_1(k4_ordinal1, C)) => k1_funct_1(C, D)=k1_newton(A, k7_nat_d(D, 1))) ) ) ) )  =>  (r1_xxreal_0(B, 1) |  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r2_tarski(D, k1_relset_1(k4_ordinal1, C)) => k4_nat_d(k1_newton(k1_funct_1(C, D), k3_pepin(A, B)), B)=1) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_int_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_int_2(A, C) =>  (r1_xxreal_0(C, 1) | k3_pepin(k1_newton(A, B), C)=k3_nat_d(k3_pepin(A, C), k6_nat_d(k3_pepin(A, C), B))) ) ) ) ) ) ) ) ).
fof(t15_int_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_int_2(B, C) =>  (r1_xxreal_0(C, 1) |  (r1_int_2(k3_pepin(B, C), A) <=> k3_pepin(k1_newton(B, A), C)=k3_pepin(B, C)) ) ) ) ) ) ) ) ) ).
fof(t16_int_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_int_2(A, D) & k3_pepin(A, D)=k3_xcmplx_0(B, C))  =>  (r1_xxreal_0(D, 1) | k3_pepin(k1_newton(A, B), D)=C) ) ) ) ) ) ) ) ) ) ).
fof(t17_int_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_int_2(A, C) &  (r1_int_2(B, C) & r1_int_2(k3_pepin(A, C), k3_pepin(B, C))) )  =>  (r1_xxreal_0(C, 1) | k3_pepin(k3_xcmplx_0(A, B), C)=k2_nat_1(k3_pepin(A, C), k3_pepin(B, C))) ) ) ) ) ) ) ) ).
fof(t18_int_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_int_2(A, C) &  (r1_int_2(B, C) & k3_pepin(k3_xcmplx_0(A, B), C)=k2_nat_1(k3_pepin(A, C), k3_pepin(B, C))) )  =>  (r1_xxreal_0(C, 1) | r1_int_2(k3_pepin(A, C), k3_pepin(B, C))) ) ) ) ) ) ) ) ).
fof(t19_int_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_int_2(A, C) & k4_nat_d(k3_xcmplx_0(A, B), C)=1)  =>  (r1_xxreal_0(C, 1) | k3_pepin(A, C)=k3_pepin(B, C)) ) ) ) ) ) ) ) ).
fof(t20_int_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_int_2(A, C) & r1_nat_d(B, C))  =>  (r1_xxreal_0(C, 1) |  (r1_xxreal_0(B, 1) | r1_nat_d(k3_pepin(A, B), k3_pepin(A, C))) ) ) ) ) ) ) ) ) ).
fof(t21_int_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_int_2(B, C) & r1_int_2(A, k3_xcmplx_0(B, C)))  =>  (r1_xxreal_0(C, 1) |  (r1_xxreal_0(B, 1) | k3_pepin(A, k3_xcmplx_0(B, C))=k5_nat_d(k3_pepin(A, B), k3_pepin(A, C))) ) ) ) ) ) ) ) ) ).
fof(d2_int_8, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (r1_int_8(A, B) <=>  (? [C] :  (m2_finseq_1(C, k4_numbers) &  (k3_finseq_1(C)=k3_finseq_1(k14_finseq_1(k2_int_8(B))) &  ( (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r2_tarski(D, k1_relset_1(k4_ordinal1, C)) => r2_tarski(k1_funct_1(C, D), k6_eqrel_1(k4_numbers, k4_numbers, k1_int_4(B), k1_funct_1(k14_finseq_1(k2_int_8(B)), D)))) ) )  & A=k2_relset_1(k4_numbers, C)) ) ) ) ) ) ) ) ).
fof(t22_int_8, axiom,  (! [A] :  (v7_ordinal1(A) => r1_int_8(k2_int_8(A), A)) ) ).
fof(t23_int_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ ( (r2_tarski(B, k1_relset_1(k4_ordinal1, k14_finseq_1(k2_int_8(A)))) &  (r2_tarski(C, k1_relset_1(k4_ordinal1, k14_finseq_1(k2_int_8(A)))) &  ( ~ (B=C)  & r2_int_1(k1_funct_1(k14_finseq_1(k2_int_8(A)), B), k1_funct_1(k14_finseq_1(k2_int_8(A)), C), A)) ) ) ) ) ) ) ) ) ) ).
fof(t24_int_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_finset_1(B) =>  (r1_int_8(B, A) =>  (k4_card_1(B)=k1_euler_1(A) &  ( (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  ~ ( (r2_hidden(C, B) &  (r2_hidden(D, B) &  ( ~ (C=D)  & r2_int_1(C, D, A)) ) ) ) ) ) ) )  &  (! [C] :  (v1_int_1(C) =>  (r2_hidden(C, B) => r1_int_2(C, A)) ) ) ) ) ) ) ) ) ) ).
fof(t25_int_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_int_8(k1_xboole_0, A) <=> A=k5_numbers) ) ) ).
fof(t26_int_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k4_numbers)))  =>  ( (k4_card_1(B)=k1_euler_1(A) &  ( (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  ~ ( (r2_hidden(C, B) &  (r2_hidden(D, B) &  ( ~ (C=D)  & r2_int_1(C, D, A)) ) ) ) ) ) ) )  &  (! [C] :  (v1_int_1(C) =>  (r2_hidden(C, B) => r1_int_2(C, A)) ) ) ) )  =>  (r1_xxreal_0(A, 1) | r1_int_8(B, A)) ) ) ) ) ) ).
fof(t27_int_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k4_numbers)))  =>  (! [C] :  (v1_int_1(C) =>  ( (r1_int_2(C, A) & r1_int_8(B, A))  =>  (r1_xxreal_0(A, 1) | r1_int_8(k23_member_1(B, C), A)) ) ) ) ) ) ) ) ).
fof(d3_int_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_int_8(A, B) <=> k3_pepin(A, B)=k1_euler_1(B)) ) ) ) ) ).
fof(t28_int_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_int_2(A, B) =>  (r1_xxreal_0(B, 1) |  (r2_int_8(A, B) <=>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  ( (k3_finseq_1(C)=k1_euler_1(B) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k1_relset_1(k4_ordinal1, C)) => k1_funct_1(C, D)=k1_newton(A, D)) ) ) )  => r1_int_8(k2_relset_1(k4_numbers, C), B)) ) ) ) ) ) ) ) ) ) ).
fof(t29_int_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  ( (r1_int_2(A, B) & r2_int_8(A, B))  =>  (r1_xxreal_0(B, 2) |  (! [C] :  (v7_ordinal1(C) =>  ~ (r1_int_5(k1_newton(A, k1_nat_1(k3_xcmplx_0(2, C), 1)), B)) ) ) ) ) ) ) ) ) ).
fof(t30_int_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(3, A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_int_2(B, k1_newton(2, A)) & r2_int_8(B, k1_newton(2, A))) ) ) ) ) ) ) ).
fof(t31_int_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v7_ordinal1(C) & v1_int_2(C))  =>  ~ ( ( ~ (r1_xxreal_0(C, 2))  &  (r1_xxreal_0(2, B) &  (r1_int_2(A, C) &  (r2_int_8(A, C) &  ( ~ (k4_nat_d(k1_newton(A, k7_nat_d(C, 1)), k1_pepin(C))=1)  & k4_nat_d(k1_newton(A, k1_euler_1(k1_newton(C, k7_nat_d(B, 1)))), k1_newton(C, B))=1) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_int_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  ( (r1_xxreal_0(2, k3_finseq_1(B)) &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r2_tarski(C, k1_relset_1(k4_ordinal1, B)) => r1_int_2(k1_funct_1(B, C), A)) ) ) )  =>  (r1_xxreal_0(A, 1) |  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  ( (k3_finseq_1(C)=k3_finseq_1(B) &  ( (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r2_tarski(D, k1_relset_1(k4_ordinal1, C)) => k1_funct_1(C, D)=k3_pepin(k1_funct_1(B, D), A)) ) )  &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( (r2_tarski(D, k1_relset_1(k4_ordinal1, C)) & r2_tarski(E, k1_relset_1(k4_ordinal1, C)))  =>  (D=E | r1_int_2(k1_funct_1(C, D), k1_funct_1(C, E))) ) ) ) ) ) ) )  => k3_pepin(k2_wsierp_1(B), A)=k2_wsierp_1(C)) ) ) ) ) ) ) ) ) ).
fof(dt_k2_int_8, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k2_int_8(A), k1_zfmisc_1(k4_ordinal1))) ) ).
fof(redefinition_k2_int_8, axiom,  (! [A] :  (v7_ordinal1(A) => k2_int_8(A)=k1_int_8(A)) ) ).
fof(d1_int_8, axiom,  (! [A] :  (v7_ordinal1(A) => k1_int_8(A)=a_1_0_int_8(A)) ) ).
fof(fraenkel_a_1_0_int_8, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_0_int_8(B)) <=>  (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (A=C &  (r1_int_2(B, C) &  (r1_xxreal_0(1, C) & r1_xxreal_0(C, B)) ) ) ) ) ) ) ) ).
fof(t1_integr10, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, A))  &  ( ~ (r1_xxreal_0(B, E))  &  ~ (r1_xxreal_0(C, k3_xcmplx_0(k6_xcmplx_0(B, E), D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_integr10, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, A))  &  ( ~ (r1_xxreal_0(B, E))  &  ~ (r1_xxreal_0(C, k3_xcmplx_0(k6_xcmplx_0(E, A), D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_integr10, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k6_xcmplx_0(k1_funct_1(k22_sin_cos, B), k1_funct_1(k22_sin_cos, A))=k4_integra5(A, B, k22_sin_cos)) ) ) ) ).
fof(d1_integr10, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (r1_integr10(A, B, C) <=>  ( (! [D] :  (v1_xreal_0(D) =>  (r1_xxreal_0(B, D) =>  (r1_xxreal_0(C, D) |  (r1_integra5(k3_integra5(B, D), A) & v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, A, k3_integra5(B, D)))) ) ) ) )  &  (? [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  &  (k1_relset_1(k1_numbers, D)=k3_rcomp_1(B, C) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k1_relset_1(k1_numbers, D)) => k1_funct_1(D, E)=k4_integra5(B, E, A)) ) )  & r1_limfunc2(D, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_integr10, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (r2_integr10(A, B, C) <=>  ( (! [D] :  (v1_xreal_0(D) =>  (r1_xxreal_0(D, C) =>  (r1_xxreal_0(D, B) |  (r1_integra5(k3_integra5(D, C), A) & v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, A, k3_integra5(D, C)))) ) ) ) )  &  (? [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  &  (k1_relset_1(k1_numbers, D)=k4_rcomp_1(B, C) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k1_relset_1(k1_numbers, D)) => k1_funct_1(D, E)=k4_integra5(E, C, A)) ) )  & r4_limfunc2(D, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_integr10, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (r1_integr10(A, B, C) =>  (! [D] :  (v1_xreal_0(D) =>  (D=k1_integr10(A, B, C) <=>  (? [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  &  (k1_relset_1(k1_numbers, E)=k3_rcomp_1(B, C) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, k1_relset_1(k1_numbers, E)) => k1_funct_1(E, F)=k4_integra5(B, F, A)) ) )  &  (r1_limfunc2(E, C) & D=k1_limfunc2(E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_integr10, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (r2_integr10(A, B, C) =>  (! [D] :  (v1_xreal_0(D) =>  (D=k2_integr10(A, B, C) <=>  (? [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  &  (k1_relset_1(k1_numbers, E)=k4_rcomp_1(B, C) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, k1_relset_1(k1_numbers, E)) => k1_funct_1(E, F)=k4_integra5(F, C, A)) ) )  &  (r4_limfunc2(E, B) & D=k2_limfunc2(E, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_integr10, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (r3_integr10(A, B) <=>  ( (! [C] :  (v1_xreal_0(C) =>  (r1_xxreal_0(B, C) =>  (r1_integra5(k3_integra5(B, C), A) & v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, A, k3_integra5(B, C)))) ) ) )  &  (? [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  &  (k1_relset_1(k1_numbers, C)=k2_limfunc1(B) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, k1_relset_1(k1_numbers, C)) => k1_funct_1(C, D)=k4_integra5(B, D, A)) ) )  & v3_limfunc1(C)) ) ) ) ) ) ) ) ) ) ).
fof(d6_integr10, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (r4_integr10(A, B) <=>  ( (! [C] :  (v1_xreal_0(C) =>  (r1_xxreal_0(C, B) =>  (r1_integra5(k3_integra5(C, B), A) & v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, A, k3_integra5(C, B)))) ) ) )  &  (? [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  &  (k1_relset_1(k1_numbers, C)=k1_limfunc1(B) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, k1_relset_1(k1_numbers, C)) => k1_funct_1(C, D)=k4_integra5(D, B, A)) ) )  & v6_limfunc1(C)) ) ) ) ) ) ) ) ) ) ).
fof(d7_integr10, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (r3_integr10(A, B) =>  (! [C] :  (v1_xreal_0(C) =>  (C=k3_integr10(A, B) <=>  (? [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  &  (k1_relset_1(k1_numbers, D)=k2_limfunc1(B) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k1_relset_1(k1_numbers, D)) => k1_funct_1(D, E)=k4_integra5(B, E, A)) ) )  &  (v3_limfunc1(D) & C=k4_limfunc1(D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_integr10, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (r4_integr10(A, B) =>  (! [C] :  (v1_xreal_0(C) =>  (C=k4_integr10(A, B) <=>  (? [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  &  (k1_relset_1(k1_numbers, D)=k1_limfunc1(B) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k1_relset_1(k1_numbers, D)) => k1_funct_1(D, E)=k4_integra5(E, B, A)) ) )  &  (v6_limfunc1(D) & C=k5_limfunc1(D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_integr10, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v1_integr10(A) <=>  (r3_integr10(A, k5_numbers) & r4_integr10(A, k5_numbers)) ) ) ) ).
fof(d10_integr10, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  => k5_integr10(A)=k2_xcmplx_0(k3_integr10(A, k5_numbers), k4_integr10(A, k5_numbers))) ) ).
fof(t4_integr10, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_tarski(k3_integra5(C, D), k1_relset_1(k1_numbers, A)) &  (r1_tarski(k3_integra5(C, D), k1_relset_1(k1_numbers, B)) &  (r1_integr10(A, C, D) & r1_integr10(B, C, D)) ) )  =>  (r1_xxreal_0(D, C) |  (r1_integr10(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), C, D) & k1_integr10(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), C, D)=k2_xcmplx_0(k1_integr10(A, C, D), k1_integr10(B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_integr10, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, A)) & r1_integr10(A, B, C))  =>  (r1_xxreal_0(C, B) |  (! [D] :  (v1_xreal_0(D) =>  (r1_integr10(k26_valued_1(k1_numbers, k1_numbers, A, D), B, C) & k1_integr10(k26_valued_1(k1_numbers, k1_numbers, A, D), B, C)=k3_xcmplx_0(D, k1_integr10(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_integr10, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_tarski(k3_integra5(C, D), k1_relset_1(k1_numbers, A)) &  (r1_tarski(k3_integra5(C, D), k1_relset_1(k1_numbers, B)) &  (r2_integr10(A, C, D) & r2_integr10(B, C, D)) ) )  =>  (r1_xxreal_0(D, C) |  (r2_integr10(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), C, D) & k2_integr10(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), C, D)=k2_xcmplx_0(k2_integr10(A, C, D), k2_integr10(B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_integr10, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, A)) & r2_integr10(A, B, C))  =>  (r1_xxreal_0(C, B) |  (! [D] :  (v1_xreal_0(D) =>  (r2_integr10(k26_valued_1(k1_numbers, k1_numbers, A, D), B, C) & k2_integr10(k26_valued_1(k1_numbers, k1_numbers, A, D), B, C)=k3_xcmplx_0(D, k2_integr10(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_integr10, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_tarski(k2_limfunc1(C), k1_relset_1(k1_numbers, A)) &  (r1_tarski(k2_limfunc1(C), k1_relset_1(k1_numbers, B)) &  (r3_integr10(A, C) & r3_integr10(B, C)) ) )  =>  (r3_integr10(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), C) & k3_integr10(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), C)=k2_xcmplx_0(k3_integr10(A, C), k3_integr10(B, C))) ) ) ) ) ) ) ) ).
fof(t9_integr10, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_tarski(k2_limfunc1(B), k1_relset_1(k1_numbers, A)) & r3_integr10(A, B))  =>  (! [C] :  (v1_xreal_0(C) =>  (r3_integr10(k26_valued_1(k1_numbers, k1_numbers, A, C), B) & k3_integr10(k26_valued_1(k1_numbers, k1_numbers, A, C), B)=k3_xcmplx_0(C, k3_integr10(A, B))) ) ) ) ) ) ) ) ).
fof(t10_integr10, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_tarski(k1_limfunc1(C), k1_relset_1(k1_numbers, A)) &  (r1_tarski(k1_limfunc1(C), k1_relset_1(k1_numbers, B)) &  (r4_integr10(A, C) & r4_integr10(B, C)) ) )  =>  (r4_integr10(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), C) & k4_integr10(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), C)=k2_xcmplx_0(k4_integr10(A, C), k4_integr10(B, C))) ) ) ) ) ) ) ) ).
fof(t11_integr10, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_tarski(k1_limfunc1(B), k1_relset_1(k1_numbers, A)) & r4_integr10(A, B))  =>  (! [C] :  (v1_xreal_0(C) =>  (r4_integr10(k26_valued_1(k1_numbers, k1_numbers, A, C), B) & k4_integr10(k26_valued_1(k1_numbers, k1_numbers, A, C), B)=k3_xcmplx_0(C, k4_integr10(A, B))) ) ) ) ) ) ) ) ).
fof(t12_integr10, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, A)) &  (r1_integra5(k3_integra5(B, C), A) & v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, A, k3_integra5(B, C)))) )  =>  (r1_xxreal_0(C, B) | k1_integr10(A, B, C)=k4_integra5(B, C, A)) ) ) ) ) ) ) ) ).
fof(t13_integr10, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, A)) &  (r1_integra5(k3_integra5(B, C), A) & v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, A, k3_integra5(B, C)))) )  =>  (r1_xxreal_0(C, B) | k2_integr10(A, B, C)=k4_integra5(B, C, A)) ) ) ) ) ) ) ) ).
fof(d11_integr10, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_numbers, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (B=k6_integr10(A) <=>  (! [C] :  (v1_xreal_0(C) => k1_funct_1(B, C)=k1_funct_1(k22_sin_cos, k4_xcmplx_0(k3_xcmplx_0(A, C)))) ) ) ) ) ) ) ).
fof(d12_integr10, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (B=k7_integr10(A) <=>  (k1_relset_1(k1_numbers, B)=k3_limfunc1(k5_numbers) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, k1_relset_1(k1_numbers, B)) => k1_funct_1(B, C)=k3_integr10(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, k6_integr10(C)), k5_numbers)) ) ) ) ) ) ) ) ) ).
fof(t14_integr10, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (k1_relset_1(k1_numbers, A)=k2_limfunc1(k5_numbers) &  (k1_relset_1(k1_numbers, B)=k2_limfunc1(k5_numbers) &  ( (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, k3_limfunc1(k5_numbers)) => r3_integr10(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, k6_integr10(C)), k5_numbers)) ) )  &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, k3_limfunc1(k5_numbers)) => r3_integr10(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k6_integr10(C)), k5_numbers)) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, k3_limfunc1(k5_numbers)) => r3_integr10(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), k6_integr10(C)), k5_numbers)) ) )  & r2_relset_1(k1_numbers, k1_numbers, k7_integr10(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k7_integr10(A), k7_integr10(B)))) ) ) ) ) ) ).
fof(t15_integr10, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  ( (k1_relset_1(k1_numbers, A)=k2_limfunc1(k5_numbers) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, k3_limfunc1(k5_numbers)) => r3_integr10(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, k6_integr10(C)), k5_numbers)) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, k3_limfunc1(k5_numbers)) => r3_integr10(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, A, B), k6_integr10(C)), k5_numbers)) ) )  & r2_relset_1(k1_numbers, k1_numbers, k7_integr10(k26_valued_1(k1_numbers, k1_numbers, A, B)), k26_valued_1(k1_numbers, k1_numbers, k7_integr10(A), B))) ) ) ) ) ) ).
fof(dt_k1_integr10, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  &  (v1_xreal_0(B) & v1_xreal_0(C)) )  => v1_xreal_0(k1_integr10(A, B, C))) ) ).
fof(dt_k2_integr10, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  &  (v1_xreal_0(B) & v1_xreal_0(C)) )  => v1_xreal_0(k2_integr10(A, B, C))) ) ).
fof(dt_k3_integr10, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  & v1_xreal_0(B))  => v1_xreal_0(k3_integr10(A, B))) ) ).
fof(dt_k4_integr10, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  & v1_xreal_0(B))  => v1_xreal_0(k4_integr10(A, B))) ) ).
fof(dt_k5_integr10, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  => v1_xreal_0(k5_integr10(A))) ) ).
fof(dt_k6_integr10, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_funct_1(k6_integr10(A)) &  (v1_funct_2(k6_integr10(A), k1_numbers, k1_numbers) & m1_subset_1(k6_integr10(A), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ) ) ).
fof(dt_k7_integr10, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v1_funct_1(k7_integr10(A)) & m1_subset_1(k7_integr10(A), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ) ).
fof(t1_integr11, axiom,  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k7_xcmplx_0(1, 2), k5_numbers), k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(2, k5_numbers), k16_sin_cos), k7_xcmplx_0(1, 4))), k1_numbers) &  (! [A] :  (v1_xreal_0(A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k7_xcmplx_0(1, 2), k5_numbers), k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(2, k5_numbers), k16_sin_cos), k7_xcmplx_0(1, 4))), k1_numbers), A)=k1_square_1(k1_funct_1(k16_sin_cos, A))) ) ) ).
fof(t2_integr11, axiom,  (r2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k7_xcmplx_0(1, 2), k5_numbers), k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(2, k5_numbers), k16_sin_cos), k7_xcmplx_0(1, 4))), k1_numbers) &  (! [A] :  (v1_xreal_0(A) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k7_xcmplx_0(1, 2), k5_numbers), k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(2, k5_numbers), k16_sin_cos), k7_xcmplx_0(1, 4))), k1_numbers), A)=k1_square_1(k1_funct_1(k18_sin_cos, A))) ) ) ).
fof(t3_integr11, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_taylor_1(k2_xcmplx_0(A, 1))), k7_xcmplx_0(1, k2_xcmplx_0(A, 1))), k1_numbers) &  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_taylor_1(k2_xcmplx_0(A, 1))), k7_xcmplx_0(1, k2_xcmplx_0(A, 1))), k1_numbers), B)=k3_xcmplx_0(k3_prepower(k1_funct_1(k16_sin_cos, B), A), k1_funct_1(k18_sin_cos, B))) ) ) ) ) ).
fof(t4_integr11, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k1_taylor_1(k2_xcmplx_0(A, 1))), k4_xcmplx_0(k7_xcmplx_0(1, k2_xcmplx_0(A, 1)))), k1_numbers) &  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k1_taylor_1(k2_xcmplx_0(A, 1))), k4_xcmplx_0(k7_xcmplx_0(1, k2_xcmplx_0(A, 1)))), k1_numbers), B)=k3_xcmplx_0(k3_prepower(k1_funct_1(k18_sin_cos, B), A), k1_funct_1(k16_sin_cos, B))) ) ) ) ) ).
fof(t5_integr11, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ~ ( ( ~ (k2_xcmplx_0(B, A)=k5_numbers)  &  ( ~ (k6_xcmplx_0(B, A)=k5_numbers)  &  ~ ( (r2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k2_xcmplx_0(B, A), k5_numbers), k16_sin_cos), k7_xcmplx_0(1, k3_xcmplx_0(2, k2_xcmplx_0(B, A)))), k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k6_xcmplx_0(B, A), k5_numbers), k16_sin_cos), k7_xcmplx_0(1, k3_xcmplx_0(2, k6_xcmplx_0(B, A))))), k1_numbers) &  (! [C] :  (v1_xreal_0(C) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k2_xcmplx_0(B, A), k5_numbers), k16_sin_cos), k7_xcmplx_0(1, k3_xcmplx_0(2, k2_xcmplx_0(B, A)))), k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k6_xcmplx_0(B, A), k5_numbers), k16_sin_cos), k7_xcmplx_0(1, k3_xcmplx_0(2, k6_xcmplx_0(B, A))))), k1_numbers), C)=k3_xcmplx_0(k1_funct_1(k18_sin_cos, k3_xcmplx_0(B, C)), k1_funct_1(k18_sin_cos, k3_xcmplx_0(A, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_integr11, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ~ ( ( ~ (k2_xcmplx_0(B, A)=k5_numbers)  &  ( ~ (k6_xcmplx_0(B, A)=k5_numbers)  &  ~ ( (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k6_xcmplx_0(B, A), k5_numbers), k16_sin_cos), k7_xcmplx_0(1, k3_xcmplx_0(2, k6_xcmplx_0(B, A)))), k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k2_xcmplx_0(B, A), k5_numbers), k16_sin_cos), k7_xcmplx_0(1, k3_xcmplx_0(2, k2_xcmplx_0(B, A))))), k1_numbers) &  (! [C] :  (v1_xreal_0(C) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k6_xcmplx_0(B, A), k5_numbers), k16_sin_cos), k7_xcmplx_0(1, k3_xcmplx_0(2, k6_xcmplx_0(B, A)))), k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k2_xcmplx_0(B, A), k5_numbers), k16_sin_cos), k7_xcmplx_0(1, k3_xcmplx_0(2, k2_xcmplx_0(B, A))))), k1_numbers), C)=k3_xcmplx_0(k1_funct_1(k16_sin_cos, k3_xcmplx_0(B, C)), k1_funct_1(k16_sin_cos, k3_xcmplx_0(A, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_integr11, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ~ ( ( ~ (k2_xcmplx_0(B, A)=k5_numbers)  &  ( ~ (k6_xcmplx_0(B, A)=k5_numbers)  &  ~ ( (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k2_xcmplx_0(B, A), k5_numbers), k18_sin_cos), k7_xcmplx_0(1, k3_xcmplx_0(2, k2_xcmplx_0(B, A))))), k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k6_xcmplx_0(B, A), k5_numbers), k18_sin_cos), k7_xcmplx_0(1, k3_xcmplx_0(2, k6_xcmplx_0(B, A))))), k1_numbers) &  (! [C] :  (v1_xreal_0(C) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k2_xcmplx_0(B, A), k5_numbers), k18_sin_cos), k7_xcmplx_0(1, k3_xcmplx_0(2, k2_xcmplx_0(B, A))))), k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k6_xcmplx_0(B, A), k5_numbers), k18_sin_cos), k7_xcmplx_0(1, k3_xcmplx_0(2, k6_xcmplx_0(B, A))))), k1_numbers), C)=k3_xcmplx_0(k1_funct_1(k16_sin_cos, k3_xcmplx_0(B, C)), k1_funct_1(k18_sin_cos, k3_xcmplx_0(A, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_integr11, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ( ~ (A=k5_numbers)  =>  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, k5_numbers), k16_sin_cos), k7_xcmplx_0(1, k1_square_1(A))), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k7_xcmplx_0(1, A), k5_numbers), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, k5_numbers), k18_sin_cos))), k1_numbers) &  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, k5_numbers), k16_sin_cos), k7_xcmplx_0(1, k1_square_1(A))), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k7_xcmplx_0(1, A), k5_numbers), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, k5_numbers), k18_sin_cos))), k1_numbers), B)=k3_xcmplx_0(B, k1_funct_1(k16_sin_cos, k3_xcmplx_0(A, B)))) ) ) ) ) ) ).
fof(t9_integr11, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ( ~ (A=k5_numbers)  =>  (r2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, k5_numbers), k18_sin_cos), k7_xcmplx_0(1, k1_square_1(A))), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k7_xcmplx_0(1, A), k5_numbers), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, k5_numbers), k16_sin_cos))), k1_numbers) &  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, k5_numbers), k18_sin_cos), k7_xcmplx_0(1, k1_square_1(A))), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k7_xcmplx_0(1, A), k5_numbers), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, k5_numbers), k16_sin_cos))), k1_numbers), B)=k3_xcmplx_0(B, k1_funct_1(k18_sin_cos, k3_xcmplx_0(A, B)))) ) ) ) ) ) ).
fof(t10_integr11, axiom,  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(1, k5_numbers), k3_sin_cos2), k1_sin_cos2), k1_numbers) &  (! [A] :  (v1_xreal_0(A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(1, k5_numbers), k3_sin_cos2), k1_sin_cos2), k1_numbers), A)=k3_xcmplx_0(A, k1_funct_1(k1_sin_cos2, A))) ) ) ).
fof(t11_integr11, axiom,  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(1, k5_numbers), k1_sin_cos2), k3_sin_cos2), k1_numbers) &  (! [A] :  (v1_xreal_0(A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(1, k5_numbers), k1_sin_cos2), k3_sin_cos2), k1_numbers), A)=k3_xcmplx_0(A, k1_funct_1(k3_sin_cos2, A))) ) ) ).
fof(t12_integr11, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( ~ (k3_xcmplx_0(A, k2_xcmplx_0(C, 1))=k5_numbers)  =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, B), k1_taylor_1(k2_xcmplx_0(C, 1))), k7_xcmplx_0(1, k3_xcmplx_0(A, k2_xcmplx_0(C, 1)))), k1_numbers) &  (! [D] :  (v1_xreal_0(D) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, B), k1_taylor_1(k2_xcmplx_0(C, 1))), k7_xcmplx_0(1, k3_xcmplx_0(A, k2_xcmplx_0(C, 1)))), k1_numbers), D)=k3_prepower(k2_xcmplx_0(k3_xcmplx_0(A, D), B), C)) ) ) ) ) ) ) ) ) ) ).
fof(t13_integr11, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  => k2_integra5(A, k41_valued_1(k1_numbers, k1_numbers, k16_sin_cos))=k6_xcmplx_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k7_xcmplx_0(1, 2), k5_numbers), k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(2, k5_numbers), k16_sin_cos), k7_xcmplx_0(1, 4))), k2_seq_4(A)), k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k7_xcmplx_0(1, 2), k5_numbers), k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(2, k5_numbers), k16_sin_cos), k7_xcmplx_0(1, 4))), k3_seq_4(A)))) ) ).
fof(t14_integr11, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (A=k1_rcomp_1(k5_numbers, k28_sin_cos) => k2_integra5(A, k41_valued_1(k1_numbers, k1_numbers, k16_sin_cos))=k7_xcmplx_0(k28_sin_cos, 2)) ) ) ).
fof(t15_integr11, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (A=k1_rcomp_1(k5_numbers, k3_xcmplx_0(2, k28_sin_cos)) => k2_integra5(A, k41_valued_1(k1_numbers, k1_numbers, k16_sin_cos))=k28_sin_cos) ) ) ).
fof(t16_integr11, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  => k2_integra5(A, k41_valued_1(k1_numbers, k1_numbers, k18_sin_cos))=k6_xcmplx_0(k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k7_xcmplx_0(1, 2), k5_numbers), k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(2, k5_numbers), k16_sin_cos), k7_xcmplx_0(1, 4))), k2_seq_4(A)), k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k7_xcmplx_0(1, 2), k5_numbers), k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(2, k5_numbers), k16_sin_cos), k7_xcmplx_0(1, 4))), k3_seq_4(A)))) ) ).
fof(t17_integr11, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (A=k1_rcomp_1(k5_numbers, k28_sin_cos) => k2_integra5(A, k41_valued_1(k1_numbers, k1_numbers, k18_sin_cos))=k7_xcmplx_0(k28_sin_cos, 2)) ) ) ).
fof(t18_integr11, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (A=k1_rcomp_1(k5_numbers, k3_xcmplx_0(2, k28_sin_cos)) => k2_integra5(A, k41_valued_1(k1_numbers, k1_numbers, k18_sin_cos))=k28_sin_cos) ) ) ).
fof(t19_integr11, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  => k2_integra5(B, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_taylor_1(A)), k18_sin_cos))=k6_xcmplx_0(k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_taylor_1(k2_xcmplx_0(A, 1))), k7_xcmplx_0(1, k2_xcmplx_0(A, 1))), k2_seq_4(B)), k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_taylor_1(k2_xcmplx_0(A, 1))), k7_xcmplx_0(1, k2_xcmplx_0(A, 1))), k3_seq_4(B)))) ) ) ) ).
fof(t20_integr11, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (B=k1_rcomp_1(k5_numbers, k28_sin_cos) => k2_integra5(B, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_taylor_1(A)), k18_sin_cos))=k5_numbers) ) ) ) ) ).
fof(t21_integr11, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (B=k1_rcomp_1(k5_numbers, k3_xcmplx_0(2, k28_sin_cos)) => k2_integra5(B, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_taylor_1(A)), k18_sin_cos))=k5_numbers) ) ) ) ) ).
fof(t22_integr11, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  => k2_integra5(B, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k1_taylor_1(A)), k16_sin_cos))=k6_xcmplx_0(k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k1_taylor_1(k2_xcmplx_0(A, 1))), k4_xcmplx_0(k7_xcmplx_0(1, k2_xcmplx_0(A, 1)))), k2_seq_4(B)), k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k1_taylor_1(k2_xcmplx_0(A, 1))), k4_xcmplx_0(k7_xcmplx_0(1, k2_xcmplx_0(A, 1)))), k3_seq_4(B)))) ) ) ) ).
fof(t23_integr11, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (B=k1_rcomp_1(k5_numbers, k3_xcmplx_0(2, k28_sin_cos)) => k2_integra5(B, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k1_taylor_1(A)), k16_sin_cos))=k5_numbers) ) ) ) ) ).
fof(t24_integr11, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (B=k1_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 2)), k7_xcmplx_0(k28_sin_cos, 2)) => k2_integra5(B, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k1_taylor_1(A)), k16_sin_cos))=k5_numbers) ) ) ) ) ).
fof(t25_integr11, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  ~ ( ( ~ (k2_xcmplx_0(B, A)=k5_numbers)  &  ( ~ (k6_xcmplx_0(B, A)=k5_numbers)  &  ~ (k2_integra5(C, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(B, k5_numbers), k18_sin_cos), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, k5_numbers), k18_sin_cos)))=k6_xcmplx_0(k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k2_xcmplx_0(B, A), k5_numbers), k16_sin_cos), k7_xcmplx_0(1, k3_xcmplx_0(2, k2_xcmplx_0(B, A)))), k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k6_xcmplx_0(B, A), k5_numbers), k16_sin_cos), k7_xcmplx_0(1, k3_xcmplx_0(2, k6_xcmplx_0(B, A))))), k2_seq_4(C)), k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k2_xcmplx_0(B, A), k5_numbers), k16_sin_cos), k7_xcmplx_0(1, k3_xcmplx_0(2, k2_xcmplx_0(B, A)))), k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k6_xcmplx_0(B, A), k5_numbers), k16_sin_cos), k7_xcmplx_0(1, k3_xcmplx_0(2, k6_xcmplx_0(B, A))))), k3_seq_4(C)))) ) ) ) ) ) ) ) ) ) ).
fof(t26_integr11, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  ~ ( ( ~ (k2_xcmplx_0(B, A)=k5_numbers)  &  ( ~ (k6_xcmplx_0(B, A)=k5_numbers)  &  ~ (k2_integra5(C, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(B, k5_numbers), k16_sin_cos), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, k5_numbers), k16_sin_cos)))=k6_xcmplx_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k6_xcmplx_0(B, A), k5_numbers), k16_sin_cos), k7_xcmplx_0(1, k3_xcmplx_0(2, k6_xcmplx_0(B, A)))), k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k2_xcmplx_0(B, A), k5_numbers), k16_sin_cos), k7_xcmplx_0(1, k3_xcmplx_0(2, k2_xcmplx_0(B, A))))), k2_seq_4(C)), k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k6_xcmplx_0(B, A), k5_numbers), k16_sin_cos), k7_xcmplx_0(1, k3_xcmplx_0(2, k6_xcmplx_0(B, A)))), k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k2_xcmplx_0(B, A), k5_numbers), k16_sin_cos), k7_xcmplx_0(1, k3_xcmplx_0(2, k2_xcmplx_0(B, A))))), k3_seq_4(C)))) ) ) ) ) ) ) ) ) ) ).
fof(t27_integr11, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  ~ ( ( ~ (k2_xcmplx_0(B, A)=k5_numbers)  &  ( ~ (k6_xcmplx_0(B, A)=k5_numbers)  &  ~ (k2_integra5(C, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(B, k5_numbers), k16_sin_cos), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, k5_numbers), k18_sin_cos)))=k6_xcmplx_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k2_xcmplx_0(B, A), k5_numbers), k18_sin_cos), k7_xcmplx_0(1, k3_xcmplx_0(2, k2_xcmplx_0(B, A))))), k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k6_xcmplx_0(B, A), k5_numbers), k18_sin_cos), k7_xcmplx_0(1, k3_xcmplx_0(2, k6_xcmplx_0(B, A))))), k2_seq_4(C)), k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k2_xcmplx_0(B, A), k5_numbers), k18_sin_cos), k7_xcmplx_0(1, k3_xcmplx_0(2, k2_xcmplx_0(B, A))))), k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k6_xcmplx_0(B, A), k5_numbers), k18_sin_cos), k7_xcmplx_0(1, k3_xcmplx_0(2, k6_xcmplx_0(B, A))))), k3_seq_4(C)))) ) ) ) ) ) ) ) ) ) ).
fof(t28_integr11, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  ( ~ (A=k5_numbers)  => k2_integra5(B, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(1, k5_numbers), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, k5_numbers), k16_sin_cos)))=k6_xcmplx_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, k5_numbers), k16_sin_cos), k7_xcmplx_0(1, k1_square_1(A))), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k7_xcmplx_0(1, A), k5_numbers), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, k5_numbers), k18_sin_cos))), k2_seq_4(B)), k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, k5_numbers), k16_sin_cos), k7_xcmplx_0(1, k1_square_1(A))), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k7_xcmplx_0(1, A), k5_numbers), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, k5_numbers), k18_sin_cos))), k3_seq_4(B)))) ) ) ) ) ).
fof(t29_integr11, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  ( ~ (A=k5_numbers)  => k2_integra5(B, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(1, k5_numbers), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, k5_numbers), k18_sin_cos)))=k6_xcmplx_0(k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, k5_numbers), k18_sin_cos), k7_xcmplx_0(1, k1_square_1(A))), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k7_xcmplx_0(1, A), k5_numbers), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, k5_numbers), k16_sin_cos))), k2_seq_4(B)), k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, k5_numbers), k18_sin_cos), k7_xcmplx_0(1, k1_square_1(A))), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k7_xcmplx_0(1, A), k5_numbers), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, k5_numbers), k16_sin_cos))), k3_seq_4(B)))) ) ) ) ) ).
fof(t30_integr11, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  => k2_integra5(A, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(1, k5_numbers), k1_sin_cos2))=k6_xcmplx_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(1, k5_numbers), k3_sin_cos2), k1_sin_cos2), k2_seq_4(A)), k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(1, k5_numbers), k3_sin_cos2), k1_sin_cos2), k3_seq_4(A)))) ) ).
fof(t31_integr11, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  => k2_integra5(A, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(1, k5_numbers), k3_sin_cos2))=k6_xcmplx_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(1, k5_numbers), k1_sin_cos2), k3_sin_cos2), k2_seq_4(A)), k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(1, k5_numbers), k1_sin_cos2), k3_sin_cos2), k3_seq_4(A)))) ) ).
fof(t32_integr11, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v2_measure5(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers))) )  =>  ( ~ (k3_xcmplx_0(A, k2_xcmplx_0(C, 1))=k5_numbers)  => k2_integra5(D, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, B), k1_taylor_1(C)))=k6_xcmplx_0(k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, B), k1_taylor_1(k2_xcmplx_0(C, 1))), k7_xcmplx_0(1, k3_xcmplx_0(A, k2_xcmplx_0(C, 1)))), k2_seq_4(D)), k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, B), k1_taylor_1(k2_xcmplx_0(C, 1))), k7_xcmplx_0(1, k3_xcmplx_0(A, k2_xcmplx_0(C, 1)))), k3_seq_4(D)))) ) ) ) ) ) ) ) ) ).
fof(t33_integr11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_xtuple_0(k26_valued_1(k1_numbers, k1_numbers, B, k7_xcmplx_0(1, 2)))) & B=k1_taylor_1(2))  =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, B, k7_xcmplx_0(1, 2)), A) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, B, k7_xcmplx_0(1, 2)), A), C)=C) ) ) ) ) ) ) ) ) ).
fof(t34_integr11, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, B) &  (C=k1_taylor_1(2) & B=k9_xtuple_0(k26_valued_1(k1_numbers, k1_numbers, C, k7_xcmplx_0(1, 2)))) )  => k2_integra5(A, k1_partfun2(k1_numbers, B))=k6_xcmplx_0(k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, C, k7_xcmplx_0(1, 2)), k2_seq_4(A)), k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, C, k7_xcmplx_0(1, 2)), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t35_integr11, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, B) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) =>  ( ~ (D=k5_numbers)  & k1_funct_1(C, D)=k4_xcmplx_0(k7_xcmplx_0(1, k1_square_1(D)))) ) ) )  &  (k9_xtuple_0(C)=B & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, A))) ) )  =>  (r2_tarski(k5_numbers, B) | k2_integra5(A, C)=k6_xcmplx_0(k1_funct_1(k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B)), k2_seq_4(A)), k1_funct_1(k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B)), k3_seq_4(A)))) ) ) ) ) ) ) ) ).
fof(t36_integr11, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, B) &  (D=k1_taylor_1(2) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, B) =>  (k1_funct_1(E, F)=1 &  ( ~ (F=k5_numbers)  & k1_funct_1(C, F)=k7_xcmplx_0(k3_xcmplx_0(2, F), k1_square_1(k2_xcmplx_0(1, k1_square_1(F))))) ) ) ) )  &  (k9_xtuple_0(k3_rfunct_1(k1_numbers, k1_numbers, D, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, E, D)))=B &  (B=k9_xtuple_0(C) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, A))) ) ) ) )  => k2_integra5(A, C)=k6_xcmplx_0(k1_funct_1(k3_rfunct_1(k1_numbers, k1_numbers, D, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, E, D)), k2_seq_4(A)), k1_funct_1(k3_rfunct_1(k1_numbers, k1_numbers, D, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, E, D)), k3_seq_4(A)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_integr11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k9_xtuple_0(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_fdiff_9))) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) =>  ( ~ (k2_xcmplx_0(1, k1_funct_1(k16_sin_cos, B))=k5_numbers)  &  ~ (k6_xcmplx_0(1, k1_funct_1(k16_sin_cos, B))=k5_numbers) ) ) ) ) )  =>  (r2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_fdiff_9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_fdiff_9), A), B)=k7_xcmplx_0(1, k6_xcmplx_0(1, k1_funct_1(k16_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t38_integr11, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, B) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) =>  ( ~ (k2_xcmplx_0(1, k1_funct_1(k16_sin_cos, D))=k5_numbers)  &  ( ~ (k6_xcmplx_0(1, k1_funct_1(k16_sin_cos, D))=k5_numbers)  & k1_funct_1(C, D)=k7_xcmplx_0(1, k6_xcmplx_0(1, k1_funct_1(k16_sin_cos, D)))) ) ) ) )  &  (k9_xtuple_0(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_fdiff_9))=B &  (B=k9_xtuple_0(C) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, A))) ) ) )  => k2_integra5(A, C)=k6_xcmplx_0(k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_fdiff_9), k2_seq_4(A)), k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_fdiff_9), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t39_integr11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k9_xtuple_0(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_fdiff_9))) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) =>  ( ~ (k2_xcmplx_0(1, k1_funct_1(k16_sin_cos, B))=k5_numbers)  &  ~ (k6_xcmplx_0(1, k1_funct_1(k16_sin_cos, B))=k5_numbers) ) ) ) ) )  =>  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_fdiff_9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_fdiff_9), A), B)=k7_xcmplx_0(1, k2_xcmplx_0(1, k1_funct_1(k16_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t40_integr11, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, B) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) =>  ( ~ (k2_xcmplx_0(1, k1_funct_1(k16_sin_cos, D))=k5_numbers)  &  ( ~ (k6_xcmplx_0(1, k1_funct_1(k16_sin_cos, D))=k5_numbers)  & k1_funct_1(C, D)=k7_xcmplx_0(1, k2_xcmplx_0(1, k1_funct_1(k16_sin_cos, D)))) ) ) ) )  &  (k9_xtuple_0(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_fdiff_9))=B &  (B=k9_xtuple_0(C) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, A))) ) ) )  => k2_integra5(A, C)=k6_xcmplx_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_fdiff_9), k2_seq_4(A)), k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_fdiff_9), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t41_integr11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k9_xtuple_0(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k27_sin_cos), k2_fdiff_9))) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) =>  ( ~ (k2_xcmplx_0(1, k1_funct_1(k18_sin_cos, B))=k5_numbers)  &  ~ (k6_xcmplx_0(1, k1_funct_1(k18_sin_cos, B))=k5_numbers) ) ) ) ) )  =>  (r2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k27_sin_cos), k2_fdiff_9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k27_sin_cos), k2_fdiff_9), A), B)=k7_xcmplx_0(1, k2_xcmplx_0(1, k1_funct_1(k18_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t42_integr11, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, B) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) =>  ( ~ (k2_xcmplx_0(1, k1_funct_1(k18_sin_cos, D))=k5_numbers)  &  ( ~ (k6_xcmplx_0(1, k1_funct_1(k18_sin_cos, D))=k5_numbers)  & k1_funct_1(C, D)=k7_xcmplx_0(1, k2_xcmplx_0(1, k1_funct_1(k18_sin_cos, D)))) ) ) ) )  &  (k9_xtuple_0(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k27_sin_cos), k2_fdiff_9))=B &  (B=k9_xtuple_0(C) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, A))) ) ) )  => k2_integra5(A, C)=k6_xcmplx_0(k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k27_sin_cos), k2_fdiff_9), k2_seq_4(A)), k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k27_sin_cos), k2_fdiff_9), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t43_integr11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k9_xtuple_0(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k27_sin_cos), k2_fdiff_9))) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) =>  ( ~ (k2_xcmplx_0(1, k1_funct_1(k18_sin_cos, B))=k5_numbers)  &  ~ (k6_xcmplx_0(1, k1_funct_1(k18_sin_cos, B))=k5_numbers) ) ) ) ) )  =>  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k27_sin_cos), k2_fdiff_9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k27_sin_cos), k2_fdiff_9), A), B)=k7_xcmplx_0(1, k6_xcmplx_0(1, k1_funct_1(k18_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t44_integr11, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, B) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) =>  ( ~ (k2_xcmplx_0(1, k1_funct_1(k18_sin_cos, D))=k5_numbers)  &  ( ~ (k6_xcmplx_0(1, k1_funct_1(k18_sin_cos, D))=k5_numbers)  & k1_funct_1(C, D)=k7_xcmplx_0(1, k6_xcmplx_0(1, k1_funct_1(k18_sin_cos, D)))) ) ) ) )  &  (k9_xtuple_0(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k27_sin_cos), k2_fdiff_9))=B &  (B=k9_xtuple_0(C) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, A))) ) ) )  => k2_integra5(A, C)=k6_xcmplx_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k27_sin_cos), k2_fdiff_9), k2_seq_4(A)), k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k27_sin_cos), k2_fdiff_9), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t45_integr11, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, B) &  (r1_tarski(B, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(C, D)=k7_xcmplx_0(1, k2_xcmplx_0(1, k1_square_1(D)))) ) )  &  (B=k9_xtuple_0(C) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, A))) ) ) )  => k2_integra5(A, C)=k6_xcmplx_0(k1_funct_1(k1_sin_cos9, k2_seq_4(A)), k1_funct_1(k1_sin_cos9, k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t46_integr11, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, C) &  (r1_tarski(C, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) => k1_funct_1(D, E)=k7_xcmplx_0(A, k2_xcmplx_0(1, k1_square_1(E)))) ) )  &  (C=k9_xtuple_0(D) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, D, B))) ) ) )  => k2_integra5(B, D)=k6_xcmplx_0(k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k1_sin_cos9, A), k2_seq_4(B)), k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k1_sin_cos9, A), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ).
fof(t47_integr11, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, B) &  (r1_tarski(B, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(C, D)=k4_xcmplx_0(k7_xcmplx_0(1, k2_xcmplx_0(1, k1_square_1(D))))) ) )  &  (B=k9_xtuple_0(C) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, A))) ) ) )  => k2_integra5(A, C)=k6_xcmplx_0(k1_funct_1(k2_sin_cos9, k2_seq_4(A)), k1_funct_1(k2_sin_cos9, k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t48_integr11, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, C) &  (r1_tarski(C, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) => k1_funct_1(D, E)=k4_xcmplx_0(k7_xcmplx_0(A, k2_xcmplx_0(1, k1_square_1(E))))) ) )  &  (C=k9_xtuple_0(D) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, D, B))) ) ) )  => k2_integra5(B, D)=k6_xcmplx_0(k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k2_sin_cos9, A), k2_seq_4(B)), k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k2_sin_cos9, A), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ).
fof(t49_integr11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k9_xtuple_0(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k27_sin_cos), k2_fdiff_9))) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) =>  ( ~ (k2_xcmplx_0(1, k1_funct_1(k18_sin_cos, B))=k5_numbers)  &  ~ (k6_xcmplx_0(1, k1_funct_1(k18_sin_cos, B))=k5_numbers) ) ) ) ) )  =>  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k27_sin_cos), k2_fdiff_9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k27_sin_cos), k2_fdiff_9), A), B)=k7_xcmplx_0(k1_funct_1(k18_sin_cos, B), k2_xcmplx_0(1, k1_funct_1(k18_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t50_integr11, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, B) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) =>  ( ~ (k2_xcmplx_0(1, k1_funct_1(k18_sin_cos, D))=k5_numbers)  &  ( ~ (k6_xcmplx_0(1, k1_funct_1(k18_sin_cos, D))=k5_numbers)  & k1_funct_1(C, D)=k7_xcmplx_0(k1_funct_1(k18_sin_cos, D), k2_xcmplx_0(1, k1_funct_1(k18_sin_cos, D)))) ) ) ) )  &  (k9_xtuple_0(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k27_sin_cos), k2_fdiff_9))=B &  (B=k9_xtuple_0(C) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, A))) ) ) )  => k2_integra5(A, C)=k6_xcmplx_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k27_sin_cos), k2_fdiff_9), k2_seq_4(A)), k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k27_sin_cos), k2_fdiff_9), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t51_integr11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k9_xtuple_0(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k27_sin_cos), k2_fdiff_9))) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) =>  ( ~ (k2_xcmplx_0(1, k1_funct_1(k18_sin_cos, B))=k5_numbers)  &  ~ (k6_xcmplx_0(1, k1_funct_1(k18_sin_cos, B))=k5_numbers) ) ) ) ) )  =>  (r2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k27_sin_cos), k2_fdiff_9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k27_sin_cos), k2_fdiff_9), A), B)=k7_xcmplx_0(k1_funct_1(k18_sin_cos, B), k6_xcmplx_0(k1_funct_1(k18_sin_cos, B), 1))) ) ) ) ) ) ) ).
fof(t52_integr11, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, B) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) =>  ( ~ (k2_xcmplx_0(1, k1_funct_1(k18_sin_cos, D))=k5_numbers)  &  ( ~ (k6_xcmplx_0(1, k1_funct_1(k18_sin_cos, D))=k5_numbers)  & k1_funct_1(C, D)=k7_xcmplx_0(k1_funct_1(k18_sin_cos, D), k6_xcmplx_0(k1_funct_1(k18_sin_cos, D), 1))) ) ) ) )  &  (k9_xtuple_0(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k27_sin_cos), k2_fdiff_9))=B &  (B=k9_xtuple_0(C) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, A))) ) ) )  => k2_integra5(A, C)=k6_xcmplx_0(k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k27_sin_cos), k2_fdiff_9), k2_seq_4(A)), k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k27_sin_cos), k2_fdiff_9), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t53_integr11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k9_xtuple_0(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k26_sin_cos), k1_fdiff_9))) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) =>  ( ~ (k2_xcmplx_0(1, k1_funct_1(k16_sin_cos, B))=k5_numbers)  &  ~ (k6_xcmplx_0(1, k1_funct_1(k16_sin_cos, B))=k5_numbers) ) ) ) ) )  =>  (r2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k26_sin_cos), k1_fdiff_9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k26_sin_cos), k1_fdiff_9), A), B)=k7_xcmplx_0(k1_funct_1(k16_sin_cos, B), k2_xcmplx_0(k1_funct_1(k16_sin_cos, B), 1))) ) ) ) ) ) ) ).
fof(t54_integr11, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, B) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) =>  ( ~ (k2_xcmplx_0(1, k1_funct_1(k16_sin_cos, D))=k5_numbers)  &  ( ~ (k6_xcmplx_0(1, k1_funct_1(k16_sin_cos, D))=k5_numbers)  & k1_funct_1(C, D)=k7_xcmplx_0(k1_funct_1(k16_sin_cos, D), k2_xcmplx_0(1, k1_funct_1(k16_sin_cos, D)))) ) ) ) )  &  (r1_tarski(B, k9_xtuple_0(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k26_sin_cos), k1_fdiff_9))) &  (B=k9_xtuple_0(C) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, A))) ) ) )  => k2_integra5(A, C)=k6_xcmplx_0(k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k26_sin_cos), k1_fdiff_9), k2_seq_4(A)), k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k26_sin_cos), k1_fdiff_9), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t55_integr11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k9_xtuple_0(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k26_sin_cos), k1_fdiff_9))) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) =>  ( ~ (k2_xcmplx_0(1, k1_funct_1(k16_sin_cos, B))=k5_numbers)  &  ~ (k6_xcmplx_0(1, k1_funct_1(k16_sin_cos, B))=k5_numbers) ) ) ) ) )  =>  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k26_sin_cos), k1_fdiff_9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k26_sin_cos), k1_fdiff_9), A), B)=k7_xcmplx_0(k1_funct_1(k16_sin_cos, B), k6_xcmplx_0(k1_funct_1(k16_sin_cos, B), 1))) ) ) ) ) ) ) ).
fof(t56_integr11, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, B) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) =>  ( ~ (k2_xcmplx_0(1, k1_funct_1(k16_sin_cos, D))=k5_numbers)  &  ( ~ (k6_xcmplx_0(1, k1_funct_1(k16_sin_cos, D))=k5_numbers)  & k1_funct_1(C, D)=k7_xcmplx_0(k1_funct_1(k16_sin_cos, D), k6_xcmplx_0(k1_funct_1(k16_sin_cos, D), 1))) ) ) ) )  &  (r1_tarski(B, k9_xtuple_0(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k26_sin_cos), k1_fdiff_9))) &  (B=k9_xtuple_0(C) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, A))) ) ) )  => k2_integra5(A, C)=k6_xcmplx_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k26_sin_cos), k1_fdiff_9), k2_seq_4(A)), k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k26_sin_cos), k1_fdiff_9), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t57_integr11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k9_xtuple_0(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_partfun2(k1_numbers, A)))) =>  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_partfun2(k1_numbers, A)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_partfun2(k1_numbers, A)), A), B)=k1_square_1(k1_funct_1(k26_sin_cos, B))) ) ) ) ) ) ) ).
fof(t58_integr11, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, B) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) =>  ( ~ (r1_xxreal_0(k1_funct_1(k18_sin_cos, D), k5_numbers))  & k1_funct_1(C, D)=k1_square_1(k1_funct_1(k26_sin_cos, D))) ) ) )  &  (r1_tarski(B, k9_xtuple_0(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_partfun2(k1_numbers, B)))) &  (B=k9_xtuple_0(C) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, A))) ) ) )  => k2_integra5(A, C)=k6_xcmplx_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_partfun2(k1_numbers, B)), k2_seq_4(A)), k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_partfun2(k1_numbers, B)), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t59_integr11, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k9_xtuple_0(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k27_sin_cos), k1_partfun2(k1_numbers, A)))) =>  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k27_sin_cos), k1_partfun2(k1_numbers, A)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k27_sin_cos), k1_partfun2(k1_numbers, A)), A), B)=k1_square_1(k1_funct_1(k27_sin_cos, B))) ) ) ) ) ) ) ).
fof(t60_integr11, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, B) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) =>  ( ~ (r1_xxreal_0(k1_funct_1(k16_sin_cos, D), k5_numbers))  & k1_funct_1(C, D)=k1_square_1(k1_funct_1(k27_sin_cos, D))) ) ) )  &  (r1_tarski(B, k9_xtuple_0(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k27_sin_cos), k1_partfun2(k1_numbers, B)))) &  (B=k9_xtuple_0(C) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, A))) ) ) )  => k2_integra5(A, C)=k6_xcmplx_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k27_sin_cos), k1_partfun2(k1_numbers, B)), k2_seq_4(A)), k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k27_sin_cos), k1_partfun2(k1_numbers, B)), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t61_integr11, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, B) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) =>  (k1_funct_1(C, D)=k7_xcmplx_0(1, k1_square_1(k1_funct_1(k18_sin_cos, D))) &  ~ (k1_funct_1(k18_sin_cos, D)=k5_numbers) ) ) ) )  &  (k9_xtuple_0(k26_sin_cos)=B &  (B=k9_xtuple_0(C) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, A))) ) ) )  => k2_integra5(A, C)=k6_xcmplx_0(k1_funct_1(k26_sin_cos, k2_seq_4(A)), k1_funct_1(k26_sin_cos, k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t62_integr11, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, B) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) =>  (k1_funct_1(C, D)=k4_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k16_sin_cos, D)))) &  ~ (k1_funct_1(k16_sin_cos, D)=k5_numbers) ) ) ) )  &  (k9_xtuple_0(k27_sin_cos)=B &  (B=k9_xtuple_0(C) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, A))) ) ) )  => k2_integra5(A, C)=k6_xcmplx_0(k1_funct_1(k27_sin_cos, k2_seq_4(A)), k1_funct_1(k27_sin_cos, k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t63_integr11, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, B) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(C, D)=k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(k16_sin_cos, D), k1_square_1(k1_funct_1(k18_sin_cos, D))), k1_square_1(k1_funct_1(k18_sin_cos, D)))) ) )  &  (r1_tarski(B, k9_xtuple_0(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k1_partfun2(k1_numbers, B)))) &  (B=k9_xtuple_0(C) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, A))) ) ) )  => k2_integra5(A, C)=k6_xcmplx_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k1_partfun2(k1_numbers, B)), k2_seq_4(A)), k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k1_partfun2(k1_numbers, B)), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t64_integr11, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, B) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(C, D)=k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(k18_sin_cos, D), k1_square_1(k1_funct_1(k16_sin_cos, D))), k1_square_1(k1_funct_1(k16_sin_cos, D)))) ) )  &  (r1_tarski(B, k9_xtuple_0(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k2_fdiff_9), k1_partfun2(k1_numbers, B)))) &  (B=k9_xtuple_0(C) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, A))) ) ) )  => k2_integra5(A, C)=k6_xcmplx_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k2_fdiff_9), k1_partfun2(k1_numbers, B)), k2_seq_4(A)), k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k2_fdiff_9), k1_partfun2(k1_numbers, B)), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t65_integr11, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, B) &  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( (r2_hidden(C, B) & r1_xxreal_0(k1_funct_1(k16_sin_cos, C), k5_numbers)) ) ) )  &  (r1_tarski(B, k9_xtuple_0(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k3_taylor_1))) &  (B=k9_xtuple_0(k27_sin_cos) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k27_sin_cos, A))) ) ) )  => k2_integra5(A, k27_sin_cos)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k3_taylor_1), k2_seq_4(A)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k3_taylor_1), k3_seq_4(A)))) ) ) ) ) ).
fof(t66_integr11, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, B) &  (r1_tarski(B, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(C, D)=k7_xcmplx_0(k1_funct_1(k1_sin_cos6, D), k3_square_1(k6_xcmplx_0(1, k1_square_1(D))))) ) )  &  (r1_tarski(B, k9_xtuple_0(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos6, k1_taylor_1(2)), k7_xcmplx_0(1, 2)))) &  (B=k9_xtuple_0(C) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, A))) ) ) ) )  => k2_integra5(A, C)=k6_xcmplx_0(k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos6, k1_taylor_1(2)), k7_xcmplx_0(1, 2)), k2_seq_4(A)), k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos6, k1_taylor_1(2)), k7_xcmplx_0(1, 2)), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t67_integr11, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, B) &  (r1_tarski(B, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(C, D)=k4_xcmplx_0(k7_xcmplx_0(k1_funct_1(k3_sin_cos6, D), k3_square_1(k6_xcmplx_0(1, k1_square_1(D)))))) ) )  &  (r1_tarski(B, k9_xtuple_0(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_sin_cos6, k1_taylor_1(2)), k7_xcmplx_0(1, 2)))) &  (B=k9_xtuple_0(C) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, A))) ) ) ) )  => k2_integra5(A, C)=k6_xcmplx_0(k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_sin_cos6, k1_taylor_1(2)), k7_xcmplx_0(1, 2)), k2_seq_4(A)), k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_sin_cos6, k1_taylor_1(2)), k7_xcmplx_0(1, 2)), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t68_integr11, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, B) &  (r1_tarski(B, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (C=k47_valued_1(k1_numbers, k1_numbers, k1_numbers, D, E) &  (E=k1_taylor_1(2) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, B) =>  (k1_funct_1(D, F)=1 &  ( ~ (r1_xxreal_0(k1_funct_1(C, F), k5_numbers))  &  ~ (F=k5_numbers) ) ) ) ) )  &  (k9_xtuple_0(k1_sin_cos6)=B & r1_tarski(B, k9_xtuple_0(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k1_sin_cos6), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(1, 2))))))) ) ) ) ) )  => k2_integra5(A, k1_sin_cos6)=k6_xcmplx_0(k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k1_sin_cos6), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(1, 2)))), k2_seq_4(A)), k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k1_sin_cos6), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(1, 2)))), k3_seq_4(A)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t69_integr11, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, C) &  (D=k47_valued_1(k1_numbers, k1_numbers, k1_numbers, E, F) &  (F=k1_taylor_1(2) &  ( (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, C) =>  (k1_funct_1(E, H)=k1_square_1(A) &  ( ~ (r1_xxreal_0(k1_funct_1(D, H), k5_numbers))  &  (k1_funct_1(G, H)=k7_xcmplx_0(H, A) &  ( ~ (r1_xxreal_0(k1_funct_1(G, H), k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, k1_funct_1(G, H)))  &  ( ~ (H=k5_numbers)  &  ~ (r1_xxreal_0(A, k5_numbers)) ) ) ) ) ) ) ) ) )  &  (k9_xtuple_0(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, G, k1_sin_cos6))=C &  (r1_tarski(C, k9_xtuple_0(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, G, k1_sin_cos6)), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k4_taylor_1(k7_xcmplx_0(1, 2)))))) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, G, k1_sin_cos6), B))) ) ) ) ) )  => k2_integra5(B, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, G, k1_sin_cos6))=k6_xcmplx_0(k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, G, k1_sin_cos6)), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k4_taylor_1(k7_xcmplx_0(1, 2)))), k2_seq_4(B)), k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, G, k1_sin_cos6)), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k4_taylor_1(k7_xcmplx_0(1, 2)))), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_integr11, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, B) &  (r1_tarski(B, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (C=k47_valued_1(k1_numbers, k1_numbers, k1_numbers, D, E) &  (E=k1_taylor_1(2) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, B) =>  (k1_funct_1(D, F)=1 &  ( ~ (r1_xxreal_0(k1_funct_1(C, F), k5_numbers))  &  ~ (F=k5_numbers) ) ) ) ) )  &  (k9_xtuple_0(k3_sin_cos6)=B & r1_tarski(B, k9_xtuple_0(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k3_sin_cos6), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(1, 2))))))) ) ) ) ) )  => k2_integra5(A, k3_sin_cos6)=k6_xcmplx_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k3_sin_cos6), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(1, 2)))), k2_seq_4(A)), k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k3_sin_cos6), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(1, 2)))), k3_seq_4(A)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_integr11, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, C) &  (D=k47_valued_1(k1_numbers, k1_numbers, k1_numbers, E, F) &  (F=k1_taylor_1(2) &  ( (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, C) =>  (k1_funct_1(E, H)=k1_square_1(A) &  ( ~ (r1_xxreal_0(k1_funct_1(D, H), k5_numbers))  &  (k1_funct_1(G, H)=k7_xcmplx_0(H, A) &  ( ~ (r1_xxreal_0(k1_funct_1(G, H), k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, k1_funct_1(G, H)))  &  ( ~ (H=k5_numbers)  &  ~ (r1_xxreal_0(A, k5_numbers)) ) ) ) ) ) ) ) ) )  &  (k9_xtuple_0(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, G, k3_sin_cos6))=C &  (C=k9_xtuple_0(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, G, k3_sin_cos6)), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k4_taylor_1(k7_xcmplx_0(1, 2))))) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, G, k3_sin_cos6), B))) ) ) ) ) )  => k2_integra5(B, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, G, k3_sin_cos6))=k6_xcmplx_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, G, k3_sin_cos6)), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k4_taylor_1(k7_xcmplx_0(1, 2)))), k2_seq_4(B)), k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, G, k3_sin_cos6)), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k4_taylor_1(k7_xcmplx_0(1, 2)))), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t72_integr11, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, B) &  (r1_tarski(B, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (D=k1_taylor_1(2) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) => k1_funct_1(C, E)=1) ) )  &  (B=k9_xtuple_0(k1_sin_cos9) & B=k9_xtuple_0(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k1_sin_cos9), k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k3_taylor_1), k7_xcmplx_0(1, 2))))) ) ) ) )  => k2_integra5(A, k1_sin_cos9)=k6_xcmplx_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k1_sin_cos9), k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k3_taylor_1), k7_xcmplx_0(1, 2))), k2_seq_4(A)), k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k1_sin_cos9), k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k3_taylor_1), k7_xcmplx_0(1, 2))), k3_seq_4(A)))) ) ) ) ) ) ) ) ) ).
fof(t73_integr11, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, B) &  (r1_tarski(B, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (D=k1_taylor_1(2) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) => k1_funct_1(C, E)=1) ) )  &  (k9_xtuple_0(k2_sin_cos9)=B & B=k9_xtuple_0(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k2_sin_cos9), k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k3_taylor_1), k7_xcmplx_0(1, 2))))) ) ) ) )  => k2_integra5(A, k2_sin_cos9)=k6_xcmplx_0(k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k2_sin_cos9), k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k3_taylor_1), k7_xcmplx_0(1, 2))), k2_seq_4(A)), k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k2_sin_cos9), k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k3_taylor_1), k7_xcmplx_0(1, 2))), k3_seq_4(A)))) ) ) ) ) ) ) ) ) ).
fof(t1_integr12, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(C, k1_relset_1(k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)))) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(A, D)=1) ) )  & r2_relset_1(k1_numbers, k1_numbers, B, k1_taylor_1(2))) )  =>  (r2_fdiff_1(k6_rfunct_1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)), C) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(k2_fdiff_1(k6_rfunct_1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)), C), D)=k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(2, D), k1_square_1(k2_xcmplx_0(1, k1_newton(D, 2)))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_integr12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v3_rcomp_1(F) & m1_subset_1(F, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, F) &  (r2_relset_1(k1_numbers, k1_numbers, B, k3_rfunct_1(k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, D, E)), C)) &  (r2_relset_1(k1_numbers, k1_numbers, C, k2_sin_cos9) &  (r1_tarski(F, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (r2_relset_1(k1_numbers, k1_numbers, E, k1_taylor_1(2)) &  ( (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, F) =>  (k1_funct_1(D, G)=1 &  ~ (r1_xxreal_0(k1_funct_1(C, G), k5_numbers)) ) ) ) )  & F=k1_relset_1(k1_numbers, B)) ) ) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k3_taylor_1)), k2_seq_4(A)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k3_taylor_1)), k3_seq_4(A)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_integr12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, D) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, D) =>  ( ~ (r1_xxreal_0(1, k1_funct_1(k22_sin_cos, E)))  & k1_funct_1(C, E)=1) ) ) )  &  (r1_tarski(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k1_sin_cos9))) &  (D=k1_relset_1(k1_numbers, B) & r2_relset_1(k1_numbers, k1_numbers, B, k3_rfunct_1(k1_numbers, k1_numbers, k22_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, k41_valued_1(k1_numbers, k1_numbers, k22_sin_cos))))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k1_sin_cos9), k2_seq_4(A)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k1_sin_cos9), k3_seq_4(A)))) ) ) ) ) ) ) ) ) ).
fof(t4_integr12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, D) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, D) =>  ( ~ (r1_xxreal_0(1, k1_funct_1(k22_sin_cos, E)))  & k1_funct_1(C, E)=1) ) ) )  &  (r1_tarski(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k2_sin_cos9))) &  (D=k1_relset_1(k1_numbers, B) & r2_relset_1(k1_numbers, k1_numbers, B, k3_rfunct_1(k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k22_sin_cos), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, k41_valued_1(k1_numbers, k1_numbers, k22_sin_cos))))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k2_sin_cos9), k2_seq_4(A)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k2_sin_cos9), k3_seq_4(A)))) ) ) ) ) ) ) ) ) ).
fof(t5_integr12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  (C=k1_relset_1(k1_numbers, B) & r2_relset_1(k1_numbers, k1_numbers, B, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k3_rfunct_1(k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos)), k3_rfunct_1(k1_numbers, k1_numbers, k22_sin_cos, k41_valued_1(k1_numbers, k1_numbers, k18_sin_cos))))) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k26_sin_cos), k2_seq_4(A)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k26_sin_cos), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t6_integr12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  (C=k1_relset_1(k1_numbers, B) & r2_relset_1(k1_numbers, k1_numbers, B, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k3_rfunct_1(k1_numbers, k1_numbers, k18_sin_cos, k16_sin_cos)), k3_rfunct_1(k1_numbers, k1_numbers, k22_sin_cos, k41_valued_1(k1_numbers, k1_numbers, k16_sin_cos))))) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k27_sin_cos), k2_seq_4(A)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k27_sin_cos), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t7_integr12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, D) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, D) => k1_funct_1(C, E)=1) ) )  &  (r1_tarski(D, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (D=k1_relset_1(k1_numbers, B) & r2_relset_1(k1_numbers, k1_numbers, B, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k1_sin_cos9), k3_rfunct_1(k1_numbers, k1_numbers, k22_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, k1_taylor_1(2)))))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k1_sin_cos9), k2_seq_4(A)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k1_sin_cos9), k3_seq_4(A)))) ) ) ) ) ) ) ) ) ).
fof(t8_integr12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, D) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, D) => k1_funct_1(C, E)=1) ) )  &  (r1_tarski(D, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (D=k1_relset_1(k1_numbers, B) & r2_relset_1(k1_numbers, k1_numbers, B, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k2_sin_cos9), k3_rfunct_1(k1_numbers, k1_numbers, k22_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, k1_taylor_1(2)))))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k2_sin_cos9), k2_seq_4(A)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k2_sin_cos9), k3_seq_4(A)))) ) ) ) ) ) ) ) ) ).
fof(t9_integr12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  (C=k1_relset_1(k1_numbers, B) & r2_relset_1(k1_numbers, k1_numbers, B, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k22_sin_cos), k18_sin_cos))) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k22_sin_cos), k2_seq_4(A)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k22_sin_cos), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t10_integr12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  (C=k1_relset_1(k1_numbers, B) & r2_relset_1(k1_numbers, k1_numbers, B, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k22_sin_cos), k16_sin_cos))) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k22_sin_cos)), k2_seq_4(A)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k22_sin_cos)), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t11_integr12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( (r2_hidden(D, C) & r1_xxreal_0(D, k5_numbers)) ) ) )  &  (C=k1_relset_1(k1_numbers, B) & r2_relset_1(k1_numbers, k1_numbers, B, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k18_sin_cos), k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C))))) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k16_sin_cos), k2_seq_4(A)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k16_sin_cos), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t12_integr12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( (r2_hidden(D, C) & r1_xxreal_0(D, k5_numbers)) ) ) )  &  (C=k1_relset_1(k1_numbers, B) & r2_relset_1(k1_numbers, k1_numbers, B, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k16_sin_cos), k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C))))) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k18_sin_cos)), k2_seq_4(A)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k18_sin_cos)), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t13_integr12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  (C=k1_relset_1(k1_numbers, B) & r2_relset_1(k1_numbers, k1_numbers, B, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k18_sin_cos)))) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k16_sin_cos), k2_seq_4(A)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k16_sin_cos), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t14_integr12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  (C=k1_relset_1(k1_numbers, B) & r2_relset_1(k1_numbers, k1_numbers, B, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k16_sin_cos)))) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k18_sin_cos)), k2_seq_4(A)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k18_sin_cos)), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t15_integr12, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [G] :  ( (v3_rcomp_1(G) & m1_subset_1(G, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, G) &  (r1_tarski(G, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, E, F), k3_taylor_1))) &  ( (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, G) =>  (k1_funct_1(D, H)=k7_xcmplx_0(H, A) &  ( ~ (r1_xxreal_0(k1_funct_1(D, H), k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, k1_funct_1(D, H)))  & k1_funct_1(E, H)=1) ) ) ) ) )  &  (r2_relset_1(k1_numbers, k1_numbers, F, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k1_taylor_1(2))) &  (G=k1_relset_1(k1_numbers, C) & r2_relset_1(k1_numbers, k1_numbers, C, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k1_sin_cos9))) ) ) ) )  =>  (A=k5_numbers | k2_integra5(B, C)=k6_xcmplx_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, G), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k1_sin_cos9)), k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, E, F), k3_taylor_1), k7_xcmplx_0(A, 2))), k2_seq_4(B)), k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, G), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k1_sin_cos9)), k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, E, F), k3_taylor_1), k7_xcmplx_0(A, 2))), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_integr12, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [G] :  ( (v3_rcomp_1(G) & m1_subset_1(G, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, G) &  (r1_tarski(G, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, E, F), k3_taylor_1))) &  ( (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, G) =>  (k1_funct_1(D, H)=k7_xcmplx_0(H, A) &  ( ~ (r1_xxreal_0(k1_funct_1(D, H), k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, k1_funct_1(D, H)))  & k1_funct_1(E, H)=1) ) ) ) ) )  &  (r2_relset_1(k1_numbers, k1_numbers, F, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k1_taylor_1(2))) &  (G=k1_relset_1(k1_numbers, C) & r2_relset_1(k1_numbers, k1_numbers, C, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k2_sin_cos9))) ) ) ) )  =>  (A=k5_numbers | k2_integra5(B, C)=k6_xcmplx_0(k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, G), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k2_sin_cos9)), k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, E, F), k3_taylor_1), k7_xcmplx_0(A, 2))), k2_seq_4(B)), k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, G), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k2_sin_cos9)), k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, E, F), k3_taylor_1), k7_xcmplx_0(A, 2))), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_integr12, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v3_rcomp_1(F) & m1_subset_1(F, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, F) &  (r2_relset_1(k1_numbers, k1_numbers, C, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, E, k1_sin_cos9), k3_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, F), k26_valued_1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, D, k41_valued_1(k1_numbers, k1_numbers, E)), A)))) &  ( (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, F) =>  (k1_funct_1(D, G)=1 &  (k1_funct_1(E, G)=k7_xcmplx_0(G, A) &  ( ~ (r1_xxreal_0(k1_funct_1(E, G), k4_xcmplx_0(1)))  &  ~ (r1_xxreal_0(1, k1_funct_1(E, G))) ) ) ) ) ) )  &  (F=k1_relset_1(k1_numbers, C) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, B))) ) ) )  => k2_integra5(B, C)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, F), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, E, k1_sin_cos9)), k2_seq_4(B)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, F), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, E, k1_sin_cos9)), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_integr12, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v3_rcomp_1(F) & m1_subset_1(F, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, F) &  (r2_relset_1(k1_numbers, k1_numbers, C, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, E, k2_sin_cos9), k3_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, F), k26_valued_1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, D, k41_valued_1(k1_numbers, k1_numbers, E)), A)))) &  ( (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, F) =>  (k1_funct_1(D, G)=1 &  (k1_funct_1(E, G)=k7_xcmplx_0(G, A) &  ( ~ (r1_xxreal_0(k1_funct_1(E, G), k4_xcmplx_0(1)))  &  ~ (r1_xxreal_0(1, k1_funct_1(E, G))) ) ) ) ) ) )  &  (F=k1_relset_1(k1_numbers, C) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, B))) ) ) )  => k2_integra5(B, C)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, F), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, E, k2_sin_cos9)), k2_seq_4(B)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, F), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, E, k2_sin_cos9)), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_integr12, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v3_rcomp_1(E) & m1_subset_1(E, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, E) &  (r1_tarski(E, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, E) => k1_funct_1(D, F)=1) ) )  &  (E=k1_relset_1(k1_numbers, C) &  (r1_tarski(E, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos6, k1_taylor_1(A)))) & r2_relset_1(k1_numbers, k1_numbers, C, k3_rfunct_1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos6, k1_taylor_1(k6_xcmplx_0(A, 1))), A), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, D, k1_taylor_1(2)), k4_taylor_1(k7_xcmplx_0(1, 2)))))) ) ) ) )  =>  (r1_xxreal_0(A, 1) | k2_integra5(B, C)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos6, k1_taylor_1(A)), k2_seq_4(B)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos6, k1_taylor_1(A)), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_integr12, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v3_rcomp_1(E) & m1_subset_1(E, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, E) &  (r1_tarski(E, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, E) => k1_funct_1(D, F)=1) ) )  &  (r1_tarski(E, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_sin_cos6, k1_taylor_1(A)))) &  (E=k1_relset_1(k1_numbers, C) & r2_relset_1(k1_numbers, k1_numbers, C, k3_rfunct_1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_sin_cos6, k1_taylor_1(k6_xcmplx_0(A, 1))), A), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, D, k1_taylor_1(2)), k4_taylor_1(k7_xcmplx_0(1, 2)))))) ) ) ) )  =>  (r1_xxreal_0(A, 1) | k2_integra5(B, C)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_sin_cos6, k1_taylor_1(A))), k2_seq_4(B)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_sin_cos6, k1_taylor_1(A))), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_integr12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, D) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, D) => k1_funct_1(C, E)=1) ) )  &  (r1_tarski(D, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (D=k1_relset_1(k1_numbers, B) & r2_relset_1(k1_numbers, k1_numbers, B, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos6, k3_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, D), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, k1_taylor_1(2)), k4_taylor_1(k7_xcmplx_0(1, 2))))))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, D), k1_sin_cos6), k2_seq_4(A)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, D), k1_sin_cos6), k3_seq_4(A)))) ) ) ) ) ) ) ) ) ).
fof(t22_integr12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, D) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, D) => k1_funct_1(C, E)=1) ) )  &  (r1_tarski(D, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (D=k1_relset_1(k1_numbers, B) & r2_relset_1(k1_numbers, k1_numbers, B, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_sin_cos6, k3_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, D), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, k1_taylor_1(2)), k4_taylor_1(k7_xcmplx_0(1, 2))))))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, D), k3_sin_cos6), k2_seq_4(A)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, D), k3_sin_cos6), k3_seq_4(A)))) ) ) ) ) ) ) ) ) ).
fof(t23_integr12, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [G] :  ( (v3_rcomp_1(G) & m1_subset_1(G, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(C, G) &  (r1_tarski(G, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  ( (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, G) =>  (k1_funct_1(E, H)=k2_xcmplx_0(k3_xcmplx_0(A, H), B) & k1_funct_1(F, H)=1) ) ) )  &  (G=k1_relset_1(k1_numbers, D) & r2_relset_1(k1_numbers, k1_numbers, D, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_sin_cos6, A), k3_rfunct_1(k1_numbers, k1_numbers, E, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, F, k1_taylor_1(2)), k4_taylor_1(k7_xcmplx_0(1, 2))))))) ) ) )  => k2_integra5(C, D)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, E, k1_sin_cos6), k2_seq_4(C)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, E, k1_sin_cos6), k3_seq_4(C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_integr12, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [G] :  ( (v3_rcomp_1(G) & m1_subset_1(G, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(C, G) &  (r1_tarski(G, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  ( (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, G) =>  (k1_funct_1(E, H)=k2_xcmplx_0(k3_xcmplx_0(A, H), B) & k1_funct_1(F, H)=1) ) ) )  &  (G=k1_relset_1(k1_numbers, D) & r2_relset_1(k1_numbers, k1_numbers, D, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k3_sin_cos6, A), k3_rfunct_1(k1_numbers, k1_numbers, E, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, F, k1_taylor_1(2)), k4_taylor_1(k7_xcmplx_0(1, 2))))))) ) ) )  => k2_integra5(C, D)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, E, k3_sin_cos6), k2_seq_4(C)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, E, k3_sin_cos6), k3_seq_4(C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_integr12, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v3_rcomp_1(F) & m1_subset_1(F, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, F) &  ( (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, F) =>  (k1_funct_1(D, G)=1 &  (k1_funct_1(E, G)=k7_xcmplx_0(G, A) &  ( ~ (r1_xxreal_0(k1_funct_1(E, G), k4_xcmplx_0(1)))  &  ~ (r1_xxreal_0(1, k1_funct_1(E, G))) ) ) ) ) ) )  &  (F=k1_relset_1(k1_numbers, C) &  (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, B)) & r2_relset_1(k1_numbers, k1_numbers, C, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, E, k1_sin_cos6), k3_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, F), k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, D, k41_valued_1(k1_numbers, k1_numbers, E)), k4_taylor_1(k7_xcmplx_0(1, 2))), A))))) ) ) )  => k2_integra5(B, C)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, F), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, E, k1_sin_cos6)), k2_seq_4(B)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, F), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, E, k1_sin_cos6)), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_integr12, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v3_rcomp_1(F) & m1_subset_1(F, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, F) &  ( (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, F) =>  (k1_funct_1(D, G)=1 &  (k1_funct_1(E, G)=k7_xcmplx_0(G, A) &  ( ~ (r1_xxreal_0(k1_funct_1(E, G), k4_xcmplx_0(1)))  &  ~ (r1_xxreal_0(1, k1_funct_1(E, G))) ) ) ) ) ) )  &  (F=k1_relset_1(k1_numbers, C) &  (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, B)) & r2_relset_1(k1_numbers, k1_numbers, C, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, E, k3_sin_cos6), k3_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, F), k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, D, k41_valued_1(k1_numbers, k1_numbers, E)), k4_taylor_1(k7_xcmplx_0(1, 2))), A))))) ) ) )  => k2_integra5(B, C)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, F), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, E, k3_sin_cos6)), k2_seq_4(B)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, F), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, E, k3_sin_cos6)), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_integr12, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, D) &  (r2_relset_1(k1_numbers, k1_numbers, C, k3_rfunct_1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_taylor_1(k6_xcmplx_0(A, 1))), A), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k1_taylor_1(k1_nat_1(A, 1))))) &  (r1_xxreal_0(1, A) &  (r1_tarski(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_taylor_1(A)))) & D=k1_relset_1(k1_numbers, C)) ) ) )  => k2_integra5(B, C)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_taylor_1(A)), k2_seq_4(B)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_taylor_1(A)), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ).
fof(t28_integr12, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, D) &  (r2_relset_1(k1_numbers, k1_numbers, C, k3_rfunct_1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k1_taylor_1(k6_xcmplx_0(A, 1))), A), k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_taylor_1(k1_nat_1(A, 1))))) &  (r1_xxreal_0(1, A) &  (r1_tarski(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k1_taylor_1(A)))) & D=k1_relset_1(k1_numbers, C)) ) ) )  => k2_integra5(B, C)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k1_taylor_1(A))), k2_seq_4(B)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k1_taylor_1(A))), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ).
fof(t29_integr12, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v3_rcomp_1(E) & m1_subset_1(E, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, E) &  (r1_tarski(E, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k26_sin_cos))) &  (r2_relset_1(k1_numbers, k1_numbers, C, k3_rfunct_1(k1_numbers, k1_numbers, k41_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k16_sin_cos)), k41_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k18_sin_cos)))) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, E) =>  (k1_funct_1(D, F)=k3_xcmplx_0(A, F) &  ~ (A=k5_numbers) ) ) ) )  & E=k1_relset_1(k1_numbers, C)) ) ) )  => k2_integra5(B, C)=k6_xcmplx_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k26_sin_cos), k7_xcmplx_0(1, A)), k1_partfun2(k1_numbers, E)), k2_seq_4(B)), k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k26_sin_cos), k7_xcmplx_0(1, A)), k1_partfun2(k1_numbers, E)), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_integr12, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v3_rcomp_1(E) & m1_subset_1(E, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, E) &  (r1_tarski(E, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k27_sin_cos))) &  (r2_relset_1(k1_numbers, k1_numbers, C, k3_rfunct_1(k1_numbers, k1_numbers, k41_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k18_sin_cos)), k41_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k16_sin_cos)))) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, E) =>  (k1_funct_1(D, F)=k3_xcmplx_0(A, F) &  ~ (A=k5_numbers) ) ) ) )  & E=k1_relset_1(k1_numbers, C)) ) ) )  => k2_integra5(B, C)=k6_xcmplx_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k27_sin_cos), k4_xcmplx_0(k7_xcmplx_0(1, A))), k1_partfun2(k1_numbers, E)), k2_seq_4(B)), k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k27_sin_cos), k4_xcmplx_0(k7_xcmplx_0(1, A))), k1_partfun2(k1_numbers, E)), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_integr12, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v3_rcomp_1(F) & m1_subset_1(F, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(C, F) &  ( (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, F) => k1_funct_1(E, G)=k2_xcmplx_0(k3_xcmplx_0(A, G), B)) ) )  &  (F=k1_relset_1(k1_numbers, D) & r2_relset_1(k1_numbers, k1_numbers, D, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), A), k3_rfunct_1(k1_numbers, k1_numbers, E, k41_valued_1(k1_numbers, k1_numbers, k18_sin_cos))))) ) )  => k2_integra5(C, D)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, E, k26_sin_cos), k2_seq_4(C)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, E, k26_sin_cos), k3_seq_4(C)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_integr12, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v3_rcomp_1(F) & m1_subset_1(F, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(C, F) &  ( (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, F) => k1_funct_1(E, G)=k2_xcmplx_0(k3_xcmplx_0(A, G), B)) ) )  &  (F=k1_relset_1(k1_numbers, D) & r2_relset_1(k1_numbers, k1_numbers, D, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k18_sin_cos, k16_sin_cos), A), k3_rfunct_1(k1_numbers, k1_numbers, E, k41_valued_1(k1_numbers, k1_numbers, k16_sin_cos))))) ) )  => k2_integra5(C, D)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, E, k27_sin_cos), k2_seq_4(C)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, E, k27_sin_cos), k3_seq_4(C)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_integr12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k7_xcmplx_0(k1_square_1(k1_funct_1(k16_sin_cos, D)), k1_square_1(k1_funct_1(k18_sin_cos, D)))) ) )  &  (r1_tarski(C, k1_relset_1(k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_partfun2(k1_numbers, C)))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_partfun2(k1_numbers, C)), k2_seq_4(A)), k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_partfun2(k1_numbers, C)), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t34_integr12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k7_xcmplx_0(k1_square_1(k1_funct_1(k18_sin_cos, D)), k1_square_1(k1_funct_1(k16_sin_cos, D)))) ) )  &  (r1_tarski(C, k1_relset_1(k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k27_sin_cos), k1_partfun2(k1_numbers, C)))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k27_sin_cos), k1_partfun2(k1_numbers, C)), k2_seq_4(A)), k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k27_sin_cos), k1_partfun2(k1_numbers, C)), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t35_integr12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) =>  (k1_funct_1(B, D)=k7_xcmplx_0(1, k3_xcmplx_0(D, k2_xcmplx_0(1, k1_square_1(k1_funct_1(k3_taylor_1, D))))) &  ( ~ (r1_xxreal_0(k1_funct_1(k3_taylor_1, D), k4_xcmplx_0(1)))  &  ~ (r1_xxreal_0(1, k1_funct_1(k3_taylor_1, D))) ) ) ) ) )  &  (r1_tarski(C, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k1_sin_cos9))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k1_sin_cos9), k2_seq_4(A)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k1_sin_cos9), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t36_integr12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) =>  (k1_funct_1(B, D)=k4_xcmplx_0(k7_xcmplx_0(1, k3_xcmplx_0(D, k2_xcmplx_0(1, k1_square_1(k1_funct_1(k3_taylor_1, D)))))) &  ( ~ (r1_xxreal_0(k1_funct_1(k3_taylor_1, D), k4_xcmplx_0(1)))  &  ~ (r1_xxreal_0(1, k1_funct_1(k3_taylor_1, D))) ) ) ) ) )  &  (r1_tarski(C, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k2_sin_cos9))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k2_sin_cos9), k2_seq_4(A)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k2_sin_cos9), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t37_integr12, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v3_rcomp_1(F) & m1_subset_1(F, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(C, F) &  ( (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, F) =>  (k1_funct_1(D, G)=k7_xcmplx_0(A, k3_square_1(k6_xcmplx_0(1, k1_square_1(k2_xcmplx_0(k3_xcmplx_0(A, G), B))))) &  (k1_funct_1(E, G)=k2_xcmplx_0(k3_xcmplx_0(A, G), B) &  ( ~ (r1_xxreal_0(k1_funct_1(E, G), k4_xcmplx_0(1)))  &  ~ (r1_xxreal_0(1, k1_funct_1(E, G))) ) ) ) ) ) )  &  (r1_tarski(F, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, E, k1_sin_cos6))) &  (F=k1_relset_1(k1_numbers, D) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, D, C))) ) ) )  => k2_integra5(C, D)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, E, k1_sin_cos6), k2_seq_4(C)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, E, k1_sin_cos6), k3_seq_4(C)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_integr12, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v3_rcomp_1(F) & m1_subset_1(F, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(C, F) &  ( (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, F) =>  (k1_funct_1(D, G)=k7_xcmplx_0(A, k3_square_1(k6_xcmplx_0(1, k1_square_1(k2_xcmplx_0(k3_xcmplx_0(A, G), B))))) &  (k1_funct_1(E, G)=k2_xcmplx_0(k3_xcmplx_0(A, G), B) &  ( ~ (r1_xxreal_0(k1_funct_1(E, G), k4_xcmplx_0(1)))  &  ~ (r1_xxreal_0(1, k1_funct_1(E, G))) ) ) ) ) ) )  &  (r1_tarski(F, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, E, k3_sin_cos6))) &  (F=k1_relset_1(k1_numbers, D) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, D, C))) ) ) )  => k2_integra5(C, D)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, E, k3_sin_cos6)), k2_seq_4(C)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, E, k3_sin_cos6)), k3_seq_4(C)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_integr12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v3_rcomp_1(F) & m1_subset_1(F, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, F) &  (r2_relset_1(k1_numbers, k1_numbers, D, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, E)) &  (r2_relset_1(k1_numbers, k1_numbers, E, k1_taylor_1(2)) &  ( (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, F) =>  (k1_funct_1(B, G)=k3_xcmplx_0(G, k6_prepower(k6_xcmplx_0(1, k3_prepower(G, 2)), k4_xcmplx_0(k7_xcmplx_0(1, 2)))) &  (k1_funct_1(C, G)=1 &  ~ (r1_xxreal_0(k1_funct_1(D, G), k5_numbers)) ) ) ) ) )  &  (r1_tarski(F, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k4_taylor_1(k7_xcmplx_0(1, 2))))) &  (F=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k4_taylor_1(k7_xcmplx_0(1, 2)))), k2_seq_4(A)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k4_taylor_1(k7_xcmplx_0(1, 2)))), k3_seq_4(A)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_integr12, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [G] :  ( (v3_rcomp_1(G) & m1_subset_1(G, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, G) &  (r2_relset_1(k1_numbers, k1_numbers, D, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, E, F)) &  (r2_relset_1(k1_numbers, k1_numbers, F, k1_taylor_1(2)) &  ( (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, G) =>  (k1_funct_1(C, H)=k3_xcmplx_0(H, k6_prepower(k6_xcmplx_0(k1_square_1(A), k3_prepower(H, 2)), k4_xcmplx_0(k7_xcmplx_0(1, 2)))) &  (k1_funct_1(E, H)=k1_square_1(A) &  ~ (r1_xxreal_0(k1_funct_1(D, H), k5_numbers)) ) ) ) ) )  &  (r1_tarski(G, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k4_taylor_1(k7_xcmplx_0(1, 2))))) &  (G=k1_relset_1(k1_numbers, C) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, B))) ) ) ) ) )  => k2_integra5(B, C)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k4_taylor_1(k7_xcmplx_0(1, 2)))), k2_seq_4(B)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k4_taylor_1(k7_xcmplx_0(1, 2)))), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_integr12, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, D) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, D) =>  (k1_funct_1(C, E)=k7_xcmplx_0(k1_funct_1(k18_sin_cos, E), k3_prepower(k1_funct_1(k16_sin_cos, E), k1_nat_1(A, 1))) &  ~ (k1_funct_1(k16_sin_cos, E)=k5_numbers) ) ) ) )  &  (r1_tarski(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k16_sin_cos), k1_taylor_1(A)))) &  (D=k1_relset_1(k1_numbers, C) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, B))) ) ) )  =>  (r1_xxreal_0(A, k5_numbers) | k2_integra5(B, C)=k6_xcmplx_0(k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k16_sin_cos), k1_taylor_1(A)), k4_xcmplx_0(k7_xcmplx_0(1, A))), k2_seq_4(B)), k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k16_sin_cos), k1_taylor_1(A)), k4_xcmplx_0(k7_xcmplx_0(1, A))), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ) ).
fof(t42_integr12, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, D) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, D) =>  (k1_funct_1(C, E)=k7_xcmplx_0(k1_funct_1(k16_sin_cos, E), k3_prepower(k1_funct_1(k18_sin_cos, E), k1_nat_1(A, 1))) &  ~ (k1_funct_1(k18_sin_cos, E)=k5_numbers) ) ) ) )  &  (r1_tarski(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k18_sin_cos), k1_taylor_1(A)))) &  (D=k1_relset_1(k1_numbers, C) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, B))) ) ) )  =>  (r1_xxreal_0(A, k5_numbers) | k2_integra5(B, C)=k6_xcmplx_0(k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k18_sin_cos), k1_taylor_1(A)), k7_xcmplx_0(1, A)), k2_seq_4(B)), k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k18_sin_cos), k1_taylor_1(A)), k7_xcmplx_0(1, A)), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ) ).
fof(t43_integr12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v3_rcomp_1(F) & m1_subset_1(F, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, F) &  (r2_relset_1(k1_numbers, k1_numbers, B, k3_rfunct_1(k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, D, E)), C)) &  (r2_relset_1(k1_numbers, k1_numbers, C, k2_sin_cos9) &  (r1_tarski(F, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (r2_relset_1(k1_numbers, k1_numbers, E, k1_taylor_1(2)) &  ( (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, F) =>  (k1_funct_1(B, G)=k7_xcmplx_0(1, k3_xcmplx_0(k2_xcmplx_0(1, k1_square_1(G)), k1_funct_1(k2_sin_cos9, G))) &  (k1_funct_1(D, G)=1 &  ~ (r1_xxreal_0(k1_funct_1(C, G), k5_numbers)) ) ) ) ) )  & F=k1_relset_1(k1_numbers, B)) ) ) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k3_taylor_1)), k2_seq_4(A)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k3_taylor_1)), k3_seq_4(A)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_integr12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, D) &  (r1_tarski(D, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, D) =>  ( ~ (r1_xxreal_0(k1_funct_1(k1_sin_cos6, E), k5_numbers))  & k1_funct_1(C, E)=1) ) ) )  &  (r1_tarski(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos6, k3_taylor_1))) &  (D=k1_relset_1(k1_numbers, B) & r2_relset_1(k1_numbers, k1_numbers, B, k6_rfunct_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, k1_taylor_1(2)), k4_taylor_1(k7_xcmplx_0(1, 2))), k1_sin_cos6)))) ) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos6, k3_taylor_1), k2_seq_4(A)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos6, k3_taylor_1), k3_seq_4(A)))) ) ) ) ) ) ) ) ) ).
fof(t45_integr12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, D) &  (r1_tarski(D, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, D) =>  (k1_funct_1(C, E)=1 &  ~ (r1_xxreal_0(k1_funct_1(k3_sin_cos6, E), k5_numbers)) ) ) ) )  &  (r1_tarski(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_sin_cos6, k3_taylor_1))) &  (D=k1_relset_1(k1_numbers, B) & r2_relset_1(k1_numbers, k1_numbers, B, k6_rfunct_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, k1_taylor_1(2)), k4_taylor_1(k7_xcmplx_0(1, 2))), k3_sin_cos6)))) ) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_sin_cos6, k3_taylor_1)), k2_seq_4(A)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_sin_cos6, k3_taylor_1)), k3_seq_4(A)))) ) ) ) ) ) ) ) ) ).
fof(t1_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  (r2_relset_1(k1_numbers, k1_numbers, B, k6_rfunct_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos))) &  (r1_tarski(C, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k3_taylor_1))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k3_taylor_1), k2_seq_4(A)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k3_taylor_1), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t2_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  (r2_relset_1(k1_numbers, k1_numbers, B, k32_valued_1(k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos)))) &  (r1_tarski(C, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k3_taylor_1))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k3_taylor_1), k2_seq_4(A)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k3_taylor_1), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t3_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  (r2_relset_1(k1_numbers, k1_numbers, B, k26_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k16_sin_cos), 2)) &  (r1_tarski(C, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos)))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos)), k2_seq_4(A)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos)), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t4_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  (r2_relset_1(k1_numbers, k1_numbers, B, k26_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k18_sin_cos), 2)) &  (r1_tarski(C, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos)))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos)), k2_seq_4(A)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos)), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t5_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, B) &  (B=k1_relset_1(k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k16_sin_cos)) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k16_sin_cos), A))) )  => k2_integra5(A, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k16_sin_cos))=k6_xcmplx_0(k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), k2_seq_4(A)), k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), k3_seq_4(A)))) ) ) ) ) ).
fof(t6_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, B) &  (B=k1_relset_1(k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k16_sin_cos)) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k16_sin_cos), A))) )  => k2_integra5(A, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k16_sin_cos))=k6_xcmplx_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), k2_seq_4(A)), k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), k3_seq_4(A)))) ) ) ) ) ).
fof(t7_integr13, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), k22_sin_cos), k4_xcmplx_0(k7_xcmplx_0(1, 2))))) =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), k22_sin_cos), k4_xcmplx_0(k7_xcmplx_0(1, 2))), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), k22_sin_cos), k4_xcmplx_0(k7_xcmplx_0(1, 2))), A), B)=k7_xcmplx_0(k1_funct_1(k16_sin_cos, B), k1_funct_1(k22_sin_cos, B))) ) ) ) ) ) ) ).
fof(t8_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  (r2_relset_1(k1_numbers, k1_numbers, B, k3_rfunct_1(k1_numbers, k1_numbers, k16_sin_cos, k22_sin_cos)) &  (r1_tarski(C, k1_relset_1(k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), k22_sin_cos), k4_xcmplx_0(k7_xcmplx_0(1, 2))))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), k22_sin_cos), k4_xcmplx_0(k7_xcmplx_0(1, 2))), k2_seq_4(A)), k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), k22_sin_cos), k4_xcmplx_0(k7_xcmplx_0(1, 2))), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t9_integr13, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), k22_sin_cos), k7_xcmplx_0(1, 2)))) =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), k22_sin_cos), k7_xcmplx_0(1, 2)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), k22_sin_cos), k7_xcmplx_0(1, 2)), A), B)=k7_xcmplx_0(k1_funct_1(k18_sin_cos, B), k1_funct_1(k22_sin_cos, B))) ) ) ) ) ) ) ).
fof(t10_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  (r2_relset_1(k1_numbers, k1_numbers, B, k3_rfunct_1(k1_numbers, k1_numbers, k18_sin_cos, k22_sin_cos)) &  (r1_tarski(C, k1_relset_1(k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), k22_sin_cos), k7_xcmplx_0(1, 2)))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), k22_sin_cos), k7_xcmplx_0(1, 2)), k2_seq_4(A)), k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), k22_sin_cos), k7_xcmplx_0(1, 2)), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t11_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  (r2_relset_1(k1_numbers, k1_numbers, B, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos))) &  (r1_tarski(C, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k16_sin_cos))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k16_sin_cos), k2_seq_4(A)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k16_sin_cos), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t12_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  (r2_relset_1(k1_numbers, k1_numbers, B, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k16_sin_cos))) &  (r1_tarski(C, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k18_sin_cos))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k18_sin_cos), k2_seq_4(A)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k18_sin_cos), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t13_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, D) &  (r2_relset_1(k1_numbers, k1_numbers, C, k1_taylor_1(2)) &  (r2_relset_1(k1_numbers, k1_numbers, B, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), C)), k3_rfunct_1(k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, D)), k41_valued_1(k1_numbers, k1_numbers, k18_sin_cos)))) &  (r1_tarski(D, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, D)), k26_sin_cos))) &  (D=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, D)), k26_sin_cos), k2_seq_4(A)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, D)), k26_sin_cos), k3_seq_4(A)))) ) ) ) ) ) ) ) ) ).
fof(t14_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, D) &  (r2_relset_1(k1_numbers, k1_numbers, B, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k18_sin_cos, k16_sin_cos), C)), k3_rfunct_1(k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, D)), k41_valued_1(k1_numbers, k1_numbers, k16_sin_cos)))) &  (r2_relset_1(k1_numbers, k1_numbers, C, k1_taylor_1(2)) &  (r1_tarski(D, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, D)), k27_sin_cos))) &  (D=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, D)), k27_sin_cos), k2_seq_4(A)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, D)), k27_sin_cos), k3_seq_4(A)))) ) ) ) ) ) ) ) ) ).
fof(t15_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  (r2_relset_1(k1_numbers, k1_numbers, B, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos), k1_partfun2(k1_numbers, C)), k3_rfunct_1(k1_numbers, k1_numbers, k3_taylor_1, k41_valued_1(k1_numbers, k1_numbers, k18_sin_cos)))) &  (r1_tarski(C, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k26_sin_cos))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k26_sin_cos), k2_seq_4(A)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k26_sin_cos), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t16_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  (r2_relset_1(k1_numbers, k1_numbers, B, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k18_sin_cos, k16_sin_cos), k1_partfun2(k1_numbers, C)), k3_rfunct_1(k1_numbers, k1_numbers, k3_taylor_1, k41_valued_1(k1_numbers, k1_numbers, k16_sin_cos)))) &  (r1_tarski(C, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k27_sin_cos))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k27_sin_cos), k2_seq_4(A)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k27_sin_cos), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t17_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  (r2_relset_1(k1_numbers, k1_numbers, B, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k26_sin_cos, k1_partfun2(k1_numbers, C)), k3_rfunct_1(k1_numbers, k1_numbers, k3_taylor_1, k41_valued_1(k1_numbers, k1_numbers, k18_sin_cos)))) &  (r1_tarski(C, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k26_sin_cos))) &  (r1_tarski(C, k1_relset_1(k1_numbers, k26_sin_cos)) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k26_sin_cos), k2_seq_4(A)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k26_sin_cos), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t18_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  (r2_relset_1(k1_numbers, k1_numbers, B, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k27_sin_cos, k1_partfun2(k1_numbers, C)), k3_rfunct_1(k1_numbers, k1_numbers, k3_taylor_1, k41_valued_1(k1_numbers, k1_numbers, k16_sin_cos)))) &  (r1_tarski(C, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k27_sin_cos))) &  (r1_tarski(C, k1_relset_1(k1_numbers, k27_sin_cos)) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k27_sin_cos), k2_seq_4(A)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k27_sin_cos), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t19_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, D) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, D) => k1_funct_1(C, E)=1) ) )  &  (r2_relset_1(k1_numbers, k1_numbers, B, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k1_sin_cos9, k1_partfun2(k1_numbers, D)), k3_rfunct_1(k1_numbers, k1_numbers, k3_taylor_1, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, k1_taylor_1(2))))) &  (r1_tarski(D, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (D=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k1_sin_cos9), k2_seq_4(A)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k1_sin_cos9), k3_seq_4(A)))) ) ) ) ) ) ) ) ) ).
fof(t20_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, D) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, D) => k1_funct_1(C, E)=1) ) )  &  (r2_relset_1(k1_numbers, k1_numbers, B, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k2_sin_cos9, k1_partfun2(k1_numbers, D)), k3_rfunct_1(k1_numbers, k1_numbers, k3_taylor_1, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, k1_taylor_1(2))))) &  (r1_tarski(D, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (D=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k2_sin_cos9), k2_seq_4(A)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k2_sin_cos9), k3_seq_4(A)))) ) ) ) ) ) ) ) ) ).
fof(t21_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  (r2_relset_1(k1_numbers, k1_numbers, B, k3_rfunct_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k22_sin_cos), k41_valued_1(k1_numbers, k1_numbers, k18_sin_cos))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k22_sin_cos), k2_seq_4(A)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k22_sin_cos), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t22_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  (r2_relset_1(k1_numbers, k1_numbers, B, k32_valued_1(k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k22_sin_cos), k41_valued_1(k1_numbers, k1_numbers, k16_sin_cos)))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k22_sin_cos), k2_seq_4(A)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k22_sin_cos), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t23_integr13, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k22_sin_cos))) =>  (r2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k22_sin_cos)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k22_sin_cos)), A), B)=k7_xcmplx_0(k1_funct_1(k22_sin_cos, k1_funct_1(k27_sin_cos, B)), k1_square_1(k1_funct_1(k16_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t24_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  (r2_relset_1(k1_numbers, k1_numbers, B, k3_rfunct_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k22_sin_cos), k41_valued_1(k1_numbers, k1_numbers, k16_sin_cos))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k22_sin_cos)), k2_seq_4(A)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k22_sin_cos)), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t25_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  (r2_relset_1(k1_numbers, k1_numbers, B, k6_rfunct_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C), k41_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k18_sin_cos))))) &  (r1_tarski(C, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k26_sin_cos))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k26_sin_cos), k2_seq_4(A)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k26_sin_cos), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t26_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  (r2_relset_1(k1_numbers, k1_numbers, B, k32_valued_1(k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C), k41_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k16_sin_cos)))))) &  (r1_tarski(C, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k27_sin_cos))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k27_sin_cos), k2_seq_4(A)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k27_sin_cos), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t27_integr13, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k27_sin_cos))) =>  (r2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k27_sin_cos)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k27_sin_cos)), A), B)=k7_xcmplx_0(1, k3_xcmplx_0(B, k1_square_1(k1_funct_1(k16_sin_cos, k1_funct_1(k3_taylor_1, B)))))) ) ) ) ) ) ) ).
fof(t28_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  (r2_relset_1(k1_numbers, k1_numbers, B, k6_rfunct_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C), k41_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k16_sin_cos))))) &  (r1_tarski(C, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k27_sin_cos))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k27_sin_cos)), k2_seq_4(A)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k27_sin_cos)), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t29_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  (r2_relset_1(k1_numbers, k1_numbers, B, k3_rfunct_1(k1_numbers, k1_numbers, k22_sin_cos, k41_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k18_sin_cos)))) &  (r1_tarski(C, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k26_sin_cos))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k26_sin_cos), k2_seq_4(A)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k26_sin_cos), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t30_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  (r2_relset_1(k1_numbers, k1_numbers, B, k32_valued_1(k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k22_sin_cos, k41_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k16_sin_cos))))) &  (r1_tarski(C, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k27_sin_cos))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k27_sin_cos), k2_seq_4(A)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k27_sin_cos), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t31_integr13, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k27_sin_cos))) =>  (r2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k27_sin_cos)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k27_sin_cos)), A), B)=k7_xcmplx_0(k1_funct_1(k22_sin_cos, B), k1_square_1(k1_funct_1(k16_sin_cos, k1_funct_1(k22_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t32_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  (r2_relset_1(k1_numbers, k1_numbers, B, k3_rfunct_1(k1_numbers, k1_numbers, k22_sin_cos, k41_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k16_sin_cos)))) &  (r1_tarski(C, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k27_sin_cos))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k27_sin_cos)), k2_seq_4(A)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k27_sin_cos)), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t33_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k4_xcmplx_0(k7_xcmplx_0(1, k3_xcmplx_0(k1_square_1(D), k1_square_1(k1_funct_1(k18_sin_cos, k7_xcmplx_0(1, D))))))) ) )  &  (r1_tarski(C, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C)), k26_sin_cos))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C)), k26_sin_cos), k2_seq_4(A)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C)), k26_sin_cos), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t34_integr13, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k26_sin_cos))) =>  (r2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k26_sin_cos)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k26_sin_cos)), A), B)=k7_xcmplx_0(1, k3_xcmplx_0(k1_square_1(B), k1_square_1(k1_funct_1(k18_sin_cos, k7_xcmplx_0(1, B)))))) ) ) ) ) ) ) ).
fof(t35_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k7_xcmplx_0(1, k3_xcmplx_0(k1_square_1(D), k1_square_1(k1_funct_1(k18_sin_cos, k7_xcmplx_0(1, D)))))) ) )  &  (r1_tarski(C, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C)), k26_sin_cos))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C)), k26_sin_cos)), k2_seq_4(A)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C)), k26_sin_cos)), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t36_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k7_xcmplx_0(1, k3_xcmplx_0(k1_square_1(D), k1_square_1(k1_funct_1(k16_sin_cos, k7_xcmplx_0(1, D)))))) ) )  &  (r1_tarski(C, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C)), k27_sin_cos))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C)), k27_sin_cos), k2_seq_4(A)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C)), k27_sin_cos), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t37_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, D) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, D) =>  (k1_funct_1(C, E)=1 &  ~ (r1_xxreal_0(k1_funct_1(k1_sin_cos9, E), k5_numbers)) ) ) ) )  &  (r2_relset_1(k1_numbers, k1_numbers, B, k6_rfunct_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, k1_taylor_1(2)), k1_sin_cos9))) &  (r1_tarski(D, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (r1_tarski(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k3_taylor_1))) &  (D=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k3_taylor_1), k2_seq_4(A)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k3_taylor_1), k3_seq_4(A)))) ) ) ) ) ) ) ) ) ).
fof(t38_integr13, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v3_rcomp_1(E) & m1_subset_1(E, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, E) &  (r2_relset_1(k1_numbers, k1_numbers, C, k26_valued_1(k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k1_taylor_1(k6_xcmplx_0(A, 1))), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, D, k1_taylor_1(2))), A)) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, E) => k1_funct_1(D, F)=1) ) )  &  (r1_tarski(E, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (r1_tarski(E, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k1_taylor_1(A)))) &  (E=k1_relset_1(k1_numbers, C) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, B))) ) ) ) ) )  => k2_integra5(B, C)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k1_taylor_1(A)), k2_seq_4(B)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k1_taylor_1(A)), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_integr13, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v3_rcomp_1(E) & m1_subset_1(E, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, E) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, E) => k1_funct_1(D, F)=1) ) )  &  (r2_relset_1(k1_numbers, k1_numbers, C, k32_valued_1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k1_taylor_1(k6_xcmplx_0(A, 1))), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, D, k1_taylor_1(2))), A))) &  (r1_tarski(E, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (r1_tarski(E, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k1_taylor_1(A)))) &  (E=k1_relset_1(k1_numbers, C) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, B))) ) ) ) ) )  => k2_integra5(B, C)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k1_taylor_1(A)), k2_seq_4(B)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k1_taylor_1(A)), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_integr13, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k1_taylor_1(A)))) & r1_tarski(B, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k1_taylor_1(A))), B) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, B) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k1_taylor_1(A))), B), C)=k7_xcmplx_0(k3_xcmplx_0(A, k3_prepower(k1_funct_1(k2_sin_cos9, C), k6_xcmplx_0(A, 1))), k2_xcmplx_0(1, k1_square_1(C)))) ) ) ) ) ) ) ) ) ).
fof(t41_integr13, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v3_rcomp_1(E) & m1_subset_1(E, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, E) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, E) => k1_funct_1(D, F)=1) ) )  &  (r2_relset_1(k1_numbers, k1_numbers, C, k26_valued_1(k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k1_taylor_1(k6_xcmplx_0(A, 1))), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, D, k1_taylor_1(2))), A)) &  (r1_tarski(E, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (r1_tarski(E, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k1_taylor_1(A)))) &  (E=k1_relset_1(k1_numbers, C) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, B))) ) ) ) ) )  => k2_integra5(B, C)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k1_taylor_1(A))), k2_seq_4(B)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k1_taylor_1(A))), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, D) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, D) => k1_funct_1(C, E)=1) ) )  &  (r2_relset_1(k1_numbers, k1_numbers, B, k3_rfunct_1(k1_numbers, k1_numbers, k1_sin_cos9, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, k1_taylor_1(2)))) &  (r1_tarski(D, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (r1_tarski(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k1_taylor_1(2)))) &  (D=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k1_taylor_1(2)), k7_xcmplx_0(1, 2)), k2_seq_4(A)), k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k1_taylor_1(2)), k7_xcmplx_0(1, 2)), k3_seq_4(A)))) ) ) ) ) ) ) ) ) ).
fof(t43_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, D) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, D) => k1_funct_1(C, E)=1) ) )  &  (r2_relset_1(k1_numbers, k1_numbers, B, k32_valued_1(k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k2_sin_cos9, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, k1_taylor_1(2))))) &  (r1_tarski(D, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (r1_tarski(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k1_taylor_1(2)))) &  (D=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k1_taylor_1(2)), k7_xcmplx_0(1, 2)), k2_seq_4(A)), k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k1_taylor_1(2)), k7_xcmplx_0(1, 2)), k3_seq_4(A)))) ) ) ) ) ) ) ) ) ).
fof(t44_integr13, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k1_taylor_1(2)))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k1_taylor_1(2)), k7_xcmplx_0(1, 2))), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k1_taylor_1(2)), k7_xcmplx_0(1, 2))), A), B)=k7_xcmplx_0(k1_funct_1(k2_sin_cos9, B), k2_xcmplx_0(1, k1_square_1(B)))) ) ) ) ) ) ) ).
fof(t45_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, D) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, D) => k1_funct_1(C, E)=1) ) )  &  (r2_relset_1(k1_numbers, k1_numbers, B, k3_rfunct_1(k1_numbers, k1_numbers, k2_sin_cos9, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, k1_taylor_1(2)))) &  (r1_tarski(D, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (r1_tarski(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k1_taylor_1(2)))) &  (D=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k1_taylor_1(2)), k7_xcmplx_0(1, 2))), k2_seq_4(A)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k1_taylor_1(2)), k7_xcmplx_0(1, 2))), k3_seq_4(A)))) ) ) ) ) ) ) ) ) ).
fof(t46_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, D) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, D) => k1_funct_1(C, E)=1) ) )  &  (r2_relset_1(k1_numbers, k1_numbers, B, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k3_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, D), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, k1_taylor_1(2))))) &  (r1_tarski(D, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (D=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, D), k1_sin_cos9), k2_seq_4(A)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, D), k1_sin_cos9), k3_seq_4(A)))) ) ) ) ) ) ) ) ) ).
fof(t47_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, D) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, D) => k1_funct_1(C, E)=1) ) )  &  (r2_relset_1(k1_numbers, k1_numbers, B, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k3_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, D), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, k1_taylor_1(2))))) &  (r1_tarski(D, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (D=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, D), k2_sin_cos9), k2_seq_4(A)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, D), k2_sin_cos9), k3_seq_4(A)))) ) ) ) ) ) ) ) ) ).
fof(t48_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, D) &  (r1_tarski(D, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (r2_relset_1(k1_numbers, k1_numbers, B, k3_rfunct_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k22_sin_cos), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, k1_taylor_1(2)))) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, D) => k1_funct_1(C, E)=1) ) )  &  (D=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k22_sin_cos), k2_seq_4(A)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_sin_cos9, k22_sin_cos), k3_seq_4(A)))) ) ) ) ) ) ) ) ) ).
fof(t49_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, D) &  (r1_tarski(D, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (r2_relset_1(k1_numbers, k1_numbers, B, k32_valued_1(k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k22_sin_cos), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, k1_taylor_1(2))))) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, D) => k1_funct_1(C, E)=1) ) )  &  (D=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k22_sin_cos), k2_seq_4(A)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k22_sin_cos), k3_seq_4(A)))) ) ) ) ) ) ) ) ) ).
fof(t50_integr13, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k22_sin_cos))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k22_sin_cos)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k22_sin_cos)), A), B)=k7_xcmplx_0(k1_funct_1(k22_sin_cos, k1_funct_1(k2_sin_cos9, B)), k2_xcmplx_0(1, k1_square_1(B)))) ) ) ) ) ) ) ).
fof(t51_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, D) &  (r1_tarski(D, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (r2_relset_1(k1_numbers, k1_numbers, B, k3_rfunct_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k22_sin_cos), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, k1_taylor_1(2)))) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, D) => k1_funct_1(C, E)=1) ) )  &  (D=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k22_sin_cos)), k2_seq_4(A)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_sin_cos9, k22_sin_cos)), k3_seq_4(A)))) ) ) ) ) ) ) ) ) ).
fof(t52_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v3_rcomp_1(E) & m1_subset_1(E, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, E) &  (r1_tarski(E, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k3_taylor_1))) &  (r2_relset_1(k1_numbers, k1_numbers, B, k3_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, E), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D))) &  (r2_relset_1(k1_numbers, k1_numbers, D, k1_taylor_1(2)) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, E) => k1_funct_1(C, F)=1) ) )  &  (E=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k3_taylor_1), k7_xcmplx_0(1, 2)), k2_seq_4(A)), k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k3_taylor_1), k7_xcmplx_0(1, 2)), k3_seq_4(A)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_integr13, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [G] :  ( (v3_rcomp_1(G) & m1_subset_1(G, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, G) &  (r1_tarski(G, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, E, F), k3_taylor_1))) &  (r2_relset_1(k1_numbers, k1_numbers, C, k3_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, G), k26_valued_1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, E, F), A))) &  ( (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, G) =>  (k1_funct_1(D, H)=k7_xcmplx_0(H, A) & k1_funct_1(E, H)=1) ) ) )  &  (r2_relset_1(k1_numbers, k1_numbers, F, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k1_taylor_1(2))) &  (G=k1_relset_1(k1_numbers, C) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, B))) ) ) ) ) )  =>  (A=k5_numbers | k2_integra5(B, C)=k6_xcmplx_0(k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, E, F), k3_taylor_1), k7_xcmplx_0(A, 2)), k2_seq_4(B)), k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, E, F), k3_taylor_1), k7_xcmplx_0(A, 2)), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_integr13, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k1_sin_cos9))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k1_sin_cos9)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k1_sin_cos9)), A), B)=k6_xcmplx_0(k7_xcmplx_0(k1_funct_1(k1_sin_cos9, B), k1_square_1(B)), k7_xcmplx_0(1, k3_xcmplx_0(B, k2_xcmplx_0(1, k1_square_1(B)))))) ) ) ) ) ) ) ).
fof(t55_integr13, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k2_sin_cos9))) & r1_tarski(A, k2_rcomp_1(k4_xcmplx_0(1), 1)))  =>  (r2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k2_sin_cos9)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k2_sin_cos9)), A), B)=k2_xcmplx_0(k7_xcmplx_0(k1_funct_1(k2_sin_cos9, B), k1_square_1(B)), k7_xcmplx_0(1, k3_xcmplx_0(B, k2_xcmplx_0(1, k1_square_1(B)))))) ) ) ) ) ) ) ).
fof(t56_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, D) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, D) => k1_funct_1(C, E)=1) ) )  &  (r2_relset_1(k1_numbers, k1_numbers, B, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k1_sin_cos9, k1_taylor_1(2)), k6_rfunct_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, D), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, k1_taylor_1(2)))))) &  (r1_tarski(D, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, D)), k1_sin_cos9))) &  (r1_tarski(D, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (D=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, D)), k1_sin_cos9)), k2_seq_4(A)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, D)), k1_sin_cos9)), k3_seq_4(A)))) ) ) ) ) ) ) ) ) ).
fof(t57_integr13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, D) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, D) => k1_funct_1(C, E)=1) ) )  &  (r2_relset_1(k1_numbers, k1_numbers, B, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k2_sin_cos9, k1_taylor_1(2)), k6_rfunct_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, D), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, k1_taylor_1(2)))))) &  (r1_tarski(D, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, D)), k2_sin_cos9))) &  (r1_tarski(D, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (D=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, D)), k2_sin_cos9)), k2_seq_4(A)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, D)), k2_sin_cos9)), k3_seq_4(A)))) ) ) ) ) ) ) ) ) ).
fof(t1_integr14, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k1_fdiff_9))) =>  (r2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k1_fdiff_9)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k1_fdiff_9)), A), B)=k7_xcmplx_0(k1_funct_1(k16_sin_cos, k7_xcmplx_0(1, B)), k3_xcmplx_0(k1_square_1(B), k1_square_1(k1_funct_1(k18_sin_cos, k7_xcmplx_0(1, B)))))) ) ) ) ) ) ) ).
fof(t2_integr14, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k2_fdiff_9))) =>  (r2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k2_fdiff_9)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k2_fdiff_9)), A), B)=k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k22_sin_cos, B), k1_funct_1(k18_sin_cos, k1_funct_1(k22_sin_cos, B))), k1_square_1(k1_funct_1(k16_sin_cos, k1_funct_1(k22_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t3_integr14, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k2_fdiff_9))) =>  (r2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k2_fdiff_9)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k2_fdiff_9)), A), B)=k7_xcmplx_0(k1_funct_1(k18_sin_cos, k1_funct_1(k3_taylor_1, B)), k3_xcmplx_0(B, k1_square_1(k1_funct_1(k16_sin_cos, k1_funct_1(k3_taylor_1, B)))))) ) ) ) ) ) ) ).
fof(t4_integr14, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k22_sin_cos))) =>  (r2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k22_sin_cos)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k22_sin_cos)), A), B)=k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k22_sin_cos, k1_funct_1(k2_fdiff_9, B)), k1_funct_1(k18_sin_cos, B)), k1_square_1(k1_funct_1(k16_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t5_integr14, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k3_taylor_1))) =>  (r2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k3_taylor_1)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k3_taylor_1)), A), B)=k1_funct_1(k27_sin_cos, B)) ) ) ) ) ) ) ).
fof(t6_integr14, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k1_taylor_1(A)))) & r1_xxreal_0(1, A))  =>  (r2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k1_taylor_1(A))), B) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, B) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k1_taylor_1(A))), B), C)=k7_xcmplx_0(k3_xcmplx_0(A, k1_funct_1(k18_sin_cos, C)), k3_prepower(k1_funct_1(k16_sin_cos, C), k2_xcmplx_0(A, 1)))) ) ) ) ) ) ) ) ) ).
fof(t7_integr14, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k1_fdiff_9))) =>  (r2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k1_fdiff_9)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k1_fdiff_9)), A), B)=k6_xcmplx_0(k7_xcmplx_0(k7_xcmplx_0(1, k1_funct_1(k18_sin_cos, B)), k1_square_1(B)), k7_xcmplx_0(k7_xcmplx_0(k1_funct_1(k16_sin_cos, B), B), k1_square_1(k1_funct_1(k18_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t8_integr14, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k2_fdiff_9))) =>  (r2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k2_fdiff_9)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), k2_fdiff_9)), A), B)=k2_xcmplx_0(k7_xcmplx_0(k7_xcmplx_0(1, k1_funct_1(k16_sin_cos, B)), k1_square_1(B)), k7_xcmplx_0(k7_xcmplx_0(k1_funct_1(k18_sin_cos, B), B), k1_square_1(k1_funct_1(k16_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t9_integr14, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k2_fdiff_9))) =>  (r2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k2_fdiff_9)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k2_fdiff_9)), A), B)=k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k18_sin_cos, B), k1_funct_1(k18_sin_cos, k1_funct_1(k16_sin_cos, B))), k1_square_1(k1_funct_1(k16_sin_cos, k1_funct_1(k16_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t10_integr14, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k1_fdiff_9))) =>  (r2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k1_fdiff_9)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k1_fdiff_9)), A), B)=k7_xcmplx_0(k7_xcmplx_0(k1_funct_1(k16_sin_cos, k1_funct_1(k27_sin_cos, B)), k1_square_1(k1_funct_1(k16_sin_cos, B))), k1_square_1(k1_funct_1(k18_sin_cos, k1_funct_1(k27_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t11_integr14, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k2_fdiff_9))) =>  (r2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k2_fdiff_9)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k2_fdiff_9)), A), B)=k7_xcmplx_0(k7_xcmplx_0(k1_funct_1(k18_sin_cos, k1_funct_1(k26_sin_cos, B)), k1_square_1(k1_funct_1(k18_sin_cos, B))), k1_square_1(k1_funct_1(k16_sin_cos, k1_funct_1(k26_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t12_integr14, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k1_fdiff_9))) =>  (r2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k1_fdiff_9)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k1_fdiff_9)), A), B)=k6_xcmplx_0(k7_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k16_sin_cos, B))), k1_funct_1(k18_sin_cos, B)), k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k27_sin_cos, B), k1_funct_1(k16_sin_cos, B)), k1_square_1(k1_funct_1(k18_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t13_integr14, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k2_fdiff_9))) =>  (r2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k2_fdiff_9)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k2_fdiff_9)), A), B)=k2_xcmplx_0(k7_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k16_sin_cos, B))), k1_funct_1(k16_sin_cos, B)), k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k27_sin_cos, B), k1_funct_1(k18_sin_cos, B)), k1_square_1(k1_funct_1(k16_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t14_integr14, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k27_sin_cos))) =>  (r2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k27_sin_cos)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k27_sin_cos)), A), B)=k2_xcmplx_0(k1_funct_1(k18_sin_cos, B), k7_xcmplx_0(k1_funct_1(k18_sin_cos, B), k1_square_1(k1_funct_1(k16_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t15_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k7_xcmplx_0(k1_funct_1(k16_sin_cos, k7_xcmplx_0(1, D)), k3_xcmplx_0(k1_square_1(D), k1_square_1(k1_funct_1(k18_sin_cos, k7_xcmplx_0(1, D)))))) ) )  &  (r1_tarski(C, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C)), k1_fdiff_9))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C)), k1_fdiff_9)), k2_seq_4(A)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C)), k1_fdiff_9)), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t16_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k7_xcmplx_0(k1_funct_1(k18_sin_cos, k7_xcmplx_0(1, D)), k3_xcmplx_0(k1_square_1(D), k1_square_1(k1_funct_1(k16_sin_cos, k7_xcmplx_0(1, D)))))) ) )  &  (r1_tarski(C, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C)), k2_fdiff_9))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C)), k2_fdiff_9), k2_seq_4(A)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C)), k2_fdiff_9), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t17_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k22_sin_cos, D), k1_funct_1(k16_sin_cos, k1_funct_1(k22_sin_cos, D))), k1_square_1(k1_funct_1(k18_sin_cos, k1_funct_1(k22_sin_cos, D))))) ) )  &  (r1_tarski(C, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k1_fdiff_9))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k1_fdiff_9), k2_seq_4(A)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k1_fdiff_9), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t18_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k22_sin_cos, D), k1_funct_1(k18_sin_cos, k1_funct_1(k22_sin_cos, D))), k1_square_1(k1_funct_1(k16_sin_cos, k1_funct_1(k22_sin_cos, D))))) ) )  &  (r1_tarski(C, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k2_fdiff_9))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k2_fdiff_9)), k2_seq_4(A)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k2_fdiff_9)), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t19_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k7_xcmplx_0(k1_funct_1(k16_sin_cos, k1_funct_1(k3_taylor_1, D)), k3_xcmplx_0(D, k1_square_1(k1_funct_1(k18_sin_cos, k1_funct_1(k3_taylor_1, D)))))) ) )  &  (r1_tarski(C, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k1_fdiff_9))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k1_fdiff_9), k2_seq_4(A)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k1_fdiff_9), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t20_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k7_xcmplx_0(k1_funct_1(k18_sin_cos, k1_funct_1(k3_taylor_1, D)), k3_xcmplx_0(D, k1_square_1(k1_funct_1(k16_sin_cos, k1_funct_1(k3_taylor_1, D)))))) ) )  &  (r1_tarski(C, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k2_fdiff_9))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k2_fdiff_9)), k2_seq_4(A)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k2_fdiff_9)), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t21_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  (r2_relset_1(k1_numbers, k1_numbers, B, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k22_sin_cos), k3_rfunct_1(k1_numbers, k1_numbers, k16_sin_cos, k41_valued_1(k1_numbers, k1_numbers, k18_sin_cos)))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k22_sin_cos), k2_seq_4(A)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k22_sin_cos), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t22_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  (r2_relset_1(k1_numbers, k1_numbers, B, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k22_sin_cos), k3_rfunct_1(k1_numbers, k1_numbers, k18_sin_cos, k41_valued_1(k1_numbers, k1_numbers, k16_sin_cos)))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k22_sin_cos)), k2_seq_4(A)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k22_sin_cos)), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t23_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, B) &  (r1_tarski(B, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k3_taylor_1))) &  (B=k1_relset_1(k1_numbers, k26_sin_cos) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k26_sin_cos, A))) ) )  => k2_integra5(A, k26_sin_cos)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k3_taylor_1), k2_seq_4(A)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k3_taylor_1), k3_seq_4(A)))) ) ) ) ) ).
fof(t24_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, B) &  (r1_tarski(B, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k3_taylor_1))) &  (B=k1_relset_1(k1_numbers, k27_sin_cos) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k27_sin_cos), A))) ) )  => k2_integra5(A, k32_valued_1(k1_numbers, k1_numbers, k27_sin_cos))=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k3_taylor_1), k2_seq_4(A)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k3_taylor_1), k3_seq_4(A)))) ) ) ) ) ).
fof(t25_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, B) &  (r1_tarski(B, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k3_taylor_1))) &  (B=k1_relset_1(k1_numbers, k27_sin_cos) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k27_sin_cos, A))) ) )  => k2_integra5(A, k27_sin_cos)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k3_taylor_1)), k2_seq_4(A)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k3_taylor_1)), k3_seq_4(A)))) ) ) ) ) ).
fof(t26_integr14, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, D) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, D) => k1_funct_1(C, E)=k7_xcmplx_0(k3_xcmplx_0(A, k1_funct_1(k16_sin_cos, E)), k3_prepower(k1_funct_1(k18_sin_cos, E), k2_xcmplx_0(A, 1)))) ) )  &  (r1_tarski(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k1_taylor_1(A)))) &  (r1_xxreal_0(1, A) &  (D=k1_relset_1(k1_numbers, C) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, B))) ) ) ) )  => k2_integra5(B, C)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k1_taylor_1(A)), k2_seq_4(B)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fdiff_9, k1_taylor_1(A)), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ).
fof(t27_integr14, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, D) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, D) => k1_funct_1(C, E)=k7_xcmplx_0(k3_xcmplx_0(A, k1_funct_1(k18_sin_cos, E)), k3_prepower(k1_funct_1(k16_sin_cos, E), k2_xcmplx_0(A, 1)))) ) )  &  (r1_tarski(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k1_taylor_1(A)))) &  (r1_xxreal_0(1, A) &  (D=k1_relset_1(k1_numbers, C) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, B))) ) ) ) )  => k2_integra5(B, C)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k1_taylor_1(A))), k2_seq_4(B)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_fdiff_9, k1_taylor_1(A))), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ).
fof(t28_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k2_xcmplx_0(k7_xcmplx_0(k1_funct_1(k22_sin_cos, D), k1_funct_1(k18_sin_cos, D)), k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k22_sin_cos, D), k1_funct_1(k16_sin_cos, D)), k1_square_1(k1_funct_1(k18_sin_cos, D))))) ) )  &  (r1_tarski(C, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k1_fdiff_9))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k1_fdiff_9), k2_seq_4(A)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k1_fdiff_9), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t29_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k6_xcmplx_0(k7_xcmplx_0(k1_funct_1(k22_sin_cos, D), k1_funct_1(k16_sin_cos, D)), k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k22_sin_cos, D), k1_funct_1(k18_sin_cos, D)), k1_square_1(k1_funct_1(k16_sin_cos, D))))) ) )  &  (r1_tarski(C, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k2_fdiff_9))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k2_fdiff_9), k2_seq_4(A)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k2_fdiff_9), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t30_integr14, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v3_rcomp_1(E) & m1_subset_1(E, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, E) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, E) => k1_funct_1(C, F)=k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(k16_sin_cos, k3_xcmplx_0(A, F)), k1_square_1(k1_funct_1(k18_sin_cos, k3_xcmplx_0(A, F)))), k1_square_1(k1_funct_1(k18_sin_cos, k3_xcmplx_0(A, F))))) ) )  &  (r1_tarski(E, k1_relset_1(k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k1_fdiff_9), k7_xcmplx_0(1, A)), k1_partfun2(k1_numbers, E)))) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, E) =>  (k1_funct_1(D, F)=k3_xcmplx_0(A, F) &  ~ (A=k5_numbers) ) ) ) )  &  (E=k1_relset_1(k1_numbers, C) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, B))) ) ) ) )  => k2_integra5(B, C)=k6_xcmplx_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k1_fdiff_9), k7_xcmplx_0(1, A)), k1_partfun2(k1_numbers, E)), k2_seq_4(B)), k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k1_fdiff_9), k7_xcmplx_0(1, A)), k1_partfun2(k1_numbers, E)), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_integr14, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v3_rcomp_1(E) & m1_subset_1(E, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, E) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, E) => k1_funct_1(C, F)=k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(k18_sin_cos, k3_xcmplx_0(A, F)), k1_square_1(k1_funct_1(k16_sin_cos, k3_xcmplx_0(A, F)))), k1_square_1(k1_funct_1(k16_sin_cos, k3_xcmplx_0(A, F))))) ) )  &  (r1_tarski(E, k1_relset_1(k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k2_fdiff_9), k4_xcmplx_0(k7_xcmplx_0(1, A))), k1_partfun2(k1_numbers, E)))) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, E) =>  (k1_funct_1(D, F)=k3_xcmplx_0(A, F) &  ~ (A=k5_numbers) ) ) ) )  &  (E=k1_relset_1(k1_numbers, C) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, B))) ) ) ) )  => k2_integra5(B, C)=k6_xcmplx_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k2_fdiff_9), k4_xcmplx_0(k7_xcmplx_0(1, A))), k1_partfun2(k1_numbers, E)), k2_seq_4(B)), k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k2_fdiff_9), k4_xcmplx_0(k7_xcmplx_0(1, A))), k1_partfun2(k1_numbers, E)), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k2_xcmplx_0(k7_xcmplx_0(k7_xcmplx_0(1, k1_funct_1(k18_sin_cos, D)), D), k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k3_taylor_1, D), k1_funct_1(k16_sin_cos, D)), k1_square_1(k1_funct_1(k18_sin_cos, D))))) ) )  &  (r1_tarski(C, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k1_fdiff_9))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k1_fdiff_9), k2_seq_4(A)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k1_fdiff_9), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t33_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k6_xcmplx_0(k7_xcmplx_0(k7_xcmplx_0(1, k1_funct_1(k16_sin_cos, D)), D), k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k3_taylor_1, D), k1_funct_1(k18_sin_cos, D)), k1_square_1(k1_funct_1(k16_sin_cos, D))))) ) )  &  (r1_tarski(C, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k2_fdiff_9))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k2_fdiff_9), k2_seq_4(A)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_taylor_1, k2_fdiff_9), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t34_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k6_xcmplx_0(k7_xcmplx_0(k7_xcmplx_0(1, k1_funct_1(k18_sin_cos, D)), k1_square_1(D)), k7_xcmplx_0(k7_xcmplx_0(k1_funct_1(k16_sin_cos, D), D), k1_square_1(k1_funct_1(k18_sin_cos, D))))) ) )  &  (r1_tarski(C, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C)), k1_fdiff_9))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C)), k1_fdiff_9)), k2_seq_4(A)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C)), k1_fdiff_9)), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t35_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k2_xcmplx_0(k7_xcmplx_0(k7_xcmplx_0(1, k1_funct_1(k16_sin_cos, D)), k1_square_1(D)), k7_xcmplx_0(k7_xcmplx_0(k1_funct_1(k18_sin_cos, D), D), k1_square_1(k1_funct_1(k16_sin_cos, D))))) ) )  &  (r1_tarski(C, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C)), k2_fdiff_9))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C)), k2_fdiff_9)), k2_seq_4(A)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C)), k2_fdiff_9)), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t36_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k18_sin_cos, D), k1_funct_1(k16_sin_cos, k1_funct_1(k16_sin_cos, D))), k1_square_1(k1_funct_1(k18_sin_cos, k1_funct_1(k16_sin_cos, D))))) ) )  &  (r1_tarski(C, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_fdiff_9))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_fdiff_9), k2_seq_4(A)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k1_fdiff_9), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t37_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k16_sin_cos, D), k1_funct_1(k16_sin_cos, k1_funct_1(k18_sin_cos, D))), k1_square_1(k1_funct_1(k18_sin_cos, k1_funct_1(k18_sin_cos, D))))) ) )  &  (r1_tarski(C, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k1_fdiff_9))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k1_fdiff_9)), k2_seq_4(A)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k1_fdiff_9)), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t38_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k18_sin_cos, D), k1_funct_1(k18_sin_cos, k1_funct_1(k16_sin_cos, D))), k1_square_1(k1_funct_1(k16_sin_cos, k1_funct_1(k16_sin_cos, D))))) ) )  &  (r1_tarski(C, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k2_fdiff_9))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k2_fdiff_9)), k2_seq_4(A)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k2_fdiff_9)), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t39_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k16_sin_cos, D), k1_funct_1(k18_sin_cos, k1_funct_1(k18_sin_cos, D))), k1_square_1(k1_funct_1(k16_sin_cos, k1_funct_1(k18_sin_cos, D))))) ) )  &  (r1_tarski(C, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k2_fdiff_9))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k2_fdiff_9), k2_seq_4(A)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k2_fdiff_9), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t40_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k7_xcmplx_0(k7_xcmplx_0(k1_funct_1(k16_sin_cos, k1_funct_1(k26_sin_cos, D)), k1_square_1(k1_funct_1(k18_sin_cos, D))), k1_square_1(k1_funct_1(k18_sin_cos, k1_funct_1(k26_sin_cos, D))))) ) )  &  (r1_tarski(C, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_fdiff_9))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_fdiff_9), k2_seq_4(A)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_fdiff_9), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t41_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k7_xcmplx_0(k7_xcmplx_0(k1_funct_1(k16_sin_cos, k1_funct_1(k27_sin_cos, D)), k1_square_1(k1_funct_1(k16_sin_cos, D))), k1_square_1(k1_funct_1(k18_sin_cos, k1_funct_1(k27_sin_cos, D))))) ) )  &  (r1_tarski(C, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k1_fdiff_9))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k1_fdiff_9)), k2_seq_4(A)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k1_fdiff_9)), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t42_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k7_xcmplx_0(k7_xcmplx_0(k1_funct_1(k18_sin_cos, k1_funct_1(k26_sin_cos, D)), k1_square_1(k1_funct_1(k18_sin_cos, D))), k1_square_1(k1_funct_1(k16_sin_cos, k1_funct_1(k26_sin_cos, D))))) ) )  &  (r1_tarski(C, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k2_fdiff_9))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k2_fdiff_9)), k2_seq_4(A)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k2_fdiff_9)), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t43_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k7_xcmplx_0(k7_xcmplx_0(k1_funct_1(k18_sin_cos, k1_funct_1(k27_sin_cos, D)), k1_square_1(k1_funct_1(k16_sin_cos, D))), k1_square_1(k1_funct_1(k16_sin_cos, k1_funct_1(k27_sin_cos, D))))) ) )  &  (r1_tarski(C, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k2_fdiff_9))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k2_fdiff_9), k2_seq_4(A)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k2_fdiff_9), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t44_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k2_xcmplx_0(k7_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k18_sin_cos, D))), k1_funct_1(k18_sin_cos, D)), k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k26_sin_cos, D), k1_funct_1(k16_sin_cos, D)), k1_square_1(k1_funct_1(k18_sin_cos, D))))) ) )  &  (r1_tarski(C, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_fdiff_9))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_fdiff_9), k2_seq_4(A)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k1_fdiff_9), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t45_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k6_xcmplx_0(k7_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k16_sin_cos, D))), k1_funct_1(k18_sin_cos, D)), k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k27_sin_cos, D), k1_funct_1(k16_sin_cos, D)), k1_square_1(k1_funct_1(k18_sin_cos, D))))) ) )  &  (r1_tarski(C, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k1_fdiff_9))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k1_fdiff_9)), k2_seq_4(A)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k1_fdiff_9)), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t46_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k6_xcmplx_0(k7_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k18_sin_cos, D))), k1_funct_1(k16_sin_cos, D)), k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k26_sin_cos, D), k1_funct_1(k18_sin_cos, D)), k1_square_1(k1_funct_1(k16_sin_cos, D))))) ) )  &  (r1_tarski(C, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k2_fdiff_9))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k2_fdiff_9), k2_seq_4(A)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k2_fdiff_9), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t47_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k2_xcmplx_0(k7_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k16_sin_cos, D))), k1_funct_1(k16_sin_cos, D)), k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k27_sin_cos, D), k1_funct_1(k18_sin_cos, D)), k1_square_1(k1_funct_1(k16_sin_cos, D))))) ) )  &  (r1_tarski(C, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k2_fdiff_9))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k2_fdiff_9)), k2_seq_4(A)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k2_fdiff_9)), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t48_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k3_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k18_sin_cos, k1_funct_1(k27_sin_cos, D)))), k7_xcmplx_0(1, k1_square_1(k1_funct_1(k16_sin_cos, D))))) ) )  &  (r1_tarski(C, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k26_sin_cos))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k26_sin_cos)), k2_seq_4(A)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k26_sin_cos)), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t49_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k3_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k18_sin_cos, k1_funct_1(k26_sin_cos, D)))), k7_xcmplx_0(1, k1_square_1(k1_funct_1(k18_sin_cos, D))))) ) )  &  (r1_tarski(C, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k26_sin_cos))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k26_sin_cos), k2_seq_4(A)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k26_sin_cos), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t50_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k3_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k16_sin_cos, k1_funct_1(k27_sin_cos, D)))), k7_xcmplx_0(1, k1_square_1(k1_funct_1(k16_sin_cos, D))))) ) )  &  (r1_tarski(C, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k27_sin_cos))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k27_sin_cos), k2_seq_4(A)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k27_sin_cos, k27_sin_cos), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t51_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k3_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k16_sin_cos, k1_funct_1(k26_sin_cos, D)))), k7_xcmplx_0(1, k1_square_1(k1_funct_1(k18_sin_cos, D))))) ) )  &  (r1_tarski(C, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos)), k2_seq_4(A)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos)), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t52_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k2_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k18_sin_cos, D))), k7_xcmplx_0(1, k1_square_1(k1_funct_1(k16_sin_cos, D))))) ) )  &  (r1_tarski(C, k1_relset_1(k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos), k2_seq_4(A)), k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t53_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k6_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k18_sin_cos, D))), k7_xcmplx_0(1, k1_square_1(k1_funct_1(k16_sin_cos, D))))) ) )  &  (r1_tarski(C, k1_relset_1(k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos), k2_seq_4(A)), k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_sin_cos, k27_sin_cos), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t54_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k3_xcmplx_0(k1_funct_1(k18_sin_cos, k1_funct_1(k16_sin_cos, D)), k1_funct_1(k18_sin_cos, D))) ) )  &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k16_sin_cos), k2_seq_4(A)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k16_sin_cos), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t55_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k3_xcmplx_0(k1_funct_1(k18_sin_cos, k1_funct_1(k18_sin_cos, D)), k1_funct_1(k16_sin_cos, D))) ) )  &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k16_sin_cos)), k2_seq_4(A)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k16_sin_cos)), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t56_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k3_xcmplx_0(k1_funct_1(k16_sin_cos, k1_funct_1(k16_sin_cos, D)), k1_funct_1(k18_sin_cos, D))) ) )  &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos)), k2_seq_4(A)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos)), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t57_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k3_xcmplx_0(k1_funct_1(k16_sin_cos, k1_funct_1(k18_sin_cos, D)), k1_funct_1(k16_sin_cos, D))) ) )  &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k18_sin_cos), k2_seq_4(A)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k18_sin_cos), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t58_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k2_xcmplx_0(k1_funct_1(k18_sin_cos, D), k7_xcmplx_0(k1_funct_1(k18_sin_cos, D), k1_square_1(k1_funct_1(k16_sin_cos, D))))) ) )  &  (r1_tarski(C, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k27_sin_cos))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k27_sin_cos)), k2_seq_4(A)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k27_sin_cos)), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t59_integr14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k2_xcmplx_0(k1_funct_1(k16_sin_cos, D), k7_xcmplx_0(k1_funct_1(k16_sin_cos, D), k1_square_1(k1_funct_1(k18_sin_cos, D))))) ) )  &  (r1_tarski(C, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k26_sin_cos))) &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k26_sin_cos), k2_seq_4(A)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k26_sin_cos), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(d1_integr15, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  (m1_integra1(C, A) =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  (m1_integr15(D, A, B, C) <=>  (k3_finseq_1(D)=k3_finseq_1(C) &  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_tarski(E, k4_finseq_1(C)) &  (! [F] :  (m1_subset_1(F, k1_numbers) =>  ~ ( (r2_tarski(F, k1_rvsum_1(k2_partfun1(A, k1_numbers, B, k2_integra1(A, C, E)))) & k1_funct_1(D, E)=k3_xcmplx_0(F, k3_integra1(k2_integra1(A, C, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_integr15, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  (m1_integra1(C, A) =>  (! [D] :  (m1_integr15(D, A, B, C) => k1_integr15(A, B, C, D)=k18_rvsum_1(D)) ) ) ) ) ) ) ) ).
fof(t1_integr15, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  (m1_integra1(C, A) =>  (! [D] :  (m1_integr15(D, A, B, C) =>  (v2_seq_2(k2_partfun1(A, k1_numbers, B, A)) => r1_xxreal_0(k7_integra1(A, B, C), k1_integr15(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t2_integr15, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  (m1_integra1(C, A) =>  (! [D] :  (m1_integr15(D, A, B, C) =>  (v1_seq_2(k2_partfun1(A, k1_numbers, B, A)) => r1_xxreal_0(k1_integr15(A, B, C, D), k6_integra1(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t3_integr15, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  (m1_integra1(C, A) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( (v2_seq_2(k2_partfun1(A, k1_numbers, B, A)) &  ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (m1_integr15(E, A, B, C) =>  ~ (r1_xxreal_0(k1_integr15(A, B, C, E), k2_xcmplx_0(k7_integra1(A, B, C), D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_integr15, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  (m1_integra1(C, A) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( (v1_seq_2(k2_partfun1(A, k1_numbers, B, A)) &  ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (m1_integr15(E, A, B, C) =>  ~ (r1_xxreal_0(k6_xcmplx_0(k6_integra1(A, B, C), D), k1_integr15(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_integr15, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_integra1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k3_finseq_2(k1_numbers)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k3_finseq_2(k1_numbers))))) )  =>  (m2_integr15(D, A, B, C) <=>  (! [E] :  (m1_subset_1(E, k4_ordinal1) => m1_integr15(k8_finseq_2(k1_numbers, k3_finseq_2(k1_numbers), D, E), A, B, k2_integra2(A, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_integr15, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_integra1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  =>  (! [D] :  (m2_integr15(D, A, B, C) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (E=k3_integr15(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, k4_ordinal1) => k3_funct_2(k4_ordinal1, k1_numbers, E, F)=k1_integr15(A, B, k2_integra2(A, C, F), k2_integr15(A, B, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_integr15, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_integra1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  =>  (! [D] :  (m2_integr15(D, A, B, C) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (v2_seq_2(k2_partfun1(A, k1_numbers, B, A)) => r1_xxreal_0(k3_funct_2(k4_ordinal1, k1_numbers, k4_integra2(A, B, C), E), k3_funct_2(k4_ordinal1, k1_numbers, k3_integr15(A, B, C, D), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_integr15, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_integra1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  =>  (! [D] :  (m2_integr15(D, A, B, C) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (v1_seq_2(k2_partfun1(A, k1_numbers, B, A)) => r1_xxreal_0(k3_funct_2(k4_ordinal1, k1_numbers, k3_integr15(A, B, C, D), E), k3_funct_2(k4_ordinal1, k1_numbers, k3_integra2(A, B, C), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_integr15, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_integra1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  =>  (! [D] :  (m1_subset_1(D, k1_numbers) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (v2_seq_2(k2_partfun1(A, k1_numbers, B, A)) &  (! [E] :  (m2_integr15(E, A, B, C) =>  ~ ( (! [F] :  (m1_subset_1(F, k4_ordinal1) => r1_xxreal_0(k3_funct_2(k4_ordinal1, k1_numbers, k3_integr15(A, B, C, E), F), k3_real_1(k3_funct_2(k4_ordinal1, k1_numbers, k4_integra2(A, B, C), F), D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_integr15, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_integra1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  =>  (! [D] :  (m1_subset_1(D, k1_numbers) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (v1_seq_2(k2_partfun1(A, k1_numbers, B, A)) &  (! [E] :  (m2_integr15(E, A, B, C) =>  ~ ( (! [F] :  (m1_subset_1(F, k4_ordinal1) => r1_xxreal_0(k5_real_1(k3_funct_2(k4_ordinal1, k1_numbers, k3_integra2(A, B, C), F), D), k3_funct_2(k4_ordinal1, k1_numbers, k3_integr15(A, B, C, E), F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_integr15, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_integra1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  =>  (! [D] :  (m2_integr15(D, A, B, C) =>  ( (v1_comseq_2(B) &  (v3_integra1(B, A) &  (v2_comseq_2(k2_integra3(A, C)) & k1_seq_2(k2_integra3(A, C))=k5_numbers) ) )  =>  (v2_comseq_2(k3_integr15(A, B, C, D)) & k1_seq_2(k3_integr15(A, B, C, D))=k12_integra1(A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t10_integr15, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_comseq_2(B) =>  (v3_integra1(B, A) <=>  (? [C] :  (v1_xreal_0(C) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_integra1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  =>  (! [E] :  (m2_integr15(E, A, B, D) =>  ( (v2_comseq_2(k2_integra3(A, D)) & k1_seq_2(k2_integra3(A, D))=k5_numbers)  =>  (v2_comseq_2(k3_integr15(A, B, D, E)) & k1_seq_2(k3_integr15(A, B, D, E))=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_integr15, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A))))) )  =>  (! [D] :  (m1_integra1(D, B) =>  (! [E] :  (m2_finseq_1(E, k1_euclid(A)) =>  (m3_integr15(E, A, B, C, D) <=>  (k3_finseq_1(E)=k3_finseq_1(D) &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r2_tarski(F, k4_finseq_1(D)) &  (! [G] :  (m2_finseq_2(G, k1_numbers, k1_euclid(A)) =>  ~ ( (r2_tarski(G, k2_relset_1(k1_euclid(A), k2_partfun1(B, k1_euclid(A), C, k2_integra1(B, D, F)))) & k1_funct_1(E, F)=k9_euclid(A, G, k3_integra1(k2_integra1(B, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_integr15, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A))))) )  =>  (! [D] :  (m1_integra1(D, B) =>  (! [E] :  (m3_integr15(E, A, B, C, D) =>  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(A)) =>  (F=k4_integr15(A, B, C, D, E) <=>  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  ~ ( (r2_tarski(G, k2_finseq_1(A)) &  (! [H] :  (m2_finseq_1(H, k1_numbers) =>  ~ ( (H=k4_finseqop(k1_euclid(A), k1_numbers, E, k1_pdiff_1(G, A)) & k1_funct_1(F, G)=k18_rvsum_1(H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_integr15, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_integra1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k3_finseq_2(k1_euclid(A))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k3_finseq_2(k1_euclid(A)))))) )  =>  (m4_integr15(E, A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, k4_ordinal1) => m3_integr15(k8_finseq_2(k1_euclid(A), k3_finseq_2(k1_euclid(A)), E, F), A, B, C, k2_integra2(B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_integr15, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_integra1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(B))))) )  =>  (! [E] :  (m4_integr15(E, A, B, C, D) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, u1_struct_0(k4_real_ns1(A))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k4_real_ns1(A)))))) )  =>  (F=k6_integr15(A, B, C, D, E) <=>  (! [G] :  (m1_subset_1(G, k4_ordinal1) => k1_normsp_0(k4_real_ns1(A), F, G)=k4_integr15(A, B, C, k2_integra2(B, D, G), k5_integr15(A, B, C, D, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_integr15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A)))))  => k7_integr15(A, B, C, D)=k74_valued_2(B, B, k1_euclid(A), k1_euclid(A), C, D)) ) ) ) ) ) ) ).
fof(d10_integr15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A)))))  => k8_integr15(A, B, C, D)=k80_valued_2(B, B, k1_euclid(A), k1_euclid(A), C, D)) ) ) ) ) ) ) ).
fof(d11_integr15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k1_euclid(A)))))  => k9_integr15(A, B, C, D)=k43_valued_2(C, k1_euclid(A), D, B)) ) ) ) ) ) ) ).
fof(d12_integr15, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A))))) )  =>  (v1_integr15(C, A, B) <=>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r2_tarski(D, k2_finseq_1(A)) => v1_comseq_2(k1_partfun1(B, k1_euclid(A), k1_euclid(A), k1_numbers, C, k1_pdiff_1(D, A)))) ) ) ) ) ) ) ) ) ) ).
fof(d13_integr15, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A))))) )  =>  (v2_integr15(C, A, B) <=>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r2_tarski(D, k2_finseq_1(A)) => v3_integra1(k1_partfun1(B, k1_euclid(A), k1_euclid(A), k1_numbers, C, k1_pdiff_1(D, A)), B)) ) ) ) ) ) ) ) ) ) ).
fof(d14_integr15, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A))))) )  =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (D=k10_integr15(A, B, C) <=>  (k4_finseq_1(D)=k2_finseq_1(A) &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r2_tarski(E, k2_finseq_1(A)) => k1_funct_1(D, E)=k12_integra1(B, k1_partfun1(B, k1_euclid(A), k1_euclid(A), k1_numbers, C, k1_pdiff_1(E, A)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_integr15, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_integra1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(B))))) )  =>  (! [E] :  (m4_integr15(E, A, B, C, D) =>  ( (v1_integr15(C, A, B) &  (v2_integr15(C, A, B) &  (v2_comseq_2(k2_integra3(B, D)) & k1_seq_2(k2_integra3(B, D))=k5_numbers) ) )  =>  (v3_normsp_1(k6_integr15(A, B, C, D, E), k4_real_ns1(A)) & k5_normsp_1(k4_real_ns1(A), k6_integr15(A, B, C, D, E))=k10_integr15(A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_integr15, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A))))) )  =>  (v1_integr15(C, A, B) =>  (v2_integr15(C, A, B) <=>  (? [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_integra1(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(B))))) )  =>  (! [F] :  (m4_integr15(F, A, B, C, E) =>  ( (v2_comseq_2(k2_integra3(B, E)) & k1_seq_2(k2_integra3(B, E))=k5_numbers)  =>  (v3_normsp_1(k6_integr15(A, B, C, E, F), k4_real_ns1(A)) & k5_normsp_1(k4_real_ns1(A), k6_integr15(A, B, C, E, F))=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_integr15, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (v3_integr15(B, A) <=>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r2_tarski(C, k2_finseq_1(A)) => v1_comseq_2(k1_partfun1(k1_numbers, k1_euclid(A), k1_euclid(A), k1_numbers, B, k1_pdiff_1(C, A)))) ) ) ) ) ) ) ) ).
fof(d16_integr15, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (r1_integr15(A, B, C) <=>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r2_tarski(D, k2_finseq_1(A)) => r1_integra5(B, k1_partfun1(k1_numbers, k1_euclid(A), k1_euclid(A), k1_numbers, C, k1_pdiff_1(D, A)))) ) ) ) ) ) ) ) ) ) ).
fof(d17_integr15, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (D=k11_integr15(A, B, C) <=>  (k4_finseq_1(D)=k2_finseq_1(A) &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r2_tarski(E, k2_finseq_1(A)) => k1_funct_1(D, E)=k2_integra5(B, k1_partfun1(k1_numbers, k1_euclid(A), k1_euclid(A), k1_numbers, C, k1_pdiff_1(E, A)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_integr15, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k1_euclid(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A))))) )  =>  (k2_partfun1(k1_numbers, k1_euclid(A), C, B)=D =>  (r1_integr15(A, B, C) <=> v2_integr15(D, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t14_integr15, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k1_euclid(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A))))) )  =>  (k2_partfun1(k1_numbers, k1_euclid(A), C, B)=D => k11_integr15(A, B, C)=k10_integr15(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d18_integr15, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(C)))))  =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(C)) =>  (E=k12_integr15(A, B, C, D) <=>  (k4_finseq_1(E)=k2_finseq_1(C) &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r2_tarski(F, k2_finseq_1(C)) => k1_funct_1(E, F)=k4_integra5(A, B, k1_partfun1(k1_numbers, k1_euclid(C), k1_euclid(C), k1_numbers, D, k1_pdiff_1(F, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_integr15, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_euclid(B)))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_euclid(B)))))  =>  (r2_relset_1(A, k1_numbers, k1_partfun1(A, k1_euclid(B), k1_euclid(B), k1_numbers, k7_integr15(B, A, D, E), k1_pdiff_1(C, B)), k3_valued_1(A, k1_numbers, k1_numbers, k1_partfun1(A, k1_euclid(B), k1_euclid(B), k1_numbers, D, k1_pdiff_1(C, B)), k1_partfun1(A, k1_euclid(B), k1_euclid(B), k1_numbers, E, k1_pdiff_1(C, B)))) & r2_relset_1(A, k1_numbers, k1_partfun1(A, k1_euclid(B), k1_euclid(B), k1_numbers, k8_integr15(B, A, D, E), k1_pdiff_1(C, B)), k47_valued_1(A, k1_numbers, k1_numbers, k1_partfun1(A, k1_euclid(B), k1_euclid(B), k1_numbers, D, k1_pdiff_1(C, B)), k1_partfun1(A, k1_euclid(B), k1_euclid(B), k1_numbers, E, k1_pdiff_1(C, B))))) ) ) ) ) ) ) ) ) ) ).
fof(t16_integr15, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_euclid(B)))))  => r2_relset_1(A, k1_numbers, k1_partfun1(A, k1_euclid(B), k1_euclid(B), k1_numbers, k9_integr15(B, D, A, E), k1_pdiff_1(C, B)), k26_valued_1(A, k1_numbers, k1_partfun1(A, k1_euclid(B), k1_euclid(B), k1_numbers, E, k1_pdiff_1(C, B)), D))) ) ) ) ) ) ) ) ) ).
fof(t17_integr15, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  ( (r1_integr15(A, B, C) &  (r1_integr15(A, B, D) &  (r1_tarski(B, k1_relset_1(k1_numbers, C)) &  (r1_tarski(B, k1_relset_1(k1_numbers, D)) &  (v3_integr15(k2_partfun1(k1_numbers, k1_euclid(A), C, B), A) & v3_integr15(k2_partfun1(k1_numbers, k1_euclid(A), D, B), A)) ) ) ) )  =>  (r1_integr15(A, B, k7_integr15(A, k1_numbers, C, D)) &  (r1_integr15(A, B, k8_integr15(A, k1_numbers, C, D)) &  (k11_integr15(A, B, k7_integr15(A, k1_numbers, C, D))=k7_euclid(A, k11_integr15(A, B, C), k11_integr15(A, B, D)) & k11_integr15(A, B, k8_integr15(A, k1_numbers, C, D))=k8_euclid(A, k11_integr15(A, B, C), k11_integr15(A, B, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_integr15, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  ( (r1_tarski(C, k1_relset_1(k1_numbers, D)) &  (r1_integr15(A, C, D) & v3_integr15(k2_partfun1(k1_numbers, k1_euclid(A), D, C), A)) )  =>  (r1_integr15(A, C, k9_integr15(A, B, k1_numbers, D)) & k11_integr15(A, C, k9_integr15(A, B, k1_numbers, D))=k9_euclid(A, k11_integr15(A, C, D), B)) ) ) ) ) ) ) ) ) ) ).
fof(t19_integr15, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (C=k1_rcomp_1(D, E) => k11_integr15(A, C, B)=k12_integr15(D, E, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_integr15, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (C=k1_rcomp_1(E, D) => k6_euclid(A, k11_integr15(A, C, B))=k12_integr15(D, E, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_integr15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A)))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A)))))  =>  (r2_tarski(C, k1_relset_1(B, k7_integr15(A, B, D, E))) => k7_partfun1(k1_euclid(A), k7_integr15(A, B, D, E), C)=k7_euclid(A, k7_partfun1(k1_euclid(A), D, C), k7_partfun1(k1_euclid(A), E, C))) ) ) ) ) ) ) ) ) ).
fof(t22_integr15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A)))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A)))))  =>  (r2_tarski(C, k1_relset_1(B, k8_integr15(A, B, D, E))) => k7_partfun1(k1_euclid(A), k8_integr15(A, B, D, E), C)=k8_euclid(A, k7_partfun1(k1_euclid(A), D, C), k7_partfun1(k1_euclid(A), E, C))) ) ) ) ) ) ) ) ) ).
fof(t23_integr15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A)))))  =>  (! [E] :  (v1_xreal_0(E) =>  (r2_tarski(C, k1_relset_1(B, k9_integr15(A, E, B, D))) => k7_partfun1(k1_euclid(A), k9_integr15(A, E, B, D), C)=k9_euclid(A, k7_partfun1(k1_euclid(A), D, C), E)) ) ) ) ) ) ) ) ) ).
fof(dt_m1_integr15, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  & m1_integra1(C, A)) )  =>  (! [D] :  (m1_integr15(D, A, B, C) => m2_finseq_1(D, k1_numbers)) ) ) ) ).
fof(existence_m1_integr15, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  & m1_integra1(C, A)) )  =>  (? [D] : m1_integr15(D, A, B, C)) ) ) ).
fof(dt_k1_integr15, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (m1_integra1(C, A) & m1_integr15(D, A, B, C)) ) )  => v1_xreal_0(k1_integr15(A, B, C, D))) ) ).
fof(dt_m2_integr15, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_integra1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) ) ) )  =>  (! [D] :  (m2_integr15(D, A, B, C) =>  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k3_finseq_2(k1_numbers)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k3_finseq_2(k1_numbers))))) ) ) ) ) ) ).
fof(existence_m2_integr15, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_integra1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) ) ) )  =>  (? [D] : m2_integr15(D, A, B, C)) ) ) ).
fof(dt_k2_integr15, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_integra1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  &  (m2_integr15(D, A, B, C) & m1_subset_1(E, k4_ordinal1)) ) ) )  => m1_integr15(k2_integr15(A, B, C, D, E), A, B, k2_integra2(A, C, E))) ) ).
fof(redefinition_k2_integr15, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_integra1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  &  (m2_integr15(D, A, B, C) & m1_subset_1(E, k4_ordinal1)) ) ) )  => k2_integr15(A, B, C, D, E)=k1_funct_1(D, E)) ) ).
fof(dt_k3_integr15, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_integra1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  & m2_integr15(D, A, B, C)) ) )  =>  (v1_funct_1(k3_integr15(A, B, C, D)) &  (v1_funct_2(k3_integr15(A, B, C, D), k4_ordinal1, k1_numbers) & m1_subset_1(k3_integr15(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_m3_integr15, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, k4_ordinal1) &  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A))))) )  & m1_integra1(D, B)) ) )  =>  (! [E] :  (m3_integr15(E, A, B, C, D) => m2_finseq_1(E, k1_euclid(A))) ) ) ) ).
fof(existence_m3_integr15, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, k4_ordinal1) &  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A))))) )  & m1_integra1(D, B)) ) )  =>  (? [E] : m3_integr15(E, A, B, C, D)) ) ) ).
fof(dt_k4_integr15, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(A, k4_ordinal1) &  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A))))) )  &  (m1_integra1(D, B) & m3_integr15(E, A, B, C, D)) ) ) )  => m2_finseq_2(k4_integr15(A, B, C, D, E), k1_numbers, k1_euclid(A))) ) ).
fof(dt_m4_integr15, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, k4_ordinal1) &  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A))))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_integra1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(B))))) ) ) ) )  =>  (! [E] :  (m4_integr15(E, A, B, C, D) =>  (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k3_finseq_2(k1_euclid(A))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k3_finseq_2(k1_euclid(A)))))) ) ) ) ) ) ).
fof(existence_m4_integr15, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, k4_ordinal1) &  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A))))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_integra1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(B))))) ) ) ) )  =>  (? [E] : m4_integr15(E, A, B, C, D)) ) ) ).
fof(dt_k5_integr15, axiom,  (! [A, B, C, D, E, F] :  ( (m1_subset_1(A, k4_ordinal1) &  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A))))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_integra1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(B))))) )  &  (m4_integr15(E, A, B, C, D) & m1_subset_1(F, k4_ordinal1)) ) ) ) )  => m3_integr15(k5_integr15(A, B, C, D, E, F), A, B, C, k2_integra2(B, D, F))) ) ).
fof(redefinition_k5_integr15, axiom,  (! [A, B, C, D, E, F] :  ( (m1_subset_1(A, k4_ordinal1) &  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A))))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_integra1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(B))))) )  &  (m4_integr15(E, A, B, C, D) & m1_subset_1(F, k4_ordinal1)) ) ) ) )  => k5_integr15(A, B, C, D, E, F)=k1_funct_1(E, F)) ) ).
fof(dt_k6_integr15, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(A, k4_ordinal1) &  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A))))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_integra1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(B))))) )  & m4_integr15(E, A, B, C, D)) ) ) )  =>  (v1_funct_1(k6_integr15(A, B, C, D, E)) &  (v1_funct_2(k6_integr15(A, B, C, D, E), k4_ordinal1, u1_struct_0(k4_real_ns1(A))) & m1_subset_1(k6_integr15(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k4_real_ns1(A)))))) ) ) ) ).
fof(dt_k7_integr15, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A)))))  &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A))))) ) )  =>  (v1_funct_1(k7_integr15(A, B, C, D)) & m1_subset_1(k7_integr15(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A))))) ) ) ).
fof(dt_k8_integr15, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A)))))  &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A))))) ) )  =>  (v1_funct_1(k8_integr15(A, B, C, D)) & m1_subset_1(k8_integr15(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A))))) ) ) ).
fof(dt_k9_integr15, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v1_xreal_0(B) &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k1_euclid(A))))) ) )  =>  (v1_funct_1(k9_integr15(A, B, C, D)) & m1_subset_1(k9_integr15(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(C, k1_euclid(A))))) ) ) ).
fof(dt_k10_integr15, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k4_ordinal1) &  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k1_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A))))) ) ) )  => m2_finseq_2(k10_integr15(A, B, C), k1_numbers, k1_euclid(A))) ) ).
fof(dt_k11_integr15, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k4_ordinal1) &  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A))))) ) )  => m2_finseq_2(k11_integr15(A, B, C), k1_numbers, k1_euclid(A))) ) ).
fof(dt_k12_integr15, axiom,  (! [A, B, C, D] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (m1_subset_1(C, k4_ordinal1) &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(C))))) ) ) )  => m2_finseq_2(k12_integr15(A, B, C, D), k1_numbers, k1_euclid(C))) ) ).
fof(fc1_integr16, axiom,  (! [A] :  (m1_finseq_1(A, k2_numbers) =>  (v1_relat_1(k3_comseq_3(A)) &  (v1_funct_1(k3_comseq_3(A)) & v1_finseq_1(k3_comseq_3(A))) ) ) ) ).
fof(fc2_integr16, axiom,  (! [A] :  (m1_finseq_1(A, k2_numbers) =>  (v1_relat_1(k4_comseq_3(A)) &  (v1_funct_1(k4_comseq_3(A)) & v1_finseq_1(k4_comseq_3(A))) ) ) ) ).
fof(fc3_integr16, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  (v1_funct_1(B) &  (v1_funct_2(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) ) )  =>  (v1_funct_1(k3_comseq_3(B)) & v1_funct_2(k3_comseq_3(B), A, k1_numbers)) ) ) ).
fof(fc4_integr16, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  (v1_funct_1(B) &  (v1_funct_2(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) ) )  =>  (v1_funct_1(k4_comseq_3(B)) & v1_funct_2(k4_comseq_3(B), A, k1_numbers)) ) ) ).
fof(t1_integr16, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (k3_complex1(k3_xcmplx_0(B, A))=k3_xcmplx_0(B, k3_complex1(A)) & k4_complex1(k3_xcmplx_0(B, A))=k3_xcmplx_0(B, k4_complex1(A))) ) ) ) ) ).
fof(d1_integr16, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (! [C] :  (m1_integra1(C, A) =>  (! [D] :  (m2_finseq_1(D, k2_numbers) =>  (m1_integr16(D, A, B, C) <=>  (k3_finseq_1(D)=k3_finseq_1(C) &  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_tarski(E, k4_finseq_1(C)) &  (! [F] :  (m1_subset_1(F, k2_numbers) =>  ~ ( (r2_tarski(F, k2_relset_1(k2_numbers, k2_partfun1(A, k2_numbers, B, k2_integra1(A, C, E)))) & k1_funct_1(D, E)=k3_xcmplx_0(F, k3_integra1(k2_integra1(A, C, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_integr16, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (! [C] :  (m1_integra1(C, A) =>  (! [D] :  (m1_integr16(D, A, B, C) => k3_integr16(A, B, C, D)=k17_rvsum_1(D)) ) ) ) ) ) ) ) ).
fof(d3_integr16, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_integra1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k3_finseq_2(k2_numbers)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k3_finseq_2(k2_numbers))))) )  =>  (m2_integr16(D, A, B, C) <=>  (! [E] :  (m1_subset_1(E, k4_ordinal1) => m1_integr16(k8_finseq_2(k2_numbers, k3_finseq_2(k2_numbers), D, E), A, B, k2_integra2(A, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_integr16, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_integra1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  =>  (! [D] :  (m2_integr16(D, A, B, C) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k2_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (E=k5_integr16(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, k4_ordinal1) => k3_funct_2(k4_ordinal1, k2_numbers, E, F)=k3_integr16(A, B, k2_integra2(A, C, F), k4_integr16(A, B, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_integr16, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k2_numbers))))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) => r2_relset_1(k1_numbers, k1_numbers, k5_comseq_3(k1_numbers, k2_partfun1(k1_numbers, k2_numbers, A, B)), k2_partfun1(k1_numbers, k1_numbers, k5_comseq_3(k1_numbers, A), B))) ) ) ) ).
fof(t3_integr16, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k2_numbers))))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) => r2_relset_1(k1_numbers, k1_numbers, k6_comseq_3(k1_numbers, k2_partfun1(k1_numbers, k2_numbers, A, B)), k2_partfun1(k1_numbers, k1_numbers, k6_comseq_3(k1_numbers, A), B))) ) ) ) ).
fof(t4_integr16, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (! [C] :  (m1_integra1(C, A) =>  (! [D] :  (m1_integr16(D, A, B, C) =>  (m1_integr15(k1_integr16(D), A, k5_comseq_3(A, B), C) & m1_integr15(k2_integr16(D), A, k6_comseq_3(A, B), C)) ) ) ) ) ) ) ) ) ).
fof(t5_integr16, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m1_subset_1(B, k2_numbers) => k1_integr16(k8_finseq_1(k2_numbers, A, k12_finseq_1(k2_numbers, B)))=k8_finseq_1(k1_numbers, k1_integr16(A), k12_finseq_1(k1_numbers, k3_complex1(B)))) ) ) ) ).
fof(t6_integr16, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m1_subset_1(B, k2_numbers) => k2_integr16(k8_finseq_1(k2_numbers, A, k12_finseq_1(k2_numbers, B)))=k8_finseq_1(k1_numbers, k2_integr16(A), k12_finseq_1(k1_numbers, k4_complex1(B)))) ) ) ) ).
fof(t7_integr16, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (B=k1_integr16(A) => k18_rvsum_1(B)=k3_complex1(k17_rvsum_1(A))) ) ) ) ) ).
fof(t8_integr16, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (B=k2_integr16(A) => k18_rvsum_1(B)=k4_complex1(k17_rvsum_1(A))) ) ) ) ) ).
fof(t9_integr16, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (! [C] :  (m1_integra1(C, A) =>  (! [D] :  (m1_integr16(D, A, B, C) =>  (! [E] :  (m1_integr15(E, A, k5_comseq_3(A, B), C) =>  (E=k1_integr16(D) => k3_complex1(k3_integr16(A, B, C, D))=k1_integr15(A, k5_comseq_3(A, B), C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_integr16, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (! [C] :  (m1_integra1(C, A) =>  (! [D] :  (m1_integr16(D, A, B, C) =>  (! [E] :  (m1_integr15(E, A, k6_comseq_3(A, B), C) =>  (E=k2_integr16(D) => k4_complex1(k3_integr16(A, B, C, D))=k1_integr15(A, k6_comseq_3(A, B), C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_integr16, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (v1_integr16(B, A) <=>  (v3_integra1(k5_comseq_3(A, B), A) & v3_integra1(k6_comseq_3(A, B), A)) ) ) ) ) ) ).
fof(t11_integr16, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k2_numbers))))  =>  (v1_comseq_2(A) <=>  (v1_comseq_2(k5_comseq_3(k1_numbers, A)) & v1_comseq_2(k6_comseq_3(k1_numbers, A))) ) ) ) ).
fof(t12_integr16, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (B=C =>  (k5_comseq_3(k1_numbers, B)=k5_comseq_3(A, C) & k6_comseq_3(k1_numbers, B)=k6_comseq_3(A, C)) ) ) ) ) ) ) ) ).
fof(t13_integr16, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (v1_comseq_2(B) <=>  (v1_comseq_2(k5_comseq_3(A, B)) & v1_comseq_2(k6_comseq_3(A, B))) ) ) ) ) ) ).
fof(d6_integr16, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  => k6_integr16(A, B)=k2_xcmplx_0(k12_integra1(A, k5_comseq_3(A, B)), k3_xcmplx_0(k12_integra1(A, k6_comseq_3(A, B)), k7_complex1))) ) ) ) ).
fof(t14_integr16, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_integra1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  =>  (! [D] :  (m2_integr16(D, A, B, C) =>  ( (v1_comseq_2(B) &  (v1_integr16(B, A) &  (v2_comseq_2(k2_integra3(A, C)) & k1_seq_2(k2_integra3(A, C))=k5_numbers) ) )  =>  (v2_comseq_2(k5_integr16(A, B, C, D)) & k3_comseq_2(k5_integr16(A, B, C, D))=k6_integr16(A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t15_integr16, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (v1_comseq_2(B) =>  (v1_integr16(B, A) <=>  (? [C] :  (m1_subset_1(C, k2_numbers) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_integra1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  =>  (! [E] :  (m2_integr16(E, A, B, D) =>  ( (v2_comseq_2(k2_integra3(A, D)) & k1_seq_2(k2_integra3(A, D))=k5_numbers)  =>  (v2_comseq_2(k5_integr16(A, B, D, E)) & k3_comseq_2(k5_integr16(A, B, D, E))=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_integr16, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k2_numbers))))  =>  (r1_integr16(A, B) <=>  (r1_integra5(A, k5_comseq_3(k1_numbers, B)) & r1_integra5(A, k6_comseq_3(k1_numbers, B))) ) ) ) ) ) ).
fof(d8_integr16, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k2_numbers))))  => k7_integr16(A, B)=k2_xcmplx_0(k2_integra5(A, k5_comseq_3(k1_numbers, B)), k3_xcmplx_0(k2_integra5(A, k6_comseq_3(k1_numbers, B)), k7_complex1))) ) ) ) ).
fof(t16_integr16, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (k2_partfun1(k1_numbers, k2_numbers, B, A)=C =>  (r1_integr16(A, B) <=> v1_integr16(C, A)) ) ) ) ) ) ) ) ).
fof(t17_integr16, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (k2_partfun1(k1_numbers, k2_numbers, B, A)=C => k7_integr16(A, B)=k6_integr16(A, C)) ) ) ) ) ) ) ).
fof(d9_integr16, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k2_numbers))))  => k8_integr16(A, B, C)=k2_xcmplx_0(k4_integra5(A, B, k5_comseq_3(k1_numbers, C)), k3_xcmplx_0(k4_integra5(A, B, k6_comseq_3(k1_numbers, C)), k7_complex1))) ) ) ) ) ) ).
fof(t18_integr16, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k2_numbers))))  =>  (r2_relset_1(k1_numbers, k1_numbers, k5_comseq_3(k1_numbers, k25_valued_1(k1_numbers, k2_numbers, B, A)), k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k5_comseq_3(k1_numbers, B), k3_complex1(A)), k26_valued_1(k1_numbers, k1_numbers, k6_comseq_3(k1_numbers, B), k4_complex1(A)))) & r2_relset_1(k1_numbers, k1_numbers, k6_comseq_3(k1_numbers, k25_valued_1(k1_numbers, k2_numbers, B, A)), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k6_comseq_3(k1_numbers, B), k3_complex1(A)), k26_valued_1(k1_numbers, k1_numbers, k5_comseq_3(k1_numbers, B), k4_complex1(A))))) ) ) ) ) ).
fof(t19_integr16, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k2_numbers))))  =>  ( (r1_integr16(A, B) &  (r1_integr16(A, C) &  (r1_tarski(A, k1_relset_1(k1_numbers, B)) &  (r1_tarski(A, k1_relset_1(k1_numbers, C)) &  (v1_comseq_2(k2_partfun1(k1_numbers, k2_numbers, B, A)) & v1_comseq_2(k2_partfun1(k1_numbers, k2_numbers, C, A))) ) ) ) )  =>  (r1_integr16(A, k2_valued_1(k1_numbers, k2_numbers, k2_numbers, B, C)) &  (r1_integr16(A, k46_valued_1(k1_numbers, k2_numbers, k2_numbers, B, C)) &  (k7_integr16(A, k2_valued_1(k1_numbers, k2_numbers, k2_numbers, B, C))=k2_xcmplx_0(k7_integr16(A, B), k7_integr16(A, C)) & k7_integr16(A, k46_valued_1(k1_numbers, k2_numbers, k2_numbers, B, C))=k6_xcmplx_0(k7_integr16(A, B), k7_integr16(A, C))) ) ) ) ) ) ) ) ) ) ).
fof(t20_integr16, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k2_numbers))))  =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, C)) &  (r1_integr16(B, C) & v1_comseq_2(k2_partfun1(k1_numbers, k2_numbers, C, B))) )  =>  (r1_integr16(B, k25_valued_1(k1_numbers, k2_numbers, C, A)) & k7_integr16(B, k25_valued_1(k1_numbers, k2_numbers, C, A))=k3_xcmplx_0(A, k7_integr16(B, C))) ) ) ) ) ) ) ) ).
fof(t21_integr16, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k2_numbers))))  =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, C)) &  (r1_integr16(B, C) & v1_comseq_2(k2_partfun1(k1_numbers, k2_numbers, C, B))) )  =>  (r1_integr16(B, k25_valued_1(k1_numbers, k2_numbers, C, A)) & k7_integr16(B, k25_valued_1(k1_numbers, k2_numbers, C, A))=k3_xcmplx_0(A, k7_integr16(B, C))) ) ) ) ) ) ) ) ).
fof(t22_integr16, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k2_numbers))))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (B=k1_rcomp_1(C, D) => k7_integr16(B, A)=k8_integr16(C, D, A)) ) ) ) ) ) ) ) ) ).
fof(t23_integr16, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k2_numbers))))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (B=k1_rcomp_1(D, C) => k4_xcmplx_0(k7_integr16(B, A))=k8_integr16(C, D, A)) ) ) ) ) ) ) ) ) ).
fof(dt_k1_integr16, axiom,  (! [A] :  (m1_finseq_1(A, k2_numbers) => m2_finseq_1(k1_integr16(A), k1_numbers)) ) ).
fof(redefinition_k1_integr16, axiom,  (! [A] :  (m1_finseq_1(A, k2_numbers) => k1_integr16(A)=k3_comseq_3(A)) ) ).
fof(dt_k2_integr16, axiom,  (! [A] :  (m1_finseq_1(A, k2_numbers) => m2_finseq_1(k2_integr16(A), k1_numbers)) ) ).
fof(redefinition_k2_integr16, axiom,  (! [A] :  (m1_finseq_1(A, k2_numbers) => k2_integr16(A)=k4_comseq_3(A)) ) ).
fof(dt_m1_integr16, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  & m1_integra1(C, A)) )  =>  (! [D] :  (m1_integr16(D, A, B, C) => m2_finseq_1(D, k2_numbers)) ) ) ) ).
fof(existence_m1_integr16, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  & m1_integra1(C, A)) )  =>  (? [D] : m1_integr16(D, A, B, C)) ) ) ).
fof(dt_k3_integr16, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  &  (m1_integra1(C, A) & m1_integr16(D, A, B, C)) ) )  => m1_subset_1(k3_integr16(A, B, C, D), k2_numbers)) ) ).
fof(dt_m2_integr16, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_integra1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) ) ) )  =>  (! [D] :  (m2_integr16(D, A, B, C) =>  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k3_finseq_2(k2_numbers)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k3_finseq_2(k2_numbers))))) ) ) ) ) ) ).
fof(existence_m2_integr16, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_integra1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) ) ) )  =>  (? [D] : m2_integr16(D, A, B, C)) ) ) ).
fof(dt_k4_integr16, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_integra1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  &  (m2_integr16(D, A, B, C) & m1_subset_1(E, k4_ordinal1)) ) ) )  => m1_integr16(k4_integr16(A, B, C, D, E), A, B, k2_integra2(A, C, E))) ) ).
fof(redefinition_k4_integr16, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_integra1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  &  (m2_integr16(D, A, B, C) & m1_subset_1(E, k4_ordinal1)) ) ) )  => k4_integr16(A, B, C, D, E)=k1_funct_1(D, E)) ) ).
fof(dt_k5_integr16, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_integra1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  & m2_integr16(D, A, B, C)) ) )  =>  (v1_funct_1(k5_integr16(A, B, C, D)) &  (v1_funct_2(k5_integr16(A, B, C, D), k4_ordinal1, k2_numbers) & m1_subset_1(k5_integr16(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) ) ) ).
fof(dt_k6_integr16, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  (v1_funct_1(B) &  (v1_funct_2(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) ) )  => m1_subset_1(k6_integr16(A, B), k2_numbers)) ) ).
fof(dt_k7_integr16, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k2_numbers)))) )  => m1_subset_1(k7_integr16(A, B), k2_numbers)) ) ).
fof(dt_k8_integr16, axiom,  (! [A, B, C] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k2_numbers)))) ) )  => m1_subset_1(k8_integr16(A, B, C), k2_numbers)) ) ).
fof(d1_integr18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (! [D] :  (m1_integra1(D, B) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(A)) =>  (m1_integr18(E, A, B, C, D) <=>  (k3_finseq_1(E)=k3_finseq_1(D) &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r2_tarski(F, k4_finseq_1(D)) &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( (r2_tarski(G, k2_relset_1(u1_struct_0(A), k2_partfun1(B, u1_struct_0(A), C, k2_integra1(B, D, F)))) & k1_funct_1(E, F)=k1_rlvect_1(A, G, k3_integra1(k2_integra1(B, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_integr18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (! [D] :  (m1_integra1(D, B) =>  (! [E] :  (m1_integr18(E, A, B, C, D) => k1_integr18(A, B, C, D, E)=k4_rlvect_1(A, E)) ) ) ) ) ) ) ) ) ) ).
fof(d3_integr18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_integra1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k3_finseq_2(u1_struct_0(A))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k3_finseq_2(u1_struct_0(A)))))) )  =>  (m2_integr18(E, A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, k4_ordinal1) => m1_integr18(k8_finseq_2(u1_struct_0(A), k3_finseq_2(u1_struct_0(A)), E, F), A, B, C, k2_integra2(B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_integr18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_integra1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(B))))) )  =>  (! [E] :  (m2_integr18(E, A, B, C, D) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (F=k3_integr18(A, B, C, D, E) <=>  (! [G] :  (v7_ordinal1(G) => k1_normsp_0(A, F, G)=k1_integr18(A, B, C, k2_integra2(B, D, G), k2_integr18(A, B, C, D, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_integr18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (v1_integr18(C, A, B) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_integra1(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(B))))) )  =>  (! [F] :  (m2_integr18(F, A, B, C, E) =>  ( (v2_comseq_2(k2_integra3(B, E)) & k1_seq_2(k2_integra3(B, E))=k5_numbers)  =>  (v3_normsp_1(k3_integr18(A, B, C, E, F), A) & k5_normsp_1(A, k3_integr18(A, B, C, E, F))=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_integr18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  ( (k3_finseq_1(B)=k3_finseq_1(C) & D=k1_binom(A, B, C))  => k4_rlvect_1(A, D)=k3_rlvect_1(A, k4_rlvect_1(A, B), k4_rlvect_1(A, C))) ) ) ) ) ) ) ) ) ).
fof(t2_integr18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  ( (k3_finseq_1(B)=k3_finseq_1(C) & r2_relset_1(k4_ordinal1, u1_struct_0(A), D, k2_vfunct_1(k4_ordinal1, A, B, C)))  => k4_rlvect_1(A, D)=k5_algstr_0(A, k4_rlvect_1(A, B), k4_rlvect_1(A, C))) ) ) ) ) ) ) ) ) ).
fof(t3_integr18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (r2_relset_1(k4_ordinal1, u1_struct_0(A), C, k4_vfunct_1(k4_ordinal1, A, B, D)) => k4_rlvect_1(A, C)=k1_rlvect_1(A, k4_rlvect_1(A, B), D)) ) ) ) ) ) ) ) ) ).
fof(d6_integr18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (v1_integr18(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (D=k4_integr18(A, B, C) <=>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_integra1(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(B))))) )  =>  (! [F] :  (m2_integr18(F, A, B, C, E) =>  ( (v2_comseq_2(k2_integra3(B, E)) & k1_seq_2(k2_integra3(B, E))=k5_numbers)  =>  (v3_normsp_1(k3_integr18(A, B, C, E, F), A) & k5_normsp_1(A, k3_integr18(A, B, C, E, F))=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_integr18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  ( (r2_relset_1(B, u1_struct_0(A), E, k4_vfunct_1(B, A, D, C)) & v1_integr18(D, A, B))  =>  (v1_integr18(E, A, B) & k4_integr18(A, B, E)=k1_rlvect_1(A, k4_integr18(A, B, D), C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_integr18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  ( (r2_relset_1(B, u1_struct_0(A), D, k5_vfunct_1(B, A, C)) & v1_integr18(C, A, B))  =>  (v1_integr18(D, A, B) & k4_integr18(A, B, D)=k4_algstr_0(A, k4_integr18(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t6_integr18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  ( (r2_relset_1(B, u1_struct_0(A), E, k6_vfunct_1(B, A, C, D)) &  (v1_integr18(C, A, B) & v1_integr18(D, A, B)) )  =>  (v1_integr18(E, A, B) & k4_integr18(A, B, E)=k3_rlvect_1(A, k4_integr18(A, B, C), k4_integr18(A, B, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_integr18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  ( (r2_relset_1(B, u1_struct_0(A), E, k2_vfunct_1(B, A, C, D)) &  (v1_integr18(C, A, B) & v1_integr18(D, A, B)) )  =>  (v1_integr18(E, A, B) & k4_integr18(A, B, E)=k5_algstr_0(A, k4_integr18(A, B, C), k4_integr18(A, B, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_integr18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (r1_integr18(A, B, C) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  &  (D=k2_partfun1(k1_numbers, u1_struct_0(A), C, B) & v1_integr18(D, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(d8_integr18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (r1_tarski(B, k1_relset_1(k1_numbers, C)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (D=k5_integr18(A, B, C) <=>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  &  (E=k2_partfun1(k1_numbers, u1_struct_0(A), C, B) & D=k4_integr18(A, B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_integr18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (k2_partfun1(k1_numbers, u1_struct_0(A), C, B)=D =>  (r1_integr18(A, B, C) <=> v1_integr18(D, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t9_integr18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, C)) & k2_partfun1(k1_numbers, u1_struct_0(A), C, B)=D)  => k5_integr18(A, B, C)=k4_integr18(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t10_integr18, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(C)))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(C)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(C)))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(C)))))  =>  ( (D=F & E=G)  => k6_vfunct_1(B, C, F, G)=k6_vfunct_1(A, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_integr18, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(C)))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(C)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(C)))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(C)))))  =>  ( (D=F & E=G)  => k2_vfunct_1(B, C, F, G)=k2_vfunct_1(A, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_integr18, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v5_rlvect_1(D) &  (v6_rlvect_1(D) &  (v7_rlvect_1(D) &  (v8_rlvect_1(D) &  (v3_normsp_0(D) &  (v4_normsp_0(D) &  (v2_normsp_1(D) & l1_normsp_1(D)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(D)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, u1_struct_0(D)))))  =>  (E=F => k4_vfunct_1(C, D, F, A)=k4_vfunct_1(B, D, E, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_integr18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  ( (r1_tarski(C, k1_relset_1(k1_numbers, D)) & r1_integr18(A, C, D))  =>  (r1_integr18(A, C, k4_vfunct_1(k1_numbers, A, D, B)) & k5_integr18(A, C, k4_vfunct_1(k1_numbers, A, D, B))=k1_rlvect_1(A, k5_integr18(A, C, D), B)) ) ) ) ) ) ) ) ) ) ).
fof(t14_integr18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  ( (r1_integr18(A, B, C) &  (r1_integr18(A, B, D) &  (r1_tarski(B, k1_relset_1(k1_numbers, C)) & r1_tarski(B, k1_relset_1(k1_numbers, D))) ) )  =>  (r1_integr18(A, B, k6_vfunct_1(k1_numbers, A, C, D)) & k5_integr18(A, B, k6_vfunct_1(k1_numbers, A, C, D))=k3_rlvect_1(A, k5_integr18(A, B, C), k5_integr18(A, B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t15_integr18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  ( (r1_integr18(A, B, C) &  (r1_integr18(A, B, D) &  (r1_tarski(B, k1_relset_1(k1_numbers, C)) & r1_tarski(B, k1_relset_1(k1_numbers, D))) ) )  =>  (r1_integr18(A, B, k2_vfunct_1(k1_numbers, A, C, D)) & k5_integr18(A, B, k2_vfunct_1(k1_numbers, A, C, D))=k5_algstr_0(A, k5_integr18(A, B, C), k5_integr18(A, B, D))) ) ) ) ) ) ) ) ) ) ).
fof(d9_integr18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(C, D) => k6_integr18(A, B, C, D)=k5_integr18(A, k3_integra5(C, D), B))  &  ( ~ (r1_xxreal_0(C, D))  => k6_integr18(A, B, C, D)=k4_algstr_0(A, k5_integr18(A, k3_integra5(D, C), B))) ) ) ) ) ) ) ) ) ) ).
fof(t16_integr18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (C=k1_rcomp_1(D, E) => k5_integr18(A, C, B)=k6_integr18(A, B, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_integr18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  ( (k3_integra1(C)=k5_numbers & r1_tarski(C, k1_relset_1(k1_numbers, B)))  =>  (r1_integr18(A, C, B) & k5_integr18(A, C, B)=k4_struct_0(A)) ) ) ) ) ) ) ) ).
fof(t18_integr18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ( (C=k1_rcomp_1(E, D) & r1_tarski(C, k1_relset_1(k1_numbers, B)))  => k4_algstr_0(A, k5_integr18(A, C, B))=k6_integr18(A, B, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_m1_integr18, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  & m1_integra1(D, B)) ) )  =>  (! [E] :  (m1_integr18(E, A, B, C, D) => m2_finseq_1(E, u1_struct_0(A))) ) ) ) ).
fof(existence_m1_integr18, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  & m1_integra1(D, B)) ) )  =>  (? [E] : m1_integr18(E, A, B, C, D)) ) ) ).
fof(dt_k1_integr18, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  &  (m1_integra1(D, B) & m1_integr18(E, A, B, C, D)) ) ) )  => m1_subset_1(k1_integr18(A, B, C, D, E), u1_struct_0(A))) ) ).
fof(dt_m2_integr18, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_integra1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(B))))) ) ) ) )  =>  (! [E] :  (m2_integr18(E, A, B, C, D) =>  (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k3_finseq_2(u1_struct_0(A))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k3_finseq_2(u1_struct_0(A)))))) ) ) ) ) ) ).
fof(existence_m2_integr18, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_integra1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(B))))) ) ) ) )  =>  (? [E] : m2_integr18(E, A, B, C, D)) ) ) ).
fof(dt_k2_integr18, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_integra1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(B))))) )  &  (m2_integr18(E, A, B, C, D) & v7_ordinal1(F)) ) ) ) )  => m1_integr18(k2_integr18(A, B, C, D, E, F), A, B, C, k2_integra2(B, D, F))) ) ).
fof(redefinition_k2_integr18, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_integra1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(B))))) )  &  (m2_integr18(E, A, B, C, D) & v7_ordinal1(F)) ) ) ) )  => k2_integr18(A, B, C, D, E, F)=k1_funct_1(E, F)) ) ).
fof(dt_k3_integr18, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_integra1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(B))))) )  & m2_integr18(E, A, B, C, D)) ) ) )  =>  (v1_funct_1(k3_integr18(A, B, C, D, E)) &  (v1_funct_2(k3_integr18(A, B, C, D, E), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k3_integr18(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(dt_k4_integr18, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) ) ) )  => m1_subset_1(k4_integr18(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k5_integr18, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) ) )  => m1_subset_1(k5_integr18(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k6_integr18, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  &  (v1_xreal_0(C) & v1_xreal_0(D)) ) )  => m1_subset_1(k6_integr18(A, B, C, D), u1_struct_0(A))) ) ).
fof(t1_integr19, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_xxreal_0(A, C) & r1_xxreal_0(C, B))  =>  (r2_hidden(C, k3_integra5(A, B)) &  (r1_tarski(k3_integra5(A, C), k3_integra5(A, B)) & r1_tarski(k3_integra5(C, B), k3_integra5(A, B))) ) ) ) ) ) ) ) ) ).
fof(t2_integr19, axiom,  (! [A] :  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ( (r1_xxreal_0(B, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, C) & r1_tarski(k3_integra5(B, C), A)) ) )  => r1_tarski(k3_integra5(D, E), A)) ) ) ) ) ) ) ) ) ) ).
fof(t3_integr19, axiom,  (! [A] :  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ( (r1_xxreal_0(B, C) &  (r2_hidden(D, k3_integra5(B, C)) &  (r2_hidden(E, k3_integra5(B, C)) & r1_tarski(k3_integra5(B, C), A)) ) )  => r1_tarski(k3_integra5(k3_xxreal_0(D, E), k4_xxreal_0(D, E)), A)) ) ) ) ) ) ) ) ) ) ).
fof(t4_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  ( (r1_xxreal_0(B, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, C) &  (r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, F)) & r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, G))) ) ) )  => r1_tarski(k3_integra5(D, E), k1_relset_1(k1_numbers, k7_integr15(A, k1_numbers, F, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  ( (r1_xxreal_0(B, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, C) &  (r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, F)) & r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, G))) ) ) )  => r1_tarski(k3_integra5(D, E), k1_relset_1(k1_numbers, k8_integr15(A, k1_numbers, F, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_integr19, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_xxreal_0(A, C) &  (r1_xxreal_0(C, D) &  (r1_xxreal_0(D, B) &  (r1_integra5(k3_integra5(A, B), F) &  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, F, k3_integra5(A, B))) & r1_tarski(k3_integra5(A, B), k1_relset_1(k1_numbers, F))) ) ) ) )  =>  (r1_integra5(k3_integra5(C, D), k26_valued_1(k1_numbers, k1_numbers, F, E)) & v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, F, E), k3_integra5(C, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_integr19, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_xxreal_0(A, C) &  (r1_xxreal_0(C, D) &  (r1_xxreal_0(D, B) &  (r1_integra5(k3_integra5(A, B), E) &  (r1_integra5(k3_integra5(A, B), F) &  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, E, k3_integra5(A, B))) &  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, F, k3_integra5(A, B))) &  (r1_tarski(k3_integra5(A, B), k1_relset_1(k1_numbers, E)) & r1_tarski(k3_integra5(A, B), k1_relset_1(k1_numbers, F))) ) ) ) ) ) ) )  =>  (r1_integra5(k3_integra5(C, D), k47_valued_1(k1_numbers, k1_numbers, k1_numbers, E, F)) & v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, E, F), k3_integra5(C, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  ( (r1_xxreal_0(B, C) &  (r1_integr15(A, k3_integra5(B, C), E) &  (v3_integr15(k2_partfun1(k1_numbers, k1_euclid(A), E, k3_integra5(B, C)), A) &  (r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, E)) & r2_hidden(D, k3_integra5(B, C))) ) ) )  =>  (r1_integr15(A, k3_integra5(B, D), E) &  (r1_integr15(A, k3_integra5(D, C), E) & k12_integr15(B, C, A, E)=k7_euclid(A, k12_integr15(B, D, A, E), k12_integr15(D, C, A, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  ( (r1_xxreal_0(B, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, C) &  (r1_integr15(A, k3_integra5(B, C), F) &  (v3_integr15(k2_partfun1(k1_numbers, k1_euclid(A), F, k3_integra5(B, C)), A) & r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, F))) ) ) ) )  =>  (r1_integr15(A, k3_integra5(D, E), F) & v3_integr15(k2_partfun1(k1_numbers, k1_euclid(A), F, k3_integra5(D, E)), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  ( (r1_xxreal_0(B, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, C) &  (r1_integr15(A, k3_integra5(B, C), F) &  (r1_integr15(A, k3_integra5(B, C), G) &  (v3_integr15(k2_partfun1(k1_numbers, k1_euclid(A), F, k3_integra5(B, C)), A) &  (v3_integr15(k2_partfun1(k1_numbers, k1_euclid(A), G, k3_integra5(B, C)), A) &  (r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, F)) & r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, G))) ) ) ) ) ) ) )  =>  (r1_integr15(A, k3_integra5(D, E), k7_integr15(A, k1_numbers, F, G)) & v3_integr15(k2_partfun1(k1_numbers, k1_euclid(A), k7_integr15(A, k1_numbers, F, G), k3_integra5(D, E)), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  ( (r1_xxreal_0(B, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, C) &  (r1_integr15(A, k3_integra5(B, C), G) &  (v3_integr15(k2_partfun1(k1_numbers, k1_euclid(A), G, k3_integra5(B, C)), A) & r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, G))) ) ) ) )  =>  (r1_integr15(A, k3_integra5(D, E), k9_integr15(A, F, k1_numbers, G)) & v3_integr15(k2_partfun1(k1_numbers, k1_euclid(A), k9_integr15(A, F, k1_numbers, G), k3_integra5(D, E)), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  ( (r1_xxreal_0(B, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, C) &  (r1_integr15(A, k3_integra5(B, C), F) &  (v3_integr15(k2_partfun1(k1_numbers, k1_euclid(A), F, k3_integra5(B, C)), A) & r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, F))) ) ) ) )  =>  (r1_integr15(A, k3_integra5(D, E), k2_nfcont_4(A, k1_numbers, F)) & v3_integr15(k2_partfun1(k1_numbers, k1_euclid(A), k2_nfcont_4(A, k1_numbers, F), k3_integra5(D, E)), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  ( (r1_xxreal_0(B, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, C) &  (r1_integr15(A, k3_integra5(B, C), F) &  (r1_integr15(A, k3_integra5(B, C), G) &  (v3_integr15(k2_partfun1(k1_numbers, k1_euclid(A), F, k3_integra5(B, C)), A) &  (v3_integr15(k2_partfun1(k1_numbers, k1_euclid(A), G, k3_integra5(B, C)), A) &  (r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, F)) & r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, G))) ) ) ) ) ) ) )  =>  (r1_integr15(A, k3_integra5(D, E), k8_integr15(A, k1_numbers, F, G)) & v3_integr15(k2_partfun1(k1_numbers, k1_euclid(A), k8_integr15(A, k1_numbers, F, G), k3_integra5(D, E)), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_integr19, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_euclid(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_euclid(B))))) )  =>  (v1_integr15(C, B, A) <=> v1_comseq_2(k1_nfcont_4(B, A, C))) ) ) ) ) ) ) ).
fof(t15_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  ( (v3_integr15(C, A) & r1_tarski(B, k1_relset_1(k1_numbers, C)))  => v3_integr15(k2_partfun1(k1_numbers, k1_euclid(A), C, B), A)) ) ) ) ) ) ) ).
fof(t16_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k1_euclid(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A))))) )  =>  ( (v3_integr15(C, A) & C=D)  => v1_integr15(D, A, B)) ) ) ) ) ) ) ) ) ).
fof(t17_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k1_euclid(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A))))) )  =>  (C=D => k1_nfcont_4(A, k1_numbers, C)=k1_nfcont_4(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t18_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (r1_tarski(B, k1_relset_1(k1_numbers, C)) => r2_relset_1(k1_numbers, k1_numbers, k1_nfcont_4(A, k1_numbers, k2_partfun1(k1_numbers, k1_euclid(A), C, B)), k2_partfun1(k1_numbers, k1_numbers, k1_nfcont_4(A, k1_numbers, C), B))) ) ) ) ) ) ) ).
fof(t19_integr19, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(B)))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, C)) & v3_integr15(k2_partfun1(k1_numbers, k1_euclid(B), C, A), B))  => v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, k1_nfcont_4(B, k1_numbers, C), A))) ) ) ) ) ) ) ).
fof(t20_integr19, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(B)))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, C)) &  (v3_integr15(k2_partfun1(k1_numbers, k1_euclid(B), C, A), B) &  (r1_integr15(B, A, C) & r1_integra5(A, k1_nfcont_4(B, k1_numbers, C))) ) )  => r1_xxreal_0(k12_euclid(k11_integr15(B, A, C)), k2_integra5(A, k1_nfcont_4(B, k1_numbers, C)))) ) ) ) ) ) ) ).
fof(t21_integr19, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & m1_subset_1(C, k4_ordinal1))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(C)))))  =>  ( (r1_xxreal_0(A, B) &  (r1_tarski(k3_integra5(A, B), k1_relset_1(k1_numbers, D)) &  (r1_integr15(C, k3_integra5(A, B), D) &  (r1_integra5(k3_integra5(A, B), k1_nfcont_4(C, k1_numbers, D)) & v3_integr15(k2_partfun1(k1_numbers, k1_euclid(C), D, k3_integra5(A, B)), C)) ) ) )  => r1_xxreal_0(k12_euclid(k12_integr15(A, B, C, D)), k4_integra5(A, B, k1_nfcont_4(C, k1_numbers, D)))) ) ) ) ) ) ) ) ) ).
fof(t22_integr19, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( ( ~ (v8_ordinal1(E))  & m1_subset_1(E, k4_ordinal1))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(E)))))  =>  ( (r1_xxreal_0(A, B) &  (r1_integr15(E, k3_integra5(A, B), F) &  (r1_integra5(k3_integra5(A, B), k1_nfcont_4(E, k1_numbers, F)) &  (v3_integr15(k2_partfun1(k1_numbers, k1_euclid(E), F, k3_integra5(A, B)), E) &  (r1_tarski(k3_integra5(A, B), k1_relset_1(k1_numbers, F)) &  (r2_hidden(C, k3_integra5(A, B)) & r2_hidden(D, k3_integra5(A, B))) ) ) ) ) )  =>  (r1_integra5(k3_integra5(k3_xxreal_0(C, D), k4_xxreal_0(C, D)), k1_nfcont_4(E, k1_numbers, F)) &  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, k1_nfcont_4(E, k1_numbers, F), k3_integra5(k3_xxreal_0(C, D), k4_xxreal_0(C, D)))) & r1_xxreal_0(k12_euclid(k12_integr15(C, D, E, F)), k4_integra5(k3_xxreal_0(C, D), k4_xxreal_0(C, D), k1_nfcont_4(E, k1_numbers, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_integr19, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( ( ~ (v8_ordinal1(E))  & m1_subset_1(E, k4_ordinal1))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(E)))))  =>  ( (r1_xxreal_0(A, B) &  (r1_xxreal_0(C, D) &  (r1_integr15(E, k3_integra5(A, B), F) &  (r1_integra5(k3_integra5(A, B), k1_nfcont_4(E, k1_numbers, F)) &  (v3_integr15(k2_partfun1(k1_numbers, k1_euclid(E), F, k3_integra5(A, B)), E) &  (r1_tarski(k3_integra5(A, B), k1_relset_1(k1_numbers, F)) &  (r2_hidden(C, k3_integra5(A, B)) & r2_hidden(D, k3_integra5(A, B))) ) ) ) ) ) )  =>  (r1_integra5(k3_integra5(C, D), k1_nfcont_4(E, k1_numbers, F)) &  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, k1_nfcont_4(E, k1_numbers, F), k3_integra5(C, D))) &  (r1_xxreal_0(k12_euclid(k12_integr15(C, D, E, F)), k4_integra5(C, D, k1_nfcont_4(E, k1_numbers, F))) & r1_xxreal_0(k12_euclid(k12_integr15(D, C, E, F)), k4_integra5(C, D, k1_nfcont_4(E, k1_numbers, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_integr19, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( ( ~ (v8_ordinal1(F))  & m1_subset_1(F, k4_ordinal1))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(F)))))  =>  ( (r1_xxreal_0(A, B) &  (r1_xxreal_0(C, D) &  (r1_integr15(F, k3_integra5(A, B), G) &  (r1_integra5(k3_integra5(A, B), k1_nfcont_4(F, k1_numbers, G)) &  (v3_integr15(k2_partfun1(k1_numbers, k1_euclid(F), G, k3_integra5(A, B)), F) &  (r1_tarski(k3_integra5(A, B), k1_relset_1(k1_numbers, G)) &  (r2_hidden(C, k3_integra5(A, B)) &  (r2_hidden(D, k3_integra5(A, B)) &  (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, k3_integra5(C, D)) => r1_xxreal_0(k12_euclid(k7_partfun1(k1_euclid(F), G, H)), E)) ) ) ) ) ) ) ) ) ) )  =>  (r1_xxreal_0(k12_euclid(k12_integr15(C, D, F, G)), k3_xcmplx_0(E, k6_xcmplx_0(D, C))) & r1_xxreal_0(k12_euclid(k12_integr15(D, C, F, G)), k3_xcmplx_0(E, k6_xcmplx_0(D, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  ( (r1_xxreal_0(B, C) &  (r1_integr15(A, k3_integra5(B, C), G) &  (v3_integr15(k2_partfun1(k1_numbers, k1_euclid(A), G, k3_integra5(B, C)), A) &  (r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, G)) &  (r2_hidden(D, k3_integra5(B, C)) & r2_hidden(E, k3_integra5(B, C))) ) ) ) )  => k12_integr15(D, E, A, k9_integr15(A, F, k1_numbers, G))=k9_euclid(A, k12_integr15(D, E, A, G), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  ( (r1_xxreal_0(B, C) &  (r1_integr15(A, k3_integra5(B, C), F) &  (v3_integr15(k2_partfun1(k1_numbers, k1_euclid(A), F, k3_integra5(B, C)), A) &  (r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, F)) &  (r2_hidden(D, k3_integra5(B, C)) & r2_hidden(E, k3_integra5(B, C))) ) ) ) )  => k12_integr15(D, E, A, k2_nfcont_4(A, k1_numbers, F))=k6_euclid(A, k12_integr15(D, E, A, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  ( (r1_xxreal_0(B, C) &  (r1_integr15(A, k3_integra5(B, C), F) &  (r1_integr15(A, k3_integra5(B, C), G) &  (v3_integr15(k2_partfun1(k1_numbers, k1_euclid(A), F, k3_integra5(B, C)), A) &  (v3_integr15(k2_partfun1(k1_numbers, k1_euclid(A), G, k3_integra5(B, C)), A) &  (r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, F)) &  (r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, G)) &  (r2_hidden(D, k3_integra5(B, C)) & r2_hidden(E, k3_integra5(B, C))) ) ) ) ) ) ) )  => k12_integr15(D, E, A, k7_integr15(A, k1_numbers, F, G))=k7_euclid(A, k12_integr15(D, E, A, F), k12_integr15(D, E, A, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  ( (r1_xxreal_0(B, C) &  (r1_integr15(A, k3_integra5(B, C), F) &  (r1_integr15(A, k3_integra5(B, C), G) &  (v3_integr15(k2_partfun1(k1_numbers, k1_euclid(A), F, k3_integra5(B, C)), A) &  (v3_integr15(k2_partfun1(k1_numbers, k1_euclid(A), G, k3_integra5(B, C)), A) &  (r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, F)) &  (r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, G)) &  (r2_hidden(D, k3_integra5(B, C)) & r2_hidden(E, k3_integra5(B, C))) ) ) ) ) ) ) )  => k12_integr15(D, E, A, k8_integr15(A, k1_numbers, F, G))=k8_euclid(A, k12_integr15(D, E, A, F), k12_integr15(D, E, A, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  ( (r1_xxreal_0(B, C) &  (r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, D)) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, k3_integra5(B, C)) => k1_funct_1(D, F)=E) ) ) ) )  =>  (r1_integr15(A, k3_integra5(B, C), D) &  (v3_integr15(k2_partfun1(k1_numbers, k1_euclid(A), D, k3_integra5(B, C)), A) & k12_integr15(B, C, A, D)=k9_euclid(A, E, k6_xcmplx_0(C, B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [G] :  (m2_finseq_2(G, k1_numbers, k1_euclid(A)) =>  ( (r1_xxreal_0(B, C) &  ( (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, k3_integra5(B, C)) => k1_funct_1(F, H)=G) ) )  &  (r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, F)) &  (r2_hidden(D, k3_integra5(B, C)) & r2_hidden(E, k3_integra5(B, C))) ) ) )  => k12_integr15(D, E, A, F)=k9_euclid(A, G, k6_xcmplx_0(E, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  ( (r1_xxreal_0(B, C) &  (r1_integr15(A, k3_integra5(B, C), F) &  (v3_integr15(k2_partfun1(k1_numbers, k1_euclid(A), F, k3_integra5(B, C)), A) &  (r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, F)) &  (r2_hidden(D, k3_integra5(B, C)) & r2_hidden(E, k3_integra5(B, C))) ) ) ) )  => k12_integr15(B, E, A, F)=k7_euclid(A, k12_integr15(B, D, A, F), k12_integr15(D, E, A, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  ( (r1_xxreal_0(B, C) &  (r1_integr15(A, k3_integra5(B, C), G) &  (v3_integr15(k2_partfun1(k1_numbers, k1_euclid(A), G, k3_integra5(B, C)), A) &  (r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, G)) &  (r2_hidden(D, k3_integra5(B, C)) &  (r2_hidden(E, k3_integra5(B, C)) &  (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, k3_integra5(k3_xxreal_0(D, E), k4_xxreal_0(D, E))) => r1_xxreal_0(k12_euclid(k7_partfun1(k1_euclid(A), G, H)), F)) ) ) ) ) ) ) ) )  => r1_xxreal_0(k12_euclid(k12_integr15(D, E, A, G)), k3_xcmplx_0(k3_xcmplx_0(A, F), k9_complex1(k6_xcmplx_0(E, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  => k12_integr15(C, B, A, D)=k6_euclid(A, k12_integr15(B, C, A, D))) ) ) ) ) ) ) ) ).
fof(d1_integr19, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A)))))  =>  (v1_integr19(C, A, B) <=>  (? [D] :  (v1_xreal_0(D) &  (! [E] :  ~ ( (r2_tarski(E, k1_relset_1(B, C)) & r1_xxreal_0(D, k2_normsp_0(A, k7_partfun1(u1_struct_0(A), C, E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  (B=C =>  (v3_integr15(B, A) <=> v1_integr19(C, k4_real_ns1(A), k1_numbers)) ) ) ) ) ) ) ) ).
fof(t35_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  ( (v1_integr19(k2_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(A)), D, B), k4_real_ns1(A), k1_numbers) & v1_integr19(k2_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(A)), E, C), k4_real_ns1(A), k1_numbers))  =>  (v1_integr19(k2_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(A)), k6_vfunct_1(k1_numbers, k4_real_ns1(A), D, E), k3_xboole_0(B, C)), k4_real_ns1(A), k1_numbers) & v1_integr19(k2_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(A)), k2_vfunct_1(k1_numbers, k4_real_ns1(A), D, E), k3_xboole_0(B, C)), k4_real_ns1(A), k1_numbers)) ) ) ) ) ) ) ) ) ) ).
fof(t36_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, u1_struct_0(k4_real_ns1(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(k4_real_ns1(A)))))) )  =>  (! [E] :  (m1_integra1(E, B) =>  (! [F] :  (m2_finseq_1(F, k1_euclid(A)) =>  (! [G] :  (m2_finseq_1(G, u1_struct_0(k4_real_ns1(A))) =>  ( (r1_funct_2(B, k1_euclid(A), B, u1_struct_0(k4_real_ns1(A)), C, D) & F=G)  =>  (m3_integr15(F, A, B, C, E) <=> m1_integr18(G, k4_real_ns1(A), B, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, u1_struct_0(k4_real_ns1(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(k4_real_ns1(A)))))) )  =>  (! [E] :  (m1_integra1(E, B) =>  (! [F] :  (m3_integr15(F, A, B, C, E) =>  (! [G] :  (m1_integr18(G, k4_real_ns1(A), B, D, E) =>  ( (r1_funct_2(B, k1_euclid(A), B, u1_struct_0(k4_real_ns1(A)), C, D) & F=G)  => k4_integr15(A, B, C, E, F)=k1_integr18(k4_real_ns1(A), B, D, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, u1_struct_0(k4_real_ns1(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(k4_real_ns1(A)))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_integra1(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(B))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k3_finseq_2(k1_euclid(A))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k3_finseq_2(k1_euclid(A)))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, k3_finseq_2(u1_struct_0(k4_real_ns1(A)))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k3_finseq_2(u1_struct_0(k4_real_ns1(A))))))) )  =>  ( (r1_funct_2(B, k1_euclid(A), B, u1_struct_0(k4_real_ns1(A)), C, D) & r1_funct_2(k4_ordinal1, k3_finseq_2(k1_euclid(A)), k4_ordinal1, k3_finseq_2(u1_struct_0(k4_real_ns1(A))), F, G))  =>  (m4_integr15(F, A, B, C, E) <=> m2_integr18(G, k4_real_ns1(A), B, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, u1_struct_0(k4_real_ns1(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(k4_real_ns1(A)))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_integra1(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(B))))) )  =>  (! [F] :  (m4_integr15(F, A, B, C, E) =>  (! [G] :  (m2_integr18(G, k4_real_ns1(A), B, D, E) =>  ( (r1_funct_2(B, k1_euclid(A), B, u1_struct_0(k4_real_ns1(A)), C, D) & r1_funct_2(k4_ordinal1, k3_finseq_2(k1_euclid(A)), k4_ordinal1, k3_finseq_2(u1_struct_0(k4_real_ns1(A))), F, G))  => r2_funct_2(k4_ordinal1, u1_struct_0(k4_real_ns1(A)), k6_integr15(A, B, C, E, F), k3_integr18(k4_real_ns1(A), B, D, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, u1_struct_0(k4_real_ns1(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(k4_real_ns1(A)))))) )  =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k4_real_ns1(A))) =>  ( (r1_funct_2(B, k1_euclid(A), B, u1_struct_0(k4_real_ns1(A)), C, D) & E=F)  =>  ( (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, k1_integra1(B)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(B))))) )  =>  (! [H] :  (m4_integr15(H, A, B, C, G) =>  ( (v2_comseq_2(k2_integra3(B, G)) & k1_seq_2(k2_integra3(B, G))=k5_numbers)  =>  (v3_normsp_1(k6_integr15(A, B, C, G, H), k4_real_ns1(A)) & k5_normsp_1(k4_real_ns1(A), k6_integr15(A, B, C, G, H))=E) ) ) ) ) )  <=>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, k1_integra1(B)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(B))))) )  =>  (! [H] :  (m2_integr18(H, k4_real_ns1(A), B, D, G) =>  ( (v2_comseq_2(k2_integra3(B, G)) & k1_seq_2(k2_integra3(B, G))=k5_numbers)  =>  (v3_normsp_1(k3_integr18(k4_real_ns1(A), B, D, G, H), k4_real_ns1(A)) & k5_normsp_1(k4_real_ns1(A), k3_integr18(k4_real_ns1(A), B, D, G, H))=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, u1_struct_0(k4_real_ns1(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(k4_real_ns1(A)))))) )  =>  ( (r1_funct_2(B, k1_euclid(A), B, u1_struct_0(k4_real_ns1(A)), C, D) & v1_integr15(C, A, B))  =>  (v2_integr15(C, A, B) <=> v1_integr18(D, k4_real_ns1(A), B)) ) ) ) ) ) ) ) ) ) ).
fof(t42_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, u1_struct_0(k4_real_ns1(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(k4_real_ns1(A)))))) )  =>  ( (r1_funct_2(B, k1_euclid(A), B, u1_struct_0(k4_real_ns1(A)), C, D) &  (v1_integr15(C, A, B) & v2_integr15(C, A, B)) )  =>  (v1_integr18(D, k4_real_ns1(A), B) & k10_integr15(A, B, C)=k4_integr18(k4_real_ns1(A), B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t43_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  ( (C=D &  (v3_integr15(k2_partfun1(k1_numbers, k1_euclid(A), C, B), A) & r1_tarski(B, k1_relset_1(k1_numbers, C))) )  =>  (r1_integr15(A, B, C) <=> r1_integr18(k4_real_ns1(A), B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t44_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  ( (C=D &  (v3_integr15(k2_partfun1(k1_numbers, k1_euclid(A), C, B), A) &  (r1_tarski(B, k1_relset_1(k1_numbers, C)) & r1_integr15(A, B, C)) ) )  =>  (r1_integr18(k4_real_ns1(A), B, D) & k11_integr15(A, B, C)=k5_integr18(k4_real_ns1(A), B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t45_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  ( (D=E &  (r1_xxreal_0(B, C) &  (v3_integr15(k2_partfun1(k1_numbers, k1_euclid(A), D, k3_integra5(B, C)), A) &  (r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, D)) & r1_integr15(A, k3_integra5(B, C), D)) ) ) )  => k12_integr15(B, C, A, D)=k6_integr18(k4_real_ns1(A), E, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  ( (r1_xxreal_0(B, C) &  (r1_integr18(k4_real_ns1(A), k3_integra5(B, C), D) &  (r1_integr18(k4_real_ns1(A), k3_integra5(B, C), E) &  (r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, D)) & r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, E))) ) ) )  =>  (k6_integr18(k4_real_ns1(A), k6_vfunct_1(k1_numbers, k4_real_ns1(A), D, E), B, C)=k3_rlvect_1(k4_real_ns1(A), k6_integr18(k4_real_ns1(A), D, B, C), k6_integr18(k4_real_ns1(A), E, B, C)) & k6_integr18(k4_real_ns1(A), k2_vfunct_1(k1_numbers, k4_real_ns1(A), D, E), B, C)=k5_algstr_0(k4_real_ns1(A), k6_integr18(k4_real_ns1(A), D, B, C), k6_integr18(k4_real_ns1(A), E, B, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  ( (r1_xxreal_0(B, C) & r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, D)))  => k6_integr18(k4_real_ns1(A), D, C, B)=k4_algstr_0(k4_real_ns1(A), k6_integr18(k4_real_ns1(A), D, B, C))) ) ) ) ) ) ) ) ) ).
fof(t48_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  ( (F=G &  (r1_xxreal_0(B, C) &  (r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, F)) &  (v1_integr19(k2_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(A)), F, k3_integra5(B, C)), k4_real_ns1(A), k1_numbers) &  (r1_integr18(k4_real_ns1(A), k3_integra5(B, C), F) &  (r2_hidden(D, k3_integra5(B, C)) & r2_hidden(E, k3_integra5(B, C))) ) ) ) ) )  => k6_integr18(k4_real_ns1(A), F, D, E)=k12_integr15(D, E, A, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  ( (r1_xxreal_0(B, C) &  (r1_integr18(k4_real_ns1(A), k3_integra5(B, C), F) &  (r1_integr18(k4_real_ns1(A), k3_integra5(B, C), G) &  (v1_integr19(k2_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(A)), F, k3_integra5(B, C)), k4_real_ns1(A), k1_numbers) &  (v1_integr19(k2_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(A)), G, k3_integra5(B, C)), k4_real_ns1(A), k1_numbers) &  (r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, F)) &  (r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, G)) &  (r2_hidden(D, k3_integra5(B, C)) & r2_hidden(E, k3_integra5(B, C))) ) ) ) ) ) ) )  => k6_integr18(k4_real_ns1(A), k6_vfunct_1(k1_numbers, k4_real_ns1(A), F, G), D, E)=k3_rlvect_1(k4_real_ns1(A), k6_integr18(k4_real_ns1(A), F, D, E), k6_integr18(k4_real_ns1(A), G, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  ( (r1_xxreal_0(B, C) &  (r1_integr18(k4_real_ns1(A), k3_integra5(B, C), F) &  (r1_integr18(k4_real_ns1(A), k3_integra5(B, C), G) &  (v1_integr19(k2_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(A)), F, k3_integra5(B, C)), k4_real_ns1(A), k1_numbers) &  (v1_integr19(k2_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(A)), G, k3_integra5(B, C)), k4_real_ns1(A), k1_numbers) &  (r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, F)) &  (r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, G)) &  (r2_hidden(D, k3_integra5(B, C)) & r2_hidden(E, k3_integra5(B, C))) ) ) ) ) ) ) )  => k6_integr18(k4_real_ns1(A), k2_vfunct_1(k1_numbers, k4_real_ns1(A), F, G), D, E)=k5_algstr_0(k4_real_ns1(A), k6_integr18(k4_real_ns1(A), F, D, E), k6_integr18(k4_real_ns1(A), G, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k4_real_ns1(A))) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  ( (r1_xxreal_0(B, C) &  (r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, E)) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, k3_integra5(B, C)) => k1_funct_1(E, F)=D) ) ) ) )  =>  (r1_integr18(k4_real_ns1(A), k3_integra5(B, C), E) &  (v1_integr19(k2_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(A)), E, k3_integra5(B, C)), k4_real_ns1(A), k1_numbers) & k6_integr18(k4_real_ns1(A), E, B, C)=k1_rlvect_1(k4_real_ns1(A), D, k6_xcmplx_0(C, B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k4_real_ns1(A))) =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  ( (r1_xxreal_0(B, C) &  (r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, G)) &  ( (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, k3_integra5(B, C)) => k1_funct_1(G, H)=F) ) )  &  (r2_hidden(D, k3_integra5(B, C)) & r2_hidden(E, k3_integra5(B, C))) ) ) )  => k6_integr18(k4_real_ns1(A), G, D, E)=k1_rlvect_1(k4_real_ns1(A), F, k6_xcmplx_0(E, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  ( (r1_xxreal_0(B, C) &  (r1_integr18(k4_real_ns1(A), k3_integra5(B, C), F) &  (v1_integr19(k2_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(A)), F, k3_integra5(B, C)), k4_real_ns1(A), k1_numbers) &  (r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, F)) &  (r2_hidden(D, k3_integra5(B, C)) & r2_hidden(E, k3_integra5(B, C))) ) ) ) )  => k6_integr18(k4_real_ns1(A), F, B, E)=k3_rlvect_1(k4_real_ns1(A), k6_integr18(k4_real_ns1(A), F, B, D), k6_integr18(k4_real_ns1(A), F, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_integr19, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  ( (r1_xxreal_0(B, C) &  (r1_integr18(k4_real_ns1(A), k3_integra5(B, C), G) &  (v1_integr19(k2_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(A)), G, k3_integra5(B, C)), k4_real_ns1(A), k1_numbers) &  (r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, G)) &  (r2_hidden(D, k3_integra5(B, C)) &  (r2_hidden(E, k3_integra5(B, C)) &  (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, k3_integra5(k3_xxreal_0(D, E), k4_xxreal_0(D, E))) => r1_xxreal_0(k2_normsp_0(k4_real_ns1(A), k7_partfun1(u1_struct_0(k4_real_ns1(A)), G, H)), F)) ) ) ) ) ) ) ) )  => r1_xxreal_0(k2_normsp_0(k4_real_ns1(A), k6_integr18(k4_real_ns1(A), G, D, E)), k3_xcmplx_0(k3_xcmplx_0(A, F), k9_complex1(k6_xcmplx_0(E, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_integr19, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( ( ~ (v8_ordinal1(D))  & m1_subset_1(D, k4_ordinal1))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(D))))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(D))))))  =>  ( (r1_xxreal_0(A, B) &  (r1_integr18(k4_real_ns1(D), k3_integra5(A, B), F) &  (v1_integr19(k2_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(D)), F, k3_integra5(A, B)), k4_real_ns1(D), k1_numbers) &  (r1_tarski(k3_integra5(A, B), k1_relset_1(k1_numbers, F)) &  (r1_tarski(k2_rcomp_1(A, B), k1_relset_1(k1_numbers, E)) &  ( (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, k2_rcomp_1(A, B)) => k1_funct_1(E, G)=k6_integr18(k4_real_ns1(D), F, A, G)) ) )  &  (r2_hidden(C, k2_rcomp_1(A, B)) & r1_nfcont_3(k4_real_ns1(D), F, C)) ) ) ) ) ) )  =>  (r1_ndiff_3(k4_real_ns1(D), E, C) & k1_ndiff_3(k4_real_ns1(D), E, C)=k7_partfun1(u1_struct_0(k4_real_ns1(D)), F, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_integr19, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( ( ~ (v8_ordinal1(D))  & m1_subset_1(D, k4_ordinal1))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(D))))))  =>  ~ ( (r1_xxreal_0(A, B) &  (r1_integr18(k4_real_ns1(D), k3_integra5(A, B), E) &  (v1_integr19(k2_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(D)), E, k3_integra5(A, B)), k4_real_ns1(D), k1_numbers) &  (r1_tarski(k3_integra5(A, B), k1_relset_1(k1_numbers, E)) &  (r2_hidden(C, k2_rcomp_1(A, B)) &  (r1_nfcont_3(k4_real_ns1(D), E, C) &  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(D))))))  =>  ~ ( (r1_tarski(k2_rcomp_1(A, B), k1_relset_1(k1_numbers, F)) &  ( (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, k2_rcomp_1(A, B)) => k1_funct_1(F, G)=k6_integr18(k4_real_ns1(D), E, A, G)) ) )  &  (r1_ndiff_3(k4_real_ns1(D), F, C) & k1_ndiff_3(k4_real_ns1(D), F, C)=k7_partfun1(u1_struct_0(k4_real_ns1(D)), E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_integr1c, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k2_numbers))) &  (v1_relat_1(A) &  (v4_relat_1(A, k1_numbers) &  (v5_relat_1(A, k2_numbers) &  (v1_funct_1(A) &  (v1_valued_0(A) & v1_integr1c(A)) ) ) ) ) ) ) ).
fof(d1_integr1c, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_numbers, k1_numbers), k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers), k2_numbers)))) )  =>  (A=k1_integr1c <=>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k1_numbers, k1_numbers)) =>  (! [C] :  (m1_subset_1(C, k1_numbers) =>  (! [D] :  (m1_subset_1(D, k1_numbers) =>  ( (C=k1_xtuple_0(B) & D=k2_xtuple_0(B))  => k1_funct_1(A, k4_tarski(C, D))=k2_xcmplx_0(C, k3_xcmplx_0(D, k7_complex1))) ) ) ) ) ) ) ) ) ) ).
fof(d2_integr1c, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_numbers)) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [G] :  (v1_xcmplx_0(G) =>  (G=k2_integr1c(A, B, C, D, E, F) <=>  (? [H] :  ( (v1_funct_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  &  (? [I] :  ( (v1_funct_1(I) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  &  (H=k3_relat_1(k13_funct_3(C, D), k1_partfun1(k2_zfmisc_1(k1_numbers, k1_numbers), k2_numbers, k2_numbers, k1_numbers, k1_integr1c, k5_comseq_3(k2_numbers, F))) &  (I=k3_relat_1(k13_funct_3(C, D), k1_partfun1(k2_zfmisc_1(k1_numbers, k1_numbers), k2_numbers, k2_numbers, k1_numbers, k1_integr1c, k6_comseq_3(k2_numbers, F))) & G=k2_xcmplx_0(k4_integra5(A, B, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, H, k2_fdiff_1(C, E)), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, I, k2_fdiff_1(D, E)))), k3_xcmplx_0(k4_integra5(A, B, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, I, k2_fdiff_1(C, E)), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, H, k2_fdiff_1(D, E)))), k7_complex1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_integr1c, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k2_numbers))))  =>  (v1_integr1c(A) <=>  (? [B] :  (v1_xreal_0(B) &  (? [C] :  (v1_xreal_0(C) &  (? [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  &  (? [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  &  (? [F] :  (m1_subset_1(F, k1_zfmisc_1(k1_numbers)) &  (r1_xxreal_0(B, C) &  (k1_rcomp_1(B, C)=k1_relset_1(k1_numbers, A) &  (r1_tarski(k1_rcomp_1(B, C), k1_relset_1(k1_numbers, D)) &  (r1_tarski(k1_rcomp_1(B, C), k1_relset_1(k1_numbers, E)) &  (v3_rcomp_1(F) &  (r1_tarski(k1_rcomp_1(B, C), F) &  (r2_fdiff_1(D, F) &  (r2_fdiff_1(E, F) &  (v1_fcont_1(k2_fdiff_1(D, F)) &  (v1_fcont_1(k2_fdiff_1(E, F)) & r2_relset_1(k1_numbers, k2_numbers, A, k2_partfun1(k1_numbers, k2_numbers, k2_valued_1(k1_numbers, k1_numbers, k2_numbers, D, k25_valued_1(k1_numbers, k1_numbers, E, k7_complex1)), k1_rcomp_1(B, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_integr1c, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_integr1c(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k2_numbers)))) )  =>  (r1_tarski(k2_relset_1(k2_numbers, B), k1_relset_1(k2_numbers, A)) =>  (! [C] :  (v1_xcmplx_0(C) =>  (C=k3_integr1c(A, B) <=>  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (? [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  &  (? [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  &  (? [H] :  (m1_subset_1(H, k1_zfmisc_1(k1_numbers)) &  (r1_xxreal_0(D, E) &  (k1_rcomp_1(D, E)=k1_relset_1(k1_numbers, B) &  (r1_tarski(k1_rcomp_1(D, E), k1_relset_1(k1_numbers, F)) &  (r1_tarski(k1_rcomp_1(D, E), k1_relset_1(k1_numbers, G)) &  (v3_rcomp_1(H) &  (r1_tarski(k1_rcomp_1(D, E), H) &  (r2_fdiff_1(F, H) &  (r2_fdiff_1(G, H) &  (v1_fcont_1(k2_fdiff_1(F, H)) &  (v1_fcont_1(k2_fdiff_1(G, H)) &  (r2_relset_1(k1_numbers, k2_numbers, B, k2_partfun1(k1_numbers, k2_numbers, k2_valued_1(k1_numbers, k1_numbers, k2_numbers, F, k25_valued_1(k1_numbers, k1_numbers, G, k7_complex1)), k1_rcomp_1(D, E))) & C=k2_integr1c(D, E, F, G, H, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_integr1c, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_integr1c(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k2_numbers)))) )  =>  (r1_integr1c(A, B) <=>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(k1_numbers)) =>  (! [H] :  ( (v1_funct_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [I] :  ( (v1_funct_1(I) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_xxreal_0(C, D) &  (k1_rcomp_1(C, D)=k1_relset_1(k1_numbers, B) &  (r1_tarski(k1_rcomp_1(C, D), k1_relset_1(k1_numbers, E)) &  (r1_tarski(k1_rcomp_1(C, D), k1_relset_1(k1_numbers, F)) &  (v3_rcomp_1(G) &  (r1_tarski(k1_rcomp_1(C, D), G) &  (r2_fdiff_1(E, G) &  (r2_fdiff_1(F, G) &  (v1_fcont_1(k2_fdiff_1(E, G)) &  (v1_fcont_1(k2_fdiff_1(F, G)) & r2_relset_1(k1_numbers, k2_numbers, B, k2_partfun1(k1_numbers, k2_numbers, k2_valued_1(k1_numbers, k1_numbers, k2_numbers, E, k25_valued_1(k1_numbers, k1_numbers, F, k7_complex1)), k1_rcomp_1(C, D)))) ) ) ) ) ) ) ) ) )  =>  (r1_integra5(k3_integra5(C, D), k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, H, k2_fdiff_1(E, G)), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, I, k2_fdiff_1(F, G)))) & r1_integra5(k3_integra5(C, D), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, I, k2_fdiff_1(E, G)), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, H, k2_fdiff_1(F, G))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_integr1c, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_integr1c(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k2_numbers)))) )  =>  (r2_integr1c(A, B) <=>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(k1_numbers)) =>  (! [H] :  ( (v1_funct_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [I] :  ( (v1_funct_1(I) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_xxreal_0(C, D) &  (k1_rcomp_1(C, D)=k1_relset_1(k1_numbers, B) &  (r1_tarski(k1_rcomp_1(C, D), k1_relset_1(k1_numbers, E)) &  (r1_tarski(k1_rcomp_1(C, D), k1_relset_1(k1_numbers, F)) &  (v3_rcomp_1(G) &  (r1_tarski(k1_rcomp_1(C, D), G) &  (r2_fdiff_1(E, G) &  (r2_fdiff_1(F, G) &  (v1_fcont_1(k2_fdiff_1(E, G)) &  (v1_fcont_1(k2_fdiff_1(F, G)) & r2_relset_1(k1_numbers, k2_numbers, B, k2_partfun1(k1_numbers, k2_numbers, k2_valued_1(k1_numbers, k1_numbers, k2_numbers, E, k25_valued_1(k1_numbers, k1_numbers, F, k7_complex1)), k1_rcomp_1(C, D)))) ) ) ) ) ) ) ) ) )  =>  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, H, k2_fdiff_1(E, G)), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, I, k2_fdiff_1(F, G))), k3_integra5(C, D))) & v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, I, k2_fdiff_1(E, G)), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, H, k2_fdiff_1(F, G))), k3_integra5(C, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_integr1c, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_integr1c(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k2_numbers)))) )  =>  ( (r1_tarski(k2_relset_1(k2_numbers, C), k1_relset_1(k2_numbers, A)) &  (r1_tarski(k2_relset_1(k2_numbers, C), k1_relset_1(k2_numbers, B)) &  (r1_integr1c(A, C) &  (r1_integr1c(B, C) &  (r2_integr1c(A, C) & r2_integr1c(B, C)) ) ) ) )  => k3_integr1c(k2_valued_1(k2_numbers, k2_numbers, k2_numbers, A, B), C)=k2_xcmplx_0(k3_integr1c(A, C), k3_integr1c(B, C))) ) ) ) ) ) ) ).
fof(t2_integr1c, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_integr1c(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k2_numbers)))) )  =>  ( (r1_tarski(k2_relset_1(k2_numbers, B), k1_relset_1(k2_numbers, A)) &  (r1_integr1c(A, B) & r2_integr1c(A, B)) )  =>  (! [C] :  (v1_xreal_0(C) => k3_integr1c(k25_valued_1(k2_numbers, k2_numbers, A, C), B)=k3_xcmplx_0(C, k3_integr1c(A, B))) ) ) ) ) ) ) ).
fof(t3_integr1c, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_integr1c(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k2_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_integr1c(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k2_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_integr1c(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k2_numbers)))) )  =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ( (r1_tarski(k2_relset_1(k2_numbers, B), k1_relset_1(k2_numbers, A)) &  (r1_integr1c(A, B) &  (r2_integr1c(A, B) &  (r1_xxreal_0(E, F) &  (k1_relset_1(k1_numbers, B)=k1_rcomp_1(E, F) &  (r2_hidden(G, k1_rcomp_1(E, F)) &  (k1_relset_1(k1_numbers, C)=k1_rcomp_1(E, G) &  (k1_relset_1(k1_numbers, D)=k1_rcomp_1(G, F) &  ( (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, k1_relset_1(k1_numbers, C)) => k1_funct_1(B, H)=k1_funct_1(C, H)) ) )  &  (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, k1_relset_1(k1_numbers, D)) => k1_funct_1(B, H)=k1_funct_1(D, H)) ) ) ) ) ) ) ) ) ) ) )  => k3_integr1c(A, B)=k2_xcmplx_0(k3_integr1c(A, C), k3_integr1c(A, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_integr1c, axiom,  (v1_funct_1(k1_integr1c) &  (v1_funct_2(k1_integr1c, k2_zfmisc_1(k1_numbers, k1_numbers), k2_numbers) & m1_subset_1(k1_integr1c, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers), k2_numbers)))) ) ).
fof(dt_k2_integr1c, axiom,  (! [A, B, C, D, E, F] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  &  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  &  (m1_subset_1(E, k1_zfmisc_1(k1_numbers)) &  (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers)))) ) ) ) ) )  => v1_xcmplx_0(k2_integr1c(A, B, C, D, E, F))) ) ).
fof(dt_k3_integr1c, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers))))  &  (v1_funct_1(B) &  (v1_integr1c(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k2_numbers)))) ) )  => v1_xcmplx_0(k3_integr1c(A, B))) ) ).
fof(d1_integr20, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (v1_integr20(B, A) <=>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( (r2_hidden(E, k1_relset_1(k1_numbers, B)) &  (r2_hidden(F, k1_relset_1(k1_numbers, B)) &  ( ~ (r1_xxreal_0(D, k9_complex1(k6_xcmplx_0(E, F))))  & r1_xxreal_0(C, k2_normsp_0(A, k5_algstr_0(A, k7_partfun1(u1_struct_0(A), B, E), k7_partfun1(u1_struct_0(A), B, F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_integr20, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B)))))  =>  (v1_integr20(k2_partfun1(k1_numbers, u1_struct_0(B), C, A), B) <=>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( (r2_hidden(F, k1_relset_1(A, k2_partfun1(k1_numbers, u1_struct_0(B), C, A))) &  (r2_hidden(G, k1_relset_1(A, k2_partfun1(k1_numbers, u1_struct_0(B), C, A))) &  ( ~ (r1_xxreal_0(E, k9_complex1(k6_xcmplx_0(F, G))))  & r1_xxreal_0(D, k2_normsp_0(B, k5_algstr_0(B, k7_partfun1(u1_struct_0(B), C, F), k7_partfun1(u1_struct_0(B), C, G))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_integr20, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(C)))))  =>  ( (v1_integr20(k2_partfun1(k1_numbers, u1_struct_0(C), D, A), C) & r1_tarski(B, A))  => v1_integr20(k2_partfun1(k1_numbers, u1_struct_0(C), D, B), C)) ) ) ) ) ) ) ).
fof(t3_integr20, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_numbers)) =>  ( (r1_tarski(C, k1_relset_1(k1_numbers, B)) &  (v1_rcomp_1(C) & v1_nfcont_3(k2_partfun1(k1_numbers, u1_struct_0(A), B, C), A)) )  => v1_integr20(k2_partfun1(k1_numbers, u1_struct_0(A), B, C), A)) ) ) ) ) ) ) ).
fof(t4_integr20, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k2_finseq_1(B), k2_finseq_1(C)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_finseq_1(B), k2_finseq_1(C)), u1_struct_0(A))))) )  =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(A)) =>  (! [F] :  (m2_finseq_1(F, u1_struct_0(A)) =>  ( (k4_finseq_1(E)=k2_finseq_1(B) &  ( (! [G] :  (v7_ordinal1(G) =>  ~ ( (r2_tarski(G, k4_finseq_1(E)) &  (! [H] :  (m2_finseq_1(H, u1_struct_0(A)) =>  ~ ( (k4_finseq_1(H)=k2_finseq_1(C) &  (k1_funct_1(E, G)=k4_rlvect_1(A, H) &  (! [I] :  (v7_ordinal1(I) =>  (r2_tarski(I, k4_finseq_1(H)) => k1_funct_1(H, I)=k1_binop_1(D, G, I)) ) ) ) ) ) ) ) ) ) ) )  &  (k4_finseq_1(F)=k2_finseq_1(C) &  (! [G] :  (v7_ordinal1(G) =>  ~ ( (r2_tarski(G, k4_finseq_1(F)) &  (! [H] :  (m2_finseq_1(H, u1_struct_0(A)) =>  ~ ( (k4_finseq_1(H)=k2_finseq_1(B) &  (k1_funct_1(F, G)=k4_rlvect_1(A, H) &  (! [I] :  (v7_ordinal1(I) =>  (r2_tarski(I, k4_finseq_1(H)) => k1_funct_1(H, I)=k1_binop_1(D, I, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) )  => k4_rlvect_1(A, E)=k4_rlvect_1(A, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_integr20, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  ( (v1_xboole_0(A) => k1_integr20(A)=k5_numbers)  &  ( ~ (v1_xboole_0(A))  => k1_integr20(A)=k3_integra1(A)) ) ) ) ).
fof(t5_integr20, axiom,  (! [A] :  ( (v5_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  => r1_xxreal_0(k5_numbers, k1_integr20(A))) ) ).
fof(t6_integr20, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  ( (k4_finseq_1(C)=k2_finseq_1(k3_finseq_1(B)) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k2_finseq_1(k3_finseq_1(B))) => k1_funct_1(C, D)=k3_integra1(k2_integra1(A, B, D))) ) ) )  => k18_rvsum_1(C)=k3_integra1(A)) ) ) ) ) ) ) ).
fof(t7_integr20, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  ( (k3_finseq_1(D)=k3_finseq_1(C) &  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_tarski(E, k4_finseq_1(D)) &  (! [F] :  (v1_xreal_0(F) =>  ~ ( (F=k1_funct_1(C, E) & k1_funct_1(D, E)=k1_rlvect_1(A, B, F)) ) ) ) ) ) ) ) )  => k4_rlvect_1(A, D)=k1_rlvect_1(A, B, k18_rvsum_1(C))) ) ) ) ) ) ) ) ) ).
fof(t8_integr20, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  ( (r1_tarski(C, A) &  (k3_finseq_1(B)=k3_finseq_1(D) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) => k1_funct_1(D, E)=k1_integr20(k9_subset_1(k1_numbers, C, k2_integra1(A, B, E)))) ) ) ) )  => k18_rvsum_1(D)=k3_integra1(C)) ) ) ) ) ) ) ) ) ).
fof(t9_integr20, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ~ ( (r2_tarski(D, k4_finseq_1(B)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (E=k7_partfun1(u1_struct_0(A), B, D) & k1_funct_1(C, D)=k2_normsp_0(A, E)) ) ) ) ) ) ) ) )  => r1_xxreal_0(k2_normsp_0(A, k4_rlvect_1(A, B)), k18_rvsum_1(C))) ) ) ) ) ) ) ).
fof(t10_integr20, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(B)) => r1_xxreal_0(k2_normsp_0(A, k7_partfun1(u1_struct_0(A), B, D)), k1_funct_1(C, D))) ) ) )  => r1_xxreal_0(k2_normsp_0(A, k4_rlvect_1(A, B)), k18_rvsum_1(C))) ) ) ) ) ) ) ).
fof(t11_integr20, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  (m1_integra1(C, B) =>  (r2_tarski(A, k4_finseq_1(C)) => r1_xxreal_0(k3_integra1(k2_integra1(B, C, A)), k1_integra3(B, C))) ) ) ) ) ) ) ).
fof(t12_integr20, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(C, k1_integra3(A, B)))  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( (r2_tarski(D, k4_finseq_1(B)) &  (r2_hidden(E, k2_integra1(A, B, D)) &  (r2_hidden(F, k2_integra1(A, B, D)) & r1_xxreal_0(C, k9_complex1(k6_xcmplx_0(E, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_integr20, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( (r2_hidden(F, k1_relset_1(B, C)) &  (r2_hidden(G, k1_relset_1(B, C)) &  ( ~ (r1_xxreal_0(E, k9_complex1(k6_xcmplx_0(F, G))))  & r1_xxreal_0(D, k2_normsp_0(A, k5_algstr_0(A, k7_partfun1(u1_struct_0(A), C, F), k7_partfun1(u1_struct_0(A), C, G))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_integra1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(B))))) )  =>  (! [E] :  (m2_integr18(E, A, B, C, D) =>  ( (v2_comseq_2(k2_integra3(B, D)) & k1_seq_2(k2_integra3(B, D))=k5_numbers)  => v3_normsp_1(k3_integr18(A, B, C, D, E), A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_integr20, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( (! [B] :  (v7_ordinal1(B) =>  ( ~ (A=k3_xcmplx_0(2, B))  &  ~ (A=k1_nat_1(k3_xcmplx_0(2, B), 1)) ) ) ) ) ) ) ).
fof(t15_integr20, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_integra1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_integra1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  =>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_integra1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  &  (! [E] :  (v7_ordinal1(E) =>  (k2_integra2(A, D, k3_xcmplx_0(2, E))=k2_integra2(A, B, E) & k2_integra2(A, D, k1_nat_1(k3_xcmplx_0(2, E), 1))=k2_integra2(A, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_integr20, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_integra1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_integra1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_integra1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  =>  ( (v2_comseq_2(k2_integra3(A, B)) &  (k1_seq_2(k2_integra3(A, B))=k5_numbers &  (v2_comseq_2(k2_integra3(A, C)) &  (k1_seq_2(k2_integra3(A, C))=k5_numbers &  (! [E] :  (v7_ordinal1(E) =>  (k2_integra2(A, D, k3_xcmplx_0(2, E))=k2_integra2(A, B, E) & k2_integra2(A, D, k1_nat_1(k3_xcmplx_0(2, E), 1))=k2_integra2(A, C, E)) ) ) ) ) ) )  =>  (v2_comseq_2(k2_integra3(A, D)) & k1_seq_2(k2_integra3(A, D))=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t17_integr20, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_integra1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_integra1(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(B))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k1_integra1(B)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(B))))) )  =>  (! [G] :  (m2_integr18(G, A, B, C, D) =>  (! [H] :  (m2_integr18(H, A, B, C, E) =>  ~ ( ( (! [I] :  (v7_ordinal1(I) =>  (k2_integra2(B, F, k3_xcmplx_0(2, I))=k2_integra2(B, D, I) & k2_integra2(B, F, k1_nat_1(k3_xcmplx_0(2, I), 1))=k2_integra2(B, E, I)) ) )  &  (! [I] :  (m2_integr18(I, A, B, C, F) =>  ~ ( (! [J] :  (v7_ordinal1(J) =>  (k2_integr18(A, B, C, F, I, k3_xcmplx_0(2, J))=k2_integr18(A, B, C, D, G, J) & k2_integr18(A, B, C, F, I, k1_nat_1(k3_xcmplx_0(2, J), 1))=k2_integr18(A, B, C, E, H, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_integr20, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v3_normsp_1(D, A) &  (! [E] :  (v7_ordinal1(E) =>  (k1_normsp_0(A, D, k3_xcmplx_0(2, E))=k1_normsp_0(A, B, E) & k1_normsp_0(A, D, k1_nat_1(k3_xcmplx_0(2, E), 1))=k1_normsp_0(A, C, E)) ) ) )  =>  (v3_normsp_1(B, A) &  (k5_normsp_1(A, B)=k5_normsp_1(A, D) &  (v3_normsp_1(C, A) & k5_normsp_1(A, C)=k5_normsp_1(A, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_integr20, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) &  (v3_lopban_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_nfcont_3(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(C))))) )  =>  ( (r1_xxreal_0(A, B) & r1_tarski(k3_integra5(A, B), k1_relset_1(k1_numbers, D)))  => r1_integr18(C, k3_integra5(A, B), D)) ) ) ) ) ) ) ) ) ).
fof(s1_integr20, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, f1_s1_integr20) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f1_s1_integr20)))) )  &  (! [B] :  (v7_ordinal1(B) =>  (k8_nat_1(f1_s1_integr20, A, k3_xcmplx_0(2, B))=f2_s1_integr20(B) & k8_nat_1(f1_s1_integr20, A, k1_nat_1(k3_xcmplx_0(2, B), 1))=f3_s1_integr20(B)) ) ) ) ) ).
fof(dt_k1_integr20, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) => v1_xreal_0(k1_integr20(A))) ) ).
fof(dt_f1_s1_integr20, axiom,  ~ (v1_xboole_0(f1_s1_integr20)) ).
fof(dt_f2_s1_integr20, axiom,  (! [A] : m1_subset_1(f2_s1_integr20(A), f1_s1_integr20)) ).
fof(dt_f3_s1_integr20, axiom,  (! [A] : m1_subset_1(f3_s1_integr20(A), f1_s1_integr20)) ).
fof(t1_integr21, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  ( (v1_integr19(C, A, k1_numbers) & r1_tarski(B, k1_relset_1(k1_numbers, C)))  => v1_integr19(k2_partfun1(k1_numbers, u1_struct_0(A), C, B), A, k1_numbers)) ) ) ) ) ) ) ).
fof(t2_integr21, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  ( (v1_integr19(k2_partfun1(k1_numbers, u1_struct_0(A), D, B), A, k1_numbers) &  (r1_tarski(C, B) & r1_tarski(C, k1_relset_1(B, k2_partfun1(k1_numbers, u1_struct_0(A), D, B)))) )  => v1_integr19(k2_partfun1(k1_numbers, u1_struct_0(A), D, C), A, k1_numbers)) ) ) ) ) ) ) ) ) ).
fof(t3_integr21, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  ( (r1_xxreal_0(B, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, C) &  (v1_integr19(k2_partfun1(k1_numbers, u1_struct_0(A), F, k3_integra5(B, C)), A, k1_numbers) & r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, F))) ) ) )  => v1_integr19(k2_partfun1(k1_numbers, u1_struct_0(A), F, k3_integra5(D, E)), A, k1_numbers)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_integr21, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  ( (v1_integr19(k2_partfun1(k1_numbers, u1_struct_0(A), D, B), A, k1_numbers) & v1_integr19(k2_partfun1(k1_numbers, u1_struct_0(A), E, C), A, k1_numbers))  =>  (v1_integr19(k2_partfun1(k1_numbers, u1_struct_0(A), k6_vfunct_1(k1_numbers, A, D, E), k3_xboole_0(B, C)), A, k1_numbers) & v1_integr19(k2_partfun1(k1_numbers, u1_struct_0(A), k2_vfunct_1(k1_numbers, A, D, E), k3_xboole_0(B, C)), A, k1_numbers)) ) ) ) ) ) ) ) ) ) ).
fof(t5_integr21, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (v1_integr19(k2_partfun1(k1_numbers, u1_struct_0(A), D, C), A, k1_numbers) => v1_integr19(k2_partfun1(k1_numbers, u1_struct_0(A), k4_vfunct_1(k1_numbers, A, D, B), C), A, k1_numbers)) ) ) ) ) ) ) ) ).
fof(t6_integr21, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (v1_integr19(k2_partfun1(k1_numbers, u1_struct_0(A), C, B), A, k1_numbers) => v1_integr19(k2_partfun1(k1_numbers, u1_struct_0(A), k5_vfunct_1(k1_numbers, A, C), B), A, k1_numbers)) ) ) ) ) ) ).
fof(t7_integr21, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (v1_integr19(C, A, B) <=> v1_comseq_2(k4_normsp_0(B, A, C))) ) ) ) ) ) ) ).
fof(t8_integr21, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (r1_tarski(B, k1_relset_1(k1_numbers, C)) => r2_relset_1(k1_numbers, k1_numbers, k4_normsp_0(k1_numbers, A, k2_partfun1(k1_numbers, u1_struct_0(A), C, B)), k2_partfun1(k1_numbers, k1_numbers, k4_normsp_0(k1_numbers, A, C), B))) ) ) ) ) ) ) ).
fof(t9_integr21, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, C)) & v1_integr19(k2_partfun1(k1_numbers, u1_struct_0(A), C, B), A, k1_numbers))  => v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, k4_normsp_0(k1_numbers, A, C), B))) ) ) ) ) ) ) ).
fof(t10_integr21, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_nfcont_3(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(C))))) )  =>  ( (r1_xxreal_0(A, B) & r1_tarski(k3_integra5(A, B), k1_relset_1(k1_numbers, D)))  => v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, k4_normsp_0(k1_numbers, C, D), k3_integra5(A, B)))) ) ) ) ) ) ) ) ) ).
fof(t11_integr21, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_nfcont_3(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(C))))) )  =>  ( (r1_xxreal_0(A, B) & r1_tarski(k3_integra5(A, B), k1_relset_1(k1_numbers, D)))  => v1_integr19(k2_partfun1(k1_numbers, u1_struct_0(C), D, k3_integra5(A, B)), C, k1_numbers)) ) ) ) ) ) ) ) ) ).
fof(t12_integr21, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_nfcont_3(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(C))))) )  =>  ( (r1_xxreal_0(A, B) & r1_tarski(k3_integra5(A, B), k1_relset_1(k1_numbers, D)))  => r1_integra5(k3_integra5(A, B), k4_normsp_0(k1_numbers, C, D))) ) ) ) ) ) ) ) ) ).
fof(t13_integr21, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v13_algstr_0(E) &  (v2_rlvect_1(E) &  (v3_rlvect_1(E) &  (v4_rlvect_1(E) &  (v5_rlvect_1(E) &  (v6_rlvect_1(E) &  (v7_rlvect_1(E) &  (v8_rlvect_1(E) &  (v3_normsp_0(E) &  (v4_normsp_0(E) &  (v2_normsp_1(E) &  (v3_lopban_1(E) & l1_normsp_1(E)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_nfcont_3(F, E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(E))))) )  =>  ( (r1_xxreal_0(A, C) &  (r1_xxreal_0(C, D) &  (r1_xxreal_0(D, B) & r1_tarski(k3_integra5(A, B), k1_relset_1(k1_numbers, F))) ) )  => r1_integr18(E, k3_integra5(C, D), F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_integr21, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) &  (v3_lopban_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(C)))))  =>  ( (r1_xxreal_0(A, B) & r1_tarski(k3_integra5(A, B), k1_relset_1(k1_numbers, D)))  => k6_integr18(C, D, B, A)=k4_algstr_0(C, k6_integr18(C, D, A, B))) ) ) ) ) ) ) ) ) ).
fof(t15_integr21, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v5_rlvect_1(D) &  (v6_rlvect_1(D) &  (v7_rlvect_1(D) &  (v8_rlvect_1(D) &  (v3_normsp_0(D) &  (v4_normsp_0(D) &  (v2_normsp_1(D) &  (v3_lopban_1(D) & l1_normsp_1(D)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_nfcont_3(E, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(D))))) )  =>  ( (r1_xxreal_0(A, B) &  (r1_tarski(k3_integra5(A, B), k1_relset_1(k1_numbers, E)) & r2_hidden(C, k3_integra5(A, B))) )  =>  (r1_integr18(D, k3_integra5(A, C), E) &  (r1_integr18(D, k3_integra5(C, B), E) & k6_integr18(D, E, A, B)=k3_rlvect_1(D, k6_integr18(D, E, A, C), k6_integr18(D, E, C, B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_integr21, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v13_algstr_0(E) &  (v2_rlvect_1(E) &  (v3_rlvect_1(E) &  (v4_rlvect_1(E) &  (v5_rlvect_1(E) &  (v6_rlvect_1(E) &  (v7_rlvect_1(E) &  (v8_rlvect_1(E) &  (v3_normsp_0(E) &  (v4_normsp_0(E) &  (v2_normsp_1(E) &  (v3_lopban_1(E) & l1_normsp_1(E)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_nfcont_3(F, E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(E))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_nfcont_3(G, E) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(E))))) )  =>  ( (r1_xxreal_0(A, C) &  (r1_xxreal_0(C, D) &  (r1_xxreal_0(D, B) &  (r1_tarski(k3_integra5(A, B), k1_relset_1(k1_numbers, F)) & r1_tarski(k3_integra5(A, B), k1_relset_1(k1_numbers, G))) ) ) )  =>  (r1_integr18(E, k3_integra5(C, D), k6_vfunct_1(k1_numbers, E, F, G)) & v1_integr19(k2_partfun1(k1_numbers, u1_struct_0(E), k6_vfunct_1(k1_numbers, E, F, G), k3_integra5(C, D)), E, k1_numbers)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_integr21, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v13_algstr_0(F) &  (v2_rlvect_1(F) &  (v3_rlvect_1(F) &  (v4_rlvect_1(F) &  (v5_rlvect_1(F) &  (v6_rlvect_1(F) &  (v7_rlvect_1(F) &  (v8_rlvect_1(F) &  (v3_normsp_0(F) &  (v4_normsp_0(F) &  (v2_normsp_1(F) &  (v3_lopban_1(F) & l1_normsp_1(F)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_nfcont_3(G, F) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(F))))) )  =>  ( (r1_xxreal_0(A, C) &  (r1_xxreal_0(C, D) &  (r1_xxreal_0(D, B) & r1_tarski(k3_integra5(A, B), k1_relset_1(k1_numbers, G))) ) )  =>  (r1_integr18(F, k3_integra5(C, D), k4_vfunct_1(k1_numbers, F, G, E)) & v1_integr19(k2_partfun1(k1_numbers, u1_struct_0(F), k4_vfunct_1(k1_numbers, F, G, E), k3_integra5(C, D)), F, k1_numbers)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_integr21, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v13_algstr_0(E) &  (v2_rlvect_1(E) &  (v3_rlvect_1(E) &  (v4_rlvect_1(E) &  (v5_rlvect_1(E) &  (v6_rlvect_1(E) &  (v7_rlvect_1(E) &  (v8_rlvect_1(E) &  (v3_normsp_0(E) &  (v4_normsp_0(E) &  (v2_normsp_1(E) &  (v3_lopban_1(E) & l1_normsp_1(E)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_nfcont_3(F, E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(E))))) )  =>  ( (r1_xxreal_0(A, C) &  (r1_xxreal_0(C, D) &  (r1_xxreal_0(D, B) &  (r1_integr18(E, k3_integra5(A, B), F) &  (v1_integr19(k2_partfun1(k1_numbers, u1_struct_0(E), F, k3_integra5(A, B)), E, k1_numbers) & r1_tarski(k3_integra5(A, B), k1_relset_1(k1_numbers, F))) ) ) ) )  =>  (r1_integr18(E, k3_integra5(C, D), k5_vfunct_1(k1_numbers, E, F)) & v1_integr19(k2_partfun1(k1_numbers, u1_struct_0(E), k5_vfunct_1(k1_numbers, E, F), k3_integra5(C, D)), E, k1_numbers)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_integr21, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v13_algstr_0(E) &  (v2_rlvect_1(E) &  (v3_rlvect_1(E) &  (v4_rlvect_1(E) &  (v5_rlvect_1(E) &  (v6_rlvect_1(E) &  (v7_rlvect_1(E) &  (v8_rlvect_1(E) &  (v3_normsp_0(E) &  (v4_normsp_0(E) &  (v2_normsp_1(E) &  (v3_lopban_1(E) & l1_normsp_1(E)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_nfcont_3(F, E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(E))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_nfcont_3(G, E) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(E))))) )  =>  ( (r1_xxreal_0(A, C) &  (r1_xxreal_0(C, D) &  (r1_xxreal_0(D, B) &  (r1_tarski(k3_integra5(A, B), k1_relset_1(k1_numbers, F)) & r1_tarski(k3_integra5(A, B), k1_relset_1(k1_numbers, G))) ) ) )  =>  (r1_integr18(E, k3_integra5(C, D), k2_vfunct_1(k1_numbers, E, F, G)) & v1_integr19(k2_partfun1(k1_numbers, u1_struct_0(E), k2_vfunct_1(k1_numbers, E, F, G), k3_integra5(C, D)), E, k1_numbers)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_integr21, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) &  (v3_lopban_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B)))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, C)) &  (v1_integr19(k2_partfun1(k1_numbers, u1_struct_0(B), C, A), B, k1_numbers) &  (r1_integr18(B, A, C) & r1_integra5(A, k4_normsp_0(k1_numbers, B, C))) ) )  => r1_xxreal_0(k2_normsp_0(B, k5_integr18(B, A, C)), k2_integra5(A, k4_normsp_0(k1_numbers, B, C)))) ) ) ) ) ) ) ).
fof(t21_integr21, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) &  (v3_lopban_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(C)))))  =>  ( (r1_xxreal_0(A, B) &  (r1_tarski(k3_integra5(A, B), k1_relset_1(k1_numbers, D)) &  (r1_integr18(C, k3_integra5(A, B), D) &  (r1_integra5(k3_integra5(A, B), k4_normsp_0(k1_numbers, C, D)) & v1_integr19(k2_partfun1(k1_numbers, u1_struct_0(C), D, k3_integra5(A, B)), C, k1_numbers)) ) ) )  => r1_xxreal_0(k2_normsp_0(C, k6_integr18(C, D, A, B)), k4_integra5(A, B, k4_normsp_0(k1_numbers, C, D)))) ) ) ) ) ) ) ) ) ).
fof(t22_integr21, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v13_algstr_0(E) &  (v2_rlvect_1(E) &  (v3_rlvect_1(E) &  (v4_rlvect_1(E) &  (v5_rlvect_1(E) &  (v6_rlvect_1(E) &  (v7_rlvect_1(E) &  (v8_rlvect_1(E) &  (v3_normsp_0(E) &  (v4_normsp_0(E) &  (v2_normsp_1(E) &  (v3_lopban_1(E) & l1_normsp_1(E)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_nfcont_3(F, E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(E))))) )  =>  ( (r1_xxreal_0(A, B) &  (r1_tarski(k3_integra5(A, B), k1_relset_1(k1_numbers, F)) &  (r2_hidden(C, k3_integra5(A, B)) & r2_hidden(D, k3_integra5(A, B))) ) )  =>  (r1_integra5(k3_integra5(k3_xxreal_0(C, D), k4_xxreal_0(C, D)), k4_normsp_0(k1_numbers, E, F)) &  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, k4_normsp_0(k1_numbers, E, F), k3_integra5(k3_xxreal_0(C, D), k4_xxreal_0(C, D)))) & r1_xxreal_0(k2_normsp_0(E, k6_integr18(E, F, C, D)), k4_integra5(k3_xxreal_0(C, D), k4_xxreal_0(C, D), k4_normsp_0(k1_numbers, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_integr21, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v13_algstr_0(F) &  (v2_rlvect_1(F) &  (v3_rlvect_1(F) &  (v4_rlvect_1(F) &  (v5_rlvect_1(F) &  (v6_rlvect_1(F) &  (v7_rlvect_1(F) &  (v8_rlvect_1(F) &  (v3_normsp_0(F) &  (v4_normsp_0(F) &  (v2_normsp_1(F) &  (v3_lopban_1(F) & l1_normsp_1(F)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_nfcont_3(G, F) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(F))))) )  =>  ( (r1_xxreal_0(A, B) &  (r1_tarski(k3_integra5(A, B), k1_relset_1(k1_numbers, G)) &  (r2_hidden(C, k3_integra5(A, B)) & r2_hidden(D, k3_integra5(A, B))) ) )  => k6_integr18(F, k4_vfunct_1(k1_numbers, F, G, E), C, D)=k1_rlvect_1(F, k6_integr18(F, G, C, D), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_integr21, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v13_algstr_0(E) &  (v2_rlvect_1(E) &  (v3_rlvect_1(E) &  (v4_rlvect_1(E) &  (v5_rlvect_1(E) &  (v6_rlvect_1(E) &  (v7_rlvect_1(E) &  (v8_rlvect_1(E) &  (v3_normsp_0(E) &  (v4_normsp_0(E) &  (v2_normsp_1(E) &  (v3_lopban_1(E) & l1_normsp_1(E)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_nfcont_3(F, E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(E))))) )  =>  ( (r1_xxreal_0(A, B) &  (r1_tarski(k3_integra5(A, B), k1_relset_1(k1_numbers, F)) &  (r2_hidden(C, k3_integra5(A, B)) & r2_hidden(D, k3_integra5(A, B))) ) )  => k6_integr18(E, k5_vfunct_1(k1_numbers, E, F), C, D)=k4_algstr_0(E, k6_integr18(E, F, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_integr21, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v13_algstr_0(F) &  (v2_rlvect_1(F) &  (v3_rlvect_1(F) &  (v4_rlvect_1(F) &  (v5_rlvect_1(F) &  (v6_rlvect_1(F) &  (v7_rlvect_1(F) &  (v8_rlvect_1(F) &  (v3_normsp_0(F) &  (v4_normsp_0(F) &  (v2_normsp_1(F) &  (v3_lopban_1(F) & l1_normsp_1(F)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_nfcont_3(G, F) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(F))))) )  =>  ( (r1_xxreal_0(A, B) &  (r1_tarski(k3_integra5(A, B), k1_relset_1(k1_numbers, G)) &  (r2_hidden(C, k3_integra5(A, B)) &  (r2_hidden(D, k3_integra5(A, B)) &  (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, k3_integra5(k3_xxreal_0(C, D), k4_xxreal_0(C, D))) => r1_xxreal_0(k2_normsp_0(F, k7_partfun1(u1_struct_0(F), G, H)), E)) ) ) ) ) ) )  => r1_xxreal_0(k2_normsp_0(F, k6_integr18(F, G, C, D)), k3_xcmplx_0(E, k9_complex1(k6_xcmplx_0(D, C))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_integr21, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k2_relset_1(u1_struct_0(A), C)=k1_tarski(D) =>  (v1_integr18(C, A, B) & k4_integr18(A, B, C)=k1_rlvect_1(A, D, k3_integra1(B))) ) ) ) ) ) ) ) ) ) ).
fof(t27_integr21, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) &  (v3_lopban_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(C)))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  ( (r1_xxreal_0(A, B) &  (r1_tarski(k3_integra5(A, B), k1_relset_1(k1_numbers, D)) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, k3_integra5(A, B)) => k7_partfun1(u1_struct_0(C), D, F)=E) ) ) ) )  =>  (r1_integr18(C, k3_integra5(A, B), D) & k6_integr18(C, D, A, B)=k1_rlvect_1(C, E, k6_xcmplx_0(B, A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_integr21, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v13_algstr_0(E) &  (v2_rlvect_1(E) &  (v3_rlvect_1(E) &  (v4_rlvect_1(E) &  (v5_rlvect_1(E) &  (v6_rlvect_1(E) &  (v7_rlvect_1(E) &  (v8_rlvect_1(E) &  (v3_normsp_0(E) &  (v4_normsp_0(E) &  (v2_normsp_1(E) &  (v3_lopban_1(E) & l1_normsp_1(E)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(E)) =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(E)))))  =>  ( (r1_xxreal_0(A, B) &  (r2_hidden(C, k3_integra5(A, B)) &  (r2_hidden(D, k3_integra5(A, B)) &  (r1_tarski(k3_integra5(A, B), k1_relset_1(k1_numbers, G)) &  (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, k3_integra5(A, B)) => k7_partfun1(u1_struct_0(E), G, H)=F) ) ) ) ) ) )  => k6_integr18(E, G, C, D)=k1_rlvect_1(E, F, k6_xcmplx_0(D, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_integr21, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v13_algstr_0(E) &  (v2_rlvect_1(E) &  (v3_rlvect_1(E) &  (v4_rlvect_1(E) &  (v5_rlvect_1(E) &  (v6_rlvect_1(E) &  (v7_rlvect_1(E) &  (v8_rlvect_1(E) &  (v3_normsp_0(E) &  (v4_normsp_0(E) &  (v2_normsp_1(E) &  (v3_lopban_1(E) & l1_normsp_1(E)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_nfcont_3(F, E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(E))))) )  =>  ( (r1_xxreal_0(A, B) &  (r1_tarski(k3_integra5(A, B), k1_relset_1(k1_numbers, F)) &  (r2_hidden(C, k3_integra5(A, B)) & r2_hidden(D, k3_integra5(A, B))) ) )  => k6_integr18(E, F, A, D)=k3_rlvect_1(E, k6_integr18(E, F, A, C), k6_integr18(E, F, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_integr21, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v13_algstr_0(E) &  (v2_rlvect_1(E) &  (v3_rlvect_1(E) &  (v4_rlvect_1(E) &  (v5_rlvect_1(E) &  (v6_rlvect_1(E) &  (v7_rlvect_1(E) &  (v8_rlvect_1(E) &  (v3_normsp_0(E) &  (v4_normsp_0(E) &  (v2_normsp_1(E) &  (v3_lopban_1(E) & l1_normsp_1(E)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_nfcont_3(F, E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(E))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_nfcont_3(G, E) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(E))))) )  =>  ( (r1_xxreal_0(A, B) &  (r1_tarski(k3_integra5(A, B), k1_relset_1(k1_numbers, F)) &  (r1_tarski(k3_integra5(A, B), k1_relset_1(k1_numbers, G)) &  (r2_hidden(C, k3_integra5(A, B)) & r2_hidden(D, k3_integra5(A, B))) ) ) )  => k6_integr18(E, k2_vfunct_1(k1_numbers, E, F, G), C, D)=k5_algstr_0(E, k6_integr18(E, F, C, D), k6_integr18(E, G, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_integr22, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_valued_0(B)) )  =>  ( (v1_xboole_0(A) => k1_integr22(A, B)=k5_numbers)  &  ( ~ (v1_xboole_0(A))  => k1_integr22(A, B)=k6_xcmplx_0(k1_funct_1(B, k2_seq_4(A)), k1_funct_1(B, k3_seq_4(A)))) ) ) ) ) ) ).
fof(t1_integr22, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v2_measure5(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers))) )  =>  (! [E] :  (m2_finseq_1(E, k1_numbers) =>  ( (r1_tarski(D, A) &  (k3_finseq_1(B)=k3_finseq_1(E) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k4_finseq_1(E)) => k1_funct_1(E, F)=k1_integr22(k9_subset_1(k1_numbers, D, k2_integra1(A, B, F)), C)) ) ) ) )  => k18_rvsum_1(E)=k1_integr22(D, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_integr22, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(B)), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(B)), k1_numbers)))) )  =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  (! [E] :  (m2_finseq_1(E, k1_numbers) =>  ( (k4_finseq_1(D)=k2_finseq_1(A) &  ( (! [F] :  (v7_ordinal1(F) =>  ~ ( (r2_tarski(F, k4_finseq_1(D)) &  (! [G] :  (m2_finseq_1(G, k1_numbers) =>  ~ ( (k4_finseq_1(G)=k2_finseq_1(B) &  (k1_funct_1(D, F)=k18_rvsum_1(G) &  (! [H] :  (v7_ordinal1(H) =>  (r2_tarski(H, k4_finseq_1(G)) => k1_funct_1(G, H)=k1_binop_1(C, F, H)) ) ) ) ) ) ) ) ) ) ) )  &  (k4_finseq_1(E)=k2_finseq_1(B) &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r2_tarski(F, k4_finseq_1(E)) &  (! [G] :  (m2_finseq_1(G, k1_numbers) =>  ~ ( (k4_finseq_1(G)=k2_finseq_1(A) &  (k1_funct_1(E, F)=k18_rvsum_1(G) &  (! [H] :  (v7_ordinal1(H) =>  (r2_tarski(H, k4_finseq_1(G)) => k1_funct_1(G, H)=k1_binop_1(C, H, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) )  => k18_rvsum_1(D)=k18_rvsum_1(E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_integr22, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_valued_0(B)) )  =>  (! [C] :  (m1_integra1(C, A) =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  (m1_integr22(D, A, B, C) <=>  (k3_finseq_1(D)=k3_finseq_1(C) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(C)) => k1_funct_1(D, E)=k9_complex1(k1_integr22(k2_integra1(A, C, E), B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_integr22, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  (m1_integra1(C, A) =>  (! [D] :  (m1_integr22(D, A, B, C) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) => r1_xxreal_0(k5_numbers, k1_funct_1(D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_integr22, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  (m1_integra1(C, A) =>  (! [D] :  (m1_integr22(D, A, B, C) => r1_xxreal_0(k5_numbers, k18_rvsum_1(D))) ) ) ) ) ) ) ) ).
fof(d3_integr22, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_integr22(B, A) <=>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (m1_integra1(D, A) =>  (! [E] :  (m1_integr22(E, A, B, D) => r1_xxreal_0(k18_rvsum_1(E), C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_integr22, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  (m1_integra1(C, A) =>  (v1_integr22(B, A) =>  (! [D] :  (m1_integr22(D, A, B, C) => r1_xxreal_0(k18_rvsum_1(D), k2_integr22(A, B))) ) ) ) ) ) ) ) ) ).
fof(t6_integr22, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_integr22(B, A) => r1_xxreal_0(k5_numbers, k2_integr22(A, B))) ) ) ) ) ).
fof(d5_integr22, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v1_integr22(B, A) & k1_relset_1(k1_numbers, C)=A)  =>  (! [D] :  (m1_integra1(D, A) =>  (! [E] :  (m2_finseq_1(E, k1_numbers) =>  (m2_integr22(E, A, B, C, D) <=>  (k3_finseq_1(E)=k3_finseq_1(D) &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r2_tarski(F, k4_finseq_1(D)) &  (! [G] :  (v1_xreal_0(G) =>  ~ ( (r2_hidden(G, k1_rvsum_1(k2_partfun1(k1_numbers, k1_numbers, C, k2_integra1(A, D, F)))) & k1_funct_1(E, F)=k3_xcmplx_0(G, k1_integr22(k2_integra1(A, D, F), B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_integr22, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_integra1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k3_finseq_2(k1_numbers)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k3_finseq_2(k1_numbers))))) )  =>  (m3_integr22(E, A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, k4_ordinal1) => m2_integr22(k8_finseq_2(k1_numbers, k3_finseq_2(k1_numbers), E, F), A, B, C, k2_integra2(A, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_integr22, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_integra1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  =>  (! [E] :  (m3_integr22(E, A, B, C, D) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (F=k4_integr22(A, B, C, D, E) <=>  (! [G] :  (v7_ordinal1(G) => k8_nat_1(k1_numbers, F, G)=k18_rvsum_1(k3_integr22(A, B, C, D, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_integr22, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_integr22(A, B, C) <=>  (? [D] :  (v1_xreal_0(D) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_integra1(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  =>  (! [F] :  (m3_integr22(F, A, B, C, E) =>  ( (v2_comseq_2(k2_integra3(A, E)) & k1_seq_2(k2_integra3(A, E))=k5_numbers)  =>  (v2_comseq_2(k4_integr22(A, B, C, E, F)) & k1_seq_2(k4_integr22(A, B, C, E, F))=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_integr22, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v1_integr22(B, A) &  (k1_relset_1(k1_numbers, C)=A & r1_integr22(A, B, C)) )  =>  (! [D] :  (v1_xreal_0(D) =>  (D=k5_integr22(A, B, C) <=>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_integra1(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  =>  (! [F] :  (m3_integr22(F, A, B, C, E) =>  ( (v2_comseq_2(k2_integra3(A, E)) & k1_seq_2(k2_integra3(A, E))=k5_numbers)  =>  (v2_comseq_2(k4_integr22(A, B, C, E, F)) & k1_seq_2(k4_integr22(A, B, C, E, F))=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_integr22, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v1_integr22(C, A) &  (k1_relset_1(k1_numbers, D)=A &  (k1_relset_1(k1_numbers, E)=A &  (r2_relset_1(k1_numbers, k1_numbers, E, k26_valued_1(k1_numbers, k1_numbers, D, B)) & r1_integr22(A, C, D)) ) ) )  =>  (r1_integr22(A, C, E) & k5_integr22(A, C, E)=k3_xcmplx_0(B, k5_integr22(A, C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_integr22, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v1_integr22(B, A) &  (k1_relset_1(k1_numbers, C)=A &  (k1_relset_1(k1_numbers, D)=A &  (r2_relset_1(k1_numbers, k1_numbers, D, k32_valued_1(k1_numbers, k1_numbers, C)) & r1_integr22(A, B, C)) ) ) )  =>  (r1_integr22(A, B, D) & k5_integr22(A, B, D)=k4_xcmplx_0(k5_integr22(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t9_integr22, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v1_integr22(B, A) &  (k1_relset_1(k1_numbers, C)=A &  (k1_relset_1(k1_numbers, D)=A &  (k1_relset_1(k1_numbers, E)=A &  (r2_relset_1(k1_numbers, k1_numbers, E, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D)) &  (r1_integr22(A, B, C) & r1_integr22(A, B, D)) ) ) ) ) )  =>  (r1_integr22(A, B, E) & k5_integr22(A, B, E)=k2_xcmplx_0(k5_integr22(A, B, C), k5_integr22(A, B, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_integr22, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v1_integr22(B, A) &  (k1_relset_1(k1_numbers, C)=A &  (k1_relset_1(k1_numbers, D)=A &  (k1_relset_1(k1_numbers, E)=A &  (r2_relset_1(k1_numbers, k1_numbers, E, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D)) &  (r1_integr22(A, B, C) & r1_integr22(A, B, D)) ) ) ) ) )  =>  (r1_integr22(A, B, E) & k5_integr22(A, B, E)=k6_xcmplx_0(k5_integr22(A, B, C), k5_integr22(A, B, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_integr22, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  ( (r1_tarski(B, A) & r2_funct_2(A, k1_numbers, D, k26_valued_1(A, k1_numbers, E, C)))  => k1_integr22(B, D)=k3_xcmplx_0(C, k1_integr22(B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_integr22, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v1_integr22(C, A) &  (v1_integr22(D, A) &  (k1_relset_1(k1_numbers, E)=A &  (r2_funct_2(A, k1_numbers, C, k26_valued_1(A, k1_numbers, D, B)) & r1_integr22(A, D, E)) ) ) )  =>  (r1_integr22(A, C, E) & k5_integr22(A, C, E)=k3_xcmplx_0(B, k5_integr22(A, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_integr22, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v1_integr22(B, A) &  (v1_integr22(C, A) &  (k1_relset_1(k1_numbers, D)=A &  (r2_funct_2(A, k1_numbers, B, k32_valued_1(A, k1_numbers, C)) & r1_integr22(A, C, D)) ) ) )  =>  (r1_integr22(A, B, D) & k5_integr22(A, B, D)=k4_xcmplx_0(k5_integr22(A, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t14_integr22, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  ( (r1_tarski(B, A) & r2_funct_2(A, k1_numbers, C, k3_valued_1(A, k1_numbers, k1_numbers, D, E)))  => k1_integr22(B, C)=k2_xcmplx_0(k1_integr22(B, D), k1_integr22(B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_integr22, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v1_integr22(B, A) &  (v1_integr22(C, A) &  (v1_integr22(D, A) &  (k1_relset_1(k1_numbers, E)=A &  (r2_funct_2(A, k1_numbers, B, k3_valued_1(A, k1_numbers, k1_numbers, C, D)) &  (r1_integr22(A, C, E) & r1_integr22(A, D, E)) ) ) ) ) )  =>  (r1_integr22(A, B, E) & k5_integr22(A, B, E)=k2_xcmplx_0(k5_integr22(A, C, E), k5_integr22(A, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_integr22, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  ( (r1_tarski(B, A) & r2_funct_2(A, k1_numbers, C, k47_valued_1(A, k1_numbers, k1_numbers, D, E)))  => k1_integr22(B, C)=k6_xcmplx_0(k1_integr22(B, D), k1_integr22(B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_integr22, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v1_integr22(B, A) &  (v1_integr22(C, A) &  (v1_integr22(D, A) &  (k1_relset_1(k1_numbers, E)=A &  (r2_funct_2(A, k1_numbers, B, k47_valued_1(A, k1_numbers, k1_numbers, C, D)) &  (r1_integr22(A, C, E) & r1_integr22(A, D, E)) ) ) ) ) )  =>  (r1_integr22(A, B, E) & k5_integr22(A, B, E)=k6_xcmplx_0(k5_integr22(A, C, E), k5_integr22(A, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_integr22, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) &  (v1_relat_1(B) &  (v1_funct_1(B) & v3_valued_0(B)) ) )  => v1_xreal_0(k1_integr22(A, B))) ) ).
fof(dt_m1_integr22, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_valued_0(B)) )  & m1_integra1(C, A)) )  =>  (! [D] :  (m1_integr22(D, A, B, C) => m2_finseq_1(D, k1_numbers)) ) ) ) ).
fof(existence_m1_integr22, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_valued_0(B)) )  & m1_integra1(C, A)) )  =>  (? [D] : m1_integr22(D, A, B, C)) ) ) ).
fof(dt_k2_integr22, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => v1_xreal_0(k2_integr22(A, B))) ) ).
fof(dt_m2_integr22, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  & m1_integra1(D, A)) ) )  =>  (! [E] :  (m2_integr22(E, A, B, C, D) => m2_finseq_1(E, k1_numbers)) ) ) ) ).
fof(existence_m2_integr22, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  & m1_integra1(D, A)) ) )  =>  (? [E] : m2_integr22(E, A, B, C, D)) ) ) ).
fof(dt_m3_integr22, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_integra1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) ) ) ) )  =>  (! [E] :  (m3_integr22(E, A, B, C, D) =>  (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k3_finseq_2(k1_numbers)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k3_finseq_2(k1_numbers))))) ) ) ) ) ) ).
fof(existence_m3_integr22, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_integra1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) ) ) ) )  =>  (? [E] : m3_integr22(E, A, B, C, D)) ) ) ).
fof(dt_k3_integr22, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_integra1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  &  (m3_integr22(E, A, B, C, D) & v7_ordinal1(F)) ) ) ) )  => m2_integr22(k3_integr22(A, B, C, D, E, F), A, B, C, k2_integra2(A, D, F))) ) ).
fof(redefinition_k3_integr22, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_integra1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  &  (m3_integr22(E, A, B, C, D) & v7_ordinal1(F)) ) ) ) )  => k3_integr22(A, B, C, D, E, F)=k1_funct_1(E, F)) ) ).
fof(dt_k4_integr22, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_integra1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  & m3_integr22(E, A, B, C, D)) ) ) )  =>  (v1_funct_1(k4_integr22(A, B, C, D, E)) &  (v1_funct_2(k4_integr22(A, B, C, D, E), k4_ordinal1, k1_numbers) & m1_subset_1(k4_integr22(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k5_integr22, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  => v1_xreal_0(k5_integr22(A, B, C))) ) ).
fof(d4_integr22, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_integr22(B, A) =>  (! [C] :  (v1_xreal_0(C) =>  (C=k2_integr22(A, B) <=>  (? [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  &  (v4_xxreal_2(D) &  (D=a_2_0_integr22(A, B) & C=k2_seq_4(D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_integr22, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) ) )  =>  (r2_hidden(A, a_2_0_integr22(B, C)) <=>  (? [D] :  (v1_xreal_0(D) &  (A=D &  (? [E] :  (m1_integra1(E, B) &  (? [F] :  (m1_integr22(F, B, C, E) & D=k18_rvsum_1(F)) ) ) ) ) ) ) ) ) ) ).
fof(t1_integr23, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  ( (k3_finseq_1(C)=k3_finseq_1(B) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(D, k4_finseq_1(C)) &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (E=k1_funct_1(B, D) & k1_funct_1(C, D)=k3_xcmplx_0(E, A)) ) ) ) ) ) ) ) )  => k18_rvsum_1(C)=k3_xcmplx_0(k18_rvsum_1(B), A)) ) ) ) ) ) ) ).
fof(t2_integr23, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  ( (k3_finseq_1(A)=k3_finseq_1(B) &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ ( (r2_tarski(C, k4_finseq_1(A)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( (D=k1_funct_1(A, C) & k1_funct_1(B, C)=k9_complex1(D)) ) ) ) ) ) ) ) )  => r1_xxreal_0(k9_complex1(k18_rvsum_1(A)), k18_rvsum_1(B))) ) ) ) ) ).
fof(t3_integr23, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  ( (k3_finseq_1(A)=k3_finseq_1(B) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(A)) => r1_xxreal_0(k9_complex1(k1_funct_1(A, C)), k1_funct_1(B, C))) ) ) )  => r1_xxreal_0(k9_complex1(k18_rvsum_1(A)), k18_rvsum_1(B))) ) ) ) ) ).
fof(t4_integr23, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] : k3_finseq_1(k2_finseq_2(A, B))=A) ) ) ).
fof(t5_integr23, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (A=k2_finseq_2(k3_finseq_1(A), B) <=>  (! [C] :  (r2_hidden(C, k4_finseq_1(A)) => k1_funct_1(A, C)=B) ) ) ) ) ) ).
fof(t6_integr23, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r2_tarski(B, k4_finseq_1(A)) &  (k1_funct_1(A, B)=C &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(A)) =>  (D=B | k1_funct_1(A, D)=k5_numbers) ) ) ) ) )  => k18_rvsum_1(A)=C) ) ) ) ) ) ) ).
fof(t7_integr23, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  ( (r1_xxreal_0(k3_finseq_1(A), k3_finseq_1(B)) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) =>  ( (r1_xxreal_0(C, k3_finseq_1(A)) => k1_funct_1(B, C)=k1_funct_1(A, C))  &  ( ~ (r1_xxreal_0(C, k3_finseq_1(A)))  => k1_funct_1(B, C)=k5_numbers) ) ) ) ) )  => k18_rvsum_1(B)=k18_rvsum_1(A)) ) ) ) ) ).
fof(t8_integr23, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (r1_xxreal_0(B, C) => r1_tarski(k9_subset_1(k1_numbers, k1_rcomp_1(A, B), k1_rcomp_1(C, D)), k1_rcomp_1(B, B))) ) ) ) ) ) ) ) ) ).
fof(t9_integr23, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v3_valued_0(C)) )  =>  (r1_tarski(B, k1_rcomp_1(A, A)) => k1_integr22(B, C)=k5_numbers) ) ) ) ) ) ) ).
fof(t10_integr23, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v5_valued_0(A) & m2_finseq_1(A, k1_numbers)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k4_finseq_1(A)) =>  ( ~ (v1_xboole_0(k17_finseq_1(k1_numbers, B, A)))  &  (v5_valued_0(k17_finseq_1(k1_numbers, B, A)) & m2_finseq_1(k17_finseq_1(k1_numbers, B, A), k1_numbers)) ) ) ) ) ) ) ).
fof(t11_integr23, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v5_valued_0(A) & m2_finseq_1(A, k1_numbers)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v5_valued_0(B) & m2_finseq_1(B, k1_numbers)) )  =>  ( ~ (r1_xxreal_0(k1_funct_1(B, 1), k1_funct_1(A, k3_finseq_1(A))))  =>  ( ~ (v1_xboole_0(k8_finseq_1(k1_numbers, A, B)))  &  (v5_valued_0(k8_finseq_1(k1_numbers, A, B)) & m2_finseq_1(k8_finseq_1(k1_numbers, A, B), k1_numbers)) ) ) ) ) ) ) ).
fof(t12_integr23, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v5_valued_0(A) & m2_finseq_1(A, k1_numbers)) )  =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(B, k1_funct_1(A, k3_finseq_1(A))))  =>  ( ~ (v1_xboole_0(k7_finseq_1(A, k9_finseq_1(B))))  &  (v5_valued_0(k7_finseq_1(A, k9_finseq_1(B))) & m2_finseq_1(k7_finseq_1(A, k9_finseq_1(B)), k1_numbers)) ) ) ) ) ) ) ).
fof(t13_integr23, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k1_nat_1(B, 1)))  &  (r1_xxreal_0(C, k3_finseq_1(A)) &  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  ~ ( (k3_finseq_1(D)=k6_xcmplx_0(C, k1_nat_1(B, 1)) &  (r1_tarski(k1_rvsum_1(D), k1_rvsum_1(A)) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) => k1_funct_1(D, E)=k1_funct_1(A, k2_xcmplx_0(E, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_integr23, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v5_valued_0(A) & m2_finseq_1(A, k1_numbers)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k1_nat_1(B, 1)))  &  (r1_xxreal_0(C, k3_finseq_1(A)) &  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v5_valued_0(D) & m2_finseq_1(D, k1_numbers)) )  =>  ~ ( (k3_finseq_1(D)=k6_xcmplx_0(C, k1_nat_1(B, 1)) &  (r1_tarski(k1_rvsum_1(D), k1_rvsum_1(A)) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) => k1_funct_1(D, E)=k1_funct_1(A, k2_xcmplx_0(E, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_integr23, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k1_nat_1(B, 1)))  &  (r1_xxreal_0(C, k3_finseq_1(A)) &  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  ~ ( (k3_finseq_1(D)=k6_xcmplx_0(k6_xcmplx_0(C, k1_nat_1(B, 1)), 1) &  (r1_tarski(k1_rvsum_1(D), k1_rvsum_1(A)) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) => k1_funct_1(D, E)=k1_funct_1(A, k1_nat_1(k2_xcmplx_0(E, B), 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_integr23, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v3_valued_0(C)) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v2_measure5(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers))) )  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v5_valued_0(E) & m2_finseq_1(E, k1_numbers)) )  =>  (! [F] :  (m2_finseq_1(F, k1_numbers) =>  ~ ( (r1_tarski(D, A) &  (k3_seq_4(D)=k3_seq_4(A) &  ( (? [G] :  (m1_integra1(G, D) &  (G=E &  (k3_finseq_1(F)=k3_finseq_1(G) &  (! [H] :  (v7_ordinal1(H) =>  ~ ( (r2_tarski(H, k4_finseq_1(G)) &  (! [I] :  (m2_finseq_1(I, k1_numbers) =>  ~ ( (k1_funct_1(F, H)=k18_rvsum_1(I) &  (k3_finseq_1(I)=k3_finseq_1(B) &  (! [J] :  (v7_ordinal1(J) =>  (r2_tarski(J, k4_finseq_1(B)) => k1_funct_1(I, J)=k9_complex1(k1_integr22(k9_subset_1(k1_numbers, k2_integra1(A, B, J), k2_integra1(D, G, H)), C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (! [G] :  (m1_integra1(G, D) =>  (! [H] :  (m1_integr22(H, D, C, G) =>  ~ (k18_rvsum_1(F)=k18_rvsum_1(H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_integr23, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  (m1_integra1(C, A) =>  (! [D] :  (m1_integra1(D, A) =>  ~ ( (v1_integr22(B, A) &  (! [E] :  (m2_finseq_1(E, k1_numbers) =>  ~ ( (k3_finseq_1(E)=k3_finseq_1(D) &  (r1_xxreal_0(k18_rvsum_1(E), k2_integr22(A, B)) &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r2_tarski(F, k4_finseq_1(D)) &  (! [G] :  (m2_finseq_1(G, k1_numbers) =>  ~ ( (k1_funct_1(E, F)=k18_rvsum_1(G) &  (k3_finseq_1(G)=k3_finseq_1(C) &  (! [H] :  (v7_ordinal1(H) =>  (r2_tarski(H, k4_finseq_1(C)) => k1_funct_1(G, H)=k9_complex1(k1_integr22(k9_subset_1(k1_numbers, k2_integra1(A, C, H), k2_integra1(A, D, F)), B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_integr23, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v1_integr22(B, A) &  (k1_relset_1(k1_numbers, C)=A & v1_fcont_2(k2_partfun1(k1_numbers, k1_numbers, C, A))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_integra1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  =>  (! [E] :  (m3_integr22(E, A, B, C, D) =>  ( (v2_comseq_2(k2_integra3(A, D)) & k1_seq_2(k2_integra3(A, D))=k5_numbers)  => v2_comseq_2(k4_integr22(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_integr23, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_integra1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_integra1(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k1_integra1(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  =>  (! [G] :  (m3_integr22(G, A, B, C, D) =>  (! [H] :  (m3_integr22(H, A, B, C, E) =>  ~ ( ( (! [I] :  (v7_ordinal1(I) =>  (k2_integra2(A, F, k3_xcmplx_0(2, I))=k2_integra2(A, D, I) & k2_integra2(A, F, k1_nat_1(k3_xcmplx_0(2, I), 1))=k2_integra2(A, E, I)) ) )  &  (! [I] :  (m3_integr22(I, A, B, C, F) =>  ~ ( (! [J] :  (v7_ordinal1(J) =>  (k3_integr22(A, B, C, F, I, k3_xcmplx_0(2, J))=k3_integr22(A, B, C, D, G, J) & k3_integr22(A, B, C, F, I, k1_nat_1(k3_xcmplx_0(2, J), 1))=k3_integr22(A, B, C, E, H, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_integr23, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_comseq_2(C) &  (! [D] :  (v7_ordinal1(D) =>  (k8_nat_1(k1_numbers, C, k3_xcmplx_0(2, D))=k8_nat_1(k1_numbers, A, D) & k8_nat_1(k1_numbers, C, k1_nat_1(k3_xcmplx_0(2, D), 1))=k8_nat_1(k1_numbers, B, D)) ) ) )  =>  (v2_comseq_2(A) &  (k1_seq_2(A)=k1_seq_2(C) &  (v2_comseq_2(B) & k1_seq_2(B)=k1_seq_2(C)) ) ) ) ) ) ) ) ) ) ).
fof(t21_integr23, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_fcont_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (v1_integr22(B, A) & k1_relset_1(k1_numbers, C)=A)  => r1_integr22(A, B, C)) ) ) ) ) ) ) ).
fof(cc1_integra1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (v2_measure5(A) => v1_rcomp_1(A)) ) ) ).
fof(cc2_integra1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  ( ( ~ (v1_xboole_0(A))  & v2_measure5(A))  => v5_xxreal_2(A)) ) ) ).
fof(fc1_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  ~ (v1_xboole_0(k1_integra1(A))) ) ) ).
fof(cc3_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_subset_1(B, k1_integra1(A)) =>  (v1_relat_1(B) & v1_funct_1(B)) ) ) ) ) ).
fof(cc4_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_subset_1(B, k1_integra1(A)) =>  (v1_finseq_1(B) & v3_valued_0(B)) ) ) ) ) ).
fof(fc2_integra1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  & m1_integra1(C, A)) )  =>  ~ (v1_xboole_0(k4_integra1(A, B, C))) ) ) ).
fof(fc3_integra1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  & m1_integra1(C, A)) )  =>  ~ (v1_xboole_0(k5_integra1(A, B, C))) ) ) ).
fof(t3_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (v3_xxreal_2(A) & v4_xxreal_2(A)) ) ) ).
fof(t4_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  => A=k1_rcomp_1(k3_seq_4(A), k2_seq_4(A))) ) ).
fof(t5_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ( (A=k1_rcomp_1(B, D) & A=k1_rcomp_1(C, E))  =>  (B=C & D=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v5_valued_0(B) & m2_finseq_1(B, k1_numbers)) )  =>  (m1_integra1(B, A) <=>  (r1_tarski(k1_rvsum_1(B), A) & k1_funct_1(B, k3_finseq_1(B))=k2_seq_4(A)) ) ) ) ) ) ).
fof(d3_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (B=k1_integra1(A) <=>  (! [C] :  (r2_tarski(C, B) <=> m1_integra1(C, A)) ) ) ) ) ) ).
fof(t6_integra1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  (m1_integra1(C, B) =>  (r2_tarski(A, k4_finseq_1(C)) => r2_tarski(k1_funct_1(C, A), B)) ) ) ) ) ) ) ).
fof(t7_integra1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  (m1_integra1(C, B) =>  (r2_tarski(A, k4_finseq_1(C)) =>  (A=1 |  (r2_tarski(k6_xcmplx_0(A, 1), k4_finseq_1(C)) &  (r2_tarski(k1_funct_1(C, k6_xcmplx_0(A, 1)), B) & r2_tarski(k6_xcmplx_0(A, 1), k4_ordinal1)) ) ) ) ) ) ) ) ) ) ).
fof(d4_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v2_measure5(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers))) )  =>  ( (C=1 =>  (D=k2_integra1(A, B, C) <=>  (k3_seq_4(D)=k3_seq_4(A) & k2_seq_4(D)=k1_funct_1(B, C)) ) )  &  ( ~ (C=1)  =>  (D=k2_integra1(A, B, C) <=>  (k3_seq_4(D)=k1_funct_1(B, k6_xcmplx_0(C, 1)) & k2_seq_4(D)=k1_funct_1(B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_integra1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  (m1_integra1(C, B) =>  (r2_tarski(A, k4_finseq_1(C)) => r1_tarski(k2_integra1(B, C, A), B)) ) ) ) ) ) ) ).
fof(d5_integra1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) => k3_integra1(A)=k6_xcmplx_0(k2_seq_4(A), k3_seq_4(A))) ) ).
fof(t9_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v5_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  => r1_xxreal_0(k5_numbers, k3_integra1(A))) ) ).
fof(d6_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (m1_integra1(C, A) =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  (D=k4_integra1(A, B, C) <=>  (k3_finseq_1(D)=k3_finseq_1(C) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(C)) => k1_funct_1(D, E)=k3_xcmplx_0(k2_seq_4(k1_rvsum_1(k2_partfun1(A, k1_numbers, B, k2_integra1(A, C, E)))), k3_integra1(k2_integra1(A, C, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (m1_integra1(C, A) =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  (D=k5_integra1(A, B, C) <=>  (k3_finseq_1(D)=k3_finseq_1(C) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(C)) => k1_funct_1(D, E)=k3_xcmplx_0(k3_seq_4(k1_rvsum_1(k2_partfun1(A, k1_numbers, B, k2_integra1(A, C, E)))), k3_integra1(k2_integra1(A, C, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (m1_integra1(C, A) => k6_integra1(A, B, C)=k18_rvsum_1(k4_integra1(A, B, C))) ) ) ) ) ) ).
fof(d9_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (m1_integra1(C, A) => k7_integra1(A, B, C)=k18_rvsum_1(k5_integra1(A, B, C))) ) ) ) ) ) ).
fof(d10_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_integra1(A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_integra1(A), k1_numbers)))) )  =>  (C=k8_integra1(A, B) <=>  (! [D] :  (m1_integra1(D, A) => k1_funct_1(C, D)=k6_integra1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d11_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_integra1(A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_integra1(A), k1_numbers)))) )  =>  (C=k9_integra1(A, B) <=>  (! [D] :  (m1_integra1(D, A) => k1_funct_1(C, D)=k7_integra1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d12_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (v1_integra1(B, A) <=> v3_xxreal_2(k1_rvsum_1(k8_integra1(A, B)))) ) ) ) ) ).
fof(d13_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (v2_integra1(B, A) <=> v4_xxreal_2(k1_rvsum_1(k9_integra1(A, B)))) ) ) ) ) ).
fof(d14_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  => k10_integra1(A, B)=k3_seq_4(k1_rvsum_1(k8_integra1(A, B)))) ) ) ) ).
fof(d15_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  => k11_integra1(A, B)=k2_seq_4(k1_rvsum_1(k9_integra1(A, B)))) ) ) ) ).
fof(d16_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (v3_integra1(B, A) <=>  (v1_integra1(B, A) &  (v2_integra1(B, A) & k10_integra1(A, B)=k11_integra1(A, B)) ) ) ) ) ) ) ).
fof(d17_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  => k12_integra1(A, B)=k10_integra1(A, B)) ) ) ) ).
fof(t10_integra1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  => r1_tarski(k1_rvsum_1(k3_valued_1(A, k1_numbers, k1_numbers, B, C)), k9_member_1(k1_rvsum_1(B), k1_rvsum_1(C)))) ) ) ) ) ) ).
fof(t11_integra1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  =>  (v2_seq_2(A) => v3_xxreal_2(k1_rvsum_1(A))) ) ) ).
fof(t12_integra1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  =>  (v3_xxreal_2(k1_rvsum_1(A)) => v2_seq_2(A)) ) ) ).
fof(t13_integra1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  =>  (v1_seq_2(A) => v4_xxreal_2(k1_rvsum_1(A))) ) ) ).
fof(t14_integra1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  =>  (v4_xxreal_2(k1_rvsum_1(A)) => v1_seq_2(A)) ) ) ).
fof(t15_integra1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  =>  (v1_comseq_2(A) => v5_xxreal_2(k1_rvsum_1(A))) ) ) ).
fof(t16_integra1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => v3_funct_1(k2_partfun1(A, k1_numbers, k7_rfunct_1(A, A), A))) ) ).
fof(t17_integra1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A)))  => k1_rvsum_1(k7_rfunct_1(B, B))=k1_seq_4(1)) ) ) ) ).
fof(t18_integra1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A)))  =>  (! [C] :  ( ~ (r1_xboole_0(C, k1_relset_1(B, k7_rfunct_1(B, B))))  => k1_rvsum_1(k2_partfun1(B, k1_numbers, k7_rfunct_1(B, B), C))=k1_seq_4(1)) ) ) ) ) ) ).
fof(t19_integra1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  (m1_integra1(C, B) =>  (r2_tarski(A, k4_finseq_1(C)) => k3_integra1(k2_integra1(B, C, A))=k1_funct_1(k5_integra1(B, k7_rfunct_1(B, B), C), A)) ) ) ) ) ) ) ).
fof(t20_integra1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  (m1_integra1(C, B) =>  (r2_tarski(A, k4_finseq_1(C)) => k3_integra1(k2_integra1(B, C, A))=k1_funct_1(k4_integra1(B, k7_rfunct_1(B, B), C), A)) ) ) ) ) ) ) ).
fof(t21_integra1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  ( (k3_finseq_1(A)=k3_finseq_1(B) &  (k3_finseq_1(A)=k3_finseq_1(C) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r2_tarski(D, k4_finseq_1(A)) => k1_funct_1(C, D)=k3_real_1(k7_partfun1(k1_numbers, A, D), k7_partfun1(k1_numbers, B, D))) ) ) ) )  => k18_rvsum_1(C)=k2_xcmplx_0(k18_rvsum_1(A), k18_rvsum_1(B))) ) ) ) ) ) ) ).
fof(t22_integra1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  ( (k3_finseq_1(A)=k3_finseq_1(B) &  (k3_finseq_1(A)=k3_finseq_1(C) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r2_tarski(D, k4_finseq_1(A)) => k1_funct_1(C, D)=k5_real_1(k7_partfun1(k1_numbers, A, D), k7_partfun1(k1_numbers, B, D))) ) ) ) )  => k18_rvsum_1(C)=k6_xcmplx_0(k18_rvsum_1(A), k18_rvsum_1(B))) ) ) ) ) ) ) ).
fof(t23_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) => k18_rvsum_1(k5_integra1(A, k7_rfunct_1(A, A), B))=k3_integra1(A)) ) ) ) ).
fof(t24_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) => k18_rvsum_1(k4_integra1(A, k7_rfunct_1(A, A), B))=k3_integra1(A)) ) ) ) ).
fof(t25_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v2_seq_2(k2_partfun1(A, k1_numbers, C, A)) => r1_xxreal_0(k3_xcmplx_0(k3_seq_4(k1_rvsum_1(C)), k3_integra1(A)), k7_integra1(A, C, B))) ) ) ) ) ) ) ).
fof(t26_integra1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  (m1_integra1(C, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  ( (v1_seq_2(k2_partfun1(B, k1_numbers, D, B)) & r2_tarski(A, k4_finseq_1(C)))  => r1_xxreal_0(k3_xcmplx_0(k2_seq_4(k1_rvsum_1(k2_partfun1(B, k1_numbers, D, k2_integra1(B, C, A)))), k3_integra1(k2_integra1(B, C, A))), k3_xcmplx_0(k2_seq_4(k1_rvsum_1(D)), k3_integra1(k2_integra1(B, C, A))))) ) ) ) ) ) ) ) ) ).
fof(t27_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_seq_2(k2_partfun1(A, k1_numbers, C, A)) => r1_xxreal_0(k6_integra1(A, C, B), k3_xcmplx_0(k2_seq_4(k1_rvsum_1(C)), k3_integra1(A)))) ) ) ) ) ) ) ).
fof(t28_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_comseq_2(k2_partfun1(A, k1_numbers, C, A)) => r1_xxreal_0(k7_integra1(A, C, B), k6_integra1(A, C, B))) ) ) ) ) ) ) ).
fof(d18_integra1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r1_integra1(A, B) <=>  (r1_xxreal_0(k3_finseq_1(A), k3_finseq_1(B)) & r1_tarski(k10_xtuple_0(A), k10_xtuple_0(B))) ) ) ) ) ) ).
fof(t29_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  (m1_integra1(C, A) =>  (k3_finseq_1(B)=1 => r1_integra1(B, C)) ) ) ) ) ) ) ).
fof(t30_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  (m1_integra1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  ( (v1_seq_2(k2_partfun1(A, k1_numbers, D, A)) & k3_finseq_1(B)=1)  => r1_xxreal_0(k6_integra1(A, D, C), k6_integra1(A, D, B))) ) ) ) ) ) ) ) ) ).
fof(t31_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  (m1_integra1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  ( (v2_seq_2(k2_partfun1(A, k1_numbers, D, A)) & k3_finseq_1(B)=1)  => r1_xxreal_0(k7_integra1(A, D, B), k7_integra1(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t32_integra1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  (m1_integra1(C, B) =>  ~ ( (r2_tarski(A, k4_finseq_1(C)) &  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v2_measure5(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers))) )  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v2_measure5(E) & m1_subset_1(E, k1_zfmisc_1(k1_numbers))) )  =>  ~ ( (D=k1_rcomp_1(k3_seq_4(B), k1_funct_1(C, A)) &  (E=k1_rcomp_1(k1_funct_1(C, A), k2_seq_4(B)) & B=k4_subset_1(k1_numbers, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_integra1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  (m1_integra1(C, B) =>  (! [D] :  (m1_integra1(D, B) =>  ~ ( (r2_tarski(A, k4_finseq_1(C)) &  (r1_integra1(C, D) &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ~ ( (r2_tarski(E, k4_finseq_1(D)) & k1_funct_1(C, A)=k1_funct_1(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  (m1_integra1(C, A) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_integra1(B, C) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( (r2_tarski(D, k4_finseq_1(B)) =>  (E=k13_integra1(A, B, C, D) <=>  (r2_tarski(E, k4_finseq_1(C)) & k1_funct_1(B, D)=k1_funct_1(C, E)) ) )  &  ( ~ (r2_tarski(D, k4_finseq_1(B)))  =>  (E=k13_integra1(A, B, C, D) <=> E=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_integra1, axiom,  (! [A] :  ( (v5_valued_0(A) & m2_finseq_1(A, k1_numbers))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (r1_xxreal_0(B, k3_finseq_1(A)) =>  (v5_valued_0(k2_rfinseq(k1_numbers, B, A)) & m2_finseq_1(k2_rfinseq(k1_numbers, B, A), k1_numbers)) ) ) ) ) ) ).
fof(t35_integra1, axiom,  (! [A] :  ( (v5_valued_0(A) & m2_finseq_1(A, k1_numbers))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (r2_tarski(C, k4_finseq_1(A)) & r1_xxreal_0(B, C))  =>  (v5_valued_0(k3_finseq_6(k1_numbers, A, B, C)) & m2_finseq_1(k3_finseq_6(k1_numbers, A, B, C), k1_numbers)) ) ) ) ) ) ) ) ).
fof(t36_integra1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  (! [D] :  (m1_integra1(D, C) =>  ~ ( (r2_tarski(A, k4_finseq_1(D)) &  (r2_tarski(B, k4_finseq_1(D)) &  (r1_xxreal_0(A, B) &  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v2_measure5(E) & m1_subset_1(E, k1_zfmisc_1(k1_numbers))) )  =>  ~ ( (k3_seq_4(E)=k1_funct_1(k3_finseq_6(k1_numbers, D, A, B), 1) &  (k2_seq_4(E)=k1_funct_1(k3_finseq_6(k1_numbers, D, A, B), k3_finseq_1(k3_finseq_6(k1_numbers, D, A, B))) & m1_integra1(k3_finseq_6(k1_numbers, D, A, B), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_integra1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v2_measure5(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers))) )  =>  (! [E] :  (m1_integra1(E, C) =>  ( (r2_tarski(A, k4_finseq_1(E)) &  (r2_tarski(B, k4_finseq_1(E)) &  (r1_xxreal_0(A, B) &  (r1_xxreal_0(k3_seq_4(D), k1_funct_1(E, A)) & k1_funct_1(E, B)=k2_seq_4(D)) ) ) )  => m1_integra1(k3_finseq_6(k1_numbers, E, A, B), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d20_integra1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (B=k14_integra1(A) <=>  (k3_finseq_1(B)=k3_finseq_1(A) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(A)) => k1_funct_1(B, C)=k18_rvsum_1(k17_finseq_1(k1_numbers, C, A))) ) ) ) ) ) ) ) ) ).
fof(t38_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  (m1_integra1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  ( (r1_integra1(B, C) & v1_seq_2(k2_partfun1(A, k1_numbers, D, A)))  =>  (! [E] :  ( ( ~ (v8_ordinal1(E))  & m1_subset_1(E, k4_ordinal1))  =>  (r2_tarski(E, k4_finseq_1(B)) => r1_xxreal_0(k18_rvsum_1(k17_finseq_1(k1_numbers, k13_integra1(A, B, C, E), k4_integra1(A, D, C))), k18_rvsum_1(k17_finseq_1(k1_numbers, E, k4_integra1(A, D, B))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  (m1_integra1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  ( (r1_integra1(B, C) & v2_seq_2(k2_partfun1(A, k1_numbers, D, A)))  =>  (! [E] :  ( ( ~ (v8_ordinal1(E))  & m1_subset_1(E, k4_ordinal1))  =>  (r2_tarski(E, k4_finseq_1(B)) => r1_xxreal_0(k18_rvsum_1(k17_finseq_1(k1_numbers, E, k5_integra1(A, D, B))), k18_rvsum_1(k17_finseq_1(k1_numbers, k13_integra1(A, B, C, E), k5_integra1(A, D, C))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_integra1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  (m1_integra1(C, B) =>  (! [D] :  (m1_integra1(D, B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  ( (r1_integra1(C, D) &  (r2_tarski(A, k4_finseq_1(C)) & v1_seq_2(k2_partfun1(B, k1_numbers, E, B))) )  => r1_xxreal_0(k1_funct_1(k14_integra1(k4_integra1(B, E, D)), k13_integra1(B, C, D, A)), k1_funct_1(k14_integra1(k4_integra1(B, E, C)), A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_integra1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  (m1_integra1(C, B) =>  (! [D] :  (m1_integra1(D, B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  ( (r1_integra1(C, D) &  (r2_tarski(A, k4_finseq_1(C)) & v2_seq_2(k2_partfun1(B, k1_numbers, E, B))) )  => r1_xxreal_0(k1_funct_1(k14_integra1(k5_integra1(B, E, C)), A), k1_funct_1(k14_integra1(k5_integra1(B, E, D)), k13_integra1(B, C, D, A)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  => k1_funct_1(k14_integra1(k4_integra1(A, C, B)), k3_finseq_1(B))=k6_integra1(A, C, B)) ) ) ) ) ) ).
fof(t43_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  => k1_funct_1(k14_integra1(k5_integra1(A, C, B)), k3_finseq_1(B))=k7_integra1(A, C, B)) ) ) ) ) ) ).
fof(t44_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  (m1_integra1(C, A) =>  (r1_integra1(B, C) => k13_integra1(A, B, C, k3_finseq_1(B))=k3_finseq_1(C)) ) ) ) ) ) ) ).
fof(t45_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  (m1_integra1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  ( (r1_integra1(B, C) & v1_seq_2(k2_partfun1(A, k1_numbers, D, A)))  => r1_xxreal_0(k6_integra1(A, D, C), k6_integra1(A, D, B))) ) ) ) ) ) ) ) ) ).
fof(t46_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  (m1_integra1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  ( (r1_integra1(B, C) & v2_seq_2(k2_partfun1(A, k1_numbers, D, A)))  => r1_xxreal_0(k7_integra1(A, D, B), k7_integra1(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t47_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  (m1_integra1(C, A) =>  (? [D] :  (m1_integra1(D, A) &  (r1_integra1(B, D) & r1_integra1(C, D)) ) ) ) ) ) ) ) ) ).
fof(t48_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  (m1_integra1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_comseq_2(k2_partfun1(A, k1_numbers, D, A)) => r1_xxreal_0(k7_integra1(A, D, B), k6_integra1(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t49_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_comseq_2(k2_partfun1(A, k1_numbers, B, A)) => r1_xxreal_0(k11_integra1(A, B), k10_integra1(A, B))) ) ) ) ) ).
fof(t50_integra1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) => k9_member_1(k3_measure6(A), k3_measure6(B))=k5_member_1(k9_member_1(A, B))) ) ) ) ).
fof(t51_integra1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  ( (v4_xxreal_2(A) & v4_xxreal_2(B))  => v4_xxreal_2(k9_member_1(A, B))) ) ) ) ) ).
fof(t52_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  ( (v4_xxreal_2(A) & v4_xxreal_2(B))  => k2_seq_4(k9_member_1(A, B))=k2_xcmplx_0(k2_seq_4(A), k2_seq_4(B))) ) ) ) ) ).
fof(t53_integra1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  (m1_integra1(C, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  ( (r2_tarski(A, k4_finseq_1(C)) &  (v1_seq_2(k2_partfun1(B, k1_numbers, D, B)) & v1_seq_2(k2_partfun1(B, k1_numbers, E, B))) )  => r1_xxreal_0(k1_funct_1(k4_integra1(B, k3_valued_1(B, k1_numbers, k1_numbers, D, E), C), A), k2_xcmplx_0(k1_funct_1(k4_integra1(B, D, C), A), k1_funct_1(k4_integra1(B, E, C), A)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_integra1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  (m1_integra1(C, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  ( (r2_tarski(A, k4_finseq_1(C)) &  (v2_seq_2(k2_partfun1(B, k1_numbers, D, B)) & v2_seq_2(k2_partfun1(B, k1_numbers, E, B))) )  => r1_xxreal_0(k2_xcmplx_0(k1_funct_1(k5_integra1(B, D, C), A), k1_funct_1(k5_integra1(B, E, C), A)), k1_funct_1(k5_integra1(B, k3_valued_1(B, k1_numbers, k1_numbers, D, E), C), A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  ( (v1_seq_2(k2_partfun1(A, k1_numbers, C, A)) & v1_seq_2(k2_partfun1(A, k1_numbers, D, A)))  => r1_xxreal_0(k6_integra1(A, k3_valued_1(A, k1_numbers, k1_numbers, C, D), B), k2_xcmplx_0(k6_integra1(A, C, B), k6_integra1(A, D, B)))) ) ) ) ) ) ) ) ) ).
fof(t56_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  ( (v2_seq_2(k2_partfun1(A, k1_numbers, C, A)) & v2_seq_2(k2_partfun1(A, k1_numbers, D, A)))  => r1_xxreal_0(k2_xcmplx_0(k7_integra1(A, C, B), k7_integra1(A, D, B)), k7_integra1(A, k3_valued_1(A, k1_numbers, k1_numbers, C, D), B))) ) ) ) ) ) ) ) ) ).
fof(t57_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  ( (v1_comseq_2(k2_partfun1(A, k1_numbers, B, A)) &  (v1_comseq_2(k2_partfun1(A, k1_numbers, C, A)) &  (v3_integra1(B, A) & v3_integra1(C, A)) ) )  =>  (v3_integra1(k3_valued_1(A, k1_numbers, k1_numbers, B, C), A) & k12_integra1(A, k3_valued_1(A, k1_numbers, k1_numbers, B, C))=k2_xcmplx_0(k12_integra1(A, B), k12_integra1(A, C))) ) ) ) ) ) ) ) ).
fof(t58_integra1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ( (r2_tarski(A, k4_finseq_1(C)) &  (r2_tarski(B, k4_finseq_1(C)) & r1_xxreal_0(A, B)) )  => k3_finseq_1(k2_finseq_6(C, A, B))=k2_xcmplx_0(k6_xcmplx_0(B, A), 1)) ) ) ) ) ) ) ).
fof(dt_m1_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  ( ~ (v1_xboole_0(B))  &  (v5_valued_0(B) & m2_finseq_1(B, k1_numbers)) ) ) ) ) ) ).
fof(existence_m1_integra1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (? [B] : m1_integra1(B, A)) ) ) ).
fof(dt_k2_integra1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  (m1_integra1(B, A) & v7_ordinal1(C)) )  =>  ( ~ (v1_xboole_0(k2_integra1(A, B, C)))  &  (v2_measure5(k2_integra1(A, B, C)) & m1_subset_1(k2_integra1(A, B, C), k1_zfmisc_1(k1_numbers))) ) ) ) ).
fof(dt_k3_integra1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) => v1_xreal_0(k3_integra1(A))) ) ).
fof(dt_k4_integra1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  & m1_integra1(C, A)) )  => m2_finseq_1(k4_integra1(A, B, C), k1_numbers)) ) ).
fof(dt_k5_integra1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  & m1_integra1(C, A)) )  => m2_finseq_1(k5_integra1(A, B, C), k1_numbers)) ) ).
fof(dt_k6_integra1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  & m1_integra1(C, A)) )  => v1_xreal_0(k6_integra1(A, B, C))) ) ).
fof(dt_k7_integra1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  & m1_integra1(C, A)) )  => v1_xreal_0(k7_integra1(A, B, C))) ) ).
fof(dt_k8_integra1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_funct_1(k8_integra1(A, B)) &  (v1_funct_2(k8_integra1(A, B), k1_integra1(A), k1_numbers) & m1_subset_1(k8_integra1(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_integra1(A), k1_numbers)))) ) ) ) ).
fof(dt_k9_integra1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_funct_1(k9_integra1(A, B)) &  (v1_funct_2(k9_integra1(A, B), k1_integra1(A), k1_numbers) & m1_subset_1(k9_integra1(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_integra1(A), k1_numbers)))) ) ) ) ).
fof(dt_k10_integra1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  => v1_xreal_0(k10_integra1(A, B))) ) ).
fof(dt_k11_integra1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  => v1_xreal_0(k11_integra1(A, B))) ) ).
fof(dt_k12_integra1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  => v1_xreal_0(k12_integra1(A, B))) ) ).
fof(reflexivity_r1_integra1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  => r1_integra1(A, A)) ) ).
fof(dt_k13_integra1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  (m1_integra1(B, A) &  (m1_integra1(C, A) & v7_ordinal1(D)) ) )  => m1_subset_1(k13_integra1(A, B, C, D), k4_ordinal1)) ) ).
fof(dt_k14_integra1, axiom,  (! [A] :  (m1_finseq_1(A, k1_numbers) => m2_finseq_1(k14_integra1(A), k1_numbers)) ) ).
fof(rc1_integra2, axiom,  (? [A] :  (m1_finseq_1(A, k1_numbers) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k1_numbers) &  (v1_funct_1(A) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) &  (v7_valued_0(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_integra2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) <=>  (r1_xxreal_0(k3_seq_4(A), B) & r1_xxreal_0(B, k2_seq_4(A))) ) ) ) ) ) ).
fof(d1_integra2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (v7_valued_0(A) <=>  (! [B] :  (v7_ordinal1(B) =>  ( (r2_tarski(B, k4_finseq_1(A)) & r2_tarski(k1_nat_1(B, 1), k4_finseq_1(A)))  => r1_xxreal_0(k1_funct_1(A, B), k1_funct_1(A, k1_nat_1(B, 1)))) ) ) ) ) ) ).
fof(t2_integra2, axiom,  (! [A] :  ( (v7_valued_0(A) & m2_finseq_1(A, k1_numbers))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r2_tarski(B, k4_finseq_1(A)) &  (r2_tarski(C, k4_finseq_1(A)) & r1_xxreal_0(B, C)) )  => r1_xxreal_0(k1_funct_1(A, B), k1_funct_1(A, C))) ) ) ) ) ) ) ).
fof(t3_integra2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (? [B] :  ( (v7_valued_0(B) & m2_finseq_1(B, k1_numbers))  & r2_classes1(A, B)) ) ) ) ).
fof(t4_integra2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(E, k3_finseq_1(B)) & r1_xxreal_0(C, D)) )  =>  (r1_xxreal_0(E, D) | k8_finseq_1(A, k3_finseq_6(A, B, C, D), k3_finseq_6(A, B, k1_nat_1(D, 1), E))=k3_finseq_6(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_integra2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (v1_seq_2(k2_partfun1(A, k1_numbers, C, A)) & r1_tarski(B, A))  => v1_seq_2(k2_partfun1(A, k1_numbers, k2_partfun1(A, k1_numbers, C, B), B))) ) ) ) ) ) ) ).
fof(t6_integra2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (v2_seq_2(k2_partfun1(A, k1_numbers, C, A)) & r1_tarski(B, A))  => v2_seq_2(k2_partfun1(A, k1_numbers, k2_partfun1(A, k1_numbers, C, B), B))) ) ) ) ) ) ) ).
fof(t7_integra2, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (v1_xreal_0(B) =>  (v1_xboole_0(A) <=> v1_xboole_0(k1_integra2(A, B))) ) ) ) ) ).
fof(t9_integra2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  ( (v4_xxreal_2(B) & r1_xxreal_0(k5_numbers, A))  => v4_xxreal_2(k1_integra2(B, A))) ) ) ) ) ).
fof(t10_integra2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  ( (v4_xxreal_2(B) & r1_xxreal_0(A, k5_numbers))  => v3_xxreal_2(k1_integra2(B, A))) ) ) ) ) ).
fof(t11_integra2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  ( (v3_xxreal_2(B) & r1_xxreal_0(k5_numbers, A))  => v3_xxreal_2(k1_integra2(B, A))) ) ) ) ) ).
fof(t12_integra2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  ( (v3_xxreal_2(B) & r1_xxreal_0(A, k5_numbers))  => v4_xxreal_2(k1_integra2(B, A))) ) ) ) ) ).
fof(t13_integra2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  ( (v4_xxreal_2(B) & r1_xxreal_0(k5_numbers, A))  => k2_seq_4(k1_integra2(B, A))=k3_xcmplx_0(A, k2_seq_4(B))) ) ) ) ) ).
fof(t14_integra2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  ( (v4_xxreal_2(B) & r1_xxreal_0(A, k5_numbers))  => k3_seq_4(k1_integra2(B, A))=k3_xcmplx_0(A, k2_seq_4(B))) ) ) ) ) ).
fof(t15_integra2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  ( (v3_xxreal_2(B) & r1_xxreal_0(k5_numbers, A))  => k3_seq_4(k1_integra2(B, A))=k3_xcmplx_0(A, k3_seq_4(B))) ) ) ) ) ).
fof(t16_integra2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  ( (v3_xxreal_2(B) & r1_xxreal_0(A, k5_numbers))  => k2_seq_4(k1_integra2(B, A))=k3_xcmplx_0(A, k3_seq_4(B))) ) ) ) ) ).
fof(t17_integra2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  => k1_rvsum_1(k26_valued_1(B, k1_numbers, C, A))=k1_integra2(k1_rvsum_1(C), A)) ) ) ) ) ) ).
fof(t18_integra2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  => k1_rvsum_1(k26_valued_1(B, k1_numbers, k2_partfun1(B, k1_numbers, D, C), A))=k1_integra2(k1_rvsum_1(k2_partfun1(B, k1_numbers, D, C)), A)) ) ) ) ) ) ) ) ).
fof(t19_integra2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  (! [D] :  (m1_integra1(D, B) =>  ( (v1_comseq_2(k2_partfun1(B, k1_numbers, C, B)) & r1_xxreal_0(k5_numbers, A))  => r1_xxreal_0(k3_xcmplx_0(k3_xcmplx_0(A, k3_seq_4(k1_rvsum_1(C))), k3_integra1(B)), k1_funct_1(k8_integra1(B, k26_valued_1(B, k1_numbers, C, A)), D))) ) ) ) ) ) ) ) ) ).
fof(t20_integra2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  (! [D] :  (m1_integra1(D, B) =>  ( (v1_comseq_2(k2_partfun1(B, k1_numbers, C, B)) & r1_xxreal_0(A, k5_numbers))  => r1_xxreal_0(k3_xcmplx_0(k3_xcmplx_0(A, k2_seq_4(k1_rvsum_1(C))), k3_integra1(B)), k1_funct_1(k8_integra1(B, k26_valued_1(B, k1_numbers, C, A)), D))) ) ) ) ) ) ) ) ) ).
fof(t21_integra2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  (! [D] :  (m1_integra1(D, B) =>  ( (v1_comseq_2(k2_partfun1(B, k1_numbers, C, B)) & r1_xxreal_0(k5_numbers, A))  => r1_xxreal_0(k1_funct_1(k9_integra1(B, k26_valued_1(B, k1_numbers, C, A)), D), k3_xcmplx_0(k3_xcmplx_0(A, k2_seq_4(k1_rvsum_1(C))), k3_integra1(B)))) ) ) ) ) ) ) ) ) ).
fof(t22_integra2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  (! [D] :  (m1_integra1(D, B) =>  ( (v1_comseq_2(k2_partfun1(B, k1_numbers, C, B)) & r1_xxreal_0(A, k5_numbers))  => r1_xxreal_0(k1_funct_1(k9_integra1(B, k26_valued_1(B, k1_numbers, C, A)), D), k3_xcmplx_0(k3_xcmplx_0(A, k3_seq_4(k1_rvsum_1(C))), k3_integra1(B)))) ) ) ) ) ) ) ) ) ).
fof(t23_integra2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, C, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k1_numbers)))) )  =>  (! [E] :  (m1_integra1(E, C) =>  ( (r2_tarski(B, k4_finseq_1(E)) &  (v1_seq_2(k2_partfun1(C, k1_numbers, D, C)) & r1_xxreal_0(k5_numbers, A)) )  => k1_funct_1(k4_integra1(C, k26_valued_1(C, k1_numbers, D, A), E), B)=k3_xcmplx_0(A, k1_funct_1(k4_integra1(C, D, E), B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_integra2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, C, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k1_numbers)))) )  =>  (! [E] :  (m1_integra1(E, C) =>  ( (r2_tarski(B, k4_finseq_1(E)) &  (v1_seq_2(k2_partfun1(C, k1_numbers, D, C)) & r1_xxreal_0(A, k5_numbers)) )  => k1_funct_1(k5_integra1(C, k26_valued_1(C, k1_numbers, D, A), E), B)=k3_xcmplx_0(A, k1_funct_1(k4_integra1(C, D, E), B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_integra2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, C, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k1_numbers)))) )  =>  (! [E] :  (m1_integra1(E, C) =>  ( (r2_tarski(B, k4_finseq_1(E)) &  (v2_seq_2(k2_partfun1(C, k1_numbers, D, C)) & r1_xxreal_0(k5_numbers, A)) )  => k1_funct_1(k5_integra1(C, k26_valued_1(C, k1_numbers, D, A), E), B)=k3_xcmplx_0(A, k1_funct_1(k5_integra1(C, D, E), B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_integra2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, C, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k1_numbers)))) )  =>  (! [E] :  (m1_integra1(E, C) =>  ( (r2_tarski(B, k4_finseq_1(E)) &  (v2_seq_2(k2_partfun1(C, k1_numbers, D, C)) & r1_xxreal_0(A, k5_numbers)) )  => k1_funct_1(k4_integra1(C, k26_valued_1(C, k1_numbers, D, A), E), B)=k3_xcmplx_0(A, k1_funct_1(k5_integra1(C, D, E), B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_integra2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  (! [D] :  (m1_integra1(D, B) =>  ( (v1_seq_2(k2_partfun1(B, k1_numbers, C, B)) & r1_xxreal_0(k5_numbers, A))  => k6_integra1(B, k26_valued_1(B, k1_numbers, C, A), D)=k3_xcmplx_0(A, k6_integra1(B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t28_integra2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  (! [D] :  (m1_integra1(D, B) =>  ( (v1_seq_2(k2_partfun1(B, k1_numbers, C, B)) & r1_xxreal_0(A, k5_numbers))  => k7_integra1(B, k26_valued_1(B, k1_numbers, C, A), D)=k3_xcmplx_0(A, k6_integra1(B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t29_integra2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  (! [D] :  (m1_integra1(D, B) =>  ( (v2_seq_2(k2_partfun1(B, k1_numbers, C, B)) & r1_xxreal_0(k5_numbers, A))  => k7_integra1(B, k26_valued_1(B, k1_numbers, C, A), D)=k3_xcmplx_0(A, k7_integra1(B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t30_integra2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  (! [D] :  (m1_integra1(D, B) =>  ( (v2_seq_2(k2_partfun1(B, k1_numbers, C, B)) & r1_xxreal_0(A, k5_numbers))  => k6_integra1(B, k26_valued_1(B, k1_numbers, C, A), D)=k3_xcmplx_0(A, k7_integra1(B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t31_integra2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  ( (v1_comseq_2(k2_partfun1(B, k1_numbers, C, B)) & v3_integra1(C, B))  =>  (v3_integra1(k26_valued_1(B, k1_numbers, C, A), B) & k12_integra1(B, k26_valued_1(B, k1_numbers, C, A))=k3_xcmplx_0(A, k12_integra1(B, C))) ) ) ) ) ) ) ) ).
fof(t32_integra2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  ( (v1_comseq_2(k2_partfun1(A, k1_numbers, B, A)) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => r1_xxreal_0(k5_numbers, k1_funct_1(B, C))) ) ) )  => r1_xxreal_0(k5_numbers, k12_integra1(A, B))) ) ) ) ) ).
fof(t33_integra2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  ( (v1_comseq_2(k2_partfun1(A, k1_numbers, B, A)) &  (v3_integra1(B, A) &  (v1_comseq_2(k2_partfun1(A, k1_numbers, C, A)) & v3_integra1(C, A)) ) )  =>  (v3_integra1(k47_valued_1(A, k1_numbers, k1_numbers, B, C), A) & k12_integra1(A, k47_valued_1(A, k1_numbers, k1_numbers, B, C))=k6_xcmplx_0(k12_integra1(A, B), k12_integra1(A, C))) ) ) ) ) ) ) ) ).
fof(t34_integra2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  ( (v1_comseq_2(k2_partfun1(A, k1_numbers, B, A)) &  (v3_integra1(B, A) &  (v1_comseq_2(k2_partfun1(A, k1_numbers, C, A)) &  (v3_integra1(C, A) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, A) => r1_xxreal_0(k1_funct_1(C, D), k1_funct_1(B, D))) ) ) ) ) ) )  => r1_xxreal_0(k12_integra1(A, C), k12_integra1(A, B))) ) ) ) ) ) ) ).
fof(t35_integra2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_comseq_2(k2_partfun1(A, k1_numbers, B, A)) => v3_xxreal_2(k1_rvsum_1(k8_integra1(A, B)))) ) ) ) ) ).
fof(t36_integra2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_comseq_2(k2_partfun1(A, k1_numbers, B, A)) => v4_xxreal_2(k1_rvsum_1(k9_integra1(A, B)))) ) ) ) ) ).
fof(d2_integra2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_integra1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (D=k3_integra2(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) => k1_funct_1(D, E)=k6_integra1(A, B, k2_integra2(A, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_integra2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_integra1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (D=k4_integra2(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) => k1_funct_1(D, E)=k7_integra1(A, B, k2_integra2(A, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_integra2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  (m1_integra1(C, A) =>  (r1_integra1(B, C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(D, k4_finseq_1(C)) &  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_tarski(E, k4_finseq_1(B)) & r1_tarski(k2_integra1(A, C, D), k2_integra1(A, B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_integra2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (r1_tarski(A, B) => r1_xxreal_0(k3_integra1(A), k3_integra1(B))) ) ) ) ) ).
fof(t39_integra2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( (r2_hidden(C, k1_integra2(A, B)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( (r2_hidden(D, A) & C=k3_xcmplx_0(B, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_integra2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v2_membered(A))  => k22_member_1(A, k5_numbers)=k1_seq_4(k5_numbers)) ) ).
fof(dt_k1_integra2, axiom,  (! [A, B] :  ( (v3_membered(A) & v1_xreal_0(B))  => m1_subset_1(k1_integra2(A, B), k1_zfmisc_1(k1_numbers))) ) ).
fof(redefinition_k1_integra2, axiom,  (! [A, B] :  ( (v3_membered(A) & v1_xreal_0(B))  => k1_integra2(A, B)=k23_member_1(A, B)) ) ).
fof(dt_k2_integra2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_integra1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  & v7_ordinal1(C)) )  => m1_integra1(k2_integra2(A, B, C), A)) ) ).
fof(redefinition_k2_integra2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_integra1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  & v7_ordinal1(C)) )  => k2_integra2(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k3_integra2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_integra1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) ) ) )  =>  (v1_funct_1(k3_integra2(A, B, C)) &  (v1_funct_2(k3_integra2(A, B, C), k4_ordinal1, k1_numbers) & m1_subset_1(k3_integra2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k4_integra2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_integra1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) ) ) )  =>  (v1_funct_1(k4_integra2(A, B, C)) &  (v1_funct_2(k4_integra2(A, B, C), k4_ordinal1, k1_numbers) & m1_subset_1(k4_integra2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(t8_integra2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) => k1_integra2(B, A)=a_2_0_integra2(A, B)) ) ) ) ).
fof(fraenkel_a_2_0_integra2, axiom,  (! [A, B, C] :  ( (v1_xreal_0(B) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (r2_hidden(A, a_2_0_integra2(B, C)) <=>  (? [D] :  (v1_xreal_0(D) &  (A=k3_xcmplx_0(B, D) & r2_hidden(D, C)) ) ) ) ) ) ).
fof(d1_integra3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) => k1_integra3(A, B)=k1_xxreal_2(k1_rvsum_1(k4_integra1(A, k7_rfunct_1(A, A), B)))) ) ) ) ).
fof(d2_integra3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_integra1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (C=k2_integra3(A, B) <=>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => k3_funct_2(k4_ordinal1, k1_numbers, C, D)=k1_integra3(A, k2_integra2(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t1_integra3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  (m1_integra1(C, A) =>  (r1_integra1(B, C) => r1_xxreal_0(k1_integra3(A, C), k1_integra3(A, B))) ) ) ) ) ) ) ).
fof(t2_integra3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  ~ ( ( ~ (k3_integra1(A)=k5_numbers)  &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ ( (r2_tarski(C, k4_finseq_1(B)) &  ~ (r1_xxreal_0(k3_integra1(k2_integra1(A, B, C)), k5_numbers)) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_integra3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  (m1_integra1(C, B) =>  ~ ( (r2_hidden(A, B) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ~ ( (r2_tarski(D, k4_finseq_1(C)) & r2_hidden(A, k2_integra1(B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_integra3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  (m1_integra1(C, A) =>  (? [D] :  (m1_integra1(D, A) &  (r1_integra1(B, D) &  (r1_integra1(C, D) & k1_rvsum_1(D)=k4_subset_1(k1_numbers, k1_rvsum_1(B), k1_rvsum_1(C))) ) ) ) ) ) ) ) ) ) ).
fof(t5_integra3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  (m1_integra1(C, A) =>  ( ~ (r1_xxreal_0(k2_xxreal_2(k1_rvsum_1(k4_integra1(A, k7_rfunct_1(A, A), B))), k1_integra3(A, C)))  =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  ( (r2_tarski(F, k4_finseq_1(C)) &  (r2_hidden(D, k9_subset_1(k1_numbers, k1_rvsum_1(B), k2_integra1(A, C, F))) & r2_hidden(E, k9_subset_1(k1_numbers, k1_rvsum_1(B), k2_integra1(A, C, F)))) )  => D=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_integra3, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  ( (k1_rvsum_1(A)=k1_rvsum_1(B) &  (v5_valued_0(A) & v5_valued_0(B)) )  => A=B) ) ) ) ) ).
fof(t7_integra3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  (! [D] :  (m1_integra1(D, C) =>  (! [E] :  (m1_integra1(E, C) =>  ( (r1_integra1(D, E) &  (r2_tarski(A, k4_finseq_1(D)) &  (r2_tarski(B, k4_finseq_1(D)) & r1_xxreal_0(A, B)) ) )  =>  (r1_xxreal_0(k13_integra1(C, D, E, A), k13_integra1(C, D, E, B)) & r2_tarski(k13_integra1(C, D, E, A), k4_finseq_1(E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_integra3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  (! [D] :  (m1_integra1(D, C) =>  (! [E] :  (m1_integra1(E, C) =>  ~ ( (r1_integra1(D, E) &  (r2_tarski(A, k4_finseq_1(D)) &  (r2_tarski(B, k4_finseq_1(D)) &  ( ~ (r1_xxreal_0(B, A))  & r1_xxreal_0(k13_integra1(C, D, E, B), k13_integra1(C, D, E, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_integra3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) => r1_xxreal_0(k5_numbers, k1_integra3(A, B))) ) ) ) ).
fof(t10_integra3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  (m1_integra1(C, B) =>  (! [D] :  (m1_integra1(D, B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  ( (r2_hidden(A, k2_integra1(B, C, k3_finseq_1(C))) &  (r1_xxreal_0(2, k3_finseq_1(C)) &  (r1_integra1(C, D) &  (k1_rvsum_1(D)=k4_subset_1(k1_numbers, k1_rvsum_1(C), k1_seq_4(A)) & v1_comseq_2(k2_partfun1(B, k1_numbers, E, B))) ) ) )  => r1_xxreal_0(k6_xcmplx_0(k18_rvsum_1(k5_integra1(B, E, D)), k18_rvsum_1(k5_integra1(B, E, C))), k3_xcmplx_0(k6_xcmplx_0(k2_seq_4(k1_rvsum_1(E)), k3_seq_4(k1_rvsum_1(E))), k1_integra3(B, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_integra3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  (m1_integra1(C, B) =>  (! [D] :  (m1_integra1(D, B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  ( (r2_hidden(A, k2_integra1(B, C, k3_finseq_1(C))) &  (r1_xxreal_0(2, k3_finseq_1(C)) &  (r1_integra1(C, D) &  (k1_rvsum_1(D)=k4_subset_1(k1_numbers, k1_rvsum_1(C), k1_seq_4(A)) & v1_comseq_2(k2_partfun1(B, k1_numbers, E, B))) ) ) )  => r1_xxreal_0(k6_xcmplx_0(k18_rvsum_1(k4_integra1(B, E, C)), k18_rvsum_1(k4_integra1(B, E, D))), k3_xcmplx_0(k6_xcmplx_0(k2_seq_4(k1_rvsum_1(E)), k3_seq_4(k1_rvsum_1(E))), k1_integra3(B, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_integra3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v2_measure5(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers))) )  =>  (! [E] :  (m1_integra1(E, D) =>  ~ ( (r2_tarski(B, k4_finseq_1(E)) &  (r2_tarski(C, k4_finseq_1(E)) &  (r1_xxreal_0(B, C) &  ( ~ (r1_xxreal_0(k1_funct_1(k3_finseq_6(k1_numbers, E, B, C), 1), A))  &  (! [F] :  ( ( ~ (v1_xboole_0(F))  &  (v2_measure5(F) & m1_subset_1(F, k1_zfmisc_1(k1_numbers))) )  =>  ~ ( (A=k3_seq_4(F) &  (k2_seq_4(F)=k1_funct_1(k3_finseq_6(k1_numbers, E, B, C), k3_finseq_1(k3_finseq_6(k1_numbers, E, B, C))) & m1_integra1(k3_finseq_6(k1_numbers, E, B, C), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_integra3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [D] :  (m1_integra1(D, A) =>  (D=k7_finseq_1(k9_finseq_1(k3_seq_4(A)), B) =>  ( (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r2_tarski(E, k2_finseq_1(k3_finseq_1(B))) => k2_integra1(A, D, k1_nat_1(E, 1))=k2_integra1(A, B, E)) ) )  &  (k4_integra1(A, C, B)=k2_rfinseq(k1_numbers, 1, k4_integra1(A, C, D)) & k5_integra1(A, C, B)=k2_rfinseq(k1_numbers, 1, k5_integra1(A, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_integra3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  (m1_integra1(C, B) =>  (! [D] :  (m1_integra1(D, B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  ( (r2_hidden(A, k2_integra1(B, C, k3_finseq_1(C))) &  (r1_integra1(C, D) &  (k1_rvsum_1(D)=k4_subset_1(k1_numbers, k1_rvsum_1(C), k1_seq_4(A)) & v1_comseq_2(k2_partfun1(B, k1_numbers, E, B))) ) )  =>  (k3_integra1(B)=k5_numbers |  (r1_xxreal_0(A, k3_seq_4(B)) | r1_xxreal_0(k6_xcmplx_0(k18_rvsum_1(k5_integra1(B, E, D)), k18_rvsum_1(k5_integra1(B, E, C))), k3_xcmplx_0(k6_xcmplx_0(k2_seq_4(k1_rvsum_1(E)), k3_seq_4(k1_rvsum_1(E))), k1_integra3(B, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_integra3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  (m1_integra1(C, B) =>  (! [D] :  (m1_integra1(D, B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  ( (r2_hidden(A, k2_integra1(B, C, k3_finseq_1(C))) &  (r1_integra1(C, D) &  (k1_rvsum_1(D)=k4_subset_1(k1_numbers, k1_rvsum_1(C), k1_seq_4(A)) & v1_comseq_2(k2_partfun1(B, k1_numbers, E, B))) ) )  =>  (k3_integra1(B)=k5_numbers |  (r1_xxreal_0(A, k3_seq_4(B)) | r1_xxreal_0(k6_xcmplx_0(k18_rvsum_1(k4_integra1(B, E, C)), k18_rvsum_1(k4_integra1(B, E, D))), k3_xcmplx_0(k6_xcmplx_0(k2_seq_4(k1_rvsum_1(E)), k3_seq_4(k1_rvsum_1(E))), k1_integra3(B, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_integra3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v2_measure5(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers))) )  =>  (! [E] :  (m1_integra1(E, D) =>  (! [F] :  (m1_integra1(F, D) =>  ~ ( (r2_tarski(B, k4_finseq_1(E)) &  (r2_tarski(C, k4_finseq_1(E)) &  (r1_xxreal_0(B, C) &  (r1_integra1(E, F) &  ( ~ (r1_xxreal_0(k1_funct_1(k3_finseq_6(k1_numbers, F, k13_integra1(D, E, F, B), k13_integra1(D, E, F, C)), 1), A))  &  (! [G] :  ( ( ~ (v1_xboole_0(G))  &  (v2_measure5(G) & m1_subset_1(G, k1_zfmisc_1(k1_numbers))) )  =>  (! [H] :  (m1_integra1(H, G) =>  (! [I] :  (m1_integra1(I, G) =>  ~ ( (A=k3_seq_4(G) &  (k2_seq_4(G)=k1_funct_1(I, k3_finseq_1(I)) &  (k2_seq_4(G)=k1_funct_1(H, k3_finseq_1(H)) &  (r1_integra1(H, I) &  (H=k3_finseq_6(k1_numbers, E, B, C) & I=k3_finseq_6(k1_numbers, F, k13_integra1(D, E, F, B), k13_integra1(D, E, F, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_integra3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  (m1_integra1(C, B) =>  (r2_hidden(A, k1_rvsum_1(C)) =>  (r1_xxreal_0(k1_funct_1(C, 1), A) & r1_xxreal_0(A, k1_funct_1(C, k3_finseq_1(C)))) ) ) ) ) ) ) ) ).
fof(t18_integra3, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (v5_valued_0(A) &  (r2_tarski(B, k4_finseq_1(A)) &  (r2_tarski(C, k4_finseq_1(A)) &  (r2_tarski(D, k4_finseq_1(A)) &  (r1_xxreal_0(k1_funct_1(A, B), k1_funct_1(A, D)) & r1_xxreal_0(k1_funct_1(A, D), k1_funct_1(A, C))) ) ) ) )  => r2_tarski(k1_funct_1(A, D), k1_rvsum_1(k3_finseq_6(k1_numbers, A, B, C)))) ) ) ) ) ) ) ) ) ).
fof(t19_integra3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  (m1_integra1(C, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  ( (v1_comseq_2(k2_partfun1(B, k1_numbers, D, B)) & r2_tarski(A, k4_finseq_1(C)))  => r1_xxreal_0(k3_seq_4(k1_rvsum_1(k2_partfun1(B, k1_numbers, D, k2_integra1(B, C, A)))), k2_seq_4(k1_rvsum_1(D)))) ) ) ) ) ) ) ) ) ).
fof(t20_integra3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  (m1_integra1(C, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  ( (v1_comseq_2(k2_partfun1(B, k1_numbers, D, B)) & r2_tarski(A, k4_finseq_1(C)))  => r1_xxreal_0(k3_seq_4(k1_rvsum_1(D)), k2_seq_4(k1_rvsum_1(k2_partfun1(B, k1_numbers, D, k2_integra1(B, C, A)))))) ) ) ) ) ) ) ) ) ).
fof(t21_integra3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_comseq_2(k2_partfun1(A, k1_numbers, B, A)) =>  (! [C] :  (m1_integra1(C, A) =>  (! [D] :  (m1_integra1(D, A) =>  (? [E] :  (m1_integra1(E, A) &  (r1_integra1(C, E) &  (r1_integra1(D, E) &  (k1_rvsum_1(E)=k4_subset_1(k1_numbers, k1_rvsum_1(D), k1_rvsum_1(C)) &  (r1_xxreal_0(k5_numbers, k6_xcmplx_0(k7_integra1(A, B, E), k7_integra1(A, B, C))) & r1_xxreal_0(k5_numbers, k6_xcmplx_0(k7_integra1(A, B, E), k7_integra1(A, B, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_integra3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_comseq_2(k2_partfun1(A, k1_numbers, B, A)) =>  (! [C] :  (m1_integra1(C, A) =>  (! [D] :  (m1_integra1(D, A) =>  ~ ( ( ~ (r1_xxreal_0(k2_xxreal_2(k1_rvsum_1(k4_integra1(A, k7_rfunct_1(A, A), C))), k1_integra3(A, D)))  &  (! [E] :  (m1_integra1(E, A) =>  ~ ( (r1_integra1(C, E) &  (r1_integra1(D, E) &  (k1_rvsum_1(E)=k4_subset_1(k1_numbers, k1_rvsum_1(D), k1_rvsum_1(C)) & r1_xxreal_0(k6_xcmplx_0(k7_integra1(A, B, E), k7_integra1(A, B, D)), k3_xcmplx_0(k3_xcmplx_0(k3_finseq_1(C), k6_xcmplx_0(k2_seq_4(k1_rvsum_1(B)), k3_seq_4(k1_rvsum_1(B)))), k1_integra3(A, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_integra3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_comseq_2(k2_partfun1(A, k1_numbers, B, A)) =>  (! [C] :  (m1_integra1(C, A) =>  (! [D] :  (m1_integra1(D, A) =>  (? [E] :  (m1_integra1(E, A) &  (r1_integra1(C, E) &  (r1_integra1(D, E) &  (k1_rvsum_1(E)=k4_subset_1(k1_numbers, k1_rvsum_1(D), k1_rvsum_1(C)) &  (r1_xxreal_0(k5_numbers, k6_xcmplx_0(k6_integra1(A, B, C), k6_integra1(A, B, E))) & r1_xxreal_0(k5_numbers, k6_xcmplx_0(k6_integra1(A, B, D), k6_integra1(A, B, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_integra3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_comseq_2(k2_partfun1(A, k1_numbers, B, A)) =>  (! [C] :  (m1_integra1(C, A) =>  (! [D] :  (m1_integra1(D, A) =>  ~ ( ( ~ (r1_xxreal_0(k2_xxreal_2(k1_rvsum_1(k4_integra1(A, k7_rfunct_1(A, A), C))), k1_integra3(A, D)))  &  (! [E] :  (m1_integra1(E, A) =>  ~ ( (r1_integra1(C, E) &  (r1_integra1(D, E) &  (k1_rvsum_1(E)=k4_subset_1(k1_numbers, k1_rvsum_1(D), k1_rvsum_1(C)) & r1_xxreal_0(k6_xcmplx_0(k6_integra1(A, B, D), k6_integra1(A, B, E)), k3_xcmplx_0(k3_xcmplx_0(k3_finseq_1(C), k6_xcmplx_0(k2_seq_4(k1_rvsum_1(B)), k3_seq_4(k1_rvsum_1(B)))), k1_integra3(A, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_integra3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_integra1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  =>  ( (v1_comseq_2(k2_partfun1(A, k1_numbers, B, A)) &  (v1_fdiff_1(k2_integra3(A, C), k5_numbers) & v9_ordinal1(k2_integra3(A, C))) )  =>  (k3_integra1(A)=k5_numbers |  (v2_comseq_2(k4_integra2(A, B, C)) & k1_seq_2(k4_integra2(A, B, C))=k11_integra1(A, B)) ) ) ) ) ) ) ) ) ).
fof(t26_integra3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_integra1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  =>  ( (v1_comseq_2(k2_partfun1(A, k1_numbers, B, A)) &  (v1_fdiff_1(k2_integra3(A, C), k5_numbers) & v9_ordinal1(k2_integra3(A, C))) )  =>  (k3_integra1(A)=k5_numbers |  (v2_comseq_2(k3_integra2(A, B, C)) & k1_seq_2(k3_integra2(A, B, C))=k10_integra1(A, B)) ) ) ) ) ) ) ) ) ).
fof(dt_k1_integra3, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  & m1_integra1(B, A))  => v1_xreal_0(k1_integra3(A, B))) ) ).
fof(dt_k2_integra3, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_integra1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) ) )  =>  (v1_funct_1(k2_integra3(A, B)) &  (v1_funct_2(k2_integra3(A, B), k4_ordinal1, k1_numbers) & m1_subset_1(k2_integra3(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(t1_integra4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (k3_integra1(A)=k5_numbers => k3_finseq_1(B)=1) ) ) ) ) ).
fof(t2_integra4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (v3_integra1(k7_rfunct_1(A, A), A) & k12_integra1(A, k7_rfunct_1(A, A))=k3_integra1(A)) ) ) ).
fof(t3_integra4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  ( (v1_partfun1(B, A) & k1_rvsum_1(B)=k1_seq_4(C))  <=> r2_relset_1(A, k1_numbers, B, k26_valued_1(A, k1_numbers, k7_rfunct_1(A, A), C))) ) ) ) ) ) ) ).
fof(t4_integra4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  (v1_xreal_0(C) =>  (k1_rvsum_1(B)=k1_seq_4(C) =>  (v3_integra1(B, A) & k12_integra1(A, B)=k3_xcmplx_0(C, k3_integra1(A))) ) ) ) ) ) ) ) ).
fof(t5_integra4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (v1_xreal_0(B) =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (k1_rvsum_1(C)=k1_seq_4(B) & v1_comseq_2(k2_partfun1(A, k1_numbers, C, A))) ) ) ) ) ) ) ).
fof(t6_integra4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (m1_subset_1(C, k1_integra1(A)) =>  (k3_integra1(A)=k5_numbers =>  (v3_integra1(B, A) & k12_integra1(A, B)=k5_numbers) ) ) ) ) ) ) ) ).
fof(t7_integra4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  ~ ( (v1_comseq_2(k2_partfun1(A, k1_numbers, B, A)) &  (v3_integra1(B, A) &  (! [C] :  (v1_xreal_0(C) =>  ~ ( (r1_xxreal_0(k3_seq_4(k1_rvsum_1(B)), C) &  (r1_xxreal_0(C, k2_seq_4(k1_rvsum_1(B))) & k12_integra1(A, B)=k3_xcmplx_0(C, k3_integra1(A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_integra4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_integra1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  =>  ( (v1_comseq_2(k2_partfun1(A, k1_numbers, B, A)) &  (v2_comseq_2(k2_integra3(A, C)) & k1_seq_2(k2_integra3(A, C))=k5_numbers) )  =>  (v2_comseq_2(k4_integra2(A, B, C)) & k1_seq_2(k4_integra2(A, B, C))=k11_integra1(A, B)) ) ) ) ) ) ) ) ).
fof(t9_integra4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_integra1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  =>  ( (v1_comseq_2(k2_partfun1(A, k1_numbers, B, A)) &  (v2_comseq_2(k2_integra3(A, C)) & k1_seq_2(k2_integra3(A, C))=k5_numbers) )  =>  (v2_comseq_2(k3_integra2(A, B, C)) & k1_seq_2(k3_integra2(A, B, C))=k10_integra1(A, B)) ) ) ) ) ) ) ) ).
fof(t10_integra4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_comseq_2(k2_partfun1(A, k1_numbers, B, A)) =>  (v1_integra1(B, A) & v2_integra1(B, A)) ) ) ) ) ) ).
fof(d1_integra4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_integra1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_integra4(A, B, C) <=>  (k3_finseq_1(B)=C &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(B)) => k1_funct_1(B, D)=k2_xcmplx_0(k3_seq_4(A), k3_xcmplx_0(k7_xcmplx_0(k3_integra1(A), k3_finseq_1(B)), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_integra4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_integra1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  &  (v2_comseq_2(k2_integra3(A, B)) & k1_seq_2(k2_integra3(A, B))=k5_numbers) ) ) ) ) ).
fof(t12_integra4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_comseq_2(k2_partfun1(A, k1_numbers, B, A)) =>  (v3_integra1(B, A) <=>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_integra1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  =>  ( (v2_comseq_2(k2_integra3(A, C)) & k1_seq_2(k2_integra3(A, C))=k5_numbers)  => k6_xcmplx_0(k1_seq_2(k3_integra2(A, B, C)), k1_seq_2(k4_integra2(A, B, C)))=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(t13_integra4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_partfun1(k18_rfunct_3(A, B), A) & v1_partfun1(k19_rfunct_3(A, B), A)) ) ) ) ) ).
fof(t14_integra4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (v1_seq_2(k2_partfun1(A, k1_numbers, C, B)) => v1_seq_2(k2_partfun1(A, k1_numbers, k18_rfunct_3(A, C), B))) ) ) ) ) ) ).
fof(t15_integra4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  => v2_seq_2(k2_partfun1(A, k1_numbers, k18_rfunct_3(A, C), B))) ) ) ) ) ).
fof(t16_integra4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (v2_seq_2(k2_partfun1(A, k1_numbers, C, B)) => v1_seq_2(k2_partfun1(A, k1_numbers, k19_rfunct_3(A, C), B))) ) ) ) ) ) ).
fof(t17_integra4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  => v2_seq_2(k2_partfun1(A, k1_numbers, k19_rfunct_3(A, C), B))) ) ) ) ) ).
fof(t18_integra4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (v1_seq_2(k2_partfun1(A, k1_numbers, C, A)) => v4_xxreal_2(k1_rvsum_1(k2_partfun1(A, k1_numbers, C, B)))) ) ) ) ) ) ).
fof(t19_integra4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (v2_seq_2(k2_partfun1(A, k1_numbers, C, A)) => v3_xxreal_2(k1_rvsum_1(k2_partfun1(A, k1_numbers, C, B)))) ) ) ) ) ) ).
fof(t20_integra4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  ( (v1_comseq_2(k2_partfun1(A, k1_numbers, B, A)) & v3_integra1(B, A))  => v3_integra1(k18_rfunct_3(A, B), A)) ) ) ) ) ).
fof(t21_integra4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  => r2_relset_1(A, k1_numbers, k19_rfunct_3(A, B), k18_rfunct_3(A, k32_valued_1(A, k1_numbers, B)))) ) ) ) ).
fof(t22_integra4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  ( (v1_comseq_2(k2_partfun1(A, k1_numbers, B, A)) & v3_integra1(B, A))  => v3_integra1(k19_rfunct_3(A, B), A)) ) ) ) ) ).
fof(t23_integra4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  ( (v1_comseq_2(k2_partfun1(A, k1_numbers, B, A)) & v3_integra1(B, A))  =>  (v3_integra1(k56_valued_1(A, k1_numbers, B), A) & r1_xxreal_0(k9_complex1(k12_integra1(A, B)), k12_integra1(A, k56_valued_1(A, k1_numbers, B)))) ) ) ) ) ) ).
fof(t24_integra4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ( (r2_hidden(D, B) & r2_hidden(E, B))  => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k1_funct_1(C, D), k1_funct_1(C, E))), A)) ) ) ) )  => r1_xxreal_0(k6_xcmplx_0(k2_seq_4(k1_rvsum_1(C)), k3_seq_4(k1_rvsum_1(C))), A)) ) ) ) ) ) ) ).
fof(t25_integra4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  ( (v1_comseq_2(k2_partfun1(B, k1_numbers, C, B)) &  (r1_xxreal_0(k5_numbers, A) &  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (r2_hidden(E, B) & r2_hidden(F, B))  => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k1_funct_1(D, E), k1_funct_1(D, F))), k3_xcmplx_0(A, k9_complex1(k6_xcmplx_0(k1_funct_1(C, E), k1_funct_1(C, F)))))) ) ) ) ) ) )  => r1_xxreal_0(k6_xcmplx_0(k2_seq_4(k1_rvsum_1(D)), k3_seq_4(k1_rvsum_1(D))), k3_xcmplx_0(A, k6_xcmplx_0(k2_seq_4(k1_rvsum_1(C)), k3_seq_4(k1_rvsum_1(C)))))) ) ) ) ) ) ) ) ) ).
fof(t26_integra4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  ( (v1_comseq_2(k2_partfun1(B, k1_numbers, C, B)) &  (v1_comseq_2(k2_partfun1(B, k1_numbers, D, B)) &  (r1_xxreal_0(k5_numbers, A) &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ( (r2_hidden(F, B) & r2_hidden(G, B))  => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k1_funct_1(E, F), k1_funct_1(E, G))), k3_xcmplx_0(A, k2_xcmplx_0(k9_complex1(k6_xcmplx_0(k1_funct_1(C, F), k1_funct_1(C, G))), k9_complex1(k6_xcmplx_0(k1_funct_1(D, F), k1_funct_1(D, G))))))) ) ) ) ) ) ) )  => r1_xxreal_0(k6_xcmplx_0(k2_seq_4(k1_rvsum_1(E)), k3_seq_4(k1_rvsum_1(E))), k3_xcmplx_0(A, k2_xcmplx_0(k6_xcmplx_0(k2_seq_4(k1_rvsum_1(C)), k3_seq_4(k1_rvsum_1(C))), k6_xcmplx_0(k2_seq_4(k1_rvsum_1(D)), k3_seq_4(k1_rvsum_1(D))))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_integra4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  ( (v1_comseq_2(k2_partfun1(B, k1_numbers, C, B)) &  (v3_integra1(C, B) &  (v1_comseq_2(k2_partfun1(B, k1_numbers, D, B)) &  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (r2_hidden(E, B) & r2_hidden(F, B))  => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k1_funct_1(D, E), k1_funct_1(D, F))), k3_xcmplx_0(A, k9_complex1(k6_xcmplx_0(k1_funct_1(C, E), k1_funct_1(C, F)))))) ) ) ) ) ) ) )  =>  (r1_xxreal_0(A, k5_numbers) | v3_integra1(D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t28_integra4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  ( (v1_comseq_2(k2_partfun1(B, k1_numbers, C, B)) &  (v3_integra1(C, B) &  (v1_comseq_2(k2_partfun1(B, k1_numbers, D, B)) &  (v3_integra1(D, B) &  (v1_comseq_2(k2_partfun1(B, k1_numbers, E, B)) &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ( (r2_hidden(F, B) & r2_hidden(G, B))  => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k1_funct_1(E, F), k1_funct_1(E, G))), k3_xcmplx_0(A, k2_xcmplx_0(k9_complex1(k6_xcmplx_0(k1_funct_1(C, F), k1_funct_1(C, G))), k9_complex1(k6_xcmplx_0(k1_funct_1(D, F), k1_funct_1(D, G))))))) ) ) ) ) ) ) ) ) )  =>  (r1_xxreal_0(A, k5_numbers) | v3_integra1(E, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_integra4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  ( (v1_comseq_2(k2_partfun1(A, k1_numbers, B, A)) &  (v3_integra1(B, A) &  (v1_comseq_2(k2_partfun1(A, k1_numbers, C, A)) & v3_integra1(C, A)) ) )  => v3_integra1(k20_valued_1(A, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ).
fof(t30_integra4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  ( (v1_comseq_2(k2_partfun1(A, k1_numbers, B, A)) &  (v3_integra1(B, A) & v1_comseq_2(k2_partfun1(A, k1_numbers, k6_rfunct_1(A, k1_numbers, B), A))) )  =>  (r2_tarski(k5_numbers, k1_rvsum_1(B)) | v3_integra1(k6_rfunct_1(A, k1_numbers, B), A)) ) ) ) ) ) ).
fof(t1_integra5, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( (B=k7_finseq_1(k9_finseq_1(D), A) | B=k7_finseq_1(A, k9_finseq_1(D)))  &  ( (C=k7_finseq_1(k9_finseq_1(E), A) | C=k7_finseq_1(A, k9_finseq_1(E)))  &  ~ (k18_rvsum_1(k8_rvsum_1(B, C))=k6_xcmplx_0(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_integra5, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (k3_finseq_1(A)=k3_finseq_1(B) =>  (k3_finseq_1(k4_rvsum_1(A, B))=k3_finseq_1(A) &  (k3_finseq_1(k8_rvsum_1(A, B))=k3_finseq_1(A) &  (k18_rvsum_1(k4_rvsum_1(A, B))=k2_xcmplx_0(k18_rvsum_1(A), k18_rvsum_1(B)) & k18_rvsum_1(k8_rvsum_1(A, B))=k6_xcmplx_0(k18_rvsum_1(A), k18_rvsum_1(B))) ) ) ) ) ) ) ) ).
fof(t3_integra5, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  ( (k3_finseq_1(A)=k3_finseq_1(B) &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r2_tarski(C, k4_finseq_1(A)) => r1_xxreal_0(k1_funct_1(A, C), k1_funct_1(B, C))) ) ) )  => r1_xxreal_0(k18_rvsum_1(A), k18_rvsum_1(B))) ) ) ) ) ).
fof(t4_integra5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  => r2_relset_1(C, k1_numbers, k20_valued_1(C, k1_numbers, k1_numbers, k1_integra5(A, C), k1_integra5(B, C)), k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), C))) ) ) ) ) ) ).
fof(t5_integra5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  => r2_relset_1(C, k1_numbers, k1_integra5(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), C), k3_valued_1(C, k1_numbers, k1_numbers, k1_integra5(A, C), k1_integra5(B, C)))) ) ) ) ) ) ).
fof(d1_integra5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_integra5(A, B) <=> v3_integra1(k1_integra5(B, A), A)) ) ) ) ) ).
fof(d2_integra5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  => k2_integra5(A, B)=k12_integra1(A, k1_integra5(B, A))) ) ) ) ).
fof(t6_integra5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, B)) => v1_partfun1(k1_integra5(B, A), A)) ) ) ) ) ).
fof(t7_integra5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v1_seq_2(k2_partfun1(k1_numbers, k1_numbers, B, A)) => v1_seq_2(k2_partfun1(A, k1_numbers, k1_integra5(B, A), A))) ) ) ) ) ).
fof(t8_integra5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v2_seq_2(k2_partfun1(k1_numbers, k1_numbers, B, A)) => v2_seq_2(k2_partfun1(A, k1_numbers, k1_integra5(B, A), A))) ) ) ) ) ).
fof(t9_integra5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, B, A)) => v1_comseq_2(k2_partfun1(A, k1_numbers, k1_integra5(B, A), A))) ) ) ) ) ).
fof(t10_integra5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, B)) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A)))  => v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) ) ).
fof(t11_integra5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, B)) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A)))  => r1_integra5(A, B)) ) ) ) ) ).
fof(t12_integra5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  (m1_integra1(D, A) =>  ( (r1_tarski(A, B) &  (r2_fdiff_1(C, B) & v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, k2_fdiff_1(C, B), A))) )  =>  (r1_xxreal_0(k7_integra1(A, k1_integra5(k2_fdiff_1(C, B), A), D), k6_xcmplx_0(k1_funct_1(C, k2_seq_4(A)), k1_funct_1(C, k3_seq_4(A)))) & r1_xxreal_0(k6_xcmplx_0(k1_funct_1(C, k2_seq_4(A)), k1_funct_1(C, k3_seq_4(A))), k6_integra1(A, k1_integra5(k2_fdiff_1(C, B), A), D))) ) ) ) ) ) ) ) ) ).
fof(t13_integra5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, B) &  (r2_fdiff_1(C, B) &  (r1_integra5(A, k2_fdiff_1(C, B)) & v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, k2_fdiff_1(C, B), A))) ) )  => k2_integra5(A, k2_fdiff_1(C, B))=k6_xcmplx_0(k1_funct_1(C, k2_seq_4(A)), k1_funct_1(C, k3_seq_4(A)))) ) ) ) ) ) ).
fof(t14_integra5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v7_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, A)) & r1_tarski(A, k1_relset_1(k1_numbers, B)))  => v5_xxreal_2(k1_rvsum_1(k2_partfun1(k1_numbers, k1_numbers, B, A)))) ) ) ) ) ).
fof(t15_integra5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v7_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, A)) & r1_tarski(A, k1_relset_1(k1_numbers, B)))  =>  (k3_seq_4(k1_rvsum_1(k2_partfun1(k1_numbers, k1_numbers, B, A)))=k1_funct_1(B, k3_seq_4(A)) & k2_seq_4(k1_rvsum_1(k2_partfun1(k1_numbers, k1_numbers, B, A)))=k1_funct_1(B, k2_seq_4(A))) ) ) ) ) ) ).
fof(t16_integra5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v1_rfunct_2(k2_partfun1(k1_numbers, k1_numbers, B, A)) & r1_tarski(A, k1_relset_1(k1_numbers, B)))  => r1_integra5(A, B)) ) ) ) ) ).
fof(t17_integra5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, A)) &  (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, A, B)) & r1_tarski(C, B)) )  => r1_integra5(C, A)) ) ) ) ) ) ) ).
fof(t18_integra5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v2_measure5(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers))) )  =>  (! [E] :  ( (r1_tarski(B, E) &  (r2_fdiff_1(A, E) &  (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k2_fdiff_1(A, E), B)) &  (k3_seq_4(B)=k3_seq_4(C) &  (k2_seq_4(C)=k3_seq_4(D) & k2_seq_4(D)=k2_seq_4(B)) ) ) ) )  =>  (r1_tarski(C, B) &  (r1_tarski(D, B) & k2_integra5(B, k2_fdiff_1(A, E))=k2_xcmplx_0(k2_integra5(C, k2_fdiff_1(A, E)), k2_integra5(D, k2_fdiff_1(A, E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_integra5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) => k3_integra5(A, B)=k1_rcomp_1(A, B)) ) ) ) ) ).
fof(d4_integra5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_xxreal_0(A, B) => k4_integra5(A, B, C)=k2_integra5(k3_integra5(A, B), C))  &  ( ~ (r1_xxreal_0(A, B))  => k4_integra5(A, B, C)=k4_xcmplx_0(k2_integra5(k3_integra5(B, A), C))) ) ) ) ) ) ) ) ).
fof(t19_integra5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (B=k1_rcomp_1(C, D) => k2_integra5(B, A)=k4_integra5(C, D, A)) ) ) ) ) ) ) ) ) ).
fof(t20_integra5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (B=k1_rcomp_1(D, C) => k4_xcmplx_0(k2_integra5(B, A))=k4_integra5(C, D, A)) ) ) ) ) ) ) ) ) ).
fof(t21_integra5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  ( (r2_fdiff_1(B, D) &  (r2_fdiff_1(C, D) &  (r1_tarski(A, D) &  (r1_integra5(A, k2_fdiff_1(B, D)) &  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, k2_fdiff_1(B, D), A)) &  (r1_integra5(A, k2_fdiff_1(C, D)) & v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, k2_fdiff_1(C, D), A))) ) ) ) ) )  => k2_integra5(A, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k2_fdiff_1(B, D), C))=k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(B, k2_seq_4(A)), k1_funct_1(C, k2_seq_4(A))), k3_xcmplx_0(k1_funct_1(B, k3_seq_4(A)), k1_funct_1(C, k3_seq_4(A)))), k2_integra5(A, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k2_fdiff_1(C, D))))) ) ) ) ) ) ) ) ) ).
fof(dt_k1_integra5, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (v1_funct_1(k1_integra5(A, B)) & m1_subset_1(k1_integra5(A, B), k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) ) ) ).
fof(redefinition_k1_integra5, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  => k1_integra5(A, B)=k5_relat_1(A, B)) ) ).
fof(dt_k2_integra5, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => v1_xreal_0(k2_integra5(A, B))) ) ).
fof(dt_k3_integra5, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  =>  ( ~ (v1_xboole_0(k3_integra5(A, B)))  &  (v2_measure5(k3_integra5(A, B)) & m1_subset_1(k3_integra5(A, B), k1_zfmisc_1(k1_numbers))) ) ) ) ).
fof(dt_k4_integra5, axiom,  (! [A, B, C] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  => v1_xreal_0(k4_integra5(A, B, C))) ) ).
fof(t1_integra6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(A, B) &  (r1_xxreal_0(C, D) & k2_xcmplx_0(A, C)=k2_xcmplx_0(B, D)) )  =>  (A=B & C=D) ) ) ) ) ) ) ) ) ) ).
fof(t2_integra6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (r1_xxreal_0(A, B) => r1_tarski(k2_rcomp_1(k6_xcmplx_0(C, A), k2_xcmplx_0(C, A)), k2_rcomp_1(k6_xcmplx_0(C, B), k2_xcmplx_0(C, B)))) ) ) ) ) ) ) ).
fof(t3_integra6, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (! [D] :  ( (r1_tarski(B, C) & r1_tarski(B, D))  => k5_relat_1(k5_relat_1(A, C), B)=k5_relat_1(k5_relat_1(A, D), B)) ) ) ) ) ) ).
fof(t4_integra6, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r1_tarski(A, B) & r1_tarski(A, C))  => k2_partfun1(B, k1_numbers, k7_rfunct_1(B, B), A)=k2_partfun1(C, k1_numbers, k7_rfunct_1(C, C), A)) ) ) ) ).
fof(t5_integra6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) => k3_integra1(k3_integra5(A, B))=k6_xcmplx_0(B, A)) ) ) ) ) ).
fof(t6_integra6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k3_integra1(k3_integra5(k3_xxreal_0(A, B), k4_xxreal_0(A, B)))=k9_complex1(k6_xcmplx_0(B, A))) ) ) ) ).
fof(t7_integra6, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_xtuple_0(B)) &  (r1_integra5(A, B) & v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, B, A))) )  =>  (r1_integra5(A, k56_valued_1(k1_numbers, k1_numbers, B)) & r1_xxreal_0(k9_complex1(k2_integra5(A, B)), k2_integra5(A, k56_valued_1(k1_numbers, k1_numbers, B)))) ) ) ) ) ) ).
fof(t8_integra6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_xxreal_0(A, B) &  (r1_tarski(k3_integra5(A, B), k9_xtuple_0(C)) &  (r1_integra5(k3_integra5(A, B), C) & v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, C, k3_integra5(A, B)))) ) )  => r1_xxreal_0(k9_complex1(k4_integra5(A, B, C)), k4_integra5(A, B, k56_valued_1(k1_numbers, k1_numbers, C)))) ) ) ) ) ) ) ).
fof(t9_integra6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(B, k9_xtuple_0(C)) &  (r1_integra5(B, C) & v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, C, B))) )  =>  (r1_integra5(B, k26_valued_1(k1_numbers, k1_numbers, C, A)) & k2_integra5(B, k26_valued_1(k1_numbers, k1_numbers, C, A))=k3_xcmplx_0(A, k2_integra5(B, C))) ) ) ) ) ) ) ) ).
fof(t10_integra6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_xxreal_0(A, B) &  (r1_tarski(k3_integra5(A, B), k9_xtuple_0(D)) &  (r1_integra5(k3_integra5(A, B), D) & v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, D, k3_integra5(A, B)))) ) )  => k4_integra5(A, B, k26_valued_1(k1_numbers, k1_numbers, D, C))=k3_xcmplx_0(C, k4_integra5(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t11_integra6, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_xtuple_0(B)) &  (r1_tarski(A, k9_xtuple_0(C)) &  (r1_integra5(A, B) &  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, B, A)) &  (r1_integra5(A, C) & v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, C, A))) ) ) ) )  =>  (r1_integra5(A, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C)) &  (r1_integra5(A, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C)) &  (k2_integra5(A, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C))=k2_xcmplx_0(k2_integra5(A, B), k2_integra5(A, C)) & k2_integra5(A, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C))=k6_xcmplx_0(k2_integra5(A, B), k2_integra5(A, C))) ) ) ) ) ) ) ) ) ) ).
fof(t12_integra6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_xxreal_0(A, B) &  (r1_tarski(k3_integra5(A, B), k9_xtuple_0(C)) &  (r1_tarski(k3_integra5(A, B), k9_xtuple_0(D)) &  (r1_integra5(k3_integra5(A, B), C) &  (r1_integra5(k3_integra5(A, B), D) &  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, C, k3_integra5(A, B))) & v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, D, k3_integra5(A, B)))) ) ) ) ) )  =>  (k4_integra5(A, B, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D))=k2_xcmplx_0(k4_integra5(A, B, C), k4_integra5(A, B, D)) & k4_integra5(A, B, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D))=k6_xcmplx_0(k4_integra5(A, B, C), k4_integra5(A, B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t13_integra6, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, B, A)) & v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, C, A)))  => v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A))) ) ) ) ) ) ) ).
fof(t14_integra6, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k9_xtuple_0(B)) &  (r1_tarski(A, k9_xtuple_0(C)) &  (r1_integra5(A, B) &  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, B, A)) &  (r1_integra5(A, C) & v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, C, A))) ) ) ) )  => r1_integra5(A, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C))) ) ) ) ) ) ) ).
fof(t15_integra6, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  ( ~ (r1_xxreal_0(k3_integra1(A), k5_numbers))  &  (! [C] :  (m1_integra1(C, A) =>  ~ ( (k3_finseq_1(C)=B &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(C)) => k1_funct_1(C, D)=k2_xcmplx_0(k3_seq_4(A), k3_xcmplx_0(k7_xcmplx_0(k3_integra1(A), B), D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_integra6, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  ~ ( ( ~ (r1_xxreal_0(k3_integra1(A), k5_numbers))  &  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_integra1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_integra1(A))))) )  =>  ~ ( (v2_comseq_2(k2_integra3(A, B)) &  (k1_seq_2(k2_integra3(A, B))=k5_numbers &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (? [D] :  (m1_integra1(D, A) &  (r1_integra4(A, D, k1_nat_1(C, 1)) & k2_integra2(A, B, C)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_integra6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_xxreal_0(A, B) &  (r1_integra5(k3_integra5(A, B), D) &  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, D, k3_integra5(A, B))) &  (r1_tarski(k3_integra5(A, B), k9_xtuple_0(D)) & r2_hidden(C, k3_integra5(A, B))) ) ) )  =>  (r1_integra5(k3_integra5(A, C), D) &  (r1_integra5(k3_integra5(C, B), D) & k4_integra5(A, B, D)=k2_xcmplx_0(k4_integra5(A, C, D), k4_integra5(C, B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_integra6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_xxreal_0(A, C) &  (r1_xxreal_0(C, D) &  (r1_xxreal_0(D, B) &  (r1_integra5(k3_integra5(A, B), E) &  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, E, k3_integra5(A, B))) & r1_tarski(k3_integra5(A, B), k9_xtuple_0(E))) ) ) ) )  =>  (r1_integra5(k3_integra5(C, D), E) &  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, E, k3_integra5(C, D))) & r1_tarski(k3_integra5(C, D), k9_xtuple_0(E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_integra6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_xxreal_0(A, C) &  (r1_xxreal_0(C, D) &  (r1_xxreal_0(D, B) &  (r1_integra5(k3_integra5(A, B), E) &  (r1_integra5(k3_integra5(A, B), F) &  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, E, k3_integra5(A, B))) &  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, F, k3_integra5(A, B))) &  (r1_tarski(k3_integra5(A, B), k9_xtuple_0(E)) & r1_tarski(k3_integra5(A, B), k9_xtuple_0(F))) ) ) ) ) ) ) )  =>  (r1_integra5(k3_integra5(C, D), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, E, F)) & v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, E, F), k3_integra5(C, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_integra6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_xxreal_0(A, B) &  (r1_integra5(k3_integra5(A, B), E) &  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, E, k3_integra5(A, B))) &  (r1_tarski(k3_integra5(A, B), k9_xtuple_0(E)) &  (r2_hidden(C, k3_integra5(A, B)) & r2_hidden(D, k3_integra5(A, B))) ) ) ) )  => k4_integra5(A, D, E)=k2_xcmplx_0(k4_integra5(A, C, E), k4_integra5(C, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_integra6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_xxreal_0(A, B) &  (r1_integra5(k3_integra5(A, B), E) &  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, E, k3_integra5(A, B))) &  (r1_tarski(k3_integra5(A, B), k9_xtuple_0(E)) &  (r2_hidden(C, k3_integra5(A, B)) & r2_hidden(D, k3_integra5(A, B))) ) ) ) )  =>  (r1_tarski(k3_integra5(k3_xxreal_0(C, D), k4_xxreal_0(C, D)), k9_xtuple_0(k56_valued_1(k1_numbers, k1_numbers, E))) &  (r1_integra5(k3_integra5(k3_xxreal_0(C, D), k4_xxreal_0(C, D)), k56_valued_1(k1_numbers, k1_numbers, E)) &  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, k56_valued_1(k1_numbers, k1_numbers, E), k3_integra5(k3_xxreal_0(C, D), k4_xxreal_0(C, D)))) & r1_xxreal_0(k9_complex1(k4_integra5(C, D, E)), k4_integra5(k3_xxreal_0(C, D), k4_xxreal_0(C, D), k56_valued_1(k1_numbers, k1_numbers, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_integra6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_xxreal_0(A, B) &  (r1_xxreal_0(C, D) &  (r1_integra5(k3_integra5(A, B), E) &  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, E, k3_integra5(A, B))) &  (r1_tarski(k3_integra5(A, B), k9_xtuple_0(E)) &  (r2_hidden(C, k3_integra5(A, B)) & r2_hidden(D, k3_integra5(A, B))) ) ) ) ) )  =>  (r1_tarski(k3_integra5(C, D), k9_xtuple_0(k56_valued_1(k1_numbers, k1_numbers, E))) &  (r1_integra5(k3_integra5(C, D), k56_valued_1(k1_numbers, k1_numbers, E)) &  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, k56_valued_1(k1_numbers, k1_numbers, E), k3_integra5(C, D))) &  (r1_xxreal_0(k9_complex1(k4_integra5(C, D, E)), k4_integra5(C, D, k56_valued_1(k1_numbers, k1_numbers, E))) & r1_xxreal_0(k9_complex1(k4_integra5(D, C, E)), k4_integra5(C, D, k56_valued_1(k1_numbers, k1_numbers, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_integra6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_xxreal_0(A, B) &  (r1_xxreal_0(C, D) &  (r1_integra5(k3_integra5(A, B), F) &  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, F, k3_integra5(A, B))) &  (r1_tarski(k3_integra5(A, B), k9_xtuple_0(F)) &  (r2_hidden(C, k3_integra5(A, B)) &  (r2_hidden(D, k3_integra5(A, B)) &  (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, k3_integra5(C, D)) => r1_xxreal_0(k9_complex1(k1_funct_1(F, G)), E)) ) ) ) ) ) ) ) ) )  =>  (r1_xxreal_0(k9_complex1(k4_integra5(C, D, F)), k3_xcmplx_0(E, k6_xcmplx_0(D, C))) & r1_xxreal_0(k9_complex1(k4_integra5(D, C, F)), k3_xcmplx_0(E, k6_xcmplx_0(D, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_integra6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_xxreal_0(A, B) &  (r1_integra5(k3_integra5(A, B), E) &  (r1_integra5(k3_integra5(A, B), F) &  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, E, k3_integra5(A, B))) &  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, F, k3_integra5(A, B))) &  (r1_tarski(k3_integra5(A, B), k9_xtuple_0(E)) &  (r1_tarski(k3_integra5(A, B), k9_xtuple_0(F)) &  (r2_hidden(C, k3_integra5(A, B)) & r2_hidden(D, k3_integra5(A, B))) ) ) ) ) ) ) )  =>  (k4_integra5(C, D, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, E, F))=k2_xcmplx_0(k4_integra5(C, D, E), k4_integra5(C, D, F)) & k4_integra5(C, D, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, E, F))=k6_xcmplx_0(k4_integra5(C, D, E), k4_integra5(C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_integra6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_xxreal_0(A, B) &  (r1_integra5(k3_integra5(A, B), F) &  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, F, k3_integra5(A, B))) &  (r1_tarski(k3_integra5(A, B), k9_xtuple_0(F)) &  (r2_hidden(C, k3_integra5(A, B)) & r2_hidden(D, k3_integra5(A, B))) ) ) ) )  => k4_integra5(C, D, k26_valued_1(k1_numbers, k1_numbers, F, E))=k3_xcmplx_0(E, k4_integra5(C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_integra6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_xxreal_0(A, B) &  (r1_tarski(k3_integra5(A, B), k9_xtuple_0(D)) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k3_integra5(A, B)) => k1_funct_1(D, E)=C) ) ) ) )  =>  (r1_integra5(k3_integra5(A, B), D) &  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, D, k3_integra5(A, B))) & k4_integra5(A, B, D)=k3_xcmplx_0(C, k6_xcmplx_0(B, A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_integra6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_xxreal_0(A, B) &  ( (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, k3_integra5(A, B)) => k1_funct_1(F, G)=E) ) )  &  (r1_tarski(k3_integra5(A, B), k9_xtuple_0(F)) &  (r2_hidden(C, k3_integra5(A, B)) & r2_hidden(D, k3_integra5(A, B))) ) ) )  => k4_integra5(C, D, F)=k3_xcmplx_0(E, k6_xcmplx_0(D, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_integra6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_xxreal_0(A, B) &  (r1_integra5(k3_integra5(A, B), C) &  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, C, k3_integra5(A, B))) &  (r1_tarski(k3_integra5(A, B), k9_xtuple_0(C)) &  (r1_tarski(k2_rcomp_1(A, B), k9_xtuple_0(E)) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, k2_rcomp_1(A, B)) => k1_funct_1(E, F)=k4_integra5(A, F, C)) ) )  &  (r2_hidden(D, k2_rcomp_1(A, B)) & r1_fcont_1(C, D)) ) ) ) ) ) )  =>  (r1_fdiff_1(E, D) & k1_fdiff_1(E, D)=k1_funct_1(C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_integra6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( (r1_xxreal_0(A, B) &  (r1_integra5(k3_integra5(A, B), C) &  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, C, k3_integra5(A, B))) &  (r1_tarski(k3_integra5(A, B), k9_xtuple_0(C)) &  (r2_hidden(D, k2_rcomp_1(A, B)) &  (r1_fcont_1(C, D) &  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ~ ( (r1_tarski(k2_rcomp_1(A, B), k9_xtuple_0(E)) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, k2_rcomp_1(A, B)) => k1_funct_1(E, F)=k4_integra5(A, F, C)) ) )  &  (r1_fdiff_1(E, D) & k1_fdiff_1(E, D)=k1_funct_1(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_integra7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  ( (v4_xxreal_2(k1_rvsum_1(C)) &  (v4_xxreal_2(k1_rvsum_1(D)) &  (! [E] :  (r2_tarski(E, B) => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k1_funct_1(C, E), k1_funct_1(D, E))), A)) ) ) )  =>  (r1_xxreal_0(k6_xcmplx_0(k2_seq_4(k1_rvsum_1(C)), k2_seq_4(k1_rvsum_1(D))), A) & r1_xxreal_0(k6_xcmplx_0(k2_seq_4(k1_rvsum_1(D)), k2_seq_4(k1_rvsum_1(C))), A)) ) ) ) ) ) ) ) ) ) ).
fof(t2_integra7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  ( (v3_xxreal_2(k1_rvsum_1(C)) &  (v3_xxreal_2(k1_rvsum_1(D)) &  (! [E] :  (r2_tarski(E, B) => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k1_funct_1(C, E), k1_funct_1(D, E))), A)) ) ) )  =>  (r1_xxreal_0(k6_xcmplx_0(k3_seq_4(k1_rvsum_1(C)), k3_seq_4(k1_rvsum_1(D))), A) & r1_xxreal_0(k6_xcmplx_0(k3_seq_4(k1_rvsum_1(D)), k3_seq_4(k1_rvsum_1(C))), A)) ) ) ) ) ) ) ) ) ) ).
fof(t3_integra7, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, k2_partfun1(k1_numbers, k1_numbers, B, A), A)) => v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) ).
fof(t4_integra7, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  ( (r2_hidden(C, A) & r1_fdiff_1(k2_partfun1(k1_numbers, k1_numbers, B, A), C))  => r1_fdiff_1(B, C)) ) ) ) ) ) ).
fof(t5_integra7, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r2_fdiff_1(k2_partfun1(k1_numbers, k1_numbers, B, A), A) => r2_fdiff_1(B, A)) ) ) ) ).
fof(t6_integra7, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_fdiff_1(B, A) & r2_fdiff_1(C, A))  =>  (r2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A) &  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A) & r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ) ).
fof(t7_integra7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r2_fdiff_1(C, B) => r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, C, A), B)) ) ) ) ) ) ).
fof(t8_integra7, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( ( (! [D] :  ~ ( (r2_tarski(D, A) & k1_funct_1(C, D)=k5_numbers) ) )  &  (r2_fdiff_1(B, A) & r2_fdiff_1(C, A)) )  => r2_fdiff_1(k3_rfunct_1(k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ).
fof(t9_integra7, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( ( (! [C] :  ~ ( (r2_tarski(C, A) & k1_funct_1(B, C)=k5_numbers) ) )  & r2_fdiff_1(B, A))  => r2_fdiff_1(k6_rfunct_1(k1_numbers, k1_numbers, B), A)) ) ) ) ).
fof(t10_integra7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_xxreal_0(A, B) &  (r1_tarski(k3_integra5(A, B), C) &  (r2_fdiff_1(D, C) &  (r1_integra5(k3_integra5(A, B), k2_fdiff_1(D, C)) & v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, k2_fdiff_1(D, C), k3_integra5(A, B)))) ) ) )  => k1_funct_1(D, B)=k2_xcmplx_0(k4_integra5(A, B, k2_fdiff_1(D, C)), k1_funct_1(D, A))) ) ) ) ) ) ) ) ).
fof(d1_integra7, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  (C=k1_integra7(A, B) <=>  (! [D] :  (r2_tarski(D, C) <=>  (? [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  &  (D=E &  (r2_fdiff_1(E, A) & r2_relset_1(k1_numbers, k1_numbers, k2_fdiff_1(E, A), k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_integra7, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_integra7(A, B, C) <=> r2_tarski(B, k1_integra7(A, C))) ) ) ) ) ) ).
fof(t11_integra7, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_integra7(A, C, B) => r1_tarski(A, k1_relset_1(k1_numbers, C))) ) ) ) ) ) ).
fof(t12_integra7, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_integra7(A, D, B) & r1_integra7(A, E, C))  =>  (r1_integra7(A, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, D, E), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C)) & r1_integra7(A, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, D, E), k47_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_integra7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_integra7(B, D, C) => r1_integra7(B, k26_valued_1(k1_numbers, k1_numbers, D, A), k26_valued_1(k1_numbers, k1_numbers, C, A))) ) ) ) ) ) ) ) ).
fof(t14_integra7, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_integra7(A, D, B) & r1_integra7(A, E, C))  => r1_integra7(A, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, D, E), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, E), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, D, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t15_integra7, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( ( (! [F] :  ~ ( (r2_tarski(F, A) & k1_funct_1(E, F)=k5_numbers) ) )  &  (r1_integra7(A, D, B) & r1_integra7(A, E, C)) )  => r1_integra7(A, k3_rfunct_1(k1_numbers, k1_numbers, D, E), k3_rfunct_1(k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, E), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, D, C)), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, E, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t16_integra7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_xxreal_0(A, B) &  (r1_tarski(k3_integra5(A, B), k1_relset_1(k1_numbers, C)) &  (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, k3_integra5(A, B))) &  (r1_tarski(k2_rcomp_1(A, B), k1_relset_1(k1_numbers, D)) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k2_rcomp_1(A, B)) => k1_funct_1(D, E)=k2_xcmplx_0(k4_integra5(A, E, C), k1_funct_1(D, A))) ) ) ) ) ) )  => r1_integra7(k2_rcomp_1(A, B), D, C)) ) ) ) ) ) ) ) ) ).
fof(t17_integra7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, k1_rcomp_1(A, B))) &  (r1_tarski(k1_rcomp_1(A, B), k1_relset_1(k1_numbers, C)) &  (r2_hidden(E, k2_rcomp_1(A, B)) &  (r2_hidden(F, k2_rcomp_1(A, B)) & r1_integra7(k2_rcomp_1(A, B), D, C)) ) ) )  => k1_funct_1(D, E)=k2_xcmplx_0(k4_integra5(F, E, C), k1_funct_1(D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_integra7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_xxreal_0(A, B) &  (r1_tarski(k3_integra5(A, B), C) &  (r1_integra7(C, E, D) &  (r1_integra5(k3_integra5(A, B), D) & v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, D, k3_integra5(A, B)))) ) ) )  => k1_funct_1(E, B)=k2_xcmplx_0(k4_integra5(A, B, D), k1_funct_1(E, A))) ) ) ) ) ) ) ) ) ) ).
fof(t19_integra7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_xxreal_0(A, B) &  (r1_tarski(k1_rcomp_1(A, B), C) &  (r1_tarski(C, k1_relset_1(k1_numbers, D)) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, D, C))) ) )  =>  (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, D, k3_integra5(A, B))) &  (r1_integra5(k3_integra5(A, B), D) & v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, D, k3_integra5(A, B)))) ) ) ) ) ) ) ) ) ) ).
fof(t20_integra7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_xxreal_0(A, B) &  (r1_tarski(k1_rcomp_1(A, B), C) &  (r1_tarski(C, k1_relset_1(k1_numbers, D)) &  (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, D, C)) & r1_integra7(C, E, D)) ) ) )  => k1_funct_1(E, B)=k2_xcmplx_0(k4_integra5(A, B, D), k1_funct_1(E, A))) ) ) ) ) ) ) ) ) ) ).
fof(t21_integra7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_xxreal_0(B, A) &  (r1_tarski(k3_integra5(B, A), C) &  (r1_integra5(k3_integra5(B, A), D) &  (r1_integra5(k3_integra5(B, A), E) &  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, D, k3_integra5(B, A))) &  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, E, k3_integra5(B, A))) &  (r1_tarski(C, k1_relset_1(k1_numbers, D)) &  (r1_tarski(C, k1_relset_1(k1_numbers, E)) &  (r1_integra7(C, F, D) & r1_integra7(C, G, E)) ) ) ) ) ) ) ) )  => k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(F, A), k1_funct_1(G, A)), k3_xcmplx_0(k1_funct_1(F, B), k1_funct_1(G, B)))=k2_xcmplx_0(k4_integra5(B, A, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, D, G)), k4_integra5(B, A, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, F, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_integra7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_xxreal_0(B, A) &  (r1_tarski(k1_rcomp_1(B, A), C) &  (r1_tarski(C, k1_relset_1(k1_numbers, D)) &  (r1_tarski(C, k1_relset_1(k1_numbers, E)) &  (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, D, C)) &  (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, E, C)) &  (r1_integra7(C, F, D) & r1_integra7(C, G, E)) ) ) ) ) ) )  => k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(F, A), k1_funct_1(G, A)), k3_xcmplx_0(k1_funct_1(F, B), k1_funct_1(G, B)))=k2_xcmplx_0(k4_integra5(B, A, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, D, G)), k4_integra5(B, A, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, F, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_integra7, axiom, r1_integra7(k1_numbers, k16_sin_cos, k18_sin_cos)).
fof(t24_integra7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k6_xcmplx_0(k1_funct_1(k16_sin_cos, B), k1_funct_1(k16_sin_cos, A))=k4_integra5(A, B, k18_sin_cos)) ) ) ) ).
fof(t25_integra7, axiom, r1_integra7(k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k18_sin_cos, k4_xcmplx_0(1)), k16_sin_cos)).
fof(t26_integra7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k6_xcmplx_0(k1_funct_1(k18_sin_cos, A), k1_funct_1(k18_sin_cos, B))=k4_integra5(A, B, k16_sin_cos)) ) ) ) ).
fof(t27_integra7, axiom, r1_integra7(k1_numbers, k22_sin_cos, k22_sin_cos)).
fof(t28_integra7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k6_xcmplx_0(k1_funct_1(k22_sin_cos, B), k1_funct_1(k22_sin_cos, A))=k4_integra5(A, B, k22_sin_cos)) ) ) ) ).
fof(t29_integra7, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => r1_integra7(k1_numbers, k1_taylor_1(k1_nat_1(A, 1)), k26_valued_1(k1_numbers, k1_numbers, k1_taylor_1(A), k1_nat_1(A, 1)))) ) ).
fof(t30_integra7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => k6_xcmplx_0(k1_funct_1(k1_taylor_1(k1_nat_1(C, 1)), B), k1_funct_1(k1_taylor_1(k1_nat_1(C, 1)), A))=k4_integra5(A, B, k26_valued_1(k1_numbers, k1_numbers, k1_taylor_1(C), k1_nat_1(C, 1)))) ) ) ) ) ) ).
fof(t31_integra7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(k1_numbers, k1_numbers)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(k1_numbers, k1_numbers))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( ( (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r1_integra5(k3_integra5(A, B), k1_seqfunc(k1_numbers, k1_numbers, C, E)) &  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, k1_seqfunc(k1_numbers, k1_numbers, C, E), k3_integra5(A, B))) & k1_funct_1(D, E)=k4_integra5(A, B, k1_seqfunc(k1_numbers, k1_numbers, C, E))) ) ) )  & r3_seqfunc(k1_numbers, C, k3_integra5(A, B)))  =>  (r1_xxreal_0(B, A) |  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, k11_seqfunc(k1_numbers, C, k3_integra5(A, B)), k3_integra5(A, B))) &  (r1_integra5(k3_integra5(A, B), k11_seqfunc(k1_numbers, C, k3_integra5(A, B))) &  (v2_comseq_2(D) & k1_seq_2(D)=k4_integra5(A, B, k11_seqfunc(k1_numbers, C, k3_integra5(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_integra8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k17_sin_cos(k2_xcmplx_0(A, k3_xcmplx_0(k2_nat_1(2, B), k28_sin_cos)))=k17_sin_cos(A)) ) ) ) ).
fof(t2_integra8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k17_sin_cos(k2_xcmplx_0(A, k3_xcmplx_0(k1_nat_1(k2_nat_1(2, B), 1), k28_sin_cos)))=k4_xcmplx_0(k17_sin_cos(A))) ) ) ) ).
fof(t3_integra8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k19_sin_cos(k2_xcmplx_0(A, k3_xcmplx_0(k2_nat_1(2, B), k28_sin_cos)))=k19_sin_cos(A)) ) ) ) ).
fof(t4_integra8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k19_sin_cos(k2_xcmplx_0(A, k3_xcmplx_0(k1_nat_1(k2_nat_1(2, B), 1), k28_sin_cos)))=k4_xcmplx_0(k19_sin_cos(A))) ) ) ) ).
fof(t5_integra8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r1_xxreal_0(k5_numbers, k17_sin_cos(k7_xcmplx_0(A, 2))) => k17_sin_cos(k7_xcmplx_0(A, 2))=k3_square_1(k7_xcmplx_0(k6_xcmplx_0(1, k19_sin_cos(A)), 2))) ) ) ).
fof(t6_integra8, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (r1_xxreal_0(k5_numbers, k17_sin_cos(k7_xcmplx_0(A, 2))))  => k17_sin_cos(k7_xcmplx_0(A, 2))=k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k6_xcmplx_0(1, k19_sin_cos(A)), 2)))) ) ) ).
fof(t7_integra8, axiom, k17_sin_cos(k7_xcmplx_0(k28_sin_cos, 4))=k7_xcmplx_0(k3_square_1(2), 2)).
fof(t8_integra8, axiom, k17_sin_cos(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 4)))=k4_xcmplx_0(k7_xcmplx_0(k3_square_1(2), 2))).
fof(t9_integra8, axiom, r1_tarski(k1_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k3_square_1(2), 2)), k7_xcmplx_0(k3_square_1(2), 2)), k2_rcomp_1(k4_xcmplx_0(1), 1))).
fof(t10_integra8, axiom, k2_sin_cos6(k7_xcmplx_0(k3_square_1(2), 2))=k7_xcmplx_0(k28_sin_cos, 4)).
fof(t11_integra8, axiom, k2_sin_cos6(k4_xcmplx_0(k7_xcmplx_0(k3_square_1(2), 2)))=k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 4))).
fof(t12_integra8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r1_xxreal_0(k5_numbers, k19_sin_cos(k7_xcmplx_0(A, 2))) => k19_sin_cos(k7_xcmplx_0(A, 2))=k3_square_1(k7_xcmplx_0(k2_xcmplx_0(1, k19_sin_cos(A)), 2))) ) ) ).
fof(t13_integra8, axiom, k19_sin_cos(k7_xcmplx_0(k28_sin_cos, 4))=k7_xcmplx_0(k3_square_1(2), 2)).
fof(t14_integra8, axiom, k19_sin_cos(k7_xcmplx_0(k3_xcmplx_0(3, k28_sin_cos), 4))=k4_xcmplx_0(k7_xcmplx_0(k3_square_1(2), 2))).
fof(t15_integra8, axiom, k4_sin_cos6(k7_xcmplx_0(k3_square_1(2), 2))=k7_xcmplx_0(k28_sin_cos, 4)).
fof(t16_integra8, axiom, k4_sin_cos6(k4_xcmplx_0(k7_xcmplx_0(k3_square_1(2), 2)))=k7_xcmplx_0(k3_xcmplx_0(3, k28_sin_cos), 4)).
fof(t17_integra8, axiom, k1_funct_1(k1_sin_cos2, 1)=k7_xcmplx_0(k6_xcmplx_0(k1_square_1(k4_power), 1), k3_xcmplx_0(2, k4_power))).
fof(t18_integra8, axiom, k1_funct_1(k3_sin_cos2, k5_numbers)=1).
fof(t19_integra8, axiom, k1_funct_1(k3_sin_cos2, 1)=k7_xcmplx_0(k2_xcmplx_0(k1_square_1(k4_power), 1), k3_xcmplx_0(2, k4_power))).
fof(t20_integra8, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v3_fdiff_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (v1_funct_1(k32_valued_1(k1_numbers, k1_numbers, A)) &  (v3_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, A)) & m1_subset_1(k32_valued_1(k1_numbers, k1_numbers, A), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ) ) ).
fof(t21_integra8, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v2_fdiff_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (v1_funct_1(k32_valued_1(k1_numbers, k1_numbers, A)) &  (v2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, A)) & m1_subset_1(k32_valued_1(k1_numbers, k1_numbers, A), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ) ) ).
fof(t22_integra8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (r1_fdiff_1(A, B) =>  (r1_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, A), B) & k1_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, A), B)=k4_xcmplx_0(k1_fdiff_1(A, B))) ) ) ) ) ) ).
fof(t23_integra8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, k9_xtuple_0(k32_valued_1(k1_numbers, k1_numbers, A))) & r2_fdiff_1(A, B))  =>  (r2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, A), B) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, B) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, A), B), C)=k4_xcmplx_0(k1_fdiff_1(A, C))) ) ) ) ) ) ) ) ) ).
fof(t24_integra8, axiom, r2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k16_sin_cos), k1_numbers)).
fof(t25_integra8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r1_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k18_sin_cos), A) & k1_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k18_sin_cos), A)=k1_funct_1(k16_sin_cos, A)) ) ) ).
fof(t26_integra8, axiom,  (r2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k18_sin_cos), k1_numbers) &  (! [A] :  (v1_xreal_0(A) =>  (r2_hidden(A, k1_numbers) => k1_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k18_sin_cos), A)=k1_funct_1(k16_sin_cos, A)) ) ) ) ).
fof(t27_integra8, axiom, k2_fdiff_1(k16_sin_cos, k1_numbers)=k18_sin_cos).
fof(t28_integra8, axiom, k2_fdiff_1(k18_sin_cos, k1_numbers)=k32_valued_1(k1_numbers, k1_numbers, k16_sin_cos)).
fof(t29_integra8, axiom, k2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k18_sin_cos), k1_numbers)=k16_sin_cos).
fof(t30_integra8, axiom, k2_fdiff_1(k1_sin_cos2, k1_numbers)=k3_sin_cos2).
fof(t31_integra8, axiom, k2_fdiff_1(k3_sin_cos2, k1_numbers)=k1_sin_cos2).
fof(t32_integra8, axiom, k2_fdiff_1(k22_sin_cos, k1_numbers)=k22_sin_cos).
fof(t33_integra8, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k9_xtuple_0(k26_sin_cos)) =>  (r2_fdiff_1(k26_sin_cos, A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k26_sin_cos, A), B)=k7_xcmplx_0(1, k1_square_1(k1_funct_1(k18_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t34_integra8, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k9_xtuple_0(k27_sin_cos)) =>  (r2_fdiff_1(k27_sin_cos, A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k27_sin_cos, A), B)=k4_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k16_sin_cos, B))))) ) ) ) ) ) ) ).
fof(t35_integra8, axiom,  (! [A] :  (v1_xreal_0(A) => r1_tarski(k10_xtuple_0(k7_funcop_1(k1_numbers, A)), k1_numbers)) ) ).
fof(d1_integra8, axiom,  (! [A] :  (v1_xreal_0(A) => k1_integra8(A)=k7_funcop_1(k1_numbers, A)) ) ).
fof(t36_integra8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  => k7_rfunct_1(C, C)=k2_partfun1(k1_numbers, k1_numbers, k1_integra8(1), C)) ) ) ) ) ) ).
fof(t37_integra8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  (C=k1_rcomp_1(A, B) =>  (k2_seq_4(C)=B & k3_seq_4(C)=A) ) ) ) ) ) ) ) ).
fof(t38_integra8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) => k4_integra5(A, B, k1_integra8(1))=k6_xcmplx_0(B, A)) ) ) ) ) ).
fof(t39_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  => k2_integra5(A, k18_sin_cos)=k6_xcmplx_0(k1_funct_1(k16_sin_cos, k2_seq_4(A)), k1_funct_1(k16_sin_cos, k3_seq_4(A)))) ) ).
fof(t40_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (A=k1_rcomp_1(k5_numbers, k7_xcmplx_0(k28_sin_cos, 2)) => k2_integra5(A, k18_sin_cos)=1) ) ) ).
fof(t41_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (A=k1_rcomp_1(k5_numbers, k28_sin_cos) => k2_integra5(A, k18_sin_cos)=k5_numbers) ) ) ).
fof(t42_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (A=k1_rcomp_1(k5_numbers, k7_xcmplx_0(k3_xcmplx_0(k28_sin_cos, 3), 2)) => k2_integra5(A, k18_sin_cos)=k4_xcmplx_0(1)) ) ) ).
fof(t43_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (A=k1_rcomp_1(k5_numbers, k3_xcmplx_0(k28_sin_cos, 2)) => k2_integra5(A, k18_sin_cos)=k5_numbers) ) ) ).
fof(t44_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (A=k1_rcomp_1(k3_xcmplx_0(k2_nat_1(2, B), k28_sin_cos), k3_xcmplx_0(k1_nat_1(k2_nat_1(2, B), 1), k28_sin_cos)) => k2_integra5(A, k18_sin_cos)=k5_numbers) ) ) ) ) ).
fof(t45_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (A=k1_rcomp_1(k2_xcmplx_0(B, k3_xcmplx_0(k2_nat_1(2, C), k28_sin_cos)), k2_xcmplx_0(B, k3_xcmplx_0(k1_nat_1(k2_nat_1(2, C), 1), k28_sin_cos))) => k2_integra5(A, k18_sin_cos)=k4_xcmplx_0(k3_xcmplx_0(2, k17_sin_cos(B)))) ) ) ) ) ) ) ).
fof(t46_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  => k2_integra5(A, k32_valued_1(k1_numbers, k1_numbers, k16_sin_cos))=k6_xcmplx_0(k1_funct_1(k18_sin_cos, k2_seq_4(A)), k1_funct_1(k18_sin_cos, k3_seq_4(A)))) ) ).
fof(t47_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (A=k1_rcomp_1(k5_numbers, k7_xcmplx_0(k28_sin_cos, 2)) => k2_integra5(A, k32_valued_1(k1_numbers, k1_numbers, k16_sin_cos))=k4_xcmplx_0(1)) ) ) ).
fof(t48_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (A=k1_rcomp_1(k5_numbers, k28_sin_cos) => k2_integra5(A, k32_valued_1(k1_numbers, k1_numbers, k16_sin_cos))=k4_xcmplx_0(2)) ) ) ).
fof(t49_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (A=k1_rcomp_1(k5_numbers, k7_xcmplx_0(k3_xcmplx_0(k28_sin_cos, 3), 2)) => k2_integra5(A, k32_valued_1(k1_numbers, k1_numbers, k16_sin_cos))=k4_xcmplx_0(1)) ) ) ).
fof(t50_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (A=k1_rcomp_1(k5_numbers, k3_xcmplx_0(k28_sin_cos, 2)) => k2_integra5(A, k32_valued_1(k1_numbers, k1_numbers, k16_sin_cos))=k5_numbers) ) ) ).
fof(t51_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (A=k1_rcomp_1(k3_xcmplx_0(k2_nat_1(2, B), k28_sin_cos), k3_xcmplx_0(k1_nat_1(k2_nat_1(2, B), 1), k28_sin_cos)) => k2_integra5(A, k32_valued_1(k1_numbers, k1_numbers, k16_sin_cos))=k4_xcmplx_0(2)) ) ) ) ) ).
fof(t52_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (A=k1_rcomp_1(k2_xcmplx_0(B, k3_xcmplx_0(k2_nat_1(2, C), k28_sin_cos)), k2_xcmplx_0(B, k3_xcmplx_0(k1_nat_1(k2_nat_1(2, C), 1), k28_sin_cos))) => k2_integra5(A, k32_valued_1(k1_numbers, k1_numbers, k16_sin_cos))=k4_xcmplx_0(k3_xcmplx_0(2, k19_sin_cos(B)))) ) ) ) ) ) ) ).
fof(t53_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  => k2_integra5(A, k22_sin_cos)=k6_xcmplx_0(k1_funct_1(k22_sin_cos, k2_seq_4(A)), k1_funct_1(k22_sin_cos, k3_seq_4(A)))) ) ).
fof(t54_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (A=k1_rcomp_1(k5_numbers, 1) => k2_integra5(A, k22_sin_cos)=k6_xcmplx_0(k4_power, 1)) ) ) ).
fof(t55_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  => k2_integra5(A, k1_sin_cos2)=k6_xcmplx_0(k1_funct_1(k3_sin_cos2, k2_seq_4(A)), k1_funct_1(k3_sin_cos2, k3_seq_4(A)))) ) ).
fof(t56_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (A=k1_rcomp_1(k5_numbers, 1) => k2_integra5(A, k1_sin_cos2)=k7_xcmplx_0(k1_square_1(k6_xcmplx_0(k4_power, 1)), k3_xcmplx_0(2, k4_power))) ) ) ).
fof(t57_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  => k2_integra5(A, k3_sin_cos2)=k6_xcmplx_0(k1_funct_1(k1_sin_cos2, k2_seq_4(A)), k1_funct_1(k1_sin_cos2, k3_seq_4(A)))) ) ).
fof(t58_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (A=k1_rcomp_1(k5_numbers, 1) => k2_integra5(A, k3_sin_cos2)=k7_xcmplx_0(k6_xcmplx_0(k1_square_1(k4_power), 1), k3_xcmplx_0(2, k4_power))) ) ) ).
fof(t59_integra8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, C) &  (k9_xtuple_0(k26_sin_cos)=C &  (k9_xtuple_0(k26_sin_cos)=k9_xtuple_0(A) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) =>  (k1_funct_1(A, D)=k7_xcmplx_0(1, k1_square_1(k1_funct_1(k18_sin_cos, D))) &  ~ (k1_funct_1(k18_sin_cos, D)=k5_numbers) ) ) ) )  & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, A, B))) ) ) )  => k2_integra5(B, A)=k6_xcmplx_0(k1_funct_1(k26_sin_cos, k2_seq_4(B)), k1_funct_1(k26_sin_cos, k3_seq_4(B)))) ) ) ) ) ) ) ).
fof(t60_integra8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, C) &  (k9_xtuple_0(k27_sin_cos)=C &  (k9_xtuple_0(k27_sin_cos)=k9_xtuple_0(A) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) =>  (k1_funct_1(A, D)=k4_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k1_funct_1(k16_sin_cos, D)))) &  ~ (k1_funct_1(k16_sin_cos, D)=k5_numbers) ) ) ) )  & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, A, B))) ) ) )  => k2_integra5(B, A)=k6_xcmplx_0(k1_funct_1(k27_sin_cos, k2_seq_4(B)), k1_funct_1(k27_sin_cos, k3_seq_4(B)))) ) ) ) ) ) ) ).
fof(t61_integra8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  ( (k9_xtuple_0(k5_sin_cos2)=k9_xtuple_0(A) &  ( (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, k1_numbers) => k1_funct_1(A, C)=k7_xcmplx_0(1, k1_square_1(k1_funct_1(k3_sin_cos2, C)))) ) )  & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, A, B))) )  => k2_integra5(B, A)=k6_xcmplx_0(k1_funct_1(k5_sin_cos2, k2_seq_4(B)), k1_funct_1(k5_sin_cos2, k3_seq_4(B)))) ) ) ) ) ).
fof(t62_integra8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  ( (r1_tarski(B, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (k9_xtuple_0(k2_fdiff_1(k1_sin_cos6, k2_rcomp_1(k4_xcmplx_0(1), 1)))=k9_xtuple_0(A) &  ( (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, k2_rcomp_1(k4_xcmplx_0(1), 1)) & k1_funct_1(A, C)=k7_xcmplx_0(1, k3_square_1(k6_xcmplx_0(1, k1_square_1(C))))) ) )  & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, A, B))) ) )  => k2_integra5(B, A)=k6_xcmplx_0(k1_funct_1(k1_sin_cos6, k2_seq_4(B)), k1_funct_1(k1_sin_cos6, k3_seq_4(B)))) ) ) ) ) ).
fof(t63_integra8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  ( (r1_tarski(B, k2_rcomp_1(k4_xcmplx_0(1), 1)) &  (k9_xtuple_0(k2_fdiff_1(k3_sin_cos6, k2_rcomp_1(k4_xcmplx_0(1), 1)))=k9_xtuple_0(A) &  ( (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, k2_rcomp_1(k4_xcmplx_0(1), 1)) & k1_funct_1(A, C)=k4_xcmplx_0(k7_xcmplx_0(1, k3_square_1(k6_xcmplx_0(1, k1_square_1(C)))))) ) )  & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, A, B))) ) )  => k2_integra5(B, A)=k6_xcmplx_0(k1_funct_1(k3_sin_cos6, k2_seq_4(B)), k1_funct_1(k3_sin_cos6, k3_seq_4(B)))) ) ) ) ) ).
fof(t64_integra8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  ( (B=k1_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k3_square_1(2), 2)), k7_xcmplx_0(k3_square_1(2), 2)) &  (k9_xtuple_0(k2_fdiff_1(k1_sin_cos6, k2_rcomp_1(k4_xcmplx_0(1), 1)))=k9_xtuple_0(A) &  ( (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, k2_rcomp_1(k4_xcmplx_0(1), 1)) & k1_funct_1(A, C)=k7_xcmplx_0(1, k3_square_1(k6_xcmplx_0(1, k1_square_1(C))))) ) )  & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, A, B))) ) )  => k2_integra5(B, A)=k7_xcmplx_0(k28_sin_cos, 2)) ) ) ) ) ).
fof(t65_integra8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  ( (B=k1_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k3_square_1(2), 2)), k7_xcmplx_0(k3_square_1(2), 2)) &  (k9_xtuple_0(k2_fdiff_1(k3_sin_cos6, k2_rcomp_1(k4_xcmplx_0(1), 1)))=k9_xtuple_0(A) &  ( (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, k2_rcomp_1(k4_xcmplx_0(1), 1)) & k1_funct_1(A, C)=k4_xcmplx_0(k7_xcmplx_0(1, k3_square_1(k6_xcmplx_0(1, k1_square_1(C)))))) ) )  & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, A, B))) ) )  => k2_integra5(B, A)=k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 2))) ) ) ) ) ).
fof(t66_integra8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  ( (r2_fdiff_1(A, D) &  (r2_fdiff_1(B, D) &  (r1_tarski(C, D) &  (r1_integra5(C, k2_fdiff_1(A, D)) &  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, k2_fdiff_1(A, D), C)) &  (r1_integra5(C, k2_fdiff_1(B, D)) & v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, k2_fdiff_1(B, D), C))) ) ) ) ) )  => k2_integra5(C, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k2_fdiff_1(A, D), k2_fdiff_1(B, D)))=k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k1_funct_1(A, k2_seq_4(C)), k1_funct_1(A, k3_seq_4(C))), k1_funct_1(B, k2_seq_4(C))), k1_funct_1(B, k3_seq_4(C)))) ) ) ) ) ) ) ) ) ).
fof(t67_integra8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  ( (r2_fdiff_1(A, D) &  (r2_fdiff_1(B, D) &  (r1_tarski(C, D) &  (r1_integra5(C, k2_fdiff_1(A, D)) &  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, k2_fdiff_1(A, D), C)) &  (r1_integra5(C, k2_fdiff_1(B, D)) & v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, k2_fdiff_1(B, D), C))) ) ) ) ) )  => k2_integra5(C, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k2_fdiff_1(A, D), k2_fdiff_1(B, D)))=k6_xcmplx_0(k6_xcmplx_0(k1_funct_1(A, k2_seq_4(C)), k1_funct_1(A, k3_seq_4(C))), k6_xcmplx_0(k1_funct_1(B, k2_seq_4(C)), k1_funct_1(B, k3_seq_4(C))))) ) ) ) ) ) ) ) ) ).
fof(t68_integra8, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  ( (r2_fdiff_1(A, D) &  (r1_tarski(B, D) &  (r1_integra5(B, k2_fdiff_1(A, D)) & v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, k2_fdiff_1(A, D), B))) ) )  => k2_integra5(B, k26_valued_1(k1_numbers, k1_numbers, k2_fdiff_1(A, D), C))=k6_xcmplx_0(k3_xcmplx_0(C, k1_funct_1(A, k2_seq_4(B))), k3_xcmplx_0(C, k1_funct_1(A, k3_seq_4(B))))) ) ) ) ) ) ) ) ) ).
fof(t69_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  => k2_integra5(A, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos))=k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k18_sin_cos), k2_seq_4(A)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k18_sin_cos), k3_seq_4(A))), k1_funct_1(k16_sin_cos, k2_seq_4(A))), k1_funct_1(k16_sin_cos, k3_seq_4(A)))) ) ).
fof(t70_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (A=k1_rcomp_1(k5_numbers, k7_xcmplx_0(k28_sin_cos, 2)) => k2_integra5(A, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos))=2) ) ) ).
fof(t71_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (A=k1_rcomp_1(k5_numbers, k28_sin_cos) => k2_integra5(A, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos))=2) ) ) ).
fof(t72_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (A=k1_rcomp_1(k5_numbers, k7_xcmplx_0(k3_xcmplx_0(k28_sin_cos, 3), 2)) => k2_integra5(A, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos))=k5_numbers) ) ) ).
fof(t73_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (A=k1_rcomp_1(k5_numbers, k3_xcmplx_0(k28_sin_cos, 2)) => k2_integra5(A, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos))=k5_numbers) ) ) ).
fof(t74_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (A=k1_rcomp_1(k3_xcmplx_0(k2_nat_1(2, B), k28_sin_cos), k3_xcmplx_0(k1_nat_1(k2_nat_1(2, B), 1), k28_sin_cos)) => k2_integra5(A, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos))=2) ) ) ) ) ).
fof(t75_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (A=k1_rcomp_1(k2_xcmplx_0(B, k3_xcmplx_0(k2_nat_1(2, C), k28_sin_cos)), k2_xcmplx_0(B, k3_xcmplx_0(k1_nat_1(k2_nat_1(2, C), 1), k28_sin_cos))) => k2_integra5(A, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos))=k6_xcmplx_0(k3_xcmplx_0(2, k19_sin_cos(B)), k3_xcmplx_0(2, k17_sin_cos(B)))) ) ) ) ) ) ) ).
fof(t76_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  => k2_integra5(A, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos2, k3_sin_cos2))=k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k1_funct_1(k3_sin_cos2, k2_seq_4(A)), k1_funct_1(k3_sin_cos2, k3_seq_4(A))), k1_funct_1(k1_sin_cos2, k2_seq_4(A))), k1_funct_1(k1_sin_cos2, k3_seq_4(A)))) ) ).
fof(t77_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (A=k1_rcomp_1(k5_numbers, 1) => k2_integra5(A, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos2, k3_sin_cos2))=k6_xcmplx_0(k4_power, 1)) ) ) ).
fof(t78_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  => k2_integra5(A, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos))=k6_xcmplx_0(k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k18_sin_cos), k2_seq_4(A)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k18_sin_cos), k3_seq_4(A))), k6_xcmplx_0(k1_funct_1(k16_sin_cos, k2_seq_4(A)), k1_funct_1(k16_sin_cos, k3_seq_4(A))))) ) ).
fof(t79_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (A=k1_rcomp_1(k5_numbers, k7_xcmplx_0(k28_sin_cos, 2)) => k2_integra5(A, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos))=k5_numbers) ) ) ).
fof(t80_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (A=k1_rcomp_1(k5_numbers, k28_sin_cos) => k2_integra5(A, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos))=2) ) ) ).
fof(t81_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (A=k1_rcomp_1(k5_numbers, k7_xcmplx_0(k3_xcmplx_0(k28_sin_cos, 3), 2)) => k2_integra5(A, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos))=2) ) ) ).
fof(t82_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (A=k1_rcomp_1(k5_numbers, k3_xcmplx_0(k28_sin_cos, 2)) => k2_integra5(A, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos))=k5_numbers) ) ) ).
fof(t83_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (A=k1_rcomp_1(k3_xcmplx_0(k2_nat_1(2, B), k28_sin_cos), k3_xcmplx_0(k1_nat_1(k2_nat_1(2, B), 1), k28_sin_cos)) => k2_integra5(A, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos))=2) ) ) ) ) ).
fof(t84_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (A=k1_rcomp_1(k2_xcmplx_0(B, k3_xcmplx_0(k2_nat_1(2, C), k28_sin_cos)), k2_xcmplx_0(B, k3_xcmplx_0(k1_nat_1(k2_nat_1(2, C), 1), k28_sin_cos))) => k2_integra5(A, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos))=k2_xcmplx_0(k3_xcmplx_0(2, k19_sin_cos(B)), k3_xcmplx_0(2, k17_sin_cos(B)))) ) ) ) ) ) ) ).
fof(t85_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (v1_xreal_0(B) => k2_integra5(A, k26_valued_1(k1_numbers, k1_numbers, k16_sin_cos, B))=k6_xcmplx_0(k3_xcmplx_0(B, k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k18_sin_cos), k2_seq_4(A))), k3_xcmplx_0(B, k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k18_sin_cos), k3_seq_4(A))))) ) ) ) ).
fof(t86_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (v1_xreal_0(B) => k2_integra5(A, k26_valued_1(k1_numbers, k1_numbers, k18_sin_cos, B))=k6_xcmplx_0(k3_xcmplx_0(B, k1_funct_1(k16_sin_cos, k2_seq_4(A))), k3_xcmplx_0(B, k1_funct_1(k16_sin_cos, k3_seq_4(A))))) ) ) ) ).
fof(t87_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (v1_xreal_0(B) => k2_integra5(A, k26_valued_1(k1_numbers, k1_numbers, k1_sin_cos2, B))=k6_xcmplx_0(k3_xcmplx_0(B, k1_funct_1(k3_sin_cos2, k2_seq_4(A))), k3_xcmplx_0(B, k1_funct_1(k3_sin_cos2, k3_seq_4(A))))) ) ) ) ).
fof(t88_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (v1_xreal_0(B) => k2_integra5(A, k26_valued_1(k1_numbers, k1_numbers, k3_sin_cos2, B))=k6_xcmplx_0(k3_xcmplx_0(B, k1_funct_1(k1_sin_cos2, k2_seq_4(A))), k3_xcmplx_0(B, k1_funct_1(k1_sin_cos2, k3_seq_4(A))))) ) ) ) ).
fof(t89_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (v1_xreal_0(B) => k2_integra5(A, k26_valued_1(k1_numbers, k1_numbers, k22_sin_cos, B))=k6_xcmplx_0(k3_xcmplx_0(B, k1_funct_1(k22_sin_cos, k2_seq_4(A))), k3_xcmplx_0(B, k1_funct_1(k22_sin_cos, k3_seq_4(A))))) ) ) ) ).
fof(t90_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  => k2_integra5(A, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos))=k3_xcmplx_0(k7_xcmplx_0(1, 2), k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(k18_sin_cos, k3_seq_4(A)), k1_funct_1(k18_sin_cos, k3_seq_4(A))), k3_xcmplx_0(k1_funct_1(k18_sin_cos, k2_seq_4(A)), k1_funct_1(k18_sin_cos, k2_seq_4(A)))))) ) ).
fof(t91_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (A=k1_rcomp_1(k5_numbers, k7_xcmplx_0(k28_sin_cos, 2)) => k2_integra5(A, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos))=k7_xcmplx_0(1, 2)) ) ) ).
fof(t92_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (A=k1_rcomp_1(k5_numbers, k28_sin_cos) => k2_integra5(A, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos))=k5_numbers) ) ) ).
fof(t93_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (A=k1_rcomp_1(k5_numbers, k3_xcmplx_0(k28_sin_cos, k7_xcmplx_0(3, 2))) => k2_integra5(A, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos))=k7_xcmplx_0(1, 2)) ) ) ).
fof(t94_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (A=k1_rcomp_1(k5_numbers, k3_xcmplx_0(k28_sin_cos, 2)) => k2_integra5(A, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos))=k5_numbers) ) ) ).
fof(t95_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (A=k1_rcomp_1(k3_xcmplx_0(k2_nat_1(2, B), k28_sin_cos), k3_xcmplx_0(k1_nat_1(k2_nat_1(2, B), 1), k28_sin_cos)) => k2_integra5(A, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos))=k5_numbers) ) ) ) ) ).
fof(t96_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (A=k1_rcomp_1(k2_xcmplx_0(B, k3_xcmplx_0(k2_nat_1(2, C), k28_sin_cos)), k2_xcmplx_0(B, k3_xcmplx_0(k1_nat_1(k2_nat_1(2, C), 1), k28_sin_cos))) => k2_integra5(A, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos))=k5_numbers) ) ) ) ) ) ) ).
fof(t97_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  => k2_integra5(A, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k16_sin_cos))=k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(k18_sin_cos, k3_seq_4(A)), k1_funct_1(k16_sin_cos, k3_seq_4(A))), k3_xcmplx_0(k1_funct_1(k18_sin_cos, k2_seq_4(A)), k1_funct_1(k16_sin_cos, k2_seq_4(A)))), k2_integra5(A, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k18_sin_cos)))) ) ).
fof(t98_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  => k2_integra5(A, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos2, k1_sin_cos2))=k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(k3_sin_cos2, k2_seq_4(A)), k1_funct_1(k1_sin_cos2, k2_seq_4(A))), k3_xcmplx_0(k1_funct_1(k3_sin_cos2, k3_seq_4(A)), k1_funct_1(k1_sin_cos2, k3_seq_4(A)))), k2_integra5(A, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k3_sin_cos2, k3_sin_cos2)))) ) ).
fof(t99_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  => k2_integra5(A, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_sin_cos2, k3_sin_cos2))=k3_xcmplx_0(k7_xcmplx_0(1, 2), k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(k3_sin_cos2, k2_seq_4(A)), k1_funct_1(k3_sin_cos2, k2_seq_4(A))), k3_xcmplx_0(k1_funct_1(k3_sin_cos2, k3_seq_4(A)), k1_funct_1(k3_sin_cos2, k3_seq_4(A)))))) ) ).
fof(t100_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  => k2_integra5(A, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k22_sin_cos))=k3_xcmplx_0(k7_xcmplx_0(1, 2), k6_xcmplx_0(k1_square_1(k1_funct_1(k22_sin_cos, k2_seq_4(A))), k1_square_1(k1_funct_1(k22_sin_cos, k3_seq_4(A)))))) ) ).
fof(t101_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  => k2_integra5(A, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k18_sin_cos)))=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k16_sin_cos), k2_seq_4(A)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k16_sin_cos), k3_seq_4(A)))) ) ).
fof(t102_integra8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  => k2_integra5(A, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k18_sin_cos, k16_sin_cos)))=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k18_sin_cos), k2_seq_4(A)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k18_sin_cos), k3_seq_4(A)))) ) ).
fof(dt_k1_integra8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_funct_1(k1_integra8(A)) &  (v1_funct_2(k1_integra8(A), k1_numbers, k1_numbers) & m1_subset_1(k1_integra8(A), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ) ) ).
fof(t1_integra9, axiom,  (r2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k4_xcmplx_0(1), k5_numbers), k22_sin_cos)), k1_numbers) &  (! [A] :  (v1_xreal_0(A) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(k4_xcmplx_0(1), k5_numbers), k22_sin_cos)), k1_numbers), A)=k23_sin_cos(k4_xcmplx_0(A))) ) ) ).
fof(t2_integra9, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (A=k5_numbers)  =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, k5_numbers), k22_sin_cos), k7_xcmplx_0(1, A)), k1_numbers) &  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, k5_numbers), k22_sin_cos), k7_xcmplx_0(1, A)), k1_numbers), B)=k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, k5_numbers), k22_sin_cos), B)) ) ) ) ) ) ).
fof(t3_integra9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  ( ~ (A=k5_numbers)  => k2_integra5(B, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, k5_numbers), k22_sin_cos))=k6_xcmplx_0(k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, k5_numbers), k22_sin_cos), k7_xcmplx_0(1, A)), k2_seq_4(B)), k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, k5_numbers), k22_sin_cos), k7_xcmplx_0(1, A)), k3_seq_4(B)))) ) ) ) ) ).
fof(t4_integra9, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ( ~ (A=k5_numbers)  =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, k5_numbers), k18_sin_cos), k4_xcmplx_0(k7_xcmplx_0(1, A))), k1_numbers) &  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, k5_numbers), k18_sin_cos), k4_xcmplx_0(k7_xcmplx_0(1, A))), k1_numbers), B)=k17_sin_cos(k3_xcmplx_0(A, B))) ) ) ) ) ) ).
fof(t5_integra9, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  ( ~ (A=k5_numbers)  => k2_integra5(B, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, k5_numbers), k16_sin_cos))=k6_xcmplx_0(k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, k5_numbers), k18_sin_cos), k4_xcmplx_0(k7_xcmplx_0(1, A))), k2_seq_4(B)), k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, k5_numbers), k18_sin_cos), k4_xcmplx_0(k7_xcmplx_0(1, A))), k3_seq_4(B)))) ) ) ) ) ).
fof(t6_integra9, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ( ~ (A=k5_numbers)  =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, k5_numbers), k16_sin_cos), k7_xcmplx_0(1, A)), k1_numbers) &  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, k5_numbers), k16_sin_cos), k7_xcmplx_0(1, A)), k1_numbers), B)=k19_sin_cos(k3_xcmplx_0(A, B))) ) ) ) ) ) ).
fof(t7_integra9, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  ( ~ (A=k5_numbers)  => k2_integra5(B, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, k5_numbers), k18_sin_cos))=k6_xcmplx_0(k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, k5_numbers), k16_sin_cos), k7_xcmplx_0(1, A)), k2_seq_4(B)), k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(A, k5_numbers), k16_sin_cos), k7_xcmplx_0(1, A)), k3_seq_4(B)))) ) ) ) ) ).
fof(t8_integra9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, B) => k2_integra5(A, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k16_sin_cos))=k6_xcmplx_0(k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B)), k18_sin_cos), k16_sin_cos), k2_seq_4(A)), k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B)), k18_sin_cos), k16_sin_cos), k3_seq_4(A)))) ) ) ) ) ).
fof(t9_integra9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, B) => k2_integra5(A, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k18_sin_cos))=k6_xcmplx_0(k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k16_sin_cos), k18_sin_cos), k2_seq_4(A)), k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k16_sin_cos), k18_sin_cos), k3_seq_4(A)))) ) ) ) ) ).
fof(t10_integra9, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k18_sin_cos), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k18_sin_cos), A), B)=k6_xcmplx_0(k1_funct_1(k18_sin_cos, B), k3_xcmplx_0(B, k1_funct_1(k16_sin_cos, B)))) ) ) ) ) ) ).
fof(t11_integra9, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k16_sin_cos), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k18_sin_cos)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k16_sin_cos), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k18_sin_cos)), A), B)=k4_xcmplx_0(k3_xcmplx_0(B, k1_funct_1(k16_sin_cos, B)))) ) ) ) ) ) ).
fof(t12_integra9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, B) => k2_integra5(A, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B)), k16_sin_cos))=k6_xcmplx_0(k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k16_sin_cos), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k18_sin_cos)), k2_seq_4(A)), k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k16_sin_cos), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k18_sin_cos)), k3_seq_4(A)))) ) ) ) ) ).
fof(t13_integra9, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k18_sin_cos), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k16_sin_cos)), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k18_sin_cos), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k16_sin_cos)), A), B)=k4_xcmplx_0(k3_xcmplx_0(B, k1_funct_1(k18_sin_cos, B)))) ) ) ) ) ) ).
fof(t14_integra9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, B) => k2_integra5(A, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B)), k18_sin_cos))=k6_xcmplx_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k18_sin_cos), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k16_sin_cos)), k2_seq_4(A)), k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k18_sin_cos), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k16_sin_cos)), k3_seq_4(A)))) ) ) ) ) ).
fof(t15_integra9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, B) => k2_integra5(A, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k16_sin_cos, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k18_sin_cos)))=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k16_sin_cos), k2_seq_4(A)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k16_sin_cos), k3_seq_4(A)))) ) ) ) ) ).
fof(t16_integra9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, B) => k2_integra5(A, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k18_sin_cos), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B), k16_sin_cos)))=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B)), k18_sin_cos), k2_seq_4(A)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B)), k18_sin_cos), k3_seq_4(A)))) ) ) ) ) ).
fof(t17_integra9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  => k2_integra5(A, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_fcont_1(1, k5_numbers), k22_sin_cos))=k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k1_fcont_1(1, k4_xcmplx_0(1))), k2_seq_4(A)), k1_funct_1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k22_sin_cos, k1_fcont_1(1, k4_xcmplx_0(1))), k3_seq_4(A)))) ) ).
fof(t18_integra9, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (r2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_taylor_1(k2_xcmplx_0(A, 1)), k7_xcmplx_0(1, k2_xcmplx_0(A, 1))), k1_numbers) &  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers, k1_numbers, k1_taylor_1(k2_xcmplx_0(A, 1)), k7_xcmplx_0(1, k2_xcmplx_0(A, 1))), k1_numbers), B)=k3_prepower(B, A)) ) ) ) ) ).
fof(t19_integra9, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  => k2_integra5(B, k1_taylor_1(A))=k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1, k2_xcmplx_0(A, 1)), k1_newton(k2_seq_4(B), k2_xcmplx_0(A, 1))), k3_xcmplx_0(k7_xcmplx_0(1, k2_xcmplx_0(A, 1)), k1_newton(k3_seq_4(B), k2_xcmplx_0(A, 1))))) ) ) ) ).
fof(t20_integra9, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  => r2_relset_1(C, k1_numbers, k1_integra5(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), C), k47_valued_1(C, k1_numbers, k1_numbers, k1_integra5(A, C), k1_integra5(B, C)))) ) ) ) ) ) ).
fof(t21_integra9, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  => r2_relset_1(D, k1_numbers, k20_valued_1(D, k1_numbers, k1_numbers, k1_integra5(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), D), k1_integra5(C, D)), k1_integra5(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, C), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C)), D))) ) ) ) ) ) ) ) ).
fof(t22_integra9, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  => r2_relset_1(D, k1_numbers, k20_valued_1(D, k1_numbers, k1_numbers, k1_integra5(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), D), k1_integra5(C, D)), k1_integra5(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, C), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C)), D))) ) ) ) ) ) ) ) ).
fof(t23_integra9, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  => r2_relset_1(D, k1_numbers, k20_valued_1(D, k1_numbers, k1_numbers, k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), D), k1_integra5(C, D)), k20_valued_1(D, k1_numbers, k1_numbers, k1_integra5(A, D), k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), D)))) ) ) ) ) ) ) ) ).
fof(d1_integra9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  => k1_integra9(A, B, C)=k2_integra5(A, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C))) ) ) ) ) ) ).
fof(t24_integra9, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  => k1_integra9(C, A, B)=k1_integra9(C, B, A)) ) ) ) ) ) ).
fof(t25_integra9, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v2_measure5(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers))) )  =>  ( (v1_partfun1(k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, C), D), D) &  (v1_partfun1(k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), D), D) &  (v1_comseq_2(k2_partfun1(D, k1_numbers, k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, C), D), D)) &  (v3_integra1(k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, C), D), D) &  (v1_comseq_2(k2_partfun1(D, k1_numbers, k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), D), D)) & v3_integra1(k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), D), D)) ) ) ) )  => k1_integra9(D, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), C)=k2_xcmplx_0(k1_integra9(D, A, C), k1_integra9(D, B, C))) ) ) ) ) ) ) ) ) ).
fof(t26_integra9, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v2_measure5(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers))) )  =>  ( (v1_partfun1(k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, C), D), D) &  (v1_partfun1(k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), D), D) &  (v1_comseq_2(k2_partfun1(D, k1_numbers, k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, C), D), D)) &  (v3_integra1(k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, C), D), D) &  (v1_comseq_2(k2_partfun1(D, k1_numbers, k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), D), D)) & v3_integra1(k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), D), D)) ) ) ) )  => k1_integra9(D, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), C)=k6_xcmplx_0(k1_integra9(D, A, C), k1_integra9(D, B, C))) ) ) ) ) ) ) ) ) ).
fof(t27_integra9, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  ( (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), C)) &  (r1_integra5(C, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)) & r1_tarski(C, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)))) )  => k1_integra9(C, k32_valued_1(k1_numbers, k1_numbers, A), B)=k4_xcmplx_0(k1_integra9(C, A, B))) ) ) ) ) ) ) ).
fof(t28_integra9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v2_measure5(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers))) )  =>  ( (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), D)) &  (r1_integra5(D, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C)) & r1_tarski(D, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C)))) )  => k1_integra9(D, k26_valued_1(k1_numbers, k1_numbers, B, A), C)=k3_xcmplx_0(A, k1_integra9(D, B, C))) ) ) ) ) ) ) ) ) ).
fof(t29_integra9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v2_measure5(E) & m1_subset_1(E, k1_zfmisc_1(k1_numbers))) )  =>  ( (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), E)) &  (r1_integra5(E, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D)) & r1_tarski(E, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D)))) )  => k1_integra9(E, k26_valued_1(k1_numbers, k1_numbers, C, A), k26_valued_1(k1_numbers, k1_numbers, D, B))=k3_xcmplx_0(k3_xcmplx_0(A, B), k1_integra9(E, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_integra9, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v2_measure5(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers))) )  => k1_integra9(D, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), C)=k1_integra9(D, A, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C))) ) ) ) ) ) ) ) ).
fof(t31_integra9, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  ( (v1_partfun1(k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, A), C), C) &  (v1_partfun1(k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), C), C) &  (v1_partfun1(k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, B), C), C) &  (v1_comseq_2(k2_partfun1(C, k1_numbers, k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, A), C), C)) &  (v1_comseq_2(k2_partfun1(C, k1_numbers, k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), C), C)) &  (v1_comseq_2(k2_partfun1(C, k1_numbers, k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, B), C), C)) &  (r1_integra5(C, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, A)) &  (r1_integra5(C, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)) & r1_integra5(C, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, B))) ) ) ) ) ) ) )  => k1_integra9(C, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B))=k2_xcmplx_0(k2_xcmplx_0(k1_integra9(C, A, A), k3_xcmplx_0(2, k1_integra9(C, A, B))), k1_integra9(C, B, B))) ) ) ) ) ) ) ).
fof(d2_integra9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_integra9(A, B, C) <=> k1_integra9(A, B, C)=k5_numbers) ) ) ) ) ) ) ).
fof(t32_integra9, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  ( (v1_partfun1(k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, A), C), C) &  (v1_partfun1(k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), C), C) &  (v1_partfun1(k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, B), C), C) &  (v1_comseq_2(k2_partfun1(C, k1_numbers, k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, A), C), C)) &  (v1_comseq_2(k2_partfun1(C, k1_numbers, k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), C), C)) &  (v1_comseq_2(k2_partfun1(C, k1_numbers, k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, B), C), C)) &  (r1_integra5(C, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, A)) &  (r1_integra5(C, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)) &  (r1_integra5(C, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, B)) & r1_integra9(C, A, B)) ) ) ) ) ) ) ) )  => k1_integra9(C, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B))=k2_xcmplx_0(k1_integra9(C, A, A), k1_integra9(C, B, B))) ) ) ) ) ) ) ).
fof(t33_integra9, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  ( (v1_partfun1(k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, A), B), B) &  (v1_comseq_2(k2_partfun1(B, k1_numbers, k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, A), B), B)) &  (v3_integra1(k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, A), B), B) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, B) => r1_xxreal_0(k5_numbers, k1_funct_1(k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, A), B), C))) ) ) ) ) )  => r1_xxreal_0(k5_numbers, k1_integra9(B, A, A))) ) ) ) ) ).
fof(t34_integra9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (A=k1_rcomp_1(k5_numbers, k28_sin_cos) => r1_integra9(A, k16_sin_cos, k18_sin_cos)) ) ) ).
fof(t35_integra9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (A=k1_rcomp_1(k5_numbers, k3_xcmplx_0(k28_sin_cos, 2)) => r1_integra9(A, k16_sin_cos, k18_sin_cos)) ) ) ).
fof(t36_integra9, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (B=k1_rcomp_1(k3_xcmplx_0(k3_xcmplx_0(2, A), k28_sin_cos), k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2, A), 1), k28_sin_cos)) => r1_integra9(B, k16_sin_cos, k18_sin_cos)) ) ) ) ) ).
fof(t37_integra9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  (C=k1_rcomp_1(k2_xcmplx_0(A, k3_xcmplx_0(k3_xcmplx_0(2, B), k28_sin_cos)), k2_xcmplx_0(A, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2, B), 1), k28_sin_cos))) => r1_integra9(C, k16_sin_cos, k18_sin_cos)) ) ) ) ) ) ) ).
fof(t38_integra9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (A=k1_rcomp_1(k4_xcmplx_0(k28_sin_cos), k28_sin_cos) => r1_integra9(A, k16_sin_cos, k18_sin_cos)) ) ) ).
fof(t39_integra9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (A=k1_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 2)), k7_xcmplx_0(k28_sin_cos, 2)) => r1_integra9(A, k16_sin_cos, k18_sin_cos)) ) ) ).
fof(t40_integra9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (A=k1_rcomp_1(k4_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos)), k3_xcmplx_0(2, k28_sin_cos)) => r1_integra9(A, k16_sin_cos, k18_sin_cos)) ) ) ).
fof(t41_integra9, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (B=k1_rcomp_1(k4_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, A), k28_sin_cos)), k3_xcmplx_0(k3_xcmplx_0(2, A), k28_sin_cos)) => r1_integra9(B, k16_sin_cos, k18_sin_cos)) ) ) ) ) ).
fof(t42_integra9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  (C=k1_rcomp_1(k6_xcmplx_0(A, k3_xcmplx_0(k3_xcmplx_0(2, B), k28_sin_cos)), k2_xcmplx_0(A, k3_xcmplx_0(k3_xcmplx_0(2, B), k28_sin_cos))) => r1_integra9(C, k16_sin_cos, k18_sin_cos)) ) ) ) ) ) ) ).
fof(d3_integra9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  => k2_integra9(A, B)=k3_square_1(k1_integra9(A, B, B))) ) ) ) ).
fof(t43_integra9, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  ( (v1_partfun1(k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, A), B), B) &  (v1_comseq_2(k2_partfun1(B, k1_numbers, k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, A), B), B)) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, B) => r1_xxreal_0(k5_numbers, k1_funct_1(k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, A), B), C))) ) ) ) )  => r1_xxreal_0(k5_numbers, k2_integra9(B, A))) ) ) ) ) ).
fof(t44_integra9, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  => k2_integra9(B, k26_valued_1(k1_numbers, k1_numbers, A, 1))=k2_integra9(B, A)) ) ) ) ).
fof(t45_integra9, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  ( (v1_partfun1(k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, A), C), C) &  (v1_partfun1(k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), C), C) &  (v1_partfun1(k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, B), C), C) &  (v1_comseq_2(k2_partfun1(C, k1_numbers, k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, A), C), C)) &  (v1_comseq_2(k2_partfun1(C, k1_numbers, k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), C), C)) &  (v1_comseq_2(k2_partfun1(C, k1_numbers, k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, B), C), C)) &  (r1_integra5(C, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, A)) &  (r1_integra5(C, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)) &  (r1_integra5(C, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, B)) &  (r1_integra9(C, A, B) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => r1_xxreal_0(k5_numbers, k1_funct_1(k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, A), C), D))) ) )  &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => r1_xxreal_0(k5_numbers, k1_funct_1(k1_integra5(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, B), C), D))) ) ) ) ) ) ) ) ) ) ) ) ) )  => k1_square_1(k2_integra9(C, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)))=k2_xcmplx_0(k1_square_1(k2_integra9(C, A)), k1_square_1(k2_integra9(C, B)))) ) ) ) ) ) ) ).
fof(t46_integra9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  ( ~ (r2_hidden(k4_xcmplx_0(A), B))  => v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_fcont_1(1, A)), B))) ) ) ) ) ).
fof(t47_integra9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v3_rcomp_1(E) & m1_subset_1(E, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, E) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, E) =>  (k1_funct_1(C, F)=k2_xcmplx_0(A, F) &  ~ (k1_funct_1(C, F)=k5_numbers) ) ) ) )  &  (E=k1_relset_1(k1_numbers, C) &  (k1_relset_1(k1_numbers, C)=k1_relset_1(k1_numbers, D) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, E) => k1_funct_1(D, F)=k4_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k2_xcmplx_0(A, F))))) ) )  & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, D, B))) ) ) ) )  => k2_integra5(B, D)=k6_xcmplx_0(k1_funct_1(k6_rfunct_1(k1_numbers, k1_numbers, C), k2_seq_4(B)), k1_funct_1(k6_rfunct_1(k1_numbers, k1_numbers, C), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_integra9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v3_rcomp_1(E) & m1_subset_1(E, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, E) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, E) =>  (k1_funct_1(C, F)=k2_xcmplx_0(A, F) &  ~ (k1_funct_1(C, F)=k5_numbers) ) ) ) )  &  (k1_relset_1(k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, C), k4_xcmplx_0(1)))=E &  (k1_relset_1(k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, C), k4_xcmplx_0(1)))=k1_relset_1(k1_numbers, D) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, E) => k1_funct_1(D, F)=k7_xcmplx_0(1, k1_square_1(k2_xcmplx_0(A, F)))) ) )  & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, D, B))) ) ) ) )  => k2_integra5(B, D)=k6_xcmplx_0(k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, C), k4_xcmplx_0(1)), k2_seq_4(B)), k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, C), k4_xcmplx_0(1)), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_integra9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v3_rcomp_1(E) & m1_subset_1(E, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, E) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, E) =>  (k1_funct_1(C, F)=k6_xcmplx_0(A, F) &  ~ (k1_funct_1(C, F)=k5_numbers) ) ) ) )  &  (k1_relset_1(k1_numbers, C)=E &  (k1_relset_1(k1_numbers, C)=k1_relset_1(k1_numbers, D) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, E) => k1_funct_1(D, F)=k7_xcmplx_0(1, k1_square_1(k6_xcmplx_0(A, F)))) ) )  & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, D, B))) ) ) ) )  => k2_integra5(B, D)=k6_xcmplx_0(k1_funct_1(k6_rfunct_1(k1_numbers, k1_numbers, C), k2_seq_4(B)), k1_funct_1(k6_rfunct_1(k1_numbers, k1_numbers, C), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_integra9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v3_rcomp_1(E) & m1_subset_1(E, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, E) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, E) =>  (k1_funct_1(C, F)=k2_xcmplx_0(A, F) &  ~ (r1_xxreal_0(k1_funct_1(C, F), k5_numbers)) ) ) ) )  &  (k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k3_taylor_1))=E &  (k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k3_taylor_1))=k1_relset_1(k1_numbers, D) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, E) => k1_funct_1(D, F)=k7_xcmplx_0(1, k2_xcmplx_0(A, F))) ) )  & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, D, B))) ) ) ) )  => k2_integra5(B, D)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k3_taylor_1), k2_seq_4(B)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k3_taylor_1), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_integra9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v3_rcomp_1(E) & m1_subset_1(E, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, E) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, E) =>  (k1_funct_1(C, F)=k6_xcmplx_0(F, A) &  ~ (r1_xxreal_0(k1_funct_1(C, F), k5_numbers)) ) ) ) )  &  (k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k3_taylor_1))=E &  (k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k3_taylor_1))=k1_relset_1(k1_numbers, D) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, E) => k1_funct_1(D, F)=k7_xcmplx_0(1, k6_xcmplx_0(F, A))) ) )  & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, D, B))) ) ) ) )  => k2_integra5(B, D)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k3_taylor_1), k2_seq_4(B)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k3_taylor_1), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_integra9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v3_rcomp_1(E) & m1_subset_1(E, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, E) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, E) =>  (k1_funct_1(C, F)=k6_xcmplx_0(A, F) &  ~ (r1_xxreal_0(k1_funct_1(C, F), k5_numbers)) ) ) ) )  &  (k1_relset_1(k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k3_taylor_1)))=E &  (k1_relset_1(k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k3_taylor_1)))=k1_relset_1(k1_numbers, D) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, E) => k1_funct_1(D, F)=k7_xcmplx_0(1, k6_xcmplx_0(A, F))) ) )  & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, D, B))) ) ) ) )  => k2_integra5(B, D)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k3_taylor_1)), k2_seq_4(B)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k3_taylor_1)), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_integra9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v3_rcomp_1(F) & m1_subset_1(F, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, F) &  (r2_relset_1(k1_numbers, k1_numbers, C, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k3_taylor_1)) &  ( (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, F) =>  (k1_funct_1(D, G)=k2_xcmplx_0(A, G) &  ~ (r1_xxreal_0(k1_funct_1(D, G), k5_numbers)) ) ) ) )  &  (k1_relset_1(k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, F), k26_valued_1(k1_numbers, k1_numbers, C, A)))=F &  (F=k1_relset_1(k1_numbers, E) &  ( (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, F) => k1_funct_1(E, G)=k7_xcmplx_0(G, k2_xcmplx_0(A, G))) ) )  & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, E, B))) ) ) ) ) )  => k2_integra5(B, E)=k6_xcmplx_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, F), k26_valued_1(k1_numbers, k1_numbers, C, A)), k2_seq_4(B)), k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, F), k26_valued_1(k1_numbers, k1_numbers, C, A)), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_integra9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v3_rcomp_1(F) & m1_subset_1(F, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, F) &  (r2_relset_1(k1_numbers, k1_numbers, C, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k3_taylor_1)) &  ( (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, F) =>  (k1_funct_1(D, G)=k2_xcmplx_0(A, G) &  ~ (r1_xxreal_0(k1_funct_1(D, G), k5_numbers)) ) ) ) )  &  (k1_relset_1(k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, C, k3_xcmplx_0(2, A)), k1_partfun2(k1_numbers, F)))=F &  (F=k1_relset_1(k1_numbers, E) &  ( (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, F) => k1_funct_1(E, G)=k7_xcmplx_0(k6_xcmplx_0(A, G), k2_xcmplx_0(A, G))) ) )  & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, E, B))) ) ) ) ) )  => k2_integra5(B, E)=k6_xcmplx_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, C, k3_xcmplx_0(2, A)), k1_partfun2(k1_numbers, F)), k2_seq_4(B)), k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, C, k3_xcmplx_0(2, A)), k1_partfun2(k1_numbers, F)), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_integra9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v3_rcomp_1(F) & m1_subset_1(F, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, F) &  (r2_relset_1(k1_numbers, k1_numbers, C, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k3_taylor_1)) &  ( (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, F) =>  (k1_funct_1(D, G)=k2_xcmplx_0(G, A) &  ~ (r1_xxreal_0(k1_funct_1(D, G), k5_numbers)) ) ) ) )  &  (k1_relset_1(k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, F), k26_valued_1(k1_numbers, k1_numbers, C, k3_xcmplx_0(2, A))))=F &  (F=k1_relset_1(k1_numbers, E) &  ( (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, F) => k1_funct_1(E, G)=k7_xcmplx_0(k6_xcmplx_0(G, A), k2_xcmplx_0(G, A))) ) )  & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, E, B))) ) ) ) ) )  => k2_integra5(B, E)=k6_xcmplx_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, F), k26_valued_1(k1_numbers, k1_numbers, C, k3_xcmplx_0(2, A))), k2_seq_4(B)), k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, F), k26_valued_1(k1_numbers, k1_numbers, C, k3_xcmplx_0(2, A))), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_integra9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v3_rcomp_1(F) & m1_subset_1(F, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, F) &  (r2_relset_1(k1_numbers, k1_numbers, C, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, D, k3_taylor_1)) &  ( (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, F) =>  (k1_funct_1(D, G)=k6_xcmplx_0(G, A) &  ~ (r1_xxreal_0(k1_funct_1(D, G), k5_numbers)) ) ) ) )  &  (k1_relset_1(k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, F), k26_valued_1(k1_numbers, k1_numbers, C, k3_xcmplx_0(2, A))))=F &  (F=k1_relset_1(k1_numbers, E) &  ( (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, F) => k1_funct_1(E, G)=k7_xcmplx_0(k2_xcmplx_0(G, A), k6_xcmplx_0(G, A))) ) )  & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, E, B))) ) ) ) ) )  => k2_integra5(B, E)=k6_xcmplx_0(k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, F), k26_valued_1(k1_numbers, k1_numbers, C, k3_xcmplx_0(2, A))), k2_seq_4(B)), k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, F), k26_valued_1(k1_numbers, k1_numbers, C, k3_xcmplx_0(2, A))), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_integra9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [G] :  ( (v3_rcomp_1(G) & m1_subset_1(G, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(C, G) &  (r2_relset_1(k1_numbers, k1_numbers, D, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, E, k3_taylor_1)) &  ( (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, G) =>  (k1_funct_1(E, H)=k2_xcmplx_0(H, B) &  ~ (r1_xxreal_0(k1_funct_1(E, H), k5_numbers)) ) ) ) )  &  (k1_relset_1(k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, G), k26_valued_1(k1_numbers, k1_numbers, D, k6_xcmplx_0(A, B))))=G &  (G=k1_relset_1(k1_numbers, F) &  ( (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, G) => k1_funct_1(F, H)=k7_xcmplx_0(k2_xcmplx_0(H, A), k2_xcmplx_0(H, B))) ) )  & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, F, C))) ) ) ) ) )  => k2_integra5(C, F)=k6_xcmplx_0(k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, G), k26_valued_1(k1_numbers, k1_numbers, D, k6_xcmplx_0(A, B))), k2_seq_4(C)), k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, G), k26_valued_1(k1_numbers, k1_numbers, D, k6_xcmplx_0(A, B))), k3_seq_4(C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_integra9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [G] :  ( (v3_rcomp_1(G) & m1_subset_1(G, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(C, G) &  (r2_relset_1(k1_numbers, k1_numbers, D, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, E, k3_taylor_1)) &  ( (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, G) =>  (k1_funct_1(E, H)=k6_xcmplx_0(H, B) &  ~ (r1_xxreal_0(k1_funct_1(E, H), k5_numbers)) ) ) ) )  &  (k1_relset_1(k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, G), k26_valued_1(k1_numbers, k1_numbers, D, k2_xcmplx_0(A, B))))=G &  (G=k1_relset_1(k1_numbers, F) &  ( (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, G) => k1_funct_1(F, H)=k7_xcmplx_0(k2_xcmplx_0(H, A), k6_xcmplx_0(H, B))) ) )  & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, F, C))) ) ) ) ) )  => k2_integra5(C, F)=k6_xcmplx_0(k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, G), k26_valued_1(k1_numbers, k1_numbers, D, k2_xcmplx_0(A, B))), k2_seq_4(C)), k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, G), k26_valued_1(k1_numbers, k1_numbers, D, k2_xcmplx_0(A, B))), k3_seq_4(C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_integra9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [G] :  ( (v3_rcomp_1(G) & m1_subset_1(G, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(C, G) &  (r2_relset_1(k1_numbers, k1_numbers, D, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, E, k3_taylor_1)) &  ( (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, G) =>  (k1_funct_1(E, H)=k2_xcmplx_0(H, B) &  ~ (r1_xxreal_0(k1_funct_1(E, H), k5_numbers)) ) ) ) )  &  (k1_relset_1(k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, G), k26_valued_1(k1_numbers, k1_numbers, D, k2_xcmplx_0(A, B))))=G &  (G=k1_relset_1(k1_numbers, F) &  ( (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, G) => k1_funct_1(F, H)=k7_xcmplx_0(k6_xcmplx_0(H, A), k2_xcmplx_0(H, B))) ) )  & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, F, C))) ) ) ) ) )  => k2_integra5(C, F)=k6_xcmplx_0(k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, G), k26_valued_1(k1_numbers, k1_numbers, D, k2_xcmplx_0(A, B))), k2_seq_4(C)), k1_funct_1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, G), k26_valued_1(k1_numbers, k1_numbers, D, k2_xcmplx_0(A, B))), k3_seq_4(C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_integra9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [G] :  ( (v3_rcomp_1(G) & m1_subset_1(G, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(C, G) &  (r2_relset_1(k1_numbers, k1_numbers, D, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, E, k3_taylor_1)) &  ( (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, G) =>  (k1_funct_1(E, H)=k6_xcmplx_0(H, B) &  ~ (r1_xxreal_0(k1_funct_1(E, H), k5_numbers)) ) ) ) )  &  (k1_relset_1(k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, G), k26_valued_1(k1_numbers, k1_numbers, D, k6_xcmplx_0(B, A))))=G &  (G=k1_relset_1(k1_numbers, F) &  ( (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, G) => k1_funct_1(F, H)=k7_xcmplx_0(k6_xcmplx_0(H, A), k6_xcmplx_0(H, B))) ) )  & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, F, C))) ) ) ) ) )  => k2_integra5(C, F)=k6_xcmplx_0(k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, G), k26_valued_1(k1_numbers, k1_numbers, D, k6_xcmplx_0(B, A))), k2_seq_4(C)), k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun2(k1_numbers, G), k26_valued_1(k1_numbers, k1_numbers, D, k6_xcmplx_0(B, A))), k3_seq_4(C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_integra9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, B) &  (k1_relset_1(k1_numbers, k3_taylor_1)=B &  (B=k1_relset_1(k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B))) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B)), A))) ) )  => k2_integra5(A, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B)))=k6_xcmplx_0(k1_funct_1(k3_taylor_1, k2_seq_4(A)), k1_funct_1(k3_taylor_1, k3_seq_4(A)))) ) ) ) ) ).
fof(t62_integra9, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, D) &  ( (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, D) & r1_xxreal_0(E, k5_numbers)) ) ) )  &  (k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_taylor_1(A), k3_taylor_1))=D &  (k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_taylor_1(A), k3_taylor_1))=k1_relset_1(k1_numbers, C) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, D) => k1_funct_1(C, E)=k7_xcmplx_0(A, E)) ) )  & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, B))) ) ) ) )  => k2_integra5(B, C)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_taylor_1(A), k3_taylor_1), k2_seq_4(B)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k1_taylor_1(A), k3_taylor_1), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ).
fof(t63_integra9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  (k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C)), k3_taylor_1))=C &  (k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C)), k3_taylor_1))=k1_relset_1(k1_numbers, B) &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k4_xcmplx_0(k7_xcmplx_0(1, D))) ) )  & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  =>  (r2_tarski(k5_numbers, C) | k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C)), k3_taylor_1), k2_seq_4(A)), k1_funct_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C)), k3_taylor_1), k3_seq_4(A)))) ) ) ) ) ) ) ) ).
fof(t64_integra9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v3_rcomp_1(E) & m1_subset_1(E, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, E) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, E) =>  (k1_funct_1(C, F)=k2_xcmplx_0(A, F) &  ~ (r1_xxreal_0(k1_funct_1(C, F), k5_numbers)) ) ) ) )  &  (k1_relset_1(k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(3, 2))), k7_xcmplx_0(2, 3)))=E &  (k1_relset_1(k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(3, 2))), k7_xcmplx_0(2, 3)))=k1_relset_1(k1_numbers, D) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, E) => k1_funct_1(D, F)=k6_prepower(k2_xcmplx_0(A, F), k7_xcmplx_0(1, 2))) ) )  & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, D, B))) ) ) ) )  => k2_integra5(B, D)=k6_xcmplx_0(k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(3, 2))), k7_xcmplx_0(2, 3)), k2_seq_4(B)), k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(3, 2))), k7_xcmplx_0(2, 3)), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_integra9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v3_rcomp_1(E) & m1_subset_1(E, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, E) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, E) =>  (k1_funct_1(C, F)=k6_xcmplx_0(A, F) &  ~ (r1_xxreal_0(k1_funct_1(C, F), k5_numbers)) ) ) ) )  &  (k1_relset_1(k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(3, 2))), k4_xcmplx_0(k7_xcmplx_0(2, 3))))=E &  (k1_relset_1(k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(3, 2))), k4_xcmplx_0(k7_xcmplx_0(2, 3))))=k1_relset_1(k1_numbers, D) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, E) => k1_funct_1(D, F)=k6_prepower(k6_xcmplx_0(A, F), k7_xcmplx_0(1, 2))) ) )  & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, D, B))) ) ) ) )  => k2_integra5(B, D)=k6_xcmplx_0(k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(3, 2))), k4_xcmplx_0(k7_xcmplx_0(2, 3))), k2_seq_4(B)), k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(3, 2))), k4_xcmplx_0(k7_xcmplx_0(2, 3))), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_integra9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v3_rcomp_1(E) & m1_subset_1(E, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, E) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, E) =>  (k1_funct_1(C, F)=k2_xcmplx_0(A, F) &  ~ (r1_xxreal_0(k1_funct_1(C, F), k5_numbers)) ) ) ) )  &  (k1_relset_1(k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(1, 2))), 2))=E &  (k1_relset_1(k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(1, 2))), 2))=k1_relset_1(k1_numbers, D) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, E) => k1_funct_1(D, F)=k6_prepower(k2_xcmplx_0(A, F), k4_xcmplx_0(k7_xcmplx_0(1, 2)))) ) )  & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, D, B))) ) ) ) )  => k2_integra5(B, D)=k6_xcmplx_0(k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(1, 2))), 2), k2_seq_4(B)), k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(1, 2))), 2), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_integra9, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v3_rcomp_1(E) & m1_subset_1(E, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(B, E) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, E) =>  (k1_funct_1(C, F)=k6_xcmplx_0(A, F) &  ~ (r1_xxreal_0(k1_funct_1(C, F), k5_numbers)) ) ) ) )  &  (k1_relset_1(k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(1, 2))), k4_xcmplx_0(2)))=E &  (k1_relset_1(k1_numbers, k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(1, 2))), k4_xcmplx_0(2)))=k1_relset_1(k1_numbers, D) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, E) => k1_funct_1(D, F)=k6_prepower(k6_xcmplx_0(A, F), k4_xcmplx_0(k7_xcmplx_0(1, 2)))) ) )  & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, D, B))) ) ) ) )  => k2_integra5(B, D)=k6_xcmplx_0(k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(1, 2))), k4_xcmplx_0(2)), k2_seq_4(B)), k1_funct_1(k26_valued_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, C, k4_taylor_1(k7_xcmplx_0(1, 2))), k4_xcmplx_0(2)), k3_seq_4(B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_integra9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  (k1_relset_1(k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C)), k18_sin_cos), k16_sin_cos))=C &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k3_xcmplx_0(D, k1_funct_1(k16_sin_cos, D))) ) )  &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C)), k18_sin_cos), k16_sin_cos), k2_seq_4(A)), k1_funct_1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, C)), k18_sin_cos), k16_sin_cos), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t69_integra9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  (k1_relset_1(k1_numbers, k1_fdiff_9)=C &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k7_xcmplx_0(k1_funct_1(k16_sin_cos, D), k1_square_1(k1_funct_1(k18_sin_cos, D)))) ) )  &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k1_fdiff_9, k2_seq_4(A)), k1_funct_1(k1_fdiff_9, k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(t70_integra9, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k2_fdiff_9))) =>  (r2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k2_fdiff_9), A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers, k1_numbers, k2_fdiff_9), A), B)=k7_xcmplx_0(k1_funct_1(k18_sin_cos, B), k1_square_1(k1_funct_1(k16_sin_cos, B)))) ) ) ) ) ) ) ).
fof(t71_integra9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(A, C) &  (k1_relset_1(k1_numbers, k32_valued_1(k1_numbers, k1_numbers, k2_fdiff_9))=C &  ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => k1_funct_1(B, D)=k7_xcmplx_0(k1_funct_1(k18_sin_cos, D), k1_square_1(k1_funct_1(k16_sin_cos, D)))) ) )  &  (C=k1_relset_1(k1_numbers, B) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) )  => k2_integra5(A, B)=k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k2_fdiff_9), k2_seq_4(A)), k1_funct_1(k32_valued_1(k1_numbers, k1_numbers, k2_fdiff_9), k3_seq_4(A)))) ) ) ) ) ) ) ).
fof(dt_k1_integra9, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  => v1_xreal_0(k1_integra9(A, B, C))) ) ).
fof(dt_k2_integra9, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => v1_xreal_0(k2_integra9(A, B))) ) ).
fof(rc1_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_interva1(B, A) &  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(fc1_interva1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  &  ( ~ (v1_xboole_0(C))  & m1_interva1(C, A)) ) )  =>  ~ (v1_xboole_0(k3_interva1(A, B, C))) ) ) ).
fof(fc2_interva1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  &  ( ~ (v1_xboole_0(C))  & m1_interva1(C, A)) ) )  =>  ~ (v1_xboole_0(k4_interva1(A, B, C))) ) ) ).
fof(rc2_interva1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) &  ( ~ (v1_xboole_0(B))  & v1_interva1(B, A)) ) ) ) ).
fof(fc3_interva1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  &  ( ~ (v1_xboole_0(C))  & m1_interva1(C, A)) ) )  =>  ~ (v1_xboole_0(k9_interva1(A, B, C))) ) ) ).
fof(fc4_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k1_interva1(A, k2_subset_1(A), k2_subset_1(A)))) ) ) ).
fof(fc5_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k1_interva1(A, k1_subset_1(A), k1_subset_1(A)))) ) ) ).
fof(fc6_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k12_interva1(A)))  &  (v3_lattices(k12_interva1(A)) & v10_lattices(k12_interva1(A))) ) ) ) ).
fof(fc7_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  ~ (v1_xboole_0(k18_interva1(A))) ) ) ).
fof(fc8_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  ( ~ (v2_struct_0(k21_interva1(A)))  & v3_lattices(k21_interva1(A))) ) ) ).
fof(fc9_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (v3_lattices(k21_interva1(A)) & v10_lattices(k21_interva1(A))) ) ) ).
fof(fc10_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (v3_lattices(k21_interva1(A)) & v11_lattices(k21_interva1(A))) ) ) ).
fof(fc11_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (v3_lattices(k21_interva1(A)) & v15_lattices(k21_interva1(A))) ) ) ).
fof(fc12_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (v3_lattices(k21_interva1(A)) & v4_lattice3(k21_interva1(A))) ) ) ).
fof(t1_interva1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (r2_tarski(D, k1_interva1(A, B, C)) <=>  (r1_tarski(B, D) & r1_tarski(D, C)) ) ) ) ) ) ) ) ).
fof(t2_interva1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  ( ~ (k1_interva1(A, B, C)=k1_xboole_0)  =>  (r2_tarski(B, k1_interva1(A, B, C)) & r2_tarski(C, k1_interva1(A, B, C))) ) ) ) ) ) ) ).
fof(t3_interva1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  ( ~ (r1_tarski(B, C))  => k1_interva1(A, B, C)=k1_xboole_0) ) ) ) ) ) ).
fof(t4_interva1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  ~ ( (k1_interva1(A, B, C)=k1_xboole_0 & r1_tarski(B, C)) ) ) ) ) ) ) ).
fof(t5_interva1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  ( ~ (k1_interva1(A, B, C)=k1_xboole_0)  => r1_tarski(B, C)) ) ) ) ) ) ).
fof(t6_interva1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  (k1_interva1(A, B, C)=k1_interva1(A, D, E) =>  (k1_interva1(A, B, C)=k1_xboole_0 |  (B=D & C=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A)))  => k1_interva1(A, B, k1_subset_1(A))=k1_xboole_0) ) ) ) ).
fof(t8_interva1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k1_interva1(A, B, B)=k1_tarski(B)) ) ) ).
fof(d2_interva1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (m1_interva1(B, A) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) &  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) & B=k1_interva1(A, C, D)) ) ) ) ) ) ) ) ).
fof(t9_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => m1_interva1(k1_xboole_0, A)) ) ).
fof(t10_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => m1_interva1(k1_tarski(B), A)) ) ) ) ).
fof(t11_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) &  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) &  (r1_tarski(C, D) & B=k2_interva1(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(d3_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_interva1(C, A))  => k3_interva1(A, B, C)=k3_setfam_1(B, C)) ) ) ) ) ) ).
fof(d4_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_interva1(C, A))  => k4_interva1(A, B, C)=k2_setfam_1(B, C)) ) ) ) ) ) ).
fof(d5_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (C=k5_interva1(A, B) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) & B=k2_interva1(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(d6_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (C=k6_interva1(A, B) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) & B=k2_interva1(A, D, C)) ) ) ) ) ) ) ) ) ).
fof(t14_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  =>  (! [C] :  (r2_tarski(C, B) <=>  (r1_tarski(k5_interva1(A, B), C) & r1_tarski(C, k6_interva1(A, B))) ) ) ) ) ) ) ).
fof(t15_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  => B=k2_interva1(A, k5_interva1(A, B), k6_interva1(A, B))) ) ) ) ).
fof(t16_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  => r1_tarski(k5_interva1(A, B), k6_interva1(A, B))) ) ) ) ).
fof(t17_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_interva1(C, A))  => k4_interva1(A, B, C)=k2_interva1(A, k4_subset_1(A, k5_interva1(A, B), k5_interva1(A, C)), k4_subset_1(A, k6_interva1(A, B), k6_interva1(A, C)))) ) ) ) ) ) ).
fof(t18_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_interva1(C, A))  => k3_interva1(A, B, C)=k2_interva1(A, k9_subset_1(A, k5_interva1(A, B), k5_interva1(A, C)), k9_subset_1(A, k6_interva1(A, B), k6_interva1(A, C)))) ) ) ) ) ) ).
fof(d7_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_interva1(C, A))  =>  (r1_interva1(A, B, C) <=>  (k5_interva1(A, B)=k5_interva1(A, C) & k6_interva1(A, B)=k6_interva1(A, C)) ) ) ) ) ) ) ) ).
fof(t19_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  => r1_interva1(A, k4_interva1(A, B, B), B)) ) ) ) ).
fof(t20_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  => r1_interva1(A, k3_interva1(A, B, B), B)) ) ) ) ).
fof(t21_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_interva1(C, A))  => r1_interva1(A, k4_interva1(A, B, C), k4_interva1(A, C, B))) ) ) ) ) ) ).
fof(t22_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_interva1(C, A))  => r1_interva1(A, k3_interva1(A, B, C), k3_interva1(A, C, B))) ) ) ) ) ) ).
fof(t23_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_interva1(C, A))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_interva1(D, A))  => r1_interva1(A, k4_interva1(A, k4_interva1(A, B, C), D), k4_interva1(A, B, k4_interva1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t24_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_interva1(C, A))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_interva1(D, A))  => r1_interva1(A, k3_interva1(A, k3_interva1(A, B, C), D), k3_interva1(A, B, k3_interva1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(d8_interva1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (v1_interva1(B, A) <=>  (? [C] :  (? [D] :  (r2_tarski(C, B) &  (r2_tarski(D, B) &  (! [E] :  (r2_tarski(E, B) <=>  (r1_tarski(C, E) & r1_tarski(E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (r1_tarski(B, C) =>  ( ~ (v1_xboole_0(k2_interva1(A, B, C)))  &  (v1_interva1(k2_interva1(A, B, C), A) & m1_subset_1(k2_interva1(A, B, C), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ) ) ) ) ) ) ).
fof(t26_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  =>  ( ~ (v1_xboole_0(B))  &  (v1_interva1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ) ) ) ).
fof(t27_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_interva1(D, A) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(A)))) )  =>  (D=k2_interva1(A, B, C) =>  (k7_interva1(A, D)=B & k8_interva1(A, D)=C) ) ) ) ) ) ) ) ) ) ).
fof(t28_interva1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_interva1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) )  =>  (r2_tarski(B, C) <=>  (r1_tarski(k7_interva1(A, C), B) & r1_tarski(B, k8_interva1(A, C))) ) ) ) ) ) ).
fof(t29_interva1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_interva1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_interva1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_interva1(D, A) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(A)))) )  => k2_setfam_1(B, k3_setfam_1(C, D))=k3_setfam_1(k2_setfam_1(B, C), k2_setfam_1(B, D))) ) ) ) ) ) ) ).
fof(t30_interva1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_interva1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_interva1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_interva1(D, A) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(A)))) )  => k3_setfam_1(B, k2_setfam_1(C, D))=k2_setfam_1(k3_setfam_1(B, C), k3_setfam_1(B, D))) ) ) ) ) ) ) ).
fof(t31_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_interva1(C, A))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_interva1(D, A))  => r1_interva1(A, k4_interva1(A, B, k3_interva1(A, C, D)), k3_interva1(A, k4_interva1(A, B, C), k4_interva1(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t32_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_interva1(C, A))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_interva1(D, A))  => r1_interva1(A, k3_interva1(A, B, k4_interva1(A, C, D)), k4_interva1(A, k3_interva1(A, B, C), k3_interva1(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t33_interva1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_interva1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_interva1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) )  => k3_setfam_1(B, k2_setfam_1(B, C))=B) ) ) ) ) ).
fof(t34_interva1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_interva1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_interva1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) )  => k2_setfam_1(k3_setfam_1(B, C), C)=C) ) ) ) ) ).
fof(t35_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_interva1(C, A))  => r1_interva1(A, k3_interva1(A, B, k4_interva1(A, B, C)), B)) ) ) ) ) ) ).
fof(t36_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_interva1(C, A))  => r1_interva1(A, k4_interva1(A, k3_interva1(A, B, C), C), C)) ) ) ) ) ) ).
fof(t37_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))) => m1_subset_1(k4_setfam_1(B, C), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ) ) ) ).
fof(d9_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_interva1(C, A))  => k9_interva1(A, B, C)=k4_setfam_1(B, C)) ) ) ) ) ) ).
fof(t40_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_interva1(C, A))  => k9_interva1(A, B, C)=k2_interva1(A, k7_subset_1(A, k5_interva1(A, B), k6_interva1(A, C)), k7_subset_1(A, k6_interva1(A, B), k5_interva1(A, C)))) ) ) ) ) ) ).
fof(t41_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_interva1(C, A))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  (B=k2_interva1(A, D, E) => k9_interva1(A, B, C)=k2_interva1(A, k7_subset_1(A, D, k6_interva1(A, C)), k7_subset_1(A, E, k5_interva1(A, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_interva1(C, A))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(A)) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(A)) =>  ( (B=k2_interva1(A, D, E) & C=k2_interva1(A, F, G))  => k9_interva1(A, B, C)=k2_interva1(A, k7_subset_1(A, D, G), k7_subset_1(A, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v1_xboole_0(k2_interva1(A, k2_subset_1(A), k2_subset_1(A))))  & m1_interva1(k2_interva1(A, k2_subset_1(A), k2_subset_1(A)), A)) ) ) ).
fof(t44_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v1_xboole_0(k2_interva1(A, k1_subset_1(A), k1_subset_1(A))))  & m1_interva1(k2_interva1(A, k1_subset_1(A), k1_subset_1(A)), A)) ) ) ).
fof(d10_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  => k10_interva1(A, B)=k9_interva1(A, k2_interva1(A, k2_subset_1(A), k2_subset_1(A)), B)) ) ) ) ).
fof(t45_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  => k10_interva1(A, B)=k2_interva1(A, k3_subset_1(A, k6_interva1(A, B)), k3_subset_1(A, k5_interva1(A, B)))) ) ) ) ).
fof(t46_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  ( (B=k2_interva1(A, C, D) & r1_tarski(C, D))  => k10_interva1(A, B)=k2_interva1(A, k3_subset_1(A, D), k3_subset_1(A, C))) ) ) ) ) ) ) ) ) ).
fof(t47_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => r1_interva1(A, k10_interva1(A, k2_interva1(A, k1_subset_1(A), k1_subset_1(A))), k2_interva1(A, k2_subset_1(A), k2_subset_1(A)))) ) ).
fof(t48_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => r1_interva1(A, k10_interva1(A, k2_interva1(A, k2_subset_1(A), k2_subset_1(A))), k2_interva1(A, k1_subset_1(A), k1_subset_1(A)))) ) ).
fof(t49_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ ( (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  => k10_interva1(A, k3_interva1(A, B, B))=k2_interva1(A, k1_subset_1(A), k1_subset_1(A))) ) ) ) ) ).
fof(t50_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ ( (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  => k10_interva1(A, k4_interva1(A, B, B))=k2_interva1(A, k2_subset_1(A), k2_subset_1(A))) ) ) ) ) ).
fof(t51_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ ( (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  => k9_interva1(A, B, B)=k2_interva1(A, k1_subset_1(A), k1_subset_1(A))) ) ) ) ) ).
fof(t52_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  => r2_tarski(A, k4_interva1(A, B, k10_interva1(A, B)))) ) ) ) ).
fof(t53_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  => r2_tarski(k1_xboole_0, k3_interva1(A, B, k10_interva1(A, B)))) ) ) ) ).
fof(t54_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  => r2_tarski(k1_xboole_0, k9_interva1(A, B, B))) ) ) ) ).
fof(d11_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (B=k11_interva1(A) <=>  (! [C] :  (r2_tarski(C, B) <=>  ( ~ (v1_xboole_0(C))  & m1_interva1(C, A)) ) ) ) ) ) ) ) ).
fof(d12_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_lattices(B) & l3_lattices(B)) )  =>  (B=k12_interva1(A) <=>  (u1_struct_0(B)=k11_interva1(A) &  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_interva1(E, A))  =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  & m1_interva1(F, A))  =>  ( (E=C & F=D)  =>  (k4_binop_1(u1_struct_0(B), u2_lattices(B), C, D)=k4_interva1(A, E, F) & k4_binop_1(u1_struct_0(B), u1_lattices(B), C, D)=k3_interva1(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)), k1_zfmisc_1(u1_struct_0(A))), k8_mcart_1(k1_zfmisc_1(u1_struct_0(A)), k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k9_setfam_1(u1_struct_0(A)))) => m2_interva1(B, A)) ) ) ) ).
fof(t55_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m2_interva1(B, A) =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) &  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) & B=k4_tarski(C, D)) ) ) ) ) ) ) ) ).
fof(d14_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k13_interva1(A, B)=k4_tarski(k3_roughs_1(A, B), k4_roughs_1(A, B))) ) ) ) ).
fof(d15_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m2_interva1(B, A) => k14_interva1(A, B)=k1_xtuple_0(B)) ) ) ) ).
fof(d16_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m2_interva1(B, A) => k15_interva1(A, B)=k2_xtuple_0(B)) ) ) ) ).
fof(d17_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m2_interva1(B, A) =>  (! [C] :  (m2_interva1(C, A) =>  (r2_interva1(A, B, C) <=>  (k14_interva1(A, B)=k14_interva1(A, C) & k15_interva1(A, B)=k15_interva1(A, C)) ) ) ) ) ) ) ) ).
fof(d18_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m2_interva1(B, A) =>  (! [C] :  (m2_interva1(C, A) => k16_interva1(A, B, C)=k4_tarski(k4_subset_1(u1_struct_0(A), k14_interva1(A, B), k14_interva1(A, C)), k4_subset_1(u1_struct_0(A), k15_interva1(A, B), k15_interva1(A, C)))) ) ) ) ) ) ).
fof(d19_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m2_interva1(B, A) =>  (! [C] :  (m2_interva1(C, A) => k17_interva1(A, B, C)=k4_tarski(k9_subset_1(u1_struct_0(A), k14_interva1(A, B), k14_interva1(A, C)), k9_subset_1(u1_struct_0(A), k15_interva1(A, B), k15_interva1(A, C)))) ) ) ) ) ) ).
fof(t56_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m2_interva1(B, A) =>  (! [C] :  (m2_interva1(C, A) => k14_interva1(A, k16_interva1(A, B, C))=k4_subset_1(u1_struct_0(A), k14_interva1(A, B), k14_interva1(A, C))) ) ) ) ) ) ).
fof(t57_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m2_interva1(B, A) =>  (! [C] :  (m2_interva1(C, A) => k15_interva1(A, k16_interva1(A, B, C))=k4_subset_1(u1_struct_0(A), k15_interva1(A, B), k15_interva1(A, C))) ) ) ) ) ) ).
fof(t58_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m2_interva1(B, A) =>  (! [C] :  (m2_interva1(C, A) => k14_interva1(A, k17_interva1(A, B, C))=k9_subset_1(u1_struct_0(A), k14_interva1(A, B), k14_interva1(A, C))) ) ) ) ) ) ).
fof(t59_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m2_interva1(B, A) =>  (! [C] :  (m2_interva1(C, A) => k15_interva1(A, k17_interva1(A, B, C))=k9_subset_1(u1_struct_0(A), k15_interva1(A, B), k15_interva1(A, C))) ) ) ) ) ) ).
fof(t60_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m2_interva1(B, A) => r2_interva1(A, k16_interva1(A, B, B), B)) ) ) ) ).
fof(t61_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m2_interva1(B, A) => r2_interva1(A, k17_interva1(A, B, B), B)) ) ) ) ).
fof(t62_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m2_interva1(B, A) =>  (! [C] :  (m2_interva1(C, A) => r2_interva1(A, k16_interva1(A, B, C), k16_interva1(A, C, B))) ) ) ) ) ) ).
fof(t63_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m2_interva1(B, A) =>  (! [C] :  (m2_interva1(C, A) => r2_interva1(A, k17_interva1(A, B, C), k17_interva1(A, C, B))) ) ) ) ) ) ).
fof(t64_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m2_interva1(B, A) =>  (! [C] :  (m2_interva1(C, A) =>  (! [D] :  (m2_interva1(D, A) => r2_interva1(A, k16_interva1(A, k16_interva1(A, B, C), D), k16_interva1(A, B, k16_interva1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t65_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m2_interva1(B, A) =>  (! [C] :  (m2_interva1(C, A) =>  (! [D] :  (m2_interva1(D, A) => r2_interva1(A, k17_interva1(A, k17_interva1(A, B, C), D), k17_interva1(A, B, k17_interva1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t66_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m2_interva1(B, A) =>  (! [C] :  (m2_interva1(C, A) =>  (! [D] :  (m2_interva1(D, A) => r2_interva1(A, k17_interva1(A, B, k16_interva1(A, C, D)), k16_interva1(A, k17_interva1(A, B, C), k17_interva1(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t67_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m2_interva1(B, A) =>  (! [C] :  (m2_interva1(C, A) => r2_interva1(A, k16_interva1(A, B, k17_interva1(A, B, C)), B)) ) ) ) ) ) ).
fof(t68_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m2_interva1(B, A) =>  (! [C] :  (m2_interva1(C, A) => r2_interva1(A, k17_interva1(A, B, k16_interva1(A, B, C)), B)) ) ) ) ) ) ).
fof(d20_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (B=k18_interva1(A) <=>  (! [C] :  (r2_tarski(C, B) <=> m2_interva1(C, A)) ) ) ) ) ) ).
fof(d21_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k18_interva1(A)) => k19_interva1(A, B)=B) ) ) ) ).
fof(d22_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m2_interva1(B, A) => k20_interva1(A, B)=B) ) ) ) ).
fof(d23_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  ( (v3_lattices(B) & l3_lattices(B))  =>  (B=k21_interva1(A) <=>  (u1_struct_0(B)=k18_interva1(A) &  (! [C] :  (m1_subset_1(C, k18_interva1(A)) =>  (! [D] :  (m1_subset_1(D, k18_interva1(A)) =>  (! [E] :  (m2_interva1(E, A) =>  (! [F] :  (m2_interva1(F, A) =>  ( (C=E & D=F)  =>  (k1_binop_1(u2_lattices(B), C, D)=k16_interva1(A, E, F) & k1_binop_1(u1_lattices(B), C, D)=k17_interva1(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d24_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  => k22_interva1(A)=k4_tarski(k1_xboole_0, k1_xboole_0)) ) ).
fof(t69_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m2_interva1(B, A) => r2_interva1(A, k16_interva1(A, k22_interva1(A), B), B)) ) ) ) ).
fof(d25_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  => k23_interva1(A)=k4_tarski(k2_struct_0(A), k2_struct_0(A))) ) ).
fof(t70_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m2_interva1(B, A) => r2_interva1(A, k17_interva1(A, k23_interva1(A), B), B)) ) ) ) ).
fof(t71_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k21_interva1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k21_interva1(A))) =>  (! [D] :  (m2_interva1(D, A) =>  (! [E] :  (m2_interva1(E, A) =>  ( (B=D & C=E)  =>  (r3_lattices(k21_interva1(A), B, C) <=>  (r1_tarski(k14_interva1(A, D), k14_interva1(A, E)) & r1_tarski(k15_interva1(A, D), k15_interva1(A, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_interva1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(A)))  => m1_subset_1(k1_interva1(A, B, C), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ).
fof(dt_m1_interva1, axiom,  (! [A] :  (! [B] :  (m1_interva1(B, A) => m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ).
fof(existence_m1_interva1, axiom,  (! [A] :  (? [B] : m1_interva1(B, A)) ) ).
fof(dt_k2_interva1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(A)))  => m1_interva1(k2_interva1(A, B, C), A)) ) ).
fof(redefinition_k2_interva1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(A)))  => k2_interva1(A, B, C)=k1_interva1(A, B, C)) ) ).
fof(dt_k3_interva1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  &  ( ~ (v1_xboole_0(C))  & m1_interva1(C, A)) ) )  => m1_interva1(k3_interva1(A, B, C), A)) ) ).
fof(dt_k4_interva1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  &  ( ~ (v1_xboole_0(C))  & m1_interva1(C, A)) ) )  => m1_interva1(k4_interva1(A, B, C), A)) ) ).
fof(dt_k5_interva1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_interva1(B, A)) )  => m1_subset_1(k5_interva1(A, B), k1_zfmisc_1(A))) ) ).
fof(dt_k6_interva1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_interva1(B, A)) )  => m1_subset_1(k6_interva1(A, B), k1_zfmisc_1(A))) ) ).
fof(symmetry_r1_interva1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  &  ( ~ (v1_xboole_0(C))  & m1_interva1(C, A)) ) )  =>  (r1_interva1(A, B, C) => r1_interva1(A, C, B)) ) ) ).
fof(reflexivity_r1_interva1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  &  ( ~ (v1_xboole_0(C))  & m1_interva1(C, A)) ) )  => r1_interva1(A, B, B)) ) ).
fof(redefinition_r1_interva1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  &  ( ~ (v1_xboole_0(C))  & m1_interva1(C, A)) ) )  =>  (r1_interva1(A, B, C) <=> B=C) ) ) ).
fof(dt_k7_interva1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_interva1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) )  => m2_subset_1(k7_interva1(A, B), k1_zfmisc_1(A), B)) ) ).
fof(redefinition_k7_interva1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_interva1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) )  => k7_interva1(A, B)=k1_setfam_1(B)) ) ).
fof(dt_k8_interva1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_interva1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) )  => m2_subset_1(k8_interva1(A, B), k1_zfmisc_1(A), B)) ) ).
fof(redefinition_k8_interva1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_interva1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) )  => k8_interva1(A, B)=k3_tarski(B)) ) ).
fof(dt_k9_interva1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  & m1_interva1(B, A))  &  ( ~ (v1_xboole_0(C))  & m1_interva1(C, A)) ) )  => m1_interva1(k9_interva1(A, B, C), A)) ) ).
fof(dt_k10_interva1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_interva1(B, A)) )  =>  ( ~ (v1_xboole_0(k10_interva1(A, B)))  & m1_interva1(k10_interva1(A, B), A)) ) ) ).
fof(dt_k11_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k11_interva1(A))) ) ) ).
fof(dt_k12_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k12_interva1(A)))  &  (v3_lattices(k12_interva1(A)) & l3_lattices(k12_interva1(A))) ) ) ) ).
fof(dt_m2_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m2_interva1(B, A) => m2_subset_1(B, k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)), k1_zfmisc_1(u1_struct_0(A))), k8_mcart_1(k1_zfmisc_1(u1_struct_0(A)), k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k9_setfam_1(u1_struct_0(A))))) ) ) ) ).
fof(existence_m2_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (? [B] : m2_interva1(B, A)) ) ) ).
fof(dt_k13_interva1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m2_interva1(k13_interva1(A, B), A)) ) ).
fof(dt_k14_interva1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  & m2_interva1(B, A))  => m1_subset_1(k14_interva1(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k15_interva1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  & m2_interva1(B, A))  => m1_subset_1(k15_interva1(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(symmetry_r2_interva1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  &  (m2_interva1(B, A) & m2_interva1(C, A)) )  =>  (r2_interva1(A, B, C) => r2_interva1(A, C, B)) ) ) ).
fof(reflexivity_r2_interva1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  &  (m2_interva1(B, A) & m2_interva1(C, A)) )  => r2_interva1(A, B, B)) ) ).
fof(redefinition_r2_interva1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  &  (m2_interva1(B, A) & m2_interva1(C, A)) )  =>  (r2_interva1(A, B, C) <=> B=C) ) ) ).
fof(dt_k16_interva1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  &  (m2_interva1(B, A) & m2_interva1(C, A)) )  => m2_interva1(k16_interva1(A, B, C), A)) ) ).
fof(dt_k17_interva1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  &  (m2_interva1(B, A) & m2_interva1(C, A)) )  => m2_interva1(k17_interva1(A, B, C), A)) ) ).
fof(dt_k19_interva1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  & m1_subset_1(B, k18_interva1(A)))  => m2_interva1(k19_interva1(A, B), A)) ) ).
fof(dt_k20_interva1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  & m2_interva1(B, A))  => m1_subset_1(k20_interva1(A, B), k18_interva1(A))) ) ).
fof(dt_k21_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (v3_lattices(k21_interva1(A)) & l3_lattices(k21_interva1(A))) ) ) ).
fof(dt_k22_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  => m2_interva1(k22_interva1(A), A)) ) ).
fof(dt_k23_interva1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  => m2_interva1(k23_interva1(A), A)) ) ).
fof(d1_interva1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k1_interva1(A, B, C)=a_3_0_interva1(A, B, C)) ) ) ) ) ).
fof(t12_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  ( (r1_tarski(B, C) & r1_tarski(D, E))  => k3_setfam_1(k2_interva1(A, B, C), k2_interva1(A, D, E))=a_5_0_interva1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  ( (r1_tarski(B, C) & r1_tarski(D, E))  => k2_setfam_1(k2_interva1(A, B, C), k2_interva1(A, D, E))=a_5_1_interva1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_interva1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_interva1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) )  => k4_setfam_1(B, C)=a_3_1_interva1(A, B, C)) ) ) ) ) ) ).
fof(t39_interva1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  ( (r1_tarski(B, C) & r1_tarski(D, E))  => k4_setfam_1(k2_interva1(A, B, C), k2_interva1(A, D, E))=a_5_2_interva1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_interva1, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(B)) & m1_subset_1(D, k1_zfmisc_1(B)))  =>  (r2_hidden(A, a_3_0_interva1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(B)) &  (A=E &  (r1_tarski(C, E) & r1_tarski(E, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_5_0_interva1, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k1_zfmisc_1(B)) &  (m1_subset_1(D, k1_zfmisc_1(B)) &  (m1_subset_1(E, k1_zfmisc_1(B)) & m1_subset_1(F, k1_zfmisc_1(B))) ) ) )  =>  (r2_hidden(A, a_5_0_interva1(B, C, D, E, F)) <=>  (? [G] :  (m1_subset_1(G, k1_zfmisc_1(B)) &  (A=G &  (r1_tarski(k9_subset_1(B, C, E), G) & r1_tarski(G, k9_subset_1(B, D, F))) ) ) ) ) ) ) ).
fof(fraenkel_a_5_1_interva1, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k1_zfmisc_1(B)) &  (m1_subset_1(D, k1_zfmisc_1(B)) &  (m1_subset_1(E, k1_zfmisc_1(B)) & m1_subset_1(F, k1_zfmisc_1(B))) ) ) )  =>  (r2_hidden(A, a_5_1_interva1(B, C, D, E, F)) <=>  (? [G] :  (m1_subset_1(G, k1_zfmisc_1(B)) &  (A=G &  (r1_tarski(k4_subset_1(B, C, E), G) & r1_tarski(G, k4_subset_1(B, D, F))) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_interva1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_interva1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) )  &  ( ~ (v1_xboole_0(D))  &  (v1_interva1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) ) )  =>  (r2_hidden(A, a_3_1_interva1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(B)) &  (A=E &  (r1_tarski(k7_subset_1(B, k7_interva1(B, C), k8_interva1(B, D)), E) & r1_tarski(E, k7_subset_1(B, k8_interva1(B, C), k7_interva1(B, D)))) ) ) ) ) ) ) ).
fof(fraenkel_a_5_2_interva1, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k1_zfmisc_1(B)) &  (m1_subset_1(D, k1_zfmisc_1(B)) &  (m1_subset_1(E, k1_zfmisc_1(B)) & m1_subset_1(F, k1_zfmisc_1(B))) ) ) )  =>  (r2_hidden(A, a_5_2_interva1(B, C, D, E, F)) <=>  (? [G] :  (m1_subset_1(G, k1_zfmisc_1(B)) &  (A=G &  (r1_tarski(k7_subset_1(B, C, F), G) & r1_tarski(G, k7_subset_1(B, D, E))) ) ) ) ) ) ) ).
fof(cc1_intpro_1, axiom,  (! [A] :  (v7_intpro_1(A) =>  ( ~ (v1_xboole_0(A))  &  (v1_intpro_1(A) &  (v2_intpro_1(A) &  (v3_intpro_1(A) &  (v4_intpro_1(A) &  (v5_intpro_1(A) & v6_intpro_1(A)) ) ) ) ) ) ) ) ).
fof(cc2_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k13_finseq_1(k4_ordinal1))) =>  ( (v1_intpro_1(A) &  (v2_intpro_1(A) &  (v3_intpro_1(A) &  (v4_intpro_1(A) &  (v5_intpro_1(A) & v6_intpro_1(A)) ) ) ) )  => v7_intpro_1(A)) ) ) ).
fof(fc1_intpro_1, axiom, v7_intpro_1(k1_intpro_1)).
fof(rc1_intpro_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v7_intpro_1(A)) ) ).
fof(fc2_intpro_1, axiom, v4_funct_1(k1_intpro_1)).
fof(cc3_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) => v1_finseq_1(A)) ) ).
fof(fc3_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) => v8_intpro_1(k7_intpro_1(A))) ) ).
fof(fc4_intpro_1, axiom, v8_intpro_1(k8_intpro_1)).
fof(fc5_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) => v9_intpro_1(k11_intpro_1(A))) ) ).
fof(fc6_intpro_1, axiom, v9_intpro_1(k12_intpro_1)).
fof(fc7_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) => v10_intpro_1(k13_intpro_1(A))) ) ).
fof(fc8_intpro_1, axiom, v10_intpro_1(k14_intpro_1)).
fof(d1_intpro_1, axiom,  (! [A] :  (v1_intpro_1(A) <=> r2_tarski(k12_finseq_1(k4_ordinal1, k5_numbers), A)) ) ).
fof(d2_intpro_1, axiom,  (! [A] :  (v2_intpro_1(A) <=>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ( (r2_tarski(B, A) & r2_tarski(C, A))  => r2_tarski(k7_finseq_1(k7_finseq_1(k12_finseq_1(k4_ordinal1, 1), B), C), A)) ) ) ) ) ) ) ).
fof(d3_intpro_1, axiom,  (! [A] :  (v3_intpro_1(A) <=>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ( (r2_tarski(B, A) & r2_tarski(C, A))  => r2_tarski(k7_finseq_1(k7_finseq_1(k12_finseq_1(k4_ordinal1, 2), B), C), A)) ) ) ) ) ) ) ).
fof(d4_intpro_1, axiom,  (! [A] :  (v4_intpro_1(A) <=>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ( (r2_tarski(B, A) & r2_tarski(C, A))  => r2_tarski(k7_finseq_1(k7_finseq_1(k12_finseq_1(k4_ordinal1, 3), B), C), A)) ) ) ) ) ) ) ).
fof(d5_intpro_1, axiom,  (! [A] :  (v5_intpro_1(A) <=>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => r2_tarski(k12_finseq_1(k4_ordinal1, k1_nat_1(5, k2_nat_1(2, B))), A)) ) ) ) ).
fof(d6_intpro_1, axiom,  (! [A] :  (v6_intpro_1(A) <=>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r2_tarski(B, A) => r2_tarski(k7_finseq_1(k12_finseq_1(k4_ordinal1, 6), B), A)) ) ) ) ) ).
fof(d7_intpro_1, axiom,  (! [A] :  (v7_intpro_1(A) <=>  (r1_tarski(A, k13_finseq_1(k4_ordinal1)) &  (v1_intpro_1(A) &  (v2_intpro_1(A) &  (v3_intpro_1(A) &  (v4_intpro_1(A) &  (v5_intpro_1(A) & v6_intpro_1(A)) ) ) ) ) ) ) ) ).
fof(d8_intpro_1, axiom,  (! [A] :  (A=k1_intpro_1 <=>  (v7_intpro_1(A) &  (! [B] :  (v7_intpro_1(B) => r1_tarski(A, B)) ) ) ) ) ).
fof(d9_intpro_1, axiom, k2_intpro_1=k12_finseq_1(k4_ordinal1, k5_numbers)).
fof(d10_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) => k3_intpro_1(A, B)=k7_finseq_1(k7_finseq_1(k12_finseq_1(k4_ordinal1, 1), A), B)) ) ) ) ).
fof(d11_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) => k4_intpro_1(A, B)=k7_finseq_1(k7_finseq_1(k12_finseq_1(k4_ordinal1, 2), A), B)) ) ) ) ).
fof(d12_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) => k5_intpro_1(A, B)=k7_finseq_1(k7_finseq_1(k12_finseq_1(k4_ordinal1, 3), A), B)) ) ) ) ).
fof(d13_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) => k6_intpro_1(A)=k7_finseq_1(k12_finseq_1(k4_ordinal1, 6), A)) ) ).
fof(d14_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) =>  (v8_intpro_1(A) <=>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) =>  (! [D] :  (m1_subset_1(D, k1_intpro_1) =>  (r2_tarski(k3_intpro_1(B, k3_intpro_1(C, B)), A) &  (r2_tarski(k3_intpro_1(k3_intpro_1(B, k3_intpro_1(C, D)), k3_intpro_1(k3_intpro_1(B, C), k3_intpro_1(B, D))), A) &  (r2_tarski(k3_intpro_1(k4_intpro_1(B, C), B), A) &  (r2_tarski(k3_intpro_1(k4_intpro_1(B, C), C), A) &  (r2_tarski(k3_intpro_1(B, k3_intpro_1(C, k4_intpro_1(B, C))), A) &  (r2_tarski(k3_intpro_1(B, k5_intpro_1(B, C)), A) &  (r2_tarski(k3_intpro_1(C, k5_intpro_1(B, C)), A) &  (r2_tarski(k3_intpro_1(k3_intpro_1(B, D), k3_intpro_1(k3_intpro_1(C, D), k3_intpro_1(k5_intpro_1(B, C), D))), A) &  (r2_tarski(k3_intpro_1(k2_intpro_1, B), A) &  ( (r2_tarski(B, A) & r2_tarski(k3_intpro_1(B, C), A))  => r2_tarski(C, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_intpro_1)) =>  (B=k7_intpro_1(A) <=>  (! [C] :  (m1_subset_1(C, k1_intpro_1) =>  (r2_tarski(C, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_intpro_1)) =>  ( (v8_intpro_1(D) & r1_tarski(A, D))  => r2_tarski(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_intpro_1, axiom, k8_intpro_1=k7_intpro_1(k1_subset_1(k1_intpro_1))).
fof(d17_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) => k9_intpro_1(A)=k3_intpro_1(A, k2_intpro_1)) ) ).
fof(d18_intpro_1, axiom, k10_intpro_1=k3_intpro_1(k2_intpro_1, k2_intpro_1)).
fof(t1_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) => r2_tarski(k3_intpro_1(B, k3_intpro_1(C, B)), k7_intpro_1(A))) ) ) ) ) ) ).
fof(t2_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) =>  (! [D] :  (m1_subset_1(D, k1_intpro_1) => r2_tarski(k3_intpro_1(k3_intpro_1(B, k3_intpro_1(C, D)), k3_intpro_1(k3_intpro_1(B, C), k3_intpro_1(B, D))), k7_intpro_1(A))) ) ) ) ) ) ) ) ).
fof(t3_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) => r2_tarski(k3_intpro_1(k4_intpro_1(B, C), B), k7_intpro_1(A))) ) ) ) ) ) ).
fof(t4_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) => r2_tarski(k3_intpro_1(k4_intpro_1(B, C), C), k7_intpro_1(A))) ) ) ) ) ) ).
fof(t5_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) => r2_tarski(k3_intpro_1(B, k3_intpro_1(C, k4_intpro_1(B, C))), k7_intpro_1(A))) ) ) ) ) ) ).
fof(t6_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) => r2_tarski(k3_intpro_1(B, k5_intpro_1(B, C)), k7_intpro_1(A))) ) ) ) ) ) ).
fof(t7_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) => r2_tarski(k3_intpro_1(C, k5_intpro_1(B, C)), k7_intpro_1(A))) ) ) ) ) ) ).
fof(t8_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) =>  (! [D] :  (m1_subset_1(D, k1_intpro_1) => r2_tarski(k3_intpro_1(k3_intpro_1(B, D), k3_intpro_1(k3_intpro_1(C, D), k3_intpro_1(k5_intpro_1(B, C), D))), k7_intpro_1(A))) ) ) ) ) ) ) ) ).
fof(t9_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) => r2_tarski(k3_intpro_1(k2_intpro_1, B), k7_intpro_1(A))) ) ) ) ).
fof(t10_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) =>  ( (r2_tarski(B, k7_intpro_1(A)) & r2_tarski(k3_intpro_1(B, C), k7_intpro_1(A)))  => r2_tarski(C, k7_intpro_1(A))) ) ) ) ) ) ) ).
fof(t11_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_intpro_1)) =>  ( (v8_intpro_1(A) & r1_tarski(B, A))  => r1_tarski(k7_intpro_1(B), A)) ) ) ) ) ).
fof(t12_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) => r1_tarski(A, k7_intpro_1(A))) ) ).
fof(t13_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_intpro_1)) =>  (r1_tarski(A, B) => r1_tarski(k7_intpro_1(A), k7_intpro_1(B))) ) ) ) ) ).
fof(t14_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) => k7_intpro_1(k7_intpro_1(A))=k7_intpro_1(A)) ) ).
fof(t15_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) =>  (v8_intpro_1(A) <=> k7_intpro_1(A)=A) ) ) ).
fof(t16_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) =>  (v8_intpro_1(A) => r1_tarski(k8_intpro_1, A)) ) ) ).
fof(t17_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) => r2_tarski(k3_intpro_1(A, A), k8_intpro_1)) ) ).
fof(t18_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (r2_tarski(B, k8_intpro_1) => r2_tarski(k3_intpro_1(A, B), k8_intpro_1)) ) ) ) ) ).
fof(t19_intpro_1, axiom, r2_tarski(k10_intpro_1, k8_intpro_1)).
fof(t20_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) => r2_tarski(k3_intpro_1(k3_intpro_1(A, B), k3_intpro_1(A, A)), k8_intpro_1)) ) ) ) ).
fof(t21_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) => r2_tarski(k3_intpro_1(k3_intpro_1(B, A), k3_intpro_1(A, A)), k8_intpro_1)) ) ) ) ).
fof(t22_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) => r2_tarski(k3_intpro_1(k3_intpro_1(B, C), k3_intpro_1(k3_intpro_1(A, B), k3_intpro_1(A, C))), k8_intpro_1)) ) ) ) ) ) ).
fof(t23_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) =>  (r2_tarski(k3_intpro_1(A, k3_intpro_1(B, C)), k8_intpro_1) => r2_tarski(k3_intpro_1(B, k3_intpro_1(A, C)), k8_intpro_1)) ) ) ) ) ) ) ).
fof(t24_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) => r2_tarski(k3_intpro_1(k3_intpro_1(A, B), k3_intpro_1(k3_intpro_1(B, C), k3_intpro_1(A, C))), k8_intpro_1)) ) ) ) ) ) ).
fof(t25_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) =>  (r2_tarski(k3_intpro_1(A, B), k8_intpro_1) => r2_tarski(k3_intpro_1(k3_intpro_1(B, C), k3_intpro_1(A, C)), k8_intpro_1)) ) ) ) ) ) ) ).
fof(t26_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) =>  ( (r2_tarski(k3_intpro_1(A, B), k8_intpro_1) & r2_tarski(k3_intpro_1(B, C), k8_intpro_1))  => r2_tarski(k3_intpro_1(A, C), k8_intpro_1)) ) ) ) ) ) ) ).
fof(t27_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) =>  (! [D] :  (m1_subset_1(D, k1_intpro_1) => r2_tarski(k3_intpro_1(k3_intpro_1(A, k3_intpro_1(B, C)), k3_intpro_1(k3_intpro_1(D, B), k3_intpro_1(A, k3_intpro_1(D, C)))), k8_intpro_1)) ) ) ) ) ) ) ) ).
fof(t28_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) => r2_tarski(k3_intpro_1(k3_intpro_1(k3_intpro_1(A, B), C), k3_intpro_1(B, C)), k8_intpro_1)) ) ) ) ) ) ).
fof(t29_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) => r2_tarski(k3_intpro_1(k3_intpro_1(A, k3_intpro_1(B, C)), k3_intpro_1(B, k3_intpro_1(A, C))), k8_intpro_1)) ) ) ) ) ) ).
fof(t30_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) => r2_tarski(k3_intpro_1(k3_intpro_1(A, k3_intpro_1(A, B)), k3_intpro_1(A, B)), k8_intpro_1)) ) ) ) ).
fof(t31_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) => r2_tarski(k3_intpro_1(B, k3_intpro_1(k3_intpro_1(B, A), A)), k8_intpro_1)) ) ) ) ).
fof(t32_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) =>  ( (r2_tarski(k3_intpro_1(C, k3_intpro_1(B, A)), k8_intpro_1) & r2_tarski(B, k8_intpro_1))  => r2_tarski(k3_intpro_1(C, A), k8_intpro_1)) ) ) ) ) ) ) ).
fof(t33_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) => r2_tarski(k3_intpro_1(A, k4_intpro_1(A, A)), k8_intpro_1)) ) ).
fof(t34_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (r2_tarski(k4_intpro_1(A, B), k8_intpro_1) <=>  (r2_tarski(A, k8_intpro_1) & r2_tarski(B, k8_intpro_1)) ) ) ) ) ) ).
fof(t35_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (r2_tarski(k4_intpro_1(A, B), k8_intpro_1) <=> r2_tarski(k4_intpro_1(B, A), k8_intpro_1)) ) ) ) ) ).
fof(t36_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) => r2_tarski(k3_intpro_1(k3_intpro_1(k4_intpro_1(A, B), C), k3_intpro_1(A, k3_intpro_1(B, C))), k8_intpro_1)) ) ) ) ) ) ).
fof(t37_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) => r2_tarski(k3_intpro_1(k3_intpro_1(A, k3_intpro_1(B, C)), k3_intpro_1(k4_intpro_1(A, B), C)), k8_intpro_1)) ) ) ) ) ) ).
fof(t38_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) => r2_tarski(k3_intpro_1(k3_intpro_1(C, A), k3_intpro_1(k3_intpro_1(C, B), k3_intpro_1(C, k4_intpro_1(A, B)))), k8_intpro_1)) ) ) ) ) ) ).
fof(t39_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) => r2_tarski(k3_intpro_1(k4_intpro_1(k3_intpro_1(A, B), A), B), k8_intpro_1)) ) ) ) ).
fof(t40_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) => r2_tarski(k3_intpro_1(k4_intpro_1(k4_intpro_1(k3_intpro_1(A, B), A), C), B), k8_intpro_1)) ) ) ) ) ) ).
fof(t41_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) => r2_tarski(k3_intpro_1(k3_intpro_1(B, C), k3_intpro_1(k4_intpro_1(A, B), C)), k8_intpro_1)) ) ) ) ) ) ).
fof(t42_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) => r2_tarski(k3_intpro_1(k3_intpro_1(B, C), k3_intpro_1(k4_intpro_1(B, A), C)), k8_intpro_1)) ) ) ) ) ) ).
fof(t43_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) => r2_tarski(k3_intpro_1(k3_intpro_1(k4_intpro_1(A, C), B), k3_intpro_1(k4_intpro_1(A, C), k4_intpro_1(B, C))), k8_intpro_1)) ) ) ) ) ) ).
fof(t44_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) => r2_tarski(k3_intpro_1(k3_intpro_1(A, B), k3_intpro_1(k4_intpro_1(A, C), k4_intpro_1(B, C))), k8_intpro_1)) ) ) ) ) ) ).
fof(t45_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) => r2_tarski(k3_intpro_1(k4_intpro_1(k3_intpro_1(A, B), k4_intpro_1(A, C)), k4_intpro_1(B, C)), k8_intpro_1)) ) ) ) ) ) ).
fof(t46_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) => r2_tarski(k3_intpro_1(k4_intpro_1(A, B), k4_intpro_1(B, A)), k8_intpro_1)) ) ) ) ).
fof(t47_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) => r2_tarski(k3_intpro_1(k4_intpro_1(k3_intpro_1(A, B), k4_intpro_1(A, C)), k4_intpro_1(C, B)), k8_intpro_1)) ) ) ) ) ) ).
fof(t48_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) => r2_tarski(k3_intpro_1(k3_intpro_1(A, B), k3_intpro_1(k4_intpro_1(A, C), k4_intpro_1(C, B))), k8_intpro_1)) ) ) ) ) ) ).
fof(t49_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) => r2_tarski(k3_intpro_1(k3_intpro_1(A, B), k3_intpro_1(k4_intpro_1(C, A), k4_intpro_1(C, B))), k8_intpro_1)) ) ) ) ) ) ).
fof(t50_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) => r2_tarski(k3_intpro_1(k4_intpro_1(A, k4_intpro_1(C, B)), k4_intpro_1(A, k4_intpro_1(B, C))), k8_intpro_1)) ) ) ) ) ) ).
fof(t51_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) => r2_tarski(k3_intpro_1(k4_intpro_1(k3_intpro_1(A, B), k3_intpro_1(A, C)), k3_intpro_1(A, k4_intpro_1(B, C))), k8_intpro_1)) ) ) ) ) ) ).
fof(t52_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) => r2_tarski(k3_intpro_1(k4_intpro_1(k4_intpro_1(A, B), C), k4_intpro_1(A, k4_intpro_1(B, C))), k8_intpro_1)) ) ) ) ) ) ).
fof(t53_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) => r2_tarski(k3_intpro_1(k4_intpro_1(A, k4_intpro_1(B, C)), k4_intpro_1(k4_intpro_1(A, B), C)), k8_intpro_1)) ) ) ) ) ) ).
fof(t54_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) => r2_tarski(k3_intpro_1(k5_intpro_1(A, A), A), k8_intpro_1)) ) ).
fof(t55_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  ( (r2_tarski(A, k8_intpro_1) | r2_tarski(B, k8_intpro_1))  => r2_tarski(k5_intpro_1(A, B), k8_intpro_1)) ) ) ) ) ).
fof(t56_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) => r2_tarski(k3_intpro_1(k5_intpro_1(A, B), k5_intpro_1(B, A)), k8_intpro_1)) ) ) ) ).
fof(t57_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (r2_tarski(k5_intpro_1(A, B), k8_intpro_1) <=> r2_tarski(k5_intpro_1(B, A), k8_intpro_1)) ) ) ) ) ).
fof(t58_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) => r2_tarski(k3_intpro_1(k3_intpro_1(A, B), k3_intpro_1(A, k5_intpro_1(B, C))), k8_intpro_1)) ) ) ) ) ) ).
fof(t59_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) => r2_tarski(k3_intpro_1(k3_intpro_1(A, B), k3_intpro_1(A, k5_intpro_1(C, B))), k8_intpro_1)) ) ) ) ) ) ).
fof(t60_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) => r2_tarski(k3_intpro_1(k3_intpro_1(A, B), k3_intpro_1(k5_intpro_1(A, C), k5_intpro_1(B, C))), k8_intpro_1)) ) ) ) ) ) ).
fof(t61_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) =>  (r2_tarski(k3_intpro_1(A, B), k8_intpro_1) => r2_tarski(k3_intpro_1(k5_intpro_1(A, C), k5_intpro_1(B, C)), k8_intpro_1)) ) ) ) ) ) ) ).
fof(t62_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) => r2_tarski(k3_intpro_1(k3_intpro_1(A, B), k3_intpro_1(k5_intpro_1(C, A), k5_intpro_1(C, B))), k8_intpro_1)) ) ) ) ) ) ).
fof(t63_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) =>  (r2_tarski(k3_intpro_1(A, B), k8_intpro_1) => r2_tarski(k3_intpro_1(k5_intpro_1(C, A), k5_intpro_1(C, B)), k8_intpro_1)) ) ) ) ) ) ) ).
fof(t64_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) => r2_tarski(k3_intpro_1(k5_intpro_1(A, k5_intpro_1(B, C)), k5_intpro_1(B, k5_intpro_1(A, C))), k8_intpro_1)) ) ) ) ) ) ).
fof(t65_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) => r2_tarski(k3_intpro_1(k5_intpro_1(A, k5_intpro_1(B, C)), k5_intpro_1(k5_intpro_1(A, B), C)), k8_intpro_1)) ) ) ) ) ) ).
fof(t66_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) => r2_tarski(k3_intpro_1(k5_intpro_1(k5_intpro_1(A, B), C), k5_intpro_1(A, k5_intpro_1(B, C))), k8_intpro_1)) ) ) ) ) ) ).
fof(d19_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) =>  (v9_intpro_1(A) <=>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) =>  (! [D] :  (m1_subset_1(D, k1_intpro_1) =>  (r2_tarski(k3_intpro_1(B, k3_intpro_1(C, B)), A) &  (r2_tarski(k3_intpro_1(k3_intpro_1(B, k3_intpro_1(C, D)), k3_intpro_1(k3_intpro_1(B, C), k3_intpro_1(B, D))), A) &  (r2_tarski(k3_intpro_1(k4_intpro_1(B, C), B), A) &  (r2_tarski(k3_intpro_1(k4_intpro_1(B, C), C), A) &  (r2_tarski(k3_intpro_1(B, k3_intpro_1(C, k4_intpro_1(B, C))), A) &  (r2_tarski(k3_intpro_1(B, k5_intpro_1(B, C)), A) &  (r2_tarski(k3_intpro_1(C, k5_intpro_1(B, C)), A) &  (r2_tarski(k3_intpro_1(k3_intpro_1(B, D), k3_intpro_1(k3_intpro_1(C, D), k3_intpro_1(k5_intpro_1(B, C), D))), A) &  (r2_tarski(k3_intpro_1(k2_intpro_1, B), A) &  (r2_tarski(k5_intpro_1(B, k3_intpro_1(B, k2_intpro_1)), A) &  ( (r2_tarski(B, A) & r2_tarski(k3_intpro_1(B, C), A))  => r2_tarski(C, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) =>  (v9_intpro_1(A) => v8_intpro_1(A)) ) ) ).
fof(d20_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_intpro_1)) =>  (B=k11_intpro_1(A) <=>  (! [C] :  (m1_subset_1(C, k1_intpro_1) =>  (r2_tarski(C, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_intpro_1)) =>  ( (v9_intpro_1(D) & r1_tarski(A, D))  => r2_tarski(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d21_intpro_1, axiom, k12_intpro_1=k11_intpro_1(k1_subset_1(k1_intpro_1))).
fof(t68_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) => r1_tarski(k7_intpro_1(A), k11_intpro_1(A))) ) ).
fof(t69_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) =>  (! [D] :  (m1_subset_1(D, k1_intpro_1) =>  (r2_tarski(k3_intpro_1(B, k3_intpro_1(C, B)), k11_intpro_1(A)) &  (r2_tarski(k3_intpro_1(k3_intpro_1(B, k3_intpro_1(C, D)), k3_intpro_1(k3_intpro_1(B, C), k3_intpro_1(B, D))), k11_intpro_1(A)) &  (r2_tarski(k3_intpro_1(k4_intpro_1(B, C), B), k11_intpro_1(A)) &  (r2_tarski(k3_intpro_1(k4_intpro_1(B, C), C), k11_intpro_1(A)) &  (r2_tarski(k3_intpro_1(B, k3_intpro_1(C, k4_intpro_1(B, C))), k11_intpro_1(A)) &  (r2_tarski(k3_intpro_1(B, k5_intpro_1(B, C)), k11_intpro_1(A)) &  (r2_tarski(k3_intpro_1(C, k5_intpro_1(B, C)), k11_intpro_1(A)) &  (r2_tarski(k3_intpro_1(k3_intpro_1(B, D), k3_intpro_1(k3_intpro_1(C, D), k3_intpro_1(k5_intpro_1(B, C), D))), k11_intpro_1(A)) &  (r2_tarski(k3_intpro_1(k2_intpro_1, B), k11_intpro_1(A)) & r2_tarski(k5_intpro_1(B, k3_intpro_1(B, k2_intpro_1)), k11_intpro_1(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) =>  ( (r2_tarski(B, k11_intpro_1(A)) & r2_tarski(k3_intpro_1(B, C), k11_intpro_1(A)))  => r2_tarski(C, k11_intpro_1(A))) ) ) ) ) ) ) ).
fof(t71_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_intpro_1)) =>  ( (v9_intpro_1(A) & r1_tarski(B, A))  => r1_tarski(k11_intpro_1(B), A)) ) ) ) ) ).
fof(t72_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) => r1_tarski(A, k11_intpro_1(A))) ) ).
fof(t73_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_intpro_1)) =>  (r1_tarski(A, B) => r1_tarski(k11_intpro_1(A), k11_intpro_1(B))) ) ) ) ) ).
fof(t74_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) => k11_intpro_1(k11_intpro_1(A))=k11_intpro_1(A)) ) ).
fof(t75_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) =>  (v9_intpro_1(A) <=> k11_intpro_1(A)=A) ) ) ).
fof(t76_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) =>  (v9_intpro_1(A) => r1_tarski(k12_intpro_1, A)) ) ) ).
fof(t77_intpro_1, axiom, r1_tarski(k8_intpro_1, k12_intpro_1)).
fof(d22_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) =>  (v10_intpro_1(A) <=>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) =>  (! [D] :  (m1_subset_1(D, k1_intpro_1) =>  (r2_tarski(k3_intpro_1(B, k3_intpro_1(C, B)), A) &  (r2_tarski(k3_intpro_1(k3_intpro_1(B, k3_intpro_1(C, D)), k3_intpro_1(k3_intpro_1(B, C), k3_intpro_1(B, D))), A) &  (r2_tarski(k3_intpro_1(k4_intpro_1(B, C), B), A) &  (r2_tarski(k3_intpro_1(k4_intpro_1(B, C), C), A) &  (r2_tarski(k3_intpro_1(B, k3_intpro_1(C, k4_intpro_1(B, C))), A) &  (r2_tarski(k3_intpro_1(B, k5_intpro_1(B, C)), A) &  (r2_tarski(k3_intpro_1(C, k5_intpro_1(B, C)), A) &  (r2_tarski(k3_intpro_1(k3_intpro_1(B, D), k3_intpro_1(k3_intpro_1(C, D), k3_intpro_1(k5_intpro_1(B, C), D))), A) &  (r2_tarski(k3_intpro_1(k2_intpro_1, B), A) &  (r2_tarski(k5_intpro_1(B, k3_intpro_1(B, k2_intpro_1)), A) &  (r2_tarski(k3_intpro_1(k6_intpro_1(k3_intpro_1(B, C)), k3_intpro_1(k6_intpro_1(B), k6_intpro_1(C))), A) &  (r2_tarski(k3_intpro_1(k6_intpro_1(B), B), A) &  (r2_tarski(k3_intpro_1(k6_intpro_1(B), k6_intpro_1(k6_intpro_1(B))), A) &  ( ( (r2_tarski(B, A) & r2_tarski(k3_intpro_1(B, C), A))  => r2_tarski(C, A))  &  (r2_tarski(B, A) => r2_tarski(k6_intpro_1(B), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t78_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) =>  (v10_intpro_1(A) => v9_intpro_1(A)) ) ) ).
fof(t79_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) =>  (v10_intpro_1(A) => v8_intpro_1(A)) ) ) ).
fof(d23_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_intpro_1)) =>  (B=k13_intpro_1(A) <=>  (! [C] :  (m1_subset_1(C, k1_intpro_1) =>  (r2_tarski(C, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_intpro_1)) =>  ( (v10_intpro_1(D) & r1_tarski(A, D))  => r2_tarski(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d24_intpro_1, axiom, k14_intpro_1=k13_intpro_1(k1_subset_1(k1_intpro_1))).
fof(t80_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) => r1_tarski(k11_intpro_1(A), k13_intpro_1(A))) ) ).
fof(t81_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) => r1_tarski(k7_intpro_1(A), k13_intpro_1(A))) ) ).
fof(t82_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) =>  (! [D] :  (m1_subset_1(D, k1_intpro_1) =>  (r2_tarski(k3_intpro_1(B, k3_intpro_1(C, B)), k13_intpro_1(A)) &  (r2_tarski(k3_intpro_1(k3_intpro_1(B, k3_intpro_1(C, D)), k3_intpro_1(k3_intpro_1(B, C), k3_intpro_1(B, D))), k13_intpro_1(A)) &  (r2_tarski(k3_intpro_1(k4_intpro_1(B, C), B), k13_intpro_1(A)) &  (r2_tarski(k3_intpro_1(k4_intpro_1(B, C), C), k13_intpro_1(A)) &  (r2_tarski(k3_intpro_1(B, k3_intpro_1(C, k4_intpro_1(B, C))), k13_intpro_1(A)) &  (r2_tarski(k3_intpro_1(B, k5_intpro_1(B, C)), k13_intpro_1(A)) &  (r2_tarski(k3_intpro_1(C, k5_intpro_1(B, C)), k13_intpro_1(A)) &  (r2_tarski(k3_intpro_1(k3_intpro_1(B, D), k3_intpro_1(k3_intpro_1(C, D), k3_intpro_1(k5_intpro_1(B, C), D))), k13_intpro_1(A)) &  (r2_tarski(k3_intpro_1(k2_intpro_1, B), k13_intpro_1(A)) & r2_tarski(k5_intpro_1(B, k3_intpro_1(B, k2_intpro_1)), k13_intpro_1(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t83_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) =>  ( (r2_tarski(B, k13_intpro_1(A)) & r2_tarski(k3_intpro_1(B, C), k13_intpro_1(A)))  => r2_tarski(C, k13_intpro_1(A))) ) ) ) ) ) ) ).
fof(t84_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (! [C] :  (m1_subset_1(C, k1_intpro_1) => r2_tarski(k3_intpro_1(k6_intpro_1(k3_intpro_1(B, C)), k3_intpro_1(k6_intpro_1(B), k6_intpro_1(C))), k13_intpro_1(A))) ) ) ) ) ) ).
fof(t85_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) => r2_tarski(k3_intpro_1(k6_intpro_1(B), B), k13_intpro_1(A))) ) ) ) ).
fof(t86_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) => r2_tarski(k3_intpro_1(k6_intpro_1(B), k6_intpro_1(k6_intpro_1(B))), k13_intpro_1(A))) ) ) ) ).
fof(t87_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) =>  (! [B] :  (m1_subset_1(B, k1_intpro_1) =>  (r2_tarski(B, k13_intpro_1(A)) => r2_tarski(k6_intpro_1(B), k13_intpro_1(A))) ) ) ) ) ).
fof(t88_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_intpro_1)) =>  ( (v10_intpro_1(A) & r1_tarski(B, A))  => r1_tarski(k13_intpro_1(B), A)) ) ) ) ) ).
fof(t89_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) => r1_tarski(A, k13_intpro_1(A))) ) ).
fof(t90_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_intpro_1)) =>  (r1_tarski(A, B) => r1_tarski(k13_intpro_1(A), k13_intpro_1(B))) ) ) ) ) ).
fof(t91_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) => k13_intpro_1(k13_intpro_1(A))=k13_intpro_1(A)) ) ).
fof(t92_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) =>  (v10_intpro_1(A) <=> k13_intpro_1(A)=A) ) ) ).
fof(t93_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) =>  (v10_intpro_1(A) => r1_tarski(k14_intpro_1, A)) ) ) ).
fof(t94_intpro_1, axiom, r1_tarski(k12_intpro_1, k14_intpro_1)).
fof(t95_intpro_1, axiom, r1_tarski(k8_intpro_1, k14_intpro_1)).
fof(dt_k2_intpro_1, axiom, m1_subset_1(k2_intpro_1, k1_intpro_1)).
fof(dt_k3_intpro_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_intpro_1) & m1_subset_1(B, k1_intpro_1))  => m1_subset_1(k3_intpro_1(A, B), k1_intpro_1)) ) ).
fof(dt_k4_intpro_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_intpro_1) & m1_subset_1(B, k1_intpro_1))  => m1_subset_1(k4_intpro_1(A, B), k1_intpro_1)) ) ).
fof(dt_k5_intpro_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_intpro_1) & m1_subset_1(B, k1_intpro_1))  => m1_subset_1(k5_intpro_1(A, B), k1_intpro_1)) ) ).
fof(dt_k6_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) => m1_subset_1(k6_intpro_1(A), k1_intpro_1)) ) ).
fof(dt_k7_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) => m1_subset_1(k7_intpro_1(A), k1_zfmisc_1(k1_intpro_1))) ) ).
fof(dt_k8_intpro_1, axiom, m1_subset_1(k8_intpro_1, k1_zfmisc_1(k1_intpro_1))).
fof(dt_k9_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_intpro_1) => m1_subset_1(k9_intpro_1(A), k1_intpro_1)) ) ).
fof(dt_k10_intpro_1, axiom, m1_subset_1(k10_intpro_1, k1_intpro_1)).
fof(dt_k11_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) => m1_subset_1(k11_intpro_1(A), k1_zfmisc_1(k1_intpro_1))) ) ).
fof(dt_k12_intpro_1, axiom, m1_subset_1(k12_intpro_1, k1_zfmisc_1(k1_intpro_1))).
fof(dt_k13_intpro_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_intpro_1)) => m1_subset_1(k13_intpro_1(A), k1_zfmisc_1(k1_intpro_1))) ) ).
fof(dt_k14_intpro_1, axiom, m1_subset_1(k14_intpro_1, k1_zfmisc_1(k1_intpro_1))).
fof(t1_irrat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( (v1_int_2(A) & v1_rat_1(k3_square_1(A))) ) ) ) ).
fof(t2_irrat_1, axiom,  (? [A] :  (v1_xreal_0(A) &  (? [B] :  (v1_xreal_0(B) &  ( ~ (v1_rat_1(A))  &  ( ~ (v1_rat_1(B))  & v1_rat_1(k2_power(A, B))) ) ) ) ) ) ).
fof(d1_irrat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (B=k1_irrat_1(A) <=>  (! [C] :  (v7_ordinal1(C) => k1_funct_1(B, C)=k7_xcmplx_0(k6_xcmplx_0(C, A), C)) ) ) ) ) ) ) ).
fof(d2_irrat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (B=k2_irrat_1(A) <=>  (! [C] :  (v7_ordinal1(C) => k1_funct_1(B, C)=k3_xcmplx_0(k4_newton(A, C), k2_power(C, k4_xcmplx_0(A)))) ) ) ) ) ) ) ).
fof(d3_irrat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (B=k3_irrat_1(A) <=>  (! [C] :  (v7_ordinal1(C) => k1_funct_1(B, C)=k3_xcmplx_0(k4_newton(C, A), k2_power(A, k4_xcmplx_0(C)))) ) ) ) ) ) ) ).
fof(t3_irrat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k1_funct_1(k3_irrat_1(B), A)=k1_funct_1(k2_irrat_1(A), B)) ) ) ) ).
fof(d4_irrat_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (A=k4_irrat_1 <=>  (! [B] :  (v7_ordinal1(B) => k1_funct_1(A, B)=k2_power(k2_xcmplx_0(1, k7_xcmplx_0(1, B)), B)) ) ) ) ) ).
fof(d5_irrat_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (A=k5_irrat_1 <=>  (! [B] :  (v7_ordinal1(B) => k1_funct_1(A, B)=k7_xcmplx_0(1, k7_newton(B))) ) ) ) ) ).
fof(t4_irrat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  => k2_power(B, k4_xcmplx_0(k1_nat_1(A, 1)))=k7_xcmplx_0(k2_power(B, k4_xcmplx_0(A)), B)) ) ) ) ) ).
fof(t5_irrat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k4_newton(k1_nat_1(A, 1), B)=k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(B, A), k1_nat_1(A, 1)), k4_newton(A, B))) ) ) ) ).
fof(t6_irrat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  => k1_funct_1(k2_irrat_1(k1_nat_1(A, 1)), B)=k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1, k1_nat_1(A, 1)), k1_funct_1(k2_irrat_1(A), B)), k1_funct_1(k1_irrat_1(A), B))) ) ) ) ) ).
fof(t7_irrat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  => k1_funct_1(k1_irrat_1(A), B)=k6_xcmplx_0(1, k7_xcmplx_0(A, B))) ) ) ) ) ).
fof(t8_irrat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v2_comseq_2(k1_irrat_1(A)) & k1_seq_2(k1_irrat_1(A))=1) ) ) ).
fof(t9_irrat_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (! [C] :  (v7_ordinal1(C) => k1_funct_1(B, C)=A) )  =>  (v2_comseq_2(B) & k1_seq_2(B)=A) ) ) ) ) ) ).
fof(t10_irrat_1, axiom,  (! [A] :  (v7_ordinal1(A) => k1_funct_1(k2_irrat_1(k5_numbers), A)=1) ) ).
fof(t11_irrat_1, axiom,  (! [A] :  (v7_ordinal1(A) => k3_xcmplx_0(k7_xcmplx_0(1, k1_nat_1(A, 1)), k7_xcmplx_0(1, k7_newton(A)))=k7_xcmplx_0(1, k7_newton(k1_nat_1(A, 1)))) ) ).
fof(t12_irrat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v2_comseq_2(k2_irrat_1(A)) &  (k1_seq_2(k2_irrat_1(A))=k7_xcmplx_0(1, k7_newton(A)) & k1_seq_2(k2_irrat_1(A))=k1_funct_1(k5_irrat_1, A)) ) ) ) ).
fof(t13_irrat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(B, A))  =>  ( ~ (r1_xxreal_0(k1_funct_1(k1_irrat_1(A), B), k5_numbers))  & r1_xxreal_0(k1_funct_1(k1_irrat_1(A), B), 1)) ) ) ) ) ) ).
fof(t14_irrat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  =>  (r1_xxreal_0(k5_numbers, k1_funct_1(k2_irrat_1(A), B)) &  (r1_xxreal_0(k1_funct_1(k2_irrat_1(A), B), k7_xcmplx_0(1, k7_newton(A))) &  (r1_xxreal_0(k1_funct_1(k2_irrat_1(A), B), k1_funct_1(k5_irrat_1, A)) &  (r1_xxreal_0(k5_numbers, k1_funct_1(k3_irrat_1(B), A)) &  (r1_xxreal_0(k1_funct_1(k3_irrat_1(B), A), k7_xcmplx_0(1, k7_newton(A))) & r1_xxreal_0(k1_funct_1(k3_irrat_1(B), A), k1_funct_1(k5_irrat_1, A))) ) ) ) ) ) ) ) ) ) ).
fof(t15_irrat_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_series_1(k1_valued_0(k1_numbers, A, 1)) =>  (v1_series_1(A) & k4_series_1(A)=k2_xcmplx_0(k1_funct_1(A, k5_numbers), k4_series_1(k1_valued_0(k1_numbers, A, 1)))) ) ) ) ).
fof(t16_irrat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, B) =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(k3_finseq_1(C), A) | k1_funct_1(k2_rfinseq(B, 1, C), A)=k1_funct_1(C, k1_nat_1(A, 1))) ) ) ) ) ) ) ) ).
fof(t17_irrat_1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  ( ~ (r1_xxreal_0(k3_finseq_1(A), k5_numbers))  => k18_rvsum_1(A)=k2_xcmplx_0(k1_funct_1(A, 1), k18_rvsum_1(k2_rfinseq(k1_numbers, 1, A)))) ) ) ).
fof(t18_irrat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  ( (k3_finseq_1(C)=A &  ( (! [D] :  (v7_ordinal1(D) =>  ( ~ (r1_xxreal_0(A, D))  => k1_funct_1(B, D)=k1_funct_1(C, k1_nat_1(D, 1))) ) )  &  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(A, D) => k1_funct_1(B, D)=k5_numbers) ) ) ) )  =>  (v1_series_1(B) & k4_series_1(B)=k18_rvsum_1(C)) ) ) ) ) ) ) ) ).
fof(t19_irrat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (r1_xxreal_0(A, B) => k1_funct_1(k5_newton(C, D, B), k1_nat_1(A, 1))=k3_xcmplx_0(k3_xcmplx_0(k4_newton(A, B), k2_power(C, k6_xcmplx_0(B, A))), k2_power(D, A))) ) ) ) ) ) ) ) ) ).
fof(t20_irrat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(A, B) =>  (r1_xxreal_0(B, k5_numbers) | k1_funct_1(k3_irrat_1(B), A)=k1_funct_1(k5_newton(1, k7_xcmplx_0(1, B), B), k1_nat_1(A, 1))) ) ) ) ) ) ).
fof(t21_irrat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  =>  (v1_series_1(k3_irrat_1(A)) &  (k4_series_1(k3_irrat_1(A))=k2_power(k2_xcmplx_0(1, k7_xcmplx_0(1, A)), A) & k4_series_1(k3_irrat_1(A))=k1_funct_1(k4_irrat_1, A)) ) ) ) ) ).
fof(t22_irrat_1, axiom,  (v2_comseq_2(k4_irrat_1) & k1_seq_2(k4_irrat_1)=k4_power) ).
fof(t23_irrat_1, axiom,  (v1_series_1(k5_irrat_1) & k4_series_1(k5_irrat_1)=k23_sin_cos(1)) ).
fof(t24_irrat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (! [C] :  (v7_ordinal1(C) => k1_funct_1(B, C)=k1_funct_1(k3_series_1(k3_irrat_1(C)), A)) )  =>  (v2_comseq_2(B) & k1_seq_2(B)=k1_funct_1(k3_series_1(k5_irrat_1), A)) ) ) ) ) ) ).
fof(t25_irrat_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_comseq_2(B) & k1_seq_2(B)=A)  =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  (r1_xxreal_0(D, E) & r1_xxreal_0(k1_funct_1(B, E), k6_xcmplx_0(A, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_irrat_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  (r1_xxreal_0(D, E) & r1_xxreal_0(k1_funct_1(B, E), k6_xcmplx_0(A, C))) ) ) ) ) ) ) ) )  =>  ( (! [C] :  (v7_ordinal1(C) =>  (? [D] :  (v7_ordinal1(D) &  (r1_xxreal_0(C, D) &  ~ (r1_xxreal_0(k1_funct_1(B, D), A)) ) ) ) ) )  |  (v2_comseq_2(B) & k1_seq_2(B)=A) ) ) ) ) ) ) ).
fof(t27_irrat_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_series_1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k1_funct_1(k3_series_1(A), C), k6_xcmplx_0(k4_series_1(A), B))) ) ) ) ) ) ) ) ) ).
fof(t28_irrat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) => r1_xxreal_0(k1_funct_1(k4_irrat_1, A), k4_series_1(k5_irrat_1))) ) ) ).
fof(t29_irrat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v1_series_1(B) &  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k5_numbers, k1_funct_1(B, C))) ) )  => r1_xxreal_0(k1_funct_1(k3_series_1(B), A), k4_series_1(B))) ) ) ) ) ).
fof(t30_irrat_1, axiom,  (v2_comseq_2(k4_irrat_1) & k1_seq_2(k4_irrat_1)=k4_series_1(k5_irrat_1)) ).
fof(d6_irrat_1, axiom, k4_power=k4_series_1(k5_irrat_1)).
fof(d7_irrat_1, axiom, k4_power=k23_sin_cos(1)).
fof(t31_irrat_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( (v1_rat_1(A) &  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(2, B) & v1_int_1(k3_xcmplx_0(k7_newton(B), A))) ) ) ) ) ) ) ) ).
fof(t32_irrat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k3_xcmplx_0(k7_newton(B), k1_funct_1(k5_irrat_1, A))=k7_xcmplx_0(k7_newton(B), k7_newton(A))) ) ) ) ).
fof(t33_irrat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ (r1_xxreal_0(k7_xcmplx_0(k7_newton(B), k7_newton(A)), k5_numbers)) ) ) ) ) ).
fof(t34_irrat_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( (v1_series_1(A) &  ( (! [B] :  (v7_ordinal1(B) =>  ~ (r1_xxreal_0(k1_funct_1(A, B), k5_numbers)) ) )  & r1_xxreal_0(k4_series_1(A), k5_numbers)) ) ) ) ) ).
fof(t35_irrat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ (r1_xxreal_0(k3_xcmplx_0(k7_newton(A), k4_series_1(k1_valued_0(k1_numbers, k5_irrat_1, k1_nat_1(A, 1)))), k5_numbers)) ) ) ).
fof(t36_irrat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(A, B) => v1_int_1(k7_xcmplx_0(k7_newton(B), k7_newton(A)))) ) ) ) ) ).
fof(t37_irrat_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_int_1(k3_xcmplx_0(k7_newton(A), k1_funct_1(k3_series_1(k5_irrat_1), A)))) ) ).
fof(t38_irrat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_xreal_0(C) =>  (C=k7_xcmplx_0(1, k1_nat_1(B, 1)) => r1_xxreal_0(k7_xcmplx_0(k7_newton(B), k7_newton(k1_nat_1(k2_xcmplx_0(B, A), 1))), k2_power(C, k1_nat_1(A, 1)))) ) ) ) ) ) ) ).
fof(t39_irrat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (B=k7_xcmplx_0(1, k1_nat_1(A, 1)) =>  (r1_xxreal_0(A, k5_numbers) | r1_xxreal_0(k3_xcmplx_0(k7_newton(A), k4_series_1(k1_valued_0(k1_numbers, k5_irrat_1, k1_nat_1(A, 1)))), k7_xcmplx_0(B, k6_xcmplx_0(1, B)))) ) ) ) ) ) ).
fof(t40_irrat_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(2, B) &  (A=k7_xcmplx_0(1, k2_xcmplx_0(B, 1)) & r1_xxreal_0(1, k7_xcmplx_0(A, k6_xcmplx_0(1, A)))) ) ) ) ) ) ) ).
fof(t41_irrat_1, axiom,  ~ (v1_rat_1(k4_power)) ).
fof(s1_irrat_1, axiom,  ( (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  (! [B] :  (v7_ordinal1(B) => k1_funct_1(A, B)=f1_s1_irrat_1(B)) ) ) )  &  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( ( (! [C] :  (v7_ordinal1(C) => k1_funct_1(A, C)=f1_s1_irrat_1(C)) )  &  (! [C] :  (v7_ordinal1(C) => k1_funct_1(B, C)=f1_s1_irrat_1(C)) ) )  => A=B) ) ) ) ) ) ).
fof(dt_f1_s1_irrat_1, axiom,  (! [A] : v1_xreal_0(f1_s1_irrat_1(A))) ).
fof(dt_k1_irrat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_funct_1(k1_irrat_1(A)) &  (v1_funct_2(k1_irrat_1(A), k4_ordinal1, k1_numbers) & m1_subset_1(k1_irrat_1(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k2_irrat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_funct_1(k2_irrat_1(A)) &  (v1_funct_2(k2_irrat_1(A), k4_ordinal1, k1_numbers) & m1_subset_1(k2_irrat_1(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k3_irrat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_funct_1(k3_irrat_1(A)) &  (v1_funct_2(k3_irrat_1(A), k4_ordinal1, k1_numbers) & m1_subset_1(k3_irrat_1(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k4_irrat_1, axiom,  (v1_funct_1(k4_irrat_1) &  (v1_funct_2(k4_irrat_1, k4_ordinal1, k1_numbers) & m1_subset_1(k4_irrat_1, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ).
fof(dt_k5_irrat_1, axiom,  (v1_funct_1(k5_irrat_1) &  (v1_funct_2(k5_irrat_1, k4_ordinal1, k1_numbers) & m1_subset_1(k5_irrat_1, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ).
fof(t3_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_cat_1(F, A, D, E) =>  (v9_cat_1(F, A, D, E) => v9_cat_1(k9_cat_3(A, D, E, B, C, F), B, k8_cat_1(A, B, C, D), k8_cat_1(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, A, B) =>  (r1_nattra_1(A, B, C, D) =>  (! [E] :  (m1_nattra_1(E, A, B, C, D) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => r2_tarski(k2_nattra_1(A, B, C, D, E, F), k2_cat_1(B, k8_cat_1(A, B, C, F), k8_cat_1(A, B, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, A, B) =>  (! [F] :  (m2_cat_1(F, B, C) =>  (! [G] :  (m2_cat_1(G, B, C) =>  ( (r1_nattra_1(A, B, D, E) & r1_nattra_1(B, C, F, G))  => r1_nattra_1(A, C, k9_cat_1(A, B, C, D, F), k9_cat_1(A, B, C, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, A, B) =>  (r1_nattra_1(A, B, C, D) =>  (! [E] :  (m1_nattra_1(E, A, B, C, D) =>  (v1_nattra_1(E, A, B, C, D) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => r1_cat_1(B, k8_cat_1(A, B, C, F), k8_cat_1(A, B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u4_struct_0(A), u4_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B))))) )  =>  (m2_cat_1(C, A, B) <=>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) & k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, k4_cat_1(A, D))=k4_cat_1(B, E)) ) ) )  &  ( (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, k4_cat_1(A, k3_graph_1(A, D)))=k4_cat_1(B, k3_graph_1(B, k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, D))) & k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, k4_cat_1(A, k4_graph_1(A, D)))=k4_cat_1(B, k4_graph_1(B, k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, D)))) ) )  &  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (k3_graph_1(A, E)=k4_graph_1(A, D) => k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, k1_cat_1(A, D, E))=k1_cat_1(B, k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, D), k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (v12_cat_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(B)) =>  (? [E] :  (m1_subset_1(E, u4_struct_0(A)) & k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, E)=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (v12_cat_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) & k8_cat_1(A, B, C, E)=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (v2_funct_1(C) => v2_funct_1(k7_cat_1(A, B, C))) ) ) ) ) ) ) ).
fof(d2_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (v12_cat_1(C, A, B) => k1_isocat_1(A, B, C)=k2_funct_1(C)) ) ) ) ) ) ) ).
fof(d3_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (v12_cat_1(C, A, B) <=>  (v2_funct_1(C) & k2_relset_1(u4_struct_0(B), C)=u4_struct_0(B)) ) ) ) ) ) ) ) ).
fof(t10_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (v12_cat_1(C, A, B) => v12_cat_1(k1_isocat_1(A, B, C), B, A)) ) ) ) ) ) ) ).
fof(t11_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (v12_cat_1(C, A, B) => k2_funct_1(k7_cat_1(A, B, C))=k7_cat_1(B, A, k1_isocat_1(A, B, C))) ) ) ) ) ) ) ).
fof(t12_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (v12_cat_1(C, A, B) => r2_funct_2(u4_struct_0(A), u4_struct_0(B), k1_isocat_1(B, A, k1_isocat_1(A, B, C)), C)) ) ) ) ) ) ) ).
fof(t13_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (v12_cat_1(C, A, B) =>  (r2_funct_2(u4_struct_0(B), u4_struct_0(B), k9_cat_1(B, A, B, k1_isocat_1(A, B, C), C), k10_cat_1(B)) & r2_funct_2(u4_struct_0(A), u4_struct_0(A), k9_cat_1(A, B, A, C, k1_isocat_1(A, B, C)), k10_cat_1(A))) ) ) ) ) ) ) ) ).
fof(t14_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, B, C) =>  ( (v12_cat_1(D, A, B) & v12_cat_1(E, B, C))  => v12_cat_1(k9_cat_1(A, B, C, D, E), A, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (r1_isocat_1(A, B) <=>  (? [C] :  (m2_cat_1(C, A, B) & v12_cat_1(C, A, B)) ) ) ) ) ) ) ).
fof(t15_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  ( (r1_isocat_1(A, B) & r1_isocat_1(B, C))  => r1_isocat_1(A, C)) ) ) ) ) ) ) ).
fof(t16_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (! [C] : r1_isocat_1(k6_cat_2(k3_cat_1(B, C), A), A)) ) ) ) ).
fof(t17_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  => r1_isocat_1(k6_cat_2(A, B), k6_cat_2(B, A))) ) ) ) ).
fof(t18_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  => r1_isocat_1(k6_cat_2(k6_cat_2(A, B), C), k6_cat_2(A, k6_cat_2(B, C)))) ) ) ) ) ) ).
fof(t19_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_cat_1(D) &  (v3_cat_1(D) &  (v4_cat_1(D) &  (v5_cat_1(D) &  (v6_cat_1(D) & l1_cat_1(D)) ) ) ) ) ) )  =>  ( (r1_isocat_1(A, B) & r1_isocat_1(C, D))  => r1_isocat_1(k6_cat_2(A, C), k6_cat_2(B, D))) ) ) ) ) ) ) ) ) ).
fof(d5_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, A, B) =>  (r1_nattra_1(A, B, D, E) =>  (! [F] :  (m1_nattra_1(F, A, B, D, E) =>  (! [G] :  (m2_cat_1(G, B, C) => k2_isocat_1(A, B, C, D, E, F, G)=k1_partfun1(u1_struct_0(A), u4_struct_0(B), u4_struct_0(B), u4_struct_0(C), F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, B, C) =>  (! [E] :  (m2_cat_1(E, B, C) =>  (r1_nattra_1(B, C, D, E) =>  (! [F] :  (m2_cat_1(F, A, B) =>  (! [G] :  (m1_nattra_1(G, B, C, D, E) => k3_isocat_1(A, B, C, D, E, F, G)=k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u4_struct_0(C), k7_cat_1(A, B, F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, B, C) =>  (! [E] :  (m2_cat_1(E, B, C) =>  (r1_nattra_1(B, C, D, E) =>  (! [F] :  (m2_cat_1(F, A, B) =>  (! [G] :  (m1_nattra_1(G, B, C, D, E) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) => k2_nattra_1(A, C, k9_cat_1(A, B, C, F, D), k9_cat_1(A, B, C, F, E), k3_isocat_1(A, B, C, D, E, F, G), H)=k2_nattra_1(B, C, D, E, G, k8_cat_1(A, B, F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, A, B) =>  (r1_nattra_1(A, B, D, E) =>  (! [F] :  (m1_nattra_1(F, A, B, D, E) =>  (! [G] :  (m2_cat_1(G, B, C) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) => k2_nattra_1(A, C, k9_cat_1(A, B, C, D, G), k9_cat_1(A, B, C, E, G), k2_isocat_1(A, B, C, D, E, F, G), H)=k9_cat_3(B, k8_cat_1(A, B, D, H), k8_cat_1(A, B, E, H), C, G, k2_nattra_1(A, B, D, E, F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, A, B) =>  (! [F] :  (m2_cat_1(F, B, C) =>  (! [G] :  (m2_cat_1(G, B, C) =>  ( (r2_nattra_1(A, B, D, E) & r2_nattra_1(B, C, F, G))  => r2_nattra_1(A, C, k9_cat_1(A, B, C, D, F), k9_cat_1(A, B, C, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, A, B) =>  (r2_nattra_1(A, B, D, E) =>  (! [F] :  (m2_nattra_1(F, A, B, D, E) =>  (! [G] :  (m2_cat_1(G, B, C) => k4_isocat_1(A, B, C, D, E, F, G)=k2_isocat_1(A, B, C, D, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, A, B) =>  (r2_nattra_1(A, B, D, E) =>  (! [F] :  (m2_nattra_1(F, A, B, D, E) =>  (! [G] :  (m2_cat_1(G, B, C) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) => k2_nattra_1(A, C, k9_cat_1(A, B, C, D, G), k9_cat_1(A, B, C, E, G), k4_isocat_1(A, B, C, D, E, F, G), H)=k9_cat_3(B, k8_cat_1(A, B, D, H), k8_cat_1(A, B, E, H), C, G, k2_nattra_1(A, B, D, E, F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, B, C) =>  (! [E] :  (m2_cat_1(E, B, C) =>  (r2_nattra_1(B, C, D, E) =>  (! [F] :  (m2_cat_1(F, A, B) =>  (! [G] :  (m2_nattra_1(G, B, C, D, E) => k5_isocat_1(A, B, C, D, E, F, G)=k3_isocat_1(A, B, C, D, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, B, C) =>  (! [E] :  (m2_cat_1(E, B, C) =>  (r2_nattra_1(B, C, D, E) =>  (! [F] :  (m2_cat_1(F, A, B) =>  (! [G] :  (m2_nattra_1(G, B, C, D, E) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) => k2_nattra_1(A, C, k9_cat_1(A, B, C, F, D), k9_cat_1(A, B, C, F, E), k5_isocat_1(A, B, C, D, E, F, G), H)=k2_nattra_1(B, C, D, E, G, k8_cat_1(A, B, F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, A, B) =>  (r2_nattra_1(A, B, C, D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ (k2_cat_1(B, k8_cat_1(A, B, C, E), k8_cat_1(A, B, D, E))=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, A, B) =>  (r2_nattra_1(A, B, C, D) =>  (! [E] :  (m2_nattra_1(E, A, B, C, D) =>  (! [F] :  (m2_nattra_1(F, A, B, C, D) =>  ( (! [G] :  (m1_subset_1(G, u1_struct_0(A)) => k2_nattra_1(A, B, C, D, E, G)=k2_nattra_1(A, B, C, D, F, G)) )  => r2_funct_2(u1_struct_0(A), u4_struct_0(B), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, A, B) =>  (! [F] :  (m2_cat_1(F, A, B) =>  (! [G] :  (m2_cat_1(G, B, C) =>  (! [H] :  (m2_nattra_1(H, A, B, D, E) =>  (! [I] :  (m2_nattra_1(I, A, B, E, F) =>  ( (r2_nattra_1(A, B, D, E) & r2_nattra_1(A, B, E, F))  => r2_funct_2(u1_struct_0(A), u4_struct_0(C), k4_isocat_1(A, B, C, D, F, k5_nattra_1(A, B, D, E, F, H, I), G), k5_nattra_1(A, C, k9_cat_1(A, B, C, D, G), k9_cat_1(A, B, C, E, G), k9_cat_1(A, B, C, F, G), k4_isocat_1(A, B, C, D, E, H, G), k4_isocat_1(A, B, C, E, F, I, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, B, C) =>  (! [F] :  (m2_cat_1(F, B, C) =>  (! [G] :  (m2_cat_1(G, B, C) =>  (! [H] :  (m2_nattra_1(H, B, C, E, F) =>  (! [I] :  (m2_nattra_1(I, B, C, F, G) =>  ( (r2_nattra_1(B, C, E, F) & r2_nattra_1(B, C, F, G))  => r2_funct_2(u1_struct_0(A), u4_struct_0(C), k5_isocat_1(A, B, C, E, G, D, k5_nattra_1(B, C, E, F, G, H, I)), k5_nattra_1(A, C, k9_cat_1(A, B, C, D, E), k9_cat_1(A, B, C, D, F), k9_cat_1(A, B, C, D, G), k5_isocat_1(A, B, C, E, F, D, H), k5_isocat_1(A, B, C, F, G, D, I)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_cat_1(D) &  (v3_cat_1(D) &  (v4_cat_1(D) &  (v5_cat_1(D) &  (v6_cat_1(D) & l1_cat_1(D)) ) ) ) ) ) )  =>  (! [E] :  (m2_cat_1(E, A, B) =>  (! [F] :  (m2_cat_1(F, B, C) =>  (! [G] :  (m2_cat_1(G, C, D) =>  (! [H] :  (m2_cat_1(H, C, D) =>  (! [I] :  (m2_nattra_1(I, C, D, G, H) =>  (r2_nattra_1(C, D, G, H) => r2_funct_2(u1_struct_0(A), u4_struct_0(D), k5_isocat_1(A, B, D, k9_cat_1(B, C, D, F, G), k9_cat_1(B, C, D, F, H), E, k5_isocat_1(B, C, D, G, H, F, I)), k5_isocat_1(A, C, D, G, H, k9_cat_1(A, B, C, E, F), I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_cat_1(D) &  (v3_cat_1(D) &  (v4_cat_1(D) &  (v5_cat_1(D) &  (v6_cat_1(D) & l1_cat_1(D)) ) ) ) ) ) )  =>  (! [E] :  (m2_cat_1(E, A, B) =>  (! [F] :  (m2_cat_1(F, B, C) =>  (! [G] :  (m2_cat_1(G, B, C) =>  (! [H] :  (m2_cat_1(H, C, D) =>  (! [I] :  (m2_nattra_1(I, B, C, F, G) =>  (r2_nattra_1(B, C, F, G) => r2_funct_2(u1_struct_0(A), u4_struct_0(D), k5_isocat_1(A, B, D, k9_cat_1(B, C, D, F, H), k9_cat_1(B, C, D, G, H), E, k4_isocat_1(B, C, D, F, G, I, H)), k4_isocat_1(A, C, D, k9_cat_1(A, B, C, E, F), k9_cat_1(A, B, C, E, G), k5_isocat_1(A, B, C, F, G, E, I), H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_cat_1(D) &  (v3_cat_1(D) &  (v4_cat_1(D) &  (v5_cat_1(D) &  (v6_cat_1(D) & l1_cat_1(D)) ) ) ) ) ) )  =>  (! [E] :  (m2_cat_1(E, A, B) =>  (! [F] :  (m2_cat_1(F, A, B) =>  (! [G] :  (m2_cat_1(G, B, C) =>  (! [H] :  (m2_cat_1(H, C, D) =>  (! [I] :  (m2_nattra_1(I, A, B, E, F) =>  (r2_nattra_1(A, B, E, F) => r2_funct_2(u1_struct_0(A), u4_struct_0(D), k4_isocat_1(A, B, D, E, F, I, k9_cat_1(B, C, D, G, H)), k4_isocat_1(A, C, D, k9_cat_1(A, B, C, E, G), k9_cat_1(A, B, C, F, G), k4_isocat_1(A, B, C, E, F, I, G), H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, B, C) => r2_funct_2(u1_struct_0(A), u4_struct_0(C), k5_isocat_1(A, B, C, E, E, D, k4_nattra_1(B, C, E)), k4_nattra_1(A, C, k9_cat_1(A, B, C, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t33_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, B, C) => r2_funct_2(u1_struct_0(A), u4_struct_0(C), k4_isocat_1(A, B, C, D, D, k4_nattra_1(A, B, D), E), k4_nattra_1(A, C, k9_cat_1(A, B, C, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t34_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_nattra_1(E, A, B, C, D) =>  (r2_nattra_1(A, B, C, D) => r2_funct_2(u1_struct_0(A), u4_struct_0(B), k5_isocat_1(A, A, B, C, D, k10_cat_1(A), E), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_nattra_1(E, A, B, C, D) =>  (r2_nattra_1(A, B, C, D) => r2_funct_2(u1_struct_0(A), u4_struct_0(B), k4_isocat_1(A, B, B, C, D, E, k10_cat_1(B)), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, A, B) =>  (! [F] :  (m2_cat_1(F, B, C) =>  (! [G] :  (m2_cat_1(G, B, C) =>  (! [H] :  (m2_nattra_1(H, A, B, D, E) =>  (! [I] :  (m2_nattra_1(I, B, C, F, G) => k6_isocat_1(A, B, C, D, E, F, G, H, I)=k5_nattra_1(A, C, k9_cat_1(A, B, C, D, F), k9_cat_1(A, B, C, E, F), k9_cat_1(A, B, C, E, G), k4_isocat_1(A, B, C, D, E, H, F), k5_isocat_1(A, B, C, F, G, E, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, A, B) =>  (! [F] :  (m2_cat_1(F, B, C) =>  (! [G] :  (m2_cat_1(G, B, C) =>  (! [H] :  (m2_nattra_1(H, A, B, D, E) =>  (! [I] :  (m2_nattra_1(I, B, C, F, G) =>  ( (r2_nattra_1(A, B, D, E) & r2_nattra_1(B, C, F, G))  => r2_funct_2(u1_struct_0(A), u4_struct_0(C), k6_isocat_1(A, B, C, D, E, F, G, H, I), k5_nattra_1(A, C, k9_cat_1(A, B, C, D, F), k9_cat_1(A, B, C, D, G), k9_cat_1(A, B, C, E, G), k5_isocat_1(A, B, C, F, G, D, I), k4_isocat_1(A, B, C, D, E, H, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_nattra_1(E, A, B, C, D) =>  (r2_nattra_1(A, B, C, D) => r2_funct_2(u1_struct_0(A), u4_struct_0(B), k6_isocat_1(A, B, B, C, D, k10_cat_1(B), k10_cat_1(B), E, k4_nattra_1(B, B, k10_cat_1(B))), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_nattra_1(E, A, B, C, D) =>  (r2_nattra_1(A, B, C, D) => r2_funct_2(u1_struct_0(A), u4_struct_0(B), k6_isocat_1(A, A, B, k10_cat_1(A), k10_cat_1(A), C, D, k4_nattra_1(A, A, k10_cat_1(A)), E), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_cat_1(D) &  (v3_cat_1(D) &  (v4_cat_1(D) &  (v5_cat_1(D) &  (v6_cat_1(D) & l1_cat_1(D)) ) ) ) ) ) )  =>  (! [E] :  (m2_cat_1(E, A, B) =>  (! [F] :  (m2_cat_1(F, A, B) =>  (! [G] :  (m2_cat_1(G, B, C) =>  (! [H] :  (m2_cat_1(H, B, C) =>  (! [I] :  (m2_cat_1(I, C, D) =>  (! [J] :  (m2_cat_1(J, C, D) =>  (! [K] :  (m2_nattra_1(K, A, B, E, F) =>  (! [L] :  (m2_nattra_1(L, B, C, G, H) =>  (! [M] :  (m2_nattra_1(M, C, D, I, J) =>  ( (r2_nattra_1(A, B, E, F) &  (r2_nattra_1(B, C, G, H) & r2_nattra_1(C, D, I, J)) )  => r2_funct_2(u1_struct_0(A), u4_struct_0(D), k6_isocat_1(A, C, D, k9_cat_1(A, B, C, E, G), k9_cat_1(A, B, C, F, H), I, J, k6_isocat_1(A, B, C, E, F, G, H, K, L), M), k6_isocat_1(A, B, D, E, F, k9_cat_1(B, C, D, G, I), k9_cat_1(B, C, D, H, J), K, k6_isocat_1(B, C, D, G, H, I, J, L, M)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, B, C) =>  (! [F] :  (m2_cat_1(F, B, C) =>  (! [G] :  (m2_nattra_1(G, B, C, E, F) =>  (r2_nattra_1(B, C, E, F) => r2_funct_2(u1_struct_0(A), u4_struct_0(C), k5_isocat_1(A, B, C, E, F, D, G), k6_isocat_1(A, B, C, D, D, E, F, k4_nattra_1(A, B, D), G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, A, B) =>  (! [F] :  (m2_cat_1(F, B, C) =>  (! [G] :  (m2_nattra_1(G, A, B, D, E) =>  (r2_nattra_1(A, B, D, E) => r2_funct_2(u1_struct_0(A), u4_struct_0(C), k4_isocat_1(A, B, C, D, E, G, F), k6_isocat_1(A, B, C, D, E, F, F, G, k4_nattra_1(B, C, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, A, B) =>  (! [F] :  (m2_cat_1(F, A, B) =>  (! [G] :  (m2_cat_1(G, B, C) =>  (! [H] :  (m2_cat_1(H, B, C) =>  (! [I] :  (m2_cat_1(I, B, C) =>  (! [J] :  (m2_nattra_1(J, A, B, D, E) =>  (! [K] :  (m2_nattra_1(K, A, B, E, F) =>  (! [L] :  (m2_nattra_1(L, B, C, G, H) =>  (! [M] :  (m2_nattra_1(M, B, C, H, I) =>  ( (r2_nattra_1(A, B, D, E) &  (r2_nattra_1(A, B, E, F) &  (r2_nattra_1(B, C, G, H) & r2_nattra_1(B, C, H, I)) ) )  => r2_funct_2(u1_struct_0(A), u4_struct_0(C), k6_isocat_1(A, B, C, D, F, G, I, k5_nattra_1(A, B, D, E, F, J, K), k5_nattra_1(B, C, G, H, I, L, M)), k5_nattra_1(A, C, k9_cat_1(A, B, C, D, G), k9_cat_1(A, B, C, E, H), k9_cat_1(A, B, C, F, I), k6_isocat_1(A, B, C, D, E, G, H, J, L), k6_isocat_1(A, B, C, E, F, H, I, K, M)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v2_cat_1(D) &  (v3_cat_1(D) &  (v4_cat_1(D) &  (v5_cat_1(D) &  (v6_cat_1(D) & l1_cat_1(D)) ) ) ) ) ) )  =>  (! [E] :  (m2_cat_1(E, A, B) =>  (! [F] :  (m2_cat_1(F, C, D) =>  (! [G] :  (m2_cat_1(G, B, C) =>  (! [H] :  (m2_cat_1(H, B, C) =>  (r3_nattra_1(B, C, G, H) =>  (r3_nattra_1(B, D, k9_cat_1(B, C, D, G, F), k9_cat_1(B, C, D, H, F)) & r3_nattra_1(A, C, k9_cat_1(A, B, C, E, G), k9_cat_1(A, B, C, E, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, B, A) =>  (! [E] :  (m2_cat_1(E, A, A) =>  (r3_nattra_1(A, A, E, k10_cat_1(A)) =>  (r3_nattra_1(A, B, k9_cat_1(A, A, B, E, C), C) & r3_nattra_1(B, A, k9_cat_1(B, A, A, D, E), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (r2_isocat_1(A, B) <=>  (? [C] :  (m2_cat_1(C, A, B) &  (? [D] :  (m2_cat_1(D, B, A) &  (r3_nattra_1(A, A, k9_cat_1(A, B, A, C, D), k10_cat_1(A)) & r3_nattra_1(B, B, k9_cat_1(B, A, B, D, C), k10_cat_1(B))) ) ) ) ) ) ) ) ) ) ).
fof(t45_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (r1_isocat_1(A, B) => r2_isocat_1(A, B)) ) ) ) ) ).
fof(t46_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  ( (r2_isocat_1(A, B) & r2_isocat_1(B, C))  => r2_isocat_1(A, C)) ) ) ) ) ) ) ).
fof(d11_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (r2_isocat_1(A, B) =>  (! [C] :  (m2_cat_1(C, A, B) =>  (m1_isocat_1(C, A, B) <=>  (? [D] :  (m2_cat_1(D, B, A) &  (r3_nattra_1(A, A, k9_cat_1(A, B, A, C, D), k10_cat_1(A)) & r3_nattra_1(B, B, k9_cat_1(B, A, B, D, C), k10_cat_1(B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  => m1_isocat_1(k10_cat_1(A), A, A)) ) ).
fof(t48_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  ( (r2_isocat_1(A, B) & r2_isocat_1(B, C))  =>  (! [D] :  (m1_isocat_1(D, A, B) =>  (! [E] :  (m1_isocat_1(E, B, C) => m1_isocat_1(k9_cat_1(A, B, C, D, E), A, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (r2_isocat_1(A, B) =>  (! [C] :  (m1_isocat_1(C, A, B) =>  (? [D] :  (m1_isocat_1(D, B, A) &  (r3_nattra_1(A, A, k9_cat_1(A, B, A, C, D), k10_cat_1(A)) & r3_nattra_1(B, B, k9_cat_1(B, A, B, D, C), k10_cat_1(B))) ) ) ) ) ) ) ) ) ) ).
fof(t50_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, B, A) =>  (r3_nattra_1(A, A, k9_cat_1(A, B, A, C, D), k10_cat_1(A)) => v14_cat_1(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(t51_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (r2_isocat_1(A, B) =>  (! [C] :  (m1_isocat_1(C, A, B) =>  (v13_cat_1(C, A, B) &  (v14_cat_1(C, A, B) &  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) & r1_cat_1(B, D, k8_cat_1(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u4_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u4_struct_0(A))))) )  =>  (B=k7_isocat_1(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u4_struct_0(A), B, C)=k4_cat_1(A, C)) ) ) ) ) ) ) ).
fof(dt_k1_isocat_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  & m2_cat_1(C, A, B)) )  => m2_cat_1(k1_isocat_1(A, B, C), B, A)) ) ).
fof(symmetry_r1_isocat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) ) )  =>  (r1_isocat_1(A, B) => r1_isocat_1(B, A)) ) ) ).
fof(reflexivity_r1_isocat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) ) )  => r1_isocat_1(A, A)) ) ).
fof(dt_k2_isocat_1, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  (m2_cat_1(D, A, B) &  (m2_cat_1(E, A, B) &  (m1_nattra_1(F, A, B, D, E) & m2_cat_1(G, B, C)) ) ) ) ) )  => m1_nattra_1(k2_isocat_1(A, B, C, D, E, F, G), A, C, k9_cat_1(A, B, C, D, G), k9_cat_1(A, B, C, E, G))) ) ).
fof(dt_k3_isocat_1, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  (m2_cat_1(D, B, C) &  (m2_cat_1(E, B, C) &  (m2_cat_1(F, A, B) & m1_nattra_1(G, B, C, D, E)) ) ) ) ) )  => m1_nattra_1(k3_isocat_1(A, B, C, D, E, F, G), A, C, k9_cat_1(A, B, C, F, D), k9_cat_1(A, B, C, F, E))) ) ).
fof(dt_k4_isocat_1, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  (m2_cat_1(D, A, B) &  (m2_cat_1(E, A, B) &  (m2_nattra_1(F, A, B, D, E) & m2_cat_1(G, B, C)) ) ) ) ) )  => m2_nattra_1(k4_isocat_1(A, B, C, D, E, F, G), A, C, k9_cat_1(A, B, C, D, G), k9_cat_1(A, B, C, E, G))) ) ).
fof(dt_k5_isocat_1, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  (m2_cat_1(D, B, C) &  (m2_cat_1(E, B, C) &  (m2_cat_1(F, A, B) & m2_nattra_1(G, B, C, D, E)) ) ) ) ) )  => m2_nattra_1(k5_isocat_1(A, B, C, D, E, F, G), A, C, k9_cat_1(A, B, C, F, D), k9_cat_1(A, B, C, F, E))) ) ).
fof(dt_k6_isocat_1, axiom,  (! [A, B, C, D, E, F, G, H, I] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  (m2_cat_1(D, A, B) &  (m2_cat_1(E, A, B) &  (m2_cat_1(F, B, C) &  (m2_cat_1(G, B, C) &  (m2_nattra_1(H, A, B, D, E) & m2_nattra_1(I, B, C, F, G)) ) ) ) ) ) ) )  => m2_nattra_1(k6_isocat_1(A, B, C, D, E, F, G, H, I), A, C, k9_cat_1(A, B, C, D, F), k9_cat_1(A, B, C, E, G))) ) ).
fof(symmetry_r2_isocat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) ) )  =>  (r2_isocat_1(A, B) => r2_isocat_1(B, A)) ) ) ).
fof(reflexivity_r2_isocat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) ) )  => r2_isocat_1(A, A)) ) ).
fof(dt_m1_isocat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) ) )  =>  (! [C] :  (m1_isocat_1(C, A, B) => m2_cat_1(C, A, B)) ) ) ) ).
fof(existence_m1_isocat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) ) )  =>  (? [C] : m1_isocat_1(C, A, B)) ) ) ).
fof(dt_k7_isocat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (v1_funct_1(k7_isocat_1(A)) &  (v1_funct_2(k7_isocat_1(A), u1_struct_0(A), u4_struct_0(A)) & m1_subset_1(k7_isocat_1(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u4_struct_0(A))))) ) ) ) ).
fof(fc1_isocat_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) ) ) )  => v12_cat_1(k7_isocat_2(A, B, C), k9_nattra_1(k6_cat_2(A, B), C), k9_nattra_1(A, k9_nattra_1(B, C)))) ) ).
fof(fc2_isocat_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) ) ) )  => v12_cat_1(k15_isocat_2(A, B, C), k9_nattra_1(A, k6_cat_2(B, C)), k6_cat_2(k9_nattra_1(A, B), k9_nattra_1(A, C)))) ) ).
fof(t1_isocat_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k9_funct_2(B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k9_funct_2(B, C))))) )  => r2_funct_2(A, k9_funct_2(B, C), k11_funct_5(A, B, C, k1_isocat_2(A, B, C, D)), D)) ) ) ) ) ) ) ) ).
fof(t2_isocat_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k9_funct_2(B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k9_funct_2(B, C))))) )  =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, B) => k2_binop_1(A, B, C, k1_isocat_2(A, B, C, D), E, F)=k3_funct_2(B, C, k10_funct_5(A, B, C, k9_funct_2(B, C), D, E), F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) => k1_cat_1(A, B, k4_cat_1(A, k4_graph_1(A, B)))=B) ) ) ) ).
fof(t6_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) => k1_cat_1(A, k4_cat_1(A, k3_graph_1(A, B)), B)=B) ) ) ) ).
fof(t7_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_nattra_1(A, B))) <=> m2_cat_1(C, A, B)) ) ) ) ) ) ).
fof(t8_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(k9_nattra_1(A, B))) =>  (? [D] :  (m2_cat_1(D, A, B) &  (? [E] :  (m2_cat_1(E, A, B) &  (? [F] :  (m2_nattra_1(F, A, B, D, E) &  (r2_nattra_1(A, B, D, E) &  (k3_graph_1(k9_nattra_1(A, B), C)=D &  (k4_graph_1(k9_nattra_1(A, B), C)=E & C=k4_tarski(k4_tarski(D, E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_cat_1(D, k9_nattra_1(A, B), B) =>  (D=k2_isocat_2(A, B, C) <=>  (! [E] :  (m2_cat_1(E, A, B) =>  (! [F] :  (m2_cat_1(F, A, B) =>  (! [G] :  (m2_nattra_1(G, A, B, E, F) =>  (r2_nattra_1(A, B, E, F) => k1_funct_1(D, k4_tarski(k4_tarski(E, F), G))=k2_nattra_1(A, B, E, F, G, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (! [C] : r1_isocat_1(k9_nattra_1(k3_cat_1(B, C), A), A)) ) ) ) ).
fof(t10_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, k6_cat_2(A, B), C) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) => k8_cat_1(B, C, k10_cat_2(A, B, C, D, E), F)=k8_cat_1(k6_cat_2(A, B), C, D, k7_cat_2(A, B, E, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( ( ~ (k2_cat_1(A, C, D)=k1_xboole_0)  &  ~ (k2_cat_1(B, E, F)=k1_xboole_0) )  <=>  ~ (k2_cat_1(k6_cat_2(A, B), k7_cat_2(A, B, C, E), k7_cat_2(A, B, D, F))=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( ~ (k2_cat_1(k6_cat_2(A, B), k7_cat_2(A, B, C, E), k7_cat_2(A, B, D, F))=k1_xboole_0)  =>  (! [G] :  (m1_subset_1(G, u4_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u4_struct_0(B)) =>  (m1_cat_1(k8_cat_2(A, B, G, H), k6_cat_2(A, B), k7_cat_2(A, B, C, E), k7_cat_2(A, B, D, F)) <=>  (m1_cat_1(G, A, C, D) & m1_cat_1(H, B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, k6_cat_2(A, B), C) =>  (! [E] :  (m2_cat_1(E, k6_cat_2(A, B), C) =>  (r2_nattra_1(k6_cat_2(A, B), C, D, E) =>  (! [F] :  (m2_nattra_1(F, k6_cat_2(A, B), C, D, E) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r2_nattra_1(B, C, k10_cat_2(A, B, C, D, G), k10_cat_2(A, B, C, E, G)) & m2_nattra_1(k1_funct_1(k1_funct_5(F), G), B, C, k10_cat_2(A, B, C, D, G), k10_cat_2(A, B, C, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, k6_cat_2(A, B), C) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) => k3_isocat_2(A, B, C, D, E)=k1_funct_1(k1_funct_5(D), E)) ) ) ) ) ) ) ) ) ) ).
fof(t14_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, u4_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u4_struct_0(B)) =>  ( (r2_tarski(G, k2_cat_1(A, C, D)) & r2_tarski(H, k2_cat_1(B, E, F)))  => r2_tarski(k8_cat_2(A, B, G, H), k2_cat_1(k6_cat_2(A, B), k7_cat_2(A, B, C, E), k7_cat_2(A, B, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, k6_cat_2(A, B), C) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( ~ (k2_cat_1(A, E, F)=k1_xboole_0)  =>  (! [G] :  (m1_cat_1(G, A, E, F) =>  (r2_nattra_1(B, C, k10_cat_2(A, B, C, D, E), k10_cat_2(A, B, C, D, F)) & m2_nattra_1(k1_partfun1(u1_struct_0(B), u4_struct_0(B), u4_struct_0(B), u4_struct_0(C), k7_isocat_1(B), k3_isocat_2(A, B, C, D, G)), B, C, k10_cat_2(A, B, C, D, E), k10_cat_2(A, B, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, k6_cat_2(A, B), C) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) => k4_isocat_2(A, B, C, D, E)=k1_partfun1(u1_struct_0(B), u4_struct_0(B), u4_struct_0(B), u4_struct_0(C), k7_isocat_1(B), k3_isocat_2(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t16_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, k6_cat_2(A, B), C) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) => r2_nattra_1(B, C, k10_cat_2(A, B, C, D, k3_graph_1(A, E)), k10_cat_2(A, B, C, D, k4_graph_1(A, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t17_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, k6_cat_2(A, B), C) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) => k2_nattra_1(B, C, k10_cat_2(A, B, C, D, k3_graph_1(A, E)), k10_cat_2(A, B, C, D, k4_graph_1(A, E)), k4_isocat_2(A, B, C, D, E), F)=k9_cat_2(A, B, C, D, E, k4_cat_1(B, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, k6_cat_2(A, B), C) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => r2_funct_2(u1_struct_0(B), u4_struct_0(C), k4_nattra_1(B, C, k10_cat_2(A, B, C, D, E)), k4_isocat_2(A, B, C, D, k4_cat_1(A, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t19_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, k6_cat_2(A, B), C) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u4_struct_0(A)) =>  (k3_graph_1(A, E)=k4_graph_1(A, F) =>  (! [G] :  (m2_nattra_1(G, B, C, k10_cat_2(A, B, C, D, k3_graph_1(A, F)), k10_cat_2(A, B, C, D, k3_graph_1(A, E))) =>  (r2_funct_2(u1_struct_0(B), u4_struct_0(C), G, k4_isocat_2(A, B, C, D, F)) => r2_funct_2(u1_struct_0(B), u4_struct_0(C), k4_isocat_2(A, B, C, D, k1_cat_1(A, F, E)), k5_nattra_1(B, C, k10_cat_2(A, B, C, D, k3_graph_1(A, F)), k10_cat_2(A, B, C, D, k3_graph_1(A, E)), k10_cat_2(A, B, C, D, k4_graph_1(A, E)), G, k4_isocat_2(A, B, C, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, k6_cat_2(A, B), C) =>  (! [E] :  (m2_cat_1(E, A, k9_nattra_1(B, C)) =>  (E=k5_isocat_2(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u4_struct_0(A)) => k3_funct_2(u4_struct_0(A), u4_struct_0(k9_nattra_1(B, C)), E, F)=k4_tarski(k4_tarski(k10_cat_2(A, B, C, D, k3_graph_1(A, F)), k10_cat_2(A, B, C, D, k4_graph_1(A, F))), k4_isocat_2(A, B, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, k6_cat_2(A, B), C) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k8_cat_1(A, k9_nattra_1(B, C), k5_isocat_2(A, B, C, D), E)=k10_cat_2(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(t21_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, k6_cat_2(A, B), C) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => m2_cat_1(k8_cat_1(A, k9_nattra_1(B, C), k5_isocat_2(A, B, C, D), E), B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t22_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, k6_cat_2(A, B), C) =>  (! [E] :  (m2_cat_1(E, k6_cat_2(A, B), C) =>  (r2_funct_2(u4_struct_0(A), u4_struct_0(k9_nattra_1(B, C)), k5_isocat_2(A, B, C, D), k5_isocat_2(A, B, C, E)) => r2_funct_2(u4_struct_0(k6_cat_2(A, B)), u4_struct_0(C), D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, k6_cat_2(A, B), C) =>  (! [E] :  (m2_cat_1(E, k6_cat_2(A, B), C) =>  (r2_nattra_1(k6_cat_2(A, B), C, D, E) =>  (! [F] :  (m2_nattra_1(F, k6_cat_2(A, B), C, D, E) =>  (r2_nattra_1(A, k9_nattra_1(B, C), k5_isocat_2(A, B, C, D), k5_isocat_2(A, B, C, E)) &  (? [G] :  (m2_nattra_1(G, A, k9_nattra_1(B, C), k5_isocat_2(A, B, C, D), k5_isocat_2(A, B, C, E)) &  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C))))) )  =>  (r1_funct_2(u1_struct_0(k6_cat_2(A, B)), u4_struct_0(C), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C), F, H) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) => k2_nattra_1(A, k9_nattra_1(B, C), k5_isocat_2(A, B, C, D), k5_isocat_2(A, B, C, E), G, I)=k4_tarski(k7_cat_2(k9_nattra_1(B, C), k9_nattra_1(B, C), k8_cat_1(A, k9_nattra_1(B, C), k5_isocat_2(A, B, C, D), I), k8_cat_1(A, k9_nattra_1(B, C), k5_isocat_2(A, B, C, E), I)), k10_funct_5(u1_struct_0(A), u1_struct_0(B), u4_struct_0(C), k9_funct_2(u1_struct_0(B), u4_struct_0(C)), k11_funct_5(u1_struct_0(A), u1_struct_0(B), u4_struct_0(C), H), I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, k6_cat_2(A, B), C) =>  (! [E] :  (m2_cat_1(E, k6_cat_2(A, B), C) =>  (r2_nattra_1(k6_cat_2(A, B), C, D, E) =>  (! [F] :  (m2_nattra_1(F, k6_cat_2(A, B), C, D, E) =>  (! [G] :  (m2_nattra_1(G, A, k9_nattra_1(B, C), k5_isocat_2(A, B, C, D), k5_isocat_2(A, B, C, E)) =>  (G=k6_isocat_2(A, B, C, D, E, F) <=>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C))))) )  =>  (r1_funct_2(u1_struct_0(k6_cat_2(A, B)), u4_struct_0(C), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u4_struct_0(C), F, H) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) => k2_nattra_1(A, k9_nattra_1(B, C), k5_isocat_2(A, B, C, D), k5_isocat_2(A, B, C, E), G, I)=k4_tarski(k7_cat_2(k9_nattra_1(B, C), k9_nattra_1(B, C), k8_cat_1(A, k9_nattra_1(B, C), k5_isocat_2(A, B, C, D), I), k8_cat_1(A, k9_nattra_1(B, C), k5_isocat_2(A, B, C, E), I)), k10_funct_5(u1_struct_0(A), u1_struct_0(B), u4_struct_0(C), k9_funct_2(u1_struct_0(B), u4_struct_0(C)), k11_funct_5(u1_struct_0(A), u1_struct_0(B), u4_struct_0(C), H), I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, k6_cat_2(A, B), C) => r2_funct_2(u1_struct_0(A), u4_struct_0(k9_nattra_1(B, C)), k4_nattra_1(A, k9_nattra_1(B, C), k5_isocat_2(A, B, C, D)), k6_isocat_2(A, B, C, D, D, k4_nattra_1(k6_cat_2(A, B), C, D)))) ) ) ) ) ) ) ) ).
fof(t25_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, k6_cat_2(A, B), C) =>  (! [E] :  (m2_cat_1(E, k6_cat_2(A, B), C) =>  (! [F] :  (m2_cat_1(F, k6_cat_2(A, B), C) =>  ( (r2_nattra_1(k6_cat_2(A, B), C, D, E) & r2_nattra_1(k6_cat_2(A, B), C, E, F))  =>  (! [G] :  (m2_nattra_1(G, k6_cat_2(A, B), C, D, E) =>  (! [H] :  (m2_nattra_1(H, k6_cat_2(A, B), C, E, F) => r2_funct_2(u1_struct_0(A), u4_struct_0(k9_nattra_1(B, C)), k6_isocat_2(A, B, C, D, F, k5_nattra_1(k6_cat_2(A, B), C, D, E, F, G, H)), k5_nattra_1(A, k9_nattra_1(B, C), k5_isocat_2(A, B, C, D), k5_isocat_2(A, B, C, E), k5_isocat_2(A, B, C, F), k6_isocat_2(A, B, C, D, E, G), k6_isocat_2(A, B, C, E, F, H)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, k6_cat_2(A, B), C) =>  (! [E] :  (m2_cat_1(E, k6_cat_2(A, B), C) =>  (r2_nattra_1(k6_cat_2(A, B), C, D, E) =>  (! [F] :  (m2_nattra_1(F, k6_cat_2(A, B), C, D, E) =>  (! [G] :  (m2_nattra_1(G, k6_cat_2(A, B), C, D, E) =>  (r2_funct_2(u1_struct_0(A), u4_struct_0(k9_nattra_1(B, C)), k6_isocat_2(A, B, C, D, E, F), k6_isocat_2(A, B, C, D, E, G)) => r2_funct_2(u1_struct_0(k6_cat_2(A, B)), u4_struct_0(C), F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, k9_nattra_1(B, C)) =>  (? [E] :  (m2_cat_1(E, k6_cat_2(A, B), C) & r2_funct_2(u4_struct_0(A), u4_struct_0(k9_nattra_1(B, C)), D, k5_isocat_2(A, B, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t28_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, k6_cat_2(A, B), C) =>  (! [E] :  (m2_cat_1(E, k6_cat_2(A, B), C) =>  (r2_nattra_1(A, k9_nattra_1(B, C), k5_isocat_2(A, B, C, D), k5_isocat_2(A, B, C, E)) =>  (! [F] :  (m2_nattra_1(F, A, k9_nattra_1(B, C), k5_isocat_2(A, B, C, D), k5_isocat_2(A, B, C, E)) =>  (r2_nattra_1(k6_cat_2(A, B), C, D, E) &  (? [G] :  (m2_nattra_1(G, k6_cat_2(A, B), C, D, E) & r2_funct_2(u1_struct_0(A), u4_struct_0(k9_nattra_1(B, C)), F, k6_isocat_2(A, B, C, D, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, k9_nattra_1(k6_cat_2(A, B), C), k9_nattra_1(A, k9_nattra_1(B, C))) =>  (D=k7_isocat_2(A, B, C) <=>  (! [E] :  (m2_cat_1(E, k6_cat_2(A, B), C) =>  (! [F] :  (m2_cat_1(F, k6_cat_2(A, B), C) =>  (r2_nattra_1(k6_cat_2(A, B), C, E, F) =>  (! [G] :  (m2_nattra_1(G, k6_cat_2(A, B), C, E, F) => k1_funct_1(D, k4_tarski(k4_tarski(E, F), G))=k4_tarski(k4_tarski(k5_isocat_2(A, B, C, E), k5_isocat_2(A, B, C, F)), k6_isocat_2(A, B, C, E, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  => r1_isocat_1(k9_nattra_1(k6_cat_2(A, B), C), k9_nattra_1(A, k9_nattra_1(B, C)))) ) ) ) ) ) ).
fof(t30_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, A, B) =>  (! [F] :  (m2_cat_1(F, B, C) =>  (r2_nattra_1(A, B, D, E) =>  (! [G] :  (m2_nattra_1(G, A, B, D, E) => k4_isocat_1(A, B, C, D, E, G, F)=k3_relat_1(G, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, k6_cat_2(B, C)) => k9_isocat_2(A, B, C, D)=k9_cat_1(A, k6_cat_2(B, C), B, D, k12_cat_2(B, C))) ) ) ) ) ) ) ) ).
fof(d8_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, k6_cat_2(B, C)) => k10_isocat_2(A, B, C, D)=k9_cat_1(A, k6_cat_2(B, C), C, D, k13_cat_2(B, C))) ) ) ) ) ) ) ) ).
fof(t31_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, A, C) =>  (r2_funct_2(u4_struct_0(A), u4_struct_0(B), k9_isocat_2(A, B, C, k8_isocat_2(A, B, C, D, E)), D) & r2_funct_2(u4_struct_0(A), u4_struct_0(C), k10_isocat_2(A, B, C, k8_isocat_2(A, B, C, D, E)), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, k6_cat_2(B, C)) =>  (! [E] :  (m2_cat_1(E, A, k6_cat_2(B, C)) =>  ( (r2_funct_2(u4_struct_0(A), u4_struct_0(B), k9_isocat_2(A, B, C, D), k9_isocat_2(A, B, C, E)) & r2_funct_2(u4_struct_0(A), u4_struct_0(C), k10_isocat_2(A, B, C, D), k10_isocat_2(A, B, C, E)))  => r2_funct_2(u4_struct_0(A), u4_struct_0(k6_cat_2(B, C)), D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, k6_cat_2(B, C)) =>  (! [E] :  (m2_cat_1(E, A, k6_cat_2(B, C)) =>  (! [F] :  (m2_nattra_1(F, A, k6_cat_2(B, C), D, E) => k11_isocat_2(A, B, C, D, E, F)=k4_isocat_1(A, k6_cat_2(B, C), B, D, E, F, k12_cat_2(B, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, k6_cat_2(B, C)) =>  (! [E] :  (m2_cat_1(E, A, k6_cat_2(B, C)) =>  (! [F] :  (m2_nattra_1(F, A, k6_cat_2(B, C), D, E) => k12_isocat_2(A, B, C, D, E, F)=k4_isocat_1(A, k6_cat_2(B, C), C, D, E, F, k13_cat_2(B, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, k6_cat_2(B, C)) =>  (! [E] :  (m2_cat_1(E, A, k6_cat_2(B, C)) =>  (! [F] :  (m2_cat_1(F, A, k6_cat_2(B, C)) =>  (! [G] :  (m2_cat_1(G, A, k6_cat_2(B, C)) =>  ( (r2_nattra_1(A, k6_cat_2(B, C), D, E) & r2_nattra_1(A, k6_cat_2(B, C), F, G))  =>  (! [H] :  (m2_nattra_1(H, A, k6_cat_2(B, C), D, E) =>  (! [I] :  (m2_nattra_1(I, A, k6_cat_2(B, C), F, G) =>  ( (r2_funct_2(u1_struct_0(A), u4_struct_0(B), k11_isocat_2(A, B, C, D, E, H), k11_isocat_2(A, B, C, F, G, I)) & r2_funct_2(u1_struct_0(A), u4_struct_0(C), k12_isocat_2(A, B, C, D, E, H), k12_isocat_2(A, B, C, F, G, I)))  => r2_funct_2(u1_struct_0(A), u4_struct_0(k6_cat_2(B, C)), H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, A, C) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( ~ (k2_cat_1(A, F, G)=k1_xboole_0)  =>  (! [H] :  (m1_cat_1(H, A, F, G) => k3_funct_2(u4_struct_0(A), u4_struct_0(k6_cat_2(B, C)), k8_isocat_2(A, B, C, D, E), H)=k8_cat_2(B, C, k3_funct_2(u4_struct_0(A), u4_struct_0(B), D, H), k3_funct_2(u4_struct_0(A), u4_struct_0(C), E, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, A, C) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => k8_cat_1(A, k6_cat_2(B, C), k8_isocat_2(A, B, C, D, E), F)=k7_cat_2(B, C, k8_cat_1(A, B, D, F), k8_cat_1(A, C, E, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, A, B) =>  (! [F] :  (m2_cat_1(F, A, C) =>  (! [G] :  (m2_cat_1(G, A, C) =>  ( (r1_nattra_1(A, B, D, E) & r1_nattra_1(A, C, F, G))  => r1_nattra_1(A, k6_cat_2(B, C), k8_isocat_2(A, B, C, D, F), k8_isocat_2(A, B, C, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, A, B) =>  (! [F] :  (m2_cat_1(F, A, C) =>  (! [G] :  (m2_cat_1(G, A, C) =>  ( (r1_nattra_1(A, B, D, E) & r1_nattra_1(A, C, F, G))  =>  (! [H] :  (m1_nattra_1(H, A, B, D, E) =>  (! [I] :  (m1_nattra_1(I, A, C, F, G) => k13_isocat_2(A, B, C, D, E, F, G, H, I)=k14_funct_3(u1_struct_0(A), u4_struct_0(B), u4_struct_0(C), H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, A, B) =>  (! [F] :  (m2_cat_1(F, A, C) =>  (! [G] :  (m2_cat_1(G, A, C) =>  ( (r1_nattra_1(A, B, D, E) & r1_nattra_1(A, C, F, G))  =>  (! [H] :  (m1_nattra_1(H, A, B, D, E) =>  (! [I] :  (m1_nattra_1(I, A, C, F, G) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) => k2_nattra_1(A, k6_cat_2(B, C), k8_isocat_2(A, B, C, D, F), k8_isocat_2(A, B, C, E, G), k13_isocat_2(A, B, C, D, E, F, G, H, I), J)=k8_cat_2(B, C, k2_nattra_1(A, B, D, E, H, J), k2_nattra_1(A, C, F, G, I, J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, A, B) =>  (! [F] :  (m2_cat_1(F, A, C) =>  (! [G] :  (m2_cat_1(G, A, C) =>  ( (r2_nattra_1(A, B, D, E) & r2_nattra_1(A, C, F, G))  => r2_nattra_1(A, k6_cat_2(B, C), k8_isocat_2(A, B, C, D, F), k8_isocat_2(A, B, C, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, A, B) =>  (! [F] :  (m2_cat_1(F, A, C) =>  (! [G] :  (m2_cat_1(G, A, C) =>  ( (r2_nattra_1(A, B, D, E) & r2_nattra_1(A, C, F, G))  =>  (! [H] :  (m2_nattra_1(H, A, B, D, E) =>  (! [I] :  (m2_nattra_1(I, A, C, F, G) => k14_isocat_2(A, B, C, D, E, F, G, H, I)=k13_isocat_2(A, B, C, D, E, F, G, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, A, B) =>  (! [F] :  (m2_cat_1(F, A, C) =>  (! [G] :  (m2_cat_1(G, A, C) =>  ( (r2_nattra_1(A, B, D, E) & r2_nattra_1(A, C, F, G))  =>  (! [H] :  (m2_nattra_1(H, A, B, D, E) =>  (! [I] :  (m2_nattra_1(I, A, C, F, G) =>  (r2_funct_2(u1_struct_0(A), u4_struct_0(B), k11_isocat_2(A, B, C, k8_isocat_2(A, B, C, D, F), k8_isocat_2(A, B, C, E, G), k14_isocat_2(A, B, C, D, E, F, G, H, I)), H) & r2_funct_2(u1_struct_0(A), u4_struct_0(C), k12_isocat_2(A, B, C, k8_isocat_2(A, B, C, D, F), k8_isocat_2(A, B, C, E, G), k14_isocat_2(A, B, C, D, E, F, G, H, I)), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, k9_nattra_1(A, k6_cat_2(B, C)), k6_cat_2(k9_nattra_1(A, B), k9_nattra_1(A, C))) =>  (D=k15_isocat_2(A, B, C) <=>  (! [E] :  (m2_cat_1(E, A, k6_cat_2(B, C)) =>  (! [F] :  (m2_cat_1(F, A, k6_cat_2(B, C)) =>  (r2_nattra_1(A, k6_cat_2(B, C), E, F) =>  (! [G] :  (m2_nattra_1(G, A, k6_cat_2(B, C), E, F) => k1_funct_1(D, k4_tarski(k4_tarski(E, F), G))=k4_tarski(k4_tarski(k4_tarski(k9_isocat_2(A, B, C, E), k9_isocat_2(A, B, C, F)), k11_isocat_2(A, B, C, E, F, G)), k4_tarski(k4_tarski(k10_isocat_2(A, B, C, E), k10_isocat_2(A, B, C, F)), k12_isocat_2(A, B, C, E, F, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_isocat_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  => r1_isocat_1(k9_nattra_1(A, k6_cat_2(B, C)), k6_cat_2(k9_nattra_1(A, B), k9_nattra_1(A, C)))) ) ) ) ) ) ).
fof(dt_k1_isocat_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(D) &  (v1_funct_2(D, A, k9_funct_2(B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k9_funct_2(B, C))))) ) ) ) )  =>  (v1_funct_1(k1_isocat_2(A, B, C, D)) &  (v1_funct_2(k1_isocat_2(A, B, C, D), k2_zfmisc_1(A, B), C) & m1_subset_1(k1_isocat_2(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) ) ) ) ).
fof(redefinition_k1_isocat_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(D) &  (v1_funct_2(D, A, k9_funct_2(B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k9_funct_2(B, C))))) ) ) ) )  => k1_isocat_2(A, B, C, D)=k2_funct_5(D)) ) ).
fof(dt_k2_isocat_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  & m1_subset_1(C, u1_struct_0(A))) )  => m2_cat_1(k2_isocat_2(A, B, C), k9_nattra_1(A, B), B)) ) ).
fof(dt_k3_isocat_2, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  (m2_cat_1(D, k6_cat_2(A, B), C) & m1_subset_1(E, u4_struct_0(A))) ) ) )  =>  (v1_funct_1(k3_isocat_2(A, B, C, D, E)) &  (v1_funct_2(k3_isocat_2(A, B, C, D, E), u4_struct_0(B), u4_struct_0(C)) & m1_subset_1(k3_isocat_2(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(B), u4_struct_0(C))))) ) ) ) ).
fof(dt_k4_isocat_2, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  (m2_cat_1(D, k6_cat_2(A, B), C) & m1_subset_1(E, u4_struct_0(A))) ) ) )  => m2_nattra_1(k4_isocat_2(A, B, C, D, E), B, C, k10_cat_2(A, B, C, D, k3_graph_1(A, E)), k10_cat_2(A, B, C, D, k4_graph_1(A, E)))) ) ).
fof(dt_k5_isocat_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  & m2_cat_1(D, k6_cat_2(A, B), C)) ) )  => m2_cat_1(k5_isocat_2(A, B, C, D), A, k9_nattra_1(B, C))) ) ).
fof(dt_k6_isocat_2, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  (m2_cat_1(D, k6_cat_2(A, B), C) &  (m2_cat_1(E, k6_cat_2(A, B), C) & m2_nattra_1(F, k6_cat_2(A, B), C, D, E)) ) ) ) )  => m2_nattra_1(k6_isocat_2(A, B, C, D, E, F), A, k9_nattra_1(B, C), k5_isocat_2(A, B, C, D), k5_isocat_2(A, B, C, E))) ) ).
fof(dt_k7_isocat_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) ) ) )  => m2_cat_1(k7_isocat_2(A, B, C), k9_nattra_1(k6_cat_2(A, B), C), k9_nattra_1(A, k9_nattra_1(B, C)))) ) ).
fof(dt_k8_isocat_2, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  (m2_cat_1(D, A, B) & m2_cat_1(E, A, C)) ) ) )  => m2_cat_1(k8_isocat_2(A, B, C, D, E), A, k6_cat_2(B, C))) ) ).
fof(redefinition_k8_isocat_2, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  (m2_cat_1(D, A, B) & m2_cat_1(E, A, C)) ) ) )  => k8_isocat_2(A, B, C, D, E)=k13_funct_3(D, E)) ) ).
fof(dt_k9_isocat_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  & m2_cat_1(D, A, k6_cat_2(B, C))) ) )  => m2_cat_1(k9_isocat_2(A, B, C, D), A, B)) ) ).
fof(dt_k10_isocat_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  & m2_cat_1(D, A, k6_cat_2(B, C))) ) )  => m2_cat_1(k10_isocat_2(A, B, C, D), A, C)) ) ).
fof(dt_k11_isocat_2, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  (m2_cat_1(D, A, k6_cat_2(B, C)) &  (m2_cat_1(E, A, k6_cat_2(B, C)) & m2_nattra_1(F, A, k6_cat_2(B, C), D, E)) ) ) ) )  => m2_nattra_1(k11_isocat_2(A, B, C, D, E, F), A, B, k9_isocat_2(A, B, C, D), k9_isocat_2(A, B, C, E))) ) ).
fof(dt_k12_isocat_2, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  (m2_cat_1(D, A, k6_cat_2(B, C)) &  (m2_cat_1(E, A, k6_cat_2(B, C)) & m2_nattra_1(F, A, k6_cat_2(B, C), D, E)) ) ) ) )  => m2_nattra_1(k12_isocat_2(A, B, C, D, E, F), A, C, k10_isocat_2(A, B, C, D), k10_isocat_2(A, B, C, E))) ) ).
fof(dt_k13_isocat_2, axiom,  (! [A, B, C, D, E, F, G, H, I] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  (m2_cat_1(D, A, B) &  (m2_cat_1(E, A, B) &  (m2_cat_1(F, A, C) &  (m2_cat_1(G, A, C) &  (m1_nattra_1(H, A, B, D, E) & m1_nattra_1(I, A, C, F, G)) ) ) ) ) ) ) )  => m1_nattra_1(k13_isocat_2(A, B, C, D, E, F, G, H, I), A, k6_cat_2(B, C), k8_isocat_2(A, B, C, D, F), k8_isocat_2(A, B, C, E, G))) ) ).
fof(dt_k14_isocat_2, axiom,  (! [A, B, C, D, E, F, G, H, I] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  &  (m2_cat_1(D, A, B) &  (m2_cat_1(E, A, B) &  (m2_cat_1(F, A, C) &  (m2_cat_1(G, A, C) &  (m2_nattra_1(H, A, B, D, E) & m2_nattra_1(I, A, C, F, G)) ) ) ) ) ) ) )  => m2_nattra_1(k14_isocat_2(A, B, C, D, E, F, G, H, I), A, k6_cat_2(B, C), k8_isocat_2(A, B, C, D, F), k8_isocat_2(A, B, C, E, G))) ) ).
fof(dt_k15_isocat_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) ) ) )  => m2_cat_1(k15_isocat_2(A, B, C), k9_nattra_1(A, k6_cat_2(B, C)), k6_cat_2(k9_nattra_1(A, B), k9_nattra_1(A, C)))) ) ).
fof(fc1_isomichi, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v7_struct_0(k2_tex_1(A))) ) ) ).
fof(rc1_isomichi, axiom,  (? [A] :  (l1_pre_topc(A) &  ( ~ (v7_struct_0(A))  &  (v1_pre_topc(A) &  (v2_pre_topc(A) & v2_tdlat_3(A)) ) ) ) ) ).
fof(cc1_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v4_pre_topc(B, A) => v1_isomichi(B, A)) ) ) ) ) ).
fof(cc2_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v4_tops_1(B, A) =>  (v1_isomichi(B, A) & v2_isomichi(B, A)) ) ) ) ) ) ).
fof(cc3_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_isomichi(B, A) & v2_isomichi(B, A))  => v4_tops_1(B, A)) ) ) ) ) ).
fof(rc2_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  (v4_tops_1(B, A) &  (v1_isomichi(B, A) & v2_isomichi(B, A)) ) ) ) ) ) ).
fof(cc4_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_isomichi(B, A) => v1_decomp_1(B, A)) ) ) ) ) ).
fof(cc5_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_decomp_1(B, A) => v2_isomichi(B, A)) ) ) ) ) ).
fof(fc2_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (v5_tops_1(k2_struct_0(A), A) & v6_tops_1(k2_struct_0(A), A)) ) ) ).
fof(cc6_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_xboole_0(B) =>  (v5_tops_1(B, A) & v6_tops_1(B, A)) ) ) ) ) ) ).
fof(rc3_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  (v5_tops_1(B, A) & v6_tops_1(B, A)) ) ) ) ) ).
fof(fc3_isomichi, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  &  (v6_tops_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v5_tops_1(k3_subset_1(u1_struct_0(A), B), A)) ) ).
fof(fc4_isomichi, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  &  (v5_tops_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v6_tops_1(k3_subset_1(u1_struct_0(A), B), A)) ) ).
fof(cc7_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v6_tops_1(B, A) => v3_pre_topc(B, A)) ) ) ) ) ).
fof(cc8_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v5_tops_1(B, A) => v4_pre_topc(B, A)) ) ) ) ) ).
fof(fc5_isomichi, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => v6_tops_1(k1_tops_1(A, k2_pre_topc(A, B)), A)) ) ).
fof(fc6_isomichi, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => v5_tops_1(k2_pre_topc(A, k1_tops_1(A, B)), A)) ) ).
fof(cc9_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v6_tops_1(B, A) =>  (v3_pre_topc(B, A) & v4_tops_1(B, A)) ) ) ) ) ) ).
fof(cc10_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v3_pre_topc(B, A) & v4_tops_1(B, A))  => v6_tops_1(B, A)) ) ) ) ) ).
fof(cc11_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v5_tops_1(B, A) =>  (v4_pre_topc(B, A) & v4_tops_1(B, A)) ) ) ) ) ) ).
fof(cc12_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v4_pre_topc(B, A) & v4_tops_1(B, A))  => v5_tops_1(B, A)) ) ) ) ) ).
fof(fc7_isomichi, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => v6_tops_1(k1_isomichi(A, B), A)) ) ).
fof(fc8_isomichi, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => v1_xboole_0(k1_isomichi(A, k1_isomichi(A, B)))) ) ).
fof(cc13_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_isomichi(B, A) =>  ( ~ (v4_isomichi(B, A))  &  ~ (v5_isomichi(B, A)) ) ) ) ) ) ) ).
fof(cc14_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v4_isomichi(B, A) =>  ( ~ (v3_isomichi(B, A))  &  ~ (v5_isomichi(B, A)) ) ) ) ) ) ) ).
fof(cc15_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v5_isomichi(B, A) =>  ( ~ (v3_isomichi(B, A))  &  ~ (v4_isomichi(B, A)) ) ) ) ) ) ) ).
fof(cc16_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_isomichi(B, A) => v3_isomichi(B, A)) ) ) ) ) ).
fof(cc17_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_isomichi(B, A) => v3_isomichi(B, A)) ) ) ) ) ).
fof(cc18_isomichi, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v2_tdlat_3(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ( ~ (v1_xboole_0(B))  & v1_subset_1(B, u1_struct_0(A)))  => v4_isomichi(B, A)) ) ) ) ) ).
fof(rc4_isomichi, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_pre_topc(A) &  (v2_pre_topc(A) &  (v2_tdlat_3(A) & l1_pre_topc(A)) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v4_isomichi(B, A)) ) ) ) ).
fof(rc5_isomichi, axiom,  (? [A] :  (l1_pre_topc(A) &  ( ~ (v7_struct_0(A))  &  (v1_pre_topc(A) &  (v2_pre_topc(A) &  (v6_isomichi(A) & v7_isomichi(A)) ) ) ) ) ) ).
fof(rc6_isomichi, axiom,  (? [A] :  (l1_pre_topc(A) &  ( ~ (v2_struct_0(A))  &  (v1_pre_topc(A) &  (v2_pre_topc(A) & v8_isomichi(A)) ) ) ) ) ).
fof(rc7_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v3_isomichi(B, A)) ) ) ) ).
fof(rc8_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) &  (v7_isomichi(A) & l1_pre_topc(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v4_isomichi(B, A)) ) ) ) ).
fof(rc9_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) &  (v8_isomichi(A) & l1_pre_topc(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v5_isomichi(B, A)) ) ) ) ).
fof(fc9_isomichi, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  &  (v3_isomichi(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v3_isomichi(k3_subset_1(u1_struct_0(A), B), A)) ) ).
fof(fc10_isomichi, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) &  (v7_isomichi(A) & l1_pre_topc(A)) )  &  (v4_isomichi(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v4_isomichi(k3_subset_1(u1_struct_0(A), B), A)) ) ).
fof(fc11_isomichi, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) &  (v8_isomichi(A) & l1_pre_topc(A)) )  &  (v5_isomichi(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v5_isomichi(k3_subset_1(u1_struct_0(A), B), A)) ) ).
fof(t1_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k9_subset_1(u1_struct_0(A), k1_tops_1(A, k2_pre_topc(A, k1_tops_1(A, B))), k1_tops_1(A, k2_pre_topc(A, k1_tops_1(A, C))))=k1_tops_1(A, k2_pre_topc(A, k1_tops_1(A, k9_subset_1(u1_struct_0(A), B, C))))) ) ) ) ) ) ).
fof(t2_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k2_pre_topc(A, k1_tops_1(A, k2_pre_topc(A, k4_subset_1(u1_struct_0(A), B, C))))=k4_subset_1(u1_struct_0(A), k2_pre_topc(A, k1_tops_1(A, k2_pre_topc(A, B))), k2_pre_topc(A, k1_tops_1(A, k2_pre_topc(A, C))))) ) ) ) ) ) ).
fof(d1_isomichi, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_isomichi(B, A) <=> k1_tops_1(A, k2_pre_topc(A, B))=k1_tops_1(A, B)) ) ) ) ) ).
fof(d2_isomichi, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_isomichi(B, A) <=> k2_pre_topc(A, k1_tops_1(A, B))=k2_pre_topc(A, B)) ) ) ) ) ).
fof(t3_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v4_pre_topc(B, A) => v1_isomichi(B, A)) ) ) ) ) ).
fof(t4_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_pre_topc(B, A) => v2_isomichi(B, A)) ) ) ) ) ).
fof(d3_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v4_tops_1(B, A) <=>  (k2_pre_topc(A, k1_tops_1(A, B))=k2_pre_topc(A, B) & k1_tops_1(A, k2_pre_topc(A, B))=k1_tops_1(A, B)) ) ) ) ) ) ).
fof(t5_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v4_tops_1(B, A) <=>  (v2_isomichi(B, A) & v1_isomichi(B, A)) ) ) ) ) ) ).
fof(t6_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_isomichi(B, A) => v2_isomichi(k3_subset_1(u1_struct_0(A), B), A)) ) ) ) ) ).
fof(t7_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_isomichi(B, A) => v1_isomichi(k3_subset_1(u1_struct_0(A), B), A)) ) ) ) ) ).
fof(t8_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_isomichi(B, A) <=> r1_tarski(k1_tops_1(A, k2_pre_topc(A, B)), B)) ) ) ) ) ).
fof(t9_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_isomichi(B, A) <=> r1_tarski(B, k2_pre_topc(A, k1_tops_1(A, B)))) ) ) ) ) ).
fof(t10_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v4_tops_1(B, A) <=>  (r1_tarski(k1_tops_1(A, k2_pre_topc(A, B)), B) & r1_tarski(B, k2_pre_topc(A, k1_tops_1(A, B)))) ) ) ) ) ) ).
fof(t11_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (v6_tops_1(k2_struct_0(A), A) & v5_tops_1(k2_struct_0(A), A)) ) ) ).
fof(t12_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => k1_tops_1(A, k2_pre_topc(A, k1_struct_0(A)))=k1_struct_0(A)) ) ).
fof(t13_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v6_tops_1(B, A) => v5_tops_1(k3_subset_1(u1_struct_0(A), B), A)) ) ) ) ) ).
fof(t14_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v5_tops_1(B, A) => v6_tops_1(k3_subset_1(u1_struct_0(A), B), A)) ) ) ) ) ).
fof(t15_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v6_tops_1(k1_tops_1(A, k2_pre_topc(A, B)), A) & v5_tops_1(k2_pre_topc(A, k1_tops_1(A, B)), A)) ) ) ) ) ).
fof(t16_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v6_tops_1(B, A) <=>  (v1_isomichi(B, A) & v3_pre_topc(B, A)) ) ) ) ) ) ).
fof(t17_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v5_tops_1(B, A) <=>  (v2_isomichi(B, A) & v4_pre_topc(B, A)) ) ) ) ) ) ).
fof(t18_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v4_tops_1(B, A) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) &  (v6_tops_1(C, A) &  (r1_tarski(C, B) & r1_tarski(B, k2_pre_topc(A, C))) ) ) ) ) ) ) ) ) ).
fof(t19_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v4_tops_1(B, A) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) &  (v5_tops_1(C, A) &  (r1_tarski(k1_tops_1(A, C), B) & r1_tarski(B, C)) ) ) ) ) ) ) ) ) ).
fof(d4_isomichi, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k2_tops_1(A, B)=k7_subset_1(u1_struct_0(A), k2_pre_topc(A, B), k1_tops_1(A, B))) ) ) ) ).
fof(t20_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v4_tops_1(B, A) <=>  (k2_tops_1(A, B)=k7_subset_1(u1_struct_0(A), k2_pre_topc(A, k1_tops_1(A, B)), k1_tops_1(A, k2_pre_topc(A, B))) & k2_tops_1(A, B)=k9_subset_1(u1_struct_0(A), k2_pre_topc(A, k1_tops_1(A, B)), k2_pre_topc(A, k1_tops_1(A, k3_subset_1(u1_struct_0(A), B))))) ) ) ) ) ) ).
fof(d5_isomichi, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k1_isomichi(A, B)=k1_tops_1(A, k2_tops_1(A, B))) ) ) ) ).
fof(t21_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v6_tops_1(k1_isomichi(A, B), A) &  (k1_isomichi(A, B)=k7_subset_1(u1_struct_0(A), k1_tops_1(A, k2_pre_topc(A, B)), k2_pre_topc(A, k1_tops_1(A, B))) & k1_isomichi(A, B)=k9_subset_1(u1_struct_0(A), k1_tops_1(A, k2_pre_topc(A, B)), k1_tops_1(A, k2_pre_topc(A, k3_subset_1(u1_struct_0(A), B))))) ) ) ) ) ) ).
fof(t22_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_isomichi(B, A) <=>  (v6_tops_1(k1_tops_1(A, B), A) & v1_xboole_0(k1_isomichi(A, B))) ) ) ) ) ) ).
fof(t23_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_isomichi(B, A) <=>  (v5_tops_1(k2_pre_topc(A, B), A) & v1_xboole_0(k1_isomichi(A, B))) ) ) ) ) ) ).
fof(t24_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v4_tops_1(B, A) <=>  (v6_tops_1(k1_tops_1(A, B), A) &  (v5_tops_1(k2_pre_topc(A, B), A) & v1_xboole_0(k1_isomichi(A, B))) ) ) ) ) ) ) ).
fof(t25_isomichi, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (A=k4_rcomp_1(k2_xxreal_0, B) => k1_tops_1(k3_topmetr, A)=k2_rcomp_1(k2_xxreal_0, B)) ) ) ) ) ).
fof(t26_isomichi, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (A=k3_rcomp_1(B, k1_xxreal_0) => k1_tops_1(k3_topmetr, A)=k2_rcomp_1(B, k1_xxreal_0)) ) ) ) ) ).
fof(t27_isomichi, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (A=k4_subset_1(k1_numbers, k4_subset_1(k1_numbers, k4_rcomp_1(k2_xxreal_0, B), k3_borsuk_5(B, C)), k3_rcomp_1(C, k1_xxreal_0)) => k2_pre_topc(k3_topmetr, A)=u1_struct_0(k3_topmetr)) ) ) ) ) ) ) ).
fof(t28_isomichi, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (A=k2_borsuk_5(B, C) => k1_tops_1(k3_topmetr, A)=k1_xboole_0) ) ) ) ) ) ) ).
fof(t29_isomichi, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (A=k3_borsuk_5(B, C) => k1_tops_1(k3_topmetr, A)=k1_xboole_0) ) ) ) ) ) ) ).
fof(t30_isomichi, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(B, A) => k3_borsuk_5(A, B)=k1_xboole_0) ) ) ) ) ).
fof(t31_isomichi, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => r1_tarski(k3_borsuk_5(A, B), k3_rcomp_1(A, k1_xxreal_0))) ) ) ) ).
fof(t32_isomichi, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (A=k4_subset_1(k1_numbers, k2_rcomp_1(k2_xxreal_0, B), k2_borsuk_5(C, D)) =>  (r1_xxreal_0(C, B) |  (r1_xxreal_0(D, C) | k1_tops_1(k3_topmetr, A)=k2_rcomp_1(k2_xxreal_0, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_isomichi, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(B, A))  => k1_numbers=k4_subset_1(k1_numbers, k4_subset_1(k1_numbers, k2_rcomp_1(k2_xxreal_0, A), k1_rcomp_1(A, B)), k2_rcomp_1(B, k1_xxreal_0))) ) ) ) ) ).
fof(t34_isomichi, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (A=k4_subset_1(k1_numbers, k4_rcomp_1(k2_xxreal_0, B), k1_rcomp_1(C, D)) =>  (r1_xxreal_0(C, B) |  (r1_xxreal_0(D, C) | k1_tops_1(k3_topmetr, A)=k4_subset_1(k1_numbers, k2_rcomp_1(k2_xxreal_0, B), k2_rcomp_1(C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_isomichi, axiom,  (! [A] :  (! [B] :  ~ ( (r3_xboole_0(A, B) &  ( ~ (r1_tarski(A, B))  &  ~ (r2_xboole_0(B, A)) ) ) ) ) ) ).
fof(d6_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_isomichi(B, A) <=> r1_tarski(k1_tops_1(A, k2_pre_topc(A, B)), k2_pre_topc(A, k1_tops_1(A, B)))) ) ) ) ) ).
fof(d7_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v4_isomichi(B, A) <=> r2_xboole_0(k2_pre_topc(A, k1_tops_1(A, B)), k1_tops_1(A, k2_pre_topc(A, B)))) ) ) ) ) ).
fof(d8_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v5_isomichi(B, A) <=>  ~ (r3_xboole_0(k2_pre_topc(A, k1_tops_1(A, B)), k1_tops_1(A, k2_pre_topc(A, B)))) ) ) ) ) ) ).
fof(t36_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( ~ (v3_isomichi(B, A))  &  ( ~ (v4_isomichi(B, A))  &  ~ (v5_isomichi(B, A)) ) ) ) ) ) ) ) ).
fof(t37_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_isomichi(B, A) <=> v1_xboole_0(k1_isomichi(A, B))) ) ) ) ) ).
fof(d9_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (v6_isomichi(A) <=>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v3_isomichi(B, A)) ) ) ) ) ).
fof(d10_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (v7_isomichi(A) <=>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v4_isomichi(B, A)) ) ) ) ) ).
fof(d11_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (v8_isomichi(A) <=>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v5_isomichi(B, A)) ) ) ) ) ).
fof(t38_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_isomichi(B, A) <=> v3_isomichi(k3_subset_1(u1_struct_0(A), B), A)) ) ) ) ) ).
fof(t39_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v4_isomichi(B, A) <=> v4_isomichi(k3_subset_1(u1_struct_0(A), B), A)) ) ) ) ) ).
fof(t40_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v5_isomichi(B, A) <=> v5_isomichi(k3_subset_1(u1_struct_0(A), B), A)) ) ) ) ) ).
fof(t41_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_isomichi(B, A) =>  (k1_tops_1(A, k2_pre_topc(A, B))=k1_tops_1(A, k2_pre_topc(A, k1_tops_1(A, B))) & k2_pre_topc(A, k1_tops_1(A, B))=k2_pre_topc(A, k1_tops_1(A, k2_pre_topc(A, B)))) ) ) ) ) ) ).
fof(t42_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (k1_tops_1(A, k2_pre_topc(A, B))=k1_tops_1(A, k2_pre_topc(A, k1_tops_1(A, B))) | k2_pre_topc(A, k1_tops_1(A, B))=k2_pre_topc(A, k1_tops_1(A, k2_pre_topc(A, B))))  => v3_isomichi(B, A)) ) ) ) ) ).
fof(t43_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v3_isomichi(B, A) & v3_isomichi(C, A))  =>  (k9_subset_1(u1_struct_0(A), k1_tops_1(A, k2_pre_topc(A, B)), k1_tops_1(A, k2_pre_topc(A, C)))=k1_tops_1(A, k2_pre_topc(A, k9_subset_1(u1_struct_0(A), B, C))) & k4_subset_1(u1_struct_0(A), k2_pre_topc(A, k1_tops_1(A, B)), k2_pre_topc(A, k1_tops_1(A, C)))=k2_pre_topc(A, k1_tops_1(A, k4_subset_1(u1_struct_0(A), B, C)))) ) ) ) ) ) ) ) ).
fof(t44_isomichi, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v3_isomichi(B, A) & v3_isomichi(C, A))  =>  (v3_isomichi(k4_subset_1(u1_struct_0(A), B, C), A) & v3_isomichi(k9_subset_1(u1_struct_0(A), B, C), A)) ) ) ) ) ) ) ) ).
fof(dt_k1_isomichi, axiom,  (! [A, B] :  ( (l1_pre_topc(A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k1_isomichi(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(t1_jct_misc, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r2_hidden(A, k1_rcomp_1(C, D)) & r2_hidden(B, k1_rcomp_1(C, D)))  => r2_tarski(k7_xcmplx_0(k2_xcmplx_0(A, B), 2), k1_rcomp_1(C, D))) ) ) ) ) ) ) ) ) ).
fof(t2_jct_misc, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k9_complex1(k6_xcmplx_0(C, D)), k9_complex1(k6_xcmplx_0(A, B)))), k2_xcmplx_0(k9_complex1(k6_xcmplx_0(C, A)), k9_complex1(k6_xcmplx_0(D, B))))) ) ) ) ) ) ) ) ).
fof(t3_jct_misc, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( (r2_hidden(C, k2_rcomp_1(A, B)) & r1_xxreal_0(k4_xxreal_0(k9_complex1(A), k9_complex1(B)), k9_complex1(C))) ) ) ) ) ) ) ) ).
fof(t4_jct_misc, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A, B)))) =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(k2_borsuk_1(A, B))) =>  ~ ( (r2_tarski(D, C) &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(B))) =>  ~ ( (v3_pre_topc(E, A) &  (v3_pre_topc(F, B) &  (r2_tarski(D, k3_borsuk_1(A, B, E, F)) & r1_tarski(k3_borsuk_1(A, B, E, F), C)) ) ) ) ) ) ) ) ) ) ) )  => v3_pre_topc(C, k2_borsuk_1(A, B))) ) ) ) ) ) ) ).
fof(t5_jct_misc, axiom,  (! [A] :  ( (v1_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v1_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  => v1_rcomp_1(k9_subset_1(k1_numbers, A, B))) ) ) ) ).
fof(t6_jct_misc, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v1_pscomp_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_connsp_1(C, A) => v6_xxreal_2(k7_relset_1(u1_struct_0(A), k1_numbers, B, C))) ) ) ) ) ) ) ).
fof(t7_jct_misc, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r2_hidden(C, A) & r2_hidden(D, B))  => r1_xxreal_0(k1_jct_misc(A, B), k9_complex1(k6_xcmplx_0(C, D)))) ) ) ) ) ) ) ) ) ).
fof(t8_jct_misc, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(C, A) & r1_tarski(D, B))  => r1_xxreal_0(k1_jct_misc(A, B), k1_jct_misc(C, D))) ) ) ) ) ) ) ) ) ).
fof(t9_jct_misc, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (? [C] :  (v1_xreal_0(C) &  (? [D] :  (v1_xreal_0(D) &  (r2_hidden(C, A) &  (r2_hidden(D, B) & k1_jct_misc(A, B)=k9_complex1(k6_xcmplx_0(C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t10_jct_misc, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  => r1_xxreal_0(k5_numbers, k1_jct_misc(A, B))) ) ) ) ).
fof(t11_jct_misc, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  ~ ( (r1_subset_1(A, B) & r1_xxreal_0(k1_jct_misc(A, B), k5_numbers)) ) ) ) ) ) ).
fof(t12_jct_misc, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( (v1_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_xboole_0(C, D) &  (r1_tarski(C, k1_rcomp_1(A, B)) & r1_tarski(D, k1_rcomp_1(A, B))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_zfmisc_1(k1_numbers)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k1_numbers))))) )  =>  ~ ( ( (! [F] :  (v7_ordinal1(F) =>  (v6_xxreal_2(k8_nat_1(k1_zfmisc_1(k1_numbers), E, F)) &  ( ~ (r1_xboole_0(k8_nat_1(k1_zfmisc_1(k1_numbers), E, F), C))  &  ~ (r1_xboole_0(k8_nat_1(k1_zfmisc_1(k1_numbers), E, F), D)) ) ) ) )  &  (! [F] :  (v1_xreal_0(F) =>  ~ ( (r2_hidden(F, k1_rcomp_1(A, B)) &  ( ~ (r2_hidden(F, k4_subset_1(k1_numbers, C, D)))  &  (! [G] :  (v7_ordinal1(G) =>  (? [H] :  (v7_ordinal1(H) &  (r1_xxreal_0(G, H) & r2_hidden(F, k8_nat_1(k1_zfmisc_1(k1_numbers), E, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_jct_misc, axiom,  (! [A] :  ( (v4_pre_topc(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (v9_rltopsp1(A, k15_euclid(2)) => v2_rcomp_1(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, A))) ) ) ).
fof(t14_jct_misc, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (v9_rltopsp1(A, k15_euclid(2)) => v5_xxreal_2(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, A))) ) ) ).
fof(t15_jct_misc, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => v1_rcomp_1(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, A))) ) ).
fof(s2_jct_misc, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s2_jct_misc) =>  (? [B] :  (m1_subset_1(B, f2_s2_jct_misc) &  (? [C] :  (m1_subset_1(C, f3_s2_jct_misc) & p1_s2_jct_misc(A, B, C)) ) ) ) ) )  =>  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, f1_s2_jct_misc, f2_s2_jct_misc) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(f1_s2_jct_misc, f2_s2_jct_misc)))) )  &  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, f1_s2_jct_misc, f3_s2_jct_misc) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(f1_s2_jct_misc, f3_s2_jct_misc)))) )  &  (! [C] :  (m1_subset_1(C, f1_s2_jct_misc) => p1_s2_jct_misc(C, k3_funct_2(f1_s2_jct_misc, f2_s2_jct_misc, A, C), k3_funct_2(f1_s2_jct_misc, f3_s2_jct_misc, B, C))) ) ) ) ) ) ) ).
fof(dt_f1_s1_jct_misc, axiom,  ~ (v1_xboole_0(f1_s1_jct_misc)) ).
fof(dt_f1_s2_jct_misc, axiom,  ~ (v1_xboole_0(f1_s2_jct_misc)) ).
fof(dt_f2_s2_jct_misc, axiom,  ~ (v1_xboole_0(f2_s2_jct_misc)) ).
fof(dt_f3_s2_jct_misc, axiom,  ~ (v1_xboole_0(f3_s2_jct_misc)) ).
fof(dt_k1_jct_misc, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  => v1_xreal_0(k1_jct_misc(A, B))) ) ).
fof(commutativity_k1_jct_misc, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  => k1_jct_misc(A, B)=k1_jct_misc(B, A)) ) ).
fof(d1_jct_misc, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (! [C] :  (v1_xreal_0(C) =>  (C=k1_jct_misc(A, B) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_numbers)) &  (D=a_2_0_jct_misc(A, B) & C=k3_seq_4(D)) ) ) ) ) ) ) ) ) ) ).
fof(s1_jct_misc, axiom,  ~ (v1_xboole_0(a_0_0_jct_misc)) ).
fof(fraenkel_a_2_0_jct_misc, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (r2_hidden(A, a_2_0_jct_misc(B, C)) <=>  (? [D, E] :  ( (v1_xreal_0(D) & v1_xreal_0(E))  &  (A=k9_complex1(k6_xcmplx_0(D, E)) &  (r2_hidden(D, B) & r2_hidden(E, C)) ) ) ) ) ) ) ).
fof(fraenkel_a_0_0_jct_misc, axiom,  (! [A] :  (r2_hidden(A, a_0_0_jct_misc) <=>  (? [B] :  (m1_subset_1(B, f1_s1_jct_misc) & A=f2_s1_jct_misc(B)) ) ) ) ).
fof(fc1_jgraph_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v2_struct_0(k1_jgraph_1(A))) ) ) ).
fof(t1_jgraph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( (v7_graph_1(B, A) & m2_graph_1(B, A))  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  ( (v1_graph_4(B, A) & r3_graph_4(A, C, B))  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(E, k3_finseq_1(C)) & k1_funct_1(C, D)=k1_funct_1(C, E)) )  =>  (r1_xxreal_0(E, D) |  (D=1 & E=k3_finseq_1(C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_jgraph_1, axiom,  (! [A] : k1_jgraph_1(A)=g1_graph_1(A, k2_zfmisc_1(A, A), k9_funct_3(A, A), k10_funct_3(A, A))) ).
fof(t2_jgraph_1, axiom,  (! [A] : u1_struct_0(k1_jgraph_1(A))=A) ).
fof(d2_jgraph_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (B=k2_jgraph_1(A) <=>  (k3_finseq_1(B)=k7_nat_d(k3_finseq_1(A), 1) &  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(1, C) =>  (r1_xxreal_0(k3_finseq_1(A), C) | k1_funct_1(B, C)=k4_tarski(k1_funct_1(A, C), k1_funct_1(A, k1_nat_1(C, 1)))) ) ) ) ) ) ) ) ) ) ).
fof(t3_jgraph_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) => m2_finseq_1(B, u1_struct_0(k1_jgraph_1(A)))) ) ) ) ).
fof(t4_jgraph_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) => m2_finseq_1(k2_jgraph_1(B), u4_struct_0(k1_jgraph_1(A)))) ) ) ) ).
fof(t5_jgraph_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, A) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(B, k3_finseq_1(k3_jgraph_1(A, C))))  => r2_tarski(k1_funct_1(k3_jgraph_1(A, C), B), u4_struct_0(k1_jgraph_1(A)))) ) ) ) ) ) ) ).
fof(t6_jgraph_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (v7_graph_1(k3_jgraph_1(A, B), k1_jgraph_1(A)) & m2_graph_1(k3_jgraph_1(A, B), k1_jgraph_1(A))) ) ) ) ) ).
fof(t7_jgraph_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k1_jgraph_1(A))) =>  ( (r1_xxreal_0(1, k3_finseq_1(B)) & B=C)  => r3_graph_4(k1_jgraph_1(A), C, k4_jgraph_1(A, B))) ) ) ) ) ) ) ).
fof(d3_jgraph_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r1_jgraph_1(A, B, C) <=>  (k1_funct_1(B, 1)=k1_funct_1(C, 1) &  (k1_funct_1(B, k3_finseq_1(B))=k1_funct_1(C, k3_finseq_1(C)) &  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(k4_jgraph_1(A, B))) &  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(B)) &  (? [F] :  ( (v7_graph_1(F, k1_jgraph_1(A)) &  (v1_graph_2(F, k1_jgraph_1(A)) & m2_graph_1(F, k1_jgraph_1(A))) )  &  (? [G] :  (m2_finseq_1(G, u1_struct_0(k1_jgraph_1(A))) &  (k15_finseq_1(D)=F &  (k15_finseq_1(E)=C &  (G=C & r3_graph_4(k1_jgraph_1(A), G, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_jgraph_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r1_jgraph_1(A, B, C) =>  (r1_xxreal_0(1, k3_finseq_1(C)) & r1_xxreal_0(k3_finseq_1(C), k3_finseq_1(B))) ) ) ) ) ) ) ) ).
fof(t9_jgraph_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  ~ ( (r1_xxreal_0(1, k3_finseq_1(B)) &  (! [C] :  (m2_finseq_1(C, A) =>  ~ (r1_jgraph_1(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t10_jgraph_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r1_jgraph_1(A, B, C) => r1_tarski(k2_relset_1(u4_struct_0(k1_jgraph_1(A)), k4_jgraph_1(A, C)), k2_relset_1(u4_struct_0(k1_jgraph_1(A)), k4_jgraph_1(A, B)))) ) ) ) ) ) ) ).
fof(t11_jgraph_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r1_jgraph_1(A, B, C) =>  (k1_funct_1(B, 1)=k1_funct_1(B, k3_finseq_1(B)) | v2_funct_1(C)) ) ) ) ) ) ) ) ).
fof(d4_jgraph_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(A))) =>  (v1_jgraph_1(B, A) <=>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( ( ~ (r1_xboole_0(k2_topreal1(A, B, C), k2_topreal1(A, B, D)))  &  ( ~ ( (k9_subset_1(u1_struct_0(k15_euclid(A)), k2_topreal1(A, B, C), k2_topreal1(A, B, D))=k1_tarski(k1_funct_1(B, C)) &  (k1_funct_1(B, C)=k1_funct_1(B, D) | k1_funct_1(B, C)=k1_funct_1(B, k1_nat_1(D, 1))) ) )  &  ( ~ ( (k9_subset_1(u1_struct_0(k15_euclid(A)), k2_topreal1(A, B, C), k2_topreal1(A, B, D))=k1_tarski(k1_funct_1(B, k1_nat_1(C, 1))) &  (k1_funct_1(B, k1_nat_1(C, 1))=k1_funct_1(B, D) | k1_funct_1(B, k1_nat_1(C, 1))=k1_funct_1(B, k1_nat_1(D, 1))) ) )  &  ~ (k2_topreal1(A, B, C)=k2_topreal1(A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_jgraph_1, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (v3_topreal1(A) => v1_goboard5(A)) ) ) ).
fof(t13_jgraph_1, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  ( (v1_goboard5(A) & r1_xboole_0(k2_topreal1(2, A, 1), k2_topreal1(2, A, k7_nat_d(k3_finseq_1(A), 1))))  => v3_topreal1(A)) ) ) ).
fof(t14_jgraph_1, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  ( (v1_jgraph_1(A, 2) & v1_graph_4(k4_jgraph_1(u1_struct_0(k15_euclid(2)), A), k1_jgraph_1(u1_struct_0(k15_euclid(2)))))  => v1_goboard5(A)) ) ) ).
fof(t15_jgraph_1, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  ( (v1_jgraph_1(A, 2) & v1_graph_4(k4_jgraph_1(u1_struct_0(k15_euclid(2)), A), k1_jgraph_1(u1_struct_0(k15_euclid(2)))))  =>  (k1_funct_1(A, 1)=k1_funct_1(A, k3_finseq_1(A)) | v3_topreal1(A)) ) ) ) ).
fof(t16_jgraph_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  ~ ( ( (? [E] :  ( ~ (E=C)  & r2_tarski(E, k9_subset_1(u1_struct_0(k15_euclid(A)), k1_rltopsp1(k15_euclid(A), B, C), k1_rltopsp1(k15_euclid(A), C, D)))) )  &  ( ~ (r2_tarski(B, k1_rltopsp1(k15_euclid(A), C, D)))  &  ~ (r2_tarski(D, k1_rltopsp1(k15_euclid(A), B, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_jgraph_1, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  ( (v3_topreal1(A) &  (r1_tarski(k9_subset_1(u1_struct_0(k15_euclid(2)), k2_topreal1(2, A, 1), k2_topreal1(2, A, k1_nat_1(1, 1))), k1_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(1, 1)))) & r1_tarski(k9_subset_1(u1_struct_0(k15_euclid(2)), k2_topreal1(2, A, k7_nat_d(k3_finseq_1(A), 2)), k2_topreal1(2, A, k7_nat_d(k3_finseq_1(A), 1))), k1_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), A, k7_nat_d(k3_finseq_1(A), 1))))) )  => v2_topreal1(A)) ) ) ).
fof(t18_jgraph_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (v1_graph_4(k4_jgraph_1(A, B), k1_jgraph_1(A)) =>  (k1_funct_1(B, 1)=k1_funct_1(B, k3_finseq_1(B)) |  (v2_funct_1(B) &  ~ (k3_finseq_1(B)=1) ) ) ) ) ) ) ) ).
fof(t19_jgraph_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (v2_funct_1(B) =>  (r1_xxreal_0(k3_finseq_1(B), 1) |  (v1_graph_4(k4_jgraph_1(A, B), k1_jgraph_1(A)) &  ~ (k1_funct_1(B, 1)=k1_funct_1(B, k3_finseq_1(B))) ) ) ) ) ) ) ) ).
fof(t20_jgraph_1, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  ( (v1_jgraph_1(A, 2) & v1_graph_4(k4_jgraph_1(u1_struct_0(k15_euclid(2)), A), k1_jgraph_1(u1_struct_0(k15_euclid(2)))))  =>  (k1_funct_1(A, 1)=k1_funct_1(A, k3_finseq_1(A)) | v2_topreal1(A)) ) ) ) ).
fof(t21_jgraph_1, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_jgraph_1(u1_struct_0(k15_euclid(2)), A, B) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(B)) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ~ ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(k1_nat_1(D, 1), k3_finseq_1(A)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, D)=k7_partfun1(u1_struct_0(k15_euclid(2)), B, C) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(D, 1))=k7_partfun1(u1_struct_0(k15_euclid(2)), B, k1_nat_1(C, 1)) &  (k1_funct_1(A, D)=k1_funct_1(B, C) & k1_funct_1(A, k1_nat_1(D, 1))=k1_funct_1(B, k1_nat_1(C, 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_jgraph_1, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (r1_jgraph_1(u1_struct_0(k15_euclid(2)), A, B) => r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), B), k2_relset_1(u1_struct_0(k15_euclid(2)), A))) ) ) ) ) ).
fof(t23_jgraph_1, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (r1_jgraph_1(u1_struct_0(k15_euclid(2)), A, B) => r1_tarski(k3_topreal1(2, B), k3_topreal1(2, A))) ) ) ) ) ).
fof(t24_jgraph_1, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  ( (v1_topreal1(A) & r1_jgraph_1(u1_struct_0(k15_euclid(2)), A, B))  => v1_topreal1(B)) ) ) ) ) ).
fof(t25_jgraph_1, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  ~ ( (v1_topreal1(A) &  (r1_xxreal_0(2, k3_finseq_1(A)) &  ( ~ (k1_funct_1(A, 1)=k1_funct_1(A, k3_finseq_1(A)))  &  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_xxreal_0(2, k3_finseq_1(B)) &  (v1_topreal1(B) &  (v2_funct_1(B) &  (r1_tarski(k3_topreal1(2, B), k3_topreal1(2, A)) &  (k1_funct_1(A, 1)=k1_funct_1(B, 1) &  (k1_funct_1(A, k3_finseq_1(A))=k1_funct_1(B, k3_finseq_1(B)) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), B), k2_relset_1(u1_struct_0(k15_euclid(2)), A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_jgraph_1, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  ~ ( (v1_topreal1(A) &  (v1_topreal1(B) &  (r1_xxreal_0(2, k3_finseq_1(A)) &  (r1_xxreal_0(2, k3_finseq_1(B)) &  ( ~ (k1_funct_1(A, 1)=k1_funct_1(A, k3_finseq_1(A)))  &  ( ~ (k1_funct_1(B, 1)=k1_funct_1(B, k3_finseq_1(B)))  &  (r1_goboard4(k1_goboard1(A), k1_funct_1(k1_goboard1(A), 1), k1_funct_1(k1_goboard1(A), k3_finseq_1(A))) &  (r1_goboard4(k1_goboard1(B), k1_funct_1(k1_goboard1(A), 1), k1_funct_1(k1_goboard1(A), k3_finseq_1(A))) &  (r1_goboard4(k2_goboard1(A), k1_funct_1(k2_goboard1(B), 1), k1_funct_1(k2_goboard1(B), k3_finseq_1(B))) &  (r1_goboard4(k2_goboard1(B), k1_funct_1(k2_goboard1(B), 1), k1_funct_1(k2_goboard1(B), k3_finseq_1(B))) & r1_xboole_0(k3_topreal1(2, A), k3_topreal1(2, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_jgraph_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(A, C) &  (r1_xxreal_0(C, B) &  (r1_xxreal_0(A, D) & r1_xxreal_0(D, B)) ) )  => r1_xxreal_0(k9_complex1(k6_xcmplx_0(C, D)), k6_xcmplx_0(B, A))) ) ) ) ) ) ) ) ) ).
fof(t28_jgraph_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k14_euclid(A))) =>  ( (D=B & E=C)  => k12_euclid(k5_algstr_0(k15_euclid(A), B, C))=k3_metric_1(k14_euclid(A), D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_jgraph_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => k1_square_1(k12_euclid(A))=k2_xcmplx_0(k1_square_1(k17_euclid(A)), k1_square_1(k18_euclid(A)))) ) ).
fof(t30_jgraph_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => k12_euclid(A)=k3_square_1(k2_xcmplx_0(k1_square_1(k17_euclid(A)), k1_square_1(k18_euclid(A))))) ) ).
fof(t31_jgraph_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => r1_xxreal_0(k12_euclid(A), k2_xcmplx_0(k9_complex1(k17_euclid(A)), k9_complex1(k18_euclid(A))))) ) ).
fof(t32_jgraph_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => r1_xxreal_0(k12_euclid(k5_algstr_0(k15_euclid(2), A, B)), k2_xcmplx_0(k9_complex1(k6_xcmplx_0(k17_euclid(A), k17_euclid(B))), k9_complex1(k6_xcmplx_0(k18_euclid(A), k18_euclid(B)))))) ) ) ) ).
fof(t33_jgraph_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (r1_xxreal_0(k9_complex1(k17_euclid(A)), k12_euclid(A)) & r1_xxreal_0(k9_complex1(k18_euclid(A)), k12_euclid(A))) ) ) ).
fof(t34_jgraph_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r1_xxreal_0(k9_complex1(k6_xcmplx_0(k17_euclid(A), k17_euclid(B))), k12_euclid(k5_algstr_0(k15_euclid(2), A, B))) & r1_xxreal_0(k9_complex1(k6_xcmplx_0(k18_euclid(A), k18_euclid(B))), k12_euclid(k5_algstr_0(k15_euclid(2), A, B)))) ) ) ) ) ).
fof(t36_jgraph_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (r2_tarski(B, k1_rltopsp1(k15_euclid(A), C, D)) =>  (r1_xxreal_0(k12_euclid(k5_algstr_0(k15_euclid(A), B, C)), k12_euclid(k5_algstr_0(k15_euclid(A), C, D))) & r1_xxreal_0(k12_euclid(k5_algstr_0(k15_euclid(A), B, D)), k12_euclid(k5_algstr_0(k15_euclid(A), C, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t37_jgraph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) =>  ( (v2_compts_1(B, k3_pcomps_1(A)) & v2_compts_1(C, k3_pcomps_1(A)))  =>  (B=k1_xboole_0 |  (C=k1_xboole_0 | r1_xxreal_0(k5_numbers, k7_weierstr(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t38_jgraph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) =>  ( (v2_compts_1(B, k3_pcomps_1(A)) & v2_compts_1(C, k3_pcomps_1(A)))  =>  (B=k1_xboole_0 |  (C=k1_xboole_0 |  (r1_xboole_0(B, C) <=>  ~ (r1_xxreal_0(k7_weierstr(A, B, C), k5_numbers)) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_jgraph_1, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( (r1_xxreal_0(1, k3_finseq_1(A)) &  (r1_goboard4(k1_goboard1(A), k1_funct_1(k1_goboard1(A), 1), k1_funct_1(k1_goboard1(A), k3_finseq_1(A))) &  (r1_goboard4(k2_goboard1(A), C, D) &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  ( (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, E) &  (r1_xxreal_0(k1_nat_1(E, 1), k3_finseq_1(A)) & r1_xxreal_0(B, k12_euclid(k5_algstr_0(k15_euclid(2), k7_partfun1(u1_struct_0(k15_euclid(2)), A, E), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(E, 1)))))) ) ) ) )  &  (! [E] :  (m2_finseq_1(E, u1_struct_0(k15_euclid(2))) =>  ~ ( (v1_topreal1(E) &  (k1_funct_1(E, 1)=k1_funct_1(A, 1) &  (k1_funct_1(E, k3_finseq_1(E))=k1_funct_1(A, k3_finseq_1(A)) &  (r1_xxreal_0(k3_finseq_1(A), k3_finseq_1(E)) &  (r1_goboard4(k1_goboard1(E), k1_funct_1(k1_goboard1(A), 1), k1_funct_1(k1_goboard1(A), k3_finseq_1(A))) &  (r1_goboard4(k2_goboard1(E), C, D) &  ( (! [F] :  (v7_ordinal1(F) =>  ~ ( (r2_tarski(F, k4_finseq_1(E)) &  (! [G] :  (v7_ordinal1(G) =>  ~ ( (r2_tarski(G, k4_finseq_1(A)) &  ~ (r1_xxreal_0(B, k12_euclid(k5_algstr_0(k15_euclid(2), k7_partfun1(u1_struct_0(k15_euclid(2)), E, F), k7_partfun1(u1_struct_0(k15_euclid(2)), A, G))))) ) ) ) ) ) ) ) )  &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r1_xxreal_0(1, F) &  (r1_xxreal_0(k1_nat_1(F, 1), k3_finseq_1(E)) & r1_xxreal_0(B, k12_euclid(k5_algstr_0(k15_euclid(2), k7_partfun1(u1_struct_0(k15_euclid(2)), E, F), k7_partfun1(u1_struct_0(k15_euclid(2)), E, k1_nat_1(F, 1)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_jgraph_1, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( (r1_xxreal_0(1, k3_finseq_1(A)) &  (r1_goboard4(k2_goboard1(A), k1_funct_1(k2_goboard1(A), 1), k1_funct_1(k2_goboard1(A), k3_finseq_1(A))) &  (r1_goboard4(k1_goboard1(A), C, D) &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  ( (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, E) &  (r1_xxreal_0(k1_nat_1(E, 1), k3_finseq_1(A)) & r1_xxreal_0(B, k12_euclid(k5_algstr_0(k15_euclid(2), k7_partfun1(u1_struct_0(k15_euclid(2)), A, E), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(E, 1)))))) ) ) ) )  &  (! [E] :  (m2_finseq_1(E, u1_struct_0(k15_euclid(2))) =>  ~ ( (v1_topreal1(E) &  (k1_funct_1(E, 1)=k1_funct_1(A, 1) &  (k1_funct_1(E, k3_finseq_1(E))=k1_funct_1(A, k3_finseq_1(A)) &  (r1_xxreal_0(k3_finseq_1(A), k3_finseq_1(E)) &  (r1_goboard4(k2_goboard1(E), k1_funct_1(k2_goboard1(A), 1), k1_funct_1(k2_goboard1(A), k3_finseq_1(A))) &  (r1_goboard4(k1_goboard1(E), C, D) &  ( (! [F] :  (v7_ordinal1(F) =>  ~ ( (r2_tarski(F, k4_finseq_1(E)) &  (! [G] :  (v7_ordinal1(G) =>  ~ ( (r2_tarski(G, k4_finseq_1(A)) &  ~ (r1_xxreal_0(B, k12_euclid(k5_algstr_0(k15_euclid(2), k7_partfun1(u1_struct_0(k15_euclid(2)), E, F), k7_partfun1(u1_struct_0(k15_euclid(2)), A, G))))) ) ) ) ) ) ) ) )  &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r1_xxreal_0(1, F) &  (r1_xxreal_0(k1_nat_1(F, 1), k3_finseq_1(E)) & r1_xxreal_0(B, k12_euclid(k5_algstr_0(k15_euclid(2), k7_partfun1(u1_struct_0(k15_euclid(2)), E, F), k7_partfun1(u1_struct_0(k15_euclid(2)), E, k1_nat_1(F, 1)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_jgraph_1, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (r1_xxreal_0(1, k3_finseq_1(A)) =>  (k3_finseq_1(k1_goboard1(A))=k3_finseq_1(A) &  (k1_funct_1(k1_goboard1(A), 1)=k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1)) & k1_funct_1(k1_goboard1(A), k3_finseq_1(A))=k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A)))) ) ) ) ) ).
fof(t42_jgraph_1, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (r1_xxreal_0(1, k3_finseq_1(A)) =>  (k3_finseq_1(k2_goboard1(A))=k3_finseq_1(A) &  (k1_funct_1(k2_goboard1(A), 1)=k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1)) & k1_funct_1(k2_goboard1(A), k3_finseq_1(A))=k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A)))) ) ) ) ) ).
fof(t43_jgraph_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(A, k4_finseq_1(B)) =>  (k1_funct_1(k1_goboard1(B), A)=k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), B, A)) & k1_funct_1(k2_goboard1(B), A)=k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), B, A))) ) ) ) ) ) ).
fof(t44_jgraph_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_topreal1(k15_euclid(2), C, D, A) &  (r1_topreal1(k15_euclid(2), E, F, B) &  ( (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(G, A) =>  (r1_xxreal_0(k17_euclid(C), k17_euclid(G)) & r1_xxreal_0(k17_euclid(G), k17_euclid(D))) ) ) )  &  ( (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(G, B) =>  (r1_xxreal_0(k17_euclid(C), k17_euclid(G)) & r1_xxreal_0(k17_euclid(G), k17_euclid(D))) ) ) )  &  ( (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(G, A) =>  (r1_xxreal_0(k18_euclid(E), k18_euclid(G)) & r1_xxreal_0(k18_euclid(G), k18_euclid(F))) ) ) )  &  ( (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(G, B) =>  (r1_xxreal_0(k18_euclid(E), k18_euclid(G)) & r1_xxreal_0(k18_euclid(G), k18_euclid(F))) ) ) )  & r2_subset_1(A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_jgraph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(k1_pre_topc(B, D))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_pre_topc(B, D)))))) )  =>  ( (r1_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(A), u1_struct_0(k1_pre_topc(B, D)), C, E) & v5_pre_topc(C, A, B))  => v5_pre_topc(E, A, k1_pre_topc(B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_jgraph_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))))  =>  ~ ( (v1_compts_1(A) &  (v8_pre_topc(B) &  (v5_pre_topc(C, A, B) &  (v2_funct_1(C) &  (D=k2_relset_1(u1_struct_0(B), C) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(k1_pre_topc(B, D))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_pre_topc(B, D)))))) )  =>  ~ ( (r1_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(A), u1_struct_0(k1_pre_topc(B, D)), C, E) & v3_tops_2(E, A, k1_pre_topc(B, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_jgraph_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_topmetr)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k5_topmetr)) =>  ~ ( (G=k5_numbers &  (H=1 &  (v5_pre_topc(A, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(A) &  (v5_pre_topc(B, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(B) &  (k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, G))=C &  (k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, H))=D &  (k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, G))=E &  (k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, H))=F &  ( (! [I] :  (m1_subset_1(I, u1_struct_0(k5_topmetr)) =>  (r1_xxreal_0(C, k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, I))) &  (r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, I)), D) &  (r1_xxreal_0(C, k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, I))) &  (r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, I)), D) &  (r1_xxreal_0(E, k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, I))) &  (r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, I)), F) &  (r1_xxreal_0(E, k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, I))) & r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, I)), F)) ) ) ) ) ) ) ) )  & r2_subset_1(k2_relset_1(u1_struct_0(k15_euclid(2)), A), k2_relset_1(u1_struct_0(k15_euclid(2)), B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_jgraph_1, axiom,  (! [A] : l1_graph_1(k1_jgraph_1(A))) ).
fof(dt_k2_jgraph_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(k2_jgraph_1(A)) &  (v1_funct_1(k2_jgraph_1(A)) & v1_finseq_1(k2_jgraph_1(A))) ) ) ) ).
fof(dt_k3_jgraph_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(B, A))  => m2_finseq_1(k3_jgraph_1(A, B), u4_struct_0(k1_jgraph_1(A)))) ) ).
fof(redefinition_k3_jgraph_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(B, A))  => k3_jgraph_1(A, B)=k2_jgraph_1(B)) ) ).
fof(dt_k4_jgraph_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(B, A))  =>  (v7_graph_1(k4_jgraph_1(A, B), k1_jgraph_1(A)) & m2_graph_1(k4_jgraph_1(A, B), k1_jgraph_1(A))) ) ) ).
fof(redefinition_k4_jgraph_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(B, A))  => k4_jgraph_1(A, B)=k2_jgraph_1(B)) ) ).
fof(fc1_jgraph_2, axiom,  (! [A, B, C, D] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v1_xreal_0(C) & v1_xreal_0(D)) ) )  =>  (v1_funct_1(k2_jgraph_2(A, B, C, D)) &  (v1_funct_2(k2_jgraph_2(A, B, C, D), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & v5_pre_topc(k2_jgraph_2(A, B, C, D), k15_euclid(2), k15_euclid(2))) ) ) ) ).
fof(t1_jgraph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_pre_topc(C) & l1_pre_topc(C)) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v2_pre_topc(D) & l1_pre_topc(D)) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(D))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(C), u1_struct_0(D)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D))))) )  =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(A))) =>  (! [H] :  (m1_subset_1(H, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (m1_pre_topc(B, A) &  (m1_pre_topc(C, A) &  (G=k2_struct_0(B) &  (H=k2_struct_0(C) &  (k2_xboole_0(k2_struct_0(B), k2_struct_0(C))=k2_struct_0(A) &  (v4_pre_topc(G, A) &  (v4_pre_topc(H, A) &  (v5_pre_topc(E, B, D) &  (v5_pre_topc(F, C, D) &  ( (! [I] :  (r2_hidden(I, k9_subset_1(u1_struct_0(C), k2_struct_0(B), k2_struct_0(C))) => k1_funct_1(E, I)=k1_funct_1(F, I)) )  &  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(A), u1_struct_0(D)) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(D))))) )  =>  ~ ( (I=k1_funct_4(E, F) & v5_pre_topc(I, A, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_jgraph_2, axiom,  (k17_euclid(k4_struct_0(k15_euclid(2)))=k5_numbers & k18_euclid(k4_struct_0(k15_euclid(2)))=k5_numbers) ).
fof(t4_jgraph_2, axiom, k22_euclid(2)=k10_finseq_1(1, 1)).
fof(t5_jgraph_2, axiom,  (k17_euclid(k22_euclid(2))=1 & k18_euclid(k22_euclid(2))=1) ).
fof(t6_jgraph_2, axiom,  (k1_relset_1(u1_struct_0(k15_euclid(2)), k4_pscomp_1)=u1_struct_0(k15_euclid(2)) & k1_relset_1(u1_struct_0(k15_euclid(2)), k4_pscomp_1)=k1_euclid(2)) ).
fof(t7_jgraph_2, axiom,  (k1_relset_1(u1_struct_0(k15_euclid(2)), k5_pscomp_1)=u1_struct_0(k15_euclid(2)) & k1_relset_1(u1_struct_0(k15_euclid(2)), k5_pscomp_1)=k1_euclid(2)) ).
fof(t8_jgraph_2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => A=k19_euclid(k3_funct_2(u1_struct_0(k15_euclid(2)), k1_numbers, k4_pscomp_1, A), k3_funct_2(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, A))) ) ).
fof(t9_jgraph_2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (A=k6_domain_1(u1_struct_0(k15_euclid(2)), k4_struct_0(k15_euclid(2))) =>  ( ~ (k3_subset_1(u1_struct_0(k15_euclid(2)), A)=k1_xboole_0)  &  ~ (k6_subset_1(u1_struct_0(k15_euclid(2)), A)=k1_xboole_0) ) ) ) ) ).
fof(t10_jgraph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v5_pre_topc(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) =>  ~ ( (r2_tarski(k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D), E) &  (v3_pre_topc(E, B) &  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_tarski(D, F) &  (v3_pre_topc(F, A) & r1_tarski(k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, F), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_jgraph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_pre_topc(C) & l1_pre_topc(C)) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(C))) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(k1_pre_topc(B, D)), u1_struct_0(k1_pre_topc(C, E))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(B, D)), u1_struct_0(k1_pre_topc(C, E)))))) )  =>  ~ ( (v5_pre_topc(F, A, B) &  (v5_pre_topc(G, k1_pre_topc(B, D), k1_pre_topc(C, E)) &  (r1_tarski(k2_relset_1(u1_struct_0(B), F), D) &  ( ~ (D=k1_xboole_0)  &  ( ~ (E=k1_xboole_0)  &  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(A), u1_struct_0(C)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C))))) )  =>  ~ ( (v5_pre_topc(H, A, C) & H=k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(k1_pre_topc(B, D)), u1_struct_0(k1_pre_topc(C, E)), F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_jgraph_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k8_struct_0(k15_euclid(2)), k8_struct_0(k15_euclid(2))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k8_struct_0(k15_euclid(2)), k8_struct_0(k15_euclid(2)))))) )  =>  (A=k1_jgraph_2 <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( ~ (B=k4_struct_0(k15_euclid(2)))  =>  ( ( ( (r1_xxreal_0(k18_euclid(B), k17_euclid(B)) & r1_xxreal_0(k4_xcmplx_0(k17_euclid(B)), k18_euclid(B)))  |  (r1_xxreal_0(k17_euclid(B), k18_euclid(B)) & r1_xxreal_0(k18_euclid(B), k4_xcmplx_0(k17_euclid(B)))) )  => k1_funct_1(A, B)=k19_euclid(k7_xcmplx_0(1, k17_euclid(B)), k7_xcmplx_0(k7_xcmplx_0(k18_euclid(B), k17_euclid(B)), k17_euclid(B))))  &  ~ ( ( ~ ( (r1_xxreal_0(k18_euclid(B), k17_euclid(B)) & r1_xxreal_0(k4_xcmplx_0(k17_euclid(B)), k18_euclid(B))) )  &  ( ~ ( (r1_xxreal_0(k17_euclid(B), k18_euclid(B)) & r1_xxreal_0(k18_euclid(B), k4_xcmplx_0(k17_euclid(B)))) )  &  ~ (k1_funct_1(A, B)=k19_euclid(k7_xcmplx_0(k7_xcmplx_0(k17_euclid(B), k18_euclid(B)), k18_euclid(B)), k7_xcmplx_0(1, k18_euclid(B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_jgraph_2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ ( (r1_xxreal_0(k18_euclid(A), k17_euclid(A)) & r1_xxreal_0(k4_xcmplx_0(k17_euclid(A)), k18_euclid(A))) )  &  ( ~ ( (r1_xxreal_0(k17_euclid(A), k18_euclid(A)) & r1_xxreal_0(k18_euclid(A), k4_xcmplx_0(k17_euclid(A)))) )  &  ( ~ ( (r1_xxreal_0(k17_euclid(A), k18_euclid(A)) & r1_xxreal_0(k4_xcmplx_0(k18_euclid(A)), k17_euclid(A))) )  &  ~ ( (r1_xxreal_0(k18_euclid(A), k17_euclid(A)) & r1_xxreal_0(k17_euclid(A), k4_xcmplx_0(k18_euclid(A)))) ) ) ) ) ) ) ) ).
fof(t14_jgraph_2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  ( ~ (A=k4_struct_0(k15_euclid(2)))  =>  ( ( ( (r1_xxreal_0(k17_euclid(A), k18_euclid(A)) & r1_xxreal_0(k4_xcmplx_0(k18_euclid(A)), k17_euclid(A)))  |  (r1_xxreal_0(k18_euclid(A), k17_euclid(A)) & r1_xxreal_0(k17_euclid(A), k4_xcmplx_0(k18_euclid(A)))) )  => k1_funct_1(k1_jgraph_2, A)=k19_euclid(k7_xcmplx_0(k7_xcmplx_0(k17_euclid(A), k18_euclid(A)), k18_euclid(A)), k7_xcmplx_0(1, k18_euclid(A))))  &  ~ ( ( ~ ( (r1_xxreal_0(k17_euclid(A), k18_euclid(A)) & r1_xxreal_0(k4_xcmplx_0(k18_euclid(A)), k17_euclid(A))) )  &  ( ~ ( (r1_xxreal_0(k18_euclid(A), k17_euclid(A)) & r1_xxreal_0(k17_euclid(A), k4_xcmplx_0(k18_euclid(A)))) )  &  ~ (k1_funct_1(k1_jgraph_2, A)=k19_euclid(k7_xcmplx_0(1, k17_euclid(A)), k7_xcmplx_0(k7_xcmplx_0(k18_euclid(A), k17_euclid(A)), k17_euclid(A)))) ) ) ) ) ) ) ) ).
fof(t19_jgraph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( (v5_pre_topc(B, A, k3_topmetr) &  (v5_pre_topc(C, A, k3_topmetr) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ( (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), B, E)=F & k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), C, E)=G)  => k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), D, E)=k2_xcmplx_0(F, G)) ) ) ) ) ) )  & v5_pre_topc(D, A, k3_topmetr)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_jgraph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (v1_xreal_0(B) =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), C, D)=B) )  & v5_pre_topc(C, A, k3_topmetr)) ) ) ) ) ) ) ).
fof(t21_jgraph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( (v5_pre_topc(B, A, k3_topmetr) &  (v5_pre_topc(C, A, k3_topmetr) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ( (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), B, E)=F & k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), C, E)=G)  => k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), D, E)=k6_xcmplx_0(F, G)) ) ) ) ) ) )  & v5_pre_topc(D, A, k3_topmetr)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_jgraph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( (v5_pre_topc(B, A, k3_topmetr) &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xreal_0(E) =>  (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), B, D)=E => k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), C, D)=k3_xcmplx_0(E, E)) ) ) ) )  & v5_pre_topc(C, A, k3_topmetr)) ) ) ) ) ) ) ) ) ) ).
fof(t23_jgraph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( (v5_pre_topc(B, A, k3_topmetr) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (v1_xreal_0(F) =>  (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), B, E)=F => k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), D, E)=k3_xcmplx_0(C, F)) ) ) ) )  & v5_pre_topc(D, A, k3_topmetr)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_jgraph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( (v5_pre_topc(B, A, k3_topmetr) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (v1_xreal_0(F) =>  (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), B, E)=F => k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), D, E)=k2_xcmplx_0(F, C)) ) ) ) )  & v5_pre_topc(D, A, k3_topmetr)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_jgraph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( (v5_pre_topc(B, A, k3_topmetr) &  (v5_pre_topc(C, A, k3_topmetr) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ( (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), B, E)=F & k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), C, E)=G)  => k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), D, E)=k3_xcmplx_0(F, G)) ) ) ) ) ) )  & v5_pre_topc(D, A, k3_topmetr)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_jgraph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( (v5_pre_topc(B, A, k3_topmetr) &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), B, C)=k5_numbers) ) )  &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xreal_0(E) =>  (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), B, D)=E => k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), C, D)=k7_xcmplx_0(1, E)) ) ) ) )  & v5_pre_topc(C, A, k3_topmetr)) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_jgraph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( (v5_pre_topc(B, A, k3_topmetr) &  (v5_pre_topc(C, A, k3_topmetr) &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), C, D)=k5_numbers) ) )  &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ( (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), B, E)=F & k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), C, E)=G)  => k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), D, E)=k7_xcmplx_0(F, G)) ) ) ) ) ) )  & v5_pre_topc(D, A, k3_topmetr)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_jgraph_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( (v5_pre_topc(B, A, k3_topmetr) &  (v5_pre_topc(C, A, k3_topmetr) &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), C, D)=k5_numbers) ) )  &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ( (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), B, E)=F & k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), C, E)=G)  => k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), D, E)=k7_xcmplx_0(k7_xcmplx_0(F, G), G)) ) ) ) ) ) )  & v5_pre_topc(D, A, k3_topmetr)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_jgraph_2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k3_topmetr))))) )  =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k1_pre_topc(k15_euclid(2), A))) => k1_funct_1(B, C)=k1_funct_1(k4_pscomp_1, C)) )  => v5_pre_topc(B, k1_pre_topc(k15_euclid(2), A), k3_topmetr)) ) ) ) ) ).
fof(t30_jgraph_2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k3_topmetr))))) )  =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k1_pre_topc(k15_euclid(2), A))) => k1_funct_1(B, C)=k1_funct_1(k5_pscomp_1, C)) )  => v5_pre_topc(B, k1_pre_topc(k15_euclid(2), A), k3_topmetr)) ) ) ) ) ).
fof(t31_jgraph_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k3_topmetr))))) )  =>  ( ( (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(C, u1_struct_0(k1_pre_topc(k15_euclid(2), A))) => k1_funct_1(B, C)=k7_xcmplx_0(1, k17_euclid(C))) ) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(C, u1_struct_0(k1_pre_topc(k15_euclid(2), A))) & k17_euclid(C)=k5_numbers) ) ) ) )  => v5_pre_topc(B, k1_pre_topc(k15_euclid(2), A), k3_topmetr)) ) ) ) ) ).
fof(t32_jgraph_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k3_topmetr))))) )  =>  ( ( (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(C, u1_struct_0(k1_pre_topc(k15_euclid(2), A))) => k1_funct_1(B, C)=k7_xcmplx_0(1, k18_euclid(C))) ) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(C, u1_struct_0(k1_pre_topc(k15_euclid(2), A))) & k18_euclid(C)=k5_numbers) ) ) ) )  => v5_pre_topc(B, k1_pre_topc(k15_euclid(2), A), k3_topmetr)) ) ) ) ) ).
fof(t33_jgraph_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k3_topmetr))))) )  =>  ( ( (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(C, u1_struct_0(k1_pre_topc(k15_euclid(2), A))) => k1_funct_1(B, C)=k7_xcmplx_0(k7_xcmplx_0(k18_euclid(C), k17_euclid(C)), k17_euclid(C))) ) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(C, u1_struct_0(k1_pre_topc(k15_euclid(2), A))) & k17_euclid(C)=k5_numbers) ) ) ) )  => v5_pre_topc(B, k1_pre_topc(k15_euclid(2), A), k3_topmetr)) ) ) ) ) ).
fof(t34_jgraph_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k3_topmetr))))) )  =>  ( ( (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(C, u1_struct_0(k1_pre_topc(k15_euclid(2), A))) => k1_funct_1(B, C)=k7_xcmplx_0(k7_xcmplx_0(k17_euclid(C), k18_euclid(C)), k18_euclid(C))) ) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(C, u1_struct_0(k1_pre_topc(k15_euclid(2), A))) & k18_euclid(C)=k5_numbers) ) ) ) )  => v5_pre_topc(B, k1_pre_topc(k15_euclid(2), A), k3_topmetr)) ) ) ) ) ).
fof(t35_jgraph_2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k1_pre_topc(k15_euclid(2), B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k1_pre_topc(k15_euclid(2), B)))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k3_topmetr)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k3_topmetr))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k3_topmetr)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k3_topmetr))))) )  =>  ( (v5_pre_topc(D, k1_pre_topc(k15_euclid(2), A), k3_topmetr) &  (v5_pre_topc(E, k1_pre_topc(k15_euclid(2), A), k3_topmetr) &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  ( (r2_tarski(k19_euclid(F, G), A) &  (H=k1_funct_1(D, k19_euclid(F, G)) & I=k1_funct_1(E, k19_euclid(F, G))) )  => k1_funct_1(C, k19_euclid(F, G))=k19_euclid(H, I)) ) ) ) ) ) ) ) ) ) )  =>  (A=k1_xboole_0 |  (B=k1_xboole_0 | v5_pre_topc(C, k1_pre_topc(k15_euclid(2), A), k1_pre_topc(k15_euclid(2), B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_jgraph_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ ( (k3_subset_1(u1_struct_0(k15_euclid(2)), A)=k6_domain_1(u1_struct_0(k15_euclid(2)), k4_struct_0(k15_euclid(2))) &  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k1_pre_topc(k15_euclid(2), A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k1_pre_topc(k15_euclid(2), A)))))) )  =>  ~ ( (B=k1_jgraph_2 & v5_pre_topc(B, k1_pre_topc(k15_euclid(2), A), k1_pre_topc(k15_euclid(2), A))) ) ) ) ) ) ) ) ).
fof(t43_jgraph_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  ( (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) => k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), E, F)=k19_euclid(k2_xcmplx_0(k3_xcmplx_0(A, k17_euclid(F)), B), k2_xcmplx_0(k3_xcmplx_0(C, k18_euclid(F)), D))) )  => v5_pre_topc(E, k15_euclid(2), k15_euclid(2))) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_jgraph_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  (E=k2_jgraph_2(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) => k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), E, F)=k19_euclid(k2_xcmplx_0(k3_xcmplx_0(A, k17_euclid(F)), B), k2_xcmplx_0(k3_xcmplx_0(C, k18_euclid(F)), D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_jgraph_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  ~ (v2_funct_1(k2_jgraph_2(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_jgraph_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_topmetr)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k5_topmetr)) =>  ~ ( (G=k5_numbers &  (H=1 &  (v5_pre_topc(A, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(A) &  (v5_pre_topc(B, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(B) &  (k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, G))=C &  (k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, H))=D &  (r1_xxreal_0(E, k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, G))) &  (r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, G)), F) &  (r1_xxreal_0(E, k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, H))) &  (r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, H)), F) &  (k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, G))=E &  (k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, H))=F &  (r1_xxreal_0(C, k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, G))) &  (r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, G)), D) &  (r1_xxreal_0(C, k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, H))) &  (r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, H)), D) &  ( ~ (r1_xxreal_0(D, C))  &  ( ~ (r1_xxreal_0(F, E))  &  ( (! [I] :  (m1_subset_1(I, u1_struct_0(k5_topmetr)) =>  ~ ( ( ~ (r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, I)), C))  &  ( ~ (r1_xxreal_0(D, k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, I))))  &  ( ~ (r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, I)), E))  &  ~ (r1_xxreal_0(F, k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, I)))) ) ) ) ) ) )  &  ( (! [I] :  (m1_subset_1(I, u1_struct_0(k5_topmetr)) =>  ~ ( ( ~ (r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, I)), C))  &  ( ~ (r1_xxreal_0(D, k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, I))))  &  ( ~ (r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, I)), E))  &  ~ (r1_xxreal_0(F, k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, I)))) ) ) ) ) ) )  & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), A), k2_relset_1(u1_struct_0(k15_euclid(2)), B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_jgraph_2, axiom,  (v1_funct_1(k1_jgraph_2) &  (v1_funct_2(k1_jgraph_2, k8_struct_0(k15_euclid(2)), k8_struct_0(k15_euclid(2))) & m1_subset_1(k1_jgraph_2, k1_zfmisc_1(k2_zfmisc_1(k8_struct_0(k15_euclid(2)), k8_struct_0(k15_euclid(2)))))) ) ).
fof(dt_f1_s2_jgraph_2, axiom, m1_subset_1(f1_s2_jgraph_2, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))).
fof(dt_f1_s3_jgraph_2, axiom,  (! [A] : v1_xreal_0(f1_s3_jgraph_2(A))) ).
fof(dt_f2_s3_jgraph_2, axiom,  (! [A] : v1_xreal_0(f2_s3_jgraph_2(A))) ).
fof(dt_k2_jgraph_2, axiom,  (! [A, B, C, D] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v1_xreal_0(C) & v1_xreal_0(D)) ) )  =>  (v1_funct_1(k2_jgraph_2(A, B, C, D)) &  (v1_funct_2(k2_jgraph_2(A, B, C, D), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(k2_jgraph_2(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) ) ) ) ).
fof(t2_jgraph_2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k14_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (v1_xreal_0(D) =>  (C=B => k8_metric_1(k14_euclid(A), B, D)=a_3_0_jgraph_2(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t11_jgraph_2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( (v3_pre_topc(B, k15_euclid(2)) &  (r2_tarski(A, B) &  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  & r1_tarski(a_2_0_jgraph_2(A, C), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_jgraph_2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)))) =>  (B=a_0_0_jgraph_2 => r1_tarski(k2_relset_1(k8_struct_0(k15_euclid(2)), k2_partfun1(k8_struct_0(k15_euclid(2)), k8_struct_0(k15_euclid(2)), k1_jgraph_2, B)), u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2), A), B)))) ) ) ) ) ).
fof(t16_jgraph_2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)))) =>  (B=a_0_1_jgraph_2 => r1_tarski(k2_relset_1(k8_struct_0(k15_euclid(2)), k2_partfun1(k8_struct_0(k15_euclid(2)), k8_struct_0(k15_euclid(2)), k1_jgraph_2, B)), u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2), A), B)))) ) ) ) ) ).
fof(t17_jgraph_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ( (A=a_0_0_jgraph_2 & k3_subset_1(u1_struct_0(k15_euclid(2)), B)=k6_domain_1(u1_struct_0(k15_euclid(2)), k4_struct_0(k15_euclid(2))))  =>  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)))))  &  ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) ) ) ) ).
fof(t18_jgraph_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ( (A=a_0_1_jgraph_2 & k3_subset_1(u1_struct_0(k15_euclid(2)), B)=k6_domain_1(u1_struct_0(k15_euclid(2)), k4_struct_0(k15_euclid(2))))  =>  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)))))  &  ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) ) ) ) ).
fof(t36_jgraph_2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k1_pre_topc(k15_euclid(2), B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k1_pre_topc(k15_euclid(2), B)))))) )  =>  ( (C=k2_partfun1(k8_struct_0(k15_euclid(2)), k8_struct_0(k15_euclid(2)), k1_jgraph_2, A) &  (B=k8_struct_0(k15_euclid(2)) & A=a_0_0_jgraph_2) )  => v5_pre_topc(C, k1_pre_topc(k15_euclid(2), A), k1_pre_topc(k15_euclid(2), B))) ) ) ) ) ) ) ).
fof(t37_jgraph_2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k1_pre_topc(k15_euclid(2), B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k1_pre_topc(k15_euclid(2), B)))))) )  =>  ( (C=k2_partfun1(k8_struct_0(k15_euclid(2)), k8_struct_0(k15_euclid(2)), k1_jgraph_2, A) &  (B=k8_struct_0(k15_euclid(2)) & A=a_0_1_jgraph_2) )  => v5_pre_topc(C, k1_pre_topc(k15_euclid(2), A), k1_pre_topc(k15_euclid(2), B))) ) ) ) ) ) ) ).
fof(t38_jgraph_2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2), A), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2), A), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), A)))))) )  =>  ( (C=k2_partfun1(k8_struct_0(k15_euclid(2)), k8_struct_0(k15_euclid(2)), k1_jgraph_2, B) &  (A=k8_struct_0(k15_euclid(2)) & B=a_0_0_jgraph_2) )  =>  (v5_pre_topc(C, k1_pre_topc(k1_pre_topc(k15_euclid(2), A), B), k1_pre_topc(k15_euclid(2), A)) & v4_pre_topc(B, k1_pre_topc(k15_euclid(2), A))) ) ) ) ) ) ) ) ).
fof(t39_jgraph_2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2), A), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2), A), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), A)))))) )  =>  ( (C=k2_partfun1(k8_struct_0(k15_euclid(2)), k8_struct_0(k15_euclid(2)), k1_jgraph_2, B) &  (A=k8_struct_0(k15_euclid(2)) & B=a_0_1_jgraph_2) )  =>  (v5_pre_topc(C, k1_pre_topc(k1_pre_topc(k15_euclid(2), A), B), k1_pre_topc(k15_euclid(2), A)) & v4_pre_topc(B, k1_pre_topc(k15_euclid(2), A))) ) ) ) ) ) ) ) ).
fof(t41_jgraph_2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( (A=k6_domain_1(u1_struct_0(k15_euclid(2)), k4_struct_0(k15_euclid(2))) &  (B=a_0_2_jgraph_2 &  (C=a_0_3_jgraph_2 &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), A))), u1_struct_0(k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), A)))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), A))), u1_struct_0(k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), A))))))) )  =>  ~ ( (v5_pre_topc(D, k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), A)), k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), A))) &  (v2_funct_1(D) &  ( (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(E, B) &  ( ~ (E=k4_struct_0(k15_euclid(2)))  & r2_tarski(k1_funct_1(D, E), k4_subset_1(u1_struct_0(k15_euclid(2)), B, C))) ) ) ) )  &  ( (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ( ~ (r2_tarski(E, k4_subset_1(u1_struct_0(k15_euclid(2)), B, C)))  => r2_tarski(k1_funct_1(D, E), B)) ) )  &  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(E, C) => k1_funct_1(D, E)=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_jgraph_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_topmetr)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_topmetr)) =>  ~ ( (D=k5_numbers &  (E=1 &  (v5_pre_topc(A, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(A) &  (v5_pre_topc(B, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(B) &  (C=a_0_2_jgraph_2 &  (k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, D))=k4_xcmplx_0(1) &  (k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, E))=1 &  (r1_xxreal_0(k4_xcmplx_0(1), k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, D))) &  (r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, D)), 1) &  (r1_xxreal_0(k4_xcmplx_0(1), k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, E))) &  (r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, E)), 1) &  (k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, D))=k4_xcmplx_0(1) &  (k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, E))=1 &  (r1_xxreal_0(k4_xcmplx_0(1), k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, D))) &  (r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, D)), 1) &  (r1_xxreal_0(k4_xcmplx_0(1), k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, E))) &  (r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, E)), 1) &  (r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), A), C) &  (r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), B), C) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), A), k2_relset_1(u1_struct_0(k15_euclid(2)), B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_jgraph_2, axiom,  ( (v4_pre_topc(a_0_4_jgraph_2, k15_euclid(2)) & m1_subset_1(a_0_4_jgraph_2, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  &  (v4_pre_topc(a_0_5_jgraph_2, k15_euclid(2)) & m1_subset_1(a_0_5_jgraph_2, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(t47_jgraph_2, axiom,  ( (v4_pre_topc(a_0_6_jgraph_2, k15_euclid(2)) & m1_subset_1(a_0_6_jgraph_2, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  &  (v4_pre_topc(a_0_7_jgraph_2, k15_euclid(2)) & m1_subset_1(a_0_7_jgraph_2, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(t48_jgraph_2, axiom,  ( (v4_pre_topc(a_0_8_jgraph_2, k15_euclid(2)) & m1_subset_1(a_0_8_jgraph_2, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  &  (v4_pre_topc(a_0_9_jgraph_2, k15_euclid(2)) & m1_subset_1(a_0_9_jgraph_2, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(s1_jgraph_2, axiom, m1_subset_1(a_0_10_jgraph_2, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))).
fof(s2_jgraph_2, axiom,  (f1_s2_jgraph_2=a_0_11_jgraph_2 => k3_subset_1(u1_struct_0(k15_euclid(2)), f1_s2_jgraph_2)=a_0_12_jgraph_2) ).
fof(s3_jgraph_2, axiom,  ( ( (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (f1_s3_jgraph_2(k5_algstr_0(k15_euclid(2), A, B))=k6_xcmplx_0(f1_s3_jgraph_2(A), f1_s3_jgraph_2(B)) & f2_s3_jgraph_2(k5_algstr_0(k15_euclid(2), A, B))=k6_xcmplx_0(f2_s3_jgraph_2(A), f2_s3_jgraph_2(B))) ) ) ) )  &  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => k1_square_1(k12_euclid(k5_algstr_0(k15_euclid(2), A, B)))=k2_xcmplx_0(k1_square_1(f1_s3_jgraph_2(k5_algstr_0(k15_euclid(2), A, B))), k1_square_1(f2_s3_jgraph_2(k5_algstr_0(k15_euclid(2), A, B))))) ) ) ) )  =>  (v4_pre_topc(a_0_13_jgraph_2, k15_euclid(2)) & m1_subset_1(a_0_13_jgraph_2, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(fraenkel_a_3_0_jgraph_2, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(B, k4_ordinal1) &  (m1_subset_1(C, u1_struct_0(k15_euclid(B))) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_0_jgraph_2(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(B))) &  (A=E &  ~ (r1_xxreal_0(D, k12_euclid(k5_algstr_0(k15_euclid(B), C, E)))) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_jgraph_2, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, u1_struct_0(k15_euclid(2))) & v1_xreal_0(C))  =>  (r2_hidden(A, a_2_0_jgraph_2(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) &  (A=D &  ( ~ (r1_xxreal_0(k17_euclid(D), k6_xcmplx_0(k17_euclid(B), C)))  &  ( ~ (r1_xxreal_0(k2_xcmplx_0(k17_euclid(B), C), k17_euclid(D)))  &  ( ~ (r1_xxreal_0(k18_euclid(D), k6_xcmplx_0(k18_euclid(B), C)))  &  ~ (r1_xxreal_0(k2_xcmplx_0(k18_euclid(B), C), k18_euclid(D))) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_0_0_jgraph_2, axiom,  (! [A] :  (r2_hidden(A, a_0_0_jgraph_2) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B &  ( ( (r1_xxreal_0(k18_euclid(B), k17_euclid(B)) & r1_xxreal_0(k4_xcmplx_0(k17_euclid(B)), k18_euclid(B)))  |  (r1_xxreal_0(k17_euclid(B), k18_euclid(B)) & r1_xxreal_0(k18_euclid(B), k4_xcmplx_0(k17_euclid(B)))) )  &  ~ (B=k4_struct_0(k15_euclid(2))) ) ) ) ) ) ) ).
fof(fraenkel_a_0_1_jgraph_2, axiom,  (! [A] :  (r2_hidden(A, a_0_1_jgraph_2) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B &  ( ( (r1_xxreal_0(k17_euclid(B), k18_euclid(B)) & r1_xxreal_0(k4_xcmplx_0(k18_euclid(B)), k17_euclid(B)))  |  (r1_xxreal_0(k18_euclid(B), k17_euclid(B)) & r1_xxreal_0(k17_euclid(B), k4_xcmplx_0(k18_euclid(B)))) )  &  ~ (B=k4_struct_0(k15_euclid(2))) ) ) ) ) ) ) ).
fof(fraenkel_a_0_2_jgraph_2, axiom,  (! [A] :  (r2_hidden(A, a_0_2_jgraph_2) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B &  ( ~ (r1_xxreal_0(k17_euclid(B), k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, k17_euclid(B)))  &  ( ~ (r1_xxreal_0(k18_euclid(B), k4_xcmplx_0(1)))  &  ~ (r1_xxreal_0(1, k18_euclid(B))) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_0_3_jgraph_2, axiom,  (! [A] :  (r2_hidden(A, a_0_3_jgraph_2) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B &  ~ ( ( ~ ( (k4_xcmplx_0(1)=k17_euclid(B) &  (r1_xxreal_0(k4_xcmplx_0(1), k18_euclid(B)) & r1_xxreal_0(k18_euclid(B), 1)) ) )  &  ( ~ ( (k17_euclid(B)=1 &  (r1_xxreal_0(k4_xcmplx_0(1), k18_euclid(B)) & r1_xxreal_0(k18_euclid(B), 1)) ) )  &  ( ~ ( (k4_xcmplx_0(1)=k18_euclid(B) &  (r1_xxreal_0(k4_xcmplx_0(1), k17_euclid(B)) & r1_xxreal_0(k17_euclid(B), 1)) ) )  &  ~ ( (1=k18_euclid(B) &  (r1_xxreal_0(k4_xcmplx_0(1), k17_euclid(B)) & r1_xxreal_0(k17_euclid(B), 1)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_0_4_jgraph_2, axiom,  (! [A] :  (r2_hidden(A, a_0_4_jgraph_2) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B & r1_xxreal_0(k18_euclid(B), k17_euclid(B))) ) ) ) ) ).
fof(fraenkel_a_0_5_jgraph_2, axiom,  (! [A] :  (r2_hidden(A, a_0_5_jgraph_2) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B & r1_xxreal_0(k17_euclid(B), k18_euclid(B))) ) ) ) ) ).
fof(fraenkel_a_0_6_jgraph_2, axiom,  (! [A] :  (r2_hidden(A, a_0_6_jgraph_2) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B & r1_xxreal_0(k4_xcmplx_0(k17_euclid(B)), k18_euclid(B))) ) ) ) ) ).
fof(fraenkel_a_0_7_jgraph_2, axiom,  (! [A] :  (r2_hidden(A, a_0_7_jgraph_2) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B & r1_xxreal_0(k18_euclid(B), k4_xcmplx_0(k17_euclid(B)))) ) ) ) ) ).
fof(fraenkel_a_0_8_jgraph_2, axiom,  (! [A] :  (r2_hidden(A, a_0_8_jgraph_2) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B & r1_xxreal_0(k4_xcmplx_0(k18_euclid(B)), k17_euclid(B))) ) ) ) ) ).
fof(fraenkel_a_0_9_jgraph_2, axiom,  (! [A] :  (r2_hidden(A, a_0_9_jgraph_2) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B & r1_xxreal_0(k17_euclid(B), k4_xcmplx_0(k18_euclid(B)))) ) ) ) ) ).
fof(fraenkel_a_0_10_jgraph_2, axiom,  (! [A] :  (r2_hidden(A, a_0_10_jgraph_2) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B & p1_s1_jgraph_2(B)) ) ) ) ) ).
fof(fraenkel_a_0_11_jgraph_2, axiom,  (! [A] :  (r2_hidden(A, a_0_11_jgraph_2) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B & p1_s2_jgraph_2(B)) ) ) ) ) ).
fof(fraenkel_a_0_12_jgraph_2, axiom,  (! [A] :  (r2_hidden(A, a_0_12_jgraph_2) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B &  ~ (p1_s2_jgraph_2(B)) ) ) ) ) ) ).
fof(fraenkel_a_0_13_jgraph_2, axiom,  (! [A] :  (r2_hidden(A, a_0_13_jgraph_2) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B & r1_xxreal_0(f1_s3_jgraph_2(B), f2_s3_jgraph_2(B))) ) ) ) ) ).
fof(fc1_jgraph_3, axiom,  (v1_funct_1(k1_jgraph_3) &  (v2_funct_1(k1_jgraph_3) & v1_funct_2(k1_jgraph_3, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))) ) ).
fof(t1_jgraph_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (k12_euclid(A)=k3_square_1(k2_xcmplx_0(k1_square_1(k17_euclid(A)), k1_square_1(k18_euclid(A)))) & k1_square_1(k12_euclid(A))=k2_xcmplx_0(k1_square_1(k17_euclid(A)), k1_square_1(k18_euclid(A)))) ) ) ).
fof(t2_jgraph_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] : k7_relat_1(k5_relat_1(A, B), C)=k7_relat_1(A, k3_xboole_0(C, B))) ) ) ) ).
fof(t3_jgraph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ( (k3_subset_1(u1_struct_0(A), D)=k6_domain_1(u1_struct_0(A), C) &  (k3_subset_1(u1_struct_0(B), E)=k6_domain_1(u1_struct_0(B), k3_funct_2(u1_struct_0(A), u1_struct_0(B), F, C)) &  (v8_pre_topc(A) &  (v8_pre_topc(B) &  ( (! [G] :  (m1_subset_1(G, u1_struct_0(k1_pre_topc(A, D))) =>  ~ (k1_funct_1(F, G)=k3_funct_2(u1_struct_0(A), u1_struct_0(B), F, C)) ) )  &  ( (v1_funct_1(k2_partfun1(u1_struct_0(A), u1_struct_0(B), F, D)) &  (v1_funct_2(k2_partfun1(u1_struct_0(A), u1_struct_0(B), F, D), u1_struct_0(k1_pre_topc(A, D)), u1_struct_0(k1_pre_topc(B, E))) &  (v5_pre_topc(k2_partfun1(u1_struct_0(A), u1_struct_0(B), F, D), k1_pre_topc(A, D), k1_pre_topc(B, E)) & m1_subset_1(k2_partfun1(u1_struct_0(A), u1_struct_0(B), F, D), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(A, D)), u1_struct_0(k1_pre_topc(B, E)))))) ) )  &  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(B))) =>  ~ ( (r2_tarski(k3_funct_2(u1_struct_0(A), u1_struct_0(B), F, C), G) &  (v3_pre_topc(G, B) &  (! [H] :  (m1_subset_1(H, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_tarski(C, H) &  (v3_pre_topc(H, A) & r1_tarski(k7_relset_1(u1_struct_0(A), u1_struct_0(B), F, H), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  => v5_pre_topc(F, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_jgraph_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  (A=k1_jgraph_3 <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (B=k4_struct_0(k15_euclid(2)) => k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), A, B)=B)  &  ( ~ ( ( ( (r1_xxreal_0(k18_euclid(B), k17_euclid(B)) & r1_xxreal_0(k4_xcmplx_0(k17_euclid(B)), k18_euclid(B)))  |  (r1_xxreal_0(k17_euclid(B), k18_euclid(B)) & r1_xxreal_0(k18_euclid(B), k4_xcmplx_0(k17_euclid(B)))) )  &  ( ~ (B=k4_struct_0(k15_euclid(2)))  &  ~ (k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), A, B)=k19_euclid(k7_xcmplx_0(k17_euclid(B), k3_square_1(k2_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k18_euclid(B), k17_euclid(B)))))), k7_xcmplx_0(k18_euclid(B), k3_square_1(k2_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k18_euclid(B), k17_euclid(B)))))))) ) ) )  &  ~ ( ( ~ ( (r1_xxreal_0(k18_euclid(B), k17_euclid(B)) & r1_xxreal_0(k4_xcmplx_0(k17_euclid(B)), k18_euclid(B))) )  &  ( ~ ( (r1_xxreal_0(k17_euclid(B), k18_euclid(B)) & r1_xxreal_0(k18_euclid(B), k4_xcmplx_0(k17_euclid(B)))) )  &  ( ~ (B=k4_struct_0(k15_euclid(2)))  &  ~ (k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), A, B)=k19_euclid(k7_xcmplx_0(k17_euclid(B), k3_square_1(k2_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k17_euclid(B), k18_euclid(B)))))), k7_xcmplx_0(k18_euclid(B), k3_square_1(k2_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k17_euclid(B), k18_euclid(B)))))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_jgraph_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  ( ~ (A=k4_struct_0(k15_euclid(2)))  =>  ( ( ( (r1_xxreal_0(k17_euclid(A), k18_euclid(A)) & r1_xxreal_0(k4_xcmplx_0(k18_euclid(A)), k17_euclid(A)))  |  (r1_xxreal_0(k18_euclid(A), k17_euclid(A)) & r1_xxreal_0(k17_euclid(A), k4_xcmplx_0(k18_euclid(A)))) )  => k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k1_jgraph_3, A)=k19_euclid(k7_xcmplx_0(k17_euclid(A), k3_square_1(k2_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k17_euclid(A), k18_euclid(A)))))), k7_xcmplx_0(k18_euclid(A), k3_square_1(k2_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k17_euclid(A), k18_euclid(A))))))))  &  ~ ( ( ~ ( (r1_xxreal_0(k17_euclid(A), k18_euclid(A)) & r1_xxreal_0(k4_xcmplx_0(k18_euclid(A)), k17_euclid(A))) )  &  ( ~ ( (r1_xxreal_0(k18_euclid(A), k17_euclid(A)) & r1_xxreal_0(k17_euclid(A), k4_xcmplx_0(k18_euclid(A)))) )  &  ~ (k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k1_jgraph_3, A)=k19_euclid(k7_xcmplx_0(k17_euclid(A), k3_square_1(k2_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k18_euclid(A), k17_euclid(A)))))), k7_xcmplx_0(k18_euclid(A), k3_square_1(k2_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k18_euclid(A), k17_euclid(A)))))))) ) ) ) ) ) ) ) ).
fof(t5_jgraph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( (v5_pre_topc(B, A, k3_topmetr) &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (v1_xreal_0(D) &  (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), B, C)=D & r1_xxreal_0(k5_numbers, D)) ) ) ) )  &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xreal_0(E) =>  (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), B, D)=E => k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), C, D)=k3_square_1(E)) ) ) ) )  & v5_pre_topc(C, A, k3_topmetr)) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_jgraph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( (v5_pre_topc(B, A, k3_topmetr) &  (v5_pre_topc(C, A, k3_topmetr) &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), C, D)=k5_numbers) ) )  &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ( (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), B, E)=F & k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), C, E)=G)  => k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), D, E)=k1_square_1(k7_xcmplx_0(F, G))) ) ) ) ) ) )  & v5_pre_topc(D, A, k3_topmetr)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_jgraph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( (v5_pre_topc(B, A, k3_topmetr) &  (v5_pre_topc(C, A, k3_topmetr) &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), C, D)=k5_numbers) ) )  &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ( (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), B, E)=F & k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), C, E)=G)  => k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), D, E)=k2_xcmplx_0(1, k1_square_1(k7_xcmplx_0(F, G)))) ) ) ) ) ) )  & v5_pre_topc(D, A, k3_topmetr)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_jgraph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( (v5_pre_topc(B, A, k3_topmetr) &  (v5_pre_topc(C, A, k3_topmetr) &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), C, D)=k5_numbers) ) )  &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ( (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), B, E)=F & k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), C, E)=G)  => k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), D, E)=k3_square_1(k2_xcmplx_0(1, k1_square_1(k7_xcmplx_0(F, G))))) ) ) ) ) ) )  & v5_pre_topc(D, A, k3_topmetr)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_jgraph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( (v5_pre_topc(B, A, k3_topmetr) &  (v5_pre_topc(C, A, k3_topmetr) &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), C, D)=k5_numbers) ) )  &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ( (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), B, E)=F & k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), C, E)=G)  => k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), D, E)=k7_xcmplx_0(F, k3_square_1(k2_xcmplx_0(1, k1_square_1(k7_xcmplx_0(F, G)))))) ) ) ) ) ) )  & v5_pre_topc(D, A, k3_topmetr)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_jgraph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( (v5_pre_topc(B, A, k3_topmetr) &  (v5_pre_topc(C, A, k3_topmetr) &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), C, D)=k5_numbers) ) )  &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ( (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), B, E)=F & k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), C, E)=G)  => k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), D, E)=k7_xcmplx_0(G, k3_square_1(k2_xcmplx_0(1, k1_square_1(k7_xcmplx_0(F, G)))))) ) ) ) ) ) )  & v5_pre_topc(D, A, k3_topmetr)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_jgraph_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k3_topmetr))))) )  =>  ( ( (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(C, u1_struct_0(k1_pre_topc(k15_euclid(2), A))) => k1_funct_1(B, C)=k7_xcmplx_0(k17_euclid(C), k3_square_1(k2_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k18_euclid(C), k17_euclid(C))))))) ) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(C, u1_struct_0(k1_pre_topc(k15_euclid(2), A))) & k17_euclid(C)=k5_numbers) ) ) ) )  => v5_pre_topc(B, k1_pre_topc(k15_euclid(2), A), k3_topmetr)) ) ) ) ) ).
fof(t12_jgraph_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k3_topmetr))))) )  =>  ( ( (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(C, u1_struct_0(k1_pre_topc(k15_euclid(2), A))) => k1_funct_1(B, C)=k7_xcmplx_0(k18_euclid(C), k3_square_1(k2_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k18_euclid(C), k17_euclid(C))))))) ) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(C, u1_struct_0(k1_pre_topc(k15_euclid(2), A))) & k17_euclid(C)=k5_numbers) ) ) ) )  => v5_pre_topc(B, k1_pre_topc(k15_euclid(2), A), k3_topmetr)) ) ) ) ) ).
fof(t13_jgraph_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k3_topmetr))))) )  =>  ( ( (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(C, u1_struct_0(k1_pre_topc(k15_euclid(2), A))) => k1_funct_1(B, C)=k7_xcmplx_0(k18_euclid(C), k3_square_1(k2_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k17_euclid(C), k18_euclid(C))))))) ) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(C, u1_struct_0(k1_pre_topc(k15_euclid(2), A))) & k18_euclid(C)=k5_numbers) ) ) ) )  => v5_pre_topc(B, k1_pre_topc(k15_euclid(2), A), k3_topmetr)) ) ) ) ) ).
fof(t14_jgraph_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k3_topmetr))))) )  =>  ( ( (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(C, u1_struct_0(k1_pre_topc(k15_euclid(2), A))) => k1_funct_1(B, C)=k7_xcmplx_0(k17_euclid(C), k3_square_1(k2_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k17_euclid(C), k18_euclid(C))))))) ) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(C, u1_struct_0(k1_pre_topc(k15_euclid(2), A))) & k18_euclid(C)=k5_numbers) ) ) ) )  => v5_pre_topc(B, k1_pre_topc(k15_euclid(2), A), k3_topmetr)) ) ) ) ) ).
fof(t19_jgraph_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ ( (k3_subset_1(u1_struct_0(k15_euclid(2)), A)=k6_domain_1(u1_struct_0(k15_euclid(2)), k4_struct_0(k15_euclid(2))) &  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k1_pre_topc(k15_euclid(2), A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k1_pre_topc(k15_euclid(2), A)))))) )  =>  ~ ( (B=k2_partfun1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k1_jgraph_3, A) & v5_pre_topc(B, k1_pre_topc(k15_euclid(2), A), k1_pre_topc(k15_euclid(2), A))) ) ) ) ) ) ) ) ).
fof(t20_jgraph_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (A=k8_struct_0(k15_euclid(2)) => k3_subset_1(u1_struct_0(k15_euclid(2)), A)=k6_domain_1(u1_struct_0(k15_euclid(2)), k4_struct_0(k15_euclid(2)))) ) ) ).
fof(t21_jgraph_3, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  &  (r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), A, k1_jgraph_3) & v5_pre_topc(A, k15_euclid(2), k15_euclid(2))) ) ) ).
fof(t22_jgraph_3, axiom, v2_funct_1(k1_jgraph_3)).
fof(t28_jgraph_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  ( (A=k4_struct_0(k15_euclid(2)) => k1_funct_1(k2_funct_1(k1_jgraph_3), A)=k4_struct_0(k15_euclid(2)))  &  ( ~ ( ( ( (r1_xxreal_0(k18_euclid(A), k17_euclid(A)) & r1_xxreal_0(k4_xcmplx_0(k17_euclid(A)), k18_euclid(A)))  |  (r1_xxreal_0(k17_euclid(A), k18_euclid(A)) & r1_xxreal_0(k18_euclid(A), k4_xcmplx_0(k17_euclid(A)))) )  &  ( ~ (A=k4_struct_0(k15_euclid(2)))  &  ~ (k1_funct_1(k2_funct_1(k1_jgraph_3), A)=k19_euclid(k3_xcmplx_0(k17_euclid(A), k3_square_1(k2_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k18_euclid(A), k17_euclid(A)))))), k3_xcmplx_0(k18_euclid(A), k3_square_1(k2_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k18_euclid(A), k17_euclid(A)))))))) ) ) )  &  ~ ( ( ~ ( (r1_xxreal_0(k18_euclid(A), k17_euclid(A)) & r1_xxreal_0(k4_xcmplx_0(k17_euclid(A)), k18_euclid(A))) )  &  ( ~ ( (r1_xxreal_0(k17_euclid(A), k18_euclid(A)) & r1_xxreal_0(k18_euclid(A), k4_xcmplx_0(k17_euclid(A)))) )  &  ~ (k1_funct_1(k2_funct_1(k1_jgraph_3), A)=k19_euclid(k3_xcmplx_0(k17_euclid(A), k3_square_1(k2_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k17_euclid(A), k18_euclid(A)))))), k3_xcmplx_0(k18_euclid(A), k3_square_1(k2_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k17_euclid(A), k18_euclid(A)))))))) ) ) ) ) ) ) ) ).
fof(t29_jgraph_3, axiom,  (v1_funct_1(k2_funct_1(k1_jgraph_3)) &  (v1_funct_2(k2_funct_1(k1_jgraph_3), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(k2_funct_1(k1_jgraph_3), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) ) ).
fof(t30_jgraph_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  ( ~ (A=k4_struct_0(k15_euclid(2)))  =>  ( ( ( (r1_xxreal_0(k17_euclid(A), k18_euclid(A)) & r1_xxreal_0(k4_xcmplx_0(k18_euclid(A)), k17_euclid(A)))  |  (r1_xxreal_0(k18_euclid(A), k17_euclid(A)) & r1_xxreal_0(k17_euclid(A), k4_xcmplx_0(k18_euclid(A)))) )  => k1_funct_1(k2_funct_1(k1_jgraph_3), A)=k19_euclid(k3_xcmplx_0(k17_euclid(A), k3_square_1(k2_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k17_euclid(A), k18_euclid(A)))))), k3_xcmplx_0(k18_euclid(A), k3_square_1(k2_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k17_euclid(A), k18_euclid(A))))))))  &  ~ ( ( ~ ( (r1_xxreal_0(k17_euclid(A), k18_euclid(A)) & r1_xxreal_0(k4_xcmplx_0(k18_euclid(A)), k17_euclid(A))) )  &  ( ~ ( (r1_xxreal_0(k18_euclid(A), k17_euclid(A)) & r1_xxreal_0(k17_euclid(A), k4_xcmplx_0(k18_euclid(A)))) )  &  ~ (k1_funct_1(k2_funct_1(k1_jgraph_3), A)=k19_euclid(k3_xcmplx_0(k17_euclid(A), k3_square_1(k2_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k18_euclid(A), k17_euclid(A)))))), k3_xcmplx_0(k18_euclid(A), k3_square_1(k2_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k18_euclid(A), k17_euclid(A)))))))) ) ) ) ) ) ) ) ).
fof(t31_jgraph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( (v5_pre_topc(B, A, k3_topmetr) &  (v5_pre_topc(C, A, k3_topmetr) &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), C, D)=k5_numbers) ) )  &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ( (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), B, E)=F & k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), C, E)=G)  => k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), D, E)=k3_xcmplx_0(F, k3_square_1(k2_xcmplx_0(1, k1_square_1(k7_xcmplx_0(F, G)))))) ) ) ) ) ) )  & v5_pre_topc(D, A, k3_topmetr)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_jgraph_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( (v5_pre_topc(B, A, k3_topmetr) &  (v5_pre_topc(C, A, k3_topmetr) &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), C, D)=k5_numbers) ) )  &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ( (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), B, E)=F & k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), C, E)=G)  => k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), D, E)=k3_xcmplx_0(G, k3_square_1(k2_xcmplx_0(1, k1_square_1(k7_xcmplx_0(F, G)))))) ) ) ) ) ) )  & v5_pre_topc(D, A, k3_topmetr)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_jgraph_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k3_topmetr))))) )  =>  ( ( (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(C, u1_struct_0(k1_pre_topc(k15_euclid(2), A))) => k1_funct_1(B, C)=k3_xcmplx_0(k17_euclid(C), k3_square_1(k2_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k18_euclid(C), k17_euclid(C))))))) ) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(C, u1_struct_0(k1_pre_topc(k15_euclid(2), A))) & k17_euclid(C)=k5_numbers) ) ) ) )  => v5_pre_topc(B, k1_pre_topc(k15_euclid(2), A), k3_topmetr)) ) ) ) ) ).
fof(t34_jgraph_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k3_topmetr))))) )  =>  ( ( (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(C, u1_struct_0(k1_pre_topc(k15_euclid(2), A))) => k1_funct_1(B, C)=k3_xcmplx_0(k18_euclid(C), k3_square_1(k2_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k18_euclid(C), k17_euclid(C))))))) ) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(C, u1_struct_0(k1_pre_topc(k15_euclid(2), A))) & k17_euclid(C)=k5_numbers) ) ) ) )  => v5_pre_topc(B, k1_pre_topc(k15_euclid(2), A), k3_topmetr)) ) ) ) ) ).
fof(t35_jgraph_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k3_topmetr))))) )  =>  ( ( (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(C, u1_struct_0(k1_pre_topc(k15_euclid(2), A))) => k1_funct_1(B, C)=k3_xcmplx_0(k18_euclid(C), k3_square_1(k2_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k17_euclid(C), k18_euclid(C))))))) ) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(C, u1_struct_0(k1_pre_topc(k15_euclid(2), A))) & k18_euclid(C)=k5_numbers) ) ) ) )  => v5_pre_topc(B, k1_pre_topc(k15_euclid(2), A), k3_topmetr)) ) ) ) ) ).
fof(t36_jgraph_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k3_topmetr))))) )  =>  ( ( (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(C, u1_struct_0(k1_pre_topc(k15_euclid(2), A))) => k1_funct_1(B, C)=k3_xcmplx_0(k17_euclid(C), k3_square_1(k2_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k17_euclid(C), k18_euclid(C))))))) ) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(C, u1_struct_0(k1_pre_topc(k15_euclid(2), A))) & k18_euclid(C)=k5_numbers) ) ) ) )  => v5_pre_topc(B, k1_pre_topc(k15_euclid(2), A), k3_topmetr)) ) ) ) ) ).
fof(t41_jgraph_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ ( (k3_subset_1(u1_struct_0(k15_euclid(2)), A)=k6_domain_1(u1_struct_0(k15_euclid(2)), k4_struct_0(k15_euclid(2))) &  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k1_pre_topc(k15_euclid(2), A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k1_pre_topc(k15_euclid(2), A)))))) )  =>  ~ ( (B=k5_relat_1(k2_funct_1(k1_jgraph_3), A) & v5_pre_topc(B, k1_pre_topc(k15_euclid(2), A), k1_pre_topc(k15_euclid(2), A))) ) ) ) ) ) ) ) ).
fof(t42_jgraph_3, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  &  (A=k2_funct_1(k1_jgraph_3) & v5_pre_topc(A, k15_euclid(2), k15_euclid(2))) ) ) ).
fof(t43_jgraph_3, axiom,  ( (v1_funct_1(k1_jgraph_3) &  (v1_funct_2(k1_jgraph_3, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(k1_jgraph_3, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  &  (k2_relset_1(u1_struct_0(k15_euclid(2)), k1_jgraph_3)=u1_struct_0(k15_euclid(2)) &  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  (r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), A, k1_jgraph_3) => v3_tops_2(A, k15_euclid(2), k15_euclid(2))) ) ) ) ) ).
fof(dt_k1_jgraph_3, axiom,  (v1_funct_1(k1_jgraph_3) &  (v1_funct_2(k1_jgraph_3, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(k1_jgraph_3, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) ) ).
fof(t15_jgraph_3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k1_pre_topc(k15_euclid(2), B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k1_pre_topc(k15_euclid(2), B)))))) )  =>  ( (C=k2_partfun1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k1_jgraph_3, A) &  (B=k8_struct_0(k15_euclid(2)) & A=a_0_0_jgraph_3) )  => v5_pre_topc(C, k1_pre_topc(k15_euclid(2), A), k1_pre_topc(k15_euclid(2), B))) ) ) ) ) ) ) ).
fof(t16_jgraph_3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k1_pre_topc(k15_euclid(2), B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k1_pre_topc(k15_euclid(2), B)))))) )  =>  ( (C=k2_partfun1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k1_jgraph_3, A) &  (B=k8_struct_0(k15_euclid(2)) & A=a_0_1_jgraph_3) )  => v5_pre_topc(C, k1_pre_topc(k15_euclid(2), A), k1_pre_topc(k15_euclid(2), B))) ) ) ) ) ) ) ).
fof(t17_jgraph_3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2), A), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2), A), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), A)))))) )  =>  ( (C=k2_partfun1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k1_jgraph_3, B) &  (A=k8_struct_0(k15_euclid(2)) & B=a_0_0_jgraph_3) )  =>  (v5_pre_topc(C, k1_pre_topc(k1_pre_topc(k15_euclid(2), A), B), k1_pre_topc(k15_euclid(2), A)) & v4_pre_topc(B, k1_pre_topc(k15_euclid(2), A))) ) ) ) ) ) ) ) ).
fof(t18_jgraph_3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2), A), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2), A), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), A)))))) )  =>  ( (C=k2_partfun1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k1_jgraph_3, B) &  (A=k8_struct_0(k15_euclid(2)) & B=a_0_1_jgraph_3) )  =>  (v5_pre_topc(C, k1_pre_topc(k1_pre_topc(k15_euclid(2), A), B), k1_pre_topc(k15_euclid(2), A)) & v4_pre_topc(B, k1_pre_topc(k15_euclid(2), A))) ) ) ) ) ) ) ) ).
fof(t23_jgraph_3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (A=a_0_2_jgraph_3 & B=a_0_3_jgraph_3)  => k7_relset_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k1_jgraph_3, A)=B) ) ) ) ) ).
fof(t24_jgraph_3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), A)))))) )  =>  ( (B=a_0_2_jgraph_3 & v3_tops_2(C, k1_pre_topc(k15_euclid(2), B), k1_pre_topc(k15_euclid(2), A)))  => v1_topreal2(A)) ) ) ) ) ) ) ).
fof(t25_jgraph_3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (A=a_0_2_jgraph_3 =>  (v1_topreal2(A) & v2_compts_1(A, k15_euclid(2))) ) ) ) ).
fof(t26_jgraph_3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (A=a_0_3_jgraph_3 => v1_topreal2(A)) ) ) ).
fof(t27_jgraph_3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (A=a_0_4_jgraph_3 & B=a_0_5_jgraph_3)  => r1_tarski(k8_relset_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k1_jgraph_3, B), A)) ) ) ) ) ).
fof(t37_jgraph_3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k1_pre_topc(k15_euclid(2), B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k1_pre_topc(k15_euclid(2), B)))))) )  =>  ( (C=k5_relat_1(k2_funct_1(k1_jgraph_3), A) &  (B=k8_struct_0(k15_euclid(2)) & A=a_0_0_jgraph_3) )  => v5_pre_topc(C, k1_pre_topc(k15_euclid(2), A), k1_pre_topc(k15_euclid(2), B))) ) ) ) ) ) ) ).
fof(t38_jgraph_3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k1_pre_topc(k15_euclid(2), B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k1_pre_topc(k15_euclid(2), B)))))) )  =>  ( (C=k5_relat_1(k2_funct_1(k1_jgraph_3), A) &  (B=k8_struct_0(k15_euclid(2)) & A=a_0_1_jgraph_3) )  => v5_pre_topc(C, k1_pre_topc(k15_euclid(2), A), k1_pre_topc(k15_euclid(2), B))) ) ) ) ) ) ) ).
fof(t39_jgraph_3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2), A), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2), A), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), A)))))) )  =>  ( (C=k5_relat_1(k2_funct_1(k1_jgraph_3), B) &  (A=k8_struct_0(k15_euclid(2)) & B=a_0_0_jgraph_3) )  =>  (v5_pre_topc(C, k1_pre_topc(k1_pre_topc(k15_euclid(2), A), B), k1_pre_topc(k15_euclid(2), A)) & v4_pre_topc(B, k1_pre_topc(k15_euclid(2), A))) ) ) ) ) ) ) ) ).
fof(t40_jgraph_3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2), A), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2), A), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), A)))))) )  =>  ( (C=k5_relat_1(k2_funct_1(k1_jgraph_3), B) &  (A=k8_struct_0(k15_euclid(2)) & B=a_0_1_jgraph_3) )  =>  (v5_pre_topc(C, k1_pre_topc(k1_pre_topc(k15_euclid(2), A), B), k1_pre_topc(k15_euclid(2), A)) & v4_pre_topc(B, k1_pre_topc(k15_euclid(2), A))) ) ) ) ) ) ) ) ).
fof(t44_jgraph_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k5_topmetr)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k5_topmetr)) =>  ~ ( (H=k5_numbers &  (I=1 &  (v5_pre_topc(A, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(A) &  (v5_pre_topc(B, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(B) &  (C=a_0_5_jgraph_3 &  (D=a_0_6_jgraph_3 &  (E=a_0_7_jgraph_3 &  (F=a_0_8_jgraph_3 &  (G=a_0_9_jgraph_3 &  (r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, H), E) &  (r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, I), D) &  (r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, H), G) &  (r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, I), F) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), A), C) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), B), C) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), A), k2_relset_1(u1_struct_0(k15_euclid(2)), B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_jgraph_3, axiom, r1_tarski(a_0_10_jgraph_3, k8_struct_0(k15_euclid(2)))).
fof(s2_jgraph_3, axiom, a_0_11_jgraph_3=k9_subset_1(u1_struct_0(k15_euclid(2)), a_0_12_jgraph_3, k8_struct_0(k15_euclid(2)))).
fof(fraenkel_a_0_0_jgraph_3, axiom,  (! [A] :  (r2_hidden(A, a_0_0_jgraph_3) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B &  ( ( (r1_xxreal_0(k18_euclid(B), k17_euclid(B)) & r1_xxreal_0(k4_xcmplx_0(k17_euclid(B)), k18_euclid(B)))  |  (r1_xxreal_0(k17_euclid(B), k18_euclid(B)) & r1_xxreal_0(k18_euclid(B), k4_xcmplx_0(k17_euclid(B)))) )  &  ~ (B=k4_struct_0(k15_euclid(2))) ) ) ) ) ) ) ).
fof(fraenkel_a_0_1_jgraph_3, axiom,  (! [A] :  (r2_hidden(A, a_0_1_jgraph_3) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B &  ( ( (r1_xxreal_0(k17_euclid(B), k18_euclid(B)) & r1_xxreal_0(k4_xcmplx_0(k18_euclid(B)), k17_euclid(B)))  |  (r1_xxreal_0(k18_euclid(B), k17_euclid(B)) & r1_xxreal_0(k17_euclid(B), k4_xcmplx_0(k18_euclid(B)))) )  &  ~ (B=k4_struct_0(k15_euclid(2))) ) ) ) ) ) ) ).
fof(fraenkel_a_0_2_jgraph_3, axiom,  (! [A] :  (r2_hidden(A, a_0_2_jgraph_3) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B &  ~ ( ( ~ ( (k4_xcmplx_0(1)=k17_euclid(B) &  (r1_xxreal_0(k4_xcmplx_0(1), k18_euclid(B)) & r1_xxreal_0(k18_euclid(B), 1)) ) )  &  ( ~ ( (k17_euclid(B)=1 &  (r1_xxreal_0(k4_xcmplx_0(1), k18_euclid(B)) & r1_xxreal_0(k18_euclid(B), 1)) ) )  &  ( ~ ( (k4_xcmplx_0(1)=k18_euclid(B) &  (r1_xxreal_0(k4_xcmplx_0(1), k17_euclid(B)) & r1_xxreal_0(k17_euclid(B), 1)) ) )  &  ~ ( (1=k18_euclid(B) &  (r1_xxreal_0(k4_xcmplx_0(1), k17_euclid(B)) & r1_xxreal_0(k17_euclid(B), 1)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_0_3_jgraph_3, axiom,  (! [A] :  (r2_hidden(A, a_0_3_jgraph_3) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B & k12_euclid(B)=1) ) ) ) ) ).
fof(fraenkel_a_0_4_jgraph_3, axiom,  (! [A] :  (r2_hidden(A, a_0_4_jgraph_3) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B &  (r1_xxreal_0(k4_xcmplx_0(1), k17_euclid(B)) &  (r1_xxreal_0(k17_euclid(B), 1) &  (r1_xxreal_0(k4_xcmplx_0(1), k18_euclid(B)) & r1_xxreal_0(k18_euclid(B), 1)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_0_5_jgraph_3, axiom,  (! [A] :  (r2_hidden(A, a_0_5_jgraph_3) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B & r1_xxreal_0(k12_euclid(B), 1)) ) ) ) ) ).
fof(fraenkel_a_0_6_jgraph_3, axiom,  (! [A] :  (r2_hidden(A, a_0_6_jgraph_3) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B &  (k12_euclid(B)=1 &  (r1_xxreal_0(k18_euclid(B), k17_euclid(B)) & r1_xxreal_0(k4_xcmplx_0(k17_euclid(B)), k18_euclid(B))) ) ) ) ) ) ) ).
fof(fraenkel_a_0_7_jgraph_3, axiom,  (! [A] :  (r2_hidden(A, a_0_7_jgraph_3) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B &  (k12_euclid(B)=1 &  (r1_xxreal_0(k17_euclid(B), k18_euclid(B)) & r1_xxreal_0(k18_euclid(B), k4_xcmplx_0(k17_euclid(B)))) ) ) ) ) ) ) ).
fof(fraenkel_a_0_8_jgraph_3, axiom,  (! [A] :  (r2_hidden(A, a_0_8_jgraph_3) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B &  (k12_euclid(B)=1 &  (r1_xxreal_0(k17_euclid(B), k18_euclid(B)) & r1_xxreal_0(k4_xcmplx_0(k17_euclid(B)), k18_euclid(B))) ) ) ) ) ) ) ).
fof(fraenkel_a_0_9_jgraph_3, axiom,  (! [A] :  (r2_hidden(A, a_0_9_jgraph_3) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B &  (k12_euclid(B)=1 &  (r1_xxreal_0(k18_euclid(B), k17_euclid(B)) & r1_xxreal_0(k18_euclid(B), k4_xcmplx_0(k17_euclid(B)))) ) ) ) ) ) ) ).
fof(fraenkel_a_0_10_jgraph_3, axiom,  (! [A] :  (r2_hidden(A, a_0_10_jgraph_3) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B &  (p1_s1_jgraph_3(B) &  ~ (B=k4_struct_0(k15_euclid(2))) ) ) ) ) ) ) ).
fof(fraenkel_a_0_11_jgraph_3, axiom,  (! [A] :  (r2_hidden(A, a_0_11_jgraph_3) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B &  (p1_s2_jgraph_3(B) &  ~ (B=k4_struct_0(k15_euclid(2))) ) ) ) ) ) ) ).
fof(fraenkel_a_0_12_jgraph_3, axiom,  (! [A] :  (r2_hidden(A, a_0_12_jgraph_3) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B & p1_s2_jgraph_3(B)) ) ) ) ) ).
fof(fc1_jgraph_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_funct_1(k1_jgraph_4(A)) &  (v1_funct_2(k1_jgraph_4(A), u1_struct_0(k15_euclid(A)), u1_struct_0(k3_topmetr)) & v5_pre_topc(k1_jgraph_4(A), k15_euclid(A), k3_topmetr)) ) ) ) ).
fof(t3_jgraph_4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  ( (v5_pre_topc(A, k15_euclid(2), k15_euclid(2)) &  (v2_funct_1(A) &  (k2_relset_1(u1_struct_0(k15_euclid(2)), A)=k2_struct_0(k15_euclid(2)) &  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (? [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_compts_1(C, k15_euclid(2)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  &  (C=k7_relset_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), A, C) &  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  (r2_tarski(B, D) &  (v3_pre_topc(D, k15_euclid(2)) &  (r1_tarski(D, C) & r2_tarski(k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), A, B), D)) ) ) ) ) ) ) ) ) ) ) ) )  => v3_tops_2(A, k15_euclid(2), k15_euclid(2))) ) ) ).
fof(t4_jgraph_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( (v5_pre_topc(B, A, k3_topmetr) &  (v5_pre_topc(C, A, k3_topmetr) &  ( ~ (E=k5_numbers)  &  ( (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), C, F)=k5_numbers) ) )  &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( ( (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  ( (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), B, G)=H & k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), C, G)=I)  => k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), F, G)=k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(H, I), D), E)) ) ) ) ) ) )  & v5_pre_topc(F, A, k3_topmetr)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_jgraph_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( (v5_pre_topc(B, A, k3_topmetr) &  (v5_pre_topc(C, A, k3_topmetr) &  ( ~ (E=k5_numbers)  &  ( (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), C, F)=k5_numbers) ) )  &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( ( (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  ( (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), B, G)=H & k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), C, G)=I)  => k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), F, G)=k3_xcmplx_0(I, k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(H, I), D), E))) ) ) ) ) ) )  & v5_pre_topc(F, A, k3_topmetr)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_jgraph_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( (v5_pre_topc(B, A, k3_topmetr) &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xreal_0(E) =>  (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), B, D)=E => k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), C, D)=k1_square_1(E)) ) ) ) )  & v5_pre_topc(C, A, k3_topmetr)) ) ) ) ) ) ) ) ) ) ).
fof(t7_jgraph_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( (v5_pre_topc(B, A, k3_topmetr) &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xreal_0(E) =>  (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), B, D)=E => k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), C, D)=k9_complex1(E)) ) ) ) )  & v5_pre_topc(C, A, k3_topmetr)) ) ) ) ) ) ) ) ) ) ).
fof(t8_jgraph_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( (v5_pre_topc(B, A, k3_topmetr) &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xreal_0(E) =>  (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), B, D)=E => k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), C, D)=k4_xcmplx_0(E)) ) ) ) )  & v5_pre_topc(C, A, k3_topmetr)) ) ) ) ) ) ) ) ) ) ).
fof(t9_jgraph_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( (v5_pre_topc(B, A, k3_topmetr) &  (v5_pre_topc(C, A, k3_topmetr) &  ( ~ (E=k5_numbers)  &  ( (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), C, F)=k5_numbers) ) )  &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( ( (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  ( (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), B, G)=H & k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), C, G)=I)  => k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), F, G)=k3_xcmplx_0(I, k4_xcmplx_0(k3_square_1(k9_complex1(k6_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(H, I), D), E)))))))) ) ) ) ) ) )  & v5_pre_topc(F, A, k3_topmetr)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_jgraph_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( (v5_pre_topc(B, A, k3_topmetr) &  (v5_pre_topc(C, A, k3_topmetr) &  ( ~ (E=k5_numbers)  &  ( (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), C, F)=k5_numbers) ) )  &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( ( (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  ( (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), B, G)=H & k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), C, G)=I)  => k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), F, G)=k3_xcmplx_0(I, k3_square_1(k9_complex1(k6_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(H, I), D), E))))))) ) ) ) ) ) )  & v5_pre_topc(F, A, k3_topmetr)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_jgraph_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k15_euclid(A)), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k3_topmetr))))) )  =>  (B=k1_jgraph_4(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) => k3_funct_2(u1_struct_0(k15_euclid(A)), u1_struct_0(k3_topmetr), B, C)=k12_euclid(C)) ) ) ) ) ) ) ).
fof(t11_jgraph_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (k1_relset_1(u1_struct_0(k15_euclid(A)), k1_jgraph_4(A))=u1_struct_0(k15_euclid(A)) & k1_relset_1(u1_struct_0(k15_euclid(A)), k1_jgraph_4(A))=k1_euclid(A)) ) ) ).
fof(t12_jgraph_4, axiom,  (! [A] :  (v7_ordinal1(A) => v5_pre_topc(k1_jgraph_4(A), k15_euclid(A), k3_topmetr)) ) ).
fof(t13_jgraph_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k1_pre_topc(k15_euclid(A), B)), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A), B)), u1_struct_0(k3_topmetr))))) )  =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(k1_pre_topc(k15_euclid(A), B))) => k1_funct_1(C, D)=k1_funct_1(k1_jgraph_4(A), D)) )  => v5_pre_topc(C, k1_pre_topc(k15_euclid(A), B), k3_topmetr)) ) ) ) ) ) ) ).
fof(t14_jgraph_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k14_euclid(A))) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (D=k9_metric_1(k14_euclid(A), B, C) =>  (v9_rltopsp1(D, k15_euclid(A)) & v4_pre_topc(D, k15_euclid(A))) ) ) ) ) ) ) ) ) ) ).
fof(t15_jgraph_4, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k14_euclid(2))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (C=k9_metric_1(k14_euclid(2), A, B) => v2_compts_1(C, k15_euclid(2))) ) ) ) ) ) ) ).
fof(d2_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (r1_xxreal_0(A, k7_xcmplx_0(k18_euclid(B), k12_euclid(B))) =>  (r1_xxreal_0(k5_numbers, k17_euclid(B)) | k2_jgraph_4(A, B)=k1_rlvect_1(k15_euclid(2), k19_euclid(k4_xcmplx_0(k3_square_1(k6_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(B), k12_euclid(B)), A), k6_xcmplx_0(1, A)))))), k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(B), k12_euclid(B)), A), k6_xcmplx_0(1, A))), k12_euclid(B))) )  &  ( ~ ( ( ~ (r1_xxreal_0(A, k7_xcmplx_0(k18_euclid(B), k12_euclid(B))))  &  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(B)))  &  ~ (k2_jgraph_4(A, B)=k1_rlvect_1(k15_euclid(2), k19_euclid(k4_xcmplx_0(k3_square_1(k6_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(B), k12_euclid(B)), A), k2_xcmplx_0(1, A)))))), k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(B), k12_euclid(B)), A), k2_xcmplx_0(1, A))), k12_euclid(B))) ) ) )  &  ~ ( ( ~ ( (r1_xxreal_0(A, k7_xcmplx_0(k18_euclid(B), k12_euclid(B))) &  ~ (r1_xxreal_0(k5_numbers, k17_euclid(B))) ) )  &  ( ~ ( ( ~ (r1_xxreal_0(A, k7_xcmplx_0(k18_euclid(B), k12_euclid(B))))  &  ~ (r1_xxreal_0(k5_numbers, k17_euclid(B))) ) )  &  ~ (k2_jgraph_4(A, B)=B) ) ) ) ) ) ) ) ) ) ).
fof(d3_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  (B=k3_jgraph_4(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) => k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), B, C)=k2_jgraph_4(A, C)) ) ) ) ) ) ) ).
fof(t16_jgraph_4, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_xxreal_0(B, k7_xcmplx_0(k18_euclid(A), k12_euclid(A))) =>  (r1_xxreal_0(k5_numbers, k17_euclid(A)) | k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k3_jgraph_4(B), A)=k19_euclid(k3_xcmplx_0(k12_euclid(A), k4_xcmplx_0(k3_square_1(k6_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(A), k12_euclid(A)), B), k6_xcmplx_0(1, B))))))), k3_xcmplx_0(k12_euclid(A), k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(A), k12_euclid(A)), B), k6_xcmplx_0(1, B))))) )  &  (r1_xxreal_0(k5_numbers, k17_euclid(A)) => k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k3_jgraph_4(B), A)=A) ) ) ) ) ) ).
fof(t17_jgraph_4, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(k7_xcmplx_0(k18_euclid(A), k12_euclid(A)), B) =>  (r1_xxreal_0(k5_numbers, k17_euclid(A)) | k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k3_jgraph_4(B), A)=k19_euclid(k3_xcmplx_0(k12_euclid(A), k4_xcmplx_0(k3_square_1(k6_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(A), k12_euclid(A)), B), k2_xcmplx_0(1, B))))))), k3_xcmplx_0(k12_euclid(A), k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(A), k12_euclid(A)), B), k2_xcmplx_0(1, B))))) ) ) ) ) ) ).
fof(t18_jgraph_4, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, B))  &  ~ ( ( ( (r1_xxreal_0(B, k7_xcmplx_0(k18_euclid(A), k12_euclid(A))) & r1_xxreal_0(k17_euclid(A), k5_numbers))  =>  (A=k4_struct_0(k15_euclid(2)) | k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k3_jgraph_4(B), A)=k19_euclid(k3_xcmplx_0(k12_euclid(A), k4_xcmplx_0(k3_square_1(k6_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(A), k12_euclid(A)), B), k6_xcmplx_0(1, B))))))), k3_xcmplx_0(k12_euclid(A), k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(A), k12_euclid(A)), B), k6_xcmplx_0(1, B))))) )  &  ( (r1_xxreal_0(k7_xcmplx_0(k18_euclid(A), k12_euclid(A)), B) & r1_xxreal_0(k17_euclid(A), k5_numbers))  =>  (A=k4_struct_0(k15_euclid(2)) | k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k3_jgraph_4(B), A)=k19_euclid(k3_xcmplx_0(k12_euclid(A), k4_xcmplx_0(k3_square_1(k6_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(A), k12_euclid(A)), B), k2_xcmplx_0(1, B))))))), k3_xcmplx_0(k12_euclid(A), k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(A), k12_euclid(A)), B), k2_xcmplx_0(1, B))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k3_topmetr))))) )  =>  ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B))) => k1_funct_1(C, D)=k3_xcmplx_0(k12_euclid(D), k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(D), k12_euclid(D)), A), k6_xcmplx_0(1, A)))) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B))) =>  (r1_xxreal_0(k17_euclid(D), k5_numbers) &  ~ (D=k4_struct_0(k15_euclid(2))) ) ) ) ) )  =>  (r1_xxreal_0(1, A) | v5_pre_topc(C, k1_pre_topc(k15_euclid(2), B), k3_topmetr)) ) ) ) ) ) ) ) ).
fof(t20_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k3_topmetr))))) )  =>  ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B))) => k1_funct_1(C, D)=k3_xcmplx_0(k12_euclid(D), k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(D), k12_euclid(D)), A), k2_xcmplx_0(1, A)))) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B))) =>  (r1_xxreal_0(k17_euclid(D), k5_numbers) &  ~ (D=k4_struct_0(k15_euclid(2))) ) ) ) ) )  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) | v5_pre_topc(C, k1_pre_topc(k15_euclid(2), B), k3_topmetr)) ) ) ) ) ) ) ) ).
fof(t21_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k3_topmetr))))) )  =>  ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B))) => k1_funct_1(C, D)=k3_xcmplx_0(k12_euclid(D), k4_xcmplx_0(k3_square_1(k6_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(D), k12_euclid(D)), A), k6_xcmplx_0(1, A)))))))) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B))) =>  (r1_xxreal_0(k17_euclid(D), k5_numbers) &  (r1_xxreal_0(A, k7_xcmplx_0(k18_euclid(D), k12_euclid(D))) &  ~ (D=k4_struct_0(k15_euclid(2))) ) ) ) ) ) )  =>  (r1_xxreal_0(1, A) | v5_pre_topc(C, k1_pre_topc(k15_euclid(2), B), k3_topmetr)) ) ) ) ) ) ) ) ).
fof(t22_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k3_topmetr))))) )  =>  ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B))) => k1_funct_1(C, D)=k3_xcmplx_0(k12_euclid(D), k4_xcmplx_0(k3_square_1(k6_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(D), k12_euclid(D)), A), k2_xcmplx_0(1, A)))))))) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B))) =>  (r1_xxreal_0(k17_euclid(D), k5_numbers) &  (r1_xxreal_0(k7_xcmplx_0(k18_euclid(D), k12_euclid(D)), A) &  ~ (D=k4_struct_0(k15_euclid(2))) ) ) ) ) ) )  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) | v5_pre_topc(C, k1_pre_topc(k15_euclid(2), B), k3_topmetr)) ) ) ) ) ) ) ) ).
fof(t33_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => k12_euclid(k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k3_jgraph_4(A), B))=k12_euclid(B)) ) ) ) ).
fof(t36_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, A))  &  (k3_subset_1(u1_struct_0(k15_euclid(2)), B)=k6_domain_1(u1_struct_0(k15_euclid(2)), k4_struct_0(k15_euclid(2))) &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), B)))))) )  =>  ~ ( (C=k2_partfun1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k3_jgraph_4(A), B) & v5_pre_topc(C, k1_pre_topc(k15_euclid(2), B), k1_pre_topc(k15_euclid(2), B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, A))  &  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( (r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), B, k3_jgraph_4(A)) & v5_pre_topc(B, k15_euclid(2), k15_euclid(2))) ) ) ) ) ) ) ) ) ).
fof(t38_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, A))  &  ~ (v2_funct_1(k3_jgraph_4(A))) ) ) ) ) ) ).
fof(t39_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, A))  &  ~ ( ( (v1_funct_1(k3_jgraph_4(A)) &  (v1_funct_2(k3_jgraph_4(A), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(k3_jgraph_4(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  & k2_relset_1(u1_struct_0(k15_euclid(2)), k3_jgraph_4(A))=u1_struct_0(k15_euclid(2))) ) ) ) ) ) ) ).
fof(t40_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, A))  &  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_compts_1(C, k15_euclid(2)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ~ ( (C=k7_relset_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k3_jgraph_4(A), C) &  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  (r2_tarski(B, D) &  (v3_pre_topc(D, k15_euclid(2)) &  (r1_tarski(D, C) & r2_tarski(k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k3_jgraph_4(A), B), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, A))  &  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( (r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), B, k3_jgraph_4(A)) & v3_tops_2(B, k15_euclid(2), k15_euclid(2))) ) ) ) ) ) ) ) ) ).
fof(t42_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r1_xxreal_0(A, k7_xcmplx_0(k18_euclid(B), k12_euclid(B))) =>  (r1_xxreal_0(1, A) |  (r1_xxreal_0(k5_numbers, k17_euclid(B)) |  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (C=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k3_jgraph_4(A), B) =>  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(C)))  & r1_xxreal_0(k5_numbers, k18_euclid(C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(B)))  &  ( ~ (r1_xxreal_0(A, k7_xcmplx_0(k18_euclid(B), k12_euclid(B))))  &  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (C=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k3_jgraph_4(A), B) &  ~ ( ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(C)))  &  ~ (r1_xxreal_0(k5_numbers, k18_euclid(C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r1_xxreal_0(A, k7_xcmplx_0(k18_euclid(B), k12_euclid(B))) & r1_xxreal_0(A, k7_xcmplx_0(k18_euclid(C), k12_euclid(C))))  =>  (r1_xxreal_0(1, A) |  (r1_xxreal_0(k5_numbers, k17_euclid(B)) |  (r1_xxreal_0(k5_numbers, k17_euclid(C)) |  (r1_xxreal_0(k7_xcmplx_0(k18_euclid(C), k12_euclid(C)), k7_xcmplx_0(k18_euclid(B), k12_euclid(B))) |  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ~ ( (D=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k3_jgraph_4(A), B) &  (E=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k3_jgraph_4(A), C) & r1_xxreal_0(k7_xcmplx_0(k18_euclid(E), k12_euclid(E)), k7_xcmplx_0(k18_euclid(D), k12_euclid(D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(B)))  &  ( ~ (r1_xxreal_0(A, k7_xcmplx_0(k18_euclid(B), k12_euclid(B))))  &  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(C)))  &  ( ~ (r1_xxreal_0(A, k7_xcmplx_0(k18_euclid(C), k12_euclid(C))))  &  ( ~ (r1_xxreal_0(k7_xcmplx_0(k18_euclid(C), k12_euclid(C)), k7_xcmplx_0(k18_euclid(B), k12_euclid(B))))  &  (? [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) &  (? [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) &  (D=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k3_jgraph_4(A), B) &  (E=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k3_jgraph_4(A), C) & r1_xxreal_0(k7_xcmplx_0(k18_euclid(E), k12_euclid(E)), k7_xcmplx_0(k18_euclid(D), k12_euclid(D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, A))  &  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(B)))  &  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(C)))  &  ( ~ (r1_xxreal_0(k7_xcmplx_0(k18_euclid(C), k12_euclid(C)), k7_xcmplx_0(k18_euclid(B), k12_euclid(B))))  &  (? [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) &  (? [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) &  (D=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k3_jgraph_4(A), B) &  (E=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k3_jgraph_4(A), C) & r1_xxreal_0(k7_xcmplx_0(k18_euclid(E), k12_euclid(E)), k7_xcmplx_0(k18_euclid(D), k12_euclid(D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (k7_xcmplx_0(k18_euclid(B), k12_euclid(B))=A =>  (r1_xxreal_0(k5_numbers, k17_euclid(B)) |  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (C=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k3_jgraph_4(A), B) =>  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(C)))  & k18_euclid(C)=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t48_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) => k4_struct_0(k15_euclid(2))=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k3_jgraph_4(A), k4_struct_0(k15_euclid(2)))) ) ).
fof(d4_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (r1_xxreal_0(A, k7_xcmplx_0(k17_euclid(B), k12_euclid(B))) =>  (r1_xxreal_0(k18_euclid(B), k5_numbers) | k4_jgraph_4(A, B)=k1_rlvect_1(k15_euclid(2), k19_euclid(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(B), k12_euclid(B)), A), k6_xcmplx_0(1, A)), k3_square_1(k6_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(B), k12_euclid(B)), A), k6_xcmplx_0(1, A)))))), k12_euclid(B))) )  &  ( ~ ( ( ~ (r1_xxreal_0(A, k7_xcmplx_0(k17_euclid(B), k12_euclid(B))))  &  ( ~ (r1_xxreal_0(k18_euclid(B), k5_numbers))  &  ~ (k4_jgraph_4(A, B)=k1_rlvect_1(k15_euclid(2), k19_euclid(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(B), k12_euclid(B)), A), k2_xcmplx_0(1, A)), k3_square_1(k6_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(B), k12_euclid(B)), A), k2_xcmplx_0(1, A)))))), k12_euclid(B))) ) ) )  &  ~ ( ( ~ ( (r1_xxreal_0(A, k7_xcmplx_0(k17_euclid(B), k12_euclid(B))) &  ~ (r1_xxreal_0(k18_euclid(B), k5_numbers)) ) )  &  ( ~ ( ( ~ (r1_xxreal_0(A, k7_xcmplx_0(k17_euclid(B), k12_euclid(B))))  &  ~ (r1_xxreal_0(k18_euclid(B), k5_numbers)) ) )  &  ~ (k4_jgraph_4(A, B)=B) ) ) ) ) ) ) ) ) ) ).
fof(d5_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  (B=k5_jgraph_4(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) => k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), B, C)=k4_jgraph_4(A, C)) ) ) ) ) ) ) ).
fof(t49_jgraph_4, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_xxreal_0(B, k7_xcmplx_0(k17_euclid(A), k12_euclid(A))) =>  (r1_xxreal_0(k18_euclid(A), k5_numbers) | k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k5_jgraph_4(B), A)=k19_euclid(k3_xcmplx_0(k12_euclid(A), k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(A), k12_euclid(A)), B), k6_xcmplx_0(1, B))), k3_xcmplx_0(k12_euclid(A), k3_square_1(k6_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(A), k12_euclid(A)), B), k6_xcmplx_0(1, B)))))))) )  &  (r1_xxreal_0(k18_euclid(A), k5_numbers) => k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k5_jgraph_4(B), A)=A) ) ) ) ) ) ).
fof(t50_jgraph_4, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(k7_xcmplx_0(k17_euclid(A), k12_euclid(A)), B) =>  (r1_xxreal_0(k18_euclid(A), k5_numbers) | k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k5_jgraph_4(B), A)=k19_euclid(k3_xcmplx_0(k12_euclid(A), k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(A), k12_euclid(A)), B), k2_xcmplx_0(1, B))), k3_xcmplx_0(k12_euclid(A), k3_square_1(k6_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(A), k12_euclid(A)), B), k2_xcmplx_0(1, B)))))))) ) ) ) ) ) ).
fof(t51_jgraph_4, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, B))  &  ~ ( ( ( (r1_xxreal_0(B, k7_xcmplx_0(k17_euclid(A), k12_euclid(A))) & r1_xxreal_0(k5_numbers, k18_euclid(A)))  =>  (A=k4_struct_0(k15_euclid(2)) | k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k5_jgraph_4(B), A)=k19_euclid(k3_xcmplx_0(k12_euclid(A), k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(A), k12_euclid(A)), B), k6_xcmplx_0(1, B))), k3_xcmplx_0(k12_euclid(A), k3_square_1(k6_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(A), k12_euclid(A)), B), k6_xcmplx_0(1, B)))))))) )  &  ( (r1_xxreal_0(k7_xcmplx_0(k17_euclid(A), k12_euclid(A)), B) & r1_xxreal_0(k5_numbers, k18_euclid(A)))  =>  (A=k4_struct_0(k15_euclid(2)) | k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k5_jgraph_4(B), A)=k19_euclid(k3_xcmplx_0(k12_euclid(A), k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(A), k12_euclid(A)), B), k2_xcmplx_0(1, B))), k3_xcmplx_0(k12_euclid(A), k3_square_1(k6_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(A), k12_euclid(A)), B), k2_xcmplx_0(1, B)))))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k3_topmetr))))) )  =>  ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B))) => k1_funct_1(C, D)=k3_xcmplx_0(k12_euclid(D), k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(D), k12_euclid(D)), A), k6_xcmplx_0(1, A)))) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B))) =>  (r1_xxreal_0(k5_numbers, k18_euclid(D)) &  ~ (D=k4_struct_0(k15_euclid(2))) ) ) ) ) )  =>  (r1_xxreal_0(1, A) | v5_pre_topc(C, k1_pre_topc(k15_euclid(2), B), k3_topmetr)) ) ) ) ) ) ) ) ).
fof(t53_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k3_topmetr))))) )  =>  ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B))) => k1_funct_1(C, D)=k3_xcmplx_0(k12_euclid(D), k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(D), k12_euclid(D)), A), k2_xcmplx_0(1, A)))) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B))) =>  (r1_xxreal_0(k5_numbers, k18_euclid(D)) &  ~ (D=k4_struct_0(k15_euclid(2))) ) ) ) ) )  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) | v5_pre_topc(C, k1_pre_topc(k15_euclid(2), B), k3_topmetr)) ) ) ) ) ) ) ) ).
fof(t54_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k3_topmetr))))) )  =>  ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B))) => k1_funct_1(C, D)=k3_xcmplx_0(k12_euclid(D), k3_square_1(k6_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(D), k12_euclid(D)), A), k6_xcmplx_0(1, A))))))) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B))) =>  (r1_xxreal_0(k5_numbers, k18_euclid(D)) &  (r1_xxreal_0(A, k7_xcmplx_0(k17_euclid(D), k12_euclid(D))) &  ~ (D=k4_struct_0(k15_euclid(2))) ) ) ) ) ) )  =>  (r1_xxreal_0(1, A) | v5_pre_topc(C, k1_pre_topc(k15_euclid(2), B), k3_topmetr)) ) ) ) ) ) ) ) ).
fof(t55_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k3_topmetr))))) )  =>  ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B))) => k1_funct_1(C, D)=k3_xcmplx_0(k12_euclid(D), k3_square_1(k6_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(D), k12_euclid(D)), A), k2_xcmplx_0(1, A))))))) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B))) =>  (r1_xxreal_0(k5_numbers, k18_euclid(D)) &  (r1_xxreal_0(k7_xcmplx_0(k17_euclid(D), k12_euclid(D)), A) &  ~ (D=k4_struct_0(k15_euclid(2))) ) ) ) ) ) )  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) | v5_pre_topc(C, k1_pre_topc(k15_euclid(2), B), k3_topmetr)) ) ) ) ) ) ) ) ).
fof(t66_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => k12_euclid(k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k5_jgraph_4(A), B))=k12_euclid(B)) ) ) ) ).
fof(t69_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, A))  &  (k3_subset_1(u1_struct_0(k15_euclid(2)), B)=k6_domain_1(u1_struct_0(k15_euclid(2)), k4_struct_0(k15_euclid(2))) &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), B)))))) )  =>  ~ ( (C=k2_partfun1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k5_jgraph_4(A), B) & v5_pre_topc(C, k1_pre_topc(k15_euclid(2), B), k1_pre_topc(k15_euclid(2), B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, A))  &  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( (r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), B, k5_jgraph_4(A)) & v5_pre_topc(B, k15_euclid(2), k15_euclid(2))) ) ) ) ) ) ) ) ) ).
fof(t71_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, A))  &  ~ (v2_funct_1(k5_jgraph_4(A))) ) ) ) ) ) ).
fof(t72_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, A))  &  ~ ( ( (v1_funct_1(k5_jgraph_4(A)) &  (v1_funct_2(k5_jgraph_4(A), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(k5_jgraph_4(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  & k2_relset_1(u1_struct_0(k15_euclid(2)), k5_jgraph_4(A))=u1_struct_0(k15_euclid(2))) ) ) ) ) ) ) ).
fof(t73_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, A))  &  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_compts_1(C, k15_euclid(2)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ~ ( (C=k7_relset_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k5_jgraph_4(A), C) &  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  (r2_tarski(B, D) &  (v3_pre_topc(D, k15_euclid(2)) &  (r1_tarski(D, C) & r2_tarski(k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k5_jgraph_4(A), B), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t74_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, A))  &  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( (r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), B, k5_jgraph_4(A)) & v3_tops_2(B, k15_euclid(2), k15_euclid(2))) ) ) ) ) ) ) ) ) ).
fof(t75_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r1_xxreal_0(A, k7_xcmplx_0(k17_euclid(B), k12_euclid(B))) =>  (r1_xxreal_0(1, A) |  (r1_xxreal_0(k18_euclid(B), k5_numbers) |  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (C=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k5_jgraph_4(A), B) =>  ( ~ (r1_xxreal_0(k18_euclid(C), k5_numbers))  & r1_xxreal_0(k5_numbers, k17_euclid(C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t76_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(k18_euclid(B), k5_numbers))  &  ( ~ (r1_xxreal_0(A, k7_xcmplx_0(k17_euclid(B), k12_euclid(B))))  &  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (C=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k5_jgraph_4(A), B) &  ~ ( ( ~ (r1_xxreal_0(k18_euclid(C), k5_numbers))  &  ~ (r1_xxreal_0(k5_numbers, k17_euclid(C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t77_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r1_xxreal_0(A, k7_xcmplx_0(k17_euclid(B), k12_euclid(B))) & r1_xxreal_0(A, k7_xcmplx_0(k17_euclid(C), k12_euclid(C))))  =>  (r1_xxreal_0(1, A) |  (r1_xxreal_0(k18_euclid(B), k5_numbers) |  (r1_xxreal_0(k18_euclid(C), k5_numbers) |  (r1_xxreal_0(k7_xcmplx_0(k17_euclid(C), k12_euclid(C)), k7_xcmplx_0(k17_euclid(B), k12_euclid(B))) |  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ~ ( (D=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k5_jgraph_4(A), B) &  (E=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k5_jgraph_4(A), C) & r1_xxreal_0(k7_xcmplx_0(k17_euclid(E), k12_euclid(E)), k7_xcmplx_0(k17_euclid(D), k12_euclid(D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t78_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(k18_euclid(B), k5_numbers))  &  ( ~ (r1_xxreal_0(A, k7_xcmplx_0(k17_euclid(B), k12_euclid(B))))  &  ( ~ (r1_xxreal_0(k18_euclid(C), k5_numbers))  &  ( ~ (r1_xxreal_0(A, k7_xcmplx_0(k17_euclid(C), k12_euclid(C))))  &  ( ~ (r1_xxreal_0(k7_xcmplx_0(k17_euclid(C), k12_euclid(C)), k7_xcmplx_0(k17_euclid(B), k12_euclid(B))))  &  (? [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) &  (? [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) &  (D=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k5_jgraph_4(A), B) &  (E=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k5_jgraph_4(A), C) & r1_xxreal_0(k7_xcmplx_0(k17_euclid(E), k12_euclid(E)), k7_xcmplx_0(k17_euclid(D), k12_euclid(D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t79_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, A))  &  ( ~ (r1_xxreal_0(k18_euclid(B), k5_numbers))  &  ( ~ (r1_xxreal_0(k18_euclid(C), k5_numbers))  &  ( ~ (r1_xxreal_0(k7_xcmplx_0(k17_euclid(C), k12_euclid(C)), k7_xcmplx_0(k17_euclid(B), k12_euclid(B))))  &  (? [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) &  (? [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) &  (D=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k5_jgraph_4(A), B) &  (E=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k5_jgraph_4(A), C) & r1_xxreal_0(k7_xcmplx_0(k17_euclid(E), k12_euclid(E)), k7_xcmplx_0(k17_euclid(D), k12_euclid(D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t80_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (k7_xcmplx_0(k17_euclid(B), k12_euclid(B))=A =>  (r1_xxreal_0(k18_euclid(B), k5_numbers) |  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (C=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k5_jgraph_4(A), B) =>  ( ~ (r1_xxreal_0(k18_euclid(C), k5_numbers))  & k17_euclid(C)=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t81_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) => k4_struct_0(k15_euclid(2))=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k5_jgraph_4(A), k4_struct_0(k15_euclid(2)))) ) ).
fof(d6_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (r1_xxreal_0(A, k7_xcmplx_0(k18_euclid(B), k12_euclid(B))) =>  (r1_xxreal_0(k17_euclid(B), k5_numbers) | k6_jgraph_4(A, B)=k1_rlvect_1(k15_euclid(2), k19_euclid(k3_square_1(k6_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(B), k12_euclid(B)), A), k6_xcmplx_0(1, A))))), k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(B), k12_euclid(B)), A), k6_xcmplx_0(1, A))), k12_euclid(B))) )  &  ( ~ ( ( ~ (r1_xxreal_0(A, k7_xcmplx_0(k18_euclid(B), k12_euclid(B))))  &  ( ~ (r1_xxreal_0(k17_euclid(B), k5_numbers))  &  ~ (k6_jgraph_4(A, B)=k1_rlvect_1(k15_euclid(2), k19_euclid(k3_square_1(k6_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(B), k12_euclid(B)), A), k2_xcmplx_0(1, A))))), k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(B), k12_euclid(B)), A), k2_xcmplx_0(1, A))), k12_euclid(B))) ) ) )  &  ~ ( ( ~ ( (r1_xxreal_0(A, k7_xcmplx_0(k18_euclid(B), k12_euclid(B))) &  ~ (r1_xxreal_0(k17_euclid(B), k5_numbers)) ) )  &  ( ~ ( ( ~ (r1_xxreal_0(A, k7_xcmplx_0(k18_euclid(B), k12_euclid(B))))  &  ~ (r1_xxreal_0(k17_euclid(B), k5_numbers)) ) )  &  ~ (k6_jgraph_4(A, B)=B) ) ) ) ) ) ) ) ) ) ).
fof(d7_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  (B=k7_jgraph_4(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) => k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), B, C)=k6_jgraph_4(A, C)) ) ) ) ) ) ) ).
fof(t82_jgraph_4, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_xxreal_0(B, k7_xcmplx_0(k18_euclid(A), k12_euclid(A))) =>  (r1_xxreal_0(k17_euclid(A), k5_numbers) | k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k7_jgraph_4(B), A)=k19_euclid(k3_xcmplx_0(k12_euclid(A), k3_square_1(k6_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(A), k12_euclid(A)), B), k6_xcmplx_0(1, B)))))), k3_xcmplx_0(k12_euclid(A), k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(A), k12_euclid(A)), B), k6_xcmplx_0(1, B))))) )  &  (r1_xxreal_0(k17_euclid(A), k5_numbers) => k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k7_jgraph_4(B), A)=A) ) ) ) ) ) ).
fof(t83_jgraph_4, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(k7_xcmplx_0(k18_euclid(A), k12_euclid(A)), B) =>  (r1_xxreal_0(k17_euclid(A), k5_numbers) | k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k7_jgraph_4(B), A)=k19_euclid(k3_xcmplx_0(k12_euclid(A), k3_square_1(k6_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(A), k12_euclid(A)), B), k2_xcmplx_0(1, B)))))), k3_xcmplx_0(k12_euclid(A), k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(A), k12_euclid(A)), B), k2_xcmplx_0(1, B))))) ) ) ) ) ) ).
fof(t84_jgraph_4, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, B))  &  ~ ( ( ( (r1_xxreal_0(B, k7_xcmplx_0(k18_euclid(A), k12_euclid(A))) & r1_xxreal_0(k5_numbers, k17_euclid(A)))  =>  (A=k4_struct_0(k15_euclid(2)) | k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k7_jgraph_4(B), A)=k19_euclid(k3_xcmplx_0(k12_euclid(A), k3_square_1(k6_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(A), k12_euclid(A)), B), k6_xcmplx_0(1, B)))))), k3_xcmplx_0(k12_euclid(A), k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(A), k12_euclid(A)), B), k6_xcmplx_0(1, B))))) )  &  ( (r1_xxreal_0(k7_xcmplx_0(k18_euclid(A), k12_euclid(A)), B) & r1_xxreal_0(k5_numbers, k17_euclid(A)))  =>  (A=k4_struct_0(k15_euclid(2)) | k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k7_jgraph_4(B), A)=k19_euclid(k3_xcmplx_0(k12_euclid(A), k3_square_1(k6_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(A), k12_euclid(A)), B), k2_xcmplx_0(1, B)))))), k3_xcmplx_0(k12_euclid(A), k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(A), k12_euclid(A)), B), k2_xcmplx_0(1, B))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t85_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k3_topmetr))))) )  =>  ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B))) => k1_funct_1(C, D)=k3_xcmplx_0(k12_euclid(D), k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(D), k12_euclid(D)), A), k6_xcmplx_0(1, A)))) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B))) =>  (r1_xxreal_0(k5_numbers, k17_euclid(D)) &  ~ (D=k4_struct_0(k15_euclid(2))) ) ) ) ) )  =>  (r1_xxreal_0(1, A) | v5_pre_topc(C, k1_pre_topc(k15_euclid(2), B), k3_topmetr)) ) ) ) ) ) ) ) ).
fof(t86_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k3_topmetr))))) )  =>  ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B))) => k1_funct_1(C, D)=k3_xcmplx_0(k12_euclid(D), k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(D), k12_euclid(D)), A), k2_xcmplx_0(1, A)))) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B))) =>  (r1_xxreal_0(k5_numbers, k17_euclid(D)) &  ~ (D=k4_struct_0(k15_euclid(2))) ) ) ) ) )  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) | v5_pre_topc(C, k1_pre_topc(k15_euclid(2), B), k3_topmetr)) ) ) ) ) ) ) ) ).
fof(t87_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k3_topmetr))))) )  =>  ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B))) => k1_funct_1(C, D)=k3_xcmplx_0(k12_euclid(D), k3_square_1(k6_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(D), k12_euclid(D)), A), k6_xcmplx_0(1, A))))))) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B))) =>  (r1_xxreal_0(k5_numbers, k17_euclid(D)) &  (r1_xxreal_0(A, k7_xcmplx_0(k18_euclid(D), k12_euclid(D))) &  ~ (D=k4_struct_0(k15_euclid(2))) ) ) ) ) ) )  =>  (r1_xxreal_0(1, A) | v5_pre_topc(C, k1_pre_topc(k15_euclid(2), B), k3_topmetr)) ) ) ) ) ) ) ) ).
fof(t88_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k3_topmetr))))) )  =>  ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B))) => k1_funct_1(C, D)=k3_xcmplx_0(k12_euclid(D), k3_square_1(k6_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(D), k12_euclid(D)), A), k2_xcmplx_0(1, A))))))) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B))) =>  (r1_xxreal_0(k5_numbers, k17_euclid(D)) &  (r1_xxreal_0(k7_xcmplx_0(k18_euclid(D), k12_euclid(D)), A) &  ~ (D=k4_struct_0(k15_euclid(2))) ) ) ) ) ) )  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) | v5_pre_topc(C, k1_pre_topc(k15_euclid(2), B), k3_topmetr)) ) ) ) ) ) ) ) ).
fof(t97_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => k12_euclid(k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k7_jgraph_4(A), B))=k12_euclid(B)) ) ) ) ).
fof(t100_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, A))  &  (k3_subset_1(u1_struct_0(k15_euclid(2)), B)=k6_domain_1(u1_struct_0(k15_euclid(2)), k4_struct_0(k15_euclid(2))) &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), B)))))) )  =>  ~ ( (C=k2_partfun1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k7_jgraph_4(A), B) & v5_pre_topc(C, k1_pre_topc(k15_euclid(2), B), k1_pre_topc(k15_euclid(2), B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t101_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, A))  &  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( (r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), B, k7_jgraph_4(A)) & v5_pre_topc(B, k15_euclid(2), k15_euclid(2))) ) ) ) ) ) ) ) ) ).
fof(t102_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, A))  &  ~ (v2_funct_1(k7_jgraph_4(A))) ) ) ) ) ) ).
fof(t103_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, A))  &  ~ ( ( (v1_funct_1(k7_jgraph_4(A)) &  (v1_funct_2(k7_jgraph_4(A), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(k7_jgraph_4(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  & k2_relset_1(u1_struct_0(k15_euclid(2)), k7_jgraph_4(A))=u1_struct_0(k15_euclid(2))) ) ) ) ) ) ) ).
fof(t104_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, A))  &  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_compts_1(C, k15_euclid(2)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ~ ( (C=k7_relset_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k7_jgraph_4(A), C) &  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  (r2_tarski(B, D) &  (v3_pre_topc(D, k15_euclid(2)) &  (r1_tarski(D, C) & r2_tarski(k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k7_jgraph_4(A), B), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t105_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, A))  &  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( (r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), B, k7_jgraph_4(A)) & v3_tops_2(B, k15_euclid(2), k15_euclid(2))) ) ) ) ) ) ) ) ) ).
fof(t106_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r1_xxreal_0(A, k7_xcmplx_0(k18_euclid(B), k12_euclid(B))) =>  (r1_xxreal_0(1, A) |  (r1_xxreal_0(k17_euclid(B), k5_numbers) |  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (C=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k7_jgraph_4(A), B) =>  ( ~ (r1_xxreal_0(k17_euclid(C), k5_numbers))  & r1_xxreal_0(k5_numbers, k18_euclid(C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t107_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(k17_euclid(B), k5_numbers))  &  ( ~ (r1_xxreal_0(A, k7_xcmplx_0(k18_euclid(B), k12_euclid(B))))  &  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (C=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k7_jgraph_4(A), B) &  ~ ( ( ~ (r1_xxreal_0(k17_euclid(C), k5_numbers))  &  ~ (r1_xxreal_0(k5_numbers, k18_euclid(C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t108_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r1_xxreal_0(A, k7_xcmplx_0(k18_euclid(B), k12_euclid(B))) & r1_xxreal_0(A, k7_xcmplx_0(k18_euclid(C), k12_euclid(C))))  =>  (r1_xxreal_0(1, A) |  (r1_xxreal_0(k17_euclid(B), k5_numbers) |  (r1_xxreal_0(k17_euclid(C), k5_numbers) |  (r1_xxreal_0(k7_xcmplx_0(k18_euclid(C), k12_euclid(C)), k7_xcmplx_0(k18_euclid(B), k12_euclid(B))) |  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ~ ( (D=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k7_jgraph_4(A), B) &  (E=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k7_jgraph_4(A), C) & r1_xxreal_0(k7_xcmplx_0(k18_euclid(E), k12_euclid(E)), k7_xcmplx_0(k18_euclid(D), k12_euclid(D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t109_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(k17_euclid(B), k5_numbers))  &  ( ~ (r1_xxreal_0(A, k7_xcmplx_0(k18_euclid(B), k12_euclid(B))))  &  ( ~ (r1_xxreal_0(k17_euclid(C), k5_numbers))  &  ( ~ (r1_xxreal_0(A, k7_xcmplx_0(k18_euclid(C), k12_euclid(C))))  &  ( ~ (r1_xxreal_0(k7_xcmplx_0(k18_euclid(C), k12_euclid(C)), k7_xcmplx_0(k18_euclid(B), k12_euclid(B))))  &  (? [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) &  (? [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) &  (D=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k7_jgraph_4(A), B) &  (E=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k7_jgraph_4(A), C) & r1_xxreal_0(k7_xcmplx_0(k18_euclid(E), k12_euclid(E)), k7_xcmplx_0(k18_euclid(D), k12_euclid(D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t110_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, A))  &  ( ~ (r1_xxreal_0(k17_euclid(B), k5_numbers))  &  ( ~ (r1_xxreal_0(k17_euclid(C), k5_numbers))  &  ( ~ (r1_xxreal_0(k7_xcmplx_0(k18_euclid(C), k12_euclid(C)), k7_xcmplx_0(k18_euclid(B), k12_euclid(B))))  &  (? [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) &  (? [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) &  (D=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k7_jgraph_4(A), B) &  (E=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k7_jgraph_4(A), C) & r1_xxreal_0(k7_xcmplx_0(k18_euclid(E), k12_euclid(E)), k7_xcmplx_0(k18_euclid(D), k12_euclid(D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t111_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (k7_xcmplx_0(k18_euclid(B), k12_euclid(B))=A =>  (r1_xxreal_0(k17_euclid(B), k5_numbers) |  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (C=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k7_jgraph_4(A), B) =>  ( ~ (r1_xxreal_0(k17_euclid(C), k5_numbers))  & k18_euclid(C)=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t112_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) => k4_struct_0(k15_euclid(2))=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k7_jgraph_4(A), k4_struct_0(k15_euclid(2)))) ) ).
fof(d8_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (r1_xxreal_0(A, k7_xcmplx_0(k17_euclid(B), k12_euclid(B))) =>  (r1_xxreal_0(k5_numbers, k18_euclid(B)) | k8_jgraph_4(A, B)=k1_rlvect_1(k15_euclid(2), k19_euclid(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(B), k12_euclid(B)), A), k6_xcmplx_0(1, A)), k4_xcmplx_0(k3_square_1(k6_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(B), k12_euclid(B)), A), k6_xcmplx_0(1, A))))))), k12_euclid(B))) )  &  ( ~ ( ( ~ (r1_xxreal_0(A, k7_xcmplx_0(k17_euclid(B), k12_euclid(B))))  &  ( ~ (r1_xxreal_0(k5_numbers, k18_euclid(B)))  &  ~ (k8_jgraph_4(A, B)=k1_rlvect_1(k15_euclid(2), k19_euclid(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(B), k12_euclid(B)), A), k2_xcmplx_0(1, A)), k4_xcmplx_0(k3_square_1(k6_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(B), k12_euclid(B)), A), k2_xcmplx_0(1, A))))))), k12_euclid(B))) ) ) )  &  ~ ( ( ~ ( (r1_xxreal_0(A, k7_xcmplx_0(k17_euclid(B), k12_euclid(B))) &  ~ (r1_xxreal_0(k5_numbers, k18_euclid(B))) ) )  &  ( ~ ( ( ~ (r1_xxreal_0(A, k7_xcmplx_0(k17_euclid(B), k12_euclid(B))))  &  ~ (r1_xxreal_0(k5_numbers, k18_euclid(B))) ) )  &  ~ (k8_jgraph_4(A, B)=B) ) ) ) ) ) ) ) ) ) ).
fof(d9_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  (B=k9_jgraph_4(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) => k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), B, C)=k8_jgraph_4(A, C)) ) ) ) ) ) ) ).
fof(t113_jgraph_4, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_xxreal_0(B, k7_xcmplx_0(k17_euclid(A), k12_euclid(A))) =>  (r1_xxreal_0(k5_numbers, k18_euclid(A)) | k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k9_jgraph_4(B), A)=k19_euclid(k3_xcmplx_0(k12_euclid(A), k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(A), k12_euclid(A)), B), k6_xcmplx_0(1, B))), k3_xcmplx_0(k12_euclid(A), k4_xcmplx_0(k3_square_1(k6_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(A), k12_euclid(A)), B), k6_xcmplx_0(1, B))))))))) )  &  (r1_xxreal_0(k5_numbers, k18_euclid(A)) => k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k9_jgraph_4(B), A)=A) ) ) ) ) ) ).
fof(t114_jgraph_4, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(k7_xcmplx_0(k17_euclid(A), k12_euclid(A)), B) =>  (r1_xxreal_0(k5_numbers, k18_euclid(A)) | k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k9_jgraph_4(B), A)=k19_euclid(k3_xcmplx_0(k12_euclid(A), k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(A), k12_euclid(A)), B), k2_xcmplx_0(1, B))), k3_xcmplx_0(k12_euclid(A), k4_xcmplx_0(k3_square_1(k6_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(A), k12_euclid(A)), B), k2_xcmplx_0(1, B))))))))) ) ) ) ) ) ).
fof(t115_jgraph_4, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, B))  &  ~ ( ( ( (r1_xxreal_0(B, k7_xcmplx_0(k17_euclid(A), k12_euclid(A))) & r1_xxreal_0(k18_euclid(A), k5_numbers))  =>  (A=k4_struct_0(k15_euclid(2)) | k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k9_jgraph_4(B), A)=k19_euclid(k3_xcmplx_0(k12_euclid(A), k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(A), k12_euclid(A)), B), k6_xcmplx_0(1, B))), k3_xcmplx_0(k12_euclid(A), k4_xcmplx_0(k3_square_1(k6_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(A), k12_euclid(A)), B), k6_xcmplx_0(1, B))))))))) )  &  ( (r1_xxreal_0(k7_xcmplx_0(k17_euclid(A), k12_euclid(A)), B) & r1_xxreal_0(k18_euclid(A), k5_numbers))  =>  (A=k4_struct_0(k15_euclid(2)) | k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k9_jgraph_4(B), A)=k19_euclid(k3_xcmplx_0(k12_euclid(A), k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(A), k12_euclid(A)), B), k2_xcmplx_0(1, B))), k3_xcmplx_0(k12_euclid(A), k4_xcmplx_0(k3_square_1(k6_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(A), k12_euclid(A)), B), k2_xcmplx_0(1, B))))))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t116_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k3_topmetr))))) )  =>  ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B))) => k1_funct_1(C, D)=k3_xcmplx_0(k12_euclid(D), k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(D), k12_euclid(D)), A), k6_xcmplx_0(1, A)))) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B))) =>  (r1_xxreal_0(k18_euclid(D), k5_numbers) &  ~ (D=k4_struct_0(k15_euclid(2))) ) ) ) ) )  =>  (r1_xxreal_0(1, A) | v5_pre_topc(C, k1_pre_topc(k15_euclid(2), B), k3_topmetr)) ) ) ) ) ) ) ) ).
fof(t117_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k3_topmetr))))) )  =>  ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B))) => k1_funct_1(C, D)=k3_xcmplx_0(k12_euclid(D), k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(D), k12_euclid(D)), A), k2_xcmplx_0(1, A)))) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B))) =>  (r1_xxreal_0(k18_euclid(D), k5_numbers) &  ~ (D=k4_struct_0(k15_euclid(2))) ) ) ) ) )  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) | v5_pre_topc(C, k1_pre_topc(k15_euclid(2), B), k3_topmetr)) ) ) ) ) ) ) ) ).
fof(t118_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k3_topmetr))))) )  =>  ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B))) => k1_funct_1(C, D)=k3_xcmplx_0(k12_euclid(D), k4_xcmplx_0(k3_square_1(k6_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(D), k12_euclid(D)), A), k6_xcmplx_0(1, A)))))))) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B))) =>  (r1_xxreal_0(k18_euclid(D), k5_numbers) &  (r1_xxreal_0(A, k7_xcmplx_0(k17_euclid(D), k12_euclid(D))) &  ~ (D=k4_struct_0(k15_euclid(2))) ) ) ) ) ) )  =>  (r1_xxreal_0(1, A) | v5_pre_topc(C, k1_pre_topc(k15_euclid(2), B), k3_topmetr)) ) ) ) ) ) ) ) ).
fof(t119_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k3_topmetr))))) )  =>  ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B))) => k1_funct_1(C, D)=k3_xcmplx_0(k12_euclid(D), k4_xcmplx_0(k3_square_1(k6_xcmplx_0(1, k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(D), k12_euclid(D)), A), k2_xcmplx_0(1, A)))))))) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B))) =>  (r1_xxreal_0(k18_euclid(D), k5_numbers) &  (r1_xxreal_0(k7_xcmplx_0(k17_euclid(D), k12_euclid(D)), A) &  ~ (D=k4_struct_0(k15_euclid(2))) ) ) ) ) ) )  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) | v5_pre_topc(C, k1_pre_topc(k15_euclid(2), B), k3_topmetr)) ) ) ) ) ) ) ) ).
fof(t128_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => k12_euclid(k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k9_jgraph_4(A), B))=k12_euclid(B)) ) ) ) ).
fof(t131_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, A))  &  (k3_subset_1(u1_struct_0(k15_euclid(2)), B)=k6_domain_1(u1_struct_0(k15_euclid(2)), k4_struct_0(k15_euclid(2))) &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), B)))))) )  =>  ~ ( (C=k2_partfun1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k9_jgraph_4(A), B) & v5_pre_topc(C, k1_pre_topc(k15_euclid(2), B), k1_pre_topc(k15_euclid(2), B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t132_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, A))  &  ~ (v5_pre_topc(k9_jgraph_4(A), k15_euclid(2), k15_euclid(2))) ) ) ) ) ) ).
fof(t133_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, A))  &  ~ (v2_funct_1(k9_jgraph_4(A))) ) ) ) ) ) ).
fof(t134_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, A))  &  ~ ( ( (v1_funct_1(k9_jgraph_4(A)) &  (v1_funct_2(k9_jgraph_4(A), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(k9_jgraph_4(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  & k2_relset_1(u1_struct_0(k15_euclid(2)), k9_jgraph_4(A))=u1_struct_0(k15_euclid(2))) ) ) ) ) ) ) ).
fof(t135_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, A))  &  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_compts_1(C, k15_euclid(2)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ~ ( (C=k7_relset_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k9_jgraph_4(A), C) &  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  (r2_tarski(B, D) &  (v3_pre_topc(D, k15_euclid(2)) &  (r1_tarski(D, C) & r2_tarski(k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k9_jgraph_4(A), B), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t136_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, A))  &  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( (r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), B, k9_jgraph_4(A)) & v3_tops_2(B, k15_euclid(2), k15_euclid(2))) ) ) ) ) ) ) ) ) ).
fof(t137_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r1_xxreal_0(A, k7_xcmplx_0(k17_euclid(B), k12_euclid(B))) =>  (r1_xxreal_0(1, A) |  (r1_xxreal_0(k5_numbers, k18_euclid(B)) |  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (C=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k9_jgraph_4(A), B) =>  ( ~ (r1_xxreal_0(k5_numbers, k18_euclid(C)))  & r1_xxreal_0(k5_numbers, k17_euclid(C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t138_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(k5_numbers, k18_euclid(B)))  &  ( ~ (r1_xxreal_0(A, k7_xcmplx_0(k17_euclid(B), k12_euclid(B))))  &  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (C=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k9_jgraph_4(A), B) &  ~ ( ( ~ (r1_xxreal_0(k5_numbers, k18_euclid(C)))  &  ~ (r1_xxreal_0(k5_numbers, k17_euclid(C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t139_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r1_xxreal_0(A, k7_xcmplx_0(k17_euclid(B), k12_euclid(B))) & r1_xxreal_0(A, k7_xcmplx_0(k17_euclid(C), k12_euclid(C))))  =>  (r1_xxreal_0(1, A) |  (r1_xxreal_0(k5_numbers, k18_euclid(B)) |  (r1_xxreal_0(k5_numbers, k18_euclid(C)) |  (r1_xxreal_0(k7_xcmplx_0(k17_euclid(C), k12_euclid(C)), k7_xcmplx_0(k17_euclid(B), k12_euclid(B))) |  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ~ ( (D=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k9_jgraph_4(A), B) &  (E=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k9_jgraph_4(A), C) & r1_xxreal_0(k7_xcmplx_0(k17_euclid(E), k12_euclid(E)), k7_xcmplx_0(k17_euclid(D), k12_euclid(D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t140_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(k5_numbers, k18_euclid(B)))  &  ( ~ (r1_xxreal_0(A, k7_xcmplx_0(k17_euclid(B), k12_euclid(B))))  &  ( ~ (r1_xxreal_0(k5_numbers, k18_euclid(C)))  &  ( ~ (r1_xxreal_0(A, k7_xcmplx_0(k17_euclid(C), k12_euclid(C))))  &  ( ~ (r1_xxreal_0(k7_xcmplx_0(k17_euclid(C), k12_euclid(C)), k7_xcmplx_0(k17_euclid(B), k12_euclid(B))))  &  (? [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) &  (? [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) &  (D=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k9_jgraph_4(A), B) &  (E=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k9_jgraph_4(A), C) & r1_xxreal_0(k7_xcmplx_0(k17_euclid(E), k12_euclid(E)), k7_xcmplx_0(k17_euclid(D), k12_euclid(D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t141_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, A))  &  ( ~ (r1_xxreal_0(k5_numbers, k18_euclid(B)))  &  ( ~ (r1_xxreal_0(k5_numbers, k18_euclid(C)))  &  ( ~ (r1_xxreal_0(k7_xcmplx_0(k17_euclid(C), k12_euclid(C)), k7_xcmplx_0(k17_euclid(B), k12_euclid(B))))  &  (? [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) &  (? [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) &  (D=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k9_jgraph_4(A), B) &  (E=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k9_jgraph_4(A), C) & r1_xxreal_0(k7_xcmplx_0(k17_euclid(E), k12_euclid(E)), k7_xcmplx_0(k17_euclid(D), k12_euclid(D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t142_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (k7_xcmplx_0(k17_euclid(B), k12_euclid(B))=A =>  (r1_xxreal_0(k5_numbers, k18_euclid(B)) |  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (C=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k9_jgraph_4(A), B) =>  ( ~ (r1_xxreal_0(k5_numbers, k18_euclid(C)))  & k17_euclid(C)=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t143_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) => k4_struct_0(k15_euclid(2))=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k9_jgraph_4(A), k4_struct_0(k15_euclid(2)))) ) ).
fof(dt_k1_jgraph_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_funct_1(k1_jgraph_4(A)) &  (v1_funct_2(k1_jgraph_4(A), u1_struct_0(k15_euclid(A)), u1_struct_0(k3_topmetr)) & m1_subset_1(k1_jgraph_4(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k3_topmetr))))) ) ) ) ).
fof(dt_k2_jgraph_4, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & m1_subset_1(B, u1_struct_0(k15_euclid(2))))  => m1_subset_1(k2_jgraph_4(A, B), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k3_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_funct_1(k3_jgraph_4(A)) &  (v1_funct_2(k3_jgraph_4(A), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(k3_jgraph_4(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) ) ) ) ).
fof(dt_f1_s1_jgraph_4, axiom,  ( ~ (v1_xboole_0(f1_s1_jgraph_4))  & m1_subset_1(f1_s1_jgraph_4, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ).
fof(dt_k4_jgraph_4, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & m1_subset_1(B, u1_struct_0(k15_euclid(2))))  => m1_subset_1(k4_jgraph_4(A, B), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k5_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_funct_1(k5_jgraph_4(A)) &  (v1_funct_2(k5_jgraph_4(A), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(k5_jgraph_4(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) ) ) ) ).
fof(dt_k6_jgraph_4, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & m1_subset_1(B, u1_struct_0(k15_euclid(2))))  => m1_subset_1(k6_jgraph_4(A, B), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k7_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_funct_1(k7_jgraph_4(A)) &  (v1_funct_2(k7_jgraph_4(A), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(k7_jgraph_4(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) ) ) ) ).
fof(dt_k8_jgraph_4, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & m1_subset_1(B, u1_struct_0(k15_euclid(2))))  => m1_subset_1(k8_jgraph_4(A, B), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k9_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_funct_1(k9_jgraph_4(A)) &  (v1_funct_2(k9_jgraph_4(A), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(k9_jgraph_4(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) ) ) ) ).
fof(t1_jgraph_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (v1_xreal_0(D) =>  ( (v5_pre_topc(B, A, k3_topmetr) & C=a_3_0_jgraph_4(A, B, D))  => v3_pre_topc(C, A)) ) ) ) ) ) ) ) ) ).
fof(t2_jgraph_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (v1_xreal_0(D) =>  ( (v5_pre_topc(B, A, k3_topmetr) & C=a_3_1_jgraph_4(A, B, D))  => v3_pre_topc(C, A)) ) ) ) ) ) ) ) ) ).
fof(t23_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), C))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), C)))))) )  =>  ( (D=k2_partfun1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k3_jgraph_4(A), B) &  (C=a_0_0_jgraph_4 & B=a_1_0_jgraph_4(A)) )  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) | v5_pre_topc(D, k1_pre_topc(k15_euclid(2), B), k1_pre_topc(k15_euclid(2), C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), C))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), C)))))) )  =>  ( (D=k2_partfun1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k3_jgraph_4(A), B) &  (C=a_0_0_jgraph_4 & B=a_1_1_jgraph_4(A)) )  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) | v5_pre_topc(D, k1_pre_topc(k15_euclid(2), B), k1_pre_topc(k15_euclid(2), C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (B=a_1_2_jgraph_4(A) => v4_pre_topc(B, k15_euclid(2))) ) ) ) ) ).
fof(t26_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (B=a_1_3_jgraph_4(A) => v4_pre_topc(B, k15_euclid(2))) ) ) ) ) ).
fof(t27_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), C))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), C)))))) )  =>  ( (D=k2_partfun1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k3_jgraph_4(A), B) &  (C=k8_struct_0(k15_euclid(2)) & B=a_0_0_jgraph_4) )  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) | v5_pre_topc(D, k1_pre_topc(k15_euclid(2), B), k1_pre_topc(k15_euclid(2), C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), C))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), C)))))) )  =>  ( (D=k2_partfun1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k3_jgraph_4(A), B) &  (C=k8_struct_0(k15_euclid(2)) & B=a_0_1_jgraph_4) )  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) | v5_pre_topc(D, k1_pre_topc(k15_euclid(2), B), k1_pre_topc(k15_euclid(2), C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_jgraph_4, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)))) =>  ( (A=k8_struct_0(k15_euclid(2)) & B=a_0_0_jgraph_4)  => v4_pre_topc(B, k1_pre_topc(k15_euclid(2), A))) ) ) ) ) ).
fof(t30_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2), B), C)), u1_struct_0(k1_pre_topc(k15_euclid(2), B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2), B), C)), u1_struct_0(k1_pre_topc(k15_euclid(2), B)))))) )  =>  ( (D=k2_partfun1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k3_jgraph_4(A), C) &  (B=k8_struct_0(k15_euclid(2)) & C=a_0_0_jgraph_4) )  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) | v5_pre_topc(D, k1_pre_topc(k1_pre_topc(k15_euclid(2), B), C), k1_pre_topc(k15_euclid(2), B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_jgraph_4, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)))) =>  ( (A=k8_struct_0(k15_euclid(2)) & B=a_0_1_jgraph_4)  => v4_pre_topc(B, k1_pre_topc(k15_euclid(2), A))) ) ) ) ) ).
fof(t32_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2), B), C)), u1_struct_0(k1_pre_topc(k15_euclid(2), B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2), B), C)), u1_struct_0(k1_pre_topc(k15_euclid(2), B)))))) )  =>  ( (D=k2_partfun1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k3_jgraph_4(A), C) &  (B=k8_struct_0(k15_euclid(2)) & C=a_0_1_jgraph_4) )  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) | v5_pre_topc(D, k1_pre_topc(k1_pre_topc(k15_euclid(2), B), C), k1_pre_topc(k15_euclid(2), B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (! [C] :  ( (r2_tarski(B, C) & C=a_0_0_jgraph_4)  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) | r2_tarski(k1_funct_1(k3_jgraph_4(A), B), C)) ) ) ) ) ) ) ).
fof(t35_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (! [C] :  ( (r2_tarski(B, C) & C=a_0_1_jgraph_4)  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) | r2_tarski(k1_funct_1(k3_jgraph_4(A), B), C)) ) ) ) ) ) ) ).
fof(t56_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), C))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), C)))))) )  =>  ( (D=k2_partfun1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k5_jgraph_4(A), B) &  (C=a_0_2_jgraph_4 & B=a_1_4_jgraph_4(A)) )  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) | v5_pre_topc(D, k1_pre_topc(k15_euclid(2), B), k1_pre_topc(k15_euclid(2), C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), C))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), C)))))) )  =>  ( (D=k2_partfun1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k5_jgraph_4(A), B) &  (C=a_0_2_jgraph_4 & B=a_1_5_jgraph_4(A)) )  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) | v5_pre_topc(D, k1_pre_topc(k15_euclid(2), B), k1_pre_topc(k15_euclid(2), C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (B=a_1_6_jgraph_4(A) => v4_pre_topc(B, k15_euclid(2))) ) ) ) ) ).
fof(t59_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (B=a_1_7_jgraph_4(A) => v4_pre_topc(B, k15_euclid(2))) ) ) ) ) ).
fof(t60_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), C))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), C)))))) )  =>  ( (D=k2_partfun1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k5_jgraph_4(A), B) &  (C=k8_struct_0(k15_euclid(2)) & B=a_0_2_jgraph_4) )  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) | v5_pre_topc(D, k1_pre_topc(k15_euclid(2), B), k1_pre_topc(k15_euclid(2), C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), C))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), C)))))) )  =>  ( (D=k2_partfun1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k5_jgraph_4(A), B) &  (C=k8_struct_0(k15_euclid(2)) & B=a_0_3_jgraph_4) )  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) | v5_pre_topc(D, k1_pre_topc(k15_euclid(2), B), k1_pre_topc(k15_euclid(2), C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_jgraph_4, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)))) =>  ( (A=k8_struct_0(k15_euclid(2)) & B=a_0_2_jgraph_4)  => v4_pre_topc(B, k1_pre_topc(k15_euclid(2), A))) ) ) ) ) ).
fof(t63_jgraph_4, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)))) =>  ( (A=k8_struct_0(k15_euclid(2)) & B=a_0_3_jgraph_4)  => v4_pre_topc(B, k1_pre_topc(k15_euclid(2), A))) ) ) ) ) ).
fof(t64_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2), B), C)), u1_struct_0(k1_pre_topc(k15_euclid(2), B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2), B), C)), u1_struct_0(k1_pre_topc(k15_euclid(2), B)))))) )  =>  ( (D=k2_partfun1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k5_jgraph_4(A), C) &  (B=k8_struct_0(k15_euclid(2)) & C=a_0_2_jgraph_4) )  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) | v5_pre_topc(D, k1_pre_topc(k1_pre_topc(k15_euclid(2), B), C), k1_pre_topc(k15_euclid(2), B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2), B), C)), u1_struct_0(k1_pre_topc(k15_euclid(2), B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2), B), C)), u1_struct_0(k1_pre_topc(k15_euclid(2), B)))))) )  =>  ( (D=k2_partfun1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k5_jgraph_4(A), C) &  (B=k8_struct_0(k15_euclid(2)) & C=a_0_3_jgraph_4) )  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) | v5_pre_topc(D, k1_pre_topc(k1_pre_topc(k15_euclid(2), B), C), k1_pre_topc(k15_euclid(2), B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (! [C] :  ( (r2_tarski(B, C) & C=a_0_2_jgraph_4)  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) | r2_tarski(k1_funct_1(k5_jgraph_4(A), B), C)) ) ) ) ) ) ) ).
fof(t68_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (! [C] :  ( (r2_tarski(B, C) & C=a_0_3_jgraph_4)  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) | r2_tarski(k1_funct_1(k5_jgraph_4(A), B), C)) ) ) ) ) ) ) ).
fof(t89_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), C))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), C)))))) )  =>  ( (D=k2_partfun1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k7_jgraph_4(A), B) &  (C=a_0_1_jgraph_4 & B=a_1_8_jgraph_4(A)) )  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) | v5_pre_topc(D, k1_pre_topc(k15_euclid(2), B), k1_pre_topc(k15_euclid(2), C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t90_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), C))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), C)))))) )  =>  ( (D=k2_partfun1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k7_jgraph_4(A), B) &  (C=a_0_1_jgraph_4 & B=a_1_9_jgraph_4(A)) )  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) | v5_pre_topc(D, k1_pre_topc(k15_euclid(2), B), k1_pre_topc(k15_euclid(2), C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t91_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (B=a_1_10_jgraph_4(A) => v4_pre_topc(B, k15_euclid(2))) ) ) ) ) ).
fof(t92_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (B=a_1_11_jgraph_4(A) => v4_pre_topc(B, k15_euclid(2))) ) ) ) ) ).
fof(t93_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), C))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), C)))))) )  =>  ( (D=k2_partfun1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k7_jgraph_4(A), B) &  (C=k8_struct_0(k15_euclid(2)) & B=a_0_1_jgraph_4) )  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) | v5_pre_topc(D, k1_pre_topc(k15_euclid(2), B), k1_pre_topc(k15_euclid(2), C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t94_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), C))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), C)))))) )  =>  ( (D=k2_partfun1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k7_jgraph_4(A), B) &  (C=k8_struct_0(k15_euclid(2)) & B=a_0_0_jgraph_4) )  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) | v5_pre_topc(D, k1_pre_topc(k15_euclid(2), B), k1_pre_topc(k15_euclid(2), C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t95_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2), B), C)), u1_struct_0(k1_pre_topc(k15_euclid(2), B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2), B), C)), u1_struct_0(k1_pre_topc(k15_euclid(2), B)))))) )  =>  ( (D=k2_partfun1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k7_jgraph_4(A), C) &  (B=k8_struct_0(k15_euclid(2)) & C=a_0_1_jgraph_4) )  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) | v5_pre_topc(D, k1_pre_topc(k1_pre_topc(k15_euclid(2), B), C), k1_pre_topc(k15_euclid(2), B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t96_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2), B), C)), u1_struct_0(k1_pre_topc(k15_euclid(2), B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2), B), C)), u1_struct_0(k1_pre_topc(k15_euclid(2), B)))))) )  =>  ( (D=k2_partfun1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k7_jgraph_4(A), C) &  (B=k8_struct_0(k15_euclid(2)) & C=a_0_0_jgraph_4) )  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) | v5_pre_topc(D, k1_pre_topc(k1_pre_topc(k15_euclid(2), B), C), k1_pre_topc(k15_euclid(2), B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t98_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (! [C] :  ( (r2_tarski(B, C) & C=a_0_1_jgraph_4)  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) | r2_tarski(k1_funct_1(k7_jgraph_4(A), B), C)) ) ) ) ) ) ) ).
fof(t99_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (! [C] :  ( (r2_tarski(B, C) & C=a_0_0_jgraph_4)  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) | r2_tarski(k1_funct_1(k7_jgraph_4(A), B), C)) ) ) ) ) ) ) ).
fof(t120_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), C))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), C)))))) )  =>  ( (D=k2_partfun1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k9_jgraph_4(A), B) &  (C=a_0_3_jgraph_4 & B=a_1_12_jgraph_4(A)) )  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) | v5_pre_topc(D, k1_pre_topc(k15_euclid(2), B), k1_pre_topc(k15_euclid(2), C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t121_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), C))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), C)))))) )  =>  ( (D=k2_partfun1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k9_jgraph_4(A), B) &  (C=a_0_3_jgraph_4 & B=a_1_13_jgraph_4(A)) )  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) | v5_pre_topc(D, k1_pre_topc(k15_euclid(2), B), k1_pre_topc(k15_euclid(2), C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t122_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (B=a_1_14_jgraph_4(A) => v4_pre_topc(B, k15_euclid(2))) ) ) ) ) ).
fof(t123_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (B=a_1_15_jgraph_4(A) => v4_pre_topc(B, k15_euclid(2))) ) ) ) ) ).
fof(t124_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), C))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), C)))))) )  =>  ( (D=k2_partfun1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k9_jgraph_4(A), B) &  (C=k8_struct_0(k15_euclid(2)) & B=a_0_3_jgraph_4) )  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) | v5_pre_topc(D, k1_pre_topc(k15_euclid(2), B), k1_pre_topc(k15_euclid(2), C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t125_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), C))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)), u1_struct_0(k1_pre_topc(k15_euclid(2), C)))))) )  =>  ( (D=k2_partfun1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k9_jgraph_4(A), B) &  (C=k8_struct_0(k15_euclid(2)) & B=a_0_2_jgraph_4) )  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) | v5_pre_topc(D, k1_pre_topc(k15_euclid(2), B), k1_pre_topc(k15_euclid(2), C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t126_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2), B), C)), u1_struct_0(k1_pre_topc(k15_euclid(2), B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2), B), C)), u1_struct_0(k1_pre_topc(k15_euclid(2), B)))))) )  =>  ( (D=k2_partfun1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k9_jgraph_4(A), C) &  (B=k8_struct_0(k15_euclid(2)) & C=a_0_3_jgraph_4) )  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) | v5_pre_topc(D, k1_pre_topc(k1_pre_topc(k15_euclid(2), B), C), k1_pre_topc(k15_euclid(2), B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t127_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), B)))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2), B), C)), u1_struct_0(k1_pre_topc(k15_euclid(2), B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2), B), C)), u1_struct_0(k1_pre_topc(k15_euclid(2), B)))))) )  =>  ( (D=k2_partfun1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k9_jgraph_4(A), C) &  (B=k8_struct_0(k15_euclid(2)) & C=a_0_2_jgraph_4) )  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) | v5_pre_topc(D, k1_pre_topc(k1_pre_topc(k15_euclid(2), B), C), k1_pre_topc(k15_euclid(2), B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t129_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (! [C] :  ( (r2_tarski(B, C) & C=a_0_3_jgraph_4)  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) | r2_tarski(k1_funct_1(k9_jgraph_4(A), B), C)) ) ) ) ) ) ) ).
fof(t130_jgraph_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (! [C] :  ( (r2_tarski(B, C) & C=a_0_2_jgraph_4)  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) | r2_tarski(k1_funct_1(k9_jgraph_4(A), B), C)) ) ) ) ) ) ) ).
fof(s1_jgraph_4, axiom,  (f1_s1_jgraph_4=k8_struct_0(k15_euclid(2)) => r1_tarski(a_0_4_jgraph_4, u1_struct_0(k1_pre_topc(k15_euclid(2), f1_s1_jgraph_4)))) ).
fof(fraenkel_a_3_0_jgraph_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  & l1_pre_topc(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(k3_topmetr))))) )  & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_0_jgraph_4(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E &  ~ (r1_xxreal_0(k7_partfun1(u1_struct_0(k3_topmetr), C, E), D)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_jgraph_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  & l1_pre_topc(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(k3_topmetr))))) )  & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_1_jgraph_4(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E &  ~ (r1_xxreal_0(D, k7_partfun1(u1_struct_0(k3_topmetr), C, E))) ) ) ) ) ) ) ).
fof(fraenkel_a_0_0_jgraph_4, axiom,  (! [A] :  (r2_hidden(A, a_0_0_jgraph_4) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B &  (r1_xxreal_0(k17_euclid(B), k5_numbers) &  ~ (B=k4_struct_0(k15_euclid(2))) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_jgraph_4, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_0_jgraph_4(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (A=C &  (r1_xxreal_0(B, k7_xcmplx_0(k18_euclid(C), k12_euclid(C))) &  (r1_xxreal_0(k17_euclid(C), k5_numbers) &  ~ (C=k4_struct_0(k15_euclid(2))) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_1_jgraph_4, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_1_jgraph_4(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (A=C &  (r1_xxreal_0(k7_xcmplx_0(k18_euclid(C), k12_euclid(C)), B) &  (r1_xxreal_0(k17_euclid(C), k5_numbers) &  ~ (C=k4_struct_0(k15_euclid(2))) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_2_jgraph_4, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_2_jgraph_4(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (A=C &  (r1_xxreal_0(k3_xcmplx_0(B, k12_euclid(C)), k18_euclid(C)) & r1_xxreal_0(k17_euclid(C), k5_numbers)) ) ) ) ) ) ) ).
fof(fraenkel_a_1_3_jgraph_4, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_3_jgraph_4(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (A=C &  (r1_xxreal_0(k18_euclid(C), k3_xcmplx_0(B, k12_euclid(C))) & r1_xxreal_0(k17_euclid(C), k5_numbers)) ) ) ) ) ) ) ).
fof(fraenkel_a_0_1_jgraph_4, axiom,  (! [A] :  (r2_hidden(A, a_0_1_jgraph_4) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B &  (r1_xxreal_0(k5_numbers, k17_euclid(B)) &  ~ (B=k4_struct_0(k15_euclid(2))) ) ) ) ) ) ) ).
fof(fraenkel_a_0_2_jgraph_4, axiom,  (! [A] :  (r2_hidden(A, a_0_2_jgraph_4) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B &  (r1_xxreal_0(k5_numbers, k18_euclid(B)) &  ~ (B=k4_struct_0(k15_euclid(2))) ) ) ) ) ) ) ).
fof(fraenkel_a_1_4_jgraph_4, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_4_jgraph_4(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (A=C &  (r1_xxreal_0(B, k7_xcmplx_0(k17_euclid(C), k12_euclid(C))) &  (r1_xxreal_0(k5_numbers, k18_euclid(C)) &  ~ (C=k4_struct_0(k15_euclid(2))) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_5_jgraph_4, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_5_jgraph_4(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (A=C &  (r1_xxreal_0(k7_xcmplx_0(k17_euclid(C), k12_euclid(C)), B) &  (r1_xxreal_0(k5_numbers, k18_euclid(C)) &  ~ (C=k4_struct_0(k15_euclid(2))) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_6_jgraph_4, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_6_jgraph_4(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (A=C &  (r1_xxreal_0(k3_xcmplx_0(B, k12_euclid(C)), k17_euclid(C)) & r1_xxreal_0(k5_numbers, k18_euclid(C))) ) ) ) ) ) ) ).
fof(fraenkel_a_1_7_jgraph_4, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_7_jgraph_4(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (A=C &  (r1_xxreal_0(k17_euclid(C), k3_xcmplx_0(B, k12_euclid(C))) & r1_xxreal_0(k5_numbers, k18_euclid(C))) ) ) ) ) ) ) ).
fof(fraenkel_a_0_3_jgraph_4, axiom,  (! [A] :  (r2_hidden(A, a_0_3_jgraph_4) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B &  (r1_xxreal_0(k18_euclid(B), k5_numbers) &  ~ (B=k4_struct_0(k15_euclid(2))) ) ) ) ) ) ) ).
fof(fraenkel_a_1_8_jgraph_4, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_8_jgraph_4(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (A=C &  (r1_xxreal_0(B, k7_xcmplx_0(k18_euclid(C), k12_euclid(C))) &  (r1_xxreal_0(k5_numbers, k17_euclid(C)) &  ~ (C=k4_struct_0(k15_euclid(2))) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_9_jgraph_4, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_9_jgraph_4(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (A=C &  (r1_xxreal_0(k7_xcmplx_0(k18_euclid(C), k12_euclid(C)), B) &  (r1_xxreal_0(k5_numbers, k17_euclid(C)) &  ~ (C=k4_struct_0(k15_euclid(2))) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_10_jgraph_4, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_10_jgraph_4(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (A=C &  (r1_xxreal_0(k3_xcmplx_0(B, k12_euclid(C)), k18_euclid(C)) & r1_xxreal_0(k5_numbers, k17_euclid(C))) ) ) ) ) ) ) ).
fof(fraenkel_a_1_11_jgraph_4, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_11_jgraph_4(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (A=C &  (r1_xxreal_0(k18_euclid(C), k3_xcmplx_0(B, k12_euclid(C))) & r1_xxreal_0(k5_numbers, k17_euclid(C))) ) ) ) ) ) ) ).
fof(fraenkel_a_1_12_jgraph_4, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_12_jgraph_4(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (A=C &  (r1_xxreal_0(B, k7_xcmplx_0(k17_euclid(C), k12_euclid(C))) &  (r1_xxreal_0(k18_euclid(C), k5_numbers) &  ~ (C=k4_struct_0(k15_euclid(2))) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_13_jgraph_4, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_13_jgraph_4(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (A=C &  (r1_xxreal_0(k7_xcmplx_0(k17_euclid(C), k12_euclid(C)), B) &  (r1_xxreal_0(k18_euclid(C), k5_numbers) &  ~ (C=k4_struct_0(k15_euclid(2))) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_14_jgraph_4, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_14_jgraph_4(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (A=C &  (r1_xxreal_0(k3_xcmplx_0(B, k12_euclid(C)), k17_euclid(C)) & r1_xxreal_0(k18_euclid(C), k5_numbers)) ) ) ) ) ) ) ).
fof(fraenkel_a_1_15_jgraph_4, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_15_jgraph_4(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (A=C &  (r1_xxreal_0(k17_euclid(C), k3_xcmplx_0(B, k12_euclid(C))) & r1_xxreal_0(k18_euclid(C), k5_numbers)) ) ) ) ) ) ) ).
fof(fraenkel_a_0_4_jgraph_4, axiom,  (! [A] :  (r2_hidden(A, a_0_4_jgraph_4) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B &  (p1_s1_jgraph_4(B) &  ~ (B=k4_struct_0(k15_euclid(2))) ) ) ) ) ) ) ).
fof(t1_jgraph_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (r1_xxreal_0(k12_euclid(A), 1) =>  (r1_xxreal_0(k4_xcmplx_0(1), k17_euclid(A)) &  (r1_xxreal_0(k17_euclid(A), 1) &  (r1_xxreal_0(k4_xcmplx_0(1), k18_euclid(A)) & r1_xxreal_0(k18_euclid(A), 1)) ) ) ) ) ) ).
fof(t2_jgraph_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (r1_xxreal_0(k12_euclid(A), 1) =>  (k17_euclid(A)=k5_numbers |  (k18_euclid(A)=k5_numbers |  ( ~ (r1_xxreal_0(k17_euclid(A), k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, k17_euclid(A)))  &  ( ~ (r1_xxreal_0(k18_euclid(A), k4_xcmplx_0(1)))  &  ~ (r1_xxreal_0(1, k18_euclid(A))) ) ) ) ) ) ) ) ) ).
fof(t3_jgraph_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  & l1_metric_1(F))  =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_metric_1(G))  =>  (! [H] :  (m1_subset_1(H, u1_struct_0(F)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(G)) =>  ( (r1_xxreal_0(C, A) &  (r1_xxreal_0(A, B) &  (r1_xxreal_0(B, D) &  (F=k2_topmetr(A, B) &  (G=k2_topmetr(C, D) & H=I) ) ) ) )  => r1_tarski(k8_metric_1(F, H, E), k8_metric_1(G, I, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_jgraph_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k5_topmetr))) =>  ( (r1_xxreal_0(k5_numbers, A) &  (r1_xxreal_0(A, B) &  (r1_xxreal_0(B, 1) & C=k1_rcomp_1(A, B)) ) )  => k4_topmetr(A, B)=k1_pre_topc(k5_topmetr, C)) ) ) ) ) ) ) ).
fof(t5_jgraph_5, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_pre_topc(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_pre_topc(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  ( (v3_tops_2(E, B, C) & v5_pre_topc(D, A, B))  => v5_pre_topc(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), A, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_jgraph_5, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (l1_pre_topc(B) =>  (! [C] :  (l1_pre_topc(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  ( (v3_tops_2(E, B, C) & v2_funct_1(D))  => v2_funct_1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_jgraph_5, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_pre_topc(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_pre_topc(C))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(k1_pre_topc(B, D))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_pre_topc(B, D)))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(A), u1_struct_0(C)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C))))) )  =>  ( (r2_relset_1(u1_struct_0(A), u1_struct_0(C), G, k1_partfun1(u1_struct_0(A), u1_struct_0(k1_pre_topc(B, D)), u1_struct_0(B), u1_struct_0(C), E, F)) &  (v5_pre_topc(E, A, k1_pre_topc(B, D)) & v5_pre_topc(F, B, C)) )  => v5_pre_topc(G, A, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_jgraph_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k4_topmetr(A, B)), u1_struct_0(k4_topmetr(C, D))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_topmetr(A, B)), u1_struct_0(k4_topmetr(C, D)))))) )  =>  ( (v3_tops_2(I, k4_topmetr(A, B), k4_topmetr(C, D)) &  (k1_funct_1(I, E)=G &  (k1_funct_1(I, F)=H &  (k1_funct_1(I, B)=D &  (r1_xxreal_0(C, D) &  (r1_xxreal_0(G, H) &  (r2_hidden(E, k1_rcomp_1(A, B)) & r2_hidden(F, k1_rcomp_1(A, B))) ) ) ) ) ) )  => r1_xxreal_0(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_jgraph_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k4_topmetr(A, B)), u1_struct_0(k4_topmetr(C, D))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_topmetr(A, B)), u1_struct_0(k4_topmetr(C, D)))))) )  =>  ( (v3_tops_2(I, k4_topmetr(A, B), k4_topmetr(C, D)) &  (k1_funct_1(I, E)=G &  (k1_funct_1(I, F)=H &  (k1_funct_1(I, B)=C &  (r1_xxreal_0(C, D) &  (r1_xxreal_0(H, G) &  (r2_hidden(E, k1_rcomp_1(A, B)) & r2_hidden(F, k1_rcomp_1(A, B))) ) ) ) ) ) )  => r1_xxreal_0(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_jgraph_5, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => k4_algstr_0(k15_euclid(A), k4_struct_0(k15_euclid(A)))=k4_struct_0(k15_euclid(A))) ) ).
fof(t11_jgraph_5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_topmetr)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k5_topmetr)) =>  ~ ( (G=k5_numbers &  (H=1 &  (v5_pre_topc(A, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(A) &  (v5_pre_topc(B, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(B) &  ( ~ (C=D)  &  ( ~ (E=F)  &  (k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, G))=C &  (r1_xxreal_0(E, k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, G))) &  (r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, G)), F) &  (k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, H))=D &  (r1_xxreal_0(E, k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, H))) &  (r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, H)), F) &  (k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, G))=E &  (r1_xxreal_0(C, k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, G))) &  (r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, G)), D) &  (k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, H))=F &  (r1_xxreal_0(C, k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, H))) &  (r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, H)), D) &  ( (! [I] :  (m1_subset_1(I, u1_struct_0(k5_topmetr)) =>  ( ~ ( ( ~ (r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, I)), C))  &  ( ~ (r1_xxreal_0(D, k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, I))))  &  ( ~ (r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, I)), E))  &  ~ (r1_xxreal_0(F, k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, I)))) ) ) ) )  &  ~ ( ( ~ (r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, I)), C))  &  ( ~ (r1_xxreal_0(D, k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, I))))  &  ( ~ (r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, I)), E))  &  ~ (r1_xxreal_0(F, k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, I)))) ) ) ) ) ) ) )  & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), A), k2_relset_1(u1_struct_0(k15_euclid(2)), B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_jgraph_5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( (v5_pre_topc(A, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(A) &  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( (k1_funct_1(B, k5_numbers)=k1_funct_1(A, 1) &  (k1_funct_1(B, 1)=k1_funct_1(A, k5_numbers) &  (k2_relset_1(u1_struct_0(k15_euclid(2)), B)=k2_relset_1(u1_struct_0(k15_euclid(2)), A) &  (v5_pre_topc(B, k5_topmetr, k15_euclid(2)) & v2_funct_1(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_jgraph_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, A))  &  ( ~ (r1_xxreal_0(k18_euclid(B), k5_numbers))  &  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (C=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k5_jgraph_4(A), B) & r1_xxreal_0(k18_euclid(C), k5_numbers)) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_jgraph_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r1_xxreal_0(k5_numbers, k18_euclid(B)) =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) |  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (C=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k5_jgraph_4(A), B) => r1_xxreal_0(k5_numbers, k18_euclid(C))) ) ) ) ) ) ) ) ) ) ).
fof(t20_jgraph_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r1_xxreal_0(k5_numbers, k18_euclid(B)) =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) |  (r1_xxreal_0(A, k7_xcmplx_0(k17_euclid(B), k12_euclid(B))) |  (k12_euclid(B)=k5_numbers |  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (C=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k5_jgraph_4(A), B) =>  (r1_xxreal_0(k5_numbers, k18_euclid(C)) &  ~ (r1_xxreal_0(k5_numbers, k17_euclid(C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_jgraph_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r1_xxreal_0(k5_numbers, k18_euclid(B)) & r1_xxreal_0(k5_numbers, k18_euclid(C)))  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) |  (k12_euclid(B)=k5_numbers |  (k12_euclid(C)=k5_numbers |  (r1_xxreal_0(k7_xcmplx_0(k17_euclid(C), k12_euclid(C)), k7_xcmplx_0(k17_euclid(B), k12_euclid(B))) |  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ~ ( (D=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k5_jgraph_4(A), B) &  (E=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k5_jgraph_4(A), C) & r1_xxreal_0(k7_xcmplx_0(k17_euclid(E), k12_euclid(E)), k7_xcmplx_0(k17_euclid(D), k12_euclid(D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_jgraph_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, A))  &  ( ~ (r1_xxreal_0(k17_euclid(B), k5_numbers))  &  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (C=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k7_jgraph_4(A), B) & r1_xxreal_0(k17_euclid(C), k5_numbers)) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_jgraph_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r1_xxreal_0(k5_numbers, k17_euclid(B)) =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) |  (r1_xxreal_0(A, k7_xcmplx_0(k18_euclid(B), k12_euclid(B))) |  (k12_euclid(B)=k5_numbers |  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (C=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k7_jgraph_4(A), B) =>  (r1_xxreal_0(k5_numbers, k17_euclid(C)) &  ~ (r1_xxreal_0(k5_numbers, k18_euclid(C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_jgraph_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r1_xxreal_0(k5_numbers, k17_euclid(B)) & r1_xxreal_0(k5_numbers, k17_euclid(C)))  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) |  (k12_euclid(B)=k5_numbers |  (k12_euclid(C)=k5_numbers |  (r1_xxreal_0(k7_xcmplx_0(k18_euclid(C), k12_euclid(C)), k7_xcmplx_0(k18_euclid(B), k12_euclid(B))) |  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ~ ( (D=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k7_jgraph_4(A), B) &  (E=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k7_jgraph_4(A), C) & r1_xxreal_0(k7_xcmplx_0(k18_euclid(E), k12_euclid(E)), k7_xcmplx_0(k18_euclid(D), k12_euclid(D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_jgraph_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, A))  &  ( ~ (r1_xxreal_0(k5_numbers, k18_euclid(B)))  &  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (C=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k9_jgraph_4(A), B) & r1_xxreal_0(k5_numbers, k18_euclid(C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_jgraph_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, A))  &  ( ~ (r1_xxreal_0(k5_numbers, k18_euclid(B)))  &  ( ~ (r1_xxreal_0(k7_xcmplx_0(k17_euclid(B), k12_euclid(B)), A))  &  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (C=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k9_jgraph_4(A), B) &  ~ ( ( ~ (r1_xxreal_0(k5_numbers, k18_euclid(C)))  &  ~ (r1_xxreal_0(k17_euclid(C), k5_numbers)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_jgraph_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r1_xxreal_0(k18_euclid(B), k5_numbers) & r1_xxreal_0(k18_euclid(C), k5_numbers))  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) |  (k12_euclid(B)=k5_numbers |  (k12_euclid(C)=k5_numbers |  (r1_xxreal_0(k7_xcmplx_0(k17_euclid(C), k12_euclid(C)), k7_xcmplx_0(k17_euclid(B), k12_euclid(B))) |  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ~ ( (D=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k9_jgraph_4(A), B) &  (E=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k9_jgraph_4(A), C) & r1_xxreal_0(k7_xcmplx_0(k17_euclid(E), k12_euclid(E)), k7_xcmplx_0(k17_euclid(D), k12_euclid(D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_jgraph_5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k15_euclid(2)), u1_struct_0(k3_topmetr)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k3_topmetr))))) )  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k3_topmetr), A, B)=k3_funct_2(u1_struct_0(k15_euclid(2)), k1_numbers, k4_pscomp_1, B)) )  => v5_pre_topc(A, k15_euclid(2), k3_topmetr)) ) ) ).
fof(t32_jgraph_5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k15_euclid(2)), u1_struct_0(k3_topmetr)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k3_topmetr))))) )  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k3_topmetr), A, B)=k3_funct_2(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, B)) )  => v5_pre_topc(A, k15_euclid(2), k3_topmetr)) ) ) ).
fof(t36_jgraph_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( (r1_xxreal_0(A, B) &  ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k4_topmetr(A, B)), u1_struct_0(k4_topmetr(k2_xcmplx_0(k3_xcmplx_0(D, A), C), k2_xcmplx_0(k3_xcmplx_0(D, B), C)))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_topmetr(A, B)), u1_struct_0(k4_topmetr(k2_xcmplx_0(k3_xcmplx_0(D, A), C), k2_xcmplx_0(k3_xcmplx_0(D, B), C))))))) )  =>  ~ ( (v3_tops_2(E, k4_topmetr(A, B), k4_topmetr(k2_xcmplx_0(k3_xcmplx_0(D, A), C), k2_xcmplx_0(k3_xcmplx_0(D, B), C))) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, k1_rcomp_1(A, B)) => k1_funct_1(E, F)=k2_xcmplx_0(k3_xcmplx_0(D, F), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_jgraph_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( (r1_xxreal_0(A, B) &  ( ~ (r1_xxreal_0(k5_numbers, D))  &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k4_topmetr(A, B)), u1_struct_0(k4_topmetr(k2_xcmplx_0(k3_xcmplx_0(D, B), C), k2_xcmplx_0(k3_xcmplx_0(D, A), C)))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_topmetr(A, B)), u1_struct_0(k4_topmetr(k2_xcmplx_0(k3_xcmplx_0(D, B), C), k2_xcmplx_0(k3_xcmplx_0(D, A), C))))))) )  =>  ~ ( (v3_tops_2(E, k4_topmetr(A, B), k4_topmetr(k2_xcmplx_0(k3_xcmplx_0(D, B), C), k2_xcmplx_0(k3_xcmplx_0(D, A), C))) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, k1_rcomp_1(A, B)) => k1_funct_1(E, F)=k2_xcmplx_0(k3_xcmplx_0(D, F), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_jgraph_5, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k5_topmetr), u1_struct_0(k4_topmetr(k4_xcmplx_0(1), 1))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k4_topmetr(k4_xcmplx_0(1), 1)))))) )  &  (v3_tops_2(A, k5_topmetr, k4_topmetr(k4_xcmplx_0(1), 1)) &  ( (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, k1_rcomp_1(k5_numbers, 1)) => k1_funct_1(A, B)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), B), 1)) ) )  &  (k1_funct_1(A, k5_numbers)=1 & k1_funct_1(A, 1)=k4_xcmplx_0(1)) ) ) ) ) ).
fof(t39_jgraph_5, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k5_topmetr), u1_struct_0(k4_topmetr(k4_xcmplx_0(1), 1))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k4_topmetr(k4_xcmplx_0(1), 1)))))) )  &  (v3_tops_2(A, k5_topmetr, k4_topmetr(k4_xcmplx_0(1), 1)) &  ( (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, k1_rcomp_1(k5_numbers, 1)) => k1_funct_1(A, B)=k6_xcmplx_0(k3_xcmplx_0(2, B), 1)) ) )  &  (k1_funct_1(A, k5_numbers)=k4_xcmplx_0(1) & k1_funct_1(A, 1)=1) ) ) ) ) ).
fof(t57_jgraph_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r1_xxreal_0(k18_euclid(B), k5_numbers) =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) |  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (C=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k9_jgraph_4(A), B) => r1_xxreal_0(k18_euclid(C), k5_numbers)) ) ) ) ) ) ) ) ) ) ).
fof(t13_jgraph_5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k5_topmetr)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k5_topmetr)) =>  ~ ( (H=k5_numbers &  (I=1 &  (v5_pre_topc(A, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(A) &  (v5_pre_topc(B, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(B) &  (C=a_0_0_jgraph_5 &  (D=a_0_1_jgraph_5 &  (E=a_0_2_jgraph_5 &  (F=a_0_3_jgraph_5 &  (G=a_0_4_jgraph_5 &  (r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, H), E) &  (r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, I), D) &  (r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, H), F) &  (r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, I), G) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), A), C) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), B), C) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), A), k2_relset_1(u1_struct_0(k15_euclid(2)), B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_jgraph_5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k5_topmetr)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k5_topmetr)) =>  ~ ( (H=k5_numbers &  (I=1 &  (v5_pre_topc(A, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(A) &  (v5_pre_topc(B, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(B) &  (C=a_0_5_jgraph_5 &  (D=a_0_1_jgraph_5 &  (E=a_0_2_jgraph_5 &  (F=a_0_3_jgraph_5 &  (G=a_0_4_jgraph_5 &  (r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, H), E) &  (r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, I), D) &  (r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, H), G) &  (r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, I), F) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), A), C) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), B), C) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), A), k2_relset_1(u1_struct_0(k15_euclid(2)), B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_jgraph_5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k5_topmetr)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k5_topmetr)) =>  ~ ( (H=k5_numbers &  (I=1 &  (v5_pre_topc(A, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(A) &  (v5_pre_topc(B, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(B) &  (C=a_0_5_jgraph_5 &  (D=a_0_1_jgraph_5 &  (E=a_0_2_jgraph_5 &  (F=a_0_3_jgraph_5 &  (G=a_0_4_jgraph_5 &  (r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, H), E) &  (r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, I), D) &  (r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, H), F) &  (r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, I), G) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), A), C) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), B), C) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), A), k2_relset_1(u1_struct_0(k15_euclid(2)), B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_jgraph_5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( (C=a_0_5_jgraph_5 &  (v5_pre_topc(A, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(A) &  (v5_pre_topc(B, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(B) &  (k1_funct_1(A, k5_numbers)=k19_euclid(k4_xcmplx_0(1), k5_numbers) &  (k1_funct_1(A, 1)=k19_euclid(1, k5_numbers) &  (k1_funct_1(B, 1)=k19_euclid(k5_numbers, 1) &  (k1_funct_1(B, k5_numbers)=k19_euclid(k5_numbers, k4_xcmplx_0(1)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), A), C) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), B), C) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), A), k2_relset_1(u1_struct_0(k15_euclid(2)), B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_jgraph_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (E=a_0_5_jgraph_5 &  (k12_euclid(A)=1 &  (k12_euclid(B)=1 &  (k12_euclid(C)=1 & k12_euclid(D)=1) ) ) )  =>  ( (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( (v3_tops_2(F, k15_euclid(2), k15_euclid(2)) &  (r1_tarski(k7_relset_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), E) &  (k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, A)=k19_euclid(k4_xcmplx_0(1), k5_numbers) &  (k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, B)=k19_euclid(k5_numbers, 1) &  (k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, C)=k19_euclid(1, k5_numbers) & k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, D)=k19_euclid(k5_numbers, k4_xcmplx_0(1))) ) ) ) ) ) ) )  |  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( (v5_pre_topc(F, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(F) &  (v5_pre_topc(G, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(G) &  (k1_funct_1(F, k5_numbers)=A &  (k1_funct_1(F, 1)=C &  (k1_funct_1(G, k5_numbers)=D &  (k1_funct_1(G, 1)=B &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), F), E) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), G), E) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), F), k2_relset_1(u1_struct_0(k15_euclid(2)), G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_jgraph_5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (A=a_0_6_jgraph_5 =>  (k6_pscomp_1(A)=k4_xcmplx_0(1) &  (k8_pscomp_1(A)=1 &  (k9_pscomp_1(A)=k4_xcmplx_0(1) & k7_pscomp_1(A)=1) ) ) ) ) ) ).
fof(t29_jgraph_5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (A=a_0_6_jgraph_5 => k18_pscomp_1(A)=k19_euclid(k4_xcmplx_0(1), k5_numbers)) ) ) ).
fof(t30_jgraph_5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (A=a_0_6_jgraph_5 => k22_pscomp_1(A)=k19_euclid(1, k5_numbers)) ) ) ).
fof(t33_jgraph_5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (A=a_0_6_jgraph_5 =>  (r1_tarski(k8_jordan6(A), A) & r1_tarski(k9_jordan6(A), A)) ) ) ) ).
fof(t34_jgraph_5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (A=a_0_6_jgraph_5 => k8_jordan6(A)=a_1_0_jgraph_5(A)) ) ) ).
fof(t35_jgraph_5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (A=a_0_6_jgraph_5 => k9_jordan6(A)=a_1_1_jgraph_5(A)) ) ) ).
fof(t40_jgraph_5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ~ ( (A=a_0_6_jgraph_5 &  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k4_topmetr(k4_xcmplx_0(1), 1)), u1_struct_0(k1_pre_topc(k15_euclid(2), k9_jordan6(A)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_topmetr(k4_xcmplx_0(1), 1)), u1_struct_0(k1_pre_topc(k15_euclid(2), k9_jordan6(A))))))) )  =>  ~ ( (v3_tops_2(B, k4_topmetr(k4_xcmplx_0(1), 1), k1_pre_topc(k15_euclid(2), k9_jordan6(A))) &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(C, k9_jordan6(A)) => k1_funct_1(B, k17_euclid(C))=C) ) )  &  (k1_funct_1(B, k4_xcmplx_0(1))=k18_pscomp_1(A) & k1_funct_1(B, 1)=k22_pscomp_1(A)) ) ) ) ) ) ) ) ) ) ).
fof(t41_jgraph_5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ~ ( (A=a_0_6_jgraph_5 &  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k4_topmetr(k4_xcmplx_0(1), 1)), u1_struct_0(k1_pre_topc(k15_euclid(2), k8_jordan6(A)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_topmetr(k4_xcmplx_0(1), 1)), u1_struct_0(k1_pre_topc(k15_euclid(2), k8_jordan6(A))))))) )  =>  ~ ( (v3_tops_2(B, k4_topmetr(k4_xcmplx_0(1), 1), k1_pre_topc(k15_euclid(2), k8_jordan6(A))) &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(C, k8_jordan6(A)) => k1_funct_1(B, k17_euclid(C))=C) ) )  &  (k1_funct_1(B, k4_xcmplx_0(1))=k18_pscomp_1(A) & k1_funct_1(B, 1)=k22_pscomp_1(A)) ) ) ) ) ) ) ) ) ) ).
fof(t42_jgraph_5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ~ ( (A=a_0_6_jgraph_5 &  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), k9_jordan6(A)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), k9_jordan6(A))))))) )  =>  ~ ( (v3_tops_2(B, k5_topmetr, k1_pre_topc(k15_euclid(2), k9_jordan6(A))) &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (k1_funct_1(B, E)=C &  (k1_funct_1(B, F)=D &  (r2_hidden(E, k1_rcomp_1(k5_numbers, 1)) & r2_hidden(F, k1_rcomp_1(k5_numbers, 1))) ) )  =>  ( ~ ( ( ~ (r1_xxreal_0(F, E))  & r1_xxreal_0(k17_euclid(C), k17_euclid(D))) )  &  ~ ( ( ~ (r1_xxreal_0(k17_euclid(C), k17_euclid(D)))  & r1_xxreal_0(F, E)) ) ) ) ) ) ) ) ) ) ) )  &  (k1_funct_1(B, k5_numbers)=k22_pscomp_1(A) & k1_funct_1(B, 1)=k18_pscomp_1(A)) ) ) ) ) ) ) ) ) ) ).
fof(t43_jgraph_5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ~ ( (A=a_0_6_jgraph_5 &  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), k8_jordan6(A)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), k8_jordan6(A))))))) )  =>  ~ ( (v3_tops_2(B, k5_topmetr, k1_pre_topc(k15_euclid(2), k8_jordan6(A))) &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (k1_funct_1(B, E)=C &  (k1_funct_1(B, F)=D &  (r2_hidden(E, k1_rcomp_1(k5_numbers, 1)) & r2_hidden(F, k1_rcomp_1(k5_numbers, 1))) ) )  =>  ( ~ ( ( ~ (r1_xxreal_0(F, E))  & r1_xxreal_0(k17_euclid(D), k17_euclid(C))) )  &  ~ ( ( ~ (r1_xxreal_0(k17_euclid(D), k17_euclid(C)))  & r1_xxreal_0(F, E)) ) ) ) ) ) ) ) ) ) ) )  &  (k1_funct_1(B, k5_numbers)=k18_pscomp_1(A) & k1_funct_1(B, 1)=k22_pscomp_1(A)) ) ) ) ) ) ) ) ) ) ).
fof(t44_jgraph_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_compts_1(C, k15_euclid(2)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ( (C=a_0_6_jgraph_5 &  (r2_tarski(B, k8_jordan6(C)) & r1_jordan6(C, A, B)) )  => r2_tarski(A, k8_jordan6(C))) ) ) ) ) ) ) ).
fof(t45_jgraph_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_compts_1(C, k15_euclid(2)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ( (C=a_0_6_jgraph_5 & r1_jordan6(C, A, B))  =>  (A=B |  (r1_xxreal_0(k5_numbers, k17_euclid(A)) |  (r1_xxreal_0(k5_numbers, k18_euclid(A)) |  (r1_xxreal_0(k5_numbers, k18_euclid(B)) |  ( ~ (r1_xxreal_0(k17_euclid(A), k17_euclid(B)))  &  ~ (r1_xxreal_0(k18_euclid(B), k18_euclid(A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_jgraph_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_compts_1(C, k15_euclid(2)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ( (C=a_0_6_jgraph_5 &  (r1_jordan6(C, A, B) &  (r1_xxreal_0(k5_numbers, k18_euclid(A)) & r1_xxreal_0(k5_numbers, k18_euclid(B))) ) )  =>  (A=B |  (r1_xxreal_0(k5_numbers, k17_euclid(B)) |  ( ~ (r1_xxreal_0(k17_euclid(B), k17_euclid(A)))  &  ~ (r1_xxreal_0(k18_euclid(B), k18_euclid(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_jgraph_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_compts_1(C, k15_euclid(2)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ~ ( (C=a_0_6_jgraph_5 &  (r1_jordan6(C, A, B) &  ( ~ (A=B)  &  (r1_xxreal_0(k5_numbers, k18_euclid(B)) & r1_xxreal_0(k17_euclid(B), k17_euclid(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_jgraph_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_compts_1(C, k15_euclid(2)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ~ ( (C=a_0_6_jgraph_5 &  (r1_jordan6(C, A, B) &  ( ~ (A=B)  &  (r1_xxreal_0(k18_euclid(A), k5_numbers) &  ( ~ (A=k18_pscomp_1(C))  & r1_xxreal_0(k17_euclid(A), k17_euclid(B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_jgraph_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_compts_1(C, k15_euclid(2)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ~ ( (C=a_0_6_jgraph_5 &  ( (r1_xxreal_0(k5_numbers, k18_euclid(B)) | r1_xxreal_0(k5_numbers, k17_euclid(B)))  &  (r1_jordan6(C, A, B) &  ( ~ (r1_xxreal_0(k5_numbers, k18_euclid(A)))  &  ~ (r1_xxreal_0(k5_numbers, k17_euclid(A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_jgraph_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_compts_1(C, k15_euclid(2)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ~ ( (C=a_0_6_jgraph_5 &  (r1_jordan6(C, A, B) &  ( ~ (A=B)  &  (r1_xxreal_0(k5_numbers, k17_euclid(A)) &  (r1_xxreal_0(k5_numbers, k17_euclid(B)) & r1_xxreal_0(k18_euclid(A), k18_euclid(B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_jgraph_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_compts_1(C, k15_euclid(2)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ( (C=a_0_6_jgraph_5 &  (r2_tarski(A, C) & r2_tarski(B, C)) )  =>  (r1_xxreal_0(k5_numbers, k17_euclid(A)) |  (r1_xxreal_0(k5_numbers, k17_euclid(B)) |  (r1_xxreal_0(k5_numbers, k18_euclid(A)) |  (r1_xxreal_0(k5_numbers, k18_euclid(B)) |  ( ( ~ (r1_xxreal_0(k17_euclid(B), k17_euclid(A)))  &  ~ (r1_xxreal_0(k18_euclid(A), k18_euclid(B))) )  | r1_jordan6(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_jgraph_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_compts_1(C, k15_euclid(2)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ( (C=a_0_6_jgraph_5 &  (r2_tarski(A, C) & r2_tarski(B, C)) )  =>  (r1_xxreal_0(k17_euclid(A), k5_numbers) |  (r1_xxreal_0(k17_euclid(B), k5_numbers) |  (r1_xxreal_0(k5_numbers, k18_euclid(A)) |  (r1_xxreal_0(k5_numbers, k18_euclid(B)) |  ( ( ~ (r1_xxreal_0(k17_euclid(B), k17_euclid(A)))  &  ~ (r1_xxreal_0(k18_euclid(B), k18_euclid(A))) )  | r1_jordan6(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_jgraph_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_compts_1(C, k15_euclid(2)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ( (C=a_0_6_jgraph_5 &  (r2_tarski(A, C) &  (r2_tarski(B, C) &  (r1_xxreal_0(k5_numbers, k18_euclid(A)) & r1_xxreal_0(k5_numbers, k18_euclid(B))) ) ) )  =>  (r1_xxreal_0(k5_numbers, k17_euclid(A)) |  (r1_xxreal_0(k5_numbers, k17_euclid(B)) |  ( ( ~ (r1_xxreal_0(k17_euclid(A), k17_euclid(B)))  &  ~ (r1_xxreal_0(k18_euclid(A), k18_euclid(B))) )  | r1_jordan6(C, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t54_jgraph_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_compts_1(C, k15_euclid(2)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ( (C=a_0_6_jgraph_5 &  (r2_tarski(A, C) &  (r2_tarski(B, C) &  (r1_xxreal_0(k5_numbers, k18_euclid(A)) &  (r1_xxreal_0(k5_numbers, k18_euclid(B)) & r1_xxreal_0(k17_euclid(A), k17_euclid(B))) ) ) ) )  => r1_jordan6(C, A, B)) ) ) ) ) ) ) ).
fof(t55_jgraph_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_compts_1(C, k15_euclid(2)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ( (C=a_0_6_jgraph_5 &  (r2_tarski(A, C) &  (r2_tarski(B, C) &  (r1_xxreal_0(k5_numbers, k17_euclid(A)) &  (r1_xxreal_0(k5_numbers, k17_euclid(B)) & r1_xxreal_0(k18_euclid(B), k18_euclid(A))) ) ) ) )  => r1_jordan6(C, A, B)) ) ) ) ) ) ) ).
fof(t56_jgraph_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_compts_1(C, k15_euclid(2)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ( (C=a_0_6_jgraph_5 &  (r2_tarski(A, C) &  (r2_tarski(B, C) &  (r1_xxreal_0(k18_euclid(A), k5_numbers) &  (r1_xxreal_0(k18_euclid(B), k5_numbers) & r1_xxreal_0(k17_euclid(B), k17_euclid(A))) ) ) ) )  =>  (B=k18_pscomp_1(C) | r1_jordan6(C, A, B)) ) ) ) ) ) ) ) ).
fof(t58_jgraph_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  &  (v2_compts_1(F, k15_euclid(2)) & m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ( (F=a_0_6_jgraph_5 &  (r1_jordan6(F, B, C) &  (D=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k9_jgraph_4(A), B) & E=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k9_jgraph_4(A), C)) ) )  =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (r1_xxreal_0(1, A) | r1_jordan6(F, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_jgraph_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v2_compts_1(E, k15_euclid(2)) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ~ ( (E=a_0_6_jgraph_5 &  (r1_jordan6(E, A, B) &  (r1_jordan6(E, B, C) &  (r1_jordan6(E, C, D) &  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(A)))  &  (r1_xxreal_0(k5_numbers, k18_euclid(A)) &  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(B)))  &  (r1_xxreal_0(k5_numbers, k18_euclid(B)) &  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(C)))  &  (r1_xxreal_0(k5_numbers, k18_euclid(C)) &  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(D)))  &  (r1_xxreal_0(k5_numbers, k18_euclid(D)) &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(2))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k15_euclid(2))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k15_euclid(2))) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(k15_euclid(2))) =>  ~ ( (v3_tops_2(F, k15_euclid(2), k15_euclid(2)) &  ( (! [K] :  (m1_subset_1(K, u1_struct_0(k15_euclid(2))) => k12_euclid(k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, K))=k12_euclid(K)) )  &  (G=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, A) &  (H=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, B) &  (I=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, C) &  (J=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, D) &  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(G)))  &  ( ~ (r1_xxreal_0(k5_numbers, k18_euclid(G)))  &  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(H)))  &  ( ~ (r1_xxreal_0(k5_numbers, k18_euclid(H)))  &  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(I)))  &  ( ~ (r1_xxreal_0(k5_numbers, k18_euclid(I)))  &  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(J)))  &  ( ~ (r1_xxreal_0(k5_numbers, k18_euclid(J)))  &  (r1_jordan6(E, G, H) &  (r1_jordan6(E, H, I) & r1_jordan6(E, I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_jgraph_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v2_compts_1(E, k15_euclid(2)) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ~ ( (E=a_0_6_jgraph_5 &  (r1_jordan6(E, A, B) &  (r1_jordan6(E, B, C) &  (r1_jordan6(E, C, D) &  (r1_xxreal_0(k5_numbers, k18_euclid(A)) &  (r1_xxreal_0(k5_numbers, k18_euclid(B)) &  (r1_xxreal_0(k5_numbers, k18_euclid(C)) &  ( ~ (r1_xxreal_0(k18_euclid(D), k5_numbers))  &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(2))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k15_euclid(2))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k15_euclid(2))) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(k15_euclid(2))) =>  ~ ( (v3_tops_2(F, k15_euclid(2), k15_euclid(2)) &  ( (! [K] :  (m1_subset_1(K, u1_struct_0(k15_euclid(2))) => k12_euclid(k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, K))=k12_euclid(K)) )  &  (G=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, A) &  (H=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, B) &  (I=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, C) &  (J=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, D) &  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(G)))  &  (r1_xxreal_0(k5_numbers, k18_euclid(G)) &  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(H)))  &  (r1_xxreal_0(k5_numbers, k18_euclid(H)) &  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(I)))  &  (r1_xxreal_0(k5_numbers, k18_euclid(I)) &  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(J)))  &  (r1_xxreal_0(k5_numbers, k18_euclid(J)) &  (r1_jordan6(E, G, H) &  (r1_jordan6(E, H, I) & r1_jordan6(E, I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_jgraph_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v2_compts_1(E, k15_euclid(2)) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ~ ( (E=a_0_6_jgraph_5 &  (r1_jordan6(E, A, B) &  (r1_jordan6(E, B, C) &  (r1_jordan6(E, C, D) &  (r1_xxreal_0(k5_numbers, k18_euclid(A)) &  (r1_xxreal_0(k5_numbers, k18_euclid(B)) &  (r1_xxreal_0(k5_numbers, k18_euclid(C)) &  ( ~ (r1_xxreal_0(k18_euclid(D), k5_numbers))  &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(2))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k15_euclid(2))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k15_euclid(2))) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(k15_euclid(2))) =>  ~ ( (v3_tops_2(F, k15_euclid(2), k15_euclid(2)) &  ( (! [K] :  (m1_subset_1(K, u1_struct_0(k15_euclid(2))) => k12_euclid(k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, K))=k12_euclid(K)) )  &  (G=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, A) &  (H=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, B) &  (I=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, C) &  (J=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, D) &  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(G)))  &  ( ~ (r1_xxreal_0(k5_numbers, k18_euclid(G)))  &  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(H)))  &  ( ~ (r1_xxreal_0(k5_numbers, k18_euclid(H)))  &  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(I)))  &  ( ~ (r1_xxreal_0(k5_numbers, k18_euclid(I)))  &  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(J)))  &  ( ~ (r1_xxreal_0(k5_numbers, k18_euclid(J)))  &  (r1_jordan6(E, G, H) &  (r1_jordan6(E, H, I) & r1_jordan6(E, I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_jgraph_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v2_compts_1(E, k15_euclid(2)) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ~ ( (E=a_0_6_jgraph_5 &  (r1_jordan6(E, A, B) &  (r1_jordan6(E, B, C) &  (r1_jordan6(E, C, D) &  ( (r1_xxreal_0(k5_numbers, k18_euclid(A)) | r1_xxreal_0(k5_numbers, k17_euclid(A)))  &  ( (r1_xxreal_0(k5_numbers, k18_euclid(B)) | r1_xxreal_0(k5_numbers, k17_euclid(B)))  &  ( (r1_xxreal_0(k5_numbers, k18_euclid(C)) | r1_xxreal_0(k5_numbers, k17_euclid(C)))  &  ( ~ ( (r1_xxreal_0(k18_euclid(D), k5_numbers) & r1_xxreal_0(k17_euclid(D), k5_numbers)) )  &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(2))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k15_euclid(2))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k15_euclid(2))) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(k15_euclid(2))) =>  ~ ( (v3_tops_2(F, k15_euclid(2), k15_euclid(2)) &  ( (! [K] :  (m1_subset_1(K, u1_struct_0(k15_euclid(2))) => k12_euclid(k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, K))=k12_euclid(K)) )  &  (G=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, A) &  (H=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, B) &  (I=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, C) &  (J=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, D) &  (r1_xxreal_0(k5_numbers, k18_euclid(G)) &  (r1_xxreal_0(k5_numbers, k18_euclid(H)) &  (r1_xxreal_0(k5_numbers, k18_euclid(I)) &  ( ~ (r1_xxreal_0(k18_euclid(J), k5_numbers))  &  (r1_jordan6(E, G, H) &  (r1_jordan6(E, H, I) & r1_jordan6(E, I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_jgraph_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v2_compts_1(E, k15_euclid(2)) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ~ ( (E=a_0_6_jgraph_5 &  (r1_jordan6(E, A, B) &  (r1_jordan6(E, B, C) &  (r1_jordan6(E, C, D) &  ( (r1_xxreal_0(k5_numbers, k18_euclid(A)) | r1_xxreal_0(k5_numbers, k17_euclid(A)))  &  ( (r1_xxreal_0(k5_numbers, k18_euclid(B)) | r1_xxreal_0(k5_numbers, k17_euclid(B)))  &  ( (r1_xxreal_0(k5_numbers, k18_euclid(C)) | r1_xxreal_0(k5_numbers, k17_euclid(C)))  &  ( ~ ( (r1_xxreal_0(k18_euclid(D), k5_numbers) & r1_xxreal_0(k17_euclid(D), k5_numbers)) )  &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(2))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k15_euclid(2))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k15_euclid(2))) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(k15_euclid(2))) =>  ~ ( (v3_tops_2(F, k15_euclid(2), k15_euclid(2)) &  ( (! [K] :  (m1_subset_1(K, u1_struct_0(k15_euclid(2))) => k12_euclid(k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, K))=k12_euclid(K)) )  &  (G=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, A) &  (H=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, B) &  (I=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, C) &  (J=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, D) &  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(G)))  &  ( ~ (r1_xxreal_0(k5_numbers, k18_euclid(G)))  &  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(H)))  &  ( ~ (r1_xxreal_0(k5_numbers, k18_euclid(H)))  &  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(I)))  &  ( ~ (r1_xxreal_0(k5_numbers, k18_euclid(I)))  &  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(J)))  &  ( ~ (r1_xxreal_0(k5_numbers, k18_euclid(J)))  &  (r1_jordan6(E, G, H) &  (r1_jordan6(E, H, I) & r1_jordan6(E, I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_jgraph_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v2_compts_1(E, k15_euclid(2)) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ~ ( (E=a_0_6_jgraph_5 &  (D=k18_pscomp_1(E) &  (r1_jordan6(E, A, B) &  (r1_jordan6(E, B, C) &  (r1_jordan6(E, C, D) &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(2))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k15_euclid(2))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k15_euclid(2))) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(k15_euclid(2))) =>  ~ ( (v3_tops_2(F, k15_euclid(2), k15_euclid(2)) &  ( (! [K] :  (m1_subset_1(K, u1_struct_0(k15_euclid(2))) => k12_euclid(k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, K))=k12_euclid(K)) )  &  (G=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, A) &  (H=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, B) &  (I=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, C) &  (J=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, D) &  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(G)))  &  ( ~ (r1_xxreal_0(k5_numbers, k18_euclid(G)))  &  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(H)))  &  ( ~ (r1_xxreal_0(k5_numbers, k18_euclid(H)))  &  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(I)))  &  ( ~ (r1_xxreal_0(k5_numbers, k18_euclid(I)))  &  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(J)))  &  ( ~ (r1_xxreal_0(k5_numbers, k18_euclid(J)))  &  (r1_jordan6(E, G, H) &  (r1_jordan6(E, H, I) & r1_jordan6(E, I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_jgraph_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v2_compts_1(E, k15_euclid(2)) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ~ ( (E=a_0_6_jgraph_5 &  (r1_jordan6(E, A, B) &  (r1_jordan6(E, B, C) &  (r1_jordan6(E, C, D) &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(2))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k15_euclid(2))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k15_euclid(2))) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(k15_euclid(2))) =>  ~ ( (v3_tops_2(F, k15_euclid(2), k15_euclid(2)) &  ( (! [K] :  (m1_subset_1(K, u1_struct_0(k15_euclid(2))) => k12_euclid(k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, K))=k12_euclid(K)) )  &  (G=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, A) &  (H=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, B) &  (I=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, C) &  (J=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, D) &  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(G)))  &  ( ~ (r1_xxreal_0(k5_numbers, k18_euclid(G)))  &  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(H)))  &  ( ~ (r1_xxreal_0(k5_numbers, k18_euclid(H)))  &  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(I)))  &  ( ~ (r1_xxreal_0(k5_numbers, k18_euclid(I)))  &  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(J)))  &  ( ~ (r1_xxreal_0(k5_numbers, k18_euclid(J)))  &  (r1_jordan6(E, G, H) &  (r1_jordan6(E, H, I) & r1_jordan6(E, I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_jgraph_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v2_compts_1(E, k15_euclid(2)) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ~ ( (E=a_0_6_jgraph_5 &  (r1_jordan6(E, A, B) &  (r1_jordan6(E, B, C) &  (r1_jordan6(E, C, D) &  ( ~ (A=B)  &  ( ~ (B=C)  &  ( ~ (C=D)  &  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(A)))  &  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(B)))  &  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(C)))  &  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(D)))  &  ( ~ (r1_xxreal_0(k5_numbers, k18_euclid(A)))  &  ( ~ (r1_xxreal_0(k5_numbers, k18_euclid(B)))  &  ( ~ (r1_xxreal_0(k5_numbers, k18_euclid(C)))  &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( (v3_tops_2(F, k15_euclid(2), k15_euclid(2)) &  ( (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(2))) => k12_euclid(k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, G))=k12_euclid(G)) )  &  (k19_euclid(k4_xcmplx_0(1), k5_numbers)=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, A) &  (k19_euclid(k5_numbers, 1)=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, B) &  (k19_euclid(1, k5_numbers)=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, C) & k19_euclid(k5_numbers, k4_xcmplx_0(1))=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_jgraph_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v2_compts_1(E, k15_euclid(2)) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ~ ( (E=a_0_6_jgraph_5 &  (r1_jordan6(E, A, B) &  (r1_jordan6(E, B, C) &  (r1_jordan6(E, C, D) &  ( ~ (A=B)  &  ( ~ (B=C)  &  ( ~ (C=D)  &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( (v3_tops_2(F, k15_euclid(2), k15_euclid(2)) &  ( (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(2))) => k12_euclid(k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, G))=k12_euclid(G)) )  &  (k19_euclid(k4_xcmplx_0(1), k5_numbers)=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, A) &  (k19_euclid(k5_numbers, 1)=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, B) &  (k19_euclid(1, k5_numbers)=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, C) & k19_euclid(k5_numbers, k4_xcmplx_0(1))=k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_jgraph_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v2_compts_1(E, k15_euclid(2)) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (E=a_0_6_jgraph_5 &  (r1_jordan6(E, A, B) &  (r1_jordan6(E, B, C) & r1_jordan6(E, C, D)) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( (v5_pre_topc(G, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(G) &  (v5_pre_topc(H, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(H) &  (F=a_0_0_jgraph_5 &  (k1_funct_1(G, k5_numbers)=A &  (k1_funct_1(G, 1)=C &  (k1_funct_1(H, k5_numbers)=B &  (k1_funct_1(H, 1)=D &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), G), F) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), H), F) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), G), k2_relset_1(u1_struct_0(k15_euclid(2)), H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t69_jgraph_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v2_compts_1(E, k15_euclid(2)) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (E=a_0_6_jgraph_5 &  (r1_jordan6(E, A, B) &  (r1_jordan6(E, B, C) & r1_jordan6(E, C, D)) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( (v5_pre_topc(G, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(G) &  (v5_pre_topc(H, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(H) &  (F=a_0_0_jgraph_5 &  (k1_funct_1(G, k5_numbers)=A &  (k1_funct_1(G, 1)=C &  (k1_funct_1(H, k5_numbers)=D &  (k1_funct_1(H, 1)=B &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), G), F) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), H), F) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), G), k2_relset_1(u1_struct_0(k15_euclid(2)), H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_jgraph_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v2_compts_1(E, k15_euclid(2)) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (E=a_0_6_jgraph_5 &  (r1_jordan6(E, A, B) &  (r1_jordan6(E, B, C) & r1_jordan6(E, C, D)) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( (v5_pre_topc(G, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(G) &  (v5_pre_topc(H, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(H) &  (F=a_0_5_jgraph_5 &  (k1_funct_1(G, k5_numbers)=A &  (k1_funct_1(G, 1)=C &  (k1_funct_1(H, k5_numbers)=D &  (k1_funct_1(H, 1)=B &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), G), F) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), H), F) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), G), k2_relset_1(u1_struct_0(k15_euclid(2)), H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_jgraph_5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v2_compts_1(E, k15_euclid(2)) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (E=a_0_6_jgraph_5 &  (r1_jordan6(E, A, B) &  (r1_jordan6(E, B, C) & r1_jordan6(E, C, D)) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( (v5_pre_topc(G, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(G) &  (v5_pre_topc(H, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(H) &  (F=a_0_5_jgraph_5 &  (k1_funct_1(G, k5_numbers)=A &  (k1_funct_1(G, 1)=C &  (k1_funct_1(H, k5_numbers)=B &  (k1_funct_1(H, 1)=D &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), G), F) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), H), F) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), G), k2_relset_1(u1_struct_0(k15_euclid(2)), H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_0_0_jgraph_5, axiom,  (! [A] :  (r2_hidden(A, a_0_0_jgraph_5) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B & r1_xxreal_0(k12_euclid(B), 1)) ) ) ) ) ).
fof(fraenkel_a_0_1_jgraph_5, axiom,  (! [A] :  (r2_hidden(A, a_0_1_jgraph_5) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B &  (k12_euclid(B)=1 &  (r1_xxreal_0(k18_euclid(B), k17_euclid(B)) & r1_xxreal_0(k4_xcmplx_0(k17_euclid(B)), k18_euclid(B))) ) ) ) ) ) ) ).
fof(fraenkel_a_0_2_jgraph_5, axiom,  (! [A] :  (r2_hidden(A, a_0_2_jgraph_5) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B &  (k12_euclid(B)=1 &  (r1_xxreal_0(k17_euclid(B), k18_euclid(B)) & r1_xxreal_0(k18_euclid(B), k4_xcmplx_0(k17_euclid(B)))) ) ) ) ) ) ) ).
fof(fraenkel_a_0_3_jgraph_5, axiom,  (! [A] :  (r2_hidden(A, a_0_3_jgraph_5) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B &  (k12_euclid(B)=1 &  (r1_xxreal_0(k17_euclid(B), k18_euclid(B)) & r1_xxreal_0(k4_xcmplx_0(k17_euclid(B)), k18_euclid(B))) ) ) ) ) ) ) ).
fof(fraenkel_a_0_4_jgraph_5, axiom,  (! [A] :  (r2_hidden(A, a_0_4_jgraph_5) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B &  (k12_euclid(B)=1 &  (r1_xxreal_0(k18_euclid(B), k17_euclid(B)) & r1_xxreal_0(k18_euclid(B), k4_xcmplx_0(k17_euclid(B)))) ) ) ) ) ) ) ).
fof(fraenkel_a_0_5_jgraph_5, axiom,  (! [A] :  (r2_hidden(A, a_0_5_jgraph_5) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B & r1_xxreal_0(1, k12_euclid(B))) ) ) ) ) ).
fof(fraenkel_a_0_6_jgraph_5, axiom,  (! [A] :  (r2_hidden(A, a_0_6_jgraph_5) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B & k12_euclid(B)=1) ) ) ) ) ).
fof(fraenkel_a_1_0_jgraph_5, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (r2_hidden(A, a_1_0_jgraph_5(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (A=C &  (r2_tarski(C, B) & r1_xxreal_0(k5_numbers, k18_euclid(C))) ) ) ) ) ) ) ).
fof(fraenkel_a_1_1_jgraph_5, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (r2_hidden(A, a_1_1_jgraph_5(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (A=C &  (r2_tarski(C, B) & r1_xxreal_0(k18_euclid(C), k5_numbers)) ) ) ) ) ) ) ).
fof(fc1_jgraph_6, axiom,  (! [A, B, C] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) & v1_xreal_0(C)) )  => v2_compts_1(k5_jgraph_6(A, B, C), k15_euclid(2))) ) ).
fof(fc2_jgraph_6, axiom,  (! [A, B, C] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v1_xreal_0(C) &  ~ (v3_xxreal_0(C)) ) ) )  =>  ~ (v1_xboole_0(k5_jgraph_6(A, B, C))) ) ) ).
fof(t1_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r1_xxreal_0(B, C) & r2_tarski(D, k1_rltopsp1(k15_euclid(2), k19_euclid(A, B), k19_euclid(A, C))))  =>  (k17_euclid(D)=A &  (r1_xxreal_0(B, k18_euclid(D)) & r1_xxreal_0(k18_euclid(D), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (k17_euclid(D)=A &  (r1_xxreal_0(B, k18_euclid(D)) & r1_xxreal_0(k18_euclid(D), C)) )  =>  (r1_xxreal_0(C, B) | r2_tarski(D, k1_rltopsp1(k15_euclid(2), k19_euclid(A, B), k19_euclid(A, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t3_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r1_xxreal_0(A, B) & r2_tarski(D, k1_rltopsp1(k15_euclid(2), k19_euclid(A, C), k19_euclid(B, C))))  =>  (k18_euclid(D)=C &  (r1_xxreal_0(A, k17_euclid(D)) & r1_xxreal_0(k17_euclid(D), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k5_topmetr))) =>  (C=k1_rcomp_1(A, B) => v4_pre_topc(C, k5_topmetr)) ) ) ) ) ) ) ).
fof(t5_jgraph_6, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_pre_topc(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_pre_topc(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C))))) )  =>  (k1_relset_1(u1_struct_0(A), D)=k1_relset_1(u1_struct_0(A), E) &  (k1_relset_1(u1_struct_0(A), D)=u1_struct_0(A) & k1_relset_1(u1_struct_0(A), D)=k2_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_jgraph_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k1_pre_topc(A, B)), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(A, B)), u1_struct_0(A))))) )  &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(k1_pre_topc(A, B))) => k3_funct_2(u1_struct_0(k1_pre_topc(A, B)), u1_struct_0(A), C, D)=D) )  & v5_pre_topc(C, k1_pre_topc(A, B), A)) ) ) ) ) ) ) ).
fof(t7_jgraph_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( (v5_pre_topc(B, A, k3_topmetr) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (v1_xreal_0(F) =>  (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), B, E)=F => k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), D, E)=k6_xcmplx_0(F, C)) ) ) ) )  & v5_pre_topc(D, A, k3_topmetr)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_jgraph_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( (v5_pre_topc(B, A, k3_topmetr) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (v1_xreal_0(F) =>  (k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), B, E)=F => k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), D, E)=k6_xcmplx_0(C, F)) ) ) ) )  & v5_pre_topc(D, A, k3_topmetr)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_jgraph_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(B))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( (v5_pre_topc(D, A, k3_topmetr) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(k15_euclid(B))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k15_euclid(B)))))) )  =>  ~ ( ( (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(k15_euclid(B)), E, F)=k1_rlvect_1(k15_euclid(B), C, k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), D, F))) )  & v5_pre_topc(E, A, k15_euclid(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_jgraph_6, axiom, k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k1_jgraph_3, k19_euclid(k4_xcmplx_0(1), k5_numbers))=k19_euclid(k4_xcmplx_0(1), k5_numbers)).
fof(t12_jgraph_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k15_euclid(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k15_euclid(B)))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(k15_euclid(B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k15_euclid(B)))))) )  =>  ~ ( (v5_pre_topc(C, A, k15_euclid(B)) &  (v5_pre_topc(D, A, k15_euclid(B)) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(k15_euclid(B))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k15_euclid(B)))))) )  =>  ~ ( ( (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(k15_euclid(B)), E, F)=k3_rlvect_1(k15_euclid(B), k3_funct_2(u1_struct_0(A), u1_struct_0(k15_euclid(B)), C, F), k3_funct_2(u1_struct_0(A), u1_struct_0(k15_euclid(B)), D, F))) )  & v5_pre_topc(E, A, k15_euclid(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_jgraph_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(B))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  ~ ( (v5_pre_topc(E, A, k3_topmetr) &  (v5_pre_topc(F, A, k3_topmetr) &  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(A), u1_struct_0(k15_euclid(B))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k15_euclid(B)))))) )  =>  ~ ( ( (! [H] :  (m1_subset_1(H, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(k15_euclid(B)), G, H)=k3_rlvect_1(k15_euclid(B), k1_rlvect_1(k15_euclid(B), C, k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), E, H)), k1_rlvect_1(k15_euclid(B), D, k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), F, H)))) )  & v5_pre_topc(G, A, k15_euclid(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ( (r1_xxreal_0(A, B) &  (r1_xxreal_0(C, D) & r2_tarski(E, k1_sppol_2(A, B, C, D))) )  =>  (r1_xxreal_0(A, k17_euclid(E)) &  (r1_xxreal_0(k17_euclid(E), B) &  (r1_xxreal_0(C, k18_euclid(E)) & r1_xxreal_0(k18_euclid(E), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_jgraph_6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (v1_topreal2(A) =>  ( (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k1_pre_topc(k15_euclid(2), B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)), u1_struct_0(k1_pre_topc(k15_euclid(2), B)))))) )  =>  ~ (v3_tops_2(C, k1_pre_topc(k15_euclid(2), A), k1_pre_topc(k15_euclid(2), B))) ) )  | v1_topreal2(B)) ) ) ) ) ) ).
fof(t22_jgraph_6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (v1_topreal2(A) => v2_compts_1(A, k15_euclid(2))) ) ) ).
fof(t29_jgraph_6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [H] :  (m1_subset_1(H, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [I] :  ( ( ~ (v1_xboole_0(I))  &  (v2_compts_1(I, k15_euclid(2)) & m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  ( (I=k5_jgraph_6(k5_numbers, k5_numbers, 1) &  (A=k6_jgraph_6(k5_numbers, k5_numbers, 1) &  (B=k8_jgraph_6(k5_numbers, k5_numbers, 1) &  (C=k7_jgraph_6(k5_numbers, k5_numbers, 1) &  (D=k9_jgraph_6(k5_numbers, k5_numbers, 1) &  (E=k1_jgraph_6(k4_xcmplx_0(1), 1, k4_xcmplx_0(1), 1) &  (F=k3_jgraph_6(k4_xcmplx_0(1), 1, k4_xcmplx_0(1), 1) &  (G=k2_jgraph_6(k4_xcmplx_0(1), 1, k4_xcmplx_0(1), 1) &  (H=k4_jgraph_6(k4_xcmplx_0(1), 1, k4_xcmplx_0(1), 1) & r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), J, k1_jgraph_3)) ) ) ) ) ) ) ) )  =>  (k7_relset_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), J, k1_sppol_2(k4_xcmplx_0(1), 1, k4_xcmplx_0(1), 1))=I &  (k7_relat_1(k2_funct_1(J), I)=k1_sppol_2(k4_xcmplx_0(1), 1, k4_xcmplx_0(1), 1) &  (k7_relset_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), J, E)=A &  (k7_relat_1(k2_funct_1(J), A)=E &  (k7_relset_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), J, F)=B &  (k7_relat_1(k2_funct_1(J), B)=F &  (k7_relset_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), J, G)=C &  (k7_relset_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), J, H)=D &  (k7_relat_1(k2_funct_1(J), C)=G & k7_relat_1(k2_funct_1(J), D)=H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(A, B) & r1_xxreal_0(C, D))  => k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k19_euclid(A, C), k19_euclid(A, D)), k1_rltopsp1(k15_euclid(2), k19_euclid(A, C), k19_euclid(B, C)))=k1_tarski(k19_euclid(A, C))) ) ) ) ) ) ) ) ) ).
fof(t32_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(A, B) & r1_xxreal_0(C, D))  => k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k19_euclid(A, C), k19_euclid(B, C)), k1_rltopsp1(k15_euclid(2), k19_euclid(B, C), k19_euclid(B, D)))=k1_tarski(k19_euclid(B, C))) ) ) ) ) ) ) ) ) ).
fof(t33_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(A, B) & r1_xxreal_0(C, D))  => k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k19_euclid(A, D), k19_euclid(B, D)), k1_rltopsp1(k15_euclid(2), k19_euclid(B, C), k19_euclid(B, D)))=k1_tarski(k19_euclid(B, D))) ) ) ) ) ) ) ) ) ).
fof(t34_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(A, B) & r1_xxreal_0(C, D))  => k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k19_euclid(A, C), k19_euclid(A, D)), k1_rltopsp1(k15_euclid(2), k19_euclid(A, D), k19_euclid(B, D)))=k1_tarski(k19_euclid(A, D))) ) ) ) ) ) ) ) ) ).
fof(t36_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(A, B) & r1_xxreal_0(C, D))  => k6_pscomp_1(k1_sppol_2(A, B, C, D))=A) ) ) ) ) ) ) ) ) ).
fof(t37_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(A, B) & r1_xxreal_0(C, D))  => k7_pscomp_1(k1_sppol_2(A, B, C, D))=D) ) ) ) ) ) ) ) ) ).
fof(t38_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(A, B) & r1_xxreal_0(C, D))  => k8_pscomp_1(k1_sppol_2(A, B, C, D))=B) ) ) ) ) ) ) ) ) ).
fof(t39_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(A, B) & r1_xxreal_0(C, D))  => k9_pscomp_1(k1_sppol_2(A, B, C, D))=C) ) ) ) ) ) ) ) ) ).
fof(t40_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(A, B) & r1_xxreal_0(C, D))  => k11_pscomp_1(k1_sppol_2(A, B, C, D))=k19_euclid(A, D)) ) ) ) ) ) ) ) ) ).
fof(t41_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(A, B) & r1_xxreal_0(C, D))  => k12_pscomp_1(k1_sppol_2(A, B, C, D))=k19_euclid(B, D)) ) ) ) ) ) ) ) ) ).
fof(t42_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(A, B) & r1_xxreal_0(C, D))  => k10_pscomp_1(k1_sppol_2(A, B, C, D))=k19_euclid(A, C)) ) ) ) ) ) ) ) ) ).
fof(t43_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(A, B) & r1_xxreal_0(C, D))  => k13_pscomp_1(k1_sppol_2(A, B, C, D))=k19_euclid(B, C)) ) ) ) ) ) ) ) ) ).
fof(t44_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(A, B) & r1_xxreal_0(C, D))  => k14_pscomp_1(k1_sppol_2(A, B, C, D))=k1_rltopsp1(k15_euclid(2), k19_euclid(A, C), k19_euclid(A, D))) ) ) ) ) ) ) ) ) ).
fof(t45_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(A, B) & r1_xxreal_0(C, D))  => k16_pscomp_1(k1_sppol_2(A, B, C, D))=k1_rltopsp1(k15_euclid(2), k19_euclid(B, C), k19_euclid(B, D))) ) ) ) ) ) ) ) ) ).
fof(t46_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(A, B) & r1_xxreal_0(C, D))  =>  (k18_pscomp_1(k1_sppol_2(A, B, C, D))=k19_euclid(A, C) & k22_pscomp_1(k1_sppol_2(A, B, C, D))=k19_euclid(B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t47_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  ( ~ (r1_xxreal_0(D, C))  &  ~ ( (r1_topreal1(k15_euclid(2), k18_pscomp_1(k1_sppol_2(A, B, C, D)), k22_pscomp_1(k1_sppol_2(A, B, C, D)), k4_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k19_euclid(A, C), k19_euclid(A, D)), k1_rltopsp1(k15_euclid(2), k19_euclid(A, D), k19_euclid(B, D)))) & r1_topreal1(k15_euclid(2), k22_pscomp_1(k1_sppol_2(A, B, C, D)), k18_pscomp_1(k1_sppol_2(A, B, C, D)), k4_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k19_euclid(A, C), k19_euclid(B, C)), k1_rltopsp1(k15_euclid(2), k19_euclid(B, C), k19_euclid(B, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m2_finseq_1(F, u1_struct_0(k15_euclid(2))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(2))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k15_euclid(2))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k15_euclid(2))) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(k15_euclid(2))) =>  ( (G=k19_euclid(A, C) &  (H=k19_euclid(B, D) &  (I=k19_euclid(A, D) &  (J=k19_euclid(B, C) &  (E=k3_finseq_4(u1_struct_0(k15_euclid(2)), G, I, H) & F=k3_finseq_4(u1_struct_0(k15_euclid(2)), G, J, H)) ) ) ) )  =>  (r1_xxreal_0(B, A) |  (r1_xxreal_0(D, C) |  (v4_topreal1(E) &  (k3_topreal1(2, E)=k4_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), G, I), k1_rltopsp1(k15_euclid(2), I, H)) &  (v4_topreal1(F) &  (k3_topreal1(2, F)=k4_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), G, J), k1_rltopsp1(k15_euclid(2), J, H)) &  (k1_sppol_2(A, B, C, D)=k4_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, E), k3_topreal1(2, F)) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, E), k3_topreal1(2, F))=k2_tarski(G, H) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), E, 1)=G &  (k7_partfun1(u1_struct_0(k15_euclid(2)), E, k3_finseq_1(E))=H &  (k7_partfun1(u1_struct_0(k15_euclid(2)), F, 1)=G & k7_partfun1(u1_struct_0(k15_euclid(2)), F, k3_finseq_1(F))=H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_jgraph_6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (m2_finseq_1(G, u1_struct_0(k15_euclid(2))) =>  (! [H] :  (m2_finseq_1(H, u1_struct_0(k15_euclid(2))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k15_euclid(2))) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(k15_euclid(2))) =>  ( (I=k19_euclid(C, E) &  (J=k19_euclid(D, F) &  (G=k3_finseq_4(u1_struct_0(k15_euclid(2)), k19_euclid(C, E), k19_euclid(C, F), k19_euclid(D, F)) &  (H=k3_finseq_4(u1_struct_0(k15_euclid(2)), k19_euclid(C, E), k19_euclid(D, E), k19_euclid(D, F)) &  (A=k3_topreal1(2, G) & B=k3_topreal1(2, H)) ) ) ) )  =>  (r1_xxreal_0(D, C) |  (r1_xxreal_0(F, E) |  (r1_topreal1(k15_euclid(2), I, J, A) &  (r1_topreal1(k15_euclid(2), I, J, B) &  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (k1_sppol_2(C, D, E, F)=k4_subset_1(u1_struct_0(k15_euclid(2)), A, B) & k9_subset_1(u1_struct_0(k15_euclid(2)), A, B)=k2_tarski(I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  ( ~ (r1_xxreal_0(D, C))  &  ~ (v1_topreal2(k1_sppol_2(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  ( ~ (r1_xxreal_0(D, C))  &  ~ (k8_jordan6(k1_sppol_2(A, B, C, D))=k4_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k19_euclid(A, C), k19_euclid(A, D)), k1_rltopsp1(k15_euclid(2), k19_euclid(A, D), k19_euclid(B, D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  ( ~ (r1_xxreal_0(D, C))  &  ~ (k9_jordan6(k1_sppol_2(A, B, C, D))=k4_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k19_euclid(A, C), k19_euclid(B, C)), k1_rltopsp1(k15_euclid(2), k19_euclid(B, C), k19_euclid(B, D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  ( ~ (r1_xxreal_0(D, C))  &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), k8_jordan6(k1_sppol_2(A, B, C, D))))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), k8_jordan6(k1_sppol_2(A, B, C, D)))))))) )  =>  ~ ( (v3_tops_2(E, k5_topmetr, k1_pre_topc(k15_euclid(2), k8_jordan6(k1_sppol_2(A, B, C, D)))) &  (k1_funct_1(E, k5_numbers)=k18_pscomp_1(k1_sppol_2(A, B, C, D)) &  (k1_funct_1(E, 1)=k22_pscomp_1(k1_sppol_2(A, B, C, D)) &  (k2_relset_1(u1_struct_0(k1_pre_topc(k15_euclid(2), k8_jordan6(k1_sppol_2(A, B, C, D)))), E)=k8_jordan6(k1_sppol_2(A, B, C, D)) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, k1_rcomp_1(k5_numbers, k7_xcmplx_0(1, 2))) => k1_funct_1(E, F)=k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k19_euclid(A, C), k6_xcmplx_0(1, k3_xcmplx_0(2, F))), k1_rlvect_1(k15_euclid(2), k19_euclid(A, D), k3_xcmplx_0(2, F)))) ) )  &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, k1_rcomp_1(k7_xcmplx_0(1, 2), 1)) => k1_funct_1(E, F)=k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k19_euclid(A, D), k6_xcmplx_0(1, k6_xcmplx_0(k3_xcmplx_0(2, F), 1))), k1_rlvect_1(k15_euclid(2), k19_euclid(B, D), k6_xcmplx_0(k3_xcmplx_0(2, F), 1)))) ) )  &  ( (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(F, k1_rltopsp1(k15_euclid(2), k19_euclid(A, C), k19_euclid(A, D))) =>  (r1_xxreal_0(k5_numbers, k7_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k18_euclid(F), C), k6_xcmplx_0(D, C)), 2)) &  (r1_xxreal_0(k7_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k18_euclid(F), C), k6_xcmplx_0(D, C)), 2), 1) & k1_funct_1(E, k7_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k18_euclid(F), C), k6_xcmplx_0(D, C)), 2))=F) ) ) ) )  &  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(F, k1_rltopsp1(k15_euclid(2), k19_euclid(A, D), k19_euclid(B, D))) =>  (r1_xxreal_0(k5_numbers, k2_xcmplx_0(k7_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k17_euclid(F), A), k6_xcmplx_0(B, A)), 2), k7_xcmplx_0(1, 2))) &  (r1_xxreal_0(k2_xcmplx_0(k7_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k17_euclid(F), A), k6_xcmplx_0(B, A)), 2), k7_xcmplx_0(1, 2)), 1) & k1_funct_1(E, k2_xcmplx_0(k7_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k17_euclid(F), A), k6_xcmplx_0(B, A)), 2), k7_xcmplx_0(1, 2)))=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  ( ~ (r1_xxreal_0(D, C))  &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), k9_jordan6(k1_sppol_2(A, B, C, D))))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), k9_jordan6(k1_sppol_2(A, B, C, D)))))))) )  =>  ~ ( (v3_tops_2(E, k5_topmetr, k1_pre_topc(k15_euclid(2), k9_jordan6(k1_sppol_2(A, B, C, D)))) &  (k1_funct_1(E, k5_numbers)=k22_pscomp_1(k1_sppol_2(A, B, C, D)) &  (k1_funct_1(E, 1)=k18_pscomp_1(k1_sppol_2(A, B, C, D)) &  (k2_relset_1(u1_struct_0(k1_pre_topc(k15_euclid(2), k9_jordan6(k1_sppol_2(A, B, C, D)))), E)=k9_jordan6(k1_sppol_2(A, B, C, D)) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, k1_rcomp_1(k5_numbers, k7_xcmplx_0(1, 2))) => k1_funct_1(E, F)=k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k19_euclid(B, D), k6_xcmplx_0(1, k3_xcmplx_0(2, F))), k1_rlvect_1(k15_euclid(2), k19_euclid(B, C), k3_xcmplx_0(2, F)))) ) )  &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, k1_rcomp_1(k7_xcmplx_0(1, 2), 1)) => k1_funct_1(E, F)=k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), k19_euclid(B, C), k6_xcmplx_0(1, k6_xcmplx_0(k3_xcmplx_0(2, F), 1))), k1_rlvect_1(k15_euclid(2), k19_euclid(A, C), k6_xcmplx_0(k3_xcmplx_0(2, F), 1)))) ) )  &  ( (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(F, k1_rltopsp1(k15_euclid(2), k19_euclid(B, D), k19_euclid(B, C))) =>  (r1_xxreal_0(k5_numbers, k7_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k18_euclid(F), D), k6_xcmplx_0(C, D)), 2)) &  (r1_xxreal_0(k7_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k18_euclid(F), D), k6_xcmplx_0(C, D)), 2), 1) & k1_funct_1(E, k7_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k18_euclid(F), D), k6_xcmplx_0(C, D)), 2))=F) ) ) ) )  &  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(F, k1_rltopsp1(k15_euclid(2), k19_euclid(B, C), k19_euclid(A, C))) =>  (r1_xxreal_0(k5_numbers, k2_xcmplx_0(k7_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k17_euclid(F), B), k6_xcmplx_0(A, B)), 2), k7_xcmplx_0(1, 2))) &  (r1_xxreal_0(k2_xcmplx_0(k7_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k17_euclid(F), B), k6_xcmplx_0(A, B)), 2), k7_xcmplx_0(1, 2)), 1) & k1_funct_1(E, k2_xcmplx_0(k7_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k17_euclid(F), B), k6_xcmplx_0(A, B)), 2), k7_xcmplx_0(1, 2)))=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(E, k1_rltopsp1(k15_euclid(2), k19_euclid(A, C), k19_euclid(A, D))) & r2_tarski(F, k1_rltopsp1(k15_euclid(2), k19_euclid(A, C), k19_euclid(A, D))))  =>  (r1_xxreal_0(B, A) |  (r1_xxreal_0(D, C) |  (r1_jordan6(k1_sppol_2(A, B, C, D), E, F) <=> r1_xxreal_0(k18_euclid(E), k18_euclid(F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(E, k1_rltopsp1(k15_euclid(2), k19_euclid(A, D), k19_euclid(B, D))) & r2_tarski(F, k1_rltopsp1(k15_euclid(2), k19_euclid(A, D), k19_euclid(B, D))))  =>  (r1_xxreal_0(B, A) |  (r1_xxreal_0(D, C) |  (r1_jordan6(k1_sppol_2(A, B, C, D), E, F) <=> r1_xxreal_0(k17_euclid(E), k17_euclid(F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(E, k1_rltopsp1(k15_euclid(2), k19_euclid(B, C), k19_euclid(B, D))) & r2_tarski(F, k1_rltopsp1(k15_euclid(2), k19_euclid(B, C), k19_euclid(B, D))))  =>  (r1_xxreal_0(B, A) |  (r1_xxreal_0(D, C) |  (r1_jordan6(k1_sppol_2(A, B, C, D), E, F) <=> r1_xxreal_0(k18_euclid(F), k18_euclid(E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(E, k1_rltopsp1(k15_euclid(2), k19_euclid(A, C), k19_euclid(B, C))) & r2_tarski(F, k1_rltopsp1(k15_euclid(2), k19_euclid(A, C), k19_euclid(B, C))))  =>  (r1_xxreal_0(B, A) |  (r1_xxreal_0(D, C) |  ( (r1_jordan6(k1_sppol_2(A, B, C, D), E, F) =>  (E=k18_pscomp_1(k1_sppol_2(A, B, C, D)) |  (r1_xxreal_0(k17_euclid(F), k17_euclid(E)) &  ~ (F=k18_pscomp_1(k1_sppol_2(A, B, C, D))) ) ) )  &  (r1_xxreal_0(k17_euclid(F), k17_euclid(E)) =>  (F=k18_pscomp_1(k1_sppol_2(A, B, C, D)) |  (r1_jordan6(k1_sppol_2(A, B, C, D), E, F) &  ~ (E=k18_pscomp_1(k1_sppol_2(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(E, k1_rltopsp1(k15_euclid(2), k19_euclid(A, C), k19_euclid(A, D))) =>  (r1_xxreal_0(B, A) |  (r1_xxreal_0(D, C) |  (r1_jordan6(k1_sppol_2(A, B, C, D), E, F) <=>  ~ ( ( ~ ( (r2_tarski(F, k1_rltopsp1(k15_euclid(2), k19_euclid(A, C), k19_euclid(A, D))) & r1_xxreal_0(k18_euclid(E), k18_euclid(F))) )  &  ( ~ (r2_tarski(F, k1_rltopsp1(k15_euclid(2), k19_euclid(A, D), k19_euclid(B, D))))  &  ( ~ (r2_tarski(F, k1_rltopsp1(k15_euclid(2), k19_euclid(B, D), k19_euclid(B, C))))  &  ~ ( (r2_tarski(F, k1_rltopsp1(k15_euclid(2), k19_euclid(B, C), k19_euclid(A, C))) &  ~ (F=k18_pscomp_1(k1_sppol_2(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(E, k1_rltopsp1(k15_euclid(2), k19_euclid(A, D), k19_euclid(B, D))) =>  (r1_xxreal_0(B, A) |  (r1_xxreal_0(D, C) |  (r1_jordan6(k1_sppol_2(A, B, C, D), E, F) <=>  ~ ( ( ~ ( (r2_tarski(F, k1_rltopsp1(k15_euclid(2), k19_euclid(A, D), k19_euclid(B, D))) & r1_xxreal_0(k17_euclid(E), k17_euclid(F))) )  &  ( ~ (r2_tarski(F, k1_rltopsp1(k15_euclid(2), k19_euclid(B, D), k19_euclid(B, C))))  &  ~ ( (r2_tarski(F, k1_rltopsp1(k15_euclid(2), k19_euclid(B, C), k19_euclid(A, C))) &  ~ (F=k18_pscomp_1(k1_sppol_2(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(E, k1_rltopsp1(k15_euclid(2), k19_euclid(B, D), k19_euclid(B, C))) =>  (r1_xxreal_0(B, A) |  (r1_xxreal_0(D, C) |  (r1_jordan6(k1_sppol_2(A, B, C, D), E, F) <=>  ( (r2_tarski(F, k1_rltopsp1(k15_euclid(2), k19_euclid(B, D), k19_euclid(B, C))) & r1_xxreal_0(k18_euclid(F), k18_euclid(E)))  |  (r2_tarski(F, k1_rltopsp1(k15_euclid(2), k19_euclid(B, C), k19_euclid(A, C))) &  ~ (F=k18_pscomp_1(k1_sppol_2(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(E, k1_rltopsp1(k15_euclid(2), k19_euclid(B, C), k19_euclid(A, C))) =>  (r1_xxreal_0(B, A) |  (r1_xxreal_0(D, C) |  (E=k18_pscomp_1(k1_sppol_2(A, B, C, D)) |  (r1_jordan6(k1_sppol_2(A, B, C, D), E, F) <=>  (r2_tarski(F, k1_rltopsp1(k15_euclid(2), k19_euclid(B, C), k19_euclid(A, C))) &  (r1_xxreal_0(k17_euclid(F), k17_euclid(E)) &  ~ (F=k18_pscomp_1(k1_sppol_2(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_jgraph_6, axiom,  (! [A] :  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_tarski(A, k1_sppol_2(B, C, D, E)) &  ( ~ (r1_xxreal_0(C, B))  &  ( ~ (r1_xxreal_0(E, D))  &  ( ~ (r2_tarski(A, k1_rltopsp1(k15_euclid(2), k19_euclid(B, D), k19_euclid(B, E))))  &  ( ~ (r2_tarski(A, k1_rltopsp1(k15_euclid(2), k19_euclid(B, E), k19_euclid(C, E))))  &  ( ~ (r2_tarski(A, k1_rltopsp1(k15_euclid(2), k19_euclid(C, E), k19_euclid(C, D))))  &  ~ (r2_tarski(A, k1_rltopsp1(k15_euclid(2), k19_euclid(C, D), k19_euclid(B, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_jgraph_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_jordan6(k1_sppol_2(k4_xcmplx_0(1), 1, k4_xcmplx_0(1), 1), A, B) &  (r2_tarski(A, k1_rltopsp1(k15_euclid(2), k19_euclid(k4_xcmplx_0(1), k4_xcmplx_0(1)), k19_euclid(k4_xcmplx_0(1), 1))) &  ( ~ ( (r2_tarski(B, k1_rltopsp1(k15_euclid(2), k19_euclid(k4_xcmplx_0(1), k4_xcmplx_0(1)), k19_euclid(k4_xcmplx_0(1), 1))) & r1_xxreal_0(k18_euclid(A), k18_euclid(B))) )  &  ( ~ (r2_tarski(B, k1_rltopsp1(k15_euclid(2), k19_euclid(k4_xcmplx_0(1), 1), k19_euclid(1, 1))))  &  ( ~ (r2_tarski(B, k1_rltopsp1(k15_euclid(2), k19_euclid(1, 1), k19_euclid(1, k4_xcmplx_0(1)))))  &  ~ ( (r2_tarski(B, k1_rltopsp1(k15_euclid(2), k19_euclid(1, k4_xcmplx_0(1)), k19_euclid(k4_xcmplx_0(1), k4_xcmplx_0(1)))) &  ~ (B=k19_euclid(k4_xcmplx_0(1), k4_xcmplx_0(1))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_jgraph_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_compts_1(C, k15_euclid(2)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  ( (C=k5_jgraph_6(k5_numbers, k5_numbers, 1) &  (r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), D, k1_jgraph_3) &  (r2_tarski(A, k1_rltopsp1(k15_euclid(2), k19_euclid(k4_xcmplx_0(1), k4_xcmplx_0(1)), k19_euclid(k4_xcmplx_0(1), 1))) &  (r1_xxreal_0(k5_numbers, k18_euclid(A)) & r1_jordan6(k1_sppol_2(k4_xcmplx_0(1), 1, k4_xcmplx_0(1), 1), A, B)) ) ) )  => r1_jordan6(C, k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), D, A), k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), D, B))) ) ) ) ) ) ) ) ) ).
fof(t66_jgraph_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v2_compts_1(D, k15_euclid(2)) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  ( (D=k5_jgraph_6(k5_numbers, k5_numbers, 1) &  (r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), E, k1_jgraph_3) &  (r2_tarski(A, k1_rltopsp1(k15_euclid(2), k19_euclid(k4_xcmplx_0(1), k4_xcmplx_0(1)), k19_euclid(k4_xcmplx_0(1), 1))) &  (r1_xxreal_0(k5_numbers, k18_euclid(A)) &  (r1_jordan6(k1_sppol_2(k4_xcmplx_0(1), 1, k4_xcmplx_0(1), 1), A, B) & r1_jordan6(k1_sppol_2(k4_xcmplx_0(1), 1, k4_xcmplx_0(1), 1), B, C)) ) ) ) )  => r1_jordan6(D, k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), E, B), k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), E, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_jgraph_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  ( (r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), B, k1_jgraph_3) & k17_euclid(A)=k4_xcmplx_0(1))  =>  (r1_xxreal_0(k5_numbers, k18_euclid(A)) |  ( ~ (r1_xxreal_0(k5_numbers, k17_euclid(k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), B, A))))  &  ~ (r1_xxreal_0(k5_numbers, k18_euclid(k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), B, A)))) ) ) ) ) ) ) ) ).
fof(t68_jgraph_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  (r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), C, k1_jgraph_3) =>  (r1_xxreal_0(k5_numbers, k17_euclid(k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), C, A))) <=> r1_xxreal_0(k5_numbers, k17_euclid(A))) ) ) ) ) ) ) ) ).
fof(t69_jgraph_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  (r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), C, k1_jgraph_3) =>  (r1_xxreal_0(k5_numbers, k18_euclid(k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), C, A))) <=> r1_xxreal_0(k5_numbers, k18_euclid(A))) ) ) ) ) ) ) ) ).
fof(t70_jgraph_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  ( (r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), C, k1_jgraph_3) &  (r2_tarski(A, k1_rltopsp1(k15_euclid(2), k19_euclid(k4_xcmplx_0(1), k4_xcmplx_0(1)), k19_euclid(k4_xcmplx_0(1), 1))) & r2_tarski(B, k1_rltopsp1(k15_euclid(2), k19_euclid(1, k4_xcmplx_0(1)), k19_euclid(k4_xcmplx_0(1), k4_xcmplx_0(1))))) )  => r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), C, A)), k17_euclid(k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), C, B)))) ) ) ) ) ) ) ).
fof(t71_jgraph_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  ( (r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), C, k1_jgraph_3) &  (r2_tarski(A, k1_rltopsp1(k15_euclid(2), k19_euclid(k4_xcmplx_0(1), k4_xcmplx_0(1)), k19_euclid(k4_xcmplx_0(1), 1))) &  (r2_tarski(B, k1_rltopsp1(k15_euclid(2), k19_euclid(k4_xcmplx_0(1), k4_xcmplx_0(1)), k19_euclid(k4_xcmplx_0(1), 1))) & r1_xxreal_0(k18_euclid(B), k18_euclid(A))) ) )  =>  (r1_xxreal_0(k5_numbers, k18_euclid(A)) | r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), C, B)), k18_euclid(k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), C, A)))) ) ) ) ) ) ) ) ).
fof(t72_jgraph_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v2_compts_1(E, k15_euclid(2)) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  ( (E=k5_jgraph_6(k5_numbers, k5_numbers, 1) &  (r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, k1_jgraph_3) &  (r1_jordan6(k1_sppol_2(k4_xcmplx_0(1), 1, k4_xcmplx_0(1), 1), A, B) &  (r1_jordan6(k1_sppol_2(k4_xcmplx_0(1), 1, k4_xcmplx_0(1), 1), B, C) & r1_jordan6(k1_sppol_2(k4_xcmplx_0(1), 1, k4_xcmplx_0(1), 1), C, D)) ) ) )  => r1_jordan17(E, k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, A), k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, B), k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, C), k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t73_jgraph_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_compts_1(C, k15_euclid(2)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ( (v1_topreal2(C) &  (r2_tarski(A, C) & r2_tarski(B, C)) )  =>  (r1_jordan6(C, A, B) | r1_jordan6(C, B, A)) ) ) ) ) ) ) ) ).
fof(t74_jgraph_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v2_compts_1(D, k15_euclid(2)) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ~ ( (v1_topreal2(D) &  (r2_tarski(A, D) &  (r2_tarski(B, D) &  (r2_tarski(C, D) &  ( ~ ( (r1_jordan6(D, A, B) & r1_jordan6(D, B, C)) )  &  ( ~ ( (r1_jordan6(D, A, C) & r1_jordan6(D, C, B)) )  &  ( ~ ( (r1_jordan6(D, B, A) & r1_jordan6(D, A, C)) )  &  ( ~ ( (r1_jordan6(D, B, C) & r1_jordan6(D, C, A)) )  &  ( ~ ( (r1_jordan6(D, C, A) & r1_jordan6(D, A, B)) )  &  ~ ( (r1_jordan6(D, C, B) & r1_jordan6(D, B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_jgraph_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v2_compts_1(D, k15_euclid(2)) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ~ ( (v1_topreal2(D) &  (r2_tarski(A, D) &  (r2_tarski(B, D) &  (r2_tarski(C, D) &  (r1_jordan6(D, B, C) &  ( ~ (r1_jordan6(D, A, B))  &  ( ~ ( (r1_jordan6(D, B, A) & r1_jordan6(D, A, C)) )  &  ~ (r1_jordan6(D, C, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t76_jgraph_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v2_compts_1(E, k15_euclid(2)) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ~ ( (v1_topreal2(E) &  (r2_tarski(A, E) &  (r2_tarski(B, E) &  (r2_tarski(C, E) &  (r2_tarski(D, E) &  (r1_jordan6(E, B, C) &  (r1_jordan6(E, C, D) &  ( ~ (r1_jordan6(E, A, B))  &  ( ~ ( (r1_jordan6(E, B, A) & r1_jordan6(E, A, C)) )  &  ( ~ ( (r1_jordan6(E, C, A) & r1_jordan6(E, A, D)) )  &  ~ (r1_jordan6(E, D, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t77_jgraph_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v2_compts_1(E, k15_euclid(2)) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  ( (E=k5_jgraph_6(k5_numbers, k5_numbers, 1) &  (r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, k1_jgraph_3) &  (r1_jordan6(E, k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, A), k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, B)) &  (r1_jordan6(E, k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, B), k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, C)) & r1_jordan6(E, k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, C), k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, D))) ) ) )  => r1_jordan17(k1_sppol_2(k4_xcmplx_0(1), 1, k4_xcmplx_0(1), 1), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t78_jgraph_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v2_compts_1(E, k15_euclid(2)) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  ( (E=k5_jgraph_6(k5_numbers, k5_numbers, 1) & r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, k1_jgraph_3))  =>  (r1_jordan17(k1_sppol_2(k4_xcmplx_0(1), 1, k4_xcmplx_0(1), 1), A, B, C, D) <=> r1_jordan17(E, k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, A), k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, B), k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, C), k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t79_jgraph_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r1_jordan17(k1_sppol_2(k4_xcmplx_0(1), 1, k4_xcmplx_0(1), 1), A, B, C, D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( (v5_pre_topc(E, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(E) &  (v5_pre_topc(F, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(F) &  (k1_funct_1(E, k5_numbers)=A &  (k1_funct_1(E, 1)=C &  (k1_funct_1(F, k5_numbers)=B &  (k1_funct_1(F, 1)=D &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), E), k2_jgraph_6(k4_xcmplx_0(1), 1, k4_xcmplx_0(1), 1)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), F), k2_jgraph_6(k4_xcmplx_0(1), 1, k4_xcmplx_0(1), 1)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), E), k2_relset_1(u1_struct_0(k15_euclid(2)), F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_jgraph_6, axiom,  (! [A, B, C, D] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v1_xreal_0(C) & v1_xreal_0(D)) ) )  => m1_subset_1(k1_jgraph_6(A, B, C, D), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k2_jgraph_6, axiom,  (! [A, B, C, D] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v1_xreal_0(C) & v1_xreal_0(D)) ) )  => m1_subset_1(k2_jgraph_6(A, B, C, D), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k3_jgraph_6, axiom,  (! [A, B, C, D] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v1_xreal_0(C) & v1_xreal_0(D)) ) )  => m1_subset_1(k3_jgraph_6(A, B, C, D), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k4_jgraph_6, axiom,  (! [A, B, C, D] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v1_xreal_0(C) & v1_xreal_0(D)) ) )  => m1_subset_1(k4_jgraph_6(A, B, C, D), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k5_jgraph_6, axiom,  (! [A, B, C] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) & v1_xreal_0(C)) )  => m1_subset_1(k5_jgraph_6(A, B, C), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k6_jgraph_6, axiom,  (! [A, B, C] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) & v1_xreal_0(C)) )  => m1_subset_1(k6_jgraph_6(A, B, C), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k7_jgraph_6, axiom,  (! [A, B, C] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) & v1_xreal_0(C)) )  => m1_subset_1(k7_jgraph_6(A, B, C), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k8_jgraph_6, axiom,  (! [A, B, C] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) & v1_xreal_0(C)) )  => m1_subset_1(k8_jgraph_6(A, B, C), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k9_jgraph_6, axiom,  (! [A, B, C] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) & v1_xreal_0(C)) )  => m1_subset_1(k9_jgraph_6(A, B, C), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(t11_jgraph_6, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (A=a_0_0_jgraph_6 => k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k1_jgraph_3, k19_euclid(k4_xcmplx_0(1), k5_numbers))=k18_pscomp_1(A)) ) ) ).
fof(t14_jgraph_6, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k5_topmetr)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k5_topmetr)) =>  ~ ( (H=k5_numbers &  (I=1 &  (v5_pre_topc(A, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(A) &  (v5_pre_topc(B, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(B) &  (C=a_0_1_jgraph_6 &  (D=a_0_2_jgraph_6 &  (E=a_0_3_jgraph_6 &  (F=a_0_4_jgraph_6 &  (G=a_0_5_jgraph_6 &  (r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, H), D) &  (r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, I), E) &  (r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, H), F) &  (r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, I), G) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), A), C) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), B), C) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), A), k2_relset_1(u1_struct_0(k15_euclid(2)), B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_jgraph_6, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k5_topmetr)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k5_topmetr)) =>  ~ ( (H=k5_numbers &  (I=1 &  (v5_pre_topc(A, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(A) &  (v5_pre_topc(B, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(B) &  (C=a_0_1_jgraph_6 &  (D=a_0_2_jgraph_6 &  (E=a_0_3_jgraph_6 &  (F=a_0_4_jgraph_6 &  (G=a_0_5_jgraph_6 &  (r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, H), D) &  (r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), A, I), E) &  (r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, H), G) &  (r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), B, I), F) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), A), C) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), B), C) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), A), k2_relset_1(u1_struct_0(k15_euclid(2)), B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_jgraph_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v2_compts_1(E, k15_euclid(2)) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (E=a_0_0_jgraph_6 &  (r1_jordan6(E, A, B) &  (r1_jordan6(E, B, C) & r1_jordan6(E, C, D)) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( (v5_pre_topc(G, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(G) &  (v5_pre_topc(H, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(H) &  (F=a_0_1_jgraph_6 &  (k1_funct_1(G, k5_numbers)=C &  (k1_funct_1(G, 1)=A &  (k1_funct_1(H, k5_numbers)=B &  (k1_funct_1(H, 1)=D &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), G), F) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), H), F) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), G), k2_relset_1(u1_struct_0(k15_euclid(2)), H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_jgraph_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v2_compts_1(E, k15_euclid(2)) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (E=a_0_0_jgraph_6 &  (r1_jordan6(E, A, B) &  (r1_jordan6(E, B, C) & r1_jordan6(E, C, D)) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( (v5_pre_topc(G, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(G) &  (v5_pre_topc(H, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(H) &  (F=a_0_1_jgraph_6 &  (k1_funct_1(G, k5_numbers)=C &  (k1_funct_1(G, 1)=A &  (k1_funct_1(H, k5_numbers)=D &  (k1_funct_1(H, 1)=B &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), G), F) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), H), F) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), G), k2_relset_1(u1_struct_0(k15_euclid(2)), H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_jgraph_6, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v2_compts_1(E, k15_euclid(2)) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (E=a_0_0_jgraph_6 & r1_jordan17(E, A, B, C, D))  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( (v5_pre_topc(G, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(G) &  (v5_pre_topc(H, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(H) &  (F=a_0_1_jgraph_6 &  (k1_funct_1(G, k5_numbers)=A &  (k1_funct_1(G, 1)=C &  (k1_funct_1(H, k5_numbers)=B &  (k1_funct_1(H, 1)=D &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), G), F) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), H), F) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), G), k2_relset_1(u1_struct_0(k15_euclid(2)), H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => k1_jgraph_6(A, B, C, D)=a_4_0_jgraph_6(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(d2_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => k2_jgraph_6(A, B, C, D)=a_4_1_jgraph_6(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(d3_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => k3_jgraph_6(A, B, C, D)=a_4_2_jgraph_6(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(d4_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => k4_jgraph_6(A, B, C, D)=a_4_3_jgraph_6(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t20_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (r1_xxreal_0(k5_numbers, C) &  (D=a_0_0_jgraph_6 & E=a_3_0_jgraph_6(A, B, C)) )  => k7_relset_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k2_jgraph_2(C, A, C, B), D)=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (D=a_3_0_jgraph_6(A, B, C) =>  (r1_xxreal_0(C, k5_numbers) | v1_topreal2(D)) ) ) ) ) ) ) ) ) ) ).
fof(d5_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) => k5_jgraph_6(A, B, C)=a_3_0_jgraph_6(A, B, C)) ) ) ) ) ) ).
fof(d6_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) => k6_jgraph_6(A, B, C)=a_3_1_jgraph_6(A, B, C)) ) ) ) ) ) ).
fof(d7_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) => k7_jgraph_6(A, B, C)=a_3_2_jgraph_6(A, B, C)) ) ) ) ) ) ).
fof(d8_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) => k8_jgraph_6(A, B, C)=a_3_3_jgraph_6(A, B, C)) ) ) ) ) ) ).
fof(d9_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) => k9_jgraph_6(A, B, C)=a_3_4_jgraph_6(A, B, C)) ) ) ) ) ) ).
fof(t24_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (k6_jgraph_6(k5_numbers, k5_numbers, A)=a_1_0_jgraph_6(A) &  ( ( ~ (r1_xxreal_0(A, k5_numbers))  => k5_jgraph_6(k5_numbers, k5_numbers, A)=a_1_1_jgraph_6(A))  &  (k8_jgraph_6(k5_numbers, k5_numbers, A)=a_1_2_jgraph_6(A) &  (k7_jgraph_6(k5_numbers, k5_numbers, A)=a_1_3_jgraph_6(A) & k9_jgraph_6(k5_numbers, k5_numbers, A)=a_1_4_jgraph_6(A)) ) ) ) ) ) ).
fof(t25_jgraph_6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (A=a_0_6_jgraph_6 & B=a_0_7_jgraph_6)  => k7_relset_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k1_jgraph_3, A)=B) ) ) ) ) ).
fof(t26_jgraph_6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (A=a_0_8_jgraph_6 & B=a_0_9_jgraph_6)  => k7_relset_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k1_jgraph_3, A)=B) ) ) ) ) ).
fof(t27_jgraph_6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (A=a_0_10_jgraph_6 & B=a_0_1_jgraph_6)  => k7_relset_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k1_jgraph_3, A)=B) ) ) ) ) ).
fof(t28_jgraph_6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (A=a_0_11_jgraph_6 & B=a_0_12_jgraph_6)  => k7_relset_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k1_jgraph_3, A)=B) ) ) ) ) ).
fof(t30_jgraph_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(A, B) & r1_xxreal_0(C, D))  =>  (k1_rltopsp1(k15_euclid(2), k19_euclid(A, C), k19_euclid(A, D))=a_3_5_jgraph_6(A, C, D) &  (k1_rltopsp1(k15_euclid(2), k19_euclid(A, D), k19_euclid(B, D))=a_3_6_jgraph_6(A, B, D) &  (k1_rltopsp1(k15_euclid(2), k19_euclid(A, C), k19_euclid(B, C))=a_3_6_jgraph_6(A, B, C) & k1_rltopsp1(k15_euclid(2), k19_euclid(B, C), k19_euclid(B, D))=a_3_5_jgraph_6(B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_jgraph_6, axiom, a_0_13_jgraph_6=a_0_14_jgraph_6).
fof(fraenkel_a_0_0_jgraph_6, axiom,  (! [A] :  (r2_hidden(A, a_0_0_jgraph_6) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B & k12_euclid(B)=1) ) ) ) ) ).
fof(fraenkel_a_0_1_jgraph_6, axiom,  (! [A] :  (r2_hidden(A, a_0_1_jgraph_6) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B & r1_xxreal_0(k12_euclid(B), 1)) ) ) ) ) ).
fof(fraenkel_a_0_2_jgraph_6, axiom,  (! [A] :  (r2_hidden(A, a_0_2_jgraph_6) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B &  (k12_euclid(B)=1 &  (r1_xxreal_0(k18_euclid(B), k17_euclid(B)) & r1_xxreal_0(k4_xcmplx_0(k17_euclid(B)), k18_euclid(B))) ) ) ) ) ) ) ).
fof(fraenkel_a_0_3_jgraph_6, axiom,  (! [A] :  (r2_hidden(A, a_0_3_jgraph_6) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B &  (k12_euclid(B)=1 &  (r1_xxreal_0(k17_euclid(B), k18_euclid(B)) & r1_xxreal_0(k18_euclid(B), k4_xcmplx_0(k17_euclid(B)))) ) ) ) ) ) ) ).
fof(fraenkel_a_0_4_jgraph_6, axiom,  (! [A] :  (r2_hidden(A, a_0_4_jgraph_6) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B &  (k12_euclid(B)=1 &  (r1_xxreal_0(k17_euclid(B), k18_euclid(B)) & r1_xxreal_0(k4_xcmplx_0(k17_euclid(B)), k18_euclid(B))) ) ) ) ) ) ) ).
fof(fraenkel_a_0_5_jgraph_6, axiom,  (! [A] :  (r2_hidden(A, a_0_5_jgraph_6) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B &  (k12_euclid(B)=1 &  (r1_xxreal_0(k18_euclid(B), k17_euclid(B)) & r1_xxreal_0(k18_euclid(B), k4_xcmplx_0(k17_euclid(B)))) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_jgraph_6, axiom,  (! [A, B, C, D, E] :  ( (v1_xreal_0(B) &  (v1_xreal_0(C) &  (v1_xreal_0(D) & v1_xreal_0(E)) ) )  =>  (r2_hidden(A, a_4_0_jgraph_6(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) &  (A=F &  ( ~ (r1_xxreal_0(k17_euclid(F), B))  &  ( ~ (r1_xxreal_0(C, k17_euclid(F)))  &  ( ~ (r1_xxreal_0(k18_euclid(F), D))  &  ~ (r1_xxreal_0(E, k18_euclid(F))) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_1_jgraph_6, axiom,  (! [A, B, C, D, E] :  ( (v1_xreal_0(B) &  (v1_xreal_0(C) &  (v1_xreal_0(D) & v1_xreal_0(E)) ) )  =>  (r2_hidden(A, a_4_1_jgraph_6(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) &  (A=F &  (r1_xxreal_0(B, k17_euclid(F)) &  (r1_xxreal_0(k17_euclid(F), C) &  (r1_xxreal_0(D, k18_euclid(F)) & r1_xxreal_0(k18_euclid(F), E)) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_2_jgraph_6, axiom,  (! [A, B, C, D, E] :  ( (v1_xreal_0(B) &  (v1_xreal_0(C) &  (v1_xreal_0(D) & v1_xreal_0(E)) ) )  =>  (r2_hidden(A, a_4_2_jgraph_6(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) &  (A=F &  ~ ( (r1_xxreal_0(B, k17_euclid(F)) &  (r1_xxreal_0(k17_euclid(F), C) &  (r1_xxreal_0(D, k18_euclid(F)) & r1_xxreal_0(k18_euclid(F), E)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_3_jgraph_6, axiom,  (! [A, B, C, D, E] :  ( (v1_xreal_0(B) &  (v1_xreal_0(C) &  (v1_xreal_0(D) & v1_xreal_0(E)) ) )  =>  (r2_hidden(A, a_4_3_jgraph_6(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) &  (A=F &  ~ ( ( ~ (r1_xxreal_0(k17_euclid(F), B))  &  ( ~ (r1_xxreal_0(C, k17_euclid(F)))  &  ( ~ (r1_xxreal_0(k18_euclid(F), D))  &  ~ (r1_xxreal_0(E, k18_euclid(F))) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_jgraph_6, axiom,  (! [A, B, C, D] :  ( (v1_xreal_0(B) &  (v1_xreal_0(C) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_0_jgraph_6(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) &  (A=E & k12_euclid(k5_algstr_0(k15_euclid(2), E, k19_euclid(B, C)))=D) ) ) ) ) ) ).
fof(fraenkel_a_3_1_jgraph_6, axiom,  (! [A, B, C, D] :  ( (v1_xreal_0(B) &  (v1_xreal_0(C) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_1_jgraph_6(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) &  (A=E &  ~ (r1_xxreal_0(D, k12_euclid(k5_algstr_0(k15_euclid(2), E, k19_euclid(B, C))))) ) ) ) ) ) ) ).
fof(fraenkel_a_3_2_jgraph_6, axiom,  (! [A, B, C, D] :  ( (v1_xreal_0(B) &  (v1_xreal_0(C) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_2_jgraph_6(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) &  (A=E & r1_xxreal_0(k12_euclid(k5_algstr_0(k15_euclid(2), E, k19_euclid(B, C))), D)) ) ) ) ) ) ).
fof(fraenkel_a_3_3_jgraph_6, axiom,  (! [A, B, C, D] :  ( (v1_xreal_0(B) &  (v1_xreal_0(C) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_3_jgraph_6(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) &  (A=E &  ~ (r1_xxreal_0(k12_euclid(k5_algstr_0(k15_euclid(2), E, k19_euclid(B, C))), D)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_4_jgraph_6, axiom,  (! [A, B, C, D] :  ( (v1_xreal_0(B) &  (v1_xreal_0(C) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_4_jgraph_6(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) &  (A=E & r1_xxreal_0(D, k12_euclid(k5_algstr_0(k15_euclid(2), E, k19_euclid(B, C))))) ) ) ) ) ) ).
fof(fraenkel_a_1_0_jgraph_6, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_0_jgraph_6(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (A=C &  ~ (r1_xxreal_0(B, k12_euclid(C))) ) ) ) ) ) ) ).
fof(fraenkel_a_1_1_jgraph_6, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_1_jgraph_6(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (A=C & k12_euclid(C)=B) ) ) ) ) ) ).
fof(fraenkel_a_1_2_jgraph_6, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_2_jgraph_6(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (A=C &  ~ (r1_xxreal_0(k12_euclid(C), B)) ) ) ) ) ) ) ).
fof(fraenkel_a_1_3_jgraph_6, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_3_jgraph_6(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (A=C & r1_xxreal_0(k12_euclid(C), B)) ) ) ) ) ) ).
fof(fraenkel_a_1_4_jgraph_6, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_4_jgraph_6(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (A=C & r1_xxreal_0(B, k12_euclid(C))) ) ) ) ) ) ).
fof(fraenkel_a_0_6_jgraph_6, axiom,  (! [A] :  (r2_hidden(A, a_0_6_jgraph_6) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B &  ( ~ (r1_xxreal_0(k17_euclid(B), k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, k17_euclid(B)))  &  ( ~ (r1_xxreal_0(k18_euclid(B), k4_xcmplx_0(1)))  &  ~ (r1_xxreal_0(1, k18_euclid(B))) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_0_7_jgraph_6, axiom,  (! [A] :  (r2_hidden(A, a_0_7_jgraph_6) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B &  ~ (r1_xxreal_0(1, k12_euclid(B))) ) ) ) ) ) ).
fof(fraenkel_a_0_8_jgraph_6, axiom,  (! [A] :  (r2_hidden(A, a_0_8_jgraph_6) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B &  ~ ( (r1_xxreal_0(k4_xcmplx_0(1), k17_euclid(B)) &  (r1_xxreal_0(k17_euclid(B), 1) &  (r1_xxreal_0(k4_xcmplx_0(1), k18_euclid(B)) & r1_xxreal_0(k18_euclid(B), 1)) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_0_9_jgraph_6, axiom,  (! [A] :  (r2_hidden(A, a_0_9_jgraph_6) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B &  ~ (r1_xxreal_0(k12_euclid(B), 1)) ) ) ) ) ) ).
fof(fraenkel_a_0_10_jgraph_6, axiom,  (! [A] :  (r2_hidden(A, a_0_10_jgraph_6) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B &  (r1_xxreal_0(k4_xcmplx_0(1), k17_euclid(B)) &  (r1_xxreal_0(k17_euclid(B), 1) &  (r1_xxreal_0(k4_xcmplx_0(1), k18_euclid(B)) & r1_xxreal_0(k18_euclid(B), 1)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_0_11_jgraph_6, axiom,  (! [A] :  (r2_hidden(A, a_0_11_jgraph_6) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B &  ~ ( ( ~ (r1_xxreal_0(k17_euclid(B), k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(1, k17_euclid(B)))  &  ( ~ (r1_xxreal_0(k18_euclid(B), k4_xcmplx_0(1)))  &  ~ (r1_xxreal_0(1, k18_euclid(B))) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_0_12_jgraph_6, axiom,  (! [A] :  (r2_hidden(A, a_0_12_jgraph_6) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B & r1_xxreal_0(1, k12_euclid(B))) ) ) ) ) ).
fof(fraenkel_a_3_5_jgraph_6, axiom,  (! [A, B, C, D] :  ( (v1_xreal_0(B) &  (v1_xreal_0(C) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_5_jgraph_6(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) &  (A=E &  (k17_euclid(E)=B &  (r1_xxreal_0(k18_euclid(E), D) & r1_xxreal_0(C, k18_euclid(E))) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_6_jgraph_6, axiom,  (! [A, B, C, D] :  ( (v1_xreal_0(B) &  (v1_xreal_0(C) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_6_jgraph_6(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) &  (A=E &  (r1_xxreal_0(k17_euclid(E), C) &  (r1_xxreal_0(B, k17_euclid(E)) & k18_euclid(E)=D) ) ) ) ) ) ) ) ).
fof(fraenkel_a_0_13_jgraph_6, axiom,  (! [A] :  (r2_hidden(A, a_0_13_jgraph_6) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B &  ~ ( ( ~ ( (k4_xcmplx_0(1)=k17_euclid(B) &  (r1_xxreal_0(k4_xcmplx_0(1), k18_euclid(B)) & r1_xxreal_0(k18_euclid(B), 1)) ) )  &  ( ~ ( (k17_euclid(B)=1 &  (r1_xxreal_0(k4_xcmplx_0(1), k18_euclid(B)) & r1_xxreal_0(k18_euclid(B), 1)) ) )  &  ( ~ ( (k4_xcmplx_0(1)=k18_euclid(B) &  (r1_xxreal_0(k4_xcmplx_0(1), k17_euclid(B)) & r1_xxreal_0(k17_euclid(B), 1)) ) )  &  ~ ( (1=k18_euclid(B) &  (r1_xxreal_0(k4_xcmplx_0(1), k17_euclid(B)) & r1_xxreal_0(k17_euclid(B), 1)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_0_14_jgraph_6, axiom,  (! [A] :  (r2_hidden(A, a_0_14_jgraph_6) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (A=B &  ~ ( ( ~ ( (k17_euclid(B)=k4_xcmplx_0(1) &  (r1_xxreal_0(k4_xcmplx_0(1), k18_euclid(B)) & r1_xxreal_0(k18_euclid(B), 1)) ) )  &  ( ~ ( (k18_euclid(B)=1 &  (r1_xxreal_0(k4_xcmplx_0(1), k17_euclid(B)) & r1_xxreal_0(k17_euclid(B), 1)) ) )  &  ( ~ ( (k17_euclid(B)=1 &  (r1_xxreal_0(k4_xcmplx_0(1), k18_euclid(B)) & r1_xxreal_0(k18_euclid(B), 1)) ) )  &  ~ ( (k18_euclid(B)=k4_xcmplx_0(1) &  (r1_xxreal_0(k4_xcmplx_0(1), k17_euclid(B)) & r1_xxreal_0(k17_euclid(B), 1)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_jgraph_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (k18_euclid(D)=C &  (r1_xxreal_0(A, k17_euclid(D)) & r1_xxreal_0(k17_euclid(D), B)) )  =>  (r1_xxreal_0(B, A) | r2_tarski(D, k1_rltopsp1(k15_euclid(2), k19_euclid(A, C), k19_euclid(B, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t2_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  ~ ( (r1_topreal1(k15_euclid(A), C, D, B) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(A))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(A)))))) )  =>  ~ ( (v5_pre_topc(E, k5_topmetr, k15_euclid(A)) &  (v2_funct_1(E) &  (k2_relset_1(u1_struct_0(k15_euclid(A)), E)=B &  (k1_funct_1(E, k5_numbers)=C & k1_funct_1(E, 1)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ( (k17_euclid(A)=k17_euclid(B) &  (r1_xxreal_0(D, k18_euclid(A)) & r1_xxreal_0(k18_euclid(B), E)) )  =>  (r1_xxreal_0(C, k17_euclid(A)) |  (r1_xxreal_0(k18_euclid(B), k18_euclid(A)) | r1_jordan6(k1_sppol_2(k17_euclid(A), C, D, E), A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(D, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(A), k18_euclid(B)) &  (r1_xxreal_0(k17_euclid(A), k17_euclid(B)) & r1_xxreal_0(k17_euclid(B), C)) ) )  =>  (r1_xxreal_0(C, k17_euclid(A)) |  (r1_xxreal_0(k18_euclid(B), D) | r1_jordan6(k1_sppol_2(k17_euclid(A), C, D, k18_euclid(B)), A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(C, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(A), D) &  (r1_xxreal_0(C, k18_euclid(B)) & r1_xxreal_0(k18_euclid(B), D)) ) )  =>  (r1_xxreal_0(k17_euclid(B), k17_euclid(A)) |  (r1_xxreal_0(D, C) | r1_jordan6(k1_sppol_2(k17_euclid(A), k17_euclid(B), C, D), A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(k18_euclid(B), k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(A), D) & r1_xxreal_0(k17_euclid(B), C)) )  =>  (r1_xxreal_0(D, k18_euclid(B)) |  (r1_xxreal_0(k17_euclid(B), k17_euclid(A)) | r1_jordan6(k1_sppol_2(k17_euclid(A), C, k18_euclid(B), D), A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (k18_euclid(A)=F &  (k18_euclid(B)=F &  (r1_xxreal_0(C, k17_euclid(A)) & r1_xxreal_0(k17_euclid(B), D)) ) )  =>  (r1_xxreal_0(D, C) |  (r1_xxreal_0(F, E) |  (r1_xxreal_0(k17_euclid(B), k17_euclid(A)) | r1_jordan6(k1_sppol_2(C, D, E, F), A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (k18_euclid(A)=F &  (k17_euclid(B)=D &  (r1_xxreal_0(C, k17_euclid(A)) &  (r1_xxreal_0(k17_euclid(A), D) &  (r1_xxreal_0(E, k18_euclid(B)) & r1_xxreal_0(k18_euclid(B), F)) ) ) ) )  =>  (r1_xxreal_0(D, C) |  (r1_xxreal_0(F, E) | r1_jordan6(k1_sppol_2(C, D, E, F), A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (k18_euclid(A)=F &  (k18_euclid(B)=E &  (r1_xxreal_0(C, k17_euclid(A)) &  (r1_xxreal_0(k17_euclid(A), D) & r1_xxreal_0(k17_euclid(B), D)) ) ) )  =>  (r1_xxreal_0(D, C) |  (r1_xxreal_0(F, E) |  (r1_xxreal_0(k17_euclid(B), C) | r1_jordan6(k1_sppol_2(C, D, E, F), A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (k17_euclid(A)=D &  (k17_euclid(B)=D &  (r1_xxreal_0(E, k18_euclid(B)) & r1_xxreal_0(k18_euclid(A), F)) ) )  =>  (r1_xxreal_0(D, C) |  (r1_xxreal_0(F, E) |  (r1_xxreal_0(k18_euclid(A), k18_euclid(B)) | r1_jordan6(k1_sppol_2(C, D, E, F), A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (k17_euclid(A)=D &  (k18_euclid(B)=E &  (r1_xxreal_0(E, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(A), F) & r1_xxreal_0(k17_euclid(B), D)) ) ) )  =>  (r1_xxreal_0(D, C) |  (r1_xxreal_0(F, E) |  (r1_xxreal_0(k17_euclid(B), C) | r1_jordan6(k1_sppol_2(C, D, E, F), A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (k18_euclid(A)=E &  (k18_euclid(B)=E & r1_xxreal_0(k17_euclid(A), D)) )  =>  (r1_xxreal_0(D, C) |  (r1_xxreal_0(F, E) |  (r1_xxreal_0(k17_euclid(B), C) |  (r1_xxreal_0(k17_euclid(A), k17_euclid(B)) | r1_jordan6(k1_sppol_2(C, D, E, F), A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (k18_euclid(A)=F &  (k17_euclid(B)=D &  (r1_xxreal_0(C, k17_euclid(A)) &  (r1_xxreal_0(k17_euclid(A), D) &  (r1_xxreal_0(E, k18_euclid(B)) & r1_xxreal_0(k18_euclid(B), F)) ) ) ) )  =>  (r1_xxreal_0(D, C) |  (r1_xxreal_0(F, E) | r1_jordan6(k1_sppol_2(C, D, E, F), A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (k17_euclid(A)=E &  (k17_euclid(B)=E &  (k17_euclid(C)=E &  (k17_euclid(D)=E &  (r1_xxreal_0(G, k18_euclid(A)) & r1_xxreal_0(k18_euclid(D), H)) ) ) ) )  =>  (r1_xxreal_0(F, E) |  (r1_xxreal_0(k18_euclid(B), k18_euclid(A)) |  (r1_xxreal_0(k18_euclid(C), k18_euclid(B)) |  (r1_xxreal_0(k18_euclid(D), k18_euclid(C)) | r1_jordan17(k1_sppol_2(E, F, G, H), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (k17_euclid(A)=E &  (k17_euclid(B)=E &  (k17_euclid(C)=E &  (k18_euclid(D)=H &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(C), H) &  (r1_xxreal_0(E, k17_euclid(D)) & r1_xxreal_0(k17_euclid(D), F)) ) ) ) ) ) )  =>  (r1_xxreal_0(F, E) |  (r1_xxreal_0(H, G) |  (r1_xxreal_0(k18_euclid(B), k18_euclid(A)) |  (r1_xxreal_0(k18_euclid(C), k18_euclid(B)) | r1_jordan17(k1_sppol_2(E, F, G, H), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (k17_euclid(A)=E &  (k17_euclid(B)=E &  (k17_euclid(C)=E &  (k17_euclid(D)=F &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(C), H) &  (r1_xxreal_0(G, k18_euclid(D)) & r1_xxreal_0(k18_euclid(D), H)) ) ) ) ) ) )  =>  (r1_xxreal_0(F, E) |  (r1_xxreal_0(H, G) |  (r1_xxreal_0(k18_euclid(B), k18_euclid(A)) |  (r1_xxreal_0(k18_euclid(C), k18_euclid(B)) | r1_jordan17(k1_sppol_2(E, F, G, H), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (k17_euclid(A)=E &  (k17_euclid(B)=E &  (k17_euclid(C)=E &  (k18_euclid(D)=G &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(C), H) & r1_xxreal_0(k17_euclid(D), F)) ) ) ) ) )  =>  (r1_xxreal_0(F, E) |  (r1_xxreal_0(H, G) |  (r1_xxreal_0(k18_euclid(B), k18_euclid(A)) |  (r1_xxreal_0(k18_euclid(C), k18_euclid(B)) |  (r1_xxreal_0(k17_euclid(D), E) | r1_jordan17(k1_sppol_2(E, F, G, H), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (k17_euclid(A)=E &  (k17_euclid(B)=E &  (k18_euclid(C)=H &  (k18_euclid(D)=H &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(B), H) &  (r1_xxreal_0(E, k17_euclid(C)) & r1_xxreal_0(k17_euclid(D), F)) ) ) ) ) ) )  =>  (r1_xxreal_0(F, E) |  (r1_xxreal_0(H, G) |  (r1_xxreal_0(k18_euclid(B), k18_euclid(A)) |  (r1_xxreal_0(k17_euclid(D), k17_euclid(C)) | r1_jordan17(k1_sppol_2(E, F, G, H), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (k17_euclid(A)=E &  (k17_euclid(B)=E &  (k18_euclid(C)=H &  (k17_euclid(D)=F &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(B), H) &  (r1_xxreal_0(E, k17_euclid(C)) &  (r1_xxreal_0(k17_euclid(C), F) &  (r1_xxreal_0(G, k18_euclid(D)) & r1_xxreal_0(k18_euclid(D), H)) ) ) ) ) ) ) ) )  =>  (r1_xxreal_0(F, E) |  (r1_xxreal_0(H, G) |  (r1_xxreal_0(k18_euclid(B), k18_euclid(A)) | r1_jordan17(k1_sppol_2(E, F, G, H), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (k17_euclid(A)=E &  (k17_euclid(B)=E &  (k18_euclid(C)=H &  (k18_euclid(D)=G &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(B), H) &  (r1_xxreal_0(E, k17_euclid(C)) &  (r1_xxreal_0(k17_euclid(C), F) & r1_xxreal_0(k17_euclid(D), F)) ) ) ) ) ) ) )  =>  (r1_xxreal_0(F, E) |  (r1_xxreal_0(H, G) |  (r1_xxreal_0(k18_euclid(B), k18_euclid(A)) |  (r1_xxreal_0(k17_euclid(D), E) | r1_jordan17(k1_sppol_2(E, F, G, H), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (k17_euclid(A)=E &  (k17_euclid(B)=E &  (k17_euclid(C)=F &  (k17_euclid(D)=F &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(B), H) &  (r1_xxreal_0(G, k18_euclid(D)) & r1_xxreal_0(k18_euclid(C), H)) ) ) ) ) ) )  =>  (r1_xxreal_0(F, E) |  (r1_xxreal_0(H, G) |  (r1_xxreal_0(k18_euclid(B), k18_euclid(A)) |  (r1_xxreal_0(k18_euclid(C), k18_euclid(D)) | r1_jordan17(k1_sppol_2(E, F, G, H), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (k17_euclid(A)=E &  (k17_euclid(B)=E &  (k17_euclid(C)=F &  (k18_euclid(D)=G &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(B), H) &  (r1_xxreal_0(G, k18_euclid(C)) &  (r1_xxreal_0(k18_euclid(C), H) & r1_xxreal_0(k17_euclid(D), F)) ) ) ) ) ) ) )  =>  (r1_xxreal_0(F, E) |  (r1_xxreal_0(H, G) |  (r1_xxreal_0(k18_euclid(B), k18_euclid(A)) |  (r1_xxreal_0(k17_euclid(D), E) | r1_jordan17(k1_sppol_2(E, F, G, H), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (k17_euclid(A)=E &  (k17_euclid(B)=E &  (k18_euclid(C)=G &  (k18_euclid(D)=G &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(B), H) & r1_xxreal_0(k17_euclid(C), F)) ) ) ) ) )  =>  (r1_xxreal_0(F, E) |  (r1_xxreal_0(H, G) |  (r1_xxreal_0(k18_euclid(B), k18_euclid(A)) |  (r1_xxreal_0(k17_euclid(D), E) |  (r1_xxreal_0(k17_euclid(C), k17_euclid(D)) | r1_jordan17(k1_sppol_2(E, F, G, H), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (k17_euclid(A)=E &  (k18_euclid(B)=H &  (k18_euclid(C)=H &  (k18_euclid(D)=H &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(A), H) &  (r1_xxreal_0(E, k17_euclid(B)) & r1_xxreal_0(k17_euclid(D), F)) ) ) ) ) ) )  =>  (r1_xxreal_0(F, E) |  (r1_xxreal_0(H, G) |  (r1_xxreal_0(k17_euclid(C), k17_euclid(B)) |  (r1_xxreal_0(k17_euclid(D), k17_euclid(C)) | r1_jordan17(k1_sppol_2(E, F, G, H), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (k17_euclid(A)=E &  (k18_euclid(B)=H &  (k18_euclid(C)=H &  (k17_euclid(D)=F &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(A), H) &  (r1_xxreal_0(E, k17_euclid(B)) &  (r1_xxreal_0(k17_euclid(C), F) &  (r1_xxreal_0(G, k18_euclid(D)) & r1_xxreal_0(k18_euclid(D), H)) ) ) ) ) ) ) ) )  =>  (r1_xxreal_0(F, E) |  (r1_xxreal_0(H, G) |  (r1_xxreal_0(k17_euclid(C), k17_euclid(B)) | r1_jordan17(k1_sppol_2(E, F, G, H), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (k17_euclid(A)=E &  (k18_euclid(B)=H &  (k18_euclid(C)=H &  (k18_euclid(D)=G &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(A), H) &  (r1_xxreal_0(E, k17_euclid(B)) &  (r1_xxreal_0(k17_euclid(C), F) & r1_xxreal_0(k17_euclid(D), F)) ) ) ) ) ) ) )  =>  (r1_xxreal_0(F, E) |  (r1_xxreal_0(H, G) |  (r1_xxreal_0(k17_euclid(C), k17_euclid(B)) |  (r1_xxreal_0(k17_euclid(D), E) | r1_jordan17(k1_sppol_2(E, F, G, H), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (k17_euclid(A)=E &  (k18_euclid(B)=H &  (k17_euclid(C)=F &  (k17_euclid(D)=F &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(A), H) &  (r1_xxreal_0(E, k17_euclid(B)) &  (r1_xxreal_0(k17_euclid(B), F) &  (r1_xxreal_0(G, k18_euclid(D)) & r1_xxreal_0(k18_euclid(C), H)) ) ) ) ) ) ) ) )  =>  (r1_xxreal_0(F, E) |  (r1_xxreal_0(H, G) |  (r1_xxreal_0(k18_euclid(C), k18_euclid(D)) | r1_jordan17(k1_sppol_2(E, F, G, H), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r1_xxreal_0(k18_euclid(D), k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(A), k18_euclid(B)) &  (r1_xxreal_0(k17_euclid(A), k17_euclid(B)) &  (r1_xxreal_0(k17_euclid(B), k17_euclid(C)) &  (r1_xxreal_0(k18_euclid(D), k18_euclid(C)) &  (r1_xxreal_0(k18_euclid(C), k18_euclid(B)) & r1_xxreal_0(k17_euclid(D), k17_euclid(C))) ) ) ) ) )  =>  (k17_euclid(A)=k17_euclid(C) |  (k18_euclid(D)=k18_euclid(B) |  (r1_xxreal_0(k17_euclid(D), k17_euclid(A)) | r1_jordan17(k1_sppol_2(k17_euclid(A), k17_euclid(C), k18_euclid(D), k18_euclid(B)), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (k17_euclid(A)=E &  (k18_euclid(B)=H &  (k18_euclid(C)=G &  (k18_euclid(D)=G &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(A), H) &  (r1_xxreal_0(E, k17_euclid(B)) &  (r1_xxreal_0(k17_euclid(B), F) & r1_xxreal_0(k17_euclid(C), F)) ) ) ) ) ) ) )  =>  (r1_xxreal_0(F, E) |  (r1_xxreal_0(H, G) |  (r1_xxreal_0(k17_euclid(D), E) |  (r1_xxreal_0(k17_euclid(C), k17_euclid(D)) | r1_jordan17(k1_sppol_2(E, F, G, H), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (k17_euclid(A)=E &  (k17_euclid(B)=F &  (k17_euclid(C)=F &  (k17_euclid(D)=F &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(A), H) &  (r1_xxreal_0(k18_euclid(B), H) & r1_xxreal_0(G, k18_euclid(D))) ) ) ) ) ) )  =>  (r1_xxreal_0(F, E) |  (r1_xxreal_0(H, G) |  (r1_xxreal_0(k18_euclid(B), k18_euclid(C)) |  (r1_xxreal_0(k18_euclid(C), k18_euclid(D)) | r1_jordan17(k1_sppol_2(E, F, G, H), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (k17_euclid(A)=E &  (k17_euclid(B)=F &  (k17_euclid(C)=F &  (k18_euclid(D)=G &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(A), H) &  (r1_xxreal_0(k18_euclid(B), H) &  (r1_xxreal_0(G, k18_euclid(C)) & r1_xxreal_0(k17_euclid(D), F)) ) ) ) ) ) ) )  =>  (r1_xxreal_0(F, E) |  (r1_xxreal_0(H, G) |  (r1_xxreal_0(k18_euclid(B), k18_euclid(C)) |  (r1_xxreal_0(k17_euclid(D), E) | r1_jordan17(k1_sppol_2(E, F, G, H), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (k17_euclid(A)=E &  (k17_euclid(B)=F &  (k18_euclid(C)=G &  (k18_euclid(D)=G &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(A), H) &  (r1_xxreal_0(G, k18_euclid(B)) &  (r1_xxreal_0(k18_euclid(B), H) & r1_xxreal_0(k17_euclid(C), F)) ) ) ) ) ) ) )  =>  (r1_xxreal_0(F, E) |  (r1_xxreal_0(H, G) |  (r1_xxreal_0(k17_euclid(D), E) |  (r1_xxreal_0(k17_euclid(C), k17_euclid(D)) | r1_jordan17(k1_sppol_2(E, F, G, H), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (k17_euclid(A)=E &  (k18_euclid(B)=G &  (k18_euclid(C)=G &  (k18_euclid(D)=G &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(A), H) & r1_xxreal_0(k17_euclid(B), F)) ) ) ) ) )  =>  (r1_xxreal_0(F, E) |  (r1_xxreal_0(H, G) |  (r1_xxreal_0(k17_euclid(D), E) |  (r1_xxreal_0(k17_euclid(C), k17_euclid(D)) |  (r1_xxreal_0(k17_euclid(B), k17_euclid(C)) | r1_jordan17(k1_sppol_2(E, F, G, H), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (k18_euclid(A)=H &  (k18_euclid(B)=H &  (k18_euclid(C)=H &  (k18_euclid(D)=H &  (r1_xxreal_0(E, k17_euclid(A)) & r1_xxreal_0(k17_euclid(D), F)) ) ) ) )  =>  (r1_xxreal_0(F, E) |  (r1_xxreal_0(H, G) |  (r1_xxreal_0(k17_euclid(B), k17_euclid(A)) |  (r1_xxreal_0(k17_euclid(C), k17_euclid(B)) |  (r1_xxreal_0(k17_euclid(D), k17_euclid(C)) | r1_jordan17(k1_sppol_2(E, F, G, H), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (k18_euclid(A)=H &  (k18_euclid(B)=H &  (k18_euclid(C)=H &  (k17_euclid(D)=F &  (r1_xxreal_0(E, k17_euclid(A)) &  (r1_xxreal_0(k17_euclid(C), F) &  (r1_xxreal_0(G, k18_euclid(D)) & r1_xxreal_0(k18_euclid(D), H)) ) ) ) ) ) )  =>  (r1_xxreal_0(F, E) |  (r1_xxreal_0(H, G) |  (r1_xxreal_0(k17_euclid(B), k17_euclid(A)) |  (r1_xxreal_0(k17_euclid(C), k17_euclid(B)) | r1_jordan17(k1_sppol_2(E, F, G, H), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (k18_euclid(A)=H &  (k18_euclid(B)=H &  (k18_euclid(C)=H &  (k18_euclid(D)=G &  (r1_xxreal_0(E, k17_euclid(A)) &  (r1_xxreal_0(k17_euclid(C), F) & r1_xxreal_0(k17_euclid(D), F)) ) ) ) ) )  =>  (r1_xxreal_0(F, E) |  (r1_xxreal_0(H, G) |  (r1_xxreal_0(k17_euclid(B), k17_euclid(A)) |  (r1_xxreal_0(k17_euclid(C), k17_euclid(B)) |  (r1_xxreal_0(k17_euclid(D), E) | r1_jordan17(k1_sppol_2(E, F, G, H), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (k18_euclid(A)=H &  (k18_euclid(B)=H &  (k17_euclid(C)=F &  (k17_euclid(D)=F &  (r1_xxreal_0(E, k17_euclid(A)) &  (r1_xxreal_0(k17_euclid(B), F) &  (r1_xxreal_0(G, k18_euclid(D)) & r1_xxreal_0(k18_euclid(C), H)) ) ) ) ) ) )  =>  (r1_xxreal_0(F, E) |  (r1_xxreal_0(H, G) |  (r1_xxreal_0(k17_euclid(B), k17_euclid(A)) |  (r1_xxreal_0(k18_euclid(C), k18_euclid(D)) | r1_jordan17(k1_sppol_2(E, F, G, H), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (k18_euclid(A)=H &  (k18_euclid(B)=H &  (k17_euclid(C)=F &  (k18_euclid(D)=G &  (r1_xxreal_0(E, k17_euclid(A)) &  (r1_xxreal_0(k17_euclid(B), F) &  (r1_xxreal_0(G, k18_euclid(C)) &  (r1_xxreal_0(k18_euclid(C), H) & r1_xxreal_0(k17_euclid(D), F)) ) ) ) ) ) ) )  =>  (r1_xxreal_0(F, E) |  (r1_xxreal_0(H, G) |  (r1_xxreal_0(k17_euclid(B), k17_euclid(A)) |  (r1_xxreal_0(k17_euclid(D), E) | r1_jordan17(k1_sppol_2(E, F, G, H), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (k18_euclid(A)=H &  (k18_euclid(B)=H &  (k18_euclid(C)=G &  (k18_euclid(D)=G &  (r1_xxreal_0(E, k17_euclid(A)) &  (r1_xxreal_0(k17_euclid(B), F) & r1_xxreal_0(k17_euclid(C), F)) ) ) ) ) )  =>  (r1_xxreal_0(F, E) |  (r1_xxreal_0(H, G) |  (r1_xxreal_0(k17_euclid(B), k17_euclid(A)) |  (r1_xxreal_0(k17_euclid(D), E) |  (r1_xxreal_0(k17_euclid(C), k17_euclid(D)) | r1_jordan17(k1_sppol_2(E, F, G, H), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (k18_euclid(A)=H &  (k17_euclid(B)=F &  (k17_euclid(C)=F &  (k17_euclid(D)=F &  (r1_xxreal_0(E, k17_euclid(A)) &  (r1_xxreal_0(k17_euclid(A), F) &  (r1_xxreal_0(k18_euclid(B), H) & r1_xxreal_0(G, k18_euclid(D))) ) ) ) ) ) )  =>  (r1_xxreal_0(F, E) |  (r1_xxreal_0(H, G) |  (r1_xxreal_0(k18_euclid(B), k18_euclid(C)) |  (r1_xxreal_0(k18_euclid(C), k18_euclid(D)) | r1_jordan17(k1_sppol_2(E, F, G, H), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (k18_euclid(A)=H &  (k17_euclid(B)=F &  (k17_euclid(C)=F &  (k18_euclid(D)=G &  (r1_xxreal_0(E, k17_euclid(A)) &  (r1_xxreal_0(k17_euclid(A), F) &  (r1_xxreal_0(k18_euclid(B), H) &  (r1_xxreal_0(G, k18_euclid(C)) & r1_xxreal_0(k17_euclid(D), F)) ) ) ) ) ) ) )  =>  (r1_xxreal_0(F, E) |  (r1_xxreal_0(H, G) |  (r1_xxreal_0(k18_euclid(B), k18_euclid(C)) |  (r1_xxreal_0(k17_euclid(D), E) | r1_jordan17(k1_sppol_2(E, F, G, H), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (k18_euclid(A)=H &  (k17_euclid(B)=F &  (k18_euclid(C)=G &  (k18_euclid(D)=G &  (r1_xxreal_0(E, k17_euclid(A)) &  (r1_xxreal_0(k17_euclid(A), F) &  (r1_xxreal_0(G, k18_euclid(B)) &  (r1_xxreal_0(k18_euclid(B), H) & r1_xxreal_0(k17_euclid(C), F)) ) ) ) ) ) ) )  =>  (r1_xxreal_0(F, E) |  (r1_xxreal_0(H, G) |  (r1_xxreal_0(k17_euclid(D), E) |  (r1_xxreal_0(k17_euclid(C), k17_euclid(D)) | r1_jordan17(k1_sppol_2(E, F, G, H), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (k18_euclid(A)=H &  (k18_euclid(B)=G &  (k18_euclid(C)=G &  (k18_euclid(D)=G &  (r1_xxreal_0(E, k17_euclid(A)) &  (r1_xxreal_0(k17_euclid(A), F) & r1_xxreal_0(k17_euclid(B), F)) ) ) ) ) )  =>  (r1_xxreal_0(F, E) |  (r1_xxreal_0(H, G) |  (r1_xxreal_0(k17_euclid(D), E) |  (r1_xxreal_0(k17_euclid(C), k17_euclid(D)) |  (r1_xxreal_0(k17_euclid(B), k17_euclid(C)) | r1_jordan17(k1_sppol_2(E, F, G, H), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (k17_euclid(A)=F &  (k17_euclid(B)=F &  (k17_euclid(C)=F &  (k17_euclid(D)=F &  (r1_xxreal_0(k18_euclid(A), H) & r1_xxreal_0(G, k18_euclid(D))) ) ) ) )  =>  (r1_xxreal_0(F, E) |  (r1_xxreal_0(H, G) |  (r1_xxreal_0(k18_euclid(A), k18_euclid(B)) |  (r1_xxreal_0(k18_euclid(B), k18_euclid(C)) |  (r1_xxreal_0(k18_euclid(C), k18_euclid(D)) | r1_jordan17(k1_sppol_2(E, F, G, H), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (k17_euclid(A)=F &  (k17_euclid(B)=F &  (k17_euclid(C)=F &  (k18_euclid(D)=G &  (r1_xxreal_0(k18_euclid(A), H) &  (r1_xxreal_0(G, k18_euclid(C)) & r1_xxreal_0(k17_euclid(D), F)) ) ) ) ) )  =>  (r1_xxreal_0(F, E) |  (r1_xxreal_0(H, G) |  (r1_xxreal_0(k18_euclid(A), k18_euclid(B)) |  (r1_xxreal_0(k18_euclid(B), k18_euclid(C)) |  (r1_xxreal_0(k17_euclid(D), E) | r1_jordan17(k1_sppol_2(E, F, G, H), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (k17_euclid(A)=F &  (k17_euclid(B)=F &  (k18_euclid(C)=G &  (k18_euclid(D)=G &  (r1_xxreal_0(k18_euclid(A), H) &  (r1_xxreal_0(G, k18_euclid(B)) & r1_xxreal_0(k17_euclid(C), F)) ) ) ) ) )  =>  (r1_xxreal_0(F, E) |  (r1_xxreal_0(H, G) |  (r1_xxreal_0(k18_euclid(A), k18_euclid(B)) |  (r1_xxreal_0(k17_euclid(C), k17_euclid(D)) |  (r1_xxreal_0(k17_euclid(D), E) | r1_jordan17(k1_sppol_2(E, F, G, H), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (k17_euclid(A)=F &  (k18_euclid(B)=G &  (k18_euclid(C)=G &  (k18_euclid(D)=G &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(A), H) & r1_xxreal_0(k17_euclid(B), F)) ) ) ) ) )  =>  (r1_xxreal_0(F, E) |  (r1_xxreal_0(H, G) |  (r1_xxreal_0(k17_euclid(B), k17_euclid(C)) |  (r1_xxreal_0(k17_euclid(C), k17_euclid(D)) |  (r1_xxreal_0(k17_euclid(D), E) | r1_jordan17(k1_sppol_2(E, F, G, H), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (k18_euclid(A)=G &  (k18_euclid(B)=G &  (k18_euclid(C)=G &  (k18_euclid(D)=G & r1_xxreal_0(k17_euclid(A), F)) ) ) )  =>  (r1_xxreal_0(F, E) |  (r1_xxreal_0(H, G) |  (r1_xxreal_0(k17_euclid(A), k17_euclid(B)) |  (r1_xxreal_0(k17_euclid(B), k17_euclid(C)) |  (r1_xxreal_0(k17_euclid(C), k17_euclid(D)) |  (r1_xxreal_0(k17_euclid(D), E) | r1_jordan17(k1_sppol_2(E, F, G, H), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_jgraph_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  ( (r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), E, k2_jgraph_2(A, B, C, D)) & r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, k2_jgraph_2(k7_xcmplx_0(1, A), k4_xcmplx_0(k7_xcmplx_0(B, A)), k7_xcmplx_0(1, C), k4_xcmplx_0(k7_xcmplx_0(D, C)))))  =>  (r1_xxreal_0(A, k5_numbers) |  (r1_xxreal_0(C, k5_numbers) |  (F=k2_funct_1(E) & E=k2_funct_1(F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_jgraph_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  (r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), E, k2_jgraph_2(A, B, C, D)) =>  (r1_xxreal_0(A, k5_numbers) |  (r1_xxreal_0(C, k5_numbers) |  (v3_tops_2(E, k15_euclid(2), k15_euclid(2)) &  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_xxreal_0(k17_euclid(G), k17_euclid(F)))  & r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), E, G)), k17_euclid(k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), E, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_jgraph_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  (r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), E, k2_jgraph_2(A, B, C, D)) =>  (r1_xxreal_0(A, k5_numbers) |  (r1_xxreal_0(C, k5_numbers) |  (v3_tops_2(E, k15_euclid(2), k15_euclid(2)) &  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_xxreal_0(k18_euclid(G), k18_euclid(F)))  & r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), E, G)), k18_euclid(k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), E, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_jgraph_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ( (r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), E, k2_jgraph_2(k7_xcmplx_0(2, k6_xcmplx_0(B, A)), k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(B, A), k6_xcmplx_0(B, A))), k7_xcmplx_0(2, k6_xcmplx_0(D, C)), k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(D, C), k6_xcmplx_0(D, C))))) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), F), k2_jgraph_6(A, B, C, D)))  =>  (r1_xxreal_0(B, A) |  (r1_xxreal_0(D, C) | r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E)), k2_jgraph_6(k4_xcmplx_0(1), 1, k4_xcmplx_0(1), 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_jgraph_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ( (r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), E, k2_jgraph_2(k7_xcmplx_0(2, k6_xcmplx_0(B, A)), k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(B, A), k6_xcmplx_0(B, A))), k7_xcmplx_0(2, k6_xcmplx_0(D, C)), k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(D, C), k6_xcmplx_0(D, C))))) &  (v5_pre_topc(F, k5_topmetr, k15_euclid(2)) & v2_funct_1(F)) )  =>  (r1_xxreal_0(B, A) |  (r1_xxreal_0(D, C) |  (v5_pre_topc(k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), k5_topmetr, k15_euclid(2)) & v2_funct_1(k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_jgraph_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_topmetr)) =>  ( (r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), E, k2_jgraph_2(k7_xcmplx_0(2, k6_xcmplx_0(B, A)), k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(B, A), k6_xcmplx_0(B, A))), k7_xcmplx_0(2, k6_xcmplx_0(D, C)), k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(D, C), k6_xcmplx_0(D, C))))) & k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, G))=A)  =>  (r1_xxreal_0(B, A) | k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), G))=k4_xcmplx_0(1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_jgraph_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_topmetr)) =>  ( (r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), E, k2_jgraph_2(k7_xcmplx_0(2, k6_xcmplx_0(B, A)), k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(B, A), k6_xcmplx_0(B, A))), k7_xcmplx_0(2, k6_xcmplx_0(D, C)), k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(D, C), k6_xcmplx_0(D, C))))) & k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, G))=D)  =>  (r1_xxreal_0(D, C) | k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), G))=1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_jgraph_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_topmetr)) =>  ( (r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), E, k2_jgraph_2(k7_xcmplx_0(2, k6_xcmplx_0(B, A)), k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(B, A), k6_xcmplx_0(B, A))), k7_xcmplx_0(2, k6_xcmplx_0(D, C)), k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(D, C), k6_xcmplx_0(D, C))))) & k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, G))=B)  =>  (r1_xxreal_0(B, A) | k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), G))=1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_jgraph_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_topmetr)) =>  ( (r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), E, k2_jgraph_2(k7_xcmplx_0(2, k6_xcmplx_0(B, A)), k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(B, A), k6_xcmplx_0(B, A))), k7_xcmplx_0(2, k6_xcmplx_0(D, C)), k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(D, C), k6_xcmplx_0(D, C))))) & k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, G))=C)  =>  (r1_xxreal_0(D, C) | k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), G))=k4_xcmplx_0(1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_jgraph_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_topmetr)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k5_topmetr)) =>  ( (r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), E, k2_jgraph_2(k7_xcmplx_0(2, k6_xcmplx_0(B, A)), k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(B, A), k6_xcmplx_0(B, A))), k7_xcmplx_0(2, k6_xcmplx_0(D, C)), k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(D, C), k6_xcmplx_0(D, C))))) &  (r1_xxreal_0(C, k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, G))) & r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, H)), D)) )  =>  (r1_xxreal_0(D, C) |  (r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, H)), k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, G))) |  (r1_xxreal_0(k4_xcmplx_0(1), k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), G))) &  ( ~ (r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), H)), k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), G))))  & r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), H)), 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_jgraph_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_topmetr)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k5_topmetr)) =>  ( (r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), E, k2_jgraph_2(k7_xcmplx_0(2, k6_xcmplx_0(B, A)), k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(B, A), k6_xcmplx_0(B, A))), k7_xcmplx_0(2, k6_xcmplx_0(D, C)), k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(D, C), k6_xcmplx_0(D, C))))) &  (r1_xxreal_0(C, k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, G))) &  (r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, G)), D) &  (r1_xxreal_0(A, k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, H))) & r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, H)), B)) ) ) )  =>  (r1_xxreal_0(B, A) |  (r1_xxreal_0(D, C) |  (r1_xxreal_0(k4_xcmplx_0(1), k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), G))) &  (r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), G)), 1) &  (r1_xxreal_0(k4_xcmplx_0(1), k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), H))) & r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), H)), 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_jgraph_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_topmetr)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k5_topmetr)) =>  ( (r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), E, k2_jgraph_2(k7_xcmplx_0(2, k6_xcmplx_0(B, A)), k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(B, A), k6_xcmplx_0(B, A))), k7_xcmplx_0(2, k6_xcmplx_0(D, C)), k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(D, C), k6_xcmplx_0(D, C))))) &  (r1_xxreal_0(C, k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, G))) &  (r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, G)), D) &  (r1_xxreal_0(C, k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, H))) & r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, H)), D)) ) ) )  =>  (r1_xxreal_0(D, C) |  (r1_xxreal_0(k4_xcmplx_0(1), k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), G))) &  (r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), G)), 1) &  (r1_xxreal_0(k4_xcmplx_0(1), k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), H))) & r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), H)), 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_jgraph_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_topmetr)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k5_topmetr)) =>  ( (r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), E, k2_jgraph_2(k7_xcmplx_0(2, k6_xcmplx_0(B, A)), k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(B, A), k6_xcmplx_0(B, A))), k7_xcmplx_0(2, k6_xcmplx_0(D, C)), k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(D, C), k6_xcmplx_0(D, C))))) &  (r1_xxreal_0(C, k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, G))) &  (r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, G)), D) & r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, H)), B)) ) )  =>  (r1_xxreal_0(B, A) |  (r1_xxreal_0(D, C) |  (r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, H)), A) |  (r1_xxreal_0(k4_xcmplx_0(1), k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), G))) &  (r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), G)), 1) &  ( ~ (r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), H)), k4_xcmplx_0(1)))  & r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), H)), 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_jgraph_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_topmetr)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k5_topmetr)) =>  ( (r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), E, k2_jgraph_2(k7_xcmplx_0(2, k6_xcmplx_0(B, A)), k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(B, A), k6_xcmplx_0(B, A))), k7_xcmplx_0(2, k6_xcmplx_0(D, C)), k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(D, C), k6_xcmplx_0(D, C))))) &  (r1_xxreal_0(A, k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, G))) & r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, H)), B)) )  =>  (r1_xxreal_0(B, A) |  (r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, H)), k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, G))) |  (r1_xxreal_0(k4_xcmplx_0(1), k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), G))) &  ( ~ (r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), H)), k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), G))))  & r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), H)), 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_jgraph_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_topmetr)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k5_topmetr)) =>  ( (r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), E, k2_jgraph_2(k7_xcmplx_0(2, k6_xcmplx_0(B, A)), k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(B, A), k6_xcmplx_0(B, A))), k7_xcmplx_0(2, k6_xcmplx_0(D, C)), k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(D, C), k6_xcmplx_0(D, C))))) &  (r1_xxreal_0(A, k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, G))) &  (r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, G)), B) &  (r1_xxreal_0(C, k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, H))) & r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, H)), D)) ) ) )  =>  (r1_xxreal_0(B, A) |  (r1_xxreal_0(D, C) |  (r1_xxreal_0(k4_xcmplx_0(1), k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), G))) &  (r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), G)), 1) &  (r1_xxreal_0(k4_xcmplx_0(1), k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), H))) & r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), H)), 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_jgraph_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_topmetr)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k5_topmetr)) =>  ( (r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), E, k2_jgraph_2(k7_xcmplx_0(2, k6_xcmplx_0(B, A)), k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(B, A), k6_xcmplx_0(B, A))), k7_xcmplx_0(2, k6_xcmplx_0(D, C)), k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(D, C), k6_xcmplx_0(D, C))))) &  (r1_xxreal_0(A, k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, G))) &  (r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, G)), B) & r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, H)), B)) ) )  =>  (r1_xxreal_0(B, A) |  (r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, H)), A) |  (r1_xxreal_0(k4_xcmplx_0(1), k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), G))) &  (r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), G)), 1) &  ( ~ (r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), H)), k4_xcmplx_0(1)))  & r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), H)), 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_jgraph_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_topmetr)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k5_topmetr)) =>  ( (r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), E, k2_jgraph_2(k7_xcmplx_0(2, k6_xcmplx_0(B, A)), k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(B, A), k6_xcmplx_0(B, A))), k7_xcmplx_0(2, k6_xcmplx_0(D, C)), k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(D, C), k6_xcmplx_0(D, C))))) &  (r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, G)), D) & r1_xxreal_0(C, k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, H)))) )  =>  (r1_xxreal_0(D, C) |  (r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, G)), k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, H))) |  (r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), G)), 1) &  ( ~ (r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), G)), k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), H))))  & r1_xxreal_0(k4_xcmplx_0(1), k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), H)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_jgraph_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_topmetr)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k5_topmetr)) =>  ( (r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), E, k2_jgraph_2(k7_xcmplx_0(2, k6_xcmplx_0(B, A)), k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(B, A), k6_xcmplx_0(B, A))), k7_xcmplx_0(2, k6_xcmplx_0(D, C)), k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(D, C), k6_xcmplx_0(D, C))))) &  (r1_xxreal_0(C, k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, G))) &  (r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, G)), D) & r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, H)), B)) ) )  =>  (r1_xxreal_0(B, A) |  (r1_xxreal_0(D, C) |  (r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, H)), A) |  (r1_xxreal_0(k4_xcmplx_0(1), k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), G))) &  (r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), G)), 1) &  ( ~ (r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), H)), k4_xcmplx_0(1)))  & r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), H)), 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_jgraph_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_topmetr)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k5_topmetr)) =>  ( (r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), E, k2_jgraph_2(k7_xcmplx_0(2, k6_xcmplx_0(B, A)), k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(B, A), k6_xcmplx_0(B, A))), k7_xcmplx_0(2, k6_xcmplx_0(D, C)), k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(D, C), k6_xcmplx_0(D, C))))) & r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, G)), B))  =>  (r1_xxreal_0(B, A) |  (r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, H)), A) |  (r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, G)), k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), F, H))) |  ( ~ (r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), H)), k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), G)), k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), H))))  & r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), k1_partfun1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), F, E), G)), 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k17_euclid(B)=E &  (k17_euclid(C)=E &  (k17_euclid(D)=E &  (r1_xxreal_0(G, k18_euclid(A)) &  ( ~ (r1_xxreal_0(k18_euclid(B), k18_euclid(A)))  &  ( ~ (r1_xxreal_0(k18_euclid(C), k18_euclid(B)))  &  ( ~ (r1_xxreal_0(k18_euclid(D), k18_euclid(C)))  &  (r1_xxreal_0(k18_euclid(D), H) &  (k1_funct_1(I, k5_numbers)=A &  (k1_funct_1(I, 1)=C &  (k1_funct_1(J, k5_numbers)=B &  (k1_funct_1(J, 1)=D &  (v5_pre_topc(I, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(I) &  (v5_pre_topc(J, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(J) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_jgraph_6(E, F, G, H)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), J), k2_jgraph_6(E, F, G, H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_relset_1(u1_struct_0(k15_euclid(2)), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t69_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k17_euclid(B)=E &  (k17_euclid(C)=E &  (k17_euclid(D)=E &  (r1_xxreal_0(G, k18_euclid(A)) &  ( ~ (r1_xxreal_0(k18_euclid(B), k18_euclid(A)))  &  ( ~ (r1_xxreal_0(k18_euclid(C), k18_euclid(B)))  &  ( ~ (r1_xxreal_0(k18_euclid(D), k18_euclid(C)))  &  (r1_xxreal_0(k18_euclid(D), H) &  (r1_topreal1(k15_euclid(2), A, C, I) &  (r1_topreal1(k15_euclid(2), B, D, J) &  (r1_tarski(I, k2_jgraph_6(E, F, G, H)) &  (r1_tarski(J, k2_jgraph_6(E, F, G, H)) & r1_xboole_0(I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k17_euclid(B)=E &  (k17_euclid(C)=E &  (k18_euclid(D)=H &  (r1_xxreal_0(G, k18_euclid(A)) &  ( ~ (r1_xxreal_0(k18_euclid(B), k18_euclid(A)))  &  ( ~ (r1_xxreal_0(k18_euclid(C), k18_euclid(B)))  &  (r1_xxreal_0(k18_euclid(C), H) &  (r1_xxreal_0(E, k17_euclid(D)) &  (r1_xxreal_0(k17_euclid(D), F) &  (k1_funct_1(I, k5_numbers)=A &  (k1_funct_1(I, 1)=C &  (k1_funct_1(J, k5_numbers)=B &  (k1_funct_1(J, 1)=D &  (v5_pre_topc(I, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(I) &  (v5_pre_topc(J, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(J) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_jgraph_6(E, F, G, H)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), J), k2_jgraph_6(E, F, G, H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_relset_1(u1_struct_0(k15_euclid(2)), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k17_euclid(B)=E &  (k17_euclid(C)=E &  (k18_euclid(D)=H &  (r1_xxreal_0(G, k18_euclid(A)) &  ( ~ (r1_xxreal_0(k18_euclid(B), k18_euclid(A)))  &  ( ~ (r1_xxreal_0(k18_euclid(C), k18_euclid(B)))  &  (r1_xxreal_0(k18_euclid(C), H) &  (r1_xxreal_0(E, k17_euclid(D)) &  (r1_xxreal_0(k17_euclid(D), F) &  (r1_topreal1(k15_euclid(2), A, C, I) &  (r1_topreal1(k15_euclid(2), B, D, J) &  (r1_tarski(I, k2_jgraph_6(E, F, G, H)) &  (r1_tarski(J, k2_jgraph_6(E, F, G, H)) & r1_xboole_0(I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t72_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k17_euclid(B)=E &  (k17_euclid(C)=E &  (k17_euclid(D)=F &  (r1_xxreal_0(G, k18_euclid(A)) &  ( ~ (r1_xxreal_0(k18_euclid(B), k18_euclid(A)))  &  ( ~ (r1_xxreal_0(k18_euclid(C), k18_euclid(B)))  &  (r1_xxreal_0(k18_euclid(C), H) &  (r1_xxreal_0(G, k18_euclid(D)) &  (r1_xxreal_0(k18_euclid(D), H) &  (k1_funct_1(I, k5_numbers)=A &  (k1_funct_1(I, 1)=C &  (k1_funct_1(J, k5_numbers)=B &  (k1_funct_1(J, 1)=D &  (v5_pre_topc(I, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(I) &  (v5_pre_topc(J, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(J) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_jgraph_6(E, F, G, H)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), J), k2_jgraph_6(E, F, G, H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_relset_1(u1_struct_0(k15_euclid(2)), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t73_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k17_euclid(B)=E &  (k17_euclid(C)=E &  (k17_euclid(D)=F &  (r1_xxreal_0(G, k18_euclid(A)) &  ( ~ (r1_xxreal_0(k18_euclid(B), k18_euclid(A)))  &  ( ~ (r1_xxreal_0(k18_euclid(C), k18_euclid(B)))  &  (r1_xxreal_0(k18_euclid(C), H) &  (r1_xxreal_0(G, k18_euclid(D)) &  (r1_xxreal_0(k18_euclid(D), H) &  (r1_topreal1(k15_euclid(2), A, C, I) &  (r1_topreal1(k15_euclid(2), B, D, J) &  (r1_tarski(I, k2_jgraph_6(E, F, G, H)) &  (r1_tarski(J, k2_jgraph_6(E, F, G, H)) & r1_xboole_0(I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t74_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k17_euclid(B)=E &  (k17_euclid(C)=E &  (k18_euclid(D)=G &  (r1_xxreal_0(G, k18_euclid(A)) &  ( ~ (r1_xxreal_0(k18_euclid(B), k18_euclid(A)))  &  ( ~ (r1_xxreal_0(k18_euclid(C), k18_euclid(B)))  &  (r1_xxreal_0(k18_euclid(C), H) &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  (r1_xxreal_0(k17_euclid(D), F) &  (k1_funct_1(I, k5_numbers)=A &  (k1_funct_1(I, 1)=C &  (k1_funct_1(J, k5_numbers)=B &  (k1_funct_1(J, 1)=D &  (v5_pre_topc(I, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(I) &  (v5_pre_topc(J, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(J) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_jgraph_6(E, F, G, H)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), J), k2_jgraph_6(E, F, G, H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_relset_1(u1_struct_0(k15_euclid(2)), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k17_euclid(B)=E &  (k17_euclid(C)=E &  (k18_euclid(D)=G &  (r1_xxreal_0(G, k18_euclid(A)) &  ( ~ (r1_xxreal_0(k18_euclid(B), k18_euclid(A)))  &  ( ~ (r1_xxreal_0(k18_euclid(C), k18_euclid(B)))  &  (r1_xxreal_0(k18_euclid(C), H) &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  (r1_xxreal_0(k17_euclid(D), F) &  (r1_topreal1(k15_euclid(2), A, C, I) &  (r1_topreal1(k15_euclid(2), B, D, J) &  (r1_tarski(I, k2_jgraph_6(E, F, G, H)) &  (r1_tarski(J, k2_jgraph_6(E, F, G, H)) & r1_xboole_0(I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t76_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k17_euclid(B)=E &  (k18_euclid(C)=H &  (k18_euclid(D)=H &  (r1_xxreal_0(G, k18_euclid(A)) &  ( ~ (r1_xxreal_0(k18_euclid(B), k18_euclid(A)))  &  (r1_xxreal_0(k18_euclid(B), H) &  (r1_xxreal_0(E, k17_euclid(C)) &  ( ~ (r1_xxreal_0(k17_euclid(D), k17_euclid(C)))  &  (r1_xxreal_0(k17_euclid(D), F) &  (k1_funct_1(I, k5_numbers)=A &  (k1_funct_1(I, 1)=C &  (k1_funct_1(J, k5_numbers)=B &  (k1_funct_1(J, 1)=D &  (v5_pre_topc(I, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(I) &  (v5_pre_topc(J, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(J) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_jgraph_6(E, F, G, H)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), J), k2_jgraph_6(E, F, G, H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_relset_1(u1_struct_0(k15_euclid(2)), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t77_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k17_euclid(B)=E &  (k18_euclid(C)=H &  (k18_euclid(D)=H &  (r1_xxreal_0(G, k18_euclid(A)) &  ( ~ (r1_xxreal_0(k18_euclid(B), k18_euclid(A)))  &  (r1_xxreal_0(k18_euclid(B), H) &  (r1_xxreal_0(E, k17_euclid(C)) &  ( ~ (r1_xxreal_0(k17_euclid(D), k17_euclid(C)))  &  (r1_xxreal_0(k17_euclid(D), F) &  (r1_topreal1(k15_euclid(2), A, C, I) &  (r1_topreal1(k15_euclid(2), B, D, J) &  (r1_tarski(I, k2_jgraph_6(E, F, G, H)) &  (r1_tarski(J, k2_jgraph_6(E, F, G, H)) & r1_xboole_0(I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t78_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k17_euclid(B)=E &  (k18_euclid(C)=H &  (k17_euclid(D)=F &  (r1_xxreal_0(G, k18_euclid(A)) &  ( ~ (r1_xxreal_0(k18_euclid(B), k18_euclid(A)))  &  (r1_xxreal_0(k18_euclid(B), H) &  (r1_xxreal_0(E, k17_euclid(C)) &  (r1_xxreal_0(k17_euclid(C), F) &  (r1_xxreal_0(G, k18_euclid(D)) &  (r1_xxreal_0(k18_euclid(D), H) &  (k1_funct_1(I, k5_numbers)=A &  (k1_funct_1(I, 1)=C &  (k1_funct_1(J, k5_numbers)=B &  (k1_funct_1(J, 1)=D &  (v5_pre_topc(I, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(I) &  (v5_pre_topc(J, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(J) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_jgraph_6(E, F, G, H)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), J), k2_jgraph_6(E, F, G, H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_relset_1(u1_struct_0(k15_euclid(2)), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t79_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k17_euclid(B)=E &  (k18_euclid(C)=H &  (k17_euclid(D)=F &  (r1_xxreal_0(G, k18_euclid(A)) &  ( ~ (r1_xxreal_0(k18_euclid(B), k18_euclid(A)))  &  (r1_xxreal_0(k18_euclid(B), H) &  (r1_xxreal_0(E, k17_euclid(C)) &  (r1_xxreal_0(k17_euclid(C), F) &  (r1_xxreal_0(G, k18_euclid(D)) &  (r1_xxreal_0(k18_euclid(D), H) &  (r1_topreal1(k15_euclid(2), A, C, I) &  (r1_topreal1(k15_euclid(2), B, D, J) &  (r1_tarski(I, k2_jgraph_6(E, F, G, H)) &  (r1_tarski(J, k2_jgraph_6(E, F, G, H)) & r1_xboole_0(I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t80_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k17_euclid(B)=E &  (k18_euclid(C)=H &  (k18_euclid(D)=G &  (r1_xxreal_0(G, k18_euclid(A)) &  ( ~ (r1_xxreal_0(k18_euclid(B), k18_euclid(A)))  &  (r1_xxreal_0(k18_euclid(B), H) &  (r1_xxreal_0(E, k17_euclid(C)) &  (r1_xxreal_0(k17_euclid(C), F) &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  (r1_xxreal_0(k17_euclid(D), F) &  (k1_funct_1(I, k5_numbers)=A &  (k1_funct_1(I, 1)=C &  (k1_funct_1(J, k5_numbers)=B &  (k1_funct_1(J, 1)=D &  (v5_pre_topc(I, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(I) &  (v5_pre_topc(J, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(J) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_jgraph_6(E, F, G, H)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), J), k2_jgraph_6(E, F, G, H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_relset_1(u1_struct_0(k15_euclid(2)), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t81_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k17_euclid(B)=E &  (k18_euclid(C)=H &  (k18_euclid(D)=G &  (r1_xxreal_0(G, k18_euclid(A)) &  ( ~ (r1_xxreal_0(k18_euclid(B), k18_euclid(A)))  &  (r1_xxreal_0(k18_euclid(B), H) &  (r1_xxreal_0(E, k17_euclid(C)) &  (r1_xxreal_0(k17_euclid(C), F) &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  (r1_xxreal_0(k17_euclid(D), F) &  (r1_topreal1(k15_euclid(2), A, C, I) &  (r1_topreal1(k15_euclid(2), B, D, J) &  (r1_tarski(I, k2_jgraph_6(E, F, G, H)) &  (r1_tarski(J, k2_jgraph_6(E, F, G, H)) & r1_xboole_0(I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t82_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k17_euclid(B)=E &  (k17_euclid(C)=F &  (k17_euclid(D)=F &  (r1_xxreal_0(G, k18_euclid(A)) &  ( ~ (r1_xxreal_0(k18_euclid(B), k18_euclid(A)))  &  (r1_xxreal_0(k18_euclid(B), H) &  (r1_xxreal_0(G, k18_euclid(D)) &  ( ~ (r1_xxreal_0(k18_euclid(C), k18_euclid(D)))  &  (r1_xxreal_0(k18_euclid(C), H) &  (k1_funct_1(I, k5_numbers)=A &  (k1_funct_1(I, 1)=C &  (k1_funct_1(J, k5_numbers)=B &  (k1_funct_1(J, 1)=D &  (v5_pre_topc(I, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(I) &  (v5_pre_topc(J, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(J) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_jgraph_6(E, F, G, H)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), J), k2_jgraph_6(E, F, G, H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_relset_1(u1_struct_0(k15_euclid(2)), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t83_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k17_euclid(B)=E &  (k17_euclid(C)=F &  (k17_euclid(D)=F &  (r1_xxreal_0(G, k18_euclid(A)) &  ( ~ (r1_xxreal_0(k18_euclid(B), k18_euclid(A)))  &  (r1_xxreal_0(k18_euclid(B), H) &  (r1_xxreal_0(G, k18_euclid(D)) &  ( ~ (r1_xxreal_0(k18_euclid(C), k18_euclid(D)))  &  (r1_xxreal_0(k18_euclid(C), H) &  (r1_topreal1(k15_euclid(2), A, C, I) &  (r1_topreal1(k15_euclid(2), B, D, J) &  (r1_tarski(I, k2_jgraph_6(E, F, G, H)) &  (r1_tarski(J, k2_jgraph_6(E, F, G, H)) & r1_xboole_0(I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t84_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k17_euclid(B)=E &  (k17_euclid(C)=F &  (k18_euclid(D)=G &  (r1_xxreal_0(G, k18_euclid(A)) &  ( ~ (r1_xxreal_0(k18_euclid(B), k18_euclid(A)))  &  (r1_xxreal_0(k18_euclid(B), H) &  (r1_xxreal_0(G, k18_euclid(C)) &  (r1_xxreal_0(k18_euclid(C), H) &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  (r1_xxreal_0(k17_euclid(D), F) &  (k1_funct_1(I, k5_numbers)=A &  (k1_funct_1(I, 1)=C &  (k1_funct_1(J, k5_numbers)=B &  (k1_funct_1(J, 1)=D &  (v5_pre_topc(I, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(I) &  (v5_pre_topc(J, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(J) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_jgraph_6(E, F, G, H)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), J), k2_jgraph_6(E, F, G, H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_relset_1(u1_struct_0(k15_euclid(2)), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t85_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k17_euclid(B)=E &  (k17_euclid(C)=F &  (k18_euclid(D)=G &  (r1_xxreal_0(G, k18_euclid(A)) &  ( ~ (r1_xxreal_0(k18_euclid(B), k18_euclid(A)))  &  (r1_xxreal_0(k18_euclid(B), H) &  (r1_xxreal_0(G, k18_euclid(C)) &  (r1_xxreal_0(k18_euclid(C), H) &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  (r1_xxreal_0(k17_euclid(D), F) &  (r1_topreal1(k15_euclid(2), A, C, I) &  (r1_topreal1(k15_euclid(2), B, D, J) &  (r1_tarski(I, k2_jgraph_6(E, F, G, H)) &  (r1_tarski(J, k2_jgraph_6(E, F, G, H)) & r1_xboole_0(I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t86_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k17_euclid(B)=E &  (k18_euclid(C)=G &  (k18_euclid(D)=G &  (r1_xxreal_0(G, k18_euclid(A)) &  ( ~ (r1_xxreal_0(k18_euclid(B), k18_euclid(A)))  &  (r1_xxreal_0(k18_euclid(B), H) &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  ( ~ (r1_xxreal_0(k17_euclid(C), k17_euclid(D)))  &  (r1_xxreal_0(k17_euclid(C), F) &  (k1_funct_1(I, k5_numbers)=A &  (k1_funct_1(I, 1)=C &  (k1_funct_1(J, k5_numbers)=B &  (k1_funct_1(J, 1)=D &  (v5_pre_topc(I, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(I) &  (v5_pre_topc(J, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(J) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_jgraph_6(E, F, G, H)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), J), k2_jgraph_6(E, F, G, H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_relset_1(u1_struct_0(k15_euclid(2)), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t87_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k17_euclid(B)=E &  (k18_euclid(C)=G &  (k18_euclid(D)=G &  (r1_xxreal_0(G, k18_euclid(A)) &  ( ~ (r1_xxreal_0(k18_euclid(B), k18_euclid(A)))  &  (r1_xxreal_0(k18_euclid(B), H) &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  ( ~ (r1_xxreal_0(k17_euclid(C), k17_euclid(D)))  &  (r1_xxreal_0(k17_euclid(C), F) &  (r1_topreal1(k15_euclid(2), A, C, I) &  (r1_topreal1(k15_euclid(2), B, D, J) &  (r1_tarski(I, k2_jgraph_6(E, F, G, H)) &  (r1_tarski(J, k2_jgraph_6(E, F, G, H)) & r1_xboole_0(I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t88_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k18_euclid(B)=H &  (k18_euclid(C)=H &  (k18_euclid(D)=H &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(A), H) &  (r1_xxreal_0(E, k17_euclid(B)) &  ( ~ (r1_xxreal_0(k17_euclid(C), k17_euclid(B)))  &  ( ~ (r1_xxreal_0(k17_euclid(D), k17_euclid(C)))  &  (r1_xxreal_0(k17_euclid(D), F) &  (k1_funct_1(I, k5_numbers)=A &  (k1_funct_1(I, 1)=C &  (k1_funct_1(J, k5_numbers)=B &  (k1_funct_1(J, 1)=D &  (v5_pre_topc(I, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(I) &  (v5_pre_topc(J, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(J) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_jgraph_6(E, F, G, H)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), J), k2_jgraph_6(E, F, G, H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_relset_1(u1_struct_0(k15_euclid(2)), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t89_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k18_euclid(B)=H &  (k18_euclid(C)=H &  (k18_euclid(D)=H &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(A), H) &  (r1_xxreal_0(E, k17_euclid(B)) &  ( ~ (r1_xxreal_0(k17_euclid(C), k17_euclid(B)))  &  ( ~ (r1_xxreal_0(k17_euclid(D), k17_euclid(C)))  &  (r1_xxreal_0(k17_euclid(D), F) &  (r1_topreal1(k15_euclid(2), A, C, I) &  (r1_topreal1(k15_euclid(2), B, D, J) &  (r1_tarski(I, k2_jgraph_6(E, F, G, H)) &  (r1_tarski(J, k2_jgraph_6(E, F, G, H)) & r1_xboole_0(I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t90_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k18_euclid(B)=H &  (k18_euclid(C)=H &  (k17_euclid(D)=F &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(A), H) &  (r1_xxreal_0(E, k17_euclid(B)) &  ( ~ (r1_xxreal_0(k17_euclid(C), k17_euclid(B)))  &  (r1_xxreal_0(k17_euclid(C), F) &  (r1_xxreal_0(G, k18_euclid(D)) &  (r1_xxreal_0(k18_euclid(D), H) &  (k1_funct_1(I, k5_numbers)=A &  (k1_funct_1(I, 1)=C &  (k1_funct_1(J, k5_numbers)=B &  (k1_funct_1(J, 1)=D &  (v5_pre_topc(I, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(I) &  (v5_pre_topc(J, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(J) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_jgraph_6(E, F, G, H)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), J), k2_jgraph_6(E, F, G, H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_relset_1(u1_struct_0(k15_euclid(2)), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t91_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k18_euclid(B)=H &  (k18_euclid(C)=H &  (k17_euclid(D)=F &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(A), H) &  (r1_xxreal_0(E, k17_euclid(B)) &  ( ~ (r1_xxreal_0(k17_euclid(C), k17_euclid(B)))  &  (r1_xxreal_0(k17_euclid(C), F) &  (r1_xxreal_0(G, k18_euclid(D)) &  (r1_xxreal_0(k18_euclid(D), H) &  (r1_topreal1(k15_euclid(2), A, C, I) &  (r1_topreal1(k15_euclid(2), B, D, J) &  (r1_tarski(I, k2_jgraph_6(E, F, G, H)) &  (r1_tarski(J, k2_jgraph_6(E, F, G, H)) & r1_xboole_0(I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t92_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k18_euclid(B)=H &  (k18_euclid(C)=H &  (k18_euclid(D)=G &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(A), H) &  (r1_xxreal_0(E, k17_euclid(B)) &  ( ~ (r1_xxreal_0(k17_euclid(C), k17_euclid(B)))  &  (r1_xxreal_0(k17_euclid(C), F) &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  (r1_xxreal_0(k17_euclid(D), F) &  (k1_funct_1(I, k5_numbers)=A &  (k1_funct_1(I, 1)=C &  (k1_funct_1(J, k5_numbers)=B &  (k1_funct_1(J, 1)=D &  (v5_pre_topc(I, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(I) &  (v5_pre_topc(J, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(J) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_jgraph_6(E, F, G, H)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), J), k2_jgraph_6(E, F, G, H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_relset_1(u1_struct_0(k15_euclid(2)), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t93_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k18_euclid(B)=H &  (k18_euclid(C)=H &  (k18_euclid(D)=G &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(A), H) &  (r1_xxreal_0(E, k17_euclid(B)) &  ( ~ (r1_xxreal_0(k17_euclid(C), k17_euclid(B)))  &  (r1_xxreal_0(k17_euclid(C), F) &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  (r1_xxreal_0(k17_euclid(D), F) &  (r1_topreal1(k15_euclid(2), A, C, I) &  (r1_topreal1(k15_euclid(2), B, D, J) &  (r1_tarski(I, k2_jgraph_6(E, F, G, H)) &  (r1_tarski(J, k2_jgraph_6(E, F, G, H)) & r1_xboole_0(I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t94_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k18_euclid(B)=H &  (k17_euclid(C)=F &  (k17_euclid(D)=F &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(A), H) &  (r1_xxreal_0(E, k17_euclid(B)) &  (r1_xxreal_0(k17_euclid(B), F) &  (r1_xxreal_0(G, k18_euclid(D)) &  ( ~ (r1_xxreal_0(k18_euclid(C), k18_euclid(D)))  &  (r1_xxreal_0(k18_euclid(C), H) &  (k1_funct_1(I, k5_numbers)=A &  (k1_funct_1(I, 1)=C &  (k1_funct_1(J, k5_numbers)=B &  (k1_funct_1(J, 1)=D &  (v5_pre_topc(I, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(I) &  (v5_pre_topc(J, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(J) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_jgraph_6(E, F, G, H)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), J), k2_jgraph_6(E, F, G, H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_relset_1(u1_struct_0(k15_euclid(2)), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t95_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k18_euclid(B)=H &  (k17_euclid(C)=F &  (k17_euclid(D)=F &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(A), H) &  (r1_xxreal_0(E, k17_euclid(B)) &  (r1_xxreal_0(k17_euclid(B), F) &  (r1_xxreal_0(G, k18_euclid(D)) &  ( ~ (r1_xxreal_0(k18_euclid(C), k18_euclid(D)))  &  (r1_xxreal_0(k18_euclid(C), H) &  (r1_topreal1(k15_euclid(2), A, C, I) &  (r1_topreal1(k15_euclid(2), B, D, J) &  (r1_tarski(I, k2_jgraph_6(E, F, G, H)) &  (r1_tarski(J, k2_jgraph_6(E, F, G, H)) & r1_xboole_0(I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t96_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k18_euclid(B)=H &  (k17_euclid(C)=F &  (k18_euclid(D)=G &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(A), H) &  (r1_xxreal_0(E, k17_euclid(B)) &  (r1_xxreal_0(k17_euclid(B), F) &  (r1_xxreal_0(G, k18_euclid(C)) &  (r1_xxreal_0(k18_euclid(C), H) &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  (r1_xxreal_0(k17_euclid(D), F) &  (k1_funct_1(I, k5_numbers)=A &  (k1_funct_1(I, 1)=C &  (k1_funct_1(J, k5_numbers)=B &  (k1_funct_1(J, 1)=D &  (v5_pre_topc(I, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(I) &  (v5_pre_topc(J, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(J) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_jgraph_6(E, F, G, H)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), J), k2_jgraph_6(E, F, G, H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_relset_1(u1_struct_0(k15_euclid(2)), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t97_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k18_euclid(B)=H &  (k17_euclid(C)=F &  (k18_euclid(D)=G &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(A), H) &  (r1_xxreal_0(E, k17_euclid(B)) &  (r1_xxreal_0(k17_euclid(B), F) &  (r1_xxreal_0(G, k18_euclid(C)) &  (r1_xxreal_0(k18_euclid(C), H) &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  (r1_xxreal_0(k17_euclid(D), F) &  (r1_topreal1(k15_euclid(2), A, C, I) &  (r1_topreal1(k15_euclid(2), B, D, J) &  (r1_tarski(I, k2_jgraph_6(E, F, G, H)) &  (r1_tarski(J, k2_jgraph_6(E, F, G, H)) & r1_xboole_0(I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t98_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k18_euclid(B)=H &  (k18_euclid(C)=G &  (k18_euclid(D)=G &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(A), H) &  (r1_xxreal_0(E, k17_euclid(B)) &  (r1_xxreal_0(k17_euclid(B), F) &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  ( ~ (r1_xxreal_0(k17_euclid(C), k17_euclid(D)))  &  (r1_xxreal_0(k17_euclid(C), F) &  (k1_funct_1(I, k5_numbers)=A &  (k1_funct_1(I, 1)=C &  (k1_funct_1(J, k5_numbers)=B &  (k1_funct_1(J, 1)=D &  (v5_pre_topc(I, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(I) &  (v5_pre_topc(J, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(J) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_jgraph_6(E, F, G, H)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), J), k2_jgraph_6(E, F, G, H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_relset_1(u1_struct_0(k15_euclid(2)), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t99_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k18_euclid(B)=H &  (k18_euclid(C)=G &  (k18_euclid(D)=G &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(A), H) &  (r1_xxreal_0(E, k17_euclid(B)) &  (r1_xxreal_0(k17_euclid(B), F) &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  ( ~ (r1_xxreal_0(k17_euclid(C), k17_euclid(D)))  &  (r1_xxreal_0(k17_euclid(C), F) &  (r1_topreal1(k15_euclid(2), A, C, I) &  (r1_topreal1(k15_euclid(2), B, D, J) &  (r1_tarski(I, k2_jgraph_6(E, F, G, H)) &  (r1_tarski(J, k2_jgraph_6(E, F, G, H)) & r1_xboole_0(I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t100_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k17_euclid(B)=F &  (k17_euclid(C)=F &  (k17_euclid(D)=F &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(A), H) &  (r1_xxreal_0(G, k18_euclid(D)) &  ( ~ (r1_xxreal_0(k18_euclid(C), k18_euclid(D)))  &  ( ~ (r1_xxreal_0(k18_euclid(B), k18_euclid(C)))  &  (r1_xxreal_0(k18_euclid(B), H) &  (k1_funct_1(I, k5_numbers)=A &  (k1_funct_1(I, 1)=C &  (k1_funct_1(J, k5_numbers)=B &  (k1_funct_1(J, 1)=D &  (v5_pre_topc(I, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(I) &  (v5_pre_topc(J, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(J) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_jgraph_6(E, F, G, H)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), J), k2_jgraph_6(E, F, G, H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_relset_1(u1_struct_0(k15_euclid(2)), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t101_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k17_euclid(B)=F &  (k17_euclid(C)=F &  (k17_euclid(D)=F &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(A), H) &  (r1_xxreal_0(G, k18_euclid(D)) &  ( ~ (r1_xxreal_0(k18_euclid(C), k18_euclid(D)))  &  ( ~ (r1_xxreal_0(k18_euclid(B), k18_euclid(C)))  &  (r1_xxreal_0(k18_euclid(B), H) &  (r1_topreal1(k15_euclid(2), A, C, I) &  (r1_topreal1(k15_euclid(2), B, D, J) &  (r1_tarski(I, k2_jgraph_6(E, F, G, H)) &  (r1_tarski(J, k2_jgraph_6(E, F, G, H)) & r1_xboole_0(I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t102_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k17_euclid(B)=F &  (k17_euclid(C)=F &  (k18_euclid(D)=G &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(A), H) &  (r1_xxreal_0(G, k18_euclid(C)) &  ( ~ (r1_xxreal_0(k18_euclid(B), k18_euclid(C)))  &  (r1_xxreal_0(k18_euclid(B), H) &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  (r1_xxreal_0(k17_euclid(D), F) &  (k1_funct_1(I, k5_numbers)=A &  (k1_funct_1(I, 1)=C &  (k1_funct_1(J, k5_numbers)=B &  (k1_funct_1(J, 1)=D &  (v5_pre_topc(I, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(I) &  (v5_pre_topc(J, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(J) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_jgraph_6(E, F, G, H)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), J), k2_jgraph_6(E, F, G, H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_relset_1(u1_struct_0(k15_euclid(2)), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t103_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k17_euclid(B)=F &  (k17_euclid(C)=F &  (k18_euclid(D)=G &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(A), H) &  (r1_xxreal_0(G, k18_euclid(C)) &  ( ~ (r1_xxreal_0(k18_euclid(B), k18_euclid(C)))  &  (r1_xxreal_0(k18_euclid(B), H) &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  (r1_xxreal_0(k17_euclid(D), F) &  (r1_topreal1(k15_euclid(2), A, C, I) &  (r1_topreal1(k15_euclid(2), B, D, J) &  (r1_tarski(I, k2_jgraph_6(E, F, G, H)) &  (r1_tarski(J, k2_jgraph_6(E, F, G, H)) & r1_xboole_0(I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t104_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k17_euclid(B)=F &  (k18_euclid(C)=G &  (k18_euclid(D)=G &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(A), H) &  (r1_xxreal_0(G, k18_euclid(B)) &  (r1_xxreal_0(k18_euclid(B), H) &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  ( ~ (r1_xxreal_0(k17_euclid(C), k17_euclid(D)))  &  (r1_xxreal_0(k17_euclid(C), F) &  (k1_funct_1(I, k5_numbers)=A &  (k1_funct_1(I, 1)=C &  (k1_funct_1(J, k5_numbers)=B &  (k1_funct_1(J, 1)=D &  (v5_pre_topc(I, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(I) &  (v5_pre_topc(J, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(J) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_jgraph_6(E, F, G, H)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), J), k2_jgraph_6(E, F, G, H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_relset_1(u1_struct_0(k15_euclid(2)), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t105_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k17_euclid(B)=F &  (k18_euclid(C)=G &  (k18_euclid(D)=G &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(A), H) &  (r1_xxreal_0(G, k18_euclid(B)) &  (r1_xxreal_0(k18_euclid(B), H) &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  ( ~ (r1_xxreal_0(k17_euclid(C), k17_euclid(D)))  &  (r1_xxreal_0(k17_euclid(C), F) &  (r1_topreal1(k15_euclid(2), A, C, I) &  (r1_topreal1(k15_euclid(2), B, D, J) &  (r1_tarski(I, k2_jgraph_6(E, F, G, H)) &  (r1_tarski(J, k2_jgraph_6(E, F, G, H)) & r1_xboole_0(I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t106_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k18_euclid(B)=G &  (k18_euclid(C)=G &  (k18_euclid(D)=G &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(A), H) &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  ( ~ (r1_xxreal_0(k17_euclid(C), k17_euclid(D)))  &  ( ~ (r1_xxreal_0(k17_euclid(B), k17_euclid(C)))  &  (r1_xxreal_0(k17_euclid(B), F) &  (k1_funct_1(I, k5_numbers)=A &  (k1_funct_1(I, 1)=C &  (k1_funct_1(J, k5_numbers)=B &  (k1_funct_1(J, 1)=D &  (v5_pre_topc(I, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(I) &  (v5_pre_topc(J, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(J) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_jgraph_6(E, F, G, H)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), J), k2_jgraph_6(E, F, G, H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_relset_1(u1_struct_0(k15_euclid(2)), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t107_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=E &  (k18_euclid(B)=G &  (k18_euclid(C)=G &  (k18_euclid(D)=G &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(A), H) &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  ( ~ (r1_xxreal_0(k17_euclid(C), k17_euclid(D)))  &  ( ~ (r1_xxreal_0(k17_euclid(B), k17_euclid(C)))  &  (r1_xxreal_0(k17_euclid(B), F) &  (r1_topreal1(k15_euclid(2), A, C, I) &  (r1_topreal1(k15_euclid(2), B, D, J) &  (r1_tarski(I, k2_jgraph_6(E, F, G, H)) &  (r1_tarski(J, k2_jgraph_6(E, F, G, H)) & r1_xboole_0(I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t108_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k18_euclid(A)=H &  (k18_euclid(B)=H &  (k18_euclid(C)=H &  (k18_euclid(D)=H &  (r1_xxreal_0(E, k17_euclid(A)) &  ( ~ (r1_xxreal_0(k17_euclid(B), k17_euclid(A)))  &  ( ~ (r1_xxreal_0(k17_euclid(C), k17_euclid(B)))  &  ( ~ (r1_xxreal_0(k17_euclid(D), k17_euclid(C)))  &  (r1_xxreal_0(k17_euclid(D), F) &  (k1_funct_1(I, k5_numbers)=A &  (k1_funct_1(I, 1)=C &  (k1_funct_1(J, k5_numbers)=B &  (k1_funct_1(J, 1)=D &  (v5_pre_topc(I, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(I) &  (v5_pre_topc(J, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(J) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_jgraph_6(E, F, G, H)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), J), k2_jgraph_6(E, F, G, H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_relset_1(u1_struct_0(k15_euclid(2)), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t109_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k18_euclid(A)=H &  (k18_euclid(B)=H &  (k18_euclid(C)=H &  (k18_euclid(D)=H &  (r1_xxreal_0(E, k17_euclid(A)) &  ( ~ (r1_xxreal_0(k17_euclid(B), k17_euclid(A)))  &  ( ~ (r1_xxreal_0(k17_euclid(C), k17_euclid(B)))  &  ( ~ (r1_xxreal_0(k17_euclid(D), k17_euclid(C)))  &  (r1_xxreal_0(k17_euclid(D), F) &  (r1_topreal1(k15_euclid(2), A, C, I) &  (r1_topreal1(k15_euclid(2), B, D, J) &  (r1_tarski(I, k2_jgraph_6(E, F, G, H)) &  (r1_tarski(J, k2_jgraph_6(E, F, G, H)) & r1_xboole_0(I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t110_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k18_euclid(A)=H &  (k18_euclid(B)=H &  (k18_euclid(C)=H &  (k17_euclid(D)=F &  (r1_xxreal_0(E, k17_euclid(A)) &  ( ~ (r1_xxreal_0(k17_euclid(B), k17_euclid(A)))  &  ( ~ (r1_xxreal_0(k17_euclid(C), k17_euclid(B)))  &  (r1_xxreal_0(k17_euclid(C), F) &  (r1_xxreal_0(G, k18_euclid(D)) &  (r1_xxreal_0(k18_euclid(D), H) &  (k1_funct_1(I, k5_numbers)=A &  (k1_funct_1(I, 1)=C &  (k1_funct_1(J, k5_numbers)=B &  (k1_funct_1(J, 1)=D &  (v5_pre_topc(I, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(I) &  (v5_pre_topc(J, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(J) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_jgraph_6(E, F, G, H)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), J), k2_jgraph_6(E, F, G, H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_relset_1(u1_struct_0(k15_euclid(2)), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t111_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k18_euclid(A)=H &  (k18_euclid(B)=H &  (k18_euclid(C)=H &  (k17_euclid(D)=F &  (r1_xxreal_0(E, k17_euclid(A)) &  ( ~ (r1_xxreal_0(k17_euclid(B), k17_euclid(A)))  &  ( ~ (r1_xxreal_0(k17_euclid(C), k17_euclid(B)))  &  (r1_xxreal_0(k17_euclid(C), F) &  (r1_xxreal_0(G, k18_euclid(D)) &  (r1_xxreal_0(k18_euclid(D), H) &  (r1_topreal1(k15_euclid(2), A, C, I) &  (r1_topreal1(k15_euclid(2), B, D, J) &  (r1_tarski(I, k2_jgraph_6(E, F, G, H)) &  (r1_tarski(J, k2_jgraph_6(E, F, G, H)) & r1_xboole_0(I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t112_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k18_euclid(A)=H &  (k18_euclid(B)=H &  (k18_euclid(C)=H &  (k18_euclid(D)=G &  (r1_xxreal_0(E, k17_euclid(A)) &  ( ~ (r1_xxreal_0(k17_euclid(B), k17_euclid(A)))  &  ( ~ (r1_xxreal_0(k17_euclid(C), k17_euclid(B)))  &  (r1_xxreal_0(k17_euclid(C), F) &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  (r1_xxreal_0(k17_euclid(D), F) &  (k1_funct_1(I, k5_numbers)=A &  (k1_funct_1(I, 1)=C &  (k1_funct_1(J, k5_numbers)=B &  (k1_funct_1(J, 1)=D &  (v5_pre_topc(I, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(I) &  (v5_pre_topc(J, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(J) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_jgraph_6(E, F, G, H)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), J), k2_jgraph_6(E, F, G, H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_relset_1(u1_struct_0(k15_euclid(2)), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t113_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k18_euclid(A)=H &  (k18_euclid(B)=H &  (k18_euclid(C)=H &  (k18_euclid(D)=G &  (r1_xxreal_0(E, k17_euclid(A)) &  ( ~ (r1_xxreal_0(k17_euclid(B), k17_euclid(A)))  &  ( ~ (r1_xxreal_0(k17_euclid(C), k17_euclid(B)))  &  (r1_xxreal_0(k17_euclid(C), F) &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  (r1_xxreal_0(k17_euclid(D), F) &  (r1_topreal1(k15_euclid(2), A, C, I) &  (r1_topreal1(k15_euclid(2), B, D, J) &  (r1_tarski(I, k2_jgraph_6(E, F, G, H)) &  (r1_tarski(J, k2_jgraph_6(E, F, G, H)) & r1_xboole_0(I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t114_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k18_euclid(A)=H &  (k18_euclid(B)=H &  (k17_euclid(C)=F &  (k17_euclid(D)=F &  (r1_xxreal_0(E, k17_euclid(A)) &  ( ~ (r1_xxreal_0(k17_euclid(B), k17_euclid(A)))  &  (r1_xxreal_0(k17_euclid(B), F) &  (r1_xxreal_0(G, k18_euclid(D)) &  ( ~ (r1_xxreal_0(k18_euclid(C), k18_euclid(D)))  &  (r1_xxreal_0(k18_euclid(C), H) &  (k1_funct_1(I, k5_numbers)=A &  (k1_funct_1(I, 1)=C &  (k1_funct_1(J, k5_numbers)=B &  (k1_funct_1(J, 1)=D &  (v5_pre_topc(I, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(I) &  (v5_pre_topc(J, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(J) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_jgraph_6(E, F, G, H)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), J), k2_jgraph_6(E, F, G, H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_relset_1(u1_struct_0(k15_euclid(2)), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t115_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k18_euclid(A)=H &  (k18_euclid(B)=H &  (k17_euclid(C)=F &  (k17_euclid(D)=F &  (r1_xxreal_0(E, k17_euclid(A)) &  ( ~ (r1_xxreal_0(k17_euclid(B), k17_euclid(A)))  &  (r1_xxreal_0(k17_euclid(B), F) &  (r1_xxreal_0(G, k18_euclid(D)) &  ( ~ (r1_xxreal_0(k18_euclid(C), k18_euclid(D)))  &  (r1_xxreal_0(k18_euclid(C), H) &  (r1_topreal1(k15_euclid(2), A, C, I) &  (r1_topreal1(k15_euclid(2), B, D, J) &  (r1_tarski(I, k2_jgraph_6(E, F, G, H)) &  (r1_tarski(J, k2_jgraph_6(E, F, G, H)) & r1_xboole_0(I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t116_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k18_euclid(A)=H &  (k18_euclid(B)=H &  (k17_euclid(C)=F &  (k18_euclid(D)=G &  (r1_xxreal_0(E, k17_euclid(A)) &  ( ~ (r1_xxreal_0(k17_euclid(B), k17_euclid(A)))  &  (r1_xxreal_0(k17_euclid(B), F) &  (r1_xxreal_0(G, k18_euclid(C)) &  (r1_xxreal_0(k18_euclid(C), H) &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  (r1_xxreal_0(k17_euclid(D), F) &  (k1_funct_1(I, k5_numbers)=A &  (k1_funct_1(I, 1)=C &  (k1_funct_1(J, k5_numbers)=B &  (k1_funct_1(J, 1)=D &  (v5_pre_topc(I, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(I) &  (v5_pre_topc(J, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(J) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_jgraph_6(E, F, G, H)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), J), k2_jgraph_6(E, F, G, H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_relset_1(u1_struct_0(k15_euclid(2)), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t117_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k18_euclid(A)=H &  (k18_euclid(B)=H &  (k17_euclid(C)=F &  (k18_euclid(D)=G &  (r1_xxreal_0(E, k17_euclid(A)) &  ( ~ (r1_xxreal_0(k17_euclid(B), k17_euclid(A)))  &  (r1_xxreal_0(k17_euclid(B), F) &  (r1_xxreal_0(G, k18_euclid(C)) &  (r1_xxreal_0(k18_euclid(C), H) &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  (r1_xxreal_0(k17_euclid(D), F) &  (r1_topreal1(k15_euclid(2), A, C, I) &  (r1_topreal1(k15_euclid(2), B, D, J) &  (r1_tarski(I, k2_jgraph_6(E, F, G, H)) &  (r1_tarski(J, k2_jgraph_6(E, F, G, H)) & r1_xboole_0(I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t118_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k18_euclid(A)=H &  (k18_euclid(B)=H &  (k18_euclid(C)=G &  (k18_euclid(D)=G &  (r1_xxreal_0(E, k17_euclid(A)) &  ( ~ (r1_xxreal_0(k17_euclid(B), k17_euclid(A)))  &  (r1_xxreal_0(k17_euclid(B), F) &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  ( ~ (r1_xxreal_0(k17_euclid(C), k17_euclid(D)))  &  (r1_xxreal_0(k17_euclid(C), F) &  (k1_funct_1(I, k5_numbers)=A &  (k1_funct_1(I, 1)=C &  (k1_funct_1(J, k5_numbers)=B &  (k1_funct_1(J, 1)=D &  (v5_pre_topc(I, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(I) &  (v5_pre_topc(J, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(J) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_jgraph_6(E, F, G, H)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), J), k2_jgraph_6(E, F, G, H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_relset_1(u1_struct_0(k15_euclid(2)), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t119_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k18_euclid(A)=H &  (k18_euclid(B)=H &  (k18_euclid(C)=G &  (k18_euclid(D)=G &  (r1_xxreal_0(E, k17_euclid(A)) &  ( ~ (r1_xxreal_0(k17_euclid(B), k17_euclid(A)))  &  (r1_xxreal_0(k17_euclid(B), F) &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  ( ~ (r1_xxreal_0(k17_euclid(C), k17_euclid(D)))  &  (r1_xxreal_0(k17_euclid(C), F) &  (r1_topreal1(k15_euclid(2), A, C, I) &  (r1_topreal1(k15_euclid(2), B, D, J) &  (r1_tarski(I, k2_jgraph_6(E, F, G, H)) &  (r1_tarski(J, k2_jgraph_6(E, F, G, H)) & r1_xboole_0(I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t120_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k18_euclid(A)=H &  (k17_euclid(B)=F &  (k17_euclid(C)=F &  (k17_euclid(D)=F &  (r1_xxreal_0(E, k17_euclid(A)) &  (r1_xxreal_0(k17_euclid(A), F) &  (r1_xxreal_0(k18_euclid(B), H) &  ( ~ (r1_xxreal_0(k18_euclid(B), k18_euclid(C)))  &  ( ~ (r1_xxreal_0(k18_euclid(C), k18_euclid(D)))  &  (r1_xxreal_0(G, k18_euclid(D)) &  (k1_funct_1(I, k5_numbers)=A &  (k1_funct_1(I, 1)=C &  (k1_funct_1(J, k5_numbers)=B &  (k1_funct_1(J, 1)=D &  (v5_pre_topc(I, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(I) &  (v5_pre_topc(J, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(J) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_jgraph_6(E, F, G, H)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), J), k2_jgraph_6(E, F, G, H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_relset_1(u1_struct_0(k15_euclid(2)), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t121_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k18_euclid(A)=H &  (k17_euclid(B)=F &  (k17_euclid(C)=F &  (k17_euclid(D)=F &  (r1_xxreal_0(E, k17_euclid(A)) &  (r1_xxreal_0(k17_euclid(A), F) &  (r1_xxreal_0(k18_euclid(B), H) &  ( ~ (r1_xxreal_0(k18_euclid(B), k18_euclid(C)))  &  ( ~ (r1_xxreal_0(k18_euclid(C), k18_euclid(D)))  &  (r1_xxreal_0(G, k18_euclid(D)) &  (r1_topreal1(k15_euclid(2), A, C, I) &  (r1_topreal1(k15_euclid(2), B, D, J) &  (r1_tarski(I, k2_jgraph_6(E, F, G, H)) &  (r1_tarski(J, k2_jgraph_6(E, F, G, H)) & r1_xboole_0(I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t122_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k18_euclid(A)=H &  (k17_euclid(B)=F &  (k17_euclid(C)=F &  (k18_euclid(D)=G &  (r1_xxreal_0(E, k17_euclid(A)) &  (r1_xxreal_0(k17_euclid(A), F) &  (r1_xxreal_0(k18_euclid(B), H) &  ( ~ (r1_xxreal_0(k18_euclid(B), k18_euclid(C)))  &  (r1_xxreal_0(G, k18_euclid(C)) &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  (r1_xxreal_0(k17_euclid(D), F) &  (k1_funct_1(I, k5_numbers)=A &  (k1_funct_1(I, 1)=C &  (k1_funct_1(J, k5_numbers)=B &  (k1_funct_1(J, 1)=D &  (v5_pre_topc(I, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(I) &  (v5_pre_topc(J, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(J) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_jgraph_6(E, F, G, H)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), J), k2_jgraph_6(E, F, G, H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_relset_1(u1_struct_0(k15_euclid(2)), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t123_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k18_euclid(A)=H &  (k17_euclid(B)=F &  (k17_euclid(C)=F &  (k18_euclid(D)=G &  (r1_xxreal_0(E, k17_euclid(A)) &  (r1_xxreal_0(k17_euclid(A), F) &  (r1_xxreal_0(k18_euclid(B), H) &  ( ~ (r1_xxreal_0(k18_euclid(B), k18_euclid(C)))  &  (r1_xxreal_0(G, k18_euclid(C)) &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  (r1_xxreal_0(k17_euclid(D), F) &  (r1_topreal1(k15_euclid(2), A, C, I) &  (r1_topreal1(k15_euclid(2), B, D, J) &  (r1_tarski(I, k2_jgraph_6(E, F, G, H)) &  (r1_tarski(J, k2_jgraph_6(E, F, G, H)) & r1_xboole_0(I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t124_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k18_euclid(A)=H &  (k17_euclid(B)=F &  (k18_euclid(C)=G &  (k18_euclid(D)=G &  (r1_xxreal_0(E, k17_euclid(A)) &  (r1_xxreal_0(k17_euclid(A), F) &  (r1_xxreal_0(G, k18_euclid(B)) &  (r1_xxreal_0(k18_euclid(B), H) &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  ( ~ (r1_xxreal_0(k17_euclid(C), k17_euclid(D)))  &  (r1_xxreal_0(k17_euclid(C), F) &  (k1_funct_1(I, k5_numbers)=A &  (k1_funct_1(I, 1)=C &  (k1_funct_1(J, k5_numbers)=B &  (k1_funct_1(J, 1)=D &  (v5_pre_topc(I, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(I) &  (v5_pre_topc(J, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(J) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_jgraph_6(E, F, G, H)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), J), k2_jgraph_6(E, F, G, H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_relset_1(u1_struct_0(k15_euclid(2)), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t125_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k18_euclid(A)=H &  (k17_euclid(B)=F &  (k18_euclid(C)=G &  (k18_euclid(D)=G &  (r1_xxreal_0(E, k17_euclid(A)) &  (r1_xxreal_0(k17_euclid(A), F) &  (r1_xxreal_0(G, k18_euclid(B)) &  (r1_xxreal_0(k18_euclid(B), H) &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  ( ~ (r1_xxreal_0(k17_euclid(C), k17_euclid(D)))  &  (r1_xxreal_0(k17_euclid(C), F) &  (r1_topreal1(k15_euclid(2), A, C, I) &  (r1_topreal1(k15_euclid(2), B, D, J) &  (r1_tarski(I, k2_jgraph_6(E, F, G, H)) &  (r1_tarski(J, k2_jgraph_6(E, F, G, H)) & r1_xboole_0(I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t126_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k18_euclid(A)=H &  (k18_euclid(B)=G &  (k18_euclid(C)=G &  (k18_euclid(D)=G &  (r1_xxreal_0(E, k17_euclid(A)) &  (r1_xxreal_0(k17_euclid(A), F) &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  ( ~ (r1_xxreal_0(k17_euclid(C), k17_euclid(D)))  &  ( ~ (r1_xxreal_0(k17_euclid(B), k17_euclid(C)))  &  (r1_xxreal_0(k17_euclid(B), F) &  (k1_funct_1(I, k5_numbers)=A &  (k1_funct_1(I, 1)=C &  (k1_funct_1(J, k5_numbers)=B &  (k1_funct_1(J, 1)=D &  (v5_pre_topc(I, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(I) &  (v5_pre_topc(J, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(J) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_jgraph_6(E, F, G, H)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), J), k2_jgraph_6(E, F, G, H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_relset_1(u1_struct_0(k15_euclid(2)), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t127_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k18_euclid(A)=H &  (k18_euclid(B)=G &  (k18_euclid(C)=G &  (k18_euclid(D)=G &  (r1_xxreal_0(E, k17_euclid(A)) &  (r1_xxreal_0(k17_euclid(A), F) &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  ( ~ (r1_xxreal_0(k17_euclid(C), k17_euclid(D)))  &  ( ~ (r1_xxreal_0(k17_euclid(B), k17_euclid(C)))  &  (r1_xxreal_0(k17_euclid(B), F) &  (r1_topreal1(k15_euclid(2), A, C, I) &  (r1_topreal1(k15_euclid(2), B, D, J) &  (r1_tarski(I, k2_jgraph_6(E, F, G, H)) &  (r1_tarski(J, k2_jgraph_6(E, F, G, H)) & r1_xboole_0(I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t128_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=F &  (k17_euclid(B)=F &  (k17_euclid(C)=F &  (k17_euclid(D)=F &  (r1_xxreal_0(k18_euclid(A), H) &  ( ~ (r1_xxreal_0(k18_euclid(A), k18_euclid(B)))  &  ( ~ (r1_xxreal_0(k18_euclid(B), k18_euclid(C)))  &  ( ~ (r1_xxreal_0(k18_euclid(C), k18_euclid(D)))  &  (r1_xxreal_0(G, k18_euclid(D)) &  (k1_funct_1(I, k5_numbers)=A &  (k1_funct_1(I, 1)=C &  (k1_funct_1(J, k5_numbers)=B &  (k1_funct_1(J, 1)=D &  (v5_pre_topc(I, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(I) &  (v5_pre_topc(J, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(J) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_jgraph_6(E, F, G, H)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), J), k2_jgraph_6(E, F, G, H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_relset_1(u1_struct_0(k15_euclid(2)), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t129_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=F &  (k17_euclid(B)=F &  (k17_euclid(C)=F &  (k17_euclid(D)=F &  (r1_xxreal_0(k18_euclid(A), H) &  ( ~ (r1_xxreal_0(k18_euclid(A), k18_euclid(B)))  &  ( ~ (r1_xxreal_0(k18_euclid(B), k18_euclid(C)))  &  ( ~ (r1_xxreal_0(k18_euclid(C), k18_euclid(D)))  &  (r1_xxreal_0(G, k18_euclid(D)) &  (r1_topreal1(k15_euclid(2), A, C, I) &  (r1_topreal1(k15_euclid(2), B, D, J) &  (r1_tarski(I, k2_jgraph_6(E, F, G, H)) &  (r1_tarski(J, k2_jgraph_6(E, F, G, H)) & r1_xboole_0(I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t130_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=F &  (k17_euclid(B)=F &  (k17_euclid(C)=F &  (k18_euclid(D)=G &  (r1_xxreal_0(k18_euclid(A), H) &  ( ~ (r1_xxreal_0(k18_euclid(A), k18_euclid(B)))  &  ( ~ (r1_xxreal_0(k18_euclid(B), k18_euclid(C)))  &  (r1_xxreal_0(G, k18_euclid(C)) &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  (r1_xxreal_0(k17_euclid(D), F) &  (k1_funct_1(I, k5_numbers)=A &  (k1_funct_1(I, 1)=C &  (k1_funct_1(J, k5_numbers)=B &  (k1_funct_1(J, 1)=D &  (v5_pre_topc(I, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(I) &  (v5_pre_topc(J, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(J) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_jgraph_6(E, F, G, H)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), J), k2_jgraph_6(E, F, G, H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_relset_1(u1_struct_0(k15_euclid(2)), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t131_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=F &  (k17_euclid(B)=F &  (k17_euclid(C)=F &  (k18_euclid(D)=G &  (r1_xxreal_0(k18_euclid(A), H) &  ( ~ (r1_xxreal_0(k18_euclid(A), k18_euclid(B)))  &  ( ~ (r1_xxreal_0(k18_euclid(B), k18_euclid(C)))  &  (r1_xxreal_0(G, k18_euclid(C)) &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  (r1_xxreal_0(k17_euclid(D), F) &  (r1_topreal1(k15_euclid(2), A, C, I) &  (r1_topreal1(k15_euclid(2), B, D, J) &  (r1_tarski(I, k2_jgraph_6(E, F, G, H)) &  (r1_tarski(J, k2_jgraph_6(E, F, G, H)) & r1_xboole_0(I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t132_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=F &  (k17_euclid(B)=F &  (k18_euclid(C)=G &  (k18_euclid(D)=G &  (r1_xxreal_0(k18_euclid(A), H) &  ( ~ (r1_xxreal_0(k18_euclid(A), k18_euclid(B)))  &  (r1_xxreal_0(G, k18_euclid(B)) &  (r1_xxreal_0(k17_euclid(C), F) &  ( ~ (r1_xxreal_0(k17_euclid(C), k17_euclid(D)))  &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  (k1_funct_1(I, k5_numbers)=A &  (k1_funct_1(I, 1)=C &  (k1_funct_1(J, k5_numbers)=B &  (k1_funct_1(J, 1)=D &  (v5_pre_topc(I, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(I) &  (v5_pre_topc(J, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(J) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_jgraph_6(E, F, G, H)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), J), k2_jgraph_6(E, F, G, H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_relset_1(u1_struct_0(k15_euclid(2)), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t133_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=F &  (k17_euclid(B)=F &  (k18_euclid(C)=G &  (k18_euclid(D)=G &  (r1_xxreal_0(k18_euclid(A), H) &  ( ~ (r1_xxreal_0(k18_euclid(A), k18_euclid(B)))  &  (r1_xxreal_0(G, k18_euclid(B)) &  (r1_xxreal_0(k17_euclid(C), F) &  ( ~ (r1_xxreal_0(k17_euclid(C), k17_euclid(D)))  &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  (r1_topreal1(k15_euclid(2), A, C, I) &  (r1_topreal1(k15_euclid(2), B, D, J) &  (r1_tarski(I, k2_jgraph_6(E, F, G, H)) &  (r1_tarski(J, k2_jgraph_6(E, F, G, H)) & r1_xboole_0(I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t134_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=F &  (k18_euclid(B)=G &  (k18_euclid(C)=G &  (k18_euclid(D)=G &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(A), H) &  (r1_xxreal_0(k17_euclid(B), F) &  ( ~ (r1_xxreal_0(k17_euclid(B), k17_euclid(C)))  &  ( ~ (r1_xxreal_0(k17_euclid(C), k17_euclid(D)))  &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  (k1_funct_1(I, k5_numbers)=A &  (k1_funct_1(I, 1)=C &  (k1_funct_1(J, k5_numbers)=B &  (k1_funct_1(J, 1)=D &  (v5_pre_topc(I, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(I) &  (v5_pre_topc(J, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(J) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_jgraph_6(E, F, G, H)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), J), k2_jgraph_6(E, F, G, H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_relset_1(u1_struct_0(k15_euclid(2)), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t135_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k17_euclid(A)=F &  (k18_euclid(B)=G &  (k18_euclid(C)=G &  (k18_euclid(D)=G &  (r1_xxreal_0(G, k18_euclid(A)) &  (r1_xxreal_0(k18_euclid(A), H) &  (r1_xxreal_0(k17_euclid(B), F) &  ( ~ (r1_xxreal_0(k17_euclid(B), k17_euclid(C)))  &  ( ~ (r1_xxreal_0(k17_euclid(C), k17_euclid(D)))  &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  (r1_topreal1(k15_euclid(2), A, C, I) &  (r1_topreal1(k15_euclid(2), B, D, J) &  (r1_tarski(I, k2_jgraph_6(E, F, G, H)) &  (r1_tarski(J, k2_jgraph_6(E, F, G, H)) & r1_xboole_0(I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t136_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k18_euclid(A)=G &  (k18_euclid(B)=G &  (k18_euclid(C)=G &  (k18_euclid(D)=G &  (r1_xxreal_0(k17_euclid(A), F) &  ( ~ (r1_xxreal_0(k17_euclid(A), k17_euclid(B)))  &  ( ~ (r1_xxreal_0(k17_euclid(B), k17_euclid(C)))  &  ( ~ (r1_xxreal_0(k17_euclid(C), k17_euclid(D)))  &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  (k1_funct_1(I, k5_numbers)=A &  (k1_funct_1(I, 1)=C &  (k1_funct_1(J, k5_numbers)=B &  (k1_funct_1(J, 1)=D &  (v5_pre_topc(I, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(I) &  (v5_pre_topc(J, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(J) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_jgraph_6(E, F, G, H)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), J), k2_jgraph_6(E, F, G, H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)), I), k2_relset_1(u1_struct_0(k15_euclid(2)), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t137_jgraph_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(H, G))  &  (k18_euclid(A)=G &  (k18_euclid(B)=G &  (k18_euclid(C)=G &  (k18_euclid(D)=G &  (r1_xxreal_0(k17_euclid(A), F) &  ( ~ (r1_xxreal_0(k17_euclid(A), k17_euclid(B)))  &  ( ~ (r1_xxreal_0(k17_euclid(B), k17_euclid(C)))  &  ( ~ (r1_xxreal_0(k17_euclid(C), k17_euclid(D)))  &  ( ~ (r1_xxreal_0(k17_euclid(D), E))  &  (r1_topreal1(k15_euclid(2), A, C, I) &  (r1_topreal1(k15_euclid(2), B, D, J) &  (r1_tarski(I, k2_jgraph_6(E, F, G, H)) &  (r1_tarski(J, k2_jgraph_6(E, F, G, H)) & r1_xboole_0(I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_jgraph_8, axiom,  (! [A, B, C, D] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v1_xreal_0(C) & v1_xreal_0(D)) ) )  => v1_convex1(k2_jgraph_6(A, B, C, D), k15_euclid(2))) ) ).
fof(fc2_jgraph_8, axiom,  (! [A, B, C, D] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v1_xreal_0(C) & v1_xreal_0(D)) ) )  => v1_topalg_2(k1_topreala(A, B, C, D), 2)) ) ).
fof(t1_jgraph_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_xxreal_0(B) & v1_xreal_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k17_borsuk_1), u1_struct_0(k15_euclid(A))) &  (v5_pre_topc(C, k17_borsuk_1, k15_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_borsuk_1), u1_struct_0(k15_euclid(A)))))) ) )  =>  (? [D] :  (m2_finseq_1(D, k1_numbers) &  (k1_funct_1(D, 1)=k5_numbers &  (k1_funct_1(D, k3_finseq_1(D))=1 &  (r1_xxreal_0(5, k3_finseq_1(D)) &  (r1_tarski(k2_relset_1(k1_numbers, D), u1_struct_0(k17_borsuk_1)) &  (v5_valued_0(D) &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k17_borsuk_1))) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(k14_euclid(A)))) =>  ~ ( (r1_xxreal_0(1, E) &  ( ~ (r1_xxreal_0(k3_finseq_1(D), E))  &  (F=k1_rcomp_1(k7_partfun1(k1_numbers, D, E), k7_partfun1(k1_numbers, D, k1_nat_1(E, 1))) &  (G=k7_relset_1(u1_struct_0(k17_borsuk_1), u1_struct_0(k15_euclid(A)), C, F) & r1_xxreal_0(B, k2_tbsp_1(k14_euclid(A), G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_jgraph_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  ( (r1_tarski(D, k1_rltopsp1(k15_euclid(A), B, C)) &  (r2_tarski(B, D) &  (r2_tarski(C, D) & v2_connsp_1(D, k15_euclid(A))) ) )  => D=k1_rltopsp1(k15_euclid(A), B, C)) ) ) ) ) ) ) ) ) ).
fof(t3_jgraph_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_borsuk_2(D, k15_euclid(A), B, C) =>  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(A)), D), k1_rltopsp1(k15_euclid(A), B, C)) => k2_relset_1(u1_struct_0(k15_euclid(A)), D)=k1_rltopsp1(k15_euclid(A), B, C)) ) ) ) ) ) ) ) ) ).
fof(t4_jgraph_8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  (! [G] :  (m1_borsuk_2(G, k15_euclid(2), C, D) =>  (! [H] :  (m1_borsuk_2(H, k15_euclid(2), E, F) =>  ~ ( (k2_relset_1(u1_struct_0(k15_euclid(2)), G)=A &  (k2_relset_1(u1_struct_0(k15_euclid(2)), H)=B &  ( (! [I] :  (m1_subset_1(I, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(I, A) =>  (r1_xxreal_0(k17_euclid(C), k17_euclid(I)) & r1_xxreal_0(k17_euclid(I), k17_euclid(D))) ) ) )  &  ( (! [I] :  (m1_subset_1(I, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(I, B) =>  (r1_xxreal_0(k17_euclid(C), k17_euclid(I)) & r1_xxreal_0(k17_euclid(I), k17_euclid(D))) ) ) )  &  ( (! [I] :  (m1_subset_1(I, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(I, A) =>  (r1_xxreal_0(k18_euclid(E), k18_euclid(I)) & r1_xxreal_0(k18_euclid(I), k18_euclid(F))) ) ) )  &  ( (! [I] :  (m1_subset_1(I, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(I, B) =>  (r1_xxreal_0(k18_euclid(E), k18_euclid(I)) & r1_xxreal_0(k18_euclid(I), k18_euclid(F))) ) ) )  & r2_subset_1(A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_jgraph_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k17_borsuk_1), u1_struct_0(k15_euclid(2))) &  (v5_pre_topc(E, k17_borsuk_1, k15_euclid(2)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_borsuk_1), u1_struct_0(k15_euclid(2)))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k17_borsuk_1), u1_struct_0(k15_euclid(2))) &  (v5_pre_topc(F, k17_borsuk_1, k15_euclid(2)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_borsuk_1), u1_struct_0(k15_euclid(2)))))) ) )  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k17_borsuk_1)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k17_borsuk_1)) =>  ~ ( (G=k5_numbers &  (H=1 &  (k17_euclid(k3_funct_2(u1_struct_0(k17_borsuk_1), u1_struct_0(k15_euclid(2)), E, G))=A &  (k17_euclid(k3_funct_2(u1_struct_0(k17_borsuk_1), u1_struct_0(k15_euclid(2)), E, H))=B &  (k18_euclid(k3_funct_2(u1_struct_0(k17_borsuk_1), u1_struct_0(k15_euclid(2)), F, G))=C &  (k18_euclid(k3_funct_2(u1_struct_0(k17_borsuk_1), u1_struct_0(k15_euclid(2)), F, H))=D &  ( (! [I] :  (m1_subset_1(I, u1_struct_0(k17_borsuk_1)) =>  (r1_xxreal_0(A, k17_euclid(k3_funct_2(u1_struct_0(k17_borsuk_1), u1_struct_0(k15_euclid(2)), E, I))) &  (r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k17_borsuk_1), u1_struct_0(k15_euclid(2)), E, I)), B) &  (r1_xxreal_0(A, k17_euclid(k3_funct_2(u1_struct_0(k17_borsuk_1), u1_struct_0(k15_euclid(2)), F, I))) &  (r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k17_borsuk_1), u1_struct_0(k15_euclid(2)), F, I)), B) &  (r1_xxreal_0(C, k18_euclid(k3_funct_2(u1_struct_0(k17_borsuk_1), u1_struct_0(k15_euclid(2)), E, I))) &  (r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k17_borsuk_1), u1_struct_0(k15_euclid(2)), E, I)), D) &  (r1_xxreal_0(C, k18_euclid(k3_funct_2(u1_struct_0(k17_borsuk_1), u1_struct_0(k15_euclid(2)), F, I))) & r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k17_borsuk_1), u1_struct_0(k15_euclid(2)), F, I)), D)) ) ) ) ) ) ) ) )  & r2_subset_1(k2_relset_1(u1_struct_0(k15_euclid(2)), E), k2_relset_1(u1_struct_0(k15_euclid(2)), F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_jgraph_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k1_topreala(A, B, C, D))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k1_topreala(A, B, C, D))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k1_topreala(A, B, C, D))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k1_topreala(A, B, C, D))) =>  (! [I] :  (m1_borsuk_2(I, k1_topreala(A, B, C, D), E, F) =>  (! [J] :  (m1_borsuk_2(J, k1_topreala(A, B, C, D), H, G) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(k15_euclid(2))) =>  (! [L] :  (m1_subset_1(L, u1_struct_0(k15_euclid(2))) =>  (! [M] :  (m1_subset_1(M, u1_struct_0(k15_euclid(2))) =>  (! [N] :  (m1_subset_1(N, u1_struct_0(k15_euclid(2))) =>  ~ ( (k17_euclid(K)=A &  (k17_euclid(L)=B &  (k18_euclid(M)=C &  (k18_euclid(N)=D &  (E=K &  (F=L &  (G=M &  (H=N &  (! [O] :  (m1_subset_1(O, u1_struct_0(k17_borsuk_1)) =>  (! [P] :  (m1_subset_1(P, u1_struct_0(k17_borsuk_1)) =>  ~ (k3_funct_2(u1_struct_0(k17_borsuk_1), u1_struct_0(k1_topreala(A, B, C, D)), I, O)=k3_funct_2(u1_struct_0(k17_borsuk_1), u1_struct_0(k1_topreala(A, B, C, D)), J, P)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_jordan, axiom,  (! [A, B, C] :  ( ( (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (v1_xreal_0(k1_metric_1(A, B, C)) &  ~ (v3_xxreal_0(k1_metric_1(A, B, C))) ) ) ) ).
fof(fc2_jordan, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k4_ordinal1) &  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) & m1_subset_1(C, u1_struct_0(k15_euclid(A)))) )  =>  (v1_xreal_0(k1_topreal6(A, B, C)) &  ~ (v3_xxreal_0(k1_topreal6(A, B, C))) ) ) ) ).
fof(fc3_jordan, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => v1_sppol_1(k1_rltopsp1(k15_euclid(2), k10_pscomp_1(A), k13_pscomp_1(A)))) ) ).
fof(fc4_jordan, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => v2_sppol_1(k1_rltopsp1(k15_euclid(2), k11_pscomp_1(A), k10_pscomp_1(A)))) ) ).
fof(fc5_jordan, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => v2_sppol_1(k1_rltopsp1(k15_euclid(2), k12_pscomp_1(A), k13_pscomp_1(A)))) ) ).
fof(fc6_jordan, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => v1_sppol_1(k1_rltopsp1(k15_euclid(2), k13_pscomp_1(A), k10_pscomp_1(A)))) ) ).
fof(fc7_jordan, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => v2_sppol_1(k1_rltopsp1(k15_euclid(2), k10_pscomp_1(A), k11_pscomp_1(A)))) ) ).
fof(fc8_jordan, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => v2_sppol_1(k1_rltopsp1(k15_euclid(2), k13_pscomp_1(A), k12_pscomp_1(A)))) ) ).
fof(cc1_jordan, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & v2_sppol_1(A)) )  => v1_jordan21(A)) ) ) ).
fof(cc2_jordan, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (v1_xboole_0(B) => v9_rltopsp1(B, k15_euclid(A))) ) ) ) ) ).
fof(cc3_jordan, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  ( ~ (v9_rltopsp1(B, k15_euclid(A)))  =>  ~ (v1_xboole_0(B)) ) ) ) ) ) ).
fof(rc1_jordan, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) &  (v4_funct_1(B) &  (v3_pre_topc(B, k15_euclid(A)) &  (v4_pre_topc(B, k15_euclid(A)) &  ( ~ (v9_rltopsp1(B, k15_euclid(A)))  & v1_convex1(B, k15_euclid(A))) ) ) ) ) ) ) ) ).
fof(fc9_jordan, axiom,  (! [A, B, C, D] :  ( ( (v1_xreal_0(A) & v2_xxreal_0(A))  &  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  &  (m1_subset_1(C, u1_struct_0(k15_euclid(B))) & m1_subset_1(D, u1_struct_0(k15_euclid(B)))) ) )  =>  ~ (v1_xboole_0(k4_xboole_0(k2_topreal9(B, C, A), k6_domain_1(u1_struct_0(k15_euclid(B)), D)))) ) ) ).
fof(cc4_jordan, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (v9_rltopsp1(B, k15_euclid(A)) => v1_subset_1(B, u1_struct_0(k15_euclid(A)))) ) ) ) ) ).
fof(rc2_jordan, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) &  (v4_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v4_pre_topc(B, k15_euclid(A)) &  (v9_rltopsp1(B, k15_euclid(A)) & v1_convex1(B, k15_euclid(A))) ) ) ) ) ) ) ) ).
fof(rc3_jordan, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) &  (v4_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v3_pre_topc(B, k15_euclid(A)) &  (v9_rltopsp1(B, k15_euclid(A)) & v1_convex1(B, k15_euclid(A))) ) ) ) ) ) ) ) ).
fof(fc10_jordan, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) &  (v9_rltopsp1(B, k15_euclid(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A))))) )  => v9_rltopsp1(k2_pre_topc(k15_euclid(A), B), k15_euclid(A))) ) ).
fof(fc11_jordan, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) &  (v9_rltopsp1(B, k15_euclid(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A))))) )  => v9_rltopsp1(k2_tops_1(k15_euclid(A), B), k15_euclid(A))) ) ).
fof(cc5_jordan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v8_pre_topc(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  (m1_pre_topc(B, A) =>  ( ~ (v2_struct_0(B))  =>  ( ~ (v2_struct_0(B))  & v8_pre_topc(B)) ) ) ) ) ) ).
fof(fc12_jordan, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k15_euclid(2))) & v1_xreal_0(B))  => v1_borsuk_1(k2_brouwer(2, A, B), k15_euclid(2))) ) ).
fof(fc13_jordan, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k15_euclid(2))) & v1_xreal_0(B))  => v1_compts_1(k2_brouwer(2, A, B))) ) ).
fof(fc14_jordan, axiom,  (! [A, B, C, D] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v1_xreal_0(C) & v1_xreal_0(D)) ) )  => v4_pre_topc(k2_jgraph_6(A, B, C, D), k15_euclid(2))) ) ).
fof(fc15_jordan, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (v1_funct_1(k3_jordan(A)) &  (v1_funct_2(k3_jordan(A), u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), k1_numbers) & v1_pscomp_1(k3_jordan(A), k2_borsuk_1(k15_euclid(2), k15_euclid(2)))) ) ) ) ).
fof(fc16_jordan, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (v1_funct_1(k4_jordan(A)) &  (v1_funct_2(k4_jordan(A), u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), k1_numbers) & v1_pscomp_1(k4_jordan(A), k2_borsuk_1(k15_euclid(2), k15_euclid(2)))) ) ) ) ).
fof(fc17_jordan, axiom,  (v1_funct_1(k5_jordan) &  (v1_funct_2(k5_jordan, u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), k1_numbers) & v1_pscomp_1(k5_jordan, k2_borsuk_1(k15_euclid(2), k15_euclid(2)))) ) ).
fof(fc18_jordan, axiom,  (v1_funct_1(k6_jordan) &  (v1_funct_2(k6_jordan, u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), k1_numbers) & v1_pscomp_1(k6_jordan, k2_borsuk_1(k15_euclid(2), k15_euclid(2)))) ) ).
fof(fc19_jordan, axiom,  (v1_funct_1(k7_jordan) &  (v1_funct_2(k7_jordan, u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), k1_numbers) & v1_pscomp_1(k7_jordan, k2_borsuk_1(k15_euclid(2), k15_euclid(2)))) ) ).
fof(fc20_jordan, axiom,  (v1_funct_1(k8_jordan) &  (v1_funct_2(k8_jordan, u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), k1_numbers) & v1_pscomp_1(k8_jordan, k2_borsuk_1(k15_euclid(2), k15_euclid(2)))) ) ).
fof(fc21_jordan, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ (v1_xboole_0(k1_jordan2c(2, A))) ) ) ).
fof(t1_jordan, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  ~ ( ( ~ (B=C)  & k1_rlvect_1(k15_euclid(A), k3_rlvect_1(k15_euclid(A), B, C), k7_xcmplx_0(1, 2))=B) ) ) ) ) ) ) ) ).
fof(t2_jordan, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_xxreal_0(k18_euclid(B), k18_euclid(A)))  & r1_xxreal_0(k18_euclid(k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), A, B), k7_xcmplx_0(1, 2))), k18_euclid(A))) ) ) ) ) ) ).
fof(t3_jordan, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_xxreal_0(k18_euclid(B), k18_euclid(A)))  & r1_xxreal_0(k18_euclid(B), k18_euclid(k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), A, B), k7_xcmplx_0(1, 2))))) ) ) ) ) ) ).
fof(t4_jordan, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  ( (v2_sppol_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => v2_sppol_1(k9_subset_1(u1_struct_0(k15_euclid(2)), B, A))) ) ) ) ).
fof(t5_jordan, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  ( (v1_sppol_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => v1_sppol_1(k9_subset_1(u1_struct_0(k15_euclid(2)), B, A))) ) ) ) ).
fof(t6_jordan, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(A, k1_rltopsp1(k15_euclid(2), B, C)) & v2_sppol_1(k1_rltopsp1(k15_euclid(2), B, C)))  => v2_sppol_1(k1_rltopsp1(k15_euclid(2), A, C))) ) ) ) ) ) ) ).
fof(t7_jordan, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(A, k1_rltopsp1(k15_euclid(2), B, C)) & v1_sppol_1(k1_rltopsp1(k15_euclid(2), B, C)))  => v1_sppol_1(k1_rltopsp1(k15_euclid(2), A, C))) ) ) ) ) ) ) ).
fof(t8_jordan, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_xxreal_0(k17_euclid(B), A) &  (r1_xxreal_0(A, k17_euclid(C)) & r1_xboole_0(k1_rltopsp1(k15_euclid(2), B, C), k6_jordan6(A))) ) ) ) ) ) ) ) ) ).
fof(t9_jordan, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_xxreal_0(k18_euclid(B), A) &  (r1_xxreal_0(A, k18_euclid(C)) & r1_xboole_0(k1_rltopsp1(k15_euclid(2), B, C), k7_jordan6(A))) ) ) ) ) ) ) ) ) ).
fof(t10_jordan, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => r1_xboole_0(k7_subset_1(u1_struct_0(k15_euclid(2)), k4_topreal1(k1_jordan21(A)), k6_domain_1(u1_struct_0(k15_euclid(2)), k1_jordan21(A))), A)) ) ).
fof(t11_jordan, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => r1_xboole_0(k7_subset_1(u1_struct_0(k15_euclid(2)), k6_topreal1(k2_jordan21(A)), k6_domain_1(u1_struct_0(k15_euclid(2)), k2_jordan21(A))), A)) ) ).
fof(t12_jordan, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => r1_tarski(k7_subset_1(u1_struct_0(k15_euclid(2)), k4_topreal1(k1_jordan21(A)), k6_domain_1(u1_struct_0(k15_euclid(2)), k1_jordan21(A))), k2_jordan2c(2, A))) ) ).
fof(t13_jordan, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => r1_tarski(k7_subset_1(u1_struct_0(k15_euclid(2)), k6_topreal1(k2_jordan21(A)), k6_domain_1(u1_struct_0(k15_euclid(2)), k2_jordan21(A))), k2_jordan2c(2, A))) ) ).
fof(t14_jordan, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (r1_jordan2c(2, B, A) => r1_xboole_0(k2_jordan2c(2, B), A)) ) ) ) ) ).
fof(t15_jordan, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (r2_jordan2c(2, B, A) => r1_xboole_0(k1_jordan2c(2, B), A)) ) ) ) ) ).
fof(t16_jordan, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_xreal_0(B) & v2_xxreal_0(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) => r2_tarski(C, k1_topreal9(A, C, B))) ) ) ) ) ) ).
fof(t17_jordan, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_xreal_0(B) &  ~ (v3_xxreal_0(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) => m1_subset_1(C, u1_struct_0(k2_brouwer(A, C, B)))) ) ) ) ) ) ).
fof(t18_jordan, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(C))) =>  (r1_xxreal_0(A, B) => r1_tarski(k1_topreal9(C, D, A), k1_topreal9(C, D, B))) ) ) ) ) ) ) ) ) ).
fof(t19_jordan, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(B))) => k7_subset_1(u1_struct_0(k15_euclid(B)), k2_topreal9(B, C, A), k1_topreal9(B, C, A))=k3_topreal9(B, C, A)) ) ) ) ) ) ).
fof(t20_jordan, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(B))) =>  (r2_tarski(D, k3_topreal9(B, C, A)) => r1_tarski(k7_subset_1(u1_struct_0(k15_euclid(B)), k1_rltopsp1(k15_euclid(B), C, D), k7_domain_1(u1_struct_0(k15_euclid(B)), C, D)), k1_topreal9(B, C, A))) ) ) ) ) ) ) ) ) ).
fof(t21_jordan, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(C))) =>  ( ~ (r1_xxreal_0(B, A))  => r1_tarski(k2_topreal9(C, D, A), k1_topreal9(C, D, B))) ) ) ) ) ) ) ) ) ).
fof(t22_jordan, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(C))) =>  ( ~ (r1_xxreal_0(B, A))  => r1_tarski(k3_topreal9(C, D, A), k1_topreal9(C, D, B))) ) ) ) ) ) ) ) ) ).
fof(t23_jordan, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & v1_xreal_0(C))  => k2_pre_topc(k15_euclid(A), k1_topreal9(A, B, C))=k2_topreal9(A, B, C)) ) ) ) ) ) ).
fof(t24_jordan, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & v1_xreal_0(C))  => k2_tops_1(k15_euclid(A), k1_topreal9(A, B, C))=k3_topreal9(A, B, C)) ) ) ) ) ) ).
fof(t25_jordan, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v4_pre_topc(B, k15_euclid(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  ~ ( ( ~ (r2_tarski(C, B))  &  (! [D] :  ( (v1_xreal_0(D) & v2_xxreal_0(D))  =>  ~ (r1_xboole_0(k1_topreal9(A, C, D), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_jordan, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v9_rltopsp1(B, k15_euclid(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (? [D] :  ( (v1_xreal_0(D) & v2_xxreal_0(D))  & r1_tarski(B, k1_topreal9(A, C, D))) ) ) ) ) ) ) ) ).
fof(t27_jordan, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (l1_pre_topc(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v3_tops_2(C, A, B) => v2_funct_2(C, u1_struct_0(B))) ) ) ) ) ) ) ).
fof(t28_jordan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_borsuk_2(D, A, B, C) =>  (r1_borsuk_6(A, B, C) => v2_connsp_1(k2_relset_1(u1_struct_0(A), D), A)) ) ) ) ) ) ) ) ) ).
fof(t29_jordan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m1_pre_topc(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_borsuk_2(G, A, C, D) =>  ( (C=E &  (D=F &  (r1_borsuk_6(A, C, D) & r1_tarski(k2_relset_1(u1_struct_0(A), G), u1_struct_0(B))) ) )  =>  (r1_borsuk_6(B, E, F) & m1_borsuk_2(G, B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_jordan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_borsuk_2(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m1_pre_topc(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_borsuk_2(G, A, C, D) =>  ( (C=E &  (D=F & r1_tarski(k2_relset_1(u1_struct_0(A), G), u1_struct_0(B))) )  =>  (r1_borsuk_6(B, E, F) & m1_borsuk_2(G, B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_jordan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_borsuk_2(D, A, B, C) =>  (r1_borsuk_6(A, B, C) => k2_relset_1(u1_struct_0(A), D)=k2_relset_1(u1_struct_0(A), k2_borsuk_2(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t32_jordan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_borsuk_2(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_borsuk_2(D, A, B, C) => k2_relset_1(u1_struct_0(A), D)=k2_relset_1(u1_struct_0(A), k2_borsuk_2(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t33_jordan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_borsuk_2(E, A, B, C) =>  (! [F] :  (m1_borsuk_2(F, A, C, D) =>  ( (r1_borsuk_6(A, B, C) & r1_borsuk_6(A, C, D))  => r1_tarski(k2_relset_1(u1_struct_0(A), E), k2_relset_1(u1_struct_0(A), k1_borsuk_2(A, B, C, D, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_jordan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_borsuk_2(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_borsuk_2(E, A, B, C) =>  (! [F] :  (m1_borsuk_2(F, A, C, D) => r1_tarski(k2_relset_1(u1_struct_0(A), E), k2_relset_1(u1_struct_0(A), k1_borsuk_2(A, B, C, D, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_jordan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_borsuk_2(E, A, C, D) =>  (! [F] :  (m1_borsuk_2(F, A, B, C) =>  ( (r1_borsuk_6(A, B, C) & r1_borsuk_6(A, C, D))  => r1_tarski(k2_relset_1(u1_struct_0(A), E), k2_relset_1(u1_struct_0(A), k1_borsuk_2(A, B, C, D, F, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_jordan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_borsuk_2(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_borsuk_2(E, A, C, D) =>  (! [F] :  (m1_borsuk_2(F, A, B, C) => r1_tarski(k2_relset_1(u1_struct_0(A), E), k2_relset_1(u1_struct_0(A), k1_borsuk_2(A, B, C, D, F, E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_jordan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_borsuk_2(E, A, B, C) =>  (! [F] :  (m1_borsuk_2(F, A, C, D) =>  ( (r1_borsuk_6(A, B, C) & r1_borsuk_6(A, C, D))  => k2_relset_1(u1_struct_0(A), k1_borsuk_2(A, B, C, D, E, F))=k4_subset_1(u1_struct_0(A), k2_relset_1(u1_struct_0(A), E), k2_relset_1(u1_struct_0(A), F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_jordan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_borsuk_2(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_borsuk_2(E, A, B, C) =>  (! [F] :  (m1_borsuk_2(F, A, C, D) => k2_relset_1(u1_struct_0(A), k1_borsuk_2(A, B, C, D, E, F))=k4_subset_1(u1_struct_0(A), k2_relset_1(u1_struct_0(A), E), k2_relset_1(u1_struct_0(A), F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_jordan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_borsuk_2(F, A, B, C) =>  (! [G] :  (m1_borsuk_2(G, A, C, D) =>  (! [H] :  (m1_borsuk_2(H, A, D, E) =>  ( (r1_borsuk_6(A, B, C) &  (r1_borsuk_6(A, C, D) & r1_borsuk_6(A, D, E)) )  => k2_relset_1(u1_struct_0(A), k1_borsuk_2(A, B, D, E, k1_borsuk_2(A, B, C, D, F, G), H))=k4_subset_1(u1_struct_0(A), k4_subset_1(u1_struct_0(A), k2_relset_1(u1_struct_0(A), F), k2_relset_1(u1_struct_0(A), G)), k2_relset_1(u1_struct_0(A), H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_jordan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_borsuk_2(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_borsuk_2(F, A, B, C) =>  (! [G] :  (m1_borsuk_2(G, A, C, D) =>  (! [H] :  (m1_borsuk_2(H, A, D, E) => k2_relset_1(u1_struct_0(A), k1_borsuk_2(A, B, D, E, k1_borsuk_2(A, B, C, D, F, G), H))=k4_subset_1(u1_struct_0(A), k4_subset_1(u1_struct_0(A), k2_relset_1(u1_struct_0(A), F), k2_relset_1(u1_struct_0(A), G)), k2_relset_1(u1_struct_0(A), H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_jordan, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => m1_borsuk_2(k6_struct_0(k5_topmetr, A, B), A, B, B)) ) ) ) ).
fof(t42_jordan, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  ~ ( (r1_topreal1(k15_euclid(A), B, C, D) &  (! [E] :  (m1_borsuk_2(E, k15_euclid(A), B, C) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(A), D))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(A), D)))))) )  =>  ~ ( (k2_relset_1(u1_struct_0(k1_pre_topc(k15_euclid(A), D)), F)=D & E=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_jordan, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (? [D] :  (m1_borsuk_2(D, k15_euclid(A), B, C) &  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(A), k1_rltopsp1(k15_euclid(A), B, C)))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(A), k1_rltopsp1(k15_euclid(A), B, C))))))) )  &  (k2_relset_1(u1_struct_0(k1_pre_topc(k15_euclid(A), k1_rltopsp1(k15_euclid(A), B, C))), E)=k1_rltopsp1(k15_euclid(A), B, C) & D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_jordan, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_topreal1(k15_euclid(2), B, C, A) &  (r2_tarski(D, A) &  (r2_tarski(E, A) &  ( ~ (D=B)  &  ( ~ (D=C)  &  ( ~ (E=B)  &  ( ~ (E=C)  &  (! [F] :  (m1_borsuk_2(F, k15_euclid(2), D, E) =>  ~ ( (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), F), A) & r1_subset_1(k2_relset_1(u1_struct_0(k15_euclid(2)), F), k7_domain_1(u1_struct_0(k15_euclid(2)), B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_jordan, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(A, B) & r1_xxreal_0(C, D))  => r1_tarski(k1_sppol_2(A, B, C, D), k2_jgraph_6(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t46_jordan, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => r1_tarski(k1_jgraph_6(A, B, C, D), k2_jgraph_6(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t47_jordan, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => k2_jgraph_6(A, B, C, D)=k3_subset_1(u1_struct_0(k15_euclid(2)), k3_jgraph_6(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t48_jordan, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => r1_xboole_0(k2_jgraph_6(A, B, C, D), k3_jgraph_6(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t49_jordan, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => k9_subset_1(u1_struct_0(k15_euclid(2)), k2_jgraph_6(A, B, C, D), k1_jgraph_6(A, B, C, D))=k1_jgraph_6(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t50_jordan, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  ( ~ (r1_xxreal_0(D, C))  &  ~ (k1_tops_1(k15_euclid(2), k2_jgraph_6(A, B, C, D))=k1_jgraph_6(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_jordan, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(A, B) & r1_xxreal_0(C, D))  => k7_subset_1(u1_struct_0(k15_euclid(2)), k2_jgraph_6(A, B, C, D), k1_jgraph_6(A, B, C, D))=k1_sppol_2(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t52_jordan, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  ( ~ (r1_xxreal_0(D, C))  &  ~ (k2_tops_1(k15_euclid(2), k2_jgraph_6(A, B, C, D))=k1_sppol_2(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_jordan, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(A, B) & r1_xxreal_0(C, D))  => k6_pscomp_1(k2_jgraph_6(A, B, C, D))=A) ) ) ) ) ) ) ) ) ).
fof(t54_jordan, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(A, B) & r1_xxreal_0(C, D))  => k9_pscomp_1(k2_jgraph_6(A, B, C, D))=C) ) ) ) ) ) ) ) ) ).
fof(t55_jordan, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(A, B) & r1_xxreal_0(C, D))  => k8_pscomp_1(k2_jgraph_6(A, B, C, D))=B) ) ) ) ) ) ) ) ) ).
fof(t56_jordan, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(A, B) & r1_xxreal_0(C, D))  => k7_pscomp_1(k2_jgraph_6(A, B, C, D))=D) ) ) ) ) ) ) ) ) ).
fof(t57_jordan, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (r2_tarski(E, k2_jgraph_6(A, B, C, D)) & r1_topreal1(k15_euclid(2), E, F, G))  =>  (r1_xxreal_0(B, A) |  (r1_xxreal_0(D, C) |  (r2_tarski(F, k2_jgraph_6(A, B, C, D)) | r1_tarski(k5_jordan6(G, E, F, E, k1_jordan5c(G, k1_sppol_2(A, B, C, D), E, F)), k2_jgraph_6(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_jordan, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), k1_numbers)))) )  =>  (B=k3_jordan(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2)))) => k3_funct_2(u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), k1_numbers, B, C)=k6_xcmplx_0(k17_euclid(k2_jordan(k15_euclid(2), k15_euclid(2), C)), k17_euclid(A))) ) ) ) ) ) ) ).
fof(d2_jordan, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), k1_numbers)))) )  =>  (B=k4_jordan(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2)))) => k3_funct_2(u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), k1_numbers, B, C)=k6_xcmplx_0(k18_euclid(k2_jordan(k15_euclid(2), k15_euclid(2), C)), k18_euclid(A))) ) ) ) ) ) ) ).
fof(d3_jordan, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), k1_numbers)))) )  =>  (A=k5_jordan <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2)))) => k3_funct_2(u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), k1_numbers, A, B)=k6_xcmplx_0(k17_euclid(k1_jordan(k15_euclid(2), k15_euclid(2), B)), k17_euclid(k2_jordan(k15_euclid(2), k15_euclid(2), B)))) ) ) ) ) ).
fof(d4_jordan, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), k1_numbers)))) )  =>  (A=k6_jordan <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2)))) => k3_funct_2(u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), k1_numbers, A, B)=k6_xcmplx_0(k18_euclid(k1_jordan(k15_euclid(2), k15_euclid(2), B)), k18_euclid(k2_jordan(k15_euclid(2), k15_euclid(2), B)))) ) ) ) ) ).
fof(d5_jordan, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), k1_numbers)))) )  =>  (A=k7_jordan <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2)))) => k3_funct_2(u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), k1_numbers, A, B)=k17_euclid(k2_jordan(k15_euclid(2), k15_euclid(2), B))) ) ) ) ) ).
fof(d6_jordan, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), k1_numbers)))) )  =>  (A=k8_jordan <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2)))) => k3_funct_2(u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), k1_numbers, A, B)=k18_euclid(k2_jordan(k15_euclid(2), k15_euclid(2), B))) ) ) ) ) ).
fof(t58_jordan, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (v1_funct_1(k3_jordan(A)) &  (v1_funct_2(k3_jordan(A), u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), u1_struct_0(k3_topmetr)) &  (v5_pre_topc(k3_jordan(A), k2_borsuk_1(k15_euclid(2), k15_euclid(2)), k3_topmetr) & m1_subset_1(k3_jordan(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), u1_struct_0(k3_topmetr))))) ) ) ) ) ).
fof(t59_jordan, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (v1_funct_1(k4_jordan(A)) &  (v1_funct_2(k4_jordan(A), u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), u1_struct_0(k3_topmetr)) &  (v5_pre_topc(k4_jordan(A), k2_borsuk_1(k15_euclid(2), k15_euclid(2)), k3_topmetr) & m1_subset_1(k4_jordan(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), u1_struct_0(k3_topmetr))))) ) ) ) ) ).
fof(t60_jordan, axiom,  (v1_funct_1(k5_jordan) &  (v1_funct_2(k5_jordan, u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), u1_struct_0(k3_topmetr)) &  (v5_pre_topc(k5_jordan, k2_borsuk_1(k15_euclid(2), k15_euclid(2)), k3_topmetr) & m1_subset_1(k5_jordan, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), u1_struct_0(k3_topmetr))))) ) ) ).
fof(t61_jordan, axiom,  (v1_funct_1(k6_jordan) &  (v1_funct_2(k6_jordan, u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), u1_struct_0(k3_topmetr)) &  (v5_pre_topc(k6_jordan, k2_borsuk_1(k15_euclid(2), k15_euclid(2)), k3_topmetr) & m1_subset_1(k6_jordan, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), u1_struct_0(k3_topmetr))))) ) ) ).
fof(t62_jordan, axiom,  (v1_funct_1(k7_jordan) &  (v1_funct_2(k7_jordan, u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), u1_struct_0(k3_topmetr)) &  (v5_pre_topc(k7_jordan, k2_borsuk_1(k15_euclid(2), k15_euclid(2)), k3_topmetr) & m1_subset_1(k7_jordan, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), u1_struct_0(k3_topmetr))))) ) ) ).
fof(t63_jordan, axiom,  (v1_funct_1(k8_jordan) &  (v1_funct_2(k8_jordan, u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), u1_struct_0(k3_topmetr)) &  (v5_pre_topc(k8_jordan, k2_borsuk_1(k15_euclid(2), k15_euclid(2)), k3_topmetr) & m1_subset_1(k8_jordan, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), u1_struct_0(k3_topmetr))))) ) ) ).
fof(d7_jordan, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  ( (v1_xreal_0(D) & v2_xxreal_0(D))  =>  (m1_subset_1(C, u1_struct_0(k2_brouwer(A, B, D))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k1_pre_topc(k15_euclid(A), k7_subset_1(u1_struct_0(k15_euclid(A)), k2_topreal9(A, B, D), k6_domain_1(u1_struct_0(k15_euclid(A)), C)))), u1_struct_0(k7_toprealb(A, B, D))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A), k7_subset_1(u1_struct_0(k15_euclid(A)), k2_topreal9(A, B, D), k6_domain_1(u1_struct_0(k15_euclid(A)), C)))), u1_struct_0(k7_toprealb(A, B, D)))))) )  =>  (E=k9_jordan(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(k1_pre_topc(k15_euclid(A), k7_subset_1(u1_struct_0(k15_euclid(A)), k2_topreal9(A, B, D), k6_domain_1(u1_struct_0(k15_euclid(A)), C))))) =>  (? [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(A))) &  (F=G & k3_funct_2(u1_struct_0(k1_pre_topc(k15_euclid(A), k7_subset_1(u1_struct_0(k15_euclid(A)), k2_topreal9(A, B, D), k6_domain_1(u1_struct_0(k15_euclid(A)), C)))), u1_struct_0(k7_toprealb(A, B, D)), E, F)=k3_brouwer(A, B, C, G, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_jordan, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( (v1_xreal_0(C) & v2_xxreal_0(C))  =>  (m1_subset_1(B, u1_struct_0(k2_brouwer(2, A, C))) => v5_pre_topc(k9_jordan(2, A, B, C), k1_pre_topc(k15_euclid(2), k7_subset_1(u1_struct_0(k15_euclid(2)), k2_topreal9(2, A, C), k6_domain_1(u1_struct_0(k15_euclid(2)), B))), k7_toprealb(2, A, C))) ) ) ) ) ) ) ).
fof(t65_jordan, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  ( (v1_xreal_0(D) & v2_xxreal_0(D))  =>  (r2_tarski(C, k1_topreal9(A, B, D)) => k2_partfun1(u1_struct_0(k1_pre_topc(k15_euclid(A), k7_subset_1(u1_struct_0(k15_euclid(A)), k2_topreal9(A, B, D), k6_domain_1(u1_struct_0(k15_euclid(A)), C)))), u1_struct_0(k7_toprealb(A, B, D)), k9_jordan(A, B, C, D), k3_topreal9(A, B, D))=k6_partfun1(k3_topreal9(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(d8_jordan, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  ( (v1_xreal_0(D) & v2_xxreal_0(D))  =>  (r2_tarski(C, k1_topreal9(A, B, D)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k7_toprealb(A, B, D)), u1_struct_0(k7_toprealb(A, B, D))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_toprealb(A, B, D)), u1_struct_0(k7_toprealb(A, B, D)))))) )  =>  (E=k10_jordan(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(k7_toprealb(A, B, D))) =>  (? [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(A))) &  (F=G & k3_funct_2(u1_struct_0(k7_toprealb(A, B, D)), u1_struct_0(k7_toprealb(A, B, D)), E, F)=k3_brouwer(A, B, G, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_jordan, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( (v1_xreal_0(C) & v2_xxreal_0(C))  =>  (r2_tarski(B, k1_topreal9(2, A, C)) => v5_pre_topc(k10_jordan(2, A, B, C), k7_toprealb(2, A, C), k7_toprealb(2, A, C))) ) ) ) ) ) ) ).
fof(t67_jordan, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  ( (v1_xreal_0(D) & v2_xxreal_0(D))  =>  ~ ( (r2_tarski(C, k1_topreal9(A, B, D)) & v2_abian(k10_jordan(A, B, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t68_jordan, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), A))))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), A))))) =>  ( (C=B &  (v3_connsp_1(C, k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), A))) & v3_connsp_1(D, k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), A)))) )  =>  (C=D | r1_xboole_0(k2_pre_topc(k15_euclid(2), B), D)) ) ) ) ) ) ) ) ) ) ).
fof(t69_jordan, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), A))))) =>  (v3_connsp_1(B, k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), A))) => v1_borsuk_2(k1_pre_topc(k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), A)), B))) ) ) ) ) ).
fof(t70_jordan, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m3_topgrp_1(B, k15_euclid(2)) => v1_topreal2(k7_relset_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), B, A))) ) ) ) ).
fof(t71_jordan, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (r1_jordan24(2, A, k19_euclid(k4_xcmplx_0(1), k5_numbers), k19_euclid(1, k5_numbers)) => r1_tarski(A, k2_jgraph_6(k4_xcmplx_0(1), 1, k4_xcmplx_0(3), 3))) ) ) ).
fof(t72_jordan, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (r1_jordan24(2, A, k19_euclid(k4_xcmplx_0(1), k5_numbers), k19_euclid(1, k5_numbers)) => r1_xboole_0(A, k1_rltopsp1(k15_euclid(2), k19_euclid(k4_xcmplx_0(1), 3), k19_euclid(1, 3)))) ) ) ).
fof(t73_jordan, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (r1_jordan24(2, A, k19_euclid(k4_xcmplx_0(1), k5_numbers), k19_euclid(1, k5_numbers)) => r1_xboole_0(A, k1_rltopsp1(k15_euclid(2), k19_euclid(k4_xcmplx_0(1), k4_xcmplx_0(3)), k19_euclid(1, k4_xcmplx_0(3))))) ) ) ).
fof(t74_jordan, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (r1_jordan24(2, A, k19_euclid(k4_xcmplx_0(1), k5_numbers), k19_euclid(1, k5_numbers)) => k9_subset_1(u1_struct_0(k15_euclid(2)), A, k1_sppol_2(k4_xcmplx_0(1), 1, k4_xcmplx_0(3), 3))=k7_domain_1(u1_struct_0(k15_euclid(2)), k19_euclid(k4_xcmplx_0(1), k5_numbers), k19_euclid(1, k5_numbers))) ) ) ).
fof(t75_jordan, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (r1_jordan24(2, A, k19_euclid(k4_xcmplx_0(1), k5_numbers), k19_euclid(1, k5_numbers)) => k6_pscomp_1(A)=k4_xcmplx_0(1)) ) ) ).
fof(t76_jordan, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (r1_jordan24(2, A, k19_euclid(k4_xcmplx_0(1), k5_numbers), k19_euclid(1, k5_numbers)) => k8_pscomp_1(A)=1) ) ) ).
fof(t77_jordan, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (r1_jordan24(2, A, k19_euclid(k4_xcmplx_0(1), k5_numbers), k19_euclid(1, k5_numbers)) => k14_pscomp_1(A)=k6_domain_1(u1_struct_0(k15_euclid(2)), k19_euclid(k4_xcmplx_0(1), k5_numbers))) ) ) ).
fof(t78_jordan, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (r1_jordan24(2, A, k19_euclid(k4_xcmplx_0(1), k5_numbers), k19_euclid(1, k5_numbers)) => k16_pscomp_1(A)=k6_domain_1(u1_struct_0(k15_euclid(2)), k19_euclid(1, k5_numbers))) ) ) ).
fof(t79_jordan, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (r1_jordan24(2, A, k19_euclid(k4_xcmplx_0(1), k5_numbers), k19_euclid(1, k5_numbers)) =>  (k18_pscomp_1(A)=k19_euclid(k4_xcmplx_0(1), k5_numbers) & k19_pscomp_1(A)=k19_euclid(k4_xcmplx_0(1), k5_numbers)) ) ) ) ).
fof(t80_jordan, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (r1_jordan24(2, A, k19_euclid(k4_xcmplx_0(1), k5_numbers), k19_euclid(1, k5_numbers)) =>  (k23_pscomp_1(A)=k19_euclid(1, k5_numbers) & k22_pscomp_1(A)=k19_euclid(1, k5_numbers)) ) ) ) ).
fof(t81_jordan, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (r1_jordan24(2, A, k19_euclid(k4_xcmplx_0(1), k5_numbers), k19_euclid(1, k5_numbers)) => v2_sppol_1(k1_rltopsp1(k15_euclid(2), k19_euclid(k5_numbers, 3), k1_jordan21(A)))) ) ) ).
fof(t82_jordan, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (r1_jordan24(2, A, k19_euclid(k4_xcmplx_0(1), k5_numbers), k19_euclid(1, k5_numbers)) => v2_sppol_1(k1_rltopsp1(k15_euclid(2), k2_jordan21(A), k19_euclid(k5_numbers, k4_xcmplx_0(3))))) ) ) ).
fof(t83_jordan, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( (r1_jordan24(2, B, k19_euclid(k4_xcmplx_0(1), k5_numbers), k19_euclid(1, k5_numbers)) &  (r2_tarski(A, B) & r1_xxreal_0(3, k18_euclid(A))) ) ) ) ) ) ) ).
fof(t84_jordan, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( (r1_jordan24(2, B, k19_euclid(k4_xcmplx_0(1), k5_numbers), k19_euclid(1, k5_numbers)) &  (r2_tarski(A, B) & r1_xxreal_0(k18_euclid(A), k4_xcmplx_0(3))) ) ) ) ) ) ) ).
fof(t85_jordan, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) &  (v1_jordan21(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ( (r1_jordan24(2, B, k19_euclid(k4_xcmplx_0(1), k5_numbers), k19_euclid(1, k5_numbers)) & r2_tarski(A, k1_rltopsp1(k15_euclid(2), k19_euclid(k5_numbers, 3), k1_jordan21(B))))  => r1_xxreal_0(k18_euclid(k1_jordan21(B)), k18_euclid(A))) ) ) ) ) ).
fof(t86_jordan, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) &  (v1_jordan21(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ( (r1_jordan24(2, B, k19_euclid(k4_xcmplx_0(1), k5_numbers), k19_euclid(1, k5_numbers)) & r2_tarski(A, k1_rltopsp1(k15_euclid(2), k2_jordan21(B), k19_euclid(k5_numbers, k4_xcmplx_0(3)))))  => r1_xxreal_0(k18_euclid(A), k18_euclid(k2_jordan21(B)))) ) ) ) ) ).
fof(t87_jordan, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  (v1_jordan21(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (r1_jordan24(2, A, k19_euclid(k4_xcmplx_0(1), k5_numbers), k19_euclid(1, k5_numbers)) => r1_tarski(k1_rltopsp1(k15_euclid(2), k19_euclid(k5_numbers, 3), k1_jordan21(A)), k4_topreal1(k1_jordan21(A)))) ) ) ).
fof(t88_jordan, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  (v1_jordan21(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (r1_jordan24(2, A, k19_euclid(k4_xcmplx_0(1), k5_numbers), k19_euclid(1, k5_numbers)) => r1_tarski(k1_rltopsp1(k15_euclid(2), k2_jordan21(A), k19_euclid(k5_numbers, k4_xcmplx_0(3))), k6_topreal1(k2_jordan21(A)))) ) ) ).
fof(t89_jordan, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (r1_jordan24(2, A, k19_euclid(k4_xcmplx_0(1), k5_numbers), k19_euclid(1, k5_numbers)) & r1_jordan2c(2, A, B))  => r1_xboole_0(k1_rltopsp1(k15_euclid(2), k19_euclid(k5_numbers, 3), k1_jordan21(A)), B)) ) ) ) ) ).
fof(t90_jordan, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (r1_jordan24(2, A, k19_euclid(k4_xcmplx_0(1), k5_numbers), k19_euclid(1, k5_numbers)) & r1_jordan2c(2, A, B))  => r1_xboole_0(k1_rltopsp1(k15_euclid(2), k2_jordan21(A), k19_euclid(k5_numbers, k4_xcmplx_0(3))), B)) ) ) ) ) ).
fof(t91_jordan, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  (v1_jordan21(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (r1_jordan24(2, A, k19_euclid(k4_xcmplx_0(1), k5_numbers), k19_euclid(1, k5_numbers)) => k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k19_euclid(k5_numbers, 3), k1_jordan21(A)), A)=k6_domain_1(u1_struct_0(k15_euclid(2)), k1_jordan21(A))) ) ) ).
fof(t92_jordan, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  (v1_jordan21(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (r1_jordan24(2, A, k19_euclid(k4_xcmplx_0(1), k5_numbers), k19_euclid(1, k5_numbers)) => k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k19_euclid(k5_numbers, k4_xcmplx_0(3)), k2_jordan21(A)), A)=k6_domain_1(u1_struct_0(k15_euclid(2)), k2_jordan21(A))) ) ) ).
fof(t93_jordan, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (v2_compts_1(B, k15_euclid(2)) &  (r1_jordan24(2, B, k19_euclid(k4_xcmplx_0(1), k5_numbers), k19_euclid(1, k5_numbers)) & r1_jordan2c(2, B, A)) )  => r1_tarski(A, k2_jgraph_6(k4_xcmplx_0(1), 1, k4_xcmplx_0(3), 3))) ) ) ) ) ).
fof(t94_jordan, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ ( (r1_jordan24(2, A, k19_euclid(k4_xcmplx_0(1), k5_numbers), k19_euclid(1, k5_numbers)) & r1_xboole_0(k1_rltopsp1(k15_euclid(2), k19_euclid(k5_numbers, 3), k19_euclid(k5_numbers, k4_xcmplx_0(3))), A)) ) ) ) ).
fof(t95_jordan, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (r1_jordan24(2, A, k19_euclid(k4_xcmplx_0(1), k5_numbers), k19_euclid(1, k5_numbers)) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) &  (v1_jordan21(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [C] :  ( (v2_compts_1(C, k15_euclid(2)) &  (v1_jordan21(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ( (r1_topreal1(k15_euclid(2), k19_euclid(k4_xcmplx_0(1), k5_numbers), k19_euclid(1, k5_numbers), B) &  (r1_topreal1(k15_euclid(2), k19_euclid(k4_xcmplx_0(1), k5_numbers), k19_euclid(1, k5_numbers), C) &  (A=k4_subset_1(u1_struct_0(k15_euclid(2)), B, C) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), B, C)=k7_domain_1(u1_struct_0(k15_euclid(2)), k19_euclid(k4_xcmplx_0(1), k5_numbers), k19_euclid(1, k5_numbers)) &  (r2_tarski(k1_jordan21(A), B) &  (r2_tarski(k2_jordan21(A), C) &  (k6_pscomp_1(A)=k6_pscomp_1(B) & k8_pscomp_1(A)=k8_pscomp_1(B)) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (D=k1_connsp_1(k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), A)), k2_connsp_3(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), A), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k1_jordan21(k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k2_jordan21(B), k19_euclid(k5_numbers, k4_xcmplx_0(3))), C)), k2_jordan21(B)), k7_xcmplx_0(1, 2)))) =>  (r1_jordan2c(2, A, D) &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (r1_jordan2c(2, A, E) => E=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t96_jordan, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (r1_jordan24(2, A, k19_euclid(k4_xcmplx_0(1), k5_numbers), k19_euclid(1, k5_numbers)) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) &  (v1_jordan21(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [C] :  ( (v2_compts_1(C, k15_euclid(2)) &  (v1_jordan21(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ( (r1_topreal1(k15_euclid(2), k19_euclid(k4_xcmplx_0(1), k5_numbers), k19_euclid(1, k5_numbers), B) &  (r1_topreal1(k15_euclid(2), k19_euclid(k4_xcmplx_0(1), k5_numbers), k19_euclid(1, k5_numbers), C) &  (A=k4_subset_1(u1_struct_0(k15_euclid(2)), B, C) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), B, C)=k7_domain_1(u1_struct_0(k15_euclid(2)), k19_euclid(k4_xcmplx_0(1), k5_numbers), k19_euclid(1, k5_numbers)) &  (r2_tarski(k1_jordan21(A), B) &  (r2_tarski(k2_jordan21(A), C) &  (k6_pscomp_1(A)=k6_pscomp_1(B) & k8_pscomp_1(A)=k8_pscomp_1(B)) ) ) ) ) ) )  => k1_jordan2c(2, A)=k1_connsp_1(k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), A)), k2_connsp_3(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), A), k1_rlvect_1(k15_euclid(2), k3_rlvect_1(k15_euclid(2), k1_jordan21(k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k2_jordan21(B), k19_euclid(k5_numbers, k4_xcmplx_0(3))), C)), k2_jordan21(B)), k7_xcmplx_0(1, 2))))) ) ) ) ) ) ) ) ).
fof(t97_jordan, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), A))))) =>  ( (C=B & v3_connsp_1(C, k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), A))))  => A=k2_tops_1(k15_euclid(2), B)) ) ) ) ) ) ) ).
fof(t98_jordan, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  (k3_subset_1(u1_struct_0(k15_euclid(2)), A)=k4_subset_1(u1_struct_0(k15_euclid(2)), B, C) &  (r1_xboole_0(B, C) &  (k7_subset_1(u1_struct_0(k15_euclid(2)), k2_pre_topc(k15_euclid(2), B), B)=k7_subset_1(u1_struct_0(k15_euclid(2)), k2_pre_topc(k15_euclid(2), C), C) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), A))))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), A))))) =>  ( (D=B & E=C)  =>  (v3_connsp_1(D, k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), A))) & v3_connsp_1(E, k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), A)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t99_jordan, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => v1_jordan1(A)) ) ).
fof(dt_k1_jordan, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  & m1_subset_1(C, u1_struct_0(k2_borsuk_1(A, B)))) )  => m1_subset_1(k1_jordan(A, B, C), u1_struct_0(A))) ) ).
fof(redefinition_k1_jordan, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  & m1_subset_1(C, u1_struct_0(k2_borsuk_1(A, B)))) )  => k1_jordan(A, B, C)=k1_xtuple_0(C)) ) ).
fof(dt_k2_jordan, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  & m1_subset_1(C, u1_struct_0(k2_borsuk_1(A, B)))) )  => m1_subset_1(k2_jordan(A, B, C), u1_struct_0(B))) ) ).
fof(redefinition_k2_jordan, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  & m1_subset_1(C, u1_struct_0(k2_borsuk_1(A, B)))) )  => k2_jordan(A, B, C)=k2_xtuple_0(C)) ) ).
fof(dt_k3_jordan, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (v1_funct_1(k3_jordan(A)) &  (v1_funct_2(k3_jordan(A), u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), k1_numbers) & m1_subset_1(k3_jordan(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), k1_numbers)))) ) ) ) ).
fof(dt_k4_jordan, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (v1_funct_1(k4_jordan(A)) &  (v1_funct_2(k4_jordan(A), u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), k1_numbers) & m1_subset_1(k4_jordan(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), k1_numbers)))) ) ) ) ).
fof(dt_k5_jordan, axiom,  (v1_funct_1(k5_jordan) &  (v1_funct_2(k5_jordan, u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), k1_numbers) & m1_subset_1(k5_jordan, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), k1_numbers)))) ) ).
fof(dt_k6_jordan, axiom,  (v1_funct_1(k6_jordan) &  (v1_funct_2(k6_jordan, u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), k1_numbers) & m1_subset_1(k6_jordan, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), k1_numbers)))) ) ).
fof(dt_k7_jordan, axiom,  (v1_funct_1(k7_jordan) &  (v1_funct_2(k7_jordan, u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), k1_numbers) & m1_subset_1(k7_jordan, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), k1_numbers)))) ) ).
fof(dt_k8_jordan, axiom,  (v1_funct_1(k8_jordan) &  (v1_funct_2(k8_jordan, u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), k1_numbers) & m1_subset_1(k8_jordan, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))), k1_numbers)))) ) ).
fof(dt_k9_jordan, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  &  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) &  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) &  (v1_xreal_0(D) & v2_xxreal_0(D)) ) ) )  =>  (v1_funct_1(k9_jordan(A, B, C, D)) &  (v1_funct_2(k9_jordan(A, B, C, D), u1_struct_0(k1_pre_topc(k15_euclid(A), k7_subset_1(u1_struct_0(k15_euclid(A)), k2_topreal9(A, B, D), k6_domain_1(u1_struct_0(k15_euclid(A)), C)))), u1_struct_0(k7_toprealb(A, B, D))) & m1_subset_1(k9_jordan(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A), k7_subset_1(u1_struct_0(k15_euclid(A)), k2_topreal9(A, B, D), k6_domain_1(u1_struct_0(k15_euclid(A)), C)))), u1_struct_0(k7_toprealb(A, B, D)))))) ) ) ) ).
fof(dt_k10_jordan, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  &  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) &  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) &  (v1_xreal_0(D) & v2_xxreal_0(D)) ) ) )  =>  (v1_funct_1(k10_jordan(A, B, C, D)) &  (v1_funct_2(k10_jordan(A, B, C, D), u1_struct_0(k7_toprealb(A, B, D)), u1_struct_0(k7_toprealb(A, B, D))) & m1_subset_1(k10_jordan(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_toprealb(A, B, D)), u1_struct_0(k7_toprealb(A, B, D)))))) ) ) ) ).
fof(cc1_jordan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (v1_convex1(B, k15_euclid(A)) => v2_connsp_1(B, k15_euclid(A))) ) ) ) ) ).
fof(fc1_jordan1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => v1_convex1(k4_topreal1(A), k15_euclid(2))) ) ).
fof(fc2_jordan1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => v1_convex1(k5_topreal1(A), k15_euclid(2))) ) ).
fof(fc3_jordan1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => v1_convex1(k6_topreal1(A), k15_euclid(2))) ) ).
fof(fc4_jordan1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => v1_convex1(k7_topreal1(A), k15_euclid(2))) ) ).
fof(t1_jordan1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k17_borsuk_1), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_borsuk_1), u1_struct_0(A))))) )  &  (v5_pre_topc(D, k17_borsuk_1, A) &  (B=k1_funct_1(D, k5_numbers) & C=k1_funct_1(D, 1)) ) ) ) ) ) ) )  => v1_connsp_1(A)) ) ) ).
fof(t2_jordan1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(C, B) &  (r2_tarski(D, B) &  ( ~ (C=D)  &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k17_borsuk_1), u1_struct_0(k1_pre_topc(A, B))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_borsuk_1), u1_struct_0(k1_pre_topc(A, B)))))) )  =>  ~ ( (v5_pre_topc(E, k17_borsuk_1, k1_pre_topc(A, B)) &  (C=k1_funct_1(E, k5_numbers) & D=k1_funct_1(E, 1)) ) ) ) ) ) ) ) ) ) ) ) )  => v2_connsp_1(B, A)) ) ) ) ) ).
fof(t3_jordan1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v2_connsp_1(B, A) & v2_connsp_1(C, A))  =>  (r1_xboole_0(B, C) | v2_connsp_1(k4_subset_1(u1_struct_0(A), B, C), A)) ) ) ) ) ) ) ) ).
fof(t4_jordan1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v2_connsp_1(B, A) &  (v2_connsp_1(C, A) & v2_connsp_1(D, A)) )  =>  (r1_xboole_0(B, C) |  (r1_xboole_0(C, D) | v2_connsp_1(k4_subset_1(u1_struct_0(A), k4_subset_1(u1_struct_0(A), B, C), D), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_jordan1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v2_connsp_1(B, A) &  (v2_connsp_1(C, A) &  (v2_connsp_1(D, A) & v2_connsp_1(E, A)) ) )  =>  (r1_xboole_0(B, C) |  (r1_xboole_0(C, D) |  (r1_xboole_0(D, E) | v2_connsp_1(k4_subset_1(u1_struct_0(A), k4_subset_1(u1_struct_0(A), k4_subset_1(u1_struct_0(A), B, C), D), E), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_jordan1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_convex1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r1_tarski(k1_rltopsp1(A, C, D), B)) ) ) ) ) ) ) ) ) ) ).
fof(d2_jordan1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (v1_jordan1(A) <=>  ( ~ (k3_subset_1(u1_struct_0(k15_euclid(2)), A)=k1_xboole_0)  &  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  (k3_subset_1(u1_struct_0(k15_euclid(2)), A)=k4_subset_1(u1_struct_0(k15_euclid(2)), B, C) &  (r1_xboole_0(B, C) &  (k7_subset_1(u1_struct_0(k15_euclid(2)), k2_pre_topc(k15_euclid(2), B), B)=k7_subset_1(u1_struct_0(k15_euclid(2)), k2_pre_topc(k15_euclid(2), C), C) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), A))))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), A))))) =>  ( (D=B & E=C)  =>  (v3_connsp_1(D, k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), A))) & v3_connsp_1(E, k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), A)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_jordan1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (v1_jordan1(A) =>  ( ~ (k3_subset_1(u1_struct_0(k15_euclid(2)), A)=k1_xboole_0)  &  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), A))))) &  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), A))))) &  (k3_subset_1(u1_struct_0(k15_euclid(2)), A)=k4_subset_1(u1_struct_0(k15_euclid(2)), B, C) &  (r1_xboole_0(B, C) &  (k7_subset_1(u1_struct_0(k15_euclid(2)), k2_pre_topc(k15_euclid(2), B), B)=k7_subset_1(u1_struct_0(k15_euclid(2)), k2_pre_topc(k15_euclid(2), C), C) &  (D=B &  (E=C &  (v3_connsp_1(D, k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), A))) &  (v3_connsp_1(E, k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), A))) &  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), A))))) =>  ~ ( (v3_connsp_1(F, k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), A))) &  ( ~ (F=D)  &  ~ (F=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_jordan1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => v1_convex1(k7_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), A, B), k2_tarski(A, B)), k15_euclid(2))) ) ) ) ).
fof(t7_jordan1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => a_4_0_jordan1(A, B, C, D)=k3_xboole_0(k3_xboole_0(k3_xboole_0(a_1_0_jordan1(A), a_1_1_jordan1(C)), a_1_2_jordan1(B)), a_1_3_jordan1(D))) ) ) ) ) ) ) ) ).
fof(t8_jordan1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => a_4_1_jordan1(A, B, C, D)=k2_xboole_0(k2_xboole_0(k2_xboole_0(a_1_1_jordan1(A), a_1_3_jordan1(B)), a_1_0_jordan1(C)), a_1_2_jordan1(D))) ) ) ) ) ) ) ) ).
fof(t9_jordan1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (E=a_4_0_jordan1(A, B, C, D) => v1_convex1(E, k15_euclid(2))) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_jordan1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (B=a_1_0_jordan1(A) => v1_convex1(B, k15_euclid(2))) ) ) ) ) ).
fof(t13_jordan1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (B=a_1_1_jordan1(A) => v1_convex1(B, k15_euclid(2))) ) ) ) ) ).
fof(t15_jordan1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (B=a_1_2_jordan1(A) => v1_convex1(B, k15_euclid(2))) ) ) ) ) ).
fof(t17_jordan1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (B=a_1_3_jordan1(A) => v1_convex1(B, k15_euclid(2))) ) ) ) ) ).
fof(t19_jordan1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (E=a_4_1_jordan1(A, B, C, D) => v2_connsp_1(E, k15_euclid(2))) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_jordan1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v3_pre_topc(a_1_0_jordan1(A), k15_euclid(2)) & m1_subset_1(a_1_0_jordan1(A), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) ).
fof(t21_jordan1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v3_pre_topc(a_1_1_jordan1(A), k15_euclid(2)) & m1_subset_1(a_1_1_jordan1(A), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) ).
fof(t22_jordan1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v3_pre_topc(a_1_2_jordan1(A), k15_euclid(2)) & m1_subset_1(a_1_2_jordan1(A), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) ).
fof(t23_jordan1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v3_pre_topc(a_1_3_jordan1(A), k15_euclid(2)) & m1_subset_1(a_1_3_jordan1(A), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) ).
fof(t24_jordan1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (v3_pre_topc(a_4_0_jordan1(A, B, C, D), k15_euclid(2)) & m1_subset_1(a_4_0_jordan1(A, B, C, D), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) ) ) ) ) ) ) ).
fof(t25_jordan1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (v3_pre_topc(a_4_1_jordan1(A, B, C, D), k15_euclid(2)) & m1_subset_1(a_4_1_jordan1(A, B, C, D), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) ) ) ) ) ) ) ).
fof(t26_jordan1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (E=a_4_0_jordan1(A, B, C, D) & F=a_4_1_jordan1(A, B, C, D))  => r1_xboole_0(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_jordan1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => a_4_2_jordan1(A, B, C, D)=a_4_3_jordan1(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t28_jordan1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => a_4_4_jordan1(A, B, C, D)=a_4_5_jordan1(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t29_jordan1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => m1_subset_1(a_4_2_jordan1(A, B, C, D), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) ) ) ) ) ) ).
fof(t30_jordan1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => m1_subset_1(a_4_4_jordan1(A, B, C, D), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) ) ) ) ) ) ).
fof(t31_jordan1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (E=a_4_6_jordan1(A, B, C, D) => v1_convex1(E, k15_euclid(2))) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_jordan1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (E=a_4_7_jordan1(A, B, C, D) => v2_connsp_1(E, k15_euclid(2))) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_jordan1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (E=a_4_6_jordan1(A, B, C, D) => v3_pre_topc(E, k15_euclid(2))) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_jordan1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (E=a_4_7_jordan1(A, B, C, D) => v3_pre_topc(E, k15_euclid(2))) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_jordan1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (E=a_4_6_jordan1(A, B, C, D) & F=a_4_7_jordan1(A, B, C, D))  => r1_xboole_0(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_jordan1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (E=a_4_8_jordan1(A, B, C, D) &  (F=a_4_6_jordan1(A, B, C, D) & G=a_4_7_jordan1(A, B, C, D)) )  =>  (r1_xxreal_0(C, A) |  (r1_xxreal_0(D, B) |  (k3_subset_1(u1_struct_0(k15_euclid(2)), E)=k4_subset_1(u1_struct_0(k15_euclid(2)), F, G) &  ( ~ (k3_subset_1(u1_struct_0(k15_euclid(2)), E)=k1_xboole_0)  &  (r1_xboole_0(F, G) &  (! [H] :  (m1_subset_1(H, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), E))))) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), E))))) =>  ( (H=F & I=G)  =>  (v3_connsp_1(H, k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), E))) & v3_connsp_1(I, k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_jordan1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (E=a_4_8_jordan1(A, B, C, D) &  (F=a_4_6_jordan1(A, B, C, D) & G=a_4_7_jordan1(A, B, C, D)) )  =>  (r1_xxreal_0(C, A) |  (r1_xxreal_0(D, B) |  (E=k7_subset_1(u1_struct_0(k15_euclid(2)), k2_pre_topc(k15_euclid(2), F), F) & E=k7_subset_1(u1_struct_0(k15_euclid(2)), k2_pre_topc(k15_euclid(2), G), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_jordan1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (E=a_4_9_jordan1(A, B, C, D) & F=a_4_2_jordan1(A, B, C, D))  => r1_tarski(F, k2_struct_0(k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), E))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_jordan1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (E=a_4_9_jordan1(A, B, C, D) & F=a_4_2_jordan1(A, B, C, D))  => m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), E)))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_jordan1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (E=a_4_9_jordan1(A, B, C, D) & F=a_4_4_jordan1(A, B, C, D))  =>  (r1_xxreal_0(B, A) |  (r1_xxreal_0(D, C) | r1_tarski(F, k2_struct_0(k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_jordan1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (E=a_4_9_jordan1(A, B, C, D) & F=a_4_4_jordan1(A, B, C, D))  =>  (r1_xxreal_0(B, A) |  (r1_xxreal_0(D, C) | m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), E)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_jordan1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (E=a_4_9_jordan1(A, B, C, D) =>  (r1_xxreal_0(B, A) |  (r1_xxreal_0(D, C) | v1_jordan1(E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_jordan1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (E=a_4_8_jordan1(A, B, C, D) & F=a_4_7_jordan1(A, B, C, D))  =>  (r1_xxreal_0(C, A) |  (r1_xxreal_0(D, B) | k2_pre_topc(k15_euclid(2), F)=k4_subset_1(u1_struct_0(k15_euclid(2)), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_jordan1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (E=a_4_8_jordan1(A, B, C, D) & F=a_4_6_jordan1(A, B, C, D))  =>  (r1_xxreal_0(C, A) |  (r1_xxreal_0(D, B) | k2_pre_topc(k15_euclid(2), F)=k4_subset_1(u1_struct_0(k15_euclid(2)), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_jordan1, axiom,  (! [A, B, C, D, E] :  ( (v1_xreal_0(B) &  (v1_xreal_0(C) &  (v1_xreal_0(D) & v1_xreal_0(E)) ) )  =>  (r2_hidden(A, a_4_0_jordan1(B, C, D, E)) <=>  (? [F, G] :  ( (v1_xreal_0(F) & v1_xreal_0(G))  &  (A=k19_euclid(F, G) &  ( ~ (r1_xxreal_0(F, B))  &  ( ~ (r1_xxreal_0(D, F))  &  ( ~ (r1_xxreal_0(G, C))  &  ~ (r1_xxreal_0(E, G)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_jordan1, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_0_jordan1(B)) <=>  (? [C, D] :  ( (v1_xreal_0(C) & v1_xreal_0(D))  &  (A=k19_euclid(C, D) &  ~ (r1_xxreal_0(C, B)) ) ) ) ) ) ) ).
fof(fraenkel_a_1_1_jordan1, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_1_jordan1(B)) <=>  (? [C, D] :  ( (v1_xreal_0(C) & v1_xreal_0(D))  &  (A=k19_euclid(C, D) &  ~ (r1_xxreal_0(B, C)) ) ) ) ) ) ) ).
fof(fraenkel_a_1_2_jordan1, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_2_jordan1(B)) <=>  (? [C, D] :  ( (v1_xreal_0(C) & v1_xreal_0(D))  &  (A=k19_euclid(C, D) &  ~ (r1_xxreal_0(D, B)) ) ) ) ) ) ) ).
fof(fraenkel_a_1_3_jordan1, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_3_jordan1(B)) <=>  (? [C, D] :  ( (v1_xreal_0(C) & v1_xreal_0(D))  &  (A=k19_euclid(C, D) &  ~ (r1_xxreal_0(B, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_4_1_jordan1, axiom,  (! [A, B, C, D, E] :  ( (v1_xreal_0(B) &  (v1_xreal_0(C) &  (v1_xreal_0(D) & v1_xreal_0(E)) ) )  =>  (r2_hidden(A, a_4_1_jordan1(B, C, D, E)) <=>  (? [F, G] :  ( (v1_xreal_0(F) & v1_xreal_0(G))  &  (A=k19_euclid(F, G) &  ~ ( (r1_xxreal_0(B, F) &  (r1_xxreal_0(F, D) &  (r1_xxreal_0(C, G) & r1_xxreal_0(G, E)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_2_jordan1, axiom,  (! [A, B, C, D, E] :  ( (v1_xreal_0(B) &  (v1_xreal_0(C) &  (v1_xreal_0(D) & v1_xreal_0(E)) ) )  =>  (r2_hidden(A, a_4_2_jordan1(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) &  (A=F &  ( ~ (r1_xxreal_0(k17_euclid(F), B))  &  ( ~ (r1_xxreal_0(C, k17_euclid(F)))  &  ( ~ (r1_xxreal_0(k18_euclid(F), D))  &  ~ (r1_xxreal_0(E, k18_euclid(F))) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_3_jordan1, axiom,  (! [A, B, C, D, E] :  ( (v1_xreal_0(B) &  (v1_xreal_0(C) &  (v1_xreal_0(D) & v1_xreal_0(E)) ) )  =>  (r2_hidden(A, a_4_3_jordan1(B, C, D, E)) <=>  (? [F, G] :  ( (v1_xreal_0(F) & v1_xreal_0(G))  &  (A=k19_euclid(F, G) &  ( ~ (r1_xxreal_0(F, B))  &  ( ~ (r1_xxreal_0(C, F))  &  ( ~ (r1_xxreal_0(G, D))  &  ~ (r1_xxreal_0(E, G)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_4_jordan1, axiom,  (! [A, B, C, D, E] :  ( (v1_xreal_0(B) &  (v1_xreal_0(C) &  (v1_xreal_0(D) & v1_xreal_0(E)) ) )  =>  (r2_hidden(A, a_4_4_jordan1(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) &  (A=F &  ~ ( (r1_xxreal_0(B, k17_euclid(F)) &  (r1_xxreal_0(k17_euclid(F), C) &  (r1_xxreal_0(D, k18_euclid(F)) & r1_xxreal_0(k18_euclid(F), E)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_5_jordan1, axiom,  (! [A, B, C, D, E] :  ( (v1_xreal_0(B) &  (v1_xreal_0(C) &  (v1_xreal_0(D) & v1_xreal_0(E)) ) )  =>  (r2_hidden(A, a_4_5_jordan1(B, C, D, E)) <=>  (? [F, G] :  ( (v1_xreal_0(F) & v1_xreal_0(G))  &  (A=k19_euclid(F, G) &  ~ ( (r1_xxreal_0(B, F) &  (r1_xxreal_0(F, C) &  (r1_xxreal_0(D, G) & r1_xxreal_0(G, E)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_6_jordan1, axiom,  (! [A, B, C, D, E] :  ( (v1_xreal_0(B) &  (v1_xreal_0(C) &  (v1_xreal_0(D) & v1_xreal_0(E)) ) )  =>  (r2_hidden(A, a_4_6_jordan1(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) &  (A=F &  ( ~ (r1_xxreal_0(k17_euclid(F), B))  &  ( ~ (r1_xxreal_0(D, k17_euclid(F)))  &  ( ~ (r1_xxreal_0(k18_euclid(F), C))  &  ~ (r1_xxreal_0(E, k18_euclid(F))) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_7_jordan1, axiom,  (! [A, B, C, D, E] :  ( (v1_xreal_0(B) &  (v1_xreal_0(C) &  (v1_xreal_0(D) & v1_xreal_0(E)) ) )  =>  (r2_hidden(A, a_4_7_jordan1(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) &  (A=F &  ~ ( (r1_xxreal_0(B, k17_euclid(F)) &  (r1_xxreal_0(k17_euclid(F), D) &  (r1_xxreal_0(C, k18_euclid(F)) & r1_xxreal_0(k18_euclid(F), E)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_8_jordan1, axiom,  (! [A, B, C, D, E] :  ( (v1_xreal_0(B) &  (v1_xreal_0(C) &  (v1_xreal_0(D) & v1_xreal_0(E)) ) )  =>  (r2_hidden(A, a_4_8_jordan1(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) &  (A=F &  ~ ( ( ~ ( (k17_euclid(F)=B &  (r1_xxreal_0(k18_euclid(F), E) & r1_xxreal_0(C, k18_euclid(F))) ) )  &  ( ~ ( (r1_xxreal_0(k17_euclid(F), D) &  (r1_xxreal_0(B, k17_euclid(F)) & k18_euclid(F)=E) ) )  &  ( ~ ( (r1_xxreal_0(k17_euclid(F), D) &  (r1_xxreal_0(B, k17_euclid(F)) & k18_euclid(F)=C) ) )  &  ~ ( (k17_euclid(F)=D &  (r1_xxreal_0(k18_euclid(F), E) & r1_xxreal_0(C, k18_euclid(F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_9_jordan1, axiom,  (! [A, B, C, D, E] :  ( (v1_xreal_0(B) &  (v1_xreal_0(C) &  (v1_xreal_0(D) & v1_xreal_0(E)) ) )  =>  (r2_hidden(A, a_4_9_jordan1(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) &  (A=F &  ~ ( ( ~ ( (k17_euclid(F)=B &  (r1_xxreal_0(k18_euclid(F), E) & r1_xxreal_0(D, k18_euclid(F))) ) )  &  ( ~ ( (r1_xxreal_0(k17_euclid(F), C) &  (r1_xxreal_0(B, k17_euclid(F)) & k18_euclid(F)=E) ) )  &  ( ~ ( (r1_xxreal_0(k17_euclid(F), C) &  (r1_xxreal_0(B, k17_euclid(F)) & k18_euclid(F)=D) ) )  &  ~ ( (k17_euclid(F)=C &  (r1_xxreal_0(k18_euclid(F), E) & r1_xxreal_0(D, k18_euclid(F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_jordan10, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  (v4_funct_1(A) &  (v2_connsp_1(A, k15_euclid(2)) &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ~ (v2_sppol_1(A)) ) ) ) ) ) ) ).
fof(fc1_jordan10, axiom,  (! [A, B] :  ( ( (v2_connsp_1(A, k15_euclid(2)) &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  & v7_ordinal1(B))  => v2_compts_1(k2_pre_topc(k15_euclid(2), k3_goboard9(k1_jordan9(A, B))), k15_euclid(2))) ) ).
fof(fc2_jordan10, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  ~ (v1_xboole_0(k1_jordan10(A))) ) ) ).
fof(fc3_jordan10, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  ~ (v1_xboole_0(k2_jordan10(A))) ) ) ).
fof(t1_jordan10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v2_connsp_1(E, k15_euclid(2)) &  (v2_compts_1(E, k15_euclid(2)) &  ( ~ (v1_sppol_1(E))  &  ( ~ (v2_sppol_1(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(k1_jordan9(E, D))) &  (r2_hidden(k4_tarski(A, B), k2_matrix_0(k1_jordan8(E, D))) &  (r2_hidden(k4_tarski(A, k1_nat_1(B, 1)), k2_matrix_0(k1_jordan8(E, D))) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), k1_jordan9(E, D), C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(E, D), A, B) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), k1_jordan9(E, D), k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(E, D), A, k1_nat_1(B, 1)) & r1_xxreal_0(k3_finseq_1(k1_jordan8(E, D)), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_jordan10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v2_connsp_1(E, k15_euclid(2)) &  (v2_compts_1(E, k15_euclid(2)) &  ( ~ (v1_sppol_1(E))  &  ( ~ (v2_sppol_1(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(k1_jordan9(E, D))) &  (r2_hidden(k4_tarski(A, B), k2_matrix_0(k1_jordan8(E, D))) &  (r2_hidden(k4_tarski(A, k1_nat_1(B, 1)), k2_matrix_0(k1_jordan8(E, D))) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), k1_jordan9(E, D), C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(E, D), A, k1_nat_1(B, 1)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), k1_jordan9(E, D), k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(E, D), A, B) & r1_xxreal_0(A, 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_jordan10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v2_connsp_1(E, k15_euclid(2)) &  (v2_compts_1(E, k15_euclid(2)) &  ( ~ (v1_sppol_1(E))  &  ( ~ (v2_sppol_1(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(k1_jordan9(E, D))) &  (r2_hidden(k4_tarski(A, B), k2_matrix_0(k1_jordan8(E, D))) &  (r2_hidden(k4_tarski(k1_nat_1(A, 1), B), k2_matrix_0(k1_jordan8(E, D))) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), k1_jordan9(E, D), C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(E, D), A, B) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), k1_jordan9(E, D), k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(E, D), k1_nat_1(A, 1), B) & r1_xxreal_0(B, 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_jordan10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v2_connsp_1(E, k15_euclid(2)) &  (v2_compts_1(E, k15_euclid(2)) &  ( ~ (v1_sppol_1(E))  &  ( ~ (v2_sppol_1(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(k1_jordan9(E, D))) &  (r2_hidden(k4_tarski(A, B), k2_matrix_0(k1_jordan8(E, D))) &  (r2_hidden(k4_tarski(k1_nat_1(A, 1), B), k2_matrix_0(k1_jordan8(E, D))) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), k1_jordan9(E, D), C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(E, D), k1_nat_1(A, 1), B) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), k1_jordan9(E, D), k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(E, D), A, B) & r1_xxreal_0(k1_matrix_0(k1_jordan8(E, D)), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_jordan10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  => r1_subset_1(B, k3_topreal1(2, k1_jordan9(B, A)))) ) ) ) ).
fof(t6_jordan10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  => k7_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))=k2_xcmplx_0(k7_pscomp_1(B), k7_xcmplx_0(k6_xcmplx_0(k7_pscomp_1(B), k9_pscomp_1(B)), k1_newton(2, A)))) ) ) ) ).
fof(t7_jordan10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v2_connsp_1(C, k15_euclid(2)) &  (v2_compts_1(C, k15_euclid(2)) &  ( ~ (v1_sppol_1(C))  &  ( ~ (v2_sppol_1(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  ~ ( ( ~ (r1_xxreal_0(B, A))  & r1_xxreal_0(k7_pscomp_1(k3_topreal1(2, k1_jordan9(C, A))), k7_pscomp_1(k3_topreal1(2, k1_jordan9(C, B))))) ) ) ) ) ) ) ) ).
fof(t8_jordan10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  => r2_tarski(k20_pscomp_1(B), k3_goboard9(k1_jordan9(B, A)))) ) ) ) ).
fof(t9_jordan10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  ~ (r2_subset_1(B, k3_goboard9(k1_jordan9(B, A)))) ) ) ) ) ).
fof(t10_jordan10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  => r1_subset_1(B, k2_goboard9(k1_jordan9(B, A)))) ) ) ) ).
fof(t11_jordan10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  => r1_tarski(B, k3_goboard9(k1_jordan9(B, A)))) ) ) ) ).
fof(t12_jordan10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  => r1_tarski(B, k1_jordan2c(2, k3_topreal1(2, k1_jordan9(B, A))))) ) ) ) ).
fof(t13_jordan10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  => r1_tarski(k2_jordan2c(2, k3_topreal1(2, k1_jordan9(B, A))), k2_jordan2c(2, B))) ) ) ) ).
fof(t14_jordan10, axiom,  (! [A] :  ( (v2_connsp_1(A, k15_euclid(2)) &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  => k5_setfam_1(u1_struct_0(k15_euclid(2)), k3_jordan10(A))=k2_jordan2c(2, A)) ) ).
fof(t15_jordan10, axiom,  (! [A] :  ( (v2_connsp_1(A, k15_euclid(2)) &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  => r1_tarski(A, k6_setfam_1(u1_struct_0(k15_euclid(2)), k4_jordan10(A)))) ) ).
fof(t16_jordan10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  => r1_xboole_0(k1_jordan2c(2, B), k2_goboard9(k1_jordan9(B, A)))) ) ) ) ).
fof(t17_jordan10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  => r1_tarski(k1_jordan2c(2, B), k3_goboard9(k1_jordan9(B, A)))) ) ) ) ).
fof(t18_jordan10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  ( (v2_connsp_1(C, k15_euclid(2)) &  (v2_compts_1(C, k15_euclid(2)) &  ( ~ (v1_sppol_1(C))  &  ( ~ (v2_sppol_1(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (r1_jordan2c(2, C, B) => r1_xboole_0(B, k3_topreal1(2, k1_jordan9(C, A)))) ) ) ) ) ) ) ).
fof(t19_jordan10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  => r1_xboole_0(k1_jordan2c(2, B), k3_topreal1(2, k1_jordan9(B, A)))) ) ) ) ).
fof(t20_jordan10, axiom,  (! [A] :  ( (v2_connsp_1(A, k15_euclid(2)) &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  => k7_setfam_1(u1_struct_0(k15_euclid(2)), k3_jordan10(A))=k4_jordan10(A)) ) ).
fof(t21_jordan10, axiom,  (! [A] :  ( (v2_connsp_1(A, k15_euclid(2)) &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  => k6_setfam_1(u1_struct_0(k15_euclid(2)), k4_jordan10(A))=k4_subset_1(u1_struct_0(k15_euclid(2)), A, k1_jordan2c(2, A))) ) ).
fof(dt_k3_jordan10, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  => m1_subset_1(k3_jordan10(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))) ) ).
fof(redefinition_k3_jordan10, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  => k3_jordan10(A)=k1_jordan10(A)) ) ).
fof(dt_k4_jordan10, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  => m1_subset_1(k4_jordan10(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))) ) ).
fof(redefinition_k4_jordan10, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  => k4_jordan10(A)=k2_jordan10(A)) ) ).
fof(d1_jordan10, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  => k1_jordan10(A)=a_1_0_jordan10(A)) ) ).
fof(d2_jordan10, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  => k2_jordan10(A)=a_1_1_jordan10(A)) ) ).
fof(fraenkel_a_1_0_jordan10, axiom,  (! [A, B] :  ( (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (r2_hidden(A, a_1_0_jordan10(B)) <=>  (? [C] :  (v7_ordinal1(C) & A=k2_jordan2c(2, k3_topreal1(2, k1_jordan9(B, C)))) ) ) ) ) ).
fof(fraenkel_a_1_1_jordan10, axiom,  (! [A, B] :  ( (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (r2_hidden(A, a_1_1_jordan10(B)) <=>  (? [C] :  (v7_ordinal1(C) & A=k2_pre_topc(k15_euclid(2), k1_jordan2c(2, k3_topreal1(2, k1_jordan9(B, C))))) ) ) ) ) ).
fof(d1_jordan11, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (B=k1_jordan11(A) <=>  (r1_jordan1h(A, B) &  (! [C] :  (v7_ordinal1(C) =>  (r1_jordan1h(A, C) => r1_xxreal_0(B, C)) ) ) ) ) ) ) ) ) ).
fof(t1_jordan11, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => r1_xxreal_0(1, k1_jordan11(A))) ) ).
fof(d2_jordan11, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (B=k2_jordan11(A) <=>  ( ~ (r1_xxreal_0(k1_matrix_0(k1_jordan8(A, k1_jordan11(A))), B))  &  (r1_tarski(k3_goboard5(k1_jordan8(A, k1_jordan11(A)), k7_nat_d(k3_jordan1h(A, k1_jordan11(A)), 1), B), k1_jordan2c(2, A)) &  (! [C] :  (v7_ordinal1(C) =>  (r1_tarski(k3_goboard5(k1_jordan8(A, k1_jordan11(A)), k7_nat_d(k3_jordan1h(A, k1_jordan11(A)), 1), C), k1_jordan2c(2, A)) =>  (r1_xxreal_0(k1_matrix_0(k1_jordan8(A, k1_jordan11(A))), C) | r1_xxreal_0(B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_jordan11, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ (r1_xxreal_0(k2_jordan11(A), 1)) ) ) ).
fof(t3_jordan11, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ (r1_xxreal_0(k1_matrix_0(k1_jordan8(A, k1_jordan11(A))), k1_nat_1(k2_jordan11(A), 1))) ) ) ).
fof(d3_jordan11, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_jordan1h(A, B) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (C=k3_jordan11(A, B) <=>  (r1_xxreal_0(C, k1_matrix_0(k1_jordan8(A, B))) &  ( (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(C, D) & r1_xxreal_0(D, k1_nat_1(k2_nat_1(k11_newton(2, k7_nat_d(B, k1_jordan11(A))), k7_nat_d(k2_jordan11(A), 2)), 2)))  => r1_tarski(k3_goboard5(k1_jordan8(A, B), k7_nat_d(k3_jordan1h(A, B), 1), D), k1_jordan2c(2, A))) ) )  &  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(D, k1_matrix_0(k1_jordan8(A, B))) &  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(D, E) & r1_xxreal_0(E, k1_nat_1(k2_nat_1(k11_newton(2, k7_nat_d(B, k1_jordan11(A))), k7_nat_d(k2_jordan11(A), 2)), 2)))  => r1_tarski(k3_goboard5(k1_jordan8(A, B), k7_nat_d(k3_jordan1h(A, B), 1), E), k1_jordan2c(2, A))) ) ) )  => r1_xxreal_0(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_jordan11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (r1_jordan1h(B, A) => k3_jordan1h(B, A)=k2_xcmplx_0(k3_xcmplx_0(k11_newton(2, k7_nat_d(A, k1_jordan11(B))), k6_xcmplx_0(k3_jordan1h(B, k1_jordan11(B)), 2)), 2)) ) ) ) ) ).
fof(t5_jordan11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (r1_jordan1h(B, A) => r1_xxreal_0(k3_jordan11(B, A), k1_nat_1(k2_nat_1(k11_newton(2, k7_nat_d(A, k1_jordan11(B))), k7_nat_d(k2_jordan11(B), 2)), 2))) ) ) ) ) ).
fof(t6_jordan11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (r1_jordan1h(B, A) => r1_tarski(k3_goboard5(k1_jordan8(B, A), k7_nat_d(k3_jordan1h(B, A), 1), k3_jordan11(B, A)), k1_jordan2c(2, B))) ) ) ) ) ).
fof(t7_jordan11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (r1_jordan1h(B, A) =>  ( ~ (r1_xxreal_0(k3_jordan11(B, A), 1))  & r1_xxreal_0(k3_jordan11(B, A), k1_matrix_0(k1_jordan8(B, A)))) ) ) ) ) ) ).
fof(t8_jordan11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (r1_jordan1h(B, A) => r2_hidden(k4_tarski(k3_jordan1h(B, A), k3_jordan11(B, A)), k2_matrix_0(k1_jordan8(B, A)))) ) ) ) ) ).
fof(t9_jordan11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (r1_jordan1h(B, A) => r2_hidden(k4_tarski(k7_nat_d(k3_jordan1h(B, A), 1), k3_jordan11(B, A)), k2_matrix_0(k1_jordan8(B, A)))) ) ) ) ) ).
fof(t10_jordan11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ ( (r1_jordan1h(B, A) & r1_xboole_0(k3_goboard5(k1_jordan8(B, A), k7_nat_d(k3_jordan1h(B, A), 1), k7_nat_d(k3_jordan11(B, A), 1)), B)) ) ) ) ) ) ).
fof(t11_jordan11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (r1_jordan1h(B, A) => r1_xboole_0(k3_goboard5(k1_jordan8(B, A), k7_nat_d(k3_jordan1h(B, A), 1), k3_jordan11(B, A)), B)) ) ) ) ) ).
fof(t12_jordan11, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ (r2_subset_1(k2_jordan2c(2, A), k2_jordan2c(2, B))) ) ) ) ) ).
fof(t13_jordan11, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(C, k2_jordan2c(2, A)) &  (r2_tarski(B, k1_jordan2c(2, A)) & r1_xxreal_0(k1_topreal6(2, C, B), k5_jordan1k(2, C, A))) ) ) ) ) ) ) ) ) ).
fof(t14_jordan11, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( ~ (r2_tarski(B, k1_jordan2c(2, A)))  => r1_xxreal_0(k5_jordan1k(2, B, A), k5_jordan1k(2, B, k1_jordan2c(2, A)))) ) ) ) ) ).
fof(t15_jordan11, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ ( (r1_tarski(A, k1_jordan2c(2, B)) & r1_tarski(B, k1_jordan2c(2, A))) ) ) ) ) ) ).
fof(t16_jordan11, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (r1_tarski(A, k1_jordan2c(2, B)) => r1_tarski(B, k2_jordan2c(2, A))) ) ) ) ) ).
fof(t17_jordan11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => r1_tarski(k3_topreal1(2, k1_jordan9(B, A)), k2_jordan2c(2, B))) ) ) ) ).
fof(dt_k1_jordan11, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => m1_subset_1(k1_jordan11(A), k4_ordinal1)) ) ).
fof(dt_k2_jordan11, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => m1_subset_1(k2_jordan11(A), k4_ordinal1)) ) ).
fof(dt_k3_jordan11, axiom,  (! [A, B] :  ( ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  & v7_ordinal1(B))  => m1_subset_1(k3_jordan11(A, B), k4_ordinal1)) ) ).
fof(cc1_jordan12, axiom,  (! [A] :  (m1_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (v3_topreal1(A) => v1_goboard5(A)) ) ) ).
fof(t1_jordan12, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (r1_xxreal_0(A, 1))  & r1_xxreal_0(k7_nat_d(A, 1), k5_numbers)) ) ) ) ).
fof(t2_jordan12, axiom,  ~ (v1_abian(1)) ).
fof(t3_jordan12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(B)))  =>  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(A)), B, C), k10_xtuple_0(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(A)), B, k1_nat_1(C, 1)), k10_xtuple_0(B))) ) ) ) ) ) ) ) ).
fof(t4_jordan12, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  ( (v2_topreal1(k7_finseq_6(u1_struct_0(k15_euclid(2)), A, B)) &  (v1_goboard5(k7_finseq_6(u1_struct_0(k15_euclid(2)), A, B)) & r1_xxreal_0(2, k3_finseq_1(B))) )  =>  (v2_topreal1(A) & v3_topreal1(A)) ) ) ) ) ) ).
fof(t5_jordan12, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) => r1_tarski(k3_topreal1(2, A), k3_topreal1(2, k7_finseq_6(u1_struct_0(k15_euclid(2)), A, B)))) ) ) ) ).
fof(d1_jordan12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(A))) =>  (r1_jordan12(A, B, C) <=>  (r1_xboole_0(k3_topreal1(A, B), k10_xtuple_0(C)) &  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(1, D) =>  (r1_xxreal_0(k3_finseq_1(C), D) | v1_zfmisc_1(k9_subset_1(u1_struct_0(k15_euclid(A)), k3_topreal1(A, B), k2_topreal1(A, C, D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_jordan12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(A))) =>  (r2_jordan12(A, B, C) <=>  (r1_jordan12(A, B, C) & r1_jordan12(A, C, B)) ) ) ) ) ) ) ) ).
fof(t6_jordan12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  (r2_jordan12(2, B, C) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k15_euclid(2))) =>  (D=k2_partfun1(k4_ordinal1, u1_struct_0(k15_euclid(2)), C, k2_finseq_1(A)) => r2_jordan12(2, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t7_jordan12, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_jordan12(2, k7_finseq_6(u1_struct_0(k15_euclid(2)), A, B), k7_finseq_6(u1_struct_0(k15_euclid(2)), C, D)) => r2_jordan12(2, k7_finseq_6(u1_struct_0(k15_euclid(2)), A, B), C)) ) ) ) ) ) ) ) ) ).
fof(t8_jordan12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(C)) & r2_jordan12(2, B, C)) )  =>  (r2_tarski(k1_funct_1(C, A), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, B))) & r2_tarski(k1_funct_1(C, k1_nat_1(A, 1)), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, B)))) ) ) ) ) ) ) ) ).
fof(t9_jordan12, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_jordan12(2, A, B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(A)) &  (r1_xxreal_0(1, D) & r1_xxreal_0(k1_nat_1(D, 1), k3_finseq_1(B))) ) )  => v1_zfmisc_1(k9_subset_1(u1_struct_0(k15_euclid(2)), k2_topreal1(2, A, C), k2_topreal1(2, B, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t11_jordan12, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_jordan12(2, A, B) => v1_finset_1(k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A), k3_topreal1(2, B)))) ) ) ) ) ).
fof(t12_jordan12, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_jordan12(2, A, B) =>  (! [C] :  (v7_ordinal1(C) => v1_finset_1(k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A), k2_topreal1(2, B, C)))) ) ) ) ) ) ) ).
fof(t13_jordan12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_xboole_0(k1_rltopsp1(k15_euclid(2), B, C), k3_topreal1(2, A)) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( (r3_connsp_1(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A)), D) &  (r2_tarski(B, D) & r2_tarski(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_jordan12, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  ( ~ (v3_funct_1(C))  &  (v1_finseq_6(C, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(C) &  (v2_topreal1(C) &  (v1_goboard5(C) &  (v2_goboard5(C) & m2_finseq_1(C, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ( ~ ( ( (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  (r3_connsp_1(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, C)), D) &  (r2_tarski(A, D) & r2_tarski(B, D)) ) ) )  &  ( ~ ( (r2_tarski(A, k3_goboard9(C)) & r2_tarski(B, k3_goboard9(C))) )  &  ~ ( (r2_tarski(A, k2_goboard9(C)) & r2_tarski(B, k2_goboard9(C))) ) ) ) )  &  ~ ( ( ( (r2_tarski(A, k3_goboard9(C)) & r2_tarski(B, k3_goboard9(C)))  |  (r2_tarski(A, k2_goboard9(C)) & r2_tarski(B, k2_goboard9(C))) )  &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( (r3_connsp_1(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, C)), D) &  (r2_tarski(A, D) & r2_tarski(B, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_jordan12, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  ( ~ (v3_funct_1(C))  &  (v1_finseq_6(C, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(C) &  (v2_topreal1(C) &  (v1_goboard5(C) &  (v2_goboard5(C) & m2_finseq_1(C, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ( (r2_tarski(A, k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, C))) &  (r2_tarski(B, k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, C))) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( (r3_connsp_1(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, C)), D) &  (r2_tarski(A, D) & r2_tarski(B, D)) ) ) ) ) ) )  <=>  ( (r2_tarski(A, k2_goboard9(C)) & r2_tarski(B, k3_goboard9(C)))  |  (r2_tarski(A, k3_goboard9(C)) & r2_tarski(B, k2_goboard9(C))) ) ) ) ) ) ) ).
fof(t16_jordan12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  (! [D] :  ~ ( ( (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  (r3_connsp_1(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A)), E) &  (r2_tarski(B, E) & r2_tarski(C, E)) ) ) )  &  ( (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  (r3_connsp_1(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A)), E) &  (r2_tarski(C, E) & r2_tarski(D, E)) ) ) )  &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( (r3_connsp_1(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A)), E) &  (r2_tarski(B, E) & r2_tarski(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_jordan12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  (! [D] :  ~ ( (r2_tarski(B, k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A))) &  (r2_tarski(C, k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A))) &  (r2_tarski(D, k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A))) &  ( (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( (r3_connsp_1(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A)), E) &  (r2_tarski(B, E) & r2_tarski(C, E)) ) ) ) )  &  ( (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( (r3_connsp_1(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A)), E) &  (r2_tarski(C, E) & r2_tarski(D, E)) ) ) ) )  &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( (r3_connsp_1(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A)), E) &  (r2_tarski(B, E) & r2_tarski(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_jordan12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_xxreal_0(A, k3_finseq_1(B)) => v1_convex1(k1_goboard5(B, A), k15_euclid(2))) ) ) ) ) ).
fof(t19_jordan12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_xxreal_0(A, k1_matrix_0(B)) => v1_convex1(k2_goboard5(B, A), k15_euclid(2))) ) ) ) ) ).
fof(t20_jordan12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(A, k3_finseq_1(C)) & r1_xxreal_0(B, k1_matrix_0(C)))  => v1_convex1(k3_goboard5(C, A, B), k15_euclid(2))) ) ) ) ) ) ) ).
fof(t21_jordan12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 1), k3_finseq_1(A)))  => v1_convex1(k5_goboard5(A, B), k15_euclid(2))) ) ) ) ) ).
fof(t22_jordan12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 1), k3_finseq_1(A)))  =>  (v1_convex1(k2_gobrd13(A, k2_goboard2(A), B), k15_euclid(2)) & v1_convex1(k1_gobrd13(A, k2_goboard2(A), B), k15_euclid(2))) ) ) ) ) ) ).
fof(t23_jordan12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  ( ~ (v3_funct_1(C))  &  (v1_finseq_6(C, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(C) &  (v2_topreal1(C) &  (v1_goboard5(C) &  (v2_goboard5(C) & m2_finseq_1(C, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(D, k1_rltopsp1(k15_euclid(2), A, B)) &  ( (? [E] : k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, C), k1_rltopsp1(k15_euclid(2), A, B))=k1_tarski(E))  &  ( ~ (r2_tarski(D, k3_topreal1(2, C)))  &  ( ~ (r1_xboole_0(k3_topreal1(2, C), k1_rltopsp1(k15_euclid(2), A, D)))  &  ~ (r1_xboole_0(k3_topreal1(2, C), k1_rltopsp1(k15_euclid(2), D, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_jordan12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (v2_sppol_1(k1_rltopsp1(k15_euclid(2), A, B)) & v2_sppol_1(k1_rltopsp1(k15_euclid(2), C, D)))  =>  (r2_subset_1(k1_rltopsp1(k15_euclid(2), A, B), k1_rltopsp1(k15_euclid(2), C, D)) | k17_euclid(A)=k17_euclid(C)) ) ) ) ) ) ) ) ) ) ).
fof(t25_jordan12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r2_tarski(A, k1_rltopsp1(k15_euclid(2), B, C)))  &  (k18_euclid(B)=k18_euclid(C) &  (k18_euclid(C)=k18_euclid(A) &  ( ~ (r2_tarski(B, k1_rltopsp1(k15_euclid(2), A, C)))  &  ~ (r2_tarski(C, k1_rltopsp1(k15_euclid(2), A, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_jordan12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r2_tarski(A, k1_rltopsp1(k15_euclid(2), B, C)))  &  (k17_euclid(B)=k17_euclid(C) &  (k17_euclid(C)=k17_euclid(A) &  ( ~ (r2_tarski(B, k1_rltopsp1(k15_euclid(2), A, C)))  &  ~ (r2_tarski(C, k1_rltopsp1(k15_euclid(2), A, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_jordan12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (A=B)  &  ( ~ (A=C)  &  (r2_tarski(A, k1_rltopsp1(k15_euclid(2), B, C)) & r2_tarski(B, k1_rltopsp1(k15_euclid(2), A, C))) ) ) ) ) ) ) ) ) ) ).
fof(t28_jordan12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r2_tarski(D, k1_rltopsp1(k15_euclid(2), B, C)))  &  (r2_tarski(A, k1_rltopsp1(k15_euclid(2), B, C)) &  ( ~ (A=B)  &  ( ~ (A=C)  &  ( ( (k17_euclid(B)=k17_euclid(C) & k17_euclid(C)=k17_euclid(D))  |  (k18_euclid(B)=k18_euclid(C) & k18_euclid(C)=k18_euclid(D)) )  &  ( ~ (r2_tarski(B, k1_rltopsp1(k15_euclid(2), D, A)))  &  ~ (r2_tarski(C, k1_rltopsp1(k15_euclid(2), D, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_jordan12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ( (k17_euclid(A)=k17_euclid(B) & k17_euclid(C)=k17_euclid(D))  |  (k18_euclid(A)=k18_euclid(B) & k18_euclid(C)=k18_euclid(D)) )  &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), A, B), k1_rltopsp1(k15_euclid(2), C, D))=k1_tarski(E) &  ( ~ (E=A)  &  ( ~ (E=B)  &  ~ (E=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_jordan12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  ( ~ (v3_funct_1(D))  &  (v1_finseq_6(D, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(D) &  (v2_topreal1(D) &  (v1_goboard5(D) &  (v2_goboard5(D) & m2_finseq_1(D, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, D), k1_rltopsp1(k15_euclid(2), B, C))=k1_tarski(A) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r2_tarski(E, k1_rltopsp1(k15_euclid(2), B, C)))  &  ( ~ (r2_tarski(B, k3_topreal1(2, D)))  &  ( ~ (r2_tarski(C, k3_topreal1(2, D)))  &  ( ( (k17_euclid(B)=k17_euclid(C) & k17_euclid(B)=k17_euclid(E))  |  (k18_euclid(B)=k18_euclid(C) & k18_euclid(B)=k18_euclid(E)) )  &  ( (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(1, F) &  (r1_xxreal_0(k1_nat_1(F, 1), k3_finseq_1(D)) &  ( (r2_tarski(E, k1_gobrd13(D, k2_goboard2(D), F)) | r2_tarski(E, k2_gobrd13(D, k2_goboard2(D), F)))  & r2_tarski(A, k2_topreal1(2, D, F))) ) ) ) )  &  ( ~ (r2_tarski(E, k3_topreal1(2, D)))  &  ( (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( (r3_connsp_1(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, D)), F) &  (r2_tarski(E, F) & r2_tarski(B, F)) ) ) ) )  &  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( (r3_connsp_1(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, D)), F) &  (r2_tarski(E, F) & r2_tarski(C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_jordan12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A), k1_rltopsp1(k15_euclid(2), B, C))=k1_tarski(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r2_tarski(B, k3_topreal1(2, A)))  &  ( ~ (r2_tarski(C, k3_topreal1(2, A)))  &  ( ( (k17_euclid(B)=k17_euclid(C) &  (k17_euclid(B)=k17_euclid(E) & k17_euclid(E)=k17_euclid(F)) )  |  (k18_euclid(B)=k18_euclid(C) &  (k18_euclid(B)=k18_euclid(E) & k18_euclid(E)=k18_euclid(F)) ) )  &  ( (? [G] :  (v7_ordinal1(G) &  (r1_xxreal_0(1, G) &  (r1_xxreal_0(k1_nat_1(G, 1), k3_finseq_1(A)) &  (r2_tarski(E, k2_gobrd13(A, k2_goboard2(A), G)) &  (r2_tarski(F, k1_gobrd13(A, k2_goboard2(A), G)) & r2_tarski(D, k2_topreal1(2, A, G))) ) ) ) ) )  &  ( ~ (r2_tarski(E, k3_topreal1(2, A)))  &  ( ~ (r2_tarski(F, k3_topreal1(2, A)))  &  (? [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  (r3_connsp_1(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A)), G) &  (r2_tarski(B, G) & r2_tarski(C, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_jordan12, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v3_funct_1(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(B) &  (v2_topreal1(B) &  (v1_goboard5(B) &  (v2_goboard5(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, B), k1_rltopsp1(k15_euclid(2), C, D))=k1_tarski(A) & r1_subset_1(k10_xtuple_0(B), k1_rltopsp1(k15_euclid(2), C, D)))  =>  ( ( ~ (k17_euclid(C)=k17_euclid(D))  &  ~ (k18_euclid(C)=k18_euclid(D)) )  |  (r2_tarski(C, k3_topreal1(2, B)) |  (r2_tarski(D, k3_topreal1(2, B)) |  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( (r3_connsp_1(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, B)), E) &  (r2_tarski(C, E) & r2_tarski(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_jordan12, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  ( (v1_topreal1(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2))))  =>  (r2_jordan12(2, A, B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(B)))  =>  ( (v1_abian(k1_card_1(k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A), k2_topreal1(2, B, C)))) & m1_subset_1(k1_card_1(k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A), k2_topreal1(2, B, C))), k4_ordinal1))  <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  (r3_connsp_1(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A)), D) &  (r2_tarski(k1_funct_1(B, C), D) & r2_tarski(k1_funct_1(B, k1_nat_1(C, 1)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_jordan12, axiom,  (! [A] :  ( (v1_topreal1(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (! [B] :  ( (v1_topreal1(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2))))  =>  (! [C] :  ( (v1_topreal1(C) & m2_finseq_1(C, u1_struct_0(k15_euclid(2))))  =>  ( ( ( ~ (v1_xboole_0(k7_finseq_6(u1_struct_0(k15_euclid(2)), A, B)))  &  ( ~ (v3_funct_1(k7_finseq_6(u1_struct_0(k15_euclid(2)), A, B)))  &  (v1_finseq_6(k7_finseq_6(u1_struct_0(k15_euclid(2)), A, B), u1_struct_0(k15_euclid(2))) &  (v1_topreal1(k7_finseq_6(u1_struct_0(k15_euclid(2)), A, B)) &  (v2_topreal1(k7_finseq_6(u1_struct_0(k15_euclid(2)), A, B)) &  (v1_goboard5(k7_finseq_6(u1_struct_0(k15_euclid(2)), A, B)) &  (v2_goboard5(k7_finseq_6(u1_struct_0(k15_euclid(2)), A, B)) & m2_finseq_1(k7_finseq_6(u1_struct_0(k15_euclid(2)), A, B), u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  &  (r2_jordan12(2, k7_finseq_6(u1_struct_0(k15_euclid(2)), A, B), C) &  (r1_xxreal_0(2, k3_finseq_1(C)) &  (v2_topreal1(C) & v3_topreal1(C)) ) ) )  =>  ( (v1_abian(k1_card_1(k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, k7_finseq_6(u1_struct_0(k15_euclid(2)), A, B)), k3_topreal1(2, C)))) & m1_subset_1(k1_card_1(k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, k7_finseq_6(u1_struct_0(k15_euclid(2)), A, B)), k3_topreal1(2, C))), k4_ordinal1))  <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  (r3_connsp_1(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, k7_finseq_6(u1_struct_0(k15_euclid(2)), A, B))), D) &  (r2_tarski(k1_funct_1(C, 1), D) & r2_tarski(k1_funct_1(C, k3_finseq_1(C)), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_jordan12, axiom,  (! [A] :  ( (v1_topreal1(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (! [B] :  ( (v1_topreal1(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2))))  =>  (! [C] :  ( (v1_topreal1(C) & m2_finseq_1(C, u1_struct_0(k15_euclid(2))))  =>  (! [D] :  ( (v1_topreal1(D) & m2_finseq_1(D, u1_struct_0(k15_euclid(2))))  =>  ( ( ( ~ (v1_xboole_0(k7_finseq_6(u1_struct_0(k15_euclid(2)), A, B)))  &  ( ~ (v3_funct_1(k7_finseq_6(u1_struct_0(k15_euclid(2)), A, B)))  &  (v1_finseq_6(k7_finseq_6(u1_struct_0(k15_euclid(2)), A, B), u1_struct_0(k15_euclid(2))) &  (v1_topreal1(k7_finseq_6(u1_struct_0(k15_euclid(2)), A, B)) &  (v2_topreal1(k7_finseq_6(u1_struct_0(k15_euclid(2)), A, B)) &  (v1_goboard5(k7_finseq_6(u1_struct_0(k15_euclid(2)), A, B)) &  (v2_goboard5(k7_finseq_6(u1_struct_0(k15_euclid(2)), A, B)) & m2_finseq_1(k7_finseq_6(u1_struct_0(k15_euclid(2)), A, B), u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(k7_finseq_6(u1_struct_0(k15_euclid(2)), C, D)))  &  ( ~ (v3_funct_1(k7_finseq_6(u1_struct_0(k15_euclid(2)), C, D)))  &  (v1_finseq_6(k7_finseq_6(u1_struct_0(k15_euclid(2)), C, D), u1_struct_0(k15_euclid(2))) &  (v1_topreal1(k7_finseq_6(u1_struct_0(k15_euclid(2)), C, D)) &  (v2_topreal1(k7_finseq_6(u1_struct_0(k15_euclid(2)), C, D)) &  (v1_goboard5(k7_finseq_6(u1_struct_0(k15_euclid(2)), C, D)) &  (v2_goboard5(k7_finseq_6(u1_struct_0(k15_euclid(2)), C, D)) & m2_finseq_1(k7_finseq_6(u1_struct_0(k15_euclid(2)), C, D), u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  &  (r1_xboole_0(k3_topreal1(2, A), k3_topreal1(2, D)) &  (r1_xboole_0(k3_topreal1(2, B), k3_topreal1(2, C)) & r2_jordan12(2, k7_finseq_6(u1_struct_0(k15_euclid(2)), A, B), k7_finseq_6(u1_struct_0(k15_euclid(2)), C, D))) ) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(2))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k15_euclid(2))) =>  ~ ( (k1_funct_1(A, 1)=E &  (k1_funct_1(A, k3_finseq_1(A))=F &  (k1_funct_1(C, 1)=G &  (k1_funct_1(C, k3_finseq_1(C))=H &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))=k7_partfun1(u1_struct_0(k15_euclid(2)), B, 1) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, k3_finseq_1(C))=k7_partfun1(u1_struct_0(k15_euclid(2)), D, 1) &  (r2_tarski(E, k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A), k3_topreal1(2, B))) &  (r2_tarski(G, k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, C), k3_topreal1(2, D))) &  ( (? [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  (r3_connsp_1(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, k7_finseq_6(u1_struct_0(k15_euclid(2)), A, B))), I) &  (r2_tarski(G, I) & r2_tarski(H, I)) ) ) )  &  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( (r3_connsp_1(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, k7_finseq_6(u1_struct_0(k15_euclid(2)), C, D))), I) &  (r2_tarski(E, I) & r2_tarski(F, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(symmetry_r2_jordan12, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_finseq_1(B, u1_struct_0(k15_euclid(A))) & m1_finseq_1(C, u1_struct_0(k15_euclid(A)))) )  =>  (r2_jordan12(A, B, C) => r2_jordan12(A, C, B)) ) ) ).
fof(t10_jordan12, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) => v1_finset_1(k3_setfam_1(a_1_0_jordan12(A), a_1_0_jordan12(B)))) ) ) ) ).
fof(fraenkel_a_1_0_jordan12, axiom,  (! [A, B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_hidden(A, a_1_0_jordan12(B)) <=>  (? [C] :  (v7_ordinal1(C) &  (A=k2_topreal1(2, B, C) &  (r1_xxreal_0(1, C) & r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(B))) ) ) ) ) ) ) ).
fof(d1_jordan13, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  &  (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_jordan1h(A, B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  ( ~ (v3_funct_1(C))  &  (v1_finseq_6(C, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(C) &  (v2_topreal1(C) &  (v1_goboard5(C) &  (v2_goboard5(C) &  (v1_sprect_2(C) & m2_finseq_1(C, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  =>  (C=k1_jordan13(A, B) <=>  (r1_goboard1(u1_struct_0(k15_euclid(2)), C, k1_jordan8(A, B)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, 1)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), k3_jordan1h(A, B), k3_jordan11(A, B)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, 2)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), k7_nat_d(k3_jordan1h(A, B), 1), k3_jordan11(A, B)) &  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(k1_nat_1(D, 2), k3_finseq_1(C)))  =>  ( ( (r1_xboole_0(k3_gobrd13(C, k1_jordan8(A, B), D), A) & r1_xboole_0(k4_gobrd13(C, k1_jordan8(A, B), D), A))  => r2_gobrd13(u1_struct_0(k15_euclid(2)), C, k1_jordan8(A, B), D))  &  ( (r1_xboole_0(k3_gobrd13(C, k1_jordan8(A, B), D), A) =>  (r1_xboole_0(k4_gobrd13(C, k1_jordan8(A, B), D), A) | r3_gobrd13(u1_struct_0(k15_euclid(2)), C, k1_jordan8(A, B), D)) )  &  ( ~ (r1_xboole_0(k3_gobrd13(C, k1_jordan8(A, B), D), A))  => r1_gobrd13(u1_struct_0(k15_euclid(2)), C, k1_jordan8(A, B), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_jordan13, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  &  (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  & v7_ordinal1(B))  =>  ( ~ (v1_xboole_0(k1_jordan13(A, B)))  &  ( ~ (v3_funct_1(k1_jordan13(A, B)))  &  (v1_finseq_6(k1_jordan13(A, B), u1_struct_0(k15_euclid(2))) &  (v1_topreal1(k1_jordan13(A, B)) &  (v2_topreal1(k1_jordan13(A, B)) &  (v1_goboard5(k1_jordan13(A, B)) &  (v2_goboard5(k1_jordan13(A, B)) &  (v1_sprect_2(k1_jordan13(A, B)) & m2_finseq_1(k1_jordan13(A, B), u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) ) ) ) ).
fof(fc1_jordan14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => v2_connsp_1(k1_jordan2c(2, k3_topreal1(2, A)), k15_euclid(2))) ) ).
fof(fc2_jordan14, axiom,  (! [A, B] :  ( ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  & v7_ordinal1(B))  => v2_compts_1(k2_pre_topc(k15_euclid(2), k3_goboard9(k1_jordan13(A, B))), k15_euclid(2))) ) ).
fof(t1_jordan14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (k1_jordan2c(2, k3_topreal1(2, A))=k3_goboard9(A) | k1_jordan2c(2, k3_topreal1(2, A))=k2_goboard9(A)) ) ) ).
fof(t2_jordan14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (k2_jordan2c(2, k3_topreal1(2, A))=k3_goboard9(A) | k2_jordan2c(2, k3_topreal1(2, A))=k2_goboard9(A)) ) ) ).
fof(t3_jordan14, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(B)) & r1_goboard1(u1_struct_0(k15_euclid(2)), B, A)) )  => v4_pre_topc(k2_gobrd13(B, A, C), k15_euclid(2))) ) ) ) ) ) ) ).
fof(t4_jordan14, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(A)) &  (r1_xxreal_0(1, D) & r1_xxreal_0(k1_nat_1(D, 1), k1_matrix_0(A))) ) )  =>  (r2_tarski(B, k1_tops_1(k15_euclid(2), k3_goboard5(A, C, D))) <=>  ( ~ (r1_xxreal_0(k17_euclid(B), k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), A, C, D))))  &  ( ~ (r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k1_nat_1(C, 1), D)), k17_euclid(B)))  &  ( ~ (r1_xxreal_0(k18_euclid(B), k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), A, C, D))))  &  ~ (r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), A, C, k1_nat_1(D, 1))), k18_euclid(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_jordan14, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => v2_connsp_1(k1_jordan2c(2, k3_topreal1(2, A)), k15_euclid(2))) ) ).
fof(d1_jordan14, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) => k1_jordan14(A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), k3_jordan1h(A, B), k3_jordan11(A, B))) ) ) ) ).
fof(t6_jordan14, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_jordan1h(A, B) => r2_tarski(k1_jordan14(A, B), k1_jordan2c(2, A))) ) ) ) ) ).
fof(t7_jordan14, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_jordan1h(A, B) &  (r1_xxreal_0(1, C) & r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(k1_jordan13(A, B)))) )  =>  (r1_xboole_0(k1_gobrd13(k1_jordan13(A, B), k1_jordan8(A, B), C), A) &  ~ (r1_xboole_0(k2_gobrd13(k1_jordan13(A, B), k1_jordan8(A, B), C), A)) ) ) ) ) ) ) ) ) ).
fof(t8_jordan14, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_jordan1h(A, B) => r1_subset_1(A, k3_topreal1(2, k1_jordan13(A, B)))) ) ) ) ) ).
fof(t9_jordan14, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_jordan1h(A, B) & r1_xboole_0(A, k2_goboard9(k1_jordan13(A, B)))) ) ) ) ) ) ).
fof(t10_jordan14, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_jordan1h(A, B) => r1_xboole_0(A, k3_goboard9(k1_jordan13(A, B)))) ) ) ) ) ).
fof(t11_jordan14, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_jordan1h(A, B) => r1_tarski(A, k2_goboard9(k1_jordan13(A, B)))) ) ) ) ) ).
fof(t12_jordan14, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_jordan1h(A, B) => r1_tarski(A, k2_jordan2c(2, k3_topreal1(2, k1_jordan13(A, B))))) ) ) ) ) ).
fof(t13_jordan14, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_jordan1h(A, B) => r1_tarski(k1_jordan2c(2, k3_topreal1(2, k1_jordan13(A, B))), k1_jordan2c(2, A))) ) ) ) ) ).
fof(t14_jordan14, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_jordan1h(A, B) => r1_tarski(k2_jordan2c(2, A), k2_jordan2c(2, k3_topreal1(2, k1_jordan13(A, B))))) ) ) ) ) ).
fof(t15_jordan14, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_jordan1h(A, B) => r1_tarski(k3_goboard9(k1_jordan13(A, B)), k1_jordan2c(2, A))) ) ) ) ) ).
fof(t16_jordan14, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_jordan1h(A, B) => r1_tarski(k2_jordan2c(2, A), k2_goboard9(k1_jordan13(A, B)))) ) ) ) ) ).
fof(t17_jordan14, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_jordan1h(A, B) => r1_xboole_0(k2_jordan2c(2, A), k1_jordan2c(2, k3_topreal1(2, k1_jordan13(A, B))))) ) ) ) ) ).
fof(t18_jordan14, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_jordan1h(A, B) => r1_xboole_0(k2_jordan2c(2, A), k3_goboard9(k1_jordan13(A, B)))) ) ) ) ) ).
fof(t19_jordan14, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_jordan1h(A, C) & r2_jordan2c(2, A, B))  => r1_xboole_0(B, k3_topreal1(2, k1_jordan13(A, C)))) ) ) ) ) ) ) ).
fof(t20_jordan14, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_jordan1h(A, B) => r1_subset_1(k2_jordan2c(2, A), k3_topreal1(2, k1_jordan13(A, B)))) ) ) ) ) ).
fof(t21_jordan14, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_jordan1h(A, B) => r1_tarski(k3_topreal1(2, k1_jordan13(A, B)), k1_jordan2c(2, A))) ) ) ) ) ).
fof(t22_jordan14, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_jordan1h(A, E) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k3_finseq_1(k1_jordan13(A, E))) &  (r2_hidden(k4_tarski(B, C), k2_matrix_0(k1_jordan8(A, E))) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), k1_jordan13(A, E), D)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, E), B, C) & r1_xxreal_0(B, 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_jordan14, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_jordan1h(A, E) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k3_finseq_1(k1_jordan13(A, E))) &  (r2_hidden(k4_tarski(B, C), k2_matrix_0(k1_jordan8(A, E))) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), k1_jordan13(A, E), D)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, E), B, C) & r1_xxreal_0(k3_finseq_1(k1_jordan8(A, E)), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_jordan14, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_jordan1h(A, E) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k3_finseq_1(k1_jordan13(A, E))) &  (r2_hidden(k4_tarski(B, C), k2_matrix_0(k1_jordan8(A, E))) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), k1_jordan13(A, E), D)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, E), B, C) & r1_xxreal_0(C, 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_jordan14, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_jordan1h(A, E) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k3_finseq_1(k1_jordan13(A, E))) &  (r2_hidden(k4_tarski(B, C), k2_matrix_0(k1_jordan8(A, E))) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), k1_jordan13(A, E), D)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, E), B, C) & r1_xxreal_0(k1_matrix_0(k1_jordan8(A, E)), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_jordan14, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_jordan1h(A, B) & r1_xxreal_0(k1_matrix_0(k1_jordan8(A, B)), k3_jordan11(A, B))) ) ) ) ) ) ).
fof(t27_jordan14, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(B, C) & r1_xxreal_0(1, B))  => k3_jordan1h(A, C)=k2_xcmplx_0(k3_xcmplx_0(k11_newton(2, k7_nat_d(C, B)), k6_xcmplx_0(k3_jordan1h(A, B), 2)), 2)) ) ) ) ) ) ) ).
fof(t28_jordan14, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(B, C) & r1_jordan1h(A, B))  => r1_jordan1h(A, C)) ) ) ) ) ) ) ).
fof(t29_jordan14, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_goboard1(u1_struct_0(k15_euclid(2)), B, A) &  (v1_topreal1(B) &  (r1_xxreal_0(C, k3_finseq_1(A)) & r1_xxreal_0(D, k1_matrix_0(A))) ) )  => v2_connsp_1(k7_subset_1(u1_struct_0(k15_euclid(2)), k3_goboard5(A, C, D), k3_topreal1(2, B)), k15_euclid(2))) ) ) ) ) ) ) ) ) ).
fof(t30_jordan14, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_jordan1h(A, B) &  (r1_xxreal_0(k3_jordan11(A, B), C) & r1_xxreal_0(C, k1_nat_1(k2_nat_1(k11_newton(2, k7_nat_d(B, k1_jordan11(A))), k7_nat_d(k2_jordan11(A), 2)), 2))) )  => r1_tarski(k7_subset_1(u1_struct_0(k15_euclid(2)), k3_goboard5(k1_jordan8(A, B), k7_nat_d(k3_jordan1h(A, B), 1), C), k3_topreal1(2, k1_jordan13(A, B))), k1_jordan2c(2, k3_topreal1(2, k1_jordan13(A, B))))) ) ) ) ) ) ) ).
fof(t31_jordan14, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(C, B) &  ( ~ (r1_xxreal_0(D, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(A, C)), k1_nat_1(D, 1)))  & r1_xxreal_0(k3_finseq_1(k1_jordan8(A, B)), k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k11_newton(2, k7_nat_d(B, C)), k6_xcmplx_0(D, 2)), 2), 1))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_jordan14, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_jordan1h(A, B) &  (r1_xxreal_0(B, C) & r1_xboole_0(k3_goboard9(k1_jordan13(A, B)), k3_goboard9(k1_jordan13(A, C)))) ) ) ) ) ) ) ) ) ).
fof(t33_jordan14, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  ( (r1_goboard1(u1_struct_0(k15_euclid(2)), B, A) & v1_topreal1(B))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(C, k3_finseq_1(A)) & r1_xxreal_0(D, k1_matrix_0(A)))  => r1_tarski(k1_tops_1(k15_euclid(2), k3_goboard5(A, C, D)), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, B)))) ) ) ) ) ) ) ) ) ) ).
fof(t34_jordan14, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_jordan1h(A, B) & r1_xxreal_0(B, C))  => r1_tarski(k3_topreal1(2, k1_jordan13(A, C)), k2_pre_topc(k15_euclid(2), k2_goboard9(k1_jordan13(A, B))))) ) ) ) ) ) ) ).
fof(t35_jordan14, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_jordan1h(A, B) & r1_xxreal_0(B, C))  => r1_tarski(k3_goboard9(k1_jordan13(A, B)), k3_goboard9(k1_jordan13(A, C)))) ) ) ) ) ) ) ).
fof(t36_jordan14, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_jordan1h(A, B) & r1_xxreal_0(B, C))  => r1_tarski(k2_goboard9(k1_jordan13(A, C)), k2_goboard9(k1_jordan13(A, B)))) ) ) ) ) ) ) ).
fof(dt_k1_jordan14, axiom,  (! [A, B] :  ( ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  & v7_ordinal1(B))  => m1_subset_1(k1_jordan14(A, B), u1_struct_0(k15_euclid(2)))) ) ).
fof(t1_jordan15, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( ( ~ (r1_xboole_0(A, B))  & r1_xboole_0(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k4_pscomp_1, A), k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k4_pscomp_1, B))) ) ) ) ) ) ).
fof(t2_jordan15, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_xboole_0(A, B) &  (r1_tarski(A, k7_jordan6(C)) & r1_tarski(B, k7_jordan6(C))) )  => r1_xboole_0(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k4_pscomp_1, A), k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k4_pscomp_1, B))) ) ) ) ) ) ) ).
fof(t3_jordan15, axiom,  (! [A] :  ( (v4_pre_topc(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (v9_rltopsp1(A, k15_euclid(2)) => v2_rcomp_1(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k4_pscomp_1, A))) ) ) ).
fof(t4_jordan15, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => v1_rcomp_1(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k4_pscomp_1, A))) ) ).
fof(t5_jordan15, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k3_finseq_1(A)) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, E) &  (r1_xxreal_0(E, F) &  (r1_xxreal_0(F, D) & r1_xxreal_0(D, k1_matrix_0(A))) ) ) ) ) )  => r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, B, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, B, F)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, B, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, B, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_jordan15, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k1_matrix_0(A)) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, E) &  (r1_xxreal_0(E, F) &  (r1_xxreal_0(F, D) & r1_xxreal_0(D, k3_finseq_1(A))) ) ) ) ) )  => r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, E, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, F, B)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, C, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, D, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_jordan15, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, C) & r1_xxreal_0(C, k1_matrix_0(A))) ) ) )  => r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k1_jordan1a(A), D), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k1_jordan1a(A), E)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k1_jordan1a(A), B), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k1_jordan1a(A), C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_jordan15, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (k3_finseq_1(A)=k1_matrix_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, C) & r1_xxreal_0(C, k3_finseq_1(A))) ) ) )  => r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, D, k1_jordan1a(A)), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, E, k1_jordan1a(A))), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, B, k1_jordan1a(A)), k3_matrix_0(u1_struct_0(k15_euclid(2)), A, C, k1_jordan1a(A))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(k1_jordan8(B, A))) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, k1_matrix_0(k1_jordan8(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_topreal1(2, k2_jordan1e(B, A))) &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r1_xxreal_0(D, F) &  (r1_xxreal_0(F, E) & k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)), k3_topreal1(2, k2_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(k1_jordan8(B, A))) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, k1_matrix_0(k1_jordan8(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_topreal1(2, k1_jordan1e(B, A))) &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r1_xxreal_0(D, F) &  (r1_xxreal_0(F, E) & k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F)), k3_topreal1(2, k1_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(k1_jordan8(B, A))) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, k1_matrix_0(k1_jordan8(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_topreal1(2, k2_jordan1e(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_topreal1(2, k1_jordan1e(B, A))) &  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ~ ( (r1_xxreal_0(D, F) &  (r1_xxreal_0(F, G) &  (r1_xxreal_0(G, E) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, G)), k3_topreal1(2, k2_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F)) & k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, G)), k3_topreal1(2, k1_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, k3_finseq_1(k1_jordan8(B, A))) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(k1_jordan8(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, C), k3_topreal1(2, k2_jordan1e(B, A))) &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r1_xxreal_0(D, F) &  (r1_xxreal_0(F, E) & k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), F, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), E, C)), k3_topreal1(2, k2_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), F, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, k3_finseq_1(k1_jordan8(B, A))) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(k1_jordan8(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), E, C), k3_topreal1(2, k1_jordan1e(B, A))) &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r1_xxreal_0(D, F) &  (r1_xxreal_0(F, E) & k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), F, C)), k3_topreal1(2, k1_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), F, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, k3_finseq_1(k1_jordan8(B, A))) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(k1_jordan8(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, C), k3_topreal1(2, k2_jordan1e(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), E, C), k3_topreal1(2, k1_jordan1e(B, A))) &  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ~ ( (r1_xxreal_0(D, F) &  (r1_xxreal_0(F, G) &  (r1_xxreal_0(G, E) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), F, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), G, C)), k3_topreal1(2, k2_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), F, C)) & k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), F, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), G, C)), k3_topreal1(2, k1_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), G, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(k1_jordan8(B, A))) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, k1_matrix_0(k1_jordan8(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_topreal1(2, k1_jordan1e(B, A))) &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r1_xxreal_0(D, F) &  (r1_xxreal_0(F, E) & k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)), k3_topreal1(2, k1_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(k1_jordan8(B, A))) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, k1_matrix_0(k1_jordan8(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_topreal1(2, k2_jordan1e(B, A))) &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r1_xxreal_0(D, F) &  (r1_xxreal_0(F, E) & k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F)), k3_topreal1(2, k2_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(k1_jordan8(B, A))) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, k1_matrix_0(k1_jordan8(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_topreal1(2, k1_jordan1e(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_topreal1(2, k2_jordan1e(B, A))) &  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ~ ( (r1_xxreal_0(D, F) &  (r1_xxreal_0(F, G) &  (r1_xxreal_0(G, E) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, G)), k3_topreal1(2, k1_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F)) & k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, G)), k3_topreal1(2, k2_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, k3_finseq_1(k1_jordan8(B, A))) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(k1_jordan8(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, C), k3_topreal1(2, k1_jordan1e(B, A))) &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r1_xxreal_0(D, F) &  (r1_xxreal_0(F, E) & k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), F, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), E, C)), k3_topreal1(2, k1_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), F, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, k3_finseq_1(k1_jordan8(B, A))) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(k1_jordan8(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), E, C), k3_topreal1(2, k2_jordan1e(B, A))) &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r1_xxreal_0(D, F) &  (r1_xxreal_0(F, E) & k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), F, C)), k3_topreal1(2, k2_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), F, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, k3_finseq_1(k1_jordan8(B, A))) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(k1_jordan8(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, C), k3_topreal1(2, k1_jordan1e(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), E, C), k3_topreal1(2, k2_jordan1e(B, A))) &  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ~ ( (r1_xxreal_0(D, F) &  (r1_xxreal_0(F, G) &  (r1_xxreal_0(G, E) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), F, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), G, C)), k3_topreal1(2, k1_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), F, C)) & k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), F, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), G, C)), k3_topreal1(2, k2_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), G, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), C))  &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, k1_matrix_0(k1_jordan8(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_topreal1(2, k1_jordan1e(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_topreal1(2, k2_jordan1e(B, A))) & r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)), k9_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), C))  &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, k1_matrix_0(k1_jordan8(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_topreal1(2, k1_jordan1e(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_topreal1(2, k2_jordan1e(B, A))) & r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)), k8_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), C))  &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, k1_matrix_0(k1_jordan8(B, A))) &  ( ~ (r1_xxreal_0(A, k5_numbers))  &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k8_jordan6(k3_topreal1(2, k1_jordan9(B, A)))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k9_jordan6(k3_topreal1(2, k1_jordan9(B, A)))) & r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)), k9_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), C))  &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, k1_matrix_0(k1_jordan8(B, A))) &  ( ~ (r1_xxreal_0(A, k5_numbers))  &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k8_jordan6(k3_topreal1(2, k1_jordan9(B, A)))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k9_jordan6(k3_topreal1(2, k1_jordan9(B, A)))) & r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)), k8_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, D) &  (r1_xxreal_0(D, k1_matrix_0(k1_jordan8(B, k1_nat_1(A, 1)))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))), D), k8_jordan6(k3_topreal1(2, k1_jordan9(B, k1_nat_1(A, 1))))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))), C), k9_jordan6(k3_topreal1(2, k1_jordan9(B, k1_nat_1(A, 1))))) & r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))), C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))), D)), k9_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, D) &  (r1_xxreal_0(D, k1_matrix_0(k1_jordan8(B, k1_nat_1(A, 1)))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))), D), k8_jordan6(k3_topreal1(2, k1_jordan9(B, k1_nat_1(A, 1))))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))), C), k9_jordan6(k3_topreal1(2, k1_jordan9(B, k1_nat_1(A, 1))))) & r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))), C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))), D)), k8_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(D, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), E))  &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(k1_jordan8(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), E, C), k3_topreal1(2, k1_jordan1e(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, C), k3_topreal1(2, k2_jordan1e(B, A))) & D=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(D, 1))  &  (r1_xxreal_0(D, E) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), E))  &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(k1_jordan8(B, A))) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), E, C)), k3_topreal1(2, k1_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), E, C)) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), E, C)), k3_topreal1(2, k2_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, C)) & r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), E, C)), k9_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(D, 1))  &  (r1_xxreal_0(D, E) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), E))  &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(k1_jordan8(B, A))) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), E, C)), k3_topreal1(2, k1_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), E, C)) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), E, C)), k3_topreal1(2, k2_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, C)) & r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), E, C)), k8_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(D, 1))  &  (r1_xxreal_0(D, E) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), E))  &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(k1_jordan8(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), E, C), k3_topreal1(2, k1_jordan1e(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, C), k3_topreal1(2, k2_jordan1e(B, A))) & r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), E, C)), k9_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(D, 1))  &  (r1_xxreal_0(D, E) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), E))  &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(k1_jordan8(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), E, C), k3_topreal1(2, k1_jordan1e(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, C), k3_topreal1(2, k2_jordan1e(B, A))) & r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), E, C)), k8_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(D, 1))  &  (r1_xxreal_0(D, E) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), E))  &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(k1_jordan8(B, A))) &  ( ~ (r1_xxreal_0(A, k5_numbers))  &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), E, C), k8_jordan6(k3_topreal1(2, k1_jordan9(B, A)))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, C), k9_jordan6(k3_topreal1(2, k1_jordan9(B, A)))) & r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), E, C)), k9_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(D, 1))  &  (r1_xxreal_0(D, E) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), E))  &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(k1_jordan8(B, A))) &  ( ~ (r1_xxreal_0(A, k5_numbers))  &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), E, C), k8_jordan6(k3_topreal1(2, k1_jordan9(B, A)))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, C), k9_jordan6(k3_topreal1(2, k1_jordan9(B, A)))) & r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), E, C)), k8_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  (r1_xxreal_0(C, D) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, k1_nat_1(A, 1))), D))  &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), D, k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1)))), k8_jordan6(k3_topreal1(2, k1_jordan9(B, k1_nat_1(A, 1))))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), C, k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1)))), k9_jordan6(k3_topreal1(2, k1_jordan9(B, k1_nat_1(A, 1))))) & r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), C, k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1)))), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), D, k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))))), k9_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  (r1_xxreal_0(C, D) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, k1_nat_1(A, 1))), D))  &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), D, k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1)))), k8_jordan6(k3_topreal1(2, k1_jordan9(B, k1_nat_1(A, 1))))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), C, k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1)))), k9_jordan6(k3_topreal1(2, k1_jordan9(B, k1_nat_1(A, 1))))) & r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), C, k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1)))), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), D, k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))))), k8_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(D, 1))  &  (r1_xxreal_0(D, E) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), E))  &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(k1_jordan8(B, A))) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), E, C)), k3_topreal1(2, k1_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, C)) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), E, C)), k3_topreal1(2, k2_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), E, C)) & r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), E, C)), k9_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(D, 1))  &  (r1_xxreal_0(D, E) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), E))  &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(k1_jordan8(B, A))) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), E, C)), k3_topreal1(2, k1_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, C)) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), E, C)), k3_topreal1(2, k2_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), E, C)) & r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), E, C)), k8_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(D, 1))  &  (r1_xxreal_0(D, E) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), E))  &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(k1_jordan8(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, C), k3_topreal1(2, k1_jordan1e(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), E, C), k3_topreal1(2, k2_jordan1e(B, A))) & r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), E, C)), k9_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(D, 1))  &  (r1_xxreal_0(D, E) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), E))  &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(k1_jordan8(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, C), k3_topreal1(2, k1_jordan1e(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), E, C), k3_topreal1(2, k2_jordan1e(B, A))) & r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), E, C)), k8_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(D, 1))  &  (r1_xxreal_0(D, E) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), E))  &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(k1_jordan8(B, A))) &  ( ~ (r1_xxreal_0(A, k5_numbers))  &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, C), k8_jordan6(k3_topreal1(2, k1_jordan9(B, A)))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), E, C), k9_jordan6(k3_topreal1(2, k1_jordan9(B, A)))) & r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), E, C)), k9_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(D, 1))  &  (r1_xxreal_0(D, E) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), E))  &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(k1_jordan8(B, A))) &  ( ~ (r1_xxreal_0(A, k5_numbers))  &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, C), k8_jordan6(k3_topreal1(2, k1_jordan9(B, A)))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), E, C), k9_jordan6(k3_topreal1(2, k1_jordan9(B, A)))) & r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), E, C)), k8_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  (r1_xxreal_0(C, D) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, k1_nat_1(A, 1))), D))  &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), C, k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1)))), k8_jordan6(k3_topreal1(2, k1_jordan9(B, k1_nat_1(A, 1))))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), D, k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1)))), k9_jordan6(k3_topreal1(2, k1_jordan9(B, k1_nat_1(A, 1))))) & r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), C, k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1)))), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), D, k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))))), k9_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  (r1_xxreal_0(C, D) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, k1_nat_1(A, 1))), D))  &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), C, k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1)))), k8_jordan6(k3_topreal1(2, k1_jordan9(B, k1_nat_1(A, 1))))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), D, k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1)))), k9_jordan6(k3_topreal1(2, k1_jordan9(B, k1_nat_1(A, 1))))) & r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), C, k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1)))), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), D, k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))))), k8_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  (r1_xxreal_0(C, D) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), D))  &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, F) &  (r1_xxreal_0(F, k1_matrix_0(k1_jordan8(B, A))) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k4_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, F))), k3_topreal1(2, k1_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, F)) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k4_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, F))), k3_topreal1(2, k2_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)) & r2_subset_1(k4_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, F))), k8_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  (r1_xxreal_0(C, D) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), D))  &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, F) &  (r1_xxreal_0(F, k1_matrix_0(k1_jordan8(B, A))) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k4_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, F))), k3_topreal1(2, k1_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, F)) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k4_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, F))), k3_topreal1(2, k2_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)) & r2_subset_1(k4_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, F))), k9_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ~ ( ( ~ (r1_xxreal_0(D, 1))  &  (r1_xxreal_0(D, C) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), C))  &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, F) &  (r1_xxreal_0(F, k1_matrix_0(k1_jordan8(B, A))) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k4_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, F))), k3_topreal1(2, k1_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, F)) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k4_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, F))), k3_topreal1(2, k2_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)) & r2_subset_1(k4_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, F))), k8_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ~ ( ( ~ (r1_xxreal_0(D, 1))  &  (r1_xxreal_0(D, C) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), C))  &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, F) &  (r1_xxreal_0(F, k1_matrix_0(k1_jordan8(B, A))) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k4_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, F))), k3_topreal1(2, k1_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, F)) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k4_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, F))), k3_topreal1(2, k2_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)) & r2_subset_1(k4_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, F))), k9_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, k1_nat_1(A, 1))), C))  &  ( ~ (r1_xxreal_0(D, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, k1_nat_1(A, 1))), D))  &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, F) &  (r1_xxreal_0(F, k1_matrix_0(k1_jordan8(B, k1_nat_1(A, 1)))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), C, F), k8_jordan6(k3_topreal1(2, k1_jordan9(B, k1_nat_1(A, 1))))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), D, E), k9_jordan6(k3_topreal1(2, k1_jordan9(B, k1_nat_1(A, 1))))) & r2_subset_1(k4_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), D, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), D, F)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), D, F), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), C, F))), k8_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, k1_nat_1(A, 1))), C))  &  ( ~ (r1_xxreal_0(D, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, k1_nat_1(A, 1))), D))  &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, F) &  (r1_xxreal_0(F, k1_matrix_0(k1_jordan8(B, k1_nat_1(A, 1)))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), C, F), k8_jordan6(k3_topreal1(2, k1_jordan9(B, k1_nat_1(A, 1))))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), D, E), k9_jordan6(k3_topreal1(2, k1_jordan9(B, k1_nat_1(A, 1))))) & r2_subset_1(k4_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), D, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), D, F)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), D, F), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), C, F))), k9_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, k1_nat_1(A, 1))), C))  &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, k1_matrix_0(k1_jordan8(B, k1_nat_1(A, 1)))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), C, E), k8_jordan6(k3_topreal1(2, k1_jordan9(B, k1_nat_1(A, 1))))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))), D), k9_jordan6(k3_topreal1(2, k1_jordan9(B, k1_nat_1(A, 1))))) & r2_subset_1(k4_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))), D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))), E)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))), E), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), C, E))), k8_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_jordan15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, k1_nat_1(A, 1))), C))  &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, k1_matrix_0(k1_jordan8(B, k1_nat_1(A, 1)))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), C, E), k8_jordan6(k3_topreal1(2, k1_jordan9(B, k1_nat_1(A, 1))))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))), D), k9_jordan6(k3_topreal1(2, k1_jordan9(B, k1_nat_1(A, 1))))) & r2_subset_1(k4_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))), D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))), E)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))), E), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), C, E))), k9_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_jordan16, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ (k9_jordan6(A)=k8_jordan6(A)) ) ) ).
fof(t2_jordan16, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) => r1_tarski(k5_jordan6(A, B, C, D, E), A)) ) ) ) ) ) ) ) ) ) ).
fof(t3_jordan16, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, A) => r2_tarski(D, k3_jordan6(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t4_jordan16, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, A) => r2_tarski(D, k4_jordan6(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t5_jordan16, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (r1_jordan5c(A, B, C, D, E) =>  (r2_tarski(D, k5_jordan6(A, B, C, D, E)) & r2_tarski(E, k5_jordan6(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_jordan16, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) => r1_tarski(k1_jordan7(A, B, C), A)) ) ) ) ) ) ).
fof(t7_jordan16, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(B, A) &  (r2_tarski(C, A) &  ( ~ (r1_jordan6(A, B, C))  &  ~ (r1_jordan6(A, C, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_jordan16, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & m1_pre_topc(C, B))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C))))) )  =>  ( (r1_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(A), u1_struct_0(C), D, E) & v5_pre_topc(D, A, B))  => v5_pre_topc(E, A, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_jordan16, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & m1_pre_topc(C, A))  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & m1_pre_topc(D, B))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v3_tops_2(E, A, B) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(C), u1_struct_0(D)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D))))) )  =>  ( (r1_funct_2(u1_struct_0(C), u1_struct_0(D), u1_struct_0(C), u1_struct_0(B), F, k2_tmap_1(A, B, E, C)) & v2_funct_2(F, u1_struct_0(D)))  => v3_tops_2(F, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_jordan16, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_topreal1(k15_euclid(2), D, E, A) &  (r1_topreal1(k15_euclid(2), D, E, B) &  (r1_topreal1(k15_euclid(2), D, E, C) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), B, C)=k2_tarski(D, E) &  (r1_tarski(A, k4_subset_1(u1_struct_0(k15_euclid(2)), B, C)) &  ( ~ (A=B)  &  ~ (A=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_jordan16, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ( (r1_topreal1(k15_euclid(2), D, E, B) &  (r1_topreal1(k15_euclid(2), D, E, C) &  (r1_tarski(B, A) & r1_tarski(C, A)) ) )  =>  (B=C |  (k4_subset_1(u1_struct_0(k15_euclid(2)), B, C)=A & k9_subset_1(u1_struct_0(k15_euclid(2)), B, C)=k2_tarski(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_jordan16, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_topreal1(k15_euclid(2), C, D, A) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), A, B)=k2_tarski(E, F) & A=B) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_jordan16, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ( (r1_topreal1(k15_euclid(2), D, E, B) &  (r1_topreal1(k15_euclid(2), D, E, C) &  (r1_tarski(B, A) &  (r1_tarski(C, A) & k9_subset_1(u1_struct_0(k15_euclid(2)), B, C)=k2_tarski(D, E)) ) ) )  => k4_subset_1(u1_struct_0(k15_euclid(2)), B, C)=A) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_jordan16, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ( (r1_tarski(B, A) &  (r1_tarski(C, A) &  (r1_topreal1(k15_euclid(2), D, E, B) & r1_topreal1(k15_euclid(2), D, E, C)) ) )  =>  (B=C |  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( (r1_topreal1(k15_euclid(2), D, E, F) &  (r1_tarski(F, A) &  ( ~ (F=B)  &  ~ (F=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_jordan16, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ ( (r1_topreal1(k15_euclid(2), k18_pscomp_1(A), k22_pscomp_1(A), B) &  (r1_tarski(B, A) &  ( ~ (B=k9_jordan6(A))  &  ~ (B=k8_jordan6(A)) ) ) ) ) ) ) ) ) ).
fof(t16_jordan16, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_topreal1(k15_euclid(2), B, C, A) &  (r1_jordan5c(A, B, C, D, E) &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), A))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), A)))))) )  =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ~ ( (v3_tops_2(F, k5_topmetr, k1_pre_topc(k15_euclid(2), A)) &  (k1_funct_1(F, k5_numbers)=B &  (k1_funct_1(F, 1)=C &  (k1_funct_1(F, G)=D &  (k1_funct_1(F, H)=E &  (r1_xxreal_0(k5_numbers, G) &  (r1_xxreal_0(G, H) & r1_xxreal_0(H, 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_jordan16, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_topreal1(k15_euclid(2), B, C, A) &  (r1_jordan5c(A, B, C, D, E) &  ( ~ (D=E)  &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), A))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), A)))))) )  =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ~ ( (v3_tops_2(F, k5_topmetr, k1_pre_topc(k15_euclid(2), A)) &  (k1_funct_1(F, k5_numbers)=B &  (k1_funct_1(F, 1)=C &  (k1_funct_1(F, G)=D &  (k1_funct_1(F, H)=E &  (r1_xxreal_0(k5_numbers, G) &  ( ~ (r1_xxreal_0(H, G))  & r1_xxreal_0(H, 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_jordan16, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_jordan5c(A, B, C, D, E) & v1_xboole_0(k5_jordan6(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_jordan16, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, A) =>  (r2_tarski(B, k1_jordan7(A, B, k18_pscomp_1(A))) & r2_tarski(k18_pscomp_1(A), k1_jordan7(A, B, k18_pscomp_1(A)))) ) ) ) ) ) ).
fof(t20_jordan16, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k3_topmetr), u1_struct_0(k3_topmetr)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_topmetr), u1_struct_0(k3_topmetr))))) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (r1_funct_2(u1_struct_0(k3_topmetr), u1_struct_0(k3_topmetr), k1_numbers, k1_numbers, A, k1_fcont_1(B, C)) =>  (B=k5_numbers | v3_tops_2(A, k3_topmetr, k3_topmetr)) ) ) ) ) ) ) ) ).
fof(t21_jordan16, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ( (r1_topreal1(k15_euclid(2), B, C, A) & r1_jordan5c(A, B, C, D, E))  =>  (D=E | r1_topreal1(k15_euclid(2), D, E, k5_jordan6(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_jordan16, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( (r1_tarski(D, A) &  (r1_topreal1(k15_euclid(2), B, C, D) &  (r2_tarski(k18_pscomp_1(A), D) &  (r2_tarski(k22_pscomp_1(A), D) &  ( ~ (r1_tarski(k8_jordan6(A), D))  &  ~ (r1_tarski(k9_jordan6(A), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_jordan16, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_topreal1(k15_euclid(2), B, C, A) &  (r2_tarski(D, A) &  (r2_tarski(E, A) &  ( ~ (D=B)  &  ( ~ (D=C)  &  ( ~ (E=B)  &  ( ~ (E=C)  &  ( ~ (D=E)  &  (! [F] :  ( ( ~ (v1_xboole_0(F))  & m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ ( (r1_topreal1(k15_euclid(2), D, E, F) &  (r1_tarski(F, A) & r1_subset_1(F, k2_tarski(B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_jordan16, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r1_topreal1(k15_euclid(2), B, C, A) & r2_tarski(D, A))  =>  (B=D | r1_topreal1(k15_euclid(2), B, D, k5_jordan6(A, B, C, B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t1_jordan17, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  ~ ( (r2_hidden(B, E) &  (r1_topreal1(k15_euclid(A), C, D, E) &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k17_borsuk_1), u1_struct_0(k1_pre_topc(k15_euclid(A), E))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_borsuk_1), u1_struct_0(k1_pre_topc(k15_euclid(A), E)))))) )  =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( (v3_tops_2(F, k17_borsuk_1, k1_pre_topc(k15_euclid(A), E)) &  (k1_funct_1(F, k5_numbers)=C &  (k1_funct_1(F, 1)=D &  (r1_xxreal_0(k5_numbers, G) &  (r1_xxreal_0(G, 1) & k1_funct_1(F, G)=B) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_jordan17, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => r1_jordan6(A, k18_pscomp_1(A), k22_pscomp_1(A))) ) ).
fof(t3_jordan17, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r1_jordan6(A, B, k22_pscomp_1(A)) => r2_hidden(B, k8_jordan6(A))) ) ) ) ) ).
fof(t4_jordan17, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r1_jordan6(A, k22_pscomp_1(A), B) => r2_hidden(B, k9_jordan6(A))) ) ) ) ) ).
fof(t5_jordan17, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r1_jordan6(A, B, k18_pscomp_1(A)) => r2_hidden(B, k9_jordan6(A))) ) ) ) ) ).
fof(t6_jordan17, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( ( ~ (A=B)  &  (r1_topreal1(k15_euclid(2), C, D, E) &  (r1_jordan5c(E, C, D, A, B) &  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (A=F)  &  ( ~ (B=F)  &  (r1_jordan5c(E, C, D, A, F) & r1_jordan5c(E, C, D, F, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_jordan17, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_hidden(B, A) &  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (B=C)  & r1_jordan6(A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t8_jordan17, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (B=C)  &  (r1_jordan6(A, B, C) &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (D=B)  &  ( ~ (D=C)  &  (r1_jordan6(A, B, D) & r1_jordan6(A, D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_jordan17, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (r1_jordan17(A, B, C, D, E) <=>  ~ ( ( ~ ( (r1_jordan6(A, B, C) &  (r1_jordan6(A, C, D) & r1_jordan6(A, D, E)) ) )  &  ( ~ ( (r1_jordan6(A, C, D) &  (r1_jordan6(A, D, E) & r1_jordan6(A, E, B)) ) )  &  ( ~ ( (r1_jordan6(A, D, E) &  (r1_jordan6(A, E, B) & r1_jordan6(A, B, C)) ) )  &  ~ ( (r1_jordan6(A, E, B) &  (r1_jordan6(A, B, C) & r1_jordan6(A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_jordan17, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_hidden(B, A) => r1_jordan17(A, B, B, B, B)) ) ) ) ) ).
fof(t10_jordan17, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (r1_jordan17(A, B, C, D, E) => r1_jordan17(A, C, D, E, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_jordan17, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (r1_jordan17(A, B, C, D, E) => r1_jordan17(A, D, E, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_jordan17, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (r1_jordan17(A, B, C, D, E) => r1_jordan17(A, E, B, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_jordan17, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (B=C)  &  (r1_jordan17(A, B, C, D, E) &  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (F=B)  &  ( ~ (F=C)  & r1_jordan17(A, B, F, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_jordan17, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (B=C)  &  (r1_jordan17(A, B, C, D, E) &  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (F=B)  &  ( ~ (F=C)  & r1_jordan17(A, B, F, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_jordan17, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (C=D)  &  (r1_jordan17(A, B, C, D, E) &  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (F=C)  &  ( ~ (F=D)  & r1_jordan17(A, B, C, F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_jordan17, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (C=D)  &  (r1_jordan17(A, B, C, D, E) &  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (F=C)  &  ( ~ (F=D)  & r1_jordan17(A, C, F, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_jordan17, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (D=E)  &  (r1_jordan17(A, B, C, D, E) &  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (F=D)  &  ( ~ (F=E)  & r1_jordan17(A, B, D, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_jordan17, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (D=E)  &  (r1_jordan17(A, B, C, D, E) &  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (F=D)  &  ( ~ (F=E)  & r1_jordan17(A, C, D, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_jordan17, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (E=B)  &  (r1_jordan17(A, B, C, D, E) &  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (F=E)  &  ( ~ (F=B)  & r1_jordan17(A, B, C, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_jordan17, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (E=B)  &  (r1_jordan17(A, B, C, D, E) &  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (F=E)  &  ( ~ (F=B)  & r1_jordan17(A, B, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_jordan17, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ( (r1_jordan17(A, B, C, D, E) & r1_jordan17(A, C, B, D, E))  =>  (B=D |  (B=E |  (C=E | B=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_jordan17, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ( (r1_jordan17(A, B, C, D, E) & r1_jordan17(A, D, C, B, E))  =>  (B=C |  (C=D |  (D=E | B=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_jordan17, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ( (r1_jordan17(A, B, C, D, E) & r1_jordan17(A, E, C, D, B))  =>  (B=C |  (B=D |  (C=E | B=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_jordan17, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ( (r1_jordan17(A, B, C, D, E) & r1_jordan17(A, B, D, C, E))  =>  (B=D |  (B=E |  (C=E | C=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_jordan17, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ( (r1_jordan17(A, B, C, D, E) & r1_jordan17(A, B, E, D, C))  =>  (B=C |  (C=D |  (D=E | C=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_jordan17, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ( (r1_jordan17(A, B, C, D, E) & r1_jordan17(A, B, C, E, D))  =>  (B=C |  (B=D |  (C=E | D=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_jordan17, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_hidden(B, A) &  (r2_hidden(C, A) &  (r2_hidden(D, A) &  (r2_hidden(E, A) &  ( ~ (r1_jordan17(A, B, C, D, E))  &  ( ~ (r1_jordan17(A, B, C, E, D))  &  ( ~ (r1_jordan17(A, B, D, C, E))  &  ( ~ (r1_jordan17(A, B, D, E, C))  &  ( ~ (r1_jordan17(A, B, E, C, D))  &  ~ (r1_jordan17(A, B, E, D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_jordan18, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  ~ (v1_xboole_0(k7_relat_1(k5_pscomp_1, k4_topreal1(A)))) ) ) ).
fof(fc2_jordan18, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  ~ (v1_xboole_0(k7_relat_1(k5_pscomp_1, k6_topreal1(A)))) ) ) ).
fof(fc3_jordan18, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  ~ (v1_xboole_0(k7_relat_1(k4_pscomp_1, k7_topreal1(A)))) ) ) ).
fof(fc4_jordan18, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  ~ (v1_xboole_0(k7_relat_1(k4_pscomp_1, k5_topreal1(A)))) ) ) ).
fof(fc5_jordan18, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => v4_pre_topc(k4_topreal1(A), k15_euclid(2))) ) ).
fof(fc6_jordan18, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => v4_pre_topc(k6_topreal1(A), k15_euclid(2))) ) ).
fof(fc7_jordan18, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => v4_pre_topc(k5_topreal1(A), k15_euclid(2))) ) ).
fof(fc8_jordan18, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => v4_pre_topc(k7_topreal1(A), k15_euclid(2))) ) ).
fof(t1_jordan18, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_square_1(k6_xcmplx_0(A, B))=k1_square_1(k6_xcmplx_0(B, A))) ) ) ) ).
fof(t2_jordan18, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_pre_topc(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  ( (v3_tops_2(C, A, B) & v2_compts_1(D, B))  => v2_compts_1(k8_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), A)) ) ) ) ) ) ) ) ) ).
fof(t3_jordan18, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => v3_xxreal_2(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k4_topreal1(A)))) ) ).
fof(t4_jordan18, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => v4_xxreal_2(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k6_topreal1(A)))) ) ).
fof(t5_jordan18, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => v4_xxreal_2(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k4_pscomp_1, k7_topreal1(A)))) ) ).
fof(t6_jordan18, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => v3_xxreal_2(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k4_pscomp_1, k5_topreal1(A)))) ) ).
fof(t7_jordan18, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => k3_seq_4(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k4_topreal1(A)))=k18_euclid(A)) ) ).
fof(t8_jordan18, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => k2_seq_4(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k6_topreal1(A)))=k18_euclid(A)) ) ).
fof(t9_jordan18, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => k2_seq_4(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k4_pscomp_1, k7_topreal1(A)))=k17_euclid(A)) ) ).
fof(t10_jordan18, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => k3_seq_4(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k4_pscomp_1, k5_topreal1(A)))=k17_euclid(A)) ) ).
fof(t11_jordan18, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(B, k1_jordan2c(2, A)) & r1_tarski(k4_topreal1(B), k2_jordan2c(2, A))) ) ) ) ) ) ).
fof(t12_jordan18, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(B, k1_jordan2c(2, A)) & r1_tarski(k6_topreal1(B), k2_jordan2c(2, A))) ) ) ) ) ) ).
fof(t13_jordan18, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(B, k1_jordan2c(2, A)) & r1_tarski(k5_topreal1(B), k2_jordan2c(2, A))) ) ) ) ) ) ).
fof(t14_jordan18, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(B, k1_jordan2c(2, A)) & r1_tarski(k7_topreal1(B), k2_jordan2c(2, A))) ) ) ) ) ) ).
fof(t15_jordan18, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_topreal1(k15_euclid(2), C, D, B) &  (r1_tarski(B, A) &  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ ( (r1_topreal1(k15_euclid(2), C, D, E) &  (k4_subset_1(u1_struct_0(k15_euclid(2)), B, E)=A & k9_subset_1(u1_struct_0(k15_euclid(2)), B, E)=k2_tarski(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_jordan18, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k1_jordan18(A, B)=k19_euclid(k17_euclid(A), k3_seq_4(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k9_subset_1(u1_struct_0(k15_euclid(2)), B, k4_topreal1(A)))))) ) ) ) ).
fof(d2_jordan18, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k2_jordan18(A, B)=k19_euclid(k17_euclid(A), k2_seq_4(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k9_subset_1(u1_struct_0(k15_euclid(2)), B, k6_topreal1(A)))))) ) ) ) ).
fof(t16_jordan18, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (k17_euclid(k1_jordan18(B, A))=k17_euclid(B) & k17_euclid(k2_jordan18(B, A))=k17_euclid(B)) ) ) ) ) ).
fof(t17_jordan18, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (r2_tarski(A, k1_jordan2c(2, B)) =>  (r2_tarski(k1_jordan18(A, B), B) &  (r2_tarski(k1_jordan18(A, B), k4_topreal1(A)) &  (r2_tarski(k2_jordan18(A, B), B) & r2_tarski(k2_jordan18(A, B), k6_topreal1(A))) ) ) ) ) ) ) ) ).
fof(t18_jordan18, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (r2_tarski(A, k1_jordan2c(2, B)) =>  ( ~ (r1_xxreal_0(k18_euclid(A), k18_euclid(k2_jordan18(A, B))))  &  ~ (r1_xxreal_0(k18_euclid(k1_jordan18(A, B)), k18_euclid(A))) ) ) ) ) ) ) ).
fof(t19_jordan18, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ ( (r2_tarski(A, k1_jordan2c(2, B)) & r1_xxreal_0(k3_seq_4(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k9_subset_1(u1_struct_0(k15_euclid(2)), B, k4_topreal1(A)))), k2_seq_4(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k9_subset_1(u1_struct_0(k15_euclid(2)), B, k6_topreal1(A)))))) ) ) ) ) ) ).
fof(t20_jordan18, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ ( (r2_tarski(A, k1_jordan2c(2, B)) & k2_jordan18(A, B)=k1_jordan18(A, B)) ) ) ) ) ) ).
fof(t21_jordan18, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => v2_sppol_1(k1_rltopsp1(k15_euclid(2), k1_jordan18(A, B), k2_jordan18(A, B)))) ) ) ) ).
fof(t22_jordan18, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (r2_tarski(A, k1_jordan2c(2, B)) => k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k1_jordan18(A, B), k2_jordan18(A, B)), B)=k2_tarski(k1_jordan18(A, B), k2_jordan18(A, B))) ) ) ) ) ).
fof(t23_jordan18, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( (v2_compts_1(C, k15_euclid(2)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ( (r2_tarski(A, k1_jordan2c(2, C)) & r2_tarski(B, k1_jordan2c(2, C)))  =>  (k17_euclid(A)=k17_euclid(B) | r2_zfmisc_1(k1_jordan18(A, C), k2_jordan18(B, C), k1_jordan18(B, C), k2_jordan18(A, C))) ) ) ) ) ) ) ) ).
fof(d3_jordan18, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(A))) =>  (r1_jordan18(A, B, C, D, E, F) <=>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  ~ ( (r1_topreal1(k15_euclid(A), C, D, G) &  (r1_tarski(G, B) & r1_xboole_0(G, k2_tarski(E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_jordan18, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) => r1_jordan18(A, B, E, E, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t25_jordan18, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(A))) =>  (r1_jordan18(A, B, C, D, E, F) => r1_jordan18(A, B, D, C, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_jordan18, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(A))) =>  (r1_jordan18(A, B, C, D, E, F) => r1_jordan18(A, B, C, D, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_jordan18, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) => r1_jordan18(A, B, C, D, C, E)) ) ) ) ) ) ) ) ) ) ).
fof(t28_jordan18, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) => r1_jordan18(A, B, D, C, E, C)) ) ) ) ) ) ) ) ) ) ).
fof(t29_jordan18, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) => r1_jordan18(A, B, D, C, C, E)) ) ) ) ) ) ) ) ) ) ).
fof(t30_jordan18, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) => r1_jordan18(A, B, C, D, E, C)) ) ) ) ) ) ) ) ) ) ).
fof(t31_jordan18, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(D, A) &  (r2_tarski(B, A) &  (r2_tarski(C, A) &  ( ~ (B=C)  &  ( ~ (B=D)  &  ( ~ (C=D)  & r1_jordan18(2, A, B, C, D, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_jordan18, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(B, A) &  (r2_tarski(C, A) & r1_jordan18(2, A, B, C, D, E)) )  =>  (B=C | r1_jordan18(2, A, D, E, B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_jordan18, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(B, A) &  (r2_tarski(C, A) &  (r2_tarski(D, A) &  ( ~ (B=C)  &  ( ~ (D=B)  &  ( ~ (D=C)  &  ( ~ (E=B)  &  ( ~ (E=C)  &  (r1_jordan18(2, A, B, C, D, E) & r1_jordan18(2, A, B, D, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_jordan18, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k15_euclid(2))) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => m1_subset_1(k1_jordan18(A, B), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k2_jordan18, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k15_euclid(2))) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => m1_subset_1(k2_jordan18(A, B), u1_struct_0(k15_euclid(2)))) ) ).
fof(d1_jordan19, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2))))))) )  =>  (B=k1_jordan19(A) <=>  (! [C] :  (v7_ordinal1(C) => k1_funct_1(B, C)=k8_jordan6(k3_topreal1(2, k1_jordan9(A, C)))) ) ) ) ) ) ) ).
fof(d2_jordan19, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2))))))) )  =>  (B=k2_jordan19(A) <=>  (! [C] :  (v7_ordinal1(C) => k1_funct_1(B, C)=k9_jordan6(k3_topreal1(2, k1_jordan9(A, C)))) ) ) ) ) ) ) ).
fof(d3_jordan19, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => k3_jordan19(A)=k1_kurato_2(k15_euclid(2), k1_jordan19(A))) ) ).
fof(d4_jordan19, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => k4_jordan19(A)=k1_kurato_2(k15_euclid(2), k2_jordan19(A))) ) ).
fof(t1_jordan19, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(A, B) =>  (A=k5_numbers | r1_xxreal_0(k7_xcmplx_0(k1_nat_1(B, 1), B), k7_xcmplx_0(k1_nat_1(A, 1), A))) ) ) ) ) ) ).
fof(t2_jordan19, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, A) &  (r1_xxreal_0(1, D) & r1_xxreal_0(D, k1_matrix_0(k1_jordan8(B, A)))) ) )  => r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), k1_jordan1a(k1_jordan8(B, A)), k1_matrix_0(k1_jordan8(B, A))), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), k1_jordan1a(k1_jordan8(B, A)), D)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, C), k1_jordan1a(k1_jordan8(B, C)), k1_matrix_0(k1_jordan8(B, C))), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), k1_jordan1a(k1_jordan8(B, A)), D)))) ) ) ) ) ) ) ) ) ).
fof(t3_jordan19, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(k1_jordan8(B, A))) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k1_matrix_0(k1_jordan8(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_topreal1(2, k1_jordan9(B, A))) & r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, k1_matrix_0(k1_jordan8(B, A))), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D)), k3_topreal1(2, k1_jordan1e(B, A)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_jordan19, axiom,  (! [A] :  ( (v2_connsp_1(A, k15_euclid(2)) &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(k1_jordan8(A, B))) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k1_matrix_0(k1_jordan8(A, B))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), C, D), k3_topreal1(2, k1_jordan9(A, B))) & r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), C, k1_matrix_0(k1_jordan8(A, B))), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), C, D)), k8_jordan6(k3_topreal1(2, k1_jordan9(A, B))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_jordan19, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))), C), k9_jordan6(k3_topreal1(2, k1_jordan9(B, k1_nat_1(A, 1))))) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(k1_jordan8(B, k1_nat_1(A, 1)))) & r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, 1), k1_jordan1a(k1_jordan8(B, 1)), k1_matrix_0(k1_jordan8(B, 1))), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))), C)), k8_jordan6(k3_topreal1(2, k1_jordan9(B, k1_nat_1(A, 1)))))) ) ) ) ) ) ) ) ) ) ).
fof(t6_jordan19, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(k1_nat_1(D, 1), k3_finseq_1(C)) &  (r1_goboard1(u1_struct_0(k15_euclid(2)), C, k1_jordan8(B, A)) &  ( ~ (k1_topreal6(2, k7_partfun1(u1_struct_0(k15_euclid(2)), C, D), k7_partfun1(u1_struct_0(k15_euclid(2)), C, k1_nat_1(D, 1)))=k7_xcmplx_0(k6_xcmplx_0(k7_pscomp_1(B), k9_pscomp_1(B)), k1_newton(2, A)))  &  ~ (k1_topreal6(2, k7_partfun1(u1_struct_0(k15_euclid(2)), C, D), k7_partfun1(u1_struct_0(k15_euclid(2)), C, k1_nat_1(D, 1)))=k7_xcmplx_0(k6_xcmplx_0(k8_pscomp_1(B), k6_pscomp_1(B)), k1_newton(2, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_jordan19, axiom,  (! [A] :  ( (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_tarski(C, k8_metric_1(A, E, B)) &  (r2_tarski(D, k8_metric_1(A, E, B)) & r1_xxreal_0(k3_xcmplx_0(2, B), k3_metric_1(A, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_jordan19, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  ~ (r1_xxreal_0(k7_pscomp_1(k3_topreal1(2, k1_jordan9(B, A))), k7_pscomp_1(B))) ) ) ) ) ).
fof(t9_jordan19, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  ~ (r1_xxreal_0(k8_pscomp_1(k3_topreal1(2, k1_jordan9(B, A))), k8_pscomp_1(B))) ) ) ) ) ).
fof(t10_jordan19, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  ~ (r1_xxreal_0(k9_pscomp_1(B), k9_pscomp_1(k3_topreal1(2, k1_jordan9(B, A))))) ) ) ) ) ).
fof(t11_jordan19, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  ~ (r1_xxreal_0(k6_pscomp_1(B), k6_pscomp_1(k3_topreal1(2, k1_jordan9(B, A))))) ) ) ) ) ).
fof(t12_jordan19, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), C))  &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, D) &  (r1_xxreal_0(D, k1_matrix_0(k1_jordan8(B, A))) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D)), k3_topreal1(2, k1_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D)), k3_topreal1(2, k2_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D)) & r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D)), k8_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_jordan19, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), C))  &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, D) &  (r1_xxreal_0(D, k1_matrix_0(k1_jordan8(B, A))) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D)), k3_topreal1(2, k1_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D)), k3_topreal1(2, k2_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D)) & r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D)), k9_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_jordan19, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), C))  &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, k1_matrix_0(k1_jordan8(B, A))) &  ( ~ (r1_xxreal_0(A, k5_numbers))  &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)), k9_jordan6(k3_topreal1(2, k1_jordan9(B, A))))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)), k8_jordan6(k3_topreal1(2, k1_jordan9(B, A))))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D)) & r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)), k8_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_jordan19, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), C))  &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, k1_matrix_0(k1_jordan8(B, A))) &  ( ~ (r1_xxreal_0(A, k5_numbers))  &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)), k9_jordan6(k3_topreal1(2, k1_jordan9(B, A))))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)), k8_jordan6(k3_topreal1(2, k1_jordan9(B, A))))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D)) & r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)), k9_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_jordan19, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), C))  &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, k1_matrix_0(k1_jordan8(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_topreal1(2, k2_jordan1e(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_topreal1(2, k1_jordan1e(B, A))) & r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)), k8_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_jordan19, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), C))  &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, k1_matrix_0(k1_jordan8(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_topreal1(2, k2_jordan1e(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_topreal1(2, k1_jordan1e(B, A))) & r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)), k9_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_jordan19, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), C))  &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, k1_matrix_0(k1_jordan8(B, A))) &  ( ~ (r1_xxreal_0(A, k5_numbers))  &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k9_jordan6(k3_topreal1(2, k1_jordan9(B, A)))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k8_jordan6(k3_topreal1(2, k1_jordan9(B, A)))) & r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)), k8_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_jordan19, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), C))  &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, k1_matrix_0(k1_jordan8(B, A))) &  ( ~ (r1_xxreal_0(A, k5_numbers))  &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k9_jordan6(k3_topreal1(2, k1_jordan9(B, A)))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k8_jordan6(k3_topreal1(2, k1_jordan9(B, A)))) & r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)), k9_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_jordan19, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  (r1_xxreal_0(C, D) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), D))  &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, F) &  (r1_xxreal_0(F, k1_matrix_0(k1_jordan8(B, A))) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k4_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, F))), k3_topreal1(2, k1_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k4_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, F))), k3_topreal1(2, k2_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, F)) & r2_subset_1(k4_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, F))), k8_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_jordan19, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  (r1_xxreal_0(C, D) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), D))  &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, F) &  (r1_xxreal_0(F, k1_matrix_0(k1_jordan8(B, A))) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k4_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, F))), k3_topreal1(2, k1_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k4_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, F))), k3_topreal1(2, k2_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, F)) & r2_subset_1(k4_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, F))), k9_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_jordan19, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ~ ( ( ~ (r1_xxreal_0(D, 1))  &  (r1_xxreal_0(D, C) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), C))  &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, F) &  (r1_xxreal_0(F, k1_matrix_0(k1_jordan8(B, A))) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k4_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, F))), k3_topreal1(2, k1_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k4_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, F))), k3_topreal1(2, k2_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, F)) & r2_subset_1(k4_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, F))), k8_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_jordan19, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ~ ( ( ~ (r1_xxreal_0(D, 1))  &  (r1_xxreal_0(D, C) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), C))  &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, F) &  (r1_xxreal_0(F, k1_matrix_0(k1_jordan8(B, A))) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k4_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, F))), k3_topreal1(2, k1_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k4_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, F))), k3_topreal1(2, k2_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, F)) & r2_subset_1(k4_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, F), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, F))), k9_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_jordan19, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, k1_nat_1(A, 1))), C))  &  ( ~ (r1_xxreal_0(D, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, k1_nat_1(A, 1))), D))  &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, F) &  (r1_xxreal_0(F, k1_matrix_0(k1_jordan8(B, k1_nat_1(A, 1)))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), C, F), k9_jordan6(k3_topreal1(2, k1_jordan9(B, k1_nat_1(A, 1))))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), D, E), k8_jordan6(k3_topreal1(2, k1_jordan9(B, k1_nat_1(A, 1))))) & r2_subset_1(k4_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), D, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), D, F)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), D, F), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), C, F))), k9_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_jordan19, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, k1_nat_1(A, 1))), C))  &  ( ~ (r1_xxreal_0(D, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, k1_nat_1(A, 1))), D))  &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, F) &  (r1_xxreal_0(F, k1_matrix_0(k1_jordan8(B, k1_nat_1(A, 1)))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), C, F), k9_jordan6(k3_topreal1(2, k1_jordan9(B, k1_nat_1(A, 1))))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), D, E), k8_jordan6(k3_topreal1(2, k1_jordan9(B, k1_nat_1(A, 1))))) & r2_subset_1(k4_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), D, E), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), D, F)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), D, F), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), C, F))), k8_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_jordan19, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_xxreal_0(k17_euclid(B), k6_pscomp_1(A)))  &  ( ~ (r1_xxreal_0(k8_pscomp_1(A), k17_euclid(B)))  &  (r2_tarski(B, k3_jordan19(A)) & r2_tarski(B, k4_jordan19(A))) ) ) ) ) ) ) ) ).
fof(t27_jordan19, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ~ ( (k17_euclid(B)=k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2) &  (r2_tarski(B, k3_jordan19(A)) & r2_tarski(B, k4_jordan19(A))) ) ) ) ) ) ) ).
fof(dt_k1_jordan19, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (v1_funct_1(k1_jordan19(A)) &  (v1_funct_2(k1_jordan19(A), k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(k1_jordan19(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2))))))) ) ) ) ).
fof(dt_k2_jordan19, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (v1_funct_1(k2_jordan19(A)) &  (v1_funct_2(k2_jordan19(A), k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(k2_jordan19(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2))))))) ) ) ) ).
fof(dt_k3_jordan19, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => m1_subset_1(k3_jordan19(A), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k4_jordan19, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => m1_subset_1(k4_jordan19(A), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(rc1_jordan1a, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  ( ~ (v1_xboole_0(A))  &  (v1_topreal2(A) &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ~ (v2_sppol_1(A)) ) ) ) ) ) ) ).
fof(d1_jordan1a, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k1_jordan1a(A)=k1_nat_1(k3_nat_d(k3_finseq_1(A), 2), 1)) ) ).
fof(t1_jordan1a, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  ( ~ (v1_abian(k3_finseq_1(A)))  => k3_finseq_1(A)=k6_xcmplx_0(k3_xcmplx_0(2, k1_jordan1a(A)), 1)) ) ) ).
fof(t2_jordan1a, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_abian(k3_finseq_1(A)) => k3_finseq_1(A)=k6_xcmplx_0(k3_xcmplx_0(2, k1_jordan1a(A)), 2)) ) ) ).
fof(t3_jordan1a, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k15_pscomp_1(A)) => k18_euclid(B)=k7_pscomp_1(A)) ) ) ) ) ).
fof(t4_jordan1a, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k16_pscomp_1(A)) => k17_euclid(B)=k8_pscomp_1(A)) ) ) ) ) ).
fof(t5_jordan1a, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k17_pscomp_1(A)) => k18_euclid(B)=k9_pscomp_1(A)) ) ) ) ) ).
fof(t6_jordan1a, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k14_pscomp_1(A)) => k17_euclid(B)=k6_pscomp_1(A)) ) ) ) ) ).
fof(t7_jordan1a, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => r1_xboole_0(k1_jordan2c(2, A), A)) ) ).
fof(t8_jordan1a, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => r2_tarski(A, k6_jordan6(k17_euclid(A)))) ) ).
fof(t9_jordan1a, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => r2_tarski(k19_euclid(A, B), k6_jordan6(A))) ) ) ) ).
fof(t10_jordan1a, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (r1_tarski(B, k6_jordan6(A)) => v2_sppol_1(B)) ) ) ) ) ).
fof(t11_jordan1a, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v1_xreal_0(C) =>  ( (k17_euclid(A)=k17_euclid(B) & r2_hidden(C, k1_rcomp_1(k3_funct_2(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, A), k3_funct_2(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, B))))  => r2_tarski(k19_euclid(k17_euclid(A), C), k1_rltopsp1(k15_euclid(2), A, B))) ) ) ) ) ) ) ).
fof(t12_jordan1a, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v1_xreal_0(C) =>  ( (k18_euclid(A)=k18_euclid(B) & r2_hidden(C, k1_rcomp_1(k3_funct_2(u1_struct_0(k15_euclid(2)), k1_numbers, k4_pscomp_1, A), k3_funct_2(u1_struct_0(k15_euclid(2)), k1_numbers, k4_pscomp_1, B))))  => r2_tarski(k19_euclid(C, k18_euclid(A)), k1_rltopsp1(k15_euclid(2), A, B))) ) ) ) ) ) ) ).
fof(t13_jordan1a, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r2_tarski(A, k6_jordan6(C)) & r2_tarski(B, k6_jordan6(C)))  => r1_tarski(k1_rltopsp1(k15_euclid(2), A, B), k6_jordan6(C))) ) ) ) ) ) ) ).
fof(t14_jordan1a, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( ( ~ (r1_xboole_0(A, B))  & r1_xboole_0(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, A), k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, B))) ) ) ) ) ) ).
fof(t15_jordan1a, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (r1_xboole_0(B, C) &  (r1_tarski(B, k6_jordan6(A)) & r1_tarski(C, k6_jordan6(A))) )  => r1_xboole_0(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, B), k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, C))) ) ) ) ) ) ) ).
fof(t16_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, k3_finseq_1(C)) &  (r1_xxreal_0(1, B) & r1_xxreal_0(B, k1_matrix_0(C))) ) )  => r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, B), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, k1_matrix_0(C))))) ) ) ) ) ) ) ).
fof(t17_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, k3_finseq_1(C)) &  (r1_xxreal_0(1, B) & r1_xxreal_0(B, k1_matrix_0(C))) ) )  => r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, B), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, 1, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k3_finseq_1(C), B)))) ) ) ) ) ) ) ).
fof(t18_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(E)) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k1_matrix_0(E)) &  (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, B) & r1_xxreal_0(B, k3_finseq_1(E))) ) ) ) ) )  => r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, C)), k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), E, B, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, k3_finseq_1(E)) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k3_finseq_1(E)) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, D) & r1_xxreal_0(D, k1_matrix_0(E))) ) ) ) ) )  => r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, C)), k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), E, B, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  ( ~ (v3_funct_1(C))  &  (v1_finseq_6(C, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(C) &  (v2_topreal1(C) &  (v1_goboard5(C) &  (v2_goboard5(C) & m2_finseq_1(C, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ( (r1_goboard1(u1_struct_0(k15_euclid(2)), C, B) &  (r1_xxreal_0(1, A) & r1_xxreal_0(A, k3_finseq_1(B))) )  => r1_xxreal_0(k7_pscomp_1(k3_topreal1(2, C)), k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, A, k1_matrix_0(B))))) ) ) ) ) ) ) ).
fof(t21_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  ( ~ (v3_funct_1(C))  &  (v1_finseq_6(C, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(C) &  (v2_topreal1(C) &  (v1_goboard5(C) &  (v2_goboard5(C) & m2_finseq_1(C, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ( (r1_goboard1(u1_struct_0(k15_euclid(2)), C, B) &  (r1_xxreal_0(1, A) & r1_xxreal_0(A, k1_matrix_0(B))) )  => r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, A)), k6_pscomp_1(k3_topreal1(2, C)))) ) ) ) ) ) ) ).
fof(t22_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  ( ~ (v3_funct_1(C))  &  (v1_finseq_6(C, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(C) &  (v2_topreal1(C) &  (v1_goboard5(C) &  (v2_goboard5(C) & m2_finseq_1(C, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ( (r1_goboard1(u1_struct_0(k15_euclid(2)), C, B) &  (r1_xxreal_0(1, A) & r1_xxreal_0(A, k3_finseq_1(B))) )  => r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, A, 1)), k9_pscomp_1(k3_topreal1(2, C)))) ) ) ) ) ) ) ).
fof(t23_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  ( ~ (v3_funct_1(C))  &  (v1_finseq_6(C, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(C) &  (v2_topreal1(C) &  (v1_goboard5(C) &  (v2_goboard5(C) & m2_finseq_1(C, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ( (r1_goboard1(u1_struct_0(k15_euclid(2)), C, B) &  (r1_xxreal_0(1, A) & r1_xxreal_0(A, k1_matrix_0(B))) )  => r1_xxreal_0(k8_pscomp_1(k3_topreal1(2, C)), k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B), A)))) ) ) ) ) ) ) ).
fof(t24_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ~ ( (r1_xxreal_0(A, k3_finseq_1(C)) &  (r1_xxreal_0(B, k1_matrix_0(C)) & v1_xboole_0(k3_goboard5(C, A, B))) ) ) ) ) ) ) ) ) ).
fof(t25_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(A, k3_finseq_1(C)) & r1_xxreal_0(B, k1_matrix_0(C)))  => v2_connsp_1(k3_goboard5(C, A, B), k15_euclid(2))) ) ) ) ) ) ) ).
fof(t26_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ~ ( (r1_xxreal_0(A, k3_finseq_1(B)) & v9_rltopsp1(k3_goboard5(B, A, k5_numbers), k15_euclid(2))) ) ) ) ) ) ).
fof(t27_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ~ ( (r1_xxreal_0(A, k3_finseq_1(B)) & v9_rltopsp1(k3_goboard5(B, A, k1_matrix_0(B)), k15_euclid(2))) ) ) ) ) ) ).
fof(t28_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => k1_matrix_0(k1_jordan8(B, A))=k1_nat_1(k1_newton(2, A), 3)) ) ) ) ).
fof(t29_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ ( ( ~ (r1_xxreal_0(B, A))  & r1_xxreal_0(k3_finseq_1(k1_jordan8(C, B)), k3_finseq_1(k1_jordan8(C, A)))) ) ) ) ) ) ) ) ).
fof(t30_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (r1_xxreal_0(A, B) => r1_xxreal_0(k3_finseq_1(k1_jordan8(C, A)), k3_finseq_1(k1_jordan8(C, B)))) ) ) ) ) ) ) ).
fof(t31_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (r1_xxreal_0(B, C) =>  (r1_xxreal_0(A, 1) |  (r1_xxreal_0(k3_finseq_1(k1_jordan8(D, B)), A) |  ( ~ (r1_xxreal_0(k2_xcmplx_0(k3_xcmplx_0(k11_newton(2, k7_nat_d(C, B)), k6_xcmplx_0(A, 2)), 2), 1))  &  ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(D, C)), k2_xcmplx_0(k3_xcmplx_0(k11_newton(2, k7_nat_d(C, B)), k6_xcmplx_0(A, 2)), 2))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (r1_xxreal_0(B, C) =>  (r1_xxreal_0(A, 1) |  (r1_xxreal_0(k1_matrix_0(k1_jordan8(D, B)), A) |  ( ~ (r1_xxreal_0(k2_xcmplx_0(k3_xcmplx_0(k11_newton(2, k7_nat_d(C, B)), k6_xcmplx_0(A, 2)), 2), 1))  &  ~ (r1_xxreal_0(k1_matrix_0(k1_jordan8(D, C)), k2_xcmplx_0(k3_xcmplx_0(k11_newton(2, k7_nat_d(C, B)), k6_xcmplx_0(A, 2)), 2))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (r1_xxreal_0(C, D) =>  (r1_xxreal_0(A, 1) |  (r1_xxreal_0(k3_finseq_1(k1_jordan8(E, C)), A) |  (r1_xxreal_0(B, 1) |  (r1_xxreal_0(k1_matrix_0(k1_jordan8(E, C)), B) |  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ( (F=k2_xcmplx_0(k3_xcmplx_0(k11_newton(2, k7_nat_d(D, C)), k6_xcmplx_0(A, 2)), 2) & G=k2_xcmplx_0(k3_xcmplx_0(k11_newton(2, k7_nat_d(D, C)), k6_xcmplx_0(B, 2)), 2))  => k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(E, C), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(E, D), F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (r1_xxreal_0(B, C) =>  (r1_xxreal_0(A, 1) |  (r1_xxreal_0(k3_finseq_1(k1_jordan8(D, B)), k1_nat_1(A, 1)) |  ( ~ (r1_xxreal_0(k2_xcmplx_0(k3_xcmplx_0(k11_newton(2, k7_nat_d(C, B)), k6_xcmplx_0(A, 1)), 2), 1))  & r1_xxreal_0(k2_xcmplx_0(k3_xcmplx_0(k11_newton(2, k7_nat_d(C, B)), k6_xcmplx_0(A, 1)), 2), k3_finseq_1(k1_jordan8(D, C)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (r1_xxreal_0(B, C) =>  (r1_xxreal_0(A, 1) |  (r1_xxreal_0(k1_matrix_0(k1_jordan8(D, B)), k1_nat_1(A, 1)) |  ( ~ (r1_xxreal_0(k2_xcmplx_0(k3_xcmplx_0(k11_newton(2, k7_nat_d(C, B)), k6_xcmplx_0(A, 1)), 2), 1))  & r1_xxreal_0(k2_xcmplx_0(k3_xcmplx_0(k11_newton(2, k7_nat_d(C, B)), k6_xcmplx_0(A, 1)), 2), k1_matrix_0(k1_jordan8(D, C)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, k3_finseq_1(k1_jordan8(E, D))) &  (r1_xxreal_0(1, B) & r1_xxreal_0(B, k3_finseq_1(k1_jordan8(E, C)))) ) )  =>  ( ( ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  ~ (r1_xxreal_0(C, k5_numbers)) ) )  &  ~ ( (D=k5_numbers & C=k5_numbers) ) )  | k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(E, D), k1_jordan1a(k1_jordan8(E, D)), A))=k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(E, C), k1_jordan1a(k1_jordan8(E, C)), B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, k3_finseq_1(k1_jordan8(E, D))) &  (r1_xxreal_0(1, B) & r1_xxreal_0(B, k3_finseq_1(k1_jordan8(E, C)))) ) )  =>  ( ( ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  ~ (r1_xxreal_0(C, k5_numbers)) ) )  &  ~ ( (D=k5_numbers & C=k5_numbers) ) )  | k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(E, D), A, k1_jordan1a(k1_jordan8(E, D))))=k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(E, C), B, k1_jordan1a(k1_jordan8(E, C))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, k3_finseq_1(k1_jordan8(B, 1))))  => k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, 1), k1_jordan1a(k1_jordan8(B, 1)), A))=k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(B), k8_pscomp_1(B)), 2)) ) ) ) ) ).
fof(t39_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, k3_finseq_1(k1_jordan8(B, 1))))  => k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, 1), A, k1_jordan1a(k1_jordan8(B, 1))))=k7_xcmplx_0(k2_xcmplx_0(k9_pscomp_1(B), k7_pscomp_1(B)), 2)) ) ) ) ) ).
fof(t40_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v2_compts_1(E, k15_euclid(2)) &  ( ~ (v1_sppol_1(E))  &  ( ~ (v2_sppol_1(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, k3_finseq_1(k1_jordan8(E, D))) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k3_finseq_1(k1_jordan8(E, C))) & r1_xxreal_0(C, D)) ) ) )  => r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(E, D), A, k3_finseq_1(k1_jordan8(E, D)))), k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(E, C), B, k3_finseq_1(k1_jordan8(E, C)))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v2_compts_1(E, k15_euclid(2)) &  ( ~ (v1_sppol_1(E))  &  ( ~ (v2_sppol_1(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, k3_finseq_1(k1_jordan8(E, D))) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k3_finseq_1(k1_jordan8(E, C))) & r1_xxreal_0(C, D)) ) ) )  => r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(E, D), k3_finseq_1(k1_jordan8(E, D)), A)), k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(E, C), k3_finseq_1(k1_jordan8(E, C)), B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v2_compts_1(E, k15_euclid(2)) &  ( ~ (v1_sppol_1(E))  &  ( ~ (v2_sppol_1(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, k3_finseq_1(k1_jordan8(E, D))) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k3_finseq_1(k1_jordan8(E, C))) & r1_xxreal_0(C, D)) ) ) )  => r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(E, C), 1, B)), k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(E, D), 1, A)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v2_compts_1(E, k15_euclid(2)) &  ( ~ (v1_sppol_1(E))  &  ( ~ (v2_sppol_1(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, k3_finseq_1(k1_jordan8(E, D))) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k3_finseq_1(k1_jordan8(E, C))) & r1_xxreal_0(C, D)) ) ) )  => r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(E, C), B, 1)), k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(E, D), A, 1)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v2_compts_1(C, k15_euclid(2)) &  ( ~ (v1_sppol_1(C))  &  ( ~ (v2_sppol_1(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, B))  => r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(C, B), k1_jordan1a(k1_jordan8(C, B)), 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(C, B), k1_jordan1a(k1_jordan8(C, B)), k3_finseq_1(k1_jordan8(C, B)))), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(C, A), k1_jordan1a(k1_jordan8(C, A)), 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(C, A), k1_jordan1a(k1_jordan8(C, A)), k3_finseq_1(k1_jordan8(C, A)))))) ) ) ) ) ) ) ).
fof(t45_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v2_compts_1(D, k15_euclid(2)) &  ( ~ (v1_sppol_1(D))  &  ( ~ (v2_sppol_1(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, C) &  (r1_xxreal_0(1, A) & r1_xxreal_0(A, k1_matrix_0(k1_jordan8(D, C)))) ) )  => r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(D, C), k1_jordan1a(k1_jordan8(D, C)), 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(D, C), k1_jordan1a(k1_jordan8(D, C)), A)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(D, B), k1_jordan1a(k1_jordan8(D, B)), 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(D, C), k1_jordan1a(k1_jordan8(D, C)), A)))) ) ) ) ) ) ) ) ) ).
fof(t46_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v2_compts_1(D, k15_euclid(2)) &  ( ~ (v1_sppol_1(D))  &  ( ~ (v2_sppol_1(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, C) &  (r1_xxreal_0(1, A) & r1_xxreal_0(A, k1_matrix_0(k1_jordan8(D, C)))) ) )  => r1_tarski(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(D, B), k1_jordan1a(k1_jordan8(D, B)), 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(D, C), k1_jordan1a(k1_jordan8(D, C)), A)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(D, B), k1_jordan1a(k1_jordan8(D, B)), 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(D, B), k1_jordan1a(k1_jordan8(D, B)), k3_finseq_1(k1_jordan8(D, B)))))) ) ) ) ) ) ) ) ) ).
fof(t47_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v2_compts_1(E, k15_euclid(2)) &  ( ~ (v1_sppol_1(E))  &  ( ~ (v2_sppol_1(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (r1_xxreal_0(C, D) =>  (r1_xxreal_0(A, 1) |  (r1_xxreal_0(k3_finseq_1(k1_jordan8(E, C)), k1_nat_1(A, 1)) |  (r1_xxreal_0(B, 1) |  (r1_xxreal_0(k1_matrix_0(k1_jordan8(E, C)), k1_nat_1(B, 1)) |  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ( (r1_xxreal_0(k2_xcmplx_0(k3_xcmplx_0(k11_newton(2, k7_nat_d(D, C)), k6_xcmplx_0(A, 2)), 2), F) & r1_xxreal_0(k2_xcmplx_0(k3_xcmplx_0(k11_newton(2, k7_nat_d(D, C)), k6_xcmplx_0(B, 2)), 2), G))  =>  (r1_xxreal_0(k2_xcmplx_0(k3_xcmplx_0(k11_newton(2, k7_nat_d(D, C)), k6_xcmplx_0(A, 1)), 2), F) |  (r1_xxreal_0(k2_xcmplx_0(k3_xcmplx_0(k11_newton(2, k7_nat_d(D, C)), k6_xcmplx_0(B, 1)), 2), G) | r1_tarski(k3_goboard5(k1_jordan8(E, D), F, G), k3_goboard5(k1_jordan8(E, C), A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v2_compts_1(E, k15_euclid(2)) &  ( ~ (v1_sppol_1(E))  &  ( ~ (v2_sppol_1(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  ( (r1_xxreal_0(C, D) & r1_xxreal_0(3, A))  =>  (r1_xxreal_0(k3_finseq_1(k1_jordan8(E, C)), A) |  (r1_xxreal_0(B, 1) |  (r1_xxreal_0(k1_matrix_0(k1_jordan8(E, C)), k1_nat_1(B, 1)) |  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ( (F=k2_xcmplx_0(k3_xcmplx_0(k11_newton(2, k7_nat_d(D, C)), k6_xcmplx_0(A, 2)), 2) & G=k2_xcmplx_0(k3_xcmplx_0(k11_newton(2, k7_nat_d(D, C)), k6_xcmplx_0(B, 2)), 2))  => r1_tarski(k3_goboard5(k1_jordan8(E, D), k7_nat_d(F, 1), G), k3_goboard5(k1_jordan8(E, C), k7_nat_d(A, 1), B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v2_compts_1(C, k15_euclid(2)) &  ( ~ (v1_sppol_1(C))  &  ( ~ (v2_sppol_1(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (r1_xxreal_0(A, k3_finseq_1(k1_jordan8(C, B))) => r1_tarski(k3_goboard5(k1_jordan8(C, B), A, k5_numbers), k2_jordan2c(2, C))) ) ) ) ) ) ) ).
fof(t50_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v2_compts_1(C, k15_euclid(2)) &  ( ~ (v1_sppol_1(C))  &  ( ~ (v2_sppol_1(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (! [D] :  ( (v2_compts_1(D, k15_euclid(2)) &  ( ~ (v1_sppol_1(D))  &  ( ~ (v2_sppol_1(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (r1_xxreal_0(A, k3_finseq_1(k1_jordan8(C, B))) => r1_tarski(k3_goboard5(k1_jordan8(C, B), A, k1_matrix_0(k1_jordan8(C, B))), k2_jordan2c(2, C))) ) ) ) ) ) ) ) ) ).
fof(t51_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(C, B) & r1_xboole_0(k4_topreal1(C), k3_topreal1(2, k1_jordan9(B, A)))) ) ) ) ) ) ) ) ).
fof(t52_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(C, B) & r1_xboole_0(k5_topreal1(C), k3_topreal1(2, k1_jordan9(B, A)))) ) ) ) ) ) ) ) ).
fof(t53_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(C, B) & r1_xboole_0(k6_topreal1(C), k3_topreal1(2, k1_jordan9(B, A)))) ) ) ) ) ) ) ) ).
fof(t54_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(C, B) & r1_xboole_0(k7_topreal1(C), k3_topreal1(2, k1_jordan9(B, A)))) ) ) ) ) ) ) ) ).
fof(t55_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (? [C] :  (v7_ordinal1(C) &  (? [D] :  (v7_ordinal1(D) &  (r1_xxreal_0(1, C) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan9(B, A)), C))  &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k1_matrix_0(k1_jordan8(B, A))) & k7_partfun1(u1_struct_0(k15_euclid(2)), k1_jordan9(B, A), C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), 1, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (? [C] :  (v7_ordinal1(C) &  (? [D] :  (v7_ordinal1(D) &  (r1_xxreal_0(1, C) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan9(B, A)), C))  &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k3_finseq_1(k1_jordan8(B, A))) & k7_partfun1(u1_struct_0(k15_euclid(2)), k1_jordan9(B, A), C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), D, 1)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (? [C] :  (v7_ordinal1(C) &  (? [D] :  (v7_ordinal1(D) &  (r1_xxreal_0(1, C) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan9(B, A)), C))  &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k1_matrix_0(k1_jordan8(B, A))) & k7_partfun1(u1_struct_0(k15_euclid(2)), k1_jordan9(B, A), C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), k3_finseq_1(k1_jordan8(B, A)), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v2_connsp_1(D, k15_euclid(2)) &  (v2_compts_1(D, k15_euclid(2)) &  ( ~ (v1_sppol_1(D))  &  ( ~ (v2_sppol_1(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, k3_finseq_1(k1_jordan9(D, B))) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(k1_jordan8(D, B))) & k7_partfun1(u1_struct_0(k15_euclid(2)), k1_jordan9(D, B), A)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(D, B), C, k1_matrix_0(k1_jordan8(D, B)))) ) ) )  => r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), k1_jordan9(D, B), A), k15_pscomp_1(k3_topreal1(2, k1_jordan9(D, B))))) ) ) ) ) ) ) ) ) ).
fof(t59_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v2_connsp_1(D, k15_euclid(2)) &  (v2_compts_1(D, k15_euclid(2)) &  ( ~ (v1_sppol_1(D))  &  ( ~ (v2_sppol_1(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, k3_finseq_1(k1_jordan9(D, B))) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(k1_jordan8(D, B))) & k7_partfun1(u1_struct_0(k15_euclid(2)), k1_jordan9(D, B), A)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(D, B), 1, C)) ) ) )  => r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), k1_jordan9(D, B), A), k14_pscomp_1(k3_topreal1(2, k1_jordan9(D, B))))) ) ) ) ) ) ) ) ) ).
fof(t60_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v2_connsp_1(D, k15_euclid(2)) &  (v2_compts_1(D, k15_euclid(2)) &  ( ~ (v1_sppol_1(D))  &  ( ~ (v2_sppol_1(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, k3_finseq_1(k1_jordan9(D, B))) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(k1_jordan8(D, B))) & k7_partfun1(u1_struct_0(k15_euclid(2)), k1_jordan9(D, B), A)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(D, B), C, 1)) ) ) )  => r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), k1_jordan9(D, B), A), k17_pscomp_1(k3_topreal1(2, k1_jordan9(D, B))))) ) ) ) ) ) ) ) ) ).
fof(t61_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v2_connsp_1(D, k15_euclid(2)) &  (v2_compts_1(D, k15_euclid(2)) &  ( ~ (v1_sppol_1(D))  &  ( ~ (v2_sppol_1(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, k3_finseq_1(k1_jordan9(D, B))) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(k1_jordan8(D, B))) & k7_partfun1(u1_struct_0(k15_euclid(2)), k1_jordan9(D, B), A)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(D, B), k3_finseq_1(k1_jordan8(D, B)), C)) ) ) )  => r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), k1_jordan9(D, B), A), k16_pscomp_1(k3_topreal1(2, k1_jordan9(D, B))))) ) ) ) ) ) ) ) ) ).
fof(t62_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  => k6_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))=k6_xcmplx_0(k6_pscomp_1(B), k7_xcmplx_0(k6_xcmplx_0(k8_pscomp_1(B), k6_pscomp_1(B)), k1_newton(2, A)))) ) ) ) ).
fof(t63_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  => k9_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))=k6_xcmplx_0(k9_pscomp_1(B), k7_xcmplx_0(k6_xcmplx_0(k7_pscomp_1(B), k9_pscomp_1(B)), k1_newton(2, A)))) ) ) ) ).
fof(t64_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  => k8_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))=k2_xcmplx_0(k8_pscomp_1(B), k7_xcmplx_0(k6_xcmplx_0(k8_pscomp_1(B), k6_pscomp_1(B)), k1_newton(2, A)))) ) ) ) ).
fof(t65_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v2_connsp_1(C, k15_euclid(2)) &  (v2_compts_1(C, k15_euclid(2)) &  ( ~ (v1_sppol_1(C))  &  ( ~ (v2_sppol_1(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  => k2_xcmplx_0(k7_pscomp_1(k3_topreal1(2, k1_jordan9(C, B))), k9_pscomp_1(k3_topreal1(2, k1_jordan9(C, B))))=k2_xcmplx_0(k7_pscomp_1(k3_topreal1(2, k1_jordan9(C, A))), k9_pscomp_1(k3_topreal1(2, k1_jordan9(C, A))))) ) ) ) ) ) ).
fof(t66_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v2_connsp_1(C, k15_euclid(2)) &  (v2_compts_1(C, k15_euclid(2)) &  ( ~ (v1_sppol_1(C))  &  ( ~ (v2_sppol_1(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  => k2_xcmplx_0(k8_pscomp_1(k3_topreal1(2, k1_jordan9(C, B))), k6_pscomp_1(k3_topreal1(2, k1_jordan9(C, B))))=k2_xcmplx_0(k8_pscomp_1(k3_topreal1(2, k1_jordan9(C, A))), k6_pscomp_1(k3_topreal1(2, k1_jordan9(C, A))))) ) ) ) ) ) ).
fof(t67_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v2_connsp_1(C, k15_euclid(2)) &  (v2_compts_1(C, k15_euclid(2)) &  ( ~ (v1_sppol_1(C))  &  ( ~ (v2_sppol_1(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  ~ ( ( ~ (r1_xxreal_0(B, A))  & r1_xxreal_0(k8_pscomp_1(k3_topreal1(2, k1_jordan9(C, A))), k8_pscomp_1(k3_topreal1(2, k1_jordan9(C, B))))) ) ) ) ) ) ) ) ).
fof(t68_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v2_connsp_1(C, k15_euclid(2)) &  (v2_compts_1(C, k15_euclid(2)) &  ( ~ (v1_sppol_1(C))  &  ( ~ (v2_sppol_1(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  ~ ( ( ~ (r1_xxreal_0(B, A))  & r1_xxreal_0(k6_pscomp_1(k3_topreal1(2, k1_jordan9(C, B))), k6_pscomp_1(k3_topreal1(2, k1_jordan9(C, A))))) ) ) ) ) ) ) ) ).
fof(t69_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v2_connsp_1(C, k15_euclid(2)) &  (v2_compts_1(C, k15_euclid(2)) &  ( ~ (v1_sppol_1(C))  &  ( ~ (v2_sppol_1(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  ~ ( ( ~ (r1_xxreal_0(B, A))  & r1_xxreal_0(k9_pscomp_1(k3_topreal1(2, k1_jordan9(C, B))), k9_pscomp_1(k3_topreal1(2, k1_jordan9(C, A))))) ) ) ) ) ) ) ) ).
fof(t70_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v2_connsp_1(C, k15_euclid(2)) &  (v2_compts_1(C, k15_euclid(2)) &  ( ~ (v1_sppol_1(C))  &  ( ~ (v2_sppol_1(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, k3_finseq_1(k1_jordan8(C, B))))  => k7_pscomp_1(k3_topreal1(2, k1_jordan9(C, B)))=k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(C, B), A, k3_finseq_1(k1_jordan8(C, B))))) ) ) ) ) ) ) ).
fof(t71_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v2_connsp_1(C, k15_euclid(2)) &  (v2_compts_1(C, k15_euclid(2)) &  ( ~ (v1_sppol_1(C))  &  ( ~ (v2_sppol_1(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, k3_finseq_1(k1_jordan8(C, B))))  => k8_pscomp_1(k3_topreal1(2, k1_jordan9(C, B)))=k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(C, B), k3_finseq_1(k1_jordan8(C, B)), A))) ) ) ) ) ) ) ).
fof(t72_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v2_connsp_1(C, k15_euclid(2)) &  (v2_compts_1(C, k15_euclid(2)) &  ( ~ (v1_sppol_1(C))  &  ( ~ (v2_sppol_1(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, k3_finseq_1(k1_jordan8(C, B))))  => k9_pscomp_1(k3_topreal1(2, k1_jordan9(C, B)))=k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(C, B), A, 1))) ) ) ) ) ) ) ).
fof(t73_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v2_connsp_1(C, k15_euclid(2)) &  (v2_compts_1(C, k15_euclid(2)) &  ( ~ (v1_sppol_1(C))  &  ( ~ (v2_sppol_1(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, k3_finseq_1(k1_jordan8(C, B))))  => k6_pscomp_1(k3_topreal1(2, k1_jordan9(C, B)))=k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(C, B), 1, A))) ) ) ) ) ) ) ).
fof(t74_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(D, B) &  (r2_tarski(C, k9_subset_1(u1_struct_0(k15_euclid(2)), k4_topreal1(D), k3_topreal1(2, k1_jordan9(B, A)))) & r1_xxreal_0(k18_euclid(C), k18_euclid(D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(D, B) &  (r2_tarski(C, k9_subset_1(u1_struct_0(k15_euclid(2)), k5_topreal1(D), k3_topreal1(2, k1_jordan9(B, A)))) & r1_xxreal_0(k17_euclid(C), k17_euclid(D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t76_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(D, B) &  (r2_tarski(C, k9_subset_1(u1_struct_0(k15_euclid(2)), k6_topreal1(D), k3_topreal1(2, k1_jordan9(B, A)))) & r1_xxreal_0(k18_euclid(D), k18_euclid(C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t77_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(D, B) &  (r2_tarski(C, k9_subset_1(u1_struct_0(k15_euclid(2)), k7_topreal1(D), k3_topreal1(2, k1_jordan9(B, A)))) & r1_xxreal_0(k17_euclid(D), k17_euclid(C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t78_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v2_connsp_1(C, k15_euclid(2)) &  (v2_compts_1(C, k15_euclid(2)) &  ( ~ (v1_sppol_1(C))  &  ( ~ (v2_sppol_1(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(E, k15_pscomp_1(C)) &  (r2_tarski(D, k4_topreal1(E)) &  (r1_xxreal_0(1, A) & r2_tarski(D, k2_topreal1(2, k1_jordan9(C, B), A))) ) )  =>  (r1_xxreal_0(k3_finseq_1(k1_jordan9(C, B)), A) | v1_sppol_1(k2_topreal1(2, k1_jordan9(C, B), A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t79_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v2_connsp_1(C, k15_euclid(2)) &  (v2_compts_1(C, k15_euclid(2)) &  ( ~ (v1_sppol_1(C))  &  ( ~ (v2_sppol_1(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(E, k16_pscomp_1(C)) &  (r2_tarski(D, k5_topreal1(E)) &  (r1_xxreal_0(1, A) & r2_tarski(D, k2_topreal1(2, k1_jordan9(C, B), A))) ) )  =>  (r1_xxreal_0(k3_finseq_1(k1_jordan9(C, B)), A) | v2_sppol_1(k2_topreal1(2, k1_jordan9(C, B), A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t80_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v2_connsp_1(C, k15_euclid(2)) &  (v2_compts_1(C, k15_euclid(2)) &  ( ~ (v1_sppol_1(C))  &  ( ~ (v2_sppol_1(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(E, k17_pscomp_1(C)) &  (r2_tarski(D, k6_topreal1(E)) &  (r1_xxreal_0(1, A) & r2_tarski(D, k2_topreal1(2, k1_jordan9(C, B), A))) ) )  =>  (r1_xxreal_0(k3_finseq_1(k1_jordan9(C, B)), A) | v1_sppol_1(k2_topreal1(2, k1_jordan9(C, B), A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t81_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v2_connsp_1(C, k15_euclid(2)) &  (v2_compts_1(C, k15_euclid(2)) &  ( ~ (v1_sppol_1(C))  &  ( ~ (v2_sppol_1(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(E, k14_pscomp_1(C)) &  (r2_tarski(D, k7_topreal1(E)) &  (r1_xxreal_0(1, A) & r2_tarski(D, k2_topreal1(2, k1_jordan9(C, B), A))) ) )  =>  (r1_xxreal_0(k3_finseq_1(k1_jordan9(C, B)), A) | v2_sppol_1(k2_topreal1(2, k1_jordan9(C, B), A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t82_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(D, k15_pscomp_1(B)) & r2_tarski(C, k9_subset_1(u1_struct_0(k15_euclid(2)), k4_topreal1(D), k3_topreal1(2, k1_jordan9(B, A)))))  => k18_euclid(C)=k7_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))) ) ) ) ) ) ) ) ) ).
fof(t83_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(D, k16_pscomp_1(B)) & r2_tarski(C, k9_subset_1(u1_struct_0(k15_euclid(2)), k5_topreal1(D), k3_topreal1(2, k1_jordan9(B, A)))))  => k17_euclid(C)=k8_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))) ) ) ) ) ) ) ) ) ).
fof(t84_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(D, k17_pscomp_1(B)) & r2_tarski(C, k9_subset_1(u1_struct_0(k15_euclid(2)), k6_topreal1(D), k3_topreal1(2, k1_jordan9(B, A)))))  => k18_euclid(C)=k9_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))) ) ) ) ) ) ) ) ) ).
fof(t85_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(D, k14_pscomp_1(B)) & r2_tarski(C, k9_subset_1(u1_struct_0(k15_euclid(2)), k7_topreal1(D), k3_topreal1(2, k1_jordan9(B, A)))))  => k17_euclid(C)=k6_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))) ) ) ) ) ) ) ) ) ).
fof(t86_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(C, k15_pscomp_1(B)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ (k9_subset_1(u1_struct_0(k15_euclid(2)), k4_topreal1(C), k3_topreal1(2, k1_jordan9(B, A)))=k1_tarski(D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t87_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(C, k16_pscomp_1(B)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ (k9_subset_1(u1_struct_0(k15_euclid(2)), k5_topreal1(C), k3_topreal1(2, k1_jordan9(B, A)))=k1_tarski(D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t88_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(C, k17_pscomp_1(B)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ (k9_subset_1(u1_struct_0(k15_euclid(2)), k6_topreal1(C), k3_topreal1(2, k1_jordan9(B, A)))=k1_tarski(D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t89_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(C, k14_pscomp_1(B)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ (k9_subset_1(u1_struct_0(k15_euclid(2)), k7_topreal1(C), k3_topreal1(2, k1_jordan9(B, A)))=k1_tarski(D)) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_jordan1a, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => v7_ordinal1(k1_jordan1a(A))) ) ).
fof(t1_jordan1b, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_xboole_0(A) <=> v1_xboole_0(k3_finseq_5(A))) ) ) ).
fof(t2_jordan1b, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(B)) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k3_finseq_1(B)) & v1_xboole_0(k3_finseq_6(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_jordan1b, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (r1_xxreal_0(1, k3_finseq_1(A)) & r2_tarski(B, k3_topreal1(2, A)))  => k1_funct_1(k3_jordan3(A, B), 1)=k1_funct_1(A, 1)) ) ) ) ) ).
fof(t4_jordan1b, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (v4_topreal1(A) & r2_tarski(B, k3_topreal1(2, A)))  => k1_funct_1(k2_jordan3(A, B), k3_finseq_1(k2_jordan3(A, B)))=k1_funct_1(A, k3_finseq_1(A))) ) ) ) ) ).
fof(t5_jordan1b, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ (k19_pscomp_1(A)=k22_pscomp_1(A)) ) ) ).
fof(t6_jordan1b, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, B) =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(k3_finseq_1(C), A) | k8_finseq_1(B, k3_finseq_6(B, C, A, k7_nat_d(k3_finseq_1(C), 1)), k13_matrix_0(B, k7_partfun1(B, C, k3_finseq_1(C))))=k3_finseq_6(B, C, A, k3_finseq_1(C))) ) ) ) ) ) ) ) ).
fof(t7_jordan1b, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (v2_sppol_1(k1_rltopsp1(k15_euclid(2), A, B)) =>  (A=B | v4_topreal1(k2_finseq_4(u1_struct_0(k15_euclid(2)), A, B))) ) ) ) ) ) ).
fof(t8_jordan1b, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (v1_sppol_1(k1_rltopsp1(k15_euclid(2), A, B)) =>  (A=B | v4_topreal1(k2_finseq_4(u1_struct_0(k15_euclid(2)), A, B))) ) ) ) ) ) ).
fof(t9_jordan1b, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r1_sprect_2(B, A) => r1_sprect_2(B, k1_finseq_6(u1_struct_0(k15_euclid(2)), A, C))) ) ) ) ) ) ) ).
fof(t10_jordan1b, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => r1_sprect_2(A, k1_finseq_6(u1_struct_0(k15_euclid(2)), A, B))) ) ) ) ).
fof(t11_jordan1b, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => r1_xxreal_0(1, k1_jordan1a(A))) ) ).
fof(t12_jordan1b, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (r1_xxreal_0(1, k3_finseq_1(A)) => r1_xxreal_0(k1_jordan1a(A), k3_finseq_1(A))) ) ) ).
fof(t13_jordan1b, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  => r1_xxreal_0(k1_jordan1a(A), k3_finseq_1(A))) ) ).
fof(t14_jordan1b, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  ~ ( (r1_xxreal_0(2, k3_finseq_1(A)) & r1_xxreal_0(k1_jordan1a(A), 1)) ) ) ) ).
fof(t15_jordan1b, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  ~ ( (r1_xxreal_0(3, k3_finseq_1(A)) & r1_xxreal_0(k3_finseq_1(A), k1_jordan1a(A))) ) ) ) ).
fof(t16_jordan1b, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (! [B] :  (v7_ordinal1(B) => k1_jordan1a(k1_jordan8(A, B))=k1_nat_1(k11_newton(2, k7_nat_d(B, 1)), 2)) ) ) ) ).
fof(t17_jordan1b, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  => r1_tarski(A, k3_goboard5(k1_jordan8(A, k5_numbers), 2, 2))) ) ).
fof(t18_jordan1b, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  ~ (r1_tarski(k3_goboard5(k1_jordan8(A, k5_numbers), 2, 2), k1_jordan2c(2, A))) ) ) ).
fof(t19_jordan1b, axiom,  (! [A] :  ( (v2_connsp_1(A, k15_euclid(2)) &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  => k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, 1), k1_jordan1a(k1_jordan8(A, 1)), 1)=k19_euclid(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2), k9_pscomp_1(k3_topreal1(2, k1_jordan9(A, 1))))) ) ).
fof(t20_jordan1b, axiom,  (! [A] :  ( (v2_connsp_1(A, k15_euclid(2)) &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  => k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, 1), k1_jordan1a(k1_jordan8(A, 1)), k3_finseq_1(k1_jordan8(A, 1)))=k19_euclid(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2), k7_pscomp_1(k3_topreal1(2, k1_jordan9(A, 1))))) ) ).
fof(t21_jordan1b, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(A)) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k1_matrix_0(A)) &  (r2_tarski(E, k3_goboard5(A, k3_finseq_1(A), B)) & k17_euclid(E)=k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), A, C, D))) ) ) ) ) )  =>  (r1_xxreal_0(k1_matrix_0(A), B) | k3_finseq_1(A)=C) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_jordan1b, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k3_finseq_1(A)) &  (r1_xxreal_0(1, C) &  ( ~ (r1_xxreal_0(k1_matrix_0(A), C))  &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k3_finseq_1(A)) &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, k1_matrix_0(A)) &  (r2_tarski(F, k3_goboard5(A, B, C)) &  (k17_euclid(F)=k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), A, D, E)) &  ( ~ (B=D)  &  ~ (B=k7_nat_d(D, 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_jordan1b, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(A)) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k1_matrix_0(A)) &  (r2_tarski(E, k3_goboard5(A, B, k1_matrix_0(A))) & k18_euclid(E)=k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), A, C, D))) ) ) ) ) )  =>  (r1_xxreal_0(k3_finseq_1(A), B) | k1_matrix_0(A)=D) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_jordan1b, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_xxreal_0(1, B) &  ( ~ (r1_xxreal_0(k3_finseq_1(A), B))  &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(A)) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k3_finseq_1(A)) &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, k1_matrix_0(A)) &  (r2_tarski(F, k3_goboard5(A, B, C)) &  (k18_euclid(F)=k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), A, D, E)) &  ( ~ (C=E)  &  ~ (C=k7_nat_d(E, 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_jordan1b, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), C))  & r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, k3_finseq_1(k1_jordan8(B, A)))), k8_jordan6(B))) ) ) ) ) ) ) ) ) ).
fof(t26_jordan1b, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), C))  & r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, k3_finseq_1(k1_jordan8(B, A)))), k9_jordan6(B))) ) ) ) ) ) ) ) ) ).
fof(t27_jordan1b, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ (r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), k1_jordan1a(k1_jordan8(B, A)), 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), k1_jordan1a(k1_jordan8(B, A)), k3_finseq_1(k1_jordan8(B, A)))), k8_jordan6(B))) ) ) ) ) ).
fof(t28_jordan1b, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ (r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), k1_jordan1a(k1_jordan8(B, A)), 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), k1_jordan1a(k1_jordan8(B, A)), k3_finseq_1(k1_jordan8(B, A)))), k9_jordan6(B))) ) ) ) ) ).
fof(t29_jordan1b, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(k1_jordan8(B, A))) & r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, k3_finseq_1(k1_jordan8(B, A)))), k8_jordan6(k3_topreal1(2, k1_jordan9(B, A))))) ) ) ) ) ) ) ) ) ).
fof(t30_jordan1b, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(k1_jordan8(B, A))) & r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, k3_finseq_1(k1_jordan8(B, A)))), k9_jordan6(k3_topreal1(2, k1_jordan9(B, A))))) ) ) ) ) ) ) ) ) ).
fof(t31_jordan1b, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  ~ (r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), k1_jordan1a(k1_jordan8(B, A)), 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), k1_jordan1a(k1_jordan8(B, A)), k3_finseq_1(k1_jordan8(B, A)))), k8_jordan6(k3_topreal1(2, k1_jordan9(B, A))))) ) ) ) ) ).
fof(t32_jordan1b, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  ~ (r2_subset_1(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), k1_jordan1a(k1_jordan8(B, A)), 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), k1_jordan1a(k1_jordan8(B, A)), k3_finseq_1(k1_jordan8(B, A)))), k9_jordan6(k3_topreal1(2, k1_jordan9(B, A))))) ) ) ) ) ).
fof(t33_jordan1b, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(B, k1_matrix_0(A)) & v9_rltopsp1(k3_goboard5(A, k5_numbers, B), k15_euclid(2))) ) ) ) ) ) ).
fof(t34_jordan1b, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(B, k1_matrix_0(A)) & v9_rltopsp1(k3_goboard5(A, k3_finseq_1(A), B), k15_euclid(2))) ) ) ) ) ) ).
fof(t35_jordan1b, axiom,  (! [A] :  ( (v2_connsp_1(A, k15_euclid(2)) &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, k1_matrix_0(k1_jordan8(A, C))) => r1_tarski(k3_goboard5(k1_jordan8(A, C), k5_numbers, B), k2_jordan2c(2, A))) ) ) ) ) ) ) ).
fof(t36_jordan1b, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, k3_finseq_1(k1_jordan8(A, C))) => r1_tarski(k3_goboard5(k1_jordan8(A, C), k3_finseq_1(k1_jordan8(A, C)), B), k2_jordan2c(2, A))) ) ) ) ) ) ) ).
fof(t37_jordan1b, axiom,  (! [A] :  ( (v2_connsp_1(A, k15_euclid(2)) &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(B, k3_finseq_1(k1_jordan8(A, D))) &  (r1_xxreal_0(C, k1_matrix_0(k1_jordan8(A, D))) &  (r1_tarski(k3_goboard5(k1_jordan8(A, D), B, C), k1_jordan2c(2, A)) & r1_xxreal_0(C, 1)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_jordan1b, axiom,  (! [A] :  ( (v2_connsp_1(A, k15_euclid(2)) &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(B, k3_finseq_1(k1_jordan8(A, D))) &  (r1_xxreal_0(C, k1_matrix_0(k1_jordan8(A, D))) &  (r1_tarski(k3_goboard5(k1_jordan8(A, D), B, C), k1_jordan2c(2, A)) & r1_xxreal_0(B, 1)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_jordan1b, axiom,  (! [A] :  ( (v2_connsp_1(A, k15_euclid(2)) &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(B, k3_finseq_1(k1_jordan8(A, D))) &  (r1_xxreal_0(C, k1_matrix_0(k1_jordan8(A, D))) &  (r1_tarski(k3_goboard5(k1_jordan8(A, D), B, C), k1_jordan2c(2, A)) & r1_xxreal_0(k1_matrix_0(k1_jordan8(A, D)), k1_nat_1(C, 1))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_jordan1b, axiom,  (! [A] :  ( (v2_connsp_1(A, k15_euclid(2)) &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(B, k3_finseq_1(k1_jordan8(A, D))) &  (r1_xxreal_0(C, k1_matrix_0(k1_jordan8(A, D))) &  (r1_tarski(k3_goboard5(k1_jordan8(A, D), B, C), k1_jordan2c(2, A)) & r1_xxreal_0(k3_finseq_1(k1_jordan8(A, D)), k1_nat_1(B, 1))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_jordan1b, axiom,  (! [A] :  ( (v2_connsp_1(A, k15_euclid(2)) &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (? [C] :  (v7_ordinal1(C) &  (? [D] :  (v7_ordinal1(D) &  (r1_xxreal_0(C, k3_finseq_1(k1_jordan8(A, B))) &  (r1_xxreal_0(D, k1_matrix_0(k1_jordan8(A, B))) & r1_tarski(k3_goboard5(k1_jordan8(A, B), C, D), k1_jordan2c(2, A))) ) ) ) ) )  => r1_xxreal_0(1, B)) ) ) ) ) ).
fof(t1_jordan1c, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_hidden(k4_tarski(B, C), k2_matrix_0(k1_jordan8(A, D))) & r2_hidden(k4_tarski(k2_xcmplx_0(B, 1), C), k2_matrix_0(k1_jordan8(A, D))))  => k1_topreal6(2, k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, D), 1, 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, D), 2, 1))=k6_xcmplx_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, D), k2_xcmplx_0(B, 1), C)), k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, D), B, C)))) ) ) ) ) ) ) ) ) ).
fof(t2_jordan1c, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_hidden(k4_tarski(B, C), k2_matrix_0(k1_jordan8(A, D))) & r2_hidden(k4_tarski(B, k2_xcmplx_0(C, 1)), k2_matrix_0(k1_jordan8(A, D))))  => k1_topreal6(2, k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, D), 1, 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, D), 1, 2))=k6_xcmplx_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, D), B, k2_xcmplx_0(C, 1))), k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, D), B, C)))) ) ) ) ) ) ) ) ) ).
fof(t3_jordan1c, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (v9_rltopsp1(A, k15_euclid(2)) => v5_xxreal_2(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k4_pscomp_1, A))) ) ) ).
fof(t4_jordan1c, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ( (C=k4_subset_1(u1_struct_0(k15_euclid(2)), A, B) & v3_xxreal_2(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k4_pscomp_1, B)))  =>  (v1_xboole_0(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k4_pscomp_1, B)) | k6_pscomp_1(C)=k3_xxreal_0(k6_pscomp_1(A), k6_pscomp_1(B))) ) ) ) ) ) ) ) ).
fof(t5_jordan1c, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (r2_tarski(A, B) & v9_rltopsp1(B, k15_euclid(2)))  =>  (r1_xxreal_0(k6_pscomp_1(B), k17_euclid(A)) &  (r1_xxreal_0(k17_euclid(A), k8_pscomp_1(B)) &  (r1_xxreal_0(k9_pscomp_1(B), k18_euclid(A)) & r1_xxreal_0(k18_euclid(A), k7_pscomp_1(B))) ) ) ) ) ) ) ) ).
fof(t6_jordan1c, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ( ~ (k1_jordan2c(2, A)=k1_xboole_0)  => r1_xxreal_0(k6_pscomp_1(A), k6_pscomp_1(k1_jordan2c(2, A)))) ) ) ).
fof(t7_jordan1c, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ( ~ (k1_jordan2c(2, A)=k1_xboole_0)  => r1_xxreal_0(k8_pscomp_1(k1_jordan2c(2, A)), k8_pscomp_1(A))) ) ) ).
fof(t8_jordan1c, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ( ~ (k1_jordan2c(2, A)=k1_xboole_0)  => r1_xxreal_0(k9_pscomp_1(A), k9_pscomp_1(k1_jordan2c(2, A)))) ) ) ).
fof(t9_jordan1c, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ( ~ (k1_jordan2c(2, A)=k1_xboole_0)  => r1_xxreal_0(k7_pscomp_1(k1_jordan2c(2, A)), k7_pscomp_1(A))) ) ) ).
fof(t10_jordan1c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( (v2_compts_1(C, k15_euclid(2)) &  ( ~ (v2_sppol_1(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [D] :  (v1_int_1(D) =>  ~ ( (r2_tarski(B, k1_jordan2c(2, C)) &  (D=k1_int_1(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k17_euclid(B), k6_pscomp_1(C)), k6_xcmplx_0(k8_pscomp_1(C), k6_pscomp_1(C))), k1_newton(2, A)), 2)) & r1_xxreal_0(D, 1)) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_jordan1c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( (v2_compts_1(C, k15_euclid(2)) &  ( ~ (v2_sppol_1(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [D] :  (v1_int_1(D) =>  ( (r2_tarski(B, k1_jordan2c(2, C)) & D=k1_int_1(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k17_euclid(B), k6_pscomp_1(C)), k6_xcmplx_0(k8_pscomp_1(C), k6_pscomp_1(C))), k1_newton(2, A)), 2)))  => r1_xxreal_0(k2_xcmplx_0(D, 1), k3_finseq_1(k1_jordan8(C, A)))) ) ) ) ) ) ) ) ) ).
fof(t12_jordan1c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( (v2_compts_1(C, k15_euclid(2)) &  ( ~ (v1_sppol_1(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [D] :  (v1_int_1(D) =>  ( (r2_tarski(B, k1_jordan2c(2, C)) & D=k1_int_1(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k18_euclid(B), k9_pscomp_1(C)), k6_xcmplx_0(k7_pscomp_1(C), k9_pscomp_1(C))), k1_newton(2, A)), 2)))  =>  ( ~ (r1_xxreal_0(D, 1))  & r1_xxreal_0(k2_xcmplx_0(D, 1), k1_matrix_0(k1_jordan8(C, A)))) ) ) ) ) ) ) ) ) ) ).
fof(t13_jordan1c, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (v1_int_1(D) =>  (D=k1_int_1(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k17_euclid(C), k6_pscomp_1(A)), k6_xcmplx_0(k8_pscomp_1(A), k6_pscomp_1(A))), k1_newton(2, B)), 2)) => r1_xxreal_0(k2_xcmplx_0(k6_pscomp_1(A), k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k8_pscomp_1(A), k6_pscomp_1(A)), k1_newton(2, B)), k6_xcmplx_0(D, 2))), k17_euclid(C))) ) ) ) ) ) ) ) ) ).
fof(t14_jordan1c, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (v1_int_1(D) =>  ~ ( (D=k1_int_1(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k17_euclid(C), k6_pscomp_1(A)), k6_xcmplx_0(k8_pscomp_1(A), k6_pscomp_1(A))), k1_newton(2, B)), 2)) & r1_xxreal_0(k2_xcmplx_0(k6_pscomp_1(A), k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k8_pscomp_1(A), k6_pscomp_1(A)), k1_newton(2, B)), k6_xcmplx_0(D, 1))), k17_euclid(C))) ) ) ) ) ) ) ) ) ) ).
fof(t15_jordan1c, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (v1_int_1(D) =>  (D=k1_int_1(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k18_euclid(C), k9_pscomp_1(A)), k6_xcmplx_0(k7_pscomp_1(A), k9_pscomp_1(A))), k1_newton(2, B)), 2)) => r1_xxreal_0(k2_xcmplx_0(k9_pscomp_1(A), k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k7_pscomp_1(A), k9_pscomp_1(A)), k1_newton(2, B)), k6_xcmplx_0(D, 2))), k18_euclid(C))) ) ) ) ) ) ) ) ) ).
fof(t16_jordan1c, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (v1_int_1(D) =>  ~ ( (D=k1_int_1(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k18_euclid(C), k9_pscomp_1(A)), k6_xcmplx_0(k7_pscomp_1(A), k9_pscomp_1(A))), k1_newton(2, B)), 2)) & r1_xxreal_0(k2_xcmplx_0(k9_pscomp_1(A), k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k7_pscomp_1(A), k9_pscomp_1(A)), k1_newton(2, B)), k6_xcmplx_0(D, 1))), k18_euclid(C))) ) ) ) ) ) ) ) ) ) ).
fof(t17_jordan1c, axiom,  (! [A] :  ( (v4_pre_topc(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k14_euclid(2))) =>  ~ ( (r2_tarski(B, k1_jordan2c(2, A)) &  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  & r1_tarski(k8_metric_1(k14_euclid(2), B, C), k1_jordan2c(2, A))) ) ) ) ) ) ) ) ) ) ).
fof(t18_jordan1c, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(G, k1_topreal6(2, k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, D), 1, 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, D), 1, 2))))  &  ( ~ (r1_xxreal_0(G, k1_topreal6(2, k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, D), 1, 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, D), 2, 1))))  &  (r2_tarski(E, k3_goboard5(k1_jordan8(A, D), B, C)) &  (r2_tarski(F, k3_goboard5(k1_jordan8(A, D), B, C)) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(k2_xcmplx_0(B, 1), k3_finseq_1(k1_jordan8(A, D))) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(k2_xcmplx_0(C, 1), k1_matrix_0(k1_jordan8(A, D))) & r1_xxreal_0(k3_xcmplx_0(2, G), k1_topreal6(2, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_jordan1c, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ ( (r2_tarski(A, k1_jordan2c(2, B)) & k18_euclid(A)=k7_pscomp_1(k1_jordan2c(2, B))) ) ) ) ) ) ).
fof(t20_jordan1c, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ ( (r2_tarski(A, k1_jordan2c(2, B)) & k17_euclid(A)=k8_pscomp_1(k1_jordan2c(2, B))) ) ) ) ) ) ).
fof(t21_jordan1c, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ ( (r2_tarski(A, k1_jordan2c(2, B)) & k18_euclid(A)=k9_pscomp_1(k1_jordan2c(2, B))) ) ) ) ) ) ).
fof(t22_jordan1c, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ ( (r2_tarski(A, k1_jordan2c(2, B)) & k17_euclid(A)=k6_pscomp_1(k1_jordan2c(2, B))) ) ) ) ) ) ).
fof(t23_jordan1c, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(B, k1_jordan2c(2, A)) &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(D, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(A, C)), D))  &  ( ~ (r1_xxreal_0(E, 1))  &  ( ~ (r1_xxreal_0(k1_matrix_0(k1_jordan8(A, C)), E))  &  ( ~ (k17_euclid(B)=k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, C), D, E)))  &  (r2_tarski(B, k3_goboard5(k1_jordan8(A, C), D, E)) & r1_tarski(k3_goboard5(k1_jordan8(A, C), D, E), k1_jordan2c(2, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_jordan1c, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( (v9_rltopsp1(A, k15_euclid(2)) & v1_xboole_0(k2_jordan2c(2, A))) ) ) ) ).
fof(fc1_jordan1d, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => v1_abian(k1_newton(2, A))) ) ).
fof(fc2_jordan1d, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) & v1_abian(A))  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => v1_abian(k1_newton(A, B))) ) ).
fof(t1_jordan1d, axiom,  (! [A] :  (! [B] :  ( (! [C] :  ~ ( (r2_tarski(C, A) &  (! [D] :  ~ ( (r1_tarski(D, B) & r1_tarski(C, k3_tarski(D))) ) ) ) ) )  => r1_tarski(k3_tarski(A), k3_tarski(B))) ) ) ).
fof(t2_jordan1d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (B=k5_numbers)  => k3_xcmplx_0(k7_xcmplx_0(1, B), k1_newton(B, k1_nat_1(A, 1)))=k1_newton(B, A)) ) ) ) ) ).
fof(t3_jordan1d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ( (r1_xxreal_0(2, D) &  (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, k3_finseq_1(k1_jordan8(E, C))) &  (r1_xxreal_0(1, B) & r1_xxreal_0(B, k3_finseq_1(k1_jordan8(E, k1_nat_1(C, 1))))) ) ) )  =>  (r1_xxreal_0(k3_finseq_1(k1_jordan8(E, C)), D) | k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(E, C), D, A))=k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(E, k1_nat_1(C, 1)), k7_nat_d(k3_xcmplx_0(2, D), 2), B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_jordan1d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ( (r1_xxreal_0(2, D) &  (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, k3_finseq_1(k1_jordan8(E, C))) &  (r1_xxreal_0(1, B) & r1_xxreal_0(B, k3_finseq_1(k1_jordan8(E, k1_nat_1(C, 1))))) ) ) )  =>  (r1_xxreal_0(k3_finseq_1(k1_jordan8(E, C)), D) | k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(E, C), A, D))=k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(E, k1_nat_1(C, 1)), B, k7_nat_d(k3_xcmplx_0(2, D), 2)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_jordan1d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v2_compts_1(D, k15_euclid(2)) &  ( ~ (v1_sppol_1(D))  &  ( ~ (v2_sppol_1(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  ( (r1_xxreal_0(2, B) & r1_xxreal_0(2, C))  =>  (r1_xxreal_0(k3_finseq_1(k1_jordan8(D, A)), k1_nat_1(B, 1)) |  (r1_xxreal_0(k3_finseq_1(k1_jordan8(D, A)), k1_nat_1(C, 1)) | k3_goboard5(k1_jordan8(D, A), B, C)=k4_subset_1(u1_struct_0(k15_euclid(2)), k4_subset_1(u1_struct_0(k15_euclid(2)), k4_subset_1(u1_struct_0(k15_euclid(2)), k3_goboard5(k1_jordan8(D, k1_nat_1(A, 1)), k7_nat_d(k3_xcmplx_0(2, B), 2), k7_nat_d(k3_xcmplx_0(2, C), 2)), k3_goboard5(k1_jordan8(D, k1_nat_1(A, 1)), k7_nat_d(k3_xcmplx_0(2, B), 1), k7_nat_d(k3_xcmplx_0(2, C), 2))), k3_goboard5(k1_jordan8(D, k1_nat_1(A, 1)), k7_nat_d(k3_xcmplx_0(2, B), 2), k7_nat_d(k3_xcmplx_0(2, C), 1))), k3_goboard5(k1_jordan8(D, k1_nat_1(A, 1)), k7_nat_d(k3_xcmplx_0(2, B), 1), k7_nat_d(k3_xcmplx_0(2, C), 1)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_jordan1d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(1, C) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan9(B, A)), C))  & r2_tarski(k21_pscomp_1(B), k1_gobrd13(k1_jordan9(B, A), k1_jordan8(B, A), C))) ) ) ) ) ) ) ) ).
fof(t8_jordan1d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(1, C) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan9(B, A)), C))  & r2_tarski(k21_pscomp_1(B), k4_goboard5(k1_jordan9(B, A), C))) ) ) ) ) ) ) ) ).
fof(t9_jordan1d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(1, C) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan9(B, A)), C))  & r2_tarski(k23_pscomp_1(B), k1_gobrd13(k1_jordan9(B, A), k1_jordan8(B, A), C))) ) ) ) ) ) ) ) ).
fof(t10_jordan1d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(1, C) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan9(B, A)), C))  & r2_tarski(k23_pscomp_1(B), k4_goboard5(k1_jordan9(B, A), C))) ) ) ) ) ) ) ) ).
fof(t11_jordan1d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(1, C) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan9(B, A)), C))  & r2_tarski(k22_pscomp_1(B), k1_gobrd13(k1_jordan9(B, A), k1_jordan8(B, A), C))) ) ) ) ) ) ) ) ).
fof(t12_jordan1d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(1, C) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan9(B, A)), C))  & r2_tarski(k22_pscomp_1(B), k4_goboard5(k1_jordan9(B, A), C))) ) ) ) ) ) ) ) ).
fof(t13_jordan1d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(1, C) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan9(B, A)), C))  & r2_tarski(k25_pscomp_1(B), k1_gobrd13(k1_jordan9(B, A), k1_jordan8(B, A), C))) ) ) ) ) ) ) ) ).
fof(t14_jordan1d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(1, C) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan9(B, A)), C))  & r2_tarski(k25_pscomp_1(B), k4_goboard5(k1_jordan9(B, A), C))) ) ) ) ) ) ) ) ).
fof(t15_jordan1d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(1, C) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan9(B, A)), C))  & r2_tarski(k24_pscomp_1(B), k1_gobrd13(k1_jordan9(B, A), k1_jordan8(B, A), C))) ) ) ) ) ) ) ) ).
fof(t16_jordan1d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(1, C) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan9(B, A)), C))  & r2_tarski(k24_pscomp_1(B), k4_goboard5(k1_jordan9(B, A), C))) ) ) ) ) ) ) ) ).
fof(t17_jordan1d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(1, C) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan9(B, A)), C))  & r2_tarski(k18_pscomp_1(B), k1_gobrd13(k1_jordan9(B, A), k1_jordan8(B, A), C))) ) ) ) ) ) ) ) ).
fof(t18_jordan1d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(1, C) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan9(B, A)), C))  & r2_tarski(k18_pscomp_1(B), k4_goboard5(k1_jordan9(B, A), C))) ) ) ) ) ) ) ) ).
fof(t19_jordan1d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(1, C) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan9(B, A)), C))  & r2_tarski(k19_pscomp_1(B), k1_gobrd13(k1_jordan9(B, A), k1_jordan8(B, A), C))) ) ) ) ) ) ) ) ).
fof(t20_jordan1d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(1, C) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan9(B, A)), C))  & r2_tarski(k19_pscomp_1(B), k4_goboard5(k1_jordan9(B, A), C))) ) ) ) ) ) ) ) ).
fof(t21_jordan1d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(k1_jordan8(B, A))) & k20_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, k1_matrix_0(k1_jordan8(B, A)))) ) ) ) ) ) ) ) ).
fof(t22_jordan1d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(k1_jordan8(B, A))) & k21_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, k1_matrix_0(k1_jordan8(B, A)))) ) ) ) ) ) ) ) ).
fof(t23_jordan1d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(k1_jordan8(B, A))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, k1_matrix_0(k1_jordan8(B, A))), k10_xtuple_0(k1_jordan9(B, A)))) ) ) ) ) ) ) ) ).
fof(t24_jordan1d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(k1_jordan8(B, A))) & k23_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), k3_finseq_1(k1_jordan8(B, A)), C)) ) ) ) ) ) ) ) ).
fof(t25_jordan1d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(k1_jordan8(B, A))) & k22_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), k3_finseq_1(k1_jordan8(B, A)), C)) ) ) ) ) ) ) ) ).
fof(t26_jordan1d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(k1_jordan8(B, A))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), k3_finseq_1(k1_jordan8(B, A)), C), k10_xtuple_0(k1_jordan9(B, A)))) ) ) ) ) ) ) ) ).
fof(t27_jordan1d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(k1_jordan8(B, A))) & k25_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, 1)) ) ) ) ) ) ) ) ).
fof(t28_jordan1d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(k1_jordan8(B, A))) & k24_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, 1)) ) ) ) ) ) ) ) ).
fof(t29_jordan1d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(k1_jordan8(B, A))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, 1), k10_xtuple_0(k1_jordan9(B, A)))) ) ) ) ) ) ) ) ).
fof(t30_jordan1d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(k1_jordan8(B, A))) & k18_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), 1, C)) ) ) ) ) ) ) ) ).
fof(t31_jordan1d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(k1_jordan8(B, A))) & k19_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), 1, C)) ) ) ) ) ) ) ) ).
fof(t32_jordan1d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(k1_jordan8(B, A))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), 1, C), k10_xtuple_0(k1_jordan9(B, A)))) ) ) ) ) ) ) ) ).
fof(t6_jordan1d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v2_compts_1(D, k15_euclid(2)) &  ( ~ (v1_sppol_1(D))  &  ( ~ (v2_sppol_1(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(2, B) & r1_xxreal_0(2, C))  =>  (r1_xxreal_0(k3_finseq_1(k1_jordan8(D, A)), k1_nat_1(B, 1)) |  (r1_xxreal_0(k3_finseq_1(k1_jordan8(D, A)), k1_nat_1(C, 1)) | k3_goboard5(k1_jordan8(D, A), B, C)=k3_tarski(a_5_0_jordan1d(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_5_0_jordan1d, axiom,  (! [A, B, C, D, E, F] :  ( (v7_ordinal1(B) &  (v7_ordinal1(C) &  (v7_ordinal1(D) &  ( (v2_compts_1(E, k15_euclid(2)) &  ( ~ (v1_sppol_1(E))  &  ( ~ (v2_sppol_1(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  & v7_ordinal1(F)) ) ) )  =>  (r2_hidden(A, a_5_0_jordan1d(B, C, D, E, F)) <=>  (? [G, H] :  ( (v7_ordinal1(G) & v7_ordinal1(H))  &  (A=k3_goboard5(k1_jordan8(E, k2_xcmplx_0(B, F)), G, H) &  (r1_xxreal_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_newton(2, F), C), k11_newton(2, k1_nat_1(F, 1))), 2), G) &  (r1_xxreal_0(G, k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_newton(2, F), C), k1_newton(2, F)), 1)) &  (r1_xxreal_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_newton(2, F), D), k11_newton(2, k1_nat_1(F, 1))), 2), H) & r1_xxreal_0(H, k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_newton(2, F), D), k1_newton(2, F)), 1))) ) ) ) ) ) ) ) ) ).
fof(fc1_jordan1e, axiom,  (! [A, B] :  ( ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  & v7_ordinal1(B))  =>  ~ (v1_xboole_0(k1_jordan1e(A, B))) ) ) ).
fof(fc2_jordan1e, axiom,  (! [A, B] :  ( ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  & v7_ordinal1(B))  =>  ~ (v1_xboole_0(k2_jordan1e(A, B))) ) ) ).
fof(fc3_jordan1e, axiom,  (! [A, B] :  ( ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  & v7_ordinal1(B))  =>  (v2_funct_1(k1_jordan1e(A, B)) &  (v1_topreal1(k1_jordan1e(A, B)) &  (v2_topreal1(k1_jordan1e(A, B)) & v3_topreal1(k1_jordan1e(A, B))) ) ) ) ) ).
fof(fc4_jordan1e, axiom,  (! [A, B] :  ( ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  & v7_ordinal1(B))  =>  (v2_funct_1(k2_jordan1e(A, B)) &  (v1_topreal1(k2_jordan1e(A, B)) &  (v2_topreal1(k2_jordan1e(A, B)) & v3_topreal1(k2_jordan1e(A, B))) ) ) ) ) ).
fof(fc5_jordan1e, axiom,  (! [A, B] :  ( ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  & v7_ordinal1(B))  => v4_topreal1(k1_jordan1e(A, B))) ) ).
fof(fc6_jordan1e, axiom,  (! [A, B] :  ( ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  & v7_ordinal1(B))  => v4_topreal1(k2_jordan1e(A, B))) ) ).
fof(t1_jordan1e, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (r1_sprect_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(C, k10_xtuple_0(A)) => r1_sprect_2(B, k1_finseq_5(u1_struct_0(k15_euclid(2)), A, C))) ) ) ) ) ) ) ) ).
fof(t2_jordan1e, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (r1_sprect_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(C, k10_xtuple_0(A)) => r1_sprect_2(B, k2_finseq_5(u1_struct_0(k15_euclid(2)), A, C))) ) ) ) ) ) ) ) ).
fof(t3_jordan1e, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(B, k3_topreal1(2, A)) & k2_jordan3(A, B)=k1_xboole_0) ) ) ) ) ) ).
fof(t4_jordan1e, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(B, k3_topreal1(2, A)) & r1_xxreal_0(2, k3_finseq_1(k3_jordan3(A, B))))  => r2_tarski(k1_funct_1(A, 1), k3_topreal1(2, k3_jordan3(A, B)))) ) ) ) ) ).
fof(t5_jordan1e, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (v4_topreal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(B, k3_topreal1(2, A)) & r2_tarski(k1_funct_1(A, 1), k3_topreal1(2, k3_finseq_6(u1_struct_0(k15_euclid(2)), A, k1_nat_1(k1_jordan3(A, B), 1), k3_finseq_1(A))))) ) ) ) ) ) ) ).
fof(t6_jordan1e, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (k2_xcmplx_0(A, B)=k2_xcmplx_0(C, D) &  (r1_xxreal_0(A, C) & r1_xxreal_0(B, D)) )  => A=C) ) ) ) ) ) ) ) ) ).
fof(t7_jordan1e, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (v4_topreal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(B, k3_topreal1(2, A)) & r2_tarski(k1_funct_1(A, 1), k3_topreal1(2, k2_jordan3(A, B))))  => k1_funct_1(A, 1)=B) ) ) ) ) ) ).
fof(d1_jordan1e, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (! [B] :  (v7_ordinal1(B) => k1_jordan1e(A, B)=k1_finseq_5(u1_struct_0(k15_euclid(2)), k1_finseq_6(u1_struct_0(k15_euclid(2)), k1_jordan9(A, B), k18_pscomp_1(k3_topreal1(2, k1_jordan9(A, B)))), k22_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))))) ) ) ) ).
fof(t8_jordan1e, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (! [B] :  (v7_ordinal1(B) => k3_finseq_1(k1_jordan1e(A, B))=k4_finseq_4(k1_finseq_6(u1_struct_0(k15_euclid(2)), k1_jordan9(A, B), k18_pscomp_1(k3_topreal1(2, k1_jordan9(A, B)))), k22_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))))) ) ) ) ).
fof(d2_jordan1e, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (! [B] :  (v7_ordinal1(B) => k2_jordan1e(A, B)=k2_finseq_5(u1_struct_0(k15_euclid(2)), k1_finseq_6(u1_struct_0(k15_euclid(2)), k1_jordan9(A, B), k18_pscomp_1(k3_topreal1(2, k1_jordan9(A, B)))), k22_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))))) ) ) ) ).
fof(t9_jordan1e, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (! [B] :  (v7_ordinal1(B) => k3_finseq_1(k2_jordan1e(A, B))=k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(k1_finseq_6(u1_struct_0(k15_euclid(2)), k1_jordan9(A, B), k18_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))))), k4_finseq_4(k1_finseq_6(u1_struct_0(k15_euclid(2)), k1_jordan9(A, B), k18_pscomp_1(k3_topreal1(2, k1_jordan9(A, B)))), k22_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))))), 1)) ) ) ) ).
fof(t10_jordan1e, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (! [B] :  (v7_ordinal1(B) => k1_nat_1(k3_finseq_1(k1_jordan1e(A, B)), k3_finseq_1(k2_jordan1e(A, B)))=k1_nat_1(k3_finseq_1(k1_jordan9(A, B)), 1)) ) ) ) ).
fof(t11_jordan1e, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (! [B] :  (v7_ordinal1(B) => k1_finseq_6(u1_struct_0(k15_euclid(2)), k1_jordan9(A, B), k18_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))))=k7_finseq_6(u1_struct_0(k15_euclid(2)), k1_jordan1e(A, B), k2_jordan1e(A, B))) ) ) ) ).
fof(t12_jordan1e, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (! [B] :  (v7_ordinal1(B) => k3_topreal1(2, k1_jordan9(A, B))=k3_topreal1(2, k7_finseq_6(u1_struct_0(k15_euclid(2)), k1_jordan1e(A, B), k2_jordan1e(A, B)))) ) ) ) ).
fof(t13_jordan1e, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) => k3_topreal1(2, k1_jordan9(A, B))=k4_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, k1_jordan1e(A, B)), k3_topreal1(2, k2_jordan1e(A, B)))) ) ) ) ).
fof(t14_jordan1e, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ (k18_pscomp_1(A)=k23_pscomp_1(A)) ) ) ).
fof(t15_jordan1e, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(3, k3_finseq_1(k1_jordan1e(A, B))) & r1_xxreal_0(3, k3_finseq_1(k2_jordan1e(A, B)))) ) ) ) ) ).
fof(t16_jordan1e, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (! [B] :  (v7_ordinal1(B) => k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, k1_jordan1e(A, B)), k3_topreal1(2, k2_jordan1e(A, B)))=k2_tarski(k18_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))), k22_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))))) ) ) ) ).
fof(t17_jordan1e, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  => r1_sprect_2(k1_jordan9(B, A), k1_jordan1e(B, A))) ) ) ) ).
fof(t18_jordan1e, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  => r1_sprect_2(k1_jordan9(B, A), k2_jordan1e(B, A))) ) ) ) ).
fof(t19_jordan1e, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  => k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), k1_jordan9(B, A), 2))=k7_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))) ) ) ) ).
fof(t20_jordan1e, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(k1_jordan9(B, A))) & k7_partfun1(u1_struct_0(k15_euclid(2)), k1_jordan9(B, A), C)=k22_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))) )  => k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), k1_jordan9(B, A), k1_nat_1(C, 1)))=k8_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))) ) ) ) ) ) ) ).
fof(t21_jordan1e, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(k1_jordan9(B, A))) & k7_partfun1(u1_struct_0(k15_euclid(2)), k1_jordan9(B, A), C)=k24_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))) )  => k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), k1_jordan9(B, A), k1_nat_1(C, 1)))=k9_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))) ) ) ) ) ) ) ).
fof(t22_jordan1e, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(k1_jordan9(B, A))) & k7_partfun1(u1_struct_0(k15_euclid(2)), k1_jordan9(B, A), C)=k18_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))) )  => k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), k1_jordan9(B, A), k1_nat_1(C, 1)))=k6_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))) ) ) ) ) ) ) ).
fof(dt_k1_jordan1e, axiom,  (! [A, B] :  ( ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  & v7_ordinal1(B))  => m2_finseq_1(k1_jordan1e(A, B), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k2_jordan1e, axiom,  (! [A, B] :  ( ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  & v7_ordinal1(B))  => m2_finseq_1(k2_jordan1e(A, B), u1_struct_0(k15_euclid(2)))) ) ).
fof(t1_jordan1f, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ~ ( (r1_goboard1(u1_struct_0(k15_euclid(2)), D, E) &  ( ~ (r1_xboole_0(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, C)), k3_topreal1(2, D)))  &  (r2_hidden(k4_tarski(A, B), k2_matrix_0(E)) &  (r2_hidden(k4_tarski(A, C), k2_matrix_0(E)) &  (r1_xxreal_0(B, C) &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r1_xxreal_0(B, F) &  (r1_xxreal_0(F, C) & k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, F))=k3_seq_4(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, C)), k3_topreal1(2, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_jordan1f, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ~ ( (r1_goboard1(u1_struct_0(k15_euclid(2)), D, E) &  ( ~ (r1_xboole_0(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, C)), k3_topreal1(2, D)))  &  (r2_hidden(k4_tarski(A, B), k2_matrix_0(E)) &  (r2_hidden(k4_tarski(A, C), k2_matrix_0(E)) &  (r1_xxreal_0(B, C) &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r1_xxreal_0(B, F) &  (r1_xxreal_0(F, C) & k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, F))=k2_seq_4(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, C)), k3_topreal1(2, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_jordan1f, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ~ ( (r1_goboard1(u1_struct_0(k15_euclid(2)), D, E) &  ( ~ (r1_xboole_0(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), E, B, A), k3_matrix_0(u1_struct_0(k15_euclid(2)), E, C, A)), k3_topreal1(2, D)))  &  (r2_hidden(k4_tarski(B, A), k2_matrix_0(E)) &  (r2_hidden(k4_tarski(C, A), k2_matrix_0(E)) &  (r1_xxreal_0(B, C) &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r1_xxreal_0(B, F) &  (r1_xxreal_0(F, C) & k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), E, F, A))=k3_seq_4(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k4_pscomp_1, k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), E, B, A), k3_matrix_0(u1_struct_0(k15_euclid(2)), E, C, A)), k3_topreal1(2, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_jordan1f, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ~ ( (r1_goboard1(u1_struct_0(k15_euclid(2)), D, E) &  ( ~ (r1_xboole_0(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), E, B, A), k3_matrix_0(u1_struct_0(k15_euclid(2)), E, C, A)), k3_topreal1(2, D)))  &  (r2_hidden(k4_tarski(B, A), k2_matrix_0(E)) &  (r2_hidden(k4_tarski(C, A), k2_matrix_0(E)) &  (r1_xxreal_0(B, C) &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r1_xxreal_0(B, F) &  (r1_xxreal_0(F, C) & k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), E, F, A))=k2_seq_4(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k4_pscomp_1, k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), E, B, A), k3_matrix_0(u1_struct_0(k15_euclid(2)), E, C, A)), k3_topreal1(2, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_jordan1f, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (! [B] :  (v7_ordinal1(B) => k7_partfun1(u1_struct_0(k15_euclid(2)), k1_jordan1e(A, B), 1)=k18_pscomp_1(k3_topreal1(2, k1_jordan9(A, B)))) ) ) ) ).
fof(t6_jordan1f, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (! [B] :  (v7_ordinal1(B) => k7_partfun1(u1_struct_0(k15_euclid(2)), k2_jordan1e(A, B), 1)=k22_pscomp_1(k3_topreal1(2, k1_jordan9(A, B)))) ) ) ) ).
fof(t7_jordan1f, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (! [B] :  (v7_ordinal1(B) => k7_partfun1(u1_struct_0(k15_euclid(2)), k1_jordan1e(A, B), k3_finseq_1(k1_jordan1e(A, B)))=k22_pscomp_1(k3_topreal1(2, k1_jordan9(A, B)))) ) ) ) ).
fof(t8_jordan1f, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (! [B] :  (v7_ordinal1(B) => k7_partfun1(u1_struct_0(k15_euclid(2)), k2_jordan1e(A, B), k3_finseq_1(k2_jordan1e(A, B)))=k18_pscomp_1(k3_topreal1(2, k1_jordan9(A, B)))) ) ) ) ).
fof(t9_jordan1f, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (k3_topreal1(2, k1_jordan1e(A, B))=k8_jordan6(k3_topreal1(2, k1_jordan9(A, B))) & k3_topreal1(2, k2_jordan1e(A, B))=k9_jordan6(k3_topreal1(2, k1_jordan9(A, B))))  |  (k3_topreal1(2, k1_jordan1e(A, B))=k9_jordan6(k3_topreal1(2, k1_jordan9(A, B))) & k3_topreal1(2, k2_jordan1e(A, B))=k8_jordan6(k3_topreal1(2, k1_jordan9(A, B)))) ) ) ) ) ) ).
fof(t10_jordan1f, axiom,  (! [A] :  ( (v2_connsp_1(A, k15_euclid(2)) &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) => r1_goboard1(u1_struct_0(k15_euclid(2)), k1_jordan1e(A, B), k1_jordan8(A, B))) ) ) ) ).
fof(t11_jordan1f, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r1_goboard1(u1_struct_0(k15_euclid(2)), C, A) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ( (r2_hidden(k4_tarski(D, E), k2_matrix_0(A)) &  (r2_hidden(k4_tarski(F, G), k2_matrix_0(A)) &  (B=k3_matrix_0(u1_struct_0(k15_euclid(2)), A, D, E) & k7_partfun1(u1_struct_0(k15_euclid(2)), C, 1)=k3_matrix_0(u1_struct_0(k15_euclid(2)), A, F, G)) ) )  => k2_xcmplx_0(k9_complex1(k6_xcmplx_0(F, D)), k9_complex1(k6_xcmplx_0(G, E)))=1) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_hidden(k4_tarski(D, E), k2_matrix_0(A)) & B=k3_matrix_0(u1_struct_0(k15_euclid(2)), A, D, E)) ) ) ) ) )  | r1_goboard1(u1_struct_0(k15_euclid(2)), k8_finseq_1(u1_struct_0(k15_euclid(2)), k13_matrix_0(u1_struct_0(k15_euclid(2)), B), C), A)) ) ) ) ) ) ) ) ).
fof(t12_jordan1f, axiom,  (! [A] :  ( (v2_connsp_1(A, k15_euclid(2)) &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) => r1_goboard1(u1_struct_0(k15_euclid(2)), k2_jordan1e(A, B), k1_jordan8(A, B))) ) ) ) ).
fof(t13_jordan1f, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_topreal2(B) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (k17_euclid(C)=k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(B), k8_pscomp_1(B)), 2) &  (k18_euclid(C)=k3_seq_4(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, 1), k1_jordan1a(k1_jordan8(B, 1)), 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, 1), k1_jordan1a(k1_jordan8(B, 1)), k1_matrix_0(k1_jordan8(B, 1)))), k8_jordan6(k3_topreal1(2, k1_jordan9(B, k1_nat_1(A, 1))))))) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k1_matrix_0(k1_jordan8(B, k1_nat_1(A, 1)))) & C=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_jordan1g, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_zfmisc_1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ).
fof(fc1_jordan1g, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_zfmisc_1(A))  &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  =>  (v1_relat_1(k3_finseq_5(A)) &  ( ~ (v1_zfmisc_1(k3_finseq_5(A)))  &  (v1_funct_1(k3_finseq_5(A)) & v1_finseq_1(k3_finseq_5(A))) ) ) ) ) ).
fof(fc2_jordan1g, axiom,  (! [A, B] :  ( ( (v2_connsp_1(A, k15_euclid(2)) &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  & v7_ordinal1(B))  => v2_goboard5(k1_jordan1e(A, B))) ) ).
fof(fc3_jordan1g, axiom,  (! [A, B] :  ( ( (v2_connsp_1(A, k15_euclid(2)) &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  & v7_ordinal1(B))  => v2_goboard5(k2_jordan1e(A, B))) ) ).
fof(t1_jordan1g, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_zfmisc_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  =>  ~ ( ( ~ (v1_xboole_0(A))  &  (! [B] :  ~ (A=k9_finseq_1(B)) ) ) ) ) ) ).
fof(t2_jordan1g, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(A)))  =>  (! [D] :  (r1_goboard1(A, B, C) => r1_goboard1(A, k1_finseq_5(A, B, D), C)) ) ) ) ) ) ) ) ).
fof(t3_jordan1g, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(A)))  =>  (! [D] :  (m1_subset_1(D, A) =>  ( (r2_tarski(D, k10_xtuple_0(B)) & r1_goboard1(A, B, C))  => r1_goboard1(A, k2_finseq_5(A, B, D), C)) ) ) ) ) ) ) ) ) ).
fof(t4_jordan1g, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  => r1_goboard1(u1_struct_0(k15_euclid(2)), k1_jordan1e(B, A), k1_jordan8(B, A))) ) ) ) ).
fof(t5_jordan1g, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  => r1_goboard1(u1_struct_0(k15_euclid(2)), k2_jordan1e(B, A), k1_jordan8(B, A))) ) ) ) ).
fof(t6_jordan1g, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_goboard1(A) &  (v3_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_hidden(k4_tarski(B, D), k2_matrix_0(A)) &  (r2_hidden(k4_tarski(C, E), k2_matrix_0(A)) & k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), A, B, D))=k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), A, C, E))) )  => D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_jordan1g, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v1_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_hidden(k4_tarski(B, D), k2_matrix_0(A)) &  (r2_hidden(k4_tarski(C, E), k2_matrix_0(A)) & k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), A, B, D))=k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), A, C, E))) )  => B=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_jordan1g, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) )  =>  ~ ( ( ( ( ~ (k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1)=k20_pscomp_1(k3_topreal1(2, A)))  &  ~ (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))=k20_pscomp_1(k3_topreal1(2, A))) )  |  ( ~ (k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1)=k21_pscomp_1(k3_topreal1(2, A)))  &  ~ (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))=k21_pscomp_1(k3_topreal1(2, A))) ) )  & r1_xxreal_0(k17_euclid(k21_pscomp_1(k3_topreal1(2, A))), k17_euclid(k20_pscomp_1(k3_topreal1(2, A))))) ) ) ) ).
fof(t9_jordan1g, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) )  =>  ~ ( ( ( ( ~ (k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1)=k20_pscomp_1(k3_topreal1(2, A)))  &  ~ (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))=k20_pscomp_1(k3_topreal1(2, A))) )  |  ( ~ (k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1)=k21_pscomp_1(k3_topreal1(2, A)))  &  ~ (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))=k21_pscomp_1(k3_topreal1(2, A))) ) )  & k20_pscomp_1(k3_topreal1(2, A))=k21_pscomp_1(k3_topreal1(2, A))) ) ) ) ).
fof(t10_jordan1g, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) )  =>  ~ ( ( ( ( ~ (k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1)=k25_pscomp_1(k3_topreal1(2, A)))  &  ~ (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))=k25_pscomp_1(k3_topreal1(2, A))) )  |  ( ~ (k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1)=k24_pscomp_1(k3_topreal1(2, A)))  &  ~ (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))=k24_pscomp_1(k3_topreal1(2, A))) ) )  & r1_xxreal_0(k17_euclid(k24_pscomp_1(k3_topreal1(2, A))), k17_euclid(k25_pscomp_1(k3_topreal1(2, A))))) ) ) ) ).
fof(t11_jordan1g, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) )  =>  ~ ( ( ( ( ~ (k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1)=k25_pscomp_1(k3_topreal1(2, A)))  &  ~ (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))=k25_pscomp_1(k3_topreal1(2, A))) )  |  ( ~ (k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1)=k24_pscomp_1(k3_topreal1(2, A)))  &  ~ (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))=k24_pscomp_1(k3_topreal1(2, A))) ) )  & k25_pscomp_1(k3_topreal1(2, A))=k24_pscomp_1(k3_topreal1(2, A))) ) ) ) ).
fof(t12_jordan1g, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) )  =>  ~ ( ( ( ( ~ (k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1)=k18_pscomp_1(k3_topreal1(2, A)))  &  ~ (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))=k18_pscomp_1(k3_topreal1(2, A))) )  |  ( ~ (k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1)=k19_pscomp_1(k3_topreal1(2, A)))  &  ~ (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))=k19_pscomp_1(k3_topreal1(2, A))) ) )  & r1_xxreal_0(k18_euclid(k19_pscomp_1(k3_topreal1(2, A))), k18_euclid(k18_pscomp_1(k3_topreal1(2, A))))) ) ) ) ).
fof(t13_jordan1g, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) )  =>  ~ ( ( ( ( ~ (k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1)=k18_pscomp_1(k3_topreal1(2, A)))  &  ~ (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))=k18_pscomp_1(k3_topreal1(2, A))) )  |  ( ~ (k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1)=k19_pscomp_1(k3_topreal1(2, A)))  &  ~ (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))=k19_pscomp_1(k3_topreal1(2, A))) ) )  & k18_pscomp_1(k3_topreal1(2, A))=k19_pscomp_1(k3_topreal1(2, A))) ) ) ) ).
fof(t14_jordan1g, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) )  =>  ~ ( ( ( ( ~ (k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1)=k23_pscomp_1(k3_topreal1(2, A)))  &  ~ (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))=k23_pscomp_1(k3_topreal1(2, A))) )  |  ( ~ (k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1)=k22_pscomp_1(k3_topreal1(2, A)))  &  ~ (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))=k22_pscomp_1(k3_topreal1(2, A))) ) )  & r1_xxreal_0(k18_euclid(k22_pscomp_1(k3_topreal1(2, A))), k18_euclid(k23_pscomp_1(k3_topreal1(2, A))))) ) ) ) ).
fof(t15_jordan1g, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) )  =>  ~ ( ( ( ( ~ (k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1)=k23_pscomp_1(k3_topreal1(2, A)))  &  ~ (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))=k23_pscomp_1(k3_topreal1(2, A))) )  |  ( ~ (k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1)=k22_pscomp_1(k3_topreal1(2, A)))  &  ~ (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))=k22_pscomp_1(k3_topreal1(2, A))) ) )  & k23_pscomp_1(k3_topreal1(2, A))=k22_pscomp_1(k3_topreal1(2, A))) ) ) ) ).
fof(t16_jordan1g, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  ( (r2_tarski(C, k10_xtuple_0(B)) &  (r2_tarski(D, k10_xtuple_0(B)) & r1_xxreal_0(k4_finseq_4(B, D), k4_finseq_4(B, C))) )  => k2_finseq_5(A, k1_finseq_5(A, B, C), D)=k1_finseq_5(A, k2_finseq_5(A, B, D), C)) ) ) ) ) ) ) ) ) ).
fof(t17_jordan1g, axiom,  (! [A] :  ( (v2_connsp_1(A, k15_euclid(2)) &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) => k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, k1_finseq_5(u1_struct_0(k15_euclid(2)), k1_jordan9(A, B), k18_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))))), k3_topreal1(2, k2_finseq_5(u1_struct_0(k15_euclid(2)), k1_jordan9(A, B), k18_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))))))=k2_tarski(k20_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))), k18_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))))) ) ) ) ).
fof(t18_jordan1g, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  => k2_jordan1e(B, A)=k1_finseq_5(u1_struct_0(k15_euclid(2)), k1_finseq_6(u1_struct_0(k15_euclid(2)), k1_jordan9(B, A), k22_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))), k18_pscomp_1(k3_topreal1(2, k1_jordan9(B, A))))) ) ) ) ).
fof(t19_jordan1g, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  => k4_finseq_4(k1_jordan1e(B, A), k18_pscomp_1(k3_topreal1(2, k1_jordan9(B, A))))=1) ) ) ) ).
fof(t20_jordan1g, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  ~ (r1_xxreal_0(k4_finseq_4(k1_jordan1e(B, A), k19_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))), k4_finseq_4(k1_jordan1e(B, A), k18_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))))) ) ) ) ) ).
fof(t21_jordan1g, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  => r1_xxreal_0(k4_finseq_4(k1_jordan1e(B, A), k19_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))), k4_finseq_4(k1_jordan1e(B, A), k20_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))))) ) ) ) ).
fof(t22_jordan1g, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  ~ (r1_xxreal_0(k4_finseq_4(k1_jordan1e(B, A), k21_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))), k4_finseq_4(k1_jordan1e(B, A), k20_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))))) ) ) ) ) ).
fof(t23_jordan1g, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  => r1_xxreal_0(k4_finseq_4(k1_jordan1e(B, A), k21_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))), k4_finseq_4(k1_jordan1e(B, A), k22_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))))) ) ) ) ).
fof(t24_jordan1g, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  => k4_finseq_4(k1_jordan1e(B, A), k22_pscomp_1(k3_topreal1(2, k1_jordan9(B, A))))=k3_finseq_1(k1_jordan1e(B, A))) ) ) ) ).
fof(t25_jordan1g, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  => k4_finseq_4(k2_jordan1e(B, A), k22_pscomp_1(k3_topreal1(2, k1_jordan9(B, A))))=1) ) ) ) ).
fof(t26_jordan1g, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  ~ (r1_xxreal_0(k4_finseq_4(k2_jordan1e(B, A), k23_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))), k4_finseq_4(k2_jordan1e(B, A), k22_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))))) ) ) ) ) ).
fof(t27_jordan1g, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  => r1_xxreal_0(k4_finseq_4(k2_jordan1e(B, A), k23_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))), k4_finseq_4(k2_jordan1e(B, A), k24_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))))) ) ) ) ).
fof(t28_jordan1g, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  ~ (r1_xxreal_0(k4_finseq_4(k2_jordan1e(B, A), k25_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))), k4_finseq_4(k2_jordan1e(B, A), k24_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))))) ) ) ) ) ).
fof(t29_jordan1g, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  => r1_xxreal_0(k4_finseq_4(k2_jordan1e(B, A), k25_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))), k4_finseq_4(k2_jordan1e(B, A), k18_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))))) ) ) ) ).
fof(t30_jordan1g, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  => k4_finseq_4(k2_jordan1e(B, A), k18_pscomp_1(k3_topreal1(2, k1_jordan9(B, A))))=k3_finseq_1(k2_jordan1e(B, A))) ) ) ) ).
fof(t31_jordan1g, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  => k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), k1_jordan1e(B, A), 2))=k6_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))) ) ) ) ).
fof(t32_jordan1g, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  => k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), k2_jordan1e(B, A), 2))=k8_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))) ) ) ) ).
fof(t33_jordan1g, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  => k2_xcmplx_0(k6_pscomp_1(k3_topreal1(2, k1_jordan9(B, A))), k8_pscomp_1(k3_topreal1(2, k1_jordan9(B, A))))=k2_xcmplx_0(k6_pscomp_1(B), k8_pscomp_1(B))) ) ) ) ).
fof(t34_jordan1g, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  => k2_xcmplx_0(k9_pscomp_1(k3_topreal1(2, k1_jordan9(B, A))), k7_pscomp_1(k3_topreal1(2, k1_jordan9(B, A))))=k2_xcmplx_0(k9_pscomp_1(B), k7_pscomp_1(B))) ) ) ) ).
fof(t35_jordan1g, axiom,  (! [A] :  ( (v2_connsp_1(A, k15_euclid(2)) &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, k1_matrix_0(k1_jordan8(A, B))))  =>  (r1_xxreal_0(B, k5_numbers) | k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), k1_jordan1a(k1_jordan8(A, B)), C))=k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2)) ) ) ) ) ) ) ) ).
fof(t36_jordan1g, axiom,  (! [A] :  ( (v2_connsp_1(A, k15_euclid(2)) &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, k3_finseq_1(k1_jordan8(A, B))))  =>  (r1_xxreal_0(B, k5_numbers) | k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), C, k1_jordan1a(k1_jordan8(A, B))))=k7_xcmplx_0(k2_xcmplx_0(k9_pscomp_1(A), k7_pscomp_1(A)), 2)) ) ) ) ) ) ) ) ).
fof(t37_jordan1g, axiom,  (! [A] :  ( (v4_topreal1(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k3_finseq_1(A)) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(A)) &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1), k3_topreal1(2, k3_finseq_6(u1_struct_0(k15_euclid(2)), A, B, C))) &  ( ~ (B=1)  &  ~ (C=1) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_jordan1g, axiom,  (! [A] :  ( (v4_topreal1(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k3_finseq_1(A)) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(A)) &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A)), k3_topreal1(2, k3_finseq_6(u1_struct_0(k15_euclid(2)), A, B, C))) &  ( ~ (B=k3_finseq_1(A))  &  ~ (C=k3_finseq_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_jordan1g, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_tarski(k10_xtuple_0(k1_jordan1e(A, B)), k10_xtuple_0(k1_jordan9(A, B))) & r1_tarski(k10_xtuple_0(k2_jordan1e(A, B)), k10_xtuple_0(k1_jordan9(A, B)))) ) ) ) ) ).
fof(t40_jordan1g, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  => r2_sprect_2(k1_jordan9(B, A), k1_jordan1e(B, A))) ) ) ) ).
fof(t41_jordan1g, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  => r2_sprect_2(k1_jordan9(B, A), k4_finseq_5(u1_struct_0(k15_euclid(2)), k2_jordan1e(B, A)))) ) ) ) ).
fof(t42_jordan1g, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  (r1_xxreal_0(C, k3_finseq_1(k1_jordan8(B, A))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, 1), k10_xtuple_0(k1_jordan1e(B, A)))) ) ) ) ) ) ) ) ) ).
fof(t43_jordan1g, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, C) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), C))  & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, k1_matrix_0(k1_jordan8(B, A))), k10_xtuple_0(k2_jordan1e(B, A)))) ) ) ) ) ) ) ) ) ).
fof(t44_jordan1g, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  (r1_xxreal_0(C, k3_finseq_1(k1_jordan8(B, A))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, 1), k3_topreal1(2, k1_jordan1e(B, A)))) ) ) ) ) ) ) ) ) ).
fof(t45_jordan1g, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, C) &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), C))  & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, k1_matrix_0(k1_jordan8(B, A))), k3_topreal1(2, k2_jordan1e(B, A)))) ) ) ) ) ) ) ) ) ).
fof(t46_jordan1g, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(k1_jordan8(B, A))) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k1_matrix_0(k1_jordan8(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_topreal1(2, k1_jordan9(B, A))) & r1_xboole_0(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D)), k3_topreal1(2, k2_jordan1e(B, A)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_jordan1g, axiom,  (! [A] :  ( (v2_connsp_1(A, k15_euclid(2)) &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  => r2_tarski(k1_jordan5c(k3_topreal1(2, k1_jordan1e(A, B)), k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))), k8_pscomp_1(k3_topreal1(2, k1_jordan9(A, B)))), 2)), k18_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))), k22_pscomp_1(k3_topreal1(2, k1_jordan9(A, B)))), k10_xtuple_0(k1_jordan1e(A, B)))) ) ) ) ) ).
fof(t48_jordan1g, axiom,  (! [A] :  ( (v2_connsp_1(A, k15_euclid(2)) &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  => r2_tarski(k2_jordan5c(k3_topreal1(2, k2_jordan1e(A, B)), k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))), k8_pscomp_1(k3_topreal1(2, k1_jordan9(A, B)))), 2)), k22_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))), k18_pscomp_1(k3_topreal1(2, k1_jordan9(A, B)))), k10_xtuple_0(k2_jordan1e(A, B)))) ) ) ) ) ).
fof(t49_jordan1g, axiom,  (! [A] :  ( (v4_topreal1(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k10_xtuple_0(A)) => k3_jordan3(A, B)=k3_finseq_6(u1_struct_0(k15_euclid(2)), A, 1, k4_finseq_4(A, B))) ) ) ) ) ).
fof(t50_jordan1g, axiom,  (! [A] :  ( (v4_topreal1(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (! [B] :  ( (v4_pre_topc(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (r2_tarski(k1_jordan5c(k3_topreal1(2, A), B, k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))), k10_xtuple_0(A)) =>  (r1_xboole_0(k3_topreal1(2, A), B) |  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1), B) | k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, k3_finseq_6(u1_struct_0(k15_euclid(2)), A, 1, k4_finseq_4(A, k1_jordan5c(k3_topreal1(2, A), B, k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A)))))), B)=k1_tarski(k1_jordan5c(k3_topreal1(2, A), B, k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))))) ) ) ) ) ) ) ).
fof(t51_jordan1g, axiom,  (! [A] :  ( (v2_connsp_1(A, k15_euclid(2)) &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, C) &  ( ~ (r1_xxreal_0(k4_finseq_4(k1_jordan1e(A, B), k1_jordan5c(k3_topreal1(2, k1_jordan1e(A, B)), k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))), k8_pscomp_1(k3_topreal1(2, k1_jordan9(A, B)))), 2)), k18_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))), k22_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))))), C))  & r1_xxreal_0(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))), k8_pscomp_1(k3_topreal1(2, k1_jordan9(A, B)))), 2), k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), k1_jordan1e(A, B), C)))) ) ) ) ) ) ) ) ) ) ).
fof(t52_jordan1g, axiom,  (! [A] :  ( (v2_connsp_1(A, k15_euclid(2)) &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, C) &  ( ~ (r1_xxreal_0(k4_finseq_4(k4_finseq_5(u1_struct_0(k15_euclid(2)), k2_jordan1e(A, B)), k1_jordan5c(k3_topreal1(2, k4_finseq_5(u1_struct_0(k15_euclid(2)), k2_jordan1e(A, B))), k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))), k8_pscomp_1(k3_topreal1(2, k1_jordan9(A, B)))), 2)), k18_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))), k22_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))))), C))  & r1_xxreal_0(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))), k8_pscomp_1(k3_topreal1(2, k1_jordan9(A, B)))), 2), k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), k4_finseq_5(u1_struct_0(k15_euclid(2)), k2_jordan1e(A, B)), C)))) ) ) ) ) ) ) ) ) ) ).
fof(t53_jordan1g, axiom,  (! [A] :  ( (v2_connsp_1(A, k15_euclid(2)) &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(C, k10_xtuple_0(k3_finseq_6(u1_struct_0(k15_euclid(2)), k1_jordan1e(A, B), 2, k4_finseq_4(k1_jordan1e(A, B), k1_jordan5c(k3_topreal1(2, k1_jordan1e(A, B)), k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))), k8_pscomp_1(k3_topreal1(2, k1_jordan9(A, B)))), 2)), k18_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))), k22_pscomp_1(k3_topreal1(2, k1_jordan9(A, B)))))))) => r1_xxreal_0(k17_euclid(C), k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))), k8_pscomp_1(k3_topreal1(2, k1_jordan9(A, B)))), 2))) ) ) ) ) ) ) ) ).
fof(t54_jordan1g, axiom,  (! [A] :  ( (v2_connsp_1(A, k15_euclid(2)) &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  & r1_xxreal_0(k18_euclid(k1_jordan5c(k3_topreal1(2, k1_jordan1e(A, B)), k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))), k8_pscomp_1(k3_topreal1(2, k1_jordan9(A, B)))), 2)), k18_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))), k22_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))))), k18_euclid(k2_jordan5c(k3_topreal1(2, k2_jordan1e(A, B)), k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))), k8_pscomp_1(k3_topreal1(2, k1_jordan9(A, B)))), 2)), k22_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))), k18_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))))))) ) ) ) ) ) ).
fof(t55_jordan1g, axiom,  (! [A] :  ( (v2_connsp_1(A, k15_euclid(2)) &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  => k3_topreal1(2, k1_jordan1e(A, B))=k8_jordan6(k3_topreal1(2, k1_jordan9(A, B)))) ) ) ) ) ).
fof(t56_jordan1g, axiom,  (! [A] :  ( (v2_connsp_1(A, k15_euclid(2)) &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  => k3_topreal1(2, k2_jordan1e(A, B))=k9_jordan6(k3_topreal1(2, k1_jordan9(A, B)))) ) ) ) ) ).
fof(t57_jordan1g, axiom,  (! [A] :  ( (v2_connsp_1(A, k15_euclid(2)) &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(k1_jordan8(A, B))) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k1_matrix_0(k1_jordan8(A, B))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), C, D), k3_topreal1(2, k1_jordan9(A, B))) & r1_xboole_0(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), C, 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), C, D)), k9_jordan6(k3_topreal1(2, k1_jordan9(A, B))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_jordan1h, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v2_setfam_1(A)) )  =>  (? [B] :  (m1_finseq_1(B, k3_finseq_2(A)) &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k3_finseq_2(A)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) &  (v1_funcop_1(B) &  (v2_funcop_1(B) &  (v1_pre_poly(B) & v2_pre_poly(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_jordan1h, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) ) )  =>  (v1_relat_1(k2_funct_6(A)) &  (v2_relat_1(k2_funct_6(A)) & v1_funct_1(k2_funct_6(A))) ) ) ) ).
fof(fc2_jordan1h, axiom,  (v1_partfun1(k1_jordan1h, k1_numbers) &  (v1_relat_2(k1_jordan1h) &  (v4_relat_2(k1_jordan1h) &  (v8_relat_2(k1_jordan1h) & v3_orders_1(k1_jordan1h)) ) ) ) ).
fof(fc3_jordan1h, axiom,  (! [A] :  ( (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  => v5_valued_0(k7_pre_poly(k1_numbers, A, k1_jordan1h))) ) ).
fof(fc4_jordan1h, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_setfam_1(A))  &  (v2_relat_1(B) &  ( ~ (v1_xboole_0(B))  & m1_finseq_1(B, k3_finseq_2(A))) ) )  =>  ~ (v1_xboole_0(k9_matrix_0(B))) ) ) ).
fof(cc1_jordan1h, axiom,  (! [A] :  (m1_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2)))) =>  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) & v4_goboard1(A)) ) ) ) )  =>  (v2_relat_1(A) &  ( ~ (v3_relat_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) & v4_goboard1(A)) ) ) ) ) ) ) ) ) ) ).
fof(fc5_jordan1h, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m1_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ~ (v1_xboole_0(k9_matrix_0(A))) ) ) ).
fof(t1_jordan1h, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( ~ (A=B)  => r2_tarski(A, k2_pre_topc(k15_euclid(2), k7_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), A, B), k2_tarski(A, B))))) ) ) ) ) ).
fof(t2_jordan1h, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( ~ (A=B)  => k2_pre_topc(k15_euclid(2), k7_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), A, B), k2_tarski(A, B)))=k1_rltopsp1(k15_euclid(2), A, B)) ) ) ) ) ).
fof(t3_jordan1h, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r1_tarski(k7_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), B, C), k2_tarski(B, C)), A) =>  (B=C | r1_tarski(k1_rltopsp1(k15_euclid(2), B, C), k2_pre_topc(k15_euclid(2), A))) ) ) ) ) ) ) ) ).
fof(t4_jordan1h, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(k4_tarski(A, B), k1_jordan1h) => r1_xxreal_0(A, B)) ) ) ) ) ).
fof(t5_jordan1h, axiom, k1_relat_1(k1_jordan1h)=k1_numbers).
fof(t6_jordan1h, axiom, r3_orders_1(k1_jordan1h, k1_numbers)).
fof(t7_jordan1h, axiom,  (! [A] :  ( (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  => v5_valued_0(k7_pre_poly(k1_numbers, A, k1_jordan1h))) ) ).
fof(t8_jordan1h, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (B=k1_rvsum_1(A) => k7_pre_poly(k1_numbers, B, k1_jordan1h)=k26_seq_4(A)) ) ) ) ) ).
fof(t9_jordan1h, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(A)))  =>  (! [C] :  ( (v1_partfun1(C, A) &  (v1_relat_2(C) &  (v4_relat_2(C) &  (v8_relat_2(C) &  (v3_orders_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) )  => k3_finseq_1(k7_pre_poly(A, B, C))=k4_card_1(B)) ) ) ) ) ) ).
fof(t10_jordan1h, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) => r2_relset_1(k4_ordinal1, k1_numbers, k1_goboard1(A), k1_partfun1(k4_ordinal1, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k1_numbers, A, k4_pscomp_1))) ) ).
fof(t11_jordan1h, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) => r2_relset_1(k4_ordinal1, k1_numbers, k2_goboard1(A), k1_partfun1(k4_ordinal1, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k1_numbers, A, k5_pscomp_1))) ) ).
fof(t12_jordan1h, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k2_finseq_1(k1_matrix_0(B))) => r1_tarski(k2_relset_1(A, k8_matrix_0(A, B, C)), k2_jordan1h(A, B))) ) ) ) ) ) ) ).
fof(t13_jordan1h, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => r1_tarski(k2_relset_1(A, k7_matrix_0(A, B, C)), k2_jordan1h(A, B))) ) ) ) ) ) ) ).
fof(t14_jordan1h, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) )  => r1_xxreal_0(k3_finseq_1(A), k4_card_1(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k4_pscomp_1, k2_jordan1h(u1_struct_0(k15_euclid(2)), A))))) ) ).
fof(t15_jordan1h, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v1_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) )  => r1_xxreal_0(k4_card_1(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k4_pscomp_1, k2_jordan1h(u1_struct_0(k15_euclid(2)), A))), k3_finseq_1(A))) ) ).
fof(t16_jordan1h, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) )  => k3_finseq_1(A)=k4_card_1(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k4_pscomp_1, k2_jordan1h(u1_struct_0(k15_euclid(2)), A)))) ) ).
fof(t17_jordan1h, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v3_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) )  => r1_xxreal_0(k1_matrix_0(A), k4_card_1(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k2_jordan1h(u1_struct_0(k15_euclid(2)), A))))) ) ).
fof(t18_jordan1h, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v2_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) )  => r1_xxreal_0(k4_card_1(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k2_jordan1h(u1_struct_0(k15_euclid(2)), A))), k1_matrix_0(A))) ) ).
fof(t19_jordan1h, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v2_goboard1(A) &  (v3_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) )  => k1_matrix_0(A)=k4_card_1(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k2_jordan1h(u1_struct_0(k15_euclid(2)), A)))) ) ).
fof(t20_jordan1h, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), B, A) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(B)))  => r1_tarski(k2_topreal1(2, B, C), k2_gobrd13(B, A, C))) ) ) ) ) ) ) ) ).
fof(t21_jordan1h, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(B) &  (v2_topreal1(B) &  (v1_goboard5(B) &  (v2_goboard5(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(B)))  => k2_gobrd13(B, k2_goboard2(B), A)=k5_goboard5(B, A)) ) ) ) ) ).
fof(t22_jordan1h, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), B, A) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(B)))  => r1_tarski(k2_topreal1(2, B, C), k1_gobrd13(B, A, C))) ) ) ) ) ) ) ) ).
fof(t23_jordan1h, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(B) &  (v2_topreal1(B) &  (v1_goboard5(B) &  (v2_goboard5(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(B)))  => k1_gobrd13(B, k2_goboard2(B), A)=k4_goboard5(B, A)) ) ) ) ) ).
fof(t24_jordan1h, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v3_funct_1(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(B) &  (v2_topreal1(B) &  (v1_goboard5(B) &  (v2_goboard5(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ~ ( (r3_connsp_1(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, B)), A) &  ( ~ (A=k3_goboard9(B))  &  ~ (A=k2_goboard9(B)) ) ) ) ) ) ) ) ).
fof(t25_jordan1h, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v3_funct_1(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(B) &  (v2_topreal1(B) &  (v1_goboard5(B) &  (v2_goboard5(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), B, A) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(B)))  =>  (r1_tarski(k1_tops_1(k15_euclid(2), k1_gobrd13(B, A, C)), k3_goboard9(B)) & r1_tarski(k1_tops_1(k15_euclid(2), k2_gobrd13(B, A, C)), k2_goboard9(B))) ) ) ) ) ) ) ) ) ).
fof(t26_jordan1h, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r2_hidden(k4_tarski(A, B), k2_matrix_0(E)) &  (r2_hidden(k4_tarski(C, D), k2_matrix_0(E)) & k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), E, C, D)) )  =>  (A=C & B=D) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_jordan1h, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  ( ( ~ (v3_relat_1(D))  &  (v1_matrix_0(D) &  (v1_goboard1(D) &  (v2_goboard1(D) &  (v3_goboard1(D) &  (v4_goboard1(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), C, D) => r1_goboard1(u1_struct_0(k15_euclid(2)), k3_finseq_6(u1_struct_0(k15_euclid(2)), C, A, B), D)) ) ) ) ) ) ) ) ) ).
fof(t28_jordan1h, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, k3_finseq_1(B)))  => k1_funct_1(k7_pre_poly(k1_numbers, k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k4_pscomp_1, k2_jordan1h(u1_struct_0(k15_euclid(2)), B)), k1_jordan1h), A)=k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, A, 1))) ) ) ) ) ).
fof(t29_jordan1h, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, k1_matrix_0(B)))  => k1_funct_1(k7_pre_poly(k1_numbers, k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k2_jordan1h(u1_struct_0(k15_euclid(2)), B)), k1_jordan1h), A)=k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, A))) ) ) ) ) ).
fof(t30_jordan1h, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), A, B) =>  ( (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_hidden(k4_tarski(1, C), k2_matrix_0(B)) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, C), k2_relset_1(u1_struct_0(k15_euclid(2)), A))) ) ) )  |  ( (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_hidden(k4_tarski(k3_finseq_1(B), C), k2_matrix_0(B)) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B), C), k2_relset_1(u1_struct_0(k15_euclid(2)), A))) ) ) )  | k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k4_pscomp_1, k2_relset_1(u1_struct_0(k15_euclid(2)), A))=k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k4_pscomp_1, k2_jordan1h(u1_struct_0(k15_euclid(2)), B))) ) ) ) ) ) ) ).
fof(t31_jordan1h, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), A, B) =>  ( (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_hidden(k4_tarski(C, 1), k2_matrix_0(B)) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, C, 1), k2_relset_1(u1_struct_0(k15_euclid(2)), A))) ) ) )  |  ( (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_hidden(k4_tarski(C, k1_matrix_0(B)), k2_matrix_0(B)) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, C, k1_matrix_0(B)), k2_relset_1(u1_struct_0(k15_euclid(2)), A))) ) ) )  | k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k2_relset_1(u1_struct_0(k15_euclid(2)), A))=k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k2_jordan1h(u1_struct_0(k15_euclid(2)), B))) ) ) ) ) ) ) ).
fof(t32_jordan1h, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  => A=k1_goboard2(k7_pre_poly(k1_numbers, k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k4_pscomp_1, k2_jordan1h(u1_struct_0(k15_euclid(2)), A)), k1_jordan1h), k7_pre_poly(k1_numbers, k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k2_jordan1h(u1_struct_0(k15_euclid(2)), A)), k1_jordan1h))) ) ).
fof(t33_jordan1h, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k4_pscomp_1, k2_relset_1(u1_struct_0(k15_euclid(2)), A))=k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k4_pscomp_1, k2_jordan1h(u1_struct_0(k15_euclid(2)), B)) & k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k2_relset_1(u1_struct_0(k15_euclid(2)), A))=k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k2_jordan1h(u1_struct_0(k15_euclid(2)), B)))  => B=k2_goboard2(A)) ) ) ) ) ).
fof(t34_jordan1h, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), A, B) =>  ( (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_hidden(k4_tarski(1, C), k2_matrix_0(B)) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, C), k2_relset_1(u1_struct_0(k15_euclid(2)), A))) ) ) )  |  ( (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_hidden(k4_tarski(C, 1), k2_matrix_0(B)) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, C, 1), k2_relset_1(u1_struct_0(k15_euclid(2)), A))) ) ) )  |  ( (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_hidden(k4_tarski(k3_finseq_1(B), C), k2_matrix_0(B)) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B), C), k2_relset_1(u1_struct_0(k15_euclid(2)), A))) ) ) )  |  ( (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_hidden(k4_tarski(C, k1_matrix_0(B)), k2_matrix_0(B)) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, C, k1_matrix_0(B)), k2_relset_1(u1_struct_0(k15_euclid(2)), A))) ) ) )  | B=k2_goboard2(A)) ) ) ) ) ) ) ) ) ).
fof(t35_jordan1h, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(1, B) => m1_subset_1(k1_int_1(k2_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(B, 2), k11_newton(2, k7_nat_d(C, A))), 2)), k4_ordinal1)) ) ) ) ) ) ) ).
fof(t36_jordan1h, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v2_compts_1(D, k15_euclid(2)) &  ( ~ (v1_sppol_1(D))  &  ( ~ (v2_sppol_1(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  ( (r1_xxreal_0(A, C) &  (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 1), k3_finseq_1(k1_jordan8(D, C)))) )  =>  (r1_xxreal_0(1, k1_int_1(k2_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(B, 2), k11_newton(2, k7_nat_d(C, A))), 2))) & r1_xxreal_0(k2_xcmplx_0(k1_int_1(k2_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(B, 2), k11_newton(2, k7_nat_d(C, A))), 2)), 1), k3_finseq_1(k1_jordan8(D, A)))) ) ) ) ) ) ) ) ) ) ).
fof(t37_jordan1h, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v2_compts_1(E, k15_euclid(2)) &  ( ~ (v1_sppol_1(E))  &  ( ~ (v2_sppol_1(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  ~ ( (r1_xxreal_0(A, D) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(k1_jordan8(E, D))) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(k1_nat_1(B, 1), k1_matrix_0(k1_jordan8(E, D))) &  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ~ ( (F=k1_int_1(k2_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(C, 2), k11_newton(2, k7_nat_d(D, A))), 2)) &  (G=k1_int_1(k2_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(B, 2), k11_newton(2, k7_nat_d(D, A))), 2)) & r1_tarski(k3_goboard5(k1_jordan8(E, D), C, B), k3_goboard5(k1_jordan8(E, A), F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_jordan1h, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v2_compts_1(E, k15_euclid(2)) &  ( ~ (v1_sppol_1(E))  &  ( ~ (v2_sppol_1(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  ~ ( (r1_xxreal_0(A, D) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(k1_jordan8(E, D))) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(k1_nat_1(B, 1), k1_matrix_0(k1_jordan8(E, D))) &  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ~ ( (r1_xxreal_0(1, F) &  (r1_xxreal_0(k1_nat_1(F, 1), k3_finseq_1(k1_jordan8(E, A))) &  (r1_xxreal_0(1, G) &  (r1_xxreal_0(k1_nat_1(G, 1), k1_matrix_0(k1_jordan8(E, A))) & r1_tarski(k3_goboard5(k1_jordan8(E, D), C, B), k3_goboard5(k1_jordan8(E, A), F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_jordan1h, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( (v9_rltopsp1(A, k15_euclid(2)) & v9_rltopsp1(k2_jordan2c(2, A), k15_euclid(2))) ) ) ) ).
fof(t40_jordan1h, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v3_funct_1(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(B) &  (v2_topreal1(B) &  (v1_goboard5(B) &  (v2_goboard5(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (v1_sprect_2(k1_finseq_6(u1_struct_0(k15_euclid(2)), B, A)) => v1_sprect_2(B)) ) ) ) ) ).
fof(t41_jordan1h, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (k2_goboard9(A)=k2_jordan2c(2, k3_topreal1(2, A)) => v1_sprect_2(A)) ) ) ).
fof(t42_jordan1h, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => k3_subset_1(u1_struct_0(k15_euclid(2)), k2_pre_topc(k15_euclid(2), k2_goboard9(A)))=k3_goboard9(A)) ) ).
fof(t43_jordan1h, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => k3_subset_1(u1_struct_0(k15_euclid(2)), k2_pre_topc(k15_euclid(2), k3_goboard9(A)))=k2_goboard9(A)) ) ).
fof(t44_jordan1h, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (v2_connsp_1(B, k15_euclid(2)) => k2_goboard2(k1_jordan9(B, A))=k1_jordan8(B, A)) ) ) ) ) ).
fof(t45_jordan1h, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (v2_connsp_1(B, k15_euclid(2)) => r2_tarski(k20_pscomp_1(B), k4_goboard5(k1_jordan9(B, A), 1))) ) ) ) ) ).
fof(t46_jordan1h, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v2_compts_1(C, k15_euclid(2)) &  ( ~ (v1_sppol_1(C))  &  ( ~ (v2_sppol_1(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  ( (v2_connsp_1(C, k15_euclid(2)) & r1_xxreal_0(B, A))  => r1_tarski(k3_topreal1(2, k1_jordan9(C, A)), k2_pre_topc(k15_euclid(2), k3_goboard9(k1_jordan9(C, B))))) ) ) ) ) ) ) ).
fof(t47_jordan1h, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v2_compts_1(C, k15_euclid(2)) &  ( ~ (v1_sppol_1(C))  &  ( ~ (v2_sppol_1(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  ( (v2_connsp_1(C, k15_euclid(2)) & r1_xxreal_0(B, A))  => r1_tarski(k2_goboard9(k1_jordan9(C, B)), k2_goboard9(k1_jordan9(C, A)))) ) ) ) ) ) ) ).
fof(t48_jordan1h, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v2_compts_1(C, k15_euclid(2)) &  ( ~ (v1_sppol_1(C))  &  ( ~ (v2_sppol_1(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  ( (v2_connsp_1(C, k15_euclid(2)) & r1_xxreal_0(B, A))  => r1_tarski(k3_goboard9(k1_jordan9(C, A)), k3_goboard9(k1_jordan9(C, B)))) ) ) ) ) ) ) ).
fof(d2_jordan1h, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (! [B] :  (v7_ordinal1(B) => k3_jordan1h(A, B)=k1_nat_1(k11_newton(2, k7_nat_d(B, 1)), 2)) ) ) ) ).
fof(t49_jordan1h, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  ( ~ (r1_xxreal_0(k3_jordan1h(B, A), 2))  &  ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), k3_jordan1h(B, A))) ) ) ) ) ) ).
fof(t50_jordan1h, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (r1_xxreal_0(1, k7_nat_d(k3_jordan1h(B, A), 1)) &  ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), k7_nat_d(k3_jordan1h(B, A), 1))) ) ) ) ) ) ).
fof(d3_jordan1h, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_jordan1h(A, B) <=>  (? [C] :  (v7_ordinal1(C) &  ( ~ (r1_xxreal_0(k1_matrix_0(k1_jordan8(A, B)), C))  & r1_tarski(k3_goboard5(k1_jordan8(A, B), k7_nat_d(k3_jordan1h(A, B), 1), C), k1_jordan2c(2, A))) ) ) ) ) ) ) ) ).
fof(t51_jordan1h, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (r1_jordan1h(B, A) => r1_xxreal_0(1, A)) ) ) ) ) ).
fof(t52_jordan1h, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), C, k1_jordan8(A, B)) =>  (r1_xxreal_0(k3_finseq_1(C), 1) |  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_hidden(k4_tarski(D, E), k2_matrix_0(k1_jordan8(A, B))) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, k7_nat_d(k3_finseq_1(C), 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), D, E) &  (r2_hidden(k4_tarski(D, k1_nat_1(E, 1)), k2_matrix_0(k1_jordan8(A, B))) & k7_partfun1(u1_struct_0(k15_euclid(2)), C, k3_finseq_1(C))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), D, k1_nat_1(E, 1))) ) )  =>  (r1_xboole_0(k2_gobrd13(C, k1_jordan8(A, B), k7_nat_d(k3_finseq_1(C), 1)), A) | r2_hidden(k4_tarski(k7_nat_d(D, 1), k1_nat_1(E, 1)), k2_matrix_0(k1_jordan8(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_jordan1h, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), C, k1_jordan8(A, B)) =>  (r1_xxreal_0(k3_finseq_1(C), 1) |  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_hidden(k4_tarski(D, E), k2_matrix_0(k1_jordan8(A, B))) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, k7_nat_d(k3_finseq_1(C), 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), D, E) &  (r2_hidden(k4_tarski(k1_nat_1(D, 1), E), k2_matrix_0(k1_jordan8(A, B))) & k7_partfun1(u1_struct_0(k15_euclid(2)), C, k3_finseq_1(C))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), k1_nat_1(D, 1), E)) ) )  =>  (r1_xboole_0(k2_gobrd13(C, k1_jordan8(A, B), k7_nat_d(k3_finseq_1(C), 1)), A) | r2_hidden(k4_tarski(k1_nat_1(D, 1), k1_nat_1(E, 1)), k2_matrix_0(k1_jordan8(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_jordan1h, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), C, k1_jordan8(A, B)) =>  (r1_xxreal_0(k3_finseq_1(C), 1) |  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_hidden(k4_tarski(k1_nat_1(E, 1), D), k2_matrix_0(k1_jordan8(A, B))) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, k7_nat_d(k3_finseq_1(C), 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), k1_nat_1(E, 1), D) &  (r2_hidden(k4_tarski(E, D), k2_matrix_0(k1_jordan8(A, B))) & k7_partfun1(u1_struct_0(k15_euclid(2)), C, k3_finseq_1(C))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), E, D)) ) )  =>  (r1_xboole_0(k2_gobrd13(C, k1_jordan8(A, B), k7_nat_d(k3_finseq_1(C), 1)), A) | r2_hidden(k4_tarski(E, k7_nat_d(D, 1)), k2_matrix_0(k1_jordan8(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_jordan1h, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), C, k1_jordan8(A, B)) =>  (r1_xxreal_0(k3_finseq_1(C), 1) |  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_hidden(k4_tarski(D, k1_nat_1(E, 1)), k2_matrix_0(k1_jordan8(A, B))) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, k7_nat_d(k3_finseq_1(C), 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), D, k1_nat_1(E, 1)) &  (r2_hidden(k4_tarski(D, E), k2_matrix_0(k1_jordan8(A, B))) & k7_partfun1(u1_struct_0(k15_euclid(2)), C, k3_finseq_1(C))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), D, E)) ) )  =>  (r1_xboole_0(k2_gobrd13(C, k1_jordan8(A, B), k7_nat_d(k3_finseq_1(C), 1)), A) | r2_hidden(k4_tarski(k1_nat_1(D, 1), E), k2_matrix_0(k1_jordan8(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_jordan1h, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), C, k1_jordan8(A, B)) =>  (r1_xxreal_0(k3_finseq_1(C), 1) |  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_hidden(k4_tarski(D, E), k2_matrix_0(k1_jordan8(A, B))) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, k7_nat_d(k3_finseq_1(C), 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), D, E) &  (r2_hidden(k4_tarski(D, k1_nat_1(E, 1)), k2_matrix_0(k1_jordan8(A, B))) & k7_partfun1(u1_struct_0(k15_euclid(2)), C, k3_finseq_1(C))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), D, k1_nat_1(E, 1))) ) )  =>  (r1_xboole_0(k4_gobrd13(C, k1_jordan8(A, B), k7_nat_d(k3_finseq_1(C), 1)), A) | r2_hidden(k4_tarski(D, k1_nat_1(E, 2)), k2_matrix_0(k1_jordan8(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_jordan1h, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), C, k1_jordan8(A, B)) =>  (r1_xxreal_0(k3_finseq_1(C), 1) |  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_hidden(k4_tarski(D, E), k2_matrix_0(k1_jordan8(A, B))) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, k7_nat_d(k3_finseq_1(C), 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), D, E) &  (r2_hidden(k4_tarski(k1_nat_1(D, 1), E), k2_matrix_0(k1_jordan8(A, B))) & k7_partfun1(u1_struct_0(k15_euclid(2)), C, k3_finseq_1(C))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), k1_nat_1(D, 1), E)) ) )  =>  (r1_xboole_0(k4_gobrd13(C, k1_jordan8(A, B), k7_nat_d(k3_finseq_1(C), 1)), A) | r2_hidden(k4_tarski(k1_nat_1(D, 2), E), k2_matrix_0(k1_jordan8(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_jordan1h, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), C, k1_jordan8(A, B)) =>  (r1_xxreal_0(k3_finseq_1(C), 1) |  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_hidden(k4_tarski(k1_nat_1(E, 1), D), k2_matrix_0(k1_jordan8(A, B))) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, k7_nat_d(k3_finseq_1(C), 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), k1_nat_1(E, 1), D) &  (r2_hidden(k4_tarski(E, D), k2_matrix_0(k1_jordan8(A, B))) & k7_partfun1(u1_struct_0(k15_euclid(2)), C, k3_finseq_1(C))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), E, D)) ) )  =>  (r1_xboole_0(k4_gobrd13(C, k1_jordan8(A, B), k7_nat_d(k3_finseq_1(C), 1)), A) | r2_hidden(k4_tarski(k7_nat_d(E, 1), D), k2_matrix_0(k1_jordan8(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_jordan1h, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), C, k1_jordan8(A, B)) =>  (r1_xxreal_0(k3_finseq_1(C), 1) |  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_hidden(k4_tarski(D, k1_nat_1(E, 1)), k2_matrix_0(k1_jordan8(A, B))) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, k7_nat_d(k3_finseq_1(C), 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), D, k1_nat_1(E, 1)) &  (r2_hidden(k4_tarski(D, E), k2_matrix_0(k1_jordan8(A, B))) & k7_partfun1(u1_struct_0(k15_euclid(2)), C, k3_finseq_1(C))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), D, E)) ) )  =>  (r1_xboole_0(k4_gobrd13(C, k1_jordan8(A, B), k7_nat_d(k3_finseq_1(C), 1)), A) | r2_hidden(k4_tarski(D, k7_nat_d(E, 1)), k2_matrix_0(k1_jordan8(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_jordan1h, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), C, k1_jordan8(A, B)) =>  (r1_xxreal_0(k3_finseq_1(C), 1) |  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_hidden(k4_tarski(D, E), k2_matrix_0(k1_jordan8(A, B))) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, k7_nat_d(k3_finseq_1(C), 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), D, E) &  (r2_hidden(k4_tarski(D, k1_nat_1(E, 1)), k2_matrix_0(k1_jordan8(A, B))) & k7_partfun1(u1_struct_0(k15_euclid(2)), C, k3_finseq_1(C))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), D, k1_nat_1(E, 1))) ) )  =>  (r1_xboole_0(k3_gobrd13(C, k1_jordan8(A, B), k7_nat_d(k3_finseq_1(C), 1)), A) | r2_hidden(k4_tarski(k1_nat_1(D, 1), k1_nat_1(E, 1)), k2_matrix_0(k1_jordan8(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_jordan1h, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), C, k1_jordan8(A, B)) =>  (r1_xxreal_0(k3_finseq_1(C), 1) |  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_hidden(k4_tarski(D, E), k2_matrix_0(k1_jordan8(A, B))) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, k7_nat_d(k3_finseq_1(C), 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), D, E) &  (r2_hidden(k4_tarski(k1_nat_1(D, 1), E), k2_matrix_0(k1_jordan8(A, B))) & k7_partfun1(u1_struct_0(k15_euclid(2)), C, k3_finseq_1(C))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), k1_nat_1(D, 1), E)) ) )  =>  (r1_xboole_0(k3_gobrd13(C, k1_jordan8(A, B), k7_nat_d(k3_finseq_1(C), 1)), A) | r2_hidden(k4_tarski(k1_nat_1(D, 1), k7_nat_d(E, 1)), k2_matrix_0(k1_jordan8(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_jordan1h, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), C, k1_jordan8(A, B)) =>  (r1_xxreal_0(k3_finseq_1(C), 1) |  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_hidden(k4_tarski(k1_nat_1(E, 1), D), k2_matrix_0(k1_jordan8(A, B))) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, k7_nat_d(k3_finseq_1(C), 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), k1_nat_1(E, 1), D) &  (r2_hidden(k4_tarski(E, D), k2_matrix_0(k1_jordan8(A, B))) & k7_partfun1(u1_struct_0(k15_euclid(2)), C, k3_finseq_1(C))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), E, D)) ) )  =>  (r1_xboole_0(k3_gobrd13(C, k1_jordan8(A, B), k7_nat_d(k3_finseq_1(C), 1)), A) | r2_hidden(k4_tarski(E, k1_nat_1(D, 1)), k2_matrix_0(k1_jordan8(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_jordan1h, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), C, k1_jordan8(A, B)) =>  (r1_xxreal_0(k3_finseq_1(C), 1) |  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_hidden(k4_tarski(D, k1_nat_1(E, 1)), k2_matrix_0(k1_jordan8(A, B))) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, k7_nat_d(k3_finseq_1(C), 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), D, k1_nat_1(E, 1)) &  (r2_hidden(k4_tarski(D, E), k2_matrix_0(k1_jordan8(A, B))) & k7_partfun1(u1_struct_0(k15_euclid(2)), C, k3_finseq_1(C))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), D, E)) ) )  =>  (r1_xboole_0(k3_gobrd13(C, k1_jordan8(A, B), k7_nat_d(k3_finseq_1(C), 1)), A) | r2_hidden(k4_tarski(k7_nat_d(D, 1), E), k2_matrix_0(k1_jordan8(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_jordan1h, axiom, m1_subset_1(k1_jordan1h, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))).
fof(dt_k2_jordan1h, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(B, k3_finseq_2(A)))  => m1_subset_1(k2_jordan1h(A, B), k1_zfmisc_1(A))) ) ).
fof(redefinition_k2_jordan1h, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(B, k3_finseq_2(A)))  => k2_jordan1h(A, B)=k9_matrix_0(B)) ) ).
fof(dt_k3_jordan1h, axiom,  (! [A, B] :  ( ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  & v7_ordinal1(B))  => v7_ordinal1(k3_jordan1h(A, B))) ) ).
fof(d1_jordan1h, axiom, k1_jordan1h=a_0_0_jordan1h).
fof(fraenkel_a_0_0_jordan1h, axiom,  (! [A] :  (r2_hidden(A, a_0_0_jordan1h) <=>  (? [B, C] :  ( (v1_xreal_0(B) & v1_xreal_0(C))  &  (A=k4_tarski(B, C) & r1_xxreal_0(B, C)) ) ) ) ) ).
fof(t1_jordan1i, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  ~ (r1_xxreal_0(k4_finseq_4(k1_jordan9(B, A), k18_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))), 1)) ) ) ) ) ).
fof(t2_jordan1i, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  ~ (r1_xxreal_0(k4_finseq_4(k1_jordan9(B, A), k22_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))), 1)) ) ) ) ) ).
fof(t3_jordan1i, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  ~ (r1_xxreal_0(k4_finseq_4(k1_jordan9(B, A), k24_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))), 1)) ) ) ) ) ).
fof(t4_jordan1i, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k2_relset_1(u1_struct_0(k15_euclid(2)), A)) => k5_goboard5(A, k4_finseq_4(A, B))=k5_goboard5(k1_finseq_6(u1_struct_0(k15_euclid(2)), A, B), 1)) ) ) ) ) ).
fof(t5_jordan1i, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k2_relset_1(u1_struct_0(k15_euclid(2)), A)) => k4_goboard5(A, k4_finseq_4(A, B))=k4_goboard5(k1_finseq_6(u1_struct_0(k15_euclid(2)), A, B), 1)) ) ) ) ) ).
fof(t6_jordan1i, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) ) )  => r2_tarski(k18_pscomp_1(B), k4_goboard5(k1_finseq_6(u1_struct_0(k15_euclid(2)), k1_jordan9(B, A), k18_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))), 1))) ) ) ) ).
fof(t7_jordan1i, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) ) )  => r2_tarski(k22_pscomp_1(B), k4_goboard5(k1_finseq_6(u1_struct_0(k15_euclid(2)), k1_jordan9(B, A), k22_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))), 1))) ) ) ) ).
fof(t8_jordan1i, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) ) )  => r2_tarski(k24_pscomp_1(B), k4_goboard5(k1_finseq_6(u1_struct_0(k15_euclid(2)), k1_jordan9(B, A), k24_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))), 1))) ) ) ) ).
fof(t9_jordan1i, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( ~ (r1_xxreal_0(k6_pscomp_1(k3_topreal1(2, A)), k17_euclid(B)))  => r2_tarski(B, k2_goboard9(A))) ) ) ) ) ).
fof(t10_jordan1i, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( ~ (r1_xxreal_0(k17_euclid(B), k8_pscomp_1(k3_topreal1(2, A))))  => r2_tarski(B, k2_goboard9(A))) ) ) ) ) ).
fof(t11_jordan1i, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( ~ (r1_xxreal_0(k9_pscomp_1(k3_topreal1(2, A)), k18_euclid(B)))  => r2_tarski(B, k2_goboard9(A))) ) ) ) ) ).
fof(t12_jordan1i, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( ~ (r1_xxreal_0(k18_euclid(B), k7_pscomp_1(k3_topreal1(2, A))))  => r2_tarski(B, k2_goboard9(A))) ) ) ) ) ).
fof(t13_jordan1i, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), A, B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, E) &  (r1_xxreal_0(k1_nat_1(E, 1), k3_finseq_1(A)) &  (r2_hidden(k4_tarski(C, D), k2_matrix_0(B)) &  (r2_hidden(k4_tarski(k1_nat_1(C, 1), D), k2_matrix_0(B)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, E)=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k1_nat_1(C, 1), D) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(E, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, C, D) & r1_xxreal_0(k1_matrix_0(B), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_jordan1i, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), A, B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, E) &  (r1_xxreal_0(k1_nat_1(E, 1), k3_finseq_1(A)) &  (r2_hidden(k4_tarski(C, D), k2_matrix_0(B)) &  (r2_hidden(k4_tarski(C, k1_nat_1(D, 1)), k2_matrix_0(B)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, E)=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, C, D) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(E, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, C, k1_nat_1(D, 1)) & r1_xxreal_0(k3_finseq_1(B), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_jordan1i, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), A, B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, E) &  (r1_xxreal_0(k1_nat_1(E, 1), k3_finseq_1(A)) &  (r2_hidden(k4_tarski(C, D), k2_matrix_0(B)) &  (r2_hidden(k4_tarski(k1_nat_1(C, 1), D), k2_matrix_0(B)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, E)=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, C, D) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(E, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k1_nat_1(C, 1), D) & r1_xxreal_0(D, 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_jordan1i, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), A, B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, E) &  (r1_xxreal_0(k1_nat_1(E, 1), k3_finseq_1(A)) &  (r2_hidden(k4_tarski(C, D), k2_matrix_0(B)) &  (r2_hidden(k4_tarski(C, k1_nat_1(D, 1)), k2_matrix_0(B)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, E)=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, C, k1_nat_1(D, 1)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(E, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, C, D) & r1_xxreal_0(C, 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_jordan1i, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), A, B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, E) &  (r1_xxreal_0(k1_nat_1(E, 1), k3_finseq_1(A)) &  (r2_hidden(k4_tarski(C, D), k2_matrix_0(B)) &  (r2_hidden(k4_tarski(k1_nat_1(C, 1), D), k2_matrix_0(B)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, E)=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k1_nat_1(C, 1), D) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(E, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, C, D) & k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, E))=k7_pscomp_1(k3_topreal1(2, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_jordan1i, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), A, B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, E) &  (r1_xxreal_0(k1_nat_1(E, 1), k3_finseq_1(A)) &  (r2_hidden(k4_tarski(C, D), k2_matrix_0(B)) &  (r2_hidden(k4_tarski(C, k1_nat_1(D, 1)), k2_matrix_0(B)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, E)=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, C, D) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(E, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, C, k1_nat_1(D, 1)) & k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, E))=k8_pscomp_1(k3_topreal1(2, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_jordan1i, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), A, B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, E) &  (r1_xxreal_0(k1_nat_1(E, 1), k3_finseq_1(A)) &  (r2_hidden(k4_tarski(C, D), k2_matrix_0(B)) &  (r2_hidden(k4_tarski(k1_nat_1(C, 1), D), k2_matrix_0(B)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, E)=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, C, D) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(E, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k1_nat_1(C, 1), D) & k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, E))=k9_pscomp_1(k3_topreal1(2, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_jordan1i, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), A, B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, E) &  (r1_xxreal_0(k1_nat_1(E, 1), k3_finseq_1(A)) &  (r2_hidden(k4_tarski(C, D), k2_matrix_0(B)) &  (r2_hidden(k4_tarski(C, k1_nat_1(D, 1)), k2_matrix_0(B)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, E)=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, C, k1_nat_1(D, 1)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(E, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, C, D) & k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, E))=k6_pscomp_1(k3_topreal1(2, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_jordan1i, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_goboard1(u1_struct_0(k15_euclid(2)), A, B) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(A)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, C)=k18_pscomp_1(k3_topreal1(2, A)) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_hidden(k4_tarski(D, E), k2_matrix_0(B)) &  (r2_hidden(k4_tarski(D, k1_nat_1(E, 1)), k2_matrix_0(B)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, D, E) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, D, k1_nat_1(E, 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_jordan1i, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_goboard1(u1_struct_0(k15_euclid(2)), A, B) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(A)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, C)=k20_pscomp_1(k3_topreal1(2, A)) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_hidden(k4_tarski(D, E), k2_matrix_0(B)) &  (r2_hidden(k4_tarski(k1_nat_1(D, 1), E), k2_matrix_0(B)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, D, E) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k1_nat_1(D, 1), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_jordan1i, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_goboard1(u1_struct_0(k15_euclid(2)), A, B) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(A)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, C)=k22_pscomp_1(k3_topreal1(2, A)) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_hidden(k4_tarski(D, k1_nat_1(E, 1)), k2_matrix_0(B)) &  (r2_hidden(k4_tarski(D, E), k2_matrix_0(B)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, D, k1_nat_1(E, 1)) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_jordan1i, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_goboard1(u1_struct_0(k15_euclid(2)), A, B) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(A)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, C)=k24_pscomp_1(k3_topreal1(2, A)) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_hidden(k4_tarski(k1_nat_1(D, 1), E), k2_matrix_0(B)) &  (r2_hidden(k4_tarski(D, E), k2_matrix_0(B)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, k1_nat_1(D, 1), E) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_jordan1i, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (v1_sprect_2(A) <=> r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), k1_finseq_6(u1_struct_0(k15_euclid(2)), A, k18_pscomp_1(k3_topreal1(2, A))), 2), k14_pscomp_1(k3_topreal1(2, A)))) ) ) ).
fof(t26_jordan1i, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (v1_sprect_2(A) <=> r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), k1_finseq_6(u1_struct_0(k15_euclid(2)), A, k22_pscomp_1(k3_topreal1(2, A))), 2), k16_pscomp_1(k3_topreal1(2, A)))) ) ) ).
fof(t27_jordan1i, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (v1_sprect_2(A) <=> r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), k1_finseq_6(u1_struct_0(k15_euclid(2)), A, k24_pscomp_1(k3_topreal1(2, A))), 2), k17_pscomp_1(k3_topreal1(2, A)))) ) ) ).
fof(t28_jordan1i, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_topreal2(C) &  (v2_compts_1(C, k15_euclid(2)) &  ( ~ (v1_sppol_1(C))  &  ( ~ (v2_sppol_1(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ ( (k17_euclid(D)=k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(C), k8_pscomp_1(C)), 2) &  ( ~ (r1_xxreal_0(A, k5_numbers))  &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k1_matrix_0(k1_jordan8(C, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(C, A), k1_jordan1a(k1_jordan8(C, A)), B), k8_jordan6(k3_topreal1(2, k1_jordan9(C, A)))) &  (k18_euclid(D)=k2_seq_4(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(C, 1), k1_jordan1a(k1_jordan8(C, 1)), 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(C, A), k1_jordan1a(k1_jordan8(C, A)), B)), k9_jordan6(k3_topreal1(2, k1_jordan9(C, A)))))) &  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, k1_matrix_0(k1_jordan8(C, A))) & D=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(C, A), k1_jordan1a(k1_jordan8(C, A)), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_jordan1j, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  =>  (v1_relat_1(k6_finseq_6(A, B)) &  ( ~ (v1_xboole_0(k6_finseq_6(A, B)))  &  (v1_funct_1(k6_finseq_6(A, B)) & v1_finseq_1(k6_finseq_6(A, B))) ) ) ) ) ).
fof(rc1_jordan1j, axiom,  (? [A] :  (m1_finseq_1(A, u1_struct_0(k15_euclid(2))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_struct_0(k15_euclid(2))) &  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  ( ~ (v8_ordinal1(A))  &  (v1_funct_1(A) &  (v2_funct_1(A) &  ( ~ (v3_funct_1(A))  &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v3_topreal1(A) &  (v4_topreal1(A) &  (v1_goboard5(A) & v2_goboard5(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_jordan1j, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k1_matrix_0(A)) &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, k1_matrix_0(A)) &  (r1_xxreal_0(1, B) &  ( ~ (r1_xxreal_0(C, B))  &  (r1_xxreal_0(C, k3_finseq_1(A)) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), A, C, E)), k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), A, B, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_jordan1j, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k3_finseq_1(A)) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(A)) &  (r1_xxreal_0(1, D) &  ( ~ (r1_xxreal_0(E, D))  &  (r1_xxreal_0(E, k1_matrix_0(A)) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), A, C, E)), k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), A, B, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_jordan1j, axiom,  (! [A] :  ( (v2_connsp_1(A, k15_euclid(2)) &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) => k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, k1_finseq_5(u1_struct_0(k15_euclid(2)), k1_jordan9(A, B), k22_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))))), k3_topreal1(2, k2_finseq_5(u1_struct_0(k15_euclid(2)), k1_jordan9(A, B), k22_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))))))=k2_tarski(k20_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))), k22_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))))) ) ) ) ).
fof(t4_jordan1j, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  => k1_jordan1e(B, A)=k2_finseq_5(u1_struct_0(k15_euclid(2)), k1_finseq_6(u1_struct_0(k15_euclid(2)), k1_jordan9(B, A), k22_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))), k18_pscomp_1(k3_topreal1(2, k1_jordan9(B, A))))) ) ) ) ).
fof(t5_jordan1j, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (r2_tarski(k18_pscomp_1(k3_topreal1(2, k1_jordan9(B, A))), k10_xtuple_0(k1_jordan1e(B, A))) & r2_tarski(k18_pscomp_1(k3_topreal1(2, k1_jordan9(B, A))), k3_topreal1(2, k1_jordan1e(B, A)))) ) ) ) ) ).
fof(t6_jordan1j, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (r2_tarski(k19_pscomp_1(k3_topreal1(2, k1_jordan9(B, A))), k10_xtuple_0(k1_jordan1e(B, A))) & r2_tarski(k19_pscomp_1(k3_topreal1(2, k1_jordan9(B, A))), k3_topreal1(2, k1_jordan1e(B, A)))) ) ) ) ) ).
fof(t7_jordan1j, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (r2_tarski(k20_pscomp_1(k3_topreal1(2, k1_jordan9(B, A))), k10_xtuple_0(k1_jordan1e(B, A))) & r2_tarski(k20_pscomp_1(k3_topreal1(2, k1_jordan9(B, A))), k3_topreal1(2, k1_jordan1e(B, A)))) ) ) ) ) ).
fof(t8_jordan1j, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (r2_tarski(k21_pscomp_1(k3_topreal1(2, k1_jordan9(B, A))), k10_xtuple_0(k1_jordan1e(B, A))) & r2_tarski(k21_pscomp_1(k3_topreal1(2, k1_jordan9(B, A))), k3_topreal1(2, k1_jordan1e(B, A)))) ) ) ) ) ).
fof(t9_jordan1j, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (r2_tarski(k22_pscomp_1(k3_topreal1(2, k1_jordan9(B, A))), k10_xtuple_0(k1_jordan1e(B, A))) & r2_tarski(k22_pscomp_1(k3_topreal1(2, k1_jordan9(B, A))), k3_topreal1(2, k1_jordan1e(B, A)))) ) ) ) ) ).
fof(t10_jordan1j, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (r2_tarski(k22_pscomp_1(k3_topreal1(2, k1_jordan9(B, A))), k10_xtuple_0(k2_jordan1e(B, A))) & r2_tarski(k22_pscomp_1(k3_topreal1(2, k1_jordan9(B, A))), k3_topreal1(2, k2_jordan1e(B, A)))) ) ) ) ) ).
fof(t11_jordan1j, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (r2_tarski(k23_pscomp_1(k3_topreal1(2, k1_jordan9(B, A))), k10_xtuple_0(k2_jordan1e(B, A))) & r2_tarski(k23_pscomp_1(k3_topreal1(2, k1_jordan9(B, A))), k3_topreal1(2, k2_jordan1e(B, A)))) ) ) ) ) ).
fof(t12_jordan1j, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (r2_tarski(k24_pscomp_1(k3_topreal1(2, k1_jordan9(B, A))), k10_xtuple_0(k2_jordan1e(B, A))) & r2_tarski(k24_pscomp_1(k3_topreal1(2, k1_jordan9(B, A))), k3_topreal1(2, k2_jordan1e(B, A)))) ) ) ) ) ).
fof(t13_jordan1j, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (r2_tarski(k25_pscomp_1(k3_topreal1(2, k1_jordan9(B, A))), k10_xtuple_0(k2_jordan1e(B, A))) & r2_tarski(k25_pscomp_1(k3_topreal1(2, k1_jordan9(B, A))), k3_topreal1(2, k2_jordan1e(B, A)))) ) ) ) ) ).
fof(t14_jordan1j, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (r2_tarski(k18_pscomp_1(k3_topreal1(2, k1_jordan9(B, A))), k10_xtuple_0(k2_jordan1e(B, A))) & r2_tarski(k18_pscomp_1(k3_topreal1(2, k1_jordan9(B, A))), k3_topreal1(2, k2_jordan1e(B, A)))) ) ) ) ) ).
fof(t15_jordan1j, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ( (r1_tarski(A, B) & r2_tarski(k20_pscomp_1(B), A))  => k20_pscomp_1(A)=k20_pscomp_1(B)) ) ) ) ) ).
fof(t16_jordan1j, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ( (r1_tarski(A, B) & r2_tarski(k21_pscomp_1(B), A))  => k21_pscomp_1(A)=k21_pscomp_1(B)) ) ) ) ) ).
fof(t17_jordan1j, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ( (r1_tarski(A, B) & r2_tarski(k23_pscomp_1(B), A))  => k23_pscomp_1(A)=k23_pscomp_1(B)) ) ) ) ) ).
fof(t18_jordan1j, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ( (r1_tarski(A, B) & r2_tarski(k22_pscomp_1(B), A))  => k22_pscomp_1(A)=k22_pscomp_1(B)) ) ) ) ) ).
fof(t19_jordan1j, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ( (r1_tarski(A, B) & r2_tarski(k25_pscomp_1(B), A))  => k25_pscomp_1(A)=k25_pscomp_1(B)) ) ) ) ) ).
fof(t20_jordan1j, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ( (r1_tarski(A, B) & r2_tarski(k24_pscomp_1(B), A))  => k24_pscomp_1(A)=k24_pscomp_1(B)) ) ) ) ) ).
fof(t21_jordan1j, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ( (r1_tarski(A, B) & r2_tarski(k18_pscomp_1(B), A))  => k18_pscomp_1(A)=k18_pscomp_1(B)) ) ) ) ) ).
fof(t22_jordan1j, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ( (r1_tarski(A, B) & r2_tarski(k19_pscomp_1(B), A))  => k19_pscomp_1(A)=k19_pscomp_1(B)) ) ) ) ) ).
fof(t23_jordan1j, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (r1_xxreal_0(k7_pscomp_1(A), k7_pscomp_1(B)) => k7_pscomp_1(k4_subset_1(u1_struct_0(k15_euclid(2)), A, B))=k7_pscomp_1(B)) ) ) ) ) ).
fof(t24_jordan1j, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (r1_xxreal_0(k8_pscomp_1(A), k8_pscomp_1(B)) => k8_pscomp_1(k4_subset_1(u1_struct_0(k15_euclid(2)), A, B))=k8_pscomp_1(B)) ) ) ) ) ).
fof(t25_jordan1j, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (r1_xxreal_0(k9_pscomp_1(A), k9_pscomp_1(B)) => k9_pscomp_1(k4_subset_1(u1_struct_0(k15_euclid(2)), A, B))=k9_pscomp_1(A)) ) ) ) ) ).
fof(t26_jordan1j, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (r1_xxreal_0(k6_pscomp_1(A), k6_pscomp_1(B)) => k6_pscomp_1(k4_subset_1(u1_struct_0(k15_euclid(2)), A, B))=k6_pscomp_1(A)) ) ) ) ) ).
fof(t27_jordan1j, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ( ~ (r1_xxreal_0(k7_pscomp_1(B), k7_pscomp_1(A)))  => k20_pscomp_1(k4_subset_1(u1_struct_0(k15_euclid(2)), A, B))=k20_pscomp_1(B)) ) ) ) ) ).
fof(t28_jordan1j, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ( ~ (r1_xxreal_0(k7_pscomp_1(B), k7_pscomp_1(A)))  => k21_pscomp_1(k4_subset_1(u1_struct_0(k15_euclid(2)), A, B))=k21_pscomp_1(B)) ) ) ) ) ).
fof(t29_jordan1j, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ( ~ (r1_xxreal_0(k8_pscomp_1(B), k8_pscomp_1(A)))  => k23_pscomp_1(k4_subset_1(u1_struct_0(k15_euclid(2)), A, B))=k23_pscomp_1(B)) ) ) ) ) ).
fof(t30_jordan1j, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ( ~ (r1_xxreal_0(k8_pscomp_1(B), k8_pscomp_1(A)))  => k22_pscomp_1(k4_subset_1(u1_struct_0(k15_euclid(2)), A, B))=k22_pscomp_1(B)) ) ) ) ) ).
fof(t31_jordan1j, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ( ~ (r1_xxreal_0(k9_pscomp_1(B), k9_pscomp_1(A)))  => k25_pscomp_1(k4_subset_1(u1_struct_0(k15_euclid(2)), A, B))=k25_pscomp_1(A)) ) ) ) ) ).
fof(t32_jordan1j, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ( ~ (r1_xxreal_0(k9_pscomp_1(B), k9_pscomp_1(A)))  => k24_pscomp_1(k4_subset_1(u1_struct_0(k15_euclid(2)), A, B))=k24_pscomp_1(A)) ) ) ) ) ).
fof(t33_jordan1j, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ( ~ (r1_xxreal_0(k6_pscomp_1(B), k6_pscomp_1(A)))  => k18_pscomp_1(k4_subset_1(u1_struct_0(k15_euclid(2)), A, B))=k18_pscomp_1(A)) ) ) ) ) ).
fof(t34_jordan1j, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ( ~ (r1_xxreal_0(k6_pscomp_1(B), k6_pscomp_1(A)))  => k19_pscomp_1(k4_subset_1(u1_struct_0(k15_euclid(2)), A, B))=k19_pscomp_1(A)) ) ) ) ) ).
fof(t35_jordan1j, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (v4_topreal1(A) & r2_tarski(B, k3_topreal1(2, A)))  => k7_partfun1(u1_struct_0(k15_euclid(2)), k2_jordan3(A, B), k3_finseq_1(k2_jordan3(A, B)))=k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))) ) ) ) ) ).
fof(t36_jordan1j, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  ( (v2_connsp_1(D, k15_euclid(2)) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ ( (r2_tarski(B, k3_goboard9(A)) &  (r2_tarski(C, k2_goboard9(A)) &  (r2_tarski(B, D) &  (r2_tarski(C, D) & r1_xboole_0(D, k3_topreal1(2, A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_jordan1j, axiom,  (! [A] :  ( (v4_topreal1(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k10_xtuple_0(A)) => k2_jordan3(A, B)=k3_finseq_6(u1_struct_0(k15_euclid(2)), A, k4_finseq_4(A, B), k3_finseq_1(A))) ) ) ) ) ).
fof(t38_jordan1j, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  ( (v4_topreal1(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2))))  =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(C, k10_xtuple_0(B)) => r1_goboard1(u1_struct_0(k15_euclid(2)), k3_jordan3(B, C), A)) ) ) ) ) ) ) ) ).
fof(t39_jordan1j, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  ( (v4_topreal1(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2))))  =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(C, k10_xtuple_0(B)) => r1_goboard1(u1_struct_0(k15_euclid(2)), k2_jordan3(B, C), A)) ) ) ) ) ) ) ) ).
fof(t40_jordan1j, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(A)) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k1_matrix_0(A)) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), A, C, D), k3_topreal1(2, B))) ) ) )  => r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), A, C, D), k10_xtuple_0(B))) ) ) ) ) ) ) ) ) ) ).
fof(t41_jordan1j, axiom,  (! [A] :  ( (v4_topreal1(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  ( (v2_topreal1(B) &  (v3_topreal1(B) &  (v2_funct_1(B) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A), k3_topreal1(2, B))=k1_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1)=k7_partfun1(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B)) &  ( (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(k1_nat_1(C, 2), k3_finseq_1(A)))  => k9_subset_1(u1_struct_0(k15_euclid(2)), k2_topreal1(2, A, C), k1_rltopsp1(k15_euclid(2), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A)), k7_partfun1(u1_struct_0(k15_euclid(2)), B, 1)))=k1_xboole_0) ) )  &  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(2, C) & r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(B)))  => k9_subset_1(u1_struct_0(k15_euclid(2)), k2_topreal1(2, B, C), k1_rltopsp1(k15_euclid(2), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A)), k7_partfun1(u1_struct_0(k15_euclid(2)), B, 1)))=k1_xboole_0) ) ) ) ) ) ) ) )  => v1_goboard5(k8_finseq_1(u1_struct_0(k15_euclid(2)), A, B))) ) ) ) ) ).
fof(t42_jordan1j, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(k1_jordan8(B, A))) &  (r2_tarski(k18_pscomp_1(B), k3_goboard5(k1_jordan8(B, A), 1, C)) &  ~ (k18_pscomp_1(B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), 2, C)) ) ) ) ) ) ) ) ) ) ).
fof(t43_jordan1j, axiom,  (! [A] :  ( (v4_topreal1(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(B, k3_topreal1(2, A)) & r2_tarski(k1_funct_1(A, k3_finseq_1(A)), k3_topreal1(2, k3_jordan3(A, B))))  => k1_funct_1(A, k3_finseq_1(A))=B) ) ) ) ) ).
fof(t44_jordan1j, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ~ (k3_jordan3(A, B)=k1_xboole_0) ) ) ) ) ).
fof(t45_jordan1j, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k3_topreal1(2, A)) => k7_partfun1(u1_struct_0(k15_euclid(2)), k3_jordan3(A, B), k3_finseq_1(k3_jordan3(A, B)))=B) ) ) ) ) ).
fof(t46_jordan1j, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(C, k3_topreal1(2, k1_jordan1e(B, A))) & k17_euclid(C)=k8_pscomp_1(k3_topreal1(2, k1_jordan9(B, A))))  => C=k22_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))) ) ) ) ) ) ) ).
fof(t47_jordan1j, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(C, k3_topreal1(2, k2_jordan1e(B, A))) & k17_euclid(C)=k6_pscomp_1(k3_topreal1(2, k1_jordan9(B, A))))  => C=k18_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))) ) ) ) ) ) ) ).
fof(t48_jordan1j, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_goboard1(u1_struct_0(k15_euclid(2)), k8_finseq_1(u1_struct_0(k15_euclid(2)), B, C), A))  =>  (r1_xxreal_0(k3_finseq_1(B), D) |  (k2_gobrd13(k8_finseq_1(u1_struct_0(k15_euclid(2)), B, C), A, D)=k2_gobrd13(B, A, D) & k1_gobrd13(k8_finseq_1(u1_struct_0(k15_euclid(2)), B, C), A, D)=k1_gobrd13(B, A, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_jordan1j, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(D, k3_finseq_1(B)) => k17_finseq_1(A, D, k7_finseq_6(A, B, C))=k17_finseq_1(A, D, B)) ) ) ) ) ) ) ) ).
fof(t50_jordan1j, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) => k17_finseq_1(A, k3_finseq_1(B), k7_finseq_6(A, B, C))=B) ) ) ) ) ).
fof(t51_jordan1j, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_goboard1(u1_struct_0(k15_euclid(2)), k7_finseq_6(u1_struct_0(k15_euclid(2)), B, C), A))  =>  (r1_xxreal_0(k3_finseq_1(B), D) |  (k2_gobrd13(k7_finseq_6(u1_struct_0(k15_euclid(2)), B, C), A, D)=k2_gobrd13(B, A, D) & k1_gobrd13(k7_finseq_6(u1_struct_0(k15_euclid(2)), B, C), A, D)=k1_gobrd13(B, A, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_jordan1j, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  ( (v4_topreal1(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) &  (r1_goboard1(u1_struct_0(k15_euclid(2)), B, A) & r2_tarski(C, k10_xtuple_0(B))) )  =>  (r1_xxreal_0(k4_finseq_4(B, C), D) |  (k2_gobrd13(k3_jordan3(B, C), A, D)=k2_gobrd13(B, A, D) & k1_gobrd13(k3_jordan3(B, C), A, D)=k1_gobrd13(B, A, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_jordan1j, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_goboard1(u1_struct_0(k15_euclid(2)), B, A))  =>  (r1_xxreal_0(k4_finseq_4(B, C), D) |  (k2_gobrd13(k1_finseq_5(u1_struct_0(k15_euclid(2)), B, C), A, D)=k2_gobrd13(B, A, D) & k1_gobrd13(k1_finseq_5(u1_struct_0(k15_euclid(2)), B, C), A, D)=k1_gobrd13(B, A, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_jordan1j, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  ( (v2_topreal1(A) &  (v3_topreal1(A) &  (v2_funct_1(A) &  (v2_topreal1(B) &  (v3_topreal1(B) &  (v2_funct_1(B) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))=k7_partfun1(u1_struct_0(k15_euclid(2)), B, 1) & k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A), k3_topreal1(2, B))=k1_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), B, 1))) ) ) ) ) ) )  => v3_topreal1(k7_finseq_6(u1_struct_0(k15_euclid(2)), A, B))) ) ) ) ) ).
fof(t55_jordan1j, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  ( (v2_funct_1(A) &  (v2_funct_1(B) & r1_tarski(k3_xboole_0(k10_xtuple_0(A), k10_xtuple_0(B)), k1_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), B, 1)))) )  => v2_funct_1(k7_finseq_6(u1_struct_0(k15_euclid(2)), A, B))) ) ) ) ) ).
fof(t56_jordan1j, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (v4_topreal1(A) & r2_tarski(B, k10_xtuple_0(A)))  =>  (B=k1_funct_1(A, 1) | k1_nat_1(k1_jordan3(A, B), 1)=k4_finseq_4(A, B)) ) ) ) ) ) ).
fof(t57_jordan1j, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), C))  &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(E, k1_matrix_0(k1_jordan8(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_topreal1(2, k1_jordan1e(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_topreal1(2, k2_jordan1e(B, A))) & D=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_jordan1j, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), C))  &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, k1_matrix_0(k1_jordan8(B, A))) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)), k3_topreal1(2, k1_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)), k3_topreal1(2, k2_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D)) & r1_xboole_0(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)), k9_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_jordan1j, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), C))  &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, k1_matrix_0(k1_jordan8(B, A))) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)), k3_topreal1(2, k1_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)), k3_topreal1(2, k2_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D)) & r1_xboole_0(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)), k8_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_jordan1j, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), C))  &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, k1_matrix_0(k1_jordan8(B, A))) &  ( ~ (r1_xxreal_0(A, k5_numbers))  &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)), k8_jordan6(k3_topreal1(2, k1_jordan9(B, A))))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)), k9_jordan6(k3_topreal1(2, k1_jordan9(B, A))))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D)) & r1_xboole_0(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)), k9_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_jordan1j, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), C))  &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, k1_matrix_0(k1_jordan8(B, A))) &  ( ~ (r1_xxreal_0(A, k5_numbers))  &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)), k8_jordan6(k3_topreal1(2, k1_jordan9(B, A))))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)), k9_jordan6(k3_topreal1(2, k1_jordan9(B, A))))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D)) & r1_xboole_0(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)), k8_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_jordan1j, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))), C), k8_jordan6(k3_topreal1(2, k1_jordan9(B, k1_nat_1(A, 1))))) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(k1_jordan8(B, k1_nat_1(A, 1)))) & r1_xboole_0(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, 1), k1_jordan1a(k1_jordan8(B, 1)), 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))), C)), k9_jordan6(k3_topreal1(2, k1_jordan9(B, k1_nat_1(A, 1)))))) ) ) ) ) ) ) ) ) ) ).
fof(t63_jordan1j, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, D) &  (r1_xxreal_0(D, k1_matrix_0(k1_jordan8(B, k1_nat_1(A, 1)))) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))), C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))), D)), k8_jordan6(k3_topreal1(2, k1_jordan9(B, k1_nat_1(A, 1)))))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))), D)) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))), C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))), D)), k9_jordan6(k3_topreal1(2, k1_jordan9(B, k1_nat_1(A, 1)))))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))), C)) & r1_xboole_0(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))), C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))), D)), k9_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_jordan1j, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, D) &  (r1_xxreal_0(D, k1_matrix_0(k1_jordan8(B, k1_nat_1(A, 1)))) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))), C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))), D)), k8_jordan6(k3_topreal1(2, k1_jordan9(B, k1_nat_1(A, 1)))))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))), D)) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))), C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))), D)), k9_jordan6(k3_topreal1(2, k1_jordan9(B, k1_nat_1(A, 1)))))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))), C)) & r1_xboole_0(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))), C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, k1_nat_1(A, 1)), k1_jordan1a(k1_jordan8(B, k1_nat_1(A, 1))), D)), k8_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_jordan1j, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (r1_tarski(A, B) =>  ( ( ~ (r2_tarski(k18_pscomp_1(B), A))  &  ~ (r2_tarski(k19_pscomp_1(B), A)) )  | k6_pscomp_1(A)=k6_pscomp_1(B)) ) ) ) ) ) ).
fof(t66_jordan1j, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (r1_tarski(A, B) =>  ( ( ~ (r2_tarski(k23_pscomp_1(B), A))  &  ~ (r2_tarski(k22_pscomp_1(B), A)) )  | k8_pscomp_1(A)=k8_pscomp_1(B)) ) ) ) ) ) ).
fof(t67_jordan1j, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (r1_tarski(A, B) =>  ( ( ~ (r2_tarski(k20_pscomp_1(B), A))  &  ~ (r2_tarski(k21_pscomp_1(B), A)) )  | k7_pscomp_1(A)=k7_pscomp_1(B)) ) ) ) ) ) ).
fof(t68_jordan1j, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (r1_tarski(A, B) =>  ( ( ~ (r2_tarski(k25_pscomp_1(B), A))  &  ~ (r2_tarski(k24_pscomp_1(B), A)) )  | k9_pscomp_1(A)=k9_pscomp_1(B)) ) ) ) ) ) ).
fof(t1_jordan1k, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v2_funct_2(C, B) =>  (! [D] :  (m1_subset_1(D, B) =>  (? [E] :  (r2_hidden(E, A) & D=k1_funct_1(C, E)) ) ) ) ) ) ) ) ) ) ).
fof(t2_jordan1k, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v2_funct_2(C, B) =>  (! [D] :  (m1_subset_1(D, B) =>  (? [E] :  (m1_subset_1(E, A) & D=k1_funct_1(C, E)) ) ) ) ) ) ) ) ) ) ).
fof(t3_jordan1k, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (v2_funct_2(C, B) => r1_tarski(k3_subset_1(B, k7_relset_1(A, B, C, D)), k7_relset_1(A, B, C, k3_subset_1(A, D)))) ) ) ) ) ) ) ) ).
fof(t4_jordan1k, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (v2_funct_1(C) => r1_tarski(k7_relset_1(A, B, C, k3_subset_1(A, D)), k3_subset_1(B, k7_relset_1(A, B, C, D)))) ) ) ) ) ) ) ) ).
fof(t5_jordan1k, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (v3_funct_2(C, A, B) => k3_subset_1(B, k7_relset_1(A, B, C, D))=k7_relset_1(A, B, C, k3_subset_1(A, D))) ) ) ) ) ) ) ) ).
fof(t6_jordan1k, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (r3_connsp_1(A, k1_struct_0(A), B) <=> v1_xboole_0(B)) ) ) ) ) ).
fof(t7_jordan1k, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r1_tarski(B, C) &  (r3_connsp_1(A, D, B) & r3_connsp_1(A, D, C)) )  => B=C) ) ) ) ) ) ) ) ) ).
fof(t8_jordan1k, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k14_euclid(A)))) =>  ~ ( (v6_tbsp_1(B, k14_euclid(A)) & v6_tbsp_1(k3_subset_1(u1_struct_0(k14_euclid(A)), B), k14_euclid(A))) ) ) ) ) ) ) ).
fof(t9_jordan1k, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_pcomps_1(A))) => r1_xxreal_0(k5_numbers, k3_funct_2(u1_struct_0(k3_pcomps_1(A)), u1_struct_0(k3_topmetr), k6_weierstr(A, B), C))) ) ) ) ) ) ).
fof(t10_jordan1k, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  ( (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (r2_tarski(E, C) => r1_xxreal_0(A, k3_metric_1(B, D, E))) ) )  => r1_xxreal_0(A, k1_funct_1(k6_weierstr(B, C), D))) ) ) ) ) ) ) ) ) ).
fof(t11_jordan1k, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  => r1_xxreal_0(k5_numbers, k7_weierstr(A, B, C))) ) ) ) ) ) ).
fof(t12_jordan1k, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( (v2_compts_1(B, k3_pcomps_1(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  (! [C] :  ( (v2_compts_1(C, k3_pcomps_1(A)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))))  =>  ( ~ (r1_xboole_0(B, C))  => k7_weierstr(A, B, C)=k5_numbers) ) ) ) ) ) ) ).
fof(t13_jordan1k, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(B)))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(B)))))  =>  ( (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( (r2_tarski(E, C) & r2_tarski(F, D))  => r1_xxreal_0(A, k3_metric_1(B, E, F))) ) ) ) )  => r1_xxreal_0(A, k7_weierstr(B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t14_jordan1k, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  ~ ( (r3_connsp_1(k15_euclid(A), k3_subset_1(u1_struct_0(k15_euclid(A)), C), B) &  ( ~ (r1_jordan2c(A, C, B))  &  ~ (r2_jordan2c(A, C, B)) ) ) ) ) ) ) ) ) ) ).
fof(t15_jordan1k, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) => k1_jordan2c(A, k1_struct_0(k15_euclid(A)))=k1_struct_0(k15_euclid(A))) ) ) ).
fof(t16_jordan1k, axiom,  (! [A] :  (v7_ordinal1(A) => k1_jordan2c(A, k2_struct_0(k15_euclid(A)))=k1_struct_0(k15_euclid(A))) ) ).
fof(t17_jordan1k, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) => k2_jordan2c(A, k1_struct_0(k15_euclid(A)))=k2_struct_0(k15_euclid(A))) ) ) ).
fof(t18_jordan1k, axiom,  (! [A] :  (v7_ordinal1(A) => k2_jordan2c(A, k2_struct_0(k15_euclid(A)))=k1_struct_0(k15_euclid(A))) ) ).
fof(t19_jordan1k, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  ~ ( (r1_xboole_0(B, C) &  ( ~ (r1_tarski(B, k2_jordan2c(A, C)))  &  ~ (r1_tarski(B, k1_jordan2c(A, C))) ) ) ) ) ) ) ) ) ) ).
fof(t20_jordan1k, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (v1_xreal_0(B) => k1_topreal6(2, k19_euclid(k5_numbers, k5_numbers), k1_rlvect_1(k15_euclid(2), A, B))=k3_xcmplx_0(k9_complex1(B), k1_topreal6(2, k19_euclid(k5_numbers, k5_numbers), A))) ) ) ) ).
fof(t21_jordan1k, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) => k1_topreal6(2, k3_rlvect_1(k15_euclid(2), B, A), k3_rlvect_1(k15_euclid(2), C, A))=k1_topreal6(2, B, C)) ) ) ) ) ) ).
fof(t22_jordan1k, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (A=B)  & r1_xxreal_0(k1_topreal6(2, A, B), k5_numbers)) ) ) ) ) ) ).
fof(t23_jordan1k, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) => k1_topreal6(2, k5_algstr_0(k15_euclid(2), B, A), k5_algstr_0(k15_euclid(2), C, A))=k1_topreal6(2, B, C)) ) ) ) ) ) ).
fof(t24_jordan1k, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => k1_topreal6(2, A, B)=k1_topreal6(2, k4_algstr_0(k15_euclid(2), A), k4_algstr_0(k15_euclid(2), B))) ) ) ) ).
fof(t25_jordan1k, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) => k1_topreal6(2, k5_algstr_0(k15_euclid(2), A, B), k5_algstr_0(k15_euclid(2), A, C))=k1_topreal6(2, B, C)) ) ) ) ) ) ).
fof(t26_jordan1k, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v1_xreal_0(C) => k1_topreal6(2, k1_rlvect_1(k15_euclid(2), A, C), k1_rlvect_1(k15_euclid(2), B, C))=k3_xcmplx_0(k9_complex1(C), k1_topreal6(2, A, B))) ) ) ) ) ) ).
fof(t27_jordan1k, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v1_xreal_0(C) =>  (r1_xxreal_0(C, 1) => k1_topreal6(2, A, k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), A, C), k1_rlvect_1(k15_euclid(2), B, k6_xcmplx_0(1, C))))=k3_xcmplx_0(k6_xcmplx_0(1, C), k1_topreal6(2, A, B))) ) ) ) ) ) ) ).
fof(t28_jordan1k, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v1_xreal_0(C) =>  (r1_xxreal_0(k5_numbers, C) => k1_topreal6(2, B, k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), A, C), k1_rlvect_1(k15_euclid(2), B, k6_xcmplx_0(1, C))))=k3_xcmplx_0(C, k1_topreal6(2, A, B))) ) ) ) ) ) ) ).
fof(t29_jordan1k, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(A, k1_rltopsp1(k15_euclid(2), B, C)) => k2_xcmplx_0(k1_topreal6(2, B, A), k1_topreal6(2, A, C))=k1_topreal6(2, B, C)) ) ) ) ) ) ) ).
fof(t30_jordan1k, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(B, k1_rltopsp1(k15_euclid(2), C, A)) &  ( ~ (B=C)  & r1_xxreal_0(k1_topreal6(2, C, A), k1_topreal6(2, B, A))) ) ) ) ) ) ) ) ) ).
fof(t32_jordan1k, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k2_jgraph_2(B, C, B, D), A)=k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), A, B), k19_euclid(C, D))) ) ) ) ) ) ) ) ).
fof(t33_jordan1k, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v1_xreal_0(C) => k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k2_jgraph_2(C, k17_euclid(B), C, k18_euclid(B)), A)=k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), A, C), B)) ) ) ) ) ) ).
fof(t34_jordan1k, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  ~ (r1_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k1_euclid(2), k1_euclid(2), k1_partfun1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k2_jgraph_2(k7_xcmplx_0(1, A), k4_xcmplx_0(k7_xcmplx_0(C, A)), k7_xcmplx_0(1, B), k4_xcmplx_0(k7_xcmplx_0(D, B))), k2_jgraph_2(A, C, B, D)), k6_partfun1(k1_euclid(2)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_jordan1k, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_euclid(2))) =>  ( (D=k19_euclid(k5_numbers, k5_numbers) & C=A)  =>  (r1_xxreal_0(B, k5_numbers) | k7_relset_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k2_jgraph_2(B, k17_euclid(A), B, k18_euclid(A)), k8_metric_1(k14_euclid(2), D, 1))=k8_metric_1(k14_euclid(2), C, B)) ) ) ) ) ) ) ) ) ) ).
fof(t36_jordan1k, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  ~ (v2_funct_2(k2_jgraph_2(A, B, C, D), u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_jordan1k, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k14_euclid(2))) =>  (v2_connsp_1(k3_subset_1(u1_struct_0(k14_euclid(2)), k8_metric_1(k14_euclid(2), B, A)), k15_euclid(2)) & m1_subset_1(k3_subset_1(u1_struct_0(k14_euclid(2)), k8_metric_1(k14_euclid(2), B, A)), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) ) ) ).
fof(d1_jordan1k, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [D] :  (v1_xreal_0(D) =>  (D=k1_jordan1k(A, B, C) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(k14_euclid(A))))) &  (? [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(k14_euclid(A))))) &  (B=E &  (C=F & D=k7_weierstr(k14_euclid(A), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_jordan1k, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  => r1_xxreal_0(k5_numbers, k1_jordan1k(A, B, C))) ) ) ) ) ) ).
fof(t39_jordan1k, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (! [C] :  ( (v2_compts_1(C, k15_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  ( ~ (r1_xboole_0(B, C))  => k1_jordan1k(A, B, C)=k5_numbers) ) ) ) ) ) ) ).
fof(t40_jordan1k, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  ( (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(A))) =>  ( (r2_tarski(E, C) & r2_tarski(F, D))  => r1_xxreal_0(B, k1_topreal6(A, E, F))) ) ) ) )  => r1_xxreal_0(B, k1_jordan1k(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t41_jordan1k, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (r1_tarski(D, B) => r1_xxreal_0(k1_jordan1k(A, C, B), k1_jordan1k(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t42_jordan1k, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A))))) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_compts_1(C, k15_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A))))) )  =>  (? [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) &  (? [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) &  (r2_tarski(D, B) &  (r2_tarski(E, C) & k4_jordan1k(A, B, C)=k1_topreal6(A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_jordan1k, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) => k4_jordan1k(A, k6_domain_1(u1_struct_0(k15_euclid(A)), B), k6_domain_1(u1_struct_0(k15_euclid(A)), C))=k1_topreal6(A, B, C)) ) ) ) ) ) ).
fof(d2_jordan1k, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => k5_jordan1k(A, B, C)=k1_jordan1k(A, k6_domain_1(u1_struct_0(k15_euclid(A)), B), C)) ) ) ) ) ) ).
fof(t44_jordan1k, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) => r1_xxreal_0(k5_numbers, k5_jordan1k(A, C, B))) ) ) ) ) ) ).
fof(t45_jordan1k, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (r2_tarski(C, B) => k5_jordan1k(A, C, B)=k5_numbers) ) ) ) ) ) ) ).
fof(t46_jordan1k, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) &  (r2_tarski(D, B) & k5_jordan1k(A, C, B)=k1_topreal6(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t47_jordan1k, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (r1_tarski(B, C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) => r1_xxreal_0(k5_jordan1k(A, D, C), k5_jordan1k(A, D, B))) ) ) ) ) ) ) ) ) ).
fof(t48_jordan1k, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  ( (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  (r2_tarski(E, C) => r1_xxreal_0(B, k1_topreal6(A, D, E))) ) )  => r1_xxreal_0(B, k5_jordan1k(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t49_jordan1k, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) => k5_jordan1k(A, B, k6_domain_1(u1_struct_0(k15_euclid(A)), C))=k1_topreal6(A, B, C)) ) ) ) ) ) ).
fof(t50_jordan1k, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (r2_tarski(D, B) => r1_xxreal_0(k5_jordan1k(A, C, B), k1_topreal6(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t51_jordan1k, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  ( (v3_pre_topc(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (r1_tarski(A, B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r2_tarski(C, B))  & r1_xxreal_0(k5_jordan1k(2, C, A), k5_jordan1k(2, C, B))) ) ) ) ) ) ) ) ) ).
fof(dt_k1_jordan1k, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A))))) )  => v1_xreal_0(k1_jordan1k(A, B, C))) ) ).
fof(dt_k2_jordan1k, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k3_pcomps_1(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) )  &  ( ~ (v1_xboole_0(C))  &  (v2_compts_1(C, k3_pcomps_1(A)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) ) ) )  => v1_xreal_0(k2_jordan1k(A, B, C))) ) ).
fof(commutativity_k2_jordan1k, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k3_pcomps_1(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) )  &  ( ~ (v1_xboole_0(C))  &  (v2_compts_1(C, k3_pcomps_1(A)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) ) ) )  => k2_jordan1k(A, B, C)=k2_jordan1k(A, C, B)) ) ).
fof(redefinition_k2_jordan1k, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k3_pcomps_1(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) )  &  ( ~ (v1_xboole_0(C))  &  (v2_compts_1(C, k3_pcomps_1(A)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) ) ) )  => k2_jordan1k(A, B, C)=k7_weierstr(A, B, C)) ) ).
fof(dt_k3_jordan1k, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k3_pcomps_1(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) )  &  ( ~ (v1_xboole_0(C))  &  (v2_compts_1(C, k3_pcomps_1(A)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) ) ) )  => v1_xreal_0(k3_jordan1k(A, B, C))) ) ).
fof(commutativity_k3_jordan1k, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k3_pcomps_1(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) )  &  ( ~ (v1_xboole_0(C))  &  (v2_compts_1(C, k3_pcomps_1(A)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) ) ) )  => k3_jordan1k(A, B, C)=k3_jordan1k(A, C, B)) ) ).
fof(redefinition_k3_jordan1k, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  &  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k3_pcomps_1(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) )  &  ( ~ (v1_xboole_0(C))  &  (v2_compts_1(C, k3_pcomps_1(A)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) ) ) )  => k3_jordan1k(A, B, C)=k10_weierstr(A, B, C)) ) ).
fof(dt_k4_jordan1k, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A))))) )  &  ( ~ (v1_xboole_0(C))  &  (v2_compts_1(C, k15_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A))))) ) ) )  => v1_xreal_0(k4_jordan1k(A, B, C))) ) ).
fof(commutativity_k4_jordan1k, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A))))) )  &  ( ~ (v1_xboole_0(C))  &  (v2_compts_1(C, k15_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A))))) ) ) )  => k4_jordan1k(A, B, C)=k4_jordan1k(A, C, B)) ) ).
fof(redefinition_k4_jordan1k, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A))))) )  &  ( ~ (v1_xboole_0(C))  &  (v2_compts_1(C, k15_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A))))) ) ) )  => k4_jordan1k(A, B, C)=k1_jordan1k(A, B, C)) ) ).
fof(dt_k5_jordan1k, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A))))) )  => v1_xreal_0(k5_jordan1k(A, B, C))) ) ).
fof(t31_jordan1k, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k14_euclid(2))) =>  (B=k19_euclid(k5_numbers, k5_numbers) => k8_metric_1(k14_euclid(2), B, A)=a_1_0_jordan1k(A)) ) ) ) ) ).
fof(fraenkel_a_1_0_jordan1k, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_0_jordan1k(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (A=C &  ~ (r1_xxreal_0(B, k12_euclid(C))) ) ) ) ) ) ) ).
fof(t1_jordan20, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r1_topreal1(k15_euclid(2), B, C, A) & r2_tarski(D, A))  => k5_jordan6(A, B, C, D, D)=k1_tarski(D)) ) ) ) ) ) ) ) ) ).
fof(t2_jordan20, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r2_tarski(C, k1_rltopsp1(k15_euclid(2), A, B)) &  (r1_xxreal_0(k17_euclid(A), D) & r1_xxreal_0(k17_euclid(B), D)) )  => r1_xxreal_0(k17_euclid(C), D)) ) ) ) ) ) ) ) ) ).
fof(t3_jordan20, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r2_tarski(C, k1_rltopsp1(k15_euclid(2), A, B)) &  (r1_xxreal_0(D, k17_euclid(A)) & r1_xxreal_0(D, k17_euclid(B))) )  => r1_xxreal_0(D, k17_euclid(C))) ) ) ) ) ) ) ) ) ).
fof(t4_jordan20, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( (r2_tarski(C, k1_rltopsp1(k15_euclid(2), A, B)) &  ( ~ (r1_xxreal_0(D, k17_euclid(A)))  &  ( ~ (r1_xxreal_0(D, k17_euclid(B)))  & r1_xxreal_0(D, k17_euclid(C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_jordan20, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( (r2_tarski(C, k1_rltopsp1(k15_euclid(2), A, B)) &  ( ~ (r1_xxreal_0(k17_euclid(A), D))  &  ( ~ (r1_xxreal_0(k17_euclid(B), D))  & r1_xxreal_0(k17_euclid(C), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_jordan20, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v4_topreal1(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r1_xxreal_0(1, A) &  (r2_tarski(C, k2_topreal1(2, B, A)) &  (r2_tarski(D, k2_topreal1(2, B, A)) &  (k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), B, A))=k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), B, k1_nat_1(A, 1))) & r1_jordan5c(k3_topreal1(2, B), k7_partfun1(u1_struct_0(k15_euclid(2)), B, 1), k7_partfun1(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B)), C, D)) ) ) )  =>  (r1_xxreal_0(k3_finseq_1(B), A) |  (r1_xxreal_0(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), B, A)), k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), B, k1_nat_1(A, 1)))) | r1_xxreal_0(k17_euclid(D), k17_euclid(C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_jordan20, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v4_topreal1(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r1_xxreal_0(1, A) &  (r2_tarski(C, k2_topreal1(2, B, A)) &  (r2_tarski(D, k2_topreal1(2, B, A)) &  (k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), B, A))=k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), B, k1_nat_1(A, 1))) & r1_jordan5c(k3_topreal1(2, B), k7_partfun1(u1_struct_0(k15_euclid(2)), B, 1), k7_partfun1(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B)), C, D)) ) ) )  =>  (r1_xxreal_0(k3_finseq_1(B), A) |  (r1_xxreal_0(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), B, k1_nat_1(A, 1))), k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), B, A))) | r1_xxreal_0(k17_euclid(C), k17_euclid(D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_jordan20, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (r1_jordan20(A, B, C, D, E) <=>  (r1_topreal1(k15_euclid(2), B, C, A) &  (r2_tarski(D, A) &  (k17_euclid(D)=E &  (? [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) &  ( ~ (r1_xxreal_0(E, k17_euclid(F)))  &  (r1_jordan5c(A, B, C, F, D) &  (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(2))) =>  ( (r1_jordan5c(A, B, C, F, G) & r1_jordan5c(A, B, C, G, D))  => r1_xxreal_0(k17_euclid(G), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_jordan20, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (r2_jordan20(A, B, C, D, E) <=>  (r1_topreal1(k15_euclid(2), B, C, A) &  (r2_tarski(D, A) &  (k17_euclid(D)=E &  (? [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) &  ( ~ (r1_xxreal_0(k17_euclid(F), E))  &  (r1_jordan5c(A, B, C, F, D) &  (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(2))) =>  ( (r1_jordan5c(A, B, C, F, G) & r1_jordan5c(A, B, C, G, D))  => r1_xxreal_0(E, k17_euclid(G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_jordan20, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (r3_jordan20(A, B, C, D, E) <=>  (r1_topreal1(k15_euclid(2), B, C, A) &  (r2_tarski(D, A) &  (k17_euclid(D)=E &  (? [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) &  ( ~ (r1_xxreal_0(E, k17_euclid(F)))  &  (r1_jordan5c(A, B, C, D, F) &  (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(2))) =>  ( (r1_jordan5c(A, B, C, G, F) & r1_jordan5c(A, B, C, D, G))  => r1_xxreal_0(k17_euclid(G), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_jordan20, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (r4_jordan20(A, B, C, D, E) <=>  (r1_topreal1(k15_euclid(2), B, C, A) &  (r2_tarski(D, A) &  (k17_euclid(D)=E &  (? [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) &  ( ~ (r1_xxreal_0(k17_euclid(F), E))  &  (r1_jordan5c(A, B, C, D, F) &  (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(2))) =>  ( (r1_jordan5c(A, B, C, G, F) & r1_jordan5c(A, B, C, D, G))  => r1_xxreal_0(E, k17_euclid(G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_jordan20, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (r5_jordan20(A, B, C, D, E) <=>  (r1_topreal1(k15_euclid(2), B, C, A) &  (r2_tarski(D, A) &  (k17_euclid(D)=E &  (? [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) &  (r1_jordan5c(A, B, C, F, D) &  ( (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(2))) =>  ( (r1_jordan5c(A, B, C, F, G) & r1_jordan5c(A, B, C, G, D))  => k17_euclid(G)=E) ) )  &  (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(2))) =>  (r1_jordan5c(A, B, C, G, F) =>  (G=F |  ( (? [H] :  (m1_subset_1(H, u1_struct_0(k15_euclid(2))) &  (r1_jordan5c(A, B, C, G, H) &  (r1_jordan5c(A, B, C, H, F) &  ~ (r1_xxreal_0(k17_euclid(H), E)) ) ) ) )  &  (? [H] :  (m1_subset_1(H, u1_struct_0(k15_euclid(2))) &  (r1_jordan5c(A, B, C, G, H) &  (r1_jordan5c(A, B, C, H, F) &  ~ (r1_xxreal_0(E, k17_euclid(H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_jordan20, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  (r6_jordan20(A, B, C, D, E) <=>  (r1_topreal1(k15_euclid(2), B, C, A) &  (r2_tarski(D, A) &  (k17_euclid(D)=E &  (? [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) &  (r1_jordan5c(A, B, C, D, F) &  ( (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(2))) =>  ( (r1_jordan5c(A, B, C, G, F) & r1_jordan5c(A, B, C, D, G))  => k17_euclid(G)=E) ) )  &  (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(2))) =>  (r1_jordan5c(A, B, C, F, G) =>  (G=F |  ( (? [H] :  (m1_subset_1(H, u1_struct_0(k15_euclid(2))) &  (r1_jordan5c(A, B, C, H, G) &  (r1_jordan5c(A, B, C, F, H) &  ~ (r1_xxreal_0(k17_euclid(H), E)) ) ) ) )  &  (? [H] :  (m1_subset_1(H, u1_struct_0(k15_euclid(2))) &  (r1_jordan5c(A, B, C, H, G) &  (r1_jordan5c(A, B, C, F, H) &  ~ (r1_xxreal_0(E, k17_euclid(H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_jordan20, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r1_topreal1(k15_euclid(2), B, C, A) &  (r1_xxreal_0(k17_euclid(B), E) &  (r1_xxreal_0(E, k17_euclid(C)) &  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(F, A) & k17_euclid(F)=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_jordan20, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r1_topreal1(k15_euclid(2), B, C, A) &  ( ~ (r1_xxreal_0(E, k17_euclid(B)))  &  (r2_tarski(D, A) &  (k17_euclid(D)=E &  ( ~ (r1_jordan20(A, B, C, D, E))  &  ( ~ (r2_jordan20(A, B, C, D, E))  &  ~ (r5_jordan20(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_jordan20, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r1_topreal1(k15_euclid(2), B, C, A) &  ( ~ (r1_xxreal_0(k17_euclid(C), E))  &  (r2_tarski(D, A) &  (k17_euclid(D)=E &  ( ~ (r3_jordan20(A, B, C, D, E))  &  ( ~ (r4_jordan20(A, B, C, D, E))  &  ~ (r6_jordan20(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_jordan20, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k5_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (A=k3_rcomp_1(k5_numbers, B) => v3_pre_topc(A, k5_topmetr)) ) ) ) ) ).
fof(t12_jordan20, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k5_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (A=k4_rcomp_1(B, 1) => v3_pre_topc(A, k5_topmetr)) ) ) ) ) ).
fof(t17_jordan20, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (k9_subset_1(u1_struct_0(A), B, C)=k1_xboole_0 &  (k4_subset_1(u1_struct_0(A), B, C)=u1_struct_0(A) &  (r2_tarski(D, B) &  (r2_tarski(E, C) &  (v3_pre_topc(B, A) & v3_pre_topc(C, A)) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(A))))) )  =>  ~ ( (v5_pre_topc(F, k5_topmetr, A) &  (k1_funct_1(F, k5_numbers)=D & k1_funct_1(F, 1)=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_jordan20, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ( (r1_topreal1(k15_euclid(2), C, D, A) &  (r2_tarski(E, A) & B=k7_subset_1(u1_struct_0(k15_euclid(2)), A, k1_tarski(E))) )  =>  (E=C |  (E=D |  ( ~ (v2_connsp_1(B, k1_pre_topc(k15_euclid(2), A)))  &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2), A), B))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2), A), B)))))) )  =>  ~ ( (v5_pre_topc(F, k5_topmetr, k1_pre_topc(k1_pre_topc(k15_euclid(2), A), B)) &  (k1_funct_1(F, k5_numbers)=C & k1_funct_1(F, 1)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_jordan20, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_topreal1(k15_euclid(2), B, C, A) &  (r2_tarski(D, A) &  (r2_tarski(E, A) &  ( ~ (r1_jordan5c(A, B, C, D, E))  &  ~ (r1_jordan5c(A, B, C, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_jordan20, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  ( (r1_topreal1(k15_euclid(A), B, C, D) &  (r1_topreal1(k15_euclid(A), B, C, E) & r1_tarski(E, D)) )  => E=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_jordan20, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r1_topreal1(k15_euclid(2), B, C, A) & r2_tarski(D, A))  =>  (C=D | r1_topreal1(k15_euclid(2), D, C, k5_jordan6(A, B, C, D, C))) ) ) ) ) ) ) ) ) ) ).
fof(t22_jordan20, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  ( (r1_topreal1(k15_euclid(2), B, C, A) &  (r1_jordan5c(A, B, C, D, E) & r1_jordan5c(A, B, C, E, F)) )  => k4_subset_1(u1_struct_0(k15_euclid(2)), k5_jordan6(A, B, C, D, E), k5_jordan6(A, B, C, E, F))=k5_jordan6(A, B, C, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_jordan20, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  ( (r1_topreal1(k15_euclid(2), B, C, A) &  (r1_jordan5c(A, B, C, D, E) & r1_jordan5c(A, B, C, E, F)) )  => k9_subset_1(u1_struct_0(k15_euclid(2)), k5_jordan6(A, B, C, D, E), k5_jordan6(A, B, C, E, F))=k1_tarski(E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_jordan20, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r1_topreal1(k15_euclid(2), B, C, A) => k5_jordan6(A, B, C, B, C)=A) ) ) ) ) ) ) ).
fof(t25_jordan20, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  ( (r1_topreal1(k15_euclid(2), C, D, A) &  (r1_topreal1(k15_euclid(2), E, F, B) &  (r1_jordan5c(A, C, D, E, F) & r1_tarski(B, A)) ) )  => B=k5_jordan6(A, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_jordan20, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  (! [G] :  (v1_xreal_0(G) =>  ( (r1_jordan20(A, B, C, D, G) &  (k17_euclid(E)=G &  (r1_tarski(k1_rltopsp1(k15_euclid(2), D, E), A) & r2_tarski(F, k1_rltopsp1(k15_euclid(2), D, E))) ) )  => r1_jordan20(A, B, C, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_jordan20, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  (! [G] :  (v1_xreal_0(G) =>  ( (r2_jordan20(A, B, C, D, G) &  (k17_euclid(E)=G &  (r1_tarski(k1_rltopsp1(k15_euclid(2), D, E), A) & r2_tarski(F, k1_rltopsp1(k15_euclid(2), D, E))) ) )  => r2_jordan20(A, B, C, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_jordan20, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  (! [G] :  (v1_xreal_0(G) =>  ( (r3_jordan20(A, B, C, D, G) &  (k17_euclid(E)=G &  (r1_tarski(k1_rltopsp1(k15_euclid(2), D, E), A) & r2_tarski(F, k1_rltopsp1(k15_euclid(2), D, E))) ) )  => r3_jordan20(A, B, C, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_jordan20, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  (! [G] :  (v1_xreal_0(G) =>  ( (r4_jordan20(A, B, C, D, G) &  (k17_euclid(E)=G &  (r1_tarski(k1_rltopsp1(k15_euclid(2), D, E), A) & r2_tarski(F, k1_rltopsp1(k15_euclid(2), D, E))) ) )  => r4_jordan20(A, B, C, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_jordan20, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r1_topreal4(A, B, C) &  ( ~ (r1_xxreal_0(E, k17_euclid(B)))  &  (r2_tarski(D, A) &  (k17_euclid(D)=E &  ( ~ (r1_jordan20(A, B, C, D, E))  &  ~ (r2_jordan20(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_jordan20, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r1_topreal4(A, B, C) &  ( ~ (r1_xxreal_0(k17_euclid(C), E))  &  (r2_tarski(D, A) &  (k17_euclid(D)=E &  ( ~ (r3_jordan20(A, B, C, D, E))  &  ~ (r4_jordan20(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_jordan20, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k5_topmetr))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), A)))))) )  =>  (! [E] :  (v1_xreal_0(E) =>  ( (r1_xxreal_0(E, 1) &  (B=a_3_0_jordan20(A, D, E) & C=k3_rcomp_1(k5_numbers, E)) )  => k7_relset_1(u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), A)), D, C)=B) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_jordan20, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k5_topmetr))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), A)))))) )  =>  (! [E] :  (v1_xreal_0(E) =>  ( (r1_xxreal_0(k5_numbers, E) &  (B=a_3_1_jordan20(A, D, E) & C=k4_rcomp_1(E, 1)) )  => k7_relset_1(u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), A)), D, C)=B) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_jordan20, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), A)))))) )  =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(D, 1) &  (v3_tops_2(C, k5_topmetr, k1_pre_topc(k15_euclid(2), A)) & B=a_3_0_jordan20(A, C, D)) )  => v3_pre_topc(B, k1_pre_topc(k15_euclid(2), A))) ) ) ) ) ) ) ) ) ).
fof(t16_jordan20, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), A)))))) )  =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(k5_numbers, D) &  (v3_tops_2(C, k5_topmetr, k1_pre_topc(k15_euclid(2), A)) & B=a_3_1_jordan20(A, C, D)) )  => v3_pre_topc(B, k1_pre_topc(k15_euclid(2), A))) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_jordan20, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), B)))))) )  & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_0_jordan20(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) &  (A=E &  (? [F] :  (v1_xreal_0(F) &  (r1_xxreal_0(k5_numbers, F) &  ( ~ (r1_xxreal_0(D, F))  & E=k1_funct_1(C, F)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_jordan20, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), B)))))) )  & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_1_jordan20(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) &  (A=E &  (? [F] :  (v1_xreal_0(F) &  ( ~ (r1_xxreal_0(F, D))  &  (r1_xxreal_0(F, 1) & E=k1_funct_1(C, F)) ) ) ) ) ) ) ) ) ) ).
fof(cc1_jordan21, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (v1_jordan21(A) =>  ~ (v1_xboole_0(A)) ) ) ) ).
fof(cc2_jordan21, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (v1_topreal2(A) =>  (v1_topreal2(A) & v1_jordan21(A)) ) ) ) ).
fof(rc1_jordan21, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  ( ~ (v1_xboole_0(A))  &  (v4_pre_topc(A, k15_euclid(2)) &  (v2_connsp_1(A, k15_euclid(2)) &  (v2_compts_1(A, k15_euclid(2)) &  (v9_rltopsp1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  &  (v1_topreal2(A) & v1_jordan21(A)) ) ) ) ) ) ) ) ) ) ).
fof(fc1_jordan21, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ( ~ (v1_xboole_0(k9_jordan6(A)))  & v1_jordan21(k9_jordan6(A))) ) ) ).
fof(fc2_jordan21, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ( ~ (v1_xboole_0(k8_jordan6(A)))  & v1_jordan21(k8_jordan6(A))) ) ) ).
fof(t1_jordan21, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) => v9_rltopsp1(k6_domain_1(u1_struct_0(k15_euclid(A)), B), k15_euclid(A))) ) ) ) ).
fof(t6_jordan21, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => v1_convex1(k7_subset_1(u1_struct_0(k15_euclid(2)), k4_topreal1(A), k6_domain_1(u1_struct_0(k15_euclid(2)), A)), k15_euclid(2))) ) ).
fof(t7_jordan21, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => v1_convex1(k7_subset_1(u1_struct_0(k15_euclid(2)), k6_topreal1(A), k6_domain_1(u1_struct_0(k15_euclid(2)), A)), k15_euclid(2))) ) ).
fof(t8_jordan21, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => v1_convex1(k7_subset_1(u1_struct_0(k15_euclid(2)), k7_topreal1(A), k6_domain_1(u1_struct_0(k15_euclid(2)), A)), k15_euclid(2))) ) ).
fof(t9_jordan21, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => v1_convex1(k7_subset_1(u1_struct_0(k15_euclid(2)), k5_topreal1(A), k6_domain_1(u1_struct_0(k15_euclid(2)), A)), k15_euclid(2))) ) ).
fof(t10_jordan21, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => r1_xboole_0(k2_jordan2c(2, A), A)) ) ).
fof(t11_jordan21, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (r1_topreal1(k15_euclid(2), B, C, A) =>  (B=D |  (C=E |  ( ~ (r2_tarski(B, k5_jordan6(A, B, C, D, E)))  &  ~ (r2_tarski(C, k5_jordan6(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_jordan21, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (v1_jordan21(A) <=>  ~ (r1_xboole_0(A, k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2)))) ) ) ) ).
fof(t12_jordan21, axiom,  (! [A] :  ( (v1_jordan21(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ (v1_xboole_0(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k9_subset_1(u1_struct_0(k15_euclid(2)), A, k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2)))))) ) ) ).
fof(t13_jordan21, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (v2_rcomp_1(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k9_subset_1(u1_struct_0(k15_euclid(2)), A, k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2))))) &  (v3_xxreal_2(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k9_subset_1(u1_struct_0(k15_euclid(2)), A, k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2))))) & v4_xxreal_2(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k9_subset_1(u1_struct_0(k15_euclid(2)), A, k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2)))))) ) ) ) ).
fof(t14_jordan21, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => r2_tarski(k10_jordan6(A), A)) ) ).
fof(t15_jordan21, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ (k18_euclid(k10_jordan6(A))=k18_euclid(k11_jordan6(A))) ) ) ).
fof(t16_jordan21, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ (k10_jordan6(A)=k11_jordan6(A)) ) ) ).
fof(t17_jordan21, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => k6_pscomp_1(A)=k6_pscomp_1(k8_jordan6(A))) ) ).
fof(t18_jordan21, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => k8_pscomp_1(A)=k8_pscomp_1(k8_jordan6(A))) ) ).
fof(t19_jordan21, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => k6_pscomp_1(A)=k6_pscomp_1(k9_jordan6(A))) ) ).
fof(t20_jordan21, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => k8_pscomp_1(A)=k8_pscomp_1(k9_jordan6(A))) ) ).
fof(t21_jordan21, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ( ~ (v1_xboole_0(k9_subset_1(u1_struct_0(k15_euclid(2)), k8_jordan6(A), k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2)))))  &  ~ (v1_xboole_0(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k9_subset_1(u1_struct_0(k15_euclid(2)), k8_jordan6(A), k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2)))))) ) ) ) ).
fof(t22_jordan21, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ( ~ (v1_xboole_0(k9_subset_1(u1_struct_0(k15_euclid(2)), k9_jordan6(A), k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2)))))  &  ~ (v1_xboole_0(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k9_subset_1(u1_struct_0(k15_euclid(2)), k9_jordan6(A), k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2)))))) ) ) ) ).
fof(t23_jordan21, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ~ ( (r1_tarski(B, A) &  (r2_tarski(k18_pscomp_1(A), B) &  (r2_tarski(k22_pscomp_1(A), B) &  ( ~ (r1_tarski(k8_jordan6(A), B))  &  ~ (r1_tarski(k9_jordan6(A), B)) ) ) ) ) ) ) ) ) ) ).
fof(d2_jordan21, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k1_jordan21(A)=k19_euclid(k7_xcmplx_0(k2_xcmplx_0(k8_pscomp_1(A), k6_pscomp_1(A)), 2), k2_seq_4(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k9_subset_1(u1_struct_0(k15_euclid(2)), A, k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k8_pscomp_1(A), k6_pscomp_1(A)), 2))))))) ) ).
fof(d3_jordan21, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k2_jordan21(A)=k19_euclid(k7_xcmplx_0(k2_xcmplx_0(k8_pscomp_1(A), k6_pscomp_1(A)), 2), k3_seq_4(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k9_subset_1(u1_struct_0(k15_euclid(2)), A, k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k8_pscomp_1(A), k6_pscomp_1(A)), 2))))))) ) ).
fof(t24_jordan21, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ~ (k1_jordan21(A)=k18_pscomp_1(A)) ) ) ).
fof(t25_jordan21, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ~ (k1_jordan21(A)=k22_pscomp_1(A)) ) ) ).
fof(t26_jordan21, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ~ (k2_jordan21(A)=k18_pscomp_1(A)) ) ) ).
fof(t27_jordan21, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ~ (k2_jordan21(A)=k22_pscomp_1(A)) ) ) ).
fof(t28_jordan21, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (r2_tarski(A, k9_subset_1(u1_struct_0(k15_euclid(2)), B, k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(B), k8_pscomp_1(B)), 2)))) => r1_xxreal_0(k18_euclid(A), k18_euclid(k1_jordan21(B)))) ) ) ) ) ).
fof(t29_jordan21, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (r2_tarski(A, k9_subset_1(u1_struct_0(k15_euclid(2)), B, k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(B), k8_pscomp_1(B)), 2)))) => r1_xxreal_0(k18_euclid(k2_jordan21(B)), k18_euclid(A))) ) ) ) ) ).
fof(t30_jordan21, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  (v1_jordan21(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  => r2_tarski(k1_jordan21(A), A)) ) ).
fof(t31_jordan21, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  (v1_jordan21(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  => r2_tarski(k2_jordan21(A), A)) ) ).
fof(t32_jordan21, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => v2_sppol_1(k1_rltopsp1(k15_euclid(2), k1_jordan21(A), k19_euclid(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2), k7_pscomp_1(A))))) ) ).
fof(t33_jordan21, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => v2_sppol_1(k1_rltopsp1(k15_euclid(2), k2_jordan21(A), k19_euclid(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2), k9_pscomp_1(A))))) ) ).
fof(t34_jordan21, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  (v1_jordan21(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  => k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k1_jordan21(A), k19_euclid(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2), k7_pscomp_1(A))), A)=k6_domain_1(u1_struct_0(k15_euclid(2)), k1_jordan21(A))) ) ).
fof(t35_jordan21, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  (v1_jordan21(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  => k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k2_jordan21(A), k19_euclid(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2), k9_pscomp_1(A))), A)=k6_domain_1(u1_struct_0(k15_euclid(2)), k2_jordan21(A))) ) ).
fof(t36_jordan21, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ (r1_xxreal_0(k18_euclid(k1_jordan21(A)), k18_euclid(k2_jordan21(A)))) ) ) ).
fof(t37_jordan21, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ (k1_jordan21(A)=k2_jordan21(A)) ) ) ).
fof(t38_jordan21, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ (r1_xxreal_0(k18_euclid(k1_jordan21(A)), k9_pscomp_1(A))) ) ) ).
fof(t39_jordan21, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => r1_xxreal_0(k18_euclid(k1_jordan21(A)), k7_pscomp_1(A))) ) ).
fof(t40_jordan21, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => r1_xxreal_0(k9_pscomp_1(A), k18_euclid(k2_jordan21(A)))) ) ).
fof(t41_jordan21, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ (r1_xxreal_0(k7_pscomp_1(A), k18_euclid(k2_jordan21(A)))) ) ) ).
fof(t42_jordan21, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => r1_subset_1(k1_rltopsp1(k15_euclid(2), k1_jordan21(A), k19_euclid(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2), k7_pscomp_1(A))), k1_rltopsp1(k15_euclid(2), k2_jordan21(A), k19_euclid(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2), k9_pscomp_1(A))))) ) ).
fof(t43_jordan21, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (r1_tarski(A, B) &  (k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A))=k2_xcmplx_0(k6_pscomp_1(B), k8_pscomp_1(B)) & v4_xxreal_2(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k9_subset_1(u1_struct_0(k15_euclid(2)), B, k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2)))))) )  =>  (v1_xboole_0(k9_subset_1(u1_struct_0(k15_euclid(2)), A, k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2)))) | r1_xxreal_0(k18_euclid(k1_jordan21(A)), k18_euclid(k1_jordan21(B)))) ) ) ) ) ) ).
fof(t44_jordan21, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (r1_tarski(A, B) &  (k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A))=k2_xcmplx_0(k6_pscomp_1(B), k8_pscomp_1(B)) & v3_xxreal_2(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k9_subset_1(u1_struct_0(k15_euclid(2)), B, k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2)))))) )  =>  (v1_xboole_0(k9_subset_1(u1_struct_0(k15_euclid(2)), A, k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2)))) | r1_xxreal_0(k18_euclid(k2_jordan21(B)), k18_euclid(k2_jordan21(A)))) ) ) ) ) ) ).
fof(t45_jordan21, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (r1_tarski(A, B) &  (r2_tarski(k1_jordan21(B), A) &  (v4_xxreal_2(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k9_subset_1(u1_struct_0(k15_euclid(2)), B, k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(B), k8_pscomp_1(B)), 2))))) & k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A))=k2_xcmplx_0(k6_pscomp_1(B), k8_pscomp_1(B))) ) )  =>  (v1_xboole_0(k9_subset_1(u1_struct_0(k15_euclid(2)), A, k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2)))) | k1_jordan21(A)=k1_jordan21(B)) ) ) ) ) ) ).
fof(t46_jordan21, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (r1_tarski(A, B) &  (r2_tarski(k2_jordan21(B), A) &  (v3_xxreal_2(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k9_subset_1(u1_struct_0(k15_euclid(2)), B, k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(B), k8_pscomp_1(B)), 2))))) & k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A))=k2_xcmplx_0(k6_pscomp_1(B), k8_pscomp_1(B))) ) )  =>  (v1_xboole_0(k9_subset_1(u1_struct_0(k15_euclid(2)), A, k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2)))) | k2_jordan21(A)=k2_jordan21(B)) ) ) ) ) ) ).
fof(t47_jordan21, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => r1_xxreal_0(k18_euclid(k1_jordan21(k8_jordan6(A))), k7_pscomp_1(A))) ) ).
fof(t48_jordan21, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => r1_xxreal_0(k9_pscomp_1(A), k18_euclid(k2_jordan21(k9_jordan6(A))))) ) ).
fof(t49_jordan21, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ ( (r2_tarski(k2_jordan21(A), k9_jordan6(A)) & r2_tarski(k1_jordan21(A), k9_jordan6(A))) ) ) ) ).
fof(t50_jordan21, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ ( (r2_tarski(k2_jordan21(A), k8_jordan6(A)) & r2_tarski(k1_jordan21(A), k8_jordan6(A))) ) ) ) ).
fof(dt_k1_jordan21, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k1_jordan21(A), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k2_jordan21, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k2_jordan21(A), u1_struct_0(k15_euclid(2)))) ) ).
fof(t2_jordan21, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (C=a_2_0_jordan21(A, B) => v1_convex1(C, k15_euclid(2))) ) ) ) ) ) ) ).
fof(t3_jordan21, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (C=a_2_1_jordan21(A, B) => v1_convex1(C, k15_euclid(2))) ) ) ) ) ) ) ).
fof(t4_jordan21, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (C=a_2_2_jordan21(A, B) => v1_convex1(C, k15_euclid(2))) ) ) ) ) ) ) ).
fof(t5_jordan21, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (C=a_2_3_jordan21(A, B) => v1_convex1(C, k15_euclid(2))) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_jordan21, axiom,  (! [A, B, C] :  ( (v1_xreal_0(B) & v1_xreal_0(C))  =>  (r2_hidden(A, a_2_0_jordan21(B, C)) <=>  (? [D] :  (v1_xreal_0(D) &  (A=k19_euclid(D, C) &  ~ (r1_xxreal_0(D, B)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_jordan21, axiom,  (! [A, B, C] :  ( (v1_xreal_0(B) & v1_xreal_0(C))  =>  (r2_hidden(A, a_2_1_jordan21(B, C)) <=>  (? [D] :  (v1_xreal_0(D) &  (A=k19_euclid(D, C) &  ~ (r1_xxreal_0(B, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_2_jordan21, axiom,  (! [A, B, C] :  ( (v1_xreal_0(B) & v1_xreal_0(C))  =>  (r2_hidden(A, a_2_2_jordan21(B, C)) <=>  (? [D] :  (v1_xreal_0(D) &  (A=k19_euclid(B, D) &  ~ (r1_xxreal_0(D, C)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_3_jordan21, axiom,  (! [A, B, C] :  ( (v1_xreal_0(B) & v1_xreal_0(C))  =>  (r2_hidden(A, a_2_3_jordan21(B, C)) <=>  (? [D] :  (v1_xreal_0(D) &  (A=k19_euclid(B, D) &  ~ (r1_xxreal_0(C, D)) ) ) ) ) ) ) ).
fof(fc1_jordan22, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ( ~ (v1_xboole_0(k8_jordan6(A)))  & v2_connsp_1(k8_jordan6(A), k15_euclid(2))) ) ) ).
fof(fc2_jordan22, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ( ~ (v1_xboole_0(k9_jordan6(A)))  & v2_connsp_1(k9_jordan6(A), k15_euclid(2))) ) ) ).
fof(fc3_jordan22, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => v2_compts_1(k3_jordan19(A), k15_euclid(2))) ) ).
fof(fc4_jordan22, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => v2_compts_1(k4_jordan19(A), k15_euclid(2))) ) ).
fof(t1_jordan22, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) => r1_tarski(k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(2))), k1_jordan19(A), B), k2_pre_topc(k15_euclid(2), k3_goboard9(k1_jordan9(A, k5_numbers))))) ) ) ) ).
fof(t2_jordan22, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) => r1_tarski(k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(2))), k2_jordan19(A), B), k2_pre_topc(k15_euclid(2), k3_goboard9(k1_jordan9(A, k5_numbers))))) ) ) ) ).
fof(t3_jordan22, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (v2_compts_1(k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(2))), k1_jordan19(A), B), k15_euclid(2)) & v2_connsp_1(k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(2))), k1_jordan19(A), B), k15_euclid(2))) ) ) ) ) ).
fof(t4_jordan22, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (v2_compts_1(k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(2))), k2_jordan19(A), B), k15_euclid(2)) & v2_connsp_1(k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(2))), k2_jordan19(A), B), k15_euclid(2))) ) ) ) ) ).
fof(t5_jordan22, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) => r2_tarski(k1_domain_1(k4_ordinal1, k4_ordinal1, 1, 1), k2_matrix_0(k1_jordan8(A, B)))) ) ) ) ).
fof(t6_jordan22, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) => r2_tarski(k1_domain_1(k4_ordinal1, k4_ordinal1, 1, 2), k2_matrix_0(k1_jordan8(A, B)))) ) ) ) ).
fof(t7_jordan22, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) => r2_tarski(k1_domain_1(k4_ordinal1, k4_ordinal1, 2, 1), k2_matrix_0(k1_jordan8(A, B)))) ) ) ) ).
fof(t8_jordan22, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v2_compts_1(E, k15_euclid(2)) &  ( ~ (v1_sppol_1(E))  &  ( ~ (v2_sppol_1(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  ~ ( ( ~ (r1_xxreal_0(D, C))  &  (r2_hidden(k4_tarski(A, B), k2_matrix_0(k1_jordan8(E, C))) &  (r2_hidden(k4_tarski(A, k1_nat_1(B, 1)), k2_matrix_0(k1_jordan8(E, C))) & r1_xxreal_0(k1_topreal6(2, k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(E, C), A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(E, C), A, k1_nat_1(B, 1))), k1_topreal6(2, k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(E, D), A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(E, D), A, k1_nat_1(B, 1))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_jordan22, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v2_compts_1(C, k15_euclid(2)) &  ( ~ (v1_sppol_1(C))  &  ( ~ (v2_sppol_1(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  ~ ( ( ~ (r1_xxreal_0(B, A))  & r1_xxreal_0(k1_topreal6(2, k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(C, A), 1, 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(C, A), 1, 2)), k1_topreal6(2, k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(C, B), 1, 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(C, B), 1, 2)))) ) ) ) ) ) ) ) ).
fof(t10_jordan22, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v2_compts_1(E, k15_euclid(2)) &  ( ~ (v1_sppol_1(E))  &  ( ~ (v2_sppol_1(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  ~ ( ( ~ (r1_xxreal_0(D, C))  &  (r2_hidden(k4_tarski(A, B), k2_matrix_0(k1_jordan8(E, C))) &  (r2_hidden(k4_tarski(k1_nat_1(A, 1), B), k2_matrix_0(k1_jordan8(E, C))) & r1_xxreal_0(k1_topreal6(2, k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(E, C), A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(E, C), k1_nat_1(A, 1), B)), k1_topreal6(2, k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(E, D), A, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(E, D), k1_nat_1(A, 1), B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_jordan22, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v2_compts_1(C, k15_euclid(2)) &  ( ~ (v1_sppol_1(C))  &  ( ~ (v2_sppol_1(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  ~ ( ( ~ (r1_xxreal_0(B, A))  & r1_xxreal_0(k1_topreal6(2, k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(C, A), 1, 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(C, A), 2, 1)), k1_topreal6(2, k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(C, B), 1, 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(C, B), 2, 1)))) ) ) ) ) ) ) ) ).
fof(t12_jordan22, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(E, B))  &  ( ~ (r1_xxreal_0(C, k1_topreal6(2, k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, E), 1, 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, E), 1, 2))))  &  ~ (r1_xxreal_0(D, k1_topreal6(2, k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, E), 1, 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, E), 2, 1)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_jordan22, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  => k2_seq_4(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, k1_jordan9(A, B)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), k1_jordan1a(k1_jordan8(A, B)), 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), k1_jordan1a(k1_jordan8(A, B)), k3_finseq_1(k1_jordan8(A, B)))))))=k2_seq_4(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, k1_jordan9(A, B)), k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k8_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))), k6_pscomp_1(k3_topreal1(2, k1_jordan9(A, B)))), 2)))))) ) ) ) ) ).
fof(t14_jordan22, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  => k3_seq_4(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, k1_jordan9(A, B)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), k1_jordan1a(k1_jordan8(A, B)), 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), k1_jordan1a(k1_jordan8(A, B)), k3_finseq_1(k1_jordan8(A, B)))))))=k3_seq_4(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, k1_jordan9(A, B)), k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k8_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))), k6_pscomp_1(k3_topreal1(2, k1_jordan9(A, B)))), 2)))))) ) ) ) ) ).
fof(t15_jordan22, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  => k1_jordan21(k3_topreal1(2, k1_jordan9(A, B)))=k19_euclid(k7_xcmplx_0(k2_xcmplx_0(k8_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))), k6_pscomp_1(k3_topreal1(2, k1_jordan9(A, B)))), 2), k2_seq_4(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, k1_jordan9(A, B)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), k1_jordan1a(k1_jordan8(A, B)), 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), k1_jordan1a(k1_jordan8(A, B)), k3_finseq_1(k1_jordan8(A, B))))))))) ) ) ) ) ).
fof(t16_jordan22, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  => k2_jordan21(k3_topreal1(2, k1_jordan9(A, B)))=k19_euclid(k7_xcmplx_0(k2_xcmplx_0(k8_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))), k6_pscomp_1(k3_topreal1(2, k1_jordan9(A, B)))), 2), k3_seq_4(k7_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, k1_jordan9(A, B)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), k1_jordan1a(k1_jordan8(A, B)), 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), k1_jordan1a(k1_jordan8(A, B)), k3_finseq_1(k1_jordan8(A, B))))))))) ) ) ) ) ).
fof(t17_jordan22, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  ~ (r1_xxreal_0(k18_euclid(k1_jordan21(k3_topreal1(2, k1_jordan9(A, B)))), k18_euclid(k1_jordan21(A)))) ) ) ) ) ).
fof(t18_jordan22, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  ~ (r1_xxreal_0(k18_euclid(k2_jordan21(A)), k18_euclid(k2_jordan21(k3_topreal1(2, k1_jordan9(A, B)))))) ) ) ) ) ).
fof(t19_jordan22, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(k1_jordan8(A, B))) & k1_jordan21(k3_topreal1(2, k1_jordan9(A, B)))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), k1_jordan1a(k1_jordan8(A, B)), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_jordan22, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(k1_jordan8(A, B))) & k2_jordan21(k3_topreal1(2, k1_jordan9(A, B)))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), k1_jordan1a(k1_jordan8(A, B)), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_jordan22, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  => k1_jordan21(k3_topreal1(2, k1_jordan9(A, B)))=k1_jordan21(k8_jordan6(k3_topreal1(2, k1_jordan9(A, B))))) ) ) ) ) ).
fof(t22_jordan22, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  => k2_jordan21(k3_topreal1(2, k1_jordan9(A, B)))=k2_jordan21(k9_jordan6(k3_topreal1(2, k1_jordan9(A, B))))) ) ) ) ) ).
fof(t23_jordan22, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  & r1_xxreal_0(k18_euclid(k1_jordan21(k8_jordan6(k3_topreal1(2, k1_jordan9(A, B))))), k18_euclid(k1_jordan21(A)))) ) ) ) ) ) ).
fof(t24_jordan22, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  & r1_xxreal_0(k18_euclid(k2_jordan21(A)), k18_euclid(k2_jordan21(k9_jordan6(k3_topreal1(2, k1_jordan9(A, B))))))) ) ) ) ) ) ).
fof(t25_jordan22, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, C) => r1_xxreal_0(k18_euclid(k1_jordan21(k3_topreal1(2, k1_jordan9(A, C)))), k18_euclid(k1_jordan21(k3_topreal1(2, k1_jordan9(A, B)))))) ) ) ) ) ) ) ).
fof(t26_jordan22, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, C) => r1_xxreal_0(k18_euclid(k2_jordan21(k3_topreal1(2, k1_jordan9(A, B)))), k18_euclid(k2_jordan21(k3_topreal1(2, k1_jordan9(A, C)))))) ) ) ) ) ) ) ).
fof(t27_jordan22, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, C) =>  (r1_xxreal_0(B, k5_numbers) | r1_xxreal_0(k18_euclid(k1_jordan21(k8_jordan6(k3_topreal1(2, k1_jordan9(A, C))))), k18_euclid(k1_jordan21(k8_jordan6(k3_topreal1(2, k1_jordan9(A, B))))))) ) ) ) ) ) ) ) ).
fof(t28_jordan22, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, C) =>  (r1_xxreal_0(B, k5_numbers) | r1_xxreal_0(k18_euclid(k2_jordan21(k9_jordan6(k3_topreal1(2, k1_jordan9(A, B))))), k18_euclid(k2_jordan21(k9_jordan6(k3_topreal1(2, k1_jordan9(A, C))))))) ) ) ) ) ) ) ) ).
fof(t29_jordan22, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => r2_tarski(k18_pscomp_1(A), k3_jordan19(A))) ) ).
fof(t30_jordan22, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => r2_tarski(k22_pscomp_1(A), k3_jordan19(A))) ) ).
fof(t31_jordan22, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => r2_tarski(k18_pscomp_1(A), k4_jordan19(A))) ) ).
fof(t32_jordan22, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => r2_tarski(k22_pscomp_1(A), k4_jordan19(A))) ) ).
fof(t33_jordan22, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => r2_tarski(k1_jordan21(A), k3_jordan19(A))) ) ).
fof(t34_jordan22, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => r2_tarski(k2_jordan21(A), k4_jordan19(A))) ) ).
fof(t35_jordan22, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => r1_tarski(k3_jordan19(A), A)) ) ).
fof(t36_jordan22, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => r1_tarski(k4_jordan19(A), A)) ) ).
fof(t37_jordan22, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ( (r2_tarski(k2_jordan21(A), k9_jordan6(A)) & r2_tarski(k1_jordan21(A), k8_jordan6(A)))  |  (r2_tarski(k1_jordan21(A), k9_jordan6(A)) & r2_tarski(k2_jordan21(A), k8_jordan6(A))) ) ) ) ).
fof(t38_jordan22, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => k6_pscomp_1(A)=k6_pscomp_1(k3_jordan19(A))) ) ).
fof(t39_jordan22, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => k8_pscomp_1(A)=k8_pscomp_1(k3_jordan19(A))) ) ).
fof(t40_jordan22, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => k6_pscomp_1(A)=k6_pscomp_1(k4_jordan19(A))) ) ).
fof(t41_jordan22, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => k8_pscomp_1(A)=k8_pscomp_1(k4_jordan19(A))) ) ).
fof(fc1_jordan23, axiom,  (! [A] : v2_funct_1(k5_finseq_1(A))) ).
fof(cc1_jordan23, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_funct_1(A) & v1_finseq_1(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_jordan23(A)) ) ) ) ) ).
fof(cc2_jordan23, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_jordan23(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_jordan23(A)) ) ) ) ) ).
fof(cc3_jordan23, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_xboole_0(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_jordan23(A)) ) ) ) ) ).
fof(fc2_jordan23, axiom,  (! [A] : v2_jordan23(k5_finseq_1(A))) ).
fof(fc3_jordan23, axiom,  (! [A, B] : v3_jordan23(k10_finseq_1(A, B))) ).
fof(rc1_jordan23, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) & v2_jordan23(A)) ) ) ) ) ) ) ) ).
fof(rc2_jordan23, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_finseq_1(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) &  (v1_finseq_6(B, A) & v2_jordan23(B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_jordan23, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v2_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ) ).
fof(fc4_jordan23, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_jordan23(A)) ) )  =>  (v1_relat_1(k3_finseq_5(A)) &  (v1_funct_1(k3_finseq_5(A)) &  (v1_finseq_1(k3_finseq_5(A)) & v1_jordan23(k3_finseq_5(A))) ) ) ) ) ).
fof(fc5_jordan23, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_jordan23(A)) ) )  =>  (v1_relat_1(k3_finseq_5(A)) &  (v1_funct_1(k3_finseq_5(A)) &  (v1_finseq_1(k3_finseq_5(A)) & v2_jordan23(k3_finseq_5(A))) ) ) ) ) ).
fof(fc6_jordan23, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_jordan23(A)) ) )  =>  (v1_relat_1(k3_finseq_5(A)) &  (v1_funct_1(k3_finseq_5(A)) &  (v1_finseq_1(k3_finseq_5(A)) & v3_jordan23(k3_finseq_5(A))) ) ) ) ) ).
fof(rc4_jordan23, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_finseq_1(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v2_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) & v1_finseq_6(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc7_jordan23, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_jordan23(B) & m1_finseq_1(B, A))  & m1_subset_1(C, A)) )  => v1_jordan23(k1_finseq_6(A, B, C))) ) ).
fof(fc8_jordan23, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_finseq_6(B, A) &  (v2_jordan23(B) & m1_finseq_1(B, A)) )  & m1_subset_1(C, A)) )  => v2_jordan23(k1_finseq_6(A, B, C))) ) ).
fof(fc9_jordan23, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_finseq_6(B, A) &  (v3_jordan23(B) & m1_finseq_1(B, A)) )  & m1_subset_1(C, A)) )  => v3_jordan23(k1_finseq_6(A, B, C))) ) ).
fof(fc10_jordan23, axiom,  (! [A, B] :  ( ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  & v7_ordinal1(B))  =>  ( ~ (v1_xboole_0(k1_jordan9(A, B)))  &  ( ~ (v3_funct_1(k1_jordan9(A, B)))  &  (v1_finseq_6(k1_jordan9(A, B), u1_struct_0(k15_euclid(2))) &  (v1_topreal1(k1_jordan9(A, B)) &  (v2_topreal1(k1_jordan9(A, B)) &  (v1_goboard5(k1_jordan9(A, B)) &  (v2_goboard5(k1_jordan9(A, B)) &  (v1_sprect_2(k1_jordan9(A, B)) & v1_jordan23(k1_jordan9(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(fc11_jordan23, axiom,  (! [A, B] :  ( ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  & v7_ordinal1(B))  =>  ( ~ (v1_xboole_0(k1_jordan9(A, B)))  &  ( ~ (v3_funct_1(k1_jordan9(A, B)))  &  (v1_finseq_6(k1_jordan9(A, B), u1_struct_0(k15_euclid(2))) &  (v1_topreal1(k1_jordan9(A, B)) &  (v2_topreal1(k1_jordan9(A, B)) &  (v1_goboard5(k1_jordan9(A, B)) &  (v2_goboard5(k1_jordan9(A, B)) &  (v1_sprect_2(k1_jordan9(A, B)) & v2_jordan23(k1_jordan9(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(cc4_jordan23, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_funct_1(A) & v1_finseq_1(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_jordan23(A)) ) ) ) ) ).
fof(t1_jordan23, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k3_topreal1(2, A)) => r1_xxreal_0(1, k3_finseq_1(k2_jordan3(A, B)))) ) ) ) ) ).
fof(t2_jordan23, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => r1_xxreal_0(1, k3_finseq_1(k3_jordan3(A, B)))) ) ) ) ).
fof(t3_jordan23, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ (k4_jordan3(A, B, C)=k1_xboole_0) ) ) ) ) ) ) ).
fof(d1_jordan23, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_jordan23(A) <=>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r2_tarski(B, k4_finseq_1(A)) &  (r2_tarski(C, k4_finseq_1(A)) & k1_funct_1(A, B)=k1_funct_1(A, C)) )  =>  ( (B=1 & C=k3_finseq_1(A))  |  ( (B=k3_finseq_1(A) & C=1)  | B=C) ) ) ) ) ) ) ) ) ) ).
fof(d2_jordan23, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v2_jordan23(A) <=>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(1, B) &  ( ~ (r1_xxreal_0(k3_finseq_1(A), B))  & k1_funct_1(A, B)=k1_funct_1(A, k1_nat_1(B, 1))) ) ) ) ) ) ) ) ).
fof(d3_jordan23, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  ( ( ~ (k3_finseq_1(A)=2)  =>  (v3_jordan23(A) <=>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(1, B) &  ( ~ (r1_xxreal_0(k3_finseq_1(A), B))  & k1_funct_1(A, B)=k1_funct_1(A, k1_nat_1(B, 1))) ) ) ) ) ) )  &  (k3_finseq_1(A)=2 => v3_jordan23(A)) ) ) ) ).
fof(t4_jordan23, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (v1_jordan23(B) <=>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(C, k4_finseq_1(B)) &  (r2_tarski(D, k4_finseq_1(B)) & k7_partfun1(A, B, C)=k7_partfun1(A, B, D)) )  =>  ( (C=1 & D=k3_finseq_1(B))  |  ( (C=k3_finseq_1(B) & D=1)  | C=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_jordan23, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (v2_jordan23(B) <=>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, C) &  ( ~ (r1_xxreal_0(k3_finseq_1(B), C))  & k7_partfun1(A, B, C)=k7_partfun1(A, B, k1_nat_1(C, 1))) ) ) ) ) ) ) ) ) ).
fof(t6_jordan23, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (v3_jordan23(B) <=>  ( ~ (k3_finseq_1(B)=2)  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, C) &  ( ~ (r1_xxreal_0(k3_finseq_1(B), C))  & k7_partfun1(A, B, C)=k7_partfun1(A, B, k1_nat_1(C, 1))) ) ) ) ) ) ) ) ) ) ).
fof(t7_jordan23, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  ( ~ (k3_finseq_1(A)=2)  =>  (v2_jordan23(A) <=> v3_jordan23(A)) ) ) ) ).
fof(t8_jordan23, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_jordan23(A) => v1_jordan23(k3_finseq_5(A))) ) ) ).
fof(t9_jordan23, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v2_jordan23(A) => v2_jordan23(k3_finseq_5(A))) ) ) ).
fof(t10_jordan23, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v3_jordan23(A) => v3_jordan23(k3_finseq_5(A))) ) ) ).
fof(t11_jordan23, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (v1_jordan23(B) =>  (! [C] :  (m1_subset_1(C, A) => v1_jordan23(k1_finseq_6(A, B, C))) ) ) ) ) ) ) ).
fof(t12_jordan23, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  ( (v2_jordan23(B) & v1_finseq_6(B, A))  =>  (! [C] :  (m1_subset_1(C, A) => v2_jordan23(k1_finseq_6(A, B, C))) ) ) ) ) ) ) ).
fof(t13_jordan23, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  ( (v3_jordan23(B) & v1_finseq_6(B, A))  =>  (! [C] :  (m1_subset_1(C, A) => v3_jordan23(k1_finseq_6(A, B, C))) ) ) ) ) ) ) ).
fof(t14_jordan23, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (v1_jordan23(B) <=>  (v2_funct_1(k2_rfinseq(A, 1, B)) & v2_funct_1(k17_finseq_1(A, k7_nat_d(k3_finseq_1(B), 1), B))) ) ) ) ) ) ).
fof(t15_jordan23, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(B, k3_topreal1(2, A)) & v2_jordan23(A))  => k4_jordan3(A, B, B)=k13_matrix_0(u1_struct_0(k15_euclid(2)), B)) ) ) ) ) ).
fof(t16_jordan23, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v2_funct_1(A) => v2_jordan23(A)) ) ) ).
fof(t17_jordan23, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (v2_jordan23(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(B, k3_topreal1(2, A)) & r2_tarski(C, k3_topreal1(2, A)))  => k4_jordan3(A, B, C)=k4_finseq_5(u1_struct_0(k15_euclid(2)), k4_jordan3(A, C, B))) ) ) ) ) ) ) ) ).
fof(t18_jordan23, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v7_ordinal1(C) =>  ( (v3_jordan23(A) &  (v2_topreal1(A) &  (v3_topreal1(A) &  (r1_xxreal_0(C, k3_finseq_1(A)) & B=k1_funct_1(A, C)) ) ) )  =>  (r1_xxreal_0(C, 1) | k1_nat_1(k1_jordan3(A, B), 1)=C) ) ) ) ) ) ) ) ).
fof(t19_jordan23, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (v2_jordan23(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(B, k3_topreal1(2, A)) & r2_tarski(C, k3_topreal1(2, A)))  => k7_partfun1(u1_struct_0(k15_euclid(2)), k4_jordan3(A, B, C), 1)=B) ) ) ) ) ) ) ) ).
fof(t20_jordan23, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (v2_jordan23(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(B, k3_topreal1(2, A)) & r2_tarski(C, k3_topreal1(2, A)))  => k7_partfun1(u1_struct_0(k15_euclid(2)), k4_jordan3(A, B, C), k3_finseq_1(k4_jordan3(A, B, C)))=C) ) ) ) ) ) ) ) ).
fof(t21_jordan23, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k3_topreal1(2, A)) => r1_tarski(k3_topreal1(2, k2_jordan3(A, B)), k3_topreal1(2, A))) ) ) ) ) ).
fof(t22_jordan23, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(B, k3_topreal1(2, A)) &  (r2_tarski(C, k3_topreal1(2, A)) & v2_jordan23(A)) )  => r1_tarski(k3_topreal1(2, k4_jordan3(A, B, C)), k3_topreal1(2, A))) ) ) ) ) ) ) ).
fof(t23_jordan23, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => r1_tarski(k4_finseq_1(A), k4_finseq_1(k6_finseq_6(A, B)))) ) ) ) ).
fof(t24_jordan23, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => r1_tarski(k4_finseq_1(B), k4_finseq_1(k6_finseq_6(A, B)))) ) ) ) ).
fof(t25_jordan23, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (v3_funct_1(k6_finseq_6(A, B)) => v3_funct_1(A)) ) ) ) ) ).
fof(t26_jordan23, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( (v3_funct_1(k6_finseq_6(A, B)) & k1_funct_1(A, k3_finseq_1(A))=k1_funct_1(B, 1))  =>  (A=k1_xboole_0 | v3_funct_1(B)) ) ) ) ) ) ).
fof(t27_jordan23, axiom,  (! [A] :  ( (v1_topreal1(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => v1_topreal1(k3_finseq_6(u1_struct_0(k15_euclid(2)), A, B, C))) ) ) ) ) ) ).
fof(t28_jordan23, axiom,  (! [A] :  ( (v2_topreal1(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => v2_topreal1(k3_finseq_6(u1_struct_0(k15_euclid(2)), A, B, C))) ) ) ) ) ) ).
fof(t29_jordan23, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (v1_topreal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k3_topreal1(2, A)) => v1_topreal1(k2_jordan3(A, B))) ) ) ) ) ) ).
fof(t30_jordan23, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (v1_topreal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k3_topreal1(2, A)) => v1_topreal1(k3_jordan3(A, B))) ) ) ) ) ) ).
fof(t31_jordan23, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  ( (v1_topreal1(A) & v2_jordan23(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(B, k3_topreal1(2, A)) & r2_tarski(C, k3_topreal1(2, A)))  => v1_topreal1(k4_jordan3(A, B, C))) ) ) ) ) ) ) ) ).
fof(t32_jordan23, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (v2_topreal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k3_topreal1(2, A)) => v2_topreal1(k2_jordan3(A, B))) ) ) ) ) ) ).
fof(t33_jordan23, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (v2_topreal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k3_topreal1(2, A)) => v2_topreal1(k3_jordan3(A, B))) ) ) ) ) ) ).
fof(t34_jordan23, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  ( (v2_topreal1(A) & v2_jordan23(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(B, k3_topreal1(2, A)) & r2_tarski(C, k3_topreal1(2, A)))  => v2_topreal1(k4_jordan3(A, B, C))) ) ) ) ) ) ) ) ).
fof(t35_jordan23, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (v1_jordan23(A) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v3_topreal1(A) &  (r2_tarski(C, k3_topreal1(2, A)) & B=k8_finseq_1(u1_struct_0(k15_euclid(2)), k3_finseq_6(u1_struct_0(k15_euclid(2)), A, 1, k1_jordan3(A, C)), k13_matrix_0(u1_struct_0(k15_euclid(2)), C))) ) ) ) )  =>  (C=k1_funct_1(A, 1) | r1_jordan3(B, k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1), C)) ) ) ) ) ) ) ) ).
fof(t36_jordan23, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (v3_jordan23(A) &  (v2_topreal1(A) &  (v3_topreal1(A) &  (r2_tarski(B, k3_topreal1(2, A)) & B=k1_funct_1(A, k1_nat_1(k1_jordan3(A, B), 1))) ) ) )  =>  (B=k1_funct_1(A, k3_finseq_1(A)) | k1_nat_1(k1_nat_1(k1_jordan3(k4_finseq_5(u1_struct_0(k15_euclid(2)), A), B), k1_jordan3(A, B)), 1)=k3_finseq_1(A)) ) ) ) ) ) ).
fof(t37_jordan23, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (v2_jordan23(A) & r1_xxreal_0(2, k3_finseq_1(A)))  => k2_jordan3(A, k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1))=A) ) ) ) ) ).
fof(t38_jordan23, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (v3_jordan23(A) &  (v2_topreal1(A) &  (v3_topreal1(A) & r2_tarski(B, k3_topreal1(2, A))) ) )  =>  (B=k1_funct_1(A, k3_finseq_1(A)) | k2_jordan3(k4_finseq_5(u1_struct_0(k15_euclid(2)), A), B)=k4_finseq_5(u1_struct_0(k15_euclid(2)), k3_jordan3(A, B))) ) ) ) ) ) ).
fof(t39_jordan23, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (v1_jordan23(A) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v3_topreal1(A) & r2_tarski(B, k3_topreal1(2, A))) ) ) )  =>  (B=k1_funct_1(A, 1) | r1_jordan3(k3_jordan3(A, B), k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1), B)) ) ) ) ) ) ).
fof(t40_jordan23, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (v1_jordan23(A) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v3_topreal1(A) & r2_tarski(B, k3_topreal1(2, A))) ) ) )  =>  (B=k1_funct_1(A, k3_finseq_1(A)) |  (B=k1_funct_1(A, 1) | r1_jordan3(k2_jordan3(A, B), B, k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A)))) ) ) ) ) ) ) ).
fof(t41_jordan23, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (v1_jordan23(A) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v3_topreal1(A) & r2_tarski(B, k3_topreal1(2, A))) ) ) )  =>  (B=k1_funct_1(A, 1) | v4_topreal1(k3_jordan3(A, B))) ) ) ) ) ) ).
fof(t42_jordan23, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (v1_jordan23(A) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v3_topreal1(A) & r2_tarski(B, k3_topreal1(2, A))) ) ) )  =>  (B=k1_funct_1(A, k3_finseq_1(A)) |  (B=k1_funct_1(A, 1) | v4_topreal1(k2_jordan3(A, B))) ) ) ) ) ) ) ).
fof(t43_jordan23, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (v1_jordan23(A) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v3_topreal1(A) &  (r2_tarski(B, k3_topreal1(2, A)) & r2_tarski(C, k3_topreal1(2, A))) ) ) ) )  =>  (k3_finseq_1(A)=2 |  (B=C |  (B=k1_funct_1(A, 1) |  (C=k1_funct_1(A, 1) | r1_jordan3(k4_jordan3(A, B, C), B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_jordan23, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (v1_jordan23(A) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v3_topreal1(A) &  (r2_tarski(B, k3_topreal1(2, A)) & r2_tarski(C, k3_topreal1(2, A))) ) ) ) )  =>  (k3_finseq_1(A)=2 |  (B=C |  (B=k1_funct_1(A, 1) |  (C=k1_funct_1(A, 1) | v4_topreal1(k4_jordan3(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_jordan23, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(C, k1_jordan2c(2, k3_topreal1(2, k1_jordan9(B, A)))) &  (! [E] :  ( (v4_topreal1(E) & m2_finseq_1(E, u1_struct_0(k15_euclid(2))))  =>  ~ ( (E=k4_jordan3(k17_finseq_1(u1_struct_0(k15_euclid(2)), k7_nat_d(k3_finseq_1(k1_finseq_6(u1_struct_0(k15_euclid(2)), k1_jordan9(B, A), k7_partfun1(u1_struct_0(k15_euclid(2)), k1_jordan9(B, A), k1_jordan3(k1_jordan9(B, A), k2_jordan18(C, k3_topreal1(2, k1_jordan9(B, A))))))), 1), k1_finseq_6(u1_struct_0(k15_euclid(2)), k1_jordan9(B, A), k7_partfun1(u1_struct_0(k15_euclid(2)), k1_jordan9(B, A), k1_jordan3(k1_jordan9(B, A), k2_jordan18(C, k3_topreal1(2, k1_jordan9(B, A))))))), k2_jordan18(C, k3_topreal1(2, k1_jordan9(B, A))), k1_jordan18(C, k3_topreal1(2, k1_jordan9(B, A)))) &  (? [F] :  ( (v4_topreal1(F) & m2_finseq_1(F, u1_struct_0(k15_euclid(2))))  &  (r1_goboard1(u1_struct_0(k15_euclid(2)), F, k2_goboard2(k7_finseq_6(u1_struct_0(k15_euclid(2)), E, k2_finseq_4(u1_struct_0(k15_euclid(2)), k1_jordan18(C, k3_topreal1(2, k1_jordan9(B, A))), k2_jordan18(C, k3_topreal1(2, k1_jordan9(B, A))))))) &  (k3_topreal1(2, k2_finseq_4(u1_struct_0(k15_euclid(2)), k1_jordan18(C, k3_topreal1(2, k1_jordan9(B, A))), k2_jordan18(C, k3_topreal1(2, k1_jordan9(B, A)))))=k3_topreal1(2, F) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), F, 1)=k1_jordan18(C, k3_topreal1(2, k1_jordan9(B, A))) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), F, k3_finseq_1(F))=k2_jordan18(C, k3_topreal1(2, k1_jordan9(B, A))) &  (r1_xxreal_0(2, k3_finseq_1(F)) &  (? [G] :  ( (v4_topreal1(G) & m2_finseq_1(G, u1_struct_0(k15_euclid(2))))  &  (r1_goboard1(u1_struct_0(k15_euclid(2)), G, k2_goboard2(k7_finseq_6(u1_struct_0(k15_euclid(2)), E, k2_finseq_4(u1_struct_0(k15_euclid(2)), k1_jordan18(C, k3_topreal1(2, k1_jordan9(B, A))), k2_jordan18(C, k3_topreal1(2, k1_jordan9(B, A))))))) &  (k3_topreal1(2, E)=k3_topreal1(2, G) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), E, 1)=k7_partfun1(u1_struct_0(k15_euclid(2)), G, 1) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), E, k3_finseq_1(E))=k7_partfun1(u1_struct_0(k15_euclid(2)), G, k3_finseq_1(G)) &  (r1_xxreal_0(k3_finseq_1(E), k3_finseq_1(G)) &  (? [H] :  ( ( ~ (v1_xboole_0(H))  &  ( ~ (v3_funct_1(H))  &  (v1_finseq_6(H, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(H) &  (v2_topreal1(H) &  (v1_goboard5(H) &  (v2_goboard5(H) & m2_finseq_1(H, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  & H=k7_finseq_6(u1_struct_0(k15_euclid(2)), G, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_jordan24, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_pcomps_1(A)), u1_struct_0(k3_pcomps_1(A))))) &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(k3_pcomps_1(A))) &  (v5_relat_1(B, u1_struct_0(k3_pcomps_1(A))) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(k3_pcomps_1(A))) &  (v1_funct_2(B, u1_struct_0(k3_pcomps_1(A)), u1_struct_0(k3_pcomps_1(A))) &  (v2_funct_2(B, u1_struct_0(k3_pcomps_1(A))) & v1_jordan24(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_jordan24, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_pcomps_1(A)), u1_struct_0(k3_pcomps_1(A))))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k3_pcomps_1(A)), u1_struct_0(k3_pcomps_1(A))) & v1_jordan24(B, A)) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k3_pcomps_1(A)), u1_struct_0(k3_pcomps_1(A))) & v5_pre_topc(B, k3_pcomps_1(A), k3_pcomps_1(A))) ) ) ) ) ) ) ).
fof(cc2_jordan24, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_pcomps_1(A)), u1_struct_0(k3_pcomps_1(A))))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k3_pcomps_1(A)), u1_struct_0(k3_pcomps_1(A))) &  (v2_funct_2(B, u1_struct_0(k3_pcomps_1(A))) & v1_jordan24(B, A)) ) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k3_pcomps_1(A)), u1_struct_0(k3_pcomps_1(A))) & v3_tops_2(B, k3_pcomps_1(A), k3_pcomps_1(A))) ) ) ) ) ) ) ).
fof(d1_jordan24, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (r1_jordan24(A, B, C, D) <=>  (r2_tarski(C, B) &  (r2_tarski(D, B) &  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(A))) =>  ( (r2_tarski(E, B) & r2_tarski(F, B))  => r1_xxreal_0(k1_topreal6(A, E, F), k1_topreal6(A, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_jordan24, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) & r1_jordan24(2, A, B, C)) ) ) ) ) ) ).
fof(d2_jordan24, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k3_pcomps_1(A)), u1_struct_0(k3_pcomps_1(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_pcomps_1(A)), u1_struct_0(k3_pcomps_1(A)))))) )  =>  (v1_jordan24(B, A) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(A)) &  (v3_vectmetr(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  & r1_funct_2(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k3_pcomps_1(A)), u1_struct_0(k3_pcomps_1(A)), C, B)) ) ) ) ) ) ) ).
fof(d3_jordan24, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) )  =>  (B=k1_jordan24(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) => k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), B, C)=k19_euclid(k3_complex1(k2_complex2(k2_xcmplx_0(k17_euclid(C), k3_xcmplx_0(k18_euclid(C), k1_xcmplx_0)), A)), k4_complex1(k2_complex2(k2_xcmplx_0(k17_euclid(C), k3_xcmplx_0(k18_euclid(C), k1_xcmplx_0)), A)))) ) ) ) ) ) ) ).
fof(t2_jordan24, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k3_pcomps_1(k14_euclid(2))), u1_struct_0(k3_pcomps_1(k14_euclid(2)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_pcomps_1(k14_euclid(2))), u1_struct_0(k3_pcomps_1(k14_euclid(2))))))) )  =>  (r1_funct_2(u1_struct_0(k3_pcomps_1(k14_euclid(2))), u1_struct_0(k3_pcomps_1(k14_euclid(2))), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), B, k1_jordan24(A)) =>  (v2_funct_2(B, u1_struct_0(k3_pcomps_1(k14_euclid(2)))) & v1_jordan24(B, k14_euclid(2))) ) ) ) ) ) ).
fof(t3_jordan24, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (r1_jordan24(2, C, A, B) => r1_jordan24(2, k7_relset_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k2_jgraph_2(D, E, D, F), C), k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k2_jgraph_2(D, E, D, F), A), k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k2_jgraph_2(D, E, D, F), B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_jordan24, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [D] :  (v1_xreal_0(D) =>  (r1_jordan24(2, C, A, B) => r1_jordan24(2, k7_relset_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k1_jordan24(D), C), k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k1_jordan24(D), A), k3_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k1_jordan24(D), B))) ) ) ) ) ) ) ) ) ).
fof(t5_jordan24, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xreal_0(B) => k2_complex2(A, k4_xcmplx_0(B))=k2_complex2(A, k6_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B))) ) ) ) ).
fof(t6_jordan24, axiom,  (! [A] :  (v1_xreal_0(A) => r2_funct_2(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), k1_jordan24(k4_xcmplx_0(A)), k1_jordan24(k6_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), A)))) ) ).
fof(t7_jordan24, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (? [B] :  (m3_topgrp_1(B, k15_euclid(2)) & r1_jordan24(2, k7_relset_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), B, A), k19_euclid(k4_xcmplx_0(1), k5_numbers), k19_euclid(1, k5_numbers))) ) ) ) ).
fof(d4_jordan24, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (l1_pre_topc(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v2_jordan24(C, A, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (v4_pre_topc(D, A) => v4_pre_topc(k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), B)) ) ) ) ) ) ) ) ) ) ).
fof(t8_jordan24, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v5_pre_topc(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  ( (v2_funct_1(C) & v2_funct_2(C, u1_struct_0(B)))  =>  (v3_tops_2(C, A, B) <=> v2_jordan24(C, A, B)) ) ) ) ) ) ) ) ).
fof(t9_jordan24, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (k3_subset_1(A, B)=k1_xboole_0 <=> B=A) ) ) ) ).
fof(t10_jordan24, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v3_tops_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_connsp_1(D, A) => v2_connsp_1(k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), B)) ) ) ) ) ) ) ) ) ) ).
fof(t11_jordan24, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v3_tops_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_connsp_1(D, A) => v3_connsp_1(k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), B)) ) ) ) ) ) ) ) ) ) ).
fof(t12_jordan24, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_funct_1(k2_partfun1(u1_struct_0(A), u1_struct_0(B), C, D)) &  (v1_funct_2(k2_partfun1(u1_struct_0(A), u1_struct_0(B), C, D), u1_struct_0(k1_pre_topc(A, D)), u1_struct_0(k1_pre_topc(B, k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, D)))) & m1_subset_1(k2_partfun1(u1_struct_0(A), u1_struct_0(B), C, D), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(A, D)), u1_struct_0(k1_pre_topc(B, k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, D))))))) ) ) ) ) ) ) ) ) ) ).
fof(t13_jordan24, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v5_pre_topc(C, A, B) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k1_pre_topc(A, D)), u1_struct_0(k1_pre_topc(B, k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, D)))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(A, D)), u1_struct_0(k1_pre_topc(B, k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, D))))))) )  =>  (E=k2_partfun1(u1_struct_0(A), u1_struct_0(B), C, D) => v5_pre_topc(E, k1_pre_topc(A, D), k1_pre_topc(B, k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_jordan24, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v3_tops_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k1_pre_topc(A, D)), u1_struct_0(k1_pre_topc(B, k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, D)))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(A, D)), u1_struct_0(k1_pre_topc(B, k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, D))))))) )  =>  (E=k2_partfun1(u1_struct_0(A), u1_struct_0(B), C, D) => v3_tops_2(E, k1_pre_topc(A, D), k1_pre_topc(B, k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_jordan24, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v3_tops_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  (r3_connsp_1(A, E, D) => r3_connsp_1(B, k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, E), k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_jordan24, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m3_topgrp_1(B, k15_euclid(2)) =>  (v1_jordan1(A) => v1_jordan1(k7_relset_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)), B, A))) ) ) ) ) ).
fof(dt_k1_jordan24, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_funct_1(k1_jordan24(A)) &  (v1_funct_2(k1_jordan24(A), u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2))) & m1_subset_1(k1_jordan24(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), u1_struct_0(k15_euclid(2)))))) ) ) ) ).
fof(cc1_jordan2b, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) => v5_relat_1(B, k1_numbers)) ) ) ) ).
fof(t1_jordan2b, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v7_ordinal1(B) =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k15_euclid(B)), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(B)), u1_struct_0(k3_topmetr))))) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(B))) => k3_funct_2(u1_struct_0(k15_euclid(B)), u1_struct_0(k3_topmetr), C, D)=k7_partfun1(k1_numbers, D, A)) ) ) ) ) ) ) ) ).
fof(t2_jordan2b, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (r2_tarski(B, k2_finseq_1(A)) => k7_partfun1(k1_numbers, k4_struct_0(k15_euclid(A)), B)=k5_numbers) ) ) ) ) ).
fof(t3_jordan2b, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r2_tarski(D, k2_finseq_1(A)) => k7_partfun1(k1_numbers, k1_rlvect_1(k15_euclid(A), C, B), D)=k3_xcmplx_0(B, k7_partfun1(k1_numbers, C, D))) ) ) ) ) ) ) ) ) ).
fof(t4_jordan2b, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r2_tarski(C, k2_finseq_1(A)) => k7_partfun1(k1_numbers, k4_algstr_0(k15_euclid(A), B), C)=k1_real_1(k7_partfun1(k1_numbers, B, C))) ) ) ) ) ) ) ).
fof(t5_jordan2b, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r2_tarski(D, k2_finseq_1(A)) => k7_partfun1(k1_numbers, k3_rlvect_1(k15_euclid(A), B, C), D)=k3_real_1(k7_partfun1(k1_numbers, B, D), k7_partfun1(k1_numbers, C, D))) ) ) ) ) ) ) ) ) ).
fof(t6_jordan2b, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r2_tarski(D, k2_finseq_1(A)) => k7_partfun1(k1_numbers, k5_algstr_0(k15_euclid(A), B, C), D)=k5_real_1(k7_partfun1(k1_numbers, B, D), k7_partfun1(k1_numbers, C, D))) ) ) ) ) ) ) ) ) ).
fof(t7_jordan2b, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (r1_xxreal_0(B, A) => k17_finseq_1(k1_numbers, B, k5_euclid(A))=k5_euclid(B)) ) ) ) ) ).
fof(t8_jordan2b, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k2_rfinseq(k1_numbers, B, k5_euclid(A))=k5_euclid(k7_nat_d(A, B))) ) ) ) ).
fof(t9_jordan2b, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => k18_rvsum_1(k5_euclid(A))=k5_numbers) ) ).
fof(t10_jordan2b, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (v1_xreal_0(C) =>  (r2_tarski(B, k2_finseq_1(A)) => k16_rvsum_1(k1_funct_7(k5_euclid(A), B, C))=C) ) ) ) ) ) ) ).
fof(t11_jordan2b, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (r2_tarski(D, k2_finseq_1(A)) & B=C)  =>  (r1_xxreal_0(k7_partfun1(k1_numbers, C, D), k12_euclid(B)) & r1_xxreal_0(k1_square_1(k7_partfun1(k1_numbers, C, D)), k1_square_1(k12_euclid(B)))) ) ) ) ) ) ) ) ) ) ).
fof(t16_jordan2b, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k3_pcomps_1(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_pcomps_1(B)))))) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(B)))) =>  (F=k8_metric_1(B, E, D) =>  (r1_xxreal_0(D, k5_numbers) | v3_pre_topc(k8_relset_1(u1_struct_0(A), u1_struct_0(k3_pcomps_1(B)), C, F), A)) ) ) ) ) ) ) )  => v5_pre_topc(C, A, k3_pcomps_1(B))) ) ) ) ) ) ) ).
fof(t18_jordan2b, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k15_euclid(A)), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k3_topmetr))))) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (r2_tarski(C, k2_finseq_1(A)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) => k3_funct_2(u1_struct_0(k15_euclid(A)), u1_struct_0(k3_topmetr), B, D)=k7_partfun1(k1_numbers, D, C)) ) )  => v5_pre_topc(B, k15_euclid(A), k3_topmetr)) ) ) ) ) ) ) ).
fof(t19_jordan2b, axiom,  (! [A] :  (v1_xreal_0(A) => k3_euclid(k9_finseq_1(A))=k9_finseq_1(k9_complex1(A))) ) ).
fof(t20_jordan2b, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(1))) =>  (? [B] :  (v1_xreal_0(B) & A=k9_finseq_1(B)) ) ) ) ).
fof(t21_jordan2b, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_rlvect_1(k15_euclid(1), k1_jordan2b(A), B)=k1_jordan2b(k3_xcmplx_0(B, A))) ) ) ) ).
fof(t22_jordan2b, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_jordan2b(k2_xcmplx_0(A, B))=k3_rlvect_1(k15_euclid(1), k1_jordan2b(A), k1_jordan2b(B))) ) ) ) ).
fof(t23_jordan2b, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (k1_jordan2b(A)=k1_jordan2b(B) => A=B) ) ) ) ) ).
fof(t28_jordan2b, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k15_euclid(1)), u1_struct_0(k3_topmetr)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(1)), u1_struct_0(k3_topmetr))))) )  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(1))) => k3_funct_2(u1_struct_0(k15_euclid(1)), u1_struct_0(k3_topmetr), A, B)=k7_partfun1(k1_numbers, B, 1)) )  => v3_tops_2(A, k15_euclid(1), k3_topmetr)) ) ) ).
fof(t29_jordan2b, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (k7_partfun1(k1_numbers, A, 1)=k17_euclid(A) & k7_partfun1(k1_numbers, A, 2)=k18_euclid(A)) ) ) ).
fof(t30_jordan2b, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (k7_partfun1(k1_numbers, A, 1)=k3_funct_2(u1_struct_0(k15_euclid(2)), k1_numbers, k4_pscomp_1, A) & k7_partfun1(k1_numbers, A, 2)=k3_funct_2(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, A)) ) ) ).
fof(dt_k1_jordan2b, axiom,  (! [A] :  (v1_xreal_0(A) => m1_subset_1(k1_jordan2b(A), u1_struct_0(k15_euclid(1)))) ) ).
fof(redefinition_k1_jordan2b, axiom,  (! [A] :  (v1_xreal_0(A) => k1_jordan2b(A)=k5_finseq_1(A)) ) ).
fof(t12_jordan2b, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (C=a_3_0_jordan2b(A, B, D) & r2_tarski(D, k2_finseq_1(A)))  => v3_pre_topc(C, k15_euclid(A))) ) ) ) ) ) ) ) ) ).
fof(t13_jordan2b, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (C=a_3_1_jordan2b(A, B, D) & r2_tarski(D, k2_finseq_1(A)))  => v3_pre_topc(C, k15_euclid(A))) ) ) ) ) ) ) ) ) ).
fof(t14_jordan2b, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( (B=a_4_0_jordan2b(A, C, D, E) & r2_tarski(E, k2_finseq_1(A)))  => v3_pre_topc(B, k15_euclid(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_jordan2b, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k15_euclid(A)), u1_struct_0(k3_topmetr)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k3_topmetr))))) )  =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(A))) => k3_funct_2(u1_struct_0(k15_euclid(A)), u1_struct_0(k3_topmetr), D, F)=k7_partfun1(k1_numbers, F, E)) )  => k8_relset_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k3_topmetr), D, a_2_0_jordan2b(B, C))=a_4_0_jordan2b(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_jordan2b, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k7_metric_1)) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (C=A => k8_metric_1(k7_metric_1, A, B)=a_2_1_jordan2b(B, C)) ) ) ) ) ) ) ).
fof(t24_jordan2b, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (A=a_1_0_jordan2b(B) => v3_pre_topc(A, k3_topmetr)) ) ) ) ) ).
fof(t25_jordan2b, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (A=a_1_1_jordan2b(B) => v3_pre_topc(A, k3_topmetr)) ) ) ) ) ).
fof(t26_jordan2b, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (A=a_2_0_jordan2b(B, C) => v3_pre_topc(A, k3_topmetr)) ) ) ) ) ) ) ).
fof(t27_jordan2b, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k14_euclid(1))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (k9_finseq_1(C)=A => k8_metric_1(k14_euclid(1), A, B)=a_2_2_jordan2b(B, C)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_jordan2b, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(B, k4_ordinal1) &  (v1_xreal_0(C) & m1_subset_1(D, k4_ordinal1)) )  =>  (r2_hidden(A, a_3_0_jordan2b(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(B))) &  (A=E &  ~ (r1_xxreal_0(C, k7_partfun1(k1_numbers, E, D))) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_jordan2b, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(B, k4_ordinal1) &  (v1_xreal_0(C) & m1_subset_1(D, k4_ordinal1)) )  =>  (r2_hidden(A, a_3_1_jordan2b(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(B))) &  (A=E &  ~ (r1_xxreal_0(k7_partfun1(k1_numbers, E, D), C)) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_jordan2b, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(B, k4_ordinal1) &  (v1_xreal_0(C) &  (v1_xreal_0(D) & m1_subset_1(E, k4_ordinal1)) ) )  =>  (r2_hidden(A, a_4_0_jordan2b(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(B))) &  (A=F &  ( ~ (r1_xxreal_0(k7_partfun1(k1_numbers, F, E), C))  &  ~ (r1_xxreal_0(D, k7_partfun1(k1_numbers, F, E))) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_jordan2b, axiom,  (! [A, B, C] :  ( (v1_xreal_0(B) & v1_xreal_0(C))  =>  (r2_hidden(A, a_2_0_jordan2b(B, C)) <=>  (? [D] :  (v1_xreal_0(D) &  (A=D &  ( ~ (r1_xxreal_0(D, B))  &  ~ (r1_xxreal_0(C, D)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_jordan2b, axiom,  (! [A, B, C] :  ( (v1_xreal_0(B) & v1_xreal_0(C))  =>  (r2_hidden(A, a_2_1_jordan2b(B, C)) <=>  (? [D] :  (v1_xreal_0(D) &  (A=D &  ( ~ (r1_xxreal_0(D, k6_xcmplx_0(C, B)))  &  ~ (r1_xxreal_0(k2_xcmplx_0(C, B), D)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_jordan2b, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_0_jordan2b(B)) <=>  (? [C] :  (v1_xreal_0(C) &  (A=C &  ~ (r1_xxreal_0(B, C)) ) ) ) ) ) ) ).
fof(fraenkel_a_1_1_jordan2b, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_1_jordan2b(B)) <=>  (? [C] :  (v1_xreal_0(C) &  (A=C &  ~ (r1_xxreal_0(C, B)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_2_jordan2b, axiom,  (! [A, B, C] :  ( (v1_xreal_0(B) & v1_xreal_0(C))  =>  (r2_hidden(A, a_2_2_jordan2b(B, C)) <=>  (? [D] :  (v1_xreal_0(D) &  (A=k9_finseq_1(D) &  ( ~ (r1_xxreal_0(D, k6_xcmplx_0(C, B)))  &  ~ (r1_xxreal_0(k2_xcmplx_0(C, B), D)) ) ) ) ) ) ) ) ).
fof(fc1_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v5_rltopsp1(k15_euclid(A)) &  (v6_rltopsp1(k15_euclid(A)) & v7_rltopsp1(k15_euclid(A))) ) ) ) ).
fof(rc1_jordan2c, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v6_tbsp_1(B, A)) ) ) ) ).
fof(fc2_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) => v1_convex1(k2_struct_0(k15_euclid(A)), k15_euclid(A))) ) ).
fof(fc3_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) => v3_connsp_1(k2_struct_0(k15_euclid(A)), k15_euclid(A))) ) ).
fof(cc1_jordan2c, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (v2_compts_1(B, k15_euclid(A)) => v9_rltopsp1(B, k15_euclid(A))) ) ) ) ) ).
fof(fc4_jordan2c, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k15_euclid(2))) & m1_subset_1(B, u1_struct_0(k15_euclid(2))))  => v2_tops_1(k1_rltopsp1(k15_euclid(2), A, B), k15_euclid(2))) ) ).
fof(fc5_jordan2c, axiom,  (! [A] :  (m1_finseq_1(A, u1_struct_0(k15_euclid(2))) => v2_tops_1(k3_topreal1(2, A), k15_euclid(2))) ) ).
fof(fc6_jordan2c, axiom,  (! [A] :  ( (v4_pre_topc(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => v3_pre_topc(k1_jordan2c(2, A), k15_euclid(2))) ) ).
fof(fc7_jordan2c, axiom,  (! [A] :  ( (v4_pre_topc(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => v3_pre_topc(k2_jordan2c(2, A), k15_euclid(2))) ) ).
fof(fc8_jordan2c, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => v2_connsp_1(k2_jordan2c(2, A), k15_euclid(2))) ) ).
fof(fc9_jordan2c, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ (v1_xboole_0(k2_jordan2c(2, A))) ) ) ).
fof(t6_jordan2c, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v5_valued_0(C) & m2_finseq_1(C, k1_numbers))  =>  ( (k2_relset_1(k1_numbers, C)=k2_tarski(A, B) &  (k3_finseq_1(C)=2 & r1_xxreal_0(A, B)) )  =>  (k1_funct_1(C, 1)=A & k1_funct_1(C, 2)=B) ) ) ) ) ) ) ) ).
fof(t8_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) => k9_complex1(k12_euclid(B))=k12_euclid(B)) ) ) ) ).
fof(t9_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k12_euclid(B), k12_euclid(C))), k12_euclid(k5_algstr_0(k15_euclid(A), B, C)))) ) ) ) ) ) ).
fof(t10_jordan2c, axiom,  (! [A] :  (v1_xreal_0(A) => k12_euclid(k1_jordan2b(A))=k9_complex1(A)) ) ).
fof(t11_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (v9_rltopsp1(B, k15_euclid(A)) <=>  (v6_tbsp_1(B, k14_euclid(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k14_euclid(A))))) ) ) ) ) ) ).
fof(t12_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  ( (v9_rltopsp1(C, k15_euclid(A)) & r1_tarski(B, C))  => v9_rltopsp1(B, k15_euclid(A))) ) ) ) ) ) ) ).
fof(d2_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (r1_jordan2c(A, B, C) <=>  (r3_connsp_1(k15_euclid(A), k3_subset_1(u1_struct_0(k15_euclid(A)), B), C) & v9_rltopsp1(C, k15_euclid(A))) ) ) ) ) ) ) ) ).
fof(t13_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (r1_jordan2c(A, B, C) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A), k3_subset_1(u1_struct_0(k15_euclid(A)), B))))) &  (D=C &  (v3_connsp_1(D, k1_pre_topc(k15_euclid(A), k3_subset_1(u1_struct_0(k15_euclid(A)), B))) &  (v6_tbsp_1(D, k14_euclid(A)) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k14_euclid(A))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (r2_jordan2c(A, B, C) <=>  (r3_connsp_1(k15_euclid(A), k3_subset_1(u1_struct_0(k15_euclid(A)), B), C) &  ~ (v9_rltopsp1(C, k15_euclid(A))) ) ) ) ) ) ) ) ) ).
fof(t14_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (r2_jordan2c(A, B, C) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A), k3_subset_1(u1_struct_0(k15_euclid(A)), B))))) &  (D=C &  (v3_connsp_1(D, k1_pre_topc(k15_euclid(A), k3_subset_1(u1_struct_0(k15_euclid(A)), B))) &  ~ ( (v6_tbsp_1(D, k14_euclid(A)) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k14_euclid(A))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (r1_jordan2c(A, B, C) => r1_tarski(C, k3_subset_1(u1_struct_0(k15_euclid(A)), B))) ) ) ) ) ) ) ).
fof(t16_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (r2_jordan2c(A, B, C) => r1_tarski(C, k3_subset_1(u1_struct_0(k15_euclid(A)), B))) ) ) ) ) ) ) ).
fof(t20_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => m1_connsp_3(k1_jordan2c(A, B), k1_pre_topc(k15_euclid(A), k3_subset_1(u1_struct_0(k15_euclid(A)), B)))) ) ) ) ).
fof(t21_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => m1_connsp_3(k2_jordan2c(A, B), k1_pre_topc(k15_euclid(A), k3_subset_1(u1_struct_0(k15_euclid(A)), B)))) ) ) ) ).
fof(t22_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (r1_jordan2c(A, B, C) => r1_tarski(C, k1_jordan2c(A, B))) ) ) ) ) ) ) ).
fof(t23_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (r2_jordan2c(A, B, C) => r1_tarski(C, k2_jordan2c(A, B))) ) ) ) ) ) ) ).
fof(t24_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => r1_xboole_0(k1_jordan2c(A, B), k2_jordan2c(A, B))) ) ) ) ).
fof(t25_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => r1_tarski(k1_jordan2c(A, B), k3_subset_1(u1_struct_0(k15_euclid(A)), B))) ) ) ) ).
fof(t26_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => r1_tarski(k2_jordan2c(A, B), k3_subset_1(u1_struct_0(k15_euclid(A)), B))) ) ) ) ).
fof(t27_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => k4_subset_1(u1_struct_0(k15_euclid(A)), k1_jordan2c(A, B), k2_jordan2c(A, B))=k3_subset_1(u1_struct_0(k15_euclid(A)), B)) ) ) ) ).
fof(t28_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (B=k1_euclid(A) => v2_connsp_1(B, k15_euclid(A))) ) ) ) ) ).
fof(t33_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k14_euclid(A)))) =>  ~ ( (r1_xxreal_0(1, A) &  (B=k1_euclid(A) & v6_tbsp_1(B, k14_euclid(A))) ) ) ) ) ) ) ).
fof(t34_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (v9_rltopsp1(B, k15_euclid(A)) <=>  (? [C] :  (v1_xreal_0(C) &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  ~ ( (r2_tarski(D, B) & r1_xxreal_0(C, k12_euclid(D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( (r1_xxreal_0(1, A) & v9_rltopsp1(k2_struct_0(k15_euclid(A)), k15_euclid(A))) ) ) ) ).
fof(t36_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) => k2_jordan2c(A, k1_struct_0(k15_euclid(A)))=k1_euclid(A)) ) ) ).
fof(t37_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(A), E))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(A), E)))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(A), E))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(A), E)))))) )  =>  ~ ( (v5_pre_topc(F, k5_topmetr, k1_pre_topc(k15_euclid(A), E)) &  (B=k1_funct_1(F, k5_numbers) &  (C=k1_funct_1(F, 1) &  (v5_pre_topc(G, k5_topmetr, k1_pre_topc(k15_euclid(A), E)) &  (C=k1_funct_1(G, k5_numbers) &  (D=k1_funct_1(G, 1) &  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(A), E))) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(A), E)))))) )  =>  ~ ( (v5_pre_topc(H, k5_topmetr, k1_pre_topc(k15_euclid(A), E)) &  (B=k1_funct_1(H, k5_numbers) & D=k1_funct_1(H, 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  ~ ( (r2_tarski(C, B) &  (r2_tarski(D, B) &  (r2_tarski(E, B) &  (r1_tarski(k1_rltopsp1(k15_euclid(A), C, D), B) &  (r1_tarski(k1_rltopsp1(k15_euclid(A), D, E), B) &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(A), B))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(A), B)))))) )  =>  ~ ( (v5_pre_topc(F, k5_topmetr, k1_pre_topc(k15_euclid(A), B)) &  (C=k1_funct_1(F, k5_numbers) & E=k1_funct_1(F, 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(A))) =>  ~ ( (r2_tarski(C, B) &  (r2_tarski(D, B) &  (r2_tarski(E, B) &  (r2_tarski(F, B) &  (r1_tarski(k1_rltopsp1(k15_euclid(A), C, D), B) &  (r1_tarski(k1_rltopsp1(k15_euclid(A), D, E), B) &  (r1_tarski(k1_rltopsp1(k15_euclid(A), E, F), B) &  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(A), B))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(A), B)))))) )  =>  ~ ( (v5_pre_topc(G, k5_topmetr, k1_pre_topc(k15_euclid(A), B)) &  (C=k1_funct_1(G, k5_numbers) & F=k1_funct_1(G, 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(A))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(A))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k15_euclid(A))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k15_euclid(A))) =>  ~ ( (r2_tarski(C, B) &  (r2_tarski(D, B) &  (r2_tarski(E, B) &  (r2_tarski(F, B) &  (r2_tarski(G, B) &  (r2_tarski(H, B) &  (r2_tarski(I, B) &  (r1_tarski(k1_rltopsp1(k15_euclid(A), C, D), B) &  (r1_tarski(k1_rltopsp1(k15_euclid(A), D, E), B) &  (r1_tarski(k1_rltopsp1(k15_euclid(A), E, F), B) &  (r1_tarski(k1_rltopsp1(k15_euclid(A), F, G), B) &  (r1_tarski(k1_rltopsp1(k15_euclid(A), G, H), B) &  (r1_tarski(k1_rltopsp1(k15_euclid(A), H, I), B) &  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(A), B))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(A), B)))))) )  =>  ~ ( (v5_pre_topc(J, k5_topmetr, k1_pre_topc(k15_euclid(A), B)) &  (C=k1_funct_1(J, k5_numbers) & I=k1_funct_1(J, 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(k14_euclid(A))))) =>  ~ ( (D=k1_rltopsp1(k15_euclid(A), B, C) &  ( ~ (r2_tarski(k4_struct_0(k15_euclid(A)), k1_rltopsp1(k15_euclid(A), B, C)))  &  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  ~ ( (r2_tarski(E, k1_rltopsp1(k15_euclid(A), B, C)) &  ( ~ (r1_xxreal_0(k12_euclid(E), k5_numbers))  & k12_euclid(E)=k1_funct_1(k6_weierstr(k14_euclid(A), D), k4_struct_0(k15_euclid(A)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_jordan2c, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (m2_finseq_2(A, k1_numbers, k1_euclid(k3_finseq_1(A))) & m1_subset_1(A, u1_struct_0(k15_euclid(k3_finseq_1(A))))) ) ) ).
fof(t45_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  (! [E] :  (v1_xreal_0(E) =>  ( (C=B & D=k9_euclid(A, B, E))  =>  (k3_finseq_1(C)=k3_finseq_1(D) &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  ( (r1_xxreal_0(1, F) & r1_xxreal_0(F, k3_finseq_1(C)))  => k7_partfun1(k1_numbers, D, F)=k3_xcmplx_0(E, k7_partfun1(k1_numbers, C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ~ ( ( ~ (B=k5_euclid(A))  &  (B=C &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ~ ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, A) &  ~ (k1_funct_1(C, D)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  ~ ( (r1_xxreal_0(2, A) &  ( ~ (B=k5_euclid(A))  &  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  ~ ( (! [D] :  (v1_xreal_0(D) =>  ( ~ (C=k9_euclid(A, B, D))  &  ~ (B=k9_euclid(A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k14_euclid(A)))) =>  ( (B=E &  (v2_connsp_1(B, k15_euclid(A)) &  (C=k1_connsp_3(k1_pre_topc(k15_euclid(A), k3_subset_1(u1_struct_0(k15_euclid(A)), D)), k4_connsp_3(k15_euclid(A), B, k3_subset_1(u1_struct_0(k15_euclid(A)), D))) & r1_xboole_0(E, D)) ) )  =>  (v6_tbsp_1(E, k14_euclid(A)) | r2_jordan2c(A, D, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k14_euclid(A)))) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k14_euclid(A)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k1_topmetr(k14_euclid(A), C)))) =>  ( (B=D & v6_tbsp_1(D, k1_topmetr(k14_euclid(A), C)))  => v6_tbsp_1(B, k14_euclid(A))) ) ) ) ) ) ) ) ) ).
fof(t65_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (v2_compts_1(B, k15_euclid(A)) => v9_rltopsp1(B, k15_euclid(A))) ) ) ) ) ).
fof(t66_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  ~ ( (r1_xxreal_0(1, A) &  (v9_rltopsp1(B, k15_euclid(A)) & k3_subset_1(u1_struct_0(k15_euclid(A)), B)=k1_xboole_0) ) ) ) ) ) ) ).
fof(t68_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  ( (r1_xxreal_0(2, A) & v9_rltopsp1(B, k15_euclid(A)))  => r2_jordan2c(A, B, k2_jordan2c(A, B))) ) ) ) ) ).
fof(t70_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k14_euclid(A))) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (D=k8_metric_1(k14_euclid(A), B, C) => v1_convex1(D, k15_euclid(A))) ) ) ) ) ) ) ) ) ).
fof(t72_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k14_euclid(A))) =>  ~ ( ( ~ (C=D)  &  (r2_tarski(C, k8_metric_1(k14_euclid(A), E, B)) &  (r2_tarski(D, k8_metric_1(k14_euclid(A), E, B)) &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(A))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(A)))))) )  =>  ~ ( (v5_pre_topc(F, k5_topmetr, k15_euclid(A)) &  (k1_funct_1(F, k5_numbers)=C &  (k1_funct_1(F, 1)=D & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(A)), F), k8_metric_1(k14_euclid(A), E, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t73_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k14_euclid(A))) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(A))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(A)))))) )  =>  ~ ( (v5_pre_topc(G, k5_topmetr, k15_euclid(A)) &  (k1_funct_1(G, k5_numbers)=D &  (k1_funct_1(G, 1)=E &  (r2_tarski(C, k8_metric_1(k14_euclid(A), F, B)) &  (r2_tarski(E, k8_metric_1(k14_euclid(A), F, B)) &  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(A))) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(A)))))) )  =>  ~ ( (v5_pre_topc(H, k5_topmetr, k15_euclid(A)) &  (k1_funct_1(H, k5_numbers)=D &  (k1_funct_1(H, 1)=C & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(A)), H), k2_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(A)), G), k8_metric_1(k14_euclid(A), F, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t74_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k14_euclid(A))) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(A))) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(A)))))) )  =>  ~ ( (v5_pre_topc(H, k5_topmetr, k15_euclid(A)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(A)), H), G) &  (k1_funct_1(H, k5_numbers)=D &  (k1_funct_1(H, 1)=E &  (r2_tarski(C, k8_metric_1(k14_euclid(A), F, B)) &  (r2_tarski(E, k8_metric_1(k14_euclid(A), F, B)) &  (r1_tarski(k8_metric_1(k14_euclid(A), F, B), G) &  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(A))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(A)))))) )  =>  ~ ( (v5_pre_topc(I, k5_topmetr, k15_euclid(A)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(A)), I), G) &  (k1_funct_1(I, k5_numbers)=D & k1_funct_1(I, 1)=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t79_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  ~ ( (v2_connsp_1(B, k15_euclid(A)) &  (v3_pre_topc(B, k15_euclid(A)) &  (r2_tarski(C, B) &  (r2_tarski(D, B) &  ( ~ (C=D)  &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(A))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(A)))))) )  =>  ~ ( (v5_pre_topc(E, k5_topmetr, k15_euclid(A)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(A)), E), B) &  (k1_funct_1(E, k5_numbers)=C & k1_funct_1(E, 1)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t81_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (v3_pre_topc(B, k15_euclid(A)) => v1_connsp_2(k1_pre_topc(k15_euclid(A), B))) ) ) ) ) ).
fof(t83_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k15_euclid(A)), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k3_topmetr))))) )  =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) => k3_funct_2(u1_struct_0(k15_euclid(A)), u1_struct_0(k3_topmetr), B, C)=k12_euclid(C)) )  => v5_pre_topc(B, k15_euclid(A), k3_topmetr)) ) ) ) ) ).
fof(t84_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k15_euclid(A)), u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k3_topmetr))))) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) => k3_funct_2(u1_struct_0(k15_euclid(A)), u1_struct_0(k3_topmetr), B, C)=k12_euclid(C)) )  & v5_pre_topc(B, k15_euclid(A), k3_topmetr)) ) ) ) ) ).
fof(t85_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(A)))))) )  =>  ~ ( (v5_pre_topc(B, k5_topmetr, k15_euclid(A)) &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k5_topmetr), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k3_topmetr))))) )  =>  ~ ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(k5_topmetr)) => k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k3_topmetr), C, D)=k12_euclid(k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(A)), B, D))) )  & v5_pre_topc(C, k5_topmetr, k3_topmetr)) ) ) ) ) ) ) ) ) ) ).
fof(t86_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(A)))))) )  =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( (v5_pre_topc(B, k5_topmetr, k15_euclid(A)) &  (r1_xxreal_0(k12_euclid(k10_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(A)), B, k5_numbers)), C) &  (r1_xxreal_0(C, k12_euclid(k10_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(A)), B, 1))) &  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_topmetr)) =>  ~ (k12_euclid(k10_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(A)), B, D))=C) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t87_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (C=k9_finseq_1(B) => k12_euclid(C)=k9_complex1(B)) ) ) ) ) ) ) ).
fof(t89_jordan2c, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (k3_finseq_1(k2_goboard2(k1_sprect_1(A)))=2 &  (k1_matrix_0(k2_goboard2(k1_sprect_1(A)))=2 &  (k7_partfun1(u1_struct_0(k15_euclid(2)), k1_sprect_1(A), 1)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(k1_sprect_1(A)), 1, 2) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), k1_sprect_1(A), 2)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(k1_sprect_1(A)), 2, 2) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), k1_sprect_1(A), 3)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(k1_sprect_1(A)), 2, 1) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), k1_sprect_1(A), 4)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(k1_sprect_1(A)), 1, 1) & k7_partfun1(u1_struct_0(k15_euclid(2)), k1_sprect_1(A), 5)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(k1_sprect_1(A)), 1, 2)) ) ) ) ) ) ) ) ).
fof(t90_jordan2c, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  ~ (v9_rltopsp1(k2_goboard9(k1_sprect_1(A)), k15_euclid(2))) ) ) ).
fof(t91_jordan2c, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  => r1_tarski(k2_goboard9(k1_sprect_1(A)), k2_jordan2c(2, k3_topreal1(2, k1_sprect_1(A))))) ) ).
fof(t92_jordan2c, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v3_connsp_1(B, A) &  (v3_connsp_1(C, A) & v2_connsp_1(D, A)) )  =>  (r1_xboole_0(B, D) |  (r1_xboole_0(C, D) | B=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t93_jordan2c, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (r3_connsp_1(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, k1_sprect_1(A))), B) =>  (v9_rltopsp1(B, k15_euclid(2)) | B=k2_goboard9(k1_sprect_1(A))) ) ) ) ) ) ).
fof(t94_jordan2c, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (r1_tarski(k3_goboard9(k1_sprect_1(A)), k1_jordan2c(2, k3_topreal1(2, k1_sprect_1(A)))) & v9_rltopsp1(k3_goboard9(k1_sprect_1(A)), k15_euclid(2))) ) ) ).
fof(t95_jordan2c, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (k2_goboard9(k1_sprect_1(A))=k2_jordan2c(2, k3_topreal1(2, k1_sprect_1(A))) & k3_goboard9(k1_sprect_1(A))=k1_jordan2c(2, k3_topreal1(2, k1_sprect_1(A)))) ) ) ).
fof(t96_jordan2c, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  ( ~ (k2_jordan2c(2, k3_topreal1(2, k1_sprect_1(A)))=k1_xboole_0)  &  (r2_jordan2c(2, k3_topreal1(2, k1_sprect_1(A)), k2_jordan2c(2, k3_topreal1(2, k1_sprect_1(A)))) &  ( ~ (k1_jordan2c(2, k3_topreal1(2, k1_sprect_1(A)))=k1_xboole_0)  & r1_jordan2c(2, k3_topreal1(2, k1_sprect_1(A)), k1_jordan2c(2, k3_topreal1(2, k1_sprect_1(A))))) ) ) ) ) ).
fof(t97_jordan2c, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ~ (k3_subset_1(u1_struct_0(A), B)=k1_xboole_0)  =>  (v2_tops_1(B, A) <=>  (! [C] :  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_tarski(C, B) &  (r2_tarski(C, D) &  (v3_pre_topc(D, A) &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r3_connsp_1(A, k3_subset_1(u1_struct_0(A), B), E) &  ~ (r1_xboole_0(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t98_jordan2c, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( ~ (k3_subset_1(u1_struct_0(k15_euclid(2)), A)=k1_xboole_0)  =>  ( (v2_tops_1(A, k15_euclid(2)) & v1_jordan1(A))  <=>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  (k3_subset_1(u1_struct_0(k15_euclid(2)), A)=k4_subset_1(u1_struct_0(k15_euclid(2)), B, C) &  (r1_xboole_0(B, C) &  (k7_subset_1(u1_struct_0(k15_euclid(2)), k2_pre_topc(k15_euclid(2), B), B)=k7_subset_1(u1_struct_0(k15_euclid(2)), k2_pre_topc(k15_euclid(2), C), C) &  (A=k7_subset_1(u1_struct_0(k15_euclid(2)), k2_pre_topc(k15_euclid(2), B), B) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), A))))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), A))))) =>  ( (D=B & E=C)  =>  (v3_connsp_1(D, k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), A))) & v3_connsp_1(E, k1_pre_topc(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), A)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t99_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  ( (r1_xxreal_0(1, A) & C=k6_domain_1(u1_struct_0(k15_euclid(A)), B))  => v2_tops_1(C, k15_euclid(A))) ) ) ) ) ) ) ).
fof(t100_jordan2c, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v1_xreal_0(C) =>  ( (k17_euclid(A)=k18_euclid(B) &  (k4_xcmplx_0(k18_euclid(A))=k17_euclid(B) & A=k1_rlvect_1(k15_euclid(2), B, C)) )  =>  (k17_euclid(A)=k5_numbers &  (k18_euclid(A)=k5_numbers & A=k4_struct_0(k15_euclid(2))) ) ) ) ) ) ) ) ) ).
fof(t101_jordan2c, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => v2_tops_1(k1_rltopsp1(k15_euclid(2), A, B), k15_euclid(2))) ) ) ) ).
fof(t102_jordan2c, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) => v2_tops_1(k3_topreal1(2, A), k15_euclid(2))) ) ).
fof(t103_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  ( (D=C & r2_tarski(E, k8_metric_1(k14_euclid(A), C, B)))  =>  ( ~ (r1_xxreal_0(B, k12_euclid(k5_algstr_0(k15_euclid(A), D, E))))  &  ~ (r1_xxreal_0(B, k12_euclid(k5_algstr_0(k15_euclid(A), E, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t104_jordan2c, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  (r2_tarski(C, k3_topreal1(2, k1_sprect_1(A))) &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(D, k2_jordan2c(2, k3_topreal1(2, k1_sprect_1(A)))) &  ~ (r1_xxreal_0(B, k12_euclid(k5_algstr_0(k15_euclid(2), C, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t105_jordan2c, axiom, k1_euclid(k5_numbers)=k1_seq_4(k4_struct_0(k15_euclid(k5_numbers)))).
fof(t106_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (v9_rltopsp1(B, k15_euclid(A)) => v9_rltopsp1(k1_jordan2c(A, B), k15_euclid(A))) ) ) ) ) ).
fof(t107_jordan2c, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v3_connsp_1(C, A) &  (v3_connsp_1(D, A) &  (k4_subset_1(u1_struct_0(A), B, C)=u1_struct_0(A) & r1_xboole_0(D, B)) ) )  => D=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t108_jordan2c, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (v9_rltopsp1(A, k15_euclid(2)) & v1_jordan1(A))  => r1_jordan2c(2, A, k1_jordan2c(2, A))) ) ) ).
fof(t109_jordan2c, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  (r2_tarski(C, k3_topreal1(2, k1_sprect_1(A))) &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(D, k1_jordan2c(2, k3_topreal1(2, k1_sprect_1(A)))) &  ~ (r1_xxreal_0(B, k12_euclid(k5_algstr_0(k15_euclid(2), C, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t110_jordan2c, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1)=k20_pscomp_1(k3_topreal1(2, A)) =>  (r1_xxreal_0(k6_pscomp_1(k3_topreal1(2, A)), k17_euclid(B)) | r2_tarski(B, k2_goboard9(A))) ) ) ) ) ) ).
fof(t111_jordan2c, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1)=k20_pscomp_1(k3_topreal1(2, A)) =>  (r1_xxreal_0(k17_euclid(B), k8_pscomp_1(k3_topreal1(2, A))) | r2_tarski(B, k2_goboard9(A))) ) ) ) ) ) ).
fof(t112_jordan2c, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1)=k20_pscomp_1(k3_topreal1(2, A)) =>  (r1_xxreal_0(k9_pscomp_1(k3_topreal1(2, A)), k18_euclid(B)) | r2_tarski(B, k2_goboard9(A))) ) ) ) ) ) ).
fof(t113_jordan2c, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1)=k20_pscomp_1(k3_topreal1(2, A)) =>  (r1_xxreal_0(k18_euclid(B), k7_pscomp_1(k3_topreal1(2, A))) | r2_tarski(B, k2_goboard9(A))) ) ) ) ) ) ).
fof(t114_jordan2c, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r3_connsp_1(A, B, C) => v2_connsp_1(C, A)) ) ) ) ) ) ) ).
fof(t115_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (r1_jordan2c(A, B, C) => v2_connsp_1(C, k15_euclid(A))) ) ) ) ) ) ) ).
fof(t116_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (r2_jordan2c(A, B, C) => v2_connsp_1(C, k15_euclid(A))) ) ) ) ) ) ) ).
fof(t117_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (r3_connsp_1(k15_euclid(A), k3_subset_1(u1_struct_0(k15_euclid(A)), B), C) => r1_xboole_0(B, C)) ) ) ) ) ) ) ).
fof(t118_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  ( (r2_jordan2c(A, D, C) & r1_jordan2c(A, D, B))  => r1_xboole_0(C, B)) ) ) ) ) ) ) ) ) ).
fof(t119_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(2, A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  ( (v9_rltopsp1(D, k15_euclid(A)) &  (r2_jordan2c(A, D, B) & r2_jordan2c(A, D, C)) )  => B=C) ) ) ) ) ) ) ) ) ) ).
fof(t120_jordan2c, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  ~ (v9_rltopsp1(k7_topreal1(A), k15_euclid(2))) ) ) ).
fof(t121_jordan2c, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  ~ (v9_rltopsp1(k5_topreal1(A), k15_euclid(2))) ) ) ).
fof(t122_jordan2c, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  ~ (v9_rltopsp1(k4_topreal1(A), k15_euclid(2))) ) ) ).
fof(t123_jordan2c, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  ~ (v9_rltopsp1(k6_topreal1(A), k15_euclid(2))) ) ) ).
fof(t124_jordan2c, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => r3_connsp_1(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), A), k2_jordan2c(2, A))) ) ).
fof(t125_jordan2c, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (r1_xboole_0(B, A) =>  (v9_rltopsp1(B, k15_euclid(2)) | r1_tarski(B, k2_jordan2c(2, A))) ) ) ) ) ) ).
fof(t126_jordan2c, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r1_xboole_0(k7_topreal1(B), A) => r1_tarski(k7_topreal1(B), k2_jordan2c(2, A))) ) ) ) ) ).
fof(t127_jordan2c, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r1_xboole_0(k5_topreal1(B), A) => r1_tarski(k5_topreal1(B), k2_jordan2c(2, A))) ) ) ) ) ).
fof(t128_jordan2c, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r1_xboole_0(k6_topreal1(B), A) => r1_tarski(k6_topreal1(B), k2_jordan2c(2, A))) ) ) ) ) ).
fof(t129_jordan2c, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r1_xboole_0(k4_topreal1(B), A) => r1_tarski(k4_topreal1(B), k2_jordan2c(2, A))) ) ) ) ) ).
fof(t130_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k14_euclid(A))) =>  (C=k5_euclid(A) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(A))) =>  ( (F=D & k1_rlvect_1(k15_euclid(A), F, B)=E)  => k3_xcmplx_0(B, k3_metric_1(k14_euclid(A), C, D))=k3_metric_1(k14_euclid(A), C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t131_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_euclid(A))) =>  (D=k5_euclid(A) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (E=k8_metric_1(k14_euclid(A), D, C) => k1_convex1(k15_euclid(A), E, B)=k8_metric_1(k14_euclid(A), D, k3_xcmplx_0(B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t132_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (r1_xxreal_0(C, D) =>  (r1_xxreal_0(C, k5_numbers) |  (! [E] :  (m1_subset_1(E, u1_struct_0(k14_euclid(A))) =>  (E=k5_euclid(A) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (F=k8_metric_1(k14_euclid(A), E, B) => r1_tarski(k1_convex1(k15_euclid(A), F, C), k1_convex1(k15_euclid(A), F, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_jordan2c, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  => m1_subset_1(k1_jordan2c(A, B), k1_zfmisc_1(u1_struct_0(k15_euclid(A))))) ) ).
fof(dt_k2_jordan2c, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  => m1_subset_1(k2_jordan2c(A, B), k1_zfmisc_1(u1_struct_0(k15_euclid(A))))) ) ).
fof(d4_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => k1_jordan2c(A, B)=k3_tarski(a_2_0_jordan2c(A, B))) ) ) ) ).
fof(d5_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => k2_jordan2c(A, B)=k3_tarski(a_2_1_jordan2c(A, B))) ) ) ) ).
fof(t42_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  ~ ( (C=a_2_2_jordan2c(A, B) &  (r2_tarski(D, C) &  (r2_tarski(E, C) &  ( (! [F] :  (v1_xreal_0(F) =>  ( ~ (D=k1_rlvect_1(k15_euclid(A), E, F))  &  ~ (E=k1_rlvect_1(k15_euclid(A), D, F)) ) ) )  &  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(A))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(A))) =>  ~ ( (r2_tarski(F, C) &  (r2_tarski(G, C) &  (r1_tarski(k1_rltopsp1(k15_euclid(A), D, F), C) &  (r1_tarski(k1_rltopsp1(k15_euclid(A), F, G), C) & r1_tarski(k1_rltopsp1(k15_euclid(A), G, E), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  ~ ( (C=k6_subset_1(k1_euclid(A), a_2_3_jordan2c(A, B)) &  (r2_tarski(D, C) &  (r2_tarski(E, C) &  ( (! [F] :  (v1_xreal_0(F) =>  ( ~ (D=k1_rlvect_1(k15_euclid(A), E, F))  &  ~ (E=k1_rlvect_1(k15_euclid(A), D, F)) ) ) )  &  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(A))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(A))) =>  ~ ( (r2_tarski(F, C) &  (r2_tarski(G, C) &  (r1_tarski(k1_rltopsp1(k15_euclid(A), D, F), C) &  (r1_tarski(k1_rltopsp1(k15_euclid(A), F, G), C) & r1_tarski(k1_rltopsp1(k15_euclid(A), G, E), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  ~ ( (r1_xxreal_0(2, A) &  (C=a_2_2_jordan2c(A, B) &  (r2_tarski(D, C) &  (r2_tarski(E, C) &  ( ~ ( (! [F] :  (v1_xreal_0(F) =>  ( ~ (D=k1_rlvect_1(k15_euclid(A), E, F))  &  ~ (E=k1_rlvect_1(k15_euclid(A), D, F)) ) ) ) )  &  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(A))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(A))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k15_euclid(A))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k15_euclid(A))) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(k15_euclid(A))) =>  ~ ( (r2_tarski(F, C) &  (r2_tarski(G, C) &  (r2_tarski(H, C) &  (r2_tarski(I, C) &  (r2_tarski(J, C) &  (r1_tarski(k1_rltopsp1(k15_euclid(A), D, F), C) &  (r1_tarski(k1_rltopsp1(k15_euclid(A), F, G), C) &  (r1_tarski(k1_rltopsp1(k15_euclid(A), G, H), C) &  (r1_tarski(k1_rltopsp1(k15_euclid(A), H, I), C) &  (r1_tarski(k1_rltopsp1(k15_euclid(A), I, J), C) & r1_tarski(k1_rltopsp1(k15_euclid(A), J, E), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  ~ ( (r1_xxreal_0(2, A) &  (C=k6_subset_1(k1_euclid(A), a_2_3_jordan2c(A, B)) &  (r2_tarski(D, C) &  (r2_tarski(E, C) &  ( ~ ( (! [F] :  (v1_xreal_0(F) =>  ( ~ (D=k1_rlvect_1(k15_euclid(A), E, F))  &  ~ (E=k1_rlvect_1(k15_euclid(A), D, F)) ) ) ) )  &  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(A))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(A))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k15_euclid(A))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k15_euclid(A))) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(k15_euclid(A))) =>  ~ ( (r2_tarski(F, C) &  (r2_tarski(G, C) &  (r2_tarski(H, C) &  (r2_tarski(I, C) &  (r2_tarski(J, C) &  (r1_tarski(k1_rltopsp1(k15_euclid(A), D, F), C) &  (r1_tarski(k1_rltopsp1(k15_euclid(A), F, G), C) &  (r1_tarski(k1_rltopsp1(k15_euclid(A), G, H), C) &  (r1_tarski(k1_rltopsp1(k15_euclid(A), H, I), C) &  (r1_tarski(k1_rltopsp1(k15_euclid(A), I, J), C) & r1_tarski(k1_rltopsp1(k15_euclid(A), J, E), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(1, A) & a_2_2_jordan2c(A, B)=k1_xboole_0) ) ) ) ) ) ).
fof(t51_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  ( (r1_xxreal_0(2, A) & C=a_2_2_jordan2c(A, B))  => v2_connsp_1(C, k15_euclid(A))) ) ) ) ) ) ) ).
fof(t52_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(1, A) & k6_subset_1(k1_euclid(A), a_2_3_jordan2c(A, B))=k1_xboole_0) ) ) ) ) ) ).
fof(t53_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  ( (r1_xxreal_0(2, A) & C=k6_subset_1(k1_euclid(A), a_2_3_jordan2c(A, B)))  => v2_connsp_1(C, k15_euclid(A))) ) ) ) ) ) ) ).
fof(t54_jordan2c, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) =>  ~ ( (r1_xxreal_0(1, B) &  (C=k6_subset_1(k1_euclid(B), a_2_4_jordan2c(A, B)) & v9_rltopsp1(C, k15_euclid(B))) ) ) ) ) ) ) ) ) ).
fof(t55_jordan2c, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(1)))) =>  (B=a_1_0_jordan2c(A) => v1_convex1(B, k15_euclid(1))) ) ) ) ) ).
fof(t56_jordan2c, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(1)))) =>  (B=a_1_1_jordan2c(A) => v1_convex1(B, k15_euclid(1))) ) ) ) ) ).
fof(t59_jordan2c, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k14_euclid(1)))) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (A=a_1_0_jordan2c(B) & v6_tbsp_1(A, k14_euclid(1))) ) ) ) ) ) ).
fof(t60_jordan2c, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k14_euclid(1)))) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (A=a_1_1_jordan2c(B) & v6_tbsp_1(A, k14_euclid(1))) ) ) ) ) ) ).
fof(t61_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k14_euclid(A)))) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( (r1_xxreal_0(2, A) &  (B=a_2_2_jordan2c(A, C) & v6_tbsp_1(B, k14_euclid(A))) ) ) ) ) ) ) ) ) ).
fof(t62_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k14_euclid(A)))) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( (r1_xxreal_0(2, A) &  (B=k6_subset_1(k1_euclid(A), a_2_3_jordan2c(A, C)) & v6_tbsp_1(B, k14_euclid(A))) ) ) ) ) ) ) ) ) ).
fof(t67_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k14_euclid(A)))) & C=a_2_3_jordan2c(A, B)) )  &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k14_euclid(A)))) =>  (C=a_2_3_jordan2c(A, B) => v6_tbsp_1(C, k14_euclid(A))) ) ) ) ) ) ) ) ).
fof(t69_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (C=a_2_3_jordan2c(A, B) => v1_convex1(C, k15_euclid(A))) ) ) ) ) ) ) ).
fof(t75_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  ( (v2_connsp_1(B, k15_euclid(A)) &  (v3_pre_topc(B, k15_euclid(A)) & D=a_3_0_jordan2c(A, B, C)) )  => v3_pre_topc(D, k15_euclid(A))) ) ) ) ) ) ) ) ) ).
fof(t76_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  ( (v2_connsp_1(C, k15_euclid(A)) &  (v3_pre_topc(C, k15_euclid(A)) &  (r2_tarski(B, C) & D=a_3_1_jordan2c(A, B, C)) ) )  => v3_pre_topc(D, k15_euclid(A))) ) ) ) ) ) ) ) ) ).
fof(t77_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  ( (r2_tarski(B, D) & C=a_3_1_jordan2c(A, B, D))  => r1_tarski(C, D)) ) ) ) ) ) ) ) ) ).
fof(t78_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  ( (v2_connsp_1(C, k15_euclid(A)) &  (v3_pre_topc(C, k15_euclid(A)) &  (r2_tarski(D, C) & B=a_3_2_jordan2c(A, C, D)) ) )  => r1_tarski(C, B)) ) ) ) ) ) ) ) ) ).
fof(t80_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (v1_xreal_0(C) =>  (B=a_2_5_jordan2c(A, C) =>  (v3_pre_topc(k3_subset_1(u1_struct_0(k15_euclid(A)), B), k15_euclid(A)) & v4_pre_topc(B, k15_euclid(A))) ) ) ) ) ) ) ) ).
fof(t82_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [D] :  (v1_xreal_0(D) =>  ( (C=a_2_5_jordan2c(A, D) & k3_subset_1(u1_struct_0(k15_euclid(A)), C)=B)  => v1_connsp_2(k1_pre_topc(k15_euclid(A), B))) ) ) ) ) ) ) ) ) ).
fof(t88_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_xxreal_0(1, A) & B=a_2_5_jordan2c(A, C))  =>  (r1_xxreal_0(C, k5_numbers) | r1_jordan2c(A, B, k1_jordan2c(A, B))) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_jordan2c, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(B)))))  =>  (r2_hidden(A, a_2_0_jordan2c(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) &  (A=D & r1_jordan2c(B, C, D)) ) ) ) ) ) ).
fof(fraenkel_a_2_1_jordan2c, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(B)))))  =>  (r2_hidden(A, a_2_1_jordan2c(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) &  (A=D & r2_jordan2c(B, C, D)) ) ) ) ) ) ).
fof(fraenkel_a_2_2_jordan2c, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) & v1_xreal_0(C))  =>  (r2_hidden(A, a_2_2_jordan2c(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(B))) &  (A=D &  ~ (r1_xxreal_0(k12_euclid(D), C)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_3_jordan2c, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) & v1_xreal_0(C))  =>  (r2_hidden(A, a_2_3_jordan2c(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(B))) &  (A=D &  ~ (r1_xxreal_0(C, k12_euclid(D))) ) ) ) ) ) ) ).
fof(fraenkel_a_2_4_jordan2c, axiom,  (! [A, B, C] :  ( (v1_xreal_0(B) & v7_ordinal1(C))  =>  (r2_hidden(A, a_2_4_jordan2c(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(C))) &  (A=D &  ~ (r1_xxreal_0(B, k12_euclid(D))) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_jordan2c, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_0_jordan2c(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(1))) &  (A=C &  (? [D] :  (v1_xreal_0(D) &  (C=k9_finseq_1(D) &  ~ (r1_xxreal_0(D, B)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_1_jordan2c, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_1_jordan2c(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(1))) &  (A=C &  (? [D] :  (v1_xreal_0(D) &  (C=k9_finseq_1(D) &  ~ (r1_xxreal_0(k4_xcmplx_0(B), D)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_jordan2c, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(B) &  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & m1_subset_1(D, u1_struct_0(k15_euclid(B)))) )  =>  (r2_hidden(A, a_3_0_jordan2c(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(B))) &  (A=E &  ( ~ (E=D)  &  (r2_tarski(E, C) &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(B))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(B)))))) )  =>  ~ ( (v5_pre_topc(F, k5_topmetr, k15_euclid(B)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(B)), F), C) &  (k1_funct_1(F, k5_numbers)=D & k1_funct_1(F, 1)=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_jordan2c, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(B) &  (m1_subset_1(C, u1_struct_0(k15_euclid(B))) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(B))))) )  =>  (r2_hidden(A, a_3_1_jordan2c(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(B))) &  (A=E &  ~ ( ( ~ (E=C)  &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(B))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(B)))))) )  =>  ~ ( (v5_pre_topc(F, k5_topmetr, k15_euclid(B)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(B)), F), D) &  (k1_funct_1(F, k5_numbers)=C & k1_funct_1(F, 1)=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_2_jordan2c, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(B) &  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & m1_subset_1(D, u1_struct_0(k15_euclid(B)))) )  =>  (r2_hidden(A, a_3_2_jordan2c(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(B))) &  (A=E &  ~ ( ( ~ (E=D)  &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(B))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(B)))))) )  =>  ~ ( (v5_pre_topc(F, k5_topmetr, k15_euclid(B)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(B)), F), C) &  (k1_funct_1(F, k5_numbers)=D & k1_funct_1(F, 1)=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_5_jordan2c, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) & v1_xreal_0(C))  =>  (r2_hidden(A, a_2_5_jordan2c(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(B))) &  (A=D & k12_euclid(D)=C) ) ) ) ) ) ).
fof(t1_jordan3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(A))) =>  (r1_xxreal_0(2, k3_finseq_1(B)) =>  (r2_tarski(k1_funct_1(B, 1), k3_topreal1(A, B)) &  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(A)), B, 1), k3_topreal1(A, B)) &  (r2_tarski(k1_funct_1(B, k3_finseq_1(B)), k3_topreal1(A, B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(A)), B, k3_finseq_1(B)), k3_topreal1(A, B))) ) ) ) ) ) ) ) ).
fof(t2_jordan3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ ( ( (k17_euclid(A)=k17_euclid(B) | k18_euclid(A)=k18_euclid(B))  &  (r2_tarski(C, k1_rltopsp1(k15_euclid(2), A, B)) &  (r2_tarski(D, k1_rltopsp1(k15_euclid(2), A, B)) &  ( ~ (k17_euclid(C)=k17_euclid(D))  &  ~ (k18_euclid(C)=k18_euclid(D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_jordan3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ ( ( (k17_euclid(A)=k17_euclid(B) | k18_euclid(A)=k18_euclid(B))  &  (r1_tarski(k1_rltopsp1(k15_euclid(2), C, D), k1_rltopsp1(k15_euclid(2), A, B)) &  ( ~ (k17_euclid(C)=k17_euclid(D))  &  ~ (k18_euclid(C)=k18_euclid(D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ( (r1_xxreal_0(2, B) & v4_topreal1(A))  => v4_topreal1(k17_finseq_1(u1_struct_0(k15_euclid(2)), B, A))) ) ) ) ) ).
fof(t5_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ( (r1_xxreal_0(B, k3_finseq_1(A)) &  (r1_xxreal_0(2, k7_nat_d(k3_finseq_1(A), B)) & v4_topreal1(A)) )  => v4_topreal1(k2_rfinseq(u1_struct_0(k15_euclid(2)), B, A))) ) ) ) ) ).
fof(t6_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (v4_topreal1(A) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k3_finseq_1(A)) &  (r1_xxreal_0(1, C) & r1_xxreal_0(C, k3_finseq_1(A))) ) ) )  =>  (B=C | v4_topreal1(k3_finseq_6(u1_struct_0(k15_euclid(2)), A, B, C))) ) ) ) ) ) ) ) ).
fof(t7_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r2_tarski(B, k2_topreal1(2, A, C)) => r1_xxreal_0(k1_jordan3(A, B), C)) ) ) ) ) ) ) ).
fof(t8_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k3_topreal1(2, A)) =>  (r1_xxreal_0(1, k1_jordan3(A, B)) &  ~ (r1_xxreal_0(k3_finseq_1(A), k1_jordan3(A, B))) ) ) ) ) ) ) ).
fof(t9_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k3_topreal1(2, A)) => r2_tarski(B, k2_topreal1(2, A, k1_jordan3(A, B)))) ) ) ) ) ).
fof(t10_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k2_topreal1(2, A, 1)) => k1_jordan3(A, B)=1) ) ) ) ) ).
fof(t11_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r1_xxreal_0(2, k3_finseq_1(A)) => k1_jordan3(A, k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1))=1) ) ) ) ) ).
fof(t12_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v7_ordinal1(C) =>  ( (v4_topreal1(A) &  (r1_xxreal_0(C, k3_finseq_1(A)) & B=k1_funct_1(A, C)) )  =>  (r1_xxreal_0(C, 1) | k1_nat_1(k1_jordan3(A, B), 1)=C) ) ) ) ) ) ) ) ).
fof(t13_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ ( (v3_topreal1(A) &  (r2_tarski(B, k2_topreal1(2, A, C)) &  ( ~ (C=k1_jordan3(A, B))  &  ~ (C=k1_nat_1(k1_jordan3(A, B), 1)) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (v2_topreal1(A) &  (v3_topreal1(A) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(A)) & r2_tarski(B, k2_topreal1(2, A, C))) ) )  =>  (B=k1_funct_1(A, C) | C=k1_jordan3(A, B)) ) ) ) ) ) ) ) ).
fof(d2_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r1_jordan3(A, B, C) <=>  (v4_topreal1(A) &  (k1_funct_1(A, 1)=B & k1_funct_1(A, k3_finseq_1(A))=C) ) ) ) ) ) ) ) ) ).
fof(t15_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r1_jordan3(A, B, C) => r1_jordan3(k4_finseq_5(u1_struct_0(k15_euclid(2)), A), C, B)) ) ) ) ) ) ) ).
fof(t16_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(C, k3_topreal1(2, A)) &  (B=k8_finseq_1(u1_struct_0(k15_euclid(2)), k12_finseq_1(u1_struct_0(k15_euclid(2)), C), k3_finseq_6(u1_struct_0(k15_euclid(2)), A, k1_nat_1(k1_jordan3(A, C), 1), k3_finseq_1(A))) &  (r1_xxreal_0(1, D) & r1_xxreal_0(k1_nat_1(D, 1), k3_finseq_1(B))) ) )  => r1_tarski(k2_topreal1(2, B, D), k2_topreal1(2, A, k7_nat_d(k2_xcmplx_0(k1_jordan3(A, C), D), 1)))) ) ) ) ) ) ) ) ) ).
fof(t17_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (v4_topreal1(A) &  (r2_tarski(C, k3_topreal1(2, A)) & B=k8_finseq_1(u1_struct_0(k15_euclid(2)), k12_finseq_1(u1_struct_0(k15_euclid(2)), C), k3_finseq_6(u1_struct_0(k15_euclid(2)), A, k1_nat_1(k1_jordan3(A, C), 1), k3_finseq_1(A)))) )  =>  (C=k1_funct_1(A, k1_nat_1(k1_jordan3(A, C), 1)) | r1_jordan3(B, C, k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A)))) ) ) ) ) ) ) ) ).
fof(t18_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(C, k3_topreal1(2, A)) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(k1_nat_1(D, 1), k3_finseq_1(B)) & B=k8_finseq_1(u1_struct_0(k15_euclid(2)), k3_finseq_6(u1_struct_0(k15_euclid(2)), A, 1, k1_jordan3(A, C)), k12_finseq_1(u1_struct_0(k15_euclid(2)), C))) ) )  => r1_tarski(k2_topreal1(2, B, D), k2_topreal1(2, A, D))) ) ) ) ) ) ) ) ) ).
fof(t19_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (v4_topreal1(A) &  (r2_tarski(C, k3_topreal1(2, A)) & B=k8_finseq_1(u1_struct_0(k15_euclid(2)), k3_finseq_6(u1_struct_0(k15_euclid(2)), A, 1, k1_jordan3(A, C)), k12_finseq_1(u1_struct_0(k15_euclid(2)), C))) )  =>  (C=k1_funct_1(A, 1) | r1_jordan3(B, k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1), C)) ) ) ) ) ) ) ) ).
fof(d3_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( ( ~ (B=k1_funct_1(A, k1_nat_1(k1_jordan3(A, B), 1)))  => k2_jordan3(A, B)=k8_finseq_1(u1_struct_0(k15_euclid(2)), k12_finseq_1(u1_struct_0(k15_euclid(2)), B), k3_finseq_6(u1_struct_0(k15_euclid(2)), A, k1_nat_1(k1_jordan3(A, B), 1), k3_finseq_1(A))))  &  (B=k1_funct_1(A, k1_nat_1(k1_jordan3(A, B), 1)) => k2_jordan3(A, B)=k3_finseq_6(u1_struct_0(k15_euclid(2)), A, k1_nat_1(k1_jordan3(A, B), 1), k3_finseq_1(A))) ) ) ) ) ) ).
fof(d4_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( ( ~ (B=k1_funct_1(A, 1))  => k3_jordan3(A, B)=k8_finseq_1(u1_struct_0(k15_euclid(2)), k3_finseq_6(u1_struct_0(k15_euclid(2)), A, 1, k1_jordan3(A, B)), k12_finseq_1(u1_struct_0(k15_euclid(2)), B)))  &  (B=k1_funct_1(A, 1) => k3_jordan3(A, B)=k12_finseq_1(u1_struct_0(k15_euclid(2)), B)) ) ) ) ) ) ).
fof(t20_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (v4_topreal1(A) &  (r2_tarski(B, k3_topreal1(2, A)) & B=k1_funct_1(A, k1_nat_1(k1_jordan3(A, B), 1))) )  =>  (B=k1_funct_1(A, k3_finseq_1(A)) | k1_nat_1(k1_nat_1(k1_jordan3(k4_finseq_5(u1_struct_0(k15_euclid(2)), A), B), k1_jordan3(A, B)), 1)=k3_finseq_1(A)) ) ) ) ) ) ).
fof(t21_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (v2_topreal1(A) &  (v3_topreal1(A) & r2_tarski(B, k3_topreal1(2, A))) )  =>  (B=k1_funct_1(A, k1_nat_1(k1_jordan3(A, B), 1)) | k1_nat_1(k1_jordan3(k4_finseq_5(u1_struct_0(k15_euclid(2)), A), B), k1_jordan3(A, B))=k3_finseq_1(A)) ) ) ) ) ) ).
fof(t22_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (v4_topreal1(A) & r2_tarski(B, k3_topreal1(2, A)))  => k2_jordan3(k4_finseq_5(u1_struct_0(k15_euclid(2)), A), B)=k4_finseq_5(u1_struct_0(k15_euclid(2)), k3_jordan3(A, B))) ) ) ) ) ).
fof(t23_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k3_topreal1(2, A)) =>  (k1_funct_1(k2_jordan3(A, B), 1)=B &  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(C, k3_finseq_1(k2_jordan3(A, B))) =>  (r1_xxreal_0(C, 1) |  ( (B=k1_funct_1(A, k1_nat_1(k1_jordan3(A, B), 1)) => k1_funct_1(k2_jordan3(A, B), C)=k1_funct_1(A, k2_xcmplx_0(k1_jordan3(A, B), C)))  &  ( ~ (B=k1_funct_1(A, k1_nat_1(k1_jordan3(A, B), 1)))  => k1_funct_1(k2_jordan3(A, B), C)=k1_funct_1(A, k6_xcmplx_0(k2_xcmplx_0(k1_jordan3(A, B), C), 1))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k3_topreal1(2, A)) =>  (k1_funct_1(k3_jordan3(A, B), k3_finseq_1(k3_jordan3(A, B)))=B &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, k1_jordan3(A, B)))  => k1_funct_1(k3_jordan3(A, B), C)=k1_funct_1(A, C)) ) ) ) ) ) ) ) ) ).
fof(t25_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k3_topreal1(2, A)) =>  ( ( ~ (B=k1_funct_1(A, 1))  => k3_finseq_1(k3_jordan3(A, B))=k1_nat_1(k1_jordan3(A, B), 1))  &  (B=k1_funct_1(A, 1) => k3_finseq_1(k3_jordan3(A, B))=k1_jordan3(A, B)) ) ) ) ) ) ) ).
fof(t26_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k3_topreal1(2, A)) =>  ( (B=k1_funct_1(A, k1_nat_1(k1_jordan3(A, B), 1)) => k3_finseq_1(k2_jordan3(A, B))=k6_xcmplx_0(k3_finseq_1(A), k1_jordan3(A, B)))  &  ( ~ (B=k1_funct_1(A, k1_nat_1(k1_jordan3(A, B), 1)))  => k3_finseq_1(k2_jordan3(A, B))=k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(A), k1_jordan3(A, B)), 1)) ) ) ) ) ) ) ).
fof(d5_jordan3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_jordan3(A, B, C, D) <=>  (r2_tarski(C, k1_rltopsp1(k15_euclid(2), A, B)) &  (r2_tarski(D, k1_rltopsp1(k15_euclid(2), A, B)) &  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (r1_xxreal_0(k5_numbers, E) &  (r1_xxreal_0(E, 1) &  (C=k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), A, k6_xcmplx_0(1, E)), k1_rlvect_1(k15_euclid(2), B, E)) &  (r1_xxreal_0(k5_numbers, F) &  (r1_xxreal_0(F, 1) & D=k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), A, k6_xcmplx_0(1, F)), k1_rlvect_1(k15_euclid(2), B, F))) ) ) ) )  => r1_xxreal_0(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_jordan3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r3_jordan3(A, B, C, D) <=>  (r2_jordan3(A, B, C, D) &  ~ (C=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_jordan3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r2_jordan3(A, B, C, D) & r2_jordan3(A, B, D, C))  => C=D) ) ) ) ) ) ) ) ) ).
fof(t28_jordan3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(C, k1_rltopsp1(k15_euclid(2), A, B)) & r2_tarski(D, k1_rltopsp1(k15_euclid(2), A, B)))  =>  (A=B |  ( (r2_jordan3(A, B, C, D) | r3_jordan3(A, B, D, C))  &  ~ ( (r2_jordan3(A, B, C, D) & r3_jordan3(A, B, D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(B, k3_topreal1(2, A)) & r2_tarski(C, k3_topreal1(2, A)))  =>  (r1_xxreal_0(k1_jordan3(A, C), k1_jordan3(A, B)) | r2_tarski(C, k3_topreal1(2, k2_jordan3(A, B)))) ) ) ) ) ) ) ) ).
fof(t30_jordan3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_jordan3(C, D, A, B) =>  (r2_tarski(B, k1_rltopsp1(k15_euclid(2), A, D)) & r2_tarski(A, k1_rltopsp1(k15_euclid(2), C, B))) ) ) ) ) ) ) ) ) ) ).
fof(t31_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(B, k3_topreal1(2, A)) &  (r2_tarski(C, k3_topreal1(2, A)) &  (k1_jordan3(A, B)=k1_jordan3(A, C) & r2_jordan3(k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_jordan3(A, B)), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(k1_jordan3(A, B), 1)), B, C)) ) )  =>  (B=C | r2_tarski(C, k3_topreal1(2, k2_jordan3(A, B)))) ) ) ) ) ) ) ) ).
fof(d7_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ( ( (r2_tarski(B, k3_topreal1(2, A)) &  (r2_tarski(C, k3_topreal1(2, A)) &  ~ (r1_xxreal_0(k1_jordan3(A, C), k1_jordan3(A, B))) ) )  |  (k1_jordan3(A, B)=k1_jordan3(A, C) & r2_jordan3(k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_jordan3(A, B)), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(k1_jordan3(A, B), 1)), B, C)) )  => k4_jordan3(A, B, C)=k3_jordan3(k2_jordan3(A, B), C))  &  ~ ( ( ~ ( (r2_tarski(B, k3_topreal1(2, A)) &  (r2_tarski(C, k3_topreal1(2, A)) &  ~ (r1_xxreal_0(k1_jordan3(A, C), k1_jordan3(A, B))) ) ) )  &  ( ~ ( (k1_jordan3(A, B)=k1_jordan3(A, C) & r2_jordan3(k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_jordan3(A, B)), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(k1_jordan3(A, B), 1)), B, C)) )  &  ~ (k4_jordan3(A, B, C)=k4_finseq_5(u1_struct_0(k15_euclid(2)), k3_jordan3(k2_jordan3(A, C), B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (v4_topreal1(A) & r2_tarski(B, k3_topreal1(2, A)))  =>  (B=k1_funct_1(A, 1) | r1_jordan3(k3_jordan3(A, B), k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1), B)) ) ) ) ) ) ).
fof(t33_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (v4_topreal1(A) & r2_tarski(B, k3_topreal1(2, A)))  =>  (B=k1_funct_1(A, k3_finseq_1(A)) | r1_jordan3(k2_jordan3(A, B), B, k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A)))) ) ) ) ) ) ).
fof(t34_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (v4_topreal1(A) & r2_tarski(B, k3_topreal1(2, A)))  =>  (B=k1_funct_1(A, k3_finseq_1(A)) | v4_topreal1(k2_jordan3(A, B))) ) ) ) ) ) ).
fof(t35_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (v4_topreal1(A) & r2_tarski(B, k3_topreal1(2, A)))  =>  (B=k1_funct_1(A, 1) | v4_topreal1(k3_jordan3(A, B))) ) ) ) ) ) ).
fof(t36_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (v4_topreal1(A) &  (r2_tarski(B, k3_topreal1(2, A)) & r2_tarski(C, k3_topreal1(2, A))) )  =>  (B=C | r1_jordan3(k4_jordan3(A, B, C), B, C)) ) ) ) ) ) ) ) ).
fof(t37_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (v4_topreal1(A) &  (r2_tarski(B, k3_topreal1(2, A)) & r2_tarski(C, k3_topreal1(2, A))) )  =>  (B=C | v4_topreal1(k4_jordan3(A, B, C))) ) ) ) ) ) ) ) ).
fof(t38_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  ( (k1_funct_1(A, k3_finseq_1(A))=k1_funct_1(B, 1) &  (v4_topreal1(A) &  (v4_topreal1(B) & k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A), k3_topreal1(2, B))=k1_tarski(k1_funct_1(B, 1))) ) )  => v4_topreal1(k8_finseq_1(u1_struct_0(k15_euclid(2)), A, k3_finseq_6(u1_struct_0(k15_euclid(2)), B, 2, k3_finseq_1(B))))) ) ) ) ) ).
fof(t39_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  ( (k1_funct_1(A, k3_finseq_1(A))=k1_funct_1(B, 1) &  (v4_topreal1(A) &  (v4_topreal1(B) & k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A), k3_topreal1(2, B))=k1_tarski(k1_funct_1(B, 1))) ) )  => r1_jordan3(k8_finseq_1(u1_struct_0(k15_euclid(2)), A, k3_finseq_6(u1_struct_0(k15_euclid(2)), B, 2, k3_finseq_1(B))), k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1), k7_partfun1(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B)))) ) ) ) ) ).
fof(t40_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => r1_tarski(k3_topreal1(2, k2_rfinseq(u1_struct_0(k15_euclid(2)), B, A)), k3_topreal1(2, A))) ) ) ) ).
fof(t41_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k3_topreal1(2, A)) => r1_tarski(k3_topreal1(2, k3_jordan3(A, B)), k3_topreal1(2, A))) ) ) ) ) ).
fof(t42_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k3_topreal1(2, A)) => r1_tarski(k3_topreal1(2, k2_jordan3(A, B)), k3_topreal1(2, A))) ) ) ) ) ).
fof(t43_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (k1_funct_1(A, k3_finseq_1(A))=k1_funct_1(B, 1) &  (r2_tarski(C, k3_topreal1(2, A)) &  (v4_topreal1(A) &  (v4_topreal1(B) & k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A), k3_topreal1(2, B))=k1_tarski(k1_funct_1(B, 1))) ) ) )  =>  (C=k1_funct_1(A, k3_finseq_1(A)) | r1_jordan3(k8_finseq_1(u1_struct_0(k15_euclid(2)), k2_jordan3(A, C), k3_finseq_6(u1_struct_0(k15_euclid(2)), B, 2, k3_finseq_1(B))), C, k7_partfun1(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B)))) ) ) ) ) ) ) ) ).
fof(t44_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (k1_funct_1(A, k3_finseq_1(A))=k1_funct_1(B, 1) &  (r2_tarski(C, k3_topreal1(2, A)) &  (v4_topreal1(A) &  (v4_topreal1(B) & k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A), k3_topreal1(2, B))=k1_tarski(k1_funct_1(B, 1))) ) ) )  =>  (C=k1_funct_1(A, k3_finseq_1(A)) | v4_topreal1(k8_finseq_1(u1_struct_0(k15_euclid(2)), k2_jordan3(A, C), k3_finseq_6(u1_struct_0(k15_euclid(2)), B, 2, k3_finseq_1(B))))) ) ) ) ) ) ) ) ).
fof(t45_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  ( (k1_funct_1(A, k3_finseq_1(A))=k1_funct_1(B, 1) &  (v4_topreal1(A) &  (v4_topreal1(B) & k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A), k3_topreal1(2, B))=k1_tarski(k1_funct_1(B, 1))) ) )  => v4_topreal1(k8_finseq_1(u1_struct_0(k15_euclid(2)), k3_finseq_6(u1_struct_0(k15_euclid(2)), A, 1, k7_nat_d(k3_finseq_1(A), 1)), B))) ) ) ) ) ).
fof(t46_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  ( (k1_funct_1(A, k3_finseq_1(A))=k1_funct_1(B, 1) &  (v4_topreal1(A) &  (v4_topreal1(B) & k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A), k3_topreal1(2, B))=k1_tarski(k1_funct_1(B, 1))) ) )  => r1_jordan3(k8_finseq_1(u1_struct_0(k15_euclid(2)), k3_finseq_6(u1_struct_0(k15_euclid(2)), A, 1, k7_nat_d(k3_finseq_1(A), 1)), B), k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1), k7_partfun1(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B)))) ) ) ) ) ).
fof(t47_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (k1_funct_1(A, k3_finseq_1(A))=k1_funct_1(B, 1) &  (r2_tarski(C, k3_topreal1(2, B)) &  (v4_topreal1(A) &  (v4_topreal1(B) & k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A), k3_topreal1(2, B))=k1_tarski(k1_funct_1(B, 1))) ) ) )  =>  (C=k1_funct_1(B, 1) | r1_jordan3(k8_finseq_1(u1_struct_0(k15_euclid(2)), k3_finseq_6(u1_struct_0(k15_euclid(2)), A, 1, k7_nat_d(k3_finseq_1(A), 1)), k3_jordan3(B, C)), k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1), C)) ) ) ) ) ) ) ) ).
fof(t48_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (k1_funct_1(A, k3_finseq_1(A))=k1_funct_1(B, 1) &  (r2_tarski(C, k3_topreal1(2, B)) &  (v4_topreal1(A) &  (v4_topreal1(B) & k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A), k3_topreal1(2, B))=k1_tarski(k1_funct_1(B, 1))) ) ) )  =>  (C=k1_funct_1(B, 1) | v4_topreal1(k8_finseq_1(u1_struct_0(k15_euclid(2)), k3_finseq_6(u1_struct_0(k15_euclid(2)), A, 1, k7_nat_d(k3_finseq_1(A), 1)), k3_jordan3(B, C)))) ) ) ) ) ) ) ) ).
fof(dt_k1_jordan3, axiom,  (! [A, B] :  ( (m1_finseq_1(A, u1_struct_0(k15_euclid(2))) & m1_subset_1(B, u1_struct_0(k15_euclid(2))))  => m1_subset_1(k1_jordan3(A, B), k4_ordinal1)) ) ).
fof(dt_k2_jordan3, axiom,  (! [A, B] :  ( (m1_finseq_1(A, u1_struct_0(k15_euclid(2))) & m1_subset_1(B, u1_struct_0(k15_euclid(2))))  => m2_finseq_1(k2_jordan3(A, B), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k3_jordan3, axiom,  (! [A, B] :  ( (m1_finseq_1(A, u1_struct_0(k15_euclid(2))) & m1_subset_1(B, u1_struct_0(k15_euclid(2))))  => m2_finseq_1(k3_jordan3(A, B), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k4_jordan3, axiom,  (! [A, B, C] :  ( (m1_finseq_1(A, u1_struct_0(k15_euclid(2))) &  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) & m1_subset_1(C, u1_struct_0(k15_euclid(2)))) )  => m2_finseq_1(k4_jordan3(A, B, C), u1_struct_0(k15_euclid(2)))) ) ).
fof(d1_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k3_topreal1(2, A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (C=k1_jordan3(A, B) <=>  (? [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k4_ordinal1)))  &  (C=k4_seq_4(D) & D=a_2_0_jordan3(A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_jordan3, axiom,  (! [A, B, C] :  ( (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) & m1_subset_1(C, u1_struct_0(k15_euclid(2))))  =>  (r2_hidden(A, a_2_0_jordan3(B, C)) <=>  (? [D] :  (v7_ordinal1(D) &  (A=D & r2_tarski(C, k2_topreal1(2, B, D))) ) ) ) ) ) ).
fof(rc1_jordan4, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_xboole_0(A) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ).
fof(fc1_jordan4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_xboole_0(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  & v7_ordinal1(B))  =>  (v1_relat_1(k16_finseq_1(B, A)) &  (v1_xboole_0(k16_finseq_1(B, A)) &  (v1_funct_1(k16_finseq_1(B, A)) & v1_finseq_1(k16_finseq_1(B, A))) ) ) ) ) ).
fof(t1_jordan4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (r1_xxreal_0(k2_xcmplx_0(B, B), A))  & k4_nat_d(A, B)=k5_numbers) ) ) ) ) ) ) ).
fof(t2_jordan4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(B, A) =>  (r1_xxreal_0(k2_xcmplx_0(B, B), A) |  (k4_nat_d(A, B)=k6_xcmplx_0(A, B) & k4_nat_d(A, B)=k7_nat_d(A, B)) ) ) ) ) ) ) ).
fof(t3_jordan4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k4_nat_d(k2_xcmplx_0(B, B), B)=k5_numbers) ) ) ) ).
fof(t4_jordan4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(B, A) & k4_nat_d(B, A)=k5_numbers)  =>  (r1_xxreal_0(B, k5_numbers) | B=A) ) ) ) ) ) ).
fof(t5_jordan4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  ( (v1_finseq_6(B, A) & r1_xxreal_0(1, k3_finseq_1(B)))  => k1_funct_1(B, 1)=k1_funct_1(B, k3_finseq_1(B))) ) ) ) ) ).
fof(t6_jordan4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (r1_xxreal_0(k3_finseq_1(B), C))  =>  (k1_funct_1(k2_rfinseq(A, C, B), k3_finseq_1(k2_rfinseq(A, C, B)))=k1_funct_1(B, k3_finseq_1(B)) & k7_partfun1(A, k2_rfinseq(A, C, B), k3_finseq_1(k2_rfinseq(A, C, B)))=k7_partfun1(A, B, k3_finseq_1(B))) ) ) ) ) ) ) ) ).
fof(t7_jordan4, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (v7_ordinal1(B) =>  (v4_topreal1(A) =>  (r1_xxreal_0(k3_finseq_1(A), k1_nat_1(B, 1)) | v4_topreal1(k2_rfinseq(u1_struct_0(k15_euclid(2)), B, A))) ) ) ) ) ) ).
fof(t8_jordan4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, C) & r1_xxreal_0(C, k3_finseq_1(B))) )  => k3_finseq_1(k3_finseq_6(A, B, D, C))=k1_nat_1(k7_nat_d(C, D), 1)) ) ) ) ) ) ) ) ) ).
fof(t9_jordan4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, C) & r1_xxreal_0(C, k3_finseq_1(B))) )  => k3_finseq_1(k3_finseq_6(A, B, C, D))=k1_nat_1(k7_nat_d(C, D), 1)) ) ) ) ) ) ) ) ) ).
fof(t10_jordan4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, D) & r1_xxreal_0(D, k3_finseq_1(B))) )  => k1_funct_1(k3_finseq_6(A, B, C, D), k3_finseq_1(k3_finseq_6(A, B, C, D)))=k1_funct_1(B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_jordan4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(B)) &  (r1_xxreal_0(1, D) & r1_xxreal_0(D, k3_finseq_1(B))) ) )  => k1_funct_1(k3_finseq_6(A, B, C, D), k3_finseq_1(k3_finseq_6(A, B, C, D)))=k1_funct_1(B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_jordan4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, C) &  (r1_xxreal_0(C, k3_finseq_1(B)) &  (r1_xxreal_0(1, E) & r1_xxreal_0(E, k1_nat_1(k7_nat_d(C, D), 1))) ) ) )  => k1_funct_1(k3_finseq_6(A, B, C, D), E)=k1_funct_1(B, k1_nat_1(k7_nat_d(C, E), 1))) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_jordan4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, B) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, D) &  (r1_xxreal_0(D, k3_finseq_1(C)) &  (r1_xxreal_0(1, A) & r1_xxreal_0(A, k1_nat_1(k7_nat_d(D, E), 1))) ) ) )  =>  (k1_funct_1(k3_finseq_6(B, C, D, E), A)=k1_funct_1(k3_finseq_6(B, C, E, D), k2_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(D, E), 1), A), 1)) & k2_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(D, E), 1), A), 1)=k1_nat_1(k7_nat_d(k1_nat_1(k7_nat_d(D, E), 1), A), 1)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_jordan4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, B) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, k3_finseq_1(C)) &  (r1_xxreal_0(1, A) & r1_xxreal_0(A, k1_nat_1(k7_nat_d(E, D), 1))) ) ) )  =>  (k1_funct_1(k3_finseq_6(B, C, D, E), A)=k1_funct_1(k3_finseq_6(B, C, E, D), k2_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(E, D), 1), A), 1)) & k2_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(E, D), 1), A), 1)=k1_nat_1(k7_nat_d(k1_nat_1(k7_nat_d(E, D), 1), A), 1)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_jordan4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r2_tarski(A, k4_finseq_1(B)) =>  (k2_finseq_6(B, A, A)=k9_finseq_1(k1_funct_1(B, A)) & k3_finseq_1(k2_finseq_6(B, A, A))=1) ) ) ) ) ) ).
fof(t16_jordan4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k2_finseq_6(A, k5_numbers, k5_numbers)=k16_finseq_1(1, A)) ) ).
fof(t17_jordan4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( ~ (r1_xxreal_0(A, k3_finseq_1(B)))  => k2_finseq_6(B, A, A)=k1_xboole_0) ) ) ) ) ).
fof(t18_jordan4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  => k2_finseq_6(C, A, B)=k3_finseq_5(k2_finseq_6(C, B, A))) ) ) ) ) ) ).
fof(t19_jordan4, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(C, k3_finseq_1(A)) & r1_xxreal_0(1, D)) )  =>  (r1_xxreal_0(C, B) |  (r1_xxreal_0(k1_nat_1(k7_nat_d(C, B), 1), D) | k2_topreal1(2, k3_finseq_6(u1_struct_0(k15_euclid(2)), A, B, C), D)=k2_topreal1(2, A, k7_nat_d(k2_xcmplx_0(D, B), 1))) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_jordan4, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(C, k3_finseq_1(A)) & r1_xxreal_0(1, D)) )  =>  (r1_xxreal_0(C, B) |  (r1_xxreal_0(k1_nat_1(k7_nat_d(C, B), 1), D) | k2_topreal1(2, k3_finseq_6(u1_struct_0(k15_euclid(2)), A, C, B), D)=k2_topreal1(2, A, k7_nat_d(C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_jordan4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( ( ~ (k4_nat_d(A, k7_nat_d(k3_finseq_1(B), 1))=k5_numbers)  => k1_jordan4(A, B)=k4_nat_d(A, k7_nat_d(k3_finseq_1(B), 1)))  &  (k4_nat_d(A, k7_nat_d(k3_finseq_1(B), 1))=k5_numbers => k1_jordan4(A, B)=k7_nat_d(k3_finseq_1(B), 1)) ) ) ) ) ) ).
fof(t21_jordan4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k1_jordan4(k7_nat_d(k3_finseq_1(A), 1), A)=k7_nat_d(k3_finseq_1(A), 1)) ) ).
fof(t22_jordan4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, k7_nat_d(k3_finseq_1(B), 1)))  => k1_jordan4(A, B)=A) ) ) ) ) ).
fof(t23_jordan4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (k1_jordan4(A, B)=k1_jordan4(k1_nat_1(A, k7_nat_d(k3_finseq_1(B), 1)), B) & k1_jordan4(A, B)=k1_jordan4(k2_xcmplx_0(k7_nat_d(k3_finseq_1(B), 1), A), B)) ) ) ) ) ).
fof(d2_jordan4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_jordan4(A, B, C, D) <=>  (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(A)) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(k1_nat_1(D, 1), k3_finseq_1(A)) &  (k1_funct_1(B, k3_finseq_1(B))=k1_funct_1(A, D) &  (r1_xxreal_0(1, k3_finseq_1(B)) &  ( ~ (r1_xxreal_0(k3_finseq_1(A), k3_finseq_1(B)))  &  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, k3_finseq_1(B)))  => k1_funct_1(B, E)=k1_funct_1(A, k1_jordan4(k7_nat_d(k2_xcmplx_0(C, E), 1), A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_jordan4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_jordan4(A, B, C, D) <=>  (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(A)) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(k1_nat_1(D, 1), k3_finseq_1(A)) &  (k1_funct_1(B, k3_finseq_1(B))=k1_funct_1(A, D) &  (r1_xxreal_0(1, k3_finseq_1(B)) &  ( ~ (r1_xxreal_0(k3_finseq_1(A), k3_finseq_1(B)))  &  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, k3_finseq_1(B)))  => k1_funct_1(B, E)=k1_funct_1(A, k1_jordan4(k7_nat_d(k2_xcmplx_0(k3_finseq_1(A), C), E), A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_jordan4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r3_jordan4(A, B, C, D) <=>  (r1_jordan4(A, B, C, D) | r2_jordan4(A, B, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t24_jordan4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r3_jordan4(A, B, C, D) =>  (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(A)) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(k1_nat_1(D, 1), k3_finseq_1(A)) &  (k1_funct_1(B, k3_finseq_1(B))=k1_funct_1(A, D) &  (r1_xxreal_0(1, k3_finseq_1(B)) &  ( ~ (r1_xxreal_0(k3_finseq_1(A), k3_finseq_1(B)))  &  ( (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, k3_finseq_1(B)))  => k1_funct_1(B, E)=k1_funct_1(A, k1_jordan4(k7_nat_d(k2_xcmplx_0(C, E), 1), A))) ) )  |  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, k3_finseq_1(B)))  => k1_funct_1(B, E)=k1_funct_1(A, k1_jordan4(k7_nat_d(k2_xcmplx_0(k3_finseq_1(A), C), E), A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_jordan4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_jordan4(A, B, C, D) & r1_xxreal_0(C, D))  =>  (k3_finseq_1(B)=k1_nat_1(k7_nat_d(D, C), 1) & B=k3_finseq_6(u1_struct_0(k15_euclid(2)), A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t26_jordan4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_jordan4(A, B, C, D) =>  (r1_xxreal_0(C, D) |  (k3_finseq_1(B)=k7_nat_d(k2_xcmplx_0(k3_finseq_1(A), D), C) &  (B=k8_finseq_1(u1_struct_0(k15_euclid(2)), k3_finseq_6(u1_struct_0(k15_euclid(2)), A, C, k7_nat_d(k3_finseq_1(A), 1)), k17_finseq_1(u1_struct_0(k15_euclid(2)), D, A)) & B=k8_finseq_1(u1_struct_0(k15_euclid(2)), k3_finseq_6(u1_struct_0(k15_euclid(2)), A, C, k7_nat_d(k3_finseq_1(A), 1)), k3_finseq_6(u1_struct_0(k15_euclid(2)), A, 1, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_jordan4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_jordan4(A, B, C, D) & r1_xxreal_0(D, C))  =>  (k3_finseq_1(B)=k1_nat_1(k7_nat_d(C, D), 1) & B=k3_finseq_6(u1_struct_0(k15_euclid(2)), A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t28_jordan4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_jordan4(A, B, C, D) =>  (r1_xxreal_0(D, C) |  (k3_finseq_1(B)=k7_nat_d(k2_xcmplx_0(k3_finseq_1(A), C), D) & B=k8_finseq_1(u1_struct_0(k15_euclid(2)), k3_finseq_6(u1_struct_0(k15_euclid(2)), A, C, 1), k3_finseq_6(u1_struct_0(k15_euclid(2)), A, k7_nat_d(k3_finseq_1(A), 1), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_jordan4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_jordan4(A, B, C, D) => r2_jordan4(A, k4_finseq_5(u1_struct_0(k15_euclid(2)), B), D, C)) ) ) ) ) ) ) ) ) ).
fof(t30_jordan4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_jordan4(A, B, C, D) => r1_jordan4(A, k4_finseq_5(u1_struct_0(k15_euclid(2)), B), D, C)) ) ) ) ) ) ) ) ) ).
fof(t31_jordan4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(B, C))  =>  (r1_xxreal_0(k3_finseq_1(A), C) | r1_jordan4(A, k3_finseq_6(u1_struct_0(k15_euclid(2)), A, B, C), B, C)) ) ) ) ) ) ) ) ).
fof(t32_jordan4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(B, C))  =>  (r1_xxreal_0(k3_finseq_1(A), C) | r2_jordan4(A, k3_finseq_6(u1_struct_0(k15_euclid(2)), A, C, B), C, B)) ) ) ) ) ) ) ) ).
fof(t33_jordan4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(1, C) =>  (r1_xxreal_0(B, C) |  (r1_xxreal_0(k3_finseq_1(A), B) | r1_jordan4(A, k8_finseq_1(u1_struct_0(k15_euclid(2)), k3_finseq_6(u1_struct_0(k15_euclid(2)), A, B, k7_nat_d(k3_finseq_1(A), 1)), k3_finseq_6(u1_struct_0(k15_euclid(2)), A, 1, C)), B, C)) ) ) ) ) ) ) ) ) ).
fof(t34_jordan4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(1, B) =>  (r1_xxreal_0(C, B) |  (r1_xxreal_0(k3_finseq_1(A), C) | r2_jordan4(A, k8_finseq_1(u1_struct_0(k15_euclid(2)), k3_finseq_6(u1_struct_0(k15_euclid(2)), A, B, 1), k3_finseq_6(u1_struct_0(k15_euclid(2)), A, k7_nat_d(k3_finseq_1(A), 1), C)), B, C)) ) ) ) ) ) ) ) ) ).
fof(t35_jordan4, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k3_finseq_1(A)) &  (r1_xxreal_0(1, C) & r1_xxreal_0(C, k3_finseq_1(A))) ) )  => r1_tarski(k3_topreal1(2, k3_finseq_6(u1_struct_0(k15_euclid(2)), A, B, C)), k3_topreal1(2, A))) ) ) ) ) ) ) ).
fof(t36_jordan4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (v2_funct_1(B) <=>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(B)) &  (r1_xxreal_0(1, D) & r1_xxreal_0(D, k3_finseq_1(B))) ) )  =>  ( ( ~ (k1_funct_1(B, C)=k1_funct_1(B, D))  &  ~ (k7_partfun1(A, B, C)=k7_partfun1(A, B, D)) )  | C=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_jordan4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(k1_nat_1(B, 1), k3_finseq_1(A)) =>  (r1_xxreal_0(B, 1) | v4_topreal1(k17_finseq_1(u1_struct_0(k15_euclid(2)), B, A))) ) ) ) ) ) ).
fof(t38_jordan4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(1, B) =>  (r1_xxreal_0(k3_finseq_1(A), k1_nat_1(B, 1)) | v4_topreal1(k2_rfinseq(u1_struct_0(k15_euclid(2)), B, A))) ) ) ) ) ) ).
fof(t39_jordan4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(A)))  =>  (r1_xxreal_0(C, B) | v4_topreal1(k3_finseq_6(u1_struct_0(k15_euclid(2)), A, B, C))) ) ) ) ) ) ) ) ).
fof(t40_jordan4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(C, k3_finseq_1(A)) =>  (r1_xxreal_0(B, 1) |  (r1_xxreal_0(C, B) | v4_topreal1(k3_finseq_6(u1_struct_0(k15_euclid(2)), A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t41_jordan4, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(A, k1_rltopsp1(k15_euclid(2), B, C)) &  (r2_tarski(A, k1_rltopsp1(k15_euclid(2), B, D)) &  ( ~ (B=A)  &  ( ~ (r2_tarski(C, k1_rltopsp1(k15_euclid(2), B, D)))  &  ~ (r2_tarski(D, k1_rltopsp1(k15_euclid(2), B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_jordan4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => k9_subset_1(u1_struct_0(k15_euclid(2)), k2_topreal1(2, A, 1), k2_topreal1(2, A, k7_nat_d(k3_finseq_1(A), 1)))=k1_tarski(k1_funct_1(A, 1))) ) ).
fof(t43_jordan4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(k15_euclid(2))) =>  ( (r1_xxreal_0(1, B) &  (D=k3_finseq_6(u1_struct_0(k15_euclid(2)), A, B, C) & E=k8_finseq_1(u1_struct_0(k15_euclid(2)), k3_finseq_6(u1_struct_0(k15_euclid(2)), A, B, 1), k3_finseq_6(u1_struct_0(k15_euclid(2)), A, k7_nat_d(k3_finseq_1(A), 1), C))) )  =>  (r1_xxreal_0(C, B) |  (r1_xxreal_0(k3_finseq_1(A), C) |  (k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, D), k3_topreal1(2, E))=k2_tarski(k1_funct_1(A, B), k1_funct_1(A, C)) & k4_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, D), k3_topreal1(2, E))=k3_topreal1(2, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_jordan4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_jordan4(A, B, C, D) =>  (r1_xxreal_0(D, C) | r1_topreal4(k3_topreal1(2, B), k7_partfun1(u1_struct_0(k15_euclid(2)), A, C), k7_partfun1(u1_struct_0(k15_euclid(2)), A, D))) ) ) ) ) ) ) ) ) ) ).
fof(t45_jordan4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_jordan4(A, B, C, D) =>  (r1_xxreal_0(C, D) | r1_topreal4(k3_topreal1(2, B), k7_partfun1(u1_struct_0(k15_euclid(2)), A, C), k7_partfun1(u1_struct_0(k15_euclid(2)), A, D))) ) ) ) ) ) ) ) ) ) ).
fof(t46_jordan4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_jordan4(A, B, C, D) =>  (C=D | r1_topreal4(k3_topreal1(2, B), k7_partfun1(u1_struct_0(k15_euclid(2)), A, C), k7_partfun1(u1_struct_0(k15_euclid(2)), A, D))) ) ) ) ) ) ) ) ) ) ).
fof(t47_jordan4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_jordan4(A, B, C, D) =>  (C=D | r1_topreal4(k3_topreal1(2, B), k7_partfun1(u1_struct_0(k15_euclid(2)), A, C), k7_partfun1(u1_struct_0(k15_euclid(2)), A, D))) ) ) ) ) ) ) ) ) ) ).
fof(t48_jordan4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r3_jordan4(A, B, C, D) =>  (C=D | r1_topreal4(k3_topreal1(2, B), k7_partfun1(u1_struct_0(k15_euclid(2)), A, C), k7_partfun1(u1_struct_0(k15_euclid(2)), A, D))) ) ) ) ) ) ) ) ) ) ).
fof(t49_jordan4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r3_jordan4(A, B, C, D) =>  (k1_funct_1(B, 1)=k1_funct_1(B, k3_finseq_1(B)) | r1_topreal4(k3_topreal1(2, B), k7_partfun1(u1_struct_0(k15_euclid(2)), A, C), k7_partfun1(u1_struct_0(k15_euclid(2)), A, D))) ) ) ) ) ) ) ) ) ) ).
fof(t50_jordan4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(k1_nat_1(B, 1), k3_finseq_1(A)) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(A)) &  ( ~ (B=C)  &  (! [D] :  (m2_finseq_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(k15_euclid(2))) =>  ~ ( (r3_jordan4(A, D, B, C) &  (r3_jordan4(A, E, B, C) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, D), k3_topreal1(2, E))=k2_tarski(k1_funct_1(A, B), k1_funct_1(A, C)) &  (k4_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, D), k3_topreal1(2, E))=k3_topreal1(2, A) &  (r1_topreal4(k3_topreal1(2, D), k7_partfun1(u1_struct_0(k15_euclid(2)), A, B), k7_partfun1(u1_struct_0(k15_euclid(2)), A, C)) &  (r1_topreal4(k3_topreal1(2, E), k7_partfun1(u1_struct_0(k15_euclid(2)), A, B), k7_partfun1(u1_struct_0(k15_euclid(2)), A, C)) &  (! [F] :  (m2_finseq_1(F, u1_struct_0(k15_euclid(2))) =>  ~ ( (r3_jordan4(A, F, B, C) &  ( ~ (F=D)  &  ~ (F=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_jordan4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (B=k3_topreal1(2, A) => v1_topreal2(B)) ) ) ) ) ).
fof(t52_jordan4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  ( ~ (v3_funct_1(C))  &  (v1_finseq_6(C, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(C) &  (v2_topreal1(C) &  (v1_goboard5(C) &  (v2_goboard5(C) & m2_finseq_1(C, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(k15_euclid(2))) =>  ( (r1_jordan4(C, D, A, B) & r1_jordan4(C, E, A, B))  => D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_jordan4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  ( ~ (v3_funct_1(C))  &  (v1_finseq_6(C, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(C) &  (v2_topreal1(C) &  (v1_goboard5(C) &  (v2_goboard5(C) & m2_finseq_1(C, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(k15_euclid(2))) =>  ( (r2_jordan4(C, D, A, B) & r2_jordan4(C, E, A, B))  => D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_jordan4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  ( ~ (v3_funct_1(C))  &  (v1_finseq_6(C, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(C) &  (v2_topreal1(C) &  (v1_goboard5(C) &  (v2_goboard5(C) & m2_finseq_1(C, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (A=B)  &  (r1_jordan4(C, D, A, B) &  (r2_jordan4(C, E, A, B) & k1_funct_1(D, 2)=k1_funct_1(E, 2)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_jordan4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  ( ~ (v3_funct_1(C))  &  (v1_finseq_6(C, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(C) &  (v2_topreal1(C) &  (v1_goboard5(C) &  (v2_goboard5(C) & m2_finseq_1(C, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(k15_euclid(2))) =>  ( (r3_jordan4(C, D, A, B) &  (r3_jordan4(C, E, A, B) & k1_funct_1(D, 2)=k1_funct_1(E, 2)) )  =>  (A=B | D=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_jordan4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(k1_nat_1(B, 1), k3_finseq_1(A)) &  (r1_xxreal_0(1, C) & r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(A))) ) )  =>  (B=C |  (! [D] :  (m2_finseq_1(D, u1_struct_0(k15_euclid(2))) =>  (D=k2_jordan4(A, B, C) <=>  (r3_jordan4(A, D, B, C) &  ( ( ~ ( (r1_xxreal_0(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)), k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1)))) & r1_xxreal_0(k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)), k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1))))) )  => k1_funct_1(D, 2)=k1_funct_1(A, k1_nat_1(B, 1)))  &  ( (r1_xxreal_0(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)), k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1)))) & r1_xxreal_0(k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)), k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1)))))  => k1_funct_1(D, 2)=k1_funct_1(A, k1_jordan4(k7_nat_d(B, 1), A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_jordan4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(k1_nat_1(B, 1), k3_finseq_1(A)) &  (r1_xxreal_0(1, C) & r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(A))) ) )  =>  (B=C |  (! [D] :  (m2_finseq_1(D, u1_struct_0(k15_euclid(2))) =>  (D=k3_jordan4(A, B, C) <=>  (r3_jordan4(A, D, B, C) &  ( ( ~ ( (r1_xxreal_0(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1))), k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, B))) & r1_xxreal_0(k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1))), k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)))) )  => k1_funct_1(D, 2)=k1_funct_1(A, k1_nat_1(B, 1)))  &  ( (r1_xxreal_0(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1))), k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, B))) & r1_xxreal_0(k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1))), k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, B))))  => k1_funct_1(D, 2)=k1_funct_1(A, k1_jordan4(k7_nat_d(B, 1), A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_jordan4, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  => v7_ordinal1(k1_jordan4(A, B))) ) ).
fof(dt_k2_jordan4, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  &  (m1_subset_1(B, k4_ordinal1) & m1_subset_1(C, k4_ordinal1)) )  => m2_finseq_1(k2_jordan4(A, B, C), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k3_jordan4, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  &  (m1_subset_1(B, k4_ordinal1) & m1_subset_1(C, k4_ordinal1)) )  => m2_finseq_1(k3_jordan4(A, B, C), u1_struct_0(k15_euclid(2)))) ) ).
fof(fc1_jordan5a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v5_rltopsp1(k15_euclid(A)) & v1_borsuk_2(k15_euclid(A))) ) ) ).
fof(rc1_jordan5a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (m1_pre_topc(B, k15_euclid(A)) &  ( ~ (v2_struct_0(B))  &  (v1_pre_topc(B) &  (v2_pre_topc(B) &  (v6_pre_topc(B) &  (v7_pre_topc(B) &  (v8_pre_topc(B) & v1_compts_1(B)) ) ) ) ) ) ) ) ) ) ).
fof(rc2_jordan5a, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) &  ( ~ (v1_xboole_0(A))  &  (v1_membered(A) &  (v2_membered(A) &  (v3_membered(A) &  (v1_finset_1(A) & v5_xxreal_2(A)) ) ) ) ) ) ) ).
fof(fc2_jordan5a, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_rcomp_1(k1_xxreal_1(A, B))) ) ).
fof(cc1_jordan5a, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (v1_finset_1(A) => v1_rcomp_1(A)) ) ) ).
fof(t1_jordan5a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (r1_topreal1(k15_euclid(A), B, C, D) => v2_compts_1(D, k15_euclid(A))) ) ) ) ) ) ) ) ) ).
fof(t2_jordan5a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( (k3_rlvect_1(k15_euclid(A), k1_rlvect_1(k15_euclid(A), B, k6_xcmplx_0(1, D)), k1_rlvect_1(k15_euclid(A), C, D))=k3_rlvect_1(k15_euclid(A), k1_rlvect_1(k15_euclid(A), B, k6_xcmplx_0(1, E)), k1_rlvect_1(k15_euclid(A), C, E)) &  ( ~ (D=E)  &  ~ (B=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_jordan5a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  ~ ( ( ~ (B=C)  &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(A), k1_rltopsp1(k15_euclid(A), B, C)))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(A), k1_rltopsp1(k15_euclid(A), B, C))))))) )  =>  ~ ( ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k1_rcomp_1(k5_numbers, 1)) => k1_funct_1(D, E)=k3_rlvect_1(k15_euclid(A), k1_rlvect_1(k15_euclid(A), B, k6_xcmplx_0(1, E)), k1_rlvect_1(k15_euclid(A), C, E))) ) )  &  (v3_tops_2(D, k5_topmetr, k1_pre_topc(k15_euclid(A), k1_rltopsp1(k15_euclid(A), B, C))) &  (k1_funct_1(D, k5_numbers)=B & k1_funct_1(D, 1)=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_jordan5a, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_borsuk_2(C, k15_euclid(2), A, B) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v1_compts_1(D) & m1_pre_topc(D, k15_euclid(2))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k5_topmetr), u1_struct_0(D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(D))))) )  =>  ( (v2_funct_1(C) &  (r1_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(D), u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)), E, C) & k2_struct_0(D)=k2_relset_1(u1_struct_0(k15_euclid(2)), C)) )  => v3_tops_2(E, k5_topmetr, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_jordan5a, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (r2_tarski(A, k2_pcomps_1(k7_metric_1)) <=> v3_rcomp_1(A)) ) ) ).
fof(t6_jordan5a, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k3_topmetr), u1_struct_0(k3_topmetr)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_topmetr), u1_struct_0(k3_topmetr))))) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_topmetr)) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_tmap_1(k3_topmetr, k3_topmetr, A, B) &  (A=C & B=D) )  => r1_fcont_1(C, D)) ) ) ) ) ) ) ) ) ).
fof(t7_jordan5a, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k3_topmetr), u1_struct_0(k3_topmetr)) &  (v5_pre_topc(A, k3_topmetr, k3_topmetr) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_topmetr), u1_struct_0(k3_topmetr))))) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (A=B => v1_fcont_1(B)) ) ) ) ) ).
fof(t8_jordan5a, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v2_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k3_topmetr), u1_struct_0(k3_topmetr)) &  (v5_pre_topc(A, k3_topmetr, k3_topmetr) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_topmetr), u1_struct_0(k3_topmetr))))) ) ) )  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(k5_topmetr)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_topmetr)) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( (B=D &  (C=E &  ( ~ (r1_xxreal_0(E, D))  &  (F=k1_funct_1(A, B) &  (G=k1_funct_1(A, C) & r1_xxreal_0(G, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  |  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_topmetr)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_topmetr)) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( (B=D &  (C=E &  ( ~ (r1_xxreal_0(E, D))  &  (F=k1_funct_1(A, B) &  (G=k1_funct_1(A, C) & r1_xxreal_0(F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_jordan5a, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_topmetr(C, D))) =>  ( (r1_xxreal_0(C, D) &  (E=A & r1_tarski(k2_rcomp_1(k6_xcmplx_0(A, B), k2_xcmplx_0(A, B)), k1_rcomp_1(C, D))) )  => k2_rcomp_1(k6_xcmplx_0(A, B), k2_xcmplx_0(A, B))=k8_metric_1(k2_topmetr(C, D), E, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_jordan5a, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_numbers)) =>  (r2_tarski(C, k2_pcomps_1(k2_topmetr(A, B))) =>  (r1_xxreal_0(B, A) |  (r2_hidden(A, C) |  (r2_hidden(B, C) | v3_rcomp_1(C)) ) ) ) ) ) ) ) ) ) ).
fof(t11_jordan5a, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (r1_tarski(A, k1_rcomp_1(B, C)) =>  ( ~ (r2_hidden(B, A))  &  ~ (r2_hidden(C, A)) ) ) ) ) ) ) ) ) ).
fof(t12_jordan5a, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_numbers)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k2_topmetr(A, B)))) =>  ( (D=C & v3_rcomp_1(C))  => r2_tarski(D, k2_pcomps_1(k2_topmetr(A, B)))) ) ) ) ) ) ) ) ) ).
fof(t13_jordan5a, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k4_topmetr(A, B)), u1_struct_0(k4_topmetr(C, D))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_topmetr(A, B)), u1_struct_0(k4_topmetr(C, D)))))) )  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k4_topmetr(A, B))) =>  (! [H] :  ( (v1_funct_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tmap_1(k4_topmetr(A, B), k4_topmetr(C, D), F, G) &  (k1_funct_1(F, A)=C &  (k1_funct_1(F, B)=D &  (v2_funct_1(F) &  (F=H & G=E) ) ) ) )  =>  (r1_xxreal_0(B, A) |  (r1_xxreal_0(D, C) | r1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, H, k1_rcomp_1(A, B)), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_jordan5a, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k4_topmetr(A, B)), u1_struct_0(k4_topmetr(C, D))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_topmetr(A, B)), u1_struct_0(k4_topmetr(C, D)))))) )  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v5_pre_topc(E, k4_topmetr(A, B), k4_topmetr(C, D)) &  (v2_funct_1(E) &  (E=F &  (k1_funct_1(E, A)=C & k1_funct_1(E, B)=D) ) ) )  =>  (r1_xxreal_0(B, A) |  (r1_xxreal_0(D, C) | v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, F, k1_rcomp_1(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_jordan5a, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k4_topmetr(A, B)), u1_struct_0(k4_topmetr(C, D))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_topmetr(A, B)), u1_struct_0(k4_topmetr(C, D)))))) )  =>  ( (v5_pre_topc(E, k4_topmetr(A, B), k4_topmetr(C, D)) &  (v2_funct_1(E) &  (k1_funct_1(E, A)=C & k1_funct_1(E, B)=D) ) )  =>  (r1_xxreal_0(B, A) |  (r1_xxreal_0(D, C) |  (! [F] :  (m1_subset_1(F, u1_struct_0(k4_topmetr(A, B))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k4_topmetr(A, B))) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  (! [J] :  (v1_xreal_0(J) =>  (! [K] :  (v1_xreal_0(K) =>  ~ ( (F=H &  (G=I &  ( ~ (r1_xxreal_0(I, H))  &  (J=k3_funct_2(u1_struct_0(k4_topmetr(A, B)), u1_struct_0(k4_topmetr(C, D)), E, F) &  (K=k3_funct_2(u1_struct_0(k4_topmetr(A, B)), u1_struct_0(k4_topmetr(C, D)), E, G) & r1_xxreal_0(K, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_jordan5a, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v2_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k5_topmetr), u1_struct_0(k5_topmetr)) &  (v5_pre_topc(A, k5_topmetr, k5_topmetr) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k5_topmetr))))) ) ) )  =>  ( (k1_funct_1(A, k5_numbers)=k5_numbers & k1_funct_1(A, 1)=1)  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_topmetr)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_topmetr)) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( (B=D &  (C=E &  ( ~ (r1_xxreal_0(E, D))  &  (F=k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k5_topmetr), A, B) &  (G=k3_funct_2(u1_struct_0(k5_topmetr), u1_struct_0(k5_topmetr), A, C) & r1_xxreal_0(G, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_jordan5a, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k4_topmetr(A, B)), u1_struct_0(k4_topmetr(C, D))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_topmetr(A, B)), u1_struct_0(k4_topmetr(C, D)))))) )  =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  & m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k4_topmetr(A, B)))))  =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [H] :  (m1_subset_1(H, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  ( (G=F &  (v5_pre_topc(E, k4_topmetr(A, B), k4_topmetr(C, D)) &  (v2_funct_1(E) &  (v2_compts_1(G, k3_topmetr) &  (k1_funct_1(E, A)=C &  (k1_funct_1(E, B)=D & k7_relset_1(u1_struct_0(k4_topmetr(A, B)), u1_struct_0(k4_topmetr(C, D)), E, F)=H) ) ) ) ) )  =>  (r1_xxreal_0(B, A) |  (r1_xxreal_0(D, C) | k1_funct_1(E, k3_seq_4(k1_weierstr(G)))=k3_seq_4(k1_weierstr(H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_jordan5a, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k4_topmetr(A, B)), u1_struct_0(k4_topmetr(C, D))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_topmetr(A, B)), u1_struct_0(k4_topmetr(C, D)))))) )  =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  & m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k4_topmetr(A, B)))))  =>  (! [G] :  ( ( ~ (v1_xboole_0(G))  & m1_subset_1(G, k1_zfmisc_1(u1_struct_0(k4_topmetr(A, B)))))  =>  (! [H] :  (m1_subset_1(H, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  ( (H=F &  (I=G &  (v5_pre_topc(E, k4_topmetr(A, B), k4_topmetr(C, D)) &  (v2_funct_1(E) &  (v2_compts_1(H, k3_topmetr) &  (k1_funct_1(E, A)=C &  (k1_funct_1(E, B)=D & k7_relset_1(u1_struct_0(k4_topmetr(A, B)), u1_struct_0(k4_topmetr(C, D)), E, F)=G) ) ) ) ) ) )  =>  (r1_xxreal_0(B, A) |  (r1_xxreal_0(D, C) | k1_funct_1(E, k2_seq_4(k1_weierstr(H)))=k2_seq_4(k1_weierstr(I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_jordan5a, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) =>  (k3_seq_4(k1_rcomp_1(A, B))=A & k2_seq_4(k1_rcomp_1(A, B))=B) ) ) ) ) ) ).
fof(t20_jordan5a, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k4_topmetr(A, B)), u1_struct_0(k4_topmetr(C, D))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_topmetr(A, B)), u1_struct_0(k4_topmetr(C, D)))))) )  =>  ( (r1_xxreal_0(A, E) &  (r1_xxreal_0(F, B) &  (v3_tops_2(I, k4_topmetr(A, B), k4_topmetr(C, D)) &  (k1_funct_1(I, A)=C &  (k1_funct_1(I, B)=D &  (G=k1_funct_1(I, E) & H=k1_funct_1(I, F)) ) ) ) ) )  =>  (r1_xxreal_0(B, A) |  (r1_xxreal_0(D, C) |  (r1_xxreal_0(F, E) | k7_relset_1(u1_struct_0(k4_topmetr(A, B)), u1_struct_0(k4_topmetr(C, D)), I, k1_rcomp_1(E, F))=k1_rcomp_1(G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_jordan5a, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_xboole_0(A, B))  &  (v4_pre_topc(k9_subset_1(u1_struct_0(k15_euclid(2)), A, B), k15_euclid(2)) &  (r1_topreal1(k15_euclid(2), C, D, A) &  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(E, k9_subset_1(u1_struct_0(k15_euclid(2)), A, B)) &  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), A))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), A)))))) )  &  (? [G] :  (v1_xreal_0(G) &  (v3_tops_2(F, k5_topmetr, k1_pre_topc(k15_euclid(2), A)) &  (k1_funct_1(F, k5_numbers)=C &  (k1_funct_1(F, 1)=D &  (k1_funct_1(F, G)=E &  (r1_xxreal_0(k5_numbers, G) &  (r1_xxreal_0(G, 1) &  (! [H] :  (v1_xreal_0(H) =>  ~ ( (r1_xxreal_0(k5_numbers, H) &  ( ~ (r1_xxreal_0(G, H))  & r2_tarski(k1_funct_1(F, H), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_jordan5a, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (r1_xboole_0(A, B))  &  (v4_pre_topc(k9_subset_1(u1_struct_0(k15_euclid(2)), A, B), k15_euclid(2)) &  (r1_topreal1(k15_euclid(2), C, D, A) &  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(E, k9_subset_1(u1_struct_0(k15_euclid(2)), A, B)) &  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), A))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), A)))))) )  &  (? [G] :  (v1_xreal_0(G) &  (v3_tops_2(F, k5_topmetr, k1_pre_topc(k15_euclid(2), A)) &  (k1_funct_1(F, k5_numbers)=C &  (k1_funct_1(F, 1)=D &  (k1_funct_1(F, G)=E &  (r1_xxreal_0(k5_numbers, G) &  (r1_xxreal_0(G, 1) &  (! [H] :  (v1_xreal_0(H) =>  ~ ( (r1_xxreal_0(H, 1) &  ( ~ (r1_xxreal_0(H, G))  & r2_tarski(k1_funct_1(F, H), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_jordan5a, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (A=B =>  (v2_rcomp_1(A) <=> v4_pre_topc(B, k3_topmetr)) ) ) ) ) ) ).
fof(t24_jordan5a, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (A=B => k5_measure6(A)=k2_pre_topc(k3_topmetr, B)) ) ) ) ) ).
fof(t25_jordan5a, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (A=B =>  (v1_rcomp_1(A) <=> v2_compts_1(B, k3_topmetr)) ) ) ) ) ) ).
fof(t26_jordan5a, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (A=B)  <=> k5_measure6(k2_rcomp_1(A, B))=k1_rcomp_1(A, B)) ) ) ) ) ).
fof(t27_jordan5a, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  (r1_funct_2(u1_struct_0(A), k1_numbers, u1_struct_0(A), u1_struct_0(k3_topmetr), B, C) =>  (v1_pscomp_1(B, A) <=> v5_pre_topc(C, A, k3_topmetr)) ) ) ) ) ) ) ) ).
fof(t1_jordan5b, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, k7_nat_d(A, 1))) ) ) ) ).
fof(t2_jordan5b, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(k1_nat_1(A, 1), B) => r1_xxreal_0(1, k7_nat_d(B, A))) ) ) ) ) ).
fof(t3_jordan5b, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(1, B))  => r1_xxreal_0(k1_nat_1(k7_nat_d(B, A), 1), B)) ) ) ) ) ).
fof(t4_jordan5b, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r2_hidden(A, u1_struct_0(k17_borsuk_1)) => r2_tarski(k6_xcmplx_0(1, A), u1_struct_0(k17_borsuk_1))) ) ) ).
fof(t5_jordan5b, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(C, k1_rltopsp1(k15_euclid(2), A, B)) & k18_euclid(C)=k18_euclid(A))  =>  (k18_euclid(A)=k18_euclid(B) | C=A) ) ) ) ) ) ) ) ).
fof(t6_jordan5b, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(C, k1_rltopsp1(k15_euclid(2), A, B)) & k17_euclid(C)=k17_euclid(A))  =>  (k17_euclid(A)=k17_euclid(B) | C=A) ) ) ) ) ) ) ) ).
fof(t7_jordan5b, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k17_borsuk_1), u1_struct_0(k1_pre_topc(k15_euclid(2), B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_borsuk_1), u1_struct_0(k1_pre_topc(k15_euclid(2), B)))))) )  =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(k1_nat_1(D, 1), k3_finseq_1(A)) &  (v4_topreal1(A) &  (B=k3_topreal1(2, A) &  (v3_tops_2(C, k17_borsuk_1, k1_pre_topc(k15_euclid(2), B)) &  (k1_funct_1(C, k5_numbers)=k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1) &  (k1_funct_1(C, 1)=k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A)) &  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  (r1_xxreal_0(k5_numbers, E) &  (r1_xxreal_0(E, 1) &  (r1_xxreal_0(k5_numbers, F) &  (r1_xxreal_0(F, 1) &  (k2_topreal1(2, A, D)=k7_relset_1(u1_struct_0(k17_borsuk_1), u1_struct_0(k1_pre_topc(k15_euclid(2), B)), C, k1_rcomp_1(E, F)) &  (k1_funct_1(C, E)=k7_partfun1(u1_struct_0(k15_euclid(2)), A, D) & k1_funct_1(C, F)=k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(D, 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_jordan5b, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k17_borsuk_1), u1_struct_0(k1_pre_topc(k15_euclid(2), B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_borsuk_1), u1_struct_0(k1_pre_topc(k15_euclid(2), B)))))) )  =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  & m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k17_borsuk_1))))  =>  ~ ( (v4_topreal1(A) &  (v3_tops_2(D, k17_borsuk_1, k1_pre_topc(k15_euclid(2), B)) &  (k1_funct_1(D, k5_numbers)=k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1) &  (k1_funct_1(D, 1)=k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A)) &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(k1_nat_1(E, 1), k3_finseq_1(A)) &  (k7_relset_1(u1_struct_0(k17_borsuk_1), u1_struct_0(k1_pre_topc(k15_euclid(2), B)), D, F)=k2_topreal1(2, A, E) &  (B=k3_topreal1(2, A) &  (C=k2_topreal1(2, A, E) &  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(k1_pre_topc(k17_borsuk_1, F)), u1_struct_0(k1_pre_topc(k15_euclid(2), C))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k17_borsuk_1, F)), u1_struct_0(k1_pre_topc(k15_euclid(2), C)))))) )  =>  ~ ( (G=k2_partfun1(u1_struct_0(k17_borsuk_1), u1_struct_0(k1_pre_topc(k15_euclid(2), B)), D, F) & v3_tops_2(G, k1_pre_topc(k17_borsuk_1, F), k1_pre_topc(k15_euclid(2), C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_jordan5b, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(C, k1_rltopsp1(k15_euclid(2), A, B)) =>  (A=B | r2_jordan3(A, B, C, C)) ) ) ) ) ) ) ) ).
fof(t10_jordan5b, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(A, k1_rltopsp1(k15_euclid(2), B, C)) =>  (B=C | r2_jordan3(B, C, B, A)) ) ) ) ) ) ) ) ).
fof(t11_jordan5b, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(A, k1_rltopsp1(k15_euclid(2), B, C)) =>  (B=C | r2_jordan3(B, C, A, C)) ) ) ) ) ) ) ) ).
fof(t12_jordan5b, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ( (r2_jordan3(A, B, C, D) & r2_jordan3(A, B, D, E))  =>  (A=B | r2_jordan3(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_jordan5b, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (r1_topreal1(k15_euclid(A), C, D, B) => r1_topreal1(k15_euclid(A), D, C, B)) ) ) ) ) ) ) ) ) ).
fof(t15_jordan5b, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (v4_topreal1(B) &  (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(B)) & C=k2_topreal1(2, B, A)) ) )  => r1_topreal1(k15_euclid(2), k7_partfun1(u1_struct_0(k15_euclid(2)), B, A), k7_partfun1(u1_struct_0(k15_euclid(2)), B, k1_nat_1(A, 1)), C)) ) ) ) ) ) ) ).
fof(t16_jordan5b, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k3_finseq_1(A)) &  (v4_topreal1(A) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1), k3_topreal1(2, k3_finseq_6(u1_struct_0(k15_euclid(2)), A, B, k3_finseq_1(A))))) ) )  => B=1) ) ) ) ) ).
fof(t17_jordan5b, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (v4_topreal1(A) & B=k1_funct_1(A, k3_finseq_1(A)))  => k2_jordan3(A, B)=k13_matrix_0(u1_struct_0(k15_euclid(2)), B)) ) ) ) ) ).
fof(t18_jordan5b, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(B, k3_topreal1(2, A)) & v4_topreal1(A))  =>  (B=k1_funct_1(A, k3_finseq_1(A)) | k1_jordan3(k2_jordan3(A, B), B)=1) ) ) ) ) ) ).
fof(t19_jordan5b, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(B, k3_topreal1(2, A)) & v4_topreal1(A))  =>  (B=k1_funct_1(A, k3_finseq_1(A)) | r2_tarski(B, k3_topreal1(2, k2_jordan3(A, B)))) ) ) ) ) ) ).
fof(t20_jordan5b, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(B, k3_topreal1(2, A)) & v4_topreal1(A))  =>  (B=k1_funct_1(A, 1) | r2_tarski(B, k3_topreal1(2, k3_jordan3(A, B)))) ) ) ) ) ) ).
fof(t21_jordan5b, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(B, k3_topreal1(2, A)) & v2_funct_1(A))  => k4_jordan3(A, B, B)=k13_matrix_0(u1_struct_0(k15_euclid(2)), B)) ) ) ) ) ).
fof(t22_jordan5b, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(B, k3_topreal1(2, A)) &  (r2_tarski(C, k3_topreal1(2, A)) &  (B=k1_funct_1(A, k3_finseq_1(A)) & v4_topreal1(A)) ) )  =>  (C=k1_funct_1(A, k3_finseq_1(A)) | r2_tarski(B, k3_topreal1(2, k2_jordan3(A, C)))) ) ) ) ) ) ) ) ).
fof(t23_jordan5b, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( ( ~ (B=k1_funct_1(A, k3_finseq_1(A)))  &  (r2_tarski(B, k3_topreal1(2, A)) &  (r2_tarski(C, k3_topreal1(2, A)) &  (v4_topreal1(A) &  ( ~ (r2_tarski(B, k3_topreal1(2, k2_jordan3(A, C))))  &  ~ (r2_tarski(C, k3_topreal1(2, k2_jordan3(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_jordan5b, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(B, k3_topreal1(2, A)) &  (r2_tarski(C, k3_topreal1(2, A)) & v4_topreal1(A)) )  => r1_tarski(k3_topreal1(2, k4_jordan3(A, B, C)), k3_topreal1(2, A))) ) ) ) ) ) ) ).
fof(t25_jordan5b, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(C, k3_finseq_1(k2_goboard2(A))))  =>  (r1_xxreal_0(C, B) | k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, k1_matrix_0(k2_goboard2(A))), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), B, k1_matrix_0(k2_goboard2(A)))), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), C, k1_matrix_0(k2_goboard2(A))), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k3_finseq_1(k2_goboard2(A)), k1_matrix_0(k2_goboard2(A)))))=k1_xboole_0) ) ) ) ) ) ) ) ).
fof(t26_jordan5b, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(C, k1_matrix_0(k2_goboard2(A))))  =>  (r1_xxreal_0(C, B) | k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k3_finseq_1(k2_goboard2(A)), 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k3_finseq_1(k2_goboard2(A)), B)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k3_finseq_1(k2_goboard2(A)), C), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k3_finseq_1(k2_goboard2(A)), k1_matrix_0(k2_goboard2(A)))))=k1_xboole_0) ) ) ) ) ) ) ) ).
fof(t27_jordan5b, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (v4_topreal1(A) => k2_jordan3(A, k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1))=A) ) ) ).
fof(t28_jordan5b, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (v4_topreal1(A) => k3_jordan3(A, k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A)))=A) ) ) ).
fof(t29_jordan5b, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k3_topreal1(2, A)) => r2_tarski(B, k1_rltopsp1(k15_euclid(2), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_jordan3(A, B)), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(k1_jordan3(A, B), 1))))) ) ) ) ) ).
fof(t30_jordan5b, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (v7_ordinal1(B) =>  ( (v2_topreal1(A) &  (v3_topreal1(A) &  (v2_funct_1(A) &  (r1_xxreal_0(2, k3_finseq_1(A)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1), k2_topreal1(2, A, B))) ) ) )  => B=1) ) ) ) ) ).
fof(t31_jordan5b, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k1_matrix_0(k2_goboard2(A))) & C=k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k3_finseq_1(k2_goboard2(A)), B))) )  => r1_topreal4(C, k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, B), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k3_finseq_1(k2_goboard2(A)), B))) ) ) ) ) ) ) ).
fof(t32_jordan5b, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k3_finseq_1(k2_goboard2(A))) & C=k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), B, 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), B, k1_matrix_0(k2_goboard2(A))))) )  => r1_topreal4(C, k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), B, 1), k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), B, k1_matrix_0(k2_goboard2(A))))) ) ) ) ) ) ) ).
fof(t33_jordan5b, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(B, k3_topreal1(2, A)) & r2_tarski(C, k3_topreal1(2, A)))  =>  ( (r1_xxreal_0(k1_jordan3(A, C), k1_jordan3(A, B)) &  ~ ( (k1_jordan3(A, B)=k1_jordan3(A, C) & r2_jordan3(k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_jordan3(A, B)), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(k1_jordan3(A, B), 1)), B, C)) ) )  |  (B=C | r1_tarski(k3_topreal1(2, k4_jordan3(A, B, C)), k3_topreal1(2, A))) ) ) ) ) ) ) ) ) ).
fof(t13_jordan5b, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( ~ (A=B)  => k1_rltopsp1(k15_euclid(2), A, B)=a_2_0_jordan5b(A, B)) ) ) ) ) ).
fof(fraenkel_a_2_0_jordan5b, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, u1_struct_0(k15_euclid(2))) & m1_subset_1(C, u1_struct_0(k15_euclid(2))))  =>  (r2_hidden(A, a_2_0_jordan5b(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) &  (A=D &  (r2_jordan3(B, C, B, D) & r2_jordan3(B, C, D, C)) ) ) ) ) ) ) ).
fof(t1_jordan5c, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), A))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), A)))))) )  =>  (! [G] :  (v1_xreal_0(G) =>  ( (r2_tarski(E, A) &  (k1_funct_1(F, G)=E &  (v3_tops_2(F, k5_topmetr, k1_pre_topc(k15_euclid(2), A)) &  (k1_funct_1(F, k5_numbers)=C &  (k1_funct_1(F, 1)=D &  (r1_xxreal_0(k5_numbers, G) &  (r1_xxreal_0(G, 1) &  (! [H] :  (v1_xreal_0(H) =>  ~ ( (r1_xxreal_0(k5_numbers, H) &  ( ~ (r1_xxreal_0(G, H))  & r2_tarski(k1_funct_1(F, H), B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), A))) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), A)))))) )  =>  (! [I] :  (v1_xreal_0(I) =>  ( (v3_tops_2(H, k5_topmetr, k1_pre_topc(k15_euclid(2), A)) &  (k1_funct_1(H, k5_numbers)=C &  (k1_funct_1(H, 1)=D &  (k1_funct_1(H, I)=E &  (r1_xxreal_0(k5_numbers, I) & r1_xxreal_0(I, 1)) ) ) ) )  =>  (! [J] :  (v1_xreal_0(J) =>  ~ ( (r1_xxreal_0(k5_numbers, J) &  ( ~ (r1_xxreal_0(I, J))  & r2_tarski(k1_funct_1(H, J), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_jordan5c, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (v4_pre_topc(k9_subset_1(u1_struct_0(k15_euclid(2)), A, B), k15_euclid(2)) & r1_topreal1(k15_euclid(2), C, D, A))  =>  (r1_xboole_0(A, B) |  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (E=k1_jordan5c(A, B, C, D) <=>  (r2_tarski(E, k9_subset_1(u1_struct_0(k15_euclid(2)), A, B)) &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), A))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), A)))))) )  =>  (! [G] :  (v1_xreal_0(G) =>  ( (v3_tops_2(F, k5_topmetr, k1_pre_topc(k15_euclid(2), A)) &  (k1_funct_1(F, k5_numbers)=C &  (k1_funct_1(F, 1)=D &  (k1_funct_1(F, G)=E &  (r1_xxreal_0(k5_numbers, G) & r1_xxreal_0(G, 1)) ) ) ) )  =>  (! [H] :  (v1_xreal_0(H) =>  ~ ( (r1_xxreal_0(k5_numbers, H) &  ( ~ (r1_xxreal_0(G, H))  & r2_tarski(k1_funct_1(F, H), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_jordan5c, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(C, A) &  (r1_topreal1(k15_euclid(2), D, E, A) & B=k1_tarski(C)) )  => k1_jordan5c(A, B, D, E)=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_jordan5c, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(C, B) &  (v4_pre_topc(k9_subset_1(u1_struct_0(k15_euclid(2)), A, B), k15_euclid(2)) & r1_topreal1(k15_euclid(2), C, D, A)) )  => k1_jordan5c(A, B, C, D)=C) ) ) ) ) ) ) ) ) ).
fof(t4_jordan5c, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), A))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), A)))))) )  =>  (! [G] :  (v1_xreal_0(G) =>  ( (r2_tarski(E, A) &  (k1_funct_1(F, G)=E &  (v3_tops_2(F, k5_topmetr, k1_pre_topc(k15_euclid(2), A)) &  (k1_funct_1(F, k5_numbers)=C &  (k1_funct_1(F, 1)=D &  (r1_xxreal_0(k5_numbers, G) &  (r1_xxreal_0(G, 1) &  (! [H] :  (v1_xreal_0(H) =>  ~ ( (r1_xxreal_0(H, 1) &  ( ~ (r1_xxreal_0(H, G))  & r2_tarski(k1_funct_1(F, H), B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), A))) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), A)))))) )  =>  (! [I] :  (v1_xreal_0(I) =>  ( (v3_tops_2(H, k5_topmetr, k1_pre_topc(k15_euclid(2), A)) &  (k1_funct_1(H, k5_numbers)=C &  (k1_funct_1(H, 1)=D &  (k1_funct_1(H, I)=E &  (r1_xxreal_0(k5_numbers, I) & r1_xxreal_0(I, 1)) ) ) ) )  =>  (! [J] :  (v1_xreal_0(J) =>  ~ ( (r1_xxreal_0(J, 1) &  ( ~ (r1_xxreal_0(J, I))  & r2_tarski(k1_funct_1(H, J), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_jordan5c, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (v4_pre_topc(k9_subset_1(u1_struct_0(k15_euclid(2)), A, B), k15_euclid(2)) & r1_topreal1(k15_euclid(2), C, D, A))  =>  (r1_xboole_0(A, B) |  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (E=k2_jordan5c(A, B, C, D) <=>  (r2_tarski(E, k9_subset_1(u1_struct_0(k15_euclid(2)), A, B)) &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), A))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), A)))))) )  =>  (! [G] :  (v1_xreal_0(G) =>  ( (v3_tops_2(F, k5_topmetr, k1_pre_topc(k15_euclid(2), A)) &  (k1_funct_1(F, k5_numbers)=C &  (k1_funct_1(F, 1)=D &  (k1_funct_1(F, G)=E &  (r1_xxreal_0(k5_numbers, G) & r1_xxreal_0(G, 1)) ) ) ) )  =>  (! [H] :  (v1_xreal_0(H) =>  ~ ( (r1_xxreal_0(H, 1) &  ( ~ (r1_xxreal_0(H, G))  & r2_tarski(k1_funct_1(F, H), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_jordan5c, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(C, A) &  (r1_topreal1(k15_euclid(2), D, E, A) & B=k1_tarski(C)) )  => k2_jordan5c(A, B, D, E)=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_jordan5c, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(D, B) &  (v4_pre_topc(k9_subset_1(u1_struct_0(k15_euclid(2)), A, B), k15_euclid(2)) & r1_topreal1(k15_euclid(2), C, D, A)) )  => k2_jordan5c(A, B, C, D)=D) ) ) ) ) ) ) ) ) ).
fof(t7_jordan5c, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r1_tarski(A, B) &  (v4_pre_topc(A, k15_euclid(2)) & r1_topreal1(k15_euclid(2), C, D, A)) )  =>  (k1_jordan5c(A, B, C, D)=C & k2_jordan5c(A, B, C, D)=D) ) ) ) ) ) ) ) ) ) ).
fof(d3_jordan5c, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (r1_jordan5c(A, B, C, D, E) <=>  (r2_tarski(D, A) &  (r2_tarski(E, A) &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), A))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), A)))))) )  =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (v3_tops_2(F, k5_topmetr, k1_pre_topc(k15_euclid(2), A)) &  (k1_funct_1(F, k5_numbers)=B &  (k1_funct_1(F, 1)=C &  (k1_funct_1(F, G)=D &  (r1_xxreal_0(k5_numbers, G) &  (r1_xxreal_0(G, 1) &  (k1_funct_1(F, H)=E &  (r1_xxreal_0(k5_numbers, H) & r1_xxreal_0(H, 1)) ) ) ) ) ) ) )  => r1_xxreal_0(G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_jordan5c, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), A))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(2), A)))))) )  =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (r1_topreal1(k15_euclid(2), B, C, A) &  (v3_tops_2(F, k5_topmetr, k1_pre_topc(k15_euclid(2), A)) &  (k1_funct_1(F, k5_numbers)=B &  (k1_funct_1(F, 1)=C &  (k1_funct_1(F, G)=D &  (r1_xxreal_0(k5_numbers, G) &  (r1_xxreal_0(G, 1) &  (k1_funct_1(F, H)=E &  (r1_xxreal_0(k5_numbers, H) &  (r1_xxreal_0(H, 1) & r1_xxreal_0(G, H)) ) ) ) ) ) ) ) ) )  => r1_jordan5c(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_jordan5c, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(D, A) => r1_jordan5c(A, B, C, D, D)) ) ) ) ) ) ) ) ) ).
fof(t10_jordan5c, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r1_topreal1(k15_euclid(2), B, C, A) & r2_tarski(D, A))  =>  (r1_jordan5c(A, B, C, B, D) & r1_jordan5c(A, B, C, D, C)) ) ) ) ) ) ) ) ) ) ).
fof(t11_jordan5c, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r1_topreal1(k15_euclid(2), B, C, A) => r1_jordan5c(A, B, C, B, C)) ) ) ) ) ) ) ).
fof(t12_jordan5c, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ( (r1_topreal1(k15_euclid(2), B, C, A) &  (r1_jordan5c(A, B, C, D, E) & r1_jordan5c(A, B, C, E, D)) )  => D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_jordan5c, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  ( (r1_jordan5c(A, B, C, D, E) & r1_jordan5c(A, B, C, E, F))  => r1_jordan5c(A, B, C, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_jordan5c, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_topreal1(k15_euclid(2), B, C, A) &  (r2_tarski(D, A) &  (r2_tarski(E, A) &  ( ~ (D=E)  &  ( ~ ( (r1_jordan5c(A, B, C, D, E) &  ~ (r1_jordan5c(A, B, C, E, D)) ) )  &  ~ ( (r1_jordan5c(A, B, C, E, D) &  ~ (r1_jordan5c(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_jordan5c, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (v4_topreal1(A) &  (v4_pre_topc(k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A), B), k15_euclid(2)) &  (r2_tarski(C, k3_topreal1(2, A)) & r2_tarski(C, B)) ) )  => r1_jordan5c(k3_topreal1(2, A), k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A)), k1_jordan5c(k3_topreal1(2, A), B, k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))), C)) ) ) ) ) ) ) ).
fof(t16_jordan5c, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (v4_topreal1(A) &  (v4_pre_topc(k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A), B), k15_euclid(2)) &  (r2_tarski(C, k3_topreal1(2, A)) & r2_tarski(C, B)) ) )  => r1_jordan5c(k3_topreal1(2, A), k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A)), C, k2_jordan5c(k3_topreal1(2, A), B, k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))))) ) ) ) ) ) ) ).
fof(t17_jordan5c, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r1_jordan5c(k1_rltopsp1(k15_euclid(2), C, D), C, D, A, B) =>  (C=D | r2_jordan3(C, D, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t18_jordan5c, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r1_topreal1(k15_euclid(2), C, D, A) & v4_pre_topc(k9_subset_1(u1_struct_0(k15_euclid(2)), A, B), k15_euclid(2)))  =>  (r1_xboole_0(A, B) |  (k1_jordan5c(A, B, C, D)=k2_jordan5c(A, B, D, C) & k2_jordan5c(A, B, C, D)=k1_jordan5c(A, B, D, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_jordan5c, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (v7_ordinal1(C) =>  ( (v4_pre_topc(B, k15_euclid(2)) &  (v4_topreal1(A) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(A)) & r2_tarski(k1_jordan5c(k3_topreal1(2, A), B, k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))), k2_topreal1(2, A, C))) ) ) )  =>  (r1_xboole_0(k3_topreal1(2, A), B) | k1_jordan5c(k3_topreal1(2, A), B, k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A)))=k1_jordan5c(k2_topreal1(2, A, C), B, k7_partfun1(u1_struct_0(k15_euclid(2)), A, C), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(C, 1)))) ) ) ) ) ) ) ) ).
fof(t20_jordan5c, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (v7_ordinal1(C) =>  ( (v4_pre_topc(B, k15_euclid(2)) &  (v4_topreal1(A) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(A)) & r2_tarski(k2_jordan5c(k3_topreal1(2, A), B, k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))), k2_topreal1(2, A, C))) ) ) )  =>  (r1_xboole_0(k3_topreal1(2, A), B) | k2_jordan5c(k3_topreal1(2, A), B, k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A)))=k2_jordan5c(k2_topreal1(2, A, C), B, k7_partfun1(u1_struct_0(k15_euclid(2)), A, C), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(C, 1)))) ) ) ) ) ) ) ) ).
fof(t21_jordan5c, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(k1_nat_1(B, 1), k3_finseq_1(A)) &  (v4_topreal1(A) & r2_tarski(k1_jordan5c(k3_topreal1(2, A), k2_topreal1(2, A, B), k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))), k2_topreal1(2, A, B))) ) )  => k1_jordan5c(k3_topreal1(2, A), k2_topreal1(2, A, B), k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A)))=k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)) ) ) ) ) ).
fof(t22_jordan5c, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(k1_nat_1(B, 1), k3_finseq_1(A)) &  (v4_topreal1(A) & r2_tarski(k2_jordan5c(k3_topreal1(2, A), k2_topreal1(2, A, B), k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))), k2_topreal1(2, A, B))) ) )  => k2_jordan5c(k3_topreal1(2, A), k2_topreal1(2, A, B), k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A)))=k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1))) ) ) ) ) ).
fof(t23_jordan5c, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (v7_ordinal1(B) =>  ( (v4_topreal1(A) &  (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 1), k3_finseq_1(A))) )  => r1_jordan5c(k3_topreal1(2, A), k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A)), k7_partfun1(u1_struct_0(k15_euclid(2)), A, B), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1)))) ) ) ) ) ).
fof(t24_jordan5c, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (v4_topreal1(A) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, C) & r1_xxreal_0(C, k3_finseq_1(A))) ) )  => r1_jordan5c(k3_topreal1(2, A), k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A)), k7_partfun1(u1_struct_0(k15_euclid(2)), A, B), k7_partfun1(u1_struct_0(k15_euclid(2)), A, C))) ) ) ) ) ) ) ).
fof(t25_jordan5c, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v7_ordinal1(C) =>  ( (v4_topreal1(A) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(A)) & r2_tarski(B, k2_topreal1(2, A, C))) ) )  => r1_jordan5c(k3_topreal1(2, A), k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A)), k7_partfun1(u1_struct_0(k15_euclid(2)), A, C), B)) ) ) ) ) ) ) ).
fof(t26_jordan5c, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v7_ordinal1(C) =>  ( (v4_topreal1(A) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(A)) & r2_tarski(B, k2_topreal1(2, A, C))) ) )  => r1_jordan5c(k3_topreal1(2, A), k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A)), B, k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(C, 1)))) ) ) ) ) ) ) ).
fof(t27_jordan5c, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (v4_topreal1(A) &  (v4_pre_topc(B, k15_euclid(2)) &  (r2_tarski(k1_jordan5c(k3_topreal1(2, A), B, k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))), k2_topreal1(2, A, D)) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(k1_nat_1(D, 1), k3_finseq_1(A)) &  (r2_tarski(C, k2_topreal1(2, A, E)) &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(k1_nat_1(E, 1), k3_finseq_1(A)) & r2_tarski(C, B)) ) ) ) ) ) ) )  =>  (r1_xboole_0(k3_topreal1(2, A), B) |  (k1_jordan5c(k3_topreal1(2, A), B, k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A)))=C |  (r1_xxreal_0(D, E) &  (D=E => r2_jordan3(k7_partfun1(u1_struct_0(k15_euclid(2)), A, D), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(D, 1)), k1_jordan5c(k3_topreal1(2, A), B, k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_jordan5c, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (v4_topreal1(A) &  (v4_pre_topc(B, k15_euclid(2)) &  (r2_tarski(k2_jordan5c(k3_topreal1(2, A), B, k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))), k2_topreal1(2, A, D)) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(k1_nat_1(D, 1), k3_finseq_1(A)) &  (r2_tarski(C, k2_topreal1(2, A, E)) &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(k1_nat_1(E, 1), k3_finseq_1(A)) & r2_tarski(C, B)) ) ) ) ) ) ) )  =>  (r1_xboole_0(k3_topreal1(2, A), B) |  (k2_jordan5c(k3_topreal1(2, A), B, k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A)))=C |  (r1_xxreal_0(E, D) &  (D=E => r2_jordan3(k7_partfun1(u1_struct_0(k15_euclid(2)), A, D), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(D, 1)), C, k2_jordan5c(k3_topreal1(2, A), B, k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_jordan5c, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(B, k2_topreal1(2, A, D)) &  (r2_tarski(C, k2_topreal1(2, A, D)) &  (v4_topreal1(A) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(k1_nat_1(D, 1), k3_finseq_1(A)) & r1_jordan5c(k3_topreal1(2, A), k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A)), B, C)) ) ) ) )  => r1_jordan5c(k2_topreal1(2, A, D), k7_partfun1(u1_struct_0(k15_euclid(2)), A, D), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(D, 1)), B, C)) ) ) ) ) ) ) ) ) ).
fof(t30_jordan5c, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(B, k3_topreal1(2, A)) &  (r2_tarski(C, k3_topreal1(2, A)) & v4_topreal1(A)) )  =>  (B=C |  (r1_jordan5c(k3_topreal1(2, A), k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A)), B, C) <=>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(B, k2_topreal1(2, A, D)) &  (r2_tarski(C, k2_topreal1(2, A, E)) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(k1_nat_1(D, 1), k3_finseq_1(A)) &  (r1_xxreal_0(1, E) & r1_xxreal_0(k1_nat_1(E, 1), k3_finseq_1(A))) ) ) ) )  =>  (r1_xxreal_0(D, E) &  (D=E => r2_jordan3(k7_partfun1(u1_struct_0(k15_euclid(2)), A, D), k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(D, 1)), B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_jordan5c, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) & m1_subset_1(D, u1_struct_0(k15_euclid(2)))) ) )  => m1_subset_1(k1_jordan5c(A, B, C, D), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k2_jordan5c, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) & m1_subset_1(D, u1_struct_0(k15_euclid(2)))) ) )  => m1_subset_1(k2_jordan5c(A, B, C, D), u1_struct_0(k15_euclid(2)))) ) ).
fof(t1_jordan5d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(A))) =>  (r1_xxreal_0(2, k3_finseq_1(B)) => r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(A)), B, k3_finseq_1(B)), k2_topreal1(A, B, k7_nat_d(k3_finseq_1(B), 1)))) ) ) ) ) ).
fof(t2_jordan5d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(3, A) => k4_nat_d(A, k7_nat_d(A, 1))=1) ) ) ).
fof(t3_jordan5d, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v3_funct_1(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(B) &  (v2_topreal1(B) &  (v1_goboard5(B) &  (v2_goboard5(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ~ ( (r2_tarski(A, k10_xtuple_0(B)) &  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(B)) & k1_funct_1(B, C)=A) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_jordan5d, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (r2_hidden(A, k10_xtuple_0(B)) =>  (r1_xxreal_0(k1_funct_1(k26_seq_4(B), 1), A) & r1_xxreal_0(A, k1_funct_1(k26_seq_4(B), k3_finseq_1(k26_seq_4(B))))) ) ) ) ) ) ).
fof(t5_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(A)) &  (r1_xxreal_0(1, B) & r1_xxreal_0(B, k1_matrix_0(k2_goboard2(A)))) ) )  =>  (r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, B)), k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, C))) & r1_xxreal_0(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, C)), k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k3_finseq_1(k2_goboard2(A)), B)))) ) ) ) ) ) ) ) ).
fof(t6_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(A)) &  (r1_xxreal_0(1, B) & r1_xxreal_0(B, k3_finseq_1(k2_goboard2(A)))) ) )  =>  (r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), B, 1)), k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, C))) & r1_xxreal_0(k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, C)), k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), B, k1_matrix_0(k2_goboard2(A)))))) ) ) ) ) ) ) ) ).
fof(t7_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k3_finseq_1(k2_goboard2(A))) &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(C, k4_finseq_1(A)) &  (r2_hidden(k4_tarski(B, D), k2_matrix_0(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k1_matrix_0(k2_goboard2(A))) &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(C, k4_finseq_1(A)) &  (r2_hidden(k4_tarski(D, B), k2_matrix_0(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), D, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k3_finseq_1(k2_goboard2(A))) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(k2_goboard2(A))) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(D, k4_finseq_1(A)) &  (r2_hidden(k4_tarski(B, C), k2_matrix_0(k2_goboard2(A))) & k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, D))=k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k3_finseq_1(k2_goboard2(A))) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(k2_goboard2(A))) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(D, k4_finseq_1(A)) &  (r2_hidden(k4_tarski(B, C), k2_matrix_0(k2_goboard2(A))) & k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, D))=k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(B, k3_finseq_1(A)))  =>  (r1_xxreal_0(k9_pscomp_1(k3_topreal1(2, A)), k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, B))) & r1_xxreal_0(k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)), k7_pscomp_1(k3_topreal1(2, A)))) ) ) ) ) ) ).
fof(t12_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(B, k3_finseq_1(A)))  =>  (r1_xxreal_0(k6_pscomp_1(k3_topreal1(2, A)), k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, B))) & r1_xxreal_0(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)), k8_pscomp_1(k3_topreal1(2, A)))) ) ) ) ) ) ).
fof(t31_jordan5d, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v3_funct_1(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(B) &  (v2_topreal1(B) &  (v1_goboard5(B) &  (v2_goboard5(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( (r2_tarski(A, k3_topreal1(2, B)) &  (r1_xxreal_0(1, C) & r1_xxreal_0(C, k1_matrix_0(k2_goboard2(B)))) )  => r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(B), 1, C)), k17_euclid(A))) ) ) ) ) ) ) ).
fof(t32_jordan5d, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v3_funct_1(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(B) &  (v2_topreal1(B) &  (v1_goboard5(B) &  (v2_goboard5(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( (r2_tarski(A, k3_topreal1(2, B)) &  (r1_xxreal_0(1, C) & r1_xxreal_0(C, k1_matrix_0(k2_goboard2(B)))) )  => r1_xxreal_0(k17_euclid(A), k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(B), k3_finseq_1(k2_goboard2(B)), C)))) ) ) ) ) ) ) ).
fof(t33_jordan5d, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v3_funct_1(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(B) &  (v2_topreal1(B) &  (v1_goboard5(B) &  (v2_goboard5(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( (r2_tarski(A, k3_topreal1(2, B)) &  (r1_xxreal_0(1, C) & r1_xxreal_0(C, k3_finseq_1(k2_goboard2(B)))) )  => r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(B), C, 1)), k18_euclid(A))) ) ) ) ) ) ) ).
fof(t34_jordan5d, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v3_funct_1(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(B) &  (v2_topreal1(B) &  (v1_goboard5(B) &  (v2_goboard5(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( (r2_tarski(A, k3_topreal1(2, B)) &  (r1_xxreal_0(1, C) & r1_xxreal_0(C, k3_finseq_1(k2_goboard2(B)))) )  => r1_xxreal_0(k18_euclid(A), k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(B), C, k1_matrix_0(k2_goboard2(B)))))) ) ) ) ) ) ) ).
fof(t35_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k3_finseq_1(k2_goboard2(A))) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(k2_goboard2(A))) &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ ( (k17_euclid(D)=k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), B, C)) & r2_tarski(D, k3_topreal1(2, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k3_finseq_1(k2_goboard2(A))) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(k2_goboard2(A))) &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ ( (k18_euclid(D)=k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), B, C)) & r2_tarski(D, k3_topreal1(2, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => k6_pscomp_1(k3_topreal1(2, A))=k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, 1))) ) ).
fof(t38_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => k9_pscomp_1(k3_topreal1(2, A))=k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, 1))) ) ).
fof(t39_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => k8_pscomp_1(k3_topreal1(2, A))=k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k3_finseq_1(k2_goboard2(A)), 1))) ) ).
fof(t40_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => k7_pscomp_1(k3_topreal1(2, A))=k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, k1_matrix_0(k2_goboard2(A))))) ) ).
fof(d1_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (B=k1_jordan5d(A) <=>  (r2_hidden(k4_tarski(1, B), k2_matrix_0(k2_goboard2(A))) & k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, B)=k18_pscomp_1(k3_topreal1(2, A))) ) ) ) ) ) ).
fof(d2_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (B=k2_jordan5d(A) <=>  (r2_hidden(k4_tarski(1, B), k2_matrix_0(k2_goboard2(A))) & k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, B)=k19_pscomp_1(k3_topreal1(2, A))) ) ) ) ) ) ).
fof(d3_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (B=k3_jordan5d(A) <=>  (r2_hidden(k4_tarski(k3_finseq_1(k2_goboard2(A)), B), k2_matrix_0(k2_goboard2(A))) & k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k3_finseq_1(k2_goboard2(A)), B)=k23_pscomp_1(k3_topreal1(2, A))) ) ) ) ) ) ).
fof(d4_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (B=k4_jordan5d(A) <=>  (r2_hidden(k4_tarski(k3_finseq_1(k2_goboard2(A)), B), k2_matrix_0(k2_goboard2(A))) & k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), k3_finseq_1(k2_goboard2(A)), B)=k22_pscomp_1(k3_topreal1(2, A))) ) ) ) ) ) ).
fof(d5_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (B=k5_jordan5d(A) <=>  (r2_hidden(k4_tarski(B, 1), k2_matrix_0(k2_goboard2(A))) & k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), B, 1)=k25_pscomp_1(k3_topreal1(2, A))) ) ) ) ) ) ).
fof(d6_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (B=k6_jordan5d(A) <=>  (r2_hidden(k4_tarski(B, 1), k2_matrix_0(k2_goboard2(A))) & k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), B, 1)=k24_pscomp_1(k3_topreal1(2, A))) ) ) ) ) ) ).
fof(d7_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (B=k7_jordan5d(A) <=>  (r2_hidden(k4_tarski(B, k1_matrix_0(k2_goboard2(A))), k2_matrix_0(k2_goboard2(A))) & k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), B, k1_matrix_0(k2_goboard2(A)))=k20_pscomp_1(k3_topreal1(2, A))) ) ) ) ) ) ).
fof(d8_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (B=k8_jordan5d(A) <=>  (r2_hidden(k4_tarski(B, k1_matrix_0(k2_goboard2(A))), k2_matrix_0(k2_goboard2(A))) & k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), B, k1_matrix_0(k2_goboard2(A)))=k21_pscomp_1(k3_topreal1(2, A))) ) ) ) ) ) ).
fof(t45_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (r1_xxreal_0(1, k7_jordan5d(A)) &  (r1_xxreal_0(k7_jordan5d(A), k3_finseq_1(k2_goboard2(A))) &  (r1_xxreal_0(1, k8_jordan5d(A)) &  (r1_xxreal_0(k8_jordan5d(A), k3_finseq_1(k2_goboard2(A))) &  (r1_xxreal_0(1, k5_jordan5d(A)) &  (r1_xxreal_0(k5_jordan5d(A), k3_finseq_1(k2_goboard2(A))) &  (r1_xxreal_0(1, k6_jordan5d(A)) & r1_xxreal_0(k6_jordan5d(A), k3_finseq_1(k2_goboard2(A)))) ) ) ) ) ) ) ) ) ).
fof(t46_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (r1_xxreal_0(1, k4_jordan5d(A)) &  (r1_xxreal_0(k4_jordan5d(A), k1_matrix_0(k2_goboard2(A))) &  (r1_xxreal_0(1, k3_jordan5d(A)) &  (r1_xxreal_0(k3_jordan5d(A), k1_matrix_0(k2_goboard2(A))) &  (r1_xxreal_0(1, k2_jordan5d(A)) &  (r1_xxreal_0(k2_jordan5d(A), k1_matrix_0(k2_goboard2(A))) &  (r1_xxreal_0(1, k1_jordan5d(A)) & r1_xxreal_0(k1_jordan5d(A), k1_matrix_0(k2_goboard2(A)))) ) ) ) ) ) ) ) ) ).
fof(d9_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (B=k9_jordan5d(A) <=>  (r1_xxreal_0(1, B) &  (r1_xxreal_0(k1_nat_1(B, 1), k3_finseq_1(A)) & k1_funct_1(A, B)=k18_pscomp_1(k3_topreal1(2, A))) ) ) ) ) ) ) ).
fof(d10_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (B=k10_jordan5d(A) <=>  (r1_xxreal_0(1, B) &  (r1_xxreal_0(k1_nat_1(B, 1), k3_finseq_1(A)) & k1_funct_1(A, B)=k19_pscomp_1(k3_topreal1(2, A))) ) ) ) ) ) ) ).
fof(d11_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (B=k11_jordan5d(A) <=>  (r1_xxreal_0(1, B) &  (r1_xxreal_0(k1_nat_1(B, 1), k3_finseq_1(A)) & k1_funct_1(A, B)=k23_pscomp_1(k3_topreal1(2, A))) ) ) ) ) ) ) ).
fof(d12_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (B=k12_jordan5d(A) <=>  (r1_xxreal_0(1, B) &  (r1_xxreal_0(k1_nat_1(B, 1), k3_finseq_1(A)) & k1_funct_1(A, B)=k22_pscomp_1(k3_topreal1(2, A))) ) ) ) ) ) ) ).
fof(d13_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (B=k13_jordan5d(A) <=>  (r1_xxreal_0(1, B) &  (r1_xxreal_0(k1_nat_1(B, 1), k3_finseq_1(A)) & k1_funct_1(A, B)=k25_pscomp_1(k3_topreal1(2, A))) ) ) ) ) ) ) ).
fof(d14_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (B=k14_jordan5d(A) <=>  (r1_xxreal_0(1, B) &  (r1_xxreal_0(k1_nat_1(B, 1), k3_finseq_1(A)) & k1_funct_1(A, B)=k24_pscomp_1(k3_topreal1(2, A))) ) ) ) ) ) ) ).
fof(d15_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (B=k15_jordan5d(A) <=>  (r1_xxreal_0(1, B) &  (r1_xxreal_0(k1_nat_1(B, 1), k3_finseq_1(A)) & k1_funct_1(A, B)=k20_pscomp_1(k3_topreal1(2, A))) ) ) ) ) ) ) ).
fof(d16_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (B=k16_jordan5d(A) <=>  (r1_xxreal_0(1, B) &  (r1_xxreal_0(k1_nat_1(B, 1), k3_finseq_1(A)) & k1_funct_1(A, B)=k21_pscomp_1(k3_topreal1(2, A))) ) ) ) ) ) ) ).
fof(t47_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ~ (k15_jordan5d(A)=k13_jordan5d(A)) ) ) ).
fof(t48_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ~ (k9_jordan5d(A)=k11_jordan5d(A)) ) ) ).
fof(t49_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ~ (k16_jordan5d(A)=k14_jordan5d(A)) ) ) ).
fof(t50_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ~ (k10_jordan5d(A)=k12_jordan5d(A)) ) ) ).
fof(dt_k1_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => v7_ordinal1(k1_jordan5d(A))) ) ).
fof(dt_k2_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => v7_ordinal1(k2_jordan5d(A))) ) ).
fof(dt_k3_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => v7_ordinal1(k3_jordan5d(A))) ) ).
fof(dt_k4_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => v7_ordinal1(k4_jordan5d(A))) ) ).
fof(dt_k5_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => v7_ordinal1(k5_jordan5d(A))) ) ).
fof(dt_k6_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => v7_ordinal1(k6_jordan5d(A))) ) ).
fof(dt_k7_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => v7_ordinal1(k7_jordan5d(A))) ) ).
fof(dt_k8_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => v7_ordinal1(k8_jordan5d(A))) ) ).
fof(dt_k9_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => v7_ordinal1(k9_jordan5d(A))) ) ).
fof(dt_k10_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => v7_ordinal1(k10_jordan5d(A))) ) ).
fof(dt_k11_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => v7_ordinal1(k11_jordan5d(A))) ) ).
fof(dt_k12_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => v7_ordinal1(k12_jordan5d(A))) ) ).
fof(dt_k13_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => v7_ordinal1(k13_jordan5d(A))) ) ).
fof(dt_k14_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => v7_ordinal1(k14_jordan5d(A))) ) ).
fof(dt_k15_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => v7_ordinal1(k15_jordan5d(A))) ) ).
fof(dt_k16_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => v7_ordinal1(k16_jordan5d(A))) ) ).
fof(t13_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (B=a_1_0_jordan5d(A) => B=k7_relat_1(k3_pscomp_1(k15_euclid(2), k5_pscomp_1, k14_pscomp_1(k3_topreal1(2, A))), u1_struct_0(k1_pre_topc(k15_euclid(2), k14_pscomp_1(k3_topreal1(2, A)))))) ) ) ) ) ).
fof(t14_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (B=a_1_1_jordan5d(A) => B=k7_relat_1(k3_pscomp_1(k15_euclid(2), k5_pscomp_1, k16_pscomp_1(k3_topreal1(2, A))), u1_struct_0(k1_pre_topc(k15_euclid(2), k16_pscomp_1(k3_topreal1(2, A)))))) ) ) ) ) ).
fof(t15_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (B=a_1_2_jordan5d(A) => B=k7_relat_1(k3_pscomp_1(k15_euclid(2), k4_pscomp_1, k15_pscomp_1(k3_topreal1(2, A))), u1_struct_0(k1_pre_topc(k15_euclid(2), k15_pscomp_1(k3_topreal1(2, A)))))) ) ) ) ) ).
fof(t16_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (B=a_1_3_jordan5d(A) => B=k7_relat_1(k3_pscomp_1(k15_euclid(2), k4_pscomp_1, k17_pscomp_1(k3_topreal1(2, A))), u1_struct_0(k1_pre_topc(k15_euclid(2), k17_pscomp_1(k3_topreal1(2, A)))))) ) ) ) ) ).
fof(t17_jordan5d, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (B=a_1_4_jordan5d(A) => B=k7_relat_1(k3_pscomp_1(k15_euclid(2), k4_pscomp_1, k3_topreal1(2, A)), u1_struct_0(k1_pre_topc(k15_euclid(2), k3_topreal1(2, A))))) ) ) ) ) ).
fof(t18_jordan5d, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (B=a_1_5_jordan5d(A) => B=k7_relat_1(k3_pscomp_1(k15_euclid(2), k5_pscomp_1, k3_topreal1(2, A)), u1_struct_0(k1_pre_topc(k15_euclid(2), k3_topreal1(2, A))))) ) ) ) ) ).
fof(t19_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (B=a_1_0_jordan5d(A) => k3_seq_4(B)=k1_pscomp_1(k1_pre_topc(k15_euclid(2), k14_pscomp_1(k3_topreal1(2, A))), k3_pscomp_1(k15_euclid(2), k5_pscomp_1, k14_pscomp_1(k3_topreal1(2, A))))) ) ) ) ) ).
fof(t20_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (B=a_1_0_jordan5d(A) => k2_seq_4(B)=k2_pscomp_1(k1_pre_topc(k15_euclid(2), k14_pscomp_1(k3_topreal1(2, A))), k3_pscomp_1(k15_euclid(2), k5_pscomp_1, k14_pscomp_1(k3_topreal1(2, A))))) ) ) ) ) ).
fof(t21_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (B=a_1_1_jordan5d(A) => k3_seq_4(B)=k1_pscomp_1(k1_pre_topc(k15_euclid(2), k16_pscomp_1(k3_topreal1(2, A))), k3_pscomp_1(k15_euclid(2), k5_pscomp_1, k16_pscomp_1(k3_topreal1(2, A))))) ) ) ) ) ).
fof(t22_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (B=a_1_1_jordan5d(A) => k2_seq_4(B)=k2_pscomp_1(k1_pre_topc(k15_euclid(2), k16_pscomp_1(k3_topreal1(2, A))), k3_pscomp_1(k15_euclid(2), k5_pscomp_1, k16_pscomp_1(k3_topreal1(2, A))))) ) ) ) ) ).
fof(t23_jordan5d, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (B=a_1_4_jordan5d(A) => k3_seq_4(B)=k1_pscomp_1(k1_pre_topc(k15_euclid(2), k3_topreal1(2, A)), k3_pscomp_1(k15_euclid(2), k4_pscomp_1, k3_topreal1(2, A)))) ) ) ) ) ).
fof(t24_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (B=a_1_3_jordan5d(A) => k3_seq_4(B)=k1_pscomp_1(k1_pre_topc(k15_euclid(2), k17_pscomp_1(k3_topreal1(2, A))), k3_pscomp_1(k15_euclid(2), k4_pscomp_1, k17_pscomp_1(k3_topreal1(2, A))))) ) ) ) ) ).
fof(t25_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (B=a_1_3_jordan5d(A) => k2_seq_4(B)=k2_pscomp_1(k1_pre_topc(k15_euclid(2), k17_pscomp_1(k3_topreal1(2, A))), k3_pscomp_1(k15_euclid(2), k4_pscomp_1, k17_pscomp_1(k3_topreal1(2, A))))) ) ) ) ) ).
fof(t26_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (B=a_1_2_jordan5d(A) => k3_seq_4(B)=k1_pscomp_1(k1_pre_topc(k15_euclid(2), k15_pscomp_1(k3_topreal1(2, A))), k3_pscomp_1(k15_euclid(2), k4_pscomp_1, k15_pscomp_1(k3_topreal1(2, A))))) ) ) ) ) ).
fof(t27_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (B=a_1_2_jordan5d(A) => k2_seq_4(B)=k2_pscomp_1(k1_pre_topc(k15_euclid(2), k15_pscomp_1(k3_topreal1(2, A))), k3_pscomp_1(k15_euclid(2), k4_pscomp_1, k15_pscomp_1(k3_topreal1(2, A))))) ) ) ) ) ).
fof(t28_jordan5d, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (B=a_1_5_jordan5d(A) => k3_seq_4(B)=k1_pscomp_1(k1_pre_topc(k15_euclid(2), k3_topreal1(2, A)), k3_pscomp_1(k15_euclid(2), k5_pscomp_1, k3_topreal1(2, A)))) ) ) ) ) ).
fof(t29_jordan5d, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (B=a_1_4_jordan5d(A) => k2_seq_4(B)=k2_pscomp_1(k1_pre_topc(k15_euclid(2), k3_topreal1(2, A)), k3_pscomp_1(k15_euclid(2), k4_pscomp_1, k3_topreal1(2, A)))) ) ) ) ) ).
fof(t30_jordan5d, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (B=a_1_5_jordan5d(A) => k2_seq_4(B)=k2_pscomp_1(k1_pre_topc(k15_euclid(2), k3_topreal1(2, A)), k3_pscomp_1(k15_euclid(2), k5_pscomp_1, k3_topreal1(2, A)))) ) ) ) ) ).
fof(t41_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v1_finset_1(E) & m1_subset_1(E, k1_zfmisc_1(k4_ordinal1))) )  =>  ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k3_finseq_1(A)) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k3_finseq_1(k2_goboard2(A))) &  (E=a_2_0_jordan5d(A, B) &  (k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, D))=k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), B, 1)) & C=k4_seq_4(E)) ) ) ) ) )  => r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), B, C)), k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v1_finset_1(E) & m1_subset_1(E, k1_zfmisc_1(k4_ordinal1))) )  =>  ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k3_finseq_1(A)) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k1_matrix_0(k2_goboard2(A))) &  (E=a_2_1_jordan5d(A, B) &  (k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, D))=k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, B)) & C=k4_seq_4(E)) ) ) ) ) )  => r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), C, B)), k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v1_finset_1(E) & m1_subset_1(E, k1_zfmisc_1(k4_ordinal1))) )  =>  ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k3_finseq_1(A)) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k1_matrix_0(k2_goboard2(A))) &  (E=a_2_1_jordan5d(A, B) &  (k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, D))=k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), 1, B)) & C=k1_xxreal_2(E)) ) ) ) ) )  => r1_xxreal_0(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, D)), k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), C, B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_jordan5d, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v1_finset_1(E) & m1_subset_1(E, k1_zfmisc_1(k4_ordinal1))) )  =>  ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k3_finseq_1(A)) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k3_finseq_1(k2_goboard2(A))) &  (E=a_2_0_jordan5d(A, B) &  (k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, D))=k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), B, 1)) & C=k1_xxreal_2(E)) ) ) ) ) )  => r1_xxreal_0(k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), A, D)), k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), B, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_jordan5d, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v3_funct_1(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(B) &  (v2_topreal1(B) &  (v1_goboard5(B) &  (v2_goboard5(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (r2_hidden(A, a_1_0_jordan5d(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (A=k18_euclid(C) &  (k17_euclid(C)=k6_pscomp_1(k3_topreal1(2, B)) & r2_tarski(C, k3_topreal1(2, B))) ) ) ) ) ) ) ).
fof(fraenkel_a_1_1_jordan5d, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v3_funct_1(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(B) &  (v2_topreal1(B) &  (v1_goboard5(B) &  (v2_goboard5(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (r2_hidden(A, a_1_1_jordan5d(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (A=k18_euclid(C) &  (k17_euclid(C)=k8_pscomp_1(k3_topreal1(2, B)) & r2_tarski(C, k3_topreal1(2, B))) ) ) ) ) ) ) ).
fof(fraenkel_a_1_2_jordan5d, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v3_funct_1(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(B) &  (v2_topreal1(B) &  (v1_goboard5(B) &  (v2_goboard5(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (r2_hidden(A, a_1_2_jordan5d(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (A=k17_euclid(C) &  (k18_euclid(C)=k7_pscomp_1(k3_topreal1(2, B)) & r2_tarski(C, k3_topreal1(2, B))) ) ) ) ) ) ) ).
fof(fraenkel_a_1_3_jordan5d, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v3_funct_1(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(B) &  (v2_topreal1(B) &  (v1_goboard5(B) &  (v2_goboard5(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (r2_hidden(A, a_1_3_jordan5d(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (A=k17_euclid(C) &  (k18_euclid(C)=k9_pscomp_1(k3_topreal1(2, B)) & r2_tarski(C, k3_topreal1(2, B))) ) ) ) ) ) ) ).
fof(fraenkel_a_1_4_jordan5d, axiom,  (! [A, B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_hidden(A, a_1_4_jordan5d(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (A=k17_euclid(C) & r2_tarski(C, k3_topreal1(2, B))) ) ) ) ) ) ).
fof(fraenkel_a_1_5_jordan5d, axiom,  (! [A, B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_hidden(A, a_1_5_jordan5d(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (A=k18_euclid(C) & r2_tarski(C, k3_topreal1(2, B))) ) ) ) ) ) ).
fof(fraenkel_a_2_0_jordan5d, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, u1_struct_0(k15_euclid(2))))  & v7_ordinal1(C))  =>  (r2_hidden(A, a_2_0_jordan5d(B, C)) <=>  (? [D] :  (m1_subset_1(D, k4_ordinal1) &  (A=D &  (r2_hidden(k4_tarski(C, D), k2_matrix_0(k2_goboard2(B))) &  (? [E] :  (v7_ordinal1(E) &  (r2_tarski(E, k4_finseq_1(B)) & k7_partfun1(u1_struct_0(k15_euclid(2)), B, E)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(B), C, D)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_jordan5d, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  ( ~ (v3_funct_1(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(B) &  (v2_topreal1(B) &  (v1_goboard5(B) &  (v2_goboard5(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  & v7_ordinal1(C))  =>  (r2_hidden(A, a_2_1_jordan5d(B, C)) <=>  (? [D] :  (m1_subset_1(D, k4_ordinal1) &  (A=D &  (r2_hidden(k4_tarski(D, C), k2_matrix_0(k2_goboard2(B))) &  (? [E] :  (v7_ordinal1(E) &  (r2_tarski(E, k4_finseq_1(B)) & k7_partfun1(u1_struct_0(k15_euclid(2)), B, E)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(B), D, C)) ) ) ) ) ) ) ) ) ) ).
fof(fc1_jordan6, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ( ~ (v1_xboole_0(k9_jordan6(A)))  & v2_compts_1(k9_jordan6(A), k15_euclid(2))) ) ) ).
fof(fc2_jordan6, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ( ~ (v1_xboole_0(k8_jordan6(A)))  & v2_compts_1(k8_jordan6(A), k15_euclid(2))) ) ) ).
fof(t1_jordan6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(B, A) =>  (r1_xxreal_0(B, k7_xcmplx_0(k2_xcmplx_0(B, A), 2)) & r1_xxreal_0(k7_xcmplx_0(k2_xcmplx_0(B, A), 2), A)) ) ) ) ) ) ).
fof(t2_jordan6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k1_pre_topc(A, B)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v4_pre_topc(D, A) & C=k9_subset_1(u1_struct_0(A), D, B))  => v4_pre_topc(C, k1_pre_topc(A, B))) ) ) ) ) ) ) ) ) ).
fof(t3_jordan6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(k1_pre_topc(B, C))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_pre_topc(B, C)))))) )  =>  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ( (r1_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(A), u1_struct_0(k1_pre_topc(B, C)), E, D) & v5_pre_topc(D, A, k1_pre_topc(B, C)))  => v5_pre_topc(E, A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_jordan6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (r1_topreal1(k15_euclid(A), C, D, B) => v2_connsp_1(B, k15_euclid(A))) ) ) ) ) ) ) ) ) ).
fof(t11_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r1_topreal1(k15_euclid(2), B, C, A) => v4_pre_topc(A, k15_euclid(2))) ) ) ) ) ) ) ).
fof(t12_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_topreal1(k15_euclid(2), B, C, A) &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(D, A) & k17_euclid(D)=k7_xcmplx_0(k2_xcmplx_0(k17_euclid(B), k17_euclid(C)), 2)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r1_topreal1(k15_euclid(2), B, C, A) =>  (r2_tarski(k1_jordan6(A, B, C), A) & r2_tarski(k2_jordan6(A, B, C), A)) ) ) ) ) ) ) ) ).
fof(t16_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r1_topreal1(k15_euclid(2), B, C, A) =>  (B=k1_jordan6(A, B, C) <=> k17_euclid(B)=k17_euclid(C)) ) ) ) ) ) ) ) ).
fof(t17_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r1_topreal1(k15_euclid(2), B, C, A) =>  (B=k2_jordan6(A, B, C) <=> k18_euclid(B)=k18_euclid(C)) ) ) ) ) ) ) ) ).
fof(t18_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ( (r1_topreal1(k15_euclid(2), B, C, A) & r1_jordan5c(A, B, C, D, E))  => r1_jordan5c(A, C, B, E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) => r1_tarski(k3_jordan6(A, B, C, D), A)) ) ) ) ) ) ) ) ).
fof(t20_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) => r1_tarski(k4_jordan6(A, B, C, D), A)) ) ) ) ) ) ) ) ).
fof(t21_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r1_topreal1(k15_euclid(2), B, C, A) => k3_jordan6(A, B, C, B)=k1_tarski(B)) ) ) ) ) ) ) ).
fof(t22_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r1_topreal1(k15_euclid(2), B, C, A) => k3_jordan6(A, B, C, C)=A) ) ) ) ) ) ) ).
fof(t23_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r1_topreal1(k15_euclid(2), B, C, A) => k4_jordan6(A, B, C, C)=k1_tarski(C)) ) ) ) ) ) ) ).
fof(t24_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r1_topreal1(k15_euclid(2), B, C, A) => k4_jordan6(A, B, C, B)=A) ) ) ) ) ) ) ).
fof(t25_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r1_topreal1(k15_euclid(2), B, C, A) => k4_jordan6(A, B, C, D)=k3_jordan6(A, C, B, D)) ) ) ) ) ) ) ) ) ).
fof(d5_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) => k5_jordan6(A, B, C, D, E)=k9_subset_1(u1_struct_0(k15_euclid(2)), k4_jordan6(A, B, C, D), k3_jordan6(A, B, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t27_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ( (r1_topreal1(k15_euclid(2), B, C, A) & r1_jordan5c(A, C, B, E, D))  => r1_jordan5c(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (r1_topreal1(k15_euclid(2), B, C, A) => k3_jordan6(A, B, C, D)=k4_jordan6(A, C, B, D)) ) ) ) ) ) ) ) ) ).
fof(t29_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (r1_topreal1(k15_euclid(2), B, C, A) => k5_jordan6(A, B, C, D, E)=k5_jordan6(A, C, B, E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_jordan6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v4_pre_topc(k6_jordan6(A), k15_euclid(2)) & v4_pre_topc(k7_jordan6(A), k15_euclid(2))) ) ) ).
fof(t31_jordan6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k6_jordan6(A)) <=> k17_euclid(B)=A) ) ) ) ) ).
fof(t32_jordan6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k7_jordan6(A)) <=> k18_euclid(B)=A) ) ) ) ) ).
fof(t33_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ~ ( (v1_topreal2(A) &  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ ( (r1_topreal1(k15_euclid(2), k18_pscomp_1(A), k22_pscomp_1(A), B) &  (r1_topreal1(k15_euclid(2), k22_pscomp_1(A), k18_pscomp_1(A), C) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), B, C)=k2_tarski(k18_pscomp_1(A), k22_pscomp_1(A)) &  (k4_subset_1(u1_struct_0(k15_euclid(2)), B, C)=A &  ~ (r1_xxreal_0(k18_euclid(k1_jordan5c(B, k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2)), k18_pscomp_1(A), k22_pscomp_1(A))), k18_euclid(k2_jordan5c(C, k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2)), k22_pscomp_1(A), k18_pscomp_1(A))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k17_borsuk_1))) =>  (A=k6_subset_1(u1_struct_0(k17_borsuk_1), k2_tarski(k5_numbers, 1)) => v3_pre_topc(A, k17_borsuk_1)) ) ) ).
fof(t35_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (A=k2_rcomp_1(B, C) => v3_pre_topc(A, k3_topmetr)) ) ) ) ) ) ) ).
fof(t36_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k17_borsuk_1))) =>  (A=k6_subset_1(u1_struct_0(k17_borsuk_1), k2_tarski(k5_numbers, 1)) =>  ( ~ (A=k1_xboole_0)  & v2_connsp_1(A, k17_borsuk_1)) ) ) ) ).
fof(t37_jordan6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  ~ ( (r1_topreal1(k15_euclid(A), C, D, B) & C=D) ) ) ) ) ) ) ) ) ) ).
fof(t38_jordan6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A), B)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  ( (r1_topreal1(k15_euclid(A), D, E, B) & C=k7_subset_1(u1_struct_0(k15_euclid(A)), B, k2_tarski(D, E)))  => v3_pre_topc(C, k1_pre_topc(k15_euclid(A), B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_jordan6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A), B)))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(A))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(A))) =>  ( (r1_topreal1(k15_euclid(A), F, G, D) &  (k4_subset_1(u1_struct_0(k15_euclid(A)), C, D)=B &  (k9_subset_1(u1_struct_0(k15_euclid(A)), C, D)=k2_tarski(F, G) & E=k7_subset_1(u1_struct_0(k15_euclid(A)), C, k2_tarski(F, G))) ) )  => v3_pre_topc(E, k1_pre_topc(k15_euclid(A), B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_jordan6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A), B)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  ( (r1_topreal1(k15_euclid(A), D, E, B) & C=k7_subset_1(u1_struct_0(k15_euclid(A)), B, k2_tarski(D, E)))  => v2_connsp_1(C, k1_pre_topc(k15_euclid(A), B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_jordan6, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k1_pre_topc(A, B)))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k1_pre_topc(A, C)))) =>  ( (r1_tarski(B, C) &  (E=D & v2_connsp_1(D, k1_pre_topc(A, B))) )  => v2_connsp_1(E, k1_pre_topc(A, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_jordan6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  ~ ( (r1_topreal1(k15_euclid(A), C, D, B) &  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  ~ ( (r2_tarski(E, B) &  ( ~ (E=C)  &  ~ (E=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_jordan6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  ~ ( (r1_topreal1(k15_euclid(A), C, D, B) & k7_subset_1(u1_struct_0(k15_euclid(A)), B, k2_tarski(C, D))=k1_xboole_0) ) ) ) ) ) ) ) ) ) ).
fof(t44_jordan6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A), C)))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(A))) =>  ( (r1_topreal1(k15_euclid(A), E, F, B) &  (r1_tarski(B, C) & D=k7_subset_1(u1_struct_0(k15_euclid(A)), B, k2_tarski(E, F))) )  => v2_connsp_1(D, k1_pre_topc(k15_euclid(A), C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_jordan6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_pre_topc(C) & l1_pre_topc(C)) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(A), u1_struct_0(k1_pre_topc(B, D))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_pre_topc(B, D)))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(k1_pre_topc(B, E)), u1_struct_0(C)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(B, E)), u1_struct_0(C))))) )  =>  ~ ( (r1_tarski(D, E) &  (v5_pre_topc(F, A, k1_pre_topc(B, D)) &  (v5_pre_topc(G, k1_pre_topc(B, E), C) &  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(A), u1_struct_0(C)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C))))) )  =>  ~ ( (r2_relset_1(u1_struct_0(A), u1_struct_0(C), H, k1_partfun1(u1_struct_0(A), u1_struct_0(k1_pre_topc(B, D)), u1_struct_0(k1_pre_topc(B, E)), u1_struct_0(C), F, G)) & v5_pre_topc(H, A, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_jordan6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  ( (r1_topreal1(k15_euclid(A), D, E, B) &  (r1_topreal1(k15_euclid(A), D, E, C) & r1_tarski(B, C)) )  => B=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ ( (v1_topreal2(A) &  (r2_tarski(C, A) &  (r2_tarski(D, A) &  ( ~ (C=D)  &  (B=k7_subset_1(u1_struct_0(k15_euclid(2)), A, k2_tarski(C, D)) & v2_connsp_1(B, k1_pre_topc(k15_euclid(2), A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(2))) =>  ~ ( (v1_topreal2(A) &  (r1_topreal1(k15_euclid(2), F, G, B) &  (r1_topreal1(k15_euclid(2), F, G, C) &  (k4_subset_1(u1_struct_0(k15_euclid(2)), B, C)=A &  (r1_topreal1(k15_euclid(2), F, G, D) &  (r1_topreal1(k15_euclid(2), F, G, E) &  (k4_subset_1(u1_struct_0(k15_euclid(2)), D, E)=A &  ( ~ ( (B=D & C=E) )  &  ~ ( (B=E & C=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r1_xxreal_0(k17_euclid(C), B) &  (r1_xxreal_0(B, k17_euclid(D)) & r1_topreal1(k15_euclid(2), C, D, A)) )  =>  ( ~ (r1_xboole_0(A, k6_jordan6(B)))  & v4_pre_topc(k9_subset_1(u1_struct_0(k15_euclid(2)), A, k6_jordan6(B)), k15_euclid(2))) ) ) ) ) ) ) ) ) ) ).
fof(d8_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (v1_topreal2(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (B=k8_jordan6(A) <=>  (r1_topreal1(k15_euclid(2), k18_pscomp_1(A), k22_pscomp_1(A), B) &  (? [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  &  (r1_topreal1(k15_euclid(2), k22_pscomp_1(A), k18_pscomp_1(A), C) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), B, C)=k2_tarski(k18_pscomp_1(A), k22_pscomp_1(A)) &  (k4_subset_1(u1_struct_0(k15_euclid(2)), B, C)=A &  ~ (r1_xxreal_0(k18_euclid(k1_jordan5c(B, k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2)), k18_pscomp_1(A), k22_pscomp_1(A))), k18_euclid(k2_jordan5c(C, k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2)), k22_pscomp_1(A), k18_pscomp_1(A))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (v1_topreal2(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (B=k9_jordan6(A) <=>  (r1_topreal1(k15_euclid(2), k22_pscomp_1(A), k18_pscomp_1(A), B) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k8_jordan6(A), B)=k2_tarski(k18_pscomp_1(A), k22_pscomp_1(A)) &  (k4_subset_1(u1_struct_0(k15_euclid(2)), k8_jordan6(A), B)=A &  ~ (r1_xxreal_0(k18_euclid(k1_jordan5c(k8_jordan6(A), k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2)), k18_pscomp_1(A), k22_pscomp_1(A))), k18_euclid(k2_jordan5c(B, k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2)), k22_pscomp_1(A), k18_pscomp_1(A))))) ) ) ) ) ) ) ) ) ) ).
fof(t50_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (v1_topreal2(A) =>  (r1_topreal1(k15_euclid(2), k18_pscomp_1(A), k22_pscomp_1(A), k8_jordan6(A)) &  (r1_topreal1(k15_euclid(2), k22_pscomp_1(A), k18_pscomp_1(A), k8_jordan6(A)) &  (r1_topreal1(k15_euclid(2), k22_pscomp_1(A), k18_pscomp_1(A), k9_jordan6(A)) &  (r1_topreal1(k15_euclid(2), k18_pscomp_1(A), k22_pscomp_1(A), k9_jordan6(A)) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k8_jordan6(A), k9_jordan6(A))=k2_tarski(k18_pscomp_1(A), k22_pscomp_1(A)) &  (k4_subset_1(u1_struct_0(k15_euclid(2)), k8_jordan6(A), k9_jordan6(A))=A &  ~ (r1_xxreal_0(k18_euclid(k1_jordan5c(k8_jordan6(A), k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2)), k18_pscomp_1(A), k22_pscomp_1(A))), k18_euclid(k2_jordan5c(k9_jordan6(A), k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2)), k22_pscomp_1(A), k18_pscomp_1(A))))) ) ) ) ) ) ) ) ) ) ).
fof(t51_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (v1_topreal2(A) =>  (k9_jordan6(A)=k2_xboole_0(k7_subset_1(u1_struct_0(k15_euclid(2)), A, k8_jordan6(A)), k2_tarski(k18_pscomp_1(A), k22_pscomp_1(A))) & k8_jordan6(A)=k2_xboole_0(k7_subset_1(u1_struct_0(k15_euclid(2)), A, k9_jordan6(A)), k2_tarski(k18_pscomp_1(A), k22_pscomp_1(A)))) ) ) ) ).
fof(t52_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)))) =>  ( (v1_topreal2(A) &  (k9_subset_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)), k8_jordan6(A), B)=k2_tarski(k18_pscomp_1(A), k22_pscomp_1(A)) & k2_xboole_0(k8_jordan6(A), B)=A) )  => B=k9_jordan6(A)) ) ) ) ) ).
fof(t53_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2), A)))) =>  ( (v1_topreal2(A) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), B, k9_jordan6(A))=k2_tarski(k18_pscomp_1(A), k22_pscomp_1(A)) & k2_xboole_0(B, k9_jordan6(A))=A) )  => B=k8_jordan6(A)) ) ) ) ) ).
fof(t54_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r1_topreal1(k15_euclid(2), B, C, A) & r1_jordan5c(A, B, C, D, B))  => D=B) ) ) ) ) ) ) ) ) ).
fof(t55_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r1_topreal1(k15_euclid(2), B, C, A) & r1_jordan5c(A, B, C, C, D))  => D=C) ) ) ) ) ) ) ) ) ).
fof(d10_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r1_jordan6(A, B, C) <=>  ~ ( ( ~ ( (r2_tarski(B, k8_jordan6(A)) &  (r2_tarski(C, k9_jordan6(A)) &  ~ (C=k18_pscomp_1(A)) ) ) )  &  ( ~ ( (r2_tarski(B, k8_jordan6(A)) &  (r2_tarski(C, k8_jordan6(A)) & r1_jordan5c(k8_jordan6(A), k18_pscomp_1(A), k22_pscomp_1(A), B, C)) ) )  &  ~ ( (r2_tarski(B, k9_jordan6(A)) &  (r2_tarski(C, k9_jordan6(A)) &  ( ~ (C=k18_pscomp_1(A))  & r1_jordan5c(k9_jordan6(A), k22_pscomp_1(A), k18_pscomp_1(A), B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (v1_topreal2(A) & r2_tarski(B, A))  => r1_jordan6(A, B, B)) ) ) ) ) ).
fof(t57_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (v1_topreal2(A) &  (r1_jordan6(A, B, C) & r1_jordan6(A, C, B)) )  => B=C) ) ) ) ) ) ) ).
fof(t58_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (v1_topreal2(A) &  (r1_jordan6(A, B, C) & r1_jordan6(A, C, D)) )  => r1_jordan6(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t59_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_topreal1(k15_euclid(2), B, C, A) &  ( ~ (D=C)  & r2_tarski(C, k3_jordan6(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_topreal1(k15_euclid(2), B, C, A) &  ( ~ (D=B)  & r2_tarski(B, k4_jordan6(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_jordan6, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (r1_tarski(k9_jordan6(A), A) & r1_tarski(k8_jordan6(A), A)) ) ) ).
fof(d11_jordan6, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => k10_jordan6(A)=k1_jordan5c(k9_jordan6(A), k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2)), k18_pscomp_1(A), k22_pscomp_1(A))) ) ).
fof(d12_jordan6, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => k11_jordan6(A)=k1_jordan5c(k8_jordan6(A), k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2)), k18_pscomp_1(A), k22_pscomp_1(A))) ) ).
fof(t62_jordan6, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ (r1_xboole_0(k9_jordan6(A), k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2)))) ) ) ).
fof(t63_jordan6, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ (r1_xboole_0(k8_jordan6(A), k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2)))) ) ) ).
fof(t64_jordan6, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => k17_euclid(k10_jordan6(A))=k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2)) ) ).
fof(t65_jordan6, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => k17_euclid(k11_jordan6(A))=k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2)) ) ).
fof(t66_jordan6, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => r2_tarski(k10_jordan6(A), k9_jordan6(A))) ) ).
fof(t67_jordan6, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => r2_tarski(k11_jordan6(A), k8_jordan6(A))) ) ).
fof(t68_jordan6, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => r2_tarski(k11_jordan6(A), A)) ) ).
fof(t69_jordan6, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(k6_pscomp_1(A), B) &  (r1_xxreal_0(B, k8_pscomp_1(A)) & r1_xboole_0(k1_rltopsp1(k15_euclid(2), k19_euclid(B, k9_pscomp_1(A)), k19_euclid(B, k7_pscomp_1(A))), k8_jordan6(A))) ) ) ) ) ) ) ).
fof(t70_jordan6, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(k6_pscomp_1(A), B) &  (r1_xxreal_0(B, k8_pscomp_1(A)) & r1_xboole_0(k1_rltopsp1(k15_euclid(2), k19_euclid(B, k9_pscomp_1(A)), k19_euclid(B, k7_pscomp_1(A))), k9_jordan6(A))) ) ) ) ) ) ) ).
fof(dt_k1_jordan6, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) & m1_subset_1(C, u1_struct_0(k15_euclid(2)))) )  => m1_subset_1(k1_jordan6(A, B, C), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k2_jordan6, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) & m1_subset_1(C, u1_struct_0(k15_euclid(2)))) )  => m1_subset_1(k2_jordan6(A, B, C), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k3_jordan6, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) & m1_subset_1(D, u1_struct_0(k15_euclid(2)))) ) )  => m1_subset_1(k3_jordan6(A, B, C, D), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k4_jordan6, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) & m1_subset_1(D, u1_struct_0(k15_euclid(2)))) ) )  => m1_subset_1(k4_jordan6(A, B, C, D), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k5_jordan6, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) &  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) & m1_subset_1(E, u1_struct_0(k15_euclid(2)))) ) ) )  => m1_subset_1(k5_jordan6(A, B, C, D, E), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k6_jordan6, axiom,  (! [A] :  (v1_xreal_0(A) => m1_subset_1(k6_jordan6(A), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k7_jordan6, axiom,  (! [A] :  (v1_xreal_0(A) => m1_subset_1(k7_jordan6(A), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k8_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( ~ (v1_xboole_0(k8_jordan6(A)))  & m1_subset_1(k8_jordan6(A), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) ).
fof(dt_k9_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( ~ (v1_xboole_0(k9_jordan6(A)))  & m1_subset_1(k9_jordan6(A), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) ).
fof(dt_k10_jordan6, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => m1_subset_1(k10_jordan6(A), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k11_jordan6, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => m1_subset_1(k11_jordan6(A), u1_struct_0(k15_euclid(2)))) ) ).
fof(t4_jordan6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (B=a_1_0_jordan6(A) => v4_pre_topc(B, k15_euclid(2))) ) ) ) ) ).
fof(t5_jordan6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (B=a_1_1_jordan6(A) => v4_pre_topc(B, k15_euclid(2))) ) ) ) ) ).
fof(t6_jordan6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (B=a_1_2_jordan6(A) => v4_pre_topc(B, k15_euclid(2))) ) ) ) ) ).
fof(t7_jordan6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (B=a_1_3_jordan6(A) => v4_pre_topc(B, k15_euclid(2))) ) ) ) ) ).
fof(t8_jordan6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (B=a_1_4_jordan6(A) => v4_pre_topc(B, k15_euclid(2))) ) ) ) ) ).
fof(t9_jordan6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (B=a_1_5_jordan6(A) => v4_pre_topc(B, k15_euclid(2))) ) ) ) ) ).
fof(t13_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r1_topreal1(k15_euclid(2), C, D, A) & B=a_2_0_jordan6(C, D))  =>  ( ~ (r1_xboole_0(A, B))  & v4_pre_topc(k9_subset_1(u1_struct_0(k15_euclid(2)), A, B), k15_euclid(2))) ) ) ) ) ) ) ) ) ) ).
fof(t14_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r1_topreal1(k15_euclid(2), C, D, A) & B=a_2_1_jordan6(C, D))  =>  ( ~ (r1_xboole_0(A, B))  & v4_pre_topc(k9_subset_1(u1_struct_0(k15_euclid(2)), A, B), k15_euclid(2))) ) ) ) ) ) ) ) ) ) ).
fof(d1_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (D=k1_jordan6(A, B, C) <=>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (E=a_2_0_jordan6(B, C) => D=k1_jordan5c(A, E, B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (D=k2_jordan6(A, B, C) <=>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (E=a_2_1_jordan6(B, C) => D=k1_jordan5c(A, E, B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) => k3_jordan6(A, B, C, D)=a_4_0_jordan6(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(d4_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) => k4_jordan6(A, B, C, D)=a_4_1_jordan6(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t26_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) => k5_jordan6(A, B, C, D, E)=a_5_0_jordan6(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(d6_jordan6, axiom,  (! [A] :  (v1_xreal_0(A) => k6_jordan6(A)=a_1_2_jordan6(A)) ) ).
fof(d7_jordan6, axiom,  (! [A] :  (v1_xreal_0(A) => k7_jordan6(A)=a_1_5_jordan6(A)) ) ).
fof(fraenkel_a_1_0_jordan6, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_0_jordan6(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (A=C & r1_xxreal_0(B, k17_euclid(C))) ) ) ) ) ) ).
fof(fraenkel_a_1_1_jordan6, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_1_jordan6(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (A=C & r1_xxreal_0(k17_euclid(C), B)) ) ) ) ) ) ).
fof(fraenkel_a_1_2_jordan6, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_2_jordan6(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (A=C & k17_euclid(C)=B) ) ) ) ) ) ).
fof(fraenkel_a_1_3_jordan6, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_3_jordan6(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (A=C & r1_xxreal_0(B, k18_euclid(C))) ) ) ) ) ) ).
fof(fraenkel_a_1_4_jordan6, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_4_jordan6(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (A=C & r1_xxreal_0(k18_euclid(C), B)) ) ) ) ) ) ).
fof(fraenkel_a_1_5_jordan6, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_5_jordan6(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (A=C & k18_euclid(C)=B) ) ) ) ) ) ).
fof(fraenkel_a_2_0_jordan6, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, u1_struct_0(k15_euclid(2))) & m1_subset_1(C, u1_struct_0(k15_euclid(2))))  =>  (r2_hidden(A, a_2_0_jordan6(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) &  (A=D & k17_euclid(D)=k7_xcmplx_0(k2_xcmplx_0(k17_euclid(B), k17_euclid(C)), 2)) ) ) ) ) ) ).
fof(fraenkel_a_2_1_jordan6, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, u1_struct_0(k15_euclid(2))) & m1_subset_1(C, u1_struct_0(k15_euclid(2))))  =>  (r2_hidden(A, a_2_1_jordan6(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) &  (A=D & k18_euclid(D)=k7_xcmplx_0(k2_xcmplx_0(k18_euclid(B), k18_euclid(C)), 2)) ) ) ) ) ) ).
fof(fraenkel_a_4_0_jordan6, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) & m1_subset_1(E, u1_struct_0(k15_euclid(2)))) ) )  =>  (r2_hidden(A, a_4_0_jordan6(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) &  (A=F & r1_jordan5c(B, C, D, F, E)) ) ) ) ) ) ).
fof(fraenkel_a_4_1_jordan6, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) & m1_subset_1(E, u1_struct_0(k15_euclid(2)))) ) )  =>  (r2_hidden(A, a_4_1_jordan6(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) &  (A=F & r1_jordan5c(B, C, D, E, F)) ) ) ) ) ) ).
fof(fraenkel_a_5_0_jordan6, axiom,  (! [A, B, C, D, E, F] :  ( (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) &  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) &  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) & m1_subset_1(F, u1_struct_0(k15_euclid(2)))) ) ) )  =>  (r2_hidden(A, a_5_0_jordan6(B, C, D, E, F)) <=>  (? [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(2))) &  (A=G &  (r1_jordan5c(B, C, D, E, G) & r1_jordan5c(B, C, D, G, F)) ) ) ) ) ) ) ).
fof(t1_jordan7, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (v1_topreal2(A) =>  (r2_tarski(k18_pscomp_1(A), k9_jordan6(A)) &  (r2_tarski(k22_pscomp_1(A), k9_jordan6(A)) &  (r2_tarski(k18_pscomp_1(A), k8_jordan6(A)) & r2_tarski(k22_pscomp_1(A), k8_jordan6(A))) ) ) ) ) ) ).
fof(t2_jordan7, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (v1_topreal2(A) & r1_jordan6(A, B, k18_pscomp_1(A)))  => B=k18_pscomp_1(A)) ) ) ) ) ).
fof(t3_jordan7, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (v1_topreal2(A) & r2_tarski(B, A))  => r1_jordan6(A, k18_pscomp_1(A), B)) ) ) ) ) ).
fof(t4_jordan7, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (v1_topreal2(A) =>  (k1_jordan7(A, k18_pscomp_1(A), k22_pscomp_1(A))=k8_jordan6(A) & k1_jordan7(A, k22_pscomp_1(A), k18_pscomp_1(A))=k9_jordan6(A)) ) ) ) ).
fof(t5_jordan7, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (v1_topreal2(A) & r1_jordan6(A, B, C))  =>  (r2_tarski(B, A) & r2_tarski(C, A)) ) ) ) ) ) ) ) ).
fof(t6_jordan7, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (v1_topreal2(A) & r1_jordan6(A, B, C))  =>  (r2_tarski(B, k1_jordan7(A, B, C)) & r2_tarski(C, k1_jordan7(A, B, C))) ) ) ) ) ) ) ) ).
fof(t7_jordan7, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(B, A) & v1_topreal2(A))  => r2_tarski(B, k1_jordan7(A, B, k18_pscomp_1(A)))) ) ) ) ) ).
fof(t8_jordan7, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (v1_topreal2(A) & r2_tarski(B, A))  =>  (B=k18_pscomp_1(A) | k1_jordan7(A, B, B)=k1_tarski(B)) ) ) ) ) ) ).
fof(t9_jordan7, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (v1_topreal2(A) &  ( ~ (B=k18_pscomp_1(A))  &  ( ~ (C=k18_pscomp_1(A))  & r2_tarski(k18_pscomp_1(A), k1_jordan7(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t10_jordan7, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (v1_topreal2(A) &  (r1_jordan6(A, B, C) & r1_jordan6(A, C, D)) )  =>  ( (B=C & B=k18_pscomp_1(A))  |  ( (C=D & C=k18_pscomp_1(A))  | k9_subset_1(u1_struct_0(k15_euclid(2)), k1_jordan7(A, B, C), k1_jordan7(A, C, D))=k1_tarski(C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_jordan7, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (v1_topreal2(A) & r1_jordan6(A, B, C))  =>  (B=k18_pscomp_1(A) |  (C=k18_pscomp_1(A) | k9_subset_1(u1_struct_0(k15_euclid(2)), k1_jordan7(A, B, C), k1_jordan7(A, C, k18_pscomp_1(A)))=k1_tarski(C)) ) ) ) ) ) ) ) ) ).
fof(t12_jordan7, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (v1_topreal2(A) & r1_jordan6(A, B, C))  =>  (B=C |  (B=k18_pscomp_1(A) | k9_subset_1(u1_struct_0(k15_euclid(2)), k1_jordan7(A, C, k18_pscomp_1(A)), k1_jordan7(A, k18_pscomp_1(A), B))=k1_tarski(k18_pscomp_1(A))) ) ) ) ) ) ) ) ) ).
fof(t13_jordan7, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  ( (v1_topreal2(A) &  (r1_jordan6(A, B, C) &  (r1_jordan6(A, C, D) & r1_jordan6(A, D, E)) ) )  =>  (B=C |  (C=D | r1_xboole_0(k1_jordan7(A, B, C), k1_jordan7(A, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_jordan7, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (v1_topreal2(A) &  (r1_jordan6(A, B, C) & r1_jordan6(A, C, D)) )  =>  (B=k18_pscomp_1(A) |  (C=D | r1_xboole_0(k1_jordan7(A, B, C), k1_jordan7(A, D, k18_pscomp_1(A)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_jordan7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(A), B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(A), B)))))) )  =>  ~ ( (v3_tops_2(C, k5_topmetr, k1_pre_topc(k15_euclid(A), B)) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(A)))))) )  =>  ~ ( (C=D &  (v5_pre_topc(D, k5_topmetr, k15_euclid(A)) & v2_funct_1(D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_jordan7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(A)))))) )  =>  ~ ( (v5_pre_topc(C, k5_topmetr, k15_euclid(A)) &  (v2_funct_1(C) &  (k2_relset_1(u1_struct_0(k15_euclid(A)), C)=B &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(A), B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k1_pre_topc(k15_euclid(A), B)))))) )  =>  ~ ( (D=C & v3_tops_2(D, k5_topmetr, k1_pre_topc(k15_euclid(A), B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_jordan7, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_topreal1(k15_euclid(2), B, C, A) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  ~ ( (v5_pre_topc(D, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(D) &  (k2_relset_1(u1_struct_0(k15_euclid(2)), D)=A &  (k1_funct_1(D, k5_numbers)=B & k1_funct_1(D, 1)=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_jordan7, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (r1_topreal1(k15_euclid(2), B, C, A) &  (v5_pre_topc(F, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(F) &  (k2_relset_1(u1_struct_0(k15_euclid(2)), F)=A &  (k1_funct_1(F, k5_numbers)=B &  (k1_funct_1(F, 1)=C &  (k1_funct_1(F, G)=D &  (r1_xxreal_0(k5_numbers, G) &  (r1_xxreal_0(G, 1) &  (k1_funct_1(F, H)=E &  (r1_xxreal_0(k5_numbers, H) &  (r1_xxreal_0(H, 1) & r1_xxreal_0(G, H)) ) ) ) ) ) ) ) ) ) ) )  => r1_jordan5c(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_jordan7, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr), u1_struct_0(k15_euclid(2)))))) )  =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (v5_pre_topc(F, k5_topmetr, k15_euclid(2)) &  (v2_funct_1(F) &  (k2_relset_1(u1_struct_0(k15_euclid(2)), F)=A &  (k1_funct_1(F, k5_numbers)=B &  (k1_funct_1(F, 1)=C &  (k1_funct_1(F, G)=D &  (r1_xxreal_0(k5_numbers, G) &  (r1_xxreal_0(G, 1) &  (k1_funct_1(F, H)=E &  (r1_xxreal_0(k5_numbers, H) &  (r1_xxreal_0(H, 1) & r1_jordan5c(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) )  => r1_xxreal_0(G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_jordan7, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (v1_topreal2(A) &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (k1_funct_1(C, 1)=k18_pscomp_1(A) &  (v2_funct_1(C) &  (r1_xxreal_0(8, k3_finseq_1(C)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), C), A) &  ( (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(1, D) =>  (r1_xxreal_0(k3_finseq_1(C), D) | r1_jordan6(A, k7_partfun1(u1_struct_0(k15_euclid(2)), C, D), k7_partfun1(u1_struct_0(k15_euclid(2)), C, k1_nat_1(D, 1)))) ) ) )  &  ( (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k14_euclid(2)))) =>  ~ ( (r1_xxreal_0(1, D) &  ( ~ (r1_xxreal_0(k3_finseq_1(C), D))  &  (E=k1_jordan7(A, k7_partfun1(u1_struct_0(k15_euclid(2)), C, D), k7_partfun1(u1_struct_0(k15_euclid(2)), C, k1_nat_1(D, 1))) & r1_xxreal_0(B, k2_tbsp_1(k14_euclid(2), E))) ) ) ) ) ) ) )  &  ( (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k14_euclid(2)))) =>  ~ ( (D=k1_jordan7(A, k7_partfun1(u1_struct_0(k15_euclid(2)), C, k3_finseq_1(C)), k7_partfun1(u1_struct_0(k15_euclid(2)), C, 1)) & r1_xxreal_0(B, k2_tbsp_1(k14_euclid(2), D))) ) ) )  &  ( (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(1, D) =>  (r1_xxreal_0(k3_finseq_1(C), k1_nat_1(D, 1)) | k9_subset_1(u1_struct_0(k15_euclid(2)), k1_jordan7(A, k7_partfun1(u1_struct_0(k15_euclid(2)), C, D), k7_partfun1(u1_struct_0(k15_euclid(2)), C, k1_nat_1(D, 1))), k1_jordan7(A, k7_partfun1(u1_struct_0(k15_euclid(2)), C, k1_nat_1(D, 1)), k7_partfun1(u1_struct_0(k15_euclid(2)), C, k1_nat_1(D, 2))))=k1_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), C, k1_nat_1(D, 1)))) ) ) )  &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_jordan7(A, k7_partfun1(u1_struct_0(k15_euclid(2)), C, k3_finseq_1(C)), k7_partfun1(u1_struct_0(k15_euclid(2)), C, 1)), k1_jordan7(A, k7_partfun1(u1_struct_0(k15_euclid(2)), C, 1), k7_partfun1(u1_struct_0(k15_euclid(2)), C, 2)))=k1_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), C, 1)) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_jordan7(A, k7_partfun1(u1_struct_0(k15_euclid(2)), C, k7_nat_d(k3_finseq_1(C), 1)), k7_partfun1(u1_struct_0(k15_euclid(2)), C, k3_finseq_1(C))), k1_jordan7(A, k7_partfun1(u1_struct_0(k15_euclid(2)), C, k3_finseq_1(C)), k7_partfun1(u1_struct_0(k15_euclid(2)), C, 1)))=k1_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), C, k3_finseq_1(C))) &  (r1_xboole_0(k1_jordan7(A, k7_partfun1(u1_struct_0(k15_euclid(2)), C, k7_nat_d(k3_finseq_1(C), 1)), k7_partfun1(u1_struct_0(k15_euclid(2)), C, k3_finseq_1(C))), k1_jordan7(A, k7_partfun1(u1_struct_0(k15_euclid(2)), C, 1), k7_partfun1(u1_struct_0(k15_euclid(2)), C, 2))) &  ( (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(1, D) =>  (r1_xxreal_0(E, D) |  (r1_xxreal_0(k3_finseq_1(C), E) |  (r1_gobrd10(D, E) | r1_xboole_0(k1_jordan7(A, k7_partfun1(u1_struct_0(k15_euclid(2)), C, D), k7_partfun1(u1_struct_0(k15_euclid(2)), C, k1_nat_1(D, 1))), k1_jordan7(A, k7_partfun1(u1_struct_0(k15_euclid(2)), C, E), k7_partfun1(u1_struct_0(k15_euclid(2)), C, k1_nat_1(E, 1))))) ) ) ) ) ) ) )  &  (! [D] :  (v7_ordinal1(D) =>  ~ ( ( ~ (r1_xxreal_0(D, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(C), k1_nat_1(D, 1)))  &  ~ (r1_xboole_0(k1_jordan7(A, k7_partfun1(u1_struct_0(k15_euclid(2)), C, k3_finseq_1(C)), k7_partfun1(u1_struct_0(k15_euclid(2)), C, 1)), k1_jordan7(A, k7_partfun1(u1_struct_0(k15_euclid(2)), C, D), k7_partfun1(u1_struct_0(k15_euclid(2)), C, k1_nat_1(D, 1))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_jordan7, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  &  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) & m1_subset_1(C, u1_struct_0(k15_euclid(2)))) )  => m1_subset_1(k1_jordan7(A, B, C), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(d1_jordan7, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ( ~ (C=k18_pscomp_1(A))  => k1_jordan7(A, B, C)=a_3_0_jordan7(A, B, C))  &  (C=k18_pscomp_1(A) => k1_jordan7(A, B, C)=a_2_0_jordan7(A, B)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_jordan7, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  &  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) & m1_subset_1(D, u1_struct_0(k15_euclid(2)))) )  =>  (r2_hidden(A, a_3_0_jordan7(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) &  (A=E &  (r1_jordan6(B, C, E) & r1_jordan6(B, E, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_jordan7, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  & m1_subset_1(C, u1_struct_0(k15_euclid(2))))  =>  (r2_hidden(A, a_2_0_jordan7(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) &  (A=D &  (r1_jordan6(B, C, D) |  (r2_tarski(C, B) & D=k18_pscomp_1(B)) ) ) ) ) ) ) ) ).
fof(fc1_jordan8, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  & v7_ordinal1(B))  =>  ( ~ (v3_relat_1(k1_jordan8(A, B)))  &  (v1_matrix_0(k1_jordan8(A, B)) &  (v1_goboard1(k1_jordan8(A, B)) & v2_goboard1(k1_jordan8(A, B))) ) ) ) ) ).
fof(fc2_jordan8, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  & v7_ordinal1(B))  =>  (v1_matrix_0(k1_jordan8(A, B)) &  (v3_goboard1(k1_jordan8(A, B)) & v4_goboard1(k1_jordan8(A, B))) ) ) ) ).
fof(t1_jordan8, axiom,  (! [A] :  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  => r1_goboard1(A, k6_finseq_1(A), B)) ) ) ).
fof(t2_jordan8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, B) =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(B)))  =>  (r1_goboard1(B, C, D) => r1_goboard1(B, k2_rfinseq(B, A, C), D)) ) ) ) ) ) ) ) ) ).
fof(t3_jordan8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  (m2_finseq_1(C, B) =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(B)))  =>  ~ ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(C)) &  (r1_goboard1(B, C, D) &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (v7_ordinal1(H) =>  ~ ( (r2_hidden(k4_tarski(E, F), k2_matrix_0(D)) &  (k7_partfun1(B, C, A)=k3_matrix_0(B, D, E, F) &  (r2_hidden(k4_tarski(G, H), k2_matrix_0(D)) &  (k7_partfun1(B, C, k1_nat_1(A, 1))=k3_matrix_0(B, D, G, H) &  ~ ( ( ~ ( (E=G & k1_nat_1(F, 1)=H) )  &  ( ~ ( (k1_nat_1(E, 1)=G & F=H) )  &  ( ~ ( (E=k1_nat_1(G, 1) & F=H) )  &  ~ ( (E=G & F=k1_nat_1(H, 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_jordan8, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, u1_struct_0(k15_euclid(2))))  =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), B, A) =>  (v2_goboard5(B) & v1_topreal1(B)) ) ) ) ) ) ).
fof(t5_jordan8, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, u1_struct_0(k15_euclid(2))))  =>  ~ ( (r1_xxreal_0(2, k3_finseq_1(B)) &  (r1_goboard1(u1_struct_0(k15_euclid(2)), B, A) & v3_funct_1(B)) ) ) ) ) ) ) ).
fof(t6_jordan8, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m2_finseq_1(C, u1_struct_0(k15_euclid(2))))  =>  ( (r1_goboard1(u1_struct_0(k15_euclid(2)), C, A) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ( (r2_hidden(k4_tarski(D, E), k2_matrix_0(A)) &  (r2_hidden(k4_tarski(F, G), k2_matrix_0(A)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, k3_finseq_1(C))=k3_matrix_0(u1_struct_0(k15_euclid(2)), A, D, E) & B=k3_matrix_0(u1_struct_0(k15_euclid(2)), A, F, G)) ) )  => k2_xcmplx_0(k9_complex1(k6_xcmplx_0(F, D)), k9_complex1(k6_xcmplx_0(G, E)))=1) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_hidden(k4_tarski(D, E), k2_matrix_0(A)) & B=k3_matrix_0(u1_struct_0(k15_euclid(2)), A, D, E)) ) ) ) ) )  | r1_goboard1(u1_struct_0(k15_euclid(2)), k8_finseq_1(u1_struct_0(k15_euclid(2)), C, k13_matrix_0(u1_struct_0(k15_euclid(2)), B)), A)) ) ) ) ) ) ) ) ).
fof(t7_jordan8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v3_relat_1(D))  &  (v1_matrix_0(D) &  (v1_goboard1(D) &  (v2_goboard1(D) &  (v3_goboard1(D) &  (v4_goboard1(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_xxreal_0(1, B) =>  (r1_xxreal_0(k3_finseq_1(D), k2_xcmplx_0(A, C)) |  (r1_xxreal_0(k1_matrix_0(D), B) |  (r1_xboole_0(k3_goboard5(D, A, B), k3_goboard5(D, k2_xcmplx_0(A, C), B)) | r1_xxreal_0(C, 1)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_jordan8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (v2_sppol_1(A) <=> r1_xxreal_0(k8_pscomp_1(A), k6_pscomp_1(A))) ) ) ).
fof(t9_jordan8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (v1_sppol_1(A) <=> r1_xxreal_0(k7_pscomp_1(A), k9_pscomp_1(A))) ) ) ).
fof(d1_jordan8, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  =>  (C=k1_jordan8(A, B) <=>  (k3_finseq_1(C)=k1_nat_1(k1_newton(2, B), 3) &  (k3_finseq_1(C)=k1_matrix_0(C) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_hidden(k4_tarski(D, E), k2_matrix_0(C)) => k3_matrix_0(u1_struct_0(k15_euclid(2)), C, D, E)=k19_euclid(k2_xcmplx_0(k6_pscomp_1(A), k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k8_pscomp_1(A), k6_pscomp_1(A)), k1_newton(2, B)), k6_xcmplx_0(D, 2))), k2_xcmplx_0(k9_pscomp_1(A), k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k7_pscomp_1(A), k9_pscomp_1(A)), k1_newton(2, B)), k6_xcmplx_0(E, 2))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_jordan8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) => r1_xxreal_0(4, k3_finseq_1(k1_jordan8(A, B)))) ) ) ) ).
fof(t11_jordan8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, k3_finseq_1(k1_jordan8(C, B))))  => k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(C, B), 2, A))=k6_pscomp_1(C)) ) ) ) ) ) ) ).
fof(t12_jordan8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, k3_finseq_1(k1_jordan8(C, B))))  => k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(C, B), k7_nat_d(k3_finseq_1(k1_jordan8(C, B)), 1), A))=k8_pscomp_1(C)) ) ) ) ) ) ) ).
fof(t13_jordan8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, k3_finseq_1(k1_jordan8(C, B))))  => k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(C, B), A, 2))=k9_pscomp_1(C)) ) ) ) ) ) ) ).
fof(t14_jordan8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, k3_finseq_1(k1_jordan8(C, B))))  => k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(C, B), A, k7_nat_d(k3_finseq_1(k1_jordan8(C, B)), 1)))=k7_pscomp_1(C)) ) ) ) ) ) ) ).
fof(t15_jordan8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, k3_finseq_1(k1_jordan8(A, C))) => r1_xboole_0(k3_goboard5(k1_jordan8(A, C), B, k3_finseq_1(k1_jordan8(A, C))), A)) ) ) ) ) ) ) ).
fof(t16_jordan8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, k3_finseq_1(k1_jordan8(A, C))) => r1_xboole_0(k3_goboard5(k1_jordan8(A, C), k3_finseq_1(k1_jordan8(A, C)), B), A)) ) ) ) ) ) ) ).
fof(t17_jordan8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, k3_finseq_1(k1_jordan8(A, C))) => r1_xboole_0(k3_goboard5(k1_jordan8(A, C), B, k5_numbers), A)) ) ) ) ) ) ) ).
fof(t18_jordan8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, k3_finseq_1(k1_jordan8(A, C))) => r1_xboole_0(k3_goboard5(k1_jordan8(A, C), k5_numbers, B), A)) ) ) ) ) ) ) ).
fof(dt_k1_jordan8, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B))  =>  (v1_matrix_0(k1_jordan8(A, B)) & m2_finseq_1(k1_jordan8(A, B), k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ).
fof(t1_jordan9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v2_connsp_1(B, A) &  (r3_connsp_1(A, E, C) &  (r3_connsp_1(A, E, D) & r1_tarski(B, E)) ) )  =>  (r1_xboole_0(B, C) |  (r1_xboole_0(B, D) | C=D) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_jordan9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  ( (! [D] :  (v7_ordinal1(D) => k17_finseq_1(A, D, B)=k17_finseq_1(A, D, C)) )  => B=C) ) ) ) ) ) ) ).
fof(t3_jordan9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, B) =>  ~ ( (r2_tarski(A, k4_finseq_1(C)) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(D, k4_finseq_1(k4_finseq_5(B, C))) &  (k2_xcmplx_0(A, D)=k1_nat_1(k3_finseq_1(C), 1) & k7_partfun1(B, C, A)=k7_partfun1(B, k4_finseq_5(B, C), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_jordan9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, B) =>  ~ ( (r2_tarski(A, k4_finseq_1(k4_finseq_5(B, C))) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(D, k4_finseq_1(C)) &  (k2_xcmplx_0(A, D)=k1_nat_1(k3_finseq_1(C), 1) & k7_partfun1(B, k4_finseq_5(B, C), A)=k7_partfun1(B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_jordan9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  (m2_finseq_1(C, A) =>  (r1_goboard1(A, C, B) <=> r1_goboard1(A, k4_finseq_5(A, C), B)) ) ) ) ) ) ) ).
fof(t6_jordan9, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), B, A) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, k3_finseq_1(B)))  => r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), B, C), k9_matrix_0(A))) ) ) ) ) ) ) ) ).
fof(t7_jordan9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ~ ( (r1_xxreal_0(A, k3_finseq_1(B)) &  (r2_tarski(C, k3_topreal1(2, k2_rfinseq(u1_struct_0(k15_euclid(2)), A, B))) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(k1_nat_1(A, 1), D) &  (r1_xxreal_0(k1_nat_1(D, 1), k3_finseq_1(B)) & r2_tarski(C, k2_topreal1(2, B, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_jordan9, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), B, A) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(B)))  =>  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), B, C), k2_gobrd13(B, A, C)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), B, C), k1_gobrd13(B, A, C))) ) ) ) ) ) ) ) ) ).
fof(t9_jordan9, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), B, A) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(B)))  =>  ( ~ (k1_tops_1(k15_euclid(2), k2_gobrd13(B, A, C))=k1_xboole_0)  &  ~ (k1_tops_1(k15_euclid(2), k1_gobrd13(B, A, C))=k1_xboole_0) ) ) ) ) ) ) ) ) ) ).
fof(t10_jordan9, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), B, A) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(B)))  =>  (v1_convex1(k1_tops_1(k15_euclid(2), k2_gobrd13(B, A, C)), k15_euclid(2)) & v1_convex1(k1_tops_1(k15_euclid(2), k1_gobrd13(B, A, C)), k15_euclid(2))) ) ) ) ) ) ) ) ) ).
fof(t11_jordan9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r1_goboard1(u1_struct_0(k15_euclid(2)), C, B) &  (r1_xxreal_0(1, A) & r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(C))) )  =>  (k2_pre_topc(k15_euclid(2), k1_tops_1(k15_euclid(2), k2_gobrd13(C, B, A)))=k2_gobrd13(C, B, A) & k2_pre_topc(k15_euclid(2), k1_tops_1(k15_euclid(2), k1_gobrd13(C, B, A)))=k1_gobrd13(C, B, A)) ) ) ) ) ) ) ) ).
fof(t12_jordan9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_goboard1(u1_struct_0(k15_euclid(2)), C, B) &  (v1_sppol_1(k2_topreal1(2, C, A)) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k1_matrix_0(B)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(E, k2_topreal1(2, C, A)) => k18_euclid(E)=k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, 1, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_jordan9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_goboard1(u1_struct_0(k15_euclid(2)), C, B) &  (v2_sppol_1(k2_topreal1(2, C, A)) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k3_finseq_1(B)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(E, k2_topreal1(2, C, A)) => k17_euclid(E)=k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), B, D, 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_jordan9, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  ( (r1_goboard1(u1_struct_0(k15_euclid(2)), B, A) & v1_topreal1(B))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(C, k3_finseq_1(A)) & r1_xxreal_0(D, k1_matrix_0(A)))  => r1_xboole_0(k1_tops_1(k15_euclid(2), k3_goboard5(A, C, D)), k3_topreal1(2, B))) ) ) ) ) ) ) ) ) ) ).
fof(t15_jordan9, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  ( (r1_goboard1(u1_struct_0(k15_euclid(2)), B, A) & v1_topreal1(B))  =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(B)))  =>  (r1_xboole_0(k1_tops_1(k15_euclid(2), k2_gobrd13(B, A, C)), k3_topreal1(2, B)) & r1_xboole_0(k1_tops_1(k15_euclid(2), k1_gobrd13(B, A, C)), k3_topreal1(2, B))) ) ) ) ) ) ) ) ) ).
fof(t16_jordan9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(C)) &  (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 1), k1_matrix_0(C))) ) )  =>  (k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, B))=k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, k1_nat_1(B, 1))) &  (k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, B))=k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), B)) &  (k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), k1_nat_1(B, 1)))=k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), B)) & k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), k1_nat_1(B, 1)))=k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, k1_nat_1(B, 1)))) ) ) ) ) ) ) ) ) ) ).
fof(t17_jordan9, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(A)) &  (r1_xxreal_0(1, D) & r1_xxreal_0(k1_nat_1(D, 1), k1_matrix_0(A))) ) )  =>  (r2_tarski(B, k3_goboard5(A, C, D)) <=>  (r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), A, C, D)), k17_euclid(B)) &  (r1_xxreal_0(k17_euclid(B), k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k1_nat_1(C, 1), D))) &  (r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), A, C, D)), k18_euclid(B)) & r1_xxreal_0(k18_euclid(B), k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), A, C, k1_nat_1(D, 1))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_jordan9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(C)) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(k1_nat_1(B, 1), k1_matrix_0(C)) &  (r2_tarski(D, k9_matrix_0(C)) &  (r2_tarski(D, k3_goboard5(C, A, B)) &  ( ~ (D=k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, B))  &  ( ~ (D=k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, k1_nat_1(B, 1)))  &  ( ~ (D=k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), k1_nat_1(B, 1)))  &  ~ (D=k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_jordan9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(C)) &  (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 1), k1_matrix_0(C))) ) )  =>  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, B), k3_goboard5(C, A, B)) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, k1_nat_1(B, 1)), k3_goboard5(C, A, B)) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), k1_nat_1(B, 1)), k3_goboard5(C, A, B)) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1), B), k3_goboard5(C, A, B))) ) ) ) ) ) ) ) ) ) ).
fof(t21_jordan9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(C)) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(k1_nat_1(B, 1), k1_matrix_0(C)) &  (r2_tarski(D, k9_matrix_0(C)) & r2_tarski(D, k3_goboard5(C, A, B))) ) ) ) )  => r1_sppol_1(2, D, k3_goboard5(C, A, B))) ) ) ) ) ) ) ) ) ).
fof(t22_jordan9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_xxreal_0(2, k3_finseq_1(B)) &  (r1_xxreal_0(2, k1_matrix_0(B)) &  (r1_goboard1(u1_struct_0(k15_euclid(2)), C, B) &  (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(C)) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(k1_nat_1(D, 1), k3_finseq_1(B)) &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(k1_nat_1(E, 1), k1_matrix_0(B)) & r1_tarski(k2_topreal1(2, C, A), k3_goboard5(B, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_jordan9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_xxreal_0(2, k3_finseq_1(B)) &  (r1_xxreal_0(2, k1_matrix_0(B)) &  (r1_goboard1(u1_struct_0(k15_euclid(2)), C, B) &  (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(C)) &  (r2_tarski(D, k9_matrix_0(B)) &  (r2_tarski(D, k2_topreal1(2, C, A)) &  ( ~ (D=k7_partfun1(u1_struct_0(k15_euclid(2)), C, A))  &  ~ (D=k7_partfun1(u1_struct_0(k15_euclid(2)), C, k1_nat_1(A, 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_jordan9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v3_relat_1(D))  &  (v1_matrix_0(D) &  (v1_goboard1(D) &  (v2_goboard1(D) &  (v3_goboard1(D) &  (v4_goboard1(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r2_hidden(k4_tarski(A, B), k2_matrix_0(D)) &  (r1_xxreal_0(1, C) & r1_xxreal_0(C, k1_matrix_0(D))) )  => r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), D, A, B)), k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), D, k3_finseq_1(D), C)))) ) ) ) ) ) ) ) ) ).
fof(t25_jordan9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v3_relat_1(D))  &  (v1_matrix_0(D) &  (v1_goboard1(D) &  (v2_goboard1(D) &  (v3_goboard1(D) &  (v4_goboard1(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r2_hidden(k4_tarski(A, B), k2_matrix_0(D)) &  (r1_xxreal_0(1, C) & r1_xxreal_0(C, k3_finseq_1(D))) )  => r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), D, A, B)), k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), D, C, k1_matrix_0(D))))) ) ) ) ) ) ) ) ) ).
fof(t26_jordan9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r1_goboard1(u1_struct_0(k15_euclid(2)), C, B) &  (v1_topreal1(C) &  (r1_tarski(k3_topreal1(2, D), k3_topreal1(2, C)) &  (r1_xxreal_0(1, A) & r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(C))) ) ) )  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (E=k7_subset_1(u1_struct_0(k15_euclid(2)), k1_gobrd13(C, B, A), k3_topreal1(2, D)) | E=k7_subset_1(u1_struct_0(k15_euclid(2)), k2_gobrd13(C, B, A), k3_topreal1(2, D)))  => v2_connsp_1(E, k15_euclid(2))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_jordan9, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v3_funct_1(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(B) &  (v2_topreal1(B) &  (v1_goboard5(B) &  (v2_goboard5(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), B, A) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(B)))  =>  (r1_tarski(k7_subset_1(u1_struct_0(k15_euclid(2)), k1_gobrd13(B, A, C), k3_topreal1(2, B)), k3_goboard9(B)) & r1_tarski(k7_subset_1(u1_struct_0(k15_euclid(2)), k2_gobrd13(B, A, C), k3_topreal1(2, B)), k2_goboard9(B))) ) ) ) ) ) ) ) ) ).
fof(t28_jordan9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(k1_jordan8(A, B))) &  (r2_tarski(k20_pscomp_1(A), k3_goboard5(k1_jordan8(A, B), C, k7_nat_d(k1_matrix_0(k1_jordan8(A, B)), 1))) &  ~ (k20_pscomp_1(A)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), C, k7_nat_d(k1_matrix_0(k1_jordan8(A, B)), 1))) ) ) ) ) ) ) ) ) ) ).
fof(t29_jordan9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(k1_jordan8(A, B))) &  (r2_tarski(k20_pscomp_1(A), k3_goboard5(k1_jordan8(A, B), C, k7_nat_d(k1_matrix_0(k1_jordan8(A, B)), 1))) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(k1_nat_1(D, 1), k3_finseq_1(k1_jordan8(A, B))) & r2_tarski(k20_pscomp_1(A), k3_goboard5(k1_jordan8(A, B), D, k7_nat_d(k1_matrix_0(k1_jordan8(A, B)), 1)))) ) ) ) )  =>  (k20_pscomp_1(A)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), C, k7_nat_d(k1_matrix_0(k1_jordan8(A, B)), 1)) |  (k20_pscomp_1(A)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), D, k7_nat_d(k1_matrix_0(k1_jordan8(A, B)), 1)) | C=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_jordan9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  ( ~ (v3_funct_1(C))  &  (v1_finseq_6(C, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(C) &  (v2_topreal1(C) &  (v1_goboard5(C) &  (v2_goboard5(C) & m2_finseq_1(C, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ( (r1_goboard1(u1_struct_0(k15_euclid(2)), C, k1_jordan8(A, B)) &  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(k1_nat_1(D, 1), k3_finseq_1(C)))  =>  (r1_xboole_0(k2_gobrd13(C, k1_jordan8(A, B), D), A) &  ~ (r1_xboole_0(k1_gobrd13(C, k1_jordan8(A, B), D), A)) ) ) ) ) )  =>  ( (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(k1_nat_1(D, 1), k3_finseq_1(k1_jordan8(A, B))) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, 1)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), D, k1_matrix_0(k1_jordan8(A, B))) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, 2)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), k1_nat_1(D, 1), k1_matrix_0(k1_jordan8(A, B))) &  (r2_tarski(k20_pscomp_1(A), k3_goboard5(k1_jordan8(A, B), D, k7_nat_d(k1_matrix_0(k1_jordan8(A, B)), 1))) &  ~ (k20_pscomp_1(A)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), D, k7_nat_d(k1_matrix_0(k1_jordan8(A, B)), 1))) ) ) ) ) ) ) ) )  | k20_pscomp_1(k3_topreal1(2, C))=k7_partfun1(u1_struct_0(k15_euclid(2)), C, 1)) ) ) ) ) ) ) ) ).
fof(d1_jordan9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (v2_connsp_1(A, k15_euclid(2)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  ( ~ (v3_funct_1(C))  &  (v1_finseq_6(C, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(C) &  (v2_topreal1(C) &  (v1_goboard5(C) &  (v2_goboard5(C) &  (v1_sprect_2(C) & m2_finseq_1(C, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  =>  (C=k1_jordan9(A, B) <=>  (r1_goboard1(u1_struct_0(k15_euclid(2)), C, k1_jordan8(A, B)) &  ( (? [D] :  (v7_ordinal1(D) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(k1_nat_1(D, 1), k3_finseq_1(k1_jordan8(A, B))) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, 1)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), D, k1_matrix_0(k1_jordan8(A, B))) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, 2)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), k1_nat_1(D, 1), k1_matrix_0(k1_jordan8(A, B))) &  (r2_tarski(k20_pscomp_1(A), k3_goboard5(k1_jordan8(A, B), D, k7_nat_d(k1_matrix_0(k1_jordan8(A, B)), 1))) &  ~ (k20_pscomp_1(A)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), D, k7_nat_d(k1_matrix_0(k1_jordan8(A, B)), 1))) ) ) ) ) ) ) )  &  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(k1_nat_1(D, 2), k3_finseq_1(C)))  =>  ( ( (r1_xboole_0(k4_gobrd13(C, k1_jordan8(A, B), D), A) & r1_xboole_0(k3_gobrd13(C, k1_jordan8(A, B), D), A))  => r1_gobrd13(u1_struct_0(k15_euclid(2)), C, k1_jordan8(A, B), D))  &  ( (r1_xboole_0(k4_gobrd13(C, k1_jordan8(A, B), D), A) =>  (r1_xboole_0(k3_gobrd13(C, k1_jordan8(A, B), D), A) | r3_gobrd13(u1_struct_0(k15_euclid(2)), C, k1_jordan8(A, B), D)) )  &  ( ~ (r1_xboole_0(k4_gobrd13(C, k1_jordan8(A, B), D), A))  => r2_gobrd13(u1_struct_0(k15_euclid(2)), C, k1_jordan8(A, B), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_jordan9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (v2_connsp_1(A, k15_euclid(2)) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(k1_jordan9(A, B))))  =>  (r1_xboole_0(k2_gobrd13(k1_jordan9(A, B), k1_jordan8(A, B), C), A) &  ~ (r1_xboole_0(k1_gobrd13(k1_jordan9(A, B), k1_jordan8(A, B), C), A)) ) ) ) ) ) ) ) ) ) ).
fof(t32_jordan9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (v2_connsp_1(A, k15_euclid(2)) =>  (! [B] :  (v7_ordinal1(B) => k20_pscomp_1(k3_topreal1(2, k1_jordan9(A, B)))=k7_partfun1(u1_struct_0(k15_euclid(2)), k1_jordan9(A, B), 1)) ) ) ) ) ).
fof(dt_k1_jordan9, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  & v7_ordinal1(B))  =>  ( ~ (v1_xboole_0(k1_jordan9(A, B)))  &  ( ~ (v3_funct_1(k1_jordan9(A, B)))  &  (v1_finseq_6(k1_jordan9(A, B), u1_struct_0(k15_euclid(2))) &  (v1_topreal1(k1_jordan9(A, B)) &  (v2_topreal1(k1_jordan9(A, B)) &  (v1_goboard5(k1_jordan9(A, B)) &  (v2_goboard5(k1_jordan9(A, B)) &  (v1_sprect_2(k1_jordan9(A, B)) & m2_finseq_1(k1_jordan9(A, B), u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) ) ) ) ).
fof(t18_jordan9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(C)) &  (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 1), k1_matrix_0(C))) ) )  => k3_goboard5(C, A, B)=a_3_0_jordan9(A, B, C)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_jordan9, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(B) &  (v7_ordinal1(C) &  ( ~ (v3_relat_1(D))  &  (v1_matrix_0(D) &  (v1_goboard1(D) &  (v2_goboard1(D) &  (v3_goboard1(D) &  (v4_goboard1(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) ) ) )  =>  (r2_hidden(A, a_3_0_jordan9(B, C, D)) <=>  (? [E, F] :  ( (v1_xreal_0(E) & v1_xreal_0(F))  &  (A=k19_euclid(E, F) &  (r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), D, B, C)), E) &  (r1_xxreal_0(E, k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), D, k1_nat_1(B, 1), C))) &  (r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), D, B, C)), F) & r1_xxreal_0(F, k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), D, B, k1_nat_1(C, 1))))) ) ) ) ) ) ) ) ) ).
fof(fc1_jordan_a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_funct_1(k1_jordan_a(A)) &  (v1_funct_2(k1_jordan_a(A), u1_struct_0(k2_borsuk_1(k15_euclid(A), k15_euclid(A))), k1_numbers) & v1_pscomp_1(k1_jordan_a(A), k2_borsuk_1(k15_euclid(A), k15_euclid(A)))) ) ) ) ).
fof(cc1_jordan_a, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_jordan_a(B, A) =>  ~ (v1_zfmisc_1(B)) ) ) ) ) ).
fof(fc2_jordan_a, axiom,  (! [A, B, C] :  ( ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  &  (m1_jordan_a(B, A) & v7_ordinal1(C)) )  =>  ( ~ (v1_xboole_0(k2_jordan_a(A, C, B)))  & v2_compts_1(k2_jordan_a(A, C, B), k15_euclid(2))) ) ) ).
fof(t1_jordan_a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v1_pscomp_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) )  =>  (! [C] :  ( (v2_compts_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  => v1_rcomp_1(k7_relset_1(u1_struct_0(A), k1_numbers, B, C))) ) ) ) ) ) ).
fof(t2_jordan_a, axiom,  (! [A] :  ( (v1_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(B, A) => r2_hidden(k3_seq_4(B), A)) ) ) ) ) ).
fof(t5_jordan_a, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k9_jordan6(A)) =>  (B=k18_pscomp_1(A) | r1_jordan6(A, k22_pscomp_1(A), B)) ) ) ) ) ) ).
fof(t6_jordan_a, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k8_jordan6(A)) => r1_jordan6(A, B, k22_pscomp_1(A))) ) ) ) ) ).
fof(d1_jordan_a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k2_borsuk_1(k15_euclid(A), k15_euclid(A))), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(A), k15_euclid(A))), k1_numbers)))) )  =>  (B=k1_jordan_a(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) => k1_binop_1(B, C, D)=k12_euclid(k5_algstr_0(k15_euclid(A), C, D))) ) ) ) ) ) ) ) ) ).
fof(d2_jordan_a, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (v1_pscomp_1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_rcomp_1(D, k3_funct_2(u1_struct_0(A), k1_numbers, B, C)) =>  (? [E] :  (m1_connsp_2(E, A, C) & r1_tarski(k7_relset_1(u1_struct_0(A), k1_numbers, B, E), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_jordan_a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A))))) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_compts_1(C, k15_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A))))) )  =>  ~ ( (r1_subset_1(B, C) & r1_xxreal_0(k4_jordan1k(A, B, C), k5_numbers)) ) ) ) ) ) ) ) ).
fof(t8_jordan_a, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r1_jordan6(A, B, C) & r1_jordan6(A, C, k22_pscomp_1(A)))  =>  (B=C | k1_jordan7(A, B, C)=k5_jordan6(k8_jordan6(A), k18_pscomp_1(A), k22_pscomp_1(A), B, C)) ) ) ) ) ) ) ) ).
fof(t9_jordan_a, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r1_jordan6(A, k22_pscomp_1(A), B) => k1_jordan7(A, k22_pscomp_1(A), B)=k5_jordan6(k9_jordan6(A), k22_pscomp_1(A), k18_pscomp_1(A), k22_pscomp_1(A), B)) ) ) ) ) ).
fof(t10_jordan_a, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r1_jordan6(A, k22_pscomp_1(A), B) => k1_jordan7(A, B, k18_pscomp_1(A))=k5_jordan6(k9_jordan6(A), k22_pscomp_1(A), k18_pscomp_1(A), B, k18_pscomp_1(A))) ) ) ) ) ).
fof(t11_jordan_a, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r1_jordan6(A, B, C) & r1_jordan6(A, k22_pscomp_1(A), B))  => k1_jordan7(A, B, C)=k5_jordan6(k9_jordan6(A), k22_pscomp_1(A), k18_pscomp_1(A), B, C)) ) ) ) ) ) ) ).
fof(t12_jordan_a, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r1_jordan6(A, B, k22_pscomp_1(A)) & r1_jordan6(A, k22_pscomp_1(A), C))  => k1_jordan7(A, B, C)=k4_subset_1(u1_struct_0(k15_euclid(2)), k4_jordan6(k8_jordan6(A), k18_pscomp_1(A), k22_pscomp_1(A), B), k3_jordan6(k9_jordan6(A), k22_pscomp_1(A), k18_pscomp_1(A), C))) ) ) ) ) ) ) ).
fof(t13_jordan_a, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r1_jordan6(A, B, k22_pscomp_1(A)) => k1_jordan7(A, B, k18_pscomp_1(A))=k4_subset_1(u1_struct_0(k15_euclid(2)), k4_jordan6(k8_jordan6(A), k18_pscomp_1(A), k22_pscomp_1(A), B), k3_jordan6(k9_jordan6(A), k22_pscomp_1(A), k18_pscomp_1(A), k18_pscomp_1(A)))) ) ) ) ) ).
fof(t14_jordan_a, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => k4_jordan6(k8_jordan6(A), k18_pscomp_1(A), k22_pscomp_1(A), B)=k5_jordan6(k8_jordan6(A), k18_pscomp_1(A), k22_pscomp_1(A), B, k22_pscomp_1(A))) ) ) ) ).
fof(t15_jordan_a, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => k3_jordan6(k9_jordan6(A), k22_pscomp_1(A), k18_pscomp_1(A), B)=k5_jordan6(k9_jordan6(A), k22_pscomp_1(A), k18_pscomp_1(A), k22_pscomp_1(A), B)) ) ) ) ).
fof(t16_jordan_a, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, A) =>  (B=k18_pscomp_1(A) | r1_topreal1(k15_euclid(2), B, k18_pscomp_1(A), k1_jordan7(A, B, k18_pscomp_1(A)))) ) ) ) ) ) ).
fof(t17_jordan_a, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r1_jordan6(A, B, C) =>  (B=C | r1_topreal1(k15_euclid(2), B, C, k1_jordan7(A, B, C))) ) ) ) ) ) ) ) ).
fof(t18_jordan_a, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => A=k1_jordan7(A, k18_pscomp_1(A), k18_pscomp_1(A))) ) ).
fof(t19_jordan_a, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, A) => v2_compts_1(k1_jordan7(A, B, k18_pscomp_1(A)), k15_euclid(2))) ) ) ) ) ).
fof(t20_jordan_a, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r1_jordan6(A, B, C) => v2_compts_1(k1_jordan7(A, B, C), k15_euclid(2))) ) ) ) ) ) ) ).
fof(d3_jordan_a, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (m1_jordan_a(B, A) <=>  (k7_partfun1(u1_struct_0(k15_euclid(2)), B, 1)=k18_pscomp_1(A) &  (v2_funct_1(B) &  (r1_xxreal_0(8, k3_finseq_1(B)) &  (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)), B), A) &  ( (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(1, C) =>  (r1_xxreal_0(k3_finseq_1(B), C) | r1_jordan6(A, k7_partfun1(u1_struct_0(k15_euclid(2)), B, C), k7_partfun1(u1_struct_0(k15_euclid(2)), B, k1_nat_1(C, 1)))) ) ) )  &  ( (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(1, C) =>  (r1_xxreal_0(k3_finseq_1(B), k1_nat_1(C, 1)) | k9_subset_1(u1_struct_0(k15_euclid(2)), k1_jordan7(A, k7_partfun1(u1_struct_0(k15_euclid(2)), B, C), k7_partfun1(u1_struct_0(k15_euclid(2)), B, k1_nat_1(C, 1))), k1_jordan7(A, k7_partfun1(u1_struct_0(k15_euclid(2)), B, k1_nat_1(C, 1)), k7_partfun1(u1_struct_0(k15_euclid(2)), B, k1_nat_1(C, 2))))=k1_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), B, k1_nat_1(C, 1)))) ) ) )  &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_jordan7(A, k7_partfun1(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B)), k7_partfun1(u1_struct_0(k15_euclid(2)), B, 1)), k1_jordan7(A, k7_partfun1(u1_struct_0(k15_euclid(2)), B, 1), k7_partfun1(u1_struct_0(k15_euclid(2)), B, 2)))=k1_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), B, 1)) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_jordan7(A, k7_partfun1(u1_struct_0(k15_euclid(2)), B, k7_nat_d(k3_finseq_1(B), 1)), k7_partfun1(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B))), k1_jordan7(A, k7_partfun1(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B)), k7_partfun1(u1_struct_0(k15_euclid(2)), B, 1)))=k1_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B))) &  (r1_xboole_0(k1_jordan7(A, k7_partfun1(u1_struct_0(k15_euclid(2)), B, k7_nat_d(k3_finseq_1(B), 1)), k7_partfun1(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B))), k1_jordan7(A, k7_partfun1(u1_struct_0(k15_euclid(2)), B, 1), k7_partfun1(u1_struct_0(k15_euclid(2)), B, 2))) &  ( (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(1, C) =>  (r1_xxreal_0(D, C) |  (r1_xxreal_0(k3_finseq_1(B), D) |  (r1_gobrd10(C, D) | r1_xboole_0(k1_jordan7(A, k7_partfun1(u1_struct_0(k15_euclid(2)), B, C), k7_partfun1(u1_struct_0(k15_euclid(2)), B, k1_nat_1(C, 1))), k1_jordan7(A, k7_partfun1(u1_struct_0(k15_euclid(2)), B, D), k7_partfun1(u1_struct_0(k15_euclid(2)), B, k1_nat_1(D, 1))))) ) ) ) ) ) ) )  &  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(B), k1_nat_1(C, 1)))  &  ~ (r1_xboole_0(k1_jordan7(A, k7_partfun1(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B)), k7_partfun1(u1_struct_0(k15_euclid(2)), B, 1)), k1_jordan7(A, k7_partfun1(u1_struct_0(k15_euclid(2)), B, C), k7_partfun1(u1_struct_0(k15_euclid(2)), B, k1_nat_1(C, 1))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_jordan_a, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_jordan_a(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, k3_finseq_1(B)))  => r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), B, C), A)) ) ) ) ) ) ) ).
fof(d4_jordan_a, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_jordan_a(C, A) =>  ( (r1_xxreal_0(1, B) =>  (r1_xxreal_0(k3_finseq_1(C), B) | k2_jordan_a(A, B, C)=k1_jordan7(A, k7_partfun1(u1_struct_0(k15_euclid(2)), C, B), k7_partfun1(u1_struct_0(k15_euclid(2)), C, k1_nat_1(B, 1)))) )  &  ( ~ ( (r1_xxreal_0(1, B) &  ~ (r1_xxreal_0(k3_finseq_1(C), B)) ) )  => k2_jordan_a(A, B, C)=k1_jordan7(A, k7_partfun1(u1_struct_0(k15_euclid(2)), C, k3_finseq_1(C)), k7_partfun1(u1_struct_0(k15_euclid(2)), C, 1))) ) ) ) ) ) ) ) ).
fof(t22_jordan_a, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_jordan_a(C, A) =>  (r2_tarski(B, k4_finseq_1(C)) => r1_tarski(k2_jordan_a(A, B, C), A)) ) ) ) ) ) ) ).
fof(t23_jordan_a, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_jordan_a(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(C, A) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(D, k4_finseq_1(B)) & r2_tarski(C, k2_jordan_a(A, D, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_jordan_a, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_jordan_a(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(1, C) =>  (r1_xxreal_0(D, C) |  (r1_xxreal_0(k3_finseq_1(B), D) |  (r1_gobrd10(C, D) | r1_subset_1(k2_jordan_a(A, C, B), k2_jordan_a(A, D, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_jordan_a, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_jordan_a(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  ( ~ (r1_xxreal_0(k7_nat_d(k3_finseq_1(B), 1), C))  &  ~ (r1_subset_1(k2_jordan_a(A, k3_finseq_1(B), B), k2_jordan_a(A, C, B))) ) ) ) ) ) ) ) ) ) ).
fof(t26_jordan_a, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_jordan_a(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, C) & r1_gobrd10(C, D))  =>  (r1_xxreal_0(D, C) |  (r1_xxreal_0(k3_finseq_1(B), D) | k9_subset_1(u1_struct_0(k15_euclid(2)), k2_jordan_a(A, C, B), k2_jordan_a(A, D, B))=k1_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), B, k1_nat_1(C, 1)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_jordan_a, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_jordan_a(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(1, C) &  ( ~ (r1_xxreal_0(D, C))  &  ( ~ (r1_xxreal_0(k3_finseq_1(B), D))  &  (r1_gobrd10(C, D) & r2_subset_1(k2_jordan_a(A, C, B), k2_jordan_a(A, D, B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_jordan_a, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_jordan_a(B, A) => k9_subset_1(u1_struct_0(k15_euclid(2)), k2_jordan_a(A, k3_finseq_1(B), B), k2_jordan_a(A, 1, B))=k1_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), B, 1))) ) ) ) ).
fof(t29_jordan_a, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_jordan_a(B, A) =>  ~ (r2_subset_1(k2_jordan_a(A, k3_finseq_1(B), B), k2_jordan_a(A, 1, B))) ) ) ) ) ).
fof(t30_jordan_a, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_jordan_a(B, A) => k9_subset_1(u1_struct_0(k15_euclid(2)), k2_jordan_a(A, k3_finseq_1(B), B), k2_jordan_a(A, k7_nat_d(k3_finseq_1(B), 1), B))=k1_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B)))) ) ) ) ).
fof(t31_jordan_a, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_jordan_a(B, A) =>  ~ (r2_subset_1(k2_jordan_a(A, k3_finseq_1(B), B), k2_jordan_a(A, k7_nat_d(k3_finseq_1(B), 1), B))) ) ) ) ) ).
fof(d5_jordan_a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (v1_xreal_0(C) =>  (C=k3_jordan_a(A, B) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k14_euclid(A)))) &  (D=B & C=k2_tbsp_1(k14_euclid(A), D)) ) ) ) ) ) ) ) ) ) ).
fof(t32_jordan_a, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_jordan_a(B, A) =>  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k3_jordan_a(2, k2_jordan_a(A, C, B)), k4_jordan_a(A, B))) ) ) ) ) ) ).
fof(t33_jordan_a, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_jordan_a(B, A) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( (! [D] :  (v7_ordinal1(D) =>  ~ (r1_xxreal_0(C, k3_jordan_a(2, k2_jordan_a(A, D, B)))) ) )  & r1_xxreal_0(C, k4_jordan_a(A, B))) ) ) ) ) ) ) ) ).
fof(t34_jordan_a, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  (! [C] :  (m1_jordan_a(C, A) => r1_xxreal_0(B, k4_jordan_a(A, C))) ) ) ) ) ) ) ) ).
fof(t36_jordan_a, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_jordan_a(B, A) =>  ~ (r1_xxreal_0(k5_jordan_a(A, B), k5_numbers)) ) ) ) ) ).
fof(dt_k1_jordan_a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_funct_1(k1_jordan_a(A)) &  (v1_funct_2(k1_jordan_a(A), u1_struct_0(k2_borsuk_1(k15_euclid(A), k15_euclid(A))), k1_numbers) & m1_subset_1(k1_jordan_a(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(A), k15_euclid(A))), k1_numbers)))) ) ) ) ).
fof(dt_m1_jordan_a, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_jordan_a(B, A) => m2_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) ) ).
fof(existence_m1_jordan_a, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (? [B] : m1_jordan_a(B, A)) ) ) ).
fof(dt_k2_jordan_a, axiom,  (! [A, B, C] :  ( ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  &  (v7_ordinal1(B) & m1_jordan_a(C, A)) )  => m1_subset_1(k2_jordan_a(A, B, C), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k3_jordan_a, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  => v1_xreal_0(k3_jordan_a(A, B))) ) ).
fof(dt_k4_jordan_a, axiom,  (! [A, B] :  ( ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  & m1_jordan_a(B, A))  => v1_xreal_0(k4_jordan_a(A, B))) ) ).
fof(dt_k5_jordan_a, axiom,  (! [A, B] :  ( ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  & m1_jordan_a(B, A))  => v1_xreal_0(k5_jordan_a(A, B))) ) ).
fof(t3_jordan_a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A))))) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_compts_1(C, k15_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k2_borsuk_1(k15_euclid(A), k15_euclid(A))), k1_numbers) &  (v1_pscomp_1(D, k2_borsuk_1(k15_euclid(A), k15_euclid(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(A), k15_euclid(A))), k1_numbers)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k15_euclid(A)), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), k1_numbers)))) )  =>  ( (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(A))) =>  (? [G] :  (m1_subset_1(G, k1_zfmisc_1(k1_numbers)) &  (G=a_4_0_jordan_a(A, C, D, F) & k3_funct_2(u1_struct_0(k15_euclid(A)), k1_numbers, E, F)=k3_seq_4(G)) ) ) ) )  => k3_seq_4(k7_relset_1(u1_struct_0(k2_borsuk_1(k15_euclid(A), k15_euclid(A))), k1_numbers, D, k3_borsuk_1(k15_euclid(A), k15_euclid(A), B, C)))=k3_seq_4(k7_relset_1(u1_struct_0(k15_euclid(A)), k1_numbers, E, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_jordan_a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A))))) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_compts_1(C, k15_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k2_borsuk_1(k15_euclid(A), k15_euclid(A))), k1_numbers) &  (v1_pscomp_1(D, k2_borsuk_1(k15_euclid(A), k15_euclid(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(A), k15_euclid(A))), k1_numbers)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k15_euclid(A)), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), k1_numbers)))) )  =>  ( (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(A))) =>  (? [G] :  (m1_subset_1(G, k1_zfmisc_1(k1_numbers)) &  (G=a_4_1_jordan_a(A, B, D, F) & k3_funct_2(u1_struct_0(k15_euclid(A)), k1_numbers, E, F)=k3_seq_4(G)) ) ) ) )  => k3_seq_4(k7_relset_1(u1_struct_0(k2_borsuk_1(k15_euclid(A), k15_euclid(A))), k1_numbers, D, k3_borsuk_1(k15_euclid(A), k15_euclid(A), B, C)))=k3_seq_4(k7_relset_1(u1_struct_0(k15_euclid(A)), k1_numbers, E, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_jordan_a, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_jordan_a(B, A) =>  (! [C] :  (v1_xreal_0(C) =>  (C=k4_jordan_a(A, B) <=>  (? [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers))) )  &  (D=a_2_0_jordan_a(A, B) & C=k1_xxreal_2(D)) ) ) ) ) ) ) ) ) ) ).
fof(d7_jordan_a, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_jordan_a(B, A) =>  (! [C] :  (v1_xreal_0(C) =>  (C=k5_jordan_a(A, B) <=>  (? [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers))) )  &  (? [E] :  ( ( ~ (v1_xboole_0(E))  &  (v1_finset_1(E) & m1_subset_1(E, k1_zfmisc_1(k1_numbers))) )  &  (D=a_2_1_jordan_a(A, B) &  (E=a_2_2_jordan_a(A, B) & C=k3_xxreal_0(k2_xxreal_2(D), k2_xxreal_2(E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_jordan_a, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_jordan_a(B, A) =>  (? [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  &  (C=a_2_3_jordan_a(A, B) & k5_jordan_a(A, B)=k2_xxreal_2(C)) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_jordan_a, axiom,  (! [A, B, C, D, E] :  ( (v7_ordinal1(B) &  ( ( ~ (v1_xboole_0(C))  &  (v2_compts_1(C, k15_euclid(B)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(B))))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k2_borsuk_1(k15_euclid(B), k15_euclid(B))), k1_numbers) &  (v1_pscomp_1(D, k2_borsuk_1(k15_euclid(B), k15_euclid(B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(B), k15_euclid(B))), k1_numbers)))) ) )  & m1_subset_1(E, u1_struct_0(k15_euclid(B)))) ) )  =>  (r2_hidden(A, a_4_0_jordan_a(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(B))) &  (A=k1_binop_1(D, E, F) & r2_tarski(F, C)) ) ) ) ) ) ).
fof(fraenkel_a_4_1_jordan_a, axiom,  (! [A, B, C, D, E] :  ( (v7_ordinal1(B) &  ( ( ~ (v1_xboole_0(C))  &  (v2_compts_1(C, k15_euclid(B)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(B))))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k2_borsuk_1(k15_euclid(B), k15_euclid(B))), k1_numbers) &  (v1_pscomp_1(D, k2_borsuk_1(k15_euclid(B), k15_euclid(B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(B), k15_euclid(B))), k1_numbers)))) ) )  & m1_subset_1(E, u1_struct_0(k15_euclid(B)))) ) )  =>  (r2_hidden(A, a_4_1_jordan_a(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(B))) &  (A=k1_binop_1(D, F, E) & r2_tarski(F, C)) ) ) ) ) ) ).
fof(fraenkel_a_2_0_jordan_a, axiom,  (! [A, B, C] :  ( ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  & m1_jordan_a(C, B))  =>  (r2_hidden(A, a_2_0_jordan_a(B, C)) <=>  (? [D] :  (m1_subset_1(D, k4_ordinal1) &  (A=k3_jordan_a(2, k2_jordan_a(B, D, C)) & r2_tarski(D, k4_finseq_1(C))) ) ) ) ) ) ).
fof(fraenkel_a_2_1_jordan_a, axiom,  (! [A, B, C] :  ( ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  & m1_jordan_a(C, B))  =>  (r2_hidden(A, a_2_1_jordan_a(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, k4_ordinal1) & m1_subset_1(E, k4_ordinal1))  &  (A=k4_jordan1k(2, k2_jordan_a(B, D, C), k2_jordan_a(B, E, C)) &  (r1_xxreal_0(1, D) &  ( ~ (r1_xxreal_0(E, D))  &  ( ~ (r1_xxreal_0(k3_finseq_1(C), E))  &  ~ (r1_gobrd10(D, E)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_2_jordan_a, axiom,  (! [A, B, C] :  ( ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  & m1_jordan_a(C, B))  =>  (r2_hidden(A, a_2_2_jordan_a(B, C)) <=>  (? [D] :  (m1_subset_1(D, k4_ordinal1) &  (A=k4_jordan1k(2, k2_jordan_a(B, k3_finseq_1(C), C), k2_jordan_a(B, D, C)) &  ( ~ (r1_xxreal_0(D, 1))  &  ~ (r1_xxreal_0(k7_nat_d(k3_finseq_1(C), 1), D)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_3_jordan_a, axiom,  (! [A, B, C] :  ( ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  & m1_jordan_a(C, B))  =>  (r2_hidden(A, a_2_3_jordan_a(B, C)) <=>  (? [D, E] :  ( (v7_ordinal1(D) & v7_ordinal1(E))  &  (A=k4_jordan1k(2, k2_jordan_a(B, D, C), k2_jordan_a(B, E, C)) &  (r1_xxreal_0(1, D) &  ( ~ (r1_xxreal_0(E, D))  &  (r1_xxreal_0(E, k3_finseq_1(C)) & r1_subset_1(k2_jordan_a(B, D, C), k2_jordan_a(B, E, C))) ) ) ) ) ) ) ) ) ).
fof(rc1_knaster, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & v6_cohsp_1(C)) ) ) ) ) ) ) ) ) ).
fof(rc2_knaster, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  (v2_knaster(B, A) & v3_knaster(B, A)) ) ) ) ) ) ).
fof(cc1_knaster, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & v4_lattice3(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & v15_lattices(A)) ) ) ) ) ).
fof(t1_knaster, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (C=k2_xboole_0(A, B) & r1_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)))  =>  (v2_funct_1(C) <=>  (v2_funct_1(A) &  (v2_funct_1(B) & r1_xboole_0(k10_xtuple_0(A), k10_xtuple_0(B))) ) ) ) ) ) ) ) ) ) ).
fof(t2_knaster, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) )  =>  (r1_abian(A, k1_abian(B, D, C)) => r1_abian(k1_funct_1(D, A), k1_abian(B, D, C))) ) ) ) ) ) ) ).
fof(t3_knaster, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B)))) )  =>  ( (? [D] :  (m1_subset_1(D, k4_ordinal1) &  (r1_abian(A, k1_abian(B, C, D)) &  (! [E] :  (r1_abian(E, k1_abian(B, C, D)) => A=E) ) ) ) )  => r1_abian(A, C)) ) ) ) ) ).
fof(d1_knaster, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v6_cohsp_1(C) <=>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (r1_tarski(D, E) => r1_tarski(k3_funct_2(A, B, C, D), k3_funct_2(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_knaster, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k9_setfam_1(A), k9_setfam_1(A)) &  (v6_cohsp_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A))))) ) )  => r2_abian(k9_setfam_1(A), k1_knaster(A, B), B)) ) ) ).
fof(t5_knaster, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k9_setfam_1(A), k9_setfam_1(A)) &  (v6_cohsp_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A))))) ) )  => r2_abian(k9_setfam_1(A), k2_knaster(A, B), B)) ) ) ).
fof(t6_knaster, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k9_setfam_1(A), k9_setfam_1(A)) &  (v6_cohsp_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (r1_tarski(k3_funct_2(k1_zfmisc_1(A), k9_setfam_1(A), B, C), C) => r1_tarski(k1_knaster(A, B), C)) ) ) ) ) ) ).
fof(t7_knaster, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k9_setfam_1(A), k9_setfam_1(A)) &  (v6_cohsp_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (r1_tarski(C, k3_funct_2(k1_zfmisc_1(A), k9_setfam_1(A), B, C)) => r1_tarski(C, k2_knaster(A, B))) ) ) ) ) ) ).
fof(t8_knaster, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k9_setfam_1(A), k9_setfam_1(A)) &  (v6_cohsp_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (r2_abian(k9_setfam_1(A), C, B) =>  (r1_tarski(k1_knaster(A, B), C) & r1_tarski(C, k2_knaster(A, B))) ) ) ) ) ) ) ).
fof(t9_knaster, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (? [E] :  (? [F] :  (? [G] :  (? [H] :  (r1_xboole_0(E, F) &  (r1_xboole_0(G, H) &  (k2_xboole_0(E, F)=A &  (k2_xboole_0(G, H)=B &  (k7_relset_1(A, B, C, E)=G & k7_relset_1(B, A, D, H)=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_knaster, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  ~ ( (v2_funct_1(C) &  (v2_funct_1(D) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ~ (v3_funct_2(E, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_knaster, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v3_funct_2(C, A, B) => r3_tarski(A, B)) ) ) ) ) ) ) ).
fof(t12_knaster, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  ( (v2_funct_1(C) & v2_funct_1(D))  => r3_tarski(A, B)) ) ) ) ) ) ) ) ) ).
fof(d4_knaster, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v3_ordinal1(D) =>  (! [E] :  (E=k3_knaster(A, B, C, D) <=>  (? [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v5_ordinal1(F)) )  &  (E=k1_ordinal2(F) &  (k9_xtuple_0(F)=k1_ordinal1(D) &  (k1_funct_1(F, k5_numbers)=C &  ( (! [G] :  (v3_ordinal1(G) =>  (r2_tarski(k1_ordinal1(G), k1_ordinal1(D)) => k1_funct_1(F, k1_ordinal1(G))=k1_funct_1(B, k1_funct_1(F, G))) ) )  &  (! [G] :  (v3_ordinal1(G) =>  ( (r2_tarski(G, k1_ordinal1(D)) & v4_ordinal1(G))  =>  (G=k5_numbers | k1_funct_1(F, G)=k15_lattice3(A, k2_relset_1(k10_xtuple_0(F), k5_relat_1(F, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_knaster, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v3_ordinal1(D) =>  (! [E] :  (E=k4_knaster(A, B, C, D) <=>  (? [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v5_ordinal1(F)) )  &  (E=k1_ordinal2(F) &  (k9_xtuple_0(F)=k1_ordinal1(D) &  (k1_funct_1(F, k5_numbers)=C &  ( (! [G] :  (v3_ordinal1(G) =>  (r2_tarski(k1_ordinal1(G), k1_ordinal1(D)) => k1_funct_1(F, k1_ordinal1(G))=k1_funct_1(B, k1_funct_1(F, G))) ) )  &  (! [G] :  (v3_ordinal1(G) =>  ( (r2_tarski(G, k1_ordinal1(D)) & v4_ordinal1(G))  =>  (G=k5_numbers | k1_funct_1(F, G)=k16_lattice3(A, k2_relset_1(k10_xtuple_0(F), k5_relat_1(F, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_knaster, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_knaster(A, B, C, k5_numbers)=C) ) ) ) ) ) ).
fof(t14_knaster, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_knaster(A, B, C, k5_numbers)=C) ) ) ) ) ) ).
fof(t15_knaster, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v3_ordinal1(D) => k3_knaster(A, B, C, k1_ordinal1(D))=k1_funct_1(B, k3_knaster(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t16_knaster, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v3_ordinal1(D) => k4_knaster(A, B, C, k1_ordinal1(D))=k1_funct_1(B, k4_knaster(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t17_knaster, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v3_ordinal1(D) =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v5_ordinal1(E)) )  =>  ( (v4_ordinal1(D) &  (k9_xtuple_0(E)=D &  (! [F] :  (v3_ordinal1(F) =>  (r2_tarski(F, D) => k1_funct_1(E, F)=k3_knaster(A, B, C, F)) ) ) ) )  =>  (D=k5_numbers | k3_knaster(A, B, C, D)=k15_lattice3(A, k10_xtuple_0(E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_knaster, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v3_ordinal1(D) =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v5_ordinal1(E)) )  =>  ( (v4_ordinal1(D) &  (k9_xtuple_0(E)=D &  (! [F] :  (v3_ordinal1(F) =>  (r2_tarski(F, D) => k1_funct_1(E, F)=k4_knaster(A, B, C, F)) ) ) ) )  =>  (D=k5_numbers | k4_knaster(A, B, C, D)=k16_lattice3(A, k10_xtuple_0(E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_knaster, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k3_funct_2(u1_struct_0(B), u1_struct_0(B), k1_abian(u1_struct_0(B), C, A), D)=k3_knaster(B, C, D, A)) ) ) ) ) ) ) ) ).
fof(t20_knaster, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k3_funct_2(u1_struct_0(B), u1_struct_0(B), k1_abian(u1_struct_0(B), C, A), D)=k4_knaster(B, C, D, A)) ) ) ) ) ) ) ) ).
fof(d6_knaster, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_knaster(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(C, B) &  (r2_tarski(D, B) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_tarski(E, B) &  (r1_lattices(A, C, E) &  (r1_lattices(A, D, E) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_tarski(F, B) &  (r1_lattices(A, C, F) & r1_lattices(A, D, F)) )  => r1_lattices(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_knaster, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_knaster(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(C, B) &  (r2_tarski(D, B) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_tarski(E, B) &  (r1_lattices(A, E, C) &  (r1_lattices(A, E, D) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_tarski(F, B) &  (r1_lattices(A, F, C) & r1_lattices(A, F, D)) )  => r1_lattices(A, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_knaster, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_knaster(B, A) &  (v3_knaster(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v3_lattices(C) &  (v10_lattices(C) & l3_lattices(C)) ) )  =>  (C=k7_knaster(A, B) <=>  (u1_struct_0(C)=B &  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  (D=F &  (E=G &  ( (r3_lattices(C, D, E) => r3_lattices(A, F, G))  &  (r3_lattices(A, F, G) => r3_lattices(C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_knaster, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v14_quantal1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & r2_abian(u1_struct_0(A), C, B)) ) ) ) ) ) ).
fof(t22_knaster, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v14_quantal1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_lattices(A, C, k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, C)) =>  (! [D] :  (v3_ordinal1(D) => r3_lattices(A, C, k5_knaster(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t23_knaster, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v14_quantal1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_lattices(A, k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, C), C) =>  (! [D] :  (v3_ordinal1(D) => r3_lattices(A, k6_knaster(A, B, C, D), C)) ) ) ) ) ) ) ) ) ).
fof(t24_knaster, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v14_quantal1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_lattices(A, C, k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, C)) =>  (! [D] :  (v3_ordinal1(D) =>  (! [E] :  (v3_ordinal1(E) =>  (r1_ordinal1(D, E) => r3_lattices(A, k5_knaster(A, B, C, D), k5_knaster(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_knaster, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v14_quantal1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_lattices(A, k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, C), C) =>  (! [D] :  (v3_ordinal1(D) =>  (! [E] :  (v3_ordinal1(E) =>  (r1_ordinal1(D, E) => r3_lattices(A, k6_knaster(A, B, C, E), k6_knaster(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_knaster, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v14_quantal1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_lattices(A, C, k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, C)) =>  (! [D] :  (v3_ordinal1(D) =>  (! [E] :  (v3_ordinal1(E) =>  ~ ( (r2_xboole_0(D, E) &  ( ~ (r2_abian(u1_struct_0(A), k5_knaster(A, B, C, E), B))  & k5_knaster(A, B, C, D)=k5_knaster(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_knaster, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v14_quantal1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_lattices(A, k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, C), C) =>  (! [D] :  (v3_ordinal1(D) =>  (! [E] :  (v3_ordinal1(E) =>  ~ ( (r2_xboole_0(D, E) &  ( ~ (r2_abian(u1_struct_0(A), k6_knaster(A, B, C, E), B))  & k6_knaster(A, B, C, D)=k6_knaster(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_knaster, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v4_lattice3(B) & l3_lattices(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(B)) &  (v14_quantal1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  ( (r3_lattices(B, D, k3_funct_2(u1_struct_0(B), u1_struct_0(B), C, D)) & r2_abian(u1_struct_0(B), k5_knaster(B, C, D, A), C))  =>  (! [E] :  (v3_ordinal1(E) =>  (r1_ordinal1(A, E) => k5_knaster(B, C, D, A)=k5_knaster(B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_knaster, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v4_lattice3(B) & l3_lattices(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(B)) &  (v14_quantal1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  ( (r3_lattices(B, k3_funct_2(u1_struct_0(B), u1_struct_0(B), C, D), D) & r2_abian(u1_struct_0(B), k6_knaster(B, C, D, A), C))  =>  (! [E] :  (v3_ordinal1(E) =>  (r1_ordinal1(A, E) => k6_knaster(B, C, D, A)=k6_knaster(B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_knaster, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v14_quantal1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r3_lattices(A, C, k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, C)) &  (! [D] :  (v3_ordinal1(D) =>  ~ ( (r1_ordinal1(k1_card_1(D), k1_card_1(u1_struct_0(A))) & r2_abian(u1_struct_0(A), k5_knaster(A, B, C, D), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_knaster, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v14_quantal1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r3_lattices(A, k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, C), C) &  (! [D] :  (v3_ordinal1(D) =>  ~ ( (r1_ordinal1(k1_card_1(D), k1_card_1(u1_struct_0(A))) & r2_abian(u1_struct_0(A), k6_knaster(A, B, C, D), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_knaster, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v14_quantal1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_abian(u1_struct_0(A), C, B) &  (r2_abian(u1_struct_0(A), D, B) &  (! [E] :  (v3_ordinal1(E) =>  ~ ( (r1_ordinal1(k1_card_1(E), k1_card_1(u1_struct_0(A))) &  (r2_abian(u1_struct_0(A), k5_knaster(A, B, k3_lattices(A, C, D), E), B) &  (r3_lattices(A, C, k5_knaster(A, B, k3_lattices(A, C, D), E)) & r3_lattices(A, D, k5_knaster(A, B, k3_lattices(A, C, D), E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_knaster, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v14_quantal1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_abian(u1_struct_0(A), C, B) &  (r2_abian(u1_struct_0(A), D, B) &  (! [E] :  (v3_ordinal1(E) =>  ~ ( (r1_ordinal1(k1_card_1(E), k1_card_1(u1_struct_0(A))) &  (r2_abian(u1_struct_0(A), k6_knaster(A, B, k4_lattices(A, C, D), E), B) &  (r3_lattices(A, k6_knaster(A, B, k4_lattices(A, C, D), E), C) & r3_lattices(A, k6_knaster(A, B, k4_lattices(A, C, D), E), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_knaster, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v14_quantal1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r3_lattices(A, C, D) & r2_abian(u1_struct_0(A), D, B))  =>  (! [E] :  (v3_ordinal1(E) => r3_lattices(A, k5_knaster(A, B, C, E), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_knaster, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v14_quantal1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r3_lattices(A, D, C) & r2_abian(u1_struct_0(A), D, B))  =>  (! [E] :  (v3_ordinal1(E) => r3_lattices(A, D, k6_knaster(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_knaster, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v14_quantal1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  => r1_tarski(u1_struct_0(k8_knaster(A, B)), u1_struct_0(A))) ) ) ) ).
fof(t38_knaster, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v14_quantal1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, u1_struct_0(k8_knaster(A, B))) <=> r2_abian(u1_struct_0(A), C, B)) ) ) ) ) ) ) ).
fof(t39_knaster, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v14_quantal1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k8_knaster(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k8_knaster(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (C=E & D=F)  =>  (r3_lattices(k8_knaster(A, B), C, D) <=> r3_lattices(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_knaster, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v14_quantal1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  => v4_lattice3(k8_knaster(A, B))) ) ) ) ).
fof(d10_knaster, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v14_quantal1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  => k9_knaster(A, B)=k5_knaster(A, B, k5_lattices(A), k2_card_1(u1_struct_0(A)))) ) ) ) ).
fof(d11_knaster, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v14_quantal1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  => k10_knaster(A, B)=k6_knaster(A, B, k6_lattices(A), k2_card_1(u1_struct_0(A)))) ) ) ) ).
fof(t41_knaster, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v14_quantal1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (r2_abian(u1_struct_0(A), k9_knaster(A, B), B) &  (? [C] :  (v3_ordinal1(C) &  (r1_ordinal1(k1_card_1(C), k1_card_1(u1_struct_0(A))) & k5_knaster(A, B, k5_lattices(A), C)=k9_knaster(A, B)) ) ) ) ) ) ) ) ).
fof(t42_knaster, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v14_quantal1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (r2_abian(u1_struct_0(A), k10_knaster(A, B), B) &  (? [C] :  (v3_ordinal1(C) &  (r1_ordinal1(k1_card_1(C), k1_card_1(u1_struct_0(A))) & k6_knaster(A, B, k6_lattices(A), C)=k10_knaster(A, B)) ) ) ) ) ) ) ) ).
fof(t43_knaster, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v14_quantal1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_abian(u1_struct_0(A), C, B) =>  (r3_lattices(A, k9_knaster(A, B), C) & r3_lattices(A, C, k10_knaster(A, B))) ) ) ) ) ) ) ) ).
fof(t44_knaster, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v14_quantal1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_lattices(A, k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, C), C) => r3_lattices(A, k9_knaster(A, B), C)) ) ) ) ) ) ) ).
fof(t45_knaster, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v14_quantal1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_lattices(A, C, k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, C)) => r3_lattices(A, C, k10_knaster(A, B))) ) ) ) ) ) ) ).
fof(t46_knaster, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k1_lattice3(A)), u1_struct_0(k1_lattice3(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_lattice3(A)), u1_struct_0(k1_lattice3(A)))))) )  =>  (v14_quantal1(B, k1_lattice3(A)) <=> v6_cohsp_1(B)) ) ) ) ) ).
fof(t47_knaster, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k1_lattice3(A)), u1_struct_0(k1_lattice3(A))) &  (v14_quantal1(B, k1_lattice3(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_lattice3(A)), u1_struct_0(k1_lattice3(A)))))) ) )  =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k9_setfam_1(A), k9_setfam_1(A)) &  (v6_cohsp_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A))))) ) )  & k1_knaster(A, C)=k9_knaster(k1_lattice3(A), B)) ) ) ) ) ) ).
fof(t48_knaster, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k1_lattice3(A)), u1_struct_0(k1_lattice3(A))) &  (v14_quantal1(B, k1_lattice3(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_lattice3(A)), u1_struct_0(k1_lattice3(A)))))) ) )  =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k9_setfam_1(A), k9_setfam_1(A)) &  (v6_cohsp_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A))))) ) )  & k2_knaster(A, C)=k10_knaster(k1_lattice3(A), B)) ) ) ) ) ) ).
fof(s1_knaster, axiom,  ( ( (! [A] :  (! [B] :  (r1_tarski(A, B) => r1_tarski(f2_s1_knaster(A), f2_s1_knaster(B))) ) )  & r1_tarski(f2_s1_knaster(f1_s1_knaster), f1_s1_knaster))  =>  (? [A] :  (f2_s1_knaster(A)=A & r1_tarski(A, f1_s1_knaster)) ) ) ).
fof(redefinition_v1_knaster, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) )  =>  (v1_knaster(C, A, B) <=> v6_cohsp_1(C)) ) ) ).
fof(dt_k1_knaster, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k9_setfam_1(A), k9_setfam_1(A)) &  (v6_cohsp_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A))))) ) )  => m1_subset_1(k1_knaster(A, B), k1_zfmisc_1(A))) ) ).
fof(dt_k2_knaster, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k9_setfam_1(A), k9_setfam_1(A)) &  (v6_cohsp_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A))))) ) )  => m1_subset_1(k2_knaster(A, B), k1_zfmisc_1(A))) ) ).
fof(dt_k5_knaster, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  &  (m1_subset_1(C, u1_struct_0(A)) & v3_ordinal1(D)) ) )  => m1_subset_1(k5_knaster(A, B, C, D), u1_struct_0(A))) ) ).
fof(redefinition_k5_knaster, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  &  (m1_subset_1(C, u1_struct_0(A)) & v3_ordinal1(D)) ) )  => k5_knaster(A, B, C, D)=k3_knaster(A, B, C, D)) ) ).
fof(dt_k6_knaster, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  &  (m1_subset_1(C, u1_struct_0(A)) & v3_ordinal1(D)) ) )  => m1_subset_1(k6_knaster(A, B, C, D), u1_struct_0(A))) ) ).
fof(redefinition_k6_knaster, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  &  (m1_subset_1(C, u1_struct_0(A)) & v3_ordinal1(D)) ) )  => k6_knaster(A, B, C, D)=k4_knaster(A, B, C, D)) ) ).
fof(dt_k7_knaster, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v2_knaster(B, A) &  (v3_knaster(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  ( ~ (v2_struct_0(k7_knaster(A, B)))  &  (v3_lattices(k7_knaster(A, B)) &  (v10_lattices(k7_knaster(A, B)) & l3_lattices(k7_knaster(A, B))) ) ) ) ) ).
fof(dt_k8_knaster, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  ( ~ (v2_struct_0(k8_knaster(A, B)))  &  (v3_lattices(k8_knaster(A, B)) &  (v10_lattices(k8_knaster(A, B)) & l3_lattices(k8_knaster(A, B))) ) ) ) ) ).
fof(dt_k9_knaster, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v14_quantal1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) )  => m1_subset_1(k9_knaster(A, B), u1_struct_0(A))) ) ).
fof(dt_k10_knaster, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v14_quantal1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) )  => m1_subset_1(k10_knaster(A, B), u1_struct_0(A))) ) ).
fof(d2_knaster, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k9_setfam_1(A), k9_setfam_1(A)) &  (v6_cohsp_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A))))) ) )  => k1_knaster(A, B)=k1_setfam_1(a_2_0_knaster(A, B))) ) ) ).
fof(d3_knaster, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k9_setfam_1(A), k9_setfam_1(A)) &  (v6_cohsp_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(A))))) ) )  => k2_knaster(A, B)=k3_tarski(a_2_1_knaster(A, B))) ) ) ).
fof(d9_knaster, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (v14_quantal1(B, A) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v3_lattices(C) &  (v10_lattices(C) & l3_lattices(C)) ) )  =>  (C=k8_knaster(A, B) <=>  (? [D] :  ( ( ~ (v1_xboole_0(D))  &  (v2_knaster(D, A) &  (v3_knaster(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) )  &  (D=a_2_2_knaster(A, B) & C=k7_knaster(A, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_knaster, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v14_quantal1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  => u1_struct_0(k8_knaster(A, B))=a_2_3_knaster(A, B)) ) ) ) ).
fof(fraenkel_a_2_0_knaster, axiom,  (! [A, B, C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k9_setfam_1(B), k9_setfam_1(B)) &  (v6_cohsp_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(B), k9_setfam_1(B))))) ) )  =>  (r2_hidden(A, a_2_0_knaster(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) &  (A=D & r1_tarski(k3_funct_2(k1_zfmisc_1(B), k9_setfam_1(B), C, D), D)) ) ) ) ) ) ).
fof(fraenkel_a_2_1_knaster, axiom,  (! [A, B, C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k9_setfam_1(B), k9_setfam_1(B)) &  (v6_cohsp_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(B), k9_setfam_1(B))))) ) )  =>  (r2_hidden(A, a_2_1_knaster(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) &  (A=D & r1_tarski(D, k3_funct_2(k1_zfmisc_1(B), k9_setfam_1(B), C, D))) ) ) ) ) ) ).
fof(fraenkel_a_2_2_knaster, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v4_lattice3(B) & l3_lattices(B)) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))))) ) )  =>  (r2_hidden(A, a_2_2_knaster(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & r2_abian(u1_struct_0(B), D, C)) ) ) ) ) ) ).
fof(fraenkel_a_2_3_knaster, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v4_lattice3(B) & l3_lattices(B)) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(B)) &  (v14_quantal1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))))) ) ) )  =>  (r2_hidden(A, a_2_3_knaster(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & r2_abian(u1_struct_0(B), D, C)) ) ) ) ) ) ).
fof(fc1_kolmog01, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  & m1_kolmog01(D, A, B, C)) )  =>  ~ (v1_xboole_0(k5_kolmog01(A, B, C, D))) ) ) ).
fof(fc2_kolmog01, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  & m1_kolmog01(D, A, B, C)) )  =>  ~ (v1_xboole_0(k6_kolmog01(A, B, C, D))) ) ) ).
fof(fc3_kolmog01, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  (m1_kolmog01(D, A, B, C) &  ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(A))) ) ) ) )  => v2_finsub_1(k7_kolmog01(B, C, A, E, D))) ) ).
fof(t1_kolmog01, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ~ ( (r1_tarski(B, k9_xtuple_0(A)) &  ( ~ (B=k1_xboole_0)  & k10_xtuple_0(k5_relat_1(A, B))=k1_xboole_0) ) ) ) ) ) ).
fof(t2_kolmog01, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( (k3_xcmplx_0(A, A)=A &  ( ~ (A=k5_numbers)  &  ~ (A=1) ) ) ) ) ) ).
fof(t3_kolmog01, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (B=k1_xboole_0 => k9_prob_1(A, B)=k2_tarski(k1_xboole_0, A)) ) ) ) ) ).
fof(d1_kolmog01, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (! [D] :  (m2_prob_1(D, A, B) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(B)) =>  (E=k1_kolmog01(A, B, C, D) <=>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  (r2_tarski(F, E) <=>  (! [G] :  (m1_subset_1(G, C) => k1_funct_1(D, k8_subset_1(A, F, G))=k3_xcmplx_0(k3_funct_2(B, k1_numbers, D, F), k1_funct_1(D, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_kolmog01, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(B)))  =>  (! [E] :  (m2_subset_1(E, B, D) =>  (! [F] :  ( (v5_relat_1(F, B) &  (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  ( ( (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  (! [H] :  (m2_subset_1(H, B, D) => k3_funct_2(B, k1_numbers, C, k5_prob_1(A, B, k1_prob_2(A, B, F, G), H))=k3_xcmplx_0(k3_funct_2(B, k1_numbers, C, k1_prob_2(A, B, F, G)), k3_funct_2(B, k1_numbers, C, H))) ) ) )  & v1_prob_2(F))  => k1_funct_1(C, k9_subset_1(A, E, k1_prob_1(A, F)))=k3_xcmplx_0(k3_funct_2(B, k1_numbers, C, E), k1_funct_1(C, k1_prob_1(A, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_kolmog01, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(B)))  => m1_dynkin(k1_kolmog01(A, B, D, C), A)) ) ) ) ) ) ) ) ).
fof(t6_kolmog01, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(B)))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(A))) =>  ( (v2_finsub_1(E) & r1_tarski(E, k1_kolmog01(A, B, D, C)))  => r1_tarski(k9_prob_1(A, E), k1_kolmog01(A, B, D, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_kolmog01, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(B)))  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(B)))  =>  (r1_tarski(D, k1_kolmog01(A, B, E, C)) <=>  (! [F] :  (m1_prob_1(F, A, B) =>  (! [G] :  (m1_prob_1(G, A, B) =>  ( (r2_tarski(F, D) & r2_tarski(G, E))  => r1_prob_2(A, B, C, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_kolmog01, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(B)))  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(B)))  =>  (r1_tarski(D, k1_kolmog01(A, B, E, C)) => r1_tarski(E, k1_kolmog01(A, B, D, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_kolmog01, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(A))) =>  ( ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(B)))  & v2_finsub_1(D))  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(B)))  =>  ( (v2_finsub_1(E) & r1_tarski(D, k1_kolmog01(A, B, E, C)))  =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [G] :  ( ( ~ (v1_xboole_0(G))  & m1_subset_1(G, k1_zfmisc_1(B)))  =>  ( (F=E & k9_prob_1(A, F)=G)  => r1_tarski(k9_prob_1(A, D), k1_kolmog01(A, B, G, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_kolmog01, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(A))) =>  ( ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(B)))  &  (v2_finsub_1(D) &  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(B)))  &  (v2_finsub_1(E) &  (! [F] :  (m1_prob_1(F, A, B) =>  (! [G] :  (m1_prob_1(G, A, B) =>  ( (r2_tarski(F, D) & r2_tarski(G, E))  => r1_prob_2(A, B, C, F, G)) ) ) ) ) ) ) ) )  =>  (! [F] :  (m1_prob_1(F, A, B) =>  (! [G] :  (m1_prob_1(G, A, B) =>  ( (r2_tarski(F, k9_prob_1(A, D)) & r2_tarski(G, k9_prob_1(A, E)))  => r1_prob_2(A, B, C, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_kolmog01, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k9_setfam_1(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k9_setfam_1(C))))) )  =>  (m1_kolmog01(D, A, B, C) <=>  (! [E] :  (r2_tarski(E, A) =>  ( ~ (v1_xboole_0(k13_prob_1(B, A, C, D, E)))  &  (v1_prob_1(k13_prob_1(B, A, C, D, E), B) &  (v4_prob_1(k13_prob_1(B, A, C, D, E), B) & m1_subset_1(k13_prob_1(B, A, C, D, E), k1_zfmisc_1(k1_zfmisc_1(B)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_kolmog01, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, D, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(D, B)))) )  =>  (r1_kolmog01(A, B, C, D, E) <=>  (! [F] :  ( (v2_funct_1(F) & m2_finseq_1(F, D))  =>  ( ~ (F=k1_xboole_0)  => k21_rvsum_1(k4_finseqop(D, k1_numbers, F, k1_partfun1(D, B, B, k1_numbers, E, C)))=k1_funct_1(C, k1_setfam_1(k2_relset_1(B, k4_finseqop(D, B, F, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_kolmog01, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(C)) =>  (! [E] :  (m1_kolmog01(E, C, A, B) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, B)))) )  =>  (m2_kolmog01(F, A, B, C, D, E) <=>  (! [G] :  (r2_tarski(G, D) => r2_tarski(k1_funct_1(F, G), k13_prob_1(A, C, B, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_kolmog01, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (! [E] :  (m1_kolmog01(E, D, A, B) =>  (r2_kolmog01(A, B, C, D, E) <=>  (! [F] :  ( (v1_finset_1(F) & m1_subset_1(F, k1_zfmisc_1(D)))  =>  (! [G] :  (m2_kolmog01(G, A, B, D, F, E) => r1_kolmog01(A, B, C, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_kolmog01, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [D] :  (m1_kolmog01(D, A, B, C) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) => k4_kolmog01(A, B, C, D, E)=k9_prob_1(B, k3_kolmog01(A, E, B, C, k2_kolmog01(A, B, C, D, E)))) ) ) ) ) ) ) ) ) ).
fof(d7_kolmog01, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [D] :  (m1_kolmog01(D, A, B, C) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(k9_setfam_1(B)))) =>  (E=k5_kolmog01(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k1_zfmisc_1(B))) =>  (r2_tarski(F, E) <=>  (? [G] :  ( (v1_finset_1(G) & m1_subset_1(G, k1_zfmisc_1(A)))  & F=k4_kolmog01(A, B, C, D, k6_subset_1(A, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_kolmog01, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [D] :  (m1_kolmog01(D, A, B, C) => k6_kolmog01(A, B, C, D)=k6_setfam_1(k9_setfam_1(B), k5_kolmog01(A, B, C, D))) ) ) ) ) ) ) ).
fof(d9_kolmog01, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(C)))  =>  (! [E] :  (m1_kolmog01(E, C, A, B) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (F=k7_kolmog01(A, B, C, D, E) <=>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(A)) =>  (r2_tarski(G, F) <=>  (? [H] :  ( ( ~ (v1_xboole_0(H))  &  (v1_finset_1(H) & m1_subset_1(H, k1_zfmisc_1(C))) )  &  (? [I] :  (m2_kolmog01(I, A, B, C, H, E) &  (r1_tarski(H, D) & G=k1_setfam_1(k2_relset_1(B, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_kolmog01, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  (m1_kolmog01(D, B, A, C) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(B)))  => k9_prob_1(A, k7_kolmog01(A, C, B, E, D))=k4_kolmog01(B, A, C, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(t12_kolmog01, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  (m2_prob_1(D, A, C) =>  (! [E] :  (m1_kolmog01(E, B, A, C) =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  & m1_subset_1(F, k1_zfmisc_1(B)))  =>  (! [G] :  ( ( ~ (v1_xboole_0(G))  & m1_subset_1(G, k1_zfmisc_1(B)))  =>  ( (r2_kolmog01(A, C, D, B, E) & r1_subset_1(F, G))  =>  (! [H] :  (m1_subset_1(H, k1_zfmisc_1(A)) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(A)) =>  ( (r2_tarski(H, k7_kolmog01(A, C, B, F, E)) & r2_tarski(I, k7_kolmog01(A, C, B, G, E)))  => k1_funct_1(D, k3_finsub_1(k1_zfmisc_1(A), H, I))=k3_xcmplx_0(k1_funct_1(D, H), k1_funct_1(D, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_kolmog01, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  (m1_kolmog01(D, B, A, C) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(B)))  =>  ( ~ (v1_xboole_0(k7_kolmog01(A, C, B, E, D)))  & m1_subset_1(k7_kolmog01(A, C, B, E, D), k1_zfmisc_1(C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_kolmog01, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  (m2_prob_1(D, A, C) =>  (! [E] :  (m1_kolmog01(E, B, A, C) =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  & m1_subset_1(F, k1_zfmisc_1(B)))  =>  (! [G] :  ( ( ~ (v1_xboole_0(G))  & m1_subset_1(G, k1_zfmisc_1(B)))  =>  ( (r2_kolmog01(A, C, D, B, E) & r1_subset_1(F, G))  =>  (! [H] :  (m1_prob_1(H, A, C) =>  (! [I] :  (m1_prob_1(I, A, C) =>  ( (r2_tarski(H, k4_kolmog01(B, A, C, E, F)) & r2_tarski(I, k4_kolmog01(B, A, C, E, G)))  => k3_funct_2(C, k1_numbers, D, k5_prob_1(A, C, H, I))=k3_xcmplx_0(k3_funct_2(C, k1_numbers, D, H), k3_funct_2(C, k1_numbers, D, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_kolmog01, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [D] :  (m1_kolmog01(D, A, B, C) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(B))) =>  (E=k8_kolmog01(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(B)) =>  (r2_tarski(F, E) <=>  (? [G] :  ( (v1_finset_1(G) & m1_subset_1(G, k1_zfmisc_1(A)))  & r2_tarski(F, k4_kolmog01(A, B, C, D, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_kolmog01, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  (m1_kolmog01(D, B, A, C) =>  ( ~ (v1_xboole_0(k6_kolmog01(B, A, C, D)))  &  (v1_prob_1(k6_kolmog01(B, A, C, D), A) &  (v4_prob_1(k6_kolmog01(B, A, C, D), A) & m1_subset_1(k6_kolmog01(B, A, C, D), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_kolmog01, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  (m2_prob_1(D, A, C) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), C) =>  (! [F] :  (m1_kolmog01(F, B, A, C) =>  ~ ( (r2_kolmog01(A, C, D, B, F) &  (r2_tarski(E, k6_kolmog01(B, A, C, F)) &  ( ~ (k3_funct_2(C, k1_numbers, D, E)=k5_numbers)  &  ~ (k3_funct_2(C, k1_numbers, D, E)=1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_kolmog01, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m1_subset_1(C, k1_zfmisc_1(B)) & m2_prob_1(D, A, B)) ) )  => m1_subset_1(k1_kolmog01(A, B, C, D), k1_zfmisc_1(B))) ) ).
fof(dt_m1_kolmog01, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) ) )  =>  (! [D] :  (m1_kolmog01(D, A, B, C) =>  (v1_funct_1(D) &  (v1_funct_2(D, A, k9_setfam_1(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k9_setfam_1(C))))) ) ) ) ) ) ).
fof(existence_m1_kolmog01, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) ) )  =>  (? [D] : m1_kolmog01(D, A, B, C)) ) ) ).
fof(dt_m2_kolmog01, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m1_subset_1(D, k1_zfmisc_1(C)) & m1_kolmog01(E, C, A, B)) ) )  =>  (! [F] :  (m2_kolmog01(F, A, B, C, D, E) =>  (v1_funct_1(F) &  (v1_funct_2(F, D, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, B)))) ) ) ) ) ) ).
fof(existence_m2_kolmog01, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m1_subset_1(D, k1_zfmisc_1(C)) & m1_kolmog01(E, C, A, B)) ) )  =>  (? [F] : m2_kolmog01(F, A, B, C, D, E)) ) ) ).
fof(dt_k2_kolmog01, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  (m1_kolmog01(D, A, B, C) & m1_subset_1(E, k1_zfmisc_1(A))) ) )  =>  (v1_funct_1(k2_kolmog01(A, B, C, D, E)) &  (v1_funct_2(k2_kolmog01(A, B, C, D, E), E, k9_setfam_1(C)) & m1_subset_1(k2_kolmog01(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(E, k9_setfam_1(C))))) ) ) ) ).
fof(redefinition_k2_kolmog01, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  (m1_kolmog01(D, A, B, C) & m1_subset_1(E, k1_zfmisc_1(A))) ) )  => k2_kolmog01(A, B, C, D, E)=k5_relat_1(D, E)) ) ).
fof(dt_k3_kolmog01, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_xboole_0(C))  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, C) &  (v4_prob_1(D, C) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(C)))) ) )  &  (v1_funct_1(E) &  (v1_funct_2(E, B, k9_setfam_1(D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k9_setfam_1(D))))) ) ) ) )  => m1_subset_1(k3_kolmog01(A, B, C, D, E), k1_zfmisc_1(k1_zfmisc_1(C)))) ) ).
fof(redefinition_k3_kolmog01, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_xboole_0(C))  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, C) &  (v4_prob_1(D, C) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(C)))) ) )  &  (v1_funct_1(E) &  (v1_funct_2(E, B, k9_setfam_1(D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k9_setfam_1(D))))) ) ) ) )  => k3_kolmog01(A, B, C, D, E)=k3_card_3(E)) ) ).
fof(dt_k4_kolmog01, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  (m1_kolmog01(D, A, B, C) & m1_subset_1(E, k1_zfmisc_1(A))) ) )  =>  ( ~ (v1_xboole_0(k4_kolmog01(A, B, C, D, E)))  &  (v1_prob_1(k4_kolmog01(A, B, C, D, E), B) &  (v4_prob_1(k4_kolmog01(A, B, C, D, E), B) & m1_subset_1(k4_kolmog01(A, B, C, D, E), k1_zfmisc_1(k1_zfmisc_1(B)))) ) ) ) ) ).
fof(dt_k5_kolmog01, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  & m1_kolmog01(D, A, B, C)) )  => m1_subset_1(k5_kolmog01(A, B, C, D), k1_zfmisc_1(k1_zfmisc_1(k9_setfam_1(B))))) ) ).
fof(dt_k6_kolmog01, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  & m1_kolmog01(D, A, B, C)) )  => m1_subset_1(k6_kolmog01(A, B, C, D), k1_zfmisc_1(k1_zfmisc_1(B)))) ) ).
fof(dt_k7_kolmog01, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ~ (v1_xboole_0(C))  &  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(C)))  & m1_kolmog01(E, C, A, B)) ) ) )  => m1_subset_1(k7_kolmog01(A, B, C, D, E), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ).
fof(dt_k8_kolmog01, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  & m1_kolmog01(D, A, B, C)) )  => m1_subset_1(k8_kolmog01(A, B, C, D), k1_zfmisc_1(k1_zfmisc_1(B)))) ) ).
fof(cc1_kurato_0, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A)))) =>  ( (v1_funct_1(B) & v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)))  =>  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) & v1_funct_2(B, k4_ordinal1, k9_setfam_1(A))) ) ) ) ) ) ).
fof(rc1_kurato_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A)))) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k9_setfam_1(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k4_ordinal1) & v1_funct_2(B, k4_ordinal1, k9_setfam_1(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(cc2_kurato_0, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A)))) =>  ( (v1_funct_1(B) &  (v3_funct_1(B) & v1_funct_2(B, k4_ordinal1, k9_setfam_1(A))) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) &  (v2_prob_1(B) &  (v3_prob_1(B) & v3_kurato_0(B, A)) ) ) ) ) ) ) ) ).
fof(rc2_kurato_0, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A)))) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k9_setfam_1(A)) &  (v1_funct_1(B) &  (v3_funct_1(B) &  (v1_partfun1(B, k4_ordinal1) & v1_funct_2(B, k4_ordinal1, k9_setfam_1(A))) ) ) ) ) ) ) ) ) ) ).
fof(t1_kurato_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (r2_tarski(B, k9_xtuple_0(A)) => r1_tarski(k3_funct_6(A), k1_funct_1(A, B))) ) ) ) ).
fof(t2_kurato_0, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ~ ( ( ~ (r1_xboole_0(A, B))  &  ( ~ (r1_xboole_0(C, D))  & r1_xboole_0(k2_zfmisc_1(A, C), k2_zfmisc_1(B, D))) ) ) ) ) ) ) ).
fof(d1_kurato_0, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (C=k3_kurato_0(A, B) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  &  (C=k1_kurato_0(A, D) &  (! [E] :  (v7_ordinal1(E) => k1_funct_1(D, E)=k2_kurato_0(A, k7_nat_1(k9_setfam_1(A), B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_kurato_0, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (C=k4_kurato_0(A, B) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  &  (C=k2_kurato_0(A, D) &  (! [E] :  (v7_ordinal1(E) => k1_funct_1(D, E)=k1_kurato_0(A, k7_nat_1(k9_setfam_1(A), B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_kurato_0, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [C] :  (r2_hidden(C, k2_kurato_0(A, B)) <=>  (! [D] :  (v7_ordinal1(D) => r2_hidden(C, k1_funct_1(B, D))) ) ) ) ) ) ) ).
fof(t4_kurato_0, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [C] :  (r2_hidden(C, k3_kurato_0(A, B)) <=>  (? [D] :  (v7_ordinal1(D) &  (! [E] :  (v7_ordinal1(E) => r2_hidden(C, k1_funct_1(B, k2_xcmplx_0(D, E)))) ) ) ) ) ) ) ) ) ).
fof(t5_kurato_0, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [C] :  (r2_hidden(C, k4_kurato_0(A, B)) <=>  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) & r2_hidden(C, k1_funct_1(B, k2_xcmplx_0(D, E)))) ) ) ) ) ) ) ) ) ).
fof(t6_kurato_0, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  => r1_tarski(k3_kurato_0(A, B), k4_kurato_0(A, B))) ) ) ).
fof(t7_kurato_0, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  => r1_tarski(k2_kurato_0(A, B), k3_kurato_0(A, B))) ) ) ).
fof(t8_kurato_0, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  => r1_tarski(k4_kurato_0(A, B), k1_kurato_0(A, B))) ) ) ).
fof(t9_kurato_0, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  => k3_kurato_0(A, B)=k3_subset_1(A, k4_kurato_0(A, k2_prob_1(A, B)))) ) ) ).
fof(t10_kurato_0, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  ( (! [E] :  (v7_ordinal1(E) => k1_funct_1(D, E)=k3_xboole_0(k1_funct_1(B, E), k1_funct_1(C, E))) )  => k3_kurato_0(A, D)=k9_subset_1(A, k3_kurato_0(A, B), k3_kurato_0(A, C))) ) ) ) ) ) ) ) ).
fof(t11_kurato_0, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  ( (! [E] :  (v7_ordinal1(E) => k1_funct_1(D, E)=k2_xboole_0(k1_funct_1(B, E), k1_funct_1(C, E))) )  => k4_kurato_0(A, D)=k4_subset_1(A, k4_kurato_0(A, B), k4_kurato_0(A, C))) ) ) ) ) ) ) ) ).
fof(t12_kurato_0, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  ( (! [E] :  (v7_ordinal1(E) => k1_funct_1(D, E)=k2_xboole_0(k1_funct_1(B, E), k1_funct_1(C, E))) )  => r1_tarski(k4_subset_1(A, k3_kurato_0(A, B), k3_kurato_0(A, C)), k3_kurato_0(A, D))) ) ) ) ) ) ) ) ).
fof(t13_kurato_0, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  ( (! [E] :  (v7_ordinal1(E) => k1_funct_1(D, E)=k3_xboole_0(k1_funct_1(B, E), k1_funct_1(C, E))) )  => r1_tarski(k4_kurato_0(A, D), k9_subset_1(A, k4_kurato_0(A, B), k4_kurato_0(A, C)))) ) ) ) ) ) ) ) ).
fof(t14_kurato_0, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  ( (! [D] :  (v7_ordinal1(D) => k1_funct_1(B, D)=C) )  => k4_kurato_0(A, B)=C) ) ) ) ) ) ).
fof(t15_kurato_0, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  ( (! [D] :  (v7_ordinal1(D) => k1_funct_1(B, D)=C) )  => k3_kurato_0(A, B)=C) ) ) ) ) ) ).
fof(t16_kurato_0, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  ( (! [E] :  (v7_ordinal1(E) => k1_funct_1(C, E)=k5_xboole_0(D, k1_funct_1(B, E))) )  => r1_tarski(k5_subset_1(A, D, k3_kurato_0(A, B)), k4_kurato_0(A, C))) ) ) ) ) ) ) ) ).
fof(t17_kurato_0, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  ( (! [E] :  (v7_ordinal1(E) => k1_funct_1(C, E)=k5_xboole_0(D, k1_funct_1(B, E))) )  => r1_tarski(k5_subset_1(A, D, k4_kurato_0(A, B)), k4_kurato_0(A, C))) ) ) ) ) ) ) ) ).
fof(t18_kurato_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  ( (! [B] :  (v7_ordinal1(B) => r1_tarski(k1_funct_1(A, k1_nat_1(B, 1)), k1_funct_1(A, B))) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, C) => r1_tarski(k1_funct_1(A, C), k1_funct_1(A, B))) ) ) ) ) ) ) ) ).
fof(d3_kurato_0, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (v2_prob_1(B) <=>  (! [C] :  (v7_ordinal1(C) => r1_tarski(k3_funct_2(k4_ordinal1, k9_setfam_1(A), B, k1_nat_1(C, 1)), k1_funct_1(B, C))) ) ) ) ) ) ).
fof(d4_kurato_0, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (v3_prob_1(B) <=>  (! [C] :  (v7_ordinal1(C) => r1_tarski(k1_funct_1(B, C), k3_funct_2(k4_ordinal1, k9_setfam_1(A), B, k1_nat_1(C, 1)))) ) ) ) ) ) ).
fof(t19_kurato_0, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [C] :  (v2_prob_1(B) =>  ( (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  ( ~ (r1_xxreal_0(E, D))  &  ~ (r2_hidden(C, k1_funct_1(B, E))) ) ) ) ) )  | r2_hidden(C, k2_kurato_0(A, B))) ) ) ) ) ) ).
fof(t20_kurato_0, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (v2_prob_1(B) => k3_kurato_0(A, B)=k2_kurato_0(A, B)) ) ) ) ).
fof(t21_kurato_0, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (v3_prob_1(B) => k4_kurato_0(A, B)=k1_kurato_0(A, B)) ) ) ) ).
fof(d5_kurato_0, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (v3_kurato_0(B, A) <=> k4_kurato_0(A, B)=k3_kurato_0(A, B)) ) ) ) ).
fof(t22_kurato_0, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (v3_funct_1(B) => m1_subset_1(k3_funct_1(B), k1_zfmisc_1(A))) ) ) ) ).
fof(t23_kurato_0, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) &  (v3_kurato_0(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [C] :  (r2_tarski(C, k4_kurato_0(A, B)) <=>  (? [D] :  (v7_ordinal1(D) &  (! [E] :  (v7_ordinal1(E) => r2_tarski(C, k1_funct_1(B, k2_xcmplx_0(D, E)))) ) ) ) ) ) ) ) ) ).
fof(dt_k1_kurato_0, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  => m1_subset_1(k1_kurato_0(A, B), k1_zfmisc_1(A))) ) ).
fof(redefinition_k1_kurato_0, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  => k1_kurato_0(A, B)=k3_card_3(B)) ) ).
fof(dt_k2_kurato_0, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  => m1_subset_1(k2_kurato_0(A, B), k1_zfmisc_1(A))) ) ).
fof(redefinition_k2_kurato_0, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  => k2_kurato_0(A, B)=k3_funct_6(B)) ) ).
fof(dt_k3_kurato_0, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  => m1_subset_1(k3_kurato_0(A, B), k1_zfmisc_1(A))) ) ).
fof(dt_k4_kurato_0, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  => m1_subset_1(k4_kurato_0(A, B), k1_zfmisc_1(A))) ) ).
fof(redefinition_v1_kurato_0, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (v1_kurato_0(B, A) <=> v2_prob_1(B)) ) ) ).
fof(redefinition_v2_kurato_0, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (v2_kurato_0(B, A) <=> v3_prob_1(B)) ) ) ).
fof(fc1_kurato_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => v1_finset_1(k1_kurato_1(A, B))) ) ).
fof(fc2_kurato_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => v1_finset_1(k2_kurato_1(A, B))) ) ).
fof(fc3_kurato_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => v1_finset_1(k5_kurato_1(A, B))) ) ).
fof(fc4_kurato_1, axiom,  ( ~ (v3_pre_topc(k6_kurato_1, k3_topmetr))  &  ~ (v4_pre_topc(k6_kurato_1, k3_topmetr)) ) ).
fof(fc5_kurato_1, axiom, v3_setfam_1(k3_kurato_1(k3_topmetr, k6_kurato_1), u1_struct_0(k3_topmetr))).
fof(fc6_kurato_1, axiom, v3_setfam_1(k4_kurato_1(k3_topmetr, k6_kurato_1), u1_struct_0(k3_topmetr))).
fof(fc7_kurato_1, axiom, v3_setfam_1(k2_kurato_1(k3_topmetr, k6_kurato_1), u1_struct_0(k3_topmetr))).
fof(fc8_kurato_1, axiom, v1_setfam_1(k2_kurato_1(k3_topmetr, k6_kurato_1))).
fof(fc9_kurato_1, axiom, v1_setfam_1(k3_kurato_1(k3_topmetr, k6_kurato_1))).
fof(fc10_kurato_1, axiom, v1_setfam_1(k4_kurato_1(k3_topmetr, k6_kurato_1))).
fof(rc1_kurato_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_topmetr)))) &  (v1_setfam_1(A) & v3_setfam_1(A, u1_struct_0(k3_topmetr))) ) ) ).
fof(fc11_kurato_1, axiom, v2_tops_2(k3_kurato_1(k3_topmetr, k6_kurato_1), k3_topmetr)).
fof(fc12_kurato_1, axiom, v1_tops_2(k4_kurato_1(k3_topmetr, k6_kurato_1), k3_topmetr)).
fof(fc13_kurato_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => v1_finset_1(k3_kurato_1(A, B))) ) ).
fof(fc14_kurato_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => v1_finset_1(k4_kurato_1(A, B))) ) ).
fof(fc15_kurato_1, axiom,  ~ (v1_xboole_0(k6_kurato_1)) ).
fof(fc16_kurato_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ (v1_xboole_0(k2_kurato_1(A, B))) ) ) ).
fof(fc17_kurato_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => v1_kurato_1(k2_kurato_1(A, B), A)) ) ).
fof(fc18_kurato_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => v1_prob_1(k2_kurato_1(A, B), u1_struct_0(A))) ) ).
fof(fc19_kurato_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ (v1_xboole_0(k5_kurato_1(A, B))) ) ) ).
fof(fc20_kurato_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => v2_kurato_1(k5_kurato_1(A, B), A)) ) ).
fof(fc21_kurato_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => v1_kurato_1(k5_kurato_1(A, B), A)) ) ).
fof(rc2_kurato_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) &  ( ~ (v1_xboole_0(B))  &  (v1_kurato_1(B, A) & v2_kurato_1(B, A)) ) ) ) ) ) ).
fof(rc3_kurato_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) &  ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, u1_struct_0(A)) & v1_kurato_1(B, A)) ) ) ) ) ) ).
fof(t1_kurato_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, B)))))))=k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, B)))) ) ) ) ).
fof(d1_kurato_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k1_kurato_1(A, B)=k5_enumset1(B, k2_pre_topc(A, B), k3_subset_1(u1_struct_0(A), k2_pre_topc(A, B)), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, B))), k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, B)))), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, B))))), k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, B)))))))) ) ) ) ).
fof(d2_kurato_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k2_kurato_1(A, B)=k2_xboole_0(k5_enumset1(B, k2_pre_topc(A, B), k3_subset_1(u1_struct_0(A), k2_pre_topc(A, B)), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, B))), k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, B)))), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, B))))), k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, B))))))), k5_enumset1(k3_subset_1(u1_struct_0(A), B), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), B)), k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), B))), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), B)))), k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), B))))), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), B)))))), k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), B)))))))))) ) ) ) ).
fof(t2_kurato_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k2_kurato_1(A, B)=k2_xboole_0(k1_kurato_1(A, B), k1_kurato_1(A, k3_subset_1(u1_struct_0(A), B)))) ) ) ) ).
fof(t3_kurato_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(B, k2_kurato_1(A, B)) &  (r2_tarski(k2_pre_topc(A, B), k2_kurato_1(A, B)) &  (r2_tarski(k3_subset_1(u1_struct_0(A), k2_pre_topc(A, B)), k2_kurato_1(A, B)) &  (r2_tarski(k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, B))), k2_kurato_1(A, B)) &  (r2_tarski(k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, B)))), k2_kurato_1(A, B)) &  (r2_tarski(k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, B))))), k2_kurato_1(A, B)) & r2_tarski(k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, B)))))), k2_kurato_1(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(t4_kurato_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(k3_subset_1(u1_struct_0(A), B), k2_kurato_1(A, B)) &  (r2_tarski(k2_pre_topc(A, k3_subset_1(u1_struct_0(A), B)), k2_kurato_1(A, B)) &  (r2_tarski(k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), B))), k2_kurato_1(A, B)) &  (r2_tarski(k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), B)))), k2_kurato_1(A, B)) &  (r2_tarski(k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), B))))), k2_kurato_1(A, B)) &  (r2_tarski(k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), B)))))), k2_kurato_1(A, B)) & r2_tarski(k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), B))))))), k2_kurato_1(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(d3_kurato_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k3_kurato_1(A, B)=k4_enumset1(k2_pre_topc(A, B), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, B))), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, B))))), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), B)), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), B)))), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), B)))))))) ) ) ) ).
fof(d4_kurato_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k4_kurato_1(A, B)=k4_enumset1(k3_subset_1(u1_struct_0(A), k2_pre_topc(A, B)), k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, B)))), k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, B)))))), k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), B))), k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), B))))), k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), k2_pre_topc(A, k3_subset_1(u1_struct_0(A), B))))))))) ) ) ) ).
fof(t5_kurato_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k2_kurato_1(A, B)=k2_xboole_0(k2_xboole_0(k2_tarski(B, k3_subset_1(u1_struct_0(A), B)), k3_kurato_1(A, B)), k4_kurato_1(A, B))) ) ) ) ).
fof(t6_kurato_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(C, k2_kurato_1(A, B)) =>  (r2_tarski(k3_subset_1(u1_struct_0(A), C), k2_kurato_1(A, B)) & r2_tarski(k2_pre_topc(A, C), k2_kurato_1(A, B))) ) ) ) ) ) ) ) ).
fof(t7_kurato_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => r1_xxreal_0(k4_card_1(k2_kurato_1(A, B)), 14)) ) ) ) ).
fof(d5_kurato_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k5_kurato_1(A, B)=k5_enumset1(B, k1_tops_1(A, B), k2_pre_topc(A, B), k1_tops_1(A, k2_pre_topc(A, B)), k2_pre_topc(A, k1_tops_1(A, B)), k2_pre_topc(A, k1_tops_1(A, k2_pre_topc(A, B))), k1_tops_1(A, k2_pre_topc(A, k1_tops_1(A, B))))) ) ) ) ).
fof(t8_kurato_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k5_kurato_1(A, B)=k2_xboole_0(k2_xboole_0(k1_tarski(B), k1_enumset1(k1_tops_1(A, B), k1_tops_1(A, k2_pre_topc(A, B)), k1_tops_1(A, k2_pre_topc(A, k1_tops_1(A, B))))), k1_enumset1(k2_pre_topc(A, B), k2_pre_topc(A, k1_tops_1(A, B)), k2_pre_topc(A, k1_tops_1(A, k2_pre_topc(A, B)))))) ) ) ) ).
fof(t9_kurato_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(C, k5_kurato_1(A, B)) =>  (r2_tarski(k1_tops_1(A, C), k5_kurato_1(A, B)) & r2_tarski(k2_pre_topc(A, C), k5_kurato_1(A, B))) ) ) ) ) ) ) ) ).
fof(d6_kurato_1, axiom, k6_kurato_1=k4_subset_1(k1_numbers, k4_subset_1(k1_numbers, k4_subset_1(k1_numbers, k1_seq_4(1), k2_borsuk_5(2, 4)), k2_rcomp_1(4, 5)), k2_rcomp_1(5, k1_xxreal_0))).
fof(t10_kurato_1, axiom, k2_pre_topc(k3_topmetr, k6_kurato_1)=k4_subset_1(k1_numbers, k1_seq_4(1), k3_rcomp_1(2, k1_xxreal_0))).
fof(t11_kurato_1, axiom, k3_subset_1(u1_struct_0(k3_topmetr), k2_pre_topc(k3_topmetr, k6_kurato_1))=k4_subset_1(k1_numbers, k2_rcomp_1(k2_xxreal_0, 1), k2_rcomp_1(1, 2))).
fof(t12_kurato_1, axiom, k2_pre_topc(k3_topmetr, k3_subset_1(u1_struct_0(k3_topmetr), k2_pre_topc(k3_topmetr, k6_kurato_1)))=k4_rcomp_1(k2_xxreal_0, 2)).
fof(t13_kurato_1, axiom, k3_subset_1(u1_struct_0(k3_topmetr), k2_pre_topc(k3_topmetr, k3_subset_1(u1_struct_0(k3_topmetr), k2_pre_topc(k3_topmetr, k6_kurato_1))))=k2_rcomp_1(2, k1_xxreal_0)).
fof(t14_kurato_1, axiom, k2_pre_topc(k3_topmetr, k3_subset_1(u1_struct_0(k3_topmetr), k2_pre_topc(k3_topmetr, k3_subset_1(u1_struct_0(k3_topmetr), k2_pre_topc(k3_topmetr, k6_kurato_1)))))=k3_rcomp_1(2, k1_xxreal_0)).
fof(t15_kurato_1, axiom, k3_subset_1(u1_struct_0(k3_topmetr), k2_pre_topc(k3_topmetr, k3_subset_1(u1_struct_0(k3_topmetr), k2_pre_topc(k3_topmetr, k3_subset_1(u1_struct_0(k3_topmetr), k2_pre_topc(k3_topmetr, k6_kurato_1))))))=k2_rcomp_1(k2_xxreal_0, 2)).
fof(t16_kurato_1, axiom, k3_subset_1(u1_struct_0(k3_topmetr), k6_kurato_1)=k4_subset_1(k1_numbers, k4_subset_1(k1_numbers, k4_subset_1(k1_numbers, k4_subset_1(k1_numbers, k2_rcomp_1(k2_xxreal_0, 1), k4_rcomp_1(1, 2)), k3_borsuk_5(2, 4)), k1_seq_4(4)), k1_seq_4(5))).
fof(t17_kurato_1, axiom, k2_pre_topc(k3_topmetr, k3_subset_1(u1_struct_0(k3_topmetr), k6_kurato_1))=k4_subset_1(k1_numbers, k4_rcomp_1(k2_xxreal_0, 4), k1_seq_4(5))).
fof(t18_kurato_1, axiom, k3_subset_1(u1_struct_0(k3_topmetr), k2_pre_topc(k3_topmetr, k3_subset_1(u1_struct_0(k3_topmetr), k6_kurato_1)))=k4_subset_1(k1_numbers, k2_rcomp_1(4, 5), k2_rcomp_1(5, k1_xxreal_0))).
fof(t19_kurato_1, axiom, k2_pre_topc(k3_topmetr, k3_subset_1(u1_struct_0(k3_topmetr), k2_pre_topc(k3_topmetr, k3_subset_1(u1_struct_0(k3_topmetr), k6_kurato_1))))=k3_rcomp_1(4, k1_xxreal_0)).
fof(t20_kurato_1, axiom, k3_subset_1(u1_struct_0(k3_topmetr), k2_pre_topc(k3_topmetr, k3_subset_1(u1_struct_0(k3_topmetr), k2_pre_topc(k3_topmetr, k3_subset_1(u1_struct_0(k3_topmetr), k6_kurato_1)))))=k2_rcomp_1(k2_xxreal_0, 4)).
fof(t21_kurato_1, axiom, k2_pre_topc(k3_topmetr, k3_subset_1(u1_struct_0(k3_topmetr), k2_pre_topc(k3_topmetr, k3_subset_1(u1_struct_0(k3_topmetr), k2_pre_topc(k3_topmetr, k3_subset_1(u1_struct_0(k3_topmetr), k6_kurato_1))))))=k4_rcomp_1(k2_xxreal_0, 4)).
fof(t22_kurato_1, axiom, k3_subset_1(u1_struct_0(k3_topmetr), k2_pre_topc(k3_topmetr, k3_subset_1(u1_struct_0(k3_topmetr), k2_pre_topc(k3_topmetr, k3_subset_1(u1_struct_0(k3_topmetr), k2_pre_topc(k3_topmetr, k3_subset_1(u1_struct_0(k3_topmetr), k6_kurato_1)))))))=k2_rcomp_1(4, k1_xxreal_0)).
fof(t23_kurato_1, axiom, k1_tops_1(k3_topmetr, k6_kurato_1)=k4_subset_1(k1_numbers, k2_rcomp_1(4, 5), k2_rcomp_1(5, k1_xxreal_0))).
fof(t24_kurato_1, axiom, k2_pre_topc(k3_topmetr, k1_tops_1(k3_topmetr, k6_kurato_1))=k3_rcomp_1(4, k1_xxreal_0)).
fof(t25_kurato_1, axiom, k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k1_tops_1(k3_topmetr, k6_kurato_1)))=k2_rcomp_1(4, k1_xxreal_0)).
fof(t26_kurato_1, axiom, k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k6_kurato_1))=k2_rcomp_1(2, k1_xxreal_0)).
fof(t27_kurato_1, axiom, k2_pre_topc(k3_topmetr, k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k6_kurato_1)))=k3_rcomp_1(2, k1_xxreal_0)).
fof(t28_kurato_1, axiom,  ~ (k2_pre_topc(k3_topmetr, k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k6_kurato_1)))=k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k6_kurato_1))) ).
fof(t29_kurato_1, axiom,  ~ (k2_pre_topc(k3_topmetr, k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k6_kurato_1)))=k2_pre_topc(k3_topmetr, k6_kurato_1)) ).
fof(t30_kurato_1, axiom,  ~ (k2_pre_topc(k3_topmetr, k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k6_kurato_1)))=k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k1_tops_1(k3_topmetr, k6_kurato_1)))) ).
fof(t31_kurato_1, axiom,  ~ (k2_pre_topc(k3_topmetr, k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k6_kurato_1)))=k2_pre_topc(k3_topmetr, k1_tops_1(k3_topmetr, k6_kurato_1))) ).
fof(t32_kurato_1, axiom,  ~ (k2_pre_topc(k3_topmetr, k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k6_kurato_1)))=k1_tops_1(k3_topmetr, k6_kurato_1)) ).
fof(t33_kurato_1, axiom,  ~ (k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k6_kurato_1))=k2_pre_topc(k3_topmetr, k6_kurato_1)) ).
fof(t34_kurato_1, axiom,  ~ (k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k6_kurato_1))=k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k1_tops_1(k3_topmetr, k6_kurato_1)))) ).
fof(t35_kurato_1, axiom,  ~ (k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k6_kurato_1))=k2_pre_topc(k3_topmetr, k1_tops_1(k3_topmetr, k6_kurato_1))) ).
fof(t36_kurato_1, axiom,  ~ (k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k6_kurato_1))=k1_tops_1(k3_topmetr, k6_kurato_1)) ).
fof(t37_kurato_1, axiom,  ~ (k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k1_tops_1(k3_topmetr, k6_kurato_1)))=k2_pre_topc(k3_topmetr, k6_kurato_1)) ).
fof(t38_kurato_1, axiom,  ~ (k2_pre_topc(k3_topmetr, k1_tops_1(k3_topmetr, k6_kurato_1))=k2_pre_topc(k3_topmetr, k6_kurato_1)) ).
fof(t39_kurato_1, axiom,  ~ (k1_tops_1(k3_topmetr, k6_kurato_1)=k2_pre_topc(k3_topmetr, k6_kurato_1)) ).
fof(t40_kurato_1, axiom,  ~ (k2_pre_topc(k3_topmetr, k6_kurato_1)=k6_kurato_1) ).
fof(t41_kurato_1, axiom,  ~ (k6_kurato_1=k1_tops_1(k3_topmetr, k6_kurato_1)) ).
fof(t42_kurato_1, axiom,  ~ (k2_pre_topc(k3_topmetr, k1_tops_1(k3_topmetr, k6_kurato_1))=k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k1_tops_1(k3_topmetr, k6_kurato_1)))) ).
fof(t43_kurato_1, axiom,  ~ (k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k1_tops_1(k3_topmetr, k6_kurato_1)))=k1_tops_1(k3_topmetr, k6_kurato_1)) ).
fof(t44_kurato_1, axiom,  ~ (k2_pre_topc(k3_topmetr, k1_tops_1(k3_topmetr, k6_kurato_1))=k1_tops_1(k3_topmetr, k6_kurato_1)) ).
fof(t45_kurato_1, axiom,  ~ (k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k1_tops_1(k3_topmetr, k6_kurato_1)))=k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k6_kurato_1))) ).
fof(t46_kurato_1, axiom, r1_zfmisc_1(k1_tops_1(k3_topmetr, k6_kurato_1), k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k6_kurato_1)), k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k1_tops_1(k3_topmetr, k6_kurato_1))))).
fof(t47_kurato_1, axiom, r1_zfmisc_1(k2_pre_topc(k3_topmetr, k6_kurato_1), k2_pre_topc(k3_topmetr, k1_tops_1(k3_topmetr, k6_kurato_1)), k2_pre_topc(k3_topmetr, k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k6_kurato_1))))).
fof(t48_kurato_1, axiom,  (! [A] :  (r2_tarski(A, k1_enumset1(k1_tops_1(k3_topmetr, k6_kurato_1), k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k6_kurato_1)), k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k1_tops_1(k3_topmetr, k6_kurato_1))))) =>  ( ~ (v1_xboole_0(A))  &  (v3_pre_topc(A, k3_topmetr) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k3_topmetr)))) ) ) ) ).
fof(t49_kurato_1, axiom,  (! [A] :  ~ ( (r2_tarski(A, k1_enumset1(k1_tops_1(k3_topmetr, k6_kurato_1), k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k6_kurato_1)), k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k1_tops_1(k3_topmetr, k6_kurato_1))))) & A=k1_numbers) ) ) ).
fof(t50_kurato_1, axiom,  (! [A] :  ~ ( (r2_tarski(A, k1_enumset1(k2_pre_topc(k3_topmetr, k6_kurato_1), k2_pre_topc(k3_topmetr, k1_tops_1(k3_topmetr, k6_kurato_1)), k2_pre_topc(k3_topmetr, k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k6_kurato_1))))) & A=k1_numbers) ) ) ).
fof(t51_kurato_1, axiom, r1_subset_1(k1_enumset1(k1_tops_1(k3_topmetr, k6_kurato_1), k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k6_kurato_1)), k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k1_tops_1(k3_topmetr, k6_kurato_1)))), k1_enumset1(k2_pre_topc(k3_topmetr, k6_kurato_1), k2_pre_topc(k3_topmetr, k1_tops_1(k3_topmetr, k6_kurato_1)), k2_pre_topc(k3_topmetr, k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k6_kurato_1)))))).
fof(t52_kurato_1, axiom, r4_zfmisc_1(k1_tops_1(k3_topmetr, k6_kurato_1), k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k6_kurato_1)), k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k1_tops_1(k3_topmetr, k6_kurato_1))), k2_pre_topc(k3_topmetr, k6_kurato_1), k2_pre_topc(k3_topmetr, k1_tops_1(k3_topmetr, k6_kurato_1)), k2_pre_topc(k3_topmetr, k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k6_kurato_1))))).
fof(t53_kurato_1, axiom, r1_subset_1(k4_enumset1(k1_tops_1(k3_topmetr, k6_kurato_1), k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k6_kurato_1)), k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k1_tops_1(k3_topmetr, k6_kurato_1))), k2_pre_topc(k3_topmetr, k6_kurato_1), k2_pre_topc(k3_topmetr, k1_tops_1(k3_topmetr, k6_kurato_1)), k2_pre_topc(k3_topmetr, k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k6_kurato_1)))), k1_tarski(k6_kurato_1))).
fof(t54_kurato_1, axiom, r5_zfmisc_1(k6_kurato_1, k1_tops_1(k3_topmetr, k6_kurato_1), k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k6_kurato_1)), k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k1_tops_1(k3_topmetr, k6_kurato_1))), k2_pre_topc(k3_topmetr, k6_kurato_1), k2_pre_topc(k3_topmetr, k1_tops_1(k3_topmetr, k6_kurato_1)), k2_pre_topc(k3_topmetr, k1_tops_1(k3_topmetr, k2_pre_topc(k3_topmetr, k6_kurato_1))))).
fof(t55_kurato_1, axiom, k4_card_1(k5_kurato_1(k3_topmetr, k6_kurato_1))=7).
fof(t56_kurato_1, axiom,  (! [A] :  (v1_setfam_1(A) =>  (! [B] :  (r1_tarski(B, A) => v1_setfam_1(B)) ) ) ) ).
fof(t57_kurato_1, axiom,  (! [A] :  ( (v1_setfam_1(A) &  (v3_setfam_1(A, u1_struct_0(k3_topmetr)) & m1_subset_1(A, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_topmetr))))) )  =>  (! [B] :  ( (v1_setfam_1(B) &  (v3_setfam_1(B, u1_struct_0(k3_topmetr)) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_topmetr))))) )  =>  ( (v1_tops_2(A, k3_topmetr) & v2_tops_2(B, k3_topmetr))  => r1_xboole_0(A, B)) ) ) ) ) ).
fof(t58_kurato_1, axiom, r1_xboole_0(k3_kurato_1(k3_topmetr, k6_kurato_1), k4_kurato_1(k3_topmetr, k6_kurato_1))).
fof(t59_kurato_1, axiom, k4_card_1(k3_kurato_1(k3_topmetr, k6_kurato_1))=6).
fof(t60_kurato_1, axiom, k4_card_1(k4_kurato_1(k3_topmetr, k6_kurato_1))=6).
fof(t61_kurato_1, axiom, r1_xboole_0(k2_tarski(k6_kurato_1, k3_subset_1(u1_struct_0(k3_topmetr), k6_kurato_1)), k3_kurato_1(k3_topmetr, k6_kurato_1))).
fof(t62_kurato_1, axiom,  ~ (k6_kurato_1=k3_subset_1(u1_struct_0(k3_topmetr), k6_kurato_1)) ).
fof(t63_kurato_1, axiom, r1_xboole_0(k2_tarski(k6_kurato_1, k3_subset_1(u1_struct_0(k3_topmetr), k6_kurato_1)), k4_kurato_1(k3_topmetr, k6_kurato_1))).
fof(t64_kurato_1, axiom, k4_card_1(k2_kurato_1(k3_topmetr, k6_kurato_1))=14).
fof(d7_kurato_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (v1_kurato_1(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(C, B) => r2_tarski(k2_pre_topc(A, C), B)) ) ) ) ) ) ) ) ).
fof(d8_kurato_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (v2_kurato_1(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(C, B) => r2_tarski(k1_tops_1(A, C), B)) ) ) ) ) ) ) ) ).
fof(dt_k2_kurato_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k2_kurato_1(A, B), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k3_kurato_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k3_kurato_1(A, B), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k4_kurato_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k4_kurato_1(A, B), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k5_kurato_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k5_kurato_1(A, B), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k6_kurato_1, axiom, m1_subset_1(k6_kurato_1, k1_zfmisc_1(u1_struct_0(k3_topmetr)))).
fof(fc1_kurato_2, axiom,  (! [A] :  (m1_finseq_1(A, u1_struct_0(k15_euclid(2))) => v4_pre_topc(k3_topreal1(2, A), k15_euclid(2))) ) ).
fof(fc2_kurato_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  => v1_frechet(k3_pcomps_1(A))) ) ).
fof(fc3_kurato_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v5_rltopsp1(k15_euclid(A)) & v1_frechet(k15_euclid(A))) ) ) ).
fof(fc4_kurato_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) ) )  => v4_pre_topc(k1_kurato_2(A, B), A)) ) ).
fof(t1_kurato_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k14_euclid(A))) =>  (! [C] :  (v1_xreal_0(C) =>  (v3_pre_topc(k8_metric_1(k14_euclid(A), B, C), k15_euclid(A)) & m1_subset_1(k8_metric_1(k14_euclid(A), B, C), k1_zfmisc_1(u1_struct_0(k15_euclid(A))))) ) ) ) ) ) ) ).
fof(t2_kurato_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k14_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( (B=D &  (r2_tarski(C, k8_metric_1(k14_euclid(A), B, E)) & r1_xxreal_0(E, k12_euclid(k5_algstr_0(k15_euclid(A), C, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_kurato_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k14_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  (v1_xreal_0(E) =>  (B=D =>  (r1_xxreal_0(E, k12_euclid(k5_algstr_0(k15_euclid(A), C, D))) | r2_tarski(C, k8_metric_1(k14_euclid(A), B, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_kurato_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  ~ ( (r2_tarski(B, k2_pre_topc(k15_euclid(A), C)) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(k15_euclid(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k15_euclid(A)))))) )  =>  ~ ( (r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(A)), D), C) &  (v3_toprns_1(D, A) & k6_toprns_1(A, D)=B) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_kurato_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v1_frechet(A) <=> v1_frechet(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)))) ) ) ).
fof(t6_kurato_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_euclid(A))) =>  (C=D =>  (r2_tarski(C, k2_pre_topc(k15_euclid(A), B)) <=>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  & r1_xboole_0(k8_metric_1(k14_euclid(A), D, E), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_kurato_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_euclid(A))) =>  ~ ( (D=B &  ( ~ (B=C)  &  (! [E] :  (v1_xreal_0(E) => r2_tarski(C, k8_metric_1(k14_euclid(A), D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_kurato_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  ( ~ (v9_rltopsp1(B, k15_euclid(A)))  <=>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k14_euclid(A))) =>  ~ ( (r2_tarski(D, B) &  (r2_tarski(E, B) &  ~ (r1_xxreal_0(k3_metric_1(k14_euclid(A), D, E), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_kurato_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_euclid(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k14_euclid(A))) =>  ~ ( ( ~ (r1_xboole_0(k8_metric_1(k14_euclid(A), D, B), k8_metric_1(k14_euclid(A), E, C)))  & r1_xxreal_0(k2_xcmplx_0(B, C), k3_metric_1(k14_euclid(A), D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_kurato_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k14_euclid(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k14_euclid(A))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k14_euclid(A))) =>  ~ ( ( ~ (r1_xboole_0(k8_metric_1(k14_euclid(A), E, B), k8_metric_1(k14_euclid(A), G, D)))  &  ( ~ (r1_xboole_0(k8_metric_1(k14_euclid(A), G, D), k8_metric_1(k14_euclid(A), F, C)))  & r1_xxreal_0(k2_xcmplx_0(k2_xcmplx_0(B, C), k3_xcmplx_0(2, D)), k3_metric_1(k14_euclid(A), E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_kurato_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A, B)))) =>  (m2_connsp_2(E, k2_borsuk_1(A, B), k3_borsuk_1(A, B, k6_domain_1(u1_struct_0(A), C), k6_domain_1(u1_struct_0(B), D))) <=> m1_connsp_2(E, k2_borsuk_1(A, B), k4_borsuk_1(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_kurato_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (m2_valued_0(C, k9_setfam_1(u1_struct_0(A)), B) &  (! [E] :  (v7_ordinal1(E) => k8_nat_1(k9_setfam_1(u1_struct_0(A)), B, E)=D) ) )  => r2_funct_2(k4_ordinal1, k9_setfam_1(u1_struct_0(A)), C, B)) ) ) ) ) ) ) ) ) ).
fof(t13_kurato_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) )  =>  (! [C] :  (m2_valued_0(C, k9_setfam_1(u1_struct_0(A)), B) =>  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (m1_subset_1(E, k4_ordinal1) &  (r1_xxreal_0(D, E) & k8_nat_1(k9_setfam_1(u1_struct_0(A)), C, D)=k8_nat_1(k9_setfam_1(u1_struct_0(A)), B, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_kurato_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (C=k1_kurato_2(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, C) <=>  (! [E] :  (m1_connsp_2(E, A, D) =>  (? [F] :  (v7_ordinal1(F) &  (! [G] :  (v7_ordinal1(G) =>  ~ ( ( ~ (r1_xxreal_0(G, F))  & r1_xboole_0(k8_nat_1(k9_setfam_1(u1_struct_0(A)), B, G), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_kurato_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(A)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(A))))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_euclid(A))) =>  (C=D =>  (r2_tarski(C, k1_kurato_2(k15_euclid(A), B)) <=>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (v7_ordinal1(F) =>  (? [G] :  (v7_ordinal1(G) &  ( ~ (r1_xxreal_0(G, F))  & r1_xboole_0(k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(A))), B, G), k8_metric_1(k14_euclid(A), D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_kurato_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) )  => k2_pre_topc(A, k1_kurato_2(A, B))=k1_kurato_2(A, B)) ) ) ) ).
fof(t16_kurato_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) )  =>  (m2_valued_0(B, k9_setfam_1(u1_struct_0(A)), C) => r1_tarski(k1_kurato_2(A, C), k1_kurato_2(A, B))) ) ) ) ) ) ) ).
fof(t17_kurato_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) )  =>  ( (! [D] :  (v7_ordinal1(D) => r1_tarski(k8_nat_1(k9_setfam_1(u1_struct_0(A)), B, D), k8_nat_1(k9_setfam_1(u1_struct_0(A)), C, D))) )  => r1_tarski(k1_kurato_2(A, B), k1_kurato_2(A, C))) ) ) ) ) ) ) ).
fof(t18_kurato_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) )  =>  ( (! [E] :  (v7_ordinal1(E) => k8_nat_1(k9_setfam_1(u1_struct_0(A)), D, E)=k4_subset_1(u1_struct_0(A), k8_nat_1(k9_setfam_1(u1_struct_0(A)), B, E), k8_nat_1(k9_setfam_1(u1_struct_0(A)), C, E))) )  => r1_tarski(k4_subset_1(u1_struct_0(A), k1_kurato_2(A, B), k1_kurato_2(A, C)), k1_kurato_2(A, D))) ) ) ) ) ) ) ) ) ).
fof(t19_kurato_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) )  =>  ( (! [E] :  (v7_ordinal1(E) => k8_nat_1(k9_setfam_1(u1_struct_0(A)), D, E)=k9_subset_1(u1_struct_0(A), k8_nat_1(k9_setfam_1(u1_struct_0(A)), B, E), k8_nat_1(k9_setfam_1(u1_struct_0(A)), C, E))) )  => r1_tarski(k1_kurato_2(A, D), k9_subset_1(u1_struct_0(A), k1_kurato_2(A, B), k1_kurato_2(A, C)))) ) ) ) ) ) ) ) ) ).
fof(t20_kurato_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) )  =>  ( (! [D] :  (v7_ordinal1(D) => k8_nat_1(k9_setfam_1(u1_struct_0(A)), C, D)=k2_pre_topc(A, k8_nat_1(k9_setfam_1(u1_struct_0(A)), B, D))) )  => k1_kurato_2(A, C)=k1_kurato_2(A, B)) ) ) ) ) ) ) ).
fof(t21_kurato_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(A)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(A))))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  ( (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(k15_euclid(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k15_euclid(A)))))) )  &  (v3_toprns_1(D, A) &  ( (! [E] :  (v7_ordinal1(E) => r2_tarski(k8_nat_1(u1_struct_0(k15_euclid(A)), D, E), k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(A))), B, E))) )  & C=k6_toprns_1(A, D)) ) ) )  => r2_tarski(C, k1_kurato_2(k15_euclid(A), B))) ) ) ) ) ) ) ).
fof(t22_kurato_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) )  =>  ( (! [D] :  (v7_ordinal1(D) => r1_tarski(k8_nat_1(k9_setfam_1(u1_struct_0(A)), C, D), B)) )  => r1_tarski(k1_kurato_2(A, C), k2_pre_topc(A, B))) ) ) ) ) ) ) ).
fof(t23_kurato_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (! [D] :  (v7_ordinal1(D) => k8_nat_1(k9_setfam_1(u1_struct_0(A)), B, D)=C) )  => k1_kurato_2(A, B)=k2_pre_topc(A, C)) ) ) ) ) ) ) ).
fof(t24_kurato_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) )  =>  (! [C] :  ( (v4_pre_topc(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  ( (! [D] :  (v7_ordinal1(D) => k8_nat_1(k9_setfam_1(u1_struct_0(A)), B, D)=C) )  => k1_kurato_2(A, B)=C) ) ) ) ) ) ) ).
fof(t25_kurato_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(A)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(A))))))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  ( (v9_rltopsp1(C, k15_euclid(A)) &  (! [D] :  (v7_ordinal1(D) => r1_tarski(k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(A))), B, D), C)) ) )  => v9_rltopsp1(k1_kurato_2(k15_euclid(A), B), k15_euclid(A))) ) ) ) ) ) ) ).
fof(t26_kurato_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2))))))) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (v9_rltopsp1(B, k15_euclid(2)) &  (! [C] :  (v7_ordinal1(C) => r1_tarski(k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(2))), A, C), B)) ) )  => v2_compts_1(k1_kurato_2(k15_euclid(2), A), k15_euclid(2))) ) ) ) ) ).
fof(t27_kurato_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(A)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(A))))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(A)))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(A))))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(u1_struct_0(k2_borsuk_1(k15_euclid(A), k15_euclid(A))))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k2_borsuk_1(k15_euclid(A), k15_euclid(A)))))))) )  =>  ( (! [E] :  (v7_ordinal1(E) => k8_nat_1(k9_setfam_1(u1_struct_0(k2_borsuk_1(k15_euclid(A), k15_euclid(A)))), D, E)=k3_borsuk_1(k15_euclid(A), k15_euclid(A), k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(A))), B, E), k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(A))), C, E))) )  => k3_borsuk_1(k15_euclid(A), k15_euclid(A), k1_kurato_2(k15_euclid(A), B), k1_kurato_2(k15_euclid(A), C))=k1_kurato_2(k2_borsuk_1(k15_euclid(A), k15_euclid(A)), D)) ) ) ) ) ) ) ) ) ).
fof(t28_kurato_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2))))))) )  => r1_tarski(k3_kurato_0(u1_struct_0(k15_euclid(2)), A), k1_kurato_2(k15_euclid(2), A))) ) ).
fof(t29_kurato_2, axiom,  (! [A] :  ( (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) => k2_tops_1(k15_euclid(2), k3_subset_1(u1_struct_0(k15_euclid(2)), k2_jordan2c(2, k3_topreal1(2, k1_jordan9(A, B)))))=k3_topreal1(2, k1_jordan9(A, B))) ) ) ) ).
fof(d2_kurato_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (C=k2_kurato_2(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (? [E] :  (m2_valued_0(E, k9_setfam_1(u1_struct_0(A)), B) & r2_hidden(D, k1_kurato_2(A, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_kurato_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k15_euclid(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k15_euclid(A)))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_euclid(A))) =>  (C=D =>  (r1_frechet2(k15_euclid(A), B, C) <=>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v7_ordinal1(F) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [G] :  (v7_ordinal1(G) =>  ~ ( (r1_xxreal_0(F, G) & r2_tarski(k8_nat_1(u1_struct_0(k15_euclid(A)), B, G), k8_metric_1(k14_euclid(A), D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_kurato_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) )  => r1_tarski(k1_kurato_2(A, B), k2_kurato_2(A, B))) ) ) ) ).
fof(t32_kurato_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2))))))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2))))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2))))))) )  =>  ~ ( ( (! [D] :  (v7_ordinal1(D) => r1_tarski(k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(2))), A, D), k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(2))), B, D))) )  &  (m2_valued_0(C, k9_setfam_1(u1_struct_0(k15_euclid(2))), A) &  (! [D] :  (m2_valued_0(D, k9_setfam_1(u1_struct_0(k15_euclid(2))), B) =>  ~ ( (! [E] :  (v7_ordinal1(E) => r1_tarski(k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(2))), C, E), k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(2))), D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_kurato_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2))))))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2))))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2))))))) )  =>  ~ ( ( (! [D] :  (v7_ordinal1(D) => r1_tarski(k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(2))), A, D), k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(2))), B, D))) )  &  (m2_valued_0(C, k9_setfam_1(u1_struct_0(k15_euclid(2))), B) &  (! [D] :  (m2_valued_0(D, k9_setfam_1(u1_struct_0(k15_euclid(2))), A) =>  ~ ( (! [E] :  (v7_ordinal1(E) => r1_tarski(k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(2))), D, E), k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(2))), C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_kurato_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2))))))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2))))))) )  =>  ( (! [C] :  (v7_ordinal1(C) => r1_tarski(k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(2))), A, C), k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(2))), B, C))) )  => r1_tarski(k2_kurato_2(k15_euclid(2), A), k2_kurato_2(k15_euclid(2), B))) ) ) ) ) ).
fof(t35_kurato_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2))))))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2))))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2))))))) )  =>  ( (! [D] :  (v7_ordinal1(D) => k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(2))), C, D)=k4_subset_1(u1_struct_0(k15_euclid(2)), k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(2))), A, D), k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(2))), B, D))) )  => r1_tarski(k4_subset_1(u1_struct_0(k15_euclid(2)), k2_kurato_2(k15_euclid(2), A), k2_kurato_2(k15_euclid(2), B)), k2_kurato_2(k15_euclid(2), C))) ) ) ) ) ) ) ).
fof(t36_kurato_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2))))))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2))))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2))))))) )  =>  ( (! [D] :  (v7_ordinal1(D) => k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(2))), C, D)=k9_subset_1(u1_struct_0(k15_euclid(2)), k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(2))), A, D), k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(2))), B, D))) )  => r1_tarski(k2_kurato_2(k15_euclid(2), C), k9_subset_1(u1_struct_0(k15_euclid(2)), k2_kurato_2(k15_euclid(2), A), k2_kurato_2(k15_euclid(2), B)))) ) ) ) ) ) ) ).
fof(t37_kurato_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2))))))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2))))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2)))))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2)))))))) )  =>  ~ ( ( (! [E] :  (v7_ordinal1(E) => k8_nat_1(k9_setfam_1(u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2)))), C, E)=k3_borsuk_1(k15_euclid(2), k15_euclid(2), k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(2))), A, E), k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(2))), B, E))) )  &  (m2_valued_0(D, k9_setfam_1(u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2)))), C) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2))))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2))))))) )  =>  ~ ( (m2_valued_0(E, k9_setfam_1(u1_struct_0(k15_euclid(2))), A) &  (m2_valued_0(F, k9_setfam_1(u1_struct_0(k15_euclid(2))), B) &  (! [G] :  (v7_ordinal1(G) => k8_nat_1(k9_setfam_1(u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2)))), D, G)=k3_borsuk_1(k15_euclid(2), k15_euclid(2), k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(2))), E, G), k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(2))), F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_kurato_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2))))))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2))))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2))))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2)))))))) )  =>  ( (! [D] :  (v7_ordinal1(D) => k8_nat_1(k9_setfam_1(u1_struct_0(k2_borsuk_1(k15_euclid(2), k15_euclid(2)))), C, D)=k3_borsuk_1(k15_euclid(2), k15_euclid(2), k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(2))), A, D), k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(2))), B, D))) )  => r1_tarski(k2_kurato_2(k2_borsuk_1(k15_euclid(2), k15_euclid(2)), C), k3_borsuk_1(k15_euclid(2), k15_euclid(2), k2_kurato_2(k15_euclid(2), A), k2_kurato_2(k15_euclid(2), B)))) ) ) ) ) ) ) ).
fof(t39_kurato_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (! [D] :  (v7_ordinal1(D) => k8_nat_1(k9_setfam_1(u1_struct_0(A)), B, D)=C) )  => k1_kurato_2(A, B)=k2_kurato_2(A, B)) ) ) ) ) ) ) ).
fof(t40_kurato_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2))))))) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (! [C] :  (v7_ordinal1(C) => k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(2))), A, C)=B) )  => k2_kurato_2(k15_euclid(2), A)=k2_pre_topc(k15_euclid(2), B)) ) ) ) ) ).
fof(t41_kurato_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2))))))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(k15_euclid(2))))))) )  =>  ( (! [C] :  (v7_ordinal1(C) => k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(2))), B, C)=k2_pre_topc(k15_euclid(2), k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(2))), A, C))) )  => k2_kurato_2(k15_euclid(2), B)=k2_kurato_2(k15_euclid(2), A)) ) ) ) ) ).
fof(dt_k1_kurato_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) ) )  => m1_subset_1(k1_kurato_2(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k2_kurato_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) ) )  => m1_subset_1(k2_kurato_2(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(t1_l_hospit, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_fcont_1(A, B) &  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(B, C))  &  ( ~ (r1_xxreal_0(D, B))  &  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(E, C))  &  ( ~ (r1_xxreal_0(B, E))  &  (r2_hidden(E, k1_relset_1(k1_numbers, A)) &  ( ~ (r1_xxreal_0(D, F))  &  ( ~ (r1_xxreal_0(F, B))  & r2_hidden(F, k1_relset_1(k1_numbers, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  => r1_limfunc3(A, B)) ) ) ) ) ).
fof(t2_l_hospit, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( ( (r4_limfunc2(A, B) & k2_limfunc2(A, B)=C)  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, B))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(D, E))  &  ( ~ (r1_xxreal_0(E, B))  & r2_hidden(E, k1_relset_1(k1_numbers, A))) ) ) ) ) ) ) ) )  &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_comseq_2(D) &  (k1_seq_2(D)=B & r1_tarski(k2_relset_1(k1_numbers, D), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k3_limfunc1(B)))) )  =>  (v2_comseq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, D, A)) & k1_seq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, D, A))=C) ) ) ) ) )  &  ( ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, B))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(D, E))  &  ( ~ (r1_xxreal_0(E, B))  & r2_hidden(E, k1_relset_1(k1_numbers, A))) ) ) ) ) ) ) ) )  &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_comseq_2(D) &  (k1_seq_2(D)=B & r1_tarski(k2_relset_1(k1_numbers, D), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k3_limfunc1(B)))) )  =>  (v2_comseq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, D, A)) & k1_seq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, D, A))=C) ) ) ) )  =>  (r4_limfunc2(A, B) & k2_limfunc2(A, B)=C) ) ) ) ) ) ) ) ) ).
fof(t3_l_hospit, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( ( (r1_limfunc2(A, B) & k1_limfunc2(A, B)=C)  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(B, D))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, D))  &  ( ~ (r1_xxreal_0(B, E))  & r2_hidden(E, k1_relset_1(k1_numbers, A))) ) ) ) ) ) ) ) )  &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_comseq_2(D) &  (k1_seq_2(D)=B & r1_tarski(k2_relset_1(k1_numbers, D), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k10_prob_1(B)))) )  =>  (v2_comseq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, D, A)) & k1_seq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, D, A))=C) ) ) ) ) )  &  ( ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(B, D))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, D))  &  ( ~ (r1_xxreal_0(B, E))  & r2_hidden(E, k1_relset_1(k1_numbers, A))) ) ) ) ) ) ) ) )  &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_comseq_2(D) &  (k1_seq_2(D)=B & r1_tarski(k2_relset_1(k1_numbers, D), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k10_prob_1(B)))) )  =>  (v2_comseq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, D, A)) & k1_seq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, D, A))=C) ) ) ) )  =>  (r1_limfunc2(A, B) & k1_limfunc2(A, B)=C) ) ) ) ) ) ) ) ) ).
fof(t4_l_hospit, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  ( (? [C] :  (m1_rcomp_1(C, B) & r1_tarski(k7_subset_1(k1_numbers, C, k1_tarski(B)), k1_relset_1(k1_numbers, A))) )  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(B, C))  &  ( ~ (r1_xxreal_0(D, B))  &  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(E, C))  &  ( ~ (r1_xxreal_0(B, E))  &  (r2_hidden(E, k1_relset_1(k1_numbers, A)) &  ( ~ (r1_xxreal_0(D, F))  &  ( ~ (r1_xxreal_0(F, B))  & r2_hidden(F, k1_relset_1(k1_numbers, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_l_hospit, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  ( (? [D] :  (m1_rcomp_1(D, C) &  (r1_tarski(D, k1_relset_1(k1_numbers, A)) &  (r1_tarski(D, k1_relset_1(k1_numbers, B)) &  (r2_fdiff_1(A, D) &  (r2_fdiff_1(B, D) &  (r1_tarski(k7_subset_1(k1_numbers, D, k1_tarski(C)), k1_relset_1(k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, A, B))) &  (r1_tarski(D, k1_relset_1(k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k2_fdiff_1(A, D), k2_fdiff_1(B, D)))) &  (k1_funct_1(A, C)=k5_numbers &  (k1_funct_1(B, C)=k5_numbers & r2_limfunc3(k3_rfunct_1(k1_numbers, k1_numbers, k2_fdiff_1(A, D), k2_fdiff_1(B, D)), C)) ) ) ) ) ) ) ) ) )  => r2_limfunc3(k3_rfunct_1(k1_numbers, k1_numbers, A, B), C)) ) ) ) ) ) ) ).
fof(t6_l_hospit, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  ( (? [D] :  (m1_rcomp_1(D, C) &  (r1_tarski(D, k1_relset_1(k1_numbers, A)) &  (r1_tarski(D, k1_relset_1(k1_numbers, B)) &  (r2_fdiff_1(A, D) &  (r2_fdiff_1(B, D) &  (r1_tarski(k7_subset_1(k1_numbers, D, k1_tarski(C)), k1_relset_1(k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, A, B))) &  (r1_tarski(D, k1_relset_1(k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k2_fdiff_1(A, D), k2_fdiff_1(B, D)))) &  (k1_funct_1(A, C)=k5_numbers &  (k1_funct_1(B, C)=k5_numbers & r3_limfunc3(k3_rfunct_1(k1_numbers, k1_numbers, k2_fdiff_1(A, D), k2_fdiff_1(B, D)), C)) ) ) ) ) ) ) ) ) )  => r3_limfunc3(k3_rfunct_1(k1_numbers, k1_numbers, A, B), C)) ) ) ) ) ) ) ).
fof(t7_l_hospit, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k1_relset_1(k1_numbers, B))) =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (r1_tarski(k1_rcomp_1(C, k2_xcmplx_0(C, D)), k1_relset_1(k1_numbers, A)) &  (r1_tarski(k1_rcomp_1(C, k2_xcmplx_0(C, D)), k1_relset_1(k1_numbers, B)) &  (r2_fdiff_1(A, k2_rcomp_1(C, k2_xcmplx_0(C, D))) &  (r2_fdiff_1(B, k2_rcomp_1(C, k2_xcmplx_0(C, D))) &  (r1_tarski(k2_rcomp_1(C, k2_xcmplx_0(C, D)), k1_relset_1(k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, A, B))) &  (r1_tarski(k1_rcomp_1(C, k2_xcmplx_0(C, D)), k1_relset_1(k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k2_fdiff_1(A, k2_rcomp_1(C, k2_xcmplx_0(C, D))), k2_fdiff_1(B, k2_rcomp_1(C, k2_xcmplx_0(C, D)))))) &  (k1_funct_1(A, C)=k5_numbers &  (k1_funct_1(B, C)=k5_numbers &  (r1_fcont_1(A, C) &  (r1_fcont_1(B, C) & r4_limfunc2(k3_rfunct_1(k1_numbers, k1_numbers, k2_fdiff_1(A, k2_rcomp_1(C, k2_xcmplx_0(C, D))), k2_fdiff_1(B, k2_rcomp_1(C, k2_xcmplx_0(C, D)))), C)) ) ) ) ) ) ) ) ) ) ) ) ) )  |  (r4_limfunc2(k3_rfunct_1(k1_numbers, k1_numbers, A, B), C) &  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, k5_numbers))  & k2_limfunc2(k3_rfunct_1(k1_numbers, k1_numbers, A, B), C)=k2_limfunc2(k3_rfunct_1(k1_numbers, k1_numbers, k2_fdiff_1(A, k2_rcomp_1(C, k2_xcmplx_0(C, D))), k2_fdiff_1(B, k2_rcomp_1(C, k2_xcmplx_0(C, D)))), C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_l_hospit, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k1_relset_1(k1_numbers, B))) =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (r1_tarski(k1_rcomp_1(k6_xcmplx_0(C, D), C), k1_relset_1(k1_numbers, A)) &  (r1_tarski(k1_rcomp_1(k6_xcmplx_0(C, D), C), k1_relset_1(k1_numbers, B)) &  (r2_fdiff_1(A, k2_rcomp_1(k6_xcmplx_0(C, D), C)) &  (r2_fdiff_1(B, k2_rcomp_1(k6_xcmplx_0(C, D), C)) &  (r1_tarski(k2_rcomp_1(k6_xcmplx_0(C, D), C), k1_relset_1(k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, A, B))) &  (r1_tarski(k1_rcomp_1(k6_xcmplx_0(C, D), C), k1_relset_1(k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k2_fdiff_1(A, k2_rcomp_1(k6_xcmplx_0(C, D), C)), k2_fdiff_1(B, k2_rcomp_1(k6_xcmplx_0(C, D), C))))) &  (k1_funct_1(A, C)=k5_numbers &  (k1_funct_1(B, C)=k5_numbers &  (r1_fcont_1(A, C) &  (r1_fcont_1(B, C) & r1_limfunc2(k3_rfunct_1(k1_numbers, k1_numbers, k2_fdiff_1(A, k2_rcomp_1(k6_xcmplx_0(C, D), C)), k2_fdiff_1(B, k2_rcomp_1(k6_xcmplx_0(C, D), C))), C)) ) ) ) ) ) ) ) ) ) ) ) ) )  |  (r1_limfunc2(k3_rfunct_1(k1_numbers, k1_numbers, A, B), C) &  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, k5_numbers))  & k1_limfunc2(k3_rfunct_1(k1_numbers, k1_numbers, A, B), C)=k1_limfunc2(k3_rfunct_1(k1_numbers, k1_numbers, k2_fdiff_1(A, k2_rcomp_1(k6_xcmplx_0(C, D), C)), k2_fdiff_1(B, k2_rcomp_1(k6_xcmplx_0(C, D), C))), C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_l_hospit, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  ( (? [D] :  (m1_rcomp_1(D, C) &  (r1_tarski(D, k1_relset_1(k1_numbers, A)) &  (r1_tarski(D, k1_relset_1(k1_numbers, B)) &  (r2_fdiff_1(A, D) &  (r2_fdiff_1(B, D) &  (r1_tarski(k7_subset_1(k1_numbers, D, k1_tarski(C)), k1_relset_1(k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, A, B))) &  (r1_tarski(D, k1_relset_1(k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k2_fdiff_1(A, D), k2_fdiff_1(B, D)))) &  (k1_funct_1(A, C)=k5_numbers &  (k1_funct_1(B, C)=k5_numbers & r1_limfunc3(k3_rfunct_1(k1_numbers, k1_numbers, k2_fdiff_1(A, D), k2_fdiff_1(B, D)), C)) ) ) ) ) ) ) ) ) )  =>  (r1_limfunc3(k3_rfunct_1(k1_numbers, k1_numbers, A, B), C) &  (? [D] :  (m1_rcomp_1(D, C) & k1_limfunc3(k3_rfunct_1(k1_numbers, k1_numbers, A, B), C)=k1_limfunc3(k3_rfunct_1(k1_numbers, k1_numbers, k2_fdiff_1(A, D), k2_fdiff_1(B, D)), C)) ) ) ) ) ) ) ) ) ) ).
fof(t10_l_hospit, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  ( (? [D] :  (m1_rcomp_1(D, C) &  (r1_tarski(D, k1_relset_1(k1_numbers, A)) &  (r1_tarski(D, k1_relset_1(k1_numbers, B)) &  (r2_fdiff_1(A, D) &  (r2_fdiff_1(B, D) &  (r1_tarski(k7_subset_1(k1_numbers, D, k1_tarski(C)), k1_relset_1(k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, A, B))) &  (r1_tarski(D, k1_relset_1(k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k2_fdiff_1(A, D), k2_fdiff_1(B, D)))) &  (k1_funct_1(A, C)=k5_numbers &  (k1_funct_1(B, C)=k5_numbers & r1_fcont_1(k3_rfunct_1(k1_numbers, k1_numbers, k2_fdiff_1(A, D), k2_fdiff_1(B, D)), C)) ) ) ) ) ) ) ) ) )  =>  (r1_limfunc3(k3_rfunct_1(k1_numbers, k1_numbers, A, B), C) & k1_limfunc3(k3_rfunct_1(k1_numbers, k1_numbers, A, B), C)=k7_xcmplx_0(k1_fdiff_1(A, C), k1_fdiff_1(B, C))) ) ) ) ) ) ) ) ).
fof(rc1_lagra4sq, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_finset_1(A) &  (v1_card_1(A) &  (v1_xcmplx_0(A) & v1_lagra4sq(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_lagra4sq, axiom,  (! [A] :  (v1_int_1(A) =>  (v7_ordinal1(k9_complex1(A)) & v1_xreal_0(k9_complex1(A))) ) ) ).
fof(fc2_lagra4sq, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) & v1_lagra4sq(A))  &  (v7_ordinal1(B) & v1_lagra4sq(B)) )  => v1_lagra4sq(k3_xcmplx_0(A, B))) ) ).
fof(rc2_lagra4sq, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  (v2_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_finset_1(A) &  (v1_card_1(A) &  ( ~ (v1_abian(A))  &  (v1_xcmplx_0(A) & v1_int_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc3_lagra4sq, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  &  (v7_ordinal1(B) & v1_int_2(B)) )  => v1_lagra4sq(k3_xcmplx_0(A, B))) ) ).
fof(fc4_lagra4sq, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  & v7_ordinal1(B))  => v1_lagra4sq(k1_newton(A, B))) ) ).
fof(cc1_lagra4sq, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) & v1_lagra4sq(A)) ) ) ).
fof(d1_lagra4sq, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_lagra4sq(A) <=>  (? [B] :  (v7_ordinal1(B) &  (? [C] :  (v7_ordinal1(C) &  (? [D] :  (v7_ordinal1(D) &  (? [E] :  (v7_ordinal1(E) & A=k1_nat_1(k1_nat_1(k1_nat_1(k1_pepin(B), k1_pepin(C)), k1_pepin(D)), k1_pepin(E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_lagra4sq, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (v7_ordinal1(H) => k2_nat_1(k1_nat_1(k1_nat_1(k1_nat_1(k1_pepin(A), k1_pepin(B)), k1_pepin(C)), k1_pepin(D)), k1_nat_1(k1_nat_1(k1_nat_1(k1_pepin(E), k1_pepin(F)), k1_pepin(G)), k1_pepin(H)))=k1_nat_1(k1_nat_1(k1_nat_1(k1_pepin(k6_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(A, E), k3_xcmplx_0(B, F)), k3_xcmplx_0(C, G)), k3_xcmplx_0(D, H))), k1_pepin(k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A, F), k3_xcmplx_0(B, E)), k3_xcmplx_0(C, H)), k3_xcmplx_0(D, G)))), k1_pepin(k2_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(A, G), k3_xcmplx_0(B, H)), k3_xcmplx_0(C, E)), k3_xcmplx_0(D, F)))), k1_pepin(k2_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A, H), k3_xcmplx_0(B, G)), k3_xcmplx_0(C, F)), k3_xcmplx_0(D, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_lagra4sq, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ( ~ (v1_abian(A))  & v1_int_2(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_numbers, k6_ordinal1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_numbers, k6_ordinal1(A))))) )  =>  (B=k1_lagra4sq(A) <=>  (! [C] :  (m1_subset_1(C, k4_numbers) => k3_funct_2(k4_numbers, k6_ordinal1(A), B, C)=k5_int_1(C, A)) ) ) ) ) ) ) ).
fof(d3_lagra4sq, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k4_numbers) =>  (B=k2_lagra4sq(A) <=>  (k3_finseq_1(B)=A &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => k1_funct_1(B, C)=k1_pepin(k6_xcmplx_0(C, 1))) ) ) ) ) ) ) ) ) ).
fof(d4_lagra4sq, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k4_numbers) =>  (B=k3_lagra4sq(A) <=>  (k3_finseq_1(B)=A &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => k1_funct_1(B, C)=k6_xcmplx_0(k4_xcmplx_0(1), k1_pepin(k6_xcmplx_0(C, 1)))) ) ) ) ) ) ) ) ) ).
fof(t2_lagra4sq, axiom,  (! [A] :  (v7_ordinal1(A) => v2_funct_1(k2_lagra4sq(A))) ) ).
fof(t3_lagra4sq, axiom,  (! [A] :  (v7_ordinal1(A) => v2_funct_1(k3_lagra4sq(A))) ) ).
fof(t4_lagra4sq, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ( ~ (v1_abian(A))  & v1_int_2(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  ~ ( (k3_xcmplx_0(2, B)=k1_nat_1(A, 1) &  (r2_hidden(C, k2_relset_1(k4_numbers, k2_lagra4sq(B))) &  (r2_hidden(D, k2_relset_1(k4_numbers, k2_lagra4sq(B))) &  ( ~ (C=D)  & k5_int_1(C, A)=k5_int_1(D, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_lagra4sq, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ( ~ (v1_abian(A))  & v1_int_2(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  ~ ( (k3_xcmplx_0(2, B)=k1_nat_1(A, 1) &  (r2_hidden(C, k2_relset_1(k4_numbers, k3_lagra4sq(B))) &  (r2_hidden(D, k2_relset_1(k4_numbers, k3_lagra4sq(B))) &  ( ~ (C=D)  & k5_int_1(C, A)=k5_int_1(D, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_lagra4sq, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ( ~ (v1_abian(A))  & v1_int_2(A)) )  =>  (? [B] :  (v7_ordinal1(B) &  (? [C] :  (v7_ordinal1(C) &  (? [D] :  (v7_ordinal1(D) &  (? [E] :  (v7_ordinal1(E) &  (? [F] :  (v7_ordinal1(F) &  ( ~ (r1_xxreal_0(F, k5_numbers))  &  ( ~ (r1_xxreal_0(A, F))  & k3_xcmplx_0(F, A)=k1_nat_1(k1_nat_1(k1_nat_1(k1_pepin(B), k1_pepin(C)), k1_pepin(D)), k1_pepin(E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_lagra4sq, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(B, 1))  &  (! [C] :  (v1_int_1(C) =>  ~ ( (k4_nat_d(A, B)=k5_int_1(C, B) &  ( ~ (r1_xxreal_0(k3_xcmplx_0(2, C), k4_xcmplx_0(B)))  &  (r1_xxreal_0(k3_xcmplx_0(2, C), B) & k4_nat_d(k1_pepin(A), B)=k4_nat_d(k1_pepin(C), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_lagra4sq, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(A, C) &  (r1_xxreal_0(B, C) &  (r1_xxreal_0(k3_xcmplx_0(2, C), k2_xcmplx_0(A, B)) &  ~ ( (A=C & B=C) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_lagra4sq, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(A, E) &  (r1_xxreal_0(B, E) &  (r1_xxreal_0(C, E) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(k3_xcmplx_0(4, E), k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(A, B), C), D)) &  ~ ( (A=E &  (B=E &  (C=E & D=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_lagra4sq, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_int_1(C) =>  ( (k4_nat_d(A, B)=k5_int_1(C, B) & k1_pepin(k3_xcmplx_0(2, C))=k1_pepin(B))  =>  (r1_xxreal_0(B, 1) |  (r1_xxreal_0(k3_xcmplx_0(2, C), k4_xcmplx_0(B)) |  (k3_xcmplx_0(2, C)=B &  (? [D] :  (v7_ordinal1(D) & k3_xcmplx_0(2, A)=k3_xcmplx_0(k1_nat_1(k3_xcmplx_0(2, D), 1), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_lagra4sq, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_int_1(C) =>  ~ ( ( ~ (r1_xxreal_0(B, 1))  &  (k4_nat_d(A, B)=k5_int_1(C, B) &  (C=k5_numbers &  (! [D] :  (v1_int_1(D) =>  ~ (A=k3_xcmplx_0(B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_lagra4sq, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ( ~ (v1_abian(A))  & v1_int_2(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ~ ( ( ~ (r1_xxreal_0(F, 1))  &  ( ~ (r1_xxreal_0(A, F))  &  (k3_xcmplx_0(F, A)=k1_nat_1(k1_nat_1(k1_nat_1(k1_pepin(B), k1_pepin(C)), k1_pepin(D)), k1_pepin(E)) &  (! [G] :  (v1_int_1(G) =>  (! [H] :  (v1_int_1(H) =>  (! [I] :  (v1_int_1(I) =>  (! [J] :  (v1_int_1(J) =>  (! [K] :  (v7_ordinal1(K) =>  ~ ( ( ~ (r1_xxreal_0(K, k5_numbers))  &  ( ~ (r1_xxreal_0(F, K))  & k3_xcmplx_0(K, A)=k1_nat_1(k1_nat_1(k1_nat_1(k1_pepin(G), k1_pepin(H)), k1_pepin(I)), k1_pepin(J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_lagra4sq, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (v1_abian(A) => A=2) ) ) ).
fof(t14_lagra4sq, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (? [B] :  (v7_ordinal1(B) &  (? [C] :  (v7_ordinal1(C) &  (? [D] :  (v7_ordinal1(D) &  (? [E] :  (v7_ordinal1(E) & A=k1_nat_1(k1_nat_1(k1_nat_1(k1_pepin(B), k1_pepin(C)), k1_pepin(D)), k1_pepin(E))) ) ) ) ) ) ) ) ) ) ).
fof(t15_lagra4sq, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (? [C] :  (v7_ordinal1(C) &  (? [D] :  (v7_ordinal1(D) &  (? [E] :  (v7_ordinal1(E) &  (? [F] :  (v7_ordinal1(F) & k3_xcmplx_0(A, B)=k1_nat_1(k1_nat_1(k1_nat_1(k1_pepin(C), k1_pepin(D)), k1_pepin(E)), k1_pepin(F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_lagra4sq, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (? [C] :  (v7_ordinal1(C) &  (? [D] :  (v7_ordinal1(D) &  (? [E] :  (v7_ordinal1(E) &  (? [F] :  (v7_ordinal1(F) & k1_newton(A, B)=k1_nat_1(k1_nat_1(k1_nat_1(k1_pepin(C), k1_pepin(D)), k1_pepin(E)), k1_pepin(F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_lagra4sq, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (? [B] :  (v7_ordinal1(B) &  (? [C] :  (v7_ordinal1(C) &  (? [D] :  (v7_ordinal1(D) &  (? [E] :  (v7_ordinal1(E) & k8_nat_3(k8_newton, k13_nat_3(A))=k1_nat_1(k1_nat_1(k1_nat_1(k1_pepin(B), k1_pepin(C)), k1_pepin(D)), k1_pepin(E))) ) ) ) ) ) ) ) ) ) ).
fof(t18_lagra4sq, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (v7_ordinal1(B) &  (? [C] :  (v7_ordinal1(C) &  (? [D] :  (v7_ordinal1(D) &  (? [E] :  (v7_ordinal1(E) & A=k1_nat_1(k1_nat_1(k1_nat_1(k1_pepin(B), k1_pepin(C)), k1_pepin(D)), k1_pepin(E))) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_lagra4sq, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ( ~ (v1_abian(A))  & v1_int_2(A)) )  =>  (v1_funct_1(k1_lagra4sq(A)) &  (v1_funct_2(k1_lagra4sq(A), k4_numbers, k6_ordinal1(A)) & m1_subset_1(k1_lagra4sq(A), k1_zfmisc_1(k2_zfmisc_1(k4_numbers, k6_ordinal1(A))))) ) ) ) ).
fof(dt_k2_lagra4sq, axiom,  (! [A] :  (v7_ordinal1(A) => m2_finseq_1(k2_lagra4sq(A), k4_numbers)) ) ).
fof(dt_k3_lagra4sq, axiom,  (! [A] :  (v7_ordinal1(A) => m2_finseq_1(k3_lagra4sq(A), k4_numbers)) ) ).
fof(rc1_lang1, axiom,  (? [A] :  (l1_lang1(A) & v1_lang1(A)) ) ).
fof(rc2_lang1, axiom,  (? [A] :  (l1_lang1(A) &  ( ~ (v2_struct_0(A))  & v1_lang1(A)) ) ) ).
fof(rc3_lang1, axiom,  (? [A] :  (l2_lang1(A) & v2_lang1(A)) ) ).
fof(rc4_lang1, axiom,  (? [A] :  (l2_lang1(A) &  ~ (v2_struct_0(A)) ) ) ).
fof(fc1_lang1, axiom,  (! [A] :  ( ~ (v2_struct_0(k6_lang1(A)))  & v2_lang1(k6_lang1(A))) ) ).
fof(fc2_lang1, axiom,  (! [A, B] :  ( ~ (v2_struct_0(k7_lang1(A, B)))  & v2_lang1(k7_lang1(A, B))) ) ).
fof(fc3_lang1, axiom,  (! [A, B] :  ( ~ (v2_struct_0(k8_lang1(A, B)))  & v2_lang1(k8_lang1(A, B))) ) ).
fof(fc4_lang1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k9_lang1(A)))  & v2_lang1(k9_lang1(A))) ) ) ).
fof(rc5_lang1, axiom,  (? [A] :  (l2_lang1(A) &  ( ~ (v2_struct_0(A))  &  (v3_lang1(A) & v4_lang1(A)) ) ) ) ).
fof(d1_lang1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lang1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r1_lang1(A, B, C) <=> r2_hidden(k4_tarski(B, C), u1_lang1(A))) ) ) ) ) ) ) ).
fof(t1_lang1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lang1(A))  => k2_xboole_0(k1_lang1(A), k2_lang1(A))=u1_struct_0(A)) ) ).
fof(d4_lang1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lang1(A))  =>  (! [B] :  (m2_finseq_2(B, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  (r2_lang1(A, B, C) <=>  (? [D] :  (m2_finseq_2(D, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) &  (? [E] :  (m2_finseq_2(E, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) &  (? [F] :  (m2_finseq_2(F, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) &  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  (r2_relset_1(k4_ordinal1, u1_struct_0(A), B, k1_pre_poly(u1_struct_0(A), k1_pre_poly(u1_struct_0(A), D, k3_pre_poly(u1_struct_0(A), G)), E)) &  (r2_relset_1(k4_ordinal1, u1_struct_0(A), C, k1_pre_poly(u1_struct_0(A), k1_pre_poly(u1_struct_0(A), D, F), E)) & r1_lang1(A, G, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_lang1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lang1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  (! [E] :  (m2_finseq_2(E, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  (r1_lang1(A, B, C) => r2_lang1(A, k1_pre_poly(u1_struct_0(A), k1_pre_poly(u1_struct_0(A), D, k3_pre_poly(u1_struct_0(A), B)), E), k1_pre_poly(u1_struct_0(A), k1_pre_poly(u1_struct_0(A), D, C), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_lang1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lang1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  (r1_lang1(A, B, C) => r2_lang1(A, k3_pre_poly(u1_struct_0(A), B), C)) ) ) ) ) ) ) ).
fof(t4_lang1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lang1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  (r2_lang1(A, k3_pre_poly(u1_struct_0(A), B), C) => r1_lang1(A, B, C)) ) ) ) ) ) ) ).
fof(t5_lang1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lang1(A))  =>  (! [B] :  (m2_finseq_2(B, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  (r2_lang1(A, C, D) =>  (r2_lang1(A, k1_pre_poly(u1_struct_0(A), B, C), k1_pre_poly(u1_struct_0(A), B, D)) & r2_lang1(A, k1_pre_poly(u1_struct_0(A), C, B), k1_pre_poly(u1_struct_0(A), D, B))) ) ) ) ) ) ) ) ) ) ).
fof(d5_lang1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lang1(A))  =>  (! [B] :  (m2_finseq_2(B, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  (r3_lang1(A, B, C) <=>  (? [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  &  (r1_xxreal_0(1, k3_finseq_1(D)) &  (k1_funct_1(D, 1)=B &  (k1_funct_1(D, k3_finseq_1(D))=C &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ~ ( (r1_xxreal_0(1, E) &  ( ~ (r1_xxreal_0(k3_finseq_1(D), E))  &  (! [F] :  (m2_finseq_2(F, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  (! [G] :  (m2_finseq_2(G, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  ~ ( (k1_funct_1(D, E)=F &  (k1_funct_1(D, k1_nat_1(E, 1))=G & r2_lang1(A, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_lang1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lang1(A))  =>  (! [B] :  (m2_finseq_2(B, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) => r3_lang1(A, B, B)) ) ) ) ).
fof(t7_lang1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lang1(A))  =>  (! [B] :  (m2_finseq_2(B, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  (r2_lang1(A, B, C) => r3_lang1(A, B, C)) ) ) ) ) ) ) ).
fof(t8_lang1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lang1(A))  =>  (! [B] :  (m2_finseq_2(B, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  ( (r3_lang1(A, C, B) & r3_lang1(A, D, C))  => r3_lang1(A, D, B)) ) ) ) ) ) ) ) ) ).
fof(t9_lang1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_lang1(A))  =>  (! [B] :  (m2_finseq_2(B, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  (r2_tarski(B, k3_lang1(A)) <=>  (r1_tarski(k2_relset_1(u1_struct_0(A), B), k1_lang1(A)) & r3_lang1(A, k3_pre_poly(u1_struct_0(A), u2_lang1(A)), B)) ) ) ) ) ) ).
fof(d7_lang1, axiom,  (! [A] :  (! [B] :  ( (v2_lang1(B) & l2_lang1(B))  =>  (B=k6_lang1(A) <=>  (u1_struct_0(B)=k1_tarski(A) & u1_lang1(B)=k1_tarski(k4_tarski(A, k1_xboole_0))) ) ) ) ) ).
fof(d8_lang1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v2_lang1(C) & l2_lang1(C))  =>  (C=k7_lang1(A, B) <=>  (u1_struct_0(C)=k2_tarski(A, B) &  (u2_lang1(C)=A & u1_lang1(C)=k1_tarski(k4_tarski(A, k9_finseq_1(B)))) ) ) ) ) ) ) ).
fof(d9_lang1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v2_lang1(C) & l2_lang1(C))  =>  (C=k8_lang1(A, B) <=>  (u1_struct_0(C)=k2_tarski(A, B) &  (u2_lang1(C)=A & u1_lang1(C)=k2_tarski(k4_tarski(A, k10_finseq_1(B, A)), k4_tarski(A, k1_xboole_0))) ) ) ) ) ) ) ).
fof(t10_lang1, axiom,  (! [A] : k1_lang1(k6_lang1(A))=k1_xboole_0) ).
fof(t11_lang1, axiom,  (! [A] : k3_lang1(k6_lang1(A))=k1_tarski(k1_xboole_0)) ).
fof(t12_lang1, axiom,  (! [A] :  (! [B] :  ( ~ (A=B)  => k1_lang1(k7_lang1(A, B))=k1_tarski(B)) ) ) ).
fof(t13_lang1, axiom,  (! [A] :  (! [B] :  ( ~ (A=B)  => k3_lang1(k7_lang1(A, B))=k1_tarski(k9_finseq_1(B))) ) ) ).
fof(t14_lang1, axiom,  (! [A] :  (! [B] :  ( ~ (A=B)  => k1_lang1(k8_lang1(A, B))=k1_tarski(B)) ) ) ).
fof(t15_lang1, axiom,  (! [A] :  (! [B] :  ( ~ (A=B)  => k3_lang1(k8_lang1(A, B))=k3_finseq_2(k1_tarski(B))) ) ) ).
fof(t16_lang1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k1_lang1(k9_lang1(A))=A) ) ).
fof(t17_lang1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k3_lang1(k9_lang1(A))=k3_finseq_2(A)) ) ).
fof(d11_lang1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_lang1(A))  =>  (v3_lang1(A) <=>  ( ~ (v1_xboole_0(k3_lang1(A)))  &  (r2_tarski(u2_lang1(A), k2_lang1(A)) &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ ( (r2_tarski(B, k1_lang1(A)) &  (! [C] :  (m2_finseq_2(C, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  ~ ( (r2_tarski(C, k3_lang1(A)) & r2_tarski(B, k2_relset_1(u1_struct_0(A), C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_lang1, axiom,  (! [A] :  (l2_lang1(A) =>  (v4_lang1(A) <=> v1_finset_1(u1_lang1(A))) ) ) ).
fof(d13_lang1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k3_finseq_2(A), k3_finseq_2(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), k3_finseq_2(B))))) )  =>  (D=k12_lang1(A, B, C) <=>  (! [E] :  (m2_finseq_2(E, A, k3_finseq_2(A)) => k3_funct_2(k3_finseq_2(A), k3_finseq_2(B), D, E)=k11_lang1(A, B, E, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_lang1, axiom,  (! [A] :  (v1_relat_1(A) => r1_tarski(A, k18_finseq_1(A))) ) ).
fof(d14_lang1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_lang1(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), B)))) )  => k14_lang1(A, B, C)=g2_lang1(B, k3_funct_2(u1_struct_0(A), B, C, u2_lang1(A)), k4_relset_1(B, k3_finseq_2(u1_struct_0(A)), k3_finseq_2(u1_struct_0(A)), k3_finseq_2(B), k4_relset_1(B, u1_struct_0(A), u1_struct_0(A), k3_finseq_2(u1_struct_0(A)), k3_relset_1(u1_struct_0(A), B, C), u1_lang1(A)), k12_lang1(u1_struct_0(A), B, C)))) ) ) ) ) ) ).
fof(abstractness_v1_lang1, axiom,  (! [A] :  (l1_lang1(A) =>  (v1_lang1(A) => A=g1_lang1(u1_struct_0(A), u1_lang1(A))) ) ) ).
fof(dt_l1_lang1, axiom,  (! [A] :  (l1_lang1(A) => l1_struct_0(A)) ) ).
fof(existence_l1_lang1, axiom,  (? [A] : l1_lang1(A)) ).
fof(dt_g1_lang1, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k3_finseq_2(A)))) =>  (v1_lang1(g1_lang1(A, B)) & l1_lang1(g1_lang1(A, B))) ) ) ).
fof(free_g1_lang1, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k3_finseq_2(A)))) =>  (! [C, D] :  (g1_lang1(A, B)=g1_lang1(C, D) =>  (A=C & B=D) ) ) ) ) ).
fof(dt_u1_lang1, axiom,  (! [A] :  (l1_lang1(A) => m1_subset_1(u1_lang1(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k3_finseq_2(u1_struct_0(A)))))) ) ).
fof(abstractness_v2_lang1, axiom,  (! [A] :  (l2_lang1(A) =>  (v2_lang1(A) => A=g2_lang1(u1_struct_0(A), u2_lang1(A), u1_lang1(A))) ) ) ).
fof(dt_l2_lang1, axiom,  (! [A] :  (l2_lang1(A) => l1_lang1(A)) ) ).
fof(existence_l2_lang1, axiom,  (? [A] : l2_lang1(A)) ).
fof(dt_g2_lang1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k3_finseq_2(A)))))  =>  (v2_lang1(g2_lang1(A, B, C)) & l2_lang1(g2_lang1(A, B, C))) ) ) ).
fof(free_g2_lang1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k3_finseq_2(A)))))  =>  (! [D, E, F] :  (g2_lang1(A, B, C)=g2_lang1(D, E, F) =>  (A=D &  (B=E & C=F) ) ) ) ) ) ).
fof(dt_u2_lang1, axiom,  (! [A] :  (l2_lang1(A) => m1_subset_1(u2_lang1(A), u1_struct_0(A))) ) ).
fof(dt_k4_lang1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(C, k2_zfmisc_1(A, B))) )  => m1_subset_1(k4_lang1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ).
fof(redefinition_k4_lang1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(C, k2_zfmisc_1(A, B))) )  => k4_lang1(A, B, C)=k1_tarski(C)) ) ).
fof(dt_k5_lang1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k2_zfmisc_1(A, B)) & m1_subset_1(D, k2_zfmisc_1(A, B))) ) )  => m1_subset_1(k5_lang1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ).
fof(commutativity_k5_lang1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k2_zfmisc_1(A, B)) & m1_subset_1(D, k2_zfmisc_1(A, B))) ) )  => k5_lang1(A, B, C, D)=k5_lang1(A, B, D, C)) ) ).
fof(redefinition_k5_lang1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k2_zfmisc_1(A, B)) & m1_subset_1(D, k2_zfmisc_1(A, B))) ) )  => k5_lang1(A, B, C, D)=k2_tarski(C, D)) ) ).
fof(dt_k6_lang1, axiom,  (! [A] :  (v2_lang1(k6_lang1(A)) & l2_lang1(k6_lang1(A))) ) ).
fof(dt_k7_lang1, axiom,  (! [A, B] :  (v2_lang1(k7_lang1(A, B)) & l2_lang1(k7_lang1(A, B))) ) ).
fof(dt_k8_lang1, axiom,  (! [A, B] :  (v2_lang1(k8_lang1(A, B)) & l2_lang1(k8_lang1(A, B))) ) ).
fof(dt_k9_lang1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v2_lang1(k9_lang1(A)) & l2_lang1(k9_lang1(A))) ) ) ).
fof(dt_k10_lang1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_lang1(A) & l2_lang1(A)) )  =>  ( ~ (v1_xboole_0(k10_lang1(A)))  & m1_subset_1(k10_lang1(A), k1_zfmisc_1(u1_struct_0(A)))) ) ) ).
fof(redefinition_k10_lang1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_lang1(A) & l2_lang1(A)) )  => k10_lang1(A)=k2_lang1(A)) ) ).
fof(dt_k11_lang1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_finseq_1(C, A) &  (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) )  => m2_finseq_2(k11_lang1(A, B, C, D), B, k3_finseq_2(B))) ) ).
fof(redefinition_k11_lang1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_finseq_1(C, A) &  (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) )  => k11_lang1(A, B, C, D)=k3_relat_1(C, D)) ) ).
fof(dt_k12_lang1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) )  =>  (v1_funct_1(k12_lang1(A, B, C)) &  (v1_funct_2(k12_lang1(A, B, C), k3_finseq_2(A), k3_finseq_2(B)) & m1_subset_1(k12_lang1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), k3_finseq_2(B))))) ) ) ) ).
fof(dt_k13_lang1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => m1_subset_1(k13_lang1(A, B), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ).
fof(redefinition_k13_lang1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => k13_lang1(A, B)=k18_finseq_1(B)) ) ).
fof(dt_k14_lang1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_lang1(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), B)))) ) ) )  =>  (v2_lang1(k14_lang1(A, B, C)) & l2_lang1(k14_lang1(A, B, C))) ) ) ).
fof(d2_lang1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lang1(A))  => k1_lang1(A)=a_1_0_lang1(A)) ) ).
fof(d3_lang1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lang1(A))  => k2_lang1(A)=a_1_1_lang1(A)) ) ).
fof(d6_lang1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_lang1(A))  => k3_lang1(A)=a_1_2_lang1(A)) ) ).
fof(d10_lang1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v2_lang1(B) & l2_lang1(B))  =>  (B=k9_lang1(A) <=>  (u1_struct_0(B)=k1_ordinal1(A) &  (u2_lang1(B)=A & u1_lang1(B)=k2_xboole_0(a_1_3_lang1(A), k1_tarski(k4_tarski(A, k1_xboole_0)))) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_lang1, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  & l1_lang1(B))  =>  (r2_hidden(A, a_1_0_lang1(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(B)) &  (A=C &  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  ~ (r1_lang1(B, C, D)) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_1_lang1, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  & l1_lang1(B))  =>  (r2_hidden(A, a_1_1_lang1(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(B)) &  (A=C &  (? [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  & r1_lang1(B, C, D)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_2_lang1, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  & l2_lang1(B))  =>  (r2_hidden(A, a_1_2_lang1(B)) <=>  (? [C] :  (m2_finseq_2(C, u1_struct_0(B), k3_finseq_2(u1_struct_0(B))) &  (A=C &  (r1_tarski(k2_relset_1(u1_struct_0(B), C), k1_lang1(B)) & r3_lang1(B, k3_pre_poly(u1_struct_0(B), u2_lang1(B)), C)) ) ) ) ) ) ) ).
fof(fraenkel_a_1_3_lang1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (r2_hidden(A, a_1_3_lang1(B)) <=>  (? [C] :  (m1_subset_1(C, B) &  (A=k4_tarski(B, k10_finseq_1(C, B)) & C=C) ) ) ) ) ) ).
fof(t1_laplace, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k4_finseq_1(A)) => k3_finseq_1(k2_finseq_3(B, A))=k7_nat_d(k3_finseq_1(A), 1)) ) ) ) ) ).
fof(t2_laplace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(A), D, D) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(A)))) )  =>  (r2_tarski(B, k4_finseq_1(E)) => k3_finseq_1(k18_matrix_0(B, C, D, u1_struct_0(A), E))=k7_nat_d(D, 1)) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B))))  =>  (r2_tarski(A, k2_finseq_1(k1_matrix_0(C))) => k1_matrix_0(k16_matrix_0(A, u1_struct_0(B), C))=k7_nat_d(k1_matrix_0(C), 1)) ) ) ) ) ) ) ).
fof(t4_laplace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (r1_xxreal_0(k3_finseq_1(B), 1))  => k1_matrix_0(B)=k1_matrix_0(k17_matrix_0(u1_struct_0(A), C, B))) ) ) ) ) ) ) ).
fof(t5_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), B, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  =>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(A, k2_finseq_1(k1_matrix_0(D))) => k1_matrix_0(k18_matrix_0(E, A, B, u1_struct_0(C), D))=k7_nat_d(B, 1)) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_laplace, axiom,  (! [A] :  (v7_ordinal1(A) => k4_card_1(k9_matrix_1(A))=k7_newton(A)) ) ).
fof(t11_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(2, A))  =>  (! [B] :  (m1_matrix_1(B, k9_matrix_1(A)) =>  (v6_matrix_1(B, k8_matrix_1(k9_matrix_1(A))) & B=k1_finseq_2(A)) ) ) ) ) ) ).
fof(t12_laplace, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_finsub_1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_finsub_1(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k5_finsub_1(B), C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(B), C)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(C, C), C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, C), C)))) )  =>  ( ( (! [G] :  (m1_subset_1(G, k5_finsub_1(B)) =>  (! [H] :  (m1_subset_1(H, k5_finsub_1(B)) =>  (r1_xboole_0(G, H) => k4_binop_1(C, F, k3_funct_2(k5_finsub_1(B), C, E, G), k3_funct_2(k5_finsub_1(B), C, E, H))=k3_funct_2(k5_finsub_1(B), C, E, k1_finsub_1(k5_finsub_1(B), G, H))) ) ) ) )  &  (v1_binop_1(F, C) &  (v2_binop_1(F, C) &  (v1_setwiseo(F, C) & k1_funct_1(E, k1_xboole_0)=k3_binop_1(C, F)) ) ) )  =>  (! [G] :  (m1_subset_1(G, k5_finsub_1(A)) =>  ( (! [H] :  (! [I] :  ( (r2_hidden(H, G) & r2_hidden(I, G))  =>  (r1_xboole_0(k1_funct_1(D, H), k1_funct_1(D, I)) | H=I) ) ) )  =>  (k7_setwiseo(A, C, F, G, k1_partfun1(A, k5_finsub_1(B), k5_finsub_1(B), C, D, E))=k7_setwiseo(k5_finsub_1(B), C, F, k8_setwiseo(A, k5_finsub_1(B), D, G), E) &  (k7_setwiseo(k5_finsub_1(B), C, F, k8_setwiseo(A, k5_finsub_1(B), D, G), E)=k1_funct_1(E, k3_tarski(k8_setwiseo(A, k5_finsub_1(B), D, G))) & m1_subset_1(k3_tarski(k8_setwiseo(A, k5_finsub_1(B), D, G)), k5_finsub_1(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v6_struct_0(D))  &  (v13_algstr_0(D) &  (v33_algstr_0(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v3_group_1(D) &  (v5_group_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(D), C, C) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(D)))) )  =>  ( (r2_tarski(A, k2_finseq_1(C)) & r2_tarski(B, k2_finseq_1(C)))  => k2_laplace(A, B, C, D, E)=k18_matrix_0(A, B, C, u1_struct_0(D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(D, k2_finseq_1(A)) & r2_tarski(E, k2_finseq_1(A)))  =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ( (r2_tarski(F, k2_finseq_1(k7_nat_d(A, 1))) & r2_tarski(G, k2_finseq_1(k7_nat_d(A, 1))))  =>  ( ~ ( ( ~ (r1_xxreal_0(D, F))  &  ( ~ (r1_xxreal_0(E, G))  &  ~ (k3_matrix_0(u1_struct_0(B), k2_laplace(D, E, A, B, C), F, G)=k3_matrix_0(u1_struct_0(B), C, F, G)) ) ) )  &  ( (r1_xxreal_0(E, G) =>  (r1_xxreal_0(D, F) | k3_matrix_0(u1_struct_0(B), k2_laplace(D, E, A, B, C), F, G)=k3_matrix_0(u1_struct_0(B), C, F, k1_nat_1(G, 1))) )  &  ( (r1_xxreal_0(D, F) =>  (r1_xxreal_0(E, G) | k3_matrix_0(u1_struct_0(B), k2_laplace(D, E, A, B, C), F, G)=k3_matrix_0(u1_struct_0(B), C, k1_nat_1(F, 1), G)) )  &  ( (r1_xxreal_0(D, F) & r1_xxreal_0(E, G))  => k3_matrix_0(u1_struct_0(B), k2_laplace(D, E, A, B, C), F, G)=k3_matrix_0(u1_struct_0(B), C, k1_nat_1(F, 1), k1_nat_1(G, 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(D, k2_finseq_1(A)) & r2_tarski(E, k2_finseq_1(A)))  => k4_matrix_0(u1_struct_0(B), k2_laplace(D, E, A, B, C))=k2_laplace(E, D, A, B, k4_matrix_0(u1_struct_0(B), C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(B)) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r2_tarski(E, k2_finseq_1(A)) & r2_tarski(F, k2_finseq_1(A)))  => k2_laplace(E, F, A, B, C)=k2_laplace(E, F, A, B, k3_matrix11(E, A, A, u1_struct_0(B), C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, D, B, C) & m2_finseq_1(E, k3_finseq_2(D))) )  =>  (! [F] :  (m2_finseq_1(F, D) =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, D, B, C) & m2_finseq_1(G, k3_finseq_2(D))) )  =>  ( (k3_finseq_1(F)=k3_finseq_1(E) =>  (G=k3_laplace(A, B, C, D, E, F) <=>  (k3_finseq_1(G)=k3_finseq_1(E) &  (k1_matrix_0(G)=k1_matrix_0(E) &  (! [H] :  (v7_ordinal1(H) =>  (! [I] :  (v7_ordinal1(I) =>  (r2_hidden(k4_tarski(H, I), k2_matrix_0(E)) =>  ( ( ~ (I=A)  => k3_matrix_0(D, G, H, I)=k3_matrix_0(D, E, H, I))  &  (I=A => k3_matrix_0(D, G, H, A)=k1_funct_1(F, H)) ) ) ) ) ) ) ) ) ) )  &  ( ~ (k3_finseq_1(F)=k3_finseq_1(E))  =>  (G=k3_laplace(A, B, C, D, E, F) <=> G=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, D, C, B) & m2_finseq_1(E, k3_finseq_2(D))) )  =>  (! [F] :  (m2_finseq_1(F, D) =>  (! [G] :  (v7_ordinal1(G) =>  (r2_tarski(G, k2_finseq_1(k1_matrix_0(E))) =>  ( ( (G=A & k3_finseq_1(F)=k3_finseq_1(E))  => k8_matrix_0(D, k3_laplace(A, C, B, D, E, F), G)=F)  &  ( ~ (G=A)  => k8_matrix_0(D, k3_laplace(A, C, B, D, E, F), G)=k8_matrix_0(D, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, D, C, B) & m2_finseq_1(E, k3_finseq_2(D))) )  =>  (! [F] :  (m2_finseq_1(F, D) =>  ( ~ (r2_tarski(A, k2_finseq_1(k1_matrix_0(E))))  => k3_laplace(A, C, B, D, E, F)=E) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, D, C, B) & m2_finseq_1(E, k3_finseq_2(D))) )  => k3_laplace(A, C, B, D, E, k8_matrix_0(D, E, A))=E) ) ) ) ) ) ) ) ) ) ).
fof(t19_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m2_finseq_1(E, D) =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, D, C, B) & m2_finseq_1(F, k3_finseq_2(D))) )  =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, D, B, C) & m2_finseq_1(G, k3_finseq_2(D))) )  =>  (G=k4_matrix_0(D, F) =>  ( (B=k5_numbers &  ~ (C=k5_numbers) )  | k3_laplace(A, C, B, D, F, E)=k4_matrix_0(D, k3_matrix11(A, B, C, D, G, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_matrix_1(C, k9_matrix_1(k1_nat_1(B, 1))) =>  (r2_tarski(A, k2_finseq_1(k1_nat_1(B, 1))) =>  (! [D] :  (m1_matrix_1(D, k9_matrix_1(B)) =>  (D=k4_laplace(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k2_finseq_1(B)) =>  ( ( ~ (r1_xxreal_0(A, E))  =>  ( ( ~ (r1_xxreal_0(k1_funct_1(C, A), k1_funct_1(C, E)))  => k1_funct_1(D, E)=k1_funct_1(C, E))  &  (r1_xxreal_0(k1_funct_1(C, A), k1_funct_1(C, E)) => k1_funct_1(D, E)=k6_xcmplx_0(k1_funct_1(C, E), 1)) ) )  &  (r1_xxreal_0(A, E) =>  ( ( ~ (r1_xxreal_0(k1_funct_1(C, A), k1_funct_1(C, k1_nat_1(E, 1))))  => k1_funct_1(D, E)=k1_funct_1(C, k1_nat_1(E, 1)))  &  (r1_xxreal_0(k1_funct_1(C, A), k1_funct_1(C, k1_nat_1(E, 1))) => k1_funct_1(D, E)=k6_xcmplx_0(k1_funct_1(C, k1_nat_1(E, 1)), 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_matrix_1(B, k9_matrix_1(k1_nat_1(A, 1))) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r2_tarski(E, k2_finseq_1(k1_nat_1(A, 1))) & k1_funct_1(B, E)=F)  => k11_matrix_1(C, k1_nat_1(A, 1), D, B)=k8_group_1(C, k1_laplace(C, k4_group_1(C), k4_algstr_0(C, k1_group_1(C)), k2_xcmplx_0(E, F)), k11_matrix_1(C, A, D, k4_laplace(E, A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_matrix_1(B, k9_matrix_1(k1_nat_1(A, 1))) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(D, k2_finseq_1(k1_nat_1(A, 1))) & k1_funct_1(B, D)=E)  =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(C), k1_nat_1(A, 1), k1_nat_1(A, 1)) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(C)))) )  =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, u1_struct_0(C), A, A) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(C)))) )  =>  (G=k2_laplace(D, E, k1_nat_1(A, 1), C, F) => k3_funct_2(k9_matrix_1(k1_nat_1(A, 1)), u1_struct_0(C), k11_matrix_3(k1_nat_1(A, 1), C, F), B)=k8_group_1(C, k8_group_1(C, k1_laplace(C, k4_group_1(C), k4_algstr_0(C, k1_group_1(C)), k2_xcmplx_0(D, E)), k3_matrix_0(u1_struct_0(C), F, D, E)), k3_funct_2(k9_matrix_1(A), u1_struct_0(C), k11_matrix_3(A, C, G), k4_laplace(D, A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v6_struct_0(D))  &  (v13_algstr_0(D) &  (v33_algstr_0(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v3_group_1(D) &  (v5_group_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(D), C, C) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(D)))) )  => k5_laplace(A, B, C, D, E)=k12_matrix_3(k7_nat_d(C, 1), D, k2_laplace(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(d5_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v6_struct_0(D))  &  (v13_algstr_0(D) &  (v33_algstr_0(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v3_group_1(D) &  (v5_group_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(D), C, C) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(D)))) )  => k6_laplace(A, B, C, D, E)=k8_group_1(D, k1_laplace(D, k4_group_1(D), k4_algstr_0(D, k1_group_1(D)), k2_xcmplx_0(A, B)), k5_laplace(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t24_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(D, k2_finseq_1(A)) & r2_tarski(E, k2_finseq_1(A)))  => k5_laplace(D, E, A, B, C)=k5_laplace(E, D, A, B, k4_matrix_0(u1_struct_0(B), C))) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (D=k7_laplace(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (r2_hidden(k4_tarski(E, F), k2_matrix_0(D)) => k3_matrix_0(u1_struct_0(B), D, E, F)=k6_laplace(E, F, A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(C)) =>  (E=k8_laplace(A, B, C, D) <=>  (k3_finseq_1(E)=A &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k4_finseq_1(E)) => k1_funct_1(E, F)=k8_group_1(C, k3_matrix_0(u1_struct_0(C), D, B, F), k6_laplace(B, F, A, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(C)) =>  (E=k9_laplace(A, B, C, D) <=>  (k3_finseq_1(E)=A &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k4_finseq_1(E)) => k1_funct_1(E, F)=k8_group_1(C, k3_matrix_0(u1_struct_0(C), D, F, B), k6_laplace(F, B, A, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (r2_tarski(C, k2_finseq_1(A)) => k12_matrix_3(A, B, D)=k4_rlvect_1(B, k8_laplace(A, C, B, D))) ) ) ) ) ) ) ) ) ).
fof(t26_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k2_finseq_1(A)) => k9_laplace(A, D, B, C)=k8_laplace(A, D, B, k4_matrix_0(u1_struct_0(B), C))) ) ) ) ) ) ) ) ) ).
fof(t27_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (r2_tarski(C, k2_finseq_1(A)) => k12_matrix_3(A, B, D)=k4_rlvect_1(B, k9_laplace(A, C, B, D))) ) ) ) ) ) ) ) ) ).
fof(t28_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [E] :  (m1_matrix_1(E, k9_matrix_1(A)) =>  (! [F] :  (v7_ordinal1(F) =>  ( (k3_finseq_1(C)=A & r2_tarski(F, k2_finseq_1(A)))  => k11_fvsum_1(B, k7_matrix_0(u1_struct_0(B), k7_laplace(A, B, D), F), C)=k8_laplace(A, F, B, k3_matrix11(F, A, A, u1_struct_0(B), D, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v6_struct_0(D))  &  (v13_algstr_0(D) &  (v33_algstr_0(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v3_group_1(D) &  (v5_group_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(D), C, C) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(D)))) )  =>  (r2_tarski(A, k2_finseq_1(C)) => k13_fvsum_1(D, k7_matrix_0(u1_struct_0(D), E, B), k8_matrix_0(u1_struct_0(D), k4_matrix_0(u1_struct_0(D), k7_laplace(C, D, E)), A))=k12_matrix_3(C, D, k3_matrix11(A, C, C, u1_struct_0(D), E, k7_matrix_0(u1_struct_0(D), E, B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  ( ~ (k12_matrix_3(A, B, C)=k4_struct_0(B))  => k4_matrix_3(B, C, k1_matrix_7(A, B, k4_matrix_0(u1_struct_0(B), k7_laplace(A, B, C)), k9_algstr_0(B, k12_matrix_3(A, B, C))))=k3_matrix_1(B, A)) ) ) ) ) ) ) ).
fof(t31_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(B)) =>  (! [E] :  (v7_ordinal1(E) =>  ( (k3_finseq_1(D)=A & r2_tarski(E, k2_finseq_1(A)))  => k11_fvsum_1(B, k8_matrix_0(u1_struct_0(B), k7_laplace(A, B, C), E), D)=k8_laplace(A, E, B, k3_matrix11(E, A, A, u1_struct_0(B), k4_matrix_0(u1_struct_0(B), C), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v6_struct_0(D))  &  (v13_algstr_0(D) &  (v33_algstr_0(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v3_group_1(D) &  (v5_group_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(D), C, C) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(D)))) )  =>  ( (r2_tarski(A, k2_finseq_1(C)) & r2_tarski(B, k2_finseq_1(C)))  => k13_fvsum_1(D, k7_matrix_0(u1_struct_0(D), k4_matrix_0(u1_struct_0(D), k7_laplace(C, D, E)), A), k8_matrix_0(u1_struct_0(D), E, B))=k12_matrix_3(C, D, k3_matrix11(A, C, C, u1_struct_0(D), k4_matrix_0(u1_struct_0(D), E), k7_matrix_0(u1_struct_0(D), k4_matrix_0(u1_struct_0(D), E), B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  ( ~ (k12_matrix_3(A, B, C)=k4_struct_0(B))  => k4_matrix_3(B, k1_matrix_7(A, B, k4_matrix_0(u1_struct_0(B), k7_laplace(A, B, C)), k9_algstr_0(B, k12_matrix_3(A, B, C))), C)=k3_matrix_1(B, A)) ) ) ) ) ) ) ).
fof(t34_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (v1_matrix_6(C, A, B) <=>  ~ (k12_matrix_3(A, B, C)=k4_struct_0(B)) ) ) ) ) ) ) ) ).
fof(t35_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  ( ~ (k12_matrix_3(A, B, C)=k4_struct_0(B))  => k1_matrix_6(A, B, C)=k1_matrix_7(A, B, k4_matrix_0(u1_struct_0(B), k7_laplace(A, B, C)), k9_algstr_0(B, k12_matrix_3(A, B, C)))) ) ) ) ) ) ) ).
fof(t36_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (v1_matrix_6(C, A, B) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_hidden(k4_tarski(D, E), k2_matrix_0(k1_matrix_6(A, B, C))) => k3_matrix_0(u1_struct_0(B), k1_matrix_6(A, B, C), D, E)=k8_group_1(B, k8_group_1(B, k9_algstr_0(B, k12_matrix_3(A, B, C)), k1_laplace(B, k4_group_1(B), k4_algstr_0(B, k1_group_1(B)), k2_xcmplx_0(D, E))), k5_laplace(E, D, A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  ( ~ (k12_matrix_3(A, B, C)=k4_struct_0(B))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B))))  =>  (! [E] :  ( (v1_matrix_0(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B))))  =>  ( (k3_finseq_1(D)=A & k4_matrix_3(B, C, D)=E)  =>  (D=k4_matrix_3(B, k1_matrix_6(A, B, C), E) &  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  (r2_hidden(k4_tarski(F, G), k2_matrix_0(D)) => k3_matrix_0(u1_struct_0(B), D, F, G)=k8_group_1(B, k9_algstr_0(B, k12_matrix_3(A, B, C)), k12_matrix_3(A, B, k3_laplace(F, A, A, u1_struct_0(B), C, k8_matrix_0(u1_struct_0(B), E, G))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  ( ~ (k12_matrix_3(A, B, C)=k4_struct_0(B))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B))))  =>  (! [E] :  ( (v1_matrix_0(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B))))  =>  ( (k1_matrix_0(D)=A & k4_matrix_3(B, D, C)=E)  =>  (D=k4_matrix_3(B, E, k1_matrix_6(A, B, C)) &  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  (r2_hidden(k4_tarski(F, G), k2_matrix_0(D)) => k3_matrix_0(u1_struct_0(B), D, F, G)=k8_group_1(B, k9_algstr_0(B, k12_matrix_3(A, B, C)), k12_matrix_3(A, B, k3_matrix11(G, A, A, u1_struct_0(B), C, k7_matrix_0(u1_struct_0(B), E, F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_laplace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) => k11_laplace(A, B, C)=k4_matrix_3(A, B, k4_matrix_0(u1_struct_0(A), k10_laplace(u1_struct_0(A), C)))) ) ) ) ) ) ).
fof(d10_laplace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) => k12_laplace(A, B, C)=k4_matrix_3(A, k10_laplace(u1_struct_0(A), C), B)) ) ) ) ) ) ).
fof(t39_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  ( ~ (k12_matrix_3(A, B, C)=k4_struct_0(B))  =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(B)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(B)) =>  ( (k3_finseq_1(D)=A & k11_laplace(B, C, D)=k4_matrix_0(u1_struct_0(B), k10_laplace(u1_struct_0(B), E)))  =>  (k4_matrix_0(u1_struct_0(B), k10_laplace(u1_struct_0(B), D))=k11_laplace(B, k1_matrix_6(A, B, C), E) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k2_finseq_1(A)) => k1_funct_1(D, F)=k8_group_1(B, k9_algstr_0(B, k12_matrix_3(A, B, C)), k12_matrix_3(A, B, k3_laplace(F, A, A, u1_struct_0(B), C, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  ( ~ (k12_matrix_3(A, B, C)=k4_struct_0(B))  =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(B)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(B)) =>  ( (k3_finseq_1(D)=A & k12_laplace(B, C, D)=k10_laplace(u1_struct_0(B), E))  =>  (k10_laplace(u1_struct_0(B), D)=k12_laplace(B, k1_matrix_6(A, B, C), E) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k2_finseq_1(A)) => k1_funct_1(D, F)=k8_group_1(B, k9_algstr_0(B, k12_matrix_3(A, B, C)), k12_matrix_3(A, B, k3_matrix11(F, A, A, u1_struct_0(B), C, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_laplace, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), k4_ordinal1), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k4_ordinal1), u1_struct_0(A))))) )  &  (m1_subset_1(C, u1_struct_0(A)) & v7_ordinal1(D)) ) )  => m1_subset_1(k1_laplace(A, B, C, D), u1_struct_0(A))) ) ).
fof(redefinition_k1_laplace, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), k4_ordinal1), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k4_ordinal1), u1_struct_0(A))))) )  &  (m1_subset_1(C, u1_struct_0(A)) & v7_ordinal1(D)) ) )  => k1_laplace(A, B, C, D)=k1_binop_1(B, C, D)) ) ).
fof(dt_k2_laplace, axiom,  (! [A, B, C, D, E] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  ( ( ~ (v2_struct_0(D))  &  ( ~ (v6_struct_0(D))  &  (v13_algstr_0(D) &  (v33_algstr_0(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v3_group_1(D) &  (v5_group_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) ) ) ) )  &  (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(D), C, C) & m1_finseq_1(E, k3_finseq_2(u1_struct_0(D)))) ) ) ) ) )  =>  (v1_matrix_0(k2_laplace(A, B, C, D, E)) &  (v2_matrix_0(k2_laplace(A, B, C, D, E), u1_struct_0(D), k7_nat_d(C, 1), k7_nat_d(C, 1)) & m2_finseq_1(k2_laplace(A, B, C, D, E), k3_finseq_2(u1_struct_0(D)))) ) ) ) ).
fof(dt_k3_laplace, axiom,  (! [A, B, C, D, E, F] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  ( ~ (v1_xboole_0(D))  &  ( (v1_matrix_0(E) &  (v2_matrix_0(E, D, B, C) & m1_finseq_1(E, k3_finseq_2(D))) )  & m1_finseq_1(F, D)) ) ) ) )  =>  (v1_matrix_0(k3_laplace(A, B, C, D, E, F)) &  (v2_matrix_0(k3_laplace(A, B, C, D, E, F), D, B, C) & m2_finseq_1(k3_laplace(A, B, C, D, E, F), k3_finseq_2(D))) ) ) ) ).
fof(dt_k4_laplace, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) & m1_subset_1(C, k9_matrix_1(k1_nat_1(B, 1)))) )  => m1_matrix_1(k4_laplace(A, B, C), k9_matrix_1(B))) ) ).
fof(dt_k5_laplace, axiom,  (! [A, B, C, D, E] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  ( ( ~ (v2_struct_0(D))  &  ( ~ (v6_struct_0(D))  &  (v13_algstr_0(D) &  (v33_algstr_0(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v3_group_1(D) &  (v5_group_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) ) ) ) )  &  (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(D), C, C) & m1_finseq_1(E, k3_finseq_2(u1_struct_0(D)))) ) ) ) ) )  => m1_subset_1(k5_laplace(A, B, C, D, E), u1_struct_0(D))) ) ).
fof(dt_k6_laplace, axiom,  (! [A, B, C, D, E] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  ( ( ~ (v2_struct_0(D))  &  ( ~ (v6_struct_0(D))  &  (v13_algstr_0(D) &  (v33_algstr_0(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v3_group_1(D) &  (v5_group_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) ) ) ) )  &  (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(D), C, C) & m1_finseq_1(E, k3_finseq_2(u1_struct_0(D)))) ) ) ) ) )  => m1_subset_1(k6_laplace(A, B, C, D, E), u1_struct_0(D))) ) ).
fof(dt_k7_laplace, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) ) ) )  =>  (v1_matrix_0(k7_laplace(A, B, C)) &  (v2_matrix_0(k7_laplace(A, B, C), u1_struct_0(B), A, A) & m2_finseq_1(k7_laplace(A, B, C), k3_finseq_2(u1_struct_0(B)))) ) ) ) ).
fof(dt_k8_laplace, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  &  (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), A, A) & m1_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) ) ) ) )  => m2_finseq_1(k8_laplace(A, B, C, D), u1_struct_0(C))) ) ).
fof(dt_k9_laplace, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  &  (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), A, A) & m1_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) ) ) ) )  => m2_finseq_1(k9_laplace(A, B, C, D), u1_struct_0(C))) ) ).
fof(dt_k10_laplace, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(B, A))  =>  (v1_matrix_0(k10_laplace(A, B)) &  (v2_matrix_0(k10_laplace(A, B), A, 1, k3_finseq_1(B)) & m2_finseq_1(k10_laplace(A, B), k3_finseq_2(A))) ) ) ) ).
fof(redefinition_k10_laplace, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(B, A))  => k10_laplace(A, B)=k5_finseq_1(B)) ) ).
fof(dt_k11_laplace, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  & m1_finseq_1(C, u1_struct_0(A))) )  =>  (v1_matrix_0(k11_laplace(A, B, C)) & m2_finseq_1(k11_laplace(A, B, C), k3_finseq_2(u1_struct_0(A)))) ) ) ).
fof(dt_k12_laplace, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  & m1_finseq_1(C, u1_struct_0(A))) )  =>  (v1_matrix_0(k12_laplace(A, B, C)) & m2_finseq_1(k12_laplace(A, B, C), k3_finseq_2(u1_struct_0(A)))) ) ) ).
fof(t7_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r2_tarski(B, k2_finseq_1(k1_nat_1(A, 1))) & r2_tarski(C, k2_finseq_1(k1_nat_1(A, 1))))  => k1_card_1(a_3_0_laplace(A, B, C))=k7_newton(A)) ) ) ) ) ) ) ).
fof(t8_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v12_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_matrix_1(C, k9_matrix_1(k1_nat_1(A, 2))) =>  (! [D] :  (m1_subset_1(D, k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A, 2))))) =>  (! [E] :  (m1_subset_1(E, k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A, 2))))) =>  (E=a_4_0_laplace(A, B, C, D) => k7_setwiseo(k2_sgraph1(k2_finseq_1(k1_nat_1(A, 2))), u1_struct_0(B), u2_algstr_0(B), D, k1_matrix11(A, B, C))=k1_laplace(B, k4_group_1(B), k4_algstr_0(B, k1_group_1(B)), k4_card_1(E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v12_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_matrix_1(C, k9_matrix_1(k1_nat_1(A, 2))) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_tarski(D, k2_finseq_1(k1_nat_1(A, 2))) &  (k1_funct_1(C, D)=E &  (! [F] :  (m1_subset_1(F, k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A, 2))))) =>  ~ ( (F=a_2_0_laplace(A, D) & k7_setwiseo(k2_sgraph1(k2_finseq_1(k1_nat_1(A, 2))), u1_struct_0(B), u2_algstr_0(B), F, k1_matrix11(A, B, C))=k1_laplace(B, k4_group_1(B), k4_algstr_0(B, k1_group_1(B)), k2_xcmplx_0(D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(B, k2_finseq_1(k1_nat_1(A, 1))) &  (r1_xxreal_0(2, A) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_sgraph1(k2_finseq_1(A)), k2_sgraph1(k2_finseq_1(k1_nat_1(A, 1)))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_sgraph1(k2_finseq_1(A)), k2_sgraph1(k2_finseq_1(k1_nat_1(A, 1))))))) )  =>  ~ ( (k10_xtuple_0(D)=k6_subset_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A, 1))), a_2_1_laplace(A, B)) &  (v2_funct_1(D) &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(k2_tarski(E, F), k2_sgraph1(k2_finseq_1(A))) =>  (r1_xxreal_0(F, E) |  ( ~ ( ( ~ (r1_xxreal_0(B, F))  &  ( ~ (r1_xxreal_0(B, E))  &  ~ (k1_funct_1(D, k2_tarski(E, F))=k2_tarski(E, F)) ) ) )  &  ( (r1_xxreal_0(B, F) =>  (r1_xxreal_0(B, E) | k1_funct_1(D, k2_tarski(E, F))=k2_tarski(E, k1_nat_1(F, 1))) )  &  ( (r1_xxreal_0(B, F) & r1_xxreal_0(B, E))  => k1_funct_1(D, k2_tarski(E, F))=k2_tarski(k1_nat_1(E, 1), k1_nat_1(F, 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r2_tarski(B, k2_finseq_1(k1_nat_1(A, 1))) & r2_tarski(C, k2_finseq_1(k1_nat_1(A, 1))))  =>  (! [D] :  ~ ( (D=a_3_0_laplace(A, B, C) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, D, k9_matrix_1(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(D, k9_matrix_1(A))))) )  =>  ~ ( (v3_funct_2(E, D, k9_matrix_1(A)) &  (! [F] :  (m1_matrix_1(F, k9_matrix_1(k1_nat_1(A, 1))) =>  (k1_funct_1(F, B)=C => k1_funct_1(E, F)=k4_laplace(B, A, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_laplace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(C, k2_finseq_1(A)) & r2_tarski(D, k2_finseq_1(A)))  =>  (! [E] :  (m1_subset_1(E, k5_finsub_1(k9_matrix_1(A))) =>  (E=a_3_1_laplace(A, C, D) =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(B), A, A) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(B)))) )  => k7_setwiseo(k9_matrix_1(A), u1_struct_0(B), u1_algstr_0(B), E, k11_matrix_3(A, B, F))=k8_group_1(B, k3_matrix_0(u1_struct_0(B), F, C, D), k6_laplace(C, D, A, B, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_laplace, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(B) &  (v7_ordinal1(C) & v7_ordinal1(D)) )  =>  (r2_hidden(A, a_3_0_laplace(B, C, D)) <=>  (? [E] :  (m1_matrix_1(E, k9_matrix_1(k1_nat_1(B, 1))) &  (A=E & k1_funct_1(E, C)=D) ) ) ) ) ) ).
fof(fraenkel_a_4_0_laplace, axiom,  (! [A, B, C, D, E] :  ( (v7_ordinal1(B) &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v12_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_matrix_1(D, k9_matrix_1(k1_nat_1(B, 2))) & m1_subset_1(E, k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(B, 2)))))) ) )  =>  (r2_hidden(A, a_4_0_laplace(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, k2_sgraph1(k2_finseq_1(k1_nat_1(B, 2)))) &  (A=F &  (r2_tarski(F, E) & k3_funct_2(k2_sgraph1(k2_finseq_1(k1_nat_1(B, 2))), u1_struct_0(C), k1_matrix11(B, C, D), F)=k4_algstr_0(C, k1_group_1(C))) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_laplace, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) & v7_ordinal1(C))  =>  (r2_hidden(A, a_2_0_laplace(B, C)) <=>  (? [D] :  (v7_ordinal1(D) &  (A=k2_tarski(D, C) & r2_tarski(k2_tarski(D, C), k2_sgraph1(k2_finseq_1(k1_nat_1(B, 2))))) ) ) ) ) ) ).
fof(fraenkel_a_2_1_laplace, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) & v7_ordinal1(C))  =>  (r2_hidden(A, a_2_1_laplace(B, C)) <=>  (? [D] :  (v7_ordinal1(D) &  (A=k2_tarski(D, C) & r2_tarski(k2_tarski(D, C), k2_sgraph1(k2_finseq_1(k1_nat_1(B, 1))))) ) ) ) ) ) ).
fof(fraenkel_a_3_1_laplace, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(B) &  (v7_ordinal1(C) & v7_ordinal1(D)) )  =>  (r2_hidden(A, a_3_1_laplace(B, C, D)) <=>  (? [E] :  (m1_matrix_1(E, k9_matrix_1(B)) &  (A=E & k1_funct_1(E, C)=D) ) ) ) ) ) ).
fof(cc1_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m2_nat_lat(B, A) => v11_lattices(B)) ) ) ) ).
fof(fc1_latstone, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) & l3_lattices(A)) ) )  &  ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v15_lattices(B) & l3_lattices(B)) ) ) )  =>  (v3_lattices(k7_filter_1(A, B)) & v15_lattices(k7_filter_1(A, B))) ) ) ).
fof(cc2_latstone, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & v17_lattices(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & v1_latstone(A)) ) ) ) ) ).
fof(rc1_latstone, axiom,  (? [A] :  (l3_lattices(A) &  ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v10_lattices(A) &  (v15_lattices(A) &  (v17_lattices(A) & v1_latstone(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc2_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v1_latstone(A) & l3_lattices(A)) ) ) )  =>  ~ (v1_xboole_0(k2_latstone(A))) ) ) ).
fof(cc3_latstone, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & v17_lattices(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & v2_latstone(A)) ) ) ) ) ).
fof(rc2_latstone, axiom,  (? [A] :  (l3_lattices(A) &  ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v10_lattices(A) &  (v17_lattices(A) &  (v1_latstone(A) & v2_latstone(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc4_latstone, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & v3_latstone(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) &  (v15_lattices(A) &  (v1_latstone(A) & v2_latstone(A)) ) ) ) ) ) ) ) ).
fof(cc5_latstone, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) &  (v15_lattices(A) &  (v1_latstone(A) & v2_latstone(A)) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & v3_latstone(A)) ) ) ) ) ).
fof(fc3_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_latstone(A) & l3_lattices(A)) ) )  => v4_latstone(k6_lattices(A), A)) ) ).
fof(fc4_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_latstone(A) & l3_lattices(A)) ) )  => v4_latstone(k5_lattices(A), A)) ) ).
fof(fc5_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_latstone(A) & l3_lattices(A)) ) )  =>  (v20_lattices(k2_latstone(A), A) & v21_lattices(k2_latstone(A), A)) ) ) ).
fof(fc6_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_latstone(A) & l3_lattices(A)) ) )  => v11_lattices(k4_latstone(A))) ) ).
fof(fc7_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_latstone(A) & l3_lattices(A)) ) )  => v17_lattices(k4_latstone(A))) ) ).
fof(fc8_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_latstone(A) & l3_lattices(A)) ) )  =>  ~ (v1_xboole_0(k5_latstone(A))) ) ) ).
fof(fc9_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_latstone(A) & l3_lattices(A)) ) )  => v5_latstone(k6_lattices(A), A)) ) ).
fof(fc10_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_latstone(A) & l3_lattices(A)) ) )  =>  (v20_lattices(k5_latstone(A), A) & v21_lattices(k5_latstone(A), A)) ) ) ).
fof(fc11_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_latstone(A) & l3_lattices(A)) ) )  => v11_lattices(k7_latstone(A))) ) ).
fof(fc12_latstone, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (v8_struct_0(k10_moebius2(A)) & v3_lattices(k10_moebius2(A))) ) ) ).
fof(rc3_latstone, axiom,  (? [A] :  (l3_lattices(A) &  ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v10_lattices(A) &  (v11_lattices(A) &  (v12_lattices(A) &  (v13_lattices(A) &  (v14_lattices(A) &  (v15_lattices(A) &  (v16_lattices(A) &  (v17_lattices(A) &  (v4_lattice3(A) &  (v1_latstone(A) &  (v2_latstone(A) & v3_latstone(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc13_latstone, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (v3_lattices(k10_moebius2(A)) & v17_lattices(k10_moebius2(A))) ) ) ).
fof(fc14_latstone, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (v3_lattices(k10_moebius2(k3_xcmplx_0(A, A))) & v1_latstone(k10_moebius2(k3_xcmplx_0(A, A)))) ) ) ).
fof(fc15_latstone, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (v3_lattices(k10_moebius2(k3_xcmplx_0(A, A))) & v2_latstone(k10_moebius2(k3_xcmplx_0(A, A)))) ) ) ).
fof(fc16_latstone, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (v3_lattices(k10_moebius2(k3_xcmplx_0(A, A))) &  ( ~ (v17_lattices(k10_moebius2(k3_xcmplx_0(A, A))))  & v3_latstone(k10_moebius2(k3_xcmplx_0(A, A)))) ) ) ) ).
fof(rc4_latstone, axiom,  (? [A] :  (l3_lattices(A) &  ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v10_lattices(A) &  ( ~ (v17_lattices(A))  & v3_latstone(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc17_latstone, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v1_latstone(A) & l3_lattices(A)) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v15_lattices(B) &  (v1_latstone(B) & l3_lattices(B)) ) ) ) )  =>  (v3_lattices(k7_filter_1(A, B)) & v1_latstone(k7_filter_1(A, B))) ) ) ).
fof(fc18_latstone, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_latstone(A) & l3_lattices(A)) ) )  &  ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v3_latstone(B) & l3_lattices(B)) ) ) )  =>  (v3_lattices(k7_filter_1(A, B)) & v3_latstone(k7_filter_1(A, B))) ) ) ).
fof(fc19_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  ~ (v1_xboole_0(k8_latstone(A))) ) ) ).
fof(fc20_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (v20_lattices(k8_latstone(A), k7_filter_1(A, A)) & v21_lattices(k8_latstone(A), k7_filter_1(A, A))) ) ) ).
fof(fc21_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  ( ~ (v2_struct_0(k10_latstone(A)))  &  (v10_lattices(k10_latstone(A)) & v13_lattices(k10_latstone(A))) ) ) ) ).
fof(fc22_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  ( ~ (v2_struct_0(k10_latstone(A)))  &  (v10_lattices(k10_latstone(A)) & v14_lattices(k10_latstone(A))) ) ) ) ).
fof(fc23_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  ( ~ (v2_struct_0(k10_latstone(A)))  &  (v10_lattices(k10_latstone(A)) & v1_latstone(k10_latstone(A))) ) ) ) ).
fof(fc24_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  ( ~ (v2_struct_0(k10_latstone(A)))  &  (v10_lattices(k10_latstone(A)) & v2_latstone(k10_latstone(A))) ) ) ) ).
fof(fc25_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  ( ~ (v2_struct_0(k10_latstone(A)))  &  (v10_lattices(k10_latstone(A)) & v3_latstone(k10_latstone(A))) ) ) ) ).
fof(t1_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m2_nat_lat(B, A) => v11_lattices(B)) ) ) ) ).
fof(t2_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v20_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ( (v13_lattices(A) & r2_tarski(k5_lattices(A), B))  =>  (v13_lattices(k10_filter_2(A, B)) & k5_lattices(k10_filter_2(A, B))=k5_lattices(A)) ) ) ) ) ) ).
fof(t3_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v20_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ( (v14_lattices(A) & r2_tarski(k6_lattices(A), B))  =>  (v14_lattices(k10_filter_2(A, B)) & k6_lattices(k10_filter_2(A, B))=k6_lattices(A)) ) ) ) ) ) ).
fof(d1_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_latstone(A, B, C) <=>  (k2_lattices(A, B, C)=k5_lattices(A) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k2_lattices(A, C, D)=k5_lattices(A) => r1_lattices(A, D, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (v1_latstone(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & r1_latstone(A, C, B)) ) ) ) ) ) ) ).
fof(t4_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  => v1_latstone(A)) ) ).
fof(t5_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) &  (v1_latstone(A) & l3_lattices(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_latstone(A, B, D) & r1_latstone(A, C, D))  => B=C) ) ) ) ) ) ) ) ) ).
fof(d3_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) &  (v1_latstone(A) & l3_lattices(A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (C=k1_latstone(A, B) <=> r1_latstone(A, C, B)) ) ) ) ) ) ) ) ).
fof(t6_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) &  (v1_latstone(A) & l3_lattices(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k4_lattices(A, k1_latstone(A, B), B)=k5_lattices(A)) ) ) ) ).
fof(t7_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) &  (v1_latstone(A) & l3_lattices(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r3_lattices(A, B, k1_latstone(A, k1_latstone(A, B)))) ) ) ) ).
fof(t8_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) &  (v1_latstone(A) & l3_lattices(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_lattices(A, B, C) => r3_lattices(A, k1_latstone(A, C), k1_latstone(A, B))) ) ) ) ) ) ) ).
fof(t9_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) &  (v1_latstone(A) & l3_lattices(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_latstone(A, B)=k1_latstone(A, k1_latstone(A, k1_latstone(A, B)))) ) ) ) ).
fof(t10_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v1_latstone(A) & l3_lattices(A)) ) ) )  => k1_latstone(A, k5_lattices(A))=k6_lattices(A)) ) ).
fof(t11_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v1_latstone(A) & l3_lattices(A)) ) ) )  => k1_latstone(A, k6_lattices(A))=k5_lattices(A)) ) ).
fof(t12_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k7_lattices(A, B)=k1_latstone(A, B)) ) ) ) ).
fof(t13_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v1_latstone(A) & l3_lattices(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_latstone(A, C, B) => r2_tarski(C, k6_latticea(A, B))) ) ) ) ) ) ) ).
fof(t14_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v1_latstone(A) & l3_lattices(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r2_tarski(k1_latstone(A, B), k6_latticea(A, B))) ) ) ) ).
fof(t16_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) &  (v1_latstone(A) & l3_lattices(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (r2_tarski(B, k2_latstone(A)) <=> k1_latstone(A, k1_latstone(A, B))=B) ) ) ) ) ).
fof(t17_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) &  (v13_lattices(A) &  (v1_latstone(A) & l3_lattices(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (r2_tarski(B, k2_latstone(A)) & r2_tarski(C, k2_latstone(A)))  => r2_tarski(k4_lattices(A, B, C), k2_latstone(A))) ) ) ) ) ) ) ).
fof(d5_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (v2_latstone(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_lattices(A, k1_latstone(A, B), k1_latstone(A, k1_latstone(A, B)))=k6_lattices(A)) ) ) ) ) ).
fof(t18_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  => v2_latstone(A)) ) ).
fof(t19_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) &  (v15_lattices(A) &  (v1_latstone(A) & l3_lattices(A)) ) ) ) )  =>  (v2_latstone(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_latstone(A, k4_lattices(A, B, C))=k3_lattices(A, k1_latstone(A, B), k1_latstone(A, C))) ) ) ) ) ) ) ).
fof(d6_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (v3_latstone(A) <=>  (v1_latstone(A) &  (v11_lattices(A) &  (v15_lattices(A) & v2_latstone(A)) ) ) ) ) ) ).
fof(t20_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) &  (v15_lattices(A) &  (v1_latstone(A) & l3_lattices(A)) ) ) ) )  =>  (v2_latstone(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (r2_tarski(B, k2_latstone(A)) & r2_tarski(C, k2_latstone(A)))  => r2_tarski(k3_lattices(A, B, C), k2_latstone(A))) ) ) ) ) ) ) ) ).
fof(t21_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_latstone(A) & l3_lattices(A)) ) )  =>  (r2_tarski(k6_lattices(A), k2_latstone(A)) & r2_tarski(k5_lattices(A), k2_latstone(A))) ) ) ).
fof(d7_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_latstone(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v4_latstone(B, A) <=> r2_tarski(B, k2_latstone(A))) ) ) ) ) ).
fof(d8_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_latstone(A) & l3_lattices(A)) ) )  => k4_latstone(A)=k10_filter_2(A, k3_latstone(A))) ) ).
fof(t22_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_latstone(A) & l3_lattices(A)) ) )  =>  (k5_lattices(A)=k5_lattices(k4_latstone(A)) & k6_lattices(A)=k6_lattices(k4_latstone(A))) ) ) ).
fof(t23_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_latstone(A) & l3_lattices(A)) ) )  => r2_tarski(k6_lattices(A), k5_latstone(A))) ) ).
fof(d10_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_latstone(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v5_latstone(B, A) <=> r2_tarski(B, k5_latstone(A))) ) ) ) ) ).
fof(t24_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_latstone(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (r2_tarski(B, k5_latstone(A)) => k1_latstone(A, B)=k5_lattices(A)) ) ) ) ) ).
fof(d11_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_latstone(A) & l3_lattices(A)) ) )  => k7_latstone(A)=k10_filter_2(A, k6_latstone(A))) ) ).
fof(t25_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_latstone(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (B=k4_lattices(A, C, D) &  (r2_tarski(C, k3_latstone(A)) & r2_tarski(D, k6_latstone(A))) ) ) ) ) ) ) ) ) ) ).
fof(t26_latstone, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  => k3_moebius1(A)=k2_tarski(1, A)) ) ).
fof(t27_latstone, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  => k3_moebius1(k3_xcmplx_0(A, A))=k1_enumset1(1, A, k3_xcmplx_0(A, A))) ) ).
fof(t28_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (A=k10_moebius2(k3_xcmplx_0(B, B)) & C=B)  => k1_latstone(A, C)=k5_lattices(A)) ) ) ) ) ) ) ).
fof(t29_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) & l3_lattices(A)) ) )  &  ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v15_lattices(B) & l3_lattices(B)) ) ) )  =>  ( (r1_latstone(A, C, D) & r1_latstone(B, E, F))  <=> r1_latstone(k7_filter_1(A, B), k9_filter_1(A, B, C, E), k9_filter_1(A, B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) & l3_lattices(A)) ) )  &  ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v15_lattices(B) & l3_lattices(B)) ) ) )  =>  ( (v1_latstone(A) & v1_latstone(B))  <=> v1_latstone(k7_filter_1(A, B))) ) ) ) ) ) ).
fof(t31_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v1_latstone(A) & l3_lattices(A)) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v15_lattices(B) &  (v1_latstone(B) & l3_lattices(B)) ) ) ) )  => k1_latstone(k7_filter_1(A, B), k9_filter_1(A, B, C, D))=k9_filter_1(A, B, k1_latstone(A, C), k1_latstone(B, D))) ) ) ) ) ) ) ) ) ).
fof(t32_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v1_latstone(A) &  (v2_latstone(A) & l3_lattices(A)) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v15_lattices(B) &  (v1_latstone(B) &  (v2_latstone(B) & l3_lattices(B)) ) ) ) ) )  => v2_latstone(k7_filter_1(A, B))) ) ) ) ) ).
fof(t33_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  ( (v3_latstone(A) & v3_latstone(B))  => v3_latstone(k7_filter_1(A, B))) ) ) ) ) ).
fof(d13_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  => k10_latstone(A)=k10_filter_2(k7_filter_1(A, A), k9_latstone(A))) ) ).
fof(t34_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  => u1_struct_0(k10_latstone(A))=k9_latstone(A)) ) ).
fof(t35_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  => r2_tarski(k9_filter_1(A, A, k5_lattices(A), k5_lattices(A)), u1_struct_0(k10_latstone(A)))) ) ).
fof(t36_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  => r2_tarski(k9_filter_1(A, A, k6_lattices(A), k6_lattices(A)), u1_struct_0(k10_latstone(A)))) ) ).
fof(t37_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  => k5_lattices(k10_latstone(A))=k9_filter_1(A, A, k5_lattices(A), k5_lattices(A))) ) ).
fof(t38_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  => k6_lattices(k10_latstone(A))=k9_filter_1(A, A, k6_lattices(A), k6_lattices(A))) ) ).
fof(t39_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  ( (B=k10_latstone(A) & E=k9_filter_1(A, A, C, D))  => k1_latstone(B, E)=k9_filter_1(A, A, k7_lattices(A, D), k7_lattices(A, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_latstone, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k1_latstone(A, B), u1_struct_0(A))) ) ).
fof(dt_k2_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) &  (v1_latstone(A) & l3_lattices(A)) ) ) )  => m1_subset_1(k2_latstone(A), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k3_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_latstone(A) & l3_lattices(A)) ) )  =>  (v20_lattices(k3_latstone(A), A) &  (v21_lattices(k3_latstone(A), A) & m1_subset_1(k3_latstone(A), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ).
fof(redefinition_k3_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_latstone(A) & l3_lattices(A)) ) )  => k3_latstone(A)=k2_latstone(A)) ) ).
fof(dt_k4_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_latstone(A) & l3_lattices(A)) ) )  => m2_nat_lat(k4_latstone(A), A)) ) ).
fof(dt_k5_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) )  => m1_subset_1(k5_latstone(A), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k6_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_latstone(A) & l3_lattices(A)) ) )  =>  (v20_lattices(k6_latstone(A), A) &  (v21_lattices(k6_latstone(A), A) & m1_subset_1(k6_latstone(A), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ).
fof(redefinition_k6_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_latstone(A) & l3_lattices(A)) ) )  => k6_latstone(A)=k5_latstone(A)) ) ).
fof(dt_k7_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_latstone(A) & l3_lattices(A)) ) )  => m2_nat_lat(k7_latstone(A), A)) ) ).
fof(dt_k8_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  => m1_subset_1(k8_latstone(A), k1_zfmisc_1(u1_struct_0(k7_filter_1(A, A))))) ) ).
fof(dt_k9_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  ( ~ (v1_xboole_0(k9_latstone(A)))  &  (v20_lattices(k9_latstone(A), k7_filter_1(A, A)) &  (v21_lattices(k9_latstone(A), k7_filter_1(A, A)) & m1_subset_1(k9_latstone(A), k1_zfmisc_1(u1_struct_0(k7_filter_1(A, A))))) ) ) ) ) ).
fof(redefinition_k9_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  => k9_latstone(A)=k8_latstone(A)) ) ).
fof(dt_k10_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  ( ~ (v2_struct_0(k10_latstone(A)))  &  (v10_lattices(k10_latstone(A)) & l3_lattices(k10_latstone(A))) ) ) ) ).
fof(d4_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) &  (v1_latstone(A) & l3_lattices(A)) ) ) )  => k2_latstone(A)=a_1_0_latstone(A)) ) ).
fof(t15_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) &  (v1_latstone(A) & l3_lattices(A)) ) ) )  => k2_latstone(A)=a_1_1_latstone(A)) ) ).
fof(d9_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) )  => k5_latstone(A)=a_1_2_latstone(A)) ) ).
fof(d12_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  => k8_latstone(A)=a_1_3_latstone(A)) ) ).
fof(t40_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  => k3_latstone(k10_latstone(A))=a_1_4_latstone(A)) ) ).
fof(t41_latstone, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  => k6_latstone(k10_latstone(A))=a_1_5_latstone(A)) ) ).
fof(fraenkel_a_1_0_latstone, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v13_lattices(B) &  (v1_latstone(B) & l3_lattices(B)) ) ) )  =>  (r2_hidden(A, a_1_0_latstone(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(B)) & A=k1_latstone(B, C)) ) ) ) ) ).
fof(fraenkel_a_1_1_latstone, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v13_lattices(B) &  (v1_latstone(B) & l3_lattices(B)) ) ) )  =>  (r2_hidden(A, a_1_1_latstone(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(B)) &  (A=C & k1_latstone(B, k1_latstone(B, C))=C) ) ) ) ) ) ).
fof(fraenkel_a_1_2_latstone, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v13_lattices(B) & l3_lattices(B)) ) )  =>  (r2_hidden(A, a_1_2_latstone(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(B)) &  (A=C & k1_latstone(B, C)=k5_lattices(B)) ) ) ) ) ) ).
fof(fraenkel_a_1_3_latstone, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v17_lattices(B) & l3_lattices(B)) ) )  =>  (r2_hidden(A, a_1_3_latstone(B)) <=>  (? [C, D] :  ( (m1_subset_1(C, u1_struct_0(B)) & m1_subset_1(D, u1_struct_0(B)))  &  (A=k9_filter_1(B, B, C, D) & r3_lattices(B, C, D)) ) ) ) ) ) ).
fof(fraenkel_a_1_4_latstone, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v17_lattices(B) & l3_lattices(B)) ) )  =>  (r2_hidden(A, a_1_4_latstone(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(B)) & A=k9_filter_1(B, B, C, C)) ) ) ) ) ).
fof(fraenkel_a_1_5_latstone, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v17_lattices(B) & l3_lattices(B)) ) )  =>  (r2_hidden(A, a_1_5_latstone(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(B)) & A=k9_filter_1(B, B, C, k6_lattices(B))) ) ) ) ) ).
fof(t1_latsubgr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) => u1_struct_0(k10_group_2(A, B, C))=k3_xboole_0(u1_struct_0(B), u1_struct_0(C))) ) ) ) ) ) ).
fof(t2_latsubgr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (r2_tarski(B, k1_group_3(A)) <=>  (? [C] :  ( (v15_algstr_0(C) & m1_group_2(C, A))  & B=C) ) ) ) ) ) ).
fof(t3_latsubgr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v15_algstr_0(C) & m1_group_2(C, A))  =>  (B=u1_struct_0(C) => r1_group_2(A, k5_group_4(A, B), C)) ) ) ) ) ) ) ).
fof(t4_latsubgr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (D=k2_xboole_0(u1_struct_0(B), u1_struct_0(C)) => r1_group_2(A, k8_group_4(A, B, C), k5_group_4(A, D))) ) ) ) ) ) ) ) ) ).
fof(t5_latsubgr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_struct_0(B, D) | r1_struct_0(C, D))  => r1_struct_0(k8_group_4(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t6_latsubgr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (! [D] :  (m1_group_2(D, A) =>  (? [E] :  ( (v15_algstr_0(E) & m1_group_2(E, B))  & u1_struct_0(E)=k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, u1_struct_0(D))) ) ) ) ) ) ) ) ) ) ).
fof(t7_latsubgr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (! [D] :  (m1_group_2(D, B) =>  (? [E] :  ( (v15_algstr_0(E) & m1_group_2(E, A))  & u1_struct_0(E)=k8_relset_1(u1_struct_0(A), u1_struct_0(B), C, u1_struct_0(D))) ) ) ) ) ) ) ) ) ) ).
fof(t8_latsubgr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (! [D] :  (m1_group_2(D, A) =>  (! [E] :  (m1_group_2(E, A) =>  (! [F] :  (m1_group_2(F, B) =>  (! [G] :  (m1_group_2(G, B) =>  ( (u1_struct_0(F)=k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, u1_struct_0(D)) &  (u1_struct_0(G)=k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, u1_struct_0(E)) & m1_group_6(D, A, E)) )  => m1_group_6(F, B, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_latsubgr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (! [D] :  (m1_group_2(D, B) =>  (! [E] :  (m1_group_2(E, B) =>  (! [F] :  (m1_group_2(F, A) =>  (! [G] :  (m1_group_2(G, A) =>  ( (u1_struct_0(F)=k8_relset_1(u1_struct_0(A), u1_struct_0(B), C, u1_struct_0(D)) &  (u1_struct_0(G)=k8_relset_1(u1_struct_0(A), u1_struct_0(B), C, u1_struct_0(E)) & m1_group_6(D, B, E)) )  => m1_group_6(F, A, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_latsubgr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, u1_struct_0(k5_group_4(A, D))))) ) ) ) ) ) ) ) ).
fof(t11_latsubgr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_group_2(D, A) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))) =>  (F=k2_xboole_0(u1_struct_0(C), u1_struct_0(D)) => k7_relset_1(u1_struct_0(A), u1_struct_0(B), E, u1_struct_0(k8_group_4(A, C, D)))=k7_relset_1(u1_struct_0(A), u1_struct_0(B), E, u1_struct_0(k5_group_4(A, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_latsubgr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (B=k1_tarski(k1_group_1(A)) => r1_group_2(A, k5_group_4(A, B), k6_group_2(A))) ) ) ) ) ).
fof(d1_latsubgr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_group_3(A), k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_group_3(A), k9_setfam_1(u1_struct_0(A)))))) )  =>  (B=k1_latsubgr(A) <=>  (! [C] :  ( (v15_algstr_0(C) & m1_group_2(C, A))  => k1_funct_1(B, C)=u1_struct_0(C)) ) ) ) ) ) ) ).
fof(t13_latsubgr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, k1_funct_1(k1_latsubgr(A), B)) <=> r1_struct_0(B, C)) ) ) ) ) ) ) ).
fof(t14_latsubgr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  => r2_tarski(k1_group_1(A), k1_funct_1(k1_latsubgr(A), B))) ) ) ) ).
fof(t15_latsubgr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  ~ (k1_funct_1(k1_latsubgr(A), B)=k1_xboole_0) ) ) ) ) ).
fof(t16_latsubgr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, k1_funct_1(k1_latsubgr(A), B)) & r2_tarski(D, k1_funct_1(k1_latsubgr(A), B)))  => r2_tarski(k6_algstr_0(A, C, D), k1_funct_1(k1_latsubgr(A), B))) ) ) ) ) ) ) ) ) ).
fof(t17_latsubgr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, k1_funct_1(k1_latsubgr(A), B)) => r2_tarski(k2_group_1(A, C), k1_funct_1(k1_latsubgr(A), B))) ) ) ) ) ) ) ).
fof(t18_latsubgr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  (! [C] :  ( (v15_algstr_0(C) & m1_group_2(C, A))  => u1_struct_0(k10_group_2(A, B, C))=k3_xboole_0(k1_funct_1(k1_latsubgr(A), B), k1_funct_1(k1_latsubgr(A), C))) ) ) ) ) ) ).
fof(t19_latsubgr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( (v15_algstr_0(B) & m1_group_2(B, A))  =>  (! [C] :  ( (v15_algstr_0(C) & m1_group_2(C, A))  => k1_funct_1(k1_latsubgr(A), k10_group_2(A, B, C))=k3_xboole_0(k1_funct_1(k1_latsubgr(A), B), k1_funct_1(k1_latsubgr(A), C))) ) ) ) ) ) ).
fof(d2_latsubgr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_group_3(A))))  =>  (! [C] :  ( (v15_algstr_0(C) & m1_group_2(C, A))  =>  (C=k2_latsubgr(A, B) <=> u1_struct_0(C)=k6_setfam_1(u1_struct_0(A), k7_relset_1(k1_group_3(A), k9_setfam_1(u1_struct_0(A)), k1_latsubgr(A), B))) ) ) ) ) ) ) ).
fof(t20_latsubgr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_group_3(A))))  =>  (r2_tarski(k6_group_2(A), B) => r1_group_2(A, k2_latsubgr(A, B), k6_group_2(A))) ) ) ) ) ).
fof(t21_latsubgr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_group_3(A)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_group_3(A))))  =>  (C=k1_tarski(B) => k2_latsubgr(A, C)=B) ) ) ) ) ) ) ).
fof(t22_latsubgr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k11_group_4(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k11_group_4(A))) =>  ( (D=B & E=C)  => k3_lattices(k11_group_4(A), D, E)=k8_group_4(A, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_latsubgr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k11_group_4(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k11_group_4(A))) =>  ( (D=B & E=C)  => k4_lattices(k11_group_4(A), D, E)=k10_group_2(A, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_latsubgr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k11_group_4(A))) =>  (! [C] :  (m1_group_2(C, A) =>  (B=C =>  (v15_algstr_0(C) & m1_group_2(C, A)) ) ) ) ) ) ) ) ).
fof(t25_latsubgr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k11_group_4(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k11_group_4(A))) =>  ( (D=B & E=C)  =>  (r3_lattices(k11_group_4(A), D, E) <=> r1_tarski(u1_struct_0(B), u1_struct_0(C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_latsubgr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_group_2(B, A) =>  (! [C] :  (m1_group_2(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k11_group_4(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k11_group_4(A))) =>  ( (D=B & E=C)  =>  (r3_lattices(k11_group_4(A), D, E) <=> m1_group_6(B, A, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_latsubgr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  => v4_lattice3(k11_group_4(A))) ) ).
fof(d3_latsubgr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k11_group_4(A)), u1_struct_0(k11_group_4(B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k11_group_4(A)), u1_struct_0(k11_group_4(B)))))) )  =>  (D=k3_latsubgr(A, B, C) <=>  (! [E] :  ( (v15_algstr_0(E) & m1_group_2(E, A))  =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(B))) =>  (F=k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, u1_struct_0(E)) => k1_funct_1(D, E)=k5_group_4(B, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_latsubgr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  => r2_funct_2(u1_struct_0(k11_group_4(A)), u1_struct_0(k11_group_4(A)), k3_latsubgr(A, A, k6_partfun1(u1_struct_0(A))), k6_partfun1(u1_struct_0(k11_group_4(A))))) ) ).
fof(t29_latsubgr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (v2_funct_1(C) => v2_funct_1(k3_latsubgr(A, B, C))) ) ) ) ) ) ) ).
fof(t30_latsubgr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  => k1_funct_1(k3_latsubgr(A, B, C), k6_group_2(A))=k6_group_2(B)) ) ) ) ) ) ).
fof(t31_latsubgr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (v2_funct_1(C) => m3_vectsp_8(k3_latsubgr(A, B, C), k11_group_4(A), k11_group_4(B))) ) ) ) ) ) ) ).
fof(t32_latsubgr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  => m4_vectsp_8(k3_latsubgr(A, B, C), k11_group_4(A), k11_group_4(B))) ) ) ) ) ) ).
fof(t33_latsubgr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (v2_funct_1(C) => m1_lattice4(k3_latsubgr(A, B, C), k11_group_4(A), k11_group_4(B))) ) ) ) ) ) ) ).
fof(dt_k1_latsubgr, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (v1_funct_1(k1_latsubgr(A)) &  (v1_funct_2(k1_latsubgr(A), k1_group_3(A), k9_setfam_1(u1_struct_0(A))) & m1_subset_1(k1_latsubgr(A), k1_zfmisc_1(k2_zfmisc_1(k1_group_3(A), k9_setfam_1(u1_struct_0(A)))))) ) ) ) ).
fof(dt_k2_latsubgr, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_group_3(A)))) )  =>  (v15_algstr_0(k2_latsubgr(A, B)) & m1_group_2(k2_latsubgr(A, B), A)) ) ) ).
fof(dt_k3_latsubgr, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_group_1(B) &  (v3_group_1(B) & l3_algstr_0(B)) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (v1_funct_1(k3_latsubgr(A, B, C)) &  (v1_funct_2(k3_latsubgr(A, B, C), u1_struct_0(k11_group_4(A)), u1_struct_0(k11_group_4(B))) & m1_subset_1(k3_latsubgr(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k11_group_4(A)), u1_struct_0(k11_group_4(B)))))) ) ) ) ).
fof(fc1_latsum_1, axiom,  (! [A, B] :  ( (l1_orders_2(A) &  ( ~ (v2_struct_0(B))  & l1_orders_2(B)) )  =>  ( ~ (v2_struct_0(k1_latsum_1(A, B)))  & v1_orders_2(k1_latsum_1(A, B))) ) ) ).
fof(fc2_latsum_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  & l1_orders_2(B))  =>  ( ~ (v2_struct_0(k1_latsum_1(A, B)))  & v1_orders_2(k1_latsum_1(A, B))) ) ) ).
fof(t1_latsum_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ~ ( (r2_tarski(A, k2_xboole_0(C, D)) &  (r2_tarski(B, k2_xboole_0(C, D)) &  ( ~ ( (r2_tarski(A, k6_subset_1(C, D)) & r2_tarski(B, k6_subset_1(C, D))) )  &  ( ~ ( (r2_tarski(A, D) & r2_tarski(B, D)) )  &  ( ~ ( (r2_tarski(A, k6_subset_1(C, D)) & r2_tarski(B, D)) )  &  ~ ( (r2_tarski(A, D) & r2_tarski(B, k6_subset_1(C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_latsum_1, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (l1_orders_2(B) =>  (r1_latsum_1(A, B) <=>  (! [C] :  (! [D] :  ( (r2_tarski(C, k3_xboole_0(u1_struct_0(A), u1_struct_0(B))) & r2_tarski(D, k3_xboole_0(u1_struct_0(A), u1_struct_0(B))))  =>  (r2_hidden(k4_tarski(C, D), u1_orders_2(A)) <=> r2_hidden(k4_tarski(C, D), u1_orders_2(B))) ) ) ) ) ) ) ) ) ).
fof(d2_latsum_1, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (l1_orders_2(B) =>  (! [C] :  ( (v1_orders_2(C) & l1_orders_2(C))  =>  (C=k1_latsum_1(A, B) <=>  (u1_struct_0(C)=k2_xboole_0(u1_struct_0(A), u1_struct_0(B)) & u1_orders_2(C)=k2_xboole_0(k2_xboole_0(u1_orders_2(A), u1_orders_2(B)), k4_relset_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_orders_2(A), u1_orders_2(B)))) ) ) ) ) ) ) ) ).
fof(t2_latsum_1, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (l1_orders_2(B) =>  (r1_relset_1(u1_struct_0(A), u1_struct_0(A), u1_orders_2(A), u1_orders_2(k1_latsum_1(A, B))) & r1_relset_1(u1_struct_0(B), u1_struct_0(B), u1_orders_2(B), u1_orders_2(k1_latsum_1(A, B)))) ) ) ) ) ).
fof(t3_latsum_1, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (l1_orders_2(B) =>  ( (v3_orders_2(A) & v3_orders_2(B))  => v3_orders_2(k1_latsum_1(A, B))) ) ) ) ) ).
fof(t4_latsum_1, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (l1_orders_2(B) =>  (! [C] :  (! [D] :  ( (r2_hidden(k4_tarski(C, D), u1_orders_2(k1_latsum_1(A, B))) &  (r2_tarski(C, u1_struct_0(A)) &  (r2_tarski(D, u1_struct_0(A)) &  (r1_latsum_1(A, B) & v4_orders_2(A)) ) ) )  => r2_hidden(k4_tarski(C, D), u1_orders_2(A))) ) ) ) ) ) ) ).
fof(t5_latsum_1, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (l1_orders_2(B) =>  (! [C] :  (! [D] :  ( (r2_hidden(k4_tarski(C, D), u1_orders_2(k1_latsum_1(A, B))) &  (r2_tarski(C, u1_struct_0(B)) &  (r2_tarski(D, u1_struct_0(B)) &  (r1_latsum_1(A, B) & v4_orders_2(B)) ) ) )  => r2_hidden(k4_tarski(C, D), u1_orders_2(B))) ) ) ) ) ) ) ).
fof(t6_latsum_1, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (l1_orders_2(B) =>  (! [C] :  (! [D] :  ( (r2_hidden(k4_tarski(C, D), u1_orders_2(A)) => r2_hidden(k4_tarski(C, D), u1_orders_2(k1_latsum_1(A, B))))  &  (r2_hidden(k4_tarski(C, D), u1_orders_2(B)) => r2_hidden(k4_tarski(C, D), u1_orders_2(k1_latsum_1(A, B)))) ) ) ) ) ) ) ) ).
fof(t7_latsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_latsum_1(A, B))) =>  (r2_tarski(C, u1_struct_0(A)) | r2_tarski(C, k6_subset_1(u1_struct_0(B), u1_struct_0(A)))) ) ) ) ) ) ) ).
fof(t8_latsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k1_latsum_1(A, B))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k1_latsum_1(A, B))) =>  ( (C=E &  (D=F &  (r1_latsum_1(A, B) & v4_orders_2(A)) ) )  =>  (r1_orders_2(A, C, D) <=> r1_orders_2(k1_latsum_1(A, B), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_latsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_latsum_1(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_latsum_1(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( (C=E &  (D=F &  (r1_latsum_1(A, B) & v4_orders_2(B)) ) )  =>  (r1_orders_2(k1_latsum_1(A, B), C, D) <=> r1_orders_2(B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_latsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) & l1_orders_2(B)) ) ) ) )  =>  (! [C] :  (r2_tarski(C, u1_struct_0(A)) => m1_subset_1(C, u1_struct_0(k1_latsum_1(A, B)))) ) ) ) ) ) ).
fof(t11_latsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) & l1_orders_2(B)) ) ) ) )  =>  (! [C] :  (r2_tarski(C, u1_struct_0(B)) => m1_subset_1(C, u1_struct_0(k1_latsum_1(A, B)))) ) ) ) ) ) ).
fof(t12_latsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  =>  (! [C] :  (r2_tarski(C, k3_xboole_0(u1_struct_0(A), u1_struct_0(B))) => m1_subset_1(C, u1_struct_0(A))) ) ) ) ) ) ).
fof(t13_latsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  =>  (! [C] :  (r2_tarski(C, k3_xboole_0(u1_struct_0(A), u1_struct_0(B))) => m1_subset_1(C, u1_struct_0(B))) ) ) ) ) ) ).
fof(t14_latsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) & l1_orders_2(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_latsum_1(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_latsum_1(A, B))) =>  ( (r2_tarski(C, u1_struct_0(A)) &  (r2_tarski(D, u1_struct_0(B)) & r1_latsum_1(A, B)) )  =>  (r1_orders_2(k1_latsum_1(A, B), C, D) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(k1_latsum_1(A, B))) &  (r2_tarski(E, k3_xboole_0(u1_struct_0(A), u1_struct_0(B))) &  (r1_orders_2(k1_latsum_1(A, B), C, E) & r1_orders_2(k1_latsum_1(A, B), E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_latsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( (C=E &  (D=F &  (r1_latsum_1(A, B) &  (v4_orders_2(A) & v4_orders_2(B)) ) ) )  =>  (r1_orders_2(A, C, D) <=> r1_orders_2(B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_latsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  ( (v1_waybel_0(B, A) &  (v12_waybel_0(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k13_lattice3(A, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t17_latsum_1, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (l1_orders_2(B) =>  (! [C] :  (! [D] :  ( ( (v13_waybel_0(k3_xboole_0(u1_struct_0(A), u1_struct_0(B)), A) & m1_subset_1(k3_xboole_0(u1_struct_0(A), u1_struct_0(B)), k1_zfmisc_1(u1_struct_0(A))))  &  (r2_hidden(k4_tarski(C, D), u1_orders_2(k1_latsum_1(A, B))) & r2_tarski(C, u1_struct_0(B))) )  => r2_tarski(D, u1_struct_0(B))) ) ) ) ) ) ) ).
fof(t18_latsum_1, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (l1_orders_2(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_latsum_1(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_latsum_1(A, B))) =>  ( ( (v13_waybel_0(k3_xboole_0(u1_struct_0(A), u1_struct_0(B)), A) & m1_subset_1(k3_xboole_0(u1_struct_0(A), u1_struct_0(B)), k1_zfmisc_1(u1_struct_0(A))))  &  (r1_orders_2(k1_latsum_1(A, B), C, D) & r2_tarski(C, u1_struct_0(B))) )  => r2_tarski(D, u1_struct_0(B))) ) ) ) ) ) ) ) ) ).
fof(t19_latsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) & l1_orders_2(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( ( (v1_waybel_0(k3_xboole_0(u1_struct_0(A), u1_struct_0(B)), B) &  (v12_waybel_0(k3_xboole_0(u1_struct_0(A), u1_struct_0(B)), B) & m1_subset_1(k3_xboole_0(u1_struct_0(A), u1_struct_0(B)), k1_zfmisc_1(u1_struct_0(B)))) )  &  ( (v13_waybel_0(k3_xboole_0(u1_struct_0(A), u1_struct_0(B)), A) & m1_subset_1(k3_xboole_0(u1_struct_0(A), u1_struct_0(B)), k1_zfmisc_1(u1_struct_0(A))))  &  (r1_latsum_1(A, B) &  (C=E & D=F) ) ) )  => k13_lattice3(A, C, D)=k13_lattice3(B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_latsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_yellow_0(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  =>  ( ( ~ (v1_xboole_0(k3_xboole_0(u1_struct_0(A), u1_struct_0(B))))  &  (v1_waybel_0(k3_xboole_0(u1_struct_0(A), u1_struct_0(B)), B) &  (v12_waybel_0(k3_xboole_0(u1_struct_0(A), u1_struct_0(B)), B) & m1_subset_1(k3_xboole_0(u1_struct_0(A), u1_struct_0(B)), k1_zfmisc_1(u1_struct_0(B)))) ) )  => r2_tarski(k3_yellow_0(B), u1_struct_0(A))) ) ) ) ) ).
fof(t21_latsum_1, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (l1_orders_2(B) =>  (! [C] :  (! [D] :  ( ( (v12_waybel_0(k3_xboole_0(u1_struct_0(A), u1_struct_0(B)), B) & m1_subset_1(k3_xboole_0(u1_struct_0(A), u1_struct_0(B)), k1_zfmisc_1(u1_struct_0(B))))  &  (r2_hidden(k4_tarski(C, D), u1_orders_2(k1_latsum_1(A, B))) & r2_tarski(D, u1_struct_0(A))) )  => r2_tarski(C, u1_struct_0(A))) ) ) ) ) ) ) ).
fof(t22_latsum_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (l1_orders_2(C) =>  (! [D] :  (l1_orders_2(D) =>  ~ ( (r2_hidden(k4_tarski(A, B), u1_orders_2(k1_latsum_1(C, D))) &  ( (v13_waybel_0(k3_xboole_0(u1_struct_0(C), u1_struct_0(D)), C) & m1_subset_1(k3_xboole_0(u1_struct_0(C), u1_struct_0(D)), k1_zfmisc_1(u1_struct_0(C))))  &  ( ~ ( (r2_tarski(A, u1_struct_0(C)) & r2_tarski(B, u1_struct_0(C))) )  &  ( ~ ( (r2_tarski(A, u1_struct_0(D)) & r2_tarski(B, u1_struct_0(D))) )  &  ~ ( (r2_tarski(A, k6_subset_1(u1_struct_0(C), u1_struct_0(D))) & r2_tarski(B, k6_subset_1(u1_struct_0(D), u1_struct_0(C)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_latsum_1, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (l1_orders_2(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_latsum_1(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_latsum_1(A, B))) =>  ( ( (v12_waybel_0(k3_xboole_0(u1_struct_0(A), u1_struct_0(B)), B) & m1_subset_1(k3_xboole_0(u1_struct_0(A), u1_struct_0(B)), k1_zfmisc_1(u1_struct_0(B))))  &  (r1_orders_2(k1_latsum_1(A, B), C, D) & r2_tarski(D, u1_struct_0(A))) )  => r2_tarski(C, u1_struct_0(A))) ) ) ) ) ) ) ) ) ).
fof(t24_latsum_1, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (l1_orders_2(B) =>  ( (r1_latsum_1(A, B) &  ( (v13_waybel_0(k3_xboole_0(u1_struct_0(A), u1_struct_0(B)), A) & m1_subset_1(k3_xboole_0(u1_struct_0(A), u1_struct_0(B)), k1_zfmisc_1(u1_struct_0(A))))  &  ( (v12_waybel_0(k3_xboole_0(u1_struct_0(A), u1_struct_0(B)), B) & m1_subset_1(k3_xboole_0(u1_struct_0(A), u1_struct_0(B)), k1_zfmisc_1(u1_struct_0(B))))  &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v4_orders_2(B) & v5_orders_2(B)) ) ) ) ) )  => v5_orders_2(k1_latsum_1(A, B))) ) ) ) ) ).
fof(t25_latsum_1, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (l1_orders_2(B) =>  ( ( (v13_waybel_0(k3_xboole_0(u1_struct_0(A), u1_struct_0(B)), A) & m1_subset_1(k3_xboole_0(u1_struct_0(A), u1_struct_0(B)), k1_zfmisc_1(u1_struct_0(A))))  &  ( (v12_waybel_0(k3_xboole_0(u1_struct_0(A), u1_struct_0(B)), B) & m1_subset_1(k3_xboole_0(u1_struct_0(A), u1_struct_0(B)), k1_zfmisc_1(u1_struct_0(B))))  &  (r1_latsum_1(A, B) &  (v4_orders_2(A) & v4_orders_2(B)) ) ) )  => v4_orders_2(k1_latsum_1(A, B))) ) ) ) ) ).
fof(dt_k1_latsum_1, axiom,  (! [A, B] :  ( (l1_orders_2(A) & l1_orders_2(B))  =>  (v1_orders_2(k1_latsum_1(A, B)) & l1_orders_2(k1_latsum_1(A, B))) ) ) ).
fof(cc1_lattad_1, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  & v7_struct_0(A))  =>  ( ~ (v2_struct_0(A))  & v11_lattices(A)) ) ) ) ).
fof(cc2_lattad_1, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  & v7_struct_0(A))  =>  ( ~ (v2_struct_0(A))  &  (v3_robbins3(A) &  (v1_lattad_1(A) &  (v2_lattad_1(A) & v3_lattad_1(A)) ) ) ) ) ) ) ).
fof(cc3_lattad_1, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  & v7_struct_0(A))  =>  ( ~ (v2_struct_0(A))  & v10_lattices(A)) ) ) ) ).
fof(rc1_lattad_1, axiom,  (? [A] :  (l3_lattices(A) &  ( ~ (v2_struct_0(A))  &  (v7_struct_0(A) &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v10_lattices(A) &  (v1_robbins3(A) &  (v2_robbins3(A) & v3_robbins3(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_lattad_1, axiom,  (? [A] :  (l3_lattices(A) &  ( ~ (v2_struct_0(A))  &  (v11_lattices(A) &  (v3_robbins3(A) &  (v1_lattad_1(A) &  (v2_lattad_1(A) & v3_lattad_1(A)) ) ) ) ) ) ) ).
fof(cc4_lattad_1, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  & v7_struct_0(A))  =>  ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) & v4_lattad_1(A)) ) ) ) ) ) ) ).
fof(rc3_lattad_1, axiom,  (? [A] :  (l3_lattices(A) &  ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) & v4_lattad_1(A)) ) ) ) ) ) ) ) ).
fof(fc1_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  => v1_partfun1(k1_lattad_1(A), u1_struct_0(A))) ) ).
fof(fc2_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  => v1_partfun1(k3_lattad_1(A), u1_struct_0(A))) ) ).
fof(fc3_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (v1_relat_1(k1_lattad_1(A)) & v1_relat_2(k1_lattad_1(A))) ) ) ).
fof(fc4_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (v1_relat_1(k1_lattad_1(A)) & v8_relat_2(k1_lattad_1(A))) ) ) ).
fof(fc5_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (v1_relat_1(k3_lattad_1(A)) & v1_relat_2(k3_lattad_1(A))) ) ) ).
fof(fc6_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (v1_relat_1(k3_lattad_1(A)) & v8_relat_2(k3_lattad_1(A))) ) ) ).
fof(fc7_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (v1_orders_2(k7_lattad_1(A)) &  (v3_orders_2(k7_lattad_1(A)) & v4_orders_2(k7_lattad_1(A))) ) ) ) ).
fof(fc8_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) ) )  =>  (v1_relat_1(k3_lattad_1(A)) & v4_relat_2(k3_lattad_1(A))) ) ) ).
fof(cc5_lattad_1, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) & v4_lattad_1(A)) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & v5_lattad_1(A)) ) ) ) ) ) ) ) ) ) ).
fof(cc6_lattad_1, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & v5_lattad_1(A)) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) & v4_lattad_1(A)) ) ) ) ) ) ) ) ) ) ).
fof(cc7_lattad_1, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) & v4_lattad_1(A)) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v6_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) & v4_lattad_1(A)) ) ) ) ) ) ) ) ) ) ).
fof(cc8_lattad_1, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  &  (v6_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) & v4_lattad_1(A)) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) & v4_lattad_1(A)) ) ) ) ) ) ) ) ) ) ).
fof(cc9_lattad_1, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  &  (v7_struct_0(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) & v4_lattad_1(A)) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & v6_lattad_1(A)) ) ) ) ) ) ) ) ) ) ).
fof(rc4_lattad_1, axiom,  (? [A] :  (l3_lattices(A) &  ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & v6_lattad_1(A)) ) ) ) ) ) ) ) ) ).
fof(rc5_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (? [B] :  (m1_lattad_1(B, A) & v3_lattices(B)) ) ) ) ).
fof(rc6_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  (v7_lattad_1(B, A) & v8_lattad_1(B, A)) ) ) ) ) ) ).
fof(fc9_lattad_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  &  ( ~ (v1_xboole_0(B))  &  (v7_lattad_1(B, A) &  (v8_lattad_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  ( ~ (v2_struct_0(k17_lattad_1(A, B)))  & v3_lattices(k17_lattad_1(A, B))) ) ) ).
fof(rc7_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (? [B] :  (m1_lattad_1(B, A) &  ~ (v2_struct_0(B)) ) ) ) ) ).
fof(t1_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  ( (v1_partfun1(B, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))))  =>  (v1_relat_2(B) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_hidden(k4_tarski(C, C), B)) ) ) ) ) ) ) ).
fof(d1_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (v1_lattad_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_lattices(A, k1_lattices(A, B, C), D)=k1_lattices(A, k2_lattices(A, B, D), k2_lattices(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(d2_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (v2_lattad_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_lattices(A, k1_lattices(A, B, C), C)=C) ) ) ) ) ) ) ).
fof(d3_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (v3_lattad_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_lattices(A, k1_lattices(A, B, C), B)=B) ) ) ) ) ) ) ).
fof(t2_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v11_lattices(A) &  (v3_robbins3(A) &  (v1_lattad_1(A) &  (v2_lattad_1(A) &  (v3_lattad_1(A) & l3_lattices(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_lattices(A, B, C)=B <=> k2_lattices(A, B, C)=C) ) ) ) ) ) ) ).
fof(t3_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v11_lattices(A) &  (v3_robbins3(A) &  (v1_lattad_1(A) &  (v2_lattad_1(A) &  (v3_lattad_1(A) & l3_lattices(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_lattices(A, B, B)=B) ) ) ) ).
fof(t4_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v11_lattices(A) &  (v3_robbins3(A) &  (v1_lattad_1(A) &  (v2_lattad_1(A) &  (v3_lattad_1(A) & l3_lattices(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_lattices(A, B, B)=B) ) ) ) ).
fof(t5_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v11_lattices(A) &  (v3_robbins3(A) &  (v1_lattad_1(A) &  (v2_lattad_1(A) &  (v3_lattad_1(A) & l3_lattices(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_lattices(A, k2_lattices(A, B, C), C)=C) ) ) ) ) ) ).
fof(t6_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v11_lattices(A) &  (v3_robbins3(A) &  (v1_lattad_1(A) &  (v2_lattad_1(A) &  (v3_lattad_1(A) & l3_lattices(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_lattices(A, B, C)=C <=> k2_lattices(A, B, C)=B) ) ) ) ) ) ) ).
fof(t7_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v11_lattices(A) &  (v3_robbins3(A) &  (v1_lattad_1(A) &  (v2_lattad_1(A) &  (v3_lattad_1(A) & l3_lattices(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_lattices(A, B, k1_lattices(A, B, C))=B) ) ) ) ) ) ).
fof(t8_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v11_lattices(A) &  (v3_robbins3(A) &  (v1_lattad_1(A) &  (v2_lattad_1(A) &  (v3_lattad_1(A) & l3_lattices(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_lattices(A, B, k2_lattices(A, C, B))=B) ) ) ) ) ) ).
fof(t9_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v11_lattices(A) &  (v3_robbins3(A) &  (v1_lattad_1(A) &  (v2_lattad_1(A) &  (v3_lattad_1(A) & l3_lattices(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_lattices(A, B, k1_lattices(A, B, C)) & r1_lattices(A, k2_lattices(A, B, C), C)) ) ) ) ) ) ) ).
fof(t10_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v11_lattices(A) &  (v3_robbins3(A) &  (v1_lattad_1(A) &  (v2_lattad_1(A) &  (v3_lattad_1(A) & l3_lattices(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_lattices(A, B, C) <=> k2_lattices(A, B, C)=B) ) ) ) ) ) ) ).
fof(t11_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v11_lattices(A) &  (v3_robbins3(A) &  (v1_lattad_1(A) &  (v2_lattad_1(A) &  (v3_lattad_1(A) & l3_lattices(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_lattices(A, B, k2_lattices(A, C, B))=k2_lattices(A, C, B)) ) ) ) ) ) ).
fof(t12_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v11_lattices(A) &  (v3_robbins3(A) &  (v1_lattad_1(A) &  (v2_lattad_1(A) &  (v3_lattad_1(A) & l3_lattices(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_lattices(A, k2_lattices(A, B, C), B)=B <=> k2_lattices(A, B, k1_lattices(A, C, B))=B) ) ) ) ) ) ) ).
fof(t13_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v11_lattices(A) &  (v3_robbins3(A) &  (v1_lattad_1(A) &  (v2_lattad_1(A) &  (v3_lattad_1(A) & l3_lattices(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_lattices(A, k2_lattices(A, C, B), C)=C <=> k2_lattices(A, C, k1_lattices(A, B, C))=C) ) ) ) ) ) ) ).
fof(t14_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v11_lattices(A) &  (v3_robbins3(A) &  (v1_lattad_1(A) &  (v2_lattad_1(A) &  (v3_lattad_1(A) & l3_lattices(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_lattices(A, k2_lattices(A, B, C), B)=B => k2_lattices(A, B, C)=k2_lattices(A, C, B)) ) ) ) ) ) ) ).
fof(t15_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v11_lattices(A) &  (v3_robbins3(A) &  (v1_lattad_1(A) &  (v2_lattad_1(A) &  (v3_lattad_1(A) & l3_lattices(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k2_lattices(A, B, k1_lattices(A, C, B))=B => k1_lattices(A, B, C)=k1_lattices(A, C, B)) ) ) ) ) ) ) ).
fof(t16_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v11_lattices(A) &  (v3_robbins3(A) &  (v1_lattad_1(A) &  (v2_lattad_1(A) &  (v3_lattad_1(A) & l3_lattices(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (r1_lattices(A, B, D) & r1_lattices(A, C, D)) ) )  => k1_lattices(A, B, C)=k1_lattices(A, C, B)) ) ) ) ) ) ) ).
fof(t17_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v11_lattices(A) &  (v3_robbins3(A) &  (v1_lattad_1(A) &  (v2_lattad_1(A) &  (v3_lattad_1(A) & l3_lattices(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_lattices(A, B, C) => k1_lattices(A, B, C)=k1_lattices(A, C, B)) ) ) ) ) ) ) ).
fof(d4_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (v4_lattad_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_lattices(A, B, k2_lattices(A, C, D))=k2_lattices(A, k1_lattices(A, B, C), k1_lattices(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(d5_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (v5_lattad_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_lattices(A, B, k1_lattices(A, C, B))=B) ) ) ) ) ) ) ).
fof(t18_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_lattices(A, B, B)=B) ) ) ) ).
fof(t19_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_lattices(A, B, B)=B) ) ) ) ).
fof(t20_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_lattices(A, B, k2_lattices(A, B, C))=B) ) ) ) ) ) ).
fof(t21_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_lattices(A, B, k2_lattices(A, C, B))=B) ) ) ) ) ) ).
fof(t22_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k2_lattices(A, B, C)=C => k1_lattices(A, B, C)=B) ) ) ) ) ) ) ).
fof(t23_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_lattices(A, B, C)=C <=> k2_lattices(A, B, C)=B) ) ) ) ) ) ) ).
fof(t24_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_lattices(A, B, B)) ) ) ) ).
fof(t25_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_lattices(A, B, C) & r1_lattices(A, C, D))  => r1_lattices(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t26_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (k9_xtuple_0(k1_lattad_1(A))=u1_struct_0(A) &  (k10_xtuple_0(k1_lattad_1(A))=u1_struct_0(A) & k1_relat_1(k1_lattad_1(A))=u1_struct_0(A)) ) ) ) ).
fof(t27_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_hidden(k4_tarski(B, C), k2_lattad_1(A)) <=> r1_lattices(A, B, C)) ) ) ) ) ) ) ).
fof(t28_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (k9_xtuple_0(k3_lattad_1(A))=u1_struct_0(A) &  (k10_xtuple_0(k3_lattad_1(A))=u1_struct_0(A) & k1_relat_1(k3_lattad_1(A))=u1_struct_0(A)) ) ) ) ).
fof(t29_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_hidden(k4_tarski(B, C), k4_lattad_1(A)) <=> k2_lattices(A, B, C)=C) ) ) ) ) ) ) ).
fof(t30_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_lattices(A, B, k1_lattices(A, B, C))=k1_lattices(A, B, C)) ) ) ) ) ) ).
fof(t31_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_lattices(A, B, k2_lattices(A, C, B))=k2_lattices(A, C, B)) ) ) ) ) ) ).
fof(t32_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_lattices(A, C, k2_lattices(A, B, C))=k2_lattices(A, B, C)) ) ) ) ) ) ).
fof(d8_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_lattad_1(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (r1_lattices(A, B, D) &  (r1_lattices(A, C, D) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_lattices(A, B, E) & r1_lattices(A, C, E))  => r1_lattices(A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_lattad_1(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (r1_lattices(A, D, B) &  (r1_lattices(A, D, C) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_lattices(A, E, B) & r1_lattices(A, E, C))  => r1_lattices(A, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_lattad_1(A, B, C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (D=k5_lattad_1(A, B, C) <=>  (r1_lattices(A, B, D) &  (r1_lattices(A, C, D) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_lattices(A, B, E) & r1_lattices(A, C, E))  => r1_lattices(A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_lattad_1(A, B, C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (D=k6_lattad_1(A, B, C) <=>  (r1_lattices(A, D, B) &  (r1_lattices(A, D, C) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_lattices(A, E, B) & r1_lattices(A, E, C))  => r1_lattices(A, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_lattices(A, k2_lattices(A, B, C), B)=B <=> k2_lattices(A, B, k1_lattices(A, C, B))=B) ) ) ) ) ) ) ).
fof(t34_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_lattices(A, k2_lattices(A, B, C), B)=B <=> k1_lattices(A, k2_lattices(A, C, B), C)=C) ) ) ) ) ) ) ).
fof(t35_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_lattices(A, k2_lattices(A, B, C), B)=B <=> k2_lattices(A, C, k1_lattices(A, B, C))=C) ) ) ) ) ) ) ).
fof(t36_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_lattices(A, k2_lattices(A, B, C), B)=B <=> k2_lattices(A, B, C)=k2_lattices(A, C, B)) ) ) ) ) ) ) ).
fof(t37_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_lattices(A, k2_lattices(A, B, C), B)=B <=> k1_lattices(A, B, C)=k1_lattices(A, C, B)) ) ) ) ) ) ) ).
fof(t38_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_lattices(A, B, C) <=> k2_lattices(A, B, C)=B) ) ) ) ) ) ) ).
fof(t39_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_lattices(A, B, C)=k1_lattices(A, C, B) <=> r1_lattices(A, C, k1_lattices(A, B, C))) ) ) ) ) ) ) ).
fof(t40_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_lattices(A, B, C)=k1_lattices(A, C, B) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (r1_lattices(A, B, D) & r1_lattices(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t41_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_lattices(A, B, C)=k1_lattices(A, C, B) <=>  (r1_lattad_1(A, B, C) & k1_lattices(A, B, C)=k5_lattad_1(A, B, C)) ) ) ) ) ) ) ) ).
fof(t42_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_lattices(A, B, C)=k1_lattices(A, C, B) <=> r1_lattices(A, B, k1_lattices(A, C, B))) ) ) ) ) ) ) ).
fof(t43_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_lattices(A, B, C)=k1_lattices(A, C, B) <=>  (r1_lattad_1(A, B, C) & k1_lattices(A, C, B)=k5_lattad_1(A, B, C)) ) ) ) ) ) ) ) ).
fof(t44_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r1_lattices(A, k2_lattices(A, B, C), B) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r1_lattices(A, D, B) & r1_lattices(A, D, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k2_lattices(A, B, C)=k2_lattices(A, C, B) <=> r1_lattices(A, k2_lattices(A, C, B), C)) ) ) ) ) ) ) ).
fof(t46_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k2_lattices(A, B, C)=k2_lattices(A, C, B) <=>  (r2_lattad_1(A, B, C) & k2_lattices(A, C, B)=k6_lattad_1(A, B, C)) ) ) ) ) ) ) ) ).
fof(t47_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k2_lattices(A, B, C)=k2_lattices(A, C, B) <=> r1_lattices(A, k2_lattices(A, B, C), B)) ) ) ) ) ) ) ).
fof(t48_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k2_lattices(A, B, C)=k2_lattices(A, C, B) <=>  (r2_lattad_1(A, B, C) & k2_lattices(A, B, C)=k6_lattad_1(A, B, C)) ) ) ) ) ) ) ) ).
fof(t49_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_lattices(A, k2_lattices(A, B, C), D)=k2_lattices(A, k2_lattices(A, C, B), D)) ) ) ) ) ) ) ) ).
fof(d12_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  => k7_lattad_1(A)=g1_orders_2(u1_struct_0(A), k2_lattad_1(A))) ) ).
fof(t50_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_lattad_1(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k7_lattad_1(A))) =>  ( (B=D & C=E)  =>  (r1_orders_2(k7_lattad_1(A), D, E) <=> r1_lattices(A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (v4_lattices(A) <=>  (v10_lattices(A) & v11_lattices(A)) ) ) ) ).
fof(t52_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (v4_lattices(A) <=> v7_waybel_0(k7_lattad_1(A))) ) ) ).
fof(t53_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (v4_lattices(A) <=> v5_lattad_1(A)) ) ) ).
fof(t54_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (v4_lattices(A) <=> v6_lattices(A)) ) ) ).
fof(t55_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (v4_lattices(A) <=> v4_relat_2(k4_lattad_1(A))) ) ) ).
fof(t56_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (v4_lattices(A) <=> v2_orders_1(k4_lattad_1(A))) ) ) ).
fof(t57_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_lattices(A, k1_lattices(A, B, C), D)=k2_lattices(A, k1_lattices(A, C, B), D)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_lattices(A, k1_lattices(A, B, C), D)=k1_lattices(A, k2_lattices(A, B, D), k2_lattices(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t58_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_lattices(A, k1_lattices(A, B, C), D)=k1_lattices(A, k2_lattices(A, B, D), k2_lattices(A, C, D))) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_lattices(A, k1_lattices(A, B, C), C)=C) ) ) ) ) ) ) ).
fof(t59_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_lattices(A, k1_lattices(A, B, C), C)=C) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_lattices(A, k1_lattices(A, B, C), D)=k2_lattices(A, k1_lattices(A, C, B), D)) ) ) ) ) ) ) ) ) ).
fof(d13_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (v6_lattad_1(A) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_lattices(A, B, C)=B) ) ) ) ) ) ) ).
fof(d14_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (v6_lattad_1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (B=k8_lattad_1(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_lattices(A, B, C)=B) ) ) ) ) ) ) ) ).
fof(t60_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) &  (v6_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_lattices(A, B, k8_lattad_1(A))=B) ) ) ) ).
fof(t61_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) &  (v6_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_lattices(A, k8_lattad_1(A), B)=B) ) ) ) ).
fof(t62_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) &  (v6_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_lattices(A, B, k8_lattad_1(A))=k8_lattad_1(A)) ) ) ) ).
fof(t63_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) &  (v6_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k2_lattices(A, B, C)=k8_lattad_1(A) <=> k2_lattices(A, C, B)=k8_lattad_1(A)) ) ) ) ) ) ) ).
fof(t64_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) &  (v6_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k2_lattices(A, B, C)=k8_lattad_1(A) => k1_lattices(A, B, C)=k1_lattices(A, C, B)) ) ) ) ) ) ) ).
fof(d15_lattad_1, axiom,  (! [A] :  (m1_subset_1(A, k1_enumset1(1, 2, 3)) =>  (! [B] :  (m1_subset_1(B, k1_enumset1(1, 2, 3)) =>  ( ( (B=1 |  (B=2 &  (A=1 | A=3) ) )  => k9_lattad_1(A, B)=1)  &  ( ( (A=2 & B=2)  => k9_lattad_1(A, B)=2)  &  (B=3 => k9_lattad_1(A, B)=3) ) ) ) ) ) ) ).
fof(d16_lattad_1, axiom,  (! [A] :  (m1_subset_1(A, k1_enumset1(1, 2, 3)) =>  (! [B] :  (m1_subset_1(B, k1_enumset1(1, 2, 3)) =>  ( (A=1 =>  ( ( ~ (B=1)  &  ~ (B=3) )  | k10_lattad_1(A, B)=1) )  &  ( ( (A=2 |  (A=1 & B=2) )  => k10_lattad_1(A, B)=2)  &  (A=3 => k10_lattad_1(A, B)=3) ) ) ) ) ) ) ).
fof(d17_lattad_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_enumset1(1, 2, 3), k1_enumset1(1, 2, 3)), k1_enumset1(1, 2, 3)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(1, 2, 3), k1_enumset1(1, 2, 3)), k1_enumset1(1, 2, 3))))) )  =>  (A=k11_lattad_1 <=>  (! [B] :  (m1_subset_1(B, k1_enumset1(1, 2, 3)) =>  (! [C] :  (m1_subset_1(C, k1_enumset1(1, 2, 3)) => k4_binop_1(k1_enumset1(1, 2, 3), A, B, C)=k10_lattad_1(B, C)) ) ) ) ) ) ) ).
fof(d18_lattad_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_enumset1(1, 2, 3), k1_enumset1(1, 2, 3)), k1_enumset1(1, 2, 3)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(1, 2, 3), k1_enumset1(1, 2, 3)), k1_enumset1(1, 2, 3))))) )  =>  (A=k12_lattad_1 <=>  (! [B] :  (m1_subset_1(B, k1_enumset1(1, 2, 3)) =>  (! [C] :  (m1_subset_1(C, k1_enumset1(1, 2, 3)) => k4_binop_1(k1_enumset1(1, 2, 3), A, B, C)=k9_lattad_1(B, C)) ) ) ) ) ) ) ).
fof(t65_lattad_1, axiom,  (? [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ ( ( ~ (B=1)  &  ( ~ (B=2)  &  ~ (B=3) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ ( (k2_lattices(A, B, C)=1 &  ( ~ (C=1)  &  ~ ( (C=2 &  (B=1 | B=3) ) ) ) ) )  &  ( ( (C=1 |  (C=2 &  (B=1 | B=3) ) )  => k2_lattices(A, B, C)=1)  &  ( (k2_lattices(A, B, C)=2 =>  (B=2 & C=2) )  &  ( ( (B=2 & C=2)  => k2_lattices(A, B, C)=2)  &  ( (k2_lattices(A, B, C)=3 => C=3)  &  (C=3 => k2_lattices(A, B, C)=3) ) ) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (k1_lattices(A, B, C)=1 =>  (B=1 &  (C=1 | C=3) ) )  &  ( (B=1 =>  ( ( ~ (C=1)  &  ~ (C=3) )  | k1_lattices(A, B, C)=1) )  &  ( ~ ( (k1_lattices(A, B, C)=2 &  ( ~ (B=2)  &  ~ ( (B=1 & C=2) ) ) ) )  &  ( ( (B=2 |  (B=1 & C=2) )  => k1_lattices(A, B, C)=2)  &  ( (k1_lattices(A, B, C)=3 => B=3)  &  (B=3 => k1_lattices(A, B, C)=3) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  &  ~ ( ( ~ (v2_struct_0(A))  &  (v11_lattices(A) &  (v3_robbins3(A) &  (v1_lattad_1(A) &  (v2_lattad_1(A) &  (v3_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_lattad_1, axiom,  (! [A] :  (m1_subset_1(A, k1_enumset1(1, 2, 3)) =>  (! [B] :  (m1_subset_1(B, k1_enumset1(1, 2, 3)) =>  ( ( (A=1 & B=1)  => k13_lattad_1(A, B)=1)  &  ( ( (B=2 |  (B=1 &  (A=2 | A=3) ) )  => k13_lattad_1(A, B)=2)  &  (B=3 => k13_lattad_1(A, B)=3) ) ) ) ) ) ) ).
fof(d20_lattad_1, axiom,  (! [A] :  (m1_subset_1(A, k1_enumset1(1, 2, 3)) =>  (! [B] :  (m1_subset_1(B, k1_enumset1(1, 2, 3)) =>  ( ( (A=1 |  (A=2 & B=1) )  => k14_lattad_1(A, B)=1)  &  ( (A=2 =>  ( ( ~ (B=2)  &  ~ (B=3) )  | k14_lattad_1(A, B)=2) )  &  (A=3 => k14_lattad_1(A, B)=3) ) ) ) ) ) ) ).
fof(d21_lattad_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_enumset1(1, 2, 3), k1_enumset1(1, 2, 3)), k1_enumset1(1, 2, 3)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(1, 2, 3), k1_enumset1(1, 2, 3)), k1_enumset1(1, 2, 3))))) )  =>  (A=k15_lattad_1 <=>  (! [B] :  (m1_subset_1(B, k1_enumset1(1, 2, 3)) =>  (! [C] :  (m1_subset_1(C, k1_enumset1(1, 2, 3)) => k4_binop_1(k1_enumset1(1, 2, 3), A, B, C)=k14_lattad_1(B, C)) ) ) ) ) ) ) ).
fof(d22_lattad_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_enumset1(1, 2, 3), k1_enumset1(1, 2, 3)), k1_enumset1(1, 2, 3)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(1, 2, 3), k1_enumset1(1, 2, 3)), k1_enumset1(1, 2, 3))))) )  =>  (A=k16_lattad_1 <=>  (! [B] :  (m1_subset_1(B, k1_enumset1(1, 2, 3)) =>  (! [C] :  (m1_subset_1(C, k1_enumset1(1, 2, 3)) => k4_binop_1(k1_enumset1(1, 2, 3), A, B, C)=k13_lattad_1(B, C)) ) ) ) ) ) ) ).
fof(t66_lattad_1, axiom,  (? [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ ( ( ~ (B=1)  &  ( ~ (B=2)  &  ~ (B=3) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (k2_lattices(A, B, C)=1 =>  (B=1 & C=1) )  &  ( ( (B=1 & C=1)  => k2_lattices(A, B, C)=1)  &  ( ~ ( (k2_lattices(A, B, C)=2 &  ( ~ (C=2)  &  ~ ( (C=1 &  (B=2 | B=3) ) ) ) ) )  &  ( ( (C=2 |  (C=1 &  (B=2 | B=3) ) )  => k2_lattices(A, B, C)=2)  &  ( (k2_lattices(A, B, C)=3 => C=3)  &  (C=3 => k2_lattices(A, B, C)=3) ) ) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ ( (k1_lattices(A, B, C)=1 &  ( ~ (B=1)  &  ~ ( (B=2 & C=1) ) ) ) )  &  ( ( (B=1 |  (B=2 & C=1) )  => k1_lattices(A, B, C)=1)  &  ( (k1_lattices(A, B, C)=2 =>  (B=2 &  (C=2 | C=3) ) )  &  ( (B=2 =>  ( ( ~ (C=2)  &  ~ (C=3) )  | k1_lattices(A, B, C)=2) )  &  ( (k1_lattices(A, B, C)=3 => B=3)  &  (B=3 => k1_lattices(A, B, C)=3) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d23_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (! [B] :  (l3_lattices(B) =>  (m1_lattad_1(B, A) <=>  (r1_tarski(u1_struct_0(B), u1_struct_0(A)) &  (u2_lattices(B)=k1_realset1(u2_lattices(A), u1_struct_0(B)) & u1_lattices(B)=k1_realset1(u1_lattices(A), u1_struct_0(B))) ) ) ) ) ) ) ).
fof(d24_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v7_lattad_1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k2_lattices(A, C, D), B)) ) ) ) ) ) ) ) ) ) ).
fof(d25_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v8_lattad_1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k1_lattices(A, C, D), B)) ) ) ) ) ) ) ) ) ) ).
fof(d26_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (! [B] :  ( (v7_lattad_1(B, A) &  (v8_lattad_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [C] :  ( (v3_lattices(C) & m1_lattad_1(C, A))  =>  (C=k17_lattad_1(A, B) <=> u1_struct_0(C)=B) ) ) ) ) ) ) ).
fof(t67_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m1_lattad_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( (C=E & D=F)  => k1_lattices(A, C, D)=k1_lattices(B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m1_lattad_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( (C=E & D=F)  => k2_lattices(A, C, D)=k2_lattices(B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t69_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v7_lattad_1(B, A) &  (v8_lattad_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ( (v7_lattices(A) => v7_lattices(k17_lattad_1(A, B)))  &  ( (v8_lattices(A) => v8_lattices(k17_lattad_1(A, B)))  &  ( (v6_lattices(A) => v6_lattices(k17_lattad_1(A, B)))  &  ( (v5_lattices(A) => v5_lattices(k17_lattad_1(A, B)))  &  ( (v9_lattices(A) => v9_lattices(k17_lattad_1(A, B)))  &  ( (v4_lattices(A) => v4_lattices(k17_lattad_1(A, B)))  &  ( (v3_lattad_1(A) => v3_lattad_1(k17_lattad_1(A, B)))  &  ( (v11_lattices(A) => v11_lattices(k17_lattad_1(A, B)))  &  (v4_lattad_1(A) => v4_lattad_1(k17_lattad_1(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  => v1_relat_1(k1_lattad_1(A))) ) ).
fof(dt_k2_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  => m1_subset_1(k2_lattad_1(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ).
fof(redefinition_k2_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  => k2_lattad_1(A)=k1_lattad_1(A)) ) ).
fof(dt_k3_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  => v1_relat_1(k3_lattad_1(A))) ) ).
fof(dt_k4_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  => m1_subset_1(k4_lattad_1(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ).
fof(redefinition_k4_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  => k4_lattad_1(A)=k3_lattad_1(A)) ) ).
fof(dt_k5_lattad_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k5_lattad_1(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k6_lattad_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k6_lattad_1(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k7_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  =>  (v1_orders_2(k7_lattad_1(A)) & l1_orders_2(k7_lattad_1(A))) ) ) ).
fof(dt_k8_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) )  => m1_subset_1(k8_lattad_1(A), u1_struct_0(A))) ) ).
fof(dt_k9_lattad_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_enumset1(1, 2, 3)) & m1_subset_1(B, k1_enumset1(1, 2, 3)))  => m1_subset_1(k9_lattad_1(A, B), k1_enumset1(1, 2, 3))) ) ).
fof(dt_k10_lattad_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_enumset1(1, 2, 3)) & m1_subset_1(B, k1_enumset1(1, 2, 3)))  => m1_subset_1(k10_lattad_1(A, B), k1_enumset1(1, 2, 3))) ) ).
fof(dt_k11_lattad_1, axiom,  (v1_funct_1(k11_lattad_1) &  (v1_funct_2(k11_lattad_1, k2_zfmisc_1(k1_enumset1(1, 2, 3), k1_enumset1(1, 2, 3)), k1_enumset1(1, 2, 3)) & m1_subset_1(k11_lattad_1, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(1, 2, 3), k1_enumset1(1, 2, 3)), k1_enumset1(1, 2, 3))))) ) ).
fof(dt_k12_lattad_1, axiom,  (v1_funct_1(k12_lattad_1) &  (v1_funct_2(k12_lattad_1, k2_zfmisc_1(k1_enumset1(1, 2, 3), k1_enumset1(1, 2, 3)), k1_enumset1(1, 2, 3)) & m1_subset_1(k12_lattad_1, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(1, 2, 3), k1_enumset1(1, 2, 3)), k1_enumset1(1, 2, 3))))) ) ).
fof(dt_k13_lattad_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_enumset1(1, 2, 3)) & m1_subset_1(B, k1_enumset1(1, 2, 3)))  => m1_subset_1(k13_lattad_1(A, B), k1_enumset1(1, 2, 3))) ) ).
fof(dt_k14_lattad_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_enumset1(1, 2, 3)) & m1_subset_1(B, k1_enumset1(1, 2, 3)))  => m1_subset_1(k14_lattad_1(A, B), k1_enumset1(1, 2, 3))) ) ).
fof(dt_k15_lattad_1, axiom,  (v1_funct_1(k15_lattad_1) &  (v1_funct_2(k15_lattad_1, k2_zfmisc_1(k1_enumset1(1, 2, 3), k1_enumset1(1, 2, 3)), k1_enumset1(1, 2, 3)) & m1_subset_1(k15_lattad_1, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(1, 2, 3), k1_enumset1(1, 2, 3)), k1_enumset1(1, 2, 3))))) ) ).
fof(dt_k16_lattad_1, axiom,  (v1_funct_1(k16_lattad_1) &  (v1_funct_2(k16_lattad_1, k2_zfmisc_1(k1_enumset1(1, 2, 3), k1_enumset1(1, 2, 3)), k1_enumset1(1, 2, 3)) & m1_subset_1(k16_lattad_1, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(1, 2, 3), k1_enumset1(1, 2, 3)), k1_enumset1(1, 2, 3))))) ) ).
fof(dt_m1_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (! [B] :  (m1_lattad_1(B, A) => l3_lattices(B)) ) ) ) ).
fof(existence_m1_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (? [B] : m1_lattad_1(B, A)) ) ) ).
fof(dt_k17_lattad_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  &  (v7_lattad_1(B, A) &  (v8_lattad_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v3_lattices(k17_lattad_1(A, B)) & m1_lattad_1(k17_lattad_1(A, B), A)) ) ) ).
fof(d6_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  => k1_lattad_1(A)=a_1_0_lattad_1(A)) ) ).
fof(d7_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  => k3_lattad_1(A)=a_1_1_lattad_1(A)) ) ).
fof(t70_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) &  (v6_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (C=a_2_0_lattad_1(A, B) =>  (C=a_2_1_lattad_1(A, B) &  (v7_lattad_1(C, A) &  (v8_lattad_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ) ) ) ).
fof(t71_lattad_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v11_lattices(A) &  (v3_lattad_1(A) &  (v4_lattad_1(A) &  (v6_lattad_1(A) & l3_lattices(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v7_lattad_1(C, A) &  (v8_lattad_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k17_lattad_1(A, C))) =>  ( (D=B & C=a_2_0_lattad_1(A, B))  =>  (v10_lattices(k17_lattad_1(A, C)) &  (v11_lattices(k17_lattad_1(A, C)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(k17_lattad_1(A, C))) =>  (k1_lattices(k17_lattad_1(A, C), D, E)=D &  (k1_lattices(k17_lattad_1(A, C), E, D)=D & r1_lattices(k17_lattad_1(A, C), E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_lattad_1, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  & l3_lattices(B))  =>  (r2_hidden(A, a_1_0_lattad_1(B)) <=>  (? [C, D] :  ( (m1_subset_1(C, u1_struct_0(B)) & m1_subset_1(D, u1_struct_0(B)))  &  (A=k4_tarski(C, D) & r1_lattices(B, C, D)) ) ) ) ) ) ).
fof(fraenkel_a_1_1_lattad_1, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  & l3_lattices(B))  =>  (r2_hidden(A, a_1_1_lattad_1(B)) <=>  (? [C, D] :  ( (m1_subset_1(C, u1_struct_0(B)) & m1_subset_1(D, u1_struct_0(B)))  &  (A=k4_tarski(C, D) & k2_lattices(B, C, D)=D) ) ) ) ) ) ).
fof(fraenkel_a_2_0_lattad_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v7_lattices(B) &  (v8_lattices(B) &  (v9_lattices(B) &  (v11_lattices(B) &  (v3_lattad_1(B) &  (v4_lattad_1(B) &  (v6_lattad_1(B) & l3_lattices(B)) ) ) ) ) ) ) )  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_2_0_lattad_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) & A=k2_lattices(B, D, C)) ) ) ) ) ).
fof(fraenkel_a_2_1_lattad_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v7_lattices(B) &  (v8_lattices(B) &  (v9_lattices(B) &  (v11_lattices(B) &  (v3_lattad_1(B) &  (v4_lattad_1(B) &  (v6_lattad_1(B) & l3_lattices(B)) ) ) ) ) ) ) )  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_2_1_lattad_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & r1_lattices(B, D, C)) ) ) ) ) ) ).
fof(fc1_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  ( ~ (v2_struct_0(k1_lattice2(A)))  & v3_lattices(k1_lattice2(A))) ) ) ).
fof(fc2_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (v1_funct_1(u2_lattices(A)) &  (v1_funct_2(u2_lattices(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & v3_binop_1(u2_lattices(A), u1_struct_0(A))) ) ) ) ).
fof(fc3_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) & l2_lattices(A)) )  =>  (v1_funct_1(u2_lattices(A)) &  (v1_funct_2(u2_lattices(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & v1_binop_1(u2_lattices(A), u1_struct_0(A))) ) ) ) ).
fof(fc4_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_lattices(A) & l2_lattices(A)) )  =>  (v1_funct_1(u2_lattices(A)) &  (v1_funct_2(u2_lattices(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & v2_binop_1(u2_lattices(A), u1_struct_0(A))) ) ) ) ).
fof(fc5_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (v1_funct_1(u1_lattices(A)) &  (v1_funct_2(u1_lattices(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & v3_binop_1(u1_lattices(A), u1_struct_0(A))) ) ) ) ).
fof(fc6_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_lattices(A) & l1_lattices(A)) )  =>  (v1_funct_1(u1_lattices(A)) &  (v1_funct_2(u1_lattices(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & v1_binop_1(u1_lattices(A), u1_struct_0(A))) ) ) ) ).
fof(fc7_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) & l1_lattices(A)) )  =>  (v1_funct_1(u1_lattices(A)) &  (v1_funct_2(u1_lattices(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & v2_binop_1(u1_lattices(A), u1_struct_0(A))) ) ) ) ).
fof(fc8_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (v3_lattices(k1_lattice2(A)) & v10_lattices(k1_lattice2(A))) ) ) ).
fof(fc9_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) )  =>  (v1_funct_1(u2_lattices(A)) &  (v1_funct_2(u2_lattices(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & v1_setwiseo(u2_lattices(A), u1_struct_0(A))) ) ) ) ).
fof(fc10_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v14_lattices(A) & l3_lattices(A)) ) )  =>  (v1_funct_1(u1_lattices(A)) &  (v1_funct_2(u1_lattices(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & v1_setwiseo(u1_lattices(A), u1_struct_0(A))) ) ) ) ).
fof(rc1_lattice2, axiom,  (? [A] :  (l3_lattices(A) &  ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v10_lattices(A) & v1_lattice2(A)) ) ) ) ) ) ) ) ) ) ).
fof(cc1_lattice2, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & v1_lattice2(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & v3_filter_0(A)) ) ) ) ) ) ).
fof(cc2_lattice2, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & v3_filter_0(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & v1_lattice2(A)) ) ) ) ) ).
fof(rc2_lattice2, axiom,  (? [A] :  (l3_lattices(A) &  ( ~ (v2_struct_0(A))  &  (v3_lattices(A) &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v10_lattices(A) & v1_lattice2(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(cc3_lattice2, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) & v10_lattices(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & v13_lattices(A)) ) ) ) ) ).
fof(cc4_lattice2, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) & v10_lattices(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & v14_lattices(A)) ) ) ) ) ).
fof(cc5_lattice2, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) & v10_lattices(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & v15_lattices(A)) ) ) ) ) ).
fof(cc6_lattice2, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v10_lattices(A) & v11_lattices(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & v1_lattice2(A)) ) ) ) ) ).
fof(t1_lattice2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  => k9_xtuple_0(k2_partfun1(A, B, D, C))=C) ) ) ) ) ) ) ).
fof(t2_lattice2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (k2_partfun1(A, B, D, C)=k2_partfun1(A, B, E, C) <=>  (! [F] :  (m1_subset_1(F, A) =>  (r2_tarski(F, C) => k1_funct_1(E, F)=k1_funct_1(D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_lattice2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  (v1_funct_1(k9_funct_4(A, B, C, k2_partfun1(A, B, D, E))) &  (v1_funct_2(k9_funct_4(A, B, C, k2_partfun1(A, B, D, E)), A, B) & m1_subset_1(k9_funct_4(A, B, C, k2_partfun1(A, B, D, E)), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ) ) ) ) ) ).
fof(t4_lattice2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  => k9_funct_4(A, B, k2_partfun1(A, B, E, C), D)=D) ) ) ) ) ) ) ) ) ).
fof(t5_lattice2, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_tarski(B, A) => k1_funct_4(A, B)=A) ) ) ) ) ).
fof(t6_lattice2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  => k9_funct_4(A, B, D, k2_partfun1(A, B, D, C))=D) ) ) ) ) ) ) ).
fof(t7_lattice2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ( (! [F] :  (m1_subset_1(F, A) =>  (r2_tarski(F, C) => k1_funct_1(E, F)=k1_funct_1(D, F)) ) )  => k9_funct_4(A, B, D, k2_partfun1(A, B, E, C))=D) ) ) ) ) ) ) ) ) ) ).
fof(t8_lattice2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  (m1_subset_1(E, k5_finsub_1(A)) => k9_funct_4(A, B, k2_partfun1(A, B, D, E), C)=C) ) ) ) ) ) ) ) ) ).
fof(t9_lattice2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  (m1_subset_1(D, k5_finsub_1(A)) => k9_xtuple_0(k2_partfun1(A, B, C, D))=D) ) ) ) ) ) ) ).
fof(t10_lattice2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  (m1_subset_1(E, k5_finsub_1(A)) =>  ( (! [F] :  (m1_subset_1(F, A) =>  (r2_tarski(F, E) => k1_funct_1(D, F)=k1_funct_1(C, F)) ) )  => k9_funct_4(A, B, C, k2_partfun1(A, B, D, E))=C) ) ) ) ) ) ) ) ) ) ).
fof(d1_lattice2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (r1_lattice2(A, B, C) <=>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) => k4_binop_1(A, B, D, k4_binop_1(A, C, D, E))=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  ( (v1_binop_1(u2_lattices(A), u1_struct_0(A)) &  (v2_binop_1(u2_lattices(A), u1_struct_0(A)) &  (v1_binop_1(u1_lattices(A), u1_struct_0(A)) &  (v2_binop_1(u1_lattices(A), u1_struct_0(A)) &  (r1_lattice2(u1_struct_0(A), u2_lattices(A), u1_lattices(A)) & r1_lattice2(u1_struct_0(A), u1_lattices(A), u2_lattices(A))) ) ) ) )  => v10_lattices(A)) ) ) ).
fof(d2_lattice2, axiom,  (! [A] :  (l3_lattices(A) => k1_lattice2(A)=g3_lattices(u1_struct_0(A), u1_lattices(A), u2_lattices(A))) ) ).
fof(t12_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (u1_struct_0(A)=u1_struct_0(k1_lattice2(A)) &  (r1_funct_2(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A), k2_zfmisc_1(u1_struct_0(k1_lattice2(A)), u1_struct_0(k1_lattice2(A))), u1_struct_0(k1_lattice2(A)), u2_lattices(A), u1_lattices(k1_lattice2(A))) & r1_funct_2(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A), k2_zfmisc_1(u1_struct_0(k1_lattice2(A)), u1_struct_0(k1_lattice2(A))), u1_struct_0(k1_lattice2(A)), u1_lattices(A), u2_lattices(k1_lattice2(A)))) ) ) ) ).
fof(t13_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_lattices(A) & l3_lattices(A)) )  => k1_lattice2(k1_lattice2(A))=A) ) ).
fof(t14_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_lattices(A, B, C)=C) )  => B=k5_lattices(A)) ) ) ) ) ).
fof(t15_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_binop_1(u1_struct_0(A), u2_lattices(A), B, C)=C) )  => B=k5_lattices(A)) ) ) ) ) ).
fof(t16_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_lattices(A, B, C)=C) )  => B=k6_lattices(A)) ) ) ) ) ).
fof(t17_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_binop_1(u1_struct_0(A), u1_lattices(A), B, C)=C) )  => B=k6_lattices(A)) ) ) ) ) ).
fof(t18_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (v1_setwiseo(u2_lattices(A), u1_struct_0(A)) => k5_lattices(A)=k3_binop_1(u1_struct_0(A), u2_lattices(A))) ) ) ).
fof(t19_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (v1_setwiseo(u1_lattices(A), u1_struct_0(A)) => k6_lattices(A)=k3_binop_1(u1_struct_0(A), u1_lattices(A))) ) ) ).
fof(t20_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  => r6_binop_1(u1_struct_0(A), u2_lattices(A), u2_lattices(A))) ) ).
fof(t21_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  => r6_binop_1(u1_struct_0(A), u2_lattices(A), u1_lattices(A))) ) ) ).
fof(t22_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (r6_binop_1(u1_struct_0(A), u2_lattices(A), u1_lattices(A)) => v11_lattices(A)) ) ) ).
fof(t23_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  => r6_binop_1(u1_struct_0(A), u1_lattices(A), u2_lattices(A))) ) ) ).
fof(t24_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (r6_binop_1(u1_struct_0(A), u1_lattices(A), u2_lattices(A)) => v11_lattices(A)) ) ) ).
fof(t25_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  => r6_binop_1(u1_struct_0(A), u1_lattices(A), u1_lattices(A))) ) ).
fof(t26_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  => r1_lattice2(u1_struct_0(A), u2_lattices(A), u1_lattices(A))) ) ).
fof(t27_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  => r1_lattice2(u1_struct_0(A), u1_lattices(A), u2_lattices(A))) ) ).
fof(d3_lattice2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  => k2_lattice2(A, B, C, D)=k7_setwiseo(A, u1_struct_0(B), u2_lattices(B), C, D)) ) ) ) ) ) ) ) ).
fof(d4_lattice2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  => k3_lattice2(A, B, C, D)=k7_setwiseo(A, u1_struct_0(B), u1_lattices(B), C, D)) ) ) ) ) ) ) ) ).
fof(t28_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (m1_subset_1(D, k5_finsub_1(B)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (r2_tarski(C, D) => r3_lattices(A, k3_funct_2(B, u1_struct_0(A), E, C), k2_lattice2(B, A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k5_finsub_1(C)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, u1_struct_0(A))))) )  =>  ( (? [F] :  (m1_subset_1(F, C) &  (r2_tarski(F, D) & r3_lattices(A, B, k3_funct_2(C, u1_struct_0(A), E, F))) ) )  => r3_lattices(A, B, k2_lattice2(C, A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k5_finsub_1(C)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, u1_struct_0(A))))) )  =>  ( (! [F] :  (m1_subset_1(F, C) =>  (r2_tarski(F, D) => k3_funct_2(C, u1_struct_0(A), E, F)=B) ) )  =>  (D=k1_xboole_0 | k2_lattice2(C, A, D, E)=B) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k5_finsub_1(C)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, u1_struct_0(A))))) )  =>  (r3_lattices(A, k2_lattice2(C, A, D, E), B) =>  (! [F] :  (m1_subset_1(F, C) =>  (r2_tarski(F, D) => r3_lattices(A, k3_funct_2(C, u1_struct_0(A), E, F), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k5_finsub_1(C)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, u1_struct_0(A))))) )  =>  ( (! [F] :  (m1_subset_1(F, C) =>  (r2_tarski(F, D) => r3_lattices(A, k3_funct_2(C, u1_struct_0(A), E, F), B)) ) )  =>  (D=k1_xboole_0 | r3_lattices(A, k2_lattice2(C, A, D, E), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(B)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  ( (! [F] :  (m1_subset_1(F, B) =>  (r2_tarski(F, C) => r3_lattices(A, k3_funct_2(B, u1_struct_0(A), D, F), k3_funct_2(B, u1_struct_0(A), E, F))) ) )  =>  (C=k1_xboole_0 | r3_lattices(A, k2_lattice2(B, A, C, D), k2_lattice2(B, A, C, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(B)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (k2_partfun1(B, u1_struct_0(A), D, C)=k2_partfun1(B, u1_struct_0(A), E, C) =>  (C=k1_xboole_0 | k2_lattice2(B, A, C, D)=k2_lattice2(B, A, C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k5_finsub_1(C)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, u1_struct_0(A))))) )  =>  ( ~ (D=k1_xboole_0)  => k3_lattices(A, B, k2_lattice2(C, A, D, E))=k2_lattice2(C, A, D, k10_funcop_1(u1_struct_0(A), C, u2_lattices(A), B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_lattice2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(k1_lattice2(B))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k1_lattice2(B)))))) )  =>  (r1_funct_2(A, u1_struct_0(B), A, u1_struct_0(k1_lattice2(B)), D, E) =>  (k2_lattice2(A, B, C, D)=k3_lattice2(A, k1_lattice2(B), C, E) & k3_lattice2(A, B, C, D)=k2_lattice2(A, k1_lattice2(B), C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_lattice2(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k1_lattice2(A))) =>  ( (B=D & C=E)  =>  (k4_lattices(A, B, C)=k3_lattices(k1_lattice2(A), D, E) & k3_lattices(A, B, C)=k4_lattices(k1_lattice2(A), D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_lattices(A, B, C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_lattice2(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k1_lattice2(A))) =>  ( (B=D & C=E)  => r3_lattices(k1_lattice2(A), E, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_lattice2(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k1_lattice2(A))) =>  ( (r3_lattices(k1_lattice2(A), D, E) &  (B=D & C=E) )  => r3_lattices(A, C, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (m1_subset_1(D, k5_finsub_1(B)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (r2_tarski(C, D) => r3_lattices(A, k3_lattice2(B, A, D, E), k3_funct_2(B, u1_struct_0(A), E, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k5_finsub_1(C)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, u1_struct_0(A))))) )  =>  ( (? [F] :  (m1_subset_1(F, C) &  (r2_tarski(F, D) & r3_lattices(A, k3_funct_2(C, u1_struct_0(A), E, F), B)) ) )  => r3_lattices(A, k3_lattice2(C, A, D, E), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k5_finsub_1(C)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, u1_struct_0(A))))) )  =>  ( (! [F] :  (m1_subset_1(F, C) =>  (r2_tarski(F, D) => k3_funct_2(C, u1_struct_0(A), E, F)=B) ) )  =>  (D=k1_xboole_0 | k3_lattice2(C, A, D, E)=B) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k5_finsub_1(C)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, u1_struct_0(A))))) )  =>  ( ~ (D=k1_xboole_0)  => k4_lattices(A, B, k3_lattice2(C, A, D, E))=k3_lattice2(C, A, D, k10_funcop_1(u1_struct_0(A), C, u1_lattices(A), B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k5_finsub_1(C)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, u1_struct_0(A))))) )  =>  (r3_lattices(A, B, k3_lattice2(C, A, D, E)) =>  (! [F] :  (m1_subset_1(F, C) =>  (r2_tarski(F, D) => r3_lattices(A, B, k3_funct_2(C, u1_struct_0(A), E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(B)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (k2_partfun1(B, u1_struct_0(A), D, C)=k2_partfun1(B, u1_struct_0(A), E, C) =>  (C=k1_xboole_0 | k3_lattice2(B, A, C, D)=k3_lattice2(B, A, C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k5_finsub_1(C)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, u1_struct_0(A))))) )  =>  ( (! [F] :  (m1_subset_1(F, C) =>  (r2_tarski(F, D) => r3_lattices(A, B, k3_funct_2(C, u1_struct_0(A), E, F))) ) )  =>  (D=k1_xboole_0 | r3_lattices(A, B, k3_lattice2(C, A, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(B)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) )  =>  ( (! [F] :  (m1_subset_1(F, B) =>  (r2_tarski(F, C) => r3_lattices(A, k3_funct_2(B, u1_struct_0(A), D, F), k3_funct_2(B, u1_struct_0(A), E, F))) ) )  =>  (C=k1_xboole_0 | r3_lattices(A, k3_lattice2(B, A, C, D), k3_lattice2(B, A, C, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (v13_lattices(A) <=> v14_lattices(k1_lattice2(A))) ) ) ).
fof(t49_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (v14_lattices(A) <=> v13_lattices(k1_lattice2(A))) ) ) ).
fof(t50_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  <=>  ( ~ (v2_struct_0(k1_lattice2(A)))  &  (v10_lattices(k1_lattice2(A)) &  (v11_lattices(k1_lattice2(A)) & l3_lattices(k1_lattice2(A))) ) ) ) ) ) ).
fof(t51_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) )  => r3_binop_1(u1_struct_0(A), k5_lattices(A), u2_lattices(A))) ) ).
fof(t52_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) )  => k5_lattices(A)=k3_binop_1(u1_struct_0(A), u2_lattices(A))) ) ).
fof(t53_lattice2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k5_finsub_1(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v10_lattices(C) &  (v13_lattices(C) & l3_lattices(C)) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(C))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(C))))) )  =>  (k2_partfun1(A, u1_struct_0(C), D, B)=k2_partfun1(A, u1_struct_0(C), E, B) => k2_lattice2(A, C, B, D)=k2_lattice2(A, C, B, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_lattice2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k5_finsub_1(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v10_lattices(C) &  (v13_lattices(C) & l3_lattices(C)) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(C))))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  ( (! [F] :  (m1_subset_1(F, A) =>  (r2_tarski(F, B) => r3_lattices(C, k3_funct_2(A, u1_struct_0(C), D, F), E)) ) )  => r3_lattices(C, k2_lattice2(A, C, B, D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_lattice2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k5_finsub_1(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v10_lattices(C) &  (v13_lattices(C) & l3_lattices(C)) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(C))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(C))))) )  =>  ( (! [F] :  (m1_subset_1(F, A) =>  (r2_tarski(F, B) => r3_lattices(C, k3_funct_2(A, u1_struct_0(C), D, F), k3_funct_2(A, u1_struct_0(C), E, F))) ) )  => r3_lattices(C, k2_lattice2(A, C, B, D), k2_lattice2(A, C, B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v14_lattices(A) & l3_lattices(A)) ) )  => r3_binop_1(u1_struct_0(A), k6_lattices(A), u1_lattices(A))) ) ).
fof(t57_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v14_lattices(A) & l3_lattices(A)) ) )  => k6_lattices(A)=k3_binop_1(u1_struct_0(A), u1_lattices(A))) ) ).
fof(t58_lattice2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k5_finsub_1(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v10_lattices(C) &  (v14_lattices(C) & l3_lattices(C)) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(C))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(C))))) )  =>  (k2_partfun1(A, u1_struct_0(C), D, B)=k2_partfun1(A, u1_struct_0(C), E, B) => k3_lattice2(A, C, B, D)=k3_lattice2(A, C, B, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_lattice2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k5_finsub_1(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v10_lattices(C) &  (v14_lattices(C) & l3_lattices(C)) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(C))))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  ( (! [F] :  (m1_subset_1(F, A) =>  (r2_tarski(F, B) => r3_lattices(C, E, k3_funct_2(A, u1_struct_0(C), D, F))) ) )  => r3_lattices(C, E, k3_lattice2(A, C, B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_lattice2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k5_finsub_1(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v10_lattices(C) &  (v14_lattices(C) & l3_lattices(C)) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(C))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(C))))) )  =>  ( (! [F] :  (m1_subset_1(F, A) =>  (r2_tarski(F, B) => r3_lattices(C, k3_funct_2(A, u1_struct_0(C), D, F), k3_funct_2(A, u1_struct_0(C), E, F))) ) )  => r3_lattices(C, k3_lattice2(A, C, B, D), k3_lattice2(A, C, B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) )  => k5_lattices(A)=k6_lattices(k1_lattice2(A))) ) ).
fof(t62_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v14_lattices(A) & l3_lattices(A)) ) )  => k6_lattices(A)=k5_lattices(k1_lattice2(A))) ) ).
fof(t63_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) ) )  => r6_binop_1(u1_struct_0(A), u1_lattices(A), u2_lattices(A))) ) ).
fof(t64_lattice2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k5_finsub_1(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v10_lattices(C) &  (v11_lattices(C) &  (v13_lattices(C) & l3_lattices(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(C))))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) => k4_binop_1(u1_struct_0(C), u1_lattices(C), E, k2_lattice2(A, C, B, D))=k2_lattice2(A, C, B, k10_funcop_1(u1_struct_0(C), A, u1_lattices(C), E, D))) ) ) ) ) ) ) ) ) ) ).
fof(t65_lattice2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k5_finsub_1(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v10_lattices(C) &  (v11_lattices(C) &  (v13_lattices(C) & l3_lattices(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(C))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(C))))) )  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  ( (! [G] :  (m1_subset_1(G, A) =>  (r2_tarski(G, B) => k3_funct_2(A, u1_struct_0(C), E, G)=k4_lattices(C, F, k3_funct_2(A, u1_struct_0(C), D, G))) ) )  => k4_lattices(C, F, k2_lattice2(A, C, B, D))=k2_lattice2(A, C, B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_lattice2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k5_finsub_1(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v10_lattices(C) &  (v11_lattices(C) &  (v13_lattices(C) & l3_lattices(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(C))))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) => k4_lattices(C, E, k2_lattice2(A, C, B, D))=k2_lattice2(A, C, B, k10_funcop_1(u1_struct_0(C), A, u1_lattices(C), E, D))) ) ) ) ) ) ) ) ) ) ).
fof(d5_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (v1_lattice2(A) <=>  (v3_filter_0(A) & v13_lattices(A)) ) ) ) ).
fof(t67_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v1_lattice2(A) & l3_lattices(A)) ) )  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (r3_lattices(A, k4_lattices(A, B, D), C) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r3_lattices(A, k4_lattices(A, B, E), C) => r3_lattices(A, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_lattice2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (v8_struct_0(A) <=> v8_struct_0(k1_lattice2(A))) ) ) ).
fof(dt_k1_lattice2, axiom,  (! [A] :  (l3_lattices(A) =>  (v3_lattices(k1_lattice2(A)) & l3_lattices(k1_lattice2(A))) ) ) ).
fof(dt_k2_lattice2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  &  (m1_subset_1(C, k5_finsub_1(A)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) ) ) )  => m1_subset_1(k2_lattice2(A, B, C, D), u1_struct_0(B))) ) ).
fof(dt_k3_lattice2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  &  (m1_subset_1(C, k5_finsub_1(A)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) ) ) )  => m1_subset_1(k3_lattice2(A, B, C, D), u1_struct_0(B))) ) ).
fof(fc1_lattice3, axiom,  (! [A] :  ( ~ (v2_struct_0(k1_lattice3(A)))  & v3_lattices(k1_lattice3(A))) ) ).
fof(ie1_lattice3, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(B, u1_struct_0(k1_lattice3(A))) & m1_subset_1(C, u1_struct_0(k1_lattice3(A))))  =>  ( (B=D & C=E)  => k1_lattices(k1_lattice3(A), B, C)=k2_xboole_0(D, E)) ) ) ).
fof(ie2_lattice3, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(B, u1_struct_0(k1_lattice3(A))) & m1_subset_1(C, u1_struct_0(k1_lattice3(A))))  =>  ( (B=D & C=E)  => k2_lattices(k1_lattice3(A), B, C)=k3_xboole_0(D, E)) ) ) ).
fof(fc2_lattice3, axiom,  (! [A] :  (v3_lattices(k1_lattice3(A)) & v10_lattices(k1_lattice3(A))) ) ).
fof(fc3_lattice3, axiom,  (! [A] :  (v3_lattices(k1_lattice3(A)) & v17_lattices(k1_lattice3(A))) ) ).
fof(fc4_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  ( ~ (v2_struct_0(k3_lattice3(A)))  &  (v1_orders_2(k3_lattice3(A)) &  (v3_orders_2(k3_lattice3(A)) &  (v4_orders_2(k3_lattice3(A)) & v5_orders_2(k3_lattice3(A))) ) ) ) ) ) ).
fof(fc5_lattice3, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) )  =>  (v1_orders_2(k7_lattice3(A)) &  (v3_orders_2(k7_lattice3(A)) &  (v4_orders_2(k7_lattice3(A)) & v5_orders_2(k7_lattice3(A))) ) ) ) ) ).
fof(fc6_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  ( ~ (v2_struct_0(k7_lattice3(A)))  & v1_orders_2(k7_lattice3(A))) ) ) ).
fof(cc1_lattice3, axiom,  (! [A] :  (l1_orders_2(A) =>  (v1_lattice3(A) =>  ~ (v2_struct_0(A)) ) ) ) ).
fof(cc2_lattice3, axiom,  (! [A] :  (l1_orders_2(A) =>  (v2_lattice3(A) =>  ~ (v2_struct_0(A)) ) ) ) ).
fof(rc1_lattice3, axiom,  (? [A] :  (l1_orders_2(A) &  ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v2_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & v3_lattice3(A)) ) ) ) ) ) ) ) ).
fof(rc2_lattice3, axiom,  (? [A] :  (l1_orders_2(A) &  ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v2_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & v3_lattice3(A)) ) ) ) ) ) ) ) ) ) ).
fof(fc7_lattice3, axiom,  (! [A] :  (v3_lattices(k1_lattice3(A)) & v4_lattice3(k1_lattice3(A))) ) ).
fof(rc3_lattice3, axiom,  (? [A] :  (l3_lattices(A) &  ( ~ (v2_struct_0(A))  &  (v3_lattices(A) &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v10_lattices(A) &  (v4_lattice3(A) &  (v5_lattice3(A) & v6_lattice3(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc8_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v3_lattice3(A) & l1_orders_2(A)) ) ) ) )  =>  ( ~ (v2_struct_0(k14_lattice3(A)))  &  (v3_lattices(k14_lattice3(A)) &  (v10_lattices(k14_lattice3(A)) & v4_lattice3(k14_lattice3(A))) ) ) ) ) ).
fof(d1_lattice3, axiom,  (! [A] :  (! [B] :  ( (v3_lattices(B) & l3_lattices(B))  =>  (B=k1_lattice3(A) <=>  (u1_struct_0(B)=k9_setfam_1(A) &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (k1_binop_1(u2_lattices(B), C, D)=k4_subset_1(A, C, D) & k1_binop_1(u1_lattices(B), C, D)=k9_subset_1(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t1_lattice3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_lattice3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_lattice3(A))) =>  (k1_lattices(k1_lattice3(A), B, C)=k2_xboole_0(B, C) & k2_lattices(k1_lattice3(A), B, C)=k3_xboole_0(B, C)) ) ) ) ) ) ).
fof(t2_lattice3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_lattice3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_lattice3(A))) =>  (r1_lattices(k1_lattice3(A), B, C) <=> r1_tarski(B, C)) ) ) ) ) ) ).
fof(t3_lattice3, axiom,  (! [A] :  (v13_lattices(k1_lattice3(A)) & k5_lattices(k1_lattice3(A))=k1_xboole_0) ) ).
fof(t4_lattice3, axiom,  (! [A] :  (v14_lattices(k1_lattice3(A)) & k6_lattices(k1_lattice3(A))=A) ) ).
fof(t5_lattice3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_lattice3(A))) => k7_lattices(k1_lattice3(A), B)=k6_subset_1(A, B)) ) ) ).
fof(d2_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  => k3_lattice3(A)=g1_orders_2(u1_struct_0(A), k2_lattice3(A))) ) ).
fof(t6_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  (k3_lattice3(A)=k3_lattice3(B) => g3_lattices(u1_struct_0(A), u2_lattices(A), u1_lattices(A))=g3_lattices(u1_struct_0(B), u2_lattices(B), u1_lattices(B))) ) ) ) ) ).
fof(d3_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k4_lattice3(A, B)=B) ) ) ) ).
fof(d4_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_lattice3(A))) => k5_lattice3(A, B)=B) ) ) ) ).
fof(t7_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_lattices(A, B, C) <=> r3_orders_2(k3_lattice3(A), k4_lattice3(A, B), k4_lattice3(A, C))) ) ) ) ) ) ) ).
fof(d5_lattice3, axiom,  (! [A] :  (l1_orders_2(A) => k7_lattice3(A)=g1_orders_2(u1_struct_0(A), k3_relset_1(u1_struct_0(A), u1_struct_0(A), u1_orders_2(A)))) ) ).
fof(t8_lattice3, axiom,  (! [A] :  (l1_orders_2(A) => k7_lattice3(k7_lattice3(A))=g1_orders_2(u1_struct_0(A), u1_orders_2(A))) ) ).
fof(d6_lattice3, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k8_lattice3(A, B)=B) ) ) ) ).
fof(d7_lattice3, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k7_lattice3(A))) => k9_lattice3(A, B)=B) ) ) ) ).
fof(t9_lattice3, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_orders_2(A, B, C) <=> r1_orders_2(k7_lattice3(A), k8_lattice3(A, C), k8_lattice3(A, B))) ) ) ) ) ) ) ).
fof(d8_lattice3, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_lattice3(A, B, C) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, B) => r1_orders_2(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(d9_lattice3, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_lattice3(A, B, C) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, B) => r1_orders_2(A, D, C)) ) ) ) ) ) ) ) ) ).
fof(d10_lattice3, axiom,  (! [A] :  (l1_orders_2(A) =>  (v1_lattice3(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (r1_orders_2(A, B, D) &  (r1_orders_2(A, C, D) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_orders_2(A, B, E) & r1_orders_2(A, C, E))  => r1_orders_2(A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_lattice3, axiom,  (! [A] :  (l1_orders_2(A) =>  (v2_lattice3(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (r1_orders_2(A, D, B) &  (r1_orders_2(A, D, C) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_orders_2(A, E, B) & r1_orders_2(A, E, C))  => r1_orders_2(A, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_lattice3, axiom,  (! [A] :  (l1_orders_2(A) =>  (v1_lattice3(A) <=> v2_lattice3(k7_lattice3(A))) ) ) ).
fof(t11_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (v1_lattice3(k3_lattice3(A)) & v2_lattice3(k3_lattice3(A))) ) ) ).
fof(d12_lattice3, axiom,  (! [A] :  (l1_orders_2(A) =>  (v3_lattice3(A) <=>  (! [B] :  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (r2_lattice3(A, B, C) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_lattice3(A, B, D) => r1_orders_2(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t12_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (v3_lattice3(A) =>  (v1_lattice3(A) & v2_lattice3(A)) ) ) ) ).
fof(d13_lattice3, axiom,  (! [A] :  (l1_orders_2(A) =>  (v5_orders_2(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (r1_orders_2(A, B, D) &  (r1_orders_2(A, C, D) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_orders_2(A, B, E) & r1_orders_2(A, C, E))  => r1_orders_2(A, D, E)) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (D=k10_lattice3(A, B, C) <=>  (r1_orders_2(A, B, D) &  (r1_orders_2(A, C, D) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_orders_2(A, B, E) & r1_orders_2(A, C, E))  => r1_orders_2(A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_lattice3, axiom,  (! [A] :  (l1_orders_2(A) =>  (v5_orders_2(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (r1_orders_2(A, D, B) &  (r1_orders_2(A, D, C) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_orders_2(A, E, B) & r1_orders_2(A, E, C))  => r1_orders_2(A, E, D)) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (D=k11_lattice3(A, B, C) <=>  (r1_orders_2(A, D, B) &  (r1_orders_2(A, D, C) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_orders_2(A, E, B) & r1_orders_2(A, E, C))  => r1_orders_2(A, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_lattice3, axiom,  (! [A] :  ( (v5_orders_2(A) &  (v1_lattice3(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k10_lattice3(A, B, C)=k10_lattice3(A, C, B)) ) ) ) ) ) ).
fof(t14_lattice3, axiom,  (! [A] :  ( (v5_orders_2(A) &  (v1_lattice3(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (v4_orders_2(A) => k10_lattice3(A, k10_lattice3(A, B, C), D)=k10_lattice3(A, B, k10_lattice3(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t15_lattice3, axiom,  (! [A] :  ( (v5_orders_2(A) &  (v2_lattice3(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k11_lattice3(A, B, C)=k11_lattice3(A, C, B)) ) ) ) ) ) ).
fof(t16_lattice3, axiom,  (! [A] :  ( (v5_orders_2(A) &  (v2_lattice3(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (v4_orders_2(A) => k11_lattice3(A, k11_lattice3(A, B, C), D)=k11_lattice3(A, B, k11_lattice3(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t17_lattice3, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k13_lattice3(A, k12_lattice3(A, B, C), C)=C) ) ) ) ) ) ).
fof(t18_lattice3, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k12_lattice3(A, B, k13_lattice3(A, B, C))=B) ) ) ) ) ) ).
fof(t19_lattice3, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) )  =>  (? [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_lattices(B) &  (v10_lattices(B) & l3_lattices(B)) ) )  & g1_orders_2(u1_struct_0(A), u1_orders_2(A))=k3_lattice3(B)) ) ) ) ).
fof(d15_lattice3, axiom,  (! [A] :  (l1_orders_2(A) =>  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_lattices(B) &  (v10_lattices(B) & l3_lattices(B)) ) )  =>  (B=k14_lattice3(A) <=> g1_orders_2(u1_struct_0(A), u1_orders_2(A))=k3_lattice3(B)) ) ) ) ) ) ).
fof(t20_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (k6_lattice3(u1_struct_0(A), k2_lattice3(A))=k2_lattice3(k1_lattice2(A)) & k7_lattice3(k3_lattice3(A))=k3_lattice3(k1_lattice2(A))) ) ) ).
fof(d16_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (r3_lattice3(A, B, C) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, C) => r1_lattices(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d17_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (r4_lattice3(A, B, C) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, C) => r1_lattices(A, D, B)) ) ) ) ) ) ) ) ) ).
fof(t21_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r3_lattice3(A, B, k7_domain_1(u1_struct_0(A), C, D)) <=> r3_lattices(A, B, k4_lattices(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t22_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r4_lattice3(A, B, k7_domain_1(u1_struct_0(A), C, D)) <=> r3_lattices(A, k3_lattices(A, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(d18_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (v4_lattice3(A) <=>  (! [B] :  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (r4_lattice3(A, C, B) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r4_lattice3(A, D, B) => r1_lattices(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t25_lattice3, axiom,  (! [A] : v4_lattice3(k1_lattice3(A))) ).
fof(t26_lattice3, axiom,  (! [A] : v5_lattice3(k1_lattice3(A))) ).
fof(t27_lattice3, axiom,  (! [A] : v6_lattice3(k1_lattice3(A))) ).
fof(t28_lattice3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (r3_lattice3(B, C, A) <=> r1_lattice3(k3_lattice3(B), A, k4_lattice3(B, C))) ) ) ) ) ) ).
fof(t29_lattice3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_lattice3(B))) =>  (r1_lattice3(k3_lattice3(B), A, C) <=> r3_lattice3(B, k5_lattice3(B, C), A)) ) ) ) ) ) ).
fof(t30_lattice3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (r4_lattice3(B, C, A) <=> r2_lattice3(k3_lattice3(B), A, k4_lattice3(B, C))) ) ) ) ) ) ).
fof(t31_lattice3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_lattice3(B))) =>  (r2_lattice3(k3_lattice3(B), A, C) <=> r4_lattice3(B, k5_lattice3(B, C), A)) ) ) ) ) ) ).
fof(d21_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (C=k15_lattice3(A, B) <=>  (r4_lattice3(A, C, B) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r4_lattice3(A, D, B) => r1_lattices(A, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (B=k16_lattice3(A, C) <=>  (r3_lattice3(A, B, C) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r3_lattice3(A, D, C) => r3_lattices(A, D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t38_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (r2_tarski(B, C) =>  (r3_lattices(A, B, k15_lattice3(A, C)) & r3_lattices(A, k16_lattice3(A, C), B)) ) ) ) ) ) ) ).
fof(t39_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (r3_lattice3(A, B, C) => r3_lattices(A, B, k16_lattice3(A, C))) ) ) ) ) ) ).
fof(t40_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (r2_tarski(B, C) & r4_lattice3(A, B, C))  => k15_lattice3(A, C)=B) ) ) ) ) ) ).
fof(t41_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (r2_tarski(B, C) & r3_lattice3(A, B, C))  => k16_lattice3(A, C)=B) ) ) ) ) ) ).
fof(t42_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k15_lattice3(A, k6_domain_1(u1_struct_0(A), B))=B & k16_lattice3(A, k6_domain_1(u1_struct_0(A), B))=B) ) ) ) ) ).
fof(t43_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k3_lattices(A, B, C)=k15_lattice3(A, k7_domain_1(u1_struct_0(A), B, C)) & k4_lattices(A, B, C)=k16_lattice3(A, k7_domain_1(u1_struct_0(A), B, C))) ) ) ) ) ) ) ).
fof(t45_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (! [C] :  (r1_tarski(B, C) =>  (r3_lattices(A, k15_lattice3(A, B), k15_lattice3(A, C)) & r3_lattices(A, k16_lattice3(A, C), k16_lattice3(A, B))) ) ) ) ) ) ).
fof(t47_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (! [C] :  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(D, B) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r3_lattices(A, D, E) & r2_tarski(E, C)) ) ) ) ) ) ) )  => r3_lattices(A, k15_lattice3(A, B), k15_lattice3(A, C))) ) ) ) ) ).
fof(t49_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) )  & k5_lattices(A)=k15_lattice3(A, k1_xboole_0)) ) ) ).
fof(t50_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v14_lattices(A) & l3_lattices(A)) ) )  & k6_lattices(A)=k15_lattice3(A, u1_struct_0(A))) ) ) ).
fof(t52_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_filter_0(A) & l3_lattices(A)) ) )  => v5_lattice3(A)) ) ) ).
fof(t55_lattice3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k9_setfam_1(A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), A)))) )  =>  ~ ( ( (! [C] :  (m1_subset_1(C, A) => k3_funct_2(k1_zfmisc_1(A), A, B, k6_domain_1(A, C))=C) )  &  ( (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))) => k3_funct_2(k1_zfmisc_1(A), A, B, k7_relset_1(k9_setfam_1(A), A, B, C))=k3_funct_2(k1_zfmisc_1(A), A, B, k5_setfam_1(A, C))) )  &  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v3_lattices(C) &  (v10_lattices(C) &  (v4_lattice3(C) & l3_lattices(C)) ) ) )  =>  ~ ( (u1_struct_0(C)=A &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(C))) => k15_lattice3(C, D)=k1_funct_1(B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_lattice3, axiom,  (! [A] :  (v3_lattices(k1_lattice3(A)) & l3_lattices(k1_lattice3(A))) ) ).
fof(dt_k2_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (v1_partfun1(k2_lattice3(A), u1_struct_0(A)) &  (v1_relat_2(k2_lattice3(A)) &  (v4_relat_2(k2_lattice3(A)) &  (v8_relat_2(k2_lattice3(A)) & m1_subset_1(k2_lattice3(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ) ) ).
fof(redefinition_k2_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  => k2_lattice3(A)=k8_filter_1(A)) ) ).
fof(dt_k3_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (v1_orders_2(k3_lattice3(A)) &  (v3_orders_2(k3_lattice3(A)) &  (v4_orders_2(k3_lattice3(A)) &  (v5_orders_2(k3_lattice3(A)) & l1_orders_2(k3_lattice3(A))) ) ) ) ) ) ).
fof(dt_k4_lattice3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k4_lattice3(A, B), u1_struct_0(k3_lattice3(A)))) ) ).
fof(dt_k5_lattice3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  & m1_subset_1(B, u1_struct_0(k3_lattice3(A))))  => m1_subset_1(k5_lattice3(A, B), u1_struct_0(A))) ) ).
fof(dt_k6_lattice3, axiom,  (! [A, B] :  ( (v1_partfun1(B, A) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  =>  (v1_partfun1(k6_lattice3(A, B), A) &  (v1_relat_2(k6_lattice3(A, B)) &  (v4_relat_2(k6_lattice3(A, B)) &  (v8_relat_2(k6_lattice3(A, B)) & m1_subset_1(k6_lattice3(A, B), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ) ).
fof(involutiveness_k6_lattice3, axiom,  (! [A, B] :  ( (v1_partfun1(B, A) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  => k6_lattice3(A, k6_lattice3(A, B))=B) ) ).
fof(redefinition_k6_lattice3, axiom,  (! [A, B] :  ( (v1_partfun1(B, A) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  => k6_lattice3(A, B)=k2_relat_1(B)) ) ).
fof(dt_k7_lattice3, axiom,  (! [A] :  (l1_orders_2(A) =>  (v1_orders_2(k7_lattice3(A)) & l1_orders_2(k7_lattice3(A))) ) ) ).
fof(dt_k8_lattice3, axiom,  (! [A, B] :  ( (l1_orders_2(A) & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k8_lattice3(A, B), u1_struct_0(k7_lattice3(A)))) ) ).
fof(dt_k9_lattice3, axiom,  (! [A, B] :  ( (l1_orders_2(A) & m1_subset_1(B, u1_struct_0(k7_lattice3(A))))  => m1_subset_1(k9_lattice3(A, B), u1_struct_0(A))) ) ).
fof(dt_k10_lattice3, axiom,  (! [A, B, C] :  ( (l1_orders_2(A) &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k10_lattice3(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k11_lattice3, axiom,  (! [A, B, C] :  ( (l1_orders_2(A) &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k11_lattice3(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k12_lattice3, axiom,  (! [A, B, C] :  ( ( (v5_orders_2(A) &  (v2_lattice3(A) & l1_orders_2(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k12_lattice3(A, B, C), u1_struct_0(A))) ) ).
fof(commutativity_k12_lattice3, axiom,  (! [A, B, C] :  ( ( (v5_orders_2(A) &  (v2_lattice3(A) & l1_orders_2(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k12_lattice3(A, B, C)=k12_lattice3(A, C, B)) ) ).
fof(redefinition_k12_lattice3, axiom,  (! [A, B, C] :  ( ( (v5_orders_2(A) &  (v2_lattice3(A) & l1_orders_2(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k12_lattice3(A, B, C)=k11_lattice3(A, B, C)) ) ).
fof(dt_k13_lattice3, axiom,  (! [A, B, C] :  ( ( (v5_orders_2(A) &  (v1_lattice3(A) & l1_orders_2(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k13_lattice3(A, B, C), u1_struct_0(A))) ) ).
fof(commutativity_k13_lattice3, axiom,  (! [A, B, C] :  ( ( (v5_orders_2(A) &  (v1_lattice3(A) & l1_orders_2(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k13_lattice3(A, B, C)=k13_lattice3(A, C, B)) ) ).
fof(redefinition_k13_lattice3, axiom,  (! [A, B, C] :  ( ( (v5_orders_2(A) &  (v1_lattice3(A) & l1_orders_2(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k13_lattice3(A, B, C)=k10_lattice3(A, B, C)) ) ).
fof(dt_k14_lattice3, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ~ (v2_struct_0(k14_lattice3(A)))  &  (v3_lattices(k14_lattice3(A)) &  (v10_lattices(k14_lattice3(A)) & l3_lattices(k14_lattice3(A))) ) ) ) ) ).
fof(dt_k15_lattice3, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  => m1_subset_1(k15_lattice3(A, B), u1_struct_0(A))) ) ).
fof(dt_k16_lattice3, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  => m1_subset_1(k16_lattice3(A, B), u1_struct_0(A))) ) ).
fof(dt_f2_s1_lattice3, axiom,  ~ (v1_xboole_0(f2_s1_lattice3)) ).
fof(dt_f1_s2_lattice3, axiom,  ~ (v1_xboole_0(f1_s2_lattice3)) ).
fof(dt_f2_s2_lattice3, axiom,  ~ (v1_xboole_0(f2_s2_lattice3)) ).
fof(dt_f3_s2_lattice3, axiom,  (! [A] : m1_subset_1(f3_s2_lattice3(A), f2_s2_lattice3)) ).
fof(dt_f4_s2_lattice3, axiom,  (v1_relat_1(f4_s2_lattice3) & v1_funct_1(f4_s2_lattice3)) ).
fof(d19_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (v5_lattice3(A) <=>  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r4_lattice3(A, C, B) &  ( (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r4_lattice3(A, F, B) => r1_lattices(A, C, F)) ) )  &  (r4_lattice3(A, E, a_3_0_lattice3(A, B, D)) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r4_lattice3(A, F, a_3_0_lattice3(A, B, D)) => r1_lattices(A, E, F)) ) ) ) ) )  => r1_lattices(A, k2_lattices(A, D, C), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d20_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (v6_lattice3(A) <=>  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r3_lattice3(A, C, B) &  ( (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r3_lattice3(A, F, B) => r1_lattices(A, F, C)) ) )  &  (r3_lattice3(A, E, a_3_1_lattice3(A, B, D)) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r3_lattice3(A, F, a_3_1_lattice3(A, B, D)) => r1_lattices(A, F, E)) ) ) ) ) )  => r1_lattices(A, E, k1_lattices(A, D, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_lattice3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v17_lattices(B) & l3_lattices(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (r4_lattice3(B, C, A) <=> r3_lattice3(B, k7_lattices(B, C), a_2_0_lattice3(A, B))) ) ) ) ) ) ).
fof(t24_lattice3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v17_lattices(B) & l3_lattices(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (r3_lattice3(B, C, A) <=> r4_lattice3(B, k7_lattices(B, C), a_2_0_lattice3(A, B))) ) ) ) ) ) ).
fof(d22_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (! [B] : k16_lattice3(A, B)=k15_lattice3(A, a_2_1_lattice3(A, B))) ) ) ).
fof(t32_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] : r3_lattices(A, k15_lattice3(A, a_3_2_lattice3(A, B, C)), k4_lattices(A, B, k15_lattice3(A, C)))) ) ) ) ) ).
fof(t33_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (v5_lattice3(A) <=>  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r3_lattices(A, k4_lattices(A, C, k15_lattice3(A, B)), k15_lattice3(A, a_3_3_lattice3(A, B, C)))) ) ) ) ) ) ).
fof(t35_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] : r3_lattices(A, k3_lattices(A, B, k16_lattice3(A, C)), k16_lattice3(A, a_3_4_lattice3(A, B, C)))) ) ) ) ) ).
fof(t36_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (v6_lattice3(A) <=>  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r3_lattices(A, k16_lattice3(A, a_3_5_lattice3(A, B, C)), k3_lattices(A, C, k16_lattice3(A, B)))) ) ) ) ) ) ).
fof(t37_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] : k15_lattice3(A, B)=k16_lattice3(A, a_2_2_lattice3(A, B))) ) ) ).
fof(t44_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (B=k15_lattice3(A, a_2_3_lattice3(A, B)) & B=k16_lattice3(A, a_2_4_lattice3(A, B))) ) ) ) ) ).
fof(t46_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (k15_lattice3(A, B)=k15_lattice3(A, a_2_5_lattice3(A, B)) & k16_lattice3(A, B)=k16_lattice3(A, a_2_6_lattice3(A, B))) ) ) ) ).
fof(t48_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (r1_tarski(B, k9_setfam_1(u1_struct_0(A))) => k15_lattice3(A, k3_tarski(B))=k15_lattice3(A, a_2_7_lattice3(A, B))) ) ) ) ).
fof(t51_lattice3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v3_filter_0(A) & l3_lattices(A)) ) )  => k4_filter_0(A, B, C)=k15_lattice3(A, a_3_6_lattice3(A, B, C))) ) ) ) ) ) ) ).
fof(t53_lattice3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v4_lattice3(B) &  (v5_lattice3(B) & l3_lattices(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (k4_lattices(B, C, k15_lattice3(B, A))=k15_lattice3(B, a_3_7_lattice3(A, B, C)) & k4_lattices(B, k15_lattice3(B, A), C)=k15_lattice3(B, a_3_8_lattice3(A, B, C))) ) ) ) ) ) ).
fof(t54_lattice3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v4_lattice3(B) &  (v6_lattice3(B) & l3_lattices(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (k3_lattices(B, C, k16_lattice3(B, A))=k16_lattice3(B, a_3_9_lattice3(A, B, C)) & k3_lattices(B, k16_lattice3(B, A), C)=k16_lattice3(B, a_3_10_lattice3(A, B, C))) ) ) ) ) ) ).
fof(s1_lattice3, axiom,  ( (? [A] :  (m1_subset_1(A, f2_s1_lattice3) & p1_s1_lattice3(A)) )  => a_0_0_lattice3=k1_tarski(f1_s1_lattice3)) ).
fof(s2_lattice3, axiom,  (r1_tarski(f2_s2_lattice3, k9_xtuple_0(f4_s2_lattice3)) => k7_relat_1(f4_s2_lattice3, a_0_1_lattice3)=a_0_2_lattice3) ).
fof(fraenkel_a_3_0_lattice3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  & l3_lattices(B))  & m1_subset_1(D, u1_struct_0(B)))  =>  (r2_hidden(A, a_3_0_lattice3(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k2_lattices(B, D, E) & r2_tarski(E, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_1_lattice3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  & l3_lattices(B))  & m1_subset_1(D, u1_struct_0(B)))  =>  (r2_hidden(A, a_3_1_lattice3(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k1_lattices(B, D, E) & r2_tarski(E, C)) ) ) ) ) ) ).
fof(fraenkel_a_2_0_lattice3, axiom,  (! [A, B, C] :  ( ( ~ (v2_struct_0(C))  &  (v10_lattices(C) &  (v17_lattices(C) & l3_lattices(C)) ) )  =>  (r2_hidden(A, a_2_0_lattice3(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(C)) &  (A=k7_lattices(C, D) & r2_tarski(D, B)) ) ) ) ) ) ).
fof(fraenkel_a_2_1_lattice3, axiom,  (! [A, B, C] :  ( ( ~ (v2_struct_0(B))  & l3_lattices(B))  =>  (r2_hidden(A, a_2_1_lattice3(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & r3_lattice3(B, D, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_2_lattice3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v4_lattice3(B) & l3_lattices(B)) ) )  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_3_2_lattice3(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k4_lattices(B, C, E) & r2_tarski(E, D)) ) ) ) ) ) ).
fof(fraenkel_a_3_3_lattice3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v4_lattice3(B) & l3_lattices(B)) ) )  & m1_subset_1(D, u1_struct_0(B)))  =>  (r2_hidden(A, a_3_3_lattice3(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k4_lattices(B, D, E) & r2_tarski(E, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_4_lattice3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v4_lattice3(B) & l3_lattices(B)) ) )  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_3_4_lattice3(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k3_lattices(B, C, E) & r2_tarski(E, D)) ) ) ) ) ) ).
fof(fraenkel_a_3_5_lattice3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v4_lattice3(B) & l3_lattices(B)) ) )  & m1_subset_1(D, u1_struct_0(B)))  =>  (r2_hidden(A, a_3_5_lattice3(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k3_lattices(B, D, E) & r2_tarski(E, C)) ) ) ) ) ) ).
fof(fraenkel_a_2_2_lattice3, axiom,  (! [A, B, C] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v4_lattice3(B) & l3_lattices(B)) ) )  =>  (r2_hidden(A, a_2_2_lattice3(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & r4_lattice3(B, D, C)) ) ) ) ) ) ).
fof(fraenkel_a_2_3_lattice3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v4_lattice3(B) & l3_lattices(B)) ) )  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_2_3_lattice3(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & r3_lattices(B, D, C)) ) ) ) ) ) ).
fof(fraenkel_a_2_4_lattice3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v4_lattice3(B) & l3_lattices(B)) ) )  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_2_4_lattice3(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & r3_lattices(B, C, D)) ) ) ) ) ) ).
fof(fraenkel_a_2_5_lattice3, axiom,  (! [A, B, C] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v4_lattice3(B) & l3_lattices(B)) ) )  =>  (r2_hidden(A, a_2_5_lattice3(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D &  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (r3_lattices(B, D, E) & r2_tarski(E, C)) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_6_lattice3, axiom,  (! [A, B, C] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v4_lattice3(B) & l3_lattices(B)) ) )  =>  (r2_hidden(A, a_2_6_lattice3(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D &  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (r3_lattices(B, E, D) & r2_tarski(E, C)) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_7_lattice3, axiom,  (! [A, B, C] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v4_lattice3(B) & l3_lattices(B)) ) )  =>  (r2_hidden(A, a_2_7_lattice3(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) &  (A=k15_lattice3(B, D) & r2_tarski(D, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_6_lattice3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v4_lattice3(B) & l3_lattices(B)) ) )  &  (m1_subset_1(C, u1_struct_0(B)) & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_6_lattice3(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E & r3_lattices(B, k4_lattices(B, C, E), D)) ) ) ) ) ) ).
fof(fraenkel_a_3_7_lattice3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(C))  &  (v10_lattices(C) &  (v4_lattice3(C) &  (v5_lattice3(C) & l3_lattices(C)) ) ) )  & m1_subset_1(D, u1_struct_0(C)))  =>  (r2_hidden(A, a_3_7_lattice3(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(C)) &  (A=k4_lattices(C, D, E) & r2_tarski(E, B)) ) ) ) ) ) ).
fof(fraenkel_a_3_8_lattice3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(C))  &  (v10_lattices(C) &  (v4_lattice3(C) &  (v5_lattice3(C) & l3_lattices(C)) ) ) )  & m1_subset_1(D, u1_struct_0(C)))  =>  (r2_hidden(A, a_3_8_lattice3(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(C)) &  (A=k4_lattices(C, E, D) & r2_tarski(E, B)) ) ) ) ) ) ).
fof(fraenkel_a_3_9_lattice3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(C))  &  (v10_lattices(C) &  (v4_lattice3(C) &  (v6_lattice3(C) & l3_lattices(C)) ) ) )  & m1_subset_1(D, u1_struct_0(C)))  =>  (r2_hidden(A, a_3_9_lattice3(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(C)) &  (A=k3_lattices(C, D, E) & r2_tarski(E, B)) ) ) ) ) ) ).
fof(fraenkel_a_3_10_lattice3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(C))  &  (v10_lattices(C) &  (v4_lattice3(C) &  (v6_lattice3(C) & l3_lattices(C)) ) ) )  & m1_subset_1(D, u1_struct_0(C)))  =>  (r2_hidden(A, a_3_10_lattice3(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(C)) &  (A=k3_lattices(C, E, D) & r2_tarski(E, B)) ) ) ) ) ) ).
fof(fraenkel_a_0_0_lattice3, axiom,  (! [A] :  (r2_hidden(A, a_0_0_lattice3) <=>  (? [B] :  (m1_subset_1(B, f2_s1_lattice3) &  (A=f1_s1_lattice3 & p1_s1_lattice3(B)) ) ) ) ) ).
fof(fraenkel_a_0_1_lattice3, axiom,  (! [A] :  (r2_hidden(A, a_0_1_lattice3) <=>  (? [B] :  (m1_subset_1(B, f1_s2_lattice3) &  (A=f3_s2_lattice3(B) & p1_s2_lattice3(B)) ) ) ) ) ).
fof(fraenkel_a_0_2_lattice3, axiom,  (! [A] :  (r2_hidden(A, a_0_2_lattice3) <=>  (? [B] :  (m1_subset_1(B, f1_s2_lattice3) &  (A=k1_funct_1(f4_s2_lattice3, f3_s2_lattice3(B)) & p1_s2_lattice3(B)) ) ) ) ) ).
fof(fc1_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  ( ~ (v1_xboole_0(k1_filter_0(A)))  &  (v19_lattices(k1_filter_0(A), A) &  (v20_lattices(k1_filter_0(A), A) & v2_filter_0(k1_filter_0(A), A)) ) ) ) ) ).
fof(rc1_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  (v20_lattices(B, A) & v21_lattices(B, A)) ) ) ) ) ) ).
fof(fc2_lattice4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  ~ (v1_xboole_0(k4_lattice4(A, B))) ) ) ).
fof(t1_lattice4, axiom,  (! [A] :  ~ ( ( ~ (A=k1_xboole_0)  &  ( (! [B] :  ~ ( ( ~ (B=k1_xboole_0)  &  (r1_tarski(B, A) &  (v6_ordinal1(B) &  (! [C] :  ~ ( (r2_tarski(C, A) &  (! [D] :  (r2_tarski(D, B) => r1_tarski(D, C)) ) ) ) ) ) ) ) ) )  &  (! [B] :  ~ ( (r2_tarski(B, A) &  (! [C] :  ~ ( (r2_tarski(C, A) &  ( ~ (C=B)  & r1_tarski(B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v19_lattices(C, A) &  (v20_lattices(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (r1_tarski(B, k3_filter_0(A, k4_subset_1(u1_struct_0(A), B, C))) & r1_tarski(C, k3_filter_0(A, k4_subset_1(u1_struct_0(A), B, C)))) ) ) ) ) ) ) ).
fof(t3_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(C, k3_filter_0(A, k4_subset_1(u1_struct_0(A), k2_filter_0(A, D), B))) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_tarski(E, B) & r3_lattices(A, k4_lattices(A, D, E), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (m1_lattice4(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k3_lattices(A, D, E))=k3_lattices(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D), k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, E)) & k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k4_lattices(A, D, E))=k4_lattices(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D), k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_lattice4(E, A, B) =>  (r3_lattices(A, C, D) => r3_lattices(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), E, C), k3_funct_2(u1_struct_0(A), u1_struct_0(B), E, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_lattice4(E, A, B) =>  (v2_funct_1(E) =>  (r3_lattices(A, C, D) <=> r3_lattices(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), E, C), k3_funct_2(u1_struct_0(A), u1_struct_0(B), E, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v2_funct_2(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) & D=k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  (r1_filter_1(A, B) <=>  (? [C] :  (m1_lattice4(C, A, B) & v3_funct_2(C, u1_struct_0(A), u1_struct_0(B))) ) ) ) ) ) ) ).
fof(d3_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  (! [C] :  (m1_lattice4(C, A, B) =>  (r1_lattice4(A, B, C) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k4_filter_0(A, D, E))=k4_filter_0(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D), k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  (! [C] :  (m1_lattice4(C, A, B) =>  (r2_lattice4(A, B, C) <=> k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k6_lattices(A))=k6_lattices(B)) ) ) ) ) ) ) ).
fof(d5_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  (! [C] :  (m1_lattice4(C, A, B) =>  (r3_lattice4(A, B, C) <=> k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k5_lattices(A))=k5_lattices(B)) ) ) ) ) ) ) ).
fof(d6_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  (! [C] :  (m1_lattice4(C, A, B) =>  (r4_lattice4(A, B, C) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k7_lattices(A, D))=k7_lattices(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D))) ) ) ) ) ) ) ) ) ).
fof(t7_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (v20_lattices(u1_struct_0(A), A) &  (v21_lattices(u1_struct_0(A), A) & m1_subset_1(u1_struct_0(A), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ).
fof(t8_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v20_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ).
fof(d7_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, k5_finsub_1(u1_struct_0(A))) => k1_lattice4(A, B)=k2_lattice2(u1_struct_0(A), A, B, k3_struct_0(A))) ) ) ) ).
fof(d8_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, k5_finsub_1(u1_struct_0(A))) => k2_lattice4(A, B)=k3_lattice2(u1_struct_0(A), A, B, k3_struct_0(A))) ) ) ) ).
fof(t9_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_lattice4(A, k2_setwiseo(u1_struct_0(A), B))=B) ) ) ) ).
fof(t10_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_lattice4(A, k2_setwiseo(u1_struct_0(A), B))=B) ) ) ) ).
fof(t11_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v11_lattices(B) & l3_lattices(B)) ) )  =>  (! [C] :  (m1_lattice4(C, B, A) =>  (v2_funct_2(C, u1_struct_0(A)) => v11_lattices(A)) ) ) ) ) ) ) ).
fof(t12_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v13_lattices(B) & l3_lattices(B)) ) )  =>  (! [C] :  (m1_lattice4(C, B, A) =>  (v2_funct_2(C, u1_struct_0(A)) =>  (v13_lattices(A) & r3_lattice4(B, A, C)) ) ) ) ) ) ) ) ).
fof(t13_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k5_finsub_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  => k2_lattice2(u1_struct_0(A), A, k5_setwiseo(u1_struct_0(A), B, k2_setwiseo(u1_struct_0(A), C)), D)=k3_lattices(A, k2_lattice2(u1_struct_0(A), A, B, D), k3_funct_2(u1_struct_0(A), u1_struct_0(A), D, C))) ) ) ) ) ) ) ) ).
fof(t14_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k5_finsub_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_lattice4(A, k5_setwiseo(u1_struct_0(A), B, k2_setwiseo(u1_struct_0(A), C)))=k3_lattices(A, k1_lattice4(A, B), C)) ) ) ) ) ) ).
fof(t15_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k5_finsub_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(u1_struct_0(A))) => k3_lattices(A, k1_lattice4(A, B), k1_lattice4(A, C))=k1_lattice4(A, k5_setwiseo(u1_struct_0(A), B, C))) ) ) ) ) ) ).
fof(t16_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) )  => k1_lattice4(A, k1_setwiseo(u1_struct_0(A)))=k5_lattices(A)) ) ).
fof(t17_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( (v20_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (r2_tarski(k5_lattices(A), B) =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(u1_struct_0(A))) =>  (r1_tarski(C, B) => r2_tarski(k1_lattice4(A, C), B)) ) ) ) ) ) ) ) ).
fof(t18_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v14_lattices(B) & l3_lattices(B)) ) )  =>  (! [C] :  (m1_lattice4(C, B, A) =>  (v2_funct_2(C, u1_struct_0(A)) =>  (v14_lattices(A) & r2_lattice4(B, A, C)) ) ) ) ) ) ) ) ).
fof(t19_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v14_lattices(A) & l3_lattices(A)) ) )  => k2_lattice4(A, k1_setwiseo(u1_struct_0(A)))=k6_lattices(A)) ) ).
fof(t20_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v14_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k5_finsub_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  => k3_lattice2(u1_struct_0(A), A, k5_setwiseo(u1_struct_0(A), B, k2_setwiseo(u1_struct_0(A), C)), D)=k4_lattices(A, k3_lattice2(u1_struct_0(A), A, B, D), k3_funct_2(u1_struct_0(A), u1_struct_0(A), D, C))) ) ) ) ) ) ) ) ).
fof(t21_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v14_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k5_finsub_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_lattice4(A, k5_setwiseo(u1_struct_0(A), B, k2_setwiseo(u1_struct_0(A), C)))=k4_lattices(A, k2_lattice4(A, B), C)) ) ) ) ) ) ).
fof(t22_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v14_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k5_finsub_1(u1_struct_0(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  => k3_lattice2(u1_struct_0(A), A, k8_setwiseo(u1_struct_0(A), u1_struct_0(A), C, B), D)=k3_lattice2(u1_struct_0(A), A, B, k1_partfun1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), C, D))) ) ) ) ) ) ) ) ).
fof(t23_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v14_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k5_finsub_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(u1_struct_0(A))) => k4_lattices(A, k2_lattice4(A, B), k2_lattice4(A, C))=k2_lattice4(A, k5_setwiseo(u1_struct_0(A), B, C))) ) ) ) ) ) ).
fof(t24_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v14_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( (v20_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (r2_tarski(k6_lattices(A), B) =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(u1_struct_0(A))) =>  (r1_tarski(C, B) => r2_tarski(k2_lattice4(A, C), B)) ) ) ) ) ) ) ) ).
fof(t25_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) &  (v14_lattices(A) & l3_lattices(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k5_finsub_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_lattices(A, k2_lattice4(A, B), C)=k2_lattice4(A, k8_setwiseo(u1_struct_0(A), u1_struct_0(A), k9_funcop_1(u1_struct_0(A), u1_struct_0(A), u2_lattices(A), k3_struct_0(A), C), B))) ) ) ) ) ) ).
fof(t26_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v16_lattices(A) & l3_lattices(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v3_filter_0(B) & l3_lattices(B)) ) )  =>  (! [C] :  (m1_lattice4(C, B, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => r3_lattices(A, k4_lattices(A, k3_funct_2(u1_struct_0(B), u1_struct_0(A), C, D), k3_funct_2(u1_struct_0(B), u1_struct_0(A), C, k4_filter_0(B, D, E))), k3_funct_2(u1_struct_0(B), u1_struct_0(A), C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t27_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v16_lattices(A) & l3_lattices(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v3_filter_0(B) & l3_lattices(B)) ) )  =>  (! [C] :  (m1_lattice4(C, B, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( (v2_funct_1(C) & r3_lattices(A, k4_lattices(A, k3_funct_2(u1_struct_0(B), u1_struct_0(A), C, D), k3_funct_2(u1_struct_0(B), u1_struct_0(A), C, F)), k3_funct_2(u1_struct_0(B), u1_struct_0(A), C, E)))  => r3_lattices(A, k3_funct_2(u1_struct_0(B), u1_struct_0(A), C, F), k3_funct_2(u1_struct_0(B), u1_struct_0(A), C, k4_filter_0(B, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v16_lattices(A) & l3_lattices(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v3_filter_0(B) & l3_lattices(B)) ) )  =>  (! [C] :  (m1_lattice4(C, B, A) =>  (v3_funct_2(C, u1_struct_0(B), u1_struct_0(A)) =>  (v3_filter_0(A) & r1_lattice4(B, A, C)) ) ) ) ) ) ) ) ).
fof(t29_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  => k7_lattices(A, k6_lattices(A))=k5_lattices(A)) ) ).
fof(t30_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  => k7_lattices(A, k5_lattices(A))=k6_lattices(A)) ) ).
fof(t31_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v16_lattices(A) & l3_lattices(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v17_lattices(B) & l3_lattices(B)) ) )  =>  (! [C] :  (m1_lattice4(C, B, A) =>  (v2_funct_2(C, u1_struct_0(A)) =>  (v17_lattices(A) & r4_lattice4(B, A, C)) ) ) ) ) ) ) ) ).
fof(d9_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (m2_lattice4(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  =>  (r2_tarski(k4_lattices(A, C, D), B) & r2_tarski(k7_lattices(A, C), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_lattice4(D, A) =>  ( (r2_tarski(B, D) & r2_tarski(C, D))  => r2_tarski(k3_lattices(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t33_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_lattice4(D, A) =>  ( (r2_tarski(B, D) & r2_tarski(C, D))  => r2_tarski(k4_filter_0(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t34_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  => m2_lattice4(u1_struct_0(A), A)) ) ).
fof(t35_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m2_lattice4(B, A) =>  (v20_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ).
fof(d10_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m2_lattice4(C, A) =>  (C=k3_lattice4(A, B) <=>  (r1_tarski(B, C) &  (! [D] :  (m2_lattice4(D, A) =>  (r1_tarski(B, D) => r1_tarski(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_lattice4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v17_lattices(B) & l3_lattices(B)) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_tarski(A, k4_lattice4(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k4_filter_0(B, D, E) &  (r2_tarski(D, C) & r2_tarski(E, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, k4_lattice4(A, B)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (C=k3_lattices(A, k7_lattices(A, D), E) &  (r2_tarski(D, B) & r2_tarski(E, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (B=k5_lattice4(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, C)=k7_lattices(A, C)) ) ) ) ) ) ) ).
fof(t38_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(u1_struct_0(A))) => k2_lattice2(u1_struct_0(A), A, k5_setwiseo(u1_struct_0(A), C, k2_setwiseo(u1_struct_0(A), B)), k5_lattice4(A))=k3_lattices(A, k2_lattice2(u1_struct_0(A), A, C, k5_lattice4(A)), k7_lattices(A, B))) ) ) ) ) ) ).
fof(t39_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k5_finsub_1(u1_struct_0(A))) => k7_lattices(A, k1_lattice4(A, B))=k3_lattice2(u1_struct_0(A), A, B, k5_lattice4(A))) ) ) ) ).
fof(t40_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(u1_struct_0(A))) => k3_lattice2(u1_struct_0(A), A, k5_setwiseo(u1_struct_0(A), C, k2_setwiseo(u1_struct_0(A), B)), k5_lattice4(A))=k4_lattices(A, k3_lattice2(u1_struct_0(A), A, C, k5_lattice4(A)), k7_lattices(A, B))) ) ) ) ) ) ).
fof(t41_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k5_finsub_1(u1_struct_0(A))) => k7_lattices(A, k2_lattice4(A, B))=k2_lattice2(u1_struct_0(A), A, B, k5_lattice4(A))) ) ) ) ).
fof(t42_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v20_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ( (r2_tarski(k5_lattices(A), B) & r2_tarski(k6_lattices(A), B))  =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(u1_struct_0(A))) =>  ~ ( (r1_tarski(C, k4_lattice4(A, B)) &  (! [D] :  (m1_subset_1(D, k5_finsub_1(u1_struct_0(A))) =>  ~ ( (r1_tarski(D, k4_lattice4(A, B)) & k2_lattice2(u1_struct_0(A), A, C, k5_lattice4(A))=k2_lattice4(A, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_m1_lattice4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) ) )  =>  (! [C] :  (m1_lattice4(C, A, B) =>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) ) ).
fof(existence_m1_lattice4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  &  ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) ) )  =>  (? [C] : m1_lattice4(C, A, B)) ) ) ).
fof(dt_k1_lattice4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  & m1_subset_1(B, k5_finsub_1(u1_struct_0(A))))  => m1_subset_1(k1_lattice4(A, B), u1_struct_0(A))) ) ).
fof(dt_k2_lattice4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  & m1_subset_1(B, k5_finsub_1(u1_struct_0(A))))  => m1_subset_1(k2_lattice4(A, B), u1_struct_0(A))) ) ).
fof(dt_m2_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m2_lattice4(B, A) =>  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ).
fof(existence_m2_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (? [B] : m2_lattice4(B, A)) ) ) ).
fof(dt_k3_lattice4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => m2_lattice4(k3_lattice4(A, B), A)) ) ).
fof(dt_k4_lattice4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k4_lattice4(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k5_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (v1_funct_1(k5_lattice4(A)) &  (v1_funct_2(k5_lattice4(A), u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(k5_lattice4(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ).
fof(d11_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => k4_lattice4(A, B)=a_2_0_lattice4(A, B)) ) ) ) ).
fof(t43_lattice4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v20_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ( (r2_tarski(k5_lattices(A), B) & r2_tarski(k6_lattices(A), B))  => a_2_1_lattice4(A, B)=k3_lattice4(A, B)) ) ) ) ) ).
fof(fraenkel_a_2_0_lattice4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v17_lattices(B) & l3_lattices(B)) ) )  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (r2_hidden(A, a_2_0_lattice4(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, u1_struct_0(B)) & m1_subset_1(E, u1_struct_0(B)))  &  (A=k4_filter_0(B, D, E) &  (r2_tarski(D, C) & r2_tarski(E, C)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_lattice4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v17_lattices(B) & l3_lattices(B)) ) )  &  ( ~ (v1_xboole_0(C))  &  (v20_lattices(C, B) &  (v21_lattices(C, B) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B)))) ) ) )  =>  (r2_hidden(A, a_2_1_lattice4(B, C)) <=>  (? [D] :  (m1_subset_1(D, k5_finsub_1(u1_struct_0(B))) &  (A=k2_lattice4(B, D) & r1_tarski(D, k4_lattice4(B, C))) ) ) ) ) ) ).
fof(fc1_lattice5, axiom,  (! [A] :  (v3_orders_2(k1_lattice5(A)) &  (v4_orders_2(k1_lattice5(A)) &  (v5_orders_2(k1_lattice5(A)) &  (v1_lattice3(k1_lattice5(A)) & v2_lattice3(k1_lattice5(A))) ) ) ) ) ).
fof(fc2_lattice5, axiom,  (! [A] :  (v3_orders_2(k1_lattice5(A)) &  (v4_orders_2(k1_lattice5(A)) &  (v5_orders_2(k1_lattice5(A)) & v3_lattice3(k1_lattice5(A))) ) ) ) ).
fof(rc1_lattice5, axiom,  (! [A, B] :  ( ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) )  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) & l1_orders_2(B)) ) ) ) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v19_waybel_0(C, A, B) & v20_waybel_0(C, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(rc2_lattice5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) )  =>  (? [B] :  (m1_yellow_0(B, A) &  (v1_orders_2(B) &  (v5_yellow_0(B, A) & v6_yellow_0(B, A)) ) ) ) ) ) ).
fof(fc3_lattice5, axiom,  (! [A, B, C] :  ( ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) )  &  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) & l1_orders_2(B)) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v19_waybel_0(C, A, B) &  (v20_waybel_0(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) )  =>  (v1_orders_2(k1_yellow_2(A, B, C)) &  (v4_yellow_0(k1_yellow_2(A, B, C), B) &  (v5_yellow_0(k1_yellow_2(A, B, C), B) & v6_yellow_0(k1_yellow_2(A, B, C), B)) ) ) ) ) ).
fof(rc3_lattice5, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B)))) &  (v1_relat_1(C) &  (v4_relat_1(C, k2_zfmisc_1(A, A)) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) &  (v1_lattice5(C, A, B) &  (v2_lattice5(C, A, B) & v3_lattice5(C, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc4_lattice5, axiom,  (! [A] :  ~ (v1_xboole_0(k5_lattice5(A))) ) ).
fof(fc5_lattice5, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & v3_ordinal1(B))  =>  ~ (v1_xboole_0(k8_lattice5(A, B))) ) ) ).
fof(fc6_lattice5, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) ) ) )  =>  ~ (v1_xboole_0(k13_lattice5(A, B, C))) ) ) ).
fof(t1_lattice5, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_funcop_1(B)) )  =>  (A=k3_tarski(k10_xtuple_0(B)) => k9_xtuple_0(A)=k3_tarski(k10_xtuple_0(k1_funct_6(B)))) ) ) ) ) ).
fof(d1_lattice5, axiom,  (! [A] : k1_lattice5(A)=k3_lattice3(k2_msualg_5(A))) ).
fof(t4_lattice5, axiom,  (! [A] :  (! [B] :  (r2_tarski(B, u1_struct_0(k1_lattice5(A))) <=>  (v1_partfun1(B, A) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ) ).
fof(t5_lattice5, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_msualg_5(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_msualg_5(A))) =>  (r3_lattices(k2_msualg_5(A), B, C) <=> r1_tarski(B, C)) ) ) ) ) ) ).
fof(t6_lattice5, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_lattice5(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_lattice5(A))) =>  (r3_orders_2(k1_lattice5(A), B, C) <=> r1_tarski(B, C)) ) ) ) ) ) ).
fof(t7_lattice5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_lattice3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_lattice3(A))) => k12_lattice3(k3_lattice3(A), B, C)=k4_lattices(A, k5_lattice3(A, B), k5_lattice3(A, C))) ) ) ) ) ) ).
fof(t8_lattice5, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_lattice5(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_lattice5(A))) => k12_lattice3(k1_lattice5(A), B, C)=k3_xboole_0(B, C)) ) ) ) ) ).
fof(t9_lattice5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_lattice3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_lattice3(A))) => k13_lattice3(k3_lattice3(A), B, C)=k3_lattices(A, k5_lattice3(A, B), k5_lattice3(A, C))) ) ) ) ) ) ).
fof(t10_lattice5, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_lattice5(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_lattice5(A))) =>  (! [D] :  ( (v1_partfun1(D, A) &  (v3_relat_2(D) &  (v8_relat_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [E] :  ( (v1_partfun1(E, A) &  (v3_relat_2(E) &  (v8_relat_2(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  ( (B=D & C=E)  => k13_lattice3(k1_lattice5(A), B, C)=k5_eqrel_1(A, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(d2_lattice5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (v3_lattice3(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (r1_lattice3(A, B, C) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_lattice3(A, B, D) => r1_orders_2(A, D, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, A))  =>  (! [C] :  (! [D] :  (! [E] :  (v1_relat_1(E) =>  (! [F] :  (v1_relat_1(F) =>  (r1_lattice5(A, B, C, D, E, F) <=>  (k1_funct_1(B, 1)=C &  (k1_funct_1(B, k3_finseq_1(B))=D &  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  (r1_xxreal_0(1, G) =>  (r1_xxreal_0(k3_finseq_1(B), G) |  ( ( ~ (v1_abian(G))  => r2_hidden(k4_tarski(k1_funct_1(B, G), k1_funct_1(B, k1_nat_1(G, 1))), E))  &  (v1_abian(G) => r2_hidden(k4_tarski(k1_funct_1(B, G), k1_funct_1(B, k1_nat_1(G, 1))), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (v1_relat_1(D) =>  (! [E] :  (v1_relat_1(E) =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  & m2_finseq_1(F, A))  =>  ( (r1_relat_2(D, A) &  (r1_relat_2(E, A) & F=k2_finseq_2(C, B)) )  => r1_lattice5(A, F, B, B, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (! [D] :  (v1_relat_1(D) =>  (! [E] :  (v1_relat_1(E) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  ~ ( (r1_xxreal_0(F, G) &  (r1_relat_2(D, A) &  (r1_relat_2(E, A) &  ( (? [H] :  ( ( ~ (v1_xboole_0(H))  & m2_finseq_1(H, A))  &  (k3_finseq_1(H)=F & r1_lattice5(A, H, B, C, D, E)) ) )  &  (! [H] :  ( ( ~ (v1_xboole_0(H))  & m2_finseq_1(H, A))  =>  ~ ( (k3_finseq_1(H)=G & r1_lattice5(A, H, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_yellow_0(B, k1_lattice5(A)) &  (v6_yellow_0(B, k1_lattice5(A)) & m1_yellow_0(B, k1_lattice5(A))) )  =>  ~ ( ( (? [C] :  ( (v1_partfun1(C, A) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  &  (r2_tarski(C, u1_struct_0(B)) &  ~ (C=k6_partfun1(A)) ) ) )  &  ( (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (! [D] :  ( (v1_partfun1(D, A) &  (v3_relat_2(D) &  (v8_relat_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [E] :  ( (v1_partfun1(E, A) &  (v3_relat_2(E) &  (v8_relat_2(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [F] :  (! [G] :  ~ ( (r2_tarski(D, u1_struct_0(B)) &  (r2_tarski(E, u1_struct_0(B)) &  (r2_hidden(k4_tarski(F, G), k5_eqrel_1(A, D, E)) &  (! [H] :  ( ( ~ (v1_xboole_0(H))  & m2_finseq_1(H, A))  =>  ~ ( (k3_finseq_1(H)=C & r1_lattice5(A, H, F, G, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ~ ( (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (C=k2_lattice5(A, B) <=>  ( (! [D] :  ( (v1_partfun1(D, A) &  (v3_relat_2(D) &  (v8_relat_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [E] :  ( (v1_partfun1(E, A) &  (v3_relat_2(E) &  (v8_relat_2(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [F] :  (! [G] :  ~ ( (r2_tarski(D, u1_struct_0(B)) &  (r2_tarski(E, u1_struct_0(B)) &  (r2_hidden(k4_tarski(F, G), k5_eqrel_1(A, D, E)) &  (! [H] :  ( ( ~ (v1_xboole_0(H))  & m2_finseq_1(H, A))  =>  ~ ( (k3_finseq_1(H)=k1_nat_1(C, 2) & r1_lattice5(A, H, F, G, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (? [D] :  ( (v1_partfun1(D, A) &  (v3_relat_2(D) &  (v8_relat_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  &  (? [E] :  ( (v1_partfun1(E, A) &  (v3_relat_2(E) &  (v8_relat_2(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  &  (? [F] :  (? [G] :  (r2_tarski(D, u1_struct_0(B)) &  (r2_tarski(E, u1_struct_0(B)) &  (r2_hidden(k4_tarski(F, G), k5_eqrel_1(A, D, E)) &  (! [H] :  ( ( ~ (v1_xboole_0(H))  & m2_finseq_1(H, A))  =>  ~ ( (k3_finseq_1(H)=k1_nat_1(C, 1) & r1_lattice5(A, H, F, G, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_yellow_0(B, k1_lattice5(A)) &  (v6_yellow_0(B, k1_lattice5(A)) & m1_yellow_0(B, k1_lattice5(A))) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (! [D] :  ( (v1_partfun1(D, A) &  (v3_relat_2(D) &  (v8_relat_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [E] :  ( (v1_partfun1(E, A) &  (v3_relat_2(E) &  (v8_relat_2(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [F] :  (! [G] :  ~ ( (r2_tarski(D, u1_struct_0(B)) &  (r2_tarski(E, u1_struct_0(B)) &  (r2_hidden(k4_tarski(F, G), k5_eqrel_1(A, D, E)) &  (! [H] :  ( ( ~ (v1_xboole_0(H))  & m2_finseq_1(H, A))  =>  ~ ( (k3_finseq_1(H)=k1_nat_1(C, 2) & r1_lattice5(A, H, F, G, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  ( (v1_partfun1(D, A) &  (v3_relat_2(D) &  (v8_relat_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  ~ ( (r2_tarski(D, u1_struct_0(B)) &  ~ (D=k6_partfun1(A)) ) ) ) )  | r1_xxreal_0(k2_lattice5(A, B), C)) ) ) ) ) ) ) ) ).
fof(d5_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (l1_struct_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (v1_lattice5(C, A, B) <=>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) => k3_lattice5(A, B, C, D, E)=k3_lattice5(A, B, C, E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (v2_lattice5(C, A, B) <=>  (! [D] :  (m1_subset_1(D, A) => k3_lattice5(A, B, C, D, D)=k3_yellow_0(B)) ) ) ) ) ) ) ) ) ).
fof(d7_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (v3_lattice5(C, A, B) <=>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) => r1_orders_2(B, k3_lattice5(A, B, C, D, F), k13_lattice3(B, k3_lattice5(A, B, C, D, E), k3_lattice5(A, B, C, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) &  (v1_lattice5(C, A, B) &  (v2_lattice5(C, A, B) &  (v3_lattice5(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(k1_lattice5(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(k1_lattice5(A)))))) )  =>  (D=k4_lattice5(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (? [F] :  ( (v1_partfun1(F, A) &  (v3_relat_2(F) &  (v8_relat_2(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  &  (F=k3_funct_2(u1_struct_0(B), u1_struct_0(k1_lattice5(A)), D, E) &  (! [G] :  (m1_subset_1(G, A) =>  (! [H] :  (m1_subset_1(H, A) =>  (r2_tarski(k1_domain_1(A, A, G, H), F) <=> r3_orders_2(B, k3_lattice5(A, B, C, G, H), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) &  (v1_lattice5(C, A, B) &  (v2_lattice5(C, A, B) &  (v3_lattice5(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) ) ) ) )  => v19_waybel_0(k4_lattice5(A, B, C), B, k1_lattice5(A))) ) ) ) ) ) ).
fof(t15_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) &  (v1_lattice5(C, A, B) &  (v2_lattice5(C, A, B) &  (v3_lattice5(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) ) ) ) )  =>  (v2_funct_2(C, u1_struct_0(B)) => v2_funct_1(k4_lattice5(A, B, C))) ) ) ) ) ) ) ).
fof(d9_lattice5, axiom,  (! [A] : k5_lattice5(A)=k2_xboole_0(A, k1_enumset1(k1_tarski(A), k1_tarski(k1_tarski(A)), k1_tarski(k1_tarski(k1_tarski(A)))))) ).
fof(d10_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (! [D] :  (m1_subset_1(D, k4_zfmisc_1(A, A, u1_struct_0(B), u1_struct_0(B))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(k5_lattice5(A), k5_lattice5(A)), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k5_lattice5(A), k5_lattice5(A)), u1_struct_0(B))))) )  =>  (E=k6_lattice5(A, B, C, D) <=>  ( (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) => k1_binop_1(E, F, G)=k3_lattice5(A, B, C, F, G)) ) ) )  &  (k1_binop_1(E, k1_tarski(A), k1_tarski(A))=k3_yellow_0(B) &  (k1_binop_1(E, k1_tarski(k1_tarski(A)), k1_tarski(k1_tarski(A)))=k3_yellow_0(B) &  (k1_binop_1(E, k1_tarski(k1_tarski(k1_tarski(A))), k1_tarski(k1_tarski(k1_tarski(A))))=k3_yellow_0(B) &  (k1_binop_1(E, k1_tarski(k1_tarski(A)), k1_tarski(k1_tarski(k1_tarski(A))))=k6_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D) &  (k1_binop_1(E, k1_tarski(k1_tarski(k1_tarski(A))), k1_tarski(k1_tarski(A)))=k6_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D) &  (k1_binop_1(E, k1_tarski(A), k1_tarski(k1_tarski(A)))=k7_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D) &  (k1_binop_1(E, k1_tarski(k1_tarski(A)), k1_tarski(A))=k7_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D) &  (k1_binop_1(E, k1_tarski(A), k1_tarski(k1_tarski(k1_tarski(A))))=k13_lattice3(B, k6_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D), k7_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D)) &  (k1_binop_1(E, k1_tarski(k1_tarski(k1_tarski(A))), k1_tarski(A))=k13_lattice3(B, k6_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D), k7_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D)) &  (! [F] :  (m1_subset_1(F, A) =>  (k1_binop_1(E, F, k1_tarski(A))=k13_lattice3(B, k3_lattice5(A, B, C, F, k4_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D)), k6_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D)) &  (k1_binop_1(E, k1_tarski(A), F)=k13_lattice3(B, k3_lattice5(A, B, C, F, k4_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D)), k6_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D)) &  (k1_binop_1(E, F, k1_tarski(k1_tarski(A)))=k13_lattice3(B, k13_lattice3(B, k3_lattice5(A, B, C, F, k4_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D)), k6_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D)), k7_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D)) &  (k1_binop_1(E, k1_tarski(k1_tarski(A)), F)=k13_lattice3(B, k13_lattice3(B, k3_lattice5(A, B, C, F, k4_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D)), k6_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D)), k7_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D)) &  (k1_binop_1(E, F, k1_tarski(k1_tarski(k1_tarski(A))))=k13_lattice3(B, k3_lattice5(A, B, C, F, k5_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D)), k7_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D)) & k1_binop_1(E, k1_tarski(k1_tarski(k1_tarski(A))), F)=k13_lattice3(B, k3_lattice5(A, B, C, F, k5_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D)), k7_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (v2_lattice5(C, A, B) =>  (! [D] :  (m1_subset_1(D, k4_zfmisc_1(A, A, u1_struct_0(B), u1_struct_0(B))) => v2_lattice5(k6_lattice5(A, B, C, D), k5_lattice5(A), B)) ) ) ) ) ) ) ) ) ).
fof(t17_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (v1_lattice5(C, A, B) =>  (! [D] :  (m1_subset_1(D, k4_zfmisc_1(A, A, u1_struct_0(B), u1_struct_0(B))) => v1_lattice5(k6_lattice5(A, B, C, D), k5_lattice5(A), B)) ) ) ) ) ) ) ) ) ).
fof(t18_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  ( (v1_lattice5(C, A, B) & v3_lattice5(C, A, B))  =>  (! [D] :  (m1_subset_1(D, k4_zfmisc_1(A, A, u1_struct_0(B), u1_struct_0(B))) =>  (r3_orders_2(B, k3_lattice5(A, B, C, k4_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D), k5_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D)), k13_lattice3(B, k6_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D), k7_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D))) => v3_lattice5(k6_lattice5(A, B, C, D), k5_lattice5(A), B)) ) ) ) ) ) ) ) ) ) ).
fof(t19_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (! [D] :  (m1_subset_1(D, k4_zfmisc_1(A, A, u1_struct_0(B), u1_struct_0(B))) => r1_relset_1(k2_zfmisc_1(A, A), u1_struct_0(B), C, k6_lattice5(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t20_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) &  (v1_lattice5(C, A, B) &  (v2_lattice5(C, A, B) &  (v3_lattice5(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) ) ) ) )  =>  ~ (k7_lattice5(A, B, C)=k1_xboole_0) ) ) ) ) ) ) ).
fof(d12_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (C=k8_lattice5(A, B) <=>  (? [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v5_ordinal1(D)) )  &  (C=k1_ordinal2(D) &  (k9_xtuple_0(D)=k1_ordinal1(B) &  (k1_funct_1(D, k5_numbers)=A &  ( (! [E] :  (v3_ordinal1(E) =>  (r2_tarski(k1_ordinal1(E), k1_ordinal1(B)) => k1_funct_1(D, k1_ordinal1(E))=k5_lattice5(k1_funct_1(D, E))) ) )  &  (! [E] :  (v3_ordinal1(E) =>  ( (r2_tarski(E, k1_ordinal1(B)) & v4_ordinal1(E))  =>  (E=k5_numbers | k1_funct_1(D, E)=k3_tarski(k2_relset_1(k10_xtuple_0(D), k5_relat_1(D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k8_lattice5(A, k5_numbers)=A) ) ).
fof(t22_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v3_ordinal1(B) => k8_lattice5(A, k1_ordinal1(B))=k5_lattice5(k8_lattice5(A, B))) ) ) ) ).
fof(t23_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v5_ordinal1(B)) )  =>  (! [C] :  (v3_ordinal1(C) =>  ( (v4_ordinal1(C) &  (k9_xtuple_0(B)=C &  (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(D, C) => k1_funct_1(B, D)=k8_lattice5(A, D)) ) ) ) )  =>  (C=k5_numbers | k8_lattice5(A, C)=k3_tarski(k10_xtuple_0(B))) ) ) ) ) ) ) ) ).
fof(t24_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v3_ordinal1(B) => r1_tarski(A, k8_lattice5(A, B))) ) ) ) ).
fof(d14_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (! [D] :  (m1_lattice5(D, A, B, C) =>  (! [E] :  (v3_ordinal1(E) =>  (r2_tarski(E, k9_xtuple_0(D)) => k9_lattice5(A, B, C, D, E)=k1_funct_1(D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  (v3_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (! [E] :  (m1_lattice5(E, A, B, D) =>  (r2_tarski(C, k7_lattice5(A, B, D)) <=> r2_tarski(C, k9_xtuple_0(E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  => k10_lattice5(A, B, C)=C) ) ) ) ) ) ).
fof(d16_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (! [D] :  (m1_lattice5(D, A, B, C) =>  (! [E] :  (v3_ordinal1(E) =>  (! [F] :  (F=k11_lattice5(A, B, C, D, E) <=>  (? [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) & v5_ordinal1(G)) )  &  (F=k1_ordinal2(G) &  (k9_xtuple_0(G)=k1_ordinal1(E) &  (k1_funct_1(G, k5_numbers)=C &  ( (! [H] :  (v3_ordinal1(H) =>  (r2_tarski(k1_ordinal1(H), k1_ordinal1(E)) => k1_funct_1(G, k1_ordinal1(H))=k6_lattice5(k8_lattice5(A, H), B, k10_lattice5(k8_lattice5(A, H), B, k1_funct_1(G, H)), k9_lattice5(A, B, C, D, H))) ) )  &  (! [H] :  (v3_ordinal1(H) =>  ( (r2_tarski(H, k1_ordinal1(E)) & v4_ordinal1(H))  =>  (H=k5_numbers | k1_funct_1(G, H)=k3_tarski(k2_relset_1(k10_xtuple_0(G), k5_relat_1(G, H)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (! [D] :  (m1_lattice5(D, A, B, C) => k11_lattice5(A, B, C, D, k5_numbers)=C) ) ) ) ) ) ) ) ).
fof(t27_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  (v3_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (! [E] :  (m1_lattice5(E, A, B, D) => k11_lattice5(A, B, D, E, k1_ordinal1(C))=k6_lattice5(k8_lattice5(A, C), B, k10_lattice5(k8_lattice5(A, C), B, k11_lattice5(A, B, D, E, C)), k9_lattice5(A, B, D, E, C))) ) ) ) ) ) ) ) ) ) ).
fof(t28_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v5_ordinal1(C)) )  =>  (! [D] :  (v3_ordinal1(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (! [F] :  (m1_lattice5(F, A, B, E) =>  ( (v4_ordinal1(D) &  (k9_xtuple_0(C)=D &  (! [G] :  (v3_ordinal1(G) =>  (r2_tarski(G, D) => k1_funct_1(C, G)=k11_lattice5(A, B, E, F, G)) ) ) ) )  =>  (D=k5_numbers | k11_lattice5(A, B, E, F, D)=k3_tarski(k10_xtuple_0(C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (r1_ordinal1(B, C) => r1_tarski(k8_lattice5(A, B), k8_lattice5(A, C))) ) ) ) ) ) ) ).
fof(t30_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  (v3_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (! [E] :  (m1_lattice5(E, A, B, D) =>  (v1_funct_1(k11_lattice5(A, B, D, E, C)) &  (v1_funct_2(k11_lattice5(A, B, D, E, C), k2_zfmisc_1(k8_lattice5(A, C), k8_lattice5(A, C)), u1_struct_0(B)) & m1_subset_1(k11_lattice5(A, B, D, E, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_lattice5(A, C), k8_lattice5(A, C)), u1_struct_0(B))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  (v3_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (! [E] :  (m1_lattice5(E, A, B, D) => r1_relset_1(k2_zfmisc_1(A, A), u1_struct_0(B), D, k12_lattice5(A, B, D, E, C))) ) ) ) ) ) ) ) ) ) ).
fof(t32_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  (v3_ordinal1(C) =>  (! [D] :  (v3_ordinal1(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (! [F] :  (m1_lattice5(F, A, B, E) =>  (r1_ordinal1(C, D) => r1_relset_1(k2_zfmisc_1(k8_lattice5(A, C), k8_lattice5(A, C)), u1_struct_0(B), k12_lattice5(A, B, E, F, C), k12_lattice5(A, B, E, F, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  (v3_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (v2_lattice5(D, A, B) =>  (! [E] :  (m1_lattice5(E, A, B, D) => v2_lattice5(k12_lattice5(A, B, D, E, C), k8_lattice5(A, C), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  (v3_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (v1_lattice5(D, A, B) =>  (! [E] :  (m1_lattice5(E, A, B, D) => v1_lattice5(k12_lattice5(A, B, D, E, C), k8_lattice5(A, C), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  (v3_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  ( (v1_lattice5(D, A, B) & v3_lattice5(D, A, B))  =>  (! [E] :  (m1_lattice5(E, A, B, D) =>  (r1_ordinal1(C, k7_lattice5(A, B, D)) => v3_lattice5(k12_lattice5(A, B, D, E, C), k8_lattice5(A, C), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  (v3_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), u1_struct_0(B)) &  (v1_lattice5(D, A, B) &  (v2_lattice5(D, A, B) &  (v3_lattice5(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) ) ) ) )  =>  (! [E] :  (m1_lattice5(E, A, B, D) =>  (r1_ordinal1(C, k7_lattice5(A, B, D)) =>  (v1_funct_1(k12_lattice5(A, B, D, E, C)) &  (v1_funct_2(k12_lattice5(A, B, D, E, C), k2_zfmisc_1(k8_lattice5(A, C), k8_lattice5(A, C)), u1_struct_0(B)) &  (v1_lattice5(k12_lattice5(A, B, D, E, C), k8_lattice5(A, C), B) &  (v2_lattice5(k12_lattice5(A, B, D, E, C), k8_lattice5(A, C), B) &  (v3_lattice5(k12_lattice5(A, B, D, E, C), k8_lattice5(A, C), B) & m1_subset_1(k12_lattice5(A, B, D, E, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_lattice5(A, C), k8_lattice5(A, C)), u1_struct_0(B))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  => k13_lattice5(A, B, C)=k8_lattice5(A, k7_lattice5(A, B, C))) ) ) ) ) ) ).
fof(d18_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (! [D] :  (m1_lattice5(D, A, B, C) => k14_lattice5(A, B, C, D)=k12_lattice5(A, B, C, D, k7_lattice5(A, B, C))) ) ) ) ) ) ) ) ).
fof(d19_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) &  (v1_lattice5(C, A, B) &  (v2_lattice5(C, A, B) &  (v3_lattice5(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) ) ) ) )  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(D, D), u1_struct_0(B)) &  (v1_lattice5(E, D, B) &  (v2_lattice5(E, D, B) &  (v3_lattice5(E, D, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(D, D), u1_struct_0(B))))) ) ) ) )  =>  (r2_lattice5(A, B, C, D, E) <=>  (? [F] :  (m1_lattice5(F, A, B, C) &  (D=k13_lattice5(A, B, C) & r1_funct_2(k2_zfmisc_1(D, D), u1_struct_0(B), k2_zfmisc_1(k13_lattice5(A, B, C), k13_lattice5(A, B, C)), u1_struct_0(B), E, k15_lattice5(A, B, C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) &  (v1_lattice5(C, A, B) &  (v2_lattice5(C, A, B) &  (v3_lattice5(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) ) ) ) )  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(D, D), u1_struct_0(B)) &  (v1_lattice5(E, D, B) &  (v2_lattice5(E, D, B) &  (v3_lattice5(E, D, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(D, D), u1_struct_0(B))))) ) ) ) )  =>  (r2_lattice5(A, B, C, D, E) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(B)) =>  ~ ( (r3_orders_2(B, k3_lattice5(A, B, C, F, G), k13_lattice3(B, H, I)) &  (! [J] :  (m1_subset_1(J, D) =>  (! [K] :  (m1_subset_1(K, D) =>  (! [L] :  (m1_subset_1(L, D) =>  ~ ( (k1_binop_1(E, F, J)=H &  (k3_lattice5(D, B, E, K, L)=H &  (k3_lattice5(D, B, E, J, K)=I & k1_binop_1(E, L, G)=I) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d20_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) &  (v1_lattice5(C, A, B) &  (v2_lattice5(C, A, B) &  (v3_lattice5(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (m2_lattice5(D, A, B, C) <=>  (k9_xtuple_0(D)=k4_ordinal1 &  (k1_funct_1(D, k5_numbers)=k4_tarski(A, C) &  (! [E] :  (v7_ordinal1(E) =>  (? [F] :  ( ~ (v1_xboole_0(F))  &  (? [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(F, F), u1_struct_0(B)) &  (v1_lattice5(G, F, B) &  (v2_lattice5(G, F, B) &  (v3_lattice5(G, F, B) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(F, F), u1_struct_0(B))))) ) ) ) )  &  (? [H] :  ( ~ (v1_xboole_0(H))  &  (? [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, k2_zfmisc_1(H, H), u1_struct_0(B)) &  (v1_lattice5(I, H, B) &  (v2_lattice5(I, H, B) &  (v3_lattice5(I, H, B) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(H, H), u1_struct_0(B))))) ) ) ) )  &  (r2_lattice5(F, B, G, H, I) &  (k1_funct_1(D, E)=k4_tarski(F, G) & k1_funct_1(D, k1_nat_1(E, 1))=k4_tarski(H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) &  (v1_lattice5(C, A, B) &  (v2_lattice5(C, A, B) &  (v3_lattice5(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) ) ) ) )  =>  (! [D] :  (m2_lattice5(D, A, B, C) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (r1_xxreal_0(E, F) => r1_tarski(k1_xfamily(k1_funct_1(D, E)), k1_xfamily(k1_funct_1(D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) &  (v1_lattice5(C, A, B) &  (v2_lattice5(C, A, B) &  (v3_lattice5(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) ) ) ) )  =>  (! [D] :  (m2_lattice5(D, A, B, C) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (r1_xxreal_0(E, F) => r1_tarski(k2_xfamily(k1_funct_1(D, E)), k2_xfamily(k1_funct_1(D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d21_lattice5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v1_yellow_0(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) &  (v1_lattice5(B, u1_struct_0(A), A) &  (v2_lattice5(B, u1_struct_0(A), A) &  (v3_lattice5(B, u1_struct_0(A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A))))) ) ) ) )  =>  (B=k16_lattice5(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ( ~ (C=D)  => k3_lattice5(u1_struct_0(A), A, B, C, D)=k13_lattice3(A, C, D))  &  (C=D => k3_lattice5(u1_struct_0(A), A, B, C, D)=k3_yellow_0(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_lattice5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v1_yellow_0(A) & l1_orders_2(A)) ) ) ) ) )  => v2_funct_2(k16_lattice5(A), u1_struct_0(A))) ) ).
fof(t44_lattice5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v1_yellow_0(A) & l1_orders_2(A)) ) ) ) ) )  =>  (? [B] :  ( ~ (v1_xboole_0(B))  &  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k1_lattice5(B))) &  (v19_waybel_0(C, A, k1_lattice5(B)) &  (v20_waybel_0(C, A, k1_lattice5(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_lattice5(B)))))) ) ) )  &  (v2_funct_1(C) & r1_xxreal_0(k2_lattice5(B, k1_yellow_2(A, k1_lattice5(B), C)), 3)) ) ) ) ) ) ) ).
fof(dt_k1_lattice5, axiom,  (! [A] :  (v3_orders_2(k1_lattice5(A)) &  (v4_orders_2(k1_lattice5(A)) &  (v5_orders_2(k1_lattice5(A)) & l1_orders_2(k1_lattice5(A))) ) ) ) ).
fof(dt_k2_lattice5, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v5_yellow_0(B, k1_lattice5(A)) &  (v6_yellow_0(B, k1_lattice5(A)) & m1_yellow_0(B, k1_lattice5(A))) ) )  => m1_subset_1(k2_lattice5(A, B), k4_ordinal1)) ) ).
fof(dt_k3_lattice5, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (l1_struct_0(B) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  &  (m1_subset_1(D, A) & m1_subset_1(E, A)) ) ) )  => m1_subset_1(k3_lattice5(A, B, C, D, E), u1_struct_0(B))) ) ).
fof(redefinition_k3_lattice5, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (l1_struct_0(B) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  &  (m1_subset_1(D, A) & m1_subset_1(E, A)) ) ) )  => k3_lattice5(A, B, C, D, E)=k1_binop_1(C, D, E)) ) ).
fof(dt_k4_lattice5, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) &  (v1_lattice5(C, A, B) &  (v2_lattice5(C, A, B) &  (v3_lattice5(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) ) ) ) ) ) )  =>  (v1_funct_1(k4_lattice5(A, B, C)) &  (v1_funct_2(k4_lattice5(A, B, C), u1_struct_0(B), u1_struct_0(k1_lattice5(A))) & m1_subset_1(k4_lattice5(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(k1_lattice5(A)))))) ) ) ) ).
fof(dt_k6_lattice5, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  & m1_subset_1(D, k4_zfmisc_1(A, A, u1_struct_0(B), u1_struct_0(B)))) ) )  =>  (v1_funct_1(k6_lattice5(A, B, C, D)) &  (v1_funct_2(k6_lattice5(A, B, C, D), k2_zfmisc_1(k5_lattice5(A), k5_lattice5(A)), u1_struct_0(B)) & m1_subset_1(k6_lattice5(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k5_lattice5(A), k5_lattice5(A)), u1_struct_0(B))))) ) ) ) ).
fof(dt_k7_lattice5, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) ) ) )  => v1_card_1(k7_lattice5(A, B, C))) ) ).
fof(dt_m1_lattice5, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) ) ) )  =>  (! [D] :  (m1_lattice5(D, A, B, C) =>  (v1_relat_1(D) &  (v5_relat_1(D, k4_zfmisc_1(A, A, u1_struct_0(B), u1_struct_0(B))) &  (v1_funct_1(D) & v5_ordinal1(D)) ) ) ) ) ) ) ).
fof(existence_m1_lattice5, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) ) ) )  =>  (? [D] : m1_lattice5(D, A, B, C)) ) ) ).
fof(dt_k9_lattice5, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  &  (m1_lattice5(D, A, B, C) & v3_ordinal1(E)) ) ) )  => m1_subset_1(k9_lattice5(A, B, C, D, E), k4_zfmisc_1(k8_lattice5(A, E), k8_lattice5(A, E), u1_struct_0(B), u1_struct_0(B)))) ) ).
fof(dt_k10_lattice5, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) ) )  =>  (v1_funct_1(k10_lattice5(A, B, C)) &  (v1_funct_2(k10_lattice5(A, B, C), k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(k10_lattice5(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) ) ) ) ).
fof(dt_k12_lattice5, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  &  (m1_lattice5(D, A, B, C) & v3_ordinal1(E)) ) ) )  =>  (v1_funct_1(k12_lattice5(A, B, C, D, E)) &  (v1_funct_2(k12_lattice5(A, B, C, D, E), k2_zfmisc_1(k8_lattice5(A, E), k8_lattice5(A, E)), u1_struct_0(B)) & m1_subset_1(k12_lattice5(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_lattice5(A, E), k8_lattice5(A, E)), u1_struct_0(B))))) ) ) ) ).
fof(redefinition_k12_lattice5, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  &  (m1_lattice5(D, A, B, C) & v3_ordinal1(E)) ) ) )  => k12_lattice5(A, B, C, D, E)=k11_lattice5(A, B, C, D, E)) ) ).
fof(dt_k15_lattice5, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) &  (v1_lattice5(C, A, B) &  (v2_lattice5(C, A, B) &  (v3_lattice5(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) ) ) ) )  & m1_lattice5(D, A, B, C)) ) )  =>  (v1_funct_1(k15_lattice5(A, B, C, D)) &  (v1_funct_2(k15_lattice5(A, B, C, D), k2_zfmisc_1(k13_lattice5(A, B, C), k13_lattice5(A, B, C)), u1_struct_0(B)) &  (v1_lattice5(k15_lattice5(A, B, C, D), k13_lattice5(A, B, C), B) &  (v2_lattice5(k15_lattice5(A, B, C, D), k13_lattice5(A, B, C), B) &  (v3_lattice5(k15_lattice5(A, B, C, D), k13_lattice5(A, B, C), B) & m1_subset_1(k15_lattice5(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k13_lattice5(A, B, C), k13_lattice5(A, B, C)), u1_struct_0(B))))) ) ) ) ) ) ) ).
fof(redefinition_k15_lattice5, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) &  (v1_lattice5(C, A, B) &  (v2_lattice5(C, A, B) &  (v3_lattice5(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) ) ) ) )  & m1_lattice5(D, A, B, C)) ) )  => k15_lattice5(A, B, C, D)=k14_lattice5(A, B, C, D)) ) ).
fof(dt_m2_lattice5, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) &  (v1_lattice5(C, A, B) &  (v2_lattice5(C, A, B) &  (v3_lattice5(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) ) ) ) ) ) )  =>  (! [D] :  (m2_lattice5(D, A, B, C) =>  (v1_relat_1(D) & v1_funct_1(D)) ) ) ) ) ).
fof(existence_m2_lattice5, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) &  (v1_lattice5(C, A, B) &  (v2_lattice5(C, A, B) &  (v3_lattice5(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) ) ) ) ) ) )  =>  (? [D] : m2_lattice5(D, A, B, C)) ) ) ).
fof(dt_k16_lattice5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v1_yellow_0(A) & l1_orders_2(A)) ) ) ) ) )  =>  (v1_funct_1(k16_lattice5(A)) &  (v1_funct_2(k16_lattice5(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) &  (v1_lattice5(k16_lattice5(A), u1_struct_0(A), A) &  (v2_lattice5(k16_lattice5(A), u1_struct_0(A), A) &  (v3_lattice5(k16_lattice5(A), u1_struct_0(A), A) & m1_subset_1(k16_lattice5(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ) ) ) ).
fof(t2_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  => k2_zfmisc_1(k3_tarski(A), k3_tarski(B))=k3_tarski(a_2_0_lattice5(A, B))) ) ) ) ).
fof(t3_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v6_ordinal1(A) => k2_zfmisc_1(k3_tarski(A), k3_tarski(A))=k3_tarski(a_1_0_lattice5(A))) ) ) ).
fof(d11_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (! [D] :  (v1_card_1(D) =>  (D=k7_lattice5(A, B, C) <=> r3_tarski(D, a_3_0_lattice5(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(d13_lattice5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, k4_zfmisc_1(A, A, u1_struct_0(B), u1_struct_0(B))) &  (v1_funct_1(D) & v5_ordinal1(D)) ) )  =>  (m1_lattice5(D, A, B, C) <=>  (v1_card_1(k9_xtuple_0(D)) &  (v2_funct_1(D) & k2_relset_1(k4_zfmisc_1(A, A, u1_struct_0(B), u1_struct_0(B)), D)=a_3_0_lattice5(A, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_lattice5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v1_yellow_0(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  (m2_lattice5(B, u1_struct_0(A), A, k16_lattice5(A)) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (C=k3_tarski(a_2_1_lattice5(A, B)) =>  (v1_funct_1(k3_tarski(a_2_2_lattice5(A, B))) &  (v1_funct_2(k3_tarski(a_2_2_lattice5(A, B)), k2_zfmisc_1(C, C), u1_struct_0(A)) &  (v1_lattice5(k3_tarski(a_2_2_lattice5(A, B)), C, A) &  (v2_lattice5(k3_tarski(a_2_2_lattice5(A, B)), C, A) &  (v3_lattice5(k3_tarski(a_2_2_lattice5(A, B)), C, A) & m1_subset_1(k3_tarski(a_2_2_lattice5(A, B)), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, C), u1_struct_0(A))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_lattice5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v1_yellow_0(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  (m2_lattice5(B, u1_struct_0(A), A, k16_lattice5(A)) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(C, C), u1_struct_0(A)) &  (v1_lattice5(D, C, A) &  (v2_lattice5(D, C, A) &  (v3_lattice5(D, C, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, C), u1_struct_0(A))))) ) ) ) )  =>  (! [E] :  (m1_subset_1(E, C) =>  (! [F] :  (m1_subset_1(F, C) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ~ ( (C=k3_tarski(a_2_1_lattice5(A, B)) &  (D=k3_tarski(a_2_2_lattice5(A, B)) &  (r3_orders_2(A, k3_lattice5(C, A, D, E, F), k13_lattice3(A, G, H)) &  (! [I] :  (m1_subset_1(I, C) =>  (! [J] :  (m1_subset_1(J, C) =>  (! [K] :  (m1_subset_1(K, C) =>  ~ ( (k3_lattice5(C, A, D, E, I)=G &  (k3_lattice5(C, A, D, J, K)=G &  (k3_lattice5(C, A, D, I, J)=H & k3_lattice5(C, A, D, K, F)=H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_lattice5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v1_yellow_0(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  (m2_lattice5(B, u1_struct_0(A), A, k16_lattice5(A)) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(C, C), u1_struct_0(A)) &  (v1_lattice5(D, C, A) &  (v2_lattice5(D, C, A) &  (v3_lattice5(D, C, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, C), u1_struct_0(A))))) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(k1_lattice5(C))) &  (v19_waybel_0(E, A, k1_lattice5(C)) &  (v20_waybel_0(E, A, k1_lattice5(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_lattice5(C)))))) ) ) )  =>  (! [F] :  (m1_subset_1(F, C) =>  (! [G] :  (m1_subset_1(G, C) =>  (! [H] :  ( (v1_partfun1(H, C) &  (v3_relat_2(H) &  (v8_relat_2(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(C, C)))) ) )  =>  (! [I] :  ( (v1_partfun1(I, C) &  (v3_relat_2(I) &  (v8_relat_2(I) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(C, C)))) ) )  =>  (! [J] :  (! [K] :  ~ ( (r2_funct_2(u1_struct_0(A), u1_struct_0(k1_lattice5(C)), E, k4_lattice5(C, A, D)) &  (C=k3_tarski(a_2_1_lattice5(A, B)) &  (D=k3_tarski(a_2_2_lattice5(A, B)) &  (r2_tarski(H, u1_struct_0(k1_yellow_2(A, k1_lattice5(C), E))) &  (r2_tarski(I, u1_struct_0(k1_yellow_2(A, k1_lattice5(C), E))) &  (r2_hidden(k4_tarski(J, K), k5_eqrel_1(C, H, I)) &  (! [L] :  ( ( ~ (v1_xboole_0(L))  & m2_finseq_1(L, C))  =>  ~ ( (k3_finseq_1(L)=k1_nat_1(3, 2) & r1_lattice5(C, L, J, K, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_lattice5, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  ~ (v1_xboole_0(C)) )  =>  (r2_hidden(A, a_2_0_lattice5(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, B) & m1_subset_1(E, C))  &  (A=k2_zfmisc_1(D, E) &  (r2_tarski(D, B) & r2_tarski(E, C)) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_lattice5, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (r2_hidden(A, a_1_0_lattice5(B)) <=>  (? [C] :  (m1_subset_1(C, B) &  (A=k2_zfmisc_1(C, C) & r2_tarski(C, B)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_lattice5, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( (v3_orders_2(C) &  (v4_orders_2(C) &  (v5_orders_2(C) &  (v1_lattice3(C) &  (v2_lattice3(C) &  (v1_yellow_0(C) & l1_orders_2(C)) ) ) ) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(B, B), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), u1_struct_0(C))))) ) ) )  =>  (r2_hidden(A, a_3_0_lattice5(B, C, D)) <=>  (? [E, F, G, H] :  ( (m1_subset_1(E, B) &  (m1_subset_1(F, B) &  (m1_subset_1(G, u1_struct_0(C)) & m1_subset_1(H, u1_struct_0(C))) ) )  &  (A=k5_domain_1(B, B, u1_struct_0(C), u1_struct_0(C), E, F, G, H) & r3_orders_2(C, k3_lattice5(B, C, D, E, F), k13_lattice3(C, G, H))) ) ) ) ) ) ).
fof(fraenkel_a_2_1_lattice5, axiom,  (! [A, B, C] :  ( ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  & m2_lattice5(C, u1_struct_0(B), B, k16_lattice5(B)))  =>  (r2_hidden(A, a_2_1_lattice5(B, C)) <=>  (? [D] :  (m1_subset_1(D, k4_ordinal1) & A=k1_xfamily(k1_funct_1(C, D))) ) ) ) ) ).
fof(fraenkel_a_2_2_lattice5, axiom,  (! [A, B, C] :  ( ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow_0(B) & l1_orders_2(B)) ) ) ) ) )  & m2_lattice5(C, u1_struct_0(B), B, k16_lattice5(B)))  =>  (r2_hidden(A, a_2_2_lattice5(B, C)) <=>  (? [D] :  (m1_subset_1(D, k4_ordinal1) & A=k2_xfamily(k1_funct_1(C, D))) ) ) ) ) ).
fof(rc1_lattice6, axiom,  (? [A] :  (l3_lattices(A) &  ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) & v10_lattices(A)) ) ) ) ) ) ) ) ) ) ).
fof(cc1_lattice6, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) & v10_lattices(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & v4_lattice3(A)) ) ) ) ) ).
fof(fc1_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v10_lattices(A) & l3_lattices(A)) ) )  =>  (v1_orders_2(k3_lattice3(A)) &  (v3_orders_2(k3_lattice3(A)) &  (v4_orders_2(k3_lattice3(A)) &  (v5_orders_2(k3_lattice3(A)) & v1_wellfnd1(k3_lattice3(A))) ) ) ) ) ) ).
fof(rc2_lattice6, axiom,  (? [A] :  (l3_lattices(A) &  ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v10_lattices(A) &  (v13_lattices(A) &  (v14_lattices(A) &  (v4_lattice3(A) & v1_lattice6(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_lattice6, axiom,  (? [A] :  (l3_lattices(A) &  ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v10_lattices(A) &  (v13_lattices(A) &  (v14_lattices(A) &  (v4_lattice3(A) & v2_lattice6(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc2_lattice6, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) & v10_lattices(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & v1_lattice6(A)) ) ) ) ) ).
fof(cc3_lattice6, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) & v10_lattices(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & v2_lattice6(A)) ) ) ) ) ).
fof(rc4_lattice6, axiom,  (? [A] :  (l3_lattices(A) &  ( ~ (v2_struct_0(A))  &  (v13_struct_0(A, 1) &  (v3_lattices(A) &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) & v10_lattices(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc5_lattice6, axiom,  (? [A] :  (l3_lattices(A) &  ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v10_lattices(A) &  (v4_lattice3(A) & v7_lattice6(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc2_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v2_lattice6(A) & l3_lattices(A)) ) ) )  => v9_lattice6(k5_lattice6(A), A)) ) ).
fof(fc3_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v1_lattice6(A) & l3_lattices(A)) ) ) )  => v8_lattice6(k6_lattice6(A), A)) ) ).
fof(d3_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (v1_lattice6(A) <=> v1_wellfnd1(k3_lattice3(A))) ) ) ).
fof(d4_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (v2_lattice6(A) <=> v1_wellfnd1(k7_lattice3(k3_lattice3(A)))) ) ) ).
fof(t1_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (v1_lattice6(A) <=> v2_lattice6(k1_lattice2(A))) ) ) ).
fof(d5_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_lattice6(A, B, C) <=>  ( ~ (B=C)  &  (r3_lattices(A, C, B) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r3_lattices(A, C, D) &  (r3_lattices(A, D, B) &  ( ~ (D=B)  &  ~ (D=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ~ (C=D)  =>  ( ( (r1_lattice6(A, C, B) & r1_lattice6(A, D, B))  => B=k4_lattices(A, D, C))  &  ( (r1_lattice6(A, B, C) & r1_lattice6(A, B, D))  => B=k3_lattices(A, D, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v1_lattice6(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r3_lattices(A, B, C) &  ( ~ (B=C)  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r3_lattices(A, D, C) & r1_lattice6(A, D, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v2_lattice6(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r3_lattices(A, C, B) &  ( ~ (B=C)  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r3_lattices(A, C, D) & r1_lattice6(A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v14_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ (r1_lattice6(A, B, k6_lattices(A))) ) ) ) ) ).
fof(t6_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v14_lattices(A) &  (v1_lattice6(A) & l3_lattices(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (B=k6_lattices(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ (r1_lattice6(A, C, B)) ) ) ) ) ) ) ) ).
fof(t7_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ (r1_lattice6(A, k5_lattices(A), B)) ) ) ) ) ).
fof(t8_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) &  (v2_lattice6(A) & l3_lattices(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (B=k5_lattices(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ (r1_lattice6(A, B, C)) ) ) ) ) ) ) ) ).
fof(d8_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v3_lattice6(B, A) <=>  ~ (k3_lattice6(A, B)=B) ) ) ) ) ) ).
fof(d9_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v4_lattice6(B, A) <=>  ~ (k4_lattice6(A, B)=B) ) ) ) ) ) ).
fof(t9_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (r3_lattices(A, B, k3_lattice6(A, B)) & r3_lattices(A, k4_lattice6(A, B), B)) ) ) ) ) ).
fof(t10_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (k3_lattice6(A, k6_lattices(A))=k6_lattices(A) & v2_waybel_6(k4_lattice3(A, k6_lattices(A)), k3_lattice3(A))) ) ) ).
fof(t11_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (k4_lattice6(A, k5_lattices(A))=k5_lattices(A) & v3_waybel_6(k4_lattice3(A, k5_lattices(A)), k3_lattice3(A))) ) ) ).
fof(t12_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v3_lattice6(B, A) =>  (r1_lattice6(A, k3_lattice6(A, B), B) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_lattice6(A, C, B) => C=k3_lattice6(A, B)) ) ) ) ) ) ) ) ) ).
fof(t13_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v4_lattice6(B, A) =>  (r1_lattice6(A, B, k4_lattice6(A, B)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_lattice6(A, B, C) => C=k4_lattice6(A, B)) ) ) ) ) ) ) ) ) ).
fof(t14_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v1_lattice6(A) & l3_lattices(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v3_lattice6(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (r1_lattice6(A, C, B) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_lattice6(A, D, B) => D=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v2_lattice6(A) & l3_lattices(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v4_lattice6(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (r1_lattice6(A, B, C) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_lattice6(A, B, D) => D=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v3_lattice6(B, A) => v2_waybel_6(k4_lattice3(A, B), k3_lattice3(A))) ) ) ) ) ).
fof(t17_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v1_lattice6(A) & l3_lattices(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (B=k6_lattices(A))  =>  (v3_lattice6(B, A) <=> v2_waybel_6(k4_lattice3(A, B), k3_lattice3(A))) ) ) ) ) ) ).
fof(t18_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v4_lattice6(B, A) => v3_waybel_6(k4_lattice3(A, B), k3_lattice3(A))) ) ) ) ) ).
fof(t19_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v2_lattice6(A) & l3_lattices(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (B=k5_lattices(A))  =>  (v4_lattice6(B, A) <=> v3_waybel_6(k4_lattice3(A, B), k3_lattice3(A))) ) ) ) ) ) ).
fof(t20_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v10_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ ( ( ~ (B=k5_lattices(A))  &  ( ~ (B=k6_lattices(A))  &  ~ ( ( (v3_lattice6(B, A) => v2_waybel_6(k4_lattice3(A, B), k3_lattice3(A)))  &  ( (v2_waybel_6(k4_lattice3(A, B), k3_lattice3(A)) => v3_lattice6(B, A))  &  ( (v4_lattice6(B, A) => v3_waybel_6(k4_lattice3(A, B), k3_lattice3(A)))  &  (v3_waybel_6(k4_lattice3(A, B), k3_lattice3(A)) => v4_lattice6(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v5_lattice6(B, A) <=> r1_lattice6(A, B, k5_lattices(A))) ) ) ) ) ).
fof(d11_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v6_lattice6(B, A) <=> r1_lattice6(A, k6_lattices(A), B)) ) ) ) ) ).
fof(t21_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v5_lattice6(B, A) => v4_lattice6(B, A)) ) ) ) ) ).
fof(t22_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v6_lattice6(B, A) => v3_lattice6(B, A)) ) ) ) ) ).
fof(d12_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (v7_lattice6(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, C) => v5_lattice6(D, A)) ) )  & B=k15_lattice3(A, C)) ) ) ) ) ) ) ) ).
fof(d13_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v8_lattice6(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) & C=k15_lattice3(A, D)) ) ) ) ) ) ) ) ) ).
fof(d14_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v9_lattice6(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) & C=k16_lattice3(A, D)) ) ) ) ) ) ) ) ) ).
fof(t25_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v9_lattice6(B, A) <=> v4_waybel_6(k1_lattice6(A, B), k3_lattice3(A))) ) ) ) ) ).
fof(t26_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v8_lattice6(B, A) => r1_tarski(k6_lattice6(A), B)) ) ) ) ) ).
fof(t27_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v9_lattice6(B, A) => r1_tarski(k5_lattice6(A), B)) ) ) ) ) ).
fof(dt_k1_lattice6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k1_lattice6(A, B), k1_zfmisc_1(u1_struct_0(k3_lattice3(A))))) ) ).
fof(dt_k2_lattice6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_lattice3(A)))))  => m1_subset_1(k2_lattice6(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k3_lattice6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k3_lattice6(A, B), u1_struct_0(A))) ) ).
fof(dt_k4_lattice6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k4_lattice6(A, B), u1_struct_0(A))) ) ).
fof(dt_k5_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  => m1_subset_1(k5_lattice6(A), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k6_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  => m1_subset_1(k6_lattice6(A), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(d1_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k1_lattice6(A, B)=a_2_0_lattice6(A, B)) ) ) ) ).
fof(d2_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_lattice3(A)))) => k2_lattice6(A, B)=a_2_1_lattice6(A, B)) ) ) ) ).
fof(d6_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k3_lattice6(A, B)=k16_lattice3(A, a_2_2_lattice6(A, B))) ) ) ) ).
fof(d7_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k4_lattice6(A, B)=k15_lattice3(A, a_2_3_lattice6(A, B))) ) ) ) ).
fof(t23_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v8_lattice6(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => C=k15_lattice3(A, a_3_0_lattice6(A, B, C))) ) ) ) ) ) ) ).
fof(t24_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v9_lattice6(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => C=k16_lattice3(A, a_3_1_lattice6(A, B, C))) ) ) ) ) ) ) ).
fof(d15_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  => k5_lattice6(A)=a_1_0_lattice6(A)) ) ).
fof(d16_lattice6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  => k6_lattice6(A)=a_1_1_lattice6(A)) ) ).
fof(fraenkel_a_2_0_lattice6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_0_lattice6(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=k4_lattice3(B, D) & r2_tarski(D, C)) ) ) ) ) ) ).
fof(fraenkel_a_2_1_lattice6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_lattice3(B)))))  =>  (r2_hidden(A, a_2_1_lattice6(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(k3_lattice3(B))) &  (A=k5_lattice3(B, D) & r2_tarski(D, C)) ) ) ) ) ) ).
fof(fraenkel_a_2_2_lattice6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v4_lattice3(B) & l3_lattices(B)) ) )  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_2_2_lattice6(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D &  (r3_lattices(B, C, D) &  ~ (D=C) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_3_lattice6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v4_lattice3(B) & l3_lattices(B)) ) )  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_2_3_lattice6(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D &  (r3_lattices(B, D, C) &  ~ (D=C) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_lattice6, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v4_lattice3(B) & l3_lattices(B)) ) )  &  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_0_lattice6(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E &  (r2_tarski(E, C) & r3_lattices(B, E, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_lattice6, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v4_lattice3(B) & l3_lattices(B)) ) )  &  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_1_lattice6(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E &  (r2_tarski(E, C) & r3_lattices(B, D, E)) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_lattice6, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v4_lattice3(B) & l3_lattices(B)) ) )  =>  (r2_hidden(A, a_1_0_lattice6(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(B)) &  (A=C & v3_lattice6(C, B)) ) ) ) ) ) ).
fof(fraenkel_a_1_1_lattice6, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v4_lattice3(B) & l3_lattices(B)) ) )  =>  (r2_hidden(A, a_1_1_lattice6(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(B)) &  (A=C & v4_lattice6(C, B)) ) ) ) ) ) ).
fof(rc1_lattice7, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  & v6_orders_2(B, A)) ) ) ) ) ).
fof(rc2_lattice7, axiom,  (? [A] :  (l1_orders_2(A) &  ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v2_waybel_1(A) &  (v1_lattice3(A) & v2_lattice3(A)) ) ) ) ) ) ) ) ) ) ).
fof(rc3_lattice7, axiom,  (? [A] :  (m2_lattice7(A) &  ~ (v1_xboole_0(A)) ) ) ).
fof(fc1_lattice7, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_lattice7(A))  =>  (v1_orders_2(k1_yellow_1(A)) &  (v2_waybel_1(k1_yellow_1(A)) &  (v1_lattice3(k1_yellow_1(A)) & v2_lattice3(k1_yellow_1(A))) ) ) ) ) ).
fof(d1_lattice7, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_lattice7(A, B, C) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, B) => r2_tarski(D, C)) ) ) ) ) ) ) ) ) ) ).
fof(d2_lattice7, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_orders_2(A, B, C) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v6_orders_2(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (m1_lattice7(D, A, B, C) <=>  (r2_tarski(B, D) &  (r2_tarski(C, D) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(E, D) =>  (r3_orders_2(A, B, E) & r3_orders_2(A, E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_lattice7, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_orders_2(A, B, C) => m1_lattice7(k7_domain_1(u1_struct_0(A), B, C), A, B, C)) ) ) ) ) ) ) ).
fof(d3_lattice7, axiom,  (! [A] :  ( (v8_struct_0(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (C=k1_lattice7(A, B) <=>  ( (? [D] :  (m1_lattice7(D, A, k3_yellow_0(A), B) & C=k4_card_1(D)) )  &  (! [D] :  (m1_lattice7(D, A, k3_yellow_0(A), B) => r1_xxreal_0(k4_card_1(D), C)) ) ) ) ) ) ) ) ) ) ).
fof(t2_lattice7, axiom,  (! [A] :  ( (v8_struct_0(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r2_orders_2(A, B, C) & r1_xxreal_0(k1_lattice7(A, C), k1_lattice7(A, B))) ) ) ) ) ) ) ) ).
fof(t3_lattice7, axiom,  (! [A] :  ( (v8_struct_0(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  ( (v6_orders_2(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  =>  (r2_orders_2(A, C, D) <=>  ~ (r1_xxreal_0(k1_lattice7(A, D), k1_lattice7(A, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_lattice7, axiom,  (! [A] :  ( (v8_struct_0(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  ( (v6_orders_2(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  =>  (C=D <=> k1_lattice7(A, C)=k1_lattice7(A, D)) ) ) ) ) ) ) ) ) ) ).
fof(t5_lattice7, axiom,  (! [A] :  ( (v8_struct_0(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  ( (v6_orders_2(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  =>  (r3_orders_2(A, C, D) <=> r1_xxreal_0(k1_lattice7(A, C), k1_lattice7(A, D))) ) ) ) ) ) ) ) ) ) ).
fof(t6_lattice7, axiom,  (! [A] :  ( (v8_struct_0(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k1_lattice7(A, B)=1 <=> B=k3_yellow_0(A)) ) ) ) ) ).
fof(t7_lattice7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_xxreal_0(1, k1_lattice7(A, B))) ) ) ) ).
fof(d4_lattice7, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_lattice7(A, B, C) <=>  (r2_orders_2(A, B, C) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_orders_2(A, B, D) & r2_orders_2(A, D, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_lattice7, axiom,  (! [A] :  ( (v8_struct_0(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (r2_tarski(C, B) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(D, B) & r2_orders_2(A, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_lattice7, axiom,  (! [A] :  ( (v8_struct_0(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v6_orders_2(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (C=k2_lattice7(A, B) <=>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, B) => r3_orders_2(A, D, C)) ) )  & r2_tarski(C, B)) ) ) ) ) ) ) ) ).
fof(t9_lattice7, axiom,  (! [A] :  ( (v8_struct_0(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ ( ( ~ (B=k3_yellow_0(A))  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ (r2_lattice7(A, C, B)) ) ) ) ) ) ) ) ) ).
fof(t10_lattice7, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (r2_tarski(B, k3_lattice7(A)) <=>  ( ~ (B=k3_yellow_0(A))  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (B=k13_lattice3(A, C, D) &  ( ~ (B=C)  &  ~ (B=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_lattice7, axiom,  (! [A] :  ( (v8_struct_0(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v2_waybel_1(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ ( (r2_tarski(B, k3_lattice7(A)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r2_orders_2(A, C, B) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_orders_2(A, D, B) => r3_orders_2(A, D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_lattice7, axiom,  (! [A] :  ( (v8_struct_0(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v2_waybel_1(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_yellow_0(A, k9_subset_1(u1_struct_0(A), k5_waybel_0(A, B), k3_lattice7(A)))=B) ) ) ) ).
fof(t13_lattice7, axiom,  (! [A] :  ( (v8_struct_0(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v2_waybel_1(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) ) ) )  =>  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k1_yellow_1(k4_lattice7(k5_yellow_0(A, k3_lattice7(A)))))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_yellow_1(k4_lattice7(k5_yellow_0(A, k3_lattice7(A))))))))) )  &  (v23_waybel_0(B, A, k1_yellow_1(k4_lattice7(k5_yellow_0(A, k3_lattice7(A))))) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(k1_yellow_1(k4_lattice7(k5_yellow_0(A, k3_lattice7(A))))), B, C)=k9_subset_1(u1_struct_0(A), k5_waybel_0(A, C), k3_lattice7(A))) ) ) ) ) ) ) ).
fof(t14_lattice7, axiom,  (! [A] :  ( (v8_struct_0(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v2_waybel_1(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) ) ) )  => r5_waybel_1(A, k1_yellow_1(k4_lattice7(k5_yellow_0(A, k3_lattice7(A)))))) ) ).
fof(d8_lattice7, axiom,  (! [A] :  (m2_lattice7(A) <=> r1_cohsp_1(A, A)) ) ).
fof(t15_lattice7, axiom,  (! [A] :  ( (v8_struct_0(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) ) )  => m2_lattice7(k4_lattice7(k5_yellow_0(A, k3_lattice7(A))))) ) ).
fof(t16_lattice7, axiom,  (! [A] :  ( (v8_struct_0(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) ) )  =>  (v2_waybel_1(A) <=>  (? [B] :  ( ( ~ (v1_xboole_0(B))  & m2_lattice7(B))  & r5_waybel_1(A, k1_yellow_1(B))) ) ) ) ) ).
fof(s1_lattice7, axiom,  ( (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s1_lattice7)) =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(f1_s1_lattice7)) =>  (r2_orders_2(f1_s1_lattice7, B, A) => p1_s1_lattice7(B)) ) )  => p1_s1_lattice7(A)) ) )  =>  (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s1_lattice7)) => p1_s1_lattice7(A)) ) ) ).
fof(reflexivity_r1_lattice7, axiom,  (! [A, B, C] :  ( (l1_struct_0(A) &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => r1_lattice7(A, B, B)) ) ).
fof(redefinition_r1_lattice7, axiom,  (! [A, B, C] :  ( (l1_struct_0(A) &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (r1_lattice7(A, B, C) <=> r1_tarski(B, C)) ) ) ).
fof(dt_m1_lattice7, axiom,  (! [A, B, C] :  ( ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (! [D] :  (m1_lattice7(D, A, B, C) =>  ( ~ (v1_xboole_0(D))  &  (v6_orders_2(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ).
fof(existence_m1_lattice7, axiom,  (! [A, B, C] :  ( ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (? [D] : m1_lattice7(D, A, B, C)) ) ) ).
fof(dt_k1_lattice7, axiom,  (! [A, B] :  ( ( (v8_struct_0(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k1_lattice7(A, B), k4_ordinal1)) ) ).
fof(dt_f1_s1_lattice7, axiom,  (v8_struct_0(f1_s1_lattice7) &  (v3_orders_2(f1_s1_lattice7) &  (v4_orders_2(f1_s1_lattice7) &  (v5_orders_2(f1_s1_lattice7) &  (v1_lattice3(f1_s1_lattice7) &  (v2_lattice3(f1_s1_lattice7) & l1_orders_2(f1_s1_lattice7)) ) ) ) ) ) ).
fof(dt_k2_lattice7, axiom,  (! [A, B] :  ( ( (v8_struct_0(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) ) )  &  ( ~ (v1_xboole_0(B))  &  (v6_orders_2(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  => m1_subset_1(k2_lattice7(A, B), u1_struct_0(A))) ) ).
fof(dt_k3_lattice7, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) )  => m1_subset_1(k3_lattice7(A), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k4_lattice7, axiom,  (! [A] :  (l1_orders_2(A) =>  ~ (v1_xboole_0(k4_lattice7(A))) ) ) ).
fof(existence_m2_lattice7, axiom,  (? [A] : m2_lattice7(A)) ).
fof(d6_lattice7, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) )  => k3_lattice7(A)=a_1_0_lattice7(A)) ) ).
fof(d7_lattice7, axiom,  (! [A] :  (l1_orders_2(A) => k4_lattice7(A)=a_1_1_lattice7(A)) ) ).
fof(fraenkel_a_1_0_lattice7, axiom,  (! [A, B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) & l1_orders_2(B)) ) ) ) )  =>  (r2_hidden(A, a_1_0_lattice7(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(B)) &  (A=C &  ( ~ (C=k3_yellow_0(B))  &  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  ~ ( (C=k13_lattice3(B, D, E) &  ( ~ (C=D)  &  ~ (C=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_1_lattice7, axiom,  (! [A, B] :  (l1_orders_2(B) =>  (r2_hidden(A, a_1_1_lattice7(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) &  (A=C & v12_waybel_0(C, B)) ) ) ) ) ) ).
fof(rc1_lattice8, axiom,  (? [A] :  (l1_orders_2(A) &  ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_yellow_0(A) &  (v2_waybel_1(A) &  (v1_lattice3(A) & v2_lattice3(A)) ) ) ) ) ) ) ) ) ) ).
fof(rc2_lattice8, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  (? [B] :  (m1_yellow_0(B, k1_lattice5(A)) &  ( ~ (v2_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v4_yellow_0(B, k1_lattice5(A)) &  (v5_yellow_0(B, k1_lattice5(A)) &  (v6_yellow_0(B, k1_lattice5(A)) & v1_lattice8(B)) ) ) ) ) ) ) ) ) ).
fof(fc1_lattice8, axiom,  (! [A] :  ~ (v1_xboole_0(k1_lattice8(A))) ) ).
fof(fc2_lattice8, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & v3_ordinal1(B))  =>  ~ (v1_xboole_0(k3_lattice8(A, B))) ) ) ).
fof(fc3_lattice8, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(B) &  (v1_lattice3(B) &  (v2_lattice3(B) & l1_orders_2(B)) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) ) ) )  =>  ~ (v1_xboole_0(k7_lattice8(A, B, C))) ) ) ).
fof(d1_lattice8, axiom,  (! [A] :  (l1_orders_2(A) =>  (v1_lattice8(A) <=>  (? [B] :  ( ~ (v1_xboole_0(B))  &  ( (! [C] :  (r2_hidden(C, u1_struct_0(A)) =>  (v1_partfun1(C, B) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) ) ) )  &  (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (! [D] :  ( (v1_partfun1(D, B) &  (v3_relat_2(D) &  (v8_relat_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  =>  (! [E] :  ( (v1_partfun1(E, B) &  (v3_relat_2(E) &  (v8_relat_2(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  =>  (! [F] :  (! [G] :  ~ ( (r2_tarski(D, u1_struct_0(A)) &  (r2_tarski(E, u1_struct_0(A)) &  (r2_hidden(k4_tarski(F, G), k5_eqrel_1(B, D, E)) &  (! [H] :  ( ( ~ (v1_xboole_0(H))  & m2_finseq_1(H, B))  =>  ~ ( (k3_finseq_1(H)=C & r1_lattice5(B, H, F, G, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_lattice8, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_yellow_0(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (r1_lattice8(A, B) <=>  (? [C] :  ( ~ (v1_zfmisc_1(C))  &  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(k1_lattice5(C))) &  (v19_waybel_0(D, A, k1_lattice5(C)) &  (v20_waybel_0(D, A, k1_lattice5(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_lattice5(C)))))) ) ) )  &  (v2_funct_1(D) &  (v1_lattice8(k1_yellow_2(A, k1_lattice5(C), D)) &  ( (? [E] :  ( (v1_partfun1(E, C) &  (v3_relat_2(E) &  (v8_relat_2(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, C)))) ) )  &  (r2_tarski(E, u1_struct_0(k1_yellow_2(A, k1_lattice5(C), D))) &  ~ (E=k6_partfun1(C)) ) ) )  & r1_xxreal_0(k2_lattice5(C, k1_yellow_2(A, k1_lattice5(C), D)), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_lattice8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(B) &  (v1_lattice3(B) &  (v2_lattice3(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) &  (v1_lattice5(C, A, B) &  (v2_lattice5(C, A, B) &  (v3_lattice5(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) ) ) ) )  => r1_ordinal1(k1_ordinal1(k1_xboole_0), k7_lattice5(A, B, C))) ) ) ) ) ) ).
fof(t2_lattice8, axiom,  (! [A] :  ( (v7_struct_0(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) )  => v1_yellow11(A)) ) ).
fof(t3_lattice8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v5_yellow_0(B, k1_lattice5(A)) &  (v6_yellow_0(B, k1_lattice5(A)) & m1_yellow_0(B, k1_lattice5(A))) ) )  =>  ~ ( ( ~ (v7_struct_0(B))  &  (! [C] :  ( (v1_partfun1(C, A) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  ~ ( (r2_tarski(C, u1_struct_0(B)) &  ~ (C=k6_partfun1(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_lattice8, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_yellow_0(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(B) &  (v1_lattice3(B) &  (v2_lattice3(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ( (v17_waybel_0(C, A, B) & v18_waybel_0(C, A, B))  =>  (v19_waybel_0(C, A, B) & v20_waybel_0(C, A, B)) ) ) ) ) ) ) ) ).
fof(t5_lattice8, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_yellow_0(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(B) &  (v1_lattice3(B) &  (v2_lattice3(B) & l1_orders_2(B)) ) ) ) ) )  =>  ( (r5_waybel_1(A, B) & v1_yellow11(A))  => v1_yellow11(B)) ) ) ) ) ).
fof(t6_lattice8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_yellow_0(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) & l1_orders_2(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v5_orders_3(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  => v1_yellow_0(k1_yellow_2(A, B, C))) ) ) ) ) ) ).
fof(t7_lattice8, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_yellow_0(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(k1_lattice5(D))) &  (v19_waybel_0(E, A, k1_lattice5(D)) &  (v20_waybel_0(E, A, k1_lattice5(D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_lattice5(D)))))) ) ) )  =>  ( (v2_funct_1(E) & r3_orders_2(k1_yellow_2(A, k1_lattice5(D), E), k3_funct_2(u1_struct_0(A), u1_struct_0(k1_yellow_2(A, k1_lattice5(D), E)), k2_waybel_1(A, k1_lattice5(D), E), B), k3_funct_2(u1_struct_0(A), u1_struct_0(k1_yellow_2(A, k1_lattice5(D), E)), k2_waybel_1(A, k1_lattice5(D), E), C)))  => r3_orders_2(A, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_lattice8, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v4_yellow_0(B, k1_lattice5(A)) &  (v5_yellow_0(B, k1_lattice5(A)) &  (v6_yellow_0(B, k1_lattice5(A)) &  (v1_lattice8(B) & m1_yellow_0(B, k1_lattice5(A))) ) ) ) )  =>  (! [C] :  ( (v1_partfun1(C, A) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  ( (r2_tarski(C, u1_struct_0(B)) & r1_xxreal_0(k2_lattice5(A, B), 2))  =>  (C=k6_partfun1(A) | v1_yellow11(B)) ) ) ) ) ) ) ) ).
fof(t9_lattice8, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_yellow_0(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) ) )  =>  (r1_lattice8(A, 2) => v1_yellow11(A)) ) ) ).
fof(d3_lattice8, axiom,  (! [A] : k1_lattice8(A)=k2_xboole_0(A, k2_tarski(k1_tarski(A), k1_tarski(k1_tarski(A))))) ).
fof(d4_lattice8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(B) &  (v1_lattice3(B) &  (v2_lattice3(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (! [D] :  (m1_subset_1(D, k4_zfmisc_1(A, A, u1_struct_0(B), u1_struct_0(B))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(k1_lattice8(A), k1_lattice8(A)), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_lattice8(A), k1_lattice8(A)), u1_struct_0(B))))) )  =>  (E=k2_lattice8(A, B, C, D) <=>  ( (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) => k1_binop_1(E, F, G)=k3_lattice5(A, B, C, F, G)) ) ) )  &  (k1_binop_1(E, k1_tarski(A), k1_tarski(A))=k3_yellow_0(B) &  (k1_binop_1(E, k1_tarski(k1_tarski(A)), k1_tarski(k1_tarski(A)))=k3_yellow_0(B) &  (k1_binop_1(E, k1_tarski(A), k1_tarski(k1_tarski(A)))=k12_lattice3(B, k13_lattice3(B, k3_lattice5(A, B, C, k4_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D), k5_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D)), k6_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D)), k7_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D)) &  (k1_binop_1(E, k1_tarski(k1_tarski(A)), k1_tarski(A))=k12_lattice3(B, k13_lattice3(B, k3_lattice5(A, B, C, k4_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D), k5_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D)), k6_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D)), k7_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D)) &  (! [F] :  (m1_subset_1(F, A) =>  (k1_binop_1(E, F, k1_tarski(A))=k13_lattice3(B, k3_lattice5(A, B, C, F, k4_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D)), k6_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D)) &  (k1_binop_1(E, k1_tarski(A), F)=k13_lattice3(B, k3_lattice5(A, B, C, F, k4_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D)), k6_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D)) &  (k1_binop_1(E, F, k1_tarski(k1_tarski(A)))=k13_lattice3(B, k3_lattice5(A, B, C, F, k5_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D)), k6_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D)) & k1_binop_1(E, k1_tarski(k1_tarski(A)), F)=k13_lattice3(B, k3_lattice5(A, B, C, F, k5_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D)), k6_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_lattice8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(B) &  (v1_lattice3(B) &  (v2_lattice3(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (v2_lattice5(C, A, B) =>  (! [D] :  (m1_subset_1(D, k4_zfmisc_1(A, A, u1_struct_0(B), u1_struct_0(B))) => v2_lattice5(k2_lattice8(A, B, C, D), k1_lattice8(A), B)) ) ) ) ) ) ) ) ) ).
fof(t11_lattice8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(B) &  (v1_lattice3(B) &  (v2_lattice3(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (v1_lattice5(C, A, B) =>  (! [D] :  (m1_subset_1(D, k4_zfmisc_1(A, A, u1_struct_0(B), u1_struct_0(B))) => v1_lattice5(k2_lattice8(A, B, C, D), k1_lattice8(A), B)) ) ) ) ) ) ) ) ) ).
fof(t12_lattice8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(B) &  (v1_lattice3(B) &  (v2_lattice3(B) & l1_orders_2(B)) ) ) ) ) )  =>  (v1_yellow11(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  ( (v1_lattice5(C, A, B) & v3_lattice5(C, A, B))  =>  (! [D] :  (m1_subset_1(D, k4_zfmisc_1(A, A, u1_struct_0(B), u1_struct_0(B))) =>  (r3_orders_2(B, k3_lattice5(A, B, C, k4_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D), k5_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D)), k13_lattice3(B, k6_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D), k7_mcart_1(A, A, u1_struct_0(B), u1_struct_0(B), D))) => v3_lattice5(k2_lattice8(A, B, C, D), k1_lattice8(A), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_lattice8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(B) &  (v1_lattice3(B) &  (v2_lattice3(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (! [D] :  (m1_subset_1(D, k4_zfmisc_1(A, A, u1_struct_0(B), u1_struct_0(B))) => r1_relset_1(k2_zfmisc_1(A, A), u1_struct_0(B), C, k2_lattice8(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(d5_lattice8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (C=k3_lattice8(A, B) <=>  (? [D] :  ( (v1_relat_1(D) &  (v5_ordinal1(D) & v1_funct_1(D)) )  &  (C=k1_ordinal2(D) &  (k9_xtuple_0(D)=k1_ordinal1(B) &  (k1_funct_1(D, k5_numbers)=A &  ( (! [E] :  (v3_ordinal1(E) =>  (r2_tarski(k1_ordinal1(E), k1_ordinal1(B)) => k1_funct_1(D, k1_ordinal1(E))=k1_lattice8(k1_funct_1(D, E))) ) )  &  (! [E] :  (v3_ordinal1(E) =>  ( (r2_tarski(E, k1_ordinal1(B)) & v4_ordinal1(E))  =>  (E=k5_numbers | k1_funct_1(D, E)=k3_tarski(k2_relset_1(k10_xtuple_0(D), k5_relat_1(D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_lattice8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k3_lattice8(A, k5_numbers)=A) ) ).
fof(t15_lattice8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v3_ordinal1(B) => k3_lattice8(A, k1_ordinal1(B))=k1_lattice8(k3_lattice8(A, B))) ) ) ) ).
fof(t16_lattice8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) & v1_funct_1(C)) )  =>  ( (v4_ordinal1(B) &  (k9_xtuple_0(C)=B &  (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(D, B) => k1_funct_1(C, D)=k3_lattice8(A, D)) ) ) ) )  =>  (B=k5_numbers | k3_lattice8(A, B)=k3_tarski(k10_xtuple_0(C))) ) ) ) ) ) ) ) ).
fof(t17_lattice8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v3_ordinal1(B) => r1_tarski(A, k3_lattice8(A, B))) ) ) ) ).
fof(d6_lattice8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(B) &  (v1_lattice3(B) &  (v2_lattice3(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (! [D] :  (m1_lattice5(D, A, B, C) =>  (! [E] :  (v3_ordinal1(E) =>  (r2_tarski(E, k9_xtuple_0(D)) => k4_lattice8(A, B, C, D, E)=k1_funct_1(D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_lattice8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(B) &  (v1_lattice3(B) &  (v2_lattice3(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (! [D] :  (m1_lattice5(D, A, B, C) =>  (! [E] :  (v3_ordinal1(E) =>  (! [F] :  (F=k5_lattice8(A, B, C, D, E) <=>  (? [G] :  ( (v1_relat_1(G) &  (v5_ordinal1(G) & v1_funct_1(G)) )  &  (F=k1_ordinal2(G) &  (k9_xtuple_0(G)=k1_ordinal1(E) &  (k1_funct_1(G, k5_numbers)=C &  ( (! [H] :  (v3_ordinal1(H) =>  (r2_tarski(k1_ordinal1(H), k1_ordinal1(E)) => k1_funct_1(G, k1_ordinal1(H))=k2_lattice8(k3_lattice8(A, H), B, k10_lattice5(k3_lattice8(A, H), B, k1_funct_1(G, H)), k4_lattice8(A, B, C, D, H))) ) )  &  (! [H] :  (v3_ordinal1(H) =>  ( (r2_tarski(H, k1_ordinal1(E)) & v4_ordinal1(H))  =>  (H=k5_numbers | k1_funct_1(G, H)=k3_tarski(k2_relset_1(k10_xtuple_0(G), k5_relat_1(G, H)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_lattice8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(B) &  (v1_lattice3(B) &  (v2_lattice3(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (! [D] :  (m1_lattice5(D, A, B, C) => k5_lattice8(A, B, C, D, k5_numbers)=C) ) ) ) ) ) ) ) ).
fof(t19_lattice8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(B) &  (v1_lattice3(B) &  (v2_lattice3(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (! [D] :  (m1_lattice5(D, A, B, C) =>  (! [E] :  (v3_ordinal1(E) => k5_lattice8(A, B, C, D, k1_ordinal1(E))=k2_lattice8(k3_lattice8(A, E), B, k10_lattice5(k3_lattice8(A, E), B, k5_lattice8(A, B, C, D, E)), k4_lattice8(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t20_lattice8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(B) &  (v1_lattice3(B) &  (v2_lattice3(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (! [D] :  (m1_lattice5(D, A, B, C) =>  (! [E] :  ( (v1_relat_1(E) &  (v5_ordinal1(E) & v1_funct_1(E)) )  =>  (! [F] :  (v3_ordinal1(F) =>  ( (v4_ordinal1(F) &  (k9_xtuple_0(E)=F &  (! [G] :  (v3_ordinal1(G) =>  (r2_tarski(G, F) => k1_funct_1(E, G)=k5_lattice8(A, B, C, D, G)) ) ) ) )  =>  (F=k5_numbers | k5_lattice8(A, B, C, D, F)=k3_tarski(k10_xtuple_0(E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_lattice8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (! [D] :  (v3_ordinal1(D) =>  (r1_ordinal1(C, D) => r1_tarski(k3_lattice8(A, C), k3_lattice8(A, D))) ) ) ) ) ) ) ) ) ).
fof(t22_lattice8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(B) &  (v1_lattice3(B) &  (v2_lattice3(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (! [D] :  (m1_lattice5(D, A, B, C) =>  (! [E] :  (v3_ordinal1(E) =>  (v1_funct_1(k5_lattice8(A, B, C, D, E)) &  (v1_funct_2(k5_lattice8(A, B, C, D, E), k2_zfmisc_1(k3_lattice8(A, E), k3_lattice8(A, E)), u1_struct_0(B)) & m1_subset_1(k5_lattice8(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_lattice8(A, E), k3_lattice8(A, E)), u1_struct_0(B))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_lattice8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(B) &  (v1_lattice3(B) &  (v2_lattice3(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (! [D] :  (m1_lattice5(D, A, B, C) =>  (! [E] :  (v3_ordinal1(E) => r1_relset_1(k2_zfmisc_1(A, A), u1_struct_0(B), C, k6_lattice8(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t24_lattice8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(B) &  (v1_lattice3(B) &  (v2_lattice3(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (! [D] :  (v3_ordinal1(D) =>  (! [E] :  (v3_ordinal1(E) =>  (! [F] :  (m1_lattice5(F, A, B, C) =>  (r1_ordinal1(D, E) => r1_relset_1(k2_zfmisc_1(k3_lattice8(A, D), k3_lattice8(A, D)), u1_struct_0(B), k6_lattice8(A, B, C, F, D), k6_lattice8(A, B, C, F, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_lattice8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(B) &  (v1_lattice3(B) &  (v2_lattice3(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (v2_lattice5(C, A, B) =>  (! [D] :  (m1_lattice5(D, A, B, C) =>  (! [E] :  (v3_ordinal1(E) => v2_lattice5(k6_lattice8(A, B, C, D, E), k3_lattice8(A, E), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_lattice8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(B) &  (v1_lattice3(B) &  (v2_lattice3(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (v1_lattice5(C, A, B) =>  (! [D] :  (m1_lattice5(D, A, B, C) =>  (! [E] :  (v3_ordinal1(E) => v1_lattice5(k6_lattice8(A, B, C, D, E), k3_lattice8(A, E), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_lattice8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(B) &  (v1_lattice3(B) &  (v2_lattice3(B) & l1_orders_2(B)) ) ) ) ) )  =>  (v1_yellow11(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  ( (v1_lattice5(C, A, B) & v3_lattice5(C, A, B))  =>  (! [D] :  (v3_ordinal1(D) =>  (! [E] :  (m1_lattice5(E, A, B, C) =>  (r1_ordinal1(D, k7_lattice5(A, B, C)) => v3_lattice5(k6_lattice8(A, B, C, E, D), k3_lattice8(A, D), B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_lattice8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow11(B) & l1_orders_2(B)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) &  (v1_lattice5(C, A, B) &  (v2_lattice5(C, A, B) &  (v3_lattice5(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) ) ) ) )  =>  (! [D] :  (v3_ordinal1(D) =>  (! [E] :  (m1_lattice5(E, A, B, C) =>  (r1_ordinal1(D, k7_lattice5(A, B, C)) =>  (v1_funct_1(k6_lattice8(A, B, C, E, D)) &  (v1_funct_2(k6_lattice8(A, B, C, E, D), k2_zfmisc_1(k3_lattice8(A, D), k3_lattice8(A, D)), u1_struct_0(B)) &  (v1_lattice5(k6_lattice8(A, B, C, E, D), k3_lattice8(A, D), B) &  (v2_lattice5(k6_lattice8(A, B, C, E, D), k3_lattice8(A, D), B) &  (v3_lattice5(k6_lattice8(A, B, C, E, D), k3_lattice8(A, D), B) & m1_subset_1(k6_lattice8(A, B, C, E, D), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_lattice8(A, D), k3_lattice8(A, D)), u1_struct_0(B))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_lattice8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(B) &  (v1_lattice3(B) &  (v2_lattice3(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  => k7_lattice8(A, B, C)=k3_lattice8(A, k7_lattice5(A, B, C))) ) ) ) ) ) ).
fof(d9_lattice8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(B) &  (v1_lattice3(B) &  (v2_lattice3(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (! [D] :  (m1_lattice5(D, A, B, C) => k8_lattice8(A, B, C, D)=k6_lattice8(A, B, C, D, k7_lattice5(A, B, C))) ) ) ) ) ) ) ) ).
fof(d10_lattice8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(B) &  (v1_lattice3(B) &  (v2_lattice3(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) &  (v1_lattice5(C, A, B) &  (v2_lattice5(C, A, B) &  (v3_lattice5(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) ) ) ) )  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(D, D), u1_struct_0(B)) &  (v1_lattice5(E, D, B) &  (v2_lattice5(E, D, B) &  (v3_lattice5(E, D, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(D, D), u1_struct_0(B))))) ) ) ) )  =>  (r2_lattice8(A, B, C, D, E) <=>  (? [F] :  (m1_lattice5(F, A, B, C) &  (D=k7_lattice8(A, B, C) & E=k8_lattice8(A, B, C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_lattice8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(B) &  (v1_lattice3(B) &  (v2_lattice3(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) &  (v1_lattice5(C, A, B) &  (v2_lattice5(C, A, B) &  (v3_lattice5(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) ) ) ) )  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(D, D), u1_struct_0(B)) &  (v1_lattice5(E, D, B) &  (v2_lattice5(E, D, B) &  (v3_lattice5(E, D, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(D, D), u1_struct_0(B))))) ) ) ) )  =>  (r2_lattice8(A, B, C, D, E) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(B)) =>  ~ ( (r3_orders_2(B, k3_lattice5(A, B, C, F, G), k13_lattice3(B, H, I)) &  (! [J] :  (m1_subset_1(J, D) =>  (! [K] :  (m1_subset_1(K, D) =>  ~ ( (k1_binop_1(E, F, J)=H &  (k3_lattice5(D, B, E, J, K)=k12_lattice3(B, k13_lattice3(B, k3_lattice5(A, B, C, F, G), H), I) & k1_binop_1(E, K, G)=H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_lattice8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow11(B) & l1_orders_2(B)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) &  (v1_lattice5(C, A, B) &  (v2_lattice5(C, A, B) &  (v3_lattice5(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (m1_lattice8(D, A, B, C) <=>  (k9_xtuple_0(D)=k4_ordinal1 &  (k1_funct_1(D, k5_numbers)=k4_tarski(A, C) &  (! [E] :  (v7_ordinal1(E) =>  (? [F] :  ( ~ (v1_xboole_0(F))  &  (? [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(F, F), u1_struct_0(B)) &  (v1_lattice5(G, F, B) &  (v2_lattice5(G, F, B) &  (v3_lattice5(G, F, B) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(F, F), u1_struct_0(B))))) ) ) ) )  &  (? [H] :  ( ~ (v1_xboole_0(H))  &  (? [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, k2_zfmisc_1(H, H), u1_struct_0(B)) &  (v1_lattice5(I, H, B) &  (v2_lattice5(I, H, B) &  (v3_lattice5(I, H, B) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(H, H), u1_struct_0(B))))) ) ) ) )  &  (r2_lattice8(F, B, G, H, I) &  (k1_funct_1(D, E)=k4_tarski(F, G) & k1_funct_1(D, k1_nat_1(E, 1))=k4_tarski(H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_lattice8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow11(B) & l1_orders_2(B)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) &  (v1_lattice5(C, A, B) &  (v2_lattice5(C, A, B) &  (v3_lattice5(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) ) ) ) )  =>  (! [D] :  (m1_lattice8(D, A, B, C) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (r1_xxreal_0(E, F) => r1_tarski(k1_xfamily(k1_funct_1(D, E)), k1_xfamily(k1_funct_1(D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_lattice8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow11(B) & l1_orders_2(B)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) &  (v1_lattice5(C, A, B) &  (v2_lattice5(C, A, B) &  (v3_lattice5(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) ) ) ) )  =>  (! [D] :  (m1_lattice8(D, A, B, C) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (r1_xxreal_0(E, F) => r1_tarski(k2_xfamily(k1_funct_1(D, E)), k2_xfamily(k1_funct_1(D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_lattice8, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_yellow_0(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v1_yellow11(A) & l1_orders_2(A)) ) ) ) ) ) )  => r1_lattice8(A, 2)) ) ).
fof(t36_lattice8, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_yellow_0(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) ) )  =>  (r1_lattice8(A, 2) <=> v1_yellow11(A)) ) ) ).
fof(dt_k2_lattice8, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(B) &  (v1_lattice3(B) &  (v2_lattice3(B) & l1_orders_2(B)) ) ) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  & m1_subset_1(D, k4_zfmisc_1(A, A, u1_struct_0(B), u1_struct_0(B)))) ) )  =>  (v1_funct_1(k2_lattice8(A, B, C, D)) &  (v1_funct_2(k2_lattice8(A, B, C, D), k2_zfmisc_1(k1_lattice8(A), k1_lattice8(A)), u1_struct_0(B)) & m1_subset_1(k2_lattice8(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_lattice8(A), k1_lattice8(A)), u1_struct_0(B))))) ) ) ) ).
fof(dt_k4_lattice8, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(B) &  (v1_lattice3(B) &  (v2_lattice3(B) & l1_orders_2(B)) ) ) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  &  (m1_lattice5(D, A, B, C) & v3_ordinal1(E)) ) ) )  => m1_subset_1(k4_lattice8(A, B, C, D, E), k4_zfmisc_1(k3_lattice8(A, E), k3_lattice8(A, E), u1_struct_0(B), u1_struct_0(B)))) ) ).
fof(dt_k6_lattice8, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(B) &  (v1_lattice3(B) &  (v2_lattice3(B) & l1_orders_2(B)) ) ) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  &  (m1_lattice5(D, A, B, C) & v3_ordinal1(E)) ) ) )  =>  (v1_funct_1(k6_lattice8(A, B, C, D, E)) &  (v1_funct_2(k6_lattice8(A, B, C, D, E), k2_zfmisc_1(k3_lattice8(A, E), k3_lattice8(A, E)), u1_struct_0(B)) & m1_subset_1(k6_lattice8(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_lattice8(A, E), k3_lattice8(A, E)), u1_struct_0(B))))) ) ) ) ).
fof(redefinition_k6_lattice8, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(B) &  (v1_lattice3(B) &  (v2_lattice3(B) & l1_orders_2(B)) ) ) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  &  (m1_lattice5(D, A, B, C) & v3_ordinal1(E)) ) ) )  => k6_lattice8(A, B, C, D, E)=k5_lattice8(A, B, C, D, E)) ) ).
fof(dt_k9_lattice8, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow11(B) & l1_orders_2(B)) ) ) ) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) &  (v1_lattice5(C, A, B) &  (v2_lattice5(C, A, B) &  (v3_lattice5(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) ) ) ) )  & m1_lattice5(D, A, B, C)) ) )  =>  (v1_funct_1(k9_lattice8(A, B, C, D)) &  (v1_funct_2(k9_lattice8(A, B, C, D), k2_zfmisc_1(k7_lattice8(A, B, C), k7_lattice8(A, B, C)), u1_struct_0(B)) &  (v1_lattice5(k9_lattice8(A, B, C, D), k7_lattice8(A, B, C), B) &  (v2_lattice5(k9_lattice8(A, B, C, D), k7_lattice8(A, B, C), B) &  (v3_lattice5(k9_lattice8(A, B, C, D), k7_lattice8(A, B, C), B) & m1_subset_1(k9_lattice8(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k7_lattice8(A, B, C), k7_lattice8(A, B, C)), u1_struct_0(B))))) ) ) ) ) ) ) ).
fof(redefinition_k9_lattice8, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow11(B) & l1_orders_2(B)) ) ) ) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) &  (v1_lattice5(C, A, B) &  (v2_lattice5(C, A, B) &  (v3_lattice5(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) ) ) ) )  & m1_lattice5(D, A, B, C)) ) )  => k9_lattice8(A, B, C, D)=k8_lattice8(A, B, C, D)) ) ).
fof(dt_m1_lattice8, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow11(B) & l1_orders_2(B)) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) &  (v1_lattice5(C, A, B) &  (v2_lattice5(C, A, B) &  (v3_lattice5(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) ) ) ) ) ) )  =>  (! [D] :  (m1_lattice8(D, A, B, C) =>  (v1_relat_1(D) & v1_funct_1(D)) ) ) ) ) ).
fof(existence_m1_lattice8, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow11(B) & l1_orders_2(B)) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) &  (v1_lattice5(C, A, B) &  (v2_lattice5(C, A, B) &  (v3_lattice5(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) ) ) ) ) ) )  =>  (? [D] : m1_lattice8(D, A, B, C)) ) ) ).
fof(t32_lattice8, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_yellow_0(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v1_yellow11(A) & l1_orders_2(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_lattice8(B, u1_struct_0(A), A, k16_lattice5(A)) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (C=k3_tarski(a_2_0_lattice8(A, B)) =>  (v1_funct_1(k3_tarski(a_2_1_lattice8(A, B))) &  (v1_funct_2(k3_tarski(a_2_1_lattice8(A, B)), k2_zfmisc_1(C, C), u1_struct_0(A)) &  (v1_lattice5(k3_tarski(a_2_1_lattice8(A, B)), C, A) &  (v2_lattice5(k3_tarski(a_2_1_lattice8(A, B)), C, A) &  (v3_lattice5(k3_tarski(a_2_1_lattice8(A, B)), C, A) & m1_subset_1(k3_tarski(a_2_1_lattice8(A, B)), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, C), u1_struct_0(A))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_lattice8, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_yellow_0(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v1_yellow11(A) & l1_orders_2(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_lattice8(B, u1_struct_0(A), A, k16_lattice5(A)) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(C, C), u1_struct_0(A)) &  (v1_lattice5(D, C, A) &  (v2_lattice5(D, C, A) &  (v3_lattice5(D, C, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, C), u1_struct_0(A))))) ) ) ) )  =>  (! [E] :  (m1_subset_1(E, C) =>  (! [F] :  (m1_subset_1(F, C) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ~ ( (C=k3_tarski(a_2_0_lattice8(A, B)) &  (D=k3_tarski(a_2_1_lattice8(A, B)) &  (r3_orders_2(A, k3_lattice5(C, A, D, E, F), k13_lattice3(A, G, H)) &  (! [I] :  (m1_subset_1(I, C) =>  (! [J] :  (m1_subset_1(J, C) =>  ~ ( (k3_lattice5(C, A, D, E, I)=G &  (k3_lattice5(C, A, D, I, J)=k12_lattice3(A, k13_lattice3(A, k3_lattice5(C, A, D, E, F), G), H) & k3_lattice5(C, A, D, J, F)=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_lattice8, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_yellow_0(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v1_yellow11(A) & l1_orders_2(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_lattice8(B, u1_struct_0(A), A, k16_lattice5(A)) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(C, C), u1_struct_0(A)) &  (v1_lattice5(D, C, A) &  (v2_lattice5(D, C, A) &  (v3_lattice5(D, C, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, C), u1_struct_0(A))))) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(k1_lattice5(C))) &  (v19_waybel_0(E, A, k1_lattice5(C)) &  (v20_waybel_0(E, A, k1_lattice5(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_lattice5(C)))))) ) ) )  =>  (! [F] :  ( (v1_partfun1(F, C) &  (v3_relat_2(F) &  (v8_relat_2(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, C)))) ) )  =>  (! [G] :  ( (v1_partfun1(G, C) &  (v3_relat_2(G) &  (v8_relat_2(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(C, C)))) ) )  =>  (! [H] :  (! [I] :  ~ ( (r2_funct_2(u1_struct_0(A), u1_struct_0(k1_lattice5(C)), E, k4_lattice5(C, A, D)) &  (C=k3_tarski(a_2_0_lattice8(A, B)) &  (D=k3_tarski(a_2_1_lattice8(A, B)) &  (r2_tarski(F, u1_struct_0(k1_yellow_2(A, k1_lattice5(C), E))) &  (r2_tarski(G, u1_struct_0(k1_yellow_2(A, k1_lattice5(C), E))) &  (r2_hidden(k4_tarski(H, I), k5_eqrel_1(C, F, G)) &  (! [J] :  ( ( ~ (v1_xboole_0(J))  & m2_finseq_1(J, C))  =>  ~ ( (k3_finseq_1(J)=k1_nat_1(2, 2) & r1_lattice5(C, J, H, I, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_lattice8, axiom,  (! [A, B, C] :  ( ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow11(B) & l1_orders_2(B)) ) ) ) ) ) )  & m1_lattice8(C, u1_struct_0(B), B, k16_lattice5(B)))  =>  (r2_hidden(A, a_2_0_lattice8(B, C)) <=>  (? [D] :  (m1_subset_1(D, k4_ordinal1) & A=k1_xfamily(k1_funct_1(C, D))) ) ) ) ) ).
fof(fraenkel_a_2_1_lattice8, axiom,  (! [A, B, C] :  ( ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v1_yellow11(B) & l1_orders_2(B)) ) ) ) ) ) )  & m1_lattice8(C, u1_struct_0(B), B, k16_lattice5(B)))  =>  (r2_hidden(A, a_2_1_lattice8(B, C)) <=>  (? [D] :  (m1_subset_1(D, k4_ordinal1) & A=k2_xfamily(k1_funct_1(C, D))) ) ) ) ) ).
fof(rc1_latticea, axiom,  (? [A] :  (l3_lattices(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v10_lattices(A) &  (v11_lattices(A) &  (v12_lattices(A) &  (v13_lattices(A) &  (v14_lattices(A) &  (v15_lattices(A) &  (v16_lattices(A) & v17_lattices(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  ( ~ (v1_xboole_0(k5_filter_2(A)))  &  (v18_lattices(k5_filter_2(A), A) &  (v21_lattices(k5_filter_2(A), A) & v2_filter_2(k5_filter_2(A), A)) ) ) ) ) ).
fof(cc1_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & v2_latticea(B, A)) ) )  =>  ( ~ (v1_xboole_0(B))  &  (v1_subset_1(B, u1_struct_0(A)) &  (v19_lattices(B, A) & v20_lattices(B, A)) ) ) ) ) ) ) ) ).
fof(cc2_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & v2_latticea(B, A)) ) )  =>  ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & v1_filter_0(B, A)) ) ) ) ) ) ) ) ).
fof(cc3_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & v1_filter_0(B, A)) ) )  =>  ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & v2_latticea(B, A)) ) ) ) ) ) ) ) ).
fof(cc4_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) &  (v21_lattices(B, A) & v3_latticea(B, A)) ) )  =>  ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) &  (v21_lattices(B, A) & v1_filter_2(B, A)) ) ) ) ) ) ) ) ).
fof(cc5_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) &  (v21_lattices(B, A) & v1_filter_2(B, A)) ) )  =>  ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) &  (v21_lattices(B, A) & v3_latticea(B, A)) ) ) ) ) ) ) ) ).
fof(cc6_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) &  (v21_lattices(B, A) & v3_latticea(B, A)) ) )  =>  ( ~ (v1_xboole_0(B))  &  (v1_subset_1(B, u1_struct_0(A)) &  (v18_lattices(B, A) & v21_lattices(B, A)) ) ) ) ) ) ) ) ).
fof(cc7_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & v2_latticea(B, A)) ) )  =>  ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & v2_filter_0(B, A)) ) ) ) ) ) ) ) ).
fof(cc8_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) &  (v21_lattices(B, A) & v3_latticea(B, A)) ) )  =>  ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) &  (v21_lattices(B, A) & v2_filter_2(B, A)) ) ) ) ) ) ) ) ).
fof(fc2_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  ~ (v1_xboole_0(k4_latticea(A))) ) ) ).
fof(fc3_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) &  (v14_lattices(A) & l3_lattices(A)) ) ) ) )  =>  ( ~ (v2_struct_0(k5_latticea(A)))  &  (v1_pre_topc(k5_latticea(A)) & v2_pre_topc(k5_latticea(A))) ) ) ) ).
fof(fc4_latticea, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) &  (v15_lattices(A) & l3_lattices(A)) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  ( ~ (v1_xboole_0(k6_latticea(A, B)))  &  (v18_lattices(k6_latticea(A, B), A) & v21_lattices(k6_latticea(A, B), A)) ) ) ) ).
fof(fc5_latticea, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) &  (v15_lattices(A) & l3_lattices(A)) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  ( ~ (v1_xboole_0(k7_latticea(A, B)))  &  (v19_lattices(k7_latticea(A, B), A) & v20_lattices(k7_latticea(A, B), A)) ) ) ) ).
fof(fc6_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) &  (v15_lattices(A) & l3_lattices(A)) ) ) ) )  =>  ~ (v1_xboole_0(k8_latticea(A))) ) ) ).
fof(fc7_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  => v1_latticea(k8_latticea(A))) ) ).
fof(d1_latticea, axiom,  (! [A] :  (v1_latticea(A) <=>  (! [B] :  (! [C] :  ~ ( (r2_tarski(B, A) &  (r2_tarski(C, A) &  ( ~ (B=C)  & r3_xboole_0(B, C)) ) ) ) ) ) ) ) ).
fof(t1_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) & l3_lattices(A)) ) ) )  =>  ~ (k6_lattices(A)=k5_lattices(A)) ) ) ).
fof(t2_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v2_filter_2(B, A) <=>  ( ( ~ (v1_xboole_0(k3_subset_1(u1_struct_0(A), B)))  &  (v19_lattices(k3_subset_1(u1_struct_0(A), B), A) &  (v20_lattices(k3_subset_1(u1_struct_0(A), B), A) & m1_subset_1(k3_subset_1(u1_struct_0(A), B), k1_zfmisc_1(u1_struct_0(A)))) ) )  | k3_subset_1(u1_struct_0(A), B)=k1_xboole_0) ) ) ) ) ) ).
fof(t3_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v2_filter_0(B, A) <=>  ( ( ~ (v1_xboole_0(k3_subset_1(u1_struct_0(A), B)))  &  (v18_lattices(k3_subset_1(u1_struct_0(A), B), A) &  (v21_lattices(k3_subset_1(u1_struct_0(A), B), A) & m1_subset_1(k3_subset_1(u1_struct_0(A), B), k1_zfmisc_1(u1_struct_0(A)))) ) )  | k3_subset_1(u1_struct_0(A), B)=k1_xboole_0) ) ) ) ) ) ).
fof(t4_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  => r2_xboole_0(k7_openlatt(A), k1_latticea(A))) ) ).
fof(t5_latticea, axiom, u1_struct_0(k1_lattice3(k1_tarski(k1_xboole_0)))=k2_tarski(k1_xboole_0, k1_tarski(k1_xboole_0))).
fof(t6_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (A=k1_lattice3(k1_tarski(k1_xboole_0)) &  ( ~ (B=k1_xboole_0)  &  ( ~ (B=k1_tarski(k1_xboole_0))  &  ( ~ (B=k2_tarski(k1_xboole_0, k1_tarski(k1_xboole_0)))  &  ~ (B=k1_tarski(k1_tarski(k1_xboole_0))) ) ) ) ) ) ) ) ) ) ).
fof(t7_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ~ ( (A=k1_lattice3(k1_tarski(k1_xboole_0)) &  ( ~ (B=k1_xboole_0)  &  ( ~ (B=k2_tarski(k1_xboole_0, k1_tarski(k1_xboole_0)))  &  ~ (B=k1_tarski(k1_tarski(k1_xboole_0))) ) ) ) ) ) ) ) ) ).
fof(t8_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ~ ( (A=k1_lattice3(k1_tarski(k1_xboole_0)) &  ( ~ (B=k1_tarski(k6_lattices(A)))  &  ~ (r1_filter_2(u1_struct_0(A), B, k1_filter_0(A))) ) ) ) ) ) ) ) ).
fof(t9_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ( (A=k1_lattice3(k1_tarski(k1_xboole_0)) & B=k1_tarski(k6_lattices(A)))  => v2_filter_0(B, A)) ) ) ) ) ).
fof(t10_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ( (A=k1_lattice3(k1_tarski(k1_xboole_0)) & v1_filter_0(B, A))  => B=k1_tarski(k6_lattices(A))) ) ) ) ) ).
fof(d3_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v2_latticea(B, A) <=>  (v1_subset_1(B, u1_struct_0(A)) &  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v19_lattices(C, A) &  (v20_lattices(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ( (v1_subset_1(C, u1_struct_0(A)) & r1_tarski(B, C))  => r1_filter_2(u1_struct_0(A), B, C)) ) ) ) ) ) ) ) ) ).
fof(d4_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v3_latticea(B, A) <=>  (v1_subset_1(B, u1_struct_0(A)) &  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v18_lattices(C, A) &  (v21_lattices(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ( (v1_subset_1(C, u1_struct_0(A)) & r1_tarski(B, C))  => r1_filter_2(u1_struct_0(A), B, C)) ) ) ) ) ) ) ) ) ).
fof(t12_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v1_filter_2(B, A) <=> v3_latticea(B, A)) ) ) ) ) ).
fof(t13_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ~ ( ( ~ (v2_filter_0(B, A))  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(k3_lattices(A, C, D), B) &  ( ~ (r2_tarski(C, B))  &  ~ (r2_tarski(D, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ~ ( ( ~ (v2_filter_2(B, A))  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(k4_lattices(A, C, D), B) &  ( ~ (r2_tarski(C, B))  &  ~ (r2_tarski(D, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v2_latticea(B, A) => v2_filter_0(B, A)) ) ) ) ) ).
fof(t18_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v3_latticea(B, A) => v2_filter_2(B, A)) ) ) ) ) ).
fof(t19_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v19_lattices(C, A) &  (v20_lattices(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ~ ( (r1_subset_1(B, C) &  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v18_lattices(D, A) &  (v21_lattices(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ~ ( (v2_filter_2(D, A) &  (r1_tarski(B, D) & r1_subset_1(D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (r2_tarski(C, B))  &  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v18_lattices(D, A) &  (v21_lattices(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ~ ( (v2_filter_2(D, A) &  (r1_tarski(B, D) &  ~ (r2_tarski(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v18_lattices(D, A) &  (v21_lattices(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ( ~ ( (v2_filter_2(D, A) &  (r2_tarski(B, D) &  ~ (r2_tarski(C, D)) ) ) )  &  ~ ( ( ~ (r2_tarski(B, D))  & r2_tarski(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (r3_lattices(A, B, C))  &  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v18_lattices(D, A) &  (v21_lattices(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ~ ( (v2_filter_2(D, A) &  ( ~ (r2_tarski(B, D))  & r2_tarski(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (r2_tarski(C, k1_funct_1(k2_latticea(A), B)) <=>  (? [D] :  ( ( ~ (v1_xboole_0(D))  &  (v19_lattices(D, A) &  (v20_lattices(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) )  &  (D=C &  (v2_filter_0(D, A) & r2_tarski(B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t25_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v19_lattices(C, A) &  (v20_lattices(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (r2_tarski(C, k1_funct_1(k2_latticea(A), B)) <=>  (v2_filter_0(C, A) & r2_tarski(B, C)) ) ) ) ) ) ) ) ).
fof(t26_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_funct_1(k2_latticea(A), k4_lattices(A, B, C))=k3_xboole_0(k1_funct_1(k2_latticea(A), B), k1_funct_1(k2_latticea(A), C))) ) ) ) ) ) ).
fof(t27_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_funct_1(k2_latticea(A), k3_lattices(A, B, C))=k2_xboole_0(k1_funct_1(k2_latticea(A), B), k1_funct_1(k2_latticea(A), C))) ) ) ) ) ) ).
fof(d6_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  => k4_latticea(A)=k2_relset_1(k9_setfam_1(k1_latticea(A)), k3_latticea(A))) ) ).
fof(t28_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (r2_tarski(B, k4_latticea(A)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & k3_funct_2(u1_struct_0(A), k9_setfam_1(k1_latticea(A)), k3_latticea(A), C)=B) ) ) ) ) ) ).
fof(t29_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, k6_latticea(A, B)) <=> k4_lattices(A, C, B)=k5_lattices(A)) ) ) ) ) ) ) ).
fof(t30_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, k7_latticea(A, B)) <=> k3_lattices(A, C, B)=k6_lattices(A)) ) ) ) ) ) ) ).
fof(t31_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r2_tarski(k5_lattices(A), k6_latticea(A, B))) ) ) ) ).
fof(t32_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r2_tarski(k6_lattices(A), k7_latticea(A, B))) ) ) ) ).
fof(t33_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) &  (v15_lattices(A) & l3_lattices(A)) ) ) )  =>  (v17_lattices(A) <=>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ( (v1_subset_1(B, u1_struct_0(A)) & v2_filter_2(B, A))  => v3_latticea(B, A)) ) ) ) ) ) ).
fof(t34_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) &  (v15_lattices(A) & l3_lattices(A)) ) ) )  =>  (v17_lattices(A) <=> v1_latticea(k8_latticea(A))) ) ) ).
fof(dt_k1_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  => m1_subset_1(k1_latticea(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k2_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (v1_relat_1(k2_latticea(A)) & v1_funct_1(k2_latticea(A))) ) ) ).
fof(dt_k3_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (v1_funct_1(k3_latticea(A)) &  (v1_funct_2(k3_latticea(A), u1_struct_0(A), k9_setfam_1(k1_latticea(A))) & m1_subset_1(k3_latticea(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k9_setfam_1(k1_latticea(A)))))) ) ) ) ).
fof(redefinition_k3_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  => k3_latticea(A)=k2_latticea(A)) ) ).
fof(dt_k5_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) &  (v14_lattices(A) & l3_lattices(A)) ) ) )  =>  (v1_pre_topc(k5_latticea(A)) &  (v2_pre_topc(k5_latticea(A)) & l1_pre_topc(k5_latticea(A))) ) ) ) ).
fof(dt_k6_latticea, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k6_latticea(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k7_latticea, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k7_latticea(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k8_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  => m1_subset_1(k8_latticea(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(d2_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  => k1_latticea(A)=a_1_0_latticea(A)) ) ).
fof(t11_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_tarski(a_2_0_latticea(A, B), k1_latticea(A))) ) ) ) ).
fof(t15_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (D=a_3_0_latticea(A, B, C) & r2_tarski(C, D))  =>  ( ~ (v1_xboole_0(D))  &  (v19_lattices(D, A) &  (v20_lattices(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (D=a_3_1_latticea(A, B, C) & r2_tarski(C, D))  =>  ( ~ (v1_xboole_0(D))  &  (v18_lattices(D, A) &  (v21_lattices(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) &  (v21_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  => B=k1_setfam_1(a_2_1_latticea(A, B))) ) ) ) ).
fof(d5_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (B=k2_latticea(A) <=>  (k9_xtuple_0(B)=u1_struct_0(A) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_funct_1(B, C)=a_2_0_latticea(A, C)) ) ) ) ) ) ) ) ).
fof(d7_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) &  (v14_lattices(A) & l3_lattices(A)) ) ) )  =>  (! [B] :  ( (v1_pre_topc(B) &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (B=k5_latticea(A) <=>  (u1_struct_0(B)=k1_latticea(A) & u1_pre_topc(B)=a_1_1_latticea(A)) ) ) ) ) ) ).
fof(d8_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_latticea(A, B)=a_2_2_latticea(A, B)) ) ) ) ).
fof(d9_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k7_latticea(A, B)=a_2_3_latticea(A, B)) ) ) ) ).
fof(d10_latticea, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  => k8_latticea(A)=a_1_2_latticea(A)) ) ).
fof(fraenkel_a_1_0_latticea, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  (r2_hidden(A, a_1_0_latticea(B)) <=>  (? [C] :  ( ( ~ (v1_xboole_0(C))  &  (v19_lattices(C, B) &  (v20_lattices(C, B) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B)))) ) )  &  (A=C & v2_filter_0(C, B)) ) ) ) ) ) ).
fof(fraenkel_a_2_0_latticea, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_2_0_latticea(B, C)) <=>  (? [D] :  ( ( ~ (v1_xboole_0(D))  &  (v19_lattices(D, B) &  (v20_lattices(D, B) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) )  &  (A=D &  (v2_filter_0(D, B) & r2_tarski(C, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_latticea, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  &  ( ( ~ (v1_xboole_0(C))  &  (v19_lattices(C, B) &  (v20_lattices(C, B) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B)))) ) )  & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_0_latticea(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E &  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (r2_tarski(F, C) & r3_lattices(B, k4_lattices(B, D, F), E)) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_latticea, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  &  ( ( ~ (v1_xboole_0(C))  &  (v18_lattices(C, B) &  (v21_lattices(C, B) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B)))) ) )  & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_1_latticea(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E &  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (r2_tarski(F, C) & r3_lattices(B, E, k3_lattices(B, D, F))) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_latticea, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v11_lattices(B) & l3_lattices(B)) ) )  &  ( ~ (v1_xboole_0(C))  &  (v18_lattices(C, B) &  (v21_lattices(C, B) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B)))) ) ) )  =>  (r2_hidden(A, a_2_1_latticea(B, C)) <=>  (? [D] :  ( ( ~ (v1_xboole_0(D))  &  (v18_lattices(D, B) &  (v21_lattices(D, B) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) )  &  (A=D &  (v2_filter_2(D, B) & r1_tarski(C, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_1_1_latticea, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v11_lattices(B) &  (v14_lattices(B) & l3_lattices(B)) ) ) )  =>  (r2_hidden(A, a_1_1_latticea(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k1_latticea(B)))) &  (A=k5_setfam_1(k1_latticea(B), C) & r1_tarski(C, k4_latticea(B))) ) ) ) ) ) ).
fof(fraenkel_a_2_2_latticea, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_2_2_latticea(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & k4_lattices(B, C, D)=k5_lattices(B)) ) ) ) ) ) ).
fof(fraenkel_a_2_3_latticea, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_2_3_latticea(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & k3_lattices(B, C, D)=k6_lattices(B)) ) ) ) ) ) ).
fof(fraenkel_a_1_2_latticea, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  (r2_hidden(A, a_1_2_latticea(B)) <=>  (? [C] :  ( ( ~ (v1_xboole_0(C))  &  (v18_lattices(C, B) &  (v21_lattices(C, B) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B)))) ) )  &  (A=C &  (v2_filter_2(C, B) & v1_subset_1(C, u1_struct_0(B))) ) ) ) ) ) ) ).
fof(rc1_lattices, axiom,  (? [A] :  (l1_lattices(A) & v1_lattices(A)) ) ).
fof(rc2_lattices, axiom,  (? [A] :  (l2_lattices(A) & v2_lattices(A)) ) ).
fof(rc3_lattices, axiom,  (? [A] :  (l3_lattices(A) & v3_lattices(A)) ) ).
fof(fc1_lattices, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) )  =>  ( ~ (v2_struct_0(g2_lattices(A, B)))  & v2_lattices(g2_lattices(A, B))) ) ) ).
fof(fc2_lattices, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) )  =>  ( ~ (v2_struct_0(g1_lattices(A, B)))  & v1_lattices(g1_lattices(A, B))) ) ) ).
fof(fc3_lattices, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) ) )  =>  ( ~ (v2_struct_0(g3_lattices(A, B, C)))  & v3_lattices(g3_lattices(A, B, C))) ) ) ).
fof(rc4_lattices, axiom,  (? [A] :  (l2_lattices(A) &  (v13_struct_0(A, 1) & v2_lattices(A)) ) ) ).
fof(rc5_lattices, axiom,  (? [A] :  (l1_lattices(A) &  (v13_struct_0(A, 1) & v1_lattices(A)) ) ) ).
fof(rc6_lattices, axiom,  (? [A] :  (l3_lattices(A) &  (v13_struct_0(A, 1) & v3_lattices(A)) ) ) ).
fof(cc1_lattices, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  & v10_lattices(A))  =>  ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) & v9_lattices(A)) ) ) ) ) ) ) ) ) ).
fof(cc2_lattices, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) & v9_lattices(A)) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  & v10_lattices(A)) ) ) ) ).
fof(rc7_lattices, axiom,  (? [A] :  (l2_lattices(A) &  ( ~ (v2_struct_0(A))  &  (v2_lattices(A) &  (v4_lattices(A) & v5_lattices(A)) ) ) ) ) ).
fof(rc8_lattices, axiom,  (? [A] :  (l1_lattices(A) &  ( ~ (v2_struct_0(A))  &  (v1_lattices(A) &  (v6_lattices(A) & v7_lattices(A)) ) ) ) ) ).
fof(rc9_lattices, axiom,  (? [A] :  (l3_lattices(A) &  ( ~ (v2_struct_0(A))  &  (v3_lattices(A) & v10_lattices(A)) ) ) ) ).
fof(rc10_lattices, axiom,  (? [A] :  (l3_lattices(A) &  ( ~ (v2_struct_0(A))  &  (v3_lattices(A) &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v10_lattices(A) &  (v11_lattices(A) &  (v12_lattices(A) &  (v13_lattices(A) & v14_lattices(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc3_lattices, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  &  (v13_lattices(A) & v14_lattices(A)) )  =>  ( ~ (v2_struct_0(A))  & v15_lattices(A)) ) ) ) ).
fof(cc4_lattices, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  & v15_lattices(A))  =>  ( ~ (v2_struct_0(A))  &  (v13_lattices(A) & v14_lattices(A)) ) ) ) ) ).
fof(rc11_lattices, axiom,  (? [A] :  (l3_lattices(A) &  ( ~ (v2_struct_0(A))  &  (v3_lattices(A) &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v10_lattices(A) & v15_lattices(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc12_lattices, axiom,  (? [A] :  (l3_lattices(A) &  ( ~ (v2_struct_0(A))  &  (v3_lattices(A) &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v10_lattices(A) &  (v15_lattices(A) & v16_lattices(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc5_lattices, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  & v17_lattices(A))  =>  ( ~ (v2_struct_0(A))  &  (v11_lattices(A) &  (v15_lattices(A) & v16_lattices(A)) ) ) ) ) ) ).
fof(cc6_lattices, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  &  (v11_lattices(A) &  (v15_lattices(A) & v16_lattices(A)) ) )  =>  ( ~ (v2_struct_0(A))  & v17_lattices(A)) ) ) ) ).
fof(rc13_lattices, axiom,  (? [A] :  (l3_lattices(A) &  ( ~ (v2_struct_0(A))  &  (v3_lattices(A) &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v10_lattices(A) & v17_lattices(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rd1_lattices, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) & l3_lattices(A)) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => k1_lattices(A, B, B)=B) ) ).
fof(rd2_lattices, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) & l3_lattices(A)) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => k4_lattices(A, B, B)=B) ) ).
fof(cc7_lattices, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & v11_lattices(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & v12_lattices(A)) ) ) ) ) ).
fof(rd3_lattices, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) )  & m1_subset_1(B, u1_struct_0(A)))  => k3_lattices(A, k5_lattices(A), B)=B) ) ).
fof(rd4_lattices, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) )  & m1_subset_1(B, u1_struct_0(A)))  => k4_lattices(A, k5_lattices(A), B)=k5_lattices(A)) ) ).
fof(rd5_lattices, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v14_lattices(A) & l3_lattices(A)) ) )  & m1_subset_1(B, u1_struct_0(A)))  => k4_lattices(A, k6_lattices(A), B)=B) ) ).
fof(rd6_lattices, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v14_lattices(A) & l3_lattices(A)) ) )  & m1_subset_1(B, u1_struct_0(A)))  => k3_lattices(A, k6_lattices(A), B)=k6_lattices(A)) ) ).
fof(rd7_lattices, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  & m1_subset_1(B, u1_struct_0(A)))  => k7_lattices(A, k7_lattices(A, B))=B) ) ).
fof(fc4_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  ( ~ (v1_xboole_0(k2_struct_0(A)))  &  (v18_lattices(k2_struct_0(A), A) & v19_lattices(k2_struct_0(A), A)) ) ) ) ).
fof(rc14_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) & v19_lattices(B, A)) ) ) ) ) ) ).
fof(cc8_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_xboole_0(B) =>  (v18_lattices(B, A) & v19_lattices(B, A)) ) ) ) ) ) ).
fof(cc9_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v18_lattices(B, A) => v20_lattices(B, A)) ) ) ) ) ).
fof(cc10_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v19_lattices(B, A) => v21_lattices(B, A)) ) ) ) ) ).
fof(d1_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_lattices(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_lattices(A, B, C)=k4_binop_1(u1_struct_0(A), u2_lattices(A), B, C)) ) ) ) ) ) ).
fof(d2_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lattices(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_lattices(A, B, C)=k4_binop_1(u1_struct_0(A), u1_lattices(A), B, C)) ) ) ) ) ) ).
fof(d3_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_lattices(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_lattices(A, B, C) <=> k1_lattices(A, B, C)=C) ) ) ) ) ) ) ).
fof(d4_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_lattices(A))  =>  (v4_lattices(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_lattices(A, B, C)=k1_lattices(A, C, B)) ) ) ) ) ) ) ).
fof(d5_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_lattices(A))  =>  (v5_lattices(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_lattices(A, B, k1_lattices(A, C, D))=k1_lattices(A, k1_lattices(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(d6_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lattices(A))  =>  (v6_lattices(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_lattices(A, B, C)=k2_lattices(A, C, B)) ) ) ) ) ) ) ).
fof(d7_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lattices(A))  =>  (v7_lattices(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_lattices(A, B, k2_lattices(A, C, D))=k2_lattices(A, k2_lattices(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(d8_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (v8_lattices(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_lattices(A, k2_lattices(A, B, C), C)=C) ) ) ) ) ) ) ).
fof(d9_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (v9_lattices(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_lattices(A, B, k1_lattices(A, B, C))=B) ) ) ) ) ) ) ).
fof(d10_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (v10_lattices(A) <=>  (v4_lattices(A) &  (v5_lattices(A) &  (v8_lattices(A) &  (v6_lattices(A) &  (v7_lattices(A) & v9_lattices(A)) ) ) ) ) ) ) ) ).
fof(d11_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (v11_lattices(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_lattices(A, B, k1_lattices(A, C, D))=k1_lattices(A, k2_lattices(A, B, C), k2_lattices(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(d12_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (v12_lattices(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_lattices(A, B, D) => k1_lattices(A, B, k2_lattices(A, C, D))=k2_lattices(A, k1_lattices(A, B, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(d13_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lattices(A))  =>  (v13_lattices(A) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k2_lattices(A, B, C)=B & k2_lattices(A, C, B)=B) ) ) ) ) ) ) ) ).
fof(d14_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_lattices(A))  =>  (v14_lattices(A) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_lattices(A, B, C)=B & k1_lattices(A, C, B)=B) ) ) ) ) ) ) ) ).
fof(d15_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (v15_lattices(A) <=>  (v13_lattices(A) & v14_lattices(A)) ) ) ) ).
fof(d16_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lattices(A))  =>  (v13_lattices(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (B=k5_lattices(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k2_lattices(A, B, C)=B & k2_lattices(A, C, B)=B) ) ) ) ) ) ) ) ) ).
fof(d17_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_lattices(A))  =>  (v14_lattices(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (B=k6_lattices(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_lattices(A, B, C)=B & k1_lattices(A, C, B)=B) ) ) ) ) ) ) ) ) ).
fof(d18_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_lattices(A, B, C) <=>  (k1_lattices(A, B, C)=k6_lattices(A) &  (k1_lattices(A, C, B)=k6_lattices(A) &  (k2_lattices(A, B, C)=k5_lattices(A) & k2_lattices(A, C, B)=k5_lattices(A)) ) ) ) ) ) ) ) ) ) ).
fof(d19_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (v16_lattices(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & r2_lattices(A, C, B)) ) ) ) ) ) ) ).
fof(d20_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (v17_lattices(A) <=>  (v15_lattices(A) &  (v16_lattices(A) & v11_lattices(A)) ) ) ) ) ).
fof(t3_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k4_lattices(A, B, k3_lattices(A, C, D))=k3_lattices(A, k4_lattices(A, B, C), k4_lattices(A, B, D))) ) ) ) ) )  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_lattices(A, B, k4_lattices(A, C, D))=k4_lattices(A, k3_lattices(A, B, C), k3_lattices(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t4_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_lattices(A) &  (v9_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_lattices(A, B, C) <=> k2_lattices(A, B, C)=B) ) ) ) ) ) ) ).
fof(t5_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_lattices(A) &  (v6_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) & l3_lattices(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_lattices(A, B, k1_lattices(A, B, C))) ) ) ) ) ) ).
fof(t6_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_lattices(A) &  (v8_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_lattices(A, k4_lattices(A, B, C), B)) ) ) ) ) ) ).
fof(t7_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_lattices(A) & l2_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_lattices(A, B, C) & r1_lattices(A, C, D))  => r1_lattices(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t8_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) & l2_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (r1_lattices(A, B, C) & r1_lattices(A, C, B))  => B=C) ) ) ) ) ) ) ).
fof(t9_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) & l3_lattices(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_lattices(A, B, C) => r1_lattices(A, k2_lattices(A, B, D), k2_lattices(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t10_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_lattices(A, k3_lattices(A, k4_lattices(A, B, C), k4_lattices(A, C, D)), k4_lattices(A, D, B))=k4_lattices(A, k4_lattices(A, k3_lattices(A, B, C), k3_lattices(A, C, D)), k3_lattices(A, D, B))) ) ) ) ) )  => v11_lattices(A)) ) ) ).
fof(t11_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_lattices(A, B, k4_lattices(A, C, D))=k4_lattices(A, k3_lattices(A, B, C), k3_lattices(A, B, D))) ) ) ) ) ) ) ) ).
fof(t12_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (k4_lattices(A, D, B)=k4_lattices(A, D, C) & k3_lattices(A, D, B)=k3_lattices(A, D, C))  => B=C) ) ) ) ) ) ) ) ) ).
fof(t13_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k4_lattices(A, k4_lattices(A, k3_lattices(A, B, C), k3_lattices(A, C, D)), k3_lattices(A, D, B))=k3_lattices(A, k3_lattices(A, k4_lattices(A, B, C), k4_lattices(A, C, D)), k4_lattices(A, D, B))) ) ) ) ) ) ) ) ).
fof(t14_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k3_lattices(A, k5_lattices(A), B)=B) ) ) ) ).
fof(t15_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k4_lattices(A, k5_lattices(A), B)=k5_lattices(A)) ) ) ) ).
fof(t16_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r3_lattices(A, k5_lattices(A), B)) ) ) ) ).
fof(t17_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v14_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k4_lattices(A, k6_lattices(A), B)=B) ) ) ) ).
fof(t18_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v14_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k3_lattices(A, k6_lattices(A), B)=k6_lattices(A)) ) ) ) ).
fof(t19_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v14_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r3_lattices(A, B, k6_lattices(A))) ) ) ) ).
fof(d21_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) &  (v16_lattices(A) & l3_lattices(A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (C=k7_lattices(A, B) <=> r2_lattices(A, C, B)) ) ) ) ) ) ) ) ).
fof(t20_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k4_lattices(A, k7_lattices(A, B), B)=k5_lattices(A)) ) ) ) ).
fof(t21_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k3_lattices(A, k7_lattices(A, B), B)=k6_lattices(A)) ) ) ) ).
fof(t22_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k7_lattices(A, k7_lattices(A, B))=B) ) ) ) ).
fof(t23_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k7_lattices(A, k4_lattices(A, B, C))=k3_lattices(A, k7_lattices(A, B), k7_lattices(A, C))) ) ) ) ) ) ).
fof(t24_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k7_lattices(A, k3_lattices(A, B, C))=k4_lattices(A, k7_lattices(A, B), k7_lattices(A, C))) ) ) ) ) ) ).
fof(t25_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k4_lattices(A, C, B)=k5_lattices(A) <=> r3_lattices(A, C, k7_lattices(A, B))) ) ) ) ) ) ) ).
fof(t26_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_lattices(A, B, C) => r3_lattices(A, k7_lattices(A, C), k7_lattices(A, B))) ) ) ) ) ) ) ).
fof(d22_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v18_lattices(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r3_lattices(A, C, D) & r2_tarski(D, B))  => r2_tarski(C, B)) ) ) ) ) ) ) ) ) ) ).
fof(d23_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v19_lattices(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r3_lattices(A, C, D) & r2_tarski(C, B))  => r2_tarski(D, B)) ) ) ) ) ) ) ) ) ) ).
fof(d24_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v20_lattices(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k4_lattices(A, C, D), B)) ) ) ) ) ) ) ) ) ) ).
fof(d25_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v21_lattices(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k3_lattices(A, C, D), B)) ) ) ) ) ) ) ) ) ) ).
fof(t27_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v18_lattices(B, A) &  (v19_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  => B=k2_struct_0(A)) ) ) ) ).
fof(abstractness_v1_lattices, axiom,  (! [A] :  (l1_lattices(A) =>  (v1_lattices(A) => A=g1_lattices(u1_struct_0(A), u1_lattices(A))) ) ) ).
fof(dt_l1_lattices, axiom,  (! [A] :  (l1_lattices(A) => l1_struct_0(A)) ) ).
fof(existence_l1_lattices, axiom,  (? [A] : l1_lattices(A)) ).
fof(dt_g1_lattices, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v1_lattices(g1_lattices(A, B)) & l1_lattices(g1_lattices(A, B))) ) ) ).
fof(free_g1_lattices, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C, D] :  (g1_lattices(A, B)=g1_lattices(C, D) =>  (A=C & B=D) ) ) ) ) ).
fof(dt_u1_lattices, axiom,  (! [A] :  (l1_lattices(A) =>  (v1_funct_1(u1_lattices(A)) &  (v1_funct_2(u1_lattices(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(u1_lattices(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(abstractness_v2_lattices, axiom,  (! [A] :  (l2_lattices(A) =>  (v2_lattices(A) => A=g2_lattices(u1_struct_0(A), u2_lattices(A))) ) ) ).
fof(dt_l2_lattices, axiom,  (! [A] :  (l2_lattices(A) => l1_struct_0(A)) ) ).
fof(existence_l2_lattices, axiom,  (? [A] : l2_lattices(A)) ).
fof(dt_g2_lattices, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v2_lattices(g2_lattices(A, B)) & l2_lattices(g2_lattices(A, B))) ) ) ).
fof(free_g2_lattices, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C, D] :  (g2_lattices(A, B)=g2_lattices(C, D) =>  (A=C & B=D) ) ) ) ) ).
fof(dt_u2_lattices, axiom,  (! [A] :  (l2_lattices(A) =>  (v1_funct_1(u2_lattices(A)) &  (v1_funct_2(u2_lattices(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(u2_lattices(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(abstractness_v3_lattices, axiom,  (! [A] :  (l3_lattices(A) =>  (v3_lattices(A) => A=g3_lattices(u1_struct_0(A), u2_lattices(A), u1_lattices(A))) ) ) ).
fof(dt_l3_lattices, axiom,  (! [A] :  (l3_lattices(A) =>  (l1_lattices(A) & l2_lattices(A)) ) ) ).
fof(existence_l3_lattices, axiom,  (? [A] : l3_lattices(A)) ).
fof(dt_g3_lattices, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) )  =>  (v3_lattices(g3_lattices(A, B, C)) & l3_lattices(g3_lattices(A, B, C))) ) ) ).
fof(free_g3_lattices, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) )  =>  (! [D, E, F] :  (g3_lattices(A, B, C)=g3_lattices(D, E, F) =>  (A=D &  (B=E & C=F) ) ) ) ) ) ).
fof(dt_k1_lattices, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_lattices(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k1_lattices(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k2_lattices, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_lattices(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k2_lattices(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k3_lattices, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) & l2_lattices(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k3_lattices(A, B, C), u1_struct_0(A))) ) ).
fof(commutativity_k3_lattices, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) & l2_lattices(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k3_lattices(A, B, C)=k3_lattices(A, C, B)) ) ).
fof(redefinition_k3_lattices, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) & l2_lattices(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k3_lattices(A, B, C)=k1_lattices(A, B, C)) ) ).
fof(dt_k4_lattices, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_lattices(A) & l1_lattices(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k4_lattices(A, B, C), u1_struct_0(A))) ) ).
fof(commutativity_k4_lattices, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_lattices(A) & l1_lattices(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k4_lattices(A, B, C)=k4_lattices(A, C, B)) ) ).
fof(redefinition_k4_lattices, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_lattices(A) & l1_lattices(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k4_lattices(A, B, C)=k2_lattices(A, B, C)) ) ).
fof(dt_k5_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lattices(A))  => m1_subset_1(k5_lattices(A), u1_struct_0(A))) ) ).
fof(dt_k6_lattices, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_lattices(A))  => m1_subset_1(k6_lattices(A), u1_struct_0(A))) ) ).
fof(reflexivity_r3_lattices, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) & l3_lattices(A)) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => r3_lattices(A, B, B)) ) ).
fof(redefinition_r3_lattices, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) & l3_lattices(A)) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r3_lattices(A, B, C) <=> r1_lattices(A, B, C)) ) ) ).
fof(dt_k7_lattices, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k7_lattices(A, B), u1_struct_0(A))) ) ).
fof(fc1_leibniz1, axiom,  (v1_funct_1(k1_sin_cos9) & v1_partfun1(k1_sin_cos9, k1_numbers)) ).
fof(fc2_leibniz1, axiom,  (v1_funct_1(k1_sin_cos9) & v4_fdiff_1(k1_sin_cos9)) ).
fof(fc3_leibniz1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_funct_1(k1_taylor_1(A)) &  (v1_funct_2(k1_taylor_1(A), k1_numbers, k1_numbers) & v1_fcont_1(k1_taylor_1(A))) ) ) ) ).
fof(t1_leibniz1, axiom, k2_relset_1(k1_numbers, k5_relset_1(k1_numbers, k1_numbers, k26_sin_cos, k2_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 2)), k7_xcmplx_0(k28_sin_cos, 2))))=k1_numbers).
fof(t2_leibniz1, axiom,  (! [A] :  (v1_xreal_0(A) => k1_fdiff_1(k1_sin_cos9, A)=k7_xcmplx_0(1, k2_xcmplx_0(1, k1_square_1(A)))) ) ).
fof(t3_leibniz1, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (r2_fdiff_1(k1_sin_cos9, A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => k1_funct_1(k2_fdiff_1(k1_sin_cos9, A), B)=k7_xcmplx_0(1, k2_xcmplx_0(1, k1_square_1(B)))) ) ) ) ) ) ).
fof(t4_leibniz1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (k1_relset_1(k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k1_taylor_1(A), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_taylor_1(k5_numbers), k1_taylor_1(2))))=k1_numbers &  (v1_fcont_1(k3_rfunct_1(k1_numbers, k1_numbers, k1_taylor_1(A), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_taylor_1(k5_numbers), k1_taylor_1(2)))) & k1_funct_1(k3_rfunct_1(k1_numbers, k1_numbers, k1_taylor_1(A), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_taylor_1(k5_numbers), k1_taylor_1(2))), B)=k7_xcmplx_0(k1_newton(B, A), k2_xcmplx_0(1, k1_square_1(B)))) ) ) ) ) ) ).
fof(t5_leibniz1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  => k2_integra5(A, k3_rfunct_1(k1_numbers, k1_numbers, k1_taylor_1(k5_numbers), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_taylor_1(k5_numbers), k1_taylor_1(2))))=k6_xcmplx_0(k1_funct_1(k1_sin_cos9, k2_seq_4(A)), k1_funct_1(k1_sin_cos9, k3_seq_4(A)))) ) ).
fof(t6_leibniz1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  => k2_integra5(C, k26_valued_1(k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k1_taylor_1(k3_xcmplx_0(2, B)), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_taylor_1(k5_numbers), k1_taylor_1(2))), k1_newton(k4_xcmplx_0(1), A)))=k2_xcmplx_0(k3_xcmplx_0(k1_newton(k4_xcmplx_0(1), A), k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1, k1_nat_1(k3_xcmplx_0(2, B), 1)), k1_newton(k2_seq_4(C), k1_nat_1(k3_xcmplx_0(2, B), 1))), k3_xcmplx_0(k7_xcmplx_0(1, k1_nat_1(k3_xcmplx_0(2, B), 1)), k1_newton(k3_seq_4(C), k1_nat_1(k3_xcmplx_0(2, B), 1))))), k2_integra5(C, k26_valued_1(k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k1_taylor_1(k2_nat_1(2, k1_nat_1(B, 1))), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_taylor_1(k5_numbers), k1_taylor_1(2))), k1_newton(k4_xcmplx_0(1), k1_nat_1(A, 1)))))) ) ) ) ) ) ).
fof(t7_leibniz1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  ( (C=k1_rcomp_1(k5_numbers, B) & r1_xxreal_0(k5_numbers, B))  => r1_xxreal_0(k9_complex1(k2_integra5(C, k3_rfunct_1(k1_numbers, k1_numbers, k1_taylor_1(k3_xcmplx_0(2, A)), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_taylor_1(k5_numbers), k1_taylor_1(2))))), k3_xcmplx_0(k7_xcmplx_0(1, k1_nat_1(k3_xcmplx_0(2, A), 1)), k1_newton(B, k1_nat_1(k3_xcmplx_0(2, A), 1))))) ) ) ) ) ) ) ).
fof(d1_leibniz1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (B=k1_leibniz1(A) <=>  (! [C] :  (v7_ordinal1(C) => k8_nat_1(k1_numbers, B, C)=k3_xcmplx_0(k1_newton(k4_xcmplx_0(1), C), k8_nat_1(k1_numbers, A, C))) ) ) ) ) ) ) ).
fof(t8_leibniz1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v4_partfun3(A) &  (v8_valued_0(A) &  (v2_comseq_2(A) & k1_seq_2(A)=k5_numbers) ) )  =>  (v1_series_1(k1_leibniz1(A)) &  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(k4_series_1(k1_leibniz1(A)), k8_nat_1(k1_numbers, k3_series_1(k1_leibniz1(A)), k3_xcmplx_0(2, B))) & r1_xxreal_0(k8_nat_1(k1_numbers, k3_series_1(k1_leibniz1(A)), k1_nat_1(k3_xcmplx_0(2, B), 1)), k4_series_1(k1_leibniz1(A)))) ) ) ) ) ) ) ).
fof(d2_leibniz1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (B=k2_leibniz1(A) <=>  (! [C] :  (v7_ordinal1(C) => k8_nat_1(k1_numbers, B, C)=k7_xcmplx_0(k3_xcmplx_0(k1_newton(k4_xcmplx_0(1), C), k1_newton(A, k1_nat_1(k3_xcmplx_0(2, C), 1))), k1_nat_1(k3_xcmplx_0(2, C), 1))) ) ) ) ) ) ) ).
fof(d3_leibniz1, axiom, k3_leibniz1=k2_leibniz1(1)).
fof(t9_leibniz1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r2_hidden(A, k1_rcomp_1(k4_xcmplx_0(1), 1)) =>  (v4_partfun3(k56_valued_1(k4_ordinal1, k1_numbers, k2_leibniz1(A))) &  (v8_valued_0(k56_valued_1(k4_ordinal1, k1_numbers, k2_leibniz1(A))) &  (v2_comseq_2(k56_valued_1(k4_ordinal1, k1_numbers, k2_leibniz1(A))) & k1_seq_2(k56_valued_1(k4_ordinal1, k1_numbers, k2_leibniz1(A)))=k5_numbers) ) ) ) ) ) ).
fof(t10_leibniz1, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( (r1_xxreal_0(k5_numbers, A) => r2_funct_2(k4_ordinal1, k1_numbers, k1_leibniz1(k56_valued_1(k4_ordinal1, k1_numbers, k2_leibniz1(A))), k2_leibniz1(A)))  &  ( ~ (r1_xxreal_0(k5_numbers, A))  => r2_funct_2(k4_ordinal1, k1_numbers, k26_valued_1(k4_ordinal1, k1_numbers, k1_leibniz1(k56_valued_1(k4_ordinal1, k1_numbers, k2_leibniz1(A))), k4_xcmplx_0(1)), k2_leibniz1(A))) ) ) ) ).
fof(t11_leibniz1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r2_hidden(A, k1_rcomp_1(k4_xcmplx_0(1), 1)) => v1_series_1(k2_leibniz1(A))) ) ) ).
fof(t12_leibniz1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  ( (C=k1_rcomp_1(k5_numbers, B) & r1_xxreal_0(k5_numbers, B))  => k1_funct_1(k1_sin_cos9, B)=k2_xcmplx_0(k8_nat_1(k1_numbers, k3_series_1(k2_leibniz1(B)), A), k2_integra5(C, k26_valued_1(k1_numbers, k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, k1_taylor_1(k2_nat_1(2, k1_nat_1(A, 1))), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_taylor_1(k5_numbers), k1_taylor_1(2))), k1_newton(k4_xcmplx_0(1), k1_nat_1(A, 1)))))) ) ) ) ) ) ) ).
fof(t13_leibniz1, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( (r1_xxreal_0(k5_numbers, A) & r1_xxreal_0(A, 1))  => k1_funct_1(k1_sin_cos9, A)=k4_series_1(k2_leibniz1(A))) ) ) ).
fof(t14_leibniz1, axiom, k7_xcmplx_0(k28_sin_cos, 4)=k4_series_1(k3_leibniz1)).
fof(t15_leibniz1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(k8_nat_1(k1_numbers, k3_series_1(k3_leibniz1), k1_nat_1(k3_xcmplx_0(2, A), 1)), k4_series_1(k3_leibniz1)) & r1_xxreal_0(k4_series_1(k3_leibniz1), k8_nat_1(k1_numbers, k3_series_1(k3_leibniz1), k3_xcmplx_0(2, A)))) ) ) ).
fof(t16_leibniz1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (k8_nat_1(k1_numbers, k3_series_1(k3_leibniz1), 1)=k7_xcmplx_0(2, 3) &  ( ~ (v1_abian(A))  => k8_nat_1(k1_numbers, k3_series_1(k3_leibniz1), k1_nat_1(A, 2))=k2_xcmplx_0(k8_nat_1(k1_numbers, k3_series_1(k3_leibniz1), A), k7_xcmplx_0(2, k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(4, k1_square_1(A)), k3_xcmplx_0(16, A)), 15)))) ) ) ) ).
fof(t17_leibniz1, axiom,  ( ~ (r1_xxreal_0(k28_sin_cos, k7_xcmplx_0(313, 100)))  &  ~ (r1_xxreal_0(k7_xcmplx_0(315, 100), k28_sin_cos)) ) ).
fof(dt_k1_leibniz1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_funct_1(k1_leibniz1(A)) &  (v1_funct_2(k1_leibniz1(A), k4_ordinal1, k1_numbers) & m1_subset_1(k1_leibniz1(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k2_leibniz1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_funct_1(k2_leibniz1(A)) &  (v1_funct_2(k2_leibniz1(A), k4_ordinal1, k1_numbers) & m1_subset_1(k2_leibniz1(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k3_leibniz1, axiom,  (v1_funct_1(k3_leibniz1) &  (v1_funct_2(k3_leibniz1, k4_ordinal1, k1_numbers) & m1_subset_1(k3_leibniz1, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ).
fof(rc1_lexbfs, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_zfmisc_1(k4_ordinal1))) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v5_finset_1(A)) ) ) ) ).
fof(rc2_lexbfs, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_finset_1(A) & v1_lexbfs(A)) ) ) ) ).
fof(fc1_lexbfs, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_partfun1(k4_bagorder(A), k15_pre_poly(A)) &  (v1_relat_2(k4_bagorder(A)) &  (v4_relat_2(k4_bagorder(A)) &  (v6_relat_2(k4_bagorder(A)) & v8_relat_2(k4_bagorder(A))) ) ) ) ) ) ).
fof(rc3_lexbfs, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v13_glib_000(A) &  (v2_lexbfs(A) & v3_lexbfs(A)) ) ) ) ) ) ) ).
fof(cc1_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v13_glib_000(A) & v2_lexbfs(A)) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) & v3_lexbfs(A)) ) ) ) ) ) ).
fof(cc2_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) & v3_lexbfs(A)) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) & v13_glib_000(A)) ) ) ) ) ) ).
fof(rc4_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (? [B] :  (m1_lexbfs(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_partfun1(B, k4_ordinal1) & v4_lexbfs(B, A)) ) ) ) ) ) ) ) ).
fof(cc3_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_lexbfs(B, A) =>  (v4_lexbfs(B, A) =>  (v13_glib_000(B) & v2_lexbfs(B)) ) ) ) ) ) ).
fof(fc2_lexbfs, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  & m1_subset_1(B, k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)))))  => v1_finset_1(k1_xtuple_0(B))) ) ).
fof(fc3_lexbfs, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  & m1_subset_1(B, k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)))))  => v1_finset_1(k2_xtuple_0(B))) ) ).
fof(fc4_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  => v2_lexbfs(k16_lexbfs(A))) ) ).
fof(fc5_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  => v3_lexbfs(k16_lexbfs(A))) ) ).
fof(fc6_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  => v4_lexbfs(k15_lexbfs(A, k16_lexbfs(A)), A)) ) ).
fof(fc7_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  => v2_lexbfs(k26_lexbfs(A))) ) ).
fof(fc8_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  => v3_lexbfs(k26_lexbfs(A))) ) ).
fof(fc9_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  => v4_lexbfs(k25_lexbfs(A, k26_lexbfs(A)), A)) ) ).
fof(t2_lexbfs, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(B, C) &  ( ~ (r1_xxreal_0(B, A))  & r1_xxreal_0(k7_nat_d(C, A), k7_nat_d(C, B))) ) ) ) ) ) ) ) ) ).
fof(d2_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k1_lexbfs(A, B) <=>  (k9_xtuple_0(C)=k2_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)) &  (! [D] :  (r2_hidden(D, k2_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B))) => k1_funct_1(C, D)=k2_xboole_0(k1_funct_1(A, D), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t3_lexbfs, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(A, k2_finsub_1(k1_zfmisc_1(k4_ordinal1), k2_finseq_1(C), k2_finseq_1(k7_nat_d(C, B)))) <=>  ( ~ (r1_xxreal_0(A, k7_nat_d(C, B)))  & r1_xxreal_0(A, C)) ) ) ) ) ) ) ) ).
fof(t4_lexbfs, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(A, C) => r1_tarski(k2_finsub_1(k1_zfmisc_1(k4_ordinal1), k2_finseq_1(B), k2_finseq_1(k7_nat_d(B, A))), k2_finsub_1(k1_zfmisc_1(k4_ordinal1), k2_finseq_1(B), k2_finseq_1(k7_nat_d(B, C))))) ) ) ) ) ) ) ).
fof(t5_lexbfs, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(B, A))  => k1_finsub_1(k1_zfmisc_1(k4_ordinal1), k2_finsub_1(k1_zfmisc_1(k4_ordinal1), k2_finseq_1(B), k2_finseq_1(k7_nat_d(B, A))), k6_domain_1(k4_ordinal1, k7_nat_d(B, A)))=k2_finsub_1(k1_zfmisc_1(k4_ordinal1), k2_finseq_1(B), k2_finseq_1(k7_nat_d(B, k1_nat_1(A, 1))))) ) ) ) ) ).
fof(d3_lexbfs, axiom,  (! [A] :  (v1_relat_1(A) =>  (v1_lexbfs(A) <=> r1_tarski(k10_xtuple_0(A), k1_zfmisc_1(k4_ordinal1))) ) ) ).
fof(t6_lexbfs, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(A)))  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(A)))  =>  ~ ( ( ~ (B=C)  & k1_uproots(A, B, 1)=k1_uproots(A, C, 1)) ) ) ) ) ) ) ) ).
fof(d4_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v4_valued_0(A)) )  =>  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v4_valued_0(D)) )  =>  (D=k3_lexbfs(A, B, C) <=>  (k9_xtuple_0(D)=k9_xtuple_0(A) &  (! [E] :  ( ( (r2_hidden(E, B) & r2_hidden(E, k9_xtuple_0(A)))  => k1_funct_1(D, E)=k2_xcmplx_0(k1_funct_1(A, E), C))  &  ( ~ (r2_hidden(E, B))  => k1_funct_1(D, E)=k1_funct_1(A, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_lexbfs, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(k15_pre_poly(A)))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (D=k4_lexbfs(A, B, C) <=>  (r2_tarski(D, C) &  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) )  =>  (r2_tarski(E, C) => r1_termord(A, B, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) )  =>  (v2_lexbfs(A) <=>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (k1_funct_1(A, B)=k1_funct_1(A, C) => k1_funct_1(A, k1_nat_1(B, 1))=k1_funct_1(A, k1_nat_1(C, 1))) ) ) ) ) ) ) ) ).
fof(d7_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) )  =>  (v3_lexbfs(A) <=>  (? [B] :  (v7_ordinal1(B) &  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, C) => k1_funct_1(A, B)=k1_funct_1(A, C)) ) ) ) ) ) ) ) ).
fof(t7_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) )  =>  ( (v13_glib_000(A) & v2_lexbfs(A))  => v3_lexbfs(A)) ) ) ).
fof(t8_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) )  =>  (v3_lexbfs(A) => v13_glib_000(A)) ) ) ).
fof(t9_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v2_lexbfs(A) & v3_lexbfs(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(k39_glib_000(A), B) => k1_funct_1(A, k39_glib_000(A))=k1_funct_1(A, B)) ) ) ) ) ).
fof(t10_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v2_lexbfs(A) & v3_lexbfs(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(k39_glib_000(A), B) & r1_xxreal_0(B, C))  => k1_funct_1(A, C)=k1_funct_1(A, B)) ) ) ) ) ) ) ).
fof(d8_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) )  =>  (m1_lexbfs(B, A) <=>  (! [C] :  (v7_ordinal1(C) =>  (v1_funct_1(k1_funct_1(B, C)) & m1_subset_1(k1_funct_1(B, C), k1_zfmisc_1(k2_zfmisc_1(k6_glib_000(A), k4_ordinal1)))) ) ) ) ) ) ) ) ).
fof(d9_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_lexbfs(B, A) =>  (v4_lexbfs(B, A) <=>  (k5_lexbfs(A, B, k5_numbers)=k1_xboole_0 &  (v2_lexbfs(B) &  (v13_glib_000(B) &  (k39_glib_000(B)=k15_glib_000(A) &  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(k39_glib_000(B), C))  &  (! [D] :  (m1_subset_1(D, k6_glib_000(A)) =>  ~ ( ( ~ (r2_tarski(D, k1_relset_1(k6_glib_000(A), k5_lexbfs(A, B, C))))  & k5_lexbfs(A, B, k1_nat_1(C, 1))=k1_funct_4(k5_lexbfs(A, B, C), k17_funcop_1(D, k7_nat_d(k39_glib_000(B), C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  ( (v4_lexbfs(B, A) & m1_lexbfs(B, A))  =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (r1_xxreal_0(k39_glib_000(B), C))  =>  (r2_tarski(k6_lexbfs(A, B, C), k1_relset_1(k6_glib_000(A), k5_lexbfs(A, B, k1_nat_1(C, 1)))) & k1_relset_1(k6_glib_000(A), k5_lexbfs(A, B, k1_nat_1(C, 1)))=k2_xboole_0(k1_relset_1(k6_glib_000(A), k5_lexbfs(A, B, C)), k1_tarski(k6_lexbfs(A, B, C)))) ) ) ) ) ) ) ) ).
fof(t12_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  ( (v4_lexbfs(B, A) & m1_lexbfs(B, A))  =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (r1_xxreal_0(k39_glib_000(B), C))  => k1_recdef_1(k5_lexbfs(A, B, k1_nat_1(C, 1)), k6_lexbfs(A, B, C))=k7_nat_d(k39_glib_000(B), C)) ) ) ) ) ) ) ).
fof(t13_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  ( (v4_lexbfs(B, A) & m1_lexbfs(B, A))  =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(C, k39_glib_000(B)) => k4_card_1(k1_relset_1(k6_glib_000(A), k5_lexbfs(A, B, C)))=C) ) ) ) ) ) ) ).
fof(t14_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  ( (v4_lexbfs(B, A) & m1_lexbfs(B, A))  =>  (! [C] :  (v7_ordinal1(C) => k2_relset_1(k4_ordinal1, k5_lexbfs(A, B, C))=k2_finsub_1(k1_zfmisc_1(k4_ordinal1), k2_finseq_1(k39_glib_000(B)), k2_finseq_1(k7_nat_d(k39_glib_000(B), C)))) ) ) ) ) ) ).
fof(t15_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  ( (v4_lexbfs(B, A) & m1_lexbfs(B, A))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (r1_xxreal_0(k1_recdef_1(k5_lexbfs(A, B, C), D), k39_glib_000(B)) &  (r2_tarski(D, k1_relset_1(k6_glib_000(A), k5_lexbfs(A, B, C))) => r1_xxreal_0(1, k1_recdef_1(k5_lexbfs(A, B, C), D))) ) ) ) ) ) ) ) ) ).
fof(t16_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  ( (v4_lexbfs(B, A) & m1_lexbfs(B, A))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k7_nat_d(k39_glib_000(B), C)))  &  (r1_xxreal_0(D, k39_glib_000(B)) &  (! [E] :  (m1_subset_1(E, k6_glib_000(A)) =>  ~ ( (r2_tarski(E, k1_relset_1(k6_glib_000(A), k5_lexbfs(A, B, C))) & k1_recdef_1(k5_lexbfs(A, B, C), E)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  ( (v4_lexbfs(B, A) & m1_lexbfs(B, A))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(C, D) => r1_relset_1(k6_glib_000(A), k4_ordinal1, k5_lexbfs(A, B, C), k5_lexbfs(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t18_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  ( (v4_lexbfs(B, A) & m1_lexbfs(B, A))  =>  (! [C] :  (v7_ordinal1(C) => v2_funct_1(k5_lexbfs(A, B, C))) ) ) ) ) ) ).
fof(t19_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  ( (v4_lexbfs(B, A) & m1_lexbfs(B, A))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (r2_tarski(E, k1_relset_1(k6_glib_000(A), k5_lexbfs(A, B, C))) & r2_tarski(E, k1_relset_1(k6_glib_000(A), k5_lexbfs(A, B, D))))  => k1_recdef_1(k5_lexbfs(A, B, C), E)=k1_recdef_1(k5_lexbfs(A, B, D), E)) ) ) ) ) ) ) ) ) ) ).
fof(t20_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  ( (v4_lexbfs(B, A) & m1_lexbfs(B, A))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (r2_tarski(E, k1_relset_1(k6_glib_000(A), k5_lexbfs(A, B, C))) & k1_recdef_1(k5_lexbfs(A, B, C), E)=D)  => k6_lexbfs(A, B, k7_nat_d(k39_glib_000(B), D))=E) ) ) ) ) ) ) ) ) ) ).
fof(t21_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  ( (v4_lexbfs(B, A) & m1_lexbfs(B, A))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( ( ~ (r1_xxreal_0(k39_glib_000(B), D))  &  ( ~ (r1_xxreal_0(C, D))  &  ~ ( (r2_tarski(k6_lexbfs(A, B, D), k1_relset_1(k6_glib_000(A), k5_lexbfs(A, B, C))) & k1_recdef_1(k5_lexbfs(A, B, C), k6_lexbfs(A, B, D))=k7_nat_d(k39_glib_000(B), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  ( (v4_lexbfs(B, A) & m1_lexbfs(B, A))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (r2_tarski(D, k1_relset_1(k6_glib_000(A), k5_lexbfs(A, B, C))) =>  ( ~ (r1_xxreal_0(C, k7_nat_d(k39_glib_000(B), k1_recdef_1(k5_lexbfs(A, B, C), D))))  &  ~ (r1_xxreal_0(k1_recdef_1(k5_lexbfs(A, B, C), D), k7_nat_d(k39_glib_000(B), C))) ) ) ) ) ) ) ) ) ) ).
fof(t23_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  ( (v4_lexbfs(B, A) & m1_lexbfs(B, A))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (! [E] :  ( (r2_tarski(D, k1_relset_1(k6_glib_000(A), k5_lexbfs(A, B, C))) & r2_tarski(E, k1_relset_1(k6_glib_000(A), k5_lexbfs(A, B, C))))  =>  (r1_xxreal_0(k1_recdef_1(k5_lexbfs(A, B, C), E), k1_recdef_1(k5_lexbfs(A, B, C), D)) | r2_tarski(E, k1_relset_1(k6_glib_000(A), k5_lexbfs(A, B, k7_nat_d(k39_glib_000(B), k1_recdef_1(k5_lexbfs(A, B, C), D)))))) ) ) ) ) ) ) ) ) ) ).
fof(t24_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  ( (v4_lexbfs(B, A) & m1_lexbfs(B, A))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (! [E] :  ~ ( (r2_tarski(D, k1_relset_1(k6_glib_000(A), k5_lexbfs(A, B, C))) &  ( ~ (r1_xxreal_0(k1_recdef_1(k5_lexbfs(A, B, C), E), k1_recdef_1(k5_lexbfs(A, B, C), D)))  & r2_tarski(D, k1_relset_1(k6_glib_000(A), k5_lexbfs(A, B, k7_nat_d(k39_glib_000(B), k1_recdef_1(k5_lexbfs(A, B, C), E)))))) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  => k9_lexbfs(A)=k4_tarski(k1_xboole_0, k7_funcop_1(k6_glib_000(A), k1_xboole_0))) ) ).
fof(d13_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)))) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (v7_ordinal1(D) => k11_lexbfs(A, B, C, D)=k4_tarski(k1_funct_4(k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)), B), k17_funcop_1(C, k7_nat_d(k15_glib_000(A), D))), k1_lexbfs(k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k5_finsub_1(k4_ordinal1), k6_glib_000(A), B), k4_rfunct_3(k6_glib_000(A), k1_zfmisc_1(k4_ordinal1), k2_finsub_1(k1_zfmisc_1(k6_glib_000(A)), k2_chord(A, k6_domain_1(k6_glib_000(A), C)), k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)), B))), k6_domain_1(k4_ordinal1, k7_nat_d(k15_glib_000(A), D)))))) ) ) ) ) ) ) ) ).
fof(t25_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)))) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (! [E] :  (v7_ordinal1(E) =>  ( ~ (r2_tarski(D, k2_chord(A, k6_domain_1(k6_glib_000(A), C))))  => k1_funct_1(k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k5_finsub_1(k4_ordinal1), k6_glib_000(A), B), D)=k1_funct_1(k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k5_finsub_1(k4_ordinal1), k6_glib_000(A), k11_lexbfs(A, B, C, E)), D)) ) ) ) ) ) ) ) ) ) ).
fof(t26_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)))) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(D, k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)), B))) => k1_funct_1(k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k5_finsub_1(k4_ordinal1), k6_glib_000(A), k11_lexbfs(A, B, C, E)), D)=k1_funct_1(k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k5_finsub_1(k4_ordinal1), k6_glib_000(A), B), D)) ) ) ) ) ) ) ) ) ) ).
fof(t27_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)))) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(D, k2_chord(A, k6_domain_1(k6_glib_000(A), C))) =>  (r2_tarski(D, k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)), B))) | k1_funct_1(k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k5_finsub_1(k4_ordinal1), k6_glib_000(A), k11_lexbfs(A, B, C, E)), D)=k2_xboole_0(k1_funct_1(k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k5_finsub_1(k4_ordinal1), k6_glib_000(A), B), D), k6_domain_1(k4_ordinal1, k7_nat_d(k15_glib_000(A), E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)))) =>  ( (r1_xxreal_0(k15_glib_000(A), k4_card_1(k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)), B)))) => k12_lexbfs(A, B)=B)  &  ( ~ (r1_xxreal_0(k15_glib_000(A), k4_card_1(k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)), B)))))  => k12_lexbfs(A, B)=k11_lexbfs(A, B, k10_lexbfs(A, B), k4_card_1(k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)), B))))) ) ) ) ) ) ).
fof(d15_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) )  =>  (m2_lexbfs(B, A) <=>  (! [C] :  (v7_ordinal1(C) => m1_subset_1(k1_funct_1(B, C), k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1))))) ) ) ) ) ) ) ).
fof(d16_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m2_lexbfs(B, A) =>  (! [C] :  (m1_lexbfs(C, A) =>  (C=k15_lexbfs(A, B) <=>  (! [D] :  (v7_ordinal1(D) => r2_relset_1(k6_glib_000(A), k4_ordinal1, k5_lexbfs(A, C, D), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)), k13_lexbfs(A, B, D)))) ) ) ) ) ) ) ) ) ).
fof(d17_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m2_lexbfs(B, A) =>  (B=k16_lexbfs(A) <=>  (k13_lexbfs(A, B, k5_numbers)=k9_lexbfs(A) &  (! [C] :  (v7_ordinal1(C) => k13_lexbfs(A, B, k1_nat_1(C, 1))=k12_lexbfs(A, k13_lexbfs(A, B, C))) ) ) ) ) ) ) ) ).
fof(t28_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  => v2_lexbfs(k16_lexbfs(A))) ) ).
fof(t29_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)))) =>  (! [C] :  ~ ( ( ~ (r2_tarski(C, k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)), B))))  &  ( ~ (k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)), B))=k6_glib_000(A))  &  ~ (r1_termord(k4_ordinal1, k4_bagorder(k4_ordinal1), k1_uproots(k4_ordinal1, k17_lexbfs(k6_glib_000(A), k4_ordinal1, k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k5_finsub_1(k4_ordinal1), k6_glib_000(A), B), C), 1), k1_uproots(k4_ordinal1, k17_lexbfs(k6_glib_000(A), k4_ordinal1, k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k5_finsub_1(k4_ordinal1), k6_glib_000(A), B), k10_lexbfs(A, B)), 1))) ) ) ) ) ) ) ) ) ).
fof(t30_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)))) =>  ~ ( ( ~ (k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)), B))=k6_glib_000(A))  & r2_tarski(k10_lexbfs(A, B), k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)), B)))) ) ) ) ) ) ).
fof(t31_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(k15_glib_000(A), k4_card_1(k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)), k13_lexbfs(A, k16_lexbfs(A), B))))))  => k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)), k13_lexbfs(A, k16_lexbfs(A), k1_nat_1(B, 1)))=k1_funct_4(k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)), k13_lexbfs(A, k16_lexbfs(A), B)), k17_funcop_1(k10_lexbfs(A, k13_lexbfs(A, k16_lexbfs(A), B)), k7_nat_d(k15_glib_000(A), k4_card_1(k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)), k13_lexbfs(A, k16_lexbfs(A), B)))))))) ) ) ) ) ).
fof(t32_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(B, k15_glib_000(A)) => k4_card_1(k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)), k13_lexbfs(A, k16_lexbfs(A), B))))=B) ) ) ) ) ).
fof(t33_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(k15_glib_000(A), B) => k13_lexbfs(A, k16_lexbfs(A), k15_glib_000(A))=k13_lexbfs(A, k16_lexbfs(A), B)) ) ) ) ) ).
fof(t34_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(k15_glib_000(A), B) & r1_xxreal_0(B, C))  => k13_lexbfs(A, k16_lexbfs(A), B)=k13_lexbfs(A, k16_lexbfs(A), C)) ) ) ) ) ) ) ).
fof(t35_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  => v3_lexbfs(k16_lexbfs(A))) ) ).
fof(t36_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)), k13_lexbfs(A, k16_lexbfs(A), B)))=k6_glib_000(A) <=> r1_xxreal_0(k15_glib_000(A), B)) ) ) ) ) ).
fof(t37_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  => k39_glib_000(k16_lexbfs(A))=k15_glib_000(A)) ) ).
fof(t38_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  => v3_lexbfs(k15_lexbfs(A, k16_lexbfs(A)))) ) ).
fof(t39_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  => k39_glib_000(k15_lexbfs(A, k16_lexbfs(A)))=k39_glib_000(k16_lexbfs(A))) ) ).
fof(t40_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  => k40_glib_000(k15_lexbfs(A, k16_lexbfs(A)))=k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)), k14_lexbfs(A, k16_lexbfs(A)))) ) ).
fof(t41_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(k15_glib_000(A), B))  => k6_lexbfs(A, k15_lexbfs(A, k16_lexbfs(A)), B)=k10_lexbfs(A, k13_lexbfs(A, k16_lexbfs(A), B))) ) ) ) ) ).
fof(t42_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(k15_glib_000(A), B))  &  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  ~ ( (C=k10_lexbfs(A, k13_lexbfs(A, k16_lexbfs(A), B)) &  (! [D] :  ( (r2_tarski(D, k2_chord(A, k6_domain_1(k6_glib_000(A), C))) =>  (r2_tarski(D, k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)), k13_lexbfs(A, k16_lexbfs(A), B)))) | k17_lexbfs(k6_glib_000(A), k4_ordinal1, k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k5_finsub_1(k4_ordinal1), k6_glib_000(A), k13_lexbfs(A, k16_lexbfs(A), k1_nat_1(B, 1))), D)=k1_finsub_1(k1_zfmisc_1(k4_ordinal1), k17_lexbfs(k6_glib_000(A), k4_ordinal1, k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k5_finsub_1(k4_ordinal1), k6_glib_000(A), k13_lexbfs(A, k16_lexbfs(A), B)), D), k6_domain_1(k4_ordinal1, k7_nat_d(k15_glib_000(A), B)))) )  &  ( ~ ( (r2_tarski(D, k2_chord(A, k6_domain_1(k6_glib_000(A), C))) &  ~ (r2_tarski(D, k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)), k13_lexbfs(A, k16_lexbfs(A), B))))) ) )  => k17_lexbfs(k6_glib_000(A), k4_ordinal1, k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k5_finsub_1(k4_ordinal1), k6_glib_000(A), k13_lexbfs(A, k16_lexbfs(A), k1_nat_1(B, 1))), D)=k17_lexbfs(k6_glib_000(A), k4_ordinal1, k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k5_finsub_1(k4_ordinal1), k6_glib_000(A), k13_lexbfs(A, k16_lexbfs(A), B)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] : r1_tarski(k17_lexbfs(k6_glib_000(A), k4_ordinal1, k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k5_finsub_1(k4_ordinal1), k6_glib_000(A), k13_lexbfs(A, k16_lexbfs(A), B)), C), k2_finsub_1(k1_zfmisc_1(k4_ordinal1), k2_finseq_1(k15_glib_000(A)), k2_finseq_1(k7_nat_d(k15_glib_000(A), B))))) ) ) ) ) ).
fof(t44_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(C, D) => r1_tarski(k17_lexbfs(k6_glib_000(A), k4_ordinal1, k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k5_finsub_1(k4_ordinal1), k6_glib_000(A), k13_lexbfs(A, k16_lexbfs(A), C)), B), k17_lexbfs(k6_glib_000(A), k4_ordinal1, k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k5_finsub_1(k4_ordinal1), k6_glib_000(A), k13_lexbfs(A, k16_lexbfs(A), D)), B))) ) ) ) ) ) ) ) ).
fof(t45_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (! [E] :  ( (E=k10_lexbfs(A, k13_lexbfs(A, k16_lexbfs(A), C)) & r2_tarski(D, k2_chord(A, k1_tarski(E))))  =>  (r1_xxreal_0(k15_glib_000(A), C) |  (r1_xxreal_0(B, C) |  (r2_tarski(D, k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)), k13_lexbfs(A, k16_lexbfs(A), C)))) | r2_tarski(k7_nat_d(k15_glib_000(A), C), k17_lexbfs(k6_glib_000(A), k4_ordinal1, k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k5_finsub_1(k4_ordinal1), k6_glib_000(A), k13_lexbfs(A, k16_lexbfs(A), B)), D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (r1_xxreal_0(C, B))  =>  (! [D] :  ~ ( ( ~ (r2_tarski(k7_nat_d(k15_glib_000(A), B), k17_lexbfs(k6_glib_000(A), k4_ordinal1, k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k5_finsub_1(k4_ordinal1), k6_glib_000(A), k13_lexbfs(A, k16_lexbfs(A), k1_nat_1(B, 1))), D)))  & r2_tarski(k7_nat_d(k15_glib_000(A), B), k17_lexbfs(k6_glib_000(A), k4_ordinal1, k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k5_finsub_1(k4_ordinal1), k6_glib_000(A), k13_lexbfs(A, k16_lexbfs(A), C)), D))) ) ) ) ) ) ) ) ) ) ).
fof(t47_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(C, B) =>  (r1_xxreal_0(C, D) |  (! [E] :  ~ ( ( ~ (r2_tarski(k7_nat_d(k15_glib_000(A), D), k17_lexbfs(k6_glib_000(A), k4_ordinal1, k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k5_finsub_1(k4_ordinal1), k6_glib_000(A), k13_lexbfs(A, k16_lexbfs(A), C)), E)))  & r2_tarski(k7_nat_d(k15_glib_000(A), D), k17_lexbfs(k6_glib_000(A), k4_ordinal1, k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k5_finsub_1(k4_ordinal1), k6_glib_000(A), k13_lexbfs(A, k16_lexbfs(A), B)), E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(A)) =>  ~ ( (r2_tarski(C, k17_lexbfs(k6_glib_000(A), k4_ordinal1, k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k5_finsub_1(k4_ordinal1), k6_glib_000(A), k13_lexbfs(A, k16_lexbfs(A), B)), D)) &  (! [E] :  (m1_subset_1(E, k6_glib_000(A)) =>  ~ ( (k10_lexbfs(A, k13_lexbfs(A, k16_lexbfs(A), k7_nat_d(k15_glib_000(A), C)))=E &  ( ~ (r2_tarski(E, k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)), k13_lexbfs(A, k16_lexbfs(A), k7_nat_d(k15_glib_000(A), C))))))  & r2_tarski(D, k2_chord(A, k6_domain_1(k6_glib_000(A), E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  => k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)), k14_lexbfs(A, k16_lexbfs(A))))=k6_glib_000(A)) ) ).
fof(t50_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  => m3_chord(k2_funct_1(k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)), k14_lexbfs(A, k16_lexbfs(A)))), A)) ) ).
fof(t51_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(A)) =>  (! [E] :  (m1_subset_1(E, k6_glib_000(A)) =>  ( (r2_tarski(D, k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)), k13_lexbfs(A, k16_lexbfs(A), B)))) &  (r2_tarski(E, k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)), k13_lexbfs(A, k16_lexbfs(A), B)))) & C=k7_nat_d(k15_glib_000(A), k1_recdef_1(k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)), k13_lexbfs(A, k16_lexbfs(A), B)), E))) )  =>  (r1_xxreal_0(k1_recdef_1(k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)), k13_lexbfs(A, k16_lexbfs(A), B)), E), k1_recdef_1(k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)), k13_lexbfs(A, k16_lexbfs(A), B)), D)) | r1_termord(k4_ordinal1, k4_bagorder(k4_ordinal1), k1_uproots(k4_ordinal1, k17_lexbfs(k6_glib_000(A), k4_ordinal1, k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k5_finsub_1(k4_ordinal1), k6_glib_000(A), k13_lexbfs(A, k16_lexbfs(A), C)), D), 1), k1_uproots(k4_ordinal1, k17_lexbfs(k6_glib_000(A), k4_ordinal1, k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k5_finsub_1(k4_ordinal1), k6_glib_000(A), k13_lexbfs(A, k16_lexbfs(A), C)), E), 1))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(A)) =>  ~ ( (r2_tarski(C, k17_lexbfs(k6_glib_000(A), k4_ordinal1, k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k5_finsub_1(k4_ordinal1), k6_glib_000(A), k13_lexbfs(A, k16_lexbfs(A), B)), D)) &  (! [E] :  (m1_subset_1(E, k6_glib_000(A)) =>  ~ ( (r2_tarski(E, k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)), k13_lexbfs(A, k16_lexbfs(A), B)))) &  (k1_recdef_1(k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)), k13_lexbfs(A, k16_lexbfs(A), B)), E)=C & r2_tarski(D, k2_chord(A, k6_domain_1(k6_glib_000(A), E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k6_glib_000(A), k4_ordinal1))))  =>  (v5_lexbfs(B, A) <=>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(A)) =>  (! [E] :  (m1_subset_1(E, k6_glib_000(A)) =>  ~ ( (r2_tarski(C, k1_relset_1(k6_glib_000(A), B)) &  (r2_tarski(D, k1_relset_1(k6_glib_000(A), B)) &  (r2_tarski(E, k1_relset_1(k6_glib_000(A), B)) &  ( ~ (r1_xxreal_0(k1_recdef_1(B, D), k1_recdef_1(B, C)))  &  ( ~ (r1_xxreal_0(k1_recdef_1(B, E), k1_recdef_1(B, D)))  &  (r1_chord(A, C, E) &  ( ~ (r1_chord(A, D, E))  &  (! [F] :  (m1_subset_1(F, k6_glib_000(A)) =>  ~ ( (r2_tarski(F, k1_relset_1(k6_glib_000(A), B)) &  ( ~ (r1_xxreal_0(k1_recdef_1(B, F), k1_recdef_1(B, E)))  &  (r1_chord(A, D, F) &  ( ~ (r1_chord(A, C, F))  &  (! [G] :  (m1_subset_1(G, k6_glib_000(A)) =>  ~ ( ( ~ (G=F)  &  (r1_chord(A, G, D) &  ( ~ (r1_chord(A, G, C))  & r1_xxreal_0(k1_recdef_1(B, F), k1_recdef_1(B, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) => v5_lexbfs(k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)), k13_lexbfs(A, k16_lexbfs(A), B)), A)) ) ) ) ).
fof(t54_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) & v6_chord(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k6_glib_000(A), k4_ordinal1))))  =>  ( (v5_lexbfs(B, A) & k1_relset_1(k6_glib_000(A), B)=k6_glib_000(A))  =>  (! [C] :  (m3_chord(C, A) =>  (k2_funct_1(C)=B => v7_chord(C, A)) ) ) ) ) ) ) ) ).
fof(t55_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) & v6_chord(A)) ) ) ) ) )  =>  (v7_chord(k2_funct_1(k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)), k14_lexbfs(A, k16_lexbfs(A)))), A) & m3_chord(k2_funct_1(k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)), k14_lexbfs(A, k16_lexbfs(A)))), A)) ) ) ).
fof(d19_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  => k18_lexbfs(A)=k4_tarski(k1_xboole_0, k8_funcop_1(k4_ordinal1, k6_glib_000(A), k5_numbers))) ) ).
fof(d21_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k4_ordinal1))) =>  (! [C] : k20_lexbfs(A, B, C)=k4_tarski(k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k4_ordinal1), B), k3_lexbfs(k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k4_ordinal1, k6_glib_000(A), B), k2_finsub_1(k1_zfmisc_1(k6_glib_000(A)), k2_chord(A, k1_tarski(C)), k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k4_ordinal1), B))), 1))) ) ) ) ) ).
fof(d22_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k4_ordinal1))) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k4_ordinal1))) =>  (E=k21_lexbfs(A, B, C, D) <=>  (? [F] :  (m1_subset_1(F, k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k4_ordinal1))) &  (F=k4_tarski(k1_funct_4(k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k4_ordinal1), B), k17_funcop_1(C, k7_nat_d(k15_glib_000(A), D))), k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k4_ordinal1, k6_glib_000(A), B)) & E=k20_lexbfs(A, F, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d23_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k4_ordinal1))) =>  ( (r1_xxreal_0(k15_glib_000(A), k4_card_1(k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k4_ordinal1), B)))) => k22_lexbfs(A, B)=B)  &  ( ~ (r1_xxreal_0(k15_glib_000(A), k4_card_1(k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k4_ordinal1), B)))))  => k22_lexbfs(A, B)=k21_lexbfs(A, B, k19_lexbfs(A, B), k4_card_1(k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k4_ordinal1), B))))) ) ) ) ) ) ).
fof(d24_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) )  =>  (m3_lexbfs(B, A) <=>  (! [C] :  (v7_ordinal1(C) => m1_subset_1(k1_funct_1(B, C), k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k4_ordinal1)))) ) ) ) ) ) ) ).
fof(d25_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m3_lexbfs(B, A) =>  (! [C] :  (m1_lexbfs(C, A) =>  (C=k25_lexbfs(A, B) <=>  (! [D] :  (v7_ordinal1(D) => r2_relset_1(k6_glib_000(A), k4_ordinal1, k5_lexbfs(A, C, D), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k4_ordinal1), k23_lexbfs(A, B, D)))) ) ) ) ) ) ) ) ) ).
fof(d26_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m3_lexbfs(B, A) =>  (B=k26_lexbfs(A) <=>  (k23_lexbfs(A, B, k5_numbers)=k18_lexbfs(A) &  (! [C] :  (v7_ordinal1(C) => k23_lexbfs(A, B, k1_nat_1(C, 1))=k22_lexbfs(A, k23_lexbfs(A, B, C))) ) ) ) ) ) ) ) ).
fof(t56_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  => v2_lexbfs(k26_lexbfs(A))) ) ).
fof(t57_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] : k1_recdef_1(k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k4_ordinal1, k6_glib_000(A), k18_lexbfs(A)), B)=k5_numbers) ) ) ).
fof(t58_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k4_ordinal1))) =>  (! [C] :  ~ ( ( ~ (r2_tarski(C, k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k4_ordinal1), B))))  &  ( ~ (k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k4_ordinal1), B))=k6_glib_000(A))  &  ~ (r1_xxreal_0(k1_recdef_1(k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k4_ordinal1, k6_glib_000(A), B), C), k1_recdef_1(k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k4_ordinal1, k6_glib_000(A), B), k19_lexbfs(A, B)))) ) ) ) ) ) ) ) ) ).
fof(t59_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k4_ordinal1))) =>  ~ ( ( ~ (k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k4_ordinal1), B))=k6_glib_000(A))  & r2_tarski(k19_lexbfs(A, B), k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k4_ordinal1), B)))) ) ) ) ) ) ).
fof(t60_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k4_ordinal1))) =>  (! [C] :  (! [D] :  ( ~ (r2_tarski(D, k2_chord(A, k1_tarski(C))))  => k1_recdef_1(k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k4_ordinal1, k6_glib_000(A), B), D)=k1_recdef_1(k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k4_ordinal1, k6_glib_000(A), k20_lexbfs(A, B, C)), D)) ) ) ) ) ) ) ).
fof(t61_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k4_ordinal1))) =>  (! [C] :  (! [D] :  (r2_tarski(D, k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k4_ordinal1), B))) => k1_recdef_1(k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k4_ordinal1, k6_glib_000(A), B), D)=k1_recdef_1(k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k4_ordinal1, k6_glib_000(A), k20_lexbfs(A, B, C)), D)) ) ) ) ) ) ) ).
fof(t62_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k4_ordinal1))) =>  (! [C] :  (! [D] :  ( (r2_tarski(D, k1_relset_1(k6_glib_000(A), k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k4_ordinal1, k6_glib_000(A), B))) & r2_tarski(D, k2_chord(A, k1_tarski(C))))  =>  (r2_tarski(D, k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k4_ordinal1), B))) | k1_recdef_1(k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k4_ordinal1, k6_glib_000(A), k20_lexbfs(A, B, C)), D)=k1_nat_1(k1_recdef_1(k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k4_ordinal1, k6_glib_000(A), B), D), 1)) ) ) ) ) ) ) ) ).
fof(t63_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k4_ordinal1))) =>  (! [C] :  (k1_relset_1(k6_glib_000(A), k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k4_ordinal1, k6_glib_000(A), B))=k6_glib_000(A) => k1_relset_1(k6_glib_000(A), k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k4_ordinal1, k6_glib_000(A), k20_lexbfs(A, B, C)))=k6_glib_000(A)) ) ) ) ) ) ).
fof(t64_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(k15_glib_000(A), k4_card_1(k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k4_ordinal1), k23_lexbfs(A, k26_lexbfs(A), B))))))  => k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k4_ordinal1), k23_lexbfs(A, k26_lexbfs(A), k1_nat_1(B, 1)))=k1_funct_4(k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k4_ordinal1), k23_lexbfs(A, k26_lexbfs(A), B)), k17_funcop_1(k19_lexbfs(A, k23_lexbfs(A, k26_lexbfs(A), B)), k7_nat_d(k15_glib_000(A), k4_card_1(k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k4_ordinal1), k23_lexbfs(A, k26_lexbfs(A), B)))))))) ) ) ) ) ).
fof(t65_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(B, k15_glib_000(A)) => k4_card_1(k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k4_ordinal1), k23_lexbfs(A, k26_lexbfs(A), B))))=B) ) ) ) ) ).
fof(t66_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(k15_glib_000(A), B) => k23_lexbfs(A, k26_lexbfs(A), k15_glib_000(A))=k23_lexbfs(A, k26_lexbfs(A), B)) ) ) ) ) ).
fof(t67_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(k15_glib_000(A), B) & r1_xxreal_0(B, C))  => k23_lexbfs(A, k26_lexbfs(A), B)=k23_lexbfs(A, k26_lexbfs(A), C)) ) ) ) ) ) ) ).
fof(t68_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  => v3_lexbfs(k26_lexbfs(A))) ) ).
fof(t69_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k4_ordinal1), k23_lexbfs(A, k26_lexbfs(A), B)))=k6_glib_000(A) <=> r1_xxreal_0(k15_glib_000(A), B)) ) ) ) ) ).
fof(t70_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  => k39_glib_000(k26_lexbfs(A))=k15_glib_000(A)) ) ).
fof(t71_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  => v3_lexbfs(k25_lexbfs(A, k26_lexbfs(A)))) ) ).
fof(t72_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  => k39_glib_000(k25_lexbfs(A, k26_lexbfs(A)))=k39_glib_000(k26_lexbfs(A))) ) ).
fof(t73_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  => v4_lexbfs(k25_lexbfs(A, k26_lexbfs(A)), A)) ) ).
fof(t74_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(k15_glib_000(A), B))  => k6_lexbfs(A, k25_lexbfs(A, k26_lexbfs(A)), B)=k19_lexbfs(A, k23_lexbfs(A, k26_lexbfs(A), B))) ) ) ) ) ).
fof(t75_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(k15_glib_000(A), B))  &  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  ~ ( (C=k19_lexbfs(A, k23_lexbfs(A, k26_lexbfs(A), B)) &  (! [D] :  ( (r2_tarski(D, k2_chord(A, k6_domain_1(k6_glib_000(A), C))) =>  (r2_tarski(D, k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k4_ordinal1), k23_lexbfs(A, k26_lexbfs(A), B)))) | k1_recdef_1(k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k4_ordinal1, k6_glib_000(A), k23_lexbfs(A, k26_lexbfs(A), k1_nat_1(B, 1))), D)=k1_nat_1(k1_recdef_1(k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k4_ordinal1, k6_glib_000(A), k23_lexbfs(A, k26_lexbfs(A), B)), D), 1)) )  &  ( ~ ( (r2_tarski(D, k2_chord(A, k6_domain_1(k6_glib_000(A), C))) &  ~ (r2_tarski(D, k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k4_ordinal1), k23_lexbfs(A, k26_lexbfs(A), B))))) ) )  => k1_recdef_1(k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k4_ordinal1, k6_glib_000(A), k23_lexbfs(A, k26_lexbfs(A), k1_nat_1(B, 1))), D)=k1_recdef_1(k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k4_ordinal1, k6_glib_000(A), k23_lexbfs(A, k26_lexbfs(A), B)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t76_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (r2_tarski(C, k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k4_ordinal1), k23_lexbfs(A, k26_lexbfs(A), B)))))  => k1_recdef_1(k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k4_ordinal1, k6_glib_000(A), k23_lexbfs(A, k26_lexbfs(A), B)), C)=k4_card_1(k3_finsub_1(k1_zfmisc_1(k6_glib_000(A)), k2_chord(A, k1_tarski(C)), k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k4_ordinal1), k23_lexbfs(A, k26_lexbfs(A), B)))))) ) ) ) ) ) ).
fof(d27_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k6_glib_000(A), k4_ordinal1))))  =>  (v6_lexbfs(B, A) <=>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  (! [D] :  (m1_subset_1(D, k6_glib_000(A)) =>  (! [E] :  (m1_subset_1(E, k6_glib_000(A)) =>  ~ ( (r2_tarski(C, k1_relset_1(k6_glib_000(A), B)) &  (r2_tarski(D, k1_relset_1(k6_glib_000(A), B)) &  (r2_tarski(E, k1_relset_1(k6_glib_000(A), B)) &  ( ~ (r1_xxreal_0(k1_recdef_1(B, D), k1_recdef_1(B, C)))  &  ( ~ (r1_xxreal_0(k1_recdef_1(B, E), k1_recdef_1(B, D)))  &  (r1_chord(A, C, E) &  ( ~ (r1_chord(A, D, E))  &  (! [F] :  (m1_subset_1(F, k6_glib_000(A)) =>  ~ ( (r2_tarski(F, k1_relset_1(k6_glib_000(A), B)) &  ( ~ (r1_xxreal_0(k1_recdef_1(B, F), k1_recdef_1(B, D)))  &  (r1_chord(A, D, F) &  ~ (r1_chord(A, C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t77_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) => v6_lexbfs(k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k4_ordinal1), k23_lexbfs(A, k26_lexbfs(A), B)), A)) ) ) ) ).
fof(t78_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  => v6_lexbfs(k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)), k14_lexbfs(A, k16_lexbfs(A))), A)) ) ).
fof(t79_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) & v6_chord(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k6_glib_000(A), k4_ordinal1))))  =>  ( (v6_lexbfs(B, A) & k1_relset_1(k6_glib_000(A), B)=k6_glib_000(A))  =>  (! [C] :  (m3_chord(C, A) =>  (k2_funct_1(C)=B => v7_chord(C, A)) ) ) ) ) ) ) ) ).
fof(dt_k1_lexbfs, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k1_lexbfs(A, B)) & v1_funct_1(k1_lexbfs(A, B))) ) ) ).
fof(dt_k2_lexbfs, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_finset_1(A) & v1_lexbfs(A)) ) )  =>  (v1_finset_1(k2_lexbfs(A, B)) & m1_subset_1(k2_lexbfs(A, B), k1_zfmisc_1(k4_ordinal1))) ) ) ).
fof(redefinition_k2_lexbfs, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_finset_1(A) & v1_lexbfs(A)) ) )  => k2_lexbfs(A, B)=k1_funct_1(A, B)) ) ).
fof(dt_k3_lexbfs, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v4_valued_0(A)) )  & v7_ordinal1(C))  =>  (v1_relat_1(k3_lexbfs(A, B, C)) &  (v1_funct_1(k3_lexbfs(A, B, C)) & v4_valued_0(k3_lexbfs(A, B, C))) ) ) ) ).
fof(dt_k4_lexbfs, axiom,  (! [A, B, C] :  ( (v3_ordinal1(A) &  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  &  ( ~ (v1_xboole_0(C))  &  (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(k15_pre_poly(A)))) ) ) )  =>  (v1_relat_1(k4_lexbfs(A, B, C)) &  (v4_relat_1(k4_lexbfs(A, B, C), A) &  (v1_funct_1(k4_lexbfs(A, B, C)) &  (v1_partfun1(k4_lexbfs(A, B, C), A) &  (v4_valued_0(k4_lexbfs(A, B, C)) & v2_pre_poly(k4_lexbfs(A, B, C))) ) ) ) ) ) ) ).
fof(dt_m1_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_lexbfs(B, A) =>  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) ) ) ) ) ) ).
fof(existence_m1_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (? [B] : m1_lexbfs(B, A)) ) ) ).
fof(dt_k5_lexbfs, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  &  (m1_lexbfs(B, A) & v7_ordinal1(C)) )  =>  (v1_funct_1(k5_lexbfs(A, B, C)) & m1_subset_1(k5_lexbfs(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k6_glib_000(A), k4_ordinal1)))) ) ) ).
fof(redefinition_k5_lexbfs, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  &  (m1_lexbfs(B, A) & v7_ordinal1(C)) )  => k5_lexbfs(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k7_lexbfs, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(D, k2_zfmisc_1(k3_rfunct_3(A, B), C)))  => m2_rfunct_3(k7_lexbfs(A, B, C, D), A, B, k3_rfunct_3(A, B))) ) ).
fof(redefinition_k7_lexbfs, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(D, k2_zfmisc_1(k3_rfunct_3(A, B), C)))  => k7_lexbfs(A, B, C, D)=k1_xtuple_0(D)) ) ).
fof(dt_k8_lexbfs, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(D, k2_zfmisc_1(A, k9_funct_2(C, B)))) )  => m2_funct_2(k8_lexbfs(A, B, C, D), C, B, k9_funct_2(C, B))) ) ).
fof(redefinition_k8_lexbfs, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(D, k2_zfmisc_1(A, k9_funct_2(C, B)))) )  => k8_lexbfs(A, B, C, D)=k2_xtuple_0(D)) ) ).
fof(dt_k9_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  => m1_subset_1(k9_lexbfs(A), k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1))))) ) ).
fof(dt_k10_lexbfs, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  & m1_subset_1(B, k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)))))  => m1_subset_1(k10_lexbfs(A, B), k6_glib_000(A))) ) ).
fof(dt_k11_lexbfs, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  &  (m1_subset_1(B, k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)))) &  (m1_subset_1(C, k6_glib_000(A)) & v7_ordinal1(D)) ) )  => m1_subset_1(k11_lexbfs(A, B, C, D), k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1))))) ) ).
fof(dt_k12_lexbfs, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  & m1_subset_1(B, k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)))))  => m1_subset_1(k12_lexbfs(A, B), k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1))))) ) ).
fof(dt_m2_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m2_lexbfs(B, A) =>  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) ) ) ) ) ) ).
fof(existence_m2_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (? [B] : m2_lexbfs(B, A)) ) ) ).
fof(dt_k13_lexbfs, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (m2_lexbfs(B, A) & v7_ordinal1(C)) )  => m1_subset_1(k13_lexbfs(A, B, C), k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1))))) ) ).
fof(redefinition_k13_lexbfs, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (m2_lexbfs(B, A) & v7_ordinal1(C)) )  => k13_lexbfs(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k14_lexbfs, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m2_lexbfs(B, A))  => m1_subset_1(k14_lexbfs(A, B), k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1))))) ) ).
fof(redefinition_k14_lexbfs, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m2_lexbfs(B, A))  => k14_lexbfs(A, B)=k40_glib_000(B)) ) ).
fof(dt_k15_lexbfs, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  & m2_lexbfs(B, A))  => m1_lexbfs(k15_lexbfs(A, B), A)) ) ).
fof(dt_k16_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  => m2_lexbfs(k16_lexbfs(A), A)) ) ).
fof(dt_k17_lexbfs, axiom,  (! [A, B, C, D] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_finsub_1(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_finsub_1(B))))) )  =>  (v1_finset_1(k17_lexbfs(A, B, C, D)) & m1_subset_1(k17_lexbfs(A, B, C, D), k1_zfmisc_1(B))) ) ) ).
fof(redefinition_k17_lexbfs, axiom,  (! [A, B, C, D] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_finsub_1(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_finsub_1(B))))) )  => k17_lexbfs(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(dt_k18_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  => m1_subset_1(k18_lexbfs(A), k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k4_ordinal1)))) ) ).
fof(dt_k19_lexbfs, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  & m1_subset_1(B, k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k4_ordinal1))))  => m1_subset_1(k19_lexbfs(A, B), k6_glib_000(A))) ) ).
fof(dt_k20_lexbfs, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  & m1_subset_1(B, k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k4_ordinal1))))  => m1_subset_1(k20_lexbfs(A, B, C), k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k4_ordinal1)))) ) ).
fof(dt_k21_lexbfs, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  &  (m1_subset_1(B, k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k4_ordinal1))) &  (m1_subset_1(C, k6_glib_000(A)) & v7_ordinal1(D)) ) )  => m1_subset_1(k21_lexbfs(A, B, C, D), k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k4_ordinal1)))) ) ).
fof(dt_k22_lexbfs, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  & m1_subset_1(B, k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k4_ordinal1))))  => m1_subset_1(k22_lexbfs(A, B), k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k4_ordinal1)))) ) ).
fof(dt_m3_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m3_lexbfs(B, A) =>  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) ) ) ) ) ) ).
fof(existence_m3_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (? [B] : m3_lexbfs(B, A)) ) ) ).
fof(dt_k23_lexbfs, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (m3_lexbfs(B, A) & v7_ordinal1(C)) )  => m1_subset_1(k23_lexbfs(A, B, C), k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k4_ordinal1)))) ) ).
fof(redefinition_k23_lexbfs, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (m3_lexbfs(B, A) & v7_ordinal1(C)) )  => k23_lexbfs(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k24_lexbfs, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m3_lexbfs(B, A))  => m1_subset_1(k24_lexbfs(A, B), k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k4_ordinal1)))) ) ).
fof(redefinition_k24_lexbfs, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m3_lexbfs(B, A))  => k24_lexbfs(A, B)=k40_glib_000(B)) ) ).
fof(dt_k25_lexbfs, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  & m3_lexbfs(B, A))  => m1_lexbfs(k25_lexbfs(A, B), A)) ) ).
fof(dt_k26_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  => m3_lexbfs(k26_lexbfs(A), A)) ) ).
fof(t1_lexbfs, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, C)))) )  =>  (v2_funct_1(D) => k1_card_1(a_4_0_lexbfs(A, B, C, D))=k1_nat_1(B, 1)) ) ) ) ) ) ) ) ) ).
fof(d10_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  ( (v4_lexbfs(B, A) & m1_lexbfs(B, A))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (r1_xxreal_0(k39_glib_000(B), C) =>  (D=k6_lexbfs(A, B, C) <=> D=o_1_0_lexbfs(A)) )  &  ( ~ (r1_xxreal_0(k39_glib_000(B), C))  =>  (D=k6_lexbfs(A, B, C) <=>  ( ~ (r2_tarski(D, k1_relset_1(k6_glib_000(A), k5_lexbfs(A, B, C))))  & k5_lexbfs(A, B, k1_nat_1(C, 1))=k1_funct_4(k5_lexbfs(A, B, C), k17_funcop_1(D, k7_nat_d(k39_glib_000(B), C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)))) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  ( (k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)), B))=k6_glib_000(A) =>  (C=k10_lexbfs(A, B) <=> C=o_1_0_lexbfs(A)) )  &  ( ~ (k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)), B))=k6_glib_000(A))  =>  (C=k10_lexbfs(A, B) <=>  (? [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(k4_ordinal1)))) )  &  (? [E] :  ( ( ~ (v1_xboole_0(E))  &  (v1_finset_1(E) & m1_subset_1(E, k1_zfmisc_1(k15_pre_poly(k4_ordinal1)))) )  &  (? [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  &  (D=k10_xtuple_0(F) &  (F=k5_relset_1(k6_glib_000(A), k5_finsub_1(k4_ordinal1), k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k5_finsub_1(k4_ordinal1), k6_glib_000(A), B), k6_subset_1(k6_glib_000(A), k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k5_finsub_1(k4_ordinal1)), B)))) &  ( (! [G] :  ( (v1_finset_1(G) & m1_subset_1(G, k1_zfmisc_1(k4_ordinal1)))  =>  (r2_tarski(G, D) => r2_tarski(k1_uproots(k4_ordinal1, G, 1), E)) ) )  &  ( (! [G] :  ~ ( (r2_tarski(G, E) &  (! [H] :  ( (v1_finset_1(H) & m1_subset_1(H, k1_zfmisc_1(k4_ordinal1)))  =>  ~ ( (r2_tarski(H, D) & G=k1_uproots(k4_ordinal1, H, 1)) ) ) ) ) ) )  & C=o_2_0_lexbfs(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d20_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k9_funct_2(k6_glib_000(A), k4_ordinal1))) =>  (! [C] :  (m1_subset_1(C, k6_glib_000(A)) =>  ( (k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k4_ordinal1), B))=k6_glib_000(A) =>  (C=k19_lexbfs(A, B) <=> C=o_1_0_lexbfs(A)) )  &  ( ~ (k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k4_ordinal1), B))=k6_glib_000(A))  =>  (C=k19_lexbfs(A, B) <=>  (? [D] :  ( ( ~ (v1_xboole_0(D))  &  (v6_membered(D) & v1_finset_1(D)) )  &  (? [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  &  (D=k10_xtuple_0(E) &  (E=k5_relset_1(k6_glib_000(A), k4_ordinal1, k8_lexbfs(k3_rfunct_3(k6_glib_000(A), k4_ordinal1), k4_ordinal1, k6_glib_000(A), B), k6_subset_1(k6_glib_000(A), k1_relset_1(k6_glib_000(A), k7_lexbfs(k6_glib_000(A), k4_ordinal1, k9_funct_2(k6_glib_000(A), k4_ordinal1), B)))) & C=o_2_1_lexbfs(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_lexbfs, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(B, k4_ordinal1) &  (m1_subset_1(C, k4_ordinal1) &  ( ~ (v1_xboole_0(D))  &  (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, D)))) ) ) ) )  =>  (r2_hidden(A, a_4_0_lexbfs(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, k4_ordinal1) &  (A=k8_nat_1(D, E, F) &  (r1_xxreal_0(B, F) & r1_xxreal_0(F, k1_nat_1(B, C))) ) ) ) ) ) ) ).
fof(dt_o_1_0_lexbfs, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  => m1_subset_1(o_1_0_lexbfs(A), k6_glib_000(A))) ) ).
fof(dt_o_2_0_lexbfs, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k15_pre_poly(k4_ordinal1)))) )  &  (v1_relat_1(B) & v1_funct_1(B)) )  => m1_subset_1(o_2_0_lexbfs(A, B), k8_relat_1(B, k6_domain_1(k1_zfmisc_1(k4_ordinal1), k22_pre_poly(k4_ordinal1, k4_lexbfs(k4_ordinal1, k4_bagorder(k4_ordinal1), A)))))) ) ).
fof(dt_o_2_1_lexbfs, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v6_membered(A) & v1_finset_1(A)) )  &  (v1_relat_1(B) & v1_funct_1(B)) )  => m1_subset_1(o_2_1_lexbfs(A, B), k8_relat_1(B, k1_tarski(k1_xxreal_2(A))))) ) ).
fof(cc1_lfuzzy_0, axiom,  (! [A] :  (l1_orders_2(A) =>  (v2_lfuzzy_0(A) =>  ( ~ (v2_struct_0(A))  & v1_lfuzzy_0(A)) ) ) ) ).
fof(cc2_lfuzzy_0, axiom,  (! [A] :  (l1_orders_2(A) =>  (v2_struct_0(A) => v1_lfuzzy_0(A)) ) ) ).
fof(rc1_lfuzzy_0, axiom,  (? [A] :  (l1_orders_2(A) &  (v1_orders_2(A) & v2_lfuzzy_0(A)) ) ) ).
fof(cc3_lfuzzy_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_lfuzzy_0(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v1_xreal_0(B)) ) ) ) ).
fof(fc1_lfuzzy_0, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v3_membered(A))  =>  ( ~ (v2_struct_0(k1_lfuzzy_0(A)))  &  (v1_orders_2(k1_lfuzzy_0(A)) & v1_lfuzzy_0(k1_lfuzzy_0(A))) ) ) ) ).
fof(cc4_lfuzzy_0, axiom,  (! [A] :  (l1_orders_2(A) =>  (v1_lfuzzy_0(A) =>  (v3_orders_2(A) &  (v4_orders_2(A) & v5_orders_2(A)) ) ) ) ) ).
fof(cc5_lfuzzy_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  & v1_lfuzzy_0(A))  =>  ( ~ (v2_struct_0(A))  &  (v16_waybel_0(A) & v1_lfuzzy_0(A)) ) ) ) ) ).
fof(cc6_lfuzzy_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  & v1_lfuzzy_0(A))  =>  ( ~ (v2_struct_0(A))  &  (v1_lattice3(A) &  (v2_lattice3(A) & v1_lfuzzy_0(A)) ) ) ) ) ) ).
fof(ie1_lfuzzy_0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_lfuzzy_0(A) & l1_orders_2(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k13_lattice3(A, B, C)=k2_lfuzzy_0(A, B, C)) ) ).
fof(ie2_lfuzzy_0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_lfuzzy_0(A) & l1_orders_2(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k12_lattice3(A, B, C)=k3_lfuzzy_0(A, B, C)) ) ).
fof(cc7_lfuzzy_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  & v2_lfuzzy_0(A))  =>  ( ~ (v2_struct_0(A))  & v3_yellow_0(A)) ) ) ) ).
fof(cc8_lfuzzy_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  & v2_lfuzzy_0(A))  =>  ( ~ (v2_struct_0(A))  &  (v3_lattice3(A) & v2_lfuzzy_0(A)) ) ) ) ) ).
fof(cc9_lfuzzy_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & v16_waybel_0(A)) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & v2_waybel_1(A)) ) ) ) ) ) ) ) ).
fof(cc10_lfuzzy_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  & v2_lfuzzy_0(A))  =>  ( ~ (v2_struct_0(A))  &  (v9_waybel_1(A) & v2_lfuzzy_0(A)) ) ) ) ) ).
fof(fc2_lfuzzy_0, axiom,  ~ (v1_xboole_0(k1_xxreal_1(k5_numbers, 1))) ).
fof(fc3_lfuzzy_0, axiom,  (v1_orders_2(k1_lfuzzy_0(k1_rcomp_1(k5_numbers, 1))) &  (v1_lfuzzy_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers, 1))) & v2_lfuzzy_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers, 1)))) ) ).
fof(fc4_lfuzzy_0, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v3_lattice3(B) &  (v9_waybel_1(B) & l1_orders_2(B)) ) ) ) ) ) ) )  =>  (v1_orders_2(k5_yellow_1(A, B)) & v9_waybel_1(k5_yellow_1(A, B))) ) ) ).
fof(fc5_lfuzzy_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v3_orders_2(k4_lfuzzy_0(A)) &  (v4_orders_2(k4_lfuzzy_0(A)) &  (v5_orders_2(k4_lfuzzy_0(A)) &  (v1_lattice3(k4_lfuzzy_0(A)) &  (v2_lattice3(k4_lfuzzy_0(A)) &  (v3_lattice3(k4_lfuzzy_0(A)) &  (v1_monoid_0(k4_lfuzzy_0(A)) & v9_waybel_1(k4_lfuzzy_0(A))) ) ) ) ) ) ) ) ) ).
fof(d1_lfuzzy_0, axiom,  (! [A] :  (l1_orders_2(A) =>  (v1_lfuzzy_0(A) <=>  (r1_tarski(u1_struct_0(A), k1_numbers) &  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r2_hidden(B, u1_struct_0(A)) & r2_hidden(C, u1_struct_0(A)))  =>  (r2_hidden(k4_tarski(B, C), u1_orders_2(A)) <=> r1_xxreal_0(B, C)) ) ) ) ) ) ) ) ) ) ).
fof(d2_lfuzzy_0, axiom,  (! [A] :  (l1_orders_2(A) =>  (v2_lfuzzy_0(A) <=>  (v1_lfuzzy_0(A) &  (? [B] :  (v1_xreal_0(B) &  (? [C] :  (v1_xreal_0(C) &  (r1_xxreal_0(B, C) & u1_struct_0(A)=k1_rcomp_1(B, C)) ) ) ) ) ) ) ) ) ).
fof(t1_lfuzzy_0, axiom,  (! [A] :  (v3_membered(A) =>  (? [B] :  ( (v1_orders_2(B) & l1_orders_2(B))  &  (u1_struct_0(B)=A & v1_lfuzzy_0(B)) ) ) ) ) ).
fof(t2_lfuzzy_0, axiom,  (! [A] :  ( (v1_lfuzzy_0(A) & l1_orders_2(A))  =>  (! [B] :  ( (v1_lfuzzy_0(B) & l1_orders_2(B))  =>  (u1_struct_0(A)=u1_struct_0(B) => g1_orders_2(u1_struct_0(A), u1_orders_2(A))=g1_orders_2(u1_struct_0(B), u1_orders_2(B))) ) ) ) ) ).
fof(d3_lfuzzy_0, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  ( (v1_orders_2(B) &  (v1_lfuzzy_0(B) & l1_orders_2(B)) )  =>  (B=k1_lfuzzy_0(A) <=> u1_struct_0(B)=A) ) ) ) ) ).
fof(t3_lfuzzy_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_lfuzzy_0(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_xxreal_0(B, C) <=> r1_orders_2(A, B, C)) ) ) ) ) ) ) ).
fof(t4_lfuzzy_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_lfuzzy_0(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k13_lattice3(A, B, C)=k2_lfuzzy_0(A, B, C)) ) ) ) ) ) ).
fof(t5_lfuzzy_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_lfuzzy_0(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k12_lattice3(A, B, C)=k3_lfuzzy_0(A, B, C)) ) ) ) ) ) ).
fof(t6_lfuzzy_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_lfuzzy_0(A) & l1_orders_2(A)) )  =>  ( (? [B] :  (v1_xreal_0(B) &  (r2_hidden(B, u1_struct_0(A)) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, u1_struct_0(A)) => r1_xxreal_0(B, C)) ) ) ) ) )  <=> v1_yellow_0(A)) ) ) ).
fof(t7_lfuzzy_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_lfuzzy_0(A) & l1_orders_2(A)) )  =>  ( (? [B] :  (v1_xreal_0(B) &  (r2_hidden(B, u1_struct_0(A)) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, u1_struct_0(A)) => r1_xxreal_0(C, B)) ) ) ) ) )  <=> v2_yellow_0(A)) ) ) ).
fof(t8_lfuzzy_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_lfuzzy_0(A) & l1_orders_2(A)) )  =>  (! [B] : r1_yellow_0(A, B)) ) ) ).
fof(t9_lfuzzy_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_yellow_1(B) &  (v4_waybel_3(B) & v5_waybel_3(B)) ) ) ) ) )  =>  ( (! [C] :  (m1_subset_1(C, A) =>  (v3_orders_2(k3_waybel_3(A, B, C)) &  (v4_orders_2(k3_waybel_3(A, B, C)) &  (v5_orders_2(k3_waybel_3(A, B, C)) &  (v1_lattice3(k3_waybel_3(A, B, C)) & l1_orders_2(k3_waybel_3(A, B, C))) ) ) ) ) )  => v1_lattice3(k4_yellow_1(A, B))) ) ) ) ) ).
fof(t10_lfuzzy_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_yellow_1(B) &  (v4_waybel_3(B) & v5_waybel_3(B)) ) ) ) ) )  =>  ( (! [C] :  (m1_subset_1(C, A) =>  (v3_orders_2(k3_waybel_3(A, B, C)) &  (v4_orders_2(k3_waybel_3(A, B, C)) &  (v5_orders_2(k3_waybel_3(A, B, C)) &  (v2_lattice3(k3_waybel_3(A, B, C)) & l1_orders_2(k3_waybel_3(A, B, C))) ) ) ) ) )  => v2_lattice3(k4_yellow_1(A, B))) ) ) ) ) ).
fof(t11_lfuzzy_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_yellow_1(B) &  (v4_waybel_3(B) & v5_waybel_3(B)) ) ) ) ) )  =>  ( (! [C] :  (m1_subset_1(C, A) =>  (v3_orders_2(k3_waybel_3(A, B, C)) &  (v4_orders_2(k3_waybel_3(A, B, C)) &  (v5_orders_2(k3_waybel_3(A, B, C)) &  (v2_lattice3(k3_waybel_3(A, B, C)) & l1_orders_2(k3_waybel_3(A, B, C))) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_yellow_1(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k4_yellow_1(A, B))) =>  (! [E] :  (m1_subset_1(E, A) => k4_waybel_3(A, B, k11_lattice3(k4_yellow_1(A, B), C, D), E)=k11_lattice3(k3_waybel_3(A, B, E), k4_waybel_3(A, B, C, E), k4_waybel_3(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_lfuzzy_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_yellow_1(B) &  (v4_waybel_3(B) & v5_waybel_3(B)) ) ) ) ) )  =>  ( (! [C] :  (m1_subset_1(C, A) =>  (v3_orders_2(k3_waybel_3(A, B, C)) &  (v4_orders_2(k3_waybel_3(A, B, C)) &  (v5_orders_2(k3_waybel_3(A, B, C)) &  (v1_lattice3(k3_waybel_3(A, B, C)) & l1_orders_2(k3_waybel_3(A, B, C))) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_yellow_1(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k4_yellow_1(A, B))) =>  (! [E] :  (m1_subset_1(E, A) => k4_waybel_3(A, B, k10_lattice3(k4_yellow_1(A, B), C, D), E)=k10_lattice3(k3_waybel_3(A, B, E), k4_waybel_3(A, B, C, E), k4_waybel_3(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_lfuzzy_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_yellow_1(B) &  (v4_waybel_3(B) & v5_waybel_3(B)) ) ) ) ) )  =>  ( (! [C] :  (m1_subset_1(C, A) =>  (v3_orders_2(k3_waybel_3(A, B, C)) &  (v4_orders_2(k3_waybel_3(A, B, C)) &  (v5_orders_2(k3_waybel_3(A, B, C)) &  (v1_lattice3(k3_waybel_3(A, B, C)) &  (v2_lattice3(k3_waybel_3(A, B, C)) &  (v3_lattice3(k3_waybel_3(A, B, C)) &  (v9_waybel_1(k3_waybel_3(A, B, C)) & l1_orders_2(k3_waybel_3(A, B, C))) ) ) ) ) ) ) ) )  =>  (v3_lattice3(k4_yellow_1(A, B)) & v9_waybel_1(k4_yellow_1(A, B))) ) ) ) ) ) ).
fof(d4_lfuzzy_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k4_lfuzzy_0(A)=k5_yellow_1(A, k1_lfuzzy_0(k1_rcomp_1(k5_numbers, 1)))) ) ).
fof(t14_lfuzzy_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => u1_struct_0(k4_lfuzzy_0(A))=k9_funct_2(A, k1_rcomp_1(k5_numbers, 1))) ) ).
fof(d5_lfuzzy_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_lfuzzy_0(A))) => k5_lfuzzy_0(A, B)=B) ) ) ) ).
fof(d6_lfuzzy_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => k6_lfuzzy_0(A, B)=B) ) ) ) ).
fof(t16_lfuzzy_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  ( (! [D] :  (m1_subset_1(D, A) => r1_xxreal_0(k7_lfuzzy_0(A, B, D), k7_lfuzzy_0(A, C, D))) )  <=> r1_orders_2(k4_lfuzzy_0(A), k6_lfuzzy_0(A, B), k6_lfuzzy_0(A, C))) ) ) ) ) ) ) ).
fof(t17_lfuzzy_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_lfuzzy_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_lfuzzy_0(A))) =>  (r1_orders_2(k4_lfuzzy_0(A), B, C) <=>  (! [D] :  (m1_subset_1(D, A) => r1_xxreal_0(k7_lfuzzy_0(A, k5_lfuzzy_0(A, B), D), k7_lfuzzy_0(A, k5_lfuzzy_0(A, C), D))) ) ) ) ) ) ) ) ) ).
fof(t18_lfuzzy_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => k2_fuzzy_1(A, B, C)=k13_lattice3(k4_lfuzzy_0(A), k6_lfuzzy_0(A, B), k6_lfuzzy_0(A, C))) ) ) ) ) ) ).
fof(t19_lfuzzy_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_lfuzzy_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_lfuzzy_0(A))) => k13_lattice3(k4_lfuzzy_0(A), B, C)=k2_fuzzy_1(A, k5_lfuzzy_0(A, B), k5_lfuzzy_0(A, C))) ) ) ) ) ) ).
fof(t20_lfuzzy_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => k1_fuzzy_1(A, B, C)=k12_lattice3(k4_lfuzzy_0(A), k6_lfuzzy_0(A, B), k6_lfuzzy_0(A, C))) ) ) ) ) ) ).
fof(t21_lfuzzy_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_lfuzzy_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_lfuzzy_0(A))) => k12_lattice3(k4_lfuzzy_0(A), B, C)=k1_fuzzy_1(A, k5_lfuzzy_0(A, B), k5_lfuzzy_0(A, C))) ) ) ) ) ) ).
fof(t23_lfuzzy_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v5_relat_1(E, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  =>  (! [F] :  ( (v5_relat_1(F, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(B, C), k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), k1_numbers)))) ) )  =>  (! [G] :  ( (v5_relat_1(G, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(C, D), k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, D), k1_numbers)))) ) )  => r2_relset_1(k2_zfmisc_1(A, D), k1_numbers, k3_fuzzy_4(A, C, D, k3_fuzzy_4(A, B, C, E, F), G), k3_fuzzy_4(A, B, D, E, k3_fuzzy_4(B, C, D, F, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_lfuzzy_0, axiom,  (! [A] :  (v3_membered(A) =>  (v1_orders_2(k1_lfuzzy_0(A)) &  (v1_lfuzzy_0(k1_lfuzzy_0(A)) & l1_orders_2(k1_lfuzzy_0(A))) ) ) ) ).
fof(dt_k2_lfuzzy_0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_lfuzzy_0(A) & l1_orders_2(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k2_lfuzzy_0(A, B, C), u1_struct_0(A))) ) ).
fof(commutativity_k2_lfuzzy_0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_lfuzzy_0(A) & l1_orders_2(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k2_lfuzzy_0(A, B, C)=k2_lfuzzy_0(A, C, B)) ) ).
fof(idempotence_k2_lfuzzy_0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_lfuzzy_0(A) & l1_orders_2(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k2_lfuzzy_0(A, B, B)=B) ) ).
fof(redefinition_k2_lfuzzy_0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_lfuzzy_0(A) & l1_orders_2(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k2_lfuzzy_0(A, B, C)=k4_xxreal_0(B, C)) ) ).
fof(dt_k3_lfuzzy_0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_lfuzzy_0(A) & l1_orders_2(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k3_lfuzzy_0(A, B, C), u1_struct_0(A))) ) ).
fof(commutativity_k3_lfuzzy_0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_lfuzzy_0(A) & l1_orders_2(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k3_lfuzzy_0(A, B, C)=k3_lfuzzy_0(A, C, B)) ) ).
fof(idempotence_k3_lfuzzy_0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_lfuzzy_0(A) & l1_orders_2(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k3_lfuzzy_0(A, B, B)=B) ) ).
fof(redefinition_k3_lfuzzy_0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_lfuzzy_0(A) & l1_orders_2(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k3_lfuzzy_0(A, B, C)=k3_xxreal_0(B, C)) ) ).
fof(dt_k4_lfuzzy_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v3_orders_2(k4_lfuzzy_0(A)) &  (v4_orders_2(k4_lfuzzy_0(A)) &  (v5_orders_2(k4_lfuzzy_0(A)) &  (v1_lattice3(k4_lfuzzy_0(A)) &  (v2_lattice3(k4_lfuzzy_0(A)) &  (v3_lattice3(k4_lfuzzy_0(A)) &  (v9_waybel_1(k4_lfuzzy_0(A)) & l1_orders_2(k4_lfuzzy_0(A))) ) ) ) ) ) ) ) ) ).
fof(dt_k5_lfuzzy_0, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, u1_struct_0(k4_lfuzzy_0(A))))  =>  (v5_relat_1(k5_lfuzzy_0(A, B), k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(k5_lfuzzy_0(A, B)) &  (v1_funct_2(k5_lfuzzy_0(A, B), A, k1_numbers) & m1_subset_1(k5_lfuzzy_0(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ).
fof(dt_k6_lfuzzy_0, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  => m1_subset_1(k6_lfuzzy_0(A, B), u1_struct_0(k4_lfuzzy_0(A)))) ) ).
fof(dt_k7_lfuzzy_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  & m1_subset_1(C, A)) )  => m1_subset_1(k7_lfuzzy_0(A, B, C), u1_struct_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers, 1))))) ) ).
fof(redefinition_k7_lfuzzy_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  & m1_subset_1(C, A)) )  => k7_lfuzzy_0(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k8_lfuzzy_0, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  &  (m1_subset_1(D, A) & m1_subset_1(E, B)) ) ) )  => m1_subset_1(k8_lfuzzy_0(A, B, C, D, E), u1_struct_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers, 1))))) ) ).
fof(redefinition_k8_lfuzzy_0, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  &  (m1_subset_1(D, A) & m1_subset_1(E, B)) ) ) )  => k8_lfuzzy_0(A, B, C, D, E)=k1_binop_1(C, D, E)) ) ).
fof(dt_k9_lfuzzy_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, u1_struct_0(k4_lfuzzy_0(A))) & m1_subset_1(C, A)) )  => m1_subset_1(k9_lfuzzy_0(A, B, C), u1_struct_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers, 1))))) ) ).
fof(redefinition_k9_lfuzzy_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, u1_struct_0(k4_lfuzzy_0(A))) & m1_subset_1(C, A)) )  => k9_lfuzzy_0(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_f1_s1_lfuzzy_0, axiom,  (v3_orders_2(f1_s1_lfuzzy_0) &  (v4_orders_2(f1_s1_lfuzzy_0) &  (v5_orders_2(f1_s1_lfuzzy_0) &  (v1_lattice3(f1_s1_lfuzzy_0) &  (v2_lattice3(f1_s1_lfuzzy_0) &  (v3_lattice3(f1_s1_lfuzzy_0) & l1_orders_2(f1_s1_lfuzzy_0)) ) ) ) ) ) ).
fof(dt_f2_s1_lfuzzy_0, axiom,  ~ (v1_xboole_0(f2_s1_lfuzzy_0)) ).
fof(dt_f3_s1_lfuzzy_0, axiom,  ~ (v1_xboole_0(f3_s1_lfuzzy_0)) ).
fof(dt_f4_s1_lfuzzy_0, axiom,  (! [A, B] : m1_subset_1(f4_s1_lfuzzy_0(A, B), u1_struct_0(f1_s1_lfuzzy_0))) ).
fof(dt_f1_s2_lfuzzy_0, axiom,  (v3_orders_2(f1_s2_lfuzzy_0) &  (v4_orders_2(f1_s2_lfuzzy_0) &  (v5_orders_2(f1_s2_lfuzzy_0) &  (v1_lattice3(f1_s2_lfuzzy_0) &  (v2_lattice3(f1_s2_lfuzzy_0) &  (v3_lattice3(f1_s2_lfuzzy_0) & l1_orders_2(f1_s2_lfuzzy_0)) ) ) ) ) ) ).
fof(dt_f2_s2_lfuzzy_0, axiom,  ~ (v1_xboole_0(f2_s2_lfuzzy_0)) ).
fof(dt_f3_s2_lfuzzy_0, axiom,  ~ (v1_xboole_0(f3_s2_lfuzzy_0)) ).
fof(dt_f4_s2_lfuzzy_0, axiom,  (! [A, B] : m1_subset_1(f4_s2_lfuzzy_0(A, B), u1_struct_0(f1_s2_lfuzzy_0))) ).
fof(dt_f1_s3_lfuzzy_0, axiom,  ~ (v1_xboole_0(f1_s3_lfuzzy_0)) ).
fof(dt_f2_s3_lfuzzy_0, axiom,  ~ (v1_xboole_0(f2_s3_lfuzzy_0)) ).
fof(dt_f1_s4_lfuzzy_0, axiom,  ~ (v1_xboole_0(f1_s4_lfuzzy_0)) ).
fof(dt_f2_s4_lfuzzy_0, axiom,  ~ (v1_xboole_0(f2_s4_lfuzzy_0)) ).
fof(dt_f1_s5_lfuzzy_0, axiom,  (v3_orders_2(f1_s5_lfuzzy_0) &  (v4_orders_2(f1_s5_lfuzzy_0) &  (v5_orders_2(f1_s5_lfuzzy_0) &  (v1_lattice3(f1_s5_lfuzzy_0) &  (v2_lattice3(f1_s5_lfuzzy_0) &  (v3_lattice3(f1_s5_lfuzzy_0) & l1_orders_2(f1_s5_lfuzzy_0)) ) ) ) ) ) ).
fof(dt_f2_s5_lfuzzy_0, axiom,  ~ (v1_xboole_0(f2_s5_lfuzzy_0)) ).
fof(dt_f3_s5_lfuzzy_0, axiom,  ~ (v1_xboole_0(f3_s5_lfuzzy_0)) ).
fof(dt_f4_s5_lfuzzy_0, axiom,  (! [A, B] : m1_subset_1(f4_s5_lfuzzy_0(A, B), u1_struct_0(f1_s5_lfuzzy_0))) ).
fof(dt_f5_s5_lfuzzy_0, axiom,  (! [A, B] : m1_subset_1(f5_s5_lfuzzy_0(A, B), u1_struct_0(f1_s5_lfuzzy_0))) ).
fof(t15_lfuzzy_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v3_lattice3(A) &  (v9_waybel_1(A) & l1_orders_2(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k12_lattice3(A, k1_yellow_0(A, B), C)=k1_yellow_0(A, a_3_0_lfuzzy_0(A, B, C))) ) ) ) ) ) ).
fof(t22_lfuzzy_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  =>  (! [E] :  ( (v5_relat_1(E, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, C), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), k1_numbers)))) ) )  =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, C) => k8_lfuzzy_0(A, C, k3_fuzzy_4(A, B, C, D, E), F, G)=k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers, 1)), a_7_0_lfuzzy_0(A, B, C, D, E, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_lfuzzy_0, axiom, k1_yellow_0(f1_s1_lfuzzy_0, a_0_0_lfuzzy_0)=k1_yellow_0(f1_s1_lfuzzy_0, a_0_1_lfuzzy_0)).
fof(s2_lfuzzy_0, axiom, k1_yellow_0(f1_s2_lfuzzy_0, a_0_2_lfuzzy_0)=k1_yellow_0(f1_s2_lfuzzy_0, a_0_3_lfuzzy_0)).
fof(s3_lfuzzy_0, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s3_lfuzzy_0) =>  (! [B] :  (m1_subset_1(B, f2_s3_lfuzzy_0) =>  (p1_s3_lfuzzy_0(A, B) => f3_s3_lfuzzy_0(A, B)=f4_s3_lfuzzy_0(A, B)) ) ) ) )  => a_0_4_lfuzzy_0=a_0_5_lfuzzy_0) ).
fof(s4_lfuzzy_0, axiom,  ( ( (! [A] :  (m1_subset_1(A, f1_s4_lfuzzy_0) =>  (! [B] :  (m1_subset_1(B, f2_s4_lfuzzy_0) =>  (p1_s4_lfuzzy_0(A, B) <=> p2_s4_lfuzzy_0(A, B)) ) ) ) )  &  (! [A] :  (m1_subset_1(A, f1_s4_lfuzzy_0) =>  (! [B] :  (m1_subset_1(B, f2_s4_lfuzzy_0) =>  (p1_s4_lfuzzy_0(A, B) => f3_s4_lfuzzy_0(A, B)=f4_s4_lfuzzy_0(A, B)) ) ) ) ) )  => a_0_6_lfuzzy_0=a_0_7_lfuzzy_0) ).
fof(s5_lfuzzy_0, axiom,  ( (! [A] :  (m1_subset_1(A, f2_s5_lfuzzy_0) =>  (! [B] :  (m1_subset_1(B, f3_s5_lfuzzy_0) =>  ( (p1_s5_lfuzzy_0(A) & p2_s5_lfuzzy_0(B))  => f4_s5_lfuzzy_0(A, B)=f5_s5_lfuzzy_0(A, B)) ) ) ) )  => k1_yellow_0(f1_s5_lfuzzy_0, a_0_8_lfuzzy_0)=k1_yellow_0(f1_s5_lfuzzy_0, a_0_9_lfuzzy_0)) ).
fof(fraenkel_a_3_0_lfuzzy_0, axiom,  (! [A, B, C, D] :  ( ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v3_lattice3(B) &  (v9_waybel_1(B) & l1_orders_2(B)) ) ) ) ) ) )  &  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_0_lfuzzy_0(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k12_lattice3(B, E, D) & r2_tarski(E, C)) ) ) ) ) ) ).
fof(fraenkel_a_7_0_lfuzzy_0, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( (v5_relat_1(E, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, C), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), k1_numbers)))) ) )  &  ( (v5_relat_1(F, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(C, D), k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, D), k1_numbers)))) ) )  &  (m1_subset_1(G, B) & m1_subset_1(H, D)) ) ) ) ) )  =>  (r2_hidden(A, a_7_0_lfuzzy_0(B, C, D, E, F, G, H)) <=>  (? [I] :  (m1_subset_1(I, C) & A=k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers, 1)), k8_lfuzzy_0(B, C, E, G, I), k8_lfuzzy_0(C, D, F, I, H))) ) ) ) ) ).
fof(fraenkel_a_0_0_lfuzzy_0, axiom,  (! [A] :  (r2_hidden(A, a_0_0_lfuzzy_0) <=>  (? [B] :  (m1_subset_1(B, f2_s1_lfuzzy_0) &  (A=k1_yellow_0(f1_s1_lfuzzy_0, a_1_0_lfuzzy_0(B)) & p1_s1_lfuzzy_0(B)) ) ) ) ) ).
fof(fraenkel_a_1_0_lfuzzy_0, axiom,  (! [A, B] :  (m1_subset_1(B, f2_s1_lfuzzy_0) =>  (r2_hidden(A, a_1_0_lfuzzy_0(B)) <=>  (? [C] :  (m1_subset_1(C, f3_s1_lfuzzy_0) &  (A=f4_s1_lfuzzy_0(B, C) & p2_s1_lfuzzy_0(C)) ) ) ) ) ) ).
fof(fraenkel_a_0_1_lfuzzy_0, axiom,  (! [A] :  (r2_hidden(A, a_0_1_lfuzzy_0) <=>  (? [B, C] :  ( (m1_subset_1(B, f2_s1_lfuzzy_0) & m1_subset_1(C, f3_s1_lfuzzy_0))  &  (A=f4_s1_lfuzzy_0(B, C) &  (p1_s1_lfuzzy_0(B) & p2_s1_lfuzzy_0(C)) ) ) ) ) ) ).
fof(fraenkel_a_0_2_lfuzzy_0, axiom,  (! [A] :  (r2_hidden(A, a_0_2_lfuzzy_0) <=>  (? [B] :  (m1_subset_1(B, f3_s2_lfuzzy_0) &  (A=k1_yellow_0(f1_s2_lfuzzy_0, a_1_1_lfuzzy_0(B)) & p2_s2_lfuzzy_0(B)) ) ) ) ) ).
fof(fraenkel_a_1_1_lfuzzy_0, axiom,  (! [A, B] :  (m1_subset_1(B, f3_s2_lfuzzy_0) =>  (r2_hidden(A, a_1_1_lfuzzy_0(B)) <=>  (? [C] :  (m1_subset_1(C, f2_s2_lfuzzy_0) &  (A=f4_s2_lfuzzy_0(C, B) & p1_s2_lfuzzy_0(C)) ) ) ) ) ) ).
fof(fraenkel_a_0_3_lfuzzy_0, axiom,  (! [A] :  (r2_hidden(A, a_0_3_lfuzzy_0) <=>  (? [B, C] :  ( (m1_subset_1(B, f2_s2_lfuzzy_0) & m1_subset_1(C, f3_s2_lfuzzy_0))  &  (A=f4_s2_lfuzzy_0(B, C) &  (p1_s2_lfuzzy_0(B) & p2_s2_lfuzzy_0(C)) ) ) ) ) ) ).
fof(fraenkel_a_0_4_lfuzzy_0, axiom,  (! [A] :  (r2_hidden(A, a_0_4_lfuzzy_0) <=>  (? [B, C] :  ( (m1_subset_1(B, f1_s3_lfuzzy_0) & m1_subset_1(C, f2_s3_lfuzzy_0))  &  (A=f3_s3_lfuzzy_0(B, C) & p1_s3_lfuzzy_0(B, C)) ) ) ) ) ).
fof(fraenkel_a_0_5_lfuzzy_0, axiom,  (! [A] :  (r2_hidden(A, a_0_5_lfuzzy_0) <=>  (? [B, C] :  ( (m1_subset_1(B, f1_s3_lfuzzy_0) & m1_subset_1(C, f2_s3_lfuzzy_0))  &  (A=f4_s3_lfuzzy_0(B, C) & p1_s3_lfuzzy_0(B, C)) ) ) ) ) ).
fof(fraenkel_a_0_6_lfuzzy_0, axiom,  (! [A] :  (r2_hidden(A, a_0_6_lfuzzy_0) <=>  (? [B, C] :  ( (m1_subset_1(B, f1_s4_lfuzzy_0) & m1_subset_1(C, f2_s4_lfuzzy_0))  &  (A=f3_s4_lfuzzy_0(B, C) & p1_s4_lfuzzy_0(B, C)) ) ) ) ) ).
fof(fraenkel_a_0_7_lfuzzy_0, axiom,  (! [A] :  (r2_hidden(A, a_0_7_lfuzzy_0) <=>  (? [B, C] :  ( (m1_subset_1(B, f1_s4_lfuzzy_0) & m1_subset_1(C, f2_s4_lfuzzy_0))  &  (A=f4_s4_lfuzzy_0(B, C) & p2_s4_lfuzzy_0(B, C)) ) ) ) ) ).
fof(fraenkel_a_0_8_lfuzzy_0, axiom,  (! [A] :  (r2_hidden(A, a_0_8_lfuzzy_0) <=>  (? [B] :  (m1_subset_1(B, f2_s5_lfuzzy_0) &  (A=k1_yellow_0(f1_s5_lfuzzy_0, a_1_2_lfuzzy_0(B)) & p1_s5_lfuzzy_0(B)) ) ) ) ) ).
fof(fraenkel_a_1_2_lfuzzy_0, axiom,  (! [A, B] :  (m1_subset_1(B, f2_s5_lfuzzy_0) =>  (r2_hidden(A, a_1_2_lfuzzy_0(B)) <=>  (? [C] :  (m1_subset_1(C, f3_s5_lfuzzy_0) &  (A=f4_s5_lfuzzy_0(B, C) & p2_s5_lfuzzy_0(C)) ) ) ) ) ) ).
fof(fraenkel_a_0_9_lfuzzy_0, axiom,  (! [A] :  (r2_hidden(A, a_0_9_lfuzzy_0) <=>  (? [B] :  (m1_subset_1(B, f3_s5_lfuzzy_0) &  (A=k1_yellow_0(f1_s5_lfuzzy_0, a_1_3_lfuzzy_0(B)) & p2_s5_lfuzzy_0(B)) ) ) ) ) ).
fof(fraenkel_a_1_3_lfuzzy_0, axiom,  (! [A, B] :  (m1_subset_1(B, f3_s5_lfuzzy_0) =>  (r2_hidden(A, a_1_3_lfuzzy_0(B)) <=>  (? [C] :  (m1_subset_1(C, f2_s5_lfuzzy_0) &  (A=f5_s5_lfuzzy_0(C, B) & p1_s5_lfuzzy_0(C)) ) ) ) ) ) ).
fof(cc1_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))) =>  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) & v1_funct_2(B, A, k1_numbers)) )  =>  (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & v3_valued_0(B)) ) ) ) ) ) ) ) ).
fof(fc1_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v5_relat_1(k4_fuzzy_4(A, A), k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(k4_fuzzy_4(A, A)) &  (v1_funct_2(k4_fuzzy_4(A, A), k2_zfmisc_1(A, A), k1_numbers) &  (v1_lfuzzy_1(k4_fuzzy_4(A, A), A) &  (v2_lfuzzy_1(k4_fuzzy_4(A, A), A) &  (v3_lfuzzy_1(k4_fuzzy_4(A, A), A) & v4_lfuzzy_1(k4_fuzzy_4(A, A), A)) ) ) ) ) ) ) ) ).
fof(rc1_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers))) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k2_zfmisc_1(A, A)) &  (v5_relat_1(B, k1_numbers) &  (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_partfun1(B, k2_zfmisc_1(A, A)) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) &  (v1_lfuzzy_1(B, A) &  (v2_lfuzzy_1(B, A) &  (v3_lfuzzy_1(B, A) & v4_lfuzzy_1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc2_lfuzzy_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) &  (v2_lfuzzy_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) ) )  &  (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), k1_numbers) &  (v2_lfuzzy_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) ) ) ) )  =>  (v5_relat_1(k1_fuzzy_1(k2_zfmisc_1(A, A), B, C), k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(k1_fuzzy_1(k2_zfmisc_1(A, A), B, C)) &  (v1_funct_2(k1_fuzzy_1(k2_zfmisc_1(A, A), B, C), k2_zfmisc_1(A, A), k1_numbers) & v2_lfuzzy_1(k1_fuzzy_1(k2_zfmisc_1(A, A), B, C), A)) ) ) ) ) ).
fof(fc3_lfuzzy_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) &  (v2_lfuzzy_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) ) )  &  (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), k1_numbers) &  (v2_lfuzzy_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) ) ) ) )  =>  (v5_relat_1(k2_fuzzy_1(k2_zfmisc_1(A, A), B, C), k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(k2_fuzzy_1(k2_zfmisc_1(A, A), B, C)) &  (v1_funct_2(k2_fuzzy_1(k2_zfmisc_1(A, A), B, C), k2_zfmisc_1(A, A), k1_numbers) & v2_lfuzzy_1(k2_fuzzy_1(k2_zfmisc_1(A, A), B, C), A)) ) ) ) ) ).
fof(fc4_lfuzzy_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) &  (v3_lfuzzy_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) ) )  &  (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), k1_numbers) &  (v3_lfuzzy_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) ) ) ) )  =>  (v5_relat_1(k1_fuzzy_1(k2_zfmisc_1(A, A), B, C), k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(k1_fuzzy_1(k2_zfmisc_1(A, A), B, C)) &  (v1_funct_2(k1_fuzzy_1(k2_zfmisc_1(A, A), B, C), k2_zfmisc_1(A, A), k1_numbers) & v3_lfuzzy_1(k1_fuzzy_1(k2_zfmisc_1(A, A), B, C), A)) ) ) ) ) ).
fof(fc5_lfuzzy_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) ) )  =>  (v5_relat_1(k5_lfuzzy_1(A, B), k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(k5_lfuzzy_1(A, B)) &  (v1_funct_2(k5_lfuzzy_1(A, B), k2_zfmisc_1(A, A), k1_numbers) & v3_lfuzzy_1(k5_lfuzzy_1(A, B), A)) ) ) ) ) ).
fof(d1_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  =>  (r1_lfuzzy_1(A, B, C, D) <=>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, B) => r1_xxreal_0(k8_lfuzzy_0(A, B, C, E, F), k8_lfuzzy_0(A, B, D, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  ( (! [D] :  (m1_subset_1(D, A) => k7_lfuzzy_0(A, B, D)=k7_lfuzzy_0(A, C, D)) )  => r2_relset_1(A, k1_numbers, B, C)) ) ) ) ) ) ) ).
fof(t2_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  =>  ( (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, B) => k8_lfuzzy_0(A, B, C, E, F)=k8_lfuzzy_0(A, B, D, E, F)) ) ) )  => r2_relset_1(k2_zfmisc_1(A, B), k1_numbers, C, D)) ) ) ) ) ) ) ) ) ).
fof(t3_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (r2_relset_1(A, k1_numbers, B, C) <=>  (r1_fuzzy_1(B, C) & r1_fuzzy_1(C, B)) ) ) ) ) ) ) ) ).
fof(t4_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r1_fuzzy_1(B, B)) ) ) ) ).
fof(t5_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  ( (r1_fuzzy_1(B, C) & r1_fuzzy_1(C, D))  => r1_fuzzy_1(B, D)) ) ) ) ) ) ) ) ) ).
fof(t6_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  =>  (! [E] :  ( (v5_relat_1(E, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  =>  (! [F] :  ( (v5_relat_1(F, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(B, C), k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), k1_numbers)))) ) )  =>  (! [G] :  ( (v5_relat_1(G, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(B, C), k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), k1_numbers)))) ) )  =>  ( (r1_fuzzy_1(D, E) & r1_fuzzy_1(F, G))  => r1_fuzzy_1(k3_fuzzy_4(A, B, C, D, F), k3_fuzzy_4(A, B, C, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r1_fuzzy_1(k1_lfuzzy_1(A, B, C), B)) ) ) ) ) ) ).
fof(t8_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r1_fuzzy_1(B, k2_lfuzzy_1(A, B, C))) ) ) ) ) ) ).
fof(d2_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  =>  (v1_lfuzzy_1(B, A) <=> r1_fuzzy_1(k4_fuzzy_4(A, A), B)) ) ) ) ) ).
fof(d3_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  =>  (v1_lfuzzy_1(B, A) <=>  (! [C] :  (m1_subset_1(C, A) => k8_lfuzzy_0(A, A, B, C, C)=1) ) ) ) ) ) ) ).
fof(d4_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  =>  (v2_lfuzzy_1(B, A) <=> r2_relset_1(k2_zfmisc_1(A, A), k1_numbers, k1_fuzzy_4(A, A, B), B)) ) ) ) ) ).
fof(d5_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  =>  (v2_lfuzzy_1(B, A) <=>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) => k8_lfuzzy_0(A, A, B, C, D)=k8_lfuzzy_0(A, A, B, D, C)) ) ) ) ) ) ) ) ) ).
fof(d6_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  =>  (v3_lfuzzy_1(B, A) <=> r1_fuzzy_1(k3_fuzzy_4(A, A, A, B, B), B)) ) ) ) ) ).
fof(d7_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  =>  (v3_lfuzzy_1(B, A) <=>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) => r1_orders_2(k1_lfuzzy_0(k1_rcomp_1(k5_numbers, 1)), k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers, 1)), k7_lfuzzy_0(k2_zfmisc_1(A, A), B, k1_domain_1(A, A, C, D)), k7_lfuzzy_0(k2_zfmisc_1(A, A), B, k1_domain_1(A, A, D, E))), k7_lfuzzy_0(k2_zfmisc_1(A, A), B, k1_domain_1(A, A, C, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  =>  (v4_lfuzzy_1(B, A) <=>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  ~ ( ( ~ (k8_lfuzzy_0(A, A, B, C, D)=k5_numbers)  &  ( ~ (k8_lfuzzy_0(A, A, B, D, C)=k5_numbers)  &  ~ (C=D) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  =>  ( (v2_lfuzzy_1(B, A) & v2_lfuzzy_1(C, A))  => r2_relset_1(k2_zfmisc_1(A, A), k1_numbers, k1_fuzzy_4(A, A, k1_lfuzzy_1(k2_zfmisc_1(A, A), B, C)), k1_lfuzzy_1(k2_zfmisc_1(A, A), B, C))) ) ) ) ) ) ) ).
fof(t10_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  =>  ( (v2_lfuzzy_1(B, A) & v2_lfuzzy_1(C, A))  => r2_relset_1(k2_zfmisc_1(A, A), k1_numbers, k1_fuzzy_4(A, A, k2_lfuzzy_1(k2_zfmisc_1(A, A), B, C)), k2_lfuzzy_1(k2_zfmisc_1(A, A), B, C))) ) ) ) ) ) ) ).
fof(t11_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  =>  ( (v3_lfuzzy_1(B, A) & v3_lfuzzy_1(C, A))  => r1_fuzzy_1(k3_fuzzy_4(A, A, A, k1_lfuzzy_1(k2_zfmisc_1(A, A), B, C), k1_lfuzzy_1(k2_zfmisc_1(A, A), B, C)), k1_lfuzzy_1(k2_zfmisc_1(A, A), B, C))) ) ) ) ) ) ) ).
fof(t12_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (r1_relat_2(B, A) => v1_lfuzzy_1(k3_lfuzzy_1(B, k2_zfmisc_1(A, A)), A)) ) ) ) ) ).
fof(t13_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (v4_relat_2(B) => v4_lfuzzy_1(k3_lfuzzy_1(B, k2_zfmisc_1(A, A)), A)) ) ) ) ) ).
fof(t14_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (v3_relat_2(B) => v2_lfuzzy_1(k3_lfuzzy_1(B, k2_zfmisc_1(A, A)), A)) ) ) ) ) ).
fof(t15_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (v8_relat_2(B) => v3_lfuzzy_1(k3_lfuzzy_1(B, k2_zfmisc_1(A, A)), A)) ) ) ) ) ).
fof(t16_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v2_lfuzzy_1(k4_fuzzy_2(A, A), A) &  (v4_lfuzzy_1(k4_fuzzy_2(A, A), A) & v3_lfuzzy_1(k4_fuzzy_2(A, A), A)) ) ) ) ).
fof(t17_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v2_lfuzzy_1(k5_fuzzy_2(A, A), A) &  (v3_lfuzzy_1(k5_fuzzy_2(A, A), A) & v1_lfuzzy_1(k5_fuzzy_2(A, A), A)) ) ) ) ).
fof(t18_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  => v2_lfuzzy_1(k2_lfuzzy_1(k2_zfmisc_1(A, A), B, k1_fuzzy_4(A, A, B)), A)) ) ) ) ).
fof(t19_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  => v2_lfuzzy_1(k1_lfuzzy_1(k2_zfmisc_1(A, A), B, k1_fuzzy_4(A, A, B)), A)) ) ) ) ).
fof(t20_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  =>  ( (v2_lfuzzy_1(C, A) & r1_fuzzy_1(B, C))  => r1_fuzzy_1(k2_lfuzzy_1(k2_zfmisc_1(A, A), B, k1_fuzzy_4(A, A, B)), C)) ) ) ) ) ) ) ).
fof(t21_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  =>  ( (v2_lfuzzy_1(C, A) & r1_fuzzy_1(C, B))  => r1_fuzzy_1(C, k1_lfuzzy_1(k2_zfmisc_1(A, A), B, k1_fuzzy_4(A, A, B)))) ) ) ) ) ) ) ).
fof(d9_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  =>  (D=k4_lfuzzy_1(A, B, C) <=>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k9_funct_2(k2_zfmisc_1(A, A), k1_rcomp_1(k5_numbers, 1))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_funct_2(k2_zfmisc_1(A, A), k1_rcomp_1(k5_numbers, 1)))))) )  &  (D=k8_nat_1(k9_funct_2(k2_zfmisc_1(A, A), k1_rcomp_1(k5_numbers, 1)), E, C) &  (k8_nat_1(k9_funct_2(k2_zfmisc_1(A, A), k1_rcomp_1(k5_numbers, 1)), E, k5_numbers)=k4_fuzzy_4(A, A) &  (! [F] :  (v7_ordinal1(F) =>  (? [G] :  ( (v5_relat_1(G, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  &  (k8_nat_1(k9_funct_2(k2_zfmisc_1(A, A), k1_rcomp_1(k5_numbers, 1)), E, F)=G & k8_nat_1(k9_funct_2(k2_zfmisc_1(A, A), k1_rcomp_1(k5_numbers, 1)), E, k1_nat_1(F, 1))=k3_fuzzy_4(A, A, A, G, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  => r2_relset_1(k2_zfmisc_1(A, A), k1_numbers, k3_fuzzy_4(A, A, A, k4_fuzzy_4(A, A), B), B)) ) ) ) ).
fof(t23_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  => r2_relset_1(k2_zfmisc_1(A, A), k1_numbers, k3_fuzzy_4(A, A, A, B, k4_fuzzy_4(A, A)), B)) ) ) ) ).
fof(t24_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  => r2_relset_1(k2_zfmisc_1(A, A), k1_numbers, k4_lfuzzy_1(A, B, k5_numbers), k4_fuzzy_4(A, A))) ) ) ) ).
fof(t25_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  => r2_relset_1(k2_zfmisc_1(A, A), k1_numbers, k4_lfuzzy_1(A, B, 1), B)) ) ) ) ).
fof(t26_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  =>  (! [C] :  (v7_ordinal1(C) => r2_relset_1(k2_zfmisc_1(A, A), k1_numbers, k4_lfuzzy_1(A, B, k1_nat_1(C, 1)), k3_fuzzy_4(A, A, A, k4_lfuzzy_1(A, B, C), B))) ) ) ) ) ) ).
fof(t27_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => r2_relset_1(k2_zfmisc_1(A, A), k1_numbers, k4_lfuzzy_1(A, B, k2_xcmplx_0(C, D)), k3_fuzzy_4(A, A, A, k4_lfuzzy_1(A, B, C), k4_lfuzzy_1(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t28_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => r2_relset_1(k2_zfmisc_1(A, A), k1_numbers, k4_lfuzzy_1(A, B, k3_xcmplx_0(C, D)), k4_lfuzzy_1(A, k4_lfuzzy_1(A, B, D), C))) ) ) ) ) ) ) ) ).
fof(t30_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  => r1_fuzzy_1(B, k5_lfuzzy_1(A, B))) ) ) ) ).
fof(t31_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  => r1_fuzzy_1(k4_lfuzzy_1(A, B, C), k5_lfuzzy_1(A, B))) ) ) ) ) ) ) ).
fof(t32_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(A)))) =>  (! [C] :  (m1_subset_1(C, A) => k9_lfuzzy_0(A, k1_yellow_0(k4_lfuzzy_0(A), B), C)=k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers, 1)), k5_card_3(C, B))) ) ) ) ) ) ).
fof(t37_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (v3_lfuzzy_1(B, A) =>  (r1_xxreal_0(C, k5_numbers) | r1_fuzzy_1(k4_lfuzzy_1(A, B, C), B)) ) ) ) ) ) ) ) ).
fof(t38_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  =>  (v3_lfuzzy_1(B, A) => r2_relset_1(k2_zfmisc_1(A, A), k1_numbers, B, k5_lfuzzy_1(A, B))) ) ) ) ) ).
fof(t39_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (r1_fuzzy_1(B, C) => r1_fuzzy_1(k4_lfuzzy_1(A, B, D), k4_lfuzzy_1(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t40_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  =>  ( (v3_lfuzzy_1(C, A) & r1_fuzzy_1(B, C))  => r1_fuzzy_1(k5_lfuzzy_1(A, B), C)) ) ) ) ) ) ) ).
fof(reflexivity_r1_lfuzzy_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  &  (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) ) ) ) )  => r1_lfuzzy_1(A, B, C, C)) ) ).
fof(redefinition_r1_lfuzzy_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) )  &  (v5_relat_1(D, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) ) ) ) ) )  =>  (r1_lfuzzy_1(A, B, C, D) <=> r1_fuzzy_1(C, D)) ) ) ).
fof(dt_k1_lfuzzy_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  &  (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) )  =>  (v5_relat_1(k1_lfuzzy_1(A, B, C), k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(k1_lfuzzy_1(A, B, C)) &  (v1_funct_2(k1_lfuzzy_1(A, B, C), A, k1_numbers) & m1_subset_1(k1_lfuzzy_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ).
fof(commutativity_k1_lfuzzy_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  &  (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) )  => k1_lfuzzy_1(A, B, C)=k1_lfuzzy_1(A, C, B)) ) ).
fof(idempotence_k1_lfuzzy_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  &  (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) )  => k1_lfuzzy_1(A, B, B)=B) ) ).
fof(redefinition_k1_lfuzzy_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  &  (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) )  => k1_lfuzzy_1(A, B, C)=k1_fuzzy_1(A, B, C)) ) ).
fof(dt_k2_lfuzzy_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  &  (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) )  =>  (v5_relat_1(k2_lfuzzy_1(A, B, C), k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(k2_lfuzzy_1(A, B, C)) &  (v1_funct_2(k2_lfuzzy_1(A, B, C), A, k1_numbers) & m1_subset_1(k2_lfuzzy_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ).
fof(commutativity_k2_lfuzzy_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  &  (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) )  => k2_lfuzzy_1(A, B, C)=k2_lfuzzy_1(A, C, B)) ) ).
fof(idempotence_k2_lfuzzy_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  &  (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) )  => k2_lfuzzy_1(A, B, B)=B) ) ).
fof(redefinition_k2_lfuzzy_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  &  (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) )  => k2_lfuzzy_1(A, B, C)=k2_fuzzy_1(A, B, C)) ) ).
fof(dt_k3_lfuzzy_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (v5_relat_1(k3_lfuzzy_1(A, B), k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(k3_lfuzzy_1(A, B)) &  (v1_funct_2(k3_lfuzzy_1(A, B), B, k1_numbers) & m1_subset_1(k3_lfuzzy_1(A, B), k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) ) ) ) ) ).
fof(redefinition_k3_lfuzzy_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  => k3_lfuzzy_1(A, B)=k4_funct_3(A, B)) ) ).
fof(dt_k4_lfuzzy_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  & v7_ordinal1(C)) )  =>  (v5_relat_1(k4_lfuzzy_1(A, B, C), k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(k4_lfuzzy_1(A, B, C)) &  (v1_funct_2(k4_lfuzzy_1(A, B, C), k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(k4_lfuzzy_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) ) ) ) ).
fof(dt_k5_lfuzzy_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) ) )  =>  (v5_relat_1(k5_lfuzzy_1(A, B), k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(k5_lfuzzy_1(A, B)) &  (v1_funct_2(k5_lfuzzy_1(A, B), k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(k5_lfuzzy_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) ) ) ) ).
fof(d10_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  => k5_lfuzzy_1(A, B)=k1_yellow_0(k4_lfuzzy_0(k2_zfmisc_1(A, A)), a_2_0_lfuzzy_1(A, B))) ) ) ) ).
fof(t29_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) => k7_lfuzzy_0(k2_zfmisc_1(A, A), k5_lfuzzy_1(A, B), k1_domain_1(A, A, C, D))=k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers, 1)), k5_card_3(k1_domain_1(A, A, C, D), a_2_0_lfuzzy_1(A, B)))) ) ) ) ) ) ) ) ).
fof(t33_lfuzzy_1, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v3_lattice3(A) &  (v9_waybel_1(A) & l1_orders_2(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k12_lattice3(A, C, k1_yellow_0(A, B))=k1_yellow_0(A, a_3_0_lfuzzy_1(A, B, C))) ) ) ) ) ) ).
fof(t34_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(A, A))))) => k3_fuzzy_4(A, A, A, B, k5_lfuzzy_0(k2_zfmisc_1(A, A), k1_yellow_0(k4_lfuzzy_0(k2_zfmisc_1(A, A)), C)))=k1_yellow_0(k4_lfuzzy_0(k2_zfmisc_1(A, A)), a_3_1_lfuzzy_1(A, B, C))) ) ) ) ) ) ).
fof(t35_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(A, A))))) => k3_fuzzy_4(A, A, A, k5_lfuzzy_0(k2_zfmisc_1(A, A), k1_yellow_0(k4_lfuzzy_0(k2_zfmisc_1(A, A)), C)), B)=k1_yellow_0(k4_lfuzzy_0(k2_zfmisc_1(A, A)), a_3_2_lfuzzy_1(A, B, C))) ) ) ) ) ) ).
fof(t36_lfuzzy_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v5_relat_1(B, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  => k3_fuzzy_4(A, A, A, k5_lfuzzy_1(A, B), k5_lfuzzy_1(A, B))=k1_yellow_0(k4_lfuzzy_0(k2_zfmisc_1(A, A)), a_2_1_lfuzzy_1(A, B))) ) ) ) ).
fof(fraenkel_a_2_0_lfuzzy_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, B), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), k1_numbers)))) ) ) )  =>  (r2_hidden(A, a_2_0_lfuzzy_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, k4_ordinal1) &  (A=k4_lfuzzy_1(B, C, D) &  ~ (r1_xxreal_0(D, k5_numbers)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_lfuzzy_1, axiom,  (! [A, B, C, D] :  ( ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v3_lattice3(B) &  (v9_waybel_1(B) & l1_orders_2(B)) ) ) ) ) ) )  &  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_0_lfuzzy_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k12_lattice3(B, D, E) & r2_tarski(E, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_1_lfuzzy_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, B), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), k1_numbers)))) ) )  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B, B)))))) )  =>  (r2_hidden(A, a_3_1_lfuzzy_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B, B)))) &  (A=k3_fuzzy_4(B, B, B, C, k5_lfuzzy_0(k2_zfmisc_1(B, B), E)) & r2_tarski(E, D)) ) ) ) ) ) ).
fof(fraenkel_a_3_2_lfuzzy_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, B), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), k1_numbers)))) ) )  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B, B)))))) )  =>  (r2_hidden(A, a_3_2_lfuzzy_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B, B)))) &  (A=k3_fuzzy_4(B, B, B, k5_lfuzzy_0(k2_zfmisc_1(B, B), E), C) & r2_tarski(E, D)) ) ) ) ) ) ).
fof(fraenkel_a_2_1_lfuzzy_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  (v5_relat_1(C, k1_rcomp_1(k5_numbers, 1)) &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, B), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), k1_numbers)))) ) ) )  =>  (r2_hidden(A, a_2_1_lfuzzy_1(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, k4_ordinal1) & m1_subset_1(E, k4_ordinal1))  &  (A=k3_fuzzy_4(B, B, B, k4_lfuzzy_1(B, C, D), k4_lfuzzy_1(B, C, E)) &  ( ~ (r1_xxreal_0(D, k5_numbers))  &  ~ (r1_xxreal_0(E, k5_numbers)) ) ) ) ) ) ) ) ).
fof(d1_limfunc1, axiom,  (! [A] :  (v1_xreal_0(A) => k1_limfunc1(A)=k3_xxreal_1(k2_xxreal_0, A)) ) ).
fof(d2_limfunc1, axiom,  (! [A] :  (v1_xreal_0(A) => k2_limfunc1(A)=k2_xxreal_1(A, k1_xxreal_0)) ) ).
fof(d3_limfunc1, axiom,  (! [A] :  (v1_xreal_0(A) => k3_limfunc1(A)=k4_xxreal_1(A, k1_xxreal_0)) ) ).
fof(t1_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v7_valued_0(A) => v2_seq_2(A))  &  (v8_valued_0(A) => v1_seq_2(A)) ) ) ) ).
fof(t2_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v9_ordinal1(A) &  (v2_comseq_2(A) &  (k1_seq_2(A)=k5_numbers & v7_valued_0(A)) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ~ (r1_xxreal_0(k5_numbers, k1_funct_1(A, B))) ) ) ) ) ) ).
fof(t3_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v9_ordinal1(A) &  (v2_comseq_2(A) &  (k1_seq_2(A)=k5_numbers & v8_valued_0(A)) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ~ (r1_xxreal_0(k1_funct_1(A, B), k5_numbers)) ) ) ) ) ) ).
fof(t4_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( (v2_comseq_2(A) &  ( ~ (r1_xxreal_0(k1_seq_2(A), k5_numbers))  &  (! [B] :  (v7_ordinal1(B) =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(B, C) & r1_xxreal_0(k1_funct_1(A, C), k5_numbers)) ) ) ) ) ) ) ) ) ) ).
fof(t5_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( (v2_comseq_2(A) &  ( ~ (r1_xxreal_0(k1_seq_2(A), k5_numbers))  &  (! [B] :  (v7_ordinal1(B) =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(B, C) & r1_xxreal_0(k1_funct_1(A, C), k7_xcmplx_0(k1_seq_2(A), 2))) ) ) ) ) ) ) ) ) ) ).
fof(d4_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_limfunc1(A) <=>  (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v7_ordinal1(C) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(C, D) & r1_xxreal_0(k1_funct_1(A, D), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v2_limfunc1(A) <=>  (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v7_ordinal1(C) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(C, D) & r1_xxreal_0(B, k1_funct_1(A, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( ( (v1_limfunc1(A) | v2_limfunc1(A))  &  (! [B] :  (v7_ordinal1(B) =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(B, C) &  ~ (v9_ordinal1(k1_valued_0(k1_numbers, A, C))) ) ) ) ) ) ) ) ) ) ).
fof(t7_limfunc1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v1_limfunc1(k1_valued_0(k1_numbers, B, A)) => v1_limfunc1(B))  &  (v2_limfunc1(k1_valued_0(k1_numbers, B, A)) => v2_limfunc1(B)) ) ) ) ) ) ).
fof(t8_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v1_limfunc1(A) & v1_limfunc1(B))  => v1_limfunc1(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B))) ) ) ) ) ).
fof(t9_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v1_limfunc1(A) & v2_seq_2(B))  => v1_limfunc1(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B))) ) ) ) ) ).
fof(t10_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v1_limfunc1(A) & v1_limfunc1(B))  => v1_limfunc1(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B))) ) ) ) ) ).
fof(t11_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_limfunc1(A) & v2_limfunc1(B))  => v2_limfunc1(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B))) ) ) ) ) ).
fof(t12_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_limfunc1(A) & v1_seq_2(B))  => v2_limfunc1(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B))) ) ) ) ) ).
fof(t13_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  (v1_xreal_0(B) =>  ( (v1_limfunc1(A) =>  (r1_xxreal_0(B, k5_numbers) | v1_limfunc1(k26_valued_1(k4_ordinal1, k1_numbers, A, B))) )  &  ( (v1_limfunc1(A) =>  (r1_xxreal_0(k5_numbers, B) | v2_limfunc1(k26_valued_1(k4_ordinal1, k1_numbers, A, B))) )  &  (B=k5_numbers =>  (k10_xtuple_0(k26_valued_1(k4_ordinal1, k1_numbers, A, B))=k1_tarski(k5_numbers) & v3_funct_1(k26_valued_1(k4_ordinal1, k1_numbers, A, B))) ) ) ) ) ) ) ) ).
fof(t14_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  (v1_xreal_0(B) =>  ( (v2_limfunc1(A) =>  (r1_xxreal_0(B, k5_numbers) | v2_limfunc1(k26_valued_1(k4_ordinal1, k1_numbers, A, B))) )  &  ( (v2_limfunc1(A) =>  (r1_xxreal_0(k5_numbers, B) | v1_limfunc1(k26_valued_1(k4_ordinal1, k1_numbers, A, B))) )  &  (B=k5_numbers =>  (k10_xtuple_0(k26_valued_1(k4_ordinal1, k1_numbers, A, B))=k1_tarski(k5_numbers) & v3_funct_1(k26_valued_1(k4_ordinal1, k1_numbers, A, B))) ) ) ) ) ) ) ) ).
fof(t15_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v1_limfunc1(A) => v2_limfunc1(k32_valued_1(k4_ordinal1, k1_numbers, A)))  &  (v2_limfunc1(A) => v1_limfunc1(k32_valued_1(k4_ordinal1, k1_numbers, A))) ) ) ) ).
fof(t16_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_seq_2(A) & v2_limfunc1(B))  => v1_limfunc1(k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B))) ) ) ) ) ).
fof(t17_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v1_seq_2(A) & v1_limfunc1(B))  => v2_limfunc1(k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B))) ) ) ) ) ).
fof(t18_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v1_limfunc1(A) & v2_comseq_2(B))  => v1_limfunc1(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B))) ) ) ) ) ).
fof(t19_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_limfunc1(A) & v2_comseq_2(B))  => v2_limfunc1(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B))) ) ) ) ) ).
fof(t20_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (! [B] :  (v7_ordinal1(B) => k1_funct_1(A, B)=B) )  => v1_limfunc1(A)) ) ) ).
fof(t21_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (! [B] :  (v7_ordinal1(B) => k1_funct_1(A, B)=k4_xcmplx_0(B)) )  => v2_limfunc1(A)) ) ) ).
fof(t22_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_limfunc1(A) =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(C, k1_funct_1(B, D))) ) ) ) ) )  | v1_limfunc1(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B))) ) ) ) ) ) ).
fof(t23_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v2_limfunc1(A) =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(C, k1_funct_1(B, D))) ) ) ) ) )  | v2_limfunc1(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B))) ) ) ) ) ) ).
fof(t24_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_limfunc1(A) & v2_limfunc1(B))  => v1_limfunc1(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B))) ) ) ) ) ).
fof(t25_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v1_limfunc1(A) | v2_limfunc1(A))  => v1_limfunc1(k56_valued_1(k4_ordinal1, k1_numbers, A))) ) ) ).
fof(t26_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v1_limfunc1(A) & m2_valued_0(B, k1_numbers, A))  => v1_limfunc1(B)) ) ) ) ) ).
fof(t27_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_limfunc1(A) & m2_valued_0(B, k1_numbers, A))  => v2_limfunc1(B)) ) ) ) ) ).
fof(t28_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v1_limfunc1(A) & v2_comseq_2(B))  =>  (r1_xxreal_0(k1_seq_2(B), k5_numbers) | v1_limfunc1(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B))) ) ) ) ) ) ).
fof(t29_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v7_valued_0(A) =>  (v1_seq_2(A) | v1_limfunc1(A)) ) ) ) ).
fof(t30_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v8_valued_0(A) =>  (v2_seq_2(A) | v2_limfunc1(A)) ) ) ) ).
fof(t31_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v5_valued_0(A) =>  (v1_seq_2(A) | v1_limfunc1(A)) ) ) ) ).
fof(t32_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v6_valued_0(A) =>  (v2_seq_2(A) | v2_limfunc1(A)) ) ) ) ).
fof(t33_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( (v1_seqm_3(A) &  ( ~ (v2_comseq_2(A))  &  ( ~ (v1_limfunc1(A))  &  ~ (v2_limfunc1(A)) ) ) ) ) ) ) ).
fof(t34_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v1_limfunc1(A) | v2_limfunc1(A))  =>  (v2_comseq_2(k37_valued_1(k4_ordinal1, k1_numbers, A)) & k1_seq_2(k37_valued_1(k4_ordinal1, k1_numbers, A))=k5_numbers) ) ) ) ).
fof(t35_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_comseq_2(A) & k1_seq_2(A)=k5_numbers)  =>  ( (! [B] :  (v7_ordinal1(B) =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(B, C) & r1_xxreal_0(k1_funct_1(A, C), k5_numbers)) ) ) ) )  | v1_limfunc1(k37_valued_1(k4_ordinal1, k1_numbers, A))) ) ) ) ).
fof(t36_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_comseq_2(A) & k1_seq_2(A)=k5_numbers)  =>  ( (! [B] :  (v7_ordinal1(B) =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(B, C) & r1_xxreal_0(k5_numbers, k1_funct_1(A, C))) ) ) ) )  | v2_limfunc1(k37_valued_1(k4_ordinal1, k1_numbers, A))) ) ) ) ).
fof(t37_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v9_ordinal1(A) &  (v2_comseq_2(A) &  (k1_seq_2(A)=k5_numbers & v7_valued_0(A)) ) )  => v2_limfunc1(k37_valued_1(k4_ordinal1, k1_numbers, A))) ) ) ).
fof(t38_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v9_ordinal1(A) &  (v2_comseq_2(A) &  (k1_seq_2(A)=k5_numbers & v8_valued_0(A)) ) )  => v1_limfunc1(k37_valued_1(k4_ordinal1, k1_numbers, A))) ) ) ).
fof(t39_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v9_ordinal1(A) &  (v2_comseq_2(A) &  (k1_seq_2(A)=k5_numbers & v5_valued_0(A)) ) )  => v2_limfunc1(k37_valued_1(k4_ordinal1, k1_numbers, A))) ) ) ).
fof(t40_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v9_ordinal1(A) &  (v2_comseq_2(A) &  (k1_seq_2(A)=k5_numbers & v6_valued_0(A)) ) )  => v1_limfunc1(k37_valued_1(k4_ordinal1, k1_numbers, A))) ) ) ).
fof(t41_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_comseq_2(A) =>  ( ( ~ (v1_limfunc1(B))  &  ~ (v2_limfunc1(B)) )  |  (v2_comseq_2(k52_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B)) & k1_seq_2(k52_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B))=k5_numbers) ) ) ) ) ) ) ).
fof(t42_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v1_limfunc1(A) &  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k1_funct_1(A, C), k1_funct_1(B, C))) ) )  => v1_limfunc1(B)) ) ) ) ) ).
fof(t43_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_limfunc1(A) &  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k1_funct_1(B, C), k1_funct_1(A, C))) ) )  => v2_limfunc1(B)) ) ) ) ) ).
fof(d6_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v3_limfunc1(A) <=>  ( (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(C, B))  & r2_hidden(C, k1_relset_1(k1_numbers, A))) ) ) ) )  &  (? [B] :  (v1_xreal_0(B) &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v1_limfunc1(C) & r1_tarski(k10_xtuple_0(C), k1_relset_1(k1_numbers, A)))  =>  (v2_comseq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, C, A)) & k1_seq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, C, A))=B) ) ) ) ) ) ) ) ) ) ).
fof(d7_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v4_limfunc1(A) <=>  ( (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(C, B))  & r2_hidden(C, k1_relset_1(k1_numbers, A))) ) ) ) )  &  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v1_limfunc1(B) & r1_tarski(k10_xtuple_0(B), k1_relset_1(k1_numbers, A)))  => v1_limfunc1(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, B, A))) ) ) ) ) ) ) ).
fof(d8_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v5_limfunc1(A) <=>  ( (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(C, B))  & r2_hidden(C, k1_relset_1(k1_numbers, A))) ) ) ) )  &  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v1_limfunc1(B) & r1_tarski(k10_xtuple_0(B), k1_relset_1(k1_numbers, A)))  => v2_limfunc1(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, B, A))) ) ) ) ) ) ) ).
fof(d9_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v6_limfunc1(A) <=>  ( (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(B, C))  & r2_hidden(C, k1_relset_1(k1_numbers, A))) ) ) ) )  &  (? [B] :  (v1_xreal_0(B) &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_limfunc1(C) & r1_tarski(k10_xtuple_0(C), k1_relset_1(k1_numbers, A)))  =>  (v2_comseq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, C, A)) & k1_seq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, C, A))=B) ) ) ) ) ) ) ) ) ) ).
fof(d10_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v7_limfunc1(A) <=>  ( (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(B, C))  & r2_hidden(C, k1_relset_1(k1_numbers, A))) ) ) ) )  &  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_limfunc1(B) & r1_tarski(k10_xtuple_0(B), k1_relset_1(k1_numbers, A)))  => v1_limfunc1(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, B, A))) ) ) ) ) ) ) ).
fof(d11_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v8_limfunc1(A) <=>  ( (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(B, C))  & r2_hidden(C, k1_relset_1(k1_numbers, A))) ) ) ) )  &  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_limfunc1(B) & r1_tarski(k10_xtuple_0(B), k1_relset_1(k1_numbers, A)))  => v2_limfunc1(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, B, A))) ) ) ) ) ) ) ).
fof(t44_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v3_limfunc1(A) <=>  ( (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(C, B))  & r2_hidden(C, k1_relset_1(k1_numbers, A))) ) ) ) )  &  (? [B] :  (v1_xreal_0(B) &  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v1_xreal_0(D) =>  (? [E] :  (v1_xreal_0(E) &  ( ~ (r1_xxreal_0(E, D))  &  (r2_hidden(E, k1_relset_1(k1_numbers, A)) & r1_xxreal_0(C, k9_complex1(k6_xcmplx_0(k1_funct_1(A, E), B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v6_limfunc1(A) <=>  ( (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(B, C))  & r2_hidden(C, k1_relset_1(k1_numbers, A))) ) ) ) )  &  (? [B] :  (v1_xreal_0(B) &  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v1_xreal_0(D) =>  (? [E] :  (v1_xreal_0(E) &  ( ~ (r1_xxreal_0(D, E))  &  (r2_hidden(E, k1_relset_1(k1_numbers, A)) & r1_xxreal_0(C, k9_complex1(k6_xcmplx_0(k1_funct_1(A, E), B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v4_limfunc1(A) <=>  ( (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(C, B))  & r2_hidden(C, k1_relset_1(k1_numbers, A))) ) ) ) )  &  (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, C))  &  (r2_hidden(D, k1_relset_1(k1_numbers, A)) & r1_xxreal_0(k1_funct_1(A, D), B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v5_limfunc1(A) <=>  ( (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(C, B))  & r2_hidden(C, k1_relset_1(k1_numbers, A))) ) ) ) )  &  (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, C))  &  (r2_hidden(D, k1_relset_1(k1_numbers, A)) & r1_xxreal_0(B, k1_funct_1(A, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v7_limfunc1(A) <=>  ( (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(B, C))  & r2_hidden(C, k1_relset_1(k1_numbers, A))) ) ) ) )  &  (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(C, D))  &  (r2_hidden(D, k1_relset_1(k1_numbers, A)) & r1_xxreal_0(k1_funct_1(A, D), B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v8_limfunc1(A) <=>  ( (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(B, C))  & r2_hidden(C, k1_relset_1(k1_numbers, A))) ) ) ) )  &  (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(C, D))  &  (r2_hidden(D, k1_relset_1(k1_numbers, A)) & r1_xxreal_0(B, k1_funct_1(A, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v4_limfunc1(A) &  (v4_limfunc1(B) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, C))  & r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k1_relset_1(k1_numbers, B)))) ) ) ) ) ) )  =>  (v4_limfunc1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)) & v4_limfunc1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B))) ) ) ) ) ) ).
fof(t51_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v5_limfunc1(A) &  (v5_limfunc1(B) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, C))  & r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k1_relset_1(k1_numbers, B)))) ) ) ) ) ) )  =>  (v5_limfunc1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)) & v4_limfunc1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B))) ) ) ) ) ) ).
fof(t52_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v7_limfunc1(A) &  (v7_limfunc1(B) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(C, D))  & r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k1_relset_1(k1_numbers, B)))) ) ) ) ) ) )  =>  (v7_limfunc1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)) & v7_limfunc1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B))) ) ) ) ) ) ).
fof(t53_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v8_limfunc1(A) &  (v8_limfunc1(B) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(C, D))  & r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k1_relset_1(k1_numbers, B)))) ) ) ) ) ) )  =>  (v8_limfunc1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)) & v7_limfunc1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B))) ) ) ) ) ) ).
fof(t54_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v4_limfunc1(A) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, C))  & r2_hidden(D, k1_relset_1(k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ (v2_seq_2(k2_partfun1(k1_numbers, k1_numbers, B, k3_limfunc1(C)))) ) )  | v4_limfunc1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B))) ) ) ) ) ) ).
fof(t55_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v4_limfunc1(A) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, C))  & r2_hidden(D, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k3_limfunc1(D))) => r1_xxreal_0(C, k1_funct_1(B, E))) ) ) ) ) ) ) ) )  | v4_limfunc1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B))) ) ) ) ) ) ).
fof(t56_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v7_limfunc1(A) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(C, D))  & r2_hidden(D, k1_relset_1(k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ (v2_seq_2(k2_partfun1(k1_numbers, k1_numbers, B, k10_prob_1(C)))) ) )  | v7_limfunc1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B))) ) ) ) ) ) ).
fof(t57_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v7_limfunc1(A) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(C, D))  & r2_hidden(D, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k10_prob_1(D))) => r1_xxreal_0(C, k1_funct_1(B, E))) ) ) ) ) ) ) ) )  | v7_limfunc1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B))) ) ) ) ) ) ).
fof(t58_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  ( (v4_limfunc1(A) =>  (r1_xxreal_0(B, k5_numbers) | v4_limfunc1(k26_valued_1(k1_numbers, k1_numbers, A, B))) )  &  ( (v4_limfunc1(A) =>  (r1_xxreal_0(k5_numbers, B) | v5_limfunc1(k26_valued_1(k1_numbers, k1_numbers, A, B))) )  &  ( (v5_limfunc1(A) =>  (r1_xxreal_0(B, k5_numbers) | v5_limfunc1(k26_valued_1(k1_numbers, k1_numbers, A, B))) )  &  (v5_limfunc1(A) =>  (r1_xxreal_0(k5_numbers, B) | v4_limfunc1(k26_valued_1(k1_numbers, k1_numbers, A, B))) ) ) ) ) ) ) ) ) ).
fof(t59_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  ( (v7_limfunc1(A) =>  (r1_xxreal_0(B, k5_numbers) | v7_limfunc1(k26_valued_1(k1_numbers, k1_numbers, A, B))) )  &  ( (v7_limfunc1(A) =>  (r1_xxreal_0(k5_numbers, B) | v8_limfunc1(k26_valued_1(k1_numbers, k1_numbers, A, B))) )  &  ( (v8_limfunc1(A) =>  (r1_xxreal_0(B, k5_numbers) | v8_limfunc1(k26_valued_1(k1_numbers, k1_numbers, A, B))) )  &  (v8_limfunc1(A) =>  (r1_xxreal_0(k5_numbers, B) | v7_limfunc1(k26_valued_1(k1_numbers, k1_numbers, A, B))) ) ) ) ) ) ) ) ) ).
fof(t60_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v4_limfunc1(A) | v5_limfunc1(A))  => v4_limfunc1(k56_valued_1(k1_numbers, k1_numbers, A))) ) ) ).
fof(t61_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v7_limfunc1(A) | v8_limfunc1(A))  => v7_limfunc1(k56_valued_1(k1_numbers, k1_numbers, A))) ) ) ).
fof(t62_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(C, B))  & r2_hidden(C, k1_relset_1(k1_numbers, A))) ) ) ) )  =>  ( (! [B] :  (v1_xreal_0(B) =>  ~ ( (v7_valued_0(k2_partfun1(k1_numbers, k1_numbers, A, k3_limfunc1(B))) &  ~ (v1_seq_2(k2_partfun1(k1_numbers, k1_numbers, A, k3_limfunc1(B)))) ) ) ) )  | v4_limfunc1(A)) ) ) ) ).
fof(t63_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(C, B))  & r2_hidden(C, k1_relset_1(k1_numbers, A))) ) ) ) )  =>  ( (! [B] :  (v1_xreal_0(B) =>  ~ ( (v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, A, k3_limfunc1(B))) &  ~ (v1_seq_2(k2_partfun1(k1_numbers, k1_numbers, A, k3_limfunc1(B)))) ) ) ) )  | v4_limfunc1(A)) ) ) ) ).
fof(t64_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(C, B))  & r2_hidden(C, k1_relset_1(k1_numbers, A))) ) ) ) )  =>  ( (! [B] :  (v1_xreal_0(B) =>  ~ ( (v8_valued_0(k2_partfun1(k1_numbers, k1_numbers, A, k3_limfunc1(B))) &  ~ (v2_seq_2(k2_partfun1(k1_numbers, k1_numbers, A, k3_limfunc1(B)))) ) ) ) )  | v5_limfunc1(A)) ) ) ) ).
fof(t65_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(C, B))  & r2_hidden(C, k1_relset_1(k1_numbers, A))) ) ) ) )  =>  ( (! [B] :  (v1_xreal_0(B) =>  ~ ( (v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, A, k3_limfunc1(B))) &  ~ (v2_seq_2(k2_partfun1(k1_numbers, k1_numbers, A, k3_limfunc1(B)))) ) ) ) )  | v5_limfunc1(A)) ) ) ) ).
fof(t66_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(B, C))  & r2_hidden(C, k1_relset_1(k1_numbers, A))) ) ) ) )  =>  ( (! [B] :  (v1_xreal_0(B) =>  ~ ( (v8_valued_0(k2_partfun1(k1_numbers, k1_numbers, A, k10_prob_1(B))) &  ~ (v1_seq_2(k2_partfun1(k1_numbers, k1_numbers, A, k10_prob_1(B)))) ) ) ) )  | v7_limfunc1(A)) ) ) ) ).
fof(t67_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(B, C))  & r2_hidden(C, k1_relset_1(k1_numbers, A))) ) ) ) )  =>  ( (! [B] :  (v1_xreal_0(B) =>  ~ ( (v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, A, k10_prob_1(B))) &  ~ (v1_seq_2(k2_partfun1(k1_numbers, k1_numbers, A, k10_prob_1(B)))) ) ) ) )  | v7_limfunc1(A)) ) ) ) ).
fof(t68_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(B, C))  & r2_hidden(C, k1_relset_1(k1_numbers, A))) ) ) ) )  =>  ( (! [B] :  (v1_xreal_0(B) =>  ~ ( (v7_valued_0(k2_partfun1(k1_numbers, k1_numbers, A, k10_prob_1(B))) &  ~ (v2_seq_2(k2_partfun1(k1_numbers, k1_numbers, A, k10_prob_1(B)))) ) ) ) )  | v8_limfunc1(A)) ) ) ) ).
fof(t69_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(B, C))  & r2_hidden(C, k1_relset_1(k1_numbers, A))) ) ) ) )  =>  ( (! [B] :  (v1_xreal_0(B) =>  ~ ( (v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, A, k10_prob_1(B))) &  ~ (v2_seq_2(k2_partfun1(k1_numbers, k1_numbers, A, k10_prob_1(B)))) ) ) ) )  | v8_limfunc1(A)) ) ) ) ).
fof(t70_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v4_limfunc1(B) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, C))  & r2_hidden(D, k1_relset_1(k1_numbers, A))) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( (r1_tarski(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k3_limfunc1(C)), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k3_limfunc1(C))) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k3_limfunc1(C))) => r1_xxreal_0(k1_funct_1(B, D), k1_funct_1(A, D))) ) ) ) ) ) )  | v4_limfunc1(A)) ) ) ) ) ) ).
fof(t71_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v5_limfunc1(B) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, C))  & r2_hidden(D, k1_relset_1(k1_numbers, A))) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( (r1_tarski(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k3_limfunc1(C)), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k3_limfunc1(C))) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k3_limfunc1(C))) => r1_xxreal_0(k1_funct_1(A, D), k1_funct_1(B, D))) ) ) ) ) ) )  | v5_limfunc1(A)) ) ) ) ) ) ).
fof(t72_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v7_limfunc1(B) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(C, D))  & r2_hidden(D, k1_relset_1(k1_numbers, A))) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( (r1_tarski(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k10_prob_1(C)), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k10_prob_1(C))) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k10_prob_1(C))) => r1_xxreal_0(k1_funct_1(B, D), k1_funct_1(A, D))) ) ) ) ) ) )  | v7_limfunc1(A)) ) ) ) ) ) ).
fof(t73_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v8_limfunc1(B) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(C, D))  & r2_hidden(D, k1_relset_1(k1_numbers, A))) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( (r1_tarski(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k10_prob_1(C)), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k10_prob_1(C))) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k10_prob_1(C))) => r1_xxreal_0(k1_funct_1(A, D), k1_funct_1(B, D))) ) ) ) ) ) )  | v8_limfunc1(A)) ) ) ) ) ) ).
fof(t74_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v4_limfunc1(B) =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( (r1_tarski(k3_limfunc1(C), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k1_relset_1(k1_numbers, B))) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, k3_limfunc1(C)) => r1_xxreal_0(k1_funct_1(B, D), k1_funct_1(A, D))) ) ) ) ) ) )  | v4_limfunc1(A)) ) ) ) ) ) ).
fof(t75_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v5_limfunc1(B) =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( (r1_tarski(k3_limfunc1(C), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k1_relset_1(k1_numbers, B))) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, k3_limfunc1(C)) => r1_xxreal_0(k1_funct_1(A, D), k1_funct_1(B, D))) ) ) ) ) ) )  | v5_limfunc1(A)) ) ) ) ) ) ).
fof(t76_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v7_limfunc1(B) =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( (r1_tarski(k10_prob_1(C), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k1_relset_1(k1_numbers, B))) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, k10_prob_1(C)) => r1_xxreal_0(k1_funct_1(B, D), k1_funct_1(A, D))) ) ) ) ) ) )  | v7_limfunc1(A)) ) ) ) ) ) ).
fof(t77_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v8_limfunc1(B) =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( (r1_tarski(k10_prob_1(C), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k1_relset_1(k1_numbers, B))) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, k10_prob_1(C)) => r1_xxreal_0(k1_funct_1(A, D), k1_funct_1(B, D))) ) ) ) ) ) )  | v8_limfunc1(A)) ) ) ) ) ) ).
fof(d12_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v3_limfunc1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (B=k4_limfunc1(A) <=>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v1_limfunc1(C) & r1_tarski(k10_xtuple_0(C), k1_relset_1(k1_numbers, A)))  =>  (v2_comseq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, C, A)) & k1_seq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, C, A))=B) ) ) ) ) ) ) ) ) ) ).
fof(d13_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v6_limfunc1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (B=k5_limfunc1(A) <=>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_limfunc1(C) & r1_tarski(k10_xtuple_0(C), k1_relset_1(k1_numbers, A)))  =>  (v2_comseq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, C, A)) & k1_seq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, C, A))=B) ) ) ) ) ) ) ) ) ) ).
fof(t78_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (v6_limfunc1(A) =>  (k5_limfunc1(A)=B <=>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v1_xreal_0(D) =>  (? [E] :  (v1_xreal_0(E) &  ( ~ (r1_xxreal_0(D, E))  &  (r2_hidden(E, k1_relset_1(k1_numbers, A)) & r1_xxreal_0(C, k9_complex1(k6_xcmplx_0(k1_funct_1(A, E), B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t79_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (v3_limfunc1(A) =>  (k4_limfunc1(A)=B <=>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v1_xreal_0(D) =>  (? [E] :  (v1_xreal_0(E) &  ( ~ (r1_xxreal_0(E, D))  &  (r2_hidden(E, k1_relset_1(k1_numbers, A)) & r1_xxreal_0(C, k9_complex1(k6_xcmplx_0(k1_funct_1(A, E), B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t80_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (v3_limfunc1(A) =>  (v3_limfunc1(k26_valued_1(k1_numbers, k1_numbers, A, B)) & k4_limfunc1(k26_valued_1(k1_numbers, k1_numbers, A, B))=k3_xcmplx_0(B, k4_limfunc1(A))) ) ) ) ) ) ).
fof(t81_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v3_limfunc1(A) =>  (v3_limfunc1(k32_valued_1(k1_numbers, k1_numbers, A)) & k4_limfunc1(k32_valued_1(k1_numbers, k1_numbers, A))=k4_xcmplx_0(k4_limfunc1(A))) ) ) ) ).
fof(t82_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v3_limfunc1(A) &  (v3_limfunc1(B) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, C))  & r2_hidden(D, k1_relset_1(k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  =>  (v3_limfunc1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)) & k4_limfunc1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B))=k2_xcmplx_0(k4_limfunc1(A), k4_limfunc1(B))) ) ) ) ) ) ).
fof(t83_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v3_limfunc1(A) &  (v3_limfunc1(B) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, C))  & r2_hidden(D, k1_relset_1(k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  =>  (v3_limfunc1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)) & k4_limfunc1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B))=k6_xcmplx_0(k4_limfunc1(A), k4_limfunc1(B))) ) ) ) ) ) ).
fof(t84_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v3_limfunc1(A) & k8_relat_1(A, k1_tarski(k5_numbers))=k1_xboole_0)  =>  (k4_limfunc1(A)=k5_numbers |  (v3_limfunc1(k6_rfunct_1(k1_numbers, k1_numbers, A)) & k4_limfunc1(k6_rfunct_1(k1_numbers, k1_numbers, A))=k5_xcmplx_0(k4_limfunc1(A))) ) ) ) ) ).
fof(t85_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v3_limfunc1(A) =>  (v3_limfunc1(k56_valued_1(k1_numbers, k1_numbers, A)) & k4_limfunc1(k56_valued_1(k1_numbers, k1_numbers, A))=k9_complex1(k4_limfunc1(A))) ) ) ) ).
fof(t86_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v3_limfunc1(A) &  (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(C, B))  &  (r2_hidden(C, k1_relset_1(k1_numbers, A)) &  ~ (k1_funct_1(A, C)=k5_numbers) ) ) ) ) ) ) )  =>  (k4_limfunc1(A)=k5_numbers |  (v3_limfunc1(k6_rfunct_1(k1_numbers, k1_numbers, A)) & k4_limfunc1(k6_rfunct_1(k1_numbers, k1_numbers, A))=k5_xcmplx_0(k4_limfunc1(A))) ) ) ) ) ).
fof(t87_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v3_limfunc1(A) &  (v3_limfunc1(B) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, C))  & r2_hidden(D, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  =>  (v3_limfunc1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)) & k4_limfunc1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B))=k3_xcmplx_0(k4_limfunc1(A), k4_limfunc1(B))) ) ) ) ) ) ).
fof(t88_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v3_limfunc1(A) &  (v3_limfunc1(B) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, C))  & r2_hidden(D, k1_relset_1(k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  =>  (k4_limfunc1(B)=k5_numbers |  (v3_limfunc1(k3_rfunct_1(k1_numbers, k1_numbers, A, B)) & k4_limfunc1(k3_rfunct_1(k1_numbers, k1_numbers, A, B))=k7_xcmplx_0(k4_limfunc1(A), k4_limfunc1(B))) ) ) ) ) ) ) ).
fof(t89_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (v6_limfunc1(A) =>  (v6_limfunc1(k26_valued_1(k1_numbers, k1_numbers, A, B)) & k5_limfunc1(k26_valued_1(k1_numbers, k1_numbers, A, B))=k3_xcmplx_0(B, k5_limfunc1(A))) ) ) ) ) ) ).
fof(t90_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v6_limfunc1(A) =>  (v6_limfunc1(k32_valued_1(k1_numbers, k1_numbers, A)) & k5_limfunc1(k32_valued_1(k1_numbers, k1_numbers, A))=k4_xcmplx_0(k5_limfunc1(A))) ) ) ) ).
fof(t91_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v6_limfunc1(A) &  (v6_limfunc1(B) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(C, D))  & r2_hidden(D, k1_relset_1(k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  =>  (v6_limfunc1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)) & k5_limfunc1(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B))=k2_xcmplx_0(k5_limfunc1(A), k5_limfunc1(B))) ) ) ) ) ) ).
fof(t92_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v6_limfunc1(A) &  (v6_limfunc1(B) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(C, D))  & r2_hidden(D, k1_relset_1(k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  =>  (v6_limfunc1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)) & k5_limfunc1(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B))=k6_xcmplx_0(k5_limfunc1(A), k5_limfunc1(B))) ) ) ) ) ) ).
fof(t93_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v6_limfunc1(A) & k8_relat_1(A, k1_tarski(k5_numbers))=k1_xboole_0)  =>  (k5_limfunc1(A)=k5_numbers |  (v6_limfunc1(k6_rfunct_1(k1_numbers, k1_numbers, A)) & k5_limfunc1(k6_rfunct_1(k1_numbers, k1_numbers, A))=k5_xcmplx_0(k5_limfunc1(A))) ) ) ) ) ).
fof(t94_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v6_limfunc1(A) =>  (v6_limfunc1(k56_valued_1(k1_numbers, k1_numbers, A)) & k5_limfunc1(k56_valued_1(k1_numbers, k1_numbers, A))=k9_complex1(k5_limfunc1(A))) ) ) ) ).
fof(t95_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v6_limfunc1(A) &  (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(B, C))  &  (r2_hidden(C, k1_relset_1(k1_numbers, A)) &  ~ (k1_funct_1(A, C)=k5_numbers) ) ) ) ) ) ) )  =>  (k5_limfunc1(A)=k5_numbers |  (v6_limfunc1(k6_rfunct_1(k1_numbers, k1_numbers, A)) & k5_limfunc1(k6_rfunct_1(k1_numbers, k1_numbers, A))=k5_xcmplx_0(k5_limfunc1(A))) ) ) ) ) ).
fof(t96_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v6_limfunc1(A) &  (v6_limfunc1(B) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(C, D))  & r2_hidden(D, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  =>  (v6_limfunc1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)) & k5_limfunc1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B))=k3_xcmplx_0(k5_limfunc1(A), k5_limfunc1(B))) ) ) ) ) ) ).
fof(t97_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v6_limfunc1(A) &  (v6_limfunc1(B) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(C, D))  & r2_hidden(D, k1_relset_1(k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  =>  (k5_limfunc1(B)=k5_numbers |  (v6_limfunc1(k3_rfunct_1(k1_numbers, k1_numbers, A, B)) & k5_limfunc1(k3_rfunct_1(k1_numbers, k1_numbers, A, B))=k7_xcmplx_0(k5_limfunc1(A), k5_limfunc1(B))) ) ) ) ) ) ) ).
fof(t98_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v3_limfunc1(A) &  (k4_limfunc1(A)=k5_numbers &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, C))  & r2_hidden(D, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, B, k3_limfunc1(C)))) ) )  |  (v3_limfunc1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)) & k4_limfunc1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B))=k5_numbers) ) ) ) ) ) ) ).
fof(t99_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v6_limfunc1(A) &  (k5_limfunc1(A)=k5_numbers &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(C, D))  & r2_hidden(D, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, B, k10_prob_1(C)))) ) )  |  (v6_limfunc1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)) & k5_limfunc1(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B))=k5_numbers) ) ) ) ) ) ) ).
fof(t100_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v3_limfunc1(B) &  (v3_limfunc1(C) &  (k4_limfunc1(B)=k4_limfunc1(C) &  (! [D] :  (v1_xreal_0(D) =>  (? [E] :  (v1_xreal_0(E) &  ( ~ (r1_xxreal_0(E, D))  & r2_hidden(E, k1_relset_1(k1_numbers, A))) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ( (r1_tarski(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k3_limfunc1(D)), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, C), k3_limfunc1(D))) & r1_tarski(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k3_limfunc1(D)), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k3_limfunc1(D))))  |  (r1_tarski(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, C), k3_limfunc1(D)), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k3_limfunc1(D))) & r1_tarski(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k3_limfunc1(D)), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, C), k3_limfunc1(D)))) )  &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k3_limfunc1(D))) =>  (r1_xxreal_0(k1_funct_1(B, E), k1_funct_1(A, E)) & r1_xxreal_0(k1_funct_1(A, E), k1_funct_1(C, E))) ) ) ) ) ) ) )  |  (v3_limfunc1(A) & k4_limfunc1(A)=k4_limfunc1(B)) ) ) ) ) ) ) ) ) ).
fof(t101_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v3_limfunc1(B) &  (v3_limfunc1(C) & k4_limfunc1(B)=k4_limfunc1(C)) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( (r1_tarski(k3_limfunc1(D), k9_subset_1(k1_numbers, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k1_relset_1(k1_numbers, C)), k1_relset_1(k1_numbers, A))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k3_limfunc1(D)) =>  (r1_xxreal_0(k1_funct_1(B, E), k1_funct_1(A, E)) & r1_xxreal_0(k1_funct_1(A, E), k1_funct_1(C, E))) ) ) ) ) ) ) )  |  (v3_limfunc1(A) & k4_limfunc1(A)=k4_limfunc1(B)) ) ) ) ) ) ) ) ) ).
fof(t102_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v6_limfunc1(B) &  (v6_limfunc1(C) &  (k5_limfunc1(B)=k5_limfunc1(C) &  (! [D] :  (v1_xreal_0(D) =>  (? [E] :  (v1_xreal_0(E) &  ( ~ (r1_xxreal_0(D, E))  & r2_hidden(E, k1_relset_1(k1_numbers, A))) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ( (r1_tarski(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k10_prob_1(D)), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, C), k10_prob_1(D))) & r1_tarski(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k10_prob_1(D)), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k10_prob_1(D))))  |  (r1_tarski(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, C), k10_prob_1(D)), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k10_prob_1(D))) & r1_tarski(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k10_prob_1(D)), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, C), k10_prob_1(D)))) )  &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k10_prob_1(D))) =>  (r1_xxreal_0(k1_funct_1(B, E), k1_funct_1(A, E)) & r1_xxreal_0(k1_funct_1(A, E), k1_funct_1(C, E))) ) ) ) ) ) ) )  |  (v6_limfunc1(A) & k5_limfunc1(A)=k5_limfunc1(B)) ) ) ) ) ) ) ) ) ).
fof(t103_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v6_limfunc1(B) &  (v6_limfunc1(C) & k5_limfunc1(B)=k5_limfunc1(C)) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( (r1_tarski(k10_prob_1(D), k9_subset_1(k1_numbers, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k1_relset_1(k1_numbers, C)), k1_relset_1(k1_numbers, A))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k10_prob_1(D)) =>  (r1_xxreal_0(k1_funct_1(B, E), k1_funct_1(A, E)) & r1_xxreal_0(k1_funct_1(A, E), k1_funct_1(C, E))) ) ) ) ) ) ) )  |  (v6_limfunc1(A) & k5_limfunc1(A)=k5_limfunc1(B)) ) ) ) ) ) ) ) ) ).
fof(t104_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v3_limfunc1(A) & v3_limfunc1(B))  =>  ( (! [C] :  (v1_xreal_0(C) =>  ( ~ ( (r1_tarski(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k3_limfunc1(C)), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k3_limfunc1(C))) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k3_limfunc1(C))) => r1_xxreal_0(k1_funct_1(A, D), k1_funct_1(B, D))) ) ) ) )  &  ~ ( (r1_tarski(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k3_limfunc1(C)), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k3_limfunc1(C))) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k3_limfunc1(C))) => r1_xxreal_0(k1_funct_1(A, D), k1_funct_1(B, D))) ) ) ) ) ) ) )  | r1_xxreal_0(k4_limfunc1(A), k4_limfunc1(B))) ) ) ) ) ) ).
fof(t105_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v6_limfunc1(A) & v6_limfunc1(B))  =>  ( (! [C] :  (v1_xreal_0(C) =>  ( ~ ( (r1_tarski(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k10_prob_1(C)), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k10_prob_1(C))) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k10_prob_1(C))) => r1_xxreal_0(k1_funct_1(A, D), k1_funct_1(B, D))) ) ) ) )  &  ~ ( (r1_tarski(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k10_prob_1(C)), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k10_prob_1(C))) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k10_prob_1(C))) => r1_xxreal_0(k1_funct_1(A, D), k1_funct_1(B, D))) ) ) ) ) ) ) )  | r1_xxreal_0(k5_limfunc1(A), k5_limfunc1(B))) ) ) ) ) ) ).
fof(t106_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(C, B))  &  (r2_hidden(C, k1_relset_1(k1_numbers, A)) &  ~ (k1_funct_1(A, C)=k5_numbers) ) ) ) ) ) )  =>  ( ( ~ (v4_limfunc1(A))  &  ~ (v5_limfunc1(A)) )  |  (v3_limfunc1(k6_rfunct_1(k1_numbers, k1_numbers, A)) & k4_limfunc1(k6_rfunct_1(k1_numbers, k1_numbers, A))=k5_numbers) ) ) ) ) ).
fof(t107_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(B, C))  &  (r2_hidden(C, k1_relset_1(k1_numbers, A)) &  ~ (k1_funct_1(A, C)=k5_numbers) ) ) ) ) ) )  =>  ( ( ~ (v7_limfunc1(A))  &  ~ (v8_limfunc1(A)) )  |  (v6_limfunc1(k6_rfunct_1(k1_numbers, k1_numbers, A)) & k5_limfunc1(k6_rfunct_1(k1_numbers, k1_numbers, A))=k5_numbers) ) ) ) ) ).
fof(t108_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v3_limfunc1(A) &  (k4_limfunc1(A)=k5_numbers &  (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(C, B))  &  (r2_hidden(C, k1_relset_1(k1_numbers, A)) &  ~ (k1_funct_1(A, C)=k5_numbers) ) ) ) ) ) ) ) )  =>  ( (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  (r2_hidden(C, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k3_limfunc1(B))) &  ~ (r1_xxreal_0(k5_numbers, k1_funct_1(A, C))) ) ) ) ) )  | v4_limfunc1(k6_rfunct_1(k1_numbers, k1_numbers, A))) ) ) ) ).
fof(t109_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v3_limfunc1(A) &  (k4_limfunc1(A)=k5_numbers &  (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(C, B))  &  (r2_hidden(C, k1_relset_1(k1_numbers, A)) &  ~ (k1_funct_1(A, C)=k5_numbers) ) ) ) ) ) ) ) )  =>  ( (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  (r2_hidden(C, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k3_limfunc1(B))) &  ~ (r1_xxreal_0(k1_funct_1(A, C), k5_numbers)) ) ) ) ) )  | v5_limfunc1(k6_rfunct_1(k1_numbers, k1_numbers, A))) ) ) ) ).
fof(t110_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v6_limfunc1(A) &  (k5_limfunc1(A)=k5_numbers &  (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(B, C))  &  (r2_hidden(C, k1_relset_1(k1_numbers, A)) &  ~ (k1_funct_1(A, C)=k5_numbers) ) ) ) ) ) ) ) )  =>  ( (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  (r2_hidden(C, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k10_prob_1(B))) &  ~ (r1_xxreal_0(k5_numbers, k1_funct_1(A, C))) ) ) ) ) )  | v7_limfunc1(k6_rfunct_1(k1_numbers, k1_numbers, A))) ) ) ) ).
fof(t111_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v6_limfunc1(A) &  (k5_limfunc1(A)=k5_numbers &  (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(B, C))  &  (r2_hidden(C, k1_relset_1(k1_numbers, A)) &  ~ (k1_funct_1(A, C)=k5_numbers) ) ) ) ) ) ) ) )  =>  ( (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  (r2_hidden(C, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k10_prob_1(B))) &  ~ (r1_xxreal_0(k1_funct_1(A, C), k5_numbers)) ) ) ) ) )  | v8_limfunc1(k6_rfunct_1(k1_numbers, k1_numbers, A))) ) ) ) ).
fof(t112_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v3_limfunc1(A) & k4_limfunc1(A)=k5_numbers)  =>  ( (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  (r2_hidden(C, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k3_limfunc1(B))) & r1_xxreal_0(k1_funct_1(A, C), k5_numbers)) ) ) ) )  | v4_limfunc1(k6_rfunct_1(k1_numbers, k1_numbers, A))) ) ) ) ).
fof(t113_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v3_limfunc1(A) & k4_limfunc1(A)=k5_numbers)  =>  ( (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  (r2_hidden(C, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k3_limfunc1(B))) & r1_xxreal_0(k5_numbers, k1_funct_1(A, C))) ) ) ) )  | v5_limfunc1(k6_rfunct_1(k1_numbers, k1_numbers, A))) ) ) ) ).
fof(t114_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v6_limfunc1(A) & k5_limfunc1(A)=k5_numbers)  =>  ( (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  (r2_hidden(C, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k10_prob_1(B))) & r1_xxreal_0(k1_funct_1(A, C), k5_numbers)) ) ) ) )  | v7_limfunc1(k6_rfunct_1(k1_numbers, k1_numbers, A))) ) ) ) ).
fof(t115_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v6_limfunc1(A) & k5_limfunc1(A)=k5_numbers)  =>  ( (! [B] :  (v1_xreal_0(B) =>  (? [C] :  (v1_xreal_0(C) &  (r2_hidden(C, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k10_prob_1(B))) & r1_xxreal_0(k5_numbers, k1_funct_1(A, C))) ) ) ) )  | v8_limfunc1(k6_rfunct_1(k1_numbers, k1_numbers, A))) ) ) ) ).
fof(dt_k1_limfunc1, axiom,  (! [A] :  (v1_xreal_0(A) => m1_subset_1(k1_limfunc1(A), k1_zfmisc_1(k1_numbers))) ) ).
fof(dt_k2_limfunc1, axiom,  (! [A] :  (v1_xreal_0(A) => m1_subset_1(k2_limfunc1(A), k1_zfmisc_1(k1_numbers))) ) ).
fof(dt_k3_limfunc1, axiom,  (! [A] :  (v1_xreal_0(A) => m1_subset_1(k3_limfunc1(A), k1_zfmisc_1(k1_numbers))) ) ).
fof(dt_k4_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  => v1_xreal_0(k4_limfunc1(A))) ) ).
fof(dt_k5_limfunc1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  => v1_xreal_0(k5_limfunc1(A))) ) ).
fof(t1_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( (v2_comseq_2(B) &  ( ~ (r1_xxreal_0(k1_seq_2(B), A))  &  (! [C] :  (v7_ordinal1(C) =>  (? [D] :  (v7_ordinal1(D) &  (r1_xxreal_0(C, D) & r1_xxreal_0(k1_funct_1(B, D), A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( (v2_comseq_2(B) &  ( ~ (r1_xxreal_0(A, k1_seq_2(B)))  &  (! [C] :  (v7_ordinal1(C) =>  (? [D] :  (v7_ordinal1(D) &  (r1_xxreal_0(C, D) & r1_xxreal_0(A, k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_tarski(k2_rcomp_1(k6_xcmplx_0(A, B), A), k1_relset_1(k1_numbers, C)) =>  (r1_xxreal_0(B, k5_numbers) |  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, D))  &  ( ~ (r1_xxreal_0(A, E))  & r2_hidden(E, k1_relset_1(k1_numbers, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_tarski(k2_rcomp_1(A, k2_xcmplx_0(A, B)), k1_relset_1(k1_numbers, C)) =>  (r1_xxreal_0(B, k5_numbers) |  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(D, E))  &  ( ~ (r1_xxreal_0(E, A))  & r2_hidden(E, k1_relset_1(k1_numbers, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (! [D] :  (v7_ordinal1(D) =>  ( ~ (r1_xxreal_0(k1_funct_1(B, D), k6_xcmplx_0(A, k7_xcmplx_0(1, k1_nat_1(D, 1)))))  &  ( ~ (r1_xxreal_0(A, k1_funct_1(B, D)))  & r2_tarski(k1_funct_1(B, D), k1_relset_1(k1_numbers, C))) ) ) )  =>  (v2_comseq_2(B) &  (k1_seq_2(B)=A &  (r1_tarski(k2_relset_1(k1_numbers, B), k1_relset_1(k1_numbers, C)) & r1_tarski(k2_relset_1(k1_numbers, B), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, C), k10_prob_1(A)))) ) ) ) ) ) ) ) ) ) ).
fof(t6_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (! [D] :  (v7_ordinal1(D) =>  ( ~ (r1_xxreal_0(k1_funct_1(B, D), A))  &  ( ~ (r1_xxreal_0(k2_xcmplx_0(A, k7_xcmplx_0(1, k1_nat_1(D, 1))), k1_funct_1(B, D)))  & r2_tarski(k1_funct_1(B, D), k1_relset_1(k1_numbers, C))) ) ) )  =>  (v2_comseq_2(B) &  (k1_seq_2(B)=A &  (r1_tarski(k2_relset_1(k1_numbers, B), k1_relset_1(k1_numbers, C)) & r1_tarski(k2_relset_1(k1_numbers, B), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, C), k3_limfunc1(A)))) ) ) ) ) ) ) ) ) ) ).
fof(d1_limfunc2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (r1_limfunc2(A, B) <=>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(B, C))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, C))  &  ( ~ (r1_xxreal_0(B, D))  & r2_hidden(D, k1_relset_1(k1_numbers, A))) ) ) ) ) ) ) ) )  &  (? [C] :  (v1_xreal_0(C) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_comseq_2(D) &  (k1_seq_2(D)=B & r1_tarski(k2_relset_1(k1_numbers, D), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k10_prob_1(B)))) )  =>  (v2_comseq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, D, A)) & k1_seq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, D, A))=C) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_limfunc2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (r2_limfunc2(A, B) <=>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(B, C))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, C))  &  ( ~ (r1_xxreal_0(B, D))  & r2_hidden(D, k1_relset_1(k1_numbers, A))) ) ) ) ) ) ) ) )  &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_comseq_2(C) &  (k1_seq_2(C)=B & r1_tarski(k2_relset_1(k1_numbers, C), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k10_prob_1(B)))) )  => v1_limfunc1(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, C, A))) ) ) ) ) ) ) ) ) ).
fof(d3_limfunc2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (r3_limfunc2(A, B) <=>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(B, C))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, C))  &  ( ~ (r1_xxreal_0(B, D))  & r2_hidden(D, k1_relset_1(k1_numbers, A))) ) ) ) ) ) ) ) )  &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_comseq_2(C) &  (k1_seq_2(C)=B & r1_tarski(k2_relset_1(k1_numbers, C), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k10_prob_1(B)))) )  => v2_limfunc1(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, C, A))) ) ) ) ) ) ) ) ) ).
fof(d4_limfunc2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (r4_limfunc2(A, B) <=>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, B))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(C, D))  &  ( ~ (r1_xxreal_0(D, B))  & r2_hidden(D, k1_relset_1(k1_numbers, A))) ) ) ) ) ) ) ) )  &  (? [C] :  (v1_xreal_0(C) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_comseq_2(D) &  (k1_seq_2(D)=B & r1_tarski(k2_relset_1(k1_numbers, D), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k3_limfunc1(B)))) )  =>  (v2_comseq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, D, A)) & k1_seq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, D, A))=C) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_limfunc2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (r5_limfunc2(A, B) <=>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, B))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(C, D))  &  ( ~ (r1_xxreal_0(D, B))  & r2_hidden(D, k1_relset_1(k1_numbers, A))) ) ) ) ) ) ) ) )  &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_comseq_2(C) &  (k1_seq_2(C)=B & r1_tarski(k2_relset_1(k1_numbers, C), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k3_limfunc1(B)))) )  => v1_limfunc1(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, C, A))) ) ) ) ) ) ) ) ) ).
fof(d6_limfunc2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (r6_limfunc2(A, B) <=>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, B))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(C, D))  &  ( ~ (r1_xxreal_0(D, B))  & r2_hidden(D, k1_relset_1(k1_numbers, A))) ) ) ) ) ) ) ) )  &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_comseq_2(C) &  (k1_seq_2(C)=B & r1_tarski(k2_relset_1(k1_numbers, C), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k3_limfunc1(B)))) )  => v2_limfunc1(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, C, A))) ) ) ) ) ) ) ) ) ).
fof(t7_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_limfunc2(B, A) <=>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(A, C))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, C))  &  ( ~ (r1_xxreal_0(A, D))  & r2_hidden(D, k1_relset_1(k1_numbers, B))) ) ) ) ) ) ) ) )  &  (? [C] :  (v1_xreal_0(C) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(A, E))  &  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(A, F))  &  (r2_hidden(F, k1_relset_1(k1_numbers, B)) & r1_xxreal_0(D, k9_complex1(k6_xcmplx_0(k1_funct_1(B, F), C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r2_limfunc2(B, A) <=>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(A, C))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, C))  &  ( ~ (r1_xxreal_0(A, D))  & r2_hidden(D, k1_relset_1(k1_numbers, B))) ) ) ) ) ) ) ) )  &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(A, D))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, D))  &  ( ~ (r1_xxreal_0(A, E))  &  (r2_hidden(E, k1_relset_1(k1_numbers, B)) & r1_xxreal_0(k1_funct_1(B, E), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r3_limfunc2(B, A) <=>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(A, C))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, C))  &  ( ~ (r1_xxreal_0(A, D))  & r2_hidden(D, k1_relset_1(k1_numbers, B))) ) ) ) ) ) ) ) )  &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(A, D))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, D))  &  ( ~ (r1_xxreal_0(A, E))  &  (r2_hidden(E, k1_relset_1(k1_numbers, B)) & r1_xxreal_0(C, k1_funct_1(B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r4_limfunc2(B, A) <=>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, A))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(C, D))  &  ( ~ (r1_xxreal_0(D, A))  & r2_hidden(D, k1_relset_1(k1_numbers, B))) ) ) ) ) ) ) ) )  &  (? [C] :  (v1_xreal_0(C) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, A))  &  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(E, F))  &  ( ~ (r1_xxreal_0(F, A))  &  (r2_hidden(F, k1_relset_1(k1_numbers, B)) & r1_xxreal_0(D, k9_complex1(k6_xcmplx_0(k1_funct_1(B, F), C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r5_limfunc2(B, A) <=>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, A))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(C, D))  &  ( ~ (r1_xxreal_0(D, A))  & r2_hidden(D, k1_relset_1(k1_numbers, B))) ) ) ) ) ) ) ) )  &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(D, E))  &  ( ~ (r1_xxreal_0(E, A))  &  (r2_hidden(E, k1_relset_1(k1_numbers, B)) & r1_xxreal_0(k1_funct_1(B, E), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r6_limfunc2(B, A) <=>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, A))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(C, D))  &  ( ~ (r1_xxreal_0(D, A))  & r2_hidden(D, k1_relset_1(k1_numbers, B))) ) ) ) ) ) ) ) )  &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(D, E))  &  ( ~ (r1_xxreal_0(E, A))  &  (r2_hidden(E, k1_relset_1(k1_numbers, B)) & r1_xxreal_0(C, k1_funct_1(B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_limfunc2(B, A) &  (r2_limfunc2(C, A) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, D))  &  ( ~ (r1_xxreal_0(A, E))  & r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k1_relset_1(k1_numbers, C)))) ) ) ) ) ) ) ) ) ) )  =>  (r2_limfunc2(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A) & r2_limfunc2(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ) ).
fof(t14_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r3_limfunc2(B, A) &  (r3_limfunc2(C, A) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, D))  &  ( ~ (r1_xxreal_0(A, E))  & r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k1_relset_1(k1_numbers, C)))) ) ) ) ) ) ) ) ) ) )  =>  (r3_limfunc2(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A) & r2_limfunc2(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ) ).
fof(t15_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r5_limfunc2(B, A) &  (r5_limfunc2(C, A) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(D, E))  &  ( ~ (r1_xxreal_0(E, A))  & r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k1_relset_1(k1_numbers, C)))) ) ) ) ) ) ) ) ) ) )  =>  (r5_limfunc2(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A) & r5_limfunc2(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ) ).
fof(t16_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r6_limfunc2(B, A) &  (r6_limfunc2(C, A) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(D, E))  &  ( ~ (r1_xxreal_0(E, A))  & r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k1_relset_1(k1_numbers, C)))) ) ) ) ) ) ) ) ) ) )  =>  (r6_limfunc2(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A) & r5_limfunc2(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ) ).
fof(t17_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_limfunc2(B, A) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, D))  &  ( ~ (r1_xxreal_0(A, E))  & r2_hidden(E, k1_relset_1(k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  & v2_seq_2(k2_partfun1(k1_numbers, k1_numbers, C, k2_rcomp_1(k6_xcmplx_0(A, D), A)))) ) ) )  | r2_limfunc2(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ) ).
fof(t18_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_limfunc2(B, A) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, D))  &  ( ~ (r1_xxreal_0(A, E))  & r2_hidden(E, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, C), k2_rcomp_1(k6_xcmplx_0(A, D), A))) => r1_xxreal_0(E, k1_funct_1(C, F))) ) ) ) ) ) ) ) ) )  | r2_limfunc2(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ) ).
fof(t19_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r5_limfunc2(B, A) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(D, E))  &  ( ~ (r1_xxreal_0(E, A))  & r2_hidden(E, k1_relset_1(k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  & v2_seq_2(k2_partfun1(k1_numbers, k1_numbers, C, k2_rcomp_1(A, k2_xcmplx_0(A, D))))) ) ) )  | r5_limfunc2(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ) ).
fof(t20_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r5_limfunc2(B, A) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(D, E))  &  ( ~ (r1_xxreal_0(E, A))  & r2_hidden(E, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, C), k2_rcomp_1(A, k2_xcmplx_0(A, D)))) => r1_xxreal_0(E, k1_funct_1(C, F))) ) ) ) ) ) ) ) ) )  | r5_limfunc2(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ) ).
fof(t21_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_limfunc2(C, B) =>  (r1_xxreal_0(A, k5_numbers) | r2_limfunc2(k26_valued_1(k1_numbers, k1_numbers, C, A), B)) )  &  ( (r2_limfunc2(C, B) =>  (r1_xxreal_0(k5_numbers, A) | r3_limfunc2(k26_valued_1(k1_numbers, k1_numbers, C, A), B)) )  &  ( (r3_limfunc2(C, B) =>  (r1_xxreal_0(A, k5_numbers) | r3_limfunc2(k26_valued_1(k1_numbers, k1_numbers, C, A), B)) )  &  (r3_limfunc2(C, B) =>  (r1_xxreal_0(k5_numbers, A) | r2_limfunc2(k26_valued_1(k1_numbers, k1_numbers, C, A), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r5_limfunc2(C, B) =>  (r1_xxreal_0(A, k5_numbers) | r5_limfunc2(k26_valued_1(k1_numbers, k1_numbers, C, A), B)) )  &  ( (r5_limfunc2(C, B) =>  (r1_xxreal_0(k5_numbers, A) | r6_limfunc2(k26_valued_1(k1_numbers, k1_numbers, C, A), B)) )  &  ( (r6_limfunc2(C, B) =>  (r1_xxreal_0(A, k5_numbers) | r6_limfunc2(k26_valued_1(k1_numbers, k1_numbers, C, A), B)) )  &  (r6_limfunc2(C, B) =>  (r1_xxreal_0(k5_numbers, A) | r5_limfunc2(k26_valued_1(k1_numbers, k1_numbers, C, A), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_limfunc2(B, A) | r3_limfunc2(B, A))  => r2_limfunc2(k56_valued_1(k1_numbers, k1_numbers, B), A)) ) ) ) ) ).
fof(t24_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r5_limfunc2(B, A) | r6_limfunc2(B, A))  => r5_limfunc2(k56_valued_1(k1_numbers, k1_numbers, B), A)) ) ) ) ) ).
fof(t25_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(A, C))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, C))  &  ( ~ (r1_xxreal_0(A, D))  & r2_hidden(D, k1_relset_1(k1_numbers, B))) ) ) ) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( (v7_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k2_rcomp_1(k6_xcmplx_0(A, C), A))) &  ~ (v1_seq_2(k2_partfun1(k1_numbers, k1_numbers, B, k2_rcomp_1(k6_xcmplx_0(A, C), A)))) ) ) ) )  | r2_limfunc2(B, A)) ) ) ) ) ) ).
fof(t26_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(A, C))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, C))  &  ( ~ (r1_xxreal_0(A, D))  & r2_hidden(D, k1_relset_1(k1_numbers, B))) ) ) ) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k2_rcomp_1(k6_xcmplx_0(A, C), A))) &  ~ (v1_seq_2(k2_partfun1(k1_numbers, k1_numbers, B, k2_rcomp_1(k6_xcmplx_0(A, C), A)))) ) ) ) ) )  | r2_limfunc2(B, A)) ) ) ) ) ) ).
fof(t27_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(A, C))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, C))  &  ( ~ (r1_xxreal_0(A, D))  & r2_hidden(D, k1_relset_1(k1_numbers, B))) ) ) ) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( (v8_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k2_rcomp_1(k6_xcmplx_0(A, C), A))) &  ~ (v2_seq_2(k2_partfun1(k1_numbers, k1_numbers, B, k2_rcomp_1(k6_xcmplx_0(A, C), A)))) ) ) ) )  | r3_limfunc2(B, A)) ) ) ) ) ) ).
fof(t28_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(A, C))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, C))  &  ( ~ (r1_xxreal_0(A, D))  & r2_hidden(D, k1_relset_1(k1_numbers, B))) ) ) ) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k2_rcomp_1(k6_xcmplx_0(A, C), A))) &  ~ (v2_seq_2(k2_partfun1(k1_numbers, k1_numbers, B, k2_rcomp_1(k6_xcmplx_0(A, C), A)))) ) ) ) ) )  | r3_limfunc2(B, A)) ) ) ) ) ) ).
fof(t29_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, A))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(C, D))  &  ( ~ (r1_xxreal_0(D, A))  & r2_hidden(D, k1_relset_1(k1_numbers, B))) ) ) ) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( (v8_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k2_rcomp_1(A, k2_xcmplx_0(A, C)))) &  ~ (v1_seq_2(k2_partfun1(k1_numbers, k1_numbers, B, k2_rcomp_1(A, k2_xcmplx_0(A, C))))) ) ) ) )  | r5_limfunc2(B, A)) ) ) ) ) ) ).
fof(t30_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, A))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(C, D))  &  ( ~ (r1_xxreal_0(D, A))  & r2_hidden(D, k1_relset_1(k1_numbers, B))) ) ) ) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k2_rcomp_1(A, k2_xcmplx_0(A, C)))) &  ~ (v1_seq_2(k2_partfun1(k1_numbers, k1_numbers, B, k2_rcomp_1(A, k2_xcmplx_0(A, C))))) ) ) ) ) )  | r5_limfunc2(B, A)) ) ) ) ) ) ).
fof(t31_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, A))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(C, D))  &  ( ~ (r1_xxreal_0(D, A))  & r2_hidden(D, k1_relset_1(k1_numbers, B))) ) ) ) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( (v7_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k2_rcomp_1(A, k2_xcmplx_0(A, C)))) &  ~ (v2_seq_2(k2_partfun1(k1_numbers, k1_numbers, B, k2_rcomp_1(A, k2_xcmplx_0(A, C))))) ) ) ) )  | r6_limfunc2(B, A)) ) ) ) ) ) ).
fof(t32_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, A))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(C, D))  &  ( ~ (r1_xxreal_0(D, A))  & r2_hidden(D, k1_relset_1(k1_numbers, B))) ) ) ) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k2_rcomp_1(A, k2_xcmplx_0(A, C)))) &  ~ (v2_seq_2(k2_partfun1(k1_numbers, k1_numbers, B, k2_rcomp_1(A, k2_xcmplx_0(A, C))))) ) ) ) ) )  | r6_limfunc2(B, A)) ) ) ) ) ) ).
fof(t33_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_limfunc2(C, A) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, D))  &  ( ~ (r1_xxreal_0(A, E))  & r2_hidden(E, k1_relset_1(k1_numbers, B))) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (r1_tarski(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(k6_xcmplx_0(A, D), A)), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, C), k2_rcomp_1(k6_xcmplx_0(A, D), A))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(k6_xcmplx_0(A, D), A))) => r1_xxreal_0(k1_funct_1(C, E), k1_funct_1(B, E))) ) ) ) ) ) ) )  | r2_limfunc2(B, A)) ) ) ) ) ) ) ) ).
fof(t34_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r3_limfunc2(C, A) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, D))  &  ( ~ (r1_xxreal_0(A, E))  & r2_hidden(E, k1_relset_1(k1_numbers, B))) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (r1_tarski(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(k6_xcmplx_0(A, D), A)), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, C), k2_rcomp_1(k6_xcmplx_0(A, D), A))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(k6_xcmplx_0(A, D), A))) => r1_xxreal_0(k1_funct_1(B, E), k1_funct_1(C, E))) ) ) ) ) ) ) )  | r3_limfunc2(B, A)) ) ) ) ) ) ) ) ).
fof(t35_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r5_limfunc2(C, A) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(D, E))  &  ( ~ (r1_xxreal_0(E, A))  & r2_hidden(E, k1_relset_1(k1_numbers, B))) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (r1_tarski(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(A, k2_xcmplx_0(A, D))), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, C), k2_rcomp_1(A, k2_xcmplx_0(A, D)))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(A, k2_xcmplx_0(A, D)))) => r1_xxreal_0(k1_funct_1(C, E), k1_funct_1(B, E))) ) ) ) ) ) ) )  | r5_limfunc2(B, A)) ) ) ) ) ) ) ) ).
fof(t36_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r6_limfunc2(C, A) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(D, E))  &  ( ~ (r1_xxreal_0(E, A))  & r2_hidden(E, k1_relset_1(k1_numbers, B))) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (r1_tarski(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(A, k2_xcmplx_0(A, D))), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, C), k2_rcomp_1(A, k2_xcmplx_0(A, D)))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(A, k2_xcmplx_0(A, D)))) => r1_xxreal_0(k1_funct_1(B, E), k1_funct_1(C, E))) ) ) ) ) ) ) )  | r6_limfunc2(B, A)) ) ) ) ) ) ) ) ).
fof(t37_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r2_limfunc2(C, A) =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (r1_tarski(k2_rcomp_1(k6_xcmplx_0(A, D), A), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k1_relset_1(k1_numbers, C))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k2_rcomp_1(k6_xcmplx_0(A, D), A)) => r1_xxreal_0(k1_funct_1(C, E), k1_funct_1(B, E))) ) ) ) ) ) ) )  | r2_limfunc2(B, A)) ) ) ) ) ) ) ) ).
fof(t38_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r3_limfunc2(C, A) =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (r1_tarski(k2_rcomp_1(k6_xcmplx_0(A, D), A), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k1_relset_1(k1_numbers, C))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k2_rcomp_1(k6_xcmplx_0(A, D), A)) => r1_xxreal_0(k1_funct_1(B, E), k1_funct_1(C, E))) ) ) ) ) ) ) )  | r3_limfunc2(B, A)) ) ) ) ) ) ) ) ).
fof(t39_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r5_limfunc2(C, A) =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (r1_tarski(k2_rcomp_1(A, k2_xcmplx_0(A, D)), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k1_relset_1(k1_numbers, C))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k2_rcomp_1(A, k2_xcmplx_0(A, D))) => r1_xxreal_0(k1_funct_1(C, E), k1_funct_1(B, E))) ) ) ) ) ) ) )  | r5_limfunc2(B, A)) ) ) ) ) ) ) ) ).
fof(t40_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r6_limfunc2(C, A) =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (r1_tarski(k2_rcomp_1(A, k2_xcmplx_0(A, D)), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k1_relset_1(k1_numbers, C))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k2_rcomp_1(A, k2_xcmplx_0(A, D))) => r1_xxreal_0(k1_funct_1(B, E), k1_funct_1(C, E))) ) ) ) ) ) ) )  | r6_limfunc2(B, A)) ) ) ) ) ) ) ) ).
fof(d7_limfunc2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (r1_limfunc2(A, B) =>  (! [C] :  (v1_xreal_0(C) =>  (C=k1_limfunc2(A, B) <=>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_comseq_2(D) &  (k1_seq_2(D)=B & r1_tarski(k2_relset_1(k1_numbers, D), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k10_prob_1(B)))) )  =>  (v2_comseq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, D, A)) & k1_seq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, D, A))=C) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_limfunc2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (r4_limfunc2(A, B) =>  (! [C] :  (v1_xreal_0(C) =>  (C=k2_limfunc2(A, B) <=>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_comseq_2(D) &  (k1_seq_2(D)=B & r1_tarski(k2_relset_1(k1_numbers, D), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k3_limfunc1(B)))) )  =>  (v2_comseq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, D, A)) & k1_seq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, D, A))=C) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_limfunc2(C, B) =>  (k1_limfunc2(C, B)=A <=>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(B, E))  &  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(B, F))  &  (r2_hidden(F, k1_relset_1(k1_numbers, C)) & r1_xxreal_0(D, k9_complex1(k6_xcmplx_0(k1_funct_1(C, F), A)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r4_limfunc2(C, B) =>  (k2_limfunc2(C, B)=A <=>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, B))  &  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(E, F))  &  ( ~ (r1_xxreal_0(F, B))  &  (r2_hidden(F, k1_relset_1(k1_numbers, C)) & r1_xxreal_0(D, k9_complex1(k6_xcmplx_0(k1_funct_1(C, F), A)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_limfunc2(C, B) =>  (r1_limfunc2(k26_valued_1(k1_numbers, k1_numbers, C, A), B) & k1_limfunc2(k26_valued_1(k1_numbers, k1_numbers, C, A), B)=k3_xcmplx_0(A, k1_limfunc2(C, B))) ) ) ) ) ) ) ) ).
fof(t44_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_limfunc2(B, A) =>  (r1_limfunc2(k32_valued_1(k1_numbers, k1_numbers, B), A) & k1_limfunc2(k32_valued_1(k1_numbers, k1_numbers, B), A)=k4_xcmplx_0(k1_limfunc2(B, A))) ) ) ) ) ) ).
fof(t45_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc2(B, A) &  (r1_limfunc2(C, A) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, D))  &  ( ~ (r1_xxreal_0(A, E))  & r2_hidden(E, k1_relset_1(k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  =>  (r1_limfunc2(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A) & k1_limfunc2(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A)=k2_xcmplx_0(k1_limfunc2(B, A), k1_limfunc2(C, A))) ) ) ) ) ) ) ) ).
fof(t46_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc2(B, A) &  (r1_limfunc2(C, A) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, D))  &  ( ~ (r1_xxreal_0(A, E))  & r2_hidden(E, k1_relset_1(k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  =>  (r1_limfunc2(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A) & k1_limfunc2(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A)=k6_xcmplx_0(k1_limfunc2(B, A), k1_limfunc2(C, A))) ) ) ) ) ) ) ) ).
fof(t47_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc2(B, A) & k8_relset_1(k1_numbers, k1_numbers, B, k1_tarski(k5_numbers))=k1_xboole_0)  =>  (k1_limfunc2(B, A)=k5_numbers |  (r1_limfunc2(k6_rfunct_1(k1_numbers, k1_numbers, B), A) & k1_limfunc2(k6_rfunct_1(k1_numbers, k1_numbers, B), A)=k5_xcmplx_0(k1_limfunc2(B, A))) ) ) ) ) ) ) ).
fof(t48_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_limfunc2(B, A) =>  (r1_limfunc2(k56_valued_1(k1_numbers, k1_numbers, B), A) & k1_limfunc2(k56_valued_1(k1_numbers, k1_numbers, B), A)=k9_complex1(k1_limfunc2(B, A))) ) ) ) ) ) ).
fof(t49_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc2(B, A) &  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(A, C))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, C))  &  ( ~ (r1_xxreal_0(A, D))  &  (r2_hidden(D, k1_relset_1(k1_numbers, B)) &  ~ (k1_funct_1(B, D)=k5_numbers) ) ) ) ) ) ) ) ) ) ) )  =>  (k1_limfunc2(B, A)=k5_numbers |  (r1_limfunc2(k6_rfunct_1(k1_numbers, k1_numbers, B), A) & k1_limfunc2(k6_rfunct_1(k1_numbers, k1_numbers, B), A)=k5_xcmplx_0(k1_limfunc2(B, A))) ) ) ) ) ) ) ).
fof(t50_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc2(B, A) &  (r1_limfunc2(C, A) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, D))  &  ( ~ (r1_xxreal_0(A, E))  & r2_hidden(E, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  =>  (r1_limfunc2(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A) & k1_limfunc2(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A)=k3_xcmplx_0(k1_limfunc2(B, A), k1_limfunc2(C, A))) ) ) ) ) ) ) ) ).
fof(t51_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc2(B, A) &  (r1_limfunc2(C, A) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, D))  &  ( ~ (r1_xxreal_0(A, E))  & r2_hidden(E, k1_relset_1(k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  =>  (k1_limfunc2(C, A)=k5_numbers |  (r1_limfunc2(k3_rfunct_1(k1_numbers, k1_numbers, B, C), A) & k1_limfunc2(k3_rfunct_1(k1_numbers, k1_numbers, B, C), A)=k7_xcmplx_0(k1_limfunc2(B, A), k1_limfunc2(C, A))) ) ) ) ) ) ) ) ) ).
fof(t52_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r4_limfunc2(C, B) =>  (r4_limfunc2(k26_valued_1(k1_numbers, k1_numbers, C, A), B) & k2_limfunc2(k26_valued_1(k1_numbers, k1_numbers, C, A), B)=k3_xcmplx_0(A, k2_limfunc2(C, B))) ) ) ) ) ) ) ) ).
fof(t53_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r4_limfunc2(B, A) =>  (r4_limfunc2(k32_valued_1(k1_numbers, k1_numbers, B), A) & k2_limfunc2(k32_valued_1(k1_numbers, k1_numbers, B), A)=k4_xcmplx_0(k2_limfunc2(B, A))) ) ) ) ) ) ).
fof(t54_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r4_limfunc2(B, A) &  (r4_limfunc2(C, A) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(D, E))  &  ( ~ (r1_xxreal_0(E, A))  & r2_hidden(E, k1_relset_1(k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  =>  (r4_limfunc2(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A) & k2_limfunc2(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A)=k2_xcmplx_0(k2_limfunc2(B, A), k2_limfunc2(C, A))) ) ) ) ) ) ) ) ).
fof(t55_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r4_limfunc2(B, A) &  (r4_limfunc2(C, A) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(D, E))  &  ( ~ (r1_xxreal_0(E, A))  & r2_hidden(E, k1_relset_1(k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  =>  (r4_limfunc2(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A) & k2_limfunc2(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A)=k6_xcmplx_0(k2_limfunc2(B, A), k2_limfunc2(C, A))) ) ) ) ) ) ) ) ).
fof(t56_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r4_limfunc2(B, A) & k8_relset_1(k1_numbers, k1_numbers, B, k1_tarski(k5_numbers))=k1_xboole_0)  =>  (k2_limfunc2(B, A)=k5_numbers |  (r4_limfunc2(k6_rfunct_1(k1_numbers, k1_numbers, B), A) & k2_limfunc2(k6_rfunct_1(k1_numbers, k1_numbers, B), A)=k5_xcmplx_0(k2_limfunc2(B, A))) ) ) ) ) ) ) ).
fof(t57_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r4_limfunc2(B, A) =>  (r4_limfunc2(k56_valued_1(k1_numbers, k1_numbers, B), A) & k2_limfunc2(k56_valued_1(k1_numbers, k1_numbers, B), A)=k9_complex1(k2_limfunc2(B, A))) ) ) ) ) ) ).
fof(t58_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r4_limfunc2(B, A) &  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, A))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(C, D))  &  ( ~ (r1_xxreal_0(D, A))  &  (r2_hidden(D, k1_relset_1(k1_numbers, B)) &  ~ (k1_funct_1(B, D)=k5_numbers) ) ) ) ) ) ) ) ) ) ) )  =>  (k2_limfunc2(B, A)=k5_numbers |  (r4_limfunc2(k6_rfunct_1(k1_numbers, k1_numbers, B), A) & k2_limfunc2(k6_rfunct_1(k1_numbers, k1_numbers, B), A)=k5_xcmplx_0(k2_limfunc2(B, A))) ) ) ) ) ) ) ).
fof(t59_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r4_limfunc2(B, A) &  (r4_limfunc2(C, A) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(D, E))  &  ( ~ (r1_xxreal_0(E, A))  & r2_hidden(E, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  =>  (r4_limfunc2(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A) & k2_limfunc2(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A)=k3_xcmplx_0(k2_limfunc2(B, A), k2_limfunc2(C, A))) ) ) ) ) ) ) ) ).
fof(t60_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r4_limfunc2(B, A) &  (r4_limfunc2(C, A) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(D, E))  &  ( ~ (r1_xxreal_0(E, A))  & r2_hidden(E, k1_relset_1(k1_numbers, k3_rfunct_1(k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  =>  (k2_limfunc2(C, A)=k5_numbers |  (r4_limfunc2(k3_rfunct_1(k1_numbers, k1_numbers, B, C), A) & k2_limfunc2(k3_rfunct_1(k1_numbers, k1_numbers, B, C), A)=k7_xcmplx_0(k2_limfunc2(B, A), k2_limfunc2(C, A))) ) ) ) ) ) ) ) ) ).
fof(t61_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc2(B, A) &  (k1_limfunc2(B, A)=k5_numbers &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, D))  &  ( ~ (r1_xxreal_0(A, E))  & r2_hidden(E, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  & v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, C, k2_rcomp_1(k6_xcmplx_0(A, D), A)))) ) ) )  |  (r1_limfunc2(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A) & k1_limfunc2(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A)=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(t62_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r4_limfunc2(B, A) &  (k2_limfunc2(B, A)=k5_numbers &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(D, E))  &  ( ~ (r1_xxreal_0(E, A))  & r2_hidden(E, k1_relset_1(k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  & v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, C, k2_rcomp_1(A, k2_xcmplx_0(A, D))))) ) ) )  |  (r4_limfunc2(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A) & k2_limfunc2(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A)=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(t63_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc2(C, A) &  (r1_limfunc2(D, A) &  (k1_limfunc2(C, A)=k1_limfunc2(D, A) &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(A, E))  &  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  &  ( ~ (r1_xxreal_0(A, F))  & r2_hidden(F, k1_relset_1(k1_numbers, B))) ) ) ) ) ) ) ) ) ) ) )  =>  ( (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(k6_xcmplx_0(A, E), A))) =>  (r1_xxreal_0(k1_funct_1(C, F), k1_funct_1(B, F)) & r1_xxreal_0(k1_funct_1(B, F), k1_funct_1(D, F))) ) ) )  &  ( (r1_tarski(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, C), k2_rcomp_1(k6_xcmplx_0(A, E), A)), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, D), k2_rcomp_1(k6_xcmplx_0(A, E), A))) & r1_tarski(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(k6_xcmplx_0(A, E), A)), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, C), k2_rcomp_1(k6_xcmplx_0(A, E), A))))  |  (r1_tarski(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, D), k2_rcomp_1(k6_xcmplx_0(A, E), A)), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, C), k2_rcomp_1(k6_xcmplx_0(A, E), A))) & r1_tarski(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(k6_xcmplx_0(A, E), A)), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, D), k2_rcomp_1(k6_xcmplx_0(A, E), A)))) ) ) ) ) ) )  |  (r1_limfunc2(B, A) & k1_limfunc2(B, A)=k1_limfunc2(C, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc2(C, A) &  (r1_limfunc2(D, A) & k1_limfunc2(C, A)=k1_limfunc2(D, A)) )  =>  ( (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  (r1_tarski(k2_rcomp_1(k6_xcmplx_0(A, E), A), k9_subset_1(k1_numbers, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, C), k1_relset_1(k1_numbers, D)), k1_relset_1(k1_numbers, B))) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, k2_rcomp_1(k6_xcmplx_0(A, E), A)) =>  (r1_xxreal_0(k1_funct_1(C, F), k1_funct_1(B, F)) & r1_xxreal_0(k1_funct_1(B, F), k1_funct_1(D, F))) ) ) ) ) ) ) ) )  |  (r1_limfunc2(B, A) & k1_limfunc2(B, A)=k1_limfunc2(C, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r4_limfunc2(C, A) &  (r4_limfunc2(D, A) &  (k2_limfunc2(C, A)=k2_limfunc2(D, A) &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, A))  &  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(E, F))  &  ( ~ (r1_xxreal_0(F, A))  & r2_hidden(F, k1_relset_1(k1_numbers, B))) ) ) ) ) ) ) ) ) ) ) )  =>  ( (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(A, k2_xcmplx_0(A, E)))) =>  (r1_xxreal_0(k1_funct_1(C, F), k1_funct_1(B, F)) & r1_xxreal_0(k1_funct_1(B, F), k1_funct_1(D, F))) ) ) )  &  ( (r1_tarski(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, C), k2_rcomp_1(A, k2_xcmplx_0(A, E))), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, D), k2_rcomp_1(A, k2_xcmplx_0(A, E)))) & r1_tarski(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(A, k2_xcmplx_0(A, E))), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, C), k2_rcomp_1(A, k2_xcmplx_0(A, E)))))  |  (r1_tarski(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, D), k2_rcomp_1(A, k2_xcmplx_0(A, E))), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, C), k2_rcomp_1(A, k2_xcmplx_0(A, E)))) & r1_tarski(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(A, k2_xcmplx_0(A, E))), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, D), k2_rcomp_1(A, k2_xcmplx_0(A, E))))) ) ) ) ) ) )  |  (r4_limfunc2(B, A) & k2_limfunc2(B, A)=k2_limfunc2(C, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r4_limfunc2(C, A) &  (r4_limfunc2(D, A) & k2_limfunc2(C, A)=k2_limfunc2(D, A)) )  =>  ( (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  (r1_tarski(k2_rcomp_1(A, k2_xcmplx_0(A, E)), k9_subset_1(k1_numbers, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, C), k1_relset_1(k1_numbers, D)), k1_relset_1(k1_numbers, B))) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, k2_rcomp_1(A, k2_xcmplx_0(A, E))) =>  (r1_xxreal_0(k1_funct_1(C, F), k1_funct_1(B, F)) & r1_xxreal_0(k1_funct_1(B, F), k1_funct_1(D, F))) ) ) ) ) ) ) ) )  |  (r4_limfunc2(B, A) & k2_limfunc2(B, A)=k2_limfunc2(C, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc2(B, A) & r1_limfunc2(C, A))  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  ( (r1_tarski(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(k6_xcmplx_0(A, D), A)), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, C), k2_rcomp_1(k6_xcmplx_0(A, D), A))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(k6_xcmplx_0(A, D), A))) => r1_xxreal_0(k1_funct_1(B, E), k1_funct_1(C, E))) ) ) )  |  (r1_tarski(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, C), k2_rcomp_1(k6_xcmplx_0(A, D), A)), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(k6_xcmplx_0(A, D), A))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, C), k2_rcomp_1(k6_xcmplx_0(A, D), A))) => r1_xxreal_0(k1_funct_1(B, E), k1_funct_1(C, E))) ) ) ) ) ) ) ) )  | r1_xxreal_0(k1_limfunc2(B, A), k1_limfunc2(C, A))) ) ) ) ) ) ) ) ).
fof(t68_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r4_limfunc2(B, A) & r4_limfunc2(C, A))  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  ( (r1_tarski(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(A, k2_xcmplx_0(A, D))), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, C), k2_rcomp_1(A, k2_xcmplx_0(A, D)))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(A, k2_xcmplx_0(A, D)))) => r1_xxreal_0(k1_funct_1(B, E), k1_funct_1(C, E))) ) ) )  |  (r1_tarski(k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, C), k2_rcomp_1(A, k2_xcmplx_0(A, D))), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(A, k2_xcmplx_0(A, D)))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, C), k2_rcomp_1(A, k2_xcmplx_0(A, D)))) => r1_xxreal_0(k1_funct_1(B, E), k1_funct_1(C, E))) ) ) ) ) ) ) ) )  | r1_xxreal_0(k2_limfunc2(B, A), k2_limfunc2(C, A))) ) ) ) ) ) ) ) ).
fof(t69_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(A, C))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, C))  &  ( ~ (r1_xxreal_0(A, D))  &  (r2_hidden(D, k1_relset_1(k1_numbers, B)) &  ~ (k1_funct_1(B, D)=k5_numbers) ) ) ) ) ) ) ) ) ) )  =>  ( ( ~ (r2_limfunc2(B, A))  &  ~ (r3_limfunc2(B, A)) )  |  (r1_limfunc2(k6_rfunct_1(k1_numbers, k1_numbers, B), A) & k1_limfunc2(k6_rfunct_1(k1_numbers, k1_numbers, B), A)=k5_numbers) ) ) ) ) ) ) ).
fof(t70_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, A))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(C, D))  &  ( ~ (r1_xxreal_0(D, A))  &  (r2_hidden(D, k1_relset_1(k1_numbers, B)) &  ~ (k1_funct_1(B, D)=k5_numbers) ) ) ) ) ) ) ) ) ) )  =>  ( ( ~ (r5_limfunc2(B, A))  &  ~ (r6_limfunc2(B, A)) )  |  (r4_limfunc2(k6_rfunct_1(k1_numbers, k1_numbers, B), A) & k2_limfunc2(k6_rfunct_1(k1_numbers, k1_numbers, B), A)=k5_numbers) ) ) ) ) ) ) ).
fof(t71_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc2(B, A) & k1_limfunc2(B, A)=k5_numbers)  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( (r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(k6_xcmplx_0(A, C), A))) & r1_xxreal_0(k1_funct_1(B, D), k5_numbers)) ) ) ) ) ) ) )  | r2_limfunc2(k6_rfunct_1(k1_numbers, k1_numbers, B), A)) ) ) ) ) ) ).
fof(t72_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc2(B, A) & k1_limfunc2(B, A)=k5_numbers)  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( (r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(k6_xcmplx_0(A, C), A))) & r1_xxreal_0(k5_numbers, k1_funct_1(B, D))) ) ) ) ) ) ) )  | r3_limfunc2(k6_rfunct_1(k1_numbers, k1_numbers, B), A)) ) ) ) ) ) ).
fof(t73_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r4_limfunc2(B, A) & k2_limfunc2(B, A)=k5_numbers)  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( (r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(A, k2_xcmplx_0(A, C)))) & r1_xxreal_0(k1_funct_1(B, D), k5_numbers)) ) ) ) ) ) ) )  | r5_limfunc2(k6_rfunct_1(k1_numbers, k1_numbers, B), A)) ) ) ) ) ) ).
fof(t74_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r4_limfunc2(B, A) & k2_limfunc2(B, A)=k5_numbers)  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( (r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(A, k2_xcmplx_0(A, C)))) & r1_xxreal_0(k5_numbers, k1_funct_1(B, D))) ) ) ) ) ) ) )  | r6_limfunc2(k6_rfunct_1(k1_numbers, k1_numbers, B), A)) ) ) ) ) ) ).
fof(t75_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc2(B, A) &  (k1_limfunc2(B, A)=k5_numbers &  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(A, C))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, C))  &  ( ~ (r1_xxreal_0(A, D))  &  (r2_hidden(D, k1_relset_1(k1_numbers, B)) &  ~ (k1_funct_1(B, D)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(k6_xcmplx_0(A, C), A))) => r1_xxreal_0(k5_numbers, k1_funct_1(B, D))) ) ) ) ) ) )  | r2_limfunc2(k6_rfunct_1(k1_numbers, k1_numbers, B), A)) ) ) ) ) ) ).
fof(t76_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc2(B, A) &  (k1_limfunc2(B, A)=k5_numbers &  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(A, C))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, C))  &  ( ~ (r1_xxreal_0(A, D))  &  (r2_hidden(D, k1_relset_1(k1_numbers, B)) &  ~ (k1_funct_1(B, D)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(k6_xcmplx_0(A, C), A))) => r1_xxreal_0(k1_funct_1(B, D), k5_numbers)) ) ) ) ) ) )  | r3_limfunc2(k6_rfunct_1(k1_numbers, k1_numbers, B), A)) ) ) ) ) ) ).
fof(t77_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r4_limfunc2(B, A) &  (k2_limfunc2(B, A)=k5_numbers &  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, A))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(C, D))  &  ( ~ (r1_xxreal_0(D, A))  &  (r2_hidden(D, k1_relset_1(k1_numbers, B)) &  ~ (k1_funct_1(B, D)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(A, k2_xcmplx_0(A, C)))) => r1_xxreal_0(k5_numbers, k1_funct_1(B, D))) ) ) ) ) ) )  | r5_limfunc2(k6_rfunct_1(k1_numbers, k1_numbers, B), A)) ) ) ) ) ) ).
fof(t78_limfunc2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r4_limfunc2(B, A) &  (k2_limfunc2(B, A)=k5_numbers &  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, A))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(C, D))  &  ( ~ (r1_xxreal_0(D, A))  &  (r2_hidden(D, k1_relset_1(k1_numbers, B)) &  ~ (k1_funct_1(B, D)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(A, k2_xcmplx_0(A, C)))) => r1_xxreal_0(k1_funct_1(B, D), k5_numbers)) ) ) ) ) ) )  | r6_limfunc2(k6_rfunct_1(k1_numbers, k1_numbers, B), A)) ) ) ) ) ) ).
fof(dt_k1_limfunc2, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  & v1_xreal_0(B))  => v1_xreal_0(k1_limfunc2(A, B))) ) ).
fof(dt_k2_limfunc2, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  & v1_xreal_0(B))  => v1_xreal_0(k2_limfunc2(A, B))) ) ).
fof(t1_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(k10_xtuple_0(B), k9_subset_1(k1_numbers, k9_xtuple_0(C), k10_prob_1(A))) | r1_tarski(k10_xtuple_0(B), k9_subset_1(k1_numbers, k9_xtuple_0(C), k3_limfunc1(A))))  => r1_tarski(k10_xtuple_0(B), k6_subset_1(k9_xtuple_0(C), k1_tarski(A)))) ) ) ) ) ) ) ).
fof(t2_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( ~ (r1_xxreal_0(k9_complex1(k6_xcmplx_0(A, k3_funct_2(k4_ordinal1, k1_numbers, B, D))), k5_numbers))  &  ( ~ (r1_xxreal_0(k7_xcmplx_0(1, k1_nat_1(D, 1)), k9_complex1(k6_xcmplx_0(A, k3_funct_2(k4_ordinal1, k1_numbers, B, D)))))  & r2_tarski(k3_funct_2(k4_ordinal1, k1_numbers, B, D), k9_xtuple_0(C))) ) ) )  =>  (v2_comseq_2(B) &  (k1_seq_2(B)=A &  (r1_tarski(k10_xtuple_0(B), k9_xtuple_0(C)) & r1_tarski(k10_xtuple_0(B), k6_subset_1(k9_xtuple_0(C), k1_tarski(A)))) ) ) ) ) ) ) ) ) ) ).
fof(t3_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v2_comseq_2(B) &  (k1_seq_2(B)=A & r1_tarski(k10_xtuple_0(B), k6_subset_1(k9_xtuple_0(C), k1_tarski(A)))) )  =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (? [F] :  (m1_subset_1(F, k4_ordinal1) &  (r1_xxreal_0(E, F) &  ~ ( ( ~ (r1_xxreal_0(k9_complex1(k6_xcmplx_0(A, k3_funct_2(k4_ordinal1, k1_numbers, B, F))), k5_numbers))  &  ( ~ (r1_xxreal_0(D, k9_complex1(k6_xcmplx_0(A, k3_funct_2(k4_ordinal1, k1_numbers, B, F)))))  & r2_tarski(k3_funct_2(k4_ordinal1, k1_numbers, B, F), k9_xtuple_0(C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k7_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(B, A), k2_xcmplx_0(B, A)), k1_tarski(B))=k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(B, A), B), k2_rcomp_1(B, k2_xcmplx_0(B, A)))) ) ) ) ) ).
fof(t5_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_tarski(k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(B, A), B), k2_rcomp_1(B, k2_xcmplx_0(B, A))), k9_xtuple_0(C)) =>  (r1_xxreal_0(A, k5_numbers) |  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(B, D))  &  ( ~ (r1_xxreal_0(E, B))  &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(F, D))  &  ( ~ (r1_xxreal_0(B, F))  &  (r2_hidden(F, k9_xtuple_0(C)) &  ( ~ (r1_xxreal_0(E, G))  &  ( ~ (r1_xxreal_0(G, B))  & r2_hidden(G, k9_xtuple_0(C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( ~ (r1_xxreal_0(k3_funct_2(k4_ordinal1, k1_numbers, B, D), k6_xcmplx_0(A, k7_xcmplx_0(1, k1_nat_1(D, 1)))))  &  ( ~ (r1_xxreal_0(A, k3_funct_2(k4_ordinal1, k1_numbers, B, D)))  & r2_tarski(k3_funct_2(k4_ordinal1, k1_numbers, B, D), k9_xtuple_0(C))) ) ) )  =>  (v2_comseq_2(B) &  (k1_seq_2(B)=A & r1_tarski(k10_xtuple_0(B), k6_subset_1(k9_xtuple_0(C), k1_tarski(A)))) ) ) ) ) ) ) ) ) ).
fof(t7_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( (v2_comseq_2(C) &  (k1_seq_2(C)=B &  ( ~ (r1_xxreal_0(A, k5_numbers))  &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (? [E] :  (m1_subset_1(E, k4_ordinal1) &  (r1_xxreal_0(D, E) &  ~ ( ( ~ (r1_xxreal_0(k3_funct_2(k4_ordinal1, k1_numbers, C, E), k6_xcmplx_0(B, A)))  &  ~ (r1_xxreal_0(k2_xcmplx_0(B, A), k3_funct_2(k4_ordinal1, k1_numbers, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, C))  &  ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(E, C))  &  ( ~ (r1_xxreal_0(A, E))  &  (r2_hidden(E, k9_xtuple_0(B)) &  ( ~ (r1_xxreal_0(D, F))  &  ( ~ (r1_xxreal_0(F, A))  & r2_hidden(F, k9_xtuple_0(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  <=>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(A, C))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, C))  &  ( ~ (r1_xxreal_0(A, D))  & r2_hidden(D, k9_xtuple_0(B))) ) ) ) ) ) ) ) )  &  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, A))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(C, D))  &  ( ~ (r1_xxreal_0(D, A))  & r2_hidden(D, k9_xtuple_0(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_limfunc3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (r1_limfunc3(A, B) <=>  ( (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(B, C))  &  ( ~ (r1_xxreal_0(D, B))  &  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(E, C))  &  ( ~ (r1_xxreal_0(B, E))  &  (r2_hidden(E, k9_xtuple_0(A)) &  ( ~ (r1_xxreal_0(D, F))  &  ( ~ (r1_xxreal_0(F, B))  & r2_hidden(F, k9_xtuple_0(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (? [C] :  (v1_xreal_0(C) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_comseq_2(D) &  (k1_seq_2(D)=B & r1_tarski(k10_xtuple_0(D), k6_subset_1(k9_xtuple_0(A), k1_tarski(B)))) )  =>  (v2_comseq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, D, A)) & k1_seq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, D, A))=C) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_limfunc3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (r2_limfunc3(A, B) <=>  ( (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(B, C))  &  ( ~ (r1_xxreal_0(D, B))  &  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(E, C))  &  ( ~ (r1_xxreal_0(B, E))  &  (r2_hidden(E, k9_xtuple_0(A)) &  ( ~ (r1_xxreal_0(D, F))  &  ( ~ (r1_xxreal_0(F, B))  & r2_hidden(F, k9_xtuple_0(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_comseq_2(C) &  (k1_seq_2(C)=B & r1_tarski(k10_xtuple_0(C), k6_subset_1(k9_xtuple_0(A), k1_tarski(B)))) )  => v1_limfunc1(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, C, A))) ) ) ) ) ) ) ) ) ).
fof(d3_limfunc3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (r3_limfunc3(A, B) <=>  ( (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(B, C))  &  ( ~ (r1_xxreal_0(D, B))  &  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(E, C))  &  ( ~ (r1_xxreal_0(B, E))  &  (r2_hidden(E, k9_xtuple_0(A)) &  ( ~ (r1_xxreal_0(D, F))  &  ( ~ (r1_xxreal_0(F, B))  & r2_hidden(F, k9_xtuple_0(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_comseq_2(C) &  (k1_seq_2(C)=B & r1_tarski(k10_xtuple_0(C), k6_subset_1(k9_xtuple_0(A), k1_tarski(B)))) )  => v2_limfunc1(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, C, A))) ) ) ) ) ) ) ) ) ).
fof(t9_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_limfunc3(B, A) <=>  ( (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, C))  &  ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(E, C))  &  ( ~ (r1_xxreal_0(A, E))  &  (r2_hidden(E, k9_xtuple_0(B)) &  ( ~ (r1_xxreal_0(D, F))  &  ( ~ (r1_xxreal_0(F, A))  & r2_hidden(F, k9_xtuple_0(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (? [C] :  (v1_xreal_0(C) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(k9_complex1(k6_xcmplx_0(A, F)), k5_numbers))  &  ( ~ (r1_xxreal_0(E, k9_complex1(k6_xcmplx_0(A, F))))  &  (r2_hidden(F, k9_xtuple_0(B)) & r1_xxreal_0(D, k9_complex1(k6_xcmplx_0(k1_funct_1(B, F), C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r2_limfunc3(B, A) <=>  ( (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, C))  &  ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(E, C))  &  ( ~ (r1_xxreal_0(A, E))  &  (r2_hidden(E, k9_xtuple_0(B)) &  ( ~ (r1_xxreal_0(D, F))  &  ( ~ (r1_xxreal_0(F, A))  & r2_hidden(F, k9_xtuple_0(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(k9_complex1(k6_xcmplx_0(A, E)), k5_numbers))  &  ( ~ (r1_xxreal_0(D, k9_complex1(k6_xcmplx_0(A, E))))  &  (r2_hidden(E, k9_xtuple_0(B)) & r1_xxreal_0(k1_funct_1(B, E), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r3_limfunc3(B, A) <=>  ( (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, C))  &  ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(E, C))  &  ( ~ (r1_xxreal_0(A, E))  &  (r2_hidden(E, k9_xtuple_0(B)) &  ( ~ (r1_xxreal_0(D, F))  &  ( ~ (r1_xxreal_0(F, A))  & r2_hidden(F, k9_xtuple_0(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(k9_complex1(k6_xcmplx_0(A, E)), k5_numbers))  &  ( ~ (r1_xxreal_0(D, k9_complex1(k6_xcmplx_0(A, E))))  &  (r2_hidden(E, k9_xtuple_0(B)) & r1_xxreal_0(C, k1_funct_1(B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r2_limfunc3(B, A) <=>  (r2_limfunc2(B, A) & r5_limfunc2(B, A)) ) ) ) ) ) ).
fof(t13_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r3_limfunc3(B, A) <=>  (r3_limfunc2(B, A) & r6_limfunc2(B, A)) ) ) ) ) ) ).
fof(t14_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_limfunc3(B, A) &  (r2_limfunc3(C, A) &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  ( ~ (r1_xxreal_0(E, A))  &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(F, D))  &  ( ~ (r1_xxreal_0(A, F))  &  (r2_hidden(F, k3_xboole_0(k9_xtuple_0(B), k9_xtuple_0(C))) &  ( ~ (r1_xxreal_0(E, G))  &  ( ~ (r1_xxreal_0(G, A))  & r2_hidden(G, k3_xboole_0(k9_xtuple_0(B), k9_xtuple_0(C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (r2_limfunc3(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A) & r2_limfunc3(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ) ).
fof(t15_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r3_limfunc3(B, A) &  (r3_limfunc3(C, A) &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  ( ~ (r1_xxreal_0(E, A))  &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(F, D))  &  ( ~ (r1_xxreal_0(A, F))  &  (r2_hidden(F, k3_xboole_0(k9_xtuple_0(B), k9_xtuple_0(C))) &  ( ~ (r1_xxreal_0(E, G))  &  ( ~ (r1_xxreal_0(G, A))  & r2_hidden(G, k3_xboole_0(k9_xtuple_0(B), k9_xtuple_0(C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (r3_limfunc3(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A) & r2_limfunc3(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ) ).
fof(t16_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_limfunc3(B, A) &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  ( ~ (r1_xxreal_0(E, A))  &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(F, D))  &  ( ~ (r1_xxreal_0(A, F))  &  (r2_hidden(F, k9_xtuple_0(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C))) &  ( ~ (r1_xxreal_0(E, G))  &  ( ~ (r1_xxreal_0(G, A))  & r2_hidden(G, k9_xtuple_0(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  & v2_seq_2(k2_partfun1(k1_numbers, k1_numbers, C, k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, D), A), k2_rcomp_1(A, k2_xcmplx_0(A, D)))))) ) ) )  | r2_limfunc3(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ) ).
fof(t17_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_limfunc3(B, A) &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  ( ~ (r1_xxreal_0(E, A))  &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(F, D))  &  ( ~ (r1_xxreal_0(A, F))  &  (r2_hidden(F, k9_xtuple_0(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C))) &  ( ~ (r1_xxreal_0(E, G))  &  ( ~ (r1_xxreal_0(G, A))  & r2_hidden(G, k9_xtuple_0(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, k9_subset_1(k1_numbers, k9_xtuple_0(C), k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, D), A), k2_rcomp_1(A, k2_xcmplx_0(A, D))))) => r1_xxreal_0(E, k1_funct_1(C, F))) ) ) ) ) ) ) ) ) )  | r2_limfunc3(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ) ).
fof(t18_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_limfunc3(C, B) =>  (r1_xxreal_0(A, k5_numbers) | r2_limfunc3(k26_valued_1(k1_numbers, k1_numbers, C, A), B)) )  &  ( (r2_limfunc3(C, B) =>  (r1_xxreal_0(k5_numbers, A) | r3_limfunc3(k26_valued_1(k1_numbers, k1_numbers, C, A), B)) )  &  ( (r3_limfunc3(C, B) =>  (r1_xxreal_0(A, k5_numbers) | r3_limfunc3(k26_valued_1(k1_numbers, k1_numbers, C, A), B)) )  &  (r3_limfunc3(C, B) =>  (r1_xxreal_0(k5_numbers, A) | r2_limfunc3(k26_valued_1(k1_numbers, k1_numbers, C, A), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_limfunc3(B, A) | r3_limfunc3(B, A))  => r2_limfunc3(k56_valued_1(k1_numbers, k1_numbers, B), A)) ) ) ) ) ).
fof(t20_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, C))  &  ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(E, C))  &  ( ~ (r1_xxreal_0(A, E))  &  (r2_hidden(E, k9_xtuple_0(B)) &  ( ~ (r1_xxreal_0(D, F))  &  ( ~ (r1_xxreal_0(F, A))  & r2_hidden(F, k9_xtuple_0(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( (v7_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k2_rcomp_1(k6_xcmplx_0(A, C), A))) &  (v8_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k2_rcomp_1(A, k2_xcmplx_0(A, C)))) &  ( ~ (v1_seq_2(k2_partfun1(k1_numbers, k1_numbers, B, k2_rcomp_1(k6_xcmplx_0(A, C), A))))  &  ~ (v1_seq_2(k2_partfun1(k1_numbers, k1_numbers, B, k2_rcomp_1(A, k2_xcmplx_0(A, C))))) ) ) ) ) ) )  | r2_limfunc3(B, A)) ) ) ) ) ) ).
fof(t21_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, C))  &  ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(E, C))  &  ( ~ (r1_xxreal_0(A, E))  &  (r2_hidden(E, k9_xtuple_0(B)) &  ( ~ (r1_xxreal_0(D, F))  &  ( ~ (r1_xxreal_0(F, A))  & r2_hidden(F, k9_xtuple_0(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k2_rcomp_1(k6_xcmplx_0(A, C), A))) &  (v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k2_rcomp_1(A, k2_xcmplx_0(A, C)))) &  ( ~ (v1_seq_2(k2_partfun1(k1_numbers, k1_numbers, B, k2_rcomp_1(k6_xcmplx_0(A, C), A))))  &  ~ (v1_seq_2(k2_partfun1(k1_numbers, k1_numbers, B, k2_rcomp_1(A, k2_xcmplx_0(A, C))))) ) ) ) ) ) ) )  | r2_limfunc3(B, A)) ) ) ) ) ) ).
fof(t22_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, C))  &  ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(E, C))  &  ( ~ (r1_xxreal_0(A, E))  &  (r2_hidden(E, k9_xtuple_0(B)) &  ( ~ (r1_xxreal_0(D, F))  &  ( ~ (r1_xxreal_0(F, A))  & r2_hidden(F, k9_xtuple_0(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( (v8_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k2_rcomp_1(k6_xcmplx_0(A, C), A))) &  (v7_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k2_rcomp_1(A, k2_xcmplx_0(A, C)))) &  ( ~ (v2_seq_2(k2_partfun1(k1_numbers, k1_numbers, B, k2_rcomp_1(k6_xcmplx_0(A, C), A))))  &  ~ (v2_seq_2(k2_partfun1(k1_numbers, k1_numbers, B, k2_rcomp_1(A, k2_xcmplx_0(A, C))))) ) ) ) ) ) )  | r3_limfunc3(B, A)) ) ) ) ) ) ).
fof(t23_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, C))  &  ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(E, C))  &  ( ~ (r1_xxreal_0(A, E))  &  (r2_hidden(E, k9_xtuple_0(B)) &  ( ~ (r1_xxreal_0(D, F))  &  ( ~ (r1_xxreal_0(F, A))  & r2_hidden(F, k9_xtuple_0(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k2_rcomp_1(k6_xcmplx_0(A, C), A))) &  (v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k2_rcomp_1(A, k2_xcmplx_0(A, C)))) &  ( ~ (v2_seq_2(k2_partfun1(k1_numbers, k1_numbers, B, k2_rcomp_1(k6_xcmplx_0(A, C), A))))  &  ~ (v2_seq_2(k2_partfun1(k1_numbers, k1_numbers, B, k2_rcomp_1(A, k2_xcmplx_0(A, C))))) ) ) ) ) ) ) )  | r3_limfunc3(B, A)) ) ) ) ) ) ).
fof(t24_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_limfunc3(C, A) &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  ( ~ (r1_xxreal_0(E, A))  &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(F, D))  &  ( ~ (r1_xxreal_0(A, F))  &  (r2_hidden(F, k9_xtuple_0(B)) &  ( ~ (r1_xxreal_0(E, G))  &  ( ~ (r1_xxreal_0(G, A))  & r2_hidden(G, k9_xtuple_0(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (r1_tarski(k9_subset_1(k1_numbers, k9_xtuple_0(B), k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, D), A), k2_rcomp_1(A, k2_xcmplx_0(A, D)))), k9_subset_1(k1_numbers, k9_xtuple_0(C), k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, D), A), k2_rcomp_1(A, k2_xcmplx_0(A, D))))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k9_subset_1(k1_numbers, k9_xtuple_0(B), k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, D), A), k2_rcomp_1(A, k2_xcmplx_0(A, D))))) => r1_xxreal_0(k1_funct_1(C, E), k1_funct_1(B, E))) ) ) ) ) ) ) )  | r2_limfunc3(B, A)) ) ) ) ) ) ) ) ).
fof(t25_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r3_limfunc3(C, A) &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  ( ~ (r1_xxreal_0(E, A))  &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(F, D))  &  ( ~ (r1_xxreal_0(A, F))  &  (r2_hidden(F, k9_xtuple_0(B)) &  ( ~ (r1_xxreal_0(E, G))  &  ( ~ (r1_xxreal_0(G, A))  & r2_hidden(G, k9_xtuple_0(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (r1_tarski(k9_subset_1(k1_numbers, k9_xtuple_0(B), k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, D), A), k2_rcomp_1(A, k2_xcmplx_0(A, D)))), k9_subset_1(k1_numbers, k9_xtuple_0(C), k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, D), A), k2_rcomp_1(A, k2_xcmplx_0(A, D))))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k9_subset_1(k1_numbers, k9_xtuple_0(B), k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, D), A), k2_rcomp_1(A, k2_xcmplx_0(A, D))))) => r1_xxreal_0(k1_funct_1(B, E), k1_funct_1(C, E))) ) ) ) ) ) ) )  | r3_limfunc3(B, A)) ) ) ) ) ) ) ) ).
fof(t26_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r2_limfunc3(C, A) =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (r1_tarski(k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, D), A), k2_rcomp_1(A, k2_xcmplx_0(A, D))), k3_xboole_0(k9_xtuple_0(B), k9_xtuple_0(C))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, D), A), k2_rcomp_1(A, k2_xcmplx_0(A, D)))) => r1_xxreal_0(k1_funct_1(C, E), k1_funct_1(B, E))) ) ) ) ) ) ) )  | r2_limfunc3(B, A)) ) ) ) ) ) ) ) ).
fof(t27_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r3_limfunc3(C, A) =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (r1_tarski(k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, D), A), k2_rcomp_1(A, k2_xcmplx_0(A, D))), k3_xboole_0(k9_xtuple_0(B), k9_xtuple_0(C))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, D), A), k2_rcomp_1(A, k2_xcmplx_0(A, D)))) => r1_xxreal_0(k1_funct_1(B, E), k1_funct_1(C, E))) ) ) ) ) ) ) )  | r3_limfunc3(B, A)) ) ) ) ) ) ) ) ).
fof(d4_limfunc3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (r1_limfunc3(A, B) =>  (! [C] :  (v1_xreal_0(C) =>  (C=k1_limfunc3(A, B) <=>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_comseq_2(D) &  (k1_seq_2(D)=B & r1_tarski(k10_xtuple_0(D), k6_subset_1(k9_xtuple_0(A), k1_tarski(B)))) )  =>  (v2_comseq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, D, A)) & k1_seq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, D, A))=C) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_limfunc3(C, B) =>  (k1_limfunc3(C, B)=A <=>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(k9_complex1(k6_xcmplx_0(B, F)), k5_numbers))  &  ( ~ (r1_xxreal_0(E, k9_complex1(k6_xcmplx_0(B, F))))  &  (r2_hidden(F, k9_xtuple_0(C)) & r1_xxreal_0(D, k9_complex1(k6_xcmplx_0(k1_funct_1(C, F), A)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_limfunc3(B, A) =>  (r1_limfunc2(B, A) &  (r4_limfunc2(B, A) &  (k1_limfunc2(B, A)=k2_limfunc2(B, A) &  (k1_limfunc3(B, A)=k1_limfunc2(B, A) & k1_limfunc3(B, A)=k2_limfunc2(B, A)) ) ) ) ) ) ) ) ) ).
fof(t30_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc2(B, A) &  (r4_limfunc2(B, A) & k1_limfunc2(B, A)=k2_limfunc2(B, A)) )  =>  (r1_limfunc3(B, A) &  (k1_limfunc3(B, A)=k1_limfunc2(B, A) & k1_limfunc3(B, A)=k2_limfunc2(B, A)) ) ) ) ) ) ) ).
fof(t31_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_limfunc3(C, B) =>  (r1_limfunc3(k26_valued_1(k1_numbers, k1_numbers, C, A), B) & k1_limfunc3(k26_valued_1(k1_numbers, k1_numbers, C, A), B)=k3_xcmplx_0(A, k1_limfunc3(C, B))) ) ) ) ) ) ) ) ).
fof(t32_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_limfunc3(B, A) =>  (r1_limfunc3(k32_valued_1(k1_numbers, k1_numbers, B), A) & k1_limfunc3(k32_valued_1(k1_numbers, k1_numbers, B), A)=k4_xcmplx_0(k1_limfunc3(B, A))) ) ) ) ) ) ).
fof(t33_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc3(B, A) &  (r1_limfunc3(C, A) &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  ( ~ (r1_xxreal_0(E, A))  &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(F, D))  &  ( ~ (r1_xxreal_0(A, F))  &  (r2_hidden(F, k9_xtuple_0(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C))) &  ( ~ (r1_xxreal_0(E, G))  &  ( ~ (r1_xxreal_0(G, A))  & r2_hidden(G, k9_xtuple_0(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (r1_limfunc3(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A) & k1_limfunc3(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A)=k2_xcmplx_0(k1_limfunc3(B, A), k1_limfunc3(C, A))) ) ) ) ) ) ) ) ).
fof(t34_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc3(B, A) &  (r1_limfunc3(C, A) &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  ( ~ (r1_xxreal_0(E, A))  &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(F, D))  &  ( ~ (r1_xxreal_0(A, F))  &  (r2_hidden(F, k9_xtuple_0(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C))) &  ( ~ (r1_xxreal_0(E, G))  &  ( ~ (r1_xxreal_0(G, A))  & r2_hidden(G, k9_xtuple_0(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (r1_limfunc3(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A) & k1_limfunc3(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A)=k6_xcmplx_0(k1_limfunc3(B, A), k1_limfunc3(C, A))) ) ) ) ) ) ) ) ).
fof(t35_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc3(B, A) & k8_relat_1(B, k1_tarski(k5_numbers))=k1_xboole_0)  =>  (k1_limfunc3(B, A)=k5_numbers |  (r1_limfunc3(k6_rfunct_1(k1_numbers, k1_numbers, B), A) & k1_limfunc3(k6_rfunct_1(k1_numbers, k1_numbers, B), A)=k5_xcmplx_0(k1_limfunc3(B, A))) ) ) ) ) ) ) ).
fof(t36_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_limfunc3(B, A) =>  (r1_limfunc3(k56_valued_1(k1_numbers, k1_numbers, B), A) & k1_limfunc3(k56_valued_1(k1_numbers, k1_numbers, B), A)=k9_complex1(k1_limfunc3(B, A))) ) ) ) ) ) ).
fof(t37_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc3(B, A) &  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, C))  &  ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(E, C))  &  ( ~ (r1_xxreal_0(A, E))  &  (r2_hidden(E, k9_xtuple_0(B)) &  ( ~ (r1_xxreal_0(D, F))  &  ( ~ (r1_xxreal_0(F, A))  &  (r2_hidden(F, k9_xtuple_0(B)) &  ( ~ (k1_funct_1(B, E)=k5_numbers)  &  ~ (k1_funct_1(B, F)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (k1_limfunc3(B, A)=k5_numbers |  (r1_limfunc3(k6_rfunct_1(k1_numbers, k1_numbers, B), A) & k1_limfunc3(k6_rfunct_1(k1_numbers, k1_numbers, B), A)=k5_xcmplx_0(k1_limfunc3(B, A))) ) ) ) ) ) ) ).
fof(t38_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc3(B, A) &  (r1_limfunc3(C, A) &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  ( ~ (r1_xxreal_0(E, A))  &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(F, D))  &  ( ~ (r1_xxreal_0(A, F))  &  (r2_hidden(F, k9_xtuple_0(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C))) &  ( ~ (r1_xxreal_0(E, G))  &  ( ~ (r1_xxreal_0(G, A))  & r2_hidden(G, k9_xtuple_0(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (r1_limfunc3(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A) & k1_limfunc3(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A)=k3_xcmplx_0(k1_limfunc3(B, A), k1_limfunc3(C, A))) ) ) ) ) ) ) ) ).
fof(t39_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc3(B, A) &  (r1_limfunc3(C, A) &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  ( ~ (r1_xxreal_0(E, A))  &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(F, D))  &  ( ~ (r1_xxreal_0(A, F))  &  (r2_hidden(F, k9_xtuple_0(k3_rfunct_1(k1_numbers, k1_numbers, B, C))) &  ( ~ (r1_xxreal_0(E, G))  &  ( ~ (r1_xxreal_0(G, A))  & r2_hidden(G, k9_xtuple_0(k3_rfunct_1(k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (k1_limfunc3(C, A)=k5_numbers |  (r1_limfunc3(k3_rfunct_1(k1_numbers, k1_numbers, B, C), A) & k1_limfunc3(k3_rfunct_1(k1_numbers, k1_numbers, B, C), A)=k7_xcmplx_0(k1_limfunc3(B, A), k1_limfunc3(C, A))) ) ) ) ) ) ) ) ) ).
fof(t40_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc3(B, A) &  (k1_limfunc3(B, A)=k5_numbers &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  ( ~ (r1_xxreal_0(E, A))  &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(F, D))  &  ( ~ (r1_xxreal_0(A, F))  &  (r2_hidden(F, k9_xtuple_0(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C))) &  ( ~ (r1_xxreal_0(E, G))  &  ( ~ (r1_xxreal_0(G, A))  & r2_hidden(G, k9_xtuple_0(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  & v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, C, k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, D), A), k2_rcomp_1(A, k2_xcmplx_0(A, D)))))) ) ) )  |  (r1_limfunc3(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A) & k1_limfunc3(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, C), A)=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(t41_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc3(C, A) &  (r1_limfunc3(D, A) &  (k1_limfunc3(C, A)=k1_limfunc3(D, A) &  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(A, E))  &  ( ~ (r1_xxreal_0(F, A))  &  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ~ ( ( ~ (r1_xxreal_0(G, E))  &  ( ~ (r1_xxreal_0(A, G))  &  (r2_hidden(G, k9_xtuple_0(B)) &  ( ~ (r1_xxreal_0(F, H))  &  ( ~ (r1_xxreal_0(H, A))  & r2_hidden(H, k9_xtuple_0(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, k9_subset_1(k1_numbers, k9_xtuple_0(B), k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, E), A), k2_rcomp_1(A, k2_xcmplx_0(A, E))))) =>  (r1_xxreal_0(k1_funct_1(C, F), k1_funct_1(B, F)) & r1_xxreal_0(k1_funct_1(B, F), k1_funct_1(D, F))) ) ) )  &  ( (r1_tarski(k9_subset_1(k1_numbers, k9_xtuple_0(C), k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, E), A), k2_rcomp_1(A, k2_xcmplx_0(A, E)))), k9_subset_1(k1_numbers, k9_xtuple_0(D), k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, E), A), k2_rcomp_1(A, k2_xcmplx_0(A, E))))) & r1_tarski(k9_subset_1(k1_numbers, k9_xtuple_0(B), k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, E), A), k2_rcomp_1(A, k2_xcmplx_0(A, E)))), k9_subset_1(k1_numbers, k9_xtuple_0(C), k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, E), A), k2_rcomp_1(A, k2_xcmplx_0(A, E))))))  |  (r1_tarski(k9_subset_1(k1_numbers, k9_xtuple_0(D), k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, E), A), k2_rcomp_1(A, k2_xcmplx_0(A, E)))), k9_subset_1(k1_numbers, k9_xtuple_0(C), k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, E), A), k2_rcomp_1(A, k2_xcmplx_0(A, E))))) & r1_tarski(k9_subset_1(k1_numbers, k9_xtuple_0(B), k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, E), A), k2_rcomp_1(A, k2_xcmplx_0(A, E)))), k9_subset_1(k1_numbers, k9_xtuple_0(D), k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, E), A), k2_rcomp_1(A, k2_xcmplx_0(A, E)))))) ) ) ) ) ) )  |  (r1_limfunc3(B, A) & k1_limfunc3(B, A)=k1_limfunc3(C, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc3(C, A) &  (r1_limfunc3(D, A) & k1_limfunc3(C, A)=k1_limfunc3(D, A)) )  =>  ( (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  (r1_tarski(k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, E), A), k2_rcomp_1(A, k2_xcmplx_0(A, E))), k3_xboole_0(k3_xboole_0(k9_xtuple_0(C), k9_xtuple_0(D)), k9_xtuple_0(B))) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, E), A), k2_rcomp_1(A, k2_xcmplx_0(A, E)))) =>  (r1_xxreal_0(k1_funct_1(C, F), k1_funct_1(B, F)) & r1_xxreal_0(k1_funct_1(B, F), k1_funct_1(D, F))) ) ) ) ) ) ) ) )  |  (r1_limfunc3(B, A) & k1_limfunc3(B, A)=k1_limfunc3(C, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc3(B, A) & r1_limfunc3(C, A))  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  ( (r1_tarski(k9_subset_1(k1_numbers, k9_xtuple_0(B), k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, D), A), k2_rcomp_1(A, k2_xcmplx_0(A, D)))), k9_subset_1(k1_numbers, k9_xtuple_0(C), k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, D), A), k2_rcomp_1(A, k2_xcmplx_0(A, D))))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k9_subset_1(k1_numbers, k9_xtuple_0(B), k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, D), A), k2_rcomp_1(A, k2_xcmplx_0(A, D))))) => r1_xxreal_0(k1_funct_1(B, E), k1_funct_1(C, E))) ) ) )  |  (r1_tarski(k9_subset_1(k1_numbers, k9_xtuple_0(C), k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, D), A), k2_rcomp_1(A, k2_xcmplx_0(A, D)))), k9_subset_1(k1_numbers, k9_xtuple_0(B), k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, D), A), k2_rcomp_1(A, k2_xcmplx_0(A, D))))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k9_subset_1(k1_numbers, k9_xtuple_0(C), k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, D), A), k2_rcomp_1(A, k2_xcmplx_0(A, D))))) => r1_xxreal_0(k1_funct_1(B, E), k1_funct_1(C, E))) ) ) ) ) ) ) ) )  | r1_xxreal_0(k1_limfunc3(B, A), k1_limfunc3(C, A))) ) ) ) ) ) ) ) ).
fof(t44_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, C))  &  ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(E, C))  &  ( ~ (r1_xxreal_0(A, E))  &  (r2_hidden(E, k9_xtuple_0(B)) &  ( ~ (r1_xxreal_0(D, F))  &  ( ~ (r1_xxreal_0(F, A))  &  (r2_hidden(F, k9_xtuple_0(B)) &  ( ~ (k1_funct_1(B, E)=k5_numbers)  &  ~ (k1_funct_1(B, F)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ( ~ (r2_limfunc3(B, A))  &  ~ (r3_limfunc3(B, A)) )  |  (r1_limfunc3(k6_rfunct_1(k1_numbers, k1_numbers, B), A) & k1_limfunc3(k6_rfunct_1(k1_numbers, k1_numbers, B), A)=k5_numbers) ) ) ) ) ) ) ).
fof(t45_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc3(B, A) &  (k1_limfunc3(B, A)=k5_numbers &  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, C))  &  ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(E, C))  &  ( ~ (r1_xxreal_0(A, E))  &  (r2_hidden(E, k9_xtuple_0(B)) &  ( ~ (r1_xxreal_0(D, F))  &  ( ~ (r1_xxreal_0(F, A))  &  (r2_hidden(F, k9_xtuple_0(B)) &  ( ~ (k1_funct_1(B, E)=k5_numbers)  &  ~ (k1_funct_1(B, F)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, k9_subset_1(k1_numbers, k9_xtuple_0(B), k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, C), A), k2_rcomp_1(A, k2_xcmplx_0(A, C))))) => r1_xxreal_0(k5_numbers, k1_funct_1(B, D))) ) ) ) ) ) )  | r2_limfunc3(k6_rfunct_1(k1_numbers, k1_numbers, B), A)) ) ) ) ) ) ).
fof(t46_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc3(B, A) &  (k1_limfunc3(B, A)=k5_numbers &  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, C))  &  ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(E, C))  &  ( ~ (r1_xxreal_0(A, E))  &  (r2_hidden(E, k9_xtuple_0(B)) &  ( ~ (r1_xxreal_0(D, F))  &  ( ~ (r1_xxreal_0(F, A))  &  (r2_hidden(F, k9_xtuple_0(B)) &  ( ~ (k1_funct_1(B, E)=k5_numbers)  &  ~ (k1_funct_1(B, F)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, k9_subset_1(k1_numbers, k9_xtuple_0(B), k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, C), A), k2_rcomp_1(A, k2_xcmplx_0(A, C))))) => r1_xxreal_0(k1_funct_1(B, D), k5_numbers)) ) ) ) ) ) )  | r3_limfunc3(k6_rfunct_1(k1_numbers, k1_numbers, B), A)) ) ) ) ) ) ).
fof(t47_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc3(B, A) & k1_limfunc3(B, A)=k5_numbers)  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( (r2_hidden(D, k9_subset_1(k1_numbers, k9_xtuple_0(B), k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, C), A), k2_rcomp_1(A, k2_xcmplx_0(A, C))))) & r1_xxreal_0(k1_funct_1(B, D), k5_numbers)) ) ) ) ) ) ) )  | r2_limfunc3(k6_rfunct_1(k1_numbers, k1_numbers, B), A)) ) ) ) ) ) ).
fof(t48_limfunc3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc3(B, A) & k1_limfunc3(B, A)=k5_numbers)  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( (r2_hidden(D, k9_subset_1(k1_numbers, k9_xtuple_0(B), k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, C), A), k2_rcomp_1(A, k2_xcmplx_0(A, C))))) & r1_xxreal_0(k5_numbers, k1_funct_1(B, D))) ) ) ) ) ) ) )  | r3_limfunc3(k6_rfunct_1(k1_numbers, k1_numbers, B), A)) ) ) ) ) ) ).
fof(dt_k1_limfunc3, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  & v1_xreal_0(B))  => v1_xreal_0(k1_limfunc3(A, B))) ) ).
fof(t1_limfunc4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [D] :  (r1_tarski(k10_xtuple_0(C), k8_subset_1(k1_numbers, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)), D)) =>  (r1_tarski(k10_xtuple_0(C), k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B))) &  (r1_tarski(k10_xtuple_0(C), D) &  (r1_tarski(k10_xtuple_0(C), k1_relset_1(k1_numbers, A)) &  (r1_tarski(k10_xtuple_0(C), k8_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), D)) & r1_tarski(k10_xtuple_0(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, C, A)), k1_relset_1(k1_numbers, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_limfunc4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [D] :  (r1_tarski(k10_xtuple_0(C), k7_subset_1(k1_numbers, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)), D)) =>  (r1_tarski(k10_xtuple_0(C), k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B))) &  (r1_tarski(k10_xtuple_0(C), k1_relset_1(k1_numbers, A)) &  (r1_tarski(k10_xtuple_0(C), k7_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), D)) & r1_tarski(k10_xtuple_0(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, C, A)), k1_relset_1(k1_numbers, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_limfunc4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v4_limfunc1(A) &  (v4_limfunc1(B) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, C))  & r2_hidden(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  => v4_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B))) ) ) ) ) ).
fof(t4_limfunc4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v4_limfunc1(A) &  (v5_limfunc1(B) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, C))  & r2_hidden(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  => v5_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B))) ) ) ) ) ).
fof(t5_limfunc4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v5_limfunc1(A) &  (v7_limfunc1(B) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, C))  & r2_hidden(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  => v4_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B))) ) ) ) ) ).
fof(t6_limfunc4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v5_limfunc1(A) &  (v8_limfunc1(B) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, C))  & r2_hidden(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  => v5_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B))) ) ) ) ) ).
fof(t7_limfunc4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v7_limfunc1(A) &  (v4_limfunc1(B) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(C, D))  & r2_hidden(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  => v7_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B))) ) ) ) ) ).
fof(t8_limfunc4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v7_limfunc1(A) &  (v5_limfunc1(B) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(C, D))  & r2_hidden(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  => v8_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B))) ) ) ) ) ).
fof(t9_limfunc4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v8_limfunc1(A) &  (v7_limfunc1(B) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(C, D))  & r2_hidden(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  => v7_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B))) ) ) ) ) ).
fof(t10_limfunc4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v8_limfunc1(A) &  (v8_limfunc1(B) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(C, D))  & r2_hidden(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  => v8_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B))) ) ) ) ) ).
fof(t11_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_limfunc2(B, A) &  (v4_limfunc1(C) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, D))  &  ( ~ (r1_xxreal_0(A, E))  & r2_hidden(E, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  => r2_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ).
fof(t12_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_limfunc2(B, A) &  (v5_limfunc1(C) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, D))  &  ( ~ (r1_xxreal_0(A, E))  & r2_hidden(E, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  => r3_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ).
fof(t13_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r3_limfunc2(B, A) &  (v7_limfunc1(C) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, D))  &  ( ~ (r1_xxreal_0(A, E))  & r2_hidden(E, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  => r2_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ).
fof(t14_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r3_limfunc2(B, A) &  (v8_limfunc1(C) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, D))  &  ( ~ (r1_xxreal_0(A, E))  & r2_hidden(E, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  => r3_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ).
fof(t15_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r5_limfunc2(B, A) &  (v4_limfunc1(C) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(D, E))  &  ( ~ (r1_xxreal_0(E, A))  & r2_hidden(E, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  => r5_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ).
fof(t16_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r5_limfunc2(B, A) &  (v5_limfunc1(C) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(D, E))  &  ( ~ (r1_xxreal_0(E, A))  & r2_hidden(E, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  => r6_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ).
fof(t17_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r6_limfunc2(B, A) &  (v7_limfunc1(C) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(D, E))  &  ( ~ (r1_xxreal_0(E, A))  & r2_hidden(E, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  => r5_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ).
fof(t18_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r6_limfunc2(B, A) &  (v8_limfunc1(C) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(D, E))  &  ( ~ (r1_xxreal_0(E, A))  & r2_hidden(E, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  => r6_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ).
fof(t19_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc2(B, A) &  (r2_limfunc2(C, k1_limfunc2(B, A)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, D))  &  ( ~ (r1_xxreal_0(A, E))  & r2_hidden(E, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(k6_xcmplx_0(A, D), A))) & r1_xxreal_0(k1_limfunc2(B, A), k1_funct_1(B, E))) ) ) ) ) ) ) )  | r2_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ) ).
fof(t20_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc2(B, A) &  (r3_limfunc2(C, k1_limfunc2(B, A)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, D))  &  ( ~ (r1_xxreal_0(A, E))  & r2_hidden(E, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(k6_xcmplx_0(A, D), A))) & r1_xxreal_0(k1_limfunc2(B, A), k1_funct_1(B, E))) ) ) ) ) ) ) )  | r3_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ) ).
fof(t21_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc2(B, A) &  (r5_limfunc2(C, k1_limfunc2(B, A)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, D))  &  ( ~ (r1_xxreal_0(A, E))  & r2_hidden(E, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(k6_xcmplx_0(A, D), A))) & r1_xxreal_0(k1_funct_1(B, E), k1_limfunc2(B, A))) ) ) ) ) ) ) )  | r2_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ) ).
fof(t22_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc2(B, A) &  (r6_limfunc2(C, k1_limfunc2(B, A)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, D))  &  ( ~ (r1_xxreal_0(A, E))  & r2_hidden(E, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(k6_xcmplx_0(A, D), A))) & r1_xxreal_0(k1_funct_1(B, E), k1_limfunc2(B, A))) ) ) ) ) ) ) )  | r3_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ) ).
fof(t23_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r4_limfunc2(B, A) &  (r5_limfunc2(C, k2_limfunc2(B, A)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(D, E))  &  ( ~ (r1_xxreal_0(E, A))  & r2_hidden(E, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(A, k2_xcmplx_0(A, D)))) & r1_xxreal_0(k1_funct_1(B, E), k2_limfunc2(B, A))) ) ) ) ) ) ) )  | r5_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ) ).
fof(t24_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r4_limfunc2(B, A) &  (r6_limfunc2(C, k2_limfunc2(B, A)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(D, E))  &  ( ~ (r1_xxreal_0(E, A))  & r2_hidden(E, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(A, k2_xcmplx_0(A, D)))) & r1_xxreal_0(k1_funct_1(B, E), k2_limfunc2(B, A))) ) ) ) ) ) ) )  | r6_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ) ).
fof(t25_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r4_limfunc2(B, A) &  (r2_limfunc2(C, k2_limfunc2(B, A)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(D, E))  &  ( ~ (r1_xxreal_0(E, A))  & r2_hidden(E, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(A, k2_xcmplx_0(A, D)))) & r1_xxreal_0(k2_limfunc2(B, A), k1_funct_1(B, E))) ) ) ) ) ) ) )  | r5_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ) ).
fof(t26_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r4_limfunc2(B, A) &  (r3_limfunc2(C, k2_limfunc2(B, A)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(D, E))  &  ( ~ (r1_xxreal_0(E, A))  & r2_hidden(E, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(A, k2_xcmplx_0(A, D)))) & r1_xxreal_0(k2_limfunc2(B, A), k1_funct_1(B, E))) ) ) ) ) ) ) )  | r6_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ) ).
fof(t27_limfunc4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v3_limfunc1(A) &  (r2_limfunc2(B, k4_limfunc1(A)) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, C))  & r2_hidden(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  (r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k3_limfunc1(C))) & r1_xxreal_0(k4_limfunc1(A), k1_funct_1(A, D))) ) ) ) )  | v4_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B))) ) ) ) ) ) ).
fof(t28_limfunc4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v3_limfunc1(A) &  (r3_limfunc2(B, k4_limfunc1(A)) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, C))  & r2_hidden(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  (r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k3_limfunc1(C))) & r1_xxreal_0(k4_limfunc1(A), k1_funct_1(A, D))) ) ) ) )  | v5_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B))) ) ) ) ) ) ).
fof(t29_limfunc4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v3_limfunc1(A) &  (r5_limfunc2(B, k4_limfunc1(A)) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, C))  & r2_hidden(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  (r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k3_limfunc1(C))) & r1_xxreal_0(k1_funct_1(A, D), k4_limfunc1(A))) ) ) ) )  | v4_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B))) ) ) ) ) ) ).
fof(t30_limfunc4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v3_limfunc1(A) &  (r6_limfunc2(B, k4_limfunc1(A)) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, C))  & r2_hidden(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  (r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k3_limfunc1(C))) & r1_xxreal_0(k1_funct_1(A, D), k4_limfunc1(A))) ) ) ) )  | v5_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B))) ) ) ) ) ) ).
fof(t31_limfunc4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v6_limfunc1(A) &  (r2_limfunc2(B, k5_limfunc1(A)) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(C, D))  & r2_hidden(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  (r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k10_prob_1(C))) & r1_xxreal_0(k5_limfunc1(A), k1_funct_1(A, D))) ) ) ) )  | v7_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B))) ) ) ) ) ) ).
fof(t32_limfunc4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v6_limfunc1(A) &  (r3_limfunc2(B, k5_limfunc1(A)) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(C, D))  & r2_hidden(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  (r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k10_prob_1(C))) & r1_xxreal_0(k5_limfunc1(A), k1_funct_1(A, D))) ) ) ) )  | v8_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B))) ) ) ) ) ) ).
fof(t33_limfunc4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v6_limfunc1(A) &  (r5_limfunc2(B, k5_limfunc1(A)) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(C, D))  & r2_hidden(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  (r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k10_prob_1(C))) & r1_xxreal_0(k1_funct_1(A, D), k5_limfunc1(A))) ) ) ) )  | v7_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B))) ) ) ) ) ) ).
fof(t34_limfunc4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v6_limfunc1(A) &  (r6_limfunc2(B, k5_limfunc1(A)) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(C, D))  & r2_hidden(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  (r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k10_prob_1(C))) & r1_xxreal_0(k1_funct_1(A, D), k5_limfunc1(A))) ) ) ) )  | v8_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B))) ) ) ) ) ) ).
fof(t35_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_limfunc3(B, A) &  (v4_limfunc1(C) &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  ( ~ (r1_xxreal_0(E, A))  &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(F, D))  &  ( ~ (r1_xxreal_0(A, F))  &  (r2_hidden(F, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C))) &  ( ~ (r1_xxreal_0(E, G))  &  ( ~ (r1_xxreal_0(G, A))  & r2_hidden(G, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  => r2_limfunc3(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ).
fof(t36_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_limfunc3(B, A) &  (v5_limfunc1(C) &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  ( ~ (r1_xxreal_0(E, A))  &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(F, D))  &  ( ~ (r1_xxreal_0(A, F))  &  (r2_hidden(F, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C))) &  ( ~ (r1_xxreal_0(E, G))  &  ( ~ (r1_xxreal_0(G, A))  & r2_hidden(G, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  => r3_limfunc3(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ).
fof(t37_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r3_limfunc3(B, A) &  (v7_limfunc1(C) &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  ( ~ (r1_xxreal_0(E, A))  &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(F, D))  &  ( ~ (r1_xxreal_0(A, F))  &  (r2_hidden(F, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C))) &  ( ~ (r1_xxreal_0(E, G))  &  ( ~ (r1_xxreal_0(G, A))  & r2_hidden(G, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  => r2_limfunc3(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ).
fof(t38_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r3_limfunc3(B, A) &  (v8_limfunc1(C) &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  ( ~ (r1_xxreal_0(E, A))  &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(F, D))  &  ( ~ (r1_xxreal_0(A, F))  &  (r2_hidden(F, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C))) &  ( ~ (r1_xxreal_0(E, G))  &  ( ~ (r1_xxreal_0(G, A))  & r2_hidden(G, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  => r3_limfunc3(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ).
fof(t39_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc3(B, A) &  (r2_limfunc3(C, k1_limfunc3(B, A)) &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  ( ~ (r1_xxreal_0(E, A))  &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(F, D))  &  ( ~ (r1_xxreal_0(A, F))  &  (r2_hidden(F, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C))) &  ( ~ (r1_xxreal_0(E, G))  &  ( ~ (r1_xxreal_0(G, A))  & r2_hidden(G, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, D), A), k2_rcomp_1(A, k2_xcmplx_0(A, D))))) & k1_funct_1(B, E)=k1_limfunc3(B, A)) ) ) ) ) ) ) )  | r2_limfunc3(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ) ).
fof(t40_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc3(B, A) &  (r3_limfunc3(C, k1_limfunc3(B, A)) &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  ( ~ (r1_xxreal_0(E, A))  &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(F, D))  &  ( ~ (r1_xxreal_0(A, F))  &  (r2_hidden(F, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C))) &  ( ~ (r1_xxreal_0(E, G))  &  ( ~ (r1_xxreal_0(G, A))  & r2_hidden(G, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, D), A), k2_rcomp_1(A, k2_xcmplx_0(A, D))))) & k1_funct_1(B, E)=k1_limfunc3(B, A)) ) ) ) ) ) ) )  | r3_limfunc3(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ) ).
fof(t41_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc3(B, A) &  (r5_limfunc2(C, k1_limfunc3(B, A)) &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  ( ~ (r1_xxreal_0(E, A))  &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(F, D))  &  ( ~ (r1_xxreal_0(A, F))  &  (r2_hidden(F, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C))) &  ( ~ (r1_xxreal_0(E, G))  &  ( ~ (r1_xxreal_0(G, A))  & r2_hidden(G, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, D), A), k2_rcomp_1(A, k2_xcmplx_0(A, D))))) & r1_xxreal_0(k1_funct_1(B, E), k1_limfunc3(B, A))) ) ) ) ) ) ) )  | r2_limfunc3(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ) ).
fof(t42_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc3(B, A) &  (r6_limfunc2(C, k1_limfunc3(B, A)) &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  ( ~ (r1_xxreal_0(E, A))  &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(F, D))  &  ( ~ (r1_xxreal_0(A, F))  &  (r2_hidden(F, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C))) &  ( ~ (r1_xxreal_0(E, G))  &  ( ~ (r1_xxreal_0(G, A))  & r2_hidden(G, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, D), A), k2_rcomp_1(A, k2_xcmplx_0(A, D))))) & r1_xxreal_0(k1_funct_1(B, E), k1_limfunc3(B, A))) ) ) ) ) ) ) )  | r3_limfunc3(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ) ).
fof(t43_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r4_limfunc2(B, A) &  (r2_limfunc3(C, k2_limfunc2(B, A)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(D, E))  &  ( ~ (r1_xxreal_0(E, A))  & r2_hidden(E, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(A, k2_xcmplx_0(A, D)))) & k1_funct_1(B, E)=k2_limfunc2(B, A)) ) ) ) ) ) ) )  | r5_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ) ).
fof(t44_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r4_limfunc2(B, A) &  (r3_limfunc3(C, k2_limfunc2(B, A)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(D, E))  &  ( ~ (r1_xxreal_0(E, A))  & r2_hidden(E, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(A, k2_xcmplx_0(A, D)))) & k1_funct_1(B, E)=k2_limfunc2(B, A)) ) ) ) ) ) ) )  | r6_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ) ).
fof(t45_limfunc4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v3_limfunc1(A) &  (r2_limfunc3(B, k4_limfunc1(A)) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, C))  & r2_hidden(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  (r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k3_limfunc1(C))) & k1_funct_1(A, D)=k4_limfunc1(A)) ) ) ) )  | v4_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B))) ) ) ) ) ) ).
fof(t46_limfunc4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v3_limfunc1(A) &  (r3_limfunc3(B, k4_limfunc1(A)) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, C))  & r2_hidden(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  (r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k3_limfunc1(C))) & k1_funct_1(A, D)=k4_limfunc1(A)) ) ) ) )  | v5_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B))) ) ) ) ) ) ).
fof(t47_limfunc4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v6_limfunc1(A) &  (r2_limfunc3(B, k5_limfunc1(A)) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(C, D))  & r2_hidden(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  (r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k10_prob_1(C))) & k1_funct_1(A, D)=k5_limfunc1(A)) ) ) ) )  | v7_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B))) ) ) ) ) ) ).
fof(t48_limfunc4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v6_limfunc1(A) &  (r3_limfunc3(B, k5_limfunc1(A)) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(C, D))  & r2_hidden(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  (r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k10_prob_1(C))) & k1_funct_1(A, D)=k5_limfunc1(A)) ) ) ) )  | v8_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B))) ) ) ) ) ) ).
fof(t49_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc3(B, A) &  (r2_limfunc2(C, k1_limfunc3(B, A)) &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  ( ~ (r1_xxreal_0(E, A))  &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(F, D))  &  ( ~ (r1_xxreal_0(A, F))  &  (r2_hidden(F, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C))) &  ( ~ (r1_xxreal_0(E, G))  &  ( ~ (r1_xxreal_0(G, A))  & r2_hidden(G, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, D), A), k2_rcomp_1(A, k2_xcmplx_0(A, D))))) & r1_xxreal_0(k1_limfunc3(B, A), k1_funct_1(B, E))) ) ) ) ) ) ) )  | r2_limfunc3(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ) ).
fof(t50_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc3(B, A) &  (r3_limfunc2(C, k1_limfunc3(B, A)) &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  ( ~ (r1_xxreal_0(E, A))  &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(F, D))  &  ( ~ (r1_xxreal_0(A, F))  &  (r2_hidden(F, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C))) &  ( ~ (r1_xxreal_0(E, G))  &  ( ~ (r1_xxreal_0(G, A))  & r2_hidden(G, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, D), A), k2_rcomp_1(A, k2_xcmplx_0(A, D))))) & r1_xxreal_0(k1_limfunc3(B, A), k1_funct_1(B, E))) ) ) ) ) ) ) )  | r3_limfunc3(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ) ).
fof(t51_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc2(B, A) &  (r2_limfunc3(C, k1_limfunc2(B, A)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, D))  &  ( ~ (r1_xxreal_0(A, E))  & r2_hidden(E, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(k6_xcmplx_0(A, D), A))) & k1_funct_1(B, E)=k1_limfunc2(B, A)) ) ) ) ) ) ) )  | r2_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ) ).
fof(t52_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc2(B, A) &  (r3_limfunc3(C, k1_limfunc2(B, A)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, D))  &  ( ~ (r1_xxreal_0(A, E))  & r2_hidden(E, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(k6_xcmplx_0(A, D), A))) & k1_funct_1(B, E)=k1_limfunc2(B, A)) ) ) ) ) ) ) )  | r3_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ) ).
fof(t53_limfunc4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v4_limfunc1(A) &  (v3_limfunc1(B) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, C))  & r2_hidden(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  =>  (v3_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)) & k4_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B))=k4_limfunc1(B)) ) ) ) ) ) ).
fof(t54_limfunc4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v5_limfunc1(A) &  (v6_limfunc1(B) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, C))  & r2_hidden(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  =>  (v3_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)) & k4_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B))=k5_limfunc1(B)) ) ) ) ) ) ).
fof(t55_limfunc4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v7_limfunc1(A) &  (v3_limfunc1(B) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(C, D))  & r2_hidden(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  =>  (v6_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)) & k5_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B))=k4_limfunc1(B)) ) ) ) ) ) ).
fof(t56_limfunc4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v8_limfunc1(A) &  (v6_limfunc1(B) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(C, D))  & r2_hidden(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  =>  (v6_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)) & k5_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B))=k5_limfunc1(B)) ) ) ) ) ) ).
fof(t57_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_limfunc2(B, A) &  (v3_limfunc1(C) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, D))  &  ( ~ (r1_xxreal_0(A, E))  & r2_hidden(E, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  =>  (r1_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A) & k1_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)=k4_limfunc1(C)) ) ) ) ) ) ) ) ).
fof(t58_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r3_limfunc2(B, A) &  (v6_limfunc1(C) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, D))  &  ( ~ (r1_xxreal_0(A, E))  & r2_hidden(E, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  =>  (r1_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A) & k1_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)=k5_limfunc1(C)) ) ) ) ) ) ) ) ).
fof(t59_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r5_limfunc2(B, A) &  (v3_limfunc1(C) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(D, E))  &  ( ~ (r1_xxreal_0(E, A))  & r2_hidden(E, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  =>  (r4_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A) & k2_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)=k4_limfunc1(C)) ) ) ) ) ) ) ) ).
fof(t60_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r6_limfunc2(B, A) &  (v6_limfunc1(C) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(D, E))  &  ( ~ (r1_xxreal_0(E, A))  & r2_hidden(E, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  =>  (r4_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A) & k2_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)=k5_limfunc1(C)) ) ) ) ) ) ) ) ).
fof(t61_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc2(B, A) &  (r1_limfunc2(C, k1_limfunc2(B, A)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, D))  &  ( ~ (r1_xxreal_0(A, E))  & r2_hidden(E, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(k6_xcmplx_0(A, D), A))) & r1_xxreal_0(k1_limfunc2(B, A), k1_funct_1(B, E))) ) ) ) ) ) ) )  |  (r1_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A) & k1_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)=k1_limfunc2(C, k1_limfunc2(B, A))) ) ) ) ) ) ) ) ) ).
fof(t62_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r4_limfunc2(B, A) &  (r4_limfunc2(C, k2_limfunc2(B, A)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(D, E))  &  ( ~ (r1_xxreal_0(E, A))  & r2_hidden(E, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(A, k2_xcmplx_0(A, D)))) & r1_xxreal_0(k1_funct_1(B, E), k2_limfunc2(B, A))) ) ) ) ) ) ) )  |  (r4_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A) & k2_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)=k2_limfunc2(C, k2_limfunc2(B, A))) ) ) ) ) ) ) ) ) ).
fof(t63_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc2(B, A) &  (r4_limfunc2(C, k1_limfunc2(B, A)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, D))  &  ( ~ (r1_xxreal_0(A, E))  & r2_hidden(E, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(k6_xcmplx_0(A, D), A))) & r1_xxreal_0(k1_funct_1(B, E), k1_limfunc2(B, A))) ) ) ) ) ) ) )  |  (r1_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A) & k1_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)=k2_limfunc2(C, k1_limfunc2(B, A))) ) ) ) ) ) ) ) ) ).
fof(t64_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r4_limfunc2(B, A) &  (r1_limfunc2(C, k2_limfunc2(B, A)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(D, E))  &  ( ~ (r1_xxreal_0(E, A))  & r2_hidden(E, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(A, k2_xcmplx_0(A, D)))) & r1_xxreal_0(k2_limfunc2(B, A), k1_funct_1(B, E))) ) ) ) ) ) ) )  |  (r4_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A) & k2_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)=k1_limfunc2(C, k2_limfunc2(B, A))) ) ) ) ) ) ) ) ) ).
fof(t65_limfunc4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v3_limfunc1(A) &  (r1_limfunc2(B, k4_limfunc1(A)) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, C))  & r2_hidden(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  (r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k3_limfunc1(C))) & r1_xxreal_0(k4_limfunc1(A), k1_funct_1(A, D))) ) ) ) )  |  (v3_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)) & k4_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B))=k1_limfunc2(B, k4_limfunc1(A))) ) ) ) ) ) ) ).
fof(t66_limfunc4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v3_limfunc1(A) &  (r4_limfunc2(B, k4_limfunc1(A)) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, C))  & r2_hidden(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  (r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k3_limfunc1(C))) & r1_xxreal_0(k1_funct_1(A, D), k4_limfunc1(A))) ) ) ) )  |  (v3_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)) & k4_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B))=k2_limfunc2(B, k4_limfunc1(A))) ) ) ) ) ) ) ).
fof(t67_limfunc4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v6_limfunc1(A) &  (r1_limfunc2(B, k5_limfunc1(A)) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(C, D))  & r2_hidden(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  (r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k10_prob_1(C))) & r1_xxreal_0(k5_limfunc1(A), k1_funct_1(A, D))) ) ) ) )  |  (v6_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)) & k5_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B))=k1_limfunc2(B, k5_limfunc1(A))) ) ) ) ) ) ) ).
fof(t68_limfunc4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v6_limfunc1(A) &  (r4_limfunc2(B, k5_limfunc1(A)) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(C, D))  & r2_hidden(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  (r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k10_prob_1(C))) & r1_xxreal_0(k1_funct_1(A, D), k5_limfunc1(A))) ) ) ) )  |  (v6_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)) & k5_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B))=k2_limfunc2(B, k5_limfunc1(A))) ) ) ) ) ) ) ).
fof(t69_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_limfunc3(B, A) &  (v3_limfunc1(C) &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  ( ~ (r1_xxreal_0(E, A))  &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(F, D))  &  ( ~ (r1_xxreal_0(A, F))  &  (r2_hidden(F, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C))) &  ( ~ (r1_xxreal_0(E, G))  &  ( ~ (r1_xxreal_0(G, A))  & r2_hidden(G, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (r1_limfunc3(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A) & k1_limfunc3(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)=k4_limfunc1(C)) ) ) ) ) ) ) ) ).
fof(t70_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r3_limfunc3(B, A) &  (v6_limfunc1(C) &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  ( ~ (r1_xxreal_0(E, A))  &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(F, D))  &  ( ~ (r1_xxreal_0(A, F))  &  (r2_hidden(F, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C))) &  ( ~ (r1_xxreal_0(E, G))  &  ( ~ (r1_xxreal_0(G, A))  & r2_hidden(G, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (r1_limfunc3(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A) & k1_limfunc3(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)=k5_limfunc1(C)) ) ) ) ) ) ) ) ).
fof(t71_limfunc4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v3_limfunc1(A) &  (r1_limfunc3(B, k4_limfunc1(A)) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, C))  & r2_hidden(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  (r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k3_limfunc1(C))) & k1_funct_1(A, D)=k4_limfunc1(A)) ) ) ) )  |  (v3_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)) & k4_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B))=k1_limfunc3(B, k4_limfunc1(A))) ) ) ) ) ) ) ).
fof(t72_limfunc4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v6_limfunc1(A) &  (r1_limfunc3(B, k5_limfunc1(A)) &  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(C, D))  & r2_hidden(D, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (v1_xreal_0(D) &  (r2_hidden(D, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, A), k10_prob_1(C))) & k1_funct_1(A, D)=k5_limfunc1(A)) ) ) ) )  |  (v6_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B)) & k5_limfunc1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, A, B))=k1_limfunc3(B, k5_limfunc1(A))) ) ) ) ) ) ) ).
fof(t73_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc3(B, A) &  (r1_limfunc2(C, k1_limfunc3(B, A)) &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  ( ~ (r1_xxreal_0(E, A))  &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(F, D))  &  ( ~ (r1_xxreal_0(A, F))  &  (r2_hidden(F, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C))) &  ( ~ (r1_xxreal_0(E, G))  &  ( ~ (r1_xxreal_0(G, A))  & r2_hidden(G, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, D), A), k2_rcomp_1(A, k2_xcmplx_0(A, D))))) & r1_xxreal_0(k1_limfunc3(B, A), k1_funct_1(B, E))) ) ) ) ) ) ) )  |  (r1_limfunc3(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A) & k1_limfunc3(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)=k1_limfunc2(C, k1_limfunc3(B, A))) ) ) ) ) ) ) ) ) ).
fof(t74_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc2(B, A) &  (r1_limfunc3(C, k1_limfunc2(B, A)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, D))  &  ( ~ (r1_xxreal_0(A, E))  & r2_hidden(E, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(k6_xcmplx_0(A, D), A))) & k1_funct_1(B, E)=k1_limfunc2(B, A)) ) ) ) ) ) ) )  |  (r1_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A) & k1_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)=k1_limfunc3(C, k1_limfunc2(B, A))) ) ) ) ) ) ) ) ) ).
fof(t75_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc3(B, A) &  (r4_limfunc2(C, k1_limfunc3(B, A)) &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  ( ~ (r1_xxreal_0(E, A))  &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(F, D))  &  ( ~ (r1_xxreal_0(A, F))  &  (r2_hidden(F, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C))) &  ( ~ (r1_xxreal_0(E, G))  &  ( ~ (r1_xxreal_0(G, A))  & r2_hidden(G, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, D), A), k2_rcomp_1(A, k2_xcmplx_0(A, D))))) & r1_xxreal_0(k1_funct_1(B, E), k1_limfunc3(B, A))) ) ) ) ) ) ) )  |  (r1_limfunc3(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A) & k1_limfunc3(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)=k2_limfunc2(C, k1_limfunc3(B, A))) ) ) ) ) ) ) ) ) ).
fof(t76_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r4_limfunc2(B, A) &  (r1_limfunc3(C, k2_limfunc2(B, A)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, A))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(D, E))  &  ( ~ (r1_xxreal_0(E, A))  & r2_hidden(E, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k2_rcomp_1(A, k2_xcmplx_0(A, D)))) & k1_funct_1(B, E)=k2_limfunc2(B, A)) ) ) ) ) ) ) )  |  (r4_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A) & k2_limfunc2(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)=k1_limfunc3(C, k2_limfunc2(B, A))) ) ) ) ) ) ) ) ) ).
fof(t77_limfunc4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_limfunc3(B, A) &  (r1_limfunc3(C, k1_limfunc3(B, A)) &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(A, D))  &  ( ~ (r1_xxreal_0(E, A))  &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(F, D))  &  ( ~ (r1_xxreal_0(A, F))  &  (r2_hidden(F, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C))) &  ( ~ (r1_xxreal_0(E, G))  &  ( ~ (r1_xxreal_0(G, A))  & r2_hidden(G, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k4_subset_1(k1_numbers, k2_rcomp_1(k6_xcmplx_0(A, D), A), k2_rcomp_1(A, k2_xcmplx_0(A, D))))) & k1_funct_1(B, E)=k1_limfunc3(B, A)) ) ) ) ) ) ) )  |  (r1_limfunc3(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A) & k1_limfunc3(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)=k1_limfunc3(C, k1_limfunc3(B, A))) ) ) ) ) ) ) ) ) ).
fof(fc1_liouvil1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v7_ordinal1(B))  =>  (v1_xreal_0(k2_power(A, B)) & v1_int_1(k2_power(A, B))) ) ) ).
fof(fc2_liouvil1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v5_relat_1(k1_seq_1(A), k4_ordinal1) &  (v1_funct_1(k1_seq_1(A)) & v1_funct_2(k1_seq_1(A), k4_ordinal1, k1_numbers)) ) ) ) ).
fof(fc3_liouvil1, axiom,  (! [A] :  ( (v2_xxreal_0(A) & v7_ordinal1(A))  =>  (v1_funct_1(k1_seq_1(A)) &  (v1_funct_2(k1_seq_1(A), k4_ordinal1, k1_numbers) & v1_partfun3(k1_seq_1(A))) ) ) ) ).
fof(rc1_liouvil1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k1_numbers) &  (v5_relat_1(A, k4_numbers) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v1_valued_0(A) &  (v2_valued_0(A) & v3_valued_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc4_liouvil1, axiom,  (! [A] :  ( (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (v1_relat_1(k2_series_1(A)) &  (v4_relat_1(k2_series_1(A), k4_ordinal1) &  (v5_relat_1(k2_series_1(A), k4_numbers) &  (v1_funct_1(k2_series_1(A)) &  (v1_partfun1(k2_series_1(A), k4_ordinal1) & v1_valued_0(k2_series_1(A))) ) ) ) ) ) ) ).
fof(fc5_liouvil1, axiom,  (! [A] :  ( (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (v1_relat_1(k2_series_1(A)) &  (v4_relat_1(k2_series_1(A), k4_ordinal1) &  (v5_relat_1(k2_series_1(A), k4_ordinal1) &  (v1_funct_1(k2_series_1(A)) &  (v1_partfun1(k2_series_1(A), k4_ordinal1) & v1_valued_0(k2_series_1(A))) ) ) ) ) ) ) ).
fof(fc6_liouvil1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v4_partfun3(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  & v7_ordinal1(B))  =>  (v1_relat_1(k6_nat_1(A, B)) &  (v4_relat_1(k6_nat_1(A, B), k4_ordinal1) &  (v1_funct_1(k6_nat_1(A, B)) &  (v1_partfun1(k6_nat_1(A, B), k4_ordinal1) & v4_partfun3(k6_nat_1(A, B))) ) ) ) ) ) ).
fof(fc7_liouvil1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  & m1_subset_1(B, k1_zfmisc_1(k4_ordinal1)))  =>  (v1_relat_1(k5_relat_1(A, B)) & v4_relat_1(k5_relat_1(A, B), k4_ordinal1)) ) ) ).
fof(fc8_liouvil1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  & v7_ordinal1(B))  =>  (v1_funct_1(k1_liouvil1(A, k2_finseq_1(B))) &  (v1_funct_2(k1_liouvil1(A, k2_finseq_1(B)), k4_ordinal1, k1_numbers) & v1_series_1(k1_liouvil1(A, k2_finseq_1(B)))) ) ) ) ).
fof(fc9_liouvil1, axiom,  (! [A, B] :  ( ( (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  & v7_ordinal1(B))  =>  (v5_relat_1(k1_liouvil1(A, k2_finseq_1(B)), k4_numbers) &  (v1_funct_1(k1_liouvil1(A, k2_finseq_1(B))) & v1_funct_2(k1_liouvil1(A, k2_finseq_1(B)), k4_ordinal1, k1_numbers)) ) ) ) ).
fof(rc2_liouvil1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k1_numbers) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) & v1_partfun3(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_liouvil1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers))) =>  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & v5_asympt_0(A)) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & v1_liouvil1(A)) ) ) ) ) ).
fof(fc10_liouvil1, axiom,  (v1_funct_1(k2_rsspace(k4_relat_1(k4_ordinal1))) &  (v1_funct_2(k2_rsspace(k4_relat_1(k4_ordinal1)), k4_ordinal1, k1_numbers) & v5_asympt_0(k2_rsspace(k4_relat_1(k4_ordinal1)))) ) ).
fof(rc3_liouvil1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k1_numbers) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) & v1_liouvil1(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc11_liouvil1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v1_liouvil1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  & v7_ordinal1(B))  =>  (v1_funct_1(k6_nat_1(A, B)) &  (v1_funct_2(k6_nat_1(A, B), k4_ordinal1, k1_numbers) & v1_liouvil1(k6_nat_1(A, B))) ) ) ) ).
fof(cc2_liouvil1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers))) =>  ( (v9_ordinal1(A) &  (v1_funct_1(A) &  (v3_funct_1(A) & v1_funct_2(A, k4_ordinal1, k1_numbers)) ) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & v1_liouvil1(A)) ) ) ) ) ).
fof(fc12_liouvil1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  (v1_funct_1(k3_liouvil1(A)) &  (v1_funct_2(k3_liouvil1(A), k4_ordinal1, k1_numbers) & v1_series_1(k3_liouvil1(A))) ) ) ) ).
fof(rc4_liouvil1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k1_numbers) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) & v4_partfun3(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc3_liouvil1, axiom,  (! [A] :  ( (v1_xreal_0(A) & v2_liouvil1(A))  =>  (v1_xreal_0(A) &  ~ (v1_rat_1(A)) ) ) ) ).
fof(fc13_liouvil1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v5_relat_1(k6_liouvil1(A), k4_ordinal1) &  (v1_funct_1(k6_liouvil1(A)) & v1_funct_2(k6_liouvil1(A), k4_ordinal1, k1_numbers)) ) ) ) ).
fof(fc14_liouvil1, axiom,  (! [A, B] :  ( ( (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  (v5_relat_1(k7_liouvil1(A, B), k4_numbers) &  (v1_funct_1(k7_liouvil1(A, B)) & v1_funct_2(k7_liouvil1(A, B), k4_ordinal1, k1_numbers)) ) ) ) ).
fof(fc15_liouvil1, axiom,  (! [A, B] :  ( ( (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  &  ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B)) )  =>  (v1_funct_1(k4_liouvil1(A, B)) &  (v1_funct_2(k4_liouvil1(A, B), k4_ordinal1, k1_numbers) & v4_partfun3(k4_liouvil1(A, B))) ) ) ) ).
fof(fc16_liouvil1, axiom,  (v1_xreal_0(k8_liouvil1) & v2_liouvil1(k8_liouvil1)) ).
fof(rc5_liouvil1, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) & v2_liouvil1(A)) ) ) ) ).
fof(fc17_liouvil1, axiom,  (! [A, B] :  ( ( (v1_xreal_0(A) & v2_liouvil1(A))  & v1_int_1(B))  => v2_liouvil1(k2_xcmplx_0(A, B))) ) ).
fof(fc18_liouvil1, axiom,  ~ (v1_xboole_0(k9_liouvil1)) ).
fof(fc19_liouvil1, axiom,  ~ (v1_finset_1(k9_liouvil1)) ).
fof(t1_liouvil1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(A, 1))  &  ( ~ (r1_xxreal_0(B, 1))  &  ~ (r1_xxreal_0(k2_xcmplx_0(A, B), k3_xcmplx_0(A, B))) ) ) ) ) ) ) ) ).
fof(t2_liouvil1, axiom,  (! [A] :  (v7_ordinal1(A) => r1_xxreal_0(A, k7_newton(A))) ) ).
fof(t3_liouvil1, axiom,  (! [A] :  (v7_ordinal1(A) => k3_xcmplx_0(A, k7_newton(A))=k6_xcmplx_0(k7_newton(k1_nat_1(A, 1)), k7_newton(A))) ) ).
fof(t4_liouvil1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) => r1_xxreal_0(2, k7_newton(k1_nat_1(A, 1)))) ) ) ).
fof(t5_liouvil1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(1, B))  => r1_xxreal_0(k2_xcmplx_0(k7_newton(A), B), k7_newton(k2_xcmplx_0(A, B)))) ) ) ) ) ).
fof(t6_liouvil1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(2, A) &  (r1_xxreal_0(1, B) & r1_xxreal_0(k7_newton(k2_xcmplx_0(A, B)), k2_xcmplx_0(k7_newton(A), B))) ) ) ) ) ) ) ).
fof(t7_liouvil1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (r1_xxreal_0(A, 1))  & r1_xxreal_0(1, k9_complex1(k7_xcmplx_0(1, A)))) ) ) ) ).
fof(t8_liouvil1, axiom,  (! [A] :  (v1_int_1(A) =>  ~ ( (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  => r1_xxreal_0(k2_power(2, k6_xcmplx_0(B, 1)), A)) ) ) ) ) ).
fof(t9_liouvil1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( ( (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(k5_numbers, k8_nat_1(k1_numbers, A, C)) & r1_xxreal_0(k8_nat_1(k1_numbers, A, C), k8_nat_1(k1_numbers, B, C))) ) )  & v1_series_1(B))  =>  ( (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, C) &  ~ (r1_xxreal_0(k8_nat_1(k1_numbers, B, C), k8_nat_1(k1_numbers, A, C))) ) ) ) )  |  (v1_series_1(A) &  ~ (r1_xxreal_0(k4_series_1(B), k4_series_1(A))) ) ) ) ) ) ) ) ).
fof(t10_liouvil1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (? [B] :  (v7_ordinal1(B) &  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, C) => k8_nat_1(k1_numbers, A, C)=k5_numbers) ) ) ) )  => v1_series_1(A)) ) ) ).
fof(t11_liouvil1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, 1))  => k4_series_1(k1_prepower(k7_xcmplx_0(1, A)))=k7_xcmplx_0(A, k6_xcmplx_0(A, 1))) ) ) ).
fof(t12_liouvil1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (! [D] :  (v7_ordinal1(D) => k8_nat_1(k1_numbers, A, D)=C) )  => k8_nat_1(k1_numbers, k3_series_1(A), B)=k3_xcmplx_0(C, k1_nat_1(B, 1))) ) ) ) ) ) ) ).
fof(t13_liouvil1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) => k8_nat_1(k1_numbers, k3_series_1(k1_seq_1(B)), A)=k3_xcmplx_0(B, k1_nat_1(A, 1))) ) ) ) ).
fof(t14_liouvil1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( ( (? [B] :  (v7_ordinal1(B) &  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, C) => k8_nat_1(k1_numbers, A, C)=k5_numbers) ) ) ) )  &  (! [B] :  (v7_ordinal1(B) =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(B, C) &  ~ (k8_nat_1(k1_numbers, k3_series_1(A), C)=k8_nat_1(k1_numbers, k3_series_1(A), B)) ) ) ) ) ) ) ) ) ) ).
fof(t15_liouvil1, axiom,  (! [A] :  ( (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (? [B] :  (v7_ordinal1(B) &  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, C) => k8_nat_1(k1_numbers, A, C)=k5_numbers) ) ) ) )  => v1_int_1(k4_series_1(A))) ) ) ).
fof(d1_liouvil1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k4_ordinal1)) => k1_liouvil1(A, B)=k1_funct_4(k8_funcop_1(k4_ordinal1, k4_ordinal1, k5_numbers), k5_relat_1(A, B))) ) ) ) ).
fof(t16_liouvil1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  => r2_funct_2(k4_ordinal1, k1_numbers, k1_liouvil1(A, k2_finseq_1(k5_numbers)), k1_seq_1(k5_numbers))) ) ).
fof(d2_liouvil1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) => k2_liouvil1(A, B)=k5_relat_1(A, k2_finseq_1(B))) ) ) ) ).
fof(t17_liouvil1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(B, k2_finseq_1(C)) => k8_nat_1(k1_numbers, k1_liouvil1(A, k2_finseq_1(C)), B)=k8_nat_1(k1_numbers, A, B)) ) ) ) ) ) ) ).
fof(t18_liouvil1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) =>  (k3_funct_2(k4_ordinal1, k1_numbers, A, k5_numbers)=k5_numbers => k18_rvsum_1(k2_liouvil1(A, B))=k4_series_1(k1_liouvil1(A, k2_finseq_1(B)))) ) ) ) ) ).
fof(t19_liouvil1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) => k4_finseq_1(k2_liouvil1(A, B))=k2_finseq_1(B)) ) ) ) ).
fof(t20_liouvil1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) => k8_finseq_1(k1_numbers, k2_liouvil1(A, B), k12_finseq_1(k1_numbers, k3_funct_2(k4_ordinal1, k1_numbers, A, k1_nat_1(B, 1))))=k2_liouvil1(A, k1_nat_1(B, 1))) ) ) ) ).
fof(t21_liouvil1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) =>  (k3_funct_2(k4_ordinal1, k1_numbers, A, k5_numbers)=k5_numbers => k18_rvsum_1(k2_liouvil1(A, B))=k8_nat_1(k1_numbers, k3_series_1(A), B)) ) ) ) ) ).
fof(t22_liouvil1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) =>  (k3_funct_2(k4_ordinal1, k1_numbers, A, k5_numbers)=k5_numbers => k4_series_1(k1_liouvil1(A, k2_finseq_1(B)))=k8_nat_1(k1_numbers, k3_series_1(A), B)) ) ) ) ) ).
fof(t23_liouvil1, axiom,  (! [A] :  ( (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (k3_funct_2(k4_ordinal1, k1_numbers, A, k5_numbers)=k5_numbers => v1_int_1(k4_series_1(k1_liouvil1(A, k2_finseq_1(B))))) ) ) ) ) ).
fof(t24_liouvil1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (v1_series_1(A) & k3_funct_2(k4_ordinal1, k1_numbers, A, k5_numbers)=k5_numbers)  => k4_series_1(A)=k2_xcmplx_0(k18_rvsum_1(k2_liouvil1(A, B)), k4_series_1(k7_nat_1(k1_numbers, A, k1_nat_1(B, 1))))) ) ) ) ) ).
fof(d3_liouvil1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_liouvil1(A) <=>  (! [B] :  (v7_ordinal1(B) =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(B, C) &  ~ (k8_nat_1(k1_numbers, A, C)=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(t25_liouvil1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v1_liouvil1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  (v7_ordinal1(B) => v1_liouvil1(k7_nat_1(k1_numbers, A, B))) ) ) ) ).
fof(d4_liouvil1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (B=k3_liouvil1(A) <=>  (! [C] :  (v7_ordinal1(C) => k8_nat_1(k1_numbers, B, C)=k7_xcmplx_0(1, k5_series_1(A, k7_newton(C)))) ) ) ) ) ) ) ).
fof(t26_liouvil1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(1, A) => r1_xxreal_0(k8_nat_1(k1_numbers, k3_liouvil1(A), B), k8_nat_1(k1_numbers, k1_prepower(k7_xcmplx_0(1, A)), B))) ) ) ) ) ).
fof(t27_liouvil1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, 1))  =>  (v1_series_1(k3_liouvil1(A)) & r1_xxreal_0(k4_series_1(k3_liouvil1(A)), k7_xcmplx_0(A, k6_xcmplx_0(A, 1)))) ) ) ) ).
fof(t28_liouvil1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(B, 1))  &  (r1_xxreal_0(1, A) & r1_xxreal_0(k7_xcmplx_0(1, k5_series_1(k5_series_1(B, k7_newton(A)), A)), k4_series_1(k26_valued_1(k4_ordinal1, k1_numbers, k7_nat_1(k1_numbers, k3_liouvil1(B), k1_nat_1(A, 1)), k6_xcmplx_0(B, 1))))) ) ) ) ) ) ) ).
fof(d5_liouvil1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v2_liouvil1(A) <=>  (! [B] :  (v7_ordinal1(B) =>  (? [C] :  (v1_int_1(C) &  (? [D] :  (v7_ordinal1(D) &  ( ~ (r1_xxreal_0(D, 1))  &  ( ~ (r1_xxreal_0(k9_complex1(k6_xcmplx_0(A, k7_xcmplx_0(C, D))), k5_numbers))  &  ~ (r1_xxreal_0(k7_xcmplx_0(1, k1_newton(D, B)), k9_complex1(k6_xcmplx_0(A, k7_xcmplx_0(C, D))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_liouvil1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v2_liouvil1(A) <=>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (? [C] :  (v1_int_1(C) &  (? [D] :  (v7_ordinal1(D) &  ( ~ (r1_xxreal_0(D, 1))  &  ( ~ (r1_xxreal_0(k9_complex1(k6_xcmplx_0(A, k7_xcmplx_0(C, D))), k5_numbers))  &  ~ (r1_xxreal_0(k7_xcmplx_0(1, k1_newton(D, B)), k9_complex1(k6_xcmplx_0(A, k7_xcmplx_0(C, D))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_liouvil1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (C=k4_liouvil1(A, B) <=>  (k3_funct_2(k4_ordinal1, k1_numbers, C, k5_numbers)=k5_numbers &  (! [D] :  ( (v7_ordinal1(D) &  ~ (v8_ordinal1(D)) )  => k8_nat_1(k1_numbers, C, D)=k7_xcmplx_0(k8_nat_1(k1_numbers, A, D), k5_series_1(B, k7_newton(D)))) ) ) ) ) ) ) ) ) ) ).
fof(d7_liouvil1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) => k5_liouvil1(A, B)=k4_series_1(k4_liouvil1(A, B))) ) ) ) ).
fof(d8_liouvil1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (B=k6_liouvil1(A) <=>  (! [C] :  (v7_ordinal1(C) => k8_nat_1(k1_numbers, B, C)=k5_series_1(A, k7_newton(C))) ) ) ) ) ) ) ).
fof(d9_liouvil1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (C=k7_liouvil1(A, B) <=>  (! [D] :  (v7_ordinal1(D) => k8_nat_1(k1_numbers, C, D)=k3_xcmplx_0(k8_nat_1(k1_numbers, k6_liouvil1(B), D), k4_series_1(k1_liouvil1(k4_liouvil1(A, B), k2_finseq_1(D))))) ) ) ) ) ) ) ) ) ).
fof(t30_liouvil1, axiom,  (! [A] :  ( (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(D, C) =>  (r1_xxreal_0(B, k5_numbers) | v1_int_1(k3_xcmplx_0(k8_nat_1(k1_numbers, k4_liouvil1(A, B), D), k8_nat_1(k1_numbers, k6_liouvil1(B), C)))) ) ) ) ) ) ) ) ) ) ).
fof(t31_liouvil1, axiom,  (! [A] :  ( (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  => v1_int_1(k8_nat_1(k1_numbers, k7_liouvil1(A, B), C))) ) ) ) ) ) ) ).
fof(t32_liouvil1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  ~ ( ( ~ (r1_xxreal_0(B, 1))  & r1_xxreal_0(k8_nat_1(k1_numbers, k6_liouvil1(B), A), 1)) ) ) ) ) ) ).
fof(t33_liouvil1, axiom,  (! [A] :  ( (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  ( (r1_xxreal_0(2, B) & r1_tarski(k1_rvsum_1(A), B))  => v1_series_1(k4_liouvil1(A, B))) ) ) ) ) ).
fof(t34_liouvil1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  ( ~ (r1_xxreal_0(C, 1))  => k7_xcmplx_0(k8_nat_1(k1_numbers, k7_liouvil1(A, C), B), k8_nat_1(k1_numbers, k6_liouvil1(C), B))=k18_rvsum_1(k2_liouvil1(k4_liouvil1(A, C), B))) ) ) ) ) ) ) ).
fof(t35_liouvil1, axiom,  (! [A] :  ( (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B))  =>  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k5_numbers, k8_nat_1(k1_numbers, k4_liouvil1(A, B), C))) ) ) ) ) ) ).
fof(t36_liouvil1, axiom,  (! [A] :  ( (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v1_partfun3(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B))  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  ~ (r1_xxreal_0(k8_nat_1(k1_numbers, k4_liouvil1(A, B), C), k5_numbers)) ) ) ) ) ) ) ).
fof(t37_liouvil1, axiom,  (! [A] :  ( (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(2, B) &  (r1_xxreal_0(1, C) &  (r1_tarski(k1_rvsum_1(A), C) & r1_xxreal_0(C, B)) ) )  =>  (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k8_nat_1(k1_numbers, k4_liouvil1(A, B), D), k8_nat_1(k1_numbers, k26_valued_1(k4_ordinal1, k1_numbers, k3_liouvil1(B), k6_xcmplx_0(C, 1)), D))) ) ) ) ) ) ) ) ) ).
fof(t38_liouvil1, axiom,  (! [A] :  ( (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(2, B) &  (r1_xxreal_0(1, C) &  (r1_tarski(k1_rvsum_1(A), C) & r1_xxreal_0(C, B)) ) )  => r1_xxreal_0(k4_series_1(k4_liouvil1(A, B)), k4_series_1(k26_valued_1(k4_ordinal1, k1_numbers, k3_liouvil1(B), k6_xcmplx_0(C, 1))))) ) ) ) ) ) ) ).
fof(t39_liouvil1, axiom,  (! [A] :  ( (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(2, B) &  (r1_xxreal_0(1, C) &  (r1_tarski(k1_rvsum_1(A), C) & r1_xxreal_0(C, B)) ) )  => r1_xxreal_0(k4_series_1(k7_nat_1(k1_numbers, k4_liouvil1(A, B), k1_nat_1(D, 1))), k4_series_1(k26_valued_1(k4_ordinal1, k1_numbers, k7_nat_1(k1_numbers, k3_liouvil1(B), k1_nat_1(D, 1)), k6_xcmplx_0(C, 1))))) ) ) ) ) ) ) ) ) ).
fof(t40_liouvil1, axiom,  (! [A] :  ( (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B))  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (v1_liouvil1(A) &  (r1_tarski(k1_rvsum_1(A), B) & r1_xxreal_0(k4_series_1(k7_nat_1(k1_numbers, k4_liouvil1(A, B), k1_nat_1(C, 1))), k5_numbers)) ) ) ) ) ) ) ) ) ).
fof(t41_liouvil1, axiom,  (! [A] :  ( (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B))  =>  ( (r1_tarski(k1_rvsum_1(A), B) & v1_liouvil1(A))  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (? [D] :  (v1_int_1(D) &  (? [E] :  (v7_ordinal1(E) &  ( ~ (r1_xxreal_0(E, 1))  &  ( ~ (r1_xxreal_0(k9_complex1(k6_xcmplx_0(k5_liouvil1(A, B), k7_xcmplx_0(D, E))), k5_numbers))  &  ~ (r1_xxreal_0(k7_xcmplx_0(1, k1_newton(E, C)), k9_complex1(k6_xcmplx_0(k5_liouvil1(A, B), k7_xcmplx_0(D, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_liouvil1, axiom, k8_liouvil1=k5_liouvil1(k1_seq_1(1), 10)).
fof(t42_liouvil1, axiom,  (! [A] :  ( (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B))  =>  ( (r1_tarski(k1_rvsum_1(A), B) & v1_liouvil1(A))  => v2_liouvil1(k5_liouvil1(A, B))) ) ) ) ) ).
fof(t43_liouvil1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  => k8_nat_1(k1_numbers, k4_liouvil1(k1_seq_1(1), A), B)=k2_power(A, k4_xcmplx_0(k7_newton(B)))) ) ) ) ).
fof(t44_liouvil1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, 1))  => v2_asympt_3(k4_liouvil1(k1_seq_1(1), A))) ) ) ).
fof(t45_liouvil1, axiom,  ( ~ (r1_xxreal_0(k8_liouvil1, k7_xcmplx_0(1, 10)))  & r1_xxreal_0(k8_liouvil1, k6_xcmplx_0(k7_xcmplx_0(10, 9), k7_xcmplx_0(1, 10)))) ).
fof(t46_liouvil1, axiom,  (! [A] :  ( (v1_xreal_0(A) & v2_liouvil1(A))  =>  (! [B] :  (v1_int_1(B) => v2_liouvil1(k2_xcmplx_0(B, A))) ) ) ) ).
fof(dt_k1_liouvil1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  & m1_subset_1(B, k1_zfmisc_1(k4_ordinal1)))  =>  (v1_funct_1(k1_liouvil1(A, B)) &  (v1_funct_2(k1_liouvil1(A, B), k4_ordinal1, k1_numbers) & m1_subset_1(k1_liouvil1(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k2_liouvil1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  & v7_ordinal1(B))  => m2_finseq_1(k2_liouvil1(A, B), k1_numbers)) ) ).
fof(dt_k3_liouvil1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_funct_1(k3_liouvil1(A)) &  (v1_funct_2(k3_liouvil1(A), k4_ordinal1, k1_numbers) & m1_subset_1(k3_liouvil1(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k4_liouvil1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  & v7_ordinal1(B))  =>  (v1_funct_1(k4_liouvil1(A, B)) &  (v1_funct_2(k4_liouvil1(A, B), k4_ordinal1, k1_numbers) & m1_subset_1(k4_liouvil1(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k5_liouvil1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  & v7_ordinal1(B))  => v1_xreal_0(k5_liouvil1(A, B))) ) ).
fof(dt_k6_liouvil1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_funct_1(k6_liouvil1(A)) &  (v1_funct_2(k6_liouvil1(A), k4_ordinal1, k1_numbers) & m1_subset_1(k6_liouvil1(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k7_liouvil1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  & v7_ordinal1(B))  =>  (v1_funct_1(k7_liouvil1(A, B)) &  (v1_funct_2(k7_liouvil1(A, B), k4_ordinal1, k1_numbers) & m1_subset_1(k7_liouvil1(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k8_liouvil1, axiom, v1_xreal_0(k8_liouvil1)).
fof(dt_k9_liouvil1, axiom, m1_subset_1(k9_liouvil1, k1_zfmisc_1(k1_numbers))).
fof(d11_liouvil1, axiom, k9_liouvil1=a_0_0_liouvil1).
fof(fraenkel_a_0_0_liouvil1, axiom,  (! [A] :  (r2_hidden(A, a_0_0_liouvil1) <=>  (? [B] :  ( (v1_xreal_0(B) & v2_liouvil1(B))  & A=B) ) ) ) ).
fof(fc1_liouvil2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_valued_0(A)) ) )  =>  (v1_relat_1(k54_valued_1(A)) &  (v1_funct_1(k54_valued_1(A)) &  ( ~ (v1_xboole_0(k54_valued_1(A)))  & v3_valued_0(k54_valued_1(A))) ) ) ) ) ).
fof(fc2_liouvil2, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v7_ordinal1(B))  => v2_xxreal_2(k1_xxreal_1(k6_xcmplx_0(A, B), k2_xcmplx_0(A, B)))) ) ).
fof(fc3_liouvil2, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v2_measure5(k1_xxreal_1(A, B))) ) ).
fof(rc1_liouvil2, axiom,  (? [A] :  (m1_subset_1(A, u1_struct_0(k2_vectsp_1)) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_xxreal_0(A) &  ~ (v1_rat_1(A)) ) ) ) ) ) ).
fof(cc1_liouvil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_c0sp1(B, A) =>  ~ (v6_struct_0(B)) ) ) ) ) ).
fof(rc2_liouvil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_c0sp1(B, A) &  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v5_algstr_0(B) &  (v6_algstr_0(B) &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_vectsp_1(B) &  (v2_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v1_algstr_1(B) &  (v2_algstr_1(B) &  (v3_algstr_1(B) & v4_algstr_1(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc4_liouvil2, axiom,  (v5_relat_1(k9_polynom3(k1_complfld), k4_numbers) &  (v1_funct_1(k9_polynom3(k1_complfld)) & v1_funct_2(k9_polynom3(k1_complfld), k4_ordinal1, u1_struct_0(k1_complfld))) ) ).
fof(fc5_liouvil2, axiom,  (v5_relat_1(k10_polynom3(k1_complfld), k4_numbers) &  (v1_funct_1(k10_polynom3(k1_complfld)) & v1_funct_2(k10_polynom3(k1_complfld), k4_ordinal1, u1_struct_0(k1_complfld))) ) ).
fof(cc2_liouvil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  & l6_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & v2_ratfunc1(B, A)) ) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & v1_uproots(B, A)) ) ) ) ) ) ) ) ).
fof(rc3_liouvil2, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld)))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k4_numbers) &  (v5_relat_1(A, u1_struct_0(k1_complfld)) &  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_valued_0(A) &  (v1_polynom1(A, k1_complfld) & v2_ratfunc1(A, k1_complfld)) ) ) ) ) ) ) ) ) ) ).
fof(rc4_liouvil2, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld)))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k3_numbers) &  (v5_relat_1(A, u1_struct_0(k1_complfld)) &  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_valued_0(A) &  (v1_polynom1(A, k1_complfld) & v2_ratfunc1(A, k1_complfld)) ) ) ) ) ) ) ) ) ) ).
fof(rc5_liouvil2, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld)))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k1_numbers) &  (v5_relat_1(A, u1_struct_0(k1_complfld)) &  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_valued_0(A) &  (v1_polynom1(A, k1_complfld) & v2_ratfunc1(A, k1_complfld)) ) ) ) ) ) ) ) ) ) ).
fof(cc3_liouvil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & v1_uproots(B, A)) ) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & v1_uproots(B, A)) ) ) ) ) ) ) ) ).
fof(cc4_liouvil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  ~ (v1_uproots(B, A)) ) ) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  ~ (v1_uproots(B, A)) ) ) ) ) ) ) ) ) ).
fof(cc5_liouvil2, axiom,  (! [A] :  ( (v1_xcmplx_0(A) & v2_algnum_1(A))  =>  (v1_xcmplx_0(A) & v1_algnum_1(A)) ) ) ).
fof(cc6_liouvil2, axiom,  (! [A] :  ( (v1_xcmplx_0(A) &  ~ (v1_algnum_1(A)) )  =>  (v1_xcmplx_0(A) &  ~ (v2_algnum_1(A)) ) ) ) ).
fof(cc7_liouvil2, axiom,  (! [A] :  ( (v1_xreal_0(A) & v2_liouvil1(A))  =>  (v1_xreal_0(A) &  ( ~ (v1_algnum_1(A))  & v2_liouvil1(A)) ) ) ) ).
fof(t1_liouvil2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(2, A) =>  (! [B] :  (v1_xreal_0(B) =>  (? [C] :  ( (v7_ordinal1(C) & v2_xxreal_0(C))  & r1_xxreal_0(B, k1_newton(A, C))) ) ) ) ) ) ) ).
fof(t2_liouvil2, axiom,  (! [A] :  ( (v1_xreal_0(A) & v2_xxreal_0(A))  =>  (? [B] :  ( (v7_ordinal1(B) & v2_xxreal_0(B))  & r1_xxreal_0(k7_xcmplx_0(1, k1_newton(2, B)), A)) ) ) ) ).
fof(t3_liouvil2, axiom, m1_c0sp1(k2_vectsp_1, k1_complfld)).
fof(t4_liouvil2, axiom, m1_c0sp1(k11_gaussint, k2_vectsp_1)).
fof(t5_liouvil2, axiom, m1_c0sp1(k1_int_3, k2_vectsp_1)).
fof(t6_liouvil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_c0sp1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => m1_subset_1(C, u1_struct_0(A))) ) ) ) ) ) ).
fof(t7_liouvil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_c0sp1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ) ) ) ) ) ).
fof(t8_liouvil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_c0sp1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (C=D => k1_algseq_1(B, C)=k1_algseq_1(A, D)) ) ) ) ) ) ) ) ) ).
fof(t9_liouvil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_c0sp1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (C=D => k2_ratfunc1(B, C)=k2_ratfunc1(A, D)) ) ) ) ) ) ) ) ) ).
fof(t10_liouvil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_c0sp1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(D, A) &  (v2_ratfunc1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (C=D => v2_ratfunc1(C, B)) ) ) ) ) ) ) ) ) ).
fof(t11_liouvil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v6_struct_0(B))  & m1_c0sp1(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(C, B) &  (v2_ratfunc1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (C=D => v2_ratfunc1(D, A)) ) ) ) ) ) ) ) ) ).
fof(t12_liouvil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_c0sp1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(D, A) &  (v1_uproots(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (C=D => v1_uproots(C, B)) ) ) ) ) ) ) ) ) ).
fof(t13_liouvil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_c0sp1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(C, B) &  (v1_uproots(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (C=D => v1_uproots(D, A)) ) ) ) ) ) ) ) ) ).
fof(t14_liouvil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  (m1_c0sp1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(E, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (D=E =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => k1_algnum_1(C, B, D, k9_struct_0(F, B))=k1_algnum_1(A, B, E, k9_struct_0(F, B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_liouvil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_c0sp1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (D=E => k1_algnum_1(B, A, C, D)=k1_algnum_1(B, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_liouvil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_c0sp1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  ( (C=D & r1_algnum_1(B, B, D))  => r1_algnum_1(A, A, C)) ) ) ) ) ) ) ) ) ).
fof(t17_liouvil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_c0sp1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(E, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(F, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) )  =>  ( (C=D &  (E=F & r1_polynom5(A, E, C)) )  => r1_polynom5(B, F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_liouvil2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  => m1_c0sp1(A, A)) ) ).
fof(t19_liouvil2, axiom,  (! [A] :  ( (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) ) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_int_3)) &  (v1_polynom1(A, k1_int_3) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_int_3))))) ) ) ) ) ).
fof(t20_liouvil2, axiom,  (! [A] :  ( (v5_relat_1(A, k3_numbers) &  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) ) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k11_gaussint)) &  (v1_polynom1(A, k11_gaussint) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k11_gaussint))))) ) ) ) ) ).
fof(t21_liouvil2, axiom,  (! [A] :  ( (v5_relat_1(A, k1_numbers) &  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) ) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k2_vectsp_1)) &  (v1_polynom1(A, k2_vectsp_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) ) ) ) ) ).
fof(t22_liouvil2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k4_numbers) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  =>  (r2_hidden(A, k1_rvsum_1(B)) => r1_int_1(A, k19_rvsum_1(B))) ) ) ) ) ).
fof(t23_liouvil2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  ( ~ ( ( (? [B] :  ( (v5_relat_1(B, k4_numbers) &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(B, k1_complfld) &  (v1_uproots(B, k1_complfld) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) ) ) )  & r1_polynom5(k1_complfld, B, A)) )  &  (! [B] :  ( (v5_relat_1(B, k3_numbers) &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(B, k1_complfld) &  (v2_ratfunc1(B, k1_complfld) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) ) ) )  =>  ~ (r1_polynom5(k1_complfld, B, A)) ) ) ) )  &  ~ ( ( (? [B] :  ( (v5_relat_1(B, k3_numbers) &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(B, k1_complfld) &  (v2_ratfunc1(B, k1_complfld) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) ) ) )  & r1_polynom5(k1_complfld, B, A)) )  &  (! [B] :  ( (v5_relat_1(B, k4_numbers) &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(B, k1_complfld) &  (v1_uproots(B, k1_complfld) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) ) ) )  =>  ~ (r1_polynom5(k1_complfld, B, A)) ) ) ) ) ) ) ) ).
fof(t24_liouvil2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (v1_algnum_1(A) <=>  (? [B] :  ( (v5_relat_1(B, k3_numbers) &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(B, k1_complfld) &  (v2_ratfunc1(B, k1_complfld) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) ) ) )  & r1_polynom5(k1_complfld, B, A)) ) ) ) ) ).
fof(t25_liouvil2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (v1_algnum_1(A) <=>  (? [B] :  ( (v5_relat_1(B, k4_numbers) &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(B, k1_complfld) &  (v1_uproots(B, k1_complfld) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) ) ) )  & r1_polynom5(k1_complfld, B, A)) ) ) ) ) ).
fof(t26_liouvil2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (v2_algnum_1(A) <=>  (? [B] :  ( (v5_relat_1(B, k4_numbers) &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(B, k1_complfld) &  (v2_ratfunc1(B, k1_complfld) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) ) ) )  & r1_polynom5(k1_complfld, B, A)) ) ) ) ) ).
fof(t27_liouvil2, axiom,  (! [A] :  ( (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k2_vectsp_1)) &  (v1_polynom1(A, k2_vectsp_1) &  (v1_uproots(A, k2_vectsp_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_rat_1(B))  & m1_subset_1(B, u1_struct_0(k2_vectsp_1)))  =>  ~ ( (r1_polynom5(k2_vectsp_1, A, B) &  (! [C] :  ( (v1_xreal_0(C) & v2_xxreal_0(C))  =>  (? [D] :  (v1_int_1(D) &  (? [E] :  ( (v7_ordinal1(E) & v2_xxreal_0(E))  & r1_xxreal_0(k9_complex1(k6_xcmplx_0(B, k7_xcmplx_0(D, E))), k7_xcmplx_0(C, k1_newton(E, k1_algseq_1(k2_vectsp_1, A))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_lmod_6, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  (m1_vectsp_4(C, A, B) &  ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(C)))) ) ) )  =>  ~ (v1_xboole_0(k2_lmod_6(A, B, C, D))) ) ) ).
fof(t1_lmod_6, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, B) &  (v9_vectsp_1(C, B) &  (v10_vectsp_1(C, B) &  (v11_vectsp_1(C, B) & l1_vectsp_1(C, B)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v8_vectsp_1(D, B) &  (v9_vectsp_1(D, B) &  (v10_vectsp_1(D, B) &  (v11_vectsp_1(D, B) & l1_vectsp_1(D, B)) ) ) ) ) ) ) ) )  =>  (C=g1_vectsp_1(B, u1_struct_0(D), u1_algstr_0(D), u2_struct_0(D), u1_vectsp_1(B, D)) =>  (r1_struct_0(C, A) <=> r1_struct_0(D, A)) ) ) ) ) ) ) ) ) ).
fof(t2_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(g1_vectsp_1(A, u1_struct_0(C), u1_algstr_0(C), u2_struct_0(C), u1_vectsp_1(A, C)))) =>  (D=E => k3_vectsp_1(A, C, B, D)=k3_vectsp_1(A, g1_vectsp_1(A, u1_struct_0(C), u1_algstr_0(C), u2_struct_0(C), u1_vectsp_1(A, C)), B, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (v7_vectsp_1(g1_vectsp_1(A, u1_struct_0(B), u1_algstr_0(B), u2_struct_0(B), u1_vectsp_1(A, B)), A) & m1_vectsp_4(g1_vectsp_1(A, u1_struct_0(B), u1_algstr_0(B), u2_struct_0(B), u1_vectsp_1(A, B)), A, B)) ) ) ) ) ).
fof(t4_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  => m1_vectsp_4(B, A, k2_vectsp_4(A, B))) ) ) ) ).
fof(d1_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (v7_struct_0(A) <=> k4_struct_0(A)=k1_group_1(A)) ) ) ).
fof(t5_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (v7_struct_0(A) =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => C=k4_struct_0(A)) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => C=k4_struct_0(B)) ) ) ) ) ) ) ) ).
fof(t6_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (v7_struct_0(A) => v7_struct_0(B)) ) ) ) ) ).
fof(t7_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (v7_struct_0(B) <=> g1_vectsp_1(A, u1_struct_0(B), u1_algstr_0(B), u2_struct_0(B), u1_vectsp_1(A, B))=k1_vectsp_4(A, B)) ) ) ) ) ).
fof(d2_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v7_vectsp_1(C, A) & m1_vectsp_4(C, A, B))  => k1_lmod_6(A, B, C)=C) ) ) ) ) ) ).
fof(t8_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(C))) => m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) ) ) ) ) ) ) ).
fof(d3_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(C))) => k2_lmod_6(A, B, C, D)=D) ) ) ) ) ) ) ) ).
fof(t9_lmod_6, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, B) &  (v9_vectsp_1(C, B) &  (v10_vectsp_1(C, B) &  (v11_vectsp_1(C, B) & l1_vectsp_1(C, B)) ) ) ) ) ) ) ) )  =>  (r2_tarski(A, k2_struct_0(C)) <=> r1_struct_0(C, A)) ) ) ) ) ) ).
fof(t10_lmod_6, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, B) &  (v9_vectsp_1(C, B) &  (v10_vectsp_1(C, B) &  (v11_vectsp_1(C, B) & l1_vectsp_1(C, B)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_vectsp_4(D, B, C) =>  (r2_tarski(A, k2_lmod_6(B, C, D, k2_struct_0(D))) <=> r1_struct_0(D, A)) ) ) ) ) ) ) ) ).
fof(t11_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) => r1_tarski(C, k2_struct_0(k1_vectsp_7(A, B, C)))) ) ) ) ) ) ).
fof(t12_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m2_vectsp_6(D, A, B, C) =>  (v1_vectsp_4(C, A, B) =>  (C=k1_xboole_0 | r2_tarski(k4_vectsp_6(A, B, D), C)) ) ) ) ) ) ) ) ) ) ).
fof(t13_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  ( (r2_tarski(k4_struct_0(B), C) & v1_vectsp_4(C, A, B))  => C=k2_struct_0(k1_vectsp_7(A, B, C))) ) ) ) ) ) ) ).
fof(d4_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k3_lmod_6(A, B, C)=k1_vectsp_7(A, B, k6_domain_1(u1_struct_0(B), C))) ) ) ) ) ) ).
fof(d5_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (r1_lmod_6(A, B, C) <=> m1_vectsp_4(B, A, C)) ) ) ) ) ) ) ).
fof(t14_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  (r1_lmod_6(A, B, C) =>  ( (r1_struct_0(B, D) => r1_struct_0(C, D))  &  (m1_subset_1(D, u1_struct_0(B)) => m1_subset_1(D, u1_struct_0(C))) ) ) ) ) ) ) ) ) ) ).
fof(t15_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v8_vectsp_1(D, A) &  (v9_vectsp_1(D, A) &  (v10_vectsp_1(D, A) &  (v11_vectsp_1(D, A) & l1_vectsp_1(D, A)) ) ) ) ) ) ) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(C)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(D)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(D)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(D)) =>  (r1_lmod_6(A, C, D) =>  (k4_struct_0(C)=k4_struct_0(D) &  ( ( (F=I & G=J)  => k1_algstr_0(C, F, G)=k1_algstr_0(D, I, J))  &  ( (E=H => k3_vectsp_1(A, C, B, E)=k3_vectsp_1(A, D, B, H))  &  ( (E=H => k4_algstr_0(D, H)=k4_algstr_0(C, E))  &  ( ( (F=I & G=J)  => k5_algstr_0(C, F, G)=k5_algstr_0(D, I, J))  &  (r1_struct_0(C, k4_struct_0(D)) &  (r1_struct_0(D, k4_struct_0(C)) &  ( ( (r1_struct_0(C, I) & r1_struct_0(C, J))  => r1_struct_0(C, k1_algstr_0(D, I, J)))  &  ( (r1_struct_0(C, H) => r1_struct_0(C, k3_vectsp_1(A, D, B, H)))  &  ( (r1_struct_0(C, H) => r1_struct_0(C, k4_algstr_0(D, H)))  &  ( (r1_struct_0(C, I) & r1_struct_0(C, J))  => r1_struct_0(C, k5_algstr_0(D, I, J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v8_vectsp_1(D, A) &  (v9_vectsp_1(D, A) &  (v10_vectsp_1(D, A) &  (v11_vectsp_1(D, A) & l1_vectsp_1(D, A)) ) ) ) ) ) ) ) )  =>  ( (r1_lmod_6(A, B, D) & r1_lmod_6(A, C, D))  =>  (k4_struct_0(B)=k4_struct_0(C) &  (r1_struct_0(C, k4_struct_0(B)) &  ( (r1_tarski(u1_struct_0(B), u1_struct_0(C)) => r1_lmod_6(A, B, C))  &  ( ( (! [E] :  (m1_subset_1(E, u1_struct_0(D)) =>  (r1_struct_0(B, E) => r1_struct_0(C, E)) ) )  => r1_lmod_6(A, B, C))  &  ( ( (u1_struct_0(B)=u1_struct_0(C) &  (v7_vectsp_1(B, A) & v7_vectsp_1(C, A)) )  => B=C)  & r1_lmod_6(A, k1_vectsp_4(A, B), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v7_vectsp_1(B, A) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v7_vectsp_1(C, A) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  ( (r1_lmod_6(A, B, C) & r1_lmod_6(A, C, B))  => B=C) ) ) ) ) ) ) ).
fof(t18_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v8_vectsp_1(D, A) &  (v9_vectsp_1(D, A) &  (v10_vectsp_1(D, A) &  (v11_vectsp_1(D, A) & l1_vectsp_1(D, A)) ) ) ) ) ) ) ) )  =>  ( (r1_lmod_6(A, B, C) & r1_lmod_6(A, C, D))  => r1_lmod_6(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t19_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (r1_lmod_6(A, B, C) => r1_lmod_6(A, k1_vectsp_4(A, B), C)) ) ) ) ) ) ) ).
fof(t20_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (r1_lmod_6(A, B, C) => r1_lmod_6(A, k1_vectsp_4(A, C), B)) ) ) ) ) ) ) ).
fof(t21_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (r1_lmod_6(A, B, C) => r1_lmod_6(A, B, k2_vectsp_4(A, C))) ) ) ) ) ) ) ).
fof(t22_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_vectsp_4(D, A, B) =>  (r1_lmod_6(A, C, k1_vectsp_5(A, B, C, D)) & r1_lmod_6(A, D, k1_vectsp_5(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t23_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_vectsp_4(D, A, B) =>  (r1_lmod_6(A, k2_vectsp_5(A, B, C, D), C) & r1_lmod_6(A, k2_vectsp_5(A, B, C, D), D)) ) ) ) ) ) ) ) ) ).
fof(t24_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_vectsp_4(D, A, B) =>  (! [E] :  (m1_vectsp_4(E, A, B) =>  (r1_lmod_6(A, C, D) => r1_lmod_6(A, k2_vectsp_5(A, B, C, E), k2_vectsp_5(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_vectsp_4(D, A, B) =>  (! [E] :  (m1_vectsp_4(E, A, B) =>  (r1_lmod_6(A, C, E) => r1_lmod_6(A, k2_vectsp_5(A, B, C, D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_vectsp_4(D, A, B) =>  (! [E] :  (m1_vectsp_4(E, A, B) =>  ( (r1_lmod_6(A, C, D) & r1_lmod_6(A, C, E))  => r1_lmod_6(A, C, k2_vectsp_5(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_vectsp_4(D, A, B) => r1_lmod_6(A, k2_vectsp_5(A, B, C, D), k1_vectsp_5(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t28_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_vectsp_4(D, A, B) =>  (! [E] :  (m1_vectsp_4(E, A, B) => r1_lmod_6(A, k1_vectsp_5(A, B, k2_vectsp_5(A, B, C, D), k2_vectsp_5(A, B, D, E)), k2_vectsp_5(A, B, D, k1_vectsp_5(A, B, C, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t29_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_vectsp_4(D, A, B) =>  (! [E] :  (m1_vectsp_4(E, A, B) =>  (r1_lmod_6(A, C, D) => k2_vectsp_5(A, B, D, k1_vectsp_5(A, B, C, E))=k1_vectsp_5(A, B, k2_vectsp_5(A, B, C, D), k2_vectsp_5(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_vectsp_4(D, A, B) =>  (! [E] :  (m1_vectsp_4(E, A, B) => r1_lmod_6(A, k1_vectsp_5(A, B, D, k2_vectsp_5(A, B, C, E)), k2_vectsp_5(A, B, k1_vectsp_5(A, B, C, D), k1_vectsp_5(A, B, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t31_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_vectsp_4(D, A, B) =>  (! [E] :  (m1_vectsp_4(E, A, B) =>  (r1_lmod_6(A, C, D) => k1_vectsp_5(A, B, D, k2_vectsp_5(A, B, C, E))=k2_vectsp_5(A, B, k1_vectsp_5(A, B, C, D), k1_vectsp_5(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_vectsp_4(D, A, B) =>  (! [E] :  (m1_vectsp_4(E, A, B) =>  (r1_lmod_6(A, C, D) => r1_lmod_6(A, C, k1_vectsp_5(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_vectsp_4(D, A, B) =>  (! [E] :  (m1_vectsp_4(E, A, B) =>  ( (r1_lmod_6(A, C, E) & r1_lmod_6(A, D, E))  => r1_lmod_6(A, k1_vectsp_5(A, B, C, D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (r1_tarski(C, D) => r1_lmod_6(A, k1_vectsp_7(A, B, C), k1_vectsp_7(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t35_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) => r1_lmod_6(A, k1_vectsp_7(A, B, k9_subset_1(u1_struct_0(B), C, D)), k2_vectsp_5(A, B, k1_vectsp_7(A, B, C), k1_vectsp_7(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t36_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (r1_lmod_6(A, B, C) => r1_tarski(k2_struct_0(B), k2_struct_0(C))) ) ) ) ) ) ) ).
fof(t37_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_vectsp_4(D, A, B) =>  (r1_lmod_6(A, C, D) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (r1_struct_0(C, E) => r1_struct_0(D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_vectsp_4(D, A, B) =>  (r1_lmod_6(A, C, D) <=> r1_tarski(k2_struct_0(C), k2_struct_0(D))) ) ) ) ) ) ) ) ) ).
fof(t39_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_vectsp_4(D, A, B) =>  (r1_lmod_6(A, C, D) <=> r1_tarski(k2_lmod_6(A, B, C, k2_struct_0(C)), k2_lmod_6(A, B, D, k2_struct_0(D)))) ) ) ) ) ) ) ) ) ).
fof(t40_lmod_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_vectsp_4(D, A, B) =>  (! [E] :  (m1_vectsp_4(E, A, B) =>  (r1_lmod_6(A, k1_vectsp_4(A, C), B) &  (r1_lmod_6(A, k1_vectsp_4(A, B), C) & r1_lmod_6(A, k1_vectsp_4(A, D), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_lmod_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  (v7_vectsp_1(C, A) & m1_vectsp_4(C, A, B)) ) )  => m1_subset_1(k1_lmod_6(A, B, C), k3_vectsp_5(A, B))) ) ).
fof(dt_k2_lmod_6, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  (m1_vectsp_4(C, A, B) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(C)))) ) )  => m1_subset_1(k2_lmod_6(A, B, C, D), k1_zfmisc_1(u1_struct_0(B)))) ) ).
fof(dt_k3_lmod_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  & m1_subset_1(C, u1_struct_0(B))) )  =>  (v7_vectsp_1(k3_lmod_6(A, B, C), A) & m1_vectsp_4(k3_lmod_6(A, B, C), A, B)) ) ) ).
fof(reflexivity_r1_lmod_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) ) )  => r1_lmod_6(A, B, B)) ) ).
fof(rc1_lmod_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  & m1_lmod_7(C, A, B)) )  =>  (? [D] :  (m1_subset_1(D, C) &  ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v7_vectsp_1(D, A) &  (v8_vectsp_1(D, A) &  (v9_vectsp_1(D, A) &  (v10_vectsp_1(D, A) &  (v11_vectsp_1(D, A) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) & v4_rlvect_1(D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_lmod_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  & m1_vectsp_4(C, A, B)) )  =>  ~ (v1_xboole_0(k7_lmod_7(A, B, C))) ) ) ).
fof(fc2_lmod_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  & m1_vectsp_4(C, A, B)) )  =>  ( ~ (v2_struct_0(k13_lmod_7(A, B, C)))  & v8_algstr_0(k13_lmod_7(A, B, C))) ) ) ).
fof(fc3_lmod_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  & m1_vectsp_4(C, A, B)) )  =>  (v8_algstr_0(k13_lmod_7(A, B, C)) &  (v13_algstr_0(k13_lmod_7(A, B, C)) &  (v2_rlvect_1(k13_lmod_7(A, B, C)) &  (v3_rlvect_1(k13_lmod_7(A, B, C)) & v4_rlvect_1(k13_lmod_7(A, B, C))) ) ) ) ) ) ).
fof(fc4_lmod_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  & m1_vectsp_4(C, A, B)) )  =>  ( ~ (v2_struct_0(k17_lmod_7(A, B, C)))  & v7_vectsp_1(k17_lmod_7(A, B, C), A)) ) ) ).
fof(fc5_lmod_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  & m1_vectsp_4(C, A, B)) )  =>  (v7_vectsp_1(k17_lmod_7(A, B, C), A) &  (v8_vectsp_1(k17_lmod_7(A, B, C), A) &  (v9_vectsp_1(k17_lmod_7(A, B, C), A) &  (v10_vectsp_1(k17_lmod_7(A, B, C), A) & v11_vectsp_1(k17_lmod_7(A, B, C), A)) ) ) ) ) ) ).
fof(t1_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  ~ ( ( ~ (v7_struct_0(A))  &  (v1_vectsp_7(C, A, B) & r2_tarski(k4_struct_0(B), C)) ) ) ) ) ) ) ) ) ).
fof(t2_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (! [E] :  (m2_vectsp_6(E, A, B, D) =>  ( ~ (r2_tarski(C, D))  => k3_funct_2(u1_struct_0(B), u1_struct_0(A), E, C)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (v7_struct_0(A) =>  ( (! [D] :  (m2_vectsp_6(D, A, B, C) => k1_vectsp_6(A, B, D)=k1_xboole_0) )  & v7_struct_0(k1_vectsp_7(A, B, C))) ) ) ) ) ) ) ) ).
fof(t4_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  ( ~ (v7_struct_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  ~ ( (v2_vectsp_7(C, A, B) & C=k1_xboole_0) ) ) ) ) ) ) ) ) ).
fof(t5_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  ( (v1_vectsp_7(k4_subset_1(u1_struct_0(B), C, D), A, B) & r1_xboole_0(C, D))  => k2_vectsp_5(A, B, k1_vectsp_7(A, B, C), k1_vectsp_7(A, B, D))=k1_vectsp_4(A, B)) ) ) ) ) ) ) ) ) ).
fof(t6_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) =>  ( (v2_vectsp_7(C, A, B) &  (C=k4_subset_1(u1_struct_0(B), D, E) & r1_xboole_0(D, E)) )  => r1_vectsp_5(A, B, k1_vectsp_7(A, B, D), k1_vectsp_7(A, B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (m1_lmod_7(C, A, B) <=>  (! [D] :  (r2_tarski(D, C) =>  (v7_vectsp_1(D, A) & m1_vectsp_4(D, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(d2_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  ( ~ (v7_struct_0(B))  =>  (! [C] :  ( (v7_vectsp_1(C, A) & m1_vectsp_4(C, A, B))  =>  (m3_lmod_7(C, A, B) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  ( ~ (D=k4_struct_0(B))  & C=k3_lmod_6(A, B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (m4_lmod_7(C, A, B) <=>  (! [D] :  (r2_tarski(D, C) => m3_lmod_7(D, A, B)) ) ) ) ) ) ) ) ) ).
fof(d4_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m4_lmod_7(C, A, B) =>  (C=k2_lmod_7(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=> m3_lmod_7(D, A, B)) ) ) ) ) ) ) ) ) ).
fof(d5_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (v3_vectsp_7(B, A) =>  (v7_struct_0(B) |  (! [C] :  ( (v7_vectsp_1(C, A) & m1_vectsp_4(C, A, B))  =>  (m6_lmod_7(C, A, B) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  ( ~ (D=k4_struct_0(B))  & r1_vectsp_5(A, B, k3_lmod_6(A, B, D), C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (m7_lmod_7(C, A, B) <=>  (! [D] :  (r2_tarski(D, C) => m6_lmod_7(D, A, B)) ) ) ) ) ) ) ) ) ).
fof(d7_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m7_lmod_7(C, A, B) =>  (C=k3_lmod_7(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=> m6_lmod_7(D, A, B)) ) ) ) ) ) ) ) ) ).
fof(d8_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, k3_vectsp_5(A, B)) => k4_lmod_7(A, B, C)=k1_finsop_1(k3_vectsp_5(A, B), C, k5_vectsp_5(A, B))) ) ) ) ) ) ).
fof(d9_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, k3_vectsp_5(A, B)) => k5_lmod_7(A, B, C)=k1_finsop_1(k3_vectsp_5(A, B), C, k6_vectsp_5(A, B))) ) ) ) ) ) ).
fof(t7_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (v1_binop_1(k5_vectsp_5(A, B), k3_vectsp_5(A, B)) &  (v2_binop_1(k5_vectsp_5(A, B), k3_vectsp_5(A, B)) &  (v1_setwiseo(k5_vectsp_5(A, B), k3_vectsp_5(A, B)) & k1_vectsp_4(A, B)=k3_binop_1(k3_vectsp_5(A, B), k5_vectsp_5(A, B))) ) ) ) ) ) ) ).
fof(t8_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (v1_binop_1(k6_vectsp_5(A, B), k3_vectsp_5(A, B)) &  (v2_binop_1(k6_vectsp_5(A, B), k3_vectsp_5(A, B)) &  (v1_setwiseo(k6_vectsp_5(A, B), k3_vectsp_5(A, B)) & k2_vectsp_4(A, B)=k3_binop_1(k3_vectsp_5(A, B), k6_vectsp_5(A, B))) ) ) ) ) ) ) ).
fof(d10_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) =>  (E=k6_lmod_7(A, B, C, D) <=>  (! [F] :  (r2_tarski(F, E) <=>  (? [G] :  (m1_subset_1(G, u1_struct_0(B)) &  (? [H] :  (m1_subset_1(H, u1_struct_0(B)) &  (r2_tarski(G, C) &  (r2_tarski(H, D) & F=k3_rlvect_1(B, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  ( ~ (C=k1_xboole_0)  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (m9_lmod_7(D, A, B, C) <=> m1_subset_1(D, C)) ) ) ) ) ) ) ) ) ) ).
fof(t9_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (r1_tarski(C, D) =>  (C=k1_xboole_0 |  (! [E] :  (m9_lmod_7(E, A, B, C) => m9_lmod_7(E, A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_vectsp_4(E, A, B) =>  (r2_tarski(D, k3_vectsp_4(A, B, C, E)) <=> r1_struct_0(E, k5_algstr_0(B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_vectsp_4(E, A, B) =>  (k3_vectsp_4(A, B, C, E)=k3_vectsp_4(A, B, D, E) <=> r1_struct_0(E, k5_algstr_0(B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (D=k7_lmod_7(A, B, C) <=>  (! [E] :  (r2_tarski(E, D) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) & E=k3_vectsp_4(A, B, F, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k8_lmod_7(A, B, C, D)=k3_vectsp_4(A, B, D, C)) ) ) ) ) ) ) ) ).
fof(t12_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_subset_1(D, k7_lmod_7(A, B, C)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) & D=k8_lmod_7(A, B, C, E)) ) ) ) ) ) ) ) ) ) ).
fof(t13_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_vectsp_4(E, A, B) =>  (k8_lmod_7(A, B, E, C)=k8_lmod_7(A, B, E, D) <=> r1_struct_0(E, k5_algstr_0(B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_subset_1(D, k7_lmod_7(A, B, C)) =>  (! [E] :  (m1_subset_1(E, k7_lmod_7(A, B, C)) =>  (E=k9_lmod_7(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (D=k8_lmod_7(A, B, C, F) => E=k8_lmod_7(A, B, C, k4_algstr_0(B, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_subset_1(D, k7_lmod_7(A, B, C)) =>  (! [E] :  (m1_subset_1(E, k7_lmod_7(A, B, C)) =>  (! [F] :  (m1_subset_1(F, k7_lmod_7(A, B, C)) =>  (F=k10_lmod_7(A, B, C, D, E) <=>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  ( (D=k8_lmod_7(A, B, C, G) & E=k8_lmod_7(A, B, C, H))  => F=k8_lmod_7(A, B, C, k3_rlvect_1(B, G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k7_lmod_7(A, B, C), k7_lmod_7(A, B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k7_lmod_7(A, B, C), k7_lmod_7(A, B, C))))) )  =>  (D=k11_lmod_7(A, B, C) <=>  (! [E] :  (m1_subset_1(E, k7_lmod_7(A, B, C)) => k3_funct_2(k7_lmod_7(A, B, C), k7_lmod_7(A, B, C), D, E)=k9_lmod_7(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k7_lmod_7(A, B, C), k7_lmod_7(A, B, C)), k7_lmod_7(A, B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k7_lmod_7(A, B, C), k7_lmod_7(A, B, C)), k7_lmod_7(A, B, C))))) )  =>  (D=k12_lmod_7(A, B, C) <=>  (! [E] :  (m1_subset_1(E, k7_lmod_7(A, B, C)) =>  (! [F] :  (m1_subset_1(F, k7_lmod_7(A, B, C)) => k4_binop_1(k7_lmod_7(A, B, C), D, E, F)=k10_lmod_7(A, B, C, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) => k13_lmod_7(A, B, C)=g2_algstr_0(k7_lmod_7(A, B, C), k12_lmod_7(A, B, C), k8_lmod_7(A, B, C, k4_struct_0(B)))) ) ) ) ) ) ).
fof(t14_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_vectsp_4(D, A, B) => m1_subset_1(k8_lmod_7(A, B, D, C), u1_struct_0(k13_lmod_7(A, B, D)))) ) ) ) ) ) ) ) ).
fof(d19_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k14_lmod_7(A, B, C, D)=k8_lmod_7(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t15_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k13_lmod_7(A, B, C))) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) & D=k14_lmod_7(A, B, C, E)) ) ) ) ) ) ) ) ) ) ).
fof(t16_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_vectsp_4(E, A, B) =>  (k14_lmod_7(A, B, E, C)=k14_lmod_7(A, B, E, D) <=> r1_struct_0(E, k5_algstr_0(B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_vectsp_4(E, A, B) =>  (k1_algstr_0(k13_lmod_7(A, B, E), k14_lmod_7(A, B, E, C), k14_lmod_7(A, B, E, D))=k14_lmod_7(A, B, E, k3_rlvect_1(B, C, D)) & k4_struct_0(k13_lmod_7(A, B, E))=k14_lmod_7(A, B, E, k4_struct_0(B))) ) ) ) ) ) ) ) ) ) ) ).
fof(d20_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k13_lmod_7(A, B, C))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k13_lmod_7(A, B, C))) =>  (F=k15_lmod_7(A, B, C, D, E) <=>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (E=k14_lmod_7(A, B, C, G) => F=k14_lmod_7(A, B, C, k3_vectsp_1(A, B, D, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d21_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k13_lmod_7(A, B, C))), u1_struct_0(k13_lmod_7(A, B, C))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k13_lmod_7(A, B, C))), u1_struct_0(k13_lmod_7(A, B, C)))))) )  =>  (D=k16_lmod_7(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k13_lmod_7(A, B, C))) => k2_binop_1(u1_struct_0(A), u1_struct_0(k13_lmod_7(A, B, C)), u1_struct_0(k13_lmod_7(A, B, C)), D, E, F)=k15_lmod_7(A, B, C, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d22_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) => k17_lmod_7(A, B, C)=g1_vectsp_1(A, u1_struct_0(k13_lmod_7(A, B, C)), u1_algstr_0(k13_lmod_7(A, B, C)), k14_lmod_7(A, B, C, k4_struct_0(B)), k16_lmod_7(A, B, C))) ) ) ) ) ) ).
fof(t18_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_vectsp_4(D, A, B) => m1_subset_1(k14_lmod_7(A, B, D, C), u1_struct_0(k17_lmod_7(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t19_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k17_lmod_7(A, B, C))) => m1_subset_1(D, u1_struct_0(k13_lmod_7(A, B, C)))) ) ) ) ) ) ) ) ).
fof(d23_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k18_lmod_7(A, B, C, D)=k14_lmod_7(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t20_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k17_lmod_7(A, B, C))) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) & D=k18_lmod_7(A, B, C, E)) ) ) ) ) ) ) ) ) ) ).
fof(t21_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_vectsp_4(E, A, B) =>  (k18_lmod_7(A, B, E, C)=k18_lmod_7(A, B, E, D) <=> r1_struct_0(E, k5_algstr_0(B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (m1_vectsp_4(F, A, C) =>  (k1_algstr_0(k17_lmod_7(A, C, F), k18_lmod_7(A, C, F, D), k18_lmod_7(A, C, F, E))=k18_lmod_7(A, C, F, k3_rlvect_1(C, D, E)) & k3_vectsp_1(A, k17_lmod_7(A, C, F), B, k18_lmod_7(A, C, F, D))=k18_lmod_7(A, C, F, k3_vectsp_1(A, C, B, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_lmod_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  ( ~ (v2_struct_0(k17_lmod_7(A, B, C)))  &  (v13_algstr_0(k17_lmod_7(A, B, C)) &  (v7_vectsp_1(k17_lmod_7(A, B, C), A) &  (v8_vectsp_1(k17_lmod_7(A, B, C), A) &  (v9_vectsp_1(k17_lmod_7(A, B, C), A) &  (v10_vectsp_1(k17_lmod_7(A, B, C), A) &  (v11_vectsp_1(k17_lmod_7(A, B, C), A) &  (v2_rlvect_1(k17_lmod_7(A, B, C)) &  (v3_rlvect_1(k17_lmod_7(A, B, C)) &  (v4_rlvect_1(k17_lmod_7(A, B, C)) & l1_vectsp_1(k17_lmod_7(A, B, C), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_lmod_7, axiom,  (! [A] :  (m1_subset_1(A, f1_s1_lmod_7) =>  (! [B] :  (m1_subset_1(B, f1_s1_lmod_7) =>  ( ( (! [C] :  (r2_hidden(C, A) <=> p1_s1_lmod_7(C)) )  &  (! [C] :  (r2_hidden(C, B) <=> p1_s1_lmod_7(C)) ) )  => A=B) ) ) ) ) ).
fof(s2_lmod_7, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, f1_s2_lmod_7, f1_s2_lmod_7) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(f1_s2_lmod_7, f1_s2_lmod_7)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, f1_s2_lmod_7, f1_s2_lmod_7) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(f1_s2_lmod_7, f1_s2_lmod_7)))) )  =>  ( ( (! [C] :  (m1_subset_1(C, f1_s2_lmod_7) => k3_funct_2(f1_s2_lmod_7, f1_s2_lmod_7, A, C)=f2_s2_lmod_7(C)) )  &  (! [C] :  (m1_subset_1(C, f1_s2_lmod_7) => k3_funct_2(f1_s2_lmod_7, f1_s2_lmod_7, B, C)=f2_s2_lmod_7(C)) ) )  => r2_funct_2(f1_s2_lmod_7, f1_s2_lmod_7, A, B)) ) ) ) ) ).
fof(s3_lmod_7, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k3_zfmisc_1(f1_s3_lmod_7, f1_s3_lmod_7, f1_s3_lmod_7), f1_s3_lmod_7) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(f1_s3_lmod_7, f1_s3_lmod_7, f1_s3_lmod_7), f1_s3_lmod_7)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k3_zfmisc_1(f1_s3_lmod_7, f1_s3_lmod_7, f1_s3_lmod_7), f1_s3_lmod_7) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(f1_s3_lmod_7, f1_s3_lmod_7, f1_s3_lmod_7), f1_s3_lmod_7)))) )  =>  ( ( (! [C] :  (m1_subset_1(C, f1_s3_lmod_7) =>  (! [D] :  (m1_subset_1(D, f1_s3_lmod_7) =>  (! [E] :  (m1_subset_1(E, f1_s3_lmod_7) => k2_multop_1(f1_s3_lmod_7, f1_s3_lmod_7, f1_s3_lmod_7, f1_s3_lmod_7, A, C, D, E)=f2_s3_lmod_7(C, D, E)) ) ) ) ) )  &  (! [C] :  (m1_subset_1(C, f1_s3_lmod_7) =>  (! [D] :  (m1_subset_1(D, f1_s3_lmod_7) =>  (! [E] :  (m1_subset_1(E, f1_s3_lmod_7) => k2_multop_1(f1_s3_lmod_7, f1_s3_lmod_7, f1_s3_lmod_7, f1_s3_lmod_7, B, C, D, E)=f2_s3_lmod_7(C, D, E)) ) ) ) ) ) )  => r2_funct_2(k3_zfmisc_1(f1_s3_lmod_7, f1_s3_lmod_7, f1_s3_lmod_7), f1_s3_lmod_7, A, B)) ) ) ) ) ).
fof(s4_lmod_7, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_zfmisc_1(f1_s4_lmod_7, f1_s4_lmod_7, f1_s4_lmod_7, f1_s4_lmod_7), f1_s4_lmod_7) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_zfmisc_1(f1_s4_lmod_7, f1_s4_lmod_7, f1_s4_lmod_7, f1_s4_lmod_7), f1_s4_lmod_7)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_zfmisc_1(f1_s4_lmod_7, f1_s4_lmod_7, f1_s4_lmod_7, f1_s4_lmod_7), f1_s4_lmod_7) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_zfmisc_1(f1_s4_lmod_7, f1_s4_lmod_7, f1_s4_lmod_7, f1_s4_lmod_7), f1_s4_lmod_7)))) )  =>  ( ( (! [C] :  (m1_subset_1(C, f1_s4_lmod_7) =>  (! [D] :  (m1_subset_1(D, f1_s4_lmod_7) =>  (! [E] :  (m1_subset_1(E, f1_s4_lmod_7) =>  (! [F] :  (m1_subset_1(F, f1_s4_lmod_7) => k4_multop_1(f1_s4_lmod_7, f1_s4_lmod_7, f1_s4_lmod_7, f1_s4_lmod_7, f1_s4_lmod_7, A, C, D, E, F)=f2_s4_lmod_7(C, D, E, F)) ) ) ) ) ) ) )  &  (! [C] :  (m1_subset_1(C, f1_s4_lmod_7) =>  (! [D] :  (m1_subset_1(D, f1_s4_lmod_7) =>  (! [E] :  (m1_subset_1(E, f1_s4_lmod_7) =>  (! [F] :  (m1_subset_1(F, f1_s4_lmod_7) => k4_multop_1(f1_s4_lmod_7, f1_s4_lmod_7, f1_s4_lmod_7, f1_s4_lmod_7, f1_s4_lmod_7, B, C, D, E, F)=f2_s4_lmod_7(C, D, E, F)) ) ) ) ) ) ) ) )  => r2_funct_2(k4_zfmisc_1(f1_s4_lmod_7, f1_s4_lmod_7, f1_s4_lmod_7, f1_s4_lmod_7), f1_s4_lmod_7, A, B)) ) ) ) ) ).
fof(dt_f1_s2_lmod_7, axiom,  ~ (v1_xboole_0(f1_s2_lmod_7)) ).
fof(dt_f1_s3_lmod_7, axiom,  ~ (v1_xboole_0(f1_s3_lmod_7)) ).
fof(dt_f1_s4_lmod_7, axiom,  ~ (v1_xboole_0(f1_s4_lmod_7)) ).
fof(dt_f1_s5_lmod_7, axiom,  ~ (v1_xboole_0(f1_s5_lmod_7)) ).
fof(dt_f2_s5_lmod_7, axiom,  ~ (v1_xboole_0(f2_s5_lmod_7)) ).
fof(dt_f3_s5_lmod_7, axiom,  (! [A] : m1_subset_1(f3_s5_lmod_7(A), f2_s5_lmod_7)) ).
fof(dt_f1_s6_lmod_7, axiom,  ~ (v1_xboole_0(f1_s6_lmod_7)) ).
fof(dt_f2_s6_lmod_7, axiom, m1_subset_1(f2_s6_lmod_7, f1_s6_lmod_7)).
fof(dt_f2_s7_lmod_7, axiom,  ~ (v1_xboole_0(f2_s7_lmod_7)) ).
fof(dt_f3_s7_lmod_7, axiom, m1_subset_1(f3_s7_lmod_7, f2_s7_lmod_7)).
fof(dt_f2_s8_lmod_7, axiom,  ~ (v1_xboole_0(f2_s8_lmod_7)) ).
fof(dt_f3_s8_lmod_7, axiom, m1_subset_1(f3_s8_lmod_7, f2_s8_lmod_7)).
fof(dt_f3_s9_lmod_7, axiom,  ~ (v1_xboole_0(f3_s9_lmod_7)) ).
fof(dt_f1_s10_lmod_7, axiom,  ~ (v1_xboole_0(f1_s10_lmod_7)) ).
fof(dt_f2_s10_lmod_7, axiom,  ~ (v1_xboole_0(f2_s10_lmod_7)) ).
fof(dt_f4_s10_lmod_7, axiom, m1_subset_1(f4_s10_lmod_7, f1_s10_lmod_7)).
fof(dt_m1_lmod_7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_lmod_7(C, A, B) =>  ~ (v1_xboole_0(C)) ) ) ) ) ).
fof(existence_m1_lmod_7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (? [C] : m1_lmod_7(C, A, B)) ) ) ).
fof(dt_k1_lmod_7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  => m1_lmod_7(k1_lmod_7(A, B), A, B)) ) ).
fof(redefinition_k1_lmod_7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  => k1_lmod_7(A, B)=k3_vectsp_5(A, B)) ) ).
fof(dt_m2_lmod_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  & m1_lmod_7(C, A, B)) )  =>  (! [D] :  (m2_lmod_7(D, A, B, C) =>  (v7_vectsp_1(D, A) & m1_vectsp_4(D, A, B)) ) ) ) ) ).
fof(existence_m2_lmod_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  & m1_lmod_7(C, A, B)) )  =>  (? [D] : m2_lmod_7(D, A, B, C)) ) ) ).
fof(redefinition_m2_lmod_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  & m1_lmod_7(C, A, B)) )  =>  (! [D] :  (m2_lmod_7(D, A, B, C) <=> m1_subset_1(D, C)) ) ) ) ).
fof(dt_m3_lmod_7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m3_lmod_7(C, A, B) =>  (v7_vectsp_1(C, A) & m1_vectsp_4(C, A, B)) ) ) ) ) ).
fof(existence_m3_lmod_7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (? [C] : m3_lmod_7(C, A, B)) ) ) ).
fof(dt_m4_lmod_7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m4_lmod_7(C, A, B) =>  ~ (v1_xboole_0(C)) ) ) ) ) ).
fof(existence_m4_lmod_7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (? [C] : m4_lmod_7(C, A, B)) ) ) ).
fof(dt_k2_lmod_7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  => m4_lmod_7(k2_lmod_7(A, B), A, B)) ) ).
fof(dt_m5_lmod_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  & m4_lmod_7(C, A, B)) )  =>  (! [D] :  (m5_lmod_7(D, A, B, C) => m3_lmod_7(D, A, B)) ) ) ) ).
fof(existence_m5_lmod_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  & m4_lmod_7(C, A, B)) )  =>  (? [D] : m5_lmod_7(D, A, B, C)) ) ) ).
fof(redefinition_m5_lmod_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  & m4_lmod_7(C, A, B)) )  =>  (! [D] :  (m5_lmod_7(D, A, B, C) <=> m1_subset_1(D, C)) ) ) ) ).
fof(dt_m6_lmod_7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m6_lmod_7(C, A, B) =>  (v7_vectsp_1(C, A) & m1_vectsp_4(C, A, B)) ) ) ) ) ).
fof(existence_m6_lmod_7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (? [C] : m6_lmod_7(C, A, B)) ) ) ).
fof(dt_m7_lmod_7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m7_lmod_7(C, A, B) =>  ~ (v1_xboole_0(C)) ) ) ) ) ).
fof(existence_m7_lmod_7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (? [C] : m7_lmod_7(C, A, B)) ) ) ).
fof(dt_k3_lmod_7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  => m7_lmod_7(k3_lmod_7(A, B), A, B)) ) ).
fof(dt_m8_lmod_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  & m7_lmod_7(C, A, B)) )  =>  (! [D] :  (m8_lmod_7(D, A, B, C) => m6_lmod_7(D, A, B)) ) ) ) ).
fof(existence_m8_lmod_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  & m7_lmod_7(C, A, B)) )  =>  (? [D] : m8_lmod_7(D, A, B, C)) ) ) ).
fof(redefinition_m8_lmod_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  & m7_lmod_7(C, A, B)) )  =>  (! [D] :  (m8_lmod_7(D, A, B, C) <=> m1_subset_1(D, C)) ) ) ) ).
fof(dt_k4_lmod_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  & m1_finseq_1(C, k3_vectsp_5(A, B))) )  => m2_lmod_7(k4_lmod_7(A, B, C), A, B, k1_lmod_7(A, B))) ) ).
fof(dt_k5_lmod_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  & m1_finseq_1(C, k3_vectsp_5(A, B))) )  => m2_lmod_7(k5_lmod_7(A, B, C), A, B, k1_lmod_7(A, B))) ) ).
fof(dt_k6_lmod_7, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) )  => m1_subset_1(k6_lmod_7(A, B, C, D), k1_zfmisc_1(u1_struct_0(B)))) ) ).
fof(dt_m9_lmod_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (! [D] :  (m9_lmod_7(D, A, B, C) => m1_subset_1(D, u1_struct_0(B))) ) ) ) ).
fof(existence_m9_lmod_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (? [D] : m9_lmod_7(D, A, B, C)) ) ) ).
fof(dt_k8_lmod_7, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  (m1_vectsp_4(C, A, B) & m1_subset_1(D, u1_struct_0(B))) ) )  => m1_subset_1(k8_lmod_7(A, B, C, D), k7_lmod_7(A, B, C))) ) ).
fof(dt_k9_lmod_7, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  (m1_vectsp_4(C, A, B) & m1_subset_1(D, k7_lmod_7(A, B, C))) ) )  => m1_subset_1(k9_lmod_7(A, B, C, D), k7_lmod_7(A, B, C))) ) ).
fof(dt_k10_lmod_7, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  (m1_vectsp_4(C, A, B) &  (m1_subset_1(D, k7_lmod_7(A, B, C)) & m1_subset_1(E, k7_lmod_7(A, B, C))) ) ) )  => m1_subset_1(k10_lmod_7(A, B, C, D, E), k7_lmod_7(A, B, C))) ) ).
fof(dt_k11_lmod_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  & m1_vectsp_4(C, A, B)) )  =>  (v1_funct_1(k11_lmod_7(A, B, C)) &  (v1_funct_2(k11_lmod_7(A, B, C), k7_lmod_7(A, B, C), k7_lmod_7(A, B, C)) & m1_subset_1(k11_lmod_7(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k7_lmod_7(A, B, C), k7_lmod_7(A, B, C))))) ) ) ) ).
fof(dt_k12_lmod_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  & m1_vectsp_4(C, A, B)) )  =>  (v1_funct_1(k12_lmod_7(A, B, C)) &  (v1_funct_2(k12_lmod_7(A, B, C), k2_zfmisc_1(k7_lmod_7(A, B, C), k7_lmod_7(A, B, C)), k7_lmod_7(A, B, C)) & m1_subset_1(k12_lmod_7(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k7_lmod_7(A, B, C), k7_lmod_7(A, B, C)), k7_lmod_7(A, B, C))))) ) ) ) ).
fof(dt_k13_lmod_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  & m1_vectsp_4(C, A, B)) )  =>  (v8_algstr_0(k13_lmod_7(A, B, C)) & l2_algstr_0(k13_lmod_7(A, B, C))) ) ) ).
fof(dt_k14_lmod_7, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  (m1_vectsp_4(C, A, B) & m1_subset_1(D, u1_struct_0(B))) ) )  => m1_subset_1(k14_lmod_7(A, B, C, D), u1_struct_0(k13_lmod_7(A, B, C)))) ) ).
fof(dt_k15_lmod_7, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  (m1_vectsp_4(C, A, B) &  (m1_subset_1(D, u1_struct_0(A)) & m1_subset_1(E, u1_struct_0(k13_lmod_7(A, B, C)))) ) ) )  => m1_subset_1(k15_lmod_7(A, B, C, D, E), u1_struct_0(k13_lmod_7(A, B, C)))) ) ).
fof(dt_k16_lmod_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  & m1_vectsp_4(C, A, B)) )  =>  (v1_funct_1(k16_lmod_7(A, B, C)) &  (v1_funct_2(k16_lmod_7(A, B, C), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k13_lmod_7(A, B, C))), u1_struct_0(k13_lmod_7(A, B, C))) & m1_subset_1(k16_lmod_7(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k13_lmod_7(A, B, C))), u1_struct_0(k13_lmod_7(A, B, C)))))) ) ) ) ).
fof(dt_k17_lmod_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  & m1_vectsp_4(C, A, B)) )  =>  (v7_vectsp_1(k17_lmod_7(A, B, C), A) & l1_vectsp_1(k17_lmod_7(A, B, C), A)) ) ) ).
fof(dt_k18_lmod_7, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  (m1_vectsp_4(C, A, B) & m1_subset_1(D, u1_struct_0(B))) ) )  => m1_subset_1(k18_lmod_7(A, B, C, D), u1_struct_0(k17_lmod_7(A, B, C)))) ) ).
fof(s5_lmod_7, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(f2_s5_lmod_7)) & A=a_0_0_lmod_7) ) ).
fof(s6_lmod_7, axiom,  (r2_tarski(f2_s6_lmod_7, a_0_1_lmod_7) => p1_s6_lmod_7(f2_s6_lmod_7)) ).
fof(s7_lmod_7, axiom,  (f1_s7_lmod_7=a_0_2_lmod_7 =>  (r2_tarski(f3_s7_lmod_7, f1_s7_lmod_7) <=> p1_s7_lmod_7(f3_s7_lmod_7)) ) ).
fof(s8_lmod_7, axiom,  ( (r2_tarski(f3_s8_lmod_7, f1_s8_lmod_7) & f1_s8_lmod_7=a_0_3_lmod_7)  => p1_s8_lmod_7(f3_s8_lmod_7)) ).
fof(s9_lmod_7, axiom,  (f2_s9_lmod_7=a_0_4_lmod_7 =>  (r2_tarski(f1_s9_lmod_7, f2_s9_lmod_7) <=>  (? [A] :  (m1_subset_1(A, f3_s9_lmod_7) &  (f1_s9_lmod_7=A & p1_s9_lmod_7(A)) ) ) ) ) ).
fof(s10_lmod_7, axiom,  ( (f5_s10_lmod_7(f3_s10_lmod_7)=a_0_5_lmod_7 &  (p2_s10_lmod_7(f4_s10_lmod_7, f3_s10_lmod_7) <=>  (! [A] :  (m1_subset_1(A, f2_s10_lmod_7) =>  (r2_tarski(A, f3_s10_lmod_7) => p1_s10_lmod_7(f4_s10_lmod_7, A)) ) ) ) )  =>  (r2_tarski(f4_s10_lmod_7, f5_s10_lmod_7(f3_s10_lmod_7)) <=>  (! [A] :  (m1_subset_1(A, f2_s10_lmod_7) =>  (r2_tarski(A, f3_s10_lmod_7) => p1_s10_lmod_7(f4_s10_lmod_7, A)) ) ) ) ) ).
fof(fraenkel_a_0_0_lmod_7, axiom,  (! [A] :  (r2_hidden(A, a_0_0_lmod_7) <=>  (? [B] :  (m1_subset_1(B, f1_s5_lmod_7) &  (A=f3_s5_lmod_7(B) & p1_s5_lmod_7(B)) ) ) ) ) ).
fof(fraenkel_a_0_1_lmod_7, axiom,  (! [A] :  (r2_hidden(A, a_0_1_lmod_7) <=>  (? [B] :  (m1_subset_1(B, f1_s6_lmod_7) &  (A=B & p1_s6_lmod_7(B)) ) ) ) ) ).
fof(fraenkel_a_0_2_lmod_7, axiom,  (! [A] :  (r2_hidden(A, a_0_2_lmod_7) <=>  (? [B] :  (m1_subset_1(B, f2_s7_lmod_7) &  (A=B & p1_s7_lmod_7(B)) ) ) ) ) ).
fof(fraenkel_a_0_3_lmod_7, axiom,  (! [A] :  (r2_hidden(A, a_0_3_lmod_7) <=>  (? [B] :  (m1_subset_1(B, f2_s8_lmod_7) &  (A=B & p1_s8_lmod_7(B)) ) ) ) ) ).
fof(fraenkel_a_0_4_lmod_7, axiom,  (! [A] :  (r2_hidden(A, a_0_4_lmod_7) <=>  (? [B] :  (m1_subset_1(B, f3_s9_lmod_7) &  (A=B & p1_s9_lmod_7(B)) ) ) ) ) ).
fof(fraenkel_a_0_5_lmod_7, axiom,  (! [A] :  (r2_hidden(A, a_0_5_lmod_7) <=>  (? [B] :  (m1_subset_1(B, f1_s10_lmod_7) &  (A=B & p2_s10_lmod_7(B, f3_s10_lmod_7)) ) ) ) ) ).
fof(fc1_lopban_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k5_lopban_1(A, B)))  &  (v13_algstr_0(k5_lopban_1(A, B)) &  (v1_rlvect_1(k5_lopban_1(A, B)) &  (v2_rlvect_1(k5_lopban_1(A, B)) &  (v3_rlvect_1(k5_lopban_1(A, B)) &  (v4_rlvect_1(k5_lopban_1(A, B)) &  (v5_rlvect_1(k5_lopban_1(A, B)) &  (v6_rlvect_1(k5_lopban_1(A, B)) &  (v7_rlvect_1(k5_lopban_1(A, B)) & v8_rlvect_1(k5_lopban_1(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(fc2_lopban_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k5_lopban_1(A, B)))  &  (v13_algstr_0(k5_lopban_1(A, B)) &  (v2_rlvect_1(k5_lopban_1(A, B)) &  (v3_rlvect_1(k5_lopban_1(A, B)) &  (v4_rlvect_1(k5_lopban_1(A, B)) &  (v5_rlvect_1(k5_lopban_1(A, B)) &  (v6_rlvect_1(k5_lopban_1(A, B)) &  (v7_rlvect_1(k5_lopban_1(A, B)) &  (v8_rlvect_1(k5_lopban_1(A, B)) & v1_monoid_0(k5_lopban_1(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_lopban_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) & v1_lopban_1(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc3_lopban_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k7_lopban_1(A, B)))  & v4_funct_1(k7_lopban_1(A, B))) ) ) ).
fof(fc4_lopban_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) ) )  =>  (v13_algstr_0(g1_rlvect_1(k7_lopban_1(A, B), k7_rsspace(k5_lopban_1(u1_struct_0(A), B), k7_lopban_1(A, B)), k5_rsspace(k5_lopban_1(u1_struct_0(A), B), k7_lopban_1(A, B)), k6_rsspace(k5_lopban_1(u1_struct_0(A), B), k7_lopban_1(A, B)))) &  (v1_rlvect_1(g1_rlvect_1(k7_lopban_1(A, B), k7_rsspace(k5_lopban_1(u1_struct_0(A), B), k7_lopban_1(A, B)), k5_rsspace(k5_lopban_1(u1_struct_0(A), B), k7_lopban_1(A, B)), k6_rsspace(k5_lopban_1(u1_struct_0(A), B), k7_lopban_1(A, B)))) &  (v2_rlvect_1(g1_rlvect_1(k7_lopban_1(A, B), k7_rsspace(k5_lopban_1(u1_struct_0(A), B), k7_lopban_1(A, B)), k5_rsspace(k5_lopban_1(u1_struct_0(A), B), k7_lopban_1(A, B)), k6_rsspace(k5_lopban_1(u1_struct_0(A), B), k7_lopban_1(A, B)))) &  (v3_rlvect_1(g1_rlvect_1(k7_lopban_1(A, B), k7_rsspace(k5_lopban_1(u1_struct_0(A), B), k7_lopban_1(A, B)), k5_rsspace(k5_lopban_1(u1_struct_0(A), B), k7_lopban_1(A, B)), k6_rsspace(k5_lopban_1(u1_struct_0(A), B), k7_lopban_1(A, B)))) &  (v4_rlvect_1(g1_rlvect_1(k7_lopban_1(A, B), k7_rsspace(k5_lopban_1(u1_struct_0(A), B), k7_lopban_1(A, B)), k5_rsspace(k5_lopban_1(u1_struct_0(A), B), k7_lopban_1(A, B)), k6_rsspace(k5_lopban_1(u1_struct_0(A), B), k7_lopban_1(A, B)))) &  (v5_rlvect_1(g1_rlvect_1(k7_lopban_1(A, B), k7_rsspace(k5_lopban_1(u1_struct_0(A), B), k7_lopban_1(A, B)), k5_rsspace(k5_lopban_1(u1_struct_0(A), B), k7_lopban_1(A, B)), k6_rsspace(k5_lopban_1(u1_struct_0(A), B), k7_lopban_1(A, B)))) &  (v6_rlvect_1(g1_rlvect_1(k7_lopban_1(A, B), k7_rsspace(k5_lopban_1(u1_struct_0(A), B), k7_lopban_1(A, B)), k5_rsspace(k5_lopban_1(u1_struct_0(A), B), k7_lopban_1(A, B)), k6_rsspace(k5_lopban_1(u1_struct_0(A), B), k7_lopban_1(A, B)))) &  (v7_rlvect_1(g1_rlvect_1(k7_lopban_1(A, B), k7_rsspace(k5_lopban_1(u1_struct_0(A), B), k7_lopban_1(A, B)), k5_rsspace(k5_lopban_1(u1_struct_0(A), B), k7_lopban_1(A, B)), k6_rsspace(k5_lopban_1(u1_struct_0(A), B), k7_lopban_1(A, B)))) & v8_rlvect_1(g1_rlvect_1(k7_lopban_1(A, B), k7_rsspace(k5_lopban_1(u1_struct_0(A), B), k7_lopban_1(A, B)), k5_rsspace(k5_lopban_1(u1_struct_0(A), B), k7_lopban_1(A, B)), k6_rsspace(k5_lopban_1(u1_struct_0(A), B), k7_lopban_1(A, B))))) ) ) ) ) ) ) ) ) ) ).
fof(fc5_lopban_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k8_lopban_1(A, B)))  &  (v13_algstr_0(k8_lopban_1(A, B)) &  (v1_rlvect_1(k8_lopban_1(A, B)) &  (v2_rlvect_1(k8_lopban_1(A, B)) &  (v3_rlvect_1(k8_lopban_1(A, B)) &  (v4_rlvect_1(k8_lopban_1(A, B)) &  (v5_rlvect_1(k8_lopban_1(A, B)) &  (v6_rlvect_1(k8_lopban_1(A, B)) &  (v7_rlvect_1(k8_lopban_1(A, B)) & v8_rlvect_1(k8_lopban_1(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(fc6_lopban_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k8_lopban_1(A, B)))  &  (v13_algstr_0(k8_lopban_1(A, B)) &  (v2_rlvect_1(k8_lopban_1(A, B)) &  (v3_rlvect_1(k8_lopban_1(A, B)) &  (v4_rlvect_1(k8_lopban_1(A, B)) &  (v5_rlvect_1(k8_lopban_1(A, B)) &  (v6_rlvect_1(k8_lopban_1(A, B)) &  (v7_rlvect_1(k8_lopban_1(A, B)) &  (v8_rlvect_1(k8_lopban_1(A, B)) & v1_monoid_0(k8_lopban_1(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_lopban_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & v2_lopban_1(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc7_lopban_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  ~ (v1_xboole_0(k10_lopban_1(A, B))) ) ) ).
fof(fc8_lopban_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (v13_algstr_0(g1_rlvect_1(k10_lopban_1(A, B), k7_rsspace(k8_lopban_1(A, B), k10_lopban_1(A, B)), k5_rsspace(k8_lopban_1(A, B), k10_lopban_1(A, B)), k6_rsspace(k8_lopban_1(A, B), k10_lopban_1(A, B)))) &  (v1_rlvect_1(g1_rlvect_1(k10_lopban_1(A, B), k7_rsspace(k8_lopban_1(A, B), k10_lopban_1(A, B)), k5_rsspace(k8_lopban_1(A, B), k10_lopban_1(A, B)), k6_rsspace(k8_lopban_1(A, B), k10_lopban_1(A, B)))) &  (v2_rlvect_1(g1_rlvect_1(k10_lopban_1(A, B), k7_rsspace(k8_lopban_1(A, B), k10_lopban_1(A, B)), k5_rsspace(k8_lopban_1(A, B), k10_lopban_1(A, B)), k6_rsspace(k8_lopban_1(A, B), k10_lopban_1(A, B)))) &  (v3_rlvect_1(g1_rlvect_1(k10_lopban_1(A, B), k7_rsspace(k8_lopban_1(A, B), k10_lopban_1(A, B)), k5_rsspace(k8_lopban_1(A, B), k10_lopban_1(A, B)), k6_rsspace(k8_lopban_1(A, B), k10_lopban_1(A, B)))) &  (v4_rlvect_1(g1_rlvect_1(k10_lopban_1(A, B), k7_rsspace(k8_lopban_1(A, B), k10_lopban_1(A, B)), k5_rsspace(k8_lopban_1(A, B), k10_lopban_1(A, B)), k6_rsspace(k8_lopban_1(A, B), k10_lopban_1(A, B)))) &  (v5_rlvect_1(g1_rlvect_1(k10_lopban_1(A, B), k7_rsspace(k8_lopban_1(A, B), k10_lopban_1(A, B)), k5_rsspace(k8_lopban_1(A, B), k10_lopban_1(A, B)), k6_rsspace(k8_lopban_1(A, B), k10_lopban_1(A, B)))) &  (v6_rlvect_1(g1_rlvect_1(k10_lopban_1(A, B), k7_rsspace(k8_lopban_1(A, B), k10_lopban_1(A, B)), k5_rsspace(k8_lopban_1(A, B), k10_lopban_1(A, B)), k6_rsspace(k8_lopban_1(A, B), k10_lopban_1(A, B)))) &  (v7_rlvect_1(g1_rlvect_1(k10_lopban_1(A, B), k7_rsspace(k8_lopban_1(A, B), k10_lopban_1(A, B)), k5_rsspace(k8_lopban_1(A, B), k10_lopban_1(A, B)), k6_rsspace(k8_lopban_1(A, B), k10_lopban_1(A, B)))) & v8_rlvect_1(g1_rlvect_1(k10_lopban_1(A, B), k7_rsspace(k8_lopban_1(A, B), k10_lopban_1(A, B)), k5_rsspace(k8_lopban_1(A, B), k10_lopban_1(A, B)), k6_rsspace(k8_lopban_1(A, B), k10_lopban_1(A, B))))) ) ) ) ) ) ) ) ) ) ).
fof(fc9_lopban_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k11_lopban_1(A, B)))  &  (v13_algstr_0(k11_lopban_1(A, B)) &  (v1_rlvect_1(k11_lopban_1(A, B)) &  (v2_rlvect_1(k11_lopban_1(A, B)) &  (v3_rlvect_1(k11_lopban_1(A, B)) &  (v4_rlvect_1(k11_lopban_1(A, B)) &  (v5_rlvect_1(k11_lopban_1(A, B)) &  (v6_rlvect_1(k11_lopban_1(A, B)) &  (v7_rlvect_1(k11_lopban_1(A, B)) & v8_rlvect_1(k11_lopban_1(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_lopban_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k11_lopban_1(A, B))) =>  (v1_relat_1(C) & v1_funct_1(C)) ) ) ) ) ).
fof(cc2_lopban_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k16_lopban_1(A, B))) =>  (v1_relat_1(C) & v1_funct_1(C)) ) ) ) ) ).
fof(fc10_lopban_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k16_lopban_1(A, B)))  &  (v13_algstr_0(k16_lopban_1(A, B)) &  (v2_rlvect_1(k16_lopban_1(A, B)) &  (v3_rlvect_1(k16_lopban_1(A, B)) &  (v4_rlvect_1(k16_lopban_1(A, B)) &  (v5_rlvect_1(k16_lopban_1(A, B)) &  (v6_rlvect_1(k16_lopban_1(A, B)) &  (v7_rlvect_1(k16_lopban_1(A, B)) &  (v8_rlvect_1(k16_lopban_1(A, B)) &  (v3_normsp_0(k16_lopban_1(A, B)) &  (v4_normsp_0(k16_lopban_1(A, B)) & v2_normsp_1(k16_lopban_1(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_lopban_1, axiom,  (? [A] :  (l1_normsp_1(A) &  ( ~ (v2_struct_0(A))  &  (v12_algstr_0(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v9_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & v3_lopban_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc11_lopban_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) &  (v3_lopban_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k16_lopban_1(A, B)))  & v3_lopban_1(k16_lopban_1(A, B))) ) ) ).
fof(d1_lopban_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_algstr_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k9_funct_2(A, u1_struct_0(B)), k9_funct_2(A, u1_struct_0(B))), k9_funct_2(A, u1_struct_0(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, u1_struct_0(B)), k9_funct_2(A, u1_struct_0(B))), k9_funct_2(A, u1_struct_0(B)))))) )  =>  (C=k2_lopban_1(A, B) <=>  (! [D] :  (m2_funct_2(D, A, u1_struct_0(B), k9_funct_2(A, u1_struct_0(B))) =>  (! [E] :  (m2_funct_2(E, A, u1_struct_0(B), k9_funct_2(A, u1_struct_0(B))) => r2_funct_2(A, u1_struct_0(B), k1_funcsdom(A, u1_struct_0(B), C, D, E), k3_funcsdom(u1_struct_0(B), A, u1_algstr_0(B), D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_lopban_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k1_numbers, k9_funct_2(A, u1_struct_0(B))), k9_funct_2(A, u1_struct_0(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k9_funct_2(A, u1_struct_0(B))), k9_funct_2(A, u1_struct_0(B)))))) )  =>  (C=k3_lopban_1(A, B) <=>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m2_funct_2(E, A, u1_struct_0(B), k9_funct_2(A, u1_struct_0(B))) =>  (! [F] :  (m1_subset_1(F, A) => k1_funct_1(k1_funct_1(C, k4_tarski(D, E)), F)=k1_rlvect_1(B, k3_funct_2(A, u1_struct_0(B), E, F), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_lopban_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  => k4_lopban_1(A, B)=k8_funcop_1(u1_struct_0(B), A, k4_struct_0(B))) ) ) ).
fof(t1_lopban_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_algstr_0(B))  =>  (! [C] :  (m2_funct_2(C, A, u1_struct_0(B), k9_funct_2(A, u1_struct_0(B))) =>  (! [D] :  (m2_funct_2(D, A, u1_struct_0(B), k9_funct_2(A, u1_struct_0(B))) =>  (! [E] :  (m2_funct_2(E, A, u1_struct_0(B), k9_funct_2(A, u1_struct_0(B))) =>  (r2_funct_2(A, u1_struct_0(B), E, k1_funcsdom(A, u1_struct_0(B), k2_lopban_1(A, B), C, D)) <=>  (! [F] :  (m1_subset_1(F, A) => k3_funct_2(A, u1_struct_0(B), E, F)=k1_algstr_0(B, k3_funct_2(A, u1_struct_0(B), C, F), k3_funct_2(A, u1_struct_0(B), D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_lopban_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_funct_2(C, A, u1_struct_0(B), k9_funct_2(A, u1_struct_0(B))) =>  (! [D] :  (m2_funct_2(D, A, u1_struct_0(B), k9_funct_2(A, u1_struct_0(B))) =>  (! [E] :  (v1_xreal_0(E) =>  (D=k1_funct_1(k3_lopban_1(A, B), k4_tarski(E, C)) <=>  (! [F] :  (m1_subset_1(F, A) => k3_funct_2(A, u1_struct_0(B), D, F)=k1_rlvect_1(B, k3_funct_2(A, u1_struct_0(B), C, F), E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_lopban_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_funct_2(C, A, u1_struct_0(B), k9_funct_2(A, u1_struct_0(B))) =>  (! [D] :  (m2_funct_2(D, A, u1_struct_0(B), k9_funct_2(A, u1_struct_0(B))) => r2_funct_2(A, u1_struct_0(B), k1_funcsdom(A, u1_struct_0(B), k2_lopban_1(A, B), C, D), k1_funcsdom(A, u1_struct_0(B), k2_lopban_1(A, B), D, C))) ) ) ) ) ) ) ) ).
fof(t4_lopban_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_funct_2(C, A, u1_struct_0(B), k9_funct_2(A, u1_struct_0(B))) =>  (! [D] :  (m2_funct_2(D, A, u1_struct_0(B), k9_funct_2(A, u1_struct_0(B))) =>  (! [E] :  (m2_funct_2(E, A, u1_struct_0(B), k9_funct_2(A, u1_struct_0(B))) => r2_funct_2(A, u1_struct_0(B), k1_funcsdom(A, u1_struct_0(B), k2_lopban_1(A, B), C, k1_funcsdom(A, u1_struct_0(B), k2_lopban_1(A, B), D, E)), k1_funcsdom(A, u1_struct_0(B), k2_lopban_1(A, B), k1_funcsdom(A, u1_struct_0(B), k2_lopban_1(A, B), C, D), E))) ) ) ) ) ) ) ) ) ) ).
fof(t5_lopban_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_funct_2(C, A, u1_struct_0(B), k9_funct_2(A, u1_struct_0(B))) => r2_funct_2(A, u1_struct_0(B), k1_funcsdom(A, u1_struct_0(B), k2_lopban_1(A, B), k4_lopban_1(A, B), C), C)) ) ) ) ) ) ).
fof(t6_lopban_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_funct_2(C, A, u1_struct_0(B), k9_funct_2(A, u1_struct_0(B))) => k1_binop_1(k2_lopban_1(A, B), C, k1_funct_1(k3_lopban_1(A, B), k4_tarski(k4_xcmplx_0(1), C)))=k4_lopban_1(A, B)) ) ) ) ) ) ).
fof(t7_lopban_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_funct_2(C, A, u1_struct_0(B), k9_funct_2(A, u1_struct_0(B))) => k1_funct_1(k3_lopban_1(A, B), k1_domain_1(k4_ordinal1, k9_funct_2(A, u1_struct_0(B)), 1, C))=C) ) ) ) ) ) ).
fof(t8_lopban_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_funct_2(C, A, u1_struct_0(B), k9_funct_2(A, u1_struct_0(B))) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) => k1_funct_1(k3_lopban_1(A, B), k4_tarski(D, k1_funct_1(k3_lopban_1(A, B), k4_tarski(E, C))))=k1_funct_1(k3_lopban_1(A, B), k4_tarski(k3_xcmplx_0(D, E), C))) ) ) ) ) ) ) ) ) ) ).
fof(t9_lopban_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_funct_2(C, A, u1_struct_0(B), k9_funct_2(A, u1_struct_0(B))) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) => k1_binop_1(k2_lopban_1(A, B), k1_funct_1(k3_lopban_1(A, B), k4_tarski(D, C)), k1_funct_1(k3_lopban_1(A, B), k4_tarski(E, C)))=k1_funct_1(k3_lopban_1(A, B), k4_tarski(k2_xcmplx_0(D, E), C))) ) ) ) ) ) ) ) ) ) ).
fof(t10_lopban_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(g1_rlvect_1(k9_funct_2(A, u1_struct_0(B)), k4_lopban_1(A, B), k2_lopban_1(A, B), k3_lopban_1(A, B))))  &  (v13_algstr_0(g1_rlvect_1(k9_funct_2(A, u1_struct_0(B)), k4_lopban_1(A, B), k2_lopban_1(A, B), k3_lopban_1(A, B))) &  (v2_rlvect_1(g1_rlvect_1(k9_funct_2(A, u1_struct_0(B)), k4_lopban_1(A, B), k2_lopban_1(A, B), k3_lopban_1(A, B))) &  (v3_rlvect_1(g1_rlvect_1(k9_funct_2(A, u1_struct_0(B)), k4_lopban_1(A, B), k2_lopban_1(A, B), k3_lopban_1(A, B))) &  (v4_rlvect_1(g1_rlvect_1(k9_funct_2(A, u1_struct_0(B)), k4_lopban_1(A, B), k2_lopban_1(A, B), k3_lopban_1(A, B))) &  (v5_rlvect_1(g1_rlvect_1(k9_funct_2(A, u1_struct_0(B)), k4_lopban_1(A, B), k2_lopban_1(A, B), k3_lopban_1(A, B))) &  (v6_rlvect_1(g1_rlvect_1(k9_funct_2(A, u1_struct_0(B)), k4_lopban_1(A, B), k2_lopban_1(A, B), k3_lopban_1(A, B))) &  (v7_rlvect_1(g1_rlvect_1(k9_funct_2(A, u1_struct_0(B)), k4_lopban_1(A, B), k2_lopban_1(A, B), k3_lopban_1(A, B))) &  (v8_rlvect_1(g1_rlvect_1(k9_funct_2(A, u1_struct_0(B)), k4_lopban_1(A, B), k2_lopban_1(A, B), k3_lopban_1(A, B))) & l1_rlvect_1(g1_rlvect_1(k9_funct_2(A, u1_struct_0(B)), k4_lopban_1(A, B), k2_lopban_1(A, B), k3_lopban_1(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_lopban_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  => k5_lopban_1(A, B)=g1_rlvect_1(k9_funct_2(A, u1_struct_0(B)), k4_lopban_1(A, B), k2_lopban_1(A, B), k3_lopban_1(A, B))) ) ) ) ).
fof(t11_lopban_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_lopban_1(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_lopban_1(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_lopban_1(A, B))) =>  (E=k3_rlvect_1(k5_lopban_1(A, B), C, D) <=>  (! [F] :  (m1_subset_1(F, A) => k6_lopban_1(A, B, E, F)=k3_rlvect_1(B, k6_lopban_1(A, B, C, F), k6_lopban_1(A, B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_lopban_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_lopban_1(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_lopban_1(A, B))) =>  (! [E] :  (v1_xreal_0(E) =>  (D=k1_rlvect_1(k5_lopban_1(A, B), C, E) <=>  (! [F] :  (m1_subset_1(F, A) => k6_lopban_1(A, B, D, F)=k1_rlvect_1(B, k6_lopban_1(A, B, C, F), E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_lopban_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  => k4_struct_0(k5_lopban_1(A, B))=k8_funcop_1(u1_struct_0(B), A, k4_struct_0(B))) ) ) ) ).
fof(d5_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_rlvect_1(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v1_lopban_1(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xreal_0(E) => k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k1_rlvect_1(A, D, E))=k1_rlvect_1(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k5_lopban_1(u1_struct_0(A), B)))) =>  (C=k7_lopban_1(A, B) <=>  (! [D] :  (r2_tarski(D, C) <=>  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(D, A, B) &  (v1_lopban_1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  => v1_rlsub_1(k7_lopban_1(A, B), k5_lopban_1(u1_struct_0(A), B))) ) ) ) ).
fof(t15_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  => m1_rlsub_1(g1_rlvect_1(k7_lopban_1(A, B), k7_rsspace(k5_lopban_1(u1_struct_0(A), B), k7_lopban_1(A, B)), k5_rsspace(k5_lopban_1(u1_struct_0(A), B), k7_lopban_1(A, B)), k6_rsspace(k5_lopban_1(u1_struct_0(A), B), k7_lopban_1(A, B))), k5_lopban_1(u1_struct_0(A), B))) ) ) ) ).
fof(d7_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  => k8_lopban_1(A, B)=g1_rlvect_1(k7_lopban_1(A, B), k7_rsspace(k5_lopban_1(u1_struct_0(A), B), k7_lopban_1(A, B)), k5_rsspace(k5_lopban_1(u1_struct_0(A), B), k7_lopban_1(A, B)), k6_rsspace(k5_lopban_1(u1_struct_0(A), B), k7_lopban_1(A, B)))) ) ) ) ).
fof(t16_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k8_lopban_1(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k8_lopban_1(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k8_lopban_1(A, B))) =>  (E=k3_rlvect_1(k8_lopban_1(A, B), C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => k9_lopban_1(A, B, E, F)=k3_rlvect_1(B, k9_lopban_1(A, B, C, F), k9_lopban_1(A, B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k8_lopban_1(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k8_lopban_1(A, B))) =>  (! [E] :  (v1_xreal_0(E) =>  (D=k1_rlvect_1(k8_lopban_1(A, B), C, E) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => k9_lopban_1(A, B, D, F)=k1_rlvect_1(B, k9_lopban_1(A, B, C, F), E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  => k4_struct_0(k8_lopban_1(A, B))=k8_funcop_1(u1_struct_0(B), u1_struct_0(A), k4_struct_0(B))) ) ) ) ).
fof(t19_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k8_funcop_1(u1_struct_0(B), u1_struct_0(A), k4_struct_0(B))) &  (v1_funct_2(k8_funcop_1(u1_struct_0(B), u1_struct_0(A), k4_struct_0(B)), u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(k8_funcop_1(u1_struct_0(B), u1_struct_0(A), k4_struct_0(B)), A, B) &  (v1_lopban_1(k8_funcop_1(u1_struct_0(B), u1_struct_0(A), k4_struct_0(B)), A, B) & m1_subset_1(k8_funcop_1(u1_struct_0(B), u1_struct_0(A), k4_struct_0(B)), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) ) ) ) ).
fof(t20_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v3_normsp_1(B, A) & k5_normsp_1(A, B)=C)  =>  (v2_comseq_2(k5_normsp_0(A, B)) & k1_seq_2(k5_normsp_0(A, B))=k2_normsp_0(A, C)) ) ) ) ) ) ) ) ).
fof(d8_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (v2_lopban_1(C, A, B) <=>  (? [D] :  (v1_xreal_0(D) &  (r1_xxreal_0(k5_numbers, D) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => r1_xxreal_0(k2_normsp_0(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, E)), k3_xcmplx_0(D, k2_normsp_0(A, E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D)=k4_struct_0(B)) )  => v2_lopban_1(C, A, B)) ) ) ) ) ) ) ).
fof(d9_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k8_lopban_1(A, B)))) =>  (C=k10_lopban_1(A, B) <=>  (! [D] :  (r2_tarski(D, C) <=>  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(D, A, B) &  (v1_lopban_1(D, A, B) &  (v2_lopban_1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  => v1_rlsub_1(k10_lopban_1(A, B), k8_lopban_1(A, B))) ) ) ) ).
fof(t23_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  => m1_rlsub_1(g1_rlvect_1(k10_lopban_1(A, B), k7_rsspace(k8_lopban_1(A, B), k10_lopban_1(A, B)), k5_rsspace(k8_lopban_1(A, B), k10_lopban_1(A, B)), k6_rsspace(k8_lopban_1(A, B), k10_lopban_1(A, B))), k8_lopban_1(A, B))) ) ) ) ).
fof(d10_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  => k11_lopban_1(A, B)=g1_rlvect_1(k10_lopban_1(A, B), k7_rsspace(k8_lopban_1(A, B), k10_lopban_1(A, B)), k5_rsspace(k8_lopban_1(A, B), k10_lopban_1(A, B)), k6_rsspace(k8_lopban_1(A, B), k10_lopban_1(A, B)))) ) ) ) ).
fof(t24_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k11_lopban_1(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k11_lopban_1(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k11_lopban_1(A, B))) =>  (E=k3_rlvect_1(k11_lopban_1(A, B), C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => k12_lopban_1(A, B, E, F)=k3_rlvect_1(B, k12_lopban_1(A, B, C, F), k12_lopban_1(A, B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k11_lopban_1(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k11_lopban_1(A, B))) =>  (! [E] :  (v1_xreal_0(E) =>  (D=k1_rlvect_1(k11_lopban_1(A, B), C, E) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => k12_lopban_1(A, B, D, F)=k1_rlvect_1(B, k12_lopban_1(A, B, C, F), E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  => k4_struct_0(k11_lopban_1(A, B))=k8_funcop_1(u1_struct_0(B), u1_struct_0(A), k4_struct_0(B))) ) ) ) ).
fof(d11_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (r2_hidden(C, k10_lopban_1(A, B)) => k13_lopban_1(A, B, C)=C) ) ) ) ) ) ).
fof(t27_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) &  (v2_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  => v4_xxreal_2(k14_lopban_1(A, B, C))) ) ) ) ) ) ).
fof(t28_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (v2_lopban_1(C, A, B) <=> v4_xxreal_2(k14_lopban_1(A, B, C))) ) ) ) ) ) ) ).
fof(d13_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k10_lopban_1(A, B), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k10_lopban_1(A, B), k1_numbers)))) )  =>  (C=k15_lopban_1(A, B) <=>  (! [D] :  (r2_hidden(D, k10_lopban_1(A, B)) => k1_funct_1(C, D)=k2_seq_4(k14_lopban_1(A, B, k13_lopban_1(A, B, D)))) ) ) ) ) ) ) ) ) ).
fof(t29_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) &  (v2_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  => r2_funct_2(u1_struct_0(A), u1_struct_0(B), k13_lopban_1(A, B, C), C)) ) ) ) ) ) ).
fof(t30_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) &  (v2_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  => k1_funct_1(k15_lopban_1(A, B), C)=k2_seq_4(k14_lopban_1(A, B, C))) ) ) ) ) ) ).
fof(d14_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  => k16_lopban_1(A, B)=g1_normsp_1(k10_lopban_1(A, B), k7_rsspace(k8_lopban_1(A, B), k10_lopban_1(A, B)), k5_rsspace(k8_lopban_1(A, B), k10_lopban_1(A, B)), k6_rsspace(k8_lopban_1(A, B), k10_lopban_1(A, B)), k15_lopban_1(A, B))) ) ) ) ).
fof(t31_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  => k8_funcop_1(u1_struct_0(B), u1_struct_0(A), k4_struct_0(B))=k4_struct_0(k16_lopban_1(A, B))) ) ) ) ).
fof(t32_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k16_lopban_1(A, B))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(D, A, B) &  (v1_lopban_1(D, A, B) &  (v2_lopban_1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (D=C =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => r1_xxreal_0(k2_normsp_0(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), D, E)), k3_xcmplx_0(k2_normsp_0(k16_lopban_1(A, B), C), k2_normsp_0(A, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k16_lopban_1(A, B))) => r1_xxreal_0(k5_numbers, k2_normsp_0(k16_lopban_1(A, B), C))) ) ) ) ) ) ).
fof(t34_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k16_lopban_1(A, B))) =>  (C=k4_struct_0(k16_lopban_1(A, B)) => k5_numbers=k2_normsp_0(k16_lopban_1(A, B), C)) ) ) ) ) ) ) ).
fof(t35_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k16_lopban_1(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k16_lopban_1(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k16_lopban_1(A, B))) =>  (E=k1_algstr_0(k16_lopban_1(A, B), C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => k17_lopban_1(A, B, E, F)=k3_rlvect_1(B, k17_lopban_1(A, B, C, F), k17_lopban_1(A, B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k16_lopban_1(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k16_lopban_1(A, B))) =>  (! [E] :  (v1_xreal_0(E) =>  (D=k1_rlvect_1(k16_lopban_1(A, B), C, E) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => k17_lopban_1(A, B, D, F)=k1_rlvect_1(B, k17_lopban_1(A, B, C, F), E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k16_lopban_1(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k16_lopban_1(A, B))) =>  (! [E] :  (v1_xreal_0(E) =>  ( (k2_normsp_0(k16_lopban_1(A, B), C)=k5_numbers => C=k4_struct_0(k16_lopban_1(A, B)))  &  ( (C=k4_struct_0(k16_lopban_1(A, B)) => k2_normsp_0(k16_lopban_1(A, B), C)=k5_numbers)  &  (k2_normsp_0(k16_lopban_1(A, B), k1_rlvect_1(k16_lopban_1(A, B), C, E))=k3_xcmplx_0(k9_complex1(E), k2_normsp_0(k16_lopban_1(A, B), C)) & r1_xxreal_0(k2_normsp_0(k16_lopban_1(A, B), k1_algstr_0(k16_lopban_1(A, B), C, D)), k2_xcmplx_0(k2_normsp_0(k16_lopban_1(A, B), C), k2_normsp_0(k16_lopban_1(A, B), D)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (v4_normsp_0(k16_lopban_1(A, B)) &  (v3_normsp_0(k16_lopban_1(A, B)) & v2_normsp_1(k16_lopban_1(A, B))) ) ) ) ) ) ).
fof(t39_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k16_lopban_1(A, B)))  &  (v13_algstr_0(k16_lopban_1(A, B)) &  (v2_rlvect_1(k16_lopban_1(A, B)) &  (v3_rlvect_1(k16_lopban_1(A, B)) &  (v4_rlvect_1(k16_lopban_1(A, B)) &  (v5_rlvect_1(k16_lopban_1(A, B)) &  (v6_rlvect_1(k16_lopban_1(A, B)) &  (v7_rlvect_1(k16_lopban_1(A, B)) &  (v8_rlvect_1(k16_lopban_1(A, B)) &  (v3_normsp_0(k16_lopban_1(A, B)) &  (v4_normsp_0(k16_lopban_1(A, B)) &  (v2_normsp_1(k16_lopban_1(A, B)) & l1_normsp_1(k16_lopban_1(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k16_lopban_1(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k16_lopban_1(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k16_lopban_1(A, B))) =>  (E=k5_algstr_0(k16_lopban_1(A, B), C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => k17_lopban_1(A, B, E, F)=k5_algstr_0(B, k17_lopban_1(A, B, C, F), k17_lopban_1(A, B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (v3_lopban_1(A) <=>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_rsspace3(B, A) => v3_normsp_1(B, A)) ) ) ) ) ) ).
fof(t41_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v3_normsp_1(B, A) =>  (v2_comseq_2(k5_normsp_0(A, B)) & k1_seq_2(k5_normsp_0(A, B))=k2_normsp_0(A, k5_normsp_1(A, B))) ) ) ) ) ) ).
fof(t42_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (v3_lopban_1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(k16_lopban_1(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k16_lopban_1(A, B)))))) )  =>  (v1_rsspace3(C, k16_lopban_1(A, B)) => v3_normsp_1(C, k16_lopban_1(A, B))) ) ) ) ) ) ) ) ).
fof(t43_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) &  (v3_lopban_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k16_lopban_1(A, B)))  &  (v13_algstr_0(k16_lopban_1(A, B)) &  (v2_rlvect_1(k16_lopban_1(A, B)) &  (v3_rlvect_1(k16_lopban_1(A, B)) &  (v4_rlvect_1(k16_lopban_1(A, B)) &  (v5_rlvect_1(k16_lopban_1(A, B)) &  (v6_rlvect_1(k16_lopban_1(A, B)) &  (v7_rlvect_1(k16_lopban_1(A, B)) &  (v8_rlvect_1(k16_lopban_1(A, B)) &  (v3_normsp_0(k16_lopban_1(A, B)) &  (v4_normsp_0(k16_lopban_1(A, B)) &  (v2_normsp_1(k16_lopban_1(A, B)) &  (v3_lopban_1(k16_lopban_1(A, B)) & l1_normsp_1(k16_lopban_1(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_lopban_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k1_numbers, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, B), B)))) )  &  (v1_xreal_0(D) &  (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) )  => m2_funct_2(k1_lopban_1(A, B, C, D, E), A, B, k9_funct_2(A, B))) ) ).
fof(redefinition_k1_lopban_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k1_numbers, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, B), B)))) )  &  (v1_xreal_0(D) &  (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) )  => k1_lopban_1(A, B, C, D, E)=k5_funcop_1(C, D, E)) ) ).
fof(dt_k2_lopban_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_struct_0(B))  & l2_algstr_0(B)) )  =>  (v1_funct_1(k2_lopban_1(A, B)) &  (v1_funct_2(k2_lopban_1(A, B), k2_zfmisc_1(k9_funct_2(A, u1_struct_0(B)), k9_funct_2(A, u1_struct_0(B))), k9_funct_2(A, u1_struct_0(B))) & m1_subset_1(k2_lopban_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, u1_struct_0(B)), k9_funct_2(A, u1_struct_0(B))), k9_funct_2(A, u1_struct_0(B)))))) ) ) ) ).
fof(dt_k3_lopban_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k3_lopban_1(A, B)) &  (v1_funct_2(k3_lopban_1(A, B), k2_zfmisc_1(k1_numbers, k9_funct_2(A, u1_struct_0(B))), k9_funct_2(A, u1_struct_0(B))) & m1_subset_1(k3_lopban_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k9_funct_2(A, u1_struct_0(B))), k9_funct_2(A, u1_struct_0(B)))))) ) ) ) ).
fof(dt_k4_lopban_1, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  => m2_funct_2(k4_lopban_1(A, B), A, u1_struct_0(B), k9_funct_2(A, u1_struct_0(B)))) ) ).
fof(dt_k5_lopban_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k5_lopban_1(A, B)))  &  (v13_algstr_0(k5_lopban_1(A, B)) &  (v2_rlvect_1(k5_lopban_1(A, B)) &  (v3_rlvect_1(k5_lopban_1(A, B)) &  (v4_rlvect_1(k5_lopban_1(A, B)) &  (v5_rlvect_1(k5_lopban_1(A, B)) &  (v6_rlvect_1(k5_lopban_1(A, B)) &  (v7_rlvect_1(k5_lopban_1(A, B)) &  (v8_rlvect_1(k5_lopban_1(A, B)) & l1_rlvect_1(k5_lopban_1(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k6_lopban_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(k5_lopban_1(A, B))) & m1_subset_1(D, A)) ) )  => m1_subset_1(k6_lopban_1(A, B, C, D), u1_struct_0(B))) ) ).
fof(redefinition_k6_lopban_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(k5_lopban_1(A, B))) & m1_subset_1(D, A)) ) )  => k6_lopban_1(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(dt_k7_lopban_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) ) )  => m1_subset_1(k7_lopban_1(A, B), k1_zfmisc_1(u1_struct_0(k5_lopban_1(u1_struct_0(A), B))))) ) ).
fof(dt_k8_lopban_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k8_lopban_1(A, B)))  &  (v13_algstr_0(k8_lopban_1(A, B)) &  (v2_rlvect_1(k8_lopban_1(A, B)) &  (v3_rlvect_1(k8_lopban_1(A, B)) &  (v4_rlvect_1(k8_lopban_1(A, B)) &  (v5_rlvect_1(k8_lopban_1(A, B)) &  (v6_rlvect_1(k8_lopban_1(A, B)) &  (v7_rlvect_1(k8_lopban_1(A, B)) &  (v8_rlvect_1(k8_lopban_1(A, B)) & l1_rlvect_1(k8_lopban_1(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k9_lopban_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(k8_lopban_1(A, B))) & m1_subset_1(D, u1_struct_0(A))) ) )  => m1_subset_1(k9_lopban_1(A, B, C, D), u1_struct_0(B))) ) ).
fof(redefinition_k9_lopban_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(k8_lopban_1(A, B))) & m1_subset_1(D, u1_struct_0(A))) ) )  => k9_lopban_1(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(dt_k10_lopban_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  => m1_subset_1(k10_lopban_1(A, B), k1_zfmisc_1(u1_struct_0(k8_lopban_1(A, B))))) ) ).
fof(dt_k11_lopban_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k11_lopban_1(A, B)))  &  (v13_algstr_0(k11_lopban_1(A, B)) &  (v2_rlvect_1(k11_lopban_1(A, B)) &  (v3_rlvect_1(k11_lopban_1(A, B)) &  (v4_rlvect_1(k11_lopban_1(A, B)) &  (v5_rlvect_1(k11_lopban_1(A, B)) &  (v6_rlvect_1(k11_lopban_1(A, B)) &  (v7_rlvect_1(k11_lopban_1(A, B)) &  (v8_rlvect_1(k11_lopban_1(A, B)) & l1_rlvect_1(k11_lopban_1(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k12_lopban_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(k11_lopban_1(A, B))) & m1_subset_1(D, u1_struct_0(A))) ) )  => m1_subset_1(k12_lopban_1(A, B, C, D), u1_struct_0(B))) ) ).
fof(redefinition_k12_lopban_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(k11_lopban_1(A, B))) & m1_subset_1(D, u1_struct_0(A))) ) )  => k12_lopban_1(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(dt_k13_lopban_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k13_lopban_1(A, B, C)) &  (v1_funct_2(k13_lopban_1(A, B, C), u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(k13_lopban_1(A, B, C), A, B) &  (v1_lopban_1(k13_lopban_1(A, B, C), A, B) &  (v2_lopban_1(k13_lopban_1(A, B, C), A, B) & m1_subset_1(k13_lopban_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) ) ) ).
fof(dt_k14_lopban_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k14_lopban_1(A, B, C)))  & m1_subset_1(k14_lopban_1(A, B, C), k1_zfmisc_1(k1_numbers))) ) ) ).
fof(dt_k15_lopban_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k15_lopban_1(A, B)) &  (v1_funct_2(k15_lopban_1(A, B), k10_lopban_1(A, B), k1_numbers) & m1_subset_1(k15_lopban_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k10_lopban_1(A, B), k1_numbers)))) ) ) ) ).
fof(dt_k16_lopban_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k16_lopban_1(A, B)))  & l1_normsp_1(k16_lopban_1(A, B))) ) ) ).
fof(dt_k17_lopban_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(k16_lopban_1(A, B))) & m1_subset_1(D, u1_struct_0(A))) ) )  => m1_subset_1(k17_lopban_1(A, B, C, D), u1_struct_0(B))) ) ).
fof(redefinition_k17_lopban_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(k16_lopban_1(A, B))) & m1_subset_1(D, u1_struct_0(A))) ) )  => k17_lopban_1(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(d12_lopban_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  => k14_lopban_1(A, B, C)=a_3_0_lopban_1(A, B, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_lopban_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(D, B, C) &  (v1_lopban_1(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) ) )  =>  (r2_hidden(A, a_3_0_lopban_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k2_normsp_0(C, k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, E)) & r1_xxreal_0(k2_normsp_0(B, E), 1)) ) ) ) ) ) ).
fof(fc1_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k7_lopban_2(A)))  & v36_algstr_0(k7_lopban_2(A))) ) ) ).
fof(fc2_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  => v1_group_1(k7_lopban_2(A))) ) ).
fof(fc3_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (v13_algstr_0(k7_lopban_2(A)) &  (v2_rlvect_1(k7_lopban_2(A)) &  (v3_rlvect_1(k7_lopban_2(A)) &  (v4_rlvect_1(k7_lopban_2(A)) &  (v3_vectsp_1(k7_lopban_2(A)) &  (v4_vectsp_1(k7_lopban_2(A)) &  (v5_vectsp_1(k7_lopban_2(A)) &  (v6_vectsp_1(k7_lopban_2(A)) & v3_group_1(k7_lopban_2(A))) ) ) ) ) ) ) ) ) ) ).
fof(fc4_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k8_lopban_2(A)))  & v1_funcsdom(k8_lopban_2(A))) ) ) ).
fof(fc5_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  => v1_group_1(k8_lopban_2(A))) ) ).
fof(fc6_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (v13_algstr_0(k8_lopban_2(A)) &  (v2_rlvect_1(k8_lopban_2(A)) &  (v3_rlvect_1(k8_lopban_2(A)) &  (v4_rlvect_1(k8_lopban_2(A)) &  (v5_rlvect_1(k8_lopban_2(A)) &  (v6_rlvect_1(k8_lopban_2(A)) &  (v7_rlvect_1(k8_lopban_2(A)) &  (v1_funcsdom(k8_lopban_2(A)) &  (v2_funcsdom(k8_lopban_2(A)) &  (v1_vectsp_1(k8_lopban_2(A)) &  (v3_vectsp_1(k8_lopban_2(A)) & v3_group_1(k8_lopban_2(A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc7_lopban_2, axiom,  ( ~ (v2_struct_0(k3_rsspace3))  & v3_lopban_1(k3_rsspace3)) ).
fof(fc8_lopban_2, axiom,  ( ~ (v2_struct_0(k3_rsspace3))  &  ~ (v7_struct_0(k3_rsspace3)) ) ).
fof(rc1_lopban_2, axiom,  (? [A] :  (l1_normsp_1(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v12_algstr_0(A) &  (v13_algstr_0(A) &  (v14_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v9_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & v3_lopban_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_lopban_2, axiom,  (? [A] :  (l1_lopban_2(A) & v1_lopban_2(A)) ) ).
fof(rc3_lopban_2, axiom,  (? [A] :  (l1_lopban_2(A) &  ~ (v2_struct_0(A)) ) ) ).
fof(fc9_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k9_lopban_2(A)))  & v1_lopban_2(k9_lopban_2(A))) ) ) ).
fof(fc10_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  => v1_group_1(k9_lopban_2(A))) ) ).
fof(rc4_lopban_2, axiom,  (? [A] :  (l1_lopban_2(A) &  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_funcsdom(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) & v1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc11_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (v13_algstr_0(k9_lopban_2(A)) &  (v2_rlvect_1(k9_lopban_2(A)) &  (v3_rlvect_1(k9_lopban_2(A)) &  (v4_rlvect_1(k9_lopban_2(A)) &  (v5_rlvect_1(k9_lopban_2(A)) &  (v6_rlvect_1(k9_lopban_2(A)) &  (v7_rlvect_1(k9_lopban_2(A)) &  (v8_rlvect_1(k9_lopban_2(A)) &  (v2_funcsdom(k9_lopban_2(A)) &  (v3_normsp_0(k9_lopban_2(A)) &  (v4_normsp_0(k9_lopban_2(A)) &  (v2_normsp_1(k9_lopban_2(A)) &  (v1_vectsp_1(k9_lopban_2(A)) &  (v3_vectsp_1(k9_lopban_2(A)) & v3_group_1(k9_lopban_2(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_lopban_2, axiom,  (! [A] :  (l1_lopban_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_funcsdom(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) & v5_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_funcsdom(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v1_vectsp_1(A) &  (v2_vectsp_1(A) &  (v3_vectsp_1(A) &  (v6_vectsp_1(A) &  (v3_lopban_1(A) &  (v3_group_1(A) &  (v2_lopban_2(A) &  (v3_lopban_2(A) & v4_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc2_lopban_2, axiom,  (! [A] :  (l1_lopban_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_funcsdom(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v1_vectsp_1(A) &  (v2_vectsp_1(A) &  (v3_vectsp_1(A) &  (v6_vectsp_1(A) &  (v3_lopban_1(A) &  (v3_group_1(A) &  (v2_lopban_2(A) &  (v3_lopban_2(A) & v4_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_funcsdom(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) & v5_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc12_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) )  => v5_lopban_2(k9_lopban_2(A))) ) ).
fof(rc5_lopban_2, axiom,  (? [A] :  (l1_lopban_2(A) &  ( ~ (v2_struct_0(A))  &  (v12_algstr_0(A) &  (v13_algstr_0(A) &  (v14_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v9_rlvect_1(A) &  (v2_funcsdom(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) & v5_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) & l1_rlvect_1(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(D, A, B) &  (v1_lopban_1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(E, B, C) &  (v1_lopban_1(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  (v1_funct_1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E)) &  (v1_funct_2(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), u1_struct_0(A), u1_struct_0(C)) &  (v13_vectsp_1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), A, C) &  (v1_lopban_1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), A, C) & m1_subset_1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(D, A, B) &  (v1_lopban_1(D, A, B) &  (v2_lopban_1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(E, B, C) &  (v1_lopban_1(E, B, C) &  (v2_lopban_1(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) )  =>  ( (v1_funct_1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E)) &  (v1_funct_2(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), u1_struct_0(A), u1_struct_0(C)) &  (v13_vectsp_1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), A, C) &  (v1_lopban_1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), A, C) &  (v2_lopban_1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), A, C) & m1_subset_1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C))))) ) ) ) )  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r1_xxreal_0(k2_normsp_0(C, k3_funct_2(u1_struct_0(A), u1_struct_0(C), k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), F)), k3_xcmplx_0(k3_xcmplx_0(k1_funct_1(k15_lopban_1(B, C), E), k1_funct_1(k15_lopban_1(A, B), D)), k2_normsp_0(A, F))) & r1_xxreal_0(k1_funct_1(k15_lopban_1(A, C), k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E)), k3_xcmplx_0(k1_funct_1(k15_lopban_1(B, C), E), k1_funct_1(k15_lopban_1(A, B), D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k8_lopban_1(A, A)), k10_lopban_1(A, A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(k8_lopban_1(A, A)), k10_lopban_1(A, A)) => k2_lopban_2(A, B, C)=k4_binop_1(k10_lopban_1(A, A), k5_rsspace(k8_lopban_1(A, A), k10_lopban_1(A, A)), B, C)) ) ) ) ) ) ).
fof(d2_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k8_lopban_1(A, A)), k10_lopban_1(A, A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(k8_lopban_1(A, A)), k10_lopban_1(A, A)) => k3_lopban_2(A, B, C)=k1_lopban_2(A, k13_lopban_1(A, A, B), k13_lopban_1(A, A, C))) ) ) ) ) ) ).
fof(d3_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k8_lopban_1(A, A)), k10_lopban_1(A, A)) =>  (! [C] :  (v1_xreal_0(C) => k4_lopban_2(A, B, C)=k1_binop_1(k6_rsspace(k8_lopban_1(A, A), k10_lopban_1(A, A)), C, B)) ) ) ) ) ) ).
fof(d4_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k10_lopban_1(A, A), k10_lopban_1(A, A)), k10_lopban_1(A, A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k10_lopban_1(A, A), k10_lopban_1(A, A)), k10_lopban_1(A, A))))) )  =>  (B=k5_lopban_2(A) <=>  (! [C] :  (m2_subset_1(C, u1_struct_0(k8_lopban_1(A, A)), k10_lopban_1(A, A)) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(k8_lopban_1(A, A)), k10_lopban_1(A, A)) => k4_binop_1(k10_lopban_1(A, A), B, C, D)=k3_lopban_2(A, D, C)) ) ) ) ) ) ) ) ) ).
fof(t3_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k6_partfun1(u1_struct_0(A))) &  (v1_funct_2(k6_partfun1(u1_struct_0(A)), u1_struct_0(A), u1_struct_0(A)) &  (v13_vectsp_1(k6_partfun1(u1_struct_0(A)), A, A) &  (v1_lopban_1(k6_partfun1(u1_struct_0(A)), A, A) &  (v2_lopban_1(k6_partfun1(u1_struct_0(A)), A, A) & m1_subset_1(k6_partfun1(u1_struct_0(A)), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ) ) ) ).
fof(d5_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  => k6_lopban_2(A)=k6_partfun1(u1_struct_0(A))) ) ).
fof(t4_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v13_vectsp_1(B, A, A) &  (v1_lopban_1(B, A, A) &  (v2_lopban_1(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(A)) &  (v13_vectsp_1(C, A, A) &  (v1_lopban_1(C, A, A) &  (v2_lopban_1(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(A)) &  (v13_vectsp_1(D, A, A) &  (v1_lopban_1(D, A, A) &  (v2_lopban_1(D, A, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) )  =>  (r2_funct_2(u1_struct_0(A), u1_struct_0(A), D, k1_lopban_2(A, C, B)) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(A), D, E)=k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, k3_funct_2(u1_struct_0(A), u1_struct_0(A), C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v13_vectsp_1(B, A, A) &  (v1_lopban_1(B, A, A) &  (v2_lopban_1(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(A)) &  (v13_vectsp_1(C, A, A) &  (v1_lopban_1(C, A, A) &  (v2_lopban_1(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(A)) &  (v13_vectsp_1(D, A, A) &  (v1_lopban_1(D, A, A) &  (v2_lopban_1(D, A, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) )  => r2_funct_2(u1_struct_0(A), u1_struct_0(A), k1_lopban_2(A, k1_lopban_2(A, D, C), B), k1_lopban_2(A, D, k1_lopban_2(A, C, B)))) ) ) ) ) ) ) ) ).
fof(t6_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v13_vectsp_1(B, A, A) &  (v1_lopban_1(B, A, A) &  (v2_lopban_1(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) )  =>  (r2_funct_2(u1_struct_0(A), u1_struct_0(A), k1_partfun1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), k6_partfun1(u1_struct_0(A)), B), B) & r2_funct_2(u1_struct_0(A), u1_struct_0(A), k1_partfun1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), B, k6_partfun1(u1_struct_0(A))), B)) ) ) ) ) ).
fof(t7_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k8_lopban_1(A, A)), k10_lopban_1(A, A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(k8_lopban_1(A, A)), k10_lopban_1(A, A)) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(k8_lopban_1(A, A)), k10_lopban_1(A, A)) => k3_lopban_2(A, k3_lopban_2(A, D, C), B)=k3_lopban_2(A, D, k3_lopban_2(A, C, B))) ) ) ) ) ) ) ) ).
fof(t8_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k8_lopban_1(A, A)), k10_lopban_1(A, A)) =>  (k3_lopban_2(A, k6_lopban_2(A), B)=B & k3_lopban_2(A, B, k6_lopban_2(A))=B) ) ) ) ) ).
fof(t9_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k8_lopban_1(A, A)), k10_lopban_1(A, A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(k8_lopban_1(A, A)), k10_lopban_1(A, A)) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(k8_lopban_1(A, A)), k10_lopban_1(A, A)) => k3_lopban_2(A, k2_lopban_2(A, C, D), B)=k2_lopban_2(A, k3_lopban_2(A, C, B), k3_lopban_2(A, D, B))) ) ) ) ) ) ) ) ).
fof(t10_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k8_lopban_1(A, A)), k10_lopban_1(A, A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(k8_lopban_1(A, A)), k10_lopban_1(A, A)) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(k8_lopban_1(A, A)), k10_lopban_1(A, A)) => k3_lopban_2(A, B, k2_lopban_2(A, C, D))=k2_lopban_2(A, k3_lopban_2(A, B, C), k3_lopban_2(A, B, D))) ) ) ) ) ) ) ) ).
fof(t11_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k8_lopban_1(A, A)), k10_lopban_1(A, A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(k8_lopban_1(A, A)), k10_lopban_1(A, A)) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) => k4_lopban_2(A, k3_lopban_2(A, C, B), k3_xcmplx_0(D, E))=k3_lopban_2(A, k4_lopban_2(A, C, E), k4_lopban_2(A, B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t12_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(k8_lopban_1(A, A)), k10_lopban_1(A, A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(k8_lopban_1(A, A)), k10_lopban_1(A, A)) =>  (! [D] :  (v1_xreal_0(D) => k4_lopban_2(A, k3_lopban_2(A, C, B), D)=k3_lopban_2(A, C, k4_lopban_2(A, B, D))) ) ) ) ) ) ) ) ).
fof(d6_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  => k7_lopban_2(A)=g6_algstr_0(k10_lopban_1(A, A), k5_rsspace(k8_lopban_1(A, A), k10_lopban_1(A, A)), k5_lopban_2(A), k6_lopban_2(A), k7_rsspace(k8_lopban_1(A, A), k10_lopban_1(A, A)))) ) ).
fof(t13_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k7_lopban_2(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_lopban_2(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_lopban_2(A))) =>  (k1_algstr_0(k7_lopban_2(A), B, C)=k1_algstr_0(k7_lopban_2(A), C, B) &  (k1_algstr_0(k7_lopban_2(A), k1_algstr_0(k7_lopban_2(A), B, C), D)=k1_algstr_0(k7_lopban_2(A), B, k1_algstr_0(k7_lopban_2(A), C, D)) &  (k1_algstr_0(k7_lopban_2(A), B, k4_struct_0(k7_lopban_2(A)))=B &  ( (? [E] :  (m1_subset_1(E, u1_struct_0(k7_lopban_2(A))) & k1_algstr_0(k7_lopban_2(A), B, E)=k4_struct_0(k7_lopban_2(A))) )  &  (k6_algstr_0(k7_lopban_2(A), k6_algstr_0(k7_lopban_2(A), B, C), D)=k6_algstr_0(k7_lopban_2(A), B, k6_algstr_0(k7_lopban_2(A), C, D)) &  (k6_algstr_0(k7_lopban_2(A), B, k5_struct_0(k7_lopban_2(A)))=B &  (k6_algstr_0(k7_lopban_2(A), k5_struct_0(k7_lopban_2(A)), B)=B &  (k6_algstr_0(k7_lopban_2(A), B, k1_algstr_0(k7_lopban_2(A), C, D))=k1_algstr_0(k7_lopban_2(A), k6_algstr_0(k7_lopban_2(A), B, C), k6_algstr_0(k7_lopban_2(A), B, D)) & k6_algstr_0(k7_lopban_2(A), k1_algstr_0(k7_lopban_2(A), C, D), B)=k1_algstr_0(k7_lopban_2(A), k6_algstr_0(k7_lopban_2(A), C, B), k6_algstr_0(k7_lopban_2(A), D, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k7_lopban_2(A)))  &  (v13_algstr_0(k7_lopban_2(A)) &  (v2_rlvect_1(k7_lopban_2(A)) &  (v3_rlvect_1(k7_lopban_2(A)) &  (v4_rlvect_1(k7_lopban_2(A)) &  (v4_vectsp_1(k7_lopban_2(A)) &  (v5_vectsp_1(k7_lopban_2(A)) &  (v3_group_1(k7_lopban_2(A)) & l6_algstr_0(k7_lopban_2(A))) ) ) ) ) ) ) ) ) ) ).
fof(d7_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  => k8_lopban_2(A)=g1_funcsdom(k10_lopban_1(A, A), k5_lopban_2(A), k5_rsspace(k8_lopban_1(A, A), k10_lopban_1(A, A)), k6_rsspace(k8_lopban_1(A, A), k10_lopban_1(A, A)), k6_lopban_2(A), k7_rsspace(k8_lopban_1(A, A), k10_lopban_1(A, A)))) ) ).
fof(t15_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k8_lopban_2(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k8_lopban_2(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k8_lopban_2(A))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (k1_algstr_0(k8_lopban_2(A), B, C)=k1_algstr_0(k8_lopban_2(A), C, B) &  (k1_algstr_0(k8_lopban_2(A), k1_algstr_0(k8_lopban_2(A), B, C), D)=k1_algstr_0(k8_lopban_2(A), B, k1_algstr_0(k8_lopban_2(A), C, D)) &  (k1_algstr_0(k8_lopban_2(A), B, k4_struct_0(k8_lopban_2(A)))=B &  ( (? [G] :  (m1_subset_1(G, u1_struct_0(k8_lopban_2(A))) & k1_algstr_0(k8_lopban_2(A), B, G)=k4_struct_0(k8_lopban_2(A))) )  &  (k6_algstr_0(k8_lopban_2(A), k6_algstr_0(k8_lopban_2(A), B, C), D)=k6_algstr_0(k8_lopban_2(A), B, k6_algstr_0(k8_lopban_2(A), C, D)) &  (k6_algstr_0(k8_lopban_2(A), B, k5_struct_0(k8_lopban_2(A)))=B &  (k6_algstr_0(k8_lopban_2(A), k5_struct_0(k8_lopban_2(A)), B)=B &  (k6_algstr_0(k8_lopban_2(A), B, k1_algstr_0(k8_lopban_2(A), C, D))=k1_algstr_0(k8_lopban_2(A), k6_algstr_0(k8_lopban_2(A), B, C), k6_algstr_0(k8_lopban_2(A), B, D)) &  (k6_algstr_0(k8_lopban_2(A), k1_algstr_0(k8_lopban_2(A), C, D), B)=k1_algstr_0(k8_lopban_2(A), k6_algstr_0(k8_lopban_2(A), C, B), k6_algstr_0(k8_lopban_2(A), D, B)) &  (k1_rlvect_1(k8_lopban_2(A), k6_algstr_0(k8_lopban_2(A), B, C), E)=k6_algstr_0(k8_lopban_2(A), k1_rlvect_1(k8_lopban_2(A), B, E), C) &  (k1_rlvect_1(k8_lopban_2(A), k1_algstr_0(k8_lopban_2(A), B, C), E)=k1_algstr_0(k8_lopban_2(A), k1_rlvect_1(k8_lopban_2(A), B, E), k1_rlvect_1(k8_lopban_2(A), C, E)) &  (k1_rlvect_1(k8_lopban_2(A), B, k2_xcmplx_0(E, F))=k1_algstr_0(k8_lopban_2(A), k1_rlvect_1(k8_lopban_2(A), B, E), k1_rlvect_1(k8_lopban_2(A), B, F)) &  (k1_rlvect_1(k8_lopban_2(A), B, k3_xcmplx_0(E, F))=k1_rlvect_1(k8_lopban_2(A), k1_rlvect_1(k8_lopban_2(A), B, F), E) & k1_rlvect_1(k8_lopban_2(A), k6_algstr_0(k8_lopban_2(A), B, C), k3_xcmplx_0(E, F))=k6_algstr_0(k8_lopban_2(A), k1_rlvect_1(k8_lopban_2(A), B, E), k1_rlvect_1(k8_lopban_2(A), C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k8_lopban_2(A)))  &  (v13_algstr_0(k8_lopban_2(A)) &  (v2_rlvect_1(k8_lopban_2(A)) &  (v3_rlvect_1(k8_lopban_2(A)) &  (v4_rlvect_1(k8_lopban_2(A)) &  (v5_rlvect_1(k8_lopban_2(A)) &  (v6_rlvect_1(k8_lopban_2(A)) &  (v7_rlvect_1(k8_lopban_2(A)) &  (v2_funcsdom(k8_lopban_2(A)) &  (v1_vectsp_1(k8_lopban_2(A)) &  (v3_vectsp_1(k8_lopban_2(A)) &  (v3_group_1(k8_lopban_2(A)) & l1_funcsdom(k8_lopban_2(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) & k2_normsp_0(A, B)=1) ) ) ) ).
fof(t18_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  => k1_funct_1(k15_lopban_1(A, A), k6_partfun1(u1_struct_0(A)))=1) ) ).
fof(d8_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  => k9_lopban_2(A)=g1_lopban_2(k10_lopban_1(A, A), k5_lopban_2(A), k5_rsspace(k8_lopban_1(A, A), k10_lopban_1(A, A)), k6_rsspace(k8_lopban_1(A, A), k10_lopban_1(A, A)), k6_lopban_2(A), k7_rsspace(k8_lopban_1(A, A), k10_lopban_1(A, A)), k15_lopban_1(A, A))) ) ).
fof(t19_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_lopban_2(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_lopban_2(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_lopban_2(A))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (k1_algstr_0(k9_lopban_2(A), B, C)=k1_algstr_0(k9_lopban_2(A), C, B) &  (k1_algstr_0(k9_lopban_2(A), k1_algstr_0(k9_lopban_2(A), B, C), D)=k1_algstr_0(k9_lopban_2(A), B, k1_algstr_0(k9_lopban_2(A), C, D)) &  (k1_algstr_0(k9_lopban_2(A), B, k4_struct_0(k9_lopban_2(A)))=B &  ( (? [G] :  (m1_subset_1(G, u1_struct_0(k9_lopban_2(A))) & k1_algstr_0(k9_lopban_2(A), B, G)=k4_struct_0(k9_lopban_2(A))) )  &  (k6_algstr_0(k9_lopban_2(A), k6_algstr_0(k9_lopban_2(A), B, C), D)=k6_algstr_0(k9_lopban_2(A), B, k6_algstr_0(k9_lopban_2(A), C, D)) &  (k6_algstr_0(k9_lopban_2(A), B, k5_struct_0(k9_lopban_2(A)))=B &  (k6_algstr_0(k9_lopban_2(A), k5_struct_0(k9_lopban_2(A)), B)=B &  (k6_algstr_0(k9_lopban_2(A), B, k1_algstr_0(k9_lopban_2(A), C, D))=k1_algstr_0(k9_lopban_2(A), k6_algstr_0(k9_lopban_2(A), B, C), k6_algstr_0(k9_lopban_2(A), B, D)) &  (k6_algstr_0(k9_lopban_2(A), k1_algstr_0(k9_lopban_2(A), C, D), B)=k1_algstr_0(k9_lopban_2(A), k6_algstr_0(k9_lopban_2(A), C, B), k6_algstr_0(k9_lopban_2(A), D, B)) &  (k1_rlvect_1(k9_lopban_2(A), k6_algstr_0(k9_lopban_2(A), B, C), E)=k6_algstr_0(k9_lopban_2(A), k1_rlvect_1(k9_lopban_2(A), B, E), C) &  (k1_rlvect_1(k9_lopban_2(A), k6_algstr_0(k9_lopban_2(A), B, C), k3_xcmplx_0(E, F))=k6_algstr_0(k9_lopban_2(A), k1_rlvect_1(k9_lopban_2(A), B, E), k1_rlvect_1(k9_lopban_2(A), C, F)) &  (k1_rlvect_1(k9_lopban_2(A), k1_algstr_0(k9_lopban_2(A), B, C), E)=k1_algstr_0(k9_lopban_2(A), k1_rlvect_1(k9_lopban_2(A), B, E), k1_rlvect_1(k9_lopban_2(A), C, E)) &  (k1_rlvect_1(k9_lopban_2(A), B, k2_xcmplx_0(E, F))=k1_algstr_0(k9_lopban_2(A), k1_rlvect_1(k9_lopban_2(A), B, E), k1_rlvect_1(k9_lopban_2(A), B, F)) &  (k1_rlvect_1(k9_lopban_2(A), B, k3_xcmplx_0(E, F))=k1_rlvect_1(k9_lopban_2(A), k1_rlvect_1(k9_lopban_2(A), B, F), E) & k1_rlvect_1(k9_lopban_2(A), B, 1)=B) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (v4_normsp_0(k9_lopban_2(A)) &  (v3_normsp_0(k9_lopban_2(A)) &  (v2_normsp_1(k9_lopban_2(A)) &  (v2_rlvect_1(k9_lopban_2(A)) &  (v3_rlvect_1(k9_lopban_2(A)) &  (v4_rlvect_1(k9_lopban_2(A)) &  (v13_algstr_0(k9_lopban_2(A)) &  (v3_group_1(k9_lopban_2(A)) &  (v3_vectsp_1(k9_lopban_2(A)) &  (v1_vectsp_1(k9_lopban_2(A)) &  (v5_rlvect_1(k9_lopban_2(A)) &  (v6_rlvect_1(k9_lopban_2(A)) &  (v7_rlvect_1(k9_lopban_2(A)) &  (v2_funcsdom(k9_lopban_2(A)) &  (v5_rlvect_1(k9_lopban_2(A)) &  (v6_rlvect_1(k9_lopban_2(A)) &  (v7_rlvect_1(k9_lopban_2(A)) & v8_rlvect_1(k9_lopban_2(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lopban_2(A))  =>  (v2_lopban_2(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_xxreal_0(k2_normsp_0(A, k6_algstr_0(A, B, C)), k3_xcmplx_0(k2_normsp_0(A, B), k2_normsp_0(A, C)))) ) ) ) ) ) ) ).
fof(d10_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lopban_2(A))  =>  (v3_lopban_2(A) <=> k2_normsp_0(A, k5_struct_0(A))=1) ) ) ).
fof(d11_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lopban_2(A))  =>  (v4_lopban_2(A) <=>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_rlvect_1(A, k6_algstr_0(A, C, D), B)=k6_algstr_0(A, C, k1_rlvect_1(A, D, B))) ) ) ) ) ) ) ) ) ).
fof(d12_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v2_funcsdom(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (v5_lopban_2(A) <=>  (v2_lopban_2(A) &  (v3_lopban_2(A) &  (v4_lopban_2(A) &  (v6_vectsp_1(A) &  (v2_vectsp_1(A) & v3_lopban_1(A)) ) ) ) ) ) ) ) ).
fof(t21_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  => k5_struct_0(k7_lopban_2(A))=k6_lopban_2(A)) ) ).
fof(t22_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  => k5_struct_0(k8_lopban_2(A))=k6_lopban_2(A)) ) ).
fof(t23_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  => k5_struct_0(k9_lopban_2(A))=k6_lopban_2(A)) ) ).
fof(dt_k1_lopban_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v13_vectsp_1(B, A, A) &  (v1_lopban_1(B, A, A) &  (v2_lopban_1(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(A)) &  (v13_vectsp_1(C, A, A) &  (v1_lopban_1(C, A, A) &  (v2_lopban_1(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ) ) )  =>  (v1_funct_1(k1_lopban_2(A, B, C)) &  (v1_funct_2(k1_lopban_2(A, B, C), u1_struct_0(A), u1_struct_0(A)) &  (v13_vectsp_1(k1_lopban_2(A, B, C), A, A) &  (v1_lopban_1(k1_lopban_2(A, B, C), A, A) &  (v2_lopban_1(k1_lopban_2(A, B, C), A, A) & m1_subset_1(k1_lopban_2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ) ) ) ).
fof(redefinition_k1_lopban_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v13_vectsp_1(B, A, A) &  (v1_lopban_1(B, A, A) &  (v2_lopban_1(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(A)) &  (v13_vectsp_1(C, A, A) &  (v1_lopban_1(C, A, A) &  (v2_lopban_1(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ) ) )  => k1_lopban_2(A, B, C)=k3_relat_1(B, C)) ) ).
fof(dt_k2_lopban_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, k10_lopban_1(A, A)) & m1_subset_1(C, k10_lopban_1(A, A))) )  => m2_subset_1(k2_lopban_2(A, B, C), u1_struct_0(k8_lopban_1(A, A)), k10_lopban_1(A, A))) ) ).
fof(dt_k3_lopban_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, k10_lopban_1(A, A)) & m1_subset_1(C, k10_lopban_1(A, A))) )  => m2_subset_1(k3_lopban_2(A, B, C), u1_struct_0(k8_lopban_1(A, A)), k10_lopban_1(A, A))) ) ).
fof(dt_k4_lopban_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, k10_lopban_1(A, A)) & v1_xreal_0(C)) )  => m2_subset_1(k4_lopban_2(A, B, C), u1_struct_0(k8_lopban_1(A, A)), k10_lopban_1(A, A))) ) ).
fof(dt_k5_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k5_lopban_2(A)) &  (v1_funct_2(k5_lopban_2(A), k2_zfmisc_1(k10_lopban_1(A, A), k10_lopban_1(A, A)), k10_lopban_1(A, A)) & m1_subset_1(k5_lopban_2(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k10_lopban_1(A, A), k10_lopban_1(A, A)), k10_lopban_1(A, A))))) ) ) ) ).
fof(dt_k6_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  => m2_subset_1(k6_lopban_2(A), u1_struct_0(k8_lopban_1(A, A)), k10_lopban_1(A, A))) ) ).
fof(dt_k7_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  => l6_algstr_0(k7_lopban_2(A))) ) ).
fof(dt_k8_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  => l1_funcsdom(k8_lopban_2(A))) ) ).
fof(abstractness_v1_lopban_2, axiom,  (! [A] :  (l1_lopban_2(A) =>  (v1_lopban_2(A) => A=g1_lopban_2(u1_struct_0(A), u2_algstr_0(A), u1_algstr_0(A), u1_rlvect_1(A), u3_struct_0(A), u2_struct_0(A), u1_normsp_0(A))) ) ) ).
fof(dt_l1_lopban_2, axiom,  (! [A] :  (l1_lopban_2(A) =>  (l1_funcsdom(A) & l1_normsp_1(A)) ) ) ).
fof(existence_l1_lopban_2, axiom,  (? [A] : l1_lopban_2(A)) ).
fof(dt_g1_lopban_2, axiom,  (! [A, B, C, D, E, F, G] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k1_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, A), A)))) )  &  (m1_subset_1(E, A) &  (m1_subset_1(F, A) &  (v1_funct_1(G) &  (v1_funct_2(G, A, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ) )  =>  (v1_lopban_2(g1_lopban_2(A, B, C, D, E, F, G)) & l1_lopban_2(g1_lopban_2(A, B, C, D, E, F, G))) ) ) ).
fof(free_g1_lopban_2, axiom,  (! [A, B, C, D, E, F, G] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k1_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, A), A)))) )  &  (m1_subset_1(E, A) &  (m1_subset_1(F, A) &  (v1_funct_1(G) &  (v1_funct_2(G, A, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ) )  =>  (! [H, I, J, K, L, M, N] :  (g1_lopban_2(A, B, C, D, E, F, G)=g1_lopban_2(H, I, J, K, L, M, N) =>  (A=H &  (B=I &  (C=J &  (D=K &  (E=L &  (F=M & G=N) ) ) ) ) ) ) ) ) ) ).
fof(dt_k9_lopban_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  => l1_lopban_2(k9_lopban_2(A))) ) ).
fof(rc1_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & v1_lopban_3(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & v2_lopban_3(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_lopban_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v2_lopban_3(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (v1_funct_1(k3_normsp_0(A, B)) &  (v1_funct_2(k3_normsp_0(A, B), k4_ordinal1, k1_numbers) & v1_series_1(k3_normsp_0(A, B))) ) ) ) ).
fof(cc1_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & v1_lopban_3(B, A)) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & v3_normsp_1(B, A)) ) ) ) ) ) ) ).
fof(fc2_lopban_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_lopban_3(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_lopban_3(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k1_normsp_1(A, B, C)) &  (v1_funct_2(k1_normsp_1(A, B, C), k4_ordinal1, u1_struct_0(A)) & v1_lopban_3(k1_normsp_1(A, B, C), A)) ) ) ) ).
fof(fc3_lopban_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_lopban_3(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_lopban_3(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k2_normsp_1(A, B, C)) &  (v1_funct_2(k2_normsp_1(A, B, C), k4_ordinal1, u1_struct_0(A)) & v1_lopban_3(k2_normsp_1(A, B, C), A)) ) ) ) ).
fof(fc4_lopban_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_xreal_0(B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_lopban_3(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k4_normsp_1(A, C, B)) &  (v1_funct_2(k4_normsp_1(A, C, B), k4_ordinal1, u1_struct_0(A)) & v1_lopban_3(k4_normsp_1(A, C, B), A)) ) ) ) ).
fof(fc5_lopban_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_lopban_3(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  & v7_ordinal1(C)) )  =>  (v1_funct_1(k6_nat_1(B, C)) &  (v1_funct_2(k6_nat_1(B, C), k4_ordinal1, u1_struct_0(A)) & v1_lopban_3(k6_nat_1(B, C), A)) ) ) ) ).
fof(fc6_lopban_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v2_lopban_3(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (v1_funct_1(k2_series_1(k5_normsp_0(A, B))) &  (v1_funct_2(k2_series_1(k5_normsp_0(A, B)), k4_ordinal1, k1_numbers) & v1_seq_2(k2_series_1(k5_normsp_0(A, B)))) ) ) ) ).
fof(cc2_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & v2_lopban_3(B, A)) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & v1_lopban_3(B, A)) ) ) ) ) ) ) ).
fof(cc3_lopban_3, axiom,  (! [A] :  (l1_lopban_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) & v5_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v4_vectsp_1(A) &  (v3_group_1(A) & v5_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_normsp_1(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (! [C] :  (v7_ordinal1(C) => k1_normsp_0(A, B, C)=k4_struct_0(A)) )  =>  (! [C] :  (v7_ordinal1(C) => k1_normsp_0(A, k1_bhsp_4(A, B), C)=k4_struct_0(A)) ) ) ) ) ) ) ).
fof(d1_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_lopban_3(B, A) <=> v3_normsp_1(k1_bhsp_4(A, B), A)) ) ) ) ) ).
fof(d2_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => k1_lopban_3(A, B)=k5_normsp_1(A, k1_bhsp_4(A, B))) ) ) ) ).
fof(d3_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v2_lopban_3(B, A) <=> v1_series_1(k5_normsp_0(A, B))) ) ) ) ) ).
fof(t2_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k5_numbers, k8_nat_1(k1_numbers, k5_normsp_0(A, B), C))) ) ) ) ) ) ).
fof(t3_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_normsp_0(A, k5_algstr_0(A, B, C))=k2_normsp_0(A, k3_rlvect_1(A, k5_algstr_0(A, B, D), k5_algstr_0(A, D, C)))) ) ) ) ) ) ) ) ).
fof(t4_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v3_normsp_1(B, A) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  (r1_xxreal_0(D, E) & r1_xxreal_0(C, k2_normsp_0(A, k5_algstr_0(A, k1_normsp_0(A, B, E), k1_normsp_0(A, B, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_rsspace3(B, A) <=>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  (r1_xxreal_0(D, E) & r1_xxreal_0(C, k2_normsp_0(A, k5_algstr_0(A, k1_normsp_0(A, B, E), k1_normsp_0(A, B, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (! [C] :  (v7_ordinal1(C) => k1_normsp_0(A, B, C)=k4_struct_0(A)) )  =>  (! [C] :  (v7_ordinal1(C) => k8_nat_1(k1_numbers, k3_series_1(k5_normsp_0(A, B)), C)=k5_numbers) ) ) ) ) ) ) ).
fof(t7_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (m2_valued_0(C, u1_struct_0(A), B) & v3_normsp_1(B, A))  => v3_normsp_1(C, A)) ) ) ) ) ) ) ).
fof(t8_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (m2_valued_0(C, u1_struct_0(A), B) & v3_normsp_1(B, A))  => k5_normsp_1(A, C)=k5_normsp_1(A, B)) ) ) ) ) ) ) ).
fof(t9_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  (v7_ordinal1(D) =>  (v3_normsp_1(B, A) =>  (v3_normsp_1(k1_valued_0(u1_struct_0(A), B, D), A) & k5_normsp_1(A, k1_valued_0(u1_struct_0(A), B, D))=k5_normsp_1(A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t10_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v3_normsp_1(B, A) =>  ( (! [D] :  (v7_ordinal1(D) =>  ~ (r2_funct_2(k4_ordinal1, u1_struct_0(A), B, k1_valued_0(u1_struct_0(A), C, D))) ) )  | v3_normsp_1(C, A)) ) ) ) ) ) ) ) ).
fof(t11_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v3_normsp_1(B, A) =>  ( (! [D] :  (v7_ordinal1(D) =>  ~ (r2_funct_2(k4_ordinal1, u1_struct_0(A), B, k1_valued_0(u1_struct_0(A), C, D))) ) )  | k5_normsp_1(A, C)=k5_normsp_1(A, B)) ) ) ) ) ) ) ) ).
fof(t12_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v3_funct_1(B) => v3_normsp_1(B, A)) ) ) ) ) ).
fof(t13_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (! [C] :  (v7_ordinal1(C) => k1_normsp_0(A, B, C)=k4_struct_0(A)) )  => v2_lopban_3(B, A)) ) ) ) ) ).
fof(t14_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_lopban_3(B, A) =>  (v3_normsp_1(B, A) & k5_normsp_1(A, B)=k4_struct_0(A)) ) ) ) ) ) ).
fof(t15_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k1_normsp_1(A, k1_bhsp_4(A, B), k1_bhsp_4(A, C)), k1_bhsp_4(A, k1_normsp_1(A, B, C)))) ) ) ) ) ) ).
fof(t16_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k2_normsp_1(A, k1_bhsp_4(A, B), k1_bhsp_4(A, C)), k1_bhsp_4(A, k2_normsp_1(A, B, C)))) ) ) ) ) ) ).
fof(t17_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_lopban_3(B, A) & v1_lopban_3(C, A))  =>  (v1_lopban_3(k1_normsp_1(A, B, C), A) & k1_lopban_3(A, k1_normsp_1(A, B, C))=k3_rlvect_1(A, k1_lopban_3(A, B), k1_lopban_3(A, C))) ) ) ) ) ) ) ) ).
fof(t18_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_lopban_3(B, A) & v1_lopban_3(C, A))  =>  (v1_lopban_3(k2_normsp_1(A, B, C), A) & k1_lopban_3(A, k2_normsp_1(A, B, C))=k5_algstr_0(A, k1_lopban_3(A, B), k1_lopban_3(A, C))) ) ) ) ) ) ) ) ).
fof(t19_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v1_xreal_0(C) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k1_bhsp_4(A, k4_normsp_1(A, B, C)), k4_normsp_1(A, k1_bhsp_4(A, B), C))) ) ) ) ) ) ).
fof(t20_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_lopban_3(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  (v1_xreal_0(C) =>  (v1_lopban_3(k4_normsp_1(A, B, C), A) & k1_lopban_3(A, k4_normsp_1(A, B, C))=k1_rlvect_1(A, k1_lopban_3(A, B), C)) ) ) ) ) ) ) ).
fof(t21_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (! [D] :  (v7_ordinal1(D) => k1_normsp_0(A, C, D)=k1_normsp_0(A, B, k5_numbers)) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k1_bhsp_4(A, k1_valued_0(u1_struct_0(A), B, 1)), k2_normsp_1(A, k1_valued_0(u1_struct_0(A), k1_bhsp_4(A, B), 1), C))) ) ) ) ) ) ) ).
fof(t22_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_lopban_3(B, A) =>  (! [C] :  (v7_ordinal1(C) => v1_lopban_3(k1_valued_0(u1_struct_0(A), B, C), A)) ) ) ) ) ) ) ).
fof(t23_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_seq_2(k3_series_1(k5_normsp_0(A, B))) <=> v2_lopban_3(B, A)) ) ) ) ) ).
fof(t24_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_lopban_3(B, A) <=>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  (r1_xxreal_0(D, E) & r1_xxreal_0(C, k2_normsp_0(A, k5_algstr_0(A, k1_normsp_0(A, k1_bhsp_4(A, B), E), k1_normsp_0(A, k1_bhsp_4(A, B), D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(C, D) => r1_xxreal_0(k2_normsp_0(A, k5_algstr_0(A, k1_normsp_0(A, k1_bhsp_4(A, B), D), k1_normsp_0(A, k1_bhsp_4(A, B), C))), k9_complex1(k5_real_1(k8_nat_1(k1_numbers, k3_series_1(k5_normsp_0(A, B)), D), k8_nat_1(k1_numbers, k3_series_1(k5_normsp_0(A, B)), C))))) ) ) ) ) ) ) ) ) ).
fof(t26_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v2_lopban_3(B, A) => v1_lopban_3(B, A)) ) ) ) ) ).
fof(t27_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_series_1(B) =>  ( (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  (r1_xxreal_0(D, E) &  ~ (r1_xxreal_0(k2_normsp_0(A, k1_normsp_0(A, C, E)), k8_nat_1(k1_numbers, B, E))) ) ) ) ) )  | v2_lopban_3(C, A)) ) ) ) ) ) ) ) ).
fof(t28_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( ( (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(k5_numbers, k8_nat_1(k1_numbers, k5_normsp_0(A, B), D)) & r1_xxreal_0(k8_nat_1(k1_numbers, k5_normsp_0(A, B), D), k8_nat_1(k1_numbers, k5_normsp_0(A, C), D))) ) )  & v2_lopban_3(C, A))  =>  (v2_lopban_3(B, A) & r1_xxreal_0(k4_series_1(k5_normsp_0(A, B)), k4_series_1(k5_normsp_0(A, C)))) ) ) ) ) ) ) ) ).
fof(t29_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ~ ( ( (! [C] :  (v7_ordinal1(C) =>  ~ (r1_xxreal_0(k8_nat_1(k1_numbers, k5_normsp_0(A, B), C), k5_numbers)) ) )  &  ( (? [C] :  (v7_ordinal1(C) &  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(C, D) => r1_xxreal_0(1, k6_real_1(k8_nat_1(k1_numbers, k5_normsp_0(A, B), k1_nat_1(D, 1)), k8_nat_1(k1_numbers, k5_normsp_0(A, B), D)))) ) ) ) )  & v2_lopban_3(B, A)) ) ) ) ) ) ) ).
fof(t30_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( ( (! [D] :  (v7_ordinal1(D) => k8_nat_1(k1_numbers, C, D)=k1_power(D, k8_nat_1(k1_numbers, k5_normsp_0(A, B), D))) )  & v2_comseq_2(C))  =>  (r1_xxreal_0(1, k1_seq_2(C)) | v2_lopban_3(B, A)) ) ) ) ) ) ) ) ).
fof(t31_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( ( (! [D] :  (v7_ordinal1(D) => k8_nat_1(k1_numbers, C, D)=k1_power(D, k8_nat_1(k1_numbers, k5_normsp_0(A, B), D))) )  &  ( (? [D] :  (v7_ordinal1(D) &  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(D, E) => r1_xxreal_0(1, k8_nat_1(k1_numbers, C, E))) ) ) ) )  & v1_series_1(k5_normsp_0(A, B))) ) ) ) ) ) ) ) ) ).
fof(t32_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( ( (! [D] :  (v7_ordinal1(D) => k8_nat_1(k1_numbers, C, D)=k1_power(D, k8_nat_1(k1_numbers, k5_normsp_0(A, B), D))) )  &  (v2_comseq_2(C) &  ( ~ (r1_xxreal_0(k1_seq_2(C), 1))  & v2_lopban_3(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(t33_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v8_valued_0(k5_normsp_0(A, B)) &  (! [D] :  (v7_ordinal1(D) => k8_nat_1(k1_numbers, C, D)=k3_xcmplx_0(k2_power(2, D), k1_funct_1(k5_normsp_0(A, B), k2_power(2, D)))) ) )  =>  (v2_lopban_3(B, A) <=> v1_series_1(C)) ) ) ) ) ) ) ) ).
fof(t34_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v1_xreal_0(C) =>  ( (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(1, D) => k8_nat_1(k1_numbers, k5_normsp_0(A, B), D)=k7_xcmplx_0(1, k2_power(D, C))) ) )  =>  (r1_xxreal_0(C, 1) | v2_lopban_3(B, A)) ) ) ) ) ) ) ) ).
fof(t35_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( (r1_xxreal_0(C, 1) &  ( (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(1, D) => k8_nat_1(k1_numbers, k5_normsp_0(A, B), D)=k7_xcmplx_0(1, k2_power(D, C))) ) )  & v2_lopban_3(B, A)) ) ) ) ) ) ) ) ) ).
fof(t36_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( ( (! [D] :  (v7_ordinal1(D) =>  ( ~ (k1_normsp_0(A, B, D)=k4_struct_0(A))  & k8_nat_1(k1_numbers, C, D)=k6_real_1(k8_nat_1(k1_numbers, k5_normsp_0(A, B), k1_nat_1(D, 1)), k8_nat_1(k1_numbers, k5_normsp_0(A, B), D))) ) )  & v2_comseq_2(C))  =>  (r1_xxreal_0(1, k1_seq_2(C)) | v2_lopban_3(B, A)) ) ) ) ) ) ) ) ).
fof(t37_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ~ ( ( (! [C] :  (v7_ordinal1(C) =>  ~ (k1_normsp_0(A, B, C)=k4_struct_0(A)) ) )  &  ( (? [C] :  (v7_ordinal1(C) &  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(C, D) => r1_xxreal_0(1, k6_real_1(k8_nat_1(k1_numbers, k5_normsp_0(A, B), k1_nat_1(D, 1)), k8_nat_1(k1_numbers, k5_normsp_0(A, B), D)))) ) ) ) )  & v2_lopban_3(B, A)) ) ) ) ) ) ) ).
fof(t38_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (k3_rlvect_1(A, B, C)=k3_rlvect_1(A, C, B) &  (k3_rlvect_1(A, k3_rlvect_1(A, B, C), D)=k3_rlvect_1(A, B, k3_rlvect_1(A, C, D)) &  (k3_rlvect_1(A, B, k4_struct_0(A))=B &  ( (? [G] :  (m1_subset_1(G, u1_struct_0(A)) & k3_rlvect_1(A, B, G)=k4_struct_0(A)) )  &  (k6_algstr_0(A, k6_algstr_0(A, B, C), D)=k6_algstr_0(A, B, k6_algstr_0(A, C, D)) &  (k1_rlvect_1(A, B, 1)=B &  (k1_rlvect_1(A, B, k5_numbers)=k4_struct_0(A) &  (k1_rlvect_1(A, k4_struct_0(A), E)=k4_struct_0(A) &  (k1_rlvect_1(A, B, k4_xcmplx_0(1))=k4_algstr_0(A, B) &  (k6_algstr_0(A, B, k5_struct_0(A))=B &  (k6_algstr_0(A, k5_struct_0(A), B)=B &  (k6_algstr_0(A, B, k3_rlvect_1(A, C, D))=k3_rlvect_1(A, k6_algstr_0(A, B, C), k6_algstr_0(A, B, D)) &  (k6_algstr_0(A, k3_rlvect_1(A, C, D), B)=k3_rlvect_1(A, k6_algstr_0(A, C, B), k6_algstr_0(A, D, B)) &  (k1_rlvect_1(A, k6_algstr_0(A, B, C), E)=k6_algstr_0(A, k1_rlvect_1(A, B, E), C) &  (k1_rlvect_1(A, k3_rlvect_1(A, B, C), E)=k3_rlvect_1(A, k1_rlvect_1(A, B, E), k1_rlvect_1(A, C, E)) &  (k1_rlvect_1(A, B, k2_xcmplx_0(E, F))=k3_rlvect_1(A, k1_rlvect_1(A, B, E), k1_rlvect_1(A, B, F)) &  (k1_rlvect_1(A, B, k3_xcmplx_0(E, F))=k1_rlvect_1(A, k1_rlvect_1(A, B, F), E) &  (k1_rlvect_1(A, k6_algstr_0(A, B, C), k3_xcmplx_0(E, F))=k6_algstr_0(A, k1_rlvect_1(A, B, E), k1_rlvect_1(A, C, F)) &  (k1_rlvect_1(A, k6_algstr_0(A, B, C), E)=k6_algstr_0(A, B, k1_rlvect_1(A, C, E)) &  (k6_algstr_0(A, k4_struct_0(A), B)=k4_struct_0(A) &  (k6_algstr_0(A, B, k4_struct_0(A))=k4_struct_0(A) &  (k6_algstr_0(A, B, k5_algstr_0(A, C, D))=k5_algstr_0(A, k6_algstr_0(A, B, C), k6_algstr_0(A, B, D)) &  (k6_algstr_0(A, k5_algstr_0(A, C, D), B)=k5_algstr_0(A, k6_algstr_0(A, C, B), k6_algstr_0(A, D, B)) &  (k5_algstr_0(A, k3_rlvect_1(A, B, C), D)=k3_rlvect_1(A, B, k5_algstr_0(A, C, D)) &  (k3_rlvect_1(A, k5_algstr_0(A, B, C), D)=k5_algstr_0(A, B, k5_algstr_0(A, C, D)) &  (k5_algstr_0(A, k5_algstr_0(A, B, C), D)=k5_algstr_0(A, B, k3_rlvect_1(A, C, D)) &  (k3_rlvect_1(A, B, C)=k3_rlvect_1(A, k5_algstr_0(A, B, D), k3_rlvect_1(A, D, C)) &  (k5_algstr_0(A, B, C)=k3_rlvect_1(A, k5_algstr_0(A, B, D), k5_algstr_0(A, D, C)) &  (B=k3_rlvect_1(A, k5_algstr_0(A, B, C), C) &  (B=k5_algstr_0(A, C, k5_algstr_0(A, C, B)) &  ( (k2_normsp_0(A, B)=k5_numbers => B=k4_struct_0(A))  &  ( (B=k4_struct_0(A) => k2_normsp_0(A, B)=k5_numbers)  &  (k2_normsp_0(A, k1_rlvect_1(A, B, E))=k3_xcmplx_0(k9_complex1(E), k2_normsp_0(A, B)) &  (r1_xxreal_0(k2_normsp_0(A, k3_rlvect_1(A, B, C)), k2_xcmplx_0(k2_normsp_0(A, B), k2_normsp_0(A, C))) &  (r1_xxreal_0(k2_normsp_0(A, k6_algstr_0(A, B, C)), k3_xcmplx_0(k2_normsp_0(A, B), k2_normsp_0(A, C))) &  (k2_normsp_0(A, k5_struct_0(A))=1 & v3_lopban_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) &  (v3_group_1(A) & l4_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v25_algstr_0(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (k6_algstr_0(A, B, C)=k5_struct_0(A) & k6_algstr_0(A, C, B)=k5_struct_0(A)) ) ) ) ) ) ) ) ).
fof(d5_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (D=k2_lopban_3(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) => k1_normsp_0(A, D, E)=k6_algstr_0(A, C, k1_normsp_0(A, B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (D=k3_lopban_3(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) => k1_normsp_0(A, D, E)=k6_algstr_0(A, k1_normsp_0(A, B, E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (D=k4_lopban_3(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) => k1_normsp_0(A, D, E)=k6_algstr_0(A, k1_normsp_0(A, B, E), k1_normsp_0(A, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) &  (v3_group_1(A) & l4_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v25_algstr_0(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (C=k9_algstr_0(A, B) <=>  (k6_algstr_0(A, B, C)=k5_struct_0(A) & k6_algstr_0(A, C, B)=k5_struct_0(A)) ) ) ) ) ) ) ) ) ).
fof(d9_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (C=k5_lopban_3(A, B) <=>  (k1_normsp_0(A, C, k5_numbers)=k5_struct_0(A) &  (! [D] :  (v7_ordinal1(D) => k1_normsp_0(A, C, k1_nat_1(D, 1))=k6_algstr_0(A, k1_normsp_0(A, C, D), B)) ) ) ) ) ) ) ) ) ) ).
fof(d10_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) => k6_lopban_3(A, B, C)=k1_normsp_0(A, k5_lopban_3(A, B), C)) ) ) ) ) ) ).
fof(t39_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_lopban_3(A, B, k5_numbers)=k5_struct_0(A)) ) ) ) ).
fof(t40_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (r1_xxreal_0(1, k2_normsp_0(A, B)))  =>  (v1_lopban_3(k5_lopban_3(A, B), A) & v2_lopban_3(k5_lopban_3(A, B), A)) ) ) ) ) ) ).
fof(t41_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (r1_xxreal_0(1, k2_normsp_0(A, k5_algstr_0(A, k5_struct_0(A), B))))  =>  (v1_lopban_3(k5_lopban_3(A, k5_algstr_0(A, k5_struct_0(A), B)), A) & v2_lopban_3(k5_lopban_3(A, k5_algstr_0(A, k5_struct_0(A), B)), A)) ) ) ) ) ) ).
fof(t42_lopban_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (r1_xxreal_0(1, k2_normsp_0(A, k5_algstr_0(A, k5_struct_0(A), B))))  =>  (v25_algstr_0(B, A) & k9_algstr_0(A, B)=k1_lopban_3(A, k5_lopban_3(A, k5_algstr_0(A, k5_struct_0(A), B)))) ) ) ) ) ) ).
fof(dt_k1_lopban_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => m1_subset_1(k1_lopban_3(A, B), u1_struct_0(A))) ) ).
fof(dt_k2_lopban_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  & m1_subset_1(C, u1_struct_0(A))) )  =>  (v1_funct_1(k2_lopban_3(A, B, C)) &  (v1_funct_2(k2_lopban_3(A, B, C), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k2_lopban_3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(dt_k3_lopban_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  & m1_subset_1(C, u1_struct_0(A))) )  =>  (v1_funct_1(k3_lopban_3(A, B, C)) &  (v1_funct_2(k3_lopban_3(A, B, C), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k3_lopban_3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(dt_k4_lopban_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (v1_funct_1(k4_lopban_3(A, B, C)) &  (v1_funct_2(k4_lopban_3(A, B, C), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k4_lopban_3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(dt_k5_lopban_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k5_lopban_3(A, B)) &  (v1_funct_2(k5_lopban_3(A, B), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k5_lopban_3(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(dt_k6_lopban_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & v7_ordinal1(C)) )  => m1_subset_1(k6_lopban_3(A, B, C), u1_struct_0(A))) ) ).
fof(fc1_lopban_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k1_lopban_4(A, B)) &  (v1_funct_2(k1_lopban_4(A, B), k4_ordinal1, u1_struct_0(A)) & v2_lopban_3(k1_lopban_4(A, B), A)) ) ) ) ).
fof(d1_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_lopban_4(A, B, C) <=> k6_algstr_0(A, B, C)=k6_algstr_0(A, C, B)) ) ) ) ) ) ) ).
fof(t1_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v3_normsp_1(B, A) &  (v3_normsp_1(C, A) & k5_normsp_1(A, k2_normsp_1(A, B, C))=k4_struct_0(A)) )  => k5_normsp_1(A, B)=k5_normsp_1(A, C)) ) ) ) ) ) ) ).
fof(t2_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (! [D] :  (v7_ordinal1(D) => k8_nat_1(u1_struct_0(A), B, D)=C) )  => k5_normsp_1(A, B)=C) ) ) ) ) ) ) ).
fof(t3_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v3_normsp_1(B, A) & v3_normsp_1(C, A))  => v3_normsp_1(k4_lopban_3(A, B, C), A)) ) ) ) ) ) ) ).
fof(t4_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v3_normsp_1(C, A) => v3_normsp_1(k2_lopban_3(A, C, B), A)) ) ) ) ) ) ) ).
fof(t5_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v3_normsp_1(C, A) => v3_normsp_1(k3_lopban_3(A, C, B), A)) ) ) ) ) ) ) ).
fof(t6_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v3_normsp_1(C, A) => k5_normsp_1(A, k2_lopban_3(A, C, B))=k6_algstr_0(A, B, k5_normsp_1(A, C))) ) ) ) ) ) ) ).
fof(t7_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v3_normsp_1(C, A) => k5_normsp_1(A, k3_lopban_3(A, C, B))=k6_algstr_0(A, k5_normsp_1(A, C), B)) ) ) ) ) ) ) ).
fof(t8_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v3_normsp_1(B, A) & v3_normsp_1(C, A))  => k5_normsp_1(A, k4_lopban_3(A, B, C))=k6_algstr_0(A, k5_normsp_1(A, B), k5_normsp_1(A, C))) ) ) ) ) ) ) ).
fof(t9_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (r2_funct_2(k4_ordinal1, u1_struct_0(A), k1_bhsp_4(A, k2_lopban_3(A, C, B)), k2_lopban_3(A, k1_bhsp_4(A, C), B)) & r2_funct_2(k4_ordinal1, u1_struct_0(A), k1_bhsp_4(A, k3_lopban_3(A, C, B)), k3_lopban_3(A, k1_bhsp_4(A, C), B))) ) ) ) ) ) ) ).
fof(t10_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r1_xxreal_0(k2_normsp_0(A, k8_nat_1(u1_struct_0(A), k1_bhsp_4(A, C), B)), k8_nat_1(k1_numbers, k3_series_1(k5_normsp_0(A, C)), B))) ) ) ) ) ) ).
fof(t11_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(E, B) => k8_nat_1(u1_struct_0(A), C, E)=k8_nat_1(u1_struct_0(A), D, E)) ) )  => k8_nat_1(u1_struct_0(A), k1_bhsp_4(A, C), B)=k8_nat_1(u1_struct_0(A), k1_bhsp_4(A, D), B)) ) ) ) ) ) ) ) ) ).
fof(t12_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( ( (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k2_normsp_0(A, k8_nat_1(u1_struct_0(A), B, D)), k8_nat_1(k1_numbers, C, D))) )  &  (v2_comseq_2(C) & k1_seq_2(C)=k5_numbers) )  =>  (v3_normsp_1(B, A) & k5_normsp_1(A, B)=k4_struct_0(A)) ) ) ) ) ) ) ) ).
fof(d2_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (C=k1_lopban_4(A, B) <=>  (! [D] :  (v7_ordinal1(D) => k8_nat_1(u1_struct_0(A), C, D)=k1_rlvect_1(A, k6_lopban_3(A, B, D), k7_xcmplx_0(1, k2_newton(D)))) ) ) ) ) ) ) ) ) ).
fof(t13_lopban_4, axiom,  ( (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k3_xcmplx_0(k2_newton(k7_nat_d(A, 1)), A)=k2_newton(A)) ) )  &  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(B, A) => k3_xcmplx_0(k2_newton(k7_nat_d(A, B)), k6_xcmplx_0(k1_nat_1(A, 1), B))=k2_newton(k7_nat_d(k1_nat_1(A, 1), B))) ) ) ) ) ) ).
fof(d3_lopban_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (B=k2_lopban_4(A) <=>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(C, A) => k8_nat_1(k1_numbers, B, C)=k7_xcmplx_0(k2_newton(A), k3_xcmplx_0(k2_newton(C), k2_newton(k7_nat_d(A, C)))))  &  ( ~ (r1_xxreal_0(C, A))  => k8_nat_1(k1_numbers, B, C)=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(d4_lopban_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (B=k3_lopban_4(A) <=>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(C, A) => k8_nat_1(k1_numbers, B, C)=k7_xcmplx_0(1, k3_xcmplx_0(k2_newton(C), k2_newton(k7_nat_d(A, C)))))  &  ( ~ (r1_xxreal_0(C, A))  => k8_nat_1(k1_numbers, B, C)=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(d5_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (C=k4_lopban_4(A, B) <=>  (k8_nat_1(u1_struct_0(A), C, k5_numbers)=k4_struct_0(A) &  (! [D] :  (v7_ordinal1(D) => k8_nat_1(u1_struct_0(A), C, k1_nat_1(D, 1))=k8_nat_1(u1_struct_0(A), B, D)) ) ) ) ) ) ) ) ) ) ).
fof(d6_lopban_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) &  (v2_funcsdom(B) &  (v1_vectsp_1(B) &  (v3_vectsp_1(B) &  (v3_group_1(B) &  (v5_lopban_2(B) & l1_lopban_2(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  (E=k5_lopban_4(A, B, C, D) <=>  (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(F, A) => k8_nat_1(u1_struct_0(B), E, F)=k6_algstr_0(B, k1_rlvect_1(B, k6_lopban_3(B, C, F), k8_nat_1(k1_numbers, k2_lopban_4(A), F)), k6_lopban_3(B, D, k7_nat_d(A, F))))  &  ( ~ (r1_xxreal_0(F, A))  => k8_nat_1(u1_struct_0(B), E, F)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_lopban_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) &  (v2_funcsdom(B) &  (v1_vectsp_1(B) &  (v3_vectsp_1(B) &  (v3_group_1(B) &  (v5_lopban_2(B) & l1_lopban_2(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  (E=k6_lopban_4(A, B, C, D) <=>  (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(F, A) => k8_nat_1(u1_struct_0(B), E, F)=k6_algstr_0(B, k1_rlvect_1(B, k6_lopban_3(B, C, F), k8_nat_1(k1_numbers, k3_lopban_4(A), F)), k6_lopban_3(B, D, k7_nat_d(A, F))))  &  ( ~ (r1_xxreal_0(F, A))  => k8_nat_1(u1_struct_0(B), E, F)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_lopban_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) &  (v2_funcsdom(B) &  (v1_vectsp_1(B) &  (v3_vectsp_1(B) &  (v3_group_1(B) &  (v5_lopban_2(B) & l1_lopban_2(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  (E=k7_lopban_4(A, B, C, D) <=>  (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(F, A) => k8_nat_1(u1_struct_0(B), E, F)=k6_algstr_0(B, k8_nat_1(u1_struct_0(B), k1_lopban_4(B, C), F), k8_nat_1(u1_struct_0(B), k1_bhsp_4(B, k1_lopban_4(B, D)), k7_nat_d(A, F))))  &  ( ~ (r1_xxreal_0(F, A))  => k8_nat_1(u1_struct_0(B), E, F)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (E=k8_lopban_4(A, B, C, D) <=>  (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(F, D) => k8_nat_1(u1_struct_0(A), E, F)=k6_algstr_0(A, k8_nat_1(u1_struct_0(A), k1_lopban_4(A, B), F), k5_algstr_0(A, k8_nat_1(u1_struct_0(A), k1_bhsp_4(A, k1_lopban_4(A, C)), D), k8_nat_1(u1_struct_0(A), k1_bhsp_4(A, k1_lopban_4(A, C)), k7_nat_d(D, F)))))  &  ( ~ (r1_xxreal_0(F, D))  => k8_nat_1(u1_struct_0(A), E, F)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (k8_nat_1(u1_struct_0(A), k1_lopban_4(A, B), k1_nat_1(C, 1))=k6_algstr_0(A, k1_rlvect_1(A, B, k7_xcmplx_0(1, k1_nat_1(C, 1))), k8_nat_1(u1_struct_0(A), k1_lopban_4(A, B), C)) &  (k8_nat_1(u1_struct_0(A), k1_lopban_4(A, B), k5_numbers)=k5_struct_0(A) & r1_xxreal_0(k2_normsp_0(A, k8_nat_1(u1_struct_0(A), k1_lopban_4(A, B), C)), k8_nat_1(k1_numbers, k4_sin_cos(k2_normsp_0(A, B)), C))) ) ) ) ) ) ) ) ).
fof(t15_lopban_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k8_nat_1(u1_struct_0(B), k4_lopban_4(B, C), A)=k8_nat_1(u1_struct_0(B), C, k7_nat_d(A, 1))) ) ) ) ) ) ) ).
fof(t16_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => k8_nat_1(u1_struct_0(A), k1_bhsp_4(A, C), B)=k3_rlvect_1(A, k8_nat_1(u1_struct_0(A), k1_bhsp_4(A, k4_lopban_4(A, C)), B), k8_nat_1(u1_struct_0(A), C, B))) ) ) ) ) ) ).
fof(t17_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_lopban_4(A, C, D) => k6_lopban_3(A, k3_rlvect_1(A, C, D), B)=k8_nat_1(u1_struct_0(A), k1_bhsp_4(A, k5_lopban_4(B, A, C, D)), B)) ) ) ) ) ) ) ) ) ).
fof(t18_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k6_lopban_4(D, A, C, B), k4_normsp_1(A, k5_lopban_4(D, A, C, B), k7_xcmplx_0(1, k2_newton(D))))) ) ) ) ) ) ) ) ).
fof(t19_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_lopban_4(A, C, D) => k1_rlvect_1(A, k6_lopban_3(A, k3_rlvect_1(A, C, D), B), k7_xcmplx_0(1, k2_newton(B)))=k8_nat_1(u1_struct_0(A), k1_bhsp_4(A, k6_lopban_4(B, A, C, D)), B)) ) ) ) ) ) ) ) ) ).
fof(t20_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (v2_lopban_3(k1_lopban_4(A, k4_struct_0(A)), A) & k1_lopban_3(A, k1_lopban_4(A, k4_struct_0(A)))=k5_struct_0(A)) ) ) ).
fof(t21_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k8_nat_1(u1_struct_0(A), k1_lopban_4(A, C), k5_numbers)=k5_struct_0(A) & k8_nat_1(u1_struct_0(A), k5_lopban_4(k5_numbers, A, C, B), k5_numbers)=k5_struct_0(A)) ) ) ) ) ) ) ).
fof(t22_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(E, D) => k8_nat_1(u1_struct_0(A), k7_lopban_4(k1_nat_1(D, 1), A, C, B), E)=k3_rlvect_1(A, k8_nat_1(u1_struct_0(A), k7_lopban_4(D, A, C, B), E), k8_nat_1(u1_struct_0(A), k6_lopban_4(k1_nat_1(D, 1), A, C, B), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) => k8_nat_1(u1_struct_0(A), k1_bhsp_4(A, k7_lopban_4(k1_nat_1(D, 1), A, C, B)), D)=k3_rlvect_1(A, k8_nat_1(u1_struct_0(A), k1_bhsp_4(A, k7_lopban_4(D, A, C, B)), D), k8_nat_1(u1_struct_0(A), k1_bhsp_4(A, k6_lopban_4(k1_nat_1(D, 1), A, C, B)), D))) ) ) ) ) ) ) ) ).
fof(t24_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) => k8_nat_1(u1_struct_0(A), k1_lopban_4(A, C), D)=k8_nat_1(u1_struct_0(A), k6_lopban_4(D, A, C, B), D)) ) ) ) ) ) ) ) ).
fof(t25_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_lopban_4(A, C, D) => k8_nat_1(u1_struct_0(A), k1_bhsp_4(A, k1_lopban_4(A, k3_rlvect_1(A, C, D))), B)=k8_nat_1(u1_struct_0(A), k1_bhsp_4(A, k7_lopban_4(B, A, C, D)), B)) ) ) ) ) ) ) ) ) ).
fof(t26_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_lopban_4(A, C, D) => k5_algstr_0(A, k6_algstr_0(A, k8_nat_1(u1_struct_0(A), k1_bhsp_4(A, k1_lopban_4(A, C)), B), k8_nat_1(u1_struct_0(A), k1_bhsp_4(A, k1_lopban_4(A, D)), B)), k8_nat_1(u1_struct_0(A), k1_bhsp_4(A, k1_lopban_4(A, k3_rlvect_1(A, C, D))), B))=k8_nat_1(u1_struct_0(A), k1_bhsp_4(A, k8_lopban_4(A, C, D, B)), B)) ) ) ) ) ) ) ) ) ).
fof(t27_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k5_numbers, k8_nat_1(k1_numbers, k4_sin_cos(k2_normsp_0(A, B)), C))) ) ) ) ) ) ).
fof(t28_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(k2_normsp_0(A, k8_nat_1(u1_struct_0(A), k1_bhsp_4(A, k1_lopban_4(A, B)), C)), k8_nat_1(k1_numbers, k3_series_1(k4_sin_cos(k2_normsp_0(A, B))), C)) &  (r1_xxreal_0(k8_nat_1(k1_numbers, k3_series_1(k4_sin_cos(k2_normsp_0(A, B))), C), k4_series_1(k4_sin_cos(k2_normsp_0(A, B)))) & r1_xxreal_0(k2_normsp_0(A, k8_nat_1(u1_struct_0(A), k1_bhsp_4(A, k1_lopban_4(A, B)), C)), k4_series_1(k4_sin_cos(k2_normsp_0(A, B))))) ) ) ) ) ) ) ) ).
fof(t29_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_xxreal_0(1, k4_series_1(k4_sin_cos(k2_normsp_0(A, B))))) ) ) ) ).
fof(t30_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (k9_complex1(k8_nat_1(k1_numbers, k3_series_1(k4_sin_cos(k2_normsp_0(A, B))), D))=k8_nat_1(k1_numbers, k3_series_1(k4_sin_cos(k2_normsp_0(A, B))), D) &  (r1_xxreal_0(D, C) => k9_complex1(k5_real_1(k8_nat_1(k1_numbers, k3_series_1(k4_sin_cos(k2_normsp_0(A, B))), C), k8_nat_1(k1_numbers, k3_series_1(k4_sin_cos(k2_normsp_0(A, B))), D)))=k5_real_1(k8_nat_1(k1_numbers, k3_series_1(k4_sin_cos(k2_normsp_0(A, B))), C), k8_nat_1(k1_numbers, k3_series_1(k4_sin_cos(k2_normsp_0(A, B))), D))) ) ) ) ) ) ) ) ) ) ).
fof(t31_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) => k9_complex1(k8_nat_1(k1_numbers, k3_series_1(k5_normsp_0(A, k8_lopban_4(A, C, B, D))), E))=k8_nat_1(k1_numbers, k3_series_1(k5_normsp_0(A, k8_lopban_4(A, C, B, D))), E)) ) ) ) ) ) ) ) ) ) ).
fof(t32_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v7_ordinal1(E) =>  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(E, F) & r1_xxreal_0(D, k9_complex1(k8_nat_1(k1_numbers, k3_series_1(k5_normsp_0(A, k8_lopban_4(A, C, B, F))), F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (! [E] :  (v7_ordinal1(E) => k8_nat_1(u1_struct_0(A), D, E)=k8_nat_1(u1_struct_0(A), k1_bhsp_4(A, k8_lopban_4(A, C, B, E)), E)) )  =>  (v3_normsp_1(D, A) & k5_normsp_1(A, D)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ).
fof(d10_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (B=k9_lopban_4(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, C)=k1_lopban_3(A, k1_lopban_4(A, C))) ) ) ) ) ) ) ).
fof(d11_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k10_lopban_4(A, B)=k3_funct_2(u1_struct_0(A), u1_struct_0(A), k9_lopban_4(A), B)) ) ) ) ).
fof(t34_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k10_lopban_4(A, B)=k1_lopban_3(A, k1_lopban_4(A, B))) ) ) ) ).
fof(t35_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_lopban_4(A, B, C) =>  (k10_lopban_4(A, k3_rlvect_1(A, B, C))=k6_algstr_0(A, k10_lopban_4(A, B), k10_lopban_4(A, C)) &  (k10_lopban_4(A, k3_rlvect_1(A, C, B))=k6_algstr_0(A, k10_lopban_4(A, C), k10_lopban_4(A, B)) &  (k10_lopban_4(A, k3_rlvect_1(A, B, C))=k10_lopban_4(A, k3_rlvect_1(A, C, B)) & r1_lopban_4(A, k10_lopban_4(A, B), k10_lopban_4(A, C))) ) ) ) ) ) ) ) ) ) ).
fof(t36_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_lopban_4(A, B, C) => k6_algstr_0(A, B, k10_lopban_4(A, C))=k6_algstr_0(A, k10_lopban_4(A, C), B)) ) ) ) ) ) ) ).
fof(t37_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  => k10_lopban_4(A, k4_struct_0(A))=k5_struct_0(A)) ) ).
fof(t38_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k6_algstr_0(A, k10_lopban_4(A, B), k10_lopban_4(A, k4_algstr_0(A, B)))=k5_struct_0(A) & k6_algstr_0(A, k10_lopban_4(A, k4_algstr_0(A, B)), k10_lopban_4(A, B))=k5_struct_0(A)) ) ) ) ) ).
fof(t39_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v25_algstr_0(k10_lopban_4(A, B), A) &  (k9_algstr_0(A, k10_lopban_4(A, B))=k10_lopban_4(A, k4_algstr_0(A, B)) &  (v25_algstr_0(k10_lopban_4(A, k4_algstr_0(A, B)), A) & k9_algstr_0(A, k10_lopban_4(A, k4_algstr_0(A, B)))=k10_lopban_4(A, B)) ) ) ) ) ) ) ).
fof(t40_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => r1_lopban_4(A, k1_rlvect_1(A, B, C), k1_rlvect_1(A, B, D))) ) ) ) ) ) ) ) ).
fof(t41_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (k6_algstr_0(A, k10_lopban_4(A, k1_rlvect_1(A, B, C)), k10_lopban_4(A, k1_rlvect_1(A, B, D)))=k10_lopban_4(A, k1_rlvect_1(A, B, k2_xcmplx_0(C, D))) &  (k6_algstr_0(A, k10_lopban_4(A, k1_rlvect_1(A, B, D)), k10_lopban_4(A, k1_rlvect_1(A, B, C)))=k10_lopban_4(A, k1_rlvect_1(A, B, k2_xcmplx_0(D, C))) &  (k10_lopban_4(A, k1_rlvect_1(A, B, k2_xcmplx_0(C, D)))=k10_lopban_4(A, k1_rlvect_1(A, B, k2_xcmplx_0(D, C))) & r1_lopban_4(A, k10_lopban_4(A, k1_rlvect_1(A, B, C)), k10_lopban_4(A, k1_rlvect_1(A, B, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_lopban_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(f1_s1_lopban_4)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(f1_s1_lopban_4))))) )  &  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(C, A) => k8_nat_1(u1_struct_0(f1_s1_lopban_4), B, C)=f2_s1_lopban_4(A, C))  &  ( ~ (r1_xxreal_0(C, A))  => k8_nat_1(u1_struct_0(f1_s1_lopban_4), B, C)=k4_struct_0(f1_s1_lopban_4)) ) ) ) ) ) ) ) ).
fof(symmetry_r1_lopban_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r1_lopban_4(A, B, C) => r1_lopban_4(A, C, B)) ) ) ).
fof(reflexivity_r1_lopban_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => r1_lopban_4(A, B, B)) ) ).
fof(dt_k1_lopban_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k1_lopban_4(A, B)) &  (v1_funct_2(k1_lopban_4(A, B), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k1_lopban_4(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(dt_f1_s1_lopban_4, axiom,  ( ~ (v2_struct_0(f1_s1_lopban_4))  &  (v13_algstr_0(f1_s1_lopban_4) &  (v2_rlvect_1(f1_s1_lopban_4) &  (v3_rlvect_1(f1_s1_lopban_4) &  (v4_rlvect_1(f1_s1_lopban_4) &  (v5_rlvect_1(f1_s1_lopban_4) &  (v6_rlvect_1(f1_s1_lopban_4) &  (v7_rlvect_1(f1_s1_lopban_4) &  (v8_rlvect_1(f1_s1_lopban_4) &  (v3_normsp_0(f1_s1_lopban_4) &  (v4_normsp_0(f1_s1_lopban_4) &  (v2_normsp_1(f1_s1_lopban_4) &  (v2_funcsdom(f1_s1_lopban_4) &  (v1_vectsp_1(f1_s1_lopban_4) &  (v3_vectsp_1(f1_s1_lopban_4) &  (v3_group_1(f1_s1_lopban_4) &  (v5_lopban_2(f1_s1_lopban_4) & l1_lopban_2(f1_s1_lopban_4)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_f2_s1_lopban_4, axiom,  (! [A, B] : m1_subset_1(f2_s1_lopban_4(A, B), u1_struct_0(f1_s1_lopban_4))) ).
fof(dt_k2_lopban_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_funct_1(k2_lopban_4(A)) &  (v1_funct_2(k2_lopban_4(A), k4_ordinal1, k1_numbers) & m1_subset_1(k2_lopban_4(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k3_lopban_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_funct_1(k3_lopban_4(A)) &  (v1_funct_2(k3_lopban_4(A), k4_ordinal1, k1_numbers) & m1_subset_1(k3_lopban_4(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k4_lopban_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (v1_funct_1(k4_lopban_4(A, B)) &  (v1_funct_2(k4_lopban_4(A, B), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k4_lopban_4(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(dt_k5_lopban_4, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) &  (v2_funcsdom(B) &  (v1_vectsp_1(B) &  (v3_vectsp_1(B) &  (v3_group_1(B) &  (v5_lopban_2(B) & l1_lopban_2(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) & m1_subset_1(D, u1_struct_0(B))) ) )  =>  (v1_funct_1(k5_lopban_4(A, B, C, D)) &  (v1_funct_2(k5_lopban_4(A, B, C, D), k4_ordinal1, u1_struct_0(B)) & m1_subset_1(k5_lopban_4(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) ) ) ).
fof(dt_k6_lopban_4, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) &  (v2_funcsdom(B) &  (v1_vectsp_1(B) &  (v3_vectsp_1(B) &  (v3_group_1(B) &  (v5_lopban_2(B) & l1_lopban_2(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) & m1_subset_1(D, u1_struct_0(B))) ) )  =>  (v1_funct_1(k6_lopban_4(A, B, C, D)) &  (v1_funct_2(k6_lopban_4(A, B, C, D), k4_ordinal1, u1_struct_0(B)) & m1_subset_1(k6_lopban_4(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) ) ) ).
fof(dt_k7_lopban_4, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) &  (v2_funcsdom(B) &  (v1_vectsp_1(B) &  (v3_vectsp_1(B) &  (v3_group_1(B) &  (v5_lopban_2(B) & l1_lopban_2(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) & m1_subset_1(D, u1_struct_0(B))) ) )  =>  (v1_funct_1(k7_lopban_4(A, B, C, D)) &  (v1_funct_2(k7_lopban_4(A, B, C, D), k4_ordinal1, u1_struct_0(B)) & m1_subset_1(k7_lopban_4(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) ) ) ).
fof(dt_k8_lopban_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) & v7_ordinal1(D)) ) )  =>  (v1_funct_1(k8_lopban_4(A, B, C, D)) &  (v1_funct_2(k8_lopban_4(A, B, C, D), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k8_lopban_4(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(dt_k9_lopban_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k9_lopban_4(A)) &  (v1_funct_2(k9_lopban_4(A), u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(k9_lopban_4(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ).
fof(dt_k10_lopban_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_lopban_2(A) & l1_lopban_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k10_lopban_4(A, B), u1_struct_0(A))) ) ).
fof(fc1_lopban_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k2_normsp_2(A)))  &  (v6_metric_1(k2_normsp_2(A)) &  (v7_metric_1(k2_normsp_2(A)) &  (v8_metric_1(k2_normsp_2(A)) &  (v9_metric_1(k2_normsp_2(A)) & v4_tbsp_1(k2_normsp_2(A))) ) ) ) ) ) ) ).
fof(t1_lopban_5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  (v1_xreal_0(B) =>  ( (v1_comseq_2(A) & r1_xxreal_0(k5_numbers, B))  => k6_rinfsup1(k26_valued_1(k4_ordinal1, k1_numbers, A, B))=k3_xcmplx_0(B, k6_rinfsup1(A))) ) ) ) ) ).
fof(t2_lopban_5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  (v1_xreal_0(B) =>  ( (v1_comseq_2(A) & r1_xxreal_0(k5_numbers, B))  => k5_rinfsup1(k26_valued_1(k4_ordinal1, k1_numbers, A, B))=k3_xcmplx_0(B, k5_rinfsup1(A))) ) ) ) ) ).
fof(t3_lopban_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) )  =>  ~ ( (k3_tarski(k10_xtuple_0(B))=u1_struct_0(A) &  ( (! [C] :  (v7_ordinal1(C) => v2_nfcont_1(k8_nat_1(k9_setfam_1(u1_struct_0(A)), B, C), A)) )  &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  & r1_tarski(k1_lopban_5(A, E, D), k8_nat_1(k9_setfam_1(u1_struct_0(A)), B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_lopban_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) &  (v2_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (r5_nfcont_1(A, B, u1_struct_0(A), C) &  (r3_nfcont_1(A, B, C, u1_struct_0(A)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_nfcont_1(A, B, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t5_lopban_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k16_lopban_1(A, B)))) =>  ~ ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (v1_xreal_0(E) &  (r1_xxreal_0(k5_numbers, E) &  (! [F] :  (m1_subset_1(F, u1_struct_0(k16_lopban_1(A, B))) =>  (r2_tarski(F, C) => r1_xxreal_0(k2_normsp_0(B, k17_lopban_1(A, B, F, D)), E)) ) ) ) ) ) ) )  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( (r1_xxreal_0(k5_numbers, D) &  (! [E] :  (m1_subset_1(E, u1_struct_0(k16_lopban_1(A, B))) =>  (r2_tarski(E, C) => r1_xxreal_0(k2_normsp_0(k16_lopban_1(A, B), E), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_lopban_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(k16_lopban_1(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k16_lopban_1(A, B)))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  (E=k2_lopban_5(A, B, C, D) <=>  (! [F] :  (v7_ordinal1(F) => k1_normsp_0(B, E, F)=k17_lopban_1(A, B, k1_normsp_0(k16_lopban_1(A, B), C, F), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_lopban_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(k16_lopban_1(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k16_lopban_1(A, B)))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (v3_normsp_1(k2_lopban_5(A, B, C, E), B) & k3_funct_2(u1_struct_0(A), u1_struct_0(B), D, E)=k5_normsp_1(B, k2_lopban_5(A, B, C, E))) ) )  =>  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(D, A, B) &  (v1_lopban_1(D, A, B) &  (v2_lopban_1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  &  ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => r1_xxreal_0(k2_normsp_0(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), D, E)), k3_xcmplx_0(k6_rinfsup1(k5_normsp_0(k16_lopban_1(A, B), C)), k2_normsp_0(A, E)))) )  &  (! [E] :  (m1_subset_1(E, u1_struct_0(k16_lopban_1(A, B))) =>  (E=D => r1_xxreal_0(k2_normsp_0(k16_lopban_1(A, B), E), k6_rinfsup1(k5_normsp_0(k16_lopban_1(A, B), C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_lopban_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k4_normsp_2(A)))) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) &  (v3_lopban_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(k16_lopban_1(A, C))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k16_lopban_1(A, C)))))) )  =>  ( (v1_tops_1(B, k4_normsp_2(A)) &  ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(E, B) => v3_normsp_1(k2_lopban_5(A, C, D, E), C)) ) )  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (? [F] :  (v1_xreal_0(F) &  (r1_xxreal_0(k5_numbers, F) &  (! [G] :  (v7_ordinal1(G) => r1_xxreal_0(k2_normsp_0(C, k1_normsp_0(C, k2_lopban_5(A, C, D, E), G)), F)) ) ) ) ) ) ) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => v3_normsp_1(k2_lopban_5(A, C, D, E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_lopban_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) &  (v3_lopban_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k4_normsp_2(A)))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(k16_lopban_1(A, B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k16_lopban_1(A, B)))))) )  =>  ~ ( (v1_tops_1(C, k4_normsp_2(A)) &  ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(E, C) => v3_normsp_1(k2_lopban_5(A, B, D, E), B)) ) )  &  ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (? [F] :  (v1_xreal_0(F) &  (r1_xxreal_0(k5_numbers, F) &  (! [G] :  (v7_ordinal1(G) => r1_xxreal_0(k2_normsp_0(B, k1_normsp_0(B, k2_lopban_5(A, B, D, E), G)), F)) ) ) ) ) ) )  &  (! [E] :  (m1_subset_1(E, u1_struct_0(k16_lopban_1(A, B))) =>  ~ ( ( (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (v3_normsp_1(k2_lopban_5(A, B, D, F), B) &  (k17_lopban_1(A, B, E, F)=k5_normsp_1(B, k2_lopban_5(A, B, D, F)) & r1_xxreal_0(k2_normsp_0(B, k17_lopban_1(A, B, E, F)), k3_xcmplx_0(k6_rinfsup1(k5_normsp_0(k16_lopban_1(A, B), D)), k2_normsp_0(A, F)))) ) ) )  & r1_xxreal_0(k2_normsp_0(k16_lopban_1(A, B), E), k6_rinfsup1(k5_normsp_0(k16_lopban_1(A, B), D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_lopban_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & v1_xreal_0(C)) )  => m1_subset_1(k1_lopban_5(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k2_lopban_5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(k16_lopban_1(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k16_lopban_1(A, B)))))) )  & m1_subset_1(D, u1_struct_0(A))) ) )  =>  (v1_funct_1(k2_lopban_5(A, B, C, D)) &  (v1_funct_2(k2_lopban_5(A, B, C, D), k4_ordinal1, u1_struct_0(B)) & m1_subset_1(k2_lopban_5(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) ) ) ).
fof(d1_lopban_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) => k1_lopban_5(A, B, C)=a_3_0_lopban_5(A, B, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_lopban_5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_0_lopban_5(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E &  ~ (r1_xxreal_0(D, k2_normsp_0(B, k5_algstr_0(B, C, E)))) ) ) ) ) ) ) ).
fof(t1_lopban_6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(k5_numbers, A) &  ( ~ (r1_xxreal_0(B, A))  &  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  ( ~ (r1_xxreal_0(k7_xcmplx_0(B, k2_xcmplx_0(1, C)), A))  &  ~ (r1_xxreal_0(B, k7_xcmplx_0(B, k2_xcmplx_0(1, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_lopban_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) => k1_lopban_5(A, B, C)=k5_rusub_4(A, k1_lopban_5(A, k4_struct_0(A), C), B)) ) ) ) ) ) ).
fof(t3_lopban_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  => k1_lopban_5(A, k4_struct_0(A), k3_xcmplx_0(C, B))=k1_convex1(A, k1_lopban_5(A, k4_struct_0(A), B), C)) ) ) ) ) ) ) ).
fof(t4_lopban_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) => k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, k7_rusub_4(A, D, E))=k7_rusub_4(B, k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t5_lopban_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (v1_xreal_0(E) => k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, k1_convex1(A, D, E))=k1_convex1(B, k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), E)) ) ) ) ) ) ) ) ) ) ).
fof(t6_lopban_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, k5_rusub_4(A, D, E))=k5_rusub_4(B, k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t7_lopban_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k4_normsp_2(A)))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k4_normsp_2(A)))) =>  ( (B=D & C=E)  => k7_rusub_4(A, B, C)=k7_rusub_4(k4_normsp_2(A), D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_lopban_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k4_normsp_2(A)))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k4_normsp_2(A))) =>  ( (B=D & C=E)  => k5_rusub_4(A, B, C)=k5_rusub_4(k4_normsp_2(A), D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_lopban_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k4_normsp_2(A)))) =>  (B=D => k1_convex1(A, B, C)=k1_convex1(k4_normsp_2(A), D, C)) ) ) ) ) ) ) ) ) ).
fof(t10_lopban_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_normsp_2(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k4_normsp_2(A)))) =>  (B=C => k2_pre_topc(k3_normsp_2(A), B)=k2_pre_topc(k4_normsp_2(A), C)) ) ) ) ) ) ) ).
fof(t11_lopban_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) => k1_lopban_5(A, k4_struct_0(A), C)=k1_convex1(A, k1_lopban_5(A, k4_struct_0(A), C), k4_xcmplx_0(1))) ) ) ) ) ) ).
fof(t12_lopban_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k4_normsp_2(A)))) =>  (D=k1_lopban_5(A, B, C) => v1_convex1(D, k4_normsp_2(A))) ) ) ) ) ) ) ) ) ).
fof(t13_lopban_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(E, A, B) &  (v1_lopban_1(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k4_normsp_2(B)))) =>  (F=k7_relset_1(u1_struct_0(A), u1_struct_0(B), E, k1_lopban_5(A, C, D)) => v1_convex1(F, k4_normsp_2(B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_lopban_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (r1_xxreal_0(C, D) => r1_tarski(k1_lopban_5(A, B, C), k1_lopban_5(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t15_lopban_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) &  (v2_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k4_normsp_2(A)))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k4_normsp_2(B)))) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(k4_normsp_2(B)))) =>  ( (G=k1_lopban_5(B, k4_struct_0(B), D) &  (F=k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, k1_lopban_5(A, k4_struct_0(A), 1)) & r1_tarski(G, k2_pre_topc(k4_normsp_2(B), F))) )  =>  (r1_xxreal_0(D, k5_numbers) | r1_tarski(G, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_lopban_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) &  (v3_lopban_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) &  (v2_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k4_normsp_2(A)), u1_struct_0(k4_normsp_2(B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_normsp_2(A)), u1_struct_0(k4_normsp_2(B)))))) )  =>  ( (r1_funct_2(u1_struct_0(k4_normsp_2(A)), u1_struct_0(k4_normsp_2(B)), u1_struct_0(A), u1_struct_0(B), D, C) & v2_funct_2(D, u1_struct_0(k4_normsp_2(B))))  => v1_t_0topsp(D, k4_normsp_2(A), k4_normsp_2(B))) ) ) ) ) ) ) ) ) ).
fof(s1_lopban_6, axiom,  ( (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, f1_s1_lopban_6) =>  (! [C] :  (m1_subset_1(C, f1_s1_lopban_6) =>  (? [D] :  (m1_subset_1(D, f1_s1_lopban_6) & p1_s1_lopban_6(A, B, C, D)) ) ) ) ) ) ) )  =>  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, f1_s1_lopban_6) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f1_s1_lopban_6)))) )  &  (k8_nat_1(f1_s1_lopban_6, A, k5_numbers)=f2_s1_lopban_6 &  (k8_nat_1(f1_s1_lopban_6, A, 1)=f3_s1_lopban_6 &  (! [B] :  (v7_ordinal1(B) => p1_s1_lopban_6(B, k8_nat_1(f1_s1_lopban_6, A, B), k8_nat_1(f1_s1_lopban_6, A, k1_nat_1(B, 1)), k8_nat_1(f1_s1_lopban_6, A, k1_nat_1(B, 2)))) ) ) ) ) ) ) ).
fof(dt_f1_s1_lopban_6, axiom,  ~ (v1_xboole_0(f1_s1_lopban_6)) ).
fof(dt_f2_s1_lopban_6, axiom, m1_subset_1(f2_s1_lopban_6, f1_s1_lopban_6)).
fof(dt_f3_s1_lopban_6, axiom, m1_subset_1(f3_s1_lopban_6, f1_s1_lopban_6)).
fof(fc1_lopban_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  ~ (v1_xboole_0(k3_lopban_7(A, B, C))) ) ) ).
fof(fc2_lopban_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) )  => v1_rlsub_1(k3_lopban_7(A, B, C), k7_prvect_3(A, B))) ) ).
fof(fc3_lopban_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) )  =>  ( ~ (v2_struct_0(k5_lopban_7(A, B, C)))  &  (v13_algstr_0(k5_lopban_7(A, B, C)) &  (v2_rlvect_1(k5_lopban_7(A, B, C)) &  (v3_rlvect_1(k5_lopban_7(A, B, C)) &  (v4_rlvect_1(k5_lopban_7(A, B, C)) &  (v5_rlvect_1(k5_lopban_7(A, B, C)) &  (v6_rlvect_1(k5_lopban_7(A, B, C)) &  (v7_rlvect_1(k5_lopban_7(A, B, C)) & v8_rlvect_1(k5_lopban_7(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(fc4_lopban_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) )  =>  ( ~ (v2_struct_0(k5_lopban_7(A, B, C)))  &  (v3_normsp_0(k5_lopban_7(A, B, C)) &  (v4_normsp_0(k5_lopban_7(A, B, C)) & v2_normsp_1(k5_lopban_7(A, B, C))) ) ) ) ) ).
fof(cc1_lopban_7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) &  (v3_lopban_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) =>  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & v1_lopban_7(C, A, B)) ) ) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & v2_lopban_1(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(t1_lopban_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (v3_funct_2(C, u1_struct_0(A), u1_struct_0(B)) =>  ( (v1_funct_1(k2_funct_1(C)) &  (v1_funct_2(k2_funct_1(C), u1_struct_0(B), u1_struct_0(A)) &  (v13_vectsp_1(k2_funct_1(C), B, A) &  (v1_lopban_1(k2_funct_1(C), B, A) & m1_subset_1(k2_funct_1(C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) ) )  & k10_xtuple_0(k2_funct_1(C))=u1_struct_0(A)) ) ) ) ) ) ) ) ).
fof(t2_lopban_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v6_rltopsp1(B) &  (v7_rltopsp1(B) & l1_rltopsp1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  ( (v3_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_t_0topsp(C, A, B) & D=k2_funct_1(C)) )  =>  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) &  (v13_vectsp_1(D, B, A) &  (v1_lopban_1(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) ) )  &  (v2_funct_2(D, u1_struct_0(A)) & v5_pre_topc(D, B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_lopban_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  => k4_struct_0(B)=k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k4_struct_0(A))) ) ) ) ) ) ).
fof(t4_lopban_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_nfcont_1(A, B, C, D) <=> r1_nfcont_1(A, B, C, k4_struct_0(A))) ) ) ) ) ) ) ) ) ).
fof(t5_lopban_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (r3_nfcont_1(A, B, C, u1_struct_0(A)) <=> r1_nfcont_1(A, B, C, k4_struct_0(A))) ) ) ) ) ) ) ).
fof(t6_lopban_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (v2_lopban_1(C, A, B) <=> r3_nfcont_1(A, B, C, u1_struct_0(A))) ) ) ) ) ) ) ).
fof(t7_lopban_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) &  (v3_lopban_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) &  (v2_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (v3_funct_2(C, u1_struct_0(A), u1_struct_0(B)) =>  (v1_funct_1(k2_funct_1(C)) &  (v1_funct_2(k2_funct_1(C), u1_struct_0(B), u1_struct_0(A)) &  (v13_vectsp_1(k2_funct_1(C), B, A) &  (v1_lopban_1(k2_funct_1(C), B, A) &  (v2_lopban_1(k2_funct_1(C), B, A) & m1_subset_1(k2_funct_1(C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_lopban_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( ( (v3_normsp_1(C, A) &  (k5_normsp_1(A, C)=E &  (v3_normsp_1(D, B) & k5_normsp_1(B, D)=F) ) )  =>  (v3_normsp_1(k2_lopban_7(A, B, C, D), k7_prvect_3(A, B)) & k5_normsp_1(k7_prvect_3(A, B), k2_lopban_7(A, B, C, D))=k1_lopban_7(A, B, E, F)) )  &  ( (v3_normsp_1(k2_lopban_7(A, B, C, D), k7_prvect_3(A, B)) & k5_normsp_1(k7_prvect_3(A, B), k2_lopban_7(A, B, C, D))=k1_lopban_7(A, B, E, F))  =>  (v3_normsp_1(C, A) &  (k5_normsp_1(A, C)=E &  (v3_normsp_1(D, B) & k5_normsp_1(B, D)=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_lopban_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  => k3_lopban_7(A, B, C)=C) ) ) ) ) ) ).
fof(d2_lopban_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  => k4_lopban_7(A, B, C)=k17_funct_3(u1_struct_0(k7_prvect_3(A, B)), k1_numbers, u1_normsp_0(k7_prvect_3(A, B)), k3_lopban_7(A, B, C))) ) ) ) ) ) ).
fof(d3_lopban_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (v1_lopban_7(C, A, B) <=> v2_nfcont_1(k3_lopban_7(A, B, C), k7_prvect_3(A, B))) ) ) ) ) ) ) ).
fof(d4_lopban_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  => k5_lopban_7(A, B, C)=g1_normsp_1(k3_lopban_7(A, B, C), k7_rsspace(k7_prvect_3(A, B), k3_lopban_7(A, B, C)), k5_rsspace(k7_prvect_3(A, B), k3_lopban_7(A, B, C)), k6_rsspace(k7_prvect_3(A, B), k3_lopban_7(A, B, C)), k4_lopban_7(A, B, C))) ) ) ) ) ) ).
fof(t9_lopban_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  => m1_rlsub_1(k5_lopban_7(A, B, C), k7_prvect_3(A, B))) ) ) ) ) ) ).
fof(t10_lopban_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) &  (v3_lopban_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  ( (m1_rlsub_1(A, B) &  (u1_struct_0(A)=C &  (u1_normsp_0(A)=k2_partfun1(u1_struct_0(B), k1_numbers, u1_normsp_0(B), u1_struct_0(A)) & v2_nfcont_1(C, B)) ) )  => v3_lopban_1(A)) ) ) ) ) ) ) ).
fof(t11_lopban_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) &  (v3_lopban_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (v1_lopban_7(C, A, B) => v3_lopban_1(k5_lopban_7(A, B, C))) ) ) ) ) ) ) ).
fof(t12_lopban_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v1_lopban_7(C, A, B) <=>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (r1_tarski(k2_relset_1(u1_struct_0(A), D), k1_relset_1(u1_struct_0(A), C)) &  (v3_normsp_1(D, A) & v3_normsp_1(k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), D, C), B)) )  =>  (r2_tarski(k5_normsp_1(A, D), k1_relset_1(u1_struct_0(A), C)) & k5_normsp_1(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), D, C))=k1_funct_1(C, k5_normsp_1(A, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_lopban_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(D, A, B) &  (v1_lopban_1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  ( (v2_lopban_1(D, A, B) &  (v2_nfcont_1(k1_relset_1(u1_struct_0(A), C), A) & r2_relset_1(u1_struct_0(A), u1_struct_0(B), C, D)) )  => v1_lopban_7(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(t14_lopban_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  ( (v1_lopban_7(C, A, B) &  (v2_funct_1(C) & D=k2_funct_1(C)) )  => v1_lopban_7(D, B, A)) ) ) ) ) ) ) ) ) ).
fof(t15_lopban_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r1_xxreal_0(k2_normsp_0(A, C), k2_normsp_0(k7_prvect_3(A, B), k1_lopban_7(A, B, C, D))) & r1_xxreal_0(k2_normsp_0(B, D), k2_normsp_0(k7_prvect_3(A, B), k1_lopban_7(A, B, C, D)))) ) ) ) ) ) ) ) ) ).
fof(dt_k1_lopban_7, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l1_normsp_1(A))  &  ( ( ~ (v2_struct_0(B))  & l1_normsp_1(B))  &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, u1_struct_0(B))) ) )  => m1_subset_1(k1_lopban_7(A, B, C, D), u1_struct_0(k7_prvect_3(A, B)))) ) ).
fof(redefinition_k1_lopban_7, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l1_normsp_1(A))  &  ( ( ~ (v2_struct_0(B))  & l1_normsp_1(B))  &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, u1_struct_0(B))) ) )  => k1_lopban_7(A, B, C, D)=k4_tarski(C, D)) ) ).
fof(dt_k2_lopban_7, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l1_normsp_1(A))  &  ( ( ~ (v2_struct_0(B))  & l1_normsp_1(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) ) ) )  =>  (v1_funct_1(k2_lopban_7(A, B, C, D)) &  (v1_funct_2(k2_lopban_7(A, B, C, D), k4_ordinal1, u1_struct_0(k7_prvect_3(A, B))) & m1_subset_1(k2_lopban_7(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k7_prvect_3(A, B)))))) ) ) ) ).
fof(redefinition_k2_lopban_7, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l1_normsp_1(A))  &  ( ( ~ (v2_struct_0(B))  & l1_normsp_1(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) ) ) )  => k2_lopban_7(A, B, C, D)=k13_funct_3(C, D)) ) ).
fof(dt_k3_lopban_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  => m1_subset_1(k3_lopban_7(A, B, C), k1_zfmisc_1(u1_struct_0(k7_prvect_3(A, B))))) ) ).
fof(dt_k4_lopban_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) )  =>  (v1_funct_1(k4_lopban_7(A, B, C)) &  (v1_funct_2(k4_lopban_7(A, B, C), k3_lopban_7(A, B, C), k1_numbers) & m1_subset_1(k4_lopban_7(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k3_lopban_7(A, B, C), k1_numbers)))) ) ) ) ).
fof(dt_k5_lopban_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) )  =>  ( ~ (v2_struct_0(k5_lopban_7(A, B, C)))  & l1_normsp_1(k5_lopban_7(A, B, C))) ) ) ).
fof(fc1_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ~ (v1_xboole_0(k1_lopclset(A))) ) ) ).
fof(fc2_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( ~ (v2_struct_0(k6_lopclset(A)))  &  (v10_lattices(k6_lopclset(A)) & v17_lattices(k6_lopclset(A))) ) ) ) ).
fof(rc1_lopclset, axiom,  (? [A] :  (l3_lattices(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v10_lattices(A) &  (v11_lattices(A) &  (v12_lattices(A) &  (v13_lattices(A) &  (v14_lattices(A) &  (v15_lattices(A) &  (v16_lattices(A) & v17_lattices(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc3_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) ) )  =>  ~ (v1_xboole_0(k7_lopclset(A))) ) ) ).
fof(fc4_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) ) )  =>  ~ (v1_xboole_0(k10_lopclset(A))) ) ) ).
fof(fc5_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) ) )  =>  ( ~ (v2_struct_0(k11_lopclset(A)))  &  (v1_pre_topc(k11_lopclset(A)) & v2_pre_topc(k11_lopclset(A))) ) ) ) ).
fof(fc6_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) ) )  =>  (v1_relat_1(k8_lopclset(A)) &  (v1_funct_1(k8_lopclset(A)) & v2_funct_1(k8_lopclset(A))) ) ) ) ).
fof(rc2_lopclset, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k5_finsub_1(A)) &  ( ~ (v1_xboole_0(B))  & v1_finset_1(B)) ) ) ) ) ).
fof(fc7_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) ) )  =>  (v1_funct_1(k8_lopclset(A)) &  (v1_funct_2(k8_lopclset(A), u1_struct_0(A), u1_struct_0(k12_lopclset(A))) & v3_funct_2(k8_lopclset(A), u1_struct_0(A), u1_struct_0(k12_lopclset(A)))) ) ) ) ).
fof(t1_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(B, k1_lopclset(A)) => v3_pre_topc(B, A)) ) ) ) ) ).
fof(t2_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(B, k1_lopclset(A)) => v4_pre_topc(B, A)) ) ) ) ) ).
fof(t3_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v3_pre_topc(B, A) & v4_pre_topc(B, A))  => r2_tarski(B, k1_lopclset(A))) ) ) ) ) ).
fof(d2_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k1_lopclset(A), k1_lopclset(A)), k1_lopclset(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_lopclset(A), k1_lopclset(A)), k1_lopclset(A))))) )  =>  (B=k4_lopclset(A) <=>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(u1_struct_0(A)), k1_lopclset(A)) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(u1_struct_0(A)), k1_lopclset(A)) => k4_binop_1(k1_lopclset(A), B, C, D)=k2_lopclset(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(d3_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k1_lopclset(A), k1_lopclset(A)), k1_lopclset(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_lopclset(A), k1_lopclset(A)), k1_lopclset(A))))) )  =>  (B=k5_lopclset(A) <=>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(u1_struct_0(A)), k1_lopclset(A)) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(u1_struct_0(A)), k1_lopclset(A)) => k4_binop_1(k1_lopclset(A), B, C, D)=k3_lopclset(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t4_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(g3_lattices(k1_lopclset(A), k4_lopclset(A), k5_lopclset(A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(g3_lattices(k1_lopclset(A), k4_lopclset(A), k5_lopclset(A)))) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(u1_struct_0(A)), k1_lopclset(A)) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(u1_struct_0(A)), k1_lopclset(A)) =>  ( (B=D & C=E)  => k1_lattices(g3_lattices(k1_lopclset(A), k4_lopclset(A), k5_lopclset(A)), B, C)=k2_lopclset(A, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(g3_lattices(k1_lopclset(A), k4_lopclset(A), k5_lopclset(A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(g3_lattices(k1_lopclset(A), k4_lopclset(A), k5_lopclset(A)))) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(u1_struct_0(A)), k1_lopclset(A)) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(u1_struct_0(A)), k1_lopclset(A)) =>  ( (B=D & C=E)  => k2_lattices(g3_lattices(k1_lopclset(A), k4_lopclset(A), k5_lopclset(A)), B, C)=k3_lopclset(A, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => m2_subset_1(k1_struct_0(A), k1_zfmisc_1(u1_struct_0(A)), k1_lopclset(A))) ) ).
fof(t7_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => m2_subset_1(k2_struct_0(A), k1_zfmisc_1(u1_struct_0(A)), k1_lopclset(A))) ) ).
fof(t8_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(u1_struct_0(A)), k1_lopclset(A)) => m2_subset_1(k3_subset_1(u1_struct_0(A), B), k1_zfmisc_1(u1_struct_0(A)), k1_lopclset(A))) ) ) ) ).
fof(t9_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( ~ (v2_struct_0(g3_lattices(k1_lopclset(A), k4_lopclset(A), k5_lopclset(A))))  &  (v10_lattices(g3_lattices(k1_lopclset(A), k4_lopclset(A), k5_lopclset(A))) & l3_lattices(g3_lattices(k1_lopclset(A), k4_lopclset(A), k5_lopclset(A)))) ) ) ) ).
fof(d4_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => k6_lopclset(A)=g3_lattices(k1_lopclset(A), k4_lopclset(A), k5_lopclset(A))) ) ).
fof(t10_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k6_lopclset(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k6_lopclset(A))) => k3_lattices(k6_lopclset(A), B, C)=k2_xboole_0(B, C)) ) ) ) ) ) ).
fof(t11_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k6_lopclset(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k6_lopclset(A))) => k4_lattices(k6_lopclset(A), B, C)=k3_xboole_0(B, C)) ) ) ) ) ) ).
fof(t12_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => u1_struct_0(k6_lopclset(A))=k1_lopclset(A)) ) ).
fof(t13_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => m1_subset_1(k2_struct_0(A), u1_struct_0(k6_lopclset(A)))) ) ).
fof(t14_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => m1_subset_1(k1_struct_0(A), u1_struct_0(k6_lopclset(A)))) ) ).
fof(t15_lopclset, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v10_lattices(B) &  (v17_lattices(B) & l3_lattices(B)) ) ) )  =>  (r2_tarski(A, k7_lopclset(B)) <=>  (? [C] :  ( ( ~ (v1_xboole_0(C))  &  (v19_lattices(C, B) &  (v20_lattices(C, B) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B)))) ) )  &  (C=A & v1_filter_0(C, B)) ) ) ) ) ) ) ).
fof(t17_lopclset, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v10_lattices(B) &  (v17_lattices(B) & l3_lattices(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (r2_tarski(A, k1_funct_1(k8_lopclset(B), C)) <=>  (? [D] :  ( ( ~ (v1_xboole_0(D))  &  (v19_lattices(D, B) &  (v20_lattices(D, B) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) )  &  (D=A &  (v1_filter_0(D, B) & r2_tarski(C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t18_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v19_lattices(C, A) &  (v20_lattices(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (r2_tarski(C, k1_funct_1(k8_lopclset(A), B)) <=>  (v1_filter_0(C, A) & r2_tarski(B, C)) ) ) ) ) ) ) ) ).
fof(t19_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v19_lattices(D, A) &  (v20_lattices(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v1_filter_0(D, A) =>  (r2_tarski(k3_lattices(A, B, C), D) <=>  (r2_tarski(B, D) | r2_tarski(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_funct_1(k8_lopclset(A), k4_lattices(A, B, C))=k3_xboole_0(k1_funct_1(k8_lopclset(A), B), k1_funct_1(k8_lopclset(A), C))) ) ) ) ) ) ).
fof(t21_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_funct_1(k8_lopclset(A), k3_lattices(A, B, C))=k2_xboole_0(k1_funct_1(k8_lopclset(A), B), k1_funct_1(k8_lopclset(A), C))) ) ) ) ) ) ).
fof(d7_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) ) )  => k10_lopclset(A)=k2_relset_1(k9_setfam_1(k7_lopclset(A)), k9_lopclset(A))) ) ).
fof(t22_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) ) )  => r1_tarski(k10_lopclset(A), k9_setfam_1(k7_lopclset(A)))) ) ).
fof(t23_lopclset, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v10_lattices(B) &  (v17_lattices(B) & l3_lattices(B)) ) ) )  =>  (r2_tarski(A, k10_lopclset(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(B)) & k3_funct_2(u1_struct_0(B), k9_setfam_1(k7_lopclset(B)), k9_lopclset(B), C)=A) ) ) ) ) ) ).
fof(t24_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v19_lattices(C, A) &  (v20_lattices(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ~ ( (v1_filter_0(C, A) &  ( ~ (r2_tarski(C, k3_funct_2(u1_struct_0(A), k9_setfam_1(k7_lopclset(A)), k9_lopclset(A), B)))  & r2_tarski(B, C)) ) ) ) ) ) ) ) ) ).
fof(t25_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k7_subset_1(k1_zfmisc_1(u1_struct_0(A)), k7_lopclset(A), k3_funct_2(u1_struct_0(A), k9_setfam_1(k7_lopclset(A)), k9_lopclset(A), B))=k3_funct_2(u1_struct_0(A), k9_setfam_1(k7_lopclset(A)), k9_lopclset(A), k7_lattices(A, B))) ) ) ) ).
fof(d9_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) ) )  => k12_lopclset(A)=k6_lopclset(k11_lopclset(A))) ) ).
fof(t26_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) ) )  => k3_tarski(k10_lopclset(A))=k7_lopclset(A)) ) ).
fof(t27_lopclset, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ ( (! [B] :  (m1_subset_1(B, k5_finsub_1(A)) => v1_xboole_0(B)) ) ) ) ) ).
fof(t28_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( (r2_tarski(k5_lattices(A), k3_filter_0(A, B)) &  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k5_finsub_1(u1_struct_0(A))))  =>  ~ ( (r1_tarski(C, B) & k2_lattice4(A, C)=k5_lattices(A)) ) ) ) ) ) ) ) ) ) ).
fof(t29_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ~ ( (v1_filter_0(B, A) & r2_tarski(k5_lattices(A), B)) ) ) ) ) ) ).
fof(t30_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) ) )  => k3_funct_2(u1_struct_0(A), k9_setfam_1(k7_lopclset(A)), k9_lopclset(A), k5_lattices(A))=k1_xboole_0) ) ).
fof(t31_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) ) )  => k3_funct_2(u1_struct_0(A), k9_setfam_1(k7_lopclset(A)), k9_lopclset(A), k6_lattices(A))=k7_lopclset(A)) ) ).
fof(t32_lopclset, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v10_lattices(B) &  (v17_lattices(B) & l3_lattices(B)) ) ) )  =>  ~ ( (k7_lopclset(B)=k3_tarski(A) &  (m1_subset_1(A, k1_zfmisc_1(k10_lopclset(B))) &  (! [C] :  (m1_subset_1(C, k5_finsub_1(A)) =>  ~ (k7_lopclset(B)=k3_tarski(C)) ) ) ) ) ) ) ) ) ).
fof(t33_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) ) )  => k10_lopclset(A)=k1_lopclset(k11_lopclset(A))) ) ).
fof(t34_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) ) )  => k2_relset_1(u1_struct_0(k12_lopclset(A)), k13_lopclset(A))=u1_struct_0(k12_lopclset(A))) ) ).
fof(t35_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) ) )  => r1_filter_1(A, k12_lopclset(A))) ) ).
fof(t36_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) ) )  =>  (? [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  & r1_filter_1(A, k6_lopclset(B))) ) ) ) ).
fof(dt_k1_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  => m1_subset_1(k1_lopclset(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k2_lopclset, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (m1_subset_1(B, k1_lopclset(A)) & m1_subset_1(C, k1_lopclset(A))) )  => m2_subset_1(k2_lopclset(A, B, C), k1_zfmisc_1(u1_struct_0(A)), k1_lopclset(A))) ) ).
fof(commutativity_k2_lopclset, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (m1_subset_1(B, k1_lopclset(A)) & m1_subset_1(C, k1_lopclset(A))) )  => k2_lopclset(A, B, C)=k2_lopclset(A, C, B)) ) ).
fof(idempotence_k2_lopclset, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (m1_subset_1(B, k1_lopclset(A)) & m1_subset_1(C, k1_lopclset(A))) )  => k2_lopclset(A, B, B)=B) ) ).
fof(redefinition_k2_lopclset, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (m1_subset_1(B, k1_lopclset(A)) & m1_subset_1(C, k1_lopclset(A))) )  => k2_lopclset(A, B, C)=k2_xboole_0(B, C)) ) ).
fof(dt_k3_lopclset, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (m1_subset_1(B, k1_lopclset(A)) & m1_subset_1(C, k1_lopclset(A))) )  => m2_subset_1(k3_lopclset(A, B, C), k1_zfmisc_1(u1_struct_0(A)), k1_lopclset(A))) ) ).
fof(commutativity_k3_lopclset, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (m1_subset_1(B, k1_lopclset(A)) & m1_subset_1(C, k1_lopclset(A))) )  => k3_lopclset(A, B, C)=k3_lopclset(A, C, B)) ) ).
fof(idempotence_k3_lopclset, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (m1_subset_1(B, k1_lopclset(A)) & m1_subset_1(C, k1_lopclset(A))) )  => k3_lopclset(A, B, B)=B) ) ).
fof(redefinition_k3_lopclset, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (m1_subset_1(B, k1_lopclset(A)) & m1_subset_1(C, k1_lopclset(A))) )  => k3_lopclset(A, B, C)=k3_xboole_0(B, C)) ) ).
fof(dt_k4_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v1_funct_1(k4_lopclset(A)) &  (v1_funct_2(k4_lopclset(A), k2_zfmisc_1(k1_lopclset(A), k1_lopclset(A)), k1_lopclset(A)) & m1_subset_1(k4_lopclset(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_lopclset(A), k1_lopclset(A)), k1_lopclset(A))))) ) ) ) ).
fof(dt_k5_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v1_funct_1(k5_lopclset(A)) &  (v1_funct_2(k5_lopclset(A), k2_zfmisc_1(k1_lopclset(A), k1_lopclset(A)), k1_lopclset(A)) & m1_subset_1(k5_lopclset(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_lopclset(A), k1_lopclset(A)), k1_lopclset(A))))) ) ) ) ).
fof(dt_k6_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( ~ (v2_struct_0(k6_lopclset(A)))  &  (v10_lattices(k6_lopclset(A)) & l3_lattices(k6_lopclset(A))) ) ) ) ).
fof(dt_k7_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) ) )  => m1_subset_1(k7_lopclset(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k8_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) ) )  =>  (v1_relat_1(k8_lopclset(A)) & v1_funct_1(k8_lopclset(A))) ) ) ).
fof(dt_k9_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) ) )  =>  (v1_funct_1(k9_lopclset(A)) &  (v1_funct_2(k9_lopclset(A), u1_struct_0(A), k9_setfam_1(k7_lopclset(A))) & m1_subset_1(k9_lopclset(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k9_setfam_1(k7_lopclset(A)))))) ) ) ) ).
fof(redefinition_k9_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) ) )  => k9_lopclset(A)=k8_lopclset(A)) ) ).
fof(dt_k11_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) ) )  =>  (v1_pre_topc(k11_lopclset(A)) &  (v2_pre_topc(k11_lopclset(A)) & l1_pre_topc(k11_lopclset(A))) ) ) ) ).
fof(dt_k12_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) ) )  =>  ( ~ (v2_struct_0(k12_lopclset(A)))  &  (v10_lattices(k12_lopclset(A)) & l3_lattices(k12_lopclset(A))) ) ) ) ).
fof(dt_k13_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) ) )  => m1_lattice4(k13_lopclset(A), A, k12_lopclset(A))) ) ).
fof(redefinition_k13_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) ) )  => k13_lopclset(A)=k8_lopclset(A)) ) ).
fof(d1_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  => k1_lopclset(A)=a_1_0_lopclset(A)) ) ).
fof(d5_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) ) )  => k7_lopclset(A)=a_1_1_lopclset(A)) ) ).
fof(t16_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_tarski(a_2_0_lopclset(A, B), k7_lopclset(A))) ) ) ) ).
fof(d6_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (B=k8_lopclset(A) <=>  (k9_xtuple_0(B)=u1_struct_0(A) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_funct_1(B, C)=a_2_0_lopclset(A, C)) ) ) ) ) ) ) ) ).
fof(d8_lopclset, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & l3_lattices(A)) ) ) )  =>  (! [B] :  ( (v1_pre_topc(B) &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (B=k11_lopclset(A) <=>  (u1_struct_0(B)=k7_lopclset(A) & u1_pre_topc(B)=a_1_2_lopclset(A)) ) ) ) ) ) ).
fof(fraenkel_a_1_0_lopclset, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  & l1_pre_topc(B))  =>  (r2_hidden(A, a_1_0_lopclset(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) &  (A=C &  (v3_pre_topc(C, B) & v4_pre_topc(C, B)) ) ) ) ) ) ) ).
fof(fraenkel_a_1_1_lopclset, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v10_lattices(B) &  (v17_lattices(B) & l3_lattices(B)) ) ) )  =>  (r2_hidden(A, a_1_1_lopclset(B)) <=>  (? [C] :  ( ( ~ (v1_xboole_0(C))  &  (v19_lattices(C, B) &  (v20_lattices(C, B) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B)))) ) )  &  (A=C & v1_filter_0(C, B)) ) ) ) ) ) ).
fof(fraenkel_a_2_0_lopclset, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v10_lattices(B) &  (v17_lattices(B) & l3_lattices(B)) ) ) )  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_2_0_lopclset(B, C)) <=>  (? [D] :  ( ( ~ (v1_xboole_0(D))  &  (v19_lattices(D, B) &  (v20_lattices(D, B) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) )  &  (A=D &  (v1_filter_0(D, B) & r2_tarski(C, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_1_2_lopclset, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v10_lattices(B) &  (v17_lattices(B) & l3_lattices(B)) ) ) )  =>  (r2_hidden(A, a_1_2_lopclset(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k7_lopclset(B)))) &  (A=k5_setfam_1(k7_lopclset(B), C) & r1_tarski(C, k10_lopclset(B))) ) ) ) ) ) ).
fof(d1_lp_space, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (C=k1_lp_space(A, B) <=>  (! [D] :  (v7_ordinal1(D) => k8_nat_1(k1_numbers, C, D)=k2_power(k9_complex1(k8_nat_1(k1_numbers, A, D)), B)) ) ) ) ) ) ) ) ) ).
fof(d2_lp_space, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r1_xxreal_0(1, A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k4_rsspace))))  =>  (B=k2_lp_space(A) <=>  (! [C] :  (r2_tarski(C, B) <=>  (r2_tarski(C, k1_rsspace) & v1_series_1(k1_lp_space(k2_rsspace(C), A))) ) ) ) ) ) ) ) ) ).
fof(t1_lp_space, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( (r1_xxreal_0(k5_numbers, A) &  ( ~ (r1_xxreal_0(B, A))  &  ( ~ (r1_xxreal_0(C, k5_numbers))  & r1_xxreal_0(k2_power(B, C), k2_power(A, C))) ) ) ) ) ) ) ) ) ) ).
fof(t2_lp_space, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r1_xxreal_0(1, A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k2_power(k8_nat_1(k1_numbers, k3_series_1(k1_lp_space(k1_series_1(k1_numbers, B, C), A)), D), k7_xcmplx_0(1, A)), k2_xcmplx_0(k2_power(k8_nat_1(k1_numbers, k3_series_1(k1_lp_space(B, A)), D), k7_xcmplx_0(1, A)), k2_power(k8_nat_1(k1_numbers, k3_series_1(k1_lp_space(C, A)), D), k7_xcmplx_0(1, A))))) ) ) ) ) ) ) ) ) ).
fof(t3_lp_space, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_xxreal_0(1, C) &  (v1_series_1(k1_lp_space(A, C)) & v1_series_1(k1_lp_space(B, C))) )  =>  (v1_series_1(k1_lp_space(k1_series_1(k1_numbers, A, B), C)) & r1_xxreal_0(k2_power(k4_series_1(k1_lp_space(k1_series_1(k1_numbers, A, B), C)), k7_xcmplx_0(1, C)), k2_xcmplx_0(k2_power(k4_series_1(k1_lp_space(A, C)), k7_xcmplx_0(1, C)), k2_power(k4_series_1(k1_lp_space(B, C)), k7_xcmplx_0(1, C))))) ) ) ) ) ) ) ) ).
fof(t4_lp_space, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r1_xxreal_0(1, A) => v1_rlsub_1(k2_lp_space(A), k4_rsspace)) ) ) ).
fof(t5_lp_space, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r1_xxreal_0(1, A) => m1_rlsub_1(g1_rlvect_1(k2_lp_space(A), k7_rsspace(k4_rsspace, k2_lp_space(A)), k5_rsspace(k4_rsspace, k2_lp_space(A)), k6_rsspace(k4_rsspace, k2_lp_space(A))), k4_rsspace)) ) ) ).
fof(t6_lp_space, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r1_xxreal_0(1, A) =>  (v2_rlvect_1(g1_rlvect_1(k2_lp_space(A), k7_rsspace(k4_rsspace, k2_lp_space(A)), k5_rsspace(k4_rsspace, k2_lp_space(A)), k6_rsspace(k4_rsspace, k2_lp_space(A)))) &  (v3_rlvect_1(g1_rlvect_1(k2_lp_space(A), k7_rsspace(k4_rsspace, k2_lp_space(A)), k5_rsspace(k4_rsspace, k2_lp_space(A)), k6_rsspace(k4_rsspace, k2_lp_space(A)))) &  (v4_rlvect_1(g1_rlvect_1(k2_lp_space(A), k7_rsspace(k4_rsspace, k2_lp_space(A)), k5_rsspace(k4_rsspace, k2_lp_space(A)), k6_rsspace(k4_rsspace, k2_lp_space(A)))) &  (v13_algstr_0(g1_rlvect_1(k2_lp_space(A), k7_rsspace(k4_rsspace, k2_lp_space(A)), k5_rsspace(k4_rsspace, k2_lp_space(A)), k6_rsspace(k4_rsspace, k2_lp_space(A)))) &  (v5_rlvect_1(g1_rlvect_1(k2_lp_space(A), k7_rsspace(k4_rsspace, k2_lp_space(A)), k5_rsspace(k4_rsspace, k2_lp_space(A)), k6_rsspace(k4_rsspace, k2_lp_space(A)))) &  (v6_rlvect_1(g1_rlvect_1(k2_lp_space(A), k7_rsspace(k4_rsspace, k2_lp_space(A)), k5_rsspace(k4_rsspace, k2_lp_space(A)), k6_rsspace(k4_rsspace, k2_lp_space(A)))) &  (v7_rlvect_1(g1_rlvect_1(k2_lp_space(A), k7_rsspace(k4_rsspace, k2_lp_space(A)), k5_rsspace(k4_rsspace, k2_lp_space(A)), k6_rsspace(k4_rsspace, k2_lp_space(A)))) & v8_rlvect_1(g1_rlvect_1(k2_lp_space(A), k7_rsspace(k4_rsspace, k2_lp_space(A)), k5_rsspace(k4_rsspace, k2_lp_space(A)), k6_rsspace(k4_rsspace, k2_lp_space(A))))) ) ) ) ) ) ) ) ) ) ).
fof(t7_lp_space, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r1_xxreal_0(1, A) =>  ( ~ (v2_struct_0(g1_rlvect_1(k2_lp_space(A), k7_rsspace(k4_rsspace, k2_lp_space(A)), k5_rsspace(k4_rsspace, k2_lp_space(A)), k6_rsspace(k4_rsspace, k2_lp_space(A)))))  &  (v13_algstr_0(g1_rlvect_1(k2_lp_space(A), k7_rsspace(k4_rsspace, k2_lp_space(A)), k5_rsspace(k4_rsspace, k2_lp_space(A)), k6_rsspace(k4_rsspace, k2_lp_space(A)))) &  (v2_rlvect_1(g1_rlvect_1(k2_lp_space(A), k7_rsspace(k4_rsspace, k2_lp_space(A)), k5_rsspace(k4_rsspace, k2_lp_space(A)), k6_rsspace(k4_rsspace, k2_lp_space(A)))) &  (v3_rlvect_1(g1_rlvect_1(k2_lp_space(A), k7_rsspace(k4_rsspace, k2_lp_space(A)), k5_rsspace(k4_rsspace, k2_lp_space(A)), k6_rsspace(k4_rsspace, k2_lp_space(A)))) &  (v4_rlvect_1(g1_rlvect_1(k2_lp_space(A), k7_rsspace(k4_rsspace, k2_lp_space(A)), k5_rsspace(k4_rsspace, k2_lp_space(A)), k6_rsspace(k4_rsspace, k2_lp_space(A)))) &  (v5_rlvect_1(g1_rlvect_1(k2_lp_space(A), k7_rsspace(k4_rsspace, k2_lp_space(A)), k5_rsspace(k4_rsspace, k2_lp_space(A)), k6_rsspace(k4_rsspace, k2_lp_space(A)))) &  (v6_rlvect_1(g1_rlvect_1(k2_lp_space(A), k7_rsspace(k4_rsspace, k2_lp_space(A)), k5_rsspace(k4_rsspace, k2_lp_space(A)), k6_rsspace(k4_rsspace, k2_lp_space(A)))) &  (v7_rlvect_1(g1_rlvect_1(k2_lp_space(A), k7_rsspace(k4_rsspace, k2_lp_space(A)), k5_rsspace(k4_rsspace, k2_lp_space(A)), k6_rsspace(k4_rsspace, k2_lp_space(A)))) &  (v8_rlvect_1(g1_rlvect_1(k2_lp_space(A), k7_rsspace(k4_rsspace, k2_lp_space(A)), k5_rsspace(k4_rsspace, k2_lp_space(A)), k6_rsspace(k4_rsspace, k2_lp_space(A)))) & l1_rlvect_1(g1_rlvect_1(k2_lp_space(A), k7_rsspace(k4_rsspace, k2_lp_space(A)), k5_rsspace(k4_rsspace, k2_lp_space(A)), k6_rsspace(k4_rsspace, k2_lp_space(A))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_lp_space, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_lp_space(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_lp_space(A), k1_numbers)))) )  =>  (B=k3_lp_space(A) <=>  (! [C] :  (r2_hidden(C, k2_lp_space(A)) => k1_funct_1(B, C)=k2_power(k4_series_1(k1_lp_space(k2_rsspace(C), A)), k7_xcmplx_0(1, A))) ) ) ) ) ) ) ).
fof(t8_lp_space, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r1_xxreal_0(1, A) =>  ( ~ (v2_struct_0(g1_normsp_1(k2_lp_space(A), k7_rsspace(k4_rsspace, k2_lp_space(A)), k5_rsspace(k4_rsspace, k2_lp_space(A)), k6_rsspace(k4_rsspace, k2_lp_space(A)), k3_lp_space(A))))  &  (v13_algstr_0(g1_normsp_1(k2_lp_space(A), k7_rsspace(k4_rsspace, k2_lp_space(A)), k5_rsspace(k4_rsspace, k2_lp_space(A)), k6_rsspace(k4_rsspace, k2_lp_space(A)), k3_lp_space(A))) &  (v2_rlvect_1(g1_normsp_1(k2_lp_space(A), k7_rsspace(k4_rsspace, k2_lp_space(A)), k5_rsspace(k4_rsspace, k2_lp_space(A)), k6_rsspace(k4_rsspace, k2_lp_space(A)), k3_lp_space(A))) &  (v3_rlvect_1(g1_normsp_1(k2_lp_space(A), k7_rsspace(k4_rsspace, k2_lp_space(A)), k5_rsspace(k4_rsspace, k2_lp_space(A)), k6_rsspace(k4_rsspace, k2_lp_space(A)), k3_lp_space(A))) &  (v4_rlvect_1(g1_normsp_1(k2_lp_space(A), k7_rsspace(k4_rsspace, k2_lp_space(A)), k5_rsspace(k4_rsspace, k2_lp_space(A)), k6_rsspace(k4_rsspace, k2_lp_space(A)), k3_lp_space(A))) &  (v5_rlvect_1(g1_normsp_1(k2_lp_space(A), k7_rsspace(k4_rsspace, k2_lp_space(A)), k5_rsspace(k4_rsspace, k2_lp_space(A)), k6_rsspace(k4_rsspace, k2_lp_space(A)), k3_lp_space(A))) &  (v6_rlvect_1(g1_normsp_1(k2_lp_space(A), k7_rsspace(k4_rsspace, k2_lp_space(A)), k5_rsspace(k4_rsspace, k2_lp_space(A)), k6_rsspace(k4_rsspace, k2_lp_space(A)), k3_lp_space(A))) &  (v7_rlvect_1(g1_normsp_1(k2_lp_space(A), k7_rsspace(k4_rsspace, k2_lp_space(A)), k5_rsspace(k4_rsspace, k2_lp_space(A)), k6_rsspace(k4_rsspace, k2_lp_space(A)), k3_lp_space(A))) &  (v8_rlvect_1(g1_normsp_1(k2_lp_space(A), k7_rsspace(k4_rsspace, k2_lp_space(A)), k5_rsspace(k4_rsspace, k2_lp_space(A)), k6_rsspace(k4_rsspace, k2_lp_space(A)), k3_lp_space(A))) & l1_rlvect_1(g1_normsp_1(k2_lp_space(A), k7_rsspace(k4_rsspace, k2_lp_space(A)), k5_rsspace(k4_rsspace, k2_lp_space(A)), k6_rsspace(k4_rsspace, k2_lp_space(A)), k3_lp_space(A)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_lp_space, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r1_xxreal_0(1, A) => m1_rlsub_1(g1_normsp_1(k2_lp_space(A), k7_rsspace(k4_rsspace, k2_lp_space(A)), k5_rsspace(k4_rsspace, k2_lp_space(A)), k6_rsspace(k4_rsspace, k2_lp_space(A)), k3_lp_space(A)), k4_rsspace)) ) ) ).
fof(t10_lp_space, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r1_xxreal_0(1, A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_normsp_1(B))  =>  (B=g1_normsp_1(k2_lp_space(A), k7_rsspace(k4_rsspace, k2_lp_space(A)), k5_rsspace(k4_rsspace, k2_lp_space(A)), k6_rsspace(k4_rsspace, k2_lp_space(A)), k3_lp_space(A)) =>  (u1_struct_0(B)=k2_lp_space(A) &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(B)) <=>  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  & v1_series_1(k1_lp_space(k2_rsspace(C), A))) ) )  &  (k4_struct_0(B)=k3_rsspace &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => C=k2_rsspace(C)) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k1_algstr_0(B, C, D)=k1_series_1(k1_numbers, k2_rsspace(C), k2_rsspace(D))) ) ) )  &  ( (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k1_rlvect_1(B, D, C)=k26_valued_1(k4_ordinal1, k1_numbers, k2_rsspace(D), C)) ) ) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (k4_algstr_0(B, C)=k32_valued_1(k4_ordinal1, k1_numbers, k2_rsspace(C)) & r2_funct_2(k4_ordinal1, k1_numbers, k2_rsspace(k4_algstr_0(B, C)), k32_valued_1(k4_ordinal1, k1_numbers, k2_rsspace(C)))) ) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k5_algstr_0(B, C, D)=k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k2_rsspace(C), k2_rsspace(D))) ) ) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => v1_series_1(k1_lp_space(k2_rsspace(C), A))) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k2_normsp_0(B, C)=k2_power(k4_series_1(k1_lp_space(k2_rsspace(C), A)), k7_xcmplx_0(1, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_lp_space, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r1_xxreal_0(1, A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (! [C] :  (v7_ordinal1(C) => k8_nat_1(k1_numbers, B, C)=k5_numbers) )  =>  (v1_series_1(k1_lp_space(B, A)) & k2_power(k4_series_1(k1_lp_space(B, A)), k7_xcmplx_0(1, A))=k5_numbers) ) ) ) ) ) ) ).
fof(t12_lp_space, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r1_xxreal_0(1, A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v1_series_1(k1_lp_space(B, A)) & k2_power(k4_series_1(k1_lp_space(B, A)), k7_xcmplx_0(1, A))=k5_numbers)  =>  (! [C] :  (v7_ordinal1(C) => k8_nat_1(k1_numbers, B, C)=k5_numbers) ) ) ) ) ) ) ) ).
fof(t13_lp_space, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r1_xxreal_0(1, A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_normsp_1(B))  =>  (B=g1_normsp_1(k2_lp_space(A), k7_rsspace(k4_rsspace, k2_lp_space(A)), k5_rsspace(k4_rsspace, k2_lp_space(A)), k6_rsspace(k4_rsspace, k2_lp_space(A)), k3_lp_space(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (v1_xreal_0(E) =>  ( (k2_normsp_0(B, C)=k5_numbers => C=k4_struct_0(B))  &  ( (C=k4_struct_0(B) => k2_normsp_0(B, C)=k5_numbers)  &  (r1_xxreal_0(k5_numbers, k2_normsp_0(B, C)) &  (r1_xxreal_0(k2_normsp_0(B, k1_algstr_0(B, C, D)), k2_xcmplx_0(k2_normsp_0(B, C), k2_normsp_0(B, D))) & k2_normsp_0(B, k1_rlvect_1(B, C, E))=k3_xcmplx_0(k9_complex1(E), k2_normsp_0(B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_lp_space, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r1_xxreal_0(1, A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_normsp_1(B))  =>  (B=g1_normsp_1(k2_lp_space(A), k7_rsspace(k4_rsspace, k2_lp_space(A)), k5_rsspace(k4_rsspace, k2_lp_space(A)), k6_rsspace(k4_rsspace, k2_lp_space(A)), k3_lp_space(A)) =>  (v4_normsp_0(B) &  (v3_normsp_0(B) & v2_normsp_1(B)) ) ) ) ) ) ) ) ).
fof(t15_lp_space, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r1_xxreal_0(1, A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_normsp_1(B))  =>  (B=g1_normsp_1(k2_lp_space(A), k7_rsspace(k4_rsspace, k2_lp_space(A)), k5_rsspace(k4_rsspace, k2_lp_space(A)), k6_rsspace(k4_rsspace, k2_lp_space(A)), k3_lp_space(A)) =>  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_lp_space, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r1_xxreal_0(1, A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (B=g1_normsp_1(k2_lp_space(A), k7_rsspace(k4_rsspace, k2_lp_space(A)), k5_rsspace(k4_rsspace, k2_lp_space(A)), k6_rsspace(k4_rsspace, k2_lp_space(A)), k3_lp_space(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  (v1_rsspace3(C, B) => v3_normsp_1(C, B)) ) ) ) ) ) ) ) ) ).
fof(d4_lp_space, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r1_xxreal_0(1, A) => k4_lp_space(A)=g1_normsp_1(k2_lp_space(A), k7_rsspace(k4_rsspace, k2_lp_space(A)), k5_rsspace(k4_rsspace, k2_lp_space(A)), k6_rsspace(k4_rsspace, k2_lp_space(A)), k3_lp_space(A))) ) ) ).
fof(dt_k1_lp_space, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  & v1_xreal_0(B))  =>  (v1_funct_1(k1_lp_space(A, B)) &  (v1_funct_2(k1_lp_space(A, B), k4_ordinal1, k1_numbers) & m1_subset_1(k1_lp_space(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k2_lp_space, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (v1_xboole_0(k2_lp_space(A)))  & m1_subset_1(k2_lp_space(A), k1_zfmisc_1(u1_struct_0(k4_rsspace)))) ) ) ).
fof(dt_k3_lp_space, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_funct_1(k3_lp_space(A)) &  (v1_funct_2(k3_lp_space(A), k2_lp_space(A), k1_numbers) & m1_subset_1(k3_lp_space(A), k1_zfmisc_1(k2_zfmisc_1(k2_lp_space(A), k1_numbers)))) ) ) ) ).
fof(dt_k4_lp_space, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (v2_struct_0(k4_lp_space(A)))  &  (v13_algstr_0(k4_lp_space(A)) &  (v2_rlvect_1(k4_lp_space(A)) &  (v3_rlvect_1(k4_lp_space(A)) &  (v4_rlvect_1(k4_lp_space(A)) &  (v5_rlvect_1(k4_lp_space(A)) &  (v6_rlvect_1(k4_lp_space(A)) &  (v7_rlvect_1(k4_lp_space(A)) &  (v8_rlvect_1(k4_lp_space(A)) &  (v3_normsp_0(k4_lp_space(A)) &  (v4_normsp_0(k4_lp_space(A)) &  (v2_normsp_1(k4_lp_space(A)) &  (v3_lopban_1(k4_lp_space(A)) & l1_normsp_1(k4_lp_space(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_lpspacc1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & v1_membered(B))  =>  (! [C] :  (m1_subset_1(C, k3_rfunct_3(A, B)) => v1_valued_0(C)) ) ) ) ).
fof(rc1_lpspacc1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) & v1_lpspacc1(B, A)) ) ) ) ) ) ).
fof(fc1_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k9_lpspacc1(A)) &  (v1_funct_2(k9_lpspacc1(A), k2_zfmisc_1(k3_rfunct_3(A, k2_numbers), k3_rfunct_3(A, k2_numbers)), k3_rfunct_3(A, k2_numbers)) &  (v1_binop_1(k9_lpspacc1(A), k3_rfunct_3(A, k2_numbers)) & v2_binop_1(k9_lpspacc1(A), k3_rfunct_3(A, k2_numbers))) ) ) ) ) ).
fof(fc2_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k7_lpspacc1(A)) &  (v1_funct_2(k7_lpspacc1(A), k2_zfmisc_1(k3_rfunct_3(A, k2_numbers), k3_rfunct_3(A, k2_numbers)), k3_rfunct_3(A, k2_numbers)) &  (v1_binop_1(k7_lpspacc1(A), k3_rfunct_3(A, k2_numbers)) & v2_binop_1(k7_lpspacc1(A), k3_rfunct_3(A, k2_numbers))) ) ) ) ) ).
fof(fc3_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k12_lpspacc1(A)))  &  (v2_rlvect_1(k12_lpspacc1(A)) &  (v3_rlvect_1(k12_lpspacc1(A)) &  (v4_rlvect_1(k12_lpspacc1(A)) &  (v1_clvect_1(k12_lpspacc1(A)) &  (v2_clvect_1(k12_lpspacc1(A)) &  (v3_clvect_1(k12_lpspacc1(A)) &  (v4_clvect_1(k12_lpspacc1(A)) & v5_clvect_1(k12_lpspacc1(A))) ) ) ) ) ) ) ) ) ) ).
fof(fc4_lpspacc1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  =>  (v1_relat_1(k54_valued_1(B)) &  (v1_funct_1(k54_valued_1(B)) &  (v3_valued_0(k54_valued_1(B)) & v6_supinf_2(k54_valued_1(B))) ) ) ) ) ).
fof(fc5_lpspacc1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k13_lpspacc1(A, B, C)))  &  (v1_ideal_1(k13_lpspacc1(A, B, C), k12_lpspacc1(A)) & v1_lpspacc1(k13_lpspacc1(A, B, C), k12_lpspacc1(A))) ) ) ) ).
fof(fc6_lpspacc1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k14_lpspacc1(A, B, C)))  &  (v2_rlvect_1(k14_lpspacc1(A, B, C)) &  (v3_rlvect_1(k14_lpspacc1(A, B, C)) &  (v4_rlvect_1(k14_lpspacc1(A, B, C)) &  (v1_clvect_1(k14_lpspacc1(A, B, C)) &  (v2_clvect_1(k14_lpspacc1(A, B, C)) &  (v3_clvect_1(k14_lpspacc1(A, B, C)) &  (v4_clvect_1(k14_lpspacc1(A, B, C)) & v5_clvect_1(k14_lpspacc1(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(fc7_lpspacc1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k15_lpspacc1(A, B, C)))  &  (v1_ideal_1(k15_lpspacc1(A, B, C), k14_lpspacc1(A, B, C)) & v1_lpspacc1(k15_lpspacc1(A, B, C), k14_lpspacc1(A, B, C))) ) ) ) ).
fof(fc8_lpspacc1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k14_lpspacc1(A, B, C)))  &  (v2_rlvect_1(k14_lpspacc1(A, B, C)) &  (v3_rlvect_1(k14_lpspacc1(A, B, C)) &  (v4_rlvect_1(k14_lpspacc1(A, B, C)) &  (v1_clvect_1(k14_lpspacc1(A, B, C)) &  (v2_clvect_1(k14_lpspacc1(A, B, C)) &  (v3_clvect_1(k14_lpspacc1(A, B, C)) &  (v4_clvect_1(k14_lpspacc1(A, B, C)) & v5_clvect_1(k14_lpspacc1(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(fc9_lpspacc1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k24_lpspacc1(A, B, C)))  &  (v13_algstr_0(k24_lpspacc1(A, B, C)) &  (v2_rlvect_1(k24_lpspacc1(A, B, C)) &  (v3_rlvect_1(k24_lpspacc1(A, B, C)) &  (v4_rlvect_1(k24_lpspacc1(A, B, C)) &  (v2_clvect_1(k24_lpspacc1(A, B, C)) &  (v3_clvect_1(k24_lpspacc1(A, B, C)) &  (v4_clvect_1(k24_lpspacc1(A, B, C)) &  (v5_clvect_1(k24_lpspacc1(A, B, C)) & v8_clvect_1(k24_lpspacc1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_lpspacc1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_lpspacc1(B, A) <=>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, B) => r2_tarski(k1_clvect_1(A, D, C), B)) ) ) ) ) ) ) ) ) ) ).
fof(t1_lpspacc1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v6_clvect_1(B, A) <=>  (v1_ideal_1(B, A) & v1_lpspacc1(B, A)) ) ) ) ) ) ).
fof(d2_lpspacc1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_lpspacc1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => k6_lpspacc1(A, B)=k2_partfun1(k2_zfmisc_1(k2_numbers, u1_struct_0(A)), u1_struct_0(A), u1_clvect_1(A), k2_zfmisc_1(k2_numbers, B))) ) ) ) ).
fof(t2_lpspacc1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(B, B), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(k2_numbers, B), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, B), B)))) )  =>  ( (C=k4_struct_0(A) &  (D=k1_realset1(u1_algstr_0(A), B) & E=k2_partfun1(k2_zfmisc_1(k2_numbers, u1_struct_0(A)), u1_struct_0(A), u1_clvect_1(A), k2_zfmisc_1(k2_numbers, B))) )  =>  (v2_rlvect_1(g1_clvect_1(B, C, D, E)) &  (v3_rlvect_1(g1_clvect_1(B, C, D, E)) &  (v4_rlvect_1(g1_clvect_1(B, C, D, E)) &  (v2_clvect_1(g1_clvect_1(B, C, D, E)) &  (v3_clvect_1(g1_clvect_1(B, C, D, E)) &  (v4_clvect_1(g1_clvect_1(B, C, D, E)) & v5_clvect_1(g1_clvect_1(B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_lpspacc1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) & l1_clvect_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v1_lpspacc1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (r2_tarski(k4_struct_0(A), B) =>  (v2_rlvect_1(g1_clvect_1(B, k10_subset_1(k4_struct_0(A), B), k1_ideal_1(A, B), k6_lpspacc1(A, B))) &  (v3_rlvect_1(g1_clvect_1(B, k10_subset_1(k4_struct_0(A), B), k1_ideal_1(A, B), k6_lpspacc1(A, B))) &  (v4_rlvect_1(g1_clvect_1(B, k10_subset_1(k4_struct_0(A), B), k1_ideal_1(A, B), k6_lpspacc1(A, B))) &  (v2_clvect_1(g1_clvect_1(B, k10_subset_1(k4_struct_0(A), B), k1_ideal_1(A, B), k6_lpspacc1(A, B))) &  (v3_clvect_1(g1_clvect_1(B, k10_subset_1(k4_struct_0(A), B), k1_ideal_1(A, B), k6_lpspacc1(A, B))) &  (v4_clvect_1(g1_clvect_1(B, k10_subset_1(k4_struct_0(A), B), k1_ideal_1(A, B), k6_lpspacc1(A, B))) & v5_clvect_1(g1_clvect_1(B, k10_subset_1(k4_struct_0(A), B), k1_ideal_1(A, B), k6_lpspacc1(A, B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k3_rfunct_3(A, k2_numbers), k3_rfunct_3(A, k2_numbers)), k3_rfunct_3(A, k2_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rfunct_3(A, k2_numbers), k3_rfunct_3(A, k2_numbers)), k3_rfunct_3(A, k2_numbers))))) )  =>  (B=k7_lpspacc1(A) <=>  (! [C] :  (m2_rfunct_3(C, A, k2_numbers, k3_rfunct_3(A, k2_numbers)) =>  (! [D] :  (m2_rfunct_3(D, A, k2_numbers, k3_rfunct_3(A, k2_numbers)) => r2_relset_1(A, k2_numbers, k2_lpspace1(A, k2_numbers, B, C, D), k3_lpspacc1(A, k2_numbers, C, D))) ) ) ) ) ) ) ) ) ).
fof(d4_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k2_numbers, k3_rfunct_3(A, k2_numbers)), k3_rfunct_3(A, k2_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, k3_rfunct_3(A, k2_numbers)), k3_rfunct_3(A, k2_numbers))))) )  =>  (B=k8_lpspacc1(A) <=>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (m2_rfunct_3(D, A, k2_numbers, k3_rfunct_3(A, k2_numbers)) => k1_binop_1(B, C, D)=k5_lpspacc1(A, k2_numbers, D, C)) ) ) ) ) ) ) ) ) ).
fof(d5_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k3_rfunct_3(A, k2_numbers), k3_rfunct_3(A, k2_numbers)), k3_rfunct_3(A, k2_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rfunct_3(A, k2_numbers), k3_rfunct_3(A, k2_numbers)), k3_rfunct_3(A, k2_numbers))))) )  =>  (B=k9_lpspacc1(A) <=>  (! [C] :  (m2_rfunct_3(C, A, k2_numbers, k3_rfunct_3(A, k2_numbers)) =>  (! [D] :  (m2_rfunct_3(D, A, k2_numbers, k3_rfunct_3(A, k2_numbers)) => r2_relset_1(A, k2_numbers, k2_lpspace1(A, k2_numbers, B, C, D), k1_lpspacc1(A, k2_numbers, C, D))) ) ) ) ) ) ) ) ) ).
fof(d6_lpspacc1, axiom,  (! [A] : k10_lpspacc1(A)=k8_funcop_1(k2_numbers, A, k5_complex1)) ).
fof(d7_lpspacc1, axiom,  (! [A] : k11_lpspacc1(A)=k8_funcop_1(k2_numbers, A, k6_complex1)) ).
fof(t4_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_rfunct_3(B, A, k2_numbers, k3_rfunct_3(A, k2_numbers)) =>  (! [C] :  (m2_rfunct_3(C, A, k2_numbers, k3_rfunct_3(A, k2_numbers)) =>  (! [D] :  (m2_rfunct_3(D, A, k2_numbers, k3_rfunct_3(A, k2_numbers)) =>  (r2_relset_1(A, k2_numbers, D, k2_lpspace1(A, k2_numbers, k9_lpspacc1(A), B, C)) <=>  (k1_relset_1(A, D)=k9_subset_1(A, k1_relset_1(A, B), k1_relset_1(A, C)) &  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, k1_relset_1(A, D)) => k1_funct_1(D, E)=k2_xcmplx_0(k1_funct_1(B, E), k1_funct_1(C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_rfunct_3(B, A, k2_numbers, k3_rfunct_3(A, k2_numbers)) =>  (! [C] :  (m2_rfunct_3(C, A, k2_numbers, k3_rfunct_3(A, k2_numbers)) =>  (! [D] :  (m2_rfunct_3(D, A, k2_numbers, k3_rfunct_3(A, k2_numbers)) =>  (r2_relset_1(A, k2_numbers, D, k2_lpspace1(A, k2_numbers, k7_lpspacc1(A), B, C)) <=>  (k1_relset_1(A, D)=k9_subset_1(A, k1_relset_1(A, B), k1_relset_1(A, C)) &  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, k1_relset_1(A, D)) => k1_funct_1(D, E)=k3_xcmplx_0(k1_funct_1(B, E), k1_funct_1(C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (k10_lpspacc1(A)=k11_lpspacc1(A)) ) ) ).
fof(t7_lpspacc1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_rfunct_3(C, B, k2_numbers, k3_rfunct_3(B, k2_numbers)) =>  (! [D] :  (m2_rfunct_3(D, B, k2_numbers, k3_rfunct_3(B, k2_numbers)) =>  (D=k1_binop_1(k8_lpspacc1(B), A, C) <=>  (k1_relset_1(B, D)=k1_relset_1(B, C) &  (! [E] :  (m1_subset_1(E, B) =>  (r2_tarski(E, k1_relset_1(B, C)) => k1_funct_1(D, E)=k3_xcmplx_0(A, k1_funct_1(C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => r3_binop_1(k3_rfunct_3(A, k2_numbers), k11_lpspacc1(A), k7_lpspacc1(A))) ) ).
fof(t9_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => r3_binop_1(k3_rfunct_3(A, k2_numbers), k10_lpspacc1(A), k9_lpspacc1(A))) ) ).
fof(t10_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_rfunct_3(B, A, k2_numbers, k3_rfunct_3(A, k2_numbers)) => k1_binop_1(k9_lpspacc1(A), B, k1_binop_1(k8_lpspacc1(A), k4_xcmplx_0(k6_complex1), B))=k2_partfun1(A, k2_numbers, k10_lpspacc1(A), k1_relset_1(A, B))) ) ) ) ).
fof(t11_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_rfunct_3(B, A, k2_numbers, k3_rfunct_3(A, k2_numbers)) => k2_binop_1(k2_numbers, k3_rfunct_3(A, k2_numbers), k3_rfunct_3(A, k2_numbers), k8_lpspacc1(A), k6_complex1, B)=B) ) ) ) ).
fof(t12_lpspacc1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m2_rfunct_3(D, C, k2_numbers, k3_rfunct_3(C, k2_numbers)) => k1_binop_1(k8_lpspacc1(C), A, k1_binop_1(k8_lpspacc1(C), B, D))=k1_binop_1(k8_lpspacc1(C), k3_xcmplx_0(A, B), D)) ) ) ) ) ) ) ) ).
fof(t13_lpspacc1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m2_rfunct_3(D, C, k2_numbers, k3_rfunct_3(C, k2_numbers)) => k1_binop_1(k9_lpspacc1(C), k1_binop_1(k8_lpspacc1(C), A, D), k1_binop_1(k8_lpspacc1(C), B, D))=k1_binop_1(k8_lpspacc1(C), k2_xcmplx_0(A, B), D)) ) ) ) ) ) ) ) ).
fof(t14_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_rfunct_3(B, A, k2_numbers, k3_rfunct_3(A, k2_numbers)) =>  (! [C] :  (m2_rfunct_3(C, A, k2_numbers, k3_rfunct_3(A, k2_numbers)) =>  (! [D] :  (m2_rfunct_3(D, A, k2_numbers, k3_rfunct_3(A, k2_numbers)) => r2_relset_1(A, k2_numbers, k2_lpspace1(A, k2_numbers, k7_lpspacc1(A), B, k2_lpspace1(A, k2_numbers, k9_lpspacc1(A), C, D)), k2_lpspace1(A, k2_numbers, k9_lpspacc1(A), k2_lpspace1(A, k2_numbers, k7_lpspacc1(A), B, C), k2_lpspace1(A, k2_numbers, k7_lpspacc1(A), B, D)))) ) ) ) ) ) ) ) ).
fof(t15_lpspacc1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_rfunct_3(C, B, k2_numbers, k3_rfunct_3(B, k2_numbers)) =>  (! [D] :  (m2_rfunct_3(D, B, k2_numbers, k3_rfunct_3(B, k2_numbers)) => k1_binop_1(k7_lpspacc1(B), k1_binop_1(k8_lpspacc1(B), A, C), D)=k1_binop_1(k8_lpspacc1(B), A, k2_lpspace1(B, k2_numbers, k7_lpspacc1(B), C, D))) ) ) ) ) ) ) ) ).
fof(d8_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k12_lpspacc1(A)=g1_clvect_1(k3_rfunct_3(A, k2_numbers), k10_lpspacc1(A), k9_lpspacc1(A), k8_lpspacc1(A))) ) ).
fof(t16_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  ( (r2_tarski(k1_relset_1(A, D), B) &  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, k1_relset_1(A, D)) => k5_numbers=k1_funct_1(D, E)) ) ) )  =>  (r2_mesfun6c(A, B, C, D) & k1_mesfun6c(A, B, C, D)=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t17_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  ( (r2_tarski(D, k13_lpspacc1(A, B, C)) & r2_tarski(E, k13_lpspacc1(A, B, C)))  => r2_tarski(k2_valued_1(A, k2_numbers, k2_numbers, D, E), k13_lpspacc1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_lpspacc1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, C, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k2_numbers))))  =>  (r2_tarski(E, k13_lpspacc1(B, C, D)) => r2_tarski(k25_valued_1(B, k2_numbers, E, A), k13_lpspacc1(B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  => k14_lpspacc1(A, B, C)=g1_clvect_1(k13_lpspacc1(A, B, C), k10_subset_1(k4_struct_0(k12_lpspacc1(A)), k13_lpspacc1(A, B, C)), k1_ideal_1(k12_lpspacc1(A), k13_lpspacc1(A, B, C)), k6_lpspacc1(k12_lpspacc1(A), k13_lpspacc1(A, B, C)))) ) ) ) ) ) ).
fof(t19_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k14_lpspacc1(A, B, C))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k14_lpspacc1(A, B, C))) =>  ( (D=F & E=G)  => k2_valued_1(A, k2_numbers, k2_numbers, D, E)=k3_rlvect_1(k14_lpspacc1(A, B, C), F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_lpspacc1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, C, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k2_numbers))))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k14_lpspacc1(B, C, D))) =>  (E=F => k25_valued_1(B, k2_numbers, E, A)=k1_clvect_1(k14_lpspacc1(B, C, D), F, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (r1_lpspacc1(A, B, C, D, E) <=>  (? [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) &  (k12_supinf_2(C, F)=k5_numbers & r2_relset_1(A, k2_numbers, k2_partfun1(A, k2_numbers, D, k3_subset_1(A, F)), k2_partfun1(A, k2_numbers, E, k3_subset_1(A, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k14_lpspacc1(A, B, C))) =>  (D=E =>  (k3_rlvect_1(k14_lpspacc1(A, B, C), E, k1_clvect_1(k14_lpspacc1(A, B, C), E, k4_xcmplx_0(k6_complex1)))=k2_partfun1(A, k2_numbers, k8_funcop_1(k2_numbers, A, k5_complex1), k1_relset_1(A, D)) &  (? [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  &  (? [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  &  (r2_tarski(F, k13_lpspacc1(A, B, C)) &  (r2_tarski(G, k13_lpspacc1(A, B, C)) &  (F=k3_rlvect_1(k14_lpspacc1(A, B, C), E, k1_clvect_1(k14_lpspacc1(A, B, C), E, k4_xcmplx_0(k6_complex1))) &  (r2_relset_1(A, k2_numbers, G, k8_funcop_1(k2_numbers, A, k5_complex1)) & r1_lpspacc1(A, B, C, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  => r1_lpspacc1(A, B, C, D, D)) ) ) ) ) ) ) ) ).
fof(t23_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (r1_lpspacc1(A, B, C, D, E) => r1_lpspacc1(A, B, C, E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  ( (r1_lpspacc1(A, B, C, D, E) & r1_lpspacc1(A, B, C, E, F))  => r1_lpspacc1(A, B, C, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  ( (r1_lpspacc1(A, B, C, D, F) & r1_lpspacc1(A, B, C, E, G))  => r1_lpspacc1(A, B, C, k2_valued_1(A, k2_numbers, k2_numbers, D, E), k2_valued_1(A, k2_numbers, k2_numbers, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_lpspacc1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, C, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k2_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, k2_numbers))))  =>  (r1_lpspacc1(B, C, D, E, F) => r1_lpspacc1(B, C, D, k25_valued_1(B, k2_numbers, E, A), k25_valued_1(B, k2_numbers, F, A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_lpspacc1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (r2_relset_1(B, k2_numbers, k2_valued_1(B, k2_numbers, k2_numbers, k8_funcop_1(k2_numbers, B, k5_complex1), k8_funcop_1(k2_numbers, B, k5_complex1)), k8_funcop_1(k2_numbers, B, k5_complex1)) & r2_relset_1(B, k2_numbers, k25_valued_1(B, k2_numbers, k8_funcop_1(k2_numbers, B, k5_complex1), A), k8_funcop_1(k2_numbers, B, k5_complex1))) ) ) ) ) ).
fof(t28_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (k4_struct_0(k14_lpspacc1(A, B, C))=k8_funcop_1(k2_numbers, A, k5_complex1) & r2_tarski(k4_struct_0(k14_lpspacc1(A, B, C)), k15_lpspacc1(A, B, C))) ) ) ) ) ) ) ).
fof(d13_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  => k16_lpspacc1(A, B, C)=g1_clvect_1(k15_lpspacc1(A, B, C), k10_subset_1(k4_struct_0(k14_lpspacc1(A, B, C)), k15_lpspacc1(A, B, C)), k1_ideal_1(k14_lpspacc1(A, B, C), k15_lpspacc1(A, B, C)), k6_lpspacc1(k14_lpspacc1(A, B, C), k15_lpspacc1(A, B, C)))) ) ) ) ) ) ).
fof(t29_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k16_lpspacc1(A, B, C))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k16_lpspacc1(A, B, C))) =>  ( (D=F & E=G)  => k2_valued_1(A, k2_numbers, k2_numbers, D, E)=k1_algstr_0(k16_lpspacc1(A, B, C), F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  ( (r2_tarski(D, k13_lpspacc1(A, B, C)) & r2_tarski(E, k13_lpspacc1(A, B, C)))  =>  (r1_lpspacc1(A, B, C, E, D) <=> r2_tarski(E, k17_lpspacc1(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (r2_tarski(D, k13_lpspacc1(A, B, C)) => r2_tarski(D, k17_lpspacc1(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t32_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  ( (r2_tarski(D, k13_lpspacc1(A, B, C)) & r2_tarski(E, k13_lpspacc1(A, B, C)))  =>  (k17_lpspacc1(A, B, C, D)=k17_lpspacc1(A, B, C, E) <=> r1_lpspacc1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  ( (r2_tarski(D, k13_lpspacc1(A, B, C)) & r2_tarski(E, k13_lpspacc1(A, B, C)))  =>  (k17_lpspacc1(A, B, C, D)=k17_lpspacc1(A, B, C, E) <=> r2_tarski(E, k17_lpspacc1(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  ( (r2_tarski(D, k13_lpspacc1(A, B, C)) &  (r2_tarski(F, k13_lpspacc1(A, B, C)) &  (r2_tarski(E, k13_lpspacc1(A, B, C)) &  (r2_tarski(G, k13_lpspacc1(A, B, C)) &  (k17_lpspacc1(A, B, C, D)=k17_lpspacc1(A, B, C, F) & k17_lpspacc1(A, B, C, E)=k17_lpspacc1(A, B, C, G)) ) ) ) )  => k17_lpspacc1(A, B, C, k2_valued_1(A, k2_numbers, k2_numbers, D, E))=k17_lpspacc1(A, B, C, k2_valued_1(A, k2_numbers, k2_numbers, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_lpspacc1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, C, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k2_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, k2_numbers))))  =>  ( (r2_tarski(E, k13_lpspacc1(B, C, D)) &  (r2_tarski(F, k13_lpspacc1(B, C, D)) & k17_lpspacc1(B, C, D, E)=k17_lpspacc1(B, C, D, F)) )  => k17_lpspacc1(B, C, D, k25_valued_1(B, k2_numbers, E, A))=k17_lpspacc1(B, C, D, k25_valued_1(B, k2_numbers, F, A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k18_lpspacc1(A, B, C), k18_lpspacc1(A, B, C)), k18_lpspacc1(A, B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k18_lpspacc1(A, B, C), k18_lpspacc1(A, B, C)), k18_lpspacc1(A, B, C))))) )  =>  (D=k19_lpspacc1(A, B, C) <=>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(k13_lpspacc1(A, B, C)), k18_lpspacc1(A, B, C)) =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(k13_lpspacc1(A, B, C)), k18_lpspacc1(A, B, C)) =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [H] :  ( (v1_funct_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  ( (r2_tarski(G, E) & r2_tarski(H, F))  => k4_binop_1(k18_lpspacc1(A, B, C), D, E, F)=k17_lpspacc1(A, B, C, k2_valued_1(A, k2_numbers, k2_numbers, G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  => k20_lpspacc1(A, B, C)=k17_lpspacc1(A, B, C, k8_funcop_1(k2_numbers, A, k5_complex1))) ) ) ) ) ) ).
fof(d18_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k2_numbers, k18_lpspacc1(A, B, C)), k18_lpspacc1(A, B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, k18_lpspacc1(A, B, C)), k18_lpspacc1(A, B, C))))) )  =>  (D=k21_lpspacc1(A, B, C) <=>  (! [E] :  (v1_xcmplx_0(E) =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(k13_lpspacc1(A, B, C)), k18_lpspacc1(A, B, C)) =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (r2_tarski(G, F) => k1_binop_1(D, E, F)=k17_lpspacc1(A, B, C, k25_valued_1(A, k2_numbers, G, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v1_clvect_1(D) &  (v2_clvect_1(D) &  (v3_clvect_1(D) &  (v4_clvect_1(D) &  (v5_clvect_1(D) & l1_clvect_1(D)) ) ) ) ) ) ) ) ) )  =>  (D=k22_lpspacc1(A, B, C) <=>  (u1_struct_0(D)=k18_lpspacc1(A, B, C) &  (r1_funct_2(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(D)), u1_struct_0(D), k2_zfmisc_1(k18_lpspacc1(A, B, C), k18_lpspacc1(A, B, C)), k18_lpspacc1(A, B, C), u1_algstr_0(D), k19_lpspacc1(A, B, C)) &  (k4_struct_0(D)=k20_lpspacc1(A, B, C) & r1_funct_2(k2_zfmisc_1(k2_numbers, u1_struct_0(D)), u1_struct_0(D), k2_zfmisc_1(k2_numbers, k18_lpspacc1(A, B, C)), k18_lpspacc1(A, B, C), u1_clvect_1(D), k21_lpspacc1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  ( (r2_tarski(D, k13_lpspacc1(A, B, C)) &  (r2_tarski(E, k13_lpspacc1(A, B, C)) & r1_lpspacc1(A, B, C, D, E)) )  => k1_mesfun6c(A, B, C, D)=k1_mesfun6c(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (r2_mesfun6c(A, B, C, D) =>  (r2_hidden(k1_mesfun6c(A, B, C, D), k2_numbers) &  (r2_tarski(k1_mesfunc6(A, B, C, k55_valued_1(A, k2_numbers, D)), k1_numbers) & r3_mesfunc6(A, B, C, k55_valued_1(A, k2_numbers, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  ( (r2_tarski(D, k13_lpspacc1(A, B, C)) &  (r2_tarski(E, k13_lpspacc1(A, B, C)) & r1_lpspacc1(A, B, C, D, E)) )  =>  (r1_lpspace1(A, B, C, k55_valued_1(A, k2_numbers, D), k55_valued_1(A, k2_numbers, E)) & k1_mesfunc6(A, B, C, k55_valued_1(A, k2_numbers, D))=k1_mesfunc6(A, B, C, k55_valued_1(A, k2_numbers, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  ( (? [F] :  (m1_subset_1(F, u1_struct_0(k22_lpspacc1(A, B, C))) &  (r2_tarski(D, F) & r2_tarski(E, F)) ) )  =>  (r1_lpspacc1(A, B, C, D, E) &  (r2_tarski(D, k13_lpspacc1(A, B, C)) & r2_tarski(E, k13_lpspacc1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k22_lpspacc1(A, B, C)), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k22_lpspacc1(A, B, C)), k1_numbers)))) )  &  (! [E] :  (m1_subset_1(E, u1_struct_0(k22_lpspacc1(A, B, C))) =>  (? [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  &  (r2_tarski(F, E) & k12_supinf_2(D, E)=k1_mesfunc6(A, B, C, k56_valued_1(A, k2_numbers, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k22_lpspacc1(A, B, C))) =>  (r2_tarski(D, E) =>  (r2_mesfun6c(A, B, C, D) &  (r2_tarski(D, k13_lpspacc1(A, B, C)) & r3_mesfunc6(A, B, C, k56_valued_1(A, k2_numbers, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k22_lpspacc1(A, B, C))) =>  ( (r2_tarski(D, F) & r2_tarski(E, F))  =>  (r1_lpspacc1(A, B, C, D, E) &  (k1_mesfun6c(A, B, C, D)=k1_mesfun6c(A, B, C, E) & k1_mesfunc6(A, B, C, k56_valued_1(A, k2_numbers, D))=k1_mesfunc6(A, B, C, k56_valued_1(A, k2_numbers, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d20_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k22_lpspacc1(A, B, C)), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k22_lpspacc1(A, B, C)), k1_numbers)))) )  =>  (D=k23_lpspacc1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(k22_lpspacc1(A, B, C))) =>  (? [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  &  (r2_tarski(F, E) & k12_supinf_2(D, E)=k1_mesfunc6(A, B, C, k56_valued_1(A, k2_numbers, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d21_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  => k24_lpspacc1(A, B, C)=g2_clvect_1(u1_struct_0(k22_lpspacc1(A, B, C)), u2_struct_0(k22_lpspacc1(A, B, C)), u1_algstr_0(k22_lpspacc1(A, B, C)), u1_clvect_1(k22_lpspacc1(A, B, C)), k23_lpspacc1(A, B, C))) ) ) ) ) ) ).
fof(t43_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k24_lpspacc1(A, B, C))) =>  ( (? [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  &  (r2_tarski(E, k13_lpspacc1(A, B, C)) &  (D=k17_lpspacc1(A, B, C, E) & k2_normsp_0(k24_lpspacc1(A, B, C), D)=k1_mesfunc6(A, B, C, k56_valued_1(A, k2_numbers, E))) ) ) )  &  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (r2_tarski(E, D) => k1_mesfunc6(A, B, C, k56_valued_1(A, k2_numbers, E))=k2_normsp_0(k24_lpspacc1(A, B, C), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k24_lpspacc1(A, B, C))) =>  (r2_tarski(D, E) =>  (E=k17_lpspacc1(A, B, C, D) & k2_normsp_0(k24_lpspacc1(A, B, C), E)=k1_mesfunc6(A, B, C, k56_valued_1(A, k2_numbers, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_lpspacc1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, C, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k2_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, k2_numbers))))  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k24_lpspacc1(B, C, D))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k24_lpspacc1(B, C, D))) =>  ( ( (r2_tarski(E, G) & r2_tarski(F, H))  => r2_tarski(k2_valued_1(B, k2_numbers, k2_numbers, E, F), k1_algstr_0(k24_lpspacc1(B, C, D), G, H)))  &  (r2_tarski(E, G) => r2_tarski(k25_valued_1(B, k2_numbers, E, A), k1_clvect_1(k24_lpspacc1(B, C, D), G, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  ( (r2_tarski(D, k13_lpspacc1(A, B, C)) & k1_mesfunc6(A, B, C, k56_valued_1(A, k2_numbers, D))=k5_numbers)  => r1_lpspacc1(A, B, C, D, k8_funcop_1(k2_numbers, A, k5_complex1))) ) ) ) ) ) ) ) ) ).
fof(t47_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  ( (r2_tarski(D, k13_lpspacc1(A, B, C)) & r2_tarski(E, k13_lpspacc1(A, B, C)))  => r1_xxreal_0(k1_mesfunc6(A, B, C, k55_valued_1(A, k2_numbers, k2_valued_1(A, k2_numbers, k2_numbers, D, E))), k3_supinf_2(k1_mesfunc6(A, B, C, k55_valued_1(A, k2_numbers, D)), k1_mesfunc6(A, B, C, k55_valued_1(A, k2_numbers, E))))) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_lpspacc1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (v1_membered(B) &  (m1_subset_1(C, k3_rfunct_3(A, B)) & m1_subset_1(D, k3_rfunct_3(A, B))) ) )  => m2_rfunct_3(k1_lpspacc1(A, B, C, D), A, k2_numbers, k3_rfunct_3(A, k2_numbers))) ) ).
fof(commutativity_k1_lpspacc1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (v1_membered(B) &  (m1_subset_1(C, k3_rfunct_3(A, B)) & m1_subset_1(D, k3_rfunct_3(A, B))) ) )  => k1_lpspacc1(A, B, C, D)=k1_lpspacc1(A, B, D, C)) ) ).
fof(redefinition_k1_lpspacc1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (v1_membered(B) &  (m1_subset_1(C, k3_rfunct_3(A, B)) & m1_subset_1(D, k3_rfunct_3(A, B))) ) )  => k1_lpspacc1(A, B, C, D)=k1_valued_1(C, D)) ) ).
fof(dt_k2_lpspacc1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (v1_membered(B) &  (m1_subset_1(C, k3_rfunct_3(A, B)) & m1_subset_1(D, k3_rfunct_3(A, B))) ) )  => m2_rfunct_3(k2_lpspacc1(A, B, C, D), A, k2_numbers, k3_rfunct_3(A, k2_numbers))) ) ).
fof(redefinition_k2_lpspacc1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (v1_membered(B) &  (m1_subset_1(C, k3_rfunct_3(A, B)) & m1_subset_1(D, k3_rfunct_3(A, B))) ) )  => k2_lpspacc1(A, B, C, D)=k45_valued_1(C, D)) ) ).
fof(dt_k3_lpspacc1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (v1_membered(B) &  (m1_subset_1(C, k3_rfunct_3(A, B)) & m1_subset_1(D, k3_rfunct_3(A, B))) ) )  => m2_rfunct_3(k3_lpspacc1(A, B, C, D), A, k2_numbers, k3_rfunct_3(A, k2_numbers))) ) ).
fof(commutativity_k3_lpspacc1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (v1_membered(B) &  (m1_subset_1(C, k3_rfunct_3(A, B)) & m1_subset_1(D, k3_rfunct_3(A, B))) ) )  => k3_lpspacc1(A, B, C, D)=k3_lpspacc1(A, B, D, C)) ) ).
fof(redefinition_k3_lpspacc1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (v1_membered(B) &  (m1_subset_1(C, k3_rfunct_3(A, B)) & m1_subset_1(D, k3_rfunct_3(A, B))) ) )  => k3_lpspacc1(A, B, C, D)=k18_valued_1(C, D)) ) ).
fof(dt_k4_lpspacc1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (v1_membered(B) &  (m1_subset_1(C, k3_rfunct_3(A, B)) & m1_subset_1(D, k3_rfunct_3(A, B))) ) )  => m2_rfunct_3(k4_lpspacc1(A, B, C, D), A, k2_numbers, k3_rfunct_3(A, k2_numbers))) ) ).
fof(redefinition_k4_lpspacc1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (v1_membered(B) &  (m1_subset_1(C, k3_rfunct_3(A, B)) & m1_subset_1(D, k3_rfunct_3(A, B))) ) )  => k4_lpspacc1(A, B, C, D)=k50_valued_1(C, D)) ) ).
fof(dt_k5_lpspacc1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (v1_membered(B) &  (m1_subset_1(C, k3_rfunct_3(A, B)) & v1_xcmplx_0(D)) ) )  => m2_rfunct_3(k5_lpspacc1(A, B, C, D), A, k2_numbers, k3_rfunct_3(A, k2_numbers))) ) ).
fof(redefinition_k5_lpspacc1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (v1_membered(B) &  (m1_subset_1(C, k3_rfunct_3(A, B)) & v1_xcmplx_0(D)) ) )  => k5_lpspacc1(A, B, C, D)=k24_valued_1(C, D)) ) ).
fof(dt_k6_lpspacc1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_lpspacc1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v1_funct_1(k6_lpspacc1(A, B)) &  (v1_funct_2(k6_lpspacc1(A, B), k2_zfmisc_1(k2_numbers, B), B) & m1_subset_1(k6_lpspacc1(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, B), B)))) ) ) ) ).
fof(dt_k7_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k7_lpspacc1(A)) &  (v1_funct_2(k7_lpspacc1(A), k2_zfmisc_1(k3_rfunct_3(A, k2_numbers), k3_rfunct_3(A, k2_numbers)), k3_rfunct_3(A, k2_numbers)) & m1_subset_1(k7_lpspacc1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rfunct_3(A, k2_numbers), k3_rfunct_3(A, k2_numbers)), k3_rfunct_3(A, k2_numbers))))) ) ) ) ).
fof(dt_k8_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k8_lpspacc1(A)) &  (v1_funct_2(k8_lpspacc1(A), k2_zfmisc_1(k2_numbers, k3_rfunct_3(A, k2_numbers)), k3_rfunct_3(A, k2_numbers)) & m1_subset_1(k8_lpspacc1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, k3_rfunct_3(A, k2_numbers)), k3_rfunct_3(A, k2_numbers))))) ) ) ) ).
fof(dt_k9_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k9_lpspacc1(A)) &  (v1_funct_2(k9_lpspacc1(A), k2_zfmisc_1(k3_rfunct_3(A, k2_numbers), k3_rfunct_3(A, k2_numbers)), k3_rfunct_3(A, k2_numbers)) & m1_subset_1(k9_lpspacc1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rfunct_3(A, k2_numbers), k3_rfunct_3(A, k2_numbers)), k3_rfunct_3(A, k2_numbers))))) ) ) ) ).
fof(dt_k10_lpspacc1, axiom,  (! [A] : m2_rfunct_3(k10_lpspacc1(A), A, k2_numbers, k3_rfunct_3(A, k2_numbers))) ).
fof(dt_k11_lpspacc1, axiom,  (! [A] : m2_rfunct_3(k11_lpspacc1(A), A, k2_numbers, k3_rfunct_3(A, k2_numbers))) ).
fof(dt_k12_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k12_lpspacc1(A)))  & l1_clvect_1(k12_lpspacc1(A))) ) ) ).
fof(dt_k13_lpspacc1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k13_lpspacc1(A, B, C)))  & m1_subset_1(k13_lpspacc1(A, B, C), k1_zfmisc_1(u1_struct_0(k12_lpspacc1(A))))) ) ) ).
fof(dt_k14_lpspacc1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k14_lpspacc1(A, B, C)))  & l1_clvect_1(k14_lpspacc1(A, B, C))) ) ) ).
fof(dt_k15_lpspacc1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k15_lpspacc1(A, B, C)))  & m1_subset_1(k15_lpspacc1(A, B, C), k1_zfmisc_1(u1_struct_0(k14_lpspacc1(A, B, C))))) ) ) ).
fof(dt_k16_lpspacc1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k16_lpspacc1(A, B, C)))  & l1_clvect_1(k16_lpspacc1(A, B, C))) ) ) ).
fof(dt_k17_lpspacc1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) ) ) )  => m1_subset_1(k17_lpspacc1(A, B, C, D), k1_zfmisc_1(k13_lpspacc1(A, B, C)))) ) ).
fof(dt_k18_lpspacc1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k18_lpspacc1(A, B, C)))  & m1_subset_1(k18_lpspacc1(A, B, C), k1_zfmisc_1(k1_zfmisc_1(k13_lpspacc1(A, B, C))))) ) ) ).
fof(dt_k19_lpspacc1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) ) )  =>  (v1_funct_1(k19_lpspacc1(A, B, C)) &  (v1_funct_2(k19_lpspacc1(A, B, C), k2_zfmisc_1(k18_lpspacc1(A, B, C), k18_lpspacc1(A, B, C)), k18_lpspacc1(A, B, C)) & m1_subset_1(k19_lpspacc1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k18_lpspacc1(A, B, C), k18_lpspacc1(A, B, C)), k18_lpspacc1(A, B, C))))) ) ) ) ).
fof(dt_k20_lpspacc1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) ) )  => m2_subset_1(k20_lpspacc1(A, B, C), k1_zfmisc_1(k13_lpspacc1(A, B, C)), k18_lpspacc1(A, B, C))) ) ).
fof(dt_k21_lpspacc1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) ) )  =>  (v1_funct_1(k21_lpspacc1(A, B, C)) &  (v1_funct_2(k21_lpspacc1(A, B, C), k2_zfmisc_1(k2_numbers, k18_lpspacc1(A, B, C)), k18_lpspacc1(A, B, C)) & m1_subset_1(k21_lpspacc1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, k18_lpspacc1(A, B, C)), k18_lpspacc1(A, B, C))))) ) ) ) ).
fof(dt_k22_lpspacc1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k22_lpspacc1(A, B, C)))  &  (v13_algstr_0(k22_lpspacc1(A, B, C)) &  (v2_rlvect_1(k22_lpspacc1(A, B, C)) &  (v3_rlvect_1(k22_lpspacc1(A, B, C)) &  (v4_rlvect_1(k22_lpspacc1(A, B, C)) &  (v1_clvect_1(k22_lpspacc1(A, B, C)) &  (v2_clvect_1(k22_lpspacc1(A, B, C)) &  (v3_clvect_1(k22_lpspacc1(A, B, C)) &  (v4_clvect_1(k22_lpspacc1(A, B, C)) &  (v5_clvect_1(k22_lpspacc1(A, B, C)) & l1_clvect_1(k22_lpspacc1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k23_lpspacc1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) ) )  =>  (v1_funct_1(k23_lpspacc1(A, B, C)) &  (v1_funct_2(k23_lpspacc1(A, B, C), u1_struct_0(k22_lpspacc1(A, B, C)), k1_numbers) & m1_subset_1(k23_lpspacc1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k22_lpspacc1(A, B, C)), k1_numbers)))) ) ) ) ).
fof(dt_k24_lpspacc1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k24_lpspacc1(A, B, C)))  & l2_clvect_1(k24_lpspacc1(A, B, C))) ) ) ).
fof(d9_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  => k13_lpspacc1(A, B, C)=a_3_0_lpspacc1(A, B, C)) ) ) ) ) ) ).
fof(d12_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  => k15_lpspacc1(A, B, C)=a_3_1_lpspacc1(A, B, C)) ) ) ) ) ) ).
fof(d14_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  => k17_lpspacc1(A, B, C, D)=a_4_0_lpspacc1(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(d15_lpspacc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  => k18_lpspacc1(A, B, C)=a_3_2_lpspacc1(A, B, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_lpspacc1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, C, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) ) ) )  =>  (r2_hidden(A, a_3_0_lpspacc1(B, C, D)) <=>  (? [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k2_numbers))))  &  (A=E &  (? [F] :  (m2_subset_1(F, k1_zfmisc_1(B), C) &  (k12_supinf_2(D, F)=k5_numbers &  (k1_relset_1(B, E)=k3_subset_1(B, F) & r2_mesfun6c(B, C, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_lpspacc1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, C, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) ) ) )  =>  (r2_hidden(A, a_3_1_lpspacc1(B, C, D)) <=>  (? [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k2_numbers))))  &  (A=E &  (r2_tarski(E, k13_lpspacc1(B, C, D)) & r1_lpspacc1(B, C, D, E, k8_funcop_1(k2_numbers, B, k5_complex1))) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_lpspacc1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, C, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  &  (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k2_numbers)))) ) ) )  =>  (r2_hidden(A, a_4_0_lpspacc1(B, C, D, E)) <=>  (? [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, k2_numbers))))  &  (A=F &  (r2_tarski(F, k13_lpspacc1(B, C, D)) &  (r2_tarski(E, k13_lpspacc1(B, C, D)) & r1_lpspacc1(B, C, D, E, F)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_2_lpspacc1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, C, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) ) ) )  =>  (r2_hidden(A, a_3_2_lpspacc1(B, C, D)) <=>  (? [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k2_numbers))))  &  (A=k17_lpspacc1(B, C, D, E) & r2_tarski(E, k13_lpspacc1(B, C, D))) ) ) ) ) ) ).
fof(rc1_lpspace1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) & v1_lpspace1(B, A)) ) ) ) ) ) ).
fof(fc1_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k7_lpspace1(A)))  &  (v1_rlvect_1(k7_lpspace1(A)) &  (v2_rlvect_1(k7_lpspace1(A)) &  (v3_rlvect_1(k7_lpspace1(A)) &  (v4_rlvect_1(k7_lpspace1(A)) &  (v5_rlvect_1(k7_lpspace1(A)) &  (v6_rlvect_1(k7_lpspace1(A)) &  (v7_rlvect_1(k7_lpspace1(A)) & v8_rlvect_1(k7_lpspace1(A))) ) ) ) ) ) ) ) ) ) ).
fof(fc2_lpspace1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k9_lpspace1(A, B, C)))  &  (v1_ideal_1(k9_lpspace1(A, B, C), k7_lpspace1(A)) & v1_lpspace1(k9_lpspace1(A, B, C), k7_lpspace1(A))) ) ) ) ).
fof(fc3_lpspace1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k10_lpspace1(A, B, C)))  &  (v1_rlvect_1(k10_lpspace1(A, B, C)) &  (v2_rlvect_1(k10_lpspace1(A, B, C)) &  (v3_rlvect_1(k10_lpspace1(A, B, C)) &  (v4_rlvect_1(k10_lpspace1(A, B, C)) &  (v5_rlvect_1(k10_lpspace1(A, B, C)) &  (v6_rlvect_1(k10_lpspace1(A, B, C)) &  (v7_rlvect_1(k10_lpspace1(A, B, C)) & v8_rlvect_1(k10_lpspace1(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(fc4_lpspace1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k11_lpspace1(A, B, C)))  &  (v1_ideal_1(k11_lpspace1(A, B, C), k10_lpspace1(A, B, C)) & v1_lpspace1(k11_lpspace1(A, B, C), k10_lpspace1(A, B, C))) ) ) ) ).
fof(fc5_lpspace1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k10_lpspace1(A, B, C)))  &  (v1_rlvect_1(k10_lpspace1(A, B, C)) &  (v2_rlvect_1(k10_lpspace1(A, B, C)) &  (v3_rlvect_1(k10_lpspace1(A, B, C)) &  (v4_rlvect_1(k10_lpspace1(A, B, C)) &  (v5_rlvect_1(k10_lpspace1(A, B, C)) &  (v6_rlvect_1(k10_lpspace1(A, B, C)) &  (v7_rlvect_1(k10_lpspace1(A, B, C)) & v8_rlvect_1(k10_lpspace1(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(fc6_lpspace1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k20_lpspace1(A, B, C)))  &  (v13_algstr_0(k20_lpspace1(A, B, C)) &  (v2_rlvect_1(k20_lpspace1(A, B, C)) &  (v3_rlvect_1(k20_lpspace1(A, B, C)) &  (v4_rlvect_1(k20_lpspace1(A, B, C)) &  (v5_rlvect_1(k20_lpspace1(A, B, C)) &  (v6_rlvect_1(k20_lpspace1(A, B, C)) &  (v7_rlvect_1(k20_lpspace1(A, B, C)) &  (v8_rlvect_1(k20_lpspace1(A, B, C)) & v2_normsp_1(k20_lpspace1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_lpspace1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_lpspace1(B, A) <=>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, B) => r2_tarski(k1_rlvect_1(A, D, C), B)) ) ) ) ) ) ) ) ) ) ).
fof(t1_lpspace1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_rlsub_1(B, A) <=>  (v1_ideal_1(B, A) & v1_lpspace1(B, A)) ) ) ) ) ) ).
fof(d2_lpspace1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_lpspace1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => k1_lpspace1(A, B)=k2_partfun1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)), u1_struct_0(A), u1_rlvect_1(A), k2_zfmisc_1(k1_numbers, B))) ) ) ) ).
fof(t2_lpspace1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(B, B), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(k1_numbers, B), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, B), B)))) )  =>  ( (C=k4_struct_0(A) &  (D=k1_realset1(u1_algstr_0(A), B) & E=k2_partfun1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)), u1_struct_0(A), u1_rlvect_1(A), k2_zfmisc_1(k1_numbers, B))) )  =>  (v2_rlvect_1(g1_rlvect_1(B, C, D, E)) &  (v3_rlvect_1(g1_rlvect_1(B, C, D, E)) &  (v4_rlvect_1(g1_rlvect_1(B, C, D, E)) &  (v5_rlvect_1(g1_rlvect_1(B, C, D, E)) &  (v6_rlvect_1(g1_rlvect_1(B, C, D, E)) &  (v7_rlvect_1(g1_rlvect_1(B, C, D, E)) & v8_rlvect_1(g1_rlvect_1(B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_lpspace1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v1_lpspace1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (r2_tarski(k4_struct_0(A), B) =>  (v2_rlvect_1(g1_rlvect_1(B, k10_subset_1(k4_struct_0(A), B), k1_ideal_1(A, B), k1_lpspace1(A, B))) &  (v3_rlvect_1(g1_rlvect_1(B, k10_subset_1(k4_struct_0(A), B), k1_ideal_1(A, B), k1_lpspace1(A, B))) &  (v4_rlvect_1(g1_rlvect_1(B, k10_subset_1(k4_struct_0(A), B), k1_ideal_1(A, B), k1_lpspace1(A, B))) &  (v5_rlvect_1(g1_rlvect_1(B, k10_subset_1(k4_struct_0(A), B), k1_ideal_1(A, B), k1_lpspace1(A, B))) &  (v6_rlvect_1(g1_rlvect_1(B, k10_subset_1(k4_struct_0(A), B), k1_ideal_1(A, B), k1_lpspace1(A, B))) &  (v7_rlvect_1(g1_rlvect_1(B, k10_subset_1(k4_struct_0(A), B), k1_ideal_1(A, B), k1_lpspace1(A, B))) & v8_rlvect_1(g1_rlvect_1(B, k10_subset_1(k4_struct_0(A), B), k1_ideal_1(A, B), k1_lpspace1(A, B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_lpspace1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v1_lpspace1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(g1_rlvect_1(B, k10_subset_1(k4_struct_0(A), B), k1_ideal_1(A, B), k1_lpspace1(A, B)))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(g1_rlvect_1(B, k10_subset_1(k4_struct_0(A), B), k1_ideal_1(A, B), k1_lpspace1(A, B)))) =>  ( (E=C & F=D)  => k1_algstr_0(g1_rlvect_1(B, k10_subset_1(k4_struct_0(A), B), k1_ideal_1(A, B), k1_lpspace1(A, B)), E, F)=k1_algstr_0(A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_lpspace1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v1_lpspace1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(g1_rlvect_1(B, k10_subset_1(k4_struct_0(A), B), k1_ideal_1(A, B), k1_lpspace1(A, B)))) =>  (E=D => k1_rlvect_1(g1_rlvect_1(B, k10_subset_1(k4_struct_0(A), B), k1_ideal_1(A, B), k1_lpspace1(A, B)), E, C)=k1_rlvect_1(A, D, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k3_rfunct_3(A, k1_numbers), k3_rfunct_3(A, k1_numbers)), k3_rfunct_3(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rfunct_3(A, k1_numbers), k3_rfunct_3(A, k1_numbers)), k3_rfunct_3(A, k1_numbers))))) )  =>  (B=k3_lpspace1(A) <=>  (! [C] :  (m2_rfunct_3(C, A, k1_numbers, k3_rfunct_3(A, k1_numbers)) =>  (! [D] :  (m2_rfunct_3(D, A, k1_numbers, k3_rfunct_3(A, k1_numbers)) => r2_relset_1(A, k1_numbers, k2_lpspace1(A, k1_numbers, B, C, D), k7_rfunct_3(A, k1_numbers, C, D))) ) ) ) ) ) ) ) ) ).
fof(d4_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k1_numbers, k3_rfunct_3(A, k1_numbers)), k3_rfunct_3(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k3_rfunct_3(A, k1_numbers)), k3_rfunct_3(A, k1_numbers))))) )  =>  (B=k4_lpspace1(A) <=>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_rfunct_3(D, A, k1_numbers, k3_rfunct_3(A, k1_numbers)) => k1_binop_1(B, C, D)=k12_rfunct_3(A, k1_numbers, D, C)) ) ) ) ) ) ) ) ) ).
fof(d5_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k5_lpspace1(A)=k8_funcop_1(k4_ordinal1, A, k5_numbers)) ) ).
fof(d6_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k6_lpspace1(A)=k8_funcop_1(k4_ordinal1, A, 1)) ) ).
fof(t6_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_rfunct_3(B, A, k1_numbers, k3_rfunct_3(A, k1_numbers)) =>  (! [C] :  (m2_rfunct_3(C, A, k1_numbers, k3_rfunct_3(A, k1_numbers)) =>  (! [D] :  (m2_rfunct_3(D, A, k1_numbers, k3_rfunct_3(A, k1_numbers)) =>  (r2_relset_1(A, k1_numbers, D, k2_lpspace1(A, k1_numbers, k13_rfunct_3(A), B, C)) <=>  (k1_relset_1(A, D)=k9_subset_1(A, k1_relset_1(A, B), k1_relset_1(A, C)) &  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, k1_relset_1(A, D)) => k1_funct_1(D, E)=k2_xcmplx_0(k1_funct_1(B, E), k1_funct_1(C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_rfunct_3(B, A, k1_numbers, k3_rfunct_3(A, k1_numbers)) =>  (! [C] :  (m2_rfunct_3(C, A, k1_numbers, k3_rfunct_3(A, k1_numbers)) =>  (! [D] :  (m2_rfunct_3(D, A, k1_numbers, k3_rfunct_3(A, k1_numbers)) =>  (r2_relset_1(A, k1_numbers, D, k2_lpspace1(A, k1_numbers, k3_lpspace1(A), B, C)) <=>  (k1_relset_1(A, D)=k9_subset_1(A, k1_relset_1(A, B), k1_relset_1(A, C)) &  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, k1_relset_1(A, D)) => k1_funct_1(D, E)=k3_xcmplx_0(k1_funct_1(B, E), k1_funct_1(C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (k5_lpspace1(A)=k6_lpspace1(A)) ) ) ).
fof(t9_lpspace1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_rfunct_3(C, B, k1_numbers, k3_rfunct_3(B, k1_numbers)) =>  (! [D] :  (m2_rfunct_3(D, B, k1_numbers, k3_rfunct_3(B, k1_numbers)) =>  (D=k1_binop_1(k4_lpspace1(B), A, C) <=>  (k1_relset_1(B, D)=k1_relset_1(B, C) &  (! [E] :  (m1_subset_1(E, B) =>  (r2_tarski(E, k1_relset_1(B, C)) => k1_funct_1(D, E)=k3_xcmplx_0(A, k1_funct_1(C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_rfunct_3(B, A, k1_numbers, k3_rfunct_3(A, k1_numbers)) =>  (! [C] :  (m2_rfunct_3(C, A, k1_numbers, k3_rfunct_3(A, k1_numbers)) => r2_relset_1(A, k1_numbers, k2_lpspace1(A, k1_numbers, k13_rfunct_3(A), B, C), k2_lpspace1(A, k1_numbers, k13_rfunct_3(A), C, B))) ) ) ) ) ) ).
fof(t11_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_rfunct_3(B, A, k1_numbers, k3_rfunct_3(A, k1_numbers)) =>  (! [C] :  (m2_rfunct_3(C, A, k1_numbers, k3_rfunct_3(A, k1_numbers)) =>  (! [D] :  (m2_rfunct_3(D, A, k1_numbers, k3_rfunct_3(A, k1_numbers)) => r2_relset_1(A, k1_numbers, k2_lpspace1(A, k1_numbers, k13_rfunct_3(A), B, k2_lpspace1(A, k1_numbers, k13_rfunct_3(A), C, D)), k2_lpspace1(A, k1_numbers, k13_rfunct_3(A), k2_lpspace1(A, k1_numbers, k13_rfunct_3(A), B, C), D))) ) ) ) ) ) ) ) ).
fof(t12_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_rfunct_3(B, A, k1_numbers, k3_rfunct_3(A, k1_numbers)) =>  (! [C] :  (m2_rfunct_3(C, A, k1_numbers, k3_rfunct_3(A, k1_numbers)) => r2_relset_1(A, k1_numbers, k2_lpspace1(A, k1_numbers, k3_lpspace1(A), B, C), k2_lpspace1(A, k1_numbers, k3_lpspace1(A), C, B))) ) ) ) ) ) ).
fof(t13_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_rfunct_3(B, A, k1_numbers, k3_rfunct_3(A, k1_numbers)) =>  (! [C] :  (m2_rfunct_3(C, A, k1_numbers, k3_rfunct_3(A, k1_numbers)) =>  (! [D] :  (m2_rfunct_3(D, A, k1_numbers, k3_rfunct_3(A, k1_numbers)) => r2_relset_1(A, k1_numbers, k2_lpspace1(A, k1_numbers, k3_lpspace1(A), B, k2_lpspace1(A, k1_numbers, k3_lpspace1(A), C, D)), k2_lpspace1(A, k1_numbers, k3_lpspace1(A), k2_lpspace1(A, k1_numbers, k3_lpspace1(A), B, C), D))) ) ) ) ) ) ) ) ).
fof(t14_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_rfunct_3(B, A, k1_numbers, k3_rfunct_3(A, k1_numbers)) => r2_relset_1(A, k1_numbers, k2_lpspace1(A, k1_numbers, k3_lpspace1(A), k6_lpspace1(A), B), B)) ) ) ) ).
fof(t15_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_rfunct_3(B, A, k1_numbers, k3_rfunct_3(A, k1_numbers)) => r2_relset_1(A, k1_numbers, k2_lpspace1(A, k1_numbers, k13_rfunct_3(A), k5_lpspace1(A), B), B)) ) ) ) ).
fof(t16_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_rfunct_3(B, A, k1_numbers, k3_rfunct_3(A, k1_numbers)) => k1_binop_1(k13_rfunct_3(A), B, k1_binop_1(k4_lpspace1(A), k4_xcmplx_0(1), B))=k2_partfun1(A, k1_numbers, k5_lpspace1(A), k1_relset_1(A, B))) ) ) ) ).
fof(t17_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_rfunct_3(B, A, k1_numbers, k3_rfunct_3(A, k1_numbers)) => k1_binop_1(k4_lpspace1(A), 1, B)=B) ) ) ) ).
fof(t18_lpspace1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m2_rfunct_3(D, C, k1_numbers, k3_rfunct_3(C, k1_numbers)) => k1_binop_1(k4_lpspace1(C), A, k1_binop_1(k4_lpspace1(C), B, D))=k1_binop_1(k4_lpspace1(C), k3_xcmplx_0(A, B), D)) ) ) ) ) ) ) ) ).
fof(t19_lpspace1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m2_rfunct_3(D, C, k1_numbers, k3_rfunct_3(C, k1_numbers)) => k1_binop_1(k13_rfunct_3(C), k1_binop_1(k4_lpspace1(C), A, D), k1_binop_1(k4_lpspace1(C), B, D))=k1_binop_1(k4_lpspace1(C), k2_xcmplx_0(A, B), D)) ) ) ) ) ) ) ) ).
fof(t20_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_rfunct_3(B, A, k1_numbers, k3_rfunct_3(A, k1_numbers)) =>  (! [C] :  (m2_rfunct_3(C, A, k1_numbers, k3_rfunct_3(A, k1_numbers)) =>  (! [D] :  (m2_rfunct_3(D, A, k1_numbers, k3_rfunct_3(A, k1_numbers)) => r2_relset_1(A, k1_numbers, k2_lpspace1(A, k1_numbers, k3_lpspace1(A), B, k2_lpspace1(A, k1_numbers, k13_rfunct_3(A), C, D)), k2_lpspace1(A, k1_numbers, k13_rfunct_3(A), k2_lpspace1(A, k1_numbers, k3_lpspace1(A), B, C), k2_lpspace1(A, k1_numbers, k3_lpspace1(A), B, D)))) ) ) ) ) ) ) ) ).
fof(t21_lpspace1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_rfunct_3(C, B, k1_numbers, k3_rfunct_3(B, k1_numbers)) =>  (! [D] :  (m2_rfunct_3(D, B, k1_numbers, k3_rfunct_3(B, k1_numbers)) => k1_binop_1(k3_lpspace1(B), k1_binop_1(k4_lpspace1(B), A, C), D)=k1_binop_1(k4_lpspace1(B), A, k2_lpspace1(B, k1_numbers, k3_lpspace1(B), C, D))) ) ) ) ) ) ) ) ).
fof(d7_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k7_lpspace1(A)=g1_rlvect_1(k3_rfunct_3(A, k1_numbers), k5_lpspace1(A), k13_rfunct_3(A), k4_lpspace1(A))) ) ).
fof(t22_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, k1_relset_1(A, D)) => k5_numbers=k1_funct_1(D, E)) ) )  =>  ( (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  ~ (E=k1_relset_1(A, D)) ) )  |  (r1_mesfunc5(A, B, C, D) & k7_mesfunc5(A, B, C, D)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (r2_tarski(D, k9_lpspace1(A, B, C)) & r2_tarski(E, k9_lpspace1(A, B, C)))  => r2_tarski(k3_valued_1(A, k1_numbers, k1_numbers, D, E), k9_lpspace1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_lpspace1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, C, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (r2_tarski(E, k9_lpspace1(B, C, D)) => r2_tarski(k26_valued_1(B, k1_numbers, E, A), k9_lpspace1(B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  => k10_lpspace1(A, B, C)=g1_rlvect_1(k9_lpspace1(A, B, C), k10_subset_1(k4_struct_0(k7_lpspace1(A)), k9_lpspace1(A, B, C)), k1_ideal_1(k7_lpspace1(A), k9_lpspace1(A, B, C)), k1_lpspace1(k7_lpspace1(A), k9_lpspace1(A, B, C)))) ) ) ) ) ) ).
fof(t25_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k10_lpspace1(A, B, C))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k10_lpspace1(A, B, C))) =>  ( (D=F & E=G)  => k3_valued_1(A, k1_numbers, k1_numbers, D, E)=k3_rlvect_1(k10_lpspace1(A, B, C), F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_lpspace1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, C, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k10_lpspace1(B, C, D))) =>  (E=F => k26_valued_1(B, k1_numbers, E, A)=k1_rlvect_1(k10_lpspace1(B, C, D), F, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (r1_lpspace1(A, B, C, D, E) <=>  (? [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) &  (k3_funct_2(B, k6_numbers, C, F)=k5_numbers & r2_relset_1(A, k1_numbers, k2_partfun1(A, k1_numbers, D, k3_subset_1(A, F)), k2_partfun1(A, k1_numbers, E, k3_subset_1(A, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k10_lpspace1(A, B, C))) =>  (D=E =>  (k3_rlvect_1(k10_lpspace1(A, B, C), E, k1_rlvect_1(k10_lpspace1(A, B, C), E, k4_xcmplx_0(1)))=k2_partfun1(A, k1_numbers, k8_lpspace1(A, k5_numbers), k1_relset_1(A, D)) &  (? [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  &  (? [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  &  (r2_tarski(F, k9_lpspace1(A, B, C)) &  (r2_tarski(G, k9_lpspace1(A, B, C)) &  (F=k3_rlvect_1(k10_lpspace1(A, B, C), E, k1_rlvect_1(k10_lpspace1(A, B, C), E, k4_xcmplx_0(1))) &  (r2_relset_1(A, k1_numbers, G, k8_lpspace1(A, k5_numbers)) & r1_lpspace1(A, B, C, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  => r1_lpspace1(A, B, C, D, D)) ) ) ) ) ) ) ) ).
fof(t29_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (r1_lpspace1(A, B, C, D, E) => r1_lpspace1(A, B, C, E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (r1_lpspace1(A, B, C, D, E) & r1_lpspace1(A, B, C, E, F))  => r1_lpspace1(A, B, C, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (r1_lpspace1(A, B, C, D, F) & r1_lpspace1(A, B, C, E, G))  => r1_lpspace1(A, B, C, k3_valued_1(A, k1_numbers, k1_numbers, D, E), k3_valued_1(A, k1_numbers, k1_numbers, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_lpspace1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, C, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (r1_lpspace1(B, C, D, E, F) => r1_lpspace1(B, C, D, k26_valued_1(B, k1_numbers, E, A), k26_valued_1(B, k1_numbers, F, A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_lpspace1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (r2_relset_1(B, k1_numbers, k3_valued_1(B, k1_numbers, k1_numbers, k8_lpspace1(B, k5_numbers), k8_lpspace1(B, k5_numbers)), k8_lpspace1(B, k5_numbers)) & r2_relset_1(B, k1_numbers, k26_valued_1(B, k1_numbers, k8_lpspace1(B, k5_numbers), A), k8_lpspace1(B, k5_numbers))) ) ) ) ) ).
fof(t34_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (k4_struct_0(k10_lpspace1(A, B, C))=k8_lpspace1(A, k5_numbers) & r2_tarski(k4_struct_0(k10_lpspace1(A, B, C)), k11_lpspace1(A, B, C))) ) ) ) ) ) ) ).
fof(d12_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  => k12_lpspace1(A, B, C)=g1_rlvect_1(k11_lpspace1(A, B, C), k10_subset_1(k4_struct_0(k10_lpspace1(A, B, C)), k11_lpspace1(A, B, C)), k1_ideal_1(k10_lpspace1(A, B, C), k11_lpspace1(A, B, C)), k1_lpspace1(k10_lpspace1(A, B, C), k11_lpspace1(A, B, C)))) ) ) ) ) ) ).
fof(t35_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k12_lpspace1(A, B, C))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k12_lpspace1(A, B, C))) =>  ( (D=F & E=G)  => k3_valued_1(A, k1_numbers, k1_numbers, D, E)=k1_algstr_0(k12_lpspace1(A, B, C), F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_lpspace1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, C, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k12_lpspace1(B, C, D))) =>  (E=F => k26_valued_1(B, k1_numbers, E, A)=k1_rlvect_1(k12_lpspace1(B, C, D), F, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (r2_tarski(D, k9_lpspace1(A, B, C)) & r2_tarski(E, k9_lpspace1(A, B, C)))  =>  (r1_lpspace1(A, B, C, E, D) <=> r2_tarski(E, k13_lpspace1(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (r2_tarski(D, k9_lpspace1(A, B, C)) => r2_tarski(D, k13_lpspace1(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t39_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (r2_tarski(D, k9_lpspace1(A, B, C)) & r2_tarski(E, k9_lpspace1(A, B, C)))  =>  (k13_lpspace1(A, B, C, D)=k13_lpspace1(A, B, C, E) <=> r1_lpspace1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (r2_tarski(D, k9_lpspace1(A, B, C)) & r2_tarski(E, k9_lpspace1(A, B, C)))  =>  (k13_lpspace1(A, B, C, D)=k13_lpspace1(A, B, C, E) <=> r2_tarski(E, k13_lpspace1(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (r2_tarski(D, k9_lpspace1(A, B, C)) &  (r2_tarski(F, k9_lpspace1(A, B, C)) &  (r2_tarski(E, k9_lpspace1(A, B, C)) &  (r2_tarski(G, k9_lpspace1(A, B, C)) &  (k13_lpspace1(A, B, C, D)=k13_lpspace1(A, B, C, F) & k13_lpspace1(A, B, C, E)=k13_lpspace1(A, B, C, G)) ) ) ) )  => k13_lpspace1(A, B, C, k3_valued_1(A, k1_numbers, k1_numbers, D, E))=k13_lpspace1(A, B, C, k3_valued_1(A, k1_numbers, k1_numbers, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_lpspace1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, C, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  ( (r2_tarski(E, k9_lpspace1(B, C, D)) &  (r2_tarski(F, k9_lpspace1(B, C, D)) & k13_lpspace1(B, C, D, E)=k13_lpspace1(B, C, D, F)) )  => k13_lpspace1(B, C, D, k26_valued_1(B, k1_numbers, E, A))=k13_lpspace1(B, C, D, k26_valued_1(B, k1_numbers, F, A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k14_lpspace1(A, B, C), k14_lpspace1(A, B, C)), k14_lpspace1(A, B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k14_lpspace1(A, B, C), k14_lpspace1(A, B, C)), k14_lpspace1(A, B, C))))) )  =>  (D=k15_lpspace1(A, B, C) <=>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(k9_lpspace1(A, B, C)), k14_lpspace1(A, B, C)) =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(k9_lpspace1(A, B, C)), k14_lpspace1(A, B, C)) =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [H] :  ( (v1_funct_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (r2_tarski(G, E) & r2_tarski(H, F))  => k4_binop_1(k14_lpspace1(A, B, C), D, E, F)=k13_lpspace1(A, B, C, k3_valued_1(A, k1_numbers, k1_numbers, G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k9_lpspace1(A, B, C)), k14_lpspace1(A, B, C)) =>  (D=k16_lpspace1(A, B, C) <=>  (? [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  &  (r2_relset_1(A, k1_numbers, E, k8_lpspace1(A, k5_numbers)) &  (r2_tarski(E, k9_lpspace1(A, B, C)) & D=k13_lpspace1(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k1_numbers, k14_lpspace1(A, B, C)), k14_lpspace1(A, B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k14_lpspace1(A, B, C)), k14_lpspace1(A, B, C))))) )  =>  (D=k17_lpspace1(A, B, C) <=>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(k9_lpspace1(A, B, C)), k14_lpspace1(A, B, C)) =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (r2_tarski(G, F) => k1_binop_1(D, E, F)=k13_lpspace1(A, B, C, k26_valued_1(A, k1_numbers, G, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v1_rlvect_1(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v5_rlvect_1(D) &  (v6_rlvect_1(D) &  (v7_rlvect_1(D) &  (v8_rlvect_1(D) & l1_rlvect_1(D)) ) ) ) ) ) ) ) ) )  =>  (D=k18_lpspace1(A, B, C) <=>  (u1_struct_0(D)=k14_lpspace1(A, B, C) &  (r1_funct_2(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(D)), u1_struct_0(D), k2_zfmisc_1(k14_lpspace1(A, B, C), k14_lpspace1(A, B, C)), k14_lpspace1(A, B, C), u1_algstr_0(D), k15_lpspace1(A, B, C)) &  (k4_struct_0(D)=k16_lpspace1(A, B, C) & r1_funct_2(k2_zfmisc_1(k1_numbers, u1_struct_0(D)), u1_struct_0(D), k2_zfmisc_1(k1_numbers, k14_lpspace1(A, B, C)), k14_lpspace1(A, B, C), u1_rlvect_1(D), k17_lpspace1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (r2_tarski(D, k9_lpspace1(A, B, C)) &  (r2_tarski(E, k9_lpspace1(A, B, C)) & r1_lpspace1(A, B, C, D, E)) )  => k1_mesfunc6(A, B, C, D)=k1_mesfunc6(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (r3_mesfunc6(A, B, C, D) =>  (r2_tarski(k1_mesfunc6(A, B, C, D), k1_numbers) &  (r2_tarski(k1_mesfunc6(A, B, C, k56_valued_1(A, k1_numbers, D)), k1_numbers) & r3_mesfunc6(A, B, C, k56_valued_1(A, k1_numbers, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (r2_tarski(D, k9_lpspace1(A, B, C)) &  (r2_tarski(E, k9_lpspace1(A, B, C)) & r1_lpspace1(A, B, C, D, E)) )  =>  (r1_lpspace1(A, B, C, k56_valued_1(A, k1_numbers, D), k56_valued_1(A, k1_numbers, E)) & k1_mesfunc6(A, B, C, k56_valued_1(A, k1_numbers, D))=k1_mesfunc6(A, B, C, k56_valued_1(A, k1_numbers, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (? [F] :  (m1_subset_1(F, u1_struct_0(k18_lpspace1(A, B, C))) &  (r2_tarski(D, F) & r2_tarski(E, F)) ) )  =>  (r1_lpspace1(A, B, C, D, E) &  (r2_tarski(D, k9_lpspace1(A, B, C)) & r2_tarski(E, k9_lpspace1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k18_lpspace1(A, B, C))) =>  (r2_tarski(D, E) =>  (r3_mesfunc6(A, B, C, D) &  (r2_tarski(D, k9_lpspace1(A, B, C)) & r3_mesfunc6(A, B, C, k56_valued_1(A, k1_numbers, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k18_lpspace1(A, B, C))) =>  ( (r2_tarski(D, F) & r2_tarski(E, F))  =>  (r1_lpspace1(A, B, C, D, E) &  (k1_mesfunc6(A, B, C, D)=k1_mesfunc6(A, B, C, E) & k1_mesfunc6(A, B, C, k56_valued_1(A, k1_numbers, D))=k1_mesfunc6(A, B, C, k56_valued_1(A, k1_numbers, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k18_lpspace1(A, B, C)), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k18_lpspace1(A, B, C)), k1_numbers)))) )  =>  (D=k19_lpspace1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(k18_lpspace1(A, B, C))) =>  (? [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  &  (r2_tarski(F, E) & k3_funct_2(u1_struct_0(k18_lpspace1(A, B, C)), k1_numbers, D, E)=k1_mesfunc6(A, B, C, k56_valued_1(A, k1_numbers, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d20_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  => k20_lpspace1(A, B, C)=g1_normsp_1(u1_struct_0(k18_lpspace1(A, B, C)), u2_struct_0(k18_lpspace1(A, B, C)), u1_algstr_0(k18_lpspace1(A, B, C)), u1_rlvect_1(k18_lpspace1(A, B, C)), k19_lpspace1(A, B, C))) ) ) ) ) ) ).
fof(t49_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k20_lpspace1(A, B, C))) =>  ( (? [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  &  (r2_tarski(E, k9_lpspace1(A, B, C)) &  (D=k13_lpspace1(A, B, C, E) & k2_normsp_0(k20_lpspace1(A, B, C), D)=k1_mesfunc6(A, B, C, k56_valued_1(A, k1_numbers, E))) ) ) )  &  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (r2_tarski(E, D) => k1_mesfunc6(A, B, C, k56_valued_1(A, k1_numbers, E))=k2_normsp_0(k20_lpspace1(A, B, C), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k20_lpspace1(A, B, C))) =>  (r2_tarski(D, E) =>  (E=k13_lpspace1(A, B, C, D) & k2_normsp_0(k20_lpspace1(A, B, C), E)=k1_mesfunc6(A, B, C, k56_valued_1(A, k1_numbers, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_lpspace1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, C, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k20_lpspace1(B, C, D))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k20_lpspace1(B, C, D))) =>  ( ( (r2_tarski(E, G) & r2_tarski(F, H))  => r2_tarski(k3_valued_1(B, k1_numbers, k1_numbers, E, F), k1_algstr_0(k20_lpspace1(B, C, D), G, H)))  &  (r2_tarski(E, G) => r2_tarski(k26_valued_1(B, k1_numbers, E, A), k1_rlvect_1(k20_lpspace1(B, C, D), G, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_lpspace1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(B), C) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  ( (D=k1_relset_1(B, E) &  (! [F] :  (r2_tarski(F, k1_relset_1(B, E)) => k1_funct_1(E, F)=A) ) )  => r1_mesfunc6(B, C, E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (r2_tarski(D, k9_lpspace1(A, B, C)) & k1_mesfunc6(A, B, C, k56_valued_1(A, k1_numbers, D))=k5_numbers)  => r1_lpspace1(A, B, C, D, k8_lpspace1(A, k5_numbers))) ) ) ) ) ) ) ) ) ).
fof(t54_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  => k1_mesfunc6(A, B, C, k56_valued_1(A, k1_numbers, k8_lpspace1(A, k5_numbers)))=k5_numbers) ) ) ) ) ) ).
fof(t55_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (r3_mesfunc6(A, B, C, D) & r3_mesfunc6(A, B, C, E))  => r1_xxreal_0(k1_mesfunc6(A, B, C, k56_valued_1(A, k1_numbers, k3_valued_1(A, k1_numbers, k1_numbers, D, E))), k3_supinf_2(k1_mesfunc6(A, B, C, k56_valued_1(A, k1_numbers, D)), k1_mesfunc6(A, B, C, k56_valued_1(A, k1_numbers, E))))) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_lpspace1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_lpspace1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v1_funct_1(k1_lpspace1(A, B)) &  (v1_funct_2(k1_lpspace1(A, B), k2_zfmisc_1(k1_numbers, B), B) & m1_subset_1(k1_lpspace1(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, B), B)))) ) ) ) ).
fof(dt_k2_lpspace1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k3_rfunct_3(A, B), k3_rfunct_3(A, B)), k3_rfunct_3(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rfunct_3(A, B), k3_rfunct_3(A, B)), k3_rfunct_3(A, B))))) )  &  (m1_subset_1(D, k3_rfunct_3(A, B)) & m1_subset_1(E, k3_rfunct_3(A, B))) ) ) )  => m2_rfunct_3(k2_lpspace1(A, B, C, D, E), A, B, k3_rfunct_3(A, B))) ) ).
fof(redefinition_k2_lpspace1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k3_rfunct_3(A, B), k3_rfunct_3(A, B)), k3_rfunct_3(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rfunct_3(A, B), k3_rfunct_3(A, B)), k3_rfunct_3(A, B))))) )  &  (m1_subset_1(D, k3_rfunct_3(A, B)) & m1_subset_1(E, k3_rfunct_3(A, B))) ) ) )  => k2_lpspace1(A, B, C, D, E)=k1_binop_1(C, D, E)) ) ).
fof(dt_k3_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k3_lpspace1(A)) &  (v1_funct_2(k3_lpspace1(A), k2_zfmisc_1(k3_rfunct_3(A, k1_numbers), k3_rfunct_3(A, k1_numbers)), k3_rfunct_3(A, k1_numbers)) & m1_subset_1(k3_lpspace1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rfunct_3(A, k1_numbers), k3_rfunct_3(A, k1_numbers)), k3_rfunct_3(A, k1_numbers))))) ) ) ) ).
fof(dt_k4_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k4_lpspace1(A)) &  (v1_funct_2(k4_lpspace1(A), k2_zfmisc_1(k1_numbers, k3_rfunct_3(A, k1_numbers)), k3_rfunct_3(A, k1_numbers)) & m1_subset_1(k4_lpspace1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k3_rfunct_3(A, k1_numbers)), k3_rfunct_3(A, k1_numbers))))) ) ) ) ).
fof(dt_k5_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => m2_rfunct_3(k5_lpspace1(A), A, k1_numbers, k3_rfunct_3(A, k1_numbers))) ) ).
fof(dt_k6_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => m2_rfunct_3(k6_lpspace1(A), A, k1_numbers, k3_rfunct_3(A, k1_numbers))) ) ).
fof(dt_k7_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k7_lpspace1(A)))  & l1_rlvect_1(k7_lpspace1(A))) ) ) ).
fof(dt_k8_lpspace1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & v1_xreal_0(B))  =>  (v1_funct_1(k8_lpspace1(A, B)) & m1_subset_1(k8_lpspace1(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ).
fof(redefinition_k8_lpspace1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & v1_xreal_0(B))  => k8_lpspace1(A, B)=k2_funcop_1(A, B)) ) ).
fof(dt_k9_lpspace1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k9_lpspace1(A, B, C)))  & m1_subset_1(k9_lpspace1(A, B, C), k1_zfmisc_1(u1_struct_0(k7_lpspace1(A))))) ) ) ).
fof(dt_k10_lpspace1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k10_lpspace1(A, B, C)))  & l1_rlvect_1(k10_lpspace1(A, B, C))) ) ) ).
fof(dt_k11_lpspace1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k11_lpspace1(A, B, C)))  & m1_subset_1(k11_lpspace1(A, B, C), k1_zfmisc_1(u1_struct_0(k10_lpspace1(A, B, C))))) ) ) ).
fof(dt_k12_lpspace1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k12_lpspace1(A, B, C)))  & l1_rlvect_1(k12_lpspace1(A, B, C))) ) ) ).
fof(dt_k13_lpspace1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  => m1_subset_1(k13_lpspace1(A, B, C, D), k1_zfmisc_1(k9_lpspace1(A, B, C)))) ) ).
fof(dt_k14_lpspace1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k14_lpspace1(A, B, C)))  & m1_subset_1(k14_lpspace1(A, B, C), k1_zfmisc_1(k1_zfmisc_1(k9_lpspace1(A, B, C))))) ) ) ).
fof(dt_k15_lpspace1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) ) )  =>  (v1_funct_1(k15_lpspace1(A, B, C)) &  (v1_funct_2(k15_lpspace1(A, B, C), k2_zfmisc_1(k14_lpspace1(A, B, C), k14_lpspace1(A, B, C)), k14_lpspace1(A, B, C)) & m1_subset_1(k15_lpspace1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k14_lpspace1(A, B, C), k14_lpspace1(A, B, C)), k14_lpspace1(A, B, C))))) ) ) ) ).
fof(dt_k16_lpspace1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) ) )  => m2_subset_1(k16_lpspace1(A, B, C), k1_zfmisc_1(k9_lpspace1(A, B, C)), k14_lpspace1(A, B, C))) ) ).
fof(dt_k17_lpspace1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) ) )  =>  (v1_funct_1(k17_lpspace1(A, B, C)) &  (v1_funct_2(k17_lpspace1(A, B, C), k2_zfmisc_1(k1_numbers, k14_lpspace1(A, B, C)), k14_lpspace1(A, B, C)) & m1_subset_1(k17_lpspace1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k14_lpspace1(A, B, C)), k14_lpspace1(A, B, C))))) ) ) ) ).
fof(dt_k18_lpspace1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k18_lpspace1(A, B, C)))  &  (v13_algstr_0(k18_lpspace1(A, B, C)) &  (v1_rlvect_1(k18_lpspace1(A, B, C)) &  (v2_rlvect_1(k18_lpspace1(A, B, C)) &  (v3_rlvect_1(k18_lpspace1(A, B, C)) &  (v4_rlvect_1(k18_lpspace1(A, B, C)) &  (v5_rlvect_1(k18_lpspace1(A, B, C)) &  (v6_rlvect_1(k18_lpspace1(A, B, C)) &  (v7_rlvect_1(k18_lpspace1(A, B, C)) &  (v8_rlvect_1(k18_lpspace1(A, B, C)) & l1_rlvect_1(k18_lpspace1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k19_lpspace1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) ) )  =>  (v1_funct_1(k19_lpspace1(A, B, C)) &  (v1_funct_2(k19_lpspace1(A, B, C), u1_struct_0(k18_lpspace1(A, B, C)), k1_numbers) & m1_subset_1(k19_lpspace1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k18_lpspace1(A, B, C)), k1_numbers)))) ) ) ) ).
fof(dt_k20_lpspace1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k20_lpspace1(A, B, C)))  & l1_normsp_1(k20_lpspace1(A, B, C))) ) ) ).
fof(d8_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  => k9_lpspace1(A, B, C)=a_3_0_lpspace1(A, B, C)) ) ) ) ) ) ).
fof(d11_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  => k11_lpspace1(A, B, C)=a_3_1_lpspace1(A, B, C)) ) ) ) ) ) ).
fof(d13_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  => k13_lpspace1(A, B, C, D)=a_4_0_lpspace1(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(d14_lpspace1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  => k14_lpspace1(A, B, C)=a_3_2_lpspace1(A, B, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_lpspace1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, C, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) ) ) )  =>  (r2_hidden(A, a_3_0_lpspace1(B, C, D)) <=>  (? [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  &  (A=E &  (? [F] :  (m2_subset_1(F, k1_zfmisc_1(B), C) &  (k3_funct_2(C, k6_numbers, D, F)=k5_numbers &  (k1_relset_1(B, E)=k3_subset_1(B, F) & r3_mesfunc6(B, C, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_lpspace1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, C, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) ) ) )  =>  (r2_hidden(A, a_3_1_lpspace1(B, C, D)) <=>  (? [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  &  (A=E &  (r2_tarski(E, k9_lpspace1(B, C, D)) & r1_lpspace1(B, C, D, E, k8_lpspace1(B, k5_numbers))) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_lpspace1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, C, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  &  (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) ) ) )  =>  (r2_hidden(A, a_4_0_lpspace1(B, C, D, E)) <=>  (? [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  &  (A=F &  (r2_tarski(F, k9_lpspace1(B, C, D)) &  (r2_tarski(E, k9_lpspace1(B, C, D)) & r1_lpspace1(B, C, D, E, F)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_2_lpspace1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, C, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) ) ) )  =>  (r2_hidden(A, a_3_2_lpspace1(B, C, D)) <=>  (? [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  &  (A=k13_lpspace1(B, C, D, E) & r2_tarski(E, k9_lpspace1(B, C, D))) ) ) ) ) ) ).
fof(cc1_lpspace2, axiom,  (! [A] :  ( (v1_xreal_0(A) & v1_lpspace2(A))  =>  (v2_xxreal_0(A) & v1_xreal_0(A)) ) ) ).
fof(rc1_lpspace2, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) & v1_lpspace2(A)) ) ) ) ).
fof(rc2_lpspace2, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) & v1_lpspace2(A)) ) ) ) ).
fof(fc1_lpspace2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_relat_1(k54_valued_1(B)) &  (v1_funct_1(k54_valued_1(B)) &  (v3_valued_0(k54_valued_1(B)) & v6_supinf_2(k54_valued_1(B))) ) ) ) ) ).
fof(fc2_lpspace2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  &  (v2_xxreal_0(D) & v1_xreal_0(D)) ) ) )  =>  ( ~ (v1_xboole_0(k1_lpspace2(A, B, C, D)))  &  (v1_ideal_1(k1_lpspace2(A, B, C, D), k7_lpspace1(A)) & v1_lpspace1(k1_lpspace2(A, B, C, D), k7_lpspace1(A))) ) ) ) ).
fof(fc3_lpspace2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  &  (v2_xxreal_0(D) & v1_xreal_0(D)) ) ) )  =>  (v1_rlvect_1(g1_rlvect_1(k1_lpspace2(A, B, C, D), k10_subset_1(k4_struct_0(k7_lpspace1(A)), k1_lpspace2(A, B, C, D)), k1_ideal_1(k7_lpspace1(A), k1_lpspace2(A, B, C, D)), k1_lpspace1(k7_lpspace1(A), k1_lpspace2(A, B, C, D)))) &  (v2_rlvect_1(g1_rlvect_1(k1_lpspace2(A, B, C, D), k10_subset_1(k4_struct_0(k7_lpspace1(A)), k1_lpspace2(A, B, C, D)), k1_ideal_1(k7_lpspace1(A), k1_lpspace2(A, B, C, D)), k1_lpspace1(k7_lpspace1(A), k1_lpspace2(A, B, C, D)))) &  (v3_rlvect_1(g1_rlvect_1(k1_lpspace2(A, B, C, D), k10_subset_1(k4_struct_0(k7_lpspace1(A)), k1_lpspace2(A, B, C, D)), k1_ideal_1(k7_lpspace1(A), k1_lpspace2(A, B, C, D)), k1_lpspace1(k7_lpspace1(A), k1_lpspace2(A, B, C, D)))) &  (v4_rlvect_1(g1_rlvect_1(k1_lpspace2(A, B, C, D), k10_subset_1(k4_struct_0(k7_lpspace1(A)), k1_lpspace2(A, B, C, D)), k1_ideal_1(k7_lpspace1(A), k1_lpspace2(A, B, C, D)), k1_lpspace1(k7_lpspace1(A), k1_lpspace2(A, B, C, D)))) &  (v5_rlvect_1(g1_rlvect_1(k1_lpspace2(A, B, C, D), k10_subset_1(k4_struct_0(k7_lpspace1(A)), k1_lpspace2(A, B, C, D)), k1_ideal_1(k7_lpspace1(A), k1_lpspace2(A, B, C, D)), k1_lpspace1(k7_lpspace1(A), k1_lpspace2(A, B, C, D)))) &  (v6_rlvect_1(g1_rlvect_1(k1_lpspace2(A, B, C, D), k10_subset_1(k4_struct_0(k7_lpspace1(A)), k1_lpspace2(A, B, C, D)), k1_ideal_1(k7_lpspace1(A), k1_lpspace2(A, B, C, D)), k1_lpspace1(k7_lpspace1(A), k1_lpspace2(A, B, C, D)))) &  (v7_rlvect_1(g1_rlvect_1(k1_lpspace2(A, B, C, D), k10_subset_1(k4_struct_0(k7_lpspace1(A)), k1_lpspace2(A, B, C, D)), k1_ideal_1(k7_lpspace1(A), k1_lpspace2(A, B, C, D)), k1_lpspace1(k7_lpspace1(A), k1_lpspace2(A, B, C, D)))) & v8_rlvect_1(g1_rlvect_1(k1_lpspace2(A, B, C, D), k10_subset_1(k4_struct_0(k7_lpspace1(A)), k1_lpspace2(A, B, C, D)), k1_ideal_1(k7_lpspace1(A), k1_lpspace2(A, B, C, D)), k1_lpspace1(k7_lpspace1(A), k1_lpspace2(A, B, C, D))))) ) ) ) ) ) ) ) ) ).
fof(fc4_lpspace2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  &  (v2_xxreal_0(D) & v1_xreal_0(D)) ) ) )  =>  ( ~ (v1_xboole_0(k3_lpspace2(A, B, C, D)))  &  (v1_ideal_1(k3_lpspace2(A, B, C, D), k2_lpspace2(A, B, C, D)) & v1_lpspace1(k3_lpspace2(A, B, C, D), k2_lpspace2(A, B, C, D))) ) ) ) ).
fof(fc5_lpspace2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  &  (v2_xxreal_0(D) & v1_xreal_0(D)) ) ) )  =>  ( ~ (v2_struct_0(k2_lpspace2(A, B, C, D)))  &  (v1_rlvect_1(k2_lpspace2(A, B, C, D)) &  (v2_rlvect_1(k2_lpspace2(A, B, C, D)) &  (v3_rlvect_1(k2_lpspace2(A, B, C, D)) &  (v4_rlvect_1(k2_lpspace2(A, B, C, D)) &  (v5_rlvect_1(k2_lpspace2(A, B, C, D)) &  (v6_rlvect_1(k2_lpspace2(A, B, C, D)) &  (v7_rlvect_1(k2_lpspace2(A, B, C, D)) & v8_rlvect_1(k2_lpspace2(A, B, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(fc6_lpspace2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  &  (v2_xxreal_0(D) & v1_xreal_0(D)) ) ) )  =>  ( ~ (v2_struct_0(k10_lpspace2(A, B, C, D)))  & v1_rlvect_1(k10_lpspace2(A, B, C, D))) ) ) ).
fof(fc7_lpspace2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  &  (v2_xxreal_0(D) & v1_xreal_0(D)) ) ) )  =>  (v13_algstr_0(k10_lpspace2(A, B, C, D)) &  (v1_rlvect_1(k10_lpspace2(A, B, C, D)) &  (v2_rlvect_1(k10_lpspace2(A, B, C, D)) &  (v3_rlvect_1(k10_lpspace2(A, B, C, D)) &  (v4_rlvect_1(k10_lpspace2(A, B, C, D)) &  (v5_rlvect_1(k10_lpspace2(A, B, C, D)) &  (v6_rlvect_1(k10_lpspace2(A, B, C, D)) &  (v7_rlvect_1(k10_lpspace2(A, B, C, D)) & v8_rlvect_1(k10_lpspace2(A, B, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(fc8_lpspace2, axiom,  (! [A, B, C, D] :  ( ( (v1_xreal_0(A) & v1_lpspace2(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, C, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k12_lpspace2(B, C, D, A)))  &  (v13_algstr_0(k12_lpspace2(B, C, D, A)) &  (v2_rlvect_1(k12_lpspace2(B, C, D, A)) &  (v3_rlvect_1(k12_lpspace2(B, C, D, A)) &  (v4_rlvect_1(k12_lpspace2(B, C, D, A)) &  (v5_rlvect_1(k12_lpspace2(B, C, D, A)) &  (v6_rlvect_1(k12_lpspace2(B, C, D, A)) &  (v7_rlvect_1(k12_lpspace2(B, C, D, A)) &  (v8_rlvect_1(k12_lpspace2(B, C, D, A)) &  (v3_normsp_0(k12_lpspace2(B, C, D, A)) &  (v4_normsp_0(k12_lpspace2(B, C, D, A)) & v2_normsp_1(k12_lpspace2(B, C, D, A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc9_lpspace2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  &  (v1_xreal_0(D) & v1_lpspace2(D)) ) ) )  =>  ( ~ (v2_struct_0(k12_lpspace2(A, B, C, D)))  & v3_lopban_1(k12_lpspace2(A, B, C, D))) ) ) ).
fof(t1_lpspace2, axiom,  (! [A] :  ( (v2_xxreal_0(A) & v1_xreal_0(A))  =>  (! [B] :  ( (v2_xxreal_0(B) & v1_xreal_0(B))  =>  ~ ( (k3_supinf_2(k2_extreal1(1, A), k2_extreal1(1, B))=1 & r1_xxreal_0(A, 1)) ) ) ) ) ) ).
fof(t2_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (D=k1_relset_1(A, E) &  (r1_mesfunc1(A, B, E, D) & v6_supinf_2(E)) )  =>  (r2_tarski(k7_mesfunc5(A, B, C, E), k1_numbers) <=> r1_mesfunc5(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_lpspace2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_lpspace2(A) <=> r1_xxreal_0(1, A)) ) ) ).
fof(t3_lpspace2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (r1_xxreal_0(k5_numbers, A) &  ( ~ (r1_xxreal_0(B, A))  & r1_xxreal_0(k2_power(B, C), k2_power(A, C))) ) ) ) ) ) ) ) ) ) ).
fof(t4_lpspace2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(k5_numbers, A) =>  (r1_xxreal_0(B, k5_numbers) | r1_xxreal_0(k5_numbers, k2_power(A, B))) ) ) ) ) ) ).
fof(t5_lpspace2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_xxreal_0(k5_numbers, A) & r1_xxreal_0(k5_numbers, B))  =>  (r1_xxreal_0(C, k5_numbers) | k2_power(k3_xcmplx_0(A, B), C)=k3_xcmplx_0(k2_power(A, C), k2_power(B, C))) ) ) ) ) ) ) ) ).
fof(t6_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (v6_supinf_2(D) =>  (r1_xxreal_0(B, k5_numbers) |  (r1_xxreal_0(C, k5_numbers) | r2_relset_1(A, k1_numbers, k2_mesfun6c(C, A, k2_mesfun6c(B, A, D)), k2_mesfun6c(k3_xcmplx_0(B, C), A, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (v6_supinf_2(D) =>  (r1_xxreal_0(B, k5_numbers) |  (r1_xxreal_0(C, k5_numbers) | r2_relset_1(A, k1_numbers, k20_valued_1(A, k1_numbers, k1_numbers, k2_mesfun6c(B, A, D), k2_mesfun6c(C, A, D)), k2_mesfun6c(k2_xcmplx_0(B, C), A, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  => r2_relset_1(A, k1_numbers, k2_mesfun6c(1, A, B), B)) ) ) ) ).
fof(t9_lpspace2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v2_xxreal_0(C) & v1_xreal_0(C))  =>  ( (! [D] :  (v7_ordinal1(D) =>  (k8_nat_1(k1_numbers, A, D)=k2_power(k8_nat_1(k1_numbers, B, D), C) & r1_xxreal_0(k5_numbers, k8_nat_1(k1_numbers, B, D))) ) )  =>  (v2_comseq_2(A) <=> v2_comseq_2(B)) ) ) ) ) ) ) ) ).
fof(t10_lpspace2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(C, B) =>  (r1_xxreal_0(k3_extreal1(k5_real_1(k8_nat_1(k1_numbers, k3_series_1(A), B), k8_nat_1(k1_numbers, k3_series_1(A), C))), k5_real_1(k8_nat_1(k1_numbers, k3_series_1(k56_valued_1(k4_ordinal1, k1_numbers, A)), B), k8_nat_1(k1_numbers, k3_series_1(k56_valued_1(k4_ordinal1, k1_numbers, A)), C))) & r1_xxreal_0(k3_extreal1(k5_real_1(k8_nat_1(k1_numbers, k3_series_1(A), B), k8_nat_1(k1_numbers, k3_series_1(A), C))), k8_nat_1(k1_numbers, k3_series_1(k56_valued_1(k4_ordinal1, k1_numbers, A)), B))) ) ) ) ) ) ) ) ).
fof(t11_lpspace2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v2_xxreal_0(C) & v1_xreal_0(C))  =>  ( (v2_comseq_2(A) &  (! [D] :  (v7_ordinal1(D) => k8_nat_1(k1_numbers, B, D)=k2_power(k9_complex1(k6_xcmplx_0(k1_seq_2(A), k8_nat_1(k1_numbers, A, D))), C)) ) )  =>  (v2_comseq_2(B) & k1_seq_2(B)=k5_numbers) ) ) ) ) ) ) ) ).
fof(t12_lpspace2, axiom,  (! [A] :  ( (v2_xxreal_0(A) & v1_xreal_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  => r2_relset_1(B, k1_numbers, k2_mesfun6c(A, B, k8_lpspace1(B, k5_numbers)), k8_lpspace1(B, k5_numbers))) ) ) ) ).
fof(t13_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] : r2_relset_1(A, k1_numbers, k56_valued_1(A, k1_numbers, k2_partfun1(A, k1_numbers, B, C)), k2_partfun1(A, k1_numbers, k56_valued_1(A, k1_numbers, B), C))) ) ) ) ) ).
fof(t14_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (v6_supinf_2(B) => r2_relset_1(A, k1_numbers, k56_valued_1(A, k1_numbers, B), B)) ) ) ) ) ).
fof(t15_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (A=k1_relset_1(A, D) &  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, k1_relset_1(A, D)) => k5_numbers=k1_funct_1(D, E)) ) ) )  =>  (r3_mesfunc6(A, B, C, D) & k1_mesfunc6(A, B, C, D)=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t16_lpspace2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  =>  (r1_xxreal_0(k2_power(k9_complex1(k2_xcmplx_0(A, B)), C), k2_power(k2_xcmplx_0(k9_complex1(A), k9_complex1(B)), C)) &  (r1_xxreal_0(k2_power(k2_xcmplx_0(k9_complex1(A), k9_complex1(B)), C), k2_power(k3_xcmplx_0(2, k4_xxreal_0(k9_complex1(A), k9_complex1(B))), C)) & r1_xxreal_0(k2_power(k9_complex1(k2_xcmplx_0(A, B)), C), k2_power(k3_xcmplx_0(2, k4_xxreal_0(k9_complex1(A), k9_complex1(B))), C))) ) ) ) ) ) ) ) ) ).
fof(t17_lpspace2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_xxreal_0(k5_numbers, A) & r1_xxreal_0(k5_numbers, B))  =>  (r1_xxreal_0(C, k5_numbers) | r1_xxreal_0(k2_power(k4_xxreal_0(A, B), C), k2_xcmplx_0(k2_power(A, C), k2_power(B, C)))) ) ) ) ) ) ) ) ).
fof(t18_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( ~ (r1_xxreal_0(D, k5_numbers))  => r2_relset_1(A, k1_numbers, k26_valued_1(A, k1_numbers, k2_mesfun6c(D, A, k56_valued_1(A, k1_numbers, B)), k2_power(k9_complex1(C), D)), k2_mesfun6c(D, A, k56_valued_1(A, k1_numbers, k26_valued_1(A, k1_numbers, B, C))))) ) ) ) ) ) ) ) ) ).
fof(t19_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  ( ~ (r1_xxreal_0(D, k5_numbers))  &  ~ (r2_relset_1(A, k1_numbers, k26_valued_1(A, k1_numbers, k2_mesfun6c(D, A, k56_valued_1(A, k1_numbers, B)), k2_power(C, D)), k2_mesfun6c(D, A, k26_valued_1(A, k1_numbers, k56_valued_1(A, k1_numbers, B), C)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] : r2_relset_1(A, k1_numbers, k2_mesfun6c(C, A, k2_partfun1(A, k1_numbers, B, D)), k2_partfun1(A, k1_numbers, k2_mesfun6c(C, A, B), D))) ) ) ) ) ) ) ).
fof(t21_lpspace2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  => r1_xxreal_0(k2_power(k9_complex1(k2_xcmplx_0(A, B)), C), k3_xcmplx_0(k2_power(2, C), k2_xcmplx_0(k2_power(k9_complex1(A), C), k2_power(k9_complex1(B), C))))) ) ) ) ) ) ) ).
fof(t22_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v2_xxreal_0(D) & v1_xreal_0(D))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (r2_tarski(E, k1_lpspace2(A, B, C, D)) & r2_tarski(F, k1_lpspace2(A, B, C, D)))  =>  (r3_mesfunc6(A, B, C, k2_mesfun6c(D, A, k56_valued_1(A, k1_numbers, E))) &  (r3_mesfunc6(A, B, C, k2_mesfun6c(D, A, k56_valued_1(A, k1_numbers, F))) & r3_mesfunc6(A, B, C, k3_valued_1(A, k1_numbers, k1_numbers, k2_mesfun6c(D, A, k56_valued_1(A, k1_numbers, E)), k2_mesfun6c(D, A, k56_valued_1(A, k1_numbers, F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v2_xxreal_0(D) & v1_xreal_0(D))  =>  ( (v1_funct_1(k8_lpspace1(A, k5_numbers)) & m1_subset_1(k8_lpspace1(A, k5_numbers), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  & r2_tarski(k8_lpspace1(A, k5_numbers), k1_lpspace2(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t24_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, k9_subset_1(A, k1_relset_1(A, C), k1_relset_1(A, D))) => r1_xxreal_0(k1_funct_1(k2_mesfun6c(B, A, k56_valued_1(A, k1_numbers, k3_valued_1(A, k1_numbers, k1_numbers, C, D))), E), k1_funct_1(k26_valued_1(A, k1_numbers, k3_valued_1(A, k1_numbers, k1_numbers, k2_mesfun6c(B, A, k56_valued_1(A, k1_numbers, C)), k2_mesfun6c(B, A, k56_valued_1(A, k1_numbers, D))), k2_power(2, B)), E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [F] :  ( (v2_xxreal_0(F) & v1_xreal_0(F))  =>  ( (r2_tarski(D, k1_lpspace2(A, B, C, F)) & r2_tarski(E, k1_lpspace2(A, B, C, F)))  => r2_tarski(k3_valued_1(A, k1_numbers, k1_numbers, D, E), k1_lpspace2(A, B, C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v2_xxreal_0(F) & v1_xreal_0(F))  =>  (r2_tarski(D, k1_lpspace2(A, B, C, F)) => r2_tarski(k26_valued_1(A, k1_numbers, D, E), k1_lpspace2(A, B, C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [F] :  ( (v2_xxreal_0(F) & v1_xreal_0(F))  =>  ( (r2_tarski(D, k1_lpspace2(A, B, C, F)) & r2_tarski(E, k1_lpspace2(A, B, C, F)))  => r2_tarski(k47_valued_1(A, k1_numbers, k1_numbers, D, E), k1_lpspace2(A, B, C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v2_xxreal_0(E) & v1_xreal_0(E))  =>  (r2_tarski(D, k1_lpspace2(A, B, C, E)) => r2_tarski(k56_valued_1(A, k1_numbers, D), k1_lpspace2(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v2_xxreal_0(D) & v1_xreal_0(D))  => k2_lpspace2(A, B, C, D)=g1_rlvect_1(k1_lpspace2(A, B, C, D), k10_subset_1(k4_struct_0(k7_lpspace1(A)), k1_lpspace2(A, B, C, D)), k1_ideal_1(k7_lpspace1(A), k1_lpspace2(A, B, C, D)), k1_lpspace1(k7_lpspace1(A), k1_lpspace2(A, B, C, D)))) ) ) ) ) ) ) ) ).
fof(t29_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [F] :  ( (v2_xxreal_0(F) & v1_xreal_0(F))  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k2_lpspace2(A, B, C, F))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k2_lpspace2(A, B, C, F))) =>  ( (D=G & E=H)  => k3_valued_1(A, k1_numbers, k1_numbers, D, E)=k3_rlvect_1(k2_lpspace2(A, B, C, F), G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v2_xxreal_0(F) & v1_xreal_0(F))  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k2_lpspace2(A, B, C, F))) =>  (D=G => k26_valued_1(A, k1_numbers, D, E)=k1_rlvect_1(k2_lpspace2(A, B, C, F), G, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v2_xxreal_0(E) & v1_xreal_0(E))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_lpspace2(A, B, C, E))) =>  (D=F =>  (k3_rlvect_1(k2_lpspace2(A, B, C, E), F, k1_rlvect_1(k2_lpspace2(A, B, C, E), F, k4_xcmplx_0(1)))=k2_partfun1(A, k1_numbers, k8_lpspace1(A, k5_numbers), k1_relset_1(A, D)) &  (? [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  &  (? [H] :  ( (v1_funct_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  &  (r2_tarski(G, k1_lpspace2(A, B, C, E)) &  (r2_tarski(H, k1_lpspace2(A, B, C, E)) &  (G=k3_rlvect_1(k2_lpspace2(A, B, C, E), F, k1_rlvect_1(k2_lpspace2(A, B, C, E), F, k4_xcmplx_0(1))) &  (r2_relset_1(A, k1_numbers, H, k8_lpspace1(A, k5_numbers)) & r1_lpspace1(A, B, C, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v2_xxreal_0(D) & v1_xreal_0(D))  =>  (k4_struct_0(k2_lpspace2(A, B, C, D))=k8_lpspace1(A, k5_numbers) & r2_tarski(k4_struct_0(k2_lpspace2(A, B, C, D)), k3_lpspace2(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(d5_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v2_xxreal_0(D) & v1_xreal_0(D))  => k4_lpspace2(A, B, C, D)=g1_rlvect_1(k3_lpspace2(A, B, C, D), k10_subset_1(k4_struct_0(k2_lpspace2(A, B, C, D)), k3_lpspace2(A, B, C, D)), k1_ideal_1(k2_lpspace2(A, B, C, D), k3_lpspace2(A, B, C, D)), k1_lpspace1(k2_lpspace2(A, B, C, D), k3_lpspace2(A, B, C, D)))) ) ) ) ) ) ) ) ).
fof(t33_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [F] :  ( (v2_xxreal_0(F) & v1_xreal_0(F))  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k4_lpspace2(A, B, C, F))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k4_lpspace2(A, B, C, F))) =>  ( (D=G & E=H)  => k3_valued_1(A, k1_numbers, k1_numbers, D, E)=k1_algstr_0(k4_lpspace2(A, B, C, F), G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v2_xxreal_0(F) & v1_xreal_0(F))  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k4_lpspace2(A, B, C, F))) =>  (D=G => k26_valued_1(A, k1_numbers, D, E)=k1_rlvect_1(k4_lpspace2(A, B, C, F), G, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v2_xxreal_0(E) & v1_xreal_0(E))  =>  ~ ( (r2_tarski(D, k1_lpspace2(A, B, C, E)) &  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ~ ( (k1_funct_1(C, k3_subset_1(A, F))=k5_numbers &  (k1_relset_1(A, D)=F & r1_mesfunc6(A, B, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [F] :  ( (v2_xxreal_0(F) & v1_xreal_0(F))  =>  ( (r2_tarski(E, k1_lpspace2(A, B, C, F)) & r1_lpspace1(A, B, C, E, D))  => r2_tarski(E, k5_lpspace2(A, B, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [F] :  ( (v2_xxreal_0(F) & v1_xreal_0(F))  =>  (r2_tarski(E, k5_lpspace2(A, B, C, D, F)) =>  ( (! [G] :  (m2_subset_1(G, k1_zfmisc_1(A), B) =>  ~ ( (k1_funct_1(C, k3_subset_1(A, G))=k5_numbers &  (G=k1_relset_1(A, D) & r1_mesfunc6(A, B, D, G)) ) ) ) )  |  (r1_lpspace1(A, B, C, E, D) & r2_tarski(D, k1_lpspace2(A, B, C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v2_xxreal_0(E) & v1_xreal_0(E))  =>  (r2_tarski(D, k1_lpspace2(A, B, C, E)) => r2_tarski(D, k5_lpspace2(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [F] :  ( (v2_xxreal_0(F) & v1_xreal_0(F))  =>  (k5_lpspace2(A, B, C, D, F)=k5_lpspace2(A, B, C, E, F) =>  ( (! [G] :  (m2_subset_1(G, k1_zfmisc_1(A), B) =>  ~ ( (k1_funct_1(C, k3_subset_1(A, G))=k5_numbers &  (G=k1_relset_1(A, E) & r1_mesfunc6(A, B, E, G)) ) ) ) )  |  (k5_lpspace2(A, B, C, D, F)=k1_xboole_0 | r1_lpspace1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [F] :  ( (v2_xxreal_0(F) & v1_xreal_0(F))  =>  ( (r2_tarski(D, k1_lpspace2(A, B, C, F)) & k5_lpspace2(A, B, C, D, F)=k5_lpspace2(A, B, C, E, F))  =>  ( (! [G] :  (m2_subset_1(G, k1_zfmisc_1(A), B) =>  ~ ( (k1_funct_1(C, k3_subset_1(A, G))=k5_numbers &  (G=k1_relset_1(A, E) & r1_mesfunc6(A, B, E, G)) ) ) ) )  | r1_lpspace1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [F] :  ( (v2_xxreal_0(F) & v1_xreal_0(F))  =>  (r1_lpspace1(A, B, C, D, E) => k5_lpspace2(A, B, C, D, F)=k5_lpspace2(A, B, C, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [F] :  ( (v2_xxreal_0(F) & v1_xreal_0(F))  =>  (r1_lpspace1(A, B, C, D, E) => k5_lpspace2(A, B, C, D, F)=k5_lpspace2(A, B, C, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [F] :  ( (v2_xxreal_0(F) & v1_xreal_0(F))  =>  ( (r2_tarski(D, k1_lpspace2(A, B, C, F)) & r2_tarski(E, k5_lpspace2(A, B, C, D, F)))  => k5_lpspace2(A, B, C, D, F)=k5_lpspace2(A, B, C, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [H] :  ( (v2_xxreal_0(H) & v1_xreal_0(H))  =>  ( (k5_lpspace2(A, B, C, D, H)=k5_lpspace2(A, B, C, F, H) & k5_lpspace2(A, B, C, E, H)=k5_lpspace2(A, B, C, G, H))  =>  ( (! [I] :  (m2_subset_1(I, k1_zfmisc_1(A), B) =>  ~ ( (k1_funct_1(C, k3_subset_1(A, I))=k5_numbers &  (I=k1_relset_1(A, D) & r1_mesfunc6(A, B, D, I)) ) ) ) )  |  ( (! [I] :  (m2_subset_1(I, k1_zfmisc_1(A), B) =>  ~ ( (k1_funct_1(C, k3_subset_1(A, I))=k5_numbers &  (I=k1_relset_1(A, F) & r1_mesfunc6(A, B, F, I)) ) ) ) )  |  ( (! [I] :  (m2_subset_1(I, k1_zfmisc_1(A), B) =>  ~ ( (k1_funct_1(C, k3_subset_1(A, I))=k5_numbers &  (I=k1_relset_1(A, E) & r1_mesfunc6(A, B, E, I)) ) ) ) )  |  ( (! [I] :  (m2_subset_1(I, k1_zfmisc_1(A), B) =>  ~ ( (k1_funct_1(C, k3_subset_1(A, I))=k5_numbers &  (I=k1_relset_1(A, G) & r1_mesfunc6(A, B, G, I)) ) ) ) )  |  (v1_xboole_0(k5_lpspace2(A, B, C, D, H)) |  (v1_xboole_0(k5_lpspace2(A, B, C, E, H)) | k5_lpspace2(A, B, C, k3_valued_1(A, k1_numbers, k1_numbers, D, E), H)=k5_lpspace2(A, B, C, k3_valued_1(A, k1_numbers, k1_numbers, F, G), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [H] :  ( (v2_xxreal_0(H) & v1_xreal_0(H))  =>  ( (r2_tarski(D, k1_lpspace2(A, B, C, H)) &  (r2_tarski(F, k1_lpspace2(A, B, C, H)) &  (r2_tarski(E, k1_lpspace2(A, B, C, H)) &  (r2_tarski(G, k1_lpspace2(A, B, C, H)) &  (k5_lpspace2(A, B, C, D, H)=k5_lpspace2(A, B, C, F, H) & k5_lpspace2(A, B, C, E, H)=k5_lpspace2(A, B, C, G, H)) ) ) ) )  => k5_lpspace2(A, B, C, k3_valued_1(A, k1_numbers, k1_numbers, D, E), H)=k5_lpspace2(A, B, C, k3_valued_1(A, k1_numbers, k1_numbers, F, G), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  ( (v2_xxreal_0(G) & v1_xreal_0(G))  =>  (k5_lpspace2(A, B, C, D, G)=k5_lpspace2(A, B, C, E, G) =>  ( (! [H] :  (m2_subset_1(H, k1_zfmisc_1(A), B) =>  ~ ( (k1_funct_1(C, k3_subset_1(A, H))=k5_numbers &  (k1_relset_1(A, D)=H & r1_mesfunc6(A, B, D, H)) ) ) ) )  |  ( (! [H] :  (m2_subset_1(H, k1_zfmisc_1(A), B) =>  ~ ( (k1_funct_1(C, k3_subset_1(A, H))=k5_numbers &  (k1_relset_1(A, E)=H & r1_mesfunc6(A, B, E, H)) ) ) ) )  |  (v1_xboole_0(k5_lpspace2(A, B, C, D, G)) | k5_lpspace2(A, B, C, k26_valued_1(A, k1_numbers, D, F), G)=k5_lpspace2(A, B, C, k26_valued_1(A, k1_numbers, E, F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  ( (v2_xxreal_0(G) & v1_xreal_0(G))  =>  ( (r2_tarski(D, k1_lpspace2(A, B, C, G)) &  (r2_tarski(E, k1_lpspace2(A, B, C, G)) & k5_lpspace2(A, B, C, D, G)=k5_lpspace2(A, B, C, E, G)) )  => k5_lpspace2(A, B, C, k26_valued_1(A, k1_numbers, D, F), G)=k5_lpspace2(A, B, C, k26_valued_1(A, k1_numbers, E, F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v2_xxreal_0(D) & v1_xreal_0(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(k6_lpspace2(A, B, C, D), k6_lpspace2(A, B, C, D)), k6_lpspace2(A, B, C, D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_lpspace2(A, B, C, D), k6_lpspace2(A, B, C, D)), k6_lpspace2(A, B, C, D))))) )  =>  (E=k7_lpspace2(A, B, C, D) <=>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(k1_lpspace2(A, B, C, D)), k6_lpspace2(A, B, C, D)) =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k1_lpspace2(A, B, C, D)), k6_lpspace2(A, B, C, D)) =>  (! [H] :  ( (v1_funct_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [I] :  ( (v1_funct_1(I) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (r2_tarski(H, F) & r2_tarski(I, G))  => k4_binop_1(k6_lpspace2(A, B, C, D), E, F, G)=k5_lpspace2(A, B, C, k3_valued_1(A, k1_numbers, k1_numbers, H, I), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v2_xxreal_0(D) & v1_xreal_0(D))  => k8_lpspace2(A, B, C, D)=k5_lpspace2(A, B, C, k8_lpspace1(A, k5_numbers), D)) ) ) ) ) ) ) ) ).
fof(d10_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v2_xxreal_0(D) & v1_xreal_0(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(k1_numbers, k6_lpspace2(A, B, C, D)), k6_lpspace2(A, B, C, D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k6_lpspace2(A, B, C, D)), k6_lpspace2(A, B, C, D))))) )  =>  (E=k9_lpspace2(A, B, C, D) <=>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k1_lpspace2(A, B, C, D)), k6_lpspace2(A, B, C, D)) =>  (! [H] :  ( (v1_funct_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (r2_tarski(H, G) => k1_binop_1(E, F, G)=k5_lpspace2(A, B, C, k26_valued_1(A, k1_numbers, H, F), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v2_xxreal_0(D) & v1_xreal_0(D))  =>  (! [E] :  ( (v1_rlvect_1(E) & l1_rlvect_1(E))  =>  (E=k10_lpspace2(A, B, C, D) <=>  (u1_struct_0(E)=k6_lpspace2(A, B, C, D) &  (u1_algstr_0(E)=k7_lpspace2(A, B, C, D) &  (k4_struct_0(E)=k8_lpspace2(A, B, C, D) & u1_rlvect_1(E)=k9_lpspace2(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [F] :  ( (v2_xxreal_0(F) & v1_xreal_0(F))  =>  ( (r2_tarski(D, k1_lpspace2(A, B, C, F)) &  (r2_tarski(E, k1_lpspace2(A, B, C, F)) & r1_lpspace1(A, B, C, D, E)) )  => k1_mesfunc6(A, B, C, k2_mesfun6c(F, A, k56_valued_1(A, k1_numbers, D)))=k1_mesfunc6(A, B, C, k2_mesfun6c(F, A, k56_valued_1(A, k1_numbers, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v2_xxreal_0(E) & v1_xreal_0(E))  =>  (r2_tarski(D, k1_lpspace2(A, B, C, E)) =>  (r2_tarski(k1_mesfunc6(A, B, C, k2_mesfun6c(E, A, k56_valued_1(A, k1_numbers, D))), k1_numbers) & r1_xxreal_0(k5_numbers, k1_mesfunc6(A, B, C, k2_mesfun6c(E, A, k56_valued_1(A, k1_numbers, D))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [F] :  ( (v2_xxreal_0(F) & v1_xreal_0(F))  =>  ( (? [G] :  (m1_subset_1(G, u1_struct_0(k10_lpspace2(A, B, C, F))) &  (r2_tarski(D, G) & r2_tarski(E, G)) ) )  =>  (r1_lpspace1(A, B, C, D, E) &  (r2_tarski(D, k1_lpspace2(A, B, C, F)) & r2_tarski(E, k1_lpspace2(A, B, C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v2_xxreal_0(E) & v1_xreal_0(E))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k10_lpspace2(A, B, C, E))) =>  (r2_tarski(D, F) =>  (r3_mesfunc6(A, B, C, k2_mesfun6c(E, A, k56_valued_1(A, k1_numbers, D))) & r2_tarski(D, k1_lpspace2(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [F] :  ( (v2_xxreal_0(F) & v1_xreal_0(F))  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k10_lpspace2(A, B, C, F))) =>  ( (r2_tarski(D, G) & r2_tarski(E, G))  =>  (r1_lpspace1(A, B, C, D, E) & k1_mesfunc6(A, B, C, k2_mesfun6c(F, A, k56_valued_1(A, k1_numbers, D)))=k1_mesfunc6(A, B, C, k2_mesfun6c(F, A, k56_valued_1(A, k1_numbers, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v2_xxreal_0(D) & v1_xreal_0(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k10_lpspace2(A, B, C, D)), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_lpspace2(A, B, C, D)), k1_numbers)))) )  =>  (E=k11_lpspace2(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(k10_lpspace2(A, B, C, D))) =>  (? [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  &  (r2_tarski(G, F) &  (? [H] :  (v1_xreal_0(H) &  (H=k1_mesfunc6(A, B, C, k2_mesfun6c(D, A, k56_valued_1(A, k1_numbers, G))) & k3_funct_2(u1_struct_0(k10_lpspace2(A, B, C, D)), k1_numbers, E, F)=k2_power(H, k2_extreal1(1, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v2_xxreal_0(D) & v1_xreal_0(D))  => k12_lpspace2(A, B, C, D)=g1_normsp_1(u1_struct_0(k10_lpspace2(A, B, C, D)), u2_struct_0(k10_lpspace2(A, B, C, D)), u1_algstr_0(k10_lpspace2(A, B, C, D)), u1_rlvect_1(k10_lpspace2(A, B, C, D)), k11_lpspace2(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t53_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v2_xxreal_0(D) & v1_xreal_0(D))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k12_lpspace2(A, B, C, D))) =>  ( (? [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  &  (r2_tarski(F, k1_lpspace2(A, B, C, D)) & E=k5_lpspace2(A, B, C, F, D)) ) )  &  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ~ ( (r2_tarski(F, E) &  (! [G] :  (v1_xreal_0(G) =>  ~ ( (r1_xxreal_0(k5_numbers, G) &  (G=k1_mesfunc6(A, B, C, k2_mesfun6c(D, A, k56_valued_1(A, k1_numbers, F))) & k2_normsp_0(k12_lpspace2(A, B, C, D), E)=k2_power(G, k2_extreal1(1, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  ( (v2_xxreal_0(G) & v1_xreal_0(G))  =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k12_lpspace2(A, B, C, G))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k12_lpspace2(A, B, C, G))) =>  ( ( (r2_tarski(D, H) & r2_tarski(E, I))  => r2_tarski(k3_valued_1(A, k1_numbers, k1_numbers, D, E), k1_algstr_0(k12_lpspace2(A, B, C, G), H, I)))  &  (r2_tarski(D, H) => r2_tarski(k26_valued_1(A, k1_numbers, D, F), k1_rlvect_1(k12_lpspace2(A, B, C, G), H, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v2_xxreal_0(E) & v1_xreal_0(E))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k12_lpspace2(A, B, C, E))) =>  (r2_tarski(D, F) =>  (F=k5_lpspace2(A, B, C, D, E) &  (? [G] :  (v1_xreal_0(G) &  (r1_xxreal_0(k5_numbers, G) &  (G=k1_mesfunc6(A, B, C, k2_mesfun6c(E, A, k56_valued_1(A, k1_numbers, D))) & k2_normsp_0(k12_lpspace2(A, B, C, E), F)=k2_power(G, k2_extreal1(1, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  => r2_tarski(k8_lpspace1(A, k5_numbers), k9_lpspace1(A, B, C))) ) ) ) ) ) ).
fof(t57_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v2_xxreal_0(E) & v1_xreal_0(E))  =>  ( (r2_tarski(D, k1_lpspace2(A, B, C, E)) & k1_mesfunc6(A, B, C, k2_mesfun6c(E, A, k56_valued_1(A, k1_numbers, D)))=k5_numbers)  => r1_lpspace1(A, B, C, D, k8_lpspace1(A, k5_numbers))) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v2_xxreal_0(D) & v1_xreal_0(D))  => k1_mesfunc6(A, B, C, k2_mesfun6c(D, A, k56_valued_1(A, k1_numbers, k8_lpspace1(A, k5_numbers))))=k5_numbers) ) ) ) ) ) ) ) ).
fof(t59_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [F] :  ( (v2_xxreal_0(F) & v1_xreal_0(F))  =>  (! [G] :  ( (v2_xxreal_0(G) & v1_xreal_0(G))  =>  ( (k3_supinf_2(k2_extreal1(1, F), k2_extreal1(1, G))=1 &  (r2_tarski(D, k1_lpspace2(A, B, C, F)) & r2_tarski(E, k1_lpspace2(A, B, C, G))) )  =>  (r2_tarski(k20_valued_1(A, k1_numbers, k1_numbers, D, E), k9_lpspace1(A, B, C)) & r3_mesfunc6(A, B, C, k20_valued_1(A, k1_numbers, k1_numbers, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [F] :  ( (v2_xxreal_0(F) & v1_xreal_0(F))  =>  (! [G] :  ( (v2_xxreal_0(G) & v1_xreal_0(G))  =>  ~ ( (k3_supinf_2(k2_extreal1(1, F), k2_extreal1(1, G))=1 &  (r2_tarski(D, k1_lpspace2(A, B, C, F)) &  (r2_tarski(E, k1_lpspace2(A, B, C, G)) &  (! [H] :  (v1_xreal_0(H) =>  ~ ( (H=k1_mesfunc6(A, B, C, k2_mesfun6c(F, A, k56_valued_1(A, k1_numbers, D))) &  (? [I] :  (v1_xreal_0(I) &  (I=k1_mesfunc6(A, B, C, k2_mesfun6c(G, A, k56_valued_1(A, k1_numbers, E))) & r1_xxreal_0(k1_mesfunc6(A, B, C, k56_valued_1(A, k1_numbers, k20_valued_1(A, k1_numbers, k1_numbers, D, E))), k3_xcmplx_0(k2_power(H, k2_extreal1(1, F)), k2_power(I, k2_extreal1(1, G))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [F] :  ( (v2_xxreal_0(F) & v1_xreal_0(F))  =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  ( (r1_xxreal_0(1, F) &  (r2_tarski(D, k1_lpspace2(A, B, C, F)) &  (r2_tarski(E, k1_lpspace2(A, B, C, F)) &  (G=k1_mesfunc6(A, B, C, k2_mesfun6c(F, A, k56_valued_1(A, k1_numbers, D))) &  (H=k1_mesfunc6(A, B, C, k2_mesfun6c(F, A, k56_valued_1(A, k1_numbers, E))) & I=k1_mesfunc6(A, B, C, k2_mesfun6c(F, A, k56_valued_1(A, k1_numbers, k3_valued_1(A, k1_numbers, k1_numbers, D, E))))) ) ) ) )  => r1_xxreal_0(k2_power(I, k2_extreal1(1, F)), k2_xcmplx_0(k2_power(G, k2_extreal1(1, F)), k2_power(H, k2_extreal1(1, F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v2_xxreal_0(D) & v1_xreal_0(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(k12_lpspace2(A, B, C, D))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k12_lpspace2(A, B, C, D)))))) )  =>  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  &  (! [G] :  (v7_ordinal1(G) =>  (r2_tarski(k4_mesfunc5(A, k1_numbers, F, G), k1_lpspace2(A, B, C, D)) &  (r2_tarski(k4_mesfunc5(A, k1_numbers, F, G), k1_normsp_0(k12_lpspace2(A, B, C, D), E, G)) &  (k1_normsp_0(k12_lpspace2(A, B, C, D), E, G)=k5_lpspace2(A, B, C, k4_mesfunc5(A, k1_numbers, F, G), D) &  (? [H] :  (v1_xreal_0(H) &  (H=k1_mesfunc6(A, B, C, k2_mesfun6c(D, A, k56_valued_1(A, k1_numbers, k4_mesfunc5(A, k1_numbers, F, G)))) & k2_normsp_0(k12_lpspace2(A, B, C, D), k1_normsp_0(k12_lpspace2(A, B, C, D), E, G))=k2_power(H, k2_extreal1(1, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v2_xxreal_0(D) & v1_xreal_0(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(k12_lpspace2(A, B, C, D))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k12_lpspace2(A, B, C, D)))))) )  =>  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k4_partfun1(A, k1_numbers)) &  (v1_mesfunc8(F, A, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) ) )  &  (! [G] :  (v7_ordinal1(G) =>  (r2_tarski(k4_mesfunc5(A, k1_numbers, F, G), k1_lpspace2(A, B, C, D)) &  (r2_tarski(k4_mesfunc5(A, k1_numbers, F, G), k1_normsp_0(k12_lpspace2(A, B, C, D), E, G)) &  (k1_normsp_0(k12_lpspace2(A, B, C, D), E, G)=k5_lpspace2(A, B, C, k4_mesfunc5(A, k1_numbers, F, G), D) &  (? [H] :  (v1_xreal_0(H) &  (r1_xxreal_0(k5_numbers, H) &  (H=k1_mesfunc6(A, B, C, k2_mesfun6c(D, A, k56_valued_1(A, k1_numbers, k4_mesfunc5(A, k1_numbers, F, G)))) & k2_normsp_0(k12_lpspace2(A, B, C, D), k1_normsp_0(k12_lpspace2(A, B, C, D), E, G))=k2_power(H, k2_extreal1(1, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_lpspace2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v2_comseq_2(k5_normsp_0(A, k3_normsp_1(A, B, C))) & k1_seq_2(k5_normsp_0(A, k3_normsp_1(A, B, C)))=k5_numbers)  =>  (v3_normsp_1(B, A) & k5_normsp_1(A, B)=C) ) ) ) ) ) ) ) ).
fof(t65_lpspace2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ~ ( (v1_rsspace3(B, A) &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_ordinal1) &  (v5_valued_0(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) )  =>  (? [D] :  (v7_ordinal1(D) &  (? [E] :  (v7_ordinal1(E) &  (r1_xxreal_0(k1_recdef_1(C, D), E) & r1_xxreal_0(k2_power(2, k4_xcmplx_0(D)), k2_normsp_0(A, k5_algstr_0(A, k1_normsp_0(A, B, E), k1_normsp_0(A, B, k1_recdef_1(C, D)))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v2_xxreal_0(D) & v1_xreal_0(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  =>  ( (! [F] :  (v7_ordinal1(F) => r2_tarski(k4_mesfunc5(A, k1_numbers, E, F), k1_lpspace2(A, B, C, D))) )  =>  (! [F] :  (v7_ordinal1(F) => r2_tarski(k4_mesfunc5(A, k1_numbers, k2_mesfun9c(A, E), F), k1_lpspace2(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  =>  ( (! [C] :  (v7_ordinal1(C) => v6_supinf_2(k4_mesfunc5(A, k1_numbers, B, C))) )  =>  (! [C] :  (v7_ordinal1(C) => v6_supinf_2(k4_mesfunc5(A, k1_numbers, k2_mesfun9c(A, B), C))) ) ) ) ) ) ) ).
fof(t68_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (v1_mesfunc8(B, A, k1_numbers) &  (r2_tarski(C, k1_relset_1(A, k4_mesfunc5(A, k1_numbers, B, k5_numbers))) &  ( (! [F] :  (v7_ordinal1(F) => v6_supinf_2(k4_mesfunc5(A, k1_numbers, B, F))) )  & r1_xxreal_0(D, E)) ) )  => r1_xxreal_0(k1_funct_1(k4_mesfunc5(A, k1_numbers, k2_mesfun9c(A, B), D), C), k1_funct_1(k4_mesfunc5(A, k1_numbers, k2_mesfun9c(A, B), E), C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t69_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  =>  (v1_mesfunc8(B, A, k1_numbers) => v1_mesfunc8(k5_seqfunc(A, B), A, k1_numbers)) ) ) ) ) ).
fof(t70_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_xreal_0(D) & v1_lpspace2(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(k12_lpspace2(A, B, C, D))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k12_lpspace2(A, B, C, D)))))) )  =>  (v1_rsspace3(E, k12_lpspace2(A, B, C, D)) => v3_normsp_1(E, k12_lpspace2(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  => k14_lpspace1(A, B, C)=k6_lpspace2(A, B, C, 1)) ) ) ) ) ) ).
fof(t72_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  => r1_funct_2(k2_zfmisc_1(k14_lpspace1(A, B, C), k14_lpspace1(A, B, C)), k14_lpspace1(A, B, C), k2_zfmisc_1(k6_lpspace2(A, B, C, 1), k6_lpspace2(A, B, C, 1)), k6_lpspace2(A, B, C, 1), k15_lpspace1(A, B, C), k7_lpspace2(A, B, C, 1))) ) ) ) ) ) ).
fof(t73_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  => k16_lpspace1(A, B, C)=k8_lpspace2(A, B, C, 1)) ) ) ) ) ) ).
fof(t74_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  => r1_funct_2(k2_zfmisc_1(k1_numbers, k14_lpspace1(A, B, C)), k14_lpspace1(A, B, C), k2_zfmisc_1(k1_numbers, k6_lpspace2(A, B, C, 1)), k6_lpspace2(A, B, C, 1), k17_lpspace1(A, B, C), k9_lpspace2(A, B, C, 1))) ) ) ) ) ) ).
fof(t75_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  => k18_lpspace1(A, B, C)=k10_lpspace2(A, B, C, 1)) ) ) ) ) ) ).
fof(t76_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  => r1_funct_2(u1_struct_0(k18_lpspace1(A, B, C)), k1_numbers, u1_struct_0(k10_lpspace2(A, B, C, 1)), k1_numbers, k19_lpspace1(A, B, C), k11_lpspace2(A, B, C, 1))) ) ) ) ) ) ).
fof(t77_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  => k20_lpspace1(A, B, C)=k12_lpspace2(A, B, C, 1)) ) ) ) ) ) ).
fof(dt_k1_lpspace2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  &  (v2_xxreal_0(D) & v1_xreal_0(D)) ) ) )  =>  ( ~ (v1_xboole_0(k1_lpspace2(A, B, C, D)))  & m1_subset_1(k1_lpspace2(A, B, C, D), k1_zfmisc_1(u1_struct_0(k7_lpspace1(A))))) ) ) ).
fof(dt_k2_lpspace2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  &  (v2_xxreal_0(D) & v1_xreal_0(D)) ) ) )  =>  ( ~ (v2_struct_0(k2_lpspace2(A, B, C, D)))  &  (v1_rlvect_1(k2_lpspace2(A, B, C, D)) &  (v2_rlvect_1(k2_lpspace2(A, B, C, D)) &  (v3_rlvect_1(k2_lpspace2(A, B, C, D)) &  (v4_rlvect_1(k2_lpspace2(A, B, C, D)) &  (v5_rlvect_1(k2_lpspace2(A, B, C, D)) &  (v6_rlvect_1(k2_lpspace2(A, B, C, D)) &  (v7_rlvect_1(k2_lpspace2(A, B, C, D)) &  (v8_rlvect_1(k2_lpspace2(A, B, C, D)) & l1_rlvect_1(k2_lpspace2(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k3_lpspace2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  &  (v2_xxreal_0(D) & v1_xreal_0(D)) ) ) )  =>  ( ~ (v1_xboole_0(k3_lpspace2(A, B, C, D)))  & m1_subset_1(k3_lpspace2(A, B, C, D), k1_zfmisc_1(u1_struct_0(k2_lpspace2(A, B, C, D))))) ) ) ).
fof(dt_k4_lpspace2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  &  (v2_xxreal_0(D) & v1_xreal_0(D)) ) ) )  =>  ( ~ (v2_struct_0(k4_lpspace2(A, B, C, D)))  & l1_rlvect_1(k4_lpspace2(A, B, C, D))) ) ) ).
fof(dt_k5_lpspace2, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  &  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  &  (v2_xxreal_0(E) & v1_xreal_0(E)) ) ) ) )  => m1_subset_1(k5_lpspace2(A, B, C, D, E), k1_zfmisc_1(k1_lpspace2(A, B, C, E)))) ) ).
fof(dt_k6_lpspace2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  &  (v2_xxreal_0(D) & v1_xreal_0(D)) ) ) )  =>  ( ~ (v1_xboole_0(k6_lpspace2(A, B, C, D)))  & m1_subset_1(k6_lpspace2(A, B, C, D), k1_zfmisc_1(k1_zfmisc_1(k1_lpspace2(A, B, C, D))))) ) ) ).
fof(dt_k7_lpspace2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  &  (v2_xxreal_0(D) & v1_xreal_0(D)) ) ) )  =>  (v1_funct_1(k7_lpspace2(A, B, C, D)) &  (v1_funct_2(k7_lpspace2(A, B, C, D), k2_zfmisc_1(k6_lpspace2(A, B, C, D), k6_lpspace2(A, B, C, D)), k6_lpspace2(A, B, C, D)) & m1_subset_1(k7_lpspace2(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_lpspace2(A, B, C, D), k6_lpspace2(A, B, C, D)), k6_lpspace2(A, B, C, D))))) ) ) ) ).
fof(dt_k8_lpspace2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  &  (v2_xxreal_0(D) & v1_xreal_0(D)) ) ) )  => m2_subset_1(k8_lpspace2(A, B, C, D), k1_zfmisc_1(k1_lpspace2(A, B, C, D)), k6_lpspace2(A, B, C, D))) ) ).
fof(dt_k9_lpspace2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  &  (v2_xxreal_0(D) & v1_xreal_0(D)) ) ) )  =>  (v1_funct_1(k9_lpspace2(A, B, C, D)) &  (v1_funct_2(k9_lpspace2(A, B, C, D), k2_zfmisc_1(k1_numbers, k6_lpspace2(A, B, C, D)), k6_lpspace2(A, B, C, D)) & m1_subset_1(k9_lpspace2(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k6_lpspace2(A, B, C, D)), k6_lpspace2(A, B, C, D))))) ) ) ) ).
fof(dt_k10_lpspace2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  &  (v2_xxreal_0(D) & v1_xreal_0(D)) ) ) )  =>  (v1_rlvect_1(k10_lpspace2(A, B, C, D)) & l1_rlvect_1(k10_lpspace2(A, B, C, D))) ) ) ).
fof(dt_k11_lpspace2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  &  (v2_xxreal_0(D) & v1_xreal_0(D)) ) ) )  =>  (v1_funct_1(k11_lpspace2(A, B, C, D)) &  (v1_funct_2(k11_lpspace2(A, B, C, D), u1_struct_0(k10_lpspace2(A, B, C, D)), k1_numbers) & m1_subset_1(k11_lpspace2(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_lpspace2(A, B, C, D)), k1_numbers)))) ) ) ) ).
fof(dt_k12_lpspace2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  &  (v2_xxreal_0(D) & v1_xreal_0(D)) ) ) )  =>  ( ~ (v2_struct_0(k12_lpspace2(A, B, C, D)))  & l1_normsp_1(k12_lpspace2(A, B, C, D))) ) ) ).
fof(d2_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v2_xxreal_0(D) & v1_xreal_0(D))  => k1_lpspace2(A, B, C, D)=a_4_0_lpspace2(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(d4_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v2_xxreal_0(D) & v1_xreal_0(D))  => k3_lpspace2(A, B, C, D)=a_4_1_lpspace2(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(d6_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v2_xxreal_0(E) & v1_xreal_0(E))  => k5_lpspace2(A, B, C, D, E)=a_5_0_lpspace2(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(d7_lpspace2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v2_xxreal_0(D) & v1_xreal_0(D))  => k6_lpspace2(A, B, C, D)=a_4_2_lpspace2(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_lpspace2, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, C, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  &  (v2_xxreal_0(E) & v1_xreal_0(E)) ) ) )  =>  (r2_hidden(A, a_4_0_lpspace2(B, C, D, E)) <=>  (? [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  &  (A=F &  (? [G] :  (m2_subset_1(G, k1_zfmisc_1(B), C) &  (k1_funct_1(D, k3_subset_1(B, G))=k5_numbers &  (k1_relset_1(B, F)=G &  (r1_mesfunc6(B, C, F, G) & r3_mesfunc6(B, C, D, k2_mesfun6c(E, B, k56_valued_1(B, k1_numbers, F)))) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_1_lpspace2, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, C, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  &  (v2_xxreal_0(E) & v1_xreal_0(E)) ) ) )  =>  (r2_hidden(A, a_4_1_lpspace2(B, C, D, E)) <=>  (? [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  &  (A=F &  (r2_tarski(F, k1_lpspace2(B, C, D, E)) & r1_lpspace1(B, C, D, F, k8_lpspace1(B, k5_numbers))) ) ) ) ) ) ) ).
fof(fraenkel_a_5_0_lpspace2, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, C, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  &  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  &  (v2_xxreal_0(F) & v1_xreal_0(F)) ) ) ) )  =>  (r2_hidden(A, a_5_0_lpspace2(B, C, D, E, F)) <=>  (? [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  &  (A=G &  (r2_tarski(G, k1_lpspace2(B, C, D, F)) & r1_lpspace1(B, C, D, E, G)) ) ) ) ) ) ) ).
fof(fraenkel_a_4_2_lpspace2, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, C, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  &  (v2_xxreal_0(E) & v1_xreal_0(E)) ) ) )  =>  (r2_hidden(A, a_4_2_lpspace2(B, C, D, E)) <=>  (? [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  &  (A=k5_lpspace2(B, C, D, F, E) & r2_tarski(F, k1_lpspace2(B, C, D, E))) ) ) ) ) ) ).
fof(fc1_ltlaxio1, axiom, v2_ltlaxio1(k13_ltlaxio1)).
fof(fc2_ltlaxio1, axiom,  ~ (v1_xboole_0(k13_ltlaxio1)) ).
fof(t1_ltlaxio1, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) =>  (! [C] :  (v1_xboolean(C) => k6_xboolean(k6_xboolean(A, k4_xboolean(B, C)), k6_xboolean(A, B))=1) ) ) ) ) ) ).
fof(t2_ltlaxio1, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) =>  (! [C] :  (v1_xboolean(C) => k6_xboolean(k6_xboolean(A, k6_xboolean(B, C)), k6_xboolean(k4_xboolean(A, B), C))=1) ) ) ) ) ) ).
fof(t3_ltlaxio1, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) =>  (! [C] :  (v1_xboolean(C) => k6_xboolean(k6_xboolean(k4_xboolean(A, B), C), k6_xboolean(A, k6_xboolean(B, C)))=1) ) ) ) ) ) ).
fof(t4_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  ~ ( ( ~ (A=k2_hilbert1)  &  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ( ~ (A=k1_hilbert2(B))  &  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (! [D] :  (m1_subset_1(D, k1_hilbert1) =>  ( ~ (A=k3_hilbert1(C, D))  &  (! [E] :  (m1_subset_1(E, k1_hilbert1) =>  (! [F] :  (m1_subset_1(F, k1_hilbert1) =>  ~ (A=k4_hilbert1(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) => k1_ltlaxio1(A)=k3_hilbert1(A, k2_hilbert1)) ) ).
fof(d2_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) => k2_ltlaxio1(A)=k4_hilbert1(k2_hilbert1, A)) ) ).
fof(d3_ltlaxio1, axiom, k3_ltlaxio1=k1_ltlaxio1(k2_hilbert1)).
fof(d4_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) => k4_ltlaxio1(A, B)=k1_ltlaxio1(k3_hilbert1(A, k1_ltlaxio1(B)))) ) ) ) ).
fof(d5_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) => k5_ltlaxio1(A, B)=k1_ltlaxio1(k4_ltlaxio1(k1_ltlaxio1(A), k1_ltlaxio1(B)))) ) ) ) ).
fof(d6_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) => k6_ltlaxio1(A)=k1_ltlaxio1(k5_ltlaxio1(k1_ltlaxio1(A), k4_hilbert1(k3_ltlaxio1, k1_ltlaxio1(A))))) ) ).
fof(d7_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) => k7_ltlaxio1(A)=k1_ltlaxio1(k6_ltlaxio1(k1_ltlaxio1(A)))) ) ).
fof(d8_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) => k8_ltlaxio1(A, B)=k5_ltlaxio1(B, k4_ltlaxio1(A, k4_hilbert1(A, B)))) ) ) ) ).
fof(d9_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) => k9_ltlaxio1(A, B)=k1_ltlaxio1(k8_ltlaxio1(k1_ltlaxio1(A), k1_ltlaxio1(B)))) ) ) ) ).
fof(d10_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) =>  (A=k10_ltlaxio1 <=>  (! [B] :  (r2_tarski(B, A) <=>  (? [C] :  (m1_subset_1(C, k4_ordinal1) & B=k1_hilbert2(C)) ) ) ) ) ) ) ).
fof(d11_ltlaxio1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1))))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1)))) )  =>  (B=k11_ltlaxio1(A) <=>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, B, k1_domain_1(k4_ordinal1, k1_hilbert1, C, k2_hilbert1))=k5_ordinal1 &  ( (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, B, k1_domain_1(k4_ordinal1, k1_hilbert1, C, k1_hilbert2(D)))=1 <=> r2_tarski(k1_hilbert2(D), k3_funct_2(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1), A, C))) ) )  &  (! [D] :  (m1_subset_1(D, k1_hilbert1) =>  (! [E] :  (m1_subset_1(E, k1_hilbert1) =>  (k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, B, k1_domain_1(k4_ordinal1, k1_hilbert1, C, k3_hilbert1(D, E)))=k6_xboolean(k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, B, k1_domain_1(k4_ordinal1, k1_hilbert1, C, D)), k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, B, k1_domain_1(k4_ordinal1, k1_hilbert1, C, E))) &  ( ~ ( (k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, B, k1_domain_1(k4_ordinal1, k1_hilbert1, C, k4_hilbert1(D, E)))=1 &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  ~ ( ( ~ (r1_xxreal_0(F, k5_ordinal1))  &  (k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, B, k1_domain_1(k4_ordinal1, k1_hilbert1, k1_nat_1(C, F), E))=1 &  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  (r1_xxreal_0(1, G) =>  (r1_xxreal_0(F, G) | k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, B, k1_domain_1(k4_ordinal1, k1_hilbert1, k1_nat_1(C, G), D))=1) ) ) ) ) ) ) ) ) ) )  &  ( (? [F] :  (m1_subset_1(F, k4_ordinal1) &  ( ~ (r1_xxreal_0(F, k5_ordinal1))  &  (k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, B, k1_domain_1(k4_ordinal1, k1_hilbert1, k1_nat_1(C, F), E))=1 &  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  (r1_xxreal_0(1, G) =>  (r1_xxreal_0(F, G) | k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, B, k1_domain_1(k4_ordinal1, k1_hilbert1, k1_nat_1(C, G), D))=1) ) ) ) ) ) ) )  => k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, B, k1_domain_1(k4_ordinal1, k1_hilbert1, C, k4_hilbert1(D, E)))=1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1))))) )  =>  (k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(C), k1_domain_1(k4_ordinal1, k1_hilbert1, B, k1_ltlaxio1(A)))=1 <=> k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(C), k1_domain_1(k4_ordinal1, k1_hilbert1, B, A))=k5_ordinal1) ) ) ) ) ) ) ).
fof(t6_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1))))) )  => k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(B), k1_domain_1(k4_ordinal1, k1_hilbert1, A, k3_ltlaxio1))=1) ) ) ) ).
fof(t7_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1))))) )  =>  (k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(D), k1_domain_1(k4_ordinal1, k1_hilbert1, C, k4_ltlaxio1(A, B)))=1 <=>  (k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(D), k1_domain_1(k4_ordinal1, k1_hilbert1, C, A))=1 & k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(D), k1_domain_1(k4_ordinal1, k1_hilbert1, C, B))=1) ) ) ) ) ) ) ) ) ) ).
fof(t8_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1))))) )  =>  (k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(D), k1_domain_1(k4_ordinal1, k1_hilbert1, C, k5_ltlaxio1(A, B)))=1 <=>  (k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(D), k1_domain_1(k4_ordinal1, k1_hilbert1, C, A))=1 | k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(D), k1_domain_1(k4_ordinal1, k1_hilbert1, C, B))=1) ) ) ) ) ) ) ) ) ) ).
fof(t9_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1))))) )  => k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(C), k1_domain_1(k4_ordinal1, k1_hilbert1, B, k2_ltlaxio1(A)))=k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(C), k1_domain_1(k4_ordinal1, k1_hilbert1, k1_nat_1(B, 1), A))) ) ) ) ) ) ).
fof(t10_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1))))) )  =>  (k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(C), k1_domain_1(k4_ordinal1, k1_hilbert1, B, k6_ltlaxio1(A)))=1 <=>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(C), k1_domain_1(k4_ordinal1, k1_hilbert1, k1_nat_1(B, D), A))=1) ) ) ) ) ) ) ) ) ).
fof(t11_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1))))) )  =>  (k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(C), k1_domain_1(k4_ordinal1, k1_hilbert1, B, k7_ltlaxio1(A)))=1 <=>  (? [D] :  (m1_subset_1(D, k4_ordinal1) & k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(C), k1_domain_1(k4_ordinal1, k1_hilbert1, k1_nat_1(B, D), A))=1) ) ) ) ) ) ) ) ) ).
fof(t12_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1))))) )  =>  (k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(D), k1_domain_1(k4_ordinal1, k1_hilbert1, C, k8_ltlaxio1(A, B)))=1 <=>  (? [E] :  (m1_subset_1(E, k4_ordinal1) &  (k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(D), k1_domain_1(k4_ordinal1, k1_hilbert1, k1_nat_1(C, E), B))=1 &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  ( ~ (r1_xxreal_0(E, F))  => k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(D), k1_domain_1(k4_ordinal1, k1_hilbert1, k1_nat_1(C, F), A))=1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1))))) )  =>  (k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(D), k1_domain_1(k4_ordinal1, k1_hilbert1, C, k9_ltlaxio1(A, B)))=1 <=>  ~ ( ( (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ~ ( (k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(D), k1_domain_1(k4_ordinal1, k1_hilbert1, k1_nat_1(C, E), A))=1 &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r1_xxreal_0(F, E) => k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(D), k1_domain_1(k4_ordinal1, k1_hilbert1, k1_nat_1(C, F), B))=1) ) ) ) ) ) )  &  ~ ( (! [E] :  (m1_subset_1(E, k4_ordinal1) => k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(D), k1_domain_1(k4_ordinal1, k1_hilbert1, k1_nat_1(C, E), B))=1) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1))))) )  => k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(C), k1_domain_1(k4_ordinal1, k1_hilbert1, B, k1_ltlaxio1(k2_ltlaxio1(A))))=k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(C), k1_domain_1(k4_ordinal1, k1_hilbert1, B, k2_ltlaxio1(k1_ltlaxio1(A))))) ) ) ) ) ) ).
fof(t15_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1))))) )  => k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(C), k1_domain_1(k4_ordinal1, k1_hilbert1, B, k3_hilbert1(k1_ltlaxio1(k2_ltlaxio1(A)), k2_ltlaxio1(k1_ltlaxio1(A)))))=1) ) ) ) ) ) ).
fof(t16_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1))))) )  => k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(C), k1_domain_1(k4_ordinal1, k1_hilbert1, B, k3_hilbert1(k2_ltlaxio1(k1_ltlaxio1(A)), k1_ltlaxio1(k2_ltlaxio1(A)))))=1) ) ) ) ) ) ).
fof(t17_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1))))) )  => k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(D), k1_domain_1(k4_ordinal1, k1_hilbert1, C, k3_hilbert1(k2_ltlaxio1(k3_hilbert1(A, B)), k3_hilbert1(k2_ltlaxio1(A), k2_ltlaxio1(B)))))=1) ) ) ) ) ) ) ) ).
fof(t18_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1))))) )  => k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(C), k1_domain_1(k4_ordinal1, k1_hilbert1, B, k3_hilbert1(k6_ltlaxio1(A), k4_ltlaxio1(A, k2_ltlaxio1(k6_ltlaxio1(A))))))=1) ) ) ) ) ) ).
fof(t19_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1))))) )  => k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(D), k1_domain_1(k4_ordinal1, k1_hilbert1, C, k3_hilbert1(k4_hilbert1(A, B), k5_ltlaxio1(k2_ltlaxio1(B), k2_ltlaxio1(k4_ltlaxio1(A, k4_hilbert1(A, B)))))))=1) ) ) ) ) ) ) ) ).
fof(t20_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1))))) )  => k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(D), k1_domain_1(k4_ordinal1, k1_hilbert1, C, k3_hilbert1(k5_ltlaxio1(k2_ltlaxio1(B), k2_ltlaxio1(k4_ltlaxio1(A, k4_hilbert1(A, B)))), k4_hilbert1(A, B))))=1) ) ) ) ) ) ) ) ).
fof(t21_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1))))) )  => k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(D), k1_domain_1(k4_ordinal1, k1_hilbert1, C, k3_hilbert1(k4_hilbert1(A, B), k2_ltlaxio1(k7_ltlaxio1(B)))))=1) ) ) ) ) ) ) ) ).
fof(d12_ltlaxio1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1))))) )  =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (r1_ltlaxio1(A, B) <=>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(A), k1_domain_1(k4_ordinal1, k1_hilbert1, C, B))=1) ) ) ) ) ) ) ).
fof(d13_ltlaxio1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1))))) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  (r2_ltlaxio1(A, B) <=>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (r2_tarski(C, B) => r1_ltlaxio1(A, C)) ) ) ) ) ) ) ) ).
fof(d14_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (r3_ltlaxio1(A, B) <=>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1))))) )  =>  (r2_ltlaxio1(C, A) => r1_ltlaxio1(C, B)) ) ) ) ) ) ) ) ).
fof(t22_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1))))) )  =>  ( (r2_ltlaxio1(C, A) & r2_ltlaxio1(C, B))  <=> r2_ltlaxio1(C, k4_subset_1(k1_hilbert1, A, B))) ) ) ) ) ) ) ).
fof(t23_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1))))) )  =>  (r1_ltlaxio1(B, A) <=> r2_ltlaxio1(B, k6_domain_1(k1_hilbert1, A))) ) ) ) ) ).
fof(t24_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_hilbert1)) =>  ( (r3_ltlaxio1(C, A) & r3_ltlaxio1(C, k3_hilbert1(A, B)))  => r3_ltlaxio1(C, B)) ) ) ) ) ) ) ).
fof(t25_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  (r3_ltlaxio1(B, A) => r3_ltlaxio1(B, k2_ltlaxio1(A))) ) ) ) ) ).
fof(t26_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  (r3_ltlaxio1(B, A) => r3_ltlaxio1(B, k6_ltlaxio1(A))) ) ) ) ) ).
fof(t27_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_hilbert1)) =>  ( (r3_ltlaxio1(C, k3_hilbert1(A, B)) & r3_ltlaxio1(C, k3_hilbert1(A, k2_ltlaxio1(A))))  => r3_ltlaxio1(C, k3_hilbert1(A, k6_ltlaxio1(B)))) ) ) ) ) ) ) ).
fof(t28_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1))))) )  => k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(k7_nat_1(k1_zfmisc_1(k10_ltlaxio1), D, B)), k1_domain_1(k4_ordinal1, k1_hilbert1, C, A))=k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(D), k1_domain_1(k4_ordinal1, k1_hilbert1, k1_nat_1(B, C), A))) ) ) ) ) ) ) ) ).
fof(t29_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1))))) )  =>  (r2_ltlaxio1(C, A) => r2_ltlaxio1(k7_nat_1(k1_zfmisc_1(k10_ltlaxio1), C, B), A)) ) ) ) ) ) ) ).
fof(t30_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_hilbert1)) =>  (r3_ltlaxio1(k4_subset_1(k1_hilbert1, C, k6_domain_1(k1_hilbert1, A)), B) <=> r3_ltlaxio1(C, k3_hilbert1(k6_ltlaxio1(A), B))) ) ) ) ) ) ) ).
fof(d15_ltlaxio1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k1_hilbert1, k5_margrel1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_hilbert1, k5_margrel1)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_hilbert1, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_hilbert1, k5_margrel1)))) )  =>  (B=k12_ltlaxio1(A) <=>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (! [D] :  (m1_subset_1(D, k1_hilbert1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (k3_funct_2(k1_hilbert1, k5_margrel1, B, k2_hilbert1)=k5_ordinal1 &  (k3_funct_2(k1_hilbert1, k5_margrel1, B, k1_hilbert2(E))=k3_funct_2(k1_hilbert1, k5_margrel1, A, k1_hilbert2(E)) &  (k3_funct_2(k1_hilbert1, k5_margrel1, B, k3_hilbert1(C, D))=k6_xboolean(k3_funct_2(k1_hilbert1, k5_margrel1, B, C), k3_funct_2(k1_hilbert1, k5_margrel1, B, D)) & k3_funct_2(k1_hilbert1, k5_margrel1, B, k4_hilbert1(C, D))=k3_funct_2(k1_hilbert1, k5_margrel1, A, k4_hilbert1(C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_ltlaxio1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k1_hilbert1, k5_margrel1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_hilbert1, k5_margrel1)))) )  =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) => k3_funct_2(k1_hilbert1, k5_margrel1, k12_ltlaxio1(A), k4_ltlaxio1(B, C))=k9_margrel1(k3_funct_2(k1_hilbert1, k5_margrel1, k12_ltlaxio1(A), B), k3_funct_2(k1_hilbert1, k5_margrel1, k12_ltlaxio1(A), C))) ) ) ) ) ) ).
fof(t32_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_hilbert1, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_hilbert1, k5_margrel1)))) )  =>  ( (! [E] :  (r2_hidden(E, k1_hilbert1) => k1_funct_1(D, E)=k1_funct_1(k11_ltlaxio1(C), k4_tarski(B, E))) )  => k3_funct_2(k1_hilbert1, k5_margrel1, k12_ltlaxio1(D), A)=k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(C), k1_domain_1(k4_ordinal1, k1_hilbert1, B, A))) ) ) ) ) ) ) ) ) ).
fof(d16_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (v1_ltlaxio1(A) <=>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_hilbert1, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_hilbert1, k5_margrel1)))) )  => k3_funct_2(k1_hilbert1, k5_margrel1, k12_ltlaxio1(B), A)=1) ) ) ) ) ).
fof(t33_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  (v1_ltlaxio1(A) => r3_ltlaxio1(B, A)) ) ) ) ) ).
fof(d17_ltlaxio1, axiom,  (! [A] :  (v2_ltlaxio1(A) <=>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  ( (v1_ltlaxio1(B) => r2_tarski(B, A))  &  (r2_tarski(k3_hilbert1(k1_ltlaxio1(k2_ltlaxio1(B)), k2_ltlaxio1(k1_ltlaxio1(B))), A) &  (r2_tarski(k3_hilbert1(k2_ltlaxio1(k1_ltlaxio1(B)), k1_ltlaxio1(k2_ltlaxio1(B))), A) &  (r2_tarski(k3_hilbert1(k2_ltlaxio1(k3_hilbert1(B, C)), k3_hilbert1(k2_ltlaxio1(B), k2_ltlaxio1(C))), A) &  (r2_tarski(k3_hilbert1(k6_ltlaxio1(B), k4_ltlaxio1(B, k2_ltlaxio1(k6_ltlaxio1(B)))), A) &  (r2_tarski(k3_hilbert1(k4_hilbert1(B, C), k5_ltlaxio1(k2_ltlaxio1(C), k2_ltlaxio1(k4_ltlaxio1(B, k4_hilbert1(B, C))))), A) &  (r2_tarski(k3_hilbert1(k5_ltlaxio1(k2_ltlaxio1(C), k2_ltlaxio1(k4_ltlaxio1(B, k4_hilbert1(B, C)))), k4_hilbert1(B, C)), A) & r2_tarski(k3_hilbert1(k4_hilbert1(B, C), k2_ltlaxio1(k7_ltlaxio1(C))), A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) =>  (A=k13_ltlaxio1 <=>  (v2_ltlaxio1(A) &  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  (v2_ltlaxio1(B) => r1_tarski(A, B)) ) ) ) ) ) ) ).
fof(t34_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) => r2_tarski(k3_hilbert1(A, k3_hilbert1(B, A)), k13_ltlaxio1)) ) ) ) ).
fof(t35_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) => r2_tarski(k3_hilbert1(k3_hilbert1(A, k3_hilbert1(B, C)), k3_hilbert1(k3_hilbert1(A, B), k3_hilbert1(A, C))), k13_ltlaxio1)) ) ) ) ) ) ).
fof(d19_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (r4_ltlaxio1(A, B) <=> B=k2_ltlaxio1(A)) ) ) ) ) ).
fof(d20_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (r5_ltlaxio1(A, B, C) <=> B=k3_hilbert1(A, C)) ) ) ) ) ) ) ).
fof(d21_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (r6_ltlaxio1(A, B, C) <=>  (? [D] :  (m1_subset_1(D, k1_hilbert1) &  (? [E] :  (m1_subset_1(E, k1_hilbert1) &  (A=k3_hilbert1(D, E) &  (B=k3_hilbert1(D, k2_ltlaxio1(D)) & C=k3_hilbert1(D, k6_ltlaxio1(E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d22_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (v3_ltlaxio1(A) <=>  (? [B] :  (m1_subset_1(B, k1_hilbert1) & A=k3_hilbert1(k1_ltlaxio1(k2_ltlaxio1(B)), k2_ltlaxio1(k1_ltlaxio1(B)))) ) ) ) ) ).
fof(d23_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (v4_ltlaxio1(A) <=>  (? [B] :  (m1_subset_1(B, k1_hilbert1) & A=k3_hilbert1(k2_ltlaxio1(k1_ltlaxio1(B)), k1_ltlaxio1(k2_ltlaxio1(B)))) ) ) ) ) ).
fof(d24_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (v5_ltlaxio1(A) <=>  (? [B] :  (m1_subset_1(B, k1_hilbert1) &  (? [C] :  (m1_subset_1(C, k1_hilbert1) & A=k3_hilbert1(k2_ltlaxio1(k3_hilbert1(B, C)), k3_hilbert1(k2_ltlaxio1(B), k2_ltlaxio1(C)))) ) ) ) ) ) ) ).
fof(d25_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (v6_ltlaxio1(A) <=>  (? [B] :  (m1_subset_1(B, k1_hilbert1) & A=k3_hilbert1(k6_ltlaxio1(B), k4_ltlaxio1(B, k2_ltlaxio1(k6_ltlaxio1(B))))) ) ) ) ) ).
fof(d26_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (v7_ltlaxio1(A) <=>  (? [B] :  (m1_subset_1(B, k1_hilbert1) &  (? [C] :  (m1_subset_1(C, k1_hilbert1) & A=k3_hilbert1(k4_hilbert1(B, C), k5_ltlaxio1(k2_ltlaxio1(C), k2_ltlaxio1(k4_ltlaxio1(B, k4_hilbert1(B, C)))))) ) ) ) ) ) ) ).
fof(d27_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (v8_ltlaxio1(A) <=>  (? [B] :  (m1_subset_1(B, k1_hilbert1) &  (? [C] :  (m1_subset_1(C, k1_hilbert1) & A=k3_hilbert1(k5_ltlaxio1(k2_ltlaxio1(C), k2_ltlaxio1(k4_ltlaxio1(B, k4_hilbert1(B, C)))), k4_hilbert1(B, C))) ) ) ) ) ) ) ).
fof(d28_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (v9_ltlaxio1(A) <=>  (? [B] :  (m1_subset_1(B, k1_hilbert1) &  (? [C] :  (m1_subset_1(C, k1_hilbert1) & A=k3_hilbert1(k4_hilbert1(B, C), k2_ltlaxio1(k7_ltlaxio1(C)))) ) ) ) ) ) ) ).
fof(t36_ltlaxio1, axiom,  (! [A] :  (m2_subset_1(A, k1_hilbert1, k13_ltlaxio1) =>  ~ ( ( ~ (v1_ltlaxio1(A))  &  ( ~ (v3_ltlaxio1(A))  &  ( ~ (v4_ltlaxio1(A))  &  ( ~ (v5_ltlaxio1(A))  &  ( ~ (v6_ltlaxio1(A))  &  ( ~ (v7_ltlaxio1(A))  &  ( ~ (v8_ltlaxio1(A))  &  ~ (v9_ltlaxio1(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  ( ~ ( ( ~ (v3_ltlaxio1(A))  &  ( ~ (v4_ltlaxio1(A))  &  ( ~ (v5_ltlaxio1(A))  &  ( ~ (v6_ltlaxio1(A))  &  ( ~ (v7_ltlaxio1(A))  &  ( ~ (v8_ltlaxio1(A))  &  ~ (v9_ltlaxio1(A)) ) ) ) ) ) ) )  => r3_ltlaxio1(B, A)) ) ) ) ) ).
fof(d29_ltlaxio1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_hilbert1)) =>  (r7_ltlaxio1(A, B, C) <=>  ~ ( ( ~ (r2_tarski(k1_funct_1(B, A), k13_ltlaxio1))  &  ( ~ (r2_tarski(k1_funct_1(B, A), C))  &  ( (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, D) &  ( ~ (r1_xxreal_0(A, D))  &  (r1_xxreal_0(1, E) &  ( ~ (r1_xxreal_0(A, E))  &  (r5_ltlaxio1(k7_partfun1(k1_hilbert1, B, D), k7_partfun1(k1_hilbert1, B, E), k7_partfun1(k1_hilbert1, B, A)) | r6_ltlaxio1(k7_partfun1(k1_hilbert1, B, D), k7_partfun1(k1_hilbert1, B, E), k7_partfun1(k1_hilbert1, B, A))) ) ) ) ) ) ) ) ) )  &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(1, D) &  ( ~ (r1_xxreal_0(A, D))  & r4_ltlaxio1(k7_partfun1(k1_hilbert1, B, D), k7_partfun1(k1_hilbert1, B, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d30_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (r8_ltlaxio1(A, B) <=>  (? [C] :  (m2_finseq_1(C, k1_hilbert1) &  (k1_funct_1(C, k3_finseq_1(C))=B &  (r1_xxreal_0(1, k3_finseq_1(C)) &  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, k3_finseq_1(C)))  => r7_ltlaxio1(D, C, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) =>  (! [B] :  (m2_finseq_1(B, k1_hilbert1) =>  (! [C] :  (m2_finseq_1(C, k1_hilbert1) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(k1_nat_1(E, k3_finseq_1(B)), k3_finseq_1(C)) &  ( (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(1, F) & r1_xxreal_0(F, k3_finseq_1(B)))  => k1_funct_1(B, F)=k1_funct_1(C, k2_xcmplx_0(F, E))) ) )  &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k3_finseq_1(B)) & r7_ltlaxio1(D, B, A)) ) ) )  => r7_ltlaxio1(k2_xcmplx_0(D, E), C, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) =>  (! [B] :  (m2_finseq_1(B, k1_hilbert1) =>  (! [C] :  (m2_finseq_1(C, k1_hilbert1) =>  (! [D] :  (m2_finseq_1(D, k1_hilbert1) =>  ( (D=k8_finseq_1(k1_hilbert1, B, C) &  (r1_xxreal_0(1, k3_finseq_1(B)) &  (r1_xxreal_0(1, k3_finseq_1(C)) &  ( (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, k3_finseq_1(B)))  => r7_ltlaxio1(E, B, A)) ) )  &  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, k3_finseq_1(C)))  => r7_ltlaxio1(E, C, A)) ) ) ) ) ) )  =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, k3_finseq_1(D)))  => r7_ltlaxio1(E, D, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  (! [C] :  (m2_finseq_1(C, k1_hilbert1) =>  (! [D] :  (m2_finseq_1(D, k1_hilbert1) =>  ( (C=k8_finseq_1(k1_hilbert1, D, k12_finseq_1(k1_hilbert1, A)) &  (r1_xxreal_0(1, k3_finseq_1(D)) &  ( (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, k3_finseq_1(D)))  => r7_ltlaxio1(E, D, B)) ) )  & r7_ltlaxio1(k3_finseq_1(C), C, B)) ) )  =>  ( (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, k3_finseq_1(C)))  => r7_ltlaxio1(E, C, B)) ) )  & r8_ltlaxio1(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(t41_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  (r8_ltlaxio1(B, A) => r3_ltlaxio1(B, A)) ) ) ) ) ).
fof(t42_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  ( (r2_tarski(A, k13_ltlaxio1) | r2_tarski(A, B))  => r8_ltlaxio1(B, A)) ) ) ) ) ).
fof(t43_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_hilbert1)) =>  ( (r8_ltlaxio1(C, A) & r8_ltlaxio1(C, k3_hilbert1(A, B)))  => r8_ltlaxio1(C, B)) ) ) ) ) ) ) ).
fof(t44_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  (r8_ltlaxio1(B, A) => r8_ltlaxio1(B, k2_ltlaxio1(A))) ) ) ) ) ).
fof(t45_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_hilbert1)) =>  ( (r8_ltlaxio1(C, k3_hilbert1(A, B)) & r8_ltlaxio1(C, k3_hilbert1(A, k2_ltlaxio1(A))))  => r8_ltlaxio1(C, k3_hilbert1(A, k6_ltlaxio1(B)))) ) ) ) ) ) ) ).
fof(t46_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_hilbert1)) =>  (r8_ltlaxio1(D, k3_hilbert1(C, k4_ltlaxio1(A, B))) =>  (r8_ltlaxio1(D, k3_hilbert1(C, A)) & r8_ltlaxio1(D, k3_hilbert1(C, B))) ) ) ) ) ) ) ) ) ) ).
fof(t47_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_hilbert1)) =>  ( (r8_ltlaxio1(D, k3_hilbert1(A, B)) & r8_ltlaxio1(D, k3_hilbert1(B, C)))  => r8_ltlaxio1(D, k3_hilbert1(A, C))) ) ) ) ) ) ) ) ) ).
fof(t48_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_hilbert1)) =>  (r8_ltlaxio1(D, k3_hilbert1(A, k3_hilbert1(B, C))) => r8_ltlaxio1(D, k3_hilbert1(k4_ltlaxio1(A, B), C))) ) ) ) ) ) ) ) ) ).
fof(t49_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_hilbert1)) =>  (r8_ltlaxio1(D, k3_hilbert1(k4_ltlaxio1(A, B), C)) => r8_ltlaxio1(D, k3_hilbert1(A, k3_hilbert1(B, C)))) ) ) ) ) ) ) ) ) ).
fof(t50_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (! [D] :  (m1_subset_1(D, k1_hilbert1) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_hilbert1)) =>  ( (r8_ltlaxio1(E, k3_hilbert1(k4_ltlaxio1(A, B), C)) & r8_ltlaxio1(E, k3_hilbert1(A, D)))  => r8_ltlaxio1(E, k3_hilbert1(k4_ltlaxio1(A, B), k4_ltlaxio1(D, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (! [D] :  (m1_subset_1(D, k1_hilbert1) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_hilbert1)) =>  ( (r8_ltlaxio1(E, k3_hilbert1(A, k3_hilbert1(B, C))) & r8_ltlaxio1(E, k3_hilbert1(C, D)))  => r8_ltlaxio1(E, k3_hilbert1(A, k3_hilbert1(B, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_hilbert1)) =>  (r8_ltlaxio1(C, k3_hilbert1(A, B)) => r8_ltlaxio1(C, k3_hilbert1(k1_ltlaxio1(B), k1_ltlaxio1(A)))) ) ) ) ) ) ) ).
fof(t53_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_hilbert1)) => r8_ltlaxio1(C, k3_hilbert1(k4_ltlaxio1(k2_ltlaxio1(A), k2_ltlaxio1(B)), k2_ltlaxio1(k4_ltlaxio1(A, B))))) ) ) ) ) ) ).
fof(t54_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  (r8_ltlaxio1(B, A) => r8_ltlaxio1(B, k6_ltlaxio1(A))) ) ) ) ) ).
fof(t55_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_hilbert1)) =>  (r2_tarski(k3_hilbert1(A, B), C) => r8_ltlaxio1(k4_subset_1(k1_hilbert1, C, k6_domain_1(k1_hilbert1, A)), k6_ltlaxio1(B))) ) ) ) ) ) ) ).
fof(t56_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_hilbert1)) =>  (r8_ltlaxio1(C, B) => r8_ltlaxio1(k4_subset_1(k1_hilbert1, C, k6_domain_1(k1_hilbert1, A)), B)) ) ) ) ) ) ) ).
fof(t57_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_hilbert1)) =>  (r8_ltlaxio1(k4_subset_1(k1_hilbert1, C, k6_domain_1(k1_hilbert1, A)), B) => r8_ltlaxio1(C, k3_hilbert1(k6_ltlaxio1(A), B))) ) ) ) ) ) ) ).
fof(t58_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_hilbert1)) =>  (r8_ltlaxio1(C, k3_hilbert1(A, B)) => r8_ltlaxio1(k4_subset_1(k1_hilbert1, C, k6_domain_1(k1_hilbert1, A)), B)) ) ) ) ) ) ) ).
fof(t59_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_hilbert1)) =>  (r8_ltlaxio1(C, k3_hilbert1(k6_ltlaxio1(A), B)) => r8_ltlaxio1(k4_subset_1(k1_hilbert1, C, k6_domain_1(k1_hilbert1, A)), B)) ) ) ) ) ) ) ).
fof(t60_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_hilbert1)) => r8_ltlaxio1(C, k3_hilbert1(k6_ltlaxio1(k3_hilbert1(A, B)), k3_hilbert1(k6_ltlaxio1(A), k6_ltlaxio1(B))))) ) ) ) ) ) ).
fof(dt_k1_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) => m1_subset_1(k1_ltlaxio1(A), k1_hilbert1)) ) ).
fof(dt_k2_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) => m1_subset_1(k2_ltlaxio1(A), k1_hilbert1)) ) ).
fof(dt_k3_ltlaxio1, axiom, m1_subset_1(k3_ltlaxio1, k1_hilbert1)).
fof(dt_k4_ltlaxio1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_hilbert1) & m1_subset_1(B, k1_hilbert1))  => m1_subset_1(k4_ltlaxio1(A, B), k1_hilbert1)) ) ).
fof(dt_k5_ltlaxio1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_hilbert1) & m1_subset_1(B, k1_hilbert1))  => m1_subset_1(k5_ltlaxio1(A, B), k1_hilbert1)) ) ).
fof(dt_k6_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) => m1_subset_1(k6_ltlaxio1(A), k1_hilbert1)) ) ).
fof(dt_k7_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) => m1_subset_1(k7_ltlaxio1(A), k1_hilbert1)) ) ).
fof(dt_k8_ltlaxio1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_hilbert1) & m1_subset_1(B, k1_hilbert1))  => m1_subset_1(k8_ltlaxio1(A, B), k1_hilbert1)) ) ).
fof(dt_k9_ltlaxio1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_hilbert1) & m1_subset_1(B, k1_hilbert1))  => m1_subset_1(k9_ltlaxio1(A, B), k1_hilbert1)) ) ).
fof(dt_k10_ltlaxio1, axiom, m1_subset_1(k10_ltlaxio1, k1_zfmisc_1(k1_hilbert1))).
fof(dt_k11_ltlaxio1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1))))) )  =>  (v1_funct_1(k11_ltlaxio1(A)) &  (v1_funct_2(k11_ltlaxio1(A), k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1) & m1_subset_1(k11_ltlaxio1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1)))) ) ) ) ).
fof(dt_k12_ltlaxio1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k1_hilbert1, k5_margrel1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_hilbert1, k5_margrel1)))) )  =>  (v1_funct_1(k12_ltlaxio1(A)) &  (v1_funct_2(k12_ltlaxio1(A), k1_hilbert1, k5_margrel1) & m1_subset_1(k12_ltlaxio1(A), k1_zfmisc_1(k2_zfmisc_1(k1_hilbert1, k5_margrel1)))) ) ) ) ).
fof(dt_k13_ltlaxio1, axiom, m1_subset_1(k13_ltlaxio1, k1_zfmisc_1(k1_hilbert1))).
fof(fc1_ltlaxio2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  & v1_xboole_0(B))  => v1_xboole_0(k1_funct_1(A, B))) ) ).
fof(t1_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ~ ( ( ~ (r1_xxreal_0(k3_finseq_1(B), k5_numbers))  &  ( ~ (r1_xxreal_0(A, k5_numbers))  & r1_xxreal_0(k3_finseq_1(k16_finseq_1(A, B)), k5_numbers)) ) ) ) ) ) ) ).
fof(t2_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (k3_finseq_1(B)=k5_numbers => k1_rfinseq(A, B)=B) ) ) ) ) ).
fof(t3_ltlaxio2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (k10_xtuple_0(A)=k10_xtuple_0(B) =>  (k3_finseq_1(A)=k5_numbers <=> k3_finseq_1(B)=k5_numbers) ) ) ) ) ) ).
fof(d1_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) => k1_ltlaxio2(A, B)=k5_ltlaxio1(B, k4_ltlaxio1(A, k4_hilbert1(A, B)))) ) ) ) ).
fof(t4_ltlaxio2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k1_hilbert1, k5_margrel1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_hilbert1, k5_margrel1)))) )  => k3_funct_2(k1_hilbert1, k5_margrel1, k12_ltlaxio1(A), k3_ltlaxio1)=1) ) ).
fof(t5_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_hilbert1, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_hilbert1, k5_margrel1)))) )  => k3_funct_2(k1_hilbert1, k5_margrel1, k12_ltlaxio1(C), k5_ltlaxio1(A, B))=k5_xboolean(k3_funct_2(k1_hilbert1, k5_margrel1, k12_ltlaxio1(C), A), k3_funct_2(k1_hilbert1, k5_margrel1, k12_ltlaxio1(C), B))) ) ) ) ) ) ).
fof(d2_ltlaxio2, axiom,  (! [A] :  (m2_finseq_1(A, k1_hilbert1) =>  (! [B] :  (m2_finseq_1(B, k1_hilbert1) =>  ( ( ~ (r1_xxreal_0(k3_finseq_1(A), k5_numbers))  =>  (B=k2_ltlaxio2(A) <=>  (k3_finseq_1(B)=k3_finseq_1(A) &  (k1_funct_1(B, 1)=k1_funct_1(A, 1) &  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(1, C) =>  (r1_xxreal_0(k3_finseq_1(A), C) | k1_funct_1(B, k1_nat_1(C, 1))=k4_ltlaxio1(k7_partfun1(k1_hilbert1, B, C), k7_partfun1(k1_hilbert1, A, k1_nat_1(C, 1)))) ) ) ) ) ) ) )  &  (r1_xxreal_0(k3_finseq_1(A), k5_numbers) =>  (B=k2_ltlaxio2(A) <=> B=k12_finseq_1(k1_hilbert1, k3_ltlaxio1)) ) ) ) ) ) ) ).
fof(d3_ltlaxio2, axiom,  (! [A] :  (m2_finseq_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m2_finseq_1(C, k1_hilbert1) =>  ( ( ~ (r1_xxreal_0(k3_finseq_1(A), k5_numbers))  =>  (C=k3_ltlaxio2(A, B) <=>  (k3_finseq_1(C)=k3_finseq_1(A) &  (k1_funct_1(C, 1)=k3_hilbert1(k6_ltlaxio1(k7_partfun1(k1_hilbert1, A, 1)), B) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r1_xxreal_0(1, D) =>  (r1_xxreal_0(k3_finseq_1(A), D) | k1_funct_1(C, k1_nat_1(D, 1))=k3_hilbert1(k6_ltlaxio1(k7_partfun1(k1_hilbert1, A, k1_nat_1(D, 1))), k7_partfun1(k1_hilbert1, C, D))) ) ) ) ) ) ) )  &  (r1_xxreal_0(k3_finseq_1(A), k5_numbers) =>  (C=k3_ltlaxio2(A, B) <=> C=k6_finseq_1(k1_hilbert1)) ) ) ) ) ) ) ) ) ).
fof(d4_ltlaxio2, axiom,  (! [A] :  (m2_finseq_1(A, k1_hilbert1) =>  (! [B] :  (m2_finseq_1(B, k1_hilbert1) =>  (B=k4_ltlaxio2(A) <=>  (k3_finseq_1(B)=k3_finseq_1(A) &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, k3_finseq_1(A)))  => k1_funct_1(B, C)=k1_ltlaxio1(k7_partfun1(k1_hilbert1, A, C))) ) ) ) ) ) ) ) ) ).
fof(d5_ltlaxio2, axiom,  (! [A] :  (m2_finseq_1(A, k1_hilbert1) =>  (! [B] :  (m2_finseq_1(B, k1_hilbert1) =>  (B=k5_ltlaxio2(A) <=>  (k3_finseq_1(B)=k3_finseq_1(A) &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, k3_finseq_1(A)))  => k1_funct_1(B, C)=k2_ltlaxio1(k7_partfun1(k1_hilbert1, A, C))) ) ) ) ) ) ) ) ) ).
fof(t6_ltlaxio2, axiom,  (! [A] :  (m2_finseq_1(A, k1_hilbert1) =>  ( ~ (r1_xxreal_0(k3_finseq_1(A), k5_numbers))  => k7_partfun1(k1_hilbert1, k2_ltlaxio2(A), 1)=k7_partfun1(k1_hilbert1, A, 1)) ) ) ).
fof(t7_ltlaxio2, axiom,  (! [A] :  (m2_finseq_1(A, k1_hilbert1) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(1, B) =>  (r1_xxreal_0(k3_finseq_1(A), B) | k7_partfun1(k1_hilbert1, k2_ltlaxio2(A), k1_nat_1(B, 1))=k4_ltlaxio1(k7_partfun1(k1_hilbert1, k2_ltlaxio2(A), B), k7_partfun1(k1_hilbert1, A, k1_nat_1(B, 1)))) ) ) ) ) ) ).
fof(t8_ltlaxio2, axiom,  (! [A] :  (m2_finseq_1(A, k1_hilbert1) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k4_finseq_1(A)) => k7_partfun1(k1_hilbert1, k4_ltlaxio2(A), B)=k1_ltlaxio1(k7_partfun1(k1_hilbert1, A, B))) ) ) ) ) ).
fof(t9_ltlaxio2, axiom,  (! [A] :  (m2_finseq_1(A, k1_hilbert1) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k4_finseq_1(A)) => k7_partfun1(k1_hilbert1, k5_ltlaxio2(A), B)=k2_ltlaxio1(k7_partfun1(k1_hilbert1, A, B))) ) ) ) ) ).
fof(t10_ltlaxio2, axiom, k7_partfun1(k1_hilbert1, k2_ltlaxio2(k6_finseq_1(k1_hilbert1)), k3_finseq_1(k2_ltlaxio2(k6_finseq_1(k1_hilbert1))))=k3_ltlaxio1).
fof(t11_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) => k7_partfun1(k1_hilbert1, k2_ltlaxio2(k12_finseq_1(k1_hilbert1, A)), k3_finseq_1(k2_ltlaxio2(k12_finseq_1(k1_hilbert1, A))))=A) ) ).
fof(t12_ltlaxio2, axiom,  (! [A] :  (m2_finseq_1(A, k1_hilbert1) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(C, B) => k1_funct_1(k2_ltlaxio2(A), C)=k1_funct_1(k2_ltlaxio2(k17_finseq_1(k1_hilbert1, B, A)), C)) ) ) ) ) ) ) ).
fof(t13_ltlaxio2, axiom,  (! [A] :  (m2_finseq_1(A, k1_hilbert1) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(C, B) &  (r1_xxreal_0(1, C) & r1_xxreal_0(C, k3_finseq_1(A))) )  => k7_partfun1(k1_hilbert1, k2_ltlaxio2(A), C)=k7_partfun1(k1_hilbert1, k2_ltlaxio2(k17_finseq_1(k1_hilbert1, B, A)), C)) ) ) ) ) ) ) ).
fof(t14_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) => k4_ltlaxio2(k12_finseq_1(k1_hilbert1, A))=k12_finseq_1(k1_hilbert1, k1_ltlaxio1(A))) ) ).
fof(t15_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m2_finseq_1(B, k1_hilbert1) => k4_ltlaxio2(k8_finseq_1(k1_hilbert1, B, k12_finseq_1(k1_hilbert1, A)))=k8_finseq_1(k1_hilbert1, k4_ltlaxio2(B), k12_finseq_1(k1_hilbert1, k1_ltlaxio1(A)))) ) ) ) ).
fof(t16_ltlaxio2, axiom,  (! [A] :  (m2_finseq_1(A, k1_hilbert1) =>  (! [B] :  (m2_finseq_1(B, k1_hilbert1) => k4_ltlaxio2(k8_finseq_1(k1_hilbert1, A, B))=k8_finseq_1(k1_hilbert1, k4_ltlaxio2(A), k4_ltlaxio2(B))) ) ) ) ).
fof(t17_ltlaxio2, axiom,  (! [A] :  (m2_finseq_1(A, k1_hilbert1) =>  (! [B] :  (m2_finseq_1(B, k1_hilbert1) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_hilbert1, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_hilbert1, k5_margrel1)))) )  => k3_funct_2(k1_hilbert1, k5_margrel1, k12_ltlaxio1(C), k7_partfun1(k1_hilbert1, k2_ltlaxio2(k8_finseq_1(k1_hilbert1, A, B)), k3_finseq_1(k2_ltlaxio2(k8_finseq_1(k1_hilbert1, A, B)))))=k9_margrel1(k3_funct_2(k1_hilbert1, k5_margrel1, k12_ltlaxio1(C), k7_partfun1(k1_hilbert1, k2_ltlaxio2(A), k3_finseq_1(k2_ltlaxio2(A)))), k3_funct_2(k1_hilbert1, k5_margrel1, k12_ltlaxio1(C), k7_partfun1(k1_hilbert1, k2_ltlaxio2(B), k3_finseq_1(k2_ltlaxio2(B)))))) ) ) ) ) ) ).
fof(t18_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m2_finseq_1(B, k1_hilbert1) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_hilbert1, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_hilbert1, k5_margrel1)))) )  =>  (r2_tarski(A, k4_finseq_1(B)) => k3_funct_2(k1_hilbert1, k5_margrel1, k12_ltlaxio1(C), k7_partfun1(k1_hilbert1, k2_ltlaxio2(B), k3_finseq_1(k2_ltlaxio2(B))))=k9_margrel1(k9_margrel1(k3_funct_2(k1_hilbert1, k5_margrel1, k12_ltlaxio1(C), k7_partfun1(k1_hilbert1, k2_ltlaxio2(k17_finseq_1(k1_hilbert1, k7_nat_d(A, 1), B)), k3_finseq_1(k2_ltlaxio2(k17_finseq_1(k1_hilbert1, k7_nat_d(A, 1), B))))), k3_funct_2(k1_hilbert1, k5_margrel1, k12_ltlaxio1(C), k7_partfun1(k1_hilbert1, B, A))), k3_funct_2(k1_hilbert1, k5_margrel1, k12_ltlaxio1(C), k7_partfun1(k1_hilbert1, k2_ltlaxio2(k2_rfinseq(k1_hilbert1, A, B)), k3_finseq_1(k2_ltlaxio2(k2_rfinseq(k1_hilbert1, A, B))))))) ) ) ) ) ) ) ).
fof(t19_ltlaxio2, axiom,  (! [A] :  (m2_finseq_1(A, k1_hilbert1) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_hilbert1, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_hilbert1, k5_margrel1)))) )  =>  (k3_funct_2(k1_hilbert1, k5_margrel1, k12_ltlaxio1(B), k7_partfun1(k1_hilbert1, k2_ltlaxio2(A), k3_finseq_1(k2_ltlaxio2(A))))=1 <=>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(A)) => k3_funct_2(k1_hilbert1, k5_margrel1, k12_ltlaxio1(B), k7_partfun1(k1_hilbert1, A, C))=1) ) ) ) ) ) ) ) ).
fof(t20_ltlaxio2, axiom,  (! [A] :  (m2_finseq_1(A, k1_hilbert1) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_hilbert1, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_hilbert1, k5_margrel1)))) )  =>  (k3_funct_2(k1_hilbert1, k5_margrel1, k12_ltlaxio1(B), k1_ltlaxio1(k7_partfun1(k1_hilbert1, k2_ltlaxio2(k4_ltlaxio2(A)), k3_finseq_1(k2_ltlaxio2(k4_ltlaxio2(A))))))=k5_numbers <=>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(A)) => k3_funct_2(k1_hilbert1, k5_margrel1, k12_ltlaxio1(B), k7_partfun1(k1_hilbert1, A, C))=k5_numbers) ) ) ) ) ) ) ) ).
fof(t21_ltlaxio2, axiom,  (! [A] :  (m2_finseq_1(A, k1_hilbert1) =>  (! [B] :  (m2_finseq_1(B, k1_hilbert1) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_hilbert1, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_hilbert1, k5_margrel1)))) )  =>  (k2_relset_1(k1_hilbert1, A)=k2_relset_1(k1_hilbert1, B) => k3_funct_2(k1_hilbert1, k5_margrel1, k12_ltlaxio1(C), k7_partfun1(k1_hilbert1, k2_ltlaxio2(A), k3_finseq_1(k2_ltlaxio2(A))))=k3_funct_2(k1_hilbert1, k5_margrel1, k12_ltlaxio1(C), k7_partfun1(k1_hilbert1, k2_ltlaxio2(B), k3_finseq_1(k2_ltlaxio2(B))))) ) ) ) ) ) ) ).
fof(t22_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) => v1_ltlaxio1(k3_hilbert1(A, k3_ltlaxio1))) ) ).
fof(t23_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) => v1_ltlaxio1(k3_hilbert1(k1_ltlaxio1(k3_ltlaxio1), A))) ) ).
fof(t24_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) => v1_ltlaxio1(k3_hilbert1(A, A))) ) ).
fof(t25_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) => v1_ltlaxio1(k3_hilbert1(k1_ltlaxio1(k1_ltlaxio1(A)), A))) ) ).
fof(t26_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) => v1_ltlaxio1(k3_hilbert1(A, k1_ltlaxio1(k1_ltlaxio1(A))))) ) ).
fof(t27_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) => v1_ltlaxio1(k3_hilbert1(k4_ltlaxio1(A, B), A))) ) ) ) ).
fof(t28_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) => v1_ltlaxio1(k3_hilbert1(k4_ltlaxio1(A, B), B))) ) ) ) ).
fof(t29_ltlaxio2, axiom,  (! [A] :  (m2_finseq_1(A, k1_hilbert1) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k4_finseq_1(A)) => v1_ltlaxio1(k3_hilbert1(k7_partfun1(k1_hilbert1, A, B), k1_ltlaxio1(k7_partfun1(k1_hilbert1, k2_ltlaxio2(k4_ltlaxio2(A)), k3_finseq_1(k2_ltlaxio2(k4_ltlaxio2(A)))))))) ) ) ) ) ).
fof(t30_ltlaxio2, axiom,  (! [A] :  (m2_finseq_1(A, k1_hilbert1) =>  (! [B] :  (m2_finseq_1(B, k1_hilbert1) =>  (r1_tarski(k2_relset_1(k1_hilbert1, A), k2_relset_1(k1_hilbert1, B)) => v1_ltlaxio1(k3_hilbert1(k1_ltlaxio1(k7_partfun1(k1_hilbert1, k2_ltlaxio2(k4_ltlaxio2(A)), k3_finseq_1(k2_ltlaxio2(k4_ltlaxio2(A))))), k1_ltlaxio1(k7_partfun1(k1_hilbert1, k2_ltlaxio2(k4_ltlaxio2(B)), k3_finseq_1(k2_ltlaxio2(k4_ltlaxio2(B)))))))) ) ) ) ) ).
fof(t31_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) => v1_ltlaxio1(k3_hilbert1(k1_ltlaxio1(k3_hilbert1(A, B)), A))) ) ) ) ).
fof(t32_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) => v1_ltlaxio1(k3_hilbert1(k1_ltlaxio1(k3_hilbert1(A, B)), k1_ltlaxio1(B)))) ) ) ) ).
fof(t33_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) => v1_ltlaxio1(k3_hilbert1(A, k3_hilbert1(B, A)))) ) ) ) ).
fof(t34_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) => v1_ltlaxio1(k3_hilbert1(A, k3_hilbert1(B, k3_hilbert1(A, B))))) ) ) ) ).
fof(t35_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) => v1_ltlaxio1(k3_hilbert1(k1_ltlaxio1(k4_ltlaxio1(A, B)), k5_ltlaxio1(k1_ltlaxio1(A), k1_ltlaxio1(B))))) ) ) ) ).
fof(t36_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) => v1_ltlaxio1(k3_hilbert1(k1_ltlaxio1(k5_ltlaxio1(A, B)), k4_ltlaxio1(k1_ltlaxio1(A), k1_ltlaxio1(B))))) ) ) ) ).
fof(t37_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) => v1_ltlaxio1(k3_hilbert1(k1_ltlaxio1(k4_ltlaxio1(A, B)), k3_hilbert1(A, k1_ltlaxio1(B))))) ) ) ) ).
fof(t38_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) => v1_ltlaxio1(k3_hilbert1(k1_ltlaxio1(k4_ltlaxio1(k3_ltlaxio1, k1_ltlaxio1(A))), A))) ) ).
fof(t39_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) => v1_ltlaxio1(k3_hilbert1(k1_ltlaxio1(k4_ltlaxio1(C, B)), k3_hilbert1(k3_hilbert1(A, B), k3_hilbert1(A, k1_ltlaxio1(C)))))) ) ) ) ) ) ).
fof(t40_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) => v1_ltlaxio1(k3_hilbert1(k3_hilbert1(A, B), k3_hilbert1(k3_hilbert1(A, C), k3_hilbert1(A, k4_ltlaxio1(B, C)))))) ) ) ) ) ) ).
fof(t41_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (! [D] :  (m1_subset_1(D, k1_hilbert1) => v1_ltlaxio1(k3_hilbert1(k1_ltlaxio1(k4_ltlaxio1(A, D)), k1_ltlaxio1(k4_ltlaxio1(k4_ltlaxio1(C, D), k4_ltlaxio1(A, B)))))) ) ) ) ) ) ) ) ).
fof(t42_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (! [D] :  (m1_subset_1(D, k1_hilbert1) => v1_ltlaxio1(k3_hilbert1(k1_ltlaxio1(k4_ltlaxio1(A, D)), k1_ltlaxio1(k4_ltlaxio1(k4_ltlaxio1(A, B), k4_ltlaxio1(C, D)))))) ) ) ) ) ) ) ) ).
fof(t43_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) => v1_ltlaxio1(k3_hilbert1(k3_hilbert1(A, k4_ltlaxio1(B, k1_ltlaxio1(B))), k1_ltlaxio1(A)))) ) ) ) ).
fof(t44_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (! [D] :  (m1_subset_1(D, k1_hilbert1) => v1_ltlaxio1(k3_hilbert1(k3_hilbert1(B, k4_ltlaxio1(A, C)), k3_hilbert1(k3_hilbert1(A, D), k3_hilbert1(B, k4_ltlaxio1(D, C)))))) ) ) ) ) ) ) ) ).
fof(t45_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (! [D] :  (m1_subset_1(D, k1_hilbert1) => v1_ltlaxio1(k3_hilbert1(k3_hilbert1(A, B), k3_hilbert1(k3_hilbert1(C, D), k3_hilbert1(k4_ltlaxio1(A, C), k4_ltlaxio1(B, D)))))) ) ) ) ) ) ) ) ).
fof(t46_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) => v1_ltlaxio1(k3_hilbert1(k3_hilbert1(A, B), k3_hilbert1(k3_hilbert1(A, C), k3_hilbert1(k3_hilbert1(C, A), k3_hilbert1(C, B)))))) ) ) ) ) ) ).
fof(t47_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) => v1_ltlaxio1(k3_hilbert1(k3_hilbert1(A, B), k3_hilbert1(k3_hilbert1(A, k1_ltlaxio1(C)), k3_hilbert1(A, k1_ltlaxio1(k3_hilbert1(B, C))))))) ) ) ) ) ) ).
fof(t48_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (! [D] :  (m1_subset_1(D, k1_hilbert1) => v1_ltlaxio1(k3_hilbert1(k3_hilbert1(A, k5_ltlaxio1(B, C)), k3_hilbert1(k3_hilbert1(C, D), k3_hilbert1(A, k5_ltlaxio1(B, D)))))) ) ) ) ) ) ) ) ).
fof(t49_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) => v1_ltlaxio1(k3_hilbert1(k3_hilbert1(A, C), k3_hilbert1(k3_hilbert1(B, C), k3_hilbert1(k5_ltlaxio1(A, B), C))))) ) ) ) ) ) ).
fof(t50_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) => v1_ltlaxio1(k3_hilbert1(k3_hilbert1(C, k1_ltlaxio2(A, B)), k3_hilbert1(k3_hilbert1(C, k4_ltlaxio1(k1_ltlaxio1(A), k1_ltlaxio1(B))), k1_ltlaxio1(C))))) ) ) ) ) ) ).
fof(t51_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) => v1_ltlaxio1(k3_hilbert1(k3_hilbert1(C, k1_ltlaxio2(A, B)), k3_hilbert1(k3_hilbert1(C, k4_ltlaxio1(k1_ltlaxio1(B), k1_ltlaxio1(k4_hilbert1(A, B)))), k1_ltlaxio1(C))))) ) ) ) ) ) ).
fof(t52_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_hilbert1)) =>  ( (r8_ltlaxio1(D, k3_hilbert1(A, B)) & r8_ltlaxio1(D, k3_hilbert1(A, C)))  => r8_ltlaxio1(D, k3_hilbert1(A, k4_ltlaxio1(B, C)))) ) ) ) ) ) ) ) ) ).
fof(t53_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (! [D] :  (m1_subset_1(D, k1_hilbert1) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_hilbert1)) =>  ( (r8_ltlaxio1(E, k3_hilbert1(A, B)) & r8_ltlaxio1(E, k3_hilbert1(C, D)))  => r8_ltlaxio1(E, k3_hilbert1(k4_ltlaxio1(A, C), k4_ltlaxio1(B, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_hilbert1)) =>  ( (r8_ltlaxio1(D, k3_hilbert1(A, B)) &  (r8_ltlaxio1(D, k3_hilbert1(A, C)) & r8_ltlaxio1(D, k3_hilbert1(C, A))) )  => r8_ltlaxio1(D, k3_hilbert1(C, B))) ) ) ) ) ) ) ) ) ).
fof(t55_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_hilbert1)) =>  (r8_ltlaxio1(C, k3_hilbert1(A, k4_ltlaxio1(B, k1_ltlaxio1(B)))) => r8_ltlaxio1(C, k1_ltlaxio1(A))) ) ) ) ) ) ) ).
fof(t56_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m2_finseq_1(B, k1_hilbert1) =>  ( (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => r8_ltlaxio1(k1_subset_1(k1_hilbert1), k3_hilbert1(A, k7_partfun1(k1_hilbert1, B, C)))) ) )  => r8_ltlaxio1(k1_subset_1(k1_hilbert1), k3_hilbert1(A, k7_partfun1(k1_hilbert1, k2_ltlaxio2(B), k3_finseq_1(k2_ltlaxio2(B)))))) ) ) ) ) ).
fof(t57_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m2_finseq_1(B, k1_hilbert1) =>  ( (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => r8_ltlaxio1(k1_subset_1(k1_hilbert1), k3_hilbert1(k7_partfun1(k1_hilbert1, B, C), A))) ) )  => r8_ltlaxio1(k1_subset_1(k1_hilbert1), k3_hilbert1(k1_ltlaxio1(k7_partfun1(k1_hilbert1, k2_ltlaxio2(k4_ltlaxio2(B)), k3_finseq_1(k2_ltlaxio2(k4_ltlaxio2(B))))), A))) ) ) ) ) ).
fof(t58_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_hilbert1)) => r8_ltlaxio1(C, k3_hilbert1(k3_hilbert1(k2_ltlaxio1(A), k2_ltlaxio1(B)), k2_ltlaxio1(k3_hilbert1(A, B))))) ) ) ) ) ) ).
fof(t59_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_hilbert1)) => r8_ltlaxio1(C, k3_hilbert1(k2_ltlaxio1(k4_ltlaxio1(A, B)), k4_ltlaxio1(k2_ltlaxio1(A), k2_ltlaxio1(B))))) ) ) ) ) ) ).
fof(t60_ltlaxio2, axiom,  (! [A] :  (m2_finseq_1(A, k1_hilbert1) => r8_ltlaxio1(k1_subset_1(k1_hilbert1), k3_hilbert1(k7_partfun1(k1_hilbert1, k2_ltlaxio2(k5_ltlaxio2(A)), k3_finseq_1(k2_ltlaxio2(k5_ltlaxio2(A)))), k2_ltlaxio1(k7_partfun1(k1_hilbert1, k2_ltlaxio2(A), k3_finseq_1(k2_ltlaxio2(A))))))) ) ).
fof(t61_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_hilbert1)) => r8_ltlaxio1(C, k3_hilbert1(k5_ltlaxio1(k2_ltlaxio1(A), k2_ltlaxio1(B)), k2_ltlaxio1(k5_ltlaxio1(A, B))))) ) ) ) ) ) ).
fof(t62_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_hilbert1)) => r8_ltlaxio1(C, k3_hilbert1(k2_ltlaxio1(k5_ltlaxio1(A, B)), k5_ltlaxio1(k2_ltlaxio1(A), k2_ltlaxio1(B))))) ) ) ) ) ) ).
fof(t63_ltlaxio2, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_hilbert1)) => r8_ltlaxio1(C, k3_hilbert1(k1_ltlaxio1(k4_hilbert1(A, B)), k2_ltlaxio1(k1_ltlaxio1(k1_ltlaxio2(A, B)))))) ) ) ) ) ) ).
fof(dt_k1_ltlaxio2, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_hilbert1) & m1_subset_1(B, k1_hilbert1))  => m1_subset_1(k1_ltlaxio2(A, B), k1_hilbert1)) ) ).
fof(dt_k2_ltlaxio2, axiom,  (! [A] :  (m1_finseq_1(A, k1_hilbert1) => m2_finseq_1(k2_ltlaxio2(A), k1_hilbert1)) ) ).
fof(dt_k3_ltlaxio2, axiom,  (! [A, B] :  ( (m1_finseq_1(A, k1_hilbert1) & m1_subset_1(B, k1_hilbert1))  => m2_finseq_1(k3_ltlaxio2(A, B), k1_hilbert1)) ) ).
fof(dt_k4_ltlaxio2, axiom,  (! [A] :  (m1_finseq_1(A, k1_hilbert1) => m2_finseq_1(k4_ltlaxio2(A), k1_hilbert1)) ) ).
fof(dt_k5_ltlaxio2, axiom,  (! [A] :  (m1_finseq_1(A, k1_hilbert1) => m2_finseq_1(k5_ltlaxio2(A), k1_hilbert1)) ) ).
fof(fc1_ltlaxio3, axiom,  (! [A] :  ~ (v1_xboole_0(k1_ltlaxio3(A))) ) ).
fof(fc2_ltlaxio3, axiom,  (! [A] :  (v1_finset_1(A) => v1_finset_1(k1_ltlaxio3(A))) ) ).
fof(fc3_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  ( ~ (v1_xboole_0(k1_funct_1(k4_ltlaxio3, A)))  & v1_finset_1(k1_funct_1(k4_ltlaxio3, A))) ) ) ).
fof(fc4_ltlaxio3, axiom,  (! [A] :  ( (v1_xboole_0(A) & m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)))  => v1_xboole_0(k5_ltlaxio3(A))) ) ).
fof(fc5_ltlaxio3, axiom,  (! [A] :  ( (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)))  => v1_finset_1(k5_ltlaxio3(A))) ) ).
fof(fc6_ltlaxio3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)))  =>  ~ (v1_xboole_0(k5_ltlaxio3(A))) ) ) ).
fof(fc7_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  ( ~ (v1_xboole_0(k1_funct_1(k6_ltlaxio3, A)))  & v1_finset_1(k1_funct_1(k6_ltlaxio3, A))) ) ) ).
fof(fc8_ltlaxio3, axiom,  (! [A] :  ( (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)))  =>  (v1_finset_1(k7_ltlaxio3(A)) & v5_finset_1(k7_ltlaxio3(A))) ) ) ).
fof(fc9_ltlaxio3, axiom,  ~ (v2_ltlaxio3(k4_tarski(k6_finseq_1(k1_hilbert1), k6_finseq_1(k1_hilbert1)))) ).
fof(fc10_ltlaxio3, axiom, v3_ltlaxio3(k4_tarski(k6_finseq_1(k1_hilbert1), k6_finseq_1(k1_hilbert1)))).
fof(rc1_ltlaxio3, axiom,  (? [A] :  (m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) &  ( ~ (v2_ltlaxio3(A))  & v3_ltlaxio3(A)) ) ) ).
fof(fc11_ltlaxio3, axiom,  (! [A] :  ( ( ~ (v2_ltlaxio3(A))  & m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))))  =>  ~ (v2_ltlaxio3(k4_tarski(k8_ltlaxio3(A), k9_ltlaxio3(A)))) ) ) ).
fof(t1_ltlaxio3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(B)) => k2_rfinseq(A, C, B)=k7_finseq_1(k9_finseq_1(k1_funct_1(B, k1_nat_1(C, 1))), k2_rfinseq(A, k1_nat_1(C, 1), B))) ) ) ) ) ) ) ).
fof(t2_ltlaxio3, axiom,  (v1_funct_1(k7_funcop_1(k4_ordinal1, k1_xboole_0)) &  (v1_funct_2(k7_funcop_1(k4_ordinal1, k1_xboole_0), k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(k7_funcop_1(k4_ordinal1, k1_xboole_0), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1))))) ) ).
fof(d1_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) =>  (v1_ltlaxio3(A) <=>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  ~ ( (r2_tarski(B, A) & v2_hilbert2(B)) ) ) ) ) ) ) ).
fof(d2_ltlaxio3, axiom,  (! [A] :  (! [B] :  (B=k1_ltlaxio3(A) <=>  (! [C] :  (r2_tarski(C, B) <=>  (v2_funct_1(C) & m2_finseq_1(C, A)) ) ) ) ) ) ).
fof(t3_ltlaxio3, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) => r1_tarski(k1_ltlaxio3(A), k1_ltlaxio3(B))) ) ) ).
fof(t4_ltlaxio3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_funct_1(A) & v1_finseq_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_funct_1(B) & v1_finseq_1(B)) ) )  =>  (r1_xboole_0(k10_xtuple_0(A), k10_xtuple_0(B)) => v2_funct_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(d3_ltlaxio3, axiom,  (! [A] :  (! [B] :  ( (v2_funct_1(B) & m2_finseq_1(B, A))  =>  (! [C] :  ( (v2_funct_1(C) & m2_finseq_1(C, A))  =>  (r1_xboole_0(k2_relset_1(A, B), k2_relset_1(A, C)) => k3_ltlaxio3(A, B, C)=k8_finseq_1(A, B, C)) ) ) ) ) ) ).
fof(d4_ltlaxio3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k1_hilbert1, k9_setfam_1(k1_hilbert1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_hilbert1, k9_setfam_1(k1_hilbert1))))) )  =>  (A=k4_ltlaxio3 <=>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), A, k2_hilbert1)=k6_domain_1(k1_hilbert1, k2_hilbert1) &  (k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), A, k1_hilbert2(D))=k6_domain_1(k1_hilbert1, k1_hilbert2(D)) &  (k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), A, k3_hilbert1(B, C))=k4_subset_1(k1_hilbert1, k4_subset_1(k1_hilbert1, k6_domain_1(k1_hilbert1, k3_hilbert1(B, C)), k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), A, B)), k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), A, C)) & k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), A, k4_hilbert1(B, C))=k6_domain_1(k1_hilbert1, k4_hilbert1(B, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  ( ~ (v2_hilbert2(A))  => k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), k4_ltlaxio3, A)=k6_domain_1(k1_hilbert1, A)) ) ) ).
fof(t6_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) => r2_tarski(A, k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), k4_ltlaxio3, A))) ) ).
fof(t7_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (r2_tarski(k3_hilbert1(A, B), k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), k4_ltlaxio3, C)) =>  (r2_tarski(A, k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), k4_ltlaxio3, C)) & r2_tarski(B, k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), k4_ltlaxio3, C))) ) ) ) ) ) ) ) ).
fof(t8_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (r2_tarski(A, k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), k4_ltlaxio3, B)) => r1_tarski(k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), k4_ltlaxio3, A), k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), k4_ltlaxio3, B))) ) ) ) ) ).
fof(t9_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (r2_tarski(k4_hilbert1(B, C), k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), k4_ltlaxio3, k1_ltlaxio1(A))) => r2_tarski(k4_hilbert1(B, C), k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), k4_ltlaxio3, A))) ) ) ) ) ) ) ).
fof(t10_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (! [D] :  (m1_subset_1(D, k1_hilbert1) =>  ~ ( (r2_tarski(k4_hilbert1(C, D), k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), k4_ltlaxio3, k4_ltlaxio1(A, B))) &  ( ~ (r2_tarski(k4_hilbert1(C, D), k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), k4_ltlaxio3, A)))  &  ~ (r2_tarski(k4_hilbert1(C, D), k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), k4_ltlaxio3, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  ~ ( (r2_tarski(A, k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), k4_ltlaxio3, B)) &  ( ~ (A=B)  & r1_xxreal_0(k3_finseq_1(B), k3_finseq_1(A))) ) ) ) ) ) ) ).
fof(t12_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) => r1_tarski(k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), k4_ltlaxio3, A), k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), k4_ltlaxio3, k1_ltlaxio1(A)))) ) ).
fof(t13_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) => r1_tarski(k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), k4_ltlaxio3, B), k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), k4_ltlaxio3, k4_ltlaxio1(A, B)))) ) ) ) ).
fof(t14_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) => r1_tarski(k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), k4_ltlaxio3, B), k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), k4_ltlaxio3, k5_ltlaxio1(A, B)))) ) ) ) ).
fof(d5_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  (B=k5_ltlaxio3(A) <=>  (! [C] :  (r2_tarski(C, B) <=>  (? [D] :  (m1_subset_1(D, k1_hilbert1) &  (r2_tarski(D, A) & r2_tarski(C, k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), k4_ltlaxio3, D))) ) ) ) ) ) ) ) ) ) ).
fof(t16_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) => r1_tarski(A, k5_ltlaxio3(A))) ) ).
fof(t17_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) => k5_ltlaxio3(k5_ltlaxio3(A))=k5_ltlaxio3(A)) ) ).
fof(t18_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) =>  (v1_ltlaxio3(A) => k5_ltlaxio3(A)=A) ) ) ).
fof(t19_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_hilbert1)) =>  (r2_tarski(k3_hilbert1(A, B), k5_ltlaxio3(C)) =>  (r2_tarski(A, k5_ltlaxio3(C)) & r2_tarski(B, k5_ltlaxio3(C))) ) ) ) ) ) ) ) ).
fof(t20_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_hilbert1)) =>  (r2_tarski(k4_ltlaxio1(A, B), k5_ltlaxio3(C)) =>  (r2_tarski(A, k5_ltlaxio3(C)) & r2_tarski(B, k5_ltlaxio3(C))) ) ) ) ) ) ) ) ).
fof(t21_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_hilbert1)) =>  (r2_tarski(k5_ltlaxio1(A, B), k5_ltlaxio3(C)) =>  (r2_tarski(A, k5_ltlaxio3(C)) & r2_tarski(B, k5_ltlaxio3(C))) ) ) ) ) ) ) ) ).
fof(t22_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_hilbert1)) =>  (r2_tarski(k1_ltlaxio2(A, B), k5_ltlaxio3(C)) =>  (r2_tarski(A, k5_ltlaxio3(C)) &  (r2_tarski(B, k5_ltlaxio3(C)) & r2_tarski(k4_hilbert1(A, B), k5_ltlaxio3(C))) ) ) ) ) ) ) ) ) ).
fof(t23_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  (r2_tarski(A, k5_ltlaxio3(B)) => r1_tarski(k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), k4_ltlaxio3, A), k5_ltlaxio3(B))) ) ) ) ) ).
fof(d6_ltlaxio3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k1_hilbert1, k9_setfam_1(k1_hilbert1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_hilbert1, k9_setfam_1(k1_hilbert1))))) )  =>  (A=k6_ltlaxio3 <=>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), A, k2_hilbert1)=k6_domain_1(k1_hilbert1, k2_hilbert1) &  (k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), A, k1_hilbert2(D))=k6_domain_1(k1_hilbert1, k1_hilbert2(D)) &  (k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), A, k3_hilbert1(B, C))=k4_subset_1(k1_hilbert1, k4_subset_1(k1_hilbert1, k6_domain_1(k1_hilbert1, k3_hilbert1(B, C)), k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), A, B)), k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), A, C)) & k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), A, k4_hilbert1(B, C))=k4_subset_1(k1_hilbert1, k4_subset_1(k1_hilbert1, k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), k4_ltlaxio3, k1_ltlaxio2(B, C)), k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), A, B)), k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), A, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) => r2_tarski(k4_hilbert1(A, B), k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), k6_ltlaxio3, k4_hilbert1(A, B)))) ) ) ) ).
fof(t25_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) => r1_tarski(k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), k4_ltlaxio3, A), k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), k6_ltlaxio3, A))) ) ).
fof(t26_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (! [D] :  (m1_subset_1(D, k1_hilbert1) =>  ( (r2_tarski(C, k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), k6_ltlaxio3, k4_hilbert1(A, B))) & r2_tarski(k4_hilbert1(A, B), k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), k6_ltlaxio3, D)))  => r2_tarski(C, k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), k6_ltlaxio3, D))) ) ) ) ) ) ) ) ) ).
fof(d8_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) => k10_ltlaxio3(A)=k4_subset_1(k1_hilbert1, k2_relset_1(k1_hilbert1, k8_ltlaxio3(A)), k2_relset_1(k1_hilbert1, k9_ltlaxio3(A)))) ) ).
fof(d9_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) => k12_ltlaxio3(A)=k4_ltlaxio1(k7_partfun1(k1_hilbert1, k2_ltlaxio2(k8_ltlaxio3(A)), k3_finseq_1(k2_ltlaxio2(k8_ltlaxio3(A)))), k7_partfun1(k1_hilbert1, k2_ltlaxio2(k4_ltlaxio2(k9_ltlaxio3(A))), k3_finseq_1(k2_ltlaxio2(k4_ltlaxio2(k9_ltlaxio3(A))))))) ) ).
fof(t27_ltlaxio3, axiom, k12_ltlaxio3(k11_ltlaxio3(k6_finseq_1(k1_hilbert1), k6_finseq_1(k1_hilbert1)))=k4_ltlaxio1(k3_ltlaxio1, k3_ltlaxio1)).
fof(t28_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  (r2_tarski(A, k2_relset_1(k1_hilbert1, k8_ltlaxio3(B))) => r8_ltlaxio1(k1_subset_1(k1_hilbert1), k3_hilbert1(k12_ltlaxio3(B), A))) ) ) ) ) ).
fof(t29_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  (r2_tarski(A, k2_relset_1(k1_hilbert1, k9_ltlaxio3(B))) => r8_ltlaxio1(k1_subset_1(k1_hilbert1), k3_hilbert1(k12_ltlaxio3(B), k1_ltlaxio1(A)))) ) ) ) ) ).
fof(d10_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  (v2_ltlaxio3(A) <=> r8_ltlaxio1(k1_subset_1(k1_hilbert1), k1_ltlaxio1(k12_ltlaxio3(A)))) ) ) ).
fof(d11_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  (v3_ltlaxio3(A) <=> k5_ltlaxio3(k10_ltlaxio3(A))=k10_ltlaxio3(A)) ) ) ).
fof(t30_ltlaxio3, axiom,  (! [A] :  ( ( ~ (v2_ltlaxio3(A))  & m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))))  => r1_xboole_0(k2_relset_1(k1_hilbert1, k8_ltlaxio3(A)), k2_relset_1(k1_hilbert1, k9_ltlaxio3(A)))) ) ).
fof(t31_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  ( ( ~ (v2_ltlaxio3(B))  & m1_subset_1(B, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))))  =>  ~ ( ( ~ (r2_tarski(A, k10_ltlaxio3(B)))  &  (v2_ltlaxio3(k11_ltlaxio3(k3_ltlaxio3(k1_hilbert1, k8_ltlaxio3(B), k12_finseq_1(k1_hilbert1, A)), k9_ltlaxio3(B))) & v2_ltlaxio3(k11_ltlaxio3(k8_ltlaxio3(B), k3_ltlaxio3(k1_hilbert1, k9_ltlaxio3(B), k12_finseq_1(k1_hilbert1, A))))) ) ) ) ) ) ) ).
fof(t32_ltlaxio3, axiom,  (! [A] :  ( ( ~ (v2_ltlaxio3(A))  & m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))))  =>  ~ (r2_tarski(k2_hilbert1, k2_relset_1(k1_hilbert1, k8_ltlaxio3(A)))) ) ) ).
fof(t33_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  ( ( ~ (v2_ltlaxio3(C))  & m1_subset_1(C, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))))  =>  ( (r2_tarski(A, k10_ltlaxio3(C)) &  (r2_tarski(B, k10_ltlaxio3(C)) & r2_tarski(k3_hilbert1(A, B), k10_ltlaxio3(C))) )  =>  (r2_tarski(k3_hilbert1(A, B), k2_relset_1(k1_hilbert1, k8_ltlaxio3(C))) <=>  (r2_tarski(A, k2_relset_1(k1_hilbert1, k9_ltlaxio3(C))) | r2_tarski(B, k2_relset_1(k1_hilbert1, k8_ltlaxio3(C)))) ) ) ) ) ) ) ) ) ).
fof(t34_ltlaxio3, axiom,  (! [A] :  ( ( ~ (v2_ltlaxio3(A))  & m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))))  =>  (? [B] :  ( ( ~ (v2_ltlaxio3(B))  & m1_subset_1(B, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))))  &  (r1_tarski(k2_relset_1(k1_hilbert1, k8_ltlaxio3(A)), k2_relset_1(k1_hilbert1, k8_ltlaxio3(B))) &  (r1_tarski(k2_relset_1(k1_hilbert1, k9_ltlaxio3(A)), k2_relset_1(k1_hilbert1, k9_ltlaxio3(B))) & k5_ltlaxio3(k10_ltlaxio3(A))=k10_ltlaxio3(B)) ) ) ) ) ) ).
fof(dt_k2_ltlaxio3, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  ( ~ (v1_xboole_0(k2_ltlaxio3(A, B)))  & m1_subset_1(k2_ltlaxio3(A, B), k1_zfmisc_1(k1_ltlaxio3(A)))) ) ) ).
fof(redefinition_k2_ltlaxio3, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k2_ltlaxio3(A, B)=k1_ltlaxio3(B)) ) ).
fof(dt_k3_ltlaxio3, axiom,  (! [A, B, C] :  ( ( (v2_funct_1(B) & m1_finseq_1(B, A))  &  (v2_funct_1(C) & m1_finseq_1(C, A)) )  =>  (v2_funct_1(k3_ltlaxio3(A, B, C)) & m2_finseq_1(k3_ltlaxio3(A, B, C), A)) ) ) ).
fof(dt_k4_ltlaxio3, axiom,  (v1_funct_1(k4_ltlaxio3) &  (v1_funct_2(k4_ltlaxio3, k1_hilbert1, k9_setfam_1(k1_hilbert1)) & m1_subset_1(k4_ltlaxio3, k1_zfmisc_1(k2_zfmisc_1(k1_hilbert1, k9_setfam_1(k1_hilbert1))))) ) ).
fof(dt_k5_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) => m1_subset_1(k5_ltlaxio3(A), k1_zfmisc_1(k1_hilbert1))) ) ).
fof(dt_k6_ltlaxio3, axiom,  (v1_funct_1(k6_ltlaxio3) &  (v1_funct_2(k6_ltlaxio3, k1_hilbert1, k9_setfam_1(k1_hilbert1)) & m1_subset_1(k6_ltlaxio3, k1_zfmisc_1(k2_zfmisc_1(k1_hilbert1, k9_setfam_1(k1_hilbert1))))) ) ).
fof(dt_k7_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) => m1_subset_1(k7_ltlaxio3(A), k1_zfmisc_1(k9_setfam_1(k1_hilbert1)))) ) ).
fof(dt_k8_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  (v2_funct_1(k8_ltlaxio3(A)) & m2_finseq_1(k8_ltlaxio3(A), k1_hilbert1)) ) ) ).
fof(redefinition_k8_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) => k8_ltlaxio3(A)=k1_xtuple_0(A)) ) ).
fof(dt_k9_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  (v2_funct_1(k9_ltlaxio3(A)) & m2_finseq_1(k9_ltlaxio3(A), k1_hilbert1)) ) ) ).
fof(redefinition_k9_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) => k9_ltlaxio3(A)=k2_xtuple_0(A)) ) ).
fof(dt_k10_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  (v1_finset_1(k10_ltlaxio3(A)) & m1_subset_1(k10_ltlaxio3(A), k1_zfmisc_1(k1_hilbert1))) ) ) ).
fof(dt_k11_ltlaxio3, axiom,  (! [A, B] :  ( ( (v2_funct_1(A) & m1_finseq_1(A, k1_hilbert1))  &  (v2_funct_1(B) & m1_finseq_1(B, k1_hilbert1)) )  => m1_subset_1(k11_ltlaxio3(A, B), k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)))) ) ).
fof(redefinition_k11_ltlaxio3, axiom,  (! [A, B] :  ( ( (v2_funct_1(A) & m1_finseq_1(A, k1_hilbert1))  &  (v2_funct_1(B) & m1_finseq_1(B, k1_hilbert1)) )  => k11_ltlaxio3(A, B)=k4_tarski(A, B)) ) ).
fof(dt_k12_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) => m1_subset_1(k12_ltlaxio3(A), k1_hilbert1)) ) ).
fof(t15_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) => k5_ltlaxio3(A)=k3_tarski(a_1_0_ltlaxio3(A))) ) ).
fof(d7_ltlaxio3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) => k7_ltlaxio3(A)=a_1_1_ltlaxio3(A)) ) ).
fof(fraenkel_a_1_0_ltlaxio3, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  (r2_hidden(A, a_1_0_ltlaxio3(B)) <=>  (? [C] :  (m1_subset_1(C, k1_hilbert1) &  (A=k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), k4_ltlaxio3, C) & r2_tarski(C, B)) ) ) ) ) ) ).
fof(fraenkel_a_1_1_ltlaxio3, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  (r2_hidden(A, a_1_1_ltlaxio3(B)) <=>  (? [C] :  (m1_subset_1(C, k1_hilbert1) &  (A=k3_funct_2(k1_hilbert1, k9_setfam_1(k1_hilbert1), k6_ltlaxio3, C) & r2_tarski(C, B)) ) ) ) ) ) ).
fof(rc1_ltlaxio4, axiom,  (! [A] :  (? [B] :  (m1_finseq_2(B, A) &  ( ~ (v1_xboole_0(B))  &  (v4_funct_1(B) &  (v1_finset_1(B) & v3_finseq_1(B)) ) ) ) ) ) ).
fof(fc1_ltlaxio4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)))))  =>  ~ (v1_xboole_0(k3_ltlaxio4(A))) ) ) ).
fof(fc2_ltlaxio4, axiom,  (! [A] :  ( (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)))))  => v1_finset_1(k3_ltlaxio4(A))) ) ).
fof(cc1_ltlaxio4, axiom,  (! [A] :  ( (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)))  =>  (! [B] :  (m1_subset_1(B, k4_ltlaxio4(A)) => v3_ltlaxio3(B)) ) ) ) ).
fof(fc3_ltlaxio4, axiom,  (! [A] :  ( ( ~ (v2_ltlaxio3(A))  & m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))))  =>  ( ~ (v1_xboole_0(k5_ltlaxio4(A)))  & v1_finset_1(k5_ltlaxio4(A))) ) ) ).
fof(cc2_ltlaxio4, axiom,  (! [A] :  ( ( ~ (v2_ltlaxio3(A))  & m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))))  =>  (! [B] :  (m1_subset_1(B, k5_ltlaxio4(A)) =>  ~ (v2_ltlaxio3(B)) ) ) ) ) ).
fof(fc4_ltlaxio4, axiom,  (! [A] :  ( (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)))))  => v1_finset_1(k6_ltlaxio4(A))) ) ).
fof(fc5_ltlaxio4, axiom,  (! [A] :  ( (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)))  => v1_finset_1(k7_ltlaxio4(A))) ) ).
fof(cc3_ltlaxio4, axiom,  (! [A] :  ( ( ~ (v2_ltlaxio3(A))  & m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))))  =>  (! [B] :  (m1_subset_1(B, k8_ltlaxio4(A)) =>  ~ (v2_ltlaxio3(B)) ) ) ) ) ).
fof(fc6_ltlaxio4, axiom,  (! [A] :  ( ( ~ (v2_ltlaxio3(A))  & m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))))  =>  ( ~ (v1_xboole_0(k9_ltlaxio4(A)))  & v1_finset_1(k9_ltlaxio4(A))) ) ) ).
fof(cc4_ltlaxio4, axiom,  (! [A] :  ( ( ~ (v2_ltlaxio3(A))  & m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))))  =>  (! [B] :  (m1_subset_1(B, k9_ltlaxio4(A)) =>  ~ (v2_ltlaxio3(B)) ) ) ) ) ).
fof(cc5_ltlaxio4, axiom,  (! [A] :  ( ( ~ (v2_ltlaxio3(A))  & m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))))  =>  (! [B] :  (m1_subset_1(B, k9_ltlaxio4(A)) => v3_ltlaxio3(B)) ) ) ) ).
fof(fc7_ltlaxio4, axiom,  (! [A, B] :  ( (m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) & m3_ltlaxio4(B, A))  =>  ( ~ (v1_xboole_0(k10_xtuple_0(B)))  & v1_finset_1(k10_xtuple_0(B))) ) ) ).
fof(cc6_ltlaxio4, axiom,  (! [A, B] :  ( ( ( ~ (v2_ltlaxio3(A))  & m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))))  & m3_ltlaxio4(B, A))  =>  (! [C] :  (m1_subset_1(C, k2_relset_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)), B)) =>  ~ (v2_ltlaxio3(C)) ) ) ) ) ).
fof(cc7_ltlaxio4, axiom,  (! [A, B] :  ( ( ( ~ (v2_ltlaxio3(A))  &  (v3_ltlaxio3(A) & m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)))) )  & m3_ltlaxio4(B, A))  =>  (! [C] :  (m1_subset_1(C, k2_relset_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)), B)) => v3_ltlaxio3(C)) ) ) ) ).
fof(fc8_ltlaxio4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_ltlaxio3(A))  &  (v3_ltlaxio3(A) & m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)))) )  &  (m3_ltlaxio4(B, A) & m1_subset_1(C, k9_xtuple_0(B))) )  =>  ( ~ (v2_ltlaxio3(k1_funct_1(B, C)))  & v3_ltlaxio3(k1_funct_1(B, C))) ) ) ).
fof(fc9_ltlaxio4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_ltlaxio3(A))  & m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))))  &  (m3_ltlaxio4(B, A) & m1_subset_1(C, k9_xtuple_0(B))) )  =>  ~ (v1_xboole_0(k1_trees_2(k9_xtuple_0(B), C))) ) ) ).
fof(fc10_ltlaxio4, axiom,  (! [A, B] :  ( ( ( ~ (v2_ltlaxio3(A))  & m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))))  & m3_ltlaxio4(B, A))  =>  ( ~ (v1_xboole_0(k11_ltlaxio4(A, B)))  & v1_finset_1(k11_ltlaxio4(A, B))) ) ) ).
fof(rc2_ltlaxio4, axiom,  (! [A, B] :  ( ( ( ~ (v2_ltlaxio3(A))  &  (v3_ltlaxio3(A) & m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)))) )  & m3_ltlaxio4(B, A))  =>  (? [C] :  (m4_ltlaxio4(C, A, B) &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, k9_xtuple_0(B)) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_xtuple_0(B)) & v2_ltlaxio4(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(fc11_ltlaxio4, axiom,  (! [A] :  ( ( ~ (v2_ltlaxio3(A))  & m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))))  => v1_ltlaxio4(k12_ltlaxio3(A))) ) ).
fof(t1_ltlaxio4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) & m1_finseq_2(B, A)) )  =>  (? [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  &  (r2_tarski(C, B) &  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (r2_tarski(D, B) => r1_xxreal_0(k3_finseq_1(D), k3_finseq_1(C))) ) ) ) ) ) ) ) ) ).
fof(t2_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) => m2_finseq_1(A, k4_ordinal1)) ) ).
fof(d1_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (v1_hilbert2(A) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (B=k2_ltlaxio4(A) <=>  (? [C] :  (m1_subset_1(C, k1_hilbert1) & k4_hilbert1(C, B)=A) ) ) ) ) ) ) ) ).
fof(d2_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (v1_ltlaxio4(A) <=>  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1))))) )  &  (? [C] :  (m1_subset_1(C, k4_ordinal1) & k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(B), k1_domain_1(k4_ordinal1, k1_hilbert1, C, A))=1) ) ) ) ) ) ) ).
fof(t3_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (r3_ltlaxio1(k1_subset_1(k1_hilbert1), A) <=>  ~ (v1_ltlaxio4(k1_ltlaxio1(A))) ) ) ) ).
fof(t4_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (v1_ltlaxio4(k4_ltlaxio1(k3_ltlaxio1, A)) => v1_ltlaxio4(A)) ) ) ).
fof(t5_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1))))) )  =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(C), k1_domain_1(k4_ordinal1, k1_hilbert1, D, k4_hilbert1(A, B)))=1 <=>  (? [E] :  (m1_subset_1(E, k4_ordinal1) &  ( ~ (r1_xxreal_0(E, D))  &  (k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(C), k1_domain_1(k4_ordinal1, k1_hilbert1, E, B))=1 &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  ~ ( ( ~ (r1_xxreal_0(F, D))  &  ( ~ (r1_xxreal_0(E, F))  &  ~ (k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(C), k1_domain_1(k4_ordinal1, k1_hilbert1, F, A))=1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_ltlaxio4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1))))) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_1(C, k1_hilbert1) =>  (k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(A), k1_domain_1(k4_ordinal1, k1_hilbert1, B, k7_partfun1(k1_hilbert1, k2_ltlaxio2(C), k3_finseq_1(k2_ltlaxio2(C)))))=1 <=>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(C)) => k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(A), k1_domain_1(k4_ordinal1, k1_hilbert1, B, k7_partfun1(k1_hilbert1, C, D)))=1) ) ) ) ) ) ) ) ) ) ).
fof(t7_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) => k12_ltlaxio3(k11_ltlaxio3(k6_finseq_1(k1_hilbert1), k12_finseq_1(k1_hilbert1, A)))=k4_ltlaxio1(k3_ltlaxio1, k1_ltlaxio1(A))) ) ).
fof(t8_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  ( (v3_ltlaxio3(C) & m1_subset_1(C, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))))  =>  (r2_tarski(k1_ltlaxio2(A, B), k10_ltlaxio3(C)) =>  (r2_tarski(A, k10_ltlaxio3(C)) &  (r2_tarski(B, k10_ltlaxio3(C)) & r2_tarski(k4_hilbert1(A, B), k10_ltlaxio3(C))) ) ) ) ) ) ) ) ) ).
fof(t9_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) => r1_tarski(k10_ltlaxio3(A), k5_setfam_1(k1_hilbert1, k7_ltlaxio3(k10_ltlaxio3(A))))) ) ).
fof(t10_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)))) => k3_ltlaxio4(k4_subset_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)), A, B))=k4_subset_1(k1_hilbert1, k3_ltlaxio4(A), k3_ltlaxio4(B))) ) ) ) ).
fof(t11_ltlaxio4, axiom, k3_ltlaxio4(k6_domain_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)), k11_ltlaxio3(k6_finseq_1(k1_hilbert1), k6_finseq_1(k1_hilbert1))))=k6_domain_1(k1_hilbert1, k4_ltlaxio1(k3_ltlaxio1, k3_ltlaxio1))).
fof(t12_ltlaxio4, axiom, r2_relset_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1), k4_ltlaxio4(k1_subset_1(k1_hilbert1)), k6_domain_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)), k11_ltlaxio3(k6_finseq_1(k1_hilbert1), k6_finseq_1(k1_hilbert1))))).
fof(d5_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  (r1_ltlaxio4(A, B) <=>  (r1_tarski(k2_relset_1(k1_hilbert1, k8_ltlaxio3(A)), k2_relset_1(k1_hilbert1, k8_ltlaxio3(B))) &  (r1_tarski(k2_relset_1(k1_hilbert1, k9_ltlaxio3(A)), k2_relset_1(k1_hilbert1, k9_ltlaxio3(B))) & k5_ltlaxio3(k10_ltlaxio3(A))=k10_ltlaxio3(B)) ) ) ) ) ) ) ).
fof(t13_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  (r1_ltlaxio4(A, B) => v3_ltlaxio3(B)) ) ) ) ) ).
fof(t14_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)))))  =>  (r2_tarski(A, B) => r1_relset_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1), k5_ltlaxio4(A), k6_ltlaxio4(B))) ) ) ) ) ).
fof(t15_ltlaxio4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_hilbert1))) )  =>  (? [B] :  (m1_subset_1(B, k1_hilbert1) &  (r2_tarski(B, k5_ltlaxio3(A)) & k5_ltlaxio3(k7_subset_1(k1_hilbert1, k5_ltlaxio3(A), k6_domain_1(k1_hilbert1, B)))=k7_subset_1(k1_hilbert1, k5_ltlaxio3(A), k6_domain_1(k1_hilbert1, B))) ) ) ) ) ).
fof(t16_ltlaxio4, axiom,  (! [A] :  ( (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)))  =>  (! [B] :  (m2_finseq_1(B, k1_hilbert1) =>  (k2_relset_1(k1_hilbert1, B)=k3_ltlaxio4(k4_ltlaxio4(A)) => r8_ltlaxio1(k1_subset_1(k1_hilbert1), k1_ltlaxio1(k7_partfun1(k1_hilbert1, k2_ltlaxio2(k4_ltlaxio2(B)), k3_finseq_1(k2_ltlaxio2(k4_ltlaxio2(B))))))) ) ) ) ) ).
fof(t17_ltlaxio4, axiom,  (! [A] :  ( ( ~ (v2_ltlaxio3(A))  & m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))))  =>  (! [B] :  (m2_finseq_1(B, k1_hilbert1) =>  (k2_relset_1(k1_hilbert1, B)=k3_ltlaxio4(k5_ltlaxio4(A)) => r8_ltlaxio1(k1_subset_1(k1_hilbert1), k3_hilbert1(k12_ltlaxio3(A), k1_ltlaxio1(k7_partfun1(k1_hilbert1, k2_ltlaxio2(k4_ltlaxio2(B)), k3_finseq_1(k2_ltlaxio2(k4_ltlaxio2(B)))))))) ) ) ) ) ).
fof(t18_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)), k8_ltlaxio4(A)) => r8_ltlaxio1(k1_subset_1(k1_hilbert1), k3_hilbert1(k12_ltlaxio3(A), k2_ltlaxio1(k12_ltlaxio3(B))))) ) ) ) ).
fof(t19_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  ( (r2_tarski(B, k9_ltlaxio4(A)) & r2_tarski(C, k8_ltlaxio4(A)))  => r1_ltlaxio4(C, B)) ) ) ) ) ) ) ).
fof(t20_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  (r2_tarski(B, k9_ltlaxio4(A)) => v3_ltlaxio3(B)) ) ) ) ) ).
fof(t21_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  ( (r2_tarski(k4_hilbert1(A, B), k2_relset_1(k1_hilbert1, k9_ltlaxio3(C))) & r2_tarski(D, k9_ltlaxio4(C)))  => r2_tarski(k1_ltlaxio2(A, B), k2_relset_1(k1_hilbert1, k9_ltlaxio3(D)))) ) ) ) ) ) ) ) ) ).
fof(t22_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  ( (r2_tarski(k4_hilbert1(A, B), k2_relset_1(k1_hilbert1, k8_ltlaxio3(C))) & r2_tarski(D, k9_ltlaxio4(C)))  => r2_tarski(k1_ltlaxio2(A, B), k2_relset_1(k1_hilbert1, k8_ltlaxio3(D)))) ) ) ) ) ) ) ) ) ).
fof(t23_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  ( (r2_tarski(C, k9_ltlaxio4(B)) & r1_tarski(k10_ltlaxio3(B), k5_setfam_1(k1_hilbert1, k7_ltlaxio3(k10_ltlaxio3(A)))))  => r1_tarski(k10_ltlaxio3(C), k5_setfam_1(k1_hilbert1, k7_ltlaxio3(k10_ltlaxio3(A))))) ) ) ) ) ) ) ).
fof(t24_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  ( ( ~ (v2_ltlaxio3(C))  &  (v3_ltlaxio3(C) & m1_subset_1(C, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)))) )  =>  (! [D] :  (m2_subset_1(D, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)), k9_ltlaxio4(C)) =>  (r2_tarski(k4_hilbert1(A, B), k2_relset_1(k1_hilbert1, k9_ltlaxio3(C))) =>  (r2_tarski(B, k2_relset_1(k1_hilbert1, k9_ltlaxio3(D))) &  (r2_tarski(A, k2_relset_1(k1_hilbert1, k9_ltlaxio3(D))) | r2_tarski(k4_hilbert1(A, B), k2_relset_1(k1_hilbert1, k9_ltlaxio3(D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  ( ( ~ (v2_ltlaxio3(C))  &  (v3_ltlaxio3(C) & m1_subset_1(C, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)))) )  =>  (! [D] :  (m2_subset_1(D, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)), k9_ltlaxio4(C)) =>  ~ ( (r2_tarski(k4_hilbert1(A, B), k2_relset_1(k1_hilbert1, k8_ltlaxio3(C))) &  ( ~ (r2_tarski(B, k2_relset_1(k1_hilbert1, k8_ltlaxio3(D))))  &  ~ ( (r2_tarski(A, k2_relset_1(k1_hilbert1, k8_ltlaxio3(D))) & r2_tarski(k4_hilbert1(A, B), k2_relset_1(k1_hilbert1, k8_ltlaxio3(D)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  (! [B] :  (m3_ltlaxio4(B, A) =>  (! [C] :  (m1_trees_1(C, k9_xtuple_0(B)) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(k7_finseq_1(C, k9_finseq_1(D)), k9_xtuple_0(B)) => r2_tarski(k1_funct_1(B, k7_finseq_1(C, k9_finseq_1(D))), k9_ltlaxio4(k3_trees_2(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)), B, C)))) ) ) ) ) ) ) ) ) ).
fof(t27_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  (! [C] :  (m3_ltlaxio4(C, A) =>  (r2_tarski(B, k2_relset_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)), C)) => r1_tarski(k10_ltlaxio3(B), k5_setfam_1(k1_hilbert1, k7_ltlaxio3(k10_ltlaxio3(A))))) ) ) ) ) ) ) ).
fof(t28_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  (! [D] :  (m3_ltlaxio4(D, A) =>  ( (r2_tarski(C, k2_relset_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)), D)) & r2_tarski(B, k8_ltlaxio4(C)))  => r1_relset_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1), k5_ltlaxio4(B), k11_ltlaxio4(A, D))) ) ) ) ) ) ) ) ) ).
fof(t29_ltlaxio4, axiom,  (! [A] :  ( ( ~ (v2_ltlaxio3(A))  &  (v3_ltlaxio3(A) & m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)))) )  =>  (! [B] :  (m3_ltlaxio4(B, A) =>  (! [C] :  (m2_finseq_1(C, k1_hilbert1) =>  (k2_relset_1(k1_hilbert1, C)=k3_ltlaxio4(k11_ltlaxio4(A, B)) => r8_ltlaxio1(k1_subset_1(k1_hilbert1), k3_hilbert1(k1_ltlaxio1(k7_partfun1(k1_hilbert1, k2_ltlaxio2(k4_ltlaxio2(C)), k3_finseq_1(k2_ltlaxio2(k4_ltlaxio2(C))))), k2_ltlaxio1(k1_ltlaxio1(k7_partfun1(k1_hilbert1, k2_ltlaxio2(k4_ltlaxio2(C)), k3_finseq_1(k2_ltlaxio2(k4_ltlaxio2(C))))))))) ) ) ) ) ) ) ).
fof(d13_ltlaxio4, axiom,  (! [A] :  ( ( ~ (v2_ltlaxio3(A))  & m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))))  =>  (! [B] :  (m3_ltlaxio4(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_xtuple_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_xtuple_0(B))))) )  =>  (m4_ltlaxio4(C, A, B) <=>  (k3_funct_2(k4_ordinal1, k9_xtuple_0(B), C, k5_numbers)=k1_xboole_0 &  (! [D] :  (v7_ordinal1(D) => r2_tarski(k3_funct_2(k4_ordinal1, k9_xtuple_0(B), C, k1_nat_1(D, 1)), k1_trees_2(k9_xtuple_0(B), k8_nat_1(k9_xtuple_0(B), C, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t30_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_ltlaxio3(D))  &  (v3_ltlaxio3(D) & m1_subset_1(D, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)))) )  =>  (! [E] :  (m3_ltlaxio4(E, D) =>  (! [F] :  (m4_ltlaxio4(F, D, E) =>  (r2_tarski(k4_hilbert1(A, B), k2_relset_1(k1_hilbert1, k9_ltlaxio3(k3_trees_2(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)), E, k12_ltlaxio4(D, E, F, C))))) =>  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  ~ ( ( ~ (r1_xxreal_0(G, C))  &  ( ~ (r2_tarski(B, k2_relset_1(k1_hilbert1, k9_ltlaxio3(k3_trees_2(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)), E, k12_ltlaxio4(D, E, F, G))))))  &  (! [H] :  (m1_subset_1(H, k4_ordinal1) =>  ~ ( ( ~ (r1_xxreal_0(H, C))  &  ( ~ (r1_xxreal_0(G, H))  & r2_tarski(A, k2_relset_1(k1_hilbert1, k9_ltlaxio3(k3_trees_2(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)), E, k12_ltlaxio4(D, E, F, H)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  ( ( ~ (v2_ltlaxio3(C))  &  (v3_ltlaxio3(C) & m1_subset_1(C, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)))) )  =>  (! [D] :  (m3_ltlaxio4(D, C) =>  ( (r2_tarski(k4_hilbert1(A, B), k2_relset_1(k1_hilbert1, k8_ltlaxio3(C))) &  (! [E] :  (m2_subset_1(E, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)), k11_ltlaxio4(C, D)) =>  ~ (r2_tarski(B, k2_relset_1(k1_hilbert1, k8_ltlaxio3(E)))) ) ) )  =>  (! [E] :  (m2_subset_1(E, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)), k11_ltlaxio4(C, D)) =>  (r2_tarski(B, k2_relset_1(k1_hilbert1, k9_ltlaxio3(E))) & r2_tarski(k4_hilbert1(A, B), k2_relset_1(k1_hilbert1, k8_ltlaxio3(E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  ( ( ~ (v2_ltlaxio3(C))  &  (v3_ltlaxio3(C) & m1_subset_1(C, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)))) )  =>  (! [D] :  (m3_ltlaxio4(D, C) =>  ~ ( (r2_tarski(k4_hilbert1(A, B), k2_relset_1(k1_hilbert1, k8_ltlaxio3(C))) &  (! [E] :  (m2_subset_1(E, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)), k11_ltlaxio4(C, D)) =>  ~ (r2_tarski(B, k2_relset_1(k1_hilbert1, k8_ltlaxio3(E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_ltlaxio4, axiom,  (! [A] :  ( ( ~ (v2_ltlaxio3(A))  & m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))))  =>  (! [B] :  (m3_ltlaxio4(B, A) =>  (! [C] :  (m4_ltlaxio4(C, A, B) =>  (v2_ltlaxio4(C, A, B) <=>  (! [D] :  (m1_subset_1(D, k1_hilbert1) =>  (! [E] :  (m1_subset_1(E, k1_hilbert1) =>  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r2_tarski(k4_hilbert1(D, E), k2_relset_1(k1_hilbert1, k8_ltlaxio3(k3_trees_2(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)), B, k8_nat_1(k9_xtuple_0(B), C, F))))) &  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  ~ ( ( ~ (r1_xxreal_0(G, F))  &  (r2_tarski(E, k2_relset_1(k1_hilbert1, k8_ltlaxio3(k3_trees_2(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)), B, k3_funct_2(k4_ordinal1, k9_xtuple_0(B), C, G))))) &  (! [H] :  (m1_subset_1(H, k4_ordinal1) =>  ~ ( ( ~ (r1_xxreal_0(H, F))  &  ( ~ (r1_xxreal_0(G, H))  &  ~ (r2_tarski(D, k2_relset_1(k1_hilbert1, k8_ltlaxio3(k3_trees_2(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)), B, k3_funct_2(k4_ordinal1, k9_xtuple_0(B), C, H)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)))  =>  (r3_ltlaxio1(B, A) => r8_ltlaxio1(B, A)) ) ) ) ) ).
fof(dt_m1_ltlaxio4, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m1_ltlaxio4(B, A) =>  (v2_funct_1(B) & m2_finseq_1(B, A)) ) ) ) ) ).
fof(existence_m1_ltlaxio4, axiom,  (! [A] :  (v1_finset_1(A) =>  (? [B] : m1_ltlaxio4(B, A)) ) ) ).
fof(redefinition_m1_ltlaxio4, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m1_ltlaxio4(B, A) <=> m1_rlaffin3(B, A)) ) ) ) ).
fof(dt_m2_ltlaxio4, axiom,  (! [A, B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(A)))  =>  (! [C] :  (m2_ltlaxio4(C, A, B) =>  (v2_funct_1(C) & m2_finseq_1(C, A)) ) ) ) ) ).
fof(existence_m2_ltlaxio4, axiom,  (! [A, B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(A)))  =>  (? [C] : m2_ltlaxio4(C, A, B)) ) ) ).
fof(redefinition_m2_ltlaxio4, axiom,  (! [A, B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(A)))  =>  (! [C] :  (m2_ltlaxio4(C, A, B) <=> m1_rlaffin3(C, B)) ) ) ) ).
fof(dt_k1_ltlaxio4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_trees_2(A)) )  &  (m1_subset_1(B, k4_ordinal1) & m1_subset_1(C, k9_xtuple_0(A))) )  => m1_trees_1(k1_ltlaxio4(A, B, C), k9_xtuple_0(A))) ) ).
fof(redefinition_k1_ltlaxio4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_trees_2(A)) )  &  (m1_subset_1(B, k4_ordinal1) & m1_subset_1(C, k9_xtuple_0(A))) )  => k1_ltlaxio4(A, B, C)=k16_finseq_1(B, C)) ) ).
fof(dt_k2_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) => m1_subset_1(k2_ltlaxio4(A), k1_hilbert1)) ) ).
fof(dt_k3_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)))) => m1_subset_1(k3_ltlaxio4(A), k1_zfmisc_1(k1_hilbert1))) ) ).
fof(dt_k4_ltlaxio4, axiom,  (! [A] :  ( (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)))  =>  ( ~ (v1_xboole_0(k4_ltlaxio4(A)))  &  (v1_finset_1(k4_ltlaxio4(A)) & m1_subset_1(k4_ltlaxio4(A), k1_zfmisc_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))))) ) ) ) ).
fof(dt_k5_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  (v1_finset_1(k5_ltlaxio4(A)) & m1_subset_1(k5_ltlaxio4(A), k1_zfmisc_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))))) ) ) ).
fof(dt_k6_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)))) => m1_subset_1(k6_ltlaxio4(A), k1_zfmisc_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))))) ) ).
fof(dt_k7_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) => m1_subset_1(k7_ltlaxio4(A), k1_zfmisc_1(k1_hilbert1))) ) ).
fof(dt_k8_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  ( ~ (v1_xboole_0(k8_ltlaxio4(A)))  &  (v1_finset_1(k8_ltlaxio4(A)) & m1_subset_1(k8_ltlaxio4(A), k1_zfmisc_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))))) ) ) ) ).
fof(dt_k9_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  (v1_finset_1(k9_ltlaxio4(A)) & m1_subset_1(k9_ltlaxio4(A), k1_zfmisc_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))))) ) ) ).
fof(dt_m3_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  (! [B] :  (m3_ltlaxio4(B, A) =>  (v1_relat_1(B) &  (v5_relat_1(B, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) &  (v1_funct_1(B) &  (v3_trees_2(B) & v3_trees_9(B)) ) ) ) ) ) ) ) ).
fof(existence_m3_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  (? [B] : m3_ltlaxio4(B, A)) ) ) ).
fof(dt_k10_ltlaxio4, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) &  (m3_ltlaxio4(B, A) & m1_subset_1(C, k9_xtuple_0(B))) )  => m3_ltlaxio4(k10_ltlaxio4(A, B, C), k3_trees_2(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)), B, C))) ) ).
fof(redefinition_k10_ltlaxio4, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) &  (m3_ltlaxio4(B, A) & m1_subset_1(C, k9_xtuple_0(B))) )  => k10_ltlaxio4(A, B, C)=k5_trees_2(B, C)) ) ).
fof(dt_k11_ltlaxio4, axiom,  (! [A, B] :  ( (m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) & m3_ltlaxio4(B, A))  =>  (v1_finset_1(k11_ltlaxio4(A, B)) & m1_subset_1(k11_ltlaxio4(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))))) ) ) ).
fof(dt_m4_ltlaxio4, axiom,  (! [A, B] :  ( ( ( ~ (v2_ltlaxio3(A))  & m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))))  & m3_ltlaxio4(B, A))  =>  (! [C] :  (m4_ltlaxio4(C, A, B) =>  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_xtuple_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_xtuple_0(B))))) ) ) ) ) ) ).
fof(existence_m4_ltlaxio4, axiom,  (! [A, B] :  ( ( ( ~ (v2_ltlaxio3(A))  & m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))))  & m3_ltlaxio4(B, A))  =>  (? [C] : m4_ltlaxio4(C, A, B)) ) ) ).
fof(dt_k12_ltlaxio4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_ltlaxio3(A))  &  (v3_ltlaxio3(A) & m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)))) )  &  (m3_ltlaxio4(B, A) &  (m4_ltlaxio4(C, A, B) & v7_ordinal1(D)) ) )  => m1_trees_1(k12_ltlaxio4(A, B, C, D), k9_xtuple_0(B))) ) ).
fof(redefinition_k12_ltlaxio4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_ltlaxio3(A))  &  (v3_ltlaxio3(A) & m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)))) )  &  (m3_ltlaxio4(B, A) &  (m4_ltlaxio4(C, A, B) & v7_ordinal1(D)) ) )  => k12_ltlaxio4(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(d3_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)))) => k3_ltlaxio4(A)=a_1_0_ltlaxio4(A)) ) ).
fof(d4_ltlaxio4, axiom,  (! [A] :  ( (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)))  => k4_ltlaxio4(A)=a_1_1_ltlaxio4(A)) ) ).
fof(d6_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) => k5_ltlaxio4(A)=a_1_2_ltlaxio4(A)) ) ).
fof(d7_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)))) => k6_ltlaxio4(A)=k3_tarski(a_1_3_ltlaxio4(A))) ) ).
fof(d8_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) => k7_ltlaxio4(A)=a_1_4_ltlaxio4(A)) ) ).
fof(d9_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) => k8_ltlaxio4(A)=a_1_5_ltlaxio4(A)) ) ).
fof(d10_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) => k9_ltlaxio4(A)=a_1_6_ltlaxio4(A)) ) ).
fof(d11_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) &  (v1_funct_1(B) &  (v3_trees_2(B) & v3_trees_9(B)) ) ) )  =>  (m3_ltlaxio4(B, A) <=>  (k1_funct_1(B, k1_xboole_0)=A &  (! [C] :  (m1_trees_1(C, k9_xtuple_0(B)) =>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  (D=k3_trees_2(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)), B, C) => k2_trees_9(B, C)=o_1_7_ltlaxio4(D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  (! [B] :  (m3_ltlaxio4(B, A) => k11_ltlaxio4(A, B)=a_2_0_ltlaxio4(A, B)) ) ) ) ).
fof(fraenkel_a_1_0_ltlaxio4, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)))) =>  (r2_hidden(A, a_1_0_ltlaxio4(B)) <=>  (? [C] :  (m1_subset_1(C, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) &  (A=k12_ltlaxio3(C) & r2_tarski(C, B)) ) ) ) ) ) ).
fof(fraenkel_a_1_1_ltlaxio4, axiom,  (! [A, B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)))  =>  (r2_hidden(A, a_1_1_ltlaxio4(B)) <=>  (? [C] :  (m1_subset_1(C, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) &  (A=C &  (k10_ltlaxio3(C)=k5_ltlaxio3(B) & r1_xboole_0(k2_relset_1(k1_hilbert1, k8_ltlaxio3(C)), k2_relset_1(k1_hilbert1, k9_ltlaxio3(C)))) ) ) ) ) ) ) ).
fof(fraenkel_a_1_2_ltlaxio4, axiom,  (! [A, B] :  (m1_subset_1(B, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  (r2_hidden(A, a_1_2_ltlaxio4(B)) <=>  (? [C] :  ( ( ~ (v2_ltlaxio3(C))  & m1_subset_1(C, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))))  &  (A=C & r1_ltlaxio4(B, C)) ) ) ) ) ) ).
fof(fraenkel_a_1_3_ltlaxio4, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)))) =>  (r2_hidden(A, a_1_3_ltlaxio4(B)) <=>  (? [C] :  (m1_subset_1(C, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) &  (A=k5_ltlaxio4(C) & r2_tarski(C, B)) ) ) ) ) ) ).
fof(fraenkel_a_1_4_ltlaxio4, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  (r2_hidden(A, a_1_4_ltlaxio4(B)) <=>  (? [C, D] :  ( (m1_subset_1(C, k1_hilbert1) & m1_subset_1(D, k1_hilbert1))  &  (A=k1_ltlaxio2(C, D) & r2_tarski(k4_hilbert1(C, D), B)) ) ) ) ) ) ).
fof(fraenkel_a_1_5_ltlaxio4, axiom,  (! [A, B] :  (m1_subset_1(B, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  (r2_hidden(A, a_1_5_ltlaxio4(B)) <=>  (? [C] :  (m1_subset_1(C, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) &  (A=C &  (k2_relset_1(k1_hilbert1, k8_ltlaxio3(C))=k7_ltlaxio4(k2_relset_1(k1_hilbert1, k8_ltlaxio3(B))) & k2_relset_1(k1_hilbert1, k9_ltlaxio3(C))=k7_ltlaxio4(k2_relset_1(k1_hilbert1, k9_ltlaxio3(B)))) ) ) ) ) ) ) ).
fof(fraenkel_a_1_6_ltlaxio4, axiom,  (! [A, B] :  (m1_subset_1(B, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) =>  (r2_hidden(A, a_1_6_ltlaxio4(B)) <=>  (? [C] :  (m1_subset_1(C, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) &  (A=C & r2_tarski(C, k6_ltlaxio4(k8_ltlaxio4(B)))) ) ) ) ) ) ).
fof(dt_o_1_7_ltlaxio4, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) => m2_ltlaxio4(o_1_7_ltlaxio4(A), k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)), k9_ltlaxio4(A))) ) ).
fof(fraenkel_a_2_0_ltlaxio4, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1))) & m3_ltlaxio4(C, B))  =>  (r2_hidden(A, a_2_0_ltlaxio4(B, C)) <=>  (? [D] :  (m1_trees_1(D, k9_xtuple_0(C)) &  (A=k3_trees_2(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1), k1_ltlaxio3(k1_hilbert1)), C, D) &  ~ (D=k1_xboole_0) ) ) ) ) ) ) ).
fof(fc1_ltlaxio5, axiom,  (! [A] :  ( (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)))  => v1_finset_1(k1_ltlaxio5(A))) ) ).
fof(t1_ltlaxio5, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, k3_finseq_1(B)))  => k1_funct_1(B, C)=k7_partfun1(A, B, C)) ) ) ) ) ) ).
fof(t2_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_hilbert1)) =>  ( (r1_tarski(B, C) & r8_ltlaxio1(B, A))  => r8_ltlaxio1(C, A)) ) ) ) ) ) ) ).
fof(t3_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) => v1_ltlaxio1(k3_hilbert1(k3_hilbert1(A, B), k3_hilbert1(k3_hilbert1(B, C), k3_hilbert1(A, C))))) ) ) ) ) ) ).
fof(t4_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) => v1_ltlaxio1(k3_hilbert1(k3_hilbert1(A, k3_hilbert1(B, C)), k3_hilbert1(k3_hilbert1(A, B), k3_hilbert1(A, C))))) ) ) ) ) ) ).
fof(t5_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) => r8_ltlaxio1(B, k3_hilbert1(k6_ltlaxio1(A), A))) ) ) ) ).
fof(t6_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) => r3_ltlaxio1(k6_domain_1(k1_hilbert1, A), k6_ltlaxio1(k2_ltlaxio1(A)))) ) ).
fof(t7_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) => r8_ltlaxio1(B, k3_hilbert1(k6_ltlaxio1(A), k6_ltlaxio1(k2_ltlaxio1(A))))) ) ) ) ).
fof(t8_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_hilbert1)) => r8_ltlaxio1(C, k3_hilbert1(k6_ltlaxio1(k3_hilbert1(A, B)), k3_hilbert1(k6_ltlaxio1(k3_hilbert1(A, k2_ltlaxio1(A))), k6_ltlaxio1(k3_hilbert1(A, k6_ltlaxio1(B))))))) ) ) ) ) ) ).
fof(d1_ltlaxio5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1))))) )  =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (r1_ltlaxio5(A, B) <=> k3_funct_2(k2_zfmisc_1(k4_ordinal1, k1_hilbert1), k5_margrel1, k11_ltlaxio1(A), k1_domain_1(k4_ordinal1, k1_hilbert1, k5_numbers, B))=1) ) ) ) ) ).
fof(d2_ltlaxio5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1))))) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  (r2_ltlaxio5(A, B) <=>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (r2_tarski(C, B) => r1_ltlaxio5(A, C)) ) ) ) ) ) ) ) ).
fof(d3_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (r3_ltlaxio5(A, B) <=>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1))))) )  =>  (r2_ltlaxio5(C, A) => r1_ltlaxio5(C, B)) ) ) ) ) ) ) ) ).
fof(t9_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1))))) )  =>  (r2_ltlaxio1(B, A) => r2_ltlaxio5(B, A)) ) ) ) ) ).
fof(t10_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1))))) )  =>  (r1_ltlaxio1(B, A) <=> r1_ltlaxio5(B, k6_ltlaxio1(A))) ) ) ) ) ).
fof(t11_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  (r3_ltlaxio5(B, A) => r3_ltlaxio1(B, A)) ) ) ) ) ).
fof(t12_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1))))) )  =>  (r2_ltlaxio1(B, A) <=> r2_ltlaxio5(B, k1_ltlaxio5(A))) ) ) ) ) ).
fof(t13_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  (r3_ltlaxio1(B, A) <=> r3_ltlaxio5(k1_ltlaxio5(B), A)) ) ) ) ) ).
fof(t14_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (r3_ltlaxio1(k6_domain_1(k1_hilbert1, k1_hilbert2(A)), k2_ltlaxio1(k1_hilbert2(A))) &  ~ (r3_ltlaxio5(k6_domain_1(k1_hilbert1, k1_hilbert2(A)), k2_ltlaxio1(k1_hilbert2(A)))) ) ) ) ).
fof(t15_ltlaxio5, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) &  (? [B] :  (m1_subset_1(B, k1_hilbert1) &  (r3_ltlaxio1(A, B) &  ~ (r3_ltlaxio5(A, B)) ) ) ) ) ) ).
fof(t16_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  (r3_ltlaxio5(B, k6_ltlaxio1(A)) => r3_ltlaxio1(B, A)) ) ) ) ) ).
fof(t17_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (r3_ltlaxio1(k6_domain_1(k1_hilbert1, k1_hilbert2(A)), k1_hilbert2(A)) &  ~ (r3_ltlaxio5(k6_domain_1(k1_hilbert1, k1_hilbert2(A)), k6_ltlaxio1(k1_hilbert2(A)))) ) ) ) ).
fof(t18_ltlaxio5, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) &  (? [B] :  (m1_subset_1(B, k1_hilbert1) &  (r3_ltlaxio1(A, B) &  ~ (r3_ltlaxio5(A, k6_ltlaxio1(B))) ) ) ) ) ) ).
fof(t19_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1))))) )  =>  ( (r2_ltlaxio5(C, A) & r2_ltlaxio5(C, B))  <=> r2_ltlaxio5(C, k4_subset_1(k1_hilbert1, A, B))) ) ) ) ) ) ) ).
fof(t20_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k10_ltlaxio1))))) )  =>  (r1_ltlaxio5(B, A) <=> r2_ltlaxio5(B, k6_domain_1(k1_hilbert1, A))) ) ) ) ) ).
fof(t21_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_hilbert1)) =>  (r3_ltlaxio5(k4_subset_1(k1_hilbert1, C, k6_domain_1(k1_hilbert1, A)), B) <=> r3_ltlaxio5(C, k3_hilbert1(A, B))) ) ) ) ) ) ) ).
fof(t22_ltlaxio5, axiom, k1_ltlaxio5(k1_subset_1(k1_hilbert1))=k1_subset_1(k1_hilbert1)).
fof(t23_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  ( (r3_ltlaxio1(B, A) &  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (r2_tarski(C, B) => r3_ltlaxio1(k1_subset_1(k1_hilbert1), C)) ) ) )  => r3_ltlaxio1(k1_subset_1(k1_hilbert1), A)) ) ) ) ) ).
fof(t24_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  ( (r3_ltlaxio1(B, A) &  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (r2_tarski(C, B) => r3_ltlaxio5(k1_subset_1(k1_hilbert1), C)) ) ) )  => r3_ltlaxio5(k1_subset_1(k1_hilbert1), A)) ) ) ) ) ).
fof(t25_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (r3_ltlaxio5(k1_subset_1(k1_hilbert1), A) => r3_ltlaxio5(k1_subset_1(k1_hilbert1), k2_ltlaxio1(A))) ) ) ).
fof(d5_ltlaxio5, axiom, k2_ltlaxio5=k1_ltlaxio5(k13_ltlaxio1)).
fof(d6_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (r4_ltlaxio5(A, B) <=> A=k6_ltlaxio1(B)) ) ) ) ) ).
fof(d7_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (r5_ltlaxio5(A, B) <=>  (? [C] :  (m1_subset_1(C, k1_hilbert1) &  (A=k6_ltlaxio1(C) & B=k6_ltlaxio1(k2_ltlaxio1(C))) ) ) ) ) ) ) ) ).
fof(d8_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (r6_ltlaxio5(A, B, C) <=>  (? [D] :  (m1_subset_1(D, k1_hilbert1) &  (? [E] :  (m1_subset_1(E, k1_hilbert1) &  (A=k6_ltlaxio1(D) &  (B=k6_ltlaxio1(k3_hilbert1(D, E)) & C=k6_ltlaxio1(E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  (r7_ltlaxio5(A, B, C) <=>  (? [D] :  (m1_subset_1(D, k1_hilbert1) &  (? [E] :  (m1_subset_1(E, k1_hilbert1) &  (A=k6_ltlaxio1(k3_hilbert1(D, E)) &  (B=k6_ltlaxio1(k3_hilbert1(D, k2_ltlaxio1(D))) & C=k6_ltlaxio1(k3_hilbert1(D, k6_ltlaxio1(E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_ltlaxio5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_hilbert1)) =>  (r8_ltlaxio5(A, B, C) <=>  ~ ( ( ~ (r2_tarski(k1_funct_1(B, A), k2_ltlaxio5))  &  ( ~ (r2_tarski(k1_funct_1(B, A), C))  &  ( (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, D) &  ( ~ (r1_xxreal_0(A, D))  &  (r1_xxreal_0(1, E) &  ( ~ (r1_xxreal_0(A, E))  &  ~ ( ( ~ (r5_ltlaxio1(k7_partfun1(k1_hilbert1, B, D), k7_partfun1(k1_hilbert1, B, E), k7_partfun1(k1_hilbert1, B, A)))  &  ( ~ (r6_ltlaxio5(k7_partfun1(k1_hilbert1, B, D), k7_partfun1(k1_hilbert1, B, E), k7_partfun1(k1_hilbert1, B, A)))  &  ~ (r7_ltlaxio5(k7_partfun1(k1_hilbert1, B, D), k7_partfun1(k1_hilbert1, B, E), k7_partfun1(k1_hilbert1, B, A))) ) ) ) ) ) ) ) ) ) ) ) )  &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(1, D) &  ( ~ (r1_xxreal_0(A, D))  &  (r5_ltlaxio5(k7_partfun1(k1_hilbert1, B, D), k7_partfun1(k1_hilbert1, B, A)) | r4_ltlaxio5(k7_partfun1(k1_hilbert1, B, D), k7_partfun1(k1_hilbert1, B, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) =>  (! [B] :  (m2_finseq_1(B, k1_hilbert1) =>  (! [C] :  (m2_finseq_1(C, k1_hilbert1) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(k1_nat_1(E, k3_finseq_1(B)), k3_finseq_1(C)) &  ( (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(1, F) & r1_xxreal_0(F, k3_finseq_1(B)))  => k1_funct_1(B, F)=k1_funct_1(C, k2_xcmplx_0(F, E))) ) )  &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k3_finseq_1(B)) & r8_ltlaxio5(D, B, A)) ) ) )  => r8_ltlaxio5(k2_xcmplx_0(D, E), C, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) =>  (! [B] :  (m2_finseq_1(B, k1_hilbert1) =>  (! [C] :  (m2_finseq_1(C, k1_hilbert1) =>  (! [D] :  (m2_finseq_1(D, k1_hilbert1) =>  ( (D=k8_finseq_1(k1_hilbert1, B, C) &  (r1_xxreal_0(1, k3_finseq_1(B)) &  (r1_xxreal_0(1, k3_finseq_1(C)) &  ( (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, k3_finseq_1(B)))  => r8_ltlaxio5(E, B, A)) ) )  &  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, k3_finseq_1(C)))  => r8_ltlaxio5(E, C, A)) ) ) ) ) ) )  =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, k3_finseq_1(D)))  => r8_ltlaxio5(E, D, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (r9_ltlaxio5(A, B) <=>  (? [C] :  (m2_finseq_1(C, k1_hilbert1) &  (k1_funct_1(C, k3_finseq_1(C))=B &  (r1_xxreal_0(1, k3_finseq_1(C)) &  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, k3_finseq_1(C)))  => r8_ltlaxio5(D, C, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  (! [C] :  (m2_finseq_1(C, k1_hilbert1) =>  (! [D] :  (m2_finseq_1(D, k1_hilbert1) =>  ( (C=k8_finseq_1(k1_hilbert1, D, k12_finseq_1(k1_hilbert1, A)) &  (r1_xxreal_0(1, k3_finseq_1(D)) &  ( (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, k3_finseq_1(D)))  => r8_ltlaxio5(E, D, B)) ) )  & r8_ltlaxio5(k3_finseq_1(C), C, B)) ) )  =>  ( (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, k3_finseq_1(C)))  => r8_ltlaxio5(E, C, B)) ) )  & r9_ltlaxio5(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(t29_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  (r2_tarski(A, k2_ltlaxio5) => r3_ltlaxio5(B, A)) ) ) ) ) ).
fof(t30_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_hilbert1)) =>  ( (r3_ltlaxio5(C, A) & r3_ltlaxio5(C, k3_hilbert1(A, B)))  => r3_ltlaxio5(C, B)) ) ) ) ) ) ) ).
fof(t31_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_hilbert1)) =>  ( (r3_ltlaxio5(C, k6_ltlaxio1(A)) & r3_ltlaxio5(C, k6_ltlaxio1(k3_hilbert1(A, B))))  => r3_ltlaxio5(C, k6_ltlaxio1(B))) ) ) ) ) ) ) ).
fof(t32_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  (r3_ltlaxio5(B, k6_ltlaxio1(A)) => r3_ltlaxio5(B, k6_ltlaxio1(k2_ltlaxio1(A)))) ) ) ) ) ).
fof(t33_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  (r3_ltlaxio5(B, k6_ltlaxio1(A)) => r3_ltlaxio5(B, A)) ) ) ) ) ).
fof(t34_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_hilbert1)) =>  ( (r3_ltlaxio5(C, k6_ltlaxio1(k3_hilbert1(A, B))) & r3_ltlaxio5(C, k6_ltlaxio1(k3_hilbert1(A, k2_ltlaxio1(A)))))  => r3_ltlaxio5(C, k6_ltlaxio1(k3_hilbert1(A, k6_ltlaxio1(B))))) ) ) ) ) ) ) ).
fof(t35_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  (r9_ltlaxio5(B, A) => r3_ltlaxio5(B, A)) ) ) ) ) ).
fof(t36_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  ( (r2_tarski(A, k2_ltlaxio5) | r2_tarski(A, B))  => r9_ltlaxio5(B, A)) ) ) ) ) ).
fof(t37_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  (r9_ltlaxio5(B, k6_ltlaxio1(A)) => r9_ltlaxio5(B, A)) ) ) ) ) ).
fof(t38_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  (r9_ltlaxio5(B, k6_ltlaxio1(A)) => r9_ltlaxio5(B, k6_ltlaxio1(k2_ltlaxio1(A)))) ) ) ) ) ).
fof(t39_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_hilbert1)) =>  ( (r9_ltlaxio5(C, A) & r9_ltlaxio5(C, k3_hilbert1(A, B)))  => r9_ltlaxio5(C, B)) ) ) ) ) ) ) ).
fof(t40_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_hilbert1)) =>  ( (r9_ltlaxio5(C, k6_ltlaxio1(A)) & r9_ltlaxio5(C, k6_ltlaxio1(k3_hilbert1(A, B))))  => r9_ltlaxio5(C, k6_ltlaxio1(B))) ) ) ) ) ) ) ).
fof(t41_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_hilbert1)) =>  ( (r9_ltlaxio5(C, k6_ltlaxio1(k3_hilbert1(A, B))) & r9_ltlaxio5(C, k6_ltlaxio1(k3_hilbert1(A, k2_ltlaxio1(A)))))  => r9_ltlaxio5(C, k6_ltlaxio1(k3_hilbert1(A, k6_ltlaxio1(B))))) ) ) ) ) ) ) ).
fof(t42_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  (r2_tarski(A, k13_ltlaxio1) => r9_ltlaxio5(B, A)) ) ) ) ) ).
fof(t43_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  (r2_tarski(A, k2_ltlaxio5) => r8_ltlaxio1(B, A)) ) ) ) ) ).
fof(t44_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (r8_ltlaxio1(k1_subset_1(k1_hilbert1), A) => r9_ltlaxio5(k1_subset_1(k1_hilbert1), A)) ) ) ).
fof(t45_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (r8_ltlaxio1(k6_domain_1(k1_hilbert1, k1_hilbert2(A)), k2_ltlaxio1(k1_hilbert2(A))) &  ~ (r9_ltlaxio5(k6_domain_1(k1_hilbert1, k1_hilbert2(A)), k2_ltlaxio1(k1_hilbert2(A)))) ) ) ) ).
fof(t46_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_hilbert1)) =>  ( (r1_tarski(B, C) & r9_ltlaxio5(B, A))  => r9_ltlaxio5(C, A)) ) ) ) ) ) ) ).
fof(d12_ltlaxio5, axiom,  (! [A] :  (m2_finseq_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m2_finseq_1(C, k1_hilbert1) =>  ( ( ~ (r1_xxreal_0(k3_finseq_1(A), k5_numbers))  =>  (C=k3_ltlaxio5(A, B) <=>  (k3_finseq_1(C)=k3_finseq_1(A) &  (k1_funct_1(C, 1)=k3_hilbert1(k7_partfun1(k1_hilbert1, A, 1), B) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r1_xxreal_0(1, D) =>  (r1_xxreal_0(k3_finseq_1(A), D) | k1_funct_1(C, k1_nat_1(D, 1))=k3_hilbert1(k7_partfun1(k1_hilbert1, A, k1_nat_1(D, 1)), k7_partfun1(k1_hilbert1, C, D))) ) ) ) ) ) ) )  &  (r1_xxreal_0(k3_finseq_1(A), k5_numbers) =>  (C=k3_ltlaxio5(A, B) <=> C=k6_finseq_1(k1_hilbert1)) ) ) ) ) ) ) ) ) ).
fof(t47_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)))  =>  (r3_ltlaxio5(B, A) => r9_ltlaxio5(B, A)) ) ) ) ) ).
fof(t48_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_hilbert1)) =>  (r9_ltlaxio5(k4_subset_1(k1_hilbert1, C, k6_domain_1(k1_hilbert1, A)), B) => r9_ltlaxio5(C, k3_hilbert1(A, B))) ) ) ) ) ) ) ).
fof(t49_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_hilbert1)) =>  (r9_ltlaxio5(C, k3_hilbert1(A, B)) => r9_ltlaxio5(k4_subset_1(k1_hilbert1, C, k6_domain_1(k1_hilbert1, A)), B)) ) ) ) ) ) ) ).
fof(t50_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)))  =>  (r8_ltlaxio1(B, A) <=> r9_ltlaxio5(k1_ltlaxio5(B), A)) ) ) ) ) ).
fof(t51_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)))  =>  (r9_ltlaxio5(B, A) => r8_ltlaxio1(B, A)) ) ) ) ) ).
fof(t52_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (r8_ltlaxio1(k6_domain_1(k1_hilbert1, k1_hilbert2(A)), k6_ltlaxio1(k1_hilbert2(A))) &  ~ (r9_ltlaxio5(k6_domain_1(k1_hilbert1, k1_hilbert2(A)), k6_ltlaxio1(k1_hilbert2(A)))) ) ) ) ).
fof(t53_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)))  =>  (r9_ltlaxio5(B, k6_ltlaxio1(A)) => r8_ltlaxio1(B, A)) ) ) ) ) ).
fof(t54_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (r8_ltlaxio1(k6_domain_1(k1_hilbert1, k1_hilbert2(A)), k1_hilbert2(A)) &  ~ (r9_ltlaxio5(k6_domain_1(k1_hilbert1, k1_hilbert2(A)), k6_ltlaxio1(k1_hilbert2(A)))) ) ) ) ).
fof(dt_k1_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) => m1_subset_1(k1_ltlaxio5(A), k1_zfmisc_1(k1_hilbert1))) ) ).
fof(dt_k2_ltlaxio5, axiom, m1_subset_1(k2_ltlaxio5, k1_zfmisc_1(k1_hilbert1))).
fof(dt_k3_ltlaxio5, axiom,  (! [A, B] :  ( (m1_finseq_1(A, k1_hilbert1) & m1_subset_1(B, k1_hilbert1))  => m2_finseq_1(k3_ltlaxio5(A, B), k1_hilbert1)) ) ).
fof(d4_ltlaxio5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) => k1_ltlaxio5(A)=a_1_0_ltlaxio5(A)) ) ).
fof(fraenkel_a_1_0_ltlaxio5, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  (r2_hidden(A, a_1_0_ltlaxio5(B)) <=>  (? [C] :  (m1_subset_1(C, k1_hilbert1) &  (A=k6_ltlaxio1(C) & r2_tarski(C, B)) ) ) ) ) ) ).
fof(fc1_lukasi_1, axiom,  (! [A, B, C, D] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_cqc_lang(A)) &  (m1_subset_1(C, k3_cqc_lang(A)) & m1_subset_1(D, k3_cqc_lang(A))) ) )  => v2_cqc_the1(k2_qc_lang2(A, k8_cqc_lang(A, B, C), k8_cqc_lang(A, k8_cqc_lang(A, C, D), k8_cqc_lang(A, B, D))), A)) ) ).
fof(fc2_lukasi_1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k3_cqc_lang(A)))  => v2_cqc_the1(k2_qc_lang2(A, B, B), A)) ) ).
fof(fc3_lukasi_1, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_cqc_lang(A)) & m1_subset_1(C, k3_cqc_lang(A))) )  => v2_cqc_the1(k2_qc_lang2(A, B, k8_cqc_lang(A, C, B)), A)) ) ).
fof(fc4_lukasi_1, axiom,  (! [A, B, C, D] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_cqc_lang(A)) &  (m1_subset_1(C, k3_cqc_lang(A)) & m1_subset_1(D, k3_cqc_lang(A))) ) )  => v2_cqc_the1(k2_qc_lang2(A, k8_cqc_lang(A, D, k8_cqc_lang(A, C, B)), k8_cqc_lang(A, C, k8_cqc_lang(A, D, B))), A)) ) ).
fof(fc5_lukasi_1, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_cqc_lang(A)) & m1_subset_1(C, k3_cqc_lang(A))) )  => v2_cqc_the1(k2_qc_lang2(A, B, k8_cqc_lang(A, k8_cqc_lang(A, B, C), C)), A)) ) ).
fof(fc6_lukasi_1, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_cqc_lang(A)) & m1_subset_1(C, k3_cqc_lang(A))) )  => v2_cqc_the1(k2_qc_lang2(A, k8_cqc_lang(A, B, k8_cqc_lang(A, B, C)), k8_cqc_lang(A, B, C)), A)) ) ).
fof(fc7_lukasi_1, axiom,  (! [A, B, C, D] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_cqc_lang(A)) &  (m1_subset_1(C, k3_cqc_lang(A)) & m1_subset_1(D, k3_cqc_lang(A))) ) )  => v2_cqc_the1(k2_qc_lang2(A, k8_cqc_lang(A, B, k8_cqc_lang(A, C, D)), k8_cqc_lang(A, k8_cqc_lang(A, B, C), k8_cqc_lang(A, B, D))), A)) ) ).
fof(fc8_lukasi_1, axiom,  (! [A, B, C, D] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_cqc_lang(A)) &  (m1_subset_1(C, k3_cqc_lang(A)) & m1_subset_1(D, k3_cqc_lang(A))) ) )  => v2_cqc_the1(k2_qc_lang2(A, k8_cqc_lang(A, k8_cqc_lang(A, B, C), D), k8_cqc_lang(A, C, D)), A)) ) ).
fof(fc9_lukasi_1, axiom,  (! [A, B, C, D] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_cqc_lang(A)) &  (m1_subset_1(C, k3_cqc_lang(A)) & m1_subset_1(D, k3_cqc_lang(A))) ) )  => v2_cqc_the1(k2_qc_lang2(A, k8_cqc_lang(A, B, C), k8_cqc_lang(A, k8_cqc_lang(A, D, B), k8_cqc_lang(A, D, C))), A)) ) ).
fof(fc10_lukasi_1, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_cqc_lang(A)) & m1_subset_1(C, k3_cqc_lang(A))) )  => v2_cqc_the1(k2_qc_lang2(A, k8_cqc_lang(A, B, C), k8_cqc_lang(A, k6_cqc_lang(A, C), k6_cqc_lang(A, B))), A)) ) ).
fof(fc11_lukasi_1, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_cqc_lang(A)) & m1_subset_1(C, k3_cqc_lang(A))) )  => v2_cqc_the1(k2_qc_lang2(A, k8_cqc_lang(A, k6_cqc_lang(A, B), k6_cqc_lang(A, C)), k8_cqc_lang(A, C, B)), A)) ) ).
fof(fc12_lukasi_1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k3_cqc_lang(A)))  => v2_cqc_the1(k2_qc_lang2(A, B, k6_cqc_lang(A, k6_cqc_lang(A, B))), A)) ) ).
fof(fc13_lukasi_1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k3_cqc_lang(A)))  => v2_cqc_the1(k2_qc_lang2(A, k6_cqc_lang(A, k6_cqc_lang(A, B)), B), A)) ) ).
fof(fc14_lukasi_1, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_cqc_lang(A)) & m1_subset_1(C, k3_cqc_lang(A))) )  => v2_cqc_the1(k2_qc_lang2(A, k8_cqc_lang(A, k6_cqc_lang(A, k6_cqc_lang(A, B)), C), k8_cqc_lang(A, B, C)), A)) ) ).
fof(fc15_lukasi_1, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_cqc_lang(A)) & m1_subset_1(C, k3_cqc_lang(A))) )  => v2_cqc_the1(k2_qc_lang2(A, k8_cqc_lang(A, B, k6_cqc_lang(A, k6_cqc_lang(A, C))), k8_cqc_lang(A, B, C)), A)) ) ).
fof(fc16_lukasi_1, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_cqc_lang(A)) & m1_subset_1(C, k3_cqc_lang(A))) )  => v2_cqc_the1(k2_qc_lang2(A, k8_cqc_lang(A, B, k6_cqc_lang(A, C)), k8_cqc_lang(A, C, k6_cqc_lang(A, B))), A)) ) ).
fof(fc17_lukasi_1, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_cqc_lang(A)) & m1_subset_1(C, k3_cqc_lang(A))) )  => v2_cqc_the1(k2_qc_lang2(A, k8_cqc_lang(A, k6_cqc_lang(A, B), C), k8_cqc_lang(A, k6_cqc_lang(A, C), B)), A)) ) ).
fof(t1_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k8_cqc_lang(A, B, C), k8_cqc_lang(A, k8_cqc_lang(A, C, D), k8_cqc_lang(A, B, D))), k4_cqc_the1(A))) ) ) ) ) ) ) ) ).
fof(t2_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r2_hidden(k8_cqc_lang(A, B, C), k4_cqc_the1(A)) => r2_hidden(k8_cqc_lang(A, k8_cqc_lang(A, C, D), k8_cqc_lang(A, B, D)), k4_cqc_the1(A))) ) ) ) ) ) ) ) ) ).
fof(t3_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (r2_hidden(k8_cqc_lang(A, B, C), k4_cqc_the1(A)) & r2_hidden(k8_cqc_lang(A, C, D), k4_cqc_the1(A)))  => r2_hidden(k8_cqc_lang(A, B, D), k4_cqc_the1(A))) ) ) ) ) ) ) ) ) ).
fof(t4_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, B, B), k4_cqc_the1(A))) ) ) ) ).
fof(t5_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, C, k8_cqc_lang(A, B, C)), k4_cqc_the1(A))) ) ) ) ) ) ).
fof(t6_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k8_cqc_lang(A, k8_cqc_lang(A, B, C), D), k8_cqc_lang(A, C, D)), k4_cqc_the1(A))) ) ) ) ) ) ) ) ).
fof(t7_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, C, k8_cqc_lang(A, k8_cqc_lang(A, C, B), B)), k4_cqc_the1(A))) ) ) ) ) ) ).
fof(t8_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k8_cqc_lang(A, D, k8_cqc_lang(A, C, B)), k8_cqc_lang(A, C, k8_cqc_lang(A, D, B))), k4_cqc_the1(A))) ) ) ) ) ) ) ) ).
fof(t9_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k8_cqc_lang(A, C, D), k8_cqc_lang(A, k8_cqc_lang(A, B, C), k8_cqc_lang(A, B, D))), k4_cqc_the1(A))) ) ) ) ) ) ) ) ).
fof(t10_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k8_cqc_lang(A, B, k8_cqc_lang(A, B, C)), k8_cqc_lang(A, B, C)), k4_cqc_the1(A))) ) ) ) ) ) ).
fof(t11_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k8_cqc_lang(A, B, k8_cqc_lang(A, C, D)), k8_cqc_lang(A, k8_cqc_lang(A, B, C), k8_cqc_lang(A, B, D))), k4_cqc_the1(A))) ) ) ) ) ) ) ) ).
fof(t12_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k6_cqc_lang(A, k5_cqc_lang(A)), B), k4_cqc_the1(A))) ) ) ) ).
fof(t13_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r2_hidden(C, k4_cqc_the1(A)) => r2_hidden(k8_cqc_lang(A, B, C), k4_cqc_the1(A))) ) ) ) ) ) ) ).
fof(t14_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r2_hidden(B, k4_cqc_the1(A)) => r2_hidden(k8_cqc_lang(A, k8_cqc_lang(A, B, C), C), k4_cqc_the1(A))) ) ) ) ) ) ) ).
fof(t15_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r2_hidden(k8_cqc_lang(A, D, k8_cqc_lang(A, C, B)), k4_cqc_the1(A)) => r2_hidden(k8_cqc_lang(A, C, k8_cqc_lang(A, D, B)), k4_cqc_the1(A))) ) ) ) ) ) ) ) ) ).
fof(t16_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (r2_hidden(k8_cqc_lang(A, D, k8_cqc_lang(A, C, B)), k4_cqc_the1(A)) & r2_hidden(C, k4_cqc_the1(A)))  => r2_hidden(k8_cqc_lang(A, D, B), k4_cqc_the1(A))) ) ) ) ) ) ) ) ) ).
fof(t17_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (r2_hidden(k8_cqc_lang(A, D, k8_cqc_lang(A, C, B)), k4_cqc_the1(A)) &  (r2_hidden(C, k4_cqc_the1(A)) & r2_hidden(D, k4_cqc_the1(A))) )  => r2_hidden(B, k4_cqc_the1(A))) ) ) ) ) ) ) ) ) ).
fof(t18_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r2_hidden(k8_cqc_lang(A, B, k8_cqc_lang(A, B, C)), k4_cqc_the1(A)) => r2_hidden(k8_cqc_lang(A, B, C), k4_cqc_the1(A))) ) ) ) ) ) ) ).
fof(t19_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r2_hidden(k8_cqc_lang(A, B, k8_cqc_lang(A, C, D)), k4_cqc_the1(A)) => r2_hidden(k8_cqc_lang(A, k8_cqc_lang(A, B, C), k8_cqc_lang(A, B, D)), k4_cqc_the1(A))) ) ) ) ) ) ) ) ) ).
fof(t20_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (r2_hidden(k8_cqc_lang(A, B, k8_cqc_lang(A, C, D)), k4_cqc_the1(A)) & r2_hidden(k8_cqc_lang(A, B, C), k4_cqc_the1(A)))  => r2_hidden(k8_cqc_lang(A, B, D), k4_cqc_the1(A))) ) ) ) ) ) ) ) ) ).
fof(t21_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (r2_hidden(k8_cqc_lang(A, B, k8_cqc_lang(A, C, D)), k4_cqc_the1(A)) &  (r2_hidden(k8_cqc_lang(A, B, C), k4_cqc_the1(A)) & r2_hidden(B, k4_cqc_the1(A))) )  => r2_hidden(D, k4_cqc_the1(A))) ) ) ) ) ) ) ) ) ).
fof(t22_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m2_subset_1(E, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (r2_hidden(k8_cqc_lang(A, B, k8_cqc_lang(A, C, D)), k4_cqc_the1(A)) & r2_hidden(k8_cqc_lang(A, B, k8_cqc_lang(A, D, E)), k4_cqc_the1(A)))  => r2_hidden(k8_cqc_lang(A, B, k8_cqc_lang(A, C, E)), k4_cqc_the1(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, B, k5_cqc_lang(A)), k4_cqc_the1(A))) ) ) ) ).
fof(t24_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k8_cqc_lang(A, k6_cqc_lang(A, B), k6_cqc_lang(A, C)), k8_cqc_lang(A, C, B)), k4_cqc_the1(A))) ) ) ) ) ) ).
fof(t25_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k6_cqc_lang(A, k6_cqc_lang(A, B)), B), k4_cqc_the1(A))) ) ) ) ).
fof(t26_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k8_cqc_lang(A, B, C), k8_cqc_lang(A, k6_cqc_lang(A, C), k6_cqc_lang(A, B))), k4_cqc_the1(A))) ) ) ) ) ) ).
fof(t27_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, B, k6_cqc_lang(A, k6_cqc_lang(A, B))), k4_cqc_the1(A))) ) ) ) ).
fof(t28_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r2_hidden(k8_cqc_lang(A, k8_cqc_lang(A, k6_cqc_lang(A, k6_cqc_lang(A, B)), C), k8_cqc_lang(A, B, C)), k4_cqc_the1(A)) & r2_hidden(k8_cqc_lang(A, k8_cqc_lang(A, B, C), k8_cqc_lang(A, k6_cqc_lang(A, k6_cqc_lang(A, B)), C)), k4_cqc_the1(A))) ) ) ) ) ) ) ).
fof(t29_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r2_hidden(k8_cqc_lang(A, k8_cqc_lang(A, B, k6_cqc_lang(A, k6_cqc_lang(A, C))), k8_cqc_lang(A, B, C)), k4_cqc_the1(A)) & r2_hidden(k8_cqc_lang(A, k8_cqc_lang(A, B, C), k8_cqc_lang(A, B, k6_cqc_lang(A, k6_cqc_lang(A, C)))), k4_cqc_the1(A))) ) ) ) ) ) ) ).
fof(t30_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k8_cqc_lang(A, B, k6_cqc_lang(A, C)), k8_cqc_lang(A, C, k6_cqc_lang(A, B))), k4_cqc_the1(A))) ) ) ) ) ) ).
fof(t31_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k8_cqc_lang(A, k6_cqc_lang(A, B), C), k8_cqc_lang(A, k6_cqc_lang(A, C), B)), k4_cqc_the1(A))) ) ) ) ) ) ).
fof(t32_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k8_cqc_lang(A, B, k6_cqc_lang(A, B)), k6_cqc_lang(A, B)), k4_cqc_the1(A))) ) ) ) ).
fof(t33_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k6_cqc_lang(A, B), k8_cqc_lang(A, B, C)), k4_cqc_the1(A))) ) ) ) ) ) ).
fof(t34_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r2_hidden(k8_cqc_lang(A, B, C), k4_cqc_the1(A)) <=> r2_hidden(k8_cqc_lang(A, k6_cqc_lang(A, C), k6_cqc_lang(A, B)), k4_cqc_the1(A))) ) ) ) ) ) ) ).
fof(t35_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r2_hidden(k8_cqc_lang(A, k6_cqc_lang(A, B), k6_cqc_lang(A, C)), k4_cqc_the1(A)) => r2_hidden(k8_cqc_lang(A, C, B), k4_cqc_the1(A))) ) ) ) ) ) ) ).
fof(t36_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r2_hidden(B, k4_cqc_the1(A)) <=> r2_hidden(k6_cqc_lang(A, k6_cqc_lang(A, B)), k4_cqc_the1(A))) ) ) ) ) ).
fof(t37_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r2_hidden(k8_cqc_lang(A, B, C), k4_cqc_the1(A)) <=> r2_hidden(k8_cqc_lang(A, B, k6_cqc_lang(A, k6_cqc_lang(A, C))), k4_cqc_the1(A))) ) ) ) ) ) ) ).
fof(t38_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r2_hidden(k8_cqc_lang(A, B, C), k4_cqc_the1(A)) <=> r2_hidden(k8_cqc_lang(A, k6_cqc_lang(A, k6_cqc_lang(A, B)), C), k4_cqc_the1(A))) ) ) ) ) ) ) ).
fof(t39_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r2_hidden(k8_cqc_lang(A, B, k6_cqc_lang(A, C)), k4_cqc_the1(A)) => r2_hidden(k8_cqc_lang(A, C, k6_cqc_lang(A, B)), k4_cqc_the1(A))) ) ) ) ) ) ) ).
fof(t40_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r2_hidden(k8_cqc_lang(A, k6_cqc_lang(A, B), C), k4_cqc_the1(A)) => r2_hidden(k8_cqc_lang(A, k6_cqc_lang(A, C), B), k4_cqc_the1(A))) ) ) ) ) ) ) ).
fof(t41_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (v2_cqc_the1(k8_cqc_lang(A, B, C), A) => v2_cqc_the1(k8_cqc_lang(A, k8_cqc_lang(A, C, D), k8_cqc_lang(A, B, D)), A)) ) ) ) ) ) ) ) ) ).
fof(t42_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (v2_cqc_the1(k8_cqc_lang(A, B, C), A) & v2_cqc_the1(k8_cqc_lang(A, C, D), A))  => v2_cqc_the1(k8_cqc_lang(A, B, D), A)) ) ) ) ) ) ) ) ) ).
fof(t43_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (v2_cqc_the1(B, A) => v2_cqc_the1(k8_cqc_lang(A, C, B), A)) ) ) ) ) ) ) ).
fof(t44_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (v2_cqc_the1(k8_cqc_lang(A, B, k8_cqc_lang(A, C, D)), A) => v2_cqc_the1(k8_cqc_lang(A, C, k8_cqc_lang(A, B, D)), A)) ) ) ) ) ) ) ) ) ).
fof(t45_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (v2_cqc_the1(k8_cqc_lang(A, B, k8_cqc_lang(A, C, D)), A) & v2_cqc_the1(C, A))  => v2_cqc_the1(k8_cqc_lang(A, B, D), A)) ) ) ) ) ) ) ) ) ).
fof(t46_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (v2_cqc_the1(k8_cqc_lang(A, B, k5_cqc_lang(A)), A) & v2_cqc_the1(k8_cqc_lang(A, k6_cqc_lang(A, k5_cqc_lang(A)), B), A)) ) ) ) ) ).
fof(t47_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (v2_cqc_the1(k8_cqc_lang(A, B, k8_cqc_lang(A, B, C)), A) => v2_cqc_the1(k8_cqc_lang(A, B, C), A)) ) ) ) ) ) ) ).
fof(t48_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (v2_cqc_the1(k8_cqc_lang(A, B, k8_cqc_lang(A, C, D)), A) => v2_cqc_the1(k8_cqc_lang(A, k8_cqc_lang(A, B, C), k8_cqc_lang(A, B, D)), A)) ) ) ) ) ) ) ) ) ).
fof(t49_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (v2_cqc_the1(k8_cqc_lang(A, B, k8_cqc_lang(A, C, D)), A) & v2_cqc_the1(k8_cqc_lang(A, B, C), A))  => v2_cqc_the1(k8_cqc_lang(A, B, D), A)) ) ) ) ) ) ) ) ) ).
fof(t50_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (v2_cqc_the1(k8_cqc_lang(A, k8_cqc_lang(A, B, C), D), A) => v2_cqc_the1(k8_cqc_lang(A, C, D), A)) ) ) ) ) ) ) ) ) ).
fof(t51_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (v2_cqc_the1(k8_cqc_lang(A, B, C), A) => v2_cqc_the1(k8_cqc_lang(A, k8_cqc_lang(A, D, B), k8_cqc_lang(A, D, C)), A)) ) ) ) ) ) ) ) ) ).
fof(t52_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (v2_cqc_the1(k8_cqc_lang(A, k6_cqc_lang(A, B), k6_cqc_lang(A, C)), A) <=> v2_cqc_the1(k8_cqc_lang(A, C, B), A)) ) ) ) ) ) ) ).
fof(t53_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (v2_cqc_the1(k6_cqc_lang(A, k6_cqc_lang(A, B)), A) <=> v2_cqc_the1(B, A)) ) ) ) ) ).
fof(t54_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (v2_cqc_the1(k8_cqc_lang(A, k6_cqc_lang(A, k6_cqc_lang(A, B)), C), A) <=> v2_cqc_the1(k8_cqc_lang(A, B, C), A)) ) ) ) ) ) ) ).
fof(t55_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (v2_cqc_the1(k8_cqc_lang(A, B, k6_cqc_lang(A, k6_cqc_lang(A, C))), A) <=> v2_cqc_the1(k8_cqc_lang(A, B, C), A)) ) ) ) ) ) ) ).
fof(t56_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (v2_cqc_the1(k8_cqc_lang(A, B, k6_cqc_lang(A, C)), A) => v2_cqc_the1(k8_cqc_lang(A, C, k6_cqc_lang(A, B)), A)) ) ) ) ) ) ) ).
fof(t57_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (v2_cqc_the1(k8_cqc_lang(A, k6_cqc_lang(A, B), C), A) => v2_cqc_the1(k8_cqc_lang(A, k6_cqc_lang(A, C), B), A)) ) ) ) ) ) ) ).
fof(t58_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k3_cqc_lang(A))) =>  (r3_cqc_the1(A, E, k8_cqc_lang(A, B, C)) => r3_cqc_the1(A, E, k8_cqc_lang(A, k8_cqc_lang(A, C, D), k8_cqc_lang(A, B, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k3_cqc_lang(A))) =>  ( (r3_cqc_the1(A, E, k8_cqc_lang(A, B, C)) & r3_cqc_the1(A, E, k8_cqc_lang(A, C, D)))  => r3_cqc_the1(A, E, k8_cqc_lang(A, B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) => r3_cqc_the1(A, C, k8_cqc_lang(A, B, B))) ) ) ) ) ) ).
fof(t61_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_cqc_lang(A))) =>  (r3_cqc_the1(A, D, B) => r3_cqc_the1(A, D, k8_cqc_lang(A, C, B))) ) ) ) ) ) ) ) ) ).
fof(t62_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_cqc_lang(A))) =>  (r3_cqc_the1(A, D, B) => r3_cqc_the1(A, D, k8_cqc_lang(A, k8_cqc_lang(A, B, C), C))) ) ) ) ) ) ) ) ) ).
fof(t63_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k3_cqc_lang(A))) =>  (r3_cqc_the1(A, E, k8_cqc_lang(A, B, k8_cqc_lang(A, C, D))) => r3_cqc_the1(A, E, k8_cqc_lang(A, C, k8_cqc_lang(A, B, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k3_cqc_lang(A))) =>  ( (r3_cqc_the1(A, E, k8_cqc_lang(A, B, k8_cqc_lang(A, C, D))) & r3_cqc_the1(A, E, C))  => r3_cqc_the1(A, E, k8_cqc_lang(A, B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_cqc_lang(A))) =>  (r3_cqc_the1(A, D, k8_cqc_lang(A, B, k8_cqc_lang(A, B, C))) => r3_cqc_the1(A, D, k8_cqc_lang(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t66_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k3_cqc_lang(A))) =>  (r3_cqc_the1(A, E, k8_cqc_lang(A, k8_cqc_lang(A, B, C), D)) => r3_cqc_the1(A, E, k8_cqc_lang(A, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k3_cqc_lang(A))) =>  (r3_cqc_the1(A, E, k8_cqc_lang(A, B, k8_cqc_lang(A, C, D))) => r3_cqc_the1(A, E, k8_cqc_lang(A, k8_cqc_lang(A, B, C), k8_cqc_lang(A, B, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k3_cqc_lang(A))) =>  ( (r3_cqc_the1(A, E, k8_cqc_lang(A, B, k8_cqc_lang(A, C, D))) & r3_cqc_the1(A, E, k8_cqc_lang(A, B, C)))  => r3_cqc_the1(A, E, k8_cqc_lang(A, B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t69_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_cqc_lang(A))) =>  (r3_cqc_the1(A, D, k8_cqc_lang(A, k6_cqc_lang(A, B), k6_cqc_lang(A, C))) <=> r3_cqc_the1(A, D, k8_cqc_lang(A, C, B))) ) ) ) ) ) ) ) ) ).
fof(t70_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) =>  (r3_cqc_the1(A, C, k6_cqc_lang(A, k6_cqc_lang(A, B))) <=> r3_cqc_the1(A, C, B)) ) ) ) ) ) ) ).
fof(t71_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_cqc_lang(A))) =>  (r3_cqc_the1(A, D, k8_cqc_lang(A, B, k6_cqc_lang(A, k6_cqc_lang(A, C)))) <=> r3_cqc_the1(A, D, k8_cqc_lang(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t72_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_cqc_lang(A))) =>  (r3_cqc_the1(A, D, k8_cqc_lang(A, k6_cqc_lang(A, k6_cqc_lang(A, B)), C)) <=> r3_cqc_the1(A, D, k8_cqc_lang(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t73_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_cqc_lang(A))) =>  (r3_cqc_the1(A, D, k8_cqc_lang(A, B, k6_cqc_lang(A, C))) => r3_cqc_the1(A, D, k8_cqc_lang(A, C, k6_cqc_lang(A, B)))) ) ) ) ) ) ) ) ) ).
fof(t74_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_cqc_lang(A))) =>  (r3_cqc_the1(A, D, k8_cqc_lang(A, k6_cqc_lang(A, B), C)) => r3_cqc_the1(A, D, k8_cqc_lang(A, k6_cqc_lang(A, C), B))) ) ) ) ) ) ) ) ) ).
fof(t75_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_cqc_lang(A))) =>  ( (r3_cqc_the1(A, D, k8_cqc_lang(A, B, k6_cqc_lang(A, C))) & r3_cqc_the1(A, D, C))  => r3_cqc_the1(A, D, k6_cqc_lang(A, B))) ) ) ) ) ) ) ) ) ).
fof(t76_lukasi_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_cqc_lang(A))) =>  ( (r3_cqc_the1(A, D, k8_cqc_lang(A, k6_cqc_lang(A, B), C)) & r3_cqc_the1(A, D, k6_cqc_lang(A, C)))  => r3_cqc_the1(A, D, B)) ) ) ) ) ) ) ) ) ).
fof(rc1_margrel1, axiom,  (? [A] :  (v3_finseq_1(A) & v2_card_3(A)) ) ).
fof(cc1_margrel1, axiom,  (! [A] :  (v1_xboole_0(A) => v2_card_3(A)) ) ).
fof(fc1_margrel1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k2_margrel1(A))) ) ) ).
fof(fc2_margrel1, axiom,  ~ (v1_xboole_0(k5_margrel1)) ).
fof(cc2_margrel1, axiom,  (! [A] :  (m1_subset_1(A, k5_margrel1) => v1_xboolean(A)) ) ).
fof(fc3_margrel1, axiom,  (! [A] : v1_xboolean(k10_margrel1(A))) ).
fof(rc2_margrel1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) ) ) ).
fof(fc4_margrel1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  => v1_xboolean(k1_funct_1(A, B))) ) ).
fof(cc3_margrel1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))) =>  ( (v1_funct_1(B) & v1_funct_2(B, A, k5_margrel1))  =>  (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & v1_margrel1(B)) ) ) ) ) ) ).
fof(fc5_margrel1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v2_card_3(B))  =>  (v1_relat_1(k5_relat_1(A, B)) & v2_margrel1(k5_relat_1(A, B))) ) ) ).
fof(fc6_margrel1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), A)))) )  => v3_finseq_1(k9_xtuple_0(B))) ) ).
fof(rc3_margrel1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), A))) &  (v1_relat_1(B) &  (v4_relat_1(B, k3_finseq_2(A)) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v2_margrel1(B) & v3_margrel1(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(rc4_margrel1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v2_margrel1(A)) ) ) ) ).
fof(fc7_margrel1, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_margrel1(A))  => v2_card_3(k9_xtuple_0(A))) ) ).
fof(rc5_margrel1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_finseq_1(B, k4_partfun1(k3_finseq_2(A), A)) &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k4_partfun1(k3_finseq_2(A), A)) &  (v1_funct_1(B) &  (v1_funcop_1(B) &  (v2_funcop_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) &  (v4_card_3(B) &  (v4_margrel1(B, A) & v5_margrel1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc8_margrel1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v4_margrel1(B, A) & m1_finseq_1(B, k4_partfun1(k3_finseq_2(A), A))) )  => v2_margrel1(k1_funct_1(B, C))) ) ).
fof(d1_margrel1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (v2_card_3(A) <=>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ( (r2_tarski(B, A) & r2_tarski(C, A))  => k3_finseq_1(B)=k3_finseq_1(C)) ) ) ) ) ) ) ) ).
fof(t1_margrel1, axiom,  (! [A] :  (! [B] :  ( (v3_finseq_1(B) & v2_card_3(B))  =>  (r1_tarski(A, B) =>  (v3_finseq_1(A) & v2_card_3(A)) ) ) ) ) ).
fof(t2_margrel1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v3_finseq_1(k1_tarski(A)) & v2_card_3(k1_tarski(A))) ) ) ).
fof(d2_margrel1, axiom,  (! [A] :  ( (v3_finseq_1(A) & v2_card_3(A))  =>  (! [B] :  ( (v3_finseq_1(B) & v2_card_3(B))  =>  (A=B <=>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r2_tarski(C, A) <=> r2_tarski(C, B)) ) ) ) ) ) ) ) ).
fof(t3_margrel1, axiom,  (! [A] :  ( (v3_finseq_1(A) & v2_card_3(A))  =>  ( (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ~ (r2_tarski(B, A)) ) )  => A=k1_xboole_0) ) ) ).
fof(d3_margrel1, axiom,  (! [A] :  ( (v3_finseq_1(A) & v2_card_3(A))  =>  ( ~ (A=k1_xboole_0)  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (B=k1_margrel1(A) <=>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r2_tarski(C, A) => B=k3_finseq_1(C)) ) ) ) ) ) ) ) ) ).
fof(d4_margrel1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v3_finseq_1(B) & v2_card_3(B))  =>  (m1_margrel1(B, A) <=>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r2_tarski(C, B) => k3_finseq_1(C)=A) ) ) ) ) ) ) ) ).
fof(d5_margrel1, axiom,  (! [A] :  (! [B] :  ( (v3_finseq_1(B) & v2_card_3(B))  =>  (m2_margrel1(B, A) <=>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r2_tarski(C, B) => r1_tarski(k10_xtuple_0(C), A)) ) ) ) ) ) ) ).
fof(t4_margrel1, axiom,  (! [A] : m2_margrel1(k1_xboole_0, A)) ).
fof(t5_margrel1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => m1_margrel1(k1_xboole_0, A)) ) ).
fof(d6_margrel1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( (v3_finseq_1(C) & v2_card_3(C))  =>  (m3_margrel1(C, A, B) <=>  (m2_margrel1(C, A) & m1_margrel1(C, B)) ) ) ) ) ) ) ).
fof(d7_margrel1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (B=k2_margrel1(A) <=>  (! [C] :  (r2_tarski(C, B) <=>  (r1_tarski(C, k3_finseq_2(A)) &  (! [D] :  (m2_finseq_1(D, A) =>  (! [E] :  (m2_finseq_1(E, A) =>  ( (r2_tarski(D, C) & r2_tarski(E, C))  => k3_finseq_1(D)=k3_finseq_1(E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_margrel1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (m1_subset_1(C, k2_margrel1(A)) =>  (r1_tarski(B, C) => m1_subset_1(B, k2_margrel1(A))) ) ) ) ) ) ).
fof(t7_margrel1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) => m1_subset_1(k1_tarski(B), k2_margrel1(A))) ) ) ) ).
fof(t8_margrel1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) => m1_subset_1(k1_tarski(k10_finseq_1(B, C)), k2_margrel1(A))) ) ) ) ) ) ).
fof(d8_margrel1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k2_margrel1(A)) =>  (! [C] :  (m1_subset_1(C, k2_margrel1(A)) =>  (r1_margrel1(A, B, C) <=>  (! [D] :  (m2_finseq_1(D, A) =>  (r2_tarski(D, B) <=> r2_tarski(D, C)) ) ) ) ) ) ) ) ) ) ).
fof(d9_margrel1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k2_margrel1(A)) =>  (B=k3_margrel1(A) <=>  (! [C] :  (m2_finseq_1(C, A) =>  ~ (r2_tarski(C, B)) ) ) ) ) ) ) ) ).
fof(t9_margrel1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k3_margrel1(A)=k1_xboole_0) ) ).
fof(d10_margrel1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k2_margrel1(A)) =>  ( ~ (B=k3_margrel1(A))  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (C=k4_margrel1(A, B) <=>  (! [D] :  (m2_finseq_1(D, A) =>  (r2_tarski(D, B) => C=k3_finseq_1(D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_margrel1, axiom, k5_margrel1=k2_tarski(k5_numbers, 1)).
fof(d12_margrel1, axiom,  (! [A] :  (v1_xboolean(A) <=> r2_hidden(A, k5_margrel1)) ) ).
fof(d13_margrel1, axiom,  (! [A] :  (v1_xboolean(A) =>  ( (A=k6_margrel1 => k3_xboolean(A)=k7_margrel1)  &  ( ~ (A=k6_margrel1)  => k3_xboolean(A)=k6_margrel1) ) ) ) ).
fof(d14_margrel1, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) =>  ( ( (A=k7_margrel1 & B=k7_margrel1)  => k4_xboolean(A, B)=k7_margrel1)  &  ( ~ ( (A=k7_margrel1 & B=k7_margrel1) )  => k4_xboolean(A, B)=k6_margrel1) ) ) ) ) ) ).
fof(t11_margrel1, axiom,  (! [A] :  (v1_xboolean(A) =>  ( (A=k6_margrel1 => k3_xboolean(A)=k7_margrel1)  &  ( (k3_xboolean(A)=k7_margrel1 => A=k6_margrel1)  &  ( (A=k7_margrel1 => k3_xboolean(A)=k6_margrel1)  &  (k3_xboolean(A)=k6_margrel1 => A=k7_margrel1) ) ) ) ) ) ).
fof(t12_margrel1, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) =>  ( (k4_xboolean(A, B)=k7_margrel1 =>  (A=k7_margrel1 & B=k7_margrel1) )  &  ( ( (A=k7_margrel1 & B=k7_margrel1)  => k4_xboolean(A, B)=k7_margrel1)  &  ( ~ ( (k4_xboolean(A, B)=k6_margrel1 &  ( ~ (A=k6_margrel1)  &  ~ (B=k6_margrel1) ) ) )  &  ( (A=k6_margrel1 | B=k6_margrel1)  => k4_xboolean(A, B)=k6_margrel1) ) ) ) ) ) ) ) ).
fof(t13_margrel1, axiom,  (! [A] :  (v1_xboolean(A) => k4_xboolean(k6_margrel1, A)=k6_margrel1) ) ).
fof(t14_margrel1, axiom,  (! [A] :  (v1_xboolean(A) => k4_xboolean(k7_margrel1, A)=A) ) ).
fof(t15_margrel1, axiom,  (! [A] :  (v1_xboolean(A) =>  (k4_xboolean(A, A)=k6_margrel1 => A=k6_margrel1) ) ) ).
fof(t16_margrel1, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) =>  (! [C] :  (v1_xboolean(C) => k4_xboolean(B, k4_xboolean(C, A))=k4_xboolean(k4_xboolean(B, C), A)) ) ) ) ) ) ).
fof(d15_margrel1, axiom,  (! [A] :  ( ( ~ (r2_tarski(k6_margrel1, A))  => k10_margrel1(A)=k7_margrel1)  &  (r2_tarski(k6_margrel1, A) => k10_margrel1(A)=k6_margrel1) ) ) ).
fof(t17_margrel1, axiom,  (! [A] :  ( ( ~ (r2_tarski(k6_margrel1, A))  => k11_margrel1(A)=k7_margrel1)  &  ( ~ ( (k11_margrel1(A)=k7_margrel1 & r2_tarski(k6_margrel1, A)) )  &  ( (r2_tarski(k6_margrel1, A) => k11_margrel1(A)=k6_margrel1)  &  (k11_margrel1(A)=k6_margrel1 => r2_tarski(k6_margrel1, A)) ) ) ) ) ).
fof(d16_margrel1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v1_margrel1(A) <=> r1_tarski(k10_xtuple_0(A), k5_margrel1)) ) ) ).
fof(d17_margrel1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_margrel1(B)) )  =>  (B=k12_margrel1(A) <=>  (k9_xtuple_0(B)=k9_xtuple_0(A) &  (! [C] :  (r2_hidden(C, k9_xtuple_0(A)) => k1_funct_1(B, C)=k3_xboolean(k1_funct_1(A, C))) ) ) ) ) ) ) ) ).
fof(d18_margrel1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_margrel1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_margrel1(C)) )  =>  (C=k13_margrel1(A, B) <=>  (k9_xtuple_0(C)=k3_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)) &  (! [D] :  (r2_hidden(D, k9_xtuple_0(C)) => k1_funct_1(C, D)=k4_xboolean(k1_funct_1(A, D), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ).
fof(d19_margrel1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (C=k14_margrel1(A, B) <=>  (! [D] :  (m1_subset_1(D, A) => k3_funct_2(A, k5_margrel1, C, D)=k8_margrel1(k3_funct_2(A, k5_margrel1, B, D))) ) ) ) ) ) ) ) ) ).
fof(d20_margrel1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (D=k15_margrel1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) => k3_funct_2(A, k5_margrel1, D, E)=k9_margrel1(k3_funct_2(A, k5_margrel1, B, E), k3_funct_2(A, k5_margrel1, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d21_margrel1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v2_margrel1(A) <=> v2_card_3(k9_xtuple_0(A))) ) ) ).
fof(d22_margrel1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), A))))  =>  (v3_margrel1(B, A) <=>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  ( (k3_finseq_1(C)=k3_finseq_1(D) & r2_tarski(C, k9_xtuple_0(B)))  => r2_tarski(D, k9_xtuple_0(B))) ) ) ) ) ) ) ) ) ).
fof(t18_margrel1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (v1_funct_1(k17_funcop_1(k6_finseq_1(A), B)) &  ( ~ (v1_xboole_0(k17_funcop_1(k6_finseq_1(A), B)))  &  (v2_margrel1(k17_funcop_1(k6_finseq_1(A), B)) &  (v3_margrel1(k17_funcop_1(k6_finseq_1(A), B), A) & m1_subset_1(k17_funcop_1(k6_finseq_1(A), B), k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), A)))) ) ) ) ) ) ) ) ).
fof(t19_margrel1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) => m1_subset_1(k17_funcop_1(k6_finseq_1(A), B), k4_partfun1(k3_finseq_2(A), A))) ) ) ) ).
fof(d23_margrel1, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, k4_partfun1(k3_finseq_2(A), A)) =>  (v4_margrel1(B, A) <=>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), A))))  =>  ( (r2_tarski(C, k4_finseq_1(B)) & D=k1_funct_1(B, C))  => v2_margrel1(D)) ) ) ) ) ) ) ) ) ).
fof(d24_margrel1, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, k4_partfun1(k3_finseq_2(A), A)) =>  (v5_margrel1(B, A) <=>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), A))))  =>  ( (r2_tarski(C, k4_finseq_1(B)) & D=k1_funct_1(B, C))  => v3_margrel1(D, A)) ) ) ) ) ) ) ) ) ).
fof(t20_margrel1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, k4_partfun1(k3_finseq_2(A), A)) =>  (C=k17_funcop_1(k6_finseq_1(A), B) =>  (v4_margrel1(k16_margrel1(A, C), A) &  (v5_margrel1(k16_margrel1(A, C), A) & v2_relat_1(k16_margrel1(A, C))) ) ) ) ) ) ) ) ) ).
fof(d25_margrel1, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_margrel1(A))  =>  (! [B] :  (v7_ordinal1(B) =>  ( ( (? [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  & r2_tarski(C, k9_xtuple_0(A))) )  =>  (B=k17_margrel1(A) <=>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r2_tarski(C, k9_xtuple_0(A)) => B=k3_finseq_1(C)) ) ) ) )  &  ( (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ~ (r2_tarski(C, k9_xtuple_0(A))) ) )  =>  (B=k17_margrel1(A) <=> B=k5_numbers) ) ) ) ) ) ) ).
fof(t21_margrel1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(B)))  => k3_xboole_0(k4_finseq_2(A, B), k4_finseq_2(A, C))=k4_finseq_2(A, C)) ) ) ) ) ) ).
fof(t22_margrel1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v2_margrel1(B) &  (v3_margrel1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), A)))) ) ) )  => k9_xtuple_0(B)=k4_finseq_2(k18_margrel1(B), A)) ) ) ) ).
fof(d26_margrel1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (m4_margrel1(B, A) <=>  (! [C] :  (m1_subset_1(C, B) =>  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v2_margrel1(C) &  (v3_margrel1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), A)))) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_margrel1, axiom,  ( (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( (p1_s1_margrel1(A) & p1_s1_margrel1(B))  => k3_finseq_1(A)=k3_finseq_1(B)) ) ) ) )  =>  (? [A] :  ( (v3_finseq_1(A) & v2_card_3(A))  &  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r2_tarski(B, A) <=>  (r2_tarski(B, f1_s1_margrel1) & p1_s1_margrel1(B)) ) ) ) ) ) ) ).
fof(s2_margrel1, axiom,  ( (! [A] :  (m2_finseq_1(A, f1_s2_margrel1) =>  (! [B] :  (m2_finseq_1(B, f1_s2_margrel1) =>  ( (p1_s2_margrel1(A) & p1_s2_margrel1(B))  => k3_finseq_1(A)=k3_finseq_1(B)) ) ) ) )  =>  (? [A] :  (m1_subset_1(A, k2_margrel1(f1_s2_margrel1)) &  (! [B] :  (m2_finseq_1(B, f1_s2_margrel1) =>  (r2_tarski(B, A) <=> p1_s2_margrel1(B)) ) ) ) ) ) ).
fof(s3_margrel1, axiom,  (? [A] :  (m1_subset_1(A, k2_margrel1(f1_s3_margrel1)) &  (! [B] :  (m2_finseq_1(B, f1_s3_margrel1) =>  (k3_finseq_1(B)=f2_s3_margrel1 =>  (r2_tarski(B, A) <=> p1_s3_margrel1(B)) ) ) ) ) ) ).
fof(dt_k1_margrel1, axiom,  (! [A] :  ( (v3_finseq_1(A) & v2_card_3(A))  => m1_subset_1(k1_margrel1(A), k4_ordinal1)) ) ).
fof(dt_m1_margrel1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_margrel1(B, A) =>  (v3_finseq_1(B) & v2_card_3(B)) ) ) ) ) ).
fof(existence_m1_margrel1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (? [B] : m1_margrel1(B, A)) ) ) ).
fof(dt_m2_margrel1, axiom,  (! [A] :  (! [B] :  (m2_margrel1(B, A) =>  (v3_finseq_1(B) & v2_card_3(B)) ) ) ) ).
fof(existence_m2_margrel1, axiom,  (! [A] :  (? [B] : m2_margrel1(B, A)) ) ).
fof(dt_m3_margrel1, axiom,  (! [A, B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m3_margrel1(C, A, B) =>  (v3_finseq_1(C) & v2_card_3(C)) ) ) ) ) ).
fof(existence_m3_margrel1, axiom,  (! [A, B] :  (m1_subset_1(B, k4_ordinal1) =>  (? [C] : m3_margrel1(C, A, B)) ) ) ).
fof(symmetry_r1_margrel1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k2_margrel1(A)) & m1_subset_1(C, k2_margrel1(A))) )  =>  (r1_margrel1(A, B, C) => r1_margrel1(A, C, B)) ) ) ).
fof(reflexivity_r1_margrel1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k2_margrel1(A)) & m1_subset_1(C, k2_margrel1(A))) )  => r1_margrel1(A, B, B)) ) ).
fof(redefinition_r1_margrel1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k2_margrel1(A)) & m1_subset_1(C, k2_margrel1(A))) )  =>  (r1_margrel1(A, B, C) <=> B=C) ) ) ).
fof(dt_f1_s2_margrel1, axiom,  ~ (v1_xboole_0(f1_s2_margrel1)) ).
fof(dt_k3_margrel1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => m1_subset_1(k3_margrel1(A), k2_margrel1(A))) ) ).
fof(dt_k4_margrel1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k2_margrel1(A)))  => m1_subset_1(k4_margrel1(A, B), k4_ordinal1)) ) ).
fof(dt_f1_s3_margrel1, axiom,  ~ (v1_xboole_0(f1_s3_margrel1)) ).
fof(dt_f2_s3_margrel1, axiom, m1_subset_1(f2_s3_margrel1, k4_ordinal1)).
fof(dt_k6_margrel1, axiom, m1_subset_1(k6_margrel1, k5_margrel1)).
fof(redefinition_k6_margrel1, axiom, k6_margrel1=k1_xboolean).
fof(dt_k7_margrel1, axiom, m1_subset_1(k7_margrel1, k5_margrel1)).
fof(redefinition_k7_margrel1, axiom, k7_margrel1=k2_xboolean).
fof(dt_k8_margrel1, axiom,  (! [A] :  (m1_subset_1(A, k5_margrel1) => m1_subset_1(k8_margrel1(A), k5_margrel1)) ) ).
fof(involutiveness_k8_margrel1, axiom,  (! [A] :  (m1_subset_1(A, k5_margrel1) => k8_margrel1(k8_margrel1(A))=A) ) ).
fof(redefinition_k8_margrel1, axiom,  (! [A] :  (m1_subset_1(A, k5_margrel1) => k8_margrel1(A)=k3_xboolean(A)) ) ).
fof(dt_k9_margrel1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k5_margrel1) & m1_subset_1(B, k5_margrel1))  => m1_subset_1(k9_margrel1(A, B), k5_margrel1)) ) ).
fof(commutativity_k9_margrel1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k5_margrel1) & m1_subset_1(B, k5_margrel1))  => k9_margrel1(A, B)=k9_margrel1(B, A)) ) ).
fof(idempotence_k9_margrel1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k5_margrel1) & m1_subset_1(B, k5_margrel1))  => k9_margrel1(A, A)=A) ) ).
fof(redefinition_k9_margrel1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k5_margrel1) & m1_subset_1(B, k5_margrel1))  => k9_margrel1(A, B)=k4_xboolean(A, B)) ) ).
fof(dt_k11_margrel1, axiom,  (! [A] : m1_subset_1(k11_margrel1(A), k5_margrel1)) ).
fof(redefinition_k11_margrel1, axiom,  (! [A] : k11_margrel1(A)=k10_margrel1(A)) ).
fof(dt_k12_margrel1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  =>  (v1_relat_1(k12_margrel1(A)) &  (v1_funct_1(k12_margrel1(A)) & v1_margrel1(k12_margrel1(A))) ) ) ) ).
fof(involutiveness_k12_margrel1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  => k12_margrel1(k12_margrel1(A))=A) ) ).
fof(dt_k13_margrel1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_margrel1(B)) ) )  =>  (v1_relat_1(k13_margrel1(A, B)) &  (v1_funct_1(k13_margrel1(A, B)) & v1_margrel1(k13_margrel1(A, B))) ) ) ) ).
fof(commutativity_k13_margrel1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_margrel1(B)) ) )  => k13_margrel1(A, B)=k13_margrel1(B, A)) ) ).
fof(idempotence_k13_margrel1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_margrel1(B)) ) )  => k13_margrel1(A, A)=A) ) ).
fof(dt_k14_margrel1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) )  =>  (v1_funct_1(k14_margrel1(A, B)) &  (v1_funct_2(k14_margrel1(A, B), A, k5_margrel1) & m1_subset_1(k14_margrel1(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ) ).
fof(involutiveness_k14_margrel1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) )  => k14_margrel1(A, k14_margrel1(A, B))=B) ) ).
fof(redefinition_k14_margrel1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) )  => k14_margrel1(A, B)=k12_margrel1(B)) ) ).
fof(dt_k15_margrel1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  =>  (v1_funct_1(k15_margrel1(A, B, C)) &  (v1_funct_2(k15_margrel1(A, B, C), A, k5_margrel1) & m1_subset_1(k15_margrel1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ) ).
fof(commutativity_k15_margrel1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  => k15_margrel1(A, B, C)=k15_margrel1(A, C, B)) ) ).
fof(idempotence_k15_margrel1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  => k15_margrel1(A, B, B)=B) ) ).
fof(redefinition_k15_margrel1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  => k15_margrel1(A, B, C)=k13_margrel1(B, C)) ) ).
fof(dt_k16_margrel1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k4_partfun1(k3_finseq_2(A), A)))  => m2_finseq_1(k16_margrel1(A, B), k4_partfun1(k3_finseq_2(A), A))) ) ).
fof(redefinition_k16_margrel1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k4_partfun1(k3_finseq_2(A), A)))  => k16_margrel1(A, B)=k5_finseq_1(B)) ) ).
fof(dt_k17_margrel1, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_margrel1(A))  => v7_ordinal1(k17_margrel1(A))) ) ).
fof(dt_k18_margrel1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_margrel1(A)) )  => m1_subset_1(k18_margrel1(A), k4_ordinal1)) ) ).
fof(redefinition_k18_margrel1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_margrel1(A)) )  => k18_margrel1(A)=k17_margrel1(A)) ) ).
fof(dt_m4_margrel1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m4_margrel1(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(existence_m4_margrel1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] : m4_margrel1(B, A)) ) ) ).
fof(dt_m5_margrel1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m4_margrel1(B, A))  =>  (! [C] :  (m5_margrel1(C, A, B) =>  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v2_margrel1(C) &  (v3_margrel1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), A)))) ) ) ) ) ) ) ) ).
fof(existence_m5_margrel1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m4_margrel1(B, A))  =>  (? [C] : m5_margrel1(C, A, B)) ) ) ).
fof(redefinition_m5_margrel1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m4_margrel1(B, A))  =>  (! [C] :  (m5_margrel1(C, A, B) <=> m1_subset_1(C, B)) ) ) ) ).
fof(t1_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k2_mathmorp(A, k2_mathmorp(A, B))=B) ) ) ) ).
fof(t2_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_mathmorp(A, B, k6_domain_1(u1_struct_0(A), k4_struct_0(A)))=k6_domain_1(u1_struct_0(A), B)) ) ) ) ).
fof(t3_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_tarski(B, C) => r1_tarski(k1_mathmorp(A, D, B), k1_mathmorp(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t4_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (C=k1_xboole_0 => k1_mathmorp(A, B, C)=k1_xboole_0) ) ) ) ) ) ) ).
fof(t5_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k3_mathmorp(A, B, k6_domain_1(u1_struct_0(A), k4_struct_0(A)))=B) ) ) ) ).
fof(t6_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k6_rusub_4(A, B, k6_domain_1(u1_struct_0(A), k4_struct_0(A)))=B) ) ) ) ).
fof(t7_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k6_rusub_4(A, B, k6_domain_1(u1_struct_0(A), C))=k1_mathmorp(A, C, B)) ) ) ) ) ) ).
fof(t8_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (C=k1_xboole_0 => k3_mathmorp(A, B, C)=u1_struct_0(A)) ) ) ) ) ) ) ).
fof(t9_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(B, C) =>  (r1_tarski(k3_mathmorp(A, B, D), k3_mathmorp(A, C, D)) & r1_tarski(k6_rusub_4(A, B, D), k6_rusub_4(A, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t10_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(C, D) =>  (r1_tarski(k3_mathmorp(A, B, D), k3_mathmorp(A, B, C)) & r1_tarski(k6_rusub_4(A, B, C), k6_rusub_4(A, B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t11_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(k4_struct_0(A), C) =>  (r1_tarski(k3_mathmorp(A, B, C), B) & r1_tarski(B, k6_rusub_4(A, B, C))) ) ) ) ) ) ) ) ).
fof(t12_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k6_rusub_4(A, B, C)=k6_rusub_4(A, C, B)) ) ) ) ) ) ).
fof(t13_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_tarski(k1_mathmorp(A, E, C), k1_mathmorp(A, D, B)) <=> r1_tarski(k1_mathmorp(A, k5_algstr_0(A, E, D), C), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_mathmorp(A, k1_mathmorp(A, D, B), C)=k1_mathmorp(A, D, k3_mathmorp(A, B, C))) ) ) ) ) ) ) ) ).
fof(t15_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k6_rusub_4(A, k1_mathmorp(A, D, B), C)=k1_mathmorp(A, D, k6_rusub_4(A, B, C))) ) ) ) ) ) ) ) ).
fof(t16_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_mathmorp(A, D, k1_mathmorp(A, C, B))=k1_mathmorp(A, k3_rlvect_1(A, C, D), B)) ) ) ) ) ) ) ) ).
fof(t17_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_mathmorp(A, B, k1_mathmorp(A, D, C))=k1_mathmorp(A, k4_algstr_0(A, D), k3_mathmorp(A, B, C))) ) ) ) ) ) ) ) ).
fof(t18_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k6_rusub_4(A, B, k1_mathmorp(A, D, C))=k1_mathmorp(A, D, k6_rusub_4(A, B, C))) ) ) ) ) ) ) ) ).
fof(t19_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, B) => r1_tarski(k1_mathmorp(A, D, C), k6_rusub_4(A, C, B))) ) ) ) ) ) ) ) ) ).
fof(t20_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(B, k3_mathmorp(A, k6_rusub_4(A, B, C), C))) ) ) ) ) ) ).
fof(t21_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k1_mathmorp(A, k4_struct_0(A), B)=B) ) ) ) ).
fof(t22_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_mathmorp(A, B, k6_domain_1(u1_struct_0(A), C))=k1_mathmorp(A, k4_algstr_0(A, C), B)) ) ) ) ) ) ).
fof(t23_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => k3_mathmorp(A, B, k6_rusub_4(A, C, D))=k3_mathmorp(A, k3_mathmorp(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t24_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => k3_mathmorp(A, B, k6_rusub_4(A, C, D))=k3_mathmorp(A, k3_mathmorp(A, B, D), C)) ) ) ) ) ) ) ) ).
fof(t25_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k6_rusub_4(A, B, k3_mathmorp(A, C, D)), k3_mathmorp(A, k6_rusub_4(A, B, C), D))) ) ) ) ) ) ) ) ).
fof(t26_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => k6_rusub_4(A, B, k6_rusub_4(A, C, D))=k6_rusub_4(A, k6_rusub_4(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t27_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_mathmorp(A, D, k4_subset_1(u1_struct_0(A), B, C))=k4_subset_1(u1_struct_0(A), k1_mathmorp(A, D, B), k1_mathmorp(A, D, C))) ) ) ) ) ) ) ) ).
fof(t28_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_mathmorp(A, D, k9_subset_1(u1_struct_0(A), B, C))=k9_subset_1(u1_struct_0(A), k1_mathmorp(A, D, B), k1_mathmorp(A, D, C))) ) ) ) ) ) ) ) ).
fof(t29_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => k3_mathmorp(A, B, k4_subset_1(u1_struct_0(A), C, D))=k9_subset_1(u1_struct_0(A), k3_mathmorp(A, B, C), k3_mathmorp(A, B, D))) ) ) ) ) ) ) ) ).
fof(t30_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => k6_rusub_4(A, B, k4_subset_1(u1_struct_0(A), C, D))=k4_subset_1(u1_struct_0(A), k6_rusub_4(A, B, C), k6_rusub_4(A, B, D))) ) ) ) ) ) ) ) ).
fof(t31_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k4_subset_1(u1_struct_0(A), k3_mathmorp(A, B, D), k3_mathmorp(A, C, D)), k3_mathmorp(A, k4_subset_1(u1_struct_0(A), B, C), D))) ) ) ) ) ) ) ) ).
fof(t32_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => k6_rusub_4(A, k4_subset_1(u1_struct_0(A), B, C), D)=k4_subset_1(u1_struct_0(A), k6_rusub_4(A, B, D), k6_rusub_4(A, C, D))) ) ) ) ) ) ) ) ).
fof(t33_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => k3_mathmorp(A, k9_subset_1(u1_struct_0(A), B, C), D)=k9_subset_1(u1_struct_0(A), k3_mathmorp(A, B, D), k3_mathmorp(A, C, D))) ) ) ) ) ) ) ) ).
fof(t34_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k6_rusub_4(A, k9_subset_1(u1_struct_0(A), B, C), D), k9_subset_1(u1_struct_0(A), k6_rusub_4(A, B, D), k6_rusub_4(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t35_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k6_rusub_4(A, D, k9_subset_1(u1_struct_0(A), B, C)), k9_subset_1(u1_struct_0(A), k6_rusub_4(A, D, B), k6_rusub_4(A, D, C)))) ) ) ) ) ) ) ) ).
fof(t36_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k4_subset_1(u1_struct_0(A), k3_mathmorp(A, D, B), k3_mathmorp(A, D, C)), k3_mathmorp(A, D, k9_subset_1(u1_struct_0(A), B, C)))) ) ) ) ) ) ) ) ).
fof(t37_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k3_subset_1(u1_struct_0(A), k3_mathmorp(A, k3_subset_1(u1_struct_0(A), B), C))=k6_rusub_4(A, B, k2_mathmorp(A, C))) ) ) ) ) ) ).
fof(t38_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k3_subset_1(u1_struct_0(A), k3_mathmorp(A, B, C))=k6_rusub_4(A, k3_subset_1(u1_struct_0(A), B), k2_mathmorp(A, C))) ) ) ) ) ) ).
fof(d4_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k4_mathmorp(A, B, C)=k6_rusub_4(A, k3_mathmorp(A, B, C), C)) ) ) ) ) ) ).
fof(d5_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k5_mathmorp(A, B, C)=k3_mathmorp(A, k6_rusub_4(A, B, C), C)) ) ) ) ) ) ).
fof(t39_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k3_subset_1(u1_struct_0(A), k4_mathmorp(A, k3_subset_1(u1_struct_0(A), B), k2_mathmorp(A, C)))=k5_mathmorp(A, B, C)) ) ) ) ) ) ).
fof(t40_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k3_subset_1(u1_struct_0(A), k5_mathmorp(A, k3_subset_1(u1_struct_0(A), B), k2_mathmorp(A, C)))=k4_mathmorp(A, B, C)) ) ) ) ) ) ).
fof(t41_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(k4_mathmorp(A, B, C), B) & r1_tarski(B, k5_mathmorp(A, B, C))) ) ) ) ) ) ) ).
fof(t42_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k4_mathmorp(A, B, B)=B) ) ) ) ).
fof(t43_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(k3_mathmorp(A, k4_mathmorp(A, B, C), C), k3_mathmorp(A, B, C)) & r1_tarski(k6_rusub_4(A, k4_mathmorp(A, B, C), C), k6_rusub_4(A, B, C))) ) ) ) ) ) ) ).
fof(t44_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(k3_mathmorp(A, B, C), k3_mathmorp(A, k5_mathmorp(A, B, C), C)) & r1_tarski(k6_rusub_4(A, B, C), k6_rusub_4(A, k5_mathmorp(A, B, C), C))) ) ) ) ) ) ) ).
fof(t45_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(B, C) =>  (r1_tarski(k4_mathmorp(A, B, D), k4_mathmorp(A, C, D)) & r1_tarski(k5_mathmorp(A, B, D), k5_mathmorp(A, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t46_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k4_mathmorp(A, k1_mathmorp(A, D, B), C)=k1_mathmorp(A, D, k4_mathmorp(A, B, C))) ) ) ) ) ) ) ) ).
fof(t47_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k5_mathmorp(A, k1_mathmorp(A, D, B), C)=k1_mathmorp(A, D, k5_mathmorp(A, B, C))) ) ) ) ) ) ) ) ).
fof(t48_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(D, C) => r1_tarski(k4_mathmorp(A, B, C), k6_rusub_4(A, k3_mathmorp(A, B, D), C))) ) ) ) ) ) ) ) ) ).
fof(t49_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(C, D) => r1_tarski(k5_mathmorp(A, B, C), k3_mathmorp(A, k6_rusub_4(A, B, D), C))) ) ) ) ) ) ) ) ) ).
fof(t50_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (k6_rusub_4(A, B, C)=k6_rusub_4(A, k5_mathmorp(A, B, C), C) & k3_mathmorp(A, B, C)=k3_mathmorp(A, k4_mathmorp(A, B, C), C)) ) ) ) ) ) ) ).
fof(t51_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (k6_rusub_4(A, B, C)=k4_mathmorp(A, k6_rusub_4(A, B, C), C) & k3_mathmorp(A, B, C)=k5_mathmorp(A, k3_mathmorp(A, B, C), C)) ) ) ) ) ) ) ).
fof(t52_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k4_mathmorp(A, k4_mathmorp(A, B, C), C)=k4_mathmorp(A, B, C)) ) ) ) ) ) ).
fof(t53_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k5_mathmorp(A, k5_mathmorp(A, B, C), C)=k5_mathmorp(A, B, C)) ) ) ) ) ) ).
fof(t54_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k4_mathmorp(A, B, D), k4_mathmorp(A, k4_subset_1(u1_struct_0(A), B, C), D))) ) ) ) ) ) ) ) ).
fof(t55_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (C=k4_mathmorp(A, C, D) => r1_tarski(k4_mathmorp(A, B, C), k4_mathmorp(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t56_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (B=k1_xboole_0 => k6_mathmorp(k5_numbers, A, B)=k1_xboole_0) ) ) ) ) ).
fof(t57_mathmorp, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  => k6_mathmorp(k5_numbers, k15_euclid(A), B)=k6_domain_1(u1_struct_0(k15_euclid(A)), k4_struct_0(k15_euclid(A)))) ) ) ) ).
fof(t58_mathmorp, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => k6_mathmorp(1, k15_euclid(A), B)=B) ) ) ) ).
fof(t59_mathmorp, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => r1_tarski(k6_mathmorp(2, k15_euclid(A), B), k6_rusub_4(k15_euclid(A), B, B))) ) ) ) ).
fof(t60_mathmorp, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(C)))) => k6_mathmorp(k3_xcmplx_0(A, B), k15_euclid(C), D)=k6_mathmorp(A, k15_euclid(C), k6_mathmorp(B, k15_euclid(C), D))) ) ) ) ) ) ) ) ).
fof(t61_mathmorp, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) =>  (r1_tarski(C, D) => r1_tarski(k6_mathmorp(A, k15_euclid(B), C), k6_mathmorp(A, k15_euclid(B), D))) ) ) ) ) ) ) ) ) ).
fof(t62_mathmorp, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(B))) => k6_mathmorp(A, k15_euclid(B), k1_mathmorp(k15_euclid(B), D, C))=k1_mathmorp(k15_euclid(B), k1_rlvect_1(k15_euclid(B), D, A), k6_mathmorp(A, k15_euclid(B), C))) ) ) ) ) ) ) ) ).
fof(t63_mathmorp, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) => k6_mathmorp(A, k15_euclid(B), k6_rusub_4(k15_euclid(B), C, D))=k6_rusub_4(k15_euclid(B), k6_mathmorp(A, k15_euclid(B), C), k6_mathmorp(A, k15_euclid(B), D))) ) ) ) ) ) ) ) ).
fof(t64_mathmorp, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) =>  ( ~ (A=k5_numbers)  => k6_mathmorp(A, k15_euclid(B), k3_mathmorp(k15_euclid(B), C, D))=k3_mathmorp(k15_euclid(B), k6_mathmorp(A, k15_euclid(B), C), k6_mathmorp(A, k15_euclid(B), D))) ) ) ) ) ) ) ) ) ).
fof(t65_mathmorp, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) =>  ( ~ (A=k5_numbers)  => k6_mathmorp(A, k15_euclid(B), k4_mathmorp(k15_euclid(B), C, D))=k4_mathmorp(k15_euclid(B), k6_mathmorp(A, k15_euclid(B), C), k6_mathmorp(A, k15_euclid(B), D))) ) ) ) ) ) ) ) ) ).
fof(t66_mathmorp, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) =>  ( ~ (A=k5_numbers)  => k6_mathmorp(A, k15_euclid(B), k5_mathmorp(k15_euclid(B), C, D))=k5_mathmorp(k15_euclid(B), k6_mathmorp(A, k15_euclid(B), C), k6_mathmorp(A, k15_euclid(B), D))) ) ) ) ) ) ) ) ) ).
fof(d7_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => k7_mathmorp(A, B, C, D)=k9_subset_1(u1_struct_0(A), k3_mathmorp(A, B, C), k3_mathmorp(A, k3_subset_1(u1_struct_0(A), B), D))) ) ) ) ) ) ) ) ).
fof(d8_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => k8_mathmorp(A, B, C, D)=k4_subset_1(u1_struct_0(A), B, k7_mathmorp(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(d9_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => k9_mathmorp(A, B, C, D)=k7_subset_1(u1_struct_0(A), B, k7_mathmorp(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t67_mathmorp, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (C=k1_xboole_0 => k7_mathmorp(k15_euclid(A), B, C, D)=k3_mathmorp(k15_euclid(A), k3_subset_1(u1_struct_0(k15_euclid(A)), B), D)) ) ) ) ) ) ) ) ) ).
fof(t68_mathmorp, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (D=k1_xboole_0 => k7_mathmorp(k15_euclid(A), B, C, D)=k3_mathmorp(k15_euclid(A), B, C)) ) ) ) ) ) ) ) ) ).
fof(t69_mathmorp, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (r2_tarski(k4_struct_0(k15_euclid(A)), C) => r1_tarski(k7_mathmorp(k15_euclid(A), B, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t70_mathmorp, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (r2_tarski(k4_struct_0(k15_euclid(A)), D) => k9_subset_1(u1_struct_0(k15_euclid(A)), k7_mathmorp(k15_euclid(A), B, C, D), B)=k1_xboole_0) ) ) ) ) ) ) ) ) ).
fof(t71_mathmorp, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (r2_tarski(k4_struct_0(k15_euclid(A)), C) => k8_mathmorp(k15_euclid(A), B, C, D)=B) ) ) ) ) ) ) ) ) ).
fof(t72_mathmorp, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (r2_tarski(k4_struct_0(k15_euclid(A)), D) => k9_mathmorp(k15_euclid(A), B, C, D)=B) ) ) ) ) ) ) ) ) ).
fof(t73_mathmorp, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => k9_mathmorp(k15_euclid(A), B, D, C)=k3_subset_1(u1_struct_0(k15_euclid(A)), k8_mathmorp(k15_euclid(A), k3_subset_1(u1_struct_0(k15_euclid(A)), B), C, D))) ) ) ) ) ) ) ) ).
fof(t74_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_convex1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xreal_0(E) =>  ( (r1_xxreal_0(k5_numbers, E) &  (r1_xxreal_0(E, 1) &  (r2_tarski(C, B) & r2_tarski(D, B)) ) )  => r2_tarski(k3_rlvect_1(A, k1_rlvect_1(A, C, E), k1_rlvect_1(A, D, k6_xcmplx_0(1, E))), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_convex1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xreal_0(E) =>  ( (r1_xxreal_0(k5_numbers, E) &  (r1_xxreal_0(E, 1) &  (r2_tarski(C, B) & r2_tarski(D, B)) ) )  => r2_tarski(k3_rlvect_1(A, k1_rlvect_1(A, C, E), k1_rlvect_1(A, D, k6_xcmplx_0(1, E))), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_mathmorp, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (v1_convex1(B, k15_euclid(A)) => v1_convex1(k2_mathmorp(k15_euclid(A), B), k15_euclid(A))) ) ) ) ) ).
fof(t76_mathmorp, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  ( (v1_convex1(B, k15_euclid(A)) & v1_convex1(C, k15_euclid(A)))  =>  (v1_convex1(k6_rusub_4(k15_euclid(A), B, C), k15_euclid(A)) & v1_convex1(k3_mathmorp(k15_euclid(A), B, C), k15_euclid(A))) ) ) ) ) ) ) ) ).
fof(t77_mathmorp, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  ( (v1_convex1(B, k15_euclid(A)) & v1_convex1(C, k15_euclid(A)))  =>  (v1_convex1(k4_mathmorp(k15_euclid(A), B, C), k15_euclid(A)) & v1_convex1(k5_mathmorp(k15_euclid(A), B, C), k15_euclid(A))) ) ) ) ) ) ) ) ).
fof(t78_mathmorp, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(C)))) =>  (v1_convex1(D, k15_euclid(C)) =>  (r1_xxreal_0(A, k5_numbers) |  (r1_xxreal_0(B, k5_numbers) | k6_mathmorp(k2_xcmplx_0(B, A), k15_euclid(C), D)=k6_rusub_4(k15_euclid(C), k6_mathmorp(B, k15_euclid(C), D), k6_mathmorp(A, k15_euclid(C), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_mathmorp, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k1_mathmorp(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k2_mathmorp, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k2_mathmorp(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k3_mathmorp, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k3_mathmorp(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k4_mathmorp, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k4_mathmorp(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k5_mathmorp, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k5_mathmorp(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k6_mathmorp, axiom,  (! [A, B, C] :  ( (v1_xreal_0(A) &  ( ( ~ (v2_struct_0(B))  & l1_rlvect_1(B))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B)))) )  => m1_subset_1(k6_mathmorp(A, B, C), k1_zfmisc_1(u1_struct_0(B)))) ) ).
fof(dt_k7_mathmorp, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) )  => m1_subset_1(k7_mathmorp(A, B, C, D), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k8_mathmorp, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) )  => m1_subset_1(k8_mathmorp(A, B, C, D), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k9_mathmorp, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) )  => m1_subset_1(k9_mathmorp(A, B, C, D), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(d1_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k1_mathmorp(A, B, C)=a_3_0_mathmorp(A, B, C)) ) ) ) ) ) ).
fof(d2_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k2_mathmorp(A, B)=a_2_0_mathmorp(A, B)) ) ) ) ).
fof(d3_mathmorp, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k3_mathmorp(A, B, C)=a_3_1_mathmorp(A, B, C)) ) ) ) ) ) ).
fof(d6_mathmorp, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_rlvect_1(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) => k6_mathmorp(A, B, C)=a_3_2_mathmorp(A, B, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_mathmorp, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  & l1_algstr_0(B))  &  (m1_subset_1(C, u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (r2_hidden(A, a_3_0_mathmorp(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k1_algstr_0(B, E, C) & r2_tarski(E, D)) ) ) ) ) ) ).
fof(fraenkel_a_2_0_mathmorp, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l2_algstr_0(B))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_0_mathmorp(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=k4_algstr_0(B, D) & r2_tarski(D, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_1_mathmorp, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  & l1_algstr_0(B))  &  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (r2_hidden(A, a_3_1_mathmorp(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E & r1_tarski(k1_mathmorp(B, E, D), C)) ) ) ) ) ) ).
fof(fraenkel_a_3_2_mathmorp, axiom,  (! [A, B, C, D] :  ( (v1_xreal_0(B) &  ( ( ~ (v2_struct_0(C))  & l1_rlvect_1(C))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(C)))) )  =>  (r2_hidden(A, a_3_2_mathmorp(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(C)) &  (A=k1_rlvect_1(C, E, B) & r2_tarski(E, D)) ) ) ) ) ) ).
fof(fc1_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_matrix_0(k10_matrix_0(A, A, 1)) &  (v2_matrix_0(k10_matrix_0(A, A, 1), k1_numbers, A, A) & v1_matrix10(k10_matrix_0(A, A, 1))) ) ) ) ).
fof(fc2_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_matrix_0(k10_matrix_0(A, A, k4_xcmplx_0(1))) &  (v2_matrix_0(k10_matrix_0(A, A, k4_xcmplx_0(1)), k1_numbers, A, A) & v2_matrix10(k10_matrix_0(A, A, k4_xcmplx_0(1)))) ) ) ) ).
fof(fc3_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_matrix_0(k10_matrix_0(A, A, k4_xcmplx_0(1))) &  (v2_matrix_0(k10_matrix_0(A, A, k4_xcmplx_0(1)), k1_numbers, A, A) & v3_matrix10(k10_matrix_0(A, A, k4_xcmplx_0(1)))) ) ) ) ).
fof(fc4_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_matrix_0(k10_matrix_0(A, A, 1)) &  (v2_matrix_0(k10_matrix_0(A, A, 1), k1_numbers, A, A) & v4_matrix10(k10_matrix_0(A, A, 1))) ) ) ) ).
fof(rc1_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (m1_finseq_1(B, k3_finseq_2(k1_numbers)) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k3_finseq_2(k1_numbers)) &  (v1_funct_1(B) &  (v1_finseq_1(B) &  (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) &  (v1_matrix10(B) & v4_matrix10(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (m1_finseq_1(B, k3_finseq_2(k1_numbers)) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k3_finseq_2(k1_numbers)) &  (v1_funct_1(B) &  (v1_finseq_1(B) &  (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) &  (v2_matrix10(B) & v3_matrix10(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_matrix10, axiom,  (? [A] :  (m1_finseq_1(A, k3_finseq_2(k1_numbers)) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k3_finseq_2(k1_numbers)) &  (v1_funct_1(A) &  (v1_finseq_1(A) &  (v1_matrix_0(A) &  (v1_matrix10(A) & v4_matrix10(A)) ) ) ) ) ) ) ) ) ).
fof(rc4_matrix10, axiom,  (? [A] :  (m1_finseq_1(A, k3_finseq_2(k1_numbers)) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k3_finseq_2(k1_numbers)) &  (v1_funct_1(A) &  (v1_finseq_1(A) &  (v1_matrix_0(A) &  (v2_matrix10(A) & v3_matrix10(A)) ) ) ) ) ) ) ) ) ).
fof(fc5_matrix10, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v1_matrix10(A) & m1_finseq_1(A, k3_finseq_2(k1_numbers))) )  =>  (v1_matrix_0(k4_matrix_0(k1_numbers, A)) & v1_matrix10(k4_matrix_0(k1_numbers, A))) ) ) ).
fof(fc6_matrix10, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix10(A) & m1_finseq_1(A, k3_finseq_2(k1_numbers))) )  =>  (v1_matrix_0(k4_matrix_0(k1_numbers, A)) & v2_matrix10(k4_matrix_0(k1_numbers, A))) ) ) ).
fof(fc7_matrix10, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v3_matrix10(A) & m1_finseq_1(A, k3_finseq_2(k1_numbers))) )  =>  (v1_matrix_0(k4_matrix_0(k1_numbers, A)) & v3_matrix10(k4_matrix_0(k1_numbers, A))) ) ) ).
fof(fc8_matrix10, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v4_matrix10(A) & m1_finseq_1(A, k3_finseq_2(k1_numbers))) )  =>  (v1_matrix_0(k4_matrix_0(k1_numbers, A)) & v4_matrix10(k4_matrix_0(k1_numbers, A))) ) ) ).
fof(d1_matrix10, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (v1_matrix10(A) <=>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_hidden(k4_tarski(B, C), k2_matrix_0(A)) & r1_xxreal_0(k3_matrix_0(k1_numbers, A, B, C), k5_numbers)) ) ) ) ) ) ) ) ) ).
fof(d2_matrix10, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (v2_matrix10(A) <=>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_hidden(k4_tarski(B, C), k2_matrix_0(A)) & r1_xxreal_0(k5_numbers, k3_matrix_0(k1_numbers, A, B, C))) ) ) ) ) ) ) ) ) ).
fof(d3_matrix10, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (v3_matrix10(A) <=>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_hidden(k4_tarski(B, C), k2_matrix_0(A)) => r1_xxreal_0(k3_matrix_0(k1_numbers, A, B, C), k5_numbers)) ) ) ) ) ) ) ) ).
fof(d4_matrix10, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (v4_matrix10(A) <=>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_hidden(k4_tarski(B, C), k2_matrix_0(A)) => r1_xxreal_0(k5_numbers, k3_matrix_0(k1_numbers, A, B, C))) ) ) ) ) ) ) ) ).
fof(d5_matrix10, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (r1_matrix10(A, B) <=>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_hidden(k4_tarski(C, D), k2_matrix_0(A)) & r1_xxreal_0(k3_matrix_0(k1_numbers, B, C, D), k3_matrix_0(k1_numbers, A, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_matrix10, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (r2_matrix10(A, B) <=>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_hidden(k4_tarski(C, D), k2_matrix_0(A)) => r1_xxreal_0(k3_matrix_0(k1_numbers, A, C, D), k3_matrix_0(k1_numbers, B, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(d7_matrix10, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (B=k1_matrix10(A) <=>  (k3_finseq_1(B)=k3_finseq_1(A) &  (k1_matrix_0(B)=k1_matrix_0(A) &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_hidden(k4_tarski(C, D), k2_matrix_0(A)) => k3_matrix_0(k1_numbers, B, C, D)=k9_complex1(k3_matrix_0(k1_numbers, A, C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_matrix10, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_vectsp_1)) =>  (! [B] :  (v1_xreal_0(B) =>  (A=B => k4_algstr_0(k2_vectsp_1, A)=k4_xcmplx_0(B)) ) ) ) ) ).
fof(t2_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  (r2_hidden(k4_tarski(A, B), k2_matrix_0(C)) => k3_matrix_0(k1_numbers, k4_matrixr1(C), A, B)=k1_real_1(k3_matrix_0(k1_numbers, C, A, B))) ) ) ) ) ) ) ).
fof(t3_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(k1_numbers)))  =>  ( (k3_finseq_1(C)=k3_finseq_1(D) &  (k1_matrix_0(C)=k1_matrix_0(D) & r2_hidden(k4_tarski(A, B), k2_matrix_0(C))) )  => k3_matrix_0(k1_numbers, k5_matrixr1(C, D), A, B)=k5_real_1(k3_matrix_0(k1_numbers, C, A, B), k3_matrix_0(k1_numbers, D, A, B))) ) ) ) ) ) ) ) ) ).
fof(t4_matrix10, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(k1_numbers)))  =>  (r2_hidden(k4_tarski(B, C), k2_matrix_0(D)) => k3_matrix_0(k1_numbers, k7_matrixr1(A, D), B, C)=k3_xcmplx_0(A, k3_matrix_0(k1_numbers, D, B, C))) ) ) ) ) ) ) ) ) ).
fof(t5_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  => k2_matrix_0(B)=k2_matrix_0(k3_matrix10(A, B))) ) ) ) ).
fof(t6_matrix10, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, B, B) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  => k3_matrix10(B, k6_matrix10(B, A, C))=k6_matrix10(B, k9_complex1(A), k3_matrix10(B, C))) ) ) ) ) ) ).
fof(t7_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (v2_matrix10(B) => v1_matrix10(k2_matrix10(A, B))) ) ) ) ) ).
fof(t8_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  ( (v1_matrix10(B) & v1_matrix10(C))  => v1_matrix10(k4_matrix10(A, B, C))) ) ) ) ) ) ) ).
fof(t9_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (r1_matrix10(k2_matrix10(A, C), B) => v1_matrix10(k4_matrix10(A, B, C))) ) ) ) ) ) ) ).
fof(t10_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  ( (v4_matrix10(B) & v1_matrix10(C))  => v1_matrix10(k4_matrix10(A, B, C))) ) ) ) ) ) ) ).
fof(t11_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  ( (v1_matrix10(B) &  (v2_matrix10(C) & r1_matrix10(k3_matrix10(A, C), k3_matrix10(A, B))) )  => v1_matrix10(k4_matrix10(A, B, C))) ) ) ) ) ) ) ).
fof(t12_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  ( (v1_matrix10(B) & v2_matrix10(C))  => v1_matrix10(k5_matrix10(A, B, C))) ) ) ) ) ) ) ).
fof(t13_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (r1_matrix10(C, B) => v1_matrix10(k5_matrix10(A, B, C))) ) ) ) ) ) ) ).
fof(t14_matrix10, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, B, B) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (v1_matrix10(C) =>  (r1_xxreal_0(A, k5_numbers) | v1_matrix10(k6_matrix10(B, A, C))) ) ) ) ) ) ) ) ).
fof(t15_matrix10, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, B, B) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (v2_matrix10(C) =>  (r1_xxreal_0(k5_numbers, A) | v1_matrix10(k6_matrix10(B, A, C))) ) ) ) ) ) ) ) ).
fof(t16_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (v1_matrix10(B) => v2_matrix10(k2_matrix10(A, B))) ) ) ) ) ).
fof(t17_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  ( (v2_matrix10(B) & v2_matrix10(C))  => v2_matrix10(k4_matrix10(A, B, C))) ) ) ) ) ) ) ).
fof(t18_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (r1_matrix10(B, k2_matrix10(A, C)) => v2_matrix10(k4_matrix10(A, B, C))) ) ) ) ) ) ) ).
fof(t19_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  ( (v1_matrix10(B) &  (v2_matrix10(C) & r1_matrix10(k3_matrix10(A, B), k3_matrix10(A, C))) )  => v2_matrix10(k4_matrix10(A, B, C))) ) ) ) ) ) ) ).
fof(t20_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (r1_matrix10(B, C) => v2_matrix10(k5_matrix10(A, B, C))) ) ) ) ) ) ) ).
fof(t21_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  ( (v1_matrix10(B) & v2_matrix10(C))  => v2_matrix10(k5_matrix10(A, C, B))) ) ) ) ) ) ) ).
fof(t22_matrix10, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, B, B) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (v1_matrix10(C) =>  (r1_xxreal_0(k5_numbers, A) | v2_matrix10(k6_matrix10(B, A, C))) ) ) ) ) ) ) ) ).
fof(t23_matrix10, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, B, B) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (v2_matrix10(C) =>  (r1_xxreal_0(A, k5_numbers) | v2_matrix10(k6_matrix10(B, A, C))) ) ) ) ) ) ) ) ).
fof(t24_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (v4_matrix10(B) => v3_matrix10(k2_matrix10(A, B))) ) ) ) ) ).
fof(t25_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (v2_matrix10(B) => v3_matrix10(B)) ) ) ) ) ).
fof(t26_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  ( (v3_matrix10(B) & v3_matrix10(C))  => v3_matrix10(k4_matrix10(A, B, C))) ) ) ) ) ) ) ).
fof(t27_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (r2_matrix10(B, k2_matrix10(A, C)) => v3_matrix10(k4_matrix10(A, B, C))) ) ) ) ) ) ) ).
fof(t28_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (r2_matrix10(B, C) => v3_matrix10(k5_matrix10(A, B, C))) ) ) ) ) ) ) ).
fof(t29_matrix10, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, B, B) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  ( (r1_xxreal_0(A, k5_numbers) & v1_matrix10(C))  => v3_matrix10(k6_matrix10(B, A, C))) ) ) ) ) ) ) ).
fof(t30_matrix10, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, B, B) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  ( (r1_xxreal_0(k5_numbers, A) & v2_matrix10(C))  => v3_matrix10(k6_matrix10(B, A, C))) ) ) ) ) ) ) ).
fof(t31_matrix10, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, B, B) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  ( (r1_xxreal_0(k5_numbers, A) & v3_matrix10(C))  => v3_matrix10(k6_matrix10(B, A, C))) ) ) ) ) ) ) ).
fof(t32_matrix10, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, B, B) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  ( (r1_xxreal_0(A, k5_numbers) & v4_matrix10(C))  => v3_matrix10(k6_matrix10(B, A, C))) ) ) ) ) ) ) ).
fof(t33_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  => v4_matrix10(k3_matrix10(A, B))) ) ) ) ).
fof(t34_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (v1_matrix10(B) => v4_matrix10(B)) ) ) ) ) ).
fof(t35_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (v3_matrix10(B) => v4_matrix10(k2_matrix10(A, B))) ) ) ) ) ).
fof(t36_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  ( (v4_matrix10(B) & v4_matrix10(C))  => v4_matrix10(k4_matrix10(A, B, C))) ) ) ) ) ) ) ).
fof(t37_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (r2_matrix10(k2_matrix10(A, B), C) => v4_matrix10(k4_matrix10(A, B, C))) ) ) ) ) ) ) ).
fof(t38_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (r2_matrix10(C, B) => v4_matrix10(k5_matrix10(A, B, C))) ) ) ) ) ) ) ).
fof(t39_matrix10, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, B, B) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  ( (r1_xxreal_0(k5_numbers, A) & v1_matrix10(C))  => v4_matrix10(k6_matrix10(B, A, C))) ) ) ) ) ) ) ).
fof(t40_matrix10, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, B, B) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  ( (r1_xxreal_0(A, k5_numbers) & v2_matrix10(C))  => v4_matrix10(k6_matrix10(B, A, C))) ) ) ) ) ) ) ).
fof(t41_matrix10, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, B, B) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  ( (r1_xxreal_0(A, k5_numbers) & v3_matrix10(C))  => v4_matrix10(k6_matrix10(B, A, C))) ) ) ) ) ) ) ).
fof(t42_matrix10, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, B, B) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  ( (r1_xxreal_0(k5_numbers, A) & v4_matrix10(C))  => v4_matrix10(k6_matrix10(B, A, C))) ) ) ) ) ) ) ).
fof(t43_matrix10, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, C, C) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, k1_numbers, C, C) & m2_finseq_1(E, k3_finseq_2(k1_numbers))) )  =>  ( (r1_xxreal_0(k5_numbers, A) &  (r1_xxreal_0(k5_numbers, B) &  (v4_matrix10(D) & v4_matrix10(E)) ) )  => v4_matrix10(k4_matrix10(C, k6_matrix10(C, A, D), k6_matrix10(C, B, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (r1_matrix10(B, C) => r2_matrix10(B, C)) ) ) ) ) ) ) ).
fof(t45_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, A, A) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  ( (r1_matrix10(B, C) & r1_matrix10(C, D))  => r1_matrix10(B, D)) ) ) ) ) ) ) ) ) ).
fof(t46_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, A, A) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, k1_numbers, A, A) & m2_finseq_1(E, k3_finseq_2(k1_numbers))) )  =>  ( (r1_matrix10(B, C) & r1_matrix10(D, E))  => r1_matrix10(k4_matrix10(A, B, D), k4_matrix10(A, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, A, A) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  (r1_matrix10(B, C) => r1_matrix10(k4_matrix10(A, B, D), k4_matrix10(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t48_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, A, A) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  (r1_matrix10(B, C) => r1_matrix10(k5_matrix10(A, D, C), k5_matrix10(A, D, B))) ) ) ) ) ) ) ) ) ).
fof(t49_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  => r2_matrix10(k3_matrix10(A, k4_matrix10(A, B, C)), k4_matrix10(A, k3_matrix10(A, B), k3_matrix10(A, C)))) ) ) ) ) ) ).
fof(t50_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, A, A) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  (r2_matrix10(B, C) => r2_matrix10(k5_matrix10(A, B, D), k5_matrix10(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t51_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, A, A) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  (r2_matrix10(k5_matrix10(A, B, D), k5_matrix10(A, C, D)) => r2_matrix10(B, C)) ) ) ) ) ) ) ) ) ).
fof(t52_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, A, A) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  (r2_matrix10(B, k5_matrix10(A, C, D)) => r2_matrix10(D, k5_matrix10(A, C, B))) ) ) ) ) ) ) ) ) ).
fof(t53_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, A, A) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  (r2_matrix10(k5_matrix10(A, B, C), D) => r2_matrix10(k5_matrix10(A, B, D), C)) ) ) ) ) ) ) ) ) ).
fof(t54_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, A, A) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, k1_numbers, A, A) & m2_finseq_1(E, k3_finseq_2(k1_numbers))) )  =>  ( (r1_matrix10(B, C) & r2_matrix10(D, E))  => r1_matrix10(k5_matrix10(A, B, E), k5_matrix10(A, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, A, A) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, k1_numbers, A, A) & m2_finseq_1(E, k3_finseq_2(k1_numbers))) )  =>  ( (r2_matrix10(B, C) & r1_matrix10(D, E))  => r1_matrix10(k5_matrix10(A, B, E), k5_matrix10(A, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, A, A) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, k1_numbers, A, A) & m2_finseq_1(E, k3_finseq_2(k1_numbers))) )  =>  (r2_matrix10(k5_matrix10(A, B, C), k5_matrix10(A, D, E)) => r2_matrix10(k5_matrix10(A, B, D), k5_matrix10(A, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, A, A) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, k1_numbers, A, A) & m2_finseq_1(E, k3_finseq_2(k1_numbers))) )  =>  (r2_matrix10(k5_matrix10(A, B, C), k5_matrix10(A, D, E)) => r2_matrix10(k5_matrix10(A, E, C), k5_matrix10(A, D, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, A, A) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, k1_numbers, A, A) & m2_finseq_1(E, k3_finseq_2(k1_numbers))) )  =>  (r2_matrix10(k5_matrix10(A, B, C), k5_matrix10(A, D, E)) => r2_matrix10(k5_matrix10(A, E, D), k5_matrix10(A, C, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, A, A) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  (r2_matrix10(k4_matrix10(A, B, C), D) => r2_matrix10(B, k5_matrix10(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t60_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, A, A) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, k1_numbers, A, A) & m2_finseq_1(E, k3_finseq_2(k1_numbers))) )  =>  (r2_matrix10(k4_matrix10(A, B, C), k4_matrix10(A, D, E)) => r2_matrix10(k5_matrix10(A, B, D), k5_matrix10(A, E, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, A, A) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, k1_numbers, A, A) & m2_finseq_1(E, k3_finseq_2(k1_numbers))) )  =>  (r2_matrix10(k4_matrix10(A, B, C), k5_matrix10(A, D, E)) => r2_matrix10(k4_matrix10(A, B, E), k5_matrix10(A, D, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, A, A) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, k1_numbers, A, A) & m2_finseq_1(E, k3_finseq_2(k1_numbers))) )  =>  (r2_matrix10(k5_matrix10(A, B, C), k4_matrix10(A, D, E)) => r2_matrix10(k5_matrix10(A, B, E), k4_matrix10(A, D, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (r2_matrix10(B, C) => r2_matrix10(k2_matrix10(A, C), k2_matrix10(A, B))) ) ) ) ) ) ) ).
fof(t64_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (r2_matrix10(B, k2_matrix10(A, C)) => r2_matrix10(C, k2_matrix10(A, B))) ) ) ) ) ) ) ).
fof(t65_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (r2_matrix10(k2_matrix10(A, C), B) => r2_matrix10(k2_matrix10(A, B), C)) ) ) ) ) ) ) ).
fof(t66_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (v1_matrix10(B) => r1_matrix10(C, k4_matrix10(A, C, B))) ) ) ) ) ) ) ).
fof(t67_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (v2_matrix10(B) => r1_matrix10(k4_matrix10(A, B, C), C)) ) ) ) ) ) ) ).
fof(t68_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (v4_matrix10(B) => r2_matrix10(C, k4_matrix10(A, B, C))) ) ) ) ) ) ) ).
fof(t69_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (v3_matrix10(B) => r2_matrix10(k4_matrix10(A, B, C), C)) ) ) ) ) ) ) ).
fof(t70_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, A, A) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  ( (v3_matrix10(B) & r2_matrix10(D, C))  => r2_matrix10(k4_matrix10(A, D, B), C)) ) ) ) ) ) ) ) ) ).
fof(t71_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, A, A) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  ( (v3_matrix10(B) & r1_matrix10(D, C))  => r1_matrix10(k4_matrix10(A, D, B), C)) ) ) ) ) ) ) ) ) ).
fof(t72_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, A, A) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  ( (v2_matrix10(B) & r2_matrix10(D, C))  => r1_matrix10(k4_matrix10(A, D, B), C)) ) ) ) ) ) ) ) ) ).
fof(t73_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, A, A) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  ( (v4_matrix10(B) & r2_matrix10(C, D))  => r2_matrix10(C, k4_matrix10(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t74_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, A, A) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  ( (v1_matrix10(B) & r2_matrix10(C, D))  => r1_matrix10(C, k4_matrix10(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t75_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, A, A) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  ( (v4_matrix10(B) & r1_matrix10(C, D))  => r1_matrix10(C, k4_matrix10(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t76_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (v4_matrix10(B) => r2_matrix10(k5_matrix10(A, C, B), C)) ) ) ) ) ) ) ).
fof(t77_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (v1_matrix10(B) => r1_matrix10(k5_matrix10(A, C, B), C)) ) ) ) ) ) ) ).
fof(t78_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (v3_matrix10(B) => r2_matrix10(C, k5_matrix10(A, C, B))) ) ) ) ) ) ) ).
fof(t79_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (v2_matrix10(B) => r1_matrix10(C, k5_matrix10(A, C, B))) ) ) ) ) ) ) ).
fof(t80_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (r2_matrix10(B, C) => v4_matrix10(k5_matrix10(A, C, B))) ) ) ) ) ) ) ).
fof(t81_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, A, A) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  ( (v4_matrix10(B) & r1_matrix10(C, D))  => r1_matrix10(k5_matrix10(A, C, B), D)) ) ) ) ) ) ) ) ) ).
fof(t82_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, A, A) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  ( (v3_matrix10(B) & r2_matrix10(C, D))  => r2_matrix10(C, k5_matrix10(A, D, B))) ) ) ) ) ) ) ) ) ).
fof(t83_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, A, A) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  ( (v3_matrix10(B) & r1_matrix10(C, D))  => r1_matrix10(C, k5_matrix10(A, D, B))) ) ) ) ) ) ) ) ) ).
fof(t84_matrix10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, A, A) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  ( (v2_matrix10(B) & r2_matrix10(C, D))  => r1_matrix10(C, k5_matrix10(A, D, B))) ) ) ) ) ) ) ) ) ).
fof(t85_matrix10, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, B, B) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, B, B) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  (r1_matrix10(C, D) =>  (r1_xxreal_0(A, k5_numbers) | r1_matrix10(k6_matrix10(B, A, C), k6_matrix10(B, A, D))) ) ) ) ) ) ) ) ) ) ).
fof(t86_matrix10, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, B, B) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, B, B) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  ( (r1_matrix10(C, D) & r1_xxreal_0(k5_numbers, A))  => r2_matrix10(k6_matrix10(B, A, C), k6_matrix10(B, A, D))) ) ) ) ) ) ) ) ) ).
fof(t87_matrix10, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, B, B) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, B, B) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  (r1_matrix10(C, D) =>  (r1_xxreal_0(k5_numbers, A) | r1_matrix10(k6_matrix10(B, A, D), k6_matrix10(B, A, C))) ) ) ) ) ) ) ) ) ) ).
fof(t88_matrix10, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, B, B) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, B, B) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  ( (r1_matrix10(C, D) & r1_xxreal_0(A, k5_numbers))  => r2_matrix10(k6_matrix10(B, A, D), k6_matrix10(B, A, C))) ) ) ) ) ) ) ) ) ).
fof(t89_matrix10, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, B, B) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, B, B) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  ( (r2_matrix10(C, D) & r1_xxreal_0(k5_numbers, A))  => r2_matrix10(k6_matrix10(B, A, C), k6_matrix10(B, A, D))) ) ) ) ) ) ) ) ) ).
fof(t90_matrix10, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, B, B) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, B, B) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  ( (r2_matrix10(C, D) & r1_xxreal_0(A, k5_numbers))  => r2_matrix10(k6_matrix10(B, A, D), k6_matrix10(B, A, C))) ) ) ) ) ) ) ) ) ).
fof(t91_matrix10, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, C, C) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, k1_numbers, C, C) & m2_finseq_1(E, k3_finseq_2(k1_numbers))) )  =>  ( (r1_xxreal_0(k5_numbers, A) &  (r1_xxreal_0(A, B) &  (v4_matrix10(D) & r2_matrix10(D, E)) ) )  => r2_matrix10(k6_matrix10(C, A, D), k6_matrix10(C, B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t92_matrix10, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, C, C) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, k1_numbers, C, C) & m2_finseq_1(E, k3_finseq_2(k1_numbers))) )  =>  ( (r1_xxreal_0(A, k5_numbers) &  (r1_xxreal_0(B, A) &  (v3_matrix10(D) & r2_matrix10(E, D)) ) )  => r2_matrix10(k6_matrix10(C, A, D), k6_matrix10(C, B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t93_matrix10, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, C, C) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, k1_numbers, C, C) & m2_finseq_1(E, k3_finseq_2(k1_numbers))) )  =>  ( (r1_xxreal_0(B, A) &  (v2_matrix10(D) & r1_matrix10(E, D)) )  =>  (r1_xxreal_0(k5_numbers, A) | r1_matrix10(k6_matrix10(C, A, D), k6_matrix10(C, B, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t94_matrix10, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, C, C) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, k1_numbers, C, C) & m2_finseq_1(E, k3_finseq_2(k1_numbers))) )  =>  ( (r1_xxreal_0(k5_numbers, A) &  (v4_matrix10(D) & r1_matrix10(D, E)) )  =>  (r1_xxreal_0(B, A) | r1_matrix10(k6_matrix10(C, A, D), k6_matrix10(C, B, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t95_matrix10, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, C, C) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, k1_numbers, C, C) & m2_finseq_1(E, k3_finseq_2(k1_numbers))) )  =>  ( (r1_xxreal_0(k5_numbers, A) &  (v1_matrix10(D) & r2_matrix10(D, E)) )  =>  (r1_xxreal_0(B, A) | r1_matrix10(k6_matrix10(C, A, D), k6_matrix10(C, B, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t96_matrix10, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, C, C) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, k1_numbers, C, C) & m2_finseq_1(E, k3_finseq_2(k1_numbers))) )  =>  ( (r1_xxreal_0(A, B) &  (v1_matrix10(D) & r1_matrix10(D, E)) )  =>  (r1_xxreal_0(A, k5_numbers) | r1_matrix10(k6_matrix10(C, A, D), k6_matrix10(C, B, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_matrix10, axiom,  (! [A] :  ( (v1_matrix_0(A) & m1_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (v1_matrix_0(k1_matrix10(A)) & m2_finseq_1(k1_matrix10(A), k3_finseq_2(k1_numbers))) ) ) ).
fof(dt_k2_matrix10, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m1_finseq_1(B, k3_finseq_2(k1_numbers))) ) )  =>  (v1_matrix_0(k2_matrix10(A, B)) &  (v2_matrix_0(k2_matrix10(A, B), k1_numbers, A, A) & m2_finseq_1(k2_matrix10(A, B), k3_finseq_2(k1_numbers))) ) ) ) ).
fof(redefinition_k2_matrix10, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m1_finseq_1(B, k3_finseq_2(k1_numbers))) ) )  => k2_matrix10(A, B)=k4_matrixr1(B)) ) ).
fof(dt_k3_matrix10, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m1_finseq_1(B, k3_finseq_2(k1_numbers))) ) )  =>  (v1_matrix_0(k3_matrix10(A, B)) &  (v2_matrix_0(k3_matrix10(A, B), k1_numbers, A, A) & m2_finseq_1(k3_matrix10(A, B), k3_finseq_2(k1_numbers))) ) ) ) ).
fof(redefinition_k3_matrix10, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m1_finseq_1(B, k3_finseq_2(k1_numbers))) ) )  => k3_matrix10(A, B)=k1_matrix10(B)) ) ).
fof(dt_k4_matrix10, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m1_finseq_1(B, k3_finseq_2(k1_numbers))) )  &  (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m1_finseq_1(C, k3_finseq_2(k1_numbers))) ) ) )  =>  (v1_matrix_0(k4_matrix10(A, B, C)) &  (v2_matrix_0(k4_matrix10(A, B, C), k1_numbers, A, A) & m2_finseq_1(k4_matrix10(A, B, C), k3_finseq_2(k1_numbers))) ) ) ) ).
fof(redefinition_k4_matrix10, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m1_finseq_1(B, k3_finseq_2(k1_numbers))) )  &  (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m1_finseq_1(C, k3_finseq_2(k1_numbers))) ) ) )  => k4_matrix10(A, B, C)=k3_matrixr1(B, C)) ) ).
fof(dt_k5_matrix10, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m1_finseq_1(B, k3_finseq_2(k1_numbers))) )  &  (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m1_finseq_1(C, k3_finseq_2(k1_numbers))) ) ) )  =>  (v1_matrix_0(k5_matrix10(A, B, C)) &  (v2_matrix_0(k5_matrix10(A, B, C), k1_numbers, A, A) & m2_finseq_1(k5_matrix10(A, B, C), k3_finseq_2(k1_numbers))) ) ) ) ).
fof(redefinition_k5_matrix10, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m1_finseq_1(B, k3_finseq_2(k1_numbers))) )  &  (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m1_finseq_1(C, k3_finseq_2(k1_numbers))) ) ) )  => k5_matrix10(A, B, C)=k5_matrixr1(B, C)) ) ).
fof(dt_k6_matrix10, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v1_xreal_0(B) &  (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m1_finseq_1(C, k3_finseq_2(k1_numbers))) ) ) )  =>  (v1_matrix_0(k6_matrix10(A, B, C)) &  (v2_matrix_0(k6_matrix10(A, B, C), k1_numbers, A, A) & m2_finseq_1(k6_matrix10(A, B, C), k3_finseq_2(k1_numbers))) ) ) ) ).
fof(redefinition_k6_matrix10, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v1_xreal_0(B) &  (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m1_finseq_1(C, k3_finseq_2(k1_numbers))) ) ) )  => k6_matrix10(A, B, C)=k7_matrixr1(B, C)) ) ).
fof(fc1_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (v1_xboole_0(k2_sgraph1(k2_finseq_1(k1_nat_1(A, 2)))))  & v1_finset_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A, 2))))) ) ) ).
fof(fc2_matrix11, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) & m1_subset_1(C, k9_matrix_1(A)))  => v7_ordinal1(k1_funct_1(C, B))) ) ).
fof(fc3_matrix11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (v1_funct_1(u2_algstr_0(A)) &  (v1_funct_2(u2_algstr_0(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & v1_setwiseo(u2_algstr_0(A), u1_struct_0(A))) ) ) ) ).
fof(fc4_matrix11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (v1_funct_1(u2_algstr_0(A)) &  (v1_funct_2(u2_algstr_0(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & v2_binop_1(u2_algstr_0(A), u1_struct_0(A))) ) ) ) ).
fof(rc1_matrix11, axiom,  (? [A] :  (l6_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v1_algstr_1(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_1(A) &  (v2_vectsp_1(A) &  (v3_vectsp_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v6_vectsp_1(A) &  (v12_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & v1_vectsp_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k1_nat_1(A, 2)), k2_finseq_1(k1_nat_1(A, 2))))) &  (v1_relat_1(B) &  (v4_relat_1(B, k2_finseq_1(k1_nat_1(A, 2))) &  (v5_relat_1(B, k2_finseq_1(k1_nat_1(A, 2))) &  (v1_funct_1(B) &  (v2_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, k2_finseq_1(k1_nat_1(A, 2))) &  (v1_funct_2(B, k2_finseq_1(k1_nat_1(A, 2)), k2_finseq_1(k1_nat_1(A, 2))) &  (v2_funct_2(B, k2_finseq_1(k1_nat_1(A, 2))) &  (v3_funct_2(B, k2_finseq_1(k1_nat_1(A, 2)), k2_finseq_1(k1_nat_1(A, 2))) &  (v1_finset_1(B) &  ~ (v6_matrix_1(B, k1_nat_1(A, 2))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc5_matrix11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) & l2_algstr_0(A)) )  =>  (v1_funct_1(k5_matrix11(A)) &  (v1_funct_2(k5_matrix11(A), k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), k3_finseq_2(u1_struct_0(A))), k3_finseq_2(u1_struct_0(A))) & v1_binop_1(k5_matrix11(A), k3_finseq_2(u1_struct_0(A)))) ) ) ) ).
fof(fc6_matrix11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) & l2_algstr_0(A)) )  =>  (v1_funct_1(k5_matrix11(A)) &  (v1_funct_2(k5_matrix11(A), k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), k3_finseq_2(u1_struct_0(A))), k3_finseq_2(u1_struct_0(A))) & v2_binop_1(k5_matrix11(A), k3_finseq_2(u1_struct_0(A)))) ) ) ) ).
fof(t1_matrix11, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(A, k2_sgraph1(k2_finseq_1(B))) <=>  (? [C] :  (v7_ordinal1(C) &  (? [D] :  (v7_ordinal1(D) &  (r2_tarski(C, k2_finseq_1(B)) &  (r2_tarski(D, k2_finseq_1(B)) &  ( ~ (r1_xxreal_0(D, C))  & A=k2_tarski(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_matrix11, axiom,  (k2_sgraph1(k2_finseq_1(k5_numbers))=k1_xboole_0 & k2_sgraph1(k2_finseq_1(1))=k1_xboole_0) ).
fof(t3_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(2, A) => r2_tarski(k2_tarski(1, 2), k2_sgraph1(k2_finseq_1(A)))) ) ) ).
fof(d1_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_matrix_1(C, k9_matrix_1(k1_nat_1(A, 2))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_sgraph1(k2_finseq_1(k1_nat_1(A, 2))), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A, 2))), u1_struct_0(B))))) )  =>  (D=k1_matrix11(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r2_tarski(E, k2_finseq_1(k1_nat_1(A, 2))) & r2_tarski(F, k2_finseq_1(k1_nat_1(A, 2))))  =>  (r1_xxreal_0(F, E) |  ( ( ~ (r1_xxreal_0(k1_funct_1(C, F), k1_funct_1(C, E)))  => k1_funct_1(D, k2_tarski(E, F))=k1_group_1(B))  &  ( ~ (r1_xxreal_0(k1_funct_1(C, E), k1_funct_1(C, F)))  => k1_funct_1(D, k2_tarski(E, F))=k4_algstr_0(B, k1_group_1(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_matrix_1(C, k9_matrix_1(k1_nat_1(A, 2))) =>  (! [D] :  (m1_subset_1(D, k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A, 2))))) =>  ( (! [E] :  (r2_hidden(E, D) => k1_funct_1(k1_matrix11(A, B, C), E)=k1_group_1(B)) )  => k7_setwiseo(k2_sgraph1(k2_finseq_1(k1_nat_1(A, 2))), u1_struct_0(B), u2_algstr_0(B), D, k1_matrix11(A, B, C))=k1_group_1(B)) ) ) ) ) ) ) ) ) ).
fof(t5_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_matrix_1(C, k9_matrix_1(k1_nat_1(A, 2))) =>  (! [D] :  (m1_subset_1(D, k2_sgraph1(k2_finseq_1(k1_nat_1(A, 2)))) =>  (k3_funct_2(k2_sgraph1(k2_finseq_1(k1_nat_1(A, 2))), u1_struct_0(B), k1_matrix11(A, B, C), D)=k1_group_1(B) | k3_funct_2(k2_sgraph1(k2_finseq_1(k1_nat_1(A, 2))), u1_struct_0(B), k1_matrix11(A, B, C), D)=k4_algstr_0(B, k1_group_1(B))) ) ) ) ) ) ) ) ) ).
fof(t6_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_matrix_1(C, k9_matrix_1(k1_nat_1(A, 2))) =>  (! [D] :  (m1_matrix_1(D, k9_matrix_1(k1_nat_1(A, 2))) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r2_tarski(E, k2_finseq_1(k1_nat_1(A, 2))) &  (r2_tarski(F, k2_finseq_1(k1_nat_1(A, 2))) &  (k1_funct_1(C, E)=k1_funct_1(D, E) & k1_funct_1(C, F)=k1_funct_1(D, F)) ) )  =>  (r1_xxreal_0(F, E) | k1_funct_1(k1_matrix11(A, B, C), k2_tarski(E, F))=k1_funct_1(k1_matrix11(A, B, D), k2_tarski(E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_finseq_1(A), k2_finseq_1(A)) &  (v3_funct_2(B, k2_finseq_1(A), k2_finseq_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(A))))) ) )  =>  (v5_matrix_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( ~ (r1_xxreal_0(D, C))  =>  (k1_funct_1(B, C)=D <=>  (r2_tarski(C, k9_xtuple_0(B)) &  (r2_tarski(D, k9_xtuple_0(B)) &  (k1_funct_1(B, C)=D &  (k1_funct_1(B, D)=C &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k9_xtuple_0(B)) =>  (E=C |  (E=D | k1_funct_1(B, E)=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_matrix_1(C, k9_matrix_1(k1_nat_1(A, 2))) =>  (! [D] :  (m1_matrix_1(D, k9_matrix_1(k1_nat_1(A, 2))) =>  (! [E] :  (m1_matrix_1(E, k9_matrix_1(k1_nat_1(A, 2))) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ( (r2_funct_2(k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2)))), k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2)))), E, k1_partfun1(k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2)))), k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2)))), k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2)))), k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2)))), D, C)) &  (v5_matrix_1(D, k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2)))) & k1_funct_1(D, F)=G) )  =>  (r1_xxreal_0(G, F) |  (! [H] :  (m1_subset_1(H, k2_sgraph1(k2_finseq_1(k1_nat_1(A, 2)))) =>  ~ ( ( ~ (k3_funct_2(k2_sgraph1(k2_finseq_1(k1_nat_1(A, 2))), u1_struct_0(B), k1_matrix11(A, B, C), H)=k3_funct_2(k2_sgraph1(k2_finseq_1(k1_nat_1(A, 2))), u1_struct_0(B), k1_matrix11(A, B, E), H))  &  ( ~ (r2_tarski(F, H))  &  ~ (r2_tarski(G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_matrix_1(B, k9_matrix_1(k1_nat_1(A, 2))) =>  (! [C] :  (m1_matrix_1(C, k9_matrix_1(k1_nat_1(A, 2))) =>  (! [D] :  (m1_matrix_1(D, k9_matrix_1(k1_nat_1(A, 2))) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  &  (v13_algstr_0(G) &  (v3_group_1(G) &  (v5_group_1(G) &  (v4_vectsp_1(G) &  (v5_vectsp_1(G) &  (v2_rlvect_1(G) &  (v3_rlvect_1(G) &  (v4_rlvect_1(G) & l6_algstr_0(G)) ) ) ) ) ) ) ) )  =>  ( (r2_funct_2(k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2)))), k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2)))), D, k1_partfun1(k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2)))), k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2)))), k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2)))), k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2)))), C, B)) &  (v5_matrix_1(C, k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2)))) & k1_funct_1(C, E)=F) )  =>  (r1_xxreal_0(F, E) |  (k1_group_1(G)=k4_algstr_0(G, k1_group_1(G)) |  ( ~ (k1_funct_1(k1_matrix11(A, G, B), k2_tarski(E, F))=k1_funct_1(k1_matrix11(A, G, D), k2_tarski(E, F)))  &  (! [H] :  (v7_ordinal1(H) =>  (r2_tarski(H, k2_finseq_1(k1_nat_1(A, 2))) =>  (E=H |  (F=H |  ( ~ ( ( ~ (k1_funct_1(k1_matrix11(A, G, B), k2_tarski(E, H))=k1_funct_1(k1_matrix11(A, G, D), k2_tarski(E, H)))  & k1_funct_1(k1_matrix11(A, G, B), k2_tarski(F, H))=k1_funct_1(k1_matrix11(A, G, D), k2_tarski(F, H))) )  &  ~ ( ( ~ (k1_funct_1(k1_matrix11(A, G, B), k2_tarski(F, H))=k1_funct_1(k1_matrix11(A, G, D), k2_tarski(F, H)))  & k1_funct_1(k1_matrix11(A, G, B), k2_tarski(E, H))=k1_funct_1(k1_matrix11(A, G, D), k2_tarski(E, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_matrix_1(C, k9_matrix_1(k1_nat_1(A, 2))) => k2_matrix11(A, B, C)=k7_setwiseo(k2_sgraph1(k2_finseq_1(k1_nat_1(A, 2))), u1_struct_0(B), u2_algstr_0(B), k10_subset_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A, 2))), k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A, 2))))), k1_matrix11(A, B, C))) ) ) ) ) ) ).
fof(t11_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_matrix_1(C, k9_matrix_1(k1_nat_1(A, 2))) =>  (k2_matrix11(A, B, C)=k1_group_1(B) | k2_matrix11(A, B, C)=k4_algstr_0(B, k1_group_1(B))) ) ) ) ) ) ) ).
fof(t12_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_matrix_1(C, k9_matrix_1(k1_nat_1(A, 2))) =>  (C=k1_finseq_2(k1_nat_1(A, 2)) => k2_matrix11(A, B, C)=k1_group_1(B)) ) ) ) ) ) ) ).
fof(t13_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_matrix_1(C, k9_matrix_1(k1_nat_1(A, 2))) =>  (! [D] :  (m1_matrix_1(D, k9_matrix_1(k1_nat_1(A, 2))) =>  (! [E] :  (m1_matrix_1(E, k9_matrix_1(k1_nat_1(A, 2))) =>  ( (r2_funct_2(k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2)))), k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2)))), E, k1_partfun1(k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2)))), k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2)))), k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2)))), k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2)))), D, C)) & v5_matrix_1(D, k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2)))))  => k2_matrix11(A, B, E)=k4_algstr_0(B, k2_matrix11(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_matrix_1(C, k9_matrix_1(k1_nat_1(A, 2))) =>  (v5_matrix_1(C, k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2)))) => k2_matrix11(A, B, C)=k4_algstr_0(B, k1_group_1(B))) ) ) ) ) ) ) ).
fof(t15_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k10_matrix_1(k1_nat_1(A, 2)))) =>  (! [D] :  (m1_matrix_1(D, k9_matrix_1(k1_nat_1(A, 2))) =>  ( (D=k3_group_4(k10_matrix_1(k1_nat_1(A, 2)), C) &  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_tarski(E, k4_finseq_1(C)) &  (! [F] :  (m1_matrix_1(F, k9_matrix_1(k1_nat_1(A, 2))) =>  ~ ( (k1_funct_1(C, E)=F & v5_matrix_1(F, k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2))))) ) ) ) ) ) ) ) )  =>  ( (k4_nat_d(k3_finseq_1(C), 2)=k5_numbers => k2_matrix11(A, B, D)=k1_group_1(B))  &  (k4_nat_d(k3_finseq_1(C), 2)=1 => k2_matrix11(A, B, D)=k4_algstr_0(B, k1_group_1(B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  (r2_tarski(A, k2_finseq_1(C)) &  (r2_tarski(B, k2_finseq_1(C)) &  (! [D] :  (m1_matrix_1(D, k9_matrix_1(C)) =>  ~ ( (v5_matrix_1(D, k8_matrix_1(k9_matrix_1(C))) & k1_funct_1(D, A)=B) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_matrix_1(B, k9_matrix_1(k1_nat_1(A, 1))) =>  ~ ( ( ~ (k1_funct_1(B, k1_nat_1(A, 1))=k1_nat_1(A, 1))  &  (! [C] :  (m1_matrix_1(C, k9_matrix_1(k1_nat_1(A, 1))) =>  ~ ( (v5_matrix_1(C, k8_matrix_1(k9_matrix_1(k1_nat_1(A, 1)))) &  (k1_funct_1(C, k1_funct_1(B, k1_nat_1(A, 1)))=k1_nat_1(A, 1) & k1_funct_1(k1_partfun1(k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A, 1)))), k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A, 1)))), k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A, 1)))), k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A, 1)))), B, C), k1_nat_1(A, 1))=k1_nat_1(A, 1)) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_matrix11, axiom,  (! [A] :  (! [B] :  ( ~ (r2_hidden(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_xboole_0(A, k1_tarski(B)), k2_xboole_0(A, k1_tarski(B))) &  (v3_funct_2(C, k2_xboole_0(A, k1_tarski(B)), k2_xboole_0(A, k1_tarski(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(A, k1_tarski(B)), k2_xboole_0(A, k1_tarski(B)))))) ) )  =>  ~ ( (k1_funct_1(C, B)=B &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, A) &  (v3_funct_2(D, A, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  ~ (k2_partfun1(k2_xboole_0(A, k1_tarski(B)), k2_xboole_0(A, k1_tarski(B)), C, A)=D) ) ) ) ) ) ) ) ) ) ).
fof(t19_matrix11, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, B) &  (v3_funct_2(C, B, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, B) &  (v3_funct_2(D, B, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_xboole_0(B, k1_tarski(A)), k2_xboole_0(B, k1_tarski(A))) &  (v3_funct_2(E, k2_xboole_0(B, k1_tarski(A)), k2_xboole_0(B, k1_tarski(A))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(B, k1_tarski(A)), k2_xboole_0(B, k1_tarski(A)))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_xboole_0(B, k1_tarski(A)), k2_xboole_0(B, k1_tarski(A))) &  (v3_funct_2(F, k2_xboole_0(B, k1_tarski(A)), k2_xboole_0(B, k1_tarski(A))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(B, k1_tarski(A)), k2_xboole_0(B, k1_tarski(A)))))) ) )  =>  ( (k2_partfun1(k2_xboole_0(B, k1_tarski(A)), k2_xboole_0(B, k1_tarski(A)), E, B)=C &  (k2_partfun1(k2_xboole_0(B, k1_tarski(A)), k2_xboole_0(B, k1_tarski(A)), F, B)=D &  (k1_funct_1(E, A)=A & k1_funct_1(F, A)=A) ) )  =>  (k2_partfun1(k2_xboole_0(B, k1_tarski(A)), k2_xboole_0(B, k1_tarski(A)), k1_partfun1(k2_xboole_0(B, k1_tarski(A)), k2_xboole_0(B, k1_tarski(A)), k2_xboole_0(B, k1_tarski(A)), k2_xboole_0(B, k1_tarski(A)), F, E), B)=k1_partfun1(B, B, B, B, D, C) & k1_funct_1(k1_partfun1(k2_xboole_0(B, k1_tarski(A)), k2_xboole_0(B, k1_tarski(A)), k2_xboole_0(B, k1_tarski(A)), k2_xboole_0(B, k1_tarski(A)), F, E), A)=A) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_matrix_1(B, k9_matrix_1(A)) =>  (v5_matrix_1(B, k8_matrix_1(k9_matrix_1(A))) =>  (k1_partfun1(k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), B, B)=k1_finseq_2(A) & r2_funct_2(k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), B, k2_funct_2(k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), B))) ) ) ) ) ) ).
fof(t21_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_matrix_1(B, k9_matrix_1(A)) =>  (? [C] :  (m2_finseq_1(C, u1_struct_0(k10_matrix_1(A))) &  (B=k3_group_4(k10_matrix_1(A), C) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(D, k4_finseq_1(C)) &  (! [E] :  (m1_matrix_1(E, k9_matrix_1(A)) =>  ~ ( (k1_funct_1(C, D)=E & v5_matrix_1(E, k8_matrix_1(k9_matrix_1(A)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_matrix11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  ( (v4_vectsp_1(A) & v1_vectsp_2(A))  =>  (v6_struct_0(A) |  (v12_vectsp_1(A) <=>  ~ (k1_group_1(A)=k4_algstr_0(A, k1_group_1(A))) ) ) ) ) ) ).
fof(t23_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_matrix_1(C, k9_matrix_1(k1_nat_1(A, 2))) =>  (v12_vectsp_1(B) =>  (v6_struct_0(B) |  ( (v6_matrix_1(C, k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2)))) => k2_matrix11(A, B, C)=k1_group_1(B))  &  ( (k2_matrix11(A, B, C)=k1_group_1(B) => v6_matrix_1(C, k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2)))))  &  ( ( ~ (v6_matrix_1(C, k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2)))))  => k2_matrix11(A, B, C)=k4_algstr_0(B, k1_group_1(B)))  &  ~ ( (k2_matrix11(A, B, C)=k4_algstr_0(B, k1_group_1(B)) & v6_matrix_1(C, k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_matrix_1(C, k9_matrix_1(k1_nat_1(A, 2))) =>  (! [D] :  (m1_matrix_1(D, k9_matrix_1(k1_nat_1(A, 2))) =>  (! [E] :  (m1_matrix_1(E, k9_matrix_1(k1_nat_1(A, 2))) =>  (r2_funct_2(k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2)))), k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2)))), E, k1_partfun1(k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2)))), k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2)))), k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2)))), k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2)))), D, C)) => k2_matrix11(A, B, E)=k8_group_1(B, k2_matrix11(A, B, C), k2_matrix11(A, B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_matrix_1(B, k9_matrix_1(A)) =>  (! [C] :  (m1_matrix_1(C, k9_matrix_1(A)) =>  ( ( (v6_matrix_1(B, k8_matrix_1(k9_matrix_1(A))) & v6_matrix_1(C, k8_matrix_1(k9_matrix_1(A))))  |  ( ~ (v6_matrix_1(B, k8_matrix_1(k9_matrix_1(A))))  &  ~ (v6_matrix_1(C, k8_matrix_1(k9_matrix_1(A)))) ) )  <=> v6_matrix_1(k1_partfun1(k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), C, B), k8_matrix_1(k9_matrix_1(A)))) ) ) ) ) ) ) ).
fof(t26_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_matrix_1(D, k9_matrix_1(k1_nat_1(A, 2))) =>  ( (v4_vectsp_1(B) & v1_vectsp_2(B))  =>  (v6_struct_0(B) | k11_matrix_1(B, k1_nat_1(A, 2), C, D)=k8_group_1(B, k2_matrix11(A, B, D), C)) ) ) ) ) ) ) ) ) ) ).
fof(t27_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_matrix_1(B, k9_matrix_1(k1_nat_1(A, 2))) =>  ~ ( (v5_matrix_1(B, k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2)))) & v6_matrix_1(B, k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2))))) ) ) ) ) ) ).
fof(d3_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, D, B, C) & m2_finseq_1(E, k3_finseq_2(D))) )  =>  (! [F] :  (m2_finseq_1(F, D) =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, D, B, C) & m2_finseq_1(G, k3_finseq_2(D))) )  =>  ( (k3_finseq_1(F)=k1_matrix_0(E) =>  (G=k3_matrix11(A, B, C, D, E, F) <=>  (k3_finseq_1(G)=k3_finseq_1(E) &  (k1_matrix_0(G)=k1_matrix_0(E) &  (! [H] :  (v7_ordinal1(H) =>  (! [I] :  (v7_ordinal1(I) =>  (r2_hidden(k4_tarski(H, I), k2_matrix_0(E)) =>  ( ( ~ (H=A)  => k3_matrix_0(D, G, H, I)=k3_matrix_0(D, E, H, I))  &  (H=A => k3_matrix_0(D, G, A, I)=k1_funct_1(F, I)) ) ) ) ) ) ) ) ) ) )  &  ( ~ (k3_finseq_1(F)=k1_matrix_0(E))  =>  (G=k3_matrix11(A, B, C, D, E, F) <=> G=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, C, A, B) & m2_finseq_1(E, k3_finseq_2(C))) )  =>  (! [F] :  (m2_finseq_1(F, C) =>  (! [G] :  (v7_ordinal1(G) =>  (r2_tarski(G, k2_finseq_1(A)) =>  ( ( (G=D & k3_finseq_1(F)=k1_matrix_0(E))  => k7_matrix_0(C, k3_matrix11(D, A, B, C, E, F), G)=F)  &  ( ~ (G=D)  => k7_matrix_0(C, k3_matrix11(D, A, B, C, E, F), G)=k7_matrix_0(C, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, D, B, C) & m2_finseq_1(E, k3_finseq_2(D))) )  =>  (! [F] :  (m2_finseq_1(F, D) =>  (k3_finseq_1(F)=k1_matrix_0(E) =>  (! [G] :  (m2_finseq_2(G, D, k3_finseq_2(D)) =>  (F=G => k3_matrix11(A, B, C, D, E, F)=k1_finseq_7(k3_finseq_2(D), E, A, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, D, B, C) & m2_finseq_1(E, k3_finseq_2(D))) )  => E=k3_matrix11(A, B, C, D, E, k7_matrix_0(D, E, A))) ) ) ) ) ) ) ) ) ) ).
fof(t31_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (m2_finseq_1(F, u1_struct_0(B)) =>  (! [G] :  (m2_finseq_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_matrix_1(H, k9_matrix_1(A)) =>  ( (r2_tarski(E, k2_finseq_1(A)) &  (k3_finseq_1(F)=A & k3_finseq_1(G)=A) )  =>  (! [I] :  ( (v1_matrix_0(I) &  (v2_matrix_0(I, u1_struct_0(B), A, A) & m2_finseq_1(I, k3_finseq_2(u1_struct_0(B)))) )  => k1_finsop_1(u1_struct_0(B), k10_matrix_3(A, B, k3_matrix11(E, A, A, u1_struct_0(B), I, k3_fvsum_1(B, k9_fvsum_1(B, F, C), k9_fvsum_1(B, G, D))), H), u2_algstr_0(B))=k3_rlvect_1(B, k8_group_1(B, C, k1_finsop_1(u1_struct_0(B), k10_matrix_3(A, B, k3_matrix11(E, A, A, u1_struct_0(B), I, F), H), u2_algstr_0(B))), k8_group_1(B, D, k1_finsop_1(u1_struct_0(B), k10_matrix_3(A, B, k3_matrix11(E, A, A, u1_struct_0(B), I, G), H), u2_algstr_0(B))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (m2_finseq_1(F, u1_struct_0(B)) =>  (! [G] :  (m2_finseq_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_matrix_1(H, k9_matrix_1(A)) =>  ( (r2_tarski(E, k2_finseq_1(A)) &  (k3_finseq_1(F)=A & k3_finseq_1(G)=A) )  =>  (! [I] :  ( (v1_matrix_0(I) &  (v2_matrix_0(I, u1_struct_0(B), A, A) & m2_finseq_1(I, k3_finseq_2(u1_struct_0(B)))) )  => k3_funct_2(k9_matrix_1(A), u1_struct_0(B), k11_matrix_3(A, B, k3_matrix11(E, A, A, u1_struct_0(B), I, k3_fvsum_1(B, k9_fvsum_1(B, F, C), k9_fvsum_1(B, G, D)))), H)=k3_rlvect_1(B, k8_group_1(B, C, k3_funct_2(k9_matrix_1(A), u1_struct_0(B), k11_matrix_3(A, B, k3_matrix11(E, A, A, u1_struct_0(B), I, F)), H)), k8_group_1(B, D, k3_funct_2(k9_matrix_1(A), u1_struct_0(B), k11_matrix_3(A, B, k3_matrix11(E, A, A, u1_struct_0(B), I, G)), H)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (m2_finseq_1(F, u1_struct_0(B)) =>  (! [G] :  (m2_finseq_1(G, u1_struct_0(B)) =>  ( (r2_tarski(E, k2_finseq_1(A)) &  (k3_finseq_1(F)=A & k3_finseq_1(G)=A) )  =>  (! [H] :  ( (v1_matrix_0(H) &  (v2_matrix_0(H, u1_struct_0(B), A, A) & m2_finseq_1(H, k3_finseq_2(u1_struct_0(B)))) )  => k12_matrix_3(A, B, k3_matrix11(E, A, A, u1_struct_0(B), H, k3_fvsum_1(B, k9_fvsum_1(B, F, C), k9_fvsum_1(B, G, D))))=k3_rlvect_1(B, k8_group_1(B, C, k12_matrix_3(A, B, k3_matrix11(E, A, A, u1_struct_0(B), H, F))), k8_group_1(B, D, k12_matrix_3(A, B, k3_matrix11(E, A, A, u1_struct_0(B), H, G))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(C), B, B) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(C)))) )  =>  ( (r2_tarski(A, k2_finseq_1(B)) & k3_finseq_1(D)=B)  => k12_matrix_3(B, C, k3_matrix11(A, B, B, u1_struct_0(C), F, k9_fvsum_1(C, D, E)))=k8_group_1(C, E, k12_matrix_3(B, C, k3_matrix11(A, B, B, u1_struct_0(C), F, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(C), B, B) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(C)))) )  =>  (r2_tarski(A, k2_finseq_1(B)) => k12_matrix_3(B, C, k3_matrix11(A, B, B, u1_struct_0(C), E, k10_fvsum_1(k1_matrix_0(E), C, k7_matrix_0(u1_struct_0(C), E, A), D)))=k8_group_1(C, D, k12_matrix_3(B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(C)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(C)) =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(C), B, B) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(C)))) )  =>  ( (r2_tarski(A, k2_finseq_1(B)) &  (k3_finseq_1(D)=B & k3_finseq_1(E)=B) )  => k12_matrix_3(B, C, k3_matrix11(A, B, B, u1_struct_0(C), F, k3_fvsum_1(C, D, E)))=k3_rlvect_1(C, k12_matrix_3(B, C, k3_matrix11(A, B, B, u1_struct_0(C), F, D)), k12_matrix_3(B, C, k3_matrix11(A, B, B, u1_struct_0(C), F, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_finseq_1(A), k2_finseq_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(A))))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, C, A, B) & m2_finseq_1(E, k3_finseq_2(C))) )  =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, C, A, B) & m2_finseq_1(F, k3_finseq_2(C))) )  =>  (F=k4_matrix11(A, B, C, D, E) <=>  (k3_finseq_1(F)=k3_finseq_1(E) &  (k1_matrix_0(F)=k1_matrix_0(E) &  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (v7_ordinal1(H) =>  (! [I] :  (v7_ordinal1(I) =>  ( (r2_hidden(k4_tarski(G, H), k2_matrix_0(E)) & k1_funct_1(D, G)=I)  => k3_matrix_0(C, F, G, H)=k3_matrix_0(C, E, I, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_finseq_1(A), k2_finseq_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(A))))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, C, A, B) & m2_finseq_1(E, k3_finseq_2(C))) )  =>  (k2_matrix_0(E)=k2_matrix_0(k4_matrix11(A, B, C, D, E)) &  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ~ ( (r2_hidden(k4_tarski(F, G), k2_matrix_0(E)) &  (! [H] :  (v7_ordinal1(H) =>  ~ ( (k1_funct_1(D, F)=H &  (r2_hidden(k4_tarski(H, G), k2_matrix_0(E)) & k3_matrix_0(C, k4_matrix11(A, B, C, D, E), F, G)=k3_matrix_0(C, E, H, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, C, A, B) & m2_finseq_1(D, k3_finseq_2(C))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_finseq_1(A), k2_finseq_1(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(A))))) )  =>  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k2_finseq_1(A)) => k7_matrix_0(C, k4_matrix11(A, B, C, E, D), F)=k1_funct_1(D, k1_funct_1(E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, C, A, B) & m2_finseq_1(D, k3_finseq_2(C))) )  => k3_relat_1(k1_finseq_2(A), D)=D) ) ) ) ) ) ) ) ).
fof(t40_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  (m1_matrix_1(D, k9_matrix_1(A)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_finseq_1(A), k2_finseq_1(A)) &  (v3_funct_2(E, k2_finseq_1(A), k2_finseq_1(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(A))))) ) )  =>  (! [F] :  (m1_matrix_1(F, k9_matrix_1(A)) =>  (F=k1_partfun1(k2_finseq_1(A), k2_finseq_1(A), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_funct_2(k2_finseq_1(A), E), D) => k10_matrix_3(A, B, k4_matrix11(A, A, u1_struct_0(B), E, C), D)=k1_partfun1(k2_finseq_1(A), k2_finseq_1(A), k4_ordinal1, u1_struct_0(B), E, k10_matrix_3(A, B, C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  (m1_matrix_1(D, k9_matrix_1(A)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_finseq_1(A), k2_finseq_1(A)) &  (v3_funct_2(E, k2_finseq_1(A), k2_finseq_1(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(A))))) ) )  =>  (! [F] :  (m1_matrix_1(F, k9_matrix_1(A)) =>  (F=k1_partfun1(k2_finseq_1(A), k2_finseq_1(A), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_funct_2(k2_finseq_1(A), E), D) => k1_finsop_1(u1_struct_0(B), k10_matrix_3(A, B, k4_matrix11(A, A, u1_struct_0(B), E, C), D), u2_algstr_0(B))=k1_finsop_1(u1_struct_0(B), k10_matrix_3(A, B, C, F), u2_algstr_0(B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (v1_vectsp_2(B) =>  (v6_struct_0(B) |  (! [C] :  (m1_matrix_1(C, k9_matrix_1(k1_nat_1(A, 2))) =>  (! [D] :  (m1_matrix_1(D, k9_matrix_1(k1_nat_1(A, 2))) =>  (r2_funct_2(k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2)))), k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2)))), D, k2_funct_2(k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2)))), C)) => k2_matrix11(A, B, C)=k2_matrix11(A, B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  ( (v4_vectsp_1(B) & v1_vectsp_2(B))  =>  (v6_struct_0(B) |  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), k1_nat_1(A, 2), k1_nat_1(A, 2)) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  (m1_matrix_1(D, k9_matrix_1(k1_nat_1(A, 2))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_finseq_1(k1_nat_1(A, 2)), k2_finseq_1(k1_nat_1(A, 2))) &  (v3_funct_2(E, k2_finseq_1(k1_nat_1(A, 2)), k2_finseq_1(k1_nat_1(A, 2))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k1_nat_1(A, 2)), k2_finseq_1(k1_nat_1(A, 2)))))) ) )  =>  (D=E =>  (! [F] :  (m1_matrix_1(F, k9_matrix_1(k1_nat_1(A, 2))) =>  (! [G] :  (m1_matrix_1(G, k9_matrix_1(k1_nat_1(A, 2))) =>  (G=k1_partfun1(k2_finseq_1(k1_nat_1(A, 2)), k2_finseq_1(k1_nat_1(A, 2)), k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2)))), k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A, 2)))), k2_funct_2(k2_finseq_1(k1_nat_1(A, 2)), E), F) => k3_funct_2(k9_matrix_1(k1_nat_1(A, 2)), u1_struct_0(B), k11_matrix_3(k1_nat_1(A, 2), B, C), G)=k8_group_1(B, k2_matrix11(A, B, D), k3_funct_2(k9_matrix_1(k1_nat_1(A, 2)), u1_struct_0(B), k11_matrix_3(k1_nat_1(A, 2), B, k4_matrix11(k1_nat_1(A, 2), k1_nat_1(A, 2), u1_struct_0(B), E, C)), F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_matrix_1(B, k9_matrix_1(A)) =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k9_matrix_1(A), k9_matrix_1(A)) &  (v3_funct_2(C, k9_matrix_1(A), k9_matrix_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_matrix_1(A), k9_matrix_1(A))))) ) )  &  (! [D] :  (m1_matrix_1(D, k9_matrix_1(A)) => k3_funct_2(k9_matrix_1(A), k9_matrix_1(A), C, D)=k1_partfun1(k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), B, D)) ) ) ) ) ) ) ) ).
fof(t45_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  ( (v1_vectsp_2(B) & v4_vectsp_1(B))  =>  (v6_struct_0(B) |  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), k1_nat_1(A, 2), k1_nat_1(A, 2)) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  (m1_matrix_1(D, k9_matrix_1(k1_nat_1(A, 2))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_finseq_1(k1_nat_1(A, 2)), k2_finseq_1(k1_nat_1(A, 2))) &  (v3_funct_2(E, k2_finseq_1(k1_nat_1(A, 2)), k2_finseq_1(k1_nat_1(A, 2))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k1_nat_1(A, 2)), k2_finseq_1(k1_nat_1(A, 2)))))) ) )  =>  (D=E => k12_matrix_3(k1_nat_1(A, 2), B, k4_matrix11(k1_nat_1(A, 2), k1_nat_1(A, 2), u1_struct_0(B), E, C))=k8_group_1(B, k2_matrix11(A, B, D), k12_matrix_3(k1_nat_1(A, 2), B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  ( (v4_vectsp_1(B) & v1_vectsp_2(B))  =>  (v6_struct_0(B) |  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  (m1_matrix_1(D, k9_matrix_1(A)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_finseq_1(A), k2_finseq_1(A)) &  (v3_funct_2(E, k2_finseq_1(A), k2_finseq_1(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(A))))) ) )  =>  (D=E => k12_matrix_3(A, B, k4_matrix11(A, A, u1_struct_0(B), E, C))=k11_matrix_1(B, A, k12_matrix_3(A, B, C), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  ( (v4_vectsp_1(B) & v1_vectsp_2(B))  =>  (v6_struct_0(B) |  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(C, k2_finseq_1(A)) & r2_tarski(D, k2_finseq_1(A)))  =>  (r1_xxreal_0(D, C) |  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(B), A, A) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B)))) )  =>  (k7_matrix_0(u1_struct_0(B), E, C)=k7_matrix_0(u1_struct_0(B), E, D) =>  (! [F] :  (m1_matrix_1(F, k9_matrix_1(A)) =>  (! [G] :  (m1_matrix_1(G, k9_matrix_1(A)) =>  (! [H] :  (m1_matrix_1(H, k9_matrix_1(A)) =>  ( (r2_funct_2(k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), G, k1_partfun1(k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), H, F)) &  (v5_matrix_1(H, k8_matrix_1(k9_matrix_1(A))) & k1_funct_1(H, C)=D) )  => k3_funct_2(k9_matrix_1(A), u1_struct_0(B), k11_matrix_3(A, B, E), G)=k4_algstr_0(B, k3_funct_2(k9_matrix_1(A), u1_struct_0(B), k11_matrix_3(A, B, E), F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  ( (v4_vectsp_1(B) & v1_vectsp_2(B))  =>  (v6_struct_0(B) |  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(C, k2_finseq_1(A)) & r2_tarski(D, k2_finseq_1(A)))  =>  (r1_xxreal_0(D, C) |  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(B), A, A) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B)))) )  =>  (k7_matrix_0(u1_struct_0(B), E, C)=k7_matrix_0(u1_struct_0(B), E, D) => k12_matrix_3(A, B, E)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v4_vectsp_1(B) & v1_vectsp_2(B))  =>  (v6_struct_0(B) |  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(D, k2_finseq_1(A)) & r2_tarski(E, k2_finseq_1(A)))  =>  (D=E | k12_matrix_3(A, B, k3_matrix11(D, A, A, u1_struct_0(B), C, k7_matrix_0(u1_struct_0(B), C, E)))=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v4_vectsp_1(B) & v1_vectsp_2(B))  =>  (v6_struct_0(B) |  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r2_tarski(E, k2_finseq_1(A)) & r2_tarski(F, k2_finseq_1(A)))  =>  (E=F | k12_matrix_3(A, B, k3_matrix11(E, A, A, u1_struct_0(B), D, k10_fvsum_1(k1_matrix_0(D), B, k7_matrix_0(u1_struct_0(B), D, F), C)))=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v4_vectsp_1(B) & v1_vectsp_2(B))  =>  (v6_struct_0(B) |  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r2_tarski(E, k2_finseq_1(A)) & r2_tarski(F, k2_finseq_1(A)))  =>  (E=F | k12_matrix_3(A, B, D)=k12_matrix_3(A, B, k3_matrix11(E, A, A, u1_struct_0(B), D, k4_fvsum_1(k1_matrix_0(D), B, k7_matrix_0(u1_struct_0(B), D, E), k10_fvsum_1(k1_matrix_0(D), B, k7_matrix_0(u1_struct_0(B), D, F), C))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_finseq_1(A), k2_finseq_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(A))))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v4_vectsp_1(B) & v1_vectsp_2(B))  =>  (v6_struct_0(B) |  (r2_tarski(C, k9_matrix_1(A)) | k12_matrix_3(A, B, k4_matrix11(A, A, u1_struct_0(B), C, D))=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_matrix11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), k3_finseq_2(u1_struct_0(A))), k3_finseq_2(u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), k3_finseq_2(u1_struct_0(A))), k3_finseq_2(u1_struct_0(A)))))) )  =>  (B=k5_matrix11(A) <=>  (! [C] :  (m2_finseq_2(C, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) => k4_binop_1(k3_finseq_2(u1_struct_0(A)), B, C, D)=k3_fvsum_1(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t55_matrix11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (k1_matrix_0(B)=k3_finseq_1(C) =>  (r1_xxreal_0(k3_finseq_1(C), k5_numbers) |  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(D, k2_finseq_1(k3_finseq_1(B))) &  (! [E] :  (m2_finseq_1(E, k3_finseq_2(u1_struct_0(A))) =>  ~ ( (k3_finseq_1(E)=k3_finseq_1(C) &  (k7_matrix_0(u1_struct_0(A), k4_matrix_3(A, B, C), D)=k1_finsop_1(k3_finseq_2(u1_struct_0(A)), E, k5_matrix11(A)) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k2_finseq_1(k3_finseq_1(C))) => k1_funct_1(E, F)=k10_fvsum_1(k1_matrix_0(C), A, k7_matrix_0(u1_struct_0(A), C, F), k3_matrix_0(u1_struct_0(A), B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(B), A, A) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r2_tarski(F, k2_finseq_1(A)) &  (! [G] :  (m2_finseq_1(G, u1_struct_0(B)) =>  ~ ( (k3_finseq_1(G)=A &  (k12_matrix_3(A, B, k3_matrix11(F, A, A, u1_struct_0(B), E, k7_matrix_0(u1_struct_0(B), k4_matrix_3(B, C, D), F)))=k1_finsop_1(u1_struct_0(B), G, u1_algstr_0(B)) &  (! [H] :  (v7_ordinal1(H) =>  (r2_tarski(H, k2_finseq_1(A)) => k1_funct_1(G, H)=k8_group_1(B, k3_matrix_0(u1_struct_0(B), C, F, H), k12_matrix_3(A, B, k3_matrix11(F, A, A, u1_struct_0(B), E, k7_matrix_0(u1_struct_0(B), D, H))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_matrix11, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ~ ( ( ~ (r2_hidden(C, A))  &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k9_funct_2(A, B), B), k9_funct_2(k2_xboole_0(A, k1_tarski(C)), B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, B), B), k9_funct_2(k2_xboole_0(A, k1_tarski(C)), B))))) )  =>  ~ ( (v3_funct_2(D, k2_zfmisc_1(k9_funct_2(A, B), B), k9_funct_2(k2_xboole_0(A, k1_tarski(C)), B)) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_xboole_0(A, k1_tarski(C)), B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(A, k1_tarski(C)), B)))) )  =>  (k2_partfun1(k2_xboole_0(A, k1_tarski(C)), B, F, A)=E => k1_binop_1(D, E, k1_funct_1(F, C))=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, C, A, B) & m2_finseq_1(D, k3_finseq_2(C))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, C, A, B) & m2_finseq_1(E, k3_finseq_2(C))) )  =>  (! [F] :  (v7_ordinal1(F) =>  (r1_xxreal_0(F, A) =>  (r1_xxreal_0(A, k5_numbers) |  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_finseq_1(F), k2_finseq_1(A)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(F), k2_finseq_1(A))))) )  =>  (? [H] :  ( (v1_matrix_0(H) &  (v2_matrix_0(H, C, A, B) & m2_finseq_1(H, k3_finseq_2(C))) )  &  (H=k1_funct_4(D, k5_relat_1(k3_relat_1(k1_funct_4(k1_finseq_2(A), G), E), k2_finseq_1(F))) &  (! [I] :  (v7_ordinal1(I) =>  ( (r2_tarski(I, k2_finseq_1(F)) => k1_funct_1(H, I)=k1_funct_1(E, k1_funct_1(G, I)))  &  ( ~ (r2_tarski(I, k2_finseq_1(F)))  => k1_funct_1(H, I)=k1_funct_1(D, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_funct_2(k2_finseq_1(A), k2_finseq_1(A)), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_funct_2(k2_finseq_1(A), k2_finseq_1(A)), u1_struct_0(B))))) )  =>  ~ ( ( (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_finseq_1(A), k2_finseq_1(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(A))))) )  =>  (? [G] :  (m2_finseq_1(G, u1_struct_0(B)) &  (k3_finseq_1(G)=A &  ( (! [H] :  (v7_ordinal1(H) =>  (! [I] :  (v7_ordinal1(I) =>  ( (r2_tarski(I, k2_finseq_1(A)) & H=k1_funct_1(F, I))  => k1_funct_1(G, I)=k3_matrix_0(u1_struct_0(B), C, I, H)) ) ) ) )  & k1_funct_1(E, F)=k8_group_1(B, k1_finsop_1(u1_struct_0(B), G, u2_algstr_0(B)), k12_matrix_3(A, B, k4_matrix11(A, A, u1_struct_0(B), F, D)))) ) ) ) ) )  & k12_matrix_3(A, B, k4_matrix_3(B, C, D))=k7_setwiseo(k1_funct_2(k2_finseq_1(A), k2_finseq_1(A)), u1_struct_0(B), u1_algstr_0(B), k10_subset_1(k1_funct_2(k2_finseq_1(A), k2_finseq_1(A)), k5_finsub_1(k1_funct_2(k2_finseq_1(A), k2_finseq_1(A)))), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  ( (v4_vectsp_1(B) & v1_vectsp_2(B))  =>  (v6_struct_0(B) |  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k9_matrix_1(A), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k9_matrix_1(A), u1_struct_0(B))))) )  =>  ~ ( (k12_matrix_3(A, B, k4_matrix_3(B, C, D))=k7_setwiseo(k9_matrix_1(A), u1_struct_0(B), u1_algstr_0(B), k10_subset_1(k9_matrix_1(A), k5_finsub_1(k9_matrix_1(A))), E) &  (! [F] :  (m1_matrix_1(F, k9_matrix_1(A)) => k3_funct_2(k9_matrix_1(A), u1_struct_0(B), E, F)=k8_group_1(B, k1_finsop_1(u1_struct_0(B), k10_matrix_3(A, B, C, F), u2_algstr_0(B)), k11_matrix_1(B, A, k12_matrix_3(A, B, D), F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  ( (v4_vectsp_1(B) & v1_vectsp_2(B))  =>  (v6_struct_0(B) |  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k12_matrix_3(A, B, k4_matrix_3(B, C, D))=k8_group_1(B, k12_matrix_3(A, B, C), k12_matrix_3(A, B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_matrix11, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  & m1_subset_1(C, k9_matrix_1(k1_nat_1(A, 2)))) )  =>  (v1_funct_1(k1_matrix11(A, B, C)) &  (v1_funct_2(k1_matrix11(A, B, C), k2_sgraph1(k2_finseq_1(k1_nat_1(A, 2))), u1_struct_0(B)) & m1_subset_1(k1_matrix11(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A, 2))), u1_struct_0(B))))) ) ) ) ).
fof(dt_k2_matrix11, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  & m1_subset_1(C, k9_matrix_1(k1_nat_1(A, 2)))) )  => m1_subset_1(k2_matrix11(A, B, C), u1_struct_0(B))) ) ).
fof(dt_k3_matrix11, axiom,  (! [A, B, C, D, E, F] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  ( ~ (v1_xboole_0(D))  &  ( (v1_matrix_0(E) &  (v2_matrix_0(E, D, B, C) & m1_finseq_1(E, k3_finseq_2(D))) )  & m1_finseq_1(F, D)) ) ) ) )  =>  (v1_matrix_0(k3_matrix11(A, B, C, D, E, F)) &  (v2_matrix_0(k3_matrix11(A, B, C, D, E, F), D, B, C) & m2_finseq_1(k3_matrix11(A, B, C, D, E, F), k3_finseq_2(D))) ) ) ) ).
fof(dt_k4_matrix11, axiom,  (! [A, B, C, D, E] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( ~ (v1_xboole_0(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_finseq_1(A), k2_finseq_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(A))))) )  &  (v1_matrix_0(E) &  (v2_matrix_0(E, C, A, B) & m1_finseq_1(E, k3_finseq_2(C))) ) ) ) ) )  =>  (v1_matrix_0(k4_matrix11(A, B, C, D, E)) &  (v2_matrix_0(k4_matrix11(A, B, C, D, E), C, A, B) & m2_finseq_1(k4_matrix11(A, B, C, D, E), k3_finseq_2(C))) ) ) ) ).
fof(redefinition_k4_matrix11, axiom,  (! [A, B, C, D, E] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( ~ (v1_xboole_0(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_finseq_1(A), k2_finseq_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(A))))) )  &  (v1_matrix_0(E) &  (v2_matrix_0(E, C, A, B) & m1_finseq_1(E, k3_finseq_2(C))) ) ) ) ) )  => k4_matrix11(A, B, C, D, E)=k3_relat_1(D, E)) ) ).
fof(dt_k5_matrix11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (v1_funct_1(k5_matrix11(A)) &  (v1_funct_2(k5_matrix11(A), k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), k3_finseq_2(u1_struct_0(A))), k3_finseq_2(u1_struct_0(A))) & m1_subset_1(k5_matrix11(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), k3_finseq_2(u1_struct_0(A))), k3_finseq_2(u1_struct_0(A)))))) ) ) ) ).
fof(t7_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A, 2))))) =>  (! [D] :  (m1_matrix_1(D, k9_matrix_1(k1_nat_1(A, 2))) =>  (! [E] :  (m1_matrix_1(E, k9_matrix_1(k1_nat_1(A, 2))) =>  (! [F] :  (v1_finset_1(F) =>  (F=a_5_0_matrix11(A, B, C, D, E) =>  ( (k4_nat_d(k4_card_1(F), 2)=k5_numbers => k7_setwiseo(k2_sgraph1(k2_finseq_1(k1_nat_1(A, 2))), u1_struct_0(B), u2_algstr_0(B), C, k1_matrix11(A, B, D))=k7_setwiseo(k2_sgraph1(k2_finseq_1(k1_nat_1(A, 2))), u1_struct_0(B), u2_algstr_0(B), C, k1_matrix11(A, B, E)))  &  (k4_nat_d(k4_card_1(F), 2)=1 => k7_setwiseo(k2_sgraph1(k2_finseq_1(k1_nat_1(A, 2))), u1_struct_0(B), u2_algstr_0(B), C, k1_matrix11(A, B, D))=k4_algstr_0(B, k7_setwiseo(k2_sgraph1(k2_finseq_1(k1_nat_1(A, 2))), u1_struct_0(B), u2_algstr_0(B), C, k1_matrix11(A, B, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k9_matrix_1(A), k9_matrix_1(A)) &  (v3_funct_2(B, k9_matrix_1(A), k9_matrix_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_matrix_1(A), k9_matrix_1(A))))) ) )  =>  (! [C] :  (m1_matrix_1(C, k9_matrix_1(A)) =>  ( (! [D] :  (m1_matrix_1(D, k9_matrix_1(A)) => k3_funct_2(k9_matrix_1(A), k9_matrix_1(A), B, D)=k1_partfun1(k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), C, D)) )  =>  (v6_matrix_1(C, k8_matrix_1(k9_matrix_1(A))) | k7_relat_1(B, a_1_0_matrix11(A))=a_1_1_matrix11(A)) ) ) ) ) ) ) ) ).
fof(t48_matrix11, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( (r1_xxreal_0(2, A) &  (! [B] :  (v1_finset_1(B) =>  (! [C] :  (v1_finset_1(C) =>  ~ ( (C=a_1_0_matrix11(A) &  (B=a_1_1_matrix11(A) &  (k3_xboole_0(C, B)=k1_xboole_0 &  (k2_xboole_0(C, B)=k9_matrix_1(A) & k4_card_1(C)=k4_card_1(B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_matrix11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v1_finset_1(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v1_finset_1(C))  =>  (! [D] :  ( ~ (r2_hidden(D, B))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, A), A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  ( (v1_setwiseo(E, A) &  (v1_binop_1(E, A) & v2_binop_1(E, A)) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k9_funct_2(B, C), A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(B, C), A)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k9_funct_2(k2_xboole_0(B, k1_tarski(D)), C), A) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(k2_xboole_0(B, k1_tarski(D)), C), A)))) )  =>  ( (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, B, C) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  (! [I] :  (m1_subset_1(I, k5_finsub_1(k9_funct_2(k2_xboole_0(B, k1_tarski(D)), C))) =>  (I=a_4_0_matrix11(B, C, D, H) => k7_setwiseo(k9_funct_2(k2_xboole_0(B, k1_tarski(D)), C), A, E, I, G)=k1_funct_1(F, H)) ) ) ) )  => k7_setwiseo(k9_funct_2(B, C), A, E, k10_subset_1(k9_funct_2(B, C), k5_finsub_1(k9_funct_2(B, C))), F)=k7_setwiseo(k9_funct_2(k2_xboole_0(B, k1_tarski(D)), C), A, E, k10_subset_1(k9_funct_2(k2_xboole_0(B, k1_tarski(D)), C), k5_finsub_1(k9_funct_2(k2_xboole_0(B, k1_tarski(D)), C))), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_5_0_matrix11, axiom,  (! [A, B, C, D, E, F] :  ( (v7_ordinal1(B) &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  &  (m1_subset_1(D, k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(B, 2))))) &  (m1_matrix_1(E, k9_matrix_1(k1_nat_1(B, 2))) & m1_matrix_1(F, k9_matrix_1(k1_nat_1(B, 2)))) ) ) )  =>  (r2_hidden(A, a_5_0_matrix11(B, C, D, E, F)) <=>  (? [G] :  (m1_subset_1(G, k2_sgraph1(k2_finseq_1(k1_nat_1(B, 2)))) &  (A=G &  (r2_tarski(G, D) &  ~ (k3_funct_2(k2_sgraph1(k2_finseq_1(k1_nat_1(B, 2))), u1_struct_0(C), k1_matrix11(B, C, E), G)=k3_funct_2(k2_sgraph1(k2_finseq_1(k1_nat_1(B, 2))), u1_struct_0(C), k1_matrix11(B, C, F), G)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_matrix11, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_0_matrix11(B)) <=>  (? [C] :  (m1_matrix_1(C, k9_matrix_1(B)) &  (A=C & v6_matrix_1(C, k8_matrix_1(k9_matrix_1(B)))) ) ) ) ) ) ).
fof(fraenkel_a_1_1_matrix11, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_1_matrix11(B)) <=>  (? [C] :  (m1_matrix_1(C, k9_matrix_1(B)) &  (A=C &  ~ (v6_matrix_1(C, k8_matrix_1(k9_matrix_1(B)))) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_matrix11, axiom,  (! [A, B, C, D, E] :  ( (v1_finset_1(B) &  ( ( ~ (v1_xboole_0(C))  & v1_finset_1(C))  &  (v1_funct_1(E) &  (v1_funct_2(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C)))) ) ) )  =>  (r2_hidden(A, a_4_0_matrix11(B, C, D, E)) <=>  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_xboole_0(B, k1_tarski(D)), C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(B, k1_tarski(D)), C)))) )  &  (A=F & k2_partfun1(k2_xboole_0(B, k1_tarski(D)), C, F, B)=E) ) ) ) ) ) ).
fof(d1_matrix12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), A, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, u1_struct_0(C), A, B) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(C)))) )  =>  (G=k1_matrix12(A, B, C, D, E, F) <=>  (k3_finseq_1(G)=k3_finseq_1(D) &  (! [H] :  (v7_ordinal1(H) =>  (! [I] :  (v7_ordinal1(I) =>  ( (r2_tarski(H, k4_finseq_1(D)) & r2_tarski(I, k2_finseq_1(k1_matrix_0(D))))  =>  ( (H=E => k3_matrix_0(u1_struct_0(C), G, H, I)=k3_matrix_0(u1_struct_0(C), D, F, I))  &  ( (H=F => k3_matrix_0(u1_struct_0(C), G, H, I)=k3_matrix_0(u1_struct_0(C), D, E, I))  &  ~ ( ( ~ (H=E)  &  ( ~ (H=F)  &  ~ (k3_matrix_0(u1_struct_0(C), G, H, I)=k3_matrix_0(u1_struct_0(C), D, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_matrix12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), A, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(C), A, B) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(C)))) )  => k1_matrix_0(D)=k1_matrix_0(E)) ) ) ) ) ) ) ) ) ) ).
fof(t2_matrix12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v6_struct_0(E))  &  (v13_algstr_0(E) &  (v33_algstr_0(E) &  (v4_vectsp_1(E) &  (v5_vectsp_1(E) &  (v2_rlvect_1(E) &  (v3_rlvect_1(E) &  (v4_rlvect_1(E) &  (v3_group_1(E) &  (v5_group_1(E) & l6_algstr_0(E)) ) ) ) ) ) ) ) ) ) )  =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(E), C, D) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(E)))) )  =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, u1_struct_0(E), C, D) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(E)))) )  =>  (! [H] :  (v7_ordinal1(H) =>  ( (r2_tarski(B, k4_finseq_1(F)) &  (r2_tarski(A, k4_finseq_1(F)) &  (r2_tarski(H, k4_finseq_1(F)) & G=k1_matrix12(C, D, E, F, B, A)) ) )  =>  ( (H=B => k7_matrix_0(u1_struct_0(E), G, H)=k7_matrix_0(u1_struct_0(E), F, A))  &  ( (H=A => k7_matrix_0(u1_struct_0(E), G, H)=k7_matrix_0(u1_struct_0(E), F, B))  &  ~ ( ( ~ (H=B)  &  ( ~ (H=A)  &  ~ (k7_matrix_0(u1_struct_0(E), G, H)=k7_matrix_0(u1_struct_0(E), F, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_matrix12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, u1_struct_0(C), A, B) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(C)))) )  =>  ( (r2_tarski(E, k4_finseq_1(G)) & r2_tarski(F, k2_finseq_1(k1_matrix_0(G))))  => k1_funct_1(k10_fvsum_1(k1_matrix_0(G), C, k7_matrix_0(u1_struct_0(C), G, E), D), F)=k8_group_1(C, D, k3_matrix_0(u1_struct_0(C), G, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_matrix12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), A, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, u1_struct_0(C), A, B) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(C)))) )  =>  (G=k2_matrix12(A, B, C, D, E, F) <=>  (k3_finseq_1(G)=k3_finseq_1(D) &  (! [H] :  (v7_ordinal1(H) =>  (! [I] :  (v7_ordinal1(I) =>  ( (r2_tarski(H, k4_finseq_1(D)) & r2_tarski(I, k2_finseq_1(k1_matrix_0(D))))  =>  ( (H=E => k3_matrix_0(u1_struct_0(C), G, H, I)=k8_group_1(C, F, k3_matrix_0(u1_struct_0(C), D, E, I)))  &  ( ~ (H=E)  => k3_matrix_0(u1_struct_0(C), G, H, I)=k3_matrix_0(u1_struct_0(C), D, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_matrix12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v6_struct_0(E))  &  (v13_algstr_0(E) &  (v33_algstr_0(E) &  (v4_vectsp_1(E) &  (v5_vectsp_1(E) &  (v2_rlvect_1(E) &  (v3_rlvect_1(E) &  (v4_rlvect_1(E) &  (v3_group_1(E) &  (v5_group_1(E) & l6_algstr_0(E)) ) ) ) ) ) ) ) ) ) )  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(E)) =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, u1_struct_0(E), B, C) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(E)))) )  =>  (! [H] :  ( (v1_matrix_0(H) &  (v2_matrix_0(H, u1_struct_0(E), B, C) & m2_finseq_1(H, k3_finseq_2(u1_struct_0(E)))) )  =>  ( (r2_tarski(A, k4_finseq_1(G)) &  (r2_tarski(D, k4_finseq_1(G)) & H=k2_matrix12(B, C, E, G, A, F)) )  =>  ( (D=A => k7_matrix_0(u1_struct_0(E), H, D)=k10_fvsum_1(k1_matrix_0(G), E, k7_matrix_0(u1_struct_0(E), G, A), F))  &  ( ~ (D=A)  => k7_matrix_0(u1_struct_0(E), H, D)=k7_matrix_0(u1_struct_0(E), G, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_matrix12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), A, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(C)) =>  (r2_tarski(F, k4_finseq_1(D)) =>  (! [H] :  ( (v1_matrix_0(H) &  (v2_matrix_0(H, u1_struct_0(C), A, B) & m2_finseq_1(H, k3_finseq_2(u1_struct_0(C)))) )  =>  (H=k3_matrix12(A, B, C, D, E, F, G) <=>  (k3_finseq_1(H)=k3_finseq_1(D) &  (! [I] :  (v7_ordinal1(I) =>  (! [J] :  (v7_ordinal1(J) =>  ( (r2_tarski(I, k4_finseq_1(D)) & r2_tarski(J, k2_finseq_1(k1_matrix_0(D))))  =>  ( (I=E => k3_matrix_0(u1_struct_0(C), H, I, J)=k1_algstr_0(C, k8_group_1(C, G, k3_matrix_0(u1_struct_0(C), D, F, J)), k3_matrix_0(u1_struct_0(C), D, E, J)))  &  ( ~ (I=E)  => k3_matrix_0(u1_struct_0(C), H, I, J)=k3_matrix_0(u1_struct_0(C), D, I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_matrix12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  ( ~ (v6_struct_0(F))  &  (v13_algstr_0(F) &  (v33_algstr_0(F) &  (v4_vectsp_1(F) &  (v5_vectsp_1(F) &  (v2_rlvect_1(F) &  (v3_rlvect_1(F) &  (v4_rlvect_1(F) &  (v3_group_1(F) &  (v5_group_1(F) & l6_algstr_0(F)) ) ) ) ) ) ) ) ) ) )  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(F)) =>  (! [H] :  ( (v1_matrix_0(H) &  (v2_matrix_0(H, u1_struct_0(F), C, D) & m2_finseq_1(H, k3_finseq_2(u1_struct_0(F)))) )  =>  (! [I] :  ( (v1_matrix_0(I) &  (v2_matrix_0(I, u1_struct_0(F), C, D) & m2_finseq_1(I, k3_finseq_2(u1_struct_0(F)))) )  =>  ( (r2_tarski(B, k4_finseq_1(H)) &  (r2_tarski(A, k4_finseq_1(H)) &  (r2_tarski(E, k4_finseq_1(H)) & I=k3_matrix12(C, D, F, H, B, A, G)) ) )  =>  ( (E=B => k7_matrix_0(u1_struct_0(F), I, E)=k4_fvsum_1(k1_matrix_0(H), F, k10_fvsum_1(k1_matrix_0(H), F, k7_matrix_0(u1_struct_0(F), H, A), G), k7_matrix_0(u1_struct_0(F), H, B)))  &  ( ~ (E=B)  => k7_matrix_0(u1_struct_0(F), I, E)=k7_matrix_0(u1_struct_0(F), H, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_matrix12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v6_struct_0(D))  &  (v13_algstr_0(D) &  (v33_algstr_0(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v3_group_1(D) &  (v5_group_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(D), C, C) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(D)))) )  =>  ( (r2_tarski(B, k4_finseq_1(k3_matrix_1(D, C))) & r2_tarski(A, k4_finseq_1(k3_matrix_1(D, C))))  => k4_matrix_3(D, k1_matrix12(C, C, D, k3_matrix_1(D, C), B, A), E)=k1_matrix12(C, C, D, E, B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_matrix12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(B), A, A) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B)))) )  =>  (r2_tarski(C, k4_finseq_1(k3_matrix_1(B, A))) => k4_matrix_3(B, k2_matrix12(A, A, B, k3_matrix_1(B, A), C, D), E)=k2_matrix12(A, A, B, E, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_matrix12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v6_struct_0(D))  &  (v13_algstr_0(D) &  (v33_algstr_0(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v3_group_1(D) &  (v5_group_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(D)) =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(D), C, C) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(D)))) )  =>  ( (r2_tarski(B, k4_finseq_1(k3_matrix_1(D, C))) & r2_tarski(A, k4_finseq_1(k3_matrix_1(D, C))))  => k4_matrix_3(D, k3_matrix12(C, C, D, k3_matrix_1(D, C), B, A, E), F)=k3_matrix12(C, C, D, F, B, A, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_matrix12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v6_struct_0(D))  &  (v13_algstr_0(D) &  (v33_algstr_0(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v3_group_1(D) &  (v5_group_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(D), B, C) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(D)))) )  => k1_matrix12(B, C, D, E, A, A)=E) ) ) ) ) ) ) ) ) ) ).
fof(t10_matrix12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v6_struct_0(E))  &  (v13_algstr_0(E) &  (v33_algstr_0(E) &  (v4_vectsp_1(E) &  (v5_vectsp_1(E) &  (v2_rlvect_1(E) &  (v3_rlvect_1(E) &  (v4_rlvect_1(E) &  (v3_group_1(E) &  (v5_group_1(E) & l6_algstr_0(E)) ) ) ) ) ) ) ) ) ) )  =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(E), C, D) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(E)))) )  => k1_matrix12(C, D, E, F, B, A)=k1_matrix12(C, D, E, F, A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_matrix12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v6_struct_0(E))  &  (v13_algstr_0(E) &  (v33_algstr_0(E) &  (v4_vectsp_1(E) &  (v5_vectsp_1(E) &  (v2_rlvect_1(E) &  (v3_rlvect_1(E) &  (v4_rlvect_1(E) &  (v3_group_1(E) &  (v5_group_1(E) & l6_algstr_0(E)) ) ) ) ) ) ) ) ) ) )  =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(E), C, D) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(E)))) )  =>  ( (r2_tarski(B, k4_finseq_1(F)) & r2_tarski(A, k4_finseq_1(F)))  => k1_matrix12(C, D, E, k1_matrix12(C, D, E, F, B, A), B, A)=F) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_matrix12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v6_struct_0(D))  &  (v13_algstr_0(D) &  (v33_algstr_0(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v3_group_1(D) &  (v5_group_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) ) ) ) )  =>  ( (r2_tarski(B, k4_finseq_1(k3_matrix_1(D, C))) & r2_tarski(A, k4_finseq_1(k3_matrix_1(D, C))))  =>  (v1_matrix_6(k1_matrix12(C, C, D, k3_matrix_1(D, C), B, A), C, D) & k1_matrix_6(C, D, k1_matrix12(C, C, D, k3_matrix_1(D, C), B, A))=k1_matrix12(C, C, D, k3_matrix_1(D, C), B, A)) ) ) ) ) ) ) ) ) ) ).
fof(t13_matrix12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v6_struct_0(D))  &  (v13_algstr_0(D) &  (v33_algstr_0(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v3_group_1(D) &  (v5_group_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(D)) =>  ( (r2_tarski(B, k4_finseq_1(k3_matrix_1(D, C))) & r2_tarski(A, k4_finseq_1(k3_matrix_1(D, C))))  =>  (A=B |  (v1_matrix_6(k3_matrix12(C, C, D, k3_matrix_1(D, C), B, A, E), C, D) & k1_matrix_6(C, D, k3_matrix12(C, C, D, k3_matrix_1(D, C), B, A, E))=k3_matrix12(C, C, D, k3_matrix_1(D, C), B, A, k4_algstr_0(D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_matrix12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (r2_tarski(A, k4_finseq_1(k3_matrix_1(C, B))) =>  (D=k4_struct_0(C) |  (v1_matrix_6(k2_matrix12(B, B, C, k3_matrix_1(C, B), A, D), B, C) & k1_matrix_6(B, C, k2_matrix12(B, B, C, k3_matrix_1(C, B), A, D))=k2_matrix12(B, B, C, k3_matrix_1(C, B), A, k9_algstr_0(C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_matrix12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), A, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r2_tarski(E, k2_finseq_1(k1_matrix_0(D))) & r2_tarski(F, k2_finseq_1(k1_matrix_0(D))))  =>  (r1_xxreal_0(A, k5_numbers) |  (r1_xxreal_0(B, k5_numbers) |  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, u1_struct_0(C), A, B) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(C)))) )  =>  (G=k4_matrix12(A, B, C, D, E, F) <=>  (k3_finseq_1(G)=k3_finseq_1(D) &  (! [H] :  (v7_ordinal1(H) =>  (! [I] :  (v7_ordinal1(I) =>  ( (r2_tarski(H, k4_finseq_1(D)) & r2_tarski(I, k2_finseq_1(k1_matrix_0(D))))  =>  ( (I=E => k3_matrix_0(u1_struct_0(C), G, H, I)=k3_matrix_0(u1_struct_0(C), D, H, F))  &  ( (I=F => k3_matrix_0(u1_struct_0(C), G, H, I)=k3_matrix_0(u1_struct_0(C), D, H, E))  &  ~ ( ( ~ (I=E)  &  ( ~ (I=F)  &  ~ (k3_matrix_0(u1_struct_0(C), G, H, I)=k3_matrix_0(u1_struct_0(C), D, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_matrix12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), A, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  (r2_tarski(E, k2_finseq_1(k1_matrix_0(D))) =>  (r1_xxreal_0(A, k5_numbers) |  (r1_xxreal_0(B, k5_numbers) |  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, u1_struct_0(C), A, B) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(C)))) )  =>  (G=k5_matrix12(A, B, C, D, E, F) <=>  (k3_finseq_1(G)=k3_finseq_1(D) &  (! [H] :  (v7_ordinal1(H) =>  (! [I] :  (v7_ordinal1(I) =>  ( (r2_tarski(H, k4_finseq_1(D)) & r2_tarski(I, k2_finseq_1(k1_matrix_0(D))))  =>  ( (I=E => k3_matrix_0(u1_struct_0(C), G, H, I)=k8_group_1(C, F, k3_matrix_0(u1_struct_0(C), D, H, E)))  &  ( ~ (I=E)  => k3_matrix_0(u1_struct_0(C), G, H, I)=k3_matrix_0(u1_struct_0(C), D, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_matrix12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), A, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(C)) =>  ( (r2_tarski(E, k2_finseq_1(k1_matrix_0(D))) & r2_tarski(F, k2_finseq_1(k1_matrix_0(D))))  =>  (r1_xxreal_0(A, k5_numbers) |  (r1_xxreal_0(B, k5_numbers) |  (! [H] :  ( (v1_matrix_0(H) &  (v2_matrix_0(H, u1_struct_0(C), A, B) & m2_finseq_1(H, k3_finseq_2(u1_struct_0(C)))) )  =>  (H=k6_matrix12(A, B, C, D, E, F, G) <=>  (k3_finseq_1(H)=k3_finseq_1(D) &  (! [I] :  (v7_ordinal1(I) =>  (! [J] :  (v7_ordinal1(J) =>  ( (r2_tarski(I, k4_finseq_1(D)) & r2_tarski(J, k2_finseq_1(k1_matrix_0(D))))  =>  ( (J=E => k3_matrix_0(u1_struct_0(C), H, I, J)=k1_algstr_0(C, k8_group_1(C, G, k3_matrix_0(u1_struct_0(C), D, I, F)), k3_matrix_0(u1_struct_0(C), D, I, E)))  &  ( ~ (J=E)  => k3_matrix_0(u1_struct_0(C), H, I, J)=k3_matrix_0(u1_struct_0(C), D, I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_matrix12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v6_struct_0(E))  &  (v13_algstr_0(E) &  (v33_algstr_0(E) &  (v4_vectsp_1(E) &  (v5_vectsp_1(E) &  (v2_rlvect_1(E) &  (v3_rlvect_1(E) &  (v4_rlvect_1(E) &  (v3_group_1(E) &  (v5_group_1(E) & l6_algstr_0(E)) ) ) ) ) ) ) ) ) ) )  =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(E), C, D) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(E)))) )  =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, u1_struct_0(E), C, D) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(E)))) )  =>  ( (r2_tarski(B, k2_finseq_1(k1_matrix_0(F))) &  (r2_tarski(A, k2_finseq_1(k1_matrix_0(F))) & G=k4_matrix_0(u1_struct_0(E), F)) )  =>  (r1_xxreal_0(C, k5_numbers) |  (r1_xxreal_0(D, k5_numbers) | k4_matrix_0(u1_struct_0(E), k1_matrix12(C, D, E, G, B, A))=k4_matrix12(C, D, E, F, B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_matrix12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v6_struct_0(D))  &  (v13_algstr_0(D) &  (v33_algstr_0(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v3_group_1(D) &  (v5_group_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(D)) =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(D), B, C) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(D)))) )  =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, u1_struct_0(D), B, C) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(D)))) )  =>  ( (r2_tarski(A, k2_finseq_1(k1_matrix_0(F))) & G=k4_matrix_0(u1_struct_0(D), F))  =>  (r1_xxreal_0(B, k5_numbers) |  (r1_xxreal_0(C, k5_numbers) | k4_matrix_0(u1_struct_0(D), k2_matrix12(B, C, D, G, A, E))=k5_matrix12(B, C, D, F, A, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_matrix12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v6_struct_0(E))  &  (v13_algstr_0(E) &  (v33_algstr_0(E) &  (v4_vectsp_1(E) &  (v5_vectsp_1(E) &  (v2_rlvect_1(E) &  (v3_rlvect_1(E) &  (v4_rlvect_1(E) &  (v3_group_1(E) &  (v5_group_1(E) & l6_algstr_0(E)) ) ) ) ) ) ) ) ) ) )  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(E)) =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, u1_struct_0(E), C, D) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(E)))) )  =>  (! [H] :  ( (v1_matrix_0(H) &  (v2_matrix_0(H, u1_struct_0(E), C, D) & m2_finseq_1(H, k3_finseq_2(u1_struct_0(E)))) )  =>  ( (r2_tarski(B, k2_finseq_1(k1_matrix_0(G))) &  (r2_tarski(A, k2_finseq_1(k1_matrix_0(G))) & H=k4_matrix_0(u1_struct_0(E), G)) )  =>  (r1_xxreal_0(C, k5_numbers) |  (r1_xxreal_0(D, k5_numbers) | k4_matrix_0(u1_struct_0(E), k3_matrix12(C, D, E, H, B, A, F))=k6_matrix12(C, D, E, G, B, A, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_matrix12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v6_struct_0(D))  &  (v13_algstr_0(D) &  (v33_algstr_0(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v3_group_1(D) &  (v5_group_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(D), C, C) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(D)))) )  =>  ( (r2_tarski(B, k4_finseq_1(k3_matrix_1(D, C))) & r2_tarski(A, k4_finseq_1(k3_matrix_1(D, C))))  =>  (r1_xxreal_0(C, k5_numbers) | k4_matrix_3(D, E, k4_matrix12(C, C, D, k3_matrix_1(D, C), B, A))=k4_matrix12(C, C, D, E, B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_matrix12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(C), B, B) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(C)))) )  =>  (r2_tarski(A, k4_finseq_1(k3_matrix_1(C, B))) =>  (r1_xxreal_0(B, k5_numbers) | k4_matrix_3(C, E, k5_matrix12(B, B, C, k3_matrix_1(C, B), A, D))=k5_matrix12(B, B, C, E, A, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_matrix12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v6_struct_0(D))  &  (v13_algstr_0(D) &  (v33_algstr_0(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v3_group_1(D) &  (v5_group_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(D)) =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(D), C, C) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(D)))) )  =>  ( (r2_tarski(B, k4_finseq_1(k3_matrix_1(D, C))) & r2_tarski(A, k4_finseq_1(k3_matrix_1(D, C))))  =>  (r1_xxreal_0(C, k5_numbers) | k4_matrix_3(D, F, k6_matrix12(C, C, D, k3_matrix_1(D, C), B, A, E))=k6_matrix12(C, C, D, F, B, A, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_matrix12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v6_struct_0(D))  &  (v13_algstr_0(D) &  (v33_algstr_0(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v3_group_1(D) &  (v5_group_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) ) ) ) )  =>  ( (r2_tarski(B, k4_finseq_1(k3_matrix_1(D, C))) & r2_tarski(A, k4_finseq_1(k3_matrix_1(D, C))))  =>  (r1_xxreal_0(C, k5_numbers) | k1_matrix_6(C, D, k4_matrix12(C, C, D, k3_matrix_1(D, C), B, A))=k4_matrix12(C, C, D, k3_matrix_1(D, C), B, A)) ) ) ) ) ) ) ) ) ) ).
fof(t22_matrix12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v6_struct_0(D))  &  (v13_algstr_0(D) &  (v33_algstr_0(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v3_group_1(D) &  (v5_group_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(D)) =>  ( (r2_tarski(B, k4_finseq_1(k3_matrix_1(D, C))) & r2_tarski(A, k4_finseq_1(k3_matrix_1(D, C))))  =>  (A=B |  (r1_xxreal_0(C, k5_numbers) | k1_matrix_6(C, D, k6_matrix12(C, C, D, k3_matrix_1(D, C), B, A, E))=k6_matrix12(C, C, D, k3_matrix_1(D, C), B, A, k4_algstr_0(D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_matrix12, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (r2_tarski(A, k4_finseq_1(k3_matrix_1(C, B))) =>  (D=k4_struct_0(C) |  (r1_xxreal_0(B, k5_numbers) | k1_matrix_6(B, C, k5_matrix12(B, B, C, k3_matrix_1(C, B), A, D))=k5_matrix12(B, B, C, k3_matrix_1(C, B), A, k9_algstr_0(C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_matrix12, axiom,  (! [A, B, C, D, E, F] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), A, B) & m1_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  &  (v7_ordinal1(E) & v7_ordinal1(F)) ) ) ) )  =>  (v1_matrix_0(k1_matrix12(A, B, C, D, E, F)) &  (v2_matrix_0(k1_matrix12(A, B, C, D, E, F), u1_struct_0(C), A, B) & m2_finseq_1(k1_matrix12(A, B, C, D, E, F), k3_finseq_2(u1_struct_0(C)))) ) ) ) ).
fof(dt_k2_matrix12, axiom,  (! [A, B, C, D, E, F] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), A, B) & m1_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  &  (v7_ordinal1(E) & m1_subset_1(F, u1_struct_0(C))) ) ) ) )  =>  (v1_matrix_0(k2_matrix12(A, B, C, D, E, F)) &  (v2_matrix_0(k2_matrix12(A, B, C, D, E, F), u1_struct_0(C), A, B) & m2_finseq_1(k2_matrix12(A, B, C, D, E, F), k3_finseq_2(u1_struct_0(C)))) ) ) ) ).
fof(dt_k3_matrix12, axiom,  (! [A, B, C, D, E, F, G] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), A, B) & m1_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  &  (v7_ordinal1(E) &  (v7_ordinal1(F) & m1_subset_1(G, u1_struct_0(C))) ) ) ) ) )  =>  (v1_matrix_0(k3_matrix12(A, B, C, D, E, F, G)) &  (v2_matrix_0(k3_matrix12(A, B, C, D, E, F, G), u1_struct_0(C), A, B) & m2_finseq_1(k3_matrix12(A, B, C, D, E, F, G), k3_finseq_2(u1_struct_0(C)))) ) ) ) ).
fof(dt_k4_matrix12, axiom,  (! [A, B, C, D, E, F] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), A, B) & m1_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  &  (v7_ordinal1(E) & v7_ordinal1(F)) ) ) ) )  =>  (v1_matrix_0(k4_matrix12(A, B, C, D, E, F)) &  (v2_matrix_0(k4_matrix12(A, B, C, D, E, F), u1_struct_0(C), A, B) & m2_finseq_1(k4_matrix12(A, B, C, D, E, F), k3_finseq_2(u1_struct_0(C)))) ) ) ) ).
fof(dt_k5_matrix12, axiom,  (! [A, B, C, D, E, F] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), A, B) & m1_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  &  (v7_ordinal1(E) & m1_subset_1(F, u1_struct_0(C))) ) ) ) )  =>  (v1_matrix_0(k5_matrix12(A, B, C, D, E, F)) &  (v2_matrix_0(k5_matrix12(A, B, C, D, E, F), u1_struct_0(C), A, B) & m2_finseq_1(k5_matrix12(A, B, C, D, E, F), k3_finseq_2(u1_struct_0(C)))) ) ) ) ).
fof(dt_k6_matrix12, axiom,  (! [A, B, C, D, E, F, G] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), A, B) & m1_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  &  (v7_ordinal1(E) &  (v7_ordinal1(F) & m1_subset_1(G, u1_struct_0(C))) ) ) ) ) )  =>  (v1_matrix_0(k6_matrix12(A, B, C, D, E, F, G)) &  (v2_matrix_0(k6_matrix12(A, B, C, D, E, F, G), u1_struct_0(C), A, B) & m2_finseq_1(k6_matrix12(A, B, C, D, E, F, G), k3_finseq_2(u1_struct_0(C)))) ) ) ) ).
fof(rc1_matrix13, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k4_ordinal1)) &  (v1_xboole_0(A) &  (v1_finset_1(A) & v1_setfam_1(A)) ) ) ) ).
fof(rc2_matrix13, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k4_ordinal1)) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v1_setfam_1(A)) ) ) ) ).
fof(fc1_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) => v1_setfam_1(k1_finseq_1(A))) ) ).
fof(fc2_matrix13, axiom,  (! [A, B] :  (v1_setfam_1(A) => v1_setfam_1(k4_xboole_0(A, B))) ) ).
fof(rc3_matrix13, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_finseq_1(B, k3_finseq_2(u1_struct_0(A))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k3_finseq_2(u1_struct_0(A))) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) &  (v1_funcop_1(B) &  (v2_funcop_1(B) &  (v1_matrix_0(B) & v1_matrix_1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc3_matrix13, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  & v7_ordinal1(B))  =>  (v13_algstr_0(k6_prvect_1(A, B)) &  (v7_vectsp_1(k6_prvect_1(A, B), A) &  (v2_rlvect_1(k6_prvect_1(A, B)) &  (v3_rlvect_1(k6_prvect_1(A, B)) & v4_rlvect_1(k6_prvect_1(A, B))) ) ) ) ) ) ).
fof(cc1_matrix13, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  & v7_ordinal1(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k6_prvect_1(A, B))) =>  (v1_relat_1(C) & v1_funct_1(C)) ) ) ) ) ).
fof(fc4_matrix13, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  & v7_ordinal1(B))  =>  (v7_vectsp_1(k6_prvect_1(A, B), A) & v1_matrlin(k6_prvect_1(A, B), A)) ) ) ).
fof(t1_matrix13, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, A, C, B) & m2_finseq_1(D, k3_finseq_2(A))) )  =>  ( (C=k5_numbers => B=k5_numbers)  <=>  (k3_finseq_1(D)=C & k1_matrix_0(D)=B) ) ) ) ) ) ) ) ) ) ).
fof(t2_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) &  (v3_matrix_1(C, A, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) ) )  <=>  (v1_matrix_0(k4_matrix_0(u1_struct_0(B), C)) &  (v2_matrix_0(k4_matrix_0(u1_struct_0(B), C), u1_struct_0(B), A, A) &  (v2_matrix_1(k4_matrix_0(u1_struct_0(B), C), A, B) & m2_finseq_1(k4_matrix_0(u1_struct_0(B), C), k3_finseq_2(u1_struct_0(B)))) ) ) ) ) ) ) ) ) ) ).
fof(t3_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  => k13_matrix_3(A, B, C)=k13_matrix_3(A, B, k4_matrix_0(u1_struct_0(B), C))) ) ) ) ) ) ).
fof(t4_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_matrix_1(B, k9_matrix_1(A)) =>  ( ~ (B=k1_finseq_2(A))  =>  ( (? [C] :  (v7_ordinal1(C) &  (r2_tarski(C, k2_finseq_1(A)) &  ~ (r1_xxreal_0(k1_funct_1(B, C), C)) ) ) )  &  (? [C] :  (v7_ordinal1(C) &  (r2_tarski(C, k2_finseq_1(A)) &  ~ (r1_xxreal_0(C, k1_funct_1(B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t5_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  (m1_matrix_1(D, k9_matrix_1(A)) =>  ~ ( ( ~ (D=k1_finseq_2(A))  &  ( ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) &  (v3_matrix_1(C, A, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) ) )  |  (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) &  (v2_matrix_1(C, A, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) ) ) )  &  ~ (k3_funct_2(k9_matrix_1(A), u1_struct_0(B), k11_matrix_3(A, B, C), D)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  (m1_matrix_1(D, k9_matrix_1(A)) =>  (D=k1_finseq_2(A) => k13_matrix_3(A, B, C)=k10_matrix_3(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t7_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) &  (v2_matrix_1(C, A, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) ) )  => k12_matrix_3(A, B, C)=k1_finsop_1(u1_struct_0(B), k13_matrix_3(A, B, C), u2_algstr_0(B))) ) ) ) ) ) ).
fof(t8_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) &  (v3_matrix_1(C, A, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) ) )  => k12_matrix_3(A, B, C)=k1_finsop_1(u1_struct_0(B), k13_matrix_3(A, B, C), u2_algstr_0(B))) ) ) ) ) ) ).
fof(t10_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) => k1_card_1(k2_sgraph1(k2_finseq_1(A)))=k4_newton(2, A)) ) ).
fof(t11_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_matrix_1(B, k9_matrix_1(A)) =>  (B=k3_finseq_5(k1_finseq_2(A)) =>  (v6_matrix_1(B, k8_matrix_1(k9_matrix_1(A))) <=> k4_nat_d(k4_newton(2, A), 2)=k5_numbers) ) ) ) ) ) ).
fof(t12_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_finseq_1(A), k2_finseq_1(A)) &  (v3_funct_2(D, k2_finseq_1(A), k2_finseq_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(A))))) ) )  =>  ( (D=k3_finseq_5(k1_finseq_2(A)) &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r2_tarski(E, k2_finseq_1(A)) &  (r2_tarski(F, k2_finseq_1(A)) & r1_xxreal_0(k2_xcmplx_0(E, F), A)) )  => k3_matrix_0(u1_struct_0(B), C, E, F)=k4_struct_0(B)) ) ) ) ) )  =>  (v1_matrix_0(k4_matrix11(A, A, u1_struct_0(B), D, C)) &  (v2_matrix_0(k4_matrix11(A, A, u1_struct_0(B), D, C), u1_struct_0(B), A, A) &  (v2_matrix_1(k4_matrix11(A, A, u1_struct_0(B), D, C), A, B) & m2_finseq_1(k4_matrix11(A, A, u1_struct_0(B), D, C), k3_finseq_2(u1_struct_0(B)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_finseq_1(A), k2_finseq_1(A)) &  (v3_funct_2(D, k2_finseq_1(A), k2_finseq_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(A))))) ) )  =>  ( (D=k3_finseq_5(k1_finseq_2(A)) &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r2_tarski(E, k2_finseq_1(A)) & r2_tarski(F, k2_finseq_1(A)))  =>  (r1_xxreal_0(k2_xcmplx_0(E, F), k1_nat_1(A, 1)) | k3_matrix_0(u1_struct_0(B), C, E, F)=k4_struct_0(B)) ) ) ) ) ) )  =>  (v1_matrix_0(k4_matrix11(A, A, u1_struct_0(B), D, C)) &  (v2_matrix_0(k4_matrix11(A, A, u1_struct_0(B), D, C), u1_struct_0(B), A, A) &  (v3_matrix_1(k4_matrix11(A, A, u1_struct_0(B), D, C), A, B) & m2_finseq_1(k4_matrix11(A, A, u1_struct_0(B), D, C), k3_finseq_2(u1_struct_0(B)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  (m1_matrix_1(D, k9_matrix_1(A)) =>  (D=k3_finseq_5(k1_finseq_2(A)) =>  ( ( (? [E] :  (v7_ordinal1(E) &  (? [F] :  (v7_ordinal1(F) &  (r2_tarski(E, k2_finseq_1(A)) &  (r2_tarski(F, k2_finseq_1(A)) &  (r1_xxreal_0(k2_xcmplx_0(E, F), A) &  ~ (k3_matrix_0(u1_struct_0(B), C, E, F)=k4_struct_0(B)) ) ) ) ) ) ) )  &  (? [E] :  (v7_ordinal1(E) &  (? [F] :  (v7_ordinal1(F) &  (r2_tarski(E, k2_finseq_1(A)) &  (r2_tarski(F, k2_finseq_1(A)) &  ( ~ (r1_xxreal_0(k2_xcmplx_0(E, F), k1_nat_1(A, 1)))  &  ~ (k3_matrix_0(u1_struct_0(B), C, E, F)=k4_struct_0(B)) ) ) ) ) ) ) ) )  | k12_matrix_3(A, B, C)=k11_matrix_1(B, A, k1_finsop_1(u1_struct_0(B), k10_matrix_3(A, B, C, D), u2_algstr_0(B)), D)) ) ) ) ) ) ) ) ) ) ).
fof(t15_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) &  (v2_matrix_1(D, A, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) ) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(B), A, A) &  (v2_matrix_1(E, A, B) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B)))) ) )  =>  (C=k4_matrix_3(B, D, E) =>  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) &  (v2_matrix_1(C, A, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) ) )  & k13_matrix_3(A, B, C)=k11_fvsum_1(B, k13_matrix_3(A, B, D), k13_matrix_3(A, B, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) &  (v3_matrix_1(D, A, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) ) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(B), A, A) &  (v3_matrix_1(E, A, B) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B)))) ) )  =>  (C=k4_matrix_3(B, D, E) =>  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) &  (v3_matrix_1(C, A, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) ) )  & k13_matrix_3(A, B, C)=k11_fvsum_1(B, k13_matrix_3(A, B, D), k13_matrix_3(A, B, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_matrix13, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m2_finseq_2(E, k4_ordinal1, k4_finseq_2(C, k4_ordinal1)) =>  (! [F] :  (m2_finseq_2(F, k4_ordinal1, k4_finseq_2(D, k4_ordinal1)) =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, A, C, D) & m2_finseq_1(G, k3_finseq_2(A))) )  =>  (G=k1_matrix13(A, B, C, D, E, F) <=>  (! [H] :  (v7_ordinal1(H) =>  (! [I] :  (v7_ordinal1(I) =>  (r2_hidden(k4_tarski(H, I), k2_matrix_0(G)) => k3_matrix_0(A, G, H, I)=k3_matrix_0(A, B, k1_funct_1(E, H), k1_funct_1(F, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_matrix13, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( (v1_matrix_0(F) & m2_finseq_1(F, k3_finseq_2(A)))  =>  (! [G] :  (m2_finseq_2(G, k4_ordinal1, k4_finseq_2(E, k4_ordinal1)) =>  (! [H] :  (m2_finseq_2(H, k4_ordinal1, k4_finseq_2(D, k4_ordinal1)) =>  (r1_tarski(k2_zfmisc_1(k10_xtuple_0(G), k10_xtuple_0(H)), k2_matrix_0(F)) =>  (r2_hidden(k4_tarski(B, C), k2_matrix_0(k1_matrix13(A, F, E, D, G, H))) <=> r2_hidden(k4_tarski(k1_funct_1(G, B), k1_funct_1(H, C)), k2_matrix_0(F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_matrix13, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(A)))  =>  (! [E] :  (m2_finseq_2(E, k4_ordinal1, k4_finseq_2(C, k4_ordinal1)) =>  (! [F] :  (m2_finseq_2(F, k4_ordinal1, k4_finseq_2(B, k4_ordinal1)) =>  ~ ( (r1_tarski(k2_zfmisc_1(k10_xtuple_0(E), k10_xtuple_0(F)), k2_matrix_0(D)) &  ( (C=k5_numbers => B=k5_numbers)  &  ( (B=k5_numbers => C=k5_numbers)  &  ~ (k4_matrix_0(A, k1_matrix13(A, D, C, B, E, F))=k1_matrix13(A, k4_matrix_0(A, D), B, C, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_matrix13, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(A)))  =>  (! [E] :  (m2_finseq_2(E, k4_ordinal1, k4_finseq_2(C, k4_ordinal1)) =>  (! [F] :  (m2_finseq_2(F, k4_ordinal1, k4_finseq_2(B, k4_ordinal1)) =>  (r1_tarski(k2_zfmisc_1(k10_xtuple_0(E), k10_xtuple_0(F)), k2_matrix_0(D)) =>  ( (B=k5_numbers &  ~ (C=k5_numbers) )  | k1_matrix13(A, D, C, B, E, F)=k4_matrix_0(A, k1_matrix13(A, k4_matrix_0(A, D), B, C, F, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_matrix13, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, A, 1, 1) & m2_finseq_1(B, k3_finseq_2(A))) )  => B=k2_matrlin(A, k13_matrix_0(A, k3_matrix_0(A, B, 1, 1)))) ) ) ) ).
fof(t21_matrix13, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(A)))  =>  (! [E] :  (m2_finseq_2(E, k4_ordinal1, k4_finseq_2(C, k4_ordinal1)) =>  (! [F] :  (m2_finseq_2(F, k4_ordinal1, k4_finseq_2(B, k4_ordinal1)) =>  ( (C=1 & B=1)  => k1_matrix13(A, D, C, B, E, F)=k2_matrlin(A, k13_matrix_0(A, k3_matrix_0(A, D, k1_funct_1(E, 1), k1_funct_1(F, 1))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_matrix13, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, A, 2, 2) & m2_finseq_1(B, k3_finseq_2(A))) )  => B=k15_matrix_0(A, k3_matrix_0(A, B, 1, 1), k3_matrix_0(A, B, 1, 2), k3_matrix_0(A, B, 2, 1), k3_matrix_0(A, B, 2, 2))) ) ) ) ).
fof(t23_matrix13, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(A)))  =>  (! [E] :  (m2_finseq_2(E, k4_ordinal1, k4_finseq_2(C, k4_ordinal1)) =>  (! [F] :  (m2_finseq_2(F, k4_ordinal1, k4_finseq_2(B, k4_ordinal1)) =>  ( (C=2 & B=2)  => k1_matrix13(A, D, C, B, E, F)=k15_matrix_0(A, k3_matrix_0(A, D, k1_funct_1(E, 1), k1_funct_1(F, 1)), k3_matrix_0(A, D, k1_funct_1(E, 1), k1_funct_1(F, 2)), k3_matrix_0(A, D, k1_funct_1(E, 2), k1_funct_1(F, 1)), k3_matrix_0(A, D, k1_funct_1(E, 2), k1_funct_1(F, 2)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_matrix13, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_matrix_0(E) & m2_finseq_1(E, k3_finseq_2(A)))  =>  (! [F] :  (m2_finseq_2(F, k4_ordinal1, k4_finseq_2(D, k4_ordinal1)) =>  (! [G] :  (m2_finseq_2(G, k4_ordinal1, k4_finseq_2(C, k4_ordinal1)) =>  ( (r2_tarski(B, k2_finseq_1(D)) & r1_tarski(k10_xtuple_0(G), k2_finseq_1(k1_matrix_0(E))))  => k7_matrix_0(A, k1_matrix13(A, E, D, C, F, G), B)=k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, A, G, k7_matrix_0(A, E, k1_funct_1(F, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_matrix13, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( (v1_matrix_0(F) & m2_finseq_1(F, k3_finseq_2(A)))  =>  (! [G] :  (m2_finseq_2(G, k4_ordinal1, k4_finseq_2(E, k4_ordinal1)) =>  (! [H] :  (m2_finseq_2(H, k4_ordinal1, k4_finseq_2(D, k4_ordinal1)) =>  ( (r2_tarski(B, k2_finseq_1(E)) &  (r2_tarski(C, k2_finseq_1(E)) & k1_funct_1(G, B)=k1_funct_1(G, C)) )  => k7_matrix_0(A, k1_matrix13(A, F, E, D, G, H), B)=k7_matrix_0(A, k1_matrix13(A, F, E, D, G, H), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v6_struct_0(D))  &  (v13_algstr_0(D) &  (v33_algstr_0(D) &  (v3_group_1(D) &  (v5_group_1(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  (m2_finseq_2(E, k4_ordinal1, k4_finseq_2(C, k4_ordinal1)) =>  (! [F] :  (m2_finseq_2(F, k4_ordinal1, k4_finseq_2(C, k4_ordinal1)) =>  (! [G] :  ( (v1_matrix_0(G) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(D))))  =>  ( (r2_tarski(A, k2_finseq_1(C)) &  (r2_tarski(B, k2_finseq_1(C)) & k1_funct_1(E, A)=k1_funct_1(E, B)) )  =>  (A=B | k12_matrix_3(C, D, k1_matrix13(u1_struct_0(D), G, C, C, E, F))=k4_struct_0(D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_finseq_2(C, k4_ordinal1, k4_finseq_2(A, k4_ordinal1)) =>  (! [D] :  (m2_finseq_2(D, k4_ordinal1, k4_finseq_2(A, k4_ordinal1)) =>  (! [E] :  ( (v1_matrix_0(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B))))  =>  ( ~ (v2_funct_1(C))  => k12_matrix_3(A, B, k1_matrix13(u1_struct_0(B), E, A, A, C, D))=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_matrix13, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_matrix_0(E) & m2_finseq_1(E, k3_finseq_2(A)))  =>  (! [F] :  (m2_finseq_2(F, k4_ordinal1, k4_finseq_2(D, k4_ordinal1)) =>  (! [G] :  (m2_finseq_2(G, k4_ordinal1, k4_finseq_2(C, k4_ordinal1)) =>  ( (r2_tarski(B, k2_finseq_1(C)) & r1_tarski(k10_xtuple_0(F), k2_finseq_1(k3_finseq_1(E))))  => k8_matrix_0(A, k1_matrix13(A, E, D, C, F, G), B)=k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, A, F, k8_matrix_0(A, E, k1_funct_1(G, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_matrix13, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( (v1_matrix_0(F) & m2_finseq_1(F, k3_finseq_2(A)))  =>  (! [G] :  (m2_finseq_2(G, k4_ordinal1, k4_finseq_2(E, k4_ordinal1)) =>  (! [H] :  (m2_finseq_2(H, k4_ordinal1, k4_finseq_2(D, k4_ordinal1)) =>  ( (r2_tarski(B, k2_finseq_1(D)) &  (r2_tarski(C, k2_finseq_1(D)) & k1_funct_1(H, B)=k1_funct_1(H, C)) )  => k8_matrix_0(A, k1_matrix13(A, F, E, D, G, H), B)=k8_matrix_0(A, k1_matrix13(A, F, E, D, G, H), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v6_struct_0(D))  &  (v13_algstr_0(D) &  (v33_algstr_0(D) &  (v3_group_1(D) &  (v5_group_1(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  (m2_finseq_2(E, k4_ordinal1, k4_finseq_2(C, k4_ordinal1)) =>  (! [F] :  (m2_finseq_2(F, k4_ordinal1, k4_finseq_2(C, k4_ordinal1)) =>  (! [G] :  ( (v1_matrix_0(G) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(D))))  =>  ( (r2_tarski(A, k2_finseq_1(C)) &  (r2_tarski(B, k2_finseq_1(C)) & k1_funct_1(E, A)=k1_funct_1(E, B)) )  =>  (A=B | k12_matrix_3(C, D, k1_matrix13(u1_struct_0(D), G, C, C, F, E))=k4_struct_0(D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_finseq_2(C, k4_ordinal1, k4_finseq_2(A, k4_ordinal1)) =>  (! [D] :  (m2_finseq_2(D, k4_ordinal1, k4_finseq_2(A, k4_ordinal1)) =>  (! [E] :  ( (v1_matrix_0(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B))))  =>  ( ~ (v2_funct_1(C))  => k12_matrix_3(A, B, k1_matrix13(u1_struct_0(B), E, A, A, D, C))=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k4_ordinal1, k4_finseq_2(A, k4_ordinal1)) =>  (! [C] :  (m2_finseq_2(C, k4_ordinal1, k4_finseq_2(A, k4_ordinal1)) =>  ~ ( (v2_funct_1(B) &  (v2_funct_1(C) &  (k10_xtuple_0(B)=k10_xtuple_0(C) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_finseq_1(A), k2_finseq_1(A)) &  (v3_funct_2(D, k2_finseq_1(A), k2_finseq_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(A))))) ) )  =>  ~ (C=k1_partfun1(k2_finseq_1(A), k2_finseq_1(A), k4_ordinal1, k4_ordinal1, D, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_matrix13, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(A)))  =>  (! [E] :  (m2_finseq_2(E, k4_ordinal1, k4_finseq_2(C, k4_ordinal1)) =>  (! [F] :  (m2_finseq_2(F, k4_ordinal1, k4_finseq_2(C, k4_ordinal1)) =>  (! [G] :  (m2_finseq_2(G, k4_ordinal1, k4_finseq_2(B, k4_ordinal1)) =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k2_finseq_1(C), k2_finseq_1(C)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(C), k2_finseq_1(C))))) )  =>  (F=k1_partfun1(k2_finseq_1(C), k2_finseq_1(C), k4_ordinal1, k4_ordinal1, H, E) => k1_matrix13(A, D, C, B, F, G)=k4_matrix11(C, B, A, H, k1_matrix13(A, D, C, B, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_matrix13, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(A)))  =>  (! [E] :  (m2_finseq_2(E, k4_ordinal1, k4_finseq_2(C, k4_ordinal1)) =>  (! [F] :  (m2_finseq_2(F, k4_ordinal1, k4_finseq_2(B, k4_ordinal1)) =>  (! [G] :  (m2_finseq_2(G, k4_ordinal1, k4_finseq_2(B, k4_ordinal1)) =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k2_finseq_1(B), k2_finseq_1(B)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(B), k2_finseq_1(B))))) )  =>  (G=k1_partfun1(k2_finseq_1(B), k2_finseq_1(B), k4_ordinal1, k4_ordinal1, H, F) => k4_matrix_0(A, k1_matrix13(A, D, C, B, E, G))=k1_partfun1(k2_finseq_1(B), k2_finseq_1(B), k4_ordinal1, k3_finseq_2(A), H, k4_matrix_0(A, k1_matrix13(A, D, C, B, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_finseq_2(C, k4_ordinal1, k4_finseq_2(A, k4_ordinal1)) =>  (! [D] :  (m2_finseq_2(D, k4_ordinal1, k4_finseq_2(A, k4_ordinal1)) =>  (! [E] :  (m2_finseq_2(E, k4_ordinal1, k4_finseq_2(A, k4_ordinal1)) =>  (! [F] :  ( (v1_matrix_0(F) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(B))))  =>  (! [G] :  (m1_matrix_1(G, k9_matrix_1(A)) =>  (D=k1_partfun1(k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k4_ordinal1, k4_ordinal1, G, E) =>  (k12_matrix_3(A, B, k1_matrix13(u1_struct_0(B), F, A, A, D, C))=k11_matrix_1(B, A, k12_matrix_3(A, B, k1_matrix13(u1_struct_0(B), F, A, A, E, C)), G) & k12_matrix_3(A, B, k1_matrix13(u1_struct_0(B), F, A, A, C, D))=k11_matrix_1(B, A, k12_matrix_3(A, B, k1_matrix13(u1_struct_0(B), F, A, A, C, E)), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B))))  =>  (! [D] :  (m2_finseq_2(D, k4_ordinal1, k4_finseq_2(A, k4_ordinal1)) =>  (! [E] :  (m2_finseq_2(E, k4_ordinal1, k4_finseq_2(A, k4_ordinal1)) =>  (! [F] :  (m2_finseq_2(F, k4_ordinal1, k4_finseq_2(A, k4_ordinal1)) =>  (! [G] :  (m2_finseq_2(G, k4_ordinal1, k4_finseq_2(A, k4_ordinal1)) =>  ~ ( (k10_xtuple_0(D)=k10_xtuple_0(F) &  (k10_xtuple_0(E)=k10_xtuple_0(G) &  ( ~ (k12_matrix_3(A, B, k1_matrix13(u1_struct_0(B), C, A, A, D, E))=k12_matrix_3(A, B, k1_matrix13(u1_struct_0(B), C, A, A, F, G)))  &  ~ (k12_matrix_3(A, B, k1_matrix13(u1_struct_0(B), C, A, A, D, E))=k4_algstr_0(B, k12_matrix_3(A, B, k1_matrix13(u1_struct_0(B), C, A, A, F, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_matrix13, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, A, E, D) & m2_finseq_1(F, k3_finseq_2(A))) )  =>  (! [G] :  (m2_finseq_1(G, A) =>  (! [H] :  (m2_finseq_1(H, A) =>  (! [I] :  (m2_finseq_2(I, k4_ordinal1, k4_finseq_2(C, k4_ordinal1)) =>  (! [J] :  (m2_finseq_2(J, k4_ordinal1, k4_finseq_2(B, k4_ordinal1)) =>  ( (k3_finseq_1(G)=k1_matrix_0(F) &  (H=k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, A, J, G) & r1_tarski(k2_zfmisc_1(k10_xtuple_0(I), k10_xtuple_0(J)), k2_matrix_0(F))) )  =>  (! [K] :  (v7_ordinal1(K) =>  (! [L] :  (v7_ordinal1(L) =>  (k8_relat_1(I, k1_tarski(L))=k1_tarski(K) => k3_matrix11(K, C, B, A, k1_matrix13(A, F, C, B, I, J), H)=k1_matrix13(A, k3_matrix11(L, E, D, A, F, G), C, B, I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_matrix13, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, A, E, D) & m2_finseq_1(F, k3_finseq_2(A))) )  =>  (! [G] :  (m2_finseq_2(G, k4_ordinal1, k4_finseq_2(B, k4_ordinal1)) =>  (! [H] :  (m2_finseq_1(H, A) =>  (! [I] :  (v7_ordinal1(I) =>  (! [J] :  (m2_finseq_2(J, k4_ordinal1, k4_finseq_2(C, k4_ordinal1)) =>  (r1_tarski(k2_zfmisc_1(k10_xtuple_0(J), k10_xtuple_0(G)), k2_matrix_0(F)) =>  (r2_tarski(I, k10_xtuple_0(J)) | k1_matrix13(A, F, C, B, J, G)=k1_matrix13(A, k3_matrix11(I, E, D, A, F, H), C, B, J, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_matrix13, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  ( (v1_matrix_0(H) &  (v2_matrix_0(H, A, G, F) & m2_finseq_1(H, k3_finseq_2(A))) )  =>  (! [I] :  (m2_finseq_2(I, k4_ordinal1, k4_finseq_2(E, k4_ordinal1)) =>  (! [J] :  (m2_finseq_2(J, k4_ordinal1, k4_finseq_2(D, k4_ordinal1)) =>  ~ ( (r2_tarski(B, k10_xtuple_0(I)) &  (r1_tarski(k2_zfmisc_1(k10_xtuple_0(I), k10_xtuple_0(J)), k2_matrix_0(H)) &  (! [K] :  (m2_finseq_2(K, k4_ordinal1, k4_finseq_2(E, k4_ordinal1)) =>  ~ ( (k10_xtuple_0(K)=k2_xboole_0(k6_subset_1(k10_xtuple_0(I), k1_tarski(B)), k1_tarski(C)) & k1_matrix13(A, k3_matrix11(B, G, F, A, H, k7_matrix_0(A, H, C)), E, D, I, J)=k1_matrix13(A, H, E, D, K, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_matrix13, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, A, D, C) & m2_finseq_1(E, k3_finseq_2(A))) )  =>  (! [F] :  (m2_finseq_1(F, A) =>  ( ~ (r2_tarski(B, k2_finseq_1(k3_finseq_1(E))))  => k3_matrix11(B, D, C, A, E, F)=E) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m2_finseq_2(E, k4_ordinal1, k4_finseq_2(B, k4_ordinal1)) =>  (! [F] :  (m2_finseq_2(F, k4_ordinal1, k4_finseq_2(A, k4_ordinal1)) =>  (! [G] :  ( (v1_matrix_0(G) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(C))))  =>  (r1_tarski(k2_zfmisc_1(k10_xtuple_0(E), k10_xtuple_0(F)), k2_matrix_0(G)) => k2_matrix13(B, A, C, k1_matrix13(u1_struct_0(C), G, B, A, E, F), D)=k1_matrix13(u1_struct_0(C), k6_matrix_3(C, G, D), B, A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_matrix13, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(A)))  =>  (! [E] :  (m2_finseq_2(E, k4_ordinal1, k4_finseq_2(C, k4_ordinal1)) =>  (! [F] :  (m2_finseq_2(F, k4_ordinal1, k4_finseq_2(B, k4_ordinal1)) =>  ( (E=k1_finseq_2(k3_finseq_1(D)) & F=k1_finseq_2(k1_matrix_0(D)))  => k1_matrix13(A, D, C, B, E, F)=D) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_matrix13, axiom,  (! [A] :  ( (v1_finset_1(A) &  (v1_setfam_1(A) & m1_subset_1(A, k1_zfmisc_1(k4_ordinal1))) )  =>  (? [B] :  (v7_ordinal1(B) & r1_tarski(A, k2_finseq_1(B))) ) ) ) ).
fof(d2_matrix13, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  ( (v1_finset_1(C) &  (v1_setfam_1(C) & m1_subset_1(C, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [D] :  ( (v1_finset_1(D) &  (v1_setfam_1(D) & m1_subset_1(D, k1_zfmisc_1(k4_ordinal1))) )  => k6_matrix13(A, B, C, D)=k1_matrix13(A, B, k4_card_1(C), k4_card_1(D), k5_matrix13(C), k5_matrix13(D))) ) ) ) ) ) ) ) ).
fof(t44_matrix13, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(A)))  => k6_matrix13(A, D, k3_matrix13(B), k3_matrix13(C))=k2_matrlin(A, k13_matrix_0(A, k3_matrix_0(A, D, B, C)))) ) ) ) ) ) ) ) ).
fof(t45_matrix13, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (! [D] :  ( (v7_ordinal1(D) &  ~ (v8_ordinal1(D)) )  =>  (! [E] :  ( (v7_ordinal1(E) &  ~ (v8_ordinal1(E)) )  =>  (! [F] :  ( (v1_matrix_0(F) & m2_finseq_1(F, k3_finseq_2(A)))  =>  ~ ( ( ~ (r1_xxreal_0(C, B))  &  ( ~ (r1_xxreal_0(E, D))  &  ~ (k6_matrix13(A, F, k4_matrix13(B, C), k4_matrix13(D, E))=k15_matrix_0(A, k3_matrix_0(A, F, B, D), k3_matrix_0(A, F, B, E), k3_matrix_0(A, F, C, D), k3_matrix_0(A, F, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_matrix13, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  => k6_matrix13(A, B, k2_finseq_1(k3_finseq_1(B)), k2_finseq_1(k1_matrix_0(B)))=B) ) ) ) ).
fof(t47_matrix13, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(A)))  =>  (! [D] :  ( (v1_finset_1(D) &  (v1_setfam_1(D) & m1_subset_1(D, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [E] :  ( (v1_finset_1(E) &  (v1_setfam_1(E) & m1_subset_1(E, k1_zfmisc_1(k4_ordinal1))) )  =>  ( (r2_tarski(B, k2_finseq_1(k4_card_1(D))) & r1_tarski(E, k2_finseq_1(k1_matrix_0(C))))  => k7_matrix_0(A, k6_matrix13(A, C, D, E), B)=k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, A, k5_matrix13(E), k7_matrix_0(A, C, k1_funct_1(k5_matrix13(D), B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_matrix13, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(A)))  =>  (! [D] :  ( (v1_finset_1(D) &  (v1_setfam_1(D) & m1_subset_1(D, k1_zfmisc_1(k4_ordinal1))) )  =>  (r2_tarski(B, k2_finseq_1(k4_card_1(D))) => k7_matrix_0(A, k6_matrix13(A, C, D, k2_finseq_1(k1_matrix_0(C))), B)=k7_matrix_0(A, C, k1_funct_1(k5_matrix13(D), B))) ) ) ) ) ) ) ) ) ).
fof(t49_matrix13, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(A)))  =>  (! [D] :  ( (v1_finset_1(D) &  (v1_setfam_1(D) & m1_subset_1(D, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [E] :  ( (v1_finset_1(E) &  (v1_setfam_1(E) & m1_subset_1(E, k1_zfmisc_1(k4_ordinal1))) )  =>  ( (r2_tarski(B, k2_finseq_1(k4_card_1(E))) & r1_tarski(D, k2_finseq_1(k3_finseq_1(C))))  => k8_matrix_0(A, k6_matrix13(A, C, D, E), B)=k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, A, k5_matrix13(D), k8_matrix_0(A, C, k1_funct_1(k5_matrix13(E), B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_matrix13, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(A)))  =>  (! [D] :  ( (v1_finset_1(D) &  (v1_setfam_1(D) & m1_subset_1(D, k1_zfmisc_1(k4_ordinal1))) )  =>  (r2_tarski(B, k2_finseq_1(k4_card_1(D))) => k8_matrix_0(A, k6_matrix13(A, C, k2_finseq_1(k3_finseq_1(C)), D), B)=k8_matrix_0(A, C, k1_funct_1(k5_matrix13(D), B))) ) ) ) ) ) ) ) ) ).
fof(t51_matrix13, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(A)))  => k6_matrix13(A, C, k7_subset_1(k4_ordinal1, k2_finseq_1(k3_finseq_1(C)), k3_matrix13(B)), k2_finseq_1(k1_matrix_0(C)))=k1_matrlin(A, B, C)) ) ) ) ) ) ).
fof(t52_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B))))  => k6_matrix13(u1_struct_0(B), C, k2_finseq_1(k3_finseq_1(C)), k7_subset_1(k4_ordinal1, k2_finseq_1(k1_matrix_0(C)), k3_matrix13(A)))=k16_matrix_0(A, u1_struct_0(B), C)) ) ) ) ) ) ).
fof(t53_matrix13, axiom,  (! [A] :  (! [B] :  ( (v1_finset_1(B) &  (v1_setfam_1(B) & m1_subset_1(B, k1_zfmisc_1(k4_ordinal1))) )  =>  (v1_finset_1(k8_relat_1(k5_matrix13(B), A)) &  (v1_setfam_1(k8_relat_1(k5_matrix13(B), A)) & m1_subset_1(k8_relat_1(k5_matrix13(B), A), k1_zfmisc_1(k4_ordinal1))) ) ) ) ) ).
fof(t54_matrix13, axiom,  (! [A] :  (! [B] :  ( (v1_finset_1(B) &  (v1_setfam_1(B) & m1_subset_1(B, k1_zfmisc_1(k4_ordinal1))) )  =>  (r1_tarski(A, B) => k14_finseq_1(A)=k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k4_ordinal1, k14_finseq_1(k8_relat_1(k5_matrix13(B), A)), k5_matrix13(B))) ) ) ) ).
fof(t55_matrix13, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(C)))  =>  (! [E] :  ( (v1_finset_1(E) &  (v1_setfam_1(E) & m1_subset_1(E, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [F] :  ( (v1_finset_1(F) &  (v1_setfam_1(F) & m1_subset_1(F, k1_zfmisc_1(k4_ordinal1))) )  => r1_tarski(k2_zfmisc_1(k8_relat_1(k5_matrix13(E), A), k8_relat_1(k5_matrix13(F), B)), k2_matrix_0(k6_matrix13(C, D, E, F)))) ) ) ) ) ) ) ) ) ) ).
fof(t56_matrix13, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  ( (v1_finset_1(C) &  (v1_setfam_1(C) & m1_subset_1(C, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [D] :  ( (v1_finset_1(D) &  (v1_setfam_1(D) & m1_subset_1(D, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [E] :  ( (v1_finset_1(E) &  (v1_setfam_1(E) & m1_subset_1(E, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [F] :  ( (v1_finset_1(F) &  (v1_setfam_1(F) & m1_subset_1(F, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [G] :  ( (v1_finset_1(G) &  (v1_setfam_1(G) & m1_subset_1(G, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [H] :  ( (v1_finset_1(H) &  (v1_setfam_1(H) & m1_subset_1(H, k1_zfmisc_1(k4_ordinal1))) )  =>  ( (r1_tarski(C, D) &  (r1_tarski(F, G) &  (E=k8_relat_1(k5_matrix13(D), C) & H=k8_relat_1(k5_matrix13(G), F)) ) )  =>  (r1_tarski(k2_zfmisc_1(k10_xtuple_0(k5_matrix13(E)), k10_xtuple_0(k5_matrix13(H))), k2_matrix_0(k6_matrix13(A, B, D, G))) & k6_matrix13(A, k6_matrix13(A, B, D, G), E, H)=k6_matrix13(A, B, C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_matrix13, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  ( (v1_finset_1(C) &  (v1_setfam_1(C) & m1_subset_1(C, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [D] :  ( (v1_finset_1(D) &  (v1_setfam_1(D) & m1_subset_1(D, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [E] :  ( (v1_finset_1(E) &  (v1_setfam_1(E) & m1_subset_1(E, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [F] :  ( (v1_finset_1(F) &  (v1_setfam_1(F) & m1_subset_1(F, k1_zfmisc_1(k4_ordinal1))) )  =>  ~ ( ( (C=k1_xboole_0 => E=k1_xboole_0)  &  ( (E=k1_xboole_0 => C=k1_xboole_0)  &  (r1_tarski(k2_zfmisc_1(C, E), k2_matrix_0(k6_matrix13(A, B, D, F))) &  (! [G] :  ( (v1_finset_1(G) &  (v1_setfam_1(G) & m1_subset_1(G, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [H] :  ( (v1_finset_1(H) &  (v1_setfam_1(H) & m1_subset_1(H, k1_zfmisc_1(k4_ordinal1))) )  =>  ~ ( (r1_tarski(G, D) &  (r1_tarski(H, F) &  (G=k7_relat_1(k5_matrix13(D), C) &  (H=k7_relat_1(k5_matrix13(F), E) &  (k4_card_1(G)=k4_card_1(C) &  (k4_card_1(H)=k4_card_1(E) & k6_matrix13(A, k6_matrix13(A, B, D, F), C, E)=k6_matrix13(A, B, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v6_struct_0(D))  &  (v13_algstr_0(D) &  (v33_algstr_0(D) &  (v3_group_1(D) &  (v5_group_1(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(D), C, C) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(D)))) )  => k6_matrix13(u1_struct_0(D), E, k7_subset_1(k4_ordinal1, k2_finseq_1(C), k3_matrix13(A)), k7_subset_1(k4_ordinal1, k2_finseq_1(C), k3_matrix13(B)))=k18_matrix_0(A, B, C, u1_struct_0(D), E)) ) ) ) ) ) ) ) ) ) ).
fof(t59_matrix13, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, A, D, C) & m2_finseq_1(E, k3_finseq_2(A))) )  =>  (! [F] :  ( (v1_finset_1(F) &  (v1_setfam_1(F) & m1_subset_1(F, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [G] :  ( (v1_finset_1(G) &  (v1_setfam_1(G) & m1_subset_1(G, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [H] :  (m2_finseq_1(H, A) =>  (! [I] :  (m2_finseq_1(I, A) =>  ( (k3_finseq_1(H)=k1_matrix_0(E) &  (I=k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, A, k5_matrix13(G), H) & r1_tarski(k2_zfmisc_1(F, G), k2_matrix_0(E))) )  => k3_matrix11(B, k4_card_1(F), k4_card_1(G), A, k6_matrix13(A, E, F, G), I)=k6_matrix13(A, k3_matrix11(k1_funct_1(k5_matrix13(F), B), D, C, A, E, H), F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_matrix13, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, A, C, B) & m2_finseq_1(D, k3_finseq_2(A))) )  =>  (! [E] :  ( (v1_finset_1(E) &  (v1_setfam_1(E) & m1_subset_1(E, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [F] :  (m2_finseq_1(F, A) =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  ( (v1_finset_1(H) &  (v1_setfam_1(H) & m1_subset_1(H, k1_zfmisc_1(k4_ordinal1))) )  =>  (r1_tarski(k2_zfmisc_1(H, E), k2_matrix_0(D)) =>  (r2_tarski(G, H) | k6_matrix13(A, D, H, E)=k6_matrix13(A, k3_matrix11(G, C, B, A, D, F), H, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_matrix13, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  ( (v1_finset_1(C) &  (v1_setfam_1(C) & m1_subset_1(C, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [D] :  ( (v1_finset_1(D) &  (v1_setfam_1(D) & m1_subset_1(D, k1_zfmisc_1(k4_ordinal1))) )  =>  ~ ( (r1_tarski(k2_zfmisc_1(C, D), k2_matrix_0(B)) &  ( (k4_card_1(C)=k5_numbers => k4_card_1(D)=k5_numbers)  &  ( (k4_card_1(D)=k5_numbers => k4_card_1(C)=k5_numbers)  &  ~ (k4_matrix_0(A, k6_matrix13(A, B, C, D))=k6_matrix13(A, k4_matrix_0(A, B), D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_matrix13, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  ( (v1_finset_1(C) &  (v1_setfam_1(C) & m1_subset_1(C, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [D] :  ( (v1_finset_1(D) &  (v1_setfam_1(D) & m1_subset_1(D, k1_zfmisc_1(k4_ordinal1))) )  =>  (r1_tarski(k2_zfmisc_1(C, D), k2_matrix_0(B)) =>  ( (k4_card_1(D)=k5_numbers &  ~ (k4_card_1(C)=k5_numbers) )  | k6_matrix13(A, B, C, D)=k4_matrix_0(A, k6_matrix13(A, k4_matrix_0(A, B), D, C))) ) ) ) ) ) ) ) ) ) ).
fof(t63_matrix13, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_finset_1(D) &  (v1_setfam_1(D) & m1_subset_1(D, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [E] :  ( (v1_finset_1(E) &  (v1_setfam_1(E) & m1_subset_1(E, k1_zfmisc_1(k4_ordinal1))) )  =>  (r1_tarski(k2_zfmisc_1(D, E), k2_matrix_0(C)) => k2_matrix13(k4_card_1(D), k4_card_1(E), A, k6_matrix13(u1_struct_0(A), C, D, E), B)=k6_matrix13(u1_struct_0(A), k6_matrix_3(A, C, B), D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_matrix13, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  ( (v1_finset_1(C) &  (v1_setfam_1(C) & m1_subset_1(C, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [D] :  ( (v1_finset_1(D) &  (v1_setfam_1(D) & m1_subset_1(D, k1_zfmisc_1(k4_ordinal1))) )  =>  (k4_card_1(C)=k4_card_1(D) => k7_matrix13(A, B, C, D)=k6_matrix13(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t64_matrix13, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_finset_1(C) &  (v1_setfam_1(C) & m1_subset_1(C, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [D] :  ( (v1_finset_1(D) &  (v1_setfam_1(D) & m1_subset_1(D, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r2_tarski(E, k2_finseq_1(k4_card_1(C))) &  (r2_tarski(F, k2_finseq_1(k4_card_1(C))) & k4_card_1(C)=k4_card_1(D)) )  =>  (k2_laplace(E, F, k4_card_1(C), A, k7_matrix13(u1_struct_0(A), B, C, D))=k7_matrix13(u1_struct_0(A), B, k7_subset_1(k4_ordinal1, C, k3_matrix13(k1_funct_1(k5_matrix13(C), E))), k7_subset_1(k4_ordinal1, D, k3_matrix13(k1_funct_1(k5_matrix13(D), F)))) & k4_card_1(k7_subset_1(k4_ordinal1, C, k3_matrix13(k1_funct_1(k5_matrix13(C), E))))=k4_card_1(k7_subset_1(k4_ordinal1, D, k3_matrix13(k1_funct_1(k5_matrix13(D), F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_matrix13, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_finset_1(C) &  (v1_setfam_1(C) & m1_subset_1(C, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [D] :  ( (v1_finset_1(D) &  (v1_setfam_1(D) & m1_subset_1(D, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [E] :  ( (v1_finset_1(E) &  (v1_setfam_1(E) & m1_subset_1(E, k1_zfmisc_1(k4_ordinal1))) )  =>  ~ ( (k4_card_1(D)=k4_card_1(E) &  (r1_tarski(C, D) &  ( ~ (k12_matrix_3(k4_card_1(D), A, k7_matrix13(u1_struct_0(A), B, D, E))=k4_struct_0(A))  &  (! [F] :  ( (v1_finset_1(F) &  (v1_setfam_1(F) & m1_subset_1(F, k1_zfmisc_1(k4_ordinal1))) )  =>  ~ ( (r1_tarski(F, E) &  (k4_card_1(C)=k4_card_1(F) &  ~ (k12_matrix_3(k4_card_1(C), A, k7_matrix13(u1_struct_0(A), B, C, F))=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_matrix13, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_finset_1(C) &  (v1_setfam_1(C) & m1_subset_1(C, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [D] :  ( (v1_finset_1(D) &  (v1_setfam_1(D) & m1_subset_1(D, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [E] :  ( (v1_finset_1(E) &  (v1_setfam_1(E) & m1_subset_1(E, k1_zfmisc_1(k4_ordinal1))) )  =>  ~ ( (k4_card_1(C)=k4_card_1(E) &  (r1_tarski(D, E) &  ( ~ (k12_matrix_3(k4_card_1(C), A, k7_matrix13(u1_struct_0(A), B, C, E))=k4_struct_0(A))  &  (! [F] :  ( (v1_finset_1(F) &  (v1_setfam_1(F) & m1_subset_1(F, k1_zfmisc_1(k4_ordinal1))) )  =>  ~ ( (r1_tarski(F, C) &  (k4_card_1(F)=k4_card_1(D) &  ~ (k12_matrix_3(k4_card_1(F), A, k7_matrix13(u1_struct_0(A), B, F, D))=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_matrix13, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  ( (v1_finset_1(C) &  (v1_setfam_1(C) & m1_subset_1(C, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [D] :  ( (v1_finset_1(D) &  (v1_setfam_1(D) & m1_subset_1(D, k1_zfmisc_1(k4_ordinal1))) )  =>  (k4_card_1(C)=k4_card_1(D) =>  (r1_tarski(k2_zfmisc_1(C, D), k2_matrix_0(B)) <=>  (r1_tarski(C, k2_finseq_1(k3_finseq_1(B))) & r1_tarski(D, k2_finseq_1(k1_matrix_0(B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), B, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  =>  (! [E] :  ( (v1_finset_1(E) &  (v1_setfam_1(E) & m1_subset_1(E, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [F] :  ( (v1_finset_1(F) &  (v1_setfam_1(F) & m1_subset_1(F, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  ( (v7_ordinal1(H) &  ~ (v8_ordinal1(H)) )  =>  ( (r2_tarski(H, k2_finseq_1(B)) &  (r2_tarski(G, E) &  (k4_card_1(E)=k4_card_1(F) & r1_tarski(k2_zfmisc_1(E, F), k2_matrix_0(D))) ) )  =>  (r2_tarski(H, E) |  (k4_card_1(E)=k4_card_1(k4_subset_1(k4_ordinal1, k7_subset_1(k4_ordinal1, E, k3_matrix13(G)), k3_matrix13(H))) &  (r1_tarski(k2_zfmisc_1(k4_subset_1(k4_ordinal1, k7_subset_1(k4_ordinal1, E, k3_matrix13(G)), k3_matrix13(H)), F), k2_matrix_0(D)) &  (k12_matrix_3(k4_card_1(E), C, k7_matrix13(u1_struct_0(C), k3_matrix11(G, B, A, u1_struct_0(C), D, k7_matrix_0(u1_struct_0(C), D, H)), E, F))=k12_matrix_3(k4_card_1(k4_subset_1(k4_ordinal1, k7_subset_1(k4_ordinal1, E, k3_matrix13(G)), k3_matrix13(H))), C, k7_matrix13(u1_struct_0(C), D, k4_subset_1(k4_ordinal1, k7_subset_1(k4_ordinal1, E, k3_matrix13(G)), k3_matrix13(H)), F)) | k12_matrix_3(k4_card_1(E), C, k7_matrix13(u1_struct_0(C), k3_matrix11(G, B, A, u1_struct_0(C), D, k7_matrix_0(u1_struct_0(C), D, H)), E, F))=k4_algstr_0(C, k12_matrix_3(k4_card_1(k4_subset_1(k4_ordinal1, k7_subset_1(k4_ordinal1, E, k3_matrix13(G)), k3_matrix13(H))), C, k7_matrix13(u1_struct_0(C), D, k4_subset_1(k4_ordinal1, k7_subset_1(k4_ordinal1, E, k3_matrix13(G)), k3_matrix13(H)), F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t69_matrix13, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  ( (v1_finset_1(C) &  (v1_setfam_1(C) & m1_subset_1(C, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [D] :  ( (v1_finset_1(D) &  (v1_setfam_1(D) & m1_subset_1(D, k1_zfmisc_1(k4_ordinal1))) )  =>  (k4_card_1(C)=k4_card_1(D) =>  (r1_tarski(k2_zfmisc_1(C, D), k2_matrix_0(B)) <=> r1_tarski(k2_zfmisc_1(D, C), k2_matrix_0(k4_matrix_0(A, B)))) ) ) ) ) ) ) ) ) ) ).
fof(t70_matrix13, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_finset_1(C) &  (v1_setfam_1(C) & m1_subset_1(C, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [D] :  ( (v1_finset_1(D) &  (v1_setfam_1(D) & m1_subset_1(D, k1_zfmisc_1(k4_ordinal1))) )  =>  ( (r1_tarski(k2_zfmisc_1(C, D), k2_matrix_0(B)) & k4_card_1(C)=k4_card_1(D))  => k12_matrix_3(k4_card_1(C), A, k7_matrix13(u1_struct_0(A), B, C, D))=k12_matrix_3(k4_card_1(D), A, k7_matrix13(u1_struct_0(A), k4_matrix_0(u1_struct_0(A), B), D, C))) ) ) ) ) ) ) ) ) ).
fof(t71_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  => k12_matrix_3(A, B, k2_matrix13(A, A, B, D, C))=k8_group_1(B, k1_laplace(B, k4_group_1(B), C, A), k12_matrix_3(A, B, D))) ) ) ) ) ) ) ) ).
fof(t72_matrix13, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_finset_1(D) &  (v1_setfam_1(D) & m1_subset_1(D, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [E] :  ( (v1_finset_1(E) &  (v1_setfam_1(E) & m1_subset_1(E, k1_zfmisc_1(k4_ordinal1))) )  =>  ( (r1_tarski(k2_zfmisc_1(D, E), k2_matrix_0(C)) & k4_card_1(D)=k4_card_1(E))  => k12_matrix_3(k4_card_1(D), A, k7_matrix13(u1_struct_0(A), k6_matrix_3(A, C, B), D, E))=k8_group_1(A, k1_laplace(A, k4_group_1(A), B, k4_card_1(D)), k12_matrix_3(k4_card_1(D), A, k7_matrix13(u1_struct_0(A), C, D, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_matrix13, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (C=k8_matrix13(A, B) <=>  ( (? [D] :  ( (v1_finset_1(D) &  (v1_setfam_1(D) & m1_subset_1(D, k1_zfmisc_1(k4_ordinal1))) )  &  (? [E] :  ( (v1_finset_1(E) &  (v1_setfam_1(E) & m1_subset_1(E, k1_zfmisc_1(k4_ordinal1))) )  &  (r1_tarski(k2_zfmisc_1(D, E), k2_matrix_0(B)) &  (k4_card_1(D)=k4_card_1(E) &  (k4_card_1(D)=C &  ~ (k12_matrix_3(k4_card_1(D), A, k7_matrix13(u1_struct_0(A), B, D, E))=k4_struct_0(A)) ) ) ) ) ) ) )  &  (! [D] :  ( (v1_finset_1(D) &  (v1_setfam_1(D) & m1_subset_1(D, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [E] :  ( (v1_finset_1(E) &  (v1_setfam_1(E) & m1_subset_1(E, k1_zfmisc_1(k4_ordinal1))) )  =>  ( (r1_tarski(k2_zfmisc_1(D, E), k2_matrix_0(B)) & k4_card_1(D)=k4_card_1(E))  =>  (k12_matrix_3(k4_card_1(D), A, k7_matrix13(u1_struct_0(A), B, D, E))=k4_struct_0(A) | r1_xxreal_0(k4_card_1(D), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t73_matrix13, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_finset_1(C) &  (v1_setfam_1(C) & m1_subset_1(C, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [D] :  ( (v1_finset_1(D) &  (v1_setfam_1(D) & m1_subset_1(D, k1_zfmisc_1(k4_ordinal1))) )  =>  ( (r1_tarski(k2_zfmisc_1(C, D), k2_matrix_0(B)) & k4_card_1(C)=k4_card_1(D))  =>  (r1_xxreal_0(k4_card_1(C), k3_finseq_1(B)) & r1_xxreal_0(k4_card_1(D), k1_matrix_0(B))) ) ) ) ) ) ) ) ) ) ).
fof(t74_matrix13, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (r1_xxreal_0(k8_matrix13(A, B), k3_finseq_1(B)) & r1_xxreal_0(k8_matrix13(A, B), k1_matrix_0(B))) ) ) ) ) ).
fof(t75_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_finseq_2(C, k4_ordinal1, k4_finseq_2(A, k4_ordinal1)) =>  (! [D] :  (m2_finseq_2(D, k4_ordinal1, k4_finseq_2(A, k4_ordinal1)) =>  (! [E] :  ( (v1_matrix_0(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B))))  =>  ~ ( (r1_tarski(k2_zfmisc_1(k10_xtuple_0(C), k10_xtuple_0(D)), k2_matrix_0(E)) &  ( ~ (k12_matrix_3(A, B, k1_matrix13(u1_struct_0(B), E, A, A, C, D))=k4_struct_0(B))  &  (! [F] :  ( (v1_finset_1(F) &  (v1_setfam_1(F) & m1_subset_1(F, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [G] :  ( (v1_finset_1(G) &  (v1_setfam_1(G) & m1_subset_1(G, k1_zfmisc_1(k4_ordinal1))) )  =>  ~ ( (F=k10_xtuple_0(C) &  (G=k10_xtuple_0(D) &  (k4_card_1(F)=k4_card_1(G) &  (k4_card_1(F)=A &  ~ (k12_matrix_3(k4_card_1(F), B, k7_matrix13(u1_struct_0(B), E, F, G))=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t76_matrix13, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (k8_matrix13(A, B)=C <=>  ( (? [D] :  (m2_finseq_2(D, k4_ordinal1, k4_finseq_2(C, k4_ordinal1)) &  (? [E] :  (m2_finseq_2(E, k4_ordinal1, k4_finseq_2(C, k4_ordinal1)) &  (r1_tarski(k2_zfmisc_1(k10_xtuple_0(D), k10_xtuple_0(E)), k2_matrix_0(B)) &  ~ (k12_matrix_3(C, A, k1_matrix13(u1_struct_0(A), B, C, C, D, E))=k4_struct_0(A)) ) ) ) ) )  &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m2_finseq_2(E, k4_ordinal1, k4_finseq_2(D, k4_ordinal1)) =>  (! [F] :  (m2_finseq_2(F, k4_ordinal1, k4_finseq_2(D, k4_ordinal1)) =>  (r1_tarski(k2_zfmisc_1(k10_xtuple_0(E), k10_xtuple_0(F)), k2_matrix_0(B)) =>  (k12_matrix_3(D, A, k1_matrix13(u1_struct_0(A), B, D, D, E, F))=k4_struct_0(A) | r1_xxreal_0(D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t77_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m2_finseq_2(D, k4_ordinal1, k4_finseq_2(B, k4_ordinal1)) =>  (! [E] :  (m2_finseq_2(E, k4_ordinal1, k4_finseq_2(A, k4_ordinal1)) =>  (! [F] :  ( (v1_matrix_0(F) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(C))))  =>  ( (B=k5_numbers | A=k5_numbers)  => k8_matrix13(C, k1_matrix13(u1_struct_0(C), F, B, A, D, E))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t78_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m2_finseq_2(D, k4_ordinal1, k4_finseq_2(B, k4_ordinal1)) =>  (! [E] :  (m2_finseq_2(E, k4_ordinal1, k4_finseq_2(A, k4_ordinal1)) =>  (! [F] :  ( (v1_matrix_0(F) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(C))))  =>  (r1_tarski(k2_zfmisc_1(k10_xtuple_0(D), k10_xtuple_0(E)), k2_matrix_0(F)) => r1_xxreal_0(k8_matrix13(C, k1_matrix13(u1_struct_0(C), F, B, A, D, E)), k8_matrix13(C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t79_matrix13, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_finset_1(C) &  (v1_setfam_1(C) & m1_subset_1(C, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [D] :  ( (v1_finset_1(D) &  (v1_setfam_1(D) & m1_subset_1(D, k1_zfmisc_1(k4_ordinal1))) )  =>  (r1_tarski(k2_zfmisc_1(C, D), k2_matrix_0(B)) => r1_xxreal_0(k8_matrix13(A, k6_matrix13(u1_struct_0(A), B, C, D)), k8_matrix13(A, B))) ) ) ) ) ) ) ) ) ).
fof(t80_matrix13, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_finset_1(C) &  (v1_setfam_1(C) & m1_subset_1(C, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [D] :  ( (v1_finset_1(D) &  (v1_setfam_1(D) & m1_subset_1(D, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [E] :  ( (v1_finset_1(E) &  (v1_setfam_1(E) & m1_subset_1(E, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [F] :  ( (v1_finset_1(F) &  (v1_setfam_1(F) & m1_subset_1(F, k1_zfmisc_1(k4_ordinal1))) )  =>  ( (r1_tarski(C, D) & r1_tarski(E, F))  => r1_xxreal_0(k8_matrix13(A, k6_matrix13(u1_struct_0(A), B, C, E)), k8_matrix13(A, k6_matrix13(u1_struct_0(A), B, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t81_matrix13, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ~ ( (r1_tarski(k10_xtuple_0(A), k10_xtuple_0(B)) &  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ~ ( (k9_xtuple_0(C)=k9_xtuple_0(A) &  (r1_tarski(k10_xtuple_0(C), k9_xtuple_0(B)) & A=k3_relat_1(C, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t82_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m2_finseq_2(D, k4_ordinal1, k4_finseq_2(B, k4_ordinal1)) =>  (! [E] :  (m2_finseq_2(E, k4_ordinal1, k4_finseq_2(A, k4_ordinal1)) =>  (! [F] :  ( (v1_matrix_0(F) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(C))))  =>  (k2_zfmisc_1(k10_xtuple_0(D), k10_xtuple_0(E))=k2_matrix_0(F) => k8_matrix13(C, F)=k8_matrix13(C, k1_matrix13(u1_struct_0(C), F, B, A, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t83_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (k8_matrix13(B, C)=A <=>  ~ (k12_matrix_3(A, B, C)=k4_struct_0(B)) ) ) ) ) ) ) ) ).
fof(t84_matrix13, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  => k8_matrix13(A, B)=k8_matrix13(A, k4_matrix_0(u1_struct_0(A), B))) ) ) ) ).
fof(t85_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), B, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_finseq_1(B), k2_finseq_1(B)) &  (v3_funct_2(E, k2_finseq_1(B), k2_finseq_1(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(B), k2_finseq_1(B))))) ) )  => k8_matrix13(C, D)=k8_matrix13(C, k4_matrix11(B, A, u1_struct_0(C), E, D))) ) ) ) ) ) ) ) ) ) ).
fof(t86_matrix13, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  ( ~ (B=k4_struct_0(A))  => k8_matrix13(A, C)=k8_matrix13(A, k6_matrix_3(A, C, B))) ) ) ) ) ) ) ).
fof(t87_matrix13, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  ( (D=k3_relat_1(E, C) & r1_tarski(k10_xtuple_0(E), k4_finseq_1(C)))  => k3_relat_1(E, k9_fvsum_1(A, C, B))=k9_fvsum_1(A, D, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t88_matrix13, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(A)) =>  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  ( (C=k3_relat_1(F, B) &  (r1_tarski(k10_xtuple_0(F), k4_finseq_1(B)) &  (E=k3_relat_1(F, D) & r1_tarski(k10_xtuple_0(F), k4_finseq_1(D))) ) )  => k3_relat_1(F, k3_fvsum_1(A, B, D))=k3_fvsum_1(A, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t89_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v6_struct_0(D))  &  (v13_algstr_0(D) &  (v33_algstr_0(D) &  (v3_group_1(D) &  (v5_group_1(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(D)) =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(D), C, B) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(D)))) )  =>  ( ~ (E=k4_struct_0(D))  => k8_matrix13(D, F)=k8_matrix13(D, k3_matrix11(A, C, B, u1_struct_0(D), F, k10_fvsum_1(k1_matrix_0(F), D, k7_matrix_0(u1_struct_0(D), F, A), E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t90_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B))))  =>  (k7_matrix_0(u1_struct_0(B), C, A)=k5_finseq_2(u1_struct_0(B), k1_matrix_0(C), k4_struct_0(B)) => k8_matrix13(B, k17_matrix_0(u1_struct_0(B), A, C))=k8_matrix13(B, C)) ) ) ) ) ) ) ).
fof(t91_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v6_struct_0(D))  &  (v13_algstr_0(D) &  (v33_algstr_0(D) &  (v3_group_1(D) &  (v5_group_1(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(D), C, B) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(D)))) )  =>  (! [F] :  (m2_finseq_1(F, u1_struct_0(D)) =>  (k3_finseq_1(F)=k1_matrix_0(E) => k8_matrix13(D, k17_matrix_0(u1_struct_0(D), A, E))=k8_matrix13(D, k3_matrix11(A, C, B, u1_struct_0(D), E, k9_fvsum_1(D, F, k4_struct_0(D))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t92_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v6_struct_0(E))  &  (v13_algstr_0(E) &  (v33_algstr_0(E) &  (v3_group_1(E) &  (v5_group_1(E) &  (v4_vectsp_1(E) &  (v5_vectsp_1(E) &  (v2_rlvect_1(E) &  (v3_rlvect_1(E) &  (v4_rlvect_1(E) & l6_algstr_0(E)) ) ) ) ) ) ) ) ) ) )  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(E)) =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, u1_struct_0(E), D, C) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(E)))) )  =>  (r2_tarski(B, k2_finseq_1(k3_finseq_1(G))) =>  ( (A=B & F=k4_algstr_0(E, k1_group_1(E)))  | k8_matrix13(E, G)=k8_matrix13(E, k3_matrix11(A, D, C, u1_struct_0(E), G, k4_fvsum_1(k1_matrix_0(G), E, k7_matrix_0(u1_struct_0(E), G, A), k10_fvsum_1(k1_matrix_0(G), E, k7_matrix_0(u1_struct_0(E), G, B), F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t93_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v6_struct_0(E))  &  (v13_algstr_0(E) &  (v33_algstr_0(E) &  (v3_group_1(E) &  (v5_group_1(E) &  (v4_vectsp_1(E) &  (v5_vectsp_1(E) &  (v2_rlvect_1(E) &  (v3_rlvect_1(E) &  (v4_rlvect_1(E) & l6_algstr_0(E)) ) ) ) ) ) ) ) ) ) )  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(E)) =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, u1_struct_0(E), D, C) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(E)))) )  =>  (r2_tarski(B, k2_finseq_1(k3_finseq_1(G))) =>  (B=A | k8_matrix13(E, k17_matrix_0(u1_struct_0(E), A, G))=k8_matrix13(E, k3_matrix11(A, D, C, u1_struct_0(E), G, k10_fvsum_1(k1_matrix_0(G), E, k7_matrix_0(u1_struct_0(E), G, B), F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t94_matrix13, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  ( ~ ( ( ~ (r1_xxreal_0(k8_matrix13(A, B), k5_numbers))  &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_hidden(k4_tarski(C, D), k2_matrix_0(B)) &  ~ (k3_matrix_0(u1_struct_0(A), B, C, D)=k4_struct_0(A)) ) ) ) ) ) ) ) )  &  ~ ( ( (? [C] :  (v7_ordinal1(C) &  (? [D] :  (v7_ordinal1(D) &  (r2_hidden(k4_tarski(C, D), k2_matrix_0(B)) &  ~ (k3_matrix_0(u1_struct_0(A), B, C, D)=k4_struct_0(A)) ) ) ) ) )  & r1_xxreal_0(k8_matrix13(A, B), k5_numbers)) ) ) ) ) ) ) ).
fof(t95_matrix13, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (k8_matrix13(A, B)=k5_numbers <=> B=k1_matrix_3(A, k3_finseq_1(B), k1_matrix_0(B))) ) ) ) ) ).
fof(t96_matrix13, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (k8_matrix13(A, B)=1 <=>  ( (? [C] :  (v7_ordinal1(C) &  (? [D] :  (v7_ordinal1(D) &  (r2_hidden(k4_tarski(C, D), k2_matrix_0(B)) &  ~ (k3_matrix_0(u1_struct_0(A), B, C, D)=k4_struct_0(A)) ) ) ) ) )  &  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (! [D] :  ( (v7_ordinal1(D) &  ~ (v8_ordinal1(D)) )  =>  (! [E] :  ( (v7_ordinal1(E) &  ~ (v8_ordinal1(E)) )  =>  (! [F] :  ( (v7_ordinal1(F) &  ~ (v8_ordinal1(F)) )  =>  (r1_tarski(k2_zfmisc_1(k4_matrix13(C, D), k4_matrix13(E, F)), k2_matrix_0(B)) =>  (C=D |  (E=F | k12_matrix_3(k4_card_1(k4_matrix13(C, D)), A, k7_matrix13(u1_struct_0(A), B, k4_matrix13(C, D), k4_matrix13(E, F)))=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t97_matrix13, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (k8_matrix13(A, B)=1 <=>  ( (? [C] :  (v7_ordinal1(C) &  (? [D] :  (v7_ordinal1(D) &  (r2_hidden(k4_tarski(C, D), k2_matrix_0(B)) &  ~ (k3_matrix_0(u1_struct_0(A), B, C, D)=k4_struct_0(A)) ) ) ) ) )  &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (r1_tarski(k2_zfmisc_1(k4_matrix13(C, D), k4_matrix13(E, F)), k2_matrix_0(B)) => k8_group_1(A, k3_matrix_0(u1_struct_0(A), B, C, E), k3_matrix_0(u1_struct_0(A), B, D, F))=k8_group_1(A, k3_matrix_0(u1_struct_0(A), B, C, F), k3_matrix_0(u1_struct_0(A), B, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t98_matrix13, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (k8_matrix13(A, B)=1 <=>  (? [C] :  (v7_ordinal1(C) &  (r2_tarski(C, k2_finseq_1(k3_finseq_1(B))) &  ( (? [D] :  (v7_ordinal1(D) &  (r2_tarski(D, k2_finseq_1(k1_matrix_0(B))) &  ~ (k3_matrix_0(u1_struct_0(A), B, C, D)=k4_struct_0(A)) ) ) )  &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(D, k2_finseq_1(k3_finseq_1(B))) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ (k7_matrix_0(u1_struct_0(A), B, D)=k10_fvsum_1(k1_matrix_0(B), A, k7_matrix_0(u1_struct_0(A), B, C), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t100_matrix13, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) &  (v1_matrix_1(B, A) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A)))) )  =>  (! [C] :  ( (v1_finset_1(C) &  (v1_setfam_1(C) & m1_subset_1(C, k1_zfmisc_1(k4_ordinal1))) )  =>  (r1_tarski(k2_zfmisc_1(C, C), k2_matrix_0(B)) => v1_matrix_1(k6_matrix13(u1_struct_0(A), B, C, C), A)) ) ) ) ) ) ) ).
fof(t102_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k6_prvect_1(B, A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k6_prvect_1(B, A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k6_prvect_1(B, A))) =>  (! [G] :  (m2_finseq_2(G, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) =>  (! [H] :  (m2_finseq_2(H, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) =>  (! [I] :  (m2_finseq_2(I, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) =>  (u1_struct_0(k6_prvect_1(B, A))=k4_finseq_2(A, u1_struct_0(B)) &  (k4_struct_0(k6_prvect_1(B, A))=k5_finseq_2(u1_struct_0(B), A, k4_struct_0(B)) &  ( ( (H=E & I=F)  => k4_fvsum_1(A, B, H, I)=k1_algstr_0(k6_prvect_1(B, A), E, F))  &  (G=D => k10_fvsum_1(A, B, G, C)=k3_vectsp_1(B, k6_prvect_1(B, A), C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t103_matrix13, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v6_struct_0(D))  &  (v13_algstr_0(D) &  (v33_algstr_0(D) &  (v3_group_1(D) &  (v5_group_1(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(D), B, C) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(D)))) )  =>  (r2_hidden(A, k9_matrix13(D, B, C, E)) <=>  (? [F] :  (v7_ordinal1(F) &  (r2_tarski(F, k2_finseq_1(B)) & A=k7_matrix_0(u1_struct_0(D), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t104_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k6_prvect_1(B, A)))))  =>  (? [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), k4_card_1(C), A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  &  (v2_funct_1(D) & k9_matrix13(B, k4_card_1(C), A, D)=C) ) ) ) ) ) ) ) ) ).
fof(d5_matrix13, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k6_prvect_1(A, B))) => k10_matrix13(A, B, C)=C) ) ) ) ) ) ).
fof(d6_matrix13, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(A), B, C) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A)))) )  => k11_matrix13(A, B, C, D)=D) ) ) ) ) ) ) ) ).
fof(t105_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), A, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  =>  (k8_matrix13(C, D)=A => v2_funct_1(D)) ) ) ) ) ) ) ) ) ).
fof(t106_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v6_struct_0(D))  &  (v13_algstr_0(D) &  (v33_algstr_0(D) &  (v3_group_1(D) &  (v5_group_1(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(D)) =>  (! [F] :  (m1_vectsp_6(F, D, k6_prvect_1(D, C)) =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, u1_struct_0(D), B, C) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(D)))) )  =>  ( (r2_tarski(A, k2_finseq_1(k3_finseq_1(G))) & E=k1_funct_1(F, k1_funct_1(G, A)))  => k7_matrix_0(u1_struct_0(D), k10_matrix13(D, C, k3_vectsp_6(D, k6_prvect_1(D, C), k11_matrix13(D, B, C, G), F)), A)=k10_fvsum_1(k1_matrix_0(G), D, k7_matrix_0(u1_struct_0(D), G, A), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t107_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v6_struct_0(D))  &  (v13_algstr_0(D) &  (v33_algstr_0(D) &  (v3_group_1(D) &  (v5_group_1(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  (m1_vectsp_6(E, D, k6_prvect_1(D, C)) =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(D), B, C) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(D)))) )  =>  ( (v2_funct_1(F) &  (r1_tarski(k1_vectsp_6(D, k6_prvect_1(D, C), E), k9_matrix13(D, B, C, F)) & r2_tarski(A, k2_finseq_1(C))) )  => k1_funct_1(k4_vectsp_6(D, k6_prvect_1(D, C), E), A)=k4_rlvect_1(D, k8_matrix_0(u1_struct_0(D), k10_matrix13(D, C, k3_vectsp_6(D, k6_prvect_1(D, C), k11_matrix13(D, B, C, F), E)), A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t108_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), A, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(C), A, B) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(C)))) )  =>  ~ ( (v2_funct_1(D) &  ( (! [F] :  (v7_ordinal1(F) =>  ~ ( (r2_tarski(F, k2_finseq_1(A)) &  (! [G] :  (m1_subset_1(G, u1_struct_0(C)) =>  ~ (k7_matrix_0(u1_struct_0(C), E, F)=k10_fvsum_1(k1_matrix_0(D), C, k7_matrix_0(u1_struct_0(C), D, F), G)) ) ) ) ) ) )  &  (! [F] :  (m2_vectsp_6(F, C, k6_prvect_1(C, B), k9_matrix13(C, A, B, D)) =>  ~ (k3_vectsp_6(C, k6_prvect_1(C, B), k11_matrix13(C, A, B, D), F)=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t109_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), A, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  =>  (v2_funct_1(D) =>  ( ( (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_tarski(E, k2_finseq_1(A)) & k7_matrix_0(u1_struct_0(C), D, E)=k5_finseq_2(u1_struct_0(C), B, k4_struct_0(C))) ) ) )  &  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(C), A, B) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(C)))) )  =>  ( ( (! [F] :  (v7_ordinal1(F) =>  ~ ( (r2_tarski(F, k2_finseq_1(A)) &  (! [G] :  (m1_subset_1(G, u1_struct_0(C)) =>  ~ (k7_matrix_0(u1_struct_0(C), E, F)=k10_fvsum_1(k1_matrix_0(D), C, k7_matrix_0(u1_struct_0(C), D, F), G)) ) ) ) ) ) )  &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k2_finseq_1(B)) => k4_rlvect_1(C, k8_matrix_0(u1_struct_0(C), E, F))=k4_struct_0(C)) ) ) )  => E=k1_matrix_3(C, A, B)) ) ) )  <=> v1_vectsp_7(k9_matrix13(C, A, B, D), C, k6_prvect_1(C, B))) ) ) ) ) ) ) ) ) ) ).
fof(t110_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), A, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  =>  (k8_matrix13(C, D)=A => v1_vectsp_7(k9_matrix13(C, A, B, D), C, k6_prvect_1(C, B))) ) ) ) ) ) ) ) ) ).
fof(t111_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) &  (v1_matrix_1(C, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) ) )  =>  (k8_matrix13(B, C)=A =>  (v2_vectsp_7(k9_matrix13(B, A, A, C), B, k6_prvect_1(B, A)) & m1_subset_1(k9_matrix13(B, A, A, C), k1_zfmisc_1(u1_struct_0(k6_prvect_1(B, A))))) ) ) ) ) ) ) ) ).
fof(t112_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  => k1_vectsp_9(B, k6_prvect_1(B, A))=A) ) ) ) ).
fof(t113_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), A, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  ( (! [G] :  (v7_ordinal1(G) =>  (r2_tarski(G, k2_finseq_1(A)) => k3_matrix_0(u1_struct_0(C), D, G, E)=F) ) )  =>  (v2_funct_1(D) <=> v2_funct_1(k6_matrix13(u1_struct_0(C), D, k2_finseq_1(k3_finseq_1(D)), k7_subset_1(k4_ordinal1, k2_finseq_1(k1_matrix_0(D)), k3_matrix13(E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t114_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), A, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  =>  (! [E] :  (v7_ordinal1(E) =>  ( (v2_funct_1(D) &  (v1_vectsp_7(k9_matrix13(C, A, B, D), C, k6_prvect_1(C, B)) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k2_finseq_1(A)) => k3_matrix_0(u1_struct_0(C), D, F, E)=k4_struct_0(C)) ) ) ) )  => v1_vectsp_7(k9_matrix13(C, k4_card_1(k2_finseq_1(k3_finseq_1(D))), k4_card_1(k7_subset_1(k4_ordinal1, k2_finseq_1(k1_matrix_0(D)), k3_matrix13(E))), k6_matrix13(u1_struct_0(C), D, k2_finseq_1(k3_finseq_1(D)), k7_subset_1(k4_ordinal1, k2_finseq_1(k1_matrix_0(D)), k3_matrix13(E)))), C, k6_prvect_1(C, k4_card_1(k7_subset_1(k4_ordinal1, k2_finseq_1(k1_matrix_0(D)), k3_matrix13(E)))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t115_matrix13, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(C))))  =>  (v1_vectsp_7(D, A, C) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  ( (r2_tarski(E, D) & r2_tarski(F, D))  =>  (E=F | v1_vectsp_7(k4_subset_1(u1_struct_0(C), k7_subset_1(u1_struct_0(C), D, k6_domain_1(u1_struct_0(C), E)), k6_domain_1(u1_struct_0(C), k3_rlvect_1(C, E, k3_vectsp_1(A, C, B, F)))), A, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t116_matrix13, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, B) &  (v9_vectsp_1(C, B) &  (v10_vectsp_1(C, B) &  (v11_vectsp_1(C, B) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, B)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (r1_struct_0(k1_vectsp_7(B, C, k7_domain_1(u1_struct_0(C), D, E)), A) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(B)) & A=k3_rlvect_1(C, k3_vectsp_1(B, C, F, D), k3_vectsp_1(B, C, G, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t117_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(C), A, B) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(C)))) )  =>  ( (v1_vectsp_7(k9_matrix13(C, A, B, E), C, k6_prvect_1(C, B)) & v2_funct_1(E))  =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  (r2_tarski(G, k2_finseq_1(k3_finseq_1(E))) =>  (F=G |  (v2_funct_1(k3_matrix11(F, A, B, u1_struct_0(C), E, k4_fvsum_1(k1_matrix_0(E), C, k7_matrix_0(u1_struct_0(C), E, F), k10_fvsum_1(k1_matrix_0(E), C, k7_matrix_0(u1_struct_0(C), E, G), D)))) & v1_vectsp_7(k9_matrix13(C, A, B, k3_matrix11(F, A, B, u1_struct_0(C), E, k4_fvsum_1(k1_matrix_0(E), C, k7_matrix_0(u1_struct_0(C), E, F), k10_fvsum_1(k1_matrix_0(E), C, k7_matrix_0(u1_struct_0(C), E, G), D)))), C, k6_prvect_1(C, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t118_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_finset_1(D) &  (v1_setfam_1(D) & m1_subset_1(D, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(C), A, B) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(C)))) )  =>  (r1_tarski(D, k2_finseq_1(A)) => r1_tarski(k9_matrix13(C, k4_card_1(D), k4_card_1(k2_finseq_1(B)), k6_matrix13(u1_struct_0(C), E, D, k2_finseq_1(B))), k9_matrix13(C, A, B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t119_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_finset_1(D) &  (v1_setfam_1(D) & m1_subset_1(D, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(C), A, B) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(C)))) )  =>  ( (r1_tarski(D, k2_finseq_1(A)) & v1_vectsp_7(k9_matrix13(C, A, B, E), C, k6_prvect_1(C, B)))  => v1_vectsp_7(k9_matrix13(C, k4_card_1(D), k4_card_1(k2_finseq_1(B)), k6_matrix13(u1_struct_0(C), E, D, k2_finseq_1(B))), C, k6_prvect_1(C, k4_card_1(k2_finseq_1(B))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t120_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_finset_1(D) &  (v1_setfam_1(D) & m1_subset_1(D, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(C), A, B) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(C)))) )  =>  ( (r1_tarski(D, k2_finseq_1(A)) & v2_funct_1(E))  => v2_funct_1(k6_matrix13(u1_struct_0(C), E, D, k2_finseq_1(B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t121_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), A, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  =>  ( (v1_vectsp_7(k9_matrix13(C, A, B, D), C, k6_prvect_1(C, B)) & v2_funct_1(D))  <=> k8_matrix13(C, D)=A) ) ) ) ) ) ) ) ) ).
fof(t122_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), A, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k6_prvect_1(C, B)))) =>  ~ ( (r1_tarski(E, k9_matrix13(C, A, B, D)) &  (! [F] :  ( (v1_finset_1(F) &  (v1_setfam_1(F) & m1_subset_1(F, k1_zfmisc_1(k4_ordinal1))) )  =>  ~ ( (r1_tarski(F, k2_finseq_1(A)) &  (k9_matrix13(C, k4_card_1(F), k4_card_1(k2_finseq_1(B)), k6_matrix13(u1_struct_0(C), D, F, k2_finseq_1(B)))=E & v2_funct_1(k6_matrix13(u1_struct_0(C), D, F, k2_finseq_1(B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t123_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), A, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (k8_matrix13(C, D)=E <=>  ( (? [F] :  ( (v1_finset_1(F) & m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k6_prvect_1(C, B)))))  &  (v1_vectsp_7(F, C, k6_prvect_1(C, B)) &  (r1_tarski(F, k9_matrix13(C, A, B, D)) & k4_card_1(F)=E) ) ) )  &  (! [F] :  ( (v1_finset_1(F) & m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k6_prvect_1(C, B)))))  =>  ( (v1_vectsp_7(F, C, k6_prvect_1(C, B)) & r1_tarski(F, k9_matrix13(C, A, B, D)))  => r1_xxreal_0(k4_card_1(F), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_matrix13, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(A)))  &  (v7_ordinal1(C) &  (v7_ordinal1(D) &  (m1_subset_1(E, k4_finseq_2(C, k4_ordinal1)) & m1_subset_1(F, k4_finseq_2(D, k4_ordinal1))) ) ) ) )  =>  (v1_matrix_0(k1_matrix13(A, B, C, D, E, F)) &  (v2_matrix_0(k1_matrix13(A, B, C, D, E, F), A, C, D) & m2_finseq_1(k1_matrix13(A, B, C, D, E, F), k3_finseq_2(A))) ) ) ) ).
fof(dt_k2_matrix13, axiom,  (! [A, B, C, D, E] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), A, B) & m1_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  & m1_subset_1(E, u1_struct_0(C))) ) ) )  =>  (v1_matrix_0(k2_matrix13(A, B, C, D, E)) &  (v2_matrix_0(k2_matrix13(A, B, C, D, E), u1_struct_0(C), A, B) & m2_finseq_1(k2_matrix13(A, B, C, D, E), k3_finseq_2(u1_struct_0(C)))) ) ) ) ).
fof(redefinition_k2_matrix13, axiom,  (! [A, B, C, D, E] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), A, B) & m1_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  & m1_subset_1(E, u1_struct_0(C))) ) ) )  => k2_matrix13(A, B, C, D, E)=k6_matrix_3(C, D, E)) ) ).
fof(dt_k3_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k3_matrix13(A), k1_zfmisc_1(k4_ordinal1))) ) ).
fof(redefinition_k3_matrix13, axiom,  (! [A] :  (v7_ordinal1(A) => k3_matrix13(A)=k1_tarski(A)) ) ).
fof(dt_k4_matrix13, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => m1_subset_1(k4_matrix13(A, B), k1_zfmisc_1(k4_ordinal1))) ) ).
fof(commutativity_k4_matrix13, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => k4_matrix13(A, B)=k4_matrix13(B, A)) ) ).
fof(redefinition_k4_matrix13, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => k4_matrix13(A, B)=k2_tarski(A, B)) ) ).
fof(dt_k5_matrix13, axiom,  (! [A] :  ( (v1_finset_1(A) &  (v1_setfam_1(A) & m1_subset_1(A, k1_zfmisc_1(k4_ordinal1))) )  => m2_finseq_2(k5_matrix13(A), k4_ordinal1, k4_finseq_2(k4_card_1(A), k4_ordinal1))) ) ).
fof(redefinition_k5_matrix13, axiom,  (! [A] :  ( (v1_finset_1(A) &  (v1_setfam_1(A) & m1_subset_1(A, k1_zfmisc_1(k4_ordinal1))) )  => k5_matrix13(A)=k14_finseq_1(A)) ) ).
fof(dt_k6_matrix13, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(A)))  &  ( (v1_finset_1(C) &  (v1_setfam_1(C) & m1_subset_1(C, k1_zfmisc_1(k4_ordinal1))) )  &  (v1_finset_1(D) &  (v1_setfam_1(D) & m1_subset_1(D, k1_zfmisc_1(k4_ordinal1))) ) ) ) )  =>  (v1_matrix_0(k6_matrix13(A, B, C, D)) &  (v2_matrix_0(k6_matrix13(A, B, C, D), A, k4_card_1(C), k4_card_1(D)) & m2_finseq_1(k6_matrix13(A, B, C, D), k3_finseq_2(A))) ) ) ) ).
fof(dt_k7_matrix13, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(A)))  &  ( (v1_finset_1(C) &  (v1_setfam_1(C) & m1_subset_1(C, k1_zfmisc_1(k4_ordinal1))) )  &  (v1_finset_1(D) &  (v1_setfam_1(D) & m1_subset_1(D, k1_zfmisc_1(k4_ordinal1))) ) ) ) )  =>  (v1_matrix_0(k7_matrix13(A, B, C, D)) &  (v2_matrix_0(k7_matrix13(A, B, C, D), A, k4_card_1(C), k4_card_1(C)) & m2_finseq_1(k7_matrix13(A, B, C, D), k3_finseq_2(A))) ) ) ) ).
fof(dt_k8_matrix13, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(u1_struct_0(A)))) )  => m1_subset_1(k8_matrix13(A, B), k4_ordinal1)) ) ).
fof(dt_k9_matrix13, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(A), B, C) & m1_finseq_1(D, k3_finseq_2(u1_struct_0(A)))) ) ) ) )  => m1_subset_1(k9_matrix13(A, B, C, D), k1_zfmisc_1(u1_struct_0(k6_prvect_1(A, C))))) ) ).
fof(redefinition_k9_matrix13, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(A), B, C) & m1_finseq_1(D, k3_finseq_2(u1_struct_0(A)))) ) ) ) )  => k9_matrix13(A, B, C, D)=k10_xtuple_0(D)) ) ).
fof(dt_k10_matrix13, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (v7_ordinal1(B) & m1_finseq_1(C, u1_struct_0(k6_prvect_1(A, B)))) )  =>  (v1_matrix_0(k10_matrix13(A, B, C)) &  (v2_matrix_0(k10_matrix13(A, B, C), u1_struct_0(A), k3_finseq_1(C), B) & m2_finseq_1(k10_matrix13(A, B, C), k3_finseq_2(u1_struct_0(A)))) ) ) ) ).
fof(dt_k11_matrix13, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(A), B, C) & m1_finseq_1(D, k3_finseq_2(u1_struct_0(A)))) ) ) ) )  => m2_finseq_1(k11_matrix13(A, B, C, D), u1_struct_0(k6_prvect_1(A, C)))) ) ).
fof(t9_matrix13, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (v7_ordinal1(B) => k1_card_1(a_2_0_matrix13(A, B))=k4_newton(B, k4_card_1(A))) ) ) ) ).
fof(t99_matrix13, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) &  (v1_matrix_1(B, A) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A)))) )  =>  (! [C] :  (C=a_2_1_matrix13(A, B) =>  (! [D] :  ( (v1_finset_1(D) &  (v1_setfam_1(D) & m1_subset_1(D, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [E] :  ( (v1_finset_1(E) &  (v1_setfam_1(E) & m1_subset_1(E, k1_zfmisc_1(k4_ordinal1))) )  =>  ( (r1_tarski(k2_zfmisc_1(D, E), k2_matrix_0(B)) & k4_card_1(D)=k4_card_1(E))  =>  (k12_matrix_3(k4_card_1(D), A, k7_matrix13(u1_struct_0(A), B, D, E))=k4_struct_0(A) |  (r1_tarski(D, C) & r1_tarski(E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t101_matrix13, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) &  (v1_matrix_1(B, A) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A)))) )  =>  (! [C] :  (C=a_2_1_matrix13(A, B) => k8_matrix13(A, B)=k1_card_1(C)) ) ) ) ) ) ).
fof(fraenkel_a_2_0_matrix13, axiom,  (! [A, B, C] :  ( (v1_finset_1(B) & v7_ordinal1(C))  =>  (r2_hidden(A, a_2_0_matrix13(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) &  (A=D & k4_card_1(D)=C) ) ) ) ) ) ).
fof(fraenkel_a_2_1_matrix13, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  (v1_matrix_0(C) &  (v1_matrix_1(C, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) ) )  =>  (r2_hidden(A, a_2_1_matrix13(B, C)) <=>  (? [D] :  (m1_subset_1(D, k4_ordinal1) &  (A=D &  (r2_tarski(k1_domain_1(k4_ordinal1, k4_ordinal1, D, D), k2_matrix_0(C)) &  ~ (k3_matrix_0(u1_struct_0(B), C, D, D)=k4_struct_0(B)) ) ) ) ) ) ) ) ).
fof(d1_matrix14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k1_matrix14(A, B)=k5_finseq_2(u1_struct_0(A), B, k4_struct_0(A))) ) ) ) ).
fof(t1_matrix14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) => m2_finseq_2(B, u1_struct_0(A), k4_finseq_2(k3_finseq_1(B), u1_struct_0(A)))) ) ) ) ).
fof(t2_matrix14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (k3_finseq_1(B)=k3_finseq_1(C) => k3_finseq_1(k3_fvsum_1(A, B, C))=k3_finseq_1(B)) ) ) ) ) ) ) ).
fof(t3_matrix14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (k3_finseq_1(B)=k3_finseq_1(C) => k3_finseq_1(k7_fvsum_1(A, B, C))=k3_finseq_1(B)) ) ) ) ) ) ) ).
fof(t4_matrix14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r2_tarski(D, k4_finseq_1(k11_fvsum_1(A, B, C))) =>  (k1_funct_1(k11_fvsum_1(A, B, C), D)=k6_algstr_0(A, k7_partfun1(u1_struct_0(A), B, D), k7_partfun1(u1_struct_0(A), C, D)) & k7_partfun1(u1_struct_0(A), k11_fvsum_1(A, B, C), D)=k6_algstr_0(A, k7_partfun1(u1_struct_0(A), B, D), k7_partfun1(u1_struct_0(A), C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t5_matrix14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (r1_xxreal_0(1, D) & r1_xxreal_0(D, k3_finseq_1(B))) )  =>  (k1_funct_1(k3_fvsum_1(A, B, C), D)=k1_algstr_0(A, k7_partfun1(u1_struct_0(A), B, D), k7_partfun1(u1_struct_0(A), C, D)) & k1_funct_1(k7_fvsum_1(A, B, C), D)=k5_algstr_0(A, k7_partfun1(u1_struct_0(A), B, D), k7_partfun1(u1_struct_0(A), C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t6_matrix14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (k5_fvsum_1(A, k9_fvsum_1(A, C, B))=k9_fvsum_1(A, C, k4_algstr_0(A, B)) & k5_fvsum_1(A, k9_fvsum_1(A, C, B))=k9_fvsum_1(A, k5_fvsum_1(A, C), B)) ) ) ) ) ) ) ).
fof(t7_matrix14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(A)) =>  ( (k3_finseq_1(B)=k3_finseq_1(C) & k3_finseq_1(D)=k3_finseq_1(E))  => k11_fvsum_1(A, k8_finseq_1(u1_struct_0(A), B, D), k8_finseq_1(u1_struct_0(A), C, E))=k8_finseq_1(u1_struct_0(A), k11_fvsum_1(A, B, C), k11_fvsum_1(A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_matrix14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k3_finseq_1(B)=k3_finseq_1(C) =>  (k11_fvsum_1(A, k9_fvsum_1(A, B, D), C)=k9_fvsum_1(A, k11_fvsum_1(A, B, C), D) & k11_fvsum_1(A, B, k9_fvsum_1(A, C, D))=k9_fvsum_1(A, k11_fvsum_1(A, B, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(t9_matrix14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k3_finseq_1(B)=k3_finseq_1(C) => k13_fvsum_1(A, k9_fvsum_1(A, B, D), C)=k8_group_1(A, D, k13_fvsum_1(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t10_matrix14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k3_finseq_1(B)=k3_finseq_1(C) => k13_fvsum_1(A, B, k9_fvsum_1(A, C, D))=k8_group_1(A, D, k13_fvsum_1(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t11_matrix14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (k3_finseq_1(B)=k3_finseq_1(C) & k3_finseq_1(B)=k3_finseq_1(D))  => k13_fvsum_1(A, B, k3_fvsum_1(A, C, D))=k1_algstr_0(A, k13_fvsum_1(A, B, C), k13_fvsum_1(A, B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_matrix14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(A)) =>  ( (k3_finseq_1(B)=k3_finseq_1(C) & k3_finseq_1(D)=k3_finseq_1(E))  => k13_fvsum_1(A, k8_finseq_1(u1_struct_0(A), B, D), k8_finseq_1(u1_struct_0(A), C, E))=k1_algstr_0(A, k13_fvsum_1(A, B, C), k13_fvsum_1(A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_matrix14, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(B), k4_finseq_2(A, u1_struct_0(B))) => k12_fvsum_1(A, B, C, k5_finseq_2(u1_struct_0(B), A, k4_struct_0(B)))=k5_finseq_2(u1_struct_0(B), A, k4_struct_0(B))) ) ) ) ) ) ).
fof(t14_matrix14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (k3_matrix_1(A, k5_numbers)=k2_matrix_1(A, k5_numbers) & k3_matrix_1(A, k5_numbers)=k1_xboole_0) ) ) ).
fof(t15_matrix14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, u1_struct_0(A), k5_numbers, k5_numbers) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A)))) )  =>  (B=k1_xboole_0 &  (B=k3_matrix_1(A, k5_numbers) & B=k2_matrix_1(A, k5_numbers)) ) ) ) ) ) ).
fof(t16_matrix14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, u1_struct_0(A), k5_numbers, k5_numbers) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A)))) )  => v1_matrix_6(B, k5_numbers, A)) ) ) ) ).
fof(t17_matrix14, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(B), A, A) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B)))) )  => k4_matrix_3(B, k4_matrix_3(B, C, D), E)=k4_matrix_3(B, C, k4_matrix_3(B, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t18_matrix14, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( ( (v1_matrix_6(C, A, B) & D=k1_matrix_6(A, B, C))  =>  (k4_matrix_3(B, D, C)=k3_matrix_1(B, A) & k4_matrix_3(B, C, D)=k3_matrix_1(B, A)) )  &  ( (k4_matrix_3(B, D, C)=k3_matrix_1(B, A) & k4_matrix_3(B, C, D)=k3_matrix_1(B, A))  =>  (v1_matrix_6(C, A, B) & D=k1_matrix_6(A, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_matrix14, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (v1_matrix_6(C, A, B) <=>  (? [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  &  (k4_matrix_3(B, D, C)=k3_matrix_1(B, A) & k4_matrix_3(B, C, D)=k3_matrix_1(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(t20_matrix14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) => k13_fvsum_1(A, B, k2_matrix14(A, k3_finseq_1(B)))=k4_struct_0(A)) ) ) ) ).
fof(t21_matrix14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) => k13_fvsum_1(A, k2_matrix14(A, k3_finseq_1(B)), B)=k4_struct_0(A)) ) ) ) ).
fof(t22_matrix14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k13_fvsum_1(A, k12_finseq_1(u1_struct_0(A), k4_struct_0(A)), k12_finseq_1(u1_struct_0(A), B))=k4_struct_0(A)) ) ) ) ).
fof(d2_matrix14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k3_matrix14(A, B, C)=k1_finseq_7(u1_struct_0(A), k5_finseq_2(u1_struct_0(A), B, k4_struct_0(A)), C, k5_struct_0(A))) ) ) ) ) ) ).
fof(t23_matrix14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k3_finseq_1(k3_matrix14(A, B, C))=B) ) ) ) ) ) ).
fof(t24_matrix14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(B, C))  => k1_funct_1(k3_matrix14(A, C, B), B)=k5_struct_0(A)) ) ) ) ) ) ) ).
fof(t25_matrix14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, D))  =>  (B=C | k1_funct_1(k3_matrix14(A, D, B), C)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ).
fof(t26_matrix14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(B, C))  => k1_funct_1(k3_matrix_1(A, C), B)=k3_matrix14(A, C, B)) ) ) ) ) ) ) ).
fof(t27_matrix14, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, A) &  (r1_xxreal_0(1, D) & r1_xxreal_0(D, A)) ) )  => k3_matrix_0(u1_struct_0(B), k3_matrix_1(B, A), C, D)=k1_funct_1(k3_matrix14(B, A, C), D)) ) ) ) ) ) ) ) ) ).
fof(t28_matrix14, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (C=k2_matrix_1(B, A) <=>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, A) &  (r1_xxreal_0(1, E) & r1_xxreal_0(E, A)) ) )  => k3_matrix_0(u1_struct_0(B), C, D, E)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_matrix14, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (C=k3_matrix_1(B, A) <=>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, A) &  (r1_xxreal_0(1, E) & r1_xxreal_0(E, A)) ) )  => k3_matrix_0(u1_struct_0(B), C, D, E)=k16_funcop_1(u1_struct_0(B), D, E, k5_struct_0(B), k4_struct_0(B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_matrix14, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  => k4_matrix_0(u1_struct_0(B), k4_matrix_3(B, C, D))=k4_matrix_3(B, k4_matrix_0(u1_struct_0(B), D), k4_matrix_0(u1_struct_0(B), C))) ) ) ) ) ) ) ) ).
fof(t31_matrix14, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (v1_matrix_6(C, A, B) =>  (v1_matrix_6(k4_matrix_0(u1_struct_0(B), C), A, B) & k1_matrix_6(A, B, k4_matrix_0(u1_struct_0(B), C))=k4_matrix_0(u1_struct_0(B), k1_matrix_6(A, B, C))) ) ) ) ) ) ) ) ).
fof(t32_matrix14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (? [D] :  (m1_subset_1(D, k4_ordinal1) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k3_finseq_1(B)) &  (k1_funct_1(B, D)=C &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, k3_finseq_1(B)))  =>  (E=D | k1_funct_1(B, E)=k4_struct_0(A)) ) ) ) ) ) ) ) )  => k4_rlvect_1(A, B)=C) ) ) ) ) ) ) ).
fof(t33_matrix14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (k4_finseq_1(k11_fvsum_1(A, B, C))=k9_subset_1(k4_ordinal1, k4_finseq_1(B), k4_finseq_1(C)) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r2_tarski(D, k4_finseq_1(k11_fvsum_1(A, B, C))) => k1_funct_1(k11_fvsum_1(A, B, C), D)=k8_group_1(A, k7_partfun1(u1_struct_0(A), B, D), k7_partfun1(u1_struct_0(A), C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t34_matrix14, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(B)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( (k3_finseq_1(C)=A &  (D=k11_fvsum_1(B, C, k3_matrix14(B, A, E)) &  (r1_xxreal_0(1, E) & r1_xxreal_0(E, A)) ) )  =>  (k1_funct_1(D, E)=k1_funct_1(C, E) &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  ( (r1_xxreal_0(1, F) & r1_xxreal_0(F, A))  =>  (F=E | k1_funct_1(D, F)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_matrix14, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(C)) =>  ( (k3_finseq_1(D)=A &  (r1_xxreal_0(1, B) & r1_xxreal_0(B, A)) )  =>  (k13_fvsum_1(C, D, k3_matrix14(C, A, B))=k1_funct_1(D, B) & k13_fvsum_1(C, D, k3_matrix14(C, A, B))=k7_partfun1(u1_struct_0(C), D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t36_matrix14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, B))  => k13_fvsum_1(A, k3_matrix14(A, B, C), k3_matrix14(A, B, C))=k5_struct_0(A)) ) ) ) ) ) ) ).
fof(t37_matrix14, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(B), A, A) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (k3_matrix_0(u1_struct_0(B), D, 1, 1)=k9_algstr_0(B, C) &  ( (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r1_xxreal_0(F, A) =>  (r1_xxreal_0(F, 1) | k1_funct_1(D, F)=k3_matrix14(B, A, F)) ) ) )  &  (k3_matrix_0(u1_struct_0(B), E, 1, 1)=C &  ( (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r1_xxreal_0(F, A) =>  (r1_xxreal_0(F, 1) | k3_matrix_0(u1_struct_0(B), E, 1, F)=k4_algstr_0(B, k8_group_1(B, C, k3_matrix_0(u1_struct_0(B), D, 1, F)))) ) ) )  &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r1_xxreal_0(F, A) =>  (r1_xxreal_0(F, 1) | k1_funct_1(E, F)=k3_matrix14(B, A, F)) ) ) ) ) ) ) )  =>  (r1_xxreal_0(A, k5_numbers) |  (C=k4_struct_0(B) |  (v1_matrix_6(D, A, B) & E=k1_matrix_6(A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_matrix14, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (k3_matrix_0(u1_struct_0(B), D, 1, 1)=k9_algstr_0(B, C) &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r1_xxreal_0(E, A) =>  (r1_xxreal_0(E, 1) | k1_funct_1(D, E)=k3_matrix14(B, A, E)) ) ) ) )  =>  (r1_xxreal_0(A, k5_numbers) |  (C=k4_struct_0(B) | v1_matrix_6(D, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_matrix14, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (k3_matrix_0(u1_struct_0(B), C, 1, 1)=k4_struct_0(B))  &  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ~ ( (v1_matrix_6(D, A, B) &  (k3_matrix_0(u1_struct_0(B), k4_matrix_3(B, C, D), 1, 1)=k5_struct_0(B) &  ( (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r1_xxreal_0(E, A) =>  (r1_xxreal_0(E, 1) | k3_matrix_0(u1_struct_0(B), k4_matrix_3(B, C, D), 1, E)=k4_struct_0(B)) ) ) )  &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( (r1_xxreal_0(E, A) & k3_matrix_0(u1_struct_0(B), C, E, 1)=k4_struct_0(B))  =>  (r1_xxreal_0(E, 1) | k3_matrix_0(u1_struct_0(B), k4_matrix_3(B, C, D), E, 1)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_matrix14, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (k3_matrix_0(u1_struct_0(B), C, 1, 1)=k4_struct_0(B))  &  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ~ ( (v1_matrix_6(D, A, B) &  (k3_matrix_0(u1_struct_0(B), k4_matrix_3(B, D, C), 1, 1)=k5_struct_0(B) &  ( (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r1_xxreal_0(E, A) =>  (r1_xxreal_0(E, 1) | k3_matrix_0(u1_struct_0(B), k4_matrix_3(B, D, C), E, 1)=k4_struct_0(B)) ) ) )  &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( (r1_xxreal_0(E, A) & k3_matrix_0(u1_struct_0(B), C, 1, E)=k4_struct_0(B))  =>  (r1_xxreal_0(E, 1) | k3_matrix_0(u1_struct_0(B), k4_matrix_3(B, D, C), 1, E)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_matrix14, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (k3_matrix_0(u1_struct_0(B), C, 1, 1)=k4_struct_0(B))  &  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(B), A, A) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B)))) )  =>  ~ ( (v1_matrix_6(D, A, B) &  (v1_matrix_6(E, A, B) &  (k3_matrix_0(u1_struct_0(B), k4_matrix_3(B, k4_matrix_3(B, D, C), E), 1, 1)=k5_struct_0(B) &  ( (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r1_xxreal_0(F, A) =>  (r1_xxreal_0(F, 1) | k3_matrix_0(u1_struct_0(B), k4_matrix_3(B, k4_matrix_3(B, D, C), E), F, 1)=k4_struct_0(B)) ) ) )  &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r1_xxreal_0(F, A) =>  (r1_xxreal_0(F, 1) | k3_matrix_0(u1_struct_0(B), k4_matrix_3(B, k4_matrix_3(B, D, C), E), 1, F)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_matrix14, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, A, B, C) & m2_finseq_1(F, k3_finseq_2(A))) )  =>  (v1_matrix_0(k2_finseq_7(k3_finseq_2(A), F, D, E)) &  (v2_matrix_0(k2_finseq_7(k3_finseq_2(A), F, D, E), A, B, C) & m2_finseq_1(k2_finseq_7(k3_finseq_2(A), F, D, E), k3_finseq_2(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_matrix14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (v7_ordinal1(C) => k4_matrix14(A, B, C)=k2_finseq_7(k3_finseq_2(u1_struct_0(A)), k3_matrix_1(A, B), 1, C)) ) ) ) ) ) ).
fof(t43_matrix14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(A), B, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A)))) )  =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, B) & D=k4_matrix14(A, B, C)) )  =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, B) &  (r1_xxreal_0(1, F) & r1_xxreal_0(F, B)) ) )  =>  (C=1 |  ( ( (E=1 & F=C)  => k3_matrix_0(u1_struct_0(A), D, E, F)=k5_struct_0(A))  &  ( ( (E=C & F=1)  => k3_matrix_0(u1_struct_0(A), D, E, F)=k5_struct_0(A))  &  ( ( (E=1 & F=1)  => k3_matrix_0(u1_struct_0(A), D, E, F)=k4_struct_0(A))  &  ( ( (E=C & F=C)  => k3_matrix_0(u1_struct_0(A), D, E, F)=k4_struct_0(A))  &  ( ~ ( ( (E=1 | E=C)  &  (F=1 | F=C) ) )  =>  ( (E=F => k3_matrix_0(u1_struct_0(A), D, E, F)=k5_struct_0(A))  &  ( ~ (E=F)  => k3_matrix_0(u1_struct_0(A), D, E, F)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_matrix14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(A), B, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A)))) )  =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, B))  => k3_matrix_0(u1_struct_0(A), k4_matrix14(A, B, 1), D, D)=k5_struct_0(A)) ) ) ) ) ) ) ) ) ).
fof(t45_matrix14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(A), B, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A)))) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, B) &  (r1_xxreal_0(1, E) & r1_xxreal_0(E, B)) ) )  =>  (D=E | k3_matrix_0(u1_struct_0(A), k4_matrix14(A, B, 1), D, E)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_matrix14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(A), B, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A)))) )  =>  ( (C=1 &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, B) &  (r1_xxreal_0(1, F) & r1_xxreal_0(F, B)) ) )  =>  ( (E=F => k3_matrix_0(u1_struct_0(A), D, E, F)=k5_struct_0(A))  &  ( ~ (E=F)  => k3_matrix_0(u1_struct_0(A), D, E, F)=k4_struct_0(A)) ) ) ) ) ) ) )  => D=k4_matrix14(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t47_matrix14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(A), B, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A)))) )  =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, B) &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, B) &  (r1_xxreal_0(1, F) & r1_xxreal_0(F, B)) ) )  =>  ( ( (E=1 & F=C)  => k3_matrix_0(u1_struct_0(A), D, E, F)=k5_struct_0(A))  &  ( ( (E=C & F=1)  => k3_matrix_0(u1_struct_0(A), D, E, F)=k5_struct_0(A))  &  ( ( (E=1 & F=1)  => k3_matrix_0(u1_struct_0(A), D, E, F)=k4_struct_0(A))  &  ( ( (E=C & F=C)  => k3_matrix_0(u1_struct_0(A), D, E, F)=k4_struct_0(A))  &  ( ~ ( ( (E=1 | E=C)  &  (F=1 | F=C) ) )  =>  ( (E=F => k3_matrix_0(u1_struct_0(A), D, E, F)=k5_struct_0(A))  &  ( ~ (E=F)  => k3_matrix_0(u1_struct_0(A), D, E, F)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (C=1 | D=k4_matrix14(A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t48_matrix14, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, A))  =>  ( (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, A))  =>  (k3_matrix_0(u1_struct_0(B), k4_matrix_3(B, k4_matrix14(B, A, D), C), D, E)=k3_matrix_0(u1_struct_0(B), C, 1, E) & k3_matrix_0(u1_struct_0(B), k4_matrix_3(B, k4_matrix14(B, A, D), C), 1, E)=k3_matrix_0(u1_struct_0(B), C, D, E)) ) ) )  &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  ( (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, A) &  (r1_xxreal_0(1, F) & r1_xxreal_0(F, A)) ) )  =>  (E=1 |  (E=D | k3_matrix_0(u1_struct_0(B), k4_matrix_3(B, k4_matrix14(B, A, D), C), E, F)=k3_matrix_0(u1_struct_0(B), C, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_matrix14, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, A))  =>  (v1_matrix_6(k4_matrix14(B, A, C), A, B) & k1_matrix_6(A, B, k4_matrix14(B, A, C))=k4_matrix14(B, A, C)) ) ) ) ) ) ) ) ).
fof(t50_matrix14, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, A))  => k4_matrix_0(u1_struct_0(B), k4_matrix14(B, A, C))=k4_matrix14(B, A, C)) ) ) ) ) ) ) ).
fof(t51_matrix14, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, A))  =>  ( (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, A))  =>  (k3_matrix_0(u1_struct_0(B), k4_matrix_3(B, C, k4_matrix14(B, A, D)), E, D)=k3_matrix_0(u1_struct_0(B), C, E, 1) & k3_matrix_0(u1_struct_0(B), k4_matrix_3(B, C, k4_matrix14(B, A, D)), E, 1)=k3_matrix_0(u1_struct_0(B), C, E, D)) ) ) )  &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  ( (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, A) &  (r1_xxreal_0(1, F) & r1_xxreal_0(F, A)) ) )  =>  (F=1 |  (F=D | k3_matrix_0(u1_struct_0(B), k4_matrix_3(B, C, k4_matrix14(B, A, D)), E, F)=k3_matrix_0(u1_struct_0(B), C, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_matrix14, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (C=k2_matrix_1(B, A) <=>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, A) &  (r1_xxreal_0(1, E) & r1_xxreal_0(E, A)) ) )  => k3_matrix_0(u1_struct_0(B), C, D, E)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_matrix14, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  ~ ( ( ~ (C=k2_matrix_1(B, A))  &  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(B), A, A) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B)))) )  =>  ~ ( (v1_matrix_6(D, A, B) &  (v1_matrix_6(E, A, B) &  (k3_matrix_0(u1_struct_0(B), k4_matrix_3(B, k4_matrix_3(B, D, C), E), 1, 1)=k5_struct_0(B) &  ( (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r1_xxreal_0(F, A) =>  (r1_xxreal_0(F, 1) | k3_matrix_0(u1_struct_0(B), k4_matrix_3(B, k4_matrix_3(B, D, C), E), F, 1)=k4_struct_0(B)) ) ) )  &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r1_xxreal_0(F, A) =>  (r1_xxreal_0(F, 1) | k3_matrix_0(u1_struct_0(B), k4_matrix_3(B, k4_matrix_3(B, D, C), E), 1, F)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_matrix14, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ~ ( (k4_matrix_3(B, D, C)=k3_matrix_1(B, A) &  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(B), A, A) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B)))) )  =>  ~ (k4_matrix_3(B, C, E)=k3_matrix_1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_matrix14, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  ( ~ ( ( (? [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  & k4_matrix_3(B, D, C)=k3_matrix_1(B, A)) )  &  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ~ (k4_matrix_3(B, C, D)=k3_matrix_1(B, A)) ) ) ) )  &  ~ ( ( (? [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  & k4_matrix_3(B, C, D)=k3_matrix_1(B, A)) )  &  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ~ (k4_matrix_3(B, D, C)=k3_matrix_1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_matrix14, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (k4_matrix_3(B, C, D)=k3_matrix_1(B, A) =>  (v1_matrix_6(C, A, B) & v1_matrix_6(D, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_matrix14, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  & m1_subset_1(B, k4_ordinal1))  => m2_finseq_1(k1_matrix14(A, B), u1_struct_0(A))) ) ).
fof(dt_k2_matrix14, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  & m1_subset_1(B, k4_ordinal1))  => m2_finseq_2(k2_matrix14(A, B), u1_struct_0(A), k4_finseq_2(B, u1_struct_0(A)))) ) ).
fof(redefinition_k2_matrix14, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  & m1_subset_1(B, k4_ordinal1))  => k2_matrix14(A, B)=k1_matrix14(A, B)) ) ).
fof(dt_k3_matrix14, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (v7_ordinal1(B) & v7_ordinal1(C)) )  => m2_finseq_1(k3_matrix14(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k4_matrix14, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, k4_ordinal1) & v7_ordinal1(C)) )  =>  (v1_matrix_0(k4_matrix14(A, B, C)) &  (v2_matrix_0(k4_matrix14(A, B, C), u1_struct_0(A), B, B) & m2_finseq_1(k4_matrix14(A, B, C), k3_finseq_2(u1_struct_0(A)))) ) ) ) ).
fof(fc1_matrix15, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  & m1_subset_1(C, k4_ordinal1)) )  => v1_vectsp_4(k5_matrix15(A, B, k5_finseq_2(u1_struct_0(A), C, k4_struct_0(A))), A, k6_prvect_1(A, k1_matrix_0(B)))) ) ).
fof(t1_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  (k1_matrix_0(C)=k3_finseq_1(D) => k4_matrix_3(A, k6_matrix_3(A, C, B), D)=k6_matrix_3(A, k4_matrix_3(A, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t2_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  (k6_matrix_3(A, D, k1_group_1(A))=D & k6_matrix_3(A, k6_matrix_3(A, D, C), B)=k6_matrix_3(A, D, k8_group_1(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t3_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(A)) =>  ( (k3_finseq_1(B)=k3_finseq_1(C) & k3_finseq_1(D)=k3_finseq_1(E))  => k3_fvsum_1(A, k8_finseq_1(u1_struct_0(A), B, D), k8_finseq_1(u1_struct_0(A), C, E))=k8_finseq_1(u1_struct_0(A), k3_fvsum_1(A, B, C), k3_fvsum_1(A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k9_fvsum_1(A, k8_finseq_1(u1_struct_0(A), B, C), D)=k8_finseq_1(u1_struct_0(A), k9_fvsum_1(A, B, D), k9_fvsum_1(A, C, D))) ) ) ) ) ) ) ) ).
fof(t5_matrix15, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  ( (r1_tarski(k10_xtuple_0(B), k9_xtuple_0(A)) &  (r1_tarski(k10_xtuple_0(C), k9_xtuple_0(A)) &  (D=k3_relat_1(B, A) & E=k3_relat_1(C, A)) ) )  => k3_relat_1(k7_finseq_1(B, C), A)=k7_finseq_1(D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_matrix15, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  (! [B] :  (v7_ordinal1(B) =>  ( (v2_funct_1(A) &  (r1_tarski(k10_xtuple_0(A), k2_finseq_1(B)) &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(C, k4_finseq_1(A)) &  (r2_tarski(D, k4_finseq_1(A)) &  ( ~ (r1_xxreal_0(D, C))  & r1_xxreal_0(k1_funct_1(A, D), k1_funct_1(A, C))) ) ) ) ) ) ) ) ) )  => k14_finseq_1(k10_xtuple_0(A))=A) ) ) ) ) ).
fof(t7_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(C, k4_finseq_1(B)) &  (r2_tarski(D, k4_finseq_1(B)) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(B)) =>  (E=C |  (E=D | k1_funct_1(B, E)=k4_struct_0(A)) ) ) ) ) ) )  =>  (C=D | k4_rlvect_1(A, B)=k3_rlvect_1(A, k7_partfun1(u1_struct_0(A), B, C), k7_partfun1(u1_struct_0(A), B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t8_matrix15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(A, k2_finseq_1(B)) => k1_funct_1(k5_matrix13(k7_subset_1(k4_ordinal1, k2_finseq_1(k2_xcmplx_0(C, B)), k2_finseq_1(C))), A)=k2_xcmplx_0(C, A)) ) ) ) ) ) ) ).
fof(t9_matrix15, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  ( (v1_finset_1(C) &  (v1_setfam_1(C) & m1_subset_1(C, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [D] :  ( (v1_finset_1(D) &  (v1_setfam_1(D) & m1_subset_1(D, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [E] :  ( (v1_finset_1(E) &  (v1_setfam_1(E) & m1_subset_1(E, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [F] :  ( (v1_finset_1(F) &  (v1_setfam_1(F) & m1_subset_1(F, k1_zfmisc_1(k4_ordinal1))) )  =>  ( (r1_tarski(k2_zfmisc_1(C, D), k2_matrix_0(B)) & r1_tarski(k2_zfmisc_1(E, F), k2_matrix_0(B)))  =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, A, k4_card_1(C), k4_card_1(D)) & m2_finseq_1(G, k3_finseq_2(A))) )  =>  (! [H] :  ( (v1_matrix_0(H) &  (v2_matrix_0(H, A, k4_card_1(E), k4_card_1(F)) & m2_finseq_1(H, k3_finseq_2(A))) )  =>  ~ ( ( (! [I] :  (v7_ordinal1(I) =>  (! [J] :  (v7_ordinal1(J) =>  (! [K] :  (v7_ordinal1(K) =>  (! [L] :  (v7_ordinal1(L) =>  (! [M] :  (v7_ordinal1(M) =>  (! [N] :  (v7_ordinal1(N) =>  ( (r2_hidden(k4_tarski(I, J), k3_xboole_0(k2_zfmisc_1(C, D), k2_zfmisc_1(E, F))) &  (K=k1_funct_1(k2_funct_1(k5_matrix13(C)), I) &  (L=k1_funct_1(k2_funct_1(k5_matrix13(D)), J) &  (M=k1_funct_1(k2_funct_1(k5_matrix13(E)), I) & N=k1_funct_1(k2_funct_1(k5_matrix13(F)), J)) ) ) )  => k3_matrix_0(A, G, K, L)=k3_matrix_0(A, H, M, N)) ) ) ) ) ) ) ) ) ) ) ) )  &  (! [I] :  ( (v1_matrix_0(I) &  (v2_matrix_0(I, A, k3_finseq_1(B), k1_matrix_0(B)) & m2_finseq_1(I, k3_finseq_2(A))) )  =>  ~ ( (k6_matrix13(A, I, C, D)=G &  (k6_matrix13(A, I, E, F)=H &  (! [J] :  (v7_ordinal1(J) =>  (! [K] :  (v7_ordinal1(K) =>  (r2_hidden(k4_tarski(J, K), k6_subset_1(k2_matrix_0(I), k2_xboole_0(k2_zfmisc_1(C, D), k2_zfmisc_1(E, F)))) => k3_matrix_0(A, I, J, K)=k3_matrix_0(A, B, J, K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_finset_1(C) &  (v1_setfam_1(C) & m1_subset_1(C, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [D] :  ( (v1_finset_1(D) &  (v1_setfam_1(D) & m1_subset_1(D, k1_zfmisc_1(k4_ordinal1))) )  =>  (! [E] :  ( (v1_finset_1(E) &  (v1_setfam_1(E) & m1_subset_1(E, k1_zfmisc_1(k4_ordinal1))) )  =>  (r1_tarski(k2_zfmisc_1(C, E), k2_matrix_0(B)) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ~ ( (r2_tarski(F, k7_subset_1(k4_ordinal1, k4_finseq_1(B), C)) &  (r2_tarski(G, k7_subset_1(k4_ordinal1, k2_finseq_1(k1_matrix_0(B)), D)) &  ( ~ (k3_matrix_0(u1_struct_0(A), B, F, G)=k4_struct_0(A))  &  (r1_tarski(D, E) &  (k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, u1_struct_0(A), k5_matrix13(E), k7_matrix_0(u1_struct_0(A), B, F))=k5_finseq_2(u1_struct_0(A), k4_card_1(E), k4_struct_0(A)) & r1_xxreal_0(k8_matrix13(A, B), k8_matrix13(A, k6_matrix13(u1_struct_0(A), B, C, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_finset_1(C) &  (v1_setfam_1(C) & m1_subset_1(C, k1_zfmisc_1(k4_ordinal1))) )  =>  ( (r1_tarski(C, k4_finseq_1(B)) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k7_subset_1(k4_ordinal1, k4_finseq_1(B), C)) => k7_matrix_0(u1_struct_0(A), B, D)=k5_finseq_2(u1_struct_0(A), k1_matrix_0(B), k4_struct_0(A))) ) ) )  => k8_matrix13(A, B)=k8_matrix13(A, k6_matrix13(u1_struct_0(A), B, C, k2_finseq_1(k1_matrix_0(B))))) ) ) ) ) ) ) ).
fof(t12_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_finset_1(C) &  (v1_setfam_1(C) & m1_subset_1(C, k1_zfmisc_1(k4_ordinal1))) )  =>  ( (r1_tarski(C, k2_finseq_1(k1_matrix_0(B))) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k7_subset_1(k4_ordinal1, k2_finseq_1(k1_matrix_0(B)), C)) => k8_matrix_0(u1_struct_0(A), B, D)=k5_finseq_2(u1_struct_0(A), k3_finseq_1(B), k4_struct_0(A))) ) ) )  => k8_matrix13(A, B)=k8_matrix13(A, k6_matrix13(u1_struct_0(A), B, k2_finseq_1(k3_finseq_1(B)), C))) ) ) ) ) ) ) ).
fof(t13_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_tarski(D, C) & r2_tarski(E, C))  => m1_vectsp_4(k1_vectsp_7(A, B, k4_subset_1(u1_struct_0(B), k7_subset_1(u1_struct_0(B), C, k6_domain_1(u1_struct_0(B), D)), k6_domain_1(u1_struct_0(B), k3_rlvect_1(B, D, k3_vectsp_1(A, B, F, E))))), A, k1_vectsp_7(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_tarski(D, C) & r2_tarski(E, C))  =>  ( (D=E &  (F=k4_algstr_0(A, k1_group_1(A)) &  ~ (D=k4_struct_0(B)) ) )  | k1_vectsp_7(A, B, k4_subset_1(u1_struct_0(B), k7_subset_1(u1_struct_0(B), C, k6_domain_1(u1_struct_0(B), D)), k6_domain_1(u1_struct_0(B), k3_rlvect_1(B, D, k3_vectsp_1(A, B, F, E)))))=k1_vectsp_7(A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_matrix15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, D, C, B) & m2_finseq_1(E, k3_finseq_2(D))) )  =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, D, C, A) & m2_finseq_1(F, k3_finseq_2(D))) )  =>  (! [G] :  (v7_ordinal1(G) =>  (r2_tarski(G, k2_finseq_1(C)) => k7_matrix_0(D, k1_matrix15(D, C, B, A, E, F), G)=k8_finseq_1(D, k7_matrix_0(D, E, G), k7_matrix_0(D, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_matrix15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, D, C, B) & m2_finseq_1(E, k3_finseq_2(D))) )  =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, D, C, A) & m2_finseq_1(F, k3_finseq_2(D))) )  =>  (! [G] :  (v7_ordinal1(G) =>  (r2_tarski(G, k2_finseq_1(k1_matrix_0(E))) => k8_matrix_0(D, k1_matrix15(D, C, B, A, E, F), G)=k8_matrix_0(D, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_matrix15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, D, C, B) & m2_finseq_1(E, k3_finseq_2(D))) )  =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, D, C, A) & m2_finseq_1(F, k3_finseq_2(D))) )  =>  (! [G] :  (v7_ordinal1(G) =>  (r2_tarski(G, k2_finseq_1(k1_matrix_0(F))) => k8_matrix_0(D, k1_matrix15(D, C, B, A, E, F), k2_xcmplx_0(k1_matrix_0(E), G))=k8_matrix_0(D, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_matrix15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, E, D, C) & m2_finseq_1(F, k3_finseq_2(E))) )  =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, E, D, B) & m2_finseq_1(G, k3_finseq_2(E))) )  =>  (! [H] :  (m2_finseq_1(H, E) =>  (! [I] :  (m2_finseq_1(I, E) =>  ( (k3_finseq_1(H)=k1_matrix_0(F) & k3_finseq_1(I)=k1_matrix_0(G))  => k3_matrix11(A, D, k2_xcmplx_0(k1_matrix_0(F), k1_matrix_0(G)), E, k1_matrix15(E, D, C, B, F, G), k8_finseq_1(E, H, I))=k1_matrix15(E, D, C, B, k3_matrix11(A, D, C, E, F, H), k3_matrix11(A, D, B, E, G, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_matrix15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, D, C, B) & m2_finseq_1(E, k3_finseq_2(D))) )  =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, D, C, A) & m2_finseq_1(F, k3_finseq_2(D))) )  =>  (k6_matrix13(D, k1_matrix15(D, C, B, A, E, F), k2_finseq_1(C), k2_finseq_1(k1_matrix_0(E)))=E & k6_matrix13(D, k1_matrix15(D, C, B, A, E, F), k2_finseq_1(C), k7_subset_1(k4_ordinal1, k2_finseq_1(k2_xcmplx_0(k1_matrix_0(E), k1_matrix_0(F))), k2_finseq_1(k1_matrix_0(E))))=F) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (k3_finseq_1(B)=k3_finseq_1(C) =>  (r1_xxreal_0(k8_matrix13(A, B), k8_matrix13(A, k7_matrlin(u1_struct_0(A), B, C))) & r1_xxreal_0(k8_matrix13(A, C), k8_matrix13(A, k7_matrlin(u1_struct_0(A), B, C)))) ) ) ) ) ) ) ) ).
fof(t21_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) & k3_finseq_1(B)=k8_matrix13(A, B))  => k8_matrix13(A, B)=k8_matrix13(A, k7_matrlin(u1_struct_0(A), B, C))) ) ) ) ) ) ) ).
fof(t22_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) & k1_matrix_0(B)=k5_numbers)  =>  (k7_matrlin(u1_struct_0(A), B, C)=C & k7_matrlin(u1_struct_0(A), C, B)=C) ) ) ) ) ) ) ) ).
fof(t23_matrix15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B))))  =>  (D=k1_matrix_3(B, k3_finseq_1(C), A) => k8_matrix13(B, C)=k8_matrix13(B, k7_matrlin(u1_struct_0(B), C, D))) ) ) ) ) ) ) ) ) ).
fof(t24_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  ( (k8_matrix13(A, B)=k8_matrix13(A, k7_matrlin(u1_struct_0(A), B, C)) & k3_finseq_1(B)=k3_finseq_1(C))  =>  (! [D] :  ( (v1_finset_1(D) &  (v1_setfam_1(D) & m1_subset_1(D, k1_zfmisc_1(k4_ordinal1))) )  =>  ( (r1_tarski(D, k4_finseq_1(B)) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, D) => k7_matrix_0(u1_struct_0(A), B, E)=k5_finseq_2(u1_struct_0(A), k1_matrix_0(B), k4_struct_0(A))) ) ) )  =>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, D) => k7_matrix_0(u1_struct_0(A), C, E)=k5_finseq_2(u1_struct_0(A), k1_matrix_0(C), k4_struct_0(A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_matrix15, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) => k2_matrix15(A, B)=k10_laplace(A, B)) ) ) ) ).
fof(d2_matrix15, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) => k3_matrix15(A, B)=k4_matrix_0(A, k10_laplace(A, B))) ) ) ) ).
fof(t25_matrix15, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(A)))  =>  (C=k2_matrix15(A, B) <=>  (k7_matrix_0(A, C, 1)=B & k3_finseq_1(C)=1) ) ) ) ) ) ) ) ).
fof(t26_matrix15, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(A)))  =>  ( ~ ( (k3_finseq_1(C)=k5_numbers & k3_finseq_1(B)=k5_numbers) )  =>  (C=k3_matrix15(A, B) <=>  (k8_matrix_0(A, C, 1)=B & k1_matrix_0(C)=1) ) ) ) ) ) ) ) ) ).
fof(t27_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (k3_finseq_1(B)=k3_finseq_1(C) => k3_matrix_3(A, k2_matrix15(u1_struct_0(A), B), k2_matrix15(u1_struct_0(A), C))=k2_matrix15(u1_struct_0(A), k3_fvsum_1(A, B, C))) ) ) ) ) ) ) ).
fof(t28_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (k3_finseq_1(B)=k3_finseq_1(C) => k3_matrix_3(A, k3_matrix15(u1_struct_0(A), B), k3_matrix15(u1_struct_0(A), C))=k3_matrix15(u1_struct_0(A), k3_fvsum_1(A, B, C))) ) ) ) ) ) ) ).
fof(t29_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) => k2_matrix13(1, k3_finseq_1(C), A, k2_matrix15(u1_struct_0(A), C), B)=k2_matrix15(u1_struct_0(A), k9_fvsum_1(A, C, B))) ) ) ) ) ) ).
fof(t30_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) => k2_matrix13(k3_finseq_1(C), 1, A, k3_matrix15(u1_struct_0(A), C), B)=k3_matrix15(u1_struct_0(A), k9_fvsum_1(A, C, B))) ) ) ) ) ) ).
fof(t31_matrix15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  => k2_matrix15(u1_struct_0(B), k5_finseq_2(u1_struct_0(B), A, k4_struct_0(B)))=k1_matrix_3(B, 1, A)) ) ) ) ).
fof(t32_matrix15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  => k3_matrix15(u1_struct_0(B), k5_finseq_2(u1_struct_0(B), A, k4_struct_0(B)))=k1_matrix_3(B, A, 1)) ) ) ) ).
fof(t33_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  ( ~ (v1_xboole_0(k4_matrix15(A, B, C)))  => k3_finseq_1(B)=k3_finseq_1(C)) ) ) ) ) ) ) ).
fof(t34_matrix15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B))))  =>  (! [E] :  ( (v1_matrix_0(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B))))  =>  ( (r2_tarski(E, k4_matrix15(B, C, D)) &  (r2_tarski(A, k2_finseq_1(k1_matrix_0(E))) & k8_matrix_0(u1_struct_0(B), E, A)=k5_finseq_2(u1_struct_0(B), k3_finseq_1(E), k4_struct_0(B))) )  => k8_matrix_0(u1_struct_0(B), D, A)=k5_finseq_2(u1_struct_0(B), k3_finseq_1(D), k4_struct_0(B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  (! [E] :  ( (v1_matrix_0(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(A))))  =>  (r2_tarski(E, k4_matrix15(A, C, D)) =>  (r2_tarski(k6_matrix_3(A, E, B), k4_matrix15(A, C, k6_matrix_3(A, D, B))) & r2_tarski(E, k4_matrix15(A, k6_matrix_3(A, C, B), k6_matrix_3(A, D, B)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  ( ~ (B=k4_struct_0(A))  => k4_matrix15(A, C, D)=k4_matrix15(A, k6_matrix_3(A, C, B), k6_matrix_3(A, D, B))) ) ) ) ) ) ) ) ) ).
fof(t37_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  (! [E] :  ( (v1_matrix_0(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(A))))  =>  (! [F] :  ( (v1_matrix_0(F) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(A))))  =>  ( (r2_tarski(E, k4_matrix15(A, B, C)) &  (r2_tarski(F, k4_matrix15(A, B, D)) & k1_matrix_0(C)=k1_matrix_0(D)) )  => r2_tarski(k3_matrix_3(A, E, F), k4_matrix15(A, B, k3_matrix_3(A, C, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_matrix15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v6_struct_0(E))  &  (v13_algstr_0(E) &  (v33_algstr_0(E) &  (v3_group_1(E) &  (v5_group_1(E) &  (v4_vectsp_1(E) &  (v5_vectsp_1(E) &  (v2_rlvect_1(E) &  (v3_rlvect_1(E) &  (v4_rlvect_1(E) & l6_algstr_0(E)) ) ) ) ) ) ) ) ) ) )  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(E)) =>  (! [G] :  ( (v1_matrix_0(G) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(E))))  =>  (! [H] :  ( (v1_matrix_0(H) &  (v2_matrix_0(H, u1_struct_0(E), C, D) & m2_finseq_1(H, k3_finseq_2(u1_struct_0(E)))) )  =>  (! [I] :  ( (v1_matrix_0(I) &  (v2_matrix_0(I, u1_struct_0(E), C, B) & m2_finseq_1(I, k3_finseq_2(u1_struct_0(E)))) )  =>  (r2_tarski(G, k4_matrix15(E, H, I)) => r2_tarski(G, k4_matrix15(E, k3_matrix11(A, C, D, u1_struct_0(E), H, k10_fvsum_1(k1_matrix_0(H), E, k7_matrix_0(u1_struct_0(E), H, A), F)), k3_matrix11(A, C, B, u1_struct_0(E), I, k10_fvsum_1(k1_matrix_0(I), E, k7_matrix_0(u1_struct_0(E), I, A), F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_matrix15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  ( ~ (v6_struct_0(F))  &  (v13_algstr_0(F) &  (v33_algstr_0(F) &  (v3_group_1(F) &  (v5_group_1(F) &  (v4_vectsp_1(F) &  (v5_vectsp_1(F) &  (v2_rlvect_1(F) &  (v3_rlvect_1(F) &  (v4_rlvect_1(F) & l6_algstr_0(F)) ) ) ) ) ) ) ) ) ) )  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(F)) =>  (! [H] :  ( (v1_matrix_0(H) & m2_finseq_1(H, k3_finseq_2(u1_struct_0(F))))  =>  (! [I] :  ( (v1_matrix_0(I) &  (v2_matrix_0(I, u1_struct_0(F), D, E) & m2_finseq_1(I, k3_finseq_2(u1_struct_0(F)))) )  =>  (! [J] :  ( (v1_matrix_0(J) &  (v2_matrix_0(J, u1_struct_0(F), D, C) & m2_finseq_1(J, k3_finseq_2(u1_struct_0(F)))) )  =>  ( (r2_tarski(H, k4_matrix15(F, I, J)) & r2_tarski(B, k2_finseq_1(D)))  => r2_tarski(H, k4_matrix15(F, k3_matrix11(A, D, E, u1_struct_0(F), I, k4_fvsum_1(k1_matrix_0(I), F, k7_matrix_0(u1_struct_0(F), I, A), k10_fvsum_1(k1_matrix_0(I), F, k7_matrix_0(u1_struct_0(F), I, B), G))), k3_matrix11(A, D, C, u1_struct_0(F), J, k4_fvsum_1(k1_matrix_0(J), F, k7_matrix_0(u1_struct_0(F), J, A), k10_fvsum_1(k1_matrix_0(J), F, k7_matrix_0(u1_struct_0(F), J, B), G)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_matrix15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  ( ~ (v6_struct_0(F))  &  (v13_algstr_0(F) &  (v33_algstr_0(F) &  (v3_group_1(F) &  (v5_group_1(F) &  (v4_vectsp_1(F) &  (v5_vectsp_1(F) &  (v2_rlvect_1(F) &  (v3_rlvect_1(F) &  (v4_rlvect_1(F) & l6_algstr_0(F)) ) ) ) ) ) ) ) ) ) )  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(F)) =>  (! [H] :  ( (v1_matrix_0(H) &  (v2_matrix_0(H, u1_struct_0(F), D, E) & m2_finseq_1(H, k3_finseq_2(u1_struct_0(F)))) )  =>  (! [I] :  ( (v1_matrix_0(I) &  (v2_matrix_0(I, u1_struct_0(F), D, C) & m2_finseq_1(I, k3_finseq_2(u1_struct_0(F)))) )  =>  (r2_tarski(B, k2_finseq_1(D)) =>  ( (A=B & G=k4_algstr_0(F, k1_group_1(F)))  | k4_matrix15(F, H, I)=k4_matrix15(F, k3_matrix11(A, D, E, u1_struct_0(F), H, k4_fvsum_1(k1_matrix_0(H), F, k7_matrix_0(u1_struct_0(F), H, A), k10_fvsum_1(k1_matrix_0(H), F, k7_matrix_0(u1_struct_0(F), H, B), G))), k3_matrix11(A, D, C, u1_struct_0(F), I, k4_fvsum_1(k1_matrix_0(I), F, k7_matrix_0(u1_struct_0(F), I, A), k10_fvsum_1(k1_matrix_0(I), F, k7_matrix_0(u1_struct_0(F), I, B), G))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_matrix15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B))))  =>  (! [E] :  ( (v1_matrix_0(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B))))  =>  ( (r2_tarski(E, k4_matrix15(B, C, D)) &  (r2_tarski(A, k4_finseq_1(C)) & k7_matrix_0(u1_struct_0(B), C, A)=k5_finseq_2(u1_struct_0(B), k1_matrix_0(C), k4_struct_0(B))) )  => k7_matrix_0(u1_struct_0(B), D, A)=k5_finseq_2(u1_struct_0(B), k1_matrix_0(D), k4_struct_0(B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_matrix15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B))))  =>  (! [E] :  (m2_finseq_2(E, k4_ordinal1, k4_finseq_2(A, k4_ordinal1)) =>  (r1_tarski(k10_xtuple_0(E), k4_finseq_1(C)) =>  (r1_xxreal_0(A, k5_numbers) | r1_tarski(k4_matrix15(B, C, D), k4_matrix15(B, k1_matrix13(u1_struct_0(B), C, A, k4_card_1(k2_finseq_1(k1_matrix_0(C))), E, k5_matrix13(k2_finseq_1(k1_matrix_0(C)))), k1_matrix13(u1_struct_0(B), D, A, k4_card_1(k2_finseq_1(k1_matrix_0(D))), E, k5_matrix13(k2_finseq_1(k1_matrix_0(D))))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_matrix15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B))))  =>  (! [E] :  (m2_finseq_2(E, k4_ordinal1, k4_finseq_2(A, k4_ordinal1)) =>  ( (r1_tarski(k10_xtuple_0(E), k4_finseq_1(C)) &  (k4_finseq_1(C)=k4_finseq_1(D) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k7_subset_1(k4_ordinal1, k4_finseq_1(C), k10_xtuple_0(E))) =>  (k7_matrix_0(u1_struct_0(B), C, F)=k5_finseq_2(u1_struct_0(B), k1_matrix_0(C), k4_struct_0(B)) & k7_matrix_0(u1_struct_0(B), D, F)=k5_finseq_2(u1_struct_0(B), k1_matrix_0(D), k4_struct_0(B))) ) ) ) ) )  =>  (r1_xxreal_0(A, k5_numbers) | k4_matrix15(B, C, D)=k4_matrix15(B, k1_matrix13(u1_struct_0(B), C, A, k4_card_1(k2_finseq_1(k1_matrix_0(C))), E, k5_matrix13(k2_finseq_1(k1_matrix_0(C)))), k1_matrix13(u1_struct_0(B), D, A, k4_card_1(k2_finseq_1(k1_matrix_0(D))), E, k5_matrix13(k2_finseq_1(k1_matrix_0(D)))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_finset_1(D) &  (v1_setfam_1(D) & m1_subset_1(D, k1_zfmisc_1(k4_ordinal1))) )  =>  (r1_tarski(D, k4_finseq_1(B)) =>  (v1_xboole_0(D) | r1_tarski(k4_matrix15(A, B, C), k4_matrix15(A, k6_matrix13(u1_struct_0(A), B, D, k2_finseq_1(k1_matrix_0(B))), k6_matrix13(u1_struct_0(A), C, D, k2_finseq_1(k1_matrix_0(C)))))) ) ) ) ) ) ) ) ) ) ).
fof(t45_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_finset_1(D) &  (v1_setfam_1(D) & m1_subset_1(D, k1_zfmisc_1(k4_ordinal1))) )  =>  ( (r1_tarski(D, k4_finseq_1(B)) &  (k4_finseq_1(B)=k4_finseq_1(C) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k7_subset_1(k4_ordinal1, k4_finseq_1(B), D)) =>  (k7_matrix_0(u1_struct_0(A), B, E)=k5_finseq_2(u1_struct_0(A), k1_matrix_0(B), k4_struct_0(A)) & k7_matrix_0(u1_struct_0(A), C, E)=k5_finseq_2(u1_struct_0(A), k1_matrix_0(C), k4_struct_0(A))) ) ) ) ) )  =>  (v1_xboole_0(D) | k4_matrix15(A, B, C)=k4_matrix15(A, k6_matrix13(u1_struct_0(A), B, D, k2_finseq_1(k1_matrix_0(B))), k6_matrix13(u1_struct_0(A), C, D, k2_finseq_1(k1_matrix_0(C))))) ) ) ) ) ) ) ) ) ) ).
fof(t46_matrix15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B))))  =>  (r2_tarski(A, k4_finseq_1(C)) =>  (r1_xxreal_0(k3_finseq_1(C), 1) | r1_tarski(k4_matrix15(B, C, D), k4_matrix15(B, k17_matrix_0(u1_struct_0(B), A, C), k17_matrix_0(u1_struct_0(B), A, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t47_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(D, k4_finseq_1(B)) &  (k7_matrix_0(u1_struct_0(A), B, D)=k5_finseq_2(u1_struct_0(A), k1_matrix_0(B), k4_struct_0(A)) &  (r2_tarski(D, k4_finseq_1(C)) & k7_matrix_0(u1_struct_0(A), C, D)=k5_finseq_2(u1_struct_0(A), k1_matrix_0(C), k4_struct_0(A))) ) )  =>  (r1_xxreal_0(k3_finseq_1(B), 1) | k4_matrix15(A, B, C)=k4_matrix15(A, k17_matrix_0(u1_struct_0(A), D, B), k17_matrix_0(u1_struct_0(A), D, C))) ) ) ) ) ) ) ) ) ) ).
fof(t48_matrix15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v6_struct_0(D))  &  (v13_algstr_0(D) &  (v33_algstr_0(D) &  (v3_group_1(D) &  (v5_group_1(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(D), C, B) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(D)))) )  =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(D), C, A) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(D)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_finseq_1(C), k2_finseq_1(C)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(C), k2_finseq_1(C))))) )  =>  (r1_tarski(k4_matrix15(D, E, F), k4_matrix15(D, k4_matrix11(C, B, u1_struct_0(D), G, E), k4_matrix11(C, A, u1_struct_0(D), G, F))) &  (v2_funct_1(G) => k4_matrix15(D, E, F)=k4_matrix15(D, k4_matrix11(C, B, u1_struct_0(D), G, E), k4_matrix11(C, A, u1_struct_0(D), G, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_matrix15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), B, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  =>  (! [E] :  ( (v1_finset_1(E) &  (v1_setfam_1(E) & m1_subset_1(E, k1_zfmisc_1(k4_ordinal1))) )  =>  ~ ( (k4_card_1(E)=B &  (r1_tarski(E, k2_finseq_1(A)) &  (k6_matrix13(u1_struct_0(C), D, k2_finseq_1(B), E)=k3_matrix_1(C, B) &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(C), k7_nat_d(A, B), A) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(C)))) )  =>  ~ ( (k6_matrix13(u1_struct_0(C), F, k2_finseq_1(k7_nat_d(A, B)), k7_subset_1(k4_ordinal1, k2_finseq_1(A), E))=k3_matrix_1(C, k7_nat_d(A, B)) &  (k6_matrix13(u1_struct_0(C), F, k2_finseq_1(k7_nat_d(A, B)), E)=k2_matrix_3(C, k4_matrix_0(u1_struct_0(C), k6_matrix13(u1_struct_0(C), D, k2_finseq_1(B), k7_subset_1(k4_ordinal1, k2_finseq_1(A), E)))) &  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  ( (v1_matrix_0(H) &  (v2_matrix_0(H, u1_struct_0(C), A, G) & m2_finseq_1(H, k3_finseq_2(u1_struct_0(C)))) )  =>  ( (! [I] :  (v7_ordinal1(I) =>  ~ ( (r2_tarski(I, k2_finseq_1(G)) &  ( (! [J] :  (v7_ordinal1(J) =>  ~ ( (r2_tarski(J, k2_finseq_1(k7_nat_d(A, B))) & k8_matrix_0(u1_struct_0(C), H, I)=k7_matrix_0(u1_struct_0(C), F, J)) ) ) )  &  ~ (k8_matrix_0(u1_struct_0(C), H, I)=k5_finseq_2(u1_struct_0(C), A, k4_struct_0(C))) ) ) ) ) )  => r2_tarski(H, k4_matrix15(C, D, k1_matrix_3(C, B, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_matrix15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v6_struct_0(D))  &  (v13_algstr_0(D) &  (v33_algstr_0(D) &  (v3_group_1(D) &  (v5_group_1(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(D), C, B) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(D)))) )  =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(D), C, A) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(D)))) )  =>  (! [G] :  ( (v1_finset_1(G) &  (v1_setfam_1(G) & m1_subset_1(G, k1_zfmisc_1(k4_ordinal1))) )  =>  ~ ( (k4_card_1(G)=C &  (r1_tarski(G, k2_finseq_1(B)) &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  (k6_matrix13(u1_struct_0(D), E, k2_finseq_1(C), G)=k3_matrix_1(D, C) &  (! [H] :  ( (v1_matrix_0(H) &  (v2_matrix_0(H, u1_struct_0(D), B, A) & m2_finseq_1(H, k3_finseq_2(u1_struct_0(D)))) )  =>  ~ ( (k6_matrix13(u1_struct_0(D), H, k7_subset_1(k4_ordinal1, k2_finseq_1(B), G), k2_finseq_1(A))=k1_matrix_3(D, k7_nat_d(B, C), A) &  (k6_matrix13(u1_struct_0(D), H, G, k2_finseq_1(A))=F & r2_tarski(H, k4_matrix15(D, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_matrix15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), k5_numbers, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(C), k5_numbers, A) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(C)))) )  => k4_matrix15(C, D, E)=k1_tarski(k1_xboole_0)) ) ) ) ) ) ) ) ) ) ).
fof(t52_matrix15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(C))))  =>  ( ~ (v1_xboole_0(k4_matrix15(C, k1_matrix_3(C, B, A), D)))  => D=k1_matrix_3(C, B, k1_matrix_0(D))) ) ) ) ) ) ) ) ) ).
fof(t53_matrix15, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v6_struct_0(E))  &  (v13_algstr_0(E) &  (v33_algstr_0(E) &  (v3_group_1(E) &  (v5_group_1(E) &  (v4_vectsp_1(E) &  (v5_vectsp_1(E) &  (v2_rlvect_1(E) &  (v3_rlvect_1(E) &  (v4_rlvect_1(E) & l6_algstr_0(E)) ) ) ) ) ) ) ) ) ) )  =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(E), D, B) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(E)))) )  =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, u1_struct_0(E), D, C) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(E)))) )  =>  (r2_tarski(A, k4_matrix15(E, F, G)) =>  (r1_xxreal_0(D, k5_numbers) |  (v1_matrix_0(A) &  (v2_matrix_0(A, u1_struct_0(E), B, C) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_matrix15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  ( ~ (v1_xboole_0(k4_matrix15(C, k1_matrix_3(C, B, k5_numbers), k1_matrix_3(C, B, A))))  &  ~ (A=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t56_matrix15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  => k4_matrix15(B, k1_matrix_3(B, A, k5_numbers), k1_matrix_3(B, A, k5_numbers))=k1_tarski(k1_xboole_0)) ) ) ) ).
fof(t57_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (k3_finseq_1(B)=k3_finseq_1(C) =>  ( (k1_matrix_0(B)=k5_numbers &  ~ (k1_matrix_0(C)=k5_numbers) )  |  (k8_matrix13(A, B)=k8_matrix13(A, k7_matrlin(u1_struct_0(A), B, C)) <=>  ~ (v1_xboole_0(k4_matrix15(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t58_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  ~ ( (r2_tarski(D, k4_matrix15(A, B, k3_matrix15(u1_struct_0(A), C))) &  (! [E] :  (m2_finseq_1(E, u1_struct_0(A)) =>  ~ ( (D=k3_matrix15(u1_struct_0(A), E) & k3_finseq_1(E)=k1_matrix_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (r2_tarski(k3_matrix15(u1_struct_0(A), D), k4_matrix15(A, B, k3_matrix15(u1_struct_0(A), C))) => k3_finseq_1(D)=k1_matrix_0(B)) ) ) ) ) ) ) ) ) ).
fof(t60_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (k1_matrix_0(B)=k5_numbers =>  (v1_xboole_0(k6_matrix15(A, B, C)) | k3_finseq_1(B)=k5_numbers) ) ) ) ) ) ) ) ).
fof(t61_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  ~ ( ( ~ ( (k1_matrix_0(B)=k5_numbers &  ~ (k3_finseq_1(B)=k5_numbers) ) )  & v1_xboole_0(k6_matrix15(A, B, k5_finseq_2(u1_struct_0(A), k3_finseq_1(B), k4_struct_0(A))))) ) ) ) ) ) ).
fof(d5_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  ( (k1_matrix_0(B)=k5_numbers => k3_finseq_1(B)=k5_numbers)  =>  (! [C] :  ( (v7_vectsp_1(C, A) & m1_vectsp_4(C, A, k6_prvect_1(A, k1_matrix_0(B))))  =>  (C=k7_matrix15(A, B) <=> u1_struct_0(C)=k6_matrix15(A, B, k5_finseq_2(u1_struct_0(A), k3_finseq_1(B), k4_struct_0(A)))) ) ) ) ) ) ) ) ).
fof(t62_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  ( ~ (v1_xboole_0(k6_matrix15(A, B, C)))  => m2_vectsp_4(k6_matrix15(A, B, C), A, k6_prvect_1(A, k1_matrix_0(B)), k7_matrix15(A, B))) ) ) ) ) ) ) ).
fof(t63_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (k8_matrix13(A, B)=k5_numbers =>  ( (k1_matrix_0(B)=k5_numbers &  ~ (k3_finseq_1(B)=k5_numbers) )  | k7_matrix15(A, B)=k6_prvect_1(A, k1_matrix_0(B))) ) ) ) ) ) ).
fof(t64_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (k7_matrix15(A, B)=k6_prvect_1(A, k1_matrix_0(B)) => k8_matrix13(A, B)=k5_numbers) ) ) ) ) ).
fof(t65_matrix15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(C), A, B) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(C)))) )  =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  (r2_tarski(G, k2_finseq_1(A)) =>  (r1_xxreal_0(B, k5_numbers) |  ( (F=G & D=k4_algstr_0(C, k1_group_1(C)))  | k7_matrix15(C, E)=k7_matrix15(C, k3_matrix11(F, A, B, u1_struct_0(C), E, k4_fvsum_1(k1_matrix_0(E), C, k7_matrix_0(u1_struct_0(C), E, F), k10_fvsum_1(k1_matrix_0(E), C, k7_matrix_0(u1_struct_0(C), E, G), D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_finset_1(C) &  (v1_setfam_1(C) & m1_subset_1(C, k1_zfmisc_1(k4_ordinal1))) )  =>  ( (r1_tarski(C, k4_finseq_1(B)) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k7_subset_1(k4_ordinal1, k4_finseq_1(B), C)) => k7_matrix_0(u1_struct_0(A), B, D)=k5_finseq_2(u1_struct_0(A), k1_matrix_0(B), k4_struct_0(A))) ) ) )  =>  (v1_xboole_0(C) |  (r1_xxreal_0(k1_matrix_0(B), k5_numbers) | k7_matrix15(A, B)=k7_matrix15(A, k6_matrix13(u1_struct_0(A), B, C, k2_finseq_1(k1_matrix_0(B))))) ) ) ) ) ) ) ) ) ).
fof(t67_matrix15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), B, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  =>  (! [E] :  ( (v1_finset_1(E) &  (v1_setfam_1(E) & m1_subset_1(E, k1_zfmisc_1(k4_ordinal1))) )  =>  ~ ( (k4_card_1(E)=B &  (r1_tarski(E, k2_finseq_1(A)) &  (k6_matrix13(u1_struct_0(C), D, k2_finseq_1(B), E)=k3_matrix_1(C, B) &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  ( ~ (r1_xxreal_0(k7_nat_d(A, B), k5_numbers))  &  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(C), k7_nat_d(A, B), A) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(C)))) )  =>  ~ ( (k6_matrix13(u1_struct_0(C), F, k2_finseq_1(k7_nat_d(A, B)), k7_subset_1(k4_ordinal1, k2_finseq_1(A), E))=k3_matrix_1(C, k7_nat_d(A, B)) &  (k6_matrix13(u1_struct_0(C), F, k2_finseq_1(k7_nat_d(A, B)), E)=k2_matrix_3(C, k4_matrix_0(u1_struct_0(C), k6_matrix13(u1_struct_0(C), D, k2_finseq_1(B), k7_subset_1(k4_ordinal1, k2_finseq_1(A), E)))) & k1_vectsp_7(C, k6_prvect_1(C, A), k9_matrix13(C, k7_nat_d(A, B), A, F))=k7_matrix15(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  ( (k1_matrix_0(B)=k5_numbers => k3_finseq_1(B)=k5_numbers)  => k1_vectsp_9(A, k7_matrix15(A, B))=k6_xcmplx_0(k1_matrix_0(B), k8_matrix13(A, B))) ) ) ) ) ).
fof(t69_matrix15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), B, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(C)) =>  ( (v2_funct_1(D) & r2_tarski(F, k4_finseq_1(D)))  =>  ( (E=F & G=k4_algstr_0(C, k1_group_1(C)))  | k1_vectsp_7(C, k6_prvect_1(C, A), k9_matrix13(C, B, A, D))=k1_vectsp_7(C, k6_prvect_1(C, A), k9_matrix13(C, B, A, k3_matrix11(E, B, A, u1_struct_0(C), D, k4_fvsum_1(k1_matrix_0(D), C, k7_matrix_0(u1_struct_0(C), D, E), k10_fvsum_1(k1_matrix_0(D), C, k7_matrix_0(u1_struct_0(C), D, F), G)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_matrix15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, B, k6_prvect_1(B, A)) =>  (? [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), k1_vectsp_9(B, C), A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  &  (? [E] :  ( (v1_finset_1(E) &  (v1_setfam_1(E) & m1_subset_1(E, k1_zfmisc_1(k4_ordinal1))) )  &  (r1_tarski(E, k2_finseq_1(A)) &  (k1_vectsp_9(B, C)=k4_card_1(E) &  (k6_matrix13(u1_struct_0(B), D, k2_finseq_1(k1_vectsp_9(B, C)), E)=k3_matrix_1(B, k1_vectsp_9(B, C)) &  (k8_matrix13(B, D)=k1_vectsp_9(B, C) &  (v2_vectsp_7(k9_matrix13(B, k1_vectsp_9(B, C), A, D), B, C) & m1_subset_1(k9_matrix13(B, k1_vectsp_9(B, C), A, D), k1_zfmisc_1(u1_struct_0(C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_matrix15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v7_vectsp_1(C, B) & m1_vectsp_4(C, B, k6_prvect_1(B, A)))  =>  ~ ( ( ~ (r1_xxreal_0(A, k1_vectsp_9(B, C)))  &  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), k7_nat_d(A, k1_vectsp_9(B, C)), A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [E] :  ( (v1_finset_1(E) &  (v1_setfam_1(E) & m1_subset_1(E, k1_zfmisc_1(k4_ordinal1))) )  =>  ~ ( (k4_card_1(E)=k7_nat_d(A, k1_vectsp_9(B, C)) &  (r1_tarski(E, k2_finseq_1(A)) &  (k6_matrix13(u1_struct_0(B), D, k2_finseq_1(k7_nat_d(A, k1_vectsp_9(B, C))), E)=k3_matrix_1(B, k7_nat_d(A, k1_vectsp_9(B, C))) & C=k7_matrix15(B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t72_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (k1_matrix_0(B)=k3_finseq_1(C) =>  ( (k1_matrix_0(B)=k5_numbers &  ~ (k3_finseq_1(B)=k5_numbers) )  |  ( (k1_matrix_0(C)=k5_numbers &  ~ (k3_finseq_1(C)=k5_numbers) )  | m1_vectsp_4(k7_matrix15(A, C), A, k7_matrix15(A, k4_matrix_3(A, B, C)))) ) ) ) ) ) ) ) ) ).
fof(t73_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (k1_matrix_0(B)=k3_finseq_1(C) =>  (r1_xxreal_0(k8_matrix13(A, k4_matrix_3(A, B, C)), k8_matrix13(A, B)) & r1_xxreal_0(k8_matrix13(A, k4_matrix_3(A, B, C)), k8_matrix13(A, C))) ) ) ) ) ) ) ) ).
fof(t74_matrix15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B))))  =>  (k1_matrix_0(C)=k3_finseq_1(D) =>  (k12_matrix_3(A, B, C)=k4_struct_0(B) |  ( (k1_matrix_0(D)=k5_numbers &  ~ (k3_finseq_1(D)=k5_numbers) )  | k7_matrix15(B, D)=k7_matrix15(B, k4_matrix_3(B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_matrix15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B))))  =>  (k1_matrix_0(C)=k3_finseq_1(D) =>  (k12_matrix_3(A, B, C)=k4_struct_0(B) | k8_matrix13(B, k4_matrix_3(B, C, D))=k8_matrix13(B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t76_matrix15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B))))  =>  (k3_finseq_1(C)=k1_matrix_0(D) =>  (k12_matrix_3(A, B, C)=k4_struct_0(B) | k8_matrix13(B, k4_matrix_3(B, D, C))=k8_matrix13(B, D)) ) ) ) ) ) ) ) ) ) ).
fof(s1_matrix15, axiom,  ( (p1_s1_matrix15(f5_s1_matrix15, f6_s1_matrix15) &  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, u1_struct_0(f1_s1_matrix15), f2_s1_matrix15, f3_s1_matrix15) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(f1_s1_matrix15)))) )  =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, u1_struct_0(f1_s1_matrix15), f2_s1_matrix15, f4_s1_matrix15) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(f1_s1_matrix15)))) )  =>  (p1_s1_matrix15(A, B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(A)) =>  (C=D |  (! [E] :  (m1_subset_1(E, u1_struct_0(f1_s1_matrix15)) => p1_s1_matrix15(k3_matrix11(C, f2_s1_matrix15, f3_s1_matrix15, u1_struct_0(f1_s1_matrix15), A, k4_fvsum_1(k1_matrix_0(A), f1_s1_matrix15, k7_matrix_0(u1_struct_0(f1_s1_matrix15), A, C), k10_fvsum_1(k1_matrix_0(A), f1_s1_matrix15, k7_matrix_0(u1_struct_0(f1_s1_matrix15), A, D), E))), f7_s1_matrix15(B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (? [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, u1_struct_0(f1_s1_matrix15), f2_s1_matrix15, f3_s1_matrix15) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(f1_s1_matrix15)))) )  &  (? [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, u1_struct_0(f1_s1_matrix15), f2_s1_matrix15, f4_s1_matrix15) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(f1_s1_matrix15)))) )  &  (? [C] :  ( (v1_finset_1(C) &  (v1_setfam_1(C) & m1_subset_1(C, k1_zfmisc_1(k4_ordinal1))) )  &  (r1_tarski(C, k2_finseq_1(f3_s1_matrix15)) &  (k8_matrix13(f1_s1_matrix15, f5_s1_matrix15)=k8_matrix13(f1_s1_matrix15, A) &  (k8_matrix13(f1_s1_matrix15, f5_s1_matrix15)=k4_card_1(C) &  (p1_s1_matrix15(A, B) &  (v1_matrix_1(k6_matrix13(u1_struct_0(f1_s1_matrix15), A, k2_finseq_1(k4_card_1(C)), C), f1_s1_matrix15) &  ( (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(D, k2_finseq_1(k4_card_1(C))) & k3_matrix_0(u1_struct_0(f1_s1_matrix15), A, D, k7_partfun1(k4_ordinal1, k5_matrix13(C), D))=k4_struct_0(f1_s1_matrix15)) ) ) )  &  ( (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(A)) =>  (r1_xxreal_0(D, k4_card_1(C)) | k7_matrix_0(u1_struct_0(f1_s1_matrix15), A, D)=k5_finseq_2(u1_struct_0(f1_s1_matrix15), f3_s1_matrix15, k4_struct_0(f1_s1_matrix15))) ) ) )  &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(D, k2_finseq_1(k4_card_1(C))) & r2_tarski(E, k2_finseq_1(k1_matrix_0(A))))  =>  (r1_xxreal_0(k1_funct_1(k5_matrix13(C), D), E) | k3_matrix_0(u1_struct_0(f1_s1_matrix15), A, D, E)=k4_struct_0(f1_s1_matrix15)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s2_matrix15, axiom,  ( (p1_s2_matrix15(f5_s2_matrix15, f6_s2_matrix15) &  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, u1_struct_0(f1_s2_matrix15), f2_s2_matrix15, f3_s2_matrix15) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(f1_s2_matrix15)))) )  =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, u1_struct_0(f1_s2_matrix15), f2_s2_matrix15, f4_s2_matrix15) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(f1_s2_matrix15)))) )  =>  (p1_s2_matrix15(A, B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(f1_s2_matrix15)) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(A)) =>  ( (D=E & C=k4_algstr_0(f1_s2_matrix15, k1_group_1(f1_s2_matrix15)))  | p1_s2_matrix15(k3_matrix11(D, f2_s2_matrix15, f3_s2_matrix15, u1_struct_0(f1_s2_matrix15), A, k4_fvsum_1(k1_matrix_0(A), f1_s2_matrix15, k7_matrix_0(u1_struct_0(f1_s2_matrix15), A, D), k10_fvsum_1(k1_matrix_0(A), f1_s2_matrix15, k7_matrix_0(u1_struct_0(f1_s2_matrix15), A, E), C))), f7_s2_matrix15(B, D, E, C))) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (? [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, u1_struct_0(f1_s2_matrix15), f2_s2_matrix15, f3_s2_matrix15) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(f1_s2_matrix15)))) )  &  (? [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, u1_struct_0(f1_s2_matrix15), f2_s2_matrix15, f4_s2_matrix15) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(f1_s2_matrix15)))) )  &  (? [C] :  ( (v1_finset_1(C) &  (v1_setfam_1(C) & m1_subset_1(C, k1_zfmisc_1(k4_ordinal1))) )  &  (r1_tarski(C, k2_finseq_1(f3_s2_matrix15)) &  (k8_matrix13(f1_s2_matrix15, f5_s2_matrix15)=k8_matrix13(f1_s2_matrix15, A) &  (k8_matrix13(f1_s2_matrix15, f5_s2_matrix15)=k4_card_1(C) &  (p1_s2_matrix15(A, B) &  (k6_matrix13(u1_struct_0(f1_s2_matrix15), A, k2_finseq_1(k4_card_1(C)), C)=k3_matrix_1(f1_s2_matrix15, k4_card_1(C)) &  ( (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(A)) =>  (r1_xxreal_0(D, k4_card_1(C)) | k7_matrix_0(u1_struct_0(f1_s2_matrix15), A, D)=k5_finseq_2(u1_struct_0(f1_s2_matrix15), f3_s2_matrix15, k4_struct_0(f1_s2_matrix15))) ) ) )  &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(D, k2_finseq_1(k4_card_1(C))) & r2_tarski(E, k2_finseq_1(k1_matrix_0(A))))  =>  (r1_xxreal_0(k1_funct_1(k5_matrix13(C), D), E) | k3_matrix_0(u1_struct_0(f1_s2_matrix15), A, D, E)=k4_struct_0(f1_s2_matrix15)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_matrix15, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  (v7_ordinal1(D) &  ( (v1_matrix_0(E) &  (v2_matrix_0(E, A, B, C) & m1_finseq_1(E, k3_finseq_2(A))) )  &  (v1_matrix_0(F) &  (v2_matrix_0(F, A, B, D) & m1_finseq_1(F, k3_finseq_2(A))) ) ) ) ) ) )  =>  (v1_matrix_0(k1_matrix15(A, B, C, D, E, F)) &  (v2_matrix_0(k1_matrix15(A, B, C, D, E, F), A, B, k2_xcmplx_0(k1_matrix_0(E), k1_matrix_0(F))) & m2_finseq_1(k1_matrix15(A, B, C, D, E, F), k3_finseq_2(A))) ) ) ) ).
fof(redefinition_k1_matrix15, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  (v7_ordinal1(D) &  ( (v1_matrix_0(E) &  (v2_matrix_0(E, A, B, C) & m1_finseq_1(E, k3_finseq_2(A))) )  &  (v1_matrix_0(F) &  (v2_matrix_0(F, A, B, D) & m1_finseq_1(F, k3_finseq_2(A))) ) ) ) ) ) )  => k1_matrix15(A, B, C, D, E, F)=k8_pre_poly(E, F)) ) ).
fof(dt_k2_matrix15, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(B, A))  =>  (v1_matrix_0(k2_matrix15(A, B)) &  (v2_matrix_0(k2_matrix15(A, B), A, 1, k3_finseq_1(B)) & m2_finseq_1(k2_matrix15(A, B), k3_finseq_2(A))) ) ) ) ).
fof(dt_k3_matrix15, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(B, A))  =>  (v1_matrix_0(k3_matrix15(A, B)) &  (v2_matrix_0(k3_matrix15(A, B), A, k3_finseq_1(B), 1) & m2_finseq_1(k3_matrix15(A, B), k3_finseq_2(A))) ) ) ) ).
fof(dt_f1_s1_matrix15, axiom,  ( ~ (v2_struct_0(f1_s1_matrix15))  &  ( ~ (v6_struct_0(f1_s1_matrix15))  &  (v13_algstr_0(f1_s1_matrix15) &  (v33_algstr_0(f1_s1_matrix15) &  (v3_group_1(f1_s1_matrix15) &  (v5_group_1(f1_s1_matrix15) &  (v4_vectsp_1(f1_s1_matrix15) &  (v5_vectsp_1(f1_s1_matrix15) &  (v2_rlvect_1(f1_s1_matrix15) &  (v3_rlvect_1(f1_s1_matrix15) &  (v4_rlvect_1(f1_s1_matrix15) & l6_algstr_0(f1_s1_matrix15)) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_f2_s1_matrix15, axiom, v7_ordinal1(f2_s1_matrix15)).
fof(dt_f3_s1_matrix15, axiom, v7_ordinal1(f3_s1_matrix15)).
fof(dt_f4_s1_matrix15, axiom, v7_ordinal1(f4_s1_matrix15)).
fof(dt_f5_s1_matrix15, axiom,  (v1_matrix_0(f5_s1_matrix15) &  (v2_matrix_0(f5_s1_matrix15, u1_struct_0(f1_s1_matrix15), f2_s1_matrix15, f3_s1_matrix15) & m2_finseq_1(f5_s1_matrix15, k3_finseq_2(u1_struct_0(f1_s1_matrix15)))) ) ).
fof(dt_f6_s1_matrix15, axiom,  (v1_matrix_0(f6_s1_matrix15) &  (v2_matrix_0(f6_s1_matrix15, u1_struct_0(f1_s1_matrix15), f2_s1_matrix15, f4_s1_matrix15) & m2_finseq_1(f6_s1_matrix15, k3_finseq_2(u1_struct_0(f1_s1_matrix15)))) ) ).
fof(dt_f7_s1_matrix15, axiom,  (! [A, B, C, D] :  (v1_matrix_0(f7_s1_matrix15(A, B, C, D)) &  (v2_matrix_0(f7_s1_matrix15(A, B, C, D), u1_struct_0(f1_s1_matrix15), f2_s1_matrix15, f4_s1_matrix15) & m2_finseq_1(f7_s1_matrix15(A, B, C, D), k3_finseq_2(u1_struct_0(f1_s1_matrix15)))) ) ) ).
fof(dt_f1_s2_matrix15, axiom,  ( ~ (v2_struct_0(f1_s2_matrix15))  &  ( ~ (v6_struct_0(f1_s2_matrix15))  &  (v13_algstr_0(f1_s2_matrix15) &  (v33_algstr_0(f1_s2_matrix15) &  (v3_group_1(f1_s2_matrix15) &  (v5_group_1(f1_s2_matrix15) &  (v4_vectsp_1(f1_s2_matrix15) &  (v5_vectsp_1(f1_s2_matrix15) &  (v2_rlvect_1(f1_s2_matrix15) &  (v3_rlvect_1(f1_s2_matrix15) &  (v4_rlvect_1(f1_s2_matrix15) & l6_algstr_0(f1_s2_matrix15)) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_f2_s2_matrix15, axiom, v7_ordinal1(f2_s2_matrix15)).
fof(dt_f3_s2_matrix15, axiom, v7_ordinal1(f3_s2_matrix15)).
fof(dt_f4_s2_matrix15, axiom, v7_ordinal1(f4_s2_matrix15)).
fof(dt_f5_s2_matrix15, axiom,  (v1_matrix_0(f5_s2_matrix15) &  (v2_matrix_0(f5_s2_matrix15, u1_struct_0(f1_s2_matrix15), f2_s2_matrix15, f3_s2_matrix15) & m2_finseq_1(f5_s2_matrix15, k3_finseq_2(u1_struct_0(f1_s2_matrix15)))) ) ).
fof(dt_f6_s2_matrix15, axiom,  (v1_matrix_0(f6_s2_matrix15) &  (v2_matrix_0(f6_s2_matrix15, u1_struct_0(f1_s2_matrix15), f2_s2_matrix15, f4_s2_matrix15) & m2_finseq_1(f6_s2_matrix15, k3_finseq_2(u1_struct_0(f1_s2_matrix15)))) ) ).
fof(dt_f7_s2_matrix15, axiom,  (! [A, B, C, D] :  (v1_matrix_0(f7_s2_matrix15(A, B, C, D)) &  (v2_matrix_0(f7_s2_matrix15(A, B, C, D), u1_struct_0(f1_s2_matrix15), f2_s2_matrix15, f4_s2_matrix15) & m2_finseq_1(f7_s2_matrix15(A, B, C, D), k3_finseq_2(u1_struct_0(f1_s2_matrix15)))) ) ) ).
fof(dt_k6_matrix15, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  & m1_finseq_1(C, u1_struct_0(A))) )  => m1_subset_1(k6_matrix15(A, B, C), k1_zfmisc_1(u1_struct_0(k6_prvect_1(A, k1_matrix_0(B)))))) ) ).
fof(redefinition_k6_matrix15, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  & m1_finseq_1(C, u1_struct_0(A))) )  => k6_matrix15(A, B, C)=k5_matrix15(A, B, C)) ) ).
fof(dt_k7_matrix15, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(u1_struct_0(A)))) )  =>  (v7_vectsp_1(k7_matrix15(A, B), A) & m1_vectsp_4(k7_matrix15(A, B), A, k6_prvect_1(A, k1_matrix_0(B)))) ) ) ).
fof(d3_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  => k4_matrix15(A, B, C)=a_3_0_matrix15(A, B, C)) ) ) ) ) ) ).
fof(t54_matrix15, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v6_struct_0(D))  &  (v13_algstr_0(D) &  (v33_algstr_0(D) &  (v3_group_1(D) &  (v5_group_1(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) ) ) ) )  =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  ( ~ (r1_xxreal_0(A, k5_numbers))  &  ~ (k4_matrix15(D, k1_matrix_3(D, C, A), k1_matrix_3(D, C, B))=a_3_1_matrix15(A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_matrix15, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) => k5_matrix15(A, B, C)=a_3_2_matrix15(A, B, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_matrix15, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B))))  &  (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) ) )  =>  (r2_hidden(A, a_3_0_matrix15(B, C, D)) <=>  (? [E] :  ( (v1_matrix_0(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B))))  &  (A=E &  (k3_finseq_1(E)=k1_matrix_0(C) &  (k1_matrix_0(E)=k1_matrix_0(D) & k4_matrix_3(B, C, E)=D) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_matrix15, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(B) &  (v7_ordinal1(C) &  ( ~ (v2_struct_0(D))  &  ( ~ (v6_struct_0(D))  &  (v13_algstr_0(D) &  (v33_algstr_0(D) &  (v3_group_1(D) &  (v5_group_1(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (r2_hidden(A, a_3_1_matrix15(B, C, D)) <=>  (? [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(D), B, C) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(D)))) )  & A=E) ) ) ) ) ).
fof(fraenkel_a_3_2_matrix15, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B))))  & m2_finseq_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_2_matrix15(B, C, D)) <=>  (? [E] :  (m2_finseq_1(E, u1_struct_0(B)) &  (A=E & r2_tarski(k3_matrix15(u1_struct_0(B), E), k4_matrix15(B, C, k3_matrix15(u1_struct_0(B), D)))) ) ) ) ) ) ).
fof(rc1_matrix16, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_finseq_1(B, u1_struct_0(A)) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_finseq_1(B) &  (v2_matrix16(B, u1_struct_0(A)) & v4_matrix16(B, u1_struct_0(A))) ) ) ) ) ) ) ) ) ) ).
fof(fc1_matrix16, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, k4_ordinal1))  =>  (v1_matrix_0(k2_matrix_1(A, B)) &  (v2_matrix_0(k2_matrix_1(A, B), u1_struct_0(A), B, B) &  (v1_matrix16(k2_matrix_1(A, B), u1_struct_0(A)) & v3_matrix16(k2_matrix_1(A, B), u1_struct_0(A))) ) ) ) ) ).
fof(fc2_matrix16, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, k4_ordinal1) & m1_subset_1(C, u1_struct_0(A))) )  =>  (v1_matrix_0(k10_matrix_0(B, B, C)) &  (v2_matrix_0(k10_matrix_0(B, B, C), u1_struct_0(A), B, B) & v1_matrix16(k10_matrix_0(B, B, C), u1_struct_0(A))) ) ) ) ).
fof(fc3_matrix16, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, k4_ordinal1) & m1_subset_1(C, u1_struct_0(A))) )  =>  (v1_matrix_0(k10_matrix_0(B, B, C)) &  (v2_matrix_0(k10_matrix_0(B, B, C), u1_struct_0(A), B, B) & v3_matrix16(k10_matrix_0(B, B, C), u1_struct_0(A))) ) ) ) ).
fof(rc2_matrix16, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_finseq_1(B, k3_finseq_2(u1_struct_0(A))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k3_finseq_2(u1_struct_0(A))) &  (v1_funct_1(B) &  (v1_finseq_1(B) &  (v1_funcop_1(B) &  (v2_funcop_1(B) &  (v1_matrix_0(B) &  (v1_matrix16(B, u1_struct_0(A)) & v3_matrix16(B, u1_struct_0(A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc4_matrix16, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, k4_ordinal1))  =>  (v1_matrix_0(k2_matrix_1(A, B)) &  (v2_matrix_0(k2_matrix_1(A, B), u1_struct_0(A), B, B) & v5_matrix16(k2_matrix_1(A, B), A)) ) ) ) ).
fof(t1_matrix16, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) => k9_fvsum_1(A, B, k1_group_1(A))=B) ) ) ) ).
fof(t2_matrix16, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) => k9_fvsum_1(A, B, k4_algstr_0(A, k1_group_1(A)))=k5_fvsum_1(A, B)) ) ) ) ).
fof(d1_matrix16, axiom,  (! [A] :  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r1_matrix16(A, B, C) <=>  (k3_finseq_1(C)=k1_matrix_0(B) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_hidden(k4_tarski(D, E), k2_matrix_0(B)) => k3_matrix_0(A, B, D, E)=k1_funct_1(C, k2_xcmplx_0(k5_int_1(k6_xcmplx_0(E, D), k3_finseq_1(C)), 1))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_matrix16, axiom,  (! [A] :  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (v1_matrix16(B, A) <=>  (? [C] :  (m2_finseq_1(C, A) &  (k3_finseq_1(C)=k1_matrix_0(B) & r1_matrix16(A, B, C)) ) ) ) ) ) ) ).
fof(d3_matrix16, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (v2_matrix16(B, A) <=>  (? [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, A, k3_finseq_1(B), k3_finseq_1(B)) & m2_finseq_1(C, k3_finseq_2(A))) )  & r1_matrix16(A, C, B)) ) ) ) ) ) ) ).
fof(d4_matrix16, axiom,  (! [A] :  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r2_matrix16(A, B, C) <=>  (k3_finseq_1(C)=k3_finseq_1(B) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_hidden(k4_tarski(D, E), k2_matrix_0(B)) => k3_matrix_0(A, B, D, E)=k1_funct_1(C, k2_xcmplx_0(k5_int_1(k6_xcmplx_0(D, E), k3_finseq_1(C)), 1))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_matrix16, axiom,  (! [A] :  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (v3_matrix16(B, A) <=>  (? [C] :  (m2_finseq_1(C, A) &  (k3_finseq_1(C)=k3_finseq_1(B) & r2_matrix16(A, B, C)) ) ) ) ) ) ) ).
fof(d6_matrix16, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (v4_matrix16(B, A) <=>  (? [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, A, k3_finseq_1(B), k3_finseq_1(B)) & m2_finseq_1(C, k3_finseq_2(A))) )  & r2_matrix16(A, C, B)) ) ) ) ) ) ) ).
fof(d7_matrix16, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (v2_matrix16(B, A) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, A, k3_finseq_1(B), k3_finseq_1(B)) & m2_finseq_1(C, k3_finseq_2(A))) )  =>  (C=k1_matrix16(A, B) <=> r1_matrix16(A, C, B)) ) ) ) ) ) ) ) ).
fof(d8_matrix16, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (v4_matrix16(B, A) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, A, k3_finseq_1(B), k3_finseq_1(B)) & m2_finseq_1(C, k3_finseq_2(A))) )  =>  (C=k2_matrix16(A, B) <=> r2_matrix16(A, C, B)) ) ) ) ) ) ) ) ).
fof(t3_matrix16, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, B, A, A) & m2_finseq_1(C, k3_finseq_2(B))) )  =>  (v1_matrix16(C, B) =>  (r1_xxreal_0(A, k5_numbers) | v3_matrix16(k4_matrix_0(B, C), B)) ) ) ) ) ) ) ) ).
fof(t4_matrix16, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, B) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, B, A, A) & m2_finseq_1(D, k3_finseq_2(B))) )  =>  (r1_matrix16(B, D, C) =>  (r1_xxreal_0(A, k5_numbers) | C=k7_matrix_0(B, D, 1)) ) ) ) ) ) ) ) ) ) ).
fof(t5_matrix16, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  ( ~ (v1_xboole_0(F))  =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, F, D, D) & m2_finseq_1(G, k3_finseq_2(F))) )  =>  ( (v1_matrix16(G, F) &  (r2_hidden(k4_tarski(A, B), k2_zfmisc_1(k2_finseq_1(D), k2_finseq_1(D))) &  (C=k2_xcmplx_0(A, 1) & E=k2_xcmplx_0(B, 1)) ) )  =>  (r1_xxreal_0(D, A) |  (r1_xxreal_0(D, B) | k3_matrix_0(F, G, A, B)=k3_matrix_0(F, G, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_matrix16, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (v1_matrix16(D, u1_struct_0(B)) => v1_matrix16(k2_matrix13(A, A, B, D, C), u1_struct_0(B))) ) ) ) ) ) ) ) ) ).
fof(t7_matrix16, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v1_matrix16(C, u1_struct_0(B)) & v1_matrix16(D, u1_struct_0(B)))  => v1_matrix16(k3_matrix_3(B, C, D), u1_struct_0(B))) ) ) ) ) ) ) ) ) ).
fof(t8_matrix16, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(B), A, A) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v1_matrix16(C, u1_struct_0(B)) &  (v1_matrix16(D, u1_struct_0(B)) & v1_matrix16(E, u1_struct_0(B))) )  => v1_matrix16(k3_matrix_3(B, k3_matrix_3(B, C, D), E), u1_struct_0(B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_matrix16, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(B), A, A) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(B), A, A) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v1_matrix16(E, u1_struct_0(B)) & v1_matrix16(F, u1_struct_0(B)))  => v1_matrix16(k3_matrix_3(B, k2_matrix13(A, A, B, E, C), k2_matrix13(A, A, B, F, D)), u1_struct_0(B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_matrix16, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(B), A, A) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, u1_struct_0(B), A, A) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [H] :  ( (v1_matrix_0(H) &  (v2_matrix_0(H, u1_struct_0(B), A, A) & m2_finseq_1(H, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v1_matrix16(F, u1_struct_0(B)) &  (v1_matrix16(G, u1_struct_0(B)) & v1_matrix16(H, u1_struct_0(B))) )  => v1_matrix16(k3_matrix_3(B, k3_matrix_3(B, k2_matrix13(A, A, B, F, C), k2_matrix13(A, A, B, G, D)), k2_matrix13(A, A, B, H, E)), u1_struct_0(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_matrix16, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (v1_matrix16(C, u1_struct_0(B)) => v1_matrix16(k2_matrix_3(B, C), u1_struct_0(B))) ) ) ) ) ) ) ).
fof(t12_matrix16, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v1_matrix16(C, u1_struct_0(B)) & v1_matrix16(D, u1_struct_0(B)))  => v1_matrix16(k1_matrix_4(B, C, D), u1_struct_0(B))) ) ) ) ) ) ) ) ) ).
fof(t13_matrix16, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(B), A, A) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(B), A, A) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v1_matrix16(E, u1_struct_0(B)) & v1_matrix16(F, u1_struct_0(B)))  => v1_matrix16(k1_matrix_4(B, k2_matrix13(A, A, B, E, C), k2_matrix13(A, A, B, F, D)), u1_struct_0(B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_matrix16, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(B), A, A) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, u1_struct_0(B), A, A) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [H] :  ( (v1_matrix_0(H) &  (v2_matrix_0(H, u1_struct_0(B), A, A) & m2_finseq_1(H, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v1_matrix16(F, u1_struct_0(B)) &  (v1_matrix16(G, u1_struct_0(B)) & v1_matrix16(H, u1_struct_0(B))) )  => v1_matrix16(k1_matrix_4(B, k3_matrix_3(B, k2_matrix13(A, A, B, F, C), k2_matrix13(A, A, B, G, D)), k2_matrix13(A, A, B, H, E)), u1_struct_0(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_matrix16, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(B), A, A) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, u1_struct_0(B), A, A) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [H] :  ( (v1_matrix_0(H) &  (v2_matrix_0(H, u1_struct_0(B), A, A) & m2_finseq_1(H, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v1_matrix16(F, u1_struct_0(B)) &  (v1_matrix16(G, u1_struct_0(B)) & v1_matrix16(H, u1_struct_0(B))) )  => v1_matrix16(k1_matrix_4(B, k1_matrix_4(B, k2_matrix13(A, A, B, F, C), k2_matrix13(A, A, B, G, D)), k2_matrix13(A, A, B, H, E)), u1_struct_0(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_matrix16, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(B), A, A) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, u1_struct_0(B), A, A) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [H] :  ( (v1_matrix_0(H) &  (v2_matrix_0(H, u1_struct_0(B), A, A) & m2_finseq_1(H, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v1_matrix16(F, u1_struct_0(B)) &  (v1_matrix16(G, u1_struct_0(B)) & v1_matrix16(H, u1_struct_0(B))) )  => v1_matrix16(k3_matrix_3(B, k1_matrix_4(B, k2_matrix13(A, A, B, F, C), k2_matrix13(A, A, B, G, D)), k2_matrix13(A, A, B, H, E)), u1_struct_0(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_matrix16, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, B, A, A) & m2_finseq_1(C, k3_finseq_2(B))) )  =>  (v3_matrix16(C, B) =>  (r1_xxreal_0(A, k5_numbers) | v1_matrix16(k4_matrix_0(B, C), B)) ) ) ) ) ) ) ) ).
fof(t18_matrix16, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, B) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, B, A, A) & m2_finseq_1(D, k3_finseq_2(B))) )  =>  (r2_matrix16(B, D, C) =>  (r1_xxreal_0(A, k5_numbers) | C=k8_matrix_0(B, D, 1)) ) ) ) ) ) ) ) ) ) ).
fof(t19_matrix16, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  ( ~ (v1_xboole_0(F))  =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, F, D, D) & m2_finseq_1(G, k3_finseq_2(F))) )  =>  ( (v3_matrix16(G, F) &  (r2_hidden(k4_tarski(A, B), k2_zfmisc_1(k2_finseq_1(D), k2_finseq_1(D))) &  (C=k2_xcmplx_0(A, 1) & E=k2_xcmplx_0(B, 1)) ) )  =>  (r1_xxreal_0(D, A) |  (r1_xxreal_0(D, B) | k3_matrix_0(F, G, A, B)=k3_matrix_0(F, G, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_matrix16, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (v3_matrix16(D, u1_struct_0(B)) => v3_matrix16(k2_matrix13(A, A, B, D, C), u1_struct_0(B))) ) ) ) ) ) ) ) ) ).
fof(t21_matrix16, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v3_matrix16(C, u1_struct_0(B)) & v3_matrix16(D, u1_struct_0(B)))  => v3_matrix16(k3_matrix_3(B, C, D), u1_struct_0(B))) ) ) ) ) ) ) ) ) ).
fof(t22_matrix16, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(B), A, A) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v3_matrix16(C, u1_struct_0(B)) &  (v3_matrix16(D, u1_struct_0(B)) & v3_matrix16(E, u1_struct_0(B))) )  => v3_matrix16(k3_matrix_3(B, k3_matrix_3(B, C, D), E), u1_struct_0(B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_matrix16, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(B), A, A) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(B), A, A) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v3_matrix16(E, u1_struct_0(B)) & v3_matrix16(F, u1_struct_0(B)))  => v3_matrix16(k3_matrix_3(B, k2_matrix13(A, A, B, E, C), k2_matrix13(A, A, B, F, D)), u1_struct_0(B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_matrix16, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(B), A, A) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, u1_struct_0(B), A, A) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [H] :  ( (v1_matrix_0(H) &  (v2_matrix_0(H, u1_struct_0(B), A, A) & m2_finseq_1(H, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v3_matrix16(F, u1_struct_0(B)) &  (v3_matrix16(G, u1_struct_0(B)) & v3_matrix16(H, u1_struct_0(B))) )  => v3_matrix16(k3_matrix_3(B, k3_matrix_3(B, k2_matrix13(A, A, B, F, C), k2_matrix13(A, A, B, G, D)), k2_matrix13(A, A, B, H, E)), u1_struct_0(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_matrix16, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (v3_matrix16(C, u1_struct_0(B)) => v3_matrix16(k2_matrix_3(B, C), u1_struct_0(B))) ) ) ) ) ) ) ).
fof(t26_matrix16, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v3_matrix16(C, u1_struct_0(B)) & v3_matrix16(D, u1_struct_0(B)))  => v3_matrix16(k1_matrix_4(B, C, D), u1_struct_0(B))) ) ) ) ) ) ) ) ) ).
fof(t27_matrix16, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(B), A, A) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(B), A, A) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v3_matrix16(E, u1_struct_0(B)) & v3_matrix16(F, u1_struct_0(B)))  => v3_matrix16(k1_matrix_4(B, k2_matrix13(A, A, B, E, C), k2_matrix13(A, A, B, F, D)), u1_struct_0(B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_matrix16, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(B), A, A) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, u1_struct_0(B), A, A) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [H] :  ( (v1_matrix_0(H) &  (v2_matrix_0(H, u1_struct_0(B), A, A) & m2_finseq_1(H, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v3_matrix16(F, u1_struct_0(B)) &  (v3_matrix16(G, u1_struct_0(B)) & v3_matrix16(H, u1_struct_0(B))) )  => v3_matrix16(k1_matrix_4(B, k3_matrix_3(B, k2_matrix13(A, A, B, F, C), k2_matrix13(A, A, B, G, D)), k2_matrix13(A, A, B, H, E)), u1_struct_0(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_matrix16, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(B), A, A) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, u1_struct_0(B), A, A) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [H] :  ( (v1_matrix_0(H) &  (v2_matrix_0(H, u1_struct_0(B), A, A) & m2_finseq_1(H, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v3_matrix16(F, u1_struct_0(B)) &  (v3_matrix16(G, u1_struct_0(B)) & v3_matrix16(H, u1_struct_0(B))) )  => v3_matrix16(k1_matrix_4(B, k1_matrix_4(B, k2_matrix13(A, A, B, F, C), k2_matrix13(A, A, B, G, D)), k2_matrix13(A, A, B, H, E)), u1_struct_0(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_matrix16, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(B), A, A) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, u1_struct_0(B), A, A) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [H] :  ( (v1_matrix_0(H) &  (v2_matrix_0(H, u1_struct_0(B), A, A) & m2_finseq_1(H, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v3_matrix16(F, u1_struct_0(B)) &  (v3_matrix16(G, u1_struct_0(B)) & v3_matrix16(H, u1_struct_0(B))) )  => v3_matrix16(k3_matrix_3(B, k1_matrix_4(B, k2_matrix13(A, A, B, F, C), k2_matrix13(A, A, B, G, D)), k2_matrix13(A, A, B, H, E)), u1_struct_0(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_matrix16, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (v2_matrix16(B, u1_struct_0(A)) => v2_matrix16(k5_fvsum_1(A, B), u1_struct_0(A))) ) ) ) ) ).
fof(t32_matrix16, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (v2_matrix16(B, u1_struct_0(A)) => k1_matrix16(u1_struct_0(A), k5_fvsum_1(A, B))=k2_matrix_3(A, k1_matrix16(u1_struct_0(A), B))) ) ) ) ) ).
fof(t33_matrix16, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  ( (v2_matrix16(B, u1_struct_0(A)) &  (v2_matrix16(C, u1_struct_0(A)) & k3_finseq_1(B)=k3_finseq_1(C)) )  => v2_matrix16(k3_fvsum_1(A, B, C), u1_struct_0(A))) ) ) ) ) ) ) ).
fof(t34_matrix16, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (v2_matrix16(B, u1_struct_0(A)) & v2_matrix16(C, u1_struct_0(A))) )  => k1_matrix16(u1_struct_0(A), k3_fvsum_1(A, B, C))=k3_matrix_3(A, k1_matrix16(u1_struct_0(A), B), k1_matrix16(u1_struct_0(A), C))) ) ) ) ) ) ) ).
fof(t35_matrix16, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (v4_matrix16(B, u1_struct_0(A)) => v4_matrix16(k5_fvsum_1(A, B), u1_struct_0(A))) ) ) ) ) ).
fof(t36_matrix16, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (v4_matrix16(B, u1_struct_0(A)) => k2_matrix16(u1_struct_0(A), k5_fvsum_1(A, B))=k2_matrix_3(A, k2_matrix16(u1_struct_0(A), B))) ) ) ) ) ).
fof(t37_matrix16, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  ( (v4_matrix16(B, u1_struct_0(A)) &  (v4_matrix16(C, u1_struct_0(A)) & k3_finseq_1(B)=k3_finseq_1(C)) )  => v4_matrix16(k3_fvsum_1(A, B, C), u1_struct_0(A))) ) ) ) ) ) ) ).
fof(t38_matrix16, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (v4_matrix16(B, u1_struct_0(A)) & v4_matrix16(C, u1_struct_0(A))) )  => k2_matrix16(u1_struct_0(A), k3_fvsum_1(A, B, C))=k3_matrix_3(A, k2_matrix16(u1_struct_0(A), B), k2_matrix16(u1_struct_0(A), C))) ) ) ) ) ) ) ).
fof(t39_matrix16, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => v3_matrix16(k3_matrix_1(B, A), u1_struct_0(B))) ) ) ) ) ).
fof(t40_matrix16, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => v1_matrix16(k3_matrix_1(B, A), u1_struct_0(B))) ) ) ) ) ).
fof(t41_matrix16, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (v2_matrix16(C, u1_struct_0(A)) => v2_matrix16(k9_fvsum_1(A, C, B), u1_struct_0(A))) ) ) ) ) ) ) ).
fof(t42_matrix16, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (v2_matrix16(C, u1_struct_0(A)) => k1_matrix16(u1_struct_0(A), k9_fvsum_1(A, C, B))=k2_matrix13(k3_finseq_1(C), k3_finseq_1(C), A, k1_matrix16(u1_struct_0(A), C), B)) ) ) ) ) ) ) ).
fof(t43_matrix16, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (v2_matrix16(D, u1_struct_0(A)) => k3_matrix_3(A, k2_matrix13(k3_finseq_1(D), k3_finseq_1(D), A, k1_matrix16(u1_struct_0(A), D), B), k2_matrix13(k3_finseq_1(D), k3_finseq_1(D), A, k1_matrix16(u1_struct_0(A), D), C))=k1_matrix16(u1_struct_0(A), k9_fvsum_1(A, D, k1_algstr_0(A, B, C)))) ) ) ) ) ) ) ) ) ).
fof(t44_matrix16, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  ( (v2_matrix16(C, u1_struct_0(A)) &  (v2_matrix16(D, u1_struct_0(A)) & k3_finseq_1(C)=k3_finseq_1(D)) )  => k3_matrix_3(A, k2_matrix13(k3_finseq_1(C), k3_finseq_1(C), A, k1_matrix16(u1_struct_0(A), C), B), k2_matrix13(k3_finseq_1(D), k3_finseq_1(D), A, k1_matrix16(u1_struct_0(A), D), B))=k1_matrix16(u1_struct_0(A), k9_fvsum_1(A, k3_fvsum_1(A, C, D), B))) ) ) ) ) ) ) ) ) ).
fof(t45_matrix16, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(A)) =>  ( (v2_matrix16(D, u1_struct_0(A)) &  (v2_matrix16(E, u1_struct_0(A)) & k3_finseq_1(D)=k3_finseq_1(E)) )  => k3_matrix_3(A, k2_matrix13(k3_finseq_1(D), k3_finseq_1(D), A, k1_matrix16(u1_struct_0(A), D), B), k2_matrix13(k3_finseq_1(E), k3_finseq_1(E), A, k1_matrix16(u1_struct_0(A), E), C))=k1_matrix16(u1_struct_0(A), k3_fvsum_1(A, k9_fvsum_1(A, D, B), k9_fvsum_1(A, E, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_matrix16, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (v4_matrix16(C, u1_struct_0(A)) => v4_matrix16(k9_fvsum_1(A, C, B), u1_struct_0(A))) ) ) ) ) ) ) ).
fof(t47_matrix16, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (v4_matrix16(C, u1_struct_0(A)) => k2_matrix16(u1_struct_0(A), k9_fvsum_1(A, C, B))=k2_matrix13(k3_finseq_1(C), k3_finseq_1(C), A, k2_matrix16(u1_struct_0(A), C), B)) ) ) ) ) ) ) ).
fof(t48_matrix16, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (v4_matrix16(D, u1_struct_0(A)) => k3_matrix_3(A, k2_matrix13(k3_finseq_1(D), k3_finseq_1(D), A, k2_matrix16(u1_struct_0(A), D), B), k2_matrix13(k3_finseq_1(D), k3_finseq_1(D), A, k2_matrix16(u1_struct_0(A), D), C))=k2_matrix16(u1_struct_0(A), k9_fvsum_1(A, D, k1_algstr_0(A, B, C)))) ) ) ) ) ) ) ) ) ).
fof(t49_matrix16, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  ( (v4_matrix16(C, u1_struct_0(A)) &  (v4_matrix16(D, u1_struct_0(A)) & k3_finseq_1(C)=k3_finseq_1(D)) )  =>  (r1_xxreal_0(k3_finseq_1(C), k5_numbers) | k3_matrix_3(A, k2_matrix13(k3_finseq_1(C), k3_finseq_1(C), A, k2_matrix16(u1_struct_0(A), C), B), k2_matrix13(k3_finseq_1(D), k3_finseq_1(D), A, k2_matrix16(u1_struct_0(A), D), B))=k2_matrix16(u1_struct_0(A), k9_fvsum_1(A, k3_fvsum_1(A, C, D), B))) ) ) ) ) ) ) ) ) ) ).
fof(t50_matrix16, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(A)) =>  ( (v4_matrix16(D, u1_struct_0(A)) &  (v4_matrix16(E, u1_struct_0(A)) & k3_finseq_1(D)=k3_finseq_1(E)) )  => k3_matrix_3(A, k2_matrix13(k3_finseq_1(D), k3_finseq_1(D), A, k2_matrix16(u1_struct_0(A), D), B), k2_matrix13(k3_finseq_1(E), k3_finseq_1(E), A, k2_matrix16(u1_struct_0(A), E), C))=k2_matrix16(u1_struct_0(A), k3_fvsum_1(A, k9_fvsum_1(A, D, B), k9_fvsum_1(A, E, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_matrix16, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (r3_matrix16(A, B, C) <=>  (k3_finseq_1(C)=k1_matrix_0(B) &  ( (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_hidden(k4_tarski(D, E), k2_matrix_0(B)) & r1_xxreal_0(D, E))  => k3_matrix_0(u1_struct_0(A), B, D, E)=k1_funct_1(C, k2_xcmplx_0(k5_int_1(k6_xcmplx_0(E, D), k3_finseq_1(C)), 1))) ) ) ) )  &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_hidden(k4_tarski(D, E), k2_matrix_0(B)) & r1_xxreal_0(E, D))  => k3_matrix_0(u1_struct_0(A), B, D, E)=k1_funct_1(k5_fvsum_1(A, C), k2_xcmplx_0(k5_int_1(k6_xcmplx_0(E, D), k3_finseq_1(C)), 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_matrix16, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (v5_matrix16(B, A) <=>  (? [C] :  (m2_finseq_1(C, u1_struct_0(A)) &  (k3_finseq_1(C)=k1_matrix_0(B) & r3_matrix16(A, B, C)) ) ) ) ) ) ) ) ).
fof(d11_matrix16, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (v6_matrix16(B, A) <=>  (? [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(A), k3_finseq_1(B), k3_finseq_1(B)) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A)))) )  & r3_matrix16(A, C, B)) ) ) ) ) ) ) ).
fof(d12_matrix16, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (v6_matrix16(B, A) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(A), k3_finseq_1(B), k3_finseq_1(B)) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A)))) )  =>  (C=k3_matrix16(A, B) <=> r3_matrix16(A, C, B)) ) ) ) ) ) ) ) ).
fof(t51_matrix16, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (v5_matrix16(D, B) => v5_matrix16(k2_matrix13(A, A, B, D, C), B)) ) ) ) ) ) ) ) ) ).
fof(t52_matrix16, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v5_matrix16(C, B) & v5_matrix16(D, B))  => v5_matrix16(k3_matrix_3(B, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t53_matrix16, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v12_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(A), B, B) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(A)))) )  =>  ( (r2_hidden(k4_tarski(C, D), k2_matrix_0(E)) &  (C=D & v5_matrix16(E, A)) )  => k3_matrix_0(u1_struct_0(A), E, C, D)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_matrix16, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  ( ~ (v6_struct_0(F))  &  (v13_algstr_0(F) &  (v33_algstr_0(F) &  (v4_vectsp_1(F) &  (v5_vectsp_1(F) &  (v2_rlvect_1(F) &  (v3_rlvect_1(F) &  (v4_rlvect_1(F) &  (v3_group_1(F) &  (v5_group_1(F) & l6_algstr_0(F)) ) ) ) ) ) ) ) ) ) )  =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, u1_struct_0(F), D, D) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(F)))) )  =>  ( (v5_matrix16(G, F) &  (r2_hidden(k4_tarski(A, B), k2_zfmisc_1(k2_finseq_1(D), k2_finseq_1(D))) &  (C=k2_xcmplx_0(A, 1) & E=k2_xcmplx_0(B, 1)) ) )  =>  (r1_xxreal_0(D, A) |  (r1_xxreal_0(D, B) | k3_matrix_0(u1_struct_0(F), G, C, E)=k3_matrix_0(u1_struct_0(F), G, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_matrix16, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (v5_matrix16(C, B) => v5_matrix16(k2_matrix_3(B, C), B)) ) ) ) ) ) ) ).
fof(t56_matrix16, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v5_matrix16(C, B) & v5_matrix16(D, B))  => v5_matrix16(k1_matrix_4(B, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t57_matrix16, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (r3_matrix16(B, D, C) =>  (r1_xxreal_0(A, k5_numbers) | C=k7_matrix_0(u1_struct_0(B), D, 1)) ) ) ) ) ) ) ) ) ) ).
fof(t58_matrix16, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (v6_matrix16(B, A) => v6_matrix16(k5_fvsum_1(A, B), A)) ) ) ) ) ).
fof(t59_matrix16, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (v6_matrix16(B, A) => k3_matrix16(A, k5_fvsum_1(A, B))=k2_matrix_3(A, k3_matrix16(A, B))) ) ) ) ) ).
fof(t60_matrix16, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  ( (v6_matrix16(B, A) &  (v6_matrix16(C, A) & k3_finseq_1(B)=k3_finseq_1(C)) )  => v6_matrix16(k3_fvsum_1(A, B, C), A)) ) ) ) ) ) ) ).
fof(t61_matrix16, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  ( (v6_matrix16(B, A) &  (v6_matrix16(C, A) & k3_finseq_1(B)=k3_finseq_1(C)) )  => k3_matrix16(A, k3_fvsum_1(A, B, C))=k3_matrix_3(A, k3_matrix16(A, B), k3_matrix16(A, C))) ) ) ) ) ) ) ).
fof(t62_matrix16, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (v6_matrix16(C, A) => v6_matrix16(k9_fvsum_1(A, C, B), A)) ) ) ) ) ) ) ).
fof(t63_matrix16, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (v6_matrix16(C, A) => k3_matrix16(A, k9_fvsum_1(A, C, B))=k2_matrix13(k3_finseq_1(C), k3_finseq_1(C), A, k3_matrix16(A, C), B)) ) ) ) ) ) ) ).
fof(t64_matrix16, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (v6_matrix16(D, A) => k3_matrix_3(A, k2_matrix13(k3_finseq_1(D), k3_finseq_1(D), A, k3_matrix16(A, D), B), k2_matrix13(k3_finseq_1(D), k3_finseq_1(D), A, k3_matrix16(A, D), C))=k3_matrix16(A, k9_fvsum_1(A, D, k1_algstr_0(A, B, C)))) ) ) ) ) ) ) ) ) ).
fof(t65_matrix16, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  ( (v6_matrix16(C, A) &  (v6_matrix16(D, A) & k3_finseq_1(C)=k3_finseq_1(D)) )  => k3_matrix_3(A, k2_matrix13(k3_finseq_1(C), k3_finseq_1(C), A, k3_matrix16(A, C), B), k2_matrix13(k3_finseq_1(D), k3_finseq_1(D), A, k3_matrix16(A, D), B))=k3_matrix16(A, k9_fvsum_1(A, k3_fvsum_1(A, C, D), B))) ) ) ) ) ) ) ) ) ).
fof(t66_matrix16, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(A)) =>  ( (v6_matrix16(D, A) &  (v6_matrix16(E, A) & k3_finseq_1(D)=k3_finseq_1(E)) )  => k3_matrix_3(A, k2_matrix13(k3_finseq_1(D), k3_finseq_1(D), A, k3_matrix16(A, D), B), k2_matrix13(k3_finseq_1(E), k3_finseq_1(E), A, k3_matrix16(A, E), C))=k3_matrix16(A, k3_fvsum_1(A, k9_fvsum_1(A, D, B), k9_fvsum_1(A, E, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_matrix16, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(B, A))  =>  (v1_matrix_0(k1_matrix16(A, B)) &  (v2_matrix_0(k1_matrix16(A, B), A, k3_finseq_1(B), k3_finseq_1(B)) & m2_finseq_1(k1_matrix16(A, B), k3_finseq_2(A))) ) ) ) ).
fof(dt_k2_matrix16, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(B, A))  =>  (v1_matrix_0(k2_matrix16(A, B)) &  (v2_matrix_0(k2_matrix16(A, B), A, k3_finseq_1(B), k3_finseq_1(B)) & m2_finseq_1(k2_matrix16(A, B), k3_finseq_2(A))) ) ) ) ).
fof(dt_k3_matrix16, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  & m1_finseq_1(B, u1_struct_0(A)))  =>  (v1_matrix_0(k3_matrix16(A, B)) &  (v2_matrix_0(k3_matrix16(A, B), u1_struct_0(A), k3_finseq_1(B), k3_finseq_1(B)) & m2_finseq_1(k3_matrix16(A, B), k3_finseq_2(u1_struct_0(A)))) ) ) ) ).
fof(fc1_matrix17, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(C, u1_struct_0(B))) )  =>  (v1_matrix_0(k10_matrix_0(A, A, C)) &  (v2_matrix_0(k10_matrix_0(A, A, C), u1_struct_0(B), A, A) & v1_matrix17(k10_matrix_0(A, A, C), B, A)) ) ) ) ).
fof(rc1_matrix17, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (? [C] :  (m1_finseq_1(C, k3_finseq_2(u1_struct_0(B))) &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, k3_finseq_2(u1_struct_0(B))) &  (v1_funct_1(C) &  (v1_finseq_1(C) &  (v1_funcop_1(C) &  (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & v1_matrix17(C, B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc2_matrix17, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) &  (v1_matrix17(C, B, A) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) ) ) ) )  =>  (v1_matrix_0(k2_matrix_3(B, C)) &  (v2_matrix_0(k2_matrix_3(B, C), u1_struct_0(B), A, A) & v1_matrix17(k2_matrix_3(B, C), B, A)) ) ) ) ).
fof(fc3_matrix17, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) &  (v1_matrix17(C, B, A) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) ) )  &  (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) &  (v1_matrix17(D, B, A) & m1_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) ) ) ) ) )  =>  (v1_matrix_0(k3_matrix_3(B, C, D)) &  (v2_matrix_0(k3_matrix_3(B, C, D), u1_struct_0(B), A, A) & v1_matrix17(k3_matrix_3(B, C, D), B, A)) ) ) ) ).
fof(fc4_matrix17, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) &  (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) &  (v1_matrix17(D, B, A) & m1_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) ) ) ) ) )  =>  (v1_matrix_0(k6_matrix_3(B, D, C)) &  (v2_matrix_0(k6_matrix_3(B, D, C), u1_struct_0(B), A, A) & v1_matrix17(k6_matrix_3(B, D, C), B, A)) ) ) ) ).
fof(fc5_matrix17, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) &  (v1_matrix17(C, B, A) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) ) )  &  (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) &  (v1_matrix17(D, B, A) & m1_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) ) ) ) ) )  =>  (v1_matrix_0(k1_matrix_4(B, C, D)) &  (v2_matrix_0(k1_matrix_4(B, C, D), u1_struct_0(B), A, A) & v1_matrix17(k1_matrix_4(B, C, D), B, A)) ) ) ) ).
fof(fc6_matrix17, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) &  (v1_matrix17(C, B, A) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) ) ) ) )  =>  (v1_matrix_0(k4_matrix_0(u1_struct_0(B), C)) &  (v2_matrix_0(k4_matrix_0(u1_struct_0(B), C), u1_struct_0(B), A, A) & v1_matrix17(k4_matrix_0(u1_struct_0(B), C), B, A)) ) ) ) ).
fof(cc1_matrix17, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_finseq_1(C, k3_finseq_2(u1_struct_0(B))) =>  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & v1_matrix16(C, u1_struct_0(B))) )  =>  (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & v1_matrix17(C, B, A)) ) ) ) ) ) ) ).
fof(cc2_matrix17, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_finseq_1(C, k3_finseq_2(u1_struct_0(B))) =>  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & v3_matrix16(C, u1_struct_0(B))) )  =>  (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & v1_matrix17(C, B, A)) ) ) ) ) ) ) ).
fof(rc2_matrix17, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (? [C] :  (m1_finseq_1(C, k3_finseq_2(u1_struct_0(B))) &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, k3_finseq_2(u1_struct_0(B))) &  (v1_funct_1(C) &  (v1_finseq_1(C) &  (v1_funcop_1(C) &  (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & v2_matrix17(C, B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc7_matrix17, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) &  (v2_matrix17(C, B, A) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) ) ) ) )  =>  (v1_matrix_0(k2_matrix_3(B, C)) &  (v2_matrix_0(k2_matrix_3(B, C), u1_struct_0(B), A, A) & v2_matrix17(k2_matrix_3(B, C), B, A)) ) ) ) ).
fof(fc8_matrix17, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) &  (v2_matrix17(C, B, A) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) ) )  &  (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) &  (v2_matrix17(D, B, A) & m1_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) ) ) ) ) )  =>  (v1_matrix_0(k3_matrix_3(B, C, D)) &  (v2_matrix_0(k3_matrix_3(B, C, D), u1_struct_0(B), A, A) & v2_matrix17(k3_matrix_3(B, C, D), B, A)) ) ) ) ).
fof(fc9_matrix17, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) &  (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) &  (v2_matrix17(D, B, A) & m1_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) ) ) ) ) )  =>  (v1_matrix_0(k6_matrix_3(B, D, C)) &  (v2_matrix_0(k6_matrix_3(B, D, C), u1_struct_0(B), A, A) & v2_matrix17(k6_matrix_3(B, D, C), B, A)) ) ) ) ).
fof(fc10_matrix17, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) &  (v2_matrix17(C, B, A) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) ) )  &  (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) &  (v2_matrix17(D, B, A) & m1_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) ) ) ) ) )  =>  (v1_matrix_0(k1_matrix_4(B, C, D)) &  (v2_matrix_0(k1_matrix_4(B, C, D), u1_struct_0(B), A, A) & v2_matrix17(k1_matrix_4(B, C, D), B, A)) ) ) ) ).
fof(fc11_matrix17, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) &  (v2_matrix17(C, B, A) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) ) ) ) )  =>  (v1_matrix_0(k4_matrix_0(u1_struct_0(B), C)) &  (v2_matrix_0(k4_matrix_0(u1_struct_0(B), C), u1_struct_0(B), A, A) & v2_matrix17(k4_matrix_0(u1_struct_0(B), C), B, A)) ) ) ) ).
fof(fc12_matrix17, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(C, u1_struct_0(B))) )  =>  (v1_matrix_0(k10_matrix_0(A, A, C)) &  (v2_matrix_0(k10_matrix_0(A, A, C), u1_struct_0(B), A, A) & v3_matrix17(k10_matrix_0(A, A, C), B, A)) ) ) ) ).
fof(rc3_matrix17, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (? [C] :  (m1_finseq_1(C, k3_finseq_2(u1_struct_0(B))) &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, k3_finseq_2(u1_struct_0(B))) &  (v1_funct_1(C) &  (v1_finseq_1(C) &  (v1_funcop_1(C) &  (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & v3_matrix17(C, B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc13_matrix17, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) &  (v3_matrix17(C, B, A) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) ) ) ) )  =>  (v1_matrix_0(k2_matrix_3(B, C)) &  (v2_matrix_0(k2_matrix_3(B, C), u1_struct_0(B), A, A) & v3_matrix17(k2_matrix_3(B, C), B, A)) ) ) ) ).
fof(fc14_matrix17, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) &  (v3_matrix17(C, B, A) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) ) )  &  (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) &  (v3_matrix17(D, B, A) & m1_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) ) ) ) ) )  =>  (v1_matrix_0(k3_matrix_3(B, C, D)) &  (v2_matrix_0(k3_matrix_3(B, C, D), u1_struct_0(B), A, A) & v3_matrix17(k3_matrix_3(B, C, D), B, A)) ) ) ) ).
fof(fc15_matrix17, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) &  (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) &  (v3_matrix17(D, B, A) & m1_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) ) ) ) ) )  =>  (v1_matrix_0(k6_matrix_3(B, D, C)) &  (v2_matrix_0(k6_matrix_3(B, D, C), u1_struct_0(B), A, A) & v3_matrix17(k6_matrix_3(B, D, C), B, A)) ) ) ) ).
fof(fc16_matrix17, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) &  (v3_matrix17(C, B, A) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) ) )  &  (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) &  (v3_matrix17(D, B, A) & m1_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) ) ) ) ) )  =>  (v1_matrix_0(k1_matrix_4(B, C, D)) &  (v2_matrix_0(k1_matrix_4(B, C, D), u1_struct_0(B), A, A) & v3_matrix17(k1_matrix_4(B, C, D), B, A)) ) ) ) ).
fof(fc17_matrix17, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) &  (v3_matrix17(C, B, A) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) ) ) ) )  =>  (v1_matrix_0(k4_matrix_0(u1_struct_0(B), C)) &  (v2_matrix_0(k4_matrix_0(u1_struct_0(B), C), u1_struct_0(B), A, A) & v3_matrix17(k4_matrix_0(u1_struct_0(B), C), B, A)) ) ) ) ).
fof(cc3_matrix17, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_finseq_1(C, k3_finseq_2(u1_struct_0(B))) =>  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) &  (v2_matrix_6(C, A, B) & v1_matrix17(C, B, A)) ) )  =>  (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & v3_matrix17(C, B, A)) ) ) ) ) ) ) ).
fof(fc18_matrix17, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(C, u1_struct_0(B))) )  =>  (v1_matrix_0(k10_matrix_0(A, A, C)) &  (v2_matrix_0(k10_matrix_0(A, A, C), u1_struct_0(B), A, A) & v4_matrix17(k10_matrix_0(A, A, C), u1_struct_0(B))) ) ) ) ).
fof(rc4_matrix17, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (? [C] :  (m1_finseq_1(C, k3_finseq_2(u1_struct_0(B))) &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, k3_finseq_2(u1_struct_0(B))) &  (v1_funct_1(C) &  (v1_finseq_1(C) &  (v1_funcop_1(C) &  (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & v4_matrix17(C, u1_struct_0(B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc19_matrix17, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) &  (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) &  (v4_matrix17(D, u1_struct_0(B)) & m1_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) ) ) ) ) )  =>  (v1_matrix_0(k6_matrix_3(B, D, C)) &  (v2_matrix_0(k6_matrix_3(B, D, C), u1_struct_0(B), A, A) & v4_matrix17(k6_matrix_3(B, D, C), u1_struct_0(B))) ) ) ) ).
fof(fc20_matrix17, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) &  (v4_matrix17(C, u1_struct_0(B)) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) ) )  &  (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) &  (v4_matrix17(D, u1_struct_0(B)) & m1_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) ) ) ) ) )  =>  (v1_matrix_0(k3_matrix_3(B, C, D)) &  (v2_matrix_0(k3_matrix_3(B, C, D), u1_struct_0(B), A, A) & v4_matrix17(k3_matrix_3(B, C, D), u1_struct_0(B))) ) ) ) ).
fof(fc21_matrix17, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) &  (v4_matrix17(C, u1_struct_0(B)) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) ) ) ) )  =>  (v1_matrix_0(k2_matrix_3(B, C)) &  (v2_matrix_0(k2_matrix_3(B, C), u1_struct_0(B), A, A) & v4_matrix17(k2_matrix_3(B, C), u1_struct_0(B))) ) ) ) ).
fof(fc22_matrix17, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) &  (v4_matrix17(C, u1_struct_0(B)) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) ) )  &  (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) &  (v4_matrix17(D, u1_struct_0(B)) & m1_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) ) ) ) ) )  =>  (v1_matrix_0(k1_matrix_4(B, C, D)) &  (v2_matrix_0(k1_matrix_4(B, C, D), u1_struct_0(B), A, A) & v4_matrix17(k1_matrix_4(B, C, D), u1_struct_0(B))) ) ) ) ).
fof(cc4_matrix17, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_finseq_1(C, k3_finseq_2(u1_struct_0(B))) =>  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & v4_matrix17(C, u1_struct_0(B))) )  =>  (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & v2_matrix_6(C, A, B)) ) ) ) ) ) ) ).
fof(d1_matrix17, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(A), B, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A)))) )  =>  (v1_matrix17(C, A, B) <=>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ( (r2_hidden(k4_tarski(D, E), k2_matrix_0(C)) &  (F=k6_xcmplx_0(k2_xcmplx_0(B, 1), E) & G=k6_xcmplx_0(k2_xcmplx_0(B, 1), D)) )  => k3_matrix_0(u1_struct_0(A), C, D, E)=k3_matrix_0(u1_struct_0(A), C, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_matrix17, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(A), B, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A)))) )  =>  (v2_matrix17(C, A, B) <=>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ( (r2_hidden(k4_tarski(D, E), k2_matrix_0(C)) &  (F=k6_xcmplx_0(k2_xcmplx_0(B, 1), E) & G=k6_xcmplx_0(k2_xcmplx_0(B, 1), D)) )  => k3_matrix_0(u1_struct_0(A), C, D, E)=k4_algstr_0(A, k3_matrix_0(u1_struct_0(A), C, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_matrix17, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v12_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, u1_struct_0(A), B, B) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(A)))) )  =>  ( (r2_hidden(k4_tarski(C, D), k2_matrix_0(G)) &  (k2_xcmplx_0(C, D)=k2_xcmplx_0(B, 1) &  (E=k6_xcmplx_0(k2_xcmplx_0(B, 1), D) &  (F=k6_xcmplx_0(k2_xcmplx_0(B, 1), C) & v2_matrix17(G, A, B)) ) ) )  => k3_matrix_0(u1_struct_0(A), G, C, D)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_matrix17, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(A), B, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A)))) )  =>  (v3_matrix17(C, A, B) <=>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ( (r2_hidden(k4_tarski(D, E), k2_matrix_0(C)) &  (F=k6_xcmplx_0(k2_xcmplx_0(B, 1), D) & G=k6_xcmplx_0(k2_xcmplx_0(B, 1), E)) )  => k3_matrix_0(u1_struct_0(A), C, D, E)=k3_matrix_0(u1_struct_0(A), C, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_matrix17, axiom,  (! [A] :  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r1_matrix17(A, B, C) <=>  (k3_finseq_1(C)=k1_matrix_0(B) &  ( (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_hidden(k4_tarski(D, E), k2_matrix_0(B)) =>  (k2_xcmplx_0(D, E)=k2_xcmplx_0(k3_finseq_1(C), 1) | k3_matrix_0(A, B, D, E)=k1_funct_1(C, k5_int_1(k6_xcmplx_0(k2_xcmplx_0(D, E), 1), k3_finseq_1(C)))) ) ) ) ) )  &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_hidden(k4_tarski(D, E), k2_matrix_0(B)) & k2_xcmplx_0(D, E)=k2_xcmplx_0(k3_finseq_1(C), 1))  => k3_matrix_0(A, B, D, E)=k1_funct_1(C, k3_finseq_1(C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_matrix17, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => r1_matrix17(u1_struct_0(B), k11_matrix_0(u1_struct_0(B), A, A, C), k5_finseq_2(u1_struct_0(B), A, C))) ) ) ) ) ) ).
fof(t3_matrix17, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(B), A, A) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B)))) )  =>  (r1_matrix17(u1_struct_0(B), E, D) => r1_matrix17(u1_struct_0(B), k2_matrix13(A, A, B, E, C), k9_fvsum_1(B, D, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_matrix17, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (r1_matrix17(u1_struct_0(B), D, C) => r1_matrix17(u1_struct_0(B), k2_matrix_3(B, D), k5_fvsum_1(B, C))) ) ) ) ) ) ) ) ) ).
fof(t5_matrix17, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(B)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(B), A, A) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(B), A, A) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (r1_matrix17(u1_struct_0(B), E, C) & r1_matrix17(u1_struct_0(B), F, D))  => r1_matrix17(u1_struct_0(B), k3_matrix_3(B, E, F), k3_fvsum_1(B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_matrix17, axiom,  (! [A] :  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (v4_matrix17(B, A) <=>  (? [C] :  (m2_finseq_1(C, A) &  (k3_finseq_1(C)=k1_matrix_0(B) & r1_matrix17(A, B, C)) ) ) ) ) ) ) ).
fof(d6_matrix17, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (v5_matrix17(B, A) <=>  (? [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, A, k3_finseq_1(B), k3_finseq_1(B)) & m2_finseq_1(C, k3_finseq_2(A))) )  & r1_matrix17(A, C, B)) ) ) ) ) ) ) ).
fof(d7_matrix17, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (v5_matrix17(B, A) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, A, k3_finseq_1(B), k3_finseq_1(B)) & m2_finseq_1(C, k3_finseq_2(A))) )  =>  (C=k1_matrix17(A, B) <=> r1_matrix17(A, C, B)) ) ) ) ) ) ) ) ).
fof(t6_matrix17, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, B, A, A) & m2_finseq_1(C, k3_finseq_2(B))) )  =>  (! [D] :  (m2_finseq_1(D, B) =>  (r1_matrix17(B, C, D) =>  (r1_xxreal_0(A, k5_numbers) | r1_matrix17(B, k4_matrix_0(B, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(t7_matrix17, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, B, A, A) & m2_finseq_1(C, k3_finseq_2(B))) )  =>  (v4_matrix17(C, B) =>  (r1_xxreal_0(A, k5_numbers) | v4_matrix17(k4_matrix_0(B, C), B)) ) ) ) ) ) ) ) ).
fof(t8_matrix17, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (v5_matrix17(B, u1_struct_0(A)) => v5_matrix17(k5_fvsum_1(A, B), u1_struct_0(A))) ) ) ) ) ).
fof(t9_matrix17, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (v5_matrix17(B, u1_struct_0(A)) => k1_matrix17(u1_struct_0(A), k5_fvsum_1(A, B))=k2_matrix_3(A, k1_matrix17(u1_struct_0(A), B))) ) ) ) ) ).
fof(t10_matrix17, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  ( (v5_matrix17(B, u1_struct_0(A)) &  (v5_matrix17(C, u1_struct_0(A)) & k3_finseq_1(B)=k3_finseq_1(C)) )  => v5_matrix17(k3_fvsum_1(A, B, C), u1_struct_0(A))) ) ) ) ) ) ) ).
fof(t11_matrix17, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (v5_matrix17(B, u1_struct_0(A)) & v5_matrix17(C, u1_struct_0(A))) )  => k1_matrix17(u1_struct_0(A), k3_fvsum_1(A, B, C))=k3_matrix_3(A, k1_matrix17(u1_struct_0(A), B), k1_matrix17(u1_struct_0(A), C))) ) ) ) ) ) ) ).
fof(t12_matrix17, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (v5_matrix17(C, u1_struct_0(A)) => v5_matrix17(k9_fvsum_1(A, C, B), u1_struct_0(A))) ) ) ) ) ) ) ).
fof(t13_matrix17, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (v5_matrix17(C, u1_struct_0(A)) => k1_matrix17(u1_struct_0(A), k9_fvsum_1(A, C, B))=k2_matrix13(k3_finseq_1(C), k3_finseq_1(C), A, k1_matrix17(u1_struct_0(A), C), B)) ) ) ) ) ) ) ).
fof(t14_matrix17, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (v5_matrix17(D, u1_struct_0(A)) => k3_matrix_3(A, k2_matrix13(k3_finseq_1(D), k3_finseq_1(D), A, k1_matrix17(u1_struct_0(A), D), B), k2_matrix13(k3_finseq_1(D), k3_finseq_1(D), A, k1_matrix17(u1_struct_0(A), D), C))=k1_matrix17(u1_struct_0(A), k9_fvsum_1(A, D, k3_rlvect_1(A, B, C)))) ) ) ) ) ) ) ) ) ).
fof(t15_matrix17, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  ( (v5_matrix17(C, u1_struct_0(A)) &  (v5_matrix17(D, u1_struct_0(A)) & k3_finseq_1(C)=k3_finseq_1(D)) )  => k3_matrix_3(A, k2_matrix13(k3_finseq_1(C), k3_finseq_1(C), A, k1_matrix17(u1_struct_0(A), C), B), k2_matrix13(k3_finseq_1(D), k3_finseq_1(D), A, k1_matrix17(u1_struct_0(A), D), B))=k1_matrix17(u1_struct_0(A), k9_fvsum_1(A, k3_fvsum_1(A, C, D), B))) ) ) ) ) ) ) ) ) ).
fof(t16_matrix17, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(A)) =>  ( (v5_matrix17(D, u1_struct_0(A)) &  (v5_matrix17(E, u1_struct_0(A)) & k3_finseq_1(D)=k3_finseq_1(E)) )  => k3_matrix_3(A, k2_matrix13(k3_finseq_1(D), k3_finseq_1(D), A, k1_matrix17(u1_struct_0(A), D), B), k2_matrix13(k3_finseq_1(E), k3_finseq_1(E), A, k1_matrix17(u1_struct_0(A), E), C))=k1_matrix17(u1_struct_0(A), k3_fvsum_1(A, k9_fvsum_1(A, D, B), k9_fvsum_1(A, E, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_matrix17, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (v4_matrix17(C, u1_struct_0(B)) => k4_matrix_0(u1_struct_0(B), C)=C) ) ) ) ) ) ) ).
fof(dt_k1_matrix17, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(B, A))  =>  (v1_matrix_0(k1_matrix17(A, B)) &  (v2_matrix_0(k1_matrix17(A, B), A, k3_finseq_1(B), k3_finseq_1(B)) & m2_finseq_1(k1_matrix17(A, B), k3_finseq_2(A))) ) ) ) ).
fof(rc1_matrix_0, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v2_pre_poly(A) & v1_matrix_0(A)) ) ) ) ) ) ) ) ).
fof(rc2_matrix_0, axiom,  (! [A] :  (? [B] :  (m1_finseq_1(B, k3_finseq_2(A)) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k3_finseq_2(A)) &  (v1_funct_1(B) &  (v1_funcop_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) &  (v1_pre_poly(B) &  (v2_pre_poly(B) & v1_matrix_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_matrix_0, axiom,  (! [A] :  (! [B] :  (m1_finseq_1(B, k3_finseq_2(A)) =>  (v1_matrix_0(B) =>  (v1_funcop_1(B) & v1_matrix_0(B)) ) ) ) ) ).
fof(rc3_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_finseq_1(B, k3_finseq_2(A)) &  (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k3_finseq_2(A)) &  (v1_funct_1(B) &  (v1_funcop_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) &  (v1_pre_poly(B) &  (v2_pre_poly(B) & v1_matrix_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc4_matrix_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) & v7_ordinal1(C)) )  =>  (? [D] :  (m1_finseq_1(D, k3_finseq_2(A)) &  (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, k3_finseq_2(A)) &  (v1_funct_1(D) &  (v1_funcop_1(D) &  (v1_finset_1(D) &  (v1_finseq_1(D) &  (v2_finseq_1(D) &  (v1_pre_poly(D) &  (v2_pre_poly(D) &  (v1_matrix_0(D) & v2_matrix_0(D, A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_matrix_0, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ~ (v1_xboole_0(B))  &  (v1_matrix_0(C) &  (v2_matrix_0(C, B, A, A) & m1_finseq_1(C, k3_finseq_2(B))) ) ) )  =>  (v1_matrix_0(k4_matrix_0(B, C)) & v2_matrix_0(k4_matrix_0(B, C), B, A, A)) ) ) ).
fof(fc2_matrix_0, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(B, k3_finseq_2(A)))  => v1_finset_1(k9_matrix_0(B))) ) ).
fof(fc3_matrix_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  (v1_matrix_0(C) & m1_finseq_1(C, k3_finseq_2(A))) ) )  =>  (v1_relat_1(k2_finseq_3(B, C)) &  (v1_funct_1(k2_finseq_3(B, C)) &  (v1_finseq_1(k2_finseq_3(B, C)) & v1_matrix_0(k2_finseq_3(B, C))) ) ) ) ) ).
fof(d1_matrix_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_matrix_0(A) <=>  (? [B] :  (v7_ordinal1(B) &  (! [C] :  ~ ( (r2_hidden(C, k10_xtuple_0(A)) &  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  ~ ( (D=C & k3_finseq_1(D)=B) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) => v1_matrix_0(k12_finseq_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)), k12_finseq_1(A, B)))) ) ) ) ).
fof(t2_matrix_0, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => v1_matrix_0(k2_finseq_2(C, k2_finseq_2(B, A)))) ) ) ) ) ).
fof(t3_matrix_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => v1_matrix_0(k9_finseq_1(A))) ) ).
fof(t4_matrix_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ( (k3_finseq_1(B)=A & k3_finseq_1(C)=A)  => v1_matrix_0(k10_finseq_1(B, C))) ) ) ) ) ) ) ).
fof(t5_matrix_0, axiom, v1_matrix_0(k1_xboole_0)).
fof(t6_matrix_0, axiom, v1_matrix_0(k10_finseq_1(k1_xboole_0, k1_xboole_0))).
fof(t7_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) => v1_matrix_0(k2_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)), k12_finseq_1(A, B), k12_finseq_1(A, C)))) ) ) ) ) ) ).
fof(t8_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) => v1_matrix_0(k2_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)), k2_finseq_4(A, B, C), k2_finseq_4(A, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t9_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  <=>  (? [C] :  (v7_ordinal1(C) &  (! [D] :  ~ ( (r2_hidden(D, k10_xtuple_0(B)) &  (! [E] :  (m2_finseq_1(E, A) =>  ~ ( (D=E & k3_finseq_1(E)=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(A)))  =>  (v2_matrix_0(D, A, B, C) <=>  (k3_finseq_1(D)=B &  (! [E] :  (m2_finseq_1(E, A) =>  (r2_tarski(E, k10_xtuple_0(D)) => k3_finseq_1(E)=C) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_matrix_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, C) =>  (v1_matrix_0(k5_finseq_2(k4_finseq_2(A, C), B, k5_finseq_2(C, A, D))) &  (v2_matrix_0(k5_finseq_2(k4_finseq_2(A, C), B, k5_finseq_2(C, A, D)), C, B, A) & m2_finseq_1(k5_finseq_2(k4_finseq_2(A, C), B, k5_finseq_2(C, A, D)), k3_finseq_2(C))) ) ) ) ) ) ) ) ) ) ).
fof(t11_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (v1_matrix_0(k12_finseq_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)), B)) &  (v2_matrix_0(k12_finseq_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)), B), A, 1, k3_finseq_1(B)) & m2_finseq_1(k12_finseq_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)), B), k3_finseq_2(A))) ) ) ) ) ) ).
fof(t12_matrix_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, B) =>  (! [D] :  (m2_finseq_1(D, B) =>  ( (k3_finseq_1(C)=A & k3_finseq_1(D)=A)  =>  (v1_matrix_0(k2_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)), C, D)) &  (v2_matrix_0(k2_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)), C, D), B, 2, A) & m2_finseq_1(k2_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)), C, D), k3_finseq_2(B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_matrix_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (v1_matrix_0(k1_xboole_0) &  (v2_matrix_0(k1_xboole_0, B, k5_numbers, A) & m2_finseq_1(k1_xboole_0, k3_finseq_2(B))) ) ) ) ) ) ).
fof(t14_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_matrix_0(k9_finseq_1(k1_xboole_0)) &  (v2_matrix_0(k9_finseq_1(k1_xboole_0), A, 1, k5_numbers) & m2_finseq_1(k9_finseq_1(k1_xboole_0), k3_finseq_2(A))) ) ) ) ).
fof(t15_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (v1_matrix_0(k12_finseq_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)), k12_finseq_1(A, B))) &  (v2_matrix_0(k12_finseq_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)), k12_finseq_1(A, B)), A, 1, 1) & m2_finseq_1(k12_finseq_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)), k12_finseq_1(A, B)), k3_finseq_2(A))) ) ) ) ) ) ).
fof(t16_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_matrix_0(k10_finseq_1(k1_xboole_0, k1_xboole_0)) &  (v2_matrix_0(k10_finseq_1(k1_xboole_0, k1_xboole_0), A, 2, k5_numbers) & m2_finseq_1(k10_finseq_1(k1_xboole_0, k1_xboole_0), k3_finseq_2(A))) ) ) ) ).
fof(t17_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (v1_matrix_0(k12_finseq_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)), k2_finseq_4(A, B, C))) &  (v2_matrix_0(k12_finseq_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)), k2_finseq_4(A, B, C)), A, 1, 2) & m2_finseq_1(k12_finseq_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)), k2_finseq_4(A, B, C)), k3_finseq_2(A))) ) ) ) ) ) ) ) ).
fof(t18_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (v1_matrix_0(k2_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)), k12_finseq_1(A, B), k12_finseq_1(A, C))) &  (v2_matrix_0(k2_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)), k12_finseq_1(A, B), k12_finseq_1(A, C)), A, 2, 1) & m2_finseq_1(k2_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)), k12_finseq_1(A, B), k12_finseq_1(A, C)), k3_finseq_2(A))) ) ) ) ) ) ) ) ).
fof(t19_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (v1_matrix_0(k2_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)), k2_finseq_4(A, B, C), k2_finseq_4(A, D, E))) &  (v2_matrix_0(k2_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)), k2_finseq_4(A, B, C), k2_finseq_4(A, D, E)), A, 2, 2) & m2_finseq_1(k2_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)), k2_finseq_4(A, B, C), k2_finseq_4(A, D, E)), k3_finseq_2(A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_matrix_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_matrix_0(A)) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( ( ~ (r1_xxreal_0(k3_finseq_1(A), k5_numbers))  =>  (B=k1_matrix_0(A) <=>  (? [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  &  (r2_tarski(C, k10_xtuple_0(A)) & k3_finseq_1(C)=B) ) ) ) )  &  (r1_xxreal_0(k3_finseq_1(A), k5_numbers) =>  (B=k1_matrix_0(A) <=> B=k5_numbers) ) ) ) ) ) ) ).
fof(t20_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  ( ~ (r1_xxreal_0(k3_finseq_1(B), k5_numbers))  =>  (! [C] :  (v7_ordinal1(C) =>  ( (v1_matrix_0(B) &  (v2_matrix_0(B, A, k3_finseq_1(B), C) & m2_finseq_1(B, k3_finseq_2(A))) )  <=> C=k1_matrix_0(B)) ) ) ) ) ) ) ) ).
fof(d4_matrix_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_matrix_0(A)) ) )  => k2_matrix_0(A)=k2_zfmisc_1(k4_finseq_1(A), k2_finseq_1(k1_matrix_0(A)))) ) ).
fof(d5_matrix_0, axiom,  (! [A] :  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_hidden(k4_tarski(C, D), k2_matrix_0(B)) =>  (! [E] :  (m1_subset_1(E, A) =>  (E=k3_matrix_0(A, B, C, D) <=>  (? [F] :  (m2_finseq_1(F, A) &  (F=k1_funct_1(B, C) & E=k1_funct_1(F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(A)))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (k1_matrix_0(B)=k1_matrix_0(C) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_hidden(k4_tarski(D, E), k2_matrix_0(B)) => k3_matrix_0(A, B, D, E)=k3_matrix_0(A, C, D, E)) ) ) ) ) ) )  => B=C) ) ) ) ) ) ) ).
fof(t22_matrix_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, B, k5_numbers, A) & m2_finseq_1(C, k3_finseq_2(B))) )  =>  (k3_finseq_1(C)=k5_numbers &  (k1_matrix_0(C)=k5_numbers & k2_matrix_0(C)=k1_xboole_0) ) ) ) ) ) ) ) ).
fof(t23_matrix_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  ( ~ (r1_xxreal_0(A, k5_numbers))  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, C, A, B) & m2_finseq_1(D, k3_finseq_2(C))) )  =>  (k3_finseq_1(D)=A &  (k1_matrix_0(D)=B & k2_matrix_0(D)=k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_matrix_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, B, A, A) & m2_finseq_1(C, k3_finseq_2(B))) )  =>  (k3_finseq_1(C)=A &  (k1_matrix_0(C)=A & k2_matrix_0(C)=k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(A))) ) ) ) ) ) ) ) ).
fof(t25_matrix_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, C, A, B) & m2_finseq_1(D, k3_finseq_2(C))) )  =>  (k3_finseq_1(D)=A & k2_matrix_0(D)=k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(k1_matrix_0(D)))) ) ) ) ) ) ) ) ) ).
fof(t26_matrix_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, C, A, B) & m2_finseq_1(D, k3_finseq_2(C))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, C, A, B) & m2_finseq_1(E, k3_finseq_2(C))) )  => k2_matrix_0(D)=k2_matrix_0(E)) ) ) ) ) ) ) ) ) ) ).
fof(t27_matrix_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, C, A, B) & m2_finseq_1(D, k3_finseq_2(C))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, C, A, B) & m2_finseq_1(E, k3_finseq_2(C))) )  =>  ( (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  (r2_hidden(k4_tarski(F, G), k2_matrix_0(D)) => k3_matrix_0(C, D, F, G)=k3_matrix_0(C, E, F, G)) ) ) ) )  => D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_matrix_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, B, A, A) & m2_finseq_1(C, k3_finseq_2(B))) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_hidden(k4_tarski(D, E), k2_matrix_0(C)) => r2_hidden(k4_tarski(E, D), k2_matrix_0(C))) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(A)))  =>  (C=k4_matrix_0(A, B) <=>  (k3_finseq_1(C)=k1_matrix_0(B) &  ( (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_hidden(k4_tarski(D, E), k2_matrix_0(C)) <=> r2_hidden(k4_tarski(E, D), k2_matrix_0(B))) ) ) ) )  &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_hidden(k4_tarski(E, D), k2_matrix_0(B)) => k3_matrix_0(A, C, D, E)=k3_matrix_0(A, B, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  ( ~ (r1_xxreal_0(k1_matrix_0(B), k5_numbers))  =>  (k3_finseq_1(k4_matrix_0(A, B))=k1_matrix_0(B) & k1_matrix_0(k4_matrix_0(A, B))=k3_finseq_1(B)) ) ) ) ) ) ).
fof(d7_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_1(D, A) =>  (D=k5_matrix_0(A, B, C) <=>  (k3_finseq_1(D)=k1_matrix_0(B) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k2_finseq_1(k1_matrix_0(B))) => k1_funct_1(D, E)=k3_matrix_0(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_1(D, A) =>  (D=k6_matrix_0(A, B, C) <=>  (k3_finseq_1(D)=k3_finseq_1(B) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(B)) => k1_funct_1(D, E)=k3_matrix_0(A, B, E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_matrix_0, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(A)))  =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k3_finseq_1(D)) &  (r1_xxreal_0(1, C) & r1_xxreal_0(C, k1_matrix_0(D))) ) )  => r2_hidden(k4_tarski(B, C), k2_matrix_0(D))) ) ) ) ) ) ) ) ).
fof(t31_matrix_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, E, C, D) & m2_finseq_1(F, k3_finseq_2(E))) )  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, C) &  (r1_xxreal_0(1, B) & r1_xxreal_0(B, D)) ) )  => r2_hidden(k4_tarski(A, B), k2_matrix_0(F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_matrix_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_matrix_0(A)) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_hidden(k4_tarski(B, C), k2_matrix_0(A)) =>  (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k3_finseq_1(A)) &  (r1_xxreal_0(1, C) & r1_xxreal_0(C, k1_matrix_0(A))) ) ) ) ) ) ) ) ) ) ).
fof(t33_matrix_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, E, C, D) & m2_finseq_1(F, k3_finseq_2(E))) )  =>  (r2_hidden(k4_tarski(A, B), k2_matrix_0(F)) =>  (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, C) &  (r1_xxreal_0(1, B) & r1_xxreal_0(B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_matrix_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  => k9_matrix_0(A)=k3_card_3(k2_funct_6(A))) ) ).
fof(t34_matrix_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, k3_finseq_2(B)) => m2_finseq_1(k1_funct_1(C, A), B)) ) ) ) ) ) ).
fof(t36_matrix_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, B) =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(B)))  =>  ( (r2_tarski(A, k4_finseq_1(D)) & k1_funct_1(D, A)=C)  => k3_finseq_1(C)=k1_matrix_0(D)) ) ) ) ) ) ) ) ) ).
fof(t37_matrix_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m2_finseq_1(D, C) =>  (! [E] :  ( (v1_matrix_0(E) & m2_finseq_1(E, k3_finseq_2(C)))  =>  ( (r2_tarski(A, k4_finseq_1(E)) &  (k1_funct_1(E, A)=D & r2_tarski(B, k4_finseq_1(D))) )  => r2_hidden(k4_tarski(A, B), k2_matrix_0(E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_matrix_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m2_finseq_1(D, C) =>  (! [E] :  ( (v1_matrix_0(E) & m2_finseq_1(E, k3_finseq_2(C)))  =>  ( (r2_hidden(k4_tarski(A, B), k2_matrix_0(E)) & k1_funct_1(E, A)=D)  =>  (k3_finseq_1(D)=k1_matrix_0(E) & r2_tarski(B, k4_finseq_1(D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  => r1_xxreal_0(k4_card_1(k9_matrix_0(B)), k3_xcmplx_0(k3_finseq_1(B), k1_matrix_0(B)))) ) ) ) ).
fof(t41_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(A)))  =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k3_finseq_1(D)) &  (r1_xxreal_0(1, C) & r1_xxreal_0(C, k1_matrix_0(D))) ) )  => r2_tarski(k3_matrix_0(A, D, B, C), k9_matrix_0(D))) ) ) ) ) ) ) ) ) ).
fof(t42_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(D, k4_finseq_1(B)) & r2_tarski(C, k2_finseq_1(k1_matrix_0(B))))  => k1_funct_1(k8_matrix_0(A, B, C), D)=k1_funct_1(k7_matrix_0(A, B, D), C)) ) ) ) ) ) ) ) ) ).
fof(d10_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (v3_relat_1(B) <=>  (k5_numbers=k3_finseq_1(B) | k5_numbers=k1_matrix_0(B)) ) ) ) ) ) ).
fof(t43_matrix_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m2_finseq_1(D, C) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  ( (v1_matrix_0(G) & m2_finseq_1(G, k3_finseq_2(C)))  =>  ~ ( (r1_xboole_0(k10_xtuple_0(D), k10_xtuple_0(k8_matrix_0(C, G, E))) &  (k7_partfun1(C, D, A)=k3_matrix_0(C, G, B, F) &  (r2_tarski(A, k4_finseq_1(D)) &  (r2_tarski(B, k4_finseq_1(G)) & E=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  ( ~ (v3_relat_1(B))  <=>  ( ~ (r1_xxreal_0(k3_finseq_1(B), k5_numbers))  &  ~ (r1_xxreal_0(k1_matrix_0(B), k5_numbers)) ) ) ) ) ) ) ).
fof(t45_matrix_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, C, k5_numbers, A) & m2_finseq_1(D, k3_finseq_2(C))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, C, k5_numbers, B) & m2_finseq_1(E, k3_finseq_2(C))) )  => D=E) ) ) ) ) ) ) ) ) ) ).
fof(d11_matrix_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] : k10_matrix_0(A, B, C)=k2_finseq_2(A, k2_finseq_2(B, C))) ) ) ) ) ).
fof(t46_matrix_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  (m1_subset_1(F, E) =>  (r2_hidden(k4_tarski(A, B), k2_matrix_0(k11_matrix_0(E, C, D, F))) => k3_matrix_0(E, k11_matrix_0(E, C, D, F), A, B)=F) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_matrix_0, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k12_matrix_0(A, B, C, D)=k10_finseq_1(k10_finseq_1(A, B), k10_finseq_1(C, D))) ) ) ) ).
fof(t47_matrix_0, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (k3_finseq_1(k12_matrix_0(A, B, C, D))=2 &  (k1_matrix_0(k12_matrix_0(A, B, C, D))=2 & k2_matrix_0(k12_matrix_0(A, B, C, D))=k2_zfmisc_1(k2_finseq_1(2), k2_finseq_1(2))) ) ) ) ) ) ).
fof(t48_matrix_0, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (r2_hidden(k4_tarski(1, 1), k2_matrix_0(k12_matrix_0(A, B, C, D))) &  (r2_hidden(k4_tarski(1, 2), k2_matrix_0(k12_matrix_0(A, B, C, D))) &  (r2_hidden(k4_tarski(2, 1), k2_matrix_0(k12_matrix_0(A, B, C, D))) & r2_hidden(k4_tarski(2, 2), k2_matrix_0(k12_matrix_0(A, B, C, D)))) ) ) ) ) ) ) ).
fof(t49_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (r2_hidden(k4_tarski(1, 1), k2_matrix_0(k14_matrix_0(A, 1, k13_matrix_0(A, B)))) & k3_matrix_0(A, k14_matrix_0(A, 1, k13_matrix_0(A, B)), 1, 1)=B) ) ) ) ) ).
fof(t50_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (k3_matrix_0(A, k15_matrix_0(A, B, C, D, E), 1, 1)=B &  (k3_matrix_0(A, k15_matrix_0(A, B, C, D, E), 1, 2)=C &  (k3_matrix_0(A, k15_matrix_0(A, B, C, D, E), 2, 1)=D & k3_matrix_0(A, k15_matrix_0(A, B, C, D, E), 2, 2)=E) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_matrix_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(B)))  =>  (k3_finseq_1(C)=A =>  (v1_matrix_0(C) &  (v2_matrix_0(C, B, A, k1_matrix_0(C)) & m2_finseq_1(C, k3_finseq_2(B))) ) ) ) ) ) ) ) ) ).
fof(t52_matrix_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, C, A, B) & m2_finseq_1(D, k3_finseq_2(C))) )  =>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k2_finseq_1(A)) => k1_funct_1(D, E)=k7_matrix_0(C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_matrix_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(B)))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(B)))  =>  (D=k16_matrix_0(A, B, C) <=>  (k3_finseq_1(D)=k3_finseq_1(C) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(C)) => k1_funct_1(D, E)=k2_finseq_3(A, k7_matrix_0(B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(A)))  =>  ( (k4_matrix_0(A, B)=k4_matrix_0(A, C) & k3_finseq_1(B)=k3_finseq_1(C))  => B=C) ) ) ) ) ) ) ).
fof(t54_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  ( ~ (r1_xxreal_0(k1_matrix_0(B), k5_numbers))  =>  (k3_finseq_1(k4_matrix_0(A, B))=k1_matrix_0(B) & k1_matrix_0(k4_matrix_0(A, B))=k3_finseq_1(B)) ) ) ) ) ) ).
fof(t55_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(A)))  =>  (k4_matrix_0(A, B)=k4_matrix_0(A, C) =>  (r1_xxreal_0(k1_matrix_0(B), k5_numbers) |  (r1_xxreal_0(k1_matrix_0(C), k5_numbers) | B=C) ) ) ) ) ) ) ) ) ).
fof(t56_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(A)))  =>  ~ ( ( ~ (r1_xxreal_0(k1_matrix_0(B), k5_numbers))  &  ( ~ (r1_xxreal_0(k1_matrix_0(C), k5_numbers))  &  ~ ( (B=C <=>  (k4_matrix_0(A, B)=k4_matrix_0(A, C) & k1_matrix_0(B)=k1_matrix_0(C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  ~ ( ( ~ (r1_xxreal_0(k3_finseq_1(B), k5_numbers))  &  ( ~ (r1_xxreal_0(k1_matrix_0(B), k5_numbers))  &  ~ (k4_matrix_0(A, k4_matrix_0(A, B))=B) ) ) ) ) ) ) ) ).
fof(t58_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => k7_matrix_0(A, B, C)=k8_matrix_0(A, k4_matrix_0(A, B), C)) ) ) ) ) ) ) ).
fof(t59_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k2_finseq_1(k1_matrix_0(B))) => k7_matrix_0(A, k4_matrix_0(A, B), C)=k8_matrix_0(A, B, C)) ) ) ) ) ) ) ).
fof(t60_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => k1_funct_1(B, C)=k7_matrix_0(A, B, C)) ) ) ) ) ) ) ).
fof(d14_matrix_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, D, C, C) & m2_finseq_1(E, k3_finseq_2(D))) )  => k18_matrix_0(A, B, C, D, E)=k16_matrix_0(B, D, k17_matrix_0(D, A, E))) ) ) ) ) ) ) ) ) ) ).
fof(t61_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (r2_tarski(C, k2_finseq_1(k1_matrix_0(B))))  => k16_matrix_0(C, A, B)=B) ) ) ) ) ) ) ).
fof(t62_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(B)) => k7_matrix_0(A, k16_matrix_0(C, A, B), D)=k2_finseq_3(C, k7_matrix_0(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t63_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(C, k2_finseq_1(k1_matrix_0(B))) & k1_matrix_0(B)=k1_nat_1(D, 1))  => k1_matrix_0(k16_matrix_0(C, A, B))=D) ) ) ) ) ) ) ) ) ).
fof(t64_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k2_finseq_1(k1_matrix_0(B))) =>  (r1_xxreal_0(k1_matrix_0(B), k5_numbers) | k1_matrix_0(B)=k1_nat_1(k1_matrix_0(k16_matrix_0(C, A, B)), 1)) ) ) ) ) ) ) ) ).
fof(t65_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(k1_matrix_0(B), 1))  &  (r2_tarski(C, k2_finseq_1(k1_matrix_0(B))) & v3_relat_1(k16_matrix_0(C, A, B))) ) ) ) ) ) ) ) ) ).
fof(t66_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(C, k2_finseq_1(k1_matrix_0(B))) &  (r2_tarski(D, k4_finseq_1(B)) & r2_tarski(E, k2_finseq_1(k1_matrix_0(k16_matrix_0(C, A, B))))) )  =>  (r1_xxreal_0(k1_matrix_0(B), 1) | k3_matrix_0(A, k16_matrix_0(C, A, B), D, E)=k1_funct_1(k2_finseq_3(C, k7_matrix_0(A, B, D)), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(C, k2_finseq_1(k1_matrix_0(B))) &  (k1_matrix_0(B)=k1_nat_1(E, 1) & r1_xxreal_0(1, D)) )  =>  (r1_xxreal_0(E, k5_numbers) |  (r1_xxreal_0(C, D) |  (k8_matrix_0(A, k16_matrix_0(C, A, B), D)=k8_matrix_0(A, B, D) &  (r2_tarski(D, k2_finseq_1(k1_matrix_0(k16_matrix_0(C, A, B)))) & r2_tarski(D, k2_finseq_1(k1_matrix_0(B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(C, k2_finseq_1(k1_matrix_0(B))) &  (k1_matrix_0(B)=k1_nat_1(E, 1) &  (r1_xxreal_0(C, D) & r1_xxreal_0(D, E)) ) )  =>  (r1_xxreal_0(E, k5_numbers) |  (k8_matrix_0(A, k16_matrix_0(C, A, B), D)=k8_matrix_0(A, B, k1_nat_1(D, 1)) &  (r2_tarski(D, k2_finseq_1(k1_matrix_0(k16_matrix_0(C, A, B)))) & r2_tarski(k1_nat_1(D, 1), k2_finseq_1(k1_matrix_0(B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t69_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r2_tarski(C, k2_finseq_1(k1_matrix_0(B))) &  (k1_matrix_0(B)=k1_nat_1(F, 1) &  (r2_tarski(E, k4_finseq_1(B)) & r1_xxreal_0(1, D)) ) )  =>  (r1_xxreal_0(F, k5_numbers) |  (r1_xxreal_0(C, D) |  (k3_matrix_0(A, k16_matrix_0(C, A, B), E, D)=k3_matrix_0(A, B, E, D) & r2_tarski(D, k2_finseq_1(k1_matrix_0(B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r2_tarski(C, k2_finseq_1(k1_matrix_0(B))) &  (k1_matrix_0(B)=k1_nat_1(F, 1) &  (r2_tarski(E, k4_finseq_1(B)) &  (r1_xxreal_0(C, D) & r1_xxreal_0(D, F)) ) ) )  =>  (r1_xxreal_0(F, k5_numbers) |  (k3_matrix_0(A, k16_matrix_0(C, A, B), E, D)=k3_matrix_0(A, B, E, k1_nat_1(D, 1)) & r2_tarski(k1_nat_1(D, 1), k2_finseq_1(k1_matrix_0(B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (k1_matrix_0(B)=k1_nat_1(D, 1) & r2_tarski(C, k2_finseq_1(D)))  =>  (r1_xxreal_0(D, k5_numbers) |  (k8_matrix_0(A, k16_matrix_0(1, A, B), C)=k8_matrix_0(A, B, k1_nat_1(C, 1)) &  (r2_tarski(C, k2_finseq_1(k1_matrix_0(k16_matrix_0(1, A, B)))) & r2_tarski(k1_nat_1(C, 1), k2_finseq_1(k1_matrix_0(B)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t72_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (k1_matrix_0(B)=k1_nat_1(E, 1) &  (r2_tarski(C, k2_finseq_1(E)) & r2_tarski(D, k4_finseq_1(B))) )  =>  (r1_xxreal_0(E, k5_numbers) |  (k3_matrix_0(A, k16_matrix_0(1, A, B), D, C)=k3_matrix_0(A, B, D, k1_nat_1(C, 1)) & r2_tarski(1, k2_finseq_1(k1_matrix_0(B)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t73_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (k1_matrix_0(B)=k1_nat_1(D, 1) & r2_tarski(C, k2_finseq_1(D)))  =>  (r1_xxreal_0(D, k5_numbers) |  (k8_matrix_0(A, k16_matrix_0(k1_matrix_0(B), A, B), C)=k8_matrix_0(A, B, C) & r2_tarski(C, k2_finseq_1(k1_matrix_0(k16_matrix_0(k1_matrix_0(B), A, B))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t74_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (k1_matrix_0(B)=k1_nat_1(E, 1) &  (r2_tarski(C, k2_finseq_1(E)) & r2_tarski(D, k4_finseq_1(B))) )  =>  (r1_xxreal_0(E, k5_numbers) |  (r2_tarski(C, k2_finseq_1(k1_matrix_0(B))) &  (k3_matrix_0(A, k16_matrix_0(k1_matrix_0(B), A, B), D, C)=k3_matrix_0(A, B, D, C) & r2_tarski(k1_matrix_0(B), k2_finseq_1(k1_matrix_0(B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_matrix_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m2_finseq_1(E, C) =>  (! [F] :  ( (v1_matrix_0(F) & m2_finseq_1(F, k3_finseq_2(C)))  =>  ( (r1_xboole_0(k10_xtuple_0(E), k10_xtuple_0(k8_matrix_0(C, F, A))) &  (r2_tarski(k7_partfun1(C, E, B), k10_xtuple_0(k7_matrix_0(C, F, D))) &  (r2_tarski(B, k4_finseq_1(E)) &  (r2_tarski(A, k2_finseq_1(k1_matrix_0(F))) & r2_tarski(D, k4_finseq_1(F))) ) ) )  =>  (r1_xxreal_0(k1_matrix_0(F), 1) | r2_tarski(k7_partfun1(C, E, B), k10_xtuple_0(k7_matrix_0(C, k16_matrix_0(A, C, F), D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_matrix_0, axiom,  (? [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, f1_s1_matrix_0, f2_s1_matrix_0, f3_s1_matrix_0) & m2_finseq_1(A, k3_finseq_2(f1_s1_matrix_0))) )  &  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_hidden(k4_tarski(B, C), k2_matrix_0(A)) => k3_matrix_0(f1_s1_matrix_0, A, B, C)=f4_s1_matrix_0(B, C)) ) ) ) ) ) ) ).
fof(s2_matrix_0, axiom,  ( (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r2_hidden(k4_tarski(A, B), k2_zfmisc_1(k2_finseq_1(f2_s2_matrix_0), k2_finseq_1(f3_s2_matrix_0))) &  (! [C] :  (m1_subset_1(C, f1_s2_matrix_0) =>  ~ (p1_s2_matrix_0(A, B, C)) ) ) ) ) ) ) ) )  =>  (? [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, f1_s2_matrix_0, f2_s2_matrix_0, f3_s2_matrix_0) & m2_finseq_1(A, k3_finseq_2(f1_s2_matrix_0))) )  &  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_hidden(k4_tarski(B, C), k2_matrix_0(A)) => p1_s2_matrix_0(B, C, k3_matrix_0(f1_s2_matrix_0, A, B, C))) ) ) ) ) ) ) ) ).
fof(dt_k1_matrix_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_matrix_0(A)) ) )  => v7_ordinal1(k1_matrix_0(A))) ) ).
fof(dt_k3_matrix_0, axiom,  (! [A, B, C, D] :  ( ( (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(A)))  &  (v7_ordinal1(C) & v7_ordinal1(D)) )  => m1_subset_1(k3_matrix_0(A, B, C, D), A)) ) ).
fof(dt_f1_s1_matrix_0, axiom,  ~ (v1_xboole_0(f1_s1_matrix_0)) ).
fof(dt_f2_s1_matrix_0, axiom, v7_ordinal1(f2_s1_matrix_0)).
fof(dt_f3_s1_matrix_0, axiom, v7_ordinal1(f3_s1_matrix_0)).
fof(dt_f4_s1_matrix_0, axiom,  (! [A, B] : m1_subset_1(f4_s1_matrix_0(A, B), f1_s1_matrix_0)) ).
fof(dt_f1_s2_matrix_0, axiom,  ~ (v1_xboole_0(f1_s2_matrix_0)) ).
fof(dt_f2_s2_matrix_0, axiom, v7_ordinal1(f2_s2_matrix_0)).
fof(dt_f3_s2_matrix_0, axiom, v7_ordinal1(f3_s2_matrix_0)).
fof(dt_k4_matrix_0, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(A))) )  =>  (v1_matrix_0(k4_matrix_0(A, B)) & m2_finseq_1(k4_matrix_0(A, B), k3_finseq_2(A))) ) ) ).
fof(dt_k5_matrix_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(A)))  & v7_ordinal1(C)) )  => m2_finseq_1(k5_matrix_0(A, B, C), A)) ) ).
fof(dt_k6_matrix_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(A)))  & v7_ordinal1(C)) )  => m2_finseq_1(k6_matrix_0(A, B, C), A)) ) ).
fof(dt_k7_matrix_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(A)))  & v7_ordinal1(C)) )  => m2_finseq_2(k7_matrix_0(A, B, C), A, k4_finseq_2(k1_matrix_0(B), A))) ) ).
fof(redefinition_k7_matrix_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(A)))  & v7_ordinal1(C)) )  => k7_matrix_0(A, B, C)=k5_matrix_0(A, B, C)) ) ).
fof(dt_k8_matrix_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(A)))  & v7_ordinal1(C)) )  => m2_finseq_2(k8_matrix_0(A, B, C), A, k4_finseq_2(k3_finseq_1(B), A))) ) ).
fof(redefinition_k8_matrix_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(A)))  & v7_ordinal1(C)) )  => k8_matrix_0(A, B, C)=k6_matrix_0(A, B, C)) ) ).
fof(redefinition_v3_matrix_0, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(A))) )  =>  (v3_matrix_0(B, A) <=> v3_relat_1(B)) ) ) ).
fof(dt_k10_matrix_0, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  =>  (v1_relat_1(k10_matrix_0(A, B, C)) &  (v1_funct_1(k10_matrix_0(A, B, C)) &  (v1_finseq_1(k10_matrix_0(A, B, C)) & v1_matrix_0(k10_matrix_0(A, B, C))) ) ) ) ) ).
fof(dt_k11_matrix_0, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  (v7_ordinal1(C) & m1_subset_1(D, A)) ) )  =>  (v1_matrix_0(k11_matrix_0(A, B, C, D)) &  (v2_matrix_0(k11_matrix_0(A, B, C, D), A, B, C) & m2_finseq_1(k11_matrix_0(A, B, C, D), k3_finseq_2(A))) ) ) ) ).
fof(redefinition_k11_matrix_0, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  (v7_ordinal1(C) & m1_subset_1(D, A)) ) )  => k11_matrix_0(A, B, C, D)=k10_matrix_0(B, C, D)) ) ).
fof(dt_k12_matrix_0, axiom,  (! [A, B, C, D] :  (v1_relat_1(k12_matrix_0(A, B, C, D)) &  (v1_funct_1(k12_matrix_0(A, B, C, D)) &  (v1_finseq_1(k12_matrix_0(A, B, C, D)) & v1_matrix_0(k12_matrix_0(A, B, C, D))) ) ) ) ).
fof(dt_k13_matrix_0, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => m2_finseq_2(k13_matrix_0(A, B), A, k4_finseq_2(1, A))) ) ).
fof(redefinition_k13_matrix_0, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => k13_matrix_0(A, B)=k5_finseq_1(B)) ) ).
fof(dt_k14_matrix_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) & m1_subset_1(C, k4_finseq_2(B, A))) )  =>  (v1_matrix_0(k14_matrix_0(A, B, C)) &  (v2_matrix_0(k14_matrix_0(A, B, C), A, 1, B) & m2_finseq_1(k14_matrix_0(A, B, C), k3_finseq_2(A))) ) ) ) ).
fof(redefinition_k14_matrix_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) & m1_subset_1(C, k4_finseq_2(B, A))) )  => k14_matrix_0(A, B, C)=k5_finseq_1(C)) ) ).
fof(dt_k15_matrix_0, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (m1_subset_1(C, A) &  (m1_subset_1(D, A) & m1_subset_1(E, A)) ) ) )  =>  (v1_matrix_0(k15_matrix_0(A, B, C, D, E)) &  (v2_matrix_0(k15_matrix_0(A, B, C, D, E), A, 2, 2) & m2_finseq_1(k15_matrix_0(A, B, C, D, E), k3_finseq_2(A))) ) ) ) ).
fof(redefinition_k15_matrix_0, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (m1_subset_1(C, A) &  (m1_subset_1(D, A) & m1_subset_1(E, A)) ) ) )  => k15_matrix_0(A, B, C, D, E)=k12_matrix_0(B, C, D, E)) ) ).
fof(dt_k16_matrix_0, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ~ (v1_xboole_0(B))  &  (v1_matrix_0(C) & m1_finseq_1(C, k3_finseq_2(B))) ) )  =>  (v1_matrix_0(k16_matrix_0(A, B, C)) & m2_finseq_1(k16_matrix_0(A, B, C), k3_finseq_2(B))) ) ) ).
fof(dt_k17_matrix_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  (v1_matrix_0(C) & m1_finseq_1(C, k3_finseq_2(A))) ) )  =>  (v1_matrix_0(k17_matrix_0(A, B, C)) & m2_finseq_1(k17_matrix_0(A, B, C), k3_finseq_2(A))) ) ) ).
fof(redefinition_k17_matrix_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  (v1_matrix_0(C) & m1_finseq_1(C, k3_finseq_2(A))) ) )  => k17_matrix_0(A, B, C)=k2_finseq_3(B, C)) ) ).
fof(dt_k18_matrix_0, axiom,  (! [A, B, C, D, E] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  ( ~ (v1_xboole_0(D))  &  (v1_matrix_0(E) &  (v2_matrix_0(E, D, C, C) & m1_finseq_1(E, k3_finseq_2(D))) ) ) ) ) )  =>  (v1_matrix_0(k18_matrix_0(A, B, C, D, E)) & m2_finseq_1(k18_matrix_0(A, B, C, D, E), k3_finseq_2(D))) ) ) ).
fof(t35_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, k3_finseq_2(A)) => k9_matrix_0(B)=k3_tarski(a_2_0_matrix_0(A, B))) ) ) ) ).
fof(t39_matrix_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  => k9_matrix_0(B)=a_2_1_matrix_0(A, B)) ) ) ) ).
fof(fraenkel_a_2_0_matrix_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(C, k3_finseq_2(B)))  =>  (r2_hidden(A, a_2_0_matrix_0(B, C)) <=>  (? [D] :  (m2_finseq_2(D, B, k3_finseq_2(B)) &  (A=k10_xtuple_0(D) & r2_tarski(D, k10_xtuple_0(C))) ) ) ) ) ) ).
fof(fraenkel_a_2_1_matrix_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(B))) )  =>  (r2_hidden(A, a_2_1_matrix_0(B, C)) <=>  (? [D, E] :  ( (v7_ordinal1(D) & v7_ordinal1(E))  &  (A=k3_matrix_0(B, C, D, E) & r2_hidden(k4_tarski(D, E), k2_matrix_0(C))) ) ) ) ) ) ).
fof(fc1_matrix_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  & v7_ordinal1(B))  =>  ~ (v1_xboole_0(k1_matrix_1(A, B))) ) ) ).
fof(rc1_matrix_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ( ~ (v2_struct_0(B))  & l6_algstr_0(B)) )  =>  (? [C] :  (m1_finseq_1(C, k3_finseq_2(u1_struct_0(B))) &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, k3_finseq_2(u1_struct_0(B))) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_finseq_1(C) &  (v2_finseq_1(C) &  (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & v1_matrix_1(C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_matrix_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_finseq_1(C, k3_finseq_2(u1_struct_0(B))) =>  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & v1_matrix_1(C, B)) )  =>  (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) &  (v1_matrix_1(C, B) &  (v2_matrix_1(C, A, B) & v3_matrix_1(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(rc2_matrix_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (? [C] :  (m1_finseq_1(C, k3_finseq_2(u1_struct_0(B))) &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, k3_finseq_2(u1_struct_0(B))) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_finseq_1(C) &  (v2_finseq_1(C) &  (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) &  (v2_matrix_1(C, A, B) & v3_matrix_1(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_matrix_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v4_matrix_1(A)) ) ).
fof(fc2_matrix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (v1_xboole_0(k9_matrix_1(A)))  & v4_matrix_1(k9_matrix_1(A))) ) ) ).
fof(fc3_matrix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (v2_struct_0(k10_matrix_1(A)))  & v15_algstr_0(k10_matrix_1(A))) ) ) ).
fof(fc4_matrix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v15_algstr_0(k10_matrix_1(A)) &  (v2_group_1(k10_matrix_1(A)) & v3_group_1(k10_matrix_1(A))) ) ) ) ).
fof(fc5_matrix_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_finset_1(k9_matrix_1(A))) ) ).
fof(d1_matrix_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (v7_ordinal1(B) => k1_matrix_1(A, B)=k4_finseq_2(B, k4_finseq_2(B, u1_struct_0(A)))) ) ) ) ).
fof(d2_matrix_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (v7_ordinal1(B) => k2_matrix_1(A, B)=k5_finseq_2(k4_finseq_2(B, u1_struct_0(A)), B, k5_finseq_2(u1_struct_0(A), B, k4_struct_0(A)))) ) ) ) ).
fof(d3_matrix_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(A), B, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A)))) )  =>  (C=k3_matrix_1(A, B) <=>  ( (! [D] :  (v7_ordinal1(D) =>  (r2_hidden(k4_tarski(D, D), k2_matrix_0(C)) => k3_matrix_0(u1_struct_0(A), C, D, D)=k5_struct_0(A)) ) )  &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_hidden(k4_tarski(D, E), k2_matrix_0(C)) =>  (D=E | k3_matrix_0(u1_struct_0(A), C, D, E)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_matrix_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(A), B, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(A), B, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A)))) )  =>  (D=k4_matrix_1(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (r2_hidden(k4_tarski(E, F), k2_matrix_0(C)) => k3_matrix_0(u1_struct_0(A), D, E, F)=k4_algstr_0(A, k3_matrix_0(u1_struct_0(A), C, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_matrix_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(A), B, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(A), B, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A)))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(A), B, B) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(A)))) )  =>  (E=k5_matrix_1(A, B, C, D) <=>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  (r2_hidden(k4_tarski(F, G), k2_matrix_0(C)) => k3_matrix_0(u1_struct_0(A), E, F, G)=k1_algstr_0(A, k3_matrix_0(u1_struct_0(A), C, F, G), k3_matrix_0(u1_struct_0(A), D, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_matrix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l6_algstr_0(D))  =>  (r2_hidden(k4_tarski(A, B), k2_matrix_0(k2_matrix_1(D, C))) => k3_matrix_0(u1_struct_0(D), k2_matrix_1(D, C), A, B)=k4_struct_0(D)) ) ) ) ) ) ) ) ) ).
fof(t2_matrix_1, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l6_algstr_0(C))  =>  (m1_subset_1(A, k1_matrix_1(C, B)) <=>  (v1_matrix_0(A) &  (v2_matrix_0(A, u1_struct_0(C), B, B) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(C)))) ) ) ) ) ) ) ) ).
fof(d6_matrix_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (v1_matrix_1(B, A) <=>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_hidden(k4_tarski(C, D), k2_matrix_0(B)) =>  (k3_matrix_0(u1_struct_0(A), B, C, D)=k4_struct_0(A) | C=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_matrix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  => k5_matrix_1(B, A, C, D)=k5_matrix_1(B, A, D, C)) ) ) ) ) ) ) ) ).
fof(t4_matrix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(B), A, A) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B)))) )  => k5_matrix_1(B, A, k5_matrix_1(B, A, C, D), E)=k5_matrix_1(B, A, C, k5_matrix_1(B, A, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t5_matrix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  => k5_matrix_1(B, A, C, k2_matrix_1(B, A))=C) ) ) ) ) ) ).
fof(t6_matrix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  => k5_matrix_1(B, A, C, k4_matrix_1(B, A, C))=k2_matrix_1(B, A)) ) ) ) ) ) ).
fof(d7_matrix_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v8_algstr_0(C) &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) ) ) )  =>  (C=k6_matrix_1(A, B) <=>  (u1_struct_0(C)=k1_matrix_1(A, B) &  ( (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(A), B, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A)))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(A), B, B) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(A)))) )  => k1_binop_1(u1_algstr_0(C), D, E)=k5_matrix_1(A, B, D, E)) ) ) )  & k4_struct_0(C)=k2_matrix_1(A, B)) ) ) ) ) ) ) ) ) ).
fof(d8_matrix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (v2_matrix_1(C, A, B) <=>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_hidden(k4_tarski(D, E), k2_matrix_0(C)) =>  (r1_xxreal_0(D, E) | k3_matrix_0(u1_struct_0(B), C, D, E)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_matrix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (v3_matrix_1(C, A, B) <=>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_hidden(k4_tarski(D, E), k2_matrix_0(C)) =>  (r1_xxreal_0(E, D) | k3_matrix_0(u1_struct_0(B), C, D, E)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_matrix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k5_matrix_1(B, A, k11_matrix_0(u1_struct_0(B), A, A, C), k11_matrix_0(u1_struct_0(B), A, A, D))=k11_matrix_0(u1_struct_0(B), A, A, k3_rlvect_1(B, C, D))) ) ) ) ) ) ) ) ).
fof(d10_matrix_1, axiom,  (! [A] :  (v4_matrix_1(A) <=>  (? [B] :  (v7_ordinal1(B) &  (! [C] :  (r2_tarski(C, A) =>  (v1_funct_1(C) &  (v1_funct_2(C, k2_finseq_1(B), k2_finseq_1(B)) &  (v3_funct_2(C, k2_finseq_1(B), k2_finseq_1(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(B), k2_finseq_1(B))))) ) ) ) ) ) ) ) ) ).
fof(d11_matrix_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_matrix_1(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (B=k7_matrix_1(A) <=>  (? [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  &  (r2_tarski(C, A) & B=k3_finseq_1(C)) ) ) ) ) ) ) ) ).
fof(t8_matrix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  ( ( ~ (v1_xboole_0(B))  & v4_matrix_1(B))  & k8_matrix_1(B)=A) ) ) ) ).
fof(d12_matrix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (B=k9_matrix_1(A) <=>  (! [C] :  (r2_tarski(C, B) <=>  (v1_funct_1(C) &  (v1_funct_2(C, k2_finseq_1(A), k2_finseq_1(A)) &  (v3_funct_2(C, k2_finseq_1(A), k2_finseq_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(A))))) ) ) ) ) ) ) ) ) ).
fof(t9_matrix_1, axiom,  (! [A] :  (v7_ordinal1(A) => k8_matrix_1(k9_matrix_1(A))=A) ) ).
fof(t10_matrix_1, axiom, k9_matrix_1(1)=k1_tarski(k1_finseq_2(1))).
fof(d13_matrix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v15_algstr_0(B) & l3_algstr_0(B))  =>  (B=k10_matrix_1(A) <=>  (u1_struct_0(B)=k9_matrix_1(A) &  (! [C] :  (m1_matrix_1(C, k9_matrix_1(A)) =>  (! [D] :  (m1_matrix_1(D, k9_matrix_1(A)) => k1_binop_1(u2_algstr_0(B), C, D)=k1_partfun1(k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t11_matrix_1, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k1_finseq_2(A), u1_struct_0(k10_matrix_1(A)))) ) ).
fof(t12_matrix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_matrix_1(B, k9_matrix_1(A)) =>  (k3_relat_1(k1_finseq_2(A), B)=B & k3_relat_1(B, k1_finseq_2(A))=B) ) ) ) ) ).
fof(t13_matrix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_matrix_1(B, k9_matrix_1(A)) =>  (k1_partfun1(k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_funct_2(k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), B), B)=k1_finseq_2(A) & k1_partfun1(k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), B, k2_funct_2(k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), B))=k1_finseq_2(A)) ) ) ) ) ).
fof(t14_matrix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_matrix_1(B, k9_matrix_1(A)) => m1_subset_1(k2_funct_2(k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), B), u1_struct_0(k10_matrix_1(A)))) ) ) ) ).
fof(t15_matrix_1, axiom,  (! [A] :  (v7_ordinal1(A) => k1_finseq_2(A)=k1_group_1(k10_matrix_1(A))) ) ).
fof(d14_matrix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_finseq_1(A), k2_finseq_1(A)) &  (v3_funct_2(B, k2_finseq_1(A), k2_finseq_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(A))))) ) )  =>  (v5_matrix_1(B, A) <=>  (? [C] :  (v7_ordinal1(C) &  (? [D] :  (v7_ordinal1(D) &  (r2_tarski(C, k9_xtuple_0(B)) &  (r2_tarski(D, k9_xtuple_0(B)) &  ( ~ (C=D)  &  (k1_funct_1(B, C)=D &  (k1_funct_1(B, D)=C &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k9_xtuple_0(B)) =>  (E=C |  (E=D | k1_funct_1(B, E)=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_matrix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_finseq_1(A), k2_finseq_1(A)) &  (v3_funct_2(B, k2_finseq_1(A), k2_finseq_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(A))))) ) )  =>  (v6_matrix_1(B, A) <=>  (? [C] :  (m2_finseq_1(C, u1_struct_0(k10_matrix_1(A))) &  (k4_nat_d(k3_finseq_1(C), 2)=k5_numbers &  (B=k3_group_4(k10_matrix_1(A), C) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(D, k4_finseq_1(C)) &  (! [E] :  (m1_matrix_1(E, k9_matrix_1(A)) =>  ~ ( (k1_funct_1(C, D)=E & v5_matrix_1(E, k8_matrix_1(k9_matrix_1(A)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_matrix_1, axiom,  (! [A] :  (v7_ordinal1(A) => v6_matrix_1(k6_partfun1(k2_finseq_1(A)), A)) ) ).
fof(d16_matrix_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_matrix_1(D, k9_matrix_1(B)) =>  ( (v6_matrix_1(D, k8_matrix_1(k9_matrix_1(B))) => k11_matrix_1(A, B, C, D)=C)  &  ( ~ (v6_matrix_1(D, k8_matrix_1(k9_matrix_1(B))))  => k11_matrix_1(A, B, C, D)=k4_algstr_0(A, C)) ) ) ) ) ) ) ) ) ) ).
fof(dt_k2_matrix_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  & v7_ordinal1(B))  =>  (v1_matrix_0(k2_matrix_1(A, B)) &  (v2_matrix_0(k2_matrix_1(A, B), u1_struct_0(A), B, B) & m2_finseq_1(k2_matrix_1(A, B), k3_finseq_2(u1_struct_0(A)))) ) ) ) ).
fof(dt_k3_matrix_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  & v7_ordinal1(B))  =>  (v1_matrix_0(k3_matrix_1(A, B)) &  (v2_matrix_0(k3_matrix_1(A, B), u1_struct_0(A), B, B) & m2_finseq_1(k3_matrix_1(A, B), k3_finseq_2(u1_struct_0(A)))) ) ) ) ).
fof(dt_k4_matrix_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  (v7_ordinal1(B) &  (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(A), B, B) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(A)))) ) ) )  =>  (v1_matrix_0(k4_matrix_1(A, B, C)) &  (v2_matrix_0(k4_matrix_1(A, B, C), u1_struct_0(A), B, B) & m2_finseq_1(k4_matrix_1(A, B, C), k3_finseq_2(u1_struct_0(A)))) ) ) ) ).
fof(dt_k5_matrix_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  (v7_ordinal1(B) &  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(A), B, B) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(A)))) )  &  (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(A), B, B) & m1_finseq_1(D, k3_finseq_2(u1_struct_0(A)))) ) ) ) )  =>  (v1_matrix_0(k5_matrix_1(A, B, C, D)) &  (v2_matrix_0(k5_matrix_1(A, B, C, D), u1_struct_0(A), B, B) & m2_finseq_1(k5_matrix_1(A, B, C, D), k3_finseq_2(u1_struct_0(A)))) ) ) ) ).
fof(dt_k6_matrix_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) )  & v7_ordinal1(B))  =>  ( ~ (v2_struct_0(k6_matrix_1(A, B)))  &  (v8_algstr_0(k6_matrix_1(A, B)) &  (v13_algstr_0(k6_matrix_1(A, B)) &  (v2_rlvect_1(k6_matrix_1(A, B)) &  (v3_rlvect_1(k6_matrix_1(A, B)) &  (v4_rlvect_1(k6_matrix_1(A, B)) & l2_algstr_0(k6_matrix_1(A, B))) ) ) ) ) ) ) ) ).
fof(dt_k7_matrix_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_matrix_1(A))  => v7_ordinal1(k7_matrix_1(A))) ) ).
fof(dt_k8_matrix_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_matrix_1(A))  => m1_subset_1(k8_matrix_1(A), k4_ordinal1)) ) ).
fof(redefinition_k8_matrix_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_matrix_1(A))  => k8_matrix_1(A)=k7_matrix_1(A)) ) ).
fof(dt_m1_matrix_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_matrix_1(A))  =>  (! [B] :  (m1_matrix_1(B, A) =>  (v1_funct_1(B) &  (v1_funct_2(B, k2_finseq_1(k8_matrix_1(A)), k2_finseq_1(k8_matrix_1(A))) &  (v3_funct_2(B, k2_finseq_1(k8_matrix_1(A)), k2_finseq_1(k8_matrix_1(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k8_matrix_1(A)), k2_finseq_1(k8_matrix_1(A)))))) ) ) ) ) ) ) ).
fof(existence_m1_matrix_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_matrix_1(A))  =>  (? [B] : m1_matrix_1(B, A)) ) ) ).
fof(redefinition_m1_matrix_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_matrix_1(A))  =>  (! [B] :  (m1_matrix_1(B, A) <=> m1_subset_1(B, A)) ) ) ) ).
fof(dt_k10_matrix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v15_algstr_0(k10_matrix_1(A)) & l3_algstr_0(k10_matrix_1(A))) ) ) ).
fof(dt_k11_matrix_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  (v7_ordinal1(B) &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, k9_matrix_1(B))) ) )  => m1_subset_1(k11_matrix_1(A, B, C, D), u1_struct_0(A))) ) ).
fof(d1_matrix_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k1_matrix_3(A, B, C)=k5_finseq_2(k4_finseq_2(C, u1_struct_0(A)), B, k5_finseq_2(u1_struct_0(A), C, k4_struct_0(A)))) ) ) ) ) ) ).
fof(d2_matrix_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (C=k2_matrix_3(A, B) <=>  (k3_finseq_1(C)=k3_finseq_1(B) &  (k1_matrix_0(C)=k1_matrix_0(B) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_hidden(k4_tarski(D, E), k2_matrix_0(B)) => k3_matrix_0(u1_struct_0(A), C, D, E)=k4_algstr_0(A, k3_matrix_0(u1_struct_0(A), B, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_matrix_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  (D=k3_matrix_3(A, B, C) <=>  (k3_finseq_1(D)=k3_finseq_1(B) &  (k1_matrix_0(D)=k1_matrix_0(B) &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (r2_hidden(k4_tarski(E, F), k2_matrix_0(B)) => k3_matrix_0(u1_struct_0(A), D, E, F)=k3_rlvect_1(A, k3_matrix_0(u1_struct_0(A), B, E, F), k3_matrix_0(u1_struct_0(A), C, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_matrix_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_hidden(k4_tarski(D, E), k2_matrix_0(k1_matrix_3(C, A, B))) => k3_matrix_0(u1_struct_0(C), k1_matrix_3(C, A, B), D, E)=k4_struct_0(C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_matrix_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) & k1_matrix_0(B)=k1_matrix_0(C))  => k3_matrix_3(A, B, C)=k3_matrix_3(A, C, B)) ) ) ) ) ) ) ).
fof(t3_matrix_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) & k1_matrix_0(B)=k1_matrix_0(C))  => k3_matrix_3(A, k3_matrix_3(A, B, C), D)=k3_matrix_3(A, B, k3_matrix_3(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t4_matrix_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), A, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  => k3_matrix_3(C, D, k1_matrix_3(C, A, B))=D) ) ) ) ) ) ) ) ).
fof(t5_matrix_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), A, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  => k3_matrix_3(C, D, k2_matrix_3(C, D))=k1_matrix_3(C, A, B)) ) ) ) ) ) ) ) ).
fof(d4_matrix_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (k1_matrix_0(B)=k3_finseq_1(C) =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  (D=k4_matrix_3(A, B, C) <=>  (k3_finseq_1(D)=k3_finseq_1(B) &  (k1_matrix_0(D)=k1_matrix_0(C) &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (r2_hidden(k4_tarski(E, F), k2_matrix_0(D)) => k3_matrix_0(u1_struct_0(A), D, E, F)=k13_fvsum_1(A, k7_matrix_0(u1_struct_0(A), B, E), k8_matrix_0(u1_struct_0(A), C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_matrix_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  (D=k6_matrix_3(A, B, C) <=>  (k3_finseq_1(D)=k3_finseq_1(B) &  (k1_matrix_0(D)=k1_matrix_0(B) &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (r2_hidden(k4_tarski(E, F), k2_matrix_0(B)) => k3_matrix_0(u1_struct_0(A), D, E, F)=k6_algstr_0(A, C, k3_matrix_0(u1_struct_0(A), B, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_matrix_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k7_matrix_3(A, B, C)=k6_matrix_3(A, B, C)) ) ) ) ) ) ).
fof(t6_matrix_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (k3_finseq_1(B)=k3_finseq_1(C) =>  (k3_finseq_1(k11_fvsum_1(A, B, C))=k3_finseq_1(B) & k3_finseq_1(k11_fvsum_1(A, B, C))=k3_finseq_1(C)) ) ) ) ) ) ) ) ).
fof(t7_matrix_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_hidden(k4_tarski(C, D), k2_matrix_0(k3_matrix_1(B, A))) & D=C)  => k1_funct_1(k7_matrix_0(u1_struct_0(B), k3_matrix_1(B, A), C), D)=k5_struct_0(B)) ) ) ) ) ) ) ) ) ).
fof(t8_matrix_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_hidden(k4_tarski(C, D), k2_matrix_0(k3_matrix_1(B, A))) =>  (D=C | k1_funct_1(k7_matrix_0(u1_struct_0(B), k3_matrix_1(B, A), C), D)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ).
fof(t9_matrix_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_hidden(k4_tarski(C, D), k2_matrix_0(k3_matrix_1(B, A))) & C=D)  => k1_funct_1(k8_matrix_0(u1_struct_0(B), k3_matrix_1(B, A), D), C)=k5_struct_0(B)) ) ) ) ) ) ) ) ) ).
fof(t10_matrix_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_hidden(k4_tarski(C, D), k2_matrix_0(k3_matrix_1(B, A))) =>  (C=D | k1_funct_1(k8_matrix_0(u1_struct_0(B), k3_matrix_1(B, A), D), C)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ).
fof(t11_matrix_3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  => k4_rlvect_1(B, k5_finseq_2(u1_struct_0(B), A, k4_struct_0(B)))=k4_struct_0(B)) ) ) ) ).
fof(t12_matrix_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r2_tarski(C, k4_finseq_1(B)) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(B)) =>  (D=C | k1_funct_1(B, D)=k4_struct_0(A)) ) ) ) )  => k4_rlvect_1(A, B)=k1_funct_1(B, C)) ) ) ) ) ) ) ).
fof(t13_matrix_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) => k3_finseq_1(k11_fvsum_1(A, B, C))=k4_nat_1(k3_finseq_1(B), k3_finseq_1(C))) ) ) ) ) ) ).
fof(t14_matrix_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) =>  ( (k1_funct_1(B, D)=k5_struct_0(A) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(B)) =>  (E=D | k1_funct_1(B, E)=k4_struct_0(A)) ) ) ) )  =>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(k11_fvsum_1(A, B, C))) =>  ( (D=E => k1_funct_1(k11_fvsum_1(A, B, C), E)=k1_funct_1(C, D))  &  ( ~ (D=E)  => k1_funct_1(k11_fvsum_1(A, B, C), E)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_matrix_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_hidden(k4_tarski(C, D), k2_matrix_0(k3_matrix_1(B, A))) =>  ( (C=D => k1_funct_1(k7_matrix_0(u1_struct_0(B), k3_matrix_1(B, A), C), D)=k5_struct_0(B))  &  ( ~ (C=D)  => k1_funct_1(k7_matrix_0(u1_struct_0(B), k3_matrix_1(B, A), C), D)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_matrix_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_hidden(k4_tarski(C, D), k2_matrix_0(k3_matrix_1(B, A))) =>  ( (C=D => k1_funct_1(k8_matrix_0(u1_struct_0(B), k3_matrix_1(B, A), D), C)=k5_struct_0(B))  &  ( ~ (C=D)  => k1_funct_1(k8_matrix_0(u1_struct_0(B), k3_matrix_1(B, A), D), C)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_matrix_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(D, k4_finseq_1(B)) &  (r2_tarski(D, k4_finseq_1(C)) &  (k1_funct_1(B, D)=k5_struct_0(A) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(B)) =>  (E=D | k1_funct_1(B, E)=k4_struct_0(A)) ) ) ) ) ) )  => k4_rlvect_1(A, k11_fvsum_1(A, B, C))=k1_funct_1(C, D)) ) ) ) ) ) ) ) ) ).
fof(t18_matrix_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  => k4_matrix_3(B, k3_matrix_1(B, A), C)=C) ) ) ) ) ) ).
fof(t19_matrix_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  => k4_matrix_3(B, C, k3_matrix_1(B, A))=C) ) ) ) ) ) ).
fof(t20_matrix_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_matrix_3(A, k14_matrix_0(u1_struct_0(A), 1, k13_matrix_0(u1_struct_0(A), B)), k14_matrix_0(u1_struct_0(A), 1, k13_matrix_0(u1_struct_0(A), C)))=k14_matrix_0(u1_struct_0(A), 1, k13_matrix_0(u1_struct_0(A), k8_group_1(A, B, C)))) ) ) ) ) ) ).
fof(t21_matrix_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) => k4_matrix_3(A, k15_matrix_0(u1_struct_0(A), B, D, F, H), k15_matrix_0(u1_struct_0(A), C, E, G, I))=k15_matrix_0(u1_struct_0(A), k3_rlvect_1(A, k8_group_1(A, B, C), k8_group_1(A, D, G)), k3_rlvect_1(A, k8_group_1(A, B, E), k8_group_1(A, D, I)), k3_rlvect_1(A, k8_group_1(A, F, C), k8_group_1(A, H, G)), k3_rlvect_1(A, k8_group_1(A, F, E), k8_group_1(A, H, I)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_matrix_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (k1_matrix_0(B)=k3_finseq_1(C) =>  (k1_matrix_0(C)=k5_numbers | k4_matrix_0(u1_struct_0(A), k4_matrix_3(A, B, C))=k4_matrix_3(A, k4_matrix_0(u1_struct_0(A), C), k4_matrix_0(u1_struct_0(A), B))) ) ) ) ) ) ) ) ).
fof(t23_matrix_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(C, C), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, C), C)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(C, C), C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, C), C)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, B, C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  (! [H] :  (m1_subset_1(H, k5_finsub_1(A)) =>  (! [I] :  (m1_subset_1(I, k5_finsub_1(B)) =>  ( (v1_binop_1(D, C) &  (v2_binop_1(D, C) & v1_binop_1(E, C)) )  =>  ( (k8_matrix_3(B, A, I, H)=k1_xboole_0 &  ~ (v1_setwiseo(D, C)) )  | k7_setwiseo(k2_zfmisc_1(A, B), C, D, k8_matrix_3(A, B, H, I), k9_matrix_3(A, B, C, E, F, G))=k7_setwiseo(k2_zfmisc_1(B, A), C, D, k8_matrix_3(B, A, I, H), k9_matrix_3(B, A, C, E, G, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_matrix_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, A), A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, B, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, C, A) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(C, A)))) )  =>  ( (v1_binop_1(D, A) & v2_binop_1(D, A))  =>  (! [H] :  (m1_subset_1(H, B) =>  (! [I] :  (m1_subset_1(I, C) => k7_setwiseo(k2_zfmisc_1(B, C), A, D, k8_matrix_3(B, C, k2_setwiseo(B, H), k2_setwiseo(C, I)), k9_matrix_3(B, C, A, E, F, G))=k7_setwiseo(B, A, D, k2_setwiseo(B, H), k9_funcop_1(A, B, E, F, k7_setwiseo(C, A, D, k2_setwiseo(C, I), G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_matrix_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, A), A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, B, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, C, A) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(C, A)))) )  =>  (! [H] :  (m1_subset_1(H, k5_finsub_1(B)) =>  (! [I] :  (m1_subset_1(I, k5_finsub_1(C)) =>  ( (v1_binop_1(D, A) &  (v2_binop_1(D, A) &  (v1_setwiseo(D, A) &  (v1_finseqop(D, A) & r6_binop_1(A, E, D)) ) ) )  =>  (! [J] :  (m1_subset_1(J, B) => k7_setwiseo(k2_zfmisc_1(B, C), A, D, k8_matrix_3(B, C, k2_setwiseo(B, J), I), k9_matrix_3(B, C, A, E, F, G))=k7_setwiseo(B, A, D, k2_setwiseo(B, J), k9_funcop_1(A, B, E, F, k7_setwiseo(C, A, D, I, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_matrix_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, A), A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, B, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, C, A) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(C, A)))) )  =>  (! [H] :  (m1_subset_1(H, k5_finsub_1(B)) =>  (! [I] :  (m1_subset_1(I, k5_finsub_1(C)) =>  ( (v1_setwiseo(D, A) &  (v1_binop_1(D, A) &  (v2_binop_1(D, A) &  (v1_finseqop(D, A) & r6_binop_1(A, E, D)) ) ) )  => k7_setwiseo(k2_zfmisc_1(B, C), A, D, k8_matrix_3(B, C, H, I), k9_matrix_3(B, C, A, E, F, G))=k7_setwiseo(B, A, D, H, k9_funcop_1(A, B, E, F, k7_setwiseo(C, A, D, I, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_matrix_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, A), A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, B, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, C, A) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(C, A)))) )  =>  ( (v1_binop_1(D, A) &  (v2_binop_1(D, A) & v1_binop_1(E, A)) )  =>  (! [H] :  (m1_subset_1(H, B) =>  (! [I] :  (m1_subset_1(I, C) => k7_setwiseo(k2_zfmisc_1(B, C), A, D, k8_matrix_3(B, C, k2_setwiseo(B, H), k2_setwiseo(C, I)), k9_matrix_3(B, C, A, E, F, G))=k7_setwiseo(C, A, D, k2_setwiseo(C, I), k10_funcop_1(A, C, E, k7_setwiseo(B, A, D, k2_setwiseo(B, H), F), G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_matrix_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, A), A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, B, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, C, A) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(C, A)))) )  =>  (! [H] :  (m1_subset_1(H, k5_finsub_1(B)) =>  (! [I] :  (m1_subset_1(I, k5_finsub_1(C)) =>  ( (v1_setwiseo(D, A) &  (v1_binop_1(D, A) &  (v2_binop_1(D, A) &  (v1_finseqop(D, A) &  (r6_binop_1(A, E, D) & v1_binop_1(E, A)) ) ) ) )  => k7_setwiseo(k2_zfmisc_1(B, C), A, D, k8_matrix_3(B, C, H, I), k9_matrix_3(B, C, A, E, F, G))=k7_setwiseo(C, A, D, I, k10_funcop_1(A, C, E, k7_setwiseo(B, A, D, H, F), G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_matrix_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, C), A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), A)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, B, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [G] :  (m1_subset_1(G, k5_finsub_1(C)) =>  ( (v1_setwiseo(D, A) &  (v1_binop_1(D, A) & v2_binop_1(D, A)) )  =>  (! [H] :  (m1_subset_1(H, B) =>  ( (! [I] :  (m1_subset_1(I, B) => k3_funct_2(B, A, F, I)=k7_setwiseo(C, A, D, G, k10_funct_5(B, C, A, k9_funct_2(C, A), k11_funct_5(B, C, A, E), I))) )  => k7_setwiseo(k2_zfmisc_1(B, C), A, D, k8_matrix_3(B, C, k2_setwiseo(B, H), G), E)=k7_setwiseo(B, A, D, k2_setwiseo(B, H), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_matrix_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, C), A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), A)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, B, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [G] :  (m1_subset_1(G, k5_finsub_1(B)) =>  (! [H] :  (m1_subset_1(H, k5_finsub_1(C)) =>  ( ( (! [I] :  (m1_subset_1(I, B) => k3_funct_2(B, A, F, I)=k7_setwiseo(C, A, D, H, k10_funct_5(B, C, A, k9_funct_2(C, A), k11_funct_5(B, C, A, E), I))) )  &  (v1_setwiseo(D, A) &  (v1_binop_1(D, A) & v2_binop_1(D, A)) ) )  => k7_setwiseo(k2_zfmisc_1(B, C), A, D, k8_matrix_3(B, C, G, H), E)=k7_setwiseo(B, A, D, G, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_matrix_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, C), A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), A)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, C, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, A)))) )  =>  (! [G] :  (m1_subset_1(G, k5_finsub_1(B)) =>  ( (v1_setwiseo(D, A) &  (v1_binop_1(D, A) & v2_binop_1(D, A)) )  =>  (! [H] :  (m1_subset_1(H, C) =>  ( (! [I] :  (m1_subset_1(I, C) => k3_funct_2(C, A, F, I)=k7_setwiseo(B, A, D, G, k10_funct_5(C, B, A, k9_funct_2(B, A), k12_funct_5(B, C, A, E), I))) )  => k7_setwiseo(k2_zfmisc_1(B, C), A, D, k8_matrix_3(B, C, G, k2_setwiseo(C, H)), E)=k7_setwiseo(C, A, D, k2_setwiseo(C, H), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_matrix_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, C), A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), A)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, C, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, A)))) )  =>  (! [G] :  (m1_subset_1(G, k5_finsub_1(B)) =>  (! [H] :  (m1_subset_1(H, k5_finsub_1(C)) =>  ( ( (! [I] :  (m1_subset_1(I, C) => k3_funct_2(C, A, F, I)=k7_setwiseo(B, A, D, G, k10_funct_5(C, B, A, k9_funct_2(B, A), k12_funct_5(B, C, A, E), I))) )  &  (v1_setwiseo(D, A) &  (v1_binop_1(D, A) & v2_binop_1(D, A)) ) )  => k7_setwiseo(k2_zfmisc_1(B, C), A, D, k8_matrix_3(B, C, G, H), E)=k7_setwiseo(C, A, D, H, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_matrix_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  ( (k1_matrix_0(B)=k3_finseq_1(C) & k1_matrix_0(C)=k3_finseq_1(D))  => k4_matrix_3(A, k4_matrix_3(A, B, C), D)=k4_matrix_3(A, B, k4_matrix_3(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(d7_matrix_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  (m1_matrix_1(D, k9_matrix_1(A)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(B)) =>  (E=k10_matrix_3(A, B, C, D) <=>  (k3_finseq_1(E)=A &  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ( (r2_tarski(F, k4_finseq_1(E)) & G=k1_funct_1(D, F))  => k1_funct_1(E, F)=k3_matrix_0(u1_struct_0(B), C, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_matrix_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k9_matrix_1(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k9_matrix_1(A), u1_struct_0(B))))) )  =>  (D=k11_matrix_3(A, B, C) <=>  (! [E] :  (m1_matrix_1(E, k9_matrix_1(A)) => k3_funct_2(k9_matrix_1(A), u1_struct_0(B), D, E)=k11_matrix_1(B, A, k1_finsop_1(u1_struct_0(B), k10_matrix_3(A, B, C, E), u2_algstr_0(B)), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_matrix_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  => k12_matrix_3(A, B, C)=k7_setwiseo(k9_matrix_1(A), u1_struct_0(B), u1_algstr_0(B), k10_subset_1(k9_matrix_1(A), k5_finsub_1(k9_matrix_1(A))), k11_matrix_3(A, B, C))) ) ) ) ) ) ).
fof(t34_matrix_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k12_matrix_3(1, A, k14_matrix_0(u1_struct_0(A), 1, k13_matrix_0(u1_struct_0(A), B)))=B) ) ) ) ).
fof(d10_matrix_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(B)) =>  (D=k13_matrix_3(A, B, C) <=>  (k3_finseq_1(D)=A &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k2_finseq_1(A)) => k1_funct_1(D, E)=k3_matrix_0(u1_struct_0(B), C, E, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_matrix_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  (v7_ordinal1(B) & v7_ordinal1(C)) )  =>  (v1_matrix_0(k1_matrix_3(A, B, C)) &  (v2_matrix_0(k1_matrix_3(A, B, C), u1_struct_0(A), B, C) & m2_finseq_1(k1_matrix_3(A, B, C), k3_finseq_2(u1_struct_0(A)))) ) ) ) ).
fof(dt_k2_matrix_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(u1_struct_0(A)))) )  =>  (v1_matrix_0(k2_matrix_3(A, B)) & m2_finseq_1(k2_matrix_3(A, B), k3_finseq_2(u1_struct_0(A)))) ) ) ).
fof(dt_k3_matrix_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  &  (v1_matrix_0(C) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(A)))) ) )  =>  (v1_matrix_0(k3_matrix_3(A, B, C)) & m2_finseq_1(k3_matrix_3(A, B, C), k3_finseq_2(u1_struct_0(A)))) ) ) ).
fof(dt_k4_matrix_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  &  (v1_matrix_0(C) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(A)))) ) )  =>  (v1_matrix_0(k4_matrix_3(A, B, C)) & m2_finseq_1(k4_matrix_3(A, B, C), k3_finseq_2(u1_struct_0(A)))) ) ) ).
fof(dt_k5_matrix_3, axiom,  (! [A, B, C, D, E, F] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v3_group_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) )  &  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(D), A, B) & m1_finseq_1(E, k3_finseq_2(u1_struct_0(D)))) )  &  (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(D), k1_matrix_0(E), C) & m1_finseq_1(F, k3_finseq_2(u1_struct_0(D)))) ) ) ) ) ) )  =>  (v1_matrix_0(k5_matrix_3(A, B, C, D, E, F)) &  (v2_matrix_0(k5_matrix_3(A, B, C, D, E, F), u1_struct_0(D), k3_finseq_1(E), k1_matrix_0(F)) & m2_finseq_1(k5_matrix_3(A, B, C, D, E, F), k3_finseq_2(u1_struct_0(D)))) ) ) ) ).
fof(redefinition_k5_matrix_3, axiom,  (! [A, B, C, D, E, F] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v3_group_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) )  &  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(D), A, B) & m1_finseq_1(E, k3_finseq_2(u1_struct_0(D)))) )  &  (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(D), k1_matrix_0(E), C) & m1_finseq_1(F, k3_finseq_2(u1_struct_0(D)))) ) ) ) ) ) )  => k5_matrix_3(A, B, C, D, E, F)=k4_matrix_3(D, E, F)) ) ).
fof(dt_k6_matrix_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  & m1_subset_1(C, u1_struct_0(A))) )  =>  (v1_matrix_0(k6_matrix_3(A, B, C)) & m2_finseq_1(k6_matrix_3(A, B, C), k3_finseq_2(u1_struct_0(A)))) ) ) ).
fof(dt_k7_matrix_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  & m1_subset_1(C, u1_struct_0(A))) )  =>  (v1_matrix_0(k7_matrix_3(A, B, C)) & m2_finseq_1(k7_matrix_3(A, B, C), k3_finseq_2(u1_struct_0(A)))) ) ) ).
fof(dt_k8_matrix_3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k5_finsub_1(A)) & m1_subset_1(D, k5_finsub_1(B))) ) )  => m1_subset_1(k8_matrix_3(A, B, C, D), k5_finsub_1(k2_zfmisc_1(A, B)))) ) ).
fof(redefinition_k8_matrix_3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k5_finsub_1(A)) & m1_subset_1(D, k5_finsub_1(B))) ) )  => k8_matrix_3(A, B, C, D)=k2_zfmisc_1(C, D)) ) ).
fof(dt_k9_matrix_3, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(C, C), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, C), C)))) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  &  (v1_funct_1(F) &  (v1_funct_2(F, B, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, C)))) ) ) ) ) ) )  =>  (v1_funct_1(k9_matrix_3(A, B, C, D, E, F)) &  (v1_funct_2(k9_matrix_3(A, B, C, D, E, F), k2_zfmisc_1(A, B), C) & m1_subset_1(k9_matrix_3(A, B, C, D, E, F), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) ) ) ) ).
fof(redefinition_k9_matrix_3, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(C, C), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, C), C)))) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  &  (v1_funct_1(F) &  (v1_funct_2(F, B, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, C)))) ) ) ) ) ) )  => k9_matrix_3(A, B, C, D, E, F)=k6_finseqop(D, E, F)) ) ).
fof(dt_k10_matrix_3, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  &  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  & m1_subset_1(D, k9_matrix_1(A))) ) )  => m2_finseq_1(k10_matrix_3(A, B, C, D), u1_struct_0(B))) ) ).
fof(dt_k11_matrix_3, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  &  (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) ) ) )  =>  (v1_funct_1(k11_matrix_3(A, B, C)) &  (v1_funct_2(k11_matrix_3(A, B, C), k9_matrix_1(A), u1_struct_0(B)) & m1_subset_1(k11_matrix_3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k9_matrix_1(A), u1_struct_0(B))))) ) ) ) ).
fof(dt_k12_matrix_3, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  &  (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) ) ) )  => m1_subset_1(k12_matrix_3(A, B, C), u1_struct_0(B))) ) ).
fof(dt_k13_matrix_3, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  &  (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) ) ) )  => m2_finseq_1(k13_matrix_3(A, B, C), u1_struct_0(B))) ) ).
fof(d1_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  => k1_matrix_4(A, B, C)=k3_matrix_3(A, B, k2_matrix_3(A, C))) ) ) ) ) ) ).
fof(t1_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  => k2_matrix_3(A, k2_matrix_3(A, B))=B) ) ) ) ).
fof(t2_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  => k3_matrix_3(A, B, k2_matrix_3(A, B))=k1_matrix_3(A, k3_finseq_1(B), k1_matrix_0(B))) ) ) ) ).
fof(t3_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  => k1_matrix_4(A, B, B)=k1_matrix_3(A, k3_finseq_1(B), k1_matrix_0(B))) ) ) ) ).
fof(t4_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (k3_finseq_1(C)=k3_finseq_1(D) &  (k1_matrix_0(B)=k1_matrix_0(C) &  (k1_matrix_0(C)=k1_matrix_0(D) & k3_matrix_3(A, B, D)=k3_matrix_3(A, C, D)) ) ) )  => B=C) ) ) ) ) ) ) ) ) ).
fof(t5_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  => k1_matrix_4(A, B, k2_matrix_3(A, C))=k3_matrix_3(A, B, C)) ) ) ) ) ) ).
fof(t6_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (k1_matrix_0(B)=k1_matrix_0(C) & B=k3_matrix_3(A, B, C)) )  => C=k1_matrix_3(A, k3_finseq_1(B), k1_matrix_0(B))) ) ) ) ) ) ) ).
fof(t7_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (k1_matrix_0(B)=k1_matrix_0(C) & k1_matrix_4(A, B, C)=k1_matrix_3(A, k3_finseq_1(B), k1_matrix_0(B))) )  => B=C) ) ) ) ) ) ) ).
fof(t8_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (k1_matrix_0(B)=k1_matrix_0(C) & k3_matrix_3(A, B, C)=k1_matrix_3(A, k3_finseq_1(B), k1_matrix_0(B))) )  => C=k2_matrix_3(A, B)) ) ) ) ) ) ) ).
fof(t9_matrix_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  => k2_matrix_3(C, k1_matrix_3(C, A, B))=k1_matrix_3(C, A, B)) ) ) ) ) ) ).
fof(t10_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (k1_matrix_0(B)=k1_matrix_0(C) & k1_matrix_4(A, C, B)=C) )  => B=k1_matrix_3(A, k3_finseq_1(B), k1_matrix_0(B))) ) ) ) ) ) ) ).
fof(t11_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) & k1_matrix_0(B)=k1_matrix_0(C))  => B=k1_matrix_4(A, B, k1_matrix_4(A, C, C))) ) ) ) ) ) ) ).
fof(t12_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) & k1_matrix_0(B)=k1_matrix_0(C))  => k2_matrix_3(A, k3_matrix_3(A, B, C))=k3_matrix_3(A, k2_matrix_3(A, B), k2_matrix_3(A, C))) ) ) ) ) ) ) ).
fof(t13_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) & k1_matrix_0(B)=k1_matrix_0(C))  => k1_matrix_4(A, B, k1_matrix_4(A, B, C))=C) ) ) ) ) ) ) ).
fof(t14_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (k3_finseq_1(C)=k3_finseq_1(D) &  (k1_matrix_0(B)=k1_matrix_0(C) &  (k1_matrix_0(C)=k1_matrix_0(D) & k1_matrix_4(A, B, D)=k1_matrix_4(A, C, D)) ) ) )  => B=C) ) ) ) ) ) ) ) ) ).
fof(t15_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (k3_finseq_1(C)=k3_finseq_1(D) &  (k1_matrix_0(B)=k1_matrix_0(C) &  (k1_matrix_0(C)=k1_matrix_0(D) & k1_matrix_4(A, D, B)=k1_matrix_4(A, D, C)) ) ) )  => B=C) ) ) ) ) ) ) ) ) ).
fof(t16_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (k3_finseq_1(C)=k3_finseq_1(D) &  (k1_matrix_0(B)=k1_matrix_0(C) & k1_matrix_0(C)=k1_matrix_0(D)) ) )  => k1_matrix_4(A, k1_matrix_4(A, B, C), D)=k1_matrix_4(A, k1_matrix_4(A, B, D), C)) ) ) ) ) ) ) ) ) ).
fof(t17_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (k3_finseq_1(C)=k3_finseq_1(D) &  (k1_matrix_0(B)=k1_matrix_0(C) & k1_matrix_0(C)=k1_matrix_0(D)) ) )  => k1_matrix_4(A, B, D)=k1_matrix_4(A, k1_matrix_4(A, B, C), k1_matrix_4(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t18_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (k3_finseq_1(C)=k3_finseq_1(D) &  (k1_matrix_0(B)=k1_matrix_0(C) & k1_matrix_0(C)=k1_matrix_0(D)) ) )  => k1_matrix_4(A, k1_matrix_4(A, D, B), k1_matrix_4(A, D, C))=k1_matrix_4(A, C, B)) ) ) ) ) ) ) ) ) ).
fof(t19_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  (! [E] :  ( (v1_matrix_0(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (k3_finseq_1(C)=k3_finseq_1(D) &  (k3_finseq_1(D)=k3_finseq_1(E) &  (k1_matrix_0(B)=k1_matrix_0(C) &  (k1_matrix_0(C)=k1_matrix_0(D) &  (k1_matrix_0(D)=k1_matrix_0(E) & k1_matrix_4(A, B, C)=k1_matrix_4(A, D, E)) ) ) ) ) )  => k1_matrix_4(A, B, D)=k1_matrix_4(A, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) & k1_matrix_0(B)=k1_matrix_0(C))  => B=k3_matrix_3(A, B, k1_matrix_4(A, C, C))) ) ) ) ) ) ) ).
fof(t21_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) & k1_matrix_0(B)=k1_matrix_0(C))  => B=k1_matrix_4(A, k3_matrix_3(A, B, C), C)) ) ) ) ) ) ) ).
fof(t22_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) & k1_matrix_0(B)=k1_matrix_0(C))  => B=k3_matrix_3(A, k1_matrix_4(A, B, C), C)) ) ) ) ) ) ) ).
fof(t23_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (k3_finseq_1(C)=k3_finseq_1(D) &  (k1_matrix_0(B)=k1_matrix_0(C) & k1_matrix_0(C)=k1_matrix_0(D)) ) )  => k3_matrix_3(A, B, D)=k3_matrix_3(A, k3_matrix_3(A, B, C), k1_matrix_4(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t24_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (k3_finseq_1(C)=k3_finseq_1(D) &  (k1_matrix_0(B)=k1_matrix_0(C) & k1_matrix_0(C)=k1_matrix_0(D)) ) )  => k1_matrix_4(A, k3_matrix_3(A, B, C), D)=k3_matrix_3(A, k1_matrix_4(A, B, D), C)) ) ) ) ) ) ) ) ) ).
fof(t25_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (k3_finseq_1(C)=k3_finseq_1(D) &  (k1_matrix_0(B)=k1_matrix_0(C) & k1_matrix_0(C)=k1_matrix_0(D)) ) )  => k3_matrix_3(A, k1_matrix_4(A, B, C), D)=k3_matrix_3(A, k1_matrix_4(A, D, C), B)) ) ) ) ) ) ) ) ) ).
fof(t26_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (k3_finseq_1(C)=k3_finseq_1(D) &  (k1_matrix_0(B)=k1_matrix_0(C) & k1_matrix_0(C)=k1_matrix_0(D)) ) )  => k3_matrix_3(A, B, D)=k1_matrix_4(A, k3_matrix_3(A, B, C), k1_matrix_4(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t27_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (k3_finseq_1(C)=k3_finseq_1(D) &  (k1_matrix_0(B)=k1_matrix_0(C) & k1_matrix_0(C)=k1_matrix_0(D)) ) )  => k1_matrix_4(A, B, D)=k1_matrix_4(A, k3_matrix_3(A, B, C), k3_matrix_3(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t28_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  (! [E] :  ( (v1_matrix_0(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (k3_finseq_1(C)=k3_finseq_1(D) &  (k3_finseq_1(D)=k3_finseq_1(E) &  (k1_matrix_0(B)=k1_matrix_0(C) &  (k1_matrix_0(C)=k1_matrix_0(D) &  (k1_matrix_0(D)=k1_matrix_0(E) & k3_matrix_3(A, B, C)=k3_matrix_3(A, D, E)) ) ) ) ) )  => k1_matrix_4(A, B, D)=k1_matrix_4(A, E, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  (! [E] :  ( (v1_matrix_0(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (k3_finseq_1(C)=k3_finseq_1(D) &  (k3_finseq_1(D)=k3_finseq_1(E) &  (k1_matrix_0(B)=k1_matrix_0(C) &  (k1_matrix_0(C)=k1_matrix_0(D) &  (k1_matrix_0(D)=k1_matrix_0(E) & k1_matrix_4(A, B, D)=k1_matrix_4(A, E, C)) ) ) ) ) )  => k3_matrix_3(A, B, C)=k3_matrix_3(A, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  (! [E] :  ( (v1_matrix_0(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (k3_finseq_1(C)=k3_finseq_1(D) &  (k3_finseq_1(D)=k3_finseq_1(E) &  (k1_matrix_0(B)=k1_matrix_0(C) &  (k1_matrix_0(C)=k1_matrix_0(D) &  (k1_matrix_0(D)=k1_matrix_0(E) & k3_matrix_3(A, B, C)=k1_matrix_4(A, D, E)) ) ) ) ) )  => k3_matrix_3(A, B, E)=k1_matrix_4(A, D, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (k3_finseq_1(C)=k3_finseq_1(D) &  (k1_matrix_0(B)=k1_matrix_0(C) & k1_matrix_0(C)=k1_matrix_0(D)) ) )  => k1_matrix_4(A, B, k3_matrix_3(A, C, D))=k1_matrix_4(A, k1_matrix_4(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t32_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (k3_finseq_1(C)=k3_finseq_1(D) &  (k1_matrix_0(B)=k1_matrix_0(C) & k1_matrix_0(C)=k1_matrix_0(D)) ) )  => k1_matrix_4(A, B, k1_matrix_4(A, C, D))=k3_matrix_3(A, k1_matrix_4(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t33_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (k3_finseq_1(C)=k3_finseq_1(D) &  (k1_matrix_0(B)=k1_matrix_0(C) & k1_matrix_0(C)=k1_matrix_0(D)) ) )  => k1_matrix_4(A, B, k1_matrix_4(A, C, D))=k3_matrix_3(A, B, k1_matrix_4(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t34_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) & k1_matrix_0(B)=k1_matrix_0(C))  => k1_matrix_4(A, B, D)=k3_matrix_3(A, k1_matrix_4(A, B, C), k1_matrix_4(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t35_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  (k2_matrix_3(A, B)=k2_matrix_3(A, C) => B=C) ) ) ) ) ) ) ) ) ).
fof(t36_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (k2_matrix_3(A, B)=k1_matrix_3(A, k3_finseq_1(B), k1_matrix_0(B)) => B=k1_matrix_3(A, k3_finseq_1(B), k1_matrix_0(B))) ) ) ) ) ).
fof(t37_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (k1_matrix_0(B)=k1_matrix_0(C) & k3_matrix_3(A, B, k2_matrix_3(A, C))=k1_matrix_3(A, k3_finseq_1(B), k1_matrix_0(B))) )  => B=C) ) ) ) ) ) ) ).
fof(t38_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) & k1_matrix_0(B)=k1_matrix_0(C))  => B=k3_matrix_3(A, k3_matrix_3(A, B, C), k2_matrix_3(A, C))) ) ) ) ) ) ) ).
fof(t39_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) & k1_matrix_0(B)=k1_matrix_0(C))  => B=k3_matrix_3(A, B, k3_matrix_3(A, C, k2_matrix_3(A, C)))) ) ) ) ) ) ) ).
fof(t40_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) & k1_matrix_0(B)=k1_matrix_0(C))  => B=k3_matrix_3(A, k3_matrix_3(A, k2_matrix_3(A, C), B), C)) ) ) ) ) ) ) ).
fof(t41_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) & k1_matrix_0(B)=k1_matrix_0(C))  => k2_matrix_3(A, k3_matrix_3(A, k2_matrix_3(A, B), C))=k3_matrix_3(A, B, k2_matrix_3(A, C))) ) ) ) ) ) ) ).
fof(t42_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) & k1_matrix_0(B)=k1_matrix_0(C))  => k3_matrix_3(A, B, C)=k2_matrix_3(A, k3_matrix_3(A, k2_matrix_3(A, B), k2_matrix_3(A, C)))) ) ) ) ) ) ) ).
fof(t43_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) & k1_matrix_0(B)=k1_matrix_0(C))  => k2_matrix_3(A, k1_matrix_4(A, B, C))=k1_matrix_4(A, C, B)) ) ) ) ) ) ) ).
fof(t44_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) & k1_matrix_0(B)=k1_matrix_0(C))  => k1_matrix_4(A, k2_matrix_3(A, B), C)=k1_matrix_4(A, k2_matrix_3(A, C), B)) ) ) ) ) ) ) ).
fof(t45_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) & k1_matrix_0(B)=k1_matrix_0(C))  => B=k1_matrix_4(A, k2_matrix_3(A, C), k1_matrix_4(A, k2_matrix_3(A, B), C))) ) ) ) ) ) ) ).
fof(t46_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (k3_finseq_1(C)=k3_finseq_1(D) &  (k1_matrix_0(B)=k1_matrix_0(C) & k1_matrix_0(C)=k1_matrix_0(D)) ) )  => k1_matrix_4(A, k1_matrix_4(A, k2_matrix_3(A, B), C), D)=k1_matrix_4(A, k1_matrix_4(A, k2_matrix_3(A, B), D), C)) ) ) ) ) ) ) ) ) ).
fof(t47_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (k3_finseq_1(C)=k3_finseq_1(D) &  (k1_matrix_0(B)=k1_matrix_0(C) & k1_matrix_0(C)=k1_matrix_0(D)) ) )  => k1_matrix_4(A, k1_matrix_4(A, k2_matrix_3(A, B), C), D)=k1_matrix_4(A, k1_matrix_4(A, k2_matrix_3(A, C), D), B)) ) ) ) ) ) ) ) ) ).
fof(t48_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (k3_finseq_1(C)=k3_finseq_1(D) &  (k1_matrix_0(B)=k1_matrix_0(C) & k1_matrix_0(C)=k1_matrix_0(D)) ) )  => k1_matrix_4(A, k1_matrix_4(A, k2_matrix_3(A, B), C), D)=k1_matrix_4(A, k1_matrix_4(A, k2_matrix_3(A, D), C), B)) ) ) ) ) ) ) ) ) ).
fof(t49_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (k3_finseq_1(C)=k3_finseq_1(D) &  (k1_matrix_0(B)=k1_matrix_0(C) & k1_matrix_0(C)=k1_matrix_0(D)) ) )  => k1_matrix_4(A, k1_matrix_4(A, D, B), k1_matrix_4(A, D, C))=k2_matrix_3(A, k1_matrix_4(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t50_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  => k1_matrix_4(A, k1_matrix_3(A, k3_finseq_1(B), k1_matrix_0(B)), B)=k2_matrix_3(A, B)) ) ) ) ).
fof(t51_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) & k1_matrix_0(B)=k1_matrix_0(C))  => k3_matrix_3(A, B, C)=k1_matrix_4(A, B, k2_matrix_3(A, C))) ) ) ) ) ) ) ).
fof(t52_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) & k1_matrix_0(B)=k1_matrix_0(C))  => B=k1_matrix_4(A, B, k3_matrix_3(A, C, k2_matrix_3(A, C)))) ) ) ) ) ) ) ).
fof(t53_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (k3_finseq_1(C)=k3_finseq_1(D) &  (k1_matrix_0(B)=k1_matrix_0(C) &  (k1_matrix_0(C)=k1_matrix_0(D) & k1_matrix_4(A, B, D)=k3_matrix_3(A, C, k2_matrix_3(A, D))) ) ) )  => B=C) ) ) ) ) ) ) ) ) ).
fof(t54_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (k3_finseq_1(C)=k3_finseq_1(D) &  (k1_matrix_0(B)=k1_matrix_0(C) &  (k1_matrix_0(C)=k1_matrix_0(D) & k1_matrix_4(A, D, B)=k3_matrix_3(A, D, k2_matrix_3(A, C))) ) ) )  => B=C) ) ) ) ) ) ) ) ) ).
fof(t55_matrix_4, axiom,  (! [A] :  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(A)))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) & k1_matrix_0(B)=k1_matrix_0(C))  => k2_matrix_0(B)=k2_matrix_0(C)) ) ) ) ) ) ).
fof(t56_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  ( (k3_finseq_1(B)=k3_finseq_1(C) & k3_finseq_1(C)=k3_finseq_1(D))  => k11_fvsum_1(A, k3_fvsum_1(A, B, C), D)=k3_fvsum_1(A, k11_fvsum_1(A, B, D), k11_fvsum_1(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t57_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  ( (k3_finseq_1(B)=k3_finseq_1(C) & k3_finseq_1(C)=k3_finseq_1(D))  => k11_fvsum_1(A, D, k3_fvsum_1(A, B, C))=k3_fvsum_1(A, k11_fvsum_1(A, D, B), k11_fvsum_1(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t58_matrix_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  ( ~ (r1_xxreal_0(k3_finseq_1(B), k5_numbers))  =>  (! [C] :  (v7_ordinal1(C) =>  ( (v1_matrix_0(B) &  (v2_matrix_0(B, A, C, k1_matrix_0(B)) & m2_finseq_1(B, k3_finseq_2(A))) )  <=> C=k3_finseq_1(B)) ) ) ) ) ) ) ) ).
fof(t59_matrix_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B))))  =>  (! [E] :  ( (v1_matrix_0(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B))))  =>  (k1_matrix_0(D)=k1_matrix_0(E) =>  ( (! [F] :  (v7_ordinal1(F) =>  ~ (r2_hidden(k4_tarski(A, F), k2_matrix_0(D))) ) )  | k7_matrix_0(u1_struct_0(B), k3_matrix_3(B, D, E), A)=k3_fvsum_1(B, k7_matrix_0(u1_struct_0(B), D, A), k7_matrix_0(u1_struct_0(B), E, A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  (k3_finseq_1(C)=k3_finseq_1(D) =>  ( (! [E] :  (v7_ordinal1(E) =>  ~ (r2_hidden(k4_tarski(E, B), k2_matrix_0(C))) ) )  | k8_matrix_0(u1_struct_0(A), k3_matrix_3(A, C, D), B)=k3_fvsum_1(A, k8_matrix_0(u1_struct_0(A), C, B), k8_matrix_0(u1_struct_0(A), D, B))) ) ) ) ) ) ) ) ) ) ).
fof(t61_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (k3_finseq_1(B)=k3_finseq_1(C) => k4_rlvect_1(A, k3_fvsum_1(A, B, C))=k1_algstr_0(A, k4_rlvect_1(A, B), k4_rlvect_1(A, C))) ) ) ) ) ) ) ).
fof(t62_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(C)=k3_finseq_1(D) &  (k1_matrix_0(C)=k1_matrix_0(D) & k1_matrix_0(B)=k3_finseq_1(C)) )  =>  (r1_xxreal_0(k3_finseq_1(B), k5_numbers) |  (r1_xxreal_0(k3_finseq_1(C), k5_numbers) | k4_matrix_3(A, B, k3_matrix_3(A, C, D))=k3_matrix_3(A, k4_matrix_3(A, B, C), k4_matrix_3(A, B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(C)=k3_finseq_1(D) &  (k1_matrix_0(C)=k1_matrix_0(D) & k3_finseq_1(B)=k1_matrix_0(C)) )  =>  (r1_xxreal_0(k3_finseq_1(C), k5_numbers) |  (r1_xxreal_0(k3_finseq_1(B), k5_numbers) | k4_matrix_3(A, k3_matrix_3(A, C, D), B)=k3_matrix_3(A, k4_matrix_3(A, C, B), k4_matrix_3(A, D, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_matrix_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(A), B, C) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(A)))) )  =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(A), C, D) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(A)))) )  =>  (k1_matrix_0(E)=k3_finseq_1(F) =>  (r1_xxreal_0(k3_finseq_1(E), k5_numbers) |  (r1_xxreal_0(k3_finseq_1(F), k5_numbers) |  (v1_matrix_0(k4_matrix_3(A, E, F)) &  (v2_matrix_0(k4_matrix_3(A, E, F), u1_struct_0(A), B, D) & m2_finseq_1(k4_matrix_3(A, E, F), k3_finseq_2(u1_struct_0(A)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_matrix_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  &  (v1_matrix_0(C) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(A)))) ) )  =>  (v1_matrix_0(k1_matrix_4(A, B, C)) & m2_finseq_1(k1_matrix_4(A, B, C), k3_finseq_2(u1_struct_0(A)))) ) ) ).
fof(t1_matrix_5, axiom, 1=k1_group_1(k1_complfld)).
fof(t2_matrix_5, axiom, k4_struct_0(k1_complfld)=k5_numbers).
fof(d1_matrix_5, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k2_numbers)))  => k1_matrix_5(A)=A) ) ).
fof(d2_matrix_5, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k1_complfld))))  => k2_matrix_5(A)=A) ) ).
fof(t3_matrix_5, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k2_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k2_numbers)))  =>  (k1_matrix_5(A)=k1_matrix_5(B) => A=B) ) ) ) ) ).
fof(t4_matrix_5, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k1_complfld))))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k1_complfld))))  =>  (k2_matrix_5(A)=k2_matrix_5(B) => A=B) ) ) ) ) ).
fof(t5_matrix_5, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k2_numbers)))  => A=k2_matrix_5(k1_matrix_5(A))) ) ).
fof(t6_matrix_5, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k1_complfld))))  => A=k1_matrix_5(k2_matrix_5(A))) ) ).
fof(d3_matrix_5, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k2_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k2_numbers)))  => k3_matrix_5(A, B)=k2_matrix_5(k3_matrix_3(k1_complfld, k1_matrix_5(A), k1_matrix_5(B)))) ) ) ) ).
fof(d4_matrix_5, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k2_numbers)))  => k4_matrix_5(A)=k2_matrix_5(k2_matrix_3(k1_complfld, k1_matrix_5(A)))) ) ).
fof(d5_matrix_5, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k2_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k2_numbers)))  => k5_matrix_5(A, B)=k2_matrix_5(k1_matrix_4(k1_complfld, k1_matrix_5(A), k1_matrix_5(B)))) ) ) ) ).
fof(d6_matrix_5, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k2_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k2_numbers)))  => k6_matrix_5(A, B)=k2_matrix_5(k4_matrix_3(k1_complfld, k1_matrix_5(A), k1_matrix_5(B)))) ) ) ) ).
fof(d7_matrix_5, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k2_numbers)))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k2_numbers)))  =>  (C=k7_matrix_5(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_complfld)) =>  (D=A => C=k2_matrix_5(k6_matrix_3(k1_complfld, k1_matrix_5(B), D))) ) ) ) ) ) ) ) ) ) ).
fof(t7_matrix_5, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k2_numbers)))  =>  (k3_finseq_1(A)=k3_finseq_1(k1_matrix_5(A)) & k1_matrix_0(A)=k1_matrix_0(k1_matrix_5(A))) ) ) ).
fof(t8_matrix_5, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k1_complfld))))  =>  (k3_finseq_1(A)=k3_finseq_1(k2_matrix_5(A)) & k1_matrix_0(A)=k1_matrix_0(k2_matrix_5(A))) ) ) ).
fof(t9_matrix_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  => k6_matrix_3(A, B, k1_group_1(A))=B) ) ) ) ).
fof(t10_matrix_5, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k2_numbers)))  => k7_matrix_5(1, A)=A) ) ).
fof(t11_matrix_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  => k6_matrix_3(A, k6_matrix_3(A, D, C), B)=k6_matrix_3(A, D, k8_group_1(A, B, C))) ) ) ) ) ) ) ) ).
fof(t12_matrix_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  => k6_matrix_3(A, D, k3_rlvect_1(A, B, C))=k3_matrix_3(A, k6_matrix_3(A, D, B), k6_matrix_3(A, D, C))) ) ) ) ) ) ) ) ).
fof(t13_matrix_5, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k2_numbers)))  => k3_matrix_5(A, A)=k7_matrix_5(2, A)) ) ).
fof(t14_matrix_5, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k2_numbers)))  => k3_matrix_5(k3_matrix_5(A, A), A)=k7_matrix_5(3, A)) ) ).
fof(d8_matrix_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k8_matrix_5(A, B)=k2_matrix_5(k1_matrix_3(k1_complfld, A, B))) ) ) ) ).
fof(t15_matrix_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k1_matrix_5(k8_matrix_5(A, B))=k1_matrix_3(k1_complfld, A, B)) ) ) ) ).
fof(t16_matrix_5, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k2_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k2_numbers)))  =>  ( (k3_finseq_1(A)=k3_finseq_1(B) &  (k1_matrix_0(A)=k1_matrix_0(B) & A=k3_matrix_5(A, B)) )  => B=k8_matrix_5(k3_finseq_1(A), k1_matrix_0(A))) ) ) ) ) ).
fof(t17_matrix_5, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k2_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k2_numbers)))  =>  ( (k3_finseq_1(A)=k3_finseq_1(B) &  (k1_matrix_0(A)=k1_matrix_0(B) & k3_matrix_5(A, B)=k8_matrix_5(k3_finseq_1(A), k1_matrix_0(A))) )  => B=k4_matrix_5(A)) ) ) ) ) ).
fof(t18_matrix_5, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k2_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k2_numbers)))  =>  ( (k3_finseq_1(A)=k3_finseq_1(B) &  (k1_matrix_0(A)=k1_matrix_0(B) & k5_matrix_5(B, A)=B) )  => A=k8_matrix_5(k3_finseq_1(A), k1_matrix_0(A))) ) ) ) ) ).
fof(t19_matrix_5, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k2_numbers)))  => k3_matrix_5(A, k8_matrix_5(k3_finseq_1(A), k1_matrix_0(A)))=A) ) ).
fof(t20_matrix_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(C)=k3_finseq_1(D) & k1_matrix_0(C)=k1_matrix_0(D))  => k6_matrix_3(A, k3_matrix_3(A, C, D), B)=k3_matrix_3(A, k6_matrix_3(A, C, B), k6_matrix_3(A, D, B))) ) ) ) ) ) ) ) ) ).
fof(t21_matrix_5, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k2_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k2_numbers)))  =>  (! [C] :  (v1_xcmplx_0(C) =>  ( (k3_finseq_1(A)=k3_finseq_1(B) & k1_matrix_0(A)=k1_matrix_0(B))  => k7_matrix_5(C, k3_matrix_5(A, B))=k3_matrix_5(k7_matrix_5(C, A), k7_matrix_5(C, B))) ) ) ) ) ) ) ).
fof(t22_matrix_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (k1_matrix_0(B)=k3_finseq_1(C) =>  (r1_xxreal_0(k3_finseq_1(B), k5_numbers) |  (r1_xxreal_0(k3_finseq_1(C), k5_numbers) | k4_matrix_3(A, k1_matrix_3(A, k3_finseq_1(B), k1_matrix_0(B)), C)=k1_matrix_3(A, k3_finseq_1(B), k1_matrix_0(C))) ) ) ) ) ) ) ) ) ).
fof(t23_matrix_5, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k2_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k2_numbers)))  =>  (k1_matrix_0(A)=k3_finseq_1(B) =>  (r1_xxreal_0(k3_finseq_1(A), k5_numbers) |  (r1_xxreal_0(k3_finseq_1(B), k5_numbers) | k6_matrix_5(k8_matrix_5(k3_finseq_1(A), k1_matrix_0(A)), B)=k8_matrix_5(k3_finseq_1(A), k1_matrix_0(B))) ) ) ) ) ) ) ).
fof(t24_matrix_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  ( ~ (r1_xxreal_0(k3_finseq_1(B), k5_numbers))  => k6_matrix_3(A, B, k4_struct_0(A))=k1_matrix_3(A, k3_finseq_1(B), k1_matrix_0(B))) ) ) ) ) ).
fof(t25_matrix_5, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k2_numbers)))  =>  ( ~ (r1_xxreal_0(k3_finseq_1(A), k5_numbers))  => k7_matrix_5(k5_numbers, A)=k8_matrix_5(k3_finseq_1(A), k1_matrix_0(A))) ) ) ).
fof(t26_matrix_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k2_numbers)))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(k2_numbers)))  =>  ~ ( ( ~ (r1_xxreal_0(k3_finseq_1(D), k5_numbers))  &  (! [E] :  (m2_finseq_1(E, k2_numbers) =>  ~ ( (k3_finseq_1(E)=k3_finseq_1(D) &  (k9_matrix_5(E, 1)=k3_xcmplx_0(k3_matrix_0(k2_numbers, C, A, 1), k3_matrix_0(k2_numbers, D, 1, B)) &  (! [F] :  (v7_ordinal1(F) =>  (r1_xxreal_0(1, F) =>  (r1_xxreal_0(k3_finseq_1(D), F) | k9_matrix_5(E, k2_xcmplx_0(F, 1))=k2_xcmplx_0(k9_matrix_5(E, F), k3_xcmplx_0(k3_matrix_0(k2_numbers, C, A, k2_xcmplx_0(F, 1)), k3_matrix_0(k2_numbers, D, k2_xcmplx_0(F, 1), B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_matrix_5, axiom,  (! [A] :  ( (v1_matrix_0(A) & m1_finseq_1(A, k3_finseq_2(k2_numbers)))  =>  (v1_matrix_0(k1_matrix_5(A)) & m2_finseq_1(k1_matrix_5(A), k3_finseq_2(u1_struct_0(k1_complfld)))) ) ) ).
fof(dt_k2_matrix_5, axiom,  (! [A] :  ( (v1_matrix_0(A) & m1_finseq_1(A, k3_finseq_2(u1_struct_0(k1_complfld))))  =>  (v1_matrix_0(k2_matrix_5(A)) & m2_finseq_1(k2_matrix_5(A), k3_finseq_2(k2_numbers))) ) ) ).
fof(dt_k3_matrix_5, axiom,  (! [A, B] :  ( ( (v1_matrix_0(A) & m1_finseq_1(A, k3_finseq_2(k2_numbers)))  &  (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(k2_numbers))) )  =>  (v1_matrix_0(k3_matrix_5(A, B)) & m2_finseq_1(k3_matrix_5(A, B), k3_finseq_2(k2_numbers))) ) ) ).
fof(dt_k4_matrix_5, axiom,  (! [A] :  ( (v1_matrix_0(A) & m1_finseq_1(A, k3_finseq_2(k2_numbers)))  =>  (v1_matrix_0(k4_matrix_5(A)) & m2_finseq_1(k4_matrix_5(A), k3_finseq_2(k2_numbers))) ) ) ).
fof(dt_k5_matrix_5, axiom,  (! [A, B] :  ( ( (v1_matrix_0(A) & m1_finseq_1(A, k3_finseq_2(k2_numbers)))  &  (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(k2_numbers))) )  =>  (v1_matrix_0(k5_matrix_5(A, B)) & m2_finseq_1(k5_matrix_5(A, B), k3_finseq_2(k2_numbers))) ) ) ).
fof(dt_k6_matrix_5, axiom,  (! [A, B] :  ( ( (v1_matrix_0(A) & m1_finseq_1(A, k3_finseq_2(k2_numbers)))  &  (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(k2_numbers))) )  =>  (v1_matrix_0(k6_matrix_5(A, B)) & m2_finseq_1(k6_matrix_5(A, B), k3_finseq_2(k2_numbers))) ) ) ).
fof(dt_k7_matrix_5, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) &  (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(k2_numbers))) )  =>  (v1_matrix_0(k7_matrix_5(A, B)) & m2_finseq_1(k7_matrix_5(A, B), k3_finseq_2(k2_numbers))) ) ) ).
fof(dt_k8_matrix_5, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  =>  (v1_matrix_0(k8_matrix_5(A, B)) & m2_finseq_1(k8_matrix_5(A, B), k3_finseq_2(k2_numbers))) ) ) ).
fof(dt_k9_matrix_5, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  => m1_subset_1(k9_matrix_5(A, B), k2_numbers)) ) ).
fof(redefinition_k9_matrix_5, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  => k9_matrix_5(A, B)=k1_funct_1(A, B)) ) ).
fof(fc1_matrix_6, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  &  (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) ) ) )  =>  (v1_matrix_0(k2_matrix_3(B, C)) & v2_matrix_0(k2_matrix_3(B, C), u1_struct_0(B), A, A)) ) ) ).
fof(fc2_matrix_6, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  &  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  &  (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m1_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) ) ) ) )  =>  (v1_matrix_0(k3_matrix_3(B, C, D)) & v2_matrix_0(k3_matrix_3(B, C, D), u1_struct_0(B), A, A)) ) ) ).
fof(fc3_matrix_6, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  &  (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m1_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) ) ) ) )  =>  (v1_matrix_0(k1_matrix_4(B, C, D)) & v2_matrix_0(k1_matrix_4(B, C, D), u1_struct_0(B), A, A)) ) ) ).
fof(fc4_matrix_6, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  &  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  &  (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m1_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) ) ) ) )  =>  (v1_matrix_0(k4_matrix_3(B, C, D)) & v2_matrix_0(k4_matrix_3(B, C, D), u1_struct_0(B), A, A)) ) ) ).
fof(fc5_matrix_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  & v7_ordinal1(B))  =>  (v1_matrix_0(k3_matrix_1(A, B)) &  (v2_matrix_0(k3_matrix_1(A, B), u1_struct_0(A), B, B) & v1_matrix_6(k3_matrix_1(A, B), B, A)) ) ) ) ).
fof(rc1_matrix_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  & v7_ordinal1(B))  =>  (? [C] :  (m1_finseq_1(C, k3_finseq_2(u1_struct_0(A))) &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, k3_finseq_2(u1_struct_0(A))) &  (v1_funct_1(C) &  (v1_finseq_1(C) &  (v1_funcop_1(C) &  (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(A), B, B) & v1_matrix_6(C, B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc6_matrix_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (v7_ordinal1(B) &  (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(A), B, B) &  (v1_matrix_6(C, B, A) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(A)))) ) ) ) )  =>  (v1_matrix_0(k4_matrix_0(u1_struct_0(A), C)) & v1_matrix_6(k4_matrix_0(u1_struct_0(A), C), B, A)) ) ) ).
fof(fc7_matrix_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (v7_ordinal1(B) &  (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(A), B, B) &  (v1_matrix_6(C, B, A) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(A)))) ) ) ) )  =>  (v1_matrix_0(k1_matrix_6(B, A, C)) &  (v2_matrix_0(k1_matrix_6(B, A, C), u1_struct_0(A), B, B) & v1_matrix_6(k1_matrix_6(B, A, C), B, A)) ) ) ) ).
fof(fc8_matrix_6, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_matrix_0(k3_matrix_1(B, A)) &  (v2_matrix_0(k3_matrix_1(B, A), u1_struct_0(B), A, A) & v2_matrix_6(k3_matrix_1(B, A), A, B)) ) ) ) ).
fof(d1_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (r1_matrix_6(A, B, C, D) <=> k4_matrix_3(B, C, D)=k4_matrix_3(B, D, C)) ) ) ) ) ) ) ) ) ).
fof(d2_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (r2_matrix_6(A, B, C, D) <=>  (k4_matrix_3(B, C, D)=k4_matrix_3(B, D, C) & k4_matrix_3(B, C, D)=k3_matrix_1(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(d3_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (v1_matrix_6(C, A, B) <=>  (? [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  & r2_matrix_6(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t1_matrix_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  => k4_matrix_3(A, k1_matrix_3(A, k3_finseq_1(B), k3_finseq_1(B)), B)=k1_matrix_3(A, k3_finseq_1(B), k1_matrix_0(B))) ) ) ) ).
fof(t2_matrix_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  ( ~ (r1_xxreal_0(k1_matrix_0(B), k5_numbers))  => k4_matrix_3(A, B, k1_matrix_3(A, k1_matrix_0(B), k1_matrix_0(B)))=k1_matrix_3(A, k3_finseq_1(B), k1_matrix_0(B))) ) ) ) ) ).
fof(t3_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  => r1_matrix_6(A, B, C, k1_matrix_3(B, A, A))) ) ) ) ) ) ).
fof(t4_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(B), A, A) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (r1_matrix_6(A, B, C, D) &  (r1_matrix_6(A, B, D, E) & r1_matrix_6(A, B, C, E)) )  => r1_matrix_6(A, B, C, k4_matrix_3(B, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(B), A, A) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (r1_matrix_6(A, B, C, D) & r1_matrix_6(A, B, C, E))  =>  (r1_xxreal_0(A, k5_numbers) | r1_matrix_6(A, B, C, k3_matrix_3(B, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  => r1_matrix_6(A, B, C, k3_matrix_1(B, A))) ) ) ) ) ) ).
fof(t7_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(B), A, A) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (r2_matrix_6(A, B, D, E) & r2_matrix_6(A, B, C, E))  => C=D) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (v1_matrix_6(C, A, B) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (D=k1_matrix_6(A, B, C) <=> r2_matrix_6(A, B, D, C)) ) ) ) ) ) ) ) ) ) ).
fof(t8_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (k1_matrix_6(A, B, k3_matrix_1(B, A))=k3_matrix_1(B, A) & v1_matrix_6(k3_matrix_1(B, A), A, B)) ) ) ) ) ).
fof(t9_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  => k1_matrix_6(A, B, k1_matrix_6(A, B, k3_matrix_1(B, A)))=k3_matrix_1(B, A)) ) ) ) ).
fof(t10_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  => k4_matrix_0(u1_struct_0(B), k3_matrix_1(B, A))=k3_matrix_1(B, A)) ) ) ) ).
fof(t11_matrix_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) => k1_matrix_6(B, A, k4_matrix_0(u1_struct_0(A), k3_matrix_1(A, B)))=k3_matrix_1(A, B)) ) ) ) ).
fof(t12_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (r2_matrix_6(A, B, D, C) =>  (r1_xxreal_0(A, k5_numbers) | r2_matrix_6(A, B, k4_matrix_0(u1_struct_0(B), C), k4_matrix_0(u1_struct_0(B), D))) ) ) ) ) ) ) ) ) ) ).
fof(t13_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (v1_matrix_6(C, A, B) =>  (v1_matrix_6(k4_matrix_0(u1_struct_0(B), C), A, B) & k1_matrix_6(A, B, k4_matrix_0(u1_struct_0(B), C))=k4_matrix_0(u1_struct_0(B), k1_matrix_6(A, B, C))) ) ) ) ) ) ) ) ).
fof(t14_matrix_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(A), B, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(A), B, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A)))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(A), B, B) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(A)))) )  =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(A), B, B) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(A)))) )  =>  ( (r2_matrix_6(B, A, E, C) & r2_matrix_6(B, A, F, D))  => r2_matrix_6(B, A, k4_matrix_3(A, E, F), k4_matrix_3(A, D, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_matrix_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(A), B, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(A), B, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A)))) )  =>  (r2_matrix_6(B, A, D, C) => r1_matrix_6(B, A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t16_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (v1_matrix_6(C, A, B) =>  (v1_matrix_6(k1_matrix_6(A, B, C), A, B) & k1_matrix_6(A, B, k1_matrix_6(A, B, C))=C) ) ) ) ) ) ) ) ).
fof(t17_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (k4_matrix_3(B, C, D)=k1_matrix_3(B, A, A) & v1_matrix_6(C, A, B))  =>  (r1_xxreal_0(A, k5_numbers) | r1_matrix_6(A, B, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t18_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (C=k4_matrix_3(B, C, D) & v1_matrix_6(C, A, B))  => r1_matrix_6(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t19_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (C=k4_matrix_3(B, D, C) & v1_matrix_6(C, A, B))  => r1_matrix_6(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(d5_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (v2_matrix_6(C, A, B) <=> k4_matrix_0(u1_struct_0(B), C)=C) ) ) ) ) ) ) ).
fof(t20_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k4_matrix_0(u1_struct_0(B), k11_matrix_0(u1_struct_0(B), A, A, C))=k11_matrix_0(u1_struct_0(B), A, A, C)) ) ) ) ) ) ).
fof(t21_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => v2_matrix_6(k11_matrix_0(u1_struct_0(B), A, A, C), A, B)) ) ) ) ) ) ).
fof(t22_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v2_matrix_6(C, A, B) & v2_matrix_6(D, A, B))  =>  (r1_xxreal_0(A, k5_numbers) |  (r1_matrix_6(A, B, C, D) <=> v2_matrix_6(k4_matrix_3(B, C, D), A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  => k4_matrix_0(u1_struct_0(B), k3_matrix_3(B, C, D))=k3_matrix_3(B, k4_matrix_0(u1_struct_0(B), C), k4_matrix_0(u1_struct_0(B), D))) ) ) ) ) ) ) ) ).
fof(t24_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v2_matrix_6(C, A, B) & v2_matrix_6(D, A, B))  => v2_matrix_6(k3_matrix_3(B, C, D), A, B)) ) ) ) ) ) ) ) ) ).
fof(t25_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  ( ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) &  (v2_matrix_1(C, A, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) ) )  &  (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) &  (v3_matrix_1(C, A, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) ) ) )  => v2_matrix_6(C, A, B)) ) ) ) ) ) ) ).
fof(t26_matrix_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(A), B, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A)))) )  => k4_matrix_0(u1_struct_0(A), k2_matrix_3(A, C))=k2_matrix_3(A, k4_matrix_0(u1_struct_0(A), C))) ) ) ) ) ) ).
fof(t27_matrix_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(A), B, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A)))) )  =>  (v2_matrix_6(C, B, A) => v2_matrix_6(k2_matrix_3(A, C), B, A)) ) ) ) ) ) ) ).
fof(t28_matrix_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(A), B, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(A), B, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A)))) )  =>  ( (v2_matrix_6(C, B, A) & v2_matrix_6(D, B, A))  => v2_matrix_6(k1_matrix_4(A, C, D), B, A)) ) ) ) ) ) ) ) ) ).
fof(d6_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (v3_matrix_6(C, A, B) <=> k4_matrix_0(u1_struct_0(B), C)=k2_matrix_3(B, C)) ) ) ) ) ) ) ).
fof(t29_matrix_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v12_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(A), B, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A)))) )  =>  ( (v2_matrix_6(C, B, A) & v3_matrix_6(C, B, A))  => C=k1_matrix_3(A, B, B)) ) ) ) ) ) ) ).
fof(t30_matrix_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v12_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(A), B, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A)))) )  =>  ( (v3_matrix_6(D, B, A) & r2_tarski(C, k2_finseq_1(B)))  => k3_matrix_0(u1_struct_0(A), D, C, C)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ).
fof(t31_matrix_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(A), B, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(A), B, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A)))) )  =>  ( (v3_matrix_6(C, B, A) & v3_matrix_6(D, B, A))  => v3_matrix_6(k3_matrix_3(A, C, D), B, A)) ) ) ) ) ) ) ) ) ).
fof(t32_matrix_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(A), B, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A)))) )  =>  (v3_matrix_6(C, B, A) => v3_matrix_6(k2_matrix_3(A, C), B, A)) ) ) ) ) ) ) ).
fof(t33_matrix_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(A), B, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(A), B, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A)))) )  =>  ( (v3_matrix_6(C, B, A) & v3_matrix_6(D, B, A))  => v3_matrix_6(k1_matrix_4(A, C, D), B, A)) ) ) ) ) ) ) ) ) ).
fof(t34_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => v3_matrix_6(k1_matrix_4(B, C, k4_matrix_0(u1_struct_0(B), C)), A, B)) ) ) ) ) ) ) ).
fof(t35_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( ~ (r1_xxreal_0(A, k5_numbers))  =>  (r1_matrix_6(A, B, C, D) <=> k4_matrix_3(B, k3_matrix_3(B, C, D), k3_matrix_3(B, C, D))=k3_matrix_3(B, k3_matrix_3(B, k3_matrix_3(B, k4_matrix_3(B, C, C), k4_matrix_3(B, C, D)), k4_matrix_3(B, C, D)), k4_matrix_3(B, D, D))) ) ) ) ) ) ) ) ) ) ).
fof(t36_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v1_matrix_6(C, A, B) & v1_matrix_6(D, A, B))  =>  (v1_matrix_6(k4_matrix_3(B, C, D), A, B) & k1_matrix_6(A, B, k4_matrix_3(B, C, D))=k4_matrix_3(B, k1_matrix_6(A, B, D), k1_matrix_6(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t37_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v1_matrix_6(C, A, B) &  (v1_matrix_6(D, A, B) & r1_matrix_6(A, B, C, D)) )  =>  (v1_matrix_6(k4_matrix_3(B, C, D), A, B) & k1_matrix_6(A, B, k4_matrix_3(B, C, D))=k4_matrix_3(B, k1_matrix_6(A, B, C), k1_matrix_6(A, B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t38_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v1_matrix_6(C, A, B) & k4_matrix_3(B, C, D)=k3_matrix_1(B, A))  => r2_matrix_6(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t39_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v1_matrix_6(D, A, B) & k4_matrix_3(B, D, C)=k3_matrix_1(B, A))  => r2_matrix_6(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t40_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v1_matrix_6(C, A, B) & r1_matrix_6(A, B, C, D))  => r1_matrix_6(A, B, k1_matrix_6(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(d7_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (v4_matrix_6(C, A, B) <=>  (v1_matrix_6(C, A, B) & k4_matrix_0(u1_struct_0(B), C)=k1_matrix_6(A, B, C)) ) ) ) ) ) ) ) ).
fof(t41_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (k4_matrix_3(B, C, k4_matrix_0(u1_struct_0(B), C))=k3_matrix_1(B, A) & v1_matrix_6(C, A, B))  <=> v4_matrix_6(C, A, B)) ) ) ) ) ) ) ).
fof(t42_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v1_matrix_6(C, A, B) & k4_matrix_3(B, k4_matrix_0(u1_struct_0(B), C), C)=k3_matrix_1(B, A))  <=> v4_matrix_6(C, A, B)) ) ) ) ) ) ) ).
fof(t43_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (v4_matrix_6(C, A, B) => k4_matrix_3(B, k4_matrix_0(u1_struct_0(B), C), C)=k4_matrix_3(B, C, k4_matrix_0(u1_struct_0(B), C))) ) ) ) ) ) ) ).
fof(t44_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v4_matrix_6(C, A, B) & r1_matrix_6(A, B, C, D))  => r1_matrix_6(A, B, k4_matrix_0(u1_struct_0(B), C), D)) ) ) ) ) ) ) ) ) ).
fof(t45_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v1_matrix_6(C, A, B) & v1_matrix_6(D, A, B))  =>  (v1_matrix_6(k4_matrix_3(B, C, D), A, B) & k1_matrix_6(A, B, k4_matrix_3(B, C, D))=k4_matrix_3(B, k1_matrix_6(A, B, D), k1_matrix_6(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t46_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v4_matrix_6(C, A, B) & v4_matrix_6(D, A, B))  =>  (r1_xxreal_0(A, k5_numbers) | v4_matrix_6(k4_matrix_3(B, C, D), A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t47_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v4_matrix_6(C, A, B) & r1_matrix_6(A, B, C, D))  => r1_matrix_6(A, B, k4_matrix_0(u1_struct_0(B), C), D)) ) ) ) ) ) ) ) ) ).
fof(t48_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (r1_matrix_6(A, B, C, D) =>  (r1_xxreal_0(A, k5_numbers) | r1_matrix_6(A, B, k3_matrix_3(B, C, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(t49_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (r1_matrix_6(A, B, C, D) =>  (r1_xxreal_0(A, k5_numbers) | r1_matrix_6(A, B, k3_matrix_3(B, C, D), D)) ) ) ) ) ) ) ) ) ) ).
fof(t50_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (r1_matrix_6(A, B, C, D) =>  (r1_xxreal_0(A, k5_numbers) | r1_matrix_6(A, B, k3_matrix_3(B, C, C), k3_matrix_3(B, D, D))) ) ) ) ) ) ) ) ) ) ).
fof(t51_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (r1_matrix_6(A, B, C, D) =>  (r1_xxreal_0(A, k5_numbers) | r1_matrix_6(A, B, k3_matrix_3(B, C, D), k3_matrix_3(B, D, D))) ) ) ) ) ) ) ) ) ) ).
fof(t52_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (r1_matrix_6(A, B, C, D) => r1_matrix_6(A, B, k4_matrix_3(B, C, D), D)) ) ) ) ) ) ) ) ) ).
fof(t53_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (r1_matrix_6(A, B, C, D) => r1_matrix_6(A, B, k4_matrix_3(B, C, C), D)) ) ) ) ) ) ) ) ) ).
fof(t54_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (r1_matrix_6(A, B, C, D) => r1_matrix_6(A, B, k4_matrix_3(B, C, C), k4_matrix_3(B, D, D))) ) ) ) ) ) ) ) ) ).
fof(t55_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (r1_matrix_6(A, B, C, D) =>  (r1_xxreal_0(A, k5_numbers) | r1_matrix_6(A, B, k4_matrix_0(u1_struct_0(B), C), k4_matrix_0(u1_struct_0(B), D))) ) ) ) ) ) ) ) ) ) ).
fof(t56_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(B), A, A) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v1_matrix_6(C, A, B) &  (v1_matrix_6(D, A, B) & v1_matrix_6(E, A, B)) )  =>  (v1_matrix_6(k4_matrix_3(B, k4_matrix_3(B, C, D), E), A, B) & k1_matrix_6(A, B, k4_matrix_3(B, k4_matrix_3(B, C, D), E))=k4_matrix_3(B, k4_matrix_3(B, k1_matrix_6(A, B, E), k1_matrix_6(A, B, D)), k1_matrix_6(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(B), A, A) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v4_matrix_6(C, A, B) &  (v4_matrix_6(D, A, B) & v4_matrix_6(E, A, B)) )  =>  (r1_xxreal_0(A, k5_numbers) | v4_matrix_6(k4_matrix_3(B, k4_matrix_3(B, C, D), E), A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  => v4_matrix_6(k3_matrix_1(B, A), A, B)) ) ) ) ).
fof(t59_matrix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v4_matrix_6(C, A, B) & v4_matrix_6(D, A, B))  =>  (r1_xxreal_0(A, k5_numbers) | v4_matrix_6(k4_matrix_3(B, k1_matrix_6(A, B, C), D), A, B)) ) ) ) ) ) ) ) ) ) ).
fof(symmetry_r1_matrix_6, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  &  (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m1_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) ) ) ) )  =>  (r1_matrix_6(A, B, C, D) => r1_matrix_6(A, B, D, C)) ) ) ).
fof(reflexivity_r1_matrix_6, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  &  (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m1_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) ) ) ) )  => r1_matrix_6(A, B, C, C)) ) ).
fof(symmetry_r2_matrix_6, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  &  (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m1_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) ) ) ) )  =>  (r2_matrix_6(A, B, C, D) => r2_matrix_6(A, B, D, C)) ) ) ).
fof(dt_k1_matrix_6, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) ) ) )  =>  (v1_matrix_0(k1_matrix_6(A, B, C)) &  (v2_matrix_0(k1_matrix_6(A, B, C), u1_struct_0(B), A, A) & m2_finseq_1(k1_matrix_6(A, B, C), k3_finseq_2(u1_struct_0(B)))) ) ) ) ).
fof(t1_matrix_7, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_finseq_1(2), k2_finseq_1(2)) &  (v3_funct_2(A, k2_finseq_1(2), k2_finseq_1(2)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(2), k2_finseq_1(2))))) ) )  =>  (A=k10_finseq_1(1, 2) | A=k10_finseq_1(2, 1)) ) ) ).
fof(t2_matrix_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  ( (A=k10_finseq_1(1, 2) | A=k10_finseq_1(2, 1))  =>  (v1_funct_1(A) &  (v1_funct_2(A, k2_finseq_1(2), k2_finseq_1(2)) &  (v3_funct_2(A, k2_finseq_1(2), k2_finseq_1(2)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(2), k2_finseq_1(2))))) ) ) ) ) ) ).
fof(t3_matrix_7, axiom, k9_matrix_1(2)=k2_tarski(k10_finseq_1(1, 2), k10_finseq_1(2, 1))).
fof(t4_matrix_7, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_finseq_1(2), k2_finseq_1(2)) &  (v3_funct_2(A, k2_finseq_1(2), k2_finseq_1(2)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(2), k2_finseq_1(2))))) ) )  =>  (v5_matrix_1(A, 2) => A=k10_finseq_1(2, 1)) ) ) ).
fof(t5_matrix_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(1, C) =>  (r1_xxreal_0(k3_finseq_1(B), C) | B=k8_finseq_1(A, k3_finseq_6(A, B, 1, C), k3_finseq_6(A, B, k1_nat_1(C, 1), k3_finseq_1(B)))) ) ) ) ) ) ) ) ).
fof(t6_matrix_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (r1_xxreal_0(2, k3_finseq_1(B)) => B=k8_finseq_1(A, k17_finseq_1(A, k7_nat_d(k3_finseq_1(B), 2), B), k3_finseq_6(A, B, k7_nat_d(k3_finseq_1(B), 1), k3_finseq_1(B)))) ) ) ) ) ).
fof(t7_matrix_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (r1_xxreal_0(1, k3_finseq_1(B)) => B=k8_finseq_1(A, k17_finseq_1(A, k7_nat_d(k3_finseq_1(B), 1), B), k3_finseq_6(A, B, k3_finseq_1(B), k3_finseq_1(B)))) ) ) ) ) ).
fof(t8_matrix_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k10_matrix_1(2))) =>  ( (? [B] :  (m1_matrix_1(B, k9_matrix_1(2)) &  (B=A & v5_matrix_1(B, k8_matrix_1(k9_matrix_1(2)))) ) )  => A=k10_finseq_1(2, 1)) ) ) ).
fof(t9_matrix_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k10_matrix_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k10_matrix_1(A))) =>  (! [D] :  (m1_matrix_1(D, k9_matrix_1(A)) =>  (! [E] :  (m1_matrix_1(E, k9_matrix_1(A)) =>  ( (B=D & C=E)  => k6_algstr_0(k10_matrix_1(A), B, C)=k1_partfun1(k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_matrix_7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k10_matrix_1(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k10_matrix_1(2))) =>  ~ ( ( (? [C] :  (m1_matrix_1(C, k9_matrix_1(2)) &  (C=A & v5_matrix_1(C, k8_matrix_1(k9_matrix_1(2)))) ) )  &  ( (? [C] :  (m1_matrix_1(C, k9_matrix_1(2)) &  (C=B & v5_matrix_1(C, k8_matrix_1(k9_matrix_1(2)))) ) )  &  ~ (k6_algstr_0(k10_matrix_1(2), A, B)=k10_finseq_1(1, 2)) ) ) ) ) ) ) ) ).
fof(t11_matrix_7, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k10_matrix_1(2))) =>  ( (k4_nat_d(k3_finseq_1(A), 2)=k5_numbers &  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r2_tarski(B, k4_finseq_1(A)) &  (! [C] :  (m1_matrix_1(C, k9_matrix_1(2)) =>  ~ ( (k1_funct_1(A, B)=C & v5_matrix_1(C, k8_matrix_1(k9_matrix_1(2)))) ) ) ) ) ) ) ) )  => k3_group_4(k10_matrix_1(2), A)=k10_finseq_1(1, 2)) ) ) ).
fof(t12_matrix_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, u1_struct_0(A), 2, 2) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A)))) )  => k12_matrix_3(2, A, B)=k5_algstr_0(A, k8_group_1(A, k3_matrix_0(u1_struct_0(A), B, 1, 1), k3_matrix_0(u1_struct_0(A), B, 2, 2)), k8_group_1(A, k3_matrix_0(u1_struct_0(A), B, 1, 2), k3_matrix_0(u1_struct_0(A), B, 2, 1)))) ) ) ) ).
fof(t13_matrix_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (k3_finseq_1(k1_matrix_3(A, B, C))=B & k4_finseq_1(k1_matrix_3(A, B, C))=k2_finseq_1(B)) ) ) ) ) ) ) ).
fof(t14_matrix_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_matrix_1(C, k9_matrix_1(B)) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k2_finseq_1(B)) => r2_tarski(k1_funct_1(C, D), k2_finseq_1(B))) ) ) ) ) ) ) ) ) ).
fof(t15_matrix_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(1, B) => k12_matrix_3(B, A, k1_matrix_3(A, B, B))=k4_struct_0(A)) ) ) ) ) ).
fof(d1_matrix_7, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (r2_hidden(A, B) => k2_matrix_7(A, B, C, D)=C)  &  ( ~ (r2_hidden(A, B))  => k2_matrix_7(A, B, C, D)=D) ) ) ) ) ) ).
fof(t16_matrix_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(1, B) => k12_matrix_3(B, A, k3_matrix_1(A, B))=k1_group_1(A)) ) ) ) ) ).
fof(d2_matrix_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (v1_matrix_1(C, B) <=>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(D, k2_finseq_1(A)) & r2_tarski(E, k2_finseq_1(A)))  =>  (D=E | k3_matrix_0(u1_struct_0(B), C, D, E)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_matrix_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(A), B, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A)))) )  =>  ( (r1_xxreal_0(1, B) & v1_matrix_1(C, A))  => k12_matrix_3(B, A, C)=k1_finsop_1(u1_struct_0(A), k13_matrix_3(B, A, C), u2_algstr_0(A))) ) ) ) ) ) ) ).
fof(t18_matrix_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_matrix_1(B, k9_matrix_1(A)) => m1_matrix_1(k2_funct_2(k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), B), k9_matrix_1(A))) ) ) ) ).
fof(t20_matrix_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) => k2_group_1(A, k3_group_4(A, k8_finseq_1(u1_struct_0(A), B, C)))=k6_algstr_0(A, k2_group_1(A, k3_group_4(A, C)), k2_group_1(A, k3_group_4(A, B)))) ) ) ) ) ) ).
fof(d4_matrix_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (C=k4_matrix_7(A, B) <=>  (k3_finseq_1(C)=k3_finseq_1(B) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(B)) => k7_partfun1(u1_struct_0(A), C, D)=k2_group_1(A, k7_partfun1(u1_struct_0(A), B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_matrix_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  => k4_matrix_7(A, k6_finseq_1(u1_struct_0(A)))=k6_finseq_1(u1_struct_0(A))) ) ).
fof(t22_matrix_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) => k4_matrix_7(A, k8_finseq_1(u1_struct_0(A), B, C))=k8_finseq_1(u1_struct_0(A), k4_matrix_7(A, B), k4_matrix_7(A, C))) ) ) ) ) ) ).
fof(t23_matrix_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k4_matrix_7(A, k13_matrix_0(u1_struct_0(A), B))=k13_matrix_0(u1_struct_0(A), k2_group_1(A, B))) ) ) ) ).
fof(t24_matrix_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) => k3_group_4(A, k8_finseq_1(u1_struct_0(A), B, k4_matrix_7(A, k4_finseq_5(u1_struct_0(A), B))))=k1_group_1(A)) ) ) ) ).
fof(t25_matrix_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) => k3_group_4(A, k8_finseq_1(u1_struct_0(A), k4_matrix_7(A, k4_finseq_5(u1_struct_0(A), B)), B))=k1_group_1(A)) ) ) ) ).
fof(t26_matrix_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) => k2_group_1(A, k3_group_4(A, B))=k3_group_4(A, k4_matrix_7(A, k4_finseq_5(u1_struct_0(A), B)))) ) ) ) ).
fof(t27_matrix_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_matrix_1(B, k9_matrix_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k10_matrix_1(A))) =>  ( (C=B & r1_xxreal_0(1, A))  => k3_matrix_7(A, B)=k2_group_1(k10_matrix_1(A), C)) ) ) ) ) ) ) ).
fof(t28_matrix_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_matrix_1(B, k9_matrix_1(A)) =>  (r1_xxreal_0(1, A) =>  (v6_matrix_1(B, k8_matrix_1(k9_matrix_1(A))) <=> v6_matrix_1(k3_matrix_7(A, B), k8_matrix_1(k9_matrix_1(A)))) ) ) ) ) ) ).
fof(t29_matrix_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_matrix_1(C, k9_matrix_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r1_xxreal_0(1, A) => k11_matrix_1(B, A, D, C)=k11_matrix_1(B, A, D, k3_matrix_7(A, C))) ) ) ) ) ) ) ) ) ).
fof(t30_matrix_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) => k1_finsop_1(u1_struct_0(A), k8_finseq_1(u1_struct_0(A), B, C), u2_algstr_0(A))=k8_group_1(A, k1_finsop_1(u1_struct_0(A), B, u2_algstr_0(A)), k1_finsop_1(u1_struct_0(A), C, u2_algstr_0(A)))) ) ) ) ) ) ).
fof(t31_matrix_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (r2_classes1(B, C) => k1_finsop_1(u1_struct_0(A), B, u2_algstr_0(A))=k1_finsop_1(u1_struct_0(A), C, u2_algstr_0(A))) ) ) ) ) ) ) ).
fof(t32_matrix_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_matrix_1(C, k9_matrix_1(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(B)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(B)) =>  ( (k3_finseq_1(D)=A & E=k1_partfun1(k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k4_ordinal1, u1_struct_0(B), C, D))  => r2_classes1(D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_matrix_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_matrix_1(C, k9_matrix_1(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(B)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(B)) =>  ( (r1_xxreal_0(1, A) &  (k3_finseq_1(D)=A & E=k1_partfun1(k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k4_ordinal1, u1_struct_0(B), C, D)) )  => k1_finsop_1(u1_struct_0(B), D, u2_algstr_0(B))=k1_finsop_1(u1_struct_0(B), E, u2_algstr_0(B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_matrix_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  (m1_matrix_1(C, k9_matrix_1(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(B)) =>  ( (r1_xxreal_0(1, A) & k3_finseq_1(D)=A)  => m2_finseq_1(k1_partfun1(k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k4_ordinal1, u1_struct_0(B), C, D), u1_struct_0(B))) ) ) ) ) ) ) ) ) ).
fof(t35_matrix_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_matrix_1(C, k9_matrix_1(A)) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (r1_xxreal_0(1, A) => k10_matrix_3(A, B, k4_matrix_0(u1_struct_0(B), D), k3_matrix_7(A, C))=k1_partfun1(k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k4_ordinal1, u1_struct_0(B), k3_matrix_7(A, C), k10_matrix_3(A, B, D, C))) ) ) ) ) ) ) ) ) ).
fof(t36_matrix_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_matrix_1(C, k9_matrix_1(A)) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (r1_xxreal_0(1, A) => k3_funct_2(k9_matrix_1(A), u1_struct_0(B), k11_matrix_3(A, B, k4_matrix_0(u1_struct_0(B), D)), k3_matrix_7(A, C))=k3_funct_2(k9_matrix_1(A), u1_struct_0(B), k11_matrix_3(A, B, D), C)) ) ) ) ) ) ) ) ) ).
fof(t37_matrix_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (r1_xxreal_0(1, A) => k12_matrix_3(A, B, C)=k12_matrix_3(A, B, k4_matrix_0(u1_struct_0(B), C))) ) ) ) ) ) ) ).
fof(dt_k1_matrix_7, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  &  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  & m1_subset_1(D, u1_struct_0(B))) ) )  =>  (v1_matrix_0(k1_matrix_7(A, B, C, D)) &  (v2_matrix_0(k1_matrix_7(A, B, C, D), u1_struct_0(B), A, A) & m2_finseq_1(k1_matrix_7(A, B, C, D), k3_finseq_2(u1_struct_0(B)))) ) ) ) ).
fof(redefinition_k1_matrix_7, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  &  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  & m1_subset_1(D, u1_struct_0(B))) ) )  => k1_matrix_7(A, B, C, D)=k6_matrix_3(B, C, D)) ) ).
fof(redefinition_v1_matrix_7, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) ) ) )  =>  (v1_matrix_7(C, A, B) <=> v1_matrix_1(C, B)) ) ) ).
fof(dt_k3_matrix_7, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k9_matrix_1(A)))  => m1_matrix_1(k3_matrix_7(A, B), k9_matrix_1(A))) ) ).
fof(redefinition_k3_matrix_7, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k9_matrix_1(A)))  => k3_matrix_7(A, B)=k2_funct_1(B)) ) ).
fof(dt_k4_matrix_7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  & m1_finseq_1(B, u1_struct_0(A)))  => m2_finseq_1(k4_matrix_7(A, B), u1_struct_0(A))) ) ).
fof(fc1_matrix_8, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_matrix_0(k3_matrix_1(B, A)) &  (v2_matrix_0(k3_matrix_1(B, A), u1_struct_0(B), A, A) &  (v1_matrix_8(k3_matrix_1(B, A), A, B) & v3_matrix_8(k3_matrix_1(B, A), A, B)) ) ) ) ) ).
fof(fc2_matrix_8, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_matrix_0(k2_matrix_1(B, A)) &  (v2_matrix_0(k2_matrix_1(B, A), u1_struct_0(B), A, A) &  (v1_matrix_8(k2_matrix_1(B, A), A, B) & v2_matrix_8(k2_matrix_1(B, A), A, B)) ) ) ) ) ).
fof(d1_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (v1_matrix_8(C, A, B) <=> k4_matrix_3(B, C, C)=C) ) ) ) ) ) ) ).
fof(d2_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (v2_matrix_8(C, A, B) <=> k4_matrix_3(B, C, C)=k2_matrix_1(B, A)) ) ) ) ) ) ) ).
fof(d3_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (v3_matrix_8(C, A, B) <=> k4_matrix_3(B, C, C)=k3_matrix_1(B, A)) ) ) ) ) ) ) ).
fof(d4_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (v4_matrix_8(C, A, B) <=>  (v1_matrix_6(C, A, B) & k1_matrix_6(A, B, C)=C) ) ) ) ) ) ) ) ).
fof(t1_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (v1_matrix_8(k3_matrix_1(B, A), A, B) & v3_matrix_8(k3_matrix_1(B, A), A, B)) ) ) ) ) ).
fof(t2_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (v1_matrix_8(k2_matrix_1(B, A), A, B) & v2_matrix_8(k2_matrix_1(B, A), A, B)) ) ) ) ) ).
fof(t3_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  ( ~ (r1_xxreal_0(A, k5_numbers))  =>  (v1_matrix_8(C, A, B) <=> v1_matrix_8(k4_matrix_0(u1_struct_0(B), C), A, B)) ) ) ) ) ) ) ) ).
fof(t4_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (v3_matrix_8(C, A, B) => v1_matrix_6(C, A, B)) ) ) ) ) ) ) ).
fof(t5_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v1_matrix_8(C, A, B) &  (v1_matrix_8(D, A, B) & r1_matrix_6(A, B, C, D)) )  => r1_matrix_6(A, B, k4_matrix_3(B, C, C), k4_matrix_3(B, D, D))) ) ) ) ) ) ) ) ) ).
fof(t6_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v1_matrix_8(C, A, B) &  (v1_matrix_8(D, A, B) &  (r1_matrix_6(A, B, C, D) & k4_matrix_3(B, C, D)=k2_matrix_1(B, A)) ) )  =>  (r1_xxreal_0(A, k5_numbers) | v1_matrix_8(k3_matrix_3(B, C, D), A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t7_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v1_matrix_8(C, A, B) &  (v1_matrix_8(D, A, B) & k4_matrix_3(B, C, D)=k2_matrix_3(B, k4_matrix_3(B, D, C))) )  => v1_matrix_8(k3_matrix_3(B, C, D), A, B)) ) ) ) ) ) ) ) ) ).
fof(t8_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v1_matrix_8(C, A, B) & v1_matrix_6(D, A, B))  => v1_matrix_8(k4_matrix_3(B, k4_matrix_3(B, k1_matrix_6(A, B, D), C), D), A, B)) ) ) ) ) ) ) ) ) ).
fof(t9_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v1_matrix_6(C, A, B) & v1_matrix_8(C, A, B))  => v1_matrix_8(k1_matrix_6(A, B, C), A, B)) ) ) ) ) ) ) ).
fof(t10_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v1_matrix_6(C, A, B) & v1_matrix_8(C, A, B))  => C=k3_matrix_1(B, A)) ) ) ) ) ) ) ).
fof(t11_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v1_matrix_8(C, A, B) &  (v1_matrix_8(D, A, B) & r1_matrix_6(A, B, C, D)) )  => v1_matrix_8(k4_matrix_3(B, C, D), A, B)) ) ) ) ) ) ) ) ) ).
fof(t12_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v1_matrix_8(C, A, B) &  (v1_matrix_8(D, A, B) & r1_matrix_6(A, B, C, D)) )  => v1_matrix_8(k4_matrix_3(B, k4_matrix_0(u1_struct_0(B), C), k4_matrix_0(u1_struct_0(B), D)), A, B)) ) ) ) ) ) ) ) ) ).
fof(t13_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v1_matrix_8(C, A, B) &  (v1_matrix_8(D, A, B) & v1_matrix_6(C, A, B)) )  => v1_matrix_8(k4_matrix_3(B, C, D), A, B)) ) ) ) ) ) ) ) ) ).
fof(t14_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v1_matrix_8(C, A, B) & v4_matrix_6(C, A, B))  => v2_matrix_6(C, A, B)) ) ) ) ) ) ) ).
fof(t15_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (k4_matrix_3(B, D, C)=k3_matrix_1(B, A) => v1_matrix_8(k4_matrix_3(B, C, D), A, B)) ) ) ) ) ) ) ) ) ).
fof(t16_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v1_matrix_8(C, A, B) & v4_matrix_6(C, A, B))  => C=k3_matrix_1(B, A)) ) ) ) ) ) ) ).
fof(t17_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (v2_matrix_6(C, A, B) => v2_matrix_6(k4_matrix_3(B, C, k4_matrix_0(u1_struct_0(B), C)), A, B)) ) ) ) ) ) ) ).
fof(t18_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (v2_matrix_6(C, A, B) => v2_matrix_6(k4_matrix_3(B, k4_matrix_0(u1_struct_0(B), C), C), A, B)) ) ) ) ) ) ) ).
fof(t19_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(B), A, A) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v1_matrix_6(C, A, B) & k4_matrix_3(B, C, D)=k4_matrix_3(B, C, E))  => D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(B), A, A) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v1_matrix_6(C, A, B) & k4_matrix_3(B, D, C)=k4_matrix_3(B, E, C))  => D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v1_matrix_6(C, A, B) & k4_matrix_3(B, D, C)=k2_matrix_1(B, A))  => D=k2_matrix_1(B, A)) ) ) ) ) ) ) ) ) ).
fof(t22_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v1_matrix_6(C, A, B) & k4_matrix_3(B, D, C)=k2_matrix_1(B, A))  => D=k2_matrix_1(B, A)) ) ) ) ) ) ) ) ) ).
fof(t23_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v2_matrix_8(C, A, B) & r1_matrix_6(A, B, C, D))  =>  (r1_xxreal_0(A, k5_numbers) | v2_matrix_8(k4_matrix_3(B, C, D), A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t24_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v2_matrix_8(C, A, B) &  (v2_matrix_8(D, A, B) &  (r1_matrix_6(A, B, C, D) & k4_matrix_3(B, C, D)=k2_matrix_1(B, A)) ) )  =>  (r1_xxreal_0(A, k5_numbers) | v2_matrix_8(k3_matrix_3(B, C, D), A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t25_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v2_matrix_8(C, A, B) &  (v2_matrix_8(D, A, B) & k4_matrix_3(B, C, D)=k2_matrix_3(B, k4_matrix_3(B, D, C))) )  =>  (r1_xxreal_0(A, k5_numbers) | v2_matrix_8(k3_matrix_3(B, C, D), A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t26_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (v2_matrix_8(C, A, B) =>  (r1_xxreal_0(A, k5_numbers) | v2_matrix_8(k4_matrix_0(u1_struct_0(B), C), A, B)) ) ) ) ) ) ) ) ).
fof(t27_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v2_matrix_8(C, A, B) & v1_matrix_8(C, A, B))  => C=k2_matrix_1(B, A)) ) ) ) ) ) ) ).
fof(t28_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  & k2_matrix_1(B, A)=k3_matrix_1(B, A)) ) ) ) ) ) ).
fof(t29_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  (v2_matrix_8(C, A, B) & v1_matrix_6(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(t30_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (v4_matrix_8(C, A, B) => v3_matrix_8(C, A, B)) ) ) ) ) ) ) ).
fof(t31_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  => v4_matrix_8(k3_matrix_1(B, A), A, B)) ) ) ) ).
fof(t32_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v4_matrix_8(C, A, B) & v1_matrix_8(C, A, B))  => C=k3_matrix_1(B, A)) ) ) ) ) ) ) ).
fof(t33_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v4_matrix_8(C, A, B) & v2_matrix_6(C, A, B))  => v4_matrix_6(C, A, B)) ) ) ) ) ) ) ).
fof(d5_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (r1_matrix_8(A, B, C, D) <=>  (? [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(B), A, A) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B)))) )  &  (v1_matrix_6(E, A, B) & C=k4_matrix_3(B, k4_matrix_3(B, k1_matrix_6(A, B, E), D), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(B), A, A) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (r1_matrix_8(A, B, C, D) & r1_matrix_8(A, B, D, E))  => r1_matrix_8(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (r1_matrix_8(A, B, C, D) & v1_matrix_8(D, A, B))  => v1_matrix_8(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(t36_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (r1_matrix_8(A, B, C, D) & v2_matrix_8(D, A, B))  =>  (r1_xxreal_0(A, k5_numbers) | v2_matrix_8(C, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t37_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (r1_matrix_8(A, B, C, D) & v3_matrix_8(D, A, B))  => v3_matrix_8(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(t38_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (r1_matrix_8(A, B, C, D) =>  (r1_xxreal_0(A, k5_numbers) | r1_matrix_8(A, B, k3_matrix_3(B, C, k3_matrix_1(B, A)), k3_matrix_3(B, D, k3_matrix_1(B, A)))) ) ) ) ) ) ) ) ) ) ).
fof(t39_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (r1_matrix_8(A, B, C, D) =>  (r1_xxreal_0(A, k5_numbers) | r1_matrix_8(A, B, k3_matrix_3(B, C, C), k3_matrix_3(B, D, D))) ) ) ) ) ) ) ) ) ) ).
fof(t40_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (r1_matrix_8(A, B, C, D) =>  (r1_xxreal_0(A, k5_numbers) | r1_matrix_8(A, B, k3_matrix_3(B, k3_matrix_3(B, C, C), C), k3_matrix_3(B, k3_matrix_3(B, D, D), D))) ) ) ) ) ) ) ) ) ) ).
fof(t41_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (v1_matrix_6(C, A, B) => r1_matrix_8(A, B, k4_matrix_3(B, D, C), k4_matrix_3(B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t42_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v1_matrix_6(D, A, B) & r1_matrix_8(A, B, C, D))  => v1_matrix_6(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(t43_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v1_matrix_6(D, A, B) & r1_matrix_8(A, B, C, D))  => r1_matrix_8(A, B, k1_matrix_6(A, B, C), k1_matrix_6(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(d6_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (r2_matrix_8(A, B, C, D) <=>  (? [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(B), A, A) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B)))) )  &  (v1_matrix_6(E, A, B) & C=k4_matrix_3(B, k4_matrix_3(B, k4_matrix_0(u1_struct_0(B), E), D), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (r2_matrix_8(A, B, C, D) =>  (r1_xxreal_0(A, k5_numbers) | r2_matrix_8(A, B, D, C)) ) ) ) ) ) ) ) ) ) ).
fof(t45_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(B), A, A) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (r2_matrix_8(A, B, C, D) & r2_matrix_8(A, B, D, E))  =>  (r1_xxreal_0(A, k5_numbers) | r2_matrix_8(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (r2_matrix_8(A, B, C, D) =>  (r1_xxreal_0(A, k5_numbers) | r2_matrix_8(A, B, k3_matrix_3(B, C, C), k3_matrix_3(B, D, D))) ) ) ) ) ) ) ) ) ) ).
fof(t47_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (r2_matrix_8(A, B, C, D) =>  (r1_xxreal_0(A, k5_numbers) | r2_matrix_8(A, B, k3_matrix_3(B, k3_matrix_3(B, C, C), C), k3_matrix_3(B, k3_matrix_3(B, D, D), D))) ) ) ) ) ) ) ) ) ) ).
fof(t48_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (v4_matrix_6(C, A, B) => r2_matrix_8(A, B, k4_matrix_3(B, D, C), k4_matrix_3(B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t49_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (v1_matrix_6(D, A, B) & r2_matrix_8(A, B, C, D))  =>  (r1_xxreal_0(A, k5_numbers) | v1_matrix_6(C, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t50_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (r2_matrix_8(A, B, C, D) =>  (r1_xxreal_0(A, k5_numbers) | r2_matrix_8(A, B, k4_matrix_0(u1_struct_0(B), C), k4_matrix_0(u1_struct_0(B), D))) ) ) ) ) ) ) ) ) ) ).
fof(t51_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (v4_matrix_6(D, A, B) => r1_matrix_8(A, B, k4_matrix_3(B, k4_matrix_3(B, k4_matrix_0(u1_struct_0(B), D), C), D), C)) ) ) ) ) ) ) ) ) ).
fof(d7_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  => k1_matrix_8(A, B, C)=k4_rlvect_1(B, k13_matrix_3(A, B, C))) ) ) ) ) ) ).
fof(t52_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  => k1_matrix_8(A, B, C)=k1_matrix_8(A, B, k4_matrix_0(u1_struct_0(B), C))) ) ) ) ) ) ).
fof(t53_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  => k1_matrix_8(A, B, k3_matrix_3(B, C, D))=k3_rlvect_1(B, k1_matrix_8(A, B, C), k1_matrix_8(A, B, D))) ) ) ) ) ) ) ) ).
fof(t54_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(B), A, A) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B)))) )  => k1_matrix_8(A, B, k3_matrix_3(B, k3_matrix_3(B, C, D), E))=k3_rlvect_1(B, k3_rlvect_1(B, k1_matrix_8(A, B, C), k1_matrix_8(A, B, D)), k1_matrix_8(A, B, E))) ) ) ) ) ) ) ) ) ) ).
fof(t55_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  => k1_matrix_8(A, B, k2_matrix_1(B, A))=k4_struct_0(B)) ) ) ) ).
fof(t56_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  => k1_matrix_8(A, B, k2_matrix_3(B, C))=k4_algstr_0(B, k1_matrix_8(A, B, C))) ) ) ) ) ) ).
fof(t57_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  => k4_algstr_0(B, k1_matrix_8(A, B, k2_matrix_3(B, C)))=k1_matrix_8(A, B, C)) ) ) ) ) ) ).
fof(t58_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  => k1_matrix_8(A, B, k3_matrix_3(B, C, k2_matrix_3(B, C)))=k4_struct_0(B)) ) ) ) ) ) ).
fof(t59_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  => k1_matrix_8(A, B, k1_matrix_4(B, C, D))=k5_algstr_0(B, k1_matrix_8(A, B, C), k1_matrix_8(A, B, D))) ) ) ) ) ) ) ) ).
fof(t60_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(B), A, A) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B)))) )  => k1_matrix_8(A, B, k3_matrix_3(B, k1_matrix_4(B, C, D), E))=k3_rlvect_1(B, k5_algstr_0(B, k1_matrix_8(A, B, C), k1_matrix_8(A, B, D)), k1_matrix_8(A, B, E))) ) ) ) ) ) ) ) ) ) ).
fof(t61_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(B), A, A) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B)))) )  => k1_matrix_8(A, B, k1_matrix_4(B, k3_matrix_3(B, C, D), E))=k5_algstr_0(B, k3_rlvect_1(B, k1_matrix_8(A, B, C), k1_matrix_8(A, B, D)), k1_matrix_8(A, B, E))) ) ) ) ) ) ) ) ) ) ).
fof(t62_matrix_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(B), A, A) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B)))) )  => k1_matrix_8(A, B, k1_matrix_4(B, k1_matrix_4(B, C, D), E))=k5_algstr_0(B, k5_algstr_0(B, k1_matrix_8(A, B, C), k1_matrix_8(A, B, D)), k1_matrix_8(A, B, E))) ) ) ) ) ) ) ) ) ) ).
fof(symmetry_r1_matrix_8, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  &  (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m1_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) ) ) ) )  =>  (r1_matrix_8(A, B, C, D) => r1_matrix_8(A, B, D, C)) ) ) ).
fof(reflexivity_r1_matrix_8, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  &  (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m1_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) ) ) ) )  => r1_matrix_8(A, B, C, C)) ) ).
fof(reflexivity_r2_matrix_8, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  &  (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m1_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) ) ) ) )  => r2_matrix_8(A, B, C, C)) ) ).
fof(dt_k1_matrix_8, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) ) ) )  => m1_subset_1(k1_matrix_8(A, B, C), u1_struct_0(B))) ) ).
fof(rc1_matrix_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (m1_subset_1(B, k5_finsub_1(k9_matrix_1(A))) &  ( ~ (v1_xboole_0(B))  & v1_finset_1(B)) ) ) ) ) ).
fof(rc2_matrix_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k2_finseq_1(A)) &  (v5_relat_1(B, k2_finseq_1(A)) &  (v1_funct_1(B) &  (v2_funct_1(B) &  (v1_partfun1(B, k2_finseq_1(A)) &  (v1_funct_2(B, k2_finseq_1(A), k2_finseq_1(A)) &  (v1_finset_1(B) & v1_finseq_1(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_matrix_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_relat_1(k4_relat_1(k2_finseq_1(A))) & v1_finseq_1(k4_relat_1(k2_finseq_1(A)))) ) ) ).
fof(rc3_matrix_9, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(2), k2_finseq_1(2)))) &  (v1_relat_1(A) &  (v4_relat_1(A, k2_finseq_1(2)) &  (v5_relat_1(A, k2_finseq_1(2)) &  (v1_funct_1(A) &  (v2_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_partfun1(A, k2_finseq_1(2)) &  (v1_funct_2(A, k2_finseq_1(2), k2_finseq_1(2)) &  (v2_funct_2(A, k2_finseq_1(2)) &  (v3_funct_2(A, k2_finseq_1(2), k2_finseq_1(2)) &  (v1_finset_1(A) &  ~ (v6_matrix_1(A, 2)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc4_matrix_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k2_finseq_1(A)) &  (v5_relat_1(B, k2_finseq_1(A)) &  (v1_funct_1(B) &  (v2_funct_1(B) &  (v1_partfun1(B, k2_finseq_1(A)) &  (v1_funct_2(B, k2_finseq_1(A), k2_finseq_1(A)) &  (v2_funct_2(B, k2_finseq_1(A)) &  (v3_funct_2(B, k2_finseq_1(A), k2_finseq_1(A)) &  (v1_finset_1(B) & v6_matrix_1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc5_matrix_9, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(3), k2_finseq_1(3)))) &  (v1_relat_1(A) &  (v4_relat_1(A, k2_finseq_1(3)) &  (v5_relat_1(A, k2_finseq_1(3)) &  (v1_funct_1(A) &  (v2_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_partfun1(A, k2_finseq_1(3)) &  (v1_funct_2(A, k2_finseq_1(3), k2_finseq_1(3)) &  (v2_funct_2(A, k2_finseq_1(3)) &  (v3_funct_2(A, k2_finseq_1(3), k2_finseq_1(3)) &  (v1_finset_1(A) &  ~ (v6_matrix_1(A, 3)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_matrix_9, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => r2_tarski(k1_tarski(A), k5_finsub_1(B))) ) ) ).
fof(t2_matrix_9, axiom,  (k1_funct_1(k3_finseq_5(k1_finseq_2(2)), 1)=2 & k1_funct_1(k3_finseq_5(k1_finseq_2(2)), 2)=1) ).
fof(t3_matrix_9, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) )  =>  ~ ( (k9_xtuple_0(A)=k2_finseq_1(2) &  (k10_xtuple_0(A)=k2_finseq_1(2) &  ( ~ (A=k6_partfun1(k2_finseq_1(2)))  &  ~ (A=k3_finseq_5(k6_partfun1(k2_finseq_1(2)))) ) ) ) ) ) ) ).
fof(t4_matrix_9, axiom,  (! [A] :  (v7_ordinal1(A) => r2_tarski(k3_finseq_5(k1_finseq_2(A)), k9_matrix_1(A))) ) ).
fof(t5_matrix_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r2_tarski(B, k9_matrix_1(A)) =>  (A=k5_numbers | r2_tarski(k3_finseq_5(B), k9_matrix_1(A))) ) ) ) ) ) ).
fof(t6_matrix_9, axiom, k9_matrix_1(2)=k2_tarski(k1_finseq_2(2), k3_finseq_5(k1_finseq_2(2)))).
fof(d1_matrix_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k9_matrix_1(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k9_matrix_1(A), u1_struct_0(B))))) )  =>  (D=k1_matrix_9(A, B, C) <=>  (! [E] :  (m1_matrix_1(E, k9_matrix_1(A)) => k3_funct_2(k9_matrix_1(A), u1_struct_0(B), D, E)=k1_finsop_1(u1_struct_0(B), k10_matrix_3(A, B, C, E), u2_algstr_0(B))) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_matrix_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  => k2_matrix_9(A, B, C)=k7_setwiseo(k9_matrix_1(A), u1_struct_0(B), u1_algstr_0(B), k10_subset_1(k9_matrix_1(A), k5_finsub_1(k9_matrix_1(A))), k1_matrix_9(A, B, C))) ) ) ) ) ) ).
fof(t7_matrix_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_matrix_9(1, A, k14_matrix_0(u1_struct_0(A), 1, k13_matrix_0(u1_struct_0(A), B)))=B) ) ) ) ).
fof(t8_matrix_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (r1_xxreal_0(1, B) => k2_matrix_9(B, A, k1_matrix_3(A, B, B))=k4_struct_0(A)) ) ) ) ) ).
fof(t9_matrix_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_matrix_1(F, k9_matrix_1(2)) =>  (F=k1_finseq_2(2) => k10_matrix_3(2, A, k15_matrix_0(u1_struct_0(A), B, C, D, E), F)=k2_finseq_4(u1_struct_0(A), B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_matrix_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_matrix_1(F, k9_matrix_1(2)) =>  (F=k3_finseq_5(k1_finseq_2(2)) => k10_matrix_3(2, A, k15_matrix_0(u1_struct_0(A), B, C, D, E), F)=k2_finseq_4(u1_struct_0(A), C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_matrix_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_finsop_1(u1_struct_0(A), k2_finseq_4(u1_struct_0(A), B, C), u2_algstr_0(A))=k8_group_1(A, B, C)) ) ) ) ) ) ).
fof(t12_matrix_9, axiom,  (v1_funct_1(k2_finseq_4(k4_ordinal1, 2, 1)) &  (v1_funct_2(k2_finseq_4(k4_ordinal1, 2, 1), k2_finseq_1(2), k2_finseq_1(2)) &  (v3_funct_2(k2_finseq_4(k4_ordinal1, 2, 1), k2_finseq_1(2), k2_finseq_1(2)) &  ( ~ (v6_matrix_1(k2_finseq_4(k4_ordinal1, 2, 1), 2))  & m1_subset_1(k2_finseq_4(k4_ordinal1, 2, 1), k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(2), k2_finseq_1(2))))) ) ) ) ).
fof(t13_matrix_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k12_matrix_3(2, A, k15_matrix_0(u1_struct_0(A), B, C, D, E))=k5_algstr_0(A, k8_group_1(A, B, E), k8_group_1(A, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t14_matrix_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k2_matrix_9(2, A, k15_matrix_0(u1_struct_0(A), B, C, D, E))=k1_algstr_0(A, k8_group_1(A, B, E), k8_group_1(A, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t15_matrix_9, axiom, k3_finseq_5(k1_finseq_2(3))=k3_finseq_4(k4_ordinal1, 3, 2, 1)).
fof(t16_matrix_9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m2_finseq_1(E, A) =>  (E=k3_finseq_4(A, B, C, D) => k4_finseq_5(A, E)=k3_finseq_4(A, D, C, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_matrix_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r2_tarski(k7_finseq_1(B, C), k9_matrix_1(A)) => r2_tarski(k7_finseq_1(B, k3_finseq_5(C)), k9_matrix_1(A))) ) ) ) ) ) ) ).
fof(t18_matrix_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r2_tarski(k7_finseq_1(B, C), k9_matrix_1(A)) => r2_tarski(k7_finseq_1(C, B), k9_matrix_1(A))) ) ) ) ) ) ) ).
fof(t19_matrix_9, axiom, k9_matrix_1(3)=k4_enumset1(k3_finseq_4(k4_ordinal1, 1, 2, 3), k3_finseq_4(k4_ordinal1, 3, 2, 1), k3_finseq_4(k4_ordinal1, 1, 3, 2), k3_finseq_4(k4_ordinal1, 2, 3, 1), k3_finseq_4(k4_ordinal1, 2, 1, 3), k3_finseq_4(k4_ordinal1, 3, 1, 2))).
fof(t20_matrix_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  ( (v1_matrix_0(K) &  (v2_matrix_0(K, u1_struct_0(A), 3, 3) & m2_finseq_1(K, k3_finseq_2(u1_struct_0(A)))) )  =>  (K=k3_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))), k3_finseq_4(u1_struct_0(A), B, C, D), k3_finseq_4(u1_struct_0(A), E, F, G), k3_finseq_4(u1_struct_0(A), H, I, J)) =>  (! [L] :  (m1_matrix_1(L, k9_matrix_1(3)) =>  (L=k3_finseq_4(k4_ordinal1, 1, 2, 3) => k10_matrix_3(3, A, K, L)=k3_finseq_4(u1_struct_0(A), B, F, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_matrix_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  ( (v1_matrix_0(K) &  (v2_matrix_0(K, u1_struct_0(A), 3, 3) & m2_finseq_1(K, k3_finseq_2(u1_struct_0(A)))) )  =>  (K=k3_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))), k3_finseq_4(u1_struct_0(A), B, C, D), k3_finseq_4(u1_struct_0(A), E, F, G), k3_finseq_4(u1_struct_0(A), H, I, J)) =>  (! [L] :  (m1_matrix_1(L, k9_matrix_1(3)) =>  (L=k3_finseq_4(k4_ordinal1, 3, 2, 1) => k10_matrix_3(3, A, K, L)=k3_finseq_4(u1_struct_0(A), D, F, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_matrix_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  ( (v1_matrix_0(K) &  (v2_matrix_0(K, u1_struct_0(A), 3, 3) & m2_finseq_1(K, k3_finseq_2(u1_struct_0(A)))) )  =>  (K=k3_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))), k3_finseq_4(u1_struct_0(A), B, C, D), k3_finseq_4(u1_struct_0(A), E, F, G), k3_finseq_4(u1_struct_0(A), H, I, J)) =>  (! [L] :  (m1_matrix_1(L, k9_matrix_1(3)) =>  (L=k3_finseq_4(k4_ordinal1, 1, 3, 2) => k10_matrix_3(3, A, K, L)=k3_finseq_4(u1_struct_0(A), B, G, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_matrix_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  ( (v1_matrix_0(K) &  (v2_matrix_0(K, u1_struct_0(A), 3, 3) & m2_finseq_1(K, k3_finseq_2(u1_struct_0(A)))) )  =>  (K=k3_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))), k3_finseq_4(u1_struct_0(A), B, C, D), k3_finseq_4(u1_struct_0(A), E, F, G), k3_finseq_4(u1_struct_0(A), H, I, J)) =>  (! [L] :  (m1_matrix_1(L, k9_matrix_1(3)) =>  (L=k3_finseq_4(k4_ordinal1, 2, 3, 1) => k10_matrix_3(3, A, K, L)=k3_finseq_4(u1_struct_0(A), C, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_matrix_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  ( (v1_matrix_0(K) &  (v2_matrix_0(K, u1_struct_0(A), 3, 3) & m2_finseq_1(K, k3_finseq_2(u1_struct_0(A)))) )  =>  (K=k3_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))), k3_finseq_4(u1_struct_0(A), B, C, D), k3_finseq_4(u1_struct_0(A), E, F, G), k3_finseq_4(u1_struct_0(A), H, I, J)) =>  (! [L] :  (m1_matrix_1(L, k9_matrix_1(3)) =>  (L=k3_finseq_4(k4_ordinal1, 2, 1, 3) => k10_matrix_3(3, A, K, L)=k3_finseq_4(u1_struct_0(A), C, E, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_matrix_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  ( (v1_matrix_0(K) &  (v2_matrix_0(K, u1_struct_0(A), 3, 3) & m2_finseq_1(K, k3_finseq_2(u1_struct_0(A)))) )  =>  (K=k3_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))), k3_finseq_4(u1_struct_0(A), B, C, D), k3_finseq_4(u1_struct_0(A), E, F, G), k3_finseq_4(u1_struct_0(A), H, I, J)) =>  (! [L] :  (m1_matrix_1(L, k9_matrix_1(3)) =>  (L=k3_finseq_4(k4_ordinal1, 3, 1, 2) => k10_matrix_3(3, A, K, L)=k3_finseq_4(u1_struct_0(A), D, E, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_matrix_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_finsop_1(u1_struct_0(A), k3_finseq_4(u1_struct_0(A), B, C, D), u2_algstr_0(A))=k8_group_1(A, k8_group_1(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t27_matrix_9, axiom,  (r2_tarski(k3_finseq_4(k4_ordinal1, 1, 3, 2), k9_matrix_1(3)) &  (r2_tarski(k3_finseq_4(k4_ordinal1, 2, 3, 1), k9_matrix_1(3)) &  (r2_tarski(k3_finseq_4(k4_ordinal1, 2, 1, 3), k9_matrix_1(3)) &  (r2_tarski(k3_finseq_4(k4_ordinal1, 3, 1, 2), k9_matrix_1(3)) &  (r2_tarski(k3_finseq_4(k4_ordinal1, 1, 2, 3), k9_matrix_1(3)) & r2_tarski(k3_finseq_4(k4_ordinal1, 3, 2, 1), k9_matrix_1(3))) ) ) ) ) ).
fof(t28_matrix_9, axiom, k2_funct_1(k3_finseq_4(k4_ordinal1, 2, 3, 1))=k3_finseq_4(k4_ordinal1, 3, 1, 2)).
fof(t29_matrix_9, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k10_matrix_1(3))) =>  (A=k3_finseq_4(k4_ordinal1, 2, 3, 1) => k2_group_1(k10_matrix_1(3), A)=k3_finseq_4(k4_ordinal1, 3, 1, 2)) ) ) ).
fof(t30_matrix_9, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_finseq_1(3), k2_finseq_1(3)) &  (v3_funct_2(A, k2_finseq_1(3), k2_finseq_1(3)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(3), k2_finseq_1(3))))) ) )  =>  (A=k3_finseq_4(k4_ordinal1, 1, 3, 2) => v5_matrix_1(A, 3)) ) ) ).
fof(t31_matrix_9, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_finseq_1(3), k2_finseq_1(3)) &  (v3_funct_2(A, k2_finseq_1(3), k2_finseq_1(3)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(3), k2_finseq_1(3))))) ) )  =>  (A=k3_finseq_4(k4_ordinal1, 2, 1, 3) => v5_matrix_1(A, 3)) ) ) ).
fof(t32_matrix_9, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_finseq_1(3), k2_finseq_1(3)) &  (v3_funct_2(A, k2_finseq_1(3), k2_finseq_1(3)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(3), k2_finseq_1(3))))) ) )  =>  (A=k3_finseq_4(k4_ordinal1, 3, 2, 1) => v5_matrix_1(A, 3)) ) ) ).
fof(t33_matrix_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_finseq_1(A), k2_finseq_1(A)) &  (v3_funct_2(B, k2_finseq_1(A), k2_finseq_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(A))))) ) )  =>  ~ ( (r2_funct_2(k2_finseq_1(A), k2_finseq_1(A), B, k6_partfun1(k2_finseq_1(A))) & v5_matrix_1(B, A)) ) ) ) ) ) ).
fof(t34_matrix_9, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_finseq_1(3), k2_finseq_1(3)) &  (v3_funct_2(A, k2_finseq_1(3), k2_finseq_1(3)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(3), k2_finseq_1(3))))) ) )  =>  ~ ( (A=k3_finseq_4(k4_ordinal1, 3, 1, 2) & v5_matrix_1(A, 3)) ) ) ) ).
fof(t35_matrix_9, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_finseq_1(3), k2_finseq_1(3)) &  (v3_funct_2(A, k2_finseq_1(3), k2_finseq_1(3)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(3), k2_finseq_1(3))))) ) )  =>  ~ ( (A=k3_finseq_4(k4_ordinal1, 2, 3, 1) & v5_matrix_1(A, 3)) ) ) ) ).
fof(t36_matrix_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_finseq_1(A), k2_finseq_1(A)) &  (v3_funct_2(B, k2_finseq_1(A), k2_finseq_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(A))))) ) )  => m2_finseq_1(B, k2_finseq_1(A))) ) ) ) ).
fof(t37_matrix_9, axiom,  (k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k4_ordinal1, k3_finseq_4(k4_ordinal1, 1, 3, 2), k3_finseq_4(k4_ordinal1, 2, 1, 3))=k3_finseq_4(k4_ordinal1, 2, 3, 1) &  (k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k4_ordinal1, k3_finseq_4(k4_ordinal1, 2, 1, 3), k3_finseq_4(k4_ordinal1, 1, 3, 2))=k3_finseq_4(k4_ordinal1, 3, 1, 2) &  (k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k4_ordinal1, k3_finseq_4(k4_ordinal1, 3, 2, 1), k3_finseq_4(k4_ordinal1, 2, 1, 3))=k3_finseq_4(k4_ordinal1, 3, 1, 2) &  (k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k4_ordinal1, k3_finseq_4(k4_ordinal1, 2, 1, 3), k3_finseq_4(k4_ordinal1, 3, 2, 1))=k3_finseq_4(k4_ordinal1, 2, 3, 1) &  (k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k4_ordinal1, k3_finseq_4(k4_ordinal1, 3, 2, 1), k3_finseq_4(k4_ordinal1, 3, 2, 1))=k3_finseq_4(k4_ordinal1, 1, 2, 3) &  (k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k4_ordinal1, k3_finseq_4(k4_ordinal1, 2, 1, 3), k3_finseq_4(k4_ordinal1, 2, 1, 3))=k3_finseq_4(k4_ordinal1, 1, 2, 3) &  (k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k4_ordinal1, k3_finseq_4(k4_ordinal1, 1, 3, 2), k3_finseq_4(k4_ordinal1, 1, 3, 2))=k3_finseq_4(k4_ordinal1, 1, 2, 3) &  (k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k4_ordinal1, k3_finseq_4(k4_ordinal1, 2, 3, 1), k3_finseq_4(k4_ordinal1, 1, 3, 2))=k3_finseq_4(k4_ordinal1, 3, 2, 1) &  (k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k4_ordinal1, k3_finseq_4(k4_ordinal1, 2, 3, 1), k3_finseq_4(k4_ordinal1, 2, 3, 1))=k3_finseq_4(k4_ordinal1, 3, 1, 2) &  (k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k4_ordinal1, k3_finseq_4(k4_ordinal1, 3, 1, 2), k3_finseq_4(k4_ordinal1, 2, 3, 1))=k3_finseq_4(k4_ordinal1, 1, 2, 3) &  (k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k4_ordinal1, k3_finseq_4(k4_ordinal1, 2, 3, 1), k3_finseq_4(k4_ordinal1, 3, 1, 2))=k3_finseq_4(k4_ordinal1, 1, 2, 3) &  (k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k4_ordinal1, k3_finseq_4(k4_ordinal1, 3, 1, 2), k3_finseq_4(k4_ordinal1, 3, 1, 2))=k3_finseq_4(k4_ordinal1, 2, 3, 1) &  (k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k4_ordinal1, k3_finseq_4(k4_ordinal1, 3, 2, 1), k3_finseq_4(k4_ordinal1, 1, 3, 2))=k3_finseq_4(k4_ordinal1, 2, 3, 1) & k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k4_ordinal1, k3_finseq_4(k4_ordinal1, 1, 3, 2), k3_finseq_4(k4_ordinal1, 3, 2, 1))=k3_finseq_4(k4_ordinal1, 3, 1, 2)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_matrix_9, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_finseq_1(3), k2_finseq_1(3)) &  (v3_funct_2(A, k2_finseq_1(3), k2_finseq_1(3)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(3), k2_finseq_1(3))))) ) )  =>  ~ ( (v5_matrix_1(A, 3) &  ( ~ (A=k3_finseq_4(k4_ordinal1, 2, 1, 3))  &  ( ~ (A=k3_finseq_4(k4_ordinal1, 1, 3, 2))  &  ~ (A=k3_finseq_4(k4_ordinal1, 3, 2, 1)) ) ) ) ) ) ) ).
fof(t39_matrix_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_matrix_1(B, k9_matrix_1(A)) =>  (! [C] :  (m1_matrix_1(C, k9_matrix_1(A)) => r2_tarski(k1_partfun1(k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), k2_finseq_1(k8_matrix_1(k9_matrix_1(A))), C, B), k9_matrix_1(A))) ) ) ) ) ) ).
fof(t40_matrix_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k10_matrix_1(A))) =>  ( (k4_nat_d(k3_finseq_1(B), 2)=k5_numbers &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ ( (r2_tarski(C, k4_finseq_1(B)) &  (! [D] :  (m1_matrix_1(D, k9_matrix_1(A)) =>  ~ ( (k1_funct_1(B, C)=D & v5_matrix_1(D, k8_matrix_1(k9_matrix_1(A)))) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k3_group_4(k10_matrix_1(A), B)) &  (v1_funct_2(k3_group_4(k10_matrix_1(A), B), k2_finseq_1(A), k2_finseq_1(A)) &  (v3_funct_2(k3_group_4(k10_matrix_1(A), B), k2_finseq_1(A), k2_finseq_1(A)) &  (v6_matrix_1(k3_group_4(k10_matrix_1(A), B), A) & m1_subset_1(k3_group_4(k10_matrix_1(A), B), k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(A))))) ) ) ) ) ) ) ) ) ).
fof(t41_matrix_9, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k10_matrix_1(3))) =>  ~ ( (k4_nat_d(k3_finseq_1(A), 2)=k5_numbers &  ( (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ~ ( (r2_tarski(B, k4_finseq_1(A)) &  (! [C] :  (m1_matrix_1(C, k9_matrix_1(3)) =>  ~ ( (k1_funct_1(A, B)=C & v5_matrix_1(C, k8_matrix_1(k9_matrix_1(3)))) ) ) ) ) ) ) )  &  ( ~ (k3_group_4(k10_matrix_1(3), A)=k3_finseq_4(k4_ordinal1, 1, 2, 3))  &  ( ~ (k3_group_4(k10_matrix_1(3), A)=k3_finseq_4(k4_ordinal1, 2, 3, 1))  &  ~ (k3_group_4(k10_matrix_1(3), A)=k3_finseq_4(k4_ordinal1, 3, 1, 2)) ) ) ) ) ) ) ) ).
fof(t42_matrix_9, axiom,  (v1_funct_1(k3_finseq_4(k4_ordinal1, 3, 2, 1)) &  (v1_funct_2(k3_finseq_4(k4_ordinal1, 3, 2, 1), k2_finseq_1(3), k2_finseq_1(3)) &  (v3_funct_2(k3_finseq_4(k4_ordinal1, 3, 2, 1), k2_finseq_1(3), k2_finseq_1(3)) &  ( ~ (v6_matrix_1(k3_finseq_4(k4_ordinal1, 3, 2, 1), 3))  & m1_subset_1(k3_finseq_4(k4_ordinal1, 3, 2, 1), k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(3), k2_finseq_1(3))))) ) ) ) ).
fof(t43_matrix_9, axiom,  (v1_funct_1(k3_finseq_4(k4_ordinal1, 2, 1, 3)) &  (v1_funct_2(k3_finseq_4(k4_ordinal1, 2, 1, 3), k2_finseq_1(3), k2_finseq_1(3)) &  (v3_funct_2(k3_finseq_4(k4_ordinal1, 2, 1, 3), k2_finseq_1(3), k2_finseq_1(3)) &  ( ~ (v6_matrix_1(k3_finseq_4(k4_ordinal1, 2, 1, 3), 3))  & m1_subset_1(k3_finseq_4(k4_ordinal1, 2, 1, 3), k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(3), k2_finseq_1(3))))) ) ) ) ).
fof(t44_matrix_9, axiom,  (v1_funct_1(k3_finseq_4(k4_ordinal1, 1, 3, 2)) &  (v1_funct_2(k3_finseq_4(k4_ordinal1, 1, 3, 2), k2_finseq_1(3), k2_finseq_1(3)) &  (v3_funct_2(k3_finseq_4(k4_ordinal1, 1, 3, 2), k2_finseq_1(3), k2_finseq_1(3)) &  ( ~ (v6_matrix_1(k3_finseq_4(k4_ordinal1, 1, 3, 2), 3))  & m1_subset_1(k3_finseq_4(k4_ordinal1, 1, 3, 2), k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(3), k2_finseq_1(3))))) ) ) ) ).
fof(t45_matrix_9, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_finseq_1(3), k2_finseq_1(3)) &  (v3_funct_2(A, k2_finseq_1(3), k2_finseq_1(3)) &  ( ~ (v6_matrix_1(A, 3))  & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(3), k2_finseq_1(3))))) ) ) )  =>  ~ ( ( ~ (A=k3_finseq_4(k4_ordinal1, 3, 2, 1))  &  ( ~ (A=k3_finseq_4(k4_ordinal1, 1, 3, 2))  &  ~ (A=k3_finseq_4(k4_ordinal1, 2, 1, 3)) ) ) ) ) ) ).
fof(t46_matrix_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  ( (v1_matrix_0(K) &  (v2_matrix_0(K, u1_struct_0(A), 3, 3) & m2_finseq_1(K, k3_finseq_2(u1_struct_0(A)))) )  =>  (K=k3_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))), k3_finseq_4(u1_struct_0(A), B, C, D), k3_finseq_4(u1_struct_0(A), E, F, G), k3_finseq_4(u1_struct_0(A), H, I, J)) => k12_matrix_3(3, A, K)=k1_algstr_0(A, k5_algstr_0(A, k1_algstr_0(A, k5_algstr_0(A, k5_algstr_0(A, k8_group_1(A, k8_group_1(A, B, F), J), k8_group_1(A, k8_group_1(A, D, F), H)), k8_group_1(A, k8_group_1(A, B, G), I)), k8_group_1(A, k8_group_1(A, C, G), H)), k8_group_1(A, k8_group_1(A, C, E), J)), k8_group_1(A, k8_group_1(A, D, E), I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_matrix_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  ( (v1_matrix_0(K) &  (v2_matrix_0(K, u1_struct_0(A), 3, 3) & m2_finseq_1(K, k3_finseq_2(u1_struct_0(A)))) )  =>  (K=k3_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))), k3_finseq_4(u1_struct_0(A), B, C, D), k3_finseq_4(u1_struct_0(A), E, F, G), k3_finseq_4(u1_struct_0(A), H, I, J)) => k2_matrix_9(3, A, K)=k1_algstr_0(A, k1_algstr_0(A, k1_algstr_0(A, k1_algstr_0(A, k1_algstr_0(A, k8_group_1(A, k8_group_1(A, B, F), J), k8_group_1(A, k8_group_1(A, D, F), H)), k8_group_1(A, k8_group_1(A, B, G), I)), k8_group_1(A, k8_group_1(A, C, G), H)), k8_group_1(A, k8_group_1(A, C, E), J)), k8_group_1(A, k8_group_1(A, D, E), I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_matrix_9, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_matrix_1(C, k9_matrix_1(B)) =>  ~ ( (r2_tarski(A, k2_finseq_1(B)) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ~ ( (r2_tarski(D, k2_finseq_1(B)) & A=k1_funct_1(C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_matrix_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (? [D] :  (m1_subset_1(D, k4_ordinal1) &  (r2_tarski(D, k2_finseq_1(A)) &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r2_tarski(E, k2_finseq_1(A)) => k1_funct_1(k8_matrix_0(u1_struct_0(B), C, D), E)=k4_struct_0(B)) ) ) ) ) )  =>  (! [D] :  (m1_matrix_1(D, k9_matrix_1(A)) =>  (? [E] :  (m1_subset_1(E, k4_ordinal1) &  (r2_tarski(E, k2_finseq_1(A)) & k1_funct_1(k10_matrix_3(A, B, C, D), E)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_matrix_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_matrix_1(C, k9_matrix_1(A)) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (? [E] :  (m1_subset_1(E, k4_ordinal1) &  (r2_tarski(E, k2_finseq_1(A)) &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r2_tarski(F, k2_finseq_1(A)) => k1_funct_1(k8_matrix_0(u1_struct_0(B), D, E), F)=k4_struct_0(B)) ) ) ) ) )  => k3_funct_2(k9_matrix_1(A), u1_struct_0(B), k11_matrix_3(A, B, D), C)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ).
fof(t51_matrix_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (? [D] :  (m1_subset_1(D, k4_ordinal1) &  (r2_tarski(D, k2_finseq_1(A)) &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r2_tarski(E, k2_finseq_1(A)) => k1_funct_1(k8_matrix_0(u1_struct_0(B), C, D), E)=k4_struct_0(B)) ) ) ) ) )  => k7_setwiseo(k9_matrix_1(A), u1_struct_0(B), u1_algstr_0(B), k10_subset_1(k9_matrix_1(A), k5_finsub_1(k9_matrix_1(A))), k11_matrix_3(A, B, C))=k4_struct_0(B)) ) ) ) ) ) ) ).
fof(t52_matrix_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_matrix_1(C, k9_matrix_1(A)) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (? [E] :  (m1_subset_1(E, k4_ordinal1) &  (r2_tarski(E, k2_finseq_1(A)) &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r2_tarski(F, k2_finseq_1(A)) => k1_funct_1(k8_matrix_0(u1_struct_0(B), D, E), F)=k4_struct_0(B)) ) ) ) ) )  => k3_funct_2(k9_matrix_1(A), u1_struct_0(B), k1_matrix_9(A, B, D), C)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ).
fof(t53_matrix_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (? [D] :  (m1_subset_1(D, k4_ordinal1) &  (r2_tarski(D, k2_finseq_1(A)) &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r2_tarski(E, k2_finseq_1(A)) => k1_funct_1(k8_matrix_0(u1_struct_0(B), C, D), E)=k4_struct_0(B)) ) ) ) ) )  => k12_matrix_3(A, B, C)=k4_struct_0(B)) ) ) ) ) ) ) ).
fof(t54_matrix_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (? [D] :  (m1_subset_1(D, k4_ordinal1) &  (r2_tarski(D, k2_finseq_1(A)) &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r2_tarski(E, k2_finseq_1(A)) => k1_funct_1(k8_matrix_0(u1_struct_0(B), C, D), E)=k4_struct_0(B)) ) ) ) ) )  => k2_matrix_9(A, B, C)=k4_struct_0(B)) ) ) ) ) ) ) ).
fof(t55_matrix_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), B, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(C), B, B) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(C)))) )  =>  (r2_tarski(A, k2_finseq_1(B)) =>  (! [F] :  (m1_matrix_1(F, k9_matrix_1(B)) =>  (? [G] :  (m1_subset_1(G, k4_ordinal1) &  (r2_tarski(G, k2_finseq_1(B)) &  (A=k1_funct_1(F, G) & k7_partfun1(u1_struct_0(C), k8_matrix_0(u1_struct_0(C), E, A), G)=k7_partfun1(u1_struct_0(C), k10_matrix_3(B, C, E, F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_matrix_9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(B), A, A) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (? [F] :  (m1_subset_1(F, k4_ordinal1) &  (r2_tarski(F, k2_finseq_1(A)) &  ( (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  (r2_tarski(G, k2_finseq_1(A)) => k1_funct_1(k8_matrix_0(u1_struct_0(B), D, F), G)=k8_group_1(B, C, k7_partfun1(u1_struct_0(B), k8_matrix_0(u1_struct_0(B), E, F), G))) ) )  &  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  (r2_tarski(G, k2_finseq_1(A)) =>  (G=F | k8_matrix_0(u1_struct_0(B), D, G)=k8_matrix_0(u1_struct_0(B), E, G)) ) ) ) ) ) ) )  =>  (! [F] :  (m1_matrix_1(F, k9_matrix_1(A)) =>  (? [G] :  (m1_subset_1(G, k4_ordinal1) &  (r2_tarski(G, k2_finseq_1(A)) & k7_partfun1(u1_struct_0(B), k10_matrix_3(A, B, D, F), G)=k8_group_1(B, C, k7_partfun1(u1_struct_0(B), k10_matrix_3(A, B, E, F), G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_matrix_9, axiom,  ( ( (! [A] :  (m1_matrix_1(A, k9_matrix_1(f1_s1_matrix_9)) =>  (r2_tarski(A, f2_s1_matrix_9) => p1_s1_matrix_9(k1_tarski(A))) ) )  &  (! [A] :  (m1_matrix_1(A, k9_matrix_1(f1_s1_matrix_9)) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k5_finsub_1(k9_matrix_1(f1_s1_matrix_9))))  =>  ( (r2_tarski(A, f2_s1_matrix_9) &  (r1_tarski(B, f2_s1_matrix_9) & p1_s1_matrix_9(B)) )  =>  (r2_tarski(A, B) | p1_s1_matrix_9(k2_xboole_0(B, k1_tarski(A)))) ) ) ) ) ) )  => p1_s1_matrix_9(f2_s1_matrix_9)) ).
fof(dt_f1_s1_matrix_9, axiom, m1_subset_1(f1_s1_matrix_9, k4_ordinal1)).
fof(dt_f2_s1_matrix_9, axiom,  ( ~ (v1_xboole_0(f2_s1_matrix_9))  & m1_subset_1(f2_s1_matrix_9, k5_finsub_1(k9_matrix_1(f1_s1_matrix_9)))) ).
fof(dt_k1_matrix_9, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) ) ) )  =>  (v1_funct_1(k1_matrix_9(A, B, C)) &  (v1_funct_2(k1_matrix_9(A, B, C), k9_matrix_1(A), u1_struct_0(B)) & m1_subset_1(k1_matrix_9(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k9_matrix_1(A), u1_struct_0(B))))) ) ) ) ).
fof(dt_k2_matrix_9, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) ) ) )  => m1_subset_1(k2_matrix_9(A, B, C), u1_struct_0(B))) ) ).
fof(d1_matrixc1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k2_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k2_numbers)))  =>  (B=k1_matrixc1(A) <=>  (k3_finseq_1(B)=k3_finseq_1(A) &  (k1_matrix_0(B)=k1_matrix_0(A) &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_hidden(k4_tarski(C, D), k2_matrix_0(A)) => k3_matrix_0(k2_numbers, B, C, D)=k8_complex1(k3_matrix_0(k2_numbers, A, C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_matrixc1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) & v1_matrix_0(C)) ) )  =>  (r2_hidden(k4_tarski(A, B), k2_matrix_0(C)) <=>  (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, k3_finseq_1(C)) &  (r1_xxreal_0(1, B) & r1_xxreal_0(B, k1_matrix_0(C))) ) ) ) ) ) ) ) ) ) ).
fof(t3_matrixc1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k2_numbers)))  =>  (k3_finseq_1(k7_matrix_5(A, B))=k3_finseq_1(B) & k1_matrix_0(k7_matrix_5(A, B))=k1_matrix_0(B)) ) ) ) ) ).
fof(t4_matrixc1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(k2_numbers)))  =>  (r2_hidden(k4_tarski(A, B), k2_matrix_0(D)) => k3_matrix_0(k2_numbers, k7_matrix_5(C, D), A, B)=k3_xcmplx_0(C, k3_matrix_0(k2_numbers, D, A, B))) ) ) ) ) ) ) ) ) ).
fof(t5_matrixc1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k2_numbers)))  => k1_matrixc1(k7_matrix_5(A, B))=k7_matrix_5(k8_complex1(A), k1_matrixc1(B))) ) ) ) ).
fof(t6_matrixc1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k2_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k2_numbers)))  =>  (k3_finseq_1(k3_matrix_5(A, B))=k3_finseq_1(A) & k1_matrix_0(k3_matrix_5(A, B))=k1_matrix_0(A)) ) ) ) ) ).
fof(t7_matrixc1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k2_numbers)))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(k2_numbers)))  =>  (r2_hidden(k4_tarski(A, B), k2_matrix_0(C)) => k3_matrix_0(k2_numbers, k3_matrix_5(C, D), A, B)=k2_xcmplx_0(k3_matrix_0(k2_numbers, C, A, B), k3_matrix_0(k2_numbers, D, A, B))) ) ) ) ) ) ) ) ) ).
fof(t8_matrixc1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k2_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k2_numbers)))  =>  ( (k3_finseq_1(A)=k3_finseq_1(B) & k1_matrix_0(A)=k1_matrix_0(B))  => k1_matrixc1(k3_matrix_5(A, B))=k3_matrix_5(k1_matrixc1(A), k1_matrixc1(B))) ) ) ) ) ).
fof(t9_matrixc1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k2_numbers)))  =>  (k3_finseq_1(k4_matrix_5(A))=k3_finseq_1(A) & k1_matrix_0(k4_matrix_5(A))=k1_matrix_0(A)) ) ) ).
fof(t10_matrixc1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k2_numbers)))  =>  (r2_hidden(k4_tarski(A, B), k2_matrix_0(C)) => k3_matrix_0(k2_numbers, k4_matrix_5(C), A, B)=k4_xcmplx_0(k3_matrix_0(k2_numbers, C, A, B))) ) ) ) ) ) ) ).
fof(t11_matrixc1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k2_numbers)))  => k7_matrix_5(k4_xcmplx_0(1), A)=k4_matrix_5(A)) ) ).
fof(t12_matrixc1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k2_numbers)))  => k1_matrixc1(k4_matrix_5(A))=k4_matrix_5(k1_matrixc1(A))) ) ).
fof(t13_matrixc1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k2_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k2_numbers)))  =>  (k3_finseq_1(k5_matrix_5(A, B))=k3_finseq_1(A) & k1_matrix_0(k5_matrix_5(A, B))=k1_matrix_0(A)) ) ) ) ) ).
fof(t14_matrixc1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k2_numbers)))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(k2_numbers)))  =>  ( (k3_finseq_1(C)=k3_finseq_1(D) &  (k1_matrix_0(C)=k1_matrix_0(D) & r2_hidden(k4_tarski(A, B), k2_matrix_0(C))) )  => k3_matrix_0(k2_numbers, k5_matrix_5(C, D), A, B)=k6_xcmplx_0(k3_matrix_0(k2_numbers, C, A, B), k3_matrix_0(k2_numbers, D, A, B))) ) ) ) ) ) ) ) ) ).
fof(t15_matrixc1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k2_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k2_numbers)))  =>  ( (k3_finseq_1(A)=k3_finseq_1(B) & k1_matrix_0(A)=k1_matrix_0(B))  => k1_matrixc1(k5_matrix_5(A, B))=k5_matrix_5(k1_matrixc1(A), k1_matrixc1(B))) ) ) ) ) ).
fof(d2_matrixc1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k2_numbers)))  => k2_matrixc1(A)=k1_matrixc1(k4_matrix_0(k2_numbers, A))) ) ).
fof(d3_matrixc1, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  ( ~ (r1_xxreal_0(k3_finseq_1(A), k5_numbers))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k2_numbers)))  =>  (B=k3_matrixc1(A) <=>  (k3_finseq_1(B)=k3_finseq_1(A) &  (k1_matrix_0(B)=1 &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k2_finseq_1(k3_finseq_1(A))) => k1_funct_1(B, C)=k13_matrix_0(k2_numbers, k9_matrix_5(A, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_matrixc1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k2_numbers)))  => k4_matrixc1(A)=k8_matrix_0(k2_numbers, A, 1)) ) ).
fof(d5_matrixc1, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) => k5_matrixc1(A, B)=k1_finseqop(k2_numbers, k2_numbers, k2_numbers, k5_binop_2, A, B)) ) ) ) ).
fof(d6_matrixc1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k2_numbers)))  =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (! [C] :  (m2_finseq_1(C, k2_numbers) =>  (C=k6_matrixc1(A, B) <=>  (k3_finseq_1(C)=k3_finseq_1(A) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k2_finseq_1(k3_finseq_1(A))) => k9_matrix_5(C, D)=k17_rvsum_1(k5_matrixc1(k7_matrix_0(k2_numbers, A, D), B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_matrixc1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k2_numbers) =>  (! [C] :  (m2_finseq_2(C, k2_numbers, k4_finseq_2(A, k2_numbers)) =>  (! [D] :  (m2_finseq_2(D, k2_numbers, k4_finseq_2(A, k2_numbers)) => k10_seq_4(k5_matrixc1(C, D), B)=k5_matrixc1(k10_seq_4(C, B), D)) ) ) ) ) ) ) ) ).
fof(d7_matrixc1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k2_numbers)))  =>  (! [B] :  (v1_xcmplx_0(B) => k7_matrixc1(A, B)=k7_matrix_5(B, A)) ) ) ) ).
fof(t17_matrixc1, axiom,  (! [A] :  (m1_subset_1(A, k2_numbers) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k2_numbers)))  => k1_matrixc1(k7_matrixc1(B, A))=k7_matrix_5(k8_complex1(A), k1_matrixc1(B))) ) ) ) ).
fof(t18_matrixc1, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(k5_matrixc1(A, B))) => k9_matrix_5(k5_matrixc1(A, B), C)=k3_xcmplx_0(k9_matrix_5(A, C), k9_matrix_5(B, C))) ) ) ) ) ) ) ).
fof(t19_matrixc1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_2(C, k2_numbers, k4_finseq_2(A, k2_numbers)) =>  (! [D] :  (m2_finseq_2(D, k2_numbers, k4_finseq_2(A, k2_numbers)) => k9_matrix_5(k5_matrixc1(C, D), B)=k3_xcmplx_0(k9_matrix_5(C, B), k9_matrix_5(D, B))) ) ) ) ) ) ) ) ).
fof(t21_matrixc1, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  &  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, k3_finseq_1(A)))  => k9_matrix_5(B, C)=k9_matrix_5(A, C)) ) ) ) ) ) ) ).
fof(t22_matrixc1, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (r1_xxreal_0(1, k3_finseq_1(k1_complsp2(A))) => k1_finsop_1(k2_numbers, k1_complsp2(A), k3_binop_2)=k8_complex1(k1_finsop_1(k2_numbers, A, k3_binop_2))) ) ) ).
fof(t23_matrixc1, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (r1_xxreal_0(1, k3_finseq_1(A)) => k17_rvsum_1(k1_complsp2(A))=k8_complex1(k17_rvsum_1(A))) ) ) ).
fof(t24_matrixc1, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (k3_finseq_1(A)=k3_finseq_1(B) => k1_complsp2(k5_matrixc1(A, k1_complsp2(B)))=k5_matrixc1(B, k1_complsp2(A))) ) ) ) ) ).
fof(t25_matrixc1, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (! [C] :  (m1_subset_1(C, k2_numbers) =>  (k3_finseq_1(A)=k3_finseq_1(B) => k5_matrixc1(A, k10_seq_4(B, C))=k10_seq_4(k5_matrixc1(A, B), C)) ) ) ) ) ) ) ).
fof(t26_matrixc1, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (! [C] :  (m1_subset_1(C, k2_numbers) =>  (k3_finseq_1(A)=k3_finseq_1(B) => k5_matrixc1(k10_seq_4(A, C), B)=k10_seq_4(k5_matrixc1(A, B), C)) ) ) ) ) ) ) ).
fof(t27_matrixc1, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (k3_finseq_1(A)=k3_finseq_1(B) => k1_complsp2(k5_matrixc1(A, B))=k5_matrixc1(k1_complsp2(A), k1_complsp2(B))) ) ) ) ) ).
fof(t28_matrixc1, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m1_subset_1(B, k2_numbers) => k17_rvsum_1(k10_seq_4(A, B))=k3_xcmplx_0(B, k17_rvsum_1(A))) ) ) ) ).
fof(d8_matrixc1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) => k9_matrixc1(A)=A) ) ).
fof(t29_matrixc1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  ( (A=B & r1_xxreal_0(1, k3_finseq_1(A)))  => k1_finsop_1(k1_numbers, A, k9_binop_2)=k1_finsop_1(k2_numbers, B, k3_binop_2)) ) ) ) ) ).
fof(t30_matrixc1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  ( (A=B & r1_xxreal_0(1, k3_finseq_1(A)))  => k18_rvsum_1(A)=k17_rvsum_1(B)) ) ) ) ) ).
fof(t31_matrixc1, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (k3_finseq_1(A)=k3_finseq_1(B) => k17_rvsum_1(k8_seq_4(A, B))=k6_xcmplx_0(k17_rvsum_1(A), k17_rvsum_1(B))) ) ) ) ) ).
fof(t32_matrixc1, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (! [C] :  (m2_finseq_1(C, k2_numbers) =>  ( (k3_finseq_1(A)=k3_finseq_1(B) & k3_finseq_1(B)=k3_finseq_1(C))  => k5_matrixc1(k8_seq_4(A, B), C)=k8_seq_4(k5_matrixc1(A, C), k5_matrixc1(B, C))) ) ) ) ) ) ) ).
fof(t33_matrixc1, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (! [C] :  (m2_finseq_1(C, k2_numbers) =>  ( (k3_finseq_1(A)=k3_finseq_1(B) & k3_finseq_1(B)=k3_finseq_1(C))  => k5_matrixc1(A, k8_seq_4(B, C))=k8_seq_4(k5_matrixc1(A, B), k5_matrixc1(A, C))) ) ) ) ) ) ) ).
fof(t34_matrixc1, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (! [C] :  (m2_finseq_1(C, k2_numbers) =>  ( (k3_finseq_1(A)=k3_finseq_1(B) & k3_finseq_1(B)=k3_finseq_1(C))  => k5_matrixc1(A, k7_seq_4(B, C))=k7_seq_4(k5_matrixc1(A, B), k5_matrixc1(A, C))) ) ) ) ) ) ) ).
fof(t35_matrixc1, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (! [C] :  (m2_finseq_1(C, k2_numbers) =>  ( (k3_finseq_1(A)=k3_finseq_1(B) & k3_finseq_1(B)=k3_finseq_1(C))  => k5_matrixc1(k7_seq_4(A, B), C)=k7_seq_4(k5_matrixc1(A, C), k5_matrixc1(B, C))) ) ) ) ) ) ) ).
fof(t36_matrixc1, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (k3_finseq_1(A)=k3_finseq_1(B) => k17_rvsum_1(k7_seq_4(A, B))=k2_xcmplx_0(k17_rvsum_1(A), k17_rvsum_1(B))) ) ) ) ) ).
fof(t37_matrixc1, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  ( (A=C &  (B=D & k3_finseq_1(A)=k3_finseq_1(D)) )  => k1_finseqop(k2_numbers, k2_numbers, k2_numbers, k5_binop_2, A, B)=k1_finseqop(k1_numbers, k1_numbers, k1_numbers, k11_binop_2, C, D)) ) ) ) ) ) ) ) ) ).
fof(t38_matrixc1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (k3_finseq_1(A)=k3_finseq_1(B) => k9_matrixc1(k14_rvsum_1(A, B))=k5_matrixc1(k9_matrixc1(A), k9_matrixc1(B))) ) ) ) ) ).
fof(t39_matrixc1, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (k3_finseq_1(A)=k3_finseq_1(B) => k8_complsp2(A, B)=k17_rvsum_1(k5_matrixc1(A, k1_complsp2(B)))) ) ) ) ) ).
fof(t40_matrixc1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k2_numbers)))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(k2_numbers)))  =>  ( (k1_matrix_0(C)=k1_matrix_0(D) & r2_tarski(B, k2_finseq_1(k3_finseq_1(C))))  => k7_matrix_0(k2_numbers, k3_matrix_5(C, D), B)=k7_seq_4(k7_matrix_0(k2_numbers, C, B), k7_matrix_0(k2_numbers, D, B))) ) ) ) ) ) ) ) ) ).
fof(t41_matrixc1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k2_numbers)))  =>  (r2_tarski(A, k2_finseq_1(k3_finseq_1(B))) => k7_matrix_0(k2_numbers, B, A)=k1_complsp2(k7_matrix_0(k2_numbers, k1_matrixc1(B), A))) ) ) ) ) ).
fof(t42_matrixc1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k2_numbers)))  =>  (k3_finseq_1(B)=k1_matrix_0(C) => k5_matrixc1(B, k1_complsp2(k7_matrix_0(k2_numbers, k1_matrixc1(C), A)))=k1_complsp2(k5_matrixc1(k7_matrix_0(k2_numbers, k1_matrixc1(C), A), k1_complsp2(B)))) ) ) ) ) ) ) ).
fof(t43_matrixc1, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k2_numbers)))  =>  ( (k3_finseq_1(A)=k1_matrix_0(B) & r1_xxreal_0(1, k3_finseq_1(A)))  => k1_complsp2(k6_matrixc1(B, A))=k6_matrixc1(k1_matrixc1(B), k1_complsp2(A))) ) ) ) ) ).
fof(t44_matrixc1, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (! [C] :  (m2_finseq_1(C, k2_numbers) =>  ( (k3_finseq_1(A)=k3_finseq_1(B) & k3_finseq_1(B)=k3_finseq_1(C))  => k5_matrixc1(A, k5_matrixc1(B, C))=k5_matrixc1(k5_matrixc1(A, B), C)) ) ) ) ) ) ) ).
fof(t45_matrixc1, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) => k17_rvsum_1(k9_seq_4(A))=k4_xcmplx_0(k17_rvsum_1(A))) ) ).
fof(t46_matrixc1, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) => k17_rvsum_1(k8_finseq_1(k2_numbers, A, B))=k2_xcmplx_0(k17_rvsum_1(A), k17_rvsum_1(B))) ) ) ) ).
fof(d9_matrixc1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k2_numbers)))  =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (B=k10_matrixc1(A) <=>  (k3_finseq_1(B)=k3_finseq_1(A) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k2_finseq_1(k3_finseq_1(A))) => k9_matrix_5(B, C)=k17_rvsum_1(k7_matrix_0(k2_numbers, A, C))) ) ) ) ) ) ) ) ) ).
fof(d10_matrixc1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k2_numbers)))  =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (B=k11_matrixc1(A) <=>  (k3_finseq_1(B)=k1_matrix_0(A) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k2_finseq_1(k1_matrix_0(A))) => k9_matrix_5(B, C)=k17_rvsum_1(k8_matrix_0(k2_numbers, A, C))) ) ) ) ) ) ) ) ) ).
fof(t47_matrixc1, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (k3_finseq_1(A)=1 => k17_rvsum_1(A)=k9_matrix_5(A, 1)) ) ) ).
fof(t48_matrixc1, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (! [C] :  (v7_ordinal1(C) =>  ( (k3_finseq_1(A)=k1_nat_1(C, 1) & B=k17_finseq_1(k2_numbers, C, A))  => k17_rvsum_1(A)=k2_xcmplx_0(k17_rvsum_1(B), k7_partfun1(k2_numbers, A, k3_finseq_1(A)))) ) ) ) ) ) ) ).
fof(t49_matrixc1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k2_numbers)))  =>  ( ~ (r1_xxreal_0(k3_finseq_1(A), k5_numbers))  => k17_rvsum_1(k10_matrixc1(A))=k17_rvsum_1(k11_matrixc1(A))) ) ) ).
fof(d11_matrixc1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k2_numbers)))  => k12_matrixc1(A)=k17_rvsum_1(k10_matrixc1(A))) ) ).
fof(t50_matrixc1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k2_numbers)))  => k11_matrixc1(A)=k10_matrixc1(k4_matrix_0(k2_numbers, A))) ) ).
fof(t51_matrixc1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k2_numbers)))  =>  ( ~ (r1_xxreal_0(k3_finseq_1(A), k5_numbers))  => k12_matrixc1(A)=k12_matrixc1(k4_matrix_0(k2_numbers, A))) ) ) ).
fof(d12_matrixc1, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k2_numbers)))  =>  ( (k3_finseq_1(A)=k3_finseq_1(C) & k3_finseq_1(B)=k1_matrix_0(C))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(k2_numbers)))  =>  (D=k13_matrixc1(A, B, C) <=>  (k3_finseq_1(D)=k3_finseq_1(A) &  (k1_matrix_0(D)=k3_finseq_1(B) &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (r2_hidden(k4_tarski(E, F), k2_matrix_0(C)) => k3_matrix_0(k2_numbers, D, E, F)=k3_xcmplx_0(k3_xcmplx_0(k9_matrix_5(A, E), k3_matrix_0(k2_numbers, C, E, F)), k8_complex1(k9_matrix_5(B, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_matrixc1, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k2_numbers)))  =>  ( (k3_finseq_1(A)=k3_finseq_1(C) & k3_finseq_1(B)=k1_matrix_0(C))  =>  (r1_xxreal_0(k3_finseq_1(B), k5_numbers) | k4_matrix_0(k2_numbers, k13_matrixc1(A, B, C))=k1_matrixc1(k13_matrixc1(B, A, k2_matrixc1(C)))) ) ) ) ) ) ) ) ).
fof(t53_matrixc1, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k2_numbers)))  =>  ( (k3_finseq_1(A)=k3_finseq_1(C) & k3_finseq_1(B)=k1_matrix_0(C))  => k1_matrixc1(k13_matrixc1(A, B, C))=k13_matrixc1(k1_complsp2(A), k1_complsp2(B), k1_matrixc1(C))) ) ) ) ) ) ) ).
fof(t54_matrixc1, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (k3_finseq_1(A)=k3_finseq_1(B) =>  (r1_xxreal_0(k3_finseq_1(B), k5_numbers) | k8_complsp2(A, B)=k8_complex1(k8_complsp2(B, A))) ) ) ) ) ) ).
fof(t55_matrixc1, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (k3_finseq_1(A)=k3_finseq_1(B) =>  (r1_xxreal_0(k3_finseq_1(B), k5_numbers) | k8_complex1(k8_complsp2(A, B))=k8_complsp2(k1_complsp2(A), k1_complsp2(B))) ) ) ) ) ) ).
fof(t56_matrixc1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k2_numbers)))  =>  ( ~ (r1_xxreal_0(k1_matrix_0(A), k5_numbers))  => k1_matrixc1(k4_matrix_0(k2_numbers, A))=k4_matrix_0(k2_numbers, k1_matrixc1(A))) ) ) ).
fof(t57_matrixc1, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k2_numbers)))  =>  ( (k3_finseq_1(A)=k1_matrix_0(C) & k3_finseq_1(B)=k3_finseq_1(C))  =>  (r1_xxreal_0(k3_finseq_1(A), k5_numbers) |  (r1_xxreal_0(k3_finseq_1(B), k5_numbers) | k8_complsp2(A, k6_matrixc1(k2_matrixc1(C), B))=k12_matrixc1(k13_matrixc1(A, B, k4_matrix_0(k2_numbers, C)))) ) ) ) ) ) ) ) ) ).
fof(t58_matrixc1, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k2_numbers)))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) & k3_finseq_1(A)=k1_matrix_0(C))  =>  (r1_xxreal_0(k3_finseq_1(A), k5_numbers) |  (r1_xxreal_0(k3_finseq_1(B), k5_numbers) | k8_complsp2(k6_matrixc1(C, A), B)=k12_matrixc1(k13_matrixc1(A, B, k4_matrix_0(k2_numbers, C)))) ) ) ) ) ) ) ) ) ).
fof(t59_matrixc1, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k2_numbers)))  =>  ( (k3_finseq_1(A)=k1_matrix_0(C) & k3_finseq_1(B)=k3_finseq_1(C))  =>  (r1_xxreal_0(k1_matrix_0(C), k5_numbers) |  (r1_xxreal_0(k3_finseq_1(C), k5_numbers) | k8_complsp2(k6_matrixc1(C, A), B)=k8_complsp2(A, k6_matrixc1(k2_matrixc1(C), B))) ) ) ) ) ) ) ) ) ).
fof(t60_matrixc1, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (m2_finseq_1(B, k2_numbers) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k2_numbers)))  =>  ( (k3_finseq_1(A)=k3_finseq_1(C) & k3_finseq_1(B)=k1_matrix_0(C))  =>  (r1_xxreal_0(k1_matrix_0(C), k5_numbers) |  (r1_xxreal_0(k3_finseq_1(C), k5_numbers) | k8_complsp2(A, k6_matrixc1(C, B))=k8_complsp2(k6_matrixc1(k2_matrixc1(C), A), B)) ) ) ) ) ) ) ) ) ).
fof(dt_k1_matrixc1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m1_finseq_1(A, k3_finseq_2(k2_numbers)))  =>  (v1_matrix_0(k1_matrixc1(A)) & m2_finseq_1(k1_matrixc1(A), k3_finseq_2(k2_numbers))) ) ) ).
fof(involutiveness_k1_matrixc1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m1_finseq_1(A, k3_finseq_2(k2_numbers)))  => k1_matrixc1(k1_matrixc1(A))=A) ) ).
fof(dt_k2_matrixc1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m1_finseq_1(A, k3_finseq_2(k2_numbers)))  =>  (v1_matrix_0(k2_matrixc1(A)) & m2_finseq_1(k2_matrixc1(A), k3_finseq_2(k2_numbers))) ) ) ).
fof(dt_k3_matrixc1, axiom,  (! [A] :  (m1_finseq_1(A, k2_numbers) =>  (v1_matrix_0(k3_matrixc1(A)) & m2_finseq_1(k3_matrixc1(A), k3_finseq_2(k2_numbers))) ) ) ).
fof(dt_k4_matrixc1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m1_finseq_1(A, k3_finseq_2(k2_numbers)))  => m2_finseq_1(k4_matrixc1(A), k2_numbers)) ) ).
fof(dt_k5_matrixc1, axiom,  (! [A, B] :  ( (m1_finseq_1(A, k2_numbers) & m1_finseq_1(B, k2_numbers))  => m2_finseq_1(k5_matrixc1(A, B), k2_numbers)) ) ).
fof(commutativity_k5_matrixc1, axiom,  (! [A, B] :  ( (m1_finseq_1(A, k2_numbers) & m1_finseq_1(B, k2_numbers))  => k5_matrixc1(A, B)=k5_matrixc1(B, A)) ) ).
fof(dt_k6_matrixc1, axiom,  (! [A, B] :  ( ( (v1_matrix_0(A) & m1_finseq_1(A, k3_finseq_2(k2_numbers)))  & m1_finseq_1(B, k2_numbers))  => m2_finseq_1(k6_matrixc1(A, B), k2_numbers)) ) ).
fof(dt_k7_matrixc1, axiom,  (! [A, B] :  ( ( (v1_matrix_0(A) & m1_finseq_1(A, k3_finseq_2(k2_numbers)))  & v1_xcmplx_0(B))  =>  (v1_matrix_0(k7_matrixc1(A, B)) & m2_finseq_1(k7_matrixc1(A, B), k3_finseq_2(k2_numbers))) ) ) ).
fof(dt_k8_matrixc1, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k4_ordinal1) &  (m1_subset_1(B, k4_finseq_2(A, k2_numbers)) & m1_subset_1(C, k4_finseq_2(A, k2_numbers))) )  => m2_finseq_2(k8_matrixc1(A, B, C), k2_numbers, k4_finseq_2(A, k2_numbers))) ) ).
fof(commutativity_k8_matrixc1, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k4_ordinal1) &  (m1_subset_1(B, k4_finseq_2(A, k2_numbers)) & m1_subset_1(C, k4_finseq_2(A, k2_numbers))) )  => k8_matrixc1(A, B, C)=k8_matrixc1(A, C, B)) ) ).
fof(redefinition_k8_matrixc1, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k4_ordinal1) &  (m1_subset_1(B, k4_finseq_2(A, k2_numbers)) & m1_subset_1(C, k4_finseq_2(A, k2_numbers))) )  => k8_matrixc1(A, B, C)=k5_matrixc1(B, C)) ) ).
fof(dt_k9_matrixc1, axiom,  (! [A] :  (m1_finseq_1(A, k1_numbers) => m2_finseq_1(k9_matrixc1(A), k2_numbers)) ) ).
fof(dt_k10_matrixc1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m1_finseq_1(A, k3_finseq_2(k2_numbers)))  => m2_finseq_1(k10_matrixc1(A), k2_numbers)) ) ).
fof(dt_k11_matrixc1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m1_finseq_1(A, k3_finseq_2(k2_numbers)))  => m2_finseq_1(k11_matrixc1(A), k2_numbers)) ) ).
fof(dt_k12_matrixc1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m1_finseq_1(A, k3_finseq_2(k2_numbers)))  => m1_subset_1(k12_matrixc1(A), k2_numbers)) ) ).
fof(dt_k13_matrixc1, axiom,  (! [A, B, C] :  ( (m1_finseq_1(A, k2_numbers) &  (m1_finseq_1(B, k2_numbers) &  (v1_matrix_0(C) & m1_finseq_1(C, k3_finseq_2(k2_numbers))) ) )  =>  (v1_matrix_0(k13_matrixc1(A, B, C)) & m2_finseq_1(k13_matrixc1(A, B, C), k3_finseq_2(k2_numbers))) ) ) ).
fof(rc1_matrixj1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_finseq_1(B, k3_finseq_2(k3_finseq_2(A))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k3_finseq_2(k3_finseq_2(A))) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) & v1_matrixj1(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_matrixj1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_finseq_1(B, k3_finseq_2(k3_finseq_2(A))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k3_finseq_2(k3_finseq_2(A))) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) & v2_matrixj1(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_matrixj1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_finseq_1(B, k3_finseq_2(k3_finseq_2(A))) =>  (v2_matrixj1(B, A) => v1_matrixj1(B, A)) ) ) ) ) ).
fof(fc1_matrixj1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( (v2_matrixj1(B, u1_struct_0(A)) & m1_finseq_1(B, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  & m1_finseq_1(C, u1_struct_0(A))) )  =>  (v1_matrixj1(k24_matrixj1(A, B, C), u1_struct_0(A)) & v2_matrixj1(k24_matrixj1(A, B, C), u1_struct_0(A))) ) ) ).
fof(fc2_matrixj1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( (v2_matrixj1(B, u1_struct_0(A)) & m1_finseq_1(B, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  &  (v1_matrixj1(C, u1_struct_0(A)) & m1_finseq_1(C, k3_finseq_2(k3_finseq_2(u1_struct_0(A))))) ) )  =>  (v1_matrixj1(k25_matrixj1(A, B, C), u1_struct_0(A)) & v2_matrixj1(k25_matrixj1(A, B, C), u1_struct_0(A))) ) ) ).
fof(t1_matrixj1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(A)) =>  (k3_finseq_1(B)=k3_finseq_1(C) => k8_finseq_1(u1_struct_0(A), k3_fvsum_1(A, B, C), k3_fvsum_1(A, D, E))=k3_fvsum_1(A, k8_finseq_1(u1_struct_0(A), B, D), k8_finseq_1(u1_struct_0(A), C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_matrixj1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, B) =>  (! [D] :  (m2_finseq_1(D, B) =>  (r2_tarski(A, k4_finseq_1(C)) => k3_wsierp_1(B, A, k8_finseq_1(B, C, D))=k8_finseq_1(B, k3_wsierp_1(B, A, C), D)) ) ) ) ) ) ) ) ) ).
fof(t3_matrixj1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, B) =>  (! [D] :  (m2_finseq_1(D, B) =>  (r2_tarski(A, k4_finseq_1(D)) => k3_wsierp_1(B, k1_nat_1(A, k3_finseq_1(C)), k8_finseq_1(B, C, D))=k8_finseq_1(B, C, k3_wsierp_1(B, A, D))) ) ) ) ) ) ) ) ) ).
fof(t4_matrixj1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, C) =>  (r2_tarski(A, k2_finseq_1(k1_nat_1(B, 1))) => k3_wsierp_1(C, A, k5_finseq_2(C, k1_nat_1(B, 1), D))=k5_finseq_2(C, B, D)) ) ) ) ) ) ) ) ) ).
fof(t5_matrixj1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k3_group_4(B, k5_finseq_2(u1_struct_0(B), A, C))=k1_laplace(B, k4_group_1(B), C, A)) ) ) ) ) ) ).
fof(d1_matrixj1, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k2_finseq_1(k1_wsierp_1(A))) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (C=k1_matrixj1(A, B) <=>  (r1_xxreal_0(B, k1_wsierp_1(k17_finseq_1(k4_ordinal1, C, A))) &  (r2_tarski(C, k4_finseq_1(A)) &  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(B, k1_wsierp_1(k17_finseq_1(k4_ordinal1, D, A))) => r1_xxreal_0(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_matrixj1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (r2_tarski(A, k4_finseq_1(B)) =>  (k1_funct_1(B, A)=k5_numbers | k1_matrixj1(B, k1_wsierp_1(k17_finseq_1(k4_ordinal1, A, B)))=A) ) ) ) ) ) ).
fof(t7_matrixj1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (r2_tarski(A, k2_finseq_1(k1_wsierp_1(B))) =>  (k7_nat_d(k1_matrixj1(B, A), 1)=k6_xcmplx_0(k1_matrixj1(B, A), 1) &  ~ (r1_xxreal_0(A, k1_wsierp_1(k17_finseq_1(k4_ordinal1, k7_nat_d(k1_matrixj1(B, A), 1), B)))) ) ) ) ) ) ) ).
fof(t8_matrixj1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (r2_tarski(A, k2_finseq_1(k1_wsierp_1(B))) => k1_matrixj1(k8_finseq_1(k4_ordinal1, B, C), A)=k1_matrixj1(B, A)) ) ) ) ) ) ) ).
fof(t9_matrixj1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (r2_tarski(A, k7_subset_1(k4_ordinal1, k2_finseq_1(k1_nat_1(k1_wsierp_1(B), k1_wsierp_1(C))), k2_finseq_1(k1_wsierp_1(B)))) =>  (k1_matrixj1(k8_finseq_1(k4_ordinal1, B, C), A)=k1_nat_1(k1_matrixj1(C, k7_nat_d(A, k1_wsierp_1(B))), k3_finseq_1(B)) & k7_nat_d(A, k1_wsierp_1(B))=k6_xcmplx_0(A, k1_wsierp_1(B))) ) ) ) ) ) ) ) ).
fof(t10_matrixj1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  ( (r2_tarski(A, k4_finseq_1(C)) & r2_tarski(B, k2_finseq_1(k7_partfun1(k4_ordinal1, C, A))))  =>  (r2_tarski(k1_nat_1(B, k1_wsierp_1(k17_finseq_1(k4_ordinal1, k7_nat_d(A, 1), C))), k2_finseq_1(k1_wsierp_1(k17_finseq_1(k4_ordinal1, A, C)))) & k1_matrixj1(C, k1_nat_1(B, k1_wsierp_1(k17_finseq_1(k4_ordinal1, k7_nat_d(A, 1), C))))=A) ) ) ) ) ) ) ) ).
fof(t11_matrixj1, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(B, k3_finseq_1(A)) &  (r1_xxreal_0(C, k3_finseq_1(A)) & k1_wsierp_1(k17_finseq_1(k4_ordinal1, B, A))=k1_wsierp_1(k17_finseq_1(k4_ordinal1, C, A))) )  =>  ( (r2_tarski(B, k4_finseq_1(A)) & k1_funct_1(A, B)=k5_numbers)  |  ( (r2_tarski(C, k4_finseq_1(A)) & k1_funct_1(A, C)=k5_numbers)  | B=C) ) ) ) ) ) ) ) ) ).
fof(d2_matrixj1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, k3_finseq_2(k3_finseq_2(A))) =>  (v1_matrixj1(B, A) <=>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) =>  (v1_matrix_0(k1_funct_1(B, C)) & m2_finseq_1(k1_funct_1(B, C), k3_finseq_2(A))) ) ) ) ) ) ) ) ) ).
fof(t12_matrixj1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_matrixj1(k1_xboole_0, A) & m2_finseq_1(k1_xboole_0, k3_finseq_2(k3_finseq_2(A)))) ) ) ).
fof(d3_matrixj1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrixj1(B, A) & m2_finseq_1(B, k3_finseq_2(k3_finseq_2(A))))  =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (C=k8_matrixj1(A, B) <=>  (k4_finseq_1(C)=k4_finseq_1(B) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(C)) => k1_funct_1(C, D)=k3_finseq_1(k2_matrixj1(A, B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_matrixj1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrixj1(B, A) & m2_finseq_1(B, k3_finseq_2(k3_finseq_2(A))))  =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (C=k9_matrixj1(A, B) <=>  (k4_finseq_1(C)=k4_finseq_1(B) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(C)) => k1_funct_1(C, D)=k1_matrix_0(k2_matrixj1(A, B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_matrixj1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrixj1(B, A) & m2_finseq_1(B, k3_finseq_2(k3_finseq_2(A))))  =>  (k1_wsierp_1(k10_matrixj1(A, B))=k5_numbers => k1_wsierp_1(k11_matrixj1(A, B))=k5_numbers) ) ) ) ) ).
fof(t14_matrixj1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrixj1(B, A) & m2_finseq_1(B, k3_finseq_2(k3_finseq_2(A))))  =>  (! [C] :  ( (v1_matrixj1(C, A) & m2_finseq_1(C, k3_finseq_2(k3_finseq_2(A))))  => k10_matrixj1(A, k3_matrixj1(A, B, C))=k8_finseq_1(k4_ordinal1, k10_matrixj1(A, B), k10_matrixj1(A, C))) ) ) ) ) ) ).
fof(t15_matrixj1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  => k10_matrixj1(A, k4_matrixj1(A, B))=k13_matrix_0(k4_ordinal1, k3_finseq_1(B))) ) ) ) ).
fof(t16_matrixj1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(A)))  => k1_wsierp_1(k10_matrixj1(A, k5_matrixj1(A, B, C)))=k1_nat_1(k3_finseq_1(B), k3_finseq_1(C))) ) ) ) ) ) ).
fof(t17_matrixj1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_matrixj1(C, B) & m2_finseq_1(C, k3_finseq_2(k3_finseq_2(B))))  => k10_matrixj1(B, k6_matrixj1(B, A, C))=k17_finseq_1(k4_ordinal1, A, k10_matrixj1(B, C))) ) ) ) ) ) ).
fof(t18_matrixj1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrixj1(B, A) & m2_finseq_1(B, k3_finseq_2(k3_finseq_2(A))))  =>  (! [C] :  ( (v1_matrixj1(C, A) & m2_finseq_1(C, k3_finseq_2(k3_finseq_2(A))))  => k11_matrixj1(A, k3_matrixj1(A, B, C))=k8_finseq_1(k4_ordinal1, k11_matrixj1(A, B), k11_matrixj1(A, C))) ) ) ) ) ) ).
fof(t19_matrixj1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  => k11_matrixj1(A, k4_matrixj1(A, B))=k9_finseq_1(k1_matrix_0(B))) ) ) ) ).
fof(t20_matrixj1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(A)))  => k1_wsierp_1(k11_matrixj1(A, k5_matrixj1(A, B, C)))=k2_xcmplx_0(k1_matrix_0(B), k1_matrix_0(C))) ) ) ) ) ) ).
fof(t21_matrixj1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_matrixj1(C, B) & m2_finseq_1(C, k3_finseq_2(k3_finseq_2(B))))  => k11_matrixj1(B, k6_matrixj1(B, A, C))=k17_finseq_1(k4_ordinal1, A, k11_matrixj1(B, C))) ) ) ) ) ) ).
fof(d5_matrixj1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_matrixj1(C, A) & m2_finseq_1(C, k3_finseq_2(k3_finseq_2(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(A)))  =>  (D=k12_matrixj1(A, B, C) <=>  (k3_finseq_1(D)=k1_wsierp_1(k10_matrixj1(A, C)) &  (k1_matrix_0(D)=k1_wsierp_1(k11_matrixj1(A, C)) &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (r2_hidden(k4_tarski(E, F), k2_matrix_0(D)) =>  ( ( ~ ( ( ~ (r1_xxreal_0(F, k1_wsierp_1(k17_finseq_1(k4_ordinal1, k7_nat_d(k1_matrixj1(k10_matrixj1(A, C), E), 1), k11_matrixj1(A, C)))))  & r1_xxreal_0(F, k1_wsierp_1(k17_finseq_1(k4_ordinal1, k1_matrixj1(k10_matrixj1(A, C), E), k11_matrixj1(A, C))))) )  => k3_matrix_0(A, D, E, F)=B)  &  (r1_xxreal_0(F, k1_wsierp_1(k17_finseq_1(k4_ordinal1, k1_matrixj1(k10_matrixj1(A, C), E), k11_matrixj1(A, C)))) =>  (r1_xxreal_0(F, k1_wsierp_1(k17_finseq_1(k4_ordinal1, k7_nat_d(k1_matrixj1(k10_matrixj1(A, C), E), 1), k11_matrixj1(A, C)))) | k3_matrix_0(A, D, E, F)=k3_matrix_0(A, k2_matrixj1(A, C, k1_matrixj1(k10_matrixj1(A, C), E)), k7_nat_d(E, k1_wsierp_1(k17_finseq_1(k4_ordinal1, k7_nat_d(k1_matrixj1(k10_matrixj1(A, C), E), 1), k10_matrixj1(A, C)))), k7_nat_d(F, k1_wsierp_1(k17_finseq_1(k4_ordinal1, k7_nat_d(k1_matrixj1(k10_matrixj1(A, C), E), 1), k11_matrixj1(A, C)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_matrixj1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_matrixj1(C, A) & m2_finseq_1(C, k3_finseq_2(k3_finseq_2(A))))  =>  (C=k1_xboole_0 => k13_matrixj1(A, B, C)=k1_xboole_0) ) ) ) ) ) ) ).
fof(t23_matrixj1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(A)))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(A)))  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, A, k1_wsierp_1(k10_matrixj1(A, k5_matrixj1(A, C, D))), k1_wsierp_1(k11_matrixj1(A, k5_matrixj1(A, C, D)))) & m2_finseq_1(E, k3_finseq_2(A))) )  =>  (E=k13_matrixj1(A, B, k5_matrixj1(A, C, D)) <=>  (! [F] :  (v7_ordinal1(F) =>  ( (r2_tarski(F, k4_finseq_1(C)) => k7_matrix_0(A, E, F)=k8_finseq_1(A, k7_matrix_0(A, C, F), k5_finseq_2(A, k1_matrix_0(D), B)))  &  (r2_tarski(F, k4_finseq_1(D)) => k7_matrix_0(A, E, k1_nat_1(F, k3_finseq_1(C)))=k8_finseq_1(A, k5_finseq_2(A, k1_matrix_0(C), B), k7_matrix_0(A, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_matrixj1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(A)))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(A)))  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, A, k1_wsierp_1(k10_matrixj1(A, k5_matrixj1(A, C, D))), k1_wsierp_1(k11_matrixj1(A, k5_matrixj1(A, C, D)))) & m2_finseq_1(E, k3_finseq_2(A))) )  =>  (E=k13_matrixj1(A, B, k5_matrixj1(A, C, D)) <=>  (! [F] :  (v7_ordinal1(F) =>  ( (r2_tarski(F, k2_finseq_1(k1_matrix_0(C))) => k8_matrix_0(A, E, F)=k8_finseq_1(A, k8_matrix_0(A, C, F), k5_finseq_2(A, k3_finseq_1(D), B)))  &  (r2_tarski(F, k2_finseq_1(k1_matrix_0(D))) => k8_matrix_0(A, E, k2_xcmplx_0(F, k1_matrix_0(C)))=k8_finseq_1(A, k5_finseq_2(A, k3_finseq_1(C), B), k8_matrix_0(A, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_matrixj1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_matrixj1(D, A) & m2_finseq_1(D, k3_finseq_2(k3_finseq_2(A))))  =>  (! [E] :  ( (v1_matrixj1(E, A) & m2_finseq_1(E, k3_finseq_2(k3_finseq_2(A))))  => m1_subset_1(k2_matrix_0(k13_matrixj1(A, B, D)), k1_zfmisc_1(k2_matrix_0(k13_matrixj1(A, C, k3_matrixj1(A, D, E)))))) ) ) ) ) ) ) ) ) ) ).
fof(t26_matrixj1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, C) =>  (! [E] :  ( (v1_matrixj1(E, C) & m2_finseq_1(E, k3_finseq_2(k3_finseq_2(C))))  =>  (! [F] :  ( (v1_matrixj1(F, C) & m2_finseq_1(F, k3_finseq_2(k3_finseq_2(C))))  =>  (r2_hidden(k4_tarski(A, B), k2_matrix_0(k13_matrixj1(C, D, E))) => k3_matrix_0(C, k13_matrixj1(C, D, E), A, B)=k3_matrix_0(C, k13_matrixj1(C, D, k3_matrixj1(C, E, F)), A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_matrixj1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, C) =>  (! [E] :  (m1_subset_1(E, C) =>  (! [F] :  ( (v1_matrixj1(F, C) & m2_finseq_1(F, k3_finseq_2(k3_finseq_2(C))))  =>  (! [G] :  ( (v1_matrixj1(G, C) & m2_finseq_1(G, k3_finseq_2(k3_finseq_2(C))))  =>  (r2_hidden(k4_tarski(A, B), k2_matrix_0(k13_matrixj1(C, D, G))) <=>  ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(B, k5_numbers))  & r2_hidden(k4_tarski(k1_nat_1(A, k1_wsierp_1(k10_matrixj1(C, F))), k1_nat_1(B, k1_wsierp_1(k11_matrixj1(C, F)))), k2_matrix_0(k13_matrixj1(C, E, k3_matrixj1(C, F, G))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_matrixj1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, C) =>  (! [E] :  ( (v1_matrixj1(E, C) & m2_finseq_1(E, k3_finseq_2(k3_finseq_2(C))))  =>  (! [F] :  ( (v1_matrixj1(F, C) & m2_finseq_1(F, k3_finseq_2(k3_finseq_2(C))))  =>  (r2_hidden(k4_tarski(A, B), k2_matrix_0(k13_matrixj1(C, D, F))) => k3_matrix_0(C, k13_matrixj1(C, D, F), A, B)=k3_matrix_0(C, k13_matrixj1(C, D, k3_matrixj1(C, E, F)), k1_nat_1(A, k1_wsierp_1(k10_matrixj1(C, E))), k1_nat_1(B, k1_wsierp_1(k11_matrixj1(C, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_matrixj1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, C) =>  (! [E] :  ( (v1_matrixj1(E, C) & m2_finseq_1(E, k3_finseq_2(k3_finseq_2(C))))  =>  (! [F] :  ( (v1_matrixj1(F, C) & m2_finseq_1(F, k3_finseq_2(k3_finseq_2(C))))  =>  (r2_hidden(k4_tarski(A, B), k2_matrix_0(k13_matrixj1(C, D, k3_matrixj1(C, E, F)))) =>  ( ( ~ ( (r1_xxreal_0(A, k1_wsierp_1(k10_matrixj1(C, E))) &  ~ (r1_xxreal_0(B, k1_wsierp_1(k11_matrixj1(C, E)))) ) )  &  ~ ( ( ~ (r1_xxreal_0(A, k1_wsierp_1(k10_matrixj1(C, E))))  & r1_xxreal_0(B, k1_wsierp_1(k11_matrixj1(C, E)))) ) )  | k3_matrix_0(C, k13_matrixj1(C, D, k3_matrixj1(C, E, F)), A, B)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_matrixj1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_matrixj1(C, A) & m2_finseq_1(C, k3_finseq_2(k3_finseq_2(A))))  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r2_tarski(D, k4_finseq_1(C)) & r2_hidden(k4_tarski(E, F), k2_matrix_0(k2_matrixj1(A, C, D))))  =>  (r2_hidden(k4_tarski(k1_nat_1(E, k1_wsierp_1(k17_finseq_1(k4_ordinal1, k7_nat_d(D, 1), k10_matrixj1(A, C)))), k1_nat_1(F, k1_wsierp_1(k17_finseq_1(k4_ordinal1, k7_nat_d(D, 1), k11_matrixj1(A, C))))), k2_matrix_0(k13_matrixj1(A, B, C))) & k3_matrix_0(A, k2_matrixj1(A, C, D), E, F)=k3_matrix_0(A, k13_matrixj1(A, B, C), k1_nat_1(E, k1_wsierp_1(k17_finseq_1(k4_ordinal1, k7_nat_d(D, 1), k10_matrixj1(A, C)))), k1_nat_1(F, k1_wsierp_1(k17_finseq_1(k4_ordinal1, k7_nat_d(D, 1), k11_matrixj1(A, C)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_matrixj1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_matrixj1(D, B) & m2_finseq_1(D, k3_finseq_2(k3_finseq_2(B))))  =>  (r2_tarski(A, k4_finseq_1(D)) => k2_matrixj1(B, D, A)=k6_matrix13(B, k13_matrixj1(B, C, D), k7_subset_1(k4_ordinal1, k2_finseq_1(k1_wsierp_1(k17_finseq_1(k4_ordinal1, A, k10_matrixj1(B, D)))), k2_finseq_1(k1_wsierp_1(k17_finseq_1(k4_ordinal1, k7_nat_d(A, 1), k10_matrixj1(B, D))))), k7_subset_1(k4_ordinal1, k2_finseq_1(k1_wsierp_1(k17_finseq_1(k4_ordinal1, A, k11_matrixj1(B, D)))), k2_finseq_1(k1_wsierp_1(k17_finseq_1(k4_ordinal1, k7_nat_d(A, 1), k11_matrixj1(B, D))))))) ) ) ) ) ) ) ) ) ).
fof(t32_matrixj1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(A)))  =>  (! [D] :  ( (v1_matrixj1(D, A) & m2_finseq_1(D, k3_finseq_2(k3_finseq_2(A))))  => C=k6_matrix13(A, k13_matrixj1(A, B, k3_matrixj1(A, k4_matrixj1(A, C), D)), k2_finseq_1(k3_finseq_1(C)), k2_finseq_1(k1_matrix_0(C)))) ) ) ) ) ) ) ) ).
fof(t33_matrixj1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(A)))  =>  (! [D] :  ( (v1_matrixj1(D, A) & m2_finseq_1(D, k3_finseq_2(k3_finseq_2(A))))  => C=k6_matrix13(A, k13_matrixj1(A, B, k3_matrixj1(A, D, k4_matrixj1(A, C))), k7_subset_1(k4_ordinal1, k2_finseq_1(k1_nat_1(k3_finseq_1(C), k1_wsierp_1(k10_matrixj1(A, D)))), k2_finseq_1(k1_wsierp_1(k10_matrixj1(A, D)))), k7_subset_1(k4_ordinal1, k2_finseq_1(k1_nat_1(k1_matrix_0(C), k1_wsierp_1(k11_matrixj1(A, D)))), k2_finseq_1(k1_wsierp_1(k11_matrixj1(A, D)))))) ) ) ) ) ) ) ) ).
fof(t34_matrixj1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(A)))  => k13_matrixj1(A, B, k4_matrixj1(A, C))=C) ) ) ) ) ) ).
fof(t35_matrixj1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_matrixj1(C, A) & m2_finseq_1(C, k3_finseq_2(k3_finseq_2(A))))  =>  (! [D] :  ( (v1_matrixj1(D, A) & m2_finseq_1(D, k3_finseq_2(k3_finseq_2(A))))  => k13_matrixj1(A, B, k3_matrixj1(A, C, D))=k13_matrixj1(A, B, k3_matrixj1(A, k4_matrixj1(A, k13_matrixj1(A, B, C)), D))) ) ) ) ) ) ) ) ).
fof(t36_matrixj1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_matrixj1(C, A) & m2_finseq_1(C, k3_finseq_2(k3_finseq_2(A))))  =>  (! [D] :  ( (v1_matrixj1(D, A) & m2_finseq_1(D, k3_finseq_2(k3_finseq_2(A))))  => k13_matrixj1(A, B, k3_matrixj1(A, C, D))=k13_matrixj1(A, B, k3_matrixj1(A, C, k4_matrixj1(A, k13_matrixj1(A, B, D))))) ) ) ) ) ) ) ) ).
fof(t37_matrixj1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, C) =>  (! [E] :  ( (v1_matrixj1(E, C) & m2_finseq_1(E, k3_finseq_2(k3_finseq_2(C))))  =>  ( (r2_tarski(A, k2_finseq_1(k1_wsierp_1(k10_matrixj1(C, E)))) & B=k1_matrixj1(k10_matrixj1(C, E), A))  => k7_matrix_0(C, k13_matrixj1(C, D, E), A)=k8_finseq_1(C, k8_finseq_1(C, k5_finseq_2(C, k1_wsierp_1(k11_matrixj1(C, k6_matrixj1(C, k7_nat_d(B, 1), E))), D), k7_matrix_0(C, k2_matrixj1(C, E, B), k7_nat_d(A, k1_wsierp_1(k10_matrixj1(C, k6_matrixj1(C, k7_nat_d(B, 1), E)))))), k5_finseq_2(C, k7_nat_d(k1_wsierp_1(k11_matrixj1(C, E)), k1_wsierp_1(k11_matrixj1(C, k6_matrixj1(C, B, E)))), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_matrixj1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, C) =>  (! [E] :  ( (v1_matrixj1(E, C) & m2_finseq_1(E, k3_finseq_2(k3_finseq_2(C))))  =>  ( (r2_tarski(A, k2_finseq_1(k1_wsierp_1(k11_matrixj1(C, E)))) & B=k1_matrixj1(k11_matrixj1(C, E), A))  => k8_matrix_0(C, k13_matrixj1(C, D, E), A)=k8_finseq_1(C, k8_finseq_1(C, k5_finseq_2(C, k1_wsierp_1(k10_matrixj1(C, k6_matrixj1(C, k7_nat_d(B, 1), E))), D), k8_matrix_0(C, k2_matrixj1(C, E, B), k7_nat_d(A, k1_wsierp_1(k11_matrixj1(C, k6_matrixj1(C, k7_nat_d(B, 1), E)))))), k5_finseq_2(C, k7_nat_d(k1_wsierp_1(k10_matrixj1(C, E)), k1_wsierp_1(k10_matrixj1(C, k6_matrixj1(C, B, E)))), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_matrixj1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(A)))  =>  (! [E] :  ( (v1_matrix_0(E) & m2_finseq_1(E, k3_finseq_2(A)))  =>  (! [F] :  ( (v1_matrix_0(F) & m2_finseq_1(F, k3_finseq_2(A)))  =>  (! [G] :  ( (v1_matrix_0(G) & m2_finseq_1(G, k3_finseq_2(A)))  =>  ( (k3_finseq_1(D)=k3_finseq_1(F) &  (k1_matrix_0(D)=k1_matrix_0(F) &  (k3_finseq_1(E)=k3_finseq_1(G) &  (k1_matrix_0(E)=k1_matrix_0(G) & k13_matrixj1(A, B, k5_matrixj1(A, D, E))=k13_matrixj1(A, C, k5_matrixj1(A, F, G))) ) ) )  =>  (D=F & E=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_matrixj1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(A)))  =>  (! [D] :  ( (v1_matrixj1(D, A) & m2_finseq_1(D, k3_finseq_2(k3_finseq_2(A))))  =>  (C=k1_xboole_0 =>  (k13_matrixj1(A, B, k3_matrixj1(A, D, k4_matrixj1(A, C)))=k13_matrixj1(A, B, D) & k13_matrixj1(A, B, k3_matrixj1(A, k4_matrixj1(A, C), D))=k13_matrixj1(A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t41_matrixj1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B))))  =>  (! [E] :  ( (v1_matrixj1(E, u1_struct_0(B)) & m2_finseq_1(E, k3_finseq_2(k3_finseq_2(u1_struct_0(B)))))  =>  ( (r2_tarski(A, k4_finseq_1(D)) & k1_matrix_0(D)=k1_matrix_0(k17_matrix_0(u1_struct_0(B), A, D)))  => k17_matrix_0(u1_struct_0(B), A, k13_matrixj1(u1_struct_0(B), C, k3_matrixj1(u1_struct_0(B), k4_matrixj1(u1_struct_0(B), D), E)))=k13_matrixj1(u1_struct_0(B), C, k3_matrixj1(u1_struct_0(B), k4_matrixj1(u1_struct_0(B), k17_matrix_0(u1_struct_0(B), A, D)), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_matrixj1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B))))  =>  (! [E] :  ( (v1_matrixj1(E, u1_struct_0(B)) & m2_finseq_1(E, k3_finseq_2(k3_finseq_2(u1_struct_0(B)))))  =>  ( (r2_tarski(A, k4_finseq_1(D)) & k1_matrix_0(D)=k1_matrix_0(k17_matrix_0(u1_struct_0(B), A, D)))  => k17_matrix_0(u1_struct_0(B), k2_xcmplx_0(k1_wsierp_1(k10_matrixj1(u1_struct_0(B), E)), A), k13_matrixj1(u1_struct_0(B), C, k3_matrixj1(u1_struct_0(B), E, k4_matrixj1(u1_struct_0(B), D))))=k13_matrixj1(u1_struct_0(B), C, k3_matrixj1(u1_struct_0(B), E, k4_matrixj1(u1_struct_0(B), k17_matrix_0(u1_struct_0(B), A, D))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_matrixj1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B))))  =>  (! [E] :  ( (v1_matrixj1(E, u1_struct_0(B)) & m2_finseq_1(E, k3_finseq_2(k3_finseq_2(u1_struct_0(B)))))  =>  (r2_tarski(A, k2_finseq_1(k1_matrix_0(D))) => k16_matrix_0(A, u1_struct_0(B), k13_matrixj1(u1_struct_0(B), C, k3_matrixj1(u1_struct_0(B), k4_matrixj1(u1_struct_0(B), D), E)))=k13_matrixj1(u1_struct_0(B), C, k3_matrixj1(u1_struct_0(B), k4_matrixj1(u1_struct_0(B), k16_matrix_0(A, u1_struct_0(B), D)), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_matrixj1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B))))  =>  (! [E] :  ( (v1_matrixj1(E, u1_struct_0(B)) & m2_finseq_1(E, k3_finseq_2(k3_finseq_2(u1_struct_0(B)))))  =>  (r2_tarski(A, k2_finseq_1(k1_matrix_0(D))) => k16_matrix_0(k1_nat_1(A, k1_wsierp_1(k11_matrixj1(u1_struct_0(B), E))), u1_struct_0(B), k13_matrixj1(u1_struct_0(B), C, k3_matrixj1(u1_struct_0(B), E, k4_matrixj1(u1_struct_0(B), D))))=k13_matrixj1(u1_struct_0(B), C, k3_matrixj1(u1_struct_0(B), E, k4_matrixj1(u1_struct_0(B), k16_matrix_0(A, u1_struct_0(B), D))))) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_matrixj1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, k3_finseq_2(k3_finseq_2(A))) =>  (v2_matrixj1(B, A) <=>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(C, k4_finseq_1(B)) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (v1_matrix_0(k1_funct_1(B, C)) &  (v2_matrix_0(k1_funct_1(B, C), A, D, D) & m2_finseq_1(k1_funct_1(B, C), k3_finseq_2(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_matrixj1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v2_matrixj1(k1_xboole_0, A) & m2_finseq_1(k1_xboole_0, k3_finseq_2(k3_finseq_2(A)))) ) ) ).
fof(t46_matrixj1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v2_matrixj1(B, A) & m2_finseq_1(B, k3_finseq_2(k3_finseq_2(A))))  => k10_matrixj1(A, B)=k11_matrixj1(A, B)) ) ) ) ).
fof(t47_matrixj1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v6_struct_0(D))  &  (v13_algstr_0(D) &  (v33_algstr_0(D) &  (v3_group_1(D) &  (v5_group_1(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(D)) =>  (! [F] :  ( (v2_matrixj1(F, u1_struct_0(D)) & m2_finseq_1(F, k3_finseq_2(k3_finseq_2(u1_struct_0(D)))))  =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, u1_struct_0(D), C, C) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(D)))) )  =>  ( (r2_tarski(A, k4_finseq_1(G)) & r2_tarski(B, k2_finseq_1(C)))  => k18_matrix_0(A, B, k1_wsierp_1(k10_matrixj1(u1_struct_0(D), k15_matrixj1(u1_struct_0(D), k16_matrixj1(u1_struct_0(D), C, G), F))), u1_struct_0(D), k20_matrixj1(u1_struct_0(D), E, k15_matrixj1(u1_struct_0(D), k16_matrixj1(u1_struct_0(D), C, G), F)))=k13_matrixj1(u1_struct_0(D), E, k3_matrixj1(u1_struct_0(D), k4_matrixj1(u1_struct_0(D), k18_matrix_0(A, B, C, u1_struct_0(D), G)), F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_matrixj1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v6_struct_0(D))  &  (v13_algstr_0(D) &  (v33_algstr_0(D) &  (v3_group_1(D) &  (v5_group_1(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(D)) =>  (! [F] :  ( (v2_matrixj1(F, u1_struct_0(D)) & m2_finseq_1(F, k3_finseq_2(k3_finseq_2(u1_struct_0(D)))))  =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, u1_struct_0(D), C, C) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(D)))) )  =>  ( (r2_tarski(A, k4_finseq_1(G)) & r2_tarski(B, k2_finseq_1(C)))  => k18_matrix_0(k1_nat_1(A, k1_wsierp_1(k10_matrixj1(u1_struct_0(D), F))), k1_nat_1(B, k1_wsierp_1(k10_matrixj1(u1_struct_0(D), F))), k1_wsierp_1(k10_matrixj1(u1_struct_0(D), k15_matrixj1(u1_struct_0(D), F, k16_matrixj1(u1_struct_0(D), C, G)))), u1_struct_0(D), k20_matrixj1(u1_struct_0(D), E, k15_matrixj1(u1_struct_0(D), F, k16_matrixj1(u1_struct_0(D), C, G))))=k13_matrixj1(u1_struct_0(D), E, k3_matrixj1(u1_struct_0(D), F, k4_matrixj1(u1_struct_0(D), k18_matrix_0(A, B, C, u1_struct_0(D), G))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_matrixj1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v2_matrixj1(B, u1_struct_0(A)) & m2_finseq_1(B, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (C=k21_matrixj1(A, B) <=>  (k4_finseq_1(C)=k4_finseq_1(B) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(C)) => k1_funct_1(C, D)=k12_matrix_3(k3_finseq_1(k2_matrixj1(u1_struct_0(A), B, D)), A, k14_matrixj1(u1_struct_0(A), B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_matrixj1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  => k22_matrixj1(B, k16_matrixj1(u1_struct_0(B), A, C))=k13_matrix_0(u1_struct_0(B), k12_matrix_3(A, B, C))) ) ) ) ) ) ).
fof(t50_matrixj1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v2_matrixj1(B, u1_struct_0(A)) & m2_finseq_1(B, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  =>  (! [C] :  ( (v2_matrixj1(C, u1_struct_0(A)) & m2_finseq_1(C, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  => k22_matrixj1(A, k15_matrixj1(u1_struct_0(A), B, C))=k8_finseq_1(u1_struct_0(A), k22_matrixj1(A, B), k22_matrixj1(A, C))) ) ) ) ) ) ).
fof(t51_matrixj1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v2_matrixj1(C, u1_struct_0(B)) & m2_finseq_1(C, k3_finseq_2(k3_finseq_2(u1_struct_0(B)))))  => k22_matrixj1(B, k18_matrixj1(u1_struct_0(B), A, C))=k17_finseq_1(u1_struct_0(B), A, k22_matrixj1(B, C))) ) ) ) ) ) ).
fof(t52_matrixj1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), B, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(C), A, A) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(C)))) )  => k12_matrix_3(k1_wsierp_1(k10_matrixj1(u1_struct_0(C), k17_matrixj1(u1_struct_0(C), B, A, D, E))), C, k20_matrixj1(u1_struct_0(C), k4_struct_0(C), k17_matrixj1(u1_struct_0(C), B, A, D, E)))=k8_group_1(C, k12_matrix_3(B, C, D), k12_matrix_3(A, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t53_matrixj1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v2_matrixj1(B, u1_struct_0(A)) & m2_finseq_1(B, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  => k12_matrix_3(k1_wsierp_1(k10_matrixj1(u1_struct_0(A), B)), A, k20_matrixj1(u1_struct_0(A), k4_struct_0(A), B))=k3_group_4(A, k22_matrixj1(A, B))) ) ) ) ).
fof(t54_matrixj1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B))))  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(B), A, A) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B)))) )  =>  (E=k13_matrixj1(u1_struct_0(B), k4_struct_0(B), k5_matrixj1(u1_struct_0(B), C, D)) =>  (k3_finseq_1(C)=k1_matrix_0(C) | k12_matrix_3(A, B, E)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_matrixj1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrixj1(C, u1_struct_0(B)) & m2_finseq_1(C, k3_finseq_2(k3_finseq_2(u1_struct_0(B)))))  =>  ( ~ (k10_matrixj1(u1_struct_0(B), C)=k11_matrixj1(u1_struct_0(B), C))  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (D=k13_matrixj1(u1_struct_0(B), k4_struct_0(B), C) => k12_matrix_3(A, B, D)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ).
fof(d8_matrixj1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (! [C] :  ( (v2_matrixj1(C, u1_struct_0(A)) & m2_finseq_1(C, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  =>  (C=k23_matrixj1(A, B) <=>  (k4_finseq_1(C)=k4_finseq_1(B) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(C)) => k14_matrixj1(u1_struct_0(A), C, D)=k3_matrix_1(A, k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_matrixj1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (k10_matrixj1(u1_struct_0(A), k23_matrixj1(A, B))=B & k11_matrixj1(u1_struct_0(A), k23_matrixj1(A, B))=B) ) ) ) ) ).
fof(t57_matrixj1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k23_matrixj1(A, k13_matrix_0(k4_ordinal1, B))=k16_matrixj1(u1_struct_0(A), B, k3_matrix_1(A, B))) ) ) ) ).
fof(t58_matrixj1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) => k23_matrixj1(A, k8_finseq_1(k4_ordinal1, B, C))=k15_matrixj1(u1_struct_0(A), k23_matrixj1(A, B), k23_matrixj1(A, C))) ) ) ) ) ) ).
fof(t59_matrixj1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) => k23_matrixj1(B, k17_finseq_1(k4_ordinal1, A, C))=k18_matrixj1(u1_struct_0(B), A, k23_matrixj1(B, C))) ) ) ) ) ) ).
fof(t60_matrixj1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  => k20_matrixj1(u1_struct_0(C), k4_struct_0(C), k17_matrixj1(u1_struct_0(C), A, B, k3_matrix_1(C, A), k3_matrix_1(C, B)))=k3_matrix_1(C, k2_xcmplx_0(A, B))) ) ) ) ) ) ).
fof(t61_matrixj1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) => k20_matrixj1(u1_struct_0(A), k4_struct_0(A), k23_matrixj1(A, B))=k3_matrix_1(A, k1_wsierp_1(B))) ) ) ) ).
fof(d9_matrixj1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrixj1(B, u1_struct_0(A)) & m2_finseq_1(B, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_matrixj1(D, u1_struct_0(A)) & m2_finseq_1(D, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  =>  (D=k24_matrixj1(A, B, C) <=>  (k4_finseq_1(D)=k4_finseq_1(B) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) => k2_matrixj1(u1_struct_0(A), D, E)=k6_matrix_3(A, k2_matrixj1(u1_struct_0(A), B, E), k7_partfun1(u1_struct_0(A), C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_matrixj1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrixj1(B, u1_struct_0(A)) & m2_finseq_1(B, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (k10_matrixj1(u1_struct_0(A), k24_matrixj1(A, B, C))=k10_matrixj1(u1_struct_0(A), B) & k11_matrixj1(u1_struct_0(A), k24_matrixj1(A, B, C))=k11_matrixj1(u1_struct_0(A), B)) ) ) ) ) ) ) ).
fof(t63_matrixj1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) => k24_matrixj1(A, k4_matrixj1(u1_struct_0(A), B), C)=k4_matrixj1(u1_struct_0(A), k6_matrix_3(A, B, k7_partfun1(u1_struct_0(A), C, 1)))) ) ) ) ) ) ).
fof(t64_matrixj1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrixj1(B, u1_struct_0(A)) & m2_finseq_1(B, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  =>  (! [C] :  ( (v1_matrixj1(C, u1_struct_0(A)) & m2_finseq_1(C, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(A)) =>  ( (k3_finseq_1(B)=k3_finseq_1(D) & r1_xxreal_0(k3_finseq_1(C), k3_finseq_1(E)))  => k24_matrixj1(A, k3_matrixj1(u1_struct_0(A), B, C), k8_finseq_1(u1_struct_0(A), D, E))=k3_matrixj1(u1_struct_0(A), k24_matrixj1(A, B, D), k24_matrixj1(A, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_matrixj1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_matrixj1(D, u1_struct_0(A)) & m2_finseq_1(D, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  => k2_matrix13(k1_wsierp_1(k10_matrixj1(u1_struct_0(A), D)), k1_wsierp_1(k11_matrixj1(u1_struct_0(A), D)), A, k13_matrixj1(u1_struct_0(A), C, D), B)=k13_matrixj1(u1_struct_0(A), k8_group_1(A, B, C), k24_matrixj1(A, D, k5_finseq_2(u1_struct_0(A), k3_finseq_1(D), B)))) ) ) ) ) ) ) ) ).
fof(d10_matrixj1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrixj1(B, u1_struct_0(A)) & m2_finseq_1(B, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  =>  (! [C] :  ( (v1_matrixj1(C, u1_struct_0(A)) & m2_finseq_1(C, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  =>  (! [D] :  ( (v1_matrixj1(D, u1_struct_0(A)) & m2_finseq_1(D, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  =>  (D=k25_matrixj1(A, B, C) <=>  (k4_finseq_1(D)=k4_finseq_1(B) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) => k2_matrixj1(u1_struct_0(A), D, E)=k3_matrix_3(A, k2_matrixj1(u1_struct_0(A), B, E), k2_matrixj1(u1_struct_0(A), C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_matrixj1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrixj1(B, u1_struct_0(A)) & m2_finseq_1(B, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  =>  (! [C] :  ( (v1_matrixj1(C, u1_struct_0(A)) & m2_finseq_1(C, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  =>  (k10_matrixj1(u1_struct_0(A), k25_matrixj1(A, B, C))=k10_matrixj1(u1_struct_0(A), B) & k11_matrixj1(u1_struct_0(A), k25_matrixj1(A, B, C))=k11_matrixj1(u1_struct_0(A), B)) ) ) ) ) ) ) ).
fof(t67_matrixj1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrixj1(B, u1_struct_0(A)) & m2_finseq_1(B, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  =>  (! [C] :  ( (v1_matrixj1(C, u1_struct_0(A)) & m2_finseq_1(C, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  =>  (! [D] :  ( (v1_matrixj1(D, u1_struct_0(A)) & m2_finseq_1(D, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  =>  (! [E] :  ( (v1_matrixj1(E, u1_struct_0(A)) & m2_finseq_1(E, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  =>  (k3_finseq_1(B)=k3_finseq_1(C) => k25_matrixj1(A, k3_matrixj1(u1_struct_0(A), B, D), k3_matrixj1(u1_struct_0(A), C, E))=k3_matrixj1(u1_struct_0(A), k25_matrixj1(A, B, C), k25_matrixj1(A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_matrixj1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrixj1(C, u1_struct_0(A)) & m2_finseq_1(C, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  => k25_matrixj1(A, k4_matrixj1(u1_struct_0(A), B), C)=k4_matrixj1(u1_struct_0(A), k3_matrix_3(A, B, k2_matrixj1(u1_struct_0(A), C, 1)))) ) ) ) ) ) ).
fof(t69_matrixj1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  => k25_matrixj1(A, k4_matrixj1(u1_struct_0(A), B), k4_matrixj1(u1_struct_0(A), C))=k4_matrixj1(u1_struct_0(A), k3_matrix_3(A, B, C))) ) ) ) ) ) ).
fof(t70_matrixj1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  (! [E] :  ( (v1_matrix_0(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(A))))  => k25_matrixj1(A, k5_matrixj1(u1_struct_0(A), B, D), k5_matrixj1(u1_struct_0(A), C, E))=k5_matrixj1(u1_struct_0(A), k3_matrix_3(A, B, C), k3_matrix_3(A, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t71_matrixj1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  (! [E] :  ( (v1_matrix_0(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(A))))  =>  (! [F] :  ( (v1_matrix_0(F) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(A))))  =>  (! [G] :  ( (v1_matrix_0(G) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(D)=k3_finseq_1(F) &  (k3_finseq_1(E)=k3_finseq_1(G) &  (k1_matrix_0(D)=k1_matrix_0(F) & k1_matrix_0(E)=k1_matrix_0(G)) ) )  => k3_matrix_3(A, k13_matrixj1(u1_struct_0(A), B, k5_matrixj1(u1_struct_0(A), D, E)), k13_matrixj1(u1_struct_0(A), C, k5_matrixj1(u1_struct_0(A), F, G)))=k13_matrixj1(u1_struct_0(A), k3_rlvect_1(A, B, C), k25_matrixj1(A, k5_matrixj1(u1_struct_0(A), D, E), k5_matrixj1(u1_struct_0(A), F, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t72_matrixj1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v2_matrixj1(D, u1_struct_0(A)) & m2_finseq_1(D, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  =>  (! [E] :  ( (v2_matrixj1(E, u1_struct_0(A)) & m2_finseq_1(E, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  =>  ( (k10_matrixj1(u1_struct_0(A), D)=k10_matrixj1(u1_struct_0(A), E) & k11_matrixj1(u1_struct_0(A), D)=k11_matrixj1(u1_struct_0(A), E))  => k3_matrix_3(A, k20_matrixj1(u1_struct_0(A), B, D), k20_matrixj1(u1_struct_0(A), C, E))=k20_matrixj1(u1_struct_0(A), k3_rlvect_1(A, B, C), k25_matrixj1(A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_matrixj1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrixj1(B, u1_struct_0(A)) & m2_finseq_1(B, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  =>  (! [C] :  ( (v1_matrixj1(C, u1_struct_0(A)) & m2_finseq_1(C, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  =>  (! [D] :  ( (v1_matrixj1(D, u1_struct_0(A)) & m2_finseq_1(D, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  =>  (D=k26_matrixj1(A, B, C) <=>  (k4_finseq_1(D)=k4_finseq_1(B) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) => k2_matrixj1(u1_struct_0(A), D, E)=k4_matrix_3(A, k2_matrixj1(u1_struct_0(A), B, E), k2_matrixj1(u1_struct_0(A), C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t73_matrixj1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrixj1(B, u1_struct_0(A)) & m2_finseq_1(B, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  =>  (! [C] :  ( (v1_matrixj1(C, u1_struct_0(A)) & m2_finseq_1(C, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  =>  (k11_matrixj1(u1_struct_0(A), B)=k10_matrixj1(u1_struct_0(A), C) =>  (k10_matrixj1(u1_struct_0(A), k26_matrixj1(A, B, C))=k10_matrixj1(u1_struct_0(A), B) & k11_matrixj1(u1_struct_0(A), k26_matrixj1(A, B, C))=k11_matrixj1(u1_struct_0(A), C)) ) ) ) ) ) ) ) ).
fof(t74_matrixj1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrixj1(B, u1_struct_0(A)) & m2_finseq_1(B, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  =>  (! [C] :  ( (v1_matrixj1(C, u1_struct_0(A)) & m2_finseq_1(C, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  =>  (! [D] :  ( (v1_matrixj1(D, u1_struct_0(A)) & m2_finseq_1(D, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  =>  (! [E] :  ( (v1_matrixj1(E, u1_struct_0(A)) & m2_finseq_1(E, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  =>  (k3_finseq_1(B)=k3_finseq_1(C) => k26_matrixj1(A, k3_matrixj1(u1_struct_0(A), B, D), k3_matrixj1(u1_struct_0(A), C, E))=k3_matrixj1(u1_struct_0(A), k26_matrixj1(A, B, C), k26_matrixj1(A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_matrixj1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrixj1(C, u1_struct_0(A)) & m2_finseq_1(C, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  => k26_matrixj1(A, k4_matrixj1(u1_struct_0(A), B), C)=k4_matrixj1(u1_struct_0(A), k4_matrix_3(A, B, k2_matrixj1(u1_struct_0(A), C, 1)))) ) ) ) ) ) ).
fof(t76_matrixj1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  => k26_matrixj1(A, k4_matrixj1(u1_struct_0(A), B), k4_matrixj1(u1_struct_0(A), C))=k4_matrixj1(u1_struct_0(A), k4_matrix_3(A, B, C))) ) ) ) ) ) ).
fof(t77_matrixj1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  (! [E] :  ( (v1_matrix_0(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(A))))  => k26_matrixj1(A, k5_matrixj1(u1_struct_0(A), B, D), k5_matrixj1(u1_struct_0(A), C, E))=k5_matrixj1(u1_struct_0(A), k4_matrix_3(A, B, C), k4_matrix_3(A, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t78_matrixj1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  (! [E] :  ( (v1_matrix_0(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(A))))  =>  ( (k1_matrix_0(B)=k3_finseq_1(D) & k1_matrix_0(C)=k3_finseq_1(E))  => k4_matrix_3(A, k13_matrixj1(u1_struct_0(A), k4_struct_0(A), k5_matrixj1(u1_struct_0(A), B, C)), k13_matrixj1(u1_struct_0(A), k4_struct_0(A), k5_matrixj1(u1_struct_0(A), D, E)))=k13_matrixj1(u1_struct_0(A), k4_struct_0(A), k26_matrixj1(A, k5_matrixj1(u1_struct_0(A), B, C), k5_matrixj1(u1_struct_0(A), D, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t79_matrixj1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v2_matrixj1(B, u1_struct_0(A)) & m2_finseq_1(B, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  =>  (! [C] :  ( (v2_matrixj1(C, u1_struct_0(A)) & m2_finseq_1(C, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  =>  (k11_matrixj1(u1_struct_0(A), B)=k10_matrixj1(u1_struct_0(A), C) => k4_matrix_3(A, k20_matrixj1(u1_struct_0(A), k4_struct_0(A), B), k20_matrixj1(u1_struct_0(A), k4_struct_0(A), C))=k13_matrixj1(u1_struct_0(A), k4_struct_0(A), k26_matrixj1(A, B, C))) ) ) ) ) ) ) ).
fof(dt_k1_matrixj1, axiom,  (! [A, B] :  ( (m1_finseq_1(A, k4_ordinal1) & v7_ordinal1(B))  => m1_subset_1(k1_matrixj1(A, B), k4_ordinal1)) ) ).
fof(dt_k2_matrixj1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v1_matrixj1(B, A) & m1_finseq_1(B, k3_finseq_2(k3_finseq_2(A)))) )  =>  (v1_matrix_0(k2_matrixj1(A, B, C)) & m2_finseq_1(k2_matrixj1(A, B, C), k3_finseq_2(A))) ) ) ).
fof(redefinition_k2_matrixj1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v1_matrixj1(B, A) & m1_finseq_1(B, k3_finseq_2(k3_finseq_2(A)))) )  => k2_matrixj1(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k3_matrixj1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_matrixj1(B, A) & m1_finseq_1(B, k3_finseq_2(k3_finseq_2(A))))  &  (v1_matrixj1(C, A) & m1_finseq_1(C, k3_finseq_2(k3_finseq_2(A)))) ) )  =>  (v1_matrixj1(k3_matrixj1(A, B, C), A) & m2_finseq_1(k3_matrixj1(A, B, C), k3_finseq_2(k3_finseq_2(A)))) ) ) ).
fof(redefinition_k3_matrixj1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_matrixj1(B, A) & m1_finseq_1(B, k3_finseq_2(k3_finseq_2(A))))  &  (v1_matrixj1(C, A) & m1_finseq_1(C, k3_finseq_2(k3_finseq_2(A)))) ) )  => k3_matrixj1(A, B, C)=k7_finseq_1(B, C)) ) ).
fof(dt_k4_matrixj1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(A))) )  =>  (v1_matrixj1(k4_matrixj1(A, B), A) & m2_finseq_1(k4_matrixj1(A, B), k3_finseq_2(k3_finseq_2(A)))) ) ) ).
fof(redefinition_k4_matrixj1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(A))) )  => k4_matrixj1(A, B)=k5_finseq_1(B)) ) ).
fof(dt_k5_matrixj1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(A)))  &  (v1_matrix_0(C) & m1_finseq_1(C, k3_finseq_2(A))) ) )  =>  (v1_matrixj1(k5_matrixj1(A, B, C), A) & m2_finseq_1(k5_matrixj1(A, B, C), k3_finseq_2(k3_finseq_2(A)))) ) ) ).
fof(redefinition_k5_matrixj1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(A)))  &  (v1_matrix_0(C) & m1_finseq_1(C, k3_finseq_2(A))) ) )  => k5_matrixj1(A, B, C)=k10_finseq_1(B, C)) ) ).
fof(dt_k6_matrixj1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  (v1_matrixj1(C, A) & m1_finseq_1(C, k3_finseq_2(k3_finseq_2(A)))) ) )  =>  (v1_matrixj1(k6_matrixj1(A, B, C), A) & m2_finseq_1(k6_matrixj1(A, B, C), k3_finseq_2(k3_finseq_2(A)))) ) ) ).
fof(redefinition_k6_matrixj1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  (v1_matrixj1(C, A) & m1_finseq_1(C, k3_finseq_2(k3_finseq_2(A)))) ) )  => k6_matrixj1(A, B, C)=k16_finseq_1(B, C)) ) ).
fof(dt_k7_matrixj1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  (v1_matrixj1(C, A) & m1_finseq_1(C, k3_finseq_2(k3_finseq_2(A)))) ) )  =>  (v1_matrixj1(k7_matrixj1(A, B, C), A) & m2_finseq_1(k7_matrixj1(A, B, C), k3_finseq_2(k3_finseq_2(A)))) ) ) ).
fof(redefinition_k7_matrixj1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  (v1_matrixj1(C, A) & m1_finseq_1(C, k3_finseq_2(k3_finseq_2(A)))) ) )  => k7_matrixj1(A, B, C)=k1_rfinseq(B, C)) ) ).
fof(dt_k8_matrixj1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_matrixj1(B, A) & m1_finseq_1(B, k3_finseq_2(k3_finseq_2(A)))) )  => m2_finseq_1(k8_matrixj1(A, B), k4_ordinal1)) ) ).
fof(dt_k9_matrixj1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_matrixj1(B, A) & m1_finseq_1(B, k3_finseq_2(k3_finseq_2(A)))) )  => m2_finseq_1(k9_matrixj1(A, B), k4_ordinal1)) ) ).
fof(dt_k10_matrixj1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_matrixj1(B, A) & m1_finseq_1(B, k3_finseq_2(k3_finseq_2(A)))) )  => m2_finseq_2(k10_matrixj1(A, B), k4_ordinal1, k4_finseq_2(k3_finseq_1(B), k4_ordinal1))) ) ).
fof(redefinition_k10_matrixj1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_matrixj1(B, A) & m1_finseq_1(B, k3_finseq_2(k3_finseq_2(A)))) )  => k10_matrixj1(A, B)=k8_matrixj1(A, B)) ) ).
fof(dt_k11_matrixj1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_matrixj1(B, A) & m1_finseq_1(B, k3_finseq_2(k3_finseq_2(A)))) )  => m2_finseq_2(k11_matrixj1(A, B), k4_ordinal1, k4_finseq_2(k3_finseq_1(B), k4_ordinal1))) ) ).
fof(redefinition_k11_matrixj1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_matrixj1(B, A) & m1_finseq_1(B, k3_finseq_2(k3_finseq_2(A)))) )  => k11_matrixj1(A, B)=k9_matrixj1(A, B)) ) ).
fof(dt_k12_matrixj1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (v1_matrixj1(C, A) & m1_finseq_1(C, k3_finseq_2(k3_finseq_2(A)))) ) )  =>  (v1_matrix_0(k12_matrixj1(A, B, C)) & m2_finseq_1(k12_matrixj1(A, B, C), k3_finseq_2(A))) ) ) ).
fof(dt_k13_matrixj1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (v1_matrixj1(C, A) & m1_finseq_1(C, k3_finseq_2(k3_finseq_2(A)))) ) )  =>  (v1_matrix_0(k13_matrixj1(A, B, C)) &  (v2_matrix_0(k13_matrixj1(A, B, C), A, k1_wsierp_1(k10_matrixj1(A, C)), k1_wsierp_1(k11_matrixj1(A, C))) & m2_finseq_1(k13_matrixj1(A, B, C), k3_finseq_2(A))) ) ) ) ).
fof(redefinition_k13_matrixj1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (v1_matrixj1(C, A) & m1_finseq_1(C, k3_finseq_2(k3_finseq_2(A)))) ) )  => k13_matrixj1(A, B, C)=k12_matrixj1(A, B, C)) ) ).
fof(dt_k14_matrixj1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v2_matrixj1(B, A) & m1_finseq_1(B, k3_finseq_2(k3_finseq_2(A)))) )  =>  (v1_matrix_0(k14_matrixj1(A, B, C)) &  (v2_matrix_0(k14_matrixj1(A, B, C), A, k3_finseq_1(k2_matrixj1(A, B, C)), k3_finseq_1(k2_matrixj1(A, B, C))) & m2_finseq_1(k14_matrixj1(A, B, C), k3_finseq_2(A))) ) ) ) ).
fof(redefinition_k14_matrixj1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v2_matrixj1(B, A) & m1_finseq_1(B, k3_finseq_2(k3_finseq_2(A)))) )  => k14_matrixj1(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k15_matrixj1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v2_matrixj1(B, A) & m1_finseq_1(B, k3_finseq_2(k3_finseq_2(A))))  &  (v2_matrixj1(C, A) & m1_finseq_1(C, k3_finseq_2(k3_finseq_2(A)))) ) )  =>  (v2_matrixj1(k15_matrixj1(A, B, C), A) & m2_finseq_1(k15_matrixj1(A, B, C), k3_finseq_2(k3_finseq_2(A)))) ) ) ).
fof(redefinition_k15_matrixj1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v2_matrixj1(B, A) & m1_finseq_1(B, k3_finseq_2(k3_finseq_2(A))))  &  (v2_matrixj1(C, A) & m1_finseq_1(C, k3_finseq_2(k3_finseq_2(A)))) ) )  => k15_matrixj1(A, B, C)=k7_finseq_1(B, C)) ) ).
fof(dt_k16_matrixj1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  (v1_matrix_0(C) &  (v2_matrix_0(C, A, B, B) & m1_finseq_1(C, k3_finseq_2(A))) ) ) )  =>  (v2_matrixj1(k16_matrixj1(A, B, C), A) & m2_finseq_1(k16_matrixj1(A, B, C), k3_finseq_2(k3_finseq_2(A)))) ) ) ).
fof(redefinition_k16_matrixj1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  (v1_matrix_0(C) &  (v2_matrix_0(C, A, B, B) & m1_finseq_1(C, k3_finseq_2(A))) ) ) )  => k16_matrixj1(A, B, C)=k5_finseq_1(C)) ) ).
fof(dt_k17_matrixj1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  ( (v1_matrix_0(D) &  (v2_matrix_0(D, A, B, B) & m1_finseq_1(D, k3_finseq_2(A))) )  &  (v1_matrix_0(E) &  (v2_matrix_0(E, A, C, C) & m1_finseq_1(E, k3_finseq_2(A))) ) ) ) ) )  =>  (v2_matrixj1(k17_matrixj1(A, B, C, D, E), A) & m2_finseq_1(k17_matrixj1(A, B, C, D, E), k3_finseq_2(k3_finseq_2(A)))) ) ) ).
fof(redefinition_k17_matrixj1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  ( (v1_matrix_0(D) &  (v2_matrix_0(D, A, B, B) & m1_finseq_1(D, k3_finseq_2(A))) )  &  (v1_matrix_0(E) &  (v2_matrix_0(E, A, C, C) & m1_finseq_1(E, k3_finseq_2(A))) ) ) ) ) )  => k17_matrixj1(A, B, C, D, E)=k10_finseq_1(D, E)) ) ).
fof(dt_k18_matrixj1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  (v2_matrixj1(C, A) & m1_finseq_1(C, k3_finseq_2(k3_finseq_2(A)))) ) )  =>  (v2_matrixj1(k18_matrixj1(A, B, C), A) & m2_finseq_1(k18_matrixj1(A, B, C), k3_finseq_2(k3_finseq_2(A)))) ) ) ).
fof(redefinition_k18_matrixj1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  (v2_matrixj1(C, A) & m1_finseq_1(C, k3_finseq_2(k3_finseq_2(A)))) ) )  => k18_matrixj1(A, B, C)=k16_finseq_1(B, C)) ) ).
fof(dt_k19_matrixj1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  (v2_matrixj1(C, A) & m1_finseq_1(C, k3_finseq_2(k3_finseq_2(A)))) ) )  =>  (v2_matrixj1(k19_matrixj1(A, B, C), A) & m2_finseq_1(k19_matrixj1(A, B, C), k3_finseq_2(k3_finseq_2(A)))) ) ) ).
fof(redefinition_k19_matrixj1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  (v2_matrixj1(C, A) & m1_finseq_1(C, k3_finseq_2(k3_finseq_2(A)))) ) )  => k19_matrixj1(A, B, C)=k1_rfinseq(B, C)) ) ).
fof(dt_k20_matrixj1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (v2_matrixj1(C, A) & m1_finseq_1(C, k3_finseq_2(k3_finseq_2(A)))) ) )  =>  (v1_matrix_0(k20_matrixj1(A, B, C)) &  (v2_matrix_0(k20_matrixj1(A, B, C), A, k1_wsierp_1(k10_matrixj1(A, C)), k1_wsierp_1(k10_matrixj1(A, C))) & m2_finseq_1(k20_matrixj1(A, B, C), k3_finseq_2(A))) ) ) ) ).
fof(redefinition_k20_matrixj1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (v2_matrixj1(C, A) & m1_finseq_1(C, k3_finseq_2(k3_finseq_2(A)))) ) )  => k20_matrixj1(A, B, C)=k12_matrixj1(A, B, C)) ) ).
fof(dt_k21_matrixj1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (v2_matrixj1(B, u1_struct_0(A)) & m1_finseq_1(B, k3_finseq_2(k3_finseq_2(u1_struct_0(A))))) )  => m2_finseq_1(k21_matrixj1(A, B), u1_struct_0(A))) ) ).
fof(dt_k22_matrixj1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (v2_matrixj1(B, u1_struct_0(A)) & m1_finseq_1(B, k3_finseq_2(k3_finseq_2(u1_struct_0(A))))) )  => m2_finseq_2(k22_matrixj1(A, B), u1_struct_0(A), k4_finseq_2(k3_finseq_1(B), u1_struct_0(A)))) ) ).
fof(redefinition_k22_matrixj1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (v2_matrixj1(B, u1_struct_0(A)) & m1_finseq_1(B, k3_finseq_2(k3_finseq_2(u1_struct_0(A))))) )  => k22_matrixj1(A, B)=k21_matrixj1(A, B)) ) ).
fof(dt_k23_matrixj1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  & m1_finseq_1(B, k4_ordinal1))  =>  (v2_matrixj1(k23_matrixj1(A, B), u1_struct_0(A)) & m2_finseq_1(k23_matrixj1(A, B), k3_finseq_2(k3_finseq_2(u1_struct_0(A))))) ) ) ).
fof(dt_k24_matrixj1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_matrixj1(B, u1_struct_0(A)) & m1_finseq_1(B, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  & m1_finseq_1(C, u1_struct_0(A))) )  =>  (v1_matrixj1(k24_matrixj1(A, B, C), u1_struct_0(A)) & m2_finseq_1(k24_matrixj1(A, B, C), k3_finseq_2(k3_finseq_2(u1_struct_0(A))))) ) ) ).
fof(dt_k25_matrixj1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_matrixj1(B, u1_struct_0(A)) & m1_finseq_1(B, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  &  (v1_matrixj1(C, u1_struct_0(A)) & m1_finseq_1(C, k3_finseq_2(k3_finseq_2(u1_struct_0(A))))) ) )  =>  (v1_matrixj1(k25_matrixj1(A, B, C), u1_struct_0(A)) & m2_finseq_1(k25_matrixj1(A, B, C), k3_finseq_2(k3_finseq_2(u1_struct_0(A))))) ) ) ).
fof(dt_k26_matrixj1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_matrixj1(B, u1_struct_0(A)) & m1_finseq_1(B, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  &  (v1_matrixj1(C, u1_struct_0(A)) & m1_finseq_1(C, k3_finseq_2(k3_finseq_2(u1_struct_0(A))))) ) )  =>  (v1_matrixj1(k26_matrixj1(A, B, C), u1_struct_0(A)) & m2_finseq_1(k26_matrixj1(A, B, C), k3_finseq_2(k3_finseq_2(u1_struct_0(A))))) ) ) ).
fof(rc1_matrixj2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_finseq_1(B, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) &  (v1_funcop_1(B) &  (v2_funcop_1(B) & v1_matrixj2(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_matrixj2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_finseq_1(B, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) =>  (v1_matrixj2(B, A) => v2_matrixj1(B, u1_struct_0(A))) ) ) ) ) ).
fof(rc2_matrixj2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (? [C] :  (m1_matrixj2(C, A, B) &  (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_finseq_1(C) &  (v2_finseq_1(C) &  (v1_funcop_1(C) &  (v2_funcop_1(C) &  (v1_matrixj1(C, u1_struct_0(A)) &  (v2_matrixj1(C, u1_struct_0(A)) & v1_matrixj2(C, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_matrixj2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_finseq_1(B, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) &  (v1_funcop_1(B) &  (v2_funcop_1(B) &  (v1_matrixj1(B, u1_struct_0(A)) &  (v2_matrixj1(B, u1_struct_0(A)) & v1_matrixj2(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc4_matrixj2, axiom,  (! [A, B] :  ( (l6_algstr_0(A) &  ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A)) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)))) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v1_partfun1(C, u1_struct_0(B)) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(B)) & v2_matrixj2(C, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc5_matrixj2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)))) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v1_partfun1(C, u1_struct_0(B)) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(B)) &  (v13_vectsp_1(C, B, B) &  (v1_mod_2(C, A, B, B) & v2_matrixj2(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_matrixj2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  (D=k1_matrixj2(A, B, C) <=>  (k3_finseq_1(D)=C &  (k1_matrix_0(D)=C &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (r2_hidden(k4_tarski(E, F), k2_matrix_0(D)) =>  ( (E=F => k3_matrix_0(u1_struct_0(A), D, E, F)=B)  &  ( (k1_nat_1(E, 1)=F => k3_matrix_0(u1_struct_0(A), D, E, F)=k1_group_1(A))  &  ~ ( ( ~ (E=F)  &  ( ~ (k1_nat_1(E, 1)=F)  &  ~ (k3_matrix_0(u1_struct_0(A), D, E, F)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_matrixj2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k13_matrix_3(A, B, k2_matrixj2(B, C, A))=k5_finseq_2(u1_struct_0(B), A, C)) ) ) ) ) ) ).
fof(t2_matrixj2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k12_matrix_3(A, B, k2_matrixj2(B, C, A))=k1_laplace(B, k4_group_1(B), C, A)) ) ) ) ) ) ).
fof(t3_matrixj2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (v1_matrix_6(k2_matrixj2(B, C, A), A, B) <=>  ~ ( ( ~ (A=k5_numbers)  & C=k4_struct_0(B)) ) ) ) ) ) ) ) ) ).
fof(t4_matrixj2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (r2_tarski(A, k2_finseq_1(B)) =>  (A=B | k7_matrix_0(u1_struct_0(C), k2_matrixj2(C, D, B), A)=k4_fvsum_1(k1_matrix_0(k3_matrix_1(C, B)), C, k10_fvsum_1(k1_matrix_0(k3_matrix_1(C, B)), C, k7_matrix_0(u1_struct_0(C), k3_matrix_1(C, B), A), D), k7_matrix_0(u1_struct_0(C), k3_matrix_1(C, B), k1_nat_1(A, 1)))) ) ) ) ) ) ) ) ) ) ).
fof(t5_matrixj2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k7_matrix_0(u1_struct_0(B), k2_matrixj2(B, C, A), A)=k10_fvsum_1(k1_matrix_0(k3_matrix_1(B, A)), B, k7_matrix_0(u1_struct_0(B), k3_matrix_1(B, A), A), C)) ) ) ) ) ) ).
fof(t6_matrixj2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m2_finseq_2(E, u1_struct_0(C), k4_finseq_2(B, u1_struct_0(C))) =>  (r2_tarski(A, k2_finseq_1(B)) =>  ( ( ~ (A=B)  => k13_fvsum_1(C, k7_matrix_0(u1_struct_0(C), k2_matrixj2(C, D, B), A), E)=k3_rlvect_1(C, k8_group_1(C, D, k7_partfun1(u1_struct_0(C), E, A)), k7_partfun1(u1_struct_0(C), E, k1_nat_1(A, 1))))  &  (A=B => k13_fvsum_1(C, k7_matrix_0(u1_struct_0(C), k2_matrixj2(C, D, B), A), E)=k8_group_1(C, D, k7_partfun1(u1_struct_0(C), E, A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_matrixj2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m2_finseq_2(E, u1_struct_0(C), k4_finseq_2(B, u1_struct_0(C))) =>  (r2_tarski(A, k2_finseq_1(B)) =>  ( (A=1 => k13_fvsum_1(C, k8_matrix_0(u1_struct_0(C), k2_matrixj2(C, D, B), A), E)=k8_group_1(C, D, k7_partfun1(u1_struct_0(C), E, A)))  &  ( ~ (A=1)  => k13_fvsum_1(C, k8_matrix_0(u1_struct_0(C), k2_matrixj2(C, D, B), A), E)=k3_rlvect_1(C, k8_group_1(C, D, k7_partfun1(u1_struct_0(C), E, A)), k7_partfun1(u1_struct_0(C), E, k6_xcmplx_0(A, 1)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_matrixj2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  ~ ( ( ~ (C=k4_struct_0(B))  &  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ~ ( (k1_matrix_6(A, B, k2_matrixj2(B, C, A))=D &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (r2_hidden(k4_tarski(E, F), k2_matrix_0(D)) =>  ( ( ~ (r1_xxreal_0(E, F))  => k3_matrix_0(u1_struct_0(B), D, E, F)=k4_struct_0(B))  &  (r1_xxreal_0(E, F) => k3_matrix_0(u1_struct_0(B), D, E, F)=k4_algstr_0(B, k1_laplace(B, k4_group_1(B), k4_algstr_0(B, k9_algstr_0(B, C)), k1_nat_1(k7_nat_d(F, E), 1)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_matrixj2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k5_matrlin2(A, A, B, k2_matrixj2(B, D, A), k2_matrix13(A, A, B, k3_matrix_1(B, A), C))=k2_matrixj2(B, k3_rlvect_1(B, D, C), A)) ) ) ) ) ) ) ) ).
fof(d2_matrixj2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) =>  (v1_matrixj2(B, A) <=>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(C, k4_finseq_1(B)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v7_ordinal1(E) =>  ~ (k1_funct_1(B, C)=k2_matrixj2(A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_matrixj2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_matrixj2(C, A) & m2_finseq_1(C, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  =>  (m1_matrixj2(C, A, B) <=>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(D, k4_finseq_1(C)) &  (! [E] :  (v7_ordinal1(E) =>  ~ (k14_matrixj1(u1_struct_0(A), C, D)=k2_matrixj2(A, B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_matrixj2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => m1_matrixj2(k1_xboole_0, A, B)) ) ) ) ).
fof(t11_matrixj2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => m1_matrixj2(k16_matrixj1(u1_struct_0(B), A, k2_matrixj2(B, C, A)), B, C)) ) ) ) ) ) ).
fof(t12_matrixj2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_matrixj2(D, A, C) => m1_matrixj2(k25_matrixj1(A, D, k24_matrixj1(A, k23_matrixj1(A, k10_matrixj1(u1_struct_0(A), D)), k5_finseq_2(u1_struct_0(A), k3_finseq_1(D), B))), A, k3_rlvect_1(A, C, B))) ) ) ) ) ) ) ) ).
fof(d4_matrixj2, axiom,  (! [A] :  (l6_algstr_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))))) )  =>  (v2_matrixj2(C, A, B) <=>  (? [D] :  (v7_ordinal1(D) &  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => k3_funct_2(u1_struct_0(B), u1_struct_0(B), k1_vectsp11(B, C, D), E)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_matrixj2, axiom,  (! [A] :  (l6_algstr_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))))) )  =>  (v2_matrixj2(C, A, B) <=>  (? [D] :  (v7_ordinal1(D) & r2_funct_2(u1_struct_0(B), u1_struct_0(B), k1_vectsp11(B, C, D), k6_grcat_1(B, B))) ) ) ) ) ) ) ) ) ).
fof(t14_matrixj2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, B) &  (v9_vectsp_1(C, B) &  (v10_vectsp_1(C, B) &  (v11_vectsp_1(C, B) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, B)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(C), u1_struct_0(C)) &  (v13_vectsp_1(D, C, C) &  (v1_mod_2(D, B, C, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(C))))) ) ) )  =>  (v1_funct_1(k8_matrlin2(B, C, C, k1_ranknull(B, C, C, k1_vectsp11(C, D, A)), D)) &  (v1_funct_2(k8_matrlin2(B, C, C, k1_ranknull(B, C, C, k1_vectsp11(C, D, A)), D), u1_struct_0(k1_ranknull(B, C, C, k1_vectsp11(C, D, A))), u1_struct_0(k1_ranknull(B, C, C, k1_vectsp11(C, D, A)))) &  (v13_vectsp_1(k8_matrlin2(B, C, C, k1_ranknull(B, C, C, k1_vectsp11(C, D, A)), D), k1_ranknull(B, C, C, k1_vectsp11(C, D, A)), k1_ranknull(B, C, C, k1_vectsp11(C, D, A))) &  (v1_mod_2(k8_matrlin2(B, C, C, k1_ranknull(B, C, C, k1_vectsp11(C, D, A)), D), B, k1_ranknull(B, C, C, k1_vectsp11(C, D, A)), k1_ranknull(B, C, C, k1_vectsp11(C, D, A))) &  (v2_matrixj2(k8_matrlin2(B, C, C, k1_ranknull(B, C, C, k1_vectsp11(C, D, A)), D), B, k1_ranknull(B, C, C, k1_vectsp11(C, D, A))) & m1_subset_1(k8_matrlin2(B, C, C, k1_ranknull(B, C, C, k1_vectsp11(C, D, A)), D), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_ranknull(B, C, C, k1_vectsp11(C, D, A))), u1_struct_0(k1_ranknull(B, C, C, k1_vectsp11(C, D, A))))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_matrixj2, axiom,  (! [A] :  (l6_algstr_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(B)) &  (v2_matrixj2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))))) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (D=k9_matrixj2(A, B, C) <=>  (r2_funct_2(u1_struct_0(B), u1_struct_0(B), k1_vectsp11(B, C, D), k6_grcat_1(B, B)) &  (! [E] :  (v7_ordinal1(E) =>  (r2_funct_2(u1_struct_0(B), u1_struct_0(B), k1_vectsp11(B, C, E), k6_grcat_1(B, B)) => r1_xxreal_0(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_matrixj2, axiom,  (! [A] :  (l6_algstr_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(B)) &  (v2_matrixj2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))))) ) )  =>  (k9_matrixj2(A, B, C)=k5_numbers <=> k2_struct_0(B)=k6_domain_1(u1_struct_0(B), k4_struct_0(B))) ) ) ) ) ) ) ).
fof(t16_matrixj2, axiom,  (! [A] :  (l6_algstr_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(B)) &  (v2_matrixj2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))))) ) )  =>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(k9_matrixj2(A, B, C), E))  & k3_funct_2(u1_struct_0(B), u1_struct_0(B), k1_vectsp11(B, C, E), D)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_matrixj2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(B)) &  (v2_matrixj2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))))) ) )  =>  ( (v1_funct_1(k7_matrlin2(A, B, B, C, D)) &  (v1_funct_2(k7_matrlin2(A, B, B, C, D), u1_struct_0(C), u1_struct_0(C)) & m1_subset_1(k7_matrlin2(A, B, B, C, D), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(C))))) )  =>  (v1_funct_1(k7_matrlin2(A, B, B, C, D)) &  (v1_funct_2(k7_matrlin2(A, B, B, C, D), u1_struct_0(C), u1_struct_0(C)) &  (v2_matrixj2(k7_matrlin2(A, B, B, C, D), A, C) & m1_subset_1(k7_matrlin2(A, B, B, C, D), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(C))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_matrixj2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, B) &  (v9_vectsp_1(C, B) &  (v10_vectsp_1(C, B) &  (v11_vectsp_1(C, B) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, B)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_vectsp_4(D, B, C) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(C)) &  (v13_vectsp_1(E, C, C) &  (v1_mod_2(E, B, C, C) &  (v2_matrixj2(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(C))))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k3_ranknull(B, C, C, k1_vectsp11(C, E, A))), u1_struct_0(k3_ranknull(B, C, C, k1_vectsp11(C, E, A)))) &  (v2_matrixj2(F, B, k3_ranknull(B, C, C, k1_vectsp11(C, E, A))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_ranknull(B, C, C, k1_vectsp11(C, E, A))), u1_struct_0(k3_ranknull(B, C, C, k1_vectsp11(C, E, A))))))) ) )  =>  ( (r1_funct_2(u1_struct_0(k3_ranknull(B, C, C, k1_vectsp11(C, E, A))), u1_struct_0(k3_ranknull(B, C, C, k1_vectsp11(C, E, A))), u1_struct_0(k3_ranknull(B, C, C, k1_vectsp11(C, E, A))), u1_struct_0(C), F, k8_matrlin2(B, C, C, k3_ranknull(B, C, C, k1_vectsp11(C, E, A)), E)) & r1_xxreal_0(A, k9_matrixj2(B, C, E)))  => k2_xcmplx_0(k9_matrixj2(B, k3_ranknull(B, C, C, k1_vectsp11(C, E, A)), F), A)=k9_matrixj2(B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_matrixj2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, B) &  (v9_vectsp_1(C, B) &  (v10_vectsp_1(C, B) &  (v11_vectsp_1(C, B) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, B) & l1_vectsp_1(C, B)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v8_vectsp_1(D, B) &  (v9_vectsp_1(D, B) &  (v10_vectsp_1(D, B) &  (v11_vectsp_1(D, B) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v1_matrlin(D, B) & l1_vectsp_1(D, B)) ) ) ) ) ) ) ) ) )  =>  (! [E] :  (m1_vectsp_4(E, B, C) =>  (! [F] :  (m1_vectsp_4(F, B, C) =>  (! [G] :  (m1_vectsp_4(G, B, D) =>  (! [H] :  (m1_vectsp_4(H, B, D) =>  (! [I] :  (m1_matrlin(I, B, C) =>  (! [J] :  (m2_finseq_1(J, u1_struct_0(D)) =>  (! [K] :  (m1_matrlin(K, B, E) =>  (! [L] :  (m1_matrlin(L, B, F) =>  (! [M] :  (m2_finseq_1(M, u1_struct_0(G)) =>  (! [N] :  (m2_finseq_1(N, u1_struct_0(H)) =>  (! [O] :  ( (v1_matrix_0(O) &  (v2_matrix_0(O, u1_struct_0(B), k3_finseq_1(I), k3_finseq_1(J)) & m2_finseq_1(O, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [P] :  ( (v1_matrix_0(P) &  (v2_matrix_0(P, u1_struct_0(B), k3_finseq_1(K), k3_finseq_1(M)) & m2_finseq_1(P, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [Q] :  ( (v1_matrix_0(Q) &  (v2_matrix_0(Q, u1_struct_0(B), k3_finseq_1(L), k3_finseq_1(N)) & m2_finseq_1(Q, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (I=k7_finseq_1(K, L) &  (J=k7_finseq_1(M, N) &  (O=k13_matrixj1(u1_struct_0(B), k4_struct_0(B), k5_matrixj1(u1_struct_0(B), P, Q)) &  (k1_matrix_0(P)=k3_finseq_1(M) & k1_matrix_0(Q)=k3_finseq_1(N)) ) ) )  =>  ( (r2_tarski(A, k4_finseq_1(K)) => k3_funct_2(u1_struct_0(C), u1_struct_0(D), k4_matrlin2(B, C, D, I, J, O), k7_partfun1(u1_struct_0(C), I, A))=k3_funct_2(u1_struct_0(E), u1_struct_0(G), k4_matrlin2(B, E, G, K, M, P), k7_partfun1(u1_struct_0(E), K, A)))  &  (r2_tarski(A, k4_finseq_1(L)) => k3_funct_2(u1_struct_0(C), u1_struct_0(D), k4_matrlin2(B, C, D, I, J, O), k7_partfun1(u1_struct_0(C), I, k1_nat_1(A, k3_finseq_1(K))))=k3_funct_2(u1_struct_0(F), u1_struct_0(H), k4_matrlin2(B, F, H, L, N, Q), k7_partfun1(u1_struct_0(F), L, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_matrixj2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_matrlin(D, A, B) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(C)) =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(A), k3_finseq_1(D), k3_finseq_1(E)) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(A)))) )  =>  (! [G] :  ( (v1_matrixj1(G, u1_struct_0(A)) & m2_finseq_1(G, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  =>  (F=k13_matrixj1(u1_struct_0(A), k4_struct_0(A), G) =>  (! [H] :  (v7_ordinal1(H) =>  (! [I] :  (v7_ordinal1(I) =>  ( (r2_tarski(H, k4_finseq_1(D)) & I=k1_matrixj1(k10_matrixj1(u1_struct_0(A), G), H))  =>  (k3_funct_2(u1_struct_0(B), u1_struct_0(C), k4_matrlin2(A, B, C, D, E, F), k7_partfun1(u1_struct_0(B), D, H))=k4_rlvect_1(C, k5_matrlin(A, C, k7_matrix_0(u1_struct_0(A), k2_matrixj1(u1_struct_0(A), G, I), k7_nat_d(H, k1_wsierp_1(k10_matrixj1(u1_struct_0(A), k6_matrixj1(u1_struct_0(A), k7_nat_d(I, 1), G))))), k2_rfinseq(u1_struct_0(C), k1_wsierp_1(k11_matrixj1(u1_struct_0(A), k6_matrixj1(u1_struct_0(A), k7_nat_d(I, 1), G))), k17_finseq_1(u1_struct_0(C), k1_wsierp_1(k11_matrixj1(u1_struct_0(A), k6_matrixj1(u1_struct_0(A), I, G))), E)))) & k3_finseq_1(k2_rfinseq(u1_struct_0(C), k1_wsierp_1(k11_matrixj1(u1_struct_0(A), k6_matrixj1(u1_struct_0(A), k7_nat_d(I, 1), G))), k17_finseq_1(u1_struct_0(C), k1_wsierp_1(k11_matrixj1(u1_struct_0(A), k6_matrixj1(u1_struct_0(A), I, G))), E)))=k1_matrix_0(k2_matrixj1(u1_struct_0(A), G, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_matrixj2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(C)) =>  (r2_tarski(k3_finseq_1(D), k4_finseq_1(D)) => k4_rlvect_1(C, k5_matrlin(A, C, k7_matrix_0(u1_struct_0(A), k2_matrixj2(A, B, k3_finseq_1(D)), k3_finseq_1(D)), D))=k3_vectsp_1(A, C, B, k7_partfun1(u1_struct_0(C), D, k3_finseq_1(D)))) ) ) ) ) ) ) ) ) ).
fof(t22_matrixj2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v8_vectsp_1(D, B) &  (v9_vectsp_1(D, B) &  (v10_vectsp_1(D, B) &  (v11_vectsp_1(D, B) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v1_matrlin(D, B) & l1_vectsp_1(D, B)) ) ) ) ) ) ) ) ) )  =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(D)) =>  (r2_tarski(A, k4_finseq_1(E)) =>  (A=k3_finseq_1(E) | k4_rlvect_1(D, k5_matrlin(B, D, k7_matrix_0(u1_struct_0(B), k2_matrixj2(B, C, k3_finseq_1(E)), A), E))=k3_rlvect_1(D, k3_vectsp_1(B, D, C, k7_partfun1(u1_struct_0(D), E, A)), k7_partfun1(u1_struct_0(D), E, k1_nat_1(A, 1)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_matrixj2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v8_vectsp_1(D, B) &  (v9_vectsp_1(D, B) &  (v10_vectsp_1(D, B) &  (v11_vectsp_1(D, B) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v1_matrlin(D, B) & l1_vectsp_1(D, B)) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v13_algstr_0(E) &  (v8_vectsp_1(E, B) &  (v9_vectsp_1(E, B) &  (v10_vectsp_1(E, B) &  (v11_vectsp_1(E, B) &  (v2_rlvect_1(E) &  (v3_rlvect_1(E) &  (v4_rlvect_1(E) &  (v1_matrlin(E, B) & l1_vectsp_1(E, B)) ) ) ) ) ) ) ) ) )  =>  (! [F] :  (m1_matrlin(F, B, D) =>  (! [G] :  (m2_finseq_1(G, u1_struct_0(E)) =>  (! [H] :  ( (v1_matrix_0(H) &  (v2_matrix_0(H, u1_struct_0(B), k3_finseq_1(F), k3_finseq_1(G)) & m2_finseq_1(H, k3_finseq_2(u1_struct_0(B)))) )  =>  (H=k2_matrixj2(B, C, A) =>  (! [I] :  (v7_ordinal1(I) =>  (r2_tarski(I, k4_finseq_1(F)) =>  ( (I=k3_finseq_1(F) => k3_funct_2(u1_struct_0(D), u1_struct_0(E), k4_matrlin2(B, D, E, F, G, H), k7_partfun1(u1_struct_0(D), F, I))=k3_vectsp_1(B, E, C, k7_partfun1(u1_struct_0(E), G, I)))  &  ( ~ (I=k3_finseq_1(F))  => k3_funct_2(u1_struct_0(D), u1_struct_0(E), k4_matrlin2(B, D, E, F, G, H), k7_partfun1(u1_struct_0(D), F, I))=k3_rlvect_1(E, k3_vectsp_1(B, E, C, k7_partfun1(u1_struct_0(E), G, I)), k7_partfun1(u1_struct_0(E), G, k1_nat_1(I, 1)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_matrixj2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v8_vectsp_1(D, A) &  (v9_vectsp_1(D, A) &  (v10_vectsp_1(D, A) &  (v11_vectsp_1(D, A) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v1_matrlin(D, A) & l1_vectsp_1(D, A)) ) ) ) ) ) ) ) ) )  =>  (! [E] :  (m1_matrlin(E, A, C) =>  (! [F] :  (m2_finseq_1(F, u1_struct_0(D)) =>  (! [G] :  (m1_matrixj2(G, A, B) =>  (! [H] :  ( (v1_matrix_0(H) &  (v2_matrix_0(H, u1_struct_0(A), k3_finseq_1(E), k3_finseq_1(F)) & m2_finseq_1(H, k3_finseq_2(u1_struct_0(A)))) )  =>  (H=k20_matrixj1(u1_struct_0(A), k4_struct_0(A), G) =>  (! [I] :  (v7_ordinal1(I) =>  (! [J] :  (v7_ordinal1(J) =>  ( (r2_tarski(I, k4_finseq_1(E)) & J=k1_matrixj1(k10_matrixj1(u1_struct_0(A), G), I))  =>  ( (I=k1_wsierp_1(k10_matrixj1(u1_struct_0(A), k7_matrixj2(A, B, J, G))) => k3_funct_2(u1_struct_0(C), u1_struct_0(D), k4_matrlin2(A, C, D, E, F, H), k7_partfun1(u1_struct_0(C), E, I))=k3_vectsp_1(A, D, B, k7_partfun1(u1_struct_0(D), F, I)))  &  ( ~ (I=k1_wsierp_1(k10_matrixj1(u1_struct_0(A), k7_matrixj2(A, B, J, G))))  => k3_funct_2(u1_struct_0(C), u1_struct_0(D), k4_matrlin2(A, C, D, E, F, H), k7_partfun1(u1_struct_0(C), E, I))=k3_rlvect_1(D, k3_vectsp_1(A, D, B, k7_partfun1(u1_struct_0(D), F, I)), k7_partfun1(u1_struct_0(D), F, k1_nat_1(I, 1)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_matrixj2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_matrlin(C, A, B) =>  (! [D] :  (m1_matrixj2(D, A, k4_struct_0(A)) =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(A), k3_finseq_1(C), k3_finseq_1(C)) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(A)))) )  =>  (E=k20_matrixj1(u1_struct_0(A), k4_struct_0(A), D) =>  (! [F] :  (v7_ordinal1(F) =>  ( (! [G] :  (v7_ordinal1(G) =>  (r2_tarski(G, k4_finseq_1(D)) => r1_xxreal_0(k3_finseq_1(k14_matrixj1(u1_struct_0(A), D, G)), F)) ) )  => r2_funct_2(u1_struct_0(B), u1_struct_0(B), k1_vectsp11(B, k4_matrlin2(A, B, B, C, C, E), F), k6_grcat_1(B, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_matrixj2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_matrlin(D, A, C) =>  (! [E] :  (m1_matrixj2(E, A, B) =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(A), k3_finseq_1(D), k3_finseq_1(D)) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(A)))) )  =>  (F=k20_matrixj1(u1_struct_0(A), k4_struct_0(A), E) =>  (v2_matrixj2(k4_matrlin2(A, C, C, D, D, F), A, C) <=>  (k3_finseq_1(D)=k5_numbers | B=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_matrixj2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_matrlin(C, A, B) =>  (! [D] :  (m1_matrixj2(D, A, k4_struct_0(A)) =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(A), k3_finseq_1(C), k3_finseq_1(C)) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(A)))) )  =>  (E=k20_matrixj1(u1_struct_0(A), k4_struct_0(A), D) =>  (r1_xxreal_0(k3_finseq_1(C), k5_numbers) |  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(B), u1_struct_0(B)) &  (v2_matrixj2(F, A, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))))) ) )  =>  (r2_funct_2(u1_struct_0(B), u1_struct_0(B), F, k4_matrlin2(A, B, B, C, C, E)) =>  ( (? [G] :  (v7_ordinal1(G) &  (r2_tarski(G, k4_finseq_1(D)) & k3_finseq_1(k14_matrixj1(u1_struct_0(A), D, G))=k9_matrixj2(A, B, F)) ) )  &  (! [G] :  (v7_ordinal1(G) =>  (r2_tarski(G, k4_finseq_1(D)) => r1_xxreal_0(k3_finseq_1(k14_matrixj1(u1_struct_0(A), D, G)), k9_matrixj2(A, B, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_matrixj2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_matrlin(D, A, B) =>  (! [E] :  (m1_matrlin(E, A, C) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (k3_finseq_1(D)=k3_finseq_1(E) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(G, B, C) &  (v1_mod_2(G, A, B, C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  ~ ( ( (! [H] :  (v7_ordinal1(H) =>  ~ ( (r2_tarski(H, k4_finseq_1(D)) &  ( ~ (k3_funct_2(u1_struct_0(B), u1_struct_0(C), G, k7_partfun1(u1_struct_0(B), D, H))=k3_vectsp_1(A, C, F, k7_partfun1(u1_struct_0(C), E, H)))  &  ~ ( (r2_tarski(k1_nat_1(H, 1), k4_finseq_1(D)) & k3_funct_2(u1_struct_0(B), u1_struct_0(C), G, k7_partfun1(u1_struct_0(B), D, H))=k3_rlvect_1(C, k3_vectsp_1(A, C, F, k7_partfun1(u1_struct_0(C), E, H)), k7_partfun1(u1_struct_0(C), E, k1_nat_1(H, 1)))) ) ) ) ) ) )  &  (! [H] :  ( (v2_relat_1(H) & m1_matrixj2(H, A, F))  =>  ~ (k1_matrlin2(A, B, C, G, D, E)=k20_matrixj1(u1_struct_0(A), k4_struct_0(A), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_matrixj2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(B)) &  (v13_vectsp_1(C, B, B) &  (v1_mod_2(C, A, B, B) &  (v2_matrixj2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))))) ) ) ) )  =>  (? [D] :  ( (v2_relat_1(D) & m1_matrixj2(D, A, k4_struct_0(A)))  &  (? [E] :  (m1_matrlin(E, A, B) & k1_matrlin2(A, B, B, C, E, E)=k20_matrixj1(u1_struct_0(A), k4_struct_0(A), D)) ) ) ) ) ) ) ) ) ) ).
fof(t30_matrixj2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v8_vectsp_1(D, B) &  (v9_vectsp_1(D, B) &  (v10_vectsp_1(D, B) &  (v11_vectsp_1(D, B) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l1_vectsp_1(D, B)) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(D), u1_struct_0(D)) &  (v13_vectsp_1(E, D, D) &  (v1_mod_2(E, B, D, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(D))))) ) ) )  =>  (! [F] :  ( (v1_matrlin(F, B) & m1_vectsp_4(F, B, D))  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(F), u1_struct_0(F)) &  (v13_vectsp_1(G, F, F) &  (v1_mod_2(G, B, F, F) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(F), u1_struct_0(F))))) ) ) )  =>  ~ ( (F=k1_ranknull(B, D, D, k1_vectsp11(D, k3_matrlin(B, D, D, E, k4_matrlin(B, D, D, k3_struct_0(D), k4_algstr_0(B, C))), A)) &  (r1_funct_2(u1_struct_0(F), u1_struct_0(D), u1_struct_0(F), u1_struct_0(F), k8_matrlin2(B, D, D, F, E), G) &  (! [H] :  ( (v2_relat_1(H) & m1_matrixj2(H, B, C))  =>  (! [I] :  (m1_matrlin(I, B, F) =>  ~ (k1_matrlin2(B, F, F, G, I, I)=k20_matrixj1(u1_struct_0(B), k4_struct_0(B), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_matrixj2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_polynom5(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(B)) &  (v13_vectsp_1(C, B, B) &  (v1_mod_2(C, A, B, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))))) ) ) )  =>  (? [D] :  ( (v2_relat_1(D) &  (v1_matrixj2(D, A) & m2_finseq_1(D, k3_finseq_2(k3_finseq_2(u1_struct_0(A))))) )  &  (? [E] :  (m1_matrlin(E, A, B) &  (k1_matrlin2(A, B, B, C, E, E)=k20_matrixj1(u1_struct_0(A), k4_struct_0(A), D) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (m1_vectsp11(F, A, B, C) <=>  (? [G] :  (v7_ordinal1(G) &  (r2_tarski(G, k4_finseq_1(D)) & k14_matrixj1(u1_struct_0(A), D, G)=k2_matrixj2(A, F, k3_finseq_1(k14_matrixj1(u1_struct_0(A), D, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_matrixj2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_polynom5(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (? [D] :  ( (v2_relat_1(D) &  (v1_matrixj2(D, B) & m2_finseq_1(D, k3_finseq_2(k3_finseq_2(u1_struct_0(B))))) )  &  (? [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(B), A, A) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(B)))) )  &  (k1_wsierp_1(k10_matrixj1(u1_struct_0(B), D))=A &  (v1_matrix_6(E, A, B) & C=k4_matrix_3(B, k4_matrix_3(B, E, k20_matrixj1(u1_struct_0(B), k4_struct_0(B), D)), k1_matrix_6(A, B, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_matrixj2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & v7_ordinal1(C)) )  =>  (v1_matrix_0(k1_matrixj2(A, B, C)) & m2_finseq_1(k1_matrixj2(A, B, C), k3_finseq_2(u1_struct_0(A)))) ) ) ).
fof(dt_k2_matrixj2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & v7_ordinal1(C)) )  =>  (v1_matrix_0(k2_matrixj2(A, B, C)) &  (v2_matrix_0(k2_matrixj2(A, B, C), u1_struct_0(A), C, C) &  (v2_matrix_1(k2_matrixj2(A, B, C), C, A) & m2_finseq_1(k2_matrixj2(A, B, C), k3_finseq_2(u1_struct_0(A)))) ) ) ) ) ).
fof(redefinition_k2_matrixj2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & v7_ordinal1(C)) )  => k2_matrixj2(A, B, C)=k1_matrixj2(A, B, C)) ) ).
fof(dt_m1_matrixj2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (! [C] :  (m1_matrixj2(C, A, B) =>  (v1_matrixj2(C, A) & m2_finseq_1(C, k3_finseq_2(k3_finseq_2(u1_struct_0(A))))) ) ) ) ) ).
fof(existence_m1_matrixj2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (? [C] : m1_matrixj2(C, A, B)) ) ) ).
fof(dt_k3_matrixj2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_matrixj2(B, A) & m1_finseq_1(B, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  &  (v1_matrixj2(C, A) & m1_finseq_1(C, k3_finseq_2(k3_finseq_2(u1_struct_0(A))))) ) )  =>  (v1_matrixj2(k3_matrixj2(A, B, C), A) & m2_finseq_1(k3_matrixj2(A, B, C), k3_finseq_2(k3_finseq_2(u1_struct_0(A))))) ) ) ).
fof(redefinition_k3_matrixj2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_matrixj2(B, A) & m1_finseq_1(B, k3_finseq_2(k3_finseq_2(u1_struct_0(A)))))  &  (v1_matrixj2(C, A) & m1_finseq_1(C, k3_finseq_2(k3_finseq_2(u1_struct_0(A))))) ) )  => k3_matrixj2(A, B, C)=k7_finseq_1(B, C)) ) ).
fof(dt_k4_matrixj2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (v7_ordinal1(B) &  (v1_matrixj2(C, A) & m1_finseq_1(C, k3_finseq_2(k3_finseq_2(u1_struct_0(A))))) ) )  =>  (v1_matrixj2(k4_matrixj2(A, B, C), A) & m2_finseq_1(k4_matrixj2(A, B, C), k3_finseq_2(k3_finseq_2(u1_struct_0(A))))) ) ) ).
fof(redefinition_k4_matrixj2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (v7_ordinal1(B) &  (v1_matrixj2(C, A) & m1_finseq_1(C, k3_finseq_2(k3_finseq_2(u1_struct_0(A))))) ) )  => k4_matrixj2(A, B, C)=k16_finseq_1(B, C)) ) ).
fof(dt_k5_matrixj2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (v7_ordinal1(B) &  (v1_matrixj2(C, A) & m1_finseq_1(C, k3_finseq_2(k3_finseq_2(u1_struct_0(A))))) ) )  =>  (v1_matrixj2(k5_matrixj2(A, B, C), A) & m2_finseq_1(k5_matrixj2(A, B, C), k3_finseq_2(k3_finseq_2(u1_struct_0(A))))) ) ) ).
fof(redefinition_k5_matrixj2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (v7_ordinal1(B) &  (v1_matrixj2(C, A) & m1_finseq_1(C, k3_finseq_2(k3_finseq_2(u1_struct_0(A))))) ) )  => k5_matrixj2(A, B, C)=k1_rfinseq(B, C)) ) ).
fof(dt_k6_matrixj2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_matrixj2(C, A, B) & m1_matrixj2(D, A, B)) ) )  => m1_matrixj2(k6_matrixj2(A, B, C, D), A, B)) ) ).
fof(redefinition_k6_matrixj2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_matrixj2(C, A, B) & m1_matrixj2(D, A, B)) ) )  => k6_matrixj2(A, B, C, D)=k7_finseq_1(C, D)) ) ).
fof(dt_k7_matrixj2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (v7_ordinal1(C) & m1_matrixj2(D, A, B)) ) )  => m1_matrixj2(k7_matrixj2(A, B, C, D), A, B)) ) ).
fof(redefinition_k7_matrixj2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (v7_ordinal1(C) & m1_matrixj2(D, A, B)) ) )  => k7_matrixj2(A, B, C, D)=k16_finseq_1(C, D)) ) ).
fof(dt_k8_matrixj2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (v7_ordinal1(C) & m1_matrixj2(D, A, B)) ) )  => m1_matrixj2(k8_matrixj2(A, B, C, D), A, B)) ) ).
fof(redefinition_k8_matrixj2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (v7_ordinal1(C) & m1_matrixj2(D, A, B)) ) )  => k8_matrixj2(A, B, C, D)=k1_rfinseq(C, D)) ) ).
fof(dt_k9_matrixj2, axiom,  (! [A, B, C] :  ( (l6_algstr_0(A) &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(B)) &  (v2_matrixj2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))))) ) ) ) )  => v7_ordinal1(k9_matrixj2(A, B, C))) ) ).
fof(t1_matrixr1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_vectsp_1)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_vectsp_1)) =>  ( (A=C & B=D)  => k2_xcmplx_0(A, B)=k3_rlvect_1(k2_vectsp_1, C, D)) ) ) ) ) ) ) ) ) ).
fof(t2_matrixr1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_vectsp_1)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_vectsp_1)) =>  ( (A=C & B=D)  => k3_xcmplx_0(A, B)=k8_group_1(k2_vectsp_1, C, D)) ) ) ) ) ) ) ) ) ).
fof(t3_matrixr1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (k4_rvsum_1(A, k6_rvsum_1(A))=k5_euclid(k3_finseq_1(A)) & k8_rvsum_1(A, A)=k5_euclid(k3_finseq_1(A))) ) ) ).
fof(t4_matrixr1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (k3_finseq_1(A)=k3_finseq_1(B) => k8_rvsum_1(A, B)=k4_rvsum_1(A, k6_rvsum_1(B))) ) ) ) ) ).
fof(t5_matrixr1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) => k8_rvsum_1(A, k5_euclid(k3_finseq_1(A)))=A) ) ).
fof(t6_matrixr1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) => k8_rvsum_1(k5_euclid(k3_finseq_1(A)), A)=k6_rvsum_1(A)) ) ).
fof(t7_matrixr1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (k3_finseq_1(A)=k3_finseq_1(B) => k8_rvsum_1(A, k6_rvsum_1(B))=k4_rvsum_1(A, B)) ) ) ) ) ).
fof(t8_matrixr1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (k3_finseq_1(A)=k3_finseq_1(B) => k6_rvsum_1(k8_rvsum_1(A, B))=k8_rvsum_1(B, A)) ) ) ) ) ).
fof(t9_matrixr1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (k3_finseq_1(A)=k3_finseq_1(B) => k6_rvsum_1(k8_rvsum_1(A, B))=k4_rvsum_1(k6_rvsum_1(A), B)) ) ) ) ) ).
fof(t10_matrixr1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  ( (k3_finseq_1(A)=k3_finseq_1(B) & k8_rvsum_1(A, B)=k5_euclid(k3_finseq_1(A)))  => A=B) ) ) ) ) ).
fof(t11_matrixr1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  ( (k3_finseq_1(A)=k3_finseq_1(B) & k3_finseq_1(B)=k3_finseq_1(C))  => k8_rvsum_1(k8_rvsum_1(A, B), C)=k8_rvsum_1(A, k4_rvsum_1(B, C))) ) ) ) ) ) ) ).
fof(t12_matrixr1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  ( (k3_finseq_1(A)=k3_finseq_1(B) & k3_finseq_1(B)=k3_finseq_1(C))  => k4_rvsum_1(A, k8_rvsum_1(B, C))=k8_rvsum_1(k4_rvsum_1(A, B), C)) ) ) ) ) ) ) ).
fof(t13_matrixr1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  ( (k3_finseq_1(A)=k3_finseq_1(B) & k3_finseq_1(B)=k3_finseq_1(C))  => k8_rvsum_1(A, k8_rvsum_1(B, C))=k4_rvsum_1(k8_rvsum_1(A, B), C)) ) ) ) ) ) ) ).
fof(t14_matrixr1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (k3_finseq_1(A)=k3_finseq_1(B) => A=k8_rvsum_1(k4_rvsum_1(A, B), B)) ) ) ) ) ).
fof(t15_matrixr1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (k3_finseq_1(A)=k3_finseq_1(B) => A=k4_rvsum_1(k8_rvsum_1(A, B), B)) ) ) ) ) ).
fof(t16_matrixr1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_finseq_1(k9_fvsum_1(A, B, C))=k3_finseq_1(B)) ) ) ) ) ) ).
fof(t17_matrixr1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_vectsp_1)) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k2_vectsp_1)) =>  ( (A=B & C=D)  => k10_rvsum_1(C, A)=k9_fvsum_1(k2_vectsp_1, D, B)) ) ) ) ) ) ) ) ) ).
fof(t18_matrixr1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  => k2_matrix_0(k6_matrix_3(A, C, B))=k2_matrix_0(C)) ) ) ) ) ) ).
fof(t19_matrixr1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B))))  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, k1_matrix_0(D)))  => k8_matrix_0(u1_struct_0(B), k6_matrix_3(B, D, C), A)=k10_fvsum_1(k3_finseq_1(D), B, k8_matrix_0(u1_struct_0(B), D, A), C)) ) ) ) ) ) ) ) ) ).
fof(t20_matrixr1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, k3_finseq_1(C)))  => k7_matrix_0(u1_struct_0(A), k6_matrix_3(A, C, B), D)=k10_fvsum_1(k1_matrix_0(C), A, k7_matrix_0(u1_struct_0(A), C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t21_matrixr1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  ~ ( (k1_matrix_0(B)=k3_finseq_1(C) &  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  ~ ( (k3_finseq_1(D)=k3_finseq_1(B) &  (k1_matrix_0(D)=k1_matrix_0(C) &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (r2_hidden(k4_tarski(E, F), k2_matrix_0(D)) => k3_matrix_0(u1_struct_0(A), D, E, F)=k13_fvsum_1(A, k7_matrix_0(u1_struct_0(A), B, E), k8_matrix_0(u1_struct_0(A), C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_matrixr1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  (k1_matrix_0(C)=k3_finseq_1(D) => k4_matrix_3(A, C, k6_matrix_3(A, D, B))=k6_matrix_3(A, k4_matrix_3(A, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(d1_matrixr1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  => k1_matrixr1(A)=A) ) ).
fof(d2_matrixr1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k2_vectsp_1))))  => k2_matrixr1(A)=A) ) ).
fof(t23_matrixr1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(A)))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(B)))  =>  (C=D =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (r2_hidden(k4_tarski(E, F), k2_matrix_0(C)) => k3_matrix_0(A, C, E, F)=k3_matrix_0(B, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_matrixr1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  => k2_matrix_0(k3_matrix_3(A, B, C))=k2_matrix_0(B)) ) ) ) ) ) ).
fof(d3_matrixr1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  => k3_matrixr1(A, B)=k2_matrixr1(k3_matrix_3(k2_vectsp_1, k1_matrixr1(A), k1_matrixr1(B)))) ) ) ) ).
fof(t25_matrixr1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (k3_finseq_1(k3_matrixr1(A, B))=k3_finseq_1(A) &  (k1_matrix_0(k3_matrixr1(A, B))=k1_matrix_0(A) &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_hidden(k4_tarski(C, D), k2_matrix_0(A)) => k3_matrix_0(k1_numbers, k3_matrixr1(A, B), C, D)=k3_real_1(k3_matrix_0(k1_numbers, A, C, D), k3_matrix_0(k1_numbers, B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_matrixr1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  ( (k3_finseq_1(C)=k3_finseq_1(A) &  (k1_matrix_0(C)=k1_matrix_0(A) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_hidden(k4_tarski(D, E), k2_matrix_0(A)) => k3_matrix_0(k1_numbers, C, D, E)=k3_real_1(k3_matrix_0(k1_numbers, A, D, E), k3_matrix_0(k1_numbers, B, D, E))) ) ) ) ) ) )  => C=k3_matrixr1(A, B)) ) ) ) ) ) ) ).
fof(d4_matrixr1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  => k4_matrixr1(A)=k2_matrixr1(k2_matrix_3(k2_vectsp_1, k1_matrixr1(A)))) ) ).
fof(d5_matrixr1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  => k5_matrixr1(A, B)=k2_matrixr1(k1_matrix_4(k2_vectsp_1, k1_matrixr1(A), k1_matrixr1(B)))) ) ) ) ).
fof(d6_matrixr1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  => k6_matrixr1(A, B)=k2_matrixr1(k4_matrix_3(k2_vectsp_1, k1_matrixr1(A), k1_matrixr1(B)))) ) ) ) ).
fof(d7_matrixr1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  (C=k7_matrixr1(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_vectsp_1)) =>  (D=A => C=k2_matrixr1(k6_matrix_3(k2_vectsp_1, k1_matrixr1(B), D))) ) ) ) ) ) ) ) ) ) ).
fof(t27_matrixr1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (k3_finseq_1(k7_matrixr1(A, B))=k3_finseq_1(B) & k1_matrix_0(k7_matrixr1(A, B))=k1_matrix_0(B)) ) ) ) ) ).
fof(t28_matrixr1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  => k2_matrix_0(k7_matrixr1(A, B))=k2_matrix_0(B)) ) ) ) ).
fof(t29_matrixr1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_hidden(k4_tarski(C, D), k2_matrix_0(B)) => k3_matrix_0(k1_numbers, k7_matrixr1(A, B), C, D)=k3_xcmplx_0(A, k3_matrix_0(k1_numbers, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t30_matrixr1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  ( ~ (r1_xxreal_0(k1_matrix_0(B), k5_numbers))  => k4_matrix_0(k1_numbers, k7_matrixr1(A, B))=k7_matrixr1(A, k4_matrix_0(k1_numbers, B))) ) ) ) ) ).
fof(t31_matrixr1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  (r2_tarski(B, k4_finseq_1(C)) =>  (r1_xxreal_0(k3_finseq_1(C), k5_numbers) |  ( (? [D] :  (m2_finseq_1(D, k1_numbers) & D=k1_funct_1(C, B)) )  &  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  (D=k1_funct_1(C, B) => k1_funct_1(k7_matrixr1(A, C), B)=k10_rvsum_1(D, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_matrixr1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  => k7_matrixr1(1, A)=A) ) ).
fof(t33_matrixr1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  => k3_matrixr1(A, A)=k7_matrixr1(2, A)) ) ).
fof(t34_matrixr1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  => k3_matrixr1(k3_matrixr1(A, A), A)=k7_matrixr1(3, A)) ) ).
fof(d8_matrixr1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k8_matrixr1(A, B)=k2_matrixr1(k1_matrix_3(k2_vectsp_1, A, B))) ) ) ) ).
fof(t35_matrixr1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  => k5_matrixr1(A, k4_matrixr1(B))=k3_matrixr1(A, B)) ) ) ) ).
fof(t36_matrixr1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  ( (k3_finseq_1(C)=A & k1_matrix_0(C)=B)  =>  (r1_xxreal_0(A, k5_numbers) |  (k3_matrixr1(C, k8_matrixr1(A, B))=C & k3_matrixr1(k8_matrixr1(A, B), C)=C) ) ) ) ) ) ) ) ) ).
fof(t37_matrixr1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  ( (k3_finseq_1(A)=k3_finseq_1(B) &  (k1_matrix_0(A)=k1_matrix_0(B) & A=k3_matrixr1(A, B)) )  => B=k8_matrixr1(k3_finseq_1(A), k1_matrix_0(A))) ) ) ) ) ).
fof(t38_matrixr1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  ( (k3_finseq_1(A)=k3_finseq_1(B) &  (k1_matrix_0(A)=k1_matrix_0(B) & k3_matrixr1(A, B)=k8_matrixr1(k3_finseq_1(A), k1_matrix_0(A))) )  => B=k4_matrixr1(A)) ) ) ) ) ).
fof(t39_matrixr1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  ( (k3_finseq_1(A)=k3_finseq_1(B) &  (k1_matrix_0(A)=k1_matrix_0(B) & k5_matrixr1(B, A)=B) )  => A=k8_matrixr1(k3_finseq_1(A), k1_matrix_0(A))) ) ) ) ) ).
fof(t40_matrixr1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  (k1_matrix_0(B)=k3_finseq_1(C) => k6_matrixr1(B, k7_matrixr1(A, C))=k7_matrixr1(A, k6_matrixr1(B, C))) ) ) ) ) ) ) ).
fof(t41_matrixr1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  (k1_matrix_0(B)=k3_finseq_1(C) =>  (r1_xxreal_0(k3_finseq_1(B), k5_numbers) |  (r1_xxreal_0(k3_finseq_1(C), k5_numbers) |  (r1_xxreal_0(k1_matrix_0(C), k5_numbers) | k6_matrixr1(k7_matrixr1(A, B), C)=k7_matrixr1(A, k6_matrixr1(B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t42_matrixr1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  => k3_matrixr1(A, k8_matrixr1(k3_finseq_1(A), k1_matrix_0(A)))=A) ) ).
fof(t43_matrixr1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) & k1_matrix_0(B)=k1_matrix_0(C))  => k7_matrixr1(A, k3_matrixr1(B, C))=k3_matrixr1(k7_matrixr1(A, B), k7_matrixr1(A, C))) ) ) ) ) ) ) ).
fof(t44_matrixr1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  ( ~ (r1_xxreal_0(k3_finseq_1(A), k5_numbers))  => k7_matrixr1(k5_numbers, A)=k8_matrixr1(k3_finseq_1(A), k1_matrix_0(A))) ) ) ).
fof(d9_matrixr1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  ( ~ (r1_xxreal_0(k3_finseq_1(A), k5_numbers))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (B=k9_matrixr1(A) <=>  (k3_finseq_1(B)=k3_finseq_1(A) &  (k1_matrix_0(B)=1 &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(A)) => k1_funct_1(B, C)=k9_finseq_1(k1_funct_1(A, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_matrixr1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  ( ~ (r1_xxreal_0(k3_finseq_1(A), k5_numbers))  =>  (B=k9_matrixr1(A) <=>  (k8_matrix_0(k1_numbers, B, 1)=A & k1_matrix_0(B)=1) ) ) ) ) ) ) ).
fof(t46_matrixr1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (k3_finseq_1(A)=k3_finseq_1(B) =>  (r1_xxreal_0(k3_finseq_1(A), k5_numbers) | k9_matrixr1(k4_rvsum_1(A, B))=k3_matrixr1(k9_matrixr1(A), k9_matrixr1(B))) ) ) ) ) ) ).
fof(t47_matrixr1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  ( ~ (r1_xxreal_0(k3_finseq_1(B), k5_numbers))  => k9_matrixr1(k10_rvsum_1(B, A))=k7_matrixr1(A, k9_matrixr1(B))) ) ) ) ) ).
fof(d10_matrixr1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (B=k10_matrixr1(A) <=>  (k1_matrix_0(B)=k3_finseq_1(A) &  (k3_finseq_1(B)=1 &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(A)) => k3_matrix_0(k1_numbers, B, 1, C)=k1_funct_1(A, C)) ) ) ) ) ) ) ) ) ) ).
fof(t48_matrixr1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (B=k10_matrixr1(A) <=>  (k7_matrix_0(k1_numbers, B, 1)=A & k3_finseq_1(B)=1) ) ) ) ) ) ).
fof(t49_matrixr1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  ( ~ (r1_xxreal_0(k3_finseq_1(A), k5_numbers))  =>  (k4_matrix_0(k1_numbers, k10_matrixr1(A))=k9_matrixr1(A) & k4_matrix_0(k1_numbers, k9_matrixr1(A))=k10_matrixr1(A)) ) ) ) ).
fof(t50_matrixr1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (k3_finseq_1(A)=k3_finseq_1(B) => k10_matrixr1(k4_rvsum_1(A, B))=k3_matrixr1(k10_matrixr1(A), k10_matrixr1(B))) ) ) ) ) ).
fof(t51_matrixr1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) => k10_matrixr1(k10_rvsum_1(B, A))=k7_matrixr1(A, k10_matrixr1(B))) ) ) ) ).
fof(d11_matrixr1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (! [B] :  (m2_finseq_1(B, k1_numbers) => k11_matrixr1(A, B)=k8_matrix_0(k1_numbers, k6_matrixr1(A, k9_matrixr1(B)), 1)) ) ) ) ).
fof(d12_matrixr1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (! [B] :  (m2_finseq_1(B, k1_numbers) => k12_matrixr1(A, B)=k7_matrix_0(k1_numbers, k6_matrixr1(k10_matrixr1(B), A), 1)) ) ) ) ).
fof(t52_matrixr1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  ~ ( ( ~ (r1_xxreal_0(k3_finseq_1(B), k5_numbers))  &  ( ~ (r1_xxreal_0(k1_matrix_0(B), k5_numbers))  &  ( (k3_finseq_1(B)=k3_finseq_1(A) | k1_matrix_0(k4_matrix_0(k1_numbers, B))=k3_finseq_1(A))  &  ~ (k11_matrixr1(k4_matrix_0(k1_numbers, B), A)=k12_matrixr1(B, A)) ) ) ) ) ) ) ) ) ).
fof(t53_matrixr1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  ~ ( ( ~ (r1_xxreal_0(k3_finseq_1(B), k5_numbers))  &  ( ~ (r1_xxreal_0(k1_matrix_0(B), k5_numbers))  &  ( (k1_matrix_0(B)=k3_finseq_1(A) | k3_finseq_1(k4_matrix_0(k1_numbers, B))=k3_finseq_1(A))  &  ~ (k11_matrixr1(B, A)=k12_matrixr1(k4_matrix_0(k1_numbers, B), A)) ) ) ) ) ) ) ) ) ).
fof(t54_matrixr1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (k3_finseq_1(A)=k3_finseq_1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, k1_matrix_0(A)))  => k8_matrix_0(k1_numbers, k3_matrixr1(A, B), C)=k4_rvsum_1(k8_matrix_0(k1_numbers, A, C), k8_matrix_0(k1_numbers, B, C))) ) ) ) ) ) ) ) ).
fof(t55_matrixr1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (k1_matrix_0(A)=k1_matrix_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, k3_finseq_1(A)))  => k7_matrix_0(k1_numbers, k3_matrixr1(A, B), C)=k4_rvsum_1(k7_matrix_0(k1_numbers, A, C), k7_matrix_0(k1_numbers, B, C))) ) ) ) ) ) ) ) ).
fof(t56_matrixr1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, k1_matrix_0(B)))  => k8_matrix_0(k1_numbers, k7_matrixr1(A, B), C)=k11_rvsum_1(k3_finseq_1(B), k8_matrix_0(k1_numbers, B, C), A)) ) ) ) ) ) ) ).
fof(t57_matrixr1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  ( (k3_finseq_1(A)=k3_finseq_1(B) & k1_matrix_0(C)=k3_finseq_1(A))  =>  (r1_xxreal_0(k3_finseq_1(A), k5_numbers) |  (r1_xxreal_0(k3_finseq_1(C), k5_numbers) | k11_matrixr1(C, k4_rvsum_1(A, B))=k4_rvsum_1(k11_matrixr1(C, A), k11_matrixr1(C, B))) ) ) ) ) ) ) ) ) ).
fof(t58_matrixr1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  ( (k3_finseq_1(A)=k3_finseq_1(B) & k3_finseq_1(C)=k3_finseq_1(A))  =>  (r1_xxreal_0(k3_finseq_1(A), k5_numbers) | k12_matrixr1(C, k4_rvsum_1(A, B))=k4_rvsum_1(k12_matrixr1(C, A), k12_matrixr1(C, B))) ) ) ) ) ) ) ) ).
fof(t59_matrixr1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  (k1_matrix_0(C)=k3_finseq_1(B) =>  (r1_xxreal_0(k3_finseq_1(B), k5_numbers) | k11_matrixr1(C, k10_rvsum_1(B, A))=k10_rvsum_1(k11_matrixr1(C, B), A)) ) ) ) ) ) ) ) ).
fof(t60_matrixr1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  (k3_finseq_1(C)=k3_finseq_1(B) =>  (r1_xxreal_0(k3_finseq_1(B), k5_numbers) |  (r1_xxreal_0(k1_matrix_0(C), k5_numbers) | k12_matrixr1(C, k10_rvsum_1(B, A))=k10_rvsum_1(k12_matrixr1(C, B), A)) ) ) ) ) ) ) ) ) ).
fof(t61_matrixr1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (k1_matrix_0(B)=k3_finseq_1(A) =>  (r1_xxreal_0(k3_finseq_1(A), k5_numbers) | k3_finseq_1(k11_matrixr1(B, A))=k3_finseq_1(B)) ) ) ) ) ) ).
fof(t62_matrixr1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (k3_finseq_1(B)=k3_finseq_1(A) => k3_finseq_1(k12_matrixr1(B, A))=k1_matrix_0(B)) ) ) ) ) ).
fof(t63_matrixr1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (k1_matrix_0(B)=k1_matrix_0(C) & k1_matrix_0(B)=k3_finseq_1(A)) )  =>  (r1_xxreal_0(k3_finseq_1(B), k5_numbers) |  (r1_xxreal_0(k3_finseq_1(A), k5_numbers) | k11_matrixr1(k3_matrixr1(B, C), A)=k4_rvsum_1(k11_matrixr1(B, A), k11_matrixr1(C, A))) ) ) ) ) ) ) ) ) ).
fof(t64_matrixr1, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (k1_matrix_0(B)=k1_matrix_0(C) & k3_finseq_1(B)=k3_finseq_1(A)) )  =>  (r1_xxreal_0(k3_finseq_1(A), k5_numbers) | k12_matrixr1(k3_matrixr1(B, C), A)=k4_rvsum_1(k12_matrixr1(B, A), k12_matrixr1(C, A))) ) ) ) ) ) ) ) ).
fof(t65_matrixr1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  (k3_finseq_1(C)=B =>  (r1_xxreal_0(A, k5_numbers) |  (r1_xxreal_0(B, k5_numbers) | k11_matrixr1(k8_matrixr1(A, B), C)=k5_euclid(A)) ) ) ) ) ) ) ) ) ).
fof(t66_matrixr1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  (k3_finseq_1(C)=A =>  (r1_xxreal_0(A, k5_numbers) | k12_matrixr1(k8_matrixr1(A, B), C)=k5_euclid(B)) ) ) ) ) ) ) ) ).
fof(dt_k1_matrixr1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m1_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (v1_matrix_0(k1_matrixr1(A)) & m2_finseq_1(k1_matrixr1(A), k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) ) ).
fof(dt_k2_matrixr1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m1_finseq_1(A, k3_finseq_2(u1_struct_0(k2_vectsp_1))))  =>  (v1_matrix_0(k2_matrixr1(A)) & m2_finseq_1(k2_matrixr1(A), k3_finseq_2(k1_numbers))) ) ) ).
fof(dt_k3_matrixr1, axiom,  (! [A, B] :  ( ( (v1_matrix_0(A) & m1_finseq_1(A, k3_finseq_2(k1_numbers)))  &  (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (v1_matrix_0(k3_matrixr1(A, B)) & m2_finseq_1(k3_matrixr1(A, B), k3_finseq_2(k1_numbers))) ) ) ).
fof(dt_k4_matrixr1, axiom,  (! [A] :  ( (v1_matrix_0(A) & m1_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (v1_matrix_0(k4_matrixr1(A)) & m2_finseq_1(k4_matrixr1(A), k3_finseq_2(k1_numbers))) ) ) ).
fof(dt_k5_matrixr1, axiom,  (! [A, B] :  ( ( (v1_matrix_0(A) & m1_finseq_1(A, k3_finseq_2(k1_numbers)))  &  (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (v1_matrix_0(k5_matrixr1(A, B)) & m2_finseq_1(k5_matrixr1(A, B), k3_finseq_2(k1_numbers))) ) ) ).
fof(dt_k6_matrixr1, axiom,  (! [A, B] :  ( ( (v1_matrix_0(A) & m1_finseq_1(A, k3_finseq_2(k1_numbers)))  &  (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (v1_matrix_0(k6_matrixr1(A, B)) & m2_finseq_1(k6_matrixr1(A, B), k3_finseq_2(k1_numbers))) ) ) ).
fof(dt_k7_matrixr1, axiom,  (! [A, B] :  ( (v1_xreal_0(A) &  (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (v1_matrix_0(k7_matrixr1(A, B)) & m2_finseq_1(k7_matrixr1(A, B), k3_finseq_2(k1_numbers))) ) ) ).
fof(dt_k8_matrixr1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  =>  (v1_matrix_0(k8_matrixr1(A, B)) & m2_finseq_1(k8_matrixr1(A, B), k3_finseq_2(k1_numbers))) ) ) ).
fof(dt_k9_matrixr1, axiom,  (! [A] :  (m1_finseq_1(A, k1_numbers) =>  (v1_matrix_0(k9_matrixr1(A)) & m2_finseq_1(k9_matrixr1(A), k3_finseq_2(k1_numbers))) ) ) ).
fof(dt_k10_matrixr1, axiom,  (! [A] :  (m1_finseq_1(A, k1_numbers) =>  (v1_matrix_0(k10_matrixr1(A)) & m2_finseq_1(k10_matrixr1(A), k3_finseq_2(k1_numbers))) ) ) ).
fof(dt_k11_matrixr1, axiom,  (! [A, B] :  ( ( (v1_matrix_0(A) & m1_finseq_1(A, k3_finseq_2(k1_numbers)))  & m1_finseq_1(B, k1_numbers))  => m2_finseq_1(k11_matrixr1(A, B), k1_numbers)) ) ).
fof(dt_k12_matrixr1, axiom,  (! [A, B] :  ( ( (v1_matrix_0(A) & m1_finseq_1(A, k3_finseq_2(k1_numbers)))  & m1_finseq_1(B, k1_numbers))  => m2_finseq_1(k12_matrixr1(A, B), k1_numbers)) ) ).
fof(fc1_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_matrix_0(k4_matrixr2(A)) &  (v2_matrix_0(k4_matrixr2(A), k1_numbers, A, A) & v1_matrixr2(k4_matrixr2(A), A)) ) ) ) ).
fof(t1_matrixr2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  ( (k3_finseq_1(A)=k3_finseq_1(B) & k4_rvsum_1(A, B)=k5_euclid(k3_finseq_1(A)))  =>  (A=k6_rvsum_1(B) & B=k6_rvsum_1(A)) ) ) ) ) ) ).
fof(t2_matrixr2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(A)))  =>  (! [E] :  (m2_finseq_1(E, A) =>  ( (E=k1_funct_1(D, B) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k3_finseq_1(D)) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(D)) & k3_finseq_1(E)=k1_matrix_0(D)) ) ) ) )  => k3_matrix_0(A, D, B, C)=k1_funct_1(E, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(k1_numbers)))  =>  (r2_hidden(k4_tarski(A, B), k2_matrix_0(D)) => k3_matrix_0(k1_numbers, k7_matrixr1(C, D), A, B)=k3_xcmplx_0(C, k3_matrix_0(k1_numbers, D, A, B))) ) ) ) ) ) ) ) ) ).
fof(t4_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (k3_finseq_1(k6_matrixr1(B, C))=k3_finseq_1(B) &  (k1_matrix_0(k6_matrixr1(B, C))=k1_matrix_0(C) &  (k3_finseq_1(k6_matrixr1(B, C))=A & k1_matrix_0(k6_matrixr1(B, C))=A) ) ) ) ) ) ) ) ) ).
fof(t5_matrixr2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (k3_finseq_1(k7_matrixr1(A, B))=k3_finseq_1(B) & k1_matrix_0(k7_matrixr1(A, B))=k1_matrix_0(B)) ) ) ) ) ).
fof(t6_matrixr2, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  ( (k3_finseq_1(A)=k3_finseq_1(B) & k1_matrix_0(A)=k1_matrix_0(B))  =>  (k3_finseq_1(k5_matrixr1(A, B))=k3_finseq_1(A) &  (k1_matrix_0(k5_matrixr1(A, B))=k1_matrix_0(A) &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_hidden(k4_tarski(C, D), k2_matrix_0(A)) => k3_matrix_0(k1_numbers, k5_matrixr1(A, B), C, D)=k5_real_1(k3_matrix_0(k1_numbers, A, C, D), k3_matrix_0(k1_numbers, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_matrixr2, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  ( (k3_finseq_1(A)=k3_finseq_1(B) & k1_matrix_0(A)=k1_matrix_0(B))  =>  (r1_xxreal_0(k3_finseq_1(A), k5_numbers) | k3_matrixr1(A, k5_matrixr1(B, B))=A) ) ) ) ) ) ).
fof(t8_matrixr2, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  ( (k3_finseq_1(A)=k3_finseq_1(B) & k1_matrix_0(A)=k1_matrix_0(B))  =>  (r1_xxreal_0(k3_finseq_1(A), k5_numbers) | k5_matrixr1(k3_matrixr1(A, B), B)=A) ) ) ) ) ) ).
fof(t9_matrixr2, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  => k7_matrixr1(k4_xcmplx_0(1), A)=k4_matrixr1(A)) ) ).
fof(t10_matrixr2, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_hidden(k4_tarski(B, C), k2_matrix_0(A)) => k3_matrix_0(k1_numbers, k4_matrixr1(A), B, C)=k1_real_1(k3_matrix_0(k1_numbers, A, B, C))) ) ) ) ) ) ) ).
fof(t11_matrixr2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  => k7_matrixr1(k3_xcmplx_0(A, B), C)=k7_matrixr1(A, k7_matrixr1(B, C))) ) ) ) ) ) ).
fof(t12_matrixr2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  => k7_matrixr1(k2_xcmplx_0(A, B), C)=k3_matrixr1(k7_matrixr1(A, C), k7_matrixr1(B, C))) ) ) ) ) ) ).
fof(t13_matrixr2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  => k7_matrixr1(k6_xcmplx_0(A, B), C)=k5_matrixr1(k7_matrixr1(A, C), k7_matrixr1(B, C))) ) ) ) ) ) ).
fof(t14_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B))))  =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(k3_finseq_1(C), k5_numbers))  &  ~ (k4_matrix_3(B, k1_matrix_3(B, A, k3_finseq_1(C)), C)=k1_matrix_3(B, A, k1_matrix_0(C))) ) ) ) ) ) ) ) ) ) ).
fof(t15_matrixr2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (k3_finseq_1(B)=k1_matrix_0(C) =>  (r1_xxreal_0(k3_finseq_1(C), k5_numbers) |  (r1_xxreal_0(k3_finseq_1(B), k5_numbers) | k4_matrix_3(A, k2_matrix_3(A, C), B)=k2_matrix_3(A, k4_matrix_3(A, C, B))) ) ) ) ) ) ) ) ) ).
fof(t16_matrixr2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(C)=k3_finseq_1(D) &  (k1_matrix_0(C)=k1_matrix_0(D) & k3_finseq_1(B)=k1_matrix_0(C)) )  =>  (r1_xxreal_0(k3_finseq_1(C), k5_numbers) |  (r1_xxreal_0(k3_finseq_1(B), k5_numbers) | k4_matrix_3(A, k1_matrix_4(A, C, D), B)=k1_matrix_4(A, k4_matrix_3(A, C, B), k4_matrix_3(A, D, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_matrixr2, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  ( (k3_finseq_1(A)=k3_finseq_1(B) &  (k1_matrix_0(A)=k1_matrix_0(B) & k3_finseq_1(C)=k1_matrix_0(A)) )  =>  (r1_xxreal_0(k3_finseq_1(A), k5_numbers) |  (r1_xxreal_0(k3_finseq_1(C), k5_numbers) | k6_matrixr1(k5_matrixr1(A, B), C)=k5_matrixr1(k6_matrixr1(A, C), k6_matrixr1(B, C))) ) ) ) ) ) ) ) ) ).
fof(t18_matrixr2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  ~ ( ( ~ (r1_xxreal_0(k1_matrix_0(C), k5_numbers))  &  ( ~ (r1_xxreal_0(k3_finseq_1(C), k5_numbers))  &  ~ (k4_matrix_3(A, C, k1_matrix_3(A, k1_matrix_0(C), B))=k1_matrix_3(A, k3_finseq_1(C), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_matrixr2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (k1_matrix_0(B)=k3_finseq_1(C) =>  (r1_xxreal_0(k3_finseq_1(B), k5_numbers) |  (r1_xxreal_0(k3_finseq_1(C), k5_numbers) | k4_matrix_3(A, B, k2_matrix_3(A, C))=k2_matrix_3(A, k4_matrix_3(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t20_matrixr2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A))))  =>  ( (k3_finseq_1(C)=k3_finseq_1(D) &  (k1_matrix_0(C)=k1_matrix_0(D) & k3_finseq_1(C)=k1_matrix_0(B)) )  =>  (r1_xxreal_0(k3_finseq_1(C), k5_numbers) |  (r1_xxreal_0(k3_finseq_1(B), k5_numbers) | k4_matrix_3(A, B, k1_matrix_4(A, C, D))=k1_matrix_4(A, k4_matrix_3(A, B, C), k4_matrix_3(A, B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_matrixr2, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  ( (k3_finseq_1(A)=k3_finseq_1(B) &  (k1_matrix_0(A)=k1_matrix_0(B) & k1_matrix_0(C)=k3_finseq_1(A)) )  =>  (r1_xxreal_0(k3_finseq_1(C), k5_numbers) |  (r1_xxreal_0(k3_finseq_1(A), k5_numbers) | k6_matrixr1(C, k5_matrixr1(A, B))=k5_matrixr1(k6_matrixr1(C, A), k6_matrixr1(C, B))) ) ) ) ) ) ) ) ) ).
fof(t22_matrixr2, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  ( (k3_finseq_1(A)=k3_finseq_1(B) &  (k1_matrix_0(A)=k1_matrix_0(B) &  (k3_finseq_1(C)=k3_finseq_1(A) &  (k1_matrix_0(C)=k1_matrix_0(A) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_hidden(k4_tarski(D, E), k2_matrix_0(A)) => k3_matrix_0(k1_numbers, C, D, E)=k5_real_1(k3_matrix_0(k1_numbers, A, D, E), k3_matrix_0(k1_numbers, B, D, E))) ) ) ) ) ) ) ) )  => C=k5_matrixr1(A, B)) ) ) ) ) ) ) ).
fof(t23_matrixr2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (k3_finseq_1(A)=k3_finseq_1(B) => k10_matrixr1(k8_rvsum_1(A, B))=k5_matrixr1(k10_matrixr1(A), k10_matrixr1(B))) ) ) ) ) ).
fof(t24_matrixr2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (k3_finseq_1(A)=k3_finseq_1(B) =>  (r1_xxreal_0(k3_finseq_1(A), k5_numbers) | k9_matrixr1(k8_rvsum_1(A, B))=k5_matrixr1(k9_matrixr1(A), k9_matrixr1(B))) ) ) ) ) ) ).
fof(t25_matrixr2, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  ( (k3_finseq_1(A)=k3_finseq_1(B) & k1_matrix_0(A)=k1_matrix_0(B))  =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, k3_finseq_1(A)))  => k7_matrix_0(k1_numbers, k5_matrixr1(A, B), C)=k8_rvsum_1(k7_matrix_0(k1_numbers, A, C), k7_matrix_0(k1_numbers, B, C))) ) ) ) ) ) ) ) ).
fof(t26_matrixr2, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  ( (k3_finseq_1(A)=k3_finseq_1(B) & k1_matrix_0(A)=k1_matrix_0(B))  =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, k1_matrix_0(A)))  => k8_matrix_0(k1_numbers, k5_matrixr1(A, B), C)=k8_rvsum_1(k8_matrix_0(k1_numbers, A, C), k8_matrix_0(k1_numbers, B, C))) ) ) ) ) ) ) ) ).
fof(t27_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, k1_numbers, B, A) & m2_finseq_1(E, k3_finseq_2(k1_numbers))) )  =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, k1_numbers, A, C) & m2_finseq_1(F, k3_finseq_2(k1_numbers))) )  =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, k1_numbers, C, D) & m2_finseq_1(G, k3_finseq_2(k1_numbers))) )  =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  ~ (k6_matrixr1(k6_matrixr1(E, F), G)=k6_matrixr1(E, k6_matrixr1(F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, A, A) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  => k1_matrixr2(A, k1_matrixr2(A, B, C), D)=k1_matrixr2(A, B, k1_matrixr2(A, C, D))) ) ) ) ) ) ) ) ).
fof(t29_matrixr2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, A, B, B) & m2_finseq_1(C, k3_finseq_2(A))) )  => k4_matrix_0(A, k4_matrix_0(A, C))=C) ) ) ) ) ) ).
fof(t30_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  => k4_matrix_0(k1_numbers, k1_matrixr2(A, B, C))=k1_matrixr2(A, k4_matrix_0(k1_numbers, C), k4_matrix_0(k1_numbers, B))) ) ) ) ) ) ).
fof(t31_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  ( (k3_finseq_1(C)=A & k1_matrix_0(C)=B)  => k3_matrixr1(k4_matrixr1(C), C)=k8_matrixr1(A, B)) ) ) ) ) ) ) ).
fof(d1_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  => k3_matrixr2(A, B)=k12_matrix_3(A, k2_vectsp_1, k2_matrixr2(A, B))) ) ) ) ).
fof(t32_matrixr2, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, k1_numbers, 2, 2) & m2_finseq_1(A, k3_finseq_2(k1_numbers))) )  => k3_matrixr2(2, A)=k5_real_1(k4_real_1(k3_matrix_0(k1_numbers, A, 1, 1), k3_matrix_0(k1_numbers, A, 2, 2)), k4_real_1(k3_matrix_0(k1_numbers, A, 1, 2), k3_matrix_0(k1_numbers, A, 2, 1)))) ) ).
fof(t33_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  ( (k3_finseq_1(B)=A &  (k3_finseq_1(C)=A & k3_finseq_1(D)=A) )  => v1_matrix_0(k11_finseq_1(B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t34_matrixr2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  (! [E] :  (m2_finseq_1(E, A) =>  ( (k3_finseq_1(C)=B &  (k3_finseq_1(D)=B & k3_finseq_1(E)=B) )  =>  (v1_matrix_0(k3_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)), C, D, E)) &  (v2_matrix_0(k3_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)), C, D, E), A, 3, B) & m2_finseq_1(k3_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)), C, D, E), k3_finseq_2(A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_matrixr2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) =>  (! [H] :  (m1_subset_1(H, A) =>  (! [I] :  (m1_subset_1(I, A) =>  (! [J] :  (m1_subset_1(J, A) =>  (v1_matrix_0(k3_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)), k3_finseq_4(A, B, C, D), k3_finseq_4(A, E, F, G), k3_finseq_4(A, H, I, J))) &  (v2_matrix_0(k3_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)), k3_finseq_4(A, B, C, D), k3_finseq_4(A, E, F, G), k3_finseq_4(A, H, I, J)), A, 3, 3) & m2_finseq_1(k3_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)), k3_finseq_4(A, B, C, D), k3_finseq_4(A, E, F, G), k3_finseq_4(A, H, I, J)), k3_finseq_2(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_matrixr2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, A, B, B) & m2_finseq_1(C, k3_finseq_2(A))) )  =>  (! [D] :  (m2_finseq_1(D, A) =>  (! [E] :  (v7_ordinal1(E) =>  ( (D=k1_funct_1(C, E) & r2_tarski(E, k2_finseq_1(B)))  => k3_finseq_1(D)=B) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_matrixr2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, A, 3, 3) & m2_finseq_1(B, k3_finseq_2(A))) )  => B=k3_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)), k3_finseq_4(A, k3_matrix_0(A, B, 1, 1), k3_matrix_0(A, B, 1, 2), k3_matrix_0(A, B, 1, 3)), k3_finseq_4(A, k3_matrix_0(A, B, 2, 1), k3_matrix_0(A, B, 2, 2), k3_matrix_0(A, B, 2, 3)), k3_finseq_4(A, k3_matrix_0(A, B, 3, 1), k3_matrix_0(A, B, 3, 2), k3_matrix_0(A, B, 3, 3)))) ) ) ) ).
fof(t38_matrixr2, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, k1_numbers, 3, 3) & m2_finseq_1(A, k3_finseq_2(k1_numbers))) )  => k3_matrixr2(3, A)=k3_real_1(k5_real_1(k3_real_1(k5_real_1(k5_real_1(k4_real_1(k4_real_1(k3_matrix_0(k1_numbers, A, 1, 1), k3_matrix_0(k1_numbers, A, 2, 2)), k3_matrix_0(k1_numbers, A, 3, 3)), k4_real_1(k4_real_1(k3_matrix_0(k1_numbers, A, 1, 3), k3_matrix_0(k1_numbers, A, 2, 2)), k3_matrix_0(k1_numbers, A, 3, 1))), k4_real_1(k4_real_1(k3_matrix_0(k1_numbers, A, 1, 1), k3_matrix_0(k1_numbers, A, 2, 3)), k3_matrix_0(k1_numbers, A, 3, 2))), k4_real_1(k4_real_1(k3_matrix_0(k1_numbers, A, 1, 2), k3_matrix_0(k1_numbers, A, 2, 3)), k3_matrix_0(k1_numbers, A, 3, 1))), k4_real_1(k4_real_1(k3_matrix_0(k1_numbers, A, 1, 2), k3_matrix_0(k1_numbers, A, 2, 1)), k3_matrix_0(k1_numbers, A, 3, 3))), k4_real_1(k4_real_1(k3_matrix_0(k1_numbers, A, 1, 3), k3_matrix_0(k1_numbers, A, 2, 1)), k3_matrix_0(k1_numbers, A, 3, 2)))) ) ).
fof(t39_matrixr2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_finseq_1(k5_numbers), k2_finseq_1(k5_numbers)) &  (v3_funct_2(A, k2_finseq_1(k5_numbers), k2_finseq_1(k5_numbers)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k5_numbers), k2_finseq_1(k5_numbers))))) ) )  => A=k6_finseq_1(k4_ordinal1)) ) ).
fof(t40_matrixr2, axiom, k9_matrix_1(k5_numbers)=k1_tarski(k6_finseq_1(k4_ordinal1))).
fof(t41_matrixr2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, u1_struct_0(A), k5_numbers, k5_numbers) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A)))) )  => k12_matrix_3(k5_numbers, A, B)=k5_struct_0(A)) ) ) ) ).
fof(t42_matrixr2, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, k1_numbers, k5_numbers, k5_numbers) & m2_finseq_1(A, k3_finseq_2(k1_numbers))) )  => k3_matrixr2(k5_numbers, A)=1) ) ).
fof(t43_matrixr2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(A), B, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A)))) )  => k12_matrix_3(B, A, C)=k12_matrix_3(B, A, k4_matrix_0(u1_struct_0(A), C))) ) ) ) ) ) ).
fof(t44_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  => k3_matrixr2(A, B)=k3_matrixr2(A, k4_matrix_0(k1_numbers, B))) ) ) ) ).
fof(t45_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  => k12_matrix_3(A, B, k4_matrix_3(B, C, D))=k8_group_1(B, k12_matrix_3(A, B, C), k12_matrix_3(A, B, D))) ) ) ) ) ) ) ) ).
fof(t46_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  => k3_matrixr2(A, k1_matrixr2(A, B, C))=k3_xcmplx_0(k3_matrixr2(A, B), k3_matrixr2(A, C))) ) ) ) ) ) ).
fof(t47_matrixr2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  ( (k3_finseq_1(A)=k3_finseq_1(C) & k3_finseq_1(B)=k3_finseq_1(A))  =>  (r1_xxreal_0(k3_finseq_1(A), k5_numbers) | k12_matrixr1(C, k8_rvsum_1(A, B))=k8_rvsum_1(k12_matrixr1(C, A), k12_matrixr1(C, B))) ) ) ) ) ) ) ) ).
fof(t48_matrixr2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  ( (k3_finseq_1(A)=k1_matrix_0(C) & k3_finseq_1(B)=k3_finseq_1(A))  =>  (r1_xxreal_0(k3_finseq_1(A), k5_numbers) |  (r1_xxreal_0(k3_finseq_1(C), k5_numbers) | k11_matrixr1(C, k8_rvsum_1(A, B))=k8_rvsum_1(k11_matrixr1(C, A), k11_matrixr1(C, B))) ) ) ) ) ) ) ) ) ).
fof(t49_matrixr2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (k3_finseq_1(B)=k3_finseq_1(A) =>  (r1_xxreal_0(k3_finseq_1(A), k5_numbers) |  (r1_xxreal_0(k1_matrix_0(B), k5_numbers) | k12_matrixr1(B, k6_rvsum_1(A))=k6_rvsum_1(k12_matrixr1(B, A))) ) ) ) ) ) ) ).
fof(t50_matrixr2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (k3_finseq_1(A)=k1_matrix_0(B) =>  (r1_xxreal_0(k3_finseq_1(A), k5_numbers) | k11_matrixr1(B, k6_rvsum_1(A))=k6_rvsum_1(k11_matrixr1(B, A))) ) ) ) ) ) ).
fof(t51_matrixr2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (k3_finseq_1(A)=k3_finseq_1(B) =>  (r1_xxreal_0(k3_finseq_1(A), k5_numbers) | k12_matrixr1(k4_matrixr1(B), A)=k6_rvsum_1(k12_matrixr1(B, A))) ) ) ) ) ) ).
fof(t52_matrixr2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (k3_finseq_1(A)=k1_matrix_0(B) =>  (r1_xxreal_0(k3_finseq_1(B), k5_numbers) |  (r1_xxreal_0(k3_finseq_1(A), k5_numbers) | k11_matrixr1(k4_matrixr1(B), A)=k6_rvsum_1(k11_matrixr1(B, A))) ) ) ) ) ) ) ).
fof(t53_matrixr2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  (k1_matrix_0(C)=k3_finseq_1(B) =>  (r1_xxreal_0(k3_finseq_1(B), k5_numbers) | k11_matrixr1(C, k10_rvsum_1(B, A))=k10_rvsum_1(k11_matrixr1(C, B), A)) ) ) ) ) ) ) ) ).
fof(t54_matrixr2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  ( (k3_finseq_1(A)=k3_finseq_1(B) &  (k3_finseq_1(B)=k3_finseq_1(C) & k1_matrix_0(B)=k1_matrix_0(C)) )  =>  (r1_xxreal_0(k3_finseq_1(B), k5_numbers) | k12_matrixr1(k5_matrixr1(B, C), A)=k8_rvsum_1(k12_matrixr1(B, A), k12_matrixr1(C, A))) ) ) ) ) ) ) ) ).
fof(t55_matrixr2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  ( (k3_finseq_1(A)=k1_matrix_0(B) &  (k3_finseq_1(B)=k3_finseq_1(C) & k1_matrix_0(B)=k1_matrix_0(C)) )  =>  (r1_xxreal_0(k3_finseq_1(A), k5_numbers) |  (r1_xxreal_0(k3_finseq_1(B), k5_numbers) | k11_matrixr1(k5_matrixr1(B, C), A)=k8_rvsum_1(k11_matrixr1(B, A), k11_matrixr1(C, A))) ) ) ) ) ) ) ) ) ).
fof(t56_matrixr2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (k3_finseq_1(B)=k3_finseq_1(A) => k6_matrixr1(k10_matrixr1(A), B)=k10_matrixr1(k12_matrixr1(B, A))) ) ) ) ) ).
fof(t57_matrixr2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  ( (k3_finseq_1(A)=k3_finseq_1(B) & k1_matrix_0(B)=k3_finseq_1(C))  => k12_matrixr1(k6_matrixr1(B, C), A)=k12_matrixr1(C, k12_matrixr1(B, A))) ) ) ) ) ) ) ).
fof(t58_matrixr2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (k1_matrix_0(B)=k3_finseq_1(A) =>  (r1_xxreal_0(k3_finseq_1(A), k5_numbers) |  (r1_xxreal_0(k3_finseq_1(B), k5_numbers) | k6_matrixr1(B, k9_matrixr1(A))=k9_matrixr1(k11_matrixr1(B, A))) ) ) ) ) ) ) ).
fof(t59_matrixr2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  ( (k3_finseq_1(A)=k1_matrix_0(C) & k1_matrix_0(B)=k3_finseq_1(C))  =>  (r1_xxreal_0(k3_finseq_1(A), k5_numbers) |  (r1_xxreal_0(k3_finseq_1(C), k5_numbers) | k11_matrixr1(k6_matrixr1(B, C), A)=k11_matrixr1(B, k11_matrixr1(C, A))) ) ) ) ) ) ) ) ) ).
fof(t60_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, B, C) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, k1_numbers, C, A) & m2_finseq_1(E, k3_finseq_2(k1_numbers))) )  =>  ( ~ (r1_xxreal_0(B, k5_numbers))  =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  (r2_hidden(k4_tarski(F, G), k2_matrix_0(k6_matrixr1(D, E))) => k3_matrix_0(k1_numbers, k6_matrixr1(D, E), F, G)=k1_funct_1(k12_matrixr1(E, k7_matrix_0(k1_numbers, D, F)), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_hidden(k4_tarski(D, E), k2_matrix_0(k1_matrixr2(A, C, B))) => k3_matrix_0(k1_numbers, k1_matrixr2(A, C, B), D, E)=k1_funct_1(k12_matrixr1(B, k7_matrix_0(k1_numbers, C, D)), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  ( ~ (r1_xxreal_0(A, k5_numbers))  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_hidden(k4_tarski(D, E), k2_matrix_0(k1_matrixr2(A, B, C))) => k3_matrix_0(k1_numbers, k1_matrixr2(A, B, C), D, E)=k1_funct_1(k11_matrixr1(B, k8_matrix_0(k1_numbers, C, E)), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) => k4_matrixr2(A)=k2_matrixr1(k3_matrix_1(k2_vectsp_1, A))) ) ).
fof(t63_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( (! [B] :  (v7_ordinal1(B) =>  (r2_hidden(k4_tarski(B, B), k2_matrix_0(k4_matrixr2(A))) => k3_matrix_0(k1_numbers, k4_matrixr2(A), B, B)=1) ) )  &  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_hidden(k4_tarski(B, C), k2_matrix_0(k4_matrixr2(A))) =>  (B=C | k3_matrix_0(k1_numbers, k4_matrixr2(A), B, C)=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(t64_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) => k4_matrix_0(k1_numbers, k4_matrixr2(A))=k4_matrixr2(A)) ) ).
fof(t65_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k3_matrixr1(k8_matrixr1(A, B), k8_matrixr1(A, B))=k8_matrixr1(A, B)) ) ) ) ) ).
fof(t66_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k7_matrixr1(C, k8_matrixr1(A, B))=k8_matrixr1(A, B)) ) ) ) ) ) ) ).
fof(t67_matrixr2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  => k4_matrix_3(A, B, k3_matrix_1(A, k1_matrix_0(B)))=B) ) ) ) ).
fof(t68_matrixr2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  => k4_matrix_3(A, k3_matrix_1(A, k3_finseq_1(B)), B)=B) ) ) ) ).
fof(t69_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  ( (A=k1_matrix_0(C) => k6_matrixr1(C, k4_matrixr2(A))=C)  &  (B=k3_finseq_1(C) => k6_matrixr1(k4_matrixr2(B), C)=C) ) ) ) ) ) ) ) ).
fof(t70_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  => k1_matrixr2(A, k4_matrixr2(A), B)=B) ) ) ) ).
fof(t71_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  => k1_matrixr2(A, B, k4_matrixr2(A))=B) ) ) ) ).
fof(t72_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) => k3_matrixr2(A, k4_matrixr2(A))=1) ) ).
fof(d3_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) => k5_matrixr2(A)=k8_matrixr1(A, A)) ) ).
fof(t73_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k3_matrixr2(A, k5_matrixr2(A))=k5_numbers) ) ) ).
fof(d4_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k6_matrixr2(A, B)=k2_funct_7(k4_ordinal1, k5_finseq_2(k4_ordinal1, A, k5_numbers), B, 1)) ) ) ) ).
fof(t74_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k3_finseq_1(k6_matrixr2(A, B))=A) ) ) ) ).
fof(t75_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(B, A))  => k1_funct_1(k6_matrixr2(A, B), B)=1) ) ) ) ) ).
fof(t76_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, A))  =>  (B=C | k1_funct_1(k6_matrixr2(A, B), C)=k5_numbers) ) ) ) ) ) ) ) ).
fof(t77_matrixr2, axiom,  (k6_matrixr2(1, 1)=k13_matrix_0(k4_ordinal1, 1) &  (k6_matrixr2(2, 1)=k2_finseq_4(k4_ordinal1, 1, k5_numbers) &  (k6_matrixr2(2, 2)=k2_finseq_4(k4_ordinal1, k5_numbers, 1) &  (k6_matrixr2(3, 1)=k3_finseq_4(k4_ordinal1, 1, k5_numbers, k5_numbers) &  (k6_matrixr2(3, 2)=k3_finseq_4(k4_ordinal1, k5_numbers, 1, k5_numbers) & k6_matrixr2(3, 3)=k3_finseq_4(k4_ordinal1, k5_numbers, k5_numbers, 1)) ) ) ) ) ).
fof(t78_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, B))  => k1_funct_1(k4_matrixr2(B), A)=k6_matrixr2(B, A)) ) ) ) ) ).
fof(d5_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (v1_matrixr2(B, A) <=>  (? [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  &  (k1_matrixr2(A, C, B)=k4_matrixr2(A) & k1_matrixr2(A, B, C)=k4_matrixr2(A)) ) ) ) ) ) ) ) ).
fof(d6_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (v1_matrixr2(B, A) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (C=k7_matrixr2(A, B) <=>  (k1_matrixr2(A, C, B)=k4_matrixr2(A) & k1_matrixr2(A, B, C)=k4_matrixr2(A)) ) ) ) ) ) ) ) ) ).
fof(t79_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) => k7_matrixr2(A, k4_matrixr2(A))=k4_matrixr2(A)) ) ).
fof(t80_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, A, A) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  ( (k1_matrixr2(A, C, B)=k4_matrixr2(A) & k1_matrixr2(A, B, D)=k4_matrixr2(A))  =>  (C=D & v1_matrixr2(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(t81_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (v1_matrixr2(B, A) => k3_matrixr2(A, k7_matrixr2(A, B))=k5_xcmplx_0(k3_matrixr2(A, B))) ) ) ) ) ).
fof(t82_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  ~ ( (v1_matrixr2(B, A) & k3_matrixr2(A, B)=k5_numbers) ) ) ) ) ) ).
fof(t83_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  ( (v1_matrixr2(B, A) & v1_matrixr2(C, A))  =>  (v1_matrixr2(k1_matrixr2(A, B, C), A) & k7_matrixr2(A, k1_matrixr2(A, B, C))=k1_matrixr2(A, k7_matrixr2(A, C), k7_matrixr2(A, B))) ) ) ) ) ) ) ) ).
fof(t84_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (v1_matrixr2(B, A) => k7_matrixr2(A, k7_matrixr2(A, B))=B) ) ) ) ) ).
fof(t85_matrixr2, axiom,  (k4_matrixr2(k5_numbers)=k5_matrixr2(k5_numbers) & k4_matrixr2(k5_numbers)=k1_xboole_0) ).
fof(t86_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (k3_finseq_1(B)=A =>  (r1_xxreal_0(A, k5_numbers) | k11_matrixr1(k4_matrixr2(A), B)=B) ) ) ) ) ) ).
fof(t87_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, A, A) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  ( (v1_matrixr2(D, A) &  (k3_finseq_1(B)=A & k3_finseq_1(C)=A) )  =>  (r1_xxreal_0(A, k5_numbers) |  (k11_matrixr1(D, B)=C <=> B=k11_matrixr1(k7_matrixr2(A, D), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t88_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (k3_finseq_1(B)=A => k12_matrixr1(k4_matrixr2(A), B)=B) ) ) ) ) ).
fof(t89_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, A, A) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  ( (v1_matrixr2(D, A) &  (k3_finseq_1(B)=A & k3_finseq_1(C)=A) )  =>  (k12_matrixr1(D, B)=C <=> B=k12_matrixr1(k7_matrixr2(A, D), C)) ) ) ) ) ) ) ) ) ) ).
fof(t90_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (v1_matrixr2(B, A) =>  (r1_xxreal_0(A, k5_numbers) |  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  ~ ( (k3_finseq_1(C)=A &  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  ~ ( (k3_finseq_1(D)=A & k11_matrixr1(B, D)=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t91_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (v1_matrixr2(B, A) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  ~ ( (k3_finseq_1(C)=A &  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  ~ ( (k3_finseq_1(D)=A & k12_matrixr1(B, D)=C) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t92_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  ( (k3_finseq_1(C)=A &  (k3_finseq_1(D)=A & k12_matrixr1(B, C)=D) )  =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, A))  => k1_funct_1(D, E)=k22_rvsum_1(C, k8_matrix_0(k1_numbers, B, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t93_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  ~ ( ( (! [C] :  (m2_finseq_1(C, k1_numbers) =>  ~ ( (k3_finseq_1(C)=A &  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  ~ ( (k3_finseq_1(D)=A & k12_matrixr1(B, D)=C) ) ) ) ) ) ) )  &  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  ~ (k1_matrixr2(A, C, B)=k4_matrixr2(A)) ) ) ) ) ) ) ) ) ).
fof(t94_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (k3_finseq_1(B)=A =>  (r1_xxreal_0(A, k5_numbers) | k11_matrixr1(k4_matrix_0(k1_numbers, C), B)=k12_matrixr1(C, B)) ) ) ) ) ) ) ) ).
fof(t95_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (k3_finseq_1(B)=A =>  (r1_xxreal_0(A, k5_numbers) | k12_matrixr1(k4_matrix_0(k1_numbers, C), B)=k11_matrixr1(C, B)) ) ) ) ) ) ) ) ).
fof(t96_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( (! [C] :  (m2_finseq_1(C, k1_numbers) =>  ~ ( (k3_finseq_1(C)=A &  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  ~ ( (k3_finseq_1(D)=A & k11_matrixr1(B, D)=C) ) ) ) ) ) ) )  &  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  ~ (k1_matrixr2(A, B, C)=k4_matrixr2(A)) ) ) ) ) ) ) ) ) ) ).
fof(t97_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  ( (! [C] :  (m2_finseq_1(C, k1_numbers) =>  ~ ( (k3_finseq_1(C)=A &  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  (! [E] :  (m2_finseq_1(E, k1_numbers) =>  ~ ( (k3_finseq_1(D)=A &  (k3_finseq_1(E)=A &  (k11_matrixr1(B, D)=C & k12_matrixr1(B, E)=C) ) ) ) ) ) ) ) ) ) ) )  =>  (r1_xxreal_0(A, k5_numbers) | v1_matrixr2(B, A)) ) ) ) ) ) ).
fof(dt_k1_matrixr2, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m1_finseq_1(B, k3_finseq_2(k1_numbers))) )  &  (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m1_finseq_1(C, k3_finseq_2(k1_numbers))) ) ) )  =>  (v1_matrix_0(k1_matrixr2(A, B, C)) &  (v2_matrix_0(k1_matrixr2(A, B, C), k1_numbers, A, A) & m2_finseq_1(k1_matrixr2(A, B, C), k3_finseq_2(k1_numbers))) ) ) ) ).
fof(redefinition_k1_matrixr2, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m1_finseq_1(B, k3_finseq_2(k1_numbers))) )  &  (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, A) & m1_finseq_1(C, k3_finseq_2(k1_numbers))) ) ) )  => k1_matrixr2(A, B, C)=k6_matrixr1(B, C)) ) ).
fof(dt_k2_matrixr2, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m1_finseq_1(B, k3_finseq_2(k1_numbers))) ) )  =>  (v1_matrix_0(k2_matrixr2(A, B)) &  (v2_matrix_0(k2_matrixr2(A, B), u1_struct_0(k2_vectsp_1), A, A) & m2_finseq_1(k2_matrixr2(A, B), k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) ) ) ).
fof(redefinition_k2_matrixr2, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m1_finseq_1(B, k3_finseq_2(k1_numbers))) ) )  => k2_matrixr2(A, B)=k1_matrixr1(B)) ) ).
fof(dt_k3_matrixr2, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m1_finseq_1(B, k3_finseq_2(k1_numbers))) ) )  => v1_xreal_0(k3_matrixr2(A, B))) ) ).
fof(dt_k4_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_matrix_0(k4_matrixr2(A)) &  (v2_matrix_0(k4_matrixr2(A), k1_numbers, A, A) & m2_finseq_1(k4_matrixr2(A), k3_finseq_2(k1_numbers))) ) ) ) ).
fof(dt_k5_matrixr2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_matrix_0(k5_matrixr2(A)) &  (v2_matrix_0(k5_matrixr2(A), k1_numbers, A, A) & m2_finseq_1(k5_matrixr2(A), k3_finseq_2(k1_numbers))) ) ) ) ).
fof(dt_k6_matrixr2, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => m2_finseq_1(k6_matrixr2(A, B), k1_numbers)) ) ).
fof(dt_k7_matrixr2, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, A) & m1_finseq_1(B, k3_finseq_2(k1_numbers))) ) )  =>  (v1_matrix_0(k7_matrixr2(A, B)) &  (v2_matrix_0(k7_matrixr2(A, B), k1_numbers, A, A) & m2_finseq_1(k7_matrixr2(A, B), k3_finseq_2(k1_numbers))) ) ) ) ).
fof(rc1_matrlin, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (l1_vectsp_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v7_vectsp_1(B, A) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & v1_matrlin(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_matrlin, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_finseq_1(B, k3_finseq_2(A)) =>  (v1_matrix_0(B) =>  (v1_matrix_0(B) & v1_pre_poly(B)) ) ) ) ) ) ).
fof(t2_matrlin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, C, k1_nat_1(B, 1), A) & m2_finseq_1(D, k3_finseq_2(C))) )  =>  (! [E] :  ( (v1_matrix_0(E) & m2_finseq_1(E, k3_finseq_2(C)))  =>  ( ( ~ (r1_xxreal_0(B, k5_numbers))  => k1_matrix_0(D)=k1_matrix_0(k1_matrlin(C, k1_nat_1(B, 1), D)))  &  (E=k9_finseq_1(k1_funct_1(D, k1_nat_1(B, 1))) => k1_matrix_0(D)=k1_matrix_0(E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_matrlin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, C, k1_nat_1(B, 1), A) & m2_finseq_1(D, k3_finseq_2(C))) )  =>  (v1_matrix_0(k1_matrlin(C, k1_nat_1(B, 1), D)) &  (v2_matrix_0(k1_matrlin(C, k1_nat_1(B, 1), D), C, B, A) & m2_finseq_1(k1_matrlin(C, k1_nat_1(B, 1), D), k3_finseq_2(C))) ) ) ) ) ) ) ) ) ) ).
fof(t5_matrlin, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_6(C, A, B) =>  (! [D] :  (m1_vectsp_6(D, A, B) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) =>  ( (v1_vectsp_7(E, A, B) &  (r1_tarski(k1_vectsp_6(A, B, C), E) &  (r1_tarski(k1_vectsp_6(A, B, D), E) & k4_vectsp_6(A, B, C)=k4_vectsp_6(A, B, D)) ) )  => r1_vectsp_6(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_matrlin, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_6(C, A, B) =>  (! [D] :  (m1_vectsp_6(D, A, B) =>  (! [E] :  (m1_vectsp_6(E, A, B) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(B))) =>  ( (v1_vectsp_7(F, A, B) &  (r1_tarski(k1_vectsp_6(A, B, C), F) &  (r1_tarski(k1_vectsp_6(A, B, D), F) &  (r1_tarski(k1_vectsp_6(A, B, E), F) & k4_vectsp_6(A, B, C)=k3_rlvect_1(B, k4_vectsp_6(A, B, D), k4_vectsp_6(A, B, E))) ) ) )  => r1_vectsp_6(A, B, C, k5_vectsp_6(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_matrlin, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_vectsp_6(D, A, B) =>  (! [E] :  (m1_vectsp_6(E, A, B) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(B))) =>  ( (v1_vectsp_7(F, A, B) &  (r1_tarski(k1_vectsp_6(A, B, D), F) &  (r1_tarski(k1_vectsp_6(A, B, E), F) & k4_vectsp_6(A, B, D)=k3_vectsp_1(A, B, C, k4_vectsp_6(A, B, E))) ) )  =>  (C=k4_struct_0(A) | r1_vectsp_6(A, B, D, k6_vectsp_6(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_matrlin, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v2_vectsp_7(D, A, B) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))))  =>  (? [E] :  (m1_vectsp_6(E, A, B) &  (C=k4_vectsp_6(A, B, E) & r1_tarski(k1_vectsp_6(A, B, E), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_matrlin, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (v1_matrlin(B, A) <=>  (? [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  &  (v2_vectsp_7(C, A, B) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B)))) ) ) ) ) ) ) ) ).
fof(d2_matrlin, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(B)) =>  (m1_matrlin(C, A, B) <=>  (v2_funct_1(C) &  (v2_vectsp_7(k10_xtuple_0(C), A, B) & m1_subset_1(k10_xtuple_0(C), k1_zfmisc_1(u1_struct_0(B)))) ) ) ) ) ) ) ) ) ).
fof(d3_matrlin, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (F=k3_matrlin(A, B, C, D, E) <=>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) => k3_funct_2(u1_struct_0(B), u1_struct_0(C), F, G)=k1_algstr_0(C, k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, G), k3_funct_2(u1_struct_0(B), u1_struct_0(C), E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_matrlin, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (F=k4_matrlin(A, B, C, D, E) <=>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) => k3_funct_2(u1_struct_0(B), u1_struct_0(C), F, G)=k3_vectsp_1(A, C, E, k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_matrlin, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(B)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(A)) =>  ( (k3_finseq_1(D)=k3_finseq_1(E) &  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_tarski(F, k9_xtuple_0(D)) & G=k1_funct_1(E, F))  => k1_funct_1(D, F)=k3_vectsp_1(A, B, G, C)) ) ) ) ) )  => k4_rlvect_1(B, D)=k3_vectsp_1(A, B, k4_rlvect_1(A, E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_matrlin, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(B)) =>  ( (k3_finseq_1(D)=k3_finseq_1(E) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k9_xtuple_0(D)) => k1_funct_1(E, F)=k3_vectsp_1(A, B, k7_partfun1(u1_struct_0(A), D, F), C)) ) ) )  => k4_rlvect_1(B, E)=k3_vectsp_1(A, B, k4_rlvect_1(A, D), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_matrlin, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  ( (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k9_xtuple_0(B)) => k7_partfun1(u1_struct_0(A), B, C)=k4_struct_0(A)) ) )  => k4_rlvect_1(A, B)=k4_struct_0(A)) ) ) ) ) ).
fof(d5_matrlin, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(B)) => k5_matrlin(A, B, C, D)=k1_finseqop(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_vectsp_1(A, B), C, D)) ) ) ) ) ) ) ) ).
fof(t12_matrlin, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(B)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (k9_xtuple_0(D)=k9_xtuple_0(C) => k9_xtuple_0(k5_matrlin(A, B, D, C))=k9_xtuple_0(D)) ) ) ) ) ) ) ) ) ).
fof(d6_matrlin, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (C=k6_matrlin(A, B) <=>  (k3_finseq_1(C)=k3_finseq_1(B) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k9_xtuple_0(C)) => k7_partfun1(u1_struct_0(A), C, D)=k4_rlvect_1(A, k9_pre_poly(u1_struct_0(A), k4_ordinal1, k3_finseq_2(u1_struct_0(A)), B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_matrlin, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B))))  =>  (k3_finseq_1(C)=k5_numbers => k4_rlvect_1(B, k6_matrlin(B, C))=k4_struct_0(B)) ) ) ) ) ) ) ).
fof(t14_matrlin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, B) &  (v9_vectsp_1(C, B) &  (v10_vectsp_1(C, B) &  (v11_vectsp_1(C, B) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, B) & l1_vectsp_1(C, B)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), k1_nat_1(A, 1), k5_numbers) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  => k4_rlvect_1(C, k6_matrlin(C, D))=k4_struct_0(C)) ) ) ) ) ) ) ) ).
fof(t15_matrlin, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) => k2_matrlin(A, k3_pre_poly(A, B))=k4_matrix_0(A, k2_matrlin(A, k3_pre_poly(A, B)))) ) ) ) ).
fof(t16_matrlin, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(B)) =>  ( (v13_vectsp_1(D, B, C) & v1_mod_2(D, A, B, C))  => k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, k4_rlvect_1(B, E))=k4_rlvect_1(C, k4_finseqop(u1_struct_0(B), u1_struct_0(C), E, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_matrlin, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(A)) =>  (! [F] :  (m2_finseq_1(F, u1_struct_0(B)) =>  ( (k3_finseq_1(F)=k3_finseq_1(E) &  (v13_vectsp_1(D, B, C) & v1_mod_2(D, A, B, C)) )  => k4_finseqop(u1_struct_0(B), u1_struct_0(C), k5_matrlin(A, B, E, F), D)=k5_matrlin(A, C, E, k4_finseqop(u1_struct_0(B), u1_struct_0(C), F, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_matrlin, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (! [E] :  (m1_matrlin(E, A, B) =>  (! [F] :  (m2_finseq_1(F, u1_struct_0(A)) =>  ( (k3_finseq_1(F)=k3_finseq_1(E) &  (v13_vectsp_1(D, B, C) & v1_mod_2(D, A, B, C)) )  => k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, k4_rlvect_1(B, k5_matrlin(A, B, F, E)))=k4_rlvect_1(C, k5_matrlin(A, C, F, k4_finseqop(u1_struct_0(B), u1_struct_0(C), E, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_matrlin, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(B)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_vectsp_6(E, A, B) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k9_xtuple_0(C), k9_xtuple_0(C)) &  (v3_funct_2(F, k9_xtuple_0(C), k9_xtuple_0(C)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k9_xtuple_0(C), k9_xtuple_0(C))))) ) )  =>  (D=k1_partfun1(k9_xtuple_0(C), k9_xtuple_0(C), k4_ordinal1, u1_struct_0(B), F, C) => k3_vectsp_6(A, B, D, E)=k1_partfun1(k9_xtuple_0(C), k9_xtuple_0(C), k4_ordinal1, u1_struct_0(B), F, k3_vectsp_6(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_matrlin, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_vectsp_6(D, A, B) =>  ( (v2_funct_1(C) & r1_tarski(k1_vectsp_6(A, B, D), k10_xtuple_0(C)))  => k4_rlvect_1(B, k3_vectsp_6(A, B, C, D))=k4_vectsp_6(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t21_matrlin, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (! [F] :  (! [G] :  (m2_finseq_1(G, u1_struct_0(B)) =>  ( (r1_tarski(k10_xtuple_0(G), F) &  (v13_vectsp_1(D, B, C) &  (v1_mod_2(D, A, B, C) &  (v13_vectsp_1(E, B, C) &  (v1_mod_2(E, A, B, C) &  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  (r2_tarski(H, F) => k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, H)=k3_funct_2(u1_struct_0(B), u1_struct_0(C), E, H)) ) ) ) ) ) ) )  => k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, k4_rlvect_1(B, G))=k3_funct_2(u1_struct_0(B), u1_struct_0(C), E, k4_rlvect_1(B, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_matrlin, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  ( (v13_vectsp_1(D, B, C) &  (v1_mod_2(D, A, B, C) &  (v13_vectsp_1(E, B, C) & v1_mod_2(E, A, B, C)) ) )  =>  (! [F] :  (m1_matrlin(F, A, B) =>  (k4_finseqop(u1_struct_0(B), u1_struct_0(C), F, D)=k4_finseqop(u1_struct_0(B), u1_struct_0(C), F, E) =>  (r1_xxreal_0(k3_finseq_1(F), k5_numbers) | r2_funct_2(u1_struct_0(B), u1_struct_0(C), D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_matrlin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, E, D, A) & m2_finseq_1(F, k3_finseq_2(E))) )  =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, E, C, A) & m2_finseq_1(G, k3_finseq_2(E))) )  =>  (r2_tarski(B, k9_xtuple_0(F)) => k7_matrix_0(E, k8_matrlin(E, D, C, A, F, G), B)=k7_matrix_0(E, F, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_matrlin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, D, C, A) & m2_finseq_1(E, k3_finseq_2(D))) )  =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, D, B, A) & m2_finseq_1(F, k3_finseq_2(D))) )  =>  (k1_matrix_0(E)=k1_matrix_0(F) => k1_matrix_0(k8_matrlin(D, C, B, A, E, F))=k1_matrix_0(E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_matrlin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( ~ (v1_xboole_0(F))  =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, F, B, A) & m2_finseq_1(G, k3_finseq_2(F))) )  =>  (! [H] :  ( (v1_matrix_0(H) &  (v2_matrix_0(H, F, D, A) & m2_finseq_1(H, k3_finseq_2(F))) )  =>  ( (r2_tarski(E, k9_xtuple_0(H)) & C=k2_xcmplx_0(k3_finseq_1(G), E))  => k7_matrix_0(F, k8_matrlin(F, B, D, A, G, H), C)=k7_matrix_0(F, H, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_matrlin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, D, C, A) & m2_finseq_1(E, k3_finseq_2(D))) )  =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, D, B, A) & m2_finseq_1(F, k3_finseq_2(D))) )  =>  (k1_matrix_0(E)=k1_matrix_0(F) =>  (! [G] :  (v7_ordinal1(G) =>  (r2_tarski(G, k2_finseq_1(k1_matrix_0(E))) => k8_matrix_0(D, k8_matrlin(D, C, B, A, E, F), G)=k8_finseq_1(D, k8_matrix_0(D, E, G), k8_matrix_0(D, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_matrlin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v6_struct_0(D))  &  (v13_algstr_0(D) &  (v33_algstr_0(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v3_group_1(D) &  (v5_group_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v13_algstr_0(E) &  (v8_vectsp_1(E, D) &  (v9_vectsp_1(E, D) &  (v10_vectsp_1(E, D) &  (v11_vectsp_1(E, D) &  (v2_rlvect_1(E) &  (v3_rlvect_1(E) &  (v4_rlvect_1(E) & l1_vectsp_1(E, D)) ) ) ) ) ) ) ) )  =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(E), C, A) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(E)))) )  =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, u1_struct_0(E), B, A) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(E)))) )  => k6_matrlin(E, k8_matrlin(u1_struct_0(E), C, B, A, F, G))=k8_finseq_1(u1_struct_0(E), k6_matrlin(E, F), k6_matrlin(E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_matrlin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, D, C, A) & m2_finseq_1(E, k3_finseq_2(D))) )  =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, D, B, A) & m2_finseq_1(F, k3_finseq_2(D))) )  =>  (k1_matrix_0(E)=k1_matrix_0(F) => k4_matrix_0(D, k8_matrlin(D, C, B, A, E, F))=k7_matrlin(D, k4_matrix_0(D, E), k4_matrix_0(D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_matrlin, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B))))  => k3_fvsum_1(B, k6_matrlin(B, C), k6_matrlin(B, D))=k6_matrlin(B, k7_matrlin(u1_struct_0(B), C, D))) ) ) ) ) ) ) ) ).
fof(t30_matrlin, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(B)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(B)) =>  (k3_finseq_1(C)=k3_finseq_1(D) => k4_rlvect_1(B, k3_fvsum_1(B, C, D))=k3_rlvect_1(B, k4_rlvect_1(B, C), k4_rlvect_1(B, D))) ) ) ) ) ) ) ) ) ).
fof(t31_matrlin, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B))))  =>  (k3_finseq_1(C)=k3_finseq_1(D) => k3_rlvect_1(B, k4_rlvect_1(B, k6_matrlin(B, C)), k4_rlvect_1(B, k6_matrlin(B, D)))=k4_rlvect_1(B, k6_matrlin(B, k7_matrlin(u1_struct_0(B), C, D)))) ) ) ) ) ) ) ) ) ).
fof(t32_matrlin, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B))))  => k4_rlvect_1(B, k6_matrlin(B, C))=k4_rlvect_1(B, k6_matrlin(B, k4_matrix_0(u1_struct_0(B), C)))) ) ) ) ) ) ).
fof(t33_matrlin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v8_vectsp_1(D, C) &  (v9_vectsp_1(D, C) &  (v10_vectsp_1(D, C) &  (v11_vectsp_1(D, C) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v1_matrlin(D, C) & l1_vectsp_1(D, C)) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(C), B, A) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(C)))) )  =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  ( ~ (r1_xxreal_0(A, k5_numbers))  &  (? [F] :  (m2_finseq_1(F, u1_struct_0(C)) &  (? [G] :  (m2_finseq_1(G, u1_struct_0(C)) &  (k3_finseq_1(F)=B &  (k3_finseq_1(G)=A &  ( (! [H] :  (v7_ordinal1(H) =>  (r2_tarski(H, k9_xtuple_0(G)) => k7_partfun1(u1_struct_0(C), G, H)=k4_rlvect_1(C, k11_fvsum_1(C, F, k8_matrix_0(u1_struct_0(C), E, H)))) ) )  &  (? [H] :  (m2_finseq_1(H, u1_struct_0(D)) &  (? [I] :  (m2_finseq_1(I, u1_struct_0(D)) &  (k3_finseq_1(H)=A &  (k3_finseq_1(I)=B &  ( (! [J] :  (v7_ordinal1(J) =>  (r2_tarski(J, k9_xtuple_0(I)) => k7_partfun1(u1_struct_0(D), I, J)=k4_rlvect_1(D, k5_matrlin(C, D, k7_matrix_0(u1_struct_0(C), E, J), H))) ) )  &  ~ (k4_rlvect_1(D, k5_matrlin(C, D, F, I))=k4_rlvect_1(D, k5_matrlin(C, D, G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_matrlin, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_matrlin(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(A)) =>  (E=k9_matrlin(A, B, C, D) <=>  (k3_finseq_1(E)=k3_finseq_1(C) &  (? [F] :  (m1_vectsp_6(F, A, B) &  (D=k4_vectsp_6(A, B, F) &  (r1_tarski(k1_vectsp_6(A, B, F), k10_xtuple_0(C)) &  (! [G] :  (v7_ordinal1(G) =>  ( (r1_xxreal_0(1, G) & r1_xxreal_0(G, k3_finseq_1(E)))  => k7_partfun1(u1_struct_0(A), E, G)=k3_funct_2(u1_struct_0(B), u1_struct_0(A), F, k7_partfun1(u1_struct_0(B), C, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_matrlin, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_matrlin(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (k9_matrlin(A, B, C, D)=k9_matrlin(A, B, C, E) => D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_matrlin, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_matrlin(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => D=k4_rlvect_1(B, k5_matrlin(A, B, k9_matrlin(A, B, C, D), C))) ) ) ) ) ) ) ) ).
fof(t36_matrlin, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_matrlin(C, A, B) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (k3_finseq_1(D)=k3_finseq_1(C) => D=k9_matrlin(A, B, C, k4_rlvect_1(B, k5_matrlin(A, B, D, C)))) ) ) ) ) ) ) ) ) ).
fof(t37_matrlin, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (! [E] :  (m1_matrlin(E, A, B) =>  (! [F] :  (m1_matrlin(F, A, C) =>  (! [G] :  (m2_finseq_1(G, u1_struct_0(A)) =>  (! [H] :  (m2_finseq_1(H, u1_struct_0(A)) =>  (k3_finseq_1(G)=k3_finseq_1(E) =>  (! [I] :  (v7_ordinal1(I) =>  ( (r2_tarski(I, k9_xtuple_0(F)) &  (k3_finseq_1(H)=k3_finseq_1(E) &  (! [J] :  (v7_ordinal1(J) =>  (r2_tarski(J, k9_xtuple_0(E)) => k1_funct_1(H, J)=k7_partfun1(u1_struct_0(A), k9_matrlin(A, C, F, k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, k7_partfun1(u1_struct_0(B), E, J))), I)) ) ) ) )  =>  (r1_xxreal_0(k3_finseq_1(E), k5_numbers) | k7_partfun1(u1_struct_0(A), k9_matrlin(A, C, F, k4_rlvect_1(C, k5_matrlin(A, C, G, k4_finseqop(u1_struct_0(B), u1_struct_0(C), E, D)))), I)=k4_rlvect_1(A, k11_fvsum_1(A, G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_matrlin, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_matrlin(F, A, C) =>  (! [G] :  ( (v1_matrix_0(G) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(A))))  =>  (G=k10_matrlin(A, B, C, D, E, F) <=>  (k3_finseq_1(G)=k3_finseq_1(E) &  (! [H] :  (v7_ordinal1(H) =>  (r2_tarski(H, k9_xtuple_0(E)) => k9_pre_poly(u1_struct_0(A), k4_ordinal1, k3_finseq_2(u1_struct_0(A)), G, H)=k9_matrlin(A, C, F, k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, k7_partfun1(u1_struct_0(B), E, H)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_matrlin, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (! [E] :  (m1_matrlin(E, A, B) =>  (! [F] :  (m1_matrlin(F, A, C) =>  (k3_finseq_1(E)=k5_numbers => k10_matrlin(A, B, C, D, E, F)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_matrlin, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (! [E] :  (m1_matrlin(E, A, B) =>  (! [F] :  (m1_matrlin(F, A, C) =>  ( ~ (r1_xxreal_0(k3_finseq_1(E), k5_numbers))  => k1_matrix_0(k10_matrlin(A, B, C, D, E, F))=k3_finseq_1(F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_matrlin, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (! [F] :  (m1_matrlin(F, A, B) =>  (! [G] :  (m1_matrlin(G, A, C) =>  ( (v13_vectsp_1(D, B, C) &  (v1_mod_2(D, A, B, C) &  (v13_vectsp_1(E, B, C) &  (v1_mod_2(E, A, B, C) & k10_matrlin(A, B, C, D, F, G)=k10_matrlin(A, B, C, E, F, G)) ) ) )  =>  (r1_xxreal_0(k3_finseq_1(F), k5_numbers) | r2_funct_2(u1_struct_0(B), u1_struct_0(C), D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_matrlin, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v8_vectsp_1(D, A) &  (v9_vectsp_1(D, A) &  (v10_vectsp_1(D, A) &  (v11_vectsp_1(D, A) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v1_matrlin(D, A) & l1_vectsp_1(D, A)) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(C), u1_struct_0(D)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D))))) )  =>  (! [G] :  (m1_matrlin(G, A, B) =>  (! [H] :  (m1_matrlin(H, A, C) =>  (! [I] :  (m1_matrlin(I, A, D) =>  ( (v13_vectsp_1(F, C, D) & v1_mod_2(F, A, C, D))  =>  (r1_xxreal_0(k3_finseq_1(G), k5_numbers) |  (r1_xxreal_0(k3_finseq_1(H), k5_numbers) | k10_matrlin(A, B, D, k1_partfun1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(C), u1_struct_0(D), E, F), G, I)=k4_matrix_3(A, k10_matrlin(A, B, C, E, G, H), k10_matrlin(A, C, D, F, H, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_matrlin, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (! [F] :  (m1_matrlin(F, A, B) =>  (! [G] :  (m1_matrlin(G, A, C) => k10_matrlin(A, B, C, k3_matrlin(A, B, C, D, E), F, G)=k3_matrix_3(A, k10_matrlin(A, B, C, D, F, G), k10_matrlin(A, B, C, E, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_matrlin, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v8_vectsp_1(D, A) &  (v9_vectsp_1(D, A) &  (v10_vectsp_1(D, A) &  (v11_vectsp_1(D, A) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v1_matrlin(D, A) & l1_vectsp_1(D, A)) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D))))) )  =>  (! [F] :  (m1_matrlin(F, A, C) =>  (! [G] :  (m1_matrlin(G, A, D) =>  ( ~ (B=k4_struct_0(A))  => k10_matrlin(A, C, D, k4_matrlin(A, C, D, E, B), F, G)=k6_matrix_3(A, k10_matrlin(A, C, D, E, F, G), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_matrlin, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  (v1_matrix_0(C) & m1_finseq_1(C, k3_finseq_2(A))) ) )  =>  (v1_matrix_0(k1_matrlin(A, B, C)) & m2_finseq_1(k1_matrlin(A, B, C), k3_finseq_2(A))) ) ) ).
fof(redefinition_k1_matrlin, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  (v1_matrix_0(C) & m1_finseq_1(C, k3_finseq_2(A))) ) )  => k1_matrlin(A, B, C)=k2_finseq_3(B, C)) ) ).
fof(dt_k2_matrlin, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(B, A))  =>  (v1_matrix_0(k2_matrlin(A, B)) &  (v2_matrix_0(k2_matrlin(A, B), A, 1, k3_finseq_1(B)) & m2_finseq_1(k2_matrlin(A, B), k3_finseq_2(A))) ) ) ) ).
fof(redefinition_k2_matrlin, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(B, A))  => k2_matrlin(A, B)=k5_finseq_1(B)) ) ).
fof(dt_m1_matrlin, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_matrlin(C, A, B) => m2_finseq_1(C, u1_struct_0(B))) ) ) ) ).
fof(existence_m1_matrlin, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) ) )  =>  (? [C] : m1_matrlin(C, A, B)) ) ) ).
fof(dt_k3_matrlin, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) ) )  =>  (v1_funct_1(k3_matrlin(A, B, C, D, E)) &  (v1_funct_2(k3_matrlin(A, B, C, D, E), u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(k3_matrlin(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) ).
fof(dt_k4_matrlin, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  & m1_subset_1(E, u1_struct_0(A))) ) ) )  =>  (v1_funct_1(k4_matrlin(A, B, C, D, E)) &  (v1_funct_2(k4_matrlin(A, B, C, D, E), u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(k4_matrlin(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) ).
fof(dt_k5_matrlin, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  &  (m1_finseq_1(C, u1_struct_0(A)) & m1_finseq_1(D, u1_struct_0(B))) ) )  => m2_finseq_1(k5_matrlin(A, B, C, D), u1_struct_0(B))) ) ).
fof(dt_k6_matrlin, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  & m1_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  => m2_finseq_1(k6_matrlin(A, B), u1_struct_0(A))) ) ).
fof(dt_k7_matrlin, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(A)))  &  (v1_matrix_0(C) & m1_finseq_1(C, k3_finseq_2(A))) ) )  =>  (v1_matrix_0(k7_matrlin(A, B, C)) & m2_finseq_1(k7_matrlin(A, B, C), k3_finseq_2(A))) ) ) ).
fof(redefinition_k7_matrlin, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(A)))  &  (v1_matrix_0(C) & m1_finseq_1(C, k3_finseq_2(A))) ) )  => k7_matrlin(A, B, C)=k8_pre_poly(B, C)) ) ).
fof(dt_k8_matrlin, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  (v7_ordinal1(D) &  ( (v1_matrix_0(E) &  (v2_matrix_0(E, A, B, D) & m1_finseq_1(E, k3_finseq_2(A))) )  &  (v1_matrix_0(F) &  (v2_matrix_0(F, A, C, D) & m1_finseq_1(F, k3_finseq_2(A))) ) ) ) ) ) )  =>  (v1_matrix_0(k8_matrlin(A, B, C, D, E, F)) &  (v2_matrix_0(k8_matrlin(A, B, C, D, E, F), A, k2_xcmplx_0(B, C), D) & m2_finseq_1(k8_matrlin(A, B, C, D, E, F), k3_finseq_2(A))) ) ) ) ).
fof(redefinition_k8_matrlin, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  (v7_ordinal1(D) &  ( (v1_matrix_0(E) &  (v2_matrix_0(E, A, B, D) & m1_finseq_1(E, k3_finseq_2(A))) )  &  (v1_matrix_0(F) &  (v2_matrix_0(F, A, C, D) & m1_finseq_1(F, k3_finseq_2(A))) ) ) ) ) ) )  => k8_matrlin(A, B, C, D, E, F)=k7_finseq_1(E, F)) ) ).
fof(dt_k9_matrlin, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  &  (m1_matrlin(C, A, B) & m1_subset_1(D, u1_struct_0(B))) ) )  => m2_finseq_1(k9_matrlin(A, B, C, D), u1_struct_0(A))) ) ).
fof(dt_k10_matrlin, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  &  (m1_finseq_1(E, u1_struct_0(B)) & m1_matrlin(F, A, C)) ) ) ) )  =>  (v1_matrix_0(k10_matrlin(A, B, C, D, E, F)) & m2_finseq_1(k10_matrlin(A, B, C, D, E, F), k3_finseq_2(u1_struct_0(A)))) ) ) ).
fof(fc1_matrlin2, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  &  (m1_matrlin(D, A, B) &  (m1_finseq_1(E, u1_struct_0(C)) &  (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(A), k3_finseq_1(D), k3_finseq_1(E)) & m1_finseq_1(F, k3_finseq_2(u1_struct_0(A)))) ) ) ) ) ) )  =>  (v1_funct_1(k4_matrlin2(A, B, C, D, E, F)) &  (v1_funct_2(k4_matrlin2(A, B, C, D, E, F), u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(k4_matrlin2(A, B, C, D, E, F), B, C) & v1_mod_2(k4_matrlin2(A, B, C, D, E, F), A, B, C)) ) ) ) ) ).
fof(fc2_matrlin2, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(D, B, C) &  (v1_mod_2(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  &  (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(E, B, C) &  (v1_mod_2(E, A, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) ) ) ) )  =>  (v1_funct_1(k3_matrlin(A, B, C, D, E)) &  (v1_funct_2(k3_matrlin(A, B, C, D, E), u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(k3_matrlin(A, B, C, D, E), B, C) & v1_mod_2(k3_matrlin(A, B, C, D, E), A, B, C)) ) ) ) ) ).
fof(fc3_matrlin2, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(D, B, C) &  (v1_mod_2(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  & m1_subset_1(E, u1_struct_0(A))) ) ) )  =>  (v1_funct_1(k4_matrlin(A, B, C, D, E)) &  (v1_funct_2(k4_matrlin(A, B, C, D, E), u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(k4_matrlin(A, B, C, D, E), B, C) & v1_mod_2(k4_matrlin(A, B, C, D, E), A, B, C)) ) ) ) ) ).
fof(t1_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_vectsp_4(D, A, B) =>  (! [E] :  (m1_vectsp_4(E, A, B) =>  (! [F] :  (m1_vectsp_4(F, A, E) =>  (! [G] :  (m1_vectsp_4(G, A, E) =>  ( (F=C & G=D)  =>  (k2_vectsp_5(A, B, C, D)=k2_vectsp_5(A, E, F, G) & k1_vectsp_5(A, B, C, D)=k1_vectsp_5(A, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_vectsp_4(D, A, B) =>  (k2_vectsp_5(A, B, C, D)=k1_vectsp_4(A, B) =>  (! [E] :  ( (v1_vectsp_7(E, A, C) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(C))))  =>  (! [F] :  ( (v1_vectsp_7(F, A, D) & m1_subset_1(F, k1_zfmisc_1(u1_struct_0(D))))  =>  (v1_vectsp_7(k2_xboole_0(E, F), A, k1_vectsp_5(A, B, C, D)) & m1_subset_1(k2_xboole_0(E, F), k1_zfmisc_1(u1_struct_0(k1_vectsp_5(A, B, C, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_vectsp_4(D, A, B) =>  (k2_vectsp_5(A, B, C, D)=k1_vectsp_4(A, B) =>  (! [E] :  ( (v2_vectsp_7(E, A, C) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(C))))  =>  (! [F] :  ( (v2_vectsp_7(F, A, D) & m1_subset_1(F, k1_zfmisc_1(u1_struct_0(D))))  =>  (v2_vectsp_7(k2_xboole_0(E, F), A, k1_vectsp_5(A, B, C, D)) & m1_subset_1(k2_xboole_0(E, F), k1_zfmisc_1(u1_struct_0(k1_vectsp_5(A, B, C, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_matrlin(C, A, k2_vectsp_4(A, B)) => m1_matrlin(C, A, B)) ) ) ) ) ) ).
fof(t5_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (k1_vectsp_9(A, k1_vectsp_7(A, B, C))=k4_card_1(C) => v1_vectsp_7(C, A, B)) ) ) ) ) ) ) ).
fof(t6_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  => r1_xxreal_0(k1_vectsp_9(A, k1_vectsp_7(A, B, C)), k4_card_1(C))) ) ) ) ) ) ).
fof(t7_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(B)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(A)) => k5_matrlin(A, B, k3_fvsum_1(A, D, E), C)=k3_fvsum_1(B, k5_matrlin(A, B, D, C), k5_matrlin(A, B, E, C))) ) ) ) ) ) ) ) ) ) ).
fof(t8_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(B)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(B)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(A)) => k5_matrlin(A, B, E, k3_fvsum_1(B, C, D))=k3_fvsum_1(B, k5_matrlin(A, B, E, C), k5_matrlin(A, B, E, D))) ) ) ) ) ) ) ) ) ) ).
fof(t9_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(B)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(B)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(A)) =>  (! [F] :  (m2_finseq_1(F, u1_struct_0(A)) =>  ( (k3_finseq_1(E)=k3_finseq_1(C) & k3_finseq_1(F)=k3_finseq_1(D))  => k5_matrlin(A, B, k8_finseq_1(u1_struct_0(A), E, F), k8_finseq_1(u1_struct_0(B), C, D))=k8_finseq_1(u1_struct_0(B), k5_matrlin(A, B, E, C), k5_matrlin(A, B, F, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(B)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(B)) =>  (k3_finseq_1(C)=k3_finseq_1(D) => k4_rlvect_1(B, k3_fvsum_1(B, C, D))=k3_rlvect_1(B, k4_rlvect_1(B, C), k4_rlvect_1(B, D))) ) ) ) ) ) ) ) ) ).
fof(t11_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(C)) => k4_rlvect_1(C, k5_matrlin(A, C, k5_finseq_2(u1_struct_0(A), k3_finseq_1(D), B), D))=k3_vectsp_1(A, C, B, k4_rlvect_1(C, D))) ) ) ) ) ) ) ) ).
fof(t12_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) => k4_rlvect_1(B, k5_matrlin(A, B, D, k5_finseq_2(u1_struct_0(B), k3_finseq_1(D), C)))=k3_vectsp_1(A, B, k4_rlvect_1(A, D), C)) ) ) ) ) ) ) ) ).
fof(t13_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(C)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(A)) => k4_rlvect_1(C, k5_matrlin(A, C, k9_fvsum_1(A, E, B), D))=k3_vectsp_1(A, C, B, k4_rlvect_1(C, k5_matrlin(A, C, E, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t14_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_vectsp_4(E, A, B) =>  (! [F] :  (m2_finseq_1(F, u1_struct_0(E)) =>  (D=F => k5_matrlin(A, B, C, D)=k5_matrlin(A, E, C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_vectsp_4(D, A, B) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(D)) =>  (C=E => k4_rlvect_1(B, C)=k4_rlvect_1(D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_matrlin2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, B) &  (v9_vectsp_1(C, B) &  (v10_vectsp_1(C, B) &  (v11_vectsp_1(C, B) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, B) & l1_vectsp_1(C, B)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(C)) =>  (r2_tarski(A, k4_finseq_1(D)) => k4_rlvect_1(C, k5_matrlin(B, C, k7_matrix_0(u1_struct_0(B), k3_matrix_1(B, k3_finseq_1(D)), A), D))=k7_partfun1(u1_struct_0(C), D, A)) ) ) ) ) ) ) ) ) ).
fof(t17_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_matrlin(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => k9_matrlin(A, B, C, k3_rlvect_1(B, D, E))=k3_fvsum_1(A, k9_matrlin(A, B, C, D), k9_matrlin(A, B, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t18_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_matrlin(D, A, C) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) => k9_matrlin(A, C, D, k3_vectsp_1(A, C, B, E))=k9_fvsum_1(A, k9_matrlin(A, C, D, E), B)) ) ) ) ) ) ) ) ) ) ).
fof(t19_matrlin2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, B) &  (v9_vectsp_1(C, B) &  (v10_vectsp_1(C, B) &  (v11_vectsp_1(C, B) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, B) & l1_vectsp_1(C, B)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_matrlin(D, B, C) =>  (r2_tarski(A, k4_finseq_1(D)) => k9_matrlin(B, C, D, k7_partfun1(u1_struct_0(C), D, A))=k7_matrix_0(u1_struct_0(B), k3_matrix_1(B, k3_finseq_1(D)), A)) ) ) ) ) ) ) ) ) ).
fof(t20_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_matrlin(C, A, B) => k9_matrlin(A, B, C, k4_struct_0(B))=k5_finseq_2(u1_struct_0(A), k3_finseq_1(C), k4_struct_0(A))) ) ) ) ) ) ).
fof(t21_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_matrlin(C, A, B) => k3_finseq_1(C)=k1_vectsp_9(A, B)) ) ) ) ) ) ).
fof(t22_matrlin2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, B) &  (v9_vectsp_1(C, B) &  (v10_vectsp_1(C, B) &  (v11_vectsp_1(C, B) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, B) & l1_vectsp_1(C, B)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_matrlin(D, B, C) =>  ( (v1_vectsp_7(k10_xtuple_0(k17_finseq_1(u1_struct_0(C), A, D)), B, C) & m1_subset_1(k10_xtuple_0(k17_finseq_1(u1_struct_0(C), A, D)), k1_zfmisc_1(u1_struct_0(C))))  &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(C))) =>  (E=k10_xtuple_0(k17_finseq_1(u1_struct_0(C), A, D)) => m1_matrlin(k17_finseq_1(u1_struct_0(C), A, D), B, k1_vectsp_7(B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_matrlin2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, B) &  (v9_vectsp_1(C, B) &  (v10_vectsp_1(C, B) &  (v11_vectsp_1(C, B) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, B) & l1_vectsp_1(C, B)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_matrlin(D, B, C) =>  ( (v1_vectsp_7(k10_xtuple_0(k2_rfinseq(u1_struct_0(C), A, D)), B, C) & m1_subset_1(k10_xtuple_0(k2_rfinseq(u1_struct_0(C), A, D)), k1_zfmisc_1(u1_struct_0(C))))  &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(C))) =>  (E=k10_xtuple_0(k2_rfinseq(u1_struct_0(C), A, D)) => m1_matrlin(k2_rfinseq(u1_struct_0(C), A, D), B, k1_vectsp_7(B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_vectsp_4(D, A, B) =>  (k2_vectsp_5(A, B, C, D)=k1_vectsp_4(A, B) =>  (! [E] :  (m1_matrlin(E, A, C) =>  (! [F] :  (m1_matrlin(F, A, D) =>  (! [G] :  (m1_matrlin(G, A, k1_vectsp_5(A, B, C, D)) =>  (G=k7_finseq_1(E, F) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k1_vectsp_5(A, B, C, D))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k1_vectsp_5(A, B, C, D))) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(k1_vectsp_5(A, B, C, D))) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(C)) =>  (! [L] :  (m1_subset_1(L, u1_struct_0(D)) =>  ( (H=k3_rlvect_1(k1_vectsp_5(A, B, C, D), I, J) &  (I=K & J=L) )  => k9_matrlin(A, k1_vectsp_5(A, B, C, D), G, H)=k8_finseq_1(u1_struct_0(A), k9_matrlin(A, C, E, K), k9_matrlin(A, D, F, L))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_matrlin(C, A, B) =>  (! [D] :  (m1_vectsp_4(D, A, B) =>  (D=k2_vectsp_4(A, B) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(D)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_matrlin(G, A, D) =>  ( (F=E & C=G)  => k9_matrlin(A, B, C, F)=k9_matrlin(A, D, G, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_vectsp_4(D, A, B) =>  (k2_vectsp_5(A, B, C, D)=k1_vectsp_4(A, B) =>  (! [E] :  (m1_matrlin(E, A, C) =>  (! [F] :  (m1_matrlin(F, A, D) => m1_matrlin(k7_finseq_1(E, F), A, k1_vectsp_5(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_matrlin2, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (v1_relat_1(B) => k2_matrlin2(A, B)=k5_relat_1(B, u1_struct_0(A))) ) ) ) ).
fof(t27_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_matrlin(D, A, B) =>  (! [E] :  (m1_matrlin(E, A, C) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(F, B, C) &  (v1_mod_2(F, A, B, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  (! [G] :  (m1_vectsp_4(G, A, B) =>  (! [H] :  (m1_vectsp_4(H, A, B) =>  (! [I] :  (m1_vectsp_4(I, A, C) =>  (! [J] :  (m1_vectsp_4(J, A, C) =>  (r1_vectsp_5(A, C, I, J) =>  ( (k1_vectsp_9(A, G)=k5_numbers &  ~ (k1_vectsp_9(A, I)=k5_numbers) )  |  ( (k1_vectsp_9(A, H)=k5_numbers &  ~ (k1_vectsp_9(A, J)=k5_numbers) )  |  (! [K] :  ( (v1_funct_1(K) &  (v1_funct_2(K, u1_struct_0(G), u1_struct_0(I)) &  (v13_vectsp_1(K, G, I) &  (v1_mod_2(K, A, G, I) & m1_subset_1(K, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(G), u1_struct_0(I))))) ) ) )  =>  (! [L] :  ( (v1_funct_1(L) &  (v1_funct_2(L, u1_struct_0(H), u1_struct_0(J)) &  (v13_vectsp_1(L, H, J) &  (v1_mod_2(L, A, H, J) & m1_subset_1(L, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(H), u1_struct_0(J))))) ) ) )  =>  ( (K=k2_matrlin2(G, F) & L=k2_matrlin2(H, F))  =>  (! [M] :  (m1_matrlin(M, A, G) =>  (! [N] :  (m1_matrlin(N, A, H) =>  (! [O] :  (m1_matrlin(O, A, I) =>  (! [P] :  (m1_matrlin(P, A, J) =>  ( (k7_finseq_1(M, N)=D & k7_finseq_1(O, P)=E)  => k1_matrlin2(A, B, C, F, D, E)=k13_matrixj1(u1_struct_0(A), k4_struct_0(A), k5_matrixj1(u1_struct_0(A), k1_matrlin2(A, G, I, K, M, O), k1_matrlin2(A, H, J, L, N, P)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_matrlin(F, A, C) =>  (k3_finseq_1(E)=k3_finseq_1(F) => k3_matrlin2(A, B, C, D, E, F)=k1_matrlin2(A, B, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_matrlin(C, A, B) => k1_matrlin2(A, B, B, k3_struct_0(B), C, C)=k3_matrix_1(A, k3_finseq_1(C))) ) ) ) ) ) ).
fof(t29_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_matrlin(C, A, B) =>  (! [D] :  (m1_matrlin(D, A, B) =>  (v1_matrix_6(k3_matrlin2(A, B, B, k3_struct_0(B), C, D), k3_finseq_1(C), A) & k3_matrlin2(A, B, B, k3_struct_0(B), D, C)=k1_matrix_6(k3_finseq_1(C), A, k3_matrlin2(A, B, B, k3_struct_0(B), C, D))) ) ) ) ) ) ) ) ) ).
fof(t30_matrlin2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, B) &  (v9_vectsp_1(C, B) &  (v10_vectsp_1(C, B) &  (v11_vectsp_1(C, B) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, B) & l1_vectsp_1(C, B)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_matrlin(D, B, C) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(C)) =>  (! [F] :  (m2_finseq_1(F, u1_struct_0(B)) =>  (! [G] :  (m2_finseq_1(G, u1_struct_0(B)) =>  ( (k3_finseq_1(F)=k3_finseq_1(G) &  (k3_finseq_1(F)=k3_finseq_1(E) &  (r2_tarski(A, k4_finseq_1(D)) &  (! [H] :  (v7_ordinal1(H) =>  (r2_tarski(H, k4_finseq_1(G)) => k1_funct_1(G, H)=k1_funct_1(k9_matrlin(B, C, D, k7_partfun1(u1_struct_0(C), E, H)), A)) ) ) ) ) )  =>  (r1_xxreal_0(k3_finseq_1(F), k5_numbers) | k13_fvsum_1(B, F, G)=k1_funct_1(k9_matrlin(B, C, D, k4_rlvect_1(C, k5_matrlin(B, C, F, E))), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (! [E] :  (m1_matrlin(E, A, B) =>  (! [F] :  (m1_matrlin(F, A, C) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  ( (v13_vectsp_1(D, B, C) & v1_mod_2(D, A, B, C))  =>  (r1_xxreal_0(k3_finseq_1(E), k5_numbers) | k4_matrix_3(A, k2_matrix15(u1_struct_0(A), k9_matrlin(A, B, E, G)), k1_matrlin2(A, B, C, D, E, F))=k2_matrix15(u1_struct_0(A), k9_matrlin(A, C, F, k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_matrlin(D, A, B) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(C)) =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(A), k3_finseq_1(D), k3_finseq_1(E)) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(A)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (G=k4_matrlin2(A, B, C, D, E, F) <=>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) => k3_funct_2(u1_struct_0(B), u1_struct_0(C), G, H)=k4_rlvect_1(C, k5_matrlin(A, C, k7_matrix_0(u1_struct_0(A), k4_matrix_3(A, k2_matrix15(u1_struct_0(A), k9_matrlin(A, B, D, H)), F), 1), E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_matrlin(D, A, B) =>  (! [E] :  (m1_matrlin(E, A, C) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, u1_struct_0(A), k3_finseq_1(D), k3_finseq_1(E)) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(A)))) )  =>  ( ~ (r1_xxreal_0(k3_finseq_1(D), k5_numbers))  => k2_matrix15(u1_struct_0(A), k9_matrlin(A, C, E, k3_funct_2(u1_struct_0(B), u1_struct_0(C), k4_matrlin2(A, B, C, D, E, G), F)))=k4_matrix_3(A, k2_matrix15(u1_struct_0(A), k9_matrlin(A, B, D, F)), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_matrlin(D, A, B) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(C)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, u1_struct_0(A), k3_finseq_1(D), k3_finseq_1(E)) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(A)))) )  =>  (k3_finseq_1(D)=k5_numbers => k3_funct_2(u1_struct_0(B), u1_struct_0(C), k4_matrlin2(A, B, C, D, E, G), F)=k4_struct_0(C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (! [E] :  (m1_matrlin(E, A, B) =>  (! [F] :  (m1_matrlin(F, A, C) =>  ( (v13_vectsp_1(D, B, C) & v1_mod_2(D, A, B, C))  => r2_funct_2(u1_struct_0(B), u1_struct_0(C), k4_matrlin2(A, B, C, E, F, k1_matrlin2(A, B, C, D, E, F)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_matrlin2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B))))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B))))  =>  ( (r2_tarski(A, k4_finseq_1(C)) & k1_matrix_0(C)=k3_finseq_1(D))  => k4_matrix_3(B, k2_matrix15(u1_struct_0(B), k7_matrix_0(u1_struct_0(B), C, A)), D)=k2_matrix15(u1_struct_0(B), k7_matrix_0(u1_struct_0(B), k4_matrix_3(B, C, D), A))) ) ) ) ) ) ) ) ) ).
fof(t36_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_matrlin(D, A, B) =>  (! [E] :  (m1_matrlin(E, A, C) =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(A), k3_finseq_1(D), k3_finseq_1(E)) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(A)))) )  => k1_matrlin2(A, B, C, k4_matrlin2(A, B, C, D, E, F), D, E)=F) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_matrlin(D, A, B) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(C)) =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(A), k3_finseq_1(D), k3_finseq_1(E)) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(A)))) )  =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, u1_struct_0(A), k3_finseq_1(D), k3_finseq_1(E)) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(A)))) )  => r2_funct_2(u1_struct_0(B), u1_struct_0(C), k4_matrlin2(A, B, C, D, E, k5_matrlin2(k3_finseq_1(D), k3_finseq_1(E), A, F, G)), k3_matrlin(A, B, C, k4_matrlin2(A, B, C, D, E, F), k4_matrlin2(A, B, C, D, E, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v8_vectsp_1(D, A) &  (v9_vectsp_1(D, A) &  (v10_vectsp_1(D, A) &  (v11_vectsp_1(D, A) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v1_matrlin(D, A) & l1_vectsp_1(D, A)) ) ) ) ) ) ) ) ) )  =>  (! [E] :  (m1_matrlin(E, A, C) =>  (! [F] :  (m2_finseq_1(F, u1_struct_0(D)) =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, u1_struct_0(A), k3_finseq_1(E), k3_finseq_1(F)) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(A)))) )  => r2_funct_2(u1_struct_0(C), u1_struct_0(D), k4_matrlin(A, C, D, k4_matrlin2(A, C, D, E, F, G), B), k4_matrlin2(A, C, D, E, F, k2_matrix13(k3_finseq_1(E), k3_finseq_1(F), A, G, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_matrlin(D, A, B) =>  (! [E] :  (m1_matrlin(E, A, C) =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(A), k3_finseq_1(D), k3_finseq_1(E)) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(A)))) )  =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, u1_struct_0(A), k3_finseq_1(D), k3_finseq_1(E)) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(A)))) )  =>  (r2_funct_2(u1_struct_0(B), u1_struct_0(C), k4_matrlin2(A, B, C, D, E, F), k4_matrlin2(A, B, C, D, E, G)) => F=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v8_vectsp_1(D, A) &  (v9_vectsp_1(D, A) &  (v10_vectsp_1(D, A) &  (v11_vectsp_1(D, A) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v1_matrlin(D, A) & l1_vectsp_1(D, A)) ) ) ) ) ) ) ) ) )  =>  (! [E] :  (m1_matrlin(E, A, B) =>  (! [F] :  (m1_matrlin(F, A, C) =>  (! [G] :  (m2_finseq_1(G, u1_struct_0(D)) =>  (! [H] :  ( (v1_matrix_0(H) &  (v2_matrix_0(H, u1_struct_0(A), k3_finseq_1(E), k3_finseq_1(F)) & m2_finseq_1(H, k3_finseq_2(u1_struct_0(A)))) )  =>  (! [I] :  ( (v1_matrix_0(I) &  (v2_matrix_0(I, u1_struct_0(A), k3_finseq_1(F), k3_finseq_1(G)) & m2_finseq_1(I, k3_finseq_2(u1_struct_0(A)))) )  =>  (k1_matrix_0(H)=k3_finseq_1(I) =>  (! [J] :  ( (v1_matrix_0(J) &  (v2_matrix_0(J, u1_struct_0(A), k3_finseq_1(E), k3_finseq_1(G)) & m2_finseq_1(J, k3_finseq_2(u1_struct_0(A)))) )  =>  (J=k4_matrix_3(A, H, I) => r2_funct_2(u1_struct_0(B), u1_struct_0(D), k4_matrlin2(A, B, D, E, G, J), k1_partfun1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(C), u1_struct_0(D), k4_matrlin2(A, B, C, E, F, H), k4_matrlin2(A, C, D, F, G, I)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_matrlin(D, A, B) =>  (! [E] :  (m1_matrlin(E, A, C) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, u1_struct_0(A), k3_finseq_1(D), k3_finseq_1(E)) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(A)))) )  =>  ~ ( ( ~ (r1_xxreal_0(k3_finseq_1(D), k5_numbers))  &  ( ~ (r1_xxreal_0(k3_finseq_1(E), k5_numbers))  &  ~ ( (r1_struct_0(k1_ranknull(A, B, C, k4_matrlin2(A, B, C, D, E, G)), F) <=> r1_struct_0(k7_matrix15(A, k4_matrix_0(u1_struct_0(A), G)), k9_matrlin(A, B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (v7_struct_0(B) <=> k1_vectsp_9(A, B)=k5_numbers) ) ) ) ) ).
fof(t43_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(D, B, C) &  (v1_mod_2(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  (v2_funct_1(D) <=> k1_ranknull(A, B, C, D)=k1_vectsp_4(A, B)) ) ) ) ) ) ) ) ) ).
fof(t44_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_matrlin(D, A, B) =>  (! [E] :  (m1_matrlin(E, A, C) =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(A), k3_finseq_1(D), k3_finseq_1(E)) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(A)))) )  =>  (k8_matrix13(A, F)=k3_finseq_1(D) => v2_funct_1(k4_matrlin2(A, B, C, D, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_matrlin2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  => m1_matrlin(k11_matrix13(B, A, A, k3_matrix_1(B, A)), B, k6_prvect_1(B, A))) ) ) ) ).
fof(t46_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_matrlin(C, A, B) =>  (! [D] :  (m1_matrlin(D, A, k6_prvect_1(A, k3_finseq_1(C))) =>  (D=k11_matrix13(A, k3_finseq_1(C), k3_finseq_1(C), k3_matrix_1(A, k3_finseq_1(C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k6_prvect_1(A, k3_finseq_1(C)))) => k9_matrlin(A, k6_prvect_1(A, k3_finseq_1(C)), D, E)=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (! [E] :  (m1_matrlin(E, A, B) =>  (! [F] :  (m1_matrlin(F, A, C) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_matrlin(H, A, k6_prvect_1(A, k3_finseq_1(F))) =>  (H=k11_matrix13(A, k3_finseq_1(F), k3_finseq_1(F), k3_matrix_1(A, k3_finseq_1(F))) =>  (! [I] :  ( (v1_matrix_0(I) &  (v2_matrix_0(I, u1_struct_0(A), k3_finseq_1(E), k3_finseq_1(H)) & m2_finseq_1(I, k3_finseq_2(u1_struct_0(A)))) )  =>  ( (I=k1_matrlin2(A, B, C, D, E, F) &  (v13_vectsp_1(D, B, C) & v1_mod_2(D, A, B, C)) )  => k3_funct_2(u1_struct_0(B), u1_struct_0(k6_prvect_1(A, k3_finseq_1(F))), k4_matrlin2(A, B, k6_prvect_1(A, k3_finseq_1(F)), E, H, I), G)=k9_matrlin(A, C, F, k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_matrlin(D, A, B) =>  (! [E] :  (m1_matrlin(E, A, C) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(F, B, C) &  (v1_mod_2(F, A, B, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  => k10_ranknull(A, B, C, F)=k8_matrix13(A, k1_matrlin2(A, B, C, F, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_matrlin(D, A, B) =>  (! [E] :  (m1_matrlin(E, A, C) =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(A), k3_finseq_1(D), k3_finseq_1(E)) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(A)))) )  => k10_ranknull(A, B, C, k4_matrlin2(A, B, C, D, E, F))=k8_matrix13(A, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_matrlin(D, A, B) =>  (! [E] :  (m1_matrlin(E, A, C) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(F, B, C) &  (v1_mod_2(F, A, B, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  (k1_vectsp_9(A, B)=k1_vectsp_9(A, C) =>  ( ~ (v7_struct_0(k1_ranknull(A, B, C, F)))  <=> k12_matrix_3(k3_finseq_1(D), A, k3_matrlin2(A, B, C, F, D, E))=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_matrlin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v8_vectsp_1(D, A) &  (v9_vectsp_1(D, A) &  (v10_vectsp_1(D, A) &  (v11_vectsp_1(D, A) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v1_matrlin(D, A) & l1_vectsp_1(D, A)) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(E, B, C) &  (v1_mod_2(E, A, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(C), u1_struct_0(D)) &  (v13_vectsp_1(F, C, D) &  (v1_mod_2(F, A, C, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D))))) ) ) )  =>  (v2_funct_1(k8_matrlin2(A, C, D, k3_ranknull(A, B, C, E), F)) =>  (k10_ranknull(A, B, D, k6_matrlin2(A, B, C, D, E, F))=k10_ranknull(A, B, C, E) & k11_ranknull(A, B, D, k6_matrlin2(A, B, C, D, E, F))=k11_ranknull(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_matrlin2, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  &  (m1_finseq_1(E, u1_struct_0(B)) & m1_matrlin(F, A, C)) ) ) ) )  =>  (v1_matrix_0(k1_matrlin2(A, B, C, D, E, F)) &  (v2_matrix_0(k1_matrlin2(A, B, C, D, E, F), u1_struct_0(A), k3_finseq_1(E), k3_finseq_1(F)) & m2_finseq_1(k1_matrlin2(A, B, C, D, E, F), k3_finseq_2(u1_struct_0(A)))) ) ) ) ).
fof(redefinition_k1_matrlin2, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  &  (m1_finseq_1(E, u1_struct_0(B)) & m1_matrlin(F, A, C)) ) ) ) )  => k1_matrlin2(A, B, C, D, E, F)=k10_matrlin(A, B, C, D, E, F)) ) ).
fof(dt_k3_matrlin2, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  &  (m1_finseq_1(E, u1_struct_0(B)) & m1_matrlin(F, A, C)) ) ) ) )  =>  (v1_matrix_0(k3_matrlin2(A, B, C, D, E, F)) &  (v2_matrix_0(k3_matrlin2(A, B, C, D, E, F), u1_struct_0(A), k3_finseq_1(E), k3_finseq_1(E)) & m2_finseq_1(k3_matrlin2(A, B, C, D, E, F), k3_finseq_2(u1_struct_0(A)))) ) ) ) ).
fof(dt_k4_matrlin2, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  &  (m1_matrlin(D, A, B) &  (m1_finseq_1(E, u1_struct_0(C)) &  (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(A), k3_finseq_1(D), k3_finseq_1(E)) & m1_finseq_1(F, k3_finseq_2(u1_struct_0(A)))) ) ) ) ) ) )  =>  (v1_funct_1(k4_matrlin2(A, B, C, D, E, F)) &  (v1_funct_2(k4_matrlin2(A, B, C, D, E, F), u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(k4_matrlin2(A, B, C, D, E, F), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) ).
fof(dt_k5_matrlin2, axiom,  (! [A, B, C, D, E] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), A, B) & m1_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  &  (v1_matrix_0(E) & m1_finseq_1(E, k3_finseq_2(u1_struct_0(C)))) ) ) ) )  =>  (v1_matrix_0(k5_matrlin2(A, B, C, D, E)) &  (v2_matrix_0(k5_matrlin2(A, B, C, D, E), u1_struct_0(C), A, B) & m2_finseq_1(k5_matrlin2(A, B, C, D, E), k3_finseq_2(u1_struct_0(C)))) ) ) ) ).
fof(redefinition_k5_matrlin2, axiom,  (! [A, B, C, D, E] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), A, B) & m1_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  &  (v1_matrix_0(E) & m1_finseq_1(E, k3_finseq_2(u1_struct_0(C)))) ) ) ) )  => k5_matrlin2(A, B, C, D, E)=k3_matrix_3(C, D, E)) ) ).
fof(dt_k6_matrlin2, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v8_vectsp_1(D, A) &  (v9_vectsp_1(D, A) &  (v10_vectsp_1(D, A) &  (v11_vectsp_1(D, A) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l1_vectsp_1(D, A)) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(E, B, C) &  (v1_mod_2(E, A, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  &  (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(C), u1_struct_0(D)) &  (v13_vectsp_1(F, C, D) &  (v1_mod_2(F, A, C, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D))))) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k6_matrlin2(A, B, C, D, E, F)) &  (v1_funct_2(k6_matrlin2(A, B, C, D, E, F), u1_struct_0(B), u1_struct_0(D)) &  (v13_vectsp_1(k6_matrlin2(A, B, C, D, E, F), B, D) &  (v1_mod_2(k6_matrlin2(A, B, C, D, E, F), A, B, D) & m1_subset_1(k6_matrlin2(A, B, C, D, E, F), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(D))))) ) ) ) ) ) ).
fof(redefinition_k6_matrlin2, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v8_vectsp_1(D, A) &  (v9_vectsp_1(D, A) &  (v10_vectsp_1(D, A) &  (v11_vectsp_1(D, A) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l1_vectsp_1(D, A)) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(E, B, C) &  (v1_mod_2(E, A, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  &  (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(C), u1_struct_0(D)) &  (v13_vectsp_1(F, C, D) &  (v1_mod_2(F, A, C, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D))))) ) ) ) ) ) ) ) )  => k6_matrlin2(A, B, C, D, E, F)=k3_relat_1(E, F)) ) ).
fof(dt_k7_matrlin2, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  &  (m1_vectsp_4(D, A, B) &  (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) ) )  =>  (v1_funct_1(k7_matrlin2(A, B, C, D, E)) &  (v1_funct_2(k7_matrlin2(A, B, C, D, E), u1_struct_0(D), u1_struct_0(C)) & m1_subset_1(k7_matrlin2(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(C))))) ) ) ) ).
fof(redefinition_k7_matrlin2, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  &  (m1_vectsp_4(D, A, B) &  (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) ) )  => k7_matrlin2(A, B, C, D, E)=k2_matrlin2(D, E)) ) ).
fof(dt_k8_matrlin2, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  &  (m1_vectsp_4(D, A, B) &  (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(E, B, C) &  (v1_mod_2(E, A, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) ) ) ) )  =>  (v1_funct_1(k8_matrlin2(A, B, C, D, E)) &  (v1_funct_2(k8_matrlin2(A, B, C, D, E), u1_struct_0(D), u1_struct_0(C)) &  (v13_vectsp_1(k8_matrlin2(A, B, C, D, E), D, C) &  (v1_mod_2(k8_matrlin2(A, B, C, D, E), A, D, C) & m1_subset_1(k8_matrlin2(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(C))))) ) ) ) ) ) ).
fof(redefinition_k8_matrlin2, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  &  (m1_vectsp_4(D, A, B) &  (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(E, B, C) &  (v1_mod_2(E, A, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) ) ) ) )  => k8_matrlin2(A, B, C, D, E)=k2_matrlin2(D, E)) ) ).
fof(rc1_matroid0, axiom,  (? [A] :  (l1_pre_topc(A) &  ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v1_pre_topc(A) &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) & v2_matroid0(A)) ) ) ) ) ) ) ).
fof(rc2_matroid0, axiom,  (! [A] :  ( ( ~ (v3_pencil_1(A))  & l1_pre_topc(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v3_pre_topc(B, A)) ) ) ) ).
fof(fc1_matroid0, axiom,  (! [A] :  ( (v1_matroid0(A) & l1_pre_topc(A))  => v1_classes1(k1_matroid0(A))) ) ).
fof(rc3_matroid0, axiom,  (! [A] :  ( ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) & l1_pre_topc(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  (v1_finset_1(B) & v3_pre_topc(B, A)) ) ) ) ) ).
fof(cc1_matroid0, axiom,  (! [A] :  ( ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_xboole_0(B) => v3_pre_topc(B, A)) ) ) ) ) ).
fof(fc2_matroid0, axiom,  (! [A, B, C] :  ( ( ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) & l1_pre_topc(A)) )  &  (v3_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v3_pre_topc(k3_xboole_0(B, C), A)) ) ).
fof(fc3_matroid0, axiom,  (! [A, B, C] :  ( ( ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) & l1_pre_topc(A)) )  &  (v3_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v3_pre_topc(k3_xboole_0(C, B), A)) ) ).
fof(fc4_matroid0, axiom,  (! [A, B, C] :  ( ( ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) & l1_pre_topc(A)) )  &  (v3_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v3_pre_topc(k4_xboole_0(B, C), A)) ) ).
fof(cc2_matroid0, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v4_matroid0(A) => v3_matroid0(A)) ) ) ).
fof(cc3_matroid0, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v8_struct_0(A) => v4_matroid0(A)) ) ) ).
fof(rc4_matroid0, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v4_taxonom2(A) & v1_setfam_1(A)) ) ) ).
fof(cc4_matroid0, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v1_tdlat_3(A) =>  (v1_tdlat_3(A) &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) & v2_matroid0(A)) ) ) ) ) ) ).
fof(fc5_matroid0, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_setfam_1(A))  =>  ( ~ (v2_struct_0(k2_matroid0(A)))  & v1_pre_topc(k2_matroid0(A))) ) ) ).
fof(fc6_matroid0, axiom,  (! [A] :  (v1_pre_topc(k2_matroid0(A)) &  ( ~ (v3_pencil_1(k2_matroid0(A)))  & v1_matroid0(k2_matroid0(A))) ) ) ).
fof(fc7_matroid0, axiom,  (! [A] :  (v4_taxonom2(A) =>  (v1_pre_topc(k2_matroid0(A)) & v2_matroid0(k2_matroid0(A))) ) ) ).
fof(fc8_matroid0, axiom,  (! [A, B] :  ( (v1_finset_1(A) & m1_subset_1(B, k1_zfmisc_1(k9_setfam_1(A))))  =>  (v8_struct_0(k2_matroid0(B)) & v1_pre_topc(k2_matroid0(B))) ) ) ).
fof(cc5_matroid0, axiom,  (! [A] :  (! [B] :  (m1_eqrel_1(B, A) => v4_taxonom2(B)) ) ) ).
fof(rc5_matroid0, axiom,  (? [A] :  (l1_pre_topc(A) &  ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v1_pre_topc(A) &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) & v2_matroid0(A)) ) ) ) ) ) ) ).
fof(cc6_matroid0, axiom,  (! [A] :  ( ( ~ (v3_pencil_1(A))  &  (v3_matroid0(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_pre_topc(B, A) =>  (v1_finset_1(B) & v3_pre_topc(B, A)) ) ) ) ) ) ).
fof(fc9_matroid0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k3_matroid0(A, B)))  &  (v1_pre_topc(k3_matroid0(A, B)) &  ( ~ (v3_pencil_1(k3_matroid0(A, B)))  & v1_matroid0(k3_matroid0(A, B))) ) ) ) ) ).
fof(fc10_matroid0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (v1_pre_topc(k3_matroid0(A, B)) & v2_matroid0(k3_matroid0(A, B))) ) ) ).
fof(fc11_matroid0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) ) )  =>  (v1_pre_topc(k3_matroid0(A, B)) & v3_matroid0(k3_matroid0(A, B))) ) ) ).
fof(cc7_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v2_matroid0(A) &  (v4_matroid0(A) & l1_pre_topc(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v5_matroid0(B, A) =>  ( ~ (v1_xboole_0(B))  & v1_finset_1(B)) ) ) ) ) ) ).
fof(d1_matroid0, axiom,  (! [A] :  (l1_pre_topc(A) => k1_matroid0(A)=u1_pre_topc(A)) ) ).
fof(d2_matroid0, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_pre_topc(B, A) <=> r2_tarski(B, k1_matroid0(A))) ) ) ) ) ).
fof(d3_matroid0, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v1_matroid0(A) <=> v1_classes1(k1_matroid0(A))) ) ) ).
fof(d4_matroid0, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v2_matroid0(A) <=>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( (r2_tarski(B, k1_matroid0(A)) &  (r2_tarski(C, k1_matroid0(A)) &  (k4_card_1(C)=k1_nat_1(k4_card_1(B), 1) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(D, k7_subset_1(u1_struct_0(A), C, B)) & r2_tarski(k2_xboole_0(B, k1_tarski(D)), k1_matroid0(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_matroid0, axiom,  (! [A] :  ( ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v3_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (r1_tarski(C, B) =>  (v3_pre_topc(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ) ).
fof(t2_matroid0, axiom,  (! [A] :  ( (v1_matroid0(A) & l1_pre_topc(A))  =>  ( ~ (v3_pencil_1(A))  <=> r2_tarski(k1_xboole_0, k1_matroid0(A))) ) ) ).
fof(t3_matroid0, axiom,  (! [A] :  ( ( ~ (v3_pencil_1(A))  & l1_pre_topc(A))  =>  (v1_matroid0(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v3_pre_topc(B, A) & r1_tarski(C, B))  => v3_pre_topc(C, A)) ) ) ) ) ) ) ) ).
fof(t4_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  & l1_pre_topc(A)) )  =>  (v2_matroid0(A) <=>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( (v3_pre_topc(B, A) &  (v3_pre_topc(C, A) &  (k4_card_1(C)=k1_nat_1(k4_card_1(B), 1) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(D, k7_subset_1(u1_struct_0(A), C, B)) & v3_pre_topc(k4_subset_1(u1_struct_0(A), B, k6_domain_1(u1_struct_0(A), D)), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_matroid0, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v3_matroid0(A) <=> v5_finset_1(k1_matroid0(A))) ) ) ).
fof(d7_matroid0, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v4_matroid0(A) <=>  (v3_matroid0(A) &  (? [B] :  (v7_ordinal1(B) &  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (v3_pre_topc(C, A) => r1_xxreal_0(k4_card_1(C), B)) ) ) ) ) ) ) ) ) ).
fof(t5_matroid0, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (v1_finset_1(B) =>  ~ ( ( ~ (r1_xxreal_0(k4_card_1(B), k4_card_1(A)))  &  (! [C] :  ~ (r2_tarski(C, k6_subset_1(B, A))) ) ) ) ) ) ) ) ).
fof(t6_matroid0, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v4_taxonom2(A) & v1_setfam_1(A)) )  =>  (! [B] :  (m2_orders_1(B, A, k6_partfun1(A)) => v2_funct_1(B)) ) ) ) ).
fof(t7_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_tdlat_3(A) & l1_pre_topc(A)) )  =>  ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v2_matroid0(A) & l1_pre_topc(A)) ) ) ) ) ) ).
fof(t8_matroid0, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k2_matroid0(A)))) =>  (v3_pre_topc(B, k2_matroid0(A)) <=>  (! [C] :  (m1_subset_1(C, A) =>  (? [D] :  (m1_subset_1(D, C) & r1_tarski(k8_subset_1(u1_struct_0(k2_matroid0(A)), B, C), k1_tarski(D))) ) ) ) ) ) ) ) ).
fof(t9_matroid0, axiom,  (! [A] :  (v4_taxonom2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k2_matroid0(A)))) =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  (! [D] :  (r2_hidden(D, B) => r2_hidden(D, k1_funct_1(C, D))) ) ) ) ) ) ) ) ).
fof(t10_matroid0, axiom,  (! [A] :  (v4_taxonom2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k2_matroid0(A)))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  ( (! [D] :  (r2_hidden(D, B) => r2_hidden(D, k1_funct_1(C, D))) )  =>  (v3_pre_topc(B, k2_matroid0(A)) <=> v2_funct_1(C)) ) ) ) ) ) ) ) ).
fof(t11_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_matroid0(A, B)))) =>  (v3_pre_topc(C, k3_matroid0(A, B)) <=>  (v1_vectsp_7(C, A, B) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B)))) ) ) ) ) ) ) ) ).
fof(t12_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))))  =>  (r1_tarski(D, C) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  ~ ( (r1_struct_0(k1_vectsp_7(A, B, C), E) &  ( ~ (r1_struct_0(k1_vectsp_7(A, B, D), E))  &  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ~ ( (r2_tarski(F, k7_subset_1(u1_struct_0(B), C, D)) & r1_struct_0(k1_vectsp_7(A, B, k4_subset_1(u1_struct_0(B), k7_subset_1(u1_struct_0(B), C, k6_domain_1(u1_struct_0(B), F)), k6_domain_1(u1_struct_0(B), E))), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (v1_vectsp_7(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  ( ~ (r2_hidden(D, u1_struct_0(k1_vectsp_7(A, B, C))))  => v1_vectsp_7(k4_subset_1(u1_struct_0(B), C, k6_domain_1(u1_struct_0(B), D)), A, B)) ) ) ) ) ) ) ) ) ) ).
fof(d10_matroid0, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_matroid0(A, B, C) <=>  (v3_pre_topc(B, A) &  (r1_tarski(B, C) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v3_pre_topc(D, A) &  (r1_tarski(D, C) & r1_tarski(B, D)) )  => B=D) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_matroid0, axiom,  (! [A] :  ( ( ~ (v3_pencil_1(A))  &  (v4_matroid0(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r1_tarski(C, B) &  (v3_pre_topc(C, A) &  (! [D] :  ( (v3_pre_topc(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( (r1_tarski(C, D) & r1_matroid0(A, D, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_matroid0, axiom,  (! [A] :  ( ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v4_matroid0(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (? [C] :  ( (v3_pre_topc(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  & r1_matroid0(A, C, B)) ) ) ) ) ) ).
fof(t16_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v4_matroid0(A) & l1_pre_topc(A)) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v2_matroid0(A) & l1_pre_topc(A)) ) ) )  <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v3_pre_topc(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  ( (v3_pre_topc(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  =>  ( (r1_matroid0(A, C, B) & r1_matroid0(A, D, B))  => k4_card_1(C)=k4_card_1(D)) ) ) ) ) ) ) ) ) ) ).
fof(t17_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v2_matroid0(A) &  (v4_matroid0(A) & l1_pre_topc(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v3_pre_topc(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (r1_tarski(C, B) => r1_xxreal_0(k4_card_1(C), k4_matroid0(A, B))) ) ) ) ) ) ) ).
fof(t18_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v2_matroid0(A) &  (v4_matroid0(A) & l1_pre_topc(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (? [C] :  ( (v3_pre_topc(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  &  (r1_tarski(C, B) & k4_card_1(C)=k4_matroid0(A, B)) ) ) ) ) ) ) ).
fof(t19_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v2_matroid0(A) &  (v4_matroid0(A) & l1_pre_topc(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v3_pre_topc(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (r1_matroid0(A, C, B) <=>  (r1_tarski(C, B) & k4_card_1(C)=k4_matroid0(A, B)) ) ) ) ) ) ) ) ).
fof(t20_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v2_matroid0(A) &  (v4_matroid0(A) & l1_pre_topc(A)) ) ) ) )  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => r1_xxreal_0(k4_matroid0(A, B), k4_card_1(B))) ) ) ) ).
fof(t21_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v2_matroid0(A) &  (v4_matroid0(A) & l1_pre_topc(A)) ) ) ) )  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v3_pre_topc(B, A) <=> k4_card_1(B)=k4_matroid0(A, B)) ) ) ) ) ).
fof(d12_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v2_matroid0(A) &  (v4_matroid0(A) & l1_pre_topc(A)) ) ) ) )  => k5_matroid0(A)=k4_matroid0(A, k2_struct_0(A))) ) ).
fof(d13_matroid0, axiom,  (! [A] :  ( ( ~ (v3_pencil_1(A))  &  (v4_matroid0(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v3_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (m1_matroid0(B, A) <=> r1_matroid0(A, B, k2_struct_0(A))) ) ) ) ) ).
fof(t22_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v2_matroid0(A) &  (v4_matroid0(A) & l1_pre_topc(A)) ) ) ) )  =>  (! [B] :  (m1_matroid0(B, A) =>  (! [C] :  (m1_matroid0(C, A) => k4_card_1(B)=k4_card_1(C)) ) ) ) ) ) ).
fof(t23_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v2_matroid0(A) &  (v4_matroid0(A) & l1_pre_topc(A)) ) ) ) )  =>  (! [B] :  ( (v3_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (? [C] :  (m1_matroid0(C, A) & r1_tarski(B, C)) ) ) ) ) ) ).
fof(t24_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v2_matroid0(A) &  (v4_matroid0(A) & l1_pre_topc(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(B, C) => r1_xxreal_0(k4_matroid0(A, B), k4_matroid0(A, C))) ) ) ) ) ) ) ).
fof(t25_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v2_matroid0(A) &  (v4_matroid0(A) & l1_pre_topc(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => r1_xxreal_0(k2_xcmplx_0(k4_matroid0(A, k4_subset_1(u1_struct_0(A), B, C)), k4_matroid0(A, k9_subset_1(u1_struct_0(A), B, C))), k2_xcmplx_0(k4_matroid0(A, B), k4_matroid0(A, C)))) ) ) ) ) ) ).
fof(t26_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v2_matroid0(A) &  (v4_matroid0(A) & l1_pre_topc(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_xxreal_0(k4_matroid0(A, B), k4_matroid0(A, k4_subset_1(u1_struct_0(A), B, C))) & r1_xxreal_0(k4_matroid0(A, k4_subset_1(u1_struct_0(A), B, k6_domain_1(u1_struct_0(A), D))), k1_nat_1(k4_matroid0(A, B), 1))) ) ) ) ) ) ) ) ) ).
fof(t27_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v2_matroid0(A) &  (v4_matroid0(A) & l1_pre_topc(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (k4_matroid0(A, k4_subset_1(u1_struct_0(A), B, k6_domain_1(u1_struct_0(A), C)))=k4_matroid0(A, k4_subset_1(u1_struct_0(A), B, k6_domain_1(u1_struct_0(A), D))) & k4_matroid0(A, k4_subset_1(u1_struct_0(A), B, k6_domain_1(u1_struct_0(A), D)))=k4_matroid0(A, B))  => k4_matroid0(A, k4_subset_1(u1_struct_0(A), B, k7_domain_1(u1_struct_0(A), C, D)))=k4_matroid0(A, B)) ) ) ) ) ) ) ) ) ).
fof(d14_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v2_matroid0(A) &  (v4_matroid0(A) & l1_pre_topc(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_matroid0(A, B, C) <=> k4_matroid0(A, k4_subset_1(u1_struct_0(A), C, k6_domain_1(u1_struct_0(A), B)))=k4_matroid0(A, C)) ) ) ) ) ) ) ).
fof(t28_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v2_matroid0(A) &  (v4_matroid0(A) & l1_pre_topc(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) => r2_matroid0(A, C, B)) ) ) ) ) ) ) ).
fof(t29_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v2_matroid0(A) &  (v4_matroid0(A) & l1_pre_topc(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_tarski(B, C) & r2_matroid0(A, D, B))  => r2_matroid0(A, D, C)) ) ) ) ) ) ) ) ) ).
fof(t30_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v2_matroid0(A) &  (v4_matroid0(A) & l1_pre_topc(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, k6_matroid0(A, B)) <=> k4_matroid0(A, k4_subset_1(u1_struct_0(A), B, k6_domain_1(u1_struct_0(A), C)))=k4_matroid0(A, B)) ) ) ) ) ) ) ).
fof(t31_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v2_matroid0(A) &  (v4_matroid0(A) & l1_pre_topc(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(B, k6_matroid0(A, B))) ) ) ) ).
fof(t32_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v2_matroid0(A) &  (v4_matroid0(A) & l1_pre_topc(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(B, C) => r1_tarski(k6_matroid0(A, B), k6_matroid0(A, C))) ) ) ) ) ) ) ).
fof(t33_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v2_matroid0(A) &  (v4_matroid0(A) & l1_pre_topc(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k4_matroid0(A, k6_matroid0(A, B))=k4_matroid0(A, B)) ) ) ) ).
fof(t34_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v2_matroid0(A) &  (v4_matroid0(A) & l1_pre_topc(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_matroid0(A, C, k6_matroid0(A, B)) => r2_matroid0(A, C, B)) ) ) ) ) ) ) ).
fof(t35_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v2_matroid0(A) &  (v4_matroid0(A) & l1_pre_topc(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k6_matroid0(A, k6_matroid0(A, B))=k6_matroid0(A, B)) ) ) ) ).
fof(t36_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v2_matroid0(A) &  (v4_matroid0(A) & l1_pre_topc(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, k6_matroid0(A, k4_subset_1(u1_struct_0(A), B, k6_domain_1(u1_struct_0(A), C)))) =>  (r2_hidden(D, k6_matroid0(A, B)) | r2_tarski(C, k6_matroid0(A, k4_subset_1(u1_struct_0(A), B, k6_domain_1(u1_struct_0(A), D))))) ) ) ) ) ) ) ) ) ) ).
fof(d16_matroid0, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v5_matroid0(B, A) <=>  ( ~ (v3_pre_topc(B, A))  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) => v3_pre_topc(k7_subset_1(u1_struct_0(A), B, k1_tarski(C)), A)) ) ) ) ) ) ) ) ) ).
fof(t37_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v2_matroid0(A) &  (v4_matroid0(A) & l1_pre_topc(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v5_matroid0(B, A) =>  ( ~ (v1_xboole_0(B))  & v1_finset_1(B)) ) ) ) ) ) ).
fof(t38_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v2_matroid0(A) &  (v4_matroid0(A) & l1_pre_topc(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v5_matroid0(B, A) <=>  ( ~ (v1_xboole_0(B))  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) => r1_matroid0(A, k7_subset_1(u1_struct_0(A), B, k6_domain_1(u1_struct_0(A), C)), B)) ) ) ) ) ) ) ) ) ).
fof(t39_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v2_matroid0(A) &  (v4_matroid0(A) & l1_pre_topc(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v5_matroid0(B, A) => k1_nat_1(k4_matroid0(A, B), 1)=k1_card_1(B)) ) ) ) ) ).
fof(t40_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v2_matroid0(A) &  (v4_matroid0(A) & l1_pre_topc(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v5_matroid0(B, A) & r2_tarski(C, B))  => r2_matroid0(A, C, k7_subset_1(u1_struct_0(A), B, k6_domain_1(u1_struct_0(A), C)))) ) ) ) ) ) ) ).
fof(t41_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v2_matroid0(A) &  (v4_matroid0(A) & l1_pre_topc(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v5_matroid0(B, A) &  (v5_matroid0(C, A) & r1_tarski(B, C)) )  => B=C) ) ) ) ) ) ) ).
fof(t42_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v2_matroid0(A) &  (v4_matroid0(A) & l1_pre_topc(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r1_tarski(C, B) & v5_matroid0(C, A)) ) ) )  => v3_pre_topc(B, A)) ) ) ) ) ).
fof(t43_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v2_matroid0(A) &  (v4_matroid0(A) & l1_pre_topc(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (v5_matroid0(B, A) &  (v5_matroid0(C, A) &  ( ~ (B=C)  &  (r2_tarski(D, k9_subset_1(u1_struct_0(A), B, C)) &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v5_matroid0(E, A) & r1_tarski(E, k7_subset_1(u1_struct_0(A), k4_subset_1(u1_struct_0(A), B, C), k6_domain_1(u1_struct_0(A), D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v2_matroid0(A) &  (v4_matroid0(A) & l1_pre_topc(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (v3_pre_topc(B, A) &  (v5_matroid0(C, A) &  (v5_matroid0(D, A) &  (r1_tarski(C, k4_subset_1(u1_struct_0(A), B, k6_domain_1(u1_struct_0(A), E))) & r1_tarski(D, k4_subset_1(u1_struct_0(A), B, k6_domain_1(u1_struct_0(A), E)))) ) ) )  => C=D) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_matroid0, axiom,  (! [A] :  (l1_pre_topc(A) => m1_subset_1(k1_matroid0(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k2_matroid0, axiom,  (! [A] :  (v1_pre_topc(k2_matroid0(A)) & l1_pre_topc(k2_matroid0(A))) ) ).
fof(dt_k3_matroid0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (v1_pre_topc(k3_matroid0(A, B)) & l1_pre_topc(k3_matroid0(A, B))) ) ) ).
fof(dt_k4_matroid0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v2_matroid0(A) &  (v4_matroid0(A) & l1_pre_topc(A)) ) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => v7_ordinal1(k4_matroid0(A, B))) ) ).
fof(dt_k5_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v2_matroid0(A) &  (v4_matroid0(A) & l1_pre_topc(A)) ) ) ) )  => v7_ordinal1(k5_matroid0(A))) ) ).
fof(dt_m1_matroid0, axiom,  (! [A] :  ( ( ~ (v3_pencil_1(A))  &  (v4_matroid0(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_matroid0(B, A) =>  (v3_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ).
fof(existence_m1_matroid0, axiom,  (! [A] :  ( ( ~ (v3_pencil_1(A))  &  (v4_matroid0(A) & l1_pre_topc(A)) )  =>  (? [B] : m1_matroid0(B, A)) ) ) ).
fof(dt_k6_matroid0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v2_matroid0(A) &  (v4_matroid0(A) & l1_pre_topc(A)) ) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k6_matroid0(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(d8_matroid0, axiom,  (! [A] :  (! [B] :  ( (v1_pre_topc(B) & l1_pre_topc(B))  =>  (B=k2_matroid0(A) <=>  (u1_struct_0(B)=k3_tarski(A) & k1_matroid0(B)=a_1_0_matroid0(A)) ) ) ) ) ).
fof(d9_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_pre_topc(C) & l1_pre_topc(C))  =>  (C=k3_matroid0(A, B) <=>  (u1_struct_0(C)=u1_struct_0(B) & k1_matroid0(C)=a_2_0_matroid0(A, B)) ) ) ) ) ) ) ) ).
fof(d11_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v2_matroid0(A) &  (v4_matroid0(A) & l1_pre_topc(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k4_matroid0(A, B)=k3_tarski(a_2_1_matroid0(A, B))) ) ) ) ).
fof(d15_matroid0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v1_matroid0(A) &  (v2_matroid0(A) &  (v4_matroid0(A) & l1_pre_topc(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k6_matroid0(A, B)=a_2_2_matroid0(A, B)) ) ) ) ).
fof(fraenkel_a_1_0_matroid0, axiom,  (! [A, B] :  (r2_hidden(A, a_1_0_matroid0(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_tarski(B))) &  (A=C &  (! [D] :  ~ ( (r2_tarski(D, B) &  (! [E] :  ~ (r1_tarski(k8_subset_1(k3_tarski(B), C, D), k1_tarski(E))) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_matroid0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, B) &  (v9_vectsp_1(C, B) &  (v10_vectsp_1(C, B) &  (v11_vectsp_1(C, B) & l1_vectsp_1(C, B)) ) ) ) ) ) ) ) ) )  =>  (r2_hidden(A, a_2_0_matroid0(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(C))) &  (A=D & v1_vectsp_7(D, B, C)) ) ) ) ) ) ).
fof(fraenkel_a_2_1_matroid0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v3_pencil_1(B))  &  (v1_matroid0(B) &  (v2_matroid0(B) &  (v4_matroid0(B) & l1_pre_topc(B)) ) ) ) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_1_matroid0(B, C)) <=>  (? [D] :  ( (v3_pre_topc(D, B) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))))  &  (A=k4_card_1(D) & r1_tarski(D, C)) ) ) ) ) ) ).
fof(fraenkel_a_2_2_matroid0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v3_pencil_1(B))  &  (v1_matroid0(B) &  (v2_matroid0(B) &  (v4_matroid0(B) & l1_pre_topc(B)) ) ) ) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_2_matroid0(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & r2_matroid0(B, D, C)) ) ) ) ) ) ).
fof(rc1_matrprob, axiom,  (? [A] :  (m1_finseq_1(A, k1_numbers) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k1_numbers) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) & v1_matrprob(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_matrprob, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) & v1_matrprob(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_matrprob, axiom,  (! [A] :  (m1_finseq_1(A, k3_finseq_2(k1_numbers)) =>  ( (v1_matrix_0(A) & v4_matrprob(A))  =>  (v1_matrix_0(A) &  (v2_matrprob(A) & v3_matrprob(A)) ) ) ) ) ).
fof(cc2_matrprob, axiom,  (! [A] :  (m1_finseq_1(A, k3_finseq_2(k1_numbers)) =>  ( (v1_matrix_0(A) &  (v2_matrprob(A) & v3_matrprob(A)) )  =>  (v1_matrix_0(A) & v4_matrprob(A)) ) ) ) ).
fof(rc3_matrprob, axiom,  (? [A] :  (m1_finseq_1(A, k3_finseq_2(k1_numbers)) &  (v1_relat_1(A) &  ( ~ (v3_relat_1(A))  &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k3_finseq_2(k1_numbers)) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v1_funcop_1(A) &  (v1_matrix_0(A) &  (v1_pre_poly(A) & v4_matrprob(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc3_matrprob, axiom,  (! [A] :  (m1_finseq_1(A, k3_finseq_2(k1_numbers)) =>  ( (v1_matrix_0(A) & v6_matrprob(A))  =>  (v1_matrix_0(A) &  (v2_matrprob(A) & v5_matrprob(A)) ) ) ) ) ).
fof(cc4_matrprob, axiom,  (! [A] :  (m1_finseq_1(A, k3_finseq_2(k1_numbers)) =>  ( (v1_matrix_0(A) &  (v2_matrprob(A) & v5_matrprob(A)) )  =>  (v1_matrix_0(A) & v6_matrprob(A)) ) ) ) ).
fof(rc4_matrprob, axiom,  (? [A] :  (m1_finseq_1(A, k3_finseq_2(k1_numbers)) &  (v1_relat_1(A) &  ( ~ (v3_relat_1(A))  &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k3_finseq_2(k1_numbers)) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v1_funcop_1(A) &  (v1_matrix_0(A) &  (v1_pre_poly(A) & v6_matrprob(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_matrprob, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v4_matrprob(A) & m1_finseq_1(A, k3_finseq_2(k1_numbers))) ) )  =>  ( ~ (v1_xboole_0(k3_matrprob(A)))  & v1_matrprob(k3_matrprob(A))) ) ) ).
fof(fc2_matrprob, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v4_matrprob(A) & m1_finseq_1(A, k3_finseq_2(k1_numbers))) ) )  =>  ( ~ (v1_xboole_0(k4_matrprob(A)))  & v1_matrprob(k4_matrprob(A))) ) ) ).
fof(fc3_matrprob, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) & m1_finseq_1(A, k3_finseq_2(k1_numbers))) )  =>  ( ~ (v3_relat_1(k4_matrix_0(k1_numbers, A)))  & v1_matrix_0(k4_matrix_0(k1_numbers, A))) ) ) ).
fof(fc4_matrprob, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v4_matrprob(A) & m1_finseq_1(A, k3_finseq_2(k1_numbers))) ) )  =>  (v1_matrix_0(k4_matrix_0(k1_numbers, A)) & v4_matrprob(k4_matrix_0(k1_numbers, A))) ) ) ).
fof(t1_matrprob, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (! [D] :  (m2_finseq_1(D, A) =>  ( (k3_finseq_1(D)=C &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) => k1_funct_1(D, E)=B) ) ) )  <=> D=k5_finseq_2(A, C, B)) ) ) ) ) ) ) ) ) ).
fof(t2_matrprob, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (? [F] :  (m2_finseq_1(F, A) &  (k3_finseq_1(F)=C &  (! [G] :  (v7_ordinal1(G) =>  (r2_tarski(G, k2_finseq_1(C)) =>  ( (r2_tarski(G, k2_finseq_1(B)) => k1_funct_1(F, G)=D)  &  ( ~ (r2_tarski(G, k2_finseq_1(B)))  => k1_funct_1(F, G)=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_matrprob, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  =>  ( (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k4_finseq_1(A)) => r1_xxreal_0(k5_numbers, k1_funct_1(A, B))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (k5_numbers=C)  &  ( ~ (r1_xxreal_0(k3_finseq_1(A), C))  &  ~ (k8_nat_1(k1_numbers, B, k1_nat_1(C, 1))=k2_xcmplx_0(k8_nat_1(k1_numbers, B, C), k1_funct_1(A, k1_nat_1(C, 1)))) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(C, k4_finseq_1(A)) &  (r2_tarski(D, k4_finseq_1(A)) & r1_xxreal_0(C, D)) )  => r1_xxreal_0(k8_nat_1(k1_numbers, B, C), k8_nat_1(k1_numbers, B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_matrprob, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  =>  ( (r1_xxreal_0(1, k3_finseq_1(A)) &  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k4_finseq_1(A)) => r1_xxreal_0(k5_numbers, k1_funct_1(A, B))) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (k8_nat_1(k1_numbers, B, 1)=k1_funct_1(A, 1) &  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (k5_numbers=C)  &  ( ~ (r1_xxreal_0(k3_finseq_1(A), C))  &  ~ (k8_nat_1(k1_numbers, B, k1_nat_1(C, 1))=k2_xcmplx_0(k8_nat_1(k1_numbers, B, C), k1_funct_1(A, k1_nat_1(C, 1)))) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(A)) => r1_xxreal_0(k1_funct_1(A, C), k8_nat_1(k1_numbers, B, C))) ) ) ) ) ) ) ) ) ).
fof(t5_matrprob, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  =>  ( (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k4_finseq_1(A)) => r1_xxreal_0(k5_numbers, k1_funct_1(A, B))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k4_finseq_1(A)) => r1_xxreal_0(k1_funct_1(A, B), k16_rvsum_1(A))) ) ) ) ) ) ).
fof(t6_matrprob, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  (k8_nat_1(k1_numbers, E, k5_numbers)=A &  (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(F, C) =>  (F=k5_numbers | k8_nat_1(k1_numbers, E, F)=k8_nat_1(k1_numbers, D, F)) )  &  ( ~ (r1_xxreal_0(F, C))  => k8_nat_1(k1_numbers, E, F)=B) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_matrprob, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  (k8_nat_1(k1_numbers, B, k5_numbers)=k5_numbers &  ( (! [C] :  (v7_ordinal1(C) =>  ( ~ (r1_xxreal_0(k3_finseq_1(A), C))  => k8_nat_1(k1_numbers, B, k1_nat_1(C, 1))=k2_xcmplx_0(k8_nat_1(k1_numbers, B, C), k1_funct_1(A, k1_nat_1(C, 1)))) ) )  & k18_rvsum_1(A)=k8_nat_1(k1_numbers, B, k3_finseq_1(A))) ) ) ) ) ) ).
fof(t8_matrprob, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  (m2_finseq_1(C, B) => m2_finseq_1(k2_finseq_2(A, C), k3_finseq_2(B))) ) ) ) ) ).
fof(t9_matrprob, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (! [D] :  (m2_finseq_1(D, C) =>  (! [E] :  (m2_finseq_1(E, C) =>  (? [F] :  (m2_finseq_1(F, k3_finseq_2(C)) &  (k3_finseq_1(F)=B &  (! [G] :  (v7_ordinal1(G) =>  (r2_tarski(G, k2_finseq_1(B)) =>  ( (r2_tarski(G, k2_finseq_1(A)) => k1_matrprob(C, F, G)=D)  &  ( ~ (r2_tarski(G, k2_finseq_1(A)))  => k1_matrprob(C, F, G)=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_matrprob, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  <=>  (? [C] :  (v7_ordinal1(C) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(D, k4_finseq_1(B)) &  (! [E] :  (m2_finseq_1(E, A) =>  ~ ( (k1_funct_1(B, D)=E & k3_finseq_1(E)=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_matrprob, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, k3_finseq_2(A)) =>  ( (? [C] :  (v7_ordinal1(C) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(B)) => k3_finseq_1(k1_matrprob(A, B, D))=C) ) ) ) )  <=>  (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A))) ) ) ) ) ).
fof(t12_matrprob, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) & v1_matrix_0(C)) ) )  =>  (r2_hidden(k4_tarski(A, B), k2_matrix_0(C)) <=>  (r2_tarski(A, k2_finseq_1(k3_finseq_1(C))) & r2_tarski(B, k2_finseq_1(k1_matrix_0(C)))) ) ) ) ) ) ) ) ).
fof(t13_matrprob, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(C)))  =>  (r2_hidden(k4_tarski(A, B), k2_matrix_0(D)) <=>  (r2_tarski(A, k4_finseq_1(D)) & r2_tarski(B, k4_finseq_1(k1_matrprob(C, D, A)))) ) ) ) ) ) ) ) ) ) ).
fof(t14_matrprob, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(C)))  =>  (r2_hidden(k4_tarski(A, B), k2_matrix_0(D)) => k3_matrix_0(C, D, A, B)=k1_funct_1(k1_matrprob(C, D, A), B)) ) ) ) ) ) ) ) ) ).
fof(t15_matrprob, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(C)))  =>  (r2_hidden(k4_tarski(A, B), k2_matrix_0(D)) <=>  (r2_tarski(A, k4_finseq_1(k8_matrix_0(C, D, B))) & r2_tarski(B, k4_finseq_1(k7_matrix_0(C, D, A)))) ) ) ) ) ) ) ) ) ) ).
fof(t16_matrprob, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(A)))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(B)))  =>  (C=D =>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(C)) => k7_matrix_0(A, C, E)=k7_matrix_0(B, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_matrprob, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(A)))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(B)))  =>  (C=D =>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k2_finseq_1(k1_matrix_0(C))) => k8_matrix_0(A, C, E)=k8_matrix_0(B, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_matrprob, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_1(D, A) =>  (k3_finseq_1(D)=C =>  (v1_matrix_0(k2_finseq_2(B, D)) &  (v2_matrix_0(k2_finseq_2(B, D), A, B, C) & m2_finseq_1(k2_finseq_2(B, D), k3_finseq_2(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_matrprob, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m2_finseq_1(E, A) =>  (! [F] :  (m2_finseq_1(F, A) =>  ~ ( (k3_finseq_1(E)=D &  (k3_finseq_1(F)=D &  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, A, C, D) & m2_finseq_1(G, k3_finseq_2(A))) )  =>  (? [H] :  (v7_ordinal1(H) &  (r2_tarski(H, k2_finseq_1(C)) &  ~ ( ( (r2_tarski(H, k2_finseq_1(B)) => k1_matrprob(A, G, H)=E)  &  ( ~ (r2_tarski(H, k2_finseq_1(B)))  => k1_matrprob(A, G, H)=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_matrprob, axiom,  (! [A] :  (m2_finseq_1(A, k3_finseq_2(k1_numbers)) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (B=k3_matrprob(A) <=>  (k3_finseq_1(B)=k3_finseq_1(A) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => k1_funct_1(B, C)=k18_rvsum_1(k1_matrprob(k1_numbers, A, C))) ) ) ) ) ) ) ) ) ).
fof(t20_matrprob, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (k3_finseq_1(k3_matrprob(A))=k3_finseq_1(A) &  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k2_finseq_1(k3_finseq_1(A))) => k1_funct_1(k3_matrprob(A), B)=k18_rvsum_1(k7_matrix_0(k1_numbers, A, B))) ) ) ) ) ) ).
fof(d2_matrprob, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (B=k4_matrprob(A) <=>  (k3_finseq_1(B)=k1_matrix_0(A) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k2_finseq_1(k1_matrix_0(A))) => k1_funct_1(B, C)=k18_rvsum_1(k8_matrix_0(k1_numbers, A, C))) ) ) ) ) ) ) ) ) ).
fof(t21_matrprob, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  ( ~ (r1_xxreal_0(k1_matrix_0(A), k5_numbers))  => k3_matrprob(A)=k4_matrprob(k4_matrix_0(k1_numbers, A))) ) ) ).
fof(t22_matrprob, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  => k4_matrprob(A)=k3_matrprob(k4_matrix_0(k1_numbers, A))) ) ).
fof(d3_matrprob, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  => k5_matrprob(A)=k18_rvsum_1(k3_matrprob(A))) ) ).
fof(t23_matrprob, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (k3_finseq_1(A)=k5_numbers => k5_matrprob(A)=k5_numbers) ) ) ).
fof(t24_matrprob, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, A, k5_numbers) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  => k5_matrprob(B)=k5_numbers) ) ) ) ).
fof(t25_matrprob, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, B, A) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, k1_numbers, C, A) & m2_finseq_1(E, k3_finseq_2(k1_numbers))) )  => k3_matrprob(k8_matrlin(k1_numbers, B, C, A, D, E))=k8_finseq_1(k1_numbers, k3_matrprob(D), k3_matrprob(E))) ) ) ) ) ) ) ) ) ) ).
fof(t26_matrprob, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  => k4_rvsum_1(k3_matrprob(A), k3_matrprob(B))=k3_matrprob(k7_matrlin(k1_numbers, A, B))) ) ) ) ).
fof(t27_matrprob, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (k3_finseq_1(A)=k3_finseq_1(B) => k2_xcmplx_0(k5_matrprob(A), k5_matrprob(B))=k5_matrprob(k7_matrlin(k1_numbers, A, B))) ) ) ) ) ).
fof(t28_matrprob, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  => k5_matrprob(A)=k5_matrprob(k4_matrix_0(k1_numbers, A))) ) ).
fof(t29_matrprob, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  => k5_matrprob(A)=k18_rvsum_1(k4_matrprob(A))) ) ).
fof(t30_matrprob, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (k3_finseq_1(A)=k3_finseq_1(B) => k3_finseq_1(k14_rvsum_1(A, B))=k3_finseq_1(A)) ) ) ) ) ).
fof(t31_matrprob, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k4_finseq_2(A, k1_numbers)) => k14_rvsum_1(k5_finseq_2(k4_ordinal1, A, 1), B)=B) ) ) ) ).
fof(t32_matrprob, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) => k14_rvsum_1(k5_finseq_2(k4_ordinal1, k3_finseq_1(A), 1), A)=A) ) ).
fof(t33_matrprob, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  ( ( (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(A)) => r1_xxreal_0(k5_numbers, k1_funct_1(A, C))) ) )  &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => r1_xxreal_0(k5_numbers, k1_funct_1(B, C))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(k14_rvsum_1(A, B))) => r1_xxreal_0(k5_numbers, k1_funct_1(k14_rvsum_1(A, B), C))) ) ) ) ) ) ) ) ).
fof(t34_matrprob, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k4_finseq_2(A, k1_numbers)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k4_finseq_2(A, k1_numbers)) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(k2_vectsp_1), k4_finseq_2(A, u1_struct_0(k2_vectsp_1))) =>  (! [E] :  (m2_finseq_2(E, u1_struct_0(k2_vectsp_1), k4_finseq_2(A, u1_struct_0(k2_vectsp_1))) =>  ( (B=D & C=E)  => k15_rvsum_1(A, B, C)=k12_fvsum_1(A, k2_vectsp_1, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_matrprob, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k2_vectsp_1)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k2_vectsp_1)) =>  ( (k3_finseq_1(A)=k3_finseq_1(B) &  (A=C & B=D) )  => k14_rvsum_1(A, B)=k11_fvsum_1(k2_vectsp_1, C, D)) ) ) ) ) ) ) ) ) ).
fof(t36_matrprob, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k2_vectsp_1)) =>  (A=B => k18_rvsum_1(A)=k4_rlvect_1(k2_vectsp_1, B)) ) ) ) ) ).
fof(t37_matrprob, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k4_finseq_2(A, k1_numbers)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k4_finseq_2(A, k1_numbers)) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(k2_vectsp_1), k4_finseq_2(A, u1_struct_0(k2_vectsp_1))) =>  (! [E] :  (m2_finseq_2(E, u1_struct_0(k2_vectsp_1), k4_finseq_2(A, u1_struct_0(k2_vectsp_1))) =>  ( (B=D & C=E)  => k22_rvsum_1(B, C)=k13_fvsum_1(k2_vectsp_1, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_matrprob, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k2_vectsp_1)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k2_vectsp_1)) =>  ( (k3_finseq_1(A)=k3_finseq_1(B) &  (A=C & B=D) )  => k22_rvsum_1(A, B)=k13_fvsum_1(k2_vectsp_1, C, D)) ) ) ) ) ) ) ) ) ).
fof(t39_matrprob, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  (k1_matrix_0(B)=k3_finseq_1(C) =>  (A=k6_matrixr1(B, C) <=>  (k3_finseq_1(A)=k3_finseq_1(B) &  (k1_matrix_0(A)=k1_matrix_0(C) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_hidden(k4_tarski(D, E), k2_matrix_0(A)) => k3_matrix_0(k1_numbers, A, D, E)=k22_rvsum_1(k7_matrix_0(k1_numbers, B, D), k8_matrix_0(k1_numbers, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_matrprob, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (k3_finseq_1(A)=k3_finseq_1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k2_finseq_1(k3_finseq_1(k12_matrixr1(A, B)))) => k1_funct_1(k12_matrixr1(A, B), C)=k22_rvsum_1(B, k8_matrix_0(k1_numbers, A, C))) ) ) ) ) ) ) ) ).
fof(t41_matrprob, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (k1_matrix_0(A)=k3_finseq_1(B) =>  (r1_xxreal_0(k1_matrix_0(A), k5_numbers) |  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k2_finseq_1(k3_finseq_1(k11_matrixr1(A, B)))) => k1_funct_1(k11_matrixr1(A, B), C)=k22_rvsum_1(k7_matrix_0(k1_numbers, A, C), B)) ) ) ) ) ) ) ) ) ).
fof(t42_matrprob, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  (k1_matrix_0(B)=k3_finseq_1(C) =>  (A=k6_matrixr1(B, C) <=>  (k3_finseq_1(A)=k3_finseq_1(B) &  (k1_matrix_0(A)=k1_matrix_0(C) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k2_finseq_1(k3_finseq_1(A))) => k7_matrix_0(k1_numbers, A, D)=k12_matrixr1(C, k7_matrix_0(k1_numbers, B, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_matrprob, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  ( (k3_finseq_1(A)=k3_finseq_1(C) & k3_finseq_1(B)=k1_matrix_0(C))  =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(k1_numbers)))  =>  (D=k6_matrprob(A, B, C) <=>  (k3_finseq_1(D)=k3_finseq_1(A) &  (k1_matrix_0(D)=k3_finseq_1(B) &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (r2_hidden(k4_tarski(E, F), k2_matrix_0(C)) => k3_matrix_0(k1_numbers, D, E, F)=k3_xcmplx_0(k3_xcmplx_0(k1_funct_1(A, E), k3_matrix_0(k1_numbers, C, E, F)), k1_funct_1(B, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_matrprob, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  ( (k3_finseq_1(A)=k3_finseq_1(C) & k3_finseq_1(B)=k1_matrix_0(C))  =>  (r1_xxreal_0(k3_finseq_1(B), k5_numbers) | k4_matrix_0(k1_numbers, k6_matrprob(A, B, C))=k6_matrprob(B, A, k4_matrix_0(k1_numbers, C))) ) ) ) ) ) ) ) ).
fof(t44_matrprob, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  ( (k3_finseq_1(A)=k3_finseq_1(C) & k3_finseq_1(B)=k1_matrix_0(C))  =>  (r1_xxreal_0(k3_finseq_1(B), k5_numbers) | k22_rvsum_1(A, k11_matrixr1(C, B))=k5_matrprob(k6_matrprob(A, B, C))) ) ) ) ) ) ) ) ).
fof(t45_matrprob, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) => k22_rvsum_1(A, k5_finseq_2(k4_ordinal1, k3_finseq_1(A), 1))=k18_rvsum_1(A)) ) ).
fof(t46_matrprob, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  ( (k3_finseq_1(A)=k3_finseq_1(C) & k3_finseq_1(B)=k1_matrix_0(C))  => k22_rvsum_1(k12_matrixr1(C, A), B)=k5_matrprob(k6_matrprob(A, B, C))) ) ) ) ) ) ) ).
fof(t47_matrprob, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  ( (k3_finseq_1(A)=k3_finseq_1(C) & k3_finseq_1(B)=k1_matrix_0(C))  =>  (r1_xxreal_0(k3_finseq_1(B), k5_numbers) | k22_rvsum_1(k12_matrixr1(C, A), B)=k22_rvsum_1(A, k11_matrixr1(C, B))) ) ) ) ) ) ) ) ).
fof(t48_matrprob, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) & k3_finseq_1(A)=k1_matrix_0(C))  =>  (r1_xxreal_0(k3_finseq_1(A), k5_numbers) |  (r1_xxreal_0(k3_finseq_1(B), k5_numbers) | k22_rvsum_1(k11_matrixr1(C, A), B)=k22_rvsum_1(A, k11_matrixr1(k4_matrix_0(k1_numbers, C), B))) ) ) ) ) ) ) ) ) ).
fof(t49_matrprob, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(k1_numbers)))  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) & k3_finseq_1(A)=k1_matrix_0(C))  =>  (r1_xxreal_0(k3_finseq_1(A), k5_numbers) |  (r1_xxreal_0(k3_finseq_1(B), k5_numbers) | k22_rvsum_1(A, k12_matrixr1(C, B))=k22_rvsum_1(k12_matrixr1(k4_matrix_0(k1_numbers, C), A), B)) ) ) ) ) ) ) ) ) ).
fof(t50_matrprob, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  ( (k3_finseq_1(A)=k3_finseq_1(B) & A=k5_finseq_2(k4_ordinal1, k3_finseq_1(A), 1))  =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k2_finseq_1(k3_finseq_1(k12_matrixr1(B, A)))) => k1_funct_1(k12_matrixr1(B, A), C)=k18_rvsum_1(k8_matrix_0(k1_numbers, B, C))) ) ) ) ) ) ) ) ).
fof(t51_matrprob, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers)))  =>  ( (k3_finseq_1(A)=k1_matrix_0(B) & A=k5_finseq_2(k4_ordinal1, k3_finseq_1(A), 1))  =>  (r1_xxreal_0(k1_matrix_0(B), k5_numbers) |  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k2_finseq_1(k3_finseq_1(k11_matrixr1(B, A)))) => k1_funct_1(k11_matrixr1(B, A), C)=k18_rvsum_1(k7_matrix_0(k1_numbers, B, C))) ) ) ) ) ) ) ) ) ).
fof(t52_matrprob, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (? [B] :  (m2_finseq_1(B, k1_numbers) &  (k3_finseq_1(B)=A &  ( (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => r1_xxreal_0(k5_numbers, k1_funct_1(B, C))) ) )  & k18_rvsum_1(B)=1) ) ) ) ) ) ).
fof(d5_matrprob, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  =>  (v1_matrprob(A) <=>  ( (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k4_finseq_1(A)) => r1_xxreal_0(k5_numbers, k1_funct_1(A, B))) ) )  & k16_rvsum_1(A)=1) ) ) ) ).
fof(t53_matrprob, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) &  (v3_valued_0(A) & v1_matrprob(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k4_finseq_1(A)) => r1_xxreal_0(k1_funct_1(A, B), 1)) ) ) ) ) ).
fof(t54_matrprob, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A))) )  =>  (r1_xxreal_0(1, k3_finseq_1(B)) & r1_xxreal_0(1, k1_matrix_0(B))) ) ) ) ) ).
fof(d6_matrprob, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (v2_matrprob(A) <=>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_hidden(k4_tarski(B, C), k2_matrix_0(A)) => r1_xxreal_0(k5_numbers, k3_matrix_0(k1_numbers, A, B, C))) ) ) ) ) ) ) ) ).
fof(d7_matrprob, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (v3_matrprob(A) <=> k5_matrprob(A)=1) ) ) ).
fof(d8_matrprob, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (v4_matrprob(A) <=>  (v2_matrprob(A) & v3_matrprob(A)) ) ) ) ).
fof(t55_matrprob, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (? [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, B) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  &  (v2_matrprob(C) & k5_matrprob(C)=1) ) ) ) ) ) ) ).
fof(t56_matrprob, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v4_matrprob(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers))) ) )  =>  ( ~ (v3_relat_1(k4_matrix_0(k1_numbers, A)))  &  (v1_matrix_0(k4_matrix_0(k1_numbers, A)) &  (v4_matrprob(k4_matrix_0(k1_numbers, A)) & m2_finseq_1(k4_matrix_0(k1_numbers, A), k3_finseq_2(k1_numbers))) ) ) ) ) ).
fof(t57_matrprob, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v4_matrprob(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_hidden(k4_tarski(B, C), k2_matrix_0(A)) => r1_xxreal_0(k3_matrix_0(k1_numbers, A, B, C), 1)) ) ) ) ) ) ) ).
fof(d9_matrprob, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (v5_matrprob(A) <=>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k4_finseq_1(A)) => k18_rvsum_1(k1_matrprob(k1_numbers, A, B))=1) ) ) ) ) ) ).
fof(t58_matrprob, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (? [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, A, B) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  &  (v2_matrprob(C) & v5_matrprob(C)) ) ) ) ) ) ) ).
fof(d10_matrprob, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers)))  =>  (v6_matrprob(A) <=>  (v2_matrprob(A) & v5_matrprob(A)) ) ) ) ).
fof(t59_matrprob, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v6_matrprob(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_hidden(k4_tarski(B, C), k2_matrix_0(A)) => r1_xxreal_0(k3_matrix_0(k1_numbers, A, B, C), 1)) ) ) ) ) ) ) ).
fof(t60_matrprob, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers))) )  =>  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v6_matrprob(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers))) ) )  <=>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k4_finseq_1(A)) =>  ( ~ (v1_xboole_0(k7_matrix_0(k1_numbers, A, B)))  &  (v1_matrprob(k7_matrix_0(k1_numbers, A, B)) & m2_finseq_1(k7_matrix_0(k1_numbers, A, B), k1_numbers)) ) ) ) ) ) ) ) ).
fof(t61_matrprob, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v5_matrprob(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers))) ) )  => k5_matrprob(A)=k3_finseq_1(A)) ) ).
fof(t62_matrprob, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_matrprob(A) & m2_finseq_1(A, k1_numbers)) )  =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v6_matrprob(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) ) )  =>  (k3_finseq_1(A)=k3_finseq_1(B) =>  ( ( ~ (v1_xboole_0(k12_matrixr1(B, A)))  &  (v1_matrprob(k12_matrixr1(B, A)) & m2_finseq_1(k12_matrixr1(B, A), k1_numbers)) )  & k3_finseq_1(k12_matrixr1(B, A))=k1_matrix_0(B)) ) ) ) ) ) ).
fof(t63_matrprob, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v6_matrprob(A) & m2_finseq_1(A, k3_finseq_2(k1_numbers))) ) )  =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v6_matrprob(B) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) ) )  =>  (k1_matrix_0(A)=k3_finseq_1(B) =>  ( ( ~ (v3_relat_1(k6_matrixr1(A, B)))  &  (v1_matrix_0(k6_matrixr1(A, B)) &  (v6_matrprob(k6_matrixr1(A, B)) & m2_finseq_1(k6_matrixr1(A, B), k3_finseq_2(k1_numbers))) ) )  &  (k3_finseq_1(k6_matrixr1(A, B))=k3_finseq_1(A) & k1_matrix_0(k6_matrixr1(A, B))=k1_matrix_0(B)) ) ) ) ) ) ) ).
fof(dt_k1_matrprob, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, k3_finseq_2(A)) & v7_ordinal1(C))  => m2_finseq_1(k1_matrprob(A, B, C), A)) ) ).
fof(redefinition_k1_matrprob, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, k3_finseq_2(A)) & v7_ordinal1(C))  => k1_matrprob(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k2_matrprob, axiom,  (! [A] :  (v1_xreal_0(A) => m2_finseq_1(k2_matrprob(A), k1_numbers)) ) ).
fof(redefinition_k2_matrprob, axiom,  (! [A] :  (v1_xreal_0(A) => k2_matrprob(A)=k5_finseq_1(A)) ) ).
fof(dt_k3_matrprob, axiom,  (! [A] :  (m1_finseq_1(A, k3_finseq_2(k1_numbers)) => m2_finseq_1(k3_matrprob(A), k1_numbers)) ) ).
fof(dt_k4_matrprob, axiom,  (! [A] :  ( (v1_matrix_0(A) & m1_finseq_1(A, k3_finseq_2(k1_numbers)))  => m2_finseq_1(k4_matrprob(A), k1_numbers)) ) ).
fof(dt_k5_matrprob, axiom,  (! [A] :  ( (v1_matrix_0(A) & m1_finseq_1(A, k3_finseq_2(k1_numbers)))  => v1_xreal_0(k5_matrprob(A))) ) ).
fof(dt_k6_matrprob, axiom,  (! [A, B, C] :  ( (m1_finseq_1(A, k1_numbers) &  (m1_finseq_1(B, k1_numbers) &  (v1_matrix_0(C) & m1_finseq_1(C, k3_finseq_2(k1_numbers))) ) )  =>  (v1_matrix_0(k6_matrprob(A, B, C)) & m2_finseq_1(k6_matrprob(A, B, C), k3_finseq_2(k1_numbers))) ) ) ).
fof(fc1_matrtop1, axiom,  (! [A, B, C] :  ( (v1_funct_1(C) &  (v1_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_relat_1(k5_relat_1(C, B)) & v1_partfun3(k5_relat_1(C, B))) ) ) ).
fof(fc2_matrtop1, axiom,  (! [A, B, C] :  ( (v1_funct_1(C) &  (v2_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_relat_1(k5_relat_1(C, B)) & v2_partfun3(k5_relat_1(C, B))) ) ) ).
fof(fc3_matrtop1, axiom,  (! [A, B, C] :  ( (v1_funct_1(C) &  (v3_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_relat_1(k5_relat_1(C, B)) & v3_partfun3(k5_relat_1(C, B))) ) ) ).
fof(fc4_matrtop1, axiom,  (! [A, B, C] :  ( (v1_funct_1(C) &  (v4_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_relat_1(k5_relat_1(C, B)) & v4_partfun3(k5_relat_1(C, B))) ) ) ).
fof(fc5_matrtop1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  =>  (v1_relat_1(k1_partfun3(A)) &  (v1_funct_1(k1_partfun3(A)) & v1_finseq_1(k1_partfun3(A))) ) ) ) ).
fof(fc6_matrtop1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_valued_0(A)) ) )  =>  (v1_relat_1(k1_finseq_3(A, B)) &  (v1_funct_1(k1_finseq_3(A, B)) &  (v1_finseq_1(k1_finseq_3(A, B)) & v1_valued_0(k1_finseq_3(A, B))) ) ) ) ) ).
fof(fc7_matrtop1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  =>  (v1_relat_1(k1_finseq_3(A, B)) &  (v1_funct_1(k1_finseq_3(A, B)) &  (v1_finseq_1(k1_finseq_3(A, B)) & v3_valued_0(k1_finseq_3(A, B))) ) ) ) ) ).
fof(fc8_matrtop1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_finseq_1(A) & v1_valued_0(A)) ) )  =>  (v1_relat_1(k15_finseq_1(A)) &  (v1_funct_1(k15_finseq_1(A)) & v1_valued_0(k15_finseq_1(A))) ) ) ) ).
fof(fc9_matrtop1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_finseq_1(A) & v3_valued_0(A)) ) )  =>  (v1_relat_1(k15_finseq_1(A)) &  (v1_funct_1(k15_finseq_1(A)) & v3_valued_0(k15_finseq_1(A))) ) ) ) ).
fof(fc10_matrtop1, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(k2_vectsp_1), A, B) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) ) )  =>  (v1_relat_1(k1_funct_1(k3_matrtop1(A, B, C), D)) & v1_funct_1(k1_funct_1(k3_matrtop1(A, B, C), D))) ) ) ).
fof(fc11_matrtop1, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(k2_vectsp_1), A, B) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) ) )  =>  (v1_finseq_1(k1_funct_1(k3_matrtop1(A, B, C), D)) & v3_valued_0(k1_funct_1(k3_matrtop1(A, B, C), D))) ) ) ).
fof(fc12_matrtop1, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(k2_vectsp_1), A, B) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  &  (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, A) &  (v1_finseq_1(D) & v3_valued_0(D)) ) ) ) ) ) )  => v3_card_1(k1_funct_1(k3_matrtop1(A, B, C), D), B)) ) ).
fof(rc1_matrtop1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (? [C] :  (m1_finseq_1(C, k3_finseq_2(u1_struct_0(B))) &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, k3_finseq_2(u1_struct_0(B))) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_finseq_1(C) &  (v2_finseq_1(C) &  (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & v1_matrix_6(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc13_matrtop1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_matrix_0(B) &  (v2_matrix_0(B, u1_struct_0(k2_vectsp_1), A, A) &  (v1_matrix_6(B, A, k2_vectsp_1) & m1_finseq_1(B, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) ) )  =>  (v1_funct_1(k3_matrtop1(A, A, B)) &  (v1_funct_2(k3_matrtop1(A, A, B), u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))) & v3_tops_2(k3_matrtop1(A, A, B), k15_euclid(A), k15_euclid(A))) ) ) ) ).
fof(d1_matrtop1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  => k1_matrtop1(A)=A) ) ).
fof(d2_matrtop1, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k2_vectsp_1)) => k2_matrtop1(A)=A) ) ).
fof(t1_matrtop1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v3_valued_0(B)) ) )  => k3_fvsum_1(k2_vectsp_1, k1_matrtop1(A), k1_matrtop1(B))=k4_rvsum_1(A, B)) ) ) ) ).
fof(t2_matrtop1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v3_valued_0(B)) ) )  => k1_partfun3(k7_finseq_1(A, B))=k7_finseq_1(k1_partfun3(A), k1_partfun3(B))) ) ) ) ).
fof(t3_matrtop1, axiom,  (! [A] :  (v1_xreal_0(A) => k1_partfun3(k9_finseq_1(A))=k9_finseq_1(k3_square_1(A))) ) ).
fof(t4_matrtop1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  => k1_partfun3(k39_valued_1(A))=k3_euclid(A)) ) ).
fof(t5_matrtop1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  =>  (v4_partfun3(A) => r1_xxreal_0(k3_square_1(k16_rvsum_1(A)), k16_rvsum_1(k1_partfun3(A)))) ) ) ).
fof(t6_matrtop1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (? [B] :  (r1_tarski(B, k9_xtuple_0(A)) &  (k10_xtuple_0(A)=k10_xtuple_0(k5_relat_1(A, B)) & v2_funct_1(k5_relat_1(A, B))) ) ) ) ) ).
fof(t7_matrtop1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_1(B), k4_finseq_1(B)) &  (v3_funct_2(D, k4_finseq_1(B), k4_finseq_1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(B), k4_finseq_1(B))))) ) )  =>  ~ ( (C=k3_relat_1(D, B) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_finseq_1(k1_finseq_3(B, A)), k4_finseq_1(k1_finseq_3(B, A))) &  (v3_funct_2(E, k4_finseq_1(k1_finseq_3(B, A)), k4_finseq_1(k1_finseq_3(B, A))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(k1_finseq_3(B, A)), k4_finseq_1(k1_finseq_3(B, A)))))) ) )  =>  ~ (k1_finseq_3(C, A)=k3_relat_1(E, k1_finseq_3(B, A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_matrtop1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_valued_0(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) & v1_valued_0(C)) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_1(B), k4_finseq_1(B)) &  (v3_funct_2(D, k4_finseq_1(B), k4_finseq_1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(B), k4_finseq_1(B))))) ) )  =>  (C=k3_relat_1(D, B) => k16_rvsum_1(k1_finseq_3(C, A))=k16_rvsum_1(k1_finseq_3(B, A))) ) ) ) ) ) ) ) ).
fof(t9_matrtop1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v2_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v2_finseq_1(C)) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k9_xtuple_0(B), k9_xtuple_0(B)) &  (v3_funct_2(D, k9_xtuple_0(B), k9_xtuple_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k9_xtuple_0(B), k9_xtuple_0(B))))) ) )  =>  ~ ( (C=k3_relat_1(D, B) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_finseq_1(k15_finseq_1(k5_relat_1(C, k8_relat_1(D, A)))), k4_finseq_1(k15_finseq_1(k5_relat_1(C, k8_relat_1(D, A))))) &  (v3_funct_2(E, k4_finseq_1(k15_finseq_1(k5_relat_1(C, k8_relat_1(D, A)))), k4_finseq_1(k15_finseq_1(k5_relat_1(C, k8_relat_1(D, A))))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(k15_finseq_1(k5_relat_1(C, k8_relat_1(D, A)))), k4_finseq_1(k15_finseq_1(k5_relat_1(C, k8_relat_1(D, A)))))))) ) )  =>  ~ (k15_finseq_1(k5_relat_1(B, A))=k3_relat_1(E, k15_finseq_1(k5_relat_1(C, k8_relat_1(D, A))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_matrtop1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_finseq_1(B) & v1_valued_0(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v2_finseq_1(C) & v1_valued_0(C)) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k9_xtuple_0(B), k9_xtuple_0(B)) &  (v3_funct_2(D, k9_xtuple_0(B), k9_xtuple_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k9_xtuple_0(B), k9_xtuple_0(B))))) ) )  =>  (C=k3_relat_1(D, B) => k16_rvsum_1(k15_finseq_1(k5_relat_1(B, A)))=k16_rvsum_1(k15_finseq_1(k5_relat_1(C, k8_relat_1(D, A))))) ) ) ) ) ) ) ) ).
fof(t11_matrtop1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v2_finseq_1(C)) )  =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(k2_xcmplx_0(E, D), A) <=> r2_tarski(E, B)) ) )  => k5_relat_1(k61_valued_1(C, D), A)=k61_valued_1(k5_relat_1(C, B), D)) ) ) ) ) ) ) ).
fof(t12_matrtop1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(k4_ordinal1)) &  (k15_finseq_1(k5_relat_1(k7_finseq_1(B, C), A))=k7_finseq_1(k15_finseq_1(k5_relat_1(B, A)), k15_finseq_1(k5_relat_1(C, D))) &  (! [E] :  (v7_ordinal1(E) =>  ( ~ (r1_xxreal_0(E, k5_numbers))  =>  (r2_tarski(E, D) <=> r2_tarski(k2_xcmplx_0(E, k3_finseq_1(B)), k9_subset_1(k4_ordinal1, A, k4_finseq_1(k7_finseq_1(B, C))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_matrtop1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  ( (k3_finseq_1(D)=k3_finseq_1(B) & r1_xxreal_0(k3_finseq_1(E), k3_finseq_1(C)))  => k15_finseq_1(k5_relat_1(k7_finseq_1(B, C), k8_relat_1(k7_finseq_1(D, E), A)))=k7_finseq_1(k15_finseq_1(k5_relat_1(B, k8_relat_1(D, A))), k15_finseq_1(k5_relat_1(C, k8_relat_1(E, A))))) ) ) ) ) ) ) ) ) ) ).
fof(t14_matrtop1, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, D, B, C) & m2_finseq_1(E, k3_finseq_2(D))) )  =>  (v1_matrix_0(k1_finseq_3(E, A)) &  (v2_matrix_0(k1_finseq_3(E, A), D, k7_nat_d(B, k4_card_1(k8_relat_1(E, A))), C) & m2_finseq_1(k1_finseq_3(E, A), k3_finseq_2(D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_matrtop1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_finseq_1(A), k2_finseq_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(A))))) )  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, D, A, B) & m2_finseq_1(E, k3_finseq_2(D))) )  =>  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k2_finseq_1(k1_matrix_0(E))) => k8_matrix_0(D, k4_matrix11(A, B, D, C, E), F)=k1_partfun1(k2_finseq_1(A), k2_finseq_1(A), k4_ordinal1, D, C, k8_matrix_0(D, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_matrtop1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), A, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  =>  ~ ( (k8_matrix13(C, D)=A &  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(C), k7_nat_d(B, A), B) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(C)))) )  =>  ~ (k8_matrix13(C, k8_matrlin(u1_struct_0(C), A, k7_nat_d(B, A), B, D, E))=B) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_matrtop1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(C), A, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(C)))) )  =>  ~ ( (k8_matrix13(C, D)=B &  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(C), A, k7_nat_d(A, B)) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(C)))) )  =>  ~ (k8_matrix13(C, k1_matrix15(u1_struct_0(C), A, B, k7_nat_d(A, B), D, E))=A) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_matrtop1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(B)))))) )  =>  ( ( ~ (A=k5_numbers)  =>  (D=k3_matrtop1(A, B, C) <=>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) &  (v3_card_1(E, A) &  (v1_finseq_1(E) & v3_valued_0(E)) ) ) )  => k1_funct_1(D, E)=k7_matrix_0(u1_struct_0(k2_vectsp_1), k4_matrix_3(k2_vectsp_1, k2_matrix15(u1_struct_0(k2_vectsp_1), k1_matrtop1(E)), C), 1)) ) ) )  &  (A=k5_numbers =>  (D=k3_matrtop1(A, B, C) <=>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) &  (v3_card_1(E, A) &  (v1_finseq_1(E) & v3_valued_0(E)) ) ) )  => k1_funct_1(D, E)=k4_struct_0(k15_euclid(B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_matrtop1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, A) &  (v1_finseq_1(D) & v3_valued_0(D)) ) ) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, B))  =>  (A=k5_numbers | k1_funct_1(k1_funct_1(k3_matrtop1(A, B, E), D), C)=k13_fvsum_1(k2_vectsp_1, k1_matrtop1(D), k8_matrix_0(u1_struct_0(k2_vectsp_1), E, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_matrtop1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  => k3_finseq_1(k11_matrix13(B, A, A, k3_matrix_1(B, A)))=A) ) ) ) ).
fof(t20_matrtop1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [D] :  (m1_matrlin(D, k2_vectsp_1, k6_prvect_1(k2_vectsp_1, A)) =>  (! [E] :  (m1_matrlin(E, k2_vectsp_1, k6_prvect_1(k2_vectsp_1, B)) =>  ( (D=k11_matrix13(k2_vectsp_1, A, A, k3_matrix_1(k2_vectsp_1, A)) & E=k11_matrix13(k2_vectsp_1, B, B, k3_matrix_1(k2_vectsp_1, B)))  =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(k2_vectsp_1), k3_finseq_1(D), k3_finseq_1(E)) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (F=C => r1_funct_2(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(B)), u1_struct_0(k6_prvect_1(k2_vectsp_1, A)), u1_struct_0(k6_prvect_1(k2_vectsp_1, B)), k3_matrtop1(A, B, C), k4_matrlin2(k2_vectsp_1, k6_prvect_1(k2_vectsp_1, A), k6_prvect_1(k2_vectsp_1, B), D, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_matrtop1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) &  (v1_finseq_1(C) & v3_valued_0(C)) ) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_finseq_1(A), k2_finseq_1(A)) &  (v3_funct_2(E, k2_finseq_1(A), k2_finseq_1(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(A))))) ) )  =>  (k1_funct_1(k3_matrtop1(A, B, D), C)=k1_funct_1(k3_matrtop1(A, B, k4_matrix11(A, B, u1_struct_0(k2_vectsp_1), E, D)), k3_relat_1(E, C)) &  (v3_card_1(k3_relat_1(E, C), A) & m2_finseq_1(k3_relat_1(E, C), k1_numbers)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_matrtop1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) &  (v1_finseq_1(C) & v3_valued_0(C)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, A) &  (v1_finseq_1(D) & v3_valued_0(D)) ) ) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  => k1_funct_1(k3_matrtop1(A, B, E), k4_rvsum_1(C, D))=k4_rvsum_1(k1_funct_1(k3_matrtop1(A, B, E), C), k1_funct_1(k3_matrtop1(A, B, E), D))) ) ) ) ) ) ) ) ) ) ).
fof(t23_matrtop1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, A) &  (v1_finseq_1(D) & v3_valued_0(D)) ) ) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  => k1_funct_1(k3_matrtop1(A, B, E), k10_rvsum_1(D, C))=k10_rvsum_1(k1_funct_1(k3_matrtop1(A, B, E), D), C)) ) ) ) ) ) ) ) ) ) ).
fof(t24_matrtop1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) &  (v1_finseq_1(C) & v3_valued_0(C)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, A) &  (v1_finseq_1(D) & v3_valued_0(D)) ) ) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  => k1_funct_1(k3_matrtop1(A, B, E), k8_rvsum_1(C, D))=k8_rvsum_1(k1_funct_1(k3_matrtop1(A, B, E), C), k1_funct_1(k3_matrtop1(A, B, E), D))) ) ) ) ) ) ) ) ) ) ).
fof(t25_matrtop1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) &  (v1_finseq_1(C) & v3_valued_0(C)) ) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  => k1_funct_1(k3_matrtop1(A, B, k5_matrlin2(A, B, k2_vectsp_1, D, E)), C)=k4_rvsum_1(k1_funct_1(k3_matrtop1(A, B, D), C), k1_funct_1(k3_matrtop1(A, B, E), C))) ) ) ) ) ) ) ) ) ) ).
fof(t26_matrtop1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_vectsp_1)) =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) &  (v3_card_1(E, A) &  (v1_finseq_1(E) & v3_valued_0(E)) ) ) )  =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (C=D => k10_rvsum_1(k1_funct_1(k3_matrtop1(A, B, F), E), C)=k1_funct_1(k3_matrtop1(A, B, k2_matrix13(A, B, k2_vectsp_1, F, D)), E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_matrtop1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  => k3_funct_2(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(B)), k3_matrtop1(A, B, E), k1_algstr_0(k15_euclid(A), C, D))=k1_algstr_0(k15_euclid(B), k3_funct_2(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(B)), k3_matrtop1(A, B, E), C), k3_funct_2(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(B)), k3_matrtop1(A, B, E), D))) ) ) ) ) ) ) ) ) ) ).
fof(t28_matrtop1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  => k3_funct_2(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(B)), k3_matrtop1(A, B, E), k5_algstr_0(k15_euclid(A), C, D))=k5_algstr_0(k15_euclid(B), k3_funct_2(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(B)), k3_matrtop1(A, B, E), C), k3_funct_2(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(B)), k3_matrtop1(A, B, E), D))) ) ) ) ) ) ) ) ) ) ).
fof(t29_matrtop1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  => k3_funct_2(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(B)), k3_matrtop1(A, B, C), k4_struct_0(k15_euclid(A)))=k4_struct_0(k15_euclid(B))) ) ) ) ) ) ).
fof(t30_matrtop1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => k2_ranknull(k15_euclid(A), k15_euclid(B), k3_matrtop1(A, B, D), k5_rusub_4(k15_euclid(A), E, C))=k5_rusub_4(k15_euclid(B), k2_ranknull(k15_euclid(A), k15_euclid(B), k3_matrtop1(A, B, D), E), k3_funct_2(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(B)), k3_matrtop1(A, B, D), C))) ) ) ) ) ) ) ) ) ) ).
fof(t31_matrtop1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) => k7_ranknull(k15_euclid(A), k15_euclid(B), k3_matrtop1(A, B, D), k5_rusub_4(k15_euclid(B), E, k3_funct_2(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(B)), k3_matrtop1(A, B, D), C)))=k5_rusub_4(k15_euclid(A), k7_ranknull(k15_euclid(A), k15_euclid(B), k3_matrtop1(A, B, D), E), C)) ) ) ) ) ) ) ) ) ) ).
fof(t32_matrtop1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(k2_vectsp_1), k1_matrix_0(D), C) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  ~ ( ( (A=k5_numbers => B=k5_numbers)  &  ( (B=k5_numbers => C=k5_numbers)  &  ~ (k1_partfun1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(B)), u1_struct_0(k15_euclid(k1_matrix_0(D))), u1_struct_0(k15_euclid(C)), k3_matrtop1(A, B, D), k3_matrtop1(k1_matrix_0(D), C, E))=k3_matrtop1(k3_finseq_1(D), k1_matrix_0(E), k5_matrix_3(A, B, C, k2_vectsp_1, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_matrtop1, axiom,  (! [A] :  (v7_ordinal1(A) => r2_funct_2(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)), k3_matrtop1(A, A, k3_matrix_1(k2_vectsp_1, A)), k3_struct_0(k15_euclid(A)))) ) ).
fof(t34_matrtop1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (r2_funct_2(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(B)), k3_matrtop1(A, B, C), k3_matrtop1(A, B, D)) => C=D) ) ) ) ) ) ) ) ) ).
fof(t35_matrtop1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, A) &  (v1_finseq_1(D) & v3_valued_0(D)) ) ) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(k2_vectsp_1), C, B) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (k1_funct_1(k3_matrtop1(k2_xcmplx_0(A, C), B, k8_matrlin(u1_struct_0(k2_vectsp_1), A, C, B, E, F)), k7_finseq_1(D, k5_finseq_2(k4_ordinal1, C, k5_numbers)))=k1_funct_1(k3_matrtop1(A, B, E), D) & k1_funct_1(k3_matrtop1(k2_xcmplx_0(C, A), B, k8_matrlin(u1_struct_0(k2_vectsp_1), C, A, B, F, E)), k7_finseq_1(k5_finseq_2(k4_ordinal1, C, k5_numbers), D))=k1_funct_1(k3_matrtop1(A, B, E), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_matrtop1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, A) &  (v1_finseq_1(D) & v3_valued_0(D)) ) ) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(k2_vectsp_1), C, B) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) &  (v3_card_1(G, C) &  (v1_finseq_1(G) & v3_valued_0(G)) ) ) )  => k1_funct_1(k3_matrtop1(k2_xcmplx_0(A, C), B, k8_matrlin(u1_struct_0(k2_vectsp_1), A, C, B, E, F)), k7_finseq_1(D, G))=k4_rvsum_1(k1_funct_1(k3_matrtop1(A, B, E), D), k1_funct_1(k3_matrtop1(C, B, F), G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_matrtop1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, A) &  (v1_finseq_1(D) & v3_valued_0(D)) ) ) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(k2_vectsp_1), A, C) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  ( (A=k5_numbers => k2_xcmplx_0(C, B)=k5_numbers)  => k1_funct_1(k3_matrtop1(A, k2_xcmplx_0(k1_matrix_0(E), k1_matrix_0(F)), k1_matrix15(u1_struct_0(k2_vectsp_1), A, C, B, E, F)), D)=k7_finseq_1(k1_funct_1(k3_matrtop1(A, C, E), D), k1_funct_1(k3_matrtop1(A, B, F), D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_matrtop1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) &  (v1_finseq_1(C) & v3_valued_0(C)) ) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (D=k17_finseq_1(k3_finseq_2(u1_struct_0(k2_vectsp_1)), A, k3_matrix_1(k2_vectsp_1, B)) => k16_finseq_1(A, k1_funct_1(k3_matrtop1(A, B, D), C))=C) ) ) ) ) ) ) ) ) ).
fof(t39_matrtop1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (v2_funct_1(k3_matrtop1(A, B, C)) <=> k8_matrix13(k2_vectsp_1, C)=A) ) ) ) ) ) ) ).
fof(t40_matrtop1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, u1_struct_0(k2_vectsp_1), A, A) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (v2_funct_1(k3_matrtop1(A, A, B)) <=>  ~ (k12_matrix_3(A, k2_vectsp_1, B)=k4_struct_0(k2_vectsp_1)) ) ) ) ) ) ).
fof(t41_matrtop1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (v2_funct_2(k3_matrtop1(A, B, C), u1_struct_0(k15_euclid(B))) <=> k8_matrix13(k2_vectsp_1, C)=B) ) ) ) ) ) ) ).
fof(t42_matrtop1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, u1_struct_0(k2_vectsp_1), A, A) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (v2_funct_2(k3_matrtop1(A, A, B), u1_struct_0(k15_euclid(A))) <=>  ~ (k12_matrix_3(A, k2_vectsp_1, B)=k4_struct_0(k2_vectsp_1)) ) ) ) ) ) ).
fof(t43_matrtop1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, u1_struct_0(k2_vectsp_1), A, A) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(k2_vectsp_1), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  ( ~ (k12_matrix_3(A, k2_vectsp_1, B)=k4_struct_0(k2_vectsp_1))  =>  (k2_funct_1(k3_matrtop1(A, A, B))=k3_matrtop1(A, A, C) <=> k1_matrix_6(A, k2_vectsp_1, B)=C) ) ) ) ) ) ) ) ).
fof(t44_matrtop1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (? [D] :  ( (v3_card_1(D, B) & m2_finseq_1(D, k1_numbers))  &  ( (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) => k1_funct_1(D, E)=k12_euclid(k2_matrtop1(k8_matrix_0(u1_struct_0(k2_vectsp_1), C, E)))) ) )  &  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) &  (v3_card_1(E, A) &  (v1_finseq_1(E) & v3_valued_0(E)) ) ) )  => r1_xxreal_0(k12_euclid(k1_funct_1(k3_matrtop1(A, B, C), E)), k3_xcmplx_0(k18_rvsum_1(D), k12_euclid(E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_matrtop1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) &  (v3_card_1(E, A) &  (v1_finseq_1(E) & v3_valued_0(E)) ) ) )  => r1_xxreal_0(k12_euclid(k1_funct_1(k3_matrtop1(A, B, C), E)), k3_xcmplx_0(D, k12_euclid(E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_matrtop1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  ~ ( (k8_matrix13(k2_vectsp_1, C)=A &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) &  (v3_card_1(E, A) &  (v1_finseq_1(E) & v3_valued_0(E)) ) ) )  => r1_xxreal_0(k12_euclid(E), k3_xcmplx_0(D, k12_euclid(k1_funct_1(k3_matrtop1(A, B, C), E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_matrtop1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  => v5_pre_topc(k3_matrtop1(A, B, C), k15_euclid(A), k15_euclid(B))) ) ) ) ) ) ).
fof(dt_k1_matrtop1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  => m2_finseq_1(k1_matrtop1(A), u1_struct_0(k2_vectsp_1))) ) ).
fof(dt_k2_matrtop1, axiom,  (! [A] :  (m1_finseq_1(A, u1_struct_0(k2_vectsp_1)) => m2_finseq_1(k2_matrtop1(A), k1_numbers)) ) ).
fof(dt_k3_matrtop1, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(k2_vectsp_1), A, B) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) ) )  =>  (v1_funct_1(k3_matrtop1(A, B, C)) &  (v1_funct_2(k3_matrtop1(A, B, C), u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(B))) & m1_subset_1(k3_matrtop1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(B)))))) ) ) ) ).
fof(fc1_matrtop2, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k6_prvect_1(B, A))))) )  =>  (v7_vectsp_1(k1_vectsp_7(B, k6_prvect_1(B, A), C), B) & v1_matrlin(k1_vectsp_7(B, k6_prvect_1(B, A), C), B)) ) ) ).
fof(t1_matrtop2, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (m1_vectsp_6(A, k2_vectsp_1, k6_prvect_1(k2_vectsp_1, B)) <=> m1_rlvect_2(A, k15_euclid(B))) ) ) ) ).
fof(t2_matrtop2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_vectsp_6(B, k2_vectsp_1, k6_prvect_1(k2_vectsp_1, A)) =>  (! [C] :  (m1_rlvect_2(C, k15_euclid(A)) =>  (r1_funct_2(u1_struct_0(k15_euclid(A)), k1_numbers, u1_struct_0(k6_prvect_1(k2_vectsp_1, A)), u1_struct_0(k2_vectsp_1), C, B) => k3_rlvect_2(k15_euclid(A), C)=k1_vectsp_6(k2_vectsp_1, k6_prvect_1(k2_vectsp_1, A), B)) ) ) ) ) ) ) ).
fof(t3_matrtop2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k15_euclid(A)), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), k1_numbers)))) )  =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k6_prvect_1(k2_vectsp_1, A))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k6_prvect_1(k2_vectsp_1, A)), u1_struct_0(k2_vectsp_1)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_prvect_1(k2_vectsp_1, A)), u1_struct_0(k2_vectsp_1))))) )  =>  ( (r1_funct_2(u1_struct_0(k15_euclid(A)), k1_numbers, u1_struct_0(k6_prvect_1(k2_vectsp_1, A)), u1_struct_0(k2_vectsp_1), C, E) & B=D)  => k5_rlvect_2(k15_euclid(A), B, C)=k3_vectsp_6(k2_vectsp_1, k6_prvect_1(k2_vectsp_1, A), D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_matrtop2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k6_prvect_1(k2_vectsp_1, A))) =>  (C=B => k4_rlvect_1(k15_euclid(A), B)=k4_rlvect_1(k6_prvect_1(k2_vectsp_1, A), C)) ) ) ) ) ) ) ).
fof(t5_matrtop2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_vectsp_6(B, k2_vectsp_1, k6_prvect_1(k2_vectsp_1, A)) =>  (! [C] :  (m1_rlvect_2(C, k15_euclid(A)) =>  (r1_funct_2(u1_struct_0(k15_euclid(A)), k1_numbers, u1_struct_0(k6_prvect_1(k2_vectsp_1, A)), u1_struct_0(k2_vectsp_1), C, B) => k6_rlvect_2(k15_euclid(A), C)=k4_vectsp_6(k2_vectsp_1, k6_prvect_1(k2_vectsp_1, A), B)) ) ) ) ) ) ) ).
fof(t6_matrtop2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k6_prvect_1(k2_vectsp_1, A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (B=C => k2_struct_0(k1_rlvect_3(k15_euclid(A), C))=k2_struct_0(k1_vectsp_7(k2_vectsp_1, k6_prvect_1(k2_vectsp_1, A), B))) ) ) ) ) ) ) ).
fof(t7_matrtop2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k6_prvect_1(k2_vectsp_1, A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (B=C =>  (v1_vectsp_7(B, k2_vectsp_1, k6_prvect_1(k2_vectsp_1, A)) <=> v1_rlvect_3(C, k15_euclid(A))) ) ) ) ) ) ) ) ).
fof(t8_matrtop2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_vectsp_6(D, A, B) => m1_vectsp_6(k2_partfun1(u1_struct_0(B), u1_struct_0(A), D, u1_struct_0(C)), A, C)) ) ) ) ) ) ) ) ).
fof(t9_matrtop2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_vectsp_7(C, A, B) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (! [D] :  (m1_vectsp_6(D, A, B) =>  (! [E] :  (m1_vectsp_6(E, A, B) =>  ( (r1_tarski(k1_vectsp_6(A, B, D), C) &  (r1_tarski(k1_vectsp_6(A, B, E), C) & k4_vectsp_6(A, B, D)=k4_vectsp_6(A, B, E)) )  => r1_vectsp_6(A, B, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_matrtop2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlvect_2(C, A) => m1_rlvect_2(k2_partfun1(u1_struct_0(A), k1_numbers, C, u1_struct_0(B)), B)) ) ) ) ) ) ).
fof(t11_matrtop2, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_vectsp_4(C, k2_vectsp_1, k6_prvect_1(k2_vectsp_1, B)) =>  (! [D] :  (m1_rlsub_1(D, k15_euclid(B)) =>  (k2_struct_0(C)=k2_struct_0(D) =>  (m1_vectsp_6(A, k2_vectsp_1, C) <=> m1_rlvect_2(A, D)) ) ) ) ) ) ) ) ) ).
fof(t12_matrtop2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_vectsp_4(B, k2_vectsp_1, k6_prvect_1(k2_vectsp_1, A)) =>  (! [C] :  (m1_rlsub_1(C, k15_euclid(A)) =>  (! [D] :  (m1_vectsp_6(D, k2_vectsp_1, B) =>  (! [E] :  (m1_rlvect_2(E, C) =>  (r1_funct_2(u1_struct_0(B), u1_struct_0(k2_vectsp_1), u1_struct_0(C), k1_numbers, D, E) =>  (k1_vectsp_6(k2_vectsp_1, B, D)=k3_rlvect_2(C, E) & k4_vectsp_6(k2_vectsp_1, B, D)=k6_rlvect_2(C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_matrtop2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (k8_matrix13(k2_vectsp_1, C)=A => m1_matrlin(C, k2_vectsp_1, k1_vectsp_7(k2_vectsp_1, k6_prvect_1(k2_vectsp_1, B), k9_matrix13(k2_vectsp_1, A, B, C)))) ) ) ) ) ) ) ).
fof(t14_matrtop2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(D, B, C) &  (v1_mod_2(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) =>  (! [F] :  (m2_vectsp_6(F, A, B, E) =>  (v2_funct_1(k2_partfun1(u1_struct_0(B), u1_struct_0(C), D, E)) => k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, k4_vectsp_6(A, B, F))=k4_vectsp_6(A, C, k8_ranknull(A, B, C, F, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_matrtop2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) &  (v1_finseq_1(C) & v3_valued_0(C)) ) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_finseq_1(A))) =>  ~ ( (v2_funct_1(k2_partfun1(k4_ordinal1, k3_finseq_2(u1_struct_0(k2_vectsp_1)), D, E)) &  (k2_relset_1(k3_finseq_2(u1_struct_0(k2_vectsp_1)), k2_partfun1(k4_ordinal1, k3_finseq_2(u1_struct_0(k2_vectsp_1)), D, E))=k9_matrix13(k2_vectsp_1, A, B, D) &  (! [F] :  (m2_vectsp_6(F, k2_vectsp_1, k6_prvect_1(k2_vectsp_1, B), k9_matrix13(k2_vectsp_1, A, B, D)) =>  ~ ( (k4_vectsp_6(k2_vectsp_1, k6_prvect_1(k2_vectsp_1, B), F)=k1_funct_1(k3_matrtop1(A, B, D), C) &  (! [G] :  (v7_ordinal1(G) =>  (r2_tarski(G, E) => k1_funct_1(F, k7_matrix_0(u1_struct_0(k2_vectsp_1), D, G))=k16_rvsum_1(k15_finseq_1(k5_relat_1(C, k8_relset_1(k4_ordinal1, k3_finseq_2(u1_struct_0(k2_vectsp_1)), D, k1_tarski(k7_matrix_0(u1_struct_0(k2_vectsp_1), D, G))))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_matrtop2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) &  (v1_finseq_1(C) & v3_valued_0(C)) ) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  ~ ( (v2_funct_1(D) &  (! [E] :  (m2_vectsp_6(E, k2_vectsp_1, k6_prvect_1(k2_vectsp_1, B), k9_matrix13(k2_vectsp_1, A, B, D)) =>  ~ ( (k4_vectsp_6(k2_vectsp_1, k6_prvect_1(k2_vectsp_1, B), E)=k1_funct_1(k3_matrtop1(A, B, D), C) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k4_finseq_1(C)) => k1_funct_1(E, k7_matrix_0(u1_struct_0(k2_vectsp_1), D, F))=k1_funct_1(C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_matrtop2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) &  (v1_finseq_1(C) & v3_valued_0(C)) ) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [E] :  (m1_matrlin(E, k2_vectsp_1, k1_vectsp_7(k2_vectsp_1, k6_prvect_1(k2_vectsp_1, B), k9_matrix13(k2_vectsp_1, A, B, D))) =>  (E=D =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k1_vectsp_7(k2_vectsp_1, k6_prvect_1(k2_vectsp_1, B), k9_matrix13(k2_vectsp_1, A, B, D)))) =>  (F=k1_funct_1(k3_matrtop1(A, B, D), C) => k9_matrlin(k2_vectsp_1, k1_vectsp_7(k2_vectsp_1, k6_prvect_1(k2_vectsp_1, B), k9_matrix13(k2_vectsp_1, A, B, D)), E, F)=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_matrtop2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  => k2_relset_1(u1_struct_0(k15_euclid(B)), k3_matrtop1(A, B, C))=k2_struct_0(k1_vectsp_7(k2_vectsp_1, k6_prvect_1(k2_vectsp_1, B), k9_matrix13(k2_vectsp_1, A, B, C)))) ) ) ) ) ) ).
fof(t19_matrtop2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_funct_1(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(A))))  =>  ~ ( (v1_rlvect_3(k2_relset_1(u1_struct_0(k15_euclid(A)), B), k15_euclid(A)) &  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(k2_vectsp_1), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  ~ ( (v1_matrix_6(C, A, k2_vectsp_1) & k17_finseq_1(k3_finseq_2(u1_struct_0(k2_vectsp_1)), k3_finseq_1(B), C)=B) ) ) ) ) ) ) ) ) ) ).
fof(t20_matrtop2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) &  (v1_finseq_1(C) & v3_valued_0(C)) ) ) )  =>  (! [D] :  (m1_matrlin(D, k2_vectsp_1, k6_prvect_1(k2_vectsp_1, A)) =>  (D=k11_matrix13(k2_vectsp_1, A, A, k3_matrix_1(k2_vectsp_1, A)) =>  (r1_struct_0(k1_vectsp_7(k2_vectsp_1, k6_prvect_1(k2_vectsp_1, A), k2_relset_1(u1_struct_0(k6_prvect_1(k2_vectsp_1, A)), k17_finseq_1(u1_struct_0(k6_prvect_1(k2_vectsp_1, A)), B, D))), C) <=> C=k7_finseq_1(k16_finseq_1(B, C), k5_finseq_2(k4_ordinal1, k7_nat_d(A, B), k5_numbers))) ) ) ) ) ) ) ) ) ) ).
fof(t21_matrtop2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_funct_1(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(A))))  =>  (v1_rlvect_3(k2_relset_1(u1_struct_0(k15_euclid(A)), B), k15_euclid(A)) =>  (! [C] :  (m1_matrlin(C, k2_vectsp_1, k6_prvect_1(k2_vectsp_1, A)) =>  (C=k11_matrix13(k2_vectsp_1, A, A, k3_matrix_1(k2_vectsp_1, A)) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(k2_vectsp_1), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  ( (v1_matrix_6(D, A, k2_vectsp_1) & k17_finseq_1(k3_finseq_2(u1_struct_0(k2_vectsp_1)), k3_finseq_1(B), D)=B)  => k7_relset_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)), k3_matrtop1(A, A, D), k2_struct_0(k1_vectsp_7(k2_vectsp_1, k6_prvect_1(k2_vectsp_1, A), k2_relset_1(u1_struct_0(k6_prvect_1(k2_vectsp_1, A)), k17_finseq_1(u1_struct_0(k6_prvect_1(k2_vectsp_1, A)), k3_finseq_1(B), C)))))=k2_struct_0(k1_rlvect_3(k15_euclid(A), k2_relset_1(u1_struct_0(k15_euclid(A)), B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_matrtop2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_rlvect_3(B, k15_euclid(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (! [C] :  ( (v1_rlvect_3(C, k15_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  ~ ( (k1_card_1(B)=k1_card_1(C) &  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(k2_vectsp_1), A, A) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  ~ ( (v1_matrix_6(D, A, k2_vectsp_1) & k7_relset_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)), k3_matrtop1(A, A, D), k2_struct_0(k1_rlvect_3(k15_euclid(A), B)))=k2_struct_0(k1_rlvect_3(k15_euclid(A), C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_matrtop2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [D] :  ( (v1_rlvect_3(D, k15_euclid(A)) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (k8_matrix13(k2_vectsp_1, C)=A => v1_rlvect_3(k2_ranknull(k15_euclid(A), k15_euclid(B), k3_matrtop1(A, B, C), D), k15_euclid(B))) ) ) ) ) ) ) ) ) ).
fof(t24_matrtop2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [D] :  ( (v1_rlaffin1(D, k15_euclid(A)) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (k8_matrix13(k2_vectsp_1, C)=A => v1_rlaffin1(k2_ranknull(k15_euclid(A), k15_euclid(B), k3_matrtop1(A, B, C), D), k15_euclid(B))) ) ) ) ) ) ) ) ) ).
fof(t25_matrtop2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [D] :  ( (v1_rlaffin1(D, k15_euclid(A)) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (k8_matrix13(k2_vectsp_1, C)=A =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  (r2_tarski(E, k4_rlaffin1(k15_euclid(A), D)) =>  (r2_tarski(k3_funct_2(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(B)), k3_matrtop1(A, B, C), E), k4_rlaffin1(k15_euclid(B), k2_ranknull(k15_euclid(A), k15_euclid(B), k3_matrtop1(A, B, C), D))) &  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) &  (v3_card_1(F, A) &  (v1_finseq_1(F) & v3_valued_0(F)) ) ) )  => k1_funct_1(k5_rlaffin1(k15_euclid(A), D, E), F)=k1_funct_1(k5_rlaffin1(k15_euclid(B), k2_ranknull(k15_euclid(A), k15_euclid(B), k3_matrtop1(A, B, C), D), k3_funct_2(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(B)), k3_matrtop1(A, B, C), E)), k1_funct_1(k3_matrtop1(A, B, C), F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_matrtop2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [D] :  ( (v1_rlvect_3(D, k15_euclid(B)) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(B)))))  =>  (k8_matrix13(k2_vectsp_1, C)=A => v1_rlvect_3(k7_ranknull(k15_euclid(A), k15_euclid(B), k3_matrtop1(A, B, C), D), k15_euclid(A))) ) ) ) ) ) ) ) ) ).
fof(t27_matrtop2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [D] :  ( (v1_rlaffin1(D, k15_euclid(B)) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(B)))))  =>  (k8_matrix13(k2_vectsp_1, C)=A => v1_rlaffin1(k7_ranknull(k15_euclid(A), k15_euclid(B), k3_matrtop1(A, B, C), D), k15_euclid(A))) ) ) ) ) ) ) ) ) ).
fof(rc1_matrtop3, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_funcop_1(B) &  (v2_funcop_1(B) & v1_matrtop3(B, A)) ) ) ) ) ) ).
fof(cc1_matrtop3, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_funcop_1(C) & v1_matrtop3(C, B)) ) )  =>  (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_funcop_1(C) & v1_matrtop3(C, A)) ) ) ) ) ) ) ).
fof(cc2_matrtop3, axiom,  (! [A, B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_funcop_1(C) &  (v1_matrtop3(C, A) & v1_matrtop3(C, B)) ) ) )  =>  (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_funcop_1(C) & v1_matrtop3(C, k3_xboole_0(A, B))) ) ) ) ) ) ).
fof(fc1_matrtop3, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_funcop_1(C) & v1_matrtop3(C, A)) ) )  &  (v1_relat_1(D) &  (v1_funct_1(D) &  (v1_funcop_1(D) & v1_matrtop3(D, B)) ) ) )  =>  (v1_relat_1(k3_relat_1(D, C)) & v1_matrtop3(k3_relat_1(D, C), k2_xboole_0(A, B))) ) ) ).
fof(rc2_matrtop3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))))) &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(k15_euclid(A))) &  (v5_relat_1(B, u1_struct_0(k15_euclid(A))) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(k15_euclid(A))) &  (v1_funct_2(B, u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))) & v1_topreal9(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(cc3_matrtop3, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(B))))) =>  ( (v1_funct_1(C) & v1_funct_2(C, u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(B))))  =>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(B))) & v1_pre_poly(C)) ) ) ) ) ) ) ).
fof(fc2_matrtop3, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(k2_vectsp_1), A, B) & m1_finseq_1(C, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) ) )  =>  (v1_funct_1(k3_matrtop1(A, B, C)) &  (v1_funct_2(k3_matrtop1(A, B, C), u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(B))) & v13_vectsp_1(k3_matrtop1(A, B, C), k15_euclid(A), k15_euclid(B))) ) ) ) ).
fof(fc3_matrtop3, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_matrix_0(B) &  (v2_matrix_0(B, u1_struct_0(k2_vectsp_1), A, A) & m1_finseq_1(B, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  (v1_funct_1(k3_matrtop1(A, A, B)) &  (v1_funct_2(k3_matrtop1(A, A, B), u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))) & v1_topreal9(k3_matrtop1(A, A, B), A)) ) ) ) ).
fof(fc4_matrtop3, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))) &  (v1_topreal9(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)))))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))) &  (v1_topreal9(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)))))) ) ) ) )  =>  (v1_funct_1(k3_relat_1(C, B)) &  (v1_funct_2(k3_relat_1(C, B), u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))) & v1_topreal9(k3_relat_1(C, B), A)) ) ) ) ).
fof(fc5_matrtop3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_funct_1(k3_struct_0(k15_euclid(A))) &  (v1_funct_2(k3_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))) & v3_matrtop3(k3_struct_0(k15_euclid(A)), A)) ) ) ) ).
fof(rc3_matrtop3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))))) &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(k15_euclid(A))) &  (v5_relat_1(B, u1_struct_0(k15_euclid(A))) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(k15_euclid(A))) &  (v1_funct_2(B, u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))) &  (v1_funcop_1(B) &  (v2_funcop_1(B) &  (v1_pre_poly(B) & v3_matrtop3(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc6_matrtop3, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))) &  (v3_matrtop3(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)))))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))) &  (v3_matrtop3(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)))))) ) ) ) )  =>  (v1_funct_1(k3_relat_1(C, B)) &  (v1_funct_2(k3_relat_1(C, B), u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))) & v3_matrtop3(k3_relat_1(C, B), A)) ) ) ) ).
fof(cc4_matrtop3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))) & v3_matrtop3(B, A)) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))) &  (v13_vectsp_1(B, k15_euclid(A), k15_euclid(A)) &  (v1_topreal9(B, A) &  (v3_tops_2(B, k15_euclid(A), k15_euclid(A)) & v2_matrtop3(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(fc7_matrtop3, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))) &  (v3_matrtop3(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)))))) ) ) )  =>  (v1_funct_1(k2_tops_2(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)), B)) &  (v1_funct_2(k2_tops_2(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)), B), u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))) & v3_matrtop3(k2_tops_2(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)), B), A)) ) ) ) ).
fof(fc8_matrtop3, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))) &  (v2_matrtop3(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)))))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))) &  (v2_matrtop3(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)))))) ) ) ) )  =>  (v1_funct_1(k3_relat_1(C, B)) &  (v1_funct_2(k3_relat_1(C, B), u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))) & v2_matrtop3(k3_relat_1(C, B), A)) ) ) ) ).
fof(fc9_matrtop3, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))) &  (v13_vectsp_1(B, k15_euclid(A), k15_euclid(A)) &  (v1_topreal9(B, A) &  (v2_matrtop3(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)))))) ) ) ) ) )  =>  (v1_matrix_0(k3_matrtop3(A, B)) &  (v2_matrix_0(k3_matrtop3(A, B), u1_struct_0(k2_vectsp_1), A, A) & v4_matrix_6(k3_matrtop3(A, B), A, k2_vectsp_1)) ) ) ) ).
fof(cc5_matrtop3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))) &  (v13_vectsp_1(B, k15_euclid(A), k15_euclid(A)) &  (v1_topreal9(B, A) & v2_matrtop3(B, A)) ) ) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))) & v3_tops_2(B, k15_euclid(A), k15_euclid(A))) ) ) ) ) ) ) ).
fof(t1_matrtop3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_finseq_1(A), k2_finseq_1(A)) &  (v3_funct_2(D, k2_finseq_1(A), k2_finseq_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(A))))) ) )  =>  (k12_matrix_3(A, B, k4_matrix_0(u1_struct_0(B), k4_matrix11(A, A, u1_struct_0(B), D, k4_matrix_0(u1_struct_0(B), k4_matrix11(A, A, u1_struct_0(B), D, C)))))=k12_matrix_3(A, B, C) &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (r2_hidden(k4_tarski(E, F), k2_matrix_0(C)) => k3_matrix_0(u1_struct_0(B), k4_matrix_0(u1_struct_0(B), k4_matrix11(A, A, u1_struct_0(B), D, k4_matrix_0(u1_struct_0(B), k4_matrix11(A, A, u1_struct_0(B), D, C)))), E, F)=k3_matrix_0(u1_struct_0(B), C, k1_funct_1(D, E), k1_funct_1(D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_matrtop3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(B), A, A) &  (v1_matrix_1(C, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(B)))) ) )  => k4_matrix_0(u1_struct_0(B), C)=C) ) ) ) ) ) ).
fof(t3_matrtop3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v3_valued_0(B)) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => k18_rvsum_1(k12_rvsum_1(k1_funct_7(B, C, A)))=k2_xcmplx_0(k6_xcmplx_0(k18_rvsum_1(k12_rvsum_1(B)), k1_square_1(k1_funct_1(B, C))), k1_square_1(A))) ) ) ) ) ) ) ).
fof(d1_matrtop3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_funcop_1(B)) )  =>  (v1_matrtop3(B, A) <=>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  (r2_tarski(C, k9_xtuple_0(B)) =>  (k1_funct_1(k1_funct_1(B, C), D)=k1_funct_1(C, D) | r2_tarski(D, A)) ) ) ) ) ) ) ) ) ).
fof(d2_matrtop3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k2_finseq_1(A)) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(k2_vectsp_1), A, A) &  (v1_matrix_6(C, A, k2_vectsp_1) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  (C=k1_matrtop3(A, B) <=>  (k3_matrix_0(u1_struct_0(k2_vectsp_1), C, B, B)=k4_algstr_0(k2_vectsp_1, k5_struct_0(k2_vectsp_1)) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_hidden(k4_tarski(D, E), k2_matrix_0(C)) =>  ( (D=E =>  (D=B | k3_matrix_0(u1_struct_0(k2_vectsp_1), C, D, D)=k5_struct_0(k2_vectsp_1)) )  &  ( ~ (D=E)  => k3_matrix_0(u1_struct_0(k2_vectsp_1), C, D, E)=k4_struct_0(k2_vectsp_1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_matrtop3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(A, k2_finseq_1(B)) => k12_matrix_3(B, k2_vectsp_1, k1_matrtop3(B, A))=k4_algstr_0(k2_vectsp_1, k5_struct_0(k2_vectsp_1))) ) ) ) ) ).
fof(t5_matrtop3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(C))) =>  ( (r2_tarski(A, k2_finseq_1(C)) & r2_tarski(B, k2_finseq_1(C)))  =>  (A=B | k13_fvsum_1(k2_vectsp_1, k1_matrtop1(D), k8_matrix_0(u1_struct_0(k2_vectsp_1), k1_matrtop3(C, A), B))=k1_funct_1(D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t6_matrtop3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(B))) =>  (r2_tarski(A, k2_finseq_1(B)) => k13_fvsum_1(k2_vectsp_1, k1_matrtop1(C), k8_matrix_0(u1_struct_0(k2_vectsp_1), k1_matrtop3(B, A), A))=k4_xcmplx_0(k1_funct_1(C, A))) ) ) ) ) ) ) ).
fof(t7_matrtop3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(A, k2_finseq_1(B)) =>  (v1_matrix_1(k1_matrtop3(B, A), k2_vectsp_1) & k1_matrix_6(B, k2_vectsp_1, k1_matrtop3(B, A))=k1_matrtop3(B, A)) ) ) ) ) ) ).
fof(t8_matrtop3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(C))) =>  (r2_tarski(A, k2_finseq_1(C)) =>  (A=B | k1_funct_1(k3_funct_2(u1_struct_0(k15_euclid(C)), u1_struct_0(k15_euclid(C)), k3_matrtop1(C, C, k1_matrtop3(C, A)), D), B)=k1_funct_1(D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t9_matrtop3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(B))) =>  (r2_tarski(A, k2_finseq_1(B)) => k1_funct_1(k3_funct_2(u1_struct_0(k15_euclid(B)), u1_struct_0(k15_euclid(B)), k3_matrtop1(B, B, k1_matrtop3(B, A)), C), A)=k4_xcmplx_0(k1_funct_1(C, A))) ) ) ) ) ) ) ).
fof(t10_matrtop3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(B))) =>  (r2_tarski(A, k2_finseq_1(B)) => k3_funct_2(u1_struct_0(k15_euclid(B)), u1_struct_0(k15_euclid(B)), k3_matrtop1(B, B, k1_matrtop3(B, A)), C)=k1_funct_7(C, A, k4_xcmplx_0(k1_funct_1(C, A)))) ) ) ) ) ) ) ).
fof(t11_matrtop3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(A, k2_finseq_1(B)) => v1_matrtop3(k3_matrtop1(B, B, k1_matrtop3(B, A)), k3_matrix13(A))) ) ) ) ) ).
fof(t12_matrtop3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_vectsp_1)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_vectsp_1)) =>  ( (C=k19_sin_cos(A) & D=k17_sin_cos(A))  => k12_matrix_3(k1_wsierp_1(k10_matrixj1(u1_struct_0(k2_vectsp_1), k17_matrixj1(u1_struct_0(k2_vectsp_1), 2, B, k15_matrix_0(u1_struct_0(k2_vectsp_1), C, D, k4_algstr_0(k2_vectsp_1, D), C), k3_matrix_1(k2_vectsp_1, B)))), k2_vectsp_1, k20_matrixj1(u1_struct_0(k2_vectsp_1), k4_struct_0(k2_vectsp_1), k17_matrixj1(u1_struct_0(k2_vectsp_1), 2, B, k15_matrix_0(u1_struct_0(k2_vectsp_1), C, D, k4_algstr_0(k2_vectsp_1, D), C), k3_matrix_1(k2_vectsp_1, B))))=k5_struct_0(k2_vectsp_1)) ) ) ) ) ) ) ) ) ).
fof(d3_matrtop3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(D, A))  =>  (r1_xxreal_0(D, C) |  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(k2_vectsp_1), A, A) &  (v1_matrix_6(E, A, k2_vectsp_1) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  (E=k2_matrtop3(A, B, C, D) <=>  (k3_matrix_0(u1_struct_0(k2_vectsp_1), E, C, C)=k19_sin_cos(B) &  (k3_matrix_0(u1_struct_0(k2_vectsp_1), E, D, D)=k19_sin_cos(B) &  (k3_matrix_0(u1_struct_0(k2_vectsp_1), E, C, D)=k17_sin_cos(B) &  (k3_matrix_0(u1_struct_0(k2_vectsp_1), E, D, C)=k4_xcmplx_0(k17_sin_cos(B)) &  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  (r2_hidden(k4_tarski(F, G), k2_matrix_0(E)) =>  ( (F=G =>  (F=C |  (F=D | k3_matrix_0(u1_struct_0(k2_vectsp_1), E, F, F)=k5_struct_0(k2_vectsp_1)) ) )  &  ~ ( ( ~ (F=G)  &  ( ~ (k4_matrix13(F, G)=k4_matrix13(C, D))  &  ~ (k3_matrix_0(u1_struct_0(k2_vectsp_1), E, F, G)=k4_struct_0(k2_vectsp_1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_matrtop3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(C, D))  =>  (r1_xxreal_0(C, B) | k12_matrix_3(D, k2_vectsp_1, k2_matrtop3(D, A, B, C))=k5_struct_0(k2_vectsp_1)) ) ) ) ) ) ) ) ) ) ).
fof(t14_matrtop3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(E))) =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(C, E) & r2_tarski(D, k2_finseq_1(E))) )  =>  (r1_xxreal_0(C, B) |  (D=B |  (D=C | k13_fvsum_1(k2_vectsp_1, k1_matrtop1(F), k8_matrix_0(u1_struct_0(k2_vectsp_1), k2_matrtop3(E, A, B, C), D))=k1_funct_1(F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_matrtop3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(D))) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(C, D))  =>  (r1_xxreal_0(C, B) | k13_fvsum_1(k2_vectsp_1, k1_matrtop1(E), k8_matrix_0(u1_struct_0(k2_vectsp_1), k2_matrtop3(D, A, B, C), B))=k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(E, B), k19_sin_cos(A)), k3_xcmplx_0(k1_funct_1(E, C), k4_xcmplx_0(k17_sin_cos(A))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_matrtop3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(D))) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(C, D))  =>  (r1_xxreal_0(C, B) | k13_fvsum_1(k2_vectsp_1, k1_matrtop1(E), k8_matrix_0(u1_struct_0(k2_vectsp_1), k2_matrtop3(D, A, B, C), C))=k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(E, B), k17_sin_cos(A)), k3_xcmplx_0(k1_funct_1(E, C), k19_sin_cos(A)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_matrtop3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(D, E))  =>  (r1_xxreal_0(D, C) | k4_matrix_3(k2_vectsp_1, k2_matrtop3(E, A, C, D), k2_matrtop3(E, B, C, D))=k2_matrtop3(E, k2_xcmplx_0(A, B), C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_matrtop3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(B, C))  =>  (r1_xxreal_0(B, A) | k2_matrtop3(C, k5_numbers, A, B)=k3_matrix_1(k2_vectsp_1, C)) ) ) ) ) ) ) ) ).
fof(t19_matrtop3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(C, D))  =>  (r1_xxreal_0(C, B) |  (v4_matrix_6(k2_matrtop3(D, A, B, C), D, k2_vectsp_1) & k1_matrix_6(D, k2_vectsp_1, k2_matrtop3(D, A, B, C))=k2_matrtop3(D, k4_xcmplx_0(A), B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_matrtop3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(E))) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(C, E))  =>  (r1_xxreal_0(C, B) |  (D=B |  (D=C | k1_funct_1(k3_funct_2(u1_struct_0(k15_euclid(E)), u1_struct_0(k15_euclid(E)), k3_matrtop1(E, E, k2_matrtop3(E, A, B, C)), F), D)=k1_funct_1(F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_matrtop3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(D))) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(C, D))  =>  (r1_xxreal_0(C, B) | k1_funct_1(k3_funct_2(u1_struct_0(k15_euclid(D)), u1_struct_0(k15_euclid(D)), k3_matrtop1(D, D, k2_matrtop3(D, A, B, C)), E), B)=k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(E, B), k19_sin_cos(A)), k3_xcmplx_0(k1_funct_1(E, C), k4_xcmplx_0(k17_sin_cos(A))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_matrtop3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(D))) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(C, D))  =>  (r1_xxreal_0(C, B) | k1_funct_1(k3_funct_2(u1_struct_0(k15_euclid(D)), u1_struct_0(k15_euclid(D)), k3_matrtop1(D, D, k2_matrtop3(D, A, B, C)), E), C)=k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(E, B), k17_sin_cos(A)), k3_xcmplx_0(k1_funct_1(E, C), k19_sin_cos(A)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_matrtop3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(D))) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(C, D))  =>  (r1_xxreal_0(C, B) | k3_funct_2(u1_struct_0(k15_euclid(D)), u1_struct_0(k15_euclid(D)), k3_matrtop1(D, D, k2_matrtop3(D, A, B, C)), E)=k7_finseq_1(k7_finseq_1(k7_finseq_1(k7_finseq_1(k16_finseq_1(k7_nat_d(B, 1), E), k9_finseq_1(k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(E, B), k19_sin_cos(A)), k3_xcmplx_0(k1_funct_1(E, C), k4_xcmplx_0(k17_sin_cos(A)))))), k16_finseq_1(k7_nat_d(k7_nat_d(C, B), 1), k1_rfinseq(B, E))), k9_finseq_1(k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(E, B), k17_sin_cos(A)), k3_xcmplx_0(k1_funct_1(E, C), k19_sin_cos(A))))), k1_rfinseq(C, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_matrtop3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(D))) =>  ~ ( (r1_xxreal_0(1, B) &  ( ~ (r1_xxreal_0(C, B))  &  (r1_xxreal_0(C, D) &  (r1_xxreal_0(k1_square_1(A), k2_xcmplx_0(k1_square_1(k1_funct_1(E, B)), k1_square_1(k1_funct_1(E, C)))) &  (! [F] :  (v1_xreal_0(F) =>  ~ (k1_funct_1(k3_funct_2(u1_struct_0(k15_euclid(D)), u1_struct_0(k15_euclid(D)), k3_matrtop1(D, D, k2_matrtop3(D, F, B, C)), E), B)=A) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_matrtop3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(D))) =>  ~ ( (r1_xxreal_0(1, B) &  ( ~ (r1_xxreal_0(C, B))  &  (r1_xxreal_0(C, D) &  (r1_xxreal_0(k1_square_1(A), k2_xcmplx_0(k1_square_1(k1_funct_1(E, B)), k1_square_1(k1_funct_1(E, C)))) &  (! [F] :  (v1_xreal_0(F) =>  ~ (k1_funct_1(k3_funct_2(u1_struct_0(k15_euclid(D)), u1_struct_0(k15_euclid(D)), k3_matrtop1(D, D, k2_matrtop3(D, F, B, C)), E), C)=A) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_matrtop3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(C, D))  =>  (r1_xxreal_0(C, B) | v1_matrtop3(k3_matrtop1(D, D, k2_matrtop3(D, A, B, C)), k4_matrix13(B, C))) ) ) ) ) ) ) ) ) ) ).
fof(d4_matrtop3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)))))) )  =>  (v2_matrtop3(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) => k12_euclid(C)=k12_euclid(k3_funct_2(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)), B, C))) ) ) ) ) ) ) ).
fof(t27_matrtop3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(A, k2_finseq_1(B)) => v2_matrtop3(k3_matrtop1(B, B, k1_matrtop3(B, A)), B)) ) ) ) ) ).
fof(d5_matrtop3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)))))) )  =>  (v3_matrtop3(B, A) <=>  (? [C] :  (m2_finseq_1(C, u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A))))) &  (B=k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))), C) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(D, k4_finseq_1(C)) &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( (r1_xxreal_0(1, E) &  ( ~ (r1_xxreal_0(F, E))  &  (r1_xxreal_0(F, A) & k1_funct_1(C, D)=k3_matrtop1(A, A, k2_matrtop3(A, G, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_matrtop3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(C, D))  =>  (r1_xxreal_0(C, B) | v3_matrtop3(k3_matrtop1(D, D, k2_matrtop3(D, A, B, C)), D)) ) ) ) ) ) ) ) ) ) ).
fof(d6_matrtop3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))) &  (v13_vectsp_1(B, k15_euclid(A), k15_euclid(A)) &  (v1_topreal9(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)))))) ) ) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(k2_vectsp_1), A, A) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (C=k3_matrtop3(A, B) <=> r2_funct_2(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)), B, k3_matrtop1(A, A, C))) ) ) ) ) ) ) ).
fof(t29_matrtop3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))) &  (v13_vectsp_1(B, k15_euclid(A), k15_euclid(A)) &  (v1_topreal9(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)))))) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))) &  (v13_vectsp_1(C, k15_euclid(A), k15_euclid(A)) &  (v1_topreal9(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)))))) ) ) )  => k3_matrtop3(A, k1_partfun1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)), C, B))=k4_matrix_3(k2_vectsp_1, k3_matrtop3(A, C), k3_matrtop3(A, B))) ) ) ) ) ) ).
fof(t30_matrtop3, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(C))) =>  ~ ( (r2_tarski(B, A) &  (r2_tarski(B, k2_finseq_1(C)) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k15_euclid(C)), u1_struct_0(k15_euclid(C))) &  (v13_vectsp_1(E, k15_euclid(C), k15_euclid(C)) &  (v1_topreal9(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(C)), u1_struct_0(k15_euclid(C)))))) ) ) )  =>  ~ ( (v1_matrtop3(E, A) &  (v3_matrtop3(E, C) &  ( ( ~ (r1_xxreal_0(k4_card_1(k9_subset_1(k4_ordinal1, A, k2_finseq_1(C))), 1))  => r1_xxreal_0(k5_numbers, k1_funct_1(k3_funct_2(u1_struct_0(k15_euclid(C)), u1_struct_0(k15_euclid(C)), E, D), B)))  &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k9_subset_1(k4_ordinal1, A, k2_finseq_1(C))) =>  (F=B | k1_funct_1(k3_funct_2(u1_struct_0(k15_euclid(C)), u1_struct_0(k15_euclid(C)), E, D), F)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_matrtop3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))) &  (v13_vectsp_1(B, k15_euclid(A), k15_euclid(A)) &  (v1_topreal9(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)))))) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (k2_partfun1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)), B, C)=k6_partfun1(C) => r1_funct_2(u1_struct_0(k1_rlvect_3(k15_euclid(A), C)), u1_struct_0(k15_euclid(A)), u1_struct_0(k1_rlvect_3(k15_euclid(A), C)), u1_struct_0(k1_rlvect_3(k15_euclid(A), C)), k2_tmap_1(k15_euclid(A), k15_euclid(A), B, k1_rlvect_3(k15_euclid(A), C)), k3_struct_0(k1_rlvect_3(k15_euclid(A), C)))) ) ) ) ) ) ) ).
fof(t32_matrtop3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))) &  (v13_vectsp_1(C, k15_euclid(A), k15_euclid(A)) &  (v1_topreal9(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)))))) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  ( (v2_matrtop3(C, A) & k2_partfun1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)), C, D)=k6_partfun1(D))  =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(E, k2_finseq_1(A)) & r1_struct_0(k1_rlvect_3(k15_euclid(A), D), k6_matrixr2(A, E)))  => k1_funct_1(k3_funct_2(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)), C, B), E)=k1_funct_1(B, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_matrtop3, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(B))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k15_euclid(B)), u1_struct_0(k15_euclid(B))) &  (v2_matrtop3(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(B)), u1_struct_0(k15_euclid(B)))))) ) )  =>  ( (v1_matrtop3(D, A) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k9_subset_1(k4_ordinal1, A, k2_finseq_1(B))) => k1_funct_1(C, E)=k5_numbers) ) ) )  => k3_funct_2(u1_struct_0(k15_euclid(B)), u1_struct_0(k15_euclid(B)), D, C)=C) ) ) ) ) ) ) ) ).
fof(t34_matrtop3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(B))) =>  ~ ( (r2_tarski(A, k2_finseq_1(B)) &  (r1_xxreal_0(2, B) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k15_euclid(B)), u1_struct_0(k15_euclid(B))) &  (v13_vectsp_1(D, k15_euclid(B), k15_euclid(B)) &  (v1_topreal9(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(B)), u1_struct_0(k15_euclid(B)))))) ) ) )  =>  ~ ( (v3_matrtop3(D, B) & k3_funct_2(u1_struct_0(k15_euclid(B)), u1_struct_0(k15_euclid(B)), D, C)=k1_funct_7(C, A, k4_xcmplx_0(k1_funct_1(C, A)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_matrtop3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k15_euclid(B)), u1_struct_0(k15_euclid(B))) &  (v13_vectsp_1(C, k15_euclid(B), k15_euclid(B)) &  (v1_topreal9(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(B)), u1_struct_0(k15_euclid(B)))))) ) ) )  =>  ~ ( (v1_matrtop3(C, k3_matrix13(A)) &  (v2_matrtop3(C, B) &  ( ~ (k3_matrtop3(B, C)=k1_matrtop3(B, A))  &  ~ (k3_matrtop3(B, C)=k3_matrix_1(k2_vectsp_1, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_matrtop3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))) &  (v13_vectsp_1(B, k15_euclid(A), k15_euclid(A)) &  (v1_topreal9(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)))))) ) ) )  =>  ~ ( (v2_matrtop3(B, A) &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))) &  (v13_vectsp_1(C, k15_euclid(A), k15_euclid(A)) &  (v1_topreal9(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)))))) ) ) )  =>  ~ ( (v3_matrtop3(C, A) & v1_matrtop3(k1_partfun1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)), B, C), k3_matrix13(A))) ) ) ) ) ) ) ) ) ) ).
fof(t37_matrtop3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))) &  (v13_vectsp_1(B, k15_euclid(A), k15_euclid(A)) &  (v1_topreal9(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)))))) ) ) )  =>  (v2_matrtop3(B, A) =>  (k12_matrix_3(A, k2_vectsp_1, k3_matrtop3(A, B))=k5_struct_0(k2_vectsp_1) <=> v3_matrtop3(B, A)) ) ) ) ) ) ).
fof(t38_matrtop3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))) &  (v13_vectsp_1(B, k15_euclid(A), k15_euclid(A)) &  (v1_topreal9(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)))))) ) ) )  =>  ~ ( (v2_matrtop3(B, A) &  ( ~ (k12_matrix_3(A, k2_vectsp_1, k3_matrtop3(A, B))=k5_struct_0(k2_vectsp_1))  &  ~ (k12_matrix_3(A, k2_vectsp_1, k3_matrtop3(A, B))=k4_algstr_0(k2_vectsp_1, k5_struct_0(k2_vectsp_1))) ) ) ) ) ) ) ) ).
fof(t39_matrtop3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k15_euclid(B)), u1_struct_0(k15_euclid(B))) &  (v13_vectsp_1(C, k15_euclid(B), k15_euclid(B)) &  (v1_topreal9(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(B)), u1_struct_0(k15_euclid(B)))))) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k15_euclid(B)), u1_struct_0(k15_euclid(B))) &  (v13_vectsp_1(D, k15_euclid(B), k15_euclid(B)) &  (v1_topreal9(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(B)), u1_struct_0(k15_euclid(B)))))) ) ) )  =>  ( (v2_matrtop3(C, B) &  (k12_matrix_3(B, k2_vectsp_1, k3_matrtop3(B, C))=k4_algstr_0(k2_vectsp_1, k5_struct_0(k2_vectsp_1)) &  (r2_tarski(A, k2_finseq_1(B)) & k3_matrtop3(B, D)=k1_matrtop3(B, A)) ) )  => v3_matrtop3(k1_partfun1(u1_struct_0(k15_euclid(B)), u1_struct_0(k15_euclid(B)), u1_struct_0(k15_euclid(B)), u1_struct_0(k15_euclid(B)), D, C), B)) ) ) ) ) ) ) ) ) ).
fof(t40_matrtop3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  ~ ( (A=1 &  (k12_euclid(B)=k12_euclid(C) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))) &  (v13_vectsp_1(D, k15_euclid(A), k15_euclid(A)) &  (v1_topreal9(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)))))) ) ) )  =>  ~ ( (v2_matrtop3(D, A) &  (k3_funct_2(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)), D, B)=C &  (k3_matrtop3(A, D)=k1_matrtop3(A, A) | k3_matrtop3(A, D)=k3_matrix_1(k2_vectsp_1, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_matrtop3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  ~ ( ( ~ (A=1)  &  (k12_euclid(B)=k12_euclid(C) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))) &  (v13_vectsp_1(D, k15_euclid(A), k15_euclid(A)) &  (v1_topreal9(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)))))) ) ) )  =>  ~ ( (v3_matrtop3(D, A) & k3_funct_2(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)), D, B)=C) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_matrtop3, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  =>  (v1_matrix_0(k1_matrtop3(A, B)) &  (v2_matrix_0(k1_matrtop3(A, B), u1_struct_0(k2_vectsp_1), A, A) &  (v1_matrix_6(k1_matrtop3(A, B), A, k2_vectsp_1) & m2_finseq_1(k1_matrtop3(A, B), k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) ) ) ) ).
fof(dt_k2_matrtop3, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v1_xreal_0(B) &  (v7_ordinal1(C) & v7_ordinal1(D)) ) )  =>  (v1_matrix_0(k2_matrtop3(A, B, C, D)) &  (v2_matrix_0(k2_matrtop3(A, B, C, D), u1_struct_0(k2_vectsp_1), A, A) &  (v1_matrix_6(k2_matrtop3(A, B, C, D), A, k2_vectsp_1) & m2_finseq_1(k2_matrtop3(A, B, C, D), k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) ) ) ) ).
fof(dt_k3_matrtop3, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))) &  (v13_vectsp_1(B, k15_euclid(A), k15_euclid(A)) &  (v1_topreal9(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)))))) ) ) ) )  =>  (v1_matrix_0(k3_matrtop3(A, B)) &  (v2_matrix_0(k3_matrtop3(A, B), u1_struct_0(k2_vectsp_1), A, A) & m2_finseq_1(k3_matrtop3(A, B), k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) ) ) ).
fof(fc1_mazurulm, axiom, v1_borsuk_1(k17_borsuk_1, k3_topmetr)).
fof(fc2_mazurulm, axiom,  (! [A, B] :  ( ( (v3_membered(A) & v4_xxreal_2(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v4_xxreal_2(k23_member_1(A, B))) ) ).
fof(fc3_mazurulm, axiom,  (! [A, B] :  ( ( (v3_membered(A) & v4_xxreal_2(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_2(k23_member_1(A, B))) ) ).
fof(fc4_mazurulm, axiom,  (! [A, B] :  ( ( (v3_membered(A) & v3_xxreal_2(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_2(k23_member_1(A, B))) ) ).
fof(fc5_mazurulm, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v3_membered(A) & v3_xxreal_2(A)) )  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v4_xxreal_2(k23_member_1(A, B))) ) ).
fof(fc6_mazurulm, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_comseq_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  & v1_xreal_0(B))  =>  (v1_funct_1(k7_valued_1(A, B)) &  (v1_funct_2(k7_valued_1(A, B), k4_ordinal1, k1_numbers) & v2_comseq_2(k7_valued_1(A, B))) ) ) ) ).
fof(fc7_mazurulm, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v2_comseq_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(C, u1_struct_0(B))) )  =>  (v1_funct_1(k2_ndiff_1(B, C, A)) &  (v1_funct_2(k2_ndiff_1(B, C, A), k4_ordinal1, u1_struct_0(B)) & v3_normsp_1(k2_ndiff_1(B, C, A), B)) ) ) ) ).
fof(fc8_mazurulm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_normsp_1(A))  =>  (v1_funct_1(k3_struct_0(A)) &  (v1_funct_2(k3_struct_0(A), u1_struct_0(A), u1_struct_0(A)) & v1_mazurulm(k3_struct_0(A), A, A)) ) ) ) ).
fof(fc9_mazurulm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (v1_funct_1(k3_struct_0(A)) &  (v1_funct_2(k3_struct_0(A), u1_struct_0(A), u1_struct_0(A)) &  (v2_mazurulm(k3_struct_0(A), A, A) & v3_mazurulm(k3_struct_0(A), A, A)) ) ) ) ) ).
fof(rc1_mazurulm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_normsp_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v3_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v1_mazurulm(B, A, A) &  (v2_mazurulm(B, A, A) & v3_mazurulm(B, A, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc10_mazurulm, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v1_mazurulm(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(A)) &  (v1_mazurulm(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k3_relat_1(B, C)) &  (v1_funct_2(k3_relat_1(B, C), u1_struct_0(A), u1_struct_0(A)) & v1_mazurulm(k3_relat_1(B, C), A, A)) ) ) ) ).
fof(fc11_mazurulm, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v3_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v1_mazurulm(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k2_tops_2(u1_struct_0(A), u1_struct_0(A), B)) &  (v1_funct_2(k2_tops_2(u1_struct_0(A), u1_struct_0(A), B), u1_struct_0(A), u1_struct_0(A)) & v1_mazurulm(k2_tops_2(u1_struct_0(A), u1_struct_0(A), B), A, A)) ) ) ) ).
fof(fc12_mazurulm, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v3_mazurulm(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(A)) &  (v3_mazurulm(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k3_relat_1(B, C)) &  (v1_funct_2(k3_relat_1(B, C), u1_struct_0(A), u1_struct_0(A)) & v3_mazurulm(k3_relat_1(B, C), A, A)) ) ) ) ).
fof(fc13_mazurulm, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v3_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v3_mazurulm(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k2_tops_2(u1_struct_0(A), u1_struct_0(A), B)) &  (v1_funct_2(k2_tops_2(u1_struct_0(A), u1_struct_0(A), B), u1_struct_0(A), u1_struct_0(A)) & v3_mazurulm(k2_tops_2(u1_struct_0(A), u1_struct_0(A), B), A, A)) ) ) ) ).
fof(fc14_mazurulm, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v2_mazurulm(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(A)) &  (v2_mazurulm(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k3_relat_1(B, C)) &  (v1_funct_2(k3_relat_1(B, C), u1_struct_0(A), u1_struct_0(A)) & v2_mazurulm(k3_relat_1(B, C), A, A)) ) ) ) ).
fof(fc15_mazurulm, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v3_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v2_mazurulm(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k2_tops_2(u1_struct_0(A), u1_struct_0(A), B)) &  (v1_funct_2(k2_tops_2(u1_struct_0(A), u1_struct_0(A), B), u1_struct_0(A), u1_struct_0(A)) & v2_mazurulm(k2_tops_2(u1_struct_0(A), u1_struct_0(A), B), A, A)) ) ) ) ).
fof(fc16_mazurulm, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k1_mazurulm(A, B)) &  (v1_funct_2(k1_mazurulm(A, B), u1_struct_0(A), u1_struct_0(A)) & v3_funct_2(k1_mazurulm(A, B), u1_struct_0(A), u1_struct_0(A))) ) ) ) ).
fof(fc17_mazurulm, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k1_mazurulm(A, B)) &  (v1_funct_2(k1_mazurulm(A, B), u1_struct_0(A), u1_struct_0(A)) & v1_mazurulm(k1_mazurulm(A, B), A, A)) ) ) ) ).
fof(cc1_mazurulm, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) =>  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v3_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v1_mazurulm(C, A, B)) ) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v3_mazurulm(C, A, B)) ) ) ) ) ) ) ).
fof(cc2_mazurulm, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) =>  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_mazurulm(C, A, B) & v3_mazurulm(C, A, B)) ) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v2_mazurulm(C, A, B)) ) ) ) ) ) ) ).
fof(t1_mazurulm, axiom,  (v1_tops_1(k2_urysohn1, k5_topmetr) & m1_subset_1(k2_urysohn1, k1_zfmisc_1(u1_struct_0(k5_topmetr)))) ).
fof(t2_mazurulm, axiom, k5_measure6(k2_urysohn1)=k1_xxreal_1(k5_numbers, 1)).
fof(t3_mazurulm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k3_rlvect_1(A, B, B)=k1_rlvect_1(A, B, 2)) ) ) ) ).
fof(t4_mazurulm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k5_algstr_0(A, k3_rlvect_1(A, B, C), C)=B) ) ) ) ) ) ).
fof(t5_mazurulm, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  => r2_funct_2(k4_ordinal1, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_tarski(A), B, k7_funcop_1(k4_ordinal1, A)), k9_valued_1(k4_ordinal1, k1_numbers, B, A))) ) ) ) ).
fof(t6_mazurulm, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) => k1_seq_2(k8_funcop_1(k1_numbers, k4_ordinal1, A))=A) ) ).
fof(t7_mazurulm, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v2_comseq_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  => k1_seq_2(k9_valued_1(k4_ordinal1, k1_numbers, B, A))=k1_xxreal_3(A, k1_seq_2(B))) ) ) ) ).
fof(t8_mazurulm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k1_ndiff_1(A, k8_funcop_1(u1_struct_0(A), k4_ordinal1, B), C), k2_ndiff_1(A, B, C))) ) ) ) ) ) ).
fof(t9_mazurulm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_normsp_1(A, k8_funcop_1(u1_struct_0(A), k4_ordinal1, B))=B) ) ) ) ).
fof(t10_mazurulm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) &  (v2_comseq_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  => k5_normsp_1(A, k2_ndiff_1(A, B, C))=k1_rlvect_1(A, B, k1_seq_2(C))) ) ) ) ) ) ).
fof(d1_mazurulm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_normsp_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_normsp_1(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v1_mazurulm(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k2_normsp_0(B, k5_algstr_0(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D), k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, E)))=k2_normsp_0(A, k5_algstr_0(A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_mazurulm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_rlvect_1(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v2_mazurulm(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (v1_xreal_0(F) =>  ( (r1_xxreal_0(k5_numbers, F) & r1_xxreal_0(F, 1))  => k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k1_algstr_0(A, k1_rlvect_1(A, D, k3_xxreal_3(1, F)), k1_rlvect_1(A, E, F)))=k1_algstr_0(B, k1_rlvect_1(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D), k3_xxreal_3(1, F)), k1_rlvect_1(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, E), F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_mazurulm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_rlvect_1(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v3_mazurulm(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k1_rlvect_1(A, k1_algstr_0(A, D, E), k6_xxreal_3(1, 2)))=k1_rlvect_1(B, k1_algstr_0(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D), k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, E)), k6_xxreal_3(1, 2))) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_mazurulm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  ( (v1_mazurulm(D, A, B) & v1_mazurulm(E, B, C))  => v1_mazurulm(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), A, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_mazurulm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ( (v3_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v1_mazurulm(C, A, B))  => v1_mazurulm(k2_tops_2(u1_struct_0(A), u1_struct_0(B), C), B, A)) ) ) ) ) ) ) ).
fof(t13_mazurulm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  ( (v3_mazurulm(D, A, B) & v3_mazurulm(E, B, C))  => v3_mazurulm(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), A, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_mazurulm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ( (v3_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v3_mazurulm(C, A, B))  => v3_mazurulm(k2_tops_2(u1_struct_0(A), u1_struct_0(B), C), B, A)) ) ) ) ) ) ) ).
fof(t15_mazurulm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  ( (v2_mazurulm(D, A, B) & v2_mazurulm(E, B, C))  => v2_mazurulm(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), A, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_mazurulm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ( (v3_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v2_mazurulm(C, A, B))  => v2_mazurulm(k2_tops_2(u1_struct_0(A), u1_struct_0(B), C), B, A)) ) ) ) ) ) ) ).
fof(d4_mazurulm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (C=k1_mazurulm(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(A), C, D)=k5_algstr_0(A, k1_rlvect_1(A, B, 2), D)) ) ) ) ) ) ) ) ) ).
fof(t17_mazurulm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r2_funct_2(u1_struct_0(A), u1_struct_0(A), k1_partfun1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), k1_mazurulm(A, B), k1_mazurulm(A, B)), k3_struct_0(A))) ) ) ) ).
fof(t18_mazurulm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k3_funct_2(u1_struct_0(A), u1_struct_0(A), k1_mazurulm(A, B), B)=B &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k3_funct_2(u1_struct_0(A), u1_struct_0(A), k1_mazurulm(A, B), C)=C => B=C) ) ) ) ) ) ) ) ).
fof(t19_mazurulm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k5_algstr_0(A, k3_funct_2(u1_struct_0(A), u1_struct_0(A), k1_mazurulm(A, B), C), B)=k5_algstr_0(A, B, C)) ) ) ) ) ) ).
fof(t20_mazurulm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_normsp_0(A, k5_algstr_0(A, k3_funct_2(u1_struct_0(A), u1_struct_0(A), k1_mazurulm(A, B), C), B))=k2_normsp_0(A, k5_algstr_0(A, C, B))) ) ) ) ) ) ).
fof(t21_mazurulm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k5_algstr_0(A, k3_funct_2(u1_struct_0(A), u1_struct_0(A), k1_mazurulm(A, B), C), C)=k1_rlvect_1(A, k5_algstr_0(A, B, C), 2)) ) ) ) ) ) ).
fof(t22_mazurulm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_normsp_0(A, k5_algstr_0(A, k3_funct_2(u1_struct_0(A), u1_struct_0(A), k1_mazurulm(A, B), C), C))=k4_xxreal_3(2, k2_normsp_0(A, k5_algstr_0(A, C, B)))) ) ) ) ) ) ).
fof(t23_mazurulm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r2_funct_2(u1_struct_0(A), u1_struct_0(A), k2_tops_2(u1_struct_0(A), u1_struct_0(A), k1_mazurulm(A, B)), k1_mazurulm(A, B))) ) ) ) ).
fof(t24_mazurulm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v1_mazurulm(C, A, B) => r3_nfcont_1(A, B, C, k1_relset_1(u1_struct_0(A), C))) ) ) ) ) ) ) ).
fof(dt_k1_mazurulm, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k1_mazurulm(A, B)) &  (v1_funct_2(k1_mazurulm(A, B), u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(k1_mazurulm(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ).
fof(fc1_mboolean, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v1_relat_1(k1_mboolean(A, B)) &  (v2_relat_1(k1_mboolean(A, B)) &  (v4_relat_1(k1_mboolean(A, B), A) &  (v1_funct_1(k1_mboolean(A, B)) & v1_partfun1(k1_mboolean(A, B), A)) ) ) ) ) ) ).
fof(fc2_mboolean, axiom,  (! [A] :  (v1_relat_1(k2_mboolean(A, k1_pboole(A))) &  (v3_relat_1(k2_mboolean(A, k1_pboole(A))) &  (v4_relat_1(k2_mboolean(A, k1_pboole(A)), A) &  (v1_funct_1(k2_mboolean(A, k1_pboole(A))) & v1_partfun1(k2_mboolean(A, k1_pboole(A)), A)) ) ) ) ) ).
fof(d1_mboolean, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (C=k1_mboolean(A, B) <=>  (! [D] :  (r2_hidden(D, A) => k1_funct_1(C, D)=k1_zfmisc_1(k1_funct_1(B, D))) ) ) ) ) ) ) ) ).
fof(t1_mboolean, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r6_pboole(A, B, k1_mboolean(A, C)) <=>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r1_pboole(A, D, B) <=> r2_pboole(A, D, C)) ) ) ) ) ) ) ) ) ).
fof(t2_mboolean, axiom,  (! [A] : r6_pboole(A, k1_mboolean(A, k1_pboole(A)), k7_funcop_1(A, k1_tarski(k1_xboole_0)))) ).
fof(t3_mboolean, axiom,  (! [A] :  (! [B] : r6_pboole(A, k1_mboolean(A, k7_funcop_1(A, B)), k7_funcop_1(A, k1_zfmisc_1(B)))) ) ).
fof(t4_mboolean, axiom,  (! [A] :  (! [B] : r6_pboole(B, k1_mboolean(B, k7_funcop_1(B, k1_tarski(A))), k7_funcop_1(B, k2_tarski(k1_xboole_0, k1_tarski(A))))) ) ).
fof(t5_mboolean, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => r2_pboole(A, k1_pboole(A), B)) ) ) ).
fof(t6_mboolean, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r2_pboole(A, B, C) => r2_pboole(A, k1_mboolean(A, B), k1_mboolean(A, C))) ) ) ) ) ) ).
fof(t7_mboolean, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r2_pboole(A, k2_pboole(A, k1_mboolean(A, B), k1_mboolean(A, C)), k1_mboolean(A, k2_pboole(A, B, C)))) ) ) ) ) ).
fof(t8_mboolean, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r6_pboole(A, k2_pboole(A, k1_mboolean(A, B), k1_mboolean(A, C)), k1_mboolean(A, k2_pboole(A, B, C))) =>  (! [D] :  (r2_tarski(D, A) => r3_xboole_0(k1_funct_1(B, D), k1_funct_1(C, D))) ) ) ) ) ) ) ) ).
fof(t9_mboolean, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r6_pboole(A, k1_mboolean(A, k3_pboole(A, B, C)), k3_pboole(A, k1_mboolean(A, B), k1_mboolean(A, C)))) ) ) ) ) ).
fof(t10_mboolean, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r2_pboole(A, k1_mboolean(A, k4_pboole(A, B, C)), k2_pboole(A, k7_funcop_1(A, k1_tarski(k1_xboole_0)), k4_pboole(A, k1_mboolean(A, B), k1_mboolean(A, C))))) ) ) ) ) ).
fof(t11_mboolean, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r2_pboole(A, D, k4_pboole(A, B, C)) <=>  (r2_pboole(A, D, B) & r5_pboole(A, D, C)) ) ) ) ) ) ) ) ) ).
fof(t12_mboolean, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r2_pboole(A, k2_pboole(A, k1_mboolean(A, k4_pboole(A, B, C)), k1_mboolean(A, k4_pboole(A, C, B))), k1_mboolean(A, k5_pboole(A, B, C)))) ) ) ) ) ).
fof(t13_mboolean, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r2_pboole(A, D, k5_pboole(A, B, C)) <=>  (r2_pboole(A, D, k2_pboole(A, B, C)) & r5_pboole(A, D, k3_pboole(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t14_mboolean, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ( (r2_pboole(A, C, B) | r2_pboole(A, D, B))  => r2_pboole(A, k3_pboole(A, C, D), B)) ) ) ) ) ) ) ) ).
fof(t15_mboolean, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r2_pboole(A, C, B) => r2_pboole(A, k4_pboole(A, C, D), B)) ) ) ) ) ) ) ) ).
fof(t16_mboolean, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ( (r2_pboole(A, C, B) & r2_pboole(A, D, B))  => r2_pboole(A, k5_pboole(A, C, D), B)) ) ) ) ) ) ) ) ).
fof(t17_mboolean, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r2_pboole(A, k6_pboole(A, B, C), k1_mboolean(A, k1_mboolean(A, k2_pboole(A, B, C))))) ) ) ) ) ).
fof(t18_mboolean, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r2_pboole(A, C, B) <=> r1_pboole(A, C, k1_mboolean(A, B))) ) ) ) ) ) ).
fof(t19_mboolean, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r2_pboole(A, k7_pboole(A, B, C), k1_mboolean(A, k6_pboole(A, B, C)))) ) ) ) ) ).
fof(d2_mboolean, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (C=k2_mboolean(A, B) <=>  (! [D] :  (r2_hidden(D, A) => k1_funct_1(C, D)=k3_tarski(k1_funct_1(B, D))) ) ) ) ) ) ) ) ).
fof(t20_mboolean, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r1_pboole(A, B, k2_mboolean(A, C)) <=>  (? [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  &  (r1_pboole(A, B, D) & r1_pboole(A, D, C)) ) ) ) ) ) ) ) ) ).
fof(t21_mboolean, axiom,  (! [A] : r6_pboole(A, k2_mboolean(A, k1_pboole(A)), k1_pboole(A))) ).
fof(t22_mboolean, axiom,  (! [A] :  (! [B] : r6_pboole(A, k2_mboolean(A, k7_funcop_1(A, B)), k7_funcop_1(A, k3_tarski(B)))) ) ).
fof(t23_mboolean, axiom,  (! [A] :  (! [B] : r6_pboole(B, k2_mboolean(B, k7_funcop_1(B, k1_tarski(A))), k7_funcop_1(B, A))) ) ).
fof(t24_mboolean, axiom,  (! [A] :  (! [B] :  (! [C] : r6_pboole(C, k2_mboolean(C, k7_funcop_1(C, k2_tarski(k1_tarski(A), k1_tarski(B)))), k7_funcop_1(C, k2_tarski(A, B)))) ) ) ).
fof(t25_mboolean, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r1_pboole(A, C, B) => r2_pboole(A, C, k2_mboolean(A, B))) ) ) ) ) ) ).
fof(t26_mboolean, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r2_pboole(A, B, C) => r2_pboole(A, k2_mboolean(A, B), k2_mboolean(A, C))) ) ) ) ) ) ).
fof(t27_mboolean, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r6_pboole(A, k2_mboolean(A, k2_pboole(A, B, C)), k2_pboole(A, k2_mboolean(A, B), k2_mboolean(A, C)))) ) ) ) ) ).
fof(t28_mboolean, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r2_pboole(A, k2_mboolean(A, k3_pboole(A, B, C)), k3_pboole(A, k2_mboolean(A, B), k2_mboolean(A, C)))) ) ) ) ) ).
fof(t29_mboolean, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => r6_pboole(A, k2_mboolean(A, k1_mboolean(A, B)), B)) ) ) ).
fof(t30_mboolean, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => r2_pboole(A, B, k1_mboolean(A, k2_mboolean(A, B)))) ) ) ).
fof(t31_mboolean, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ( (r2_pboole(A, k2_mboolean(A, D), B) & r1_pboole(A, C, D))  => r2_pboole(A, C, B)) ) ) ) ) ) ) ) ).
fof(t32_mboolean, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  ( (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r1_pboole(A, D, C) => r2_pboole(A, D, B)) ) )  => r2_pboole(A, k2_mboolean(A, C), B)) ) ) ) ) ) ).
fof(t33_mboolean, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  ( (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r1_pboole(A, D, C) => r6_pboole(A, k3_pboole(A, D, B), k1_pboole(A))) ) )  => r6_pboole(A, k3_pboole(A, k2_mboolean(A, C), B), k1_pboole(A))) ) ) ) ) ) ).
fof(t34_mboolean, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  ( (v2_relat_1(k2_pboole(A, B, C)) &  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) )  =>  ( (r1_pboole(A, D, k2_pboole(A, B, C)) & r1_pboole(A, E, k2_pboole(A, B, C)))  =>  (D=E | r6_pboole(A, k3_pboole(A, D, E), k1_pboole(A))) ) ) ) ) ) )  => r6_pboole(A, k2_mboolean(A, k3_pboole(A, B, C)), k3_pboole(A, k2_mboolean(A, B), k2_mboolean(A, C)))) ) ) ) ) ) ).
fof(t35_mboolean, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) ) )  =>  ( (r2_pboole(A, C, k2_mboolean(A, k2_pboole(A, B, D))) &  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) )  =>  (r1_pboole(A, E, D) => r6_pboole(A, k3_pboole(A, E, C), k1_pboole(A))) ) ) )  => r2_pboole(A, C, k2_mboolean(A, B))) ) ) ) ) ) ) ) ).
fof(t36_mboolean, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v2_finset_1(B)) ) ) ) )  =>  ( (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ~ ( (r1_pboole(A, C, B) &  (r1_pboole(A, D, B) &  ( ~ (r2_pboole(A, C, D))  &  ~ (r2_pboole(A, D, C)) ) ) ) ) ) ) ) )  => r1_pboole(A, k2_mboolean(A, B), B)) ) ) ) ).
fof(dt_k1_mboolean, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v1_relat_1(k1_mboolean(A, B)) &  (v4_relat_1(k1_mboolean(A, B), A) &  (v1_funct_1(k1_mboolean(A, B)) & v1_partfun1(k1_mboolean(A, B), A)) ) ) ) ) ).
fof(dt_k2_mboolean, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v1_relat_1(k2_mboolean(A, B)) &  (v4_relat_1(k2_mboolean(A, B), A) &  (v1_funct_1(k2_mboolean(A, B)) & v1_partfun1(k2_mboolean(A, B), A)) ) ) ) ) ).
fof(cc1_mcart_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(A, B)) => v1_xtuple_0(C)) ) ) ) ).
fof(cc2_mcart_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ~ (v1_xboole_0(C)) ) )  =>  (! [D] :  (m1_subset_1(D, k3_zfmisc_1(A, B, C)) => v2_xtuple_0(D)) ) ) ) ).
fof(cc3_mcart_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ~ (v1_xboole_0(D)) ) ) )  =>  (! [E] :  (m1_subset_1(E, k4_zfmisc_1(A, B, C, D)) => v3_xtuple_0(E)) ) ) ) ).
fof(t9_mcart_1, axiom,  (! [A] :  ~ ( ( ~ (A=k1_xboole_0)  &  (! [B] :  ~ ( (r2_hidden(B, A) &  (! [C] :  (! [D] :  ~ ( ( (r2_hidden(C, A) | r2_hidden(D, A))  & B=k4_tarski(C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t10_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_hidden(A, k2_zfmisc_1(B, C)) =>  (r2_hidden(k1_xtuple_0(A), B) & r2_hidden(k2_xtuple_0(A), C)) ) ) ) ) ).
fof(t12_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_hidden(B, k2_zfmisc_1(k1_tarski(A), C)) =>  (k1_xtuple_0(B)=A & r2_hidden(k2_xtuple_0(B), C)) ) ) ) ) ).
fof(t13_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_hidden(B, k2_zfmisc_1(C, k1_tarski(A))) =>  (r2_hidden(k1_xtuple_0(B), C) & k2_xtuple_0(B)=A) ) ) ) ) ).
fof(t14_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_hidden(C, k2_zfmisc_1(k1_tarski(A), k1_tarski(B))) =>  (k1_xtuple_0(C)=A & k2_xtuple_0(C)=B) ) ) ) ) ).
fof(t15_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (r2_hidden(C, k2_zfmisc_1(k2_tarski(A, B), D)) =>  ( (k1_xtuple_0(C)=A | k1_xtuple_0(C)=B)  & r2_hidden(k2_xtuple_0(C), D)) ) ) ) ) ) ).
fof(t16_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (r2_hidden(C, k2_zfmisc_1(D, k2_tarski(A, B))) =>  (r2_hidden(k1_xtuple_0(C), D) &  (k2_xtuple_0(C)=A | k2_xtuple_0(C)=B) ) ) ) ) ) ) ).
fof(t17_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (r2_hidden(D, k2_zfmisc_1(k2_tarski(A, B), k1_tarski(C))) =>  ( (k1_xtuple_0(D)=A | k1_xtuple_0(D)=B)  & k2_xtuple_0(D)=C) ) ) ) ) ) ).
fof(t18_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (r2_hidden(D, k2_zfmisc_1(k1_tarski(A), k2_tarski(B, C))) =>  (k1_xtuple_0(D)=A &  (k2_xtuple_0(D)=B | k2_xtuple_0(D)=C) ) ) ) ) ) ) ).
fof(t19_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (r2_hidden(E, k2_zfmisc_1(k2_tarski(A, B), k2_tarski(C, D))) =>  ( (k1_xtuple_0(E)=A | k1_xtuple_0(E)=B)  &  (k2_xtuple_0(E)=C | k2_xtuple_0(E)=D) ) ) ) ) ) ) ) ).
fof(t20_mcart_1, axiom,  (! [A] :  ( (? [B] :  (? [C] : A=k4_tarski(B, C)) )  =>  ( ~ (A=k1_xtuple_0(A))  &  ~ (A=k2_xtuple_0(A)) ) ) ) ).
fof(t21_mcart_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (r2_hidden(A, B) => A=k4_tarski(k1_xtuple_0(A), k2_xtuple_0(A))) ) ) ) ).
fof(t22_mcart_1, axiom,  (! [A] :  (! [B] :  ~ ( ( ~ (A=k1_xboole_0)  &  ( ~ (B=k1_xboole_0)  &  ~ ( (! [C] :  (m1_subset_1(C, k2_zfmisc_1(A, B)) => C=k4_tarski(k1_xtuple_0(C), k2_xtuple_0(C))) ) ) ) ) ) ) ) ).
fof(t23_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k2_zfmisc_1(k2_tarski(A, B), k2_tarski(C, D))=k2_enumset1(k4_tarski(A, C), k4_tarski(A, D), k4_tarski(B, C), k4_tarski(B, D))) ) ) ) ).
fof(t24_mcart_1, axiom,  (! [A] :  (! [B] :  ~ ( ( ~ (A=k1_xboole_0)  &  ( ~ (B=k1_xboole_0)  &  ~ ( (! [C] :  (m1_subset_1(C, k2_zfmisc_1(A, B)) =>  ( ~ (C=k1_xtuple_0(C))  &  ~ (C=k2_xtuple_0(C)) ) ) ) ) ) ) ) ) ) ).
fof(t26_mcart_1, axiom,  (! [A] :  ~ ( ( ~ (A=k1_xboole_0)  &  (! [B] :  ~ ( (r2_hidden(B, A) &  (! [C] :  (! [D] :  (! [E] :  ~ ( ( (r2_hidden(C, A) | r2_hidden(D, A))  & B=k3_xtuple_0(C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_mcart_1, axiom,  (! [A] :  ~ ( ( ~ (A=k1_xboole_0)  &  (! [B] :  ~ ( (r2_hidden(B, A) &  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ~ ( ( (r2_hidden(C, A) | r2_hidden(D, A))  & B=k6_xtuple_0(C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (A=k1_xboole_0)  &  ( ~ (B=k1_xboole_0)  &  ~ (C=k1_xboole_0) ) )  <=>  ~ (k3_zfmisc_1(A, B, C)=k1_xboole_0) ) ) ) ) ).
fof(t32_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (k3_zfmisc_1(A, B, C)=k3_zfmisc_1(D, E, F) =>  (A=k1_xboole_0 |  (B=k1_xboole_0 |  (C=k1_xboole_0 |  (A=D &  (B=E & C=F) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (k3_zfmisc_1(A, B, C)=k3_zfmisc_1(D, E, F) =>  (k3_zfmisc_1(A, B, C)=k1_xboole_0 |  (A=D &  (B=E & C=F) ) ) ) ) ) ) ) ) ) ).
fof(t34_mcart_1, axiom,  (! [A] :  (! [B] :  (k3_zfmisc_1(A, A, A)=k3_zfmisc_1(B, B, B) => A=B) ) ) ).
fof(t35_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] : k3_zfmisc_1(k1_tarski(A), k1_tarski(B), k1_tarski(C))=k1_tarski(k3_xtuple_0(A, B, C))) ) ) ).
fof(t36_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k3_zfmisc_1(k2_tarski(A, D), k1_tarski(B), k1_tarski(C))=k2_tarski(k3_xtuple_0(A, B, C), k3_xtuple_0(D, B, C))) ) ) ) ).
fof(t37_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k3_zfmisc_1(k1_tarski(A), k2_tarski(B, D), k1_tarski(C))=k2_tarski(k3_xtuple_0(A, B, C), k3_xtuple_0(A, D, C))) ) ) ) ).
fof(t38_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k3_zfmisc_1(k1_tarski(A), k1_tarski(B), k2_tarski(C, D))=k2_tarski(k3_xtuple_0(A, B, C), k3_xtuple_0(A, B, D))) ) ) ) ).
fof(t39_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k3_zfmisc_1(k2_tarski(A, D), k2_tarski(B, E), k1_tarski(C))=k2_enumset1(k3_xtuple_0(A, B, C), k3_xtuple_0(D, B, C), k3_xtuple_0(A, E, C), k3_xtuple_0(D, E, C))) ) ) ) ) ).
fof(t40_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k3_zfmisc_1(k2_tarski(A, D), k1_tarski(B), k2_tarski(C, E))=k2_enumset1(k3_xtuple_0(A, B, C), k3_xtuple_0(D, B, C), k3_xtuple_0(A, B, E), k3_xtuple_0(D, B, E))) ) ) ) ) ).
fof(t41_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k3_zfmisc_1(k1_tarski(A), k2_tarski(B, D), k2_tarski(C, E))=k2_enumset1(k3_xtuple_0(A, B, C), k3_xtuple_0(A, D, C), k3_xtuple_0(A, B, E), k3_xtuple_0(A, D, E))) ) ) ) ) ).
fof(t42_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] : k3_zfmisc_1(k2_tarski(A, D), k2_tarski(B, E), k2_tarski(C, F))=k6_enumset1(k3_xtuple_0(A, B, C), k3_xtuple_0(A, E, C), k3_xtuple_0(A, B, F), k3_xtuple_0(A, E, F), k3_xtuple_0(D, B, C), k3_xtuple_0(D, E, C), k3_xtuple_0(D, B, F), k3_xtuple_0(D, E, F))) ) ) ) ) ) ).
fof(d5_mcart_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k3_zfmisc_1(A, B, C)) =>  (! [E] :  (m1_subset_1(E, A) =>  (E=k1_mcart_1(A, B, C, D) <=>  (! [F] :  (! [G] :  (! [H] :  (D=k3_xtuple_0(F, G, H) => E=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_mcart_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k3_zfmisc_1(A, B, C)) =>  (! [E] :  (m1_subset_1(E, B) =>  (E=k2_mcart_1(A, B, C, D) <=>  (! [F] :  (! [G] :  (! [H] :  (D=k3_xtuple_0(F, G, H) => E=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_mcart_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k3_zfmisc_1(A, B, C)) =>  (! [E] :  (m1_subset_1(E, C) =>  (E=k3_mcart_1(A, B, C, D) <=>  (! [F] :  (! [G] :  (! [H] :  (D=k3_xtuple_0(F, G, H) => E=H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ ( ( ~ (r1_tarski(A, k3_zfmisc_1(A, B, C)))  &  ( ~ (r1_tarski(A, k3_zfmisc_1(B, C, A)))  &  ~ (r1_tarski(A, k3_zfmisc_1(C, A, B))) ) ) )  => A=k1_xboole_0) ) ) ) ).
fof(t47_mcart_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k3_zfmisc_1(A, B, C)) =>  ( ~ (D=k1_mcart_1(A, B, C, D))  &  ( ~ (D=k2_mcart_1(A, B, C, D))  &  ~ (D=k3_mcart_1(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( ~ (r1_xboole_0(k3_zfmisc_1(A, B, C), k3_zfmisc_1(D, E, F)))  =>  ( ~ (r1_xboole_0(A, D))  &  ( ~ (r1_xboole_0(B, E))  &  ~ (r1_xboole_0(C, F)) ) ) ) ) ) ) ) ) ) ).
fof(t49_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k4_zfmisc_1(A, B, C, D)=k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C), D)) ) ) ) ).
fof(t50_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k3_zfmisc_1(k2_zfmisc_1(A, B), C, D)=k4_zfmisc_1(A, B, C, D)) ) ) ) ).
fof(t51_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ( ~ (A=k1_xboole_0)  &  ( ~ (B=k1_xboole_0)  &  ( ~ (C=k1_xboole_0)  &  ~ (D=k1_xboole_0) ) ) )  <=>  ~ (k4_zfmisc_1(A, B, C, D)=k1_xboole_0) ) ) ) ) ) ).
fof(t52_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (k4_zfmisc_1(A, B, C, D)=k4_zfmisc_1(E, F, G, H) =>  (A=k1_xboole_0 |  (B=k1_xboole_0 |  (C=k1_xboole_0 |  (D=k1_xboole_0 |  (A=E &  (B=F &  (C=G & D=H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (k4_zfmisc_1(A, B, C, D)=k4_zfmisc_1(E, F, G, H) =>  (k4_zfmisc_1(A, B, C, D)=k1_xboole_0 |  (A=E &  (B=F &  (C=G & D=H) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_mcart_1, axiom,  (! [A] :  (! [B] :  (k4_zfmisc_1(A, A, A, A)=k4_zfmisc_1(B, B, B, B) => A=B) ) ) ).
fof(d8_mcart_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_subset_1(E, k4_zfmisc_1(A, B, C, D)) =>  (! [F] :  (m1_subset_1(F, A) =>  (F=k4_mcart_1(A, B, C, D, E) <=>  (! [G] :  (! [H] :  (! [I] :  (! [J] :  (E=k6_xtuple_0(G, H, I, J) => F=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_mcart_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_subset_1(E, k4_zfmisc_1(A, B, C, D)) =>  (! [F] :  (m1_subset_1(F, B) =>  (F=k5_mcart_1(A, B, C, D, E) <=>  (! [G] :  (! [H] :  (! [I] :  (! [J] :  (E=k6_xtuple_0(G, H, I, J) => F=H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_mcart_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_subset_1(E, k4_zfmisc_1(A, B, C, D)) =>  (! [F] :  (m1_subset_1(F, C) =>  (F=k6_mcart_1(A, B, C, D, E) <=>  (! [G] :  (! [H] :  (! [I] :  (! [J] :  (E=k6_xtuple_0(G, H, I, J) => F=I) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_mcart_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_subset_1(E, k4_zfmisc_1(A, B, C, D)) =>  (! [F] :  (m1_subset_1(F, D) =>  (F=k7_mcart_1(A, B, C, D, E) <=>  (! [G] :  (! [H] :  (! [I] :  (! [J] :  (E=k6_xtuple_0(G, H, I, J) => F=J) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_mcart_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_subset_1(E, k4_zfmisc_1(A, B, C, D)) =>  ( ~ (E=k4_mcart_1(A, B, C, D, E))  &  ( ~ (E=k5_mcart_1(A, B, C, D, E))  &  ( ~ (E=k6_mcart_1(A, B, C, D, E))  &  ~ (E=k7_mcart_1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ~ ( ( ~ (r1_tarski(A, k4_zfmisc_1(A, B, C, D)))  &  ( ~ (r1_tarski(A, k4_zfmisc_1(B, C, D, A)))  &  ( ~ (r1_tarski(A, k4_zfmisc_1(C, D, A, B)))  &  ~ (r1_tarski(A, k4_zfmisc_1(D, A, B, C))) ) ) ) )  => A=k1_xboole_0) ) ) ) ) ).
fof(t60_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  ( ~ (r1_xboole_0(k4_zfmisc_1(A, B, C, D), k4_zfmisc_1(E, F, G, H)))  =>  ( ~ (r1_xboole_0(A, E))  &  ( ~ (r1_xboole_0(B, F))  &  ( ~ (r1_xboole_0(C, G))  &  ~ (r1_xboole_0(D, H)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k4_zfmisc_1(k1_tarski(A), k1_tarski(B), k1_tarski(C), k1_tarski(D))=k1_tarski(k6_xtuple_0(A, B, C, D))) ) ) ) ).
fof(t62_mcart_1, axiom,  (! [A] :  (! [B] :  ( ~ (k2_zfmisc_1(A, B)=k1_xboole_0)  =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(A, B)) =>  ( ~ (C=k1_xtuple_0(C))  &  ~ (C=k2_xtuple_0(C)) ) ) ) ) ) ) ).
fof(t63_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_hidden(A, k2_zfmisc_1(B, C)) =>  ( ~ (A=k1_xtuple_0(A))  &  ~ (A=k2_xtuple_0(A)) ) ) ) ) ) ).
fof(t64_mcart_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k3_zfmisc_1(A, B, C)) =>  (! [E] :  (! [F] :  (! [G] :  (D=k3_xtuple_0(E, F, G) =>  (k1_mcart_1(A, B, C, D)=E &  (k2_mcart_1(A, B, C, D)=F & k3_mcart_1(A, B, C, D)=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_mcart_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_subset_1(E, k3_zfmisc_1(B, C, D)) =>  ( (! [F] :  (m1_subset_1(F, B) =>  (! [G] :  (m1_subset_1(G, C) =>  (! [H] :  (m1_subset_1(H, D) =>  (E=k3_xtuple_0(F, G, H) => A=F) ) ) ) ) ) )  => A=k1_mcart_1(B, C, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(t66_mcart_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_subset_1(E, k3_zfmisc_1(B, C, D)) =>  ( (! [F] :  (m1_subset_1(F, B) =>  (! [G] :  (m1_subset_1(G, C) =>  (! [H] :  (m1_subset_1(H, D) =>  (E=k3_xtuple_0(F, G, H) => A=G) ) ) ) ) ) )  => A=k2_mcart_1(B, C, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(t67_mcart_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_subset_1(E, k3_zfmisc_1(B, C, D)) =>  ( (! [F] :  (m1_subset_1(F, B) =>  (! [G] :  (m1_subset_1(G, C) =>  (! [H] :  (m1_subset_1(H, D) =>  (E=k3_xtuple_0(F, G, H) => A=H) ) ) ) ) ) )  => A=k3_mcart_1(B, C, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(t68_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ~ ( (r2_hidden(A, k3_zfmisc_1(B, C, D)) &  (! [E] :  (! [F] :  (! [G] :  ~ ( (r2_hidden(E, B) &  (r2_hidden(F, C) &  (r2_hidden(G, D) & A=k3_xtuple_0(E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t69_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (r2_hidden(k3_xtuple_0(A, B, C), k3_zfmisc_1(D, E, F)) <=>  (r2_hidden(A, D) &  (r2_hidden(B, E) & r2_hidden(C, F)) ) ) ) ) ) ) ) ) ).
fof(t70_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (! [E] :  (r2_hidden(E, D) <=>  (? [F] :  (? [G] :  (? [H] :  (r2_hidden(F, A) &  (r2_hidden(G, B) &  (r2_hidden(H, C) & E=k3_xtuple_0(F, G, H)) ) ) ) ) ) ) )  => D=k3_zfmisc_1(A, B, C)) ) ) ) ) ).
fof(t72_mcart_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(A)))  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(B)))  =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  & m1_subset_1(F, k1_zfmisc_1(C)))  =>  (! [G] :  (m1_subset_1(G, k3_zfmisc_1(A, B, C)) =>  (r2_tarski(G, k3_zfmisc_1(D, E, F)) =>  (r2_tarski(k1_mcart_1(A, B, C, G), D) &  (r2_tarski(k2_mcart_1(A, B, C, G), E) & r2_tarski(k3_mcart_1(A, B, C, G), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t73_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( (r1_tarski(A, D) &  (r1_tarski(B, E) & r1_tarski(C, F)) )  => r1_tarski(k3_zfmisc_1(A, B, C), k3_zfmisc_1(D, E, F))) ) ) ) ) ) ) ).
fof(t74_mcart_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_subset_1(E, k4_zfmisc_1(A, B, C, D)) =>  (! [F] :  (! [G] :  (! [H] :  (! [I] :  (E=k6_xtuple_0(F, G, H, I) =>  (k4_mcart_1(A, B, C, D, E)=F &  (k5_mcart_1(A, B, C, D, E)=G &  (k6_mcart_1(A, B, C, D, E)=H & k7_mcart_1(A, B, C, D, E)=I) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_mcart_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  (m1_subset_1(F, k4_zfmisc_1(B, C, D, E)) =>  ( (! [G] :  (m1_subset_1(G, B) =>  (! [H] :  (m1_subset_1(H, C) =>  (! [I] :  (m1_subset_1(I, D) =>  (! [J] :  (m1_subset_1(J, E) =>  (F=k6_xtuple_0(G, H, I, J) => A=G) ) ) ) ) ) ) ) )  => A=k4_mcart_1(B, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t76_mcart_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  (m1_subset_1(F, k4_zfmisc_1(B, C, D, E)) =>  ( (! [G] :  (m1_subset_1(G, B) =>  (! [H] :  (m1_subset_1(H, C) =>  (! [I] :  (m1_subset_1(I, D) =>  (! [J] :  (m1_subset_1(J, E) =>  (F=k6_xtuple_0(G, H, I, J) => A=H) ) ) ) ) ) ) ) )  => A=k5_mcart_1(B, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t77_mcart_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  (m1_subset_1(F, k4_zfmisc_1(B, C, D, E)) =>  ( (! [G] :  (m1_subset_1(G, B) =>  (! [H] :  (m1_subset_1(H, C) =>  (! [I] :  (m1_subset_1(I, D) =>  (! [J] :  (m1_subset_1(J, E) =>  (F=k6_xtuple_0(G, H, I, J) => A=I) ) ) ) ) ) ) ) )  => A=k6_mcart_1(B, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t78_mcart_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  (m1_subset_1(F, k4_zfmisc_1(B, C, D, E)) =>  ( (! [G] :  (m1_subset_1(G, B) =>  (! [H] :  (m1_subset_1(H, C) =>  (! [I] :  (m1_subset_1(I, D) =>  (! [J] :  (m1_subset_1(J, E) =>  (F=k6_xtuple_0(G, H, I, J) => A=J) ) ) ) ) ) ) ) )  => A=k7_mcart_1(B, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t79_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ~ ( (r2_hidden(A, k4_zfmisc_1(B, C, D, E)) &  (! [F] :  (! [G] :  (! [H] :  (! [I] :  ~ ( (r2_hidden(F, B) &  (r2_hidden(G, C) &  (r2_hidden(H, D) &  (r2_hidden(I, E) & A=k6_xtuple_0(F, G, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t80_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (r2_hidden(k6_xtuple_0(A, B, C, D), k4_zfmisc_1(E, F, G, H)) <=>  (r2_hidden(A, E) &  (r2_hidden(B, F) &  (r2_hidden(C, G) & r2_hidden(D, H)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t81_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (! [F] :  (r2_hidden(F, E) <=>  (? [G] :  (? [H] :  (? [I] :  (? [J] :  (r2_hidden(G, A) &  (r2_hidden(H, B) &  (r2_hidden(I, C) &  (r2_hidden(J, D) & F=k6_xtuple_0(G, H, I, J)) ) ) ) ) ) ) ) ) )  => E=k4_zfmisc_1(A, B, C, D)) ) ) ) ) ) ).
fof(t83_mcart_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(A)))  =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  & m1_subset_1(F, k1_zfmisc_1(B)))  =>  (! [G] :  ( ( ~ (v1_xboole_0(G))  & m1_subset_1(G, k1_zfmisc_1(C)))  =>  (! [H] :  ( ( ~ (v1_xboole_0(H))  & m1_subset_1(H, k1_zfmisc_1(D)))  =>  (! [I] :  (m1_subset_1(I, k4_zfmisc_1(A, B, C, D)) =>  (r2_tarski(I, k4_zfmisc_1(E, F, G, H)) =>  (r2_tarski(k4_mcart_1(A, B, C, D, I), E) &  (r2_tarski(k5_mcart_1(A, B, C, D, I), F) &  (r2_tarski(k6_mcart_1(A, B, C, D, I), G) & r2_tarski(k7_mcart_1(A, B, C, D, I), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t84_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  ( (r1_tarski(A, E) &  (r1_tarski(B, F) &  (r1_tarski(C, G) & r1_tarski(D, H)) ) )  => r1_tarski(k4_zfmisc_1(A, B, C, D), k4_zfmisc_1(E, F, G, H))) ) ) ) ) ) ) ) ) ).
fof(d12_mcart_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (B=k11_mcart_1(A) <=>  (k9_xtuple_0(B)=k9_xtuple_0(A) &  (! [C] :  (r2_hidden(C, k9_xtuple_0(A)) => k1_funct_1(B, C)=k1_xtuple_0(k1_funct_1(A, C))) ) ) ) ) ) ) ) ).
fof(d13_mcart_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (B=k12_mcart_1(A) <=>  (k9_xtuple_0(B)=k9_xtuple_0(A) &  (! [C] :  (r2_hidden(C, k9_xtuple_0(A)) => k1_funct_1(B, C)=k2_xtuple_0(k1_funct_1(A, C))) ) ) ) ) ) ) ) ).
fof(d14_mcart_1, axiom,  (! [A] : k13_mcart_1(A)=k1_xtuple_0(k1_xtuple_0(A))) ).
fof(d15_mcart_1, axiom,  (! [A] : k14_mcart_1(A)=k2_xtuple_0(k1_xtuple_0(A))) ).
fof(d16_mcart_1, axiom,  (! [A] : k15_mcart_1(A)=k1_xtuple_0(k2_xtuple_0(A))) ).
fof(d17_mcart_1, axiom,  (! [A] : k16_mcart_1(A)=k2_xtuple_0(k2_xtuple_0(A))) ).
fof(t85_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (k13_mcart_1(k4_tarski(k4_tarski(A, B), C))=A &  (k14_mcart_1(k4_tarski(k4_tarski(A, B), C))=B &  (k15_mcart_1(k4_tarski(F, k4_tarski(D, E)))=D & k16_mcart_1(k4_tarski(F, k4_tarski(D, E)))=E) ) ) ) ) ) ) ) ) ).
fof(t86_mcart_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r2_hidden(B, A) =>  (r2_hidden(k1_xtuple_0(B), k9_xtuple_0(A)) & r2_hidden(k2_xtuple_0(B), k10_xtuple_0(A))) ) ) ) ) ).
fof(t88_mcart_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r2_hidden(B, A) => r2_hidden(k2_xtuple_0(B), k9_relat_1(A, k1_xtuple_0(B)))) ) ) ) ).
fof(t89_mcart_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (! [C] :  ( (r2_hidden(C, B) &  (r2_hidden(A, B) &  (k1_xtuple_0(C)=k1_xtuple_0(A) & k2_xtuple_0(C)=k2_xtuple_0(A)) ) )  => C=A) ) ) ) ) ).
fof(t90_mcart_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_relat_1(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  ( (k1_xtuple_0(B)=k1_xtuple_0(C) & k2_xtuple_0(B)=k2_xtuple_0(C))  => B=C) ) ) ) ) ) ) ).
fof(t91_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] : k9_xtuple_0(k9_xtuple_0(k2_tarski(k3_xtuple_0(A, B, C), k3_xtuple_0(D, E, F))))=k2_tarski(A, D)) ) ) ) ) ) ).
fof(t92_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] : k9_xtuple_0(k9_xtuple_0(k1_tarski(k3_xtuple_0(A, B, C))))=k1_tarski(A)) ) ) ).
fof(t93_mcart_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (k4_tarski(k4_tarski(A, B), k4_tarski(C, D))=k4_tarski(k4_tarski(E, F), k4_tarski(G, H)) =>  (A=E &  (B=F &  (C=G & D=H) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_mcart_1, axiom,  ( (! [A] :  ~ ( (r2_hidden(A, f1_s1_mcart_1) &  (! [B] :  (! [C] :  ~ ( (r2_hidden(B, f2_s1_mcart_1) &  (r2_hidden(C, f3_s1_mcart_1) & p1_s1_mcart_1(A, B, C)) ) ) ) ) ) ) )  =>  (? [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  &  (? [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  &  (k9_xtuple_0(A)=f1_s1_mcart_1 &  (k9_xtuple_0(B)=f1_s1_mcart_1 &  (! [C] :  (r2_hidden(C, f1_s1_mcart_1) => p1_s1_mcart_1(C, k1_funct_1(A, C), k1_funct_1(B, C))) ) ) ) ) ) ) ) ) ).
fof(dt_k1_mcart_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(D, k3_zfmisc_1(A, B, C))) ) )  => m1_subset_1(k1_mcart_1(A, B, C, D), A)) ) ).
fof(redefinition_k1_mcart_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(D, k3_zfmisc_1(A, B, C))) ) )  => k1_mcart_1(A, B, C, D)=k4_xtuple_0(D)) ) ).
fof(dt_k2_mcart_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(D, k3_zfmisc_1(A, B, C))) ) )  => m1_subset_1(k2_mcart_1(A, B, C, D), B)) ) ).
fof(redefinition_k2_mcart_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(D, k3_zfmisc_1(A, B, C))) ) )  => k2_mcart_1(A, B, C, D)=k5_xtuple_0(D)) ) ).
fof(dt_k3_mcart_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(D, k3_zfmisc_1(A, B, C))) ) )  => m1_subset_1(k3_mcart_1(A, B, C, D), C)) ) ).
fof(redefinition_k3_mcart_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(D, k3_zfmisc_1(A, B, C))) ) )  => k3_mcart_1(A, B, C, D)=k2_xtuple_0(D)) ) ).
fof(dt_k4_mcart_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  & m1_subset_1(E, k4_zfmisc_1(A, B, C, D))) ) ) )  => m1_subset_1(k4_mcart_1(A, B, C, D, E), A)) ) ).
fof(redefinition_k4_mcart_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  & m1_subset_1(E, k4_zfmisc_1(A, B, C, D))) ) ) )  => k4_mcart_1(A, B, C, D, E)=k7_xtuple_0(E)) ) ).
fof(dt_k5_mcart_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  & m1_subset_1(E, k4_zfmisc_1(A, B, C, D))) ) ) )  => m1_subset_1(k5_mcart_1(A, B, C, D, E), B)) ) ).
fof(redefinition_k5_mcart_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  & m1_subset_1(E, k4_zfmisc_1(A, B, C, D))) ) ) )  => k5_mcart_1(A, B, C, D, E)=k8_xtuple_0(E)) ) ).
fof(dt_k6_mcart_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  & m1_subset_1(E, k4_zfmisc_1(A, B, C, D))) ) ) )  => m1_subset_1(k6_mcart_1(A, B, C, D, E), C)) ) ).
fof(redefinition_k6_mcart_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  & m1_subset_1(E, k4_zfmisc_1(A, B, C, D))) ) ) )  => k6_mcart_1(A, B, C, D, E)=k5_xtuple_0(E)) ) ).
fof(dt_k7_mcart_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  & m1_subset_1(E, k4_zfmisc_1(A, B, C, D))) ) ) )  => m1_subset_1(k7_mcart_1(A, B, C, D, E), D)) ) ).
fof(redefinition_k7_mcart_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  & m1_subset_1(E, k4_zfmisc_1(A, B, C, D))) ) ) )  => k7_mcart_1(A, B, C, D, E)=k2_xtuple_0(E)) ) ).
fof(dt_k8_mcart_1, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(B)))  => m1_subset_1(k8_mcart_1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ).
fof(redefinition_k8_mcart_1, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(B)))  => k8_mcart_1(A, B, C, D)=k2_zfmisc_1(C, D)) ) ).
fof(dt_k9_mcart_1, axiom,  (! [A, B, C, D, E, F] :  ( (m1_subset_1(D, k1_zfmisc_1(A)) &  (m1_subset_1(E, k1_zfmisc_1(B)) & m1_subset_1(F, k1_zfmisc_1(C))) )  => m1_subset_1(k9_mcart_1(A, B, C, D, E, F), k1_zfmisc_1(k3_zfmisc_1(A, B, C)))) ) ).
fof(redefinition_k9_mcart_1, axiom,  (! [A, B, C, D, E, F] :  ( (m1_subset_1(D, k1_zfmisc_1(A)) &  (m1_subset_1(E, k1_zfmisc_1(B)) & m1_subset_1(F, k1_zfmisc_1(C))) )  => k9_mcart_1(A, B, C, D, E, F)=k3_zfmisc_1(D, E, F)) ) ).
fof(dt_k10_mcart_1, axiom,  (! [A, B, C, D, E, F, G, H] :  ( (m1_subset_1(E, k1_zfmisc_1(A)) &  (m1_subset_1(F, k1_zfmisc_1(B)) &  (m1_subset_1(G, k1_zfmisc_1(C)) & m1_subset_1(H, k1_zfmisc_1(D))) ) )  => m1_subset_1(k10_mcart_1(A, B, C, D, E, F, G, H), k1_zfmisc_1(k4_zfmisc_1(A, B, C, D)))) ) ).
fof(redefinition_k10_mcart_1, axiom,  (! [A, B, C, D, E, F, G, H] :  ( (m1_subset_1(E, k1_zfmisc_1(A)) &  (m1_subset_1(F, k1_zfmisc_1(B)) &  (m1_subset_1(G, k1_zfmisc_1(C)) & m1_subset_1(H, k1_zfmisc_1(D))) ) )  => k10_mcart_1(A, B, C, D, E, F, G, H)=k4_zfmisc_1(E, F, G, H)) ) ).
fof(dt_k11_mcart_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k11_mcart_1(A)) & v1_funct_1(k11_mcart_1(A))) ) ) ).
fof(dt_k12_mcart_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k12_mcart_1(A)) & v1_funct_1(k12_mcart_1(A))) ) ) ).
fof(t87_mcart_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_relat_1(A))  =>  (! [B] : k9_relat_1(A, B)=a_2_0_mcart_1(A, B)) ) ) ).
fof(fraenkel_a_2_0_mcart_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & v1_relat_1(B))  =>  (r2_hidden(A, a_2_0_mcart_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, B) &  (A=k2_xtuple_0(D) & k1_xtuple_0(D)=C) ) ) ) ) ) ).
fof(fc1_measur10, axiom,  (! [A, B] :  (v1_relat_1(k4_funct_3(A, B)) &  (v1_funct_1(k4_funct_3(A, B)) & v6_supinf_2(k4_funct_3(A, B))) ) ) ).
fof(fc2_measur10, axiom,  (! [A, B] :  (v1_funct_1(k5_measur10(B, A)) &  (v1_funct_2(k5_measur10(B, A), A, k6_numbers) & v6_supinf_2(k5_measur10(B, A))) ) ) ).
fof(t1_measur10, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  ( ~ (v1_xboole_0(F))  =>  ( (r1_subset_1(k2_zfmisc_1(B, E), k2_zfmisc_1(C, F)) & k2_zfmisc_1(A, D)=k2_xboole_0(k2_zfmisc_1(B, E), k2_zfmisc_1(C, F)))  <=>  ( (r1_subset_1(B, C) &  (A=k2_xboole_0(B, C) &  (D=E & D=F) ) )  |  (r1_subset_1(E, F) &  (D=k2_xboole_0(E, F) &  (A=B & A=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_measur10, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( (r2_hidden(E, A) & r2_hidden(F, B))  => k4_xxreal_3(k1_funct_1(k3_mesfunc2(C, A), E), k1_funct_1(k3_mesfunc2(D, B), F))=k1_binop_1(k3_mesfunc2(k2_zfmisc_1(C, D), k2_zfmisc_1(A, B)), E, F)) ) ) ) ) ) ) ).
fof(t3_measur10, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_srings_3(B, A) =>  (! [C] :  (m1_measure9(C, A, B) =>  (! [D] :  (m2_measure9(D, A, B, C) =>  (! [E] :  (m3_measure9(E, A, B, C, D) => r1_measure3(A, k2_measure3(A, k9_prob_1(A, k4_srings_3(A, B)), E), k4_measure3(A, k9_prob_1(A, k4_srings_3(A, B)), E))) ) ) ) ) ) ) ) ) ) ).
fof(t4_measur10, axiom, r1_tarski(k11_prob_1, k2_measur10)).
fof(t5_measur10, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  ( (v6_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  => r2_tarski(A, k12_prob_1)) ) ) ).
fof(t6_measur10, axiom,  (k9_prob_1(k1_numbers, k2_measur10)=k12_prob_1 & k9_prob_1(k1_numbers, k4_srings_3(k1_numbers, k2_measur10))=k12_prob_1) ).
fof(t9_measur10, axiom,  (! [A] :  (! [B] :  ( (v1_prob_2(B) & m2_finseq_1(B, A))  =>  (! [C] :  ( (v1_prob_2(C) & m2_finseq_1(C, A))  =>  (r1_xboole_0(k3_tarski(k2_relset_1(A, B)), k3_tarski(k2_relset_1(A, C))) =>  (v1_prob_2(k8_finseq_1(A, B, C)) & m2_finseq_1(k8_finseq_1(A, B, C), A)) ) ) ) ) ) ) ).
fof(d2_measur10, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) )  =>  (m1_measur10(C, A, B) <=>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k2_finseq_1(A)) => m2_srings_3(k1_funct_1(C, D), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t13_measur10, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) )  =>  (! [C] :  (m2_measur10(C, A, B) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k2_finseq_1(A)) => r2_tarski(k1_funct_1(B, D), k1_funct_1(C, D))) ) ) ) ) ) ) ) ) ).
fof(t15_measur10, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  (v3_card_1(A, 1) & v1_finseq_1(A)) ) ) )  =>  (! [B] :  (m2_measur10(B, 1, A) => m2_srings_3(k3_srings_4(1, B), k4_card_3(A))) ) ) ) ).
fof(t17_measur10, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) )  =>  (! [C] :  (m2_measur10(C, A, B) => m2_srings_3(k3_srings_4(A, C), k4_card_3(B))) ) ) ) ) ) ).
fof(t18_measur10, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, 1) & v1_finseq_1(C)) ) ) )  =>  (! [D] :  (m2_measur10(D, A, B) =>  (! [E] :  (m2_measur10(E, 1, C) => m2_srings_3(k3_srings_4(k2_xcmplx_0(A, 1), k7_finseq_1(D, E)), k4_card_3(k7_finseq_1(B, C)))) ) ) ) ) ) ) ) ) ) ).
fof(d3_measur10, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) )  =>  (m3_measur10(C, A, B) <=>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k2_finseq_1(A)) =>  ( ~ (v1_xboole_0(k1_funct_1(C, D)))  &  (v1_prob_1(k1_funct_1(C, D), k1_funct_1(B, D)) &  (v2_finsub_1(k1_funct_1(C, D)) & m1_subset_1(k1_funct_1(C, D), k1_zfmisc_1(k1_zfmisc_1(k1_funct_1(B, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_measur10, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  (v3_card_1(A, 1) & v1_finseq_1(A)) ) ) )  =>  (! [B] :  (m4_measur10(B, 1, A) =>  ( ~ (v1_xboole_0(k3_srings_4(1, B)))  &  (v1_prob_1(k3_srings_4(1, B), k4_card_3(A)) &  (v2_finsub_1(k3_srings_4(1, B)) & m1_subset_1(k3_srings_4(1, B), k1_zfmisc_1(k1_zfmisc_1(k4_card_3(A))))) ) ) ) ) ) ) ).
fof(d4_measur10, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) )  =>  (! [C] :  (m4_measur10(C, A, B) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, A) & v1_finseq_1(D)) ) )  =>  (m5_measur10(D, A, B, C) <=>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_tarski(E, k2_finseq_1(A)) &  (! [F] :  ( ( ~ (v1_xboole_0(F))  &  (v1_prob_1(F, k1_funct_1(B, E)) &  (v2_finsub_1(F) & m1_subset_1(F, k1_zfmisc_1(k1_zfmisc_1(k1_funct_1(B, E))))) ) )  =>  ~ ( (F=k1_funct_1(C, E) &  (v1_funct_1(k1_funct_1(D, E)) &  (v1_funct_2(k1_funct_1(D, E), F, k6_numbers) &  (v10_valued_0(k1_funct_1(D, E)) &  (v6_supinf_2(k1_funct_1(D, E)) &  (v2_measure1(k1_funct_1(D, E), k1_funct_1(B, E), F) & m1_subset_1(k1_funct_1(D, E), k1_zfmisc_1(k2_zfmisc_1(F, k6_numbers)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_measur10, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (? [C] :  (m2_srings_3(C, A) &  (B=C & B=k4_srings_3(A, C)) ) ) ) ) ) ).
fof(d6_measur10, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v2_finsub_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v2_finsub_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v2_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v2_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k3_measur10(A, B, C, D), k6_numbers) &  (v10_valued_0(G) &  (v6_supinf_2(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k3_measur10(A, B, C, D), k6_numbers)))) ) ) )  =>  (G=k4_measur10(A, B, C, D, E, F) <=>  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, B)), k3_measur10(A, B, C, D)) =>  (? [I] :  (m2_subset_1(I, k1_zfmisc_1(A), C) &  (? [J] :  (m2_subset_1(J, k1_zfmisc_1(B), D) &  (H=k2_zfmisc_1(I, J) & k12_supinf_2(G, H)=k1_extreal1(k12_supinf_2(E, I), k12_supinf_2(F, J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_measur10, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v2_finsub_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v2_finsub_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v2_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v2_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (! [H] :  ( (r2_tarski(G, C) & r2_tarski(H, D))  => k12_supinf_2(k4_measur10(A, B, C, D, E, F), k2_zfmisc_1(G, H))=k1_extreal1(k12_supinf_2(E, G), k12_supinf_2(F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_measur10, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_finsub_1(B) &  (v1_srings_3(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(A), B) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (? [E] :  ( (v1_prob_2(E) & m2_finseq_1(E, B))  &  (? [F] :  ( (v1_prob_2(F) & m2_finseq_1(F, B))  &  (? [G] :  ( (v1_prob_2(G) & m2_finseq_1(G, B))  &  (k3_tarski(k2_relset_1(B, E))=k7_subset_1(A, C, D) &  (k3_tarski(k2_relset_1(B, F))=k7_subset_1(A, D, C) &  (k3_tarski(k2_relset_1(B, G))=k9_subset_1(A, C, D) &  (v1_prob_2(k8_finseq_1(B, k8_finseq_1(B, E, F), G)) & m2_finseq_1(k8_finseq_1(B, k8_finseq_1(B, E, F), G), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_measur10, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v2_finsub_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v2_finsub_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v2_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v2_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k3_measur10(A, B, C, D)) =>  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, B)), k3_measur10(A, B, C, D)) =>  ( (r1_xboole_0(G, H) & r2_tarski(k4_subset_1(k2_zfmisc_1(A, B), G, H), k3_measur10(A, B, C, D)))  => k12_supinf_2(k4_measur10(A, B, C, D, E, F), k4_subset_1(k2_zfmisc_1(A, B), G, H))=k3_supinf_2(k12_supinf_2(k4_measur10(A, B, C, D, E, F), G), k12_supinf_2(k4_measur10(A, B, C, D, E, F), H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_measur10, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  ( (v1_prob_2(C) &  (! [E] :  (v7_ordinal1(E) => r2_relset_1(A, k6_numbers, k4_mesfunc5(A, k6_numbers, D, E), k3_mesfunc2(k8_nat_1(B, C, E), A))) ) )  =>  (! [E] :  (r2_hidden(E, A) => k1_funct_1(k3_mesfunc2(k3_card_3(C), A), E)=k1_funct_1(k7_mesfunc8(A, k3_mesfunc9(A, D)), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_measur10, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (v1_xreal_0(E) =>  ( (r2_tarski(k1_relset_1(A, D), B) &  (r1_xxreal_0(k5_numbers, E) &  (! [F] :  (r2_hidden(F, k1_relset_1(A, D)) => k1_funct_1(D, F)=E) ) ) )  => k7_mesfunc5(A, B, C, D)=k4_xxreal_3(E, k12_supinf_2(C, k1_relset_1(A, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_measur10, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  ( ( (! [F] :  (r2_hidden(F, k7_subset_1(A, k1_relset_1(A, D), E)) => k1_funct_1(D, F)=k5_numbers) )  & v6_supinf_2(D))  =>  ( (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ~ ( (F=k1_relset_1(A, D) & r1_mesfunc1(A, B, D, F)) ) ) )  | k7_mesfunc5(A, B, C, D)=k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_measur10, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  ( (r1_mesfunc5(A, B, C, D) &  (! [F] :  (r2_hidden(F, k7_subset_1(A, k1_relset_1(A, D), E)) => k1_funct_1(D, F)=k5_numbers) ) )  => k7_mesfunc5(A, B, C, D)=k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_measur10, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, D, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, B, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, C)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, D) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, D)))) )  =>  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(A), C) =>  (! [I] :  (m2_subset_1(I, k1_zfmisc_1(B), D) =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, k4_ordinal1, k4_partfun1(B, k6_numbers)) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(B, k6_numbers))))) )  =>  (! [K] :  ( (v1_funct_1(K) &  (v1_funct_2(K, k4_ordinal1, k9_funct_2(A, k1_numbers)) & m1_subset_1(K, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_funct_2(A, k1_numbers))))) )  =>  (! [L] :  (m1_subset_1(L, A) =>  ~ ( ( (! [M] :  (v7_ordinal1(M) => k1_measur10(A, k1_numbers, K, M)=k3_mesfunc2(k8_nat_1(C, F, M), A)) )  &  ( (! [M] :  (v7_ordinal1(M) => r2_relset_1(B, k6_numbers, k4_mesfunc5(B, k6_numbers, J, M), k6_mesfunc1(B, k3_mesfunc2(k8_nat_1(D, G, M), B), k12_supinf_2(k1_measur10(A, k1_numbers, K, M), L)))) )  &  ( (! [M] :  (v7_ordinal1(M) => r1_tarski(k8_nat_1(D, G, M), I)) )  &  (! [M] :  ( (v1_funct_1(M) &  (v1_funct_2(M, k4_ordinal1, k6_numbers) & m1_subset_1(M, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ~ ( ( (! [N] :  (v7_ordinal1(N) => k12_supinf_2(M, N)=k1_extreal1(k12_supinf_2(E, k8_nat_1(D, G, N)), k12_supinf_2(k3_mesfunc2(k8_nat_1(C, F, N), A), L))) )  &  (v1_mesfunc9(M) & k7_mesfunc5(B, D, E, k7_mesfunc8(B, k3_mesfunc9(B, J)))=k2_mesfunc9(M)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_measur10, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(A), B) =>  (! [D] :  (m1_subset_1(D, k6_numbers) => r1_mesfunc1(A, B, k8_funcop_1(k6_numbers, A, D), C)) ) ) ) ) ) ) ) ).
fof(d7_measur10, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) )  =>  (C=k5_measur10(A, B) <=>  (! [D] :  (r2_hidden(D, B) =>  ( (r2_hidden(D, A) => k1_funct_1(C, D)=k1_supinf_1)  &  ( ~ (r2_hidden(D, A))  => k1_funct_1(C, D)=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(t32_measur10, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(A), B) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) => r1_mesfunc1(A, B, k5_measur10(C, A), D)) ) ) ) ) ) ) ) ).
fof(t33_measur10, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  ( ( ~ (k12_supinf_2(C, D)=k5_numbers)  => k7_mesfunc5(A, B, C, k5_measur10(D, A))=k1_supinf_1)  &  (k12_supinf_2(C, D)=k5_numbers => k7_mesfunc5(A, B, C, k5_measur10(D, A))=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t34_measur10, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, k3_measur10(A, B, C, D)) &  (v1_prob_2(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k3_measur10(A, B, C, D))))) ) )  =>  (r2_tarski(k3_card_3(G), k3_measur10(A, B, C, D)) => k12_supinf_2(k4_measur10(A, B, C, D, E, F), k3_card_3(G))=k17_supinf_2(k1_partfun1(k4_ordinal1, k3_measur10(A, B, C, D), k3_measur10(A, B, C, D), k6_numbers, G, k4_measur10(A, B, C, D, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_measur10, axiom,  (! [A] :  ( (v3_mesfunc5(A) & m2_finseq_1(A, k6_numbers))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) &  (v3_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) ) )  =>  ( (! [C] :  (r2_hidden(C, k4_finseq_1(A)) => k1_funct_1(A, C)=k1_funct_1(B, C)) )  => k3_supinf_2(k4_extreal1(A), k12_supinf_2(B, k5_numbers))=k12_supinf_2(k1_mesfunc9(B), k3_finseq_1(A))) ) ) ) ) ).
fof(t36_measur10, axiom,  (! [A] :  ( (v6_supinf_2(A) & m2_finseq_1(A, k6_numbers))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( ( (! [C] :  (r2_hidden(C, k4_finseq_1(A)) => k1_funct_1(A, C)=k1_funct_1(B, C)) )  &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( ~ (r2_tarski(C, k4_finseq_1(A)))  => k12_supinf_2(B, C)=k5_numbers) ) ) )  =>  (k4_extreal1(A)=k2_mesfunc9(B) & k4_extreal1(A)=k17_supinf_2(B)) ) ) ) ) ) ).
fof(t37_measur10, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  ( (v1_prob_2(G) & m2_finseq_1(G, k3_measur10(A, B, C, D)))  =>  (r2_tarski(k3_card_3(G), k3_measur10(A, B, C, D)) => k12_supinf_2(k4_measur10(A, B, C, D, E, F), k3_card_3(G))=k4_extreal1(k4_finseqop(k3_measur10(A, B, C, D), k6_numbers, G, k4_measur10(A, B, C, D, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_measur10, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  => m1_measure9(k4_measur10(A, B, C, D, E, F), k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_measur10, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_funct_2(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_funct_2(A, B))))) )  & v7_ordinal1(D)) ) )  =>  (v1_funct_1(k1_measur10(A, B, C, D)) &  (v1_funct_2(k1_measur10(A, B, C, D), A, B) & m1_subset_1(k1_measur10(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ).
fof(redefinition_k1_measur10, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_funct_2(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_funct_2(A, B))))) )  & v7_ordinal1(D)) ) )  => k1_measur10(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(dt_k2_measur10, axiom, m2_srings_3(k2_measur10, k1_numbers)).
fof(dt_m1_measur10, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) ) )  =>  (! [C] :  (m1_measur10(C, A, B) =>  (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) ) ) ) ) ) ).
fof(existence_m1_measur10, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) ) )  =>  (? [C] : m1_measur10(C, A, B)) ) ) ).
fof(dt_m2_measur10, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) ) )  =>  (! [C] :  (m2_measur10(C, A, B) =>  (v1_srings_4(C, A, B) & m1_srings_4(C, A, B)) ) ) ) ) ).
fof(existence_m2_measur10, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) ) )  =>  (? [C] : m2_measur10(C, A, B)) ) ) ).
fof(redefinition_m2_measur10, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) ) )  =>  (! [C] :  (m2_measur10(C, A, B) <=> m1_measur10(C, A, B)) ) ) ) ).
fof(dt_m3_measur10, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) ) )  =>  (! [C] :  (m3_measur10(C, A, B) =>  (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) ) ) ) ) ) ).
fof(existence_m3_measur10, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) ) )  =>  (? [C] : m3_measur10(C, A, B)) ) ) ).
fof(dt_m4_measur10, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) ) )  =>  (! [C] :  (m4_measur10(C, A, B) => m2_measur10(C, A, B)) ) ) ) ).
fof(existence_m4_measur10, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) ) )  =>  (? [C] : m4_measur10(C, A, B)) ) ) ).
fof(redefinition_m4_measur10, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) ) )  =>  (! [C] :  (m4_measur10(C, A, B) <=> m3_measur10(C, A, B)) ) ) ) ).
fof(dt_m5_measur10, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) )  & m3_measur10(C, A, B)) )  =>  (! [D] :  (m5_measur10(D, A, B, C) =>  (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, A) & v1_finseq_1(D)) ) ) ) ) ) ) ).
fof(existence_m5_measur10, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) )  & m3_measur10(C, A, B)) )  =>  (? [D] : m5_measur10(D, A, B, C)) ) ) ).
fof(dt_k3_measur10, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v2_finsub_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v2_finsub_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) ) )  => m2_srings_3(k3_measur10(A, B, C, D), k2_zfmisc_1(A, B))) ) ).
fof(dt_k4_measur10, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v2_finsub_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v2_finsub_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v2_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  &  (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v2_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) ) ) ) )  =>  (v1_funct_1(k4_measur10(A, B, C, D, E, F)) &  (v1_funct_2(k4_measur10(A, B, C, D, E, F), k3_measur10(A, B, C, D), k6_numbers) &  (v10_valued_0(k4_measur10(A, B, C, D, E, F)) &  (v6_supinf_2(k4_measur10(A, B, C, D, E, F)) & m1_subset_1(k4_measur10(A, B, C, D, E, F), k1_zfmisc_1(k2_zfmisc_1(k3_measur10(A, B, C, D), k6_numbers)))) ) ) ) ) ) ).
fof(dt_k5_measur10, axiom,  (! [A, B] :  (v1_funct_1(k5_measur10(A, B)) &  (v1_funct_2(k5_measur10(A, B), B, k6_numbers) & m1_subset_1(k5_measur10(A, B), k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ).
fof(dt_k6_measur10, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  &  (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) ) ) ) ) ) )  => m1_measure9(k6_measur10(A, B, C, D, E, F), k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) ) ).
fof(redefinition_k6_measur10, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  &  (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) ) ) ) ) ) )  => k6_measur10(A, B, C, D, E, F)=k4_measur10(A, B, C, D, E, F)) ) ).
fof(d1_measur10, axiom, k2_measur10=a_0_0_measur10).
fof(t7_measur10, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B))))  =>  ( ~ (v1_xboole_0(a_4_0_measur10(A, B, C, D)))  & m1_subset_1(a_4_0_measur10(A, B, C, D), k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B))))) ) ) ) ) ) ) ).
fof(t8_measur10, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v1_setfam_1(C))  & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  (! [D] :  ( ( ~ (v1_setfam_1(D))  & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B))))  =>  ( ~ (v1_setfam_1(a_4_1_measur10(A, B, C, D)))  & m1_subset_1(a_4_1_measur10(A, B, C, D), k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B))))) ) ) ) ) ) ) ).
fof(t10_measur10, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v1_setfam_1(C))  &  (v2_finsub_1(C) &  (v1_srings_3(C) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_setfam_1(D))  &  (v2_finsub_1(D) &  (v1_srings_3(D) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  ( ~ (v1_setfam_1(a_4_2_measur10(A, B, C, D)))  &  (v2_finsub_1(a_4_2_measur10(A, B, C, D)) &  (v1_srings_3(a_4_2_measur10(A, B, C, D)) & m1_subset_1(a_4_2_measur10(A, B, C, D), k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B))))) ) ) ) ) ) ) ) ) ).
fof(t11_measur10, axiom,  (! [A] :  (! [B] :  (! [C] :  (m2_srings_3(C, A) =>  (! [D] :  (m2_srings_3(D, B) => m2_srings_3(a_4_3_measur10(A, B, C, D), k2_zfmisc_1(A, B))) ) ) ) ) ) ).
fof(t12_measur10, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v2_finsub_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v2_finsub_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  => m2_srings_3(a_4_4_measur10(A, B, C, D), k2_zfmisc_1(A, B))) ) ) ) ) ) ).
fof(t14_measur10, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  (v3_card_1(A, 1) & v1_finseq_1(A)) ) ) )  =>  (! [B] :  (m2_measur10(B, 1, A) => m2_srings_3(a_2_0_measur10(A, B), a_1_0_measur10(A))) ) ) ) ).
fof(t16_measur10, axiom,  (! [A] :  (! [B] :  (! [C] :  (m2_srings_3(C, A) =>  (! [D] :  (m2_srings_3(D, B) => m2_srings_3(a_4_3_measur10(A, B, C, D), k2_zfmisc_1(A, B))) ) ) ) ) ) ).
fof(t19_measur10, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  (v3_card_1(A, 1) & v1_finseq_1(A)) ) ) )  =>  (! [B] :  (m4_measur10(B, 1, A) =>  ( ~ (v1_xboole_0(a_2_1_measur10(A, B)))  &  (v1_prob_1(a_2_1_measur10(A, B), a_1_0_measur10(A)) &  (v2_finsub_1(a_2_1_measur10(A, B)) & m1_subset_1(a_2_1_measur10(A, B), k1_zfmisc_1(k1_zfmisc_1(a_1_0_measur10(A))))) ) ) ) ) ) ) ).
fof(d5_measur10, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v2_finsub_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v2_finsub_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  => k3_measur10(A, B, C, D)=a_4_4_measur10(A, B, C, D)) ) ) ) ) ) ).
fof(t23_measur10, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B))))  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B)))))  =>  (! [F] :  (m2_finseq_1(F, E) =>  ~ ( (E=a_4_0_measur10(A, B, C, D) &  (! [G] :  (m2_finseq_1(G, C) =>  (! [H] :  (m2_finseq_1(H, D) =>  ~ ( (k3_finseq_1(F)=k3_finseq_1(G) &  (k3_finseq_1(F)=k3_finseq_1(H) &  (! [I] :  (v7_ordinal1(I) =>  (r2_tarski(I, k4_finseq_1(F)) =>  (k1_funct_1(F, I)=k1_xboole_0 | k1_funct_1(F, I)=k2_zfmisc_1(k1_funct_1(G, I), k1_funct_1(H, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_0_0_measur10, axiom,  (! [A] :  (r2_hidden(A, a_0_0_measur10) <=>  (? [B] :  ( (v6_xxreal_2(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  & A=B) ) ) ) ).
fof(fraenkel_a_4_0_measur10, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B))))  &  ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(C)))) )  =>  (r2_hidden(A, a_4_0_measur10(B, C, D, E)) <=>  (? [F, G] :  ( (m2_subset_1(F, k1_zfmisc_1(B), D) & m2_subset_1(G, k1_zfmisc_1(C), E))  & A=k2_zfmisc_1(F, G)) ) ) ) ) ).
fof(fraenkel_a_4_1_measur10, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v1_setfam_1(D))  & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B))))  &  ( ~ (v1_setfam_1(E))  & m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(C)))) )  =>  (r2_hidden(A, a_4_1_measur10(B, C, D, E)) <=>  (? [F, G] :  ( (m2_subset_1(F, k1_zfmisc_1(B), D) & m2_subset_1(G, k1_zfmisc_1(C), E))  & A=k2_zfmisc_1(F, G)) ) ) ) ) ).
fof(fraenkel_a_4_2_measur10, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v1_setfam_1(D))  &  (v2_finsub_1(D) &  (v1_srings_3(D) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( ~ (v1_setfam_1(E))  &  (v2_finsub_1(E) &  (v1_srings_3(E) & m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(C)))) ) ) )  =>  (r2_hidden(A, a_4_2_measur10(B, C, D, E)) <=>  (? [F, G] :  ( (m2_subset_1(F, k1_zfmisc_1(B), D) & m2_subset_1(G, k1_zfmisc_1(C), E))  & A=k2_zfmisc_1(F, G)) ) ) ) ) ).
fof(fraenkel_a_4_3_measur10, axiom,  (! [A, B, C, D, E] :  ( (m2_srings_3(D, B) & m2_srings_3(E, C))  =>  (r2_hidden(A, a_4_3_measur10(B, C, D, E)) <=>  (? [F, G] :  ( (m2_subset_1(F, k1_zfmisc_1(B), D) & m2_subset_1(G, k1_zfmisc_1(C), E))  & A=k2_zfmisc_1(F, G)) ) ) ) ) ).
fof(fraenkel_a_4_4_measur10, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v2_finsub_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( ~ (v1_xboole_0(E))  &  (v1_prob_1(E, C) &  (v2_finsub_1(E) & m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(C)))) ) ) )  =>  (r2_hidden(A, a_4_4_measur10(B, C, D, E)) <=>  (? [F, G] :  ( (m2_subset_1(F, k1_zfmisc_1(B), D) & m2_subset_1(G, k1_zfmisc_1(C), E))  & A=k2_zfmisc_1(F, G)) ) ) ) ) ).
fof(fraenkel_a_2_0_measur10, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, 1) & v1_finseq_1(B)) ) ) )  & m2_measur10(C, 1, B))  =>  (r2_hidden(A, a_2_0_measur10(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_funct_1(C, 1)) & A=k4_card_3(k9_finseq_1(D))) ) ) ) ) ).
fof(fraenkel_a_1_0_measur10, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, 1) & v1_finseq_1(B)) ) ) )  =>  (r2_hidden(A, a_1_0_measur10(B)) <=>  (? [C] :  (m1_subset_1(C, k1_funct_1(B, 1)) & A=k9_finseq_1(C)) ) ) ) ) ).
fof(fraenkel_a_2_1_measur10, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, 1) & v1_finseq_1(B)) ) ) )  & m4_measur10(C, 1, B))  =>  (r2_hidden(A, a_2_1_measur10(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_funct_1(C, 1)) & A=k4_card_3(k9_finseq_1(D))) ) ) ) ) ).
fof(rc1_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_finseq_1(B, k9_funct_2(A, k6_numbers)) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k9_funct_2(A, k6_numbers)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) &  (v1_measur11(B, A) & v2_measur11(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_finseq_1(B, k9_funct_2(A, k6_numbers)) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k9_funct_2(A, k6_numbers)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) & v3_measur11(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_finseq_1(B, k9_funct_2(A, k6_numbers)) =>  (v1_measur11(B, A) => v3_measur11(B, A)) ) ) ) ) ).
fof(cc2_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_finseq_1(B, k9_funct_2(A, k6_numbers)) =>  (v2_measur11(B, A) => v3_measur11(B, A)) ) ) ) ) ).
fof(fc1_measur11, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v3_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) )  =>  (v1_funct_1(k7_mesfunc1(A, B)) & v4_mesfunc5(k7_mesfunc1(A, B))) ) ) ).
fof(fc2_measur11, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v4_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) )  =>  (v1_funct_1(k7_mesfunc1(A, B)) & v3_mesfunc5(k7_mesfunc1(A, B))) ) ) ).
fof(t1_measur11, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_prob_2(A) & v1_finseq_1(A)) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (r1_xxreal_0(C, B))  => r1_xboole_0(k3_tarski(k10_xtuple_0(k16_finseq_1(B, A))), k1_funct_1(A, C))) ) ) ) ) ) ) ).
fof(t2_measur11, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, C) => r1_xxreal_0(k3_finseq_1(k16_finseq_1(B, A)), k3_finseq_1(k16_finseq_1(C, A)))) ) ) ) ) ) ) ).
fof(t3_measur11, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) => k2_xboole_0(k3_tarski(k10_xtuple_0(k16_finseq_1(B, A))), k1_funct_1(A, k1_nat_1(B, 1)))=k3_tarski(k10_xtuple_0(k16_finseq_1(k1_nat_1(B, 1), A)))) ) ) ) ).
fof(t4_measur11, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_prob_2(A) & v1_finseq_1(A)) ) )  =>  (! [B] :  (v7_ordinal1(B) => r1_xboole_0(k3_card_3(k16_finseq_1(B, A)), k1_funct_1(A, k1_nat_1(B, 1)))) ) ) ) ).
fof(t5_measur11, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( (v1_finsub_1(A) &  (r2_tarski(k1_xboole_0, A) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => r2_tarski(k1_funct_1(B, C), A)) ) ) ) )  => r2_tarski(k3_card_3(B), A)) ) ) ) ).
fof(d1_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, k4_partfun1(A, k6_numbers)) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m2_finseq_1(D, k6_numbers) =>  (D=k4_measur11(A, B, C) <=>  (k4_finseq_1(D)=k4_finseq_1(B) &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r2_tarski(E, k4_finseq_1(D)) => k12_supinf_2(D, E)=k1_funct_1(k1_funct_1(B, E), C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  (! [C] :  (m2_finseq_1(C, B) =>  (! [D] :  (m2_finseq_1(D, k4_partfun1(A, k6_numbers)) =>  ( (k4_finseq_1(C)=k4_finseq_1(D) &  (v1_prob_2(C) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) => k1_funct_1(D, E)=k1_measur11(k1_funct_1(C, E), A)) ) ) ) )  =>  (! [E] :  (m1_subset_1(E, A) => k12_supinf_2(k1_measur11(k3_card_3(C), A), E)=k4_extreal1(k4_measur11(A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  => k9_prob_1(k2_zfmisc_1(A, B), k2_srings_3(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)))=k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(d2_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_measure9(G, k2_zfmisc_1(A, B), k3_measur10(A, B, C, D), k6_measur10(A, B, C, D, E, F)) =>  (G=k5_measur11(A, B, C, D, E, F) <=>  (! [H] :  (r2_tarski(H, k4_srings_3(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [I] :  ( (v1_prob_2(I) & m2_finseq_1(I, k3_measur10(A, B, C, D)))  =>  (H=k3_card_3(I) => k12_supinf_2(G, H)=k4_extreal1(k4_finseqop(k3_measur10(A, B, C, D), k6_numbers, I, k6_measur10(A, B, C, D, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  => k6_measur11(A, B, C, D, E, F)=k2_partfun1(k1_measure4(k2_zfmisc_1(A, B), k9_measure8(k2_zfmisc_1(A, B), k4_srings_3(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), k5_measur11(A, B, C, D, E, F))), k6_numbers, k3_measure4(k2_zfmisc_1(A, B), k9_measure8(k2_zfmisc_1(A, B), k4_srings_3(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), k5_measur11(A, B, C, D, E, F))), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (v1_funct_1(k6_measur11(A, B, C, D, E, F)) &  (v1_funct_2(k6_measur11(A, B, C, D, E, F), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), k6_numbers) &  (v10_valued_0(k6_measur11(A, B, C, D, E, F)) &  (v6_supinf_2(k6_measur11(A, B, C, D, E, F)) &  (v4_measure1(k6_measur11(A, B, C, D, E, F), k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) & m1_subset_1(k6_measur11(A, B, C, D, E, F), k1_zfmisc_1(k2_zfmisc_1(k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), k6_numbers)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  (m2_measure8(E, A, C) =>  (! [F] :  (m2_measure8(F, B, D) =>  (! [G] :  (v7_ordinal1(G) => m2_subset_1(k8_mcart_1(A, B, k1_prob_2(A, k9_setfam_1(A), E, G), k1_prob_2(B, k9_setfam_1(B), F, G)), k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_measur11, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(B))))) )  =>  (! [E] :  (v7_ordinal1(E) =>  ( (v3_prob_1(C) & v3_prob_1(D))  => r1_relset_1(A, B, k8_mcart_1(A, B, k1_prob_2(A, k9_setfam_1(A), C, E), k1_prob_2(B, k9_setfam_1(B), D, E)), k8_mcart_1(A, B, k1_prob_2(A, k9_setfam_1(A), C, k1_nat_1(E, 1)), k1_prob_2(B, k9_setfam_1(B), D, k1_nat_1(E, 1))))) ) ) ) ) ) ) ) ) ).
fof(t11_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(A), C) =>  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(B), D) => k12_supinf_2(k5_measur11(A, B, C, D, E, F), k8_mcart_1(A, B, G, H))=k1_extreal1(k12_supinf_2(E, G), k12_supinf_2(F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_measure8(G, A, C) =>  (! [H] :  (m2_measure8(H, B, D) =>  (! [I] :  (v7_ordinal1(I) => k12_supinf_2(k5_measur11(A, B, C, D, E, F), k8_mcart_1(A, B, k1_prob_2(A, k9_setfam_1(A), G, I), k1_prob_2(B, k9_setfam_1(B), H, I)))=k1_extreal1(k12_supinf_2(E, k1_prob_2(A, k9_setfam_1(A), G, I)), k12_supinf_2(F, k1_prob_2(B, k9_setfam_1(B), H, I)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_finseq_1(G, C) =>  (! [H] :  (m2_finseq_1(H, D) =>  (! [I] :  (v7_ordinal1(I) =>  ( (r2_tarski(I, k4_finseq_1(G)) & r2_tarski(I, k4_finseq_1(H)))  => k12_supinf_2(k5_measur11(A, B, C, D, E, F), k8_mcart_1(A, B, k8_prob_3(A, C, G, I), k8_prob_3(B, D, H, I)))=k1_extreal1(k12_supinf_2(E, k8_prob_3(A, C, G, I)), k12_supinf_2(F, k8_prob_3(B, D, H, I)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B))) => k12_supinf_2(k9_measure8(k2_zfmisc_1(A, B), k4_srings_3(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), k5_measur11(A, B, C, D, E, F)), G)=k7_supinf_2(k5_measure8(k2_zfmisc_1(A, B), k4_srings_3(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), k5_measur11(A, B, C, D, E, F), G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  => r1_tarski(k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), k1_measure4(k2_zfmisc_1(A, B), k9_measure8(k2_zfmisc_1(A, B), k4_srings_3(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), k5_measur11(A, B, C, D, E, F))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(A), C) =>  (! [I] :  (m2_subset_1(I, k1_zfmisc_1(B), D) =>  (r2_relset_1(A, B, G, k8_mcart_1(A, B, H, I)) => k12_supinf_2(k6_measur11(A, B, C, D, E, F), G)=k1_extreal1(k12_supinf_2(E, H), k12_supinf_2(F, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_measure8(G, A, C) =>  (! [H] :  (m2_measure8(H, B, D) =>  (! [I] :  (v7_ordinal1(I) => k12_supinf_2(k6_measur11(A, B, C, D, E, F), k8_mcart_1(A, B, k1_prob_2(A, k9_setfam_1(A), G, I), k1_prob_2(B, k9_setfam_1(B), H, I)))=k1_extreal1(k12_supinf_2(E, k1_prob_2(A, k9_setfam_1(A), G, I)), k12_supinf_2(F, k1_prob_2(B, k9_setfam_1(B), H, I)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (r1_xboole_0(G, H) => k12_supinf_2(k6_measur11(A, B, C, D, E, F), k1_measure1(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), G, H))=k3_supinf_2(k12_supinf_2(k6_measur11(A, B, C, D, E, F), G), k12_supinf_2(k6_measur11(A, B, C, D, E, F), H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_measur11, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k9_setfam_1(B)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(B))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, k9_setfam_1(k2_zfmisc_1(A, B))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k2_zfmisc_1(A, B)))))) )  =>  ( (v3_prob_1(E) &  (k4_kurato_0(A, E)=C &  (v3_prob_1(F) &  (k4_kurato_0(B, F)=D &  (! [H] :  (v7_ordinal1(H) => r2_relset_1(A, B, k1_prob_2(k2_zfmisc_1(A, B), k9_setfam_1(k2_zfmisc_1(A, B)), G, H), k8_mcart_1(A, B, k1_prob_2(A, k9_setfam_1(A), E, H), k1_prob_2(B, k9_setfam_1(B), F, H)))) ) ) ) ) )  => k4_kurato_0(k2_zfmisc_1(A, B), G)=k2_zfmisc_1(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_measur11, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [E] :  (r1_relset_1(A, B, C, D) => r1_tarski(k7_measur11(A, B, C, E), k7_measur11(A, B, D, E))) ) ) ) ) ) ) ) ) ).
fof(t21_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [E] :  (r1_relset_1(A, B, C, D) => r1_tarski(k8_measur11(A, B, C, E), k8_measur11(A, B, D, E))) ) ) ) ) ) ) ) ) ).
fof(t22_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) =>  (! [E] :  ( (r2_tarski(E, C) => k7_measur11(A, B, k8_mcart_1(A, B, C, D), E)=D)  &  ( ( ~ (r2_tarski(E, C))  => k7_measur11(A, B, k8_mcart_1(A, B, C, D), E)=k1_xboole_0)  &  ( (r2_tarski(E, D) => k8_measur11(A, B, k8_mcart_1(A, B, C, D), E)=C)  &  ( ~ (r2_tarski(E, D))  => k8_measur11(A, B, k8_mcart_1(A, B, C, D), E)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [D] :  ( ( ~ (r2_tarski(D, A))  => k7_measur11(A, B, C, D)=k1_xboole_0)  &  ( ~ (r2_tarski(D, B))  => k8_measur11(A, B, C, D)=k1_xboole_0) ) ) ) ) ) ) ) ) ).
fof(t24_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (k7_measur11(A, B, k1_subset_1(k2_zfmisc_1(A, B)), C)=k1_xboole_0 &  (k8_measur11(A, B, k1_subset_1(k2_zfmisc_1(A, B)), C)=k1_xboole_0 &  ( (r2_tarski(C, A) => k7_measur11(A, B, k2_subset_1(k2_zfmisc_1(A, B)), C)=B)  &  (r2_tarski(C, B) => k8_measur11(A, B, k2_subset_1(k2_zfmisc_1(A, B)), C)=A) ) ) ) ) ) ) ) ) ).
fof(t25_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [D] :  ( (r2_tarski(D, A) => k7_measur11(A, B, k6_subset_1(k2_zfmisc_1(A, B), C), D)=k6_subset_1(B, k7_measur11(A, B, C, D)))  &  (r2_tarski(D, B) => k8_measur11(A, B, k6_subset_1(k2_zfmisc_1(A, B), C), D)=k6_subset_1(A, k8_measur11(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t26_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [E] :  (k7_measur11(A, B, k4_subset_1(k2_zfmisc_1(A, B), C, D), E)=k4_subset_1(B, k7_measur11(A, B, C, E), k7_measur11(A, B, D, E)) & k8_measur11(A, B, k4_subset_1(k2_zfmisc_1(A, B), C, D), E)=k4_subset_1(A, k8_measur11(A, B, C, E), k8_measur11(A, B, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t27_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [E] :  (k7_measur11(A, B, k9_subset_1(k2_zfmisc_1(A, B), C, D), E)=k9_subset_1(B, k7_measur11(A, B, C, E), k7_measur11(A, B, D, E)) & k8_measur11(A, B, k9_subset_1(k2_zfmisc_1(A, B), C, D), E)=k9_subset_1(A, k8_measur11(A, B, C, E), k8_measur11(A, B, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t28_measur11, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, k9_setfam_1(k2_zfmisc_1(A, B))) =>  (! [D] :  (m2_finseq_1(D, k9_setfam_1(B)) =>  (! [E] :  ( (k4_finseq_1(C)=k4_finseq_1(D) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k4_finseq_1(D)) => k8_prob_3(B, k9_setfam_1(B), D, F)=k7_measur11(A, B, k8_prob_3(k2_zfmisc_1(A, B), k9_setfam_1(k2_zfmisc_1(A, B)), C, F), E)) ) ) )  => k7_measur11(A, B, k5_setfam_1(k2_zfmisc_1(A, B), k2_relset_1(k9_setfam_1(k2_zfmisc_1(A, B)), C)), E)=k5_setfam_1(B, k2_relset_1(k9_setfam_1(B), D))) ) ) ) ) ) ) ) ) ).
fof(t29_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (m2_finseq_1(C, k9_setfam_1(k2_zfmisc_1(A, B))) =>  (! [D] :  (m2_finseq_1(D, k9_setfam_1(A)) =>  (! [E] :  ( (k4_finseq_1(C)=k4_finseq_1(D) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k4_finseq_1(D)) => k8_prob_3(A, k9_setfam_1(A), D, F)=k8_measur11(A, B, k8_prob_3(k2_zfmisc_1(A, B), k9_setfam_1(k2_zfmisc_1(A, B)), C, F), E)) ) ) )  => k8_measur11(A, B, k5_setfam_1(k2_zfmisc_1(A, B), k2_relset_1(k9_setfam_1(k2_zfmisc_1(A, B)), C)), E)=k5_setfam_1(A, k2_relset_1(k9_setfam_1(A), D))) ) ) ) ) ) ) ) ) ).
fof(t30_measur11, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(k2_zfmisc_1(A, B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k2_zfmisc_1(A, B)))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k9_setfam_1(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(B))))) )  =>  ( (! [F] :  (v7_ordinal1(F) => k1_prob_2(B, k9_setfam_1(B), E, F)=k7_measur11(A, B, k1_prob_2(k2_zfmisc_1(A, B), k9_setfam_1(k2_zfmisc_1(A, B)), D, F), C)) )  => k7_measur11(A, B, k2_measure4(k2_zfmisc_1(A, B), k9_setfam_1(k2_zfmisc_1(A, B)), k1_measure3(k2_zfmisc_1(A, B), k9_setfam_1(k2_zfmisc_1(A, B)), D)), C)=k2_measure4(B, k9_setfam_1(B), k1_measure3(B, k9_setfam_1(B), E))) ) ) ) ) ) ) ) ) ).
fof(t31_measur11, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(k2_zfmisc_1(A, B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k2_zfmisc_1(A, B)))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k9_setfam_1(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(B))))) )  =>  ( (! [F] :  (v7_ordinal1(F) => k1_prob_2(B, k9_setfam_1(B), E, F)=k7_measur11(A, B, k1_prob_2(k2_zfmisc_1(A, B), k9_setfam_1(k2_zfmisc_1(A, B)), D, F), C)) )  => k7_measur11(A, B, k6_setfam_1(k2_zfmisc_1(A, B), k1_measure3(k2_zfmisc_1(A, B), k9_setfam_1(k2_zfmisc_1(A, B)), D)), C)=k6_setfam_1(B, k1_measure3(B, k9_setfam_1(B), E))) ) ) ) ) ) ) ) ) ).
fof(t32_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(k2_zfmisc_1(A, B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k2_zfmisc_1(A, B)))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  ( (! [F] :  (v7_ordinal1(F) => k1_prob_2(A, k9_setfam_1(A), E, F)=k8_measur11(A, B, k1_prob_2(k2_zfmisc_1(A, B), k9_setfam_1(k2_zfmisc_1(A, B)), D, F), C)) )  => k8_measur11(A, B, k2_measure4(k2_zfmisc_1(A, B), k9_setfam_1(k2_zfmisc_1(A, B)), k1_measure3(k2_zfmisc_1(A, B), k9_setfam_1(k2_zfmisc_1(A, B)), D)), C)=k2_measure4(A, k9_setfam_1(A), k1_measure3(A, k9_setfam_1(A), E))) ) ) ) ) ) ) ) ) ).
fof(t33_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(k2_zfmisc_1(A, B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k2_zfmisc_1(A, B)))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  ( (! [F] :  (v7_ordinal1(F) => k1_prob_2(A, k9_setfam_1(A), E, F)=k8_measur11(A, B, k1_prob_2(k2_zfmisc_1(A, B), k9_setfam_1(k2_zfmisc_1(A, B)), D, F), C)) )  => k8_measur11(A, B, k6_setfam_1(k2_zfmisc_1(A, B), k1_measure3(k2_zfmisc_1(A, B), k9_setfam_1(k2_zfmisc_1(A, B)), D)), C)=k6_setfam_1(A, k1_measure3(A, k9_setfam_1(A), E))) ) ) ) ) ) ) ) ) ).
fof(t34_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (! [D] :  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (k1_binop_1(k1_measur11(E, k2_zfmisc_1(A, B)), C, D)=k12_supinf_2(k1_measur11(k7_measur11(A, B, E, C), B), D) & k1_binop_1(k1_measur11(E, k2_zfmisc_1(A, B)), C, D)=k12_supinf_2(k1_measur11(k8_measur11(A, B, E, D), A), C)) ) ) ) ) ) ) ) ) ).
fof(t35_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [E] :  (r1_xboole_0(C, D) =>  (r1_xboole_0(k7_measur11(A, B, C, E), k7_measur11(A, B, D, E)) & r1_xboole_0(k8_measur11(A, B, C, E), k8_measur11(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_prob_2(C) & m2_finseq_1(C, k9_setfam_1(k2_zfmisc_1(A, B))))  =>  (! [D] :  ( (? [E] :  ( (v1_prob_2(E) & m2_finseq_1(E, k9_setfam_1(A)))  &  (k4_finseq_1(C)=k4_finseq_1(E) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k4_finseq_1(E)) => k8_prob_3(A, k9_setfam_1(A), E, F)=k8_measur11(A, B, k8_prob_3(k2_zfmisc_1(A, B), k9_setfam_1(k2_zfmisc_1(A, B)), C, F), D)) ) ) ) ) )  &  (? [E] :  ( (v1_prob_2(E) & m2_finseq_1(E, k9_setfam_1(B)))  &  (k4_finseq_1(C)=k4_finseq_1(E) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k4_finseq_1(E)) => k8_prob_3(B, k9_setfam_1(B), E, F)=k7_measur11(A, B, k8_prob_3(k2_zfmisc_1(A, B), k9_setfam_1(k2_zfmisc_1(A, B)), C, F), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(k2_zfmisc_1(A, B))) &  (v1_prob_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k2_zfmisc_1(A, B)))))) ) )  =>  (! [D] :  ( (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k9_setfam_1(A)) &  (v1_prob_2(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  &  (! [F] :  (v7_ordinal1(F) => k1_prob_2(A, k9_setfam_1(A), E, F)=k8_measur11(A, B, k1_prob_2(k2_zfmisc_1(A, B), k9_setfam_1(k2_zfmisc_1(A, B)), C, F), D)) ) ) )  &  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k9_setfam_1(B)) &  (v1_prob_2(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(B))))) ) )  &  (! [F] :  (v7_ordinal1(F) => k1_prob_2(B, k9_setfam_1(B), E, F)=k7_measur11(A, B, k1_prob_2(k2_zfmisc_1(A, B), k9_setfam_1(k2_zfmisc_1(A, B)), C, F), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (! [D] :  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (r1_xboole_0(E, F) =>  (k1_binop_1(k1_measur11(k4_subset_1(k2_zfmisc_1(A, B), E, F), k2_zfmisc_1(A, B)), C, D)=k3_supinf_2(k12_supinf_2(k1_measur11(k7_measur11(A, B, E, C), B), D), k12_supinf_2(k1_measur11(k7_measur11(A, B, F, C), B), D)) & k1_binop_1(k1_measur11(k4_subset_1(k2_zfmisc_1(A, B), E, F), k2_zfmisc_1(A, B)), C, D)=k3_supinf_2(k12_supinf_2(k1_measur11(k8_measur11(A, B, E, D), A), C), k12_supinf_2(k1_measur11(k8_measur11(A, B, F, D), A), C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_measur11, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(k2_zfmisc_1(A, B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k2_zfmisc_1(A, B)))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k9_setfam_1(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(B))))) )  =>  ( (v3_prob_1(D) &  (! [F] :  (v7_ordinal1(F) => k1_prob_2(B, k9_setfam_1(B), E, F)=k7_measur11(A, B, k1_prob_2(k2_zfmisc_1(A, B), k9_setfam_1(k2_zfmisc_1(A, B)), D, F), C)) ) )  => v3_prob_1(E)) ) ) ) ) ) ) ) ) ).
fof(t40_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(k2_zfmisc_1(A, B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k2_zfmisc_1(A, B)))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  ( (v3_prob_1(D) &  (! [F] :  (v7_ordinal1(F) => k1_prob_2(A, k9_setfam_1(A), E, F)=k8_measur11(A, B, k1_prob_2(k2_zfmisc_1(A, B), k9_setfam_1(k2_zfmisc_1(A, B)), D, F), C)) ) )  => v3_prob_1(E)) ) ) ) ) ) ) ) ) ).
fof(t41_measur11, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(k2_zfmisc_1(A, B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k2_zfmisc_1(A, B)))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k9_setfam_1(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(B))))) )  =>  ( (v2_prob_1(D) &  (! [F] :  (v7_ordinal1(F) => k1_prob_2(B, k9_setfam_1(B), E, F)=k7_measur11(A, B, k1_prob_2(k2_zfmisc_1(A, B), k9_setfam_1(k2_zfmisc_1(A, B)), D, F), C)) ) )  => v2_prob_1(E)) ) ) ) ) ) ) ) ) ).
fof(t42_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(k2_zfmisc_1(A, B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k2_zfmisc_1(A, B)))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  ( (v2_prob_1(D) &  (! [F] :  (v7_ordinal1(F) => k1_prob_2(A, k9_setfam_1(A), E, F)=k8_measur11(A, B, k1_prob_2(k2_zfmisc_1(A, B), k9_setfam_1(k2_zfmisc_1(A, B)), D, F), C)) ) )  => v2_prob_1(E)) ) ) ) ) ) ) ) ) ).
fof(t43_measur11, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(k2_zfmisc_1(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k2_zfmisc_1(A, B)))))) )  =>  (! [D] :  ~ ( (v3_prob_1(C) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k9_setfam_1(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(B))))) )  =>  ~ ( (v3_prob_1(E) &  (! [F] :  (v7_ordinal1(F) => k1_prob_2(B, k9_setfam_1(B), E, F)=k7_measur11(A, B, k1_prob_2(k2_zfmisc_1(A, B), k9_setfam_1(k2_zfmisc_1(A, B)), C, F), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(k2_zfmisc_1(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k2_zfmisc_1(A, B)))))) )  =>  (! [D] :  ~ ( (v3_prob_1(C) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  ~ ( (v3_prob_1(E) &  (! [F] :  (v7_ordinal1(F) => k1_prob_2(A, k9_setfam_1(A), E, F)=k8_measur11(A, B, k1_prob_2(k2_zfmisc_1(A, B), k9_setfam_1(k2_zfmisc_1(A, B)), C, F), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_measur11, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(k2_zfmisc_1(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k2_zfmisc_1(A, B)))))) )  =>  (! [D] :  ~ ( (v2_prob_1(C) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k9_setfam_1(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(B))))) )  =>  ~ ( (v2_prob_1(E) &  (! [F] :  (v7_ordinal1(F) => k1_prob_2(B, k9_setfam_1(B), E, F)=k7_measur11(A, B, k1_prob_2(k2_zfmisc_1(A, B), k9_setfam_1(k2_zfmisc_1(A, B)), C, F), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(k2_zfmisc_1(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k2_zfmisc_1(A, B)))))) )  =>  (! [D] :  ~ ( (v2_prob_1(C) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  ~ ( (v2_prob_1(E) &  (! [F] :  (v7_ordinal1(F) => k1_prob_2(A, k9_setfam_1(A), E, F)=k8_measur11(A, B, k1_prob_2(k2_zfmisc_1(A, B), k9_setfam_1(k2_zfmisc_1(A, B)), C, F), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  ( (! [F] : r2_tarski(k7_measur11(A, B, E, F), D))  &  (! [F] : r2_tarski(k8_measur11(A, B, E, F), C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [F] : k9_measur11(A, B, C, D, E, F)=k7_measur11(A, B, E, F)) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [F] : k10_measur11(A, B, C, D, E, F)=k8_measur11(A, B, E, F)) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  (m2_finseq_1(E, k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [F] :  (m2_finseq_1(F, D) =>  (! [G] :  ( (k4_finseq_1(E)=k4_finseq_1(F) &  (! [H] :  (v7_ordinal1(H) =>  (r2_tarski(H, k4_finseq_1(F)) => k8_prob_3(B, D, F, H)=k9_measur11(A, B, C, D, k8_prob_3(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), E, H), G)) ) ) )  => k9_measur11(A, B, C, D, k2_measur11(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), E), G)=k2_measur11(B, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  (m2_finseq_1(E, k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [F] :  (m2_finseq_1(F, C) =>  (! [G] :  ( (k4_finseq_1(E)=k4_finseq_1(F) &  (! [H] :  (v7_ordinal1(H) =>  (r2_tarski(H, k4_finseq_1(F)) => k8_prob_3(A, C, F, H)=k10_measur11(A, B, C, D, k8_prob_3(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), E, H), G)) ) ) )  => k10_measur11(A, B, C, D, k2_measur11(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), E), G)=k2_measur11(A, C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, D, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, B, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), C) =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(B), D) =>  (! [H] :  (m1_subset_1(H, A) => k1_extreal1(k12_supinf_2(E, G), k12_supinf_2(k1_measur11(F, A), H))=k7_mesfunc5(B, D, E, k5_mesfunc9(A, B, k6_numbers, k1_measur11(k8_mcart_1(A, B, F, G), k2_zfmisc_1(A, B)), H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, D, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, B, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(A), C) =>  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(B), D) =>  (! [I] :  (m1_subset_1(I, A) =>  (r2_relset_1(A, B, F, k8_mcart_1(A, B, G, H)) => k12_supinf_2(E, k9_measur11(A, B, C, D, F, I))=k1_extreal1(k12_supinf_2(E, H), k12_supinf_2(k1_measur11(G, A), I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), C) =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(B), D) =>  (! [H] :  (m1_subset_1(H, B) => k1_extreal1(k12_supinf_2(E, F), k12_supinf_2(k1_measur11(G, B), H))=k7_mesfunc5(A, C, E, k6_mesfunc9(A, B, k6_numbers, k1_measur11(k8_mcart_1(A, B, F, G), k2_zfmisc_1(A, B)), H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(A), C) =>  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(B), D) =>  (! [I] :  (m1_subset_1(I, B) =>  (r2_relset_1(A, B, F, k8_mcart_1(A, B, G, H)) => k12_supinf_2(E, k10_measur11(A, B, C, D, F, I))=k1_extreal1(k12_supinf_2(E, G), k12_supinf_2(k1_measur11(H, B), I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_measur11, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, k9_funct_2(A, k6_numbers)) =>  (v1_measur11(B, A) <=>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => v4_mesfunc5(k1_funct_1(B, C))) ) ) ) ) ) ) ).
fof(d9_measur11, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, k9_funct_2(A, k6_numbers)) =>  (v2_measur11(B, A) <=>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => v3_mesfunc5(k1_funct_1(B, C))) ) ) ) ) ) ) ).
fof(t56_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (m2_finseq_1(k12_finseq_1(k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)), k8_funcop_1(k4_ordinal1, A, k5_numbers)), k9_funct_2(A, k6_numbers)) &  ( (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k4_finseq_1(k12_finseq_1(k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)), k8_funcop_1(k4_ordinal1, A, k5_numbers)))) => v4_mesfunc5(k4_prob_3(k2_zfmisc_1(A, k4_ordinal1), k12_finseq_1(k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)), k8_funcop_1(k4_ordinal1, A, k5_numbers)), B))) ) )  &  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k4_finseq_1(k12_finseq_1(k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)), k8_funcop_1(k4_ordinal1, A, k5_numbers)))) => v3_mesfunc5(k4_prob_3(k2_zfmisc_1(A, k4_ordinal1), k12_finseq_1(k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)), k8_funcop_1(k4_ordinal1, A, k5_numbers)), B))) ) ) ) ) ) ) ).
fof(t57_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_measur11(B, A) & m2_finseq_1(B, k9_funct_2(A, k6_numbers)))  =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => k8_relset_1(A, k6_numbers, k11_measur11(A, k6_numbers, k9_funct_2(A, k6_numbers), B, C), k1_tarski(k1_xxreal_0))=k1_xboole_0) ) ) ) ) ) ) ).
fof(t58_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v2_measur11(B, A) & m2_finseq_1(B, k9_funct_2(A, k6_numbers)))  =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => k8_relset_1(A, k6_numbers, k11_measur11(A, k6_numbers, k9_funct_2(A, k6_numbers), B, C), k1_tarski(k2_xxreal_0))=k1_xboole_0) ) ) ) ) ) ) ).
fof(t59_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, k9_funct_2(A, k6_numbers)) =>  ( (v1_measur11(B, A) | v2_measur11(B, A))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(C, k4_finseq_1(B)) & r2_tarski(D, k4_finseq_1(B)))  => k1_relset_1(A, k3_mesfunc1(A, k11_measur11(A, k6_numbers, k9_funct_2(A, k6_numbers), B, C), k11_measur11(A, k6_numbers, k9_funct_2(A, k6_numbers), B, D)))=A) ) ) ) ) ) ) ) ) ) ).
fof(d10_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, k9_funct_2(A, k6_numbers)) =>  (v3_measur11(B, A) <=>  (v1_measur11(B, A) | v2_measur11(B, A)) ) ) ) ) ) ).
fof(d11_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_measur11(B, A) & m2_finseq_1(B, k9_funct_2(A, k6_numbers)))  =>  (! [C] :  (m2_finseq_1(C, k9_funct_2(A, k6_numbers)) =>  (C=k12_measur11(A, B) <=>  (k3_finseq_1(B)=k3_finseq_1(C) &  (k1_funct_1(B, 1)=k1_funct_1(C, 1) &  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(1, D) =>  (r1_xxreal_0(k3_finseq_1(B), D) | k1_funct_1(C, k1_nat_1(D, 1))=k3_mesfunc1(A, k11_measur11(A, k6_numbers, k9_funct_2(A, k6_numbers), C, D), k11_measur11(A, k6_numbers, k9_funct_2(A, k6_numbers), B, k1_nat_1(D, 1)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_measur11(B, A) & m2_finseq_1(B, k9_funct_2(A, k6_numbers)))  => v1_measur11(k12_measur11(A, B), A)) ) ) ) ).
fof(t61_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v2_measur11(B, A) & m2_finseq_1(B, k9_funct_2(A, k6_numbers)))  => v2_measur11(k12_measur11(A, B), A)) ) ) ) ).
fof(t62_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (v1_xxreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k6_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  ( (! [E] :  (m1_subset_1(E, A) => k12_supinf_2(D, E)=k4_xxreal_3(C, k12_supinf_2(k1_measur11(B, A), E))) )  =>  ( (C=k1_xxreal_0 => r2_funct_2(A, k6_numbers, D, k5_measur10(B, A)))  &  ( (C=k2_xxreal_0 => r2_funct_2(A, k6_numbers, D, k1_dblseq_3(A, k5_measur10(B, A))))  &  ~ ( ( ~ (C=k1_xxreal_0)  &  ( ~ (C=k2_xxreal_0)  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (E=C & r2_relset_1(A, k6_numbers, D, k6_mesfunc1(A, k1_measur11(B, A), E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  ( (r1_mesfunc1(A, B, C, D) & r1_tarski(D, k1_relset_1(A, C)))  => r1_mesfunc1(A, B, k7_mesfunc1(A, C), D)) ) ) ) ) ) ) ) ) ).
fof(t64_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (r2_relset_1(A, k6_numbers, k7_mesfunc1(A, k3_mesfunc1(A, B, C)), k3_mesfunc1(A, k7_mesfunc1(A, B), k7_mesfunc1(A, C))) &  (r2_relset_1(A, k6_numbers, k7_mesfunc1(A, k4_mesfunc1(A, B, C)), k3_mesfunc1(A, k7_mesfunc1(A, B), C)) &  (r2_relset_1(A, k6_numbers, k7_mesfunc1(A, k4_mesfunc1(A, B, C)), k4_mesfunc1(A, C, B)) &  (r2_relset_1(A, k6_numbers, k7_mesfunc1(A, k3_mesfunc1(A, k7_mesfunc1(A, B), C)), k4_mesfunc1(A, B, C)) & r2_relset_1(A, k6_numbers, k7_mesfunc1(A, k3_mesfunc1(A, k7_mesfunc1(A, B), C)), k3_mesfunc1(A, B, k7_mesfunc1(A, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t65_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v4_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v4_mesfunc5(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  ( (r1_mesfunc1(A, B, C, E) &  (r1_mesfunc1(A, B, D, E) & r1_tarski(E, k1_relset_1(A, k13_measur11(A, C, D)))) )  => r1_mesfunc1(A, B, k13_measur11(A, C, D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(A), B) =>  (! [D] :  ( (v1_funct_1(D) &  (v4_mesfunc5(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v3_mesfunc5(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  ( (r1_mesfunc1(A, B, D, C) &  (r1_mesfunc1(A, B, E, C) & r1_tarski(C, k1_relset_1(A, k15_measur11(A, D, E)))) )  => r1_mesfunc1(A, B, k15_measur11(A, D, E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(A), B) =>  (! [D] :  ( (v1_funct_1(D) &  (v3_mesfunc5(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v4_mesfunc5(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  ( (r1_mesfunc1(A, B, D, C) &  (r1_mesfunc1(A, B, E, C) & r1_tarski(C, k1_relset_1(A, k16_measur11(A, D, E)))) )  => r1_mesfunc1(A, B, k16_measur11(A, D, E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(A), B) =>  (! [D] :  ( (v3_measur11(D, A) & m2_finseq_1(D, k9_funct_2(A, k6_numbers)))  =>  ( (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) => r1_mesfunc1(A, B, k11_measur11(A, k6_numbers, k9_funct_2(A, k6_numbers), D, E), C)) ) )  =>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) => r1_mesfunc1(A, B, k11_measur11(A, k6_numbers, k9_funct_2(A, k6_numbers), k12_measur11(A, D), E), C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t69_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(A), C) =>  (! [I] :  (m2_subset_1(I, k1_zfmisc_1(B), D) =>  (! [J] :  (m1_subset_1(J, A) =>  (! [K] :  (m1_subset_1(K, B) =>  (r2_relset_1(A, B, G, k8_mcart_1(A, B, H, I)) =>  (k7_mesfunc5(B, D, F, k5_mesfunc9(A, B, k6_numbers, k1_measur11(G, k2_zfmisc_1(A, B)), J))=k1_extreal1(k12_supinf_2(F, k9_measur11(A, B, C, D, G, J)), k12_supinf_2(k1_measur11(H, A), J)) & k7_mesfunc5(A, C, E, k6_mesfunc9(A, B, k6_numbers, k1_measur11(G, k2_zfmisc_1(A, B)), K))=k1_extreal1(k12_supinf_2(E, k10_measur11(A, B, C, D, G, K)), k12_supinf_2(k1_measur11(I, B), K))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  ~ ( (r2_tarski(E, k4_srings_3(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) &  (! [F] :  ( (v1_prob_2(F) & m2_finseq_1(F, k3_measur10(A, B, C, D)))  =>  (! [G] :  (m2_finseq_1(G, C) =>  (! [H] :  (m2_finseq_1(H, D) =>  ~ ( (k3_finseq_1(F)=k3_finseq_1(G) &  (k3_finseq_1(F)=k3_finseq_1(H) &  (E=k3_card_3(F) &  ( (! [I] :  (v7_ordinal1(I) =>  (r2_tarski(I, k4_finseq_1(F)) =>  (k9_xtuple_0(k1_funct_1(F, I))=k8_prob_3(A, C, G, I) & k10_xtuple_0(k1_funct_1(F, I))=k8_prob_3(B, D, H, I)) ) ) )  &  (! [I] :  (v7_ordinal1(I) =>  (! [J] :  (! [K] :  ( (r2_tarski(I, k4_finseq_1(F)) &  (r2_tarski(J, A) & r2_tarski(K, B)) )  => k1_binop_1(k1_measur11(k1_funct_1(F, I), k2_zfmisc_1(A, B)), J, K)=k1_extreal1(k12_supinf_2(k1_measur11(k8_prob_3(A, C, G, I), A), J), k12_supinf_2(k1_measur11(k8_prob_3(B, D, H, I), B), K))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [H] :  (m1_subset_1(H, A) =>  (! [I] :  (m1_subset_1(I, B) =>  (! [J] :  (m2_subset_1(J, k1_zfmisc_1(A), C) =>  (! [K] :  (m2_subset_1(K, k1_zfmisc_1(B), D) =>  (k12_supinf_2(E, k2_measure1(A, C, k10_measur11(A, B, C, D, G, I), J))=k7_mesfunc5(A, C, E, k6_mesfunc9(A, B, k6_numbers, k1_measur11(k8_subset_1(k2_zfmisc_1(A, B), G, k2_zfmisc_1(J, B)), k2_zfmisc_1(A, B)), I)) & k12_supinf_2(F, k2_measure1(B, D, k9_measur11(A, B, C, D, G, H), K))=k7_mesfunc5(B, D, F, k5_mesfunc9(A, B, k6_numbers, k1_measur11(k8_subset_1(k2_zfmisc_1(A, B), G, k2_zfmisc_1(A, K)), k2_zfmisc_1(A, B)), H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t72_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [H] :  (m1_subset_1(H, A) =>  (! [I] :  (m1_subset_1(I, B) =>  (k12_supinf_2(E, k10_measur11(A, B, C, D, G, I))=k7_mesfunc5(A, C, E, k6_mesfunc9(A, B, k6_numbers, k1_measur11(G, k2_zfmisc_1(A, B)), I)) & k12_supinf_2(F, k9_measur11(A, B, C, D, G, H))=k7_mesfunc5(B, D, F, k5_mesfunc9(A, B, k6_numbers, k1_measur11(G, k2_zfmisc_1(A, B)), H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t73_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, D, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, B, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_prob_2(F) & m2_finseq_1(F, k3_measur10(A, B, C, D)))  =>  (! [G] :  (m1_subset_1(G, A) =>  (! [H] :  (v7_ordinal1(H) =>  (! [I] :  (m2_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [J] :  (m2_subset_1(J, k1_zfmisc_1(A), C) =>  (! [K] :  (m2_subset_1(K, k1_zfmisc_1(B), D) =>  ( (r2_tarski(H, k4_finseq_1(F)) &  (k1_funct_1(F, H)=I & r2_relset_1(A, B, I, k8_mcart_1(A, B, J, K))) )  => k7_mesfunc5(B, D, E, k5_mesfunc9(A, B, k6_numbers, k1_measur11(k1_funct_1(F, H), k2_zfmisc_1(A, B)), G))=k1_extreal1(k12_supinf_2(E, k9_measur11(A, B, C, D, I, G)), k12_supinf_2(k1_measur11(J, A), G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t74_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  ~ ( (r2_tarski(E, k4_srings_3(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) &  ( ~ (E=k1_xboole_0)  &  (! [F] :  ( (v1_prob_2(F) & m2_finseq_1(F, k3_measur10(A, B, C, D)))  =>  (! [G] :  (m2_finseq_1(G, C) =>  (! [H] :  (m2_finseq_1(H, D) =>  (! [I] :  ( (v3_measur11(I, k2_zfmisc_1(A, B)) & m2_finseq_1(I, k9_funct_2(k2_zfmisc_1(A, B), k6_numbers)))  =>  ~ ( (E=k3_card_3(F) &  (r2_tarski(k3_finseq_1(F), k4_finseq_1(F)) &  (k3_finseq_1(F)=k3_finseq_1(G) &  (k3_finseq_1(F)=k3_finseq_1(H) &  (k3_finseq_1(F)=k3_finseq_1(I) &  ( (! [J] :  (v7_ordinal1(J) =>  (r2_tarski(J, k4_finseq_1(F)) => k1_funct_1(F, J)=k8_mcart_1(A, B, k8_prob_3(A, C, G, J), k8_prob_3(B, D, H, J))) ) )  &  ( (! [J] :  (v7_ordinal1(J) =>  (r2_tarski(J, k4_finseq_1(I)) => k1_funct_1(I, J)=k1_measur11(k1_funct_1(F, J), k2_zfmisc_1(A, B))) ) )  &  (k1_funct_1(k12_measur11(k2_zfmisc_1(A, B), I), k3_finseq_1(I))=k1_measur11(E, k2_zfmisc_1(A, B)) &  ( (! [J] :  (v7_ordinal1(J) =>  (! [K] :  (! [L] :  ( (r2_tarski(J, k4_finseq_1(I)) &  (r2_tarski(K, A) & r2_tarski(L, B)) )  => k1_binop_1(k1_funct_1(I, J), K, L)=k1_extreal1(k12_supinf_2(k1_measur11(k8_prob_3(A, C, G, J), A), K), k12_supinf_2(k1_measur11(k8_prob_3(B, D, H, J), B), L))) ) ) ) )  &  ( (! [J] :  (m1_subset_1(J, A) => r2_funct_2(B, k6_numbers, k5_mesfunc9(A, B, k6_numbers, k1_measur11(E, k2_zfmisc_1(A, B)), J), k5_mesfunc9(A, B, k6_numbers, k11_measur11(k2_zfmisc_1(A, B), k6_numbers, k9_funct_2(k2_zfmisc_1(A, B), k6_numbers), k12_measur11(k2_zfmisc_1(A, B), I), k3_finseq_1(I)), J))) )  &  (! [J] :  (m1_subset_1(J, B) => r2_funct_2(A, k6_numbers, k6_mesfunc9(A, B, k6_numbers, k1_measur11(E, k2_zfmisc_1(A, B)), J), k6_mesfunc9(A, B, k6_numbers, k11_measur11(k2_zfmisc_1(A, B), k6_numbers, k9_funct_2(k2_zfmisc_1(A, B), k6_numbers), k12_measur11(k2_zfmisc_1(A, B), I), k3_finseq_1(I)), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  (m2_finseq_1(E, k3_measur10(A, B, C, D)) => r2_tarski(k3_card_3(E), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t76_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  ~ ( (r2_tarski(G, k4_srings_3(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) &  ( ~ (G=k1_xboole_0)  &  (! [H] :  ( (v1_prob_2(H) & m2_finseq_1(H, k3_measur10(A, B, C, D)))  =>  (! [I] :  (m2_finseq_1(I, C) =>  (! [J] :  (m2_finseq_1(J, D) =>  (! [K] :  ( (v3_measur11(K, k2_zfmisc_1(A, B)) & m2_finseq_1(K, k9_funct_2(k2_zfmisc_1(A, B), k6_numbers)))  =>  (! [L] :  ( (v3_measur11(L, A) & m2_finseq_1(L, k9_funct_2(A, k6_numbers)))  =>  (! [M] :  ( (v3_measur11(M, B) & m2_finseq_1(M, k9_funct_2(B, k6_numbers)))  =>  ~ ( (G=k3_card_3(H) &  (r2_tarski(k3_finseq_1(H), k4_finseq_1(H)) &  (k3_finseq_1(H)=k3_finseq_1(I) &  (k3_finseq_1(H)=k3_finseq_1(J) &  (k3_finseq_1(H)=k3_finseq_1(K) &  (k3_finseq_1(H)=k3_finseq_1(L) &  (k3_finseq_1(H)=k3_finseq_1(M) &  ( (! [N] :  (v7_ordinal1(N) =>  (r2_tarski(N, k4_finseq_1(K)) => k1_funct_1(K, N)=k1_measur11(k1_funct_1(H, N), k2_zfmisc_1(A, B))) ) )  &  (r8_binop_1(A, B, k6_numbers, k11_measur11(k2_zfmisc_1(A, B), k6_numbers, k9_funct_2(k2_zfmisc_1(A, B), k6_numbers), k12_measur11(k2_zfmisc_1(A, B), K), k3_finseq_1(K)), k1_measur11(G, k2_zfmisc_1(A, B))) &  ( (! [N] :  (m1_subset_1(N, A) =>  (! [O] :  (v7_ordinal1(O) =>  (r2_tarski(O, k4_finseq_1(L)) => k1_funct_1(k1_funct_1(L, O), N)=k7_mesfunc5(B, D, F, k5_mesfunc9(A, B, k6_numbers, k11_measur11(k2_zfmisc_1(A, B), k6_numbers, k9_funct_2(k2_zfmisc_1(A, B), k6_numbers), K, O), N))) ) ) ) )  &  ( (! [N] :  (v7_ordinal1(N) =>  (! [O] :  (m2_subset_1(O, k1_zfmisc_1(A), C) =>  (r2_tarski(N, k4_finseq_1(L)) => r1_mesfunc1(A, C, k11_measur11(A, k6_numbers, k9_funct_2(A, k6_numbers), L, N), O)) ) ) ) )  &  ( (! [N] :  (m1_subset_1(N, A) => k7_mesfunc5(B, D, F, k5_mesfunc9(A, B, k6_numbers, k11_measur11(k2_zfmisc_1(A, B), k6_numbers, k9_funct_2(k2_zfmisc_1(A, B), k6_numbers), k12_measur11(k2_zfmisc_1(A, B), K), k3_finseq_1(K)), N))=k12_supinf_2(k11_measur11(A, k6_numbers, k9_funct_2(A, k6_numbers), k12_measur11(A, L), k3_finseq_1(L)), N)) )  &  ( (! [N] :  (m1_subset_1(N, B) =>  (! [O] :  (v7_ordinal1(O) =>  (r2_tarski(O, k4_finseq_1(M)) => k1_funct_1(k1_funct_1(M, O), N)=k7_mesfunc5(A, C, E, k6_mesfunc9(A, B, k6_numbers, k11_measur11(k2_zfmisc_1(A, B), k6_numbers, k9_funct_2(k2_zfmisc_1(A, B), k6_numbers), K, O), N))) ) ) ) )  &  ( (! [N] :  (v7_ordinal1(N) =>  (! [O] :  (m2_subset_1(O, k1_zfmisc_1(B), D) =>  (r2_tarski(N, k4_finseq_1(M)) => r1_mesfunc1(B, D, k11_measur11(B, k6_numbers, k9_funct_2(B, k6_numbers), M, N), O)) ) ) ) )  &  (! [N] :  (m1_subset_1(N, B) => k7_mesfunc5(A, C, E, k6_mesfunc9(A, B, k6_numbers, k11_measur11(k2_zfmisc_1(A, B), k6_numbers, k9_funct_2(k2_zfmisc_1(A, B), k6_numbers), k12_measur11(k2_zfmisc_1(A, B), K), k3_finseq_1(K)), N))=k12_supinf_2(k11_measur11(B, k6_numbers, k9_funct_2(B, k6_numbers), k12_measur11(B, M), k3_finseq_1(M)), N)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t77_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(B), D) =>  ~ ( (r2_tarski(G, k4_srings_3(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) &  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, A, k6_numbers) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  ~ ( ( (! [J] :  (m1_subset_1(J, A) => k12_supinf_2(I, J)=k12_supinf_2(F, k2_measure1(B, D, k9_measur11(A, B, C, D, G, J), H))) )  &  (! [J] :  (m2_subset_1(J, k1_zfmisc_1(A), C) => r1_mesfunc1(A, C, I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t78_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(A), C) =>  ~ ( (r2_tarski(G, k4_srings_3(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) &  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, B, k6_numbers) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) )  =>  ~ ( ( (! [J] :  (m1_subset_1(J, B) => k12_supinf_2(I, J)=k12_supinf_2(E, k2_measure1(A, C, k10_measur11(A, B, C, D, G, J), H))) )  &  (! [J] :  (m2_subset_1(J, k1_zfmisc_1(B), D) => r1_mesfunc1(B, D, I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (v4_measur11(C, A, B) <=>  (? [D] :  (m2_measure8(D, A, B) &  ( (! [E] :  (v7_ordinal1(E) =>  ~ (r1_xxreal_0(k1_xxreal_0, k12_supinf_2(C, k1_prob_2(A, k9_setfam_1(A), D, E)))) ) )  & k3_measur11(A, k9_setfam_1(A), D)=A) ) ) ) ) ) ) ) ) ) ).
fof(t83_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (v4_measur11(C, A, B) <=>  (? [D] :  (m2_measure8(D, A, B) &  (v3_prob_1(D) &  ( (! [E] :  (v7_ordinal1(E) =>  ~ (r1_xxreal_0(k1_xxreal_0, k12_supinf_2(C, k1_prob_2(A, k9_setfam_1(A), D, E)))) ) )  & k4_kurato_0(A, D)=A) ) ) ) ) ) ) ) ) ) ) ).
fof(t84_measur11, axiom,  (! [A] :  (! [B] :  (m2_srings_3(B, A) =>  (! [C] :  (m1_measure9(C, A, B) =>  (! [D] :  (m2_measure9(D, A, B, C) => r2_funct_2(k4_srings_3(A, B), k6_numbers, D, k17_funct_3(k1_zfmisc_1(A), k6_numbers, k9_measure8(A, k4_srings_3(A, B), D), k4_srings_3(A, B)))) ) ) ) ) ) ) ).
fof(t87_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  ( ( (v2_prob_3(k1_measure3(A, k9_setfam_1(A), C), A) &  (v3_prob_3(k1_measure3(A, k9_setfam_1(A), C), A) & m1_subset_1(k1_measure3(A, k9_setfam_1(A), C), k1_zfmisc_1(k1_zfmisc_1(A)))) )  & r1_tarski(B, k1_measure3(A, k9_setfam_1(A), C)))  =>  (k9_prob_1(A, B)=k10_prob_3(A, B) & r1_tarski(k9_prob_1(A, B), k1_measure3(A, k9_setfam_1(A), C))) ) ) ) ) ) ) ) ).
fof(t88_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))) =>  ( ( (v2_prob_3(C, A) &  (v3_prob_3(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) )  & r1_tarski(B, C))  =>  (k9_prob_1(A, B)=k10_prob_3(A, B) & r1_tarski(k9_prob_1(A, B), C)) ) ) ) ) ) ) ) ).
fof(t91_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, D, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, B, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  ~ ( (v4_measur11(E, B, D) &  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, k6_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  ~ ( ( (! [H] :  (m1_subset_1(H, A) => k12_supinf_2(G, H)=k12_supinf_2(E, k9_measur11(A, B, C, D, F, H))) )  &  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(A), C) => r1_mesfunc1(A, C, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t92_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  ~ ( (v4_measur11(E, A, C) &  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, B, k6_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) )  =>  ~ ( ( (! [H] :  (m1_subset_1(H, B) => k12_supinf_2(G, H)=k12_supinf_2(E, k10_measur11(A, B, C, D, F, H))) )  &  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(B), D) => r1_mesfunc1(B, D, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, D, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, B, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (v4_measur11(E, B, D) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, k6_numbers) &  (v6_supinf_2(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) )  =>  (G=k19_measur11(A, B, C, D, E, F) <=>  ( (! [H] :  (m1_subset_1(H, A) => k12_supinf_2(G, H)=k12_supinf_2(E, k9_measur11(A, B, C, D, F, H))) )  &  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(A), C) => r1_mesfunc1(A, C, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (v4_measur11(E, A, C) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, B, k6_numbers) &  (v6_supinf_2(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) )  =>  (G=k20_measur11(A, B, C, D, E, F) <=>  ( (! [H] :  (m1_subset_1(H, B) => k12_supinf_2(G, H)=k12_supinf_2(E, k10_measur11(A, B, C, D, F, H))) )  &  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(B), D) => r1_mesfunc1(B, D, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t93_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, D, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, B, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  ( (v4_measur11(E, B, D) & r1_xboole_0(F, G))  => r2_relset_1(A, k6_numbers, k19_measur11(A, B, C, D, E, k1_measure1(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), F, G)), k14_measur11(A, k19_measur11(A, B, C, D, E, F), k19_measur11(A, B, C, D, E, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t94_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  ( (v4_measur11(E, A, C) & r1_xboole_0(F, G))  => r2_relset_1(B, k6_numbers, k20_measur11(A, B, C, D, E, k1_measure1(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), F, G)), k14_measur11(B, k20_measur11(A, B, C, D, E, F), k20_measur11(A, B, C, D, E, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t95_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  ( (v4_measur11(F, B, D) & r1_xboole_0(G, H))  => k7_mesfunc5(A, C, E, k19_measur11(A, B, C, D, F, k1_measure1(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), G, H)))=k3_supinf_2(k7_mesfunc5(A, C, E, k19_measur11(A, B, C, D, F, G)), k7_mesfunc5(A, C, E, k19_measur11(A, B, C, D, F, H)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t96_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  ( (v4_measur11(E, A, C) & r1_xboole_0(G, H))  => k7_mesfunc5(B, D, F, k20_measur11(A, B, C, D, E, k1_measure1(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), G, H)))=k3_supinf_2(k7_mesfunc5(B, D, F, k20_measur11(A, B, C, D, E, G)), k7_mesfunc5(B, D, F, k20_measur11(A, B, C, D, E, H)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t97_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(A), C) =>  (! [I] :  (m2_subset_1(I, k1_zfmisc_1(B), D) =>  ( (r2_relset_1(A, B, G, k8_mcart_1(A, B, H, I)) & v4_measur11(F, B, D))  =>  ( (k12_supinf_2(F, I)=k1_xxreal_0 => r2_funct_2(A, k6_numbers, k19_measur11(A, B, C, D, F, G), k5_measur10(H, A)))  &  ~ ( ( ~ (k12_supinf_2(F, I)=k1_xxreal_0)  &  (! [J] :  (v1_xreal_0(J) =>  ~ ( (J=k12_supinf_2(F, I) & r2_relset_1(A, k6_numbers, k19_measur11(A, B, C, D, F, G), k6_mesfunc1(A, k1_measur11(H, A), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t98_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(A), C) =>  (! [I] :  (m2_subset_1(I, k1_zfmisc_1(B), D) =>  ( (r2_relset_1(A, B, G, k8_mcart_1(A, B, H, I)) & v4_measur11(E, A, C))  =>  ( (k12_supinf_2(E, H)=k1_xxreal_0 => r2_funct_2(B, k6_numbers, k20_measur11(A, B, C, D, E, G), k5_measur10(I, B)))  &  ~ ( ( ~ (k12_supinf_2(E, H)=k1_xxreal_0)  &  (! [J] :  (v1_xreal_0(J) =>  ~ ( (J=k12_supinf_2(E, H) & r2_relset_1(B, k6_numbers, k20_measur11(A, B, C, D, E, G), k6_mesfunc1(B, k1_measur11(I, B), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t99_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (v1_xreal_0(E) =>  (r1_xxreal_0(k5_numbers, E) => k7_mesfunc5(A, B, C, k6_mesfunc1(A, k1_measur11(D, A), E))=k4_xxreal_3(E, k12_supinf_2(C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t100_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_finseq_1(G, k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [H] :  (v7_ordinal1(H) =>  ( (v4_measur11(F, B, D) & m2_finseq_1(G, k3_measur10(A, B, C, D)))  => k12_supinf_2(k6_measur11(A, B, C, D, E, F), k8_prob_3(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), G, H))=k7_mesfunc5(A, C, E, k19_measur11(A, B, C, D, F, k8_prob_3(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), G, H)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t101_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_finseq_1(G, k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [H] :  (v7_ordinal1(H) =>  ( (v4_measur11(E, A, C) & m2_finseq_1(G, k3_measur10(A, B, C, D)))  => k12_supinf_2(k6_measur11(A, B, C, D, E, F), k8_prob_3(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), G, H))=k7_mesfunc5(B, D, F, k20_measur11(A, B, C, D, E, k8_prob_3(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), G, H)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t102_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  ( (v1_prob_2(G) & m2_finseq_1(G, k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))))  =>  (! [H] :  (v7_ordinal1(H) =>  ( (v4_measur11(F, B, D) & m2_finseq_1(G, k3_measur10(A, B, C, D)))  => k12_supinf_2(k6_measur11(A, B, C, D, E, F), k2_measur11(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), G))=k7_mesfunc5(A, C, E, k19_measur11(A, B, C, D, F, k2_measur11(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t103_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  ( (v1_prob_2(G) & m2_finseq_1(G, k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))))  =>  (! [H] :  (v7_ordinal1(H) =>  ( (v4_measur11(E, A, C) & m2_finseq_1(G, k3_measur10(A, B, C, D)))  => k12_supinf_2(k6_measur11(A, B, C, D, E, F), k2_measur11(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), G))=k7_mesfunc5(B, D, F, k20_measur11(A, B, C, D, E, k2_measur11(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t108_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, D, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, B, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [H] :  (m2_measure8(H, k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [I] :  (m1_subset_1(I, A) =>  ~ ( (v3_prob_1(H) &  (r2_relset_1(A, B, k4_kurato_0(k2_zfmisc_1(A, B), H), F) &  (! [J] :  ( (v5_relat_1(J, D) &  (v1_funct_1(J) &  (v1_funct_2(J, k4_ordinal1, k9_setfam_1(B)) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(B))))) ) )  =>  ~ ( (v3_prob_1(J) &  ( (! [K] :  (v7_ordinal1(K) => k1_prob_2(B, D, J, K)=k2_measure1(B, D, k9_measur11(A, B, C, D, k17_measur11(A, B, C, D, H, K), I), k9_measur11(A, B, C, D, G, I))) )  & k4_kurato_0(B, J)=k2_measure1(B, D, k9_measur11(A, B, C, D, F, I), k9_measur11(A, B, C, D, G, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t109_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [H] :  (m2_measure8(H, k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [I] :  (m1_subset_1(I, B) =>  ~ ( (v3_prob_1(H) &  (r2_relset_1(A, B, k4_kurato_0(k2_zfmisc_1(A, B), H), F) &  (! [J] :  ( (v5_relat_1(J, C) &  (v1_funct_1(J) &  (v1_funct_2(J, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  ~ ( (v3_prob_1(J) &  ( (! [K] :  (v7_ordinal1(K) => k1_prob_2(A, C, J, K)=k2_measure1(A, C, k10_measur11(A, B, C, D, k17_measur11(A, B, C, D, H, K), I), k10_measur11(A, B, C, D, G, I))) )  & k4_kurato_0(A, J)=k2_measure1(A, C, k10_measur11(A, B, C, D, F, I), k10_measur11(A, B, C, D, G, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t110_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, D, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, B, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [H] :  (m2_measure8(H, k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [I] :  (m1_subset_1(I, A) =>  ~ ( (v2_prob_1(H) &  (r2_relset_1(A, B, k4_kurato_0(k2_zfmisc_1(A, B), H), F) &  (! [J] :  ( (v5_relat_1(J, D) &  (v1_funct_1(J) &  (v1_funct_2(J, k4_ordinal1, k9_setfam_1(B)) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(B))))) ) )  =>  ~ ( (v2_prob_1(J) &  ( (! [K] :  (v7_ordinal1(K) => k1_prob_2(B, D, J, K)=k2_measure1(B, D, k9_measur11(A, B, C, D, k17_measur11(A, B, C, D, H, K), I), k9_measur11(A, B, C, D, G, I))) )  & k4_kurato_0(B, J)=k2_measure1(B, D, k9_measur11(A, B, C, D, F, I), k9_measur11(A, B, C, D, G, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t111_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [H] :  (m2_measure8(H, k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [I] :  (m1_subset_1(I, B) =>  ~ ( (v2_prob_1(H) &  (r2_relset_1(A, B, k4_kurato_0(k2_zfmisc_1(A, B), H), F) &  (! [J] :  ( (v5_relat_1(J, C) &  (v1_funct_1(J) &  (v1_funct_2(J, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  ~ ( (v2_prob_1(J) &  ( (! [K] :  (v7_ordinal1(K) => k1_prob_2(A, C, J, K)=k2_measure1(A, C, k10_measur11(A, B, C, D, k17_measur11(A, B, C, D, H, K), I), k10_measur11(A, B, C, D, G, I))) )  & k4_kurato_0(A, J)=k2_measure1(A, C, k10_measur11(A, B, C, D, F, I), k10_measur11(A, B, C, D, G, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t116_measur11, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k9_setfam_1(k2_zfmisc_1(A, B))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k2_zfmisc_1(A, B)))))) )  =>  ( (v3_prob_1(C) &  (v3_prob_1(D) &  (! [F] :  (v7_ordinal1(F) => r2_relset_1(A, B, k1_prob_2(k2_zfmisc_1(A, B), k9_setfam_1(k2_zfmisc_1(A, B)), E, F), k8_mcart_1(A, B, k1_prob_2(A, k9_setfam_1(A), C, F), k1_prob_2(B, k9_setfam_1(B), D, F)))) ) ) )  =>  (v3_prob_1(E) &  (v3_kurato_0(E, k2_zfmisc_1(A, B)) & r2_relset_1(A, B, k1_prob_1(k2_zfmisc_1(A, B), E), k8_mcart_1(A, B, k1_prob_1(A, C), k1_prob_1(B, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t117_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  ( (v4_measur11(E, A, C) & v4_measur11(F, B, D))  => k7_mesfunc5(A, C, E, k19_measur11(A, B, C, D, F, G))=k12_supinf_2(k6_measur11(A, B, C, D, E, F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t118_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  ( (v4_measur11(E, A, C) & v4_measur11(F, B, D))  => k7_mesfunc5(B, D, F, k20_measur11(A, B, C, D, E, G))=k12_supinf_2(k6_measur11(A, B, C, D, E, F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_measur11, axiom,  (! [A, B] :  (v1_funct_1(k1_measur11(A, B)) &  (v1_funct_2(k1_measur11(A, B), B, k6_numbers) & m1_subset_1(k1_measur11(A, B), k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ).
fof(redefinition_k1_measur11, axiom,  (! [A, B] : k1_measur11(A, B)=k4_funct_3(A, B)) ).
fof(dt_k2_measur11, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  & m1_finseq_1(C, B)) )  => m2_subset_1(k2_measur11(A, B, C), k1_zfmisc_1(A), B)) ) ).
fof(redefinition_k2_measur11, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  & m1_finseq_1(C, B)) )  => k2_measur11(A, B, C)=k3_card_3(C)) ) ).
fof(dt_k3_measur11, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) ) )  => m2_subset_1(k3_measur11(A, B, C), k1_zfmisc_1(A), B)) ) ).
fof(redefinition_k3_measur11, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) ) )  => k3_measur11(A, B, C)=k3_card_3(C)) ) ).
fof(dt_k4_measur11, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_finseq_1(B, k4_partfun1(A, k6_numbers)) & m1_subset_1(C, A)) )  => m2_finseq_1(k4_measur11(A, B, C), k6_numbers)) ) ).
fof(dt_k5_measur11, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  &  (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) ) ) ) ) ) )  => m2_measure9(k5_measur11(A, B, C, D, E, F), k2_zfmisc_1(A, B), k3_measur10(A, B, C, D), k6_measur10(A, B, C, D, E, F))) ) ).
fof(dt_k6_measur11, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  &  (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) ) ) ) ) ) )  => m3_measure9(k6_measur11(A, B, C, D, E, F), k2_zfmisc_1(A, B), k3_measur10(A, B, C, D), k6_measur10(A, B, C, D, E, F), k5_measur11(A, B, C, D, E, F))) ) ).
fof(dt_k7_measur11, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  => m1_subset_1(k7_measur11(A, B, C, D), k1_zfmisc_1(B))) ) ).
fof(dt_k8_measur11, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  => m1_subset_1(k8_measur11(A, B, C, D), k1_zfmisc_1(A))) ) ).
fof(dt_k9_measur11, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  & m1_subset_1(E, k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)))) ) ) )  => m2_subset_1(k9_measur11(A, B, C, D, E, F), k1_zfmisc_1(B), D)) ) ).
fof(dt_k10_measur11, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  & m1_subset_1(E, k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)))) ) ) )  => m2_subset_1(k10_measur11(A, B, C, D, E, F), k1_zfmisc_1(A), C)) ) ).
fof(dt_k11_measur11, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_funct_2(C, A, B) &  (m1_finseq_1(D, C) & v7_ordinal1(E)) ) ) )  => m2_funct_2(k11_measur11(A, B, C, D, E), A, B, C)) ) ).
fof(redefinition_k11_measur11, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_funct_2(C, A, B) &  (m1_finseq_1(D, C) & v7_ordinal1(E)) ) ) )  => k11_measur11(A, B, C, D, E)=k7_partfun1(C, D, E)) ) ).
fof(dt_k12_measur11, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v3_measur11(B, A) & m1_finseq_1(B, k9_funct_2(A, k6_numbers))) )  => m2_finseq_1(k12_measur11(A, B), k9_funct_2(A, k6_numbers))) ) ).
fof(dt_k13_measur11, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v4_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  &  (v1_funct_1(C) &  (v4_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) )  =>  (v1_funct_1(k13_measur11(A, B, C)) &  (v4_mesfunc5(k13_measur11(A, B, C)) & m1_subset_1(k13_measur11(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ) ).
fof(commutativity_k13_measur11, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v4_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  &  (v1_funct_1(C) &  (v4_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) )  => k13_measur11(A, B, C)=k13_measur11(A, C, B)) ) ).
fof(redefinition_k13_measur11, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v4_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  &  (v1_funct_1(C) &  (v4_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) )  => k13_measur11(A, B, C)=k3_mesfunc1(A, B, C)) ) ).
fof(dt_k14_measur11, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v3_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  &  (v1_funct_1(C) &  (v3_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) )  =>  (v1_funct_1(k14_measur11(A, B, C)) &  (v3_mesfunc5(k14_measur11(A, B, C)) & m1_subset_1(k14_measur11(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ) ).
fof(commutativity_k14_measur11, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v3_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  &  (v1_funct_1(C) &  (v3_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) )  => k14_measur11(A, B, C)=k14_measur11(A, C, B)) ) ).
fof(redefinition_k14_measur11, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v3_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  &  (v1_funct_1(C) &  (v3_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) )  => k14_measur11(A, B, C)=k3_mesfunc1(A, B, C)) ) ).
fof(dt_k15_measur11, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v4_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  &  (v1_funct_1(C) &  (v3_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) )  =>  (v1_funct_1(k15_measur11(A, B, C)) &  (v4_mesfunc5(k15_measur11(A, B, C)) & m1_subset_1(k15_measur11(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ) ).
fof(redefinition_k15_measur11, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v4_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  &  (v1_funct_1(C) &  (v3_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) )  => k15_measur11(A, B, C)=k4_mesfunc1(A, B, C)) ) ).
fof(dt_k16_measur11, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v3_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  &  (v1_funct_1(C) &  (v4_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) )  =>  (v1_funct_1(k16_measur11(A, B, C)) &  (v3_mesfunc5(k16_measur11(A, B, C)) & m1_subset_1(k16_measur11(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ) ).
fof(redefinition_k16_measur11, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v3_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  &  (v1_funct_1(C) &  (v4_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) )  => k16_measur11(A, B, C)=k4_mesfunc1(A, B, C)) ) ).
fof(dt_k17_measur11, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  (m2_measure8(E, k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) & v7_ordinal1(F)) ) ) ) )  => m2_subset_1(k17_measur11(A, B, C, D, E, F), k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)))) ) ).
fof(redefinition_k17_measur11, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  (m2_measure8(E, k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) & v7_ordinal1(F)) ) ) ) )  => k17_measur11(A, B, C, D, E, F)=k1_funct_1(E, F)) ) ).
fof(dt_k18_measur11, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(k4_ordinal1, k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)))))) )  &  (m1_subset_1(F, k4_ordinal1) & m1_subset_1(G, k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)))) ) ) ) ) )  => m2_subset_1(k18_measur11(A, B, C, D, E, F, G), k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)))) ) ).
fof(redefinition_k18_measur11, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(k4_ordinal1, k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)))))) )  &  (m1_subset_1(F, k4_ordinal1) & m1_subset_1(G, k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)))) ) ) ) ) )  => k18_measur11(A, B, C, D, E, F, G)=k1_binop_1(E, F, G)) ) ).
fof(dt_k19_measur11, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, D, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, B, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  & m1_subset_1(F, k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)))) ) ) ) )  =>  (v1_funct_1(k19_measur11(A, B, C, D, E, F)) &  (v1_funct_2(k19_measur11(A, B, C, D, E, F), A, k6_numbers) &  (v6_supinf_2(k19_measur11(A, B, C, D, E, F)) & m1_subset_1(k19_measur11(A, B, C, D, E, F), k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ) ) ).
fof(dt_k20_measur11, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  & m1_subset_1(F, k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)))) ) ) ) )  =>  (v1_funct_1(k20_measur11(A, B, C, D, E, F)) &  (v1_funct_2(k20_measur11(A, B, C, D, E, F), B, k6_numbers) &  (v6_supinf_2(k20_measur11(A, B, C, D, E, F)) & m1_subset_1(k20_measur11(A, B, C, D, E, F), k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) ).
fof(d4_measur11, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [D] : k7_measur11(A, B, C, D)=a_4_0_measur11(A, B, C, D)) ) ) ) ) ) ).
fof(d5_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [D] : k8_measur11(A, B, C, D)=a_4_1_measur11(A, B, C, D)) ) ) ) ) ) ).
fof(t47_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [F] :  (F=a_3_0_measur11(A, B, D) =>  (r1_tarski(k4_srings_3(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), F) &  ( ~ (v1_xboole_0(F))  &  (v1_prob_1(F, k2_zfmisc_1(A, B)) &  (v4_prob_1(F, k2_zfmisc_1(A, B)) & m1_subset_1(F, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [F] :  (F=a_3_1_measur11(A, B, C) =>  (r1_tarski(k4_srings_3(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), F) &  ( ~ (v1_xboole_0(F))  &  (v1_prob_1(F, k2_zfmisc_1(A, B)) &  (v4_prob_1(F, k2_zfmisc_1(A, B)) & m1_subset_1(F, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t79_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, D, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, B, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (r2_tarski(F, k4_srings_3(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(B), D) => r2_tarski(F, a_6_0_measur11(A, B, C, D, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t80_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (r2_tarski(F, k4_srings_3(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(A), C) => r2_tarski(F, a_6_1_measur11(A, B, C, D, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t81_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, D, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, B, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(B), D) => r1_tarski(k4_srings_3(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), a_6_0_measur11(A, B, C, D, E, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t82_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), C) => r1_tarski(k4_srings_3(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), a_6_1_measur11(A, B, C, D, E, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t85_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, D, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, B, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(B), D) =>  ( ~ (r1_xxreal_0(k1_xxreal_0, k12_supinf_2(E, F)))  =>  (v2_prob_3(a_6_0_measur11(A, B, C, D, E, F), k2_zfmisc_1(A, B)) &  (v3_prob_3(a_6_0_measur11(A, B, C, D, E, F), k2_zfmisc_1(A, B)) & m1_subset_1(a_6_0_measur11(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t86_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), C) =>  ( ~ (r1_xxreal_0(k1_xxreal_0, k12_supinf_2(E, F)))  =>  (v2_prob_3(a_6_1_measur11(A, B, C, D, E, F), k2_zfmisc_1(A, B)) &  (v3_prob_3(a_6_1_measur11(A, B, C, D, E, F), k2_zfmisc_1(A, B)) & m1_subset_1(a_6_1_measur11(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t89_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, D, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, B, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(B), D) =>  ( ~ (r1_xxreal_0(k1_xxreal_0, k12_supinf_2(E, F)))  => r1_tarski(k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), a_6_0_measur11(A, B, C, D, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t90_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), C) =>  ( ~ (r1_xxreal_0(k1_xxreal_0, k12_supinf_2(E, F)))  => r1_tarski(k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), a_6_1_measur11(A, B, C, D, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t104_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  ( (r2_tarski(G, k4_srings_3(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) & v4_measur11(F, B, D))  =>  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [I] :  (m2_subset_1(I, k1_zfmisc_1(A), C) =>  (! [J] :  (m2_subset_1(J, k1_zfmisc_1(B), D) =>  (r2_relset_1(A, B, H, k8_mcart_1(A, B, I, J)) => r2_tarski(G, a_7_0_measur11(A, B, C, D, E, F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t105_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  ( (r2_tarski(G, k4_srings_3(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) & v4_measur11(E, A, C))  =>  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [I] :  (m2_subset_1(I, k1_zfmisc_1(A), C) =>  (! [J] :  (m2_subset_1(J, k1_zfmisc_1(B), D) =>  (r2_relset_1(A, B, H, k8_mcart_1(A, B, I, J)) => r2_tarski(G, a_7_1_measur11(A, B, C, D, E, F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t106_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(A), C) =>  (! [I] :  (m2_subset_1(I, k1_zfmisc_1(B), D) =>  ( (v4_measur11(F, B, D) & r2_relset_1(A, B, G, k8_mcart_1(A, B, H, I)))  => r1_tarski(k4_srings_3(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), a_7_0_measur11(A, B, C, D, E, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t107_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(A), C) =>  (! [I] :  (m2_subset_1(I, k1_zfmisc_1(B), D) =>  ( (v4_measur11(E, A, C) & r2_relset_1(A, B, G, k8_mcart_1(A, B, H, I)))  => r1_tarski(k4_srings_3(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), a_7_1_measur11(A, B, C, D, E, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t112_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(A), C) =>  (! [I] :  (m2_subset_1(I, k1_zfmisc_1(B), D) =>  ( (v4_measur11(F, B, D) & r2_relset_1(A, B, G, k8_mcart_1(A, B, H, I)))  =>  (r1_xxreal_0(k1_xxreal_0, k12_supinf_2(k6_measur11(A, B, C, D, E, F), G)) |  (r1_xxreal_0(k1_xxreal_0, k12_supinf_2(F, I)) |  (v2_prob_3(a_7_0_measur11(A, B, C, D, E, F, G), k2_zfmisc_1(A, B)) &  (v3_prob_3(a_7_0_measur11(A, B, C, D, E, F, G), k2_zfmisc_1(A, B)) & m1_subset_1(a_7_0_measur11(A, B, C, D, E, F, G), k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t113_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(A), C) =>  (! [I] :  (m2_subset_1(I, k1_zfmisc_1(B), D) =>  ( (v4_measur11(E, A, C) & r2_relset_1(A, B, G, k8_mcart_1(A, B, H, I)))  =>  (r1_xxreal_0(k1_xxreal_0, k12_supinf_2(k6_measur11(A, B, C, D, E, F), G)) |  (r1_xxreal_0(k1_xxreal_0, k12_supinf_2(E, H)) |  (v2_prob_3(a_7_1_measur11(A, B, C, D, E, F, G), k2_zfmisc_1(A, B)) &  (v3_prob_3(a_7_1_measur11(A, B, C, D, E, F, G), k2_zfmisc_1(A, B)) & m1_subset_1(a_7_1_measur11(A, B, C, D, E, F, G), k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t114_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(A), C) =>  (! [I] :  (m2_subset_1(I, k1_zfmisc_1(B), D) =>  ( (v4_measur11(F, B, D) & r2_relset_1(A, B, G, k8_mcart_1(A, B, H, I)))  =>  (r1_xxreal_0(k1_xxreal_0, k12_supinf_2(k6_measur11(A, B, C, D, E, F), G)) |  (r1_xxreal_0(k1_xxreal_0, k12_supinf_2(F, I)) | r1_tarski(k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), a_7_0_measur11(A, B, C, D, E, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t115_measur11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(A), C) =>  (! [I] :  (m2_subset_1(I, k1_zfmisc_1(B), D) =>  ( (v4_measur11(E, A, C) & r2_relset_1(A, B, G, k8_mcart_1(A, B, H, I)))  =>  (r1_xxreal_0(k1_xxreal_0, k12_supinf_2(k6_measur11(A, B, C, D, E, F), G)) |  (r1_xxreal_0(k1_xxreal_0, k12_supinf_2(E, H)) | r1_tarski(k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), a_7_1_measur11(A, B, C, D, E, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_measur11, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C))))  =>  (r2_hidden(A, a_4_0_measur11(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, C) &  (A=F & r2_hidden(k4_tarski(E, F), D)) ) ) ) ) ) ).
fof(fraenkel_a_4_1_measur11, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C))))  =>  (r2_hidden(A, a_4_1_measur11(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, B) &  (A=F & r2_hidden(k4_tarski(F, E), D)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_measur11, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, C) &  (v4_prob_1(D, C) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(C)))) ) ) ) )  =>  (r2_hidden(A, a_3_0_measur11(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C))) &  (A=E &  (! [F] : r2_tarski(k7_measur11(B, C, E, F), D)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_measur11, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) ) ) )  =>  (r2_hidden(A, a_3_1_measur11(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C))) &  (A=E &  (! [F] : r2_tarski(k8_measur11(B, C, E, F), D)) ) ) ) ) ) ) ).
fof(fraenkel_a_6_0_measur11, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( ( ~ (v1_xboole_0(E))  &  (v1_prob_1(E, C) &  (v4_prob_1(E, C) & m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(C)))) ) )  &  ( (v1_funct_1(F) &  (v1_funct_2(F, E, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, C, E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(E, k6_numbers)))) ) ) ) )  & m2_subset_1(G, k1_zfmisc_1(C), E)) ) ) ) )  =>  (r2_hidden(A, a_6_0_measur11(B, C, D, E, F, G)) <=>  (? [H] :  (m2_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(B, C)), k9_prob_1(k2_zfmisc_1(B, C), k3_measur10(B, C, D, E))) &  (A=H &  (? [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, B, k6_numbers) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) )  &  ( (! [J] :  (m1_subset_1(J, B) => k12_supinf_2(I, J)=k12_supinf_2(F, k2_measure1(C, E, k9_measur11(B, C, D, E, H, J), G))) )  &  (! [J] :  (m2_subset_1(J, k1_zfmisc_1(B), D) => r1_mesfunc1(B, D, I, J)) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_6_1_measur11, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( ( ~ (v1_xboole_0(E))  &  (v1_prob_1(E, C) &  (v4_prob_1(E, C) & m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(C)))) ) )  &  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  & m2_subset_1(G, k1_zfmisc_1(B), D)) ) ) ) )  =>  (r2_hidden(A, a_6_1_measur11(B, C, D, E, F, G)) <=>  (? [H] :  (m2_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(B, C)), k9_prob_1(k2_zfmisc_1(B, C), k3_measur10(B, C, D, E))) &  (A=H &  (? [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, C, k6_numbers) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) )  &  ( (! [J] :  (m1_subset_1(J, C) => k12_supinf_2(I, J)=k12_supinf_2(F, k2_measure1(B, D, k10_measur11(B, C, D, E, H, J), G))) )  &  (! [J] :  (m2_subset_1(J, k1_zfmisc_1(C), E) => r1_mesfunc1(C, E, I, J)) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_7_0_measur11, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( ( ~ (v1_xboole_0(E))  &  (v1_prob_1(E, C) &  (v4_prob_1(E, C) & m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(C)))) ) )  &  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  &  ( (v1_funct_1(G) &  (v1_funct_2(G, E, k6_numbers) &  (v10_valued_0(G) &  (v6_supinf_2(G) &  (v4_measure1(G, C, E) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(E, k6_numbers)))) ) ) ) )  & m2_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(B, C)), k9_prob_1(k2_zfmisc_1(B, C), k3_measur10(B, C, D, E)))) ) ) ) ) )  =>  (r2_hidden(A, a_7_0_measur11(B, C, D, E, F, G, H)) <=>  (? [I] :  (m2_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(B, C)), k9_prob_1(k2_zfmisc_1(B, C), k3_measur10(B, C, D, E))) &  (A=I & k7_mesfunc5(B, D, F, k19_measur11(B, C, D, E, G, k2_measure1(k2_zfmisc_1(B, C), k9_prob_1(k2_zfmisc_1(B, C), k3_measur10(B, C, D, E)), I, H)))=k12_supinf_2(k6_measur11(B, C, D, E, F, G), k2_measure1(k2_zfmisc_1(B, C), k9_prob_1(k2_zfmisc_1(B, C), k3_measur10(B, C, D, E)), I, H))) ) ) ) ) ) ).
fof(fraenkel_a_7_1_measur11, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( ( ~ (v1_xboole_0(E))  &  (v1_prob_1(E, C) &  (v4_prob_1(E, C) & m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(C)))) ) )  &  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  &  ( (v1_funct_1(G) &  (v1_funct_2(G, E, k6_numbers) &  (v10_valued_0(G) &  (v6_supinf_2(G) &  (v4_measure1(G, C, E) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(E, k6_numbers)))) ) ) ) )  & m2_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(B, C)), k9_prob_1(k2_zfmisc_1(B, C), k3_measur10(B, C, D, E)))) ) ) ) ) )  =>  (r2_hidden(A, a_7_1_measur11(B, C, D, E, F, G, H)) <=>  (? [I] :  (m2_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(B, C)), k9_prob_1(k2_zfmisc_1(B, C), k3_measur10(B, C, D, E))) &  (A=I & k7_mesfunc5(C, E, G, k20_measur11(B, C, D, E, F, k2_measure1(k2_zfmisc_1(B, C), k9_prob_1(k2_zfmisc_1(B, C), k3_measur10(B, C, D, E)), I, H)))=k12_supinf_2(k6_measur11(B, C, D, E, F, G), k2_measure1(k2_zfmisc_1(B, C), k9_prob_1(k2_zfmisc_1(B, C), k3_measur10(B, C, D, E)), I, H))) ) ) ) ) ) ).
fof(fc1_measure1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  ~ (v1_xboole_0(k7_setfam_1(A, B))) ) ) ).
fof(cc1_measure1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  ( (v1_finsub_1(B) & v1_prob_1(B, A))  => v2_finsub_1(B)) ) ) ) ).
fof(cc2_measure1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  ( (v2_finsub_1(B) & v1_prob_1(B, A))  => v1_finsub_1(B)) ) ) ) ).
fof(cc3_measure1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  ( (v2_finsub_1(B) & v1_prob_1(B, A))  => v3_finsub_1(B)) ) ) ) ).
fof(rc1_measure1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_finsub_1(B) &  (v1_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers))) &  (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v5_relat_1(C, k6_numbers) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v1_partfun1(C, B) &  (v1_funct_2(C, B, k6_numbers) &  (v2_valued_0(C) &  (v10_valued_0(C) &  (v6_supinf_2(C) & v2_measure1(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_measure1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) &  ( ~ (v1_xboole_0(B))  &  (v2_finsub_1(B) & v1_prob_1(B, A)) ) ) ) ) ).
fof(rc3_measure1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) &  ( ~ (v1_xboole_0(B))  & v4_card_3(B)) ) ) ) ).
fof(rc4_measure1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) &  ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) & v3_measure1(B, A)) ) ) ) ) ).
fof(cc4_measure1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  ( (v1_prob_1(B, A) & v4_prob_1(B, A))  => v3_measure1(B, A)) ) ) ) ).
fof(cc5_measure1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  ( (v1_prob_1(B, A) & v3_measure1(B, A))  => v4_prob_1(B, A)) ) ) ) ).
fof(cc6_measure1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) & v4_prob_1(B, A)) )  =>  ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) & v4_prob_1(B, A)) ) ) ) ) ) ).
fof(rc5_measure1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B))) &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, B) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v1_partfun1(C, k4_ordinal1) &  (v1_funct_2(C, k4_ordinal1, B) & v1_prob_2(C)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc6_measure1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers))) &  (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v5_relat_1(C, k6_numbers) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v1_partfun1(C, B) &  (v1_funct_2(C, B, k6_numbers) &  (v2_valued_0(C) &  (v10_valued_0(C) &  (v6_supinf_2(C) & v4_measure1(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc7_measure1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) & v3_measure1(B, A)) )  =>  ( ~ (v1_xboole_0(B))  & v1_finsub_1(B)) ) ) ) ) ).
fof(cc8_measure1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers))) =>  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) & v4_measure1(C, A, B)) ) ) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) & v2_measure1(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(t1_measure1, axiom,  (! [A] :  (! [B] : k3_tarski(k1_enumset1(A, B, k1_xboole_0))=k3_tarski(k2_tarski(A, B))) ) ).
fof(t2_measure1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => m1_subset_1(k2_tarski(B, C), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ) ) ).
fof(t3_measure1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) => m1_subset_1(k1_enumset1(B, C, D), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ) ) ) ) ).
fof(t4_measure1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  (k6_setfam_1(A, B)=k6_subset_1(A, k5_setfam_1(A, k7_setfam_1(A, B))) & k5_setfam_1(A, B)=k6_subset_1(A, k6_setfam_1(A, k7_setfam_1(A, B)))) ) ) ) ).
fof(d1_measure1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (v1_prob_1(B, A) <=>  (! [C] :  (r2_tarski(C, B) => r2_tarski(k6_subset_1(A, C), B)) ) ) ) ) ) ).
fof(t5_measure1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_finsub_1(B) &  (v1_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  => B=k7_setfam_1(A, B)) ) ) ).
fof(t6_measure1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_finsub_1(B) &  (v1_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (! [D] :  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k6_subset_1(C, D), B)) ) ) ) ) ) ).
fof(t7_measure1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_finsub_1(B) &  (v1_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (r2_tarski(k1_xboole_0, B) & r2_tarski(A, B)) ) ) ) ).
fof(d2_measure1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  (v6_supinf_2(B) <=>  (! [C] :  (m1_subset_1(C, A) => r1_xxreal_0(k1_supinf_2, k12_supinf_2(B, C))) ) ) ) ) ) ) ).
fof(d3_measure1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) )  =>  (v2_measure1(C, A, B) <=>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  ( (r1_xboole_0(D, E) & r2_tarski(k1_finsub_1(k1_zfmisc_1(A), D, E), B))  => k12_supinf_2(C, k1_finsub_1(k1_zfmisc_1(A), D, E))=k3_supinf_2(k12_supinf_2(C, D), k12_supinf_2(C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_measure1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_finsub_1(B) &  (v1_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (r1_tarski(D, E) => r1_xxreal_0(k12_supinf_2(C, D), k12_supinf_2(C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t9_measure1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_finsub_1(B) &  (v1_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (r1_tarski(D, E) =>  (r1_xxreal_0(k1_supinf_1, k12_supinf_2(C, D)) | k12_supinf_2(C, k2_finsub_1(B, E, D))=k4_supinf_2(k12_supinf_2(C, E), k12_supinf_2(C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_measure1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_finsub_1(B) &  (v1_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) => r1_xxreal_0(k12_supinf_2(C, k1_measure1(A, B, D, E)), k3_supinf_2(k12_supinf_2(C, D), k12_supinf_2(C, E)))) ) ) ) ) ) ) ) ) ).
fof(t11_measure1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_finsub_1(B) &  (v1_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (r2_tarski(k1_xboole_0, B) &  (r2_tarski(A, B) &  (! [D] :  (! [E] :  ( (r2_tarski(D, B) & r2_tarski(E, B))  =>  (r2_tarski(k6_subset_1(A, D), B) &  (r2_tarski(k2_xboole_0(D, E), B) & r2_tarski(k3_xboole_0(D, E), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_measure1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_finsub_1(B) &  (v1_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (m1_measure1(D, A, B, C) <=> k12_supinf_2(C, D)=k1_supinf_2) ) ) ) ) ) ) ) ).
fof(t12_measure1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_finsub_1(B) &  (v1_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (m1_measure1(E, A, B, C) =>  (r1_tarski(D, E) => m1_measure1(D, A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t13_measure1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_finsub_1(B) &  (v1_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m1_measure1(D, A, B, C) =>  (! [E] :  (m1_measure1(E, A, B, C) =>  (m1_measure1(k1_measure1(A, B, D, E), A, B, C) &  (m1_measure1(k2_measure1(A, B, D, E), A, B, C) & m1_measure1(k3_measure1(A, B, D, E), A, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_measure1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_finsub_1(B) &  (v1_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (m1_measure1(E, A, B, C) =>  (k12_supinf_2(C, k1_measure1(A, B, D, E))=k12_supinf_2(C, D) &  (k12_supinf_2(C, k2_measure1(A, B, D, E))=k1_supinf_2 & k12_supinf_2(C, k3_measure1(A, B, D, E))=k12_supinf_2(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_measure1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  & k2_relset_1(k9_setfam_1(A), C)=k1_tarski(B)) ) ) ) ) ).
fof(t16_measure1, axiom,  (! [A] :  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_tarski(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_tarski(A))))) )  &  (! [C] :  (m1_subset_1(C, k4_ordinal1) => k8_nat_1(k1_tarski(A), B, C)=A) ) ) ) ) ).
fof(t17_measure1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  &  (k2_relset_1(k9_setfam_1(A), E)=k1_enumset1(B, C, D) &  (k1_prob_2(A, k9_setfam_1(A), E, k5_numbers)=B &  (k1_prob_2(A, k9_setfam_1(A), E, 1)=C &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  ( ~ (r1_xxreal_0(F, 1))  => k1_prob_2(A, k9_setfam_1(A), E, F)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_measure1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  ( ~ (v1_xboole_0(k1_enumset1(B, C, k1_xboole_0)))  &  (v4_card_3(k1_enumset1(B, C, k1_xboole_0)) & m1_subset_1(k1_enumset1(B, C, k1_xboole_0), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ) ) ) ) ).
fof(t19_measure1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  &  (k2_relset_1(k9_setfam_1(A), D)=k2_tarski(B, C) &  (k1_prob_2(A, k9_setfam_1(A), D, k5_numbers)=B &  (! [E] :  (v7_ordinal1(E) =>  ( ~ (r1_xxreal_0(E, k5_numbers))  => k1_prob_2(A, k9_setfam_1(A), D, E)=C) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_measure1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  ( ~ (v1_xboole_0(k2_tarski(B, C)))  &  (v4_card_3(k2_tarski(B, C)) & m1_subset_1(k2_tarski(B, C), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ) ) ) ) ).
fof(t21_measure1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v4_card_3(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) )  =>  ( ~ (v1_xboole_0(k7_setfam_1(A, B)))  &  (v4_card_3(k7_setfam_1(A, B)) & m1_subset_1(k7_setfam_1(A, B), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ) ) ).
fof(d5_measure1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (v3_measure1(B, A) <=>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v4_card_3(C) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) )  =>  (r1_tarski(C, B) => r2_tarski(k5_setfam_1(A, C), B)) ) ) ) ) ) ) ).
fof(t22_measure1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  ( ( (! [C] :  (r2_tarski(C, B) => r2_tarski(k6_subset_1(A, C), B)) )  &  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v4_card_3(C) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) )  =>  (r1_tarski(C, B) => r2_tarski(k6_setfam_1(A, C), B)) ) ) )  <=>  ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ) ) ) ) ).
fof(t23_measure1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  ( ~ (v1_xboole_0(k4_measure1(A, B, C)))  &  (v4_card_3(k4_measure1(A, B, C)) & m1_subset_1(k4_measure1(A, B, C), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ) ) ) ) ).
fof(t24_measure1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  => m2_subset_1(k5_setfam_1(A, k4_measure1(A, B, C)), k1_zfmisc_1(A), B)) ) ) ) ) ).
fof(t25_measure1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k6_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) )  =>  (v6_supinf_2(D) => v6_supinf_2(k1_partfun1(A, B, B, k6_numbers, C, D))) ) ) ) ) ) ) ) ) ).
fof(t26_measure1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, k6_numbers) =>  (! [D] :  (m1_subset_1(D, k6_numbers) =>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, k6_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) )  &  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ( (F=k1_xboole_0 => k12_supinf_2(E, F)=C)  &  ( ~ (F=k1_xboole_0)  => k12_supinf_2(E, F)=D) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_measure1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) )  &  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  ( (D=k1_xboole_0 => k12_supinf_2(C, D)=k1_supinf_2)  &  ( ~ (D=k1_xboole_0)  => k12_supinf_2(C, D)=k1_supinf_1) ) ) ) ) ) ) ) ) ).
fof(t28_measure1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) )  &  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) => k12_supinf_2(C, D)=k1_supinf_2) ) ) ) ) ) ) ).
fof(d6_measure1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) )  =>  (v4_measure1(C, A, B) <=>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) &  (v1_prob_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) )  => k17_supinf_2(k1_partfun1(k4_ordinal1, B, B, k6_numbers, D, C))=k12_supinf_2(C, k5_setfam_1(A, k4_measure1(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t29_measure1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) ) ) ) ) ) ).
fof(t30_measure1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (r1_xboole_0(D, E) => k12_supinf_2(C, k1_measure1(A, B, D, E))=k3_supinf_2(k12_supinf_2(C, D), k12_supinf_2(C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t31_measure1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (r1_tarski(D, E) => r1_xxreal_0(k12_supinf_2(C, D), k12_supinf_2(C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t32_measure1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (r1_tarski(D, E) =>  (r1_xxreal_0(k1_supinf_1, k12_supinf_2(C, D)) | k12_supinf_2(C, k3_measure1(A, B, E, D))=k4_supinf_2(k12_supinf_2(C, E), k12_supinf_2(C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_measure1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) => r1_xxreal_0(k12_supinf_2(C, k1_measure1(A, B, D, E)), k3_supinf_2(k12_supinf_2(C, D), k12_supinf_2(C, E)))) ) ) ) ) ) ) ) ) ).
fof(t34_measure1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (r2_tarski(k1_xboole_0, B) &  (r2_tarski(A, B) &  (! [D] :  (! [E] :  ( (r2_tarski(D, B) & r2_tarski(E, B))  =>  (r2_tarski(k6_subset_1(A, D), B) &  (r2_tarski(k2_xboole_0(D, E), B) & r2_tarski(k3_xboole_0(D, E), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_measure1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v4_card_3(D) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(A)))) )  =>  ( (! [E] :  (r2_tarski(E, D) => r2_tarski(E, B)) )  =>  (r2_tarski(k5_setfam_1(A, D), B) & r2_tarski(k6_setfam_1(A, D), B)) ) ) ) ) ) ) ) ) ).
fof(d7_measure1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (m2_measure1(D, A, B, C) <=> k12_supinf_2(C, D)=k1_supinf_2) ) ) ) ) ) ) ) ).
fof(t36_measure1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (m2_measure1(E, A, B, C) =>  (r1_tarski(D, E) => m2_measure1(D, A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t37_measure1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_measure1(D, A, B, C) =>  (! [E] :  (m2_measure1(E, A, B, C) =>  (m2_measure1(k1_measure1(A, B, D, E), A, B, C) &  (m2_measure1(k2_measure1(A, B, D, E), A, B, C) & m2_measure1(k3_measure1(A, B, D, E), A, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_measure1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (m2_measure1(E, A, B, C) =>  (k12_supinf_2(C, k1_measure1(A, B, D, E))=k12_supinf_2(C, D) &  (k12_supinf_2(C, k2_measure1(A, B, D, E))=k1_supinf_2 & k12_supinf_2(C, k3_measure1(A, B, D, E))=k12_supinf_2(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_measure1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_finsub_1(B) &  (v1_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) )  =>  (v2_measure1(C, A, B) <=>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (r1_xboole_0(D, E) => k12_supinf_2(C, k1_measure1(A, B, D, E))=k3_supinf_2(k12_supinf_2(C, D), k12_supinf_2(C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_measure1, axiom,  ( (? [A] :  (r1_tarski(A, f1_s1_measure1) & p1_s1_measure1(A)) )  =>  (? [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k1_zfmisc_1(f1_s1_measure1))))  &  (! [B] :  (r2_tarski(B, A) <=>  (r1_tarski(B, f1_s1_measure1) & p1_s1_measure1(B)) ) ) ) ) ) ).
fof(redefinition_v1_measure1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) )  =>  (v1_measure1(B, A) <=> v6_supinf_2(B)) ) ) ).
fof(dt_k1_measure1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) )  &  (m1_subset_1(C, B) & m1_subset_1(D, B)) )  => m2_subset_1(k1_measure1(A, B, C, D), k1_zfmisc_1(A), B)) ) ).
fof(commutativity_k1_measure1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) )  &  (m1_subset_1(C, B) & m1_subset_1(D, B)) )  => k1_measure1(A, B, C, D)=k1_measure1(A, B, D, C)) ) ).
fof(idempotence_k1_measure1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) )  &  (m1_subset_1(C, B) & m1_subset_1(D, B)) )  => k1_measure1(A, B, C, C)=C) ) ).
fof(redefinition_k1_measure1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) )  &  (m1_subset_1(C, B) & m1_subset_1(D, B)) )  => k1_measure1(A, B, C, D)=k2_xboole_0(C, D)) ) ).
fof(dt_k2_measure1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v2_finsub_1(B) &  (v1_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m1_subset_1(C, B) & m1_subset_1(D, B)) )  => m2_subset_1(k2_measure1(A, B, C, D), k1_zfmisc_1(A), B)) ) ).
fof(commutativity_k2_measure1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v2_finsub_1(B) &  (v1_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m1_subset_1(C, B) & m1_subset_1(D, B)) )  => k2_measure1(A, B, C, D)=k2_measure1(A, B, D, C)) ) ).
fof(idempotence_k2_measure1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v2_finsub_1(B) &  (v1_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m1_subset_1(C, B) & m1_subset_1(D, B)) )  => k2_measure1(A, B, C, C)=C) ) ).
fof(redefinition_k2_measure1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v2_finsub_1(B) &  (v1_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m1_subset_1(C, B) & m1_subset_1(D, B)) )  => k2_measure1(A, B, C, D)=k3_xboole_0(C, D)) ) ).
fof(dt_k3_measure1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v2_finsub_1(B) &  (v1_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m1_subset_1(C, B) & m1_subset_1(D, B)) )  => m2_subset_1(k3_measure1(A, B, C, D), k1_zfmisc_1(A), B)) ) ).
fof(redefinition_k3_measure1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v2_finsub_1(B) &  (v1_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m1_subset_1(C, B) & m1_subset_1(D, B)) )  => k3_measure1(A, B, C, D)=k4_xboole_0(C, D)) ) ).
fof(dt_m1_measure1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  (v2_finsub_1(B) &  (v1_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) )  =>  (! [D] :  (m1_measure1(D, A, B, C) => m2_subset_1(D, k1_zfmisc_1(A), B)) ) ) ) ).
fof(existence_m1_measure1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  (v2_finsub_1(B) &  (v1_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) )  =>  (? [D] : m1_measure1(D, A, B, C)) ) ) ).
fof(dt_k4_measure1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) )  =>  ( ~ (v1_xboole_0(k4_measure1(A, B, C)))  & m1_subset_1(k4_measure1(A, B, C), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ).
fof(redefinition_k4_measure1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) )  => k4_measure1(A, B, C)=k10_xtuple_0(C)) ) ).
fof(dt_m2_measure1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) )  =>  (! [D] :  (m2_measure1(D, A, B, C) => m2_subset_1(D, k1_zfmisc_1(A), B)) ) ) ) ).
fof(existence_m2_measure1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) )  =>  (? [D] : m2_measure1(D, A, B, C)) ) ) ).
fof(rc1_measure2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (? [C] :  (m1_measure2(C, A, B) &  ( ~ (v1_xboole_0(C))  &  (v4_card_3(C) & v1_measure2(C, A, B)) ) ) ) ) ) ).
fof(rc2_measure2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (? [C] :  (m1_measure2(C, A, B) &  ( ~ (v1_xboole_0(C))  &  (v4_card_3(C) & v2_measure2(C, A, B)) ) ) ) ) ) ).
fof(t1_measure2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  => v6_supinf_2(k1_partfun1(k4_ordinal1, B, B, k6_numbers, D, C))) ) ) ) ) ) ) ).
fof(d1_measure2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v4_card_3(C) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) )  =>  (m1_measure2(C, A, B) <=> r1_tarski(C, B)) ) ) ) ) ) ).
fof(t2_measure2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_measure2(C, A, B) =>  (r2_tarski(k6_setfam_1(A, C), B) & r2_tarski(k5_setfam_1(A, C), B)) ) ) ) ) ) ).
fof(t3_measure2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  &  (k8_nat_1(B, D, k5_numbers)=k8_nat_1(B, C, k5_numbers) &  (! [E] :  (v7_ordinal1(E) => k8_nat_1(B, D, k1_nat_1(E, 1))=k3_measure1(A, B, k8_nat_1(B, C, k1_nat_1(E, 1)), k8_nat_1(B, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t4_measure2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  &  (k8_nat_1(B, D, k5_numbers)=k8_nat_1(B, C, k5_numbers) &  (! [E] :  (v7_ordinal1(E) => k8_nat_1(B, D, k1_nat_1(E, 1))=k1_measure1(A, B, k8_nat_1(B, C, k1_nat_1(E, 1)), k8_nat_1(B, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t5_measure2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  ( (k8_nat_1(B, D, k5_numbers)=k8_nat_1(B, C, k5_numbers) &  (! [E] :  (v7_ordinal1(E) => k8_nat_1(B, D, k1_nat_1(E, 1))=k2_xboole_0(k8_nat_1(B, C, k1_nat_1(E, 1)), k8_nat_1(B, D, E))) ) )  =>  (! [E] :  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(E, k8_nat_1(B, D, F)) <=>  (? [G] :  (v7_ordinal1(G) &  (r1_xxreal_0(G, F) & r2_tarski(E, k8_nat_1(B, C, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_measure2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  ( (k8_nat_1(B, D, k5_numbers)=k8_nat_1(B, C, k5_numbers) &  (! [E] :  (v7_ordinal1(E) => k8_nat_1(B, D, k1_nat_1(E, 1))=k2_xboole_0(k8_nat_1(B, C, k1_nat_1(E, 1)), k8_nat_1(B, D, E))) ) )  =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( ~ (r1_xxreal_0(F, E))  => r1_tarski(k8_nat_1(B, D, E), k8_nat_1(B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_measure2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  ( (k8_nat_1(B, D, k5_numbers)=k8_nat_1(B, C, k5_numbers) &  ( (! [F] :  (v7_ordinal1(F) => k8_nat_1(B, D, k1_nat_1(F, 1))=k2_xboole_0(k8_nat_1(B, C, k1_nat_1(F, 1)), k8_nat_1(B, D, F))) )  &  (k8_nat_1(B, E, k5_numbers)=k8_nat_1(B, C, k5_numbers) &  (! [F] :  (v7_ordinal1(F) => k8_nat_1(B, E, k1_nat_1(F, 1))=k6_subset_1(k8_nat_1(B, C, k1_nat_1(F, 1)), k8_nat_1(B, D, F))) ) ) ) )  =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  (r1_xxreal_0(F, G) => r1_tarski(k8_nat_1(B, E, F), k8_nat_1(B, D, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_measure2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  &  (k8_nat_1(B, E, k5_numbers)=k8_nat_1(B, C, k5_numbers) &  (! [F] :  (v7_ordinal1(F) => k8_nat_1(B, E, k1_nat_1(F, 1))=k3_measure1(A, B, k8_nat_1(B, C, k1_nat_1(F, 1)), k8_nat_1(B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_measure2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  &  (k8_nat_1(B, D, k5_numbers)=k1_xboole_0 &  (! [E] :  (v7_ordinal1(E) => k8_nat_1(B, D, k1_nat_1(E, 1))=k3_measure1(A, B, k8_nat_1(B, C, k5_numbers), k8_nat_1(B, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t10_measure2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  ( (k8_nat_1(B, D, k5_numbers)=k8_nat_1(B, C, k5_numbers) &  ( (! [F] :  (v7_ordinal1(F) => k8_nat_1(B, D, k1_nat_1(F, 1))=k1_measure1(A, B, k8_nat_1(B, C, k1_nat_1(F, 1)), k8_nat_1(B, D, F))) )  &  (k8_nat_1(B, E, k5_numbers)=k8_nat_1(B, C, k5_numbers) &  (! [F] :  (v7_ordinal1(F) => k8_nat_1(B, E, k1_nat_1(F, 1))=k3_measure1(A, B, k8_nat_1(B, C, k1_nat_1(F, 1)), k8_nat_1(B, D, F))) ) ) ) )  =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ( ~ (r1_xxreal_0(G, F))  => r1_xboole_0(k8_nat_1(B, E, F), k8_nat_1(B, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_measure2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m1_measure2(D, A, B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (D=k4_measure1(A, B, E) => r1_xxreal_0(k3_funct_2(B, k6_numbers, C, k2_measure2(A, B, D)), k17_supinf_2(k1_partfun1(k4_ordinal1, B, B, k6_numbers, E, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t12_measure2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_measure2(C, A, B) =>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  & C=k4_measure1(A, B, D)) ) ) ) ) ) ) ).
fof(t13_measure2, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (k1_funct_1(B, k5_numbers)=k1_xboole_0 &  (! [C] :  (v7_ordinal1(C) =>  (k1_funct_1(B, k1_nat_1(C, 1))=k6_subset_1(k1_funct_1(A, k5_numbers), k1_funct_1(A, C)) & r1_tarski(k1_funct_1(A, k1_nat_1(C, 1)), k1_funct_1(A, C))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) => r1_tarski(k1_funct_1(B, C), k1_funct_1(B, k1_nat_1(C, 1)))) ) ) ) ) ) ) ).
fof(t14_measure2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m1_measure2(D, A, B) =>  ( (! [E] :  (r2_tarski(E, D) => m2_measure1(E, A, B, C)) )  => m2_measure1(k2_measure2(A, B, D), A, B, C)) ) ) ) ) ) ) ) ).
fof(t15_measure2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m1_measure2(D, A, B) =>  ( (? [E] :  (r2_tarski(E, D) & m2_measure1(E, A, B, C)) )  => m2_measure1(k1_measure2(A, B, D), A, B, C)) ) ) ) ) ) ) ) ).
fof(t16_measure2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m1_measure2(D, A, B) =>  ( (! [E] :  (r2_tarski(E, D) => m2_measure1(E, A, B, C)) )  => m2_measure1(k1_measure2(A, B, D), A, B, C)) ) ) ) ) ) ) ) ).
fof(d2_measure2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_measure2(C, A, B) =>  (v1_measure2(C, A, B) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  &  (C=k4_measure1(A, B, D) &  (! [E] :  (v7_ordinal1(E) => r1_tarski(k8_nat_1(B, D, E), k8_nat_1(B, D, k1_nat_1(E, 1)))) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_measure2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_measure2(C, A, B) =>  (v2_measure2(C, A, B) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  &  (C=k4_measure1(A, B, D) &  (! [E] :  (m1_subset_1(E, k4_ordinal1) => r1_tarski(k8_nat_1(B, D, k1_nat_1(E, 1)), k8_nat_1(B, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_measure2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  ( (k8_nat_1(B, D, k5_numbers)=k1_xboole_0 &  (! [E] :  (v7_ordinal1(E) =>  (k8_nat_1(B, D, k1_nat_1(E, 1))=k3_measure1(A, B, k8_nat_1(B, C, k5_numbers), k8_nat_1(B, C, E)) & r1_tarski(k8_nat_1(B, C, k1_nat_1(E, 1)), k8_nat_1(B, C, E))) ) ) )  =>  (v1_measure2(k4_measure1(A, B, D), A, B) & m1_measure2(k4_measure1(A, B, D), A, B)) ) ) ) ) ) ) ) ) ).
fof(t18_measure2, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  ( (! [B] :  (v7_ordinal1(B) => r1_tarski(k1_funct_1(A, B), k1_funct_1(A, k1_nat_1(B, 1)))) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(C, B) => r1_tarski(k1_funct_1(A, C), k1_funct_1(A, B))) ) ) ) ) ) ) ) ).
fof(t19_measure2, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (k1_funct_1(B, k5_numbers)=k1_funct_1(A, k5_numbers) &  (! [C] :  (v7_ordinal1(C) =>  (k1_funct_1(B, k1_nat_1(C, 1))=k6_subset_1(k1_funct_1(A, k1_nat_1(C, 1)), k1_funct_1(A, C)) & r1_tarski(k1_funct_1(A, C), k1_funct_1(A, k1_nat_1(C, 1)))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( ~ (r1_xxreal_0(D, C))  => r1_xboole_0(k1_funct_1(B, C), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t20_measure2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  ( (k8_nat_1(B, D, k5_numbers)=k8_nat_1(B, C, k5_numbers) &  (! [E] :  (v7_ordinal1(E) =>  (k8_nat_1(B, D, k1_nat_1(E, 1))=k3_measure1(A, B, k8_nat_1(B, C, k1_nat_1(E, 1)), k8_nat_1(B, C, E)) & r1_tarski(k8_nat_1(B, C, E), k8_nat_1(B, C, k1_nat_1(E, 1)))) ) ) )  => k5_setfam_1(A, k4_measure1(A, B, D))=k5_setfam_1(A, k4_measure1(A, B, C))) ) ) ) ) ) ) ) ).
fof(t21_measure2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  ( (k8_nat_1(B, D, k5_numbers)=k8_nat_1(B, C, k5_numbers) &  (! [E] :  (v7_ordinal1(E) =>  (k8_nat_1(B, D, k1_nat_1(E, 1))=k3_measure1(A, B, k8_nat_1(B, C, k1_nat_1(E, 1)), k8_nat_1(B, C, E)) & r1_tarski(k8_nat_1(B, C, E), k8_nat_1(B, C, k1_nat_1(E, 1)))) ) ) )  =>  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) &  (v1_prob_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_measure2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  ( (k8_nat_1(B, D, k5_numbers)=k8_nat_1(B, C, k5_numbers) &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (k8_nat_1(B, D, k1_nat_1(E, 1))=k3_measure1(A, B, k8_nat_1(B, C, k1_nat_1(E, 1)), k8_nat_1(B, C, E)) & r1_tarski(k8_nat_1(B, C, E), k8_nat_1(B, C, k1_nat_1(E, 1)))) ) ) )  =>  (k8_nat_1(B, C, k5_numbers)=k8_nat_1(B, D, k5_numbers) &  (! [E] :  (m1_subset_1(E, k4_ordinal1) => k8_nat_1(B, C, k1_nat_1(E, 1))=k1_measure1(A, B, k8_nat_1(B, D, k1_nat_1(E, 1)), k8_nat_1(B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_measure2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  ( (! [E] :  (v7_ordinal1(E) => r1_tarski(k8_nat_1(B, D, E), k8_nat_1(B, D, k1_nat_1(E, 1)))) )  => k1_funct_1(C, k5_setfam_1(A, k4_measure1(A, B, D)))=k8_supinf_2(k15_supinf_2(k1_partfun1(k4_ordinal1, B, B, k6_numbers, D, C)))) ) ) ) ) ) ) ) ).
fof(dt_m1_measure2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_measure2(C, A, B) =>  ( ~ (v1_xboole_0(C))  &  (v4_card_3(C) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ) ) ) ).
fof(existence_m1_measure2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (? [C] : m1_measure2(C, A, B)) ) ) ).
fof(dt_k1_measure2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  & m1_measure2(C, A, B))  => m2_subset_1(k1_measure2(A, B, C), k1_zfmisc_1(A), B)) ) ).
fof(redefinition_k1_measure2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  & m1_measure2(C, A, B))  => k1_measure2(A, B, C)=k1_setfam_1(C)) ) ).
fof(dt_k2_measure2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  & m1_measure2(C, A, B))  => m2_subset_1(k2_measure2(A, B, C), k1_zfmisc_1(A), B)) ) ).
fof(redefinition_k2_measure2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  & m1_measure2(C, A, B))  => k2_measure2(A, B, C)=k3_tarski(C)) ) ).
fof(fc1_measure3, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k2_measure3(A, B, C)))  &  (v1_prob_1(k2_measure3(A, B, C), A) & v3_measure1(k2_measure3(A, B, C), A)) ) ) ) ).
fof(t1_measure3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( (! [C] :  (m1_subset_1(C, k4_ordinal1) => r1_xxreal_0(k12_supinf_2(k16_supinf_2(A), C), k12_supinf_2(k16_supinf_2(B), C))) )  => r1_xxreal_0(k17_supinf_2(A), k17_supinf_2(B))) ) ) ) ) ).
fof(t2_measure3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( (! [C] :  (m1_subset_1(C, k4_ordinal1) => k12_supinf_2(k16_supinf_2(A), C)=k12_supinf_2(k16_supinf_2(B), C)) )  => k17_supinf_2(A)=k17_supinf_2(B)) ) ) ) ) ).
fof(t3_measure3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  ( (r1_tarski(k1_measure2(A, B, k1_measure3(A, B, D)), E) &  (! [F] :  (m1_subset_1(F, k4_ordinal1) => r1_tarski(E, k8_nat_1(B, D, F))) ) )  => k12_supinf_2(C, E)=k12_supinf_2(C, k1_measure2(A, B, k1_measure3(A, B, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t4_measure3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  ( (k8_nat_1(B, C, k5_numbers)=k1_xboole_0 &  (! [E] :  (v7_ordinal1(E) =>  (k8_nat_1(B, C, k1_nat_1(E, 1))=k3_measure1(A, B, k8_nat_1(B, D, k5_numbers), k8_nat_1(B, D, E)) & r1_tarski(k8_nat_1(B, D, k1_nat_1(E, 1)), k8_nat_1(B, D, E))) ) ) )  => k2_measure2(A, B, k1_measure3(A, B, C))=k3_measure1(A, B, k8_nat_1(B, D, k5_numbers), k1_measure2(A, B, k1_measure3(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t5_measure3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  ( (k8_nat_1(B, C, k5_numbers)=k1_xboole_0 &  (! [E] :  (v7_ordinal1(E) =>  (k8_nat_1(B, C, k1_nat_1(E, 1))=k3_measure1(A, B, k8_nat_1(B, D, k5_numbers), k8_nat_1(B, D, E)) & r1_tarski(k8_nat_1(B, D, k1_nat_1(E, 1)), k8_nat_1(B, D, E))) ) ) )  => k1_measure2(A, B, k1_measure3(A, B, D))=k3_measure1(A, B, k8_nat_1(B, D, k5_numbers), k2_measure2(A, B, k1_measure3(A, B, C)))) ) ) ) ) ) ) ) ).
fof(t6_measure3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  ( (k8_nat_1(B, D, k5_numbers)=k1_xboole_0 &  (! [F] :  (v7_ordinal1(F) =>  (k8_nat_1(B, D, k1_nat_1(F, 1))=k3_measure1(A, B, k8_nat_1(B, E, k5_numbers), k8_nat_1(B, E, F)) & r1_tarski(k8_nat_1(B, E, k1_nat_1(F, 1)), k8_nat_1(B, E, F))) ) ) )  =>  (r1_xxreal_0(k1_supinf_1, k12_supinf_2(C, k8_nat_1(B, E, k5_numbers))) | k12_supinf_2(C, k1_measure2(A, B, k1_measure3(A, B, E)))=k4_supinf_2(k12_supinf_2(C, k8_nat_1(B, E, k5_numbers)), k12_supinf_2(C, k2_measure2(A, B, k1_measure3(A, B, D))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_measure3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  ( (k8_nat_1(B, D, k5_numbers)=k1_xboole_0 &  (! [F] :  (v7_ordinal1(F) =>  (k8_nat_1(B, D, k1_nat_1(F, 1))=k3_measure1(A, B, k8_nat_1(B, E, k5_numbers), k8_nat_1(B, E, F)) & r1_tarski(k8_nat_1(B, E, k1_nat_1(F, 1)), k8_nat_1(B, E, F))) ) ) )  =>  (r1_xxreal_0(k1_supinf_1, k12_supinf_2(C, k8_nat_1(B, E, k5_numbers))) | k12_supinf_2(C, k2_measure2(A, B, k1_measure3(A, B, D)))=k4_supinf_2(k12_supinf_2(C, k8_nat_1(B, E, k5_numbers)), k12_supinf_2(C, k1_measure2(A, B, k1_measure3(A, B, E))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_measure3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  ( (k8_nat_1(B, D, k5_numbers)=k1_xboole_0 &  (! [F] :  (v7_ordinal1(F) =>  (k8_nat_1(B, D, k1_nat_1(F, 1))=k3_measure1(A, B, k8_nat_1(B, E, k5_numbers), k8_nat_1(B, E, F)) & r1_tarski(k8_nat_1(B, E, k1_nat_1(F, 1)), k8_nat_1(B, E, F))) ) ) )  =>  (r1_xxreal_0(k1_supinf_1, k12_supinf_2(C, k8_nat_1(B, E, k5_numbers))) | k12_supinf_2(C, k1_measure2(A, B, k1_measure3(A, B, E)))=k4_supinf_2(k12_supinf_2(C, k8_nat_1(B, E, k5_numbers)), k8_supinf_2(k15_supinf_2(k1_partfun1(k4_ordinal1, B, B, k6_numbers, D, C))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_measure3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  ( (k8_nat_1(B, D, k5_numbers)=k1_xboole_0 &  (! [F] :  (v7_ordinal1(F) =>  (k8_nat_1(B, D, k1_nat_1(F, 1))=k3_measure1(A, B, k8_nat_1(B, E, k5_numbers), k8_nat_1(B, E, F)) & r1_tarski(k8_nat_1(B, E, k1_nat_1(F, 1)), k8_nat_1(B, E, F))) ) ) )  =>  (r1_xxreal_0(k1_supinf_1, k12_supinf_2(C, k8_nat_1(B, E, k5_numbers))) |  (r2_tarski(k12_supinf_2(C, k8_nat_1(B, E, k5_numbers)), k1_numbers) &  (r2_tarski(k7_supinf_2(k15_supinf_2(k1_partfun1(k4_ordinal1, B, B, k6_numbers, E, C))), k1_numbers) & r2_tarski(k8_supinf_2(k15_supinf_2(k1_partfun1(k4_ordinal1, B, B, k6_numbers, D, C))), k1_numbers)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_measure3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  ( (k8_nat_1(B, D, k5_numbers)=k1_xboole_0 &  (! [F] :  (v7_ordinal1(F) =>  (k8_nat_1(B, D, k1_nat_1(F, 1))=k3_measure1(A, B, k8_nat_1(B, E, k5_numbers), k8_nat_1(B, E, F)) & r1_tarski(k8_nat_1(B, E, k1_nat_1(F, 1)), k8_nat_1(B, E, F))) ) ) )  =>  (r1_xxreal_0(k1_supinf_1, k12_supinf_2(C, k8_nat_1(B, E, k5_numbers))) | k8_supinf_2(k15_supinf_2(k1_partfun1(k4_ordinal1, B, B, k6_numbers, D, C)))=k4_supinf_2(k12_supinf_2(C, k8_nat_1(B, E, k5_numbers)), k7_supinf_2(k15_supinf_2(k1_partfun1(k4_ordinal1, B, B, k6_numbers, E, C))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_measure3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  ( (k8_nat_1(B, D, k5_numbers)=k1_xboole_0 &  (! [F] :  (v7_ordinal1(F) =>  (k8_nat_1(B, D, k1_nat_1(F, 1))=k3_measure1(A, B, k8_nat_1(B, E, k5_numbers), k8_nat_1(B, E, F)) & r1_tarski(k8_nat_1(B, E, k1_nat_1(F, 1)), k8_nat_1(B, E, F))) ) ) )  =>  (r1_xxreal_0(k1_supinf_1, k12_supinf_2(C, k8_nat_1(B, E, k5_numbers))) | k7_supinf_2(k15_supinf_2(k1_partfun1(k4_ordinal1, B, B, k6_numbers, E, C)))=k4_supinf_2(k12_supinf_2(C, k8_nat_1(B, E, k5_numbers)), k8_supinf_2(k15_supinf_2(k1_partfun1(k4_ordinal1, B, B, k6_numbers, D, C))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_measure3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  ( (! [E] :  (v7_ordinal1(E) => r1_tarski(k8_nat_1(B, D, k1_nat_1(E, 1)), k8_nat_1(B, D, E))) )  =>  (r1_xxreal_0(k1_supinf_1, k12_supinf_2(C, k8_nat_1(B, D, k5_numbers))) | k12_supinf_2(C, k1_measure2(A, B, k1_measure3(A, B, D)))=k7_supinf_2(k15_supinf_2(k1_partfun1(k4_ordinal1, B, B, k6_numbers, D, C)))) ) ) ) ) ) ) ) ) ).
fof(t13_measure3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) &  (v1_prob_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) )  => r1_xxreal_0(k17_supinf_2(k1_partfun1(k4_ordinal1, B, B, k6_numbers, D, C)), k12_supinf_2(C, k2_measure2(A, B, k1_measure3(A, B, D))))) ) ) ) ) ) ) ).
fof(t14_measure3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  ( (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) &  (v1_prob_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) )  => r1_xxreal_0(k12_supinf_2(C, k2_measure2(A, B, k1_measure3(A, B, D))), k17_supinf_2(k1_partfun1(k4_ordinal1, B, B, k6_numbers, D, C)))) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_measure3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (r1_measure3(A, B, C) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (! [E] :  ( (r2_tarski(E, B) &  (r1_tarski(D, E) & k12_supinf_2(C, E)=k1_supinf_2) )  => r2_tarski(D, B)) ) ) ) ) ) ) ) ) ) ).
fof(d2_measure3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (m1_measure3(D, A, B, C) <=>  (? [E] :  (r2_tarski(E, B) &  (r1_tarski(D, E) & k12_supinf_2(C, E)=k1_supinf_2) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_measure3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  (D=k2_measure3(A, B, C) <=>  (! [E] :  (r2_tarski(E, D) <=>  (? [F] :  (r2_tarski(F, B) &  (? [G] :  (m1_measure3(G, A, B, C) & E=k2_xboole_0(F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_measure3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), k2_measure3(A, B, C)) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  (E=k3_measure3(A, B, C, D) <=>  (! [F] :  (r2_tarski(F, E) <=>  (r2_tarski(F, B) &  (r1_tarski(F, D) & m1_measure3(k7_subset_1(A, D, F), A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_measure3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k2_measure3(A, B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_measure3(A, B, C))))) )  =>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  &  (! [F] :  (m1_subset_1(F, k4_ordinal1) => r2_tarski(k8_nat_1(B, E, F), k3_measure3(A, B, C, k8_nat_1(k2_measure3(A, B, C), D, F)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_measure3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k2_measure3(A, B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_measure3(A, B, C))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  &  (! [G] :  (m1_subset_1(G, k4_ordinal1) => k8_nat_1(k9_setfam_1(A), F, G)=k6_subset_1(k8_nat_1(k2_measure3(A, B, C), D, G), k8_nat_1(B, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_measure3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  ~ ( ( (! [E] :  (m1_subset_1(E, k4_ordinal1) => m1_measure3(k8_nat_1(k9_setfam_1(A), D, E), A, B, C)) )  &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  ~ ( (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r1_tarski(k8_nat_1(k9_setfam_1(A), D, F), k8_nat_1(B, E, F)) & k12_supinf_2(C, k8_nat_1(B, E, F))=k1_supinf_2) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_measure3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  ( (! [E] :  (r2_tarski(E, D) <=>  (? [F] :  (r2_tarski(F, B) &  (? [G] :  (m1_measure3(G, A, B, C) & E=k2_xboole_0(F, G)) ) ) ) ) )  =>  ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, A) &  (v4_prob_1(D, A) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_measure3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (! [E] :  ( (r2_tarski(D, B) & r2_tarski(E, B))  =>  (! [F] :  (m1_measure3(F, A, B, C) =>  (! [G] :  (m1_measure3(G, A, B, C) =>  (k2_xboole_0(D, F)=k2_xboole_0(E, G) => k12_supinf_2(C, D)=k12_supinf_2(C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_measure3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_measure3(A, B, C), k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, A, k2_measure3(A, B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_measure3(A, B, C), k6_numbers)))) ) ) ) )  =>  (D=k4_measure3(A, B, C) <=>  (! [E] :  (r2_tarski(E, B) =>  (! [F] :  (m1_measure3(F, A, B, C) => k12_supinf_2(D, k2_xboole_0(E, F))=k12_supinf_2(C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_measure3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  => r1_measure3(A, k2_measure3(A, B, C), k4_measure3(A, B, C))) ) ) ) ) ).
fof(dt_k1_measure3, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) )  => m1_measure2(k1_measure3(A, B, C), A, B)) ) ).
fof(redefinition_k1_measure3, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) )  => k1_measure3(A, B, C)=k10_xtuple_0(C)) ) ).
fof(dt_m1_measure3, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) )  =>  (! [D] :  (m1_measure3(D, A, B, C) => m1_subset_1(D, k1_zfmisc_1(A))) ) ) ) ).
fof(existence_m1_measure3, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) )  =>  (? [D] : m1_measure3(D, A, B, C)) ) ) ).
fof(dt_k2_measure3, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k2_measure3(A, B, C)))  & m1_subset_1(k2_measure3(A, B, C), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ).
fof(dt_k3_measure3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  & m1_subset_1(D, k2_measure3(A, B, C))) )  =>  ( ~ (v1_xboole_0(k3_measure3(A, B, C, D)))  & m1_subset_1(k3_measure3(A, B, C, D), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ).
fof(dt_k4_measure3, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) )  =>  (v1_funct_1(k4_measure3(A, B, C)) &  (v1_funct_2(k4_measure3(A, B, C), k2_measure3(A, B, C), k6_numbers) &  (v10_valued_0(k4_measure3(A, B, C)) &  (v6_supinf_2(k4_measure3(A, B, C)) &  (v4_measure1(k4_measure3(A, B, C), A, k2_measure3(A, B, C)) & m1_subset_1(k4_measure3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_measure3(A, B, C), k6_numbers)))) ) ) ) ) ) ) ).
fof(fc1_measure4, axiom,  (! [A, B] :  (m1_measure4(B, A) =>  ( ~ (v1_xboole_0(k1_measure4(A, B)))  &  (v1_prob_1(k1_measure4(A, B), A) & v3_measure1(k1_measure4(A, B), A)) ) ) ) ).
fof(fc2_measure4, axiom,  (! [A, B] :  (m1_measure4(B, A) =>  (v1_funct_1(k3_measure4(A, B)) &  (v1_funct_2(k3_measure4(A, B), k1_measure4(A, B), k6_numbers) &  (v10_valued_0(k3_measure4(A, B)) &  (v6_supinf_2(k3_measure4(A, B)) & v4_measure1(k3_measure4(A, B), A, k1_measure4(A, B))) ) ) ) ) ) ).
fof(t1_measure4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  ( (! [F] :  (m1_subset_1(F, k4_ordinal1) => k8_nat_1(B, D, F)=k8_subset_1(A, E, k8_nat_1(B, C, F))) )  => k3_tarski(k2_relset_1(B, D))=k8_subset_1(A, E, k3_tarski(k2_relset_1(B, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t2_measure4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  ( (k8_nat_1(B, D, k5_numbers)=k8_nat_1(B, C, k5_numbers) &  (! [E] :  (v7_ordinal1(E) => k8_nat_1(B, D, k1_nat_1(E, 1))=k2_xboole_0(k8_nat_1(B, C, k1_nat_1(E, 1)), k8_nat_1(B, D, E))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  ( (k8_nat_1(B, E, k5_numbers)=k8_nat_1(B, C, k5_numbers) &  (! [F] :  (v7_ordinal1(F) => k8_nat_1(B, E, k1_nat_1(F, 1))=k6_subset_1(k8_nat_1(B, C, k1_nat_1(F, 1)), k8_nat_1(B, D, F))) ) )  => k3_tarski(k2_relset_1(B, C))=k3_tarski(k2_relset_1(B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_measure4, axiom,  (! [A] :  ( ~ (v1_xboole_0(k9_setfam_1(A)))  &  (v1_prob_1(k9_setfam_1(A), A) &  (v4_prob_1(k9_setfam_1(A), A) & m1_subset_1(k9_setfam_1(A), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ) ).
fof(d1_measure4, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k9_setfam_1(A), k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k6_numbers)))) )  =>  (m1_measure4(B, A) <=>  (v6_supinf_2(B) &  (v10_valued_0(B) &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (r1_tarski(C, D) =>  (r1_xxreal_0(k12_supinf_2(B, C), k12_supinf_2(B, D)) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  => r1_xxreal_0(k12_supinf_2(B, k5_setfam_1(A, k2_relset_1(k9_setfam_1(A), E))), k17_supinf_2(k1_partfun1(k4_ordinal1, k9_setfam_1(A), k9_setfam_1(A), k6_numbers, E, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_measure4, axiom,  (! [A] :  (! [B] :  (m1_measure4(B, A) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  (C=k1_measure4(A, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (r2_tarski(D, C) <=>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(A)) =>  ( (r1_tarski(E, D) & r1_tarski(F, k6_subset_1(A, D)))  => r1_xxreal_0(k3_supinf_2(k12_supinf_2(B, E), k12_supinf_2(B, F)), k12_supinf_2(B, k4_subset_1(A, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_measure4, axiom,  (! [A] :  (! [B] :  (m1_measure4(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) => r1_xxreal_0(k12_supinf_2(B, k4_subset_1(A, C, D)), k3_supinf_2(k12_supinf_2(B, C), k12_supinf_2(B, D)))) ) ) ) ) ) ) ).
fof(t5_measure4, axiom,  (! [A] :  (! [B] :  (m1_measure4(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (r2_tarski(C, k1_measure4(A, B)) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  ( (r1_tarski(D, C) & r1_tarski(E, k6_subset_1(A, C)))  => k3_supinf_2(k12_supinf_2(B, D), k12_supinf_2(B, E))=k12_supinf_2(B, k4_subset_1(A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_measure4, axiom,  (! [A] :  (! [B] :  (m1_measure4(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  ( (r2_tarski(C, k1_measure4(A, B)) & r1_xboole_0(D, C))  => k12_supinf_2(B, k4_subset_1(A, C, D))=k3_supinf_2(k12_supinf_2(B, C), k12_supinf_2(B, D))) ) ) ) ) ) ) ) ).
fof(t7_measure4, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_measure4(C, B) =>  (r2_tarski(A, k1_measure4(B, C)) => r2_tarski(k6_subset_1(B, A), k1_measure4(B, C))) ) ) ) ) ).
fof(t8_measure4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_measure4(D, C) =>  ( (r2_tarski(A, k1_measure4(C, D)) & r2_tarski(B, k1_measure4(C, D)))  => r2_tarski(k2_xboole_0(A, B), k1_measure4(C, D))) ) ) ) ) ) ).
fof(t9_measure4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_measure4(D, C) =>  ( (r2_tarski(A, k1_measure4(C, D)) & r2_tarski(B, k1_measure4(C, D)))  => r2_tarski(k3_xboole_0(A, B), k1_measure4(C, D))) ) ) ) ) ) ).
fof(t10_measure4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_measure4(D, C) =>  ( (r2_tarski(A, k1_measure4(C, D)) & r2_tarski(B, k1_measure4(C, D)))  => r2_tarski(k6_subset_1(A, B), k1_measure4(C, D))) ) ) ) ) ) ).
fof(t11_measure4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  &  (! [F] :  (m1_subset_1(F, k4_ordinal1) => k8_nat_1(B, E, F)=k2_measure1(A, B, D, k8_nat_1(B, C, F))) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_measure4, axiom,  (! [A] :  (! [B] :  (m1_measure4(B, A) =>  ( ~ (v1_xboole_0(k1_measure4(A, B)))  &  (v1_prob_1(k1_measure4(A, B), A) &  (v4_prob_1(k1_measure4(A, B), A) & m1_subset_1(k1_measure4(A, B), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ) ) ) ).
fof(d3_measure4, axiom,  (! [A] :  (! [B] :  (m1_measure4(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_measure4(A, B), k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_measure4(A, B), k6_numbers)))) )  =>  (C=k3_measure4(A, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (r2_tarski(D, k1_measure4(A, B)) => k12_supinf_2(C, D)=k12_supinf_2(B, D)) ) ) ) ) ) ) ) ) ).
fof(t13_measure4, axiom,  (! [A] :  (! [B] :  (m1_measure4(B, A) =>  (v1_funct_1(k3_measure4(A, B)) &  (v1_funct_2(k3_measure4(A, B), k1_measure4(A, B), k6_numbers) &  (v10_valued_0(k3_measure4(A, B)) &  (v6_supinf_2(k3_measure4(A, B)) &  (v2_measure1(k3_measure4(A, B), A, k1_measure4(A, B)) & m1_subset_1(k3_measure4(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_measure4(A, B), k6_numbers)))) ) ) ) ) ) ) ) ).
fof(t14_measure4, axiom,  (! [A] :  (! [B] :  (m1_measure4(B, A) =>  (v1_funct_1(k3_measure4(A, B)) &  (v1_funct_2(k3_measure4(A, B), k1_measure4(A, B), k6_numbers) &  (v10_valued_0(k3_measure4(A, B)) &  (v6_supinf_2(k3_measure4(A, B)) &  (v4_measure1(k3_measure4(A, B), A, k1_measure4(A, B)) & m1_subset_1(k3_measure4(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_measure4(A, B), k6_numbers)))) ) ) ) ) ) ) ) ).
fof(t15_measure4, axiom,  (! [A] :  (! [B] :  (m1_measure4(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (k12_supinf_2(B, C)=k1_supinf_2 => r2_tarski(C, k1_measure4(A, B))) ) ) ) ) ) ).
fof(t16_measure4, axiom,  (! [A] :  (! [B] :  (m1_measure4(B, A) => r1_measure3(A, k1_measure4(A, B), k3_measure4(A, B))) ) ) ).
fof(dt_m1_measure4, axiom,  (! [A] :  (! [B] :  (m1_measure4(B, A) =>  (v1_funct_1(B) &  (v1_funct_2(B, k9_setfam_1(A), k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k6_numbers)))) ) ) ) ) ).
fof(existence_m1_measure4, axiom,  (! [A] :  (? [B] : m1_measure4(B, A)) ) ).
fof(dt_k1_measure4, axiom,  (! [A, B] :  (m1_measure4(B, A) =>  ( ~ (v1_xboole_0(k1_measure4(A, B)))  & m1_subset_1(k1_measure4(A, B), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ).
fof(dt_k2_measure4, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  & m1_measure2(C, A, B))  => m2_subset_1(k2_measure4(A, B, C), k1_zfmisc_1(A), B)) ) ).
fof(redefinition_k2_measure4, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  & m1_measure2(C, A, B))  => k2_measure4(A, B, C)=k3_tarski(C)) ) ).
fof(dt_k3_measure4, axiom,  (! [A, B] :  (m1_measure4(B, A) =>  (v1_funct_1(k3_measure4(A, B)) &  (v1_funct_2(k3_measure4(A, B), k1_measure4(A, B), k6_numbers) & m1_subset_1(k3_measure4(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_measure4(A, B), k6_numbers)))) ) ) ) ).
fof(rc1_measure5, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) &  ( ~ (v1_xboole_0(A))  &  (v1_membered(A) &  (v2_membered(A) &  (v3_membered(A) & v1_measure5(A)) ) ) ) ) ) ).
fof(rc2_measure5, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) &  ( ~ (v1_xboole_0(A))  &  (v1_membered(A) &  (v2_membered(A) &  (v3_membered(A) & v2_measure5(A)) ) ) ) ) ) ).
fof(rc3_measure5, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) &  ( ~ (v1_xboole_0(A))  &  (v1_membered(A) &  (v2_membered(A) &  (v3_membered(A) & v3_measure5(A)) ) ) ) ) ) ).
fof(rc4_measure5, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) &  ( ~ (v1_xboole_0(A))  &  (v1_membered(A) &  (v2_membered(A) &  (v3_membered(A) & v4_measure5(A)) ) ) ) ) ) ).
fof(cc1_measure5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (v1_measure5(A) => v6_xxreal_2(A)) ) ) ).
fof(cc2_measure5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (v2_measure5(A) => v6_xxreal_2(A)) ) ) ).
fof(cc3_measure5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (v3_measure5(A) => v6_xxreal_2(A)) ) ) ).
fof(cc4_measure5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (v4_measure5(A) => v6_xxreal_2(A)) ) ) ).
fof(cc5_measure5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (v1_xboole_0(A) => v1_measure5(A)) ) ) ).
fof(d1_measure5, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) =>  (! [B] :  (m1_subset_1(B, k6_numbers) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_numbers)) =>  (C=k1_measure5(A, B) <=>  (! [D] :  (m1_subset_1(D, k6_numbers) =>  (r2_tarski(D, C) <=>  ( ~ (r1_xxreal_0(D, A))  &  ~ (r1_xxreal_0(B, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_measure5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (v1_measure5(A) <=>  (? [B] :  (m1_subset_1(B, k6_numbers) &  (? [C] :  (m1_subset_1(C, k6_numbers) & A=k1_measure5(B, C)) ) ) ) ) ) ) ).
fof(d3_measure5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (v2_measure5(A) <=>  (? [B] :  (v1_xreal_0(B) &  (? [C] :  (v1_xreal_0(C) & A=k1_rcomp_1(B, C)) ) ) ) ) ) ) ).
fof(d4_measure5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (v3_measure5(A) <=>  (? [B] :  (v1_xreal_0(B) &  (? [C] :  (m1_subset_1(C, k6_numbers) & A=k3_rcomp_1(B, C)) ) ) ) ) ) ) ).
fof(d5_measure5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (v4_measure5(A) <=>  (? [B] :  (m1_subset_1(B, k6_numbers) &  (? [C] :  (v1_xreal_0(C) & A=k4_rcomp_1(B, C)) ) ) ) ) ) ) ).
fof(t1_measure5, axiom,  (! [A] :  ( (v6_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ~ ( ( ~ (v1_measure5(A))  &  ( ~ (v2_measure5(A))  &  ( ~ (v3_measure5(A))  &  ~ (v4_measure5(A)) ) ) ) ) ) ) ).
fof(t2_measure5, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) =>  (! [B] :  (m1_subset_1(B, k6_numbers) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  (! [C] :  (m1_subset_1(C, k6_numbers) =>  ~ ( ( ~ (r1_xxreal_0(C, A))  &  ( ~ (r1_xxreal_0(B, C))  & r2_tarski(C, k1_numbers)) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_measure5, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) =>  (! [B] :  (m1_subset_1(B, k6_numbers) =>  (! [C] :  (m1_subset_1(C, k6_numbers) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  ( ~ (r1_xxreal_0(C, A))  &  (! [D] :  (m1_subset_1(D, k6_numbers) =>  ~ ( ( ~ (r1_xxreal_0(D, A))  &  ( ~ (r1_xxreal_0(B, D))  &  ( ~ (r1_xxreal_0(C, D))  & r2_tarski(D, k1_numbers)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_measure5, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) =>  (! [B] :  (m1_subset_1(B, k6_numbers) =>  (! [C] :  (m1_subset_1(C, k6_numbers) =>  ~ ( ( ~ (r1_xxreal_0(C, A))  &  ( ~ (r1_xxreal_0(C, B))  &  (! [D] :  (m1_subset_1(D, k6_numbers) =>  ~ ( ( ~ (r1_xxreal_0(D, A))  &  ( ~ (r1_xxreal_0(D, B))  &  ( ~ (r1_xxreal_0(C, D))  & r2_tarski(D, k1_numbers)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_measure5, axiom,  (! [A] :  (v2_membered(A) =>  ( ( ~ (A=k1_xboole_0)  => k2_measure5(A)=k4_supinf_2(k8_supinf_2(A), k7_supinf_2(A)))  &  (A=k1_xboole_0 => k2_measure5(A)=k1_supinf_2) ) ) ) ).
fof(t5_measure5, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) =>  (! [B] :  (m1_subset_1(B, k6_numbers) =>  ( ( ~ (r1_xxreal_0(B, A))  => k2_measure5(k1_measure5(A, B))=k4_supinf_2(B, A))  &  (r1_xxreal_0(B, A) => k2_measure5(k1_measure5(A, B))=k1_supinf_2) ) ) ) ) ) ).
fof(t6_measure5, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) =>  (! [B] :  (m1_subset_1(B, k6_numbers) =>  ( (r1_xxreal_0(A, B) => k2_measure5(k1_xxreal_1(A, B))=k4_supinf_2(B, A))  &  ( ~ (r1_xxreal_0(A, B))  => k2_measure5(k1_xxreal_1(A, B))=k1_supinf_2) ) ) ) ) ) ).
fof(t7_measure5, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) =>  (! [B] :  (m1_subset_1(B, k6_numbers) =>  ( ( ~ (r1_xxreal_0(B, A))  => k2_measure5(k2_xxreal_1(A, B))=k4_supinf_2(B, A))  &  (r1_xxreal_0(B, A) => k2_measure5(k2_xxreal_1(A, B))=k1_supinf_2) ) ) ) ) ) ).
fof(t8_measure5, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) =>  (! [B] :  (m1_subset_1(B, k6_numbers) =>  ( ( ~ (r1_xxreal_0(B, A))  => k2_measure5(k3_xxreal_1(A, B))=k4_supinf_2(B, A))  &  (r1_xxreal_0(B, A) => k2_measure5(k3_xxreal_1(A, B))=k1_supinf_2) ) ) ) ) ) ).
fof(t9_measure5, axiom,  (! [A] :  ( (v6_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  (m1_subset_1(B, k6_numbers) =>  (! [C] :  (m1_subset_1(C, k6_numbers) =>  ( (B=k2_supinf_1 & C=k1_supinf_1)  =>  ( ( ~ (A=k1_measure5(B, C))  &  ( ~ (A=k1_xxreal_1(B, C))  &  ( ~ (A=k2_xxreal_1(B, C))  &  ~ (A=k3_xxreal_1(B, C)) ) ) )  | k2_measure5(A)=k1_supinf_1) ) ) ) ) ) ) ) ).
fof(t10_measure5, axiom, k2_measure5(k1_xboole_0)=k1_supinf_2).
fof(t11_measure5, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) =>  (! [B] :  (m1_subset_1(B, k6_numbers) =>  (! [C] :  ( (v6_xxreal_2(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( (v6_xxreal_2(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  ( (r1_tarski(C, D) &  (D=k1_xxreal_1(A, B) & r1_xxreal_0(B, A)) )  =>  (k2_measure5(C)=k1_supinf_2 & k2_measure5(D)=k1_supinf_2) ) ) ) ) ) ) ) ) ) ).
fof(t12_measure5, axiom,  (! [A] :  ( (v6_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( (v6_xxreal_2(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, B) => r1_xxreal_0(k2_measure5(A), k2_measure5(B))) ) ) ) ) ).
fof(t13_measure5, axiom,  (! [A] :  ( (v6_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  => r1_xxreal_0(k1_supinf_2, k2_measure5(A))) ) ).
fof(t14_measure5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  ( ( ~ (v1_xboole_0(A))  & v2_measure5(A))  <=>  (? [B] :  (v1_xreal_0(B) &  (? [C] :  (v1_xreal_0(C) &  (r1_xxreal_0(B, C) & A=k1_rcomp_1(B, C)) ) ) ) ) ) ) ) ).
fof(s1_measure5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  ( ( (! [C] :  (m1_subset_1(C, k6_numbers) =>  (r2_tarski(C, A) <=> p1_s1_measure5(C)) ) )  &  (! [C] :  (m1_subset_1(C, k6_numbers) =>  (r2_tarski(C, B) <=> p1_s1_measure5(C)) ) ) )  => A=B) ) ) ) ) ).
fof(dt_k1_measure5, axiom,  (! [A, B] :  ( (m1_subset_1(A, k6_numbers) & m1_subset_1(B, k6_numbers))  => m1_subset_1(k1_measure5(A, B), k1_zfmisc_1(k1_numbers))) ) ).
fof(redefinition_k1_measure5, axiom,  (! [A, B] :  ( (m1_subset_1(A, k6_numbers) & m1_subset_1(B, k6_numbers))  => k1_measure5(A, B)=k4_xxreal_1(A, B)) ) ).
fof(dt_k2_measure5, axiom,  (! [A] :  (v2_membered(A) => m1_subset_1(k2_measure5(A), k6_numbers)) ) ).
fof(rc1_measure6, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) &  ( ~ (v1_xboole_0(A))  &  (v1_membered(A) &  (v2_membered(A) &  (v3_membered(A) & v6_xxreal_2(A)) ) ) ) ) ) ).
fof(fc1_measure6, axiom,  ~ (v1_setfam_1(k1_numbers)) ).
fof(fc2_measure6, axiom,  ~ (v1_setfam_1(k4_ordinal1)) ).
fof(rc2_measure6, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_setfam_1(A)) ) ).
fof(rc3_measure6, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) ) ) ).
fof(rc4_measure6, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) &  ( ~ (v1_xboole_0(A))  &  (v1_membered(A) &  (v2_membered(A) &  (v3_membered(A) & v1_setfam_1(A)) ) ) ) ) ) ).
fof(rc5_measure6, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) &  ( ~ (v1_xboole_0(A))  &  (v1_membered(A) &  (v2_membered(A) &  (v3_membered(A) &  ~ (v1_setfam_1(A)) ) ) ) ) ) ) ).
fof(cc1_measure6, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  ( (v6_ordinal1(B) &  ( ~ (v1_xboole_0(B))  & v1_setfam_1(B)) )  => v3_finset_1(B)) ) ) ) ).
fof(fc3_measure6, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) )  =>  ~ (v1_xboole_0(k7_relat_1(C, A))) ) ) ).
fof(rc6_measure6, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) &  ( ~ (v1_xboole_0(A))  &  (v1_membered(A) &  (v2_membered(A) &  (v3_membered(A) &  (v5_xxreal_2(A) & v2_rcomp_1(A)) ) ) ) ) ) ) ).
fof(fc4_measure6, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ~ (v1_xboole_0(k4_measure6(A))) ) ) ).
fof(fc5_measure6, axiom,  (! [A] :  ( (v1_setfam_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  => v1_setfam_1(k4_measure6(A))) ) ).
fof(fc6_measure6, axiom,  (! [A] :  (v3_membered(A) => v2_rcomp_1(k5_measure6(A))) ) ).
fof(t1_measure6, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_zfmisc_1(k4_ordinal1, k4_ordinal1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_zfmisc_1(k4_ordinal1, k4_ordinal1))))) )  &  (v2_funct_1(A) &  (k1_relset_1(k4_ordinal1, A)=k4_ordinal1 & k11_funcop_1(k4_ordinal1, k4_ordinal1, k4_ordinal1, A)=k2_zfmisc_1(k4_ordinal1, k4_ordinal1)) ) ) ) ).
fof(t2_measure6, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (v6_supinf_2(A) => r1_xxreal_0(k1_supinf_2, k17_supinf_2(A))) ) ) ).
fof(t3_measure6, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  (m1_subset_1(B, k6_numbers) =>  (v6_supinf_2(A) =>  ( (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ (r1_xxreal_0(B, k12_supinf_2(A, C))) ) )  | r1_xxreal_0(B, k17_supinf_2(A))) ) ) ) ) ) ).
fof(t4_measure6, axiom,  (! [A] :  (v1_xxreal_0(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k1_supinf_2))  &  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ~ ( ( (! [C] :  (v7_ordinal1(C) =>  ~ (r1_xxreal_0(k12_supinf_2(B, C), k1_supinf_2)) ) )  &  ~ (r1_xxreal_0(A, k17_supinf_2(B))) ) ) ) ) ) ) ) ) ).
fof(t5_measure6, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k6_numbers)))  =>  ~ ( ( ~ (r1_xxreal_0(A, k1_supinf_2))  &  (v1_xreal_0(k7_supinf_2(B)) &  (! [C] :  (v1_xxreal_0(C) =>  ~ ( (r2_hidden(C, B) &  ~ (r1_xxreal_0(k1_xxreal_3(k7_supinf_2(B), A), C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_measure6, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k6_numbers)))  =>  ~ ( ( ~ (r1_xxreal_0(A, k1_supinf_2))  &  (v1_xreal_0(k8_supinf_2(B)) &  (! [C] :  (v1_xxreal_0(C) =>  ~ ( (r2_hidden(C, B) &  ~ (r1_xxreal_0(C, k3_xxreal_3(k8_supinf_2(B), A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_measure6, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (v6_supinf_2(A) =>  (r1_xxreal_0(k1_supinf_1, k17_supinf_2(A)) |  (! [B] :  (m1_subset_1(B, k4_ordinal1) => r2_tarski(k12_supinf_2(A, B), k1_numbers)) ) ) ) ) ) ).
fof(t8_measure6, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v6_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (v1_xxreal_0(B) =>  ( (? [C] :  (v1_xxreal_0(C) &  (r1_xxreal_0(B, C) & A=k2_rcomp_1(B, C)) ) )  => B=k7_supinf_2(A)) ) ) ) ) ).
fof(t9_measure6, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v6_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (v1_xxreal_0(B) =>  ( (? [C] :  (v1_xxreal_0(C) &  (r1_xxreal_0(B, C) & A=k3_xxreal_1(B, C)) ) )  => B=k7_supinf_2(A)) ) ) ) ) ).
fof(t10_measure6, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v6_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (v1_xxreal_0(B) =>  ( (? [C] :  (v1_xxreal_0(C) &  (r1_xxreal_0(B, C) & A=k1_xxreal_1(B, C)) ) )  => B=k7_supinf_2(A)) ) ) ) ) ).
fof(t11_measure6, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v6_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (v1_xxreal_0(B) =>  ( (? [C] :  (v1_xxreal_0(C) &  (r1_xxreal_0(B, C) & A=k2_xxreal_1(B, C)) ) )  => B=k7_supinf_2(A)) ) ) ) ) ).
fof(t12_measure6, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v6_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (v1_xxreal_0(B) =>  ( (? [C] :  (v1_xxreal_0(C) &  (r1_xxreal_0(C, B) & A=k2_rcomp_1(C, B)) ) )  => B=k8_supinf_2(A)) ) ) ) ) ).
fof(t13_measure6, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v6_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (v1_xxreal_0(B) =>  ( (? [C] :  (v1_xxreal_0(C) &  (r1_xxreal_0(C, B) & A=k3_xxreal_1(C, B)) ) )  => B=k8_supinf_2(A)) ) ) ) ) ).
fof(t14_measure6, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v6_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (v1_xxreal_0(B) =>  ( (? [C] :  (v1_xxreal_0(C) &  (r1_xxreal_0(C, B) & A=k1_xxreal_1(C, B)) ) )  => B=k8_supinf_2(A)) ) ) ) ) ).
fof(t15_measure6, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v6_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  (v1_xxreal_0(B) =>  ( (? [C] :  (v1_xxreal_0(C) &  (r1_xxreal_0(C, B) & A=k2_xxreal_1(C, B)) ) )  => B=k8_supinf_2(A)) ) ) ) ) ).
fof(t16_measure6, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v6_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (v1_measure5(A) => A=k1_measure5(k7_supinf_2(A), k8_supinf_2(A))) ) ) ).
fof(t17_measure6, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v6_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (v2_measure5(A) => A=k1_xxreal_1(k7_supinf_2(A), k8_supinf_2(A))) ) ) ).
fof(t18_measure6, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v6_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (v3_measure5(A) => A=k2_xxreal_1(k7_supinf_2(A), k8_supinf_2(A))) ) ) ).
fof(t19_measure6, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v6_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (v4_measure5(A) => A=k3_xxreal_1(k7_supinf_2(A), k8_supinf_2(A))) ) ) ).
fof(t20_measure6, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v6_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v6_xxreal_2(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r2_hidden(C, A) &  (r2_hidden(D, B) & r1_xxreal_0(k8_supinf_2(A), k7_supinf_2(B))) )  => r1_xxreal_0(C, D)) ) ) ) ) ) ) ) ) ).
fof(t21_measure6, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (v3_membered(B) =>  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, k9_member_1(B, A)) <=>  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (r2_hidden(D, B) &  (r2_hidden(E, A) & C=k2_xcmplx_0(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_measure6, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v6_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v6_xxreal_2(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (k8_supinf_2(A)=k7_supinf_2(B) =>  ( ( ~ (r2_tarski(k8_supinf_2(A), A))  &  ~ (r2_tarski(k7_supinf_2(B), B)) )  |  (v6_xxreal_2(k4_subset_1(k1_numbers, A, B)) & m1_subset_1(k4_subset_1(k1_numbers, A, B), k1_zfmisc_1(k1_numbers))) ) ) ) ) ) ) ).
fof(t23_measure6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (! [B] :  (v1_xreal_0(B) => k1_measure6(k1_measure6(A, B), k4_xcmplx_0(B))=A) ) ) ) ).
fof(t24_measure6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (B=k1_numbers => k1_measure6(B, A)=B) ) ) ) ) ).
fof(t25_measure6, axiom,  (! [A] :  (v1_xreal_0(A) => k1_measure6(k1_xboole_0, A)=k1_xboole_0) ) ).
fof(t26_measure6, axiom,  (! [A] :  ( (v6_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  (v1_xreal_0(B) =>  (v1_measure5(A) <=> v1_measure5(k1_measure6(A, B))) ) ) ) ) ).
fof(t27_measure6, axiom,  (! [A] :  ( (v6_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  (v1_xreal_0(B) =>  (v2_measure5(A) <=> v2_measure5(k1_measure6(A, B))) ) ) ) ) ).
fof(t28_measure6, axiom,  (! [A] :  ( (v6_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  (v1_xreal_0(B) =>  (v3_measure5(A) <=> v3_measure5(k1_measure6(A, B))) ) ) ) ) ).
fof(t29_measure6, axiom,  (! [A] :  ( (v6_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  (v1_xreal_0(B) =>  (v4_measure5(A) <=> v4_measure5(k1_measure6(A, B))) ) ) ) ) ).
fof(t30_measure6, axiom,  (! [A] :  ( (v6_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  (v1_xreal_0(B) =>  (v6_xxreal_2(k1_measure6(A, B)) & m1_subset_1(k1_measure6(A, B), k1_zfmisc_1(k1_numbers))) ) ) ) ) ).
fof(t31_measure6, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k6_numbers) =>  (B=C => k8_supinf_2(k1_measure6(A, B))=k3_supinf_2(C, k8_supinf_2(A))) ) ) ) ) ) ) ).
fof(t32_measure6, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k6_numbers) =>  (B=C => k7_supinf_2(k1_measure6(A, B))=k3_supinf_2(C, k7_supinf_2(A))) ) ) ) ) ) ) ).
fof(t33_measure6, axiom,  (! [A] :  ( (v6_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  (v1_xreal_0(B) => k2_measure5(A)=k2_measure5(k1_measure6(A, B))) ) ) ) ).
fof(d2_measure6, axiom,  (! [A] :  (v1_setfam_1(A) <=>  ~ (r2_tarski(k5_numbers, A)) ) ) ).
fof(t34_measure6, axiom,  (! [A] :  ( (v1_setfam_1(A) & v6_ordinal1(A))  =>  (v1_xboole_0(A) | v3_finset_1(A)) ) ) ).
fof(d3_measure6, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k9_setfam_1(B), k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(B), k9_setfam_1(A))))) )  =>  (D=k2_measure6(A, B, C) <=>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(B)) => k3_funct_2(k1_zfmisc_1(B), k9_setfam_1(A), D, E)=k8_relset_1(A, B, C, E)) ) ) ) ) ) ) ) ) ).
fof(t35_measure6, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (r2_tarski(C, k6_setfam_1(A, k7_relset_1(k9_setfam_1(B), k9_setfam_1(A), k2_measure6(A, B, E), D))) => r2_tarski(k1_funct_1(E, C), k6_setfam_1(B, D))) ) ) ) ) ) ) ) ).
fof(t36_measure6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (k2_xcmplx_0(k9_complex1(A), k9_complex1(B))=k5_numbers => A=k5_numbers) ) ) ) ) ).
fof(t37_measure6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  ( ~ (r1_xxreal_0(C, B))  & r1_xxreal_0(k2_xcmplx_0(k9_complex1(A), k9_complex1(C)), k9_complex1(B))) ) ) ) ) ) ) ) ) ).
fof(t38_measure6, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( (v2_comseq_2(A) &  (v9_ordinal1(A) &  (k1_seq_2(A)=k5_numbers & v1_comseq_2(k37_valued_1(k4_ordinal1, k1_numbers, A))) ) ) ) ) ) ).
fof(t39_measure6, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v5_xxreal_2(k2_relset_1(k1_numbers, A)) <=> v1_comseq_2(A)) ) ) ).
fof(d4_measure6, axiom,  (! [A] :  (v3_membered(A) =>  (v2_xxreal_2(A) <=>  (v4_xxreal_2(A) & r2_hidden(k2_seq_4(A), A)) ) ) ) ).
fof(d5_measure6, axiom,  (! [A] :  (v3_membered(A) =>  (v1_xxreal_2(A) <=>  (v3_xxreal_2(A) & r2_hidden(k3_seq_4(A), A)) ) ) ) ).
fof(d6_measure6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_zfmisc_1(k1_numbers))) =>  (v1_measure6(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (r2_tarski(B, A) => v3_rcomp_1(B)) ) ) ) ) ) ).
fof(d7_measure6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_zfmisc_1(k1_numbers))) =>  (v2_measure6(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (r2_tarski(B, A) => v2_rcomp_1(B)) ) ) ) ) ) ).
fof(t40_measure6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (r2_hidden(A, B) <=> r2_hidden(k4_xcmplx_0(A), k3_measure6(B))) ) ) ) ) ).
fof(t41_measure6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (v4_xxreal_2(A) <=> v3_xxreal_2(k3_measure6(A))) ) ) ).
fof(t42_measure6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (v3_xxreal_2(A) <=> v4_xxreal_2(k3_measure6(A))) ) ) ).
fof(t43_measure6, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (v3_xxreal_2(A) => k3_seq_4(A)=k4_xcmplx_0(k2_seq_4(k3_measure6(A)))) ) ) ).
fof(t44_measure6, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (v4_xxreal_2(A) => k2_seq_4(A)=k4_xcmplx_0(k3_seq_4(k3_measure6(A)))) ) ) ).
fof(t45_measure6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (v2_rcomp_1(A) <=> v2_rcomp_1(k3_measure6(A))) ) ) ).
fof(t46_measure6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(A, B) <=> r2_tarski(k2_xcmplx_0(C, A), k1_measure6(B, C))) ) ) ) ) ) ) ).
fof(t47_measure6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) => A=k1_measure6(A, k5_numbers)) ) ).
fof(t48_measure6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) => k1_measure6(k1_measure6(A, C), B)=k1_measure6(A, k2_xcmplx_0(B, C))) ) ) ) ) ) ).
fof(t49_measure6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (! [B] :  (v1_xreal_0(B) =>  (v4_xxreal_2(A) <=> v4_xxreal_2(k1_measure6(A, B))) ) ) ) ) ).
fof(t50_measure6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (! [B] :  (v1_xreal_0(B) =>  (v3_xxreal_2(A) <=> v3_xxreal_2(k1_measure6(A, B))) ) ) ) ) ).
fof(t51_measure6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (v3_xxreal_2(B) => k3_seq_4(k1_measure6(B, A))=k2_xcmplx_0(A, k3_seq_4(B))) ) ) ) ) ).
fof(t52_measure6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (v4_xxreal_2(B) => k2_seq_4(k1_measure6(B, A))=k2_xcmplx_0(A, k2_seq_4(B))) ) ) ) ) ).
fof(t53_measure6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (! [B] :  (v1_xreal_0(B) =>  (v2_rcomp_1(A) <=> v2_rcomp_1(k1_measure6(A, B))) ) ) ) ) ).
fof(t54_measure6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (r2_hidden(A, B) <=> r2_tarski(k7_xcmplx_0(1, A), k4_measure6(B))) ) ) ) ) ).
fof(t55_measure6, axiom,  (! [A] :  ( (v1_setfam_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (v2_rcomp_1(A) & v5_xxreal_2(A))  => v2_rcomp_1(k4_measure6(A))) ) ) ).
fof(t56_measure6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_zfmisc_1(k1_numbers))) =>  (v2_measure6(A) => v2_rcomp_1(k6_setfam_1(k1_numbers, A))) ) ) ).
fof(t57_measure6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (! [B] :  ( (v2_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, B) => r1_tarski(k5_measure6(A), B)) ) ) ) ) ).
fof(t58_measure6, axiom,  (! [A] :  (v3_membered(A) => r1_tarski(A, k5_measure6(A))) ) ).
fof(t59_measure6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (v2_rcomp_1(A) <=> A=k5_measure6(A)) ) ) ).
fof(t60_measure6, axiom, k5_measure6(k1_subset_1(k1_numbers))=k1_xboole_0).
fof(t61_measure6, axiom, k5_measure6(k2_subset_1(k1_numbers))=k1_numbers).
fof(t62_measure6, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (v3_membered(B) =>  (r1_tarski(A, B) => r1_tarski(k5_measure6(A), k5_measure6(B))) ) ) ) ) ).
fof(t63_measure6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, k5_measure6(A)) <=>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  ~ ( (r2_hidden(B, C) & v1_xboole_0(k9_subset_1(k1_numbers, C, A))) ) ) ) ) ) ) ) ) ).
fof(t64_measure6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r2_hidden(B, k5_measure6(A)) &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( (r1_tarski(k2_relset_1(k1_numbers, C), A) &  (v2_comseq_2(C) & k1_seq_2(C)=B) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_measure6, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v2_seq_2(B) <=> v3_xxreal_2(k7_relset_1(A, k1_numbers, B, A))) ) ) ) ).
fof(d11_measure6, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_seq_2(B) <=> v4_xxreal_2(k7_relset_1(A, k1_numbers, B, A))) ) ) ) ).
fof(d12_measure6, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v5_measure6(B, A) <=> v2_xxreal_2(k7_relset_1(A, k1_numbers, B, A))) ) ) ) ).
fof(d13_measure6, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v6_measure6(B, A) <=> v1_xxreal_2(k7_relset_1(A, k1_numbers, B, A))) ) ) ) ).
fof(t65_measure6, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  => k7_relset_1(A, k1_numbers, k32_valued_1(A, k1_numbers, C), B)=k3_measure6(k7_relset_1(A, k1_numbers, C, B))) ) ) ) ).
fof(t66_measure6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v6_measure6(B, A) <=> v5_measure6(k32_valued_1(A, k1_numbers, B), A)) ) ) ) ) ).
fof(t67_measure6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v5_measure6(B, A) <=> v6_measure6(k32_valued_1(A, k1_numbers, B), A)) ) ) ) ) ).
fof(t68_measure6, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  => k8_relset_1(A, k1_numbers, k32_valued_1(A, k1_numbers, C), B)=k8_relset_1(A, k1_numbers, C, k3_measure6(B))) ) ) ) ) ).
fof(t69_measure6, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [D] :  (v1_xreal_0(D) => k7_relset_1(A, k1_numbers, k9_valued_1(A, k1_numbers, C, D), B)=k1_measure6(k7_relset_1(A, k1_numbers, C, B), D)) ) ) ) ) ) ).
fof(t70_measure6, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [D] :  (v1_xreal_0(D) => k8_relset_1(A, k1_numbers, k9_valued_1(A, k1_numbers, C, D), B)=k8_relset_1(A, k1_numbers, C, k1_measure6(B, k4_xcmplx_0(D)))) ) ) ) ) ) ) ).
fof(t71_measure6, axiom,  (! [A] :  (! [B] :  ( (v1_setfam_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  => k8_relset_1(A, k1_numbers, k6_measure6(A, k1_numbers, C), B)=k8_relset_1(A, k1_numbers, C, k4_measure6(B))) ) ) ) ) ).
fof(t72_measure6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r2_hidden(B, k3_measure6(A)) &  (! [C] :  (v1_xreal_0(C) =>  ~ ( (r2_hidden(C, A) & B=k4_xcmplx_0(C)) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_measure6, axiom,  (! [A, B] :  ( (v3_membered(A) & v1_xreal_0(B))  => m1_subset_1(k1_measure6(A, B), k1_zfmisc_1(k1_numbers))) ) ).
fof(redefinition_k1_measure6, axiom,  (! [A, B] :  ( (v3_membered(A) & v1_xreal_0(B))  => k1_measure6(A, B)=k17_member_1(A, B)) ) ).
fof(dt_k2_measure6, axiom,  (! [A, B, C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v1_funct_1(k2_measure6(A, B, C)) &  (v1_funct_2(k2_measure6(A, B, C), k9_setfam_1(B), k9_setfam_1(A)) & m1_subset_1(k2_measure6(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(B), k9_setfam_1(A))))) ) ) ) ).
fof(dt_k3_measure6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) => m1_subset_1(k3_measure6(A), k1_zfmisc_1(k1_numbers))) ) ).
fof(involutiveness_k3_measure6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) => k3_measure6(k3_measure6(A))=A) ) ).
fof(redefinition_k3_measure6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) => k3_measure6(A)=k5_member_1(A)) ) ).
fof(dt_k4_measure6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) => m1_subset_1(k4_measure6(A), k1_zfmisc_1(k1_numbers))) ) ).
fof(involutiveness_k4_measure6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) => k4_measure6(k4_measure6(A))=A) ) ).
fof(dt_k5_measure6, axiom,  (! [A] :  (v3_membered(A) => m1_subset_1(k5_measure6(A), k1_zfmisc_1(k1_numbers))) ) ).
fof(projectivity_k5_measure6, axiom,  (! [A] :  (v3_membered(A) => k5_measure6(k5_measure6(A))=k5_measure6(A)) ) ).
fof(redefinition_v3_measure6, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v3_measure6(B, A) <=> v2_seq_2(B)) ) ) ).
fof(redefinition_v4_measure6, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v4_measure6(B, A) <=> v1_seq_2(B)) ) ) ).
fof(dt_k6_measure6, axiom,  (! [A, B, C] :  ( (v3_membered(B) &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v1_funct_1(k6_measure6(A, B, C)) & m1_subset_1(k6_measure6(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ).
fof(involutiveness_k6_measure6, axiom,  (! [A, B, C] :  ( (v3_membered(B) &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  => k6_measure6(A, B, k6_measure6(A, B, C))=C) ) ).
fof(redefinition_k6_measure6, axiom,  (! [A, B, C] :  ( (v3_membered(B) &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  => k6_measure6(A, B, C)=k35_valued_1(C)) ) ).
fof(d8_measure6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) => k4_measure6(A)=a_1_0_measure6(A)) ) ).
fof(d9_measure6, axiom,  (! [A] :  (v3_membered(A) => k5_measure6(A)=k1_setfam_1(a_1_1_measure6(A))) ) ).
fof(fraenkel_a_1_0_measure6, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (r2_hidden(A, a_1_0_measure6(B)) <=>  (? [C] :  (v1_xreal_0(C) &  (A=k7_xcmplx_0(1, C) & r2_hidden(C, B)) ) ) ) ) ) ).
fof(fraenkel_a_1_1_measure6, axiom,  (! [A, B] :  (v3_membered(B) =>  (r2_hidden(A, a_1_1_measure6(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_numbers)) &  (A=C &  (r1_tarski(B, C) & v2_rcomp_1(C)) ) ) ) ) ) ) ).
fof(fc1_measure7, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  ~ (v1_xboole_0(k8_measure7(A))) ) ) ).
fof(t1_measure7, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( (! [B] :  (m1_subset_1(B, k4_ordinal1) => k12_supinf_2(A, B)=k1_supinf_2) )  => k17_supinf_2(A)=k1_supinf_2) ) ) ).
fof(t2_measure7, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (v6_supinf_2(A) =>  (! [B] :  (v7_ordinal1(B) => r1_xxreal_0(k12_supinf_2(A, B), k12_supinf_2(k16_supinf_2(A), B))) ) ) ) ) ).
fof(t3_measure7, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( (v6_supinf_2(B) &  (v6_supinf_2(C) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) => k12_supinf_2(A, D)=k3_supinf_2(k12_supinf_2(B, D), k12_supinf_2(C, D))) ) ) )  =>  (! [D] :  (v7_ordinal1(D) => k12_supinf_2(k16_supinf_2(A), D)=k3_supinf_2(k12_supinf_2(k16_supinf_2(B), D), k12_supinf_2(k16_supinf_2(C), D))) ) ) ) ) ) ) ) ) ).
fof(t4_measure7, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( ( (! [D] :  (m1_subset_1(D, k4_ordinal1) => k12_supinf_2(A, D)=k3_supinf_2(k12_supinf_2(B, D), k12_supinf_2(C, D))) )  &  (v6_supinf_2(B) & v6_supinf_2(C)) )  => r1_xxreal_0(k17_supinf_2(A), k3_supinf_2(k17_supinf_2(B), k17_supinf_2(C)))) ) ) ) ) ) ) ).
fof(t5_measure7, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( (! [C] :  (m1_subset_1(C, k4_ordinal1) => r1_xxreal_0(k12_supinf_2(A, C), k12_supinf_2(B, C))) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => r1_xxreal_0(k12_supinf_2(k16_supinf_2(A), C), k17_supinf_2(B))) ) ) ) ) ) ) ).
fof(t6_measure7, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (v6_supinf_2(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => r1_xxreal_0(k12_supinf_2(k16_supinf_2(A), B), k17_supinf_2(A))) ) ) ) ) ).
fof(d1_measure7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (C=k1_measure7(A, B) <=>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (r2_tarski(D, A) => k12_supinf_2(C, D)=k12_supinf_2(B, D))  &  ( ~ (r2_tarski(D, A))  => k12_supinf_2(C, D)=k1_supinf_2) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_measure7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  (v6_supinf_2(B) => v6_supinf_2(k1_measure7(A, B))) ) ) ) ) ).
fof(t8_measure7, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (v6_supinf_2(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, C) => r1_xxreal_0(k12_supinf_2(k16_supinf_2(A), B), k12_supinf_2(k16_supinf_2(A), C))) ) ) ) ) ) ) ) ).
fof(t9_measure7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( ~ (C=A)  => k12_supinf_2(B, C)=k1_supinf_2) ) )  =>  ( (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( ~ (r1_xxreal_0(A, C))  => k12_supinf_2(k16_supinf_2(B), C)=k1_supinf_2) ) )  &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r1_xxreal_0(A, C) => k12_supinf_2(k16_supinf_2(B), C)=k12_supinf_2(B, A)) ) ) ) ) ) ) ) ) ).
fof(t10_measure7, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (v6_supinf_2(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k4_ordinal1)))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k4_ordinal1)))) )  =>  (v2_funct_1(C) => r1_xxreal_0(k17_supinf_2(k1_measure7(B, k1_partfun1(B, k4_ordinal1, k4_ordinal1, k6_numbers, C, A))), k17_supinf_2(A))) ) ) ) ) ) ) ) ).
fof(t11_measure7, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (v6_supinf_2(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k4_ordinal1)))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, C, k4_ordinal1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k4_ordinal1)))) )  =>  ( (v2_funct_1(D) &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( (r2_tarski(E, C) => k12_supinf_2(A, E)=k12_supinf_2(k1_partfun1(C, k4_ordinal1, k4_ordinal1, k6_numbers, D, B), E))  &  ( ~ (r2_tarski(E, C))  => k12_supinf_2(A, E)=k1_supinf_2) ) ) ) )  => r1_xxreal_0(k17_supinf_2(A), k17_supinf_2(B))) ) ) ) ) ) ) ) ) ) ).
fof(d2_measure7, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k1_numbers))))) )  =>  (m1_measure7(B, A) <=>  (r1_tarski(A, k5_setfam_1(k1_numbers, k2_relset_1(k9_setfam_1(k1_numbers), B))) &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (v6_xxreal_2(k8_nat_1(k9_setfam_1(k1_numbers), B, C)) & m1_subset_1(k8_nat_1(k9_setfam_1(k1_numbers), B, C), k1_zfmisc_1(k1_numbers))) ) ) ) ) ) ) ) ) ).
fof(d3_measure7, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k9_setfam_1(k1_numbers)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k1_numbers))))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_funct_2(k4_ordinal1, k9_setfam_1(k1_numbers))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_funct_2(k4_ordinal1, k9_setfam_1(k1_numbers)))))) )  =>  (m2_measure7(B, A) <=>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => m1_measure7(k8_nat_1(k9_funct_2(k4_ordinal1, k9_setfam_1(k1_numbers)), B, C), k8_nat_1(k9_setfam_1(k1_numbers), A, C))) ) ) ) ) ) ) ).
fof(d4_measure7, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (! [B] :  (m1_measure7(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (C=k3_measure7(A, B) <=>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => k12_supinf_2(C, D)=k2_measure5(k2_measure7(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t12_measure7, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (! [B] :  (m1_measure7(B, A) => v6_supinf_2(k3_measure7(A, B))) ) ) ) ).
fof(d5_measure7, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k9_setfam_1(k1_numbers)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k1_numbers))))) )  =>  (! [B] :  (m2_measure7(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_funct_2(k4_ordinal1, k6_numbers)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_funct_2(k4_ordinal1, k6_numbers))))) )  =>  (C=k5_measure7(A, B) <=>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => k8_nat_1(k9_funct_2(k4_ordinal1, k6_numbers), C, D)=k3_measure7(k8_nat_1(k9_setfam_1(k1_numbers), A, D), k4_measure7(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(d6_measure7, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (! [B] :  (m1_measure7(B, A) => k6_measure7(A, B)=k17_supinf_2(k3_measure7(A, B))) ) ) ) ).
fof(d7_measure7, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k9_setfam_1(k1_numbers)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k1_numbers))))) )  =>  (! [B] :  (m2_measure7(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (C=k7_measure7(A, B) <=>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => k12_supinf_2(C, D)=k6_measure7(k8_nat_1(k9_setfam_1(k1_numbers), A, D), k4_measure7(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t13_measure7, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k9_setfam_1(k1_numbers)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k1_numbers))))) )  =>  (! [B] :  (m2_measure7(B, A) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => r1_xxreal_0(k1_supinf_2, k12_supinf_2(k7_measure7(A, B), C))) ) ) ) ) ) ).
fof(d8_measure7, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k6_numbers)) =>  (B=k8_measure7(A) <=>  (! [C] :  (m1_subset_1(C, k6_numbers) =>  (r2_tarski(C, B) <=>  (? [D] :  (m1_measure7(D, A) & C=k6_measure7(A, D)) ) ) ) ) ) ) ) ) ) ).
fof(d9_measure7, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) => k9_measure7(A)=k7_supinf_2(k8_measure7(A))) ) ).
fof(d10_measure7, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k9_setfam_1(k1_numbers), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_numbers), k6_numbers)))) )  =>  (A=k10_measure7 <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) => k12_supinf_2(A, B)=k7_supinf_2(k8_measure7(B))) ) ) ) ) ).
fof(d11_measure7, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k9_setfam_1(k1_numbers)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k1_numbers))))) )  =>  (! [B] :  (m2_measure7(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_zfmisc_1(k4_ordinal1, k4_ordinal1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_zfmisc_1(k4_ordinal1, k4_ordinal1))))) )  =>  (k11_funcop_1(k4_ordinal1, k4_ordinal1, k4_ordinal1, C)=k2_zfmisc_1(k4_ordinal1, k4_ordinal1) =>  (! [D] :  (m1_measure7(D, k5_setfam_1(k1_numbers, k2_relset_1(k9_setfam_1(k1_numbers), A))) =>  (D=k11_measure7(A, B, C) <=>  (! [E] :  (m1_subset_1(E, k4_ordinal1) => k2_measure7(k5_setfam_1(k1_numbers, k2_relset_1(k9_setfam_1(k1_numbers), A)), D, E)=k2_measure7(k8_nat_1(k9_setfam_1(k1_numbers), A, k1_recdef_1(k4_funct_2(k4_ordinal1, k4_ordinal1, k4_ordinal1, C), E)), k4_measure7(A, B, k1_recdef_1(k4_funct_2(k4_ordinal1, k4_ordinal1, k4_ordinal1, C), E)), k1_recdef_1(k5_funct_2(k4_ordinal1, k4_ordinal1, k4_ordinal1, C), E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_measure7, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_zfmisc_1(k4_ordinal1, k4_ordinal1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_zfmisc_1(k4_ordinal1, k4_ordinal1))))) )  =>  ( (v2_funct_1(A) & k11_funcop_1(k4_ordinal1, k4_ordinal1, k4_ordinal1, A)=k2_zfmisc_1(k4_ordinal1, k4_ordinal1))  =>  (! [B] :  (v7_ordinal1(B) =>  (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(k1_numbers)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k1_numbers))))) )  =>  (! [E] :  (m2_measure7(E, D) => r1_xxreal_0(k12_supinf_2(k16_supinf_2(k3_measure7(k5_setfam_1(k1_numbers, k2_relset_1(k9_setfam_1(k1_numbers), D)), k11_measure7(D, E, A))), B), k12_supinf_2(k16_supinf_2(k7_measure7(D, E)), C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_measure7, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k9_setfam_1(k1_numbers)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k1_numbers))))) )  =>  (! [B] :  (m2_measure7(B, A) => r1_xxreal_0(k7_supinf_2(k8_measure7(k5_setfam_1(k1_numbers, k2_relset_1(k9_setfam_1(k1_numbers), A)))), k17_supinf_2(k7_measure7(A, B)))) ) ) ) ).
fof(t16_measure7, axiom, m1_measure4(k10_measure7, k1_numbers)).
fof(d12_measure7, axiom, k13_measure7=k1_measure4(k1_numbers, k12_measure7)).
fof(d13_measure7, axiom, k14_measure7=k3_measure4(k1_numbers, k12_measure7)).
fof(dt_k1_measure7, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) )  =>  (v1_funct_1(k1_measure7(A, B)) &  (v1_funct_2(k1_measure7(A, B), k4_ordinal1, k6_numbers) & m1_subset_1(k1_measure7(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) ) ) ) ).
fof(dt_m1_measure7, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (! [B] :  (m1_measure7(B, A) =>  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k1_numbers))))) ) ) ) ) ) ).
fof(existence_m1_measure7, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (? [B] : m1_measure7(B, A)) ) ) ).
fof(dt_k2_measure7, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) &  (m1_measure7(B, A) & m1_subset_1(C, k4_ordinal1)) )  =>  (v6_xxreal_2(k2_measure7(A, B, C)) & m1_subset_1(k2_measure7(A, B, C), k1_zfmisc_1(k1_numbers))) ) ) ).
fof(redefinition_k2_measure7, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) &  (m1_measure7(B, A) & m1_subset_1(C, k4_ordinal1)) )  => k2_measure7(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_m2_measure7, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k9_setfam_1(k1_numbers)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k1_numbers))))) )  =>  (! [B] :  (m2_measure7(B, A) =>  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_funct_2(k4_ordinal1, k9_setfam_1(k1_numbers))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_funct_2(k4_ordinal1, k9_setfam_1(k1_numbers)))))) ) ) ) ) ) ).
fof(existence_m2_measure7, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k9_setfam_1(k1_numbers)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k1_numbers))))) )  =>  (? [B] : m2_measure7(B, A)) ) ) ).
fof(dt_k3_measure7, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) & m1_measure7(B, A))  =>  (v1_funct_1(k3_measure7(A, B)) &  (v1_funct_2(k3_measure7(A, B), k4_ordinal1, k6_numbers) & m1_subset_1(k3_measure7(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) ) ) ) ).
fof(dt_k4_measure7, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k9_setfam_1(k1_numbers)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k1_numbers))))) )  &  (m2_measure7(B, A) & m1_subset_1(C, k4_ordinal1)) )  => m1_measure7(k4_measure7(A, B, C), k8_nat_1(k9_setfam_1(k1_numbers), A, C))) ) ).
fof(redefinition_k4_measure7, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k9_setfam_1(k1_numbers)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k1_numbers))))) )  &  (m2_measure7(B, A) & m1_subset_1(C, k4_ordinal1)) )  => k4_measure7(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k5_measure7, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k9_setfam_1(k1_numbers)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k1_numbers))))) )  & m2_measure7(B, A))  =>  (v1_funct_1(k5_measure7(A, B)) &  (v1_funct_2(k5_measure7(A, B), k4_ordinal1, k9_funct_2(k4_ordinal1, k6_numbers)) & m1_subset_1(k5_measure7(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_funct_2(k4_ordinal1, k6_numbers))))) ) ) ) ).
fof(dt_k6_measure7, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) & m1_measure7(B, A))  => m1_subset_1(k6_measure7(A, B), k6_numbers)) ) ).
fof(dt_k7_measure7, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k9_setfam_1(k1_numbers)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k1_numbers))))) )  & m2_measure7(B, A))  =>  (v1_funct_1(k7_measure7(A, B)) &  (v1_funct_2(k7_measure7(A, B), k4_ordinal1, k6_numbers) & m1_subset_1(k7_measure7(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) ) ) ) ).
fof(dt_k8_measure7, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) => m1_subset_1(k8_measure7(A), k1_zfmisc_1(k6_numbers))) ) ).
fof(dt_k9_measure7, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) => m1_subset_1(k9_measure7(A), k6_numbers)) ) ).
fof(dt_k10_measure7, axiom,  (v1_funct_1(k10_measure7) &  (v1_funct_2(k10_measure7, k9_setfam_1(k1_numbers), k6_numbers) & m1_subset_1(k10_measure7, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_numbers), k6_numbers)))) ) ).
fof(dt_k11_measure7, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k9_setfam_1(k1_numbers)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k1_numbers))))) )  &  (m2_measure7(B, A) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_zfmisc_1(k4_ordinal1, k4_ordinal1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_zfmisc_1(k4_ordinal1, k4_ordinal1))))) ) ) )  => m1_measure7(k11_measure7(A, B, C), k5_setfam_1(k1_numbers, k2_relset_1(k9_setfam_1(k1_numbers), A)))) ) ).
fof(dt_k12_measure7, axiom, m1_measure4(k12_measure7, k1_numbers)).
fof(redefinition_k12_measure7, axiom, k12_measure7=k10_measure7).
fof(dt_k13_measure7, axiom,  ( ~ (v1_xboole_0(k13_measure7))  &  (v1_prob_1(k13_measure7, k1_numbers) &  (v4_prob_1(k13_measure7, k1_numbers) & m1_subset_1(k13_measure7, k1_zfmisc_1(k1_zfmisc_1(k1_numbers)))) ) ) ).
fof(dt_k14_measure7, axiom,  (v1_funct_1(k14_measure7) &  (v1_funct_2(k14_measure7, k13_measure7, k6_numbers) &  (v10_valued_0(k14_measure7) &  (v6_supinf_2(k14_measure7) &  (v4_measure1(k14_measure7, k1_numbers, k13_measure7) & m1_subset_1(k14_measure7, k1_zfmisc_1(k2_zfmisc_1(k13_measure7, k6_numbers)))) ) ) ) ) ).
fof(rc1_measure8, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B))) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_partfun1(C, k4_ordinal1) &  (v1_funct_2(C, k4_ordinal1, B) & v1_prob_2(C)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_measure8, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (? [C] :  (m1_measure8(C, A, B) &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, k9_setfam_1(A)) &  (v1_funct_1(C) &  (v1_finseq_1(C) & v1_prob_2(C)) ) ) ) ) ) ) ) ) ).
fof(fc1_measure8, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v2_finsub_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, C, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v2_measure1(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) ) ) )  =>  ~ (v1_xboole_0(k5_measure8(A, C, D, B))) ) ) ).
fof(t1_measure8, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  => r2_funct_2(k4_ordinal1, k6_numbers, k16_supinf_2(A), k1_mesfunc9(A))) ) ).
fof(t2_measure8, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (v6_supinf_2(A) =>  (v1_mesfunc9(A) & k17_supinf_2(A)=k2_mesfunc9(A)) ) ) ) ).
fof(t3_measure8, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( (v6_supinf_2(B) &  (v6_supinf_2(C) &  (! [D] :  (v7_ordinal1(D) => k8_nat_1(k6_numbers, A, D)=k1_xxreal_3(k8_nat_1(k6_numbers, B, D), k8_nat_1(k6_numbers, C, D))) ) ) )  =>  (v6_supinf_2(A) &  (k17_supinf_2(A)=k1_xxreal_3(k17_supinf_2(B), k17_supinf_2(C)) & k2_mesfunc9(A)=k1_xxreal_3(k2_mesfunc9(B), k2_mesfunc9(C))) ) ) ) ) ) ) ) ) ).
fof(d1_measure8, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_finseq_1(C, k9_setfam_1(A)) =>  (m1_measure8(C, A, B) <=>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(C)) => r2_tarski(k4_prob_3(A, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(d2_measure8, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (m2_measure8(C, A, B) <=>  (! [D] :  (v7_ordinal1(D) => r2_tarski(k8_nat_1(k9_setfam_1(A), C, D), B)) ) ) ) ) ) ) ) ).
fof(d3_measure8, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v2_finsub_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  (m2_measure8(D, A, C) =>  (m3_measure8(D, A, B, C) <=> r1_tarski(B, k5_setfam_1(A, k2_relset_1(k9_setfam_1(A), D)))) ) ) ) ) ) ) ) ).
fof(d4_measure8, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_funct_2(k4_ordinal1, k9_setfam_1(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_funct_2(k4_ordinal1, k9_setfam_1(A)))))) )  =>  (m4_measure8(D, A, B, C) <=>  (! [E] :  (v7_ordinal1(E) => m3_measure8(k8_nat_1(k9_funct_2(k4_ordinal1, k9_setfam_1(A)), D, E), A, k8_nat_1(k9_setfam_1(A), C, E), B)) ) ) ) ) ) ) ) ) ) ).
fof(d5_measure8, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_measure8(D, A, B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k6_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (E=k2_measure8(A, B, C, D) <=>  (! [F] :  (v7_ordinal1(F) => k8_nat_1(k6_numbers, E, F)=k12_supinf_2(C, k1_measure8(A, B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_measure8, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_measure8(D, A, B) => v6_supinf_2(k2_measure8(A, B, C, D))) ) ) ) ) ) ) ).
fof(d6_measure8, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v2_measure1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [E] :  (m4_measure8(E, A, B, C) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k6_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (F=k4_measure8(A, B, C, D, E) <=>  (! [G] :  (v7_ordinal1(G) => k8_nat_1(k6_numbers, F, G)=k17_supinf_2(k2_measure8(A, B, D, k3_measure8(A, B, C, E, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_measure8, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (m4_measure8(F, A, B, D) => r1_xxreal_0(k5_numbers, k8_nat_1(k6_numbers, k4_measure8(A, B, D, C, F), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_measure8, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k6_numbers)) =>  (E=k5_measure8(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, k6_numbers) =>  (r2_tarski(F, E) <=>  (? [G] :  (m3_measure8(G, A, D, B) & F=k17_supinf_2(k2_measure8(A, B, C, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_measure8, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k9_setfam_1(A), k6_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k6_numbers)))) )  =>  (D=k6_measure8(A, B, C) <=>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) => k12_supinf_2(D, E)=k7_supinf_2(k5_measure8(A, B, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(d9_measure8, axiom, k7_measure8=k2_funct_1(k1_nagata_2)).
fof(d10_measure8, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [D] :  (m4_measure8(D, A, B, C) =>  (! [E] :  (m3_measure8(E, A, k5_setfam_1(A, k2_relset_1(k9_setfam_1(A), C)), B) =>  (E=k8_measure8(A, B, C, D) <=>  (! [F] :  (v7_ordinal1(F) => k1_measure8(A, B, E, F)=k1_measure8(A, B, k3_measure8(A, B, C, D, k1_recdef_1(k4_funct_2(k4_ordinal1, k4_ordinal1, k4_ordinal1, k7_measure8), F)), k1_recdef_1(k5_funct_2(k4_ordinal1, k4_ordinal1, k4_ordinal1, k7_measure8), F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_measure8, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [G] :  (m4_measure8(G, A, B, F) => r1_xxreal_0(k8_nat_1(k6_numbers, k1_mesfunc9(k2_measure8(A, B, C, k8_measure8(A, B, F, G))), D), k8_nat_1(k6_numbers, k1_mesfunc9(k4_measure8(A, B, F, C, G)), E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_measure8, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [E] :  (m4_measure8(E, A, B, D) => r1_xxreal_0(k7_supinf_2(k5_measure8(A, B, C, k5_setfam_1(A, k2_relset_1(k9_setfam_1(A), D)))), k17_supinf_2(k4_measure8(A, B, D, C, E)))) ) ) ) ) ) ) ) ) ).
fof(t8_measure8, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (r2_tarski(C, B) => m3_measure8(k13_funct_7(k1_zfmisc_1(A), C, k1_subset_1(A), k1_subset_1(A)), A, C, B)) ) ) ) ) ) ).
fof(t9_measure8, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (r2_tarski(D, B) => r1_xxreal_0(k12_supinf_2(k6_measure8(A, B, C), D), k12_supinf_2(C, D))) ) ) ) ) ) ) ).
fof(t10_measure8, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  => v6_supinf_2(k6_measure8(A, B, C))) ) ) ) ) ).
fof(t11_measure8, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  => k12_supinf_2(k6_measure8(A, B, C), k1_xboole_0)=k5_numbers) ) ) ) ) ).
fof(t12_measure8, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  (r1_tarski(D, E) => r1_xxreal_0(k12_supinf_2(k6_measure8(A, B, C), D), k12_supinf_2(k6_measure8(A, B, C), E))) ) ) ) ) ) ) ) ) ) ).
fof(t13_measure8, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  => r1_xxreal_0(k12_supinf_2(k6_measure8(A, B, C), k5_setfam_1(A, k2_relset_1(k9_setfam_1(A), D))), k17_supinf_2(k1_partfun1(k4_ordinal1, k9_setfam_1(A), k9_setfam_1(A), k6_numbers, D, k6_measure8(A, B, C))))) ) ) ) ) ) ) ).
fof(t14_measure8, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  => m1_measure4(k6_measure8(A, B, C), A)) ) ) ) ) ).
fof(d11_measure8, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (v1_measure8(C, A, B) <=>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) &  (v1_prob_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) )  =>  (r2_tarski(k3_tarski(k2_relset_1(B, D)), B) => k17_supinf_2(k1_partfun1(k4_ordinal1, B, B, k6_numbers, D, C))=k12_supinf_2(C, k3_tarski(k2_relset_1(B, D)))) ) ) ) ) ) ) ) ) ).
fof(t15_measure8, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_measure8(C, A, B) => m2_measure8(k2_prob_3(A, C), A, B)) ) ) ) ) ).
fof(t16_measure8, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_measure8(C, A, B) => m2_measure8(k3_prob_3(A, C), A, B)) ) ) ) ) ).
fof(t17_measure8, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m3_measure8(D, A, C, B) =>  ~ ( (r2_tarski(C, B) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, B) &  (v1_prob_2(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) )  =>  ~ ( (C=k3_tarski(k2_relset_1(B, E)) &  (! [F] :  (v7_ordinal1(F) => r1_tarski(k8_nat_1(B, E, F), k1_measure8(A, B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_measure8, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (v1_measure8(C, A, B) =>  (! [D] :  (r2_tarski(D, B) => k12_supinf_2(C, D)=k12_supinf_2(k9_measure8(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t19_measure8, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_measure4(C, A) =>  ( (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) => r1_xxreal_0(k1_xxreal_3(k12_supinf_2(C, k9_subset_1(A, D, B)), k12_supinf_2(C, k9_subset_1(A, D, k6_subset_1(A, B)))), k12_supinf_2(C, D))) )  => r2_tarski(B, k1_measure4(A, C))) ) ) ) ) ) ).
fof(t20_measure8, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  => r1_tarski(B, k1_measure4(A, k9_measure8(A, B, C)))) ) ) ) ) ).
fof(t21_measure8, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_measure8(C, A, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k6_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) )  =>  (v1_funct_1(k1_partfun1(k4_ordinal1, k9_setfam_1(A), B, k6_numbers, C, D)) &  (v1_funct_2(k1_partfun1(k4_ordinal1, k9_setfam_1(A), B, k6_numbers, C, D), k4_ordinal1, k6_numbers) & m1_subset_1(k1_partfun1(k4_ordinal1, k9_setfam_1(A), B, k6_numbers, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) ) ) ) ) ) ) ) ) ).
fof(t22_measure8, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k6_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) )  =>  (v1_funct_1(k1_partfun1(k4_ordinal1, k9_setfam_1(A), B, k6_numbers, C, D)) &  (v1_funct_2(k1_partfun1(k4_ordinal1, k9_setfam_1(A), B, k6_numbers, C, D), k4_ordinal1, k6_numbers) & m1_subset_1(k1_partfun1(k4_ordinal1, k9_setfam_1(A), B, k6_numbers, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) ) ) ) ) ) ) ) ) ).
fof(t23_measure8, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(D, C) => r1_xxreal_0(k8_nat_1(k6_numbers, A, D), k8_nat_1(k6_numbers, B, D))) ) )  => r1_xxreal_0(k8_nat_1(k6_numbers, k16_supinf_2(A), C), k8_nat_1(k6_numbers, k16_supinf_2(B), C))) ) ) ) ) ) ) ).
fof(t24_measure8, axiom,  (! [A] :  (! [B] :  (m1_measure4(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_measure4(A, B)) &  (v1_prob_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_measure4(A, B))))) ) )  =>  (r2_tarski(k5_setfam_1(A, k4_measure1(A, k1_measure4(A, B), C)), k1_measure4(A, B)) & k12_supinf_2(B, k5_setfam_1(A, k4_measure1(A, k1_measure4(A, B), C)))=k2_mesfunc9(k1_partfun1(k4_ordinal1, k1_measure4(A, B), k9_setfam_1(A), k6_numbers, C, B))) ) ) ) ) ) ).
fof(t25_measure8, axiom,  (! [A] :  (! [B] :  (m1_measure4(B, A) =>  (! [C] :  ( (v5_relat_1(C, k1_measure4(A, B)) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  => r2_tarski(k1_prob_1(A, C), k1_measure4(A, B))) ) ) ) ) ).
fof(t26_measure8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (v3_prob_1(D) => k2_mesfunc5(k11_measure8(A, B, D, C))=k12_supinf_2(C, k4_kurato_0(A, D))) ) ) ) ) ) ) ) ) ).
fof(t27_measure8, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_measure8(D, A, B) =>  (v3_prob_1(D) => v7_valued_0(k10_measure8(A, B, D, C))) ) ) ) ) ) ) ) ).
fof(t28_measure8, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_measure8(D, A, B) =>  (v2_prob_1(D) => v8_valued_0(k10_measure8(A, B, D, C))) ) ) ) ) ) ) ) ).
fof(t29_measure8, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (v3_prob_1(D) => v7_valued_0(k11_measure8(A, B, D, C))) ) ) ) ) ) ) ) ).
fof(t30_measure8, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (v2_prob_1(D) => v8_valued_0(k11_measure8(A, B, D, C))) ) ) ) ) ) ) ) ).
fof(t31_measure8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (v2_prob_1(D) =>  (r1_xxreal_0(k1_supinf_1, k12_supinf_2(C, k1_prob_2(A, B, D, k5_numbers))) | k2_mesfunc5(k11_measure8(A, B, D, C))=k12_supinf_2(C, k4_kurato_0(A, D))) ) ) ) ) ) ) ) ) ) ).
fof(d12_measure8, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v2_measure1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (r1_measure8(A, B, C, D, E) <=>  (! [F] :  (r2_tarski(F, B) => k12_supinf_2(E, F)=k12_supinf_2(D, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_measure8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  ( (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k9_prob_1(A, B), k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, A, k9_prob_1(A, B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k9_prob_1(A, B), k6_numbers)))) ) ) ) )  & r1_measure8(A, B, k9_prob_1(A, B), C, D)) )  => v1_measure8(C, A, B)) ) ) ) ) ) ) ).
fof(t33_measure8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  ~ ( (v1_measure8(C, A, B) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k9_prob_1(A, B), k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, A, k9_prob_1(A, B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k9_prob_1(A, B), k6_numbers)))) ) ) ) )  =>  ~ ( (r1_measure8(A, B, k9_prob_1(A, B), C, D) & D=k2_partfun1(k1_measure4(A, k9_measure8(A, B, C)), k6_numbers, k3_measure4(A, k9_measure8(A, B, C)), k9_prob_1(A, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_measure8, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m2_measure8(E, A, B) =>  ~ ( ( (! [F] :  (v7_ordinal1(F) =>  ~ (r1_xxreal_0(k1_supinf_1, k12_supinf_2(C, k1_measure8(A, B, E, F)))) ) )  & r1_xxreal_0(k1_supinf_1, k12_supinf_2(C, k8_nat_1(k9_setfam_1(A), k2_prob_3(A, E), D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_measure8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (v1_measure8(C, A, B) =>  ( (! [D] :  (m2_measure8(D, A, B) =>  ~ ( ( (! [E] :  (v7_ordinal1(E) =>  ~ (r1_xxreal_0(k1_supinf_1, k12_supinf_2(C, k1_measure8(A, B, D, E)))) ) )  & A=k5_setfam_1(A, k2_relset_1(k9_setfam_1(A), D))) ) ) )  |  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k9_prob_1(A, B), k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, A, k9_prob_1(A, B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k9_prob_1(A, B), k6_numbers)))) ) ) ) )  =>  (r1_measure8(A, B, k9_prob_1(A, B), C, D) => D=k2_partfun1(k1_measure4(A, k9_measure8(A, B, C)), k6_numbers, k3_measure4(A, k9_measure8(A, B, C)), k9_prob_1(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_m1_measure8, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_measure8(C, A, B) => m2_finseq_1(C, k9_setfam_1(A))) ) ) ) ).
fof(existence_m1_measure8, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (? [C] : m1_measure8(C, A, B)) ) ) ).
fof(dt_m2_measure8, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_measure8(C, A, B) =>  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) ) ) ) ) ).
fof(existence_m2_measure8, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (? [C] : m2_measure8(C, A, B)) ) ) ).
fof(dt_m3_measure8, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v2_finsub_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) )  =>  (! [D] :  (m3_measure8(D, A, B, C) => m2_measure8(D, A, C)) ) ) ) ).
fof(existence_m3_measure8, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v2_finsub_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) )  =>  (? [D] : m3_measure8(D, A, B, C)) ) ) ).
fof(dt_k1_measure8, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m2_measure8(C, A, B) & v7_ordinal1(D)) )  => m2_subset_1(k1_measure8(A, B, C, D), k1_zfmisc_1(A), B)) ) ).
fof(redefinition_k1_measure8, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m2_measure8(C, A, B) & v7_ordinal1(D)) )  => k1_measure8(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(dt_m4_measure8, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [D] :  (m4_measure8(D, A, B, C) =>  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_funct_2(k4_ordinal1, k9_setfam_1(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_funct_2(k4_ordinal1, k9_setfam_1(A)))))) ) ) ) ) ) ).
fof(existence_m4_measure8, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (? [D] : m4_measure8(D, A, B, C)) ) ) ).
fof(dt_k2_measure8, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  & m2_measure8(D, A, B)) )  =>  (v1_funct_1(k2_measure8(A, B, C, D)) &  (v1_funct_2(k2_measure8(A, B, C, D), k4_ordinal1, k6_numbers) & m1_subset_1(k2_measure8(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) ) ) ) ).
fof(dt_k3_measure8, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  &  (m4_measure8(D, A, B, C) & v7_ordinal1(E)) ) )  => m3_measure8(k3_measure8(A, B, C, D, E), A, k8_nat_1(k9_setfam_1(A), C, E), B)) ) ).
fof(redefinition_k3_measure8, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  &  (m4_measure8(D, A, B, C) & v7_ordinal1(E)) ) )  => k3_measure8(A, B, C, D, E)=k1_funct_1(D, E)) ) ).
fof(dt_k4_measure8, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v2_measure1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  & m4_measure8(E, A, B, C)) ) )  =>  (v1_funct_1(k4_measure8(A, B, C, D, E)) &  (v1_funct_2(k4_measure8(A, B, C, D, E), k4_ordinal1, k6_numbers) & m1_subset_1(k4_measure8(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) ) ) ) ).
fof(dt_k5_measure8, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  & m1_subset_1(D, k1_zfmisc_1(A))) )  => m1_subset_1(k5_measure8(A, B, C, D), k1_zfmisc_1(k6_numbers))) ) ).
fof(dt_k6_measure8, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) )  =>  (v1_funct_1(k6_measure8(A, B, C)) &  (v1_funct_2(k6_measure8(A, B, C), k9_setfam_1(A), k6_numbers) & m1_subset_1(k6_measure8(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k6_numbers)))) ) ) ) ).
fof(dt_k7_measure8, axiom,  (v1_funct_1(k7_measure8) &  (v1_funct_2(k7_measure8, k4_ordinal1, k2_zfmisc_1(k4_ordinal1, k4_ordinal1)) & m1_subset_1(k7_measure8, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_zfmisc_1(k4_ordinal1, k4_ordinal1))))) ) ).
fof(dt_k8_measure8, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  & m4_measure8(D, A, B, C)) )  => m3_measure8(k8_measure8(A, B, C, D), A, k5_setfam_1(A, k2_relset_1(k9_setfam_1(A), C)), B)) ) ).
fof(dt_k9_measure8, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) )  => m1_measure4(k9_measure8(A, B, C), A)) ) ).
fof(redefinition_k9_measure8, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) )  => k9_measure8(A, B, C)=k6_measure8(A, B, C)) ) ).
fof(dt_k10_measure8, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m2_measure8(C, A, B) &  (v1_funct_1(D) &  (v1_funct_2(D, B, k6_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) )  =>  (v1_funct_1(k10_measure8(A, B, C, D)) &  (v1_funct_2(k10_measure8(A, B, C, D), k4_ordinal1, k6_numbers) & m1_subset_1(k10_measure8(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) ) ) ) ).
fof(redefinition_k10_measure8, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m2_measure8(C, A, B) &  (v1_funct_1(D) &  (v1_funct_2(D, B, k6_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) )  => k10_measure8(A, B, C, D)=k3_relat_1(C, D)) ) ).
fof(dt_k11_measure8, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, B, k6_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) )  =>  (v1_funct_1(k11_measure8(A, B, C, D)) &  (v1_funct_2(k11_measure8(A, B, C, D), k4_ordinal1, k6_numbers) & m1_subset_1(k11_measure8(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) ) ) ) ).
fof(redefinition_k11_measure8, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, B, k6_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) )  => k11_measure8(A, B, C, D)=k3_relat_1(C, D)) ) ).
fof(rc1_measure9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_finseq_2(B, A) &  ( ~ (v1_xboole_0(B))  &  ~ (v2_setfam_1(B)) ) ) ) ) ) ).
fof(fc1_measure9, axiom,  (! [A] : v1_prob_2(k5_finseq_1(A))) ).
fof(rc2_measure9, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(B))  &  (v2_finsub_1(B) &  (v1_srings_3(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B))) &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, B) &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) &  (v1_partfun1(C, k4_ordinal1) &  (v1_funct_2(C, k4_ordinal1, B) & v1_prob_2(C)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_measure9, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers))) &  (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v5_relat_1(C, k6_numbers) &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) &  (v1_partfun1(C, B) &  (v1_funct_2(C, B, k6_numbers) &  (v2_valued_0(C) &  (v10_valued_0(C) &  (v6_supinf_2(C) & v2_measure1(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc4_measure9, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B))) &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, B) &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) &  (v1_partfun1(C, k4_ordinal1) &  (v1_funct_2(C, k4_ordinal1, B) & v1_prob_2(C)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc5_measure9, axiom,  (? [A] :  (m1_finseq_1(A, k6_numbers) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k6_numbers) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v2_valued_0(A) & v6_supinf_2(A)) ) ) ) ) ) ) ) ) ) ).
fof(rc6_measure9, axiom,  (? [A] :  (m1_finseq_1(A, k6_numbers) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k6_numbers) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v2_valued_0(A) & v3_mesfunc5(A)) ) ) ) ) ) ) ) ) ) ).
fof(rc7_measure9, axiom,  (? [A] :  (m1_finseq_1(A, k6_numbers) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k6_numbers) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v2_valued_0(A) & v2_mesfunc5(A)) ) ) ) ) ) ) ) ) ) ).
fof(rc8_measure9, axiom,  (? [A] :  (m1_finseq_1(A, k6_numbers) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k6_numbers) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v2_valued_0(A) & v4_mesfunc5(A)) ) ) ) ) ) ) ) ) ) ).
fof(cc1_measure9, axiom,  (! [A] :  (m1_finseq_1(A, k6_numbers) =>  (v6_supinf_2(A) => v3_mesfunc5(A)) ) ) ).
fof(cc2_measure9, axiom,  (! [A] :  (m1_finseq_1(A, k6_numbers) =>  (v2_mesfunc5(A) => v4_mesfunc5(A)) ) ) ).
fof(fc2_measure9, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v3_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) )  =>  (v1_funct_1(k3_relat_1(D, C)) &  (v1_funct_2(k3_relat_1(D, C), A, k6_numbers) & v3_mesfunc5(k3_relat_1(D, C))) ) ) ) ).
fof(fc3_measure9, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v6_supinf_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) )  =>  (v1_funct_1(k3_relat_1(D, C)) &  (v1_funct_2(k3_relat_1(D, C), A, k6_numbers) & v6_supinf_2(k3_relat_1(D, C))) ) ) ) ).
fof(t1_measure9, axiom,  (! [A] :  (v1_relat_1(A) =>  (v2_setfam_1(k10_xtuple_0(A)) => k3_tarski(k10_xtuple_0(A))=k1_xboole_0) ) ) ).
fof(t2_measure9, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v2_setfam_1(k10_xtuple_0(A)) <=>  (! [B] : k1_funct_1(A, B)=k1_xboole_0) ) ) ) ).
fof(d1_measure9, axiom,  (! [A] :  (! [B] :  (m1_finseq_2(B, A) =>  (! [C] :  (m2_finseq_1(C, B) =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  (D=k2_measure9(A, B, C) <=>  (k4_finseq_1(D)=k4_finseq_1(C) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) => k12_supinf_2(D, E)=k3_finseq_1(k1_measure9(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_measure9, axiom,  (! [A] :  (! [B] :  (m1_finseq_2(B, A) =>  (! [C] :  (m2_finseq_1(C, B) =>  ( (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(C)) => k1_measure9(A, B, C, D)=k6_finseq_1(A)) ) )  => k1_wsierp_1(k2_measure9(A, B, C))=k5_numbers) ) ) ) ) ) ).
fof(t4_measure9, axiom,  (! [A] :  (! [B] :  (m1_finseq_2(B, A) =>  (! [C] :  (m2_finseq_1(C, B) =>  (! [D] :  (v7_ordinal1(D) =>  ( ~ (r1_xxreal_0(k3_finseq_1(C), D))  => k2_measure9(A, B, k17_finseq_1(B, k1_nat_1(D, 1), C))=k8_finseq_1(k4_ordinal1, k2_measure9(A, B, k17_finseq_1(B, D, C)), k13_matrix_0(k4_ordinal1, k3_finseq_1(k1_measure9(A, B, C, k1_nat_1(D, 1)))))) ) ) ) ) ) ) ) ).
fof(t5_measure9, axiom,  (! [A] :  (! [B] :  (m1_finseq_2(B, A) =>  (! [C] :  (m2_finseq_1(C, B) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k1_wsierp_1(k2_measure9(A, B, C))) &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r1_xxreal_0(1, F) &  (r1_xxreal_0(F, k3_finseq_1(k1_measure9(A, B, C, k1_nat_1(E, 1)))) &  ( ~ (r1_xxreal_0(k3_finseq_1(C), E))  &  (k1_nat_1(F, k1_wsierp_1(k2_measure9(A, B, k17_finseq_1(B, E, C))))=D & r1_xxreal_0(D, k1_wsierp_1(k2_measure9(A, B, k17_finseq_1(B, k1_nat_1(E, 1), C))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_measure9, axiom,  (! [A] :  (! [B] :  (m1_finseq_2(B, A) =>  (! [C] :  (m2_finseq_1(C, B) =>  (! [D] :  (m2_finseq_1(D, B) => k2_measure9(A, B, k8_finseq_1(B, C, D))=k8_finseq_1(k4_ordinal1, k2_measure9(A, B, C), k2_measure9(A, B, D))) ) ) ) ) ) ) ).
fof(t7_measure9, axiom,  (! [A] :  (! [B] :  (m1_finseq_2(B, A) =>  (! [C] :  (m2_finseq_1(C, B) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(D, E) => r1_xxreal_0(k1_wsierp_1(k2_measure9(A, B, k17_finseq_1(B, D, C))), k1_wsierp_1(k2_measure9(A, B, k17_finseq_1(B, E, C))))) ) ) ) ) ) ) ) ) ) ).
fof(t8_measure9, axiom,  (! [A] :  (! [B] :  (m1_finseq_2(B, A) =>  (! [C] :  (m2_finseq_1(C, B) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(1, E) &  (k1_nat_1(D, k1_wsierp_1(k2_measure9(A, B, k17_finseq_1(B, F, C))))=k1_nat_1(E, k1_wsierp_1(k2_measure9(A, B, k17_finseq_1(B, G, C)))) &  (r1_xxreal_0(k1_nat_1(D, k1_wsierp_1(k2_measure9(A, B, k17_finseq_1(B, F, C)))), k1_wsierp_1(k2_measure9(A, B, k17_finseq_1(B, k1_nat_1(F, 1), C)))) & r1_xxreal_0(k1_nat_1(E, k1_wsierp_1(k2_measure9(A, B, k17_finseq_1(B, G, C)))), k1_wsierp_1(k2_measure9(A, B, k17_finseq_1(B, k1_nat_1(G, 1), C))))) ) ) )  =>  (D=E & F=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_measure9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_finseq_2(B, A) =>  (! [C] :  (m2_finseq_1(C, B) =>  (! [D] :  (m2_finseq_1(D, A) =>  (D=k3_measure9(A, B, C) <=>  (k3_finseq_1(D)=k1_wsierp_1(k2_measure9(A, B, C)) &  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_tarski(E, k4_finseq_1(D)) &  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ~ ( (r1_xxreal_0(1, G) &  (r1_xxreal_0(G, k3_finseq_1(k1_measure9(A, B, C, k1_nat_1(F, 1)))) &  ( ~ (r1_xxreal_0(k3_finseq_1(C), F))  &  (k1_nat_1(G, k1_wsierp_1(k2_measure9(A, B, k17_finseq_1(B, F, C))))=E &  (r1_xxreal_0(E, k1_wsierp_1(k2_measure9(A, B, k17_finseq_1(B, k1_nat_1(F, 1), C)))) & k1_funct_1(D, E)=k1_funct_1(k1_measure9(A, B, C, k1_nat_1(F, 1)), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_measure9, axiom,  (! [A] :  (! [B] :  (m1_finseq_2(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_ordinal1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  =>  (D=k4_measure9(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) => k12_supinf_2(D, E)=k3_finseq_1(k8_finseq_2(A, B, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t9_measure9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v2_setfam_1(B))  & m1_finseq_2(B, A)) )  =>  (! [C] :  ( (v2_relat_1(C) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(1, k3_finseq_1(k8_finseq_2(A, B, C, D))) &  ( ~ (r1_xxreal_0(k12_supinf_2(k5_measure9(k4_measure9(A, B, C)), D), D))  &  ~ (r1_xxreal_0(k12_supinf_2(k5_measure9(k4_measure9(A, B, C)), k1_nat_1(D, 1)), k12_supinf_2(k5_measure9(k4_measure9(A, B, C)), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_measure9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v2_setfam_1(B))  & m1_finseq_2(B, A)) )  =>  (! [C] :  ( (v2_relat_1(C) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  (? [F] :  (v7_ordinal1(F) &  (r2_tarski(F, k4_finseq_1(k8_finseq_2(A, B, C, E))) & k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k12_supinf_2(k5_measure9(k4_measure9(A, B, C)), E), k3_finseq_1(k8_finseq_2(A, B, C, E))), F), 1)=D) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_measure9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v2_setfam_1(B))  & m1_finseq_2(B, A)) )  =>  (! [C] :  ( (v2_relat_1(C) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) )  => v5_valued_0(k5_measure9(k4_measure9(A, B, C)))) ) ) ) ) ) ).
fof(t12_measure9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v2_setfam_1(B))  & m1_finseq_2(B, A)) )  =>  (! [C] :  ( (v2_relat_1(C) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ( (r2_tarski(D, k4_finseq_1(k8_finseq_2(A, B, C, F))) &  (r2_tarski(E, k4_finseq_1(k8_finseq_2(A, B, C, G))) & k2_xcmplx_0(k6_xcmplx_0(k12_supinf_2(k5_measure9(k4_measure9(A, B, C)), F), k3_finseq_1(k8_finseq_2(A, B, C, F))), D)=k2_xcmplx_0(k6_xcmplx_0(k12_supinf_2(k5_measure9(k4_measure9(A, B, C)), G), k3_finseq_1(k8_finseq_2(A, B, C, G))), E)) )  =>  (D=E & F=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_measure9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_setfam_1(B))  & m1_finseq_2(B, A))  =>  (! [C] :  ( (v2_relat_1(C) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) )  =>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_ordinal1) &  (v5_valued_0(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) )  &  (! [E] :  (v7_ordinal1(E) => k12_supinf_2(D, E)=k6_xcmplx_0(k12_supinf_2(k5_measure9(k4_measure9(A, B, C)), E), 1)) ) ) ) ) ) ) ) ) ) ).
fof(d4_measure9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_setfam_1(B))  & m1_finseq_2(B, A))  =>  (! [C] :  ( (v2_relat_1(C) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  =>  (D=k6_measure9(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) =>  (? [F] :  (v7_ordinal1(F) &  (? [G] :  (v7_ordinal1(G) &  (r2_tarski(G, k4_finseq_1(k8_finseq_2(A, B, C, F))) &  (k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k12_supinf_2(k5_measure9(k4_measure9(A, B, C)), F), k3_finseq_1(k8_finseq_2(A, B, C, F))), G), 1)=E & k8_nat_1(A, D, E)=k1_funct_1(k8_finseq_2(A, B, C, F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_measure9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_setfam_1(B))  & m1_finseq_2(B, A))  =>  (! [C] :  ( (v2_relat_1(C) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  =>  ( (! [E] :  (v7_ordinal1(E) => k8_nat_1(A, D, E)=k1_funct_1(k6_measure9(A, B, C), k6_xcmplx_0(k12_supinf_2(k5_measure9(k4_measure9(A, B, C)), E), 1))) )  => m2_valued_0(D, A, k6_measure9(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t15_measure9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_setfam_1(B))  & m1_finseq_2(B, A))  =>  (! [C] :  ( (v2_relat_1(C) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_tarski(E, k4_finseq_1(k8_finseq_2(A, B, C, D))) &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (F=k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k12_supinf_2(k5_measure9(k4_measure9(A, B, C)), D), k3_finseq_1(k8_finseq_2(A, B, C, D))), E), 1) & k8_nat_1(A, k6_measure9(A, B, C), F)=k1_funct_1(k8_finseq_2(A, B, C, D), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_measure9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_finseq_2(B, A) =>  (! [C] :  (m2_finseq_1(C, B) =>  ( ( (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( ~ (D=E)  => r1_xboole_0(k3_tarski(k2_relset_1(A, k1_measure9(A, B, C, D))), k3_tarski(k2_relset_1(A, k1_measure9(A, B, C, E))))) ) ) ) )  &  (! [D] :  (v7_ordinal1(D) => v1_prob_2(k1_measure9(A, B, C, D))) ) )  => v1_prob_2(k3_measure9(A, B, C))) ) ) ) ) ) ) ).
fof(d5_measure9, axiom,  (! [A] :  (m2_finseq_1(A, k3_finseq_2(k6_numbers)) =>  (! [B] :  (m2_finseq_1(B, k6_numbers) =>  (B=k8_measure9(A) <=>  (k3_finseq_1(B)=k3_finseq_1(A) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => k12_supinf_2(B, C)=k4_extreal1(k1_measure9(k6_numbers, k3_finseq_2(k6_numbers), A, C))) ) ) ) ) ) ) ) ) ).
fof(d6_measure9, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k6_numbers)))  => k9_measure9(A)=k4_extreal1(k8_measure9(A))) ) ).
fof(t18_measure9, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k6_numbers)))  =>  (k3_finseq_1(k8_measure9(A))=k3_finseq_1(A) &  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k2_finseq_1(k3_finseq_1(A))) => k12_supinf_2(k8_measure9(A), B)=k4_extreal1(k7_matrix_0(k6_numbers, A, B))) ) ) ) ) ) ).
fof(t19_measure9, axiom,  (! [A] :  (m2_finseq_1(A, k6_numbers) =>  ~ ( ( (! [B] :  (v7_ordinal1(B) =>  ~ ( (r2_tarski(B, k4_finseq_1(A)) & k12_supinf_2(A, B)=k2_supinf_1) ) ) )  & k4_extreal1(A)=k2_supinf_1) ) ) ) ).
fof(t20_measure9, axiom,  (! [A] :  (m2_finseq_1(A, k6_numbers) =>  (! [B] :  (m2_finseq_1(B, k6_numbers) =>  (! [C] :  (m2_finseq_1(C, k6_numbers) =>  ( (k4_finseq_1(A)=k4_finseq_1(B) & r2_relset_1(k4_ordinal1, k6_numbers, C, k3_mesfunc1(k4_ordinal1, A, B)))  =>  (r2_tarski(k2_supinf_1, k2_relset_1(k6_numbers, A)) |  (r2_tarski(k2_supinf_1, k2_relset_1(k6_numbers, B)) | k4_extreal1(C)=k3_supinf_2(k4_extreal1(A), k4_extreal1(B))) ) ) ) ) ) ) ) ) ).
fof(t21_measure9, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) =>  (! [B] :  (m2_finseq_1(B, k6_numbers) => k4_extreal1(k8_finseq_1(k6_numbers, B, k7_measure9(A)))=k3_supinf_2(k4_extreal1(B), A)) ) ) ) ).
fof(t22_measure9, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) =>  (! [B] :  (v7_ordinal1(B) =>  (v1_xreal_0(A) => k4_extreal1(k5_finseq_2(k6_numbers, B, A))=k4_xxreal_3(B, A)) ) ) ) ) ).
fof(t23_measure9, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k6_numbers)))  =>  (k3_finseq_1(A)=k5_numbers => k9_measure9(A)=k5_numbers) ) ) ).
fof(t24_measure9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k6_numbers, A, k5_numbers) & m2_finseq_1(B, k3_finseq_2(k6_numbers))) )  => k9_measure9(B)=k5_numbers) ) ) ) ).
fof(t25_measure9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k6_numbers, A, C) & m2_finseq_1(D, k3_finseq_2(k6_numbers))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, k6_numbers, B, C) & m2_finseq_1(E, k3_finseq_2(k6_numbers))) )  => k8_measure9(k8_matrlin(k6_numbers, A, B, C, D, E))=k8_finseq_1(k6_numbers, k8_measure9(D), k8_measure9(E))) ) ) ) ) ) ) ) ) ) ).
fof(t26_measure9, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k6_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k6_numbers)))  =>  ( ( (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(C, k4_finseq_1(A)) & r2_tarski(k2_supinf_1, k2_relset_1(k6_numbers, k1_measure9(k6_numbers, k3_finseq_2(k6_numbers), A, C)))) ) ) )  &  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(C, k4_finseq_1(B)) & r2_tarski(k2_supinf_1, k2_relset_1(k6_numbers, k1_measure9(k6_numbers, k3_finseq_2(k6_numbers), B, C)))) ) ) ) )  => r2_relset_1(k4_ordinal1, k6_numbers, k3_mesfunc1(k4_ordinal1, k8_measure9(A), k8_measure9(B)), k8_measure9(k7_matrlin(k6_numbers, A, B)))) ) ) ) ) ).
fof(t27_measure9, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k6_numbers)))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k6_numbers)))  =>  ( (k3_finseq_1(A)=k3_finseq_1(B) &  ( (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(C, k4_finseq_1(A)) & r2_tarski(k2_supinf_1, k2_relset_1(k6_numbers, k1_measure9(k6_numbers, k3_finseq_2(k6_numbers), A, C)))) ) ) )  &  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(C, k4_finseq_1(B)) & r2_tarski(k2_supinf_1, k2_relset_1(k6_numbers, k1_measure9(k6_numbers, k3_finseq_2(k6_numbers), B, C)))) ) ) ) ) )  => k3_supinf_2(k9_measure9(A), k9_measure9(B))=k9_measure9(k7_matrlin(k6_numbers, A, B))) ) ) ) ) ).
fof(t28_measure9, axiom,  (! [A] :  (m2_finseq_1(A, k6_numbers) =>  ( ~ (r2_tarski(k2_supinf_1, k2_relset_1(k6_numbers, A)))  => k9_measure9(k2_matrlin(k6_numbers, A))=k9_measure9(k4_matrix_0(k6_numbers, k2_matrlin(k6_numbers, A)))) ) ) ).
fof(t29_measure9, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(k6_numbers)))  =>  ( (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(C, k4_finseq_1(B)) & r2_tarski(A, k2_relset_1(k6_numbers, k1_measure9(k6_numbers, k3_finseq_2(k6_numbers), B, C)))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(C, k4_finseq_1(k4_matrix_0(k6_numbers, B))) & r2_tarski(A, k2_relset_1(k6_numbers, k1_measure9(k6_numbers, k3_finseq_2(k6_numbers), k4_matrix_0(k6_numbers, B), C)))) ) ) ) ) ) ) ) ) ).
fof(t30_measure9, axiom,  (! [A] :  ( (v1_matrix_0(A) & m2_finseq_1(A, k3_finseq_2(k6_numbers)))  =>  ( (! [B] :  (v7_ordinal1(B) =>  ~ ( (r2_tarski(B, k4_finseq_1(A)) & r2_tarski(k2_supinf_1, k2_relset_1(k6_numbers, k1_measure9(k6_numbers, k3_finseq_2(k6_numbers), A, B)))) ) ) )  => k9_measure9(A)=k9_measure9(k4_matrix_0(k6_numbers, A))) ) ) ).
fof(t31_measure9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_setfam_1(B))  &  (v2_finsub_1(B) &  (v1_srings_3(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_finseq_1(C, B) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (? [E] :  ( (v1_prob_2(E) & m2_finseq_1(E, B))  & k7_subset_1(A, D, k3_card_3(C))=k3_card_3(E)) ) ) ) ) ) ) ) ) ).
fof(d7_measure9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_setfam_1(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) )  =>  (m1_measure9(C, A, B) <=>  ( (! [D] :  ( (v1_prob_2(D) & m2_finseq_1(D, B))  =>  (r2_tarski(k3_card_3(D), B) => k12_supinf_2(C, k3_card_3(D))=k4_extreal1(k4_finseqop(B, k6_numbers, D, C))) ) )  &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) &  (v1_prob_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) )  =>  (r2_tarski(k3_card_3(D), B) => r1_xxreal_0(k12_supinf_2(C, k3_card_3(D)), k17_supinf_2(k1_partfun1(k4_ordinal1, B, B, k6_numbers, D, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t32_measure9, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  &  ( (! [D] :  (v7_ordinal1(D) => k1_funct_1(B, D)=k8_nat_1(A, C, D)) )  & k3_card_3(B)=k3_card_3(C)) ) ) ) ) ) ) ).
fof(t33_measure9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  =>  ( (! [D] :  (v7_ordinal1(D) => k1_funct_1(B, D)=k8_nat_1(A, C, D)) )  =>  (v1_prob_2(B) <=> v1_prob_2(C)) ) ) ) ) ) ) ) ).
fof(t34_measure9, axiom,  (! [A] :  (m2_finseq_1(A, k6_numbers) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( (! [C] :  (v7_ordinal1(C) => k12_supinf_2(A, C)=k12_supinf_2(B, C)) )  =>  (v6_supinf_2(A) <=> v6_supinf_2(B)) ) ) ) ) ) ).
fof(t35_measure9, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) => k4_extreal1(k7_measure9(A))=A) ) ).
fof(t36_measure9, axiom,  (! [A] :  (m2_finseq_1(A, k6_numbers) =>  (! [B] :  (v7_ordinal1(B) =>  ( (v3_mesfunc5(A) => v3_mesfunc5(k17_finseq_1(k6_numbers, B, A)))  &  (v4_mesfunc5(A) => v4_mesfunc5(k17_finseq_1(k6_numbers, B, A))) ) ) ) ) ) ).
fof(t37_measure9, axiom,  (! [A] :  ( (v3_mesfunc5(A) & m2_finseq_1(A, k6_numbers))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( (! [C] :  (v7_ordinal1(C) => k12_supinf_2(A, C)=k12_supinf_2(B, C)) )  =>  (! [C] :  (v7_ordinal1(C) => k4_extreal1(k17_finseq_1(k6_numbers, C, A))=k12_supinf_2(k1_mesfunc9(B), C)) ) ) ) ) ) ) ).
fof(t38_measure9, axiom,  (! [A] :  ( (v3_mesfunc5(A) & m2_finseq_1(A, k6_numbers))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( (! [C] :  (v7_ordinal1(C) => k12_supinf_2(A, C)=k12_supinf_2(B, C)) )  =>  (v1_mesfunc9(B) & k4_extreal1(A)=k2_mesfunc9(B)) ) ) ) ) ) ).
fof(t39_measure9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_setfam_1(B))  &  (v2_finsub_1(B) &  (v1_srings_3(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_prob_2(C) & m2_finseq_1(C, B))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v4_finsub_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(A)))) )  =>  ( (r1_tarski(B, D) & r2_tarski(k3_card_3(C), D))  =>  (! [E] :  (v7_ordinal1(E) => r2_tarski(k3_card_3(k17_finseq_1(B, E, C)), D)) ) ) ) ) ) ) ) ) ) ).
fof(t40_measure9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_setfam_1(B))  &  (v2_finsub_1(B) &  (v1_srings_3(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_measure9(C, A, B) =>  (! [D] :  ( (v1_prob_2(D) & m2_finseq_1(D, B))  =>  (! [E] :  ( (v1_prob_2(E) & m2_finseq_1(E, B))  =>  ( (r2_tarski(k3_card_3(D), B) & k3_card_3(D)=k3_card_3(E))  => k12_supinf_2(C, k3_card_3(D))=k12_supinf_2(C, k3_card_3(E))) ) ) ) ) ) ) ) ) ) ).
fof(t41_measure9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v2_finsub_1(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (? [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, A, k3_finseq_1(B), k3_finseq_1(C)) & m2_finseq_1(D, k3_finseq_2(A))) )  &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (r2_hidden(k4_tarski(E, F), k2_matrix_0(D)) => k3_matrix_0(A, D, E, F)=k3_xboole_0(k1_funct_1(B, E), k1_funct_1(C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_measure9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_setfam_1(B))  &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_2(C) & m2_finseq_1(C, B)) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_2(D) & m2_finseq_1(D, B)) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) )  =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, k6_numbers, k3_finseq_1(C), k3_finseq_1(D)) & m2_finseq_1(F, k3_finseq_2(k6_numbers))) )  =>  ( (k3_card_3(C)=k3_card_3(D) &  ( (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (v7_ordinal1(H) =>  (r2_hidden(k4_tarski(G, H), k2_matrix_0(F)) => k3_matrix_0(k6_numbers, F, G, H)=k12_supinf_2(E, k3_xboole_0(k1_funct_1(C, G), k1_funct_1(D, H)))) ) ) ) )  &  (! [G] :  ( (v1_prob_2(G) & m2_finseq_1(G, B))  =>  (r2_tarski(k3_card_3(G), B) => k12_supinf_2(E, k3_card_3(G))=k4_extreal1(k4_finseqop(B, k6_numbers, G, E))) ) ) ) )  =>  ( (! [G] :  (v7_ordinal1(G) =>  (r1_xxreal_0(G, k3_finseq_1(k4_finseqop(B, k6_numbers, C, E))) => k12_supinf_2(k4_finseqop(B, k6_numbers, C, E), G)=k12_supinf_2(k8_measure9(F), G)) ) )  & k4_extreal1(k4_finseqop(B, k6_numbers, C, E))=k9_measure9(F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_measure9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_setfam_1(B))  &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_2(C) & m2_finseq_1(C, B)) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_2(D) & m2_finseq_1(D, B)) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) )  =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, k6_numbers, k3_finseq_1(C), k3_finseq_1(D)) & m2_finseq_1(F, k3_finseq_2(k6_numbers))) )  =>  ( (k3_card_3(C)=k3_card_3(D) &  ( (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (v7_ordinal1(H) =>  (r2_hidden(k4_tarski(G, H), k2_matrix_0(F)) => k3_matrix_0(k6_numbers, F, G, H)=k12_supinf_2(E, k3_xboole_0(k1_funct_1(C, G), k1_funct_1(D, H)))) ) ) ) )  &  (! [G] :  ( (v1_prob_2(G) & m2_finseq_1(G, B))  =>  (r2_tarski(k3_card_3(G), B) => k12_supinf_2(E, k3_card_3(G))=k4_extreal1(k4_finseqop(B, k6_numbers, G, E))) ) ) ) )  =>  ( (! [G] :  (v7_ordinal1(G) =>  (r1_xxreal_0(G, k3_finseq_1(k4_finseqop(B, k6_numbers, D, E))) => k12_supinf_2(k4_finseqop(B, k6_numbers, D, E), G)=k12_supinf_2(k8_measure9(k4_matrix_0(k6_numbers, F)), G)) ) )  & k4_extreal1(k4_finseqop(B, k6_numbers, D, E))=k9_measure9(k4_matrix_0(k6_numbers, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_measure9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_setfam_1(B))  &  (v2_finsub_1(B) &  (v1_srings_3(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_measure9(C, A, B) =>  (! [D] :  (r2_tarski(D, k1_srings_3(A, B)) =>  (! [E] :  ( (v1_prob_2(E) & m2_finseq_1(E, B))  =>  (! [F] :  ( (v1_prob_2(F) & m2_finseq_1(F, B))  =>  ( (D=k3_card_3(E) & D=k3_card_3(F))  => k4_extreal1(k4_finseqop(B, k6_numbers, E, C))=k4_extreal1(k4_finseqop(B, k6_numbers, F, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_measure9, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( (v1_prob_2(A) &  (v1_prob_2(B) & r1_xboole_0(k3_tarski(k10_xtuple_0(A)), k3_tarski(k10_xtuple_0(B)))) )  => v1_prob_2(k7_finseq_1(A, B))) ) ) ) ) ).
fof(t46_measure9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_setfam_1(B))  &  (v1_srings_3(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) )  =>  (! [C] :  (m1_measure9(C, A, B) =>  (! [D] :  (! [E] :  ( (r2_tarski(D, B) &  (r2_tarski(E, B) &  (r2_tarski(k6_subset_1(D, E), B) & r1_tarski(E, D)) ) )  => r1_xxreal_0(k12_supinf_2(C, E), k12_supinf_2(C, D))) ) ) ) ) ) ) ) ).
fof(t47_measure9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k6_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) )  =>  (v6_supinf_2(D) => v6_supinf_2(k1_partfun1(A, B, B, k6_numbers, C, D))) ) ) ) ) ) ) ) ) ).
fof(t48_measure9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_setfam_1(B))  &  (v2_finsub_1(B) &  (v1_srings_3(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_measure9(C, A, B) =>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_srings_3(A, B), k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v2_measure1(D, A, k1_srings_3(A, B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_srings_3(A, B), k6_numbers)))) ) ) ) )  &  (! [E] :  (r2_tarski(E, k1_srings_3(A, B)) =>  (! [F] :  ( (v1_prob_2(F) & m2_finseq_1(F, B))  =>  (E=k3_card_3(F) => k12_supinf_2(D, E)=k4_extreal1(k4_finseqop(B, k6_numbers, F, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_measure9, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  ( ( (! [E] :  (v7_ordinal1(E) => k8_nat_1(k9_setfam_1(A), D, E)=k8_subset_1(A, k8_nat_1(k9_setfam_1(A), C, E), B)) )  & k1_prob_1(A, C)=B)  => k1_prob_1(A, D)=k1_prob_1(A, C)) ) ) ) ) ) ) ).
fof(t50_measure9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_setfam_1(B))  &  (v2_finsub_1(B) &  (v1_srings_3(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_measure9(C, A, B) =>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_srings_3(A, B), k6_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_srings_3(A, B), k6_numbers)))) )  &  (k12_supinf_2(D, k1_xboole_0)=k5_numbers &  (! [E] :  ( (v1_prob_2(E) & m2_finseq_1(E, B))  =>  (r2_tarski(k3_card_3(E), k1_srings_3(A, B)) => k12_supinf_2(D, k3_card_3(E))=k4_extreal1(k4_finseqop(B, k6_numbers, E, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_measure9, axiom,  (! [A] :  (! [B] :  (m2_srings_3(B, A) =>  (! [C] :  (m1_measure9(C, A, B) =>  (! [D] :  (! [E] :  ( (v1_prob_2(E) & m2_finseq_1(E, B))  =>  (! [F] :  ( (v1_prob_2(F) & m2_finseq_1(F, B))  =>  ( (D=k3_card_3(E) & D=k3_card_3(F))  => k4_extreal1(k4_finseqop(B, k6_numbers, E, C))=k4_extreal1(k4_finseqop(B, k6_numbers, F, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_measure9, axiom,  (! [A] :  (! [B] :  (m2_srings_3(B, A) =>  (! [C] :  (m1_measure9(C, A, B) =>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_srings_3(A, B), k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v2_measure1(D, A, k4_srings_3(A, B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_srings_3(A, B), k6_numbers)))) ) ) ) )  &  (! [E] :  (r2_tarski(E, k4_srings_3(A, B)) =>  (! [F] :  ( (v1_prob_2(F) & m2_finseq_1(F, B))  =>  (E=k3_card_3(F) => k12_supinf_2(D, E)=k4_extreal1(k4_finseqop(B, k6_numbers, F, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_measure9, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k6_numbers) =>  ( (! [D] :  (v7_ordinal1(D) => k12_supinf_2(A, D)=C) )  => k12_supinf_2(k1_mesfunc9(A), B)=k4_xxreal_3(C, k1_nat_1(B, 1))) ) ) ) ) ) ) ).
fof(t57_measure9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  =>  (! [C] :  (v7_ordinal1(C) => k2_relset_1(A, k2_partfun1(k4_ordinal1, A, B, k6_ordinal1(k1_nat_1(C, 1))))=k2_xboole_0(k2_relset_1(A, k2_partfun1(k4_ordinal1, A, B, k6_ordinal1(C))), k1_tarski(k8_nat_1(A, B, C)))) ) ) ) ) ) ).
fof(t58_measure9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v2_finsub_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v2_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) &  (v1_prob_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) )  =>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(k3_tarski(k2_relset_1(B, k2_partfun1(k4_ordinal1, B, D, k6_ordinal1(k1_nat_1(E, 1))))), B) & k12_supinf_2(k1_mesfunc9(k1_partfun1(k4_ordinal1, B, B, k6_numbers, D, C)), E)=k12_supinf_2(C, k3_tarski(k2_relset_1(B, k2_partfun1(k4_ordinal1, B, D, k6_ordinal1(k1_nat_1(E, 1))))))) ) ) ) ) ) ) ) ) ) ).
fof(t59_measure9, axiom,  (! [A] :  (! [B] :  (m2_srings_3(B, A) =>  (! [C] :  (m1_measure9(C, A, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_srings_3(A, B), k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v2_measure1(D, A, k4_srings_3(A, B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_srings_3(A, B), k6_numbers)))) ) ) ) )  =>  ( (! [E] :  (r2_tarski(E, k4_srings_3(A, B)) =>  (! [F] :  ( (v1_prob_2(F) & m2_finseq_1(F, B))  =>  (E=k3_card_3(F) => k12_supinf_2(D, E)=k4_extreal1(k4_finseqop(B, k6_numbers, F, C))) ) ) ) )  => v1_measure8(D, A, k4_srings_3(A, B))) ) ) ) ) ) ) ) ).
fof(d8_measure9, axiom,  (! [A] :  (! [B] :  (m2_srings_3(B, A) =>  (! [C] :  (m1_measure9(C, A, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_srings_3(A, B), k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v2_measure1(D, A, k4_srings_3(A, B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_srings_3(A, B), k6_numbers)))) ) ) ) )  =>  (m2_measure9(D, A, B, C) <=>  (! [E] :  (r2_tarski(E, k4_srings_3(A, B)) =>  (! [F] :  ( (v1_prob_2(F) & m2_finseq_1(F, B))  =>  (E=k3_card_3(F) => k12_supinf_2(D, E)=k4_extreal1(k4_finseqop(B, k6_numbers, F, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_measure9, axiom,  (! [A] :  (! [B] :  (m2_srings_3(B, A) =>  (! [C] :  (m1_measure9(C, A, B) =>  (! [D] :  (m2_measure9(D, A, B, C) => v1_measure8(D, A, k4_srings_3(A, B))) ) ) ) ) ) ) ).
fof(t61_measure9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_srings_3(B, A) =>  (! [C] :  (m1_measure9(C, A, B) =>  (! [D] :  (m2_measure9(D, A, B, C) =>  (v1_funct_1(k2_partfun1(k1_measure4(A, k9_measure8(A, k4_srings_3(A, B), D)), k6_numbers, k3_measure4(A, k9_measure8(A, k4_srings_3(A, B), D)), k9_prob_1(A, k4_srings_3(A, B)))) &  (v1_funct_2(k2_partfun1(k1_measure4(A, k9_measure8(A, k4_srings_3(A, B), D)), k6_numbers, k3_measure4(A, k9_measure8(A, k4_srings_3(A, B), D)), k9_prob_1(A, k4_srings_3(A, B))), k9_prob_1(A, k4_srings_3(A, B)), k6_numbers) &  (v10_valued_0(k2_partfun1(k1_measure4(A, k9_measure8(A, k4_srings_3(A, B), D)), k6_numbers, k3_measure4(A, k9_measure8(A, k4_srings_3(A, B), D)), k9_prob_1(A, k4_srings_3(A, B)))) &  (v6_supinf_2(k2_partfun1(k1_measure4(A, k9_measure8(A, k4_srings_3(A, B), D)), k6_numbers, k3_measure4(A, k9_measure8(A, k4_srings_3(A, B), D)), k9_prob_1(A, k4_srings_3(A, B)))) &  (v4_measure1(k2_partfun1(k1_measure4(A, k9_measure8(A, k4_srings_3(A, B), D)), k6_numbers, k3_measure4(A, k9_measure8(A, k4_srings_3(A, B), D)), k9_prob_1(A, k4_srings_3(A, B))), A, k9_prob_1(A, k4_srings_3(A, B))) & m1_subset_1(k2_partfun1(k1_measure4(A, k9_measure8(A, k4_srings_3(A, B), D)), k6_numbers, k3_measure4(A, k9_measure8(A, k4_srings_3(A, B), D)), k9_prob_1(A, k4_srings_3(A, B))), k1_zfmisc_1(k2_zfmisc_1(k9_prob_1(A, k4_srings_3(A, B)), k6_numbers)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_measure9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_srings_3(B, A) =>  (! [C] :  (m1_measure9(C, A, B) =>  (! [D] :  (m2_measure9(D, A, B, C) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k9_prob_1(A, k4_srings_3(A, B)), k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, k9_prob_1(A, k4_srings_3(A, B))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k9_prob_1(A, k4_srings_3(A, B)), k6_numbers)))) ) ) ) )  =>  (m3_measure9(E, A, B, C, D) <=> E=k2_partfun1(k1_measure4(A, k9_measure8(A, k4_srings_3(A, B), D)), k6_numbers, k3_measure4(A, k9_measure8(A, k4_srings_3(A, B), D)), k9_prob_1(A, k4_srings_3(A, B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_measure9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_srings_3(B, A) =>  (! [C] :  (m1_measure9(C, A, B) =>  (! [D] :  (m2_measure9(D, A, B, C) =>  (! [E] :  (m3_measure9(E, A, B, C, D) => r1_measure8(A, k4_srings_3(A, B), k9_prob_1(A, k4_srings_3(A, B)), D, E)) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_measure9, axiom,  (! [A, B, C, D] :  ( (m1_finseq_2(B, A) &  (m1_finseq_1(C, B) & v7_ordinal1(D)) )  => m2_finseq_1(k1_measure9(A, B, C, D), A)) ) ).
fof(redefinition_k1_measure9, axiom,  (! [A, B, C, D] :  ( (m1_finseq_2(B, A) &  (m1_finseq_1(C, B) & v7_ordinal1(D)) )  => k1_measure9(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(dt_k2_measure9, axiom,  (! [A, B, C] :  ( (m1_finseq_2(B, A) & m1_finseq_1(C, B))  => m2_finseq_1(k2_measure9(A, B, C), k4_ordinal1)) ) ).
fof(dt_k3_measure9, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_finseq_2(B, A) & m1_finseq_1(C, B)) )  => m2_finseq_1(k3_measure9(A, B, C), A)) ) ).
fof(dt_k4_measure9, axiom,  (! [A, B, C] :  ( (m1_finseq_2(B, A) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) )  =>  (v1_funct_1(k4_measure9(A, B, C)) &  (v1_funct_2(k4_measure9(A, B, C), k4_ordinal1, k4_ordinal1) & m1_subset_1(k4_measure9(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) ) ) ).
fof(dt_k5_measure9, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  =>  (v1_funct_1(k5_measure9(A)) &  (v1_funct_2(k5_measure9(A), k4_ordinal1, k4_ordinal1) & m1_subset_1(k5_measure9(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) ) ) ).
fof(redefinition_k5_measure9, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  => k5_measure9(A)=k2_series_1(A)) ) ).
fof(dt_k6_measure9, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_setfam_1(B))  & m1_finseq_2(B, A))  &  (v2_relat_1(C) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) ) ) )  =>  (v1_funct_1(k6_measure9(A, B, C)) &  (v1_funct_2(k6_measure9(A, B, C), k4_ordinal1, A) & m1_subset_1(k6_measure9(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) ) ) ) ).
fof(dt_k7_measure9, axiom,  (! [A] :  (v1_xxreal_0(A) => m2_finseq_1(k7_measure9(A), k6_numbers)) ) ).
fof(redefinition_k7_measure9, axiom,  (! [A] :  (v1_xxreal_0(A) => k7_measure9(A)=k5_finseq_1(A)) ) ).
fof(dt_k8_measure9, axiom,  (! [A] :  (m1_finseq_1(A, k3_finseq_2(k6_numbers)) => m2_finseq_1(k8_measure9(A), k6_numbers)) ) ).
fof(dt_k9_measure9, axiom,  (! [A] :  ( (v1_matrix_0(A) & m1_finseq_1(A, k3_finseq_2(k6_numbers)))  => m1_subset_1(k9_measure9(A), k6_numbers)) ) ).
fof(dt_m1_measure9, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  (! [C] :  (m1_measure9(C, A, B) =>  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) ) ) ) ).
fof(existence_m1_measure9, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  (? [C] : m1_measure9(C, A, B)) ) ) ).
fof(dt_m2_measure9, axiom,  (! [A, B, C] :  ( (m2_srings_3(B, A) & m1_measure9(C, A, B))  =>  (! [D] :  (m2_measure9(D, A, B, C) =>  (v1_funct_1(D) &  (v1_funct_2(D, k4_srings_3(A, B), k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v2_measure1(D, A, k4_srings_3(A, B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_srings_3(A, B), k6_numbers)))) ) ) ) ) ) ) ) ) ).
fof(existence_m2_measure9, axiom,  (! [A, B, C] :  ( (m2_srings_3(B, A) & m1_measure9(C, A, B))  =>  (? [D] : m2_measure9(D, A, B, C)) ) ) ).
fof(dt_m3_measure9, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m2_srings_3(B, A) &  (m1_measure9(C, A, B) & m2_measure9(D, A, B, C)) ) )  =>  (! [E] :  (m3_measure9(E, A, B, C, D) =>  (v1_funct_1(E) &  (v1_funct_2(E, k9_prob_1(A, k4_srings_3(A, B)), k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, k9_prob_1(A, k4_srings_3(A, B))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k9_prob_1(A, k4_srings_3(A, B)), k6_numbers)))) ) ) ) ) ) ) ) ) ).
fof(existence_m3_measure9, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m2_srings_3(B, A) &  (m1_measure9(C, A, B) & m2_measure9(D, A, B, C)) ) )  =>  (? [E] : m3_measure9(E, A, B, C, D)) ) ) ).
fof(t17_measure9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_finseq_2(B, A) =>  (! [C] :  (m2_finseq_1(C, B) => k2_relset_1(A, k3_measure9(A, B, C))=k3_tarski(a_3_0_measure9(A, B, C))) ) ) ) ) ) ).
fof(t51_measure9, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v1_setfam_1(C))  &  (v2_finsub_1(C) &  (v1_srings_3(C) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_srings_3(A, C)) &  (v1_prob_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_srings_3(A, C))))) ) )  =>  (B=a_3_1_measure9(A, C, D) =>  (m1_finseq_2(k10_xtuple_0(B), C) &  ( (! [E] :  (r2_hidden(E, k2_relset_1(k1_srings_3(A, C), D)) <=>  (? [F] :  (m2_finseq_1(F, C) &  (r2_tarski(F, k10_xtuple_0(B)) & k3_card_3(F)=E) ) ) ) )  & v1_setfam_1(k10_xtuple_0(B))) ) ) ) ) ) ) ) ) ).
fof(t52_measure9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_setfam_1(B))  &  (v2_finsub_1(B) &  (v1_srings_3(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_srings_3(A, B)) &  (v1_prob_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_srings_3(A, B))))) ) )  =>  ~ ( ( ~ (v2_setfam_1(k2_relset_1(k1_srings_3(A, B), C)))  &  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_finseq_2(D, B))  =>  ~ ( (D=a_3_2_measure9(A, B, C) & v1_setfam_1(D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_measure9, axiom,  (! [A] :  (! [B] :  (! [C] :  (m2_srings_3(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_srings_3(A, C)) &  (v1_prob_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_srings_3(A, C))))) ) )  =>  (B=a_3_3_measure9(A, C, D) =>  (m1_finseq_2(k10_xtuple_0(B), C) &  ( (! [E] :  (r2_hidden(E, k2_relset_1(k4_srings_3(A, C), D)) <=>  (? [F] :  (m2_finseq_1(F, C) &  (r2_tarski(F, k10_xtuple_0(B)) & k3_card_3(F)=E) ) ) ) )  & v1_setfam_1(k10_xtuple_0(B))) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_measure9, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  (m1_finseq_2(C, B) & m2_finseq_1(D, C)) )  =>  (r2_hidden(A, a_3_0_measure9(B, C, D)) <=>  (? [E] :  (v7_ordinal1(E) &  (A=k2_relset_1(B, k1_measure9(B, C, D, E)) & r2_tarski(E, k4_finseq_1(D))) ) ) ) ) ) ).
fof(fraenkel_a_3_1_measure9, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_setfam_1(C))  &  (v2_finsub_1(C) &  (v1_srings_3(C) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_srings_3(B, C)) &  (v1_prob_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_srings_3(B, C))))) ) ) )  =>  (r2_hidden(A, a_3_1_measure9(B, C, D)) <=>  (? [E, F] :  ( (v7_ordinal1(E) &  (v1_prob_2(F) & m2_finseq_1(F, C)) )  &  (A=k4_tarski(E, F) &  (k3_card_3(F)=k8_nat_1(k1_srings_3(B, C), D, E) &  (k8_nat_1(k1_srings_3(B, C), D, E)=k1_xboole_0 => F=k7_measure9(k1_xboole_0)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_2_measure9, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_setfam_1(C))  &  (v2_finsub_1(C) &  (v1_srings_3(C) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_srings_3(B, C)) &  (v1_prob_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_srings_3(B, C))))) ) ) )  =>  (r2_hidden(A, a_3_2_measure9(B, C, D)) <=>  (? [E] :  ( (v1_prob_2(E) & m2_finseq_1(E, C))  &  (A=E &  (r2_tarski(k3_card_3(E), k2_relset_1(k1_srings_3(B, C), D)) &  ~ (E=k1_xboole_0) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_3_measure9, axiom,  (! [A, B, C, D] :  ( (m2_srings_3(C, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_srings_3(B, C)) &  (v1_prob_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_srings_3(B, C))))) ) ) )  =>  (r2_hidden(A, a_3_3_measure9(B, C, D)) <=>  (? [E, F] :  ( (v7_ordinal1(E) &  (v1_prob_2(F) & m2_finseq_1(F, C)) )  &  (A=k4_tarski(E, F) &  (k3_card_3(F)=k8_nat_1(k4_srings_3(B, C), D, E) &  (k8_nat_1(k4_srings_3(B, C), D, E)=k1_xboole_0 => F=k7_measure9(k1_xboole_0)) ) ) ) ) ) ) ) ).
fof(fc1_member_1, axiom,  (! [A, B, C, D] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) &  (v1_xcmplx_0(C) & v1_xcmplx_0(D)) ) )  => v1_membered(k2_enumset1(A, B, C, D))) ) ).
fof(fc2_member_1, axiom,  (! [A, B, C, D] :  ( (v1_xxreal_0(A) &  (v1_xxreal_0(B) &  (v1_xxreal_0(C) & v1_xxreal_0(D)) ) )  => v2_membered(k2_enumset1(A, B, C, D))) ) ).
fof(fc3_member_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (v2_membered(k4_member_1(A)) & v1_xboole_0(k4_member_1(A))) ) ) ).
fof(fc4_member_1, axiom,  (! [A] :  ( (v2_membered(A) &  ~ (v1_xboole_0(A)) )  =>  (v2_membered(k4_member_1(A)) &  ~ (v1_xboole_0(k4_member_1(A))) ) ) ) ).
fof(fc5_member_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (v1_membered(k5_member_1(A)) & v1_xboole_0(k5_member_1(A))) ) ) ).
fof(fc6_member_1, axiom,  (! [A] :  ( (v1_membered(A) &  ~ (v1_xboole_0(A)) )  =>  (v1_membered(k5_member_1(A)) &  ~ (v1_xboole_0(k5_member_1(A))) ) ) ) ).
fof(fc7_member_1, axiom,  (! [A] :  (v3_membered(A) =>  (v1_membered(k5_member_1(A)) & v3_membered(k5_member_1(A))) ) ) ).
fof(fc8_member_1, axiom,  (! [A] :  (v4_membered(A) =>  (v1_membered(k5_member_1(A)) & v4_membered(k5_member_1(A))) ) ) ).
fof(fc9_member_1, axiom,  (! [A] :  (v5_membered(A) =>  (v1_membered(k5_member_1(A)) & v5_membered(k5_member_1(A))) ) ) ).
fof(ie1_member_1, axiom,  (! [A, B] :  ( (v3_membered(A) & v2_membered(B))  =>  (A=B => k5_member_1(A)=k4_member_1(B)) ) ) ).
fof(fc10_member_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (v2_membered(k6_member_1(A)) & v1_xboole_0(k6_member_1(A))) ) ) ).
fof(fc11_member_1, axiom,  (! [A] :  ( (v2_membered(A) &  ~ (v1_xboole_0(A)) )  =>  (v2_membered(k6_member_1(A)) &  ~ (v1_xboole_0(k6_member_1(A))) ) ) ) ).
fof(fc12_member_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (v1_membered(k7_member_1(A)) & v1_xboole_0(k7_member_1(A))) ) ) ).
fof(fc13_member_1, axiom,  (! [A] :  ( (v1_membered(A) &  ~ (v1_xboole_0(A)) )  =>  (v1_membered(k7_member_1(A)) &  ~ (v1_xboole_0(k7_member_1(A))) ) ) ) ).
fof(fc14_member_1, axiom,  (! [A] :  (v3_membered(A) =>  (v1_membered(k7_member_1(A)) & v3_membered(k7_member_1(A))) ) ) ).
fof(fc15_member_1, axiom,  (! [A] :  (v4_membered(A) =>  (v1_membered(k7_member_1(A)) & v4_membered(k7_member_1(A))) ) ) ).
fof(ie2_member_1, axiom,  (! [A, B] :  ( (v3_membered(A) & v2_membered(B))  =>  (A=B => k7_member_1(A)=k6_member_1(B)) ) ) ).
fof(fc16_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v2_membered(B))  => v1_xboole_0(k8_member_1(A, B))) ) ).
fof(fc17_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v2_membered(B))  => v1_xboole_0(k8_member_1(B, A))) ) ).
fof(fc18_member_1, axiom,  (! [A, B] :  ( ( (v2_membered(A) &  ~ (v1_xboole_0(A)) )  &  (v2_membered(B) &  ~ (v1_xboole_0(B)) ) )  =>  ~ (v1_xboole_0(k8_member_1(A, B))) ) ) ).
fof(fc19_member_1, axiom,  (! [A, B] :  ( (v2_membered(A) & v2_membered(B))  => v2_membered(k8_member_1(A, B))) ) ).
fof(fc20_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_membered(B))  => v1_xboole_0(k9_member_1(A, B))) ) ).
fof(fc21_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_membered(B))  => v1_xboole_0(k9_member_1(B, A))) ) ).
fof(fc22_member_1, axiom,  (! [A, B] :  ( ( (v1_membered(A) &  ~ (v1_xboole_0(A)) )  &  (v1_membered(B) &  ~ (v1_xboole_0(B)) ) )  =>  ~ (v1_xboole_0(k9_member_1(A, B))) ) ) ).
fof(fc23_member_1, axiom,  (! [A, B] :  ( (v1_membered(A) & v1_membered(B))  => v1_membered(k9_member_1(A, B))) ) ).
fof(fc24_member_1, axiom,  (! [A, B] :  ( (v3_membered(A) & v3_membered(B))  => v3_membered(k9_member_1(A, B))) ) ).
fof(fc25_member_1, axiom,  (! [A, B] :  ( (v4_membered(A) & v4_membered(B))  => v4_membered(k9_member_1(A, B))) ) ).
fof(fc26_member_1, axiom,  (! [A, B] :  ( (v5_membered(A) & v5_membered(B))  => v5_membered(k9_member_1(A, B))) ) ).
fof(fc27_member_1, axiom,  (! [A, B] :  ( (v6_membered(A) & v6_membered(B))  => v6_membered(k9_member_1(A, B))) ) ).
fof(ie3_member_1, axiom,  (! [A, B, C, D] :  ( (v3_membered(A) &  (v3_membered(B) &  (v2_membered(C) & v2_membered(D)) ) )  =>  ( (A=C & B=D)  => k9_member_1(A, B)=k8_member_1(C, D)) ) ) ).
fof(fc28_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v2_membered(B))  => v1_xboole_0(k10_member_1(A, B))) ) ).
fof(fc29_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v2_membered(B))  => v1_xboole_0(k10_member_1(B, A))) ) ).
fof(fc30_member_1, axiom,  (! [A, B] :  ( ( (v2_membered(A) &  ~ (v1_xboole_0(A)) )  &  (v2_membered(B) &  ~ (v1_xboole_0(B)) ) )  =>  ~ (v1_xboole_0(k10_member_1(A, B))) ) ) ).
fof(fc31_member_1, axiom,  (! [A, B] :  ( (v2_membered(A) & v2_membered(B))  => v2_membered(k10_member_1(A, B))) ) ).
fof(fc32_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_membered(B))  => v1_xboole_0(k11_member_1(A, B))) ) ).
fof(fc33_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_membered(B))  => v1_xboole_0(k11_member_1(B, A))) ) ).
fof(fc34_member_1, axiom,  (! [A, B] :  ( ( (v1_membered(A) &  ~ (v1_xboole_0(A)) )  &  (v1_membered(B) &  ~ (v1_xboole_0(B)) ) )  =>  ~ (v1_xboole_0(k11_member_1(A, B))) ) ) ).
fof(fc35_member_1, axiom,  (! [A, B] :  ( (v1_membered(A) & v1_membered(B))  => v1_membered(k11_member_1(A, B))) ) ).
fof(fc36_member_1, axiom,  (! [A, B] :  ( (v3_membered(A) & v3_membered(B))  => v3_membered(k11_member_1(A, B))) ) ).
fof(fc37_member_1, axiom,  (! [A, B] :  ( (v4_membered(A) & v4_membered(B))  => v4_membered(k11_member_1(A, B))) ) ).
fof(fc38_member_1, axiom,  (! [A, B] :  ( (v5_membered(A) & v5_membered(B))  => v5_membered(k11_member_1(A, B))) ) ).
fof(ie4_member_1, axiom,  (! [A, B, C, D] :  ( (v3_membered(A) &  (v3_membered(B) &  (v2_membered(C) & v2_membered(D)) ) )  =>  ( (A=C & B=D)  => k11_member_1(A, B)=k10_member_1(C, D)) ) ) ).
fof(fc39_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v2_membered(B))  => v1_xboole_0(k12_member_1(A, B))) ) ).
fof(fc40_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v2_membered(B))  => v1_xboole_0(k12_member_1(B, A))) ) ).
fof(fc41_member_1, axiom,  (! [A, B] :  ( (v2_membered(A) & v2_membered(B))  => v2_membered(k12_member_1(A, B))) ) ).
fof(fc42_member_1, axiom,  (! [A, B] :  ( ( (v2_membered(A) &  ~ (v1_xboole_0(A)) )  &  (v2_membered(B) &  ~ (v1_xboole_0(B)) ) )  =>  ~ (v1_xboole_0(k12_member_1(A, B))) ) ) ).
fof(fc43_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_membered(B))  => v1_xboole_0(k13_member_1(A, B))) ) ).
fof(fc44_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_membered(B))  => v1_xboole_0(k13_member_1(B, A))) ) ).
fof(fc45_member_1, axiom,  (! [A, B] :  ( ( (v1_membered(A) &  ~ (v1_xboole_0(A)) )  &  (v1_membered(B) &  ~ (v1_xboole_0(B)) ) )  =>  ~ (v1_xboole_0(k13_member_1(A, B))) ) ) ).
fof(fc46_member_1, axiom,  (! [A, B] :  ( (v1_membered(A) & v1_membered(B))  => v1_membered(k13_member_1(A, B))) ) ).
fof(fc47_member_1, axiom,  (! [A, B] :  ( (v3_membered(A) & v3_membered(B))  => v3_membered(k13_member_1(A, B))) ) ).
fof(fc48_member_1, axiom,  (! [A, B] :  ( (v4_membered(A) & v4_membered(B))  => v4_membered(k13_member_1(A, B))) ) ).
fof(fc49_member_1, axiom,  (! [A, B] :  ( (v5_membered(A) & v5_membered(B))  => v5_membered(k13_member_1(A, B))) ) ).
fof(fc50_member_1, axiom,  (! [A, B] :  ( (v6_membered(A) & v6_membered(B))  => v6_membered(k13_member_1(A, B))) ) ).
fof(ie5_member_1, axiom,  (! [A, B, C, D] :  ( (v3_membered(A) &  (v3_membered(B) &  (v2_membered(C) & v2_membered(D)) ) )  =>  ( (A=C & B=D)  => k13_member_1(A, B)=k12_member_1(C, D)) ) ) ).
fof(fc51_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v2_membered(B))  => v1_xboole_0(k14_member_1(A, B))) ) ).
fof(fc52_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v2_membered(B))  => v1_xboole_0(k14_member_1(B, A))) ) ).
fof(fc53_member_1, axiom,  (! [A, B] :  ( ( (v2_membered(A) &  ~ (v1_xboole_0(A)) )  &  (v2_membered(B) &  ~ (v1_xboole_0(B)) ) )  =>  ~ (v1_xboole_0(k14_member_1(A, B))) ) ) ).
fof(fc54_member_1, axiom,  (! [A, B] :  ( (v2_membered(A) & v2_membered(B))  => v2_membered(k14_member_1(A, B))) ) ).
fof(fc55_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_membered(B))  => v1_xboole_0(k15_member_1(A, B))) ) ).
fof(fc56_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_membered(B))  => v1_xboole_0(k15_member_1(B, A))) ) ).
fof(fc57_member_1, axiom,  (! [A, B] :  ( ( (v1_membered(A) &  ~ (v1_xboole_0(A)) )  &  (v1_membered(B) &  ~ (v1_xboole_0(B)) ) )  =>  ~ (v1_xboole_0(k15_member_1(A, B))) ) ) ).
fof(fc58_member_1, axiom,  (! [A, B] :  ( (v1_membered(A) & v1_membered(B))  => v1_membered(k15_member_1(A, B))) ) ).
fof(fc59_member_1, axiom,  (! [A, B] :  ( (v3_membered(A) & v3_membered(B))  => v3_membered(k15_member_1(A, B))) ) ).
fof(fc60_member_1, axiom,  (! [A, B] :  ( (v4_membered(A) & v4_membered(B))  => v4_membered(k15_member_1(A, B))) ) ).
fof(ie6_member_1, axiom,  (! [A, B, C, D] :  ( (v3_membered(A) &  (v3_membered(B) &  (v2_membered(C) & v2_membered(D)) ) )  =>  ( (A=C & B=D)  => k15_member_1(A, B)=k14_member_1(C, D)) ) ) ).
fof(fc61_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_xxreal_0(B))  => v1_xboole_0(k16_member_1(A, B))) ) ).
fof(fc62_member_1, axiom,  (! [A, B] :  ( ( (v2_membered(A) &  ~ (v1_xboole_0(A)) )  & v1_xxreal_0(B))  =>  ~ (v1_xboole_0(k16_member_1(A, B))) ) ) ).
fof(fc63_member_1, axiom,  (! [A, B] :  ( (v2_membered(A) & v1_xxreal_0(B))  => v2_membered(k16_member_1(A, B))) ) ).
fof(fc64_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_xcmplx_0(B))  => v1_xboole_0(k17_member_1(A, B))) ) ).
fof(fc65_member_1, axiom,  (! [A, B] :  ( ( (v1_membered(A) &  ~ (v1_xboole_0(A)) )  & v1_xcmplx_0(B))  =>  ~ (v1_xboole_0(k17_member_1(A, B))) ) ) ).
fof(fc66_member_1, axiom,  (! [A, B] :  ( (v1_membered(A) & v1_xcmplx_0(B))  => v1_membered(k17_member_1(A, B))) ) ).
fof(fc67_member_1, axiom,  (! [A, B] :  ( (v3_membered(A) & v1_xreal_0(B))  => v3_membered(k17_member_1(A, B))) ) ).
fof(fc68_member_1, axiom,  (! [A, B] :  ( (v4_membered(A) & v1_rat_1(B))  => v4_membered(k17_member_1(A, B))) ) ).
fof(fc69_member_1, axiom,  (! [A, B] :  ( (v5_membered(A) & v1_int_1(B))  => v5_membered(k17_member_1(A, B))) ) ).
fof(fc70_member_1, axiom,  (! [A, B] :  ( (v6_membered(A) & v7_ordinal1(B))  => v6_membered(k17_member_1(A, B))) ) ).
fof(ie7_member_1, axiom,  (! [A, B, C, D] :  ( (v3_membered(A) &  (v2_membered(B) &  (v1_xreal_0(C) & v1_xxreal_0(D)) ) )  =>  ( (A=B & C=D)  => k17_member_1(A, C)=k16_member_1(B, D)) ) ) ).
fof(fc71_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_xxreal_0(B))  => v1_xboole_0(k18_member_1(A, B))) ) ).
fof(fc72_member_1, axiom,  (! [A, B] :  ( ( (v2_membered(A) &  ~ (v1_xboole_0(A)) )  & v1_xxreal_0(B))  =>  ~ (v1_xboole_0(k18_member_1(A, B))) ) ) ).
fof(fc73_member_1, axiom,  (! [A, B] :  ( (v2_membered(A) & v1_xxreal_0(B))  => v2_membered(k18_member_1(A, B))) ) ).
fof(fc74_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_xcmplx_0(B))  => v1_xboole_0(k19_member_1(A, B))) ) ).
fof(fc75_member_1, axiom,  (! [A, B] :  ( ( (v1_membered(A) &  ~ (v1_xboole_0(A)) )  & v1_xcmplx_0(B))  =>  ~ (v1_xboole_0(k19_member_1(A, B))) ) ) ).
fof(fc76_member_1, axiom,  (! [A, B] :  ( (v1_membered(A) & v1_xcmplx_0(B))  => v1_membered(k19_member_1(A, B))) ) ).
fof(fc77_member_1, axiom,  (! [A, B] :  ( (v3_membered(A) & v1_xreal_0(B))  => v3_membered(k19_member_1(A, B))) ) ).
fof(fc78_member_1, axiom,  (! [A, B] :  ( (v4_membered(A) & v1_rat_1(B))  => v4_membered(k19_member_1(A, B))) ) ).
fof(fc79_member_1, axiom,  (! [A, B] :  ( (v5_membered(A) & v1_int_1(B))  => v5_membered(k19_member_1(A, B))) ) ).
fof(ie8_member_1, axiom,  (! [A, B, C, D] :  ( (v3_membered(A) &  (v2_membered(B) &  (v1_xreal_0(C) & v1_xxreal_0(D)) ) )  =>  ( (A=B & C=D)  => k19_member_1(A, C)=k18_member_1(B, D)) ) ) ).
fof(fc80_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_xxreal_0(B))  => v1_xboole_0(k20_member_1(A, B))) ) ).
fof(fc81_member_1, axiom,  (! [A, B] :  ( ( (v2_membered(A) &  ~ (v1_xboole_0(A)) )  & v1_xxreal_0(B))  =>  ~ (v1_xboole_0(k20_member_1(A, B))) ) ) ).
fof(fc82_member_1, axiom,  (! [A, B] :  ( (v2_membered(A) & v1_xxreal_0(B))  => v2_membered(k20_member_1(A, B))) ) ).
fof(fc83_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_xcmplx_0(B))  => v1_xboole_0(k21_member_1(A, B))) ) ).
fof(fc84_member_1, axiom,  (! [A, B] :  ( ( (v1_membered(A) &  ~ (v1_xboole_0(A)) )  & v1_xcmplx_0(B))  =>  ~ (v1_xboole_0(k21_member_1(A, B))) ) ) ).
fof(fc85_member_1, axiom,  (! [A, B] :  ( (v1_membered(A) & v1_xcmplx_0(B))  => v1_membered(k21_member_1(A, B))) ) ).
fof(fc86_member_1, axiom,  (! [A, B] :  ( (v3_membered(A) & v1_xreal_0(B))  => v3_membered(k21_member_1(A, B))) ) ).
fof(fc87_member_1, axiom,  (! [A, B] :  ( (v4_membered(A) & v1_rat_1(B))  => v4_membered(k21_member_1(A, B))) ) ).
fof(fc88_member_1, axiom,  (! [A, B] :  ( (v5_membered(A) & v1_int_1(B))  => v5_membered(k21_member_1(A, B))) ) ).
fof(ie9_member_1, axiom,  (! [A, B, C, D] :  ( (v3_membered(A) &  (v2_membered(B) &  (v1_xreal_0(C) & v1_xxreal_0(D)) ) )  =>  ( (A=B & C=D)  => k21_member_1(A, C)=k20_member_1(B, D)) ) ) ).
fof(fc89_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_xxreal_0(B))  => v1_xboole_0(k22_member_1(A, B))) ) ).
fof(fc90_member_1, axiom,  (! [A, B] :  ( ( (v2_membered(A) &  ~ (v1_xboole_0(A)) )  & v1_xxreal_0(B))  =>  ~ (v1_xboole_0(k22_member_1(A, B))) ) ) ).
fof(fc91_member_1, axiom,  (! [A, B] :  ( (v2_membered(A) & v1_xxreal_0(B))  => v2_membered(k22_member_1(A, B))) ) ).
fof(fc92_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_xcmplx_0(B))  => v1_xboole_0(k23_member_1(A, B))) ) ).
fof(fc93_member_1, axiom,  (! [A, B] :  ( ( (v1_membered(A) &  ~ (v1_xboole_0(A)) )  & v1_xcmplx_0(B))  =>  ~ (v1_xboole_0(k23_member_1(A, B))) ) ) ).
fof(fc94_member_1, axiom,  (! [A, B] :  ( (v1_membered(A) & v1_xcmplx_0(B))  => v1_membered(k23_member_1(A, B))) ) ).
fof(fc95_member_1, axiom,  (! [A, B] :  ( (v3_membered(A) & v1_xreal_0(B))  => v3_membered(k23_member_1(A, B))) ) ).
fof(fc96_member_1, axiom,  (! [A, B] :  ( (v4_membered(A) & v1_rat_1(B))  => v4_membered(k23_member_1(A, B))) ) ).
fof(fc97_member_1, axiom,  (! [A, B] :  ( (v5_membered(A) & v1_int_1(B))  => v5_membered(k23_member_1(A, B))) ) ).
fof(fc98_member_1, axiom,  (! [A, B] :  ( (v6_membered(A) & v7_ordinal1(B))  => v6_membered(k23_member_1(A, B))) ) ).
fof(ie10_member_1, axiom,  (! [A, B, C, D] :  ( (v3_membered(A) &  (v2_membered(B) &  (v1_xreal_0(C) & v1_xxreal_0(D)) ) )  =>  ( (A=B & C=D)  => k23_member_1(A, C)=k22_member_1(B, D)) ) ) ).
fof(fc99_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_xxreal_0(B))  => v1_xboole_0(k24_member_1(A, B))) ) ).
fof(fc100_member_1, axiom,  (! [A, B] :  ( ( (v2_membered(A) &  ~ (v1_xboole_0(A)) )  & v1_xxreal_0(B))  =>  ~ (v1_xboole_0(k24_member_1(A, B))) ) ) ).
fof(fc101_member_1, axiom,  (! [A, B] :  ( (v2_membered(A) & v1_xxreal_0(B))  => v2_membered(k24_member_1(A, B))) ) ).
fof(fc102_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_xcmplx_0(B))  => v1_xboole_0(k25_member_1(A, B))) ) ).
fof(fc103_member_1, axiom,  (! [A, B] :  ( ( (v1_membered(A) &  ~ (v1_xboole_0(A)) )  & v1_xcmplx_0(B))  =>  ~ (v1_xboole_0(k25_member_1(A, B))) ) ) ).
fof(fc104_member_1, axiom,  (! [A, B] :  ( (v1_membered(A) & v1_xcmplx_0(B))  => v1_membered(k25_member_1(A, B))) ) ).
fof(fc105_member_1, axiom,  (! [A, B] :  ( (v3_membered(A) & v1_xreal_0(B))  => v3_membered(k25_member_1(A, B))) ) ).
fof(fc106_member_1, axiom,  (! [A, B] :  ( (v4_membered(A) & v1_rat_1(B))  => v4_membered(k25_member_1(A, B))) ) ).
fof(ie11_member_1, axiom,  (! [A, B, C, D] :  ( (v3_membered(A) &  (v2_membered(B) &  (v1_xreal_0(C) & v1_xxreal_0(D)) ) )  =>  ( (A=B & C=D)  => k25_member_1(A, C)=k24_member_1(B, D)) ) ) ).
fof(fc107_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_xxreal_0(B))  => v1_xboole_0(k26_member_1(A, B))) ) ).
fof(fc108_member_1, axiom,  (! [A, B] :  ( ( (v2_membered(A) &  ~ (v1_xboole_0(A)) )  & v1_xxreal_0(B))  =>  ~ (v1_xboole_0(k26_member_1(A, B))) ) ) ).
fof(fc109_member_1, axiom,  (! [A, B] :  ( (v2_membered(A) & v1_xxreal_0(B))  => v2_membered(k26_member_1(A, B))) ) ).
fof(fc110_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_xcmplx_0(B))  => v1_xboole_0(k27_member_1(A, B))) ) ).
fof(fc111_member_1, axiom,  (! [A, B] :  ( ( (v1_membered(A) &  ~ (v1_xboole_0(A)) )  & v1_xcmplx_0(B))  =>  ~ (v1_xboole_0(k27_member_1(A, B))) ) ) ).
fof(fc112_member_1, axiom,  (! [A, B] :  ( (v1_membered(A) & v1_xcmplx_0(B))  => v1_membered(k27_member_1(A, B))) ) ).
fof(fc113_member_1, axiom,  (! [A, B] :  ( (v3_membered(A) & v1_xreal_0(B))  => v3_membered(k27_member_1(A, B))) ) ).
fof(fc114_member_1, axiom,  (! [A, B] :  ( (v4_membered(A) & v1_rat_1(B))  => v4_membered(k27_member_1(A, B))) ) ).
fof(ie12_member_1, axiom,  (! [A, B, C, D] :  ( (v3_membered(A) &  (v2_membered(B) &  (v1_xreal_0(C) & v1_xxreal_0(D)) ) )  =>  ( (A=B & C=D)  => k27_member_1(A, C)=k26_member_1(B, D)) ) ) ).
fof(t1_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (r2_hidden(B, A) <=> r2_hidden(k2_xxreal_3(B), k4_member_1(A))) ) ) ) ) ).
fof(t2_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (r2_hidden(k2_xxreal_3(B), A) <=> r2_hidden(B, k4_member_1(A))) ) ) ) ) ).
fof(t3_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (r1_tarski(A, B) <=> r1_tarski(k4_member_1(A), k4_member_1(B))) ) ) ) ) ).
fof(t4_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (k4_member_1(A)=k4_member_1(B) => A=B) ) ) ) ) ).
fof(t5_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) => k4_member_1(k2_xboole_0(A, B))=k2_xboole_0(k4_member_1(A), k4_member_1(B))) ) ) ) ).
fof(t6_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) => k4_member_1(k3_xboole_0(A, B))=k3_xboole_0(k4_member_1(A), k4_member_1(B))) ) ) ) ).
fof(t7_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) => k4_member_1(k6_subset_1(A, B))=k6_subset_1(k4_member_1(A), k4_member_1(B))) ) ) ) ).
fof(t8_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) => k4_member_1(k5_xboole_0(A, B))=k5_xboole_0(k4_member_1(A), k4_member_1(B))) ) ) ) ).
fof(t9_member_1, axiom,  (! [A] :  (v1_xxreal_0(A) => k4_member_1(k1_tarski(A))=k1_tarski(k2_xxreal_3(A))) ) ).
fof(t10_member_1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) => k4_member_1(k2_tarski(A, B))=k2_tarski(k2_xxreal_3(A), k2_xxreal_3(B))) ) ) ) ).
fof(t11_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (r2_hidden(B, A) <=> r2_hidden(k4_xcmplx_0(B), k5_member_1(A))) ) ) ) ) ).
fof(t12_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (r2_hidden(k4_xcmplx_0(B), A) <=> r2_hidden(B, k5_member_1(A))) ) ) ) ) ).
fof(t13_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (r1_tarski(A, B) <=> r1_tarski(k5_member_1(A), k5_member_1(B))) ) ) ) ) ).
fof(t14_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (k5_member_1(A)=k5_member_1(B) => A=B) ) ) ) ) ).
fof(t15_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) => k5_member_1(k2_xboole_0(A, B))=k2_xboole_0(k5_member_1(A), k5_member_1(B))) ) ) ) ).
fof(t16_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) => k5_member_1(k3_xboole_0(A, B))=k3_xboole_0(k5_member_1(A), k5_member_1(B))) ) ) ) ).
fof(t17_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) => k5_member_1(k6_subset_1(A, B))=k6_subset_1(k5_member_1(A), k5_member_1(B))) ) ) ) ).
fof(t18_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) => k5_member_1(k5_xboole_0(A, B))=k5_xboole_0(k5_member_1(A), k5_member_1(B))) ) ) ) ).
fof(t19_member_1, axiom,  (! [A] :  (v1_xcmplx_0(A) => k5_member_1(k1_tarski(A))=k1_tarski(k4_xcmplx_0(A))) ) ).
fof(t20_member_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k5_member_1(k2_tarski(A, B))=k2_tarski(k4_xcmplx_0(A), k4_xcmplx_0(B))) ) ) ) ).
fof(t21_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (r2_hidden(B, A) => r2_hidden(k5_xxreal_3(B), k6_member_1(A))) ) ) ) ) ).
fof(t22_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (r1_tarski(A, B) => r1_tarski(k6_member_1(A), k6_member_1(B))) ) ) ) ) ).
fof(t23_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) => k6_member_1(k2_xboole_0(A, B))=k2_xboole_0(k6_member_1(A), k6_member_1(B))) ) ) ) ).
fof(t24_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) => r1_tarski(k6_member_1(k3_xboole_0(A, B)), k3_xboole_0(k6_member_1(A), k6_member_1(B)))) ) ) ) ).
fof(t25_member_1, axiom,  (! [A] :  (v2_membered(A) => k4_member_1(k6_member_1(A))=k6_member_1(k4_member_1(A))) ) ).
fof(t26_member_1, axiom,  (! [A] :  (v1_xxreal_0(A) => k6_member_1(k1_tarski(A))=k1_tarski(k5_xxreal_3(A))) ) ).
fof(t27_member_1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) => k6_member_1(k2_tarski(A, B))=k2_tarski(k5_xxreal_3(A), k5_xxreal_3(B))) ) ) ) ).
fof(t28_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (r2_hidden(B, A) <=> r2_hidden(k5_xcmplx_0(B), k7_member_1(A))) ) ) ) ) ).
fof(t29_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (r2_hidden(k5_xcmplx_0(B), A) <=> r2_hidden(B, k7_member_1(A))) ) ) ) ) ).
fof(t30_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (r1_tarski(A, B) <=> r1_tarski(k7_member_1(A), k7_member_1(B))) ) ) ) ) ).
fof(t31_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (k7_member_1(A)=k7_member_1(B) => A=B) ) ) ) ) ).
fof(t32_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) => k7_member_1(k2_xboole_0(A, B))=k2_xboole_0(k7_member_1(A), k7_member_1(B))) ) ) ) ).
fof(t33_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) => k7_member_1(k3_xboole_0(A, B))=k3_xboole_0(k7_member_1(A), k7_member_1(B))) ) ) ) ).
fof(t34_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) => k7_member_1(k6_subset_1(A, B))=k6_subset_1(k7_member_1(A), k7_member_1(B))) ) ) ) ).
fof(t35_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) => k7_member_1(k5_xboole_0(A, B))=k5_xboole_0(k7_member_1(A), k7_member_1(B))) ) ) ) ).
fof(t36_member_1, axiom,  (! [A] :  (v1_membered(A) => k5_member_1(k7_member_1(A))=k7_member_1(k5_member_1(A))) ) ).
fof(t37_member_1, axiom,  (! [A] :  (v1_xcmplx_0(A) => k7_member_1(k1_tarski(A))=k1_tarski(k5_xcmplx_0(A))) ) ).
fof(t38_member_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k7_member_1(k2_tarski(A, B))=k2_tarski(k5_xcmplx_0(A), k5_xcmplx_0(B))) ) ) ) ).
fof(t39_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v1_xxreal_0(C) =>  (! [D] :  (v1_xxreal_0(D) =>  ( (r2_hidden(C, A) & r2_hidden(D, B))  => r2_hidden(k1_xxreal_3(C, D), k8_member_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(t40_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v2_membered(C) =>  (! [D] :  (v2_membered(D) =>  ( (r1_tarski(A, B) & r1_tarski(C, D))  => r1_tarski(k8_member_1(A, C), k8_member_1(B, D))) ) ) ) ) ) ) ) ) ).
fof(t41_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v2_membered(C) => k8_member_1(A, k2_xboole_0(B, C))=k2_xboole_0(k8_member_1(A, B), k8_member_1(A, C))) ) ) ) ) ) ).
fof(t42_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v2_membered(C) => r1_tarski(k8_member_1(A, k3_xboole_0(B, C)), k3_xboole_0(k8_member_1(A, B), k8_member_1(A, C)))) ) ) ) ) ) ).
fof(t43_member_1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) => k8_member_1(k1_tarski(A), k1_tarski(B))=k1_tarski(k1_xxreal_3(A, B))) ) ) ) ).
fof(t44_member_1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  (v1_xxreal_0(C) => k8_member_1(k1_tarski(A), k2_tarski(B, C))=k2_tarski(k1_xxreal_3(A, B), k1_xxreal_3(A, C))) ) ) ) ) ) ).
fof(t45_member_1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  (v1_xxreal_0(C) =>  (! [D] :  (v1_xxreal_0(D) => k8_member_1(k2_tarski(A, B), k2_tarski(C, D))=k2_enumset1(k1_xxreal_3(A, C), k1_xxreal_3(A, D), k1_xxreal_3(B, C), k1_xxreal_3(B, D))) ) ) ) ) ) ) ) ).
fof(t46_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  ( (r2_hidden(C, A) & r2_hidden(D, B))  => r2_tarski(k2_xcmplx_0(C, D), k9_member_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(t47_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_membered(C) =>  (! [D] :  (v1_membered(D) =>  ( (r1_tarski(A, B) & r1_tarski(C, D))  => r1_tarski(k9_member_1(A, C), k9_member_1(B, D))) ) ) ) ) ) ) ) ) ).
fof(t48_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_membered(C) => k9_member_1(A, k2_xboole_0(B, C))=k2_xboole_0(k9_member_1(A, B), k9_member_1(A, C))) ) ) ) ) ) ).
fof(t49_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_membered(C) => r1_tarski(k9_member_1(A, k3_xboole_0(B, C)), k3_xboole_0(k9_member_1(A, B), k9_member_1(A, C)))) ) ) ) ) ) ).
fof(t50_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_membered(C) => k9_member_1(k9_member_1(A, B), C)=k9_member_1(A, k9_member_1(B, C))) ) ) ) ) ) ).
fof(t51_member_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k9_member_1(k1_tarski(A), k1_tarski(B))=k1_tarski(k2_xcmplx_0(A, B))) ) ) ) ).
fof(t52_member_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k9_member_1(k1_tarski(A), k2_tarski(B, C))=k2_tarski(k2_xcmplx_0(A, B), k2_xcmplx_0(A, C))) ) ) ) ) ) ).
fof(t53_member_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) => k9_member_1(k2_tarski(A, B), k2_tarski(C, D))=k2_enumset1(k2_xcmplx_0(A, C), k2_xcmplx_0(A, D), k2_xcmplx_0(B, C), k2_xcmplx_0(B, D))) ) ) ) ) ) ) ) ).
fof(d7_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) => k10_member_1(A, B)=k8_member_1(A, k4_member_1(B))) ) ) ) ).
fof(t55_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v1_xxreal_0(C) =>  (! [D] :  (v1_xxreal_0(D) =>  ( (r2_hidden(C, A) & r2_hidden(D, B))  => r2_hidden(k3_xxreal_3(C, D), k10_member_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(t56_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v2_membered(C) =>  (! [D] :  (v2_membered(D) =>  ( (r1_tarski(A, B) & r1_tarski(C, D))  => r1_tarski(k10_member_1(A, C), k10_member_1(B, D))) ) ) ) ) ) ) ) ) ).
fof(t57_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v2_membered(C) => k10_member_1(A, k2_xboole_0(B, C))=k2_xboole_0(k10_member_1(A, B), k10_member_1(A, C))) ) ) ) ) ) ).
fof(t58_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v2_membered(C) => r1_tarski(k10_member_1(A, k3_xboole_0(B, C)), k3_xboole_0(k10_member_1(A, B), k10_member_1(A, C)))) ) ) ) ) ) ).
fof(t59_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) => k4_member_1(k8_member_1(A, B))=k10_member_1(k4_member_1(A), B)) ) ) ) ).
fof(t60_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) => k4_member_1(k10_member_1(A, B))=k8_member_1(k4_member_1(A), B)) ) ) ) ).
fof(t61_member_1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) => k10_member_1(k1_tarski(A), k1_tarski(B))=k1_tarski(k3_xxreal_3(A, B))) ) ) ) ).
fof(t62_member_1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  (v1_xxreal_0(C) => k10_member_1(k1_tarski(A), k2_tarski(B, C))=k2_tarski(k3_xxreal_3(A, B), k3_xxreal_3(A, C))) ) ) ) ) ) ).
fof(t63_member_1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  (v1_xxreal_0(C) => k10_member_1(k2_tarski(A, B), k1_tarski(C))=k2_tarski(k3_xxreal_3(A, C), k3_xxreal_3(B, C))) ) ) ) ) ) ).
fof(t64_member_1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  (v1_xxreal_0(C) =>  (! [D] :  (v1_xxreal_0(D) => k10_member_1(k2_tarski(A, B), k2_tarski(C, D))=k2_enumset1(k3_xxreal_3(A, C), k3_xxreal_3(A, D), k3_xxreal_3(B, C), k3_xxreal_3(B, D))) ) ) ) ) ) ) ) ).
fof(d8_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) => k11_member_1(A, B)=k9_member_1(A, k5_member_1(B))) ) ) ) ).
fof(t66_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  ( (r2_hidden(C, A) & r2_hidden(D, B))  => r2_tarski(k6_xcmplx_0(C, D), k11_member_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(t67_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_membered(C) =>  (! [D] :  (v1_membered(D) =>  ( (r1_tarski(A, B) & r1_tarski(C, D))  => r1_tarski(k11_member_1(A, C), k11_member_1(B, D))) ) ) ) ) ) ) ) ) ).
fof(t68_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_membered(C) => k11_member_1(A, k2_xboole_0(B, C))=k2_xboole_0(k11_member_1(A, B), k11_member_1(A, C))) ) ) ) ) ) ).
fof(t69_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_membered(C) => r1_tarski(k11_member_1(A, k3_xboole_0(B, C)), k3_xboole_0(k11_member_1(A, B), k11_member_1(A, C)))) ) ) ) ) ) ).
fof(t70_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) => k5_member_1(k9_member_1(A, B))=k11_member_1(k5_member_1(A), B)) ) ) ) ).
fof(t71_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) => k5_member_1(k11_member_1(A, B))=k9_member_1(k5_member_1(A), B)) ) ) ) ).
fof(t72_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_membered(C) => k9_member_1(A, k11_member_1(B, C))=k11_member_1(k9_member_1(A, B), C)) ) ) ) ) ) ).
fof(t73_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_membered(C) => k11_member_1(A, k9_member_1(B, C))=k11_member_1(k11_member_1(A, B), C)) ) ) ) ) ) ).
fof(t74_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_membered(C) => k11_member_1(A, k11_member_1(B, C))=k9_member_1(k11_member_1(A, B), C)) ) ) ) ) ) ).
fof(t75_member_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k11_member_1(k1_tarski(A), k1_tarski(B))=k1_tarski(k6_xcmplx_0(A, B))) ) ) ) ).
fof(t76_member_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k11_member_1(k1_tarski(A), k2_tarski(B, C))=k2_tarski(k6_xcmplx_0(A, B), k6_xcmplx_0(A, C))) ) ) ) ) ) ).
fof(t77_member_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k11_member_1(k2_tarski(A, B), k1_tarski(C))=k2_tarski(k6_xcmplx_0(A, C), k6_xcmplx_0(B, C))) ) ) ) ) ) ).
fof(t78_member_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) => k11_member_1(k2_tarski(A, B), k2_tarski(C, D))=k2_enumset1(k6_xcmplx_0(A, C), k6_xcmplx_0(A, D), k6_xcmplx_0(B, C), k6_xcmplx_0(B, D))) ) ) ) ) ) ) ) ).
fof(t79_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v1_xxreal_0(C) =>  (! [D] :  (v1_xxreal_0(D) =>  ( (r2_hidden(C, A) & r2_hidden(D, B))  => r2_hidden(k4_xxreal_3(C, D), k12_member_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(t80_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v2_membered(C) => k12_member_1(k12_member_1(A, B), C)=k12_member_1(A, k12_member_1(B, C))) ) ) ) ) ) ).
fof(t81_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v2_membered(C) =>  (! [D] :  (v2_membered(D) =>  ( (r1_tarski(A, B) & r1_tarski(C, D))  => r1_tarski(k12_member_1(A, C), k12_member_1(B, D))) ) ) ) ) ) ) ) ) ).
fof(t82_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v2_membered(C) => k12_member_1(A, k2_xboole_0(B, C))=k2_xboole_0(k12_member_1(A, B), k12_member_1(A, C))) ) ) ) ) ) ).
fof(t83_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v2_membered(C) => r1_tarski(k12_member_1(A, k3_xboole_0(B, C)), k3_xboole_0(k12_member_1(A, B), k12_member_1(A, C)))) ) ) ) ) ) ).
fof(t84_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) => k12_member_1(A, k4_member_1(B))=k4_member_1(k12_member_1(A, B))) ) ) ) ).
fof(t85_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) => k6_member_1(k12_member_1(A, B))=k12_member_1(k6_member_1(A), k6_member_1(B))) ) ) ) ).
fof(t86_member_1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) => k12_member_1(k1_tarski(A), k1_tarski(B))=k1_tarski(k4_xxreal_3(A, B))) ) ) ) ).
fof(t87_member_1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  (v1_xxreal_0(C) => k12_member_1(k1_tarski(A), k2_tarski(B, C))=k2_tarski(k4_xxreal_3(A, B), k4_xxreal_3(A, C))) ) ) ) ) ) ).
fof(t88_member_1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  (v1_xxreal_0(C) =>  (! [D] :  (v1_xxreal_0(D) => k12_member_1(k2_tarski(A, B), k2_tarski(C, D))=k2_enumset1(k4_xxreal_3(A, C), k4_xxreal_3(A, D), k4_xxreal_3(B, C), k4_xxreal_3(B, D))) ) ) ) ) ) ) ) ).
fof(t89_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  ( (r2_hidden(C, A) & r2_hidden(D, B))  => r2_tarski(k3_xcmplx_0(C, D), k13_member_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(t90_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_membered(C) => k13_member_1(k13_member_1(A, B), C)=k13_member_1(A, k13_member_1(B, C))) ) ) ) ) ) ).
fof(t91_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_membered(C) =>  (! [D] :  (v1_membered(D) =>  ( (r1_tarski(A, B) & r1_tarski(C, D))  => r1_tarski(k13_member_1(A, C), k13_member_1(B, D))) ) ) ) ) ) ) ) ) ).
fof(t92_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_membered(C) => k13_member_1(A, k2_xboole_0(B, C))=k2_xboole_0(k13_member_1(A, B), k13_member_1(A, C))) ) ) ) ) ) ).
fof(t93_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_membered(C) => r1_tarski(k13_member_1(A, k3_xboole_0(B, C)), k3_xboole_0(k13_member_1(A, B), k13_member_1(A, C)))) ) ) ) ) ) ).
fof(t94_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) => k13_member_1(A, k5_member_1(B))=k5_member_1(k13_member_1(A, B))) ) ) ) ).
fof(t95_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_membered(C) => r1_tarski(k13_member_1(A, k9_member_1(B, C)), k9_member_1(k13_member_1(A, B), k13_member_1(A, C)))) ) ) ) ) ) ).
fof(t96_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_membered(C) => r1_tarski(k13_member_1(A, k11_member_1(B, C)), k11_member_1(k13_member_1(A, B), k13_member_1(A, C)))) ) ) ) ) ) ).
fof(t97_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) => k7_member_1(k13_member_1(A, B))=k13_member_1(k7_member_1(A), k7_member_1(B))) ) ) ) ).
fof(t98_member_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k13_member_1(k1_tarski(A), k1_tarski(B))=k1_tarski(k3_xcmplx_0(A, B))) ) ) ) ).
fof(t99_member_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k13_member_1(k1_tarski(A), k2_tarski(B, C))=k2_tarski(k3_xcmplx_0(A, B), k3_xcmplx_0(A, C))) ) ) ) ) ) ).
fof(t100_member_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) => k13_member_1(k2_tarski(A, B), k2_tarski(C, D))=k2_enumset1(k3_xcmplx_0(A, C), k3_xcmplx_0(A, D), k3_xcmplx_0(B, C), k3_xcmplx_0(B, D))) ) ) ) ) ) ) ) ).
fof(d11_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) => k14_member_1(A, B)=k12_member_1(A, k6_member_1(B))) ) ) ) ).
fof(t102_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v1_xxreal_0(C) =>  (! [D] :  (v1_xxreal_0(D) =>  ( (r2_hidden(C, A) & r2_hidden(D, B))  => r2_hidden(k6_xxreal_3(C, D), k14_member_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(t103_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v2_membered(C) =>  (! [D] :  (v2_membered(D) =>  ( (r1_tarski(A, B) & r1_tarski(C, D))  => r1_tarski(k14_member_1(A, C), k14_member_1(B, D))) ) ) ) ) ) ) ) ) ).
fof(t104_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v2_membered(C) => k14_member_1(k2_xboole_0(A, B), C)=k2_xboole_0(k14_member_1(A, C), k14_member_1(B, C))) ) ) ) ) ) ).
fof(t105_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v2_membered(C) => r1_tarski(k14_member_1(k3_xboole_0(A, B), C), k3_xboole_0(k14_member_1(A, C), k14_member_1(B, C)))) ) ) ) ) ) ).
fof(t106_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v2_membered(C) => k14_member_1(A, k2_xboole_0(B, C))=k2_xboole_0(k14_member_1(A, B), k14_member_1(A, C))) ) ) ) ) ) ).
fof(t107_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v2_membered(C) => r1_tarski(k14_member_1(A, k3_xboole_0(B, C)), k3_xboole_0(k14_member_1(A, B), k14_member_1(A, C)))) ) ) ) ) ) ).
fof(t108_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v2_membered(C) => k14_member_1(k12_member_1(A, B), C)=k12_member_1(A, k14_member_1(B, C))) ) ) ) ) ) ).
fof(t109_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v2_membered(C) => k12_member_1(k14_member_1(A, B), C)=k14_member_1(k12_member_1(A, C), B)) ) ) ) ) ) ).
fof(t110_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v2_membered(C) => k14_member_1(k14_member_1(A, B), C)=k14_member_1(A, k12_member_1(B, C))) ) ) ) ) ) ).
fof(t111_member_1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) => k14_member_1(k1_tarski(A), k1_tarski(B))=k1_tarski(k6_xxreal_3(A, B))) ) ) ) ).
fof(t112_member_1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  (v1_xxreal_0(C) => k14_member_1(k1_tarski(A), k2_tarski(B, C))=k2_tarski(k6_xxreal_3(A, B), k6_xxreal_3(A, C))) ) ) ) ) ) ).
fof(t113_member_1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  (v1_xxreal_0(C) => k14_member_1(k2_tarski(A, B), k1_tarski(C))=k2_tarski(k6_xxreal_3(A, C), k6_xxreal_3(B, C))) ) ) ) ) ) ).
fof(t114_member_1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  (v1_xxreal_0(C) =>  (! [D] :  (v1_xxreal_0(D) => k14_member_1(k2_tarski(A, B), k2_tarski(C, D))=k2_enumset1(k6_xxreal_3(A, C), k6_xxreal_3(A, D), k6_xxreal_3(B, C), k6_xxreal_3(B, D))) ) ) ) ) ) ) ) ).
fof(d12_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) => k15_member_1(A, B)=k13_member_1(A, k7_member_1(B))) ) ) ) ).
fof(t116_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  ( (r2_hidden(C, A) & r2_hidden(D, B))  => r2_tarski(k7_xcmplx_0(C, D), k15_member_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(t117_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_membered(C) =>  (! [D] :  (v1_membered(D) =>  ( (r1_tarski(A, B) & r1_tarski(C, D))  => r1_tarski(k15_member_1(A, C), k15_member_1(B, D))) ) ) ) ) ) ) ) ) ).
fof(t118_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_membered(C) => k15_member_1(A, k2_xboole_0(B, C))=k2_xboole_0(k15_member_1(A, B), k15_member_1(A, C))) ) ) ) ) ) ).
fof(t119_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_membered(C) => r1_tarski(k15_member_1(A, k3_xboole_0(B, C)), k3_xboole_0(k15_member_1(A, B), k15_member_1(A, C)))) ) ) ) ) ) ).
fof(t120_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) => k15_member_1(A, k5_member_1(B))=k5_member_1(k15_member_1(A, B))) ) ) ) ).
fof(t121_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) => k15_member_1(k5_member_1(A), B)=k5_member_1(k15_member_1(A, B))) ) ) ) ).
fof(t122_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_membered(C) => r1_tarski(k15_member_1(k9_member_1(A, B), C), k9_member_1(k15_member_1(A, C), k15_member_1(B, C)))) ) ) ) ) ) ).
fof(t123_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_membered(C) => r1_tarski(k15_member_1(k11_member_1(A, B), C), k11_member_1(k15_member_1(A, C), k15_member_1(B, C)))) ) ) ) ) ) ).
fof(t124_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_membered(C) => k15_member_1(k13_member_1(A, B), C)=k13_member_1(A, k15_member_1(B, C))) ) ) ) ) ) ).
fof(t125_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_membered(C) => k13_member_1(k15_member_1(A, B), C)=k15_member_1(k13_member_1(A, C), B)) ) ) ) ) ) ).
fof(t126_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_membered(C) => k15_member_1(k15_member_1(A, B), C)=k15_member_1(A, k13_member_1(B, C))) ) ) ) ) ) ).
fof(t127_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_membered(C) => k15_member_1(A, k15_member_1(B, C))=k15_member_1(k13_member_1(A, C), B)) ) ) ) ) ) ).
fof(t128_member_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k15_member_1(k1_tarski(A), k1_tarski(B))=k1_tarski(k7_xcmplx_0(A, B))) ) ) ) ).
fof(t129_member_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k15_member_1(k1_tarski(A), k2_tarski(B, C))=k2_tarski(k7_xcmplx_0(A, B), k7_xcmplx_0(A, C))) ) ) ) ) ) ).
fof(t130_member_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k15_member_1(k2_tarski(A, B), k1_tarski(C))=k2_tarski(k7_xcmplx_0(A, C), k7_xcmplx_0(B, C))) ) ) ) ) ) ).
fof(t131_member_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) => k15_member_1(k2_tarski(A, B), k2_tarski(C, D))=k2_enumset1(k7_xcmplx_0(A, C), k7_xcmplx_0(A, D), k7_xcmplx_0(B, C), k7_xcmplx_0(B, D))) ) ) ) ) ) ) ) ).
fof(d13_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v1_xxreal_0(B) => k16_member_1(A, B)=k8_member_1(k1_tarski(B), A)) ) ) ) ).
fof(t132_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  (v1_xxreal_0(C) =>  (r2_hidden(C, A) => r2_hidden(k1_xxreal_3(B, C), k16_member_1(A, B))) ) ) ) ) ) ) ).
fof(t134_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  ~ ( (r2_tarski(C, k16_member_1(A, B)) &  (! [D] :  (m1_subset_1(D, k6_numbers) =>  ~ ( (C=k1_xxreal_3(B, D) & r2_tarski(D, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t135_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v1_xreal_0(C) =>  (r1_tarski(k16_member_1(A, C), k16_member_1(B, C)) => r1_tarski(A, B)) ) ) ) ) ) ) ).
fof(t136_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v1_xreal_0(C) =>  (k16_member_1(A, C)=k16_member_1(B, C) => A=B) ) ) ) ) ) ) ).
fof(t137_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v1_xreal_0(C) => k16_member_1(k3_xboole_0(A, B), C)=k3_xboole_0(k16_member_1(A, C), k16_member_1(B, C))) ) ) ) ) ) ).
fof(t138_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v1_xxreal_0(C) => r1_tarski(k6_subset_1(k16_member_1(A, C), k16_member_1(B, C)), k16_member_1(k6_subset_1(A, B), C))) ) ) ) ) ) ).
fof(t139_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v1_xreal_0(C) => k16_member_1(k6_subset_1(A, B), C)=k6_subset_1(k16_member_1(A, C), k16_member_1(B, C))) ) ) ) ) ) ).
fof(t140_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v1_xreal_0(C) => k16_member_1(k5_xboole_0(A, B), C)=k5_xboole_0(k16_member_1(A, C), k16_member_1(B, C))) ) ) ) ) ) ).
fof(d14_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_xcmplx_0(B) => k17_member_1(A, B)=k9_member_1(k1_tarski(B), A)) ) ) ) ).
fof(t141_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (r2_hidden(C, A) => r2_tarski(k2_xcmplx_0(B, C), k17_member_1(A, B))) ) ) ) ) ) ) ).
fof(t143_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  ~ ( (r2_tarski(C, k17_member_1(A, B)) &  (! [D] :  (v1_xcmplx_0(D) =>  ~ ( (C=k2_xcmplx_0(B, D) & r2_hidden(D, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t144_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (r1_tarski(A, B) <=> r1_tarski(k17_member_1(A, C), k17_member_1(B, C))) ) ) ) ) ) ) ).
fof(t145_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (k17_member_1(A, C)=k17_member_1(B, C) => A=B) ) ) ) ) ) ) ).
fof(t146_member_1, axiom,  (! [A] :  (v1_membered(A) => k17_member_1(A, k5_numbers)=A) ) ).
fof(t147_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k17_member_1(A, k2_xcmplx_0(B, C))=k17_member_1(k17_member_1(A, C), B)) ) ) ) ) ) ).
fof(t148_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) => k17_member_1(k9_member_1(A, B), C)=k9_member_1(k17_member_1(A, C), B)) ) ) ) ) ) ).
fof(t149_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) => k17_member_1(k3_xboole_0(A, B), C)=k3_xboole_0(k17_member_1(A, C), k17_member_1(B, C))) ) ) ) ) ) ).
fof(t150_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) => k17_member_1(k6_subset_1(A, B), C)=k6_subset_1(k17_member_1(A, C), k17_member_1(B, C))) ) ) ) ) ) ).
fof(t151_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) => k17_member_1(k5_xboole_0(A, B), C)=k5_xboole_0(k17_member_1(A, C), k17_member_1(B, C))) ) ) ) ) ) ).
fof(d15_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v1_xxreal_0(B) => k18_member_1(A, B)=k10_member_1(k1_tarski(B), A)) ) ) ) ).
fof(t152_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  (v1_xxreal_0(C) =>  (r2_hidden(C, A) => r2_hidden(k3_xxreal_3(B, C), k18_member_1(A, B))) ) ) ) ) ) ) ).
fof(t154_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  ~ ( (r2_tarski(C, k18_member_1(A, B)) &  (! [D] :  (m1_subset_1(D, k6_numbers) =>  ~ ( (C=k3_xxreal_3(B, D) & r2_tarski(D, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t155_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v1_xreal_0(C) =>  (r1_tarski(k18_member_1(A, C), k18_member_1(B, C)) => r1_tarski(A, B)) ) ) ) ) ) ) ).
fof(t156_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v1_xreal_0(C) =>  (k18_member_1(A, C)=k18_member_1(B, C) => A=B) ) ) ) ) ) ) ).
fof(t157_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v1_xreal_0(C) => k18_member_1(k3_xboole_0(A, B), C)=k3_xboole_0(k18_member_1(A, C), k18_member_1(B, C))) ) ) ) ) ) ).
fof(t158_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v1_xreal_0(C) => k18_member_1(k6_subset_1(A, B), C)=k6_subset_1(k18_member_1(A, C), k18_member_1(B, C))) ) ) ) ) ) ).
fof(t159_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v1_xreal_0(C) => k18_member_1(k5_xboole_0(A, B), C)=k5_xboole_0(k18_member_1(A, C), k18_member_1(B, C))) ) ) ) ) ) ).
fof(d16_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_xcmplx_0(B) => k19_member_1(A, B)=k11_member_1(k1_tarski(B), A)) ) ) ) ).
fof(t160_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (r2_hidden(C, A) => r2_tarski(k6_xcmplx_0(B, C), k19_member_1(A, B))) ) ) ) ) ) ) ).
fof(t162_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  ~ ( (r2_tarski(C, k19_member_1(A, B)) &  (! [D] :  (v1_xcmplx_0(D) =>  ~ ( (C=k6_xcmplx_0(B, D) & r2_hidden(D, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t163_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (r1_tarski(A, B) <=> r1_tarski(k19_member_1(A, C), k19_member_1(B, C))) ) ) ) ) ) ) ).
fof(t164_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (k19_member_1(A, C)=k19_member_1(B, C) => A=B) ) ) ) ) ) ) ).
fof(t165_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) => k19_member_1(k3_xboole_0(A, B), C)=k3_xboole_0(k19_member_1(A, C), k19_member_1(B, C))) ) ) ) ) ) ).
fof(t166_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) => k19_member_1(k6_subset_1(A, B), C)=k6_subset_1(k19_member_1(A, C), k19_member_1(B, C))) ) ) ) ) ) ).
fof(t167_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) => k19_member_1(k5_xboole_0(A, B), C)=k5_xboole_0(k19_member_1(A, C), k19_member_1(B, C))) ) ) ) ) ) ).
fof(d17_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v1_xxreal_0(B) => k20_member_1(A, B)=k10_member_1(A, k1_tarski(B))) ) ) ) ).
fof(t168_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  (v1_xxreal_0(C) =>  (r2_hidden(C, A) => r2_hidden(k3_xxreal_3(C, B), k20_member_1(A, B))) ) ) ) ) ) ) ).
fof(t170_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  ~ ( (r2_tarski(C, k20_member_1(A, B)) &  (! [D] :  (m1_subset_1(D, k6_numbers) =>  ~ ( (C=k3_xxreal_3(D, B) & r2_tarski(D, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t171_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v1_xxreal_0(B) => k20_member_1(A, B)=k4_member_1(k18_member_1(A, B))) ) ) ) ).
fof(t172_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v1_xxreal_0(B) => k18_member_1(A, B)=k4_member_1(k20_member_1(A, B))) ) ) ) ).
fof(t173_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v1_xreal_0(C) => k20_member_1(k3_xboole_0(A, B), C)=k3_xboole_0(k20_member_1(A, C), k20_member_1(B, C))) ) ) ) ) ) ).
fof(t174_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v1_xreal_0(C) => k20_member_1(k6_subset_1(A, B), C)=k6_subset_1(k20_member_1(A, C), k20_member_1(B, C))) ) ) ) ) ) ).
fof(t175_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v1_xreal_0(C) => k20_member_1(k5_xboole_0(A, B), C)=k5_xboole_0(k20_member_1(A, C), k20_member_1(B, C))) ) ) ) ) ) ).
fof(d18_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_xcmplx_0(B) => k21_member_1(A, B)=k11_member_1(A, k1_tarski(B))) ) ) ) ).
fof(t176_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (r2_hidden(C, A) => r2_tarski(k6_xcmplx_0(C, B), k21_member_1(A, B))) ) ) ) ) ) ) ).
fof(t178_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  ~ ( (r2_tarski(C, k21_member_1(A, B)) &  (! [D] :  (v1_xcmplx_0(D) =>  ~ ( (C=k6_xcmplx_0(D, B) & r2_hidden(D, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t179_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (r1_tarski(A, B) <=> r1_tarski(k21_member_1(A, C), k21_member_1(B, C))) ) ) ) ) ) ) ).
fof(t180_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (k21_member_1(A, C)=k21_member_1(B, C) => A=B) ) ) ) ) ) ) ).
fof(t181_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_xcmplx_0(B) => k21_member_1(A, B)=k5_member_1(k19_member_1(A, B))) ) ) ) ).
fof(t182_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_xcmplx_0(B) => k19_member_1(A, B)=k5_member_1(k21_member_1(A, B))) ) ) ) ).
fof(t183_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) => k21_member_1(k3_xboole_0(A, B), C)=k3_xboole_0(k21_member_1(A, C), k21_member_1(B, C))) ) ) ) ) ) ).
fof(t184_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) => k21_member_1(k6_subset_1(A, B), C)=k6_subset_1(k21_member_1(A, C), k21_member_1(B, C))) ) ) ) ) ) ).
fof(t185_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) => k21_member_1(k5_xboole_0(A, B), C)=k5_xboole_0(k21_member_1(A, C), k21_member_1(B, C))) ) ) ) ) ) ).
fof(d19_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v1_xxreal_0(B) => k22_member_1(A, B)=k12_member_1(k1_tarski(B), A)) ) ) ) ).
fof(t186_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  (v1_xxreal_0(C) =>  (r2_hidden(C, A) => r2_hidden(k4_xxreal_3(B, C), k22_member_1(A, B))) ) ) ) ) ) ) ).
fof(t188_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  ~ ( (r2_tarski(C, k22_member_1(A, B)) &  (! [D] :  (m1_subset_1(D, k6_numbers) =>  ~ ( (C=k4_xxreal_3(B, D) & r2_tarski(D, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t189_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (C=k5_numbers)  => k22_member_1(k3_xboole_0(A, B), C)=k3_xboole_0(k22_member_1(A, C), k22_member_1(B, C))) ) ) ) ) ) ) ).
fof(t190_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v1_xxreal_0(C) => r1_tarski(k6_subset_1(k22_member_1(A, C), k22_member_1(B, C)), k22_member_1(k6_subset_1(A, B), C))) ) ) ) ) ) ).
fof(t191_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (C=k5_numbers)  => k22_member_1(k6_subset_1(A, B), C)=k6_subset_1(k22_member_1(A, C), k22_member_1(B, C))) ) ) ) ) ) ) ).
fof(t192_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (C=k5_numbers)  => k22_member_1(k5_xboole_0(A, B), C)=k5_xboole_0(k22_member_1(A, C), k22_member_1(B, C))) ) ) ) ) ) ) ).
fof(d20_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_xcmplx_0(B) => k23_member_1(A, B)=k13_member_1(k1_tarski(B), A)) ) ) ) ).
fof(t193_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (r2_hidden(C, A) => r2_tarski(k3_xcmplx_0(B, C), k23_member_1(A, B))) ) ) ) ) ) ) ).
fof(t195_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  ~ ( (r2_tarski(C, k23_member_1(A, B)) &  (! [D] :  (v1_xcmplx_0(D) =>  ~ ( (C=k3_xcmplx_0(B, D) & r2_hidden(D, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t196_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (r1_tarski(k23_member_1(A, C), k23_member_1(B, C)) =>  (C=k5_numbers | r1_tarski(A, B)) ) ) ) ) ) ) ) ).
fof(t197_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (k23_member_1(A, C)=k23_member_1(B, C) =>  (C=k5_numbers | A=B) ) ) ) ) ) ) ) ).
fof(t198_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  ( ~ (C=k5_numbers)  => k23_member_1(k3_xboole_0(A, B), C)=k3_xboole_0(k23_member_1(A, C), k23_member_1(B, C))) ) ) ) ) ) ) ).
fof(t199_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  ( ~ (C=k5_numbers)  => k23_member_1(k6_subset_1(A, B), C)=k6_subset_1(k23_member_1(A, C), k23_member_1(B, C))) ) ) ) ) ) ) ).
fof(t200_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  ( ~ (C=k5_numbers)  => k23_member_1(k5_xboole_0(A, B), C)=k5_xboole_0(k23_member_1(A, C), k23_member_1(B, C))) ) ) ) ) ) ) ).
fof(t201_member_1, axiom,  (! [A] :  (v1_membered(A) => r1_tarski(k23_member_1(A, k5_numbers), k1_tarski(k5_numbers))) ) ).
fof(t202_member_1, axiom,  (! [A] :  (v1_membered(A) =>  ( ~ (A=k1_xboole_0)  => k23_member_1(A, k5_numbers)=k1_tarski(k5_numbers)) ) ) ).
fof(t203_member_1, axiom,  (! [A] :  (v1_membered(A) => k23_member_1(A, 1)=A) ) ).
fof(t204_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k23_member_1(A, k3_xcmplx_0(B, C))=k23_member_1(k23_member_1(A, C), B)) ) ) ) ) ) ).
fof(t205_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) => k23_member_1(k13_member_1(A, B), C)=k13_member_1(k23_member_1(A, C), B)) ) ) ) ) ) ).
fof(t206_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => r1_tarski(k23_member_1(A, k2_xcmplx_0(B, C)), k9_member_1(k23_member_1(A, B), k23_member_1(A, C)))) ) ) ) ) ) ).
fof(t207_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => r1_tarski(k23_member_1(A, k6_xcmplx_0(B, C)), k11_member_1(k23_member_1(A, B), k23_member_1(A, C)))) ) ) ) ) ) ).
fof(t208_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) => k23_member_1(k9_member_1(A, B), C)=k9_member_1(k23_member_1(A, C), k23_member_1(B, C))) ) ) ) ) ) ).
fof(t209_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) => k23_member_1(k11_member_1(A, B), C)=k11_member_1(k23_member_1(A, C), k23_member_1(B, C))) ) ) ) ) ) ).
fof(d21_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v1_xxreal_0(B) => k24_member_1(A, B)=k14_member_1(k1_tarski(B), A)) ) ) ) ).
fof(t210_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  (v1_xxreal_0(C) =>  (r2_hidden(C, A) => r2_hidden(k6_xxreal_3(B, C), k24_member_1(A, B))) ) ) ) ) ) ) ).
fof(t212_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  ~ ( (r2_tarski(C, k24_member_1(A, B)) &  (! [D] :  (m1_subset_1(D, k6_numbers) =>  ~ ( (C=k6_xxreal_3(B, D) & r2_tarski(D, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(d22_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_xcmplx_0(B) => k25_member_1(A, B)=k15_member_1(k1_tarski(B), A)) ) ) ) ).
fof(t213_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (r2_hidden(C, A) => r2_tarski(k7_xcmplx_0(B, C), k25_member_1(A, B))) ) ) ) ) ) ) ).
fof(t215_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  ~ ( (r2_tarski(C, k25_member_1(A, B)) &  (! [D] :  (v1_xcmplx_0(D) =>  ~ ( (C=k7_xcmplx_0(B, D) & r2_hidden(D, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t216_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (r1_tarski(k25_member_1(A, C), k25_member_1(B, C)) =>  (C=k5_numbers | r1_tarski(A, B)) ) ) ) ) ) ) ) ).
fof(t217_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (k25_member_1(A, C)=k25_member_1(B, C) =>  (C=k5_numbers | A=B) ) ) ) ) ) ) ) ).
fof(t218_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  ( ~ (C=k5_numbers)  => k25_member_1(k3_xboole_0(A, B), C)=k3_xboole_0(k25_member_1(A, C), k25_member_1(B, C))) ) ) ) ) ) ) ).
fof(t219_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  ( ~ (C=k5_numbers)  => k25_member_1(k6_subset_1(A, B), C)=k6_subset_1(k25_member_1(A, C), k25_member_1(B, C))) ) ) ) ) ) ) ).
fof(t220_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  ( ~ (C=k5_numbers)  => k25_member_1(k5_xboole_0(A, B), C)=k5_xboole_0(k25_member_1(A, C), k25_member_1(B, C))) ) ) ) ) ) ) ).
fof(t221_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => r1_tarski(k25_member_1(A, k2_xcmplx_0(B, C)), k9_member_1(k25_member_1(A, B), k25_member_1(A, C)))) ) ) ) ) ) ).
fof(t222_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => r1_tarski(k25_member_1(A, k6_xcmplx_0(B, C)), k11_member_1(k25_member_1(A, B), k25_member_1(A, C)))) ) ) ) ) ) ).
fof(d23_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v1_xxreal_0(B) => k26_member_1(A, B)=k14_member_1(A, k1_tarski(B))) ) ) ) ).
fof(t223_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  (v1_xxreal_0(C) =>  (r2_hidden(C, A) => r2_hidden(k6_xxreal_3(C, B), k26_member_1(A, B))) ) ) ) ) ) ) ).
fof(t225_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  ~ ( (r2_tarski(C, k26_member_1(A, B)) &  (! [D] :  (m1_subset_1(D, k6_numbers) =>  ~ ( (C=k6_xxreal_3(D, B) & r2_tarski(D, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(d24_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_xcmplx_0(B) => k27_member_1(A, B)=k15_member_1(A, k1_tarski(B))) ) ) ) ).
fof(t226_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (r2_hidden(C, A) => r2_tarski(k7_xcmplx_0(C, B), k27_member_1(A, B))) ) ) ) ) ) ) ).
fof(t228_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  ~ ( (r2_tarski(C, k27_member_1(A, B)) &  (! [D] :  (v1_xcmplx_0(D) =>  ~ ( (C=k7_xcmplx_0(D, B) & r2_hidden(D, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t229_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (r1_tarski(k27_member_1(A, C), k27_member_1(B, C)) =>  (C=k5_numbers | r1_tarski(A, B)) ) ) ) ) ) ) ) ).
fof(t230_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (k27_member_1(A, C)=k27_member_1(B, C) =>  (C=k5_numbers | A=B) ) ) ) ) ) ) ) ).
fof(t231_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  ( ~ (C=k5_numbers)  => k27_member_1(k3_xboole_0(A, B), C)=k3_xboole_0(k27_member_1(A, C), k27_member_1(B, C))) ) ) ) ) ) ) ).
fof(t232_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  ( ~ (C=k5_numbers)  => k27_member_1(k6_subset_1(A, B), C)=k6_subset_1(k27_member_1(A, C), k27_member_1(B, C))) ) ) ) ) ) ) ).
fof(t233_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  ( ~ (C=k5_numbers)  => k27_member_1(k5_xboole_0(A, B), C)=k5_xboole_0(k27_member_1(A, C), k27_member_1(B, C))) ) ) ) ) ) ) ).
fof(t234_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) => k27_member_1(k9_member_1(A, B), C)=k9_member_1(k27_member_1(A, C), k27_member_1(B, C))) ) ) ) ) ) ).
fof(t235_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) => k27_member_1(k11_member_1(A, B), C)=k11_member_1(k27_member_1(A, C), k27_member_1(B, C))) ) ) ) ) ) ).
fof(dt_k1_member_1, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) => m1_subset_1(k1_member_1(A), k6_numbers)) ) ).
fof(involutiveness_k1_member_1, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) => k1_member_1(k1_member_1(A))=A) ) ).
fof(redefinition_k1_member_1, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) => k1_member_1(A)=k2_xxreal_3(A)) ) ).
fof(dt_k2_member_1, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) => m1_subset_1(k2_member_1(A), k6_numbers)) ) ).
fof(redefinition_k2_member_1, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) => k2_member_1(A)=k5_xxreal_3(A)) ) ).
fof(dt_k3_member_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k6_numbers) & m1_subset_1(B, k6_numbers))  => m1_subset_1(k3_member_1(A, B), k6_numbers)) ) ).
fof(commutativity_k3_member_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k6_numbers) & m1_subset_1(B, k6_numbers))  => k3_member_1(A, B)=k3_member_1(B, A)) ) ).
fof(redefinition_k3_member_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k6_numbers) & m1_subset_1(B, k6_numbers))  => k3_member_1(A, B)=k4_xxreal_3(A, B)) ) ).
fof(dt_k4_member_1, axiom,  (! [A] :  (v2_membered(A) => v2_membered(k4_member_1(A))) ) ).
fof(involutiveness_k4_member_1, axiom,  (! [A] :  (v2_membered(A) => k4_member_1(k4_member_1(A))=A) ) ).
fof(dt_k5_member_1, axiom,  (! [A] :  (v1_membered(A) => v1_membered(k5_member_1(A))) ) ).
fof(involutiveness_k5_member_1, axiom,  (! [A] :  (v1_membered(A) => k5_member_1(k5_member_1(A))=A) ) ).
fof(dt_k6_member_1, axiom,  (! [A] :  (v2_membered(A) => v2_membered(k6_member_1(A))) ) ).
fof(dt_k7_member_1, axiom,  (! [A] :  (v1_membered(A) => v1_membered(k7_member_1(A))) ) ).
fof(involutiveness_k7_member_1, axiom,  (! [A] :  (v1_membered(A) => k7_member_1(k7_member_1(A))=A) ) ).
fof(commutativity_k8_member_1, axiom,  (! [A, B] :  ( (v2_membered(A) & v2_membered(B))  => k8_member_1(A, B)=k8_member_1(B, A)) ) ).
fof(commutativity_k9_member_1, axiom,  (! [A, B] :  ( (v1_membered(A) & v1_membered(B))  => k9_member_1(A, B)=k9_member_1(B, A)) ) ).
fof(commutativity_k12_member_1, axiom,  (! [A, B] :  ( (v2_membered(A) & v2_membered(B))  => k12_member_1(A, B)=k12_member_1(B, A)) ) ).
fof(commutativity_k13_member_1, axiom,  (! [A, B] :  ( (v1_membered(A) & v1_membered(B))  => k13_member_1(A, B)=k13_member_1(B, A)) ) ).
fof(d1_member_1, axiom,  (! [A] :  (v2_membered(A) => k4_member_1(A)=a_1_0_member_1(A)) ) ).
fof(d2_member_1, axiom,  (! [A] :  (v1_membered(A) => k5_member_1(A)=a_1_1_member_1(A)) ) ).
fof(d3_member_1, axiom,  (! [A] :  (v2_membered(A) => k6_member_1(A)=a_1_2_member_1(A)) ) ).
fof(d4_member_1, axiom,  (! [A] :  (v1_membered(A) => k7_member_1(A)=a_1_3_member_1(A)) ) ).
fof(d5_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) => k8_member_1(A, B)=a_2_0_member_1(A, B)) ) ) ) ).
fof(d6_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) => k9_member_1(A, B)=a_2_1_member_1(A, B)) ) ) ) ).
fof(t54_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) => k10_member_1(A, B)=a_2_2_member_1(A, B)) ) ) ) ).
fof(t65_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) => k11_member_1(A, B)=a_2_3_member_1(A, B)) ) ) ) ).
fof(d9_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) => k12_member_1(A, B)=a_2_4_member_1(A, B)) ) ) ) ).
fof(d10_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) => k13_member_1(A, B)=a_2_5_member_1(A, B)) ) ) ) ).
fof(t101_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) => k14_member_1(A, B)=a_2_6_member_1(A, B)) ) ) ) ).
fof(t115_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) => k15_member_1(A, B)=a_2_7_member_1(A, B)) ) ) ) ).
fof(t133_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v1_xxreal_0(B) => k16_member_1(A, B)=a_2_8_member_1(A, B)) ) ) ) ).
fof(t142_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_xcmplx_0(B) => k17_member_1(A, B)=a_2_9_member_1(A, B)) ) ) ) ).
fof(t153_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v1_xxreal_0(B) => k18_member_1(A, B)=a_2_10_member_1(A, B)) ) ) ) ).
fof(t161_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_xcmplx_0(B) => k19_member_1(A, B)=a_2_11_member_1(A, B)) ) ) ) ).
fof(t169_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v1_xxreal_0(B) => k20_member_1(A, B)=a_2_12_member_1(A, B)) ) ) ) ).
fof(t177_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_xcmplx_0(B) => k21_member_1(A, B)=a_2_13_member_1(A, B)) ) ) ) ).
fof(t187_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v1_xxreal_0(B) => k22_member_1(A, B)=a_2_14_member_1(A, B)) ) ) ) ).
fof(t194_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_xcmplx_0(B) => k23_member_1(A, B)=a_2_15_member_1(A, B)) ) ) ) ).
fof(t211_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v1_xxreal_0(B) => k24_member_1(A, B)=a_2_16_member_1(A, B)) ) ) ) ).
fof(t214_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_xcmplx_0(B) => k25_member_1(A, B)=a_2_17_member_1(A, B)) ) ) ) ).
fof(t224_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v1_xxreal_0(B) => k26_member_1(A, B)=a_2_18_member_1(A, B)) ) ) ) ).
fof(t227_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_xcmplx_0(B) => k27_member_1(A, B)=a_2_19_member_1(A, B)) ) ) ) ).
fof(fraenkel_a_1_0_member_1, axiom,  (! [A, B] :  (v2_membered(B) =>  (r2_hidden(A, a_1_0_member_1(B)) <=>  (? [C] :  (m1_subset_1(C, k6_numbers) &  (A=k1_member_1(C) & r2_tarski(C, B)) ) ) ) ) ) ).
fof(fraenkel_a_1_1_member_1, axiom,  (! [A, B] :  (v1_membered(B) =>  (r2_hidden(A, a_1_1_member_1(B)) <=>  (? [C] :  (v1_xcmplx_0(C) &  (A=k4_xcmplx_0(C) & r2_hidden(C, B)) ) ) ) ) ) ).
fof(fraenkel_a_1_2_member_1, axiom,  (! [A, B] :  (v2_membered(B) =>  (r2_hidden(A, a_1_2_member_1(B)) <=>  (? [C] :  (m1_subset_1(C, k6_numbers) &  (A=k2_member_1(C) & r2_tarski(C, B)) ) ) ) ) ) ).
fof(fraenkel_a_1_3_member_1, axiom,  (! [A, B] :  (v1_membered(B) =>  (r2_hidden(A, a_1_3_member_1(B)) <=>  (? [C] :  (v1_xcmplx_0(C) &  (A=k5_xcmplx_0(C) & r2_hidden(C, B)) ) ) ) ) ) ).
fof(fraenkel_a_2_0_member_1, axiom,  (! [A, B, C] :  ( (v2_membered(B) & v2_membered(C))  =>  (r2_hidden(A, a_2_0_member_1(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, k6_numbers) & m1_subset_1(E, k6_numbers))  &  (A=k1_xxreal_3(D, E) &  (r2_tarski(D, B) & r2_tarski(E, C)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_member_1, axiom,  (! [A, B, C] :  ( (v1_membered(B) & v1_membered(C))  =>  (r2_hidden(A, a_2_1_member_1(B, C)) <=>  (? [D, E] :  ( (v1_xcmplx_0(D) & v1_xcmplx_0(E))  &  (A=k2_xcmplx_0(D, E) &  (r2_hidden(D, B) & r2_hidden(E, C)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_2_member_1, axiom,  (! [A, B, C] :  ( (v2_membered(B) & v2_membered(C))  =>  (r2_hidden(A, a_2_2_member_1(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, k6_numbers) & m1_subset_1(E, k6_numbers))  &  (A=k3_xxreal_3(D, E) &  (r2_tarski(D, B) & r2_tarski(E, C)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_3_member_1, axiom,  (! [A, B, C] :  ( (v1_membered(B) & v1_membered(C))  =>  (r2_hidden(A, a_2_3_member_1(B, C)) <=>  (? [D, E] :  ( (v1_xcmplx_0(D) & v1_xcmplx_0(E))  &  (A=k6_xcmplx_0(D, E) &  (r2_hidden(D, B) & r2_hidden(E, C)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_4_member_1, axiom,  (! [A, B, C] :  ( (v2_membered(B) & v2_membered(C))  =>  (r2_hidden(A, a_2_4_member_1(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, k6_numbers) & m1_subset_1(E, k6_numbers))  &  (A=k3_member_1(D, E) &  (r2_tarski(D, B) & r2_tarski(E, C)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_5_member_1, axiom,  (! [A, B, C] :  ( (v1_membered(B) & v1_membered(C))  =>  (r2_hidden(A, a_2_5_member_1(B, C)) <=>  (? [D, E] :  ( (v1_xcmplx_0(D) & v1_xcmplx_0(E))  &  (A=k3_xcmplx_0(D, E) &  (r2_hidden(D, B) & r2_hidden(E, C)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_6_member_1, axiom,  (! [A, B, C] :  ( (v2_membered(B) & v2_membered(C))  =>  (r2_hidden(A, a_2_6_member_1(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, k6_numbers) & m1_subset_1(E, k6_numbers))  &  (A=k6_xxreal_3(D, E) &  (r2_tarski(D, B) & r2_tarski(E, C)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_7_member_1, axiom,  (! [A, B, C] :  ( (v1_membered(B) & v1_membered(C))  =>  (r2_hidden(A, a_2_7_member_1(B, C)) <=>  (? [D, E] :  ( (v1_xcmplx_0(D) & v1_xcmplx_0(E))  &  (A=k7_xcmplx_0(D, E) &  (r2_hidden(D, B) & r2_hidden(E, C)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_8_member_1, axiom,  (! [A, B, C] :  ( (v2_membered(B) & v1_xxreal_0(C))  =>  (r2_hidden(A, a_2_8_member_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, k6_numbers) &  (A=k1_xxreal_3(C, D) & r2_tarski(D, B)) ) ) ) ) ) ).
fof(fraenkel_a_2_9_member_1, axiom,  (! [A, B, C] :  ( (v1_membered(B) & v1_xcmplx_0(C))  =>  (r2_hidden(A, a_2_9_member_1(B, C)) <=>  (? [D] :  (v1_xcmplx_0(D) &  (A=k2_xcmplx_0(C, D) & r2_hidden(D, B)) ) ) ) ) ) ).
fof(fraenkel_a_2_10_member_1, axiom,  (! [A, B, C] :  ( (v2_membered(B) & v1_xxreal_0(C))  =>  (r2_hidden(A, a_2_10_member_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, k6_numbers) &  (A=k3_xxreal_3(C, D) & r2_tarski(D, B)) ) ) ) ) ) ).
fof(fraenkel_a_2_11_member_1, axiom,  (! [A, B, C] :  ( (v1_membered(B) & v1_xcmplx_0(C))  =>  (r2_hidden(A, a_2_11_member_1(B, C)) <=>  (? [D] :  (v1_xcmplx_0(D) &  (A=k6_xcmplx_0(C, D) & r2_hidden(D, B)) ) ) ) ) ) ).
fof(fraenkel_a_2_12_member_1, axiom,  (! [A, B, C] :  ( (v2_membered(B) & v1_xxreal_0(C))  =>  (r2_hidden(A, a_2_12_member_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, k6_numbers) &  (A=k3_xxreal_3(D, C) & r2_tarski(D, B)) ) ) ) ) ) ).
fof(fraenkel_a_2_13_member_1, axiom,  (! [A, B, C] :  ( (v1_membered(B) & v1_xcmplx_0(C))  =>  (r2_hidden(A, a_2_13_member_1(B, C)) <=>  (? [D] :  (v1_xcmplx_0(D) &  (A=k6_xcmplx_0(D, C) & r2_hidden(D, B)) ) ) ) ) ) ).
fof(fraenkel_a_2_14_member_1, axiom,  (! [A, B, C] :  ( (v2_membered(B) & v1_xxreal_0(C))  =>  (r2_hidden(A, a_2_14_member_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, k6_numbers) &  (A=k4_xxreal_3(C, D) & r2_tarski(D, B)) ) ) ) ) ) ).
fof(fraenkel_a_2_15_member_1, axiom,  (! [A, B, C] :  ( (v1_membered(B) & v1_xcmplx_0(C))  =>  (r2_hidden(A, a_2_15_member_1(B, C)) <=>  (? [D] :  (v1_xcmplx_0(D) &  (A=k3_xcmplx_0(C, D) & r2_hidden(D, B)) ) ) ) ) ) ).
fof(fraenkel_a_2_16_member_1, axiom,  (! [A, B, C] :  ( (v2_membered(B) & v1_xxreal_0(C))  =>  (r2_hidden(A, a_2_16_member_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, k6_numbers) &  (A=k6_xxreal_3(C, D) & r2_tarski(D, B)) ) ) ) ) ) ).
fof(fraenkel_a_2_17_member_1, axiom,  (! [A, B, C] :  ( (v1_membered(B) & v1_xcmplx_0(C))  =>  (r2_hidden(A, a_2_17_member_1(B, C)) <=>  (? [D] :  (v1_xcmplx_0(D) &  (A=k7_xcmplx_0(C, D) & r2_hidden(D, B)) ) ) ) ) ) ).
fof(fraenkel_a_2_18_member_1, axiom,  (! [A, B, C] :  ( (v2_membered(B) & v1_xxreal_0(C))  =>  (r2_hidden(A, a_2_18_member_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, k6_numbers) &  (A=k6_xxreal_3(D, C) & r2_tarski(D, B)) ) ) ) ) ) ).
fof(fraenkel_a_2_19_member_1, axiom,  (! [A, B, C] :  ( (v1_membered(B) & v1_xcmplx_0(C))  =>  (r2_hidden(A, a_2_19_member_1(B, C)) <=>  (? [D] :  (v1_xcmplx_0(D) &  (A=k7_xcmplx_0(D, C) & r2_hidden(D, B)) ) ) ) ) ) ).
fof(cc1_membered, axiom,  (! [A] :  (v6_membered(A) => v5_membered(A)) ) ).
fof(cc2_membered, axiom,  (! [A] :  (v5_membered(A) => v4_membered(A)) ) ).
fof(cc3_membered, axiom,  (! [A] :  (v4_membered(A) => v3_membered(A)) ) ).
fof(cc4_membered, axiom,  (! [A] :  (v3_membered(A) => v2_membered(A)) ) ).
fof(cc5_membered, axiom,  (! [A] :  (v3_membered(A) => v1_membered(A)) ) ).
fof(rc1_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v6_membered(A)) ) ).
fof(fc1_membered, axiom, v1_membered(k2_numbers)).
fof(fc2_membered, axiom, v2_membered(k6_numbers)).
fof(fc3_membered, axiom, v3_membered(k1_numbers)).
fof(fc4_membered, axiom, v4_membered(k3_numbers)).
fof(fc5_membered, axiom, v5_membered(k4_numbers)).
fof(fc6_membered, axiom, v6_membered(k4_ordinal1)).
fof(cc6_membered, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xcmplx_0(B)) ) ) ) ).
fof(cc7_membered, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xxreal_0(B)) ) ) ) ).
fof(cc8_membered, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xreal_0(B)) ) ) ) ).
fof(cc9_membered, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_rat_1(B)) ) ) ) ).
fof(cc10_membered, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_int_1(B)) ) ) ) ).
fof(cc11_membered, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v7_ordinal1(B)) ) ) ) ).
fof(cc12_membered, axiom,  (! [A] :  (v1_xboole_0(A) => v6_membered(A)) ) ).
fof(fc7_membered, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_membered(k1_tarski(A))) ) ).
fof(fc8_membered, axiom,  (! [A] :  (v1_xxreal_0(A) => v2_membered(k1_tarski(A))) ) ).
fof(fc9_membered, axiom,  (! [A] :  (v1_xreal_0(A) => v3_membered(k1_tarski(A))) ) ).
fof(fc10_membered, axiom,  (! [A] :  (v1_rat_1(A) => v4_membered(k1_tarski(A))) ) ).
fof(fc11_membered, axiom,  (! [A] :  (v1_int_1(A) => v5_membered(k1_tarski(A))) ) ).
fof(fc12_membered, axiom,  (! [A] :  (v7_ordinal1(A) => v6_membered(k1_tarski(A))) ) ).
fof(fc13_membered, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => v1_membered(k2_tarski(A, B))) ) ).
fof(fc14_membered, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => v2_membered(k2_tarski(A, B))) ) ).
fof(fc15_membered, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v3_membered(k2_tarski(A, B))) ) ).
fof(fc16_membered, axiom,  (! [A, B] :  ( (v1_rat_1(A) & v1_rat_1(B))  => v4_membered(k2_tarski(A, B))) ) ).
fof(fc17_membered, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v5_membered(k2_tarski(A, B))) ) ).
fof(fc18_membered, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v6_membered(k2_tarski(A, B))) ) ).
fof(fc19_membered, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => v1_membered(k1_enumset1(A, B, C))) ) ).
fof(fc20_membered, axiom,  (! [A, B, C] :  ( (v1_xxreal_0(A) &  (v1_xxreal_0(B) & v1_xxreal_0(C)) )  => v2_membered(k1_enumset1(A, B, C))) ) ).
fof(fc21_membered, axiom,  (! [A, B, C] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) & v1_xreal_0(C)) )  => v3_membered(k1_enumset1(A, B, C))) ) ).
fof(fc22_membered, axiom,  (! [A, B, C] :  ( (v1_rat_1(A) &  (v1_rat_1(B) & v1_rat_1(C)) )  => v4_membered(k1_enumset1(A, B, C))) ) ).
fof(fc23_membered, axiom,  (! [A, B, C] :  ( (v1_int_1(A) &  (v1_int_1(B) & v1_int_1(C)) )  => v5_membered(k1_enumset1(A, B, C))) ) ).
fof(fc24_membered, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) & v7_ordinal1(C)) )  => v6_membered(k1_enumset1(A, B, C))) ) ).
fof(cc13_membered, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_membered(B)) ) ) ) ).
fof(cc14_membered, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v2_membered(B)) ) ) ) ).
fof(cc15_membered, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v3_membered(B)) ) ) ) ).
fof(cc16_membered, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_membered(B)) ) ) ) ).
fof(cc17_membered, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v5_membered(B)) ) ) ) ).
fof(cc18_membered, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_membered(B)) ) ) ) ).
fof(fc25_membered, axiom,  (! [A, B] :  ( (v1_membered(A) & v1_membered(B))  => v1_membered(k2_xboole_0(A, B))) ) ).
fof(fc26_membered, axiom,  (! [A, B] :  ( (v2_membered(A) & v2_membered(B))  => v2_membered(k2_xboole_0(A, B))) ) ).
fof(fc27_membered, axiom,  (! [A, B] :  ( (v3_membered(A) & v3_membered(B))  => v3_membered(k2_xboole_0(A, B))) ) ).
fof(fc28_membered, axiom,  (! [A, B] :  ( (v4_membered(A) & v4_membered(B))  => v4_membered(k2_xboole_0(A, B))) ) ).
fof(fc29_membered, axiom,  (! [A, B] :  ( (v5_membered(A) & v5_membered(B))  => v5_membered(k2_xboole_0(A, B))) ) ).
fof(fc30_membered, axiom,  (! [A, B] :  ( (v6_membered(A) & v6_membered(B))  => v6_membered(k2_xboole_0(A, B))) ) ).
fof(fc31_membered, axiom,  (! [A, B] :  (v1_membered(A) => v1_membered(k3_xboole_0(A, B))) ) ).
fof(fc32_membered, axiom,  (! [A, B] :  (v1_membered(A) => v1_membered(k3_xboole_0(B, A))) ) ).
fof(fc33_membered, axiom,  (! [A, B] :  (v2_membered(A) => v2_membered(k3_xboole_0(A, B))) ) ).
fof(fc34_membered, axiom,  (! [A, B] :  (v2_membered(A) => v2_membered(k3_xboole_0(B, A))) ) ).
fof(fc35_membered, axiom,  (! [A, B] :  (v3_membered(A) => v3_membered(k3_xboole_0(A, B))) ) ).
fof(fc36_membered, axiom,  (! [A, B] :  (v3_membered(A) => v3_membered(k3_xboole_0(B, A))) ) ).
fof(fc37_membered, axiom,  (! [A, B] :  (v4_membered(A) => v4_membered(k3_xboole_0(A, B))) ) ).
fof(fc38_membered, axiom,  (! [A, B] :  (v4_membered(A) => v4_membered(k3_xboole_0(B, A))) ) ).
fof(fc39_membered, axiom,  (! [A, B] :  (v5_membered(A) => v5_membered(k3_xboole_0(A, B))) ) ).
fof(fc40_membered, axiom,  (! [A, B] :  (v5_membered(A) => v5_membered(k3_xboole_0(B, A))) ) ).
fof(fc41_membered, axiom,  (! [A, B] :  (v6_membered(A) => v6_membered(k3_xboole_0(A, B))) ) ).
fof(fc42_membered, axiom,  (! [A, B] :  (v6_membered(A) => v6_membered(k3_xboole_0(B, A))) ) ).
fof(fc43_membered, axiom,  (! [A, B] :  (v1_membered(A) => v1_membered(k4_xboole_0(A, B))) ) ).
fof(fc44_membered, axiom,  (! [A, B] :  (v2_membered(A) => v2_membered(k4_xboole_0(A, B))) ) ).
fof(fc45_membered, axiom,  (! [A, B] :  (v3_membered(A) => v3_membered(k4_xboole_0(A, B))) ) ).
fof(fc46_membered, axiom,  (! [A, B] :  (v4_membered(A) => v4_membered(k4_xboole_0(A, B))) ) ).
fof(fc47_membered, axiom,  (! [A, B] :  (v5_membered(A) => v5_membered(k4_xboole_0(A, B))) ) ).
fof(fc48_membered, axiom,  (! [A, B] :  (v6_membered(A) => v6_membered(k4_xboole_0(A, B))) ) ).
fof(fc49_membered, axiom,  (! [A, B] :  ( (v1_membered(A) & v1_membered(B))  => v1_membered(k5_xboole_0(A, B))) ) ).
fof(fc50_membered, axiom,  (! [A, B] :  ( (v2_membered(A) & v2_membered(B))  => v2_membered(k5_xboole_0(A, B))) ) ).
fof(fc51_membered, axiom,  (! [A, B] :  ( (v3_membered(A) & v3_membered(B))  => v3_membered(k5_xboole_0(A, B))) ) ).
fof(fc52_membered, axiom,  (! [A, B] :  ( (v4_membered(A) & v4_membered(B))  => v4_membered(k5_xboole_0(A, B))) ) ).
fof(fc53_membered, axiom,  (! [A, B] :  ( (v5_membered(A) & v5_membered(B))  => v5_membered(k5_xboole_0(A, B))) ) ).
fof(fc54_membered, axiom,  (! [A, B] :  ( (v6_membered(A) & v6_membered(B))  => v6_membered(k5_xboole_0(A, B))) ) ).
fof(rc2_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v6_membered(A)) ) ).
fof(cc19_membered, axiom,  (! [A] :  (v1_xboole_0(A) => v7_membered(A)) ) ).
fof(fc55_membered, axiom, v7_membered(k2_numbers)).
fof(fc56_membered, axiom, v7_membered(k1_numbers)).
fof(fc57_membered, axiom, v7_membered(k3_numbers)).
fof(fc58_membered, axiom, v7_membered(k4_numbers)).
fof(fc59_membered, axiom, v7_membered(k4_ordinal1)).
fof(rc3_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v6_membered(A) & v7_membered(A)) ) ) ).
fof(d1_membered, axiom,  (! [A] :  (v1_membered(A) <=>  (! [B] :  (r2_hidden(B, A) => v1_xcmplx_0(B)) ) ) ) ).
fof(d2_membered, axiom,  (! [A] :  (v2_membered(A) <=>  (! [B] :  (r2_hidden(B, A) => v1_xxreal_0(B)) ) ) ) ).
fof(d3_membered, axiom,  (! [A] :  (v3_membered(A) <=>  (! [B] :  (r2_hidden(B, A) => v1_xreal_0(B)) ) ) ) ).
fof(d4_membered, axiom,  (! [A] :  (v4_membered(A) <=>  (! [B] :  (r2_hidden(B, A) => v1_rat_1(B)) ) ) ) ).
fof(d5_membered, axiom,  (! [A] :  (v5_membered(A) <=>  (! [B] :  (r2_hidden(B, A) => v1_int_1(B)) ) ) ) ).
fof(d6_membered, axiom,  (! [A] :  (v6_membered(A) <=>  (! [B] :  (r2_hidden(B, A) => v7_ordinal1(B)) ) ) ) ).
fof(t1_membered, axiom,  (! [A] :  (v1_membered(A) => r1_tarski(A, k2_numbers)) ) ).
fof(t2_membered, axiom,  (! [A] :  (v2_membered(A) => r1_tarski(A, k6_numbers)) ) ).
fof(t3_membered, axiom,  (! [A] :  (v3_membered(A) => r1_tarski(A, k1_numbers)) ) ).
fof(t4_membered, axiom,  (! [A] :  (v4_membered(A) => r1_tarski(A, k3_numbers)) ) ).
fof(t5_membered, axiom,  (! [A] :  (v5_membered(A) => r1_tarski(A, k4_numbers)) ) ).
fof(t6_membered, axiom,  (! [A] :  (v6_membered(A) => r1_tarski(A, k4_ordinal1)) ) ).
fof(t7_membered, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_membered(A))  =>  (? [B] :  (v1_xcmplx_0(B) & r2_hidden(B, A)) ) ) ) ).
fof(t8_membered, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v2_membered(A))  =>  (? [B] :  (v1_xxreal_0(B) & r2_hidden(B, A)) ) ) ) ).
fof(t9_membered, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v3_membered(A))  =>  (? [B] :  (v1_xreal_0(B) & r2_hidden(B, A)) ) ) ) ).
fof(t10_membered, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_membered(A))  =>  (? [B] :  (v1_rat_1(B) & r2_hidden(B, A)) ) ) ) ).
fof(t11_membered, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v5_membered(A))  =>  (? [B] :  (v1_int_1(B) & r2_hidden(B, A)) ) ) ) ).
fof(t12_membered, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v6_membered(A))  =>  (? [B] :  (v7_ordinal1(B) & r2_tarski(B, A)) ) ) ) ).
fof(t13_membered, axiom,  (! [A] :  (v1_membered(A) =>  ( (! [B] :  (v1_xcmplx_0(B) => r2_hidden(B, A)) )  => A=k2_numbers) ) ) ).
fof(t14_membered, axiom,  (! [A] :  (v2_membered(A) =>  ( (! [B] :  (v1_xxreal_0(B) => r2_hidden(B, A)) )  => A=k6_numbers) ) ) ).
fof(t15_membered, axiom,  (! [A] :  (v3_membered(A) =>  ( (! [B] :  (v1_xreal_0(B) => r2_hidden(B, A)) )  => A=k1_numbers) ) ) ).
fof(t16_membered, axiom,  (! [A] :  (v4_membered(A) =>  ( (! [B] :  (v1_rat_1(B) => r2_hidden(B, A)) )  => A=k3_numbers) ) ) ).
fof(t17_membered, axiom,  (! [A] :  (v5_membered(A) =>  ( (! [B] :  (v1_int_1(B) => r2_hidden(B, A)) )  => A=k4_numbers) ) ) ).
fof(t18_membered, axiom,  (! [A] :  (v6_membered(A) =>  ( (! [B] :  (v7_ordinal1(B) => r2_tarski(B, A)) )  => A=k4_ordinal1) ) ) ).
fof(t19_membered, axiom,  (! [A] :  (! [B] :  (v1_membered(B) =>  (r1_tarski(A, B) => v1_membered(A)) ) ) ) ).
fof(t20_membered, axiom,  (! [A] :  (! [B] :  (v2_membered(B) =>  (r1_tarski(A, B) => v2_membered(A)) ) ) ) ).
fof(t21_membered, axiom,  (! [A] :  (! [B] :  (v3_membered(B) =>  (r1_tarski(A, B) => v3_membered(A)) ) ) ) ).
fof(t22_membered, axiom,  (! [A] :  (! [B] :  (v4_membered(B) =>  (r1_tarski(A, B) => v4_membered(A)) ) ) ) ).
fof(t23_membered, axiom,  (! [A] :  (! [B] :  (v5_membered(B) =>  (r1_tarski(A, B) => v5_membered(A)) ) ) ) ).
fof(t24_membered, axiom,  (! [A] :  (! [B] :  (v6_membered(B) =>  (r1_tarski(A, B) => v6_membered(A)) ) ) ) ).
fof(d7_membered, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (r1_tarski(A, B) <=>  (! [C] :  (v1_xcmplx_0(C) =>  (r2_hidden(C, A) => r2_hidden(C, B)) ) ) ) ) ) ) ).
fof(d8_membered, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (r1_tarski(A, B) <=>  (! [C] :  (v1_xxreal_0(C) =>  (r2_hidden(C, A) => r2_hidden(C, B)) ) ) ) ) ) ) ).
fof(d9_membered, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (r1_tarski(A, B) <=>  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => r2_hidden(C, B)) ) ) ) ) ) ) ).
fof(d10_membered, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  (r1_tarski(A, B) <=>  (! [C] :  (v1_rat_1(C) =>  (r2_hidden(C, A) => r2_hidden(C, B)) ) ) ) ) ) ) ).
fof(d11_membered, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  (r1_tarski(A, B) <=>  (! [C] :  (v1_int_1(C) =>  (r2_hidden(C, A) => r2_hidden(C, B)) ) ) ) ) ) ) ).
fof(d12_membered, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  (r1_tarski(A, B) <=>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, A) => r2_tarski(C, B)) ) ) ) ) ) ) ).
fof(d13_membered, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (A=B <=>  (! [C] :  (v1_xcmplx_0(C) =>  (r2_hidden(C, A) <=> r2_hidden(C, B)) ) ) ) ) ) ) ) ).
fof(d14_membered, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (A=B <=>  (! [C] :  (v1_xxreal_0(C) =>  (r2_hidden(C, A) <=> r2_hidden(C, B)) ) ) ) ) ) ) ) ).
fof(d15_membered, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (v3_membered(B) =>  (A=B <=>  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) <=> r2_hidden(C, B)) ) ) ) ) ) ) ) ).
fof(d16_membered, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  (v4_membered(B) =>  (A=B <=>  (! [C] :  (v1_rat_1(C) =>  (r2_hidden(C, A) <=> r2_hidden(C, B)) ) ) ) ) ) ) ) ).
fof(d17_membered, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  (v5_membered(B) =>  (A=B <=>  (! [C] :  (v1_int_1(C) =>  (r2_hidden(C, A) <=> r2_hidden(C, B)) ) ) ) ) ) ) ) ).
fof(d18_membered, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  (v6_membered(B) =>  (A=B <=>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, A) <=> r2_tarski(C, B)) ) ) ) ) ) ) ) ).
fof(d19_membered, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (r1_xboole_0(A, B) <=>  (! [C] :  (v1_xcmplx_0(C) =>  ~ ( (r2_hidden(C, A) & r2_hidden(C, B)) ) ) ) ) ) ) ) ) ).
fof(d20_membered, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) =>  (r1_xboole_0(A, B) <=>  (! [C] :  (v1_xxreal_0(C) =>  ~ ( (r2_hidden(C, A) & r2_hidden(C, B)) ) ) ) ) ) ) ) ) ).
fof(d21_membered, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (v3_membered(B) =>  (r1_xboole_0(A, B) <=>  (! [C] :  (v1_xreal_0(C) =>  ~ ( (r2_hidden(C, A) & r2_hidden(C, B)) ) ) ) ) ) ) ) ) ).
fof(d22_membered, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  (v4_membered(B) =>  (r1_xboole_0(A, B) <=>  (! [C] :  (v1_rat_1(C) =>  ~ ( (r2_hidden(C, A) & r2_hidden(C, B)) ) ) ) ) ) ) ) ) ).
fof(d23_membered, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  (v5_membered(B) =>  (r1_xboole_0(A, B) <=>  (! [C] :  (v1_int_1(C) =>  ~ ( (r2_hidden(C, A) & r2_hidden(C, B)) ) ) ) ) ) ) ) ) ).
fof(d24_membered, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  (v6_membered(B) =>  (r1_xboole_0(A, B) <=>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(C, A) & r2_tarski(C, B)) ) ) ) ) ) ) ) ) ).
fof(t25_membered, axiom,  (! [A] :  ( (! [B] :  (r2_tarski(B, A) => v1_membered(B)) )  => v1_membered(k3_tarski(A))) ) ).
fof(t26_membered, axiom,  (! [A] :  ( (! [B] :  (r2_tarski(B, A) => v2_membered(B)) )  => v2_membered(k3_tarski(A))) ) ).
fof(t27_membered, axiom,  (! [A] :  ( (! [B] :  (r2_tarski(B, A) => v3_membered(B)) )  => v3_membered(k3_tarski(A))) ) ).
fof(t28_membered, axiom,  (! [A] :  ( (! [B] :  (r2_tarski(B, A) => v4_membered(B)) )  => v4_membered(k3_tarski(A))) ) ).
fof(t29_membered, axiom,  (! [A] :  ( (! [B] :  (r2_tarski(B, A) => v5_membered(B)) )  => v5_membered(k3_tarski(A))) ) ).
fof(t30_membered, axiom,  (! [A] :  ( (! [B] :  (r2_tarski(B, A) => v6_membered(B)) )  => v6_membered(k3_tarski(A))) ) ).
fof(t31_membered, axiom,  (! [A] :  (! [B] :  ( (r2_tarski(B, A) & v1_membered(B))  => v1_membered(k1_setfam_1(A))) ) ) ).
fof(t32_membered, axiom,  (! [A] :  (! [B] :  ( (r2_tarski(B, A) & v2_membered(B))  => v2_membered(k1_setfam_1(A))) ) ) ).
fof(t33_membered, axiom,  (! [A] :  (! [B] :  ( (r2_tarski(B, A) & v3_membered(B))  => v3_membered(k1_setfam_1(A))) ) ) ).
fof(t34_membered, axiom,  (! [A] :  (! [B] :  ( (r2_tarski(B, A) & v4_membered(B))  => v4_membered(k1_setfam_1(A))) ) ) ).
fof(t35_membered, axiom,  (! [A] :  (! [B] :  ( (r2_tarski(B, A) & v5_membered(B))  => v5_membered(k1_setfam_1(A))) ) ) ).
fof(t36_membered, axiom,  (! [A] :  (! [B] :  ( (r2_tarski(B, A) & v6_membered(B))  => v6_membered(k1_setfam_1(A))) ) ) ).
fof(t37_membered, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (v3_membered(B) =>  ~ ( ( ~ (A=k1_xboole_0)  &  ( ~ (B=k1_xboole_0)  &  ( (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r2_hidden(C, A) & r2_hidden(D, B))  => r1_xxreal_0(C, D)) ) ) ) )  &  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, A) => r1_xxreal_0(D, C)) ) )  &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => r1_xxreal_0(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d25_membered, axiom,  (! [A] :  (v7_membered(A) <=>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  ( (r2_hidden(B, A) & r2_hidden(C, A))  => r2_tarski(k2_xcmplx_0(B, C), A)) ) ) ) ) ) ) ).
fof(s1_membered, axiom,  (? [A] :  (v1_membered(A) &  (! [B] :  (v1_xcmplx_0(B) =>  (r2_hidden(B, A) <=> p1_s1_membered(B)) ) ) ) ) ).
fof(s2_membered, axiom,  (? [A] :  (v2_membered(A) &  (! [B] :  (v1_xxreal_0(B) =>  (r2_hidden(B, A) <=> p1_s2_membered(B)) ) ) ) ) ).
fof(s3_membered, axiom,  (? [A] :  (v3_membered(A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) <=> p1_s3_membered(B)) ) ) ) ) ).
fof(s4_membered, axiom,  (? [A] :  (v4_membered(A) &  (! [B] :  (v1_rat_1(B) =>  (r2_hidden(B, A) <=> p1_s4_membered(B)) ) ) ) ) ).
fof(s5_membered, axiom,  (? [A] :  (v5_membered(A) &  (! [B] :  (v1_int_1(B) =>  (r2_hidden(B, A) <=> p1_s5_membered(B)) ) ) ) ) ).
fof(s6_membered, axiom,  (? [A] :  (v6_membered(A) &  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, A) <=> p1_s6_membered(B)) ) ) ) ) ).
fof(rc1_memstr_0, axiom,  (! [A] :  (? [B] :  (l1_memstr_0(B, A) & v1_memstr_0(B, A)) ) ) ).
fof(fc1_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (v13_struct_0(k1_memstr_0(A), 1) & v1_memstr_0(k1_memstr_0(A), A)) ) ) ).
fof(rc2_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_memstr_0(B, A) & v13_struct_0(B, 1)) ) ) ) ).
fof(cc1_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(fc2_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (v1_memstr_0(k1_memstr_0(A), A) & v2_memstr_0(k1_memstr_0(A), A)) ) ) ).
fof(rc3_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_memstr_0(B, A) & v2_memstr_0(B, A)) ) ) ) ).
fof(fc3_memstr_0, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  (v2_memstr_0(B, A) & l1_memstr_0(B, A)) )  =>  (v1_relat_1(k2_memstr_0(A, B)) &  (v2_relat_1(k2_memstr_0(A, B)) &  (v4_relat_1(k2_memstr_0(A, B), u1_struct_0(B)) &  (v1_funct_1(k2_memstr_0(A, B)) & v1_partfun1(k2_memstr_0(A, B), u1_struct_0(B))) ) ) ) ) ) ).
fof(fc4_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (v1_memstr_0(k1_memstr_0(A), A) & v3_memstr_0(k1_memstr_0(A), A)) ) ) ).
fof(rc4_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_memstr_0(B, A) &  ( ~ (v2_struct_0(B))  &  (v7_struct_0(B) &  (v8_struct_0(B) &  (v13_struct_0(B, 1) &  (v1_memstr_0(B, A) &  (v2_memstr_0(B, A) & v3_memstr_0(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(fc5_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) & l1_memstr_0(B, A)) )  & m1_subset_1(C, u1_struct_0(B))) )  =>  ~ (v1_xboole_0(k4_memstr_0(A, B, C))) ) ) ).
fof(fc6_memstr_0, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  &  (m1_subset_1(C, u1_struct_0(B)) & m1_subset_1(D, k4_memstr_0(A, B, C))) ) )  => v5_funct_1(k17_funcop_1(C, D), k2_memstr_0(A, B))) ) ).
fof(fc7_memstr_0, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  &  (m1_subset_1(C, u1_struct_0(B)) &  (m1_subset_1(D, k4_memstr_0(A, B, C)) &  (m1_subset_1(E, u1_struct_0(B)) & m1_subset_1(F, k4_memstr_0(A, B, E))) ) ) ) )  => v5_funct_1(k6_funct_4(C, E, D, F), k2_memstr_0(A, B))) ) ).
fof(cc2_memstr_0, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  & l1_memstr_0(B, A))  =>  (! [C] :  ( (v1_xboole_0(C) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) )  =>  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v4_memstr_0(C, A, B)) ) ) ) ) ) ) ) ).
fof(rc5_memstr_0, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  & l1_memstr_0(B, A))  =>  (? [C] :  (v1_xboole_0(C) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) ) ) ) ) ).
fof(fc8_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  (l1_memstr_0(B, A) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) ) )  =>  (v1_relat_1(k6_memstr_0(A, B, C)) &  (v4_relat_1(k6_memstr_0(A, B, C), u1_struct_0(B)) &  (v1_funct_1(k6_memstr_0(A, B, C)) &  (v5_funct_1(k6_memstr_0(A, B, C), k2_memstr_0(A, B)) & v4_memstr_0(k6_memstr_0(A, B, C), A, B)) ) ) ) ) ) ).
fof(fc9_memstr_0, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  &  (v7_ordinal1(C) &  (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) ) ) ) )  =>  (v1_relat_1(k1_funct_7(D, k4_struct_0(B), C)) &  (v1_funct_1(k1_funct_7(D, k4_struct_0(B), C)) & v5_funct_1(k1_funct_7(D, k4_struct_0(B), C), k2_memstr_0(A, B))) ) ) ) ).
fof(fc10_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  & v7_ordinal1(C)) )  =>  ( ~ (v1_xboole_0(k7_memstr_0(A, B, C)))  &  (v1_relat_1(k7_memstr_0(A, B, C)) &  (v4_relat_1(k7_memstr_0(A, B, C), u1_struct_0(B)) &  (v1_funct_1(k7_memstr_0(A, B, C)) &  (v5_funct_1(k7_memstr_0(A, B, C), k2_memstr_0(A, B)) & v5_memstr_0(k7_memstr_0(A, B, C), A, B, C)) ) ) ) ) ) ) ).
fof(rc6_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  & v7_ordinal1(C)) )  =>  (? [D] :  ( ~ (v1_xboole_0(D))  &  (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) &  (v1_partfun1(D, u1_struct_0(B)) & v5_memstr_0(D, A, B, C)) ) ) ) ) ) ) ) ) ).
fof(fc11_memstr_0, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  &  (v7_ordinal1(C) &  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) & v5_funct_1(D, k2_memstr_0(A, B))) ) )  &  (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(B)) &  (v1_funct_1(E) &  (v5_funct_1(E, k2_memstr_0(A, B)) & v5_memstr_0(E, A, B, C)) ) ) ) ) ) ) )  =>  (v1_relat_1(k1_funct_4(D, E)) &  (v1_funct_1(k1_funct_4(D, E)) & v5_memstr_0(k1_funct_4(D, E), A, B, C)) ) ) ) ).
fof(fc12_memstr_0, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  &  (v7_ordinal1(C) &  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v5_memstr_0(D, A, B, C)) ) ) )  &  (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(B)) &  (v1_funct_1(E) &  (v5_funct_1(E, k2_memstr_0(A, B)) & v4_memstr_0(E, A, B)) ) ) ) ) ) ) )  =>  (v1_relat_1(k1_funct_4(D, E)) &  (v1_funct_1(k1_funct_4(D, E)) & v5_memstr_0(k1_funct_4(D, E), A, B, C)) ) ) ) ).
fof(rc7_memstr_0, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) ) )  =>  (? [C] :  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) ) ) ) ) ).
fof(fc13_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) ) )  =>  (v1_relat_1(k8_memstr_0(A, B, C)) &  (v4_relat_1(k8_memstr_0(A, B, C), u1_struct_0(B)) &  (v1_funct_1(k8_memstr_0(A, B, C)) &  (v5_funct_1(k8_memstr_0(A, B, C), k2_memstr_0(A, B)) & v5_memstr_0(k8_memstr_0(A, B, C), A, B, k5_numbers)) ) ) ) ) ) ).
fof(fc14_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v1_partfun1(C, u1_struct_0(B))) ) ) ) ) )  =>  (v1_relat_1(k8_memstr_0(A, B, C)) &  (v4_relat_1(k8_memstr_0(A, B, C), u1_struct_0(B)) &  (v1_funct_1(k8_memstr_0(A, B, C)) &  (v5_funct_1(k8_memstr_0(A, B, C), k2_memstr_0(A, B)) & v1_partfun1(k8_memstr_0(A, B, C), u1_struct_0(B))) ) ) ) ) ) ).
fof(fc15_memstr_0, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v1_partfun1(C, u1_struct_0(B))) ) ) )  & v7_ordinal1(D)) ) )  =>  (v1_relat_1(k9_memstr_0(A, B, C, D)) &  (v4_relat_1(k9_memstr_0(A, B, C, D), u1_struct_0(B)) &  (v1_funct_1(k9_memstr_0(A, B, C, D)) &  (v5_funct_1(k9_memstr_0(A, B, C, D), k2_memstr_0(A, B)) & v1_partfun1(k9_memstr_0(A, B, C, D), u1_struct_0(B))) ) ) ) ) ) ).
fof(fc16_memstr_0, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v1_partfun1(C, u1_struct_0(B))) ) ) )  & v7_ordinal1(D)) ) )  =>  (v1_relat_1(k10_memstr_0(A, B, C, D)) &  (v4_relat_1(k10_memstr_0(A, B, C, D), u1_struct_0(B)) &  (v1_funct_1(k10_memstr_0(A, B, C, D)) &  (v5_funct_1(k10_memstr_0(A, B, C, D), k2_memstr_0(A, B)) & v1_partfun1(k10_memstr_0(A, B, C, D), u1_struct_0(B))) ) ) ) ) ) ).
fof(fc17_memstr_0, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  &  (v7_ordinal1(C) &  (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v5_memstr_0(D, A, B, C)) ) ) ) ) ) )  =>  (v1_relat_1(k10_memstr_0(A, B, D, C)) &  (v4_relat_1(k10_memstr_0(A, B, D, C), u1_struct_0(B)) &  (v1_funct_1(k10_memstr_0(A, B, D, C)) &  (v5_funct_1(k10_memstr_0(A, B, D, C), k2_memstr_0(A, B)) & v5_memstr_0(k10_memstr_0(A, B, D, C), A, B, k5_numbers)) ) ) ) ) ) ).
fof(fc18_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  & v7_ordinal1(C)) )  =>  (v1_relat_1(k7_memstr_0(A, B, C)) &  (v4_relat_1(k7_memstr_0(A, B, C), u1_struct_0(B)) &  (v1_funct_1(k7_memstr_0(A, B, C)) &  (v5_funct_1(k7_memstr_0(A, B, C), k2_memstr_0(A, B)) & v1_finset_1(k7_memstr_0(A, B, C))) ) ) ) ) ) ).
fof(rc8_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  & v7_ordinal1(C)) )  =>  (? [D] :  (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) &  (v1_finset_1(D) &  (v4_card_3(D) & v5_memstr_0(D, A, B, C)) ) ) ) ) ) ) ) ) ).
fof(fc19_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  (l1_memstr_0(B, A) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v1_finset_1(C)) ) ) ) ) )  =>  (v1_relat_1(k6_memstr_0(A, B, C)) &  (v4_relat_1(k6_memstr_0(A, B, C), u1_struct_0(B)) &  (v1_funct_1(k6_memstr_0(A, B, C)) &  (v5_funct_1(k6_memstr_0(A, B, C), k2_memstr_0(A, B)) & v1_finset_1(k6_memstr_0(A, B, C))) ) ) ) ) ) ).
fof(fc20_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v1_finset_1(C)) ) ) ) ) )  =>  (v1_relat_1(k8_memstr_0(A, B, C)) &  (v4_relat_1(k8_memstr_0(A, B, C), u1_struct_0(B)) &  (v1_funct_1(k8_memstr_0(A, B, C)) &  (v5_funct_1(k8_memstr_0(A, B, C), k2_memstr_0(A, B)) & v1_finset_1(k8_memstr_0(A, B, C))) ) ) ) ) ) ).
fof(fc21_memstr_0, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v1_finset_1(C)) ) ) )  & v7_ordinal1(D)) ) )  =>  (v1_relat_1(k9_memstr_0(A, B, C, D)) &  (v4_relat_1(k9_memstr_0(A, B, C, D), u1_struct_0(B)) &  (v1_funct_1(k9_memstr_0(A, B, C, D)) &  (v5_funct_1(k9_memstr_0(A, B, C, D), k2_memstr_0(A, B)) & v1_finset_1(k9_memstr_0(A, B, C, D))) ) ) ) ) ) ).
fof(fc22_memstr_0, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v1_finset_1(C)) ) ) )  & v7_ordinal1(D)) ) )  =>  (v1_relat_1(k10_memstr_0(A, B, C, D)) &  (v4_relat_1(k10_memstr_0(A, B, C, D), u1_struct_0(B)) &  (v1_funct_1(k10_memstr_0(A, B, C, D)) &  (v5_funct_1(k10_memstr_0(A, B, C, D), k2_memstr_0(A, B)) & v1_finset_1(k10_memstr_0(A, B, C, D))) ) ) ) ) ) ).
fof(fc23_memstr_0, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  (v2_memstr_0(B, A) & l1_memstr_0(B, A)) )  =>  ~ (v1_xboole_0(k11_memstr_0(A, B))) ) ) ).
fof(rc9_memstr_0, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k11_memstr_0(A, B), k11_memstr_0(A, B)))) &  (v1_relat_1(C) &  (v4_relat_1(C, k11_memstr_0(A, B)) &  (v5_relat_1(C, k11_memstr_0(A, B)) &  (v1_funct_1(C) &  (v1_funcop_1(C) &  (v2_funcop_1(C) & v6_memstr_0(C, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(d1_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( (v1_memstr_0(B, A) & l1_memstr_0(B, A))  =>  (B=k1_memstr_0(A) <=>  (u1_struct_0(B)=k6_domain_1(k4_ordinal1, k5_numbers) &  (u2_struct_0(B)=k5_numbers &  (u1_memstr_0(A, B)=k17_funcop_1(k5_numbers, k5_numbers) & u2_memstr_0(A, B)=k7_funcop_1(A, k4_ordinal1)) ) ) ) ) ) ) ) ).
fof(d2_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (l1_memstr_0(B, A) => k2_memstr_0(A, B)=k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B))) ) ) ) ).
fof(d3_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (l1_memstr_0(B, A) =>  (v2_memstr_0(B, A) <=> v2_relat_1(k2_memstr_0(A, B))) ) ) ) ) ).
fof(d4_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_memstr_0(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k3_memstr_0(A, B, C)=k3_funct_2(u1_struct_0(B), A, u1_memstr_0(A, B), C)) ) ) ) ) ) ).
fof(d5_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_memstr_0(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k4_memstr_0(A, B, C)=k1_funct_1(k2_memstr_0(A, B), C)) ) ) ) ) ) ).
fof(d6_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_memstr_0(B, A))  =>  (v3_memstr_0(B, A) <=> k4_memstr_0(A, B, k4_struct_0(B))=k4_ordinal1) ) ) ) ) ).
fof(d7_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  => k5_memstr_0(A, B, C)=k1_funct_1(C, k4_struct_0(B))) ) ) ) ) ) ).
fof(t1_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( (v13_struct_0(B, 1) &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v1_partfun1(C, u1_struct_0(B))) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (k5_memstr_0(A, B, C)=k5_memstr_0(A, B, D) => C=D) ) ) ) ) ) ) ) ) ).
fof(t2_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) & l1_memstr_0(B, A)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v1_partfun1(C, u1_struct_0(B))) ) ) )  => r2_tarski(k4_struct_0(B), k9_xtuple_0(C))) ) ) ) ) ) ).
fof(d8_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (l1_memstr_0(B, A) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  => k6_memstr_0(A, B, C)=k5_relat_1(C, k8_struct_0(B))) ) ) ) ) ) ).
fof(d9_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (l1_memstr_0(B, A) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  =>  (v4_memstr_0(C, A, B) <=> r1_xboole_0(k9_xtuple_0(C), k1_tarski(k4_struct_0(B)))) ) ) ) ) ) ) ).
fof(t3_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (l1_memstr_0(B, A) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  =>  ~ (r2_tarski(k4_struct_0(B), k9_xtuple_0(k6_memstr_0(A, B, C)))) ) ) ) ) ) ) ).
fof(t4_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (l1_memstr_0(B, A) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  => r1_xboole_0(k1_tarski(k4_struct_0(B)), k9_xtuple_0(k6_memstr_0(A, B, C)))) ) ) ) ) ) ).
fof(t5_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v4_memstr_0(C, A, B)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) & v5_funct_1(D, k2_memstr_0(A, B))) ) )  =>  (r1_tarski(C, D) <=> r1_tarski(C, k6_memstr_0(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t6_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (l1_memstr_0(B, A) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  =>  (v4_memstr_0(C, A, B) <=> r1_tarski(k9_xtuple_0(C), k8_struct_0(B))) ) ) ) ) ) ) ).
fof(t7_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (l1_memstr_0(B, A) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v4_memstr_0(C, A, B)) ) ) )  => k6_memstr_0(A, B, C)=C) ) ) ) ) ) ).
fof(t8_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v1_partfun1(C, u1_struct_0(B))) ) ) )  => r1_tarski(k8_struct_0(B), k9_xtuple_0(C))) ) ) ) ) ) ).
fof(t9_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v1_partfun1(C, u1_struct_0(B))) ) ) )  => k9_xtuple_0(k6_memstr_0(A, B, C))=k8_struct_0(B)) ) ) ) ) ) ).
fof(t10_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v4_memstr_0(C, A, B)) ) ) )  =>  ~ (r2_tarski(k4_struct_0(B), k9_xtuple_0(C))) ) ) ) ) ) ) ).
fof(t11_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v4_memstr_0(D, A, B)) ) ) )  => k5_memstr_0(A, B, k1_funct_4(C, D))=k5_memstr_0(A, B, C)) ) ) ) ) ) ) ) ).
fof(t12_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  => r1_tarski(k6_memstr_0(A, B, C), C)) ) ) ) ) ) ).
fof(t13_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v1_partfun1(C, u1_struct_0(B))) ) ) )  => k9_xtuple_0(C)=k4_subset_1(u1_struct_0(B), k6_domain_1(u1_struct_0(B), k4_struct_0(B)), k8_struct_0(B))) ) ) ) ) ) ).
fof(t14_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  => k9_subset_1(u1_struct_0(B), k9_xtuple_0(C), k8_struct_0(B))=k9_xtuple_0(k6_memstr_0(A, B, C))) ) ) ) ) ) ).
fof(d10_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  (v7_ordinal1(C) => k7_memstr_0(A, B, C)=k17_funcop_1(k4_struct_0(B), C)) ) ) ) ) ) ).
fof(d11_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) & v5_funct_1(D, k2_memstr_0(A, B))) ) )  =>  (v5_memstr_0(D, A, B, C) <=>  (r2_tarski(k4_struct_0(B), k9_xtuple_0(D)) & k5_memstr_0(A, B, D)=C) ) ) ) ) ) ) ) ) ) ).
fof(t15_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  (v7_ordinal1(C) => r2_tarski(k4_struct_0(B), k9_xtuple_0(k7_memstr_0(A, B, C)))) ) ) ) ) ) ).
fof(t16_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  =>  (! [D] :  (v7_ordinal1(D) => k5_memstr_0(A, B, k1_funct_4(C, k7_memstr_0(A, B, D)))=D) ) ) ) ) ) ) ) ).
fof(d12_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (v5_memstr_0(D, A, B, C) <=> k5_memstr_0(A, B, D)=C) ) ) ) ) ) ) ) ) ).
fof(t17_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v5_memstr_0(D, A, B, C)) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(B)) &  (v1_funct_1(E) & v5_funct_1(E, k2_memstr_0(A, B))) ) )  =>  (r1_tarski(D, E) => v5_memstr_0(E, A, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v1_partfun1(C, u1_struct_0(B))) ) ) )  => k7_memstr_0(A, B, k5_memstr_0(A, B, C))=k5_relat_1(C, k6_domain_1(u1_struct_0(B), k4_struct_0(B)))) ) ) ) ) ) ).
fof(t19_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  =>  (r2_tarski(k4_struct_0(B), k9_xtuple_0(C)) => C=k1_funct_4(k7_memstr_0(A, B, k5_memstr_0(A, B, C)), k6_memstr_0(A, B, C))) ) ) ) ) ) ) ).
fof(t20_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  (v7_ordinal1(C) => k6_memstr_0(A, B, k7_memstr_0(A, B, C))=k1_xboole_0) ) ) ) ) ) ).
fof(t21_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (k7_memstr_0(A, B, k2_xcmplx_0(C, E))=k7_memstr_0(A, B, k2_xcmplx_0(D, E)) <=> k7_memstr_0(A, B, C)=k7_memstr_0(A, B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (k7_memstr_0(A, B, C)=k7_memstr_0(A, B, D) => k7_memstr_0(A, B, k7_nat_d(C, E))=k7_memstr_0(A, B, k7_nat_d(D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v4_memstr_0(C, A, B)) ) ) )  =>  (! [D] :  (v7_ordinal1(D) => r1_partfun1(C, k7_memstr_0(A, B, D))) ) ) ) ) ) ) ) ).
fof(t24_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  =>  (r2_tarski(k4_struct_0(B), k9_xtuple_0(C)) => k9_xtuple_0(C)=k2_xboole_0(k6_domain_1(u1_struct_0(B), k4_struct_0(B)), k9_xtuple_0(k6_memstr_0(A, B, C)))) ) ) ) ) ) ) ).
fof(t25_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v1_partfun1(C, u1_struct_0(B))) ) ) )  => k9_xtuple_0(C)=k2_xboole_0(k6_domain_1(u1_struct_0(B), k4_struct_0(B)), k9_xtuple_0(k6_memstr_0(A, B, C)))) ) ) ) ) ) ).
fof(t26_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  =>  (r2_tarski(k4_struct_0(B), k9_xtuple_0(C)) => C=k1_funct_4(k6_memstr_0(A, B, C), k7_memstr_0(A, B, k5_memstr_0(A, B, C)))) ) ) ) ) ) ) ).
fof(t27_memstr_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_setfam_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_memstr_0(C, B) &  (v3_memstr_0(C, B) & l1_memstr_0(C, B)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(C)) &  (v1_funct_1(D) & v5_funct_1(D, k2_memstr_0(B, C))) ) )  => r2_tarski(k4_struct_0(C), k9_xtuple_0(k1_funct_4(D, k7_memstr_0(B, C, A))))) ) ) ) ) ) ) ) ).
fof(t28_memstr_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_setfam_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_memstr_0(C, B) &  (v3_memstr_0(C, B) & l1_memstr_0(C, B)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(C)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(B, C)) & v1_partfun1(D, u1_struct_0(C))) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(C)) &  (v1_funct_1(E) & v5_funct_1(E, k2_memstr_0(B, C))) ) )  =>  (r1_tarski(k1_funct_4(E, k7_memstr_0(B, C, A)), D) => k5_memstr_0(B, C, D)=A) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) & v5_funct_1(D, k2_memstr_0(A, B))) ) )  =>  (v5_memstr_0(D, A, B, C) <=> r1_tarski(k7_memstr_0(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t30_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v1_partfun1(C, u1_struct_0(B))) ) ) )  => r1_tarski(k7_memstr_0(A, B, k5_memstr_0(A, B, C)), C)) ) ) ) ) ) ).
fof(t31_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v1_partfun1(C, u1_struct_0(B))) ) ) )  => k1_funct_4(C, k7_memstr_0(A, B, k5_memstr_0(A, B, C)))=C) ) ) ) ) ) ).
fof(t32_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  => r1_tarski(k9_xtuple_0(C), k2_xboole_0(k6_domain_1(u1_struct_0(B), k4_struct_0(B)), k9_xtuple_0(k6_memstr_0(A, B, C))))) ) ) ) ) ) ).
fof(t33_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v1_partfun1(C, u1_struct_0(B))) ) ) )  => C=k5_relat_1(C, k4_subset_1(u1_struct_0(B), k8_struct_0(B), k6_domain_1(u1_struct_0(B), k4_struct_0(B))))) ) ) ) ) ) ).
fof(t34_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v1_partfun1(C, u1_struct_0(B))) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (k5_relat_1(C, k4_subset_1(u1_struct_0(B), k8_struct_0(B), k6_domain_1(u1_struct_0(B), k4_struct_0(B))))=k5_relat_1(D, k4_subset_1(u1_struct_0(B), k8_struct_0(B), k6_domain_1(u1_struct_0(B), k4_struct_0(B)))) => C=D) ) ) ) ) ) ) ) ) ).
fof(t35_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  =>  (r2_tarski(k4_struct_0(B), k9_xtuple_0(C)) => C=k1_funct_4(k7_memstr_0(A, B, k5_memstr_0(A, B, C)), k6_memstr_0(A, B, C))) ) ) ) ) ) ) ).
fof(t36_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) => k1_funct_4(k1_funct_4(C, k7_memstr_0(A, B, D)), k7_memstr_0(A, B, E))=k1_funct_4(C, k7_memstr_0(A, B, E))) ) ) ) ) ) ) ) ) ) ).
fof(t37_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  =>  (r2_tarski(k4_struct_0(B), k9_xtuple_0(C)) => k1_funct_4(C, k7_memstr_0(A, B, k5_memstr_0(A, B, C)))=C) ) ) ) ) ) ) ).
fof(t38_memstr_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_setfam_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_memstr_0(C, B) &  (v3_memstr_0(C, B) & l1_memstr_0(C, B)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(C)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(B, C)) & v1_partfun1(D, u1_struct_0(C))) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(C)) &  (v1_funct_1(E) & v5_funct_1(E, k2_memstr_0(B, C))) ) )  =>  (r1_tarski(k1_funct_4(E, k7_memstr_0(B, C, A)), D) => k5_memstr_0(B, C, D)=A) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  =>  (r1_tarski(k7_memstr_0(A, B, k5_numbers), C) => k5_memstr_0(A, B, C)=k5_numbers) ) ) ) ) ) ) ).
fof(t40_memstr_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_setfam_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_memstr_0(C, B) &  (v3_memstr_0(C, B) & l1_memstr_0(C, B)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(C)) &  (v1_funct_1(D) & v5_funct_1(D, k2_memstr_0(B, C))) ) )  =>  (r1_tarski(k7_memstr_0(B, C, A), D) => k5_memstr_0(B, C, D)=A) ) ) ) ) ) ) ) ) ).
fof(t41_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) )  =>  ~ (r2_subset_1(k9_xtuple_0(C), k4_subset_1(u1_struct_0(B), k6_domain_1(u1_struct_0(B), k4_struct_0(B)), k8_struct_0(B)))) ) ) ) ) ) ) ).
fof(d13_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  => k8_memstr_0(A, B, C)=k1_funct_4(C, k7_memstr_0(A, B, k5_numbers))) ) ) ) ) ) ).
fof(t42_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  => k9_xtuple_0(k8_memstr_0(A, B, C))=k2_xboole_0(k9_xtuple_0(C), k6_domain_1(u1_struct_0(B), k4_struct_0(B)))) ) ) ) ) ) ).
fof(t43_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  =>  (! [D] :  ~ ( (r2_tarski(D, k9_xtuple_0(k8_memstr_0(A, B, C))) &  ( ~ (r2_tarski(D, k9_xtuple_0(C)))  &  ~ (D=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v5_memstr_0(C, A, B, k5_numbers)) ) ) )  => k8_memstr_0(A, B, C)=C) ) ) ) ) ) ).
fof(t45_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  => k6_memstr_0(A, B, k8_memstr_0(A, B, C))=k6_memstr_0(A, B, C)) ) ) ) ) ) ).
fof(t46_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v1_partfun1(C, u1_struct_0(B))) ) ) )  =>  (k5_memstr_0(A, B, C)=k5_numbers => k8_memstr_0(A, B, C)=C) ) ) ) ) ) ) ).
fof(t47_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v1_partfun1(C, u1_struct_0(B))) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) & v5_funct_1(D, k2_memstr_0(A, B))) ) )  =>  (r1_tarski(k8_memstr_0(A, B, D), C) => k5_memstr_0(A, B, C)=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(t48_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  => r2_tarski(k4_struct_0(B), k9_xtuple_0(k8_memstr_0(A, B, C)))) ) ) ) ) ) ).
fof(t49_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) & v5_funct_1(D, k2_memstr_0(A, B))) ) )  => r2_tarski(k4_struct_0(B), k9_xtuple_0(k1_funct_4(C, k8_memstr_0(A, B, D))))) ) ) ) ) ) ) ) ).
fof(t50_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) & v5_funct_1(D, k2_memstr_0(A, B))) ) )  =>  (r1_tarski(k8_memstr_0(A, B, C), D) => r1_tarski(k7_memstr_0(A, B, k5_numbers), D)) ) ) ) ) ) ) ) ) ).
fof(d14_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  =>  (! [D] :  (v7_ordinal1(D) => k9_memstr_0(A, B, C, D)=k1_funct_4(C, k7_memstr_0(A, B, k2_xcmplx_0(k5_memstr_0(A, B, C), D)))) ) ) ) ) ) ) ) ).
fof(t51_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  =>  (! [D] :  (v7_ordinal1(D) => k6_memstr_0(A, B, k9_memstr_0(A, B, C, D))=k6_memstr_0(A, B, C)) ) ) ) ) ) ) ) ).
fof(t52_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  =>  (! [D] :  (v7_ordinal1(D) => r2_tarski(k4_struct_0(B), k9_xtuple_0(k9_memstr_0(A, B, C, D)))) ) ) ) ) ) ) ) ).
fof(t53_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  =>  (! [D] :  (v7_ordinal1(D) => k5_memstr_0(A, B, k9_memstr_0(A, B, C, D))=k2_xcmplx_0(k5_memstr_0(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t54_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v4_memstr_0(D, A, B)) ) ) )  =>  (! [E] :  (v7_ordinal1(E) => k9_memstr_0(A, B, k1_funct_4(C, D), E)=k1_funct_4(k9_memstr_0(A, B, C, E), D)) ) ) ) ) ) ) ) ) ) ).
fof(t55_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  =>  (! [D] :  (v7_ordinal1(D) => r1_tarski(k7_memstr_0(A, B, k2_xcmplx_0(k5_memstr_0(A, B, C), D)), k9_memstr_0(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t56_memstr_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_setfam_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_memstr_0(C, B) &  (v3_memstr_0(C, B) & l1_memstr_0(C, B)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(C)) &  (v1_funct_1(D) & v5_funct_1(D, k2_memstr_0(B, C))) ) )  =>  (r2_tarski(k4_struct_0(C), k9_xtuple_0(D)) => k9_memstr_0(B, C, D, A)=k1_funct_4(k6_memstr_0(B, C, D), k7_memstr_0(B, C, k2_xcmplx_0(k5_memstr_0(B, C, D), A)))) ) ) ) ) ) ) ) ) ).
fof(t57_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) => k9_memstr_0(A, B, k9_memstr_0(A, B, C, D), E)=k9_memstr_0(A, B, C, k2_xcmplx_0(D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t58_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) => k9_memstr_0(A, B, k1_funct_4(C, k7_memstr_0(A, B, D)), E)=k1_funct_4(C, k7_memstr_0(A, B, k2_xcmplx_0(D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t59_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v1_partfun1(C, u1_struct_0(B))) ) ) )  =>  (! [D] :  (v7_ordinal1(D) => k7_nat_d(k5_memstr_0(A, B, k9_memstr_0(A, B, C, D)), D)=k5_memstr_0(A, B, C)) ) ) ) ) ) ) ) ).
fof(t60_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) & v5_funct_1(D, k2_memstr_0(A, B))) ) )  =>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(k4_struct_0(B), k9_xtuple_0(D)) => k9_memstr_0(A, B, k1_funct_4(C, D), E)=k1_funct_4(C, k9_memstr_0(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) & v5_funct_1(D, k2_memstr_0(A, B))) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(B)) &  (v1_funct_1(E) &  (v5_funct_1(E, k2_memstr_0(A, B)) & v1_partfun1(E, u1_struct_0(B))) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, u1_struct_0(B)) &  (v1_funct_1(F) &  (v5_funct_1(F, k2_memstr_0(A, B)) & v1_partfun1(F, u1_struct_0(B))) ) ) )  =>  ( (r1_tarski(D, E) & r1_tarski(k9_memstr_0(A, B, D, C), F))  => r1_tarski(D, k1_funct_4(E, k6_memstr_0(A, B, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  =>  (! [D] :  (v7_ordinal1(D) => r1_tarski(k6_memstr_0(A, B, C), k9_memstr_0(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(d15_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  =>  (! [D] :  (v7_ordinal1(D) => k10_memstr_0(A, B, C, D)=k1_funct_4(C, k7_memstr_0(A, B, k7_nat_d(k5_memstr_0(A, B, C), D)))) ) ) ) ) ) ) ) ).
fof(t63_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  =>  (! [D] :  (v7_ordinal1(D) => k6_memstr_0(A, B, k10_memstr_0(A, B, C, D))=k6_memstr_0(A, B, C)) ) ) ) ) ) ) ) ).
fof(t64_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  =>  (! [D] :  (v7_ordinal1(D) => r2_tarski(k4_struct_0(B), k9_xtuple_0(k10_memstr_0(A, B, C, D)))) ) ) ) ) ) ) ) ).
fof(t65_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  =>  (! [D] :  (v7_ordinal1(D) => k5_memstr_0(A, B, k10_memstr_0(A, B, C, D))=k7_nat_d(k5_memstr_0(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t66_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v4_memstr_0(D, A, B)) ) ) )  =>  (! [E] :  (v7_ordinal1(E) => k10_memstr_0(A, B, k1_funct_4(C, D), E)=k1_funct_4(k10_memstr_0(A, B, C, E), D)) ) ) ) ) ) ) ) ) ) ).
fof(t67_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  =>  (! [D] :  (v7_ordinal1(D) => r1_tarski(k7_memstr_0(A, B, k7_nat_d(k5_memstr_0(A, B, C), D)), k10_memstr_0(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t68_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(k4_struct_0(B), k9_xtuple_0(C)) => k10_memstr_0(A, B, C, D)=k1_funct_4(k6_memstr_0(A, B, C), k7_memstr_0(A, B, k7_nat_d(k5_memstr_0(A, B, C), D)))) ) ) ) ) ) ) ) ) ).
fof(t69_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) => k10_memstr_0(A, B, k10_memstr_0(A, B, C, D), E)=k10_memstr_0(A, B, C, k2_xcmplx_0(D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t70_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) => k10_memstr_0(A, B, k1_funct_4(C, k7_memstr_0(A, B, D)), E)=k1_funct_4(C, k7_memstr_0(A, B, k7_nat_d(D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t71_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v1_partfun1(C, u1_struct_0(B))) ) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(D, k5_memstr_0(A, B, C)) => k2_xcmplx_0(k5_memstr_0(A, B, k10_memstr_0(A, B, C, D)), D)=k5_memstr_0(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t72_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) & v5_funct_1(D, k2_memstr_0(A, B))) ) )  =>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(k4_struct_0(B), k9_xtuple_0(D)) => k10_memstr_0(A, B, k1_funct_4(C, D), E)=k1_funct_4(C, k10_memstr_0(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t73_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(k4_struct_0(B), k9_xtuple_0(C)) => k10_memstr_0(A, B, k9_memstr_0(A, B, C, D), D)=C) ) ) ) ) ) ) ) ) ).
fof(t74_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) & v5_funct_1(D, k2_memstr_0(A, B))) ) )  =>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(k4_struct_0(B), k9_xtuple_0(D)) => k10_memstr_0(A, B, k1_funct_4(C, k9_memstr_0(A, B, D, E)), E)=k1_funct_4(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( (v2_memstr_0(B, A) & l1_memstr_0(B, A))  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v1_finset_1(C)) ) ) )  => r2_tarski(C, k11_memstr_0(A, B))) ) ) ) ) ) ).
fof(t76_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( (v2_memstr_0(B, A) & l1_memstr_0(B, A))  =>  (! [C] :  (m2_subset_1(C, k8_card_3(k2_memstr_0(A, B)), k11_memstr_0(A, B)) =>  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v1_finset_1(C)) ) ) ) ) ) ) ) ) ) ).
fof(d17_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k11_memstr_0(A, B), k11_memstr_0(A, B)))))  =>  (v6_memstr_0(C, A, B) <=>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) & v5_funct_1(D, k2_memstr_0(A, B))) ) )  =>  (r2_tarski(D, k9_xtuple_0(C)) =>  (v4_memstr_0(D, A, B) &  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(B)) &  (v1_funct_1(E) & v5_funct_1(E, k2_memstr_0(A, B))) ) )  =>  (E=k1_funct_1(C, D) => v4_memstr_0(E, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t77_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) & l1_memstr_0(B, A)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v1_partfun1(C, u1_struct_0(B))) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => r2_tarski(k1_funct_1(C, D), k4_memstr_0(A, B, D))) ) ) ) ) ) ) ) ).
fof(t78_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v1_partfun1(C, u1_struct_0(B))) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  ( (k5_memstr_0(A, B, C)=k5_memstr_0(A, B, D) & k6_memstr_0(A, B, C)=k6_memstr_0(A, B, D))  => C=D) ) ) ) ) ) ) ) ) ).
fof(t79_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v1_partfun1(C, u1_struct_0(B))) ) ) )  =>  (! [D] :  (v7_ordinal1(D) => k6_memstr_0(A, B, C)=k6_memstr_0(A, B, k1_funct_4(C, k7_memstr_0(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t80_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v1_partfun1(C, u1_struct_0(B))) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (k6_memstr_0(A, B, C)=k6_memstr_0(A, B, D) => k8_memstr_0(A, B, C)=k8_memstr_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t81_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => k2_memstr_0(A, k1_memstr_0(A))=k17_funcop_1(k5_numbers, k4_ordinal1)) ) ).
fof(d18_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_card_3(k2_memstr_0(A, B)), k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(A, B)), k4_ordinal1)))) )  =>  (v7_memstr_0(C, A, B) <=>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(B)) &  (v1_funct_1(E) &  (v5_funct_1(E, k2_memstr_0(A, B)) & v1_partfun1(E, u1_struct_0(B))) ) ) )  =>  (k6_memstr_0(A, B, D)=k6_memstr_0(A, B, E) => k1_funct_1(C, D)=k1_funct_1(C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(abstractness_v1_memstr_0, axiom,  (! [A, B] :  (l1_memstr_0(B, A) =>  (v1_memstr_0(B, A) => B=g1_memstr_0(A, u1_struct_0(B), u2_struct_0(B), u1_memstr_0(A, B), u2_memstr_0(A, B))) ) ) ).
fof(dt_l1_memstr_0, axiom,  (! [A] :  (! [B] :  (l1_memstr_0(B, A) => l2_struct_0(B)) ) ) ).
fof(existence_l1_memstr_0, axiom,  (! [A] :  (? [B] : l1_memstr_0(B, A)) ) ).
fof(dt_g1_memstr_0, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(C, B) &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) ) ) )  =>  (v1_memstr_0(g1_memstr_0(A, B, C, D, E), A) & l1_memstr_0(g1_memstr_0(A, B, C, D, E), A)) ) ) ).
fof(free_g1_memstr_0, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(C, B) &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) ) ) )  =>  (! [F, G, H, I, J] :  (g1_memstr_0(A, B, C, D, E)=g1_memstr_0(F, G, H, I, J) =>  (A=F &  (B=G &  (C=H &  (D=I & E=J) ) ) ) ) ) ) ) ).
fof(dt_u1_memstr_0, axiom,  (! [A, B] :  (l1_memstr_0(B, A) =>  (v1_funct_1(u1_memstr_0(A, B)) &  (v1_funct_2(u1_memstr_0(A, B), u1_struct_0(B), A) & m1_subset_1(u1_memstr_0(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), A)))) ) ) ) ).
fof(dt_u2_memstr_0, axiom,  (! [A, B] :  (l1_memstr_0(B, A) =>  (v1_relat_1(u2_memstr_0(A, B)) &  (v4_relat_1(u2_memstr_0(A, B), A) &  (v1_funct_1(u2_memstr_0(A, B)) & v1_partfun1(u2_memstr_0(A, B), A)) ) ) ) ) ).
fof(dt_k1_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (v1_memstr_0(k1_memstr_0(A), A) & l1_memstr_0(k1_memstr_0(A), A)) ) ) ).
fof(dt_k2_memstr_0, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  & l1_memstr_0(B, A))  =>  (v1_relat_1(k2_memstr_0(A, B)) &  (v4_relat_1(k2_memstr_0(A, B), u1_struct_0(B)) &  (v1_funct_1(k2_memstr_0(A, B)) & v1_partfun1(k2_memstr_0(A, B), u1_struct_0(B))) ) ) ) ) ).
fof(dt_k3_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  & l1_memstr_0(B, A))  & m1_subset_1(C, u1_struct_0(B))) )  => m1_subset_1(k3_memstr_0(A, B, C), A)) ) ).
fof(dt_k5_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) ) )  => m1_subset_1(k5_memstr_0(A, B, C), k4_ordinal1)) ) ).
fof(dt_k6_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  (l1_memstr_0(B, A) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) ) )  =>  (v1_relat_1(k6_memstr_0(A, B, C)) &  (v4_relat_1(k6_memstr_0(A, B, C), u1_struct_0(B)) &  (v1_funct_1(k6_memstr_0(A, B, C)) & v5_funct_1(k6_memstr_0(A, B, C), k2_memstr_0(A, B))) ) ) ) ) ).
fof(projectivity_k6_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  (l1_memstr_0(B, A) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) ) )  => k6_memstr_0(A, B, k6_memstr_0(A, B, C))=k6_memstr_0(A, B, C)) ) ).
fof(dt_k7_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  & v7_ordinal1(C)) )  =>  (v1_relat_1(k7_memstr_0(A, B, C)) &  (v4_relat_1(k7_memstr_0(A, B, C), u1_struct_0(B)) &  (v1_funct_1(k7_memstr_0(A, B, C)) & v5_funct_1(k7_memstr_0(A, B, C), k2_memstr_0(A, B))) ) ) ) ) ).
fof(dt_k8_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) ) )  =>  (v1_relat_1(k8_memstr_0(A, B, C)) &  (v4_relat_1(k8_memstr_0(A, B, C), u1_struct_0(B)) &  (v1_funct_1(k8_memstr_0(A, B, C)) & v5_funct_1(k8_memstr_0(A, B, C), k2_memstr_0(A, B))) ) ) ) ) ).
fof(projectivity_k8_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) ) )  => k8_memstr_0(A, B, k8_memstr_0(A, B, C))=k8_memstr_0(A, B, C)) ) ).
fof(dt_k9_memstr_0, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  & v7_ordinal1(D)) ) )  =>  (v1_relat_1(k9_memstr_0(A, B, C, D)) &  (v4_relat_1(k9_memstr_0(A, B, C, D), u1_struct_0(B)) &  (v1_funct_1(k9_memstr_0(A, B, C, D)) & v5_funct_1(k9_memstr_0(A, B, C, D), k2_memstr_0(A, B))) ) ) ) ) ).
fof(dt_k10_memstr_0, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  & v7_ordinal1(D)) ) )  =>  (v1_relat_1(k10_memstr_0(A, B, C, D)) &  (v4_relat_1(k10_memstr_0(A, B, C, D), u1_struct_0(B)) &  (v1_funct_1(k10_memstr_0(A, B, C, D)) & v5_funct_1(k10_memstr_0(A, B, C, D), k2_memstr_0(A, B))) ) ) ) ) ).
fof(dt_k11_memstr_0, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  (v2_memstr_0(B, A) & l1_memstr_0(B, A)) )  => m1_subset_1(k11_memstr_0(A, B), k1_zfmisc_1(k8_card_3(k2_memstr_0(A, B))))) ) ).
fof(d16_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( (v2_memstr_0(B, A) & l1_memstr_0(B, A))  => k11_memstr_0(A, B)=a_2_0_memstr_0(A, B)) ) ) ) ).
fof(fraenkel_a_2_0_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(B))  &  (v2_memstr_0(C, B) & l1_memstr_0(C, B)) )  =>  (r2_hidden(A, a_2_0_memstr_0(B, C)) <=>  (? [D] :  (m1_subset_1(D, k8_card_3(k2_memstr_0(B, C))) &  (A=D & v1_finset_1(D)) ) ) ) ) ) ).
fof(d1_menelaus, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (r1_menelaus(A, B, C) <=>  ~ ( ( ~ ( (r1_xboole_0(A, B) &  (r1_xboole_0(B, C) & r1_xboole_0(C, A)) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ~ ( (r2_tarski(D, A) &  (r2_tarski(D, B) & r2_tarski(D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_menelaus, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (k17_euclid(k3_rlvect_1(k15_euclid(2), A, B))=k2_xcmplx_0(k17_euclid(A), k17_euclid(B)) & k18_euclid(k3_rlvect_1(k15_euclid(2), A, B))=k2_xcmplx_0(k18_euclid(A), k18_euclid(B))) ) ) ) ) ).
fof(t2_menelaus, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (v1_xreal_0(B) =>  (k17_euclid(k1_rlvect_1(k15_euclid(2), A, B))=k3_xcmplx_0(B, k17_euclid(A)) & k18_euclid(k1_rlvect_1(k15_euclid(2), A, B))=k3_xcmplx_0(B, k18_euclid(A))) ) ) ) ) ).
fof(t3_menelaus, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (k17_euclid(k4_algstr_0(k15_euclid(2), A))=k4_xcmplx_0(k17_euclid(A)) & k18_euclid(k4_algstr_0(k15_euclid(2), A))=k4_xcmplx_0(k18_euclid(A))) ) ) ).
fof(t4_menelaus, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (k17_euclid(k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), A, C), k1_rlvect_1(k15_euclid(2), B, D)))=k2_xcmplx_0(k3_xcmplx_0(C, k17_euclid(A)), k3_xcmplx_0(D, k17_euclid(B))) & k18_euclid(k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), A, C), k1_rlvect_1(k15_euclid(2), B, D)))=k2_xcmplx_0(k3_xcmplx_0(C, k18_euclid(A)), k3_xcmplx_0(D, k18_euclid(B)))) ) ) ) ) ) ) ) ) ).
fof(t5_menelaus, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (v1_xreal_0(B) =>  (k17_euclid(k1_rlvect_1(k15_euclid(2), A, k4_xcmplx_0(B)))=k4_xcmplx_0(k3_xcmplx_0(B, k17_euclid(A))) & k18_euclid(k1_rlvect_1(k15_euclid(2), A, k4_xcmplx_0(B)))=k4_xcmplx_0(k3_xcmplx_0(B, k18_euclid(A)))) ) ) ) ) ).
fof(t6_menelaus, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (k17_euclid(k5_algstr_0(k15_euclid(2), k1_rlvect_1(k15_euclid(2), A, C), k1_rlvect_1(k15_euclid(2), B, D)))=k6_xcmplx_0(k3_xcmplx_0(C, k17_euclid(A)), k3_xcmplx_0(D, k17_euclid(B))) & k18_euclid(k5_algstr_0(k15_euclid(2), k1_rlvect_1(k15_euclid(2), A, C), k1_rlvect_1(k15_euclid(2), B, D)))=k6_xcmplx_0(k3_xcmplx_0(C, k18_euclid(A)), k3_xcmplx_0(D, k18_euclid(B)))) ) ) ) ) ) ) ) ) ).
fof(t7_menelaus, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) => k1_euclid_6(k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), A, k6_xcmplx_0(1, E)), k1_rlvect_1(k15_euclid(2), D, E)), B, C)=k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(1, E), k1_euclid_6(A, B, C)), k3_xcmplx_0(E, k1_euclid_6(D, B, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t8_menelaus, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (k4_euclid_3(A, B, C)=k5_numbers &  (r1_zfmisc_1(A, B, C) &  ( ~ (k4_euclid_3(B, C, A)=k28_sin_cos)  &  ~ (k4_euclid_3(B, A, C)=k28_sin_cos) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_menelaus, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r1_rltopsp1(k15_euclid(2), A, B, C) <=> k1_euclid_6(A, B, C)=k5_numbers) ) ) ) ) ) ) ).
fof(t10_menelaus, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => k1_euclid_6(k4_struct_0(k15_euclid(2)), A, B)=k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k17_euclid(A), k18_euclid(B)), k3_xcmplx_0(k17_euclid(B), k18_euclid(A))), 2)) ) ) ) ).
fof(t11_menelaus, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) => k1_euclid_6(k3_rlvect_1(k15_euclid(2), A, D), B, C)=k6_xcmplx_0(k2_xcmplx_0(k1_euclid_6(A, B, C), k1_euclid_6(D, B, C)), k1_euclid_6(k4_struct_0(k15_euclid(2)), B, C))) ) ) ) ) ) ) ) ).
fof(t12_menelaus, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(A, k1_rltopsp1(k15_euclid(2), B, C)) => r2_tarski(A, k5_rltopsp1(k15_euclid(2), B, C))) ) ) ) ) ) ) ).
fof(t13_menelaus, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (B=C)  =>  (r1_rltopsp1(k15_euclid(2), A, B, C) <=> r2_tarski(A, k5_rltopsp1(k15_euclid(2), B, C))) ) ) ) ) ) ) ) ).
fof(t14_menelaus, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  &  (D=k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), B, k6_xcmplx_0(1, E)), k1_rlvect_1(k15_euclid(2), C, E)) & A=D) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_menelaus, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( ~ (r1_rltopsp1(k15_euclid(2), A, B, C))  =>  ( ~ (r1_rltopsp1(k15_euclid(2), A, C, B))  &  ( ~ (r1_rltopsp1(k15_euclid(2), B, A, C))  &  ( ~ (r1_rltopsp1(k15_euclid(2), B, C, A))  &  ( ~ (r1_rltopsp1(k15_euclid(2), C, A, B))  &  ~ (r1_rltopsp1(k15_euclid(2), C, B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_menelaus, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ( (D=k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), B, k6_xcmplx_0(1, F)), k1_rlvect_1(k15_euclid(2), C, F)) & E=k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), C, k6_xcmplx_0(1, G)), k1_rlvect_1(k15_euclid(2), A, G)))  =>  (r1_rltopsp1(k15_euclid(2), A, B, C) |  (G=1 |  ( ~ ( ( ~ (k2_xcmplx_0(k6_xcmplx_0(1, G), k3_xcmplx_0(F, G))=k5_numbers)  & r1_xboole_0(k5_rltopsp1(k15_euclid(2), A, D), k5_rltopsp1(k15_euclid(2), B, E))) )  &  ~ ( ( ~ (r1_xboole_0(k5_rltopsp1(k15_euclid(2), A, D), k5_rltopsp1(k15_euclid(2), B, E)))  & k2_xcmplx_0(k6_xcmplx_0(1, G), k3_xcmplx_0(F, G))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_menelaus, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  ( (D=k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), B, k6_xcmplx_0(1, G)), k1_rlvect_1(k15_euclid(2), C, G)) &  (E=k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), C, k6_xcmplx_0(1, H)), k1_rlvect_1(k15_euclid(2), A, H)) & F=k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), A, k6_xcmplx_0(1, I)), k1_rlvect_1(k15_euclid(2), B, I))) )  => k1_euclid_6(D, E, F)=k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(1, G), k6_xcmplx_0(1, H)), k6_xcmplx_0(1, I)), k3_xcmplx_0(k3_xcmplx_0(G, H), I)), k1_euclid_6(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_menelaus, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  ( (D=k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), B, k6_xcmplx_0(1, G)), k1_rlvect_1(k15_euclid(2), C, G)) &  (E=k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), C, k6_xcmplx_0(1, H)), k1_rlvect_1(k15_euclid(2), A, H)) & F=k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), A, k6_xcmplx_0(1, I)), k1_rlvect_1(k15_euclid(2), B, I))) )  =>  (r1_rltopsp1(k15_euclid(2), A, B, C) |  (G=1 |  (H=1 |  (I=1 |  (r1_rltopsp1(k15_euclid(2), D, E, F) <=> k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(G, k6_xcmplx_0(1, G)), k7_xcmplx_0(H, k6_xcmplx_0(1, H))), k7_xcmplx_0(I, k6_xcmplx_0(1, I)))=k4_xcmplx_0(1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_menelaus, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(2))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k15_euclid(2))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k15_euclid(2))) =>  (! [J] :  (v1_xreal_0(J) =>  (! [K] :  (v1_xreal_0(K) =>  (! [L] :  (v1_xreal_0(L) =>  ( (D=k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), B, k6_xcmplx_0(1, J)), k1_rlvect_1(k15_euclid(2), C, J)) &  (E=k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), C, k6_xcmplx_0(1, K)), k1_rlvect_1(k15_euclid(2), A, K)) &  (F=k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), A, k6_xcmplx_0(1, L)), k1_rlvect_1(k15_euclid(2), B, L)) &  (r2_rltopsp1(k15_euclid(2), A, D, H, I) &  (r2_rltopsp1(k15_euclid(2), B, E, G, I) & r2_rltopsp1(k15_euclid(2), C, F, G, H)) ) ) ) )  =>  (r1_rltopsp1(k15_euclid(2), A, B, C) |  (J=1 |  (K=1 |  (L=1 |  ( ~ (k3_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(1, K), k3_xcmplx_0(J, K)), k2_xcmplx_0(k6_xcmplx_0(1, J), k3_xcmplx_0(L, J))), k2_xcmplx_0(k6_xcmplx_0(1, L), k3_xcmplx_0(K, L)))=k5_numbers)  & k1_euclid_6(G, H, I)=k3_xcmplx_0(k7_xcmplx_0(k1_square_1(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(K, L), J), k3_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(1, K), k6_xcmplx_0(1, L)), k6_xcmplx_0(1, J)))), k3_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(1, K), k3_xcmplx_0(J, K)), k2_xcmplx_0(k6_xcmplx_0(1, J), k3_xcmplx_0(L, J))), k2_xcmplx_0(k6_xcmplx_0(1, L), k3_xcmplx_0(K, L)))), k1_euclid_6(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_menelaus, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(2))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k15_euclid(2))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k15_euclid(2))) =>  ( (D=k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), B, k7_xcmplx_0(2, 3)), k1_rlvect_1(k15_euclid(2), C, k7_xcmplx_0(1, 3))) &  (E=k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), C, k7_xcmplx_0(2, 3)), k1_rlvect_1(k15_euclid(2), A, k7_xcmplx_0(1, 3))) &  (F=k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), A, k7_xcmplx_0(2, 3)), k1_rlvect_1(k15_euclid(2), B, k7_xcmplx_0(1, 3))) &  (r2_rltopsp1(k15_euclid(2), A, D, H, I) &  (r2_rltopsp1(k15_euclid(2), B, E, G, I) & r2_rltopsp1(k15_euclid(2), C, F, G, H)) ) ) ) )  =>  (r1_rltopsp1(k15_euclid(2), A, B, C) | k1_euclid_6(G, H, I)=k7_xcmplx_0(k1_euclid_6(A, B, C), 7)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_menelaus, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  ( (D=k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), B, k6_xcmplx_0(1, G)), k1_rlvect_1(k15_euclid(2), C, G)) &  (E=k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), C, k6_xcmplx_0(1, H)), k1_rlvect_1(k15_euclid(2), A, H)) & F=k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), A, k6_xcmplx_0(1, I)), k1_rlvect_1(k15_euclid(2), B, I))) )  =>  (r1_rltopsp1(k15_euclid(2), A, B, C) |  (G=1 |  (H=1 |  (I=1 |  (k2_xcmplx_0(k6_xcmplx_0(1, H), k3_xcmplx_0(G, H))=k5_numbers |  (k2_xcmplx_0(k6_xcmplx_0(1, G), k3_xcmplx_0(I, G))=k5_numbers |  (k2_xcmplx_0(k6_xcmplx_0(1, I), k3_xcmplx_0(H, I))=k5_numbers |  (k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(G, k6_xcmplx_0(1, G)), k7_xcmplx_0(H, k6_xcmplx_0(1, H))), k7_xcmplx_0(I, k6_xcmplx_0(1, I)))=1 <=>  (? [J] :  (m1_subset_1(J, u1_struct_0(k15_euclid(2))) &  (r1_rltopsp1(k15_euclid(2), A, D, J) &  (r1_rltopsp1(k15_euclid(2), B, E, J) & r1_rltopsp1(k15_euclid(2), C, F, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_menelaus, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(2))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(2))) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  ( (D=k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), B, k6_xcmplx_0(1, G)), k1_rlvect_1(k15_euclid(2), C, G)) &  (E=k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), C, k6_xcmplx_0(1, H)), k1_rlvect_1(k15_euclid(2), A, H)) & F=k3_rlvect_1(k15_euclid(2), k1_rlvect_1(k15_euclid(2), A, k6_xcmplx_0(1, I)), k1_rlvect_1(k15_euclid(2), B, I))) )  =>  (r1_rltopsp1(k15_euclid(2), A, B, C) |  (G=1 |  (H=1 |  (I=1 |  (k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(G, k6_xcmplx_0(1, G)), k7_xcmplx_0(H, k6_xcmplx_0(1, H))), k7_xcmplx_0(I, k6_xcmplx_0(1, I)))=1 <=> r1_menelaus(k5_rltopsp1(k15_euclid(2), A, D), k5_rltopsp1(k15_euclid(2), B, E), k5_rltopsp1(k15_euclid(2), C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_mesfun10, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k12_supinf_2(A, C), k12_supinf_2(B, C))) )  => r1_xxreal_0(k7_supinf_2(k15_supinf_2(A)), k7_supinf_2(k15_supinf_2(B)))) ) ) ) ) ).
fof(t2_mesfun10, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k12_supinf_2(A, D), k12_supinf_2(B, D))) )  =>  (r1_xxreal_0(k12_supinf_2(k3_rinfsup2(A), C), k12_supinf_2(k3_rinfsup2(B), C)) & r1_xxreal_0(k12_supinf_2(k4_rinfsup2(A), C), k12_supinf_2(k4_rinfsup2(B), C))) ) ) ) ) ) ) ) ).
fof(t3_mesfun10, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k12_supinf_2(A, C), k12_supinf_2(B, C))) )  =>  (r1_xxreal_0(k6_rinfsup2(A), k6_rinfsup2(B)) & r1_xxreal_0(k5_rinfsup2(A), k5_rinfsup2(B))) ) ) ) ) ) ).
fof(t4_mesfun10, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  (m1_subset_1(B, k6_numbers) =>  ( (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(B, k12_supinf_2(A, C))) )  => r1_xxreal_0(B, k2_rinfsup2(A))) ) ) ) ) ).
fof(t5_mesfun10, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  (m1_subset_1(B, k6_numbers) =>  ( (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k12_supinf_2(A, C), B)) )  => r1_xxreal_0(k1_rinfsup2(A), B)) ) ) ) ) ).
fof(t6_mesfun10, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) &  (v1_mesfunc8(B, A, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r2_tarski(C, k1_relset_1(A, k1_mesfunc8(A, k1_valued_0(k4_partfun1(A, k6_numbers), B, D)))) => k12_supinf_2(k1_mesfunc8(A, k1_valued_0(k4_partfun1(A, k6_numbers), B, D)), C)=k2_rinfsup2(k1_valued_0(k6_numbers, k3_mesfunc5(A, B, C), D))) ) ) ) ) ) ) ) ) ).
fof(t7_mesfun10, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) &  (v1_mesfunc8(B, A, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, C, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [E] :  (m1_subset_1(E, C) =>  ~ ( (E=k1_relset_1(A, k4_mesfunc5(A, k6_numbers, B, k5_numbers)) &  ( (! [F] :  (v7_ordinal1(F) =>  (v6_supinf_2(k4_mesfunc5(A, k6_numbers, B, F)) & r1_mesfunc1(A, C, k4_mesfunc5(A, k6_numbers, B, F), E)) ) )  &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k6_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ~ ( ( (! [G] :  (v7_ordinal1(G) => k12_supinf_2(F, G)=k7_mesfunc5(A, C, D, k4_mesfunc5(A, k6_numbers, B, G))) )  & r1_xxreal_0(k7_mesfunc5(A, C, D, k5_mesfunc8(A, B)), k6_rinfsup2(F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_mesfun10, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k6_numbers)))  =>  (! [B] :  (m1_subset_1(B, k6_numbers) =>  (r2_tarski(B, k1_numbers) => k8_supinf_2(k5_supinf_2(k6_domain_1(k6_numbers, B), A))=k3_supinf_2(k8_supinf_2(k6_domain_1(k6_numbers, B)), k8_supinf_2(A))) ) ) ) ) ).
fof(t9_mesfun10, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k6_numbers)))  =>  (! [B] :  (m1_subset_1(B, k6_numbers) =>  (r2_tarski(B, k1_numbers) => k7_supinf_2(k5_supinf_2(k6_domain_1(k6_numbers, B), A))=k3_supinf_2(k7_supinf_2(k6_domain_1(k6_numbers, B)), k7_supinf_2(A))) ) ) ) ) ).
fof(t10_mesfun10, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [C] :  (m1_subset_1(C, k6_numbers) =>  ( (r2_tarski(C, k1_numbers) &  (! [D] :  (v7_ordinal1(D) => k12_supinf_2(A, D)=k3_supinf_2(C, k12_supinf_2(B, D))) ) )  =>  (k6_rinfsup2(A)=k3_supinf_2(C, k6_rinfsup2(B)) & k5_rinfsup2(A)=k3_supinf_2(C, k5_rinfsup2(B))) ) ) ) ) ) ) ) ).
fof(t11_mesfun10, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (k1_relset_1(A, k4_mesfunc5(A, k6_numbers, B, k5_numbers))=k1_relset_1(A, k4_mesfunc5(A, k6_numbers, C, k5_numbers)) &  (v1_mesfunc8(B, A, k6_numbers) &  (k8_relset_1(A, k6_numbers, D, k6_domain_1(k6_numbers, k1_supinf_1))=k1_xboole_0 &  (k8_relset_1(A, k6_numbers, D, k6_domain_1(k6_numbers, k2_supinf_1))=k1_xboole_0 &  (! [E] :  (v7_ordinal1(E) => r2_relset_1(A, k6_numbers, k4_mesfunc5(A, k6_numbers, B, E), k3_mesfunc1(A, D, k4_mesfunc5(A, k6_numbers, C, E)))) ) ) ) ) )  =>  (r2_relset_1(A, k6_numbers, k5_mesfunc8(A, B), k3_mesfunc1(A, D, k5_mesfunc8(A, C))) & r2_relset_1(A, k6_numbers, k6_mesfunc8(A, B), k3_mesfunc1(A, D, k6_mesfunc8(A, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t12_mesfun10, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (r1_mesfunc5(A, B, C, D) & r1_mesfunc5(A, B, C, E))  => r1_mesfunc5(A, B, C, k4_mesfunc1(A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_mesfun10, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ~ ( (r1_mesfunc5(A, B, C, D) &  (r1_mesfunc5(A, B, C, E) &  (! [F] :  (m1_subset_1(F, B) =>  ~ ( (F=k9_subset_1(A, k1_relset_1(A, D), k1_relset_1(A, E)) & k7_mesfunc5(A, B, C, k4_mesfunc1(A, D, E))=k3_supinf_2(k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, F)), k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, k7_mesfunc1(A, E), F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_mesfun10, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( (! [C] :  (v7_ordinal1(C) => k12_supinf_2(A, C)=k2_supinf_2(k12_supinf_2(B, C))) )  =>  (k6_rinfsup2(B)=k2_supinf_2(k5_rinfsup2(A)) & k5_rinfsup2(B)=k2_supinf_2(k6_rinfsup2(A))) ) ) ) ) ) ).
fof(t15_mesfun10, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  ( (k1_relset_1(A, k4_mesfunc5(A, k6_numbers, B, k5_numbers))=k1_relset_1(A, k4_mesfunc5(A, k6_numbers, C, k5_numbers)) &  (v1_mesfunc8(B, A, k6_numbers) &  (! [D] :  (v7_ordinal1(D) => r2_relset_1(A, k6_numbers, k4_mesfunc5(A, k6_numbers, B, D), k7_mesfunc1(A, k4_mesfunc5(A, k6_numbers, C, D)))) ) ) )  =>  (r2_relset_1(A, k6_numbers, k5_mesfunc8(A, B), k7_mesfunc1(A, k6_mesfunc8(A, C))) & r2_relset_1(A, k6_numbers, k6_mesfunc8(A, B), k7_mesfunc1(A, k5_mesfunc8(A, C)))) ) ) ) ) ) ) ) ).
fof(t16_mesfun10, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) &  (v1_mesfunc8(B, A, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, C, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [E] :  (m1_subset_1(E, C) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (E=k1_relset_1(A, k4_mesfunc5(A, k6_numbers, B, k5_numbers)) &  (E=k1_relset_1(A, F) &  ( (! [G] :  (v7_ordinal1(G) => r1_mesfunc1(A, C, k4_mesfunc5(A, k6_numbers, B, G), E)) )  &  (r1_mesfunc5(A, C, D, F) &  (! [G] :  (m1_subset_1(G, A) =>  (! [H] :  (v7_ordinal1(H) =>  (r2_tarski(G, E) => r1_xxreal_0(k12_supinf_2(k9_mesfunc1(A, k4_mesfunc5(A, k6_numbers, B, H)), G), k12_supinf_2(F, G))) ) ) ) ) ) ) ) )  =>  ( (! [G] :  (v7_ordinal1(G) => r1_mesfunc5(A, C, D, k9_mesfunc1(A, k4_mesfunc5(A, k6_numbers, B, G)))) )  &  (r1_mesfunc5(A, C, D, k9_mesfunc1(A, k5_mesfunc8(A, B))) & r1_mesfunc5(A, C, D, k9_mesfunc1(A, k6_mesfunc8(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_mesfun10, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) &  (v1_mesfunc8(B, A, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, C, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [E] :  (m1_subset_1(E, C) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ~ ( (E=k1_relset_1(A, k4_mesfunc5(A, k6_numbers, B, k5_numbers)) &  (E=k1_relset_1(A, F) &  ( (! [G] :  (v7_ordinal1(G) => r1_mesfunc1(A, C, k4_mesfunc5(A, k6_numbers, B, G), E)) )  &  (r1_mesfunc5(A, C, D, F) &  (v6_supinf_2(F) &  ( (! [G] :  (m1_subset_1(G, A) =>  (! [H] :  (v7_ordinal1(H) =>  (r2_tarski(G, E) => r1_xxreal_0(k12_supinf_2(k9_mesfunc1(A, k4_mesfunc5(A, k6_numbers, B, H)), G), k12_supinf_2(F, G))) ) ) ) )  &  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, k6_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ~ ( ( (! [H] :  (v7_ordinal1(H) => k12_supinf_2(G, H)=k7_mesfunc5(A, C, D, k4_mesfunc5(A, k6_numbers, B, H))) )  &  (r1_xxreal_0(k7_mesfunc5(A, C, D, k5_mesfunc8(A, B)), k6_rinfsup2(G)) &  (r1_xxreal_0(k5_rinfsup2(G), k7_mesfunc5(A, C, D, k6_mesfunc8(A, B))) &  ( (! [H] :  (m1_subset_1(H, A) =>  (r2_tarski(H, E) => v10_mesfunc5(k3_mesfunc5(A, B, H))) ) )  =>  (v10_mesfunc5(G) & k2_mesfunc5(G)=k7_mesfunc5(A, C, D, k7_mesfunc8(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_mesfun10, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) &  (v1_mesfunc8(B, A, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, C, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [E] :  (m1_subset_1(E, C) =>  ~ ( (E=k1_relset_1(A, k4_mesfunc5(A, k6_numbers, B, k5_numbers)) &  ( (! [F] :  (v7_ordinal1(F) =>  (v6_supinf_2(k4_mesfunc5(A, k6_numbers, B, F)) & r1_mesfunc1(A, C, k4_mesfunc5(A, k6_numbers, B, F), E)) ) )  &  ( (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (v7_ordinal1(H) =>  ( (r2_tarski(F, E) & r1_xxreal_0(G, H))  => r1_xxreal_0(k12_supinf_2(k4_mesfunc5(A, k6_numbers, B, H), F), k12_supinf_2(k4_mesfunc5(A, k6_numbers, B, G), F))) ) ) ) ) ) )  &  ( ~ (r1_xxreal_0(k1_supinf_1, k7_mesfunc5(A, C, D, k2_partfun1(A, k6_numbers, k4_mesfunc5(A, k6_numbers, B, k5_numbers), E))))  &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k6_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ~ ( ( (! [G] :  (v7_ordinal1(G) => k12_supinf_2(F, G)=k7_mesfunc5(A, C, D, k4_mesfunc5(A, k6_numbers, B, G))) )  &  (v10_mesfunc5(F) & k2_mesfunc5(F)=k7_mesfunc5(A, C, D, k7_mesfunc8(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_mesfun10, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (v1_mesfun10(B, A) <=>  (? [C] :  (v1_xreal_0(C) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (r2_tarski(E, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, B, k5_numbers))) => r1_xxreal_0(k3_extreal1(k12_supinf_2(k4_mesfunc5(A, k6_numbers, B, D), E)), C)) ) ) ) ) ) ) ) ) ) ).
fof(t19_mesfun10, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) &  (v1_mesfunc8(B, A, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, C, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [E] :  (m1_subset_1(E, C) =>  ( (E=k1_relset_1(A, k4_mesfunc5(A, k6_numbers, B, k5_numbers)) &  ( (! [F] :  (v7_ordinal1(F) => r1_mesfunc1(A, C, k4_mesfunc5(A, k6_numbers, B, F), E)) )  &  (v1_mesfun10(B, A) &  (! [F] :  (m1_subset_1(F, A) =>  (r2_tarski(F, E) => v10_mesfunc5(k3_mesfunc5(A, B, F))) ) ) ) ) )  =>  (r1_xxreal_0(k1_supinf_1, k12_supinf_2(D, E)) |  ( (! [F] :  (v7_ordinal1(F) => r1_mesfunc5(A, C, D, k4_mesfunc5(A, k6_numbers, B, F))) )  &  (r1_mesfunc5(A, C, D, k7_mesfunc8(A, B)) &  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k6_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  &  ( (! [G] :  (v7_ordinal1(G) => k12_supinf_2(F, G)=k7_mesfunc5(A, C, D, k4_mesfunc5(A, k6_numbers, B, G))) )  &  (v10_mesfunc5(F) & k2_mesfunc5(F)=k7_mesfunc5(A, C, D, k7_mesfunc8(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_mesfun10, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (r1_mesfun10(A, B, C) <=>  (v1_mesfunc8(B, A, k6_numbers) &  (k1_relset_1(A, k4_mesfunc5(A, k6_numbers, B, k5_numbers))=k1_relset_1(A, C) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v7_ordinal1(E) =>  (? [F] :  (v7_ordinal1(F) &  (? [G] :  (r1_xxreal_0(E, F) &  (r2_tarski(G, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, B, k5_numbers))) & r1_xxreal_0(D, k3_extreal1(k4_supinf_2(k12_supinf_2(k4_mesfunc5(A, k6_numbers, B, F), G), k12_supinf_2(C, G))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_mesfun10, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (r1_mesfun10(A, B, C) =>  (! [D] :  (m1_subset_1(D, A) =>  (r2_tarski(D, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, B, k5_numbers))) =>  (v10_mesfunc5(k3_mesfunc5(A, B, D)) & k2_mesfunc5(k3_mesfunc5(A, B, D))=k12_supinf_2(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_mesfun10, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) &  (v1_mesfunc8(B, A, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, C, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [E] :  (m1_subset_1(E, C) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (E=k1_relset_1(A, k4_mesfunc5(A, k6_numbers, B, k5_numbers)) &  ( (! [G] :  (v7_ordinal1(G) => r1_mesfunc5(A, C, D, k4_mesfunc5(A, k6_numbers, B, G))) )  & r1_mesfun10(A, B, F)) )  =>  (r1_xxreal_0(k1_supinf_1, k12_supinf_2(D, E)) |  (r1_mesfunc5(A, C, D, F) &  (? [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, k6_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  &  ( (! [H] :  (v7_ordinal1(H) => k12_supinf_2(G, H)=k7_mesfunc5(A, C, D, k4_mesfunc5(A, k6_numbers, B, H))) )  &  (v10_mesfunc5(G) & k2_mesfunc5(G)=k7_mesfunc5(A, C, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_mesfun11, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v6_supinf_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) )  =>  (v1_funct_1(k7_mesfunc1(A, B)) & v2_mesfunc5(k7_mesfunc1(A, B))) ) ) ).
fof(fc2_mesfun11, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v2_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) )  =>  (v1_funct_1(k7_mesfunc1(A, B)) & v6_supinf_2(k7_mesfunc1(A, B))) ) ) ).
fof(fc3_mesfun11, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) &  (v4_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) )  &  (v1_xreal_0(C) &  ~ (v3_xxreal_0(C)) ) ) )  =>  (v1_funct_1(k6_mesfunc1(A, B, C)) &  (v1_funct_2(k6_mesfunc1(A, B, C), A, k6_numbers) & v4_mesfunc5(k6_mesfunc1(A, B, C))) ) ) ) ).
fof(fc4_mesfun11, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) &  (v4_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) )  &  (v1_xreal_0(C) &  ~ (v2_xxreal_0(C)) ) ) )  =>  (v1_funct_1(k6_mesfunc1(A, B, C)) & v3_mesfunc5(k6_mesfunc1(A, B, C))) ) ) ).
fof(fc5_mesfun11, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) &  (v3_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) )  &  (v1_xreal_0(C) &  ~ (v3_xxreal_0(C)) ) ) )  =>  (v1_funct_1(k6_mesfunc1(A, B, C)) & v3_mesfunc5(k6_mesfunc1(A, B, C))) ) ) ).
fof(fc6_mesfun11, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) &  (v3_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) )  &  (v1_xreal_0(C) &  ~ (v2_xxreal_0(C)) ) ) )  =>  (v1_funct_1(k6_mesfunc1(A, B, C)) & v4_mesfunc5(k6_mesfunc1(A, B, C))) ) ) ).
fof(fc7_mesfun11, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) &  (v3_mesfunc5(B) &  (v4_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) )  & v1_xreal_0(C)) )  =>  (v1_funct_1(k6_mesfunc1(A, B, C)) &  (v3_mesfunc5(k6_mesfunc1(A, B, C)) & v4_mesfunc5(k6_mesfunc1(A, B, C))) ) ) ) ).
fof(t1_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v2_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  (! [C] : v2_mesfunc5(k2_partfun1(A, k6_numbers, B, C))) ) ) ) ) ).
fof(t2_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  => r2_relset_1(A, k6_numbers, k2_partfun1(A, k6_numbers, k6_mesfunc1(A, D, C), B), k6_mesfunc1(A, k2_partfun1(A, k6_numbers, D, B), C))) ) ) ) ) ) ) ).
fof(t3_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  => r2_relset_1(A, k6_numbers, k7_mesfunc1(A, k2_partfun1(A, k6_numbers, C, B)), k2_partfun1(A, k6_numbers, k7_mesfunc1(A, C), B))) ) ) ) ) ).
fof(t4_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  (v2_mesfunc5(B) =>  ( (r1_xxreal_0(k5_numbers, C) => v2_mesfunc5(k6_mesfunc1(A, B, C)))  &  (r1_xxreal_0(C, k5_numbers) => v6_supinf_2(k6_mesfunc1(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t5_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (v6_supinf_2(k1_mesfunc2(A, D)) &  (v6_supinf_2(k2_mesfunc2(A, D)) & v6_supinf_2(k9_mesfunc1(A, D))) ) ) ) ) ) ) ) ) ) ).
fof(t6_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  (r1_xxreal_0(k1_funct_1(B, C), k1_funct_1(k1_mesfunc2(A, B), C)) & r1_xxreal_0(k2_xxreal_3(k1_funct_1(k2_mesfunc2(A, B), C)), k1_funct_1(B, C))) ) ) ) ) ) ).
fof(t7_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  ( (v1_xreal_0(C) & v2_xxreal_0(C))  => k14_mesfunc1(A, B, C)=k14_mesfunc1(A, k1_mesfunc2(A, B), C)) ) ) ) ) ) ).
fof(t8_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  ( (v1_xreal_0(C) &  ~ (v2_xxreal_0(C)) )  => k14_mesfunc1(A, B, C)=k16_mesfunc1(A, k2_mesfunc2(A, B), k2_xxreal_3(C))) ) ) ) ) ) ).
fof(t9_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [D] :  (v1_xxreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (r2_relset_1(A, k6_numbers, C, k6_mesfunc1(A, B, E)) =>  (E=k5_numbers | k18_mesfunc1(A, B, D)=k18_mesfunc1(A, C, k4_xxreal_3(D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [D] :  (m1_subset_1(D, B) =>  (r1_tarski(D, k1_relset_1(A, C)) =>  (r1_mesfunc1(A, B, C, D) <=>  (r1_mesfunc1(A, B, k1_mesfunc2(A, C), D) & r1_mesfunc1(A, B, k2_mesfunc2(A, C), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k6_numbers) &  (v4_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) )  =>  (r1_xxreal_0(k5_numbers, B) => v4_mesfunc5(k1_mesfun11(A, C, B))) ) ) ) ) ) ) ).
fof(t12_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k6_numbers) &  (v4_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) )  =>  (r1_xxreal_0(B, k5_numbers) => v3_mesfunc5(k1_mesfun11(A, C, B))) ) ) ) ) ) ) ).
fof(t13_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k6_numbers) &  (v3_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) )  =>  (r1_xxreal_0(k5_numbers, B) => v3_mesfunc5(k1_mesfun11(A, C, B))) ) ) ) ) ) ) ).
fof(t14_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k6_numbers) &  (v3_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) )  =>  (r1_xxreal_0(B, k5_numbers) => v4_mesfunc5(k1_mesfun11(A, C, B))) ) ) ) ) ) ) ).
fof(t15_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k6_numbers) &  (v3_mesfunc5(C) &  (v4_mesfunc5(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) )  =>  (v3_mesfunc5(k1_mesfun11(A, C, B)) & v4_mesfunc5(k1_mesfun11(A, C, B))) ) ) ) ) ) ) ).
fof(t16_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_xreal_0(B) & v2_xxreal_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  (v4_mesfunc5(C) <=> v4_mesfunc5(k1_mesfun11(A, C, B))) ) ) ) ) ) ) ).
fof(t17_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_xreal_0(B) & v3_xxreal_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  (v4_mesfunc5(C) <=> v3_mesfunc5(k1_mesfun11(A, C, B))) ) ) ) ) ) ) ).
fof(t18_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_xreal_0(B) & v2_xxreal_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  (v3_mesfunc5(C) <=> v3_mesfunc5(k1_mesfun11(A, C, B))) ) ) ) ) ) ) ).
fof(t19_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_xreal_0(B) & v3_xxreal_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  (v3_mesfunc5(C) <=> v4_mesfunc5(k1_mesfun11(A, C, B))) ) ) ) ) ) ) ).
fof(t20_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & v1_xreal_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  ( ( (v3_mesfunc5(C) & v4_mesfunc5(C))  =>  (v3_mesfunc5(k1_mesfun11(A, C, B)) & v4_mesfunc5(k1_mesfun11(A, C, B))) )  &  ( (v3_mesfunc5(k1_mesfun11(A, C, B)) & v4_mesfunc5(k1_mesfun11(A, C, B)))  =>  (v3_mesfunc5(C) & v4_mesfunc5(C)) ) ) ) ) ) ) ) ) ).
fof(t21_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [D] :  (v1_xreal_0(D) =>  (C=k7_funcop_1(B, D) =>  (v3_mesfunc5(C) & v4_mesfunc5(C)) ) ) ) ) ) ) ) ) ) ).
fof(t22_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  (r1_funct_2(A, k6_numbers, A, k4_ordinal1, k1_mesfun11(A, B, k5_numbers), k8_funcop_1(k4_ordinal1, A, k5_numbers)) &  (v3_mesfunc5(k1_mesfun11(A, B, k5_numbers)) & v4_mesfunc5(k1_mesfun11(A, B, k5_numbers))) ) ) ) ) ) ).
fof(t23_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (v3_mesfunc5(B) & v4_mesfunc5(B))  =>  (k1_relset_1(A, k3_mesfunc1(A, B, C))=k9_subset_1(A, k1_relset_1(A, B), k1_relset_1(A, C)) &  (k1_relset_1(A, k4_mesfunc1(A, B, C))=k9_subset_1(A, k1_relset_1(A, B), k1_relset_1(A, C)) & k1_relset_1(A, k4_mesfunc1(A, C, B))=k9_subset_1(A, k1_relset_1(A, B), k1_relset_1(A, C))) ) ) ) ) ) ) ) ) ).
fof(t24_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  ( (v3_mesfunc5(C) & v4_mesfunc5(C))  =>  ( (v1_funct_1(k3_mesfunc1(A, B, C)) &  (v1_funct_2(k3_mesfunc1(A, B, C), A, k6_numbers) & m1_subset_1(k3_mesfunc1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  &  (! [D] :  (m1_subset_1(D, A) => k12_supinf_2(k3_mesfunc1(A, B, C), D)=k3_supinf_2(k12_supinf_2(B, D), k12_supinf_2(C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t25_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  ( (v3_mesfunc5(B) & v4_mesfunc5(B))  =>  ( (v1_funct_1(k4_mesfunc1(A, B, C)) &  (v1_funct_2(k4_mesfunc1(A, B, C), A, k6_numbers) & m1_subset_1(k4_mesfunc1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  &  (! [D] :  (m1_subset_1(D, A) => k12_supinf_2(k4_mesfunc1(A, B, C), D)=k4_supinf_2(k12_supinf_2(B, D), k12_supinf_2(C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t26_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  ( (v3_mesfunc5(C) & v4_mesfunc5(C))  =>  ( (v1_funct_1(k4_mesfunc1(A, B, C)) &  (v1_funct_2(k4_mesfunc1(A, B, C), A, k6_numbers) & m1_subset_1(k4_mesfunc1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  &  (! [D] :  (m1_subset_1(D, A) => k12_supinf_2(k4_mesfunc1(A, B, C), D)=k4_supinf_2(k12_supinf_2(B, D), k12_supinf_2(C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t27_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (r1_tarski(k1_relset_1(A, C), B) & D=k8_funcop_1(k4_ordinal1, B, k5_numbers))  =>  (r2_relset_1(A, k6_numbers, k3_mesfunc1(A, C, D), C) &  (r2_relset_1(A, k6_numbers, k4_mesfunc1(A, C, D), C) & r2_relset_1(A, k6_numbers, k4_mesfunc1(A, D, C), k7_mesfunc1(A, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (r1_mesfunc2(A, B, D) & r1_mesfunc2(A, B, E))  => r1_mesfunc2(A, B, k3_mesfunc1(A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (r1_mesfunc2(A, B, D) & r1_mesfunc2(A, B, E))  => r1_mesfunc2(A, B, k4_mesfunc1(A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (r1_mesfunc2(A, B, C) => r1_mesfunc2(A, B, k7_mesfunc1(A, C))) ) ) ) ) ) ) ).
fof(t31_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v6_supinf_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  => r2_relset_1(A, k6_numbers, B, k1_mesfunc2(A, B))) ) ) ) ).
fof(t32_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v2_mesfunc5(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  => r2_relset_1(A, k6_numbers, B, k7_mesfunc1(A, k2_mesfunc2(A, B)))) ) ) ) ).
fof(t33_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  (r1_xxreal_0(C, k5_numbers) =>  (r2_relset_1(A, k6_numbers, k1_mesfunc2(A, k6_mesfunc1(A, B, C)), k6_mesfunc1(A, k2_mesfunc2(A, B), k2_xxreal_3(C))) & r2_relset_1(A, k6_numbers, k2_mesfunc2(A, k6_mesfunc1(A, B, C)), k6_mesfunc1(A, k1_mesfunc2(A, B), k2_xxreal_3(C)))) ) ) ) ) ) ) ) ).
fof(t34_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  => r2_relset_1(A, k6_numbers, k1_mesfunc2(A, B), k2_mesfunc2(A, k7_mesfunc1(A, B)))) ) ) ) ).
fof(t35_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => r2_relset_1(A, k6_numbers, k6_mesfunc1(A, k6_mesfunc1(A, B, D), C), k6_mesfunc1(A, B, k4_xxreal_3(C, D)))) ) ) ) ) ) ) ) ).
fof(t36_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (r2_relset_1(A, k6_numbers, B, k7_mesfunc1(A, C)) => r2_relset_1(A, k6_numbers, C, k7_mesfunc1(A, B))) ) ) ) ) ) ) ).
fof(d1_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (D=k2_mesfun11(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) => r2_relset_1(A, k6_numbers, k4_mesfunc5(A, k6_numbers, D, E), k6_mesfunc1(A, k4_mesfunc5(A, k6_numbers, B, E), C))) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  => k3_mesfun11(A, B)=k2_mesfun11(A, B, k2_xxreal_3(1))) ) ) ) ).
fof(t37_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  (v7_ordinal1(C) => r2_relset_1(A, k6_numbers, k4_mesfunc5(A, k6_numbers, k3_mesfun11(A, B), C), k7_mesfunc1(A, k4_mesfunc5(A, k6_numbers, B, C)))) ) ) ) ) ) ).
fof(t38_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  (m1_subset_1(C, A) => r2_funct_2(k4_ordinal1, k6_numbers, k3_mesfunc5(A, k3_mesfun11(A, B), C), k1_dblseq_3(k4_ordinal1, k3_mesfunc5(A, B, C)))) ) ) ) ) ) ).
fof(t39_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  ( (v8_mesfunc5(k3_mesfunc5(A, B, C)) => v9_mesfunc5(k3_mesfunc5(A, k3_mesfun11(A, B), C)))  &  ( (v9_mesfunc5(k3_mesfunc5(A, k3_mesfun11(A, B), C)) => v8_mesfunc5(k3_mesfunc5(A, B, C)))  &  ( (v9_mesfunc5(k3_mesfunc5(A, B, C)) => v8_mesfunc5(k3_mesfunc5(A, k3_mesfun11(A, B), C)))  &  ( (v8_mesfunc5(k3_mesfunc5(A, k3_mesfun11(A, B), C)) => v9_mesfunc5(k3_mesfunc5(A, B, C)))  &  ( (v7_mesfunc5(k3_mesfunc5(A, B, C)) => v7_mesfunc5(k3_mesfunc5(A, k3_mesfun11(A, B), C)))  &  ( (v7_mesfunc5(k3_mesfunc5(A, k3_mesfun11(A, B), C)) => v7_mesfunc5(k3_mesfunc5(A, B, C)))  &  ( (v10_mesfunc5(k3_mesfunc5(A, B, C)) => v10_mesfunc5(k3_mesfunc5(A, k3_mesfun11(A, B), C)))  &  ( (v10_mesfunc5(k3_mesfunc5(A, k3_mesfun11(A, B), C)) => v10_mesfunc5(k3_mesfunc5(A, B, C)))  &  (v10_mesfunc5(k3_mesfunc5(A, B, C)) => k2_mesfunc5(k3_mesfunc5(A, k3_mesfun11(A, B), C))=k2_supinf_2(k2_mesfunc5(k3_mesfunc5(A, B, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (v1_mesfunc8(B, A, k6_numbers) => v1_mesfunc8(k3_mesfun11(A, B), A, k6_numbers)) ) ) ) ) ).
fof(t41_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (v2_mesfunc9(B, A) => v2_mesfunc9(k3_mesfun11(A, B), A)) ) ) ) ) ).
fof(t42_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  (v7_ordinal1(C) => r2_relset_1(A, k6_numbers, k4_mesfunc5(A, k6_numbers, k3_mesfunc9(A, k3_mesfun11(A, B)), C), k4_mesfunc5(A, k6_numbers, k3_mesfun11(A, k3_mesfunc9(A, B)), C))) ) ) ) ) ) ).
fof(t43_mesfun11, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) => k12_supinf_2(k1_mesfunc9(k1_dblseq_3(k4_ordinal1, A)), B)=k2_supinf_2(k12_supinf_2(k1_mesfunc9(A), B))) ) ) ) ).
fof(t44_mesfun11, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  => r2_funct_2(k4_ordinal1, k6_numbers, k1_mesfunc9(k1_dblseq_3(k4_ordinal1, A)), k1_dblseq_3(k4_ordinal1, k1_mesfunc9(A)))) ) ).
fof(t45_mesfun11, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (v1_mesfunc9(A) => v1_mesfunc9(k1_dblseq_3(k4_ordinal1, A))) ) ) ).
fof(t46_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  ( (! [C] :  (v7_ordinal1(C) => v4_mesfunc5(k4_mesfunc5(A, k6_numbers, B, C))) )  => v2_mesfunc9(B, A)) ) ) ) ) ).
fof(t47_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  ( (! [C] :  (v7_ordinal1(C) => v3_mesfunc5(k4_mesfunc5(A, k6_numbers, B, C))) )  => v2_mesfunc9(B, A)) ) ) ) ) ).
fof(t48_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (v1_mesfunc9(k3_mesfunc5(A, B, C)) =>  (v1_mesfunc9(k3_mesfunc5(A, k3_mesfun11(A, B), C)) & k2_mesfunc9(k3_mesfunc5(A, k3_mesfun11(A, B), C))=k2_supinf_2(k2_mesfunc9(k3_mesfunc5(A, B, C)))) ) ) ) ) ) ) ) ).
fof(t49_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  ( (v2_mesfunc9(C, A) &  (v1_mesfunc8(C, A, k6_numbers) &  (! [D] :  (m1_subset_1(D, A) =>  (r2_tarski(D, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, C, k5_numbers))) => v1_mesfunc9(k3_mesfunc5(A, C, D))) ) ) ) )  => r2_relset_1(A, k6_numbers, k7_mesfunc8(A, k3_mesfunc9(A, k3_mesfun11(A, C))), k7_mesfunc1(A, k7_mesfunc8(A, k3_mesfunc9(A, C))))) ) ) ) ) ) ) ).
fof(t50_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [E] :  (m1_subset_1(E, B) =>  ( (r1_tarski(E, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, C, k5_numbers))) &  (v2_mesfunc9(C, A) &  (v1_mesfunc8(C, A, k6_numbers) &  (! [F] :  (v7_ordinal1(F) => r2_relset_1(A, k6_numbers, k4_mesfunc5(A, k6_numbers, D, F), k2_partfun1(A, k6_numbers, k4_mesfunc5(A, k6_numbers, C, F), E))) ) ) ) )  => r2_relset_1(A, k6_numbers, k7_mesfunc8(A, k3_mesfunc9(A, D)), k2_partfun1(A, k6_numbers, k7_mesfunc8(A, k3_mesfunc9(A, C)), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v6_supinf_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  => k5_mesfunc5(A, B, C, k2_mesfunc2(A, k7_mesfunc1(A, D)))=k5_mesfunc5(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t52_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (m1_subset_1(E, B) =>  ( (E=k1_relset_1(A, D) & r1_mesfunc1(A, B, D, E))  => k7_mesfunc5(A, B, C, k7_mesfunc1(A, D))=k2_supinf_2(k7_mesfunc5(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v6_supinf_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  (! [E] :  (m1_subset_1(E, B) =>  ( (E=k1_relset_1(A, D) & r1_mesfunc1(A, B, D, E))  =>  (k7_mesfunc5(A, B, C, k2_mesfunc2(A, D))=k5_numbers & k6_mesfunc5(A, B, C, k2_mesfunc2(A, D))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (m1_subset_1(E, B) =>  ( (E=k1_relset_1(A, D) & r1_mesfunc1(A, B, D, E))  => k7_mesfunc5(A, B, C, D)=k4_supinf_2(k7_mesfunc5(A, B, C, k1_mesfunc2(A, D)), k7_mesfunc5(A, B, C, k2_mesfunc2(A, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (m1_subset_1(E, B) =>  ( (r1_tarski(E, k1_relset_1(A, D)) & r1_mesfunc1(A, B, D, E))  => k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, k7_mesfunc1(A, D), E))=k2_supinf_2(k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ~ ( ( (? [D] :  (m1_subset_1(D, B) &  (D=k1_relset_1(A, C) & r1_mesfunc1(A, B, C, D)) ) )  &  (v2_mesfunc5(C) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  ~ ( ( (! [E] :  (v7_ordinal1(E) =>  (r1_mesfunc2(A, B, k4_mesfunc5(A, k6_numbers, D, E)) & k1_relset_1(A, k4_mesfunc5(A, k6_numbers, D, E))=k1_relset_1(A, C)) ) )  &  ( (! [E] :  (v7_ordinal1(E) => v2_mesfunc5(k4_mesfunc5(A, k6_numbers, D, E))) )  &  ( (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (r1_xxreal_0(E, F) =>  (! [G] :  (m1_subset_1(G, A) =>  (r2_tarski(G, k1_relset_1(A, C)) => r1_xxreal_0(k12_supinf_2(k4_mesfunc5(A, k6_numbers, D, F), G), k12_supinf_2(k4_mesfunc5(A, k6_numbers, D, E), G))) ) ) ) ) ) ) )  &  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, k1_relset_1(A, C)) =>  (v10_mesfunc5(k3_mesfunc5(A, D, E)) & k2_mesfunc5(k3_mesfunc5(A, D, E))=k12_supinf_2(C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) &  (v2_mesfunc5(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  ( (? [F] :  (m1_subset_1(F, B) &  (F=k1_relset_1(A, E) & r1_mesfunc1(A, B, E, F)) ) )  =>  (k7_mesfunc5(A, B, C, E)=k2_supinf_2(k6_mesfunc5(A, B, C, k2_mesfunc2(A, E))) &  (k7_mesfunc5(A, B, C, E)=k2_supinf_2(k6_mesfunc5(A, B, C, k7_mesfunc1(A, E))) & k7_mesfunc5(A, B, C, E)=k2_supinf_2(k7_mesfunc5(A, B, C, k7_mesfunc1(A, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v2_mesfunc5(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  (r1_mesfunc2(A, B, D) =>  (k7_mesfunc5(A, B, C, D)=k2_supinf_2(k5_mesfunc5(A, B, C, k7_mesfunc1(A, D))) & k7_mesfunc5(A, B, C, D)=k2_supinf_2(k5_mesfunc5(A, B, C, k2_mesfunc2(A, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t59_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (v1_xreal_0(E) =>  ( (r1_mesfunc2(A, B, D) & v6_supinf_2(D))  => k7_mesfunc5(A, B, C, k6_mesfunc1(A, D, E))=k4_xxreal_3(E, k5_mesfunc5(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (v1_xreal_0(E) =>  ( (r1_mesfunc2(A, B, D) & v2_mesfunc5(D))  =>  (k7_mesfunc5(A, B, C, k6_mesfunc1(A, D, E))=k4_xxreal_3(k2_xxreal_3(E), k5_mesfunc5(A, B, C, k7_mesfunc1(A, D))) & k7_mesfunc5(A, B, C, k6_mesfunc1(A, D, E))=k2_xxreal_3(k4_xxreal_3(E, k5_mesfunc5(A, B, C, k7_mesfunc1(A, D))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (v2_mesfunc5(D) =>  ( (! [E] :  (m1_subset_1(E, B) =>  ~ ( (E=k1_relset_1(A, D) & r1_mesfunc1(A, B, D, E)) ) ) )  | r1_xxreal_0(k7_mesfunc5(A, B, C, D), k5_numbers)) ) ) ) ) ) ) ) ) ) ).
fof(t62_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (m1_subset_1(E, B) =>  (! [F] :  (m1_subset_1(F, B) =>  (! [G] :  (m1_subset_1(G, B) =>  ( (G=k1_relset_1(A, D) &  (r1_mesfunc1(A, B, D, G) &  (v2_mesfunc5(D) & r1_xboole_0(E, F)) ) )  => k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, k6_prob_1(A, B, E, F)))=k3_supinf_2(k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, E)), k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (m1_subset_1(E, B) =>  (! [F] :  (m1_subset_1(F, B) =>  ( (F=k1_relset_1(A, D) &  (r1_mesfunc1(A, B, D, F) & v2_mesfunc5(D)) )  => r1_xxreal_0(k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, E)), k5_numbers)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (m1_subset_1(E, B) =>  (! [F] :  (m1_subset_1(F, B) =>  (! [G] :  (m1_subset_1(G, B) =>  ( (G=k1_relset_1(A, D) &  (r1_mesfunc1(A, B, D, G) &  (v2_mesfunc5(D) & r1_tarski(E, F)) ) )  => r1_xxreal_0(k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, F)), k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (D=k1_relset_1(A, E) &  (r1_mesfunc1(A, B, E, D) & v2_mesfunc5(E)) )  =>  (k12_supinf_2(C, k9_subset_1(A, D, k18_mesfunc1(A, E, k2_xxreal_0)))=k5_numbers | k7_mesfunc5(A, B, C, E)=k2_xxreal_0) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (r1_tarski(D, k1_relset_1(A, E)) &  (r1_tarski(D, k1_relset_1(A, F)) &  (r1_mesfunc1(A, B, E, D) &  (r1_mesfunc1(A, B, F, D) &  (v2_mesfunc5(E) &  (! [G] :  (m1_subset_1(G, A) =>  (r2_tarski(G, D) => r1_xxreal_0(k12_supinf_2(F, G), k12_supinf_2(E, G))) ) ) ) ) ) ) )  => r1_xxreal_0(k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, F, D)), k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, E, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  (m1_subset_1(D, C) =>  (! [E] :  (v7_ordinal1(E) =>  ( (v1_mesfunc8(B, A, k6_numbers) &  (D=k1_relset_1(A, k4_mesfunc5(A, k6_numbers, B, k5_numbers)) &  (! [F] :  (v7_ordinal1(F) =>  (r1_mesfunc1(A, C, k4_mesfunc5(A, k6_numbers, B, F), D) & v4_mesfunc5(k4_mesfunc5(A, k6_numbers, B, F))) ) ) ) )  => r1_mesfunc1(A, C, k4_mesfunc5(A, k6_numbers, k3_mesfunc9(A, B), E), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [E] :  (m1_subset_1(E, B) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k6_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [G] :  (v7_ordinal1(G) =>  ( (E=k1_relset_1(A, k4_mesfunc5(A, k6_numbers, D, k5_numbers)) &  (v2_mesfunc9(D, A) &  (v1_mesfunc8(D, A, k6_numbers) &  (! [H] :  (v7_ordinal1(H) =>  (r1_mesfunc1(A, B, k4_mesfunc5(A, k6_numbers, D, H), E) &  (v2_mesfunc5(k4_mesfunc5(A, k6_numbers, D, H)) & k12_supinf_2(F, H)=k7_mesfunc5(A, B, C, k4_mesfunc5(A, k6_numbers, D, H))) ) ) ) ) ) )  => k7_mesfunc5(A, B, C, k4_mesfunc5(A, k6_numbers, k3_mesfunc9(A, D), G))=k12_supinf_2(k1_mesfunc9(F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t69_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [E] :  (m1_subset_1(E, B) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ~ ( (r1_tarski(E, k1_relset_1(A, F)) &  (v2_mesfunc5(F) &  (r1_mesfunc1(A, B, F, E) &  ( (! [G] :  (v7_ordinal1(G) =>  (r1_mesfunc2(A, B, k4_mesfunc5(A, k6_numbers, D, G)) &  (v2_mesfunc5(k4_mesfunc5(A, k6_numbers, D, G)) & r1_tarski(E, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, D, G)))) ) ) )  &  ( (! [G] :  (m1_subset_1(G, A) =>  (r2_tarski(G, E) =>  (v1_mesfunc9(k3_mesfunc5(A, D, G)) & k12_supinf_2(F, G)=k2_mesfunc9(k3_mesfunc5(A, D, G))) ) ) )  &  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, k6_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ~ ( ( (! [H] :  (v7_ordinal1(H) => k12_supinf_2(G, H)=k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, k4_mesfunc5(A, k6_numbers, D, H), E))) )  &  (v1_mesfunc9(G) & k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, F, E))=k2_mesfunc9(G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ~ ( (r1_tarski(D, k1_relset_1(A, E)) &  (v2_mesfunc5(E) &  (r1_mesfunc1(A, B, E, D) &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  ~ ( (v2_mesfunc9(F, A) &  ( (! [G] :  (v7_ordinal1(G) =>  (r1_mesfunc2(A, B, k4_mesfunc5(A, k6_numbers, F, G)) &  (v2_mesfunc5(k4_mesfunc5(A, k6_numbers, F, G)) & r1_mesfunc1(A, B, k4_mesfunc5(A, k6_numbers, F, G), D)) ) ) )  &  ( (! [G] :  (m1_subset_1(G, A) =>  (r2_tarski(G, D) =>  (v1_mesfunc9(k3_mesfunc5(A, F, G)) & k12_supinf_2(E, G)=k2_mesfunc9(k3_mesfunc5(A, F, G))) ) ) )  &  (? [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, k6_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  &  ( (! [H] :  (v7_ordinal1(H) => k12_supinf_2(G, H)=k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, k4_mesfunc5(A, k6_numbers, F, H), D))) )  &  (v1_mesfunc9(G) & k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, E, D))=k2_mesfunc9(G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [E] :  (m1_subset_1(E, B) =>  ~ ( (E=k1_relset_1(A, k4_mesfunc5(A, k6_numbers, D, k5_numbers)) &  (v1_mesfunc8(D, A, k6_numbers) &  ( (! [F] :  (v7_ordinal1(F) =>  (v2_mesfunc5(k4_mesfunc5(A, k6_numbers, D, F)) & r1_mesfunc1(A, B, k4_mesfunc5(A, k6_numbers, D, F), E)) ) )  &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k9_funct_2(k4_ordinal1, k4_partfun1(A, k6_numbers))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_funct_2(k4_ordinal1, k4_partfun1(A, k6_numbers)))))) )  =>  ~ ( (! [G] :  (v7_ordinal1(G) =>  ( (! [H] :  (v7_ordinal1(H) =>  (r1_mesfunc2(A, B, k4_mesfunc5(A, k6_numbers, k9_mesfunc9(A, F, G), H)) & k1_relset_1(A, k4_mesfunc5(A, k6_numbers, k9_mesfunc9(A, F, G), H))=k1_relset_1(A, k4_mesfunc5(A, k6_numbers, D, G))) ) )  &  ( (! [H] :  (v7_ordinal1(H) => v2_mesfunc5(k4_mesfunc5(A, k6_numbers, k9_mesfunc9(A, F, G), H))) )  &  ( (! [H] :  (v7_ordinal1(H) =>  (! [I] :  (v7_ordinal1(I) =>  (r1_xxreal_0(H, I) =>  (! [J] :  (m1_subset_1(J, A) =>  (r2_tarski(J, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, D, G))) => r1_xxreal_0(k12_supinf_2(k4_mesfunc5(A, k6_numbers, k9_mesfunc9(A, F, G), I), J), k12_supinf_2(k4_mesfunc5(A, k6_numbers, k9_mesfunc9(A, F, G), H), J))) ) ) ) ) ) ) )  &  (! [H] :  (m1_subset_1(H, A) =>  (r2_tarski(H, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, D, G))) =>  (v10_mesfunc5(k3_mesfunc5(A, k9_mesfunc9(A, F, G), H)) & k2_mesfunc5(k3_mesfunc5(A, k9_mesfunc9(A, F, G), H))=k12_supinf_2(k4_mesfunc5(A, k6_numbers, D, G), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t72_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [E] :  (m1_subset_1(E, B) =>  ~ ( (E=k1_relset_1(A, k4_mesfunc5(A, k6_numbers, D, k5_numbers)) &  (v2_mesfunc9(D, A) &  (v1_mesfunc8(D, A, k6_numbers) &  ( (! [F] :  (v7_ordinal1(F) =>  (r1_mesfunc1(A, B, k4_mesfunc5(A, k6_numbers, D, F), E) & v2_mesfunc5(k4_mesfunc5(A, k6_numbers, D, F))) ) )  &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k6_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ~ ( (! [G] :  (v7_ordinal1(G) =>  (k12_supinf_2(F, G)=k7_mesfunc5(A, B, C, k4_mesfunc5(A, k6_numbers, D, G)) & k7_mesfunc5(A, B, C, k4_mesfunc5(A, k6_numbers, k3_mesfunc9(A, D), G))=k12_supinf_2(k1_mesfunc9(F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t73_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [E] :  (m1_subset_1(E, B) =>  ~ ( (r1_tarski(E, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, D, k5_numbers))) &  (v2_mesfunc9(D, A) &  (v1_mesfunc8(D, A, k6_numbers) &  ( (! [F] :  (v7_ordinal1(F) =>  (v2_mesfunc5(k4_mesfunc5(A, k6_numbers, D, F)) & r1_mesfunc1(A, B, k4_mesfunc5(A, k6_numbers, D, F), E)) ) )  &  ( (! [F] :  (m1_subset_1(F, A) =>  (r2_tarski(F, E) => v1_mesfunc9(k3_mesfunc5(A, D, F))) ) )  &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k6_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ~ ( ( (! [G] :  (v7_ordinal1(G) => k12_supinf_2(F, G)=k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, k4_mesfunc5(A, k6_numbers, D, G), E))) )  &  (v1_mesfunc9(F) & k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, k7_mesfunc8(A, k3_mesfunc9(A, D)), E))=k2_mesfunc9(F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t74_mesfun11, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [E] :  (m1_subset_1(E, B) =>  ~ ( (E=k1_relset_1(A, k4_mesfunc5(A, k6_numbers, D, k5_numbers)) &  (v2_mesfunc5(k4_mesfunc5(A, k6_numbers, D, k5_numbers)) &  (v1_mesfunc8(D, A, k6_numbers) &  ( (! [F] :  (v7_ordinal1(F) => r1_mesfunc1(A, B, k4_mesfunc5(A, k6_numbers, D, F), E)) )  &  ( (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  (r1_xxreal_0(F, G) =>  (! [H] :  (m1_subset_1(H, A) =>  (r2_tarski(H, E) => r1_xxreal_0(k12_supinf_2(k4_mesfunc5(A, k6_numbers, D, G), H), k12_supinf_2(k4_mesfunc5(A, k6_numbers, D, F), H))) ) ) ) ) ) ) )  &  ( (! [F] :  (m1_subset_1(F, A) =>  (r2_tarski(F, E) => v10_mesfunc5(k3_mesfunc5(A, D, F))) ) )  &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k6_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ~ ( ( (! [G] :  (v7_ordinal1(G) => k12_supinf_2(F, G)=k7_mesfunc5(A, B, C, k4_mesfunc5(A, k6_numbers, D, G))) )  &  (v10_mesfunc5(F) & k7_mesfunc5(A, B, C, k7_mesfunc8(A, D))=k2_mesfunc5(F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_mesfun11, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  & v1_xreal_0(C)) )  =>  (v1_funct_1(k1_mesfun11(A, B, C)) &  (v1_funct_2(k1_mesfun11(A, B, C), A, k6_numbers) & m1_subset_1(k1_mesfun11(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ) ).
fof(redefinition_k1_mesfun11, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  & v1_xreal_0(C)) )  => k1_mesfun11(A, B, C)=k6_mesfunc1(A, B, C)) ) ).
fof(dt_k2_mesfun11, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  & v1_xreal_0(C)) )  =>  (v1_funct_1(k2_mesfun11(A, B, C)) &  (v1_funct_2(k2_mesfun11(A, B, C), k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(k2_mesfun11(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) ) ) ).
fof(dt_k3_mesfun11, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) )  =>  (v1_funct_1(k3_mesfun11(A, B)) &  (v1_funct_2(k3_mesfun11(A, B), k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(k3_mesfun11(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) ) ) ).
fof(d1_mesfun12, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_xxreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k6_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) )  =>  (D=k1_mesfun12(A, B, C) <=>  (! [E] :  (r2_hidden(E, B) =>  ( (r2_hidden(E, A) => k1_funct_1(D, E)=C)  &  ( ~ (r2_hidden(E, A))  => k1_funct_1(D, E)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (v1_xreal_0(C) => r2_funct_2(A, k6_numbers, k1_mesfun11(A, k1_measur11(B, A), C), k1_mesfun12(B, A, C))) ) ) ) ) ).
fof(t2_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (r2_funct_2(A, k6_numbers, k1_mesfun12(B, A, k1_xxreal_0), k5_measur10(B, A)) & r2_funct_2(A, k6_numbers, k1_mesfun12(B, A, k2_xxreal_0), k1_dblseq_3(A, k5_measur10(B, A)))) ) ) ) ).
fof(t3_mesfun12, axiom,  (! [A] :  (! [B] :  (v4_mesfunc5(k1_measur11(B, A)) & v3_mesfunc5(k1_measur11(B, A))) ) ) ).
fof(t4_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (v1_xreal_0(C) =>  (r1_tarski(k2_relset_1(k6_numbers, k1_mesfun12(B, A, C)), k2_tarski(k5_numbers, C)) &  (v4_mesfunc5(k1_mesfun12(B, A, C)) & v3_mesfunc5(k1_mesfun12(B, A, C))) ) ) ) ) ) ) ).
fof(t5_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  ~ ( (r1_mesfunc2(A, B, C) &  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v1_prob_2(E) & m2_finseq_1(E, B)) )  =>  (! [F] :  (m2_finseq_1(F, k6_numbers) =>  (! [G] :  (m2_finseq_1(G, k1_numbers) =>  ~ ( (r1_mesfunc3(A, B, C, E, F) &  (! [H] :  (v7_ordinal1(H) =>  (k12_supinf_2(F, H)=k12_supinf_2(G, H) &  (r2_relset_1(A, k6_numbers, k2_partfun1(A, k6_numbers, C, k8_prob_3(A, B, E, H)), k2_partfun1(A, k6_numbers, k1_mesfun12(k8_prob_3(A, B, E, H), A, k12_supinf_2(G, H)), k8_prob_3(A, B, E, H))) &  (k8_prob_3(A, B, E, H)=k1_xboole_0 => k12_supinf_2(G, H)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_mesfun12, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_prob_2(A) <=>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r2_tarski(B, k4_finseq_1(A)) & r2_tarski(C, k4_finseq_1(A)))  =>  (B=C | r1_xboole_0(k1_funct_1(A, B), k1_funct_1(A, C))) ) ) ) ) ) ) ) ) ).
fof(t6_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(A), B) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (r1_xboole_0(C, D) =>  (v1_prob_2(k2_finseq_4(B, C, D)) & m2_finseq_1(k2_finseq_4(B, C, D), B)) ) ) ) ) ) ) ) ) ) ).
fof(t7_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (v3_measur11(k2_finseq_4(k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)), k1_mesfun12(B, A, D), k1_mesfun12(C, A, E)), A) & m2_finseq_1(k2_finseq_4(k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)), k1_mesfun12(B, A, D), k1_mesfun12(C, A, E)), k9_funct_2(A, k6_numbers))) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_measur11(B, A) & m2_finseq_1(B, k9_funct_2(A, k6_numbers)))  =>  (r1_xxreal_0(2, k3_finseq_1(B)) => r2_relset_1(A, k6_numbers, k11_measur11(A, k6_numbers, k9_funct_2(A, k6_numbers), k12_measur11(A, B), 2), k3_mesfunc1(A, k11_measur11(A, k6_numbers, k9_funct_2(A, k6_numbers), B, 1), k11_measur11(A, k6_numbers, k9_funct_2(A, k6_numbers), B, 2)))) ) ) ) ) ).
fof(t9_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  => r2_relset_1(A, k6_numbers, k3_mesfunc1(A, B, k8_funcop_1(k6_numbers, A, k1_supinf_2)), B)) ) ) ) ).
fof(t10_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v3_measur11(B, A) & m2_finseq_1(B, k9_funct_2(A, k6_numbers)))  =>  (k4_finseq_1(B)=k4_finseq_1(k12_measur11(A, B)) &  ( (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) => k11_measur11(A, k6_numbers, k9_funct_2(A, k6_numbers), k12_measur11(A, B), C)=k1_funct_1(k12_measur11(A, B), C)) ) )  &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, A) =>  (r1_xxreal_0(1, C) =>  (r1_xxreal_0(k3_finseq_1(B), C) | k12_supinf_2(k11_measur11(A, k6_numbers, k9_funct_2(A, k6_numbers), k12_measur11(A, B), k1_nat_1(C, 1)), D)=k3_supinf_2(k12_supinf_2(k11_measur11(A, k6_numbers, k9_funct_2(A, k6_numbers), k12_measur11(A, B), C), D), k12_supinf_2(k11_measur11(A, k6_numbers, k9_funct_2(A, k6_numbers), B, k1_nat_1(C, 1)), D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  (! [D] :  ( (v1_prob_2(D) & m2_finseq_1(D, B))  =>  (! [E] :  ( (v3_measur11(E, A) & m2_finseq_1(E, k9_funct_2(A, k6_numbers)))  =>  ( (k4_finseq_1(D)=k4_finseq_1(E) &  (k1_relset_1(A, C)=k3_tarski(k2_relset_1(B, D)) &  ( (! [F] :  (v7_ordinal1(F) =>  ~ ( (r2_tarski(F, k4_finseq_1(E)) &  (! [G] :  (v1_xreal_0(G) =>  ~ (r2_funct_2(A, k6_numbers, k11_measur11(A, k6_numbers, k9_funct_2(A, k6_numbers), E, F), k1_mesfun11(A, k1_measur11(k8_prob_3(A, B, D, F), A), G))) ) ) ) ) ) )  & r2_funct_2(A, k6_numbers, C, k11_measur11(A, k6_numbers, k9_funct_2(A, k6_numbers), k12_measur11(A, E), k3_finseq_1(E)))) ) )  =>  ( (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (v7_ordinal1(H) =>  ( (r2_tarski(G, k4_finseq_1(E)) &  (r2_tarski(H, k4_finseq_1(E)) & r2_tarski(F, k8_prob_3(A, B, D, G))) )  =>  (G=H | k12_supinf_2(k11_measur11(A, k6_numbers, k9_funct_2(A, k6_numbers), E, H), F)=k5_numbers) ) ) ) ) ) ) )  &  ( (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (v7_ordinal1(H) =>  ( (r2_tarski(G, k4_finseq_1(E)) &  (r2_tarski(H, k4_finseq_1(E)) & r2_tarski(F, k8_prob_3(A, B, D, G))) )  =>  (r1_xxreal_0(G, H) | k12_supinf_2(k11_measur11(A, k6_numbers, k9_funct_2(A, k6_numbers), k12_measur11(A, E), H), F)=k5_numbers) ) ) ) ) ) ) )  &  ( (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (v7_ordinal1(H) =>  ( (r2_tarski(G, k4_finseq_1(E)) &  (r2_tarski(H, k4_finseq_1(E)) &  (r2_tarski(F, k8_prob_3(A, B, D, G)) & r1_xxreal_0(G, H)) ) )  => k12_supinf_2(k11_measur11(A, k6_numbers, k9_funct_2(A, k6_numbers), k12_measur11(A, E), H), F)=k12_supinf_2(C, F)) ) ) ) ) ) )  &  ( (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (v7_ordinal1(G) =>  ( (r2_tarski(G, k4_finseq_1(E)) & r2_tarski(F, k8_prob_3(A, B, D, G)))  => k12_supinf_2(k11_measur11(A, k6_numbers, k9_funct_2(A, k6_numbers), E, G), F)=k12_supinf_2(C, F)) ) ) ) )  & r1_mesfunc2(A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) => r1_mesfunc2(A, B, k1_measur11(D, A))) ) ) ) ) ) ) ) ).
fof(t13_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (! [F] :  (v1_xxreal_0(F) => r1_mesfunc1(A, B, k1_mesfun12(D, A, F), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_mesfun12, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (v1_xxreal_0(D) => r2_relset_1(A, k6_numbers, k2_partfun1(A, k6_numbers, k1_mesfun12(B, A, D), C), k2_partfun1(A, k6_numbers, k1_mesfun12(k9_subset_1(A, B, C), A, D), C))) ) ) ) ) ) ) ).
fof(t15_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  (! [G] :  (v1_xxreal_0(G) =>  (r1_tarski(F, E) => r1_mesfunc1(A, B, k2_partfun1(A, k6_numbers, k1_mesfun12(D, A, G), E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_mesfun12, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (v1_xxreal_0(D) =>  (! [E] :  (r1_xboole_0(B, C) => k1_funct_1(k2_partfun1(A, k6_numbers, k1_mesfun12(B, A, D), C), E)=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(t17_mesfun12, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (v1_xxreal_0(C) =>  ( (r1_xxreal_0(k5_numbers, C) => v6_supinf_2(k1_mesfun12(B, A, C)))  &  (r1_xxreal_0(C, k5_numbers) => v2_mesfunc5(k1_mesfun12(B, A, C))) ) ) ) ) ) ) ).
fof(t18_mesfun12, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => k1_relset_1(B, k2_partfun1(B, k6_numbers, k1_measur11(A, B), C))=C) ) ) ) ).
fof(t19_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (v1_xboole_0(C) => r1_mesfunc2(A, B, C)) ) ) ) ) ) ) ).
fof(t20_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) => k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, k1_measur11(D, A), E))=k12_supinf_2(C, k2_measure1(A, B, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t21_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (D=k1_relset_1(A, F) &  (v6_supinf_2(F) &  (r1_mesfunc1(A, B, F, D) &  (E=k1_relset_1(A, G) &  (v6_supinf_2(G) & r1_mesfunc1(A, B, G, E)) ) ) ) )  => k7_mesfunc5(A, B, C, k3_mesfunc1(A, F, G))=k3_supinf_2(k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, F, k1_relset_1(A, k3_mesfunc1(A, F, G)))), k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, G, k1_relset_1(A, k3_mesfunc1(A, F, G)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (D=k1_relset_1(A, F) &  (v2_mesfunc5(F) &  (r1_mesfunc1(A, B, F, D) &  (E=k1_relset_1(A, G) &  (v2_mesfunc5(G) & r1_mesfunc1(A, B, G, E)) ) ) ) )  => k7_mesfunc5(A, B, C, k3_mesfunc1(A, F, G))=k3_supinf_2(k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, F, k1_relset_1(A, k3_mesfunc1(A, F, G)))), k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, G, k1_relset_1(A, k3_mesfunc1(A, F, G)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (D=k1_relset_1(A, F) &  (v6_supinf_2(F) &  (r1_mesfunc1(A, B, F, D) &  (E=k1_relset_1(A, G) &  (v2_mesfunc5(G) & r1_mesfunc1(A, B, G, E)) ) ) ) )  =>  (k7_mesfunc5(A, B, C, k4_mesfunc1(A, F, G))=k4_supinf_2(k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, F, k1_relset_1(A, k4_mesfunc1(A, F, G)))), k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, G, k1_relset_1(A, k4_mesfunc1(A, F, G))))) & k7_mesfunc5(A, B, C, k4_mesfunc1(A, G, F))=k4_supinf_2(k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, G, k1_relset_1(A, k4_mesfunc1(A, G, F)))), k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, F, k1_relset_1(A, k4_mesfunc1(A, G, F)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [F] :  (v1_xreal_0(F) =>  ( (D=k1_relset_1(A, E) & r1_mesfunc1(A, B, E, D))  =>  ( ( ~ (v2_mesfunc5(E))  &  ~ (v6_supinf_2(E)) )  | k7_mesfunc5(A, B, C, k6_mesfunc1(A, E, F))=k4_xxreal_3(F, k7_mesfunc5(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_setfam_1(k2_zfmisc_1(A, B))) =>  (! [D] :  (! [E] :  ( (r2_tarski(D, A) & r2_tarski(E, B))  =>  ( (r2_hidden(k4_tarski(D, E), C) => r2_tarski(D, k8_measur11(A, B, C, E)))  &  ( (r2_tarski(D, k8_measur11(A, B, C, E)) => r2_hidden(k4_tarski(D, E), C))  &  ( (r2_hidden(k4_tarski(D, E), C) => r2_tarski(E, k7_measur11(A, B, C, D)))  &  (r2_tarski(E, k7_measur11(A, B, C, D)) => r2_hidden(k4_tarski(D, E), C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C))))  =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, C))))  =>  (F=k2_mesfun12(A, B, C, D, E) <=>  (k1_relset_1(B, F)=k7_measur11(A, B, k1_relset_1(k2_zfmisc_1(A, B), D), E) &  (! [G] :  (m1_subset_1(G, B) =>  (r2_hidden(k4_tarski(E, G), k1_relset_1(k2_zfmisc_1(A, B), D)) => k1_funct_1(F, G)=k1_binop_1(D, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C))))  =>  (! [E] :  (m1_subset_1(E, B) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, C))))  =>  (F=k3_mesfun12(A, B, C, D, E) <=>  (k1_relset_1(A, F)=k8_measur11(A, B, k1_relset_1(k2_zfmisc_1(A, B), D), E) &  (! [G] :  (m1_subset_1(G, A) =>  (r2_hidden(k4_tarski(G, E), k1_relset_1(k2_zfmisc_1(A, B), D)) => k1_funct_1(F, G)=k1_binop_1(D, G, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C))))  =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, B) =>  ( (r2_tarski(E, k1_relset_1(A, k3_mesfun12(A, B, C, D, F))) => k1_funct_1(k3_mesfun12(A, B, C, D, F), E)=k1_binop_1(D, E, F))  &  (r2_tarski(F, k1_relset_1(B, k2_mesfun12(A, B, C, D, E))) => k1_funct_1(k2_mesfun12(A, B, C, D, E), F)=k1_binop_1(D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, B) =>  (r2_relset_1(B, C, k2_mesfun12(A, B, C, D, E), k5_mesfunc9(A, B, C, D, E)) & r2_relset_1(A, C, k3_mesfun12(A, B, C, D, F), k6_mesfunc9(A, B, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C))))  =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, B) =>  (! [G] :  (k7_measur11(A, B, k8_relset_1(k2_zfmisc_1(A, B), C, D, G), E)=k8_relset_1(B, C, k2_mesfun12(A, B, C, D, E), G) & k8_measur11(A, B, k8_relset_1(k2_zfmisc_1(A, B), C, D, G), F)=k8_relset_1(A, C, k3_mesfun12(A, B, C, D, F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers))))  =>  (r2_relset_1(B, k6_numbers, k2_mesfun12(A, B, k6_numbers, k6_mesfunc1(k2_zfmisc_1(A, B), F, E), C), k6_mesfunc1(B, k2_mesfun12(A, B, k6_numbers, F, C), E)) & r2_relset_1(A, k6_numbers, k3_mesfun12(A, B, k6_numbers, k6_mesfunc1(k2_zfmisc_1(A, B), F, E), D), k6_mesfunc1(A, k3_mesfun12(A, B, k6_numbers, F, D), E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers))))  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, B) =>  ( (! [F] :  (m1_subset_1(F, k2_zfmisc_1(A, B)) =>  (r2_tarski(F, k1_relset_1(k2_zfmisc_1(A, B), C)) => k12_supinf_2(C, F)=k5_numbers) ) )  =>  (k12_supinf_2(k3_mesfun12(A, B, k6_numbers, C, E), D)=k5_numbers & k12_supinf_2(k2_mesfun12(A, B, k6_numbers, C, D), E)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, B) =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers))))  =>  (r1_mesfunc2(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), G) =>  (r1_mesfunc2(B, D, k2_mesfun12(A, B, k6_numbers, G, E)) & r1_mesfunc2(A, C, k3_mesfun12(A, B, k6_numbers, G, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers))))  =>  (v6_supinf_2(E) =>  (v6_supinf_2(k2_mesfun12(A, B, k6_numbers, E, C)) & v6_supinf_2(k3_mesfun12(A, B, k6_numbers, E, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers))))  =>  (v2_mesfunc5(E) =>  (v2_mesfunc5(k2_mesfun12(A, B, k6_numbers, E, C)) & v2_mesfunc5(k3_mesfun12(A, B, k6_numbers, E, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers))))  =>  (r2_relset_1(B, k6_numbers, k2_mesfun12(A, B, k6_numbers, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, F, E), C), k2_partfun1(B, k6_numbers, k2_mesfun12(A, B, k6_numbers, F, C), k7_measur11(A, B, E, C))) & r2_relset_1(A, k6_numbers, k3_mesfun12(A, B, k6_numbers, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, F, E), D), k2_partfun1(A, k6_numbers, k3_mesfun12(A, B, k6_numbers, F, D), k8_measur11(A, B, E, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, B) =>  (r2_relset_1(B, k6_numbers, k2_mesfun12(A, B, k6_numbers, k5_measur10(C, k2_zfmisc_1(A, B)), D), k5_measur10(k7_measur11(A, B, C, D), B)) & r2_relset_1(A, k6_numbers, k3_mesfun12(A, B, k6_numbers, k5_measur10(C, k2_zfmisc_1(A, B)), E), k5_measur10(k8_measur11(A, B, C, E), A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ( (r2_relset_1(A, k6_numbers, k2_partfun1(A, k6_numbers, D, F), k2_partfun1(A, k6_numbers, E, F)) &  (r1_tarski(F, k1_relset_1(A, D)) &  (r1_tarski(F, k1_relset_1(A, E)) & r1_mesfunc1(A, B, D, F)) ) )  => r1_mesfunc1(A, B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers))))  =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, B) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, k4_partfun1(k2_zfmisc_1(A, B), k6_numbers)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(k2_zfmisc_1(A, B), k6_numbers))))) )  =>  ( (r1_relset_1(A, B, C, k1_relset_1(k2_zfmisc_1(A, B), D)) &  ( (! [H] :  (v7_ordinal1(H) => r2_relset_1(A, B, k1_relset_1(k2_zfmisc_1(A, B), k4_mesfunc5(k2_zfmisc_1(A, B), k6_numbers, G, H)), C)) )  &  (! [H] :  (m1_subset_1(H, k2_zfmisc_1(A, B)) =>  (r2_tarski(H, C) =>  (v10_mesfunc5(k3_mesfunc5(k2_zfmisc_1(A, B), G, H)) & k2_mesfunc5(k3_mesfunc5(k2_zfmisc_1(A, B), G, H))=k12_supinf_2(D, H)) ) ) ) ) )  =>  ( (? [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k4_ordinal1, k4_partfun1(A, k6_numbers)) &  (v1_mesfunc8(H, A, k6_numbers) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) )  &  ( (! [I] :  (v7_ordinal1(I) => r2_relset_1(A, k6_numbers, k4_mesfunc5(A, k6_numbers, H, I), k3_mesfun12(A, B, k6_numbers, k4_mesfunc5(k2_zfmisc_1(A, B), k6_numbers, G, I), F))) )  &  (! [I] :  (m1_subset_1(I, A) =>  (r2_tarski(I, k8_measur11(A, B, C, F)) =>  (v10_mesfunc5(k3_mesfunc5(A, H, I)) & k12_supinf_2(k3_mesfun12(A, B, k6_numbers, D, F), I)=k2_mesfunc5(k3_mesfunc5(A, H, I))) ) ) ) ) ) )  &  (? [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k4_ordinal1, k4_partfun1(B, k6_numbers)) &  (v1_mesfunc8(H, B, k6_numbers) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(B, k6_numbers))))) ) )  &  ( (! [I] :  (v7_ordinal1(I) => r2_relset_1(B, k6_numbers, k4_mesfunc5(B, k6_numbers, H, I), k2_mesfun12(A, B, k6_numbers, k4_mesfunc5(k2_zfmisc_1(A, B), k6_numbers, G, I), E))) )  &  (! [I] :  (m1_subset_1(I, B) =>  (r2_tarski(I, k7_measur11(A, B, C, E)) =>  (v10_mesfunc5(k3_mesfunc5(B, H, I)) & k12_supinf_2(k2_mesfun12(A, B, k6_numbers, D, E), I)=k2_mesfunc5(k3_mesfunc5(B, H, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(A), C) =>  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(B), D) =>  (! [I] :  (m1_subset_1(I, A) => k1_extreal1(k12_supinf_2(F, k2_measure1(B, D, H, k9_measur11(A, B, C, D, E, I))), k12_supinf_2(k1_measur11(G, A), I))=k7_mesfunc5(B, D, F, k2_mesfun12(A, B, k6_numbers, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, k1_measur11(k8_mcart_1(A, B, G, H), k2_zfmisc_1(A, B)), E), I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, C, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, A, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(A), C) =>  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(B), D) =>  (! [I] :  (m1_subset_1(I, B) => k1_extreal1(k12_supinf_2(F, k2_measure1(A, C, G, k10_measur11(A, B, C, D, E, I))), k12_supinf_2(k1_measur11(H, B), I))=k7_mesfunc5(A, C, F, k3_mesfun12(A, B, k6_numbers, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, k1_measur11(k8_mcart_1(A, B, G, H), k2_zfmisc_1(A, B)), E), I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers))))  =>  (! [F] :  (v1_xxreal_0(F) =>  ( ( (r2_hidden(k4_tarski(C, D), k1_relset_1(k2_zfmisc_1(A, B), E)) & k1_binop_1(E, C, D)=F)  =>  (r2_tarski(D, k1_relset_1(B, k2_mesfun12(A, B, k6_numbers, E, C))) & k12_supinf_2(k2_mesfun12(A, B, k6_numbers, E, C), D)=F) )  &  ( ( (r2_tarski(D, k1_relset_1(B, k2_mesfun12(A, B, k6_numbers, E, C))) & k12_supinf_2(k2_mesfun12(A, B, k6_numbers, E, C), D)=F)  =>  (r2_hidden(k4_tarski(C, D), k1_relset_1(k2_zfmisc_1(A, B), E)) & k1_binop_1(E, C, D)=F) )  &  ( ( (r2_hidden(k4_tarski(C, D), k1_relset_1(k2_zfmisc_1(A, B), E)) & k1_binop_1(E, C, D)=F)  =>  (r2_tarski(C, k1_relset_1(A, k3_mesfun12(A, B, k6_numbers, E, D))) & k12_supinf_2(k3_mesfun12(A, B, k6_numbers, E, D), C)=F) )  &  ( (r2_tarski(C, k1_relset_1(A, k3_mesfun12(A, B, k6_numbers, E, D))) & k12_supinf_2(k3_mesfun12(A, B, k6_numbers, E, D), C)=F)  =>  (r2_hidden(k4_tarski(C, D), k1_relset_1(k2_zfmisc_1(A, B), E)) & k1_binop_1(E, C, D)=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (! [D] :  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), D))))  =>  (! [F] :  (m1_subset_1(F, A) => k7_measur11(A, B, k8_relset_1(k2_zfmisc_1(A, B), D, E, C), F)=k8_relset_1(B, D, k2_mesfun12(A, B, D, E, F), C)) ) ) ) ) ) ) ) ) ) ).
fof(t42_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (! [D] :  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), D))))  =>  (! [F] :  (m1_subset_1(F, B) => k8_measur11(A, B, k8_relset_1(k2_zfmisc_1(A, B), D, E, C), F)=k8_relset_1(A, D, k3_mesfun12(A, B, D, E, F), C)) ) ) ) ) ) ) ) ) ) ).
fof(t43_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [E] :  (k7_measur11(A, B, k7_subset_1(k2_zfmisc_1(A, B), C, D), E)=k7_subset_1(B, k7_measur11(A, B, C, E), k7_measur11(A, B, D, E)) & k8_measur11(A, B, k7_subset_1(k2_zfmisc_1(A, B), C, D), E)=k7_subset_1(A, k8_measur11(A, B, C, E), k8_measur11(A, B, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t44_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers))))  =>  (r2_relset_1(B, k6_numbers, k2_mesfun12(A, B, k6_numbers, k3_mesfunc1(k2_zfmisc_1(A, B), E, F), C), k3_mesfunc1(B, k2_mesfun12(A, B, k6_numbers, E, C), k2_mesfun12(A, B, k6_numbers, F, C))) &  (r2_relset_1(B, k6_numbers, k2_mesfun12(A, B, k6_numbers, k4_mesfunc1(k2_zfmisc_1(A, B), E, F), C), k4_mesfunc1(B, k2_mesfun12(A, B, k6_numbers, E, C), k2_mesfun12(A, B, k6_numbers, F, C))) &  (r2_relset_1(A, k6_numbers, k3_mesfun12(A, B, k6_numbers, k3_mesfunc1(k2_zfmisc_1(A, B), E, F), D), k3_mesfunc1(A, k3_mesfun12(A, B, k6_numbers, E, D), k3_mesfun12(A, B, k6_numbers, F, D))) & r2_relset_1(A, k6_numbers, k3_mesfun12(A, B, k6_numbers, k4_mesfunc1(k2_zfmisc_1(A, B), E, F), D), k4_mesfunc1(A, k3_mesfun12(A, B, k6_numbers, E, D), k3_mesfun12(A, B, k6_numbers, F, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers))))  =>  (! [D] :  (m1_subset_1(D, A) =>  (r2_relset_1(B, k6_numbers, k2_mesfun12(A, B, k6_numbers, k1_mesfunc2(k2_zfmisc_1(A, B), C), D), k1_mesfunc2(B, k2_mesfun12(A, B, k6_numbers, C, D))) & r2_relset_1(B, k6_numbers, k2_mesfun12(A, B, k6_numbers, k2_mesfunc2(k2_zfmisc_1(A, B), C), D), k2_mesfunc2(B, k2_mesfun12(A, B, k6_numbers, C, D)))) ) ) ) ) ) ) ) ) ).
fof(t46_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers))))  =>  (! [D] :  (m1_subset_1(D, B) =>  (r2_relset_1(A, k6_numbers, k3_mesfun12(A, B, k6_numbers, k1_mesfunc2(k2_zfmisc_1(A, B), C), D), k1_mesfunc2(A, k3_mesfun12(A, B, k6_numbers, C, D))) & r2_relset_1(A, k6_numbers, k3_mesfun12(A, B, k6_numbers, k2_mesfunc2(k2_zfmisc_1(A, B), C), D), k2_mesfunc2(A, k3_mesfun12(A, B, k6_numbers, C, D)))) ) ) ) ) ) ) ) ) ).
fof(t47_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers))))  =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, B) =>  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  ( (r1_relset_1(A, B, H, k1_relset_1(k2_zfmisc_1(A, B), E)) & r1_mesfunc1(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), E, H))  =>  (r1_mesfunc1(B, D, k2_mesfun12(A, B, k6_numbers, E, F), k9_measur11(A, B, C, D, H, F)) & r1_mesfunc1(A, C, k3_mesfun12(A, B, k6_numbers, E, G), k10_measur11(A, B, C, D, H, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_partfun1(k2_zfmisc_1(A, B), C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(k2_zfmisc_1(A, B), C))))) )  =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k4_partfun1(B, C)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(B, C))))) )  =>  (F=k4_mesfun12(A, B, C, D, E) <=>  (! [G] :  (v7_ordinal1(G) => r2_relset_1(B, C, k4_mesfunc5(B, C, F, G), k2_mesfun12(A, B, C, k4_mesfunc5(k2_zfmisc_1(A, B), C, D, G), E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_partfun1(k2_zfmisc_1(A, B), C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(k2_zfmisc_1(A, B), C))))) )  =>  (! [E] :  (m1_subset_1(E, B) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k4_partfun1(A, C)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, C))))) )  =>  (F=k5_mesfun12(A, B, C, D, E) <=>  (! [G] :  (v7_ordinal1(G) => r2_relset_1(A, C, k4_mesfunc5(A, C, F, G), k3_mesfun12(A, B, C, k4_mesfunc5(k2_zfmisc_1(A, B), C, D, G), E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, B) =>  (r2_relset_1(B, k6_numbers, k2_mesfun12(A, B, k6_numbers, k1_measur11(C, k2_zfmisc_1(A, B)), D), k1_measur11(k7_measur11(A, B, C, D), B)) & r2_relset_1(A, k6_numbers, k3_mesfun12(A, B, k6_numbers, k1_measur11(C, k2_zfmisc_1(A, B)), E), k1_measur11(k8_measur11(A, B, C, E), A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (v1_xxreal_0(E) => k7_mesfunc5(A, B, C, k1_mesfun12(D, A, E))=k4_xxreal_3(E, k12_supinf_2(C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t50_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (v1_xxreal_0(E) => k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, k1_mesfun12(D, A, E), D))=k4_xxreal_3(E, k12_supinf_2(C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t51_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (! [F] :  (v1_xxreal_0(F) => k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, k1_mesfun12(D, A, F), E))=k4_xxreal_3(F, k12_supinf_2(C, k2_measure1(A, B, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, D, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, B, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (v4_measur11(E, B, D) =>  (k12_supinf_2(k19_measur11(A, B, C, D, E, G), F)=k7_mesfunc5(B, D, E, k2_mesfun12(A, B, k6_numbers, k1_measur11(G, k2_zfmisc_1(A, B)), F)) &  (k12_supinf_2(k19_measur11(A, B, C, D, E, G), F)=k6_mesfunc5(B, D, E, k2_mesfun12(A, B, k6_numbers, k1_measur11(G, k2_zfmisc_1(A, B)), F)) & k12_supinf_2(k19_measur11(A, B, C, D, E, G), F)=k5_mesfunc5(B, D, E, k2_mesfun12(A, B, k6_numbers, k1_measur11(G, k2_zfmisc_1(A, B)), F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  (m1_subset_1(F, B) =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (v4_measur11(E, A, C) =>  (k12_supinf_2(k20_measur11(A, B, C, D, E, G), F)=k7_mesfunc5(A, C, E, k3_mesfun12(A, B, k6_numbers, k1_measur11(G, k2_zfmisc_1(A, B)), F)) &  (k12_supinf_2(k20_measur11(A, B, C, D, E, G), F)=k6_mesfunc5(A, C, E, k3_mesfun12(A, B, k6_numbers, k1_measur11(G, k2_zfmisc_1(A, B)), F)) & k12_supinf_2(k20_measur11(A, B, C, D, E, G), F)=k5_mesfunc5(A, C, E, k3_mesfun12(A, B, k6_numbers, k1_measur11(G, k2_zfmisc_1(A, B)), F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (v1_xreal_0(E) => k7_mesfunc5(A, B, C, k1_mesfun11(A, k1_measur11(D, A), E))=k4_xxreal_3(E, k7_mesfunc5(A, B, C, k1_measur11(D, A)))) ) ) ) ) ) ) ) ) ) ).
fof(t55_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  (m1_subset_1(F, B) =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [H] :  (v1_xreal_0(H) =>  (v4_measur11(E, A, C) =>  (k12_supinf_2(k1_mesfun11(B, k20_measur11(A, B, C, D, E, G), H), F)=k7_mesfunc5(A, C, E, k3_mesfun12(A, B, k6_numbers, k1_mesfun12(G, k2_zfmisc_1(A, B), H), F)) &  (r1_xxreal_0(k5_numbers, H) => k12_supinf_2(k1_mesfun11(B, k20_measur11(A, B, C, D, E, G), H), F)=k6_mesfunc5(A, C, E, k3_mesfun12(A, B, k6_numbers, k1_mesfun12(G, k2_zfmisc_1(A, B), H), F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, D, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, B, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [H] :  (v1_xreal_0(H) =>  (v4_measur11(E, B, D) =>  (k12_supinf_2(k1_mesfun11(A, k19_measur11(A, B, C, D, E, G), H), F)=k7_mesfunc5(B, D, E, k2_mesfun12(A, B, k6_numbers, k1_mesfun12(G, k2_zfmisc_1(A, B), H), F)) &  (r1_xxreal_0(k5_numbers, H) => k12_supinf_2(k1_mesfun11(A, k19_measur11(A, B, C, D, E, G), H), F)=k6_mesfunc5(B, D, E, k2_mesfun12(A, B, k6_numbers, k1_mesfun12(G, k2_zfmisc_1(A, B), H), F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (r2_tarski(k1_relset_1(A, D), B) &  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, k1_relset_1(A, D)) => k5_numbers=k12_supinf_2(D, E)) ) ) )  =>  ( (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (r1_tarski(E, k1_relset_1(A, D)) => r1_mesfunc1(A, B, D, E)) ) )  & k7_mesfunc5(A, B, C, D)=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t58_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_partfun1(k2_zfmisc_1(A, B), C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(k2_zfmisc_1(A, B), C))))) )  =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, B) =>  (v1_mesfunc8(D, k2_zfmisc_1(A, B), C) =>  (v1_mesfunc8(k4_mesfun12(A, B, C, D, E), B, C) & v1_mesfunc8(k5_mesfun12(A, B, C, D, F), A, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, C, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, B, k6_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) )  =>  (F=k6_mesfun12(A, B, C, D, E) <=>  (! [G] :  (m1_subset_1(G, B) => k12_supinf_2(F, G)=k7_mesfunc5(A, C, D, k3_mesfun12(A, B, k6_numbers, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, C, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, k6_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  (F=k7_mesfun12(A, B, C, D, E) <=>  (! [G] :  (m1_subset_1(G, A) => k12_supinf_2(F, G)=k7_mesfunc5(B, C, D, k2_mesfun12(A, B, k6_numbers, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers))))  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(B), D) =>  ( (v4_measur11(E, A, C) &  (r2_relset_1(A, B, G, k1_relset_1(k2_zfmisc_1(A, B), F)) & r1_mesfunc1(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), F, G)) )  =>  ( ( ~ (v6_supinf_2(F))  &  ~ (v2_mesfunc5(F)) )  | r1_mesfunc1(B, D, k6_mesfun12(A, B, C, E, F), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, D, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, B, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers))))  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(A), C) =>  ( (v4_measur11(E, B, D) &  (r2_relset_1(A, B, G, k1_relset_1(k2_zfmisc_1(A, B), F)) & r1_mesfunc1(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), F, G)) )  =>  ( ( ~ (v6_supinf_2(F))  &  ~ (v2_mesfunc5(F)) )  | r1_mesfunc1(A, C, k7_mesfun12(A, B, D, E, F), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  (m1_subset_1(F, B) =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (v4_measur11(E, A, C) => k12_supinf_2(k20_measur11(A, B, C, D, E, G), F)=k7_mesfunc5(A, C, E, k1_measur11(k10_measur11(A, B, C, D, G, F), A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, D, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, B, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (v4_measur11(E, B, D) => k12_supinf_2(k19_measur11(A, B, C, D, E, G), F)=k7_mesfunc5(B, D, E, k1_measur11(k9_measur11(A, B, C, D, G, F), B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, B) =>  (r2_relset_1(B, k6_numbers, k2_mesfun12(A, B, k6_numbers, k1_measur11(E, k2_zfmisc_1(A, B)), F), k1_measur11(k9_measur11(A, B, C, D, E, F), B)) & r2_relset_1(A, k6_numbers, k3_mesfun12(A, B, k6_numbers, k1_measur11(E, k2_zfmisc_1(A, B)), G), k1_measur11(k10_measur11(A, B, C, D, E, G), A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (v4_measur11(E, A, C) => r2_funct_2(B, k6_numbers, k20_measur11(A, B, C, D, E, F), k6_mesfun12(A, B, C, E, k1_measur11(F, k2_zfmisc_1(A, B))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, D, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, B, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (v4_measur11(E, B, D) => r2_funct_2(A, k6_numbers, k19_measur11(A, B, C, D, E, F), k7_mesfun12(A, B, D, E, k1_measur11(F, k2_zfmisc_1(A, B))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  => k8_mesfun12(A, B, C, D, E, F)=k6_measur11(A, B, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers))))  =>  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [I] :  (m2_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  ( (r2_relset_1(A, B, H, k1_relset_1(k2_zfmisc_1(A, B), G)) &  (v6_supinf_2(G) & r1_mesfunc1(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), G, H)) )  =>  (v6_supinf_2(k6_mesfun12(A, B, C, E, G)) &  (v6_supinf_2(k6_mesfun12(A, B, C, E, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, G, I))) &  (v6_supinf_2(k7_mesfun12(A, B, D, F, G)) & v6_supinf_2(k7_mesfun12(A, B, D, F, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, G, I)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers))))  =>  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [I] :  (m2_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  ( (r2_relset_1(A, B, H, k1_relset_1(k2_zfmisc_1(A, B), G)) &  (v2_mesfunc5(G) & r1_mesfunc1(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), G, H)) )  =>  (v2_mesfunc5(k6_mesfun12(A, B, C, E, G)) &  (v2_mesfunc5(k6_mesfun12(A, B, C, E, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, G, I))) &  (v2_mesfunc5(k7_mesfun12(A, B, D, F, G)) & v2_mesfunc5(k7_mesfun12(A, B, D, F, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, G, I)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers))))  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [I] :  (m2_subset_1(I, k1_zfmisc_1(B), D) =>  ( (v4_measur11(E, A, C) &  (r2_relset_1(A, B, G, k1_relset_1(k2_zfmisc_1(A, B), F)) & r1_mesfunc1(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), F, G)) )  =>  ( ( ~ (v6_supinf_2(F))  &  ~ (v2_mesfunc5(F)) )  | r1_mesfunc1(B, D, k6_mesfun12(A, B, C, E, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, F, H)), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t69_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, D, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, B, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers))))  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [I] :  (m2_subset_1(I, k1_zfmisc_1(A), C) =>  ( (v4_measur11(E, B, D) &  (r2_relset_1(A, B, G, k1_relset_1(k2_zfmisc_1(A, B), F)) & r1_mesfunc1(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), F, G)) )  =>  ( ( ~ (v6_supinf_2(F))  &  ~ (v2_mesfunc5(F)) )  | r1_mesfunc1(A, C, k7_mesfun12(A, B, D, E, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, F, H)), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers))))  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [H] :  (m1_subset_1(H, B) =>  ( (r2_relset_1(A, B, G, k1_relset_1(k2_zfmisc_1(A, B), F)) &  (r1_mesfunc1(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), F, G) &  (! [I] :  (m1_subset_1(I, A) =>  (r2_tarski(I, k1_relset_1(A, k3_mesfun12(A, B, k6_numbers, F, H))) => k12_supinf_2(k3_mesfun12(A, B, k6_numbers, F, H), I)=k5_numbers) ) ) ) )  =>  ( ( ~ (v6_supinf_2(F))  &  ~ (v2_mesfunc5(F)) )  | k12_supinf_2(k6_mesfun12(A, B, C, E, F), H)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, D, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, B, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers))))  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [H] :  (m1_subset_1(H, A) =>  ( (r2_relset_1(A, B, G, k1_relset_1(k2_zfmisc_1(A, B), F)) &  (r1_mesfunc1(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), F, G) &  (! [I] :  (m1_subset_1(I, B) =>  (r2_tarski(I, k1_relset_1(B, k2_mesfun12(A, B, k6_numbers, F, H))) => k12_supinf_2(k2_mesfun12(A, B, k6_numbers, F, H), I)=k5_numbers) ) ) ) )  =>  ( ( ~ (v6_supinf_2(F))  &  ~ (v2_mesfunc5(F)) )  | k12_supinf_2(k7_mesfun12(A, B, D, E, F), H)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t72_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [I] :  (m2_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [J] :  ( (v1_funct_1(J) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers))))  =>  ( (r2_relset_1(A, B, G, k1_relset_1(k2_zfmisc_1(A, B), J)) &  (r1_mesfunc1(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), J, G) & r1_xboole_0(H, I)) )  =>  ( ( ~ (v6_supinf_2(J))  &  ~ (v2_mesfunc5(J)) )  |  (r2_relset_1(B, k6_numbers, k6_mesfun12(A, B, C, E, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, J, k1_measure1(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), H, I))), k3_mesfunc1(B, k6_mesfun12(A, B, C, E, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, J, H)), k6_mesfun12(A, B, C, E, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, J, I)))) & r2_relset_1(A, k6_numbers, k7_mesfun12(A, B, D, F, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, J, k1_measure1(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), H, I))), k3_mesfunc1(A, k7_mesfun12(A, B, D, F, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, J, H)), k7_mesfun12(A, B, D, F, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, J, I))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t73_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers))))  =>  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  ( (r2_relset_1(A, B, H, k1_relset_1(k2_zfmisc_1(A, B), G)) & r1_mesfunc1(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), G, H))  =>  (r2_funct_2(B, k6_numbers, k6_mesfun12(A, B, C, E, k7_mesfunc1(k2_zfmisc_1(A, B), G)), k1_dblseq_3(B, k6_mesfun12(A, B, C, E, G))) & r2_funct_2(A, k6_numbers, k7_mesfun12(A, B, D, F, k7_mesfunc1(k2_zfmisc_1(A, B), G)), k1_dblseq_3(A, k7_mesfun12(A, B, D, F, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t74_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers))))  =>  (! [H] :  ( (v1_funct_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers))))  =>  (! [I] :  (m2_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [J] :  (m2_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  ( (r2_relset_1(A, B, I, k1_relset_1(k2_zfmisc_1(A, B), G)) &  (v6_supinf_2(G) &  (r1_mesfunc1(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), G, I) &  (r2_relset_1(A, B, J, k1_relset_1(k2_zfmisc_1(A, B), H)) &  (v6_supinf_2(H) & r1_mesfunc1(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), H, J)) ) ) ) )  =>  (r2_relset_1(B, k6_numbers, k6_mesfun12(A, B, C, E, k3_mesfunc1(k2_zfmisc_1(A, B), G, H)), k3_mesfunc1(B, k6_mesfun12(A, B, C, E, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, G, k1_relset_1(k2_zfmisc_1(A, B), k3_mesfunc1(k2_zfmisc_1(A, B), G, H)))), k6_mesfun12(A, B, C, E, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, H, k1_relset_1(k2_zfmisc_1(A, B), k3_mesfunc1(k2_zfmisc_1(A, B), G, H)))))) & r2_relset_1(A, k6_numbers, k7_mesfun12(A, B, D, F, k3_mesfunc1(k2_zfmisc_1(A, B), G, H)), k3_mesfunc1(A, k7_mesfun12(A, B, D, F, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, G, k1_relset_1(k2_zfmisc_1(A, B), k3_mesfunc1(k2_zfmisc_1(A, B), G, H)))), k7_mesfun12(A, B, D, F, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, H, k1_relset_1(k2_zfmisc_1(A, B), k3_mesfunc1(k2_zfmisc_1(A, B), G, H))))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers))))  =>  (! [H] :  ( (v1_funct_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers))))  =>  (! [I] :  (m2_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [J] :  (m2_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  ( (r2_relset_1(A, B, I, k1_relset_1(k2_zfmisc_1(A, B), G)) &  (v2_mesfunc5(G) &  (r1_mesfunc1(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), G, I) &  (r2_relset_1(A, B, J, k1_relset_1(k2_zfmisc_1(A, B), H)) &  (v2_mesfunc5(H) & r1_mesfunc1(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), H, J)) ) ) ) )  =>  (r2_relset_1(B, k6_numbers, k6_mesfun12(A, B, C, E, k3_mesfunc1(k2_zfmisc_1(A, B), G, H)), k3_mesfunc1(B, k6_mesfun12(A, B, C, E, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, G, k1_relset_1(k2_zfmisc_1(A, B), k3_mesfunc1(k2_zfmisc_1(A, B), G, H)))), k6_mesfun12(A, B, C, E, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, H, k1_relset_1(k2_zfmisc_1(A, B), k3_mesfunc1(k2_zfmisc_1(A, B), G, H)))))) & r2_relset_1(A, k6_numbers, k7_mesfun12(A, B, D, F, k3_mesfunc1(k2_zfmisc_1(A, B), G, H)), k3_mesfunc1(A, k7_mesfun12(A, B, D, F, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, G, k1_relset_1(k2_zfmisc_1(A, B), k3_mesfunc1(k2_zfmisc_1(A, B), G, H)))), k7_mesfun12(A, B, D, F, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, H, k1_relset_1(k2_zfmisc_1(A, B), k3_mesfunc1(k2_zfmisc_1(A, B), G, H))))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t76_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers))))  =>  (! [H] :  ( (v1_funct_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers))))  =>  (! [I] :  (m2_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [J] :  (m2_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  ( (r2_relset_1(A, B, I, k1_relset_1(k2_zfmisc_1(A, B), G)) &  (v6_supinf_2(G) &  (r1_mesfunc1(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), G, I) &  (r2_relset_1(A, B, J, k1_relset_1(k2_zfmisc_1(A, B), H)) &  (v2_mesfunc5(H) & r1_mesfunc1(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), H, J)) ) ) ) )  =>  (r2_relset_1(B, k6_numbers, k6_mesfun12(A, B, C, E, k4_mesfunc1(k2_zfmisc_1(A, B), G, H)), k4_mesfunc1(B, k6_mesfun12(A, B, C, E, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, G, k1_relset_1(k2_zfmisc_1(A, B), k4_mesfunc1(k2_zfmisc_1(A, B), G, H)))), k6_mesfun12(A, B, C, E, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, H, k1_relset_1(k2_zfmisc_1(A, B), k4_mesfunc1(k2_zfmisc_1(A, B), G, H)))))) &  (r2_relset_1(B, k6_numbers, k6_mesfun12(A, B, C, E, k4_mesfunc1(k2_zfmisc_1(A, B), H, G)), k4_mesfunc1(B, k6_mesfun12(A, B, C, E, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, H, k1_relset_1(k2_zfmisc_1(A, B), k4_mesfunc1(k2_zfmisc_1(A, B), H, G)))), k6_mesfun12(A, B, C, E, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, G, k1_relset_1(k2_zfmisc_1(A, B), k4_mesfunc1(k2_zfmisc_1(A, B), H, G)))))) &  (r2_relset_1(A, k6_numbers, k7_mesfun12(A, B, D, F, k4_mesfunc1(k2_zfmisc_1(A, B), G, H)), k4_mesfunc1(A, k7_mesfun12(A, B, D, F, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, G, k1_relset_1(k2_zfmisc_1(A, B), k4_mesfunc1(k2_zfmisc_1(A, B), G, H)))), k7_mesfun12(A, B, D, F, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, H, k1_relset_1(k2_zfmisc_1(A, B), k4_mesfunc1(k2_zfmisc_1(A, B), G, H)))))) & r2_relset_1(A, k6_numbers, k7_mesfun12(A, B, D, F, k4_mesfunc1(k2_zfmisc_1(A, B), H, G)), k4_mesfunc1(A, k7_mesfun12(A, B, D, F, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, H, k1_relset_1(k2_zfmisc_1(A, B), k4_mesfunc1(k2_zfmisc_1(A, B), H, G)))), k7_mesfun12(A, B, D, F, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, G, k1_relset_1(k2_zfmisc_1(A, B), k4_mesfunc1(k2_zfmisc_1(A, B), H, G))))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t77_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  ( (v4_measur11(E, A, C) & v4_measur11(F, B, D))  =>  (k7_mesfunc5(A, C, E, k19_measur11(A, B, C, D, F, G))=k7_mesfunc5(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), k8_mesfun12(A, B, C, D, E, F), k1_measur11(G, k2_zfmisc_1(A, B))) & k7_mesfunc5(B, D, F, k20_measur11(A, B, C, D, E, G))=k7_mesfunc5(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), k8_mesfun12(A, B, C, D, E, F), k1_measur11(G, k2_zfmisc_1(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t78_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [H] :  ( (v1_funct_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers))))  =>  (! [I] :  (v1_xreal_0(I) =>  ( (r2_relset_1(A, B, G, k1_relset_1(k2_zfmisc_1(A, B), H)) & r1_mesfunc1(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), H, G))  =>  ( ( ~ (v6_supinf_2(H))  &  ~ (v2_mesfunc5(H)) )  |  (r2_funct_2(B, k6_numbers, k6_mesfun12(A, B, C, E, k6_mesfunc1(k2_zfmisc_1(A, B), H, I)), k1_mesfun11(B, k6_mesfun12(A, B, C, E, H), I)) & r2_funct_2(A, k6_numbers, k7_mesfun12(A, B, D, F, k6_mesfunc1(k2_zfmisc_1(A, B), H, I)), k1_mesfun11(A, k7_mesfun12(A, B, D, F, H), I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t79_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (r2_funct_2(B, k6_numbers, k6_mesfun12(A, B, C, E, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, k1_measur11(G, k2_zfmisc_1(A, B)), G)), k6_mesfun12(A, B, C, E, k1_measur11(G, k2_zfmisc_1(A, B)))) & r2_funct_2(A, k6_numbers, k7_mesfun12(A, B, D, F, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, k1_measur11(G, k2_zfmisc_1(A, B)), G)), k7_mesfun12(A, B, D, F, k1_measur11(G, k2_zfmisc_1(A, B))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t80_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (r2_funct_2(B, k6_numbers, k6_mesfun12(A, B, C, E, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, k5_measur10(G, k2_zfmisc_1(A, B)), G)), k6_mesfun12(A, B, C, E, k5_measur10(G, k2_zfmisc_1(A, B)))) & r2_funct_2(A, k6_numbers, k7_mesfun12(A, B, D, F, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, k5_measur10(G, k2_zfmisc_1(A, B)), G)), k7_mesfun12(A, B, D, F, k5_measur10(G, k2_zfmisc_1(A, B))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t81_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [H] :  (v1_xxreal_0(H) =>  (r2_funct_2(B, k6_numbers, k6_mesfun12(A, B, C, E, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, k1_mesfun12(G, k2_zfmisc_1(A, B), H), G)), k6_mesfun12(A, B, C, E, k1_mesfun12(G, k2_zfmisc_1(A, B), H))) & r2_funct_2(A, k6_numbers, k7_mesfun12(A, B, D, F, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, k1_mesfun12(G, k2_zfmisc_1(A, B), H), G)), k7_mesfun12(A, B, D, F, k1_mesfun12(G, k2_zfmisc_1(A, B), H)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t82_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  ( (v4_measur11(E, A, C) & v4_measur11(F, B, D))  =>  (k7_mesfunc5(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), k8_mesfun12(A, B, C, D, E, F), k1_measur11(G, k2_zfmisc_1(A, B)))=k7_mesfunc5(B, D, F, k6_mesfun12(A, B, C, E, k1_measur11(G, k2_zfmisc_1(A, B)))) &  (k7_mesfunc5(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), k8_mesfun12(A, B, C, D, E, F), k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, k1_measur11(G, k2_zfmisc_1(A, B)), G))=k7_mesfunc5(B, D, F, k6_mesfun12(A, B, C, E, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, k1_measur11(G, k2_zfmisc_1(A, B)), G))) &  (k7_mesfunc5(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), k8_mesfun12(A, B, C, D, E, F), k1_measur11(G, k2_zfmisc_1(A, B)))=k7_mesfunc5(A, C, E, k7_mesfun12(A, B, D, F, k1_measur11(G, k2_zfmisc_1(A, B)))) & k7_mesfunc5(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), k8_mesfun12(A, B, C, D, E, F), k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, k1_measur11(G, k2_zfmisc_1(A, B)), G))=k7_mesfunc5(A, C, E, k7_mesfun12(A, B, D, F, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, k1_measur11(G, k2_zfmisc_1(A, B)), G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t83_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [H] :  (v1_xreal_0(H) =>  ( (v4_measur11(E, A, C) & v4_measur11(F, B, D))  =>  (k7_mesfunc5(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), k8_mesfun12(A, B, C, D, E, F), k1_mesfun12(G, k2_zfmisc_1(A, B), H))=k7_mesfunc5(B, D, F, k6_mesfun12(A, B, C, E, k1_mesfun12(G, k2_zfmisc_1(A, B), H))) &  (k7_mesfunc5(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), k8_mesfun12(A, B, C, D, E, F), k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, k1_mesfun12(G, k2_zfmisc_1(A, B), H), G))=k7_mesfunc5(B, D, F, k6_mesfun12(A, B, C, E, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, k1_mesfun12(G, k2_zfmisc_1(A, B), H), G))) &  (k7_mesfunc5(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), k8_mesfun12(A, B, C, D, E, F), k1_mesfun12(G, k2_zfmisc_1(A, B), H))=k7_mesfunc5(A, C, E, k7_mesfun12(A, B, D, F, k1_mesfun12(G, k2_zfmisc_1(A, B), H))) & k7_mesfunc5(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), k8_mesfun12(A, B, C, D, E, F), k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, k1_mesfun12(G, k2_zfmisc_1(A, B), H), G))=k7_mesfunc5(A, C, E, k7_mesfun12(A, B, D, F, k2_partfun1(k2_zfmisc_1(A, B), k6_numbers, k1_mesfun12(G, k2_zfmisc_1(A, B), H), G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t84_mesfun12, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) =>  (! [H] :  ( (v1_funct_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers))))  =>  ( (v4_measur11(E, A, C) &  (v4_measur11(F, B, D) &  (r2_relset_1(A, B, G, k1_relset_1(k2_zfmisc_1(A, B), H)) & r1_mesfunc1(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), H, G)) ) )  =>  ( ( ~ (v6_supinf_2(H))  &  ~ (v2_mesfunc5(H)) )  |  (k7_mesfunc5(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), k8_mesfun12(A, B, C, D, E, F), H)=k7_mesfunc5(B, D, F, k6_mesfun12(A, B, C, E, H)) & k7_mesfunc5(k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), k8_mesfun12(A, B, C, D, E, F), H)=k7_mesfunc5(A, C, E, k7_mesfun12(A, B, D, F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_mesfun12, axiom,  (! [A, B, C] :  (v1_xxreal_0(C) =>  (v1_funct_1(k1_mesfun12(A, B, C)) &  (v1_funct_2(k1_mesfun12(A, B, C), B, k6_numbers) & m1_subset_1(k1_mesfun12(A, B, C), k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ).
fof(dt_k2_mesfun12, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C))))  & m1_subset_1(E, A)) ) )  =>  (v1_funct_1(k2_mesfun12(A, B, C, D, E)) & m1_subset_1(k2_mesfun12(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(B, C)))) ) ) ).
fof(dt_k3_mesfun12, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C))))  & m1_subset_1(E, B)) ) )  =>  (v1_funct_1(k3_mesfun12(A, B, C, D, E)) & m1_subset_1(k3_mesfun12(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(A, C)))) ) ) ).
fof(dt_k4_mesfun12, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_partfun1(k2_zfmisc_1(A, B), C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(k2_zfmisc_1(A, B), C))))) )  & m1_subset_1(E, A)) ) ) )  =>  (v1_funct_1(k4_mesfun12(A, B, C, D, E)) &  (v1_funct_2(k4_mesfun12(A, B, C, D, E), k4_ordinal1, k4_partfun1(B, C)) & m1_subset_1(k4_mesfun12(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(B, C))))) ) ) ) ).
fof(dt_k5_mesfun12, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_partfun1(k2_zfmisc_1(A, B), C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(k2_zfmisc_1(A, B), C))))) )  & m1_subset_1(E, B)) ) ) )  =>  (v1_funct_1(k5_mesfun12(A, B, C, D, E)) &  (v1_funct_2(k5_mesfun12(A, B, C, D, E), k4_ordinal1, k4_partfun1(A, C)) & m1_subset_1(k5_mesfun12(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, C))))) ) ) ) ).
fof(dt_k6_mesfun12, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, C, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  &  (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers)))) ) ) ) )  =>  (v1_funct_1(k6_mesfun12(A, B, C, D, E)) &  (v1_funct_2(k6_mesfun12(A, B, C, D, E), B, k6_numbers) & m1_subset_1(k6_mesfun12(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ).
fof(dt_k7_mesfun12, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, C, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  &  (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k6_numbers)))) ) ) ) )  =>  (v1_funct_1(k7_mesfun12(A, B, C, D, E)) &  (v1_funct_2(k7_mesfun12(A, B, C, D, E), A, k6_numbers) & m1_subset_1(k7_mesfun12(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ) ).
fof(dt_k8_mesfun12, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  &  (v1_funct_1(F) &  (v1_funct_2(F, D, k6_numbers) &  (v10_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k8_mesfun12(A, B, C, D, E, F)) &  (v1_funct_2(k8_mesfun12(A, B, C, D, E, F), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), k6_numbers) &  (v10_valued_0(k8_mesfun12(A, B, C, D, E, F)) &  (v6_supinf_2(k8_mesfun12(A, B, C, D, E, F)) &  (v4_measure1(k8_mesfun12(A, B, C, D, E, F), k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) & m1_subset_1(k8_mesfun12(A, B, C, D, E, F), k1_zfmisc_1(k2_zfmisc_1(k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), k6_numbers)))) ) ) ) ) ) ) ).
fof(rc1_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k1_numbers) &  (v1_funct_1(B) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) & v6_supinf_2(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_mesfun6c, axiom,  (! [A, B, C] :  ( ( (v1_xreal_0(A) &  ~ (v3_xxreal_0(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v6_supinf_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) ) ) )  =>  (v1_funct_1(k2_mesfun6c(A, B, C)) & v6_supinf_2(k2_mesfun6c(A, B, C))) ) ) ).
fof(t1_mesfun6c, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (k2_xcmplx_0(A, B)=k2_xcmplx_0(A, B) &  (k4_xcmplx_0(A)=k4_xcmplx_0(A) &  (k6_xcmplx_0(A, B)=k6_xcmplx_0(A, B) & k3_xcmplx_0(A, B)=k3_xcmplx_0(A, B)) ) ) ) ) ) ) ).
fof(d1_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (r1_mesfun6c(A, B, C, D) <=>  (r1_mesfunc6(A, B, k5_comseq_3(A, C), D) & r1_mesfunc6(A, B, k6_comseq_3(A, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(t2_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  (r2_relset_1(A, k1_numbers, k26_valued_1(A, k1_numbers, k5_comseq_3(A, B), C), k5_comseq_3(A, k25_valued_1(A, k2_numbers, B, C))) & r2_relset_1(A, k1_numbers, k26_valued_1(A, k1_numbers, k6_comseq_3(A, B), C), k6_comseq_3(A, k25_valued_1(A, k2_numbers, B, C)))) ) ) ) ) ) ) ).
fof(t3_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  (v1_xcmplx_0(C) =>  (r2_relset_1(A, k1_numbers, k5_comseq_3(A, k25_valued_1(A, k2_numbers, B, C)), k47_valued_1(A, k1_numbers, k1_numbers, k26_valued_1(A, k1_numbers, k5_comseq_3(A, B), k3_complex1(C)), k26_valued_1(A, k1_numbers, k6_comseq_3(A, B), k4_complex1(C)))) & r2_relset_1(A, k1_numbers, k6_comseq_3(A, k25_valued_1(A, k2_numbers, B, C)), k3_valued_1(A, k1_numbers, k1_numbers, k26_valued_1(A, k1_numbers, k5_comseq_3(A, B), k4_complex1(C)), k26_valued_1(A, k1_numbers, k6_comseq_3(A, B), k3_complex1(C))))) ) ) ) ) ) ) ).
fof(t4_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (r2_relset_1(A, k1_numbers, k32_valued_1(A, k1_numbers, k6_comseq_3(A, B)), k5_comseq_3(A, k25_valued_1(A, k2_numbers, B, k7_complex1))) & r2_relset_1(A, k1_numbers, k5_comseq_3(A, B), k6_comseq_3(A, k25_valued_1(A, k2_numbers, B, k7_complex1)))) ) ) ) ) ).
fof(t5_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (r2_relset_1(A, k1_numbers, k5_comseq_3(A, k2_valued_1(A, k2_numbers, k2_numbers, B, C)), k3_valued_1(A, k1_numbers, k1_numbers, k5_comseq_3(A, B), k5_comseq_3(A, C))) & r2_relset_1(A, k1_numbers, k6_comseq_3(A, k2_valued_1(A, k2_numbers, k2_numbers, B, C)), k3_valued_1(A, k1_numbers, k1_numbers, k6_comseq_3(A, B), k6_comseq_3(A, C)))) ) ) ) ) ) ) ).
fof(t6_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (r2_relset_1(A, k1_numbers, k5_comseq_3(A, k46_valued_1(A, k2_numbers, k2_numbers, B, C)), k47_valued_1(A, k1_numbers, k1_numbers, k5_comseq_3(A, B), k5_comseq_3(A, C))) & r2_relset_1(A, k1_numbers, k6_comseq_3(A, k46_valued_1(A, k2_numbers, k2_numbers, B, C)), k47_valued_1(A, k1_numbers, k1_numbers, k6_comseq_3(A, B), k6_comseq_3(A, C)))) ) ) ) ) ) ) ).
fof(t7_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (r2_relset_1(A, k1_numbers, k2_partfun1(A, k1_numbers, k5_comseq_3(A, C), D), k5_comseq_3(A, k2_partfun1(A, k2_numbers, C, D))) & r2_relset_1(A, k1_numbers, k2_partfun1(A, k1_numbers, k6_comseq_3(A, C), D), k6_comseq_3(A, k2_partfun1(A, k2_numbers, C, D)))) ) ) ) ) ) ) ) ) ).
fof(t8_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  => r2_relset_1(A, k2_numbers, B, k2_valued_1(A, k1_numbers, k2_numbers, k5_comseq_3(A, B), k25_valued_1(A, k1_numbers, k6_comseq_3(A, B), k7_complex1)))) ) ) ) ).
fof(t9_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  ( (r1_tarski(E, D) & r1_mesfun6c(A, B, C, D))  => r1_mesfun6c(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  ( (r1_mesfun6c(A, B, C, D) & r1_mesfun6c(A, B, C, E))  => r1_mesfun6c(A, B, C, k6_prob_1(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  ( (r1_mesfun6c(A, B, C, E) & r1_mesfun6c(A, B, D, E))  => r1_mesfun6c(A, B, k2_valued_1(A, k2_numbers, k2_numbers, C, D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  ( (r1_mesfun6c(A, B, C, E) &  (r1_mesfun6c(A, B, D, E) & r1_tarski(E, k1_relset_1(A, D))) )  => r1_mesfun6c(A, B, k46_valued_1(A, k2_numbers, k2_numbers, C, D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (r1_tarski(B, k1_relset_1(A, k2_valued_1(A, k2_numbers, k2_numbers, C, D))) =>  (k1_relset_1(A, k2_valued_1(A, k2_numbers, k2_numbers, k2_partfun1(A, k2_numbers, C, B), k2_partfun1(A, k2_numbers, D, B)))=B & r2_relset_1(A, k2_numbers, k2_partfun1(A, k2_numbers, k2_valued_1(A, k2_numbers, k2_numbers, C, D), B), k2_valued_1(A, k2_numbers, k2_numbers, k2_partfun1(A, k2_numbers, C, B), k2_partfun1(A, k2_numbers, D, B)))) ) ) ) ) ) ) ) ) ).
fof(t14_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  ( (r1_mesfun6c(A, B, C, E) & D=k9_subset_1(A, k1_relset_1(A, C), E))  => r1_mesfun6c(A, B, k2_partfun1(A, k2_numbers, C, E), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  ( (r2_tarski(k1_relset_1(A, C), B) & r2_tarski(k1_relset_1(A, D), B))  => r2_tarski(k1_relset_1(A, k2_valued_1(A, k2_numbers, k2_numbers, C, D)), B)) ) ) ) ) ) ) ) ) ).
fof(t16_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (k1_relset_1(A, C)=D =>  (r1_mesfun6c(A, B, C, E) <=> r1_mesfun6c(A, B, C, k5_prob_1(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  ( (r1_mesfun6c(A, B, C, E) & r1_tarski(E, k1_relset_1(A, C)))  => r1_mesfun6c(A, B, k25_valued_1(A, k2_numbers, C, D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  ( (? [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) & k1_relset_1(A, C)=D) )  =>  (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (r1_mesfun6c(A, B, C, E) => r1_mesfun6c(A, B, k25_valued_1(A, k2_numbers, C, D), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (r2_mesfun6c(A, B, C, D) <=>  (r3_mesfunc6(A, B, C, k5_comseq_3(A, D)) & r3_mesfunc6(A, B, C, k6_comseq_3(A, D))) ) ) ) ) ) ) ) ) ) ).
fof(d3_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (r2_mesfun6c(A, B, C, D) =>  (! [E] :  (v1_xcmplx_0(E) =>  (E=k1_mesfun6c(A, B, C, D) <=>  (? [F] :  (v1_xreal_0(F) &  (? [G] :  (v1_xreal_0(G) &  (F=k1_mesfunc6(A, B, C, k5_comseq_3(A, D)) &  (G=k1_mesfunc6(A, B, C, k6_comseq_3(A, D)) & E=k2_xcmplx_0(F, k3_xcmplx_0(G, k7_complex1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (k12_supinf_2(C, E)=k5_numbers =>  ( (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ~ ( (F=k1_relset_1(A, D) & r1_mesfunc1(A, B, D, F)) ) ) )  | r1_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  (k12_supinf_2(C, F)=k5_numbers =>  ( (! [G] :  (m2_subset_1(G, k1_zfmisc_1(A), B) =>  ~ ( (G=k1_relset_1(A, D) & r1_mesfunc6(A, B, D, G)) ) ) )  | r3_mesfunc6(A, B, C, k2_partfun1(A, k1_numbers, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (k12_supinf_2(C, E)=k5_numbers =>  ( (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ~ ( (F=k1_relset_1(A, D) & r1_mesfun6c(A, B, D, F)) ) ) )  |  (r2_mesfun6c(A, B, C, k2_partfun1(A, k2_numbers, D, E)) & k1_mesfun6c(A, B, C, k2_partfun1(A, k2_numbers, D, E))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ( (E=k1_relset_1(A, D) &  (r2_mesfun6c(A, B, C, D) & k12_supinf_2(C, F)=k5_numbers) )  => k1_mesfun6c(A, B, C, k2_partfun1(A, k2_numbers, D, k7_prob_1(A, B, E, F)))=k1_mesfun6c(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (r2_mesfun6c(A, B, C, D) => r2_mesfun6c(A, B, C, k2_partfun1(A, k2_numbers, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ( (r2_mesfun6c(A, B, C, D) & r1_xboole_0(E, F))  => k1_mesfun6c(A, B, C, k2_partfun1(A, k2_numbers, D, k6_prob_1(A, B, E, F)))=k2_xcmplx_0(k1_mesfun6c(A, B, C, k2_partfun1(A, k2_numbers, D, E)), k1_mesfun6c(A, B, C, k2_partfun1(A, k2_numbers, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ( (r2_mesfun6c(A, B, C, D) & F=k7_subset_1(A, k1_relset_1(A, D), E))  =>  (r2_mesfun6c(A, B, C, k2_partfun1(A, k2_numbers, D, E)) & k1_mesfun6c(A, B, C, D)=k2_xcmplx_0(k1_mesfun6c(A, B, C, k2_partfun1(A, k2_numbers, D, E)), k1_mesfun6c(A, B, C, k2_partfun1(A, k2_numbers, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_mesfun6c, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (D=k2_mesfun6c(A, B, C) <=>  (k1_relset_1(B, D)=k1_relset_1(B, C) &  (! [E] :  (m1_subset_1(E, B) =>  (r2_tarski(E, k1_relset_1(B, D)) => k12_supinf_2(D, E)=k2_power(k12_supinf_2(C, E), A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_mesfun6c, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(B), C) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  ( (v6_supinf_2(E) & r1_xxreal_0(k5_numbers, A))  => v6_supinf_2(k2_mesfun6c(A, B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_mesfun6c, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(B), C) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (v6_supinf_2(E) => k2_power(k1_funct_1(E, A), k2_extreal1(1, 2))=k3_square_1(k1_funct_1(E, A))) ) ) ) ) ) ) ) ) ) ).
fof(t28_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(A), B) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  (v1_xreal_0(E) =>  (r1_tarski(C, k1_relset_1(A, D)) => k8_subset_1(A, C, k10_mesfunc1(D, E))=k7_subset_1(A, C, k8_subset_1(A, C, k13_mesfunc1(D, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_mesfun6c, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(B), C) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  ( (v6_supinf_2(E) &  (r1_xxreal_0(k5_numbers, A) &  (r1_tarski(D, k1_relset_1(B, E)) & r1_mesfunc6(B, C, E, D)) ) )  => r1_mesfunc6(B, C, k2_mesfun6c(A, B, E), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  ( (r1_mesfun6c(A, B, C, D) & r1_tarski(D, k1_relset_1(A, C)))  => r1_mesfunc6(A, B, k55_valued_1(A, k2_numbers, C), D)) ) ) ) ) ) ) ) ) ).
fof(t31_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  ( (? [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) &  (E=k1_relset_1(A, D) & r1_mesfun6c(A, B, D, E)) ) )  =>  (r2_mesfun6c(A, B, C, D) <=> r3_mesfunc6(A, B, C, k55_valued_1(A, k2_numbers, D))) ) ) ) ) ) ) ) ) ) ).
fof(t32_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  ( (r2_mesfun6c(A, B, C, D) & r2_mesfun6c(A, B, C, E))  => r2_tarski(k1_relset_1(A, k2_valued_1(A, k2_numbers, k2_numbers, D, E)), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  ( (r2_mesfun6c(A, B, C, D) & r2_mesfun6c(A, B, C, E))  => r2_mesfun6c(A, B, C, k2_valued_1(A, k2_numbers, k2_numbers, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (r3_mesfunc6(A, B, C, D) & r3_mesfunc6(A, B, C, E))  => r3_mesfunc6(A, B, C, k47_valued_1(A, k1_numbers, k1_numbers, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  ( (r2_mesfun6c(A, B, C, D) & r2_mesfun6c(A, B, C, E))  => r2_mesfun6c(A, B, C, k46_valued_1(A, k2_numbers, k2_numbers, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  ~ ( (r2_mesfun6c(A, B, C, D) &  (r2_mesfun6c(A, B, C, E) &  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ~ ( (F=k9_subset_1(A, k1_relset_1(A, D), k1_relset_1(A, E)) & k1_mesfun6c(A, B, C, k2_valued_1(A, k2_numbers, k2_numbers, D, E))=k2_xcmplx_0(k1_mesfun6c(A, B, C, k2_partfun1(A, k2_numbers, D, F)), k1_mesfun6c(A, B, C, k2_partfun1(A, k2_numbers, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ~ ( (r3_mesfunc6(A, B, C, D) &  (r3_mesfunc6(A, B, C, E) &  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ~ ( (F=k9_subset_1(A, k1_relset_1(A, D), k1_relset_1(A, E)) & k1_mesfunc6(A, B, C, k47_valued_1(A, k1_numbers, k1_numbers, D, E))=k3_supinf_2(k1_mesfunc6(A, B, C, k2_partfun1(A, k1_numbers, D, F)), k1_mesfunc6(A, B, C, k2_partfun1(A, k1_numbers, k32_valued_1(A, k1_numbers, E), F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  (v1_xreal_0(E) =>  (r2_mesfun6c(A, B, C, D) =>  (r2_mesfun6c(A, B, C, k25_valued_1(A, k2_numbers, D, E)) & k1_mesfun6c(A, B, C, k25_valued_1(A, k2_numbers, D, E))=k3_xcmplx_0(E, k1_mesfun6c(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (r2_mesfun6c(A, B, C, D) =>  (r2_mesfun6c(A, B, C, k25_valued_1(A, k2_numbers, D, k7_complex1)) & k1_mesfun6c(A, B, C, k25_valued_1(A, k2_numbers, D, k7_complex1))=k3_xcmplx_0(k7_complex1, k1_mesfun6c(A, B, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t40_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  (v1_xcmplx_0(E) =>  (r2_mesfun6c(A, B, C, D) =>  (r2_mesfun6c(A, B, C, k25_valued_1(A, k2_numbers, D, E)) & k1_mesfun6c(A, B, C, k25_valued_1(A, k2_numbers, D, E))=k3_xcmplx_0(E, k1_mesfun6c(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (! [D] :  (v1_xreal_0(D) => r2_relset_1(A, k1_numbers, k2_partfun1(A, k1_numbers, k26_valued_1(A, k1_numbers, B, D), C), k26_valued_1(A, k1_numbers, k2_partfun1(A, k1_numbers, B, C), D))) ) ) ) ) ) ) ).
fof(t42_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ~ ( ( (? [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) &  (F=k9_subset_1(A, k1_relset_1(A, D), k1_relset_1(A, E)) &  (r1_mesfunc6(A, B, D, F) & r1_mesfunc6(A, B, E, F)) ) ) )  &  (r3_mesfunc6(A, B, C, D) &  (r3_mesfunc6(A, B, C, E) &  (v6_supinf_2(k47_valued_1(A, k1_numbers, k1_numbers, E, D)) &  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ~ ( (F=k9_subset_1(A, k1_relset_1(A, D), k1_relset_1(A, E)) & r1_xxreal_0(k1_mesfunc6(A, B, C, k2_partfun1(A, k1_numbers, D, F)), k1_mesfunc6(A, B, C, k2_partfun1(A, k1_numbers, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (r2_mesfun6c(A, B, C, D) =>  ( (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  ~ ( (E=k1_relset_1(A, D) & r1_mesfun6c(A, B, D, E)) ) ) )  | r1_xxreal_0(k9_complex1(k1_mesfun6c(A, B, C, D)), k1_mesfunc6(A, B, C, k55_valued_1(A, k2_numbers, D)))) ) ) ) ) ) ) ) ) ) ).
fof(d5_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) => k3_mesfun6c(A, B, C, D, E)=k1_mesfun6c(A, B, C, k2_partfun1(A, k2_numbers, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t44_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ( (r2_mesfun6c(A, B, C, D) &  (r2_mesfun6c(A, B, C, E) & r1_tarski(F, k1_relset_1(A, k2_valued_1(A, k2_numbers, k2_numbers, D, E)))) )  =>  (r2_mesfun6c(A, B, C, k2_valued_1(A, k2_numbers, k2_numbers, D, E)) & k3_mesfun6c(A, B, C, k2_valued_1(A, k2_numbers, k2_numbers, D, E), F)=k2_xcmplx_0(k3_mesfun6c(A, B, C, D, F), k3_mesfun6c(A, B, C, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  (v1_xcmplx_0(E) =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  (r2_mesfun6c(A, B, C, D) => k3_mesfun6c(A, B, C, k25_valued_1(A, k2_numbers, D, E), F)=k3_xcmplx_0(E, k3_mesfun6c(A, B, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(A), B) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  (v1_xreal_0(E) =>  (r1_tarski(C, k1_relset_1(A, D)) => k8_subset_1(A, C, k13_mesfunc1(D, E))=k7_subset_1(A, C, k8_subset_1(A, C, k10_mesfunc1(D, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(A), B) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  (v1_xreal_0(E) =>  (r1_tarski(C, k1_relset_1(A, D)) => k8_subset_1(A, C, k12_mesfunc1(D, E))=k7_subset_1(A, C, k8_subset_1(A, C, k11_mesfunc1(D, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(A), B) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  (v1_xreal_0(E) =>  (r1_tarski(C, k1_relset_1(A, D)) => k8_subset_1(A, C, k11_mesfunc1(D, E))=k7_subset_1(A, C, k8_subset_1(A, C, k12_mesfunc1(D, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_mesfun6c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(A), B) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  (v1_xreal_0(E) => k8_subset_1(A, C, k10_relat_1(D, E))=k8_subset_1(A, k8_subset_1(A, C, k13_mesfunc1(D, E)), k11_mesfunc1(D, E))) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_mesfun6c, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) ) ) )  => v1_xcmplx_0(k1_mesfun6c(A, B, C, D))) ) ).
fof(dt_k2_mesfun6c, axiom,  (! [A, B, C] :  ( (v1_xreal_0(A) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) ) )  =>  (v1_funct_1(k2_mesfun6c(A, B, C)) & m1_subset_1(k2_mesfun6c(A, B, C), k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) ) ) ).
fof(dt_k3_mesfun6c, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  &  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  & m1_subset_1(E, B)) ) ) )  => v1_xcmplx_0(k3_mesfun6c(A, B, C, D, E))) ) ).
fof(fc1_mesfun7c, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_funct_1(k1_mesfunc5(A, B)) & v1_partfun1(k1_mesfunc5(A, B), A)) ) ) ).
fof(fc2_mesfun7c, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) &  (v1_mesfunc8(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) ) ) )  =>  (v1_funct_1(k1_mesfun7c(A, B)) &  (v1_funct_2(k1_mesfun7c(A, B), k4_ordinal1, k4_partfun1(A, k6_numbers)) & v1_mesfunc8(k1_mesfun7c(A, B), A, k6_numbers)) ) ) ) ).
fof(fc3_mesfun7c, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k2_numbers)) &  (v1_mesfunc8(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) ) ) )  =>  (v1_funct_1(k11_mesfun7c(A, B)) &  (v1_funct_2(k11_mesfun7c(A, B), k4_ordinal1, k4_partfun1(A, k1_numbers)) & v1_mesfunc8(k11_mesfun7c(A, B), A, k1_numbers)) ) ) ) ).
fof(fc4_mesfun7c, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k2_numbers)) &  (v1_mesfunc8(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) ) ) )  =>  (v1_funct_1(k12_mesfun7c(A, B)) &  (v1_funct_2(k12_mesfun7c(A, B), k4_ordinal1, k4_partfun1(A, k1_numbers)) & v1_mesfunc8(k12_mesfun7c(A, B), A, k1_numbers)) ) ) ) ).
fof(d1_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  => k1_mesfun7c(A, B)=B) ) ) ) ).
fof(t1_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  =>  (! [C] :  (m1_subset_1(C, A) => r1_funct_2(k4_ordinal1, k1_numbers, k4_ordinal1, k6_numbers, k10_seqfunc(A, B, C), k3_mesfunc5(A, k1_mesfun7c(A, B), C))) ) ) ) ) ) ).
fof(d2_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  => k2_mesfun7c(A, B)=k1_mesfunc8(A, k1_mesfun7c(A, B))) ) ) ) ).
fof(t2_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (r2_tarski(C, k1_relset_1(A, k2_mesfun7c(A, B))) => k12_supinf_2(k2_mesfun7c(A, B), C)=k7_supinf_2(k15_supinf_2(k1_mesfunc5(k4_ordinal1, k10_seqfunc(A, B, C))))) ) ) ) ) ) ) ).
fof(d3_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  => k3_mesfun7c(A, B)=k2_mesfunc8(A, k1_mesfun7c(A, B))) ) ) ) ).
fof(t3_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (r2_tarski(C, k1_relset_1(A, k3_mesfun7c(A, B))) => k12_supinf_2(k3_mesfun7c(A, B), C)=k8_supinf_2(k15_supinf_2(k1_mesfunc5(k4_ordinal1, k10_seqfunc(A, B, C))))) ) ) ) ) ) ) ).
fof(d4_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  => k4_mesfun7c(A, B)=k3_mesfunc8(A, k1_mesfun7c(A, B))) ) ) ) ).
fof(t4_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (k1_relset_1(A, k4_mesfunc5(A, k6_numbers, k4_mesfun7c(A, B), C))=k1_relset_1(A, k4_mesfunc5(A, k1_numbers, B, k5_numbers)) &  (! [D] :  (m1_subset_1(D, A) =>  (r2_tarski(D, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, k4_mesfun7c(A, B), C))) => k12_supinf_2(k4_mesfunc5(A, k6_numbers, k4_mesfun7c(A, B), C), D)=k12_supinf_2(k3_rinfsup2(k1_mesfunc5(k4_ordinal1, k10_seqfunc(A, B, D))), C)) ) ) ) ) ) ) ) ) ) ).
fof(d5_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  => k5_mesfun7c(A, B)=k4_mesfunc8(A, k1_mesfun7c(A, B))) ) ) ) ).
fof(t5_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (k1_relset_1(A, k4_mesfunc5(A, k6_numbers, k5_mesfun7c(A, B), C))=k1_relset_1(A, k4_mesfunc5(A, k1_numbers, B, k5_numbers)) &  (! [D] :  (m1_subset_1(D, A) =>  (r2_tarski(D, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, k5_mesfun7c(A, B), C))) => k12_supinf_2(k4_mesfunc5(A, k6_numbers, k5_mesfun7c(A, B), C), D)=k12_supinf_2(k4_rinfsup2(k1_mesfunc5(k4_ordinal1, k10_seqfunc(A, B, D))), C)) ) ) ) ) ) ) ) ) ) ).
fof(t6_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (r2_tarski(C, k1_relset_1(A, k4_mesfunc5(A, k1_numbers, B, k5_numbers))) => r2_funct_2(k4_ordinal1, k6_numbers, k3_mesfunc5(A, k4_mesfun7c(A, B), C), k3_rinfsup2(k1_mesfunc5(k4_ordinal1, k10_seqfunc(A, B, C))))) ) ) ) ) ) ) ).
fof(t7_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) &  (v1_mesfunc8(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), C) =>  (! [E] :  (v7_ordinal1(E) =>  (r1_mesfunc6(A, C, k4_mesfunc5(A, k1_numbers, B, E), D) => r1_mesfunc1(A, C, k4_mesfunc5(A, k6_numbers, k1_mesfun7c(A, B), E), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  =>  (! [C] :  (v7_ordinal1(C) => r2_funct_2(k4_ordinal1, k4_partfun1(A, k6_numbers), k7_nat_1(k4_partfun1(A, k6_numbers), k1_mesfun7c(A, B), C), k1_mesfun7c(A, k7_nat_1(k4_partfun1(A, k1_numbers), B, C)))) ) ) ) ) ) ).
fof(t9_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) &  (v1_mesfunc8(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) ) )  =>  (! [C] :  (v7_ordinal1(C) => r2_relset_1(A, k6_numbers, k4_mesfunc5(A, k6_numbers, k4_mesfun7c(A, B), C), k2_mesfun7c(A, k7_nat_1(k4_partfun1(A, k1_numbers), B, C)))) ) ) ) ) ) ).
fof(t10_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) &  (v1_mesfunc8(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) ) )  =>  (! [C] :  (v7_ordinal1(C) => r2_relset_1(A, k6_numbers, k4_mesfunc5(A, k6_numbers, k5_mesfun7c(A, B), C), k3_mesfun7c(A, k7_nat_1(k4_partfun1(A, k1_numbers), B, C)))) ) ) ) ) ) ).
fof(t11_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (r2_tarski(C, k1_relset_1(A, k4_mesfunc5(A, k1_numbers, B, k5_numbers))) => r2_funct_2(k4_ordinal1, k6_numbers, k3_mesfunc5(A, k5_mesfun7c(A, B), C), k4_rinfsup2(k1_mesfunc5(k4_ordinal1, k10_seqfunc(A, B, C))))) ) ) ) ) ) ) ).
fof(d6_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  => k6_mesfun7c(A, B)=k5_mesfunc8(A, k1_mesfun7c(A, B))) ) ) ) ).
fof(t12_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (r2_tarski(C, k1_relset_1(A, k6_mesfun7c(A, B))) => k12_supinf_2(k6_mesfun7c(A, B), C)=k6_rinfsup2(k1_mesfunc5(k4_ordinal1, k10_seqfunc(A, B, C)))) ) ) ) ) ) ) ).
fof(d7_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  => k7_mesfun7c(A, B)=k6_mesfunc8(A, k1_mesfun7c(A, B))) ) ) ) ).
fof(t13_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (r2_tarski(C, k1_relset_1(A, k7_mesfun7c(A, B))) => k12_supinf_2(k7_mesfun7c(A, B), C)=k5_rinfsup2(k1_mesfunc5(k4_ordinal1, k10_seqfunc(A, B, C)))) ) ) ) ) ) ) ).
fof(d8_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  => k8_mesfun7c(A, B)=k7_mesfunc8(A, k1_mesfun7c(A, B))) ) ) ) ).
fof(t14_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (r2_tarski(C, k1_relset_1(A, k8_mesfun7c(A, B))) => k12_supinf_2(k8_mesfun7c(A, B), C)=k2_mesfunc5(k1_mesfunc5(k4_ordinal1, k10_seqfunc(A, B, C)))) ) ) ) ) ) ) ).
fof(t15_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  ( (r2_tarski(C, k1_relset_1(A, k8_mesfun7c(A, B))) & v2_comseq_2(k10_seqfunc(A, B, C)))  =>  (k12_supinf_2(k8_mesfun7c(A, B), C)=k12_supinf_2(k7_mesfun7c(A, B), C) & k12_supinf_2(k8_mesfun7c(A, B), C)=k12_supinf_2(k6_mesfun7c(A, B), C)) ) ) ) ) ) ) ) ).
fof(t16_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k1_numbers)) &  (v1_mesfunc8(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) ) )  =>  (! [D] :  ( (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [E] :  (v1_xreal_0(E) =>  ( (! [F] :  (v7_ordinal1(F) => k1_funct_1(D, F)=k8_subset_1(A, k1_relset_1(A, k4_mesfunc5(A, k1_numbers, C, k5_numbers)), k12_mesfunc1(k4_mesfunc5(A, k1_numbers, C, F), E))) )  => k3_tarski(k2_relset_1(B, D))=k9_subset_1(A, k1_relset_1(A, k4_mesfunc5(A, k1_numbers, C, k5_numbers)), k16_mesfunc1(A, k3_mesfun7c(A, C), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k1_numbers)) &  (v1_mesfunc8(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) ) )  =>  (! [D] :  ( (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [E] :  (v1_xreal_0(E) =>  ( (! [F] :  (v7_ordinal1(F) => k1_funct_1(D, F)=k8_subset_1(A, k1_relset_1(A, k4_mesfunc5(A, k1_numbers, C, k5_numbers)), k13_mesfunc1(k4_mesfunc5(A, k1_numbers, C, F), E))) )  => k1_setfam_1(k2_relset_1(B, D))=k9_subset_1(A, k1_relset_1(A, k4_mesfunc5(A, k1_numbers, C, k5_numbers)), k17_mesfunc1(A, k2_mesfun7c(A, C), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k1_numbers)) &  (v1_mesfunc8(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  ( (k1_relset_1(A, k4_mesfunc5(A, k1_numbers, C, k5_numbers))=D &  (! [E] :  (v7_ordinal1(E) => r1_mesfunc6(A, B, k4_mesfunc5(A, k1_numbers, C, E), D)) ) )  => r1_mesfunc1(A, B, k7_mesfun7c(A, C), D)) ) ) ) ) ) ) ) ) ).
fof(t19_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k1_numbers)) &  (v1_mesfunc8(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  ( (k1_relset_1(A, k4_mesfunc5(A, k1_numbers, C, k5_numbers))=D &  (! [E] :  (v7_ordinal1(E) => r1_mesfunc6(A, B, k4_mesfunc5(A, k1_numbers, C, E), D)) ) )  => r1_mesfunc1(A, B, k6_mesfun7c(A, C), D)) ) ) ) ) ) ) ) ) ).
fof(t20_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  ( (r2_tarski(C, k1_relset_1(A, k4_mesfunc5(A, k1_numbers, B, k5_numbers))) & v2_comseq_2(k10_seqfunc(A, B, C)))  => v1_rinfsup2(k3_mesfunc5(A, k5_mesfun7c(A, B), C))) ) ) ) ) ) ) ).
fof(t21_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k1_numbers)) &  (v1_mesfunc8(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  ( (k1_relset_1(A, k4_mesfunc5(A, k1_numbers, C, k5_numbers))=D &  ( (! [E] :  (v7_ordinal1(E) => r1_mesfunc6(A, B, k4_mesfunc5(A, k1_numbers, C, E), D)) )  &  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, D) => v2_comseq_2(k10_seqfunc(A, C, E))) ) ) ) )  => r1_mesfunc1(A, B, k8_mesfun7c(A, C), D)) ) ) ) ) ) ) ) ) ).
fof(t22_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k1_numbers)) &  (v1_mesfunc8(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  ( (k1_relset_1(A, k4_mesfunc5(A, k1_numbers, C, k5_numbers))=E &  ( (! [F] :  (v7_ordinal1(F) => r1_mesfunc6(A, B, k4_mesfunc5(A, k1_numbers, C, F), E)) )  &  (k1_relset_1(A, D)=E &  (! [F] :  (m1_subset_1(F, A) =>  (r2_tarski(F, E) =>  (v2_comseq_2(k10_seqfunc(A, C, F)) & k12_supinf_2(D, F)=k1_seq_2(k10_seqfunc(A, C, F))) ) ) ) ) ) )  => r1_mesfunc1(A, B, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k2_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k2_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  (D=k9_mesfun7c(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) => k1_funct_1(D, E)=k1_funct_1(k4_mesfunc5(A, k2_numbers, B, E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k2_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (C=k10_mesfun7c(A, B) <=>  (k1_relset_1(A, C)=k1_relset_1(A, k4_mesfunc5(A, k2_numbers, B, k5_numbers)) &  (! [D] :  (m1_subset_1(D, A) =>  (r2_tarski(D, k1_relset_1(A, C)) => k1_funct_1(C, D)=k3_comseq_2(k9_mesfun7c(A, B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k2_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  =>  (C=k11_mesfun7c(A, B) <=>  (! [D] :  (v7_ordinal1(D) =>  (k1_relset_1(A, k4_mesfunc5(A, k1_numbers, C, D))=k1_relset_1(A, k4_mesfunc5(A, k2_numbers, B, D)) &  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, k1_relset_1(A, k4_mesfunc5(A, k1_numbers, C, D))) => k12_supinf_2(k4_mesfunc5(A, k1_numbers, C, D), E)=k12_supinf_2(k7_comseq_3(k9_mesfun7c(A, B, E)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k2_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  =>  (C=k12_mesfun7c(A, B) <=>  (! [D] :  (v7_ordinal1(D) =>  (k1_relset_1(A, k4_mesfunc5(A, k1_numbers, C, D))=k1_relset_1(A, k4_mesfunc5(A, k2_numbers, B, D)) &  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, k1_relset_1(A, k4_mesfunc5(A, k1_numbers, C, D))) => k12_supinf_2(k4_mesfunc5(A, k1_numbers, C, D), E)=k12_supinf_2(k8_comseq_3(k9_mesfun7c(A, B, E)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k2_numbers)) &  (v1_mesfunc8(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) ) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (r2_tarski(C, k1_relset_1(A, k4_mesfunc5(A, k2_numbers, B, k5_numbers))) =>  (r2_funct_2(k4_ordinal1, k1_numbers, k10_seqfunc(A, k11_mesfun7c(A, B), C), k7_comseq_3(k9_mesfun7c(A, B, C))) & r2_funct_2(k4_ordinal1, k1_numbers, k10_seqfunc(A, k12_mesfun7c(A, B), C), k8_comseq_3(k9_mesfun7c(A, B, C)))) ) ) ) ) ) ) ) ).
fof(t24_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k2_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (r2_relset_1(A, k1_numbers, k4_mesfunc5(A, k1_numbers, k11_mesfun7c(A, B), C), k5_comseq_3(A, k4_mesfunc5(A, k2_numbers, B, C))) & r2_relset_1(A, k1_numbers, k4_mesfunc5(A, k1_numbers, k12_mesfun7c(A, B), C), k6_comseq_3(A, k4_mesfunc5(A, k2_numbers, B, C)))) ) ) ) ) ) ) ).
fof(t25_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k2_numbers)) &  (v1_mesfunc8(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) ) )  =>  ( (! [C] :  (m1_subset_1(C, A) =>  (r2_tarski(C, k1_relset_1(A, k4_mesfunc5(A, k2_numbers, B, k5_numbers))) => v2_comseq_2(k9_mesfun7c(A, B, C))) ) )  =>  (k8_mesfun7c(A, k11_mesfun7c(A, B))=k5_comseq_3(A, k10_mesfun7c(A, B)) & k8_mesfun7c(A, k12_mesfun7c(A, B))=k6_comseq_3(A, k10_mesfun7c(A, B))) ) ) ) ) ) ).
fof(t26_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k2_numbers)) &  (v1_mesfunc8(C, A, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  ( (k1_relset_1(A, k4_mesfunc5(A, k2_numbers, C, k5_numbers))=D &  ( (! [E] :  (v7_ordinal1(E) => r1_mesfun6c(A, B, k4_mesfunc5(A, k2_numbers, C, E), D)) )  &  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, D) => v2_comseq_2(k9_mesfun7c(A, C, E))) ) ) ) )  => r1_mesfun6c(A, B, k10_mesfun7c(A, C), D)) ) ) ) ) ) ) ) ) ).
fof(t27_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k2_numbers)) &  (v1_mesfunc8(C, A, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  ( (k1_relset_1(A, k4_mesfunc5(A, k2_numbers, C, k5_numbers))=E &  ( (! [F] :  (v7_ordinal1(F) => r1_mesfun6c(A, B, k4_mesfunc5(A, k2_numbers, C, F), E)) )  &  (k1_relset_1(A, D)=E &  (! [F] :  (m1_subset_1(F, A) =>  (r2_tarski(F, E) =>  (v2_comseq_2(k9_mesfun7c(A, C, F)) & k1_funct_1(D, F)=k3_comseq_2(k9_mesfun7c(A, C, F))) ) ) ) ) ) )  => r1_mesfun6c(A, B, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  (v1_xreal_0(D) => r2_relset_1(A, k2_numbers, k2_partfun1(A, k2_numbers, k25_valued_1(A, k2_numbers, C, D), B), k25_valued_1(A, k2_numbers, k2_partfun1(A, k2_numbers, C, B), D))) ) ) ) ) ) ) ).
fof(t29_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  ( (r1_xxreal_0(k5_numbers, D) &  (r1_tarski(E, k1_relset_1(A, C)) & r1_mesfun6c(A, B, C, E)) )  => r1_mesfunc6(A, B, k2_mesfun6c(D, A, k55_valued_1(A, k2_numbers, C)), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  => r2_relset_1(A, k6_numbers, k5_mesfunc1(A, k1_mesfunc5(A, B), k1_mesfunc5(A, C)), k1_mesfunc5(A, k20_valued_1(A, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ).
fof(t31_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(A), B) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (k9_subset_1(A, k1_relset_1(A, D), k1_relset_1(A, E))=C &  (r1_mesfunc6(A, B, D, C) & r1_mesfunc6(A, B, E, C)) )  => r1_mesfunc6(A, B, k20_valued_1(A, k1_numbers, k1_numbers, D, E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (r2_relset_1(A, k1_numbers, k5_comseq_3(A, k19_valued_1(A, k2_numbers, k2_numbers, B, C)), k47_valued_1(A, k1_numbers, k1_numbers, k20_valued_1(A, k1_numbers, k1_numbers, k5_comseq_3(A, B), k5_comseq_3(A, C)), k20_valued_1(A, k1_numbers, k1_numbers, k6_comseq_3(A, B), k6_comseq_3(A, C)))) & r2_relset_1(A, k1_numbers, k6_comseq_3(A, k19_valued_1(A, k2_numbers, k2_numbers, B, C)), k3_valued_1(A, k1_numbers, k1_numbers, k20_valued_1(A, k1_numbers, k1_numbers, k6_comseq_3(A, B), k5_comseq_3(A, C)), k20_valued_1(A, k1_numbers, k1_numbers, k5_comseq_3(A, B), k6_comseq_3(A, C))))) ) ) ) ) ) ) ).
fof(t33_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  ( (k9_subset_1(A, k1_relset_1(A, C), k1_relset_1(A, D))=E &  (r1_mesfun6c(A, B, C, E) & r1_mesfun6c(A, B, D, E)) )  => r1_mesfun6c(A, B, k19_valued_1(A, k2_numbers, k2_numbers, C, D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (v6_supinf_2(D) &  (v6_supinf_2(E) &  (! [F] :  (m1_subset_1(F, A) =>  (r2_tarski(F, k1_relset_1(A, E)) => r1_xxreal_0(k12_supinf_2(E, F), k12_supinf_2(D, F))) ) ) ) )  =>  ( (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ~ ( (F=k1_relset_1(A, D) &  (F=k1_relset_1(A, E) &  (r1_mesfunc6(A, B, D, F) & r1_mesfunc6(A, B, E, F)) ) ) ) ) )  | r1_xxreal_0(k1_mesfunc6(A, B, C, E), k1_mesfunc6(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (r2_mesfun6c(A, B, C, D) =>  ( (? [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) &  (E=k1_relset_1(A, D) & r1_mesfun6c(A, B, D, E)) ) )  & r3_mesfunc6(A, B, C, k55_valued_1(A, k2_numbers, D))) ) ) ) ) ) ) ) ) ) ).
fof(t36_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  ~ ( (r2_mesfun6c(A, B, C, D) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  ~ ( ( (! [F] :  (v7_ordinal1(F) => k1_funct_1(E, F)=k8_subset_1(A, k1_relset_1(A, D), k13_mesfunc1(k55_valued_1(A, k2_numbers, D), k2_extreal1(1, k1_nat_1(F, 1))))) )  &  (k7_subset_1(A, k1_relset_1(A, D), k10_relat_1(k55_valued_1(A, k2_numbers, D), k5_numbers))=k5_setfam_1(A, k4_measure1(A, B, E)) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(k1_funct_1(E, F), B) &  ~ (r1_xxreal_0(k1_supinf_1, k12_supinf_2(C, k1_funct_1(E, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] : r2_relset_1(A, k1_numbers, k2_partfun1(A, k1_numbers, k55_valued_1(A, k2_numbers, B), C), k55_valued_1(A, k2_numbers, k2_partfun1(A, k2_numbers, B, C)))) ) ) ) ) ).
fof(t38_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (k1_relset_1(A, k3_valued_1(A, k1_numbers, k1_numbers, k55_valued_1(A, k2_numbers, B), k55_valued_1(A, k2_numbers, C)))=k9_subset_1(A, k1_relset_1(A, B), k1_relset_1(A, C)) & r1_tarski(k1_relset_1(A, k55_valued_1(A, k2_numbers, k2_valued_1(A, k2_numbers, k2_numbers, B, C))), k1_relset_1(A, k55_valued_1(A, k2_numbers, B)))) ) ) ) ) ) ) ).
fof(t39_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  => r2_relset_1(A, k1_numbers, k3_valued_1(A, k1_numbers, k1_numbers, k2_partfun1(A, k1_numbers, k55_valued_1(A, k2_numbers, B), k1_relset_1(A, k55_valued_1(A, k2_numbers, k2_valued_1(A, k2_numbers, k2_numbers, B, C)))), k2_partfun1(A, k1_numbers, k55_valued_1(A, k2_numbers, C), k1_relset_1(A, k55_valued_1(A, k2_numbers, k2_valued_1(A, k2_numbers, k2_numbers, B, C))))), k2_partfun1(A, k1_numbers, k3_valued_1(A, k1_numbers, k1_numbers, k55_valued_1(A, k2_numbers, B), k55_valued_1(A, k2_numbers, C)), k1_relset_1(A, k55_valued_1(A, k2_numbers, k2_valued_1(A, k2_numbers, k2_numbers, B, C)))))) ) ) ) ) ) ).
fof(t40_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  (r2_tarski(D, k1_relset_1(A, k55_valued_1(A, k2_numbers, k2_valued_1(A, k2_numbers, k2_numbers, B, C)))) => r1_xxreal_0(k12_supinf_2(k55_valued_1(A, k2_numbers, k2_valued_1(A, k2_numbers, k2_numbers, B, C)), D), k12_supinf_2(k3_valued_1(A, k1_numbers, k1_numbers, k55_valued_1(A, k2_numbers, B), k55_valued_1(A, k2_numbers, C)), D))) ) ) ) ) ) ) ) ).
fof(t41_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (! [D] :  (r2_tarski(D, k1_relset_1(A, B)) => r1_xxreal_0(k12_supinf_2(B, D), k12_supinf_2(C, D))) )  => v6_supinf_2(k47_valued_1(A, k1_numbers, k1_numbers, C, B))) ) ) ) ) ) ) ).
fof(t42_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  ~ ( (r2_mesfun6c(A, B, C, D) &  (r2_mesfun6c(A, B, C, E) &  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ~ ( (F=k1_relset_1(A, k2_valued_1(A, k2_numbers, k2_numbers, D, E)) & r1_xxreal_0(k1_mesfunc6(A, B, C, k2_partfun1(A, k1_numbers, k55_valued_1(A, k2_numbers, k2_valued_1(A, k2_numbers, k2_numbers, D, E)), F)), k3_supinf_2(k1_mesfunc6(A, B, C, k2_partfun1(A, k1_numbers, k55_valued_1(A, k2_numbers, D), F)), k1_mesfunc6(A, B, C, k2_partfun1(A, k1_numbers, k55_valued_1(A, k2_numbers, E), F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (r1_mesfun7c(A, B, C) <=>  (? [D] :  ( (v1_prob_2(D) & m2_finseq_1(D, B))  &  (k1_relset_1(A, C)=k3_tarski(k2_relset_1(B, D)) &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) =>  ( (r2_tarski(E, k4_finseq_1(D)) &  (r2_tarski(F, k1_funct_1(D, E)) & r2_tarski(G, k1_funct_1(D, E))) )  => k1_funct_1(C, F)=k1_funct_1(C, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  ( (v1_prob_2(D) & m2_finseq_1(D, B))  =>  (! [E] :  (m2_finseq_1(E, k1_numbers) =>  (r2_mesfun7c(A, B, C, D, E) <=>  (k1_relset_1(A, C)=k3_tarski(k2_relset_1(B, D)) &  (k4_finseq_1(D)=k4_finseq_1(E) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k4_finseq_1(D)) =>  (! [G] :  (r2_tarski(G, k1_funct_1(D, F)) => k12_supinf_2(C, G)=k12_supinf_2(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  ( (v1_prob_2(D) & m2_finseq_1(D, B))  =>  (! [E] :  (m2_finseq_1(E, k2_numbers) =>  (r3_mesfun7c(A, B, C, D, E) <=>  (k1_relset_1(A, C)=k3_tarski(k2_relset_1(B, D)) &  (k4_finseq_1(D)=k4_finseq_1(E) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k4_finseq_1(D)) =>  (! [G] :  (r2_tarski(G, k1_funct_1(D, F)) => k1_funct_1(C, G)=k1_funct_1(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (r1_mesfun7c(A, B, C) <=>  (r2_mesfunc6(A, B, k5_comseq_3(A, C)) & r2_mesfunc6(A, B, k6_comseq_3(A, C))) ) ) ) ) ) ) ) ).
fof(t44_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  ~ ( (r1_mesfun7c(A, B, C) &  (! [D] :  ( (v1_prob_2(D) & m2_finseq_1(D, B))  =>  (! [E] :  (m2_finseq_1(E, k2_numbers) =>  ~ ( (k1_relset_1(A, C)=k3_tarski(k2_relset_1(B, D)) &  (k4_finseq_1(D)=k4_finseq_1(E) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k4_finseq_1(D)) =>  (! [G] :  (r2_tarski(G, k1_funct_1(D, F)) => k1_funct_1(C, G)=k1_funct_1(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (r1_mesfun7c(A, B, C) <=>  (? [D] :  ( (v1_prob_2(D) & m2_finseq_1(D, B))  &  (? [E] :  (m2_finseq_1(E, k2_numbers) & r3_mesfun7c(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_mesfun7c, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k4_finseq_1(k6_complsp2(A))) => k12_supinf_2(k6_complsp2(A), B)=k3_complex1(k1_funct_1(A, B))) ) ) ) ) ).
fof(t47_mesfun7c, axiom,  (! [A] :  (m2_finseq_1(A, k2_numbers) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k4_finseq_1(k7_complsp2(A))) => k12_supinf_2(k7_complsp2(A), B)=k4_complex1(k1_funct_1(A, B))) ) ) ) ) ).
fof(t48_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  ( (v1_prob_2(D) & m2_finseq_1(D, B))  =>  (! [E] :  (m2_finseq_1(E, k2_numbers) =>  (r3_mesfun7c(A, B, C, D, E) <=>  (r2_mesfun7c(A, B, k5_comseq_3(A, C), D, k6_complsp2(E)) & r2_mesfun7c(A, B, k6_comseq_3(A, C), D, k7_complsp2(E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_mesfun7c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (r1_mesfun7c(A, B, C) <=>  (? [D] :  ( (v1_prob_2(D) & m2_finseq_1(D, B))  &  (? [E] :  (m2_finseq_1(E, k2_numbers) &  (k1_relset_1(A, C)=k3_tarski(k2_relset_1(B, D)) &  (k4_finseq_1(D)=k4_finseq_1(E) &  ( (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k4_finseq_1(D)) =>  (! [G] :  (r2_tarski(G, k1_funct_1(D, F)) => k12_supinf_2(k5_comseq_3(A, C), G)=k12_supinf_2(k6_complsp2(E), F)) ) ) ) )  &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k4_finseq_1(D)) =>  (! [G] :  (r2_tarski(G, k1_funct_1(D, F)) => k12_supinf_2(k6_comseq_3(A, C), G)=k12_supinf_2(k7_complsp2(E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_mesfun7c, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) ) )  =>  (v1_funct_1(k1_mesfun7c(A, B)) &  (v1_funct_2(k1_mesfun7c(A, B), k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(k1_mesfun7c(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) ) ) ).
fof(dt_k2_mesfun7c, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) ) )  =>  (v1_funct_1(k2_mesfun7c(A, B)) & m1_subset_1(k2_mesfun7c(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ).
fof(dt_k3_mesfun7c, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) ) )  =>  (v1_funct_1(k3_mesfun7c(A, B)) & m1_subset_1(k3_mesfun7c(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ).
fof(dt_k4_mesfun7c, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) ) )  =>  (v1_funct_1(k4_mesfun7c(A, B)) &  (v1_funct_2(k4_mesfun7c(A, B), k4_ordinal1, k4_partfun1(A, k6_numbers)) &  (v1_mesfunc8(k4_mesfun7c(A, B), A, k6_numbers) & m1_subset_1(k4_mesfun7c(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) ) ) ) ).
fof(dt_k5_mesfun7c, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) ) )  =>  (v1_funct_1(k5_mesfun7c(A, B)) &  (v1_funct_2(k5_mesfun7c(A, B), k4_ordinal1, k4_partfun1(A, k6_numbers)) &  (v1_mesfunc8(k5_mesfun7c(A, B), A, k6_numbers) & m1_subset_1(k5_mesfun7c(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) ) ) ) ).
fof(dt_k6_mesfun7c, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) ) )  =>  (v1_funct_1(k6_mesfun7c(A, B)) & m1_subset_1(k6_mesfun7c(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ).
fof(dt_k7_mesfun7c, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) ) )  =>  (v1_funct_1(k7_mesfun7c(A, B)) & m1_subset_1(k7_mesfun7c(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ).
fof(dt_k8_mesfun7c, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) ) )  =>  (v1_funct_1(k8_mesfun7c(A, B)) & m1_subset_1(k8_mesfun7c(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ).
fof(dt_k9_mesfun7c, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k2_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) )  & m1_subset_1(C, A)) )  =>  (v1_funct_1(k9_mesfun7c(A, B, C)) &  (v1_funct_2(k9_mesfun7c(A, B, C), k4_ordinal1, k2_numbers) & m1_subset_1(k9_mesfun7c(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) ) ) ) ).
fof(dt_k10_mesfun7c, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k2_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) ) )  =>  (v1_funct_1(k10_mesfun7c(A, B)) & m1_subset_1(k10_mesfun7c(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) ) ) ).
fof(dt_k11_mesfun7c, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k2_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) ) )  =>  (v1_funct_1(k11_mesfun7c(A, B)) &  (v1_funct_2(k11_mesfun7c(A, B), k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(k11_mesfun7c(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) ) ) ) ).
fof(dt_k12_mesfun7c, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k2_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) ) )  =>  (v1_funct_1(k12_mesfun7c(A, B)) &  (v1_funct_2(k12_mesfun7c(A, B), k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(k12_mesfun7c(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) ) ) ) ).
fof(d1_mesfun9c, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, B))))) )  =>  (! [D] :  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k4_partfun1(A, B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, B))))) )  =>  (E=k1_mesfun9c(A, B, C, D) <=>  (! [F] :  (v7_ordinal1(F) => r2_relset_1(A, B, k4_mesfunc5(A, B, E, F), k2_partfun1(A, B, k4_mesfunc5(A, B, C, F), D))) ) ) ) ) ) ) ) ) ) ).
fof(t1_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (r2_tarski(C, D) & v2_comseq_2(k10_seqfunc(A, B, C)))  => v2_comseq_2(k10_seqfunc(A, k1_mesfun9c(A, k1_numbers, B, D), C))) ) ) ) ) ) ) ) ).
fof(t2_mesfun9c, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_partfun1(A, B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, B))))) )  =>  (v1_mesfunc8(D, A, B) => v1_mesfunc8(k1_mesfun9c(A, B, D, C), A, B)) ) ) ) ) ) ).
fof(t3_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  =>  (! [C] :  ( (r1_tarski(C, k1_relset_1(A, k4_mesfunc5(A, k1_numbers, B, k5_numbers))) &  (! [D] :  (m1_subset_1(D, A) =>  (r2_tarski(D, C) => v2_comseq_2(k10_seqfunc(A, B, D))) ) ) )  => r2_relset_1(A, k6_numbers, k2_partfun1(A, k6_numbers, k8_mesfun7c(A, B), C), k8_mesfun7c(A, k1_mesfun9c(A, k1_numbers, B, C)))) ) ) ) ) ) ).
fof(t4_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  =>  (! [E] :  (v7_ordinal1(E) =>  ( (v1_mesfunc8(D, A, k1_numbers) &  (r1_tarski(C, k1_relset_1(A, k4_mesfunc5(A, k1_numbers, D, k5_numbers))) &  (! [F] :  (v7_ordinal1(F) => r1_mesfunc6(A, B, k4_mesfunc5(A, k1_numbers, D, F), C)) ) ) )  => r1_mesfunc6(A, B, k4_mesfunc5(A, k1_numbers, k1_mesfun9c(A, k1_numbers, D, C), E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_mesfun9c, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  => r2_funct_2(k4_ordinal1, k6_numbers, k1_mesfunc9(k1_mesfunc5(k4_ordinal1, A)), k1_mesfunc5(k4_ordinal1, k3_series_1(A)))) ) ).
fof(t6_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  =>  ( (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, C) => v1_series_1(k10_seqfunc(A, D, E))) ) )  =>  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, C) => v1_series_1(k10_seqfunc(A, k1_mesfun9c(A, k1_numbers, D, C), E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  =>  (C=k2_mesfun9c(A, B) <=>  (r2_relset_1(A, k1_numbers, k4_mesfunc5(A, k1_numbers, C, k5_numbers), k4_mesfunc5(A, k1_numbers, B, k5_numbers)) &  (! [D] :  (v7_ordinal1(D) => r2_relset_1(A, k1_numbers, k4_mesfunc5(A, k1_numbers, C, k1_nat_1(D, 1)), k3_valued_1(A, k1_numbers, k1_numbers, k4_mesfunc5(A, k1_numbers, C, D), k4_mesfunc5(A, k1_numbers, B, k1_nat_1(D, 1))))) ) ) ) ) ) ) ) ) ) ).
fof(t7_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  => r2_funct_2(k4_ordinal1, k4_partfun1(A, k6_numbers), k3_mesfunc9(A, k1_mesfun7c(A, B)), k1_mesfun7c(A, k2_mesfun9c(A, B)))) ) ) ) ).
fof(t8_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (r2_tarski(E, k1_relset_1(A, k4_mesfunc5(A, k1_numbers, k2_mesfun9c(A, B), C))) & r1_xxreal_0(D, C))  =>  (r2_tarski(E, k1_relset_1(A, k4_mesfunc5(A, k1_numbers, k2_mesfun9c(A, B), D))) & r2_tarski(E, k1_relset_1(A, k4_mesfunc5(A, k1_numbers, B, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  => v2_mesfunc9(k1_mesfun7c(A, B), A)) ) ) ) ).
fof(t11_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (v1_mesfunc8(B, A, k1_numbers) => k1_relset_1(A, k4_mesfunc5(A, k1_numbers, k2_mesfun9c(A, B), C))=k1_relset_1(A, k4_mesfunc5(A, k1_numbers, B, k5_numbers))) ) ) ) ) ) ) ).
fof(t12_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  ( (v1_mesfunc8(B, A, k1_numbers) &  (r1_tarski(E, k1_relset_1(A, k4_mesfunc5(A, k1_numbers, B, k5_numbers))) & r2_tarski(D, E)) )  => k12_supinf_2(k3_series_1(k10_seqfunc(A, B, D)), C)=k12_supinf_2(k10_seqfunc(A, k2_mesfun9c(A, B), D), C)) ) ) ) ) ) ) ) ) ) ).
fof(t13_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_mesfunc8(B, A, k1_numbers) &  (r1_tarski(D, k1_relset_1(A, k4_mesfunc5(A, k1_numbers, B, k5_numbers))) & r2_tarski(C, D)) )  =>  (v2_comseq_2(k3_series_1(k10_seqfunc(A, B, C))) <=> v2_comseq_2(k10_seqfunc(A, k2_mesfun9c(A, B), C))) ) ) ) ) ) ) ) ) ).
fof(t14_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  (m1_subset_1(D, A) =>  ( (v1_mesfunc8(B, A, k1_numbers) &  (r1_tarski(k1_relset_1(A, C), k1_relset_1(A, k4_mesfunc5(A, k1_numbers, B, k5_numbers))) &  (r2_tarski(D, k1_relset_1(A, C)) & k12_supinf_2(C, D)=k4_series_1(k10_seqfunc(A, B, D))) ) )  => k12_supinf_2(C, D)=k1_seq_2(k10_seqfunc(A, k2_mesfun9c(A, B), D))) ) ) ) ) ) ) ) ) ).
fof(t15_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  =>  (! [D] :  (v7_ordinal1(D) =>  ( (! [E] :  (v7_ordinal1(E) => r2_mesfunc6(A, B, k4_mesfunc5(A, k1_numbers, C, E))) )  => r2_mesfunc6(A, B, k4_mesfunc5(A, k1_numbers, k2_mesfun9c(A, C), D))) ) ) ) ) ) ) ) ) ).
fof(t16_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  =>  (! [E] :  (v7_ordinal1(E) =>  ( (! [F] :  (v7_ordinal1(F) => r1_mesfunc6(A, B, k4_mesfunc5(A, k1_numbers, D, F), C)) )  => r1_mesfunc6(A, B, k4_mesfunc5(A, k1_numbers, k2_mesfun9c(A, D), E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  =>  (v1_mesfunc8(B, A, k1_numbers) => v1_mesfunc8(k2_mesfun9c(A, B), A, k1_numbers)) ) ) ) ) ).
fof(t18_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  =>  ( (k1_relset_1(A, k4_mesfunc5(A, k1_numbers, D, k5_numbers))=C &  (v1_mesfunc8(D, A, k1_numbers) &  ( (! [E] :  (v7_ordinal1(E) => r1_mesfunc6(A, B, k4_mesfunc5(A, k1_numbers, k2_mesfun9c(A, D), E), C)) )  &  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, C) => v1_series_1(k10_seqfunc(A, D, E))) ) ) ) ) )  => r1_mesfunc1(A, B, k8_mesfun7c(A, k2_mesfun9c(A, D)), C)) ) ) ) ) ) ) ) ) ).
fof(t19_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  =>  ( (! [E] :  (v7_ordinal1(E) => r3_mesfunc6(A, B, C, k4_mesfunc5(A, k1_numbers, D, E))) )  =>  (! [E] :  (v7_ordinal1(E) => r3_mesfunc6(A, B, C, k4_mesfunc5(A, k1_numbers, k2_mesfun9c(A, D), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [C] :  (r2_relset_1(A, k1_numbers, k2_partfun1(A, k1_numbers, k5_comseq_3(A, B), C), k5_comseq_3(A, k2_partfun1(A, k2_numbers, B, C))) & r2_relset_1(A, k1_numbers, k2_partfun1(A, k1_numbers, k6_comseq_3(A, B), C), k6_comseq_3(A, k2_partfun1(A, k2_numbers, B, C)))) ) ) ) ) ) ).
fof(t21_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k2_numbers)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) )  => r2_funct_2(k4_ordinal1, k4_partfun1(A, k1_numbers), k11_mesfun7c(A, k1_mesfun9c(A, k2_numbers, C, B)), k1_mesfun9c(A, k1_numbers, k11_mesfun7c(A, C), B))) ) ) ) ) ).
fof(t22_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k2_numbers)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) )  => r2_funct_2(k4_ordinal1, k4_partfun1(A, k1_numbers), k12_mesfun7c(A, k1_mesfun9c(A, k2_numbers, C, B)), k1_mesfun9c(A, k1_numbers, k12_mesfun7c(A, C), B))) ) ) ) ) ).
fof(t23_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_partfun1(A, k2_numbers)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) )  =>  ( (v1_mesfunc8(D, A, k2_numbers) &  (r1_tarski(C, k1_relset_1(A, k4_mesfunc5(A, k2_numbers, D, k5_numbers))) &  (r2_tarski(B, C) & v2_comseq_2(k9_mesfun7c(A, D, B))) ) )  => v2_comseq_2(k9_mesfun7c(A, k1_mesfun9c(A, k2_numbers, D, C), B))) ) ) ) ) ) ) ) ).
fof(t24_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k2_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) )  =>  (v1_mesfunc8(B, A, k2_numbers) <=> v1_mesfunc8(k11_mesfun7c(A, B), A, k1_numbers)) ) ) ) ) ).
fof(t25_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k2_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) )  =>  (v1_mesfunc8(k11_mesfun7c(A, B), A, k1_numbers) <=> v1_mesfunc8(k12_mesfun7c(A, B), A, k1_numbers)) ) ) ) ) ).
fof(t26_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k2_numbers)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) )  =>  ( (v1_mesfunc8(C, A, k2_numbers) &  (B=k1_relset_1(A, k4_mesfunc5(A, k2_numbers, C, k5_numbers)) &  (! [D] :  (m1_subset_1(D, A) =>  (r2_tarski(D, B) => v2_comseq_2(k9_mesfun7c(A, C, D))) ) ) ) )  => r2_relset_1(A, k2_numbers, k2_partfun1(A, k2_numbers, k10_mesfun7c(A, C), B), k10_mesfun7c(A, k1_mesfun9c(A, k2_numbers, C, B)))) ) ) ) ) ) ).
fof(t27_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k4_partfun1(A, k2_numbers)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) )  =>  ( (v1_mesfunc8(E, A, k2_numbers) &  (r1_tarski(C, k1_relset_1(A, k4_mesfunc5(A, k2_numbers, E, k5_numbers))) &  (! [F] :  (v7_ordinal1(F) => r1_mesfun6c(A, B, k4_mesfunc5(A, k2_numbers, E, F), C)) ) ) )  => r1_mesfun6c(A, B, k4_mesfunc5(A, k2_numbers, k1_mesfun9c(A, k2_numbers, E, C), D), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_partfun1(A, k2_numbers)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) )  =>  ( (r1_tarski(C, k1_relset_1(A, k4_mesfunc5(A, k2_numbers, D, k5_numbers))) &  (v1_mesfunc8(D, A, k2_numbers) &  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, C) => v1_comseq_3(k9_mesfun7c(A, D, E))) ) ) ) )  =>  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, C) => v1_comseq_3(k9_mesfun7c(A, k1_mesfun9c(A, k2_numbers, D, C), E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k2_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k2_numbers)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) )  =>  (C=k3_mesfun9c(A, B) <=>  (r2_relset_1(A, k2_numbers, k4_mesfunc5(A, k2_numbers, C, k5_numbers), k4_mesfunc5(A, k2_numbers, B, k5_numbers)) &  (! [D] :  (v7_ordinal1(D) => r2_relset_1(A, k2_numbers, k4_mesfunc5(A, k2_numbers, C, k1_nat_1(D, 1)), k2_valued_1(A, k2_numbers, k2_numbers, k4_mesfunc5(A, k2_numbers, C, D), k4_mesfunc5(A, k2_numbers, B, k1_nat_1(D, 1))))) ) ) ) ) ) ) ) ) ) ).
fof(t29_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k2_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) )  =>  (r2_funct_2(k4_ordinal1, k4_partfun1(A, k1_numbers), k2_mesfun9c(A, k11_mesfun7c(A, B)), k11_mesfun7c(A, k3_mesfun9c(A, B))) & r2_funct_2(k4_ordinal1, k4_partfun1(A, k1_numbers), k2_mesfun9c(A, k12_mesfun7c(A, B)), k12_mesfun7c(A, k3_mesfun9c(A, B)))) ) ) ) ) ).
fof(t30_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k4_partfun1(A, k2_numbers)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) )  =>  ( (r2_tarski(D, k1_relset_1(A, k4_mesfunc5(A, k2_numbers, k3_mesfun9c(A, E), B))) & r1_xxreal_0(C, B))  =>  (r2_tarski(D, k1_relset_1(A, k4_mesfunc5(A, k2_numbers, k3_mesfun9c(A, E), C))) & r2_tarski(D, k1_relset_1(A, k4_mesfunc5(A, k2_numbers, E, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k2_numbers)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) )  =>  (v1_mesfunc8(C, A, k2_numbers) => k1_relset_1(A, k4_mesfunc5(A, k2_numbers, k3_mesfun9c(A, C), B))=k1_relset_1(A, k4_mesfunc5(A, k2_numbers, C, k5_numbers))) ) ) ) ) ) ) ).
fof(t33_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k4_partfun1(A, k2_numbers)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) )  =>  ( (v1_mesfunc8(E, A, k2_numbers) &  (r1_tarski(D, k1_relset_1(A, k4_mesfunc5(A, k2_numbers, E, k5_numbers))) & r2_tarski(C, D)) )  => k8_nat_1(k2_numbers, k10_comseq_3(k9_mesfun7c(A, E, C)), B)=k8_nat_1(k2_numbers, k9_mesfun7c(A, k3_mesfun9c(A, E), C), B)) ) ) ) ) ) ) ) ) ) ).
fof(t34_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k2_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) )  =>  (v1_mesfunc8(B, A, k2_numbers) => v1_mesfunc8(k3_mesfun9c(A, B), A, k2_numbers)) ) ) ) ) ).
fof(t35_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_partfun1(A, k2_numbers)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) )  =>  ( (v1_mesfunc8(D, A, k2_numbers) &  (r1_tarski(C, k1_relset_1(A, k4_mesfunc5(A, k2_numbers, D, k5_numbers))) & r2_tarski(B, C)) )  =>  (v2_comseq_2(k10_comseq_3(k9_mesfun7c(A, D, B))) <=> v2_comseq_2(k9_mesfun7c(A, k3_mesfun9c(A, D), B))) ) ) ) ) ) ) ) ) ).
fof(t36_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k2_numbers)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  ( (v1_mesfunc8(C, A, k2_numbers) &  (r1_tarski(k1_relset_1(A, D), k1_relset_1(A, k4_mesfunc5(A, k2_numbers, C, k5_numbers))) &  (r2_tarski(B, k1_relset_1(A, D)) &  (v1_comseq_3(k9_mesfun7c(A, C, B)) & k1_funct_1(D, B)=k11_comseq_3(k9_mesfun7c(A, C, B))) ) ) )  => k1_funct_1(D, B)=k3_comseq_2(k9_mesfun7c(A, k3_mesfun9c(A, C), B))) ) ) ) ) ) ) ) ) ).
fof(t37_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_partfun1(A, k2_numbers)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) )  =>  ( (! [E] :  (v7_ordinal1(E) => r1_mesfun7c(A, B, k4_mesfunc5(A, k2_numbers, D, E))) )  => r1_mesfun7c(A, B, k4_mesfunc5(A, k2_numbers, k3_mesfun9c(A, D), C))) ) ) ) ) ) ) ) ) ).
fof(t38_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k4_partfun1(A, k2_numbers)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) )  =>  ( (! [F] :  (v7_ordinal1(F) => r1_mesfun6c(A, B, k4_mesfunc5(A, k2_numbers, E, F), C)) )  => r1_mesfun6c(A, B, k4_mesfunc5(A, k2_numbers, k3_mesfun9c(A, E), D), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_partfun1(A, k2_numbers)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) )  =>  ( (k1_relset_1(A, k4_mesfunc5(A, k2_numbers, D, k5_numbers))=C &  (v1_mesfunc8(D, A, k2_numbers) &  ( (! [E] :  (v7_ordinal1(E) => r1_mesfun6c(A, B, k4_mesfunc5(A, k2_numbers, k3_mesfun9c(A, D), E), C)) )  &  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, C) => v1_comseq_3(k9_mesfun7c(A, D, E))) ) ) ) ) )  => r1_mesfun6c(A, B, k10_mesfun7c(A, k3_mesfun9c(A, D)), C)) ) ) ) ) ) ) ) ) ).
fof(t40_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_partfun1(A, k2_numbers)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) )  =>  ( (! [E] :  (v7_ordinal1(E) => r2_mesfun6c(A, B, C, k4_mesfunc5(A, k2_numbers, D, E))) )  =>  (! [E] :  (v7_ordinal1(E) => r2_mesfun6c(A, B, C, k4_mesfunc5(A, k2_numbers, k3_mesfun9c(A, D), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  (m1_subset_1(D, B) =>  (r1_mesfun7c(A, B, C) => r1_mesfun6c(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t42_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  (m1_subset_1(D, B) =>  (r1_mesfun7c(A, B, C) => r1_mesfun7c(A, B, k2_partfun1(A, k2_numbers, C, D))) ) ) ) ) ) ) ) ) ).
fof(t43_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (r1_mesfun7c(A, B, C) => m1_subset_1(k1_relset_1(A, C), B)) ) ) ) ) ) ) ).
fof(t44_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  ( (r1_mesfun7c(A, B, C) & r1_mesfun7c(A, B, D))  => r1_mesfun7c(A, B, k2_valued_1(A, k2_numbers, k2_numbers, C, D))) ) ) ) ) ) ) ) ) ).
fof(t45_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (! [D] :  (v1_xcmplx_0(D) =>  (r1_mesfun7c(A, B, C) => r1_mesfun7c(A, B, k25_valued_1(A, k2_numbers, C, D))) ) ) ) ) ) ) ) ) ).
fof(t46_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k4_partfun1(A, k6_numbers)) &  (v1_mesfunc8(E, A, k6_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (D=k1_relset_1(A, k4_mesfunc5(A, k6_numbers, E, k5_numbers)) &  (D=k1_relset_1(A, F) &  ( (! [G] :  (v7_ordinal1(G) => r1_mesfunc1(A, B, k4_mesfunc5(A, k6_numbers, E, G), D)) )  &  (r1_mesfunc5(A, B, C, F) &  ( (! [G] :  (m1_subset_1(G, A) =>  (! [H] :  (v7_ordinal1(H) =>  (r2_tarski(G, D) => r1_xxreal_0(k12_supinf_2(k9_mesfunc1(A, k4_mesfunc5(A, k6_numbers, E, H)), G), k12_supinf_2(F, G))) ) ) ) )  &  (! [G] :  (m1_subset_1(G, A) =>  (r2_tarski(G, D) => v10_mesfunc5(k3_mesfunc5(A, E, G))) ) ) ) ) ) ) )  => r1_mesfunc5(A, B, C, k7_mesfunc8(A, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k4_partfun1(A, k1_numbers)) &  (v1_mesfunc8(E, A, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (D=k1_relset_1(A, k4_mesfunc5(A, k1_numbers, E, k5_numbers)) &  (D=k1_relset_1(A, F) &  ( (! [G] :  (v7_ordinal1(G) => r1_mesfunc6(A, B, k4_mesfunc5(A, k1_numbers, E, G), D)) )  &  (r3_mesfunc6(A, B, C, F) &  ( (! [G] :  (m1_subset_1(G, A) =>  (! [H] :  (v7_ordinal1(H) =>  (r2_tarski(G, D) => r1_xxreal_0(k12_supinf_2(k55_valued_1(A, k1_numbers, k4_mesfunc5(A, k1_numbers, E, H)), G), k12_supinf_2(F, G))) ) ) ) )  &  (! [G] :  (m1_subset_1(G, A) =>  (r2_tarski(G, D) => v2_comseq_2(k10_seqfunc(A, E, G))) ) ) ) ) ) ) )  => r1_mesfunc5(A, B, C, k8_mesfun7c(A, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k4_partfun1(A, k1_numbers)) &  (v1_mesfunc8(E, A, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ~ ( (D=k1_relset_1(A, k4_mesfunc5(A, k1_numbers, E, k5_numbers)) &  (D=k1_relset_1(A, F) &  ( (! [G] :  (v7_ordinal1(G) => r1_mesfunc6(A, B, k4_mesfunc5(A, k1_numbers, E, G), D)) )  &  (r3_mesfunc6(A, B, C, F) &  ( (! [G] :  (m1_subset_1(G, A) =>  (! [H] :  (v7_ordinal1(H) =>  (r2_tarski(G, D) => r1_xxreal_0(k12_supinf_2(k55_valued_1(A, k1_numbers, k4_mesfunc5(A, k1_numbers, E, H)), G), k12_supinf_2(F, G))) ) ) ) )  &  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( ( (! [H] :  (v7_ordinal1(H) => k12_supinf_2(G, H)=k1_mesfunc6(A, B, C, k4_mesfunc5(A, k1_numbers, E, H))) )  &  ( (! [H] :  (m1_subset_1(H, A) =>  (r2_tarski(H, D) => v2_comseq_2(k10_seqfunc(A, E, H))) ) )  =>  (v2_comseq_2(G) & k1_seq_2(G)=k7_mesfunc5(A, B, C, k8_mesfun7c(A, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_mesfun9c, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  =>  (v1_mesfun9c(B, A) <=>  (? [C] :  (v1_xreal_0(C) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, k1_relset_1(A, k4_mesfunc5(A, k1_numbers, B, k5_numbers))) => r1_xxreal_0(k9_complex1(k12_supinf_2(k4_mesfunc5(A, k1_numbers, B, D), E)), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k4_partfun1(A, k1_numbers)) &  (v1_mesfunc8(E, A, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) ) )  =>  ( (D=k1_relset_1(A, k4_mesfunc5(A, k1_numbers, E, k5_numbers)) &  ( (! [F] :  (v7_ordinal1(F) => r1_mesfunc6(A, B, k4_mesfunc5(A, k1_numbers, E, F), D)) )  &  (v1_mesfun9c(E, A) &  (! [F] :  (m1_subset_1(F, A) =>  (r2_tarski(F, D) => v2_comseq_2(k10_seqfunc(A, E, F))) ) ) ) ) )  =>  (r1_xxreal_0(k1_xxreal_0, k12_supinf_2(C, D)) |  ( (! [F] :  (v7_ordinal1(F) => r3_mesfunc6(A, B, C, k4_mesfunc5(A, k1_numbers, E, F))) )  &  (r1_mesfunc5(A, B, C, k8_mesfun7c(A, E)) &  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k6_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  &  ( (! [G] :  (v7_ordinal1(G) => k12_supinf_2(F, G)=k1_mesfunc6(A, B, C, k4_mesfunc5(A, k1_numbers, E, G))) )  &  (v10_mesfunc5(F) & k2_mesfunc5(F)=k7_mesfunc5(A, B, C, k8_mesfun7c(A, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_mesfun9c, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (r1_mesfun9c(A, B, C) <=>  (v1_mesfunc8(B, A, k1_numbers) &  (k1_relset_1(A, k4_mesfunc5(A, k1_numbers, B, k5_numbers))=k1_relset_1(A, C) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v7_ordinal1(E) =>  (? [F] :  (v7_ordinal1(F) &  (? [G] :  (m1_subset_1(G, A) &  (r1_xxreal_0(E, F) &  (r2_tarski(G, k1_relset_1(A, k4_mesfunc5(A, k1_numbers, B, k5_numbers))) & r1_xxreal_0(D, k9_complex1(k4_supinf_2(k12_supinf_2(k4_mesfunc5(A, k1_numbers, B, F), G), k12_supinf_2(C, G))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k4_partfun1(A, k1_numbers)) &  (v1_mesfunc8(E, A, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (D=k1_relset_1(A, k4_mesfunc5(A, k1_numbers, E, k5_numbers)) &  ( (! [G] :  (v7_ordinal1(G) => r3_mesfunc6(A, B, C, k4_mesfunc5(A, k1_numbers, E, G))) )  & r1_mesfun9c(A, E, F)) )  =>  (r1_xxreal_0(k1_xxreal_0, k12_supinf_2(C, D)) |  (r3_mesfunc6(A, B, C, F) &  (? [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, k6_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  &  ( (! [H] :  (v7_ordinal1(H) => k12_supinf_2(G, H)=k1_mesfunc6(A, B, C, k4_mesfunc5(A, k1_numbers, E, H))) )  &  (v10_mesfunc5(G) & k2_mesfunc5(G)=k1_mesfunc6(A, B, C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k4_partfun1(A, k2_numbers)) &  (v1_mesfunc8(F, A, k2_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) ) )  =>  ( (D=k1_relset_1(A, k4_mesfunc5(A, k2_numbers, F, k5_numbers)) &  (D=k1_relset_1(A, E) &  ( (! [G] :  (v7_ordinal1(G) => r1_mesfun6c(A, B, k4_mesfunc5(A, k2_numbers, F, G), D)) )  &  (r3_mesfunc6(A, B, C, E) &  ( (! [G] :  (m1_subset_1(G, A) =>  (! [H] :  (v7_ordinal1(H) =>  (r2_tarski(G, D) => r1_xxreal_0(k12_supinf_2(k55_valued_1(A, k2_numbers, k4_mesfunc5(A, k2_numbers, F, H)), G), k12_supinf_2(E, G))) ) ) ) )  &  (! [G] :  (m1_subset_1(G, A) =>  (r2_tarski(G, D) => v2_comseq_2(k9_mesfun7c(A, F, G))) ) ) ) ) ) ) )  => r2_mesfun6c(A, B, C, k10_mesfun7c(A, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k4_partfun1(A, k2_numbers)) &  (v1_mesfunc8(F, A, k2_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) ) )  =>  ~ ( (D=k1_relset_1(A, k4_mesfunc5(A, k2_numbers, F, k5_numbers)) &  (D=k1_relset_1(A, E) &  ( (! [G] :  (v7_ordinal1(G) => r1_mesfun6c(A, B, k4_mesfunc5(A, k2_numbers, F, G), D)) )  &  (r3_mesfunc6(A, B, C, E) &  ( (! [G] :  (m1_subset_1(G, A) =>  (! [H] :  (v7_ordinal1(H) =>  (r2_tarski(G, D) => r1_xxreal_0(k12_supinf_2(k55_valued_1(A, k2_numbers, k4_mesfunc5(A, k2_numbers, F, H)), G), k12_supinf_2(E, G))) ) ) ) )  &  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, k2_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  =>  ~ ( ( (! [H] :  (v7_ordinal1(H) => k8_nat_1(k2_numbers, G, H)=k1_mesfun6c(A, B, C, k4_mesfunc5(A, k2_numbers, F, H))) )  &  ( (! [H] :  (m1_subset_1(H, A) =>  (r2_tarski(H, D) => v2_comseq_2(k9_mesfun7c(A, F, H))) ) )  =>  (v2_comseq_2(G) & k3_comseq_2(G)=k1_mesfun6c(A, B, C, k10_mesfun7c(A, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_mesfun9c, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k2_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) )  =>  (v2_mesfun9c(B, A) <=>  (? [C] :  (v1_xreal_0(C) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, k1_relset_1(A, k4_mesfunc5(A, k2_numbers, B, k5_numbers))) => r1_xxreal_0(k9_complex1(k1_funct_1(k4_mesfunc5(A, k2_numbers, B, D), E)), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k4_partfun1(A, k2_numbers)) &  (v1_mesfunc8(E, A, k2_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) ) )  =>  ( (D=k1_relset_1(A, k4_mesfunc5(A, k2_numbers, E, k5_numbers)) &  ( (! [F] :  (v7_ordinal1(F) => r1_mesfun6c(A, B, k4_mesfunc5(A, k2_numbers, E, F), D)) )  &  (v2_mesfun9c(E, A) &  (! [F] :  (m1_subset_1(F, A) =>  (r2_tarski(F, D) => v2_comseq_2(k9_mesfun7c(A, E, F))) ) ) ) ) )  =>  (r1_xxreal_0(k1_xxreal_0, k12_supinf_2(C, D)) |  ( (! [F] :  (v7_ordinal1(F) => r2_mesfun6c(A, B, C, k4_mesfunc5(A, k2_numbers, E, F))) )  &  (r2_mesfun6c(A, B, C, k10_mesfun7c(A, E)) &  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k2_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  &  ( (! [G] :  (v7_ordinal1(G) => k8_nat_1(k2_numbers, F, G)=k1_mesfun6c(A, B, C, k4_mesfunc5(A, k2_numbers, E, G))) )  &  (v2_comseq_2(F) & k3_comseq_2(F)=k1_mesfun6c(A, B, C, k10_mesfun7c(A, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_mesfun9c, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k2_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  (r2_mesfun9c(A, B, C) <=>  (v1_mesfunc8(B, A, k2_numbers) &  (k1_relset_1(A, k4_mesfunc5(A, k2_numbers, B, k5_numbers))=k1_relset_1(A, C) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v7_ordinal1(E) =>  (? [F] :  (v7_ordinal1(F) &  (? [G] :  (m1_subset_1(G, A) &  (r1_xxreal_0(E, F) &  (r2_tarski(G, k1_relset_1(A, k4_mesfunc5(A, k2_numbers, B, k5_numbers))) & r1_xxreal_0(D, k9_complex1(k6_xcmplx_0(k1_funct_1(k4_mesfunc5(A, k2_numbers, B, F), G), k1_funct_1(C, G))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k4_partfun1(A, k2_numbers)) &  (v1_mesfunc8(E, A, k2_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))))  =>  ( (D=k1_relset_1(A, k4_mesfunc5(A, k2_numbers, E, k5_numbers)) &  ( (! [G] :  (v7_ordinal1(G) => r2_mesfun6c(A, B, C, k4_mesfunc5(A, k2_numbers, E, G))) )  & r2_mesfun9c(A, E, F)) )  =>  (r1_xxreal_0(k1_xxreal_0, k12_supinf_2(C, D)) |  (r2_mesfun6c(A, B, C, F) &  (? [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, k2_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers)))) )  &  ( (! [H] :  (v7_ordinal1(H) => k8_nat_1(k2_numbers, G, H)=k1_mesfun6c(A, B, C, k4_mesfunc5(A, k2_numbers, E, H))) )  &  (v2_comseq_2(G) & k3_comseq_2(G)=k1_mesfun6c(A, B, C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_mesfun9c, axiom,  (! [A, B, C, D] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, B))))) )  =>  (v1_funct_1(k1_mesfun9c(A, B, C, D)) &  (v1_funct_2(k1_mesfun9c(A, B, C, D), k4_ordinal1, k4_partfun1(A, B)) & m1_subset_1(k1_mesfun9c(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, B))))) ) ) ) ).
fof(dt_k2_mesfun9c, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) ) )  =>  (v1_funct_1(k2_mesfun9c(A, B)) &  (v1_funct_2(k2_mesfun9c(A, B), k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(k2_mesfun9c(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) ) ) ) ).
fof(dt_k3_mesfun9c, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k2_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) ) )  =>  (v1_funct_1(k3_mesfun9c(A, B)) &  (v1_funct_2(k3_mesfun9c(A, B), k4_ordinal1, k4_partfun1(A, k2_numbers)) & m1_subset_1(k3_mesfun9c(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) ) ) ) ).
fof(t10_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k1_numbers))))) )  =>  (! [C] :  (v7_ordinal1(C) => k1_relset_1(A, k4_mesfunc5(A, k1_numbers, k2_mesfun9c(A, B), C))=k1_setfam_1(a_3_0_mesfun9c(A, B, C))) ) ) ) ) ) ).
fof(t31_mesfun9c, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k2_numbers)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k2_numbers))))) )  => k1_relset_1(A, k4_mesfunc5(A, k2_numbers, k3_mesfun9c(A, C), B))=k1_setfam_1(a_3_1_mesfun9c(A, B, C))) ) ) ) ) ) ).
fof(fraenkel_a_3_0_mesfun9c, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(B, k1_numbers)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(B, k1_numbers))))) )  & v7_ordinal1(D)) )  =>  (r2_hidden(A, a_3_0_mesfun9c(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k4_ordinal1) &  (A=k1_relset_1(B, k4_mesfunc5(B, k1_numbers, C, E)) & r1_xxreal_0(E, D)) ) ) ) ) ) ).
fof(fraenkel_a_3_1_mesfun9c, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  (v7_ordinal1(C) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_partfun1(B, k2_numbers)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(B, k2_numbers))))) ) ) )  =>  (r2_hidden(A, a_3_1_mesfun9c(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k4_ordinal1) &  (A=k1_relset_1(B, k4_mesfunc5(B, k2_numbers, D, E)) & r1_xxreal_0(E, C)) ) ) ) ) ) ).
fof(fc1_mesfunc1, axiom,  ~ (v1_xboole_0(k1_mesfunc1)) ).
fof(fc2_mesfunc1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ (v1_xboole_0(k2_mesfunc1(k1_nat_1(A, 1)))) ) ) ).
fof(d1_mesfunc1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (A=k1_mesfunc1 <=>  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) <=>  (? [C] :  (m1_subset_1(C, k4_ordinal1) & B=k4_xcmplx_0(C)) ) ) ) ) ) ) ) ).
fof(t1_mesfunc1, axiom, r3_tarski(k4_ordinal1, k1_mesfunc1)).
fof(t2_mesfunc1, axiom, k4_numbers=k2_xboole_0(k1_mesfunc1, k4_ordinal1)).
fof(t3_mesfunc1, axiom, r3_tarski(k4_ordinal1, k4_numbers)).
fof(d2_mesfunc1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_numbers)) =>  (B=k2_mesfunc1(A) <=>  (! [C] :  (v1_rat_1(C) =>  (r2_hidden(C, B) <=>  (? [D] :  (v1_int_1(D) & C=k2_extreal1(D, A)) ) ) ) ) ) ) ) ) ) ).
fof(t4_mesfunc1, axiom,  (! [A] :  (v7_ordinal1(A) => r3_tarski(k4_numbers, k2_mesfunc1(k1_nat_1(A, 1)))) ) ).
fof(t5_mesfunc1, axiom, r3_tarski(k4_ordinal1, k3_numbers)).
fof(d3_mesfunc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k6_numbers) & v1_funct_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, k6_numbers) & v1_funct_1(C)) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (D=k3_mesfunc1(A, B, C) <=>  (k9_xtuple_0(D)=k6_subset_1(k3_xboole_0(k9_xtuple_0(B), k9_xtuple_0(C)), k2_xboole_0(k3_xboole_0(k8_relat_1(B, k1_tarski(k2_supinf_1)), k8_relat_1(C, k1_tarski(k1_supinf_1))), k3_xboole_0(k8_relat_1(B, k1_tarski(k1_supinf_1)), k8_relat_1(C, k1_tarski(k2_supinf_1))))) &  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, k9_xtuple_0(D)) => k12_supinf_2(D, E)=k3_supinf_2(k12_supinf_2(B, E), k12_supinf_2(C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_mesfunc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k6_numbers) & v1_funct_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, k6_numbers) & v1_funct_1(C)) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (D=k4_mesfunc1(A, B, C) <=>  (k9_xtuple_0(D)=k6_subset_1(k3_xboole_0(k9_xtuple_0(B), k9_xtuple_0(C)), k2_xboole_0(k3_xboole_0(k8_relat_1(B, k1_tarski(k1_supinf_1)), k8_relat_1(C, k1_tarski(k1_supinf_1))), k3_xboole_0(k8_relat_1(B, k1_tarski(k2_supinf_1)), k8_relat_1(C, k1_tarski(k2_supinf_1))))) &  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, k9_xtuple_0(D)) => k12_supinf_2(D, E)=k4_supinf_2(k12_supinf_2(B, E), k12_supinf_2(C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_mesfunc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k6_numbers) & v1_funct_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, k6_numbers) & v1_funct_1(C)) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (D=k5_mesfunc1(A, B, C) <=>  (k9_xtuple_0(D)=k3_xboole_0(k9_xtuple_0(B), k9_xtuple_0(C)) &  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, k9_xtuple_0(D)) => k12_supinf_2(D, E)=k1_extreal1(k12_supinf_2(B, E), k12_supinf_2(C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_mesfunc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k6_numbers) & v1_funct_1(B)) ) )  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (D=k6_mesfunc1(A, B, C) <=>  (k9_xtuple_0(D)=k9_xtuple_0(B) &  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, k9_xtuple_0(D)) => k12_supinf_2(D, E)=k4_xxreal_3(C, k12_supinf_2(B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_mesfunc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (C=k5_numbers)  =>  (! [D] :  (m1_subset_1(D, A) =>  (r2_tarski(D, k9_xtuple_0(k6_mesfunc1(A, B, C))) => k12_supinf_2(B, D)=k2_extreal1(k12_supinf_2(k6_mesfunc1(A, B, C), D), C)) ) ) ) ) ) ) ) ) ) ).
fof(d7_mesfunc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k6_numbers) & v1_funct_1(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (C=k7_mesfunc1(A, B) <=>  (k9_xtuple_0(C)=k9_xtuple_0(B) &  (! [D] :  (m1_subset_1(D, A) =>  (r2_tarski(D, k9_xtuple_0(C)) => k12_supinf_2(C, D)=k2_supinf_2(k12_supinf_2(B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_mesfunc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k6_numbers) & v1_funct_1(B)) ) )  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (D=k8_mesfunc1(A, B, C) <=>  (k9_xtuple_0(D)=k6_subset_1(k9_xtuple_0(B), k8_relat_1(B, k1_tarski(k1_supinf_2))) &  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, k9_xtuple_0(D)) => k12_supinf_2(D, E)=k2_extreal1(C, k12_supinf_2(B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_mesfunc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (k9_xtuple_0(k8_mesfunc1(A, B, 1))=k6_subset_1(k9_xtuple_0(B), k8_relat_1(B, k1_tarski(k1_supinf_2))) &  (! [C] :  (m1_subset_1(C, A) =>  (r2_tarski(C, k9_xtuple_0(k8_mesfunc1(A, B, 1))) => k12_supinf_2(k8_mesfunc1(A, B, 1), C)=k2_extreal1(k18_supinf_2, k12_supinf_2(B, C))) ) ) ) ) ) ) ) ).
fof(d9_mesfunc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k6_numbers) & v1_funct_1(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (C=k9_mesfunc1(A, B) <=>  (k9_xtuple_0(C)=k9_xtuple_0(B) &  (! [D] :  (m1_subset_1(D, A) =>  (r2_tarski(D, k9_xtuple_0(C)) => k12_supinf_2(C, D)=k3_extreal1(k12_supinf_2(B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_mesfunc1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (? [B] :  (m1_subset_1(B, k4_ordinal1) & r1_xxreal_0(A, B)) ) ) ) ).
fof(t9_mesfunc1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (? [B] :  (v7_ordinal1(B) & r1_xxreal_0(k4_xcmplx_0(B), A)) ) ) ) ).
fof(t10_mesfunc1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  (! [C] :  (m1_subset_1(C, k4_ordinal1) => r1_xxreal_0(k6_xcmplx_0(B, A), k2_extreal1(1, k1_nat_1(C, 1)))) ) ) ) ) ) ) ) ).
fof(t11_mesfunc1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (! [C] :  (m1_subset_1(C, k4_ordinal1) => r1_xxreal_0(k6_xcmplx_0(A, k2_extreal1(1, k1_nat_1(C, 1))), B)) )  => r1_xxreal_0(A, B)) ) ) ) ) ).
fof(t12_mesfunc1, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) =>  ( (! [B] :  (v1_xreal_0(B) =>  ~ (r1_xxreal_0(A, B)) ) )  => A=k1_supinf_1) ) ) ).
fof(t13_mesfunc1, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) =>  ( (! [B] :  (v1_xreal_0(B) =>  ~ (r1_xxreal_0(B, A)) ) )  => A=k2_supinf_1) ) ) ).
fof(d10_mesfunc1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_valued_0(A)) )  =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  (C=k10_mesfunc1(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (r2_hidden(D, k9_xtuple_0(A)) &  ~ (r1_xxreal_0(B, k1_funct_1(A, D))) ) ) ) ) ) ) ) ) ) ).
fof(d11_mesfunc1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_valued_0(A)) )  =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  (C=k11_mesfunc1(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (r2_hidden(D, k9_xtuple_0(A)) & r1_xxreal_0(k1_funct_1(A, D), B)) ) ) ) ) ) ) ) ) ).
fof(d12_mesfunc1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_valued_0(A)) )  =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  (C=k12_mesfunc1(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (r2_hidden(D, k9_xtuple_0(A)) &  ~ (r1_xxreal_0(k1_funct_1(A, D), B)) ) ) ) ) ) ) ) ) ) ).
fof(d13_mesfunc1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_valued_0(A)) )  =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  (C=k13_mesfunc1(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (r2_hidden(D, k9_xtuple_0(A)) & r1_xxreal_0(B, k1_funct_1(A, D))) ) ) ) ) ) ) ) ) ).
fof(d14_mesfunc1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_valued_0(A)) )  =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  (C=k10_relat_1(A, B) <=>  (! [D] :  (r2_tarski(D, C) <=>  (r2_tarski(D, k9_xtuple_0(A)) & k12_supinf_2(A, D)=B) ) ) ) ) ) ) ) ) ).
fof(t14_mesfunc1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  (! [D] :  (v1_xxreal_0(D) =>  (r1_tarski(C, k9_xtuple_0(B)) => k9_subset_1(A, C, k17_mesfunc1(A, B, D))=k6_subset_1(C, k9_subset_1(A, C, k14_mesfunc1(A, B, D)))) ) ) ) ) ) ) ).
fof(t15_mesfunc1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  (! [D] :  (v1_xxreal_0(D) =>  (r1_tarski(C, k9_xtuple_0(B)) => k9_subset_1(A, C, k16_mesfunc1(A, B, D))=k6_subset_1(C, k9_subset_1(A, C, k15_mesfunc1(A, B, D)))) ) ) ) ) ) ) ).
fof(t16_mesfunc1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  (! [D] :  (v1_xxreal_0(D) =>  (r1_tarski(C, k9_xtuple_0(B)) => k9_subset_1(A, C, k15_mesfunc1(A, B, D))=k6_subset_1(C, k9_subset_1(A, C, k16_mesfunc1(A, B, D)))) ) ) ) ) ) ) ).
fof(t17_mesfunc1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  (! [D] :  (v1_xxreal_0(D) =>  (r1_tarski(C, k9_xtuple_0(B)) => k9_subset_1(A, C, k14_mesfunc1(A, B, D))=k6_subset_1(C, k9_subset_1(A, C, k17_mesfunc1(A, B, D)))) ) ) ) ) ) ) ).
fof(t18_mesfunc1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  (! [D] :  (v1_xxreal_0(D) => k9_subset_1(A, C, k18_mesfunc1(A, B, D))=k9_subset_1(A, k9_subset_1(A, C, k17_mesfunc1(A, B, D)), k15_mesfunc1(A, B, D))) ) ) ) ) ) ).
fof(t19_mesfunc1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (! [F] :  (v1_xreal_0(F) =>  ( (! [G] :  (m1_subset_1(G, k4_ordinal1) => k8_nat_1(B, C, G)=k9_subset_1(A, E, k16_mesfunc1(A, D, k6_xcmplx_0(F, k2_extreal1(1, k1_nat_1(G, 1)))))) )  => k9_subset_1(A, E, k17_mesfunc1(A, D, F))=k1_measure2(A, B, k1_measure3(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_mesfunc1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, C)))) )  =>  (! [E] :  (! [F] :  (v1_xreal_0(F) =>  ( (! [G] :  (m1_subset_1(G, k4_ordinal1) => k8_nat_1(C, D, G)=k9_subset_1(A, E, k14_mesfunc1(A, B, k2_xcmplx_0(F, k2_extreal1(1, k1_nat_1(G, 1)))))) )  => k9_subset_1(A, E, k15_mesfunc1(A, B, F))=k1_measure2(A, C, k1_measure3(A, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_mesfunc1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, C)))) )  =>  (! [E] :  (! [F] :  (v1_xreal_0(F) =>  ( (! [G] :  (m1_subset_1(G, k4_ordinal1) => k8_nat_1(C, D, G)=k9_subset_1(A, E, k15_mesfunc1(A, B, k6_xcmplx_0(F, k2_extreal1(1, k1_nat_1(G, 1)))))) )  => k9_subset_1(A, E, k14_mesfunc1(A, B, F))=k2_measure2(A, C, k1_measure3(A, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_mesfunc1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (! [F] :  (v1_xreal_0(F) =>  ( (! [G] :  (m1_subset_1(G, k4_ordinal1) => k8_nat_1(B, C, G)=k9_subset_1(A, E, k17_mesfunc1(A, D, k2_xcmplx_0(F, k2_extreal1(1, k1_nat_1(G, 1)))))) )  => k9_subset_1(A, E, k16_mesfunc1(A, D, F))=k2_measure2(A, B, k1_measure3(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_mesfunc1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  ( (! [F] :  (m1_subset_1(F, k4_ordinal1) => k8_nat_1(B, C, F)=k9_subset_1(A, E, k16_mesfunc1(A, D, F))) )  => k9_subset_1(A, E, k18_mesfunc1(A, D, k1_supinf_1))=k1_measure2(A, B, k1_measure3(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t24_mesfunc1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  ( (! [F] :  (m1_subset_1(F, k4_ordinal1) => k8_nat_1(B, C, F)=k9_subset_1(A, E, k14_mesfunc1(A, D, F))) )  => k9_subset_1(A, E, k14_mesfunc1(A, D, k1_supinf_1))=k2_measure2(A, B, k1_measure3(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t25_mesfunc1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  ( (! [F] :  (v7_ordinal1(F) => k8_nat_1(B, C, F)=k9_subset_1(A, E, k14_mesfunc1(A, D, k4_xcmplx_0(F)))) )  => k9_subset_1(A, E, k18_mesfunc1(A, D, k2_supinf_1))=k1_measure2(A, B, k1_measure3(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t26_mesfunc1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  ( (! [F] :  (m1_subset_1(F, k4_ordinal1) => k8_nat_1(B, C, F)=k9_subset_1(A, E, k16_mesfunc1(A, D, k4_xcmplx_0(F)))) )  => k9_subset_1(A, E, k16_mesfunc1(A, D, k2_supinf_1))=k2_measure2(A, B, k1_measure3(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(d15_mesfunc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (r1_mesfunc1(A, B, C, D) <=>  (! [E] :  (v1_xreal_0(E) => r2_tarski(k9_subset_1(A, D, k14_mesfunc1(A, C, E)), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_mesfunc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (r1_tarski(D, k9_xtuple_0(C)) =>  (r1_mesfunc1(A, B, C, D) <=>  (! [E] :  (v1_xreal_0(E) => r2_tarski(k9_subset_1(A, D, k17_mesfunc1(A, C, E)), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_mesfunc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (r1_mesfunc1(A, B, C, D) <=>  (! [E] :  (v1_xreal_0(E) => r2_tarski(k9_subset_1(A, D, k15_mesfunc1(A, C, E)), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_mesfunc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (r1_tarski(D, k9_xtuple_0(C)) =>  (r1_mesfunc1(A, B, C, D) <=>  (! [E] :  (v1_xreal_0(E) => r2_tarski(k9_subset_1(A, D, k16_mesfunc1(A, C, E)), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_mesfunc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  ( (r1_tarski(E, D) & r1_mesfunc1(A, B, C, D))  => r1_mesfunc1(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_mesfunc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  ( (r1_mesfunc1(A, B, C, D) & r1_mesfunc1(A, B, C, E))  => r1_mesfunc1(A, B, C, k6_prob_1(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_mesfunc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (r1_mesfunc1(A, B, C, D) & r1_tarski(D, k9_xtuple_0(C)))  => r2_tarski(k9_subset_1(A, k9_subset_1(A, D, k16_mesfunc1(A, C, E)), k14_mesfunc1(A, C, F)), B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_mesfunc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  ( (r1_mesfunc1(A, B, C, D) & r1_tarski(D, k9_xtuple_0(C)))  => r2_tarski(k9_subset_1(A, D, k18_mesfunc1(A, C, k1_supinf_1)), B)) ) ) ) ) ) ) ) ) ).
fof(t34_mesfunc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (r1_mesfunc1(A, B, C, D) => r2_tarski(k9_subset_1(A, D, k18_mesfunc1(A, C, k2_supinf_1)), B)) ) ) ) ) ) ) ) ) ).
fof(t35_mesfunc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  ( (r1_mesfunc1(A, B, C, D) & r1_tarski(D, k9_xtuple_0(C)))  => r2_tarski(k9_subset_1(A, k9_subset_1(A, D, k16_mesfunc1(A, C, k2_supinf_1)), k14_mesfunc1(A, C, k1_supinf_1)), B)) ) ) ) ) ) ) ) ) ).
fof(t36_mesfunc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (! [F] :  (v1_xreal_0(F) =>  ( (r1_mesfunc1(A, B, C, E) &  (r1_mesfunc1(A, B, D, E) & r1_tarski(E, k9_xtuple_0(D))) )  => r2_tarski(k9_subset_1(A, k9_subset_1(A, E, k14_mesfunc1(A, C, F)), k16_mesfunc1(A, D, F)), B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_mesfunc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (v1_xreal_0(E) =>  ( (r1_mesfunc1(A, B, C, D) & r1_tarski(D, k9_xtuple_0(C)))  => r1_mesfunc1(A, B, k6_mesfunc1(A, C, E), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_mesfunc1, axiom, m1_subset_1(k1_mesfunc1, k1_zfmisc_1(k1_numbers))).
fof(dt_k2_mesfunc1, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k2_mesfunc1(A), k1_zfmisc_1(k3_numbers))) ) ).
fof(dt_k3_mesfunc1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k6_numbers) & v1_funct_1(B)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, k6_numbers) & v1_funct_1(C)) ) ) ) )  =>  (v1_funct_1(k3_mesfunc1(A, B, C)) & m1_subset_1(k3_mesfunc1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ).
fof(commutativity_k3_mesfunc1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k6_numbers) & v1_funct_1(B)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, k6_numbers) & v1_funct_1(C)) ) ) ) )  => k3_mesfunc1(A, B, C)=k3_mesfunc1(A, C, B)) ) ).
fof(dt_k4_mesfunc1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k6_numbers) & v1_funct_1(B)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, k6_numbers) & v1_funct_1(C)) ) ) ) )  =>  (v1_funct_1(k4_mesfunc1(A, B, C)) & m1_subset_1(k4_mesfunc1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ).
fof(dt_k5_mesfunc1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k6_numbers) & v1_funct_1(B)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, k6_numbers) & v1_funct_1(C)) ) ) ) )  =>  (v1_funct_1(k5_mesfunc1(A, B, C)) & m1_subset_1(k5_mesfunc1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ).
fof(commutativity_k5_mesfunc1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k6_numbers) & v1_funct_1(B)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, k6_numbers) & v1_funct_1(C)) ) ) ) )  => k5_mesfunc1(A, B, C)=k5_mesfunc1(A, C, B)) ) ).
fof(dt_k6_mesfunc1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k6_numbers) & v1_funct_1(B)) ) )  & v1_xreal_0(C)) )  =>  (v1_funct_1(k6_mesfunc1(A, B, C)) & m1_subset_1(k6_mesfunc1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ).
fof(dt_k7_mesfunc1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k6_numbers) & v1_funct_1(B)) ) ) )  =>  (v1_funct_1(k7_mesfunc1(A, B)) & m1_subset_1(k7_mesfunc1(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ).
fof(dt_k8_mesfunc1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k6_numbers) & v1_funct_1(B)) ) )  & v1_xreal_0(C)) )  =>  (v1_funct_1(k8_mesfunc1(A, B, C)) & m1_subset_1(k8_mesfunc1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ).
fof(dt_k9_mesfunc1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k6_numbers) & v1_funct_1(B)) ) ) )  =>  (v1_funct_1(k9_mesfunc1(A, B)) & m1_subset_1(k9_mesfunc1(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ).
fof(dt_k14_mesfunc1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  & v1_xxreal_0(C))  => m1_subset_1(k14_mesfunc1(A, B, C), k1_zfmisc_1(A))) ) ).
fof(redefinition_k14_mesfunc1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  & v1_xxreal_0(C))  => k14_mesfunc1(A, B, C)=k10_mesfunc1(B, C)) ) ).
fof(dt_k15_mesfunc1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  & v1_xxreal_0(C))  => m1_subset_1(k15_mesfunc1(A, B, C), k1_zfmisc_1(A))) ) ).
fof(redefinition_k15_mesfunc1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  & v1_xxreal_0(C))  => k15_mesfunc1(A, B, C)=k11_mesfunc1(B, C)) ) ).
fof(dt_k16_mesfunc1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  & v1_xxreal_0(C))  => m1_subset_1(k16_mesfunc1(A, B, C), k1_zfmisc_1(A))) ) ).
fof(redefinition_k16_mesfunc1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  & v1_xxreal_0(C))  => k16_mesfunc1(A, B, C)=k12_mesfunc1(B, C)) ) ).
fof(dt_k17_mesfunc1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  & v1_xxreal_0(C))  => m1_subset_1(k17_mesfunc1(A, B, C), k1_zfmisc_1(A))) ) ).
fof(redefinition_k17_mesfunc1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  & v1_xxreal_0(C))  => k17_mesfunc1(A, B, C)=k13_mesfunc1(B, C)) ) ).
fof(dt_k18_mesfunc1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  & v1_xxreal_0(C))  => m1_subset_1(k18_mesfunc1(A, B, C), k1_zfmisc_1(A))) ) ).
fof(redefinition_k18_mesfunc1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  & v1_xxreal_0(C))  => k18_mesfunc1(A, B, C)=k10_relat_1(B, C)) ) ).
fof(rc1_mesfunc2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (? [C] :  (m1_finseq_1(C, B) &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_finseq_1(C) &  (v2_finseq_1(C) & v1_prob_2(C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_mesfunc2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (v3_valued_0(B) <=>  (! [C] :  (m1_subset_1(C, A) =>  ~ ( (r2_tarski(C, k1_relset_1(A, B)) & r1_xxreal_0(k1_supinf_1, k3_extreal1(k12_supinf_2(B, C)))) ) ) ) ) ) ) ) ) ).
fof(t1_mesfunc2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  => r2_relset_1(A, k6_numbers, B, k6_mesfunc1(A, B, 1))) ) ) ) ).
fof(t2_mesfunc2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (v3_valued_0(B) | v3_valued_0(C))  =>  (k1_relset_1(A, k3_mesfunc1(A, B, C))=k9_subset_1(A, k1_relset_1(A, B), k1_relset_1(A, C)) & k1_relset_1(A, k4_mesfunc1(A, B, C))=k9_subset_1(A, k1_relset_1(A, B), k1_relset_1(A, C))) ) ) ) ) ) ) ) ).
fof(t3_mesfunc2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k3_numbers, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_numbers, B)))) )  =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (m1_subset_1(G, B) =>  ( (v3_valued_0(C) &  (v3_valued_0(D) &  (! [H] :  (v1_rat_1(H) => k1_funct_1(E, H)=k9_subset_1(A, k9_subset_1(A, G, k14_mesfunc1(A, C, H)), k9_subset_1(A, G, k14_mesfunc1(A, D, k6_xcmplx_0(F, H))))) ) ) )  => k9_subset_1(A, G, k14_mesfunc1(A, k3_mesfunc1(A, C, D), F))=k3_tarski(k2_relset_1(B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_mesfunc2, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k3_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k3_numbers)))) )  &  (v2_funct_1(A) &  (k1_relset_1(k4_ordinal1, A)=k4_ordinal1 & k2_relset_1(k3_numbers, A)=k3_numbers) ) ) ) ).
fof(t5_mesfunc2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  =>  ~ ( (r2_wellord2(A, B) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  ~ (k2_relset_1(C, D)=k2_relset_1(C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_mesfunc2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [F] :  (m1_subset_1(F, C) =>  ~ ( (r1_mesfunc1(A, C, D, F) &  (r1_mesfunc1(A, C, E, F) &  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k3_numbers, C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k3_numbers, C)))) )  =>  ~ ( (! [H] :  (v1_rat_1(H) => k1_funct_1(G, H)=k9_subset_1(A, k9_subset_1(A, F, k14_mesfunc1(A, D, H)), k9_subset_1(A, F, k14_mesfunc1(A, E, k6_xcmplx_0(B, H))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_mesfunc2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (m1_subset_1(E, B) =>  ( (v3_valued_0(C) &  (v3_valued_0(D) &  (r1_mesfunc1(A, B, C, E) & r1_mesfunc1(A, B, D, E)) ) )  => r1_mesfunc1(A, B, k3_mesfunc1(A, C, D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_mesfunc2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  => r2_relset_1(A, k6_numbers, k4_mesfunc1(A, B, C), k3_mesfunc1(A, B, k7_mesfunc1(A, C)))) ) ) ) ) ) ).
fof(t9_mesfunc2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  => r2_relset_1(A, k6_numbers, k7_mesfunc1(A, B), k6_mesfunc1(A, B, k4_xcmplx_0(1)))) ) ) ) ).
fof(t10_mesfunc2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  (v3_valued_0(B) => v3_valued_0(k6_mesfunc1(A, B, C))) ) ) ) ) ) ) ).
fof(t11_mesfunc2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (m1_subset_1(E, B) =>  ( (v3_valued_0(C) &  (v3_valued_0(D) &  (r1_mesfunc1(A, B, C, E) &  (r1_mesfunc1(A, B, D, E) & r1_tarski(E, k1_relset_1(A, D))) ) ) )  => r1_mesfunc1(A, B, k4_mesfunc1(A, C, D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_mesfunc2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (C=k1_mesfunc2(A, B) <=>  (k1_relset_1(A, C)=k1_relset_1(A, B) &  (! [D] :  (m1_subset_1(D, A) =>  (r2_tarski(D, k1_relset_1(A, C)) => k12_supinf_2(C, D)=k5_extreal1(k12_supinf_2(B, D), k1_supinf_2)) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_mesfunc2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (C=k2_mesfunc2(A, B) <=>  (k1_relset_1(A, C)=k1_relset_1(A, B) &  (! [D] :  (m1_subset_1(D, A) =>  (r2_tarski(D, k1_relset_1(A, C)) => k12_supinf_2(C, D)=k5_extreal1(k2_supinf_2(k12_supinf_2(B, D)), k1_supinf_2)) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_mesfunc2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  (m1_subset_1(C, A) => r1_xxreal_0(k1_supinf_2, k12_supinf_2(k1_mesfunc2(A, B), C))) ) ) ) ) ) ).
fof(t13_mesfunc2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  (m1_subset_1(C, A) => r1_xxreal_0(k1_supinf_2, k12_supinf_2(k2_mesfunc2(A, B), C))) ) ) ) ) ) ).
fof(t14_mesfunc2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  => r2_relset_1(A, k6_numbers, k2_mesfunc2(A, B), k1_mesfunc2(A, k7_mesfunc1(A, B)))) ) ) ) ).
fof(t15_mesfunc2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  (m1_subset_1(C, A) =>  ( ~ (r1_xxreal_0(k12_supinf_2(k1_mesfunc2(A, B), C), k1_supinf_2))  => k12_supinf_2(k2_mesfunc2(A, B), C)=k1_supinf_2) ) ) ) ) ) ) ).
fof(t16_mesfunc2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  (m1_subset_1(C, A) =>  ( ~ (r1_xxreal_0(k12_supinf_2(k2_mesfunc2(A, B), C), k1_supinf_2))  => k12_supinf_2(k1_mesfunc2(A, B), C)=k1_supinf_2) ) ) ) ) ) ) ).
fof(t17_mesfunc2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (k1_relset_1(A, B)=k1_relset_1(A, k4_mesfunc1(A, k1_mesfunc2(A, B), k2_mesfunc2(A, B))) & k1_relset_1(A, B)=k1_relset_1(A, k3_mesfunc1(A, k1_mesfunc2(A, B), k2_mesfunc2(A, B)))) ) ) ) ) ).
fof(t18_mesfunc2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  (m1_subset_1(C, A) =>  ( (k12_supinf_2(k1_mesfunc2(A, B), C)=k12_supinf_2(B, C) | k12_supinf_2(k1_mesfunc2(A, B), C)=k1_supinf_2)  &  (k12_supinf_2(k2_mesfunc2(A, B), C)=k2_supinf_2(k12_supinf_2(B, C)) | k12_supinf_2(k2_mesfunc2(A, B), C)=k1_supinf_2) ) ) ) ) ) ) ) ).
fof(t19_mesfunc2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  (m1_subset_1(C, A) =>  (k12_supinf_2(k1_mesfunc2(A, B), C)=k12_supinf_2(B, C) => k12_supinf_2(k2_mesfunc2(A, B), C)=k1_supinf_2) ) ) ) ) ) ) ).
fof(t20_mesfunc2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  (m1_subset_1(C, A) =>  ( (r2_tarski(C, k1_relset_1(A, B)) & k12_supinf_2(k1_mesfunc2(A, B), C)=k1_supinf_2)  => k12_supinf_2(k2_mesfunc2(A, B), C)=k2_supinf_2(k12_supinf_2(B, C))) ) ) ) ) ) ) ).
fof(t21_mesfunc2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  (m1_subset_1(C, A) =>  (k12_supinf_2(k2_mesfunc2(A, B), C)=k2_supinf_2(k12_supinf_2(B, C)) => k12_supinf_2(k1_mesfunc2(A, B), C)=k1_supinf_2) ) ) ) ) ) ) ).
fof(t22_mesfunc2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  (m1_subset_1(C, A) =>  ( (r2_tarski(C, k1_relset_1(A, B)) & k12_supinf_2(k2_mesfunc2(A, B), C)=k1_supinf_2)  => k12_supinf_2(k1_mesfunc2(A, B), C)=k12_supinf_2(B, C)) ) ) ) ) ) ) ).
fof(t23_mesfunc2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  => r2_relset_1(A, k6_numbers, B, k4_mesfunc1(A, k1_mesfunc2(A, B), k2_mesfunc2(A, B)))) ) ) ) ).
fof(t24_mesfunc2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  => r2_relset_1(A, k6_numbers, k9_mesfunc1(A, B), k3_mesfunc1(A, k1_mesfunc2(A, B), k2_mesfunc2(A, B)))) ) ) ) ).
fof(t25_mesfunc2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  (m1_subset_1(D, C) =>  (r1_mesfunc1(A, C, B, D) => r1_mesfunc1(A, C, k1_mesfunc2(A, B), D)) ) ) ) ) ) ) ) ) ).
fof(t26_mesfunc2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  (m1_subset_1(D, C) =>  ( (r1_mesfunc1(A, C, B, D) & r1_tarski(D, k1_relset_1(A, B)))  => r1_mesfunc1(A, C, k2_mesfunc2(A, B), D)) ) ) ) ) ) ) ) ) ).
fof(t27_mesfunc2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [D] :  (m1_subset_1(D, B) =>  ( (r1_mesfunc1(A, B, C, D) & r1_tarski(D, k1_relset_1(A, C)))  => r1_mesfunc1(A, B, k9_mesfunc1(A, C), D)) ) ) ) ) ) ) ) ) ).
fof(t28_mesfunc2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, B) => v3_valued_0(k3_mesfunc2(C, A))) ) ) ) ) ) ).
fof(t29_mesfunc2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (m1_subset_1(D, B) => r1_mesfunc1(A, B, k3_mesfunc2(C, A), D)) ) ) ) ) ) ) ) ).
fof(t30_mesfunc2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ~ ( ( (v1_prob_2(C) & m2_finseq_1(C, B))  &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) &  (v1_prob_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) )  =>  ~ ( (k3_tarski(k10_xtuple_0(C))=k2_measure2(A, B, k1_measure3(A, B, D)) &  ( (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k9_xtuple_0(C)) => k1_funct_1(C, E)=k8_nat_1(B, D, E)) ) )  &  (! [E] :  (v7_ordinal1(E) =>  ( ~ (r2_tarski(E, k9_xtuple_0(C)))  => k8_nat_1(B, D, E)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_mesfunc2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (v1_prob_2(C) & m2_finseq_1(C, B))  => r2_tarski(k3_tarski(k10_xtuple_0(C)), B)) ) ) ) ) ) ) ).
fof(d4_mesfunc2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (r1_mesfunc2(A, B, C) <=>  (v3_valued_0(C) &  (? [D] :  ( (v1_prob_2(D) & m2_finseq_1(D, B))  &  (k1_relset_1(A, C)=k3_tarski(k2_relset_1(B, D)) &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) =>  ( (r2_tarski(E, k4_finseq_1(D)) &  (r2_tarski(F, k1_funct_1(D, E)) & r2_tarski(G, k1_funct_1(D, E))) )  => k12_supinf_2(C, F)=k12_supinf_2(C, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_mesfunc2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (v3_valued_0(B) => m1_subset_1(k2_relset_1(k6_numbers, B), k1_zfmisc_1(k1_numbers))) ) ) ) ) ).
fof(t33_mesfunc2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v1_relat_1(D) =>  ( (v1_prob_2(D) & m2_finseq_1(D, B))  =>  (v1_prob_2(k5_relat_1(D, k2_finseq_1(C))) & m2_finseq_1(k5_relat_1(D, k2_finseq_1(C)), B)) ) ) ) ) ) ) ) ) ) ).
fof(t34_mesfunc2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  (m1_subset_1(D, C) =>  (r1_mesfunc2(A, C, B) => r1_mesfunc1(A, C, B, D)) ) ) ) ) ) ) ) ) ).
fof(redefinition_v1_mesfunc2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  (v1_mesfunc2(B, A) <=> v3_valued_0(B)) ) ) ).
fof(dt_k1_mesfunc2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  (v1_funct_1(k1_mesfunc2(A, B)) & m1_subset_1(k1_mesfunc2(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ).
fof(dt_k2_mesfunc2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  (v1_funct_1(k2_mesfunc2(A, B)) & m1_subset_1(k2_mesfunc2(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ).
fof(dt_k3_mesfunc2, axiom,  (! [A, B] :  (v1_funct_1(k3_mesfunc2(A, B)) & m1_subset_1(k3_mesfunc2(A, B), k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ).
fof(redefinition_k3_mesfunc2, axiom,  (! [A, B] : k3_mesfunc2(A, B)=k4_funct_3(A, B)) ).
fof(t1_mesfunc3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(B)), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(B)), k1_numbers)))) )  =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  (! [E] :  (m2_finseq_1(E, k1_numbers) =>  ( (k4_finseq_1(D)=k2_finseq_1(A) &  ( (! [F] :  (v7_ordinal1(F) =>  ~ ( (r2_tarski(F, k4_finseq_1(D)) &  (! [G] :  (m2_finseq_1(G, k1_numbers) =>  ~ ( (k4_finseq_1(G)=k2_finseq_1(B) &  (k12_supinf_2(D, F)=k18_rvsum_1(G) &  (! [H] :  (v7_ordinal1(H) =>  (r2_tarski(H, k4_finseq_1(G)) => k12_supinf_2(G, H)=k1_funct_1(C, k4_tarski(F, H))) ) ) ) ) ) ) ) ) ) ) )  &  (k4_finseq_1(E)=k2_finseq_1(B) &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r2_tarski(F, k4_finseq_1(E)) &  (! [G] :  (m2_finseq_1(G, k1_numbers) =>  ~ ( (k4_finseq_1(G)=k2_finseq_1(A) &  (k12_supinf_2(E, F)=k18_rvsum_1(G) &  (! [H] :  (v7_ordinal1(H) =>  (r2_tarski(H, k4_finseq_1(G)) => k12_supinf_2(G, H)=k1_funct_1(C, k4_tarski(H, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) )  => k18_rvsum_1(D)=k18_rvsum_1(E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_mesfunc3, axiom,  (! [A] :  (m2_finseq_1(A, k6_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (A=B => k4_extreal1(A)=k18_rvsum_1(B)) ) ) ) ) ).
fof(t3_mesfunc3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ~ ( (r1_mesfunc2(A, B, C) &  (! [D] :  ( (v1_prob_2(D) & m2_finseq_1(D, B))  =>  (! [E] :  (m2_finseq_1(E, k6_numbers) =>  ~ ( (k1_relset_1(A, C)=k3_tarski(k2_relset_1(B, D)) &  (k4_finseq_1(D)=k4_finseq_1(E) &  ( (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k4_finseq_1(D)) =>  (! [G] :  (r2_hidden(G, k1_funct_1(D, F)) => k1_funct_1(C, G)=k12_supinf_2(E, F)) ) ) ) )  &  (! [F] :  ~ ( (r2_hidden(F, k1_relset_1(A, C)) &  (! [G] :  (m2_finseq_1(G, k6_numbers) =>  ~ ( (k4_finseq_1(G)=k4_finseq_1(E) &  (! [H] :  (v7_ordinal1(H) =>  (r2_tarski(H, k4_finseq_1(G)) => k12_supinf_2(G, H)=k4_xxreal_3(k12_supinf_2(E, H), k1_funct_1(k3_mesfunc2(k1_funct_1(D, H), A), F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_mesfunc3, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (v1_prob_2(B) <=>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(C, k4_finseq_1(B)) & r2_tarski(D, k4_finseq_1(B)))  =>  (C=D | r1_xboole_0(k1_funct_1(B, C), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t5_mesfunc3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( (v1_prob_2(D) & m2_finseq_1(D, C))  =>  (! [E] :  (m2_finseq_1(E, C) =>  ( (k4_finseq_1(E)=k4_finseq_1(D) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k4_finseq_1(E)) => k1_funct_1(E, F)=k3_xboole_0(B, k1_funct_1(D, F))) ) ) )  =>  (v1_prob_2(E) & m2_finseq_1(E, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_mesfunc3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  ( (k4_finseq_1(D)=k4_finseq_1(C) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) => k1_funct_1(D, E)=k3_xboole_0(B, k1_funct_1(C, E))) ) ) )  => k3_tarski(k2_relset_1(A, D))=k3_xboole_0(B, k3_tarski(k2_relset_1(A, C)))) ) ) ) ) ) ) ) ).
fof(t7_mesfunc3, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) =>  (r1_tarski(k1_funct_1(B, C), k3_tarski(k2_relset_1(A, B))) & k3_xboole_0(k1_funct_1(B, C), k3_tarski(k2_relset_1(A, B)))=k1_funct_1(B, C)) ) ) ) ) ) ) ).
fof(t8_mesfunc3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_prob_2(D) & m2_finseq_1(D, B))  => k4_finseq_1(D)=k4_finseq_1(k4_finseqop(B, k6_numbers, D, C))) ) ) ) ) ) ) ) ).
fof(t9_mesfunc3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_prob_2(D) & m2_finseq_1(D, B))  => k12_supinf_2(C, k3_tarski(k2_relset_1(B, D)))=k4_extreal1(k4_finseqop(B, k6_numbers, D, C))) ) ) ) ) ) ) ) ).
fof(t10_mesfunc3, axiom,  (! [A] :  (m2_finseq_1(A, k6_numbers) =>  (! [B] :  (m2_finseq_1(B, k6_numbers) =>  (! [C] :  (m1_subset_1(C, k6_numbers) =>  ( (k4_finseq_1(A)=k4_finseq_1(B) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(B)) => k12_supinf_2(B, D)=k1_extreal1(C, k12_supinf_2(A, D))) ) ) )  =>  ( ( ~ (v1_xreal_0(C))  &  ( (? [D] :  (v7_ordinal1(D) &  (r2_tarski(D, k4_finseq_1(A)) & r1_xxreal_0(k1_supinf_2, k12_supinf_2(A, D))) ) )  &  (? [D] :  (v7_ordinal1(D) &  (r2_tarski(D, k4_finseq_1(A)) & r1_xxreal_0(k12_supinf_2(A, D), k1_supinf_2)) ) ) ) )  | k4_extreal1(B)=k1_extreal1(C, k4_extreal1(A))) ) ) ) ) ) ) ) ).
fof(t11_mesfunc3, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) => m2_finseq_1(A, k6_numbers)) ) ).
fof(d1_mesfunc3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [D] :  ( (v1_prob_2(D) & m2_finseq_1(D, B))  =>  (! [E] :  (m2_finseq_1(E, k6_numbers) =>  (r1_mesfunc3(A, B, C, D, E) <=>  (k1_relset_1(A, C)=k3_tarski(k2_relset_1(B, D)) &  (k4_finseq_1(D)=k4_finseq_1(E) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k4_finseq_1(D)) =>  (! [G] :  (r2_hidden(G, k1_funct_1(D, F)) => k1_funct_1(C, G)=k12_supinf_2(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_mesfunc3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ~ ( (r1_mesfunc2(A, B, C) &  (! [D] :  ( (v1_prob_2(D) & m2_finseq_1(D, B))  =>  (! [E] :  (m2_finseq_1(E, k6_numbers) =>  ~ (r1_mesfunc3(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_mesfunc3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_prob_2(C) & m2_finseq_1(C, B))  =>  (? [D] :  ( (v1_prob_2(D) & m2_finseq_1(D, B))  &  (k3_tarski(k2_relset_1(B, C))=k3_tarski(k2_relset_1(B, D)) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) =>  ( ~ (k1_funct_1(D, E)=k1_xboole_0)  &  (? [F] :  (v7_ordinal1(F) &  (r2_tarski(F, k4_finseq_1(C)) & k1_funct_1(C, F)=k1_funct_1(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_mesfunc3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ~ ( (r1_mesfunc2(A, B, C) &  (v6_supinf_2(C) &  (! [D] :  ( (v1_prob_2(D) & m2_finseq_1(D, B))  =>  (! [E] :  (m2_finseq_1(E, k6_numbers) =>  ~ ( (r1_mesfunc3(A, B, C, D, E) &  (k12_supinf_2(E, 1)=k1_supinf_2 &  (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(2, F) & r2_tarski(F, k4_finseq_1(E)))  =>  ( ~ (r1_xxreal_0(k12_supinf_2(E, F), k1_supinf_2))  &  ~ (r1_xxreal_0(k1_supinf_1, k12_supinf_2(E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_mesfunc3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [D] :  ( (v1_prob_2(D) & m2_finseq_1(D, B))  =>  (! [E] :  (m2_finseq_1(E, k6_numbers) =>  (! [F] :  (m1_subset_1(F, A) =>  ~ ( (r1_mesfunc3(A, B, C, D, E) &  (r2_tarski(F, k1_relset_1(A, C)) &  (! [G] :  (m2_finseq_1(G, k6_numbers) =>  ~ ( (k4_finseq_1(G)=k4_finseq_1(E) &  ( (! [H] :  (v7_ordinal1(H) =>  (r2_tarski(H, k4_finseq_1(G)) => k12_supinf_2(G, H)=k1_extreal1(k12_supinf_2(E, H), k12_supinf_2(k3_mesfunc2(k1_funct_1(D, H), A), F))) ) )  & k12_supinf_2(C, F)=k4_extreal1(G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_mesfunc3, axiom,  (! [A] :  (m2_finseq_1(A, k6_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (A=B => k4_extreal1(A)=k18_rvsum_1(B)) ) ) ) ) ).
fof(t17_mesfunc3, axiom,  (! [A] :  (m2_finseq_1(A, k6_numbers) =>  (r2_tarski(k1_supinf_1, k2_relset_1(k6_numbers, A)) =>  (r2_tarski(k2_supinf_1, k2_relset_1(k6_numbers, A)) | k4_extreal1(A)=k1_supinf_1) ) ) ) ).
fof(d2_mesfunc3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (r1_mesfunc2(A, B, D) & v6_supinf_2(D))  =>  (! [E] :  (m1_subset_1(E, k6_numbers) =>  (E=k1_mesfunc3(A, B, C, D) <=>  (? [F] :  ( (v1_prob_2(F) & m2_finseq_1(F, B))  &  (? [G] :  (m2_finseq_1(G, k6_numbers) &  (? [H] :  (m2_finseq_1(H, k6_numbers) &  (r1_mesfunc3(A, B, D, F, G) &  (k12_supinf_2(G, 1)=k1_supinf_2 &  ( (! [I] :  (v7_ordinal1(I) =>  ( (r1_xxreal_0(2, I) & r2_tarski(I, k4_finseq_1(G)))  =>  ( ~ (r1_xxreal_0(k12_supinf_2(G, I), k1_supinf_2))  &  ~ (r1_xxreal_0(k1_supinf_1, k12_supinf_2(G, I))) ) ) ) )  &  (k4_finseq_1(H)=k4_finseq_1(F) &  ( (! [I] :  (v7_ordinal1(I) =>  (r2_tarski(I, k4_finseq_1(H)) => k12_supinf_2(H, I)=k1_extreal1(k12_supinf_2(G, I), k12_supinf_2(k4_finseqop(B, k6_numbers, F, C), I))) ) )  & E=k4_extreal1(H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_mesfunc3, axiom,  (! [A] :  (m2_finseq_1(A, k6_numbers) =>  (! [B] :  (m1_subset_1(B, k6_numbers) =>  (! [C] :  (m1_subset_1(C, k6_numbers) =>  ( (C=k3_finseq_1(A) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(A)) => k12_supinf_2(A, D)=B) ) ) )  => k4_extreal1(A)=k1_extreal1(C, B)) ) ) ) ) ) ) ).
fof(dt_k1_mesfunc3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) )  => m1_subset_1(k1_mesfunc3(A, B, C, D), k6_numbers)) ) ).
fof(t1_mesfunc4, axiom,  (! [A] :  (m2_finseq_1(A, k6_numbers) =>  (! [B] :  (m2_finseq_1(B, k6_numbers) =>  (! [C] :  (m2_finseq_1(C, k6_numbers) =>  ( (v6_supinf_2(A) &  (v6_supinf_2(B) &  (k4_finseq_1(A)=k4_finseq_1(B) & C=k3_mesfunc1(k4_ordinal1, A, B)) ) )  => k4_extreal1(C)=k3_supinf_2(k4_extreal1(A), k4_extreal1(B))) ) ) ) ) ) ) ).
fof(t2_mesfunc4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [F] :  ( (v1_prob_2(F) & m2_finseq_1(F, B))  =>  (! [G] :  (m2_finseq_1(G, k6_numbers) =>  (! [H] :  (m2_finseq_1(H, k6_numbers) =>  ( (r1_mesfunc2(A, B, E) &  (v6_supinf_2(E) &  (r1_mesfunc3(A, B, E, F, G) &  (k4_finseq_1(H)=k4_finseq_1(F) &  ( (! [I] :  (v7_ordinal1(I) =>  (r2_tarski(I, k4_finseq_1(H)) => k12_supinf_2(H, I)=k1_extreal1(k12_supinf_2(G, I), k12_supinf_2(k1_partfun1(k4_ordinal1, B, B, k6_numbers, F, C), I))) ) )  & k3_finseq_1(F)=D) ) ) ) )  =>  (k9_xtuple_0(E)=k1_xboole_0 | k1_mesfunc3(A, B, C, E)=k4_extreal1(H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_mesfunc4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [E] :  ( (v1_prob_2(E) & m2_finseq_1(E, B))  =>  (! [F] :  (m2_finseq_1(F, k6_numbers) =>  (! [G] :  (m2_finseq_1(G, k6_numbers) =>  ( (r1_mesfunc2(A, B, C) &  (v6_supinf_2(C) &  (r1_mesfunc3(A, B, C, E, F) &  (k4_finseq_1(G)=k4_finseq_1(E) &  (! [H] :  (v7_ordinal1(H) =>  (r2_tarski(H, k4_finseq_1(G)) => k12_supinf_2(G, H)=k1_extreal1(k12_supinf_2(F, H), k12_supinf_2(k1_partfun1(k4_ordinal1, B, B, k6_numbers, E, D), H))) ) ) ) ) ) )  =>  (k9_xtuple_0(C)=k1_xboole_0 | k1_mesfunc3(A, B, D, C)=k4_extreal1(G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_mesfunc4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k6_numbers) &  (v10_valued_0(D) &  (v6_supinf_2(D) &  (v4_measure1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  ~ ( (r1_mesfunc2(A, B, C) &  ( ~ (k9_xtuple_0(C)=k1_xboole_0)  &  (v6_supinf_2(C) &  (! [E] :  ( (v1_prob_2(E) & m2_finseq_1(E, B))  =>  (! [F] :  (m2_finseq_1(F, k6_numbers) =>  (! [G] :  (m2_finseq_1(G, k6_numbers) =>  ~ ( (r1_mesfunc3(A, B, C, E, F) &  (k4_finseq_1(G)=k4_finseq_1(E) &  ( (! [H] :  (v7_ordinal1(H) =>  (r2_tarski(H, k4_finseq_1(G)) => k12_supinf_2(G, H)=k1_extreal1(k12_supinf_2(F, H), k12_supinf_2(k1_partfun1(k4_ordinal1, B, B, k6_numbers, E, D), H))) ) )  & k1_mesfunc3(A, B, D, C)=k4_extreal1(G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_mesfunc4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (r1_mesfunc2(A, B, D) &  (v6_supinf_2(D) &  (r1_mesfunc2(A, B, E) &  (k9_xtuple_0(E)=k9_xtuple_0(D) & v6_supinf_2(E)) ) ) )  =>  (k9_xtuple_0(D)=k1_xboole_0 |  (r1_mesfunc2(A, B, k3_mesfunc1(A, D, E)) &  ( ~ (k9_xtuple_0(k3_mesfunc1(A, D, E))=k1_xboole_0)  &  ( (! [F] :  (r2_hidden(F, k9_xtuple_0(k3_mesfunc1(A, D, E))) => r1_xxreal_0(k1_supinf_2, k1_funct_1(k3_mesfunc1(A, D, E), F))) )  & k1_mesfunc3(A, B, C, k3_mesfunc1(A, D, E))=k3_supinf_2(k1_mesfunc3(A, B, C, D), k1_mesfunc3(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_mesfunc4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [F] :  (m1_subset_1(F, k6_numbers) =>  ( (r1_mesfunc2(A, B, D) &  (v6_supinf_2(D) &  (r1_xxreal_0(k1_supinf_2, F) &  (k9_xtuple_0(E)=k9_xtuple_0(D) &  (! [G] :  (r2_tarski(G, k9_xtuple_0(E)) => k12_supinf_2(E, G)=k1_extreal1(F, k12_supinf_2(D, G))) ) ) ) ) )  =>  (k9_xtuple_0(D)=k1_xboole_0 |  (r1_xxreal_0(k1_supinf_1, F) | k1_mesfunc3(A, B, C, E)=k1_extreal1(F, k1_mesfunc3(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))) =>  ( (v1_funct_1(B) & v6_supinf_2(B))  =>  (v1_funct_1(B) & v3_mesfunc5(B)) ) ) ) ) ) ).
fof(cc2_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))) =>  ( (v1_funct_1(B) & v2_mesfunc5(B))  =>  (v1_funct_1(B) & v4_mesfunc5(B)) ) ) ) ) ) ).
fof(t1_mesfunc5, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) =>  (! [B] :  (m1_subset_1(B, k6_numbers) => k3_extreal1(k4_supinf_2(A, B))=k3_extreal1(k4_supinf_2(B, A))) ) ) ) ).
fof(t2_mesfunc5, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) =>  (! [B] :  (m1_subset_1(B, k6_numbers) => r1_xxreal_0(k4_supinf_2(B, A), k3_extreal1(k4_supinf_2(A, B)))) ) ) ) ).
fof(t3_mesfunc5, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) =>  (! [B] :  (m1_subset_1(B, k6_numbers) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k3_extreal1(k4_supinf_2(A, B))))  &  ( ~ ( (A=k1_supinf_1 & B=k1_supinf_1) )  &  ( ~ ( (A=k2_supinf_1 & B=k2_supinf_1) )  &  ~ ( ( ~ (A=k1_supinf_1)  &  ( ~ (A=k2_supinf_1)  &  ( ~ (B=k1_supinf_1)  &  ~ (B=k2_supinf_1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_mesfunc5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xxreal_0(B) =>  ~ ( (r1_xxreal_0(k5_numbers, B) &  ( ~ (r1_xxreal_0(A, B))  &  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k4_xxreal_3(k1_newton(2, A), A)) &  (r1_xxreal_0(k2_extreal1(k3_xxreal_3(C, 1), k1_newton(2, A)), B) &  ~ (r1_xxreal_0(k2_extreal1(C, k1_newton(2, A)), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_mesfunc5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_xxreal_0(C) =>  ( (r1_xxreal_0(B, k4_xxreal_3(k1_newton(2, A), A)) & r1_xxreal_0(A, C))  => r1_xxreal_0(k2_extreal1(B, k1_newton(2, A)), C)) ) ) ) ) ) ) ).
fof(t6_mesfunc5, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  (v1_xxreal_0(C) =>  (r1_xxreal_0(k5_numbers, C) =>  (k4_xxreal_3(C, k4_xxreal_0(A, B))=k4_xxreal_0(k4_xxreal_3(C, A), k4_xxreal_3(C, B)) & k4_xxreal_3(C, k3_xxreal_0(A, B))=k3_xxreal_0(k4_xxreal_3(C, A), k4_xxreal_3(C, B))) ) ) ) ) ) ) ) ).
fof(t7_mesfunc5, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) =>  (! [B] :  (m1_subset_1(B, k6_numbers) =>  (! [C] :  (m1_subset_1(C, k6_numbers) =>  (r1_xxreal_0(C, k5_numbers) =>  (k1_extreal1(C, k6_extreal1(A, B))=k5_extreal1(k1_extreal1(C, A), k1_extreal1(C, B)) & k1_extreal1(C, k5_extreal1(A, B))=k6_extreal1(k1_extreal1(C, A), k1_extreal1(C, B))) ) ) ) ) ) ) ) ).
fof(d1_mesfunc5, axiom,  (! [A] :  (v1_mesfunc5(A) <=>  (! [B] :  (m1_subset_1(B, k6_numbers) =>  (r2_tarski(B, A) => r1_xxreal_0(B, k5_numbers)) ) ) ) ) ).
fof(d2_mesfunc5, axiom,  (! [A] :  (v1_relat_1(A) =>  (v2_mesfunc5(A) <=> v1_mesfunc5(k10_xtuple_0(A))) ) ) ).
fof(t8_mesfunc5, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (v2_mesfunc5(B) <=>  (! [C] : r1_xxreal_0(k1_funct_1(B, C), k1_supinf_2)) ) ) ) ) ).
fof(t9_mesfunc5, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (! [C] :  (r2_tarski(C, k1_relset_1(A, B)) => r1_xxreal_0(k12_supinf_2(B, C), k1_supinf_2)) )  => v2_mesfunc5(B)) ) ) ) ).
fof(d3_mesfunc5, axiom,  (! [A] :  (v1_relat_1(A) =>  (v3_mesfunc5(A) <=>  ~ (r2_tarski(k2_supinf_1, k10_xtuple_0(A))) ) ) ) ).
fof(d4_mesfunc5, axiom,  (! [A] :  (v1_relat_1(A) =>  (v4_mesfunc5(A) <=>  ~ (r2_tarski(k1_supinf_1, k10_xtuple_0(A))) ) ) ) ).
fof(d5_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (v3_mesfunc5(B) <=>  (! [C] :  ~ (r1_xxreal_0(k1_funct_1(B, C), k2_supinf_1)) ) ) ) ) ) ) ).
fof(d6_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (v4_mesfunc5(B) <=>  (! [C] :  ~ (r1_xxreal_0(k1_supinf_1, k1_funct_1(B, C))) ) ) ) ) ) ) ).
fof(t10_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (! [C] :  ~ ( (r2_tarski(C, k1_relset_1(A, B)) & r1_xxreal_0(k12_supinf_2(B, C), k2_supinf_1)) ) )  <=> v3_mesfunc5(B)) ) ) ) ) ).
fof(t11_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (! [C] :  ~ ( (r2_tarski(C, k1_relset_1(A, B)) & r1_xxreal_0(k1_supinf_1, k12_supinf_2(B, C))) ) )  <=> v4_mesfunc5(B)) ) ) ) ) ).
fof(t12_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (v6_supinf_2(B) => v3_mesfunc5(B)) ) ) ) ) ).
fof(t13_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (v2_mesfunc5(B) => v4_mesfunc5(B)) ) ) ) ) ).
fof(t14_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (r1_mesfunc2(A, B, C) =>  (v4_mesfunc5(C) & v3_mesfunc5(C)) ) ) ) ) ) ) ) ).
fof(t15_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (v6_supinf_2(C) => v6_supinf_2(k2_partfun1(A, k6_numbers, C, B))) ) ) ) ) ) ).
fof(t16_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (v3_mesfunc5(B) & v3_mesfunc5(C))  => k1_relset_1(A, k3_mesfunc1(A, B, C))=k9_subset_1(A, k1_relset_1(A, B), k1_relset_1(A, C))) ) ) ) ) ) ) ).
fof(t17_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (v3_mesfunc5(B) & v4_mesfunc5(C))  => k1_relset_1(A, k4_mesfunc1(A, B, C))=k9_subset_1(A, k1_relset_1(A, B), k1_relset_1(A, C))) ) ) ) ) ) ) ).
fof(t18_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k3_numbers, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_numbers, B)))) )  =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (m2_subset_1(G, k1_zfmisc_1(A), B) =>  ( (v3_mesfunc5(C) &  (v3_mesfunc5(D) &  (! [H] :  (v1_rat_1(H) => k1_funct_1(E, H)=k9_subset_1(A, k9_subset_1(A, G, k14_mesfunc1(A, C, H)), k9_subset_1(A, G, k14_mesfunc1(A, D, k6_xcmplx_0(F, H))))) ) ) )  => k9_subset_1(A, G, k14_mesfunc1(A, k3_mesfunc1(A, C, D), F))=k3_tarski(k2_relset_1(B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  => k1_mesfunc5(A, B)=B) ) ) ) ).
fof(t19_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (v6_supinf_2(D) & v6_supinf_2(E))  => v6_supinf_2(k3_mesfunc1(A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  (v6_supinf_2(B) =>  ( (r1_xxreal_0(k5_numbers, C) => v6_supinf_2(k6_mesfunc1(A, B, C)))  &  (r1_xxreal_0(C, k5_numbers) => v2_mesfunc5(k6_mesfunc1(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t21_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (! [D] :  (r2_tarski(D, k9_subset_1(A, k1_relset_1(A, B), k1_relset_1(A, C))) =>  (r1_xxreal_0(k12_supinf_2(C, D), k12_supinf_2(B, D)) &  ( ~ (r1_xxreal_0(k12_supinf_2(C, D), k2_supinf_1))  &  ~ (r1_xxreal_0(k1_supinf_1, k12_supinf_2(B, D))) ) ) ) )  => v6_supinf_2(k4_mesfunc1(A, B, C))) ) ) ) ) ) ) ).
fof(t22_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (v6_supinf_2(B) & v6_supinf_2(C))  =>  (k1_relset_1(A, k3_mesfunc1(A, B, C))=k9_subset_1(A, k1_relset_1(A, B), k1_relset_1(A, C)) & v6_supinf_2(k3_mesfunc1(A, B, C))) ) ) ) ) ) ) ) ).
fof(t23_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (v6_supinf_2(B) &  (v6_supinf_2(C) & v6_supinf_2(D)) )  =>  (k1_relset_1(A, k3_mesfunc1(A, k3_mesfunc1(A, B, C), D))=k9_subset_1(A, k9_subset_1(A, k1_relset_1(A, B), k1_relset_1(A, C)), k1_relset_1(A, D)) &  (v6_supinf_2(k3_mesfunc1(A, k3_mesfunc1(A, B, C), D)) &  (! [E] :  (r2_tarski(E, k9_subset_1(A, k9_subset_1(A, k1_relset_1(A, B), k1_relset_1(A, C)), k1_relset_1(A, D))) => k12_supinf_2(k3_mesfunc1(A, k3_mesfunc1(A, B, C), D), E)=k3_supinf_2(k3_supinf_2(k12_supinf_2(B, E), k12_supinf_2(C, E)), k12_supinf_2(D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (v3_mesfunc5(B) & v3_mesfunc5(C))  =>  (k1_relset_1(A, k3_mesfunc1(A, k1_mesfunc2(A, k3_mesfunc1(A, B, C)), k2_mesfunc2(A, B)))=k9_subset_1(A, k1_relset_1(A, B), k1_relset_1(A, C)) &  (k1_relset_1(A, k3_mesfunc1(A, k2_mesfunc2(A, k3_mesfunc1(A, B, C)), k1_mesfunc2(A, B)))=k9_subset_1(A, k1_relset_1(A, B), k1_relset_1(A, C)) &  (k1_relset_1(A, k3_mesfunc1(A, k3_mesfunc1(A, k1_mesfunc2(A, k3_mesfunc1(A, B, C)), k2_mesfunc2(A, B)), k2_mesfunc2(A, C)))=k9_subset_1(A, k1_relset_1(A, B), k1_relset_1(A, C)) &  (k1_relset_1(A, k3_mesfunc1(A, k3_mesfunc1(A, k2_mesfunc2(A, k3_mesfunc1(A, B, C)), k1_mesfunc2(A, B)), k1_mesfunc2(A, C)))=k9_subset_1(A, k1_relset_1(A, B), k1_relset_1(A, C)) &  (v6_supinf_2(k3_mesfunc1(A, k1_mesfunc2(A, k3_mesfunc1(A, B, C)), k2_mesfunc2(A, B))) & v6_supinf_2(k3_mesfunc1(A, k2_mesfunc2(A, k3_mesfunc1(A, B, C)), k1_mesfunc2(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (v3_mesfunc5(B) &  (v4_mesfunc5(B) &  (v3_mesfunc5(C) & v4_mesfunc5(C)) ) )  => r2_relset_1(A, k6_numbers, k3_mesfunc1(A, k3_mesfunc1(A, k1_mesfunc2(A, k3_mesfunc1(A, B, C)), k2_mesfunc2(A, B)), k2_mesfunc2(A, C)), k3_mesfunc1(A, k3_mesfunc1(A, k2_mesfunc2(A, k3_mesfunc1(A, B, C)), k1_mesfunc2(A, B)), k1_mesfunc2(A, C)))) ) ) ) ) ) ) ).
fof(t26_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  (r1_xxreal_0(k5_numbers, C) =>  (r2_relset_1(A, k6_numbers, k1_mesfunc2(A, k6_mesfunc1(A, B, C)), k6_mesfunc1(A, k1_mesfunc2(A, B), C)) & r2_relset_1(A, k6_numbers, k2_mesfunc2(A, k6_mesfunc1(A, B, C)), k6_mesfunc1(A, k2_mesfunc2(A, B), C))) ) ) ) ) ) ) ) ).
fof(t27_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  (r1_xxreal_0(k5_numbers, C) =>  (r2_relset_1(A, k6_numbers, k1_mesfunc2(A, k6_mesfunc1(A, B, k2_xxreal_3(C))), k6_mesfunc1(A, k2_mesfunc2(A, B), C)) & r2_relset_1(A, k6_numbers, k2_mesfunc2(A, k6_mesfunc1(A, B, k2_xxreal_3(C))), k6_mesfunc1(A, k1_mesfunc2(A, B), C))) ) ) ) ) ) ) ) ).
fof(t28_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  (r2_relset_1(A, k6_numbers, k1_mesfunc2(A, k2_partfun1(A, k6_numbers, B, C)), k2_partfun1(A, k6_numbers, k1_mesfunc2(A, B), C)) & r2_relset_1(A, k6_numbers, k2_mesfunc2(A, k2_partfun1(A, k6_numbers, B, C)), k2_partfun1(A, k6_numbers, k2_mesfunc2(A, B), C))) ) ) ) ) ) ).
fof(t29_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [D] :  (r1_tarski(D, k1_relset_1(A, k3_mesfunc1(A, B, C))) =>  (k1_relset_1(A, k2_partfun1(A, k6_numbers, k3_mesfunc1(A, B, C), D))=D &  (k1_relset_1(A, k3_mesfunc1(A, k2_partfun1(A, k6_numbers, B, D), k2_partfun1(A, k6_numbers, C, D)))=D & r2_relset_1(A, k6_numbers, k2_partfun1(A, k6_numbers, k3_mesfunc1(A, B, C), D), k3_mesfunc1(A, k2_partfun1(A, k6_numbers, B, D), k2_partfun1(A, k6_numbers, C, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t30_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  (m1_subset_1(C, k6_numbers) => k18_mesfunc1(A, B, C)=k8_relset_1(A, k6_numbers, B, k1_tarski(C))) ) ) ) ) ) ).
fof(t31_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  ( (v3_mesfunc5(C) &  (v3_mesfunc5(D) &  (r1_mesfunc1(A, B, C, E) & r1_mesfunc1(A, B, D, E)) ) )  => r1_mesfunc1(A, B, k3_mesfunc1(A, C, D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ~ ( (r1_mesfunc2(A, B, D) &  (k1_relset_1(A, D)=k1_xboole_0 &  (! [E] :  ( (v1_prob_2(E) & m2_finseq_1(E, B))  =>  (! [F] :  (m2_finseq_1(F, k6_numbers) =>  (! [G] :  (m2_finseq_1(G, k6_numbers) =>  ~ ( (r1_mesfunc3(A, B, D, E, F) &  (k12_supinf_2(F, 1)=k5_numbers &  ( (! [H] :  (v7_ordinal1(H) =>  ( (r1_xxreal_0(2, H) & r2_tarski(H, k1_relset_1(k4_ordinal1, F)))  =>  ( ~ (r1_xxreal_0(k12_supinf_2(F, H), k5_numbers))  &  ~ (r1_xxreal_0(k1_supinf_1, k12_supinf_2(F, H))) ) ) ) )  &  (k1_relset_1(k4_ordinal1, G)=k1_relset_1(k4_ordinal1, E) &  ( (! [H] :  (v7_ordinal1(H) =>  (r2_tarski(H, k1_relset_1(k4_ordinal1, G)) => k12_supinf_2(G, H)=k1_extreal1(k12_supinf_2(F, H), k12_supinf_2(k4_finseqop(B, k6_numbers, E, C), H))) ) )  & k4_extreal1(G)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (r1_mesfunc1(A, B, C, D) & r1_tarski(D, k1_relset_1(A, C)))  => r2_tarski(k9_subset_1(A, k9_subset_1(A, D, k17_mesfunc1(A, C, E)), k14_mesfunc1(A, C, F)), B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (r1_mesfunc2(A, B, D) => r1_mesfunc2(A, B, k2_partfun1(A, k6_numbers, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(A), B) =>  (! [D] :  ( (v1_prob_2(D) & m2_finseq_1(D, B))  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  ( (k1_relset_1(k4_ordinal1, D)=k1_relset_1(k4_ordinal1, E) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k1_relset_1(k4_ordinal1, D)) => k1_funct_1(E, F)=k9_subset_1(A, k1_funct_1(D, F), C)) ) ) )  =>  (v1_prob_2(E) & m2_finseq_1(E, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  ( (v1_prob_2(E) & m2_finseq_1(E, B))  =>  (! [F] :  ( (v1_prob_2(F) & m2_finseq_1(F, B))  =>  (! [G] :  (m2_finseq_1(G, k6_numbers) =>  ( (k1_relset_1(k4_ordinal1, E)=k1_relset_1(k4_ordinal1, F) &  ( (! [H] :  (v7_ordinal1(H) =>  (r2_tarski(H, k1_relset_1(k4_ordinal1, E)) => k1_funct_1(F, H)=k9_subset_1(A, k1_funct_1(E, H), D)) ) )  & r1_mesfunc3(A, B, C, E, G)) )  => r1_mesfunc3(A, B, k2_partfun1(A, k6_numbers, C, D), F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (r1_mesfunc2(A, B, D) => m2_subset_1(k1_relset_1(A, D), k1_zfmisc_1(A), B)) ) ) ) ) ) ) ) ) ).
fof(t38_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (r1_mesfunc2(A, B, C) & r1_mesfunc2(A, B, D))  => r1_mesfunc2(A, B, k3_mesfunc1(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t39_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (v1_xreal_0(E) =>  (r1_mesfunc2(A, B, D) => r1_mesfunc2(A, B, k6_mesfunc1(A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (r1_mesfunc2(A, B, D) &  (r1_mesfunc2(A, B, E) &  (! [F] :  (r2_hidden(F, k1_relset_1(A, k4_mesfunc1(A, D, E))) => r1_xxreal_0(k1_funct_1(E, F), k1_funct_1(D, F))) ) ) )  => v6_supinf_2(k4_mesfunc1(A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (m1_subset_1(E, k6_numbers) =>  ~ ( ( ~ (E=k1_supinf_1)  &  ( ~ (E=k2_supinf_1)  &  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ~ ( (r1_mesfunc2(A, B, F) &  (k1_relset_1(A, F)=D &  (! [G] :  (r2_hidden(G, D) => k1_funct_1(F, G)=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ( (r1_mesfunc1(A, B, D, E) & F=k9_subset_1(A, k1_relset_1(A, D), E))  => r1_mesfunc1(A, B, k2_partfun1(A, k6_numbers, D, E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (r1_tarski(D, k1_relset_1(A, E)) &  (r1_mesfunc1(A, B, E, D) &  (r1_mesfunc1(A, B, F, D) &  (v3_mesfunc5(E) & v3_mesfunc5(F)) ) ) )  => r1_mesfunc1(A, B, k3_mesfunc1(A, k1_mesfunc2(A, k3_mesfunc1(A, E, F)), k2_mesfunc2(A, E)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (r1_tarski(D, k9_subset_1(A, k1_relset_1(A, E), k1_relset_1(A, F))) &  (r1_mesfunc1(A, B, E, D) &  (r1_mesfunc1(A, B, F, D) &  (v3_mesfunc5(E) & v3_mesfunc5(F)) ) ) )  => r1_mesfunc1(A, B, k3_mesfunc1(A, k2_mesfunc2(A, k3_mesfunc1(A, E, F)), k1_mesfunc2(A, E)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (r2_tarski(D, B) => r1_xxreal_0(k5_numbers, k12_supinf_2(C, D))) ) ) ) ) ) ) ) ).
fof(t46_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (r2_tarski(k8_relset_1(A, k6_numbers, D, k1_tarski(k1_supinf_1)), B) &  (r2_tarski(k8_relset_1(A, k6_numbers, D, k1_tarski(k2_supinf_1)), B) &  (r2_tarski(k8_relset_1(A, k6_numbers, E, k1_tarski(k1_supinf_1)), B) & r2_tarski(k8_relset_1(A, k6_numbers, E, k1_tarski(k2_supinf_1)), B)) ) )  =>  ( (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ~ ( (F=k1_relset_1(A, D) & r1_mesfunc1(A, B, D, F)) ) ) )  |  ( (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ~ ( (F=k1_relset_1(A, E) & r1_mesfunc1(A, B, E, F)) ) ) )  | r2_tarski(k1_relset_1(A, k3_mesfunc1(A, D, E)), B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ~ ( ( (? [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) &  (F=k1_relset_1(A, D) & r1_mesfunc1(A, B, D, F)) ) )  &  ( (? [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) &  (F=k1_relset_1(A, E) & r1_mesfunc1(A, B, E, F)) ) )  &  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ~ ( (F=k1_relset_1(A, k3_mesfunc1(A, D, E)) & r1_mesfunc1(A, B, k3_mesfunc1(A, D, E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  (k1_relset_1(A, D)=E =>  (r1_mesfunc1(A, B, D, F) <=> r1_mesfunc1(A, B, D, k5_prob_1(A, B, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (? [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) & k1_relset_1(A, D)=E) )  =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  (r1_mesfunc1(A, B, D, F) => r1_mesfunc1(A, B, k6_mesfunc1(A, D, E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_mesfunc5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (v7_mesfunc5(A) <=>  (? [B] :  (v1_xreal_0(B) &  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  (r1_xxreal_0(D, E) & r1_xxreal_0(C, k3_extreal1(k3_xxreal_3(k8_nat_1(k6_numbers, A, E), B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_mesfunc5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (v8_mesfunc5(A) <=>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  (! [C] :  (v7_ordinal1(C) =>  (? [D] :  (v7_ordinal1(D) &  (r1_xxreal_0(C, D) &  ~ (r1_xxreal_0(B, k8_nat_1(k6_numbers, A, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_mesfunc5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (v9_mesfunc5(A) <=>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(k5_numbers, B))  &  (! [C] :  (v7_ordinal1(C) =>  (? [D] :  (v7_ordinal1(D) &  (r1_xxreal_0(C, D) &  ~ (r1_xxreal_0(k8_nat_1(k6_numbers, A, D), B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_mesfunc5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (v8_mesfunc5(A) =>  ( ~ (v9_mesfunc5(A))  &  ~ (v7_mesfunc5(A)) ) ) ) ) ).
fof(t51_mesfunc5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (v9_mesfunc5(A) =>  ( ~ (v8_mesfunc5(A))  &  ~ (v7_mesfunc5(A)) ) ) ) ) ).
fof(d11_mesfunc5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (v10_mesfunc5(A) <=>  ~ ( ( ~ (v7_mesfunc5(A))  &  ( ~ (v8_mesfunc5(A))  &  ~ (v9_mesfunc5(A)) ) ) ) ) ) ) ).
fof(d12_mesfunc5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (v10_mesfunc5(A) =>  (! [B] :  (m1_subset_1(B, k6_numbers) =>  (B=k2_mesfunc5(A) <=>  ~ ( ( (! [C] :  (v1_xreal_0(C) =>  ~ ( (B=C &  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v7_ordinal1(E) =>  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(E, F) & r1_xxreal_0(D, k3_extreal1(k4_supinf_2(k8_nat_1(k6_numbers, A, F), B)))) ) ) ) ) ) ) ) )  & v7_mesfunc5(A)) ) ) ) )  &  ( ~ ( (B=k1_supinf_1 & v8_mesfunc5(A)) )  &  ~ ( (B=k2_supinf_1 & v9_mesfunc5(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_mesfunc5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  (v1_xreal_0(B) =>  ( (! [C] :  (v7_ordinal1(C) => k8_nat_1(k6_numbers, A, C)=B) )  =>  (v7_mesfunc5(A) & k2_mesfunc5(A)=B) ) ) ) ) ) ).
fof(t53_mesfunc5, axiom,  (! [A] :  (m2_finseq_1(A, k6_numbers) =>  ( (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k1_relset_1(k4_ordinal1, A)) => r1_xxreal_0(k5_numbers, k12_supinf_2(A, B))) ) )  => r1_xxreal_0(k5_numbers, k4_extreal1(A))) ) ) ).
fof(t54_mesfunc5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, C) => r1_xxreal_0(k8_nat_1(k6_numbers, A, B), k8_nat_1(k6_numbers, A, C))) ) ) ) )  =>  (v10_mesfunc5(A) & k2_mesfunc5(A)=k8_supinf_2(k15_supinf_2(A))) ) ) ) ).
fof(t55_mesfunc5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k8_nat_1(k6_numbers, A, C), k8_nat_1(k6_numbers, B, C))) )  => r1_xxreal_0(k8_supinf_2(k15_supinf_2(A)), k8_supinf_2(k15_supinf_2(B)))) ) ) ) ) ).
fof(t56_mesfunc5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) => r1_xxreal_0(k8_nat_1(k6_numbers, A, B), k8_supinf_2(k15_supinf_2(A)))) ) ) ) ).
fof(t57_mesfunc5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  (m1_subset_1(B, k6_numbers) =>  ( (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k8_nat_1(k6_numbers, A, C), B)) )  => r1_xxreal_0(k8_supinf_2(k15_supinf_2(A)), B)) ) ) ) ) ).
fof(t58_mesfunc5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  (m1_subset_1(B, k6_numbers) =>  ~ ( ( ~ (B=k1_supinf_1)  &  ( (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k8_nat_1(k6_numbers, A, C), B)) )  & r1_xxreal_0(k1_supinf_1, k8_supinf_2(k15_supinf_2(A)))) ) ) ) ) ) ) ).
fof(t59_mesfunc5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (v3_mesfunc5(A) =>  ( ~ ( ( ~ (k8_supinf_2(k15_supinf_2(A))=k1_supinf_1)  &  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k8_nat_1(k6_numbers, A, C), B)) ) ) ) ) ) ) )  &  ~ ( ( (? [B] :  (v1_xreal_0(B) &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k8_nat_1(k6_numbers, A, C), B)) ) ) ) )  & k8_supinf_2(k15_supinf_2(A))=k1_supinf_1) ) ) ) ) ) ).
fof(t60_mesfunc5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  (v1_xxreal_0(B) =>  ( (! [C] :  (v7_ordinal1(C) => k8_nat_1(k6_numbers, A, C)=B) )  =>  (v10_mesfunc5(A) &  (k2_mesfunc5(A)=B & k2_mesfunc5(A)=k8_supinf_2(k15_supinf_2(A))) ) ) ) ) ) ) ).
fof(t61_mesfunc5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( ( (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(D, E) => r1_xxreal_0(k8_nat_1(k6_numbers, A, D), k8_nat_1(k6_numbers, A, E))) ) ) ) )  &  ( (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(D, E) => r1_xxreal_0(k8_nat_1(k6_numbers, B, D), k8_nat_1(k6_numbers, B, E))) ) ) ) )  &  (v3_mesfunc5(A) &  (v3_mesfunc5(B) &  (! [D] :  (v7_ordinal1(D) => k3_supinf_2(k8_nat_1(k6_numbers, A, D), k8_nat_1(k6_numbers, B, D))=k8_nat_1(k6_numbers, C, D)) ) ) ) ) )  =>  (v10_mesfunc5(C) &  (k2_mesfunc5(C)=k8_supinf_2(k15_supinf_2(C)) &  (k2_mesfunc5(C)=k3_supinf_2(k2_mesfunc5(A), k2_mesfunc5(B)) & k8_supinf_2(k15_supinf_2(C))=k3_supinf_2(k8_supinf_2(k15_supinf_2(B)), k8_supinf_2(k15_supinf_2(A)))) ) ) ) ) ) ) ) ) ) ).
fof(t62_mesfunc5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_xxreal_0(k5_numbers, C) &  (v3_mesfunc5(A) &  (! [D] :  (v7_ordinal1(D) => k8_nat_1(k6_numbers, B, D)=k4_xxreal_3(C, k8_nat_1(k6_numbers, A, D))) ) ) )  =>  (k8_supinf_2(k15_supinf_2(B))=k4_xxreal_3(C, k8_supinf_2(k15_supinf_2(A))) & v3_mesfunc5(B)) ) ) ) ) ) ) ) ).
fof(t63_mesfunc5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_xxreal_0(k5_numbers, C) &  ( (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(D, E) => r1_xxreal_0(k8_nat_1(k6_numbers, A, D), k8_nat_1(k6_numbers, A, E))) ) ) ) )  &  ( (! [D] :  (v7_ordinal1(D) => k8_nat_1(k6_numbers, B, D)=k4_xxreal_3(C, k8_nat_1(k6_numbers, A, D))) )  & v3_mesfunc5(A)) ) )  =>  ( (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(D, E) => r1_xxreal_0(k8_nat_1(k6_numbers, B, D), k8_nat_1(k6_numbers, B, E))) ) ) ) )  &  (v3_mesfunc5(B) &  (v10_mesfunc5(B) &  (k2_mesfunc5(B)=k8_supinf_2(k15_supinf_2(B)) & k2_mesfunc5(B)=k4_xxreal_3(C, k2_mesfunc5(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k6_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (D=k3_mesfunc5(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) => k8_nat_1(k6_numbers, D, E)=k12_supinf_2(k1_seqfunc(A, k6_numbers, B, E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ~ ( ( (? [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) &  (D=k1_relset_1(A, C) & r1_mesfunc1(A, B, C, D)) ) )  &  (v6_supinf_2(C) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  ~ ( ( (! [E] :  (v7_ordinal1(E) =>  (r1_mesfunc2(A, B, k4_mesfunc5(A, k6_numbers, D, E)) & k1_relset_1(A, k4_mesfunc5(A, k6_numbers, D, E))=k1_relset_1(A, C)) ) )  &  ( (! [E] :  (v7_ordinal1(E) => v6_supinf_2(k4_mesfunc5(A, k6_numbers, D, E))) )  &  ( (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (r1_xxreal_0(E, F) =>  (! [G] :  (m1_subset_1(G, A) =>  (r2_tarski(G, k1_relset_1(A, C)) => r1_xxreal_0(k12_supinf_2(k4_mesfunc5(A, k6_numbers, D, E), G), k12_supinf_2(k4_mesfunc5(A, k6_numbers, D, F), G))) ) ) ) ) ) ) )  &  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, k1_relset_1(A, C)) =>  (v10_mesfunc5(k3_mesfunc5(A, D, E)) & k2_mesfunc5(k3_mesfunc5(A, D, E))=k12_supinf_2(C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( ( ~ (k1_relset_1(A, D)=k1_xboole_0)  => k5_mesfunc5(A, B, C, D)=k1_mesfunc3(A, B, C, D))  &  (k1_relset_1(A, D)=k1_xboole_0 => k5_mesfunc5(A, B, C, D)=k1_supinf_2) ) ) ) ) ) ) ) ) ) ).
fof(t65_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (r1_mesfunc2(A, B, D) &  (r1_mesfunc2(A, B, E) &  (v6_supinf_2(D) & v6_supinf_2(E)) ) )  =>  (k1_relset_1(A, k3_mesfunc1(A, D, E))=k9_subset_1(A, k1_relset_1(A, D), k1_relset_1(A, E)) & k5_mesfunc5(A, B, C, k3_mesfunc1(A, D, E))=k3_supinf_2(k5_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, k1_relset_1(A, k3_mesfunc1(A, D, E)))), k5_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, E, k1_relset_1(A, k3_mesfunc1(A, D, E)))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (v1_xreal_0(E) =>  ( (r1_mesfunc2(A, B, D) &  (v6_supinf_2(D) & r1_xxreal_0(k5_numbers, E)) )  => k5_mesfunc5(A, B, C, k6_mesfunc1(A, D, E))=k4_xxreal_3(E, k5_mesfunc5(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ( (r1_mesfunc2(A, B, D) &  (v6_supinf_2(D) & r1_xboole_0(E, F)) )  => k5_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, k6_prob_1(A, B, E, F)))=k3_supinf_2(k5_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, E)), k5_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (r1_mesfunc2(A, B, D) & v6_supinf_2(D))  => r1_xxreal_0(k5_numbers, k5_mesfunc5(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t69_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (r1_mesfunc2(A, B, D) &  (v6_supinf_2(D) &  (r1_mesfunc2(A, B, E) &  (v6_supinf_2(E) &  (! [F] :  (r2_hidden(F, k1_relset_1(A, k4_mesfunc1(A, D, E))) => r1_xxreal_0(k1_funct_1(E, F), k1_funct_1(D, F))) ) ) ) ) )  =>  (k1_relset_1(A, k4_mesfunc1(A, D, E))=k9_subset_1(A, k1_relset_1(A, D), k1_relset_1(A, E)) & k5_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, k1_relset_1(A, k4_mesfunc1(A, D, E))))=k3_supinf_2(k5_mesfunc5(A, B, C, k4_mesfunc1(A, D, E)), k5_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, E, k1_relset_1(A, k4_mesfunc1(A, D, E)))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (r1_mesfunc2(A, B, D) &  (r1_mesfunc2(A, B, E) &  (v6_supinf_2(D) &  (v6_supinf_2(E) &  (! [F] :  (r2_hidden(F, k1_relset_1(A, k4_mesfunc1(A, D, E))) => r1_xxreal_0(k1_funct_1(E, F), k1_funct_1(D, F))) ) ) ) ) )  => r1_xxreal_0(k5_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, E, k1_relset_1(A, k4_mesfunc1(A, D, E)))), k5_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, k1_relset_1(A, k4_mesfunc1(A, D, E)))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (m1_subset_1(E, k6_numbers) =>  ( (r1_xxreal_0(k5_numbers, E) &  (r1_mesfunc2(A, B, D) &  (! [F] :  (r2_hidden(F, k1_relset_1(A, D)) => k1_funct_1(D, F)=E) ) ) )  => k5_mesfunc5(A, B, C, D)=k1_extreal1(E, k12_supinf_2(C, k1_relset_1(A, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t72_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (r1_mesfunc2(A, B, D) & v6_supinf_2(D))  => k5_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, k18_mesfunc1(A, D, k5_numbers)))=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(t73_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (r1_mesfunc2(A, B, E) &  (k12_supinf_2(C, D)=k5_numbers & v6_supinf_2(E)) )  => k5_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, E, D))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ).
fof(t74_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k6_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( (r1_mesfunc2(A, B, D) &  ( (! [G] :  ~ ( (r2_hidden(G, k1_relset_1(A, D)) & r1_xxreal_0(k1_funct_1(D, G), k5_numbers)) ) )  &  ( (! [G] :  (v7_ordinal1(G) => r1_mesfunc2(A, B, k4_mesfunc5(A, k6_numbers, E, G))) )  &  ( (! [G] :  (v7_ordinal1(G) => k1_relset_1(A, k4_mesfunc5(A, k6_numbers, E, G))=k1_relset_1(A, D)) )  &  ( (! [G] :  (v7_ordinal1(G) => v6_supinf_2(k4_mesfunc5(A, k6_numbers, E, G))) )  &  ( (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (v7_ordinal1(H) =>  (r1_xxreal_0(G, H) =>  (! [I] :  (m1_subset_1(I, A) =>  (r2_tarski(I, k1_relset_1(A, D)) => r1_xxreal_0(k12_supinf_2(k4_mesfunc5(A, k6_numbers, E, G), I), k12_supinf_2(k4_mesfunc5(A, k6_numbers, E, H), I))) ) ) ) ) ) ) )  &  ( (! [G] :  (m1_subset_1(G, A) =>  (r2_tarski(G, k1_relset_1(A, D)) =>  (v10_mesfunc5(k3_mesfunc5(A, E, G)) & r1_xxreal_0(k12_supinf_2(D, G), k2_mesfunc5(k3_mesfunc5(A, E, G)))) ) ) )  &  (! [G] :  (v7_ordinal1(G) => k8_nat_1(k6_numbers, F, G)=k5_mesfunc5(A, B, C, k4_mesfunc5(A, k6_numbers, E, G))) ) ) ) ) ) ) ) )  =>  (v10_mesfunc5(F) & r1_xxreal_0(k5_mesfunc5(A, B, C, D), k2_mesfunc5(F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  ~ ( (r1_mesfunc2(A, B, D) &  (v6_supinf_2(D) &  ( (! [F] :  (v7_ordinal1(F) => r1_mesfunc2(A, B, k4_mesfunc5(A, k6_numbers, E, F))) )  &  ( (! [F] :  (v7_ordinal1(F) => k1_relset_1(A, k4_mesfunc5(A, k6_numbers, E, F))=k1_relset_1(A, D)) )  &  ( (! [F] :  (v7_ordinal1(F) => v6_supinf_2(k4_mesfunc5(A, k6_numbers, E, F))) )  &  ( (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  (r1_xxreal_0(F, G) =>  (! [H] :  (m1_subset_1(H, A) =>  (r2_tarski(H, k1_relset_1(A, D)) => r1_xxreal_0(k12_supinf_2(k4_mesfunc5(A, k6_numbers, E, F), H), k12_supinf_2(k4_mesfunc5(A, k6_numbers, E, G), H))) ) ) ) ) ) ) )  &  ( (! [F] :  (m1_subset_1(F, A) =>  (r2_tarski(F, k1_relset_1(A, D)) =>  (v10_mesfunc5(k3_mesfunc5(A, E, F)) & r1_xxreal_0(k12_supinf_2(D, F), k2_mesfunc5(k3_mesfunc5(A, E, F)))) ) ) )  &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k6_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ~ ( ( (! [G] :  (v7_ordinal1(G) => k8_nat_1(k6_numbers, F, G)=k5_mesfunc5(A, B, C, k4_mesfunc5(A, k6_numbers, E, G))) )  &  (v10_mesfunc5(F) &  (k8_supinf_2(k15_supinf_2(F))=k2_mesfunc5(F) & r1_xxreal_0(k5_mesfunc5(A, B, C, D), k2_mesfunc5(F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t76_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, k6_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k4_ordinal1, k6_numbers) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( ( (! [I] :  (v7_ordinal1(I) =>  (r1_mesfunc2(A, B, k4_mesfunc5(A, k6_numbers, E, I)) & k1_relset_1(A, k4_mesfunc5(A, k6_numbers, E, I))=D) ) )  &  ( (! [I] :  (v7_ordinal1(I) => v6_supinf_2(k4_mesfunc5(A, k6_numbers, E, I))) )  &  ( (! [I] :  (v7_ordinal1(I) =>  (! [J] :  (v7_ordinal1(J) =>  (r1_xxreal_0(I, J) =>  (! [K] :  (m1_subset_1(K, A) =>  (r2_tarski(K, D) => r1_xxreal_0(k12_supinf_2(k4_mesfunc5(A, k6_numbers, E, I), K), k12_supinf_2(k4_mesfunc5(A, k6_numbers, E, J), K))) ) ) ) ) ) ) )  &  ( (! [I] :  (v7_ordinal1(I) =>  (r1_mesfunc2(A, B, k4_mesfunc5(A, k6_numbers, F, I)) & k1_relset_1(A, k4_mesfunc5(A, k6_numbers, F, I))=D) ) )  &  ( (! [I] :  (v7_ordinal1(I) => v6_supinf_2(k4_mesfunc5(A, k6_numbers, F, I))) )  &  ( (! [I] :  (v7_ordinal1(I) =>  (! [J] :  (v7_ordinal1(J) =>  (r1_xxreal_0(I, J) =>  (! [K] :  (m1_subset_1(K, A) =>  (r2_tarski(K, D) => r1_xxreal_0(k12_supinf_2(k4_mesfunc5(A, k6_numbers, F, I), K), k12_supinf_2(k4_mesfunc5(A, k6_numbers, F, J), K))) ) ) ) ) ) ) )  &  ( (! [I] :  (m1_subset_1(I, A) =>  (r2_tarski(I, D) =>  (v10_mesfunc5(k3_mesfunc5(A, E, I)) &  (v10_mesfunc5(k3_mesfunc5(A, F, I)) & k2_mesfunc5(k3_mesfunc5(A, E, I))=k2_mesfunc5(k3_mesfunc5(A, F, I))) ) ) ) )  &  (! [I] :  (v7_ordinal1(I) =>  (k8_nat_1(k6_numbers, G, I)=k5_mesfunc5(A, B, C, k4_mesfunc5(A, k6_numbers, E, I)) & k8_nat_1(k6_numbers, H, I)=k5_mesfunc5(A, B, C, k4_mesfunc5(A, k6_numbers, F, I))) ) ) ) ) ) ) ) ) )  =>  (v10_mesfunc5(G) &  (v10_mesfunc5(H) & k2_mesfunc5(G)=k2_mesfunc5(H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (v6_supinf_2(D) =>  ( (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  ~ ( (E=k1_relset_1(A, D) & r1_mesfunc1(A, B, D, E)) ) ) )  |  (! [E] :  (m1_subset_1(E, k6_numbers) =>  (E=k6_mesfunc5(A, B, C, D) <=>  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  &  (? [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, k6_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  &  ( (! [H] :  (v7_ordinal1(H) =>  (r1_mesfunc2(A, B, k4_mesfunc5(A, k6_numbers, F, H)) & k1_relset_1(A, k4_mesfunc5(A, k6_numbers, F, H))=k1_relset_1(A, D)) ) )  &  ( (! [H] :  (v7_ordinal1(H) => v6_supinf_2(k4_mesfunc5(A, k6_numbers, F, H))) )  &  ( (! [H] :  (v7_ordinal1(H) =>  (! [I] :  (v7_ordinal1(I) =>  (r1_xxreal_0(H, I) =>  (! [J] :  (m1_subset_1(J, A) =>  (r2_tarski(J, k1_relset_1(A, D)) => r1_xxreal_0(k12_supinf_2(k4_mesfunc5(A, k6_numbers, F, H), J), k12_supinf_2(k4_mesfunc5(A, k6_numbers, F, I), J))) ) ) ) ) ) ) )  &  ( (! [H] :  (m1_subset_1(H, A) =>  (r2_tarski(H, k1_relset_1(A, D)) =>  (v10_mesfunc5(k3_mesfunc5(A, F, H)) & k2_mesfunc5(k3_mesfunc5(A, F, H))=k12_supinf_2(D, H)) ) ) )  &  ( (! [H] :  (v7_ordinal1(H) => k8_nat_1(k6_numbers, G, H)=k5_mesfunc5(A, B, C, k4_mesfunc5(A, k6_numbers, F, H))) )  &  (v10_mesfunc5(G) & E=k2_mesfunc5(G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t77_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (r1_mesfunc2(A, B, D) & v6_supinf_2(D))  => k6_mesfunc5(A, B, C, D)=k5_mesfunc5(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t78_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ~ ( ( (? [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) &  (F=k1_relset_1(A, D) & r1_mesfunc1(A, B, D, F)) ) )  &  ( (? [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) &  (F=k1_relset_1(A, E) & r1_mesfunc1(A, B, E, F)) ) )  &  (v6_supinf_2(D) &  (v6_supinf_2(E) &  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ~ ( (F=k1_relset_1(A, k3_mesfunc1(A, D, E)) & k6_mesfunc5(A, B, C, k3_mesfunc1(A, D, E))=k3_supinf_2(k6_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, F)), k6_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t79_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (v6_supinf_2(D) =>  ( (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  ~ ( (E=k1_relset_1(A, D) & r1_mesfunc1(A, B, D, E)) ) ) )  | r1_xxreal_0(k5_numbers, k6_mesfunc5(A, B, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t80_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (v6_supinf_2(D) =>  ( (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ~ ( (F=k1_relset_1(A, D) & r1_mesfunc1(A, B, D, F)) ) ) )  | r1_xxreal_0(k5_numbers, k6_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t81_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ( (v6_supinf_2(D) & r1_xboole_0(E, F))  =>  ( (! [G] :  (m2_subset_1(G, k1_zfmisc_1(A), B) =>  ~ ( (G=k1_relset_1(A, D) & r1_mesfunc1(A, B, D, G)) ) ) )  | k6_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, k6_prob_1(A, B, E, F)))=k3_supinf_2(k6_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, E)), k6_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t82_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  ( (v6_supinf_2(D) & k12_supinf_2(C, E)=k5_numbers)  =>  ( (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ~ ( (F=k1_relset_1(A, D) & r1_mesfunc1(A, B, D, F)) ) ) )  | k6_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, E))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t83_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ( (v6_supinf_2(D) & r1_tarski(E, F))  =>  ( (! [G] :  (m2_subset_1(G, k1_zfmisc_1(A), B) =>  ~ ( (G=k1_relset_1(A, D) & r1_mesfunc1(A, B, D, G)) ) ) )  | r1_xxreal_0(k6_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, E)), k6_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t84_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ( (v6_supinf_2(D) &  (E=k1_relset_1(A, D) &  (r1_mesfunc1(A, B, D, E) & k12_supinf_2(C, F)=k5_numbers) ) )  => k6_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, k7_prob_1(A, B, E, F)))=k6_mesfunc5(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t85_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (v6_supinf_2(D) &  (v6_supinf_2(E) &  (! [F] :  (m1_subset_1(F, A) =>  (r2_tarski(F, k1_relset_1(A, E)) => r1_xxreal_0(k12_supinf_2(E, F), k12_supinf_2(D, F))) ) ) ) )  =>  ( (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ~ ( (F=k1_relset_1(A, D) &  (F=k1_relset_1(A, E) &  (r1_mesfunc1(A, B, D, F) & r1_mesfunc1(A, B, E, F)) ) ) ) ) )  | r1_xxreal_0(k6_mesfunc5(A, B, C, E), k6_mesfunc5(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t86_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (v1_xreal_0(E) =>  ( (r1_xxreal_0(k5_numbers, E) & v6_supinf_2(D))  =>  ( (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ~ ( (F=k1_relset_1(A, D) & r1_mesfunc1(A, B, D, F)) ) ) )  | k6_mesfunc5(A, B, C, k6_mesfunc1(A, D, E))=k4_xxreal_3(E, k6_mesfunc5(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t87_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, k1_relset_1(A, D)) => k5_numbers=k12_supinf_2(D, E)) ) )  =>  ( (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  ~ ( (E=k1_relset_1(A, D) & r1_mesfunc1(A, B, D, E)) ) ) )  | k6_mesfunc5(A, B, C, D)=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(d16_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  => k7_mesfunc5(A, B, C, D)=k4_supinf_2(k6_mesfunc5(A, B, C, k1_mesfunc2(A, D)), k6_mesfunc5(A, B, C, k2_mesfunc2(A, D)))) ) ) ) ) ) ) ) ).
fof(t88_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (v6_supinf_2(D) =>  ( (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  ~ ( (E=k1_relset_1(A, D) & r1_mesfunc1(A, B, D, E)) ) ) )  | k7_mesfunc5(A, B, C, D)=k6_mesfunc5(A, B, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t89_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (r1_mesfunc2(A, B, D) & v6_supinf_2(D))  =>  (k7_mesfunc5(A, B, C, D)=k6_mesfunc5(A, B, C, D) & k7_mesfunc5(A, B, C, D)=k5_mesfunc5(A, B, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t90_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (v6_supinf_2(D) =>  ( (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  ~ ( (E=k1_relset_1(A, D) & r1_mesfunc1(A, B, D, E)) ) ) )  | r1_xxreal_0(k5_numbers, k7_mesfunc5(A, B, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t91_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ( (v6_supinf_2(D) & r1_xboole_0(E, F))  =>  ( (! [G] :  (m2_subset_1(G, k1_zfmisc_1(A), B) =>  ~ ( (G=k1_relset_1(A, D) & r1_mesfunc1(A, B, D, G)) ) ) )  | k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, k6_prob_1(A, B, E, F)))=k3_supinf_2(k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, E)), k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t92_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (v6_supinf_2(D) =>  ( (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ~ ( (F=k1_relset_1(A, D) & r1_mesfunc1(A, B, D, F)) ) ) )  | r1_xxreal_0(k5_numbers, k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t93_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ( (v6_supinf_2(D) & r1_tarski(E, F))  =>  ( (! [G] :  (m2_subset_1(G, k1_zfmisc_1(A), B) =>  ~ ( (G=k1_relset_1(A, D) & r1_mesfunc1(A, B, D, G)) ) ) )  | r1_xxreal_0(k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, E)), k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t94_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (k12_supinf_2(C, E)=k5_numbers =>  ( (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ~ ( (F=k1_relset_1(A, D) & r1_mesfunc1(A, B, D, F)) ) ) )  | k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, E))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t95_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ( (E=k1_relset_1(A, D) &  (r1_mesfunc1(A, B, D, E) & k12_supinf_2(C, F)=k5_numbers) )  => k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, k7_prob_1(A, B, E, F)))=k7_mesfunc5(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (r1_mesfunc5(A, B, C, D) <=>  ( (? [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) &  (E=k1_relset_1(A, D) & r1_mesfunc1(A, B, D, E)) ) )  &  ( ~ (r1_xxreal_0(k1_supinf_1, k6_mesfunc5(A, B, C, k1_mesfunc2(A, D))))  &  ~ (r1_xxreal_0(k1_supinf_1, k6_mesfunc5(A, B, C, k2_mesfunc2(A, D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t96_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (r1_mesfunc5(A, B, C, D) =>  (r1_xxreal_0(k5_numbers, k6_mesfunc5(A, B, C, k1_mesfunc2(A, D))) &  (r1_xxreal_0(k5_numbers, k6_mesfunc5(A, B, C, k2_mesfunc2(A, D))) &  ( ~ (r1_xxreal_0(k7_mesfunc5(A, B, C, D), k2_supinf_1))  &  ~ (r1_xxreal_0(k1_supinf_1, k7_mesfunc5(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t97_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (r1_mesfunc5(A, B, C, D) =>  (r1_xxreal_0(k6_mesfunc5(A, B, C, k1_mesfunc2(A, k2_partfun1(A, k6_numbers, D, E))), k6_mesfunc5(A, B, C, k1_mesfunc2(A, D))) &  (r1_xxreal_0(k6_mesfunc5(A, B, C, k2_mesfunc2(A, k2_partfun1(A, k6_numbers, D, E))), k6_mesfunc5(A, B, C, k2_mesfunc2(A, D))) & r1_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t98_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ( (r1_mesfunc5(A, B, C, D) & r1_xboole_0(E, F))  => k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, k6_prob_1(A, B, E, F)))=k3_supinf_2(k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, E)), k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t99_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ( (r1_mesfunc5(A, B, C, D) & F=k7_subset_1(A, k1_relset_1(A, D), E))  =>  (r1_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, E)) & k7_mesfunc5(A, B, C, D)=k3_supinf_2(k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, E)), k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t100_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (? [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) &  (E=k1_relset_1(A, D) & r1_mesfunc1(A, B, D, E)) ) )  =>  (r1_mesfunc5(A, B, C, D) <=> r1_mesfunc5(A, B, C, k9_mesfunc1(A, D))) ) ) ) ) ) ) ) ) ) ).
fof(t101_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (r1_mesfunc5(A, B, C, D) => r1_xxreal_0(k3_extreal1(k7_mesfunc5(A, B, C, D)), k7_mesfunc5(A, B, C, k9_mesfunc1(A, D)))) ) ) ) ) ) ) ) ) ).
fof(t102_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (k1_relset_1(A, D)=k1_relset_1(A, E) &  (r1_mesfunc5(A, B, C, E) &  (! [F] :  (m1_subset_1(F, A) =>  (r2_tarski(F, k1_relset_1(A, D)) => r1_xxreal_0(k3_extreal1(k12_supinf_2(D, F)), k12_supinf_2(E, F))) ) ) ) )  =>  ( (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ~ ( (F=k1_relset_1(A, D) & r1_mesfunc1(A, B, D, F)) ) ) )  |  (r1_mesfunc5(A, B, C, D) & r1_xxreal_0(k7_mesfunc5(A, B, C, k9_mesfunc1(A, D)), k7_mesfunc5(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t103_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (v1_xreal_0(E) =>  ( (r2_tarski(k1_relset_1(A, D), B) &  (r1_xxreal_0(k5_numbers, E) &  (! [F] :  (r2_hidden(F, k1_relset_1(A, D)) => k1_funct_1(D, F)=E) ) ) )  =>  (k1_relset_1(A, D)=k1_xboole_0 | k1_mesfunc3(A, B, C, D)=k4_xxreal_3(E, k12_supinf_2(C, k1_relset_1(A, D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t104_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (v1_xreal_0(E) =>  ( (r2_tarski(k1_relset_1(A, D), B) &  (r1_xxreal_0(k5_numbers, E) &  (! [F] :  (r2_hidden(F, k1_relset_1(A, D)) => k1_funct_1(D, F)=E) ) ) )  => k5_mesfunc5(A, B, C, D)=k4_xxreal_3(E, k12_supinf_2(C, k1_relset_1(A, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t105_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (r1_mesfunc5(A, B, C, D) =>  (r2_tarski(k8_relset_1(A, k6_numbers, D, k1_tarski(k1_supinf_1)), B) &  (r2_tarski(k8_relset_1(A, k6_numbers, D, k1_tarski(k2_supinf_1)), B) &  (k12_supinf_2(C, k8_relset_1(A, k6_numbers, D, k1_tarski(k1_supinf_1)))=k5_numbers &  (k12_supinf_2(C, k8_relset_1(A, k6_numbers, D, k1_tarski(k2_supinf_1)))=k5_numbers &  (r2_tarski(k4_subset_1(A, k8_relset_1(A, k6_numbers, D, k1_tarski(k1_supinf_1)), k8_relset_1(A, k6_numbers, D, k1_tarski(k2_supinf_1))), B) & k12_supinf_2(C, k4_subset_1(A, k8_relset_1(A, k6_numbers, D, k1_tarski(k1_supinf_1)), k8_relset_1(A, k6_numbers, D, k1_tarski(k2_supinf_1))))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t106_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (r1_mesfunc5(A, B, C, D) &  (r1_mesfunc5(A, B, C, E) &  (v6_supinf_2(D) & v6_supinf_2(E)) ) )  => r1_mesfunc5(A, B, C, k3_mesfunc1(A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t107_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (r1_mesfunc5(A, B, C, D) & r1_mesfunc5(A, B, C, E))  => r2_tarski(k1_relset_1(A, k3_mesfunc1(A, D, E)), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t108_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (r1_mesfunc5(A, B, C, D) & r1_mesfunc5(A, B, C, E))  => r1_mesfunc5(A, B, C, k3_mesfunc1(A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t109_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ~ ( (r1_mesfunc5(A, B, C, D) &  (r1_mesfunc5(A, B, C, E) &  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ~ ( (F=k9_subset_1(A, k1_relset_1(A, D), k1_relset_1(A, E)) & k7_mesfunc5(A, B, C, k3_mesfunc1(A, D, E))=k3_supinf_2(k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, F)), k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t110_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (v1_xreal_0(E) =>  (r1_mesfunc5(A, B, C, D) =>  (r1_mesfunc5(A, B, C, k6_mesfunc1(A, D, E)) & k7_mesfunc5(A, B, C, k6_mesfunc1(A, D, E))=k4_xxreal_3(E, k7_mesfunc5(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) => k8_mesfunc5(A, B, C, D, E)=k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t111_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ( (r1_mesfunc5(A, B, C, D) &  (r1_mesfunc5(A, B, C, E) & r1_tarski(F, k1_relset_1(A, k3_mesfunc1(A, D, E)))) )  =>  (r1_mesfunc5(A, B, C, k3_mesfunc1(A, D, E)) & k8_mesfunc5(A, B, C, k3_mesfunc1(A, D, E), F)=k3_supinf_2(k8_mesfunc5(A, B, C, D, F), k8_mesfunc5(A, B, C, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t112_mesfunc5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  (r1_mesfunc5(A, B, C, D) =>  (r1_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, F)) & k8_mesfunc5(A, B, C, k6_mesfunc1(A, D, E), F)=k4_xxreal_3(E, k8_mesfunc5(A, B, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(redefinition_v5_mesfunc5, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  (v5_mesfunc5(B, A) <=> v3_mesfunc5(B)) ) ) ).
fof(redefinition_v6_mesfunc5, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  (v6_mesfunc5(B, A) <=> v4_mesfunc5(B)) ) ) ).
fof(dt_k1_mesfunc5, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_funct_1(k1_mesfunc5(A, B)) & m1_subset_1(k1_mesfunc5(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ).
fof(dt_k2_mesfunc5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  => m1_subset_1(k2_mesfunc5(A), k6_numbers)) ) ).
fof(dt_k3_mesfunc5, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  & m1_subset_1(C, A)) )  =>  (v1_funct_1(k3_mesfunc5(A, B, C)) &  (v1_funct_2(k3_mesfunc5(A, B, C), k4_ordinal1, k6_numbers) & m1_subset_1(k3_mesfunc5(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) ) ) ) ).
fof(dt_k4_mesfunc5, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k3_rfunct_3(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k3_rfunct_3(A, B))))) )  & v7_ordinal1(D))  =>  (v1_funct_1(k4_mesfunc5(A, B, C, D)) & m1_subset_1(k4_mesfunc5(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ).
fof(redefinition_k4_mesfunc5, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k3_rfunct_3(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k3_rfunct_3(A, B))))) )  & v7_ordinal1(D))  => k4_mesfunc5(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(dt_k5_mesfunc5, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) )  => m1_subset_1(k5_mesfunc5(A, B, C, D), k6_numbers)) ) ).
fof(dt_k6_mesfunc5, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) )  => m1_subset_1(k6_mesfunc5(A, B, C, D), k6_numbers)) ) ).
fof(dt_k7_mesfunc5, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) )  => m1_subset_1(k7_mesfunc5(A, B, C, D), k6_numbers)) ) ).
fof(dt_k8_mesfunc5, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  &  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  & m1_subset_1(E, B)) ) ) )  => m1_subset_1(k8_mesfunc5(A, B, C, D, E), k6_numbers)) ) ).
fof(t1_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  => r2_relset_1(A, k6_numbers, k9_mesfunc1(A, k1_mesfunc5(A, B)), k1_mesfunc5(A, k56_valued_1(A, k1_numbers, B)))) ) ) ) ).
fof(t2_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (v1_xreal_0(E) =>  ( (r2_tarski(k1_relset_1(A, D), B) &  (! [F] :  (r2_hidden(F, k1_relset_1(A, D)) => k1_funct_1(D, F)=E) ) )  => r1_mesfunc2(A, B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (r2_tarski(D, k10_mesfunc1(B, C)) <=>  (r2_tarski(D, k1_relset_1(A, B)) &  (? [E] :  (v1_xreal_0(E) &  (E=k12_supinf_2(B, D) &  ~ (r1_xxreal_0(C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (r2_tarski(D, k11_mesfunc1(B, C)) <=>  (r2_tarski(D, k1_relset_1(A, B)) &  (? [E] :  (v1_xreal_0(E) &  (E=k12_supinf_2(B, D) & r1_xxreal_0(E, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (r2_tarski(D, k12_mesfunc1(B, C)) <=>  (r2_tarski(D, k1_relset_1(A, B)) &  (? [E] :  (v1_xreal_0(E) &  (E=k12_supinf_2(B, D) &  ~ (r1_xxreal_0(E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (r2_tarski(D, k13_mesfunc1(B, C)) <=>  (r2_tarski(D, k1_relset_1(A, B)) &  (? [E] :  (v1_xreal_0(E) &  (E=k12_supinf_2(B, D) & r1_xxreal_0(C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (r2_tarski(D, k10_relat_1(B, C)) <=>  (r2_tarski(D, k1_relset_1(A, B)) &  (? [E] :  (v1_xreal_0(E) &  (E=k12_supinf_2(B, D) & C=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, C)))) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [F] :  (v1_xreal_0(F) =>  ( (! [G] :  (v7_ordinal1(G) => k1_funct_1(D, G)=k3_xboole_0(B, k12_mesfunc1(E, k6_xcmplx_0(F, k2_extreal1(1, k1_nat_1(G, 1)))))) )  => k3_xboole_0(B, k13_mesfunc1(E, F))=k6_setfam_1(A, k4_measure1(A, C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, C)))) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [F] :  (v1_xreal_0(F) =>  ( (! [G] :  (v7_ordinal1(G) => k1_funct_1(D, G)=k3_xboole_0(B, k10_mesfunc1(E, k2_xcmplx_0(F, k2_extreal1(1, k1_nat_1(G, 1)))))) )  => k3_xboole_0(B, k11_mesfunc1(E, F))=k6_setfam_1(A, k4_measure1(A, C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, C)))) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [F] :  (v1_xreal_0(F) =>  ( (! [G] :  (v7_ordinal1(G) => k1_funct_1(D, G)=k3_xboole_0(B, k11_mesfunc1(E, k6_xcmplx_0(F, k2_extreal1(1, k1_nat_1(G, 1)))))) )  => k3_xboole_0(B, k10_mesfunc1(E, F))=k5_setfam_1(A, k4_measure1(A, C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, C)))) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [F] :  (v1_xreal_0(F) =>  ( (! [G] :  (v7_ordinal1(G) => k1_funct_1(D, G)=k3_xboole_0(B, k13_mesfunc1(E, k2_xcmplx_0(F, k2_extreal1(1, k1_nat_1(G, 1)))))) )  => k3_xboole_0(B, k12_mesfunc1(E, F))=k5_setfam_1(A, k4_measure1(A, C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (r1_mesfunc6(A, B, C, D) <=> r1_mesfunc1(A, B, k1_mesfunc5(A, C), D)) ) ) ) ) ) ) ) ) ).
fof(t12_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (r1_mesfunc6(A, B, C, D) <=>  (! [E] :  (v1_xreal_0(E) => r2_tarski(k8_subset_1(A, D, k10_mesfunc1(C, E)), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (r1_tarski(D, k1_relset_1(A, C)) =>  (r1_mesfunc6(A, B, C, D) <=>  (! [E] :  (v1_xreal_0(E) => r2_tarski(k8_subset_1(A, D, k13_mesfunc1(C, E)), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (r1_mesfunc6(A, B, C, D) <=>  (! [E] :  (v1_xreal_0(E) => r2_tarski(k8_subset_1(A, D, k11_mesfunc1(C, E)), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (r1_tarski(D, k1_relset_1(A, C)) =>  (r1_mesfunc6(A, B, C, D) <=>  (! [E] :  (v1_xreal_0(E) => r2_tarski(k8_subset_1(A, D, k12_mesfunc1(C, E)), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  ( (r1_tarski(E, D) & r1_mesfunc6(A, B, C, D))  => r1_mesfunc6(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  ( (r1_mesfunc6(A, B, C, D) & r1_mesfunc6(A, B, C, E))  => r1_mesfunc6(A, B, C, k6_prob_1(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (r1_mesfunc6(A, B, C, D) & r1_tarski(D, k1_relset_1(A, C)))  => r2_tarski(k8_subset_1(A, k8_subset_1(A, D, k12_mesfunc1(C, E)), k10_mesfunc1(C, F)), B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (! [F] :  (v1_xreal_0(F) =>  ( (r1_mesfunc6(A, B, C, E) &  (r1_mesfunc6(A, B, D, E) & r1_tarski(E, k1_relset_1(A, D))) )  => r2_tarski(k8_subset_1(A, k8_subset_1(A, E, k10_mesfunc1(C, F)), k12_mesfunc1(D, F)), B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) => r2_relset_1(A, k6_numbers, k1_mesfunc5(A, k26_valued_1(A, k1_numbers, B, C)), k6_mesfunc1(A, k1_mesfunc5(A, B), C))) ) ) ) ) ) ).
fof(t21_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (v1_xreal_0(E) =>  ( (r1_mesfunc6(A, B, C, D) & r1_tarski(D, k1_relset_1(A, C)))  => r1_mesfunc6(A, B, k26_valued_1(A, k1_numbers, C, E), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  => v3_valued_0(k1_mesfunc5(A, B))) ) ) ) ).
fof(t23_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (r2_relset_1(A, k6_numbers, k1_mesfunc5(A, k3_valued_1(A, k1_numbers, k1_numbers, B, C)), k3_mesfunc1(A, k1_mesfunc5(A, B), k1_mesfunc5(A, C))) &  (r2_relset_1(A, k6_numbers, k1_mesfunc5(A, k47_valued_1(A, k1_numbers, k1_numbers, B, C)), k4_mesfunc1(A, k1_mesfunc5(A, B), k1_mesfunc5(A, C))) &  (k1_relset_1(A, k1_mesfunc5(A, k3_valued_1(A, k1_numbers, k1_numbers, B, C)))=k9_subset_1(A, k1_relset_1(A, k1_mesfunc5(A, B)), k1_relset_1(A, k1_mesfunc5(A, C))) &  (k1_relset_1(A, k1_mesfunc5(A, k47_valued_1(A, k1_numbers, k1_numbers, B, C)))=k9_subset_1(A, k1_relset_1(A, k1_mesfunc5(A, B)), k1_relset_1(A, k1_mesfunc5(A, C))) &  (k1_relset_1(A, k1_mesfunc5(A, k3_valued_1(A, k1_numbers, k1_numbers, B, C)))=k9_subset_1(A, k1_relset_1(A, B), k1_relset_1(A, C)) & k1_relset_1(A, k1_mesfunc5(A, k47_valued_1(A, k1_numbers, k1_numbers, B, C)))=k9_subset_1(A, k1_relset_1(A, B), k1_relset_1(A, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k3_numbers, B) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k3_numbers, B)))) )  =>  ( (! [H] :  (v1_rat_1(H) => k1_funct_1(G, H)=k9_subset_1(A, k8_subset_1(A, E, k10_mesfunc1(C, H)), k8_subset_1(A, E, k10_mesfunc1(D, k6_xcmplx_0(F, H))))) )  => k8_subset_1(A, E, k10_mesfunc1(k3_valued_1(A, k1_numbers, k1_numbers, C, D), F))=k3_tarski(k2_relset_1(B, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( (r1_mesfunc6(A, B, C, E) &  (r1_mesfunc6(A, B, D, E) &  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k3_numbers, B) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k3_numbers, B)))) )  =>  ~ ( (! [H] :  (v1_rat_1(H) => k1_funct_1(G, H)=k9_subset_1(A, k8_subset_1(A, E, k10_mesfunc1(C, H)), k8_subset_1(A, E, k10_mesfunc1(D, k6_xcmplx_0(F, H))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  ( (r1_mesfunc6(A, B, C, E) & r1_mesfunc6(A, B, D, E))  => r1_mesfunc6(A, B, k3_valued_1(A, k1_numbers, k1_numbers, C, D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  => r2_relset_1(A, k6_numbers, k4_mesfunc1(A, k1_mesfunc5(A, B), k1_mesfunc5(A, C)), k3_mesfunc1(A, k1_mesfunc5(A, B), k1_mesfunc5(A, k32_valued_1(A, k1_numbers, C))))) ) ) ) ) ) ).
fof(t28_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (r2_relset_1(A, k6_numbers, k7_mesfunc1(A, k1_mesfunc5(A, B)), k1_mesfunc5(A, k26_valued_1(A, k1_numbers, B, k4_xcmplx_0(1)))) & r2_relset_1(A, k6_numbers, k7_mesfunc1(A, k1_mesfunc5(A, B)), k1_mesfunc5(A, k32_valued_1(A, k1_numbers, B)))) ) ) ) ) ).
fof(t29_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  ( (r1_mesfunc6(A, B, C, E) &  (r1_mesfunc6(A, B, D, E) & r1_tarski(E, k1_relset_1(A, D))) )  => r1_mesfunc6(A, B, k47_valued_1(A, k1_numbers, k1_numbers, C, D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (k1_mesfunc2(A, k1_mesfunc5(A, B))=k18_rfunct_3(A, B) & k2_mesfunc2(A, k1_mesfunc5(A, B))=k19_rfunct_3(A, B)) ) ) ) ) ).
fof(t31_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (m1_subset_1(C, A) => r1_xxreal_0(k5_numbers, k12_supinf_2(k18_rfunct_3(A, B), C))) ) ) ) ) ) ).
fof(t32_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (m1_subset_1(C, A) => r1_xxreal_0(k5_numbers, k12_supinf_2(k19_rfunct_3(A, B), C))) ) ) ) ) ) ).
fof(t33_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  => r2_relset_1(A, k1_numbers, k19_rfunct_3(A, B), k18_rfunct_3(A, k32_valued_1(A, k1_numbers, B)))) ) ) ) ).
fof(t34_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (r2_tarski(C, k1_relset_1(A, B)) =>  (r1_xxreal_0(k12_supinf_2(k18_rfunct_3(A, B), C), k5_numbers) | k12_supinf_2(k19_rfunct_3(A, B), C)=k5_numbers) ) ) ) ) ) ) ).
fof(t35_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (r2_tarski(C, k1_relset_1(A, B)) =>  (r1_xxreal_0(k12_supinf_2(k19_rfunct_3(A, B), C), k5_numbers) | k12_supinf_2(k18_rfunct_3(A, B), C)=k5_numbers) ) ) ) ) ) ) ).
fof(t36_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (k1_relset_1(A, B)=k1_relset_1(A, k47_valued_1(A, k1_numbers, k1_numbers, k18_rfunct_3(A, B), k19_rfunct_3(A, B))) & k1_relset_1(A, B)=k1_relset_1(A, k3_valued_1(A, k1_numbers, k1_numbers, k18_rfunct_3(A, B), k19_rfunct_3(A, B)))) ) ) ) ) ).
fof(t37_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (r2_tarski(C, k1_relset_1(A, B)) =>  ( (k12_supinf_2(k18_rfunct_3(A, B), C)=k12_supinf_2(B, C) | k12_supinf_2(k18_rfunct_3(A, B), C)=k5_numbers)  &  (k12_supinf_2(k19_rfunct_3(A, B), C)=k2_supinf_2(k12_supinf_2(B, C)) | k12_supinf_2(k19_rfunct_3(A, B), C)=k5_numbers) ) ) ) ) ) ) ) ).
fof(t38_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  ( (r2_tarski(C, k1_relset_1(A, B)) & k12_supinf_2(k18_rfunct_3(A, B), C)=k12_supinf_2(B, C))  => k12_supinf_2(k19_rfunct_3(A, B), C)=k5_numbers) ) ) ) ) ) ).
fof(t39_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  ( (r2_tarski(C, k1_relset_1(A, B)) & k12_supinf_2(k18_rfunct_3(A, B), C)=k5_numbers)  => k12_supinf_2(k19_rfunct_3(A, B), C)=k2_supinf_2(k12_supinf_2(B, C))) ) ) ) ) ) ).
fof(t40_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  ( (r2_tarski(C, k1_relset_1(A, B)) & k12_supinf_2(k19_rfunct_3(A, B), C)=k2_supinf_2(k12_supinf_2(B, C)))  => k12_supinf_2(k18_rfunct_3(A, B), C)=k5_numbers) ) ) ) ) ) ).
fof(t41_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  ( (r2_tarski(C, k1_relset_1(A, B)) & k12_supinf_2(k19_rfunct_3(A, B), C)=k5_numbers)  => k12_supinf_2(k18_rfunct_3(A, B), C)=k12_supinf_2(B, C)) ) ) ) ) ) ).
fof(t42_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  => r2_relset_1(A, k1_numbers, B, k47_valued_1(A, k1_numbers, k1_numbers, k18_rfunct_3(A, B), k19_rfunct_3(A, B)))) ) ) ) ).
fof(t43_mesfunc6, axiom,  (! [A] :  (v1_xreal_0(A) => k9_complex1(A)=k3_extreal1(A)) ) ).
fof(t44_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  => r2_relset_1(A, k6_numbers, k1_mesfunc5(A, k56_valued_1(A, k1_numbers, B)), k9_mesfunc1(A, k1_mesfunc5(A, B)))) ) ) ) ).
fof(t45_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  => r2_relset_1(A, k1_numbers, k56_valued_1(A, k1_numbers, B), k3_valued_1(A, k1_numbers, k1_numbers, k18_rfunct_3(A, B), k19_rfunct_3(A, B)))) ) ) ) ).
fof(t46_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (r1_mesfunc6(A, B, C, D) => r1_mesfunc6(A, B, k18_rfunct_3(A, C), D)) ) ) ) ) ) ) ) ) ).
fof(t47_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  ( (r1_mesfunc6(A, B, C, D) & r1_tarski(D, k1_relset_1(A, C)))  => r1_mesfunc6(A, B, k19_rfunct_3(A, C), D)) ) ) ) ) ) ) ) ) ).
fof(t48_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  ( (r1_mesfunc6(A, B, C, D) & r1_tarski(D, k1_relset_1(A, C)))  => r1_mesfunc6(A, B, k56_valued_1(A, k1_numbers, C), D)) ) ) ) ) ) ) ) ) ).
fof(d2_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (r2_mesfunc6(A, B, C) <=>  (? [D] :  ( (v1_prob_2(D) & m2_finseq_1(D, B))  &  (k1_relset_1(A, C)=k3_tarski(k2_relset_1(B, D)) &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) =>  ( (r2_tarski(E, k4_finseq_1(D)) &  (r2_tarski(F, k1_funct_1(D, E)) & r2_tarski(G, k1_funct_1(D, E))) )  => k12_supinf_2(C, F)=k12_supinf_2(C, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (r2_mesfunc6(A, B, C) <=> r1_mesfunc2(A, B, k1_mesfunc5(A, C))) ) ) ) ) ) ) ).
fof(t50_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (r2_mesfunc6(A, B, C) => r1_mesfunc6(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t51_mesfunc6, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (v6_supinf_2(B) <=>  (! [C] : r1_xxreal_0(k5_numbers, k1_funct_1(B, C))) ) ) ) ) ).
fof(t52_mesfunc6, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (! [C] :  (r2_hidden(C, k1_relset_1(A, B)) => r1_xxreal_0(k5_numbers, k1_funct_1(B, C))) )  => v6_supinf_2(B)) ) ) ) ).
fof(t53_mesfunc6, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (v2_mesfunc5(B) <=>  (! [C] : r1_xxreal_0(k12_supinf_2(B, C), k5_numbers)) ) ) ) ) ).
fof(t54_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (! [C] :  (r2_hidden(C, k1_relset_1(A, B)) => r1_xxreal_0(k1_funct_1(B, C), k5_numbers)) )  => v2_mesfunc5(B)) ) ) ) ) ).
fof(t55_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (v6_supinf_2(C) => v6_supinf_2(k2_partfun1(A, k1_numbers, C, B))) ) ) ) ) ) ).
fof(t56_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (v6_supinf_2(B) & v6_supinf_2(C))  => v6_supinf_2(k3_valued_1(A, k1_numbers, k1_numbers, B, C))) ) ) ) ) ) ) ).
fof(t57_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  (v6_supinf_2(B) =>  ( (r1_xxreal_0(k5_numbers, C) => v6_supinf_2(k26_valued_1(A, k1_numbers, B, C)))  &  (r1_xxreal_0(C, k5_numbers) => v2_mesfunc5(k26_valued_1(A, k1_numbers, B, C))) ) ) ) ) ) ) ) ) ).
fof(t58_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (! [D] :  (r2_tarski(D, k9_subset_1(A, k1_relset_1(A, B), k1_relset_1(A, C))) => r1_xxreal_0(k12_supinf_2(C, D), k12_supinf_2(B, D))) )  => v6_supinf_2(k47_valued_1(A, k1_numbers, k1_numbers, B, C))) ) ) ) ) ) ) ).
fof(t59_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (v6_supinf_2(B) &  (v6_supinf_2(C) & v6_supinf_2(D)) )  => v6_supinf_2(k3_valued_1(A, k1_numbers, k1_numbers, k3_valued_1(A, k1_numbers, k1_numbers, B, C), D))) ) ) ) ) ) ) ) ) ).
fof(t60_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  (r2_hidden(E, k1_relset_1(A, k3_valued_1(A, k1_numbers, k1_numbers, k3_valued_1(A, k1_numbers, k1_numbers, B, C), D))) => k1_funct_1(k3_valued_1(A, k1_numbers, k1_numbers, k3_valued_1(A, k1_numbers, k1_numbers, B, C), D), E)=k2_xcmplx_0(k2_xcmplx_0(k1_funct_1(B, E), k1_funct_1(C, E)), k1_funct_1(D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t61_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (v6_supinf_2(k18_rfunct_3(A, B)) & v6_supinf_2(k19_rfunct_3(A, B))) ) ) ) ) ).
fof(t62_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (k1_relset_1(A, k3_valued_1(A, k1_numbers, k1_numbers, k18_rfunct_3(A, k3_valued_1(A, k1_numbers, k1_numbers, B, C)), k19_rfunct_3(A, B)))=k9_subset_1(A, k1_relset_1(A, B), k1_relset_1(A, C)) &  (k1_relset_1(A, k3_valued_1(A, k1_numbers, k1_numbers, k19_rfunct_3(A, k3_valued_1(A, k1_numbers, k1_numbers, B, C)), k18_rfunct_3(A, B)))=k9_subset_1(A, k1_relset_1(A, B), k1_relset_1(A, C)) &  (k1_relset_1(A, k3_valued_1(A, k1_numbers, k1_numbers, k3_valued_1(A, k1_numbers, k1_numbers, k18_rfunct_3(A, k3_valued_1(A, k1_numbers, k1_numbers, B, C)), k19_rfunct_3(A, B)), k19_rfunct_3(A, C)))=k9_subset_1(A, k1_relset_1(A, B), k1_relset_1(A, C)) &  (k1_relset_1(A, k3_valued_1(A, k1_numbers, k1_numbers, k3_valued_1(A, k1_numbers, k1_numbers, k19_rfunct_3(A, k3_valued_1(A, k1_numbers, k1_numbers, B, C)), k18_rfunct_3(A, B)), k18_rfunct_3(A, C)))=k9_subset_1(A, k1_relset_1(A, B), k1_relset_1(A, C)) &  (v6_supinf_2(k3_valued_1(A, k1_numbers, k1_numbers, k18_rfunct_3(A, k3_valued_1(A, k1_numbers, k1_numbers, B, C)), k19_rfunct_3(A, B))) & v6_supinf_2(k3_valued_1(A, k1_numbers, k1_numbers, k19_rfunct_3(A, k3_valued_1(A, k1_numbers, k1_numbers, B, C)), k18_rfunct_3(A, B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  => r2_relset_1(A, k1_numbers, k3_valued_1(A, k1_numbers, k1_numbers, k3_valued_1(A, k1_numbers, k1_numbers, k18_rfunct_3(A, k3_valued_1(A, k1_numbers, k1_numbers, B, C)), k19_rfunct_3(A, B)), k19_rfunct_3(A, C)), k3_valued_1(A, k1_numbers, k1_numbers, k3_valued_1(A, k1_numbers, k1_numbers, k19_rfunct_3(A, k3_valued_1(A, k1_numbers, k1_numbers, B, C)), k18_rfunct_3(A, B)), k18_rfunct_3(A, C)))) ) ) ) ) ) ).
fof(t64_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  (r1_xxreal_0(k5_numbers, C) =>  (r2_relset_1(A, k1_numbers, k18_rfunct_3(A, k26_valued_1(A, k1_numbers, B, C)), k26_valued_1(A, k1_numbers, k18_rfunct_3(A, B), C)) & r2_relset_1(A, k1_numbers, k19_rfunct_3(A, k26_valued_1(A, k1_numbers, B, C)), k26_valued_1(A, k1_numbers, k19_rfunct_3(A, B), C))) ) ) ) ) ) ) ) ).
fof(t65_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  (r1_xxreal_0(k5_numbers, C) =>  (r2_relset_1(A, k1_numbers, k18_rfunct_3(A, k26_valued_1(A, k1_numbers, B, k4_xcmplx_0(C))), k26_valued_1(A, k1_numbers, k19_rfunct_3(A, B), C)) & r2_relset_1(A, k1_numbers, k19_rfunct_3(A, k26_valued_1(A, k1_numbers, B, k4_xcmplx_0(C))), k26_valued_1(A, k1_numbers, k18_rfunct_3(A, B), C))) ) ) ) ) ) ) ) ).
fof(t66_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (r2_relset_1(A, k1_numbers, k18_rfunct_3(A, k2_partfun1(A, k1_numbers, C, B)), k2_partfun1(A, k1_numbers, k18_rfunct_3(A, C), B)) & r2_relset_1(A, k1_numbers, k19_rfunct_3(A, k2_partfun1(A, k1_numbers, C, B)), k2_partfun1(A, k1_numbers, k19_rfunct_3(A, C), B))) ) ) ) ) ) ).
fof(t67_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (r1_tarski(B, k1_relset_1(A, k3_valued_1(A, k1_numbers, k1_numbers, C, D))) =>  (k1_relset_1(A, k2_partfun1(A, k1_numbers, k3_valued_1(A, k1_numbers, k1_numbers, C, D), B))=B &  (k1_relset_1(A, k3_valued_1(A, k1_numbers, k1_numbers, k2_partfun1(A, k1_numbers, C, B), k2_partfun1(A, k1_numbers, D, B)))=B & r2_relset_1(A, k1_numbers, k2_partfun1(A, k1_numbers, k3_valued_1(A, k1_numbers, k1_numbers, C, D), B), k3_valued_1(A, k1_numbers, k1_numbers, k2_partfun1(A, k1_numbers, C, B), k2_partfun1(A, k1_numbers, D, B)))) ) ) ) ) ) ) ) ) ) ).
fof(t68_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) => k10_relat_1(B, C)=k8_relset_1(A, k1_numbers, B, k1_tarski(C))) ) ) ) ) ) ).
fof(t69_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (r1_mesfunc6(A, B, C, D) & r1_tarski(D, k1_relset_1(A, C)))  => r2_tarski(k8_subset_1(A, k8_subset_1(A, D, k13_mesfunc1(C, E)), k10_mesfunc1(C, F)), B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (r2_mesfunc6(A, B, C) => r2_mesfunc6(A, B, k2_partfun1(A, k1_numbers, C, D))) ) ) ) ) ) ) ) ) ).
fof(t71_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (r2_mesfunc6(A, B, C) => m2_subset_1(k1_relset_1(A, C), k1_zfmisc_1(A), B)) ) ) ) ) ) ) ).
fof(t72_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (r2_mesfunc6(A, B, C) & r2_mesfunc6(A, B, D))  => r2_mesfunc6(A, B, k3_valued_1(A, k1_numbers, k1_numbers, C, D))) ) ) ) ) ) ) ) ) ).
fof(t73_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  (v1_xreal_0(D) =>  (r2_mesfunc6(A, B, C) => r2_mesfunc6(A, B, k26_valued_1(A, k1_numbers, C, D))) ) ) ) ) ) ) ) ) ).
fof(t74_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (! [D] :  (r2_tarski(D, k1_relset_1(A, k47_valued_1(A, k1_numbers, k1_numbers, B, C))) => r1_xxreal_0(k12_supinf_2(C, D), k12_supinf_2(B, D))) )  => v6_supinf_2(k47_valued_1(A, k1_numbers, k1_numbers, B, C))) ) ) ) ) ) ) ).
fof(t75_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(A), B) =>  (! [D] :  (v1_xreal_0(D) =>  (? [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  &  (r2_mesfunc6(A, B, E) &  (k1_relset_1(A, E)=C &  (! [F] :  (r2_hidden(F, C) => k1_funct_1(E, F)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t76_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  ( (r1_mesfunc6(A, B, C, E) & D=k9_subset_1(A, k1_relset_1(A, C), E))  => r1_mesfunc6(A, B, k2_partfun1(A, k1_numbers, C, E), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t77_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  ( (r1_tarski(E, k1_relset_1(A, C)) &  (r1_mesfunc6(A, B, C, E) & r1_mesfunc6(A, B, D, E)) )  => r1_mesfunc6(A, B, k3_valued_1(A, k1_numbers, k1_numbers, k18_rfunct_3(A, k3_valued_1(A, k1_numbers, k1_numbers, C, D)), k19_rfunct_3(A, C)), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t78_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  ( (r1_tarski(E, k9_subset_1(A, k1_relset_1(A, C), k1_relset_1(A, D))) &  (r1_mesfunc6(A, B, C, E) & r1_mesfunc6(A, B, D, E)) )  => r1_mesfunc6(A, B, k3_valued_1(A, k1_numbers, k1_numbers, k19_rfunct_3(A, k3_valued_1(A, k1_numbers, k1_numbers, C, D)), k18_rfunct_3(A, C)), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t79_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (r2_tarski(k1_relset_1(A, C), B) & r2_tarski(k1_relset_1(A, D), B))  => r2_tarski(k1_relset_1(A, k3_valued_1(A, k1_numbers, k1_numbers, C, D)), B)) ) ) ) ) ) ) ) ) ).
fof(t80_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (k1_relset_1(A, C)=D =>  (r1_mesfunc6(A, B, C, E) <=> r1_mesfunc6(A, B, C, k5_prob_1(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t81_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (? [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) & k1_relset_1(A, C)=D) )  =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (r1_mesfunc6(A, B, C, E) => r1_mesfunc6(A, B, k26_valued_1(A, k1_numbers, C, D), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  => k1_mesfunc6(A, B, C, D)=k7_mesfunc5(A, B, C, k1_mesfunc5(A, D))) ) ) ) ) ) ) ) ).
fof(t82_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (v6_supinf_2(D) =>  ( (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  ~ ( (E=k1_relset_1(A, D) & r1_mesfunc6(A, B, D, E)) ) ) )  | k1_mesfunc6(A, B, C, D)=k6_mesfunc5(A, B, C, k1_mesfunc5(A, D))) ) ) ) ) ) ) ) ) ) ).
fof(t83_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (r2_mesfunc6(A, B, D) & v6_supinf_2(D))  =>  (k1_mesfunc6(A, B, C, D)=k6_mesfunc5(A, B, C, k1_mesfunc5(A, D)) & k1_mesfunc6(A, B, C, D)=k5_mesfunc5(A, B, C, k1_mesfunc5(A, D))) ) ) ) ) ) ) ) ) ) ).
fof(t84_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (v6_supinf_2(D) =>  ( (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  ~ ( (E=k1_relset_1(A, D) & r1_mesfunc6(A, B, D, E)) ) ) )  | r1_xxreal_0(k5_numbers, k1_mesfunc6(A, B, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t85_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ( (v6_supinf_2(D) & r1_xboole_0(E, F))  =>  ( (! [G] :  (m2_subset_1(G, k1_zfmisc_1(A), B) =>  ~ ( (G=k1_relset_1(A, D) & r1_mesfunc6(A, B, D, G)) ) ) )  | k1_mesfunc6(A, B, C, k2_partfun1(A, k1_numbers, D, k6_prob_1(A, B, E, F)))=k3_supinf_2(k1_mesfunc6(A, B, C, k2_partfun1(A, k1_numbers, D, E)), k1_mesfunc6(A, B, C, k2_partfun1(A, k1_numbers, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t86_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (v6_supinf_2(D) =>  ( (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ~ ( (F=k1_relset_1(A, D) & r1_mesfunc6(A, B, D, F)) ) ) )  | r1_xxreal_0(k5_numbers, k1_mesfunc6(A, B, C, k2_partfun1(A, k1_numbers, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t87_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ( (v6_supinf_2(D) & r1_tarski(E, F))  =>  ( (! [G] :  (m2_subset_1(G, k1_zfmisc_1(A), B) =>  ~ ( (G=k1_relset_1(A, D) & r1_mesfunc6(A, B, D, G)) ) ) )  | r1_xxreal_0(k1_mesfunc6(A, B, C, k2_partfun1(A, k1_numbers, D, E)), k1_mesfunc6(A, B, C, k2_partfun1(A, k1_numbers, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t88_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (k3_funct_2(B, k6_numbers, C, E)=k5_numbers =>  ( (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ~ ( (F=k1_relset_1(A, D) & r1_mesfunc6(A, B, D, F)) ) ) )  | k1_mesfunc6(A, B, C, k2_partfun1(A, k1_numbers, D, E))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t89_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ( (E=k1_relset_1(A, D) &  (r1_mesfunc6(A, B, D, E) & k3_funct_2(B, k6_numbers, C, F)=k5_numbers) )  => k1_mesfunc6(A, B, C, k2_partfun1(A, k1_numbers, D, k7_prob_1(A, B, E, F)))=k1_mesfunc6(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (r3_mesfunc6(A, B, C, D) <=> r1_mesfunc5(A, B, C, k1_mesfunc5(A, D))) ) ) ) ) ) ) ) ) ).
fof(t90_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (r3_mesfunc6(A, B, C, D) =>  ( ~ (r1_xxreal_0(k1_mesfunc6(A, B, C, D), k2_supinf_1))  &  ~ (r1_xxreal_0(k1_supinf_1, k1_mesfunc6(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t91_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (r3_mesfunc6(A, B, C, D) => r3_mesfunc6(A, B, C, k2_partfun1(A, k1_numbers, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t92_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ( (r3_mesfunc6(A, B, C, D) & r1_xboole_0(E, F))  => k1_mesfunc6(A, B, C, k2_partfun1(A, k1_numbers, D, k6_prob_1(A, B, E, F)))=k3_supinf_2(k1_mesfunc6(A, B, C, k2_partfun1(A, k1_numbers, D, E)), k1_mesfunc6(A, B, C, k2_partfun1(A, k1_numbers, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t93_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ( (r3_mesfunc6(A, B, C, D) & F=k7_subset_1(A, k1_relset_1(A, D), E))  =>  (r3_mesfunc6(A, B, C, k2_partfun1(A, k1_numbers, D, E)) & k1_mesfunc6(A, B, C, D)=k3_supinf_2(k1_mesfunc6(A, B, C, k2_partfun1(A, k1_numbers, D, E)), k1_mesfunc6(A, B, C, k2_partfun1(A, k1_numbers, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t94_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (? [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) &  (E=k1_relset_1(A, D) & r1_mesfunc6(A, B, D, E)) ) )  =>  (r3_mesfunc6(A, B, C, D) <=> r3_mesfunc6(A, B, C, k56_valued_1(A, k1_numbers, D))) ) ) ) ) ) ) ) ) ) ).
fof(t95_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (r3_mesfunc6(A, B, C, D) => r1_xxreal_0(k3_extreal1(k1_mesfunc6(A, B, C, D)), k1_mesfunc6(A, B, C, k56_valued_1(A, k1_numbers, D)))) ) ) ) ) ) ) ) ) ).
fof(t96_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (k1_relset_1(A, D)=k1_relset_1(A, E) &  (r3_mesfunc6(A, B, C, E) &  (! [F] :  (m1_subset_1(F, A) =>  (r2_tarski(F, k1_relset_1(A, D)) => r1_xxreal_0(k9_complex1(k12_supinf_2(D, F)), k12_supinf_2(E, F))) ) ) ) )  =>  ( (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ~ ( (F=k1_relset_1(A, D) & r1_mesfunc6(A, B, D, F)) ) ) )  |  (r3_mesfunc6(A, B, C, D) & r1_xxreal_0(k1_mesfunc6(A, B, C, k56_valued_1(A, k1_numbers, D)), k1_mesfunc6(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t97_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  (v1_xreal_0(E) =>  ( (r2_tarski(k1_relset_1(A, D), B) &  (r1_xxreal_0(k5_numbers, E) &  (! [F] :  (r2_hidden(F, k1_relset_1(A, D)) => k1_funct_1(D, F)=E) ) ) )  => k1_mesfunc6(A, B, C, D)=k4_xxreal_3(E, k12_supinf_2(C, k1_relset_1(A, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t98_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (r3_mesfunc6(A, B, C, D) &  (r3_mesfunc6(A, B, C, E) &  (v6_supinf_2(D) & v6_supinf_2(E)) ) )  => r3_mesfunc6(A, B, C, k3_valued_1(A, k1_numbers, k1_numbers, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t99_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (r3_mesfunc6(A, B, C, D) & r3_mesfunc6(A, B, C, E))  => r2_tarski(k1_relset_1(A, k3_valued_1(A, k1_numbers, k1_numbers, D, E)), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t100_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (r3_mesfunc6(A, B, C, D) & r3_mesfunc6(A, B, C, E))  => r3_mesfunc6(A, B, C, k3_valued_1(A, k1_numbers, k1_numbers, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t101_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ~ ( (r3_mesfunc6(A, B, C, D) &  (r3_mesfunc6(A, B, C, E) &  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ~ ( (F=k9_subset_1(A, k1_relset_1(A, D), k1_relset_1(A, E)) & k1_mesfunc6(A, B, C, k3_valued_1(A, k1_numbers, k1_numbers, D, E))=k3_supinf_2(k1_mesfunc6(A, B, C, k2_partfun1(A, k1_numbers, D, F)), k1_mesfunc6(A, B, C, k2_partfun1(A, k1_numbers, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t102_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  (v1_xreal_0(E) =>  (r3_mesfunc6(A, B, C, D) =>  (r3_mesfunc6(A, B, C, k26_valued_1(A, k1_numbers, D, E)) & k1_mesfunc6(A, B, C, k26_valued_1(A, k1_numbers, D, E))=k4_xxreal_3(E, k1_mesfunc6(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) => k2_mesfunc6(A, B, C, D, E)=k1_mesfunc6(A, B, C, k2_partfun1(A, k1_numbers, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t103_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ( (r3_mesfunc6(A, B, C, D) &  (r3_mesfunc6(A, B, C, E) & r1_tarski(F, k1_relset_1(A, k3_valued_1(A, k1_numbers, k1_numbers, D, E)))) )  =>  (r3_mesfunc6(A, B, C, k3_valued_1(A, k1_numbers, k1_numbers, D, E)) & k2_mesfunc6(A, B, C, k3_valued_1(A, k1_numbers, k1_numbers, D, E), F)=k3_supinf_2(k2_mesfunc6(A, B, C, D, F), k2_mesfunc6(A, B, C, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t104_mesfunc6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  (r3_mesfunc6(A, B, C, D) =>  (r3_mesfunc6(A, B, C, k2_partfun1(A, k1_numbers, D, F)) & k2_mesfunc6(A, B, C, k26_valued_1(A, k1_numbers, D, E), F)=k4_xxreal_3(E, k2_mesfunc6(A, B, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_mesfunc6, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  => m1_subset_1(k1_mesfunc6(A, B, C, D), k6_numbers)) ) ).
fof(dt_k2_mesfunc6, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  &  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  & m1_subset_1(E, B)) ) ) )  => m1_subset_1(k2_mesfunc6(A, B, C, D, E), k6_numbers)) ) ).
fof(rc1_mesfunc7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k6_numbers) &  (v1_funct_1(B) &  (v2_valued_0(B) & v6_supinf_2(B)) ) ) ) ) ) ) ) ) ).
fof(fc1_mesfunc7, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) )  =>  (v1_funct_1(k9_mesfunc1(A, B)) & v6_supinf_2(k9_mesfunc1(A, B))) ) ) ).
fof(rc2_mesfunc7, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) & v2_valued_0(A)) ) ) ) ) ) ) ).
fof(fc2_mesfunc7, axiom,  (v1_funct_1(k1_mesfunc7) &  (v1_funct_2(k1_mesfunc7, k2_zfmisc_1(k6_numbers, k6_numbers), k6_numbers) &  (v1_binop_1(k1_mesfunc7, k6_numbers) & v2_binop_1(k1_mesfunc7, k6_numbers)) ) ) ).
fof(fc3_mesfunc7, axiom,  (v1_funct_1(k1_mesfunc7) &  (v1_funct_2(k1_mesfunc7, k2_zfmisc_1(k6_numbers, k6_numbers), k6_numbers) & v1_setwiseo(k1_mesfunc7, k6_numbers)) ) ).
fof(fc4_mesfunc7, axiom,  (! [A, B] :  ( (m1_subset_1(A, k6_numbers) & v7_ordinal1(B))  =>  (v1_relat_1(k2_finseq_2(B, A)) &  (v1_funct_1(k2_finseq_2(B, A)) &  (v1_finseq_1(k2_finseq_2(B, A)) & v2_valued_0(k2_finseq_2(B, A))) ) ) ) ) ).
fof(fc5_mesfunc7, axiom, v2_valued_0(k6_finseq_1(k6_numbers))).
fof(fc6_mesfunc7, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) => v2_valued_0(k5_finseq_1(A))) ) ).
fof(fc7_mesfunc7, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_valued_0(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v2_valued_0(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v1_finseq_1(k7_finseq_1(A, B)) & v2_valued_0(k7_finseq_1(A, B))) ) ) ) ) ).
fof(t1_mesfunc7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (! [D] :  (m1_subset_1(D, A) =>  (r2_tarski(D, k1_relset_1(A, B)) => r1_xxreal_0(k12_supinf_2(B, D), k12_supinf_2(C, D))) ) )  => v6_supinf_2(k4_mesfunc1(A, C, B))) ) ) ) ) ) ) ).
fof(t2_mesfunc7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [D] :  (v1_xreal_0(D) => k2_partfun1(A, k6_numbers, k6_mesfunc1(A, C, D), B)=k6_mesfunc1(A, k2_partfun1(A, k6_numbers, C, B), D)) ) ) ) ) ) ) ).
fof(t3_mesfunc7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ~ ( (r1_mesfunc5(A, B, C, D) &  (r1_mesfunc5(A, B, C, E) &  (v6_supinf_2(k4_mesfunc1(A, E, D)) &  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ~ ( (F=k9_subset_1(A, k1_relset_1(A, D), k1_relset_1(A, E)) & r1_xxreal_0(k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, F)), k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_mesfunc7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ~ ( (r1_mesfunc5(A, B, C, D) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  ~ ( ( (! [F] :  (m1_subset_1(F, k4_ordinal1) => k3_funct_2(k4_ordinal1, B, E, F)=k9_subset_1(A, k1_relset_1(A, D), k17_mesfunc1(A, k9_mesfunc1(A, D), k2_extreal1(1, k1_nat_1(F, 1))))) )  &  (k7_subset_1(A, k1_relset_1(A, D), k18_mesfunc1(A, D, k1_supinf_2))=k3_tarski(k10_xtuple_0(E)) &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r2_tarski(k3_funct_2(k4_ordinal1, B, E, F), B) &  ~ (r1_xxreal_0(k1_supinf_1, k12_supinf_2(C, k3_funct_2(k4_ordinal1, B, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_mesfunc7, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k6_numbers, k6_numbers), k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_numbers, k6_numbers), k6_numbers)))) )  =>  (A=k1_mesfunc7 <=>  (! [B] :  (m1_subset_1(B, k6_numbers) =>  (! [C] :  (m1_subset_1(C, k6_numbers) => k4_binop_1(k6_numbers, A, B, C)=k1_extreal1(B, C)) ) ) ) ) ) ) ).
fof(t5_mesfunc7, axiom, k3_binop_1(k6_numbers, k1_mesfunc7)=1).
fof(d2_mesfunc7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_valued_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k6_numbers) =>  (B=k2_mesfunc7(A) <=>  (? [C] :  (m2_finseq_1(C, k6_numbers) &  (C=A & B=k1_finsop_1(k6_numbers, C, k1_mesfunc7)) ) ) ) ) ) ) ) ).
fof(d3_mesfunc7, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) =>  (! [B] :  (v7_ordinal1(B) => k3_mesfunc7(A, B)=k2_mesfunc7(k5_finseq_2(k6_numbers, B, A))) ) ) ) ).
fof(t6_mesfunc7, axiom, k2_mesfunc7(k6_finseq_1(k6_numbers))=1).
fof(t7_mesfunc7, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) => k2_mesfunc7(k12_finseq_1(k6_numbers, A))=A) ) ).
fof(t8_mesfunc7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_valued_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k6_numbers) => k2_mesfunc7(k7_finseq_1(A, k12_finseq_1(k6_numbers, B)))=k1_extreal1(k2_mesfunc7(A), B)) ) ) ) ).
fof(t9_mesfunc7, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) => k4_mesfunc7(A, 1)=A) ) ).
fof(t10_mesfunc7, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) =>  (! [B] :  (v7_ordinal1(B) => k4_mesfunc7(A, k1_nat_1(B, 1))=k1_extreal1(k4_mesfunc7(A, B), A)) ) ) ) ).
fof(d4_mesfunc7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers))))  =>  (D=k5_mesfunc7(A, B, C) <=>  (k1_relset_1(B, D)=k1_relset_1(B, C) &  (! [E] :  (m1_subset_1(E, B) =>  (r2_tarski(E, k1_relset_1(B, D)) => k12_supinf_2(D, E)=k4_mesfunc7(k12_supinf_2(C, E), A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_mesfunc7, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  (A=B => k4_mesfunc7(A, C)=k1_newton(B, C)) ) ) ) ) ) ) ).
fof(t12_mesfunc7, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(k5_numbers, A) => r1_xxreal_0(k5_numbers, k4_mesfunc7(A, B))) ) ) ) ) ).
fof(t13_mesfunc7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) => k4_mesfunc7(k1_supinf_1, A)=k1_supinf_1) ) ) ).
fof(t14_mesfunc7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(B), C) =>  ( (r1_tarski(E, k1_relset_1(B, D)) & r1_mesfunc1(B, C, D, E))  => r1_mesfunc1(B, C, k5_mesfunc7(A, B, k9_mesfunc1(B, D)), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_mesfunc7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  ( (k9_subset_1(A, k1_relset_1(A, C), k1_relset_1(A, D))=E &  (v3_valued_0(C) &  (v3_valued_0(D) &  (r1_mesfunc1(A, B, C, E) & r1_mesfunc1(A, B, D, E)) ) ) )  => r1_mesfunc1(A, B, k5_mesfunc1(A, C, D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_mesfunc7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (v5_xxreal_2(k10_xtuple_0(B)) => v3_valued_0(B)) ) ) ) ) ).
fof(t17_mesfunc7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  (! [G] :  ( ( ~ (v1_xboole_0(G))  & m1_subset_1(G, k1_zfmisc_1(k6_numbers)))  =>  ( (k9_subset_1(A, k1_relset_1(A, D), k1_relset_1(A, E))=F &  (k10_xtuple_0(D)=G &  (v3_valued_0(E) &  (r1_mesfunc1(A, B, D, F) &  (v5_xxreal_2(k10_xtuple_0(D)) & r1_mesfunc5(A, B, C, E)) ) ) ) )  =>  (r1_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, k5_mesfunc1(A, D, E), F)) &  (? [H] :  (m1_subset_1(H, k1_numbers) &  (r1_xxreal_0(k7_supinf_2(G), H) &  (r1_xxreal_0(H, k8_supinf_2(G)) & k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, k5_mesfunc1(A, D, k9_mesfunc1(A, E)), F))=k4_xxreal_3(H, k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, k9_mesfunc1(A, E), F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_mesfunc7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] : k2_partfun1(A, k6_numbers, k9_mesfunc1(A, B), C)=k9_mesfunc1(A, k2_partfun1(A, k6_numbers, B, C))) ) ) ) ) ).
fof(t19_mesfunc7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (k1_relset_1(A, k3_mesfunc1(A, k9_mesfunc1(A, B), k9_mesfunc1(A, C)))=k9_subset_1(A, k1_relset_1(A, B), k1_relset_1(A, C)) & r1_tarski(k1_relset_1(A, k9_mesfunc1(A, k3_mesfunc1(A, B, C))), k1_relset_1(A, k9_mesfunc1(A, B)))) ) ) ) ) ) ) ).
fof(t20_mesfunc7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  => k3_mesfunc1(A, k2_partfun1(A, k6_numbers, k9_mesfunc1(A, B), k1_relset_1(A, k9_mesfunc1(A, k3_mesfunc1(A, B, C)))), k2_partfun1(A, k6_numbers, k9_mesfunc1(A, C), k1_relset_1(A, k9_mesfunc1(A, k3_mesfunc1(A, B, C)))))=k2_partfun1(A, k6_numbers, k3_mesfunc1(A, k9_mesfunc1(A, B), k9_mesfunc1(A, C)), k1_relset_1(A, k9_mesfunc1(A, k3_mesfunc1(A, B, C))))) ) ) ) ) ) ).
fof(t21_mesfunc7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [D] :  (r2_tarski(D, k1_relset_1(A, k9_mesfunc1(A, k3_mesfunc1(A, B, C)))) => r1_xxreal_0(k12_supinf_2(k9_mesfunc1(A, k3_mesfunc1(A, B, C)), D), k12_supinf_2(k3_mesfunc1(A, k9_mesfunc1(A, B), k9_mesfunc1(A, C)), D))) ) ) ) ) ) ) ) ).
fof(t22_mesfunc7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ~ ( (r1_mesfunc5(A, B, C, D) &  (r1_mesfunc5(A, B, C, E) &  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ~ ( (F=k1_relset_1(A, k3_mesfunc1(A, D, E)) & r1_xxreal_0(k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, k9_mesfunc1(A, k3_mesfunc1(A, D, E)), F)), k3_supinf_2(k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, k9_mesfunc1(A, D), F)), k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, k9_mesfunc1(A, E), F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_mesfunc7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] : k1_mesfunc2(A, k3_mesfunc2(B, A))=k3_mesfunc2(B, A)) ) ) ).
fof(t24_mesfunc7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  ( ~ (r1_xxreal_0(k1_supinf_1, k12_supinf_2(C, D)))  =>  (r1_mesfunc5(A, B, C, k3_mesfunc2(D, A)) &  (k7_mesfunc5(A, B, C, k3_mesfunc2(D, A))=k12_supinf_2(C, D) & k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, k3_mesfunc2(D, A), D))=k12_supinf_2(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_mesfunc7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  ( ~ (r1_xxreal_0(k1_supinf_1, k12_supinf_2(C, k5_prob_1(A, B, D, E))))  => k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, k3_mesfunc2(D, A), E))=k12_supinf_2(C, k5_prob_1(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_mesfunc7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ( (r1_mesfunc5(A, B, C, D) &  (r1_tarski(E, k1_relset_1(A, D)) &  (! [H] :  (m1_subset_1(H, A) =>  (r2_tarski(H, E) =>  (r1_xxreal_0(F, k12_supinf_2(D, H)) & r1_xxreal_0(k12_supinf_2(D, H), G)) ) ) ) ) )  =>  (r1_xxreal_0(k1_supinf_1, k12_supinf_2(C, E)) |  (r1_xxreal_0(k4_xxreal_3(F, k12_supinf_2(C, E)), k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, E))) & r1_xxreal_0(k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, E)), k4_xxreal_3(G, k12_supinf_2(C, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_mesfunc7, axiom,  (v1_funct_1(k1_mesfunc7) &  (v1_funct_2(k1_mesfunc7, k2_zfmisc_1(k6_numbers, k6_numbers), k6_numbers) & m1_subset_1(k1_mesfunc7, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_numbers, k6_numbers), k6_numbers)))) ) ).
fof(dt_k2_mesfunc7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_valued_0(A)) ) )  => m1_subset_1(k2_mesfunc7(A), k6_numbers)) ) ).
fof(dt_k4_mesfunc7, axiom,  (! [A, B] :  ( (m1_subset_1(A, k6_numbers) & v7_ordinal1(B))  => m1_subset_1(k4_mesfunc7(A, B), k6_numbers)) ) ).
fof(redefinition_k4_mesfunc7, axiom,  (! [A, B] :  ( (m1_subset_1(A, k6_numbers) & v7_ordinal1(B))  => k4_mesfunc7(A, B)=k3_mesfunc7(A, B)) ) ).
fof(dt_k5_mesfunc7, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) )  =>  (v1_funct_1(k5_mesfunc7(A, B, C)) & m1_subset_1(k5_mesfunc7(A, B, C), k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ).
fof(rc1_mesfunc8, axiom,  (! [A, B] :  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, B)))) &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, k4_partfun1(A, B)) &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) &  (v1_partfun1(C, k4_ordinal1) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, B)) & v1_mesfunc8(C, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(fc1_mesfunc8, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, B)) &  (v1_mesfunc8(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, B))))) ) )  & v7_ordinal1(D))  =>  (v1_funct_1(k6_nat_1(C, D)) &  (v1_funct_2(k6_nat_1(C, D), k4_ordinal1, k4_partfun1(A, B)) & v1_mesfunc8(k6_nat_1(C, D), A, B)) ) ) ) ).
fof(t2_mesfunc8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (k8_nat_1(k9_setfam_1(A), k4_setlim_1(A, B), C)=k5_setfam_1(A, k2_relset_1(k9_setfam_1(A), k7_nat_1(k9_setfam_1(A), B, C))) & k8_nat_1(k9_setfam_1(A), k2_setlim_1(A, B), C)=k6_setfam_1(A, k2_relset_1(k9_setfam_1(A), k7_nat_1(k9_setfam_1(A), B, C)))) ) ) ) ) ) ) ).
fof(t3_mesfunc8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  &  (r1_funct_2(k4_ordinal1, B, k4_ordinal1, k9_setfam_1(A), E, k5_setlim_1(A, B, D)) & k12_supinf_2(C, k3_kurato_0(A, D))=k8_supinf_2(k15_supinf_2(k1_partfun1(k4_ordinal1, B, B, k6_numbers, E, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_mesfunc8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  ~ ( ( ~ (r1_xxreal_0(k1_xxreal_0, k12_supinf_2(C, k3_card_3(D))))  &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  ~ ( (r1_funct_2(k4_ordinal1, B, k4_ordinal1, k9_setfam_1(A), E, k6_setlim_1(A, B, D)) & k12_supinf_2(C, k4_kurato_0(A, D))=k7_supinf_2(k15_supinf_2(k1_partfun1(k4_ordinal1, B, B, k6_numbers, E, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_mesfunc8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  ~ ( (v3_kurato_0(D, A) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  ~ ( (r1_funct_2(k4_ordinal1, B, k4_ordinal1, k9_setfam_1(A), E, k5_setlim_1(A, B, D)) & k12_supinf_2(C, k4_kurato_0(A, D))=k8_supinf_2(k15_supinf_2(k1_partfun1(k4_ordinal1, B, B, k6_numbers, E, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_mesfunc8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  ~ ( (v3_kurato_0(D, A) &  ( ~ (r1_xxreal_0(k1_xxreal_0, k12_supinf_2(C, k3_card_3(D))))  &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  ~ ( (r1_funct_2(k4_ordinal1, B, k4_ordinal1, k9_setfam_1(A), E, k6_setlim_1(A, B, D)) & k12_supinf_2(C, k4_kurato_0(A, D))=k7_supinf_2(k15_supinf_2(k1_partfun1(k4_ordinal1, B, B, k6_numbers, E, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_mesfunc8, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, B))))) )  =>  (v1_mesfunc8(C, A, B) <=> v2_card_3(k2_relset_1(k4_partfun1(A, B), C))) ) ) ) ) ).
fof(d2_mesfunc8, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, B))))) )  =>  (v1_mesfunc8(C, A, B) <=>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) => k1_relset_1(A, k4_mesfunc5(A, B, C, D))=k1_relset_1(A, k4_mesfunc5(A, B, C, E))) ) ) ) ) ) ) ) ) ).
fof(d3_mesfunc8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (C=k1_mesfunc8(A, B) <=>  (k1_relset_1(A, C)=k1_relset_1(A, k4_mesfunc5(A, k6_numbers, B, k5_numbers)) &  (! [D] :  (m1_subset_1(D, A) =>  (r2_tarski(D, k1_relset_1(A, C)) => k12_supinf_2(C, D)=k2_rinfsup2(k3_mesfunc5(A, B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_mesfunc8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (C=k2_mesfunc8(A, B) <=>  (k1_relset_1(A, C)=k1_relset_1(A, k4_mesfunc5(A, k6_numbers, B, k5_numbers)) &  (! [D] :  (m1_subset_1(D, A) =>  (r2_tarski(D, k1_relset_1(A, C)) => k12_supinf_2(C, D)=k1_rinfsup2(k3_mesfunc5(A, B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_mesfunc8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k6_numbers)) &  (v1_mesfunc8(C, A, k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) )  =>  (C=k3_mesfunc8(A, B) <=>  (! [D] :  (v7_ordinal1(D) =>  (k1_relset_1(A, k4_mesfunc5(A, k6_numbers, C, D))=k1_relset_1(A, k4_mesfunc5(A, k6_numbers, B, k5_numbers)) &  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, C, D))) => k12_supinf_2(k4_mesfunc5(A, k6_numbers, C, D), E)=k8_nat_1(k6_numbers, k3_rinfsup2(k3_mesfunc5(A, B, E)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_mesfunc8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k6_numbers)) &  (v1_mesfunc8(C, A, k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) )  =>  (C=k4_mesfunc8(A, B) <=>  (! [D] :  (v7_ordinal1(D) =>  (k1_relset_1(A, k4_mesfunc5(A, k6_numbers, C, D))=k1_relset_1(A, k4_mesfunc5(A, k6_numbers, B, k5_numbers)) &  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, C, D))) => k12_supinf_2(k4_mesfunc5(A, k6_numbers, C, D), E)=k8_nat_1(k6_numbers, k4_rinfsup2(k3_mesfunc5(A, B, E)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_mesfunc8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (r2_tarski(C, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, B, k5_numbers))) => r2_funct_2(k4_ordinal1, k6_numbers, k3_mesfunc5(A, k3_mesfunc8(A, B), C), k3_rinfsup2(k3_mesfunc5(A, B, C)))) ) ) ) ) ) ) ).
fof(t8_mesfunc8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) &  (v1_mesfunc8(B, A, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => r2_relset_1(A, k6_numbers, k4_mesfunc5(A, k6_numbers, k3_mesfunc8(A, B), C), k1_mesfunc8(A, k7_nat_1(k4_partfun1(A, k6_numbers), B, C)))) ) ) ) ) ) ).
fof(t9_mesfunc8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) &  (v1_mesfunc8(B, A, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => r2_relset_1(A, k6_numbers, k4_mesfunc5(A, k6_numbers, k4_mesfunc8(A, B), C), k2_mesfunc8(A, k7_nat_1(k4_partfun1(A, k6_numbers), B, C)))) ) ) ) ) ) ).
fof(t10_mesfunc8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (r2_tarski(C, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, B, k5_numbers))) => r2_funct_2(k4_ordinal1, k6_numbers, k3_mesfunc5(A, k4_mesfunc8(A, B), C), k4_rinfsup2(k3_mesfunc5(A, B, C)))) ) ) ) ) ) ) ).
fof(d7_mesfunc8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (C=k5_mesfunc8(A, B) <=>  (k1_relset_1(A, C)=k1_relset_1(A, k4_mesfunc5(A, k6_numbers, B, k5_numbers)) &  (! [D] :  (m1_subset_1(D, A) =>  (r2_tarski(D, k1_relset_1(A, C)) => k12_supinf_2(C, D)=k6_rinfsup2(k3_mesfunc5(A, B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_mesfunc8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (C=k6_mesfunc8(A, B) <=>  (k1_relset_1(A, C)=k1_relset_1(A, k4_mesfunc5(A, k6_numbers, B, k5_numbers)) &  (! [D] :  (m1_subset_1(D, A) =>  (r2_tarski(D, k1_relset_1(A, C)) => k12_supinf_2(C, D)=k5_rinfsup2(k3_mesfunc5(A, B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_mesfunc8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  ( (! [C] :  (m1_subset_1(C, A) =>  (r2_tarski(C, k1_relset_1(A, k5_mesfunc8(A, B))) =>  (k12_supinf_2(k5_mesfunc8(A, B), C)=k1_rinfsup2(k3_rinfsup2(k3_mesfunc5(A, B, C))) &  (k12_supinf_2(k5_mesfunc8(A, B), C)=k1_rinfsup2(k3_mesfunc5(A, k3_mesfunc8(A, B), C)) & k12_supinf_2(k5_mesfunc8(A, B), C)=k12_supinf_2(k2_mesfunc8(A, k3_mesfunc8(A, B)), C)) ) ) ) )  & r2_relset_1(A, k6_numbers, k5_mesfunc8(A, B), k2_mesfunc8(A, k3_mesfunc8(A, B)))) ) ) ) ) ).
fof(t12_mesfunc8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  ( (! [C] :  (m1_subset_1(C, A) =>  (r2_tarski(C, k1_relset_1(A, k6_mesfunc8(A, B))) =>  (k12_supinf_2(k6_mesfunc8(A, B), C)=k2_rinfsup2(k4_rinfsup2(k3_mesfunc5(A, B, C))) &  (k12_supinf_2(k6_mesfunc8(A, B), C)=k2_rinfsup2(k3_mesfunc5(A, k4_mesfunc8(A, B), C)) & k12_supinf_2(k6_mesfunc8(A, B), C)=k12_supinf_2(k1_mesfunc8(A, k4_mesfunc8(A, B)), C)) ) ) ) )  & r2_relset_1(A, k6_numbers, k6_mesfunc8(A, B), k1_mesfunc8(A, k4_mesfunc8(A, B)))) ) ) ) ) ).
fof(t13_mesfunc8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (r2_tarski(C, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, B, k5_numbers))) =>  (v10_mesfunc5(k3_mesfunc5(A, B, C)) <=> k12_supinf_2(k6_mesfunc8(A, B), C)=k12_supinf_2(k5_mesfunc8(A, B), C)) ) ) ) ) ) ) ) ).
fof(d9_mesfunc8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (C=k7_mesfunc8(A, B) <=>  (k1_relset_1(A, C)=k1_relset_1(A, k4_mesfunc5(A, k6_numbers, B, k5_numbers)) &  (! [D] :  (m1_subset_1(D, A) =>  (r2_tarski(D, k1_relset_1(A, C)) => k12_supinf_2(C, D)=k2_mesfunc5(k3_mesfunc5(A, B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_mesfunc8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  ( (r2_tarski(C, k1_relset_1(A, k7_mesfunc8(A, B))) & v10_mesfunc5(k3_mesfunc5(A, B, C)))  =>  (k12_supinf_2(k7_mesfunc8(A, B), C)=k12_supinf_2(k6_mesfunc8(A, B), C) & k12_supinf_2(k7_mesfunc8(A, B), C)=k12_supinf_2(k5_mesfunc8(A, B), C)) ) ) ) ) ) ) ) ).
fof(t15_mesfunc8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k6_numbers)) &  (v1_mesfunc8(C, A, k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) )  =>  (! [D] :  ( (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [E] :  (v1_xreal_0(E) =>  ( (! [F] :  (v7_ordinal1(F) => k8_nat_1(k9_setfam_1(A), D, F)=k9_subset_1(A, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, C, k5_numbers)), k16_mesfunc1(A, k4_mesfunc5(A, k6_numbers, C, F), E))) )  => k3_tarski(k2_relset_1(B, D))=k9_subset_1(A, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, C, k5_numbers)), k16_mesfunc1(A, k2_mesfunc8(A, C), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_mesfunc8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k6_numbers)) &  (v1_mesfunc8(C, A, k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) )  =>  (! [D] :  ( (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [E] :  (v1_xreal_0(E) =>  ( (! [F] :  (v7_ordinal1(F) => k8_nat_1(k9_setfam_1(A), D, F)=k9_subset_1(A, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, C, k5_numbers)), k17_mesfunc1(A, k4_mesfunc5(A, k6_numbers, C, F), E))) )  => k1_setfam_1(k2_relset_1(B, D))=k9_subset_1(A, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, C, k5_numbers)), k17_mesfunc1(A, k1_mesfunc8(A, C), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_mesfunc8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k6_numbers)) &  (v1_mesfunc8(C, A, k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) )  =>  (! [D] :  ( (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [E] :  (v1_xreal_0(E) =>  ( (! [F] :  (v7_ordinal1(F) => k8_nat_1(k9_setfam_1(A), D, F)=k9_subset_1(A, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, C, k5_numbers)), k16_mesfunc1(A, k4_mesfunc5(A, k6_numbers, C, F), E))) )  =>  (! [F] :  (v7_ordinal1(F) => k8_nat_1(k9_setfam_1(A), k6_setlim_1(A, B, D), F)=k9_subset_1(A, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, C, k5_numbers)), k16_mesfunc1(A, k4_mesfunc5(A, k6_numbers, k4_mesfunc8(A, C), F), E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_mesfunc8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k6_numbers)) &  (v1_mesfunc8(C, A, k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) )  =>  (! [D] :  ( (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [E] :  (v1_xreal_0(E) =>  ( (! [F] :  (v7_ordinal1(F) => k8_nat_1(k9_setfam_1(A), D, F)=k9_subset_1(A, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, C, k5_numbers)), k17_mesfunc1(A, k4_mesfunc5(A, k6_numbers, C, F), E))) )  =>  (! [F] :  (v7_ordinal1(F) => k8_nat_1(k9_setfam_1(A), k5_setlim_1(A, B, D), F)=k9_subset_1(A, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, C, k5_numbers)), k17_mesfunc1(A, k4_mesfunc5(A, k6_numbers, k3_mesfunc8(A, C), F), E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_mesfunc8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k6_numbers)) &  (v1_mesfunc8(C, A, k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  ( (k1_relset_1(A, k4_mesfunc5(A, k6_numbers, C, k5_numbers))=D &  (! [E] :  (v7_ordinal1(E) => r1_mesfunc1(A, B, k4_mesfunc5(A, k6_numbers, C, E), D)) ) )  =>  (! [E] :  (v7_ordinal1(E) => r1_mesfunc1(A, B, k4_mesfunc5(A, k6_numbers, k4_mesfunc8(A, C), E), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_mesfunc8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k6_numbers)) &  (v1_mesfunc8(C, A, k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  ( (k1_relset_1(A, k4_mesfunc5(A, k6_numbers, C, k5_numbers))=D &  (! [E] :  (v7_ordinal1(E) => r1_mesfunc1(A, B, k4_mesfunc5(A, k6_numbers, C, E), D)) ) )  =>  (! [E] :  (v7_ordinal1(E) => r1_mesfunc1(A, B, k4_mesfunc5(A, k6_numbers, k3_mesfunc8(A, C), E), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_mesfunc8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [D] :  ( (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [E] :  (v1_xreal_0(E) =>  ( (! [F] :  (v7_ordinal1(F) => k8_nat_1(k9_setfam_1(A), D, F)=k9_subset_1(A, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, C, k5_numbers)), k17_mesfunc1(A, k4_mesfunc5(A, k6_numbers, k4_mesfunc8(A, C), F), E))) )  => k2_kurato_0(A, D)=k9_subset_1(A, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, C, k5_numbers)), k17_mesfunc1(A, k6_mesfunc8(A, C), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_mesfunc8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [D] :  ( (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [E] :  (v1_xreal_0(E) =>  ( (! [F] :  (v7_ordinal1(F) => k8_nat_1(k9_setfam_1(A), D, F)=k9_subset_1(A, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, C, k5_numbers)), k16_mesfunc1(A, k4_mesfunc5(A, k6_numbers, k3_mesfunc8(A, C), F), E))) )  => k3_tarski(k2_relset_1(B, D))=k9_subset_1(A, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, C, k5_numbers)), k16_mesfunc1(A, k5_mesfunc8(A, C), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_mesfunc8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k6_numbers)) &  (v1_mesfunc8(C, A, k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  ( (k1_relset_1(A, k4_mesfunc5(A, k6_numbers, C, k5_numbers))=D &  (! [E] :  (v7_ordinal1(E) => r1_mesfunc1(A, B, k4_mesfunc5(A, k6_numbers, C, E), D)) ) )  => r1_mesfunc1(A, B, k6_mesfunc8(A, C), D)) ) ) ) ) ) ) ) ) ).
fof(t24_mesfunc8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k6_numbers)) &  (v1_mesfunc8(C, A, k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  ( (k1_relset_1(A, k4_mesfunc5(A, k6_numbers, C, k5_numbers))=D &  (! [E] :  (v7_ordinal1(E) => r1_mesfunc1(A, B, k4_mesfunc5(A, k6_numbers, C, E), D)) ) )  => r1_mesfunc1(A, B, k5_mesfunc8(A, C), D)) ) ) ) ) ) ) ) ) ).
fof(t25_mesfunc8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k6_numbers)) &  (v1_mesfunc8(C, A, k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  ( (k1_relset_1(A, k4_mesfunc5(A, k6_numbers, C, k5_numbers))=D &  ( (! [E] :  (v7_ordinal1(E) => r1_mesfunc1(A, B, k4_mesfunc5(A, k6_numbers, C, E), D)) )  &  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, D) => v10_mesfunc5(k3_mesfunc5(A, C, E))) ) ) ) )  => r1_mesfunc1(A, B, k7_mesfunc8(A, C), D)) ) ) ) ) ) ) ) ) ).
fof(t26_mesfunc8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k6_numbers)) &  (v1_mesfunc8(C, A, k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  ( (k1_relset_1(A, k4_mesfunc5(A, k6_numbers, C, k5_numbers))=E &  ( (! [F] :  (v7_ordinal1(F) => r1_mesfunc1(A, B, k4_mesfunc5(A, k6_numbers, C, F), E)) )  &  (k1_relset_1(A, D)=E &  (! [F] :  (m1_subset_1(F, A) =>  (r2_tarski(F, E) =>  (v10_mesfunc5(k3_mesfunc5(A, C, F)) & k12_supinf_2(D, F)=k2_mesfunc5(k3_mesfunc5(A, C, F))) ) ) ) ) ) )  => r1_mesfunc1(A, B, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_mesfunc8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (! [D] :  (m1_subset_1(D, A) =>  (r2_tarski(D, k1_relset_1(A, C)) =>  (v7_mesfunc5(k3_mesfunc5(A, B, D)) & k12_supinf_2(C, D)=k2_mesfunc5(k3_mesfunc5(A, B, D))) ) ) )  => v3_valued_0(C)) ) ) ) ) ) ) ).
fof(t28_mesfunc8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_partfun1(A, k6_numbers)) &  (v1_mesfunc8(D, A, k6_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ( (k1_relset_1(A, k4_mesfunc5(A, k6_numbers, D, k5_numbers))=F &  ( (! [G] :  (v7_ordinal1(G) =>  (r1_mesfunc1(A, B, k4_mesfunc5(A, k6_numbers, D, G), F) & v3_valued_0(k4_mesfunc5(A, k6_numbers, D, G))) ) )  &  (k1_relset_1(A, E)=F &  (! [G] :  (m1_subset_1(G, A) =>  (r2_tarski(G, F) =>  (v7_mesfunc5(k3_mesfunc5(A, D, G)) & k12_supinf_2(E, G)=k2_mesfunc5(k3_mesfunc5(A, D, G))) ) ) ) ) ) )  =>  (r1_xxreal_0(k1_xxreal_0, k12_supinf_2(C, F)) |  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ~ ( ( ~ (r1_xxreal_0(G, k5_numbers))  &  ( ~ (r1_xxreal_0(H, k5_numbers))  &  (! [I] :  (m2_subset_1(I, k1_zfmisc_1(A), B) =>  (! [J] :  (v7_ordinal1(J) =>  ~ ( (r1_tarski(I, F) &  ( ~ (r1_xxreal_0(G, k12_supinf_2(C, I)))  &  (! [K] :  (v7_ordinal1(K) =>  ( ~ (r1_xxreal_0(K, J))  =>  (! [L] :  (m1_subset_1(L, A) =>  ~ ( (r2_tarski(L, k7_prob_1(A, B, F, I)) & r1_xxreal_0(H, k3_extreal1(k4_supinf_2(k12_supinf_2(k4_mesfunc5(A, k6_numbers, D, K), L), k12_supinf_2(E, L))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_mesfunc8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ( (! [F] :  (m1_subset_1(F, A) => k3_funct_2(A, B, E, F)=k6_subset_1(C, k3_funct_2(A, B, D, F))) )  => k3_tarski(k2_relset_1(B, E))=k6_subset_1(C, k1_setfam_1(k2_relset_1(B, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t30_mesfunc8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_partfun1(A, k6_numbers)) &  (v1_mesfunc8(D, A, k6_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  ( (k1_relset_1(A, k4_mesfunc5(A, k6_numbers, D, k5_numbers))=F &  ( (! [G] :  (v7_ordinal1(G) => r1_mesfunc1(A, B, k4_mesfunc5(A, k6_numbers, D, G), F)) )  &  (! [G] :  (v7_ordinal1(G) =>  (? [H] :  (m2_subset_1(H, k1_zfmisc_1(A), B) &  (r1_tarski(H, F) &  (k12_supinf_2(C, k7_prob_1(A, B, F, H))=k5_numbers &  (! [I] :  (m1_subset_1(I, A) =>  ~ ( (r2_tarski(I, H) & r1_xxreal_0(k1_xxreal_0, k3_extreal1(k12_supinf_2(k4_mesfunc5(A, k6_numbers, D, G), I)))) ) ) ) ) ) ) ) ) ) ) )  =>  (r1_xxreal_0(k1_xxreal_0, k12_supinf_2(C, F)) |  ( (! [G] :  (m2_subset_1(G, k1_zfmisc_1(A), B) =>  ~ ( (r1_tarski(G, F) &  (k12_supinf_2(C, k7_prob_1(A, B, F, G))=k5_numbers &  ( (! [H] :  (m1_subset_1(H, A) =>  (r2_tarski(H, F) => v7_mesfunc5(k3_mesfunc5(A, D, H))) ) )  &  (k1_relset_1(A, E)=F &  (! [H] :  (m1_subset_1(H, A) =>  (r2_tarski(H, G) => k12_supinf_2(E, H)=k2_mesfunc5(k3_mesfunc5(A, D, H))) ) ) ) ) ) ) ) ) )  |  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(G, k5_numbers))  &  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(A), B) =>  ~ ( (r1_tarski(H, F) &  (r1_xxreal_0(k12_supinf_2(C, k7_prob_1(A, B, F, H)), G) &  (! [I] :  (v1_xreal_0(I) =>  ~ ( ( ~ (r1_xxreal_0(I, k5_numbers))  &  (! [J] :  (v7_ordinal1(J) =>  (? [K] :  (v7_ordinal1(K) &  ( ~ (r1_xxreal_0(K, J))  &  (? [L] :  (m1_subset_1(L, A) &  (r2_tarski(L, H) & r1_xxreal_0(I, k3_extreal1(k4_supinf_2(k12_supinf_2(k4_mesfunc5(A, k6_numbers, D, K), L), k12_supinf_2(E, L))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_mesfunc8, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) )  =>  (v1_funct_1(k1_mesfunc8(A, B)) & m1_subset_1(k1_mesfunc8(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ).
fof(dt_k2_mesfunc8, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) )  =>  (v1_funct_1(k2_mesfunc8(A, B)) & m1_subset_1(k2_mesfunc8(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ).
fof(dt_k3_mesfunc8, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) )  =>  (v1_funct_1(k3_mesfunc8(A, B)) &  (v1_funct_2(k3_mesfunc8(A, B), k4_ordinal1, k4_partfun1(A, k6_numbers)) &  (v1_mesfunc8(k3_mesfunc8(A, B), A, k6_numbers) & m1_subset_1(k3_mesfunc8(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) ) ) ) ).
fof(dt_k4_mesfunc8, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) )  =>  (v1_funct_1(k4_mesfunc8(A, B)) &  (v1_funct_2(k4_mesfunc8(A, B), k4_ordinal1, k4_partfun1(A, k6_numbers)) &  (v1_mesfunc8(k4_mesfunc8(A, B), A, k6_numbers) & m1_subset_1(k4_mesfunc8(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) ) ) ) ).
fof(dt_k5_mesfunc8, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) )  =>  (v1_funct_1(k5_mesfunc8(A, B)) & m1_subset_1(k5_mesfunc8(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ).
fof(dt_k6_mesfunc8, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) )  =>  (v1_funct_1(k6_mesfunc8(A, B)) & m1_subset_1(k6_mesfunc8(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ).
fof(dt_k7_mesfunc8, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) )  =>  (v1_funct_1(k7_mesfunc8(A, B)) & m1_subset_1(k7_mesfunc8(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers)))) ) ) ).
fof(t1_mesfunc8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (! [E] :  (v7_ordinal1(E) => m2_subset_1(a_4_0_mesfunc8(A, B, D, E), k1_zfmisc_1(A), B)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_mesfunc8, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, C)))) )  & v7_ordinal1(E)) ) )  =>  (r2_hidden(A, a_4_0_mesfunc8(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, B) &  (A=F &  (! [G] :  (v7_ordinal1(G) =>  (r1_xxreal_0(E, G) => r2_tarski(F, k8_nat_1(C, D, G))) ) ) ) ) ) ) ) ) ).
fof(rc1_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k4_partfun1(A, k6_numbers)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) &  (v1_mesfunc8(B, A, k6_numbers) & v2_mesfunc9(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (v4_mesfunc5(B) & v4_mesfunc5(C))  => k1_relset_1(A, k3_mesfunc1(A, B, C))=k9_subset_1(A, k1_relset_1(A, B), k1_relset_1(A, C))) ) ) ) ) ) ) ).
fof(t2_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (v4_mesfunc5(B) & v3_mesfunc5(C))  => k1_relset_1(A, k4_mesfunc1(A, B, C))=k9_subset_1(A, k1_relset_1(A, B), k1_relset_1(A, C))) ) ) ) ) ) ) ).
fof(t3_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (v3_mesfunc5(B) & v3_mesfunc5(C))  => v3_mesfunc5(k3_mesfunc1(A, B, C))) ) ) ) ) ) ) ).
fof(t4_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (v4_mesfunc5(B) & v4_mesfunc5(C))  => v4_mesfunc5(k3_mesfunc1(A, B, C))) ) ) ) ) ) ) ).
fof(t5_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (v3_mesfunc5(B) & v4_mesfunc5(C))  => v3_mesfunc5(k4_mesfunc1(A, B, C))) ) ) ) ) ) ) ).
fof(t6_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (v4_mesfunc5(B) & v3_mesfunc5(C))  => v4_mesfunc5(k4_mesfunc1(A, B, C))) ) ) ) ) ) ) ).
fof(t7_mesfunc9, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( ~ ( (v7_mesfunc5(A) &  (! [B] :  (v1_xreal_0(B) =>  ~ ( (k2_mesfunc5(A)=B &  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  (r1_xxreal_0(D, E) & r1_xxreal_0(C, k3_extreal1(k4_supinf_2(k12_supinf_2(A, E), k2_mesfunc5(A))))) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (v8_mesfunc5(A) => k2_mesfunc5(A)=k1_supinf_1)  &  (v9_mesfunc5(A) => k2_mesfunc5(A)=k2_supinf_1) ) ) ) ) ).
fof(t8_mesfunc9, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ~ ( (v6_supinf_2(A) & v9_mesfunc5(A)) ) ) ) ).
fof(t9_mesfunc9, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  (v1_xxreal_0(B) =>  ( (v10_mesfunc5(A) &  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k12_supinf_2(A, C), B)) ) )  => r1_xxreal_0(k2_mesfunc5(A), B)) ) ) ) ) ).
fof(t10_mesfunc9, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  (v1_xxreal_0(B) =>  ( (v10_mesfunc5(A) &  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(B, k12_supinf_2(A, C))) ) )  => r1_xxreal_0(B, k2_mesfunc5(A))) ) ) ) ) ).
fof(t11_mesfunc9, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k6_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( (v10_mesfunc5(B) &  (v10_mesfunc5(C) &  (v6_supinf_2(B) &  (v6_supinf_2(C) &  (! [D] :  (v7_ordinal1(D) => k12_supinf_2(A, D)=k3_supinf_2(k12_supinf_2(B, D), k12_supinf_2(C, D))) ) ) ) ) )  =>  (v6_supinf_2(A) &  (v10_mesfunc5(A) & k2_mesfunc5(A)=k3_supinf_2(k2_mesfunc5(B), k2_mesfunc5(C))) ) ) ) ) ) ) ) ) ).
fof(t12_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  ( ( (! [F] :  (v7_ordinal1(F) => r2_relset_1(A, k6_numbers, k4_mesfunc5(A, k6_numbers, C, F), k2_partfun1(A, k6_numbers, k4_mesfunc5(A, k6_numbers, B, F), E))) )  & r2_tarski(D, E))  =>  ( (v8_mesfunc5(k3_mesfunc5(A, B, D)) => v8_mesfunc5(k3_mesfunc5(A, C, D)))  &  ( (v9_mesfunc5(k3_mesfunc5(A, B, D)) => v9_mesfunc5(k3_mesfunc5(A, C, D)))  &  ( (v7_mesfunc5(k3_mesfunc5(A, B, D)) => v7_mesfunc5(k3_mesfunc5(A, C, D)))  &  (v10_mesfunc5(k3_mesfunc5(A, B, D)) => v10_mesfunc5(k3_mesfunc5(A, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (D=k1_relset_1(A, E) &  (r1_mesfunc1(A, B, E, D) & v6_supinf_2(E)) )  =>  (k12_supinf_2(C, k9_subset_1(A, D, k18_mesfunc1(A, E, k1_supinf_1)))=k5_numbers | k7_mesfunc5(A, B, C, E)=k1_supinf_1) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (k7_mesfunc5(A, B, C, k3_mesfunc2(D, A))=k12_supinf_2(C, D) & k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, k3_mesfunc2(D, A), D))=k12_supinf_2(C, D)) ) ) ) ) ) ) ) ) ).
fof(t15_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ( (r1_tarski(D, k1_relset_1(A, E)) &  (r1_tarski(D, k1_relset_1(A, F)) &  (r1_mesfunc1(A, B, E, D) &  (r1_mesfunc1(A, B, F, D) &  (v6_supinf_2(E) &  (! [G] :  (m1_subset_1(G, A) =>  (r2_tarski(G, D) => r1_xxreal_0(k12_supinf_2(E, G), k12_supinf_2(F, G))) ) ) ) ) ) ) )  => r1_xxreal_0(k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, E, D)), k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, F, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_mesfunc9, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_valued_0(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (B=k1_mesfunc9(A) <=>  (k12_supinf_2(B, k5_numbers)=k12_supinf_2(A, k5_numbers) &  (! [C] :  (v7_ordinal1(C) => k12_supinf_2(B, k1_nat_1(C, 1))=k3_supinf_2(k12_supinf_2(B, C), k12_supinf_2(A, k1_nat_1(C, 1)))) ) ) ) ) ) ) ) ).
fof(d2_mesfunc9, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_valued_0(A)) )  =>  (v1_mesfunc9(A) <=> v10_mesfunc5(k1_mesfunc9(A))) ) ) ).
fof(d3_mesfunc9, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_valued_0(A)) )  => k2_mesfunc9(A)=k2_mesfunc5(k1_mesfunc9(A))) ) ).
fof(t16_mesfunc9, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (v6_supinf_2(A) =>  (v6_supinf_2(k1_mesfunc9(A)) & v7_valued_0(k1_mesfunc9(A))) ) ) ) ).
fof(t17_mesfunc9, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( (! [B] :  (v7_ordinal1(B) =>  ~ (r1_xxreal_0(k12_supinf_2(A, B), k5_numbers)) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ~ (r1_xxreal_0(k12_supinf_2(k1_mesfunc9(A), B), k5_numbers)) ) ) ) ) ) ).
fof(t18_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [D] :  ( (v1_mesfunc8(B, A, k6_numbers) &  (! [E] :  (v7_ordinal1(E) => r2_relset_1(A, k6_numbers, k4_mesfunc5(A, k6_numbers, C, E), k2_partfun1(A, k6_numbers, k4_mesfunc5(A, k6_numbers, B, E), D))) ) )  => v1_mesfunc8(C, A, k6_numbers)) ) ) ) ) ) ) ) ).
fof(t19_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [D] :  ( (r1_tarski(D, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, B, k5_numbers))) &  ( (! [E] :  (v7_ordinal1(E) => r2_relset_1(A, k6_numbers, k4_mesfunc5(A, k6_numbers, C, E), k2_partfun1(A, k6_numbers, k4_mesfunc5(A, k6_numbers, B, E), D))) )  &  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, D) => v10_mesfunc5(k3_mesfunc5(A, B, E))) ) ) ) )  => r2_relset_1(A, k6_numbers, k2_partfun1(A, k6_numbers, k7_mesfunc8(A, B), D), k7_mesfunc8(A, C))) ) ) ) ) ) ) ) ).
fof(t20_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(A), B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [F] :  (v7_ordinal1(F) =>  ( (v1_mesfunc8(D, A, k6_numbers) &  (r1_tarski(C, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, D, k5_numbers))) &  (! [G] :  (v7_ordinal1(G) =>  (r1_mesfunc1(A, B, k4_mesfunc5(A, k6_numbers, D, G), C) & r2_relset_1(A, k6_numbers, k4_mesfunc5(A, k6_numbers, E, G), k2_partfun1(A, k6_numbers, k4_mesfunc5(A, k6_numbers, D, G), C))) ) ) ) )  => r1_mesfunc1(A, B, k4_mesfunc5(A, k6_numbers, E, F), C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(A), B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  ( (r1_tarski(C, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, D, k5_numbers))) &  (v1_mesfunc8(E, A, k6_numbers) &  ( (! [F] :  (m1_subset_1(F, A) =>  (r2_tarski(F, C) => v1_mesfunc9(k3_mesfunc5(A, D, F))) ) )  &  (! [F] :  (v7_ordinal1(F) => r2_relset_1(A, k6_numbers, k4_mesfunc5(A, k6_numbers, E, F), k2_partfun1(A, k6_numbers, k4_mesfunc5(A, k6_numbers, D, F), C))) ) ) ) )  =>  (! [F] :  (m1_subset_1(F, A) =>  (r2_tarski(F, C) => v1_mesfunc9(k3_mesfunc5(A, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (C=k3_mesfunc9(A, B) <=>  (r2_relset_1(A, k6_numbers, k4_mesfunc5(A, k6_numbers, C, k5_numbers), k4_mesfunc5(A, k6_numbers, B, k5_numbers)) &  (! [D] :  (v7_ordinal1(D) => r2_relset_1(A, k6_numbers, k4_mesfunc5(A, k6_numbers, C, k1_nat_1(D, 1)), k3_mesfunc1(A, k4_mesfunc5(A, k6_numbers, C, D), k4_mesfunc5(A, k6_numbers, B, k1_nat_1(D, 1))))) ) ) ) ) ) ) ) ) ) ).
fof(d5_mesfunc9, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (v2_mesfunc9(B, A) <=>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( ~ (C=D)  =>  (! [E] :  ~ ( (r2_tarski(E, k9_subset_1(A, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, B, C)), k1_relset_1(A, k4_mesfunc5(A, k6_numbers, B, D)))) &  (k12_supinf_2(k4_mesfunc5(A, k6_numbers, B, C), E)=k1_supinf_1 & k12_supinf_2(k4_mesfunc5(A, k6_numbers, B, D), E)=k2_supinf_1) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (r2_tarski(E, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, k3_mesfunc9(A, B), C))) & r1_xxreal_0(D, C))  =>  (r2_tarski(E, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, k3_mesfunc9(A, B), D))) & r2_tarski(E, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, B, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ~ ( (r2_tarski(D, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, k3_mesfunc9(A, B), C))) &  (k12_supinf_2(k4_mesfunc5(A, k6_numbers, k3_mesfunc9(A, B), C), D)=k1_supinf_1 &  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(E, C) & k12_supinf_2(k4_mesfunc5(A, k6_numbers, B, E), D)=k1_supinf_1) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ~ ( (v2_mesfunc9(B, A) &  (r2_tarski(E, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, k3_mesfunc9(A, B), C))) &  (k12_supinf_2(k4_mesfunc5(A, k6_numbers, k3_mesfunc9(A, B), C), E)=k1_supinf_1 &  (r1_xxreal_0(D, C) & k12_supinf_2(k4_mesfunc5(A, k6_numbers, B, D), E)=k2_supinf_1) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ~ ( (r2_tarski(D, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, k3_mesfunc9(A, B), C))) &  (k12_supinf_2(k4_mesfunc5(A, k6_numbers, k3_mesfunc9(A, B), C), D)=k2_supinf_1 &  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(E, C) & k12_supinf_2(k4_mesfunc5(A, k6_numbers, B, E), D)=k2_supinf_1) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ~ ( (v2_mesfunc9(B, A) &  (r2_tarski(E, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, k3_mesfunc9(A, B), C))) &  (k12_supinf_2(k4_mesfunc5(A, k6_numbers, k3_mesfunc9(A, B), C), E)=k2_supinf_1 &  (r1_xxreal_0(D, C) & k12_supinf_2(k4_mesfunc5(A, k6_numbers, B, D), E)=k1_supinf_1) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (v2_mesfunc9(B, A) =>  (k9_subset_1(A, k8_relset_1(A, k6_numbers, k4_mesfunc5(A, k6_numbers, k3_mesfunc9(A, B), C), k1_tarski(k2_supinf_1)), k8_relset_1(A, k6_numbers, k4_mesfunc5(A, k6_numbers, B, k1_nat_1(C, 1)), k1_tarski(k1_supinf_1)))=k1_xboole_0 & k9_subset_1(A, k8_relset_1(A, k6_numbers, k4_mesfunc5(A, k6_numbers, k3_mesfunc9(A, B), C), k1_tarski(k1_supinf_1)), k8_relset_1(A, k6_numbers, k4_mesfunc5(A, k6_numbers, B, k1_nat_1(C, 1)), k1_tarski(k2_supinf_1)))=k1_xboole_0) ) ) ) ) ) ) ) ).
fof(t29_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( (v2_mesfunc9(B, A) & v1_mesfunc8(B, A, k6_numbers))  => k1_relset_1(A, k4_mesfunc5(A, k6_numbers, k3_mesfunc9(A, B), C))=k1_relset_1(A, k4_mesfunc5(A, k6_numbers, B, k5_numbers))) ) ) ) ) ) ) ).
fof(t30_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  ( (! [C] :  (v7_ordinal1(C) => v6_supinf_2(k4_mesfunc5(A, k6_numbers, B, C))) )  => v2_mesfunc9(B, A)) ) ) ) ) ).
fof(t31_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [D] :  ( (v2_mesfunc9(B, A) &  (! [E] :  (v7_ordinal1(E) => r2_relset_1(A, k6_numbers, k4_mesfunc5(A, k6_numbers, C, E), k2_partfun1(A, k6_numbers, k4_mesfunc5(A, k6_numbers, B, E), D))) ) )  => v2_mesfunc9(C, A)) ) ) ) ) ) ) ) ).
fof(t32_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  ( (v2_mesfunc9(B, A) &  (v1_mesfunc8(B, A, k6_numbers) &  (r1_tarski(E, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, B, k5_numbers))) & r2_tarski(D, E)) ) )  => k12_supinf_2(k1_mesfunc9(k3_mesfunc5(A, B, D)), C)=k12_supinf_2(k3_mesfunc5(A, k3_mesfunc9(A, B), D), C)) ) ) ) ) ) ) ) ) ) ).
fof(t33_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v2_mesfunc9(B, A) &  (v1_mesfunc8(B, A, k6_numbers) &  (r1_tarski(D, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, B, k5_numbers))) & r2_tarski(C, D)) ) )  =>  ( (v7_mesfunc5(k1_mesfunc9(k3_mesfunc5(A, B, C))) => v7_mesfunc5(k3_mesfunc5(A, k3_mesfunc9(A, B), C)))  &  ( (v7_mesfunc5(k3_mesfunc5(A, k3_mesfunc9(A, B), C)) => v7_mesfunc5(k1_mesfunc9(k3_mesfunc5(A, B, C))))  &  ( (v8_mesfunc5(k1_mesfunc9(k3_mesfunc5(A, B, C))) => v8_mesfunc5(k3_mesfunc5(A, k3_mesfunc9(A, B), C)))  &  ( (v8_mesfunc5(k3_mesfunc5(A, k3_mesfunc9(A, B), C)) => v8_mesfunc5(k1_mesfunc9(k3_mesfunc5(A, B, C))))  &  ( (v9_mesfunc5(k1_mesfunc9(k3_mesfunc5(A, B, C))) => v9_mesfunc5(k3_mesfunc5(A, k3_mesfunc9(A, B), C)))  &  ( (v9_mesfunc5(k3_mesfunc5(A, k3_mesfunc9(A, B), C)) => v9_mesfunc5(k1_mesfunc9(k3_mesfunc5(A, B, C))))  &  ( (v10_mesfunc5(k1_mesfunc9(k3_mesfunc5(A, B, C))) => v10_mesfunc5(k3_mesfunc5(A, k3_mesfunc9(A, B), C)))  &  (v10_mesfunc5(k3_mesfunc5(A, k3_mesfunc9(A, B), C)) => v10_mesfunc5(k1_mesfunc9(k3_mesfunc5(A, B, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [D] :  (m1_subset_1(D, A) =>  ( (v2_mesfunc9(B, A) &  (v1_mesfunc8(B, A, k6_numbers) &  (r1_tarski(k1_relset_1(A, C), k1_relset_1(A, k4_mesfunc5(A, k6_numbers, B, k5_numbers))) &  (r2_tarski(D, k1_relset_1(A, C)) &  (v1_mesfunc9(k3_mesfunc5(A, B, D)) & k12_supinf_2(C, D)=k2_mesfunc9(k3_mesfunc5(A, B, D))) ) ) ) )  => k12_supinf_2(C, D)=k2_mesfunc5(k3_mesfunc5(A, k3_mesfunc9(A, B), D))) ) ) ) ) ) ) ) ) ).
fof(t35_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [D] :  (v7_ordinal1(D) =>  ( (! [E] :  (v7_ordinal1(E) => r1_mesfunc2(A, B, k4_mesfunc5(A, k6_numbers, C, E))) )  =>  (v2_mesfunc9(C, A) & r1_mesfunc2(A, B, k4_mesfunc5(A, k6_numbers, k3_mesfunc9(A, C), D))) ) ) ) ) ) ) ) ) ) ).
fof(t36_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( (! [D] :  (v7_ordinal1(D) => v6_supinf_2(k4_mesfunc5(A, k6_numbers, B, D))) )  => v6_supinf_2(k4_mesfunc5(A, k6_numbers, k3_mesfunc9(A, B), C))) ) ) ) ) ) ) ).
fof(t37_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, A) =>  ( (v1_mesfunc8(B, A, k6_numbers) &  (r2_tarski(E, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, B, k5_numbers))) &  ( (! [F] :  (v7_ordinal1(F) => v6_supinf_2(k4_mesfunc5(A, k6_numbers, B, F))) )  & r1_xxreal_0(C, D)) ) )  => r1_xxreal_0(k12_supinf_2(k4_mesfunc5(A, k6_numbers, k3_mesfunc9(A, B), C), E), k12_supinf_2(k4_mesfunc5(A, k6_numbers, k3_mesfunc9(A, B), D), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  ( (v1_mesfunc8(B, A, k6_numbers) &  (r2_tarski(C, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, B, k5_numbers))) &  (! [D] :  (v7_ordinal1(D) => v6_supinf_2(k4_mesfunc5(A, k6_numbers, B, D))) ) ) )  =>  (v7_valued_0(k3_mesfunc5(A, k3_mesfunc9(A, B), C)) & v10_mesfunc5(k3_mesfunc5(A, k3_mesfunc9(A, B), C))) ) ) ) ) ) ) ) ).
fof(t39_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( (! [D] :  (v7_ordinal1(D) => v3_mesfunc5(k4_mesfunc5(A, k6_numbers, B, D))) )  => v3_mesfunc5(k4_mesfunc5(A, k6_numbers, k3_mesfunc9(A, B), C))) ) ) ) ) ) ) ).
fof(t40_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( (! [D] :  (v7_ordinal1(D) => v4_mesfunc5(k4_mesfunc5(A, k6_numbers, B, D))) )  => v4_mesfunc5(k4_mesfunc5(A, k6_numbers, k3_mesfunc9(A, B), C))) ) ) ) ) ) ) ).
fof(t41_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(A), B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [E] :  (v7_ordinal1(E) =>  ( (! [F] :  (v7_ordinal1(F) =>  (r1_mesfunc1(A, B, k4_mesfunc5(A, k6_numbers, D, F), C) & v3_mesfunc5(k4_mesfunc5(A, k6_numbers, D, F))) ) )  => r1_mesfunc1(A, B, k4_mesfunc5(A, k6_numbers, k3_mesfunc9(A, D), E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, A) =>  ( (v2_mesfunc9(B, A) &  (v1_mesfunc8(B, A, k6_numbers) &  (v2_mesfunc9(C, A) &  (v1_mesfunc8(C, A, k6_numbers) &  (r2_tarski(E, k9_subset_1(A, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, B, k5_numbers)), k1_relset_1(A, k4_mesfunc5(A, k6_numbers, C, k5_numbers)))) &  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (m1_subset_1(G, A) =>  (r2_tarski(G, k9_subset_1(A, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, B, k5_numbers)), k1_relset_1(A, k4_mesfunc5(A, k6_numbers, C, k5_numbers)))) => r1_xxreal_0(k12_supinf_2(k4_mesfunc5(A, k6_numbers, B, F), G), k12_supinf_2(k4_mesfunc5(A, k6_numbers, C, F), G))) ) ) ) ) ) ) ) ) )  => r1_xxreal_0(k12_supinf_2(k4_mesfunc5(A, k6_numbers, k3_mesfunc9(A, B), D), E), k12_supinf_2(k4_mesfunc5(A, k6_numbers, k3_mesfunc9(A, C), D), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  ( (v2_mesfunc9(B, A) & v1_mesfunc8(B, A, k6_numbers))  => v1_mesfunc8(k3_mesfunc9(A, B), A, k6_numbers)) ) ) ) ) ).
fof(t44_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(A), B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  ( (k1_relset_1(A, k4_mesfunc5(A, k6_numbers, D, k5_numbers))=C &  (v2_mesfunc9(D, A) &  (v1_mesfunc8(D, A, k6_numbers) &  ( (! [E] :  (v7_ordinal1(E) => r1_mesfunc1(A, B, k4_mesfunc5(A, k6_numbers, k3_mesfunc9(A, D), E), C)) )  &  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, C) => v1_mesfunc9(k3_mesfunc5(A, D, E))) ) ) ) ) ) )  => r1_mesfunc1(A, B, k7_mesfunc8(A, k3_mesfunc9(A, D)), C)) ) ) ) ) ) ) ) ) ).
fof(t45_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  ( (! [E] :  (v7_ordinal1(E) => r1_mesfunc5(A, B, C, k4_mesfunc5(A, k6_numbers, D, E))) )  =>  (! [E] :  (v7_ordinal1(E) => r1_mesfunc5(A, B, C, k4_mesfunc5(A, k6_numbers, k3_mesfunc9(A, D), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k6_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [G] :  (v7_ordinal1(G) =>  ( (D=k1_relset_1(A, k4_mesfunc5(A, k6_numbers, E, k5_numbers)) &  (v2_mesfunc9(E, A) &  (v1_mesfunc8(E, A, k6_numbers) &  (! [H] :  (v7_ordinal1(H) =>  (r1_mesfunc1(A, B, k4_mesfunc5(A, k6_numbers, E, H), D) &  (v6_supinf_2(k4_mesfunc5(A, k6_numbers, E, H)) & k12_supinf_2(F, H)=k7_mesfunc5(A, B, C, k4_mesfunc5(A, k6_numbers, E, H))) ) ) ) ) ) )  => k7_mesfunc5(A, B, C, k4_mesfunc5(A, k6_numbers, k3_mesfunc9(A, E), G))=k12_supinf_2(k1_mesfunc9(F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ~ ( (r1_tarski(D, k1_relset_1(A, F)) &  (v6_supinf_2(F) &  (r1_mesfunc1(A, B, F, D) &  (v2_mesfunc9(E, A) &  ( (! [G] :  (v7_ordinal1(G) =>  (r1_mesfunc2(A, B, k4_mesfunc5(A, k6_numbers, E, G)) &  (v6_supinf_2(k4_mesfunc5(A, k6_numbers, E, G)) & r1_tarski(D, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, E, G)))) ) ) )  &  ( (! [G] :  (m1_subset_1(G, A) =>  (r2_tarski(G, D) =>  (v1_mesfunc9(k3_mesfunc5(A, E, G)) & k12_supinf_2(F, G)=k2_mesfunc9(k3_mesfunc5(A, E, G))) ) ) )  &  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, k6_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ~ ( ( (! [H] :  (v7_ordinal1(H) => k12_supinf_2(G, H)=k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, k4_mesfunc5(A, k6_numbers, E, H), D))) )  &  (v1_mesfunc9(G) & k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, F, D))=k2_mesfunc9(G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  ~ ( (r1_tarski(D, k1_relset_1(A, E)) &  (v6_supinf_2(E) &  (r1_mesfunc1(A, B, E, D) &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  ~ ( (v2_mesfunc9(F, A) &  ( (! [G] :  (v7_ordinal1(G) =>  (r1_mesfunc2(A, B, k4_mesfunc5(A, k6_numbers, F, G)) &  (v6_supinf_2(k4_mesfunc5(A, k6_numbers, F, G)) & r1_mesfunc1(A, B, k4_mesfunc5(A, k6_numbers, F, G), D)) ) ) )  &  ( (! [G] :  (m1_subset_1(G, A) =>  (r2_tarski(G, D) =>  (v1_mesfunc9(k3_mesfunc5(A, F, G)) & k12_supinf_2(E, G)=k2_mesfunc9(k3_mesfunc5(A, F, G))) ) ) )  &  (? [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, k6_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  &  ( (! [H] :  (v7_ordinal1(H) => k12_supinf_2(G, H)=k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, k4_mesfunc5(A, k6_numbers, F, H), D))) )  &  (v1_mesfunc9(G) & k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, E, D))=k2_mesfunc9(G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, B, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  (F=k5_mesfunc9(A, B, C, D, E) <=>  (! [G] :  (m1_subset_1(G, B) => k3_funct_2(B, C, F, G)=k2_binop_1(A, B, C, D, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [E] :  (m1_subset_1(E, B) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  =>  (F=k6_mesfunc9(A, B, C, D, E) <=>  (! [G] :  (m1_subset_1(G, A) => k3_funct_2(A, C, F, G)=k2_binop_1(A, B, C, D, G, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_mesfunc9, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_partfun1(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_partfun1(A, B))))) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k4_partfun1(A, B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, B))))) )  =>  (E=k7_mesfunc9(A, B, C, D) <=>  (! [F] :  (v7_ordinal1(F) => k4_mesfunc5(A, B, E, F)=k1_binop_1(C, D, F)) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_mesfunc9, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_partfun1(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_partfun1(A, B))))) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k4_partfun1(A, B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, B))))) )  =>  (E=k8_mesfunc9(A, B, C, D) <=>  (! [F] :  (v7_ordinal1(F) => k4_mesfunc5(A, B, E, F)=k1_binop_1(C, F, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(A), B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  ~ ( (C=k1_relset_1(A, k4_mesfunc5(A, k6_numbers, D, k5_numbers)) &  (v1_mesfunc8(D, A, k6_numbers) &  ( (! [E] :  (v7_ordinal1(E) =>  (v6_supinf_2(k4_mesfunc5(A, k6_numbers, D, E)) & r1_mesfunc1(A, B, k4_mesfunc5(A, k6_numbers, D, E), C)) ) )  &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k9_funct_2(k4_ordinal1, k4_partfun1(A, k6_numbers))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_funct_2(k4_ordinal1, k4_partfun1(A, k6_numbers)))))) )  =>  ~ ( (! [F] :  (v7_ordinal1(F) =>  ( (! [G] :  (v7_ordinal1(G) =>  (r1_mesfunc2(A, B, k4_mesfunc5(A, k6_numbers, k9_mesfunc9(A, E, F), G)) & k1_relset_1(A, k4_mesfunc5(A, k6_numbers, k9_mesfunc9(A, E, F), G))=k1_relset_1(A, k4_mesfunc5(A, k6_numbers, D, F))) ) )  &  ( (! [G] :  (v7_ordinal1(G) => v6_supinf_2(k4_mesfunc5(A, k6_numbers, k9_mesfunc9(A, E, F), G))) )  &  ( (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (v7_ordinal1(H) =>  (r1_xxreal_0(G, H) =>  (! [I] :  (m1_subset_1(I, A) =>  (r2_tarski(I, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, D, F))) => r1_xxreal_0(k12_supinf_2(k4_mesfunc5(A, k6_numbers, k9_mesfunc9(A, E, F), G), I), k12_supinf_2(k4_mesfunc5(A, k6_numbers, k9_mesfunc9(A, E, F), H), I))) ) ) ) ) ) ) )  &  (! [G] :  (m1_subset_1(G, A) =>  (r2_tarski(G, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, D, F))) =>  (v10_mesfunc5(k3_mesfunc5(A, k9_mesfunc9(A, E, F), G)) & k2_mesfunc5(k3_mesfunc5(A, k9_mesfunc9(A, E, F), G))=k12_supinf_2(k4_mesfunc5(A, k6_numbers, D, F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  ~ ( (D=k1_relset_1(A, k4_mesfunc5(A, k6_numbers, E, k5_numbers)) &  (v2_mesfunc9(E, A) &  (v1_mesfunc8(E, A, k6_numbers) &  ( (! [F] :  (v7_ordinal1(F) =>  (r1_mesfunc1(A, B, k4_mesfunc5(A, k6_numbers, E, F), D) & v6_supinf_2(k4_mesfunc5(A, k6_numbers, E, F))) ) )  &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k6_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ~ ( (! [G] :  (v7_ordinal1(G) =>  (k12_supinf_2(F, G)=k7_mesfunc5(A, B, C, k4_mesfunc5(A, k6_numbers, E, G)) & k7_mesfunc5(A, B, C, k4_mesfunc5(A, k6_numbers, k3_mesfunc9(A, E), G))=k12_supinf_2(k1_mesfunc9(F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  ~ ( (r1_tarski(D, k1_relset_1(A, k4_mesfunc5(A, k6_numbers, E, k5_numbers))) &  (v2_mesfunc9(E, A) &  (v1_mesfunc8(E, A, k6_numbers) &  ( (! [F] :  (v7_ordinal1(F) =>  (v6_supinf_2(k4_mesfunc5(A, k6_numbers, E, F)) & r1_mesfunc1(A, B, k4_mesfunc5(A, k6_numbers, E, F), D)) ) )  &  ( (! [F] :  (m1_subset_1(F, A) =>  (r2_tarski(F, D) => v1_mesfunc9(k3_mesfunc5(A, E, F))) ) )  &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k6_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ~ ( ( (! [G] :  (v7_ordinal1(G) => k12_supinf_2(F, G)=k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, k4_mesfunc5(A, k6_numbers, E, G), D))) )  &  (v1_mesfunc9(F) & k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, k7_mesfunc8(A, k3_mesfunc9(A, E)), D))=k2_mesfunc9(F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  ~ ( (D=k1_relset_1(A, k4_mesfunc5(A, k6_numbers, E, k5_numbers)) &  (v6_supinf_2(k4_mesfunc5(A, k6_numbers, E, k5_numbers)) &  (v1_mesfunc8(E, A, k6_numbers) &  ( (! [F] :  (v7_ordinal1(F) => r1_mesfunc1(A, B, k4_mesfunc5(A, k6_numbers, E, F), D)) )  &  ( (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  (r1_xxreal_0(F, G) =>  (! [H] :  (m1_subset_1(H, A) =>  (r2_tarski(H, D) => r1_xxreal_0(k12_supinf_2(k4_mesfunc5(A, k6_numbers, E, F), H), k12_supinf_2(k4_mesfunc5(A, k6_numbers, E, G), H))) ) ) ) ) ) ) )  &  ( (! [F] :  (m1_subset_1(F, A) =>  (r2_tarski(F, D) => v10_mesfunc5(k3_mesfunc5(A, E, F))) ) )  &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k6_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ~ ( ( (! [G] :  (v7_ordinal1(G) => k12_supinf_2(F, G)=k7_mesfunc5(A, B, C, k4_mesfunc5(A, k6_numbers, E, G))) )  &  (v10_mesfunc5(F) & k7_mesfunc5(A, B, C, k7_mesfunc8(A, E))=k2_mesfunc5(F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_mesfunc9, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_valued_0(A)) )  =>  (v1_funct_1(k1_mesfunc9(A)) &  (v1_funct_2(k1_mesfunc9(A), k4_ordinal1, k6_numbers) & m1_subset_1(k1_mesfunc9(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) ) ) ) ).
fof(dt_k2_mesfunc9, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_valued_0(A)) )  => m1_subset_1(k2_mesfunc9(A), k6_numbers)) ) ).
fof(dt_k3_mesfunc9, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) )  =>  (v1_funct_1(k3_mesfunc9(A, B)) &  (v1_funct_2(k3_mesfunc9(A, B), k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(k3_mesfunc9(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) ) ) ).
fof(dt_k4_mesfunc9, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k4_partfun1(C, k6_numbers)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k4_partfun1(C, k6_numbers))))) )  &  (m1_subset_1(E, A) & m1_subset_1(F, B)) ) ) ) )  =>  (v1_funct_1(k4_mesfunc9(A, B, C, D, E, F)) & m1_subset_1(k4_mesfunc9(A, B, C, D, E, F), k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ).
fof(redefinition_k4_mesfunc9, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k4_partfun1(C, k6_numbers)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k4_partfun1(C, k6_numbers))))) )  &  (m1_subset_1(E, A) & m1_subset_1(F, B)) ) ) ) )  => k4_mesfunc9(A, B, C, D, E, F)=k1_binop_1(D, E, F)) ) ).
fof(dt_k5_mesfunc9, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  & m1_subset_1(E, A)) ) ) )  =>  (v1_funct_1(k5_mesfunc9(A, B, C, D, E)) &  (v1_funct_2(k5_mesfunc9(A, B, C, D, E), B, C) & m1_subset_1(k5_mesfunc9(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(B, C)))) ) ) ) ).
fof(dt_k6_mesfunc9, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  & m1_subset_1(E, B)) ) ) )  =>  (v1_funct_1(k6_mesfunc9(A, B, C, D, E)) &  (v1_funct_2(k6_mesfunc9(A, B, C, D, E), A, C) & m1_subset_1(k6_mesfunc9(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(A, C)))) ) ) ) ).
fof(dt_k7_mesfunc9, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_partfun1(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_partfun1(A, B))))) )  & v7_ordinal1(D))  =>  (v1_funct_1(k7_mesfunc9(A, B, C, D)) &  (v1_funct_2(k7_mesfunc9(A, B, C, D), k4_ordinal1, k4_partfun1(A, B)) & m1_subset_1(k7_mesfunc9(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, B))))) ) ) ) ).
fof(dt_k8_mesfunc9, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_partfun1(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_partfun1(A, B))))) )  & v7_ordinal1(D))  =>  (v1_funct_1(k8_mesfunc9(A, B, C, D)) &  (v1_funct_2(k8_mesfunc9(A, B, C, D), k4_ordinal1, k4_partfun1(A, B)) & m1_subset_1(k8_mesfunc9(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, B))))) ) ) ) ).
fof(dt_k9_mesfunc9, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_funct_2(k4_ordinal1, k4_partfun1(A, k6_numbers))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_funct_2(k4_ordinal1, k4_partfun1(A, k6_numbers)))))) )  & v7_ordinal1(C)) )  =>  (v1_funct_1(k9_mesfunc9(A, B, C)) &  (v1_funct_2(k9_mesfunc9(A, B, C), k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(k9_mesfunc9(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) ) ) ) ).
fof(redefinition_k9_mesfunc9, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_funct_2(k4_ordinal1, k4_partfun1(A, k6_numbers))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_funct_2(k4_ordinal1, k4_partfun1(A, k6_numbers)))))) )  & v7_ordinal1(C)) )  => k9_mesfunc9(A, B, C)=k1_funct_1(B, C)) ) ).
fof(t28_mesfunc9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(A, k6_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(A, k6_numbers))))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (v2_mesfunc9(B, A) => k1_relset_1(A, k4_mesfunc5(A, k6_numbers, k3_mesfunc9(A, B), C))=k1_setfam_1(a_3_0_mesfunc9(A, B, C))) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_mesfunc9, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(B, k6_numbers)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(B, k6_numbers))))) )  & v7_ordinal1(D)) )  =>  (r2_hidden(A, a_3_0_mesfunc9(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k4_ordinal1) &  (A=k1_relset_1(B, k4_mesfunc5(B, k6_numbers, C, E)) & r1_xxreal_0(E, D)) ) ) ) ) ) ).
fof(rc1_metric_1, axiom,  (? [A] :  (l1_metric_1(A) & v1_metric_1(A)) ) ).
fof(rc2_metric_1, axiom,  (? [A] :  (l1_metric_1(A) &  ( ~ (v2_struct_0(A))  & v1_metric_1(A)) ) ) ).
fof(fc1_metric_1, axiom,  (v1_relat_1(k7_funct_5) &  (v1_funct_1(k7_funct_5) & v4_valued_0(k7_funct_5)) ) ).
fof(fc2_metric_1, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v4_valued_0(A)) )  => v7_ordinal1(k1_binop_1(A, B, C))) ) ).
fof(rc3_metric_1, axiom,  (? [A] :  (l1_metric_1(A) &  ( ~ (v2_struct_0(A))  &  (v1_metric_1(A) &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) & v9_metric_1(A)) ) ) ) ) ) ) ).
fof(fc3_metric_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k5_metric_1(A)))  & v1_metric_1(k5_metric_1(A))) ) ) ).
fof(fc4_metric_1, axiom,  (! [A] :  (v1_metric_1(k5_metric_1(A)) &  (v6_metric_1(k5_metric_1(A)) &  (v7_metric_1(k5_metric_1(A)) &  (v8_metric_1(k5_metric_1(A)) & v9_metric_1(k5_metric_1(A))) ) ) ) ) ).
fof(fc5_metric_1, axiom,  ( ~ (v2_struct_0(k7_metric_1))  & v1_metric_1(k7_metric_1)) ).
fof(fc6_metric_1, axiom,  (v1_metric_1(k7_metric_1) &  (v6_metric_1(k7_metric_1) &  (v7_metric_1(k7_metric_1) &  (v8_metric_1(k7_metric_1) & v9_metric_1(k7_metric_1)) ) ) ) ).
fof(fc7_metric_1, axiom,  ( ~ (v2_struct_0(g1_metric_1(1, k2_metric_1)))  & v1_metric_1(g1_metric_1(1, k2_metric_1))) ).
fof(fc8_metric_1, axiom,  (v1_metric_1(g1_metric_1(1, k2_metric_1)) &  (v6_metric_1(g1_metric_1(1, k2_metric_1)) &  (v8_metric_1(g1_metric_1(1, k2_metric_1)) &  (v9_metric_1(g1_metric_1(1, k2_metric_1)) & v11_metric_1(g1_metric_1(1, k2_metric_1))) ) ) ) ).
fof(rc4_metric_1, axiom,  (? [A] :  (l1_metric_1(A) &  ( ~ (v2_struct_0(A))  &  (v1_metric_1(A) &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) &  (v11_metric_1(A) & v12_metric_1(A)) ) ) ) ) ) ) ) ).
fof(cc1_metric_1, axiom,  (! [A] :  (l1_metric_1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) & v9_metric_1(A)) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & v11_metric_1(A)) ) ) ) ) ) ) ) ).
fof(cc2_metric_1, axiom,  (! [A] :  (l1_metric_1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v11_metric_1(A) & v12_metric_1(A)) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) &  (v11_metric_1(A) & v12_metric_1(A)) ) ) ) ) ) ) ) ) ).
fof(fc9_metric_1, axiom,  ( ~ (v2_struct_0(k12_metric_1))  & v1_metric_1(k12_metric_1)) ).
fof(fc10_metric_1, axiom,  (v6_metric_1(k12_metric_1) &  (v8_metric_1(k12_metric_1) & v9_metric_1(k12_metric_1)) ) ).
fof(d1_metric_1, axiom,  (! [A] :  (l1_metric_1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_metric_1(A, B, C)=k1_binop_1(u1_metric_1(A), B, C)) ) ) ) ) ) ).
fof(d2_metric_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers))))  =>  (v2_metric_1(B, A) <=>  (! [C] :  (m1_subset_1(C, A) => k1_binop_1(B, C, C)=k5_numbers) ) ) ) ) ) ).
fof(d3_metric_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers))))  =>  (v3_metric_1(B, A) <=>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (k1_binop_1(B, C, D)=k5_numbers => C=D) ) ) ) ) ) ) ) ) ).
fof(d4_metric_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers))))  =>  (v4_metric_1(B, A) <=>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) => k1_binop_1(B, C, D)=k1_binop_1(B, D, C)) ) ) ) ) ) ) ) ).
fof(d5_metric_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers))))  =>  (v5_metric_1(B, A) <=>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) => r1_xxreal_0(k1_binop_1(B, C, E), k2_xcmplx_0(k1_binop_1(B, C, D), k1_binop_1(B, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(d6_metric_1, axiom,  (! [A] :  (l1_metric_1(A) =>  (v6_metric_1(A) <=> v2_metric_1(u1_metric_1(A), u1_struct_0(A))) ) ) ).
fof(d7_metric_1, axiom,  (! [A] :  (l1_metric_1(A) =>  (v7_metric_1(A) <=> v3_metric_1(u1_metric_1(A), u1_struct_0(A))) ) ) ).
fof(d8_metric_1, axiom,  (! [A] :  (l1_metric_1(A) =>  (v8_metric_1(A) <=> v4_metric_1(u1_metric_1(A), u1_struct_0(A))) ) ) ).
fof(d9_metric_1, axiom,  (! [A] :  (l1_metric_1(A) =>  (v9_metric_1(A) <=> v5_metric_1(u1_metric_1(A), u1_struct_0(A))) ) ) ).
fof(t1_metric_1, axiom,  (! [A] :  (l1_metric_1(A) =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_metric_1(A, B, B)=k5_numbers) )  <=> v6_metric_1(A)) ) ) ).
fof(t2_metric_1, axiom,  (! [A] :  (l1_metric_1(A) =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_metric_1(A, B, C)=k5_numbers => B=C) ) ) ) )  <=> v7_metric_1(A)) ) ) ).
fof(t3_metric_1, axiom,  (! [A] :  (l1_metric_1(A) =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_metric_1(A, B, C)=k1_metric_1(A, C, B)) ) ) )  => v8_metric_1(A)) ) ) ).
fof(t4_metric_1, axiom,  (! [A] :  (l1_metric_1(A) =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_xxreal_0(k1_metric_1(A, B, D), k2_xcmplx_0(k1_metric_1(A, B, C), k1_metric_1(A, C, D)))) ) ) ) ) )  <=> v9_metric_1(A)) ) ) ).
fof(t5_metric_1, axiom,  (! [A] :  ( (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_xxreal_0(k5_numbers, k3_metric_1(A, B, C))) ) ) ) ) ) ).
fof(t6_metric_1, axiom,  (! [A] :  (l1_metric_1(A) =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (k1_metric_1(A, B, C)=k5_numbers => B=C)  &  ( (B=C => k1_metric_1(A, B, C)=k5_numbers)  &  (k1_metric_1(A, B, C)=k1_metric_1(A, C, B) & r1_xxreal_0(k1_metric_1(A, B, D), k2_xcmplx_0(k1_metric_1(A, B, C), k1_metric_1(A, C, D)))) ) ) ) ) ) ) ) )  =>  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) ) ) ) ).
fof(t7_metric_1, axiom,  (! [A] :  ( (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  & r1_xxreal_0(k3_metric_1(A, B, C), k5_numbers)) ) ) ) ) ) ) ) ).
fof(d10_metric_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) )  =>  (B=k4_metric_1(A) <=>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (k1_binop_1(B, C, C)=k5_numbers &  ( ~ (C=D)  => k1_binop_1(B, C, D)=1) ) ) ) ) ) ) ) ) ) ).
fof(d11_metric_1, axiom,  (! [A] : k5_metric_1(A)=g1_metric_1(A, k4_metric_1(A))) ).
fof(d12_metric_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers)))) )  =>  (A=k6_metric_1 <=>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) => k1_binop_1(A, B, C)=k9_complex1(k6_xcmplx_0(B, C))) ) ) ) ) ) ) ).
fof(t8_metric_1, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (k4_binop_1(k1_numbers, k6_metric_1, A, B)=k5_numbers <=> A=B) ) ) ) ) ).
fof(t9_metric_1, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) => k4_binop_1(k1_numbers, k6_metric_1, A, B)=k4_binop_1(k1_numbers, k6_metric_1, B, A)) ) ) ) ).
fof(t10_metric_1, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) => r1_xxreal_0(k4_binop_1(k1_numbers, k6_metric_1, A, B), k3_real_1(k4_binop_1(k1_numbers, k6_metric_1, A, C), k4_binop_1(k1_numbers, k6_metric_1, C, B)))) ) ) ) ) ) ).
fof(d13_metric_1, axiom, k7_metric_1=g1_metric_1(k1_numbers, k6_metric_1)).
fof(t11_metric_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (l1_metric_1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r2_tarski(D, k8_metric_1(B, C, A)) <=>  ( ~ (v2_struct_0(B))  &  ~ (r1_xxreal_0(A, k1_metric_1(B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_metric_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (l1_metric_1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r2_tarski(D, k9_metric_1(B, C, A)) <=>  ( ~ (v2_struct_0(B))  & r1_xxreal_0(k1_metric_1(B, C, D), A)) ) ) ) ) ) ) ) ) ) ).
fof(t13_metric_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (l1_metric_1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r2_tarski(D, k10_metric_1(B, C, A)) <=>  ( ~ (v2_struct_0(B))  & k1_metric_1(B, C, D)=A) ) ) ) ) ) ) ) ) ) ).
fof(t14_metric_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (l1_metric_1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => r1_tarski(k8_metric_1(B, C, A), k9_metric_1(B, C, A))) ) ) ) ) ) ).
fof(t15_metric_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (l1_metric_1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => r1_tarski(k10_metric_1(B, C, A), k9_metric_1(B, C, A))) ) ) ) ) ) ).
fof(t16_metric_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (l1_metric_1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k4_subset_1(u1_struct_0(B), k10_metric_1(B, C, A), k8_metric_1(B, C, A))=k9_metric_1(B, C, A)) ) ) ) ) ) ).
fof(t20_metric_1, axiom,  (! [A] : k1_binop_1(k2_metric_1, A, A)=k5_numbers) ).
fof(t21_metric_1, axiom,  (! [A] :  (m1_subset_1(A, 1) =>  (! [B] :  (m1_subset_1(B, 1) =>  ~ ( ( ~ (A=B)  & r1_xxreal_0(k1_binop_1(k2_metric_1, A, B), k5_numbers)) ) ) ) ) ) ).
fof(t22_metric_1, axiom,  (! [A] :  (m1_subset_1(A, 1) =>  (! [B] :  (m1_subset_1(B, 1) => k1_binop_1(k2_metric_1, A, B)=k1_binop_1(k2_metric_1, B, A)) ) ) ) ).
fof(t23_metric_1, axiom,  (! [A] :  (m1_subset_1(A, 1) =>  (! [B] :  (m1_subset_1(B, 1) =>  (! [C] :  (m1_subset_1(C, 1) => r1_xxreal_0(k1_binop_1(k2_metric_1, A, C), k2_xcmplx_0(k1_binop_1(k2_metric_1, A, B), k1_binop_1(k2_metric_1, B, C)))) ) ) ) ) ) ).
fof(t24_metric_1, axiom,  (! [A] :  (m1_subset_1(A, 1) =>  (! [B] :  (m1_subset_1(B, 1) =>  (! [C] :  (m1_subset_1(C, 1) => r1_xxreal_0(k1_binop_1(k2_metric_1, A, C), k4_xxreal_0(k1_binop_1(k2_metric_1, A, B), k1_binop_1(k2_metric_1, B, C)))) ) ) ) ) ) ).
fof(d17_metric_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) )  =>  (v10_metric_1(B, A) <=>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  ~ ( ( ~ (C=D)  & r1_xxreal_0(k2_binop_1(A, A, k1_numbers, B, C, D), k5_numbers)) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_metric_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  =>  (v11_metric_1(A) <=> v10_metric_1(u1_metric_1(A), u1_struct_0(A))) ) ) ).
fof(t25_metric_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  & r1_xxreal_0(k1_metric_1(A, B, C), k5_numbers)) ) ) ) ) )  <=> v11_metric_1(A)) ) ) ).
fof(d19_metric_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  =>  (v12_metric_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_xxreal_0(k1_metric_1(A, B, D), k4_xxreal_0(k1_metric_1(A, B, C), k1_metric_1(A, C, D)))) ) ) ) ) ) ) ) ) ).
fof(t26_metric_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v11_metric_1(A) & l1_metric_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_xxreal_0(k5_numbers, k1_metric_1(A, B, C))) ) ) ) ) ) ).
fof(d20_metric_1, axiom, k11_metric_1=k8_funcop_1(k4_ordinal1, k2_zfmisc_1(2, 2), k5_numbers)).
fof(t27_metric_1, axiom,  (! [A] :  (m1_subset_1(A, 2) =>  (! [B] :  (m1_subset_1(B, 2) => k1_binop_1(k11_metric_1, A, B)=k5_numbers) ) ) ) ).
fof(t28_metric_1, axiom,  (! [A] :  (m1_subset_1(A, 2) =>  (! [B] :  (m1_subset_1(B, 2) => k1_binop_1(k11_metric_1, A, B)=k1_binop_1(k11_metric_1, B, A)) ) ) ) ).
fof(t29_metric_1, axiom,  (! [A] :  (m1_subset_1(A, 2) =>  (! [B] :  (m1_subset_1(B, 2) =>  (! [C] :  (m1_subset_1(C, 2) => r1_xxreal_0(k1_binop_1(k11_metric_1, A, C), k2_xcmplx_0(k1_binop_1(k11_metric_1, A, B), k1_binop_1(k11_metric_1, B, C)))) ) ) ) ) ) ).
fof(d21_metric_1, axiom, k12_metric_1=g1_metric_1(2, k11_metric_1)).
fof(d22_metric_1, axiom,  (! [A] :  (l1_metric_1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_metric_1(A, B, C, D) <=>  ( ~ (B=C)  &  ( ~ (B=D)  &  ( ~ (C=D)  & k1_metric_1(A, B, D)=k2_xcmplx_0(k1_metric_1(A, B, C), k1_metric_1(A, C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_metric_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_metric_1(A, B, C, D) => r1_metric_1(A, D, C, B)) ) ) ) ) ) ) ) ) ).
fof(t31_metric_1, axiom,  (! [A] :  ( (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_metric_1(A, B, C, D) =>  ( ~ (r1_metric_1(A, C, B, D))  &  ~ (r1_metric_1(A, B, D, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_metric_1, axiom,  (! [A] :  ( (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_metric_1(A, B, C, D) & r1_metric_1(A, B, D, E))  =>  (r1_metric_1(A, B, C, E) & r1_metric_1(A, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_metric_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, k13_metric_1(A, B, C)) <=> r1_metric_1(A, B, D, C)) ) ) ) ) ) ) ) ) ).
fof(t34_metric_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, k14_metric_1(A, B, C)) <=>  ~ ( ( ~ (r1_metric_1(A, B, D, C))  &  ( ~ (D=B)  &  ~ (D=C) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(abstractness_v1_metric_1, axiom,  (! [A] :  (l1_metric_1(A) =>  (v1_metric_1(A) => A=g1_metric_1(u1_struct_0(A), u1_metric_1(A))) ) ) ).
fof(dt_l1_metric_1, axiom,  (! [A] :  (l1_metric_1(A) => l1_struct_0(A)) ) ).
fof(existence_l1_metric_1, axiom,  (? [A] : l1_metric_1(A)) ).
fof(dt_g1_metric_1, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) )  =>  (v1_metric_1(g1_metric_1(A, B)) & l1_metric_1(g1_metric_1(A, B))) ) ) ).
fof(free_g1_metric_1, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) )  =>  (! [C, D] :  (g1_metric_1(A, B)=g1_metric_1(C, D) =>  (A=C & B=D) ) ) ) ) ).
fof(dt_u1_metric_1, axiom,  (! [A] :  (l1_metric_1(A) =>  (v1_funct_1(u1_metric_1(A)) &  (v1_funct_2(u1_metric_1(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers) & m1_subset_1(u1_metric_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers)))) ) ) ) ).
fof(dt_k1_metric_1, axiom,  (! [A, B, C] :  ( (l1_metric_1(A) &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => v1_xreal_0(k1_metric_1(A, B, C))) ) ).
fof(dt_k2_metric_1, axiom,  (v1_funct_1(k2_metric_1) &  (v1_funct_2(k2_metric_1, k2_zfmisc_1(1, 1), k1_numbers) & m1_subset_1(k2_metric_1, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(1, 1), k1_numbers)))) ) ).
fof(redefinition_k2_metric_1, axiom, k2_metric_1=k7_funct_5).
fof(dt_k3_metric_1, axiom,  (! [A, B, C] :  ( ( (v8_metric_1(A) & l1_metric_1(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => v1_xreal_0(k3_metric_1(A, B, C))) ) ).
fof(commutativity_k3_metric_1, axiom,  (! [A, B, C] :  ( ( (v8_metric_1(A) & l1_metric_1(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k3_metric_1(A, B, C)=k3_metric_1(A, C, B)) ) ).
fof(redefinition_k3_metric_1, axiom,  (! [A, B, C] :  ( ( (v8_metric_1(A) & l1_metric_1(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k3_metric_1(A, B, C)=k1_metric_1(A, B, C)) ) ).
fof(dt_k4_metric_1, axiom,  (! [A] :  (v1_funct_1(k4_metric_1(A)) &  (v1_funct_2(k4_metric_1(A), k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(k4_metric_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) ) ).
fof(dt_k5_metric_1, axiom,  (! [A] :  (v1_metric_1(k5_metric_1(A)) & l1_metric_1(k5_metric_1(A))) ) ).
fof(dt_k6_metric_1, axiom,  (v1_funct_1(k6_metric_1) &  (v1_funct_2(k6_metric_1, k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers) & m1_subset_1(k6_metric_1, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers)))) ) ).
fof(dt_k7_metric_1, axiom,  (v1_metric_1(k7_metric_1) & l1_metric_1(k7_metric_1)) ).
fof(dt_k8_metric_1, axiom,  (! [A, B, C] :  ( (l1_metric_1(A) &  (m1_subset_1(B, u1_struct_0(A)) & v1_xreal_0(C)) )  => m1_subset_1(k8_metric_1(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k9_metric_1, axiom,  (! [A, B, C] :  ( (l1_metric_1(A) &  (m1_subset_1(B, u1_struct_0(A)) & v1_xreal_0(C)) )  => m1_subset_1(k9_metric_1(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k10_metric_1, axiom,  (! [A, B, C] :  ( (l1_metric_1(A) &  (m1_subset_1(B, u1_struct_0(A)) & v1_xreal_0(C)) )  => m1_subset_1(k10_metric_1(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k11_metric_1, axiom,  (v1_funct_1(k11_metric_1) &  (v1_funct_2(k11_metric_1, k2_zfmisc_1(2, 2), k1_numbers) & m1_subset_1(k11_metric_1, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(2, 2), k1_numbers)))) ) ).
fof(dt_k12_metric_1, axiom, l1_metric_1(k12_metric_1)).
fof(dt_k13_metric_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k13_metric_1(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k14_metric_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k14_metric_1(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(d14_metric_1, axiom,  (! [A] :  (l1_metric_1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( ( ~ (v2_struct_0(A))  =>  (D=k8_metric_1(A, B, C) <=> D=a_3_0_metric_1(A, B, C)) )  &  (v2_struct_0(A) =>  (D=k8_metric_1(A, B, C) <=> v1_xboole_0(D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_metric_1, axiom,  (! [A] :  (l1_metric_1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( ( ~ (v2_struct_0(A))  =>  (D=k9_metric_1(A, B, C) <=> D=a_3_1_metric_1(A, B, C)) )  &  (v2_struct_0(A) =>  (D=k9_metric_1(A, B, C) <=> v1_xboole_0(D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_metric_1, axiom,  (! [A] :  (l1_metric_1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( ( ~ (v2_struct_0(A))  =>  (D=k10_metric_1(A, B, C) <=> D=a_3_2_metric_1(A, B, C)) )  &  (v2_struct_0(A) =>  (D=k10_metric_1(A, B, C) <=> v1_xboole_0(D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_metric_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_metric_1(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k8_metric_1(B, C, A)=a_3_3_metric_1(A, B, C)) ) ) ) ) ) ).
fof(t18_metric_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_metric_1(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k9_metric_1(B, C, A)=a_3_4_metric_1(A, B, C)) ) ) ) ) ) ).
fof(t19_metric_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_metric_1(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k10_metric_1(B, C, A)=a_3_5_metric_1(A, B, C)) ) ) ) ) ) ).
fof(d23_metric_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k13_metric_1(A, B, C)=a_3_6_metric_1(A, B, C)) ) ) ) ) ) ).
fof(d24_metric_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k14_metric_1(A, B, C)=k2_xboole_0(a_3_6_metric_1(A, B, C), k2_tarski(B, C))) ) ) ) ) ) ).
fof(fraenkel_a_3_0_metric_1, axiom,  (! [A, B, C, D] :  ( (l1_metric_1(B) &  (m1_subset_1(C, u1_struct_0(B)) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_0_metric_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E &  ~ (r1_xxreal_0(D, k1_metric_1(B, C, E))) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_metric_1, axiom,  (! [A, B, C, D] :  ( (l1_metric_1(B) &  (m1_subset_1(C, u1_struct_0(B)) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_1_metric_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E & r1_xxreal_0(k1_metric_1(B, C, E), D)) ) ) ) ) ) ).
fof(fraenkel_a_3_2_metric_1, axiom,  (! [A, B, C, D] :  ( (l1_metric_1(B) &  (m1_subset_1(C, u1_struct_0(B)) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_2_metric_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E & k1_metric_1(B, C, E)=D) ) ) ) ) ) ).
fof(fraenkel_a_3_3_metric_1, axiom,  (! [A, B, C, D] :  ( (v1_xreal_0(B) &  ( ( ~ (v2_struct_0(C))  & l1_metric_1(C))  & m1_subset_1(D, u1_struct_0(C))) )  =>  (r2_hidden(A, a_3_3_metric_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(C)) &  (A=E &  ~ (r1_xxreal_0(B, k1_metric_1(C, D, E))) ) ) ) ) ) ) ).
fof(fraenkel_a_3_4_metric_1, axiom,  (! [A, B, C, D] :  ( (v1_xreal_0(B) &  ( ( ~ (v2_struct_0(C))  & l1_metric_1(C))  & m1_subset_1(D, u1_struct_0(C))) )  =>  (r2_hidden(A, a_3_4_metric_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(C)) &  (A=E & r1_xxreal_0(k1_metric_1(C, D, E), B)) ) ) ) ) ) ).
fof(fraenkel_a_3_5_metric_1, axiom,  (! [A, B, C, D] :  ( (v1_xreal_0(B) &  ( ( ~ (v2_struct_0(C))  & l1_metric_1(C))  & m1_subset_1(D, u1_struct_0(C))) )  =>  (r2_hidden(A, a_3_5_metric_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(C)) &  (A=E & k1_metric_1(C, D, E)=B) ) ) ) ) ) ).
fof(fraenkel_a_3_6_metric_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  & l1_metric_1(B))  &  (m1_subset_1(C, u1_struct_0(B)) & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_6_metric_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E & r1_metric_1(B, C, E, D)) ) ) ) ) ) ).
fof(cc1_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  (! [B] :  (m1_metric_2(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(fc1_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  =>  ~ (v1_xboole_0(k2_metric_2(A))) ) ) ).
fof(fc2_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  ( ~ (v2_struct_0(k11_metric_2(A)))  &  (v1_metric_1(k11_metric_2(A)) &  (v6_metric_1(k11_metric_2(A)) &  (v7_metric_1(k11_metric_2(A)) &  (v8_metric_1(k11_metric_2(A)) & v9_metric_1(k11_metric_2(A))) ) ) ) ) ) ) ).
fof(d1_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_metric_2(A, B, C) <=> k1_metric_1(A, B, C)=k5_numbers) ) ) ) ) ) ) ).
fof(d3_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (m1_metric_2(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & B=k1_metric_2(A, C)) ) ) ) ) ) ) ).
fof(t1_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r3_metric_2(A, B, C) & r3_metric_2(A, C, D))  => r3_metric_2(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t2_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, k1_metric_2(A, B)) <=> r3_metric_2(A, C, B)) ) ) ) ) ) ) ).
fof(t3_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, k1_metric_2(A, B)) & r2_tarski(D, k1_metric_2(A, B)))  => r3_metric_2(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t4_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r2_tarski(B, k1_metric_2(A, B))) ) ) ) ).
fof(t5_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(B, k1_metric_2(A, C)) => r2_tarski(C, k1_metric_2(A, B))) ) ) ) ) ) ) ).
fof(t6_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(B, k1_metric_2(A, C)) & r3_metric_2(A, C, D))  => r2_tarski(B, k1_metric_2(A, D))) ) ) ) ) ) ) ) ) ).
fof(t7_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, k1_metric_2(A, B)) => k1_metric_2(A, B)=k1_metric_2(A, C)) ) ) ) ) ) ) ).
fof(t8_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_metric_2(A, B)=k1_metric_2(A, C) <=> r3_metric_2(A, B, C)) ) ) ) ) ) ) ).
fof(t9_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (r1_xboole_0(k1_metric_2(A, B), k1_metric_2(A, C)))  <=> r3_metric_2(A, B, C)) ) ) ) ) ) ) ).
fof(t10_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, k1_metric_2(A, B)) & r2_tarski(D, k1_metric_2(A, B)))  => k3_metric_1(A, C, D)=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(t11_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) & l1_metric_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_metric_2(A, B, C) <=> B=C) ) ) ) ) ) ) ).
fof(t12_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, k1_metric_2(A, B)) <=> C=B) ) ) ) ) ) ) ).
fof(t13_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_metric_2(A, B)=k6_domain_1(u1_struct_0(A), B)) ) ) ) ).
fof(t14_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (m1_metric_2(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & B=k6_domain_1(u1_struct_0(A), C)) ) ) ) ) ) ) ).
fof(t15_metric_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_metric_1(B))  =>  (r2_tarski(A, k2_metric_2(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(B)) & A=k1_metric_2(B, C)) ) ) ) ) ) ).
fof(t16_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r2_tarski(k1_metric_2(A, B), k2_metric_2(A))) ) ) ) ).
fof(t17_metric_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_metric_1(B))  =>  (r2_tarski(A, k2_metric_2(B)) <=> m1_metric_2(A, B)) ) ) ) ).
fof(t18_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r2_tarski(k6_domain_1(u1_struct_0(A), B), k2_metric_2(A))) ) ) ) ).
fof(t19_metric_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  =>  (r2_tarski(A, k2_metric_2(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(B)) & A=k6_domain_1(u1_struct_0(B), C)) ) ) ) ) ) ).
fof(t20_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_metric_2(A)) =>  (! [C] :  (m1_subset_1(C, k2_metric_2(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_tarski(D, B) &  (r2_tarski(F, C) &  (r2_tarski(E, B) & r2_tarski(G, C)) ) )  => k3_metric_1(A, D, F)=k3_metric_1(A, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  =>  (! [B] :  (m1_subset_1(B, k2_metric_2(A)) =>  (! [C] :  (m1_subset_1(C, k2_metric_2(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (r4_metric_2(A, B, C, D) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_tarski(E, B) & r2_tarski(F, C))  => k1_metric_1(A, E, F)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_metric_2(A)) =>  (! [C] :  (m1_subset_1(C, k2_metric_2(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (r4_metric_2(A, B, C, D) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (r2_tarski(E, B) &  (r2_tarski(F, C) & k3_metric_1(A, E, F)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_metric_2(A)) =>  (! [C] :  (m1_subset_1(C, k2_metric_2(A)) =>  (! [D] :  (m1_subset_1(D, k1_numbers) =>  (r4_metric_2(A, B, C, D) => r4_metric_2(A, C, B, D)) ) ) ) ) ) ) ) ) ).
fof(t23_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_metric_2(A)) =>  (! [C] :  (m1_subset_1(C, k2_metric_2(A)) =>  (! [D] :  (m1_subset_1(D, k1_numbers) =>  (r2_tarski(D, k3_metric_2(A, B, C)) <=> r4_metric_2(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t24_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(k2_metric_2(A), k2_metric_2(A))) =>  (r2_tarski(C, k4_metric_2(A, B)) <=>  (? [D] :  (m1_subset_1(D, k2_metric_2(A)) &  (? [E] :  (m1_subset_1(E, k2_metric_2(A)) &  (C=k1_domain_1(k2_metric_2(A), k2_metric_2(A), D, E) & r4_metric_2(A, D, E, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (r2_tarski(B, k5_metric_2(A)) <=>  (? [C] :  (m1_subset_1(C, k2_metric_2(A)) &  (? [D] :  (m1_subset_1(D, k2_metric_2(A)) & r4_metric_2(A, C, D, B)) ) ) ) ) ) ) ) ) ).
fof(t26_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_metric_2(A)) =>  (r2_tarski(B, k6_metric_2(A)) <=>  (? [C] :  (m1_subset_1(C, k2_metric_2(A)) &  (? [D] :  (m1_subset_1(D, k1_numbers) & r4_metric_2(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t27_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_metric_2(A)) =>  (r2_tarski(B, k7_metric_2(A)) <=>  (? [C] :  (m1_subset_1(C, k2_metric_2(A)) &  (? [D] :  (m1_subset_1(D, k1_numbers) & r4_metric_2(A, C, B, D)) ) ) ) ) ) ) ) ) ).
fof(t28_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k2_metric_2(A), k2_metric_2(A))) =>  (r2_tarski(B, k8_metric_2(A)) <=>  (? [C] :  (m1_subset_1(C, k2_metric_2(A)) &  (? [D] :  (m1_subset_1(D, k2_metric_2(A)) &  (? [E] :  (m1_subset_1(E, k1_numbers) &  (B=k1_domain_1(k2_metric_2(A), k2_metric_2(A), C, D) & r4_metric_2(A, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k3_zfmisc_1(k2_metric_2(A), k2_metric_2(A), k1_numbers)) =>  (r2_tarski(B, k9_metric_2(A)) <=>  (? [C] :  (m1_subset_1(C, k2_metric_2(A)) &  (? [D] :  (m1_subset_1(D, k2_metric_2(A)) &  (? [E] :  (m1_subset_1(E, k1_numbers) &  (B=k4_domain_1(k2_metric_2(A), k2_metric_2(A), k1_numbers, C, D, E) & r4_metric_2(A, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  => k6_metric_2(A)=k7_metric_2(A)) ) ).
fof(t31_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  => r1_tarski(k9_metric_2(A), k9_mcart_1(k2_metric_2(A), k2_metric_2(A), k1_numbers, k6_metric_2(A), k7_metric_2(A), k5_metric_2(A)))) ) ).
fof(t32_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_metric_2(A)) =>  (! [C] :  (m1_subset_1(C, k2_metric_2(A)) =>  (! [D] :  (m1_subset_1(D, k1_numbers) =>  (! [E] :  (m1_subset_1(E, k1_numbers) =>  ( (r4_metric_2(A, B, C, D) & r4_metric_2(A, B, C, E))  => D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_metric_2(A)) =>  (! [C] :  (m1_subset_1(C, k2_metric_2(A)) =>  (? [D] :  (v1_xreal_0(D) & r4_metric_2(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(d13_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k2_metric_2(A), k2_metric_2(A)), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_metric_2(A), k2_metric_2(A)), k1_numbers)))) )  =>  (B=k10_metric_2(A) <=>  (! [C] :  (m1_subset_1(C, k2_metric_2(A)) =>  (! [D] :  (m1_subset_1(D, k2_metric_2(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_tarski(E, C) & r2_tarski(F, D))  => k2_binop_1(k2_metric_2(A), k2_metric_2(A), k1_numbers, B, C, D)=k3_metric_1(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_metric_2(A)) =>  (! [C] :  (m1_subset_1(C, k2_metric_2(A)) =>  (k2_binop_1(k2_metric_2(A), k2_metric_2(A), k1_numbers, k10_metric_2(A), B, C)=k5_numbers <=> B=C) ) ) ) ) ) ) ).
fof(t35_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_metric_2(A)) =>  (! [C] :  (m1_subset_1(C, k2_metric_2(A)) => k2_binop_1(k2_metric_2(A), k2_metric_2(A), k1_numbers, k10_metric_2(A), B, C)=k2_binop_1(k2_metric_2(A), k2_metric_2(A), k1_numbers, k10_metric_2(A), C, B)) ) ) ) ) ) ).
fof(t36_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_metric_2(A)) =>  (! [C] :  (m1_subset_1(C, k2_metric_2(A)) =>  (! [D] :  (m1_subset_1(D, k2_metric_2(A)) => r1_xxreal_0(k2_binop_1(k2_metric_2(A), k2_metric_2(A), k1_numbers, k10_metric_2(A), B, D), k2_xcmplx_0(k2_binop_1(k2_metric_2(A), k2_metric_2(A), k1_numbers, k10_metric_2(A), B, C), k2_binop_1(k2_metric_2(A), k2_metric_2(A), k1_numbers, k10_metric_2(A), C, D)))) ) ) ) ) ) ) ) ).
fof(d14_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  => k11_metric_2(A)=g1_metric_1(k2_metric_2(A), k10_metric_2(A))) ) ).
fof(reflexivity_r2_metric_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) & l1_metric_1(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => r2_metric_2(A, B, B)) ) ).
fof(redefinition_r2_metric_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) & l1_metric_1(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r2_metric_2(A, B, C) <=> r1_metric_2(A, B, C)) ) ) ).
fof(symmetry_r3_metric_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v8_metric_1(A) & l1_metric_1(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r3_metric_2(A, B, C) => r3_metric_2(A, C, B)) ) ) ).
fof(redefinition_r3_metric_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v8_metric_1(A) & l1_metric_1(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r3_metric_2(A, B, C) <=> r1_metric_2(A, B, C)) ) ) ).
fof(dt_k1_metric_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k1_metric_2(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_m1_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  =>  (! [B] :  (m1_metric_2(B, A) => m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ).
fof(existence_m1_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  =>  (? [B] : m1_metric_2(B, A)) ) ) ).
fof(dt_k3_metric_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  &  (m1_subset_1(B, k2_metric_2(A)) & m1_subset_1(C, k2_metric_2(A))) )  => m1_subset_1(k3_metric_2(A, B, C), k1_zfmisc_1(k1_numbers))) ) ).
fof(dt_k4_metric_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  & m1_subset_1(B, k1_numbers))  => m1_subset_1(k4_metric_2(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_metric_2(A), k2_metric_2(A))))) ) ).
fof(dt_k5_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  => m1_subset_1(k5_metric_2(A), k1_zfmisc_1(k1_numbers))) ) ).
fof(dt_k6_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  => m1_subset_1(k6_metric_2(A), k1_zfmisc_1(k2_metric_2(A)))) ) ).
fof(dt_k7_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  => m1_subset_1(k7_metric_2(A), k1_zfmisc_1(k2_metric_2(A)))) ) ).
fof(dt_k8_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  => m1_subset_1(k8_metric_2(A), k1_zfmisc_1(k2_zfmisc_1(k2_metric_2(A), k2_metric_2(A))))) ) ).
fof(dt_k9_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  => m1_subset_1(k9_metric_2(A), k1_zfmisc_1(k3_zfmisc_1(k2_metric_2(A), k2_metric_2(A), k1_numbers)))) ) ).
fof(dt_k10_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  (v1_funct_1(k10_metric_2(A)) &  (v1_funct_2(k10_metric_2(A), k2_zfmisc_1(k2_metric_2(A), k2_metric_2(A)), k1_numbers) & m1_subset_1(k10_metric_2(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_metric_2(A), k2_metric_2(A)), k1_numbers)))) ) ) ) ).
fof(dt_k11_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  (v6_metric_1(k11_metric_2(A)) &  (v7_metric_1(k11_metric_2(A)) &  (v8_metric_1(k11_metric_2(A)) &  (v9_metric_1(k11_metric_2(A)) & l1_metric_1(k11_metric_2(A))) ) ) ) ) ) ).
fof(d2_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_metric_2(A, B)=a_2_0_metric_2(A, B)) ) ) ) ).
fof(d4_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  => k2_metric_2(A)=a_1_0_metric_2(A)) ) ).
fof(d6_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  =>  (! [B] :  (m1_subset_1(B, k2_metric_2(A)) =>  (! [C] :  (m1_subset_1(C, k2_metric_2(A)) => k3_metric_2(A, B, C)=a_3_0_metric_2(A, B, C)) ) ) ) ) ) ).
fof(d7_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_numbers) => k4_metric_2(A, B)=a_2_1_metric_2(A, B)) ) ) ) ).
fof(d8_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  => k5_metric_2(A)=a_1_1_metric_2(A)) ) ).
fof(d9_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  => k6_metric_2(A)=a_1_2_metric_2(A)) ) ).
fof(d10_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  => k7_metric_2(A)=a_1_3_metric_2(A)) ) ).
fof(d11_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  => k8_metric_2(A)=a_1_4_metric_2(A)) ) ).
fof(d12_metric_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  => k9_metric_2(A)=a_1_5_metric_2(A)) ) ).
fof(fraenkel_a_2_0_metric_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l1_metric_1(B))  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_2_0_metric_2(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & r1_metric_2(B, C, D)) ) ) ) ) ) ).
fof(fraenkel_a_1_0_metric_2, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  & l1_metric_1(B))  =>  (r2_hidden(A, a_1_0_metric_2(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) &  (A=C &  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) & k1_metric_2(B, D)=C) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_metric_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  & l1_metric_1(B))  &  (m1_subset_1(C, k2_metric_2(B)) & m1_subset_1(D, k2_metric_2(B))) )  =>  (r2_hidden(A, a_3_0_metric_2(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_numbers) &  (A=E & r4_metric_2(B, C, D, E)) ) ) ) ) ) ).
fof(fraenkel_a_2_1_metric_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l1_metric_1(B))  & m1_subset_1(C, k1_numbers))  =>  (r2_hidden(A, a_2_1_metric_2(B, C)) <=>  (? [D] :  (m1_subset_1(D, k2_zfmisc_1(k2_metric_2(B), k2_metric_2(B))) &  (A=D &  (? [E] :  (m1_subset_1(E, k2_metric_2(B)) &  (? [F] :  (m1_subset_1(F, k2_metric_2(B)) &  (D=k1_domain_1(k2_metric_2(B), k2_metric_2(B), E, F) & r4_metric_2(B, E, F, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_1_metric_2, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  & l1_metric_1(B))  =>  (r2_hidden(A, a_1_1_metric_2(B)) <=>  (? [C] :  (m1_subset_1(C, k1_numbers) &  (A=C &  (? [D] :  (m1_subset_1(D, k2_metric_2(B)) &  (? [E] :  (m1_subset_1(E, k2_metric_2(B)) & r4_metric_2(B, D, E, C)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_2_metric_2, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  & l1_metric_1(B))  =>  (r2_hidden(A, a_1_2_metric_2(B)) <=>  (? [C] :  (m1_subset_1(C, k2_metric_2(B)) &  (A=C &  (? [D] :  (m1_subset_1(D, k2_metric_2(B)) &  (? [E] :  (m1_subset_1(E, k1_numbers) & r4_metric_2(B, C, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_3_metric_2, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  & l1_metric_1(B))  =>  (r2_hidden(A, a_1_3_metric_2(B)) <=>  (? [C] :  (m1_subset_1(C, k2_metric_2(B)) &  (A=C &  (? [D] :  (m1_subset_1(D, k2_metric_2(B)) &  (? [E] :  (m1_subset_1(E, k1_numbers) & r4_metric_2(B, D, C, E)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_4_metric_2, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  & l1_metric_1(B))  =>  (r2_hidden(A, a_1_4_metric_2(B)) <=>  (? [C] :  (m1_subset_1(C, k2_zfmisc_1(k2_metric_2(B), k2_metric_2(B))) &  (A=C &  (? [D] :  (m1_subset_1(D, k2_metric_2(B)) &  (? [E] :  (m1_subset_1(E, k2_metric_2(B)) &  (? [F] :  (m1_subset_1(F, k1_numbers) &  (C=k1_domain_1(k2_metric_2(B), k2_metric_2(B), D, E) & r4_metric_2(B, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_5_metric_2, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  & l1_metric_1(B))  =>  (r2_hidden(A, a_1_5_metric_2(B)) <=>  (? [C] :  (m1_subset_1(C, k3_zfmisc_1(k2_metric_2(B), k2_metric_2(B), k1_numbers)) &  (A=C &  (? [D] :  (m1_subset_1(D, k2_metric_2(B)) &  (? [E] :  (m1_subset_1(E, k2_metric_2(B)) &  (? [F] :  (m1_subset_1(F, k1_numbers) &  (C=k4_domain_1(k2_metric_2(B), k2_metric_2(B), k1_numbers, D, E, F) & r4_metric_2(B, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_metric_3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  =>  ( ~ (v2_struct_0(g1_metric_1(A, B)))  & v1_metric_1(g1_metric_1(A, B))) ) ) ).
fof(d1_metric_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))), k1_numbers)))) )  =>  (C=k1_metric_3(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_subset_1(H, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))) =>  (! [I] :  (m1_subset_1(I, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))) =>  ( (H=k1_domain_1(u1_struct_0(A), u1_struct_0(B), D, F) & I=k1_domain_1(u1_struct_0(A), u1_struct_0(B), E, G))  => k2_binop_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k1_numbers, C, H, I)=k2_xcmplx_0(k3_metric_1(A, D, E), k3_metric_1(B, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_metric_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))) =>  (k2_binop_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k1_numbers, k1_metric_3(A, B), C, D)=k5_numbers <=> C=D) ) ) ) ) ) ) ) ) ).
fof(t2_metric_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))) => k2_binop_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k1_numbers, k1_metric_3(A, B), C, D)=k2_binop_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k1_numbers, k1_metric_3(A, B), D, C)) ) ) ) ) ) ) ) ).
fof(t3_metric_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))) =>  (! [E] :  (m1_subset_1(E, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))) => r1_xxreal_0(k2_binop_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k1_numbers, k1_metric_3(A, B), C, E), k3_real_1(k2_binop_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k1_numbers, k1_metric_3(A, B), C, D), k2_binop_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k1_numbers, k1_metric_3(A, B), D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(d2_metric_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))) => k2_metric_3(A, B, C, D)=k2_binop_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k1_numbers, k1_metric_3(A, B), C, D)) ) ) ) ) ) ) ) ).
fof(d3_metric_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  => k3_metric_3(A, B)=g1_metric_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k1_metric_3(A, B))) ) ) ) ).
fof(d4_metric_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v6_metric_1(C) &  (v7_metric_1(C) &  (v8_metric_1(C) &  (v9_metric_1(C) & l1_metric_1(C)) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C))), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C))), k1_numbers)))) )  =>  (D=k4_metric_3(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(C)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(C)) =>  (! [K] :  (m1_subset_1(K, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C))) =>  (! [L] :  (m1_subset_1(L, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C))) =>  ( (K=k4_domain_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, G, I) & L=k4_domain_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), F, H, J))  => k2_binop_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k1_numbers, D, K, L)=k2_xcmplx_0(k2_xcmplx_0(k3_metric_1(A, E, F), k3_metric_1(B, G, H)), k3_metric_1(C, I, J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_metric_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v6_metric_1(C) &  (v7_metric_1(C) &  (v8_metric_1(C) &  (v9_metric_1(C) & l1_metric_1(C)) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C))) =>  (! [E] :  (m1_subset_1(E, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C))) =>  (k2_binop_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k1_numbers, k4_metric_3(A, B, C), D, E)=k5_numbers <=> D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_metric_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v6_metric_1(C) &  (v7_metric_1(C) &  (v8_metric_1(C) &  (v9_metric_1(C) & l1_metric_1(C)) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C))) =>  (! [E] :  (m1_subset_1(E, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C))) => k2_binop_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k1_numbers, k4_metric_3(A, B, C), D, E)=k2_binop_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k1_numbers, k4_metric_3(A, B, C), E, D)) ) ) ) ) ) ) ) ) ) ).
fof(t6_metric_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v6_metric_1(C) &  (v7_metric_1(C) &  (v8_metric_1(C) &  (v9_metric_1(C) & l1_metric_1(C)) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C))) =>  (! [E] :  (m1_subset_1(E, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C))) =>  (! [F] :  (m1_subset_1(F, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C))) => r1_xxreal_0(k2_binop_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k1_numbers, k4_metric_3(A, B, C), D, F), k3_real_1(k2_binop_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k1_numbers, k4_metric_3(A, B, C), D, E), k2_binop_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k1_numbers, k4_metric_3(A, B, C), E, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_metric_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v6_metric_1(C) &  (v7_metric_1(C) &  (v8_metric_1(C) &  (v9_metric_1(C) & l1_metric_1(C)) ) ) ) )  => k5_metric_3(A, B, C)=g1_metric_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k4_metric_3(A, B, C))) ) ) ) ) ) ).
fof(d6_metric_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v6_metric_1(C) &  (v7_metric_1(C) &  (v8_metric_1(C) &  (v9_metric_1(C) & l1_metric_1(C)) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C))) =>  (! [E] :  (m1_subset_1(E, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C))) => k6_metric_3(A, B, C, D, E)=k2_binop_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k1_numbers, k4_metric_3(A, B, C), D, E)) ) ) ) ) ) ) ) ) ) ).
fof(d7_metric_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v6_metric_1(C) &  (v7_metric_1(C) &  (v8_metric_1(C) &  (v9_metric_1(C) & l1_metric_1(C)) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v6_metric_1(D) &  (v7_metric_1(D) &  (v8_metric_1(D) &  (v9_metric_1(D) & l1_metric_1(D)) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(k4_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D)), k4_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D))), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D)), k4_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D))), k1_numbers)))) )  =>  (E=k7_metric_3(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(B)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(C)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(C)) =>  (! [L] :  (m1_subset_1(L, u1_struct_0(D)) =>  (! [M] :  (m1_subset_1(M, u1_struct_0(D)) =>  (! [N] :  (m1_subset_1(N, k4_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D))) =>  (! [O] :  (m1_subset_1(O, k4_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D))) =>  ( (N=k5_domain_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D), F, H, J, L) & O=k5_domain_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D), G, I, K, M))  => k2_binop_1(k4_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D)), k4_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D)), k1_numbers, E, N, O)=k2_xcmplx_0(k2_xcmplx_0(k3_metric_1(A, F, G), k3_metric_1(B, H, I)), k2_xcmplx_0(k3_metric_1(C, J, K), k3_metric_1(D, L, M)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_metric_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v6_metric_1(C) &  (v7_metric_1(C) &  (v8_metric_1(C) &  (v9_metric_1(C) & l1_metric_1(C)) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v6_metric_1(D) &  (v7_metric_1(D) &  (v8_metric_1(D) &  (v9_metric_1(D) & l1_metric_1(D)) ) ) ) )  =>  (! [E] :  (m1_subset_1(E, k4_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D))) =>  (! [F] :  (m1_subset_1(F, k4_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D))) =>  (k2_binop_1(k4_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D)), k4_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D)), k1_numbers, k7_metric_3(A, B, C, D), E, F)=k5_numbers <=> E=F) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_metric_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v6_metric_1(C) &  (v7_metric_1(C) &  (v8_metric_1(C) &  (v9_metric_1(C) & l1_metric_1(C)) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v6_metric_1(D) &  (v7_metric_1(D) &  (v8_metric_1(D) &  (v9_metric_1(D) & l1_metric_1(D)) ) ) ) )  =>  (! [E] :  (m1_subset_1(E, k4_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D))) =>  (! [F] :  (m1_subset_1(F, k4_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D))) => k2_binop_1(k4_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D)), k4_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D)), k1_numbers, k7_metric_3(A, B, C, D), E, F)=k2_binop_1(k4_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D)), k4_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D)), k1_numbers, k7_metric_3(A, B, C, D), F, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_metric_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v6_metric_1(C) &  (v7_metric_1(C) &  (v8_metric_1(C) &  (v9_metric_1(C) & l1_metric_1(C)) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v6_metric_1(D) &  (v7_metric_1(D) &  (v8_metric_1(D) &  (v9_metric_1(D) & l1_metric_1(D)) ) ) ) )  =>  (! [E] :  (m1_subset_1(E, k4_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D))) =>  (! [F] :  (m1_subset_1(F, k4_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D))) =>  (! [G] :  (m1_subset_1(G, k4_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D))) => r1_xxreal_0(k2_binop_1(k4_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D)), k4_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D)), k1_numbers, k7_metric_3(A, B, C, D), E, G), k3_real_1(k2_binop_1(k4_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D)), k4_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D)), k1_numbers, k7_metric_3(A, B, C, D), E, F), k2_binop_1(k4_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D)), k4_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D)), k1_numbers, k7_metric_3(A, B, C, D), F, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_metric_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v6_metric_1(C) &  (v7_metric_1(C) &  (v8_metric_1(C) &  (v9_metric_1(C) & l1_metric_1(C)) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v6_metric_1(D) &  (v7_metric_1(D) &  (v8_metric_1(D) &  (v9_metric_1(D) & l1_metric_1(D)) ) ) ) )  => k8_metric_3(A, B, C, D)=g1_metric_1(k4_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D)), k7_metric_3(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(d9_metric_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v6_metric_1(C) &  (v7_metric_1(C) &  (v8_metric_1(C) &  (v9_metric_1(C) & l1_metric_1(C)) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v6_metric_1(D) &  (v7_metric_1(D) &  (v8_metric_1(D) &  (v9_metric_1(D) & l1_metric_1(D)) ) ) ) )  =>  (! [E] :  (m1_subset_1(E, k4_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D))) =>  (! [F] :  (m1_subset_1(F, k4_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D))) => k9_metric_3(A, B, C, D, E, F)=k2_binop_1(k4_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D)), k4_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D)), k1_numbers, k7_metric_3(A, B, C, D), E, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_metric_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))), k1_numbers)))) )  =>  (C=k10_metric_3(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_subset_1(H, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))) =>  (! [I] :  (m1_subset_1(I, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))) =>  ( (H=k1_domain_1(u1_struct_0(A), u1_struct_0(B), D, F) & I=k1_domain_1(u1_struct_0(A), u1_struct_0(B), E, G))  => k2_binop_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k1_numbers, C, H, I)=k3_square_1(k2_xcmplx_0(k1_square_1(k3_metric_1(A, D, E)), k1_square_1(k3_metric_1(B, F, G))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_metric_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))) =>  (k2_binop_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k1_numbers, k10_metric_3(A, B), C, D)=k5_numbers <=> C=D) ) ) ) ) ) ) ) ) ).
fof(t11_metric_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))) => k2_binop_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k1_numbers, k10_metric_3(A, B), C, D)=k2_binop_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k1_numbers, k10_metric_3(A, B), D, C)) ) ) ) ) ) ) ) ).
fof(t12_metric_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(k5_numbers, A) &  (r1_xxreal_0(k5_numbers, B) &  (r1_xxreal_0(k5_numbers, C) & r1_xxreal_0(k5_numbers, D)) ) )  => r1_xxreal_0(k3_square_1(k2_xcmplx_0(k1_square_1(k2_xcmplx_0(A, C)), k1_square_1(k2_xcmplx_0(B, D)))), k2_xcmplx_0(k3_square_1(k2_xcmplx_0(k1_square_1(A), k1_square_1(B))), k3_square_1(k2_xcmplx_0(k1_square_1(C), k1_square_1(D)))))) ) ) ) ) ) ) ) ) ).
fof(t13_metric_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))) =>  (! [E] :  (m1_subset_1(E, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))) => r1_xxreal_0(k2_binop_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k1_numbers, k10_metric_3(A, B), C, E), k3_real_1(k2_binop_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k1_numbers, k10_metric_3(A, B), C, D), k2_binop_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k1_numbers, k10_metric_3(A, B), D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(d11_metric_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))) => k11_metric_3(A, B, C, D)=k2_binop_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k1_numbers, k10_metric_3(A, B), C, D)) ) ) ) ) ) ) ) ).
fof(d12_metric_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  => k12_metric_3(A, B)=g1_metric_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k10_metric_3(A, B))) ) ) ) ).
fof(d13_metric_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v6_metric_1(C) &  (v7_metric_1(C) &  (v8_metric_1(C) &  (v9_metric_1(C) & l1_metric_1(C)) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C))), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C))), k1_numbers)))) )  =>  (D=k13_metric_3(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(C)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(C)) =>  (! [K] :  (m1_subset_1(K, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C))) =>  (! [L] :  (m1_subset_1(L, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C))) =>  ( (K=k4_domain_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, G, I) & L=k4_domain_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), F, H, J))  => k2_binop_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k1_numbers, D, K, L)=k3_square_1(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(k3_metric_1(A, E, F)), k1_square_1(k3_metric_1(B, G, H))), k1_square_1(k3_metric_1(C, I, J))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_metric_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v6_metric_1(C) &  (v7_metric_1(C) &  (v8_metric_1(C) &  (v9_metric_1(C) & l1_metric_1(C)) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C))) =>  (! [E] :  (m1_subset_1(E, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C))) =>  (k2_binop_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k1_numbers, k13_metric_3(A, B, C), D, E)=k5_numbers <=> D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_metric_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v6_metric_1(C) &  (v7_metric_1(C) &  (v8_metric_1(C) &  (v9_metric_1(C) & l1_metric_1(C)) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C))) =>  (! [E] :  (m1_subset_1(E, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C))) => k2_binop_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k1_numbers, k13_metric_3(A, B, C), D, E)=k2_binop_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k1_numbers, k13_metric_3(A, B, C), E, D)) ) ) ) ) ) ) ) ) ) ).
fof(t16_metric_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) => r1_xxreal_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, k3_xcmplx_0(A, D)), k3_xcmplx_0(C, B)), k3_xcmplx_0(k3_xcmplx_0(2, k3_xcmplx_0(A, F)), k3_xcmplx_0(E, C))), k3_xcmplx_0(k3_xcmplx_0(2, k3_xcmplx_0(B, F)), k3_xcmplx_0(E, D))), k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(k3_xcmplx_0(A, D)), k1_square_1(k3_xcmplx_0(C, B))), k1_square_1(k3_xcmplx_0(A, F))), k1_square_1(k3_xcmplx_0(E, C))), k1_square_1(k3_xcmplx_0(B, F))), k1_square_1(k3_xcmplx_0(E, D))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_metric_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) => r1_xxreal_0(k1_square_1(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A, C), k3_xcmplx_0(B, D)), k3_xcmplx_0(E, F))), k3_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(A), k1_square_1(B)), k1_square_1(E)), k2_xcmplx_0(k2_xcmplx_0(k1_square_1(C), k1_square_1(D)), k1_square_1(F))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_metric_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v6_metric_1(C) &  (v7_metric_1(C) &  (v8_metric_1(C) &  (v9_metric_1(C) & l1_metric_1(C)) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C))) =>  (! [E] :  (m1_subset_1(E, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C))) =>  (! [F] :  (m1_subset_1(F, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C))) => r1_xxreal_0(k2_binop_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k1_numbers, k13_metric_3(A, B, C), D, F), k3_real_1(k2_binop_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k1_numbers, k13_metric_3(A, B, C), D, E), k2_binop_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k1_numbers, k13_metric_3(A, B, C), E, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_metric_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v6_metric_1(C) &  (v7_metric_1(C) &  (v8_metric_1(C) &  (v9_metric_1(C) & l1_metric_1(C)) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C))) =>  (! [E] :  (m1_subset_1(E, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C))) => k14_metric_3(A, B, C, D, E)=k2_binop_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k1_numbers, k13_metric_3(A, B, C), D, E)) ) ) ) ) ) ) ) ) ) ).
fof(d15_metric_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v6_metric_1(C) &  (v7_metric_1(C) &  (v8_metric_1(C) &  (v9_metric_1(C) & l1_metric_1(C)) ) ) ) )  => k15_metric_3(A, B, C)=g1_metric_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k13_metric_3(A, B, C))) ) ) ) ) ) ).
fof(d16_metric_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers), k2_zfmisc_1(k1_numbers, k1_numbers)), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers), k2_zfmisc_1(k1_numbers, k1_numbers)), k1_numbers)))) )  =>  (A=k16_metric_3 <=>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) =>  (! [D] :  (m1_subset_1(D, k1_numbers) =>  (! [E] :  (m1_subset_1(E, k1_numbers) =>  (! [F] :  (m1_subset_1(F, k2_zfmisc_1(k1_numbers, k1_numbers)) =>  (! [G] :  (m1_subset_1(G, k2_zfmisc_1(k1_numbers, k1_numbers)) =>  ( (F=k1_domain_1(k1_numbers, k1_numbers, B, D) & G=k1_domain_1(k1_numbers, k1_numbers, C, E))  => k2_binop_1(k2_zfmisc_1(k1_numbers, k1_numbers), k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers, A, F, G)=k3_real_1(k4_binop_1(k1_numbers, k6_metric_1, B, C), k4_binop_1(k1_numbers, k6_metric_1, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_metric_3, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k1_numbers, k1_numbers)) =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k1_numbers, k1_numbers)) =>  (k2_binop_1(k2_zfmisc_1(k1_numbers, k1_numbers), k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers, k16_metric_3, A, B)=k5_numbers <=> A=B) ) ) ) ) ).
fof(t20_metric_3, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k1_numbers, k1_numbers)) =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k1_numbers, k1_numbers)) => k2_binop_1(k2_zfmisc_1(k1_numbers, k1_numbers), k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers, k16_metric_3, A, B)=k2_binop_1(k2_zfmisc_1(k1_numbers, k1_numbers), k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers, k16_metric_3, B, A)) ) ) ) ).
fof(t21_metric_3, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k1_numbers, k1_numbers)) =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k1_numbers, k1_numbers)) =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(k1_numbers, k1_numbers)) => r1_xxreal_0(k2_binop_1(k2_zfmisc_1(k1_numbers, k1_numbers), k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers, k16_metric_3, A, C), k3_real_1(k2_binop_1(k2_zfmisc_1(k1_numbers, k1_numbers), k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers, k16_metric_3, A, B), k2_binop_1(k2_zfmisc_1(k1_numbers, k1_numbers), k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers, k16_metric_3, B, C)))) ) ) ) ) ) ).
fof(d17_metric_3, axiom, k17_metric_3=g1_metric_1(k2_zfmisc_1(k1_numbers, k1_numbers), k16_metric_3)).
fof(d18_metric_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers), k2_zfmisc_1(k1_numbers, k1_numbers)), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers), k2_zfmisc_1(k1_numbers, k1_numbers)), k1_numbers)))) )  =>  (A=k18_metric_3 <=>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) =>  (! [D] :  (m1_subset_1(D, k1_numbers) =>  (! [E] :  (m1_subset_1(E, k1_numbers) =>  (! [F] :  (m1_subset_1(F, k2_zfmisc_1(k1_numbers, k1_numbers)) =>  (! [G] :  (m1_subset_1(G, k2_zfmisc_1(k1_numbers, k1_numbers)) =>  ( (F=k1_domain_1(k1_numbers, k1_numbers, B, D) & G=k1_domain_1(k1_numbers, k1_numbers, C, E))  => k2_binop_1(k2_zfmisc_1(k1_numbers, k1_numbers), k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers, A, F, G)=k3_square_1(k2_xcmplx_0(k1_square_1(k4_binop_1(k1_numbers, k6_metric_1, B, C)), k1_square_1(k4_binop_1(k1_numbers, k6_metric_1, D, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_metric_3, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k1_numbers, k1_numbers)) =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k1_numbers, k1_numbers)) =>  (k2_binop_1(k2_zfmisc_1(k1_numbers, k1_numbers), k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers, k18_metric_3, A, B)=k5_numbers <=> A=B) ) ) ) ) ).
fof(t23_metric_3, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k1_numbers, k1_numbers)) =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k1_numbers, k1_numbers)) => k2_binop_1(k2_zfmisc_1(k1_numbers, k1_numbers), k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers, k18_metric_3, A, B)=k2_binop_1(k2_zfmisc_1(k1_numbers, k1_numbers), k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers, k18_metric_3, B, A)) ) ) ) ).
fof(t24_metric_3, axiom,  (! [A] :  (m1_subset_1(A, k2_zfmisc_1(k1_numbers, k1_numbers)) =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k1_numbers, k1_numbers)) =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(k1_numbers, k1_numbers)) => r1_xxreal_0(k2_binop_1(k2_zfmisc_1(k1_numbers, k1_numbers), k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers, k18_metric_3, A, C), k3_real_1(k2_binop_1(k2_zfmisc_1(k1_numbers, k1_numbers), k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers, k18_metric_3, A, B), k2_binop_1(k2_zfmisc_1(k1_numbers, k1_numbers), k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers, k18_metric_3, B, C)))) ) ) ) ) ) ).
fof(d19_metric_3, axiom, k19_metric_3=g1_metric_1(k2_zfmisc_1(k1_numbers, k1_numbers), k18_metric_3)).
fof(d20_metric_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers)), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers)), k1_numbers)))) )  =>  (A=k20_metric_3 <=>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) =>  (! [D] :  (m1_subset_1(D, k1_numbers) =>  (! [E] :  (m1_subset_1(E, k1_numbers) =>  (! [F] :  (m1_subset_1(F, k1_numbers) =>  (! [G] :  (m1_subset_1(G, k1_numbers) =>  (! [H] :  (m1_subset_1(H, k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers)) =>  (! [I] :  (m1_subset_1(I, k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers)) =>  ( (H=k4_domain_1(k1_numbers, k1_numbers, k1_numbers, B, D, F) & I=k4_domain_1(k1_numbers, k1_numbers, k1_numbers, C, E, G))  => k2_binop_1(k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k1_numbers, A, H, I)=k3_real_1(k3_real_1(k4_binop_1(k1_numbers, k6_metric_1, B, C), k4_binop_1(k1_numbers, k6_metric_1, D, E)), k4_binop_1(k1_numbers, k6_metric_1, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_metric_3, axiom,  (! [A] :  (m1_subset_1(A, k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers)) =>  (! [B] :  (m1_subset_1(B, k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers)) =>  (k2_binop_1(k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k1_numbers, k20_metric_3, A, B)=k5_numbers <=> A=B) ) ) ) ) ).
fof(t26_metric_3, axiom,  (! [A] :  (m1_subset_1(A, k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers)) =>  (! [B] :  (m1_subset_1(B, k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers)) => k2_binop_1(k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k1_numbers, k20_metric_3, A, B)=k2_binop_1(k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k1_numbers, k20_metric_3, B, A)) ) ) ) ).
fof(t27_metric_3, axiom,  (! [A] :  (m1_subset_1(A, k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers)) =>  (! [B] :  (m1_subset_1(B, k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers)) =>  (! [C] :  (m1_subset_1(C, k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers)) => r1_xxreal_0(k2_binop_1(k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k1_numbers, k20_metric_3, A, C), k3_real_1(k2_binop_1(k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k1_numbers, k20_metric_3, A, B), k2_binop_1(k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k1_numbers, k20_metric_3, B, C)))) ) ) ) ) ) ).
fof(d21_metric_3, axiom, k21_metric_3=g1_metric_1(k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k20_metric_3)).
fof(d22_metric_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers)), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers)), k1_numbers)))) )  =>  (A=k22_metric_3 <=>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) =>  (! [D] :  (m1_subset_1(D, k1_numbers) =>  (! [E] :  (m1_subset_1(E, k1_numbers) =>  (! [F] :  (m1_subset_1(F, k1_numbers) =>  (! [G] :  (m1_subset_1(G, k1_numbers) =>  (! [H] :  (m1_subset_1(H, k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers)) =>  (! [I] :  (m1_subset_1(I, k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers)) =>  ( (H=k4_domain_1(k1_numbers, k1_numbers, k1_numbers, B, D, F) & I=k4_domain_1(k1_numbers, k1_numbers, k1_numbers, C, E, G))  => k2_binop_1(k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k1_numbers, A, H, I)=k3_square_1(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(k4_binop_1(k1_numbers, k6_metric_1, B, C)), k1_square_1(k4_binop_1(k1_numbers, k6_metric_1, D, E))), k1_square_1(k4_binop_1(k1_numbers, k6_metric_1, F, G))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_metric_3, axiom,  (! [A] :  (m1_subset_1(A, k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers)) =>  (! [B] :  (m1_subset_1(B, k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers)) =>  (k2_binop_1(k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k1_numbers, k22_metric_3, A, B)=k5_numbers <=> A=B) ) ) ) ) ).
fof(t29_metric_3, axiom,  (! [A] :  (m1_subset_1(A, k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers)) =>  (! [B] :  (m1_subset_1(B, k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers)) => k2_binop_1(k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k1_numbers, k22_metric_3, A, B)=k2_binop_1(k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k1_numbers, k22_metric_3, B, A)) ) ) ) ).
fof(t30_metric_3, axiom,  (! [A] :  (m1_subset_1(A, k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers)) =>  (! [B] :  (m1_subset_1(B, k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers)) =>  (! [C] :  (m1_subset_1(C, k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers)) => r1_xxreal_0(k2_binop_1(k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k1_numbers, k22_metric_3, A, C), k3_real_1(k2_binop_1(k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k1_numbers, k22_metric_3, A, B), k2_binop_1(k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k1_numbers, k22_metric_3, B, C)))) ) ) ) ) ) ).
fof(d23_metric_3, axiom, k23_metric_3=g1_metric_1(k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k22_metric_3)).
fof(s1_metric_3, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k2_zfmisc_1(f1_s1_metric_3, f2_s1_metric_3), k2_zfmisc_1(f1_s1_metric_3, f2_s1_metric_3)), f3_s1_metric_3) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(f1_s1_metric_3, f2_s1_metric_3), k2_zfmisc_1(f1_s1_metric_3, f2_s1_metric_3)), f3_s1_metric_3)))) )  &  (! [B] :  (m1_subset_1(B, f1_s1_metric_3) =>  (! [C] :  (m1_subset_1(C, f1_s1_metric_3) =>  (! [D] :  (m1_subset_1(D, f2_s1_metric_3) =>  (! [E] :  (m1_subset_1(E, f2_s1_metric_3) =>  (! [F] :  (m1_subset_1(F, k2_zfmisc_1(f1_s1_metric_3, f2_s1_metric_3)) =>  (! [G] :  (m1_subset_1(G, k2_zfmisc_1(f1_s1_metric_3, f2_s1_metric_3)) =>  ( (F=k1_domain_1(f1_s1_metric_3, f2_s1_metric_3, B, D) & G=k1_domain_1(f1_s1_metric_3, f2_s1_metric_3, C, E))  => k2_binop_1(k2_zfmisc_1(f1_s1_metric_3, f2_s1_metric_3), k2_zfmisc_1(f1_s1_metric_3, f2_s1_metric_3), f3_s1_metric_3, A, F, G)=f4_s1_metric_3(B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s2_metric_3, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k3_zfmisc_1(f1_s2_metric_3, f2_s2_metric_3, f3_s2_metric_3), k3_zfmisc_1(f1_s2_metric_3, f2_s2_metric_3, f3_s2_metric_3)), f4_s2_metric_3) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(f1_s2_metric_3, f2_s2_metric_3, f3_s2_metric_3), k3_zfmisc_1(f1_s2_metric_3, f2_s2_metric_3, f3_s2_metric_3)), f4_s2_metric_3)))) )  &  (! [B] :  (m1_subset_1(B, f1_s2_metric_3) =>  (! [C] :  (m1_subset_1(C, f1_s2_metric_3) =>  (! [D] :  (m1_subset_1(D, f2_s2_metric_3) =>  (! [E] :  (m1_subset_1(E, f2_s2_metric_3) =>  (! [F] :  (m1_subset_1(F, f3_s2_metric_3) =>  (! [G] :  (m1_subset_1(G, f3_s2_metric_3) =>  (! [H] :  (m1_subset_1(H, k3_zfmisc_1(f1_s2_metric_3, f2_s2_metric_3, f3_s2_metric_3)) =>  (! [I] :  (m1_subset_1(I, k3_zfmisc_1(f1_s2_metric_3, f2_s2_metric_3, f3_s2_metric_3)) =>  ( (H=k4_domain_1(f1_s2_metric_3, f2_s2_metric_3, f3_s2_metric_3, B, D, F) & I=k4_domain_1(f1_s2_metric_3, f2_s2_metric_3, f3_s2_metric_3, C, E, G))  => k2_binop_1(k3_zfmisc_1(f1_s2_metric_3, f2_s2_metric_3, f3_s2_metric_3), k3_zfmisc_1(f1_s2_metric_3, f2_s2_metric_3, f3_s2_metric_3), f4_s2_metric_3, A, H, I)=f5_s2_metric_3(B, C, D, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s3_metric_3, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_zfmisc_1(f1_s3_metric_3, f2_s3_metric_3, f3_s3_metric_3, f4_s3_metric_3), k4_zfmisc_1(f1_s3_metric_3, f2_s3_metric_3, f3_s3_metric_3, f4_s3_metric_3)), f5_s3_metric_3) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_zfmisc_1(f1_s3_metric_3, f2_s3_metric_3, f3_s3_metric_3, f4_s3_metric_3), k4_zfmisc_1(f1_s3_metric_3, f2_s3_metric_3, f3_s3_metric_3, f4_s3_metric_3)), f5_s3_metric_3)))) )  &  (! [B] :  (m1_subset_1(B, f1_s3_metric_3) =>  (! [C] :  (m1_subset_1(C, f1_s3_metric_3) =>  (! [D] :  (m1_subset_1(D, f2_s3_metric_3) =>  (! [E] :  (m1_subset_1(E, f2_s3_metric_3) =>  (! [F] :  (m1_subset_1(F, f3_s3_metric_3) =>  (! [G] :  (m1_subset_1(G, f3_s3_metric_3) =>  (! [H] :  (m1_subset_1(H, f4_s3_metric_3) =>  (! [I] :  (m1_subset_1(I, f4_s3_metric_3) =>  (! [J] :  (m1_subset_1(J, k4_zfmisc_1(f1_s3_metric_3, f2_s3_metric_3, f3_s3_metric_3, f4_s3_metric_3)) =>  (! [K] :  (m1_subset_1(K, k4_zfmisc_1(f1_s3_metric_3, f2_s3_metric_3, f3_s3_metric_3, f4_s3_metric_3)) =>  ( (J=k5_domain_1(f1_s3_metric_3, f2_s3_metric_3, f3_s3_metric_3, f4_s3_metric_3, B, D, F, H) & K=k5_domain_1(f1_s3_metric_3, f2_s3_metric_3, f3_s3_metric_3, f4_s3_metric_3, C, E, G, I))  => k2_binop_1(k4_zfmisc_1(f1_s3_metric_3, f2_s3_metric_3, f3_s3_metric_3, f4_s3_metric_3), k4_zfmisc_1(f1_s3_metric_3, f2_s3_metric_3, f3_s3_metric_3, f4_s3_metric_3), f5_s3_metric_3, A, J, K)=f6_s3_metric_3(B, C, D, E, F, G, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_f1_s1_metric_3, axiom,  ~ (v1_xboole_0(f1_s1_metric_3)) ).
fof(dt_f2_s1_metric_3, axiom,  ~ (v1_xboole_0(f2_s1_metric_3)) ).
fof(dt_f3_s1_metric_3, axiom,  ~ (v1_xboole_0(f3_s1_metric_3)) ).
fof(dt_f4_s1_metric_3, axiom,  (! [A, B, C, D] : m1_subset_1(f4_s1_metric_3(A, B, C, D), f3_s1_metric_3)) ).
fof(dt_k1_metric_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) ) )  =>  (v1_funct_1(k1_metric_3(A, B)) &  (v1_funct_2(k1_metric_3(A, B), k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))), k1_numbers) & m1_subset_1(k1_metric_3(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))), k1_numbers)))) ) ) ) ).
fof(dt_k2_metric_3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  &  (m1_subset_1(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))) & m1_subset_1(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) ) )  => v1_xreal_0(k2_metric_3(A, B, C, D))) ) ).
fof(dt_k3_metric_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) ) )  =>  ( ~ (v2_struct_0(k3_metric_3(A, B)))  &  (v1_metric_1(k3_metric_3(A, B)) &  (v6_metric_1(k3_metric_3(A, B)) &  (v7_metric_1(k3_metric_3(A, B)) &  (v8_metric_1(k3_metric_3(A, B)) &  (v9_metric_1(k3_metric_3(A, B)) & l1_metric_1(k3_metric_3(A, B))) ) ) ) ) ) ) ) ).
fof(dt_f1_s2_metric_3, axiom,  ~ (v1_xboole_0(f1_s2_metric_3)) ).
fof(dt_f2_s2_metric_3, axiom,  ~ (v1_xboole_0(f2_s2_metric_3)) ).
fof(dt_f3_s2_metric_3, axiom,  ~ (v1_xboole_0(f3_s2_metric_3)) ).
fof(dt_f4_s2_metric_3, axiom,  ~ (v1_xboole_0(f4_s2_metric_3)) ).
fof(dt_f5_s2_metric_3, axiom,  (! [A, B, C, D, E, F] : m1_subset_1(f5_s2_metric_3(A, B, C, D, E, F), f4_s2_metric_3)) ).
fof(dt_k4_metric_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  &  ( ~ (v2_struct_0(C))  &  (v6_metric_1(C) &  (v7_metric_1(C) &  (v8_metric_1(C) &  (v9_metric_1(C) & l1_metric_1(C)) ) ) ) ) ) )  =>  (v1_funct_1(k4_metric_3(A, B, C)) &  (v1_funct_2(k4_metric_3(A, B, C), k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C))), k1_numbers) & m1_subset_1(k4_metric_3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C))), k1_numbers)))) ) ) ) ).
fof(dt_k5_metric_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  &  ( ~ (v2_struct_0(C))  &  (v6_metric_1(C) &  (v7_metric_1(C) &  (v8_metric_1(C) &  (v9_metric_1(C) & l1_metric_1(C)) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k5_metric_3(A, B, C)))  &  (v1_metric_1(k5_metric_3(A, B, C)) &  (v6_metric_1(k5_metric_3(A, B, C)) &  (v7_metric_1(k5_metric_3(A, B, C)) &  (v8_metric_1(k5_metric_3(A, B, C)) &  (v9_metric_1(k5_metric_3(A, B, C)) & l1_metric_1(k5_metric_3(A, B, C))) ) ) ) ) ) ) ) ).
fof(dt_k6_metric_3, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v6_metric_1(C) &  (v7_metric_1(C) &  (v8_metric_1(C) &  (v9_metric_1(C) & l1_metric_1(C)) ) ) ) )  &  (m1_subset_1(D, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C))) & m1_subset_1(E, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)))) ) ) )  => v1_xreal_0(k6_metric_3(A, B, C, D, E))) ) ).
fof(dt_f1_s3_metric_3, axiom,  ~ (v1_xboole_0(f1_s3_metric_3)) ).
fof(dt_f2_s3_metric_3, axiom,  ~ (v1_xboole_0(f2_s3_metric_3)) ).
fof(dt_f3_s3_metric_3, axiom,  ~ (v1_xboole_0(f3_s3_metric_3)) ).
fof(dt_f4_s3_metric_3, axiom,  ~ (v1_xboole_0(f4_s3_metric_3)) ).
fof(dt_f5_s3_metric_3, axiom,  ~ (v1_xboole_0(f5_s3_metric_3)) ).
fof(dt_f6_s3_metric_3, axiom,  (! [A, B, C, D, E, F, G, H] : m1_subset_1(f6_s3_metric_3(A, B, C, D, E, F, G, H), f5_s3_metric_3)) ).
fof(dt_k7_metric_3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v6_metric_1(C) &  (v7_metric_1(C) &  (v8_metric_1(C) &  (v9_metric_1(C) & l1_metric_1(C)) ) ) ) )  &  ( ~ (v2_struct_0(D))  &  (v6_metric_1(D) &  (v7_metric_1(D) &  (v8_metric_1(D) &  (v9_metric_1(D) & l1_metric_1(D)) ) ) ) ) ) ) )  =>  (v1_funct_1(k7_metric_3(A, B, C, D)) &  (v1_funct_2(k7_metric_3(A, B, C, D), k2_zfmisc_1(k4_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D)), k4_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D))), k1_numbers) & m1_subset_1(k7_metric_3(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D)), k4_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D))), k1_numbers)))) ) ) ) ).
fof(dt_k8_metric_3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v6_metric_1(C) &  (v7_metric_1(C) &  (v8_metric_1(C) &  (v9_metric_1(C) & l1_metric_1(C)) ) ) ) )  &  ( ~ (v2_struct_0(D))  &  (v6_metric_1(D) &  (v7_metric_1(D) &  (v8_metric_1(D) &  (v9_metric_1(D) & l1_metric_1(D)) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k8_metric_3(A, B, C, D)))  &  (v1_metric_1(k8_metric_3(A, B, C, D)) &  (v6_metric_1(k8_metric_3(A, B, C, D)) &  (v7_metric_1(k8_metric_3(A, B, C, D)) &  (v8_metric_1(k8_metric_3(A, B, C, D)) &  (v9_metric_1(k8_metric_3(A, B, C, D)) & l1_metric_1(k8_metric_3(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(dt_k9_metric_3, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v6_metric_1(C) &  (v7_metric_1(C) &  (v8_metric_1(C) &  (v9_metric_1(C) & l1_metric_1(C)) ) ) ) )  &  ( ( ~ (v2_struct_0(D))  &  (v6_metric_1(D) &  (v7_metric_1(D) &  (v8_metric_1(D) &  (v9_metric_1(D) & l1_metric_1(D)) ) ) ) )  &  (m1_subset_1(E, k4_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D))) & m1_subset_1(F, k4_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), u1_struct_0(D)))) ) ) ) )  => v1_xreal_0(k9_metric_3(A, B, C, D, E, F))) ) ).
fof(dt_k10_metric_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) ) )  =>  (v1_funct_1(k10_metric_3(A, B)) &  (v1_funct_2(k10_metric_3(A, B), k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))), k1_numbers) & m1_subset_1(k10_metric_3(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))), k1_numbers)))) ) ) ) ).
fof(dt_k11_metric_3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  &  (m1_subset_1(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))) & m1_subset_1(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) ) )  => v1_xreal_0(k11_metric_3(A, B, C, D))) ) ).
fof(dt_k12_metric_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) ) )  =>  ( ~ (v2_struct_0(k12_metric_3(A, B)))  &  (v1_metric_1(k12_metric_3(A, B)) &  (v6_metric_1(k12_metric_3(A, B)) &  (v7_metric_1(k12_metric_3(A, B)) &  (v8_metric_1(k12_metric_3(A, B)) &  (v9_metric_1(k12_metric_3(A, B)) & l1_metric_1(k12_metric_3(A, B))) ) ) ) ) ) ) ) ).
fof(dt_k13_metric_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  &  ( ~ (v2_struct_0(C))  &  (v6_metric_1(C) &  (v7_metric_1(C) &  (v8_metric_1(C) &  (v9_metric_1(C) & l1_metric_1(C)) ) ) ) ) ) )  =>  (v1_funct_1(k13_metric_3(A, B, C)) &  (v1_funct_2(k13_metric_3(A, B, C), k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C))), k1_numbers) & m1_subset_1(k13_metric_3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C))), k1_numbers)))) ) ) ) ).
fof(dt_k14_metric_3, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v6_metric_1(C) &  (v7_metric_1(C) &  (v8_metric_1(C) &  (v9_metric_1(C) & l1_metric_1(C)) ) ) ) )  &  (m1_subset_1(D, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C))) & m1_subset_1(E, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C)))) ) ) )  => v1_xreal_0(k14_metric_3(A, B, C, D, E))) ) ).
fof(dt_k15_metric_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  &  ( ~ (v2_struct_0(C))  &  (v6_metric_1(C) &  (v7_metric_1(C) &  (v8_metric_1(C) &  (v9_metric_1(C) & l1_metric_1(C)) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k15_metric_3(A, B, C)))  &  (v1_metric_1(k15_metric_3(A, B, C)) &  (v6_metric_1(k15_metric_3(A, B, C)) &  (v7_metric_1(k15_metric_3(A, B, C)) &  (v8_metric_1(k15_metric_3(A, B, C)) &  (v9_metric_1(k15_metric_3(A, B, C)) & l1_metric_1(k15_metric_3(A, B, C))) ) ) ) ) ) ) ) ).
fof(dt_k16_metric_3, axiom,  (v1_funct_1(k16_metric_3) &  (v1_funct_2(k16_metric_3, k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers), k2_zfmisc_1(k1_numbers, k1_numbers)), k1_numbers) & m1_subset_1(k16_metric_3, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers), k2_zfmisc_1(k1_numbers, k1_numbers)), k1_numbers)))) ) ).
fof(dt_k17_metric_3, axiom,  ( ~ (v2_struct_0(k17_metric_3))  &  (v1_metric_1(k17_metric_3) &  (v6_metric_1(k17_metric_3) &  (v7_metric_1(k17_metric_3) &  (v8_metric_1(k17_metric_3) &  (v9_metric_1(k17_metric_3) & l1_metric_1(k17_metric_3)) ) ) ) ) ) ).
fof(dt_k18_metric_3, axiom,  (v1_funct_1(k18_metric_3) &  (v1_funct_2(k18_metric_3, k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers), k2_zfmisc_1(k1_numbers, k1_numbers)), k1_numbers) & m1_subset_1(k18_metric_3, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers), k2_zfmisc_1(k1_numbers, k1_numbers)), k1_numbers)))) ) ).
fof(dt_k19_metric_3, axiom,  ( ~ (v2_struct_0(k19_metric_3))  &  (v1_metric_1(k19_metric_3) &  (v6_metric_1(k19_metric_3) &  (v7_metric_1(k19_metric_3) &  (v8_metric_1(k19_metric_3) &  (v9_metric_1(k19_metric_3) & l1_metric_1(k19_metric_3)) ) ) ) ) ) ).
fof(dt_k20_metric_3, axiom,  (v1_funct_1(k20_metric_3) &  (v1_funct_2(k20_metric_3, k2_zfmisc_1(k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers)), k1_numbers) & m1_subset_1(k20_metric_3, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers)), k1_numbers)))) ) ).
fof(dt_k21_metric_3, axiom,  ( ~ (v2_struct_0(k21_metric_3))  &  (v1_metric_1(k21_metric_3) &  (v6_metric_1(k21_metric_3) &  (v7_metric_1(k21_metric_3) &  (v8_metric_1(k21_metric_3) &  (v9_metric_1(k21_metric_3) & l1_metric_1(k21_metric_3)) ) ) ) ) ) ).
fof(dt_k22_metric_3, axiom,  (v1_funct_1(k22_metric_3) &  (v1_funct_2(k22_metric_3, k2_zfmisc_1(k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers)), k1_numbers) & m1_subset_1(k22_metric_3, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers), k3_zfmisc_1(k1_numbers, k1_numbers, k1_numbers)), k1_numbers)))) ) ).
fof(dt_k23_metric_3, axiom,  ( ~ (v2_struct_0(k23_metric_3))  &  (v1_metric_1(k23_metric_3) &  (v6_metric_1(k23_metric_3) &  (v7_metric_1(k23_metric_3) &  (v8_metric_1(k23_metric_3) &  (v9_metric_1(k23_metric_3) & l1_metric_1(k23_metric_3)) ) ) ) ) ) ).
fof(cc1_metric_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) =>  ( (v1_funct_1(B) &  (v3_funct_1(B) & v1_funct_2(B, k4_ordinal1, u1_struct_0(A))) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & v2_tbsp_1(B, A)) ) ) ) ) ) ) ).
fof(cc2_metric_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & v3_tbsp_1(B, A)) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & v1_metric_6(B, A)) ) ) ) ) ) ) ).
fof(rc1_metric_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v3_funct_1(B) &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v2_tbsp_1(B, A) &  (v3_tbsp_1(B, A) & v1_metric_6(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_metric_6, axiom,  (! [A] :  ( (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k3_metric_1(A, B, D), k3_metric_1(A, C, D))), k3_metric_1(A, B, C))) ) ) ) ) ) ) ) ).
fof(t2_metric_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) )  =>  (r1_pcomps_1(A, B) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) => r1_xxreal_0(k5_numbers, k2_binop_1(A, A, k1_numbers, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t3_metric_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) )  =>  (r1_pcomps_1(A, B) <=>  (v2_metric_1(B, A) &  (v3_metric_1(B, A) &  (v4_metric_1(B, A) & v5_metric_1(B, A)) ) ) ) ) ) ) ) ).
fof(t4_metric_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_metric_1(A) &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) ) )  =>  (v2_metric_1(u1_metric_1(A), u1_struct_0(A)) &  (v3_metric_1(u1_metric_1(A), u1_struct_0(A)) &  (v4_metric_1(u1_metric_1(A), u1_struct_0(A)) & v5_metric_1(u1_metric_1(A), u1_struct_0(A))) ) ) ) ) ).
fof(t5_metric_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) )  =>  (r1_pcomps_1(A, B) <=>  (v2_metric_1(B, A) &  (v3_metric_1(B, A) &  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) => r1_xxreal_0(k2_binop_1(A, A, k1_numbers, B, D, E), k3_real_1(k2_binop_1(A, A, k1_numbers, B, C, D), k2_binop_1(A, A, k1_numbers, B, C, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_metric_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) )  =>  (C=k1_metric_6(A, B) <=>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) => k2_binop_1(A, A, k1_numbers, C, D, E)=k7_xcmplx_0(k2_binop_1(A, A, k1_numbers, B, D, E), k2_xcmplx_0(1, k2_binop_1(A, A, k1_numbers, B, D, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_metric_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) )  =>  (r1_pcomps_1(A, B) => r1_pcomps_1(A, k1_metric_6(A, B))) ) ) ) ) ).
fof(t7_metric_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  & k10_xtuple_0(C)=k6_domain_1(u1_struct_0(A), B)) ) ) ) ) ) ).
fof(d2_metric_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_metric_6(A, B, C) <=>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v7_ordinal1(E) =>  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(E, F) & r1_xxreal_0(D, k1_metric_1(A, k8_nat_1(u1_struct_0(A), B, F), C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_metric_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v6_tbsp_1(B, A) <=>  (? [C] :  (v1_xreal_0(C) &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  ( ~ (r1_xxreal_0(C, k5_numbers))  & r1_tarski(B, k8_metric_1(A, D, C))) ) ) ) ) ) ) ) ) ) ).
fof(d4_metric_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_metric_6(B, A) <=>  (? [C] :  (v1_xreal_0(C) &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  ( ~ (r1_xxreal_0(C, k5_numbers))  & r1_tarski(k10_xtuple_0(B), k8_metric_1(A, D, C))) ) ) ) ) ) ) ) ) ) ).
fof(d5_metric_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (r2_metric_6(A, B, C) <=>  (? [D] :  (v7_ordinal1(D) &  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(D, E) => r2_tarski(k8_nat_1(u1_struct_0(A), C, E), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_metric_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_metric_6(B, A) <=>  (? [C] :  (v1_xreal_0(C) &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [E] :  (v7_ordinal1(E) => r2_tarski(k8_nat_1(u1_struct_0(A), B, E), k8_metric_1(A, D, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_metric_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (r1_metric_6(A, C, B) => v2_tbsp_1(C, A)) ) ) ) ) ) ) ).
fof(t10_metric_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ~ ( (v2_tbsp_1(B, A) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ (r1_metric_6(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(d6_metric_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (D=k2_metric_6(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) => k8_nat_1(k1_numbers, D, E)=k3_metric_1(A, k8_nat_1(u1_struct_0(A), B, E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_metric_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (D=k3_metric_6(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) => k8_nat_1(k1_numbers, D, E)=k3_metric_1(A, k8_nat_1(u1_struct_0(A), B, E), k8_nat_1(u1_struct_0(A), C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_metric_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (r1_metric_6(A, C, B) => k1_tbsp_1(A, C)=B) ) ) ) ) ) ) ).
fof(t12_metric_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (r1_metric_6(A, C, B) <=>  (v2_tbsp_1(C, A) & k1_tbsp_1(A, C)=B) ) ) ) ) ) ) ) ).
fof(t13_metric_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ~ ( (v2_tbsp_1(B, A) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r1_metric_6(A, B, C) & k1_tbsp_1(A, B)=C) ) ) ) ) ) ) ) ) ) ).
fof(t14_metric_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (r1_metric_6(A, C, B) <=>  (v2_comseq_2(k2_metric_6(A, C, B)) & k1_seq_2(k2_metric_6(A, C, B))=k5_numbers) ) ) ) ) ) ) ) ).
fof(t15_metric_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (r1_metric_6(A, C, B) =>  (! [D] :  (v1_xreal_0(D) =>  ( ~ (r1_xxreal_0(D, k5_numbers))  => r2_metric_6(A, k8_metric_1(A, B, D), C)) ) ) ) ) ) ) ) ) ) ).
fof(t16_metric_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ( ~ (r1_xxreal_0(D, k5_numbers))  => r2_metric_6(A, k8_metric_1(A, B, D), C)) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r2_tarski(B, D) & r2_tarski(D, k2_pcomps_1(A)))  => r2_metric_6(A, D, C)) ) ) ) ) ) ) ) ) ) ).
fof(t17_metric_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r2_tarski(B, D) & r2_tarski(D, k2_pcomps_1(A)))  => r2_metric_6(A, D, C)) ) )  => r1_metric_6(A, C, B)) ) ) ) ) ) ) ).
fof(t18_metric_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (r1_metric_6(A, C, B) <=>  (! [D] :  (v1_xreal_0(D) =>  ( ~ (r1_xxreal_0(D, k5_numbers))  => r2_metric_6(A, k8_metric_1(A, B, D), C)) ) ) ) ) ) ) ) ) ) ).
fof(t19_metric_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (r1_metric_6(A, C, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r2_tarski(B, D) & r2_tarski(D, k2_pcomps_1(A)))  => r2_metric_6(A, D, C)) ) ) ) ) ) ) ) ) ) ).
fof(t20_metric_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ( ~ (r1_xxreal_0(D, k5_numbers))  => r2_metric_6(A, k8_metric_1(A, B, D), C)) ) )  <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r2_tarski(B, D) & r2_tarski(D, k2_pcomps_1(A)))  => r2_metric_6(A, D, C)) ) ) ) ) ) ) ) ) ) ).
fof(t21_metric_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v2_tbsp_1(B, A) & v2_tbsp_1(C, A))  => k3_metric_1(A, k1_tbsp_1(A, B), k1_tbsp_1(A, C))=k1_seq_2(k3_metric_6(A, B, C))) ) ) ) ) ) ) ).
fof(t22_metric_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (r1_metric_6(A, D, B) & r1_metric_6(A, D, C))  => B=C) ) ) ) ) ) ) ) ) ).
fof(t23_metric_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v3_funct_1(B) => v2_tbsp_1(B, A)) ) ) ) ) ).
fof(t24_metric_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (r1_metric_6(A, C, B) & m2_valued_0(D, u1_struct_0(A), C))  => r1_metric_6(A, D, B)) ) ) ) ) ) ) ) ) ).
fof(t25_metric_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v3_tbsp_1(B, A) & m2_valued_0(C, u1_struct_0(A), B))  => v3_tbsp_1(C, A)) ) ) ) ) ) ) ).
fof(t26_metric_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v3_funct_1(B) => v3_tbsp_1(B, A)) ) ) ) ) ).
fof(t27_metric_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v2_tbsp_1(B, A) => v1_metric_6(B, A)) ) ) ) ) ).
fof(t28_metric_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v3_tbsp_1(B, A) => v1_metric_6(B, A)) ) ) ) ) ).
fof(t29_metric_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  =>  (! [B] :  ( (v6_tbsp_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, k5_numbers))  & r1_tarski(B, k8_metric_1(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(dt_k1_metric_6, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) )  =>  (v1_funct_1(k1_metric_6(A, B)) &  (v1_funct_2(k1_metric_6(A, B), k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(k1_metric_6(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) ) ) ) ).
fof(dt_k2_metric_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  & m1_subset_1(C, u1_struct_0(A))) )  =>  (v1_funct_1(k2_metric_6(A, B, C)) &  (v1_funct_2(k2_metric_6(A, B, C), k4_ordinal1, k1_numbers) & m1_subset_1(k2_metric_6(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k3_metric_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (v1_funct_1(k3_metric_6(A, B, C)) &  (v1_funct_2(k3_metric_6(A, B, C), k4_ordinal1, k1_numbers) & m1_subset_1(k3_metric_6(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(cc1_metrizts, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( (v2_struct_0(A) & v2_pre_topc(A))  =>  (v2_pre_topc(A) & v3_pcomps_1(A)) ) ) ) ).
fof(cc2_metrizts, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( (v2_pre_topc(A) & v3_pcomps_1(A))  =>  (v2_pre_topc(A) & v12_pre_topc(A)) ) ) ) ).
fof(fc1_metrizts, axiom,  (! [A] :  ( (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) )  => v3_pcomps_1(k3_pcomps_1(A))) ) ).
fof(fc2_metrizts, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) &  (v3_pcomps_1(A) & l1_pre_topc(A)) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_pre_topc(k1_pre_topc(A, B)) & v3_pcomps_1(k1_pre_topc(A, B))) ) ) ).
fof(fc3_metrizts, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) &  (v3_pcomps_1(A) & l1_pre_topc(A)) )  &  (v2_pre_topc(B) &  (v3_pcomps_1(B) & l1_pre_topc(B)) ) )  =>  (v1_pre_topc(k2_borsuk_1(A, B)) &  (v2_pre_topc(k2_borsuk_1(A, B)) & v3_pcomps_1(k2_borsuk_1(A, B))) ) ) ) ).
fof(fc4_metrizts, axiom,  (! [A] :  ( (v2_struct_0(A) &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v1_xboole_0(k2_waybel23(A)) & v1_card_1(k2_waybel23(A))) ) ) ).
fof(fc5_metrizts, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) &  (v5_waybel23(A) & l1_pre_topc(A)) )  &  (v2_pre_topc(B) &  (v5_waybel23(B) & l1_pre_topc(B)) ) )  =>  (v1_pre_topc(k2_borsuk_1(A, B)) &  (v2_pre_topc(k2_borsuk_1(A, B)) & v5_waybel23(k2_borsuk_1(A, B))) ) ) ) ).
fof(fc6_metrizts, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) &  (v5_waybel23(A) & l1_pre_topc(A)) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_pre_topc(k1_pre_topc(A, B)) & v5_waybel23(k1_pre_topc(A, B))) ) ) ).
fof(fc7_metrizts, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) )  =>  (v1_funct_1(k6_weierstr(A, B)) &  (v1_funct_2(k6_weierstr(A, B), u1_struct_0(k3_pcomps_1(A)), u1_struct_0(k3_topmetr)) & v5_pre_topc(k6_weierstr(A, B), k3_pcomps_1(A), k3_topmetr)) ) ) ) ).
fof(cc3_metrizts, axiom,  (! [A] :  ( (v2_pre_topc(A) &  (v3_pcomps_1(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_pre_topc(B, A) => v5_topgen_4(B, A)) ) ) ) ) ).
fof(cc4_metrizts, axiom,  (! [A] :  ( (v2_pre_topc(A) &  (v3_pcomps_1(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v4_pre_topc(B, A) => v6_topgen_4(B, A)) ) ) ) ) ).
fof(cc5_metrizts, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( (v2_pre_topc(A) &  (v3_pcomps_1(A) & v1_metrizts(A)) )  =>  (v2_pre_topc(A) &  (v5_waybel23(A) & v3_pcomps_1(A)) ) ) ) ) ).
fof(cc6_metrizts, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( (v2_pre_topc(A) &  (v3_pcomps_1(A) & v1_metrizts(A)) )  =>  (v2_pre_topc(A) &  (v7_topgen_1(A) & v3_pcomps_1(A)) ) ) ) ) ).
fof(cc7_metrizts, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( (v2_pre_topc(A) &  (v7_topgen_1(A) & v3_pcomps_1(A)) )  =>  (v2_pre_topc(A) &  (v3_pcomps_1(A) & v1_metrizts(A)) ) ) ) ) ).
fof(rc1_metrizts, axiom,  (? [A] :  (l1_pre_topc(A) &  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v3_pcomps_1(A) & v1_metrizts(A)) ) ) ) ) ).
fof(cc8_metrizts, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( (v2_pre_topc(A) & v5_waybel23(A))  =>  (v2_pre_topc(A) & v1_metrizts(A)) ) ) ) ).
fof(cc9_metrizts, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( (v2_pre_topc(A) &  (v9_pre_topc(A) & v1_metrizts(A)) )  =>  (v2_pre_topc(A) & v10_pre_topc(A)) ) ) ) ).
fof(cc10_metrizts, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( (v2_pre_topc(A) & v1_orders_4(A))  =>  (v2_pre_topc(A) & v1_metrizts(A)) ) ) ) ).
fof(fc8_metrizts, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_pre_topc(g1_pre_topc(u1_struct_0(k15_euclid(A)), u1_pre_topc(k15_euclid(A)))) & v5_waybel23(g1_pre_topc(u1_struct_0(k15_euclid(A)), u1_pre_topc(k15_euclid(A))))) ) ) ).
fof(fc9_metrizts, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) &  (v1_metrizts(A) & l1_pre_topc(A)) )  &  (v4_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (v1_pre_topc(k1_pre_topc(A, B)) & v1_metrizts(k1_pre_topc(A, B))) ) ) ).
fof(fc10_metrizts, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) &  (v3_pcomps_1(A) &  (v1_metrizts(A) & l1_pre_topc(A)) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_pre_topc(k1_pre_topc(A, B)) & v1_metrizts(k1_pre_topc(A, B))) ) ) ).
fof(d1_metrizts, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (r1_metrizts(A, B, C, D) <=> r1_borsuk_3(k1_pre_topc(A, C), k1_pre_topc(B, D))) ) ) ) ) ) ) ) ) ).
fof(t1_metrizts, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (r1_borsuk_3(A, B) <=> r1_metrizts(A, B, k2_struct_0(A), k2_struct_0(B))) ) ) ) ) ).
fof(t2_metrizts, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v3_tops_2(D, A, B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k1_pre_topc(A, C)), u1_struct_0(k1_pre_topc(B, k7_relset_1(u1_struct_0(A), u1_struct_0(B), D, C)))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(A, C)), u1_struct_0(k1_pre_topc(B, k7_relset_1(u1_struct_0(A), u1_struct_0(B), D, C))))))) )  =>  (E=k5_relset_1(u1_struct_0(A), u1_struct_0(B), D, C) => v3_tops_2(E, k1_pre_topc(A, C), k1_pre_topc(B, k7_relset_1(u1_struct_0(A), u1_struct_0(B), D, C)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_metrizts, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v3_tops_2(D, A, B) => r1_metrizts(A, B, C, k7_relset_1(u1_struct_0(A), u1_struct_0(B), D, C))) ) ) ) ) ) ) ) ) ).
fof(t4_metrizts, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (r1_borsuk_3(A, B) => k2_waybel23(A)=k2_waybel23(B)) ) ) ) ) ).
fof(t5_metrizts, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  => r1_ordinal1(k2_waybel23(k2_borsuk_1(A, B)), k2_card_2(k2_waybel23(A), k2_waybel23(B)))) ) ) ) ).
fof(t6_metrizts, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  ~ ( ( ~ (v2_struct_0(A))  &  ( ~ (v2_struct_0(B))  &  ~ ( (r1_ordinal1(k2_waybel23(A), k2_waybel23(k2_borsuk_1(A, B))) & r1_ordinal1(k2_waybel23(B), k2_waybel23(k2_borsuk_1(A, B)))) ) ) ) ) ) ) ) ) ).
fof(t7_metrizts, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => r1_ordinal1(k1_card_1(k1_tops_2(A, B, C)), k1_card_1(C))) ) ) ) ) ) ).
fof(t8_metrizts, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v1_cantor_1(C, A) &  (v1_tops_2(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) )  =>  (v1_cantor_1(k1_tops_2(A, B, C), k1_pre_topc(A, B)) &  (v1_tops_2(k1_tops_2(A, B, C), k1_pre_topc(A, B)) & m1_subset_1(k1_tops_2(A, B, C), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k1_pre_topc(A, B)))))) ) ) ) ) ) ) ) ).
fof(t9_metrizts, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k1_pre_topc(A, B)))) =>  (D=C => k1_pre_topc(k1_pre_topc(A, B), D)=k1_pre_topc(A, C)) ) ) ) ) ) ) ) ) ).
fof(t10_metrizts, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k1_pre_topc(A, C)))) =>  ( (v5_topgen_4(B, A) & D=k9_subset_1(u1_struct_0(A), B, C))  => v5_topgen_4(D, k1_pre_topc(A, C))) ) ) ) ) ) ) ) ) ).
fof(t11_metrizts, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k1_pre_topc(A, C)))) =>  ( (v6_topgen_4(B, A) & D=k9_subset_1(u1_struct_0(A), B, C))  => v6_topgen_4(D, k1_pre_topc(A, C))) ) ) ) ) ) ) ) ) ).
fof(t12_metrizts, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v7_pre_topc(A) & v2_tex_2(B, A))  =>  (v3_pre_topc(B, k1_pre_topc(A, k2_pre_topc(A, B))) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_pre_topc(A, k2_pre_topc(A, B)))))) ) ) ) ) ) ).
fof(t13_metrizts, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  ( (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) =>  ~ ( (v1_tops_2(C, B) &  (m1_setfam_1(C, u1_struct_0(B)) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) =>  ~ ( (r1_tarski(D, C) &  (m1_setfam_1(D, u1_struct_0(B)) & r1_ordinal1(k1_card_1(D), A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  ( (v4_pre_topc(C, B) & v2_tex_2(C, B))  => r1_ordinal1(k1_card_1(C), A)) ) ) ) ) ) ) ) ).
fof(t14_metrizts, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v1_card_1(A))  =>  (! [B] :  ( (v2_pre_topc(B) &  (v3_pcomps_1(B) & l1_pre_topc(B)) )  =>  ( (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  ( (v4_pre_topc(C, B) & v2_tex_2(C, B))  => r1_ordinal1(k1_card_1(C), A)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (v2_tex_2(C, B) => r1_ordinal1(k1_card_1(C), A)) ) ) ) ) ) ) ) ).
fof(t15_metrizts, axiom,  (! [A] :  (v1_card_1(A) =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  ( (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (v2_tex_2(C, B) => r1_ordinal1(k1_card_1(C), A)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) =>  ( (v1_tops_2(C, B) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) =>  ( (r2_tarski(D, C) & r2_tarski(E, C))  =>  (D=E | r1_xboole_0(D, E)) ) ) ) ) ) )  =>  (r2_tarski(k1_xboole_0, C) | r1_ordinal1(k1_card_1(C), A)) ) ) ) ) ) ) ) ) ).
fof(t16_metrizts, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ~ ( (m1_setfam_1(B, u1_struct_0(A)) &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ~ ( (r1_tarski(C, B) &  (m1_setfam_1(C, u1_struct_0(A)) & r1_ordinal1(k1_card_1(C), k1_card_1(k2_struct_0(A)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_metrizts, axiom,  (! [A] :  ( (v2_pre_topc(A) &  (v3_pcomps_1(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_tops_1(B, A) => r1_ordinal1(k2_waybel23(A), k2_card_2(k4_ordinal1, k1_card_1(B)))) ) ) ) ) ).
fof(t18_metrizts, axiom,  (! [A] :  ( (v2_pre_topc(A) &  (v3_pcomps_1(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v1_finset_1(B))  & v1_card_1(B))  =>  (r1_ordinal1(k2_waybel23(A), B) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ~ ( (v1_tops_2(C, A) &  (m1_setfam_1(C, u1_struct_0(A)) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ~ ( (r1_tarski(D, C) &  (m1_setfam_1(D, u1_struct_0(A)) & r1_ordinal1(k1_card_1(D), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_metrizts, axiom,  (! [A] :  ( (v2_pre_topc(A) &  (v3_pcomps_1(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v1_finset_1(B))  & v1_card_1(B))  =>  (r1_ordinal1(k2_waybel23(A), B) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v4_pre_topc(C, A) & v2_tex_2(C, A))  => r1_ordinal1(k1_card_1(C), B)) ) ) ) ) ) ) ) ).
fof(t20_metrizts, axiom,  (! [A] :  ( (v2_pre_topc(A) &  (v3_pcomps_1(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v1_finset_1(B))  & v1_card_1(B))  =>  (r1_ordinal1(k2_waybel23(A), B) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_tex_2(C, A) => r1_ordinal1(k1_card_1(C), B)) ) ) ) ) ) ) ) ).
fof(t21_metrizts, axiom,  (! [A] :  ( (v2_pre_topc(A) &  (v3_pcomps_1(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v1_finset_1(B))  & v1_card_1(B))  =>  (r1_ordinal1(k2_waybel23(A), B) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ( (v1_tops_2(C, A) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r2_tarski(D, C) & r2_tarski(E, C))  =>  (D=E | r1_xboole_0(D, E)) ) ) ) ) ) )  =>  (r2_tarski(k1_xboole_0, C) | r1_ordinal1(k1_card_1(C), B)) ) ) ) ) ) ) ) ) ).
fof(t22_metrizts, axiom,  (! [A] :  ( (v2_pre_topc(A) &  (v3_pcomps_1(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v1_finset_1(B))  & v1_card_1(B))  =>  (r1_ordinal1(k2_waybel23(A), B) <=> r1_ordinal1(k4_topgen_1(A), B)) ) ) ) ) ).
fof(t23_metrizts, axiom,  (! [A] :  ( (v2_pre_topc(A) &  (v3_pcomps_1(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v1_finset_1(B))  & v1_card_1(B))  =>  (! [C] :  ( (v1_cantor_1(C, A) &  (v1_tops_2(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) )  =>  ~ ( ( (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ~ ( (v1_tops_2(D, A) &  (m1_setfam_1(D, u1_struct_0(A)) &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ~ ( (r1_tarski(E, D) &  (m1_setfam_1(E, u1_struct_0(A)) & r1_ordinal1(k1_card_1(E), B)) ) ) ) ) ) ) ) ) )  &  (! [D] :  ( (v1_cantor_1(D, A) &  (v1_tops_2(D, A) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) )  =>  ~ ( (r1_tarski(D, C) & r1_ordinal1(k1_card_1(D), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_metrizts, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (v1_metrizts(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ~ ( (v1_tops_2(B, A) &  (m1_setfam_1(B, u1_struct_0(A)) &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ~ ( (r1_tarski(C, B) &  (m1_setfam_1(C, u1_struct_0(A)) & v4_card_3(C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_metrizts, axiom,  (! [A] :  ( (v2_pre_topc(A) &  (v3_pcomps_1(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_cantor_1(B, A) &  (v1_tops_2(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) )  =>  ~ ( (v1_metrizts(A) &  (! [C] :  ( (v1_cantor_1(C, A) &  (v1_tops_2(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) )  =>  ~ ( (r1_tarski(C, B) & v4_card_3(C)) ) ) ) ) ) ) ) ) ) ).
fof(d3_metrizts, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_metrizts(A, B, C, D) <=>  (? [E] :  ( (v3_pre_topc(E, A) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))))  &  (? [F] :  ( (v3_pre_topc(F, A) & m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))))  &  (r1_tarski(B, E) &  (r1_tarski(C, F) &  (r1_xboole_0(E, F) & D=k3_subset_1(u1_struct_0(A), k4_subset_1(u1_struct_0(A), E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_metrizts, axiom,  (! [A] :  ( (v2_pre_topc(A) &  (v3_pcomps_1(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r1_connsp_1(A, B, C) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ (r2_metrizts(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_metrizts, axiom,  (! [A] :  ( (v2_pre_topc(A) &  (v3_pcomps_1(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v4_pre_topc(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  ( (v4_pre_topc(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [E] :  ( (v3_pre_topc(E, A) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [F] :  ( (v3_pre_topc(F, A) & m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))))  =>  ( (r1_tarski(C, E) &  (r1_tarski(D, F) & r1_xboole_0(k2_pre_topc(A, E), k2_pre_topc(A, F))) )  =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(k1_pre_topc(A, B)))) =>  (! [H] :  (m1_subset_1(H, k1_zfmisc_1(u1_struct_0(k1_pre_topc(A, B)))) =>  (! [I] :  (m1_subset_1(I, k1_zfmisc_1(u1_struct_0(k1_pre_topc(A, B)))) =>  ~ ( (G=k9_subset_1(u1_struct_0(A), B, k2_pre_topc(A, E)) &  (H=k9_subset_1(u1_struct_0(A), B, k2_pre_topc(A, F)) &  (r2_metrizts(k1_pre_topc(A, B), G, H, I) &  (! [J] :  (m1_subset_1(J, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_metrizts(A, C, D, J) & r1_tarski(k9_subset_1(u1_struct_0(A), B, J), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_mfold_0, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) &  (v1_xreal_0(C) & v2_xxreal_0(C)) ) )  =>  ~ (v2_struct_0(k1_mfold_0(A, B, C))) ) ) ).
fof(fc2_mfold_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v5_rltopsp1(k15_euclid(A)) & v5_waybel23(k15_euclid(A))) ) ) ).
fof(fc3_mfold_0, axiom,  (! [A] :  (v7_ordinal1(A) => v2_mfold_0(k2_brouwer(A, k4_struct_0(k15_euclid(A)), 1), A)) ) ).
fof(rc1_mfold_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (l1_pre_topc(B) &  ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & v2_mfold_0(B, A)) ) ) ) ) ) ).
fof(cc1_mfold_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (l1_pre_topc(B) =>  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & v2_mfold_0(B, A)) )  =>  ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & v1_mfold_0(B)) ) ) ) ) ) ) ).
fof(fc4_mfold_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_mfold_0(A) & l1_pre_topc(A)) ) )  =>  ( ~ (v1_xboole_0(k2_mfold_0(A)))  & v3_pre_topc(k2_mfold_0(A), A)) ) ) ).
fof(fc5_mfold_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v2_mfold_0(k1_mfold_0(A, k4_struct_0(k15_euclid(A)), 1), A) & v3_mfold_0(k1_mfold_0(A, k4_struct_0(k15_euclid(A)), 1))) ) ) ).
fof(fc6_mfold_0, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ~ (v3_mfold_0(k2_brouwer(A, k4_struct_0(k15_euclid(A)), 1))) ) ) ).
fof(rc2_mfold_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (l1_pre_topc(B) &  ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v1_mfold_0(B) &  (v2_mfold_0(B, A) & v3_mfold_0(B)) ) ) ) ) ) ) ) ).
fof(rc3_mfold_0, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (? [B] :  (l1_pre_topc(B) &  ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v1_compts_1(B) &  (v1_mfold_0(B) &  (v2_mfold_0(B, A) &  ~ (v3_mfold_0(B)) ) ) ) ) ) ) ) ) ) ).
fof(fc7_mfold_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_mfold_0(A) &  (v3_mfold_0(A) & l1_pre_topc(A)) ) ) )  => v1_xboole_0(k3_mfold_0(A))) ) ).
fof(fc8_mfold_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_mfold_0(A) &  ( ~ (v3_mfold_0(A))  & l1_pre_topc(A)) ) ) )  =>  ~ (v1_xboole_0(k3_mfold_0(A))) ) ) ).
fof(cc2_mfold_0, axiom,  (! [A] :  ( (v7_ordinal1(A) & v8_ordinal1(A))  =>  (! [B] :  (l1_pre_topc(B) =>  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & v2_mfold_0(B, A)) )  =>  ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v2_mfold_0(B, A) & v3_mfold_0(B)) ) ) ) ) ) ) ) ).
fof(fc9_mfold_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_mfold_0(A) & l1_pre_topc(A)) ) )  =>  (v1_pre_topc(k1_pre_topc(A, k2_mfold_0(A))) & v1_mfold_0(k1_pre_topc(A, k2_mfold_0(A)))) ) ) ).
fof(fc10_mfold_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_mfold_0(A) & l1_pre_topc(A)) ) )  =>  (v1_pre_topc(k1_pre_topc(A, k2_mfold_0(A))) & v3_mfold_0(k1_pre_topc(A, k2_mfold_0(A)))) ) ) ).
fof(fc11_mfold_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_mfold_0(A) &  ( ~ (v3_mfold_0(A))  & l1_pre_topc(A)) ) ) )  =>  (v1_pre_topc(k1_pre_topc(A, k3_mfold_0(A))) & v1_mfold_0(k1_pre_topc(A, k3_mfold_0(A)))) ) ) ).
fof(fc12_mfold_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_mfold_0(A) &  ( ~ (v3_mfold_0(A))  & l1_pre_topc(A)) ) ) )  =>  (v1_pre_topc(k1_pre_topc(A, k3_mfold_0(A))) & v3_mfold_0(k1_pre_topc(A, k3_mfold_0(A)))) ) ) ).
fof(fc13_mfold_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_mfold_0(A) & l1_pre_topc(A)) ) )  &  ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v1_mfold_0(B) & l1_pre_topc(B)) ) ) )  =>  (v1_pre_topc(k2_borsuk_1(A, B)) &  (v2_pre_topc(k2_borsuk_1(A, B)) & v1_mfold_0(k2_borsuk_1(A, B))) ) ) ) ).
fof(fc14_mfold_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_mfold_0(A) &  (v3_mfold_0(A) & l1_pre_topc(A)) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v1_mfold_0(B) &  (v3_mfold_0(B) & l1_pre_topc(B)) ) ) ) )  =>  (v1_pre_topc(k2_borsuk_1(A, B)) &  (v2_pre_topc(k2_borsuk_1(A, B)) & v3_mfold_0(k2_borsuk_1(A, B))) ) ) ) ).
fof(fc15_mfold_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_mfold_0(A) & l1_pre_topc(A)) ) )  &  ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v1_mfold_0(B) &  ( ~ (v3_mfold_0(B))  & l1_pre_topc(B)) ) ) ) )  =>  (v1_pre_topc(k2_borsuk_1(A, B)) &  (v2_pre_topc(k2_borsuk_1(A, B)) &  ~ (v3_mfold_0(k2_borsuk_1(A, B))) ) ) ) ) ).
fof(fc16_mfold_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_mfold_0(A) & l1_pre_topc(A)) ) )  &  ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v1_mfold_0(B) &  ( ~ (v3_mfold_0(B))  & l1_pre_topc(B)) ) ) ) )  =>  (v1_pre_topc(k2_borsuk_1(B, A)) &  (v2_pre_topc(k2_borsuk_1(B, A)) &  ~ (v3_mfold_0(k2_borsuk_1(B, A))) ) ) ) ) ).
fof(fc17_mfold_0, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, k4_ordinal1) &  (m1_subset_1(B, k4_ordinal1) &  ( ( ~ (v2_struct_0(C))  &  (v2_pre_topc(C) &  (v2_mfold_0(C, A) & l1_pre_topc(C)) ) )  &  ( ~ (v2_struct_0(D))  &  (v2_pre_topc(D) &  (v2_mfold_0(D, B) & l1_pre_topc(D)) ) ) ) ) )  =>  (v1_pre_topc(k2_borsuk_1(C, D)) &  (v2_pre_topc(k2_borsuk_1(C, D)) & v2_mfold_0(k2_borsuk_1(C, D), k1_nat_1(A, B))) ) ) ) ).
fof(fc18_mfold_0, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v2_mfold_0(B, A) & l1_pre_topc(B)) ) ) )  =>  ( ~ (v2_struct_0(k1_pre_topc(B, k4_mfold_0(A, B))))  &  (v2_pre_topc(k1_pre_topc(B, k4_mfold_0(A, B))) & v2_mfold_0(k1_pre_topc(B, k4_mfold_0(A, B)), A)) ) ) ) ).
fof(fc19_mfold_0, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v2_mfold_0(B, A) &  ( ~ (v3_mfold_0(B))  & l1_pre_topc(B)) ) ) ) )  =>  ( ~ (v2_struct_0(k1_pre_topc(B, k5_mfold_0(A, B))))  &  (v2_pre_topc(k1_pre_topc(B, k5_mfold_0(A, B))) & v2_mfold_0(k1_pre_topc(B, k5_mfold_0(A, B)), k7_nat_d(A, 1))) ) ) ) ).
fof(rc4_mfold_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (l1_pre_topc(B) &  ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v8_pre_topc(B) &  (v5_waybel23(B) & v2_mfold_0(B, A)) ) ) ) ) ) ) ) ).
fof(rc5_mfold_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (l1_pre_topc(B) &  ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v6_pre_topc(B) &  (v7_pre_topc(B) &  (v8_pre_topc(B) &  (v5_waybel23(B) &  (v1_metrizts(B) &  (v1_mfold_0(B) &  (v2_mfold_0(B, A) & v3_mfold_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc6_mfold_0, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (? [B] :  (l1_pre_topc(B) &  ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v6_pre_topc(B) &  (v7_pre_topc(B) &  (v8_pre_topc(B) &  (v1_compts_1(B) &  (v5_waybel23(B) &  (v1_metrizts(B) &  (v1_mfold_0(B) &  (v2_mfold_0(B, A) &  ~ (v3_mfold_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc3_mfold_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v8_pre_topc(A) &  (v5_waybel23(A) &  (v1_mfold_0(A) & l1_pre_topc(A)) ) ) ) )  =>  (! [B] :  (m1_pre_topc(B, A) =>  ( ~ (v2_struct_0(B))  =>  ( ~ (v2_struct_0(B))  &  (v8_pre_topc(B) & v5_waybel23(B)) ) ) ) ) ) ) ).
fof(fc20_mfold_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v8_pre_topc(A) &  (v5_waybel23(A) &  (v1_mfold_0(A) & l1_pre_topc(A)) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v8_pre_topc(B) &  (v5_waybel23(B) &  (v1_mfold_0(B) & l1_pre_topc(B)) ) ) ) ) )  =>  (v1_pre_topc(k2_borsuk_1(A, B)) &  (v2_pre_topc(k2_borsuk_1(A, B)) &  (v8_pre_topc(k2_borsuk_1(A, B)) & v5_waybel23(k2_borsuk_1(A, B))) ) ) ) ) ).
fof(t1_mfold_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => r2_borsuk_3(A, k1_pre_topc(A, k2_struct_0(A)))) ) ).
fof(d1_mfold_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (v1_xreal_0(C) => k1_mfold_0(A, B, C)=k1_pre_topc(k15_euclid(A), k1_topreal9(A, B, C))) ) ) ) ) ) ).
fof(t2_mfold_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (v1_xreal_0(C) => u1_struct_0(k1_mfold_0(A, B, C))=k1_topreal9(A, B, C)) ) ) ) ) ) ).
fof(t3_mfold_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  ( (v1_xreal_0(D) & v2_xxreal_0(D))  =>  (! [E] :  ( (v1_xreal_0(E) & v2_xxreal_0(E))  => r2_borsuk_3(k1_mfold_0(A, B, D), k1_mfold_0(A, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t4_mfold_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  ( ~ (r1_xxreal_0(D, k5_numbers))  =>  (! [F] :  (m1_connsp_2(F, B, C) =>  ~ ( (r1_borsuk_3(k1_pre_topc(B, F), k1_mfold_0(A, E, D)) &  (! [G] :  (m1_connsp_2(G, B, C) =>  ~ ( (r1_tarski(G, k1_tops_1(B, F)) & r1_borsuk_3(k1_pre_topc(B, G), k2_brouwer(A, E, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_mfold_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v1_mfold_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  (m1_connsp_2(C, A, B) &  (? [D] :  (v7_ordinal1(D) & r2_borsuk_3(k1_pre_topc(A, C), k2_brouwer(D, k4_struct_0(k15_euclid(D)), 1))) ) ) ) ) ) ) ) ) ).
fof(d3_mfold_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (v2_mfold_0(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (? [D] :  (m1_connsp_2(D, B, C) & r2_borsuk_3(k1_pre_topc(B, D), k2_brouwer(A, k4_struct_0(k15_euclid(A)), 1))) ) ) ) ) ) ) ) ) ).
fof(d4_mfold_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (B=k2_mfold_0(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) <=>  (? [D] :  (m1_connsp_2(D, A, C) &  (? [E] :  (v7_ordinal1(E) & r2_borsuk_3(k1_pre_topc(A, D), k1_mfold_0(E, k4_struct_0(k15_euclid(E)), 1))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_mfold_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => k3_mfold_0(A)=k3_subset_1(u1_struct_0(A), k2_mfold_0(A))) ) ).
fof(t5_mfold_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_mfold_0(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (r2_tarski(B, k3_mfold_0(A)) <=>  (? [C] :  (m1_connsp_2(C, A, B) &  (? [D] :  (v7_ordinal1(D) &  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k1_pre_topc(A, C)), u1_struct_0(k2_brouwer(D, k4_struct_0(k15_euclid(D)), 1))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(A, C)), u1_struct_0(k2_brouwer(D, k4_struct_0(k15_euclid(D)), 1)))))) )  &  (v3_tops_2(E, k1_pre_topc(A, C), k2_brouwer(D, k4_struct_0(k15_euclid(D)), 1)) & r2_tarski(k1_funct_1(E, B), k3_topreal9(D, k4_struct_0(k15_euclid(D)), 1))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_mfold_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v3_mfold_0(A) <=> k2_mfold_0(A)=u1_struct_0(A)) ) ) ).
fof(t6_mfold_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_mfold_0(A) &  (v3_mfold_0(A) & l1_pre_topc(A)) ) ) )  <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  (m1_connsp_2(C, A, B) &  (? [D] :  (v7_ordinal1(D) & r2_borsuk_3(k1_pre_topc(A, C), k1_mfold_0(D, k4_struct_0(k15_euclid(D)), 1))) ) ) ) ) ) ) ) ) ).
fof(t7_mfold_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_mfold_0(A) &  ( ~ (v3_mfold_0(A))  & l1_pre_topc(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) =>  ( (? [D] :  (m1_connsp_2(D, A, B) & r2_borsuk_3(k1_pre_topc(A, D), k2_brouwer(k1_nat_1(C, 1), k4_struct_0(k15_euclid(k1_nat_1(C, 1))), 1))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_pre_topc(A, k3_mfold_0(A)))) =>  ~ ( (B=D &  (! [E] :  (m1_connsp_2(E, k1_pre_topc(A, k3_mfold_0(A)), D) =>  ~ (r2_borsuk_3(k1_pre_topc(k1_pre_topc(A, k3_mfold_0(A)), E), k1_mfold_0(C, k4_struct_0(k15_euclid(C)), 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_mfold_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_mfold_0(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v1_mfold_0(B) & l1_pre_topc(B)) ) )  => k2_mfold_0(k2_borsuk_1(A, B))=k3_borsuk_1(A, B, k2_mfold_0(A), k2_mfold_0(B))) ) ) ) ).
fof(t9_mfold_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_mfold_0(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v1_mfold_0(B) & l1_pre_topc(B)) ) )  => k3_mfold_0(k2_borsuk_1(A, B))=k4_subset_1(u1_struct_0(k2_borsuk_1(A, B)), k3_borsuk_1(A, B, k2_struct_0(A), k3_mfold_0(B)), k3_borsuk_1(A, B, k3_mfold_0(A), k2_struct_0(B)))) ) ) ) ).
fof(d7_mfold_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v2_mfold_0(B, A) & l1_pre_topc(B)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (C=k4_mfold_0(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r2_tarski(D, C) <=>  (? [E] :  (m1_connsp_2(E, B, D) & r2_borsuk_3(k1_pre_topc(B, E), k1_mfold_0(A, k4_struct_0(k15_euclid(A)), 1))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_mfold_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v2_mfold_0(B, A) & l1_pre_topc(B)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (C=k5_mfold_0(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r2_tarski(D, C) <=>  (? [E] :  (m1_connsp_2(E, B, D) &  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k1_pre_topc(B, E)), u1_struct_0(k2_brouwer(A, k4_struct_0(k15_euclid(A)), 1))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(B, E)), u1_struct_0(k2_brouwer(A, k4_struct_0(k15_euclid(A)), 1)))))) )  &  (v3_tops_2(F, k1_pre_topc(B, E), k2_brouwer(A, k4_struct_0(k15_euclid(A)), 1)) & r2_tarski(k1_funct_1(F, D), k3_topreal9(A, k4_struct_0(k15_euclid(A)), 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_mfold_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  ( (v1_mfold_0(A) & r2_borsuk_3(A, B))  => v1_mfold_0(B)) ) ) ) ) ).
fof(t11_mfold_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_pre_topc(C) & l1_pre_topc(C)) )  =>  ( (v2_mfold_0(B, A) &  (v1_mfold_0(C) & r2_borsuk_3(B, C)) )  => v2_mfold_0(C, A)) ) ) ) ) ) ) ).
fof(t12_mfold_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_pre_topc(C) & l1_pre_topc(C)) )  =>  ( (v2_mfold_0(C, A) & v2_mfold_0(C, B))  => A=B) ) ) ) ) ) ) ).
fof(t13_mfold_0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v2_mfold_0(B, A) &  (v3_mfold_0(B) & l1_pre_topc(B)) ) ) )  <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (? [D] :  (m1_connsp_2(D, B, C) & r2_borsuk_3(k1_pre_topc(B, D), k1_mfold_0(A, k4_struct_0(k15_euclid(A)), 1))) ) ) ) ) ) ) ) ) ).
fof(t14_mfold_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) &  (v1_mfold_0(A) & l1_pre_topc(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_connsp_1(B, A) =>  (v3_pre_topc(B, A) &  (? [C] :  (v7_ordinal1(C) &  ( ~ (v2_struct_0(k1_pre_topc(A, B)))  &  (v2_pre_topc(k1_pre_topc(A, B)) &  (v2_mfold_0(k1_pre_topc(A, B), C) & l1_pre_topc(k1_pre_topc(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_mfold_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) &  (v1_mfold_0(A) & l1_pre_topc(A)) ) ) )  =>  (? [B] :  (m1_eqrel_1(B, u1_struct_0(A)) &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(C, B) =>  (v3_pre_topc(C, A) &  (v3_connsp_1(C, A) &  (? [D] :  (v7_ordinal1(D) &  ( ~ (v2_struct_0(k1_pre_topc(A, C)))  &  (v2_pre_topc(k1_pre_topc(A, C)) &  (v2_mfold_0(k1_pre_topc(A, C), D) & l1_pre_topc(k1_pre_topc(A, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_mfold_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) &  (v1_mfold_0(A) & l1_pre_topc(A)) ) ) )  =>  ~ ( (v1_connsp_1(A) &  (! [B] :  (v7_ordinal1(B) =>  ~ (v2_mfold_0(A, B)) ) ) ) ) ) ) ).
fof(dt_k1_mfold_0, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) & v1_xreal_0(C)) )  => m1_pre_topc(k1_mfold_0(A, B, C), k15_euclid(A))) ) ).
fof(dt_k2_mfold_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => m1_subset_1(k2_mfold_0(A), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k3_mfold_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => m1_subset_1(k3_mfold_0(A), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k4_mfold_0, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v2_mfold_0(B, A) & l1_pre_topc(B)) ) ) )  => m1_subset_1(k4_mfold_0(A, B), k1_zfmisc_1(u1_struct_0(B)))) ) ).
fof(redefinition_k4_mfold_0, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v2_mfold_0(B, A) & l1_pre_topc(B)) ) ) )  => k4_mfold_0(A, B)=k2_mfold_0(B)) ) ).
fof(dt_k5_mfold_0, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v2_mfold_0(B, A) & l1_pre_topc(B)) ) ) )  => m1_subset_1(k5_mfold_0(A, B), k1_zfmisc_1(u1_struct_0(B)))) ) ).
fof(redefinition_k5_mfold_0, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v2_mfold_0(B, A) & l1_pre_topc(B)) ) ) )  => k5_mfold_0(A, B)=k3_mfold_0(B)) ) ).
fof(fc1_mfold_1, axiom,  (! [A, B] : v2_funct_1(k1_tarski(k4_tarski(A, B)))) ).
fof(rc1_mfold_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) &  (v4_funct_1(B) & v1_mfold_1(B, A)) ) ) ) ) ).
fof(cc1_mfold_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (v1_mfold_1(B, A) => v3_pre_topc(B, k15_euclid(A))) ) ) ) ) ).
fof(rc2_mfold_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) &  ( ~ (v1_xboole_0(B))  &  (v4_funct_1(B) & v1_mfold_1(B, A)) ) ) ) ) ) ).
fof(fc2_mfold_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ (v2_struct_0(k1_mfold_1(A))) ) ) ).
fof(fc3_mfold_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v5_rltopsp1(k15_euclid(A)) &  (v2_mfold_0(k15_euclid(A), A) & v3_mfold_0(k15_euclid(A))) ) ) ) ).
fof(cc2_mfold_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_mfold_0(A) & v3_mfold_0(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v1_frechet(A)) ) ) ) ) ).
fof(cc3_mfold_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v2_mfold_0(A, k5_numbers)) )  =>  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v1_tdlat_3(A)) ) ) ) ) ).
fof(cc4_mfold_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v1_tdlat_3(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v2_mfold_0(A, k5_numbers)) ) ) ) ) ).
fof(rc3_mfold_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (l1_pre_topc(B) &  ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v3_mfold_0(B) & v2_mfold_1(B, A)) ) ) ) ) ) ) ).
fof(cc5_mfold_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v5_waybel23(A) & v1_tdlat_3(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v8_pre_topc(A) &  (v5_waybel23(A) & v2_mfold_0(A, k5_numbers)) ) ) ) ) ) ) ).
fof(cc6_mfold_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (l1_pre_topc(B) =>  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & v2_mfold_1(B, A)) )  =>  ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v8_pre_topc(B) &  (v5_waybel23(B) & v2_mfold_0(B, A)) ) ) ) ) ) ) ) ) ).
fof(cc7_mfold_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (l1_pre_topc(B) =>  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v8_pre_topc(B) &  (v5_waybel23(B) & v2_mfold_0(B, A)) ) ) )  =>  ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & v2_mfold_1(B, A)) ) ) ) ) ) ) ).
fof(cc8_mfold_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v3_mfold_0(B) &  (v2_mfold_1(B, A) & l1_pre_topc(B)) ) ) ) )  =>  (! [C] :  (m1_pre_topc(C, B) =>  ( ( ~ (v2_struct_0(C))  & v1_tsep_1(C, B))  =>  ( ~ (v2_struct_0(C))  &  (v3_mfold_0(C) & v2_mfold_1(C, A)) ) ) ) ) ) ) ).
fof(t2_mfold_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m1_pre_topc(B, k15_euclid(A)))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(k3_topmetr))))) )  =>  ~ ( (v5_pre_topc(C, B, k3_topmetr) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(k15_euclid(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(k15_euclid(A)))))) )  =>  ~ ( ( (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(A))) =>  (! [G] :  (v1_xreal_0(G) =>  ( (E=F & k3_funct_2(u1_struct_0(B), u1_struct_0(k3_topmetr), C, E)=G)  => k1_funct_1(D, F)=k1_rlvect_1(k15_euclid(A), F, G)) ) ) ) ) ) )  & v5_pre_topc(D, B, k15_euclid(A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_mfold_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (v1_mfold_1(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) &  (? [D] :  (v1_xreal_0(D) & B=k1_topreal9(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t3_mfold_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  ( (v3_pre_topc(C, k15_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  ~ ( (r2_tarski(B, C) &  (! [D] :  ( (v1_mfold_1(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  ~ ( (r1_tarski(D, C) & r2_tarski(B, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_mfold_1, axiom,  (! [A] :  (v7_ordinal1(A) => k1_mfold_1(A)=k1_mfold_0(A, k4_struct_0(k15_euclid(A)), 1)) ) ).
fof(t5_mfold_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  ~ ( ( ~ (A=k5_numbers)  &  (m1_subset_1(B, u1_struct_0(k1_mfold_1(A))) & r1_xxreal_0(1, k12_euclid(B))) ) ) ) ) ) ) ).
fof(t6_mfold_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k1_mfold_1(A)), u1_struct_0(k15_euclid(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_mfold_1(A)), u1_struct_0(k15_euclid(A)))))) )  =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k1_mfold_1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (C=D => k3_funct_2(u1_struct_0(k1_mfold_1(A)), u1_struct_0(k15_euclid(A)), B, C)=k1_rlvect_1(k15_euclid(A), D, k7_xcmplx_0(1, k6_xcmplx_0(1, k3_xcmplx_0(k12_euclid(D), k12_euclid(D)))))) ) ) ) )  =>  (A=k5_numbers | v3_tops_2(B, k1_mfold_1(A), k15_euclid(A))) ) ) ) ) ) ).
fof(t7_mfold_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  ( (v1_xreal_0(C) & v2_xxreal_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k1_mfold_1(A)), u1_struct_0(k1_mfold_0(A, B, C))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_mfold_1(A)), u1_struct_0(k1_mfold_0(A, B, C)))))) )  =>  ( (! [E] :  (m1_subset_1(E, u1_struct_0(k1_mfold_1(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(A))) =>  (E=F => k3_funct_2(u1_struct_0(k1_mfold_1(A)), u1_struct_0(k1_mfold_0(A, B, C)), D, E)=k3_rlvect_1(k15_euclid(A), k1_rlvect_1(k15_euclid(A), F, C), B)) ) ) ) )  =>  (A=k5_numbers | v3_tops_2(D, k1_mfold_1(A), k1_mfold_0(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t8_mfold_1, axiom,  (! [A] :  (v7_ordinal1(A) => r2_borsuk_3(k1_mfold_1(A), k15_euclid(A))) ) ).
fof(t10_mfold_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_mfold_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A))))) )  => r1_metrizts(k15_euclid(A), k15_euclid(A), B, k2_struct_0(k15_euclid(A)))) ) ) ) ).
fof(t11_mfold_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_connsp_2(D, A, C) =>  (! [E] :  ( (v3_pre_topc(E, B) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))))  =>  ~ ( (r1_metrizts(A, B, D, E) &  (! [F] :  ( (v3_pre_topc(F, A) & m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [G] :  ( (v3_pre_topc(G, B) & m1_subset_1(G, k1_zfmisc_1(u1_struct_0(B))))  =>  ~ ( (r1_tarski(F, D) &  (r2_tarski(C, F) & r1_metrizts(A, B, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_mfold_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  ( (v2_mfold_0(B, A) & v3_mfold_0(B))  <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (? [D] :  (m1_connsp_2(D, B, C) &  (? [E] :  ( (v3_pre_topc(E, k15_euclid(A)) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  & r1_metrizts(B, k15_euclid(A), D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_mfold_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  ( (v3_mfold_0(B) & v2_mfold_0(B, A))  <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (? [D] :  (m1_connsp_2(D, B, C) &  (? [E] :  ( (v1_mfold_1(E, A) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  & r1_metrizts(B, k15_euclid(A), D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_mfold_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  ( (v3_mfold_0(B) & v2_mfold_0(B, A))  <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (? [D] :  (m1_connsp_2(D, B, C) & r1_metrizts(B, k15_euclid(A), D, k2_struct_0(k15_euclid(A)))) ) ) ) ) ) ) ) ) ).
fof(d4_mfold_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (v2_mfold_1(B, A) <=>  (v5_waybel23(B) &  (v8_pre_topc(B) & v2_mfold_0(B, A)) ) ) ) ) ) ) ).
fof(dt_k1_mfold_1, axiom,  (! [A] :  (v7_ordinal1(A) => m1_pre_topc(k1_mfold_1(A), k15_euclid(A))) ) ).
fof(fc1_mfold_2, axiom, v5_relat_1(k1_xboole_0, k1_xboole_0)).
fof(fc2_mfold_2, axiom, v2_funct_2(k1_xboole_0, k1_xboole_0)).
fof(fc3_mfold_2, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, u1_struct_0(k15_euclid(A))))  =>  (v1_funct_1(k1_mfold_2(A, B)) &  (v1_funct_2(k1_mfold_2(A, B), u1_struct_0(k15_euclid(A)), u1_struct_0(k3_topmetr)) & v5_pre_topc(k1_mfold_2(A, B), k15_euclid(A), k3_topmetr)) ) ) ) ).
fof(fc4_mfold_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (v2_struct_0(k4_mfold_2(A)))  & v2_pre_topc(k4_mfold_2(A))) ) ) ).
fof(fc5_mfold_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v2_pre_topc(k4_mfold_2(A)) & v5_waybel23(k4_mfold_2(A))) ) ) ).
fof(fc6_mfold_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v2_pre_topc(k4_mfold_2(A)) &  (v2_mfold_0(k4_mfold_2(A), A) & v3_mfold_0(k4_mfold_2(A))) ) ) ) ).
fof(fc7_mfold_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v2_pre_topc(k4_mfold_2(A)) & v2_mfold_1(k4_mfold_2(A), A)) ) ) ).
fof(t1_mfold_2, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] : k9_xtuple_0(k6_relat_1(B, A))=k8_relat_1(A, B)) ) ) ).
fof(t2_mfold_2, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (r1_tarski(C, B) => k8_relat_1(k6_relat_1(B, A), C)=k8_relat_1(A, C)) ) ) ) ) ).
fof(t3_mfold_2, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (l1_pre_topc(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v3_tops_2(C, A, B) => v3_tops_2(k2_tops_2(u1_struct_0(A), u1_struct_0(B), C), B, A)) ) ) ) ) ) ) ).
fof(t4_mfold_2, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v3_tops_2(D, A, B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k1_pre_topc(A, k8_relset_1(u1_struct_0(A), u1_struct_0(B), D, C))), u1_struct_0(k1_pre_topc(B, C))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(A, k8_relset_1(u1_struct_0(A), u1_struct_0(B), D, C))), u1_struct_0(k1_pre_topc(B, C)))))) )  =>  (E=k6_relset_1(u1_struct_0(A), u1_struct_0(B), C, D) => v3_tops_2(E, k1_pre_topc(A, k8_relset_1(u1_struct_0(A), u1_struct_0(B), D, C)), k1_pre_topc(B, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_mfold_2, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v3_tops_2(D, A, B) => r1_metrizts(A, B, k8_relset_1(u1_struct_0(A), u1_struct_0(B), D, C), C)) ) ) ) ) ) ) ) ) ).
fof(t6_mfold_2, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (r1_metrizts(A, B, C, D) => r1_metrizts(B, A, D, C)) ) ) ) ) ) ) ) ) ).
fof(t7_mfold_2, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (r1_metrizts(A, B, C, D) =>  (v1_xboole_0(C) <=> v1_xboole_0(D)) ) ) ) ) ) ) ) ) ) ).
fof(t8_mfold_2, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (! [C] :  ( (v2_pre_topc(C) & l1_pre_topc(C))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(C))) =>  ( (r1_metrizts(A, B, D, E) & r1_metrizts(B, C, E, F))  => r1_metrizts(A, C, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_mfold_2, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  ( (v5_waybel23(A) & r1_mfold_2(A, B))  => v5_waybel23(B)) ) ) ) ) ).
fof(t10_mfold_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  ( (v8_pre_topc(A) & r1_mfold_2(A, B))  => v8_pre_topc(B)) ) ) ) ) ).
fof(t12_mfold_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_pre_topc(C) & l1_pre_topc(C)) )  =>  ( (v2_mfold_1(B, A) & r1_mfold_2(B, C))  => v2_mfold_1(C, A)) ) ) ) ) ) ) ).
fof(t13_mfold_2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r2_tarski(C, k4_finseq_1(k14_rvsum_1(A, B))) =>  (k1_funct_1(k14_rvsum_1(A, B), C)=k3_xcmplx_0(k7_partfun1(k1_numbers, A, C), k7_partfun1(k1_numbers, B, C)) & k7_partfun1(k1_numbers, k14_rvsum_1(A, B), C)=k3_xcmplx_0(k7_partfun1(k1_numbers, A, C), k7_partfun1(k1_numbers, B, C))) ) ) ) ) ) ) ) ).
fof(t14_mfold_2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  ( (k3_finseq_1(A)=k3_finseq_1(B) & k3_finseq_1(C)=k3_finseq_1(D))  => k14_rvsum_1(k8_finseq_1(k1_numbers, A, C), k8_finseq_1(k1_numbers, B, D))=k8_finseq_1(k1_numbers, k14_rvsum_1(A, B), k14_rvsum_1(C, D))) ) ) ) ) ) ) ) ) ).
fof(t15_mfold_2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  ( (k3_finseq_1(A)=k3_finseq_1(B) & k3_finseq_1(C)=k3_finseq_1(D))  => k22_rvsum_1(k8_finseq_1(k1_numbers, A, C), k8_finseq_1(k1_numbers, B, D))=k2_xcmplx_0(k22_rvsum_1(A, B), k22_rvsum_1(C, D))) ) ) ) ) ) ) ) ) ).
fof(t16_mfold_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (r2_tarski(B, k2_finseq_1(A)) => k1_funct_1(k3_rlvect_1(k15_euclid(A), C, D), B)=k2_xcmplx_0(k1_funct_1(C, B), k1_funct_1(D, B))) ) ) ) ) ) ) ) ) ).
fof(t17_mfold_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_rlvect_2(B, k10_funcsdom(k2_finseq_1(A))) <=> m1_rlvect_2(B, k15_euclid(A))) ) ) ) ).
fof(t18_mfold_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k15_euclid(A)), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), k1_numbers)))) )  =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(k10_funcsdom(k2_finseq_1(A)))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k10_funcsdom(k2_finseq_1(A))), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_funcsdom(k2_finseq_1(A))), k1_numbers)))) )  =>  ( (r1_funct_2(u1_struct_0(k15_euclid(A)), k1_numbers, u1_struct_0(k10_funcsdom(k2_finseq_1(A))), k1_numbers, C, E) & B=D)  => k5_rlvect_2(k15_euclid(A), B, C)=k5_rlvect_2(k10_funcsdom(k2_finseq_1(A)), D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_mfold_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k10_funcsdom(k2_finseq_1(A)))) =>  (C=B => k4_rlvect_1(k15_euclid(A), B)=k4_rlvect_1(k10_funcsdom(k2_finseq_1(A)), C)) ) ) ) ) ) ) ).
fof(t20_mfold_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_rlvect_2(B, k10_funcsdom(k2_finseq_1(A))) =>  (! [C] :  (m1_rlvect_2(C, k15_euclid(A)) =>  (r1_funct_2(u1_struct_0(k15_euclid(A)), k1_numbers, u1_struct_0(k10_funcsdom(k2_finseq_1(A))), k1_numbers, C, B) => k6_rlvect_2(k15_euclid(A), C)=k6_rlvect_2(k10_funcsdom(k2_finseq_1(A)), B)) ) ) ) ) ) ) ).
fof(t21_mfold_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k10_funcsdom(k2_finseq_1(A))))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (B=C =>  (v1_rlvect_3(B, k10_funcsdom(k2_finseq_1(A))) <=> v1_rlvect_3(C, k15_euclid(A))) ) ) ) ) ) ) ) ).
fof(t22_mfold_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  ~ ( (C=k8_euclid_7(A) &  (! [D] :  (m2_rlvect_2(D, k15_euclid(A), C) =>  ~ (B=k6_rlvect_2(k15_euclid(A), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_mfold_2, axiom,  (! [A] :  (v7_ordinal1(A) => m1_rlvect_3(k8_euclid_7(A), k15_euclid(A))) ) ).
fof(t24_mfold_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (r2_tarski(B, u1_pre_topc(k15_euclid(A))) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  ~ ( (r2_tarski(C, B) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  & r1_tarski(k1_topreal9(A, C, D), B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_mfold_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k15_euclid(A)), u1_struct_0(k3_topmetr)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k3_topmetr))))) )  =>  (C=k1_mfold_2(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) => k3_funct_2(u1_struct_0(k15_euclid(A)), u1_struct_0(k3_topmetr), C, D)=k22_rvsum_1(B, D)) ) ) ) ) ) ) ) ) ).
fof(t25_mfold_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) => k7_relset_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)), k3_rltopsp1(k15_euclid(A), C), k2_mfold_2(A, B, D))=k2_mfold_2(A, B, k3_rlvect_1(k15_euclid(A), C, D))) ) ) ) ) ) ) ) ).
fof(t26_mfold_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  ~ ( ( ~ (B=k4_struct_0(k15_euclid(A)))  &  (! [C] :  ( (v1_rlvect_3(C, k15_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  ~ ( (k1_card_1(C)=k6_xcmplx_0(A, 1) & k2_struct_0(k1_rlvect_3(k15_euclid(A), C))=k2_mfold_2(A, B, k4_struct_0(k15_euclid(A)))) ) ) ) ) ) ) ) ) ) ).
fof(t27_mfold_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  ~ ( ( ~ (B=k4_struct_0(k15_euclid(A)))  &  ( ~ (C=k4_struct_0(k15_euclid(A)))  &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)))))) )  =>  ~ ( (v3_tops_2(D, k15_euclid(A), k15_euclid(A)) & k7_relset_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(A)), D, k2_mfold_2(A, B, k4_struct_0(k15_euclid(A))))=k2_mfold_2(A, C, k4_struct_0(k15_euclid(A)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_mfold_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) => k3_mfold_2(A, B, C)=k1_pre_topc(k15_euclid(A), k2_mfold_2(A, B, C))) ) ) ) ) ) ).
fof(t28_mfold_2, axiom,  (! [A] :  (v7_ordinal1(A) => k6_euclid_7(k2_xcmplx_0(A, 1), k2_xcmplx_0(A, 1))=k7_finseq_1(k4_struct_0(k15_euclid(A)), k12_finseq_1(k4_ordinal1, 1))) ) ).
fof(t29_mfold_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(k2_xcmplx_0(A, 1)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(k2_xcmplx_0(A, 1)))) =>  ( ~ (B=k4_struct_0(k15_euclid(k2_xcmplx_0(A, 1))))  => r1_mfold_2(k15_euclid(A), k3_mfold_2(k2_xcmplx_0(A, 1), B, C))) ) ) ) ) ) ) ).
fof(t30_mfold_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(k2_xcmplx_0(A, 1)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(k2_xcmplx_0(A, 1)))) =>  ( ~ (B=k4_struct_0(k15_euclid(k2_xcmplx_0(A, 1))))  => v2_mfold_1(k3_mfold_2(k2_xcmplx_0(A, 1), B, C), A)) ) ) ) ) ) ) ).
fof(d4_mfold_2, axiom,  (! [A] :  (v7_ordinal1(A) => k4_mfold_2(A)=k8_toprealb(k2_xcmplx_0(A, 1))) ) ).
fof(d5_mfold_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_pre_topc(C, k15_euclid(A)) =>  (r2_tarski(B, k3_topreal9(A, k4_struct_0(k15_euclid(A)), 1)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(C), u1_struct_0(k3_mfold_2(A, B, k4_struct_0(k15_euclid(A))))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(k3_mfold_2(A, B, k4_struct_0(k15_euclid(A)))))))) )  =>  (D=k5_mfold_2(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(A))) =>  (r1_struct_0(C, E) => k1_funct_1(D, E)=k1_rlvect_1(k15_euclid(A), k5_algstr_0(k15_euclid(A), E, k1_rlvect_1(k15_euclid(A), B, k22_rvsum_1(E, B))), k7_xcmplx_0(1, k6_xcmplx_0(1, k22_rvsum_1(E, B))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_mfold_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_pre_topc(C, k15_euclid(A)) =>  ( (k2_struct_0(C)=k7_subset_1(u1_struct_0(k15_euclid(A)), k3_topreal9(A, k4_struct_0(k15_euclid(A)), 1), k1_tarski(B)) & r2_tarski(B, k3_topreal9(A, k4_struct_0(k15_euclid(A)), 1)))  => v3_tops_2(k5_mfold_2(A, B, C), C, k3_mfold_2(A, B, k4_struct_0(k15_euclid(A))))) ) ) ) ) ) ) ).
fof(symmetry_r1_mfold_2, axiom,  (! [A, B] :  ( (l1_pre_topc(A) & l1_pre_topc(B))  =>  (r1_mfold_2(A, B) => r1_mfold_2(B, A)) ) ) ).
fof(redefinition_r1_mfold_2, axiom,  (! [A, B] :  ( (l1_pre_topc(A) & l1_pre_topc(B))  =>  (r1_mfold_2(A, B) <=> r1_t_0topsp(A, B)) ) ) ).
fof(dt_k1_mfold_2, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, u1_struct_0(k15_euclid(A))))  =>  (v1_funct_1(k1_mfold_2(A, B)) &  (v1_funct_2(k1_mfold_2(A, B), u1_struct_0(k15_euclid(A)), u1_struct_0(k3_topmetr)) & m1_subset_1(k1_mfold_2(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k3_topmetr))))) ) ) ) ).
fof(dt_k2_mfold_2, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) & m1_subset_1(C, u1_struct_0(k15_euclid(A)))) )  => m1_subset_1(k2_mfold_2(A, B, C), k1_zfmisc_1(u1_struct_0(k15_euclid(A))))) ) ).
fof(dt_k3_mfold_2, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) & m1_subset_1(C, u1_struct_0(k15_euclid(A)))) )  =>  ( ~ (v2_struct_0(k3_mfold_2(A, B, C)))  & m1_pre_topc(k3_mfold_2(A, B, C), k15_euclid(A))) ) ) ).
fof(dt_k4_mfold_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v2_pre_topc(k4_mfold_2(A)) & l1_pre_topc(k4_mfold_2(A))) ) ) ).
fof(dt_k5_mfold_2, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) & m1_pre_topc(C, k15_euclid(A))) )  =>  (v1_funct_1(k5_mfold_2(A, B, C)) &  (v1_funct_2(k5_mfold_2(A, B, C), u1_struct_0(C), u1_struct_0(k3_mfold_2(A, B, k4_struct_0(k15_euclid(A))))) & m1_subset_1(k5_mfold_2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(k3_mfold_2(A, B, k4_struct_0(k15_euclid(A)))))))) ) ) ) ).
fof(d2_mfold_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) => k2_mfold_2(A, B, C)=a_3_0_mfold_2(A, B, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_mfold_2, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(B) &  (m1_subset_1(C, u1_struct_0(k15_euclid(B))) & m1_subset_1(D, u1_struct_0(k15_euclid(B)))) )  =>  (r2_hidden(A, a_3_0_mfold_2(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(B))) &  (A=E & k22_rvsum_1(C, k5_algstr_0(k15_euclid(B), E, D))=k5_numbers) ) ) ) ) ) ).
fof(rc1_midsp_1, axiom,  (? [A] :  (l1_midsp_1(A) & v1_midsp_1(A)) ) ).
fof(rc2_midsp_1, axiom,  (? [A] :  (l1_midsp_1(A) &  ~ (v2_struct_0(A)) ) ) ).
fof(fc1_midsp_1, axiom,  ( ~ (v2_struct_0(k2_midsp_1))  & v1_midsp_1(k2_midsp_1)) ).
fof(rc3_midsp_1, axiom,  (? [A] :  (l1_midsp_1(A) &  ( ~ (v2_struct_0(A))  &  (v1_midsp_1(A) & v2_midsp_1(A)) ) ) ) ).
fof(fc2_midsp_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  & m1_subset_1(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))  =>  ~ (v1_xboole_0(k4_midsp_1(A, B))) ) ) ).
fof(fc3_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  ~ (v1_xboole_0(k10_midsp_1(A))) ) ) ).
fof(fc4_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  ( ~ (v2_struct_0(k15_midsp_1(A)))  & v8_algstr_0(k15_midsp_1(A))) ) ) ).
fof(d1_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_midsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_midsp_1(A, B, C)=k4_binop_1(u1_struct_0(A), u1_midsp_1(A), B, C)) ) ) ) ) ) ).
fof(d2_midsp_1, axiom, k2_midsp_1=g1_midsp_1(k1_tarski(k5_ordinal1), k9_funct_5)).
fof(t1_midsp_1, axiom, u1_struct_0(k2_midsp_1)=k1_tarski(k1_xboole_0)).
fof(t2_midsp_1, axiom, r1_funct_2(k2_zfmisc_1(u1_struct_0(k2_midsp_1), u1_struct_0(k2_midsp_1)), u1_struct_0(k2_midsp_1), k2_zfmisc_1(k1_tarski(k5_ordinal1), k1_tarski(k5_ordinal1)), k1_tarski(k5_ordinal1), u1_midsp_1(k2_midsp_1), k9_funct_5)).
fof(t3_midsp_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_midsp_1)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_midsp_1)) => k1_midsp_1(k2_midsp_1, A, B)=k1_binop_1(k9_funct_5, A, B)) ) ) ) ).
fof(t4_midsp_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_midsp_1)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_midsp_1)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_midsp_1)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_midsp_1)) =>  (k1_midsp_1(k2_midsp_1, A, A)=A &  (k1_midsp_1(k2_midsp_1, A, B)=k1_midsp_1(k2_midsp_1, B, A) &  (k1_midsp_1(k2_midsp_1, k1_midsp_1(k2_midsp_1, A, B), k1_midsp_1(k2_midsp_1, C, D))=k1_midsp_1(k2_midsp_1, k1_midsp_1(k2_midsp_1, A, C), k1_midsp_1(k2_midsp_1, B, D)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(k2_midsp_1)) & k1_midsp_1(k2_midsp_1, E, A)=B) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_midsp_1(A))  =>  (v2_midsp_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (k1_midsp_1(A, B, B)=B &  (k1_midsp_1(A, B, C)=k1_midsp_1(A, C, B) &  (k1_midsp_1(A, k1_midsp_1(A, B, C), k1_midsp_1(A, D, E))=k1_midsp_1(A, k1_midsp_1(A, B, D), k1_midsp_1(A, C, E)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) & k1_midsp_1(A, F, B)=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_midsp_1(A, k3_midsp_1(A, B, C), D)=k3_midsp_1(A, k3_midsp_1(A, B, D), k3_midsp_1(A, C, D))) ) ) ) ) ) ) ) ).
fof(t6_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_midsp_1(A, B, k3_midsp_1(A, C, D))=k3_midsp_1(A, k3_midsp_1(A, B, C), k3_midsp_1(A, B, D))) ) ) ) ) ) ) ) ).
fof(t7_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k3_midsp_1(A, B, C)=B => B=C) ) ) ) ) ) ) ).
fof(t8_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k3_midsp_1(A, C, B)=k3_midsp_1(A, D, B) => C=D) ) ) ) ) ) ) ) ) ).
fof(t9_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k3_midsp_1(A, B, C)=k3_midsp_1(A, B, D) => C=D) ) ) ) ) ) ) ) ) ).
fof(d4_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_midsp_1(A, B, C, D, E) <=> k3_midsp_1(A, B, E)=k3_midsp_1(A, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_midsp_1(A, B, B, C, C)) ) ) ) ) ) ).
fof(t11_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_midsp_1(A, B, C, D, E) => r1_midsp_1(A, D, E, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_midsp_1(A, B, B, C, D) => C=D) ) ) ) ) ) ) ) ) ).
fof(t13_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_midsp_1(A, B, C, D, D) => B=C) ) ) ) ) ) ) ) ) ).
fof(t14_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_midsp_1(A, B, C, B, C)) ) ) ) ) ) ).
fof(t15_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) & r1_midsp_1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(t16_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r1_midsp_1(A, B, C, D, E) & r1_midsp_1(A, B, C, D, F))  => E=F) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r1_midsp_1(A, F, G, B, C) & r1_midsp_1(A, F, G, D, E))  => r1_midsp_1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r1_midsp_1(A, B, C, E, F) & r1_midsp_1(A, C, D, F, G))  => r1_midsp_1(A, B, D, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) =>  (r2_midsp_1(A, B, C) <=> r1_midsp_1(A, k2_domain_1(u1_struct_0(A), u1_struct_0(A), B), k3_domain_1(u1_struct_0(A), u1_struct_0(A), B), k2_domain_1(u1_struct_0(A), u1_struct_0(A), C), k3_domain_1(u1_struct_0(A), u1_struct_0(A), C))) ) ) ) ) ) ) ).
fof(t19_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_midsp_1(A, B, C, D, E) => r2_midsp_1(A, k1_domain_1(u1_struct_0(A), u1_struct_0(A), B, C), k1_domain_1(u1_struct_0(A), u1_struct_0(A), D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_midsp_1(A, k1_domain_1(u1_struct_0(A), u1_struct_0(A), B, C), k1_domain_1(u1_struct_0(A), u1_struct_0(A), D, E)) => r1_midsp_1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) =>  ( (r2_midsp_1(A, B, C) & r2_midsp_1(A, B, D))  => r2_midsp_1(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t22_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) =>  ( (r2_midsp_1(A, B, D) & r2_midsp_1(A, C, D))  => r2_midsp_1(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t23_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) =>  ( (r2_midsp_1(A, B, C) & r2_midsp_1(A, C, D))  => r2_midsp_1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t24_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) =>  (r2_midsp_1(A, B, C) =>  (r2_midsp_1(A, D, B) <=> r2_midsp_1(A, D, C)) ) ) ) ) ) ) ) ) ) ).
fof(t26_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) =>  (r2_tarski(B, k4_midsp_1(A, C)) <=> r2_midsp_1(A, B, C)) ) ) ) ) ) ) ).
fof(t27_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) =>  (r2_midsp_1(A, B, C) => k4_midsp_1(A, B)=k4_midsp_1(A, C)) ) ) ) ) ) ) ).
fof(t28_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) =>  (k4_midsp_1(A, B)=k4_midsp_1(A, C) => r2_midsp_1(A, B, C)) ) ) ) ) ) ) ).
fof(t29_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (k4_midsp_1(A, k1_domain_1(u1_struct_0(A), u1_struct_0(A), B, C))=k4_midsp_1(A, k1_domain_1(u1_struct_0(A), u1_struct_0(A), D, E)) => k3_midsp_1(A, B, E)=k3_midsp_1(A, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) => r2_tarski(B, k4_midsp_1(A, B))) ) ) ) ).
fof(d7_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))))  =>  (m1_midsp_1(B, A) <=>  (? [C] :  (m1_subset_1(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) & B=k4_midsp_1(A, C)) ) ) ) ) ) ) ).
fof(t31_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (? [B] :  (m1_midsp_1(B, A) &  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) =>  (r2_tarski(C, B) <=> k2_domain_1(u1_struct_0(A), u1_struct_0(A), C)=k3_domain_1(u1_struct_0(A), u1_struct_0(A), C)) ) ) ) ) ) ) ).
fof(t32_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_midsp_1(A)=k5_midsp_1(A, k1_domain_1(u1_struct_0(A), u1_struct_0(A), B, B))) ) ) ) ).
fof(t33_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_midsp_1(B, A) =>  (! [C] :  (m1_midsp_1(C, A) =>  (! [D] :  (m1_midsp_1(D, A) =>  (! [E] :  (m1_midsp_1(E, A) =>  ~ ( ( (? [F] :  (m1_subset_1(F, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) &  (? [G] :  (m1_subset_1(G, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) &  (B=k5_midsp_1(A, F) &  (C=k5_midsp_1(A, G) &  (k3_domain_1(u1_struct_0(A), u1_struct_0(A), F)=k2_domain_1(u1_struct_0(A), u1_struct_0(A), G) & D=k5_midsp_1(A, k1_domain_1(u1_struct_0(A), u1_struct_0(A), k2_domain_1(u1_struct_0(A), u1_struct_0(A), F), k3_domain_1(u1_struct_0(A), u1_struct_0(A), G)))) ) ) ) ) ) )  &  ( (? [F] :  (m1_subset_1(F, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) &  (? [G] :  (m1_subset_1(G, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) &  (B=k5_midsp_1(A, F) &  (C=k5_midsp_1(A, G) &  (k3_domain_1(u1_struct_0(A), u1_struct_0(A), F)=k2_domain_1(u1_struct_0(A), u1_struct_0(A), G) & E=k5_midsp_1(A, k1_domain_1(u1_struct_0(A), u1_struct_0(A), k2_domain_1(u1_struct_0(A), u1_struct_0(A), F), k3_domain_1(u1_struct_0(A), u1_struct_0(A), G)))) ) ) ) ) ) )  &  ~ (D=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_midsp_1(B, A) =>  (! [C] :  (m1_midsp_1(C, A) =>  (! [D] :  (m1_midsp_1(D, A) =>  (D=k7_midsp_1(A, B, C) <=>  (? [E] :  (m1_subset_1(E, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) &  (? [F] :  (m1_subset_1(F, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) &  (B=k5_midsp_1(A, E) &  (C=k5_midsp_1(A, F) &  (k3_domain_1(u1_struct_0(A), u1_struct_0(A), E)=k2_domain_1(u1_struct_0(A), u1_struct_0(A), F) & D=k5_midsp_1(A, k1_domain_1(u1_struct_0(A), u1_struct_0(A), k2_domain_1(u1_struct_0(A), u1_struct_0(A), E), k3_domain_1(u1_struct_0(A), u1_struct_0(A), F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_midsp_1(C, A) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & C=k5_midsp_1(A, k1_domain_1(u1_struct_0(A), u1_struct_0(A), B, D))) ) ) ) ) ) ) ) ).
fof(d10_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k8_midsp_1(A, B, C)=k5_midsp_1(A, k1_domain_1(u1_struct_0(A), u1_struct_0(A), B, C))) ) ) ) ) ) ).
fof(t35_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_midsp_1(C, A) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & C=k8_midsp_1(A, B, D)) ) ) ) ) ) ) ) ).
fof(t36_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_midsp_1(A, k1_domain_1(u1_struct_0(A), u1_struct_0(A), B, C), k1_domain_1(u1_struct_0(A), u1_struct_0(A), D, E)) => k8_midsp_1(A, B, C)=k8_midsp_1(A, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (k8_midsp_1(A, B, C)=k8_midsp_1(A, D, E) => k3_midsp_1(A, B, E)=k3_midsp_1(A, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_midsp_1(A)=k8_midsp_1(A, B, B)) ) ) ) ).
fof(t39_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k8_midsp_1(A, B, C)=k8_midsp_1(A, B, D) => C=D) ) ) ) ) ) ) ) ) ).
fof(t40_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k7_midsp_1(A, k8_midsp_1(A, B, C), k8_midsp_1(A, C, D))=k8_midsp_1(A, B, D)) ) ) ) ) ) ) ) ).
fof(t41_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_midsp_1(A, k1_domain_1(u1_struct_0(A), u1_struct_0(A), B, k3_midsp_1(A, B, C)), k1_domain_1(u1_struct_0(A), u1_struct_0(A), k3_midsp_1(A, B, C), C))) ) ) ) ) ) ).
fof(t42_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k7_midsp_1(A, k8_midsp_1(A, B, k3_midsp_1(A, B, C)), k8_midsp_1(A, B, k3_midsp_1(A, B, C)))=k8_midsp_1(A, B, C)) ) ) ) ) ) ).
fof(t43_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_midsp_1(B, A) =>  (! [C] :  (m1_midsp_1(C, A) =>  (! [D] :  (m1_midsp_1(D, A) => k7_midsp_1(A, k7_midsp_1(A, B, C), D)=k7_midsp_1(A, B, k7_midsp_1(A, C, D))) ) ) ) ) ) ) ) ).
fof(t44_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_midsp_1(B, A) => k7_midsp_1(A, B, k6_midsp_1(A))=B) ) ) ) ).
fof(t45_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_midsp_1(B, A) =>  (? [C] :  (m1_midsp_1(C, A) & k7_midsp_1(A, B, C)=k6_midsp_1(A)) ) ) ) ) ) ).
fof(t46_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_midsp_1(B, A) =>  (! [C] :  (m1_midsp_1(C, A) => k7_midsp_1(A, B, C)=k7_midsp_1(A, C, B)) ) ) ) ) ) ).
fof(t47_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_midsp_1(B, A) =>  (! [C] :  (m1_midsp_1(C, A) =>  (! [D] :  (m1_midsp_1(D, A) =>  (k7_midsp_1(A, B, C)=k7_midsp_1(A, B, D) => C=D) ) ) ) ) ) ) ) ) ).
fof(d11_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_midsp_1(B, A) =>  (! [C] :  (m1_midsp_1(C, A) =>  (C=k9_midsp_1(A, B) <=> k7_midsp_1(A, B, C)=k6_midsp_1(A)) ) ) ) ) ) ) ).
fof(t48_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_midsp_1(B, A) <=> r2_tarski(B, k10_midsp_1(A))) ) ) ) ).
fof(d13_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k10_midsp_1(A)) =>  (! [C] :  (m1_subset_1(C, k10_midsp_1(A)) =>  (! [D] :  (m1_subset_1(D, k10_midsp_1(A)) =>  (D=k11_midsp_1(A, B, C) <=>  (! [E] :  (m1_midsp_1(E, A) =>  (! [F] :  (m1_midsp_1(F, A) =>  ( (B=E & C=F)  => D=k7_midsp_1(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k10_midsp_1(A)) =>  (! [C] :  (m1_subset_1(C, k10_midsp_1(A)) => k11_midsp_1(A, B, C)=k11_midsp_1(A, C, B)) ) ) ) ) ) ).
fof(t50_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k10_midsp_1(A)) =>  (! [C] :  (m1_subset_1(C, k10_midsp_1(A)) =>  (! [D] :  (m1_subset_1(D, k10_midsp_1(A)) => k11_midsp_1(A, k11_midsp_1(A, B, C), D)=k11_midsp_1(A, B, k11_midsp_1(A, C, D))) ) ) ) ) ) ) ) ).
fof(d14_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k10_midsp_1(A), k10_midsp_1(A)), k10_midsp_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k10_midsp_1(A), k10_midsp_1(A)), k10_midsp_1(A))))) )  =>  (B=k12_midsp_1(A) <=>  (! [C] :  (m1_subset_1(C, k10_midsp_1(A)) =>  (! [D] :  (m1_subset_1(D, k10_midsp_1(A)) => k4_binop_1(k10_midsp_1(A), B, C, D)=k11_midsp_1(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t51_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k10_midsp_1(A)) =>  (? [C] :  (m1_subset_1(C, k10_midsp_1(A)) & k11_midsp_1(A, B, C)=k6_midsp_1(A)) ) ) ) ) ) ).
fof(t52_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k10_midsp_1(A)) =>  (! [C] :  (m1_subset_1(C, k10_midsp_1(A)) =>  (! [D] :  (m1_subset_1(D, k10_midsp_1(A)) =>  ( (k11_midsp_1(A, B, C)=k6_midsp_1(A) & k11_midsp_1(A, B, D)=k6_midsp_1(A))  => C=D) ) ) ) ) ) ) ) ) ).
fof(d15_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k10_midsp_1(A), k10_midsp_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k10_midsp_1(A), k10_midsp_1(A))))) )  =>  (B=k13_midsp_1(A) <=>  (! [C] :  (m1_subset_1(C, k10_midsp_1(A)) => k11_midsp_1(A, C, k3_funct_2(k10_midsp_1(A), k10_midsp_1(A), B, C))=k6_midsp_1(A)) ) ) ) ) ) ) ).
fof(d16_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  => k14_midsp_1(A)=k6_midsp_1(A)) ) ).
fof(d17_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  => k15_midsp_1(A)=g2_algstr_0(k10_midsp_1(A), k12_midsp_1(A), k14_midsp_1(A))) ) ).
fof(t53_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  => u1_struct_0(k15_midsp_1(A))=k10_midsp_1(A)) ) ).
fof(t54_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  => r1_funct_2(k2_zfmisc_1(u1_struct_0(k15_midsp_1(A)), u1_struct_0(k15_midsp_1(A))), u1_struct_0(k15_midsp_1(A)), k2_zfmisc_1(k10_midsp_1(A), k10_midsp_1(A)), k10_midsp_1(A), u1_algstr_0(k15_midsp_1(A)), k12_midsp_1(A))) ) ).
fof(t55_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  => k4_struct_0(k15_midsp_1(A))=k14_midsp_1(A)) ) ).
fof(t56_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (v3_rlvect_1(k15_midsp_1(A)) &  (v4_rlvect_1(k15_midsp_1(A)) &  (v13_algstr_0(k15_midsp_1(A)) & v2_rlvect_1(k15_midsp_1(A))) ) ) ) ) ).
fof(abstractness_v1_midsp_1, axiom,  (! [A] :  (l1_midsp_1(A) =>  (v1_midsp_1(A) => A=g1_midsp_1(u1_struct_0(A), u1_midsp_1(A))) ) ) ).
fof(dt_l1_midsp_1, axiom,  (! [A] :  (l1_midsp_1(A) => l1_struct_0(A)) ) ).
fof(existence_l1_midsp_1, axiom,  (? [A] : l1_midsp_1(A)) ).
fof(dt_g1_midsp_1, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v1_midsp_1(g1_midsp_1(A, B)) & l1_midsp_1(g1_midsp_1(A, B))) ) ) ).
fof(free_g1_midsp_1, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C, D] :  (g1_midsp_1(A, B)=g1_midsp_1(C, D) =>  (A=C & B=D) ) ) ) ) ).
fof(dt_u1_midsp_1, axiom,  (! [A] :  (l1_midsp_1(A) =>  (v1_funct_1(u1_midsp_1(A)) &  (v1_funct_2(u1_midsp_1(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(u1_midsp_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(dt_k1_midsp_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_midsp_1(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k1_midsp_1(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k2_midsp_1, axiom, l1_midsp_1(k2_midsp_1)).
fof(dt_k3_midsp_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k3_midsp_1(A, B, C), u1_struct_0(A))) ) ).
fof(commutativity_k3_midsp_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k3_midsp_1(A, B, C)=k3_midsp_1(A, C, B)) ) ).
fof(redefinition_k3_midsp_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k3_midsp_1(A, B, C)=k1_midsp_1(A, B, C)) ) ).
fof(symmetry_r2_midsp_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  &  (m1_subset_1(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) & m1_subset_1(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) )  =>  (r2_midsp_1(A, B, C) => r2_midsp_1(A, C, B)) ) ) ).
fof(reflexivity_r2_midsp_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  &  (m1_subset_1(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) & m1_subset_1(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) )  => r2_midsp_1(A, B, B)) ) ).
fof(dt_k4_midsp_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  & m1_subset_1(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))  => m1_subset_1(k4_midsp_1(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ).
fof(dt_m1_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_midsp_1(B, A) =>  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ) ).
fof(existence_m1_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (? [B] : m1_midsp_1(B, A)) ) ) ).
fof(dt_k5_midsp_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  & m1_subset_1(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))  => m1_midsp_1(k5_midsp_1(A, B), A)) ) ).
fof(redefinition_k5_midsp_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  & m1_subset_1(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))  => k5_midsp_1(A, B)=k4_midsp_1(A, B)) ) ).
fof(dt_k6_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  => m1_midsp_1(k6_midsp_1(A), A)) ) ).
fof(dt_k7_midsp_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  &  (m1_midsp_1(B, A) & m1_midsp_1(C, A)) )  => m1_midsp_1(k7_midsp_1(A, B, C), A)) ) ).
fof(dt_k8_midsp_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_midsp_1(k8_midsp_1(A, B, C), A)) ) ).
fof(dt_k9_midsp_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  & m1_midsp_1(B, A))  => m1_midsp_1(k9_midsp_1(A, B), A)) ) ).
fof(dt_k11_midsp_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  &  (m1_subset_1(B, k10_midsp_1(A)) & m1_subset_1(C, k10_midsp_1(A))) )  => m1_subset_1(k11_midsp_1(A, B, C), k10_midsp_1(A))) ) ).
fof(dt_k12_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (v1_funct_1(k12_midsp_1(A)) &  (v1_funct_2(k12_midsp_1(A), k2_zfmisc_1(k10_midsp_1(A), k10_midsp_1(A)), k10_midsp_1(A)) & m1_subset_1(k12_midsp_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k10_midsp_1(A), k10_midsp_1(A)), k10_midsp_1(A))))) ) ) ) ).
fof(dt_k13_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (v1_funct_1(k13_midsp_1(A)) &  (v1_funct_2(k13_midsp_1(A), k10_midsp_1(A), k10_midsp_1(A)) & m1_subset_1(k13_midsp_1(A), k1_zfmisc_1(k2_zfmisc_1(k10_midsp_1(A), k10_midsp_1(A))))) ) ) ) ).
fof(dt_k14_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  => m1_subset_1(k14_midsp_1(A), k10_midsp_1(A))) ) ).
fof(dt_k15_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  => l2_algstr_0(k15_midsp_1(A))) ) ).
fof(t25_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) =>  ( ~ (v1_xboole_0(a_2_0_midsp_1(A, B)))  & m1_subset_1(a_2_0_midsp_1(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ) ).
fof(d6_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) => k4_midsp_1(A, B)=a_2_0_midsp_1(A, B)) ) ) ) ).
fof(d8_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  => k6_midsp_1(A)=a_1_0_midsp_1(A)) ) ).
fof(d12_midsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  => k10_midsp_1(A)=a_1_1_midsp_1(A)) ) ).
fof(fraenkel_a_2_0_midsp_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_midsp_1(B) & l1_midsp_1(B)) )  & m1_subset_1(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))))  =>  (r2_hidden(A, a_2_0_midsp_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))) &  (A=D & r2_midsp_1(B, D, C)) ) ) ) ) ) ).
fof(fraenkel_a_1_0_midsp_1, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v2_midsp_1(B) & l1_midsp_1(B)) )  =>  (r2_hidden(A, a_1_0_midsp_1(B)) <=>  (? [C] :  (m1_subset_1(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))) &  (A=C & k2_domain_1(u1_struct_0(B), u1_struct_0(B), C)=k3_domain_1(u1_struct_0(B), u1_struct_0(B), C)) ) ) ) ) ) ).
fof(fraenkel_a_1_1_midsp_1, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v2_midsp_1(B) & l1_midsp_1(B)) )  =>  (r2_hidden(A, a_1_1_midsp_1(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)))) &  (A=C & m1_midsp_1(C, B)) ) ) ) ) ) ).
fof(fc1_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (v13_algstr_0(k15_midsp_1(A)) &  (v2_rlvect_1(k15_midsp_1(A)) &  (v3_rlvect_1(k15_midsp_1(A)) & v4_rlvect_1(k15_midsp_1(A))) ) ) ) ) ).
fof(cc1_midsp_2, axiom,  (! [A] :  (l2_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  & v2_midsp_2(A))  =>  ( ~ (v2_struct_0(A))  & v12_vectsp_1(A)) ) ) ) ).
fof(rc1_midsp_2, axiom,  (? [A] :  (l2_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  (v8_algstr_0(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & v2_midsp_2(A)) ) ) ) ) ) ) ) ).
fof(fc2_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  => v2_midsp_2(k15_midsp_1(A))) ) ).
fof(fc3_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (v1_funct_1(k5_midsp_2(A)) &  (v1_funct_2(k5_midsp_2(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k15_midsp_1(A))) & v1_midsp_2(k5_midsp_2(A), A, k15_midsp_1(A))) ) ) ) ).
fof(fc4_midsp_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) )  =>  ( ~ (v2_struct_0(g1_midsp_1(A, B)))  & v1_midsp_1(g1_midsp_1(A, B))) ) ) ).
fof(rc2_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_midsp_1(A))  =>  (? [B] :  (l1_midsp_2(B, A) & v3_midsp_2(B, A)) ) ) ) ).
fof(rc3_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (? [B] :  (l1_midsp_2(B, A) & v4_midsp_2(B, A)) ) ) ) ).
fof(d1_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_midsp_2(A, B)=k1_algstr_0(A, B, B)) ) ) ) ).
fof(d2_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_midsp_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_algstr_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(B))))) )  =>  (v1_midsp_2(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (k1_midsp_1(A, D, E)=F <=> k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), C, D, F)=k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), C, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_midsp_1(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A))))) )  =>  (v1_midsp_2(D, B, A) => k1_midsp_1(B, C, C)=C) ) ) ) ) ) ) ) ) ).
fof(d3_midsp_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_algstr_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (r1_midsp_2(A, B, C) <=>  ( (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (? [F] :  (m1_subset_1(F, A) & k2_binop_1(A, A, u1_struct_0(B), C, D, F)=E) ) ) ) ) )  &  ( (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  (k2_binop_1(A, A, u1_struct_0(B), C, D, E)=k2_binop_1(A, A, u1_struct_0(B), C, D, F) => E=F) ) ) ) ) ) )  &  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) => k1_algstr_0(B, k2_binop_1(A, A, u1_struct_0(B), C, D, E), k2_binop_1(A, A, u1_struct_0(B), C, E, F))=k2_binop_1(A, A, u1_struct_0(B), C, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_midsp_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_algstr_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (r1_midsp_2(A, B, C) =>  (! [F] :  (m1_subset_1(F, A) =>  (F=k2_midsp_2(A, B, C, D, E) <=> k2_binop_1(A, A, u1_struct_0(B), C, D, F)=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_midsp_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(C))))) )  =>  (r1_midsp_2(A, C, D) => k2_binop_1(A, A, u1_struct_0(C), D, B, B)=k4_struct_0(C)) ) ) ) ) ) ) ) ) ).
fof(t3_midsp_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l2_algstr_0(D)) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, A), u1_struct_0(D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(D))))) )  =>  ( (r1_midsp_2(A, D, E) & k2_binop_1(A, A, u1_struct_0(D), E, B, C)=k4_struct_0(D))  => B=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_midsp_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l2_algstr_0(D)) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, A), u1_struct_0(D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(D))))) )  =>  (r1_midsp_2(A, D, E) => k2_binop_1(A, A, u1_struct_0(D), E, B, C)=k4_algstr_0(D, k2_binop_1(A, A, u1_struct_0(D), E, C, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_midsp_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v13_algstr_0(F) &  (v3_rlvect_1(F) &  (v4_rlvect_1(F) & l2_algstr_0(F)) ) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(A, A), u1_struct_0(F)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(F))))) )  =>  ( (r1_midsp_2(A, F, G) & k2_binop_1(A, A, u1_struct_0(F), G, B, C)=k2_binop_1(A, A, u1_struct_0(F), G, D, E))  => k2_binop_1(A, A, u1_struct_0(F), G, C, B)=k2_binop_1(A, A, u1_struct_0(F), G, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_midsp_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (r1_midsp_2(A, B, C) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (? [F] :  (m1_subset_1(F, A) & k2_binop_1(A, A, u1_struct_0(B), C, F, D)=E) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_midsp_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v13_algstr_0(E) &  (v3_rlvect_1(E) &  (v4_rlvect_1(E) & l2_algstr_0(E)) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(A, A), u1_struct_0(E)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(E))))) )  =>  ( (r1_midsp_2(A, E, F) & k2_binop_1(A, A, u1_struct_0(E), F, C, B)=k2_binop_1(A, A, u1_struct_0(E), F, D, B))  => C=D) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_midsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l2_algstr_0(D)) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(D))))) )  =>  ( (r1_midsp_2(u1_struct_0(A), D, E) & v1_midsp_2(E, A, D))  => k1_midsp_1(A, B, C)=k1_midsp_1(A, C, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_midsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l2_algstr_0(D)) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(D))))) )  =>  ~ ( (r1_midsp_2(u1_struct_0(A), D, E) &  (v1_midsp_2(E, A, D) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ (k1_midsp_1(A, F, B)=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) & l2_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k3_rlvect_1(A, k3_rlvect_1(A, B, C), k3_rlvect_1(A, D, E))=k3_rlvect_1(A, k3_rlvect_1(A, B, D), k3_rlvect_1(A, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t11_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) & l2_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_midsp_2(A, k3_rlvect_1(A, B, C))=k3_rlvect_1(A, k1_midsp_2(A, B), k1_midsp_2(A, C))) ) ) ) ) ) ).
fof(t12_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_midsp_2(A, k4_algstr_0(A, B))=k4_algstr_0(A, k1_midsp_2(A, B))) ) ) ) ).
fof(t13_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_midsp_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(B))))) )  =>  ( (r1_midsp_2(u1_struct_0(A), B, C) & v1_midsp_2(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (k1_midsp_1(A, D, E)=k1_midsp_1(A, F, G) <=> k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), C, D, G)=k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), C, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_midsp_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (r1_midsp_2(A, B, C) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) =>  (! [H] :  (m1_subset_1(H, A) =>  ( (k2_binop_1(A, A, u1_struct_0(B), C, D, E)=k2_binop_1(A, A, u1_struct_0(B), C, E, G) & k2_binop_1(A, A, u1_struct_0(B), C, D, F)=k2_binop_1(A, A, u1_struct_0(B), C, F, H))  => k2_binop_1(A, A, u1_struct_0(B), C, G, H)=k1_midsp_2(B, k2_binop_1(A, A, u1_struct_0(B), C, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(k15_midsp_1(A))) <=> m1_midsp_1(B, A)) )  &  (k4_struct_0(k15_midsp_1(A))=k6_midsp_1(A) &  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_midsp_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_midsp_1(A))) =>  (! [D] :  (m1_midsp_1(D, A) =>  (! [E] :  (m1_midsp_1(E, A) =>  ( (B=D & C=E)  => k3_rlvect_1(k15_midsp_1(A), B, C)=k7_midsp_1(A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (v2_midsp_2(A) <=>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & k1_midsp_2(A, C)=B) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k1_midsp_2(A, B)=k4_struct_0(A) => B=k4_struct_0(A)) ) ) ) ) ) ) ).
fof(t16_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v12_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (B=k4_algstr_0(A, B) => B=k4_struct_0(A)) ) ) ) ) ).
fof(t17_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v12_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_midsp_2(A, B)=k1_midsp_2(A, C) => B=C) ) ) ) ) ) ) ).
fof(d6_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_midsp_2(A) & l2_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (C=k3_midsp_2(A, B) <=> k1_midsp_2(A, C)=B) ) ) ) ) ) ) ).
fof(t18_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_midsp_2(A) & l2_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k3_midsp_2(A, k4_struct_0(A))=k4_struct_0(A) &  (k3_midsp_2(A, k3_rlvect_1(A, B, C))=k3_rlvect_1(A, k3_midsp_2(A, B), k3_midsp_2(A, C)) &  ( (k3_midsp_2(A, B)=k3_midsp_2(A, C) => B=C)  & k3_midsp_2(A, k1_midsp_2(A, B))=B) ) ) ) ) ) ) ) ) ).
fof(t19_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_midsp_2(A) & l2_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_midsp_1(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A))))) )  =>  ( (r1_midsp_2(u1_struct_0(B), A, C) & v1_midsp_2(C, B, A))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) => k1_midsp_1(B, k1_midsp_1(B, D, E), k1_midsp_1(B, F, G))=k1_midsp_1(B, k1_midsp_1(B, D, F), k1_midsp_1(B, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_midsp_2(A) & l2_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_midsp_1(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A))))) )  =>  ( (r1_midsp_2(u1_struct_0(B), A, C) & v1_midsp_2(C, B, A))  =>  ( ~ (v2_struct_0(B))  &  (v2_midsp_1(B) & l1_midsp_1(B)) ) ) ) ) ) ) ) ) ).
fof(d7_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_midsp_2(A, B, C)=k8_midsp_1(A, B, C)) ) ) ) ) ) ).
fof(d8_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k15_midsp_1(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k15_midsp_1(A)))))) )  =>  (B=k5_midsp_2(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(k15_midsp_1(A)), B, C, D)=k8_midsp_1(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t21_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  => r1_midsp_2(u1_struct_0(A), k15_midsp_1(A), k5_midsp_2(A))) ) ).
fof(t22_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (k8_midsp_1(A, B, C)=k8_midsp_1(A, D, E) <=> k3_midsp_1(A, B, E)=k3_midsp_1(A, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k3_midsp_1(A, B, C)=D <=> k8_midsp_1(A, B, D)=k8_midsp_1(A, D, C)) ) ) ) ) ) ) ) ) ).
fof(d9_midsp_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_midsp_2(B) & l2_algstr_0(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (r1_midsp_2(A, B, C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (D=k6_midsp_2(A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) => k2_binop_1(A, A, u1_struct_0(B), C, E, k4_binop_1(A, D, E, F))=k2_binop_1(A, A, u1_struct_0(B), C, k4_binop_1(A, D, E, F), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_midsp_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_midsp_2(B) & l2_algstr_0(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (r1_midsp_2(A, B, C) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  (k4_binop_1(A, k6_midsp_2(A, B, C), D, E)=F <=> k2_binop_1(A, A, u1_struct_0(B), C, D, F)=k2_binop_1(A, A, u1_struct_0(B), C, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_midsp_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_midsp_2(B) & l2_algstr_0(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  => k7_midsp_2(A, B, C)=C) ) ) ) ) ) ).
fof(t26_midsp_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_midsp_2(B) & l2_algstr_0(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (r1_midsp_2(A, B, C) => v1_midsp_2(k7_midsp_2(A, B, C), g1_midsp_1(A, k6_midsp_2(A, B, C)), B)) ) ) ) ) ) ) ).
fof(d11_midsp_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_midsp_2(B) & l2_algstr_0(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  =>  (r1_midsp_2(A, B, C) => k8_midsp_2(A, B, C)=g1_midsp_1(A, k6_midsp_2(A, B, C))) ) ) ) ) ) ) ).
fof(t27_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_midsp_1(A))  =>  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  <=>  (? [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_midsp_2(B) & l2_algstr_0(B)) ) ) ) ) )  &  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(B))))) )  &  (r1_midsp_2(u1_struct_0(A), B, C) & v1_midsp_2(C, A, B)) ) ) ) ) ) ) ) ).
fof(d12_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_midsp_1(A))  =>  (! [B] :  (l1_midsp_2(B, A) =>  (v4_midsp_2(B, A) <=>  (v2_midsp_2(u1_midsp_2(A, B)) &  (v3_rlvect_1(u1_midsp_2(A, B)) &  (v4_rlvect_1(u1_midsp_2(A, B)) &  (v13_algstr_0(u1_midsp_2(A, B)) &  (v2_rlvect_1(u1_midsp_2(A, B)) &  (v1_midsp_2(u2_midsp_2(A, B), A, u1_midsp_2(A, B)) & r1_midsp_2(u1_struct_0(A), u1_midsp_2(A, B), u2_midsp_2(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (l1_midsp_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k9_midsp_2(A, B, C, D)=k2_binop_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(u1_midsp_2(A, B)), u2_midsp_2(A, B), C, D)) ) ) ) ) ) ) ) ).
fof(d14_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  (l1_midsp_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(u1_midsp_2(A, B))) => k10_midsp_2(A, B, C, D)=k2_midsp_2(u1_struct_0(A), u1_midsp_2(A, B), u2_midsp_2(A, B), C, D)) ) ) ) ) ) ) ) ).
fof(d15_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  ( (v4_midsp_2(B, A) & l1_midsp_2(B, A))  => k11_midsp_2(A, B)=k4_struct_0(u1_midsp_2(A, B))) ) ) ) ).
fof(t28_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_midsp_2(A) & l2_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_midsp_1(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  ( (r1_midsp_2(u1_struct_0(B), A, C) & v1_midsp_2(C, B, A))  =>  (k1_midsp_1(B, D, G)=k1_midsp_1(B, E, F) <=> k2_binop_1(u1_struct_0(B), u1_struct_0(B), u1_struct_0(A), C, D, G)=k3_rlvect_1(A, k2_binop_1(u1_struct_0(B), u1_struct_0(B), u1_struct_0(A), C, D, E), k2_binop_1(u1_struct_0(B), u1_struct_0(B), u1_struct_0(A), C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_midsp_2(A) & l2_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_midsp_1(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(A))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( (r1_midsp_2(u1_struct_0(B), A, C) & v1_midsp_2(C, B, A))  =>  (k1_midsp_1(B, D, F)=E <=> k2_binop_1(u1_struct_0(B), u1_struct_0(B), u1_struct_0(A), C, D, F)=k1_midsp_2(A, k2_binop_1(u1_struct_0(B), u1_struct_0(B), u1_struct_0(A), C, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  ( (v4_midsp_2(B, A) & l1_midsp_2(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (k3_midsp_1(A, C, F)=k3_midsp_1(A, D, E) <=> k9_midsp_2(A, B, C, F)=k1_algstr_0(u1_midsp_2(A, B), k9_midsp_2(A, B, C, D), k9_midsp_2(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  ( (v4_midsp_2(B, A) & l1_midsp_2(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (k3_midsp_1(A, C, E)=D <=> k9_midsp_2(A, B, C, E)=k1_midsp_2(u1_midsp_2(A, B), k9_midsp_2(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  ( (v4_midsp_2(B, A) & l1_midsp_2(B, A))  =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(u1_midsp_2(A, B))) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) & k9_midsp_2(A, B, C, E)=D) ) ) ) ) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (k9_midsp_2(A, B, C, D)=k9_midsp_2(A, B, C, E) => D=E) ) ) ) ) ) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k1_algstr_0(u1_midsp_2(A, B), k9_midsp_2(A, B, C, D), k9_midsp_2(A, B, D, E))=k9_midsp_2(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  ( (v4_midsp_2(B, A) & l1_midsp_2(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(u1_midsp_2(A, B))) =>  (k9_midsp_2(A, B, C, C)=k11_midsp_2(A, B) &  ( (k9_midsp_2(A, B, C, D)=k11_midsp_2(A, B) => C=D)  &  (k9_midsp_2(A, B, C, D)=k4_algstr_0(u1_midsp_2(A, B), k9_midsp_2(A, B, D, C)) &  ( (k9_midsp_2(A, B, C, D)=k9_midsp_2(A, B, E, F) => k9_midsp_2(A, B, D, C)=k9_midsp_2(A, B, F, E))  &  ( (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(u1_midsp_2(A, B))) =>  (? [J] :  (m1_subset_1(J, u1_struct_0(A)) & k9_midsp_2(A, B, J, H)=I) ) ) ) ) )  &  ( (k9_midsp_2(A, B, D, C)=k9_midsp_2(A, B, E, C) => D=E)  &  ( (k3_midsp_1(A, C, D)=E => k9_midsp_2(A, B, C, E)=k9_midsp_2(A, B, E, D))  &  ( (k9_midsp_2(A, B, C, E)=k9_midsp_2(A, B, E, D) => k3_midsp_1(A, C, D)=E)  &  ( (k3_midsp_1(A, C, D)=k3_midsp_1(A, E, F) => k9_midsp_2(A, B, C, F)=k9_midsp_2(A, B, E, D))  &  ( (k9_midsp_2(A, B, C, F)=k9_midsp_2(A, B, E, D) => k3_midsp_1(A, C, D)=k3_midsp_1(A, E, F))  &  ( (k9_midsp_2(A, B, C, D)=G => k10_midsp_2(A, B, C, G)=D)  &  (k10_midsp_2(A, B, C, G)=D => k9_midsp_2(A, B, C, D)=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (! [B] :  ( (v4_midsp_2(B, A) & l1_midsp_2(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k10_midsp_2(A, B, C, k11_midsp_2(A, B))=C) ) ) ) ) ) ).
fof(dt_k1_midsp_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k1_midsp_2(A, B), u1_struct_0(A))) ) ).
fof(dt_k2_midsp_2, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  & l2_algstr_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) )  &  (m1_subset_1(D, A) & m1_subset_1(E, u1_struct_0(B))) ) ) )  => m1_subset_1(k2_midsp_2(A, B, C, D, E), A)) ) ).
fof(dt_k3_midsp_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_midsp_2(A) & l2_algstr_0(A)) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k3_midsp_2(A, B), u1_struct_0(A))) ) ).
fof(dt_k4_midsp_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k4_midsp_2(A, B, C), u1_struct_0(k15_midsp_1(A)))) ) ).
fof(dt_k5_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  =>  (v1_funct_1(k5_midsp_2(A)) &  (v1_funct_2(k5_midsp_2(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k15_midsp_1(A))) & m1_subset_1(k5_midsp_2(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(k15_midsp_1(A)))))) ) ) ) ).
fof(dt_k6_midsp_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_midsp_2(B) & l2_algstr_0(B)) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) ) ) )  =>  (v1_funct_1(k6_midsp_2(A, B, C)) &  (v1_funct_2(k6_midsp_2(A, B, C), k2_zfmisc_1(A, A), A) & m1_subset_1(k6_midsp_2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) ) ) ).
fof(dt_k7_midsp_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_midsp_2(B) & l2_algstr_0(B)) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) ) ) )  =>  (v1_funct_1(k7_midsp_2(A, B, C)) &  (v1_funct_2(k7_midsp_2(A, B, C), k2_zfmisc_1(u1_struct_0(g1_midsp_1(A, k6_midsp_2(A, B, C))), u1_struct_0(g1_midsp_1(A, k6_midsp_2(A, B, C)))), u1_struct_0(B)) & m1_subset_1(k7_midsp_2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(g1_midsp_1(A, k6_midsp_2(A, B, C))), u1_struct_0(g1_midsp_1(A, k6_midsp_2(A, B, C)))), u1_struct_0(B))))) ) ) ) ).
fof(dt_k8_midsp_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_midsp_2(B) & l2_algstr_0(B)) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), u1_struct_0(B))))) ) ) )  =>  ( ~ (v2_struct_0(k8_midsp_2(A, B, C)))  &  (v1_midsp_1(k8_midsp_2(A, B, C)) &  (v2_midsp_1(k8_midsp_2(A, B, C)) & l1_midsp_1(k8_midsp_2(A, B, C))) ) ) ) ) ).
fof(abstractness_v3_midsp_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_midsp_1(A))  & l1_midsp_2(B, A))  =>  (v3_midsp_2(B, A) => B=g1_midsp_2(A, u1_midsp_2(A, B), u2_midsp_2(A, B))) ) ) ).
fof(existence_l1_midsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_midsp_1(A))  =>  (? [B] : l1_midsp_2(B, A)) ) ) ).
fof(dt_g1_midsp_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_midsp_1(A))  &  ( ( ~ (v2_struct_0(B))  & l2_algstr_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(B))))) ) ) )  =>  (v3_midsp_2(g1_midsp_2(A, B, C), A) & l1_midsp_2(g1_midsp_2(A, B, C), A)) ) ) ).
fof(free_g1_midsp_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_midsp_1(A))  &  ( ( ~ (v2_struct_0(B))  & l2_algstr_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(B))))) ) ) )  =>  (! [D, E, F] :  (g1_midsp_2(A, B, C)=g1_midsp_2(D, E, F) =>  (A=D &  (B=E & C=F) ) ) ) ) ) ).
fof(dt_u1_midsp_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_midsp_1(A))  & l1_midsp_2(B, A))  =>  ( ~ (v2_struct_0(u1_midsp_2(A, B)))  & l2_algstr_0(u1_midsp_2(A, B))) ) ) ).
fof(dt_u2_midsp_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_midsp_1(A))  & l1_midsp_2(B, A))  =>  (v1_funct_1(u2_midsp_2(A, B)) &  (v1_funct_2(u2_midsp_2(A, B), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(u1_midsp_2(A, B))) & m1_subset_1(u2_midsp_2(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(u1_midsp_2(A, B)))))) ) ) ) ).
fof(dt_k9_midsp_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  &  (l1_midsp_2(B, A) &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, u1_struct_0(A))) ) )  => m1_subset_1(k9_midsp_2(A, B, C, D), u1_struct_0(u1_midsp_2(A, B)))) ) ).
fof(dt_k10_midsp_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  &  (l1_midsp_2(B, A) &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, u1_struct_0(u1_midsp_2(A, B)))) ) )  => m1_subset_1(k10_midsp_2(A, B, C, D), u1_struct_0(A))) ) ).
fof(dt_k11_midsp_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_midsp_1(A) & l1_midsp_1(A)) )  &  (v4_midsp_2(B, A) & l1_midsp_2(B, A)) )  => m1_subset_1(k11_midsp_2(A, B), u1_struct_0(u1_midsp_2(A, B)))) ) ).
fof(rc1_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (l1_midsp_3(B, A) & v1_midsp_3(B, A)) ) ) ) ).
fof(fc1_midsp_3, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(A, B), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A, B), B)))) ) ) ) )  =>  ( ~ (v2_struct_0(g1_midsp_3(A, B, C, D)))  & v1_midsp_3(g1_midsp_3(A, B, C, D), A)) ) ) ).
fof(rc2_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (l1_midsp_3(B, A) &  ~ (v2_struct_0(B)) ) ) ) ) ).
fof(rc3_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (l1_midsp_3(B, k1_nat_1(A, 2)) &  ( ~ (v2_struct_0(B))  & v2_midsp_1(B)) ) ) ) ) ).
fof(t1_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m2_finseq_1(D, C) =>  ~ ( (k3_finseq_1(D)=k2_xcmplx_0(k1_nat_1(A, 1), B) &  (! [E] :  (m2_finseq_1(E, C) =>  (! [F] :  (m2_finseq_1(F, C) =>  (! [G] :  (m1_subset_1(G, C) =>  ~ ( (k3_finseq_1(E)=A &  (k3_finseq_1(F)=B & D=k8_finseq_1(C, k8_finseq_1(C, E, k12_finseq_1(C, G)), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r2_tarski(B, k2_finseq_1(A)) &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (A=k2_xcmplx_0(k1_nat_1(C, 1), D) & B=k1_nat_1(C, 1)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  (m2_finseq_1(D, B) =>  (! [E] :  (m2_finseq_1(E, B) =>  (! [F] :  (m2_finseq_1(F, B) =>  ( (D=k8_finseq_1(B, k8_finseq_1(B, E, k12_finseq_1(B, C)), F) & A=k1_nat_1(k3_finseq_1(E), 1))  =>  ( (! [G] :  (v7_ordinal1(G) =>  ( (r1_xxreal_0(1, G) & r1_xxreal_0(G, k3_finseq_1(E)))  => k1_funct_1(D, G)=k1_funct_1(E, G)) ) )  &  (k1_funct_1(D, A)=C &  (! [G] :  (v7_ordinal1(G) =>  ( (r1_xxreal_0(k1_nat_1(A, 1), G) & r1_xxreal_0(G, k3_finseq_1(D)))  => k1_funct_1(D, G)=k1_funct_1(F, k6_xcmplx_0(G, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  ( ~ (B=k1_nat_1(A, 1))  &  ~ (r1_xxreal_0(k1_nat_1(A, 2), B)) ) ) ) ) ) ) ) ).
fof(t5_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(D, k7_subset_1(k4_ordinal1, k2_finseq_1(A), k1_tarski(B))) &  (B=k1_nat_1(C, 1) &  ( ~ ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, C)) )  &  ~ ( (r1_xxreal_0(k1_nat_1(B, 1), D) & r1_xxreal_0(D, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_midsp_1(B) & l1_midsp_3(B, k1_nat_1(A, 2))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(B), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(B))) => k4_midsp_3(A, B, C, D)=k1_funct_1(u1_midsp_3(k1_nat_1(A, 2), B), k3_midsp_3(A, B, 1, k1_nat_1(A, 1), k2_midsp_3(A, B, C), D))) ) ) ) ) ) ) ) ).
fof(t6_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_midsp_1(C) & l1_midsp_3(C, k1_nat_1(A, 2))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m2_finseq_2(E, u1_struct_0(C), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(C))) =>  (r2_tarski(B, k2_finseq_1(k1_nat_1(A, 1))) =>  (k1_funct_1(k1_midsp_3(u1_struct_0(C), k1_nat_1(A, 1), E, B, D), B)=D &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k7_subset_1(k4_ordinal1, k4_finseq_1(E), k1_tarski(B))) => k1_funct_1(k1_midsp_3(u1_struct_0(C), k1_nat_1(A, 1), E, B, D), F)=k1_funct_1(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (m1_midsp_3(B, A) <=>  (r1_xxreal_0(1, B) & r1_xxreal_0(B, k1_nat_1(A, 1))) ) ) ) ) ) ).
fof(t7_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (m1_midsp_3(B, A) <=> r2_tarski(B, k2_finseq_1(k1_nat_1(A, 1)))) ) ) ) ) ).
fof(t8_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(B, A) => m1_midsp_3(k1_nat_1(B, 1), A)) ) ) ) ) ).
fof(t9_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_midsp_1(B) & l1_midsp_3(B, k1_nat_1(A, 2))) )  =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(B), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(B))) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(B), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(B))) =>  ( (! [E] :  (m1_midsp_3(E, A) => k1_funct_1(C, E)=k1_funct_1(D, E)) )  => C=D) ) ) ) ) ) ) ) ) ).
fof(t10_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_midsp_1(C) & l1_midsp_3(C, k1_nat_1(A, 2))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m2_finseq_2(E, u1_struct_0(C), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(C))) =>  (! [F] :  (m1_midsp_3(F, A) =>  (F=B => k1_funct_1(k1_midsp_3(u1_struct_0(C), k1_nat_1(A, 1), E, B, D), F)=D) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_midsp_1(B) & l1_midsp_3(B, k1_nat_1(A, 2))) )  =>  (v2_midsp_3(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m2_finseq_2(E, u1_struct_0(B), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(B))) =>  (! [F] :  (m2_finseq_2(F, u1_struct_0(B), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(B))) =>  ( (! [G] :  (m1_midsp_3(G, A) => k3_midsp_1(B, C, k5_midsp_3(A, u1_struct_0(B), F, G))=k3_midsp_1(B, D, k5_midsp_3(A, u1_struct_0(B), E, G))) )  => k3_midsp_1(B, C, k4_midsp_3(A, B, D, F))=k3_midsp_1(B, D, k4_midsp_3(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_midsp_1(C) & l1_midsp_3(C, k1_nat_1(A, 2))) )  =>  (r1_midsp_3(A, B, C) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m2_finseq_2(E, u1_struct_0(C), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(C))) => k4_midsp_3(A, C, D, k6_midsp_3(A, C, E, B, D))=D) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_midsp_1(C) & l1_midsp_3(C, k1_nat_1(A, 2))) )  =>  (r2_midsp_3(A, B, C) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (m2_finseq_2(F, u1_struct_0(C), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(C))) =>  (k1_funct_1(F, B)=E => k4_midsp_3(A, C, D, k6_midsp_3(A, C, F, B, k3_midsp_1(C, D, E)))=k3_midsp_1(C, D, k4_midsp_3(A, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_midsp_1(B) & l1_midsp_3(B, k1_nat_1(A, 2))) )  =>  (! [C] :  (m1_midsp_3(C, A) =>  (r2_midsp_3(A, C, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m2_finseq_2(F, u1_struct_0(B), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(B))) =>  (! [G] :  (m2_finseq_2(G, u1_struct_0(B), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(B))) =>  (G=k6_midsp_3(A, B, F, C, E) => k4_midsp_3(A, B, D, k6_midsp_3(A, B, F, C, k3_midsp_1(B, D, E)))=k3_midsp_1(B, D, k4_midsp_3(A, B, D, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_midsp_1(C) & l1_midsp_3(C, k1_nat_1(A, 2))) )  =>  (r3_midsp_3(A, B, C) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  (! [G] :  (m2_finseq_2(G, u1_struct_0(C), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(C))) =>  (k1_funct_1(G, B)=E => k4_midsp_3(A, C, D, k6_midsp_3(A, C, G, B, k3_midsp_1(C, E, F)))=k3_midsp_1(C, k4_midsp_3(A, C, D, G), k4_midsp_3(A, C, D, k6_midsp_3(A, C, G, B, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_midsp_1(C) & l1_midsp_3(C, k1_nat_1(A, 2))) )  =>  (r4_midsp_3(A, B, C) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m2_finseq_2(E, u1_struct_0(C), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(C))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  (k1_funct_1(E, B)=F => k4_midsp_3(A, C, D, k6_midsp_3(A, C, E, k1_nat_1(B, 1), F))=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_midsp_1(C) & l1_midsp_3(C, k1_nat_1(A, 2))) )  =>  (! [D] :  ( (v4_midsp_2(D, C) & l1_midsp_2(D, C))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(u1_midsp_2(C, D))) =>  (! [F] :  (m2_finseq_2(F, u1_struct_0(u1_midsp_2(C, D)), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(u1_midsp_2(C, D)))) =>  (r2_tarski(B, k2_finseq_1(k1_nat_1(A, 1))) =>  (k1_funct_1(k1_midsp_3(u1_struct_0(u1_midsp_2(C, D)), k1_nat_1(A, 1), F, B, E), B)=E &  (! [G] :  (v7_ordinal1(G) =>  (r2_tarski(G, k7_subset_1(k4_ordinal1, k4_finseq_1(F), k1_tarski(B))) => k1_funct_1(k1_midsp_3(u1_struct_0(u1_midsp_2(C, D)), k1_nat_1(A, 1), F, B, E), G)=k1_funct_1(F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_midsp_1(C) & l1_midsp_3(C, k1_nat_1(A, 2))) )  =>  (! [D] :  ( (v4_midsp_2(D, C) & l1_midsp_2(D, C))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(u1_midsp_2(C, D))) =>  (! [F] :  (m2_finseq_2(F, u1_struct_0(u1_midsp_2(C, D)), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(u1_midsp_2(C, D)))) =>  ( (! [G] :  (m1_midsp_3(G, A) =>  (G=B => k5_midsp_3(A, u1_struct_0(u1_midsp_2(C, D)), k1_midsp_3(u1_struct_0(u1_midsp_2(C, D)), k1_nat_1(A, 1), F, B, E), G)=E) ) )  &  (! [G] :  (m1_midsp_3(G, A) =>  (! [H] :  (m1_midsp_3(H, A) =>  ( ~ (G=H)  => k5_midsp_3(A, u1_struct_0(u1_midsp_2(C, D)), k1_midsp_3(u1_struct_0(u1_midsp_2(C, D)), k1_nat_1(A, 1), F, H, E), G)=k5_midsp_3(A, u1_struct_0(u1_midsp_2(C, D)), F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_midsp_1(B) & l1_midsp_3(B, k1_nat_1(A, 2))) )  =>  (! [C] :  ( (v4_midsp_2(C, B) & l1_midsp_2(C, B))  =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(u1_midsp_2(B, C)), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(u1_midsp_2(B, C)))) =>  (! [E] :  (m2_finseq_2(E, u1_struct_0(u1_midsp_2(B, C)), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(u1_midsp_2(B, C)))) =>  ( (! [F] :  (m1_midsp_3(F, A) => k5_midsp_3(A, u1_struct_0(u1_midsp_2(B, C)), D, F)=k5_midsp_3(A, u1_struct_0(u1_midsp_2(B, C)), E, F)) )  => D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_midsp_1(B) & l1_midsp_3(B, k1_nat_1(A, 2))) )  =>  (! [C] :  ( (v4_midsp_2(C, B) & l1_midsp_2(C, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m2_finseq_2(E, u1_struct_0(u1_midsp_2(B, C)), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(u1_midsp_2(B, C)))) =>  (! [F] :  (m2_finseq_2(F, u1_struct_0(B), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(B))) =>  (F=k7_midsp_3(A, B, C, D, E) <=>  (! [G] :  (m1_midsp_3(G, A) => k5_midsp_3(A, u1_struct_0(B), F, G)=k10_midsp_2(B, C, D, k5_midsp_3(A, u1_struct_0(u1_midsp_2(B, C)), E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_midsp_1(B) & l1_midsp_3(B, k1_nat_1(A, 2))) )  =>  (! [C] :  ( (v4_midsp_2(C, B) & l1_midsp_2(C, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m2_finseq_2(E, u1_struct_0(B), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(B))) =>  (! [F] :  (m2_finseq_2(F, u1_struct_0(u1_midsp_2(B, C)), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(u1_midsp_2(B, C)))) =>  (F=k8_midsp_3(A, B, C, D, E) <=>  (! [G] :  (m1_midsp_3(G, A) => k5_midsp_3(A, u1_struct_0(u1_midsp_2(B, C)), F, G)=k9_midsp_2(B, C, D, k5_midsp_3(A, u1_struct_0(B), E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_midsp_1(B) & l1_midsp_3(B, k1_nat_1(A, 2))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(B), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(B))) =>  (! [E] :  ( (v4_midsp_2(E, B) & l1_midsp_2(E, B))  =>  (! [F] :  (m2_finseq_2(F, u1_struct_0(u1_midsp_2(B, E)), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(u1_midsp_2(B, E)))) =>  (k8_midsp_3(A, B, E, C, D)=F <=> k7_midsp_3(A, B, E, C, F)=D) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_midsp_1(B) & l1_midsp_3(B, k1_nat_1(A, 2))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v4_midsp_2(D, B) & l1_midsp_2(D, B))  =>  (! [E] :  (m2_finseq_2(E, u1_struct_0(u1_midsp_2(B, D)), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(u1_midsp_2(B, D)))) => k8_midsp_3(A, B, D, C, k7_midsp_3(A, B, D, C, E))=E) ) ) ) ) ) ) ) ) ) ).
fof(t17_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_midsp_1(B) & l1_midsp_3(B, k1_nat_1(A, 2))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(B), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(B))) =>  (! [E] :  ( (v4_midsp_2(E, B) & l1_midsp_2(E, B))  => k7_midsp_3(A, B, E, C, k8_midsp_3(A, B, E, C, D))=D) ) ) ) ) ) ) ) ) ) ).
fof(d10_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_midsp_1(B) & l1_midsp_3(B, k1_nat_1(A, 2))) )  =>  (! [C] :  ( (v4_midsp_2(C, B) & l1_midsp_2(C, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m2_finseq_2(E, u1_struct_0(u1_midsp_2(B, C)), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(u1_midsp_2(B, C)))) => k9_midsp_3(A, B, C, D, E)=k9_midsp_2(B, C, D, k4_midsp_3(A, B, D, k7_midsp_3(A, B, C, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t18_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_midsp_1(B) & l1_midsp_3(B, k1_nat_1(A, 2))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m2_finseq_2(E, u1_struct_0(B), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(B))) =>  (! [F] :  ( (v4_midsp_2(F, B) & l1_midsp_2(F, B))  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(u1_midsp_2(B, F))) =>  (! [H] :  (m2_finseq_2(H, u1_struct_0(u1_midsp_2(B, F)), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(u1_midsp_2(B, F)))) =>  ( (k8_midsp_3(A, B, F, C, E)=H & k9_midsp_2(B, F, C, D)=G)  =>  (k4_midsp_3(A, B, C, E)=D <=> k9_midsp_3(A, B, F, C, H)=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_midsp_1(B) & l1_midsp_3(B, k1_nat_1(A, 2))) )  =>  (! [C] :  ( (v4_midsp_2(C, B) & l1_midsp_2(C, B))  =>  (v2_midsp_3(B, A) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m2_finseq_2(F, u1_struct_0(u1_midsp_2(B, C)), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(u1_midsp_2(B, C)))) => k9_midsp_3(A, B, C, D, F)=k9_midsp_3(A, B, C, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) => r2_tarski(1, k2_finseq_1(k1_nat_1(A, 1)))) ) ).
fof(t21_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) => m1_midsp_3(1, A)) ) ).
fof(d11_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_midsp_1(B) & l1_midsp_3(B, k1_nat_1(A, 2))) )  =>  (m2_midsp_3(B, A) <=> v2_midsp_3(B, A)) ) ) ) ) ).
fof(t22_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_midsp_3(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v4_midsp_2(E, B) & l1_midsp_2(E, B))  =>  (! [F] :  (m2_finseq_2(F, u1_struct_0(u1_midsp_2(B, E)), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(u1_midsp_2(B, E)))) => k9_midsp_3(A, B, E, C, F)=k9_midsp_3(A, B, E, D, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_midsp_3(B, A) =>  (! [C] :  ( (v4_midsp_2(C, B) & l1_midsp_2(C, B))  =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(u1_midsp_2(B, C)), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(u1_midsp_2(B, C)))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(u1_midsp_2(B, C))) =>  (E=k10_midsp_3(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) => E=k9_midsp_3(A, B, C, F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_midsp_3(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m2_finseq_2(E, u1_struct_0(B), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(B))) =>  (! [F] :  ( (v4_midsp_2(F, B) & l1_midsp_2(F, B))  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(u1_midsp_2(B, F))) =>  (! [H] :  (m2_finseq_2(H, u1_struct_0(u1_midsp_2(B, F)), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(u1_midsp_2(B, F)))) =>  ( (k8_midsp_3(A, B, F, C, E)=H &  (k9_midsp_2(B, F, C, D)=G & k10_midsp_3(A, B, F, H)=G) )  => k4_midsp_3(A, B, C, E)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_midsp_3(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m2_finseq_2(E, u1_struct_0(B), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(B))) =>  (! [F] :  ( (v4_midsp_2(F, B) & l1_midsp_2(F, B))  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(u1_midsp_2(B, F))) =>  (! [H] :  (m2_finseq_2(H, u1_struct_0(u1_midsp_2(B, F)), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(u1_midsp_2(B, F)))) =>  ( (k7_midsp_3(A, B, F, C, H)=E &  (k10_midsp_2(B, F, C, G)=D & k4_midsp_3(A, B, C, E)=D) )  => k10_midsp_3(A, B, F, H)=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_midsp_3(B, A) =>  (! [C] :  (m2_midsp_3(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (m2_finseq_2(F, u1_struct_0(C), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(C))) =>  (! [G] :  ( (v4_midsp_2(G, C) & l1_midsp_2(G, C))  =>  (! [H] :  (m1_subset_1(H, u1_struct_0(u1_midsp_2(C, G))) =>  (! [I] :  (m2_finseq_2(I, u1_struct_0(u1_midsp_2(C, G)), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(u1_midsp_2(C, G)))) =>  ( (k8_midsp_3(A, C, G, D, F)=I & k9_midsp_2(C, G, D, E)=H)  => k8_midsp_3(A, C, G, D, k6_midsp_3(A, C, F, B, E))=k1_midsp_3(u1_struct_0(u1_midsp_2(C, G)), k1_nat_1(A, 1), I, B, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_midsp_3(B, A) =>  (! [C] :  (m2_midsp_3(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (m2_finseq_2(F, u1_struct_0(C), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(C))) =>  (! [G] :  ( (v4_midsp_2(G, C) & l1_midsp_2(G, C))  =>  (! [H] :  (m1_subset_1(H, u1_struct_0(u1_midsp_2(C, G))) =>  (! [I] :  (m2_finseq_2(I, u1_struct_0(u1_midsp_2(C, G)), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(u1_midsp_2(C, G)))) =>  ( (k7_midsp_3(A, C, G, D, I)=F & k10_midsp_2(C, G, D, H)=E)  => k7_midsp_3(A, C, G, D, k1_midsp_3(u1_struct_0(u1_midsp_2(C, G)), k1_nat_1(A, 1), I, B, H))=k6_midsp_3(A, C, F, B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_midsp_3(B, A) =>  (! [C] :  (m2_midsp_3(C, A) =>  (! [D] :  ( (v4_midsp_2(D, C) & l1_midsp_2(D, C))  =>  (r1_midsp_3(A, B, C) <=>  (! [E] :  (m2_finseq_2(E, u1_struct_0(u1_midsp_2(C, D)), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(u1_midsp_2(C, D)))) => k10_midsp_3(A, C, D, k1_midsp_3(u1_struct_0(u1_midsp_2(C, D)), k1_nat_1(A, 1), E, B, k11_midsp_2(C, D)))=k11_midsp_2(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_midsp_3(B, A) =>  (! [C] :  (m2_midsp_3(C, A) =>  (! [D] :  ( (v4_midsp_2(D, C) & l1_midsp_2(D, C))  =>  (r2_midsp_3(A, B, C) <=>  (! [E] :  (m2_finseq_2(E, u1_struct_0(u1_midsp_2(C, D)), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(u1_midsp_2(C, D)))) => k10_midsp_3(A, C, D, k1_midsp_3(u1_struct_0(u1_midsp_2(C, D)), k1_nat_1(A, 1), E, B, k1_midsp_2(u1_midsp_2(C, D), k5_midsp_3(A, u1_struct_0(u1_midsp_2(C, D)), E, B))))=k1_midsp_2(u1_midsp_2(C, D), k10_midsp_3(A, C, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_midsp_3(B, A) =>  (! [C] :  (m2_midsp_3(C, A) =>  ( (r1_midsp_3(A, B, C) & r3_midsp_3(A, B, C))  => r2_midsp_3(A, B, C)) ) ) ) ) ) ) ).
fof(t30_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_midsp_3(B, A) =>  (! [C] :  (m2_midsp_3(C, A) =>  (! [D] :  ( (v4_midsp_2(D, C) & l1_midsp_2(D, C))  =>  (r1_midsp_3(A, B, C) =>  (r3_midsp_3(A, B, C) <=>  (! [E] :  (m2_finseq_2(E, u1_struct_0(u1_midsp_2(C, D)), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(u1_midsp_2(C, D)))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(u1_midsp_2(C, D))) => k10_midsp_3(A, C, D, k1_midsp_3(u1_struct_0(u1_midsp_2(C, D)), k1_nat_1(A, 1), E, B, k1_algstr_0(u1_midsp_2(C, D), k5_midsp_3(A, u1_struct_0(u1_midsp_2(C, D)), E, B), F)))=k1_algstr_0(u1_midsp_2(C, D), k10_midsp_3(A, C, D, E), k10_midsp_3(A, C, D, k1_midsp_3(u1_struct_0(u1_midsp_2(C, D)), k1_nat_1(A, 1), E, B, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_midsp_3(B, A) =>  (! [C] :  (m2_midsp_3(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m2_finseq_2(E, u1_struct_0(C), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(C))) =>  (! [F] :  ( (v4_midsp_2(F, C) & l1_midsp_2(F, C))  =>  (! [G] :  (m2_finseq_2(G, u1_struct_0(u1_midsp_2(C, F)), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(u1_midsp_2(C, F)))) =>  ( (k8_midsp_3(A, C, F, D, E)=G & r1_xxreal_0(B, A))  => k8_midsp_3(A, C, F, D, k6_midsp_3(A, C, E, k1_nat_1(B, 1), k5_midsp_3(A, u1_struct_0(C), E, B)))=k1_midsp_3(u1_struct_0(u1_midsp_2(C, F)), k1_nat_1(A, 1), G, k1_nat_1(B, 1), k5_midsp_3(A, u1_struct_0(u1_midsp_2(C, F)), G, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_midsp_3(B, A) =>  (! [C] :  (m2_midsp_3(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m2_finseq_2(E, u1_struct_0(C), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(C))) =>  (! [F] :  ( (v4_midsp_2(F, C) & l1_midsp_2(F, C))  =>  (! [G] :  (m2_finseq_2(G, u1_struct_0(u1_midsp_2(C, F)), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(u1_midsp_2(C, F)))) =>  ( (k7_midsp_3(A, C, F, D, G)=E & r1_xxreal_0(B, A))  => k7_midsp_3(A, C, F, D, k1_midsp_3(u1_struct_0(u1_midsp_2(C, F)), k1_nat_1(A, 1), G, k1_nat_1(B, 1), k5_midsp_3(A, u1_struct_0(u1_midsp_2(C, F)), G, B)))=k6_midsp_3(A, C, E, k1_nat_1(B, 1), k5_midsp_3(A, u1_struct_0(C), E, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_midsp_3(B, A) =>  (! [C] :  (m2_midsp_3(C, A) =>  (! [D] :  ( (v4_midsp_2(D, C) & l1_midsp_2(D, C))  =>  (r1_xxreal_0(B, A) =>  (r4_midsp_3(A, B, C) <=>  (! [E] :  (m2_finseq_2(E, u1_struct_0(u1_midsp_2(C, D)), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(u1_midsp_2(C, D)))) => k10_midsp_3(A, C, D, k1_midsp_3(u1_struct_0(u1_midsp_2(C, D)), k1_nat_1(A, 1), E, k1_nat_1(B, 1), k5_midsp_3(A, u1_struct_0(u1_midsp_2(C, D)), E, B)))=k11_midsp_2(C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_midsp_3, axiom,  (? [A] :  (m2_finseq_1(A, f2_s1_midsp_3) &  (k3_finseq_1(A)=k1_nat_1(f1_s1_midsp_3, 1) &  (! [B] :  (m1_midsp_3(B, f1_s1_midsp_3) => k1_funct_1(A, B)=f3_s1_midsp_3(B)) ) ) ) ) ).
fof(dt_k1_midsp_3, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  (m1_subset_1(C, k4_finseq_2(B, A)) &  (v7_ordinal1(D) & m1_subset_1(E, A)) ) ) )  => m2_finseq_2(k1_midsp_3(A, B, C, D, E), A, k4_finseq_2(B, A))) ) ).
fof(redefinition_k1_midsp_3, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  (m1_subset_1(C, k4_finseq_2(B, A)) &  (v7_ordinal1(D) & m1_subset_1(E, A)) ) ) )  => k1_midsp_3(A, B, C, D, E)=k1_funct_7(C, D, E)) ) ).
fof(abstractness_v1_midsp_3, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & l1_midsp_3(B, A))  =>  (v1_midsp_3(B, A) => B=g1_midsp_3(A, u1_struct_0(B), u1_midsp_1(B), u1_midsp_3(A, B))) ) ) ).
fof(dt_l1_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (l1_midsp_3(B, A) => l1_midsp_1(B)) ) ) ) ).
fof(existence_l1_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] : l1_midsp_3(B, A)) ) ) ).
fof(dt_g1_midsp_3, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(A, B), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A, B), B)))) ) ) )  =>  (v1_midsp_3(g1_midsp_3(A, B, C, D), A) & l1_midsp_3(g1_midsp_3(A, B, C, D), A)) ) ) ).
fof(free_g1_midsp_3, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(A, B), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A, B), B)))) ) ) )  =>  (! [E, F, G, H] :  (g1_midsp_3(A, B, C, D)=g1_midsp_3(E, F, G, H) =>  (A=E &  (B=F &  (C=G & D=H) ) ) ) ) ) ) ).
fof(dt_u1_midsp_3, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & l1_midsp_3(B, A))  =>  (v1_funct_1(u1_midsp_3(A, B)) &  (v1_funct_2(u1_midsp_3(A, B), k4_finseq_2(A, u1_struct_0(B)), u1_struct_0(B)) & m1_subset_1(u1_midsp_3(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A, u1_struct_0(B)), u1_struct_0(B))))) ) ) ) ).
fof(dt_k2_midsp_3, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  (v2_midsp_1(B) & l1_midsp_3(B, k1_nat_1(A, 2))) )  & m1_subset_1(C, u1_struct_0(B))) )  => m2_finseq_2(k2_midsp_3(A, B, C), u1_struct_0(B), k4_finseq_2(1, u1_struct_0(B)))) ) ).
fof(redefinition_k2_midsp_3, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  (v2_midsp_1(B) & l1_midsp_3(B, k1_nat_1(A, 2))) )  & m1_subset_1(C, u1_struct_0(B))) )  => k2_midsp_3(A, B, C)=k5_finseq_1(C)) ) ).
fof(dt_k3_midsp_3, axiom,  (! [A, B, C, D, E, F] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  (v2_midsp_1(B) & l1_midsp_3(B, k1_nat_1(A, 2))) )  &  (v7_ordinal1(C) &  (v7_ordinal1(D) &  (m1_subset_1(E, k4_finseq_2(C, u1_struct_0(B))) & m1_subset_1(F, k4_finseq_2(D, u1_struct_0(B)))) ) ) ) )  => m2_finseq_2(k3_midsp_3(A, B, C, D, E, F), u1_struct_0(B), k4_finseq_2(k2_xcmplx_0(C, D), u1_struct_0(B)))) ) ).
fof(redefinition_k3_midsp_3, axiom,  (! [A, B, C, D, E, F] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  (v2_midsp_1(B) & l1_midsp_3(B, k1_nat_1(A, 2))) )  &  (v7_ordinal1(C) &  (v7_ordinal1(D) &  (m1_subset_1(E, k4_finseq_2(C, u1_struct_0(B))) & m1_subset_1(F, k4_finseq_2(D, u1_struct_0(B)))) ) ) ) )  => k3_midsp_3(A, B, C, D, E, F)=k7_finseq_1(E, F)) ) ).
fof(dt_k4_midsp_3, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  (v2_midsp_1(B) & l1_midsp_3(B, k1_nat_1(A, 2))) )  &  (m1_subset_1(C, u1_struct_0(B)) & m1_subset_1(D, k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(B)))) ) )  => m1_subset_1(k4_midsp_3(A, B, C, D), u1_struct_0(B))) ) ).
fof(dt_m1_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_midsp_3(B, A) => v7_ordinal1(B)) ) ) ) ).
fof(existence_m1_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] : m1_midsp_3(B, A)) ) ) ).
fof(dt_k5_midsp_3, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k4_finseq_2(k1_nat_1(A, 1), B)) & m1_midsp_3(D, A)) ) )  => m1_subset_1(k5_midsp_3(A, B, C, D), B)) ) ).
fof(redefinition_k5_midsp_3, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k4_finseq_2(k1_nat_1(A, 1), B)) & m1_midsp_3(D, A)) ) )  => k5_midsp_3(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(dt_k6_midsp_3, axiom,  (! [A, B, C, D, E] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  (v2_midsp_1(B) & l1_midsp_3(B, k1_nat_1(A, 2))) )  &  (m1_subset_1(C, k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(B))) &  (v7_ordinal1(D) & m1_subset_1(E, u1_struct_0(B))) ) ) )  => m2_finseq_2(k6_midsp_3(A, B, C, D, E), u1_struct_0(B), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(B)))) ) ).
fof(redefinition_k6_midsp_3, axiom,  (! [A, B, C, D, E] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  (v2_midsp_1(B) & l1_midsp_3(B, k1_nat_1(A, 2))) )  &  (m1_subset_1(C, k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(B))) &  (v7_ordinal1(D) & m1_subset_1(E, u1_struct_0(B))) ) ) )  => k6_midsp_3(A, B, C, D, E)=k1_funct_7(C, D, E)) ) ).
fof(dt_f1_s1_midsp_3, axiom, v7_ordinal1(f1_s1_midsp_3)).
fof(dt_f2_s1_midsp_3, axiom,  ~ (v1_xboole_0(f2_s1_midsp_3)) ).
fof(dt_f3_s1_midsp_3, axiom,  (! [A] : m1_subset_1(f3_s1_midsp_3(A), f2_s1_midsp_3)) ).
fof(dt_k7_midsp_3, axiom,  (! [A, B, C, D, E] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  (v2_midsp_1(B) & l1_midsp_3(B, k1_nat_1(A, 2))) )  &  ( (v4_midsp_2(C, B) & l1_midsp_2(C, B))  &  (m1_subset_1(D, u1_struct_0(B)) & m1_subset_1(E, k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(u1_midsp_2(B, C))))) ) ) )  => m2_finseq_2(k7_midsp_3(A, B, C, D, E), u1_struct_0(B), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(B)))) ) ).
fof(dt_k8_midsp_3, axiom,  (! [A, B, C, D, E] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  (v2_midsp_1(B) & l1_midsp_3(B, k1_nat_1(A, 2))) )  &  ( (v4_midsp_2(C, B) & l1_midsp_2(C, B))  &  (m1_subset_1(D, u1_struct_0(B)) & m1_subset_1(E, k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(B)))) ) ) )  => m2_finseq_2(k8_midsp_3(A, B, C, D, E), u1_struct_0(u1_midsp_2(B, C)), k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(u1_midsp_2(B, C))))) ) ).
fof(dt_k9_midsp_3, axiom,  (! [A, B, C, D, E] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  (v2_midsp_1(B) & l1_midsp_3(B, k1_nat_1(A, 2))) )  &  ( (v4_midsp_2(C, B) & l1_midsp_2(C, B))  &  (m1_subset_1(D, u1_struct_0(B)) & m1_subset_1(E, k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(u1_midsp_2(B, C))))) ) ) )  => m1_subset_1(k9_midsp_3(A, B, C, D, E), u1_struct_0(u1_midsp_2(B, C)))) ) ).
fof(dt_m2_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_midsp_3(B, A) =>  ( ~ (v2_struct_0(B))  &  (v2_midsp_1(B) & l1_midsp_3(B, k1_nat_1(A, 2))) ) ) ) ) ) ).
fof(existence_m2_midsp_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] : m2_midsp_3(B, A)) ) ) ).
fof(dt_k10_midsp_3, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (m2_midsp_3(B, A) &  ( (v4_midsp_2(C, B) & l1_midsp_2(C, B))  & m1_subset_1(D, k4_finseq_2(k1_nat_1(A, 1), u1_struct_0(u1_midsp_2(B, C))))) ) )  => m1_subset_1(k10_midsp_3(A, B, C, D), u1_struct_0(u1_midsp_2(B, C)))) ) ).
fof(fc1_mmlquer2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_relat_2(A))  &  (v1_relat_1(B) & v1_relat_2(B)) )  =>  (v1_relat_1(k1_mmlquer2(A, B)) & v1_relat_2(k1_mmlquer2(A, B))) ) ) ).
fof(fc2_mmlquer2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v4_relat_2(A))  &  (v1_relat_1(B) & v4_relat_2(B)) )  =>  (v1_relat_1(k1_mmlquer2(A, B)) & v4_relat_2(k1_mmlquer2(A, B))) ) ) ).
fof(cc1_mmlquer2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  ( (v6_relat_2(B) &  (v8_relat_2(B) & v1_partfun1(B, A)) )  => v1_mmlquer2(B, A)) ) ) ) ).
fof(rc1_mmlquer2, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, A) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & v1_partfun1(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(fc3_mmlquer2, axiom,  (! [A, B, C] :  ( ( (v8_relat_2(B) &  (v1_mmlquer2(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (v1_relat_1(k1_mmlquer2(B, C)) & v8_relat_2(k1_mmlquer2(B, C))) ) ) ).
fof(fc4_mmlquer2, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (v1_relat_2(C) &  (v1_partfun1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (v1_relat_2(k1_mmlquer2(B, C)) & v1_partfun1(k1_mmlquer2(B, C), A)) ) ) ).
fof(fc5_mmlquer2, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (v1_relat_2(C) &  (v6_relat_2(C) &  (v1_partfun1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  =>  (v1_relat_1(k1_mmlquer2(B, C)) & v6_relat_2(k1_mmlquer2(B, C))) ) ) ).
fof(fc6_mmlquer2, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (v4_relat_2(k3_mmlquer2(A, B)) &  (v8_relat_2(k3_mmlquer2(A, B)) & v1_mmlquer2(k3_mmlquer2(A, B), A)) ) ) ) ).
fof(fc7_mmlquer2, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (v4_relat_2(k5_mmlquer2(A, B)) &  (v8_relat_2(k5_mmlquer2(A, B)) & v1_mmlquer2(k5_mmlquer2(A, B), A)) ) ) ) ).
fof(fc8_mmlquer2, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => v7_ordinal1(k6_mmlquer2(A, B))) ) ).
fof(fc9_mmlquer2, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  &  (v1_relat_1(C) & v1_funct_1(C)) )  =>  (v4_relat_2(k7_mmlquer2(A, B, C)) &  (v8_relat_2(k7_mmlquer2(A, B, C)) & v1_mmlquer2(k7_mmlquer2(A, B, C), A)) ) ) ) ).
fof(cc2_mmlquer2, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) &  (v2_relat_2(A) & v1_rewrite1(A)) ) ) ) ).
fof(rc2_mmlquer2, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (v1_xboole_0(B) &  (v1_relat_1(B) &  (v4_relat_1(B, A) & v5_relat_1(B, A)) ) ) ) ) ) ).
fof(fc10_mmlquer2, axiom,  (! [A, B] :  ( (v2_relat_2(B) &  (v1_finset_1(B) &  (v1_rewrite1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (v4_relat_2(k9_mmlquer2(A, B)) &  (v8_relat_2(k9_mmlquer2(A, B)) & v1_mmlquer2(k9_mmlquer2(A, B), A)) ) ) ) ).
fof(cc3_mmlquer2, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  ( (v1_relat_2(B) &  (v4_relat_2(B) &  (v8_relat_2(B) & v1_partfun1(B, A)) ) )  =>  (v1_relat_2(B) &  (v4_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & v1_wellord1(B)) ) ) ) ) ) ) ) ) ).
fof(cc4_mmlquer2, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  ( (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & v1_partfun1(B, A)) ) ) )  =>  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & v2_wellord1(B)) ) ) ) ) ) ) ) ) ) ).
fof(fc11_mmlquer2, axiom,  (! [A, B, C] :  ( (v1_finset_1(A) &  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (v1_relat_2(C) &  (v4_relat_2(C) &  (v6_relat_2(C) &  (v8_relat_2(C) &  (v1_partfun1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ) )  =>  (v4_relat_2(k11_mmlquer2(A, B, C)) &  (v8_relat_2(k11_mmlquer2(A, B, C)) & v1_mmlquer2(k11_mmlquer2(A, B, C), A)) ) ) ) ).
fof(t1_mmlquer2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) => r1_tarski(k1_relat_1(B), A)) ) ) ).
fof(t2_mmlquer2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (r1_mmlquery(B, C, D) =>  (r2_tarski(B, A) & r2_tarski(C, A)) ) ) ) ) ) ) ).
fof(t3_mmlquer2, axiom,  (! [A] :  (! [B] : k7_relset_1(A, A, k6_partfun1(A), B)=k3_xboole_0(A, B)) ) ).
fof(t4_mmlquer2, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (! [D] :  (r2_hidden(k4_tarski(C, D), k1_toler_1(B, A)) <=>  (r2_tarski(C, A) &  (r2_tarski(D, A) & r2_hidden(k4_tarski(C, D), B)) ) ) ) ) ) ) ) ).
fof(t5_mmlquer2, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) => r1_tarski(k9_xtuple_0(k6_relat_1(A, B)), k9_xtuple_0(B))) ) ) ).
fof(t6_mmlquer2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (v1_relat_2(k1_toler_1(B, C)) &  (v1_partfun1(k1_toler_1(B, C), C) & m1_subset_1(k1_toler_1(B, C), k1_zfmisc_1(k2_zfmisc_1(C, C)))) ) ) ) ) ) ) ).
fof(t7_mmlquer2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_ordinal1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v5_ordinal1(B)) )  => k10_xtuple_0(k1_ordinal4(A, B))=k2_xboole_0(k10_xtuple_0(A), k10_xtuple_0(B))) ) ) ) ).
fof(d1_mmlquer2, axiom,  (! [A] :  (v1_relat_1(A) =>  (v8_relat_2(A) <=>  (! [B] :  (! [C] :  (! [D] :  ( (r1_mmlquery(B, C, A) & r1_mmlquery(C, D, A))  => r1_mmlquery(B, D, A)) ) ) ) ) ) ) ).
fof(d2_mmlquer2, axiom,  (! [A] :  (v1_relat_1(A) =>  (v4_relat_2(A) <=>  (! [B] :  (! [C] :  ( (r1_mmlquery(B, C, A) & r1_mmlquery(C, B, A))  => B=C) ) ) ) ) ) ).
fof(t8_mmlquer2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v6_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  ~ ( ( ~ (C=D)  &  ( ~ (r1_mmlquery(C, D, B))  &  ~ (r1_mmlquery(D, C, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_mmlquer2, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) => k1_mmlquer2(A, B)=k2_xboole_0(A, k6_subset_1(B, k2_relat_1(A)))) ) ) ) ).
fof(t9_mmlquer2, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (! [D] :  (r1_mmlquery(C, D, k1_mmlquer2(A, B)) <=>  (r1_mmlquery(C, D, A) |  ( ~ (r1_mmlquery(D, C, A))  & r1_mmlquery(C, D, B)) ) ) ) ) ) ) ) ) ).
fof(t10_mmlquer2, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) => k1_relat_1(k1_mmlquer2(A, B))=k2_xboole_0(k1_relat_1(A), k1_relat_1(B))) ) ) ) ).
fof(t11_mmlquer2, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) => r1_tarski(k1_mmlquer2(A, B), k2_xboole_0(A, B))) ) ) ) ).
fof(d4_mmlquer2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (v1_mmlquer2(B, A) <=>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  ( ~ (r1_mmlquery(C, D, B))  =>  (! [E] :  (m1_subset_1(E, A) =>  (r1_mmlquery(C, E, B) => r1_mmlquery(D, E, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_mmlquer2, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v1_relat_1(C) => k1_mmlquer2(k1_mmlquer2(A, B), C)=k1_mmlquer2(A, k1_mmlquer2(B, C))) ) ) ) ) ) ).
fof(t13_mmlquer2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_2(B) &  (v6_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) => r2_relset_1(A, A, k2_mmlquer2(A, B, C), B)) ) ) ) ) ).
fof(d5_mmlquer2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (C=k3_mmlquer2(A, B) <=>  (! [D] :  (! [E] :  (r1_mmlquery(D, E, C) <=>  (r2_tarski(D, A) &  (r2_tarski(E, A) &  ~ (r1_xxreal_0(k1_funct_1(B, E), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_mmlquer2, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (C=k4_mmlquer2(A, B) <=>  (! [D] :  (m1_subset_1(D, A) => k1_funct_1(C, D)=k4_card_1(k1_mmlquery(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t14_mmlquer2, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (r1_mmlquery(C, D, k3_mmlquer2(A, k4_mmlquer2(A, B))) <=>  ~ (r1_xxreal_0(k4_card_1(k1_mmlquery(A, B, D)), k4_card_1(k1_mmlquery(A, B, C)))) ) ) ) ) ) ) ) ) ) ).
fof(d7_mmlquer2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (C=k5_mmlquer2(A, B) <=>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (r1_mmlquery(D, E, C) <=>  ( ~ (k1_mmlquery(A, B, D)=k1_xboole_0)  & k1_mmlquery(A, B, E)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_mmlquer2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] : k6_mmlquer2(A, B)=k1_setfam_1(k8_relat_1(A, k1_tarski(B)))) ) ) ).
fof(t15_mmlquer2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( ~ (r2_hidden(A, k10_xtuple_0(B)))  => k6_mmlquer2(B, A)=k5_numbers) ) ) ) ).
fof(t16_mmlquer2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r2_tarski(A, k10_xtuple_0(B)) =>  (r2_tarski(k6_mmlquer2(B, A), k1_relset_1(k4_ordinal1, B)) & A=k1_funct_1(B, k6_mmlquer2(B, A))) ) ) ) ) ).
fof(t17_mmlquer2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ~ ( (k6_mmlquer2(B, A)=k5_numbers & r2_hidden(A, k10_xtuple_0(B))) ) ) ) ) ).
fof(d9_mmlquer2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (D=k7_mmlquer2(A, B, C) <=>  (! [E] :  (! [F] :  (r1_mmlquery(E, F, D) <=>  (r2_tarski(E, A) &  (r2_tarski(F, A) &  ( ~ (k6_mmlquer2(B, k1_funct_1(C, E))=k5_numbers)  &  ~ ( (r1_xxreal_0(k6_mmlquer2(B, k1_funct_1(C, F)), k6_mmlquer2(B, k1_funct_1(C, E))) &  ~ (k6_mmlquer2(B, k1_funct_1(C, F))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_mmlquer2, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (k7_relat_1(k8_funct_7(B, C), A)=k1_xboole_0 & r1_xxreal_0(C, D))  => k7_relat_1(k8_funct_7(B, D), A)=k1_xboole_0) ) ) ) ) ) ) ) ).
fof(t19_mmlquer2, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  ~ ( ( (! [C] :  (v7_ordinal1(C) =>  ~ (k7_relat_1(k8_funct_7(B, C), A)=k1_xboole_0) ) )  &  (v1_finset_1(A) &  (! [C] :  ~ ( (r2_tarski(C, A) &  (! [D] :  (v7_ordinal1(D) =>  ~ (k9_relat_1(k8_funct_7(B, D), C)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_mmlquer2, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  ~ ( (v1_rewrite1(B) &  (v2_relat_2(B) &  (v1_finset_1(A) &  (v1_finset_1(B) &  (! [C] :  (v7_ordinal1(C) =>  ~ (k7_relat_1(k8_funct_7(B, C), A)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_mmlquer2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  ( (v1_rewrite1(B) &  (v2_relat_2(B) & v1_finset_1(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (C=k9_mmlquer2(A, B) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k4_ordinal1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  &  (r2_relset_1(A, A, C, k3_mmlquer2(A, D)) &  (! [E] :  (m1_subset_1(E, A) =>  ~ ( (r2_tarski(E, A) &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (k1_funct_1(D, E)=F &  ( ~ ( (k1_mmlquery(A, k8_mmlquer2(A, B, F), E)=k1_xboole_0 &  ~ ( (F=k5_numbers & k1_mmlquery(A, k8_mmlquer2(A, B, F), E)=k1_xboole_0) ) ) )  & k1_mmlquery(A, k8_mmlquer2(A, B, k2_xcmplx_0(F, 1)), E)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_mmlquer2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) )  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(A)))  =>  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, A) &  (v1_funct_1(D) &  (v5_ordinal1(D) & v1_finset_1(D)) ) ) )  =>  (D=k10_mmlquer2(A, B, C) <=>  (k2_relset_1(A, D)=C &  (v2_funct_1(D) &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r2_tarski(E, k1_relset_1(k4_ordinal1, D)) & r2_tarski(F, k1_relset_1(k4_ordinal1, D)))  =>  (r1_xxreal_0(E, F) <=> r1_mmlquery(k1_funct_1(D, E), k1_funct_1(D, F), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_mmlquer2, axiom,  (! [A] :  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(A)))  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(A)))  =>  (! [D] :  ( (v1_relat_2(D) &  (v4_relat_2(D) &  (v6_relat_2(D) &  (v8_relat_2(D) &  (v1_partfun1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) )  =>  (k10_mmlquer2(A, D, k4_subset_1(A, B, C))=k1_ordinal4(k10_mmlquer2(A, D, B), k10_mmlquer2(A, D, C)) <=>  (! [E] :  (! [F] :  ( (r2_tarski(E, B) & r2_tarski(F, C))  =>  ( ~ (E=F)  & r1_mmlquery(E, F, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_mmlquer2, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  ( (v1_relat_2(C) &  (v4_relat_2(C) &  (v6_relat_2(C) &  (v8_relat_2(C) &  (v1_partfun1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (D=k11_mmlquer2(A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  (r1_mmlquery(E, F, D) <=>  ( ~ (k1_mmlquery(A, B, E)=k1_xboole_0)  &  (k1_mmlquery(A, B, F)=k1_xboole_0 |  ( ~ (k1_mmlquery(A, B, F)=k1_xboole_0)  &  (r1_mmlquery(k7_partfun1(A, k10_mmlquer2(A, C, k1_mmlquery(A, B, E)), k5_numbers), k7_partfun1(A, k10_mmlquer2(A, C, k1_mmlquery(A, B, F)), k5_numbers), C) &  ~ (k7_partfun1(A, k10_mmlquer2(A, C, k1_mmlquery(A, B, E)), k5_numbers)=k7_partfun1(A, k10_mmlquer2(A, C, k1_mmlquery(A, B, F)), k5_numbers)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_mmlquer2, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_relat_1(B))  => v1_relat_1(k1_mmlquer2(A, B))) ) ).
fof(dt_k2_mmlquer2, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => m1_subset_1(k2_mmlquer2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ).
fof(redefinition_k2_mmlquer2, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => k2_mmlquer2(A, B, C)=k1_mmlquer2(B, C)) ) ).
fof(dt_k3_mmlquer2, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  => m1_subset_1(k3_mmlquer2(A, B), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ).
fof(dt_k4_mmlquer2, axiom,  (! [A, B] :  ( (v1_finset_1(A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (v1_funct_1(k4_mmlquer2(A, B)) &  (v1_funct_2(k4_mmlquer2(A, B), A, k4_ordinal1) & m1_subset_1(k4_mmlquer2(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) ) ) ) ).
fof(dt_k5_mmlquer2, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) => m1_subset_1(k5_mmlquer2(A, B), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ).
fof(dt_k7_mmlquer2, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  &  (v1_relat_1(C) & v1_funct_1(C)) )  => m1_subset_1(k7_mmlquer2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ).
fof(dt_k8_mmlquer2, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) & v7_ordinal1(C))  => m1_subset_1(k8_mmlquer2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ).
fof(redefinition_k8_mmlquer2, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) & v7_ordinal1(C))  => k8_mmlquer2(A, B, C)=k8_funct_7(B, C)) ) ).
fof(dt_k9_mmlquer2, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) => m1_subset_1(k9_mmlquer2(A, B), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ).
fof(dt_k10_mmlquer2, axiom,  (! [A, B, C] :  ( ( (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) )  &  (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(A))) )  =>  (v1_relat_1(k10_mmlquer2(A, B, C)) &  (v5_relat_1(k10_mmlquer2(A, B, C), A) &  (v1_funct_1(k10_mmlquer2(A, B, C)) &  (v5_ordinal1(k10_mmlquer2(A, B, C)) & v1_finset_1(k10_mmlquer2(A, B, C))) ) ) ) ) ) ).
fof(dt_k11_mmlquer2, axiom,  (! [A, B, C] :  ( (v1_finset_1(A) &  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (v1_relat_2(C) &  (v4_relat_2(C) &  (v6_relat_2(C) &  (v8_relat_2(C) &  (v1_partfun1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ) )  => m1_subset_1(k11_mmlquer2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ).
fof(fc1_mmlquery, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) => v1_mmlquery(k18_mmlquery(A, B), A)) ) ).
fof(rc1_mmlquery, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, A) & v1_mmlquery(B, A)) ) ) ) ) ) ).
fof(fc2_mmlquery, axiom,  (! [A, B, C] :  ( ( (v1_mmlquery(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => v1_mmlquery(k3_xboole_0(B, C), A)) ) ).
fof(fc3_mmlquery, axiom,  (! [A, B, C] :  ( ( (v1_mmlquery(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => v1_mmlquery(k3_xboole_0(C, B), A)) ) ).
fof(fc4_mmlquery, axiom,  (! [A, B, C] :  ( ( (v1_mmlquery(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => v1_mmlquery(k4_xboole_0(B, C), A)) ) ).
fof(fc5_mmlquery, axiom,  (! [A, B, C] :  ( ( (v1_mmlquery(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  (v1_mmlquery(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  => v1_mmlquery(k2_xboole_0(B, C), A)) ) ).
fof(rc2_mmlquery, axiom,  (? [A] :  (l1_mmlquery(A) & v2_mmlquery(A)) ) ).
fof(cc1_mmlquery, axiom,  (! [A] :  (l1_mmlquery(A) =>  (v8_struct_0(A) => v3_mmlquery(A)) ) ) ).
fof(rc3_mmlquery, axiom,  (? [A] :  (l1_mmlquery(A) &  ( ~ (v2_struct_0(A))  & v8_struct_0(A)) ) ) ).
fof(fc6_mmlquery, axiom,  (! [A, B] :  ( ( (v3_mmlquery(A) & l1_mmlquery(A))  & m1_subset_1(B, u1_struct_0(A)))  => v1_finset_1(k30_mmlquery(A, B))) ) ).
fof(d1_mmlquery, axiom,  (! [A] :  (! [B] :  (! [C] :  (r1_mmlquery(A, B, C) <=> r2_hidden(k4_tarski(A, B), C)) ) ) ) ).
fof(t1_mmlquery, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (r1_tarski(A, B) <=>  (! [C] : r1_tarski(k9_relat_1(A, C), k9_relat_1(B, C))) ) ) ) ) ) ).
fof(t2_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [D] :  (m1_subset_1(D, A) =>  (r1_mmlquery(B, D, C) <=> r2_tarski(D, k1_mmlquery(A, C, B))) ) ) ) ) ) ) ) ).
fof(t3_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (r2_tarski(C, k4_mmlquery(A, D, B)) <=>  (r2_tarski(C, B) &  ~ (k1_mmlquery(A, D, C)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ).
fof(t4_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) => r1_tarski(k4_mmlquery(A, C, B), B)) ) ) ) ) ).
fof(t5_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (r1_tarski(B, k1_relset_1(A, C)) => k4_mmlquery(A, C, B)=B) ) ) ) ) ) ).
fof(t6_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [E] :  (v7_ordinal1(E) =>  (r1_tarski(B, C) =>  (E=k5_numbers | r1_tarski(k12_mmlquery(A, B, D, E), k4_mmlquery(A, D, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) => k12_mmlquery(A, B, C, 1)=k4_mmlquery(A, C, B)) ) ) ) ) ).
fof(t8_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [E] :  (v7_ordinal1(E) =>  (r1_tarski(B, C) => r1_tarski(k14_mmlquery(A, B, D, E), k4_mmlquery(A, D, C))) ) ) ) ) ) ) ) ) ) ).
fof(t9_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) => k14_mmlquery(A, B, C, k5_numbers)=k4_mmlquery(A, C, B)) ) ) ) ) ).
fof(t10_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [E] :  (v7_ordinal1(E) =>  (r1_tarski(B, C) =>  (E=k5_numbers | r1_tarski(k10_mmlquery(A, B, D, E), k4_mmlquery(A, D, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [D] :  (v7_ordinal1(D) => k12_mmlquery(A, B, C, k1_nat_1(D, 1))=k14_mmlquery(A, B, C, D)) ) ) ) ) ) ) ).
fof(t12_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [D] :  (v7_ordinal1(D) => k11_mmlquery(A, B, C, D)=k13_mmlquery(A, B, C, k1_nat_1(D, 1))) ) ) ) ) ) ) ).
fof(t13_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ( (r1_xxreal_0(F, G) &  (r1_tarski(B, C) & r1_relset_1(A, A, D, E)) )  => r1_tarski(k12_mmlquery(A, B, D, G), k12_mmlquery(A, C, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ( (r1_xxreal_0(F, G) &  (r1_tarski(B, C) & r1_relset_1(A, A, D, E)) )  => r1_tarski(k14_mmlquery(A, B, D, G), k14_mmlquery(A, C, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ( (r1_xxreal_0(F, G) &  (r1_tarski(B, C) & r1_relset_1(A, A, D, E)) )  => r1_tarski(k11_mmlquery(A, B, E, F), k11_mmlquery(A, C, D, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ( (r1_xxreal_0(F, G) &  (r1_tarski(B, C) & r1_relset_1(A, A, D, E)) )  => r1_tarski(k13_mmlquery(A, B, E, F), k13_mmlquery(A, C, D, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  ( (r1_relset_1(A, A, E, F) &  (r1_tarski(B, C) & r1_relset_1(A, A, D, G)) )  => r1_tarski(k7_mmlquery(A, D, B, F), k7_mmlquery(A, G, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  ( (r1_relset_1(A, A, E, F) &  (r1_tarski(B, C) & r1_relset_1(A, A, D, G)) )  => r1_tarski(k9_mmlquery(A, D, B, F), k9_mmlquery(A, G, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  ( (r1_relset_1(A, A, E, F) &  (r1_tarski(B, C) & r1_relset_1(A, A, D, G)) )  => r1_tarski(k6_mmlquery(A, G, B, E), k6_mmlquery(A, D, C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  ( (r1_relset_1(A, A, E, F) &  (r1_tarski(B, C) & r1_relset_1(A, A, D, G)) )  => r1_tarski(k8_mmlquery(A, G, B, E), k8_mmlquery(A, D, C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) => r1_tarski(k9_mmlquery(A, C, B, D), k4_mmlquery(A, C, B))) ) ) ) ) ) ) ).
fof(t22_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  ( (r1_relset_1(A, A, D, E) & r1_tarski(B, C))  => r1_tarski(k4_mmlquery(A, D, B), k4_mmlquery(A, E, C))) ) ) ) ) ) ) ) ) ) ).
fof(t23_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [D] :  (m1_subset_1(D, A) =>  (r2_tarski(D, k2_mmlquery(A, C, B)) <=>  (? [E] :  (m1_subset_1(E, A) &  (r2_tarski(D, k1_mmlquery(A, C, E)) & r2_tarski(E, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  ~ ( ( ~ (B=k1_xboole_0)  &  ( ~ (C=k1_xboole_0)  &  ~ (k3_mmlquery(A, D, k16_mmlquery(A, B, C))=k15_mmlquery(A, k3_mmlquery(A, D, B), k3_mmlquery(A, D, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  ( (r1_tarski(B, C) & r1_relset_1(A, A, D, E))  => r1_tarski(k2_mmlquery(A, D, B), k2_mmlquery(A, E, C))) ) ) ) ) ) ) ) ) ) ).
fof(t26_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (r1_relset_1(A, A, C, D) => r1_tarski(k3_mmlquery(A, C, B), k3_mmlquery(A, D, B))) ) ) ) ) ) ) ) ).
fof(t27_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) => k3_mmlquery(A, k15_mmlquery(k2_zfmisc_1(A, A), C, D), B)=k15_mmlquery(A, k3_mmlquery(A, C, B), k3_mmlquery(A, D, B))) ) ) ) ) ) ) ).
fof(t28_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (r1_tarski(B, C) =>  (B=k1_xboole_0 | r1_tarski(k3_mmlquery(A, D, C), k3_mmlquery(A, D, B))) ) ) ) ) ) ) ) ) ).
fof(t29_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  ( (! [D] :  (m1_subset_1(D, A) => k1_mmlquery(A, B, D)=k1_mmlquery(A, C, D)) )  => r2_relset_1(A, A, B, C)) ) ) ) ) ) ).
fof(t30_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  ( (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) => k2_mmlquery(A, B, D)=k2_mmlquery(A, C, D)) )  => r2_relset_1(A, A, B, C)) ) ) ) ) ) ).
fof(d19_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (D=k22_mmlquery(A, B, C) <=>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) => k2_mmlquery(A, D, E)=k2_mmlquery(A, C, k2_mmlquery(A, B, E))) ) ) ) ) ) ) ) ) ) ).
fof(t31_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) => k1_mmlquery(A, k19_mmlquery(A, C, D), B)=k15_mmlquery(A, k1_mmlquery(A, C, B), k1_mmlquery(A, D, B))) ) ) ) ) ) ) ).
fof(t32_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) => k1_mmlquery(A, k20_mmlquery(A, C, D), B)=k16_mmlquery(A, k1_mmlquery(A, C, B), k1_mmlquery(A, D, B))) ) ) ) ) ) ) ).
fof(t33_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) => k1_mmlquery(A, k21_mmlquery(A, C, D), B)=k17_mmlquery(A, k1_mmlquery(A, C, B), k1_mmlquery(A, D, B))) ) ) ) ) ) ) ).
fof(t34_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) => k1_mmlquery(A, k22_mmlquery(A, C, D), B)=k2_mmlquery(A, D, k1_mmlquery(A, C, B))) ) ) ) ) ) ) ).
fof(t35_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) => k1_mmlquery(A, k23_mmlquery(A, C, D), B)=k3_mmlquery(A, D, k1_mmlquery(A, C, B))) ) ) ) ) ) ) ).
fof(t36_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  (! [D] :  (r2_hidden(k4_tarski(C, D), k18_mmlquery(A, B)) <=>  (C=D &  (r2_hidden(C, A) &  ~ (r2_hidden(C, k1_relset_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(t37_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) => k18_mmlquery(A, B)=k4_relat_1(k6_subset_1(A, k1_relset_1(A, B)))) ) ) ).
fof(t38_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) => k1_relset_1(A, k18_mmlquery(A, k18_mmlquery(A, B)))=k1_relset_1(A, B)) ) ) ).
fof(t39_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) => k4_mmlquery(A, k18_mmlquery(A, k18_mmlquery(A, C)), B)=k4_mmlquery(A, C, B)) ) ) ) ) ).
fof(t40_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) => k10_mmlquery(A, B, C, k5_numbers)=k4_mmlquery(A, k18_mmlquery(A, C), B)) ) ) ) ) ).
fof(t41_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) => r2_relset_1(A, A, k18_mmlquery(A, k18_mmlquery(A, k18_mmlquery(A, B))), k18_mmlquery(A, B))) ) ) ).
fof(t42_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) => r1_relset_1(A, A, k20_mmlquery(A, k18_mmlquery(A, B), k18_mmlquery(A, C)), k18_mmlquery(A, k19_mmlquery(A, B, C)))) ) ) ) ) ).
fof(t43_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) => r2_relset_1(A, A, k18_mmlquery(A, k20_mmlquery(A, B, C)), k19_mmlquery(A, k18_mmlquery(A, B), k18_mmlquery(A, C)))) ) ) ) ) ).
fof(t44_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  ( (k1_relset_1(A, C)=A & k1_relset_1(A, D)=A)  => r2_relset_1(A, A, k23_mmlquery(A, k20_mmlquery(A, C, D), B), k19_mmlquery(A, k23_mmlquery(A, C, B), k23_mmlquery(A, D, B)))) ) ) ) ) ) ) ) ).
fof(d21_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (v1_mmlquery(B, A) <=> r1_relset_1(A, A, B, k4_relat_1(A))) ) ) ) ).
fof(t45_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (v1_mmlquery(B, A) <=> B=k4_relat_1(k1_relset_1(A, B))) ) ) ) ).
fof(t46_mmlquery, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_mmlquery(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (r2_tarski(B, k1_mmlquery(A, D, C)) => B=C) ) ) ) ) ) ) ).
fof(t47_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  ( (v1_mmlquery(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => k2_mmlquery(A, C, B)=k4_mmlquery(A, C, B)) ) ) ) ) ).
fof(t48_mmlquery, axiom,  (! [A] :  (! [B] :  ( (v1_mmlquery(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => r2_relset_1(A, A, k18_mmlquery(A, k18_mmlquery(A, B)), B)) ) ) ).
fof(t49_mmlquery, axiom,  (! [A] :  (! [B] :  ( (v1_mmlquery(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( (v1_mmlquery(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => r2_relset_1(A, A, k18_mmlquery(A, k19_mmlquery(A, B, C)), k20_mmlquery(A, k18_mmlquery(A, B), k18_mmlquery(A, C)))) ) ) ) ) ).
fof(t50_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) => k1_relset_1(A, k20_mmlquery(A, B, k18_mmlquery(A, B)))=A) ) ) ).
fof(t51_mmlquery, axiom,  (! [A] :  (! [B] :  ( (v1_mmlquery(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => k20_mmlquery(A, B, k18_mmlquery(A, B))=k4_relat_1(A)) ) ) ).
fof(t52_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) => k19_mmlquery(A, B, k18_mmlquery(A, B))=k1_xboole_0) ) ) ).
fof(t53_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) => r1_relset_1(A, A, k19_mmlquery(A, k20_mmlquery(A, B, C), k18_mmlquery(A, B)), C)) ) ) ) ) ).
fof(t54_mmlquery, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] : r1_xxreal_0(k24_mmlquery(A, B), k3_finseq_1(A))) ) ) ).
fof(t55_mmlquery, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( ( ~ (A=k1_xboole_0)  & k24_mmlquery(A, B)=k3_finseq_1(A))  <=> r2_tarski(B, k1_setfam_1(k10_xtuple_0(A)))) ) ) ) ).
fof(d23_mmlquery, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (B=k25_mmlquery(A) <=>  ( (! [C] : r1_xxreal_0(k24_mmlquery(A, C), B))  &  (! [C] :  (v7_ordinal1(C) =>  ( (! [D] : r1_xxreal_0(k24_mmlquery(A, D), C))  => r1_xxreal_0(B, C)) ) ) ) ) ) ) ) ) ).
fof(t56_mmlquery, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => r1_xxreal_0(k25_mmlquery(A), k3_finseq_1(A))) ) ).
fof(t57_mmlquery, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (k24_mmlquery(A, B)=k3_finseq_1(A) => k25_mmlquery(A)=k3_finseq_1(A)) ) ) ) ).
fof(d26_mmlquery, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, k9_setfam_1(A)) => k28_mmlquery(A, B)=k26_mmlquery(A, B, k25_mmlquery(B))) ) ) ).
fof(t58_mmlquery, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, k9_setfam_1(A)) => k27_mmlquery(A, C, B, k3_finseq_1(C))=k26_mmlquery(A, C, B)) ) ) ) ) ).
fof(t59_mmlquery, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_1(D, k9_setfam_1(A)) =>  (r1_xxreal_0(B, C) => r1_tarski(k26_mmlquery(A, D, C), k26_mmlquery(A, D, B))) ) ) ) ) ) ) ) ).
fof(t60_mmlquery, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, k9_setfam_1(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(C, E) & r1_xxreal_0(D, F))  => r1_tarski(k27_mmlquery(A, B, E, D), k27_mmlquery(A, B, C, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_mmlquery, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_1(D, k9_setfam_1(A)) => r1_tarski(k27_mmlquery(A, D, B, C), k26_mmlquery(A, D, B))) ) ) ) ) ) ) ).
fof(t62_mmlquery, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, k9_setfam_1(A)) =>  ( ~ (B=k1_xboole_0)  => k26_mmlquery(A, B, k3_finseq_1(B))=k6_setfam_1(A, k2_relset_1(k9_setfam_1(A), B))) ) ) ) ).
fof(t63_mmlquery, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, k9_setfam_1(A)) => k26_mmlquery(A, B, 1)=k5_prob_3(A, B)) ) ) ).
fof(t64_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k26_mmlquery(A, k2_finseq_4(k1_zfmisc_1(A), B, C), 2)=k15_mmlquery(A, B, C)) ) ) ) ) ).
fof(t65_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k26_mmlquery(A, k2_finseq_4(k1_zfmisc_1(A), B, C), 1)=k16_mmlquery(A, B, C)) ) ) ) ) ).
fof(d27_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => k29_mmlquery(A, B, C)=C) ) ) ) ) ).
fof(d28_mmlquery, axiom,  (! [A] :  (l1_mmlquery(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k30_mmlquery(A, B)=k1_mmlquery(u1_struct_0(A), k29_mmlquery(u1_struct_0(A), u1_mmlquery(A), u2_mmlquery(A)), B)) ) ) ) ).
fof(d29_mmlquery, axiom,  (! [A] :  (l1_mmlquery(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k31_mmlquery(A, B)=k1_mmlquery(u1_struct_0(A), k3_relset_1(u1_struct_0(A), u1_struct_0(A), k29_mmlquery(u1_struct_0(A), u1_mmlquery(A), u2_mmlquery(A))), B)) ) ) ) ).
fof(t66_mmlquery, axiom,  (! [A] :  (l1_mmlquery(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(B, k30_mmlquery(A, C)) <=> r2_tarski(C, k31_mmlquery(A, B))) ) ) ) ) ) ) ).
fof(d30_mmlquery, axiom,  (! [A] :  (l1_mmlquery(A) =>  (v3_mmlquery(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v1_finset_1(k30_mmlquery(A, B))) ) ) ) ) ).
fof(t67_mmlquery, axiom,  (! [A] :  (l1_mmlquery(A) =>  (! [B] :  (m2_finseq_1(B, u1_mmlquery(A)) => k35_mmlquery(A, B, k5_numbers)=k32_mmlquery(A, B)) ) ) ) ).
fof(t68_mmlquery, axiom,  (! [A] :  ( (v3_mmlquery(A) & l1_mmlquery(A))  =>  (! [B] :  (m2_finseq_1(B, u1_mmlquery(A)) => k36_mmlquery(A, B, k5_numbers)=k33_mmlquery(A, B)) ) ) ) ).
fof(t69_mmlquery, axiom,  (! [A] :  ( (v3_mmlquery(A) & l1_mmlquery(A))  =>  (! [B] :  (m2_finseq_1(B, u1_mmlquery(A)) => k37_mmlquery(A, B, k5_numbers, k5_numbers)=k34_mmlquery(A, B)) ) ) ) ).
fof(t70_mmlquery, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (l1_mmlquery(C) =>  (! [D] :  (m2_finseq_1(D, u1_mmlquery(C)) =>  (r1_xxreal_0(A, B) => r1_tarski(k35_mmlquery(C, D, A), k35_mmlquery(C, D, B))) ) ) ) ) ) ) ) ) ).
fof(t71_mmlquery, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_mmlquery(C) & l1_mmlquery(C))  =>  (! [D] :  (m2_finseq_1(D, u1_mmlquery(C)) =>  (r1_xxreal_0(A, B) => r1_tarski(k36_mmlquery(C, D, A), k36_mmlquery(C, D, B))) ) ) ) ) ) ) ) ) ).
fof(t72_mmlquery, axiom,  (! [A] :  ( (v3_mmlquery(A) & l1_mmlquery(A))  =>  (! [B] :  (m2_finseq_1(B, u1_mmlquery(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(C, E) & r1_xxreal_0(D, F))  => r1_tarski(k37_mmlquery(A, B, C, D), k37_mmlquery(A, B, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t73_mmlquery, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (l1_mmlquery(B) =>  (! [C] :  (m2_finseq_1(C, u1_mmlquery(B)) => r1_tarski(k32_mmlquery(B, C), k35_mmlquery(B, C, A))) ) ) ) ) ) ).
fof(t74_mmlquery, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v3_mmlquery(B) & l1_mmlquery(B))  =>  (! [C] :  (m2_finseq_1(C, u1_mmlquery(B)) => r1_tarski(k33_mmlquery(B, C), k36_mmlquery(B, C, A))) ) ) ) ) ) ).
fof(t75_mmlquery, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_mmlquery(C) & l1_mmlquery(C))  =>  (! [D] :  (m2_finseq_1(D, u1_mmlquery(C)) => r1_tarski(k34_mmlquery(C, D), k37_mmlquery(C, D, A, B))) ) ) ) ) ) ) ) ).
fof(t76_mmlquery, axiom,  (! [A] :  (l1_mmlquery(A) =>  (! [B] :  (m2_finseq_1(B, u1_mmlquery(A)) => k34_mmlquery(A, B)=k15_mmlquery(u1_struct_0(A), k32_mmlquery(A, B), k33_mmlquery(A, B))) ) ) ) ).
fof(t77_mmlquery, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_mmlquery(C) & l1_mmlquery(C))  =>  (! [D] :  (m2_finseq_1(D, u1_mmlquery(C)) => k37_mmlquery(C, D, A, B)=k15_mmlquery(u1_struct_0(C), k35_mmlquery(C, D, B), k36_mmlquery(C, D, A))) ) ) ) ) ) ) ) ).
fof(t79_mmlquery, axiom,  (! [A] :  (l1_mmlquery(A) =>  (! [B] :  (m2_finseq_1(B, u1_mmlquery(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (B=k10_finseq_1(C, D) => k32_mmlquery(A, B)=k15_mmlquery(u1_struct_0(A), k31_mmlquery(A, C), k31_mmlquery(A, D))) ) ) ) ) ) ) ) ) ).
fof(dt_k1_mmlquery, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) & m1_subset_1(C, A))  => m1_subset_1(k1_mmlquery(A, B, C), k1_zfmisc_1(A))) ) ).
fof(redefinition_k1_mmlquery, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) & m1_subset_1(C, A))  => k1_mmlquery(A, B, C)=k9_relat_1(B, C)) ) ).
fof(dt_k2_mmlquery, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) & m1_subset_1(C, k1_zfmisc_1(A)))  => m1_subset_1(k2_mmlquery(A, B, C), k1_zfmisc_1(A))) ) ).
fof(redefinition_k2_mmlquery, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) & m1_subset_1(C, k1_zfmisc_1(A)))  => k2_mmlquery(A, B, C)=k7_relat_1(B, C)) ) ).
fof(dt_k3_mmlquery, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) & m1_subset_1(C, k1_zfmisc_1(A)))  => m1_subset_1(k3_mmlquery(A, B, C), k1_zfmisc_1(A))) ) ).
fof(dt_k4_mmlquery, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) & m1_subset_1(C, k1_zfmisc_1(A)))  => m1_subset_1(k4_mmlquery(A, B, C), k1_zfmisc_1(A))) ) ).
fof(dt_k5_mmlquery, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  => m1_subset_1(k5_mmlquery(A, B, C, D), k1_zfmisc_1(A))) ) ).
fof(dt_k6_mmlquery, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  => m1_subset_1(k6_mmlquery(A, B, C, D), k1_zfmisc_1(A))) ) ).
fof(dt_k7_mmlquery, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  => m1_subset_1(k7_mmlquery(A, B, C, D), k1_zfmisc_1(A))) ) ).
fof(dt_k8_mmlquery, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  => m1_subset_1(k8_mmlquery(A, B, C, D), k1_zfmisc_1(A))) ) ).
fof(dt_k9_mmlquery, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  => m1_subset_1(k9_mmlquery(A, B, C, D), k1_zfmisc_1(A))) ) ).
fof(dt_k10_mmlquery, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) &  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) & v7_ordinal1(D)) )  => m1_subset_1(k10_mmlquery(A, B, C, D), k1_zfmisc_1(A))) ) ).
fof(dt_k11_mmlquery, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) &  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) & v7_ordinal1(D)) )  => m1_subset_1(k11_mmlquery(A, B, C, D), k1_zfmisc_1(A))) ) ).
fof(dt_k12_mmlquery, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) &  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) & v7_ordinal1(D)) )  => m1_subset_1(k12_mmlquery(A, B, C, D), k1_zfmisc_1(A))) ) ).
fof(dt_k13_mmlquery, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) &  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) & v7_ordinal1(D)) )  => m1_subset_1(k13_mmlquery(A, B, C, D), k1_zfmisc_1(A))) ) ).
fof(dt_k14_mmlquery, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) &  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) & v7_ordinal1(D)) )  => m1_subset_1(k14_mmlquery(A, B, C, D), k1_zfmisc_1(A))) ) ).
fof(dt_k15_mmlquery, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(A)))  => m1_subset_1(k15_mmlquery(A, B, C), k1_zfmisc_1(A))) ) ).
fof(commutativity_k15_mmlquery, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(A)))  => k15_mmlquery(A, B, C)=k15_mmlquery(A, C, B)) ) ).
fof(idempotence_k15_mmlquery, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(A)))  => k15_mmlquery(A, B, B)=B) ) ).
fof(redefinition_k15_mmlquery, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(A)))  => k15_mmlquery(A, B, C)=k3_xboole_0(B, C)) ) ).
fof(dt_k16_mmlquery, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(A)))  => m1_subset_1(k16_mmlquery(A, B, C), k1_zfmisc_1(A))) ) ).
fof(commutativity_k16_mmlquery, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(A)))  => k16_mmlquery(A, B, C)=k16_mmlquery(A, C, B)) ) ).
fof(idempotence_k16_mmlquery, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(A)))  => k16_mmlquery(A, B, B)=B) ) ).
fof(redefinition_k16_mmlquery, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(A)))  => k16_mmlquery(A, B, C)=k2_xboole_0(B, C)) ) ).
fof(dt_k17_mmlquery, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(A)))  => m1_subset_1(k17_mmlquery(A, B, C), k1_zfmisc_1(A))) ) ).
fof(redefinition_k17_mmlquery, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(A)))  => k17_mmlquery(A, B, C)=k4_xboole_0(B, C)) ) ).
fof(dt_k18_mmlquery, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) => m1_subset_1(k18_mmlquery(A, B), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ).
fof(dt_k19_mmlquery, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => m1_subset_1(k19_mmlquery(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ).
fof(commutativity_k19_mmlquery, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => k19_mmlquery(A, B, C)=k19_mmlquery(A, C, B)) ) ).
fof(idempotence_k19_mmlquery, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => k19_mmlquery(A, B, B)=B) ) ).
fof(redefinition_k19_mmlquery, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => k19_mmlquery(A, B, C)=k3_xboole_0(B, C)) ) ).
fof(dt_k20_mmlquery, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => m1_subset_1(k20_mmlquery(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ).
fof(commutativity_k20_mmlquery, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => k20_mmlquery(A, B, C)=k20_mmlquery(A, C, B)) ) ).
fof(idempotence_k20_mmlquery, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => k20_mmlquery(A, B, B)=B) ) ).
fof(redefinition_k20_mmlquery, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => k20_mmlquery(A, B, C)=k2_xboole_0(B, C)) ) ).
fof(dt_k21_mmlquery, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => m1_subset_1(k21_mmlquery(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ).
fof(redefinition_k21_mmlquery, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => k21_mmlquery(A, B, C)=k4_xboole_0(B, C)) ) ).
fof(dt_k22_mmlquery, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => m1_subset_1(k22_mmlquery(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ).
fof(redefinition_k22_mmlquery, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => k22_mmlquery(A, B, C)=k3_relat_1(B, C)) ) ).
fof(dt_k23_mmlquery, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => m1_subset_1(k23_mmlquery(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ).
fof(dt_k24_mmlquery, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => v7_ordinal1(k24_mmlquery(A, B))) ) ).
fof(dt_k25_mmlquery, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => v7_ordinal1(k25_mmlquery(A))) ) ).
fof(dt_k26_mmlquery, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, k9_setfam_1(A)) & v7_ordinal1(C))  => m1_subset_1(k26_mmlquery(A, B, C), k1_zfmisc_1(A))) ) ).
fof(dt_k27_mmlquery, axiom,  (! [A, B, C, D] :  ( (m1_finseq_1(B, k9_setfam_1(A)) &  (v7_ordinal1(C) & v7_ordinal1(D)) )  => m1_subset_1(k27_mmlquery(A, B, C, D), k1_zfmisc_1(A))) ) ).
fof(dt_k28_mmlquery, axiom,  (! [A, B] :  (m1_finseq_1(B, k9_setfam_1(A)) => m1_subset_1(k28_mmlquery(A, B), k1_zfmisc_1(A))) ) ).
fof(abstractness_v2_mmlquery, axiom,  (! [A] :  (l1_mmlquery(A) =>  (v2_mmlquery(A) => A=g1_mmlquery(u1_struct_0(A), u1_mmlquery(A), u2_mmlquery(A))) ) ) ).
fof(dt_l1_mmlquery, axiom,  (! [A] :  (l1_mmlquery(A) => l1_struct_0(A)) ) ).
fof(existence_l1_mmlquery, axiom,  (? [A] : l1_mmlquery(A)) ).
fof(dt_g1_mmlquery, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (v2_mmlquery(g1_mmlquery(A, B, C)) & l1_mmlquery(g1_mmlquery(A, B, C))) ) ) ).
fof(free_g1_mmlquery, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [D, E, F] :  (g1_mmlquery(A, B, C)=g1_mmlquery(D, E, F) =>  (A=D &  (B=E & C=F) ) ) ) ) ) ).
fof(dt_u1_mmlquery, axiom,  (! [A] :  (l1_mmlquery(A) => m1_subset_1(u1_mmlquery(A), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_u2_mmlquery, axiom,  (! [A] :  (l1_mmlquery(A) => m1_subset_1(u2_mmlquery(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_mmlquery(A))))) ) ).
fof(dt_k29_mmlquery, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  => m1_subset_1(k29_mmlquery(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ).
fof(dt_k30_mmlquery, axiom,  (! [A, B] :  ( (l1_mmlquery(A) & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k30_mmlquery(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k31_mmlquery, axiom,  (! [A, B] :  ( (l1_mmlquery(A) & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k31_mmlquery(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k32_mmlquery, axiom,  (! [A, B] :  ( (l1_mmlquery(A) & m1_finseq_1(B, u1_mmlquery(A)))  => m1_subset_1(k32_mmlquery(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k33_mmlquery, axiom,  (! [A, B] :  ( (l1_mmlquery(A) & m1_finseq_1(B, u1_mmlquery(A)))  => m1_subset_1(k33_mmlquery(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k34_mmlquery, axiom,  (! [A, B] :  ( (l1_mmlquery(A) & m1_finseq_1(B, u1_mmlquery(A)))  => m1_subset_1(k34_mmlquery(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k35_mmlquery, axiom,  (! [A, B, C] :  ( (l1_mmlquery(A) &  (m1_finseq_1(B, u1_mmlquery(A)) & v7_ordinal1(C)) )  => m1_subset_1(k35_mmlquery(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k36_mmlquery, axiom,  (! [A, B, C] :  ( ( (v3_mmlquery(A) & l1_mmlquery(A))  &  (m1_finseq_1(B, u1_mmlquery(A)) & v7_ordinal1(C)) )  => m1_subset_1(k36_mmlquery(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k37_mmlquery, axiom,  (! [A, B, C, D] :  ( ( (v3_mmlquery(A) & l1_mmlquery(A))  &  (m1_finseq_1(B, u1_mmlquery(A)) &  (v7_ordinal1(C) & v7_ordinal1(D)) ) )  => m1_subset_1(k37_mmlquery(A, B, C, D), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(d2_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k2_mmlquery(A, B, C)=k3_tarski(a_3_0_mmlquery(A, B, C))) ) ) ) ) ).
fof(d3_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k3_mmlquery(A, B, C)=k1_setfam_1(a_3_0_mmlquery(A, B, C))) ) ) ) ) ).
fof(d4_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k4_mmlquery(A, B, C)=a_3_1_mmlquery(A, B, C)) ) ) ) ) ).
fof(d5_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) => k5_mmlquery(A, B, C, D)=a_4_0_mmlquery(A, B, C, D)) ) ) ) ) ) ) ).
fof(d6_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) => k6_mmlquery(A, B, C, D)=a_4_1_mmlquery(A, B, C, D)) ) ) ) ) ) ) ).
fof(d7_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) => k7_mmlquery(A, B, C, D)=a_4_2_mmlquery(A, B, C, D)) ) ) ) ) ) ) ).
fof(d8_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) => k8_mmlquery(A, B, C, D)=a_4_3_mmlquery(A, B, C, D)) ) ) ) ) ) ) ).
fof(d9_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) => k9_mmlquery(A, B, C, D)=a_4_4_mmlquery(A, B, C, D)) ) ) ) ) ) ) ).
fof(d10_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [D] :  (v7_ordinal1(D) => k10_mmlquery(A, B, C, D)=a_4_5_mmlquery(A, B, C, D)) ) ) ) ) ) ) ).
fof(d11_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [D] :  (v7_ordinal1(D) => k11_mmlquery(A, B, C, D)=a_4_6_mmlquery(A, B, C, D)) ) ) ) ) ) ) ).
fof(d12_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [D] :  (v7_ordinal1(D) => k12_mmlquery(A, B, C, D)=a_4_7_mmlquery(A, B, C, D)) ) ) ) ) ) ) ).
fof(d13_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [D] :  (v7_ordinal1(D) => k13_mmlquery(A, B, C, D)=a_4_8_mmlquery(A, B, C, D)) ) ) ) ) ) ) ).
fof(d14_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [D] :  (v7_ordinal1(D) => k14_mmlquery(A, B, C, D)=a_4_9_mmlquery(A, B, C, D)) ) ) ) ) ) ) ).
fof(d15_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (C=k18_mmlquery(A, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) => k2_mmlquery(A, C, D)=k3_tarski(a_3_2_mmlquery(A, B, D))) ) ) ) ) ) ) ) ).
fof(d16_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (D=k19_mmlquery(A, B, C) <=>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) => k2_mmlquery(A, D, E)=k3_tarski(a_4_10_mmlquery(A, B, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(d17_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (D=k20_mmlquery(A, B, C) <=>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) => k2_mmlquery(A, D, E)=k3_tarski(a_4_11_mmlquery(A, B, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(d18_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (D=k21_mmlquery(A, B, C) <=>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) => k2_mmlquery(A, D, E)=k3_tarski(a_4_12_mmlquery(A, B, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(d20_mmlquery, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (D=k23_mmlquery(A, B, C) <=>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) => k2_mmlquery(A, D, E)=k3_tarski(a_4_13_mmlquery(A, B, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(d22_mmlquery, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] : k24_mmlquery(A, B)=k1_card_1(a_2_0_mmlquery(A, B))) ) ) ).
fof(d24_mmlquery, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, k9_setfam_1(A)) =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (A=k1_xboole_0)  => k26_mmlquery(A, B, C)=a_3_3_mmlquery(A, B, C)) ) ) ) ) ) ).
fof(d25_mmlquery, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, k9_setfam_1(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( ~ (A=k1_xboole_0)  => k27_mmlquery(A, B, C, D)=a_4_14_mmlquery(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(d31_mmlquery, axiom,  (! [A] :  (l1_mmlquery(A) =>  (! [B] :  (m2_finseq_1(B, u1_mmlquery(A)) =>  ( ~ (u1_struct_0(A)=k1_xboole_0)  => k32_mmlquery(A, B)=a_2_1_mmlquery(A, B)) ) ) ) ) ).
fof(d32_mmlquery, axiom,  (! [A] :  (l1_mmlquery(A) =>  (! [B] :  (m2_finseq_1(B, u1_mmlquery(A)) =>  ( ~ (u1_struct_0(A)=k1_xboole_0)  => k33_mmlquery(A, B)=a_2_2_mmlquery(A, B)) ) ) ) ) ).
fof(d33_mmlquery, axiom,  (! [A] :  (l1_mmlquery(A) =>  (! [B] :  (m2_finseq_1(B, u1_mmlquery(A)) =>  ( ~ (u1_struct_0(A)=k1_xboole_0)  => k34_mmlquery(A, B)=a_2_3_mmlquery(A, B)) ) ) ) ) ).
fof(d34_mmlquery, axiom,  (! [A] :  (l1_mmlquery(A) =>  (! [B] :  (m2_finseq_1(B, u1_mmlquery(A)) =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (u1_struct_0(A)=k1_xboole_0)  => k35_mmlquery(A, B, C)=a_3_4_mmlquery(A, B, C)) ) ) ) ) ) ) ).
fof(d35_mmlquery, axiom,  (! [A] :  ( (v3_mmlquery(A) & l1_mmlquery(A))  =>  (! [B] :  (m2_finseq_1(B, u1_mmlquery(A)) =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (u1_struct_0(A)=k1_xboole_0)  => k36_mmlquery(A, B, C)=a_3_5_mmlquery(A, B, C)) ) ) ) ) ) ) ).
fof(d36_mmlquery, axiom,  (! [A] :  ( (v3_mmlquery(A) & l1_mmlquery(A))  =>  (! [B] :  (m2_finseq_1(B, u1_mmlquery(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( ~ (u1_struct_0(A)=k1_xboole_0)  => k37_mmlquery(A, B, C, D)=a_4_15_mmlquery(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t78_mmlquery, axiom,  (! [A] :  (l1_mmlquery(A) =>  (! [B] :  (m2_finseq_1(B, u1_mmlquery(A)) =>  ( ~ (B=k1_xboole_0)  => k32_mmlquery(A, B)=k1_setfam_1(a_2_4_mmlquery(A, B))) ) ) ) ) ).
fof(fraenkel_a_3_0_mmlquery, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B))) & m1_subset_1(D, k1_zfmisc_1(B)))  =>  (r2_hidden(A, a_3_0_mmlquery(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, B) &  (A=k1_mmlquery(B, C, E) & r2_tarski(E, D)) ) ) ) ) ) ).
fof(fraenkel_a_3_1_mmlquery, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B))) & m1_subset_1(D, k1_zfmisc_1(B)))  =>  (r2_hidden(A, a_3_1_mmlquery(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, B) &  (A=E &  (? [F] :  (m1_subset_1(F, B) &  (r1_mmlquery(E, F, C) & r2_tarski(E, D)) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_mmlquery, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B))) &  (m1_subset_1(D, k1_zfmisc_1(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, B)))) )  =>  (r2_hidden(A, a_4_0_mmlquery(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, B) &  (A=F &  (k1_card_1(k1_mmlquery(B, C, F))=k1_card_1(k1_mmlquery(B, E, F)) & r2_tarski(F, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_4_1_mmlquery, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B))) &  (m1_subset_1(D, k1_zfmisc_1(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, B)))) )  =>  (r2_hidden(A, a_4_1_mmlquery(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, B) &  (A=F &  (r1_ordinal1(k1_card_1(k1_mmlquery(B, C, F)), k1_card_1(k1_mmlquery(B, E, F))) & r2_tarski(F, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_4_2_mmlquery, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B))) &  (m1_subset_1(D, k1_zfmisc_1(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, B)))) )  =>  (r2_hidden(A, a_4_2_mmlquery(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, B) &  (A=F &  (r1_ordinal1(k1_card_1(k1_mmlquery(B, E, F)), k1_card_1(k1_mmlquery(B, C, F))) & r2_tarski(F, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_4_3_mmlquery, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B))) &  (m1_subset_1(D, k1_zfmisc_1(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, B)))) )  =>  (r2_hidden(A, a_4_3_mmlquery(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, B) &  (A=F &  (r2_tarski(k1_card_1(k1_mmlquery(B, C, F)), k1_card_1(k1_mmlquery(B, E, F))) & r2_tarski(F, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_4_4_mmlquery, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B))) &  (m1_subset_1(D, k1_zfmisc_1(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, B)))) )  =>  (r2_hidden(A, a_4_4_mmlquery(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, B) &  (A=F &  (r2_tarski(k1_card_1(k1_mmlquery(B, E, F)), k1_card_1(k1_mmlquery(B, C, F))) & r2_tarski(F, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_4_5_mmlquery, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(C, k1_zfmisc_1(B)) &  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B))) & v7_ordinal1(E)) )  =>  (r2_hidden(A, a_4_5_mmlquery(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, B) &  (A=F &  (k1_card_1(k1_mmlquery(B, D, F))=E & r2_tarski(F, C)) ) ) ) ) ) ) ).
fof(fraenkel_a_4_6_mmlquery, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(C, k1_zfmisc_1(B)) &  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B))) & v7_ordinal1(E)) )  =>  (r2_hidden(A, a_4_6_mmlquery(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, B) &  (A=F &  (r1_ordinal1(k1_card_1(k1_mmlquery(B, D, F)), E) & r2_tarski(F, C)) ) ) ) ) ) ) ).
fof(fraenkel_a_4_7_mmlquery, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(C, k1_zfmisc_1(B)) &  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B))) & v7_ordinal1(E)) )  =>  (r2_hidden(A, a_4_7_mmlquery(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, B) &  (A=F &  (r1_ordinal1(E, k1_card_1(k1_mmlquery(B, D, F))) & r2_tarski(F, C)) ) ) ) ) ) ) ).
fof(fraenkel_a_4_8_mmlquery, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(C, k1_zfmisc_1(B)) &  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B))) & v7_ordinal1(E)) )  =>  (r2_hidden(A, a_4_8_mmlquery(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, B) &  (A=F &  (r2_tarski(k1_card_1(k1_mmlquery(B, D, F)), E) & r2_tarski(F, C)) ) ) ) ) ) ) ).
fof(fraenkel_a_4_9_mmlquery, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(C, k1_zfmisc_1(B)) &  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B))) & v7_ordinal1(E)) )  =>  (r2_hidden(A, a_4_9_mmlquery(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, B) &  (A=F &  (r2_tarski(E, k1_card_1(k1_mmlquery(B, D, F))) & r2_tarski(F, C)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_2_mmlquery, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B))) & m1_subset_1(D, k1_zfmisc_1(B)))  =>  (r2_hidden(A, a_3_2_mmlquery(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, B) &  (A=k15_funcop_1(k1_mmlquery(B, C, E), k1_xboole_0, k1_tarski(E), k1_xboole_0) & r2_tarski(E, D)) ) ) ) ) ) ).
fof(fraenkel_a_4_10_mmlquery, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B))) &  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B))) & m1_subset_1(E, k1_zfmisc_1(B))) )  =>  (r2_hidden(A, a_4_10_mmlquery(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, B) &  (A=k15_mmlquery(B, k1_mmlquery(B, C, F), k1_mmlquery(B, D, F)) & r2_tarski(F, E)) ) ) ) ) ) ).
fof(fraenkel_a_4_11_mmlquery, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B))) &  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B))) & m1_subset_1(E, k1_zfmisc_1(B))) )  =>  (r2_hidden(A, a_4_11_mmlquery(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, B) &  (A=k16_mmlquery(B, k1_mmlquery(B, C, F), k1_mmlquery(B, D, F)) & r2_tarski(F, E)) ) ) ) ) ) ).
fof(fraenkel_a_4_12_mmlquery, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B))) &  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B))) & m1_subset_1(E, k1_zfmisc_1(B))) )  =>  (r2_hidden(A, a_4_12_mmlquery(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, B) &  (A=k17_mmlquery(B, k1_mmlquery(B, C, F), k1_mmlquery(B, D, F)) & r2_tarski(F, E)) ) ) ) ) ) ).
fof(fraenkel_a_4_13_mmlquery, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B))) &  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B))) & m1_subset_1(E, k1_zfmisc_1(B))) )  =>  (r2_hidden(A, a_4_13_mmlquery(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, B) &  (A=k3_mmlquery(B, D, k1_mmlquery(B, C, F)) & r2_tarski(F, E)) ) ) ) ) ) ).
fof(fraenkel_a_2_0_mmlquery, axiom,  (! [A, B, C] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r2_hidden(A, a_2_0_mmlquery(B, C)) <=>  (? [D] :  (m1_subset_1(D, k4_ordinal1) &  (A=D &  (r2_tarski(D, k4_finseq_1(B)) & r2_hidden(C, k1_funct_1(B, D))) ) ) ) ) ) ) ).
fof(fraenkel_a_3_3_mmlquery, axiom,  (! [A, B, C, D] :  ( (m2_finseq_1(C, k9_setfam_1(B)) & v7_ordinal1(D))  =>  (r2_hidden(A, a_3_3_mmlquery(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, B) &  (A=E & r1_xxreal_0(D, k24_mmlquery(C, E))) ) ) ) ) ) ).
fof(fraenkel_a_4_14_mmlquery, axiom,  (! [A, B, C, D, E] :  ( (m2_finseq_1(C, k9_setfam_1(B)) &  (v7_ordinal1(D) & v7_ordinal1(E)) )  =>  (r2_hidden(A, a_4_14_mmlquery(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, B) &  (A=F &  (r1_xxreal_0(D, k24_mmlquery(C, F)) & r1_xxreal_0(k24_mmlquery(C, F), E)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_mmlquery, axiom,  (! [A, B, C] :  ( (l1_mmlquery(B) & m2_finseq_1(C, u1_mmlquery(B)))  =>  (r2_hidden(A, a_2_1_mmlquery(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & r1_tarski(k2_relset_1(u1_mmlquery(B), C), k30_mmlquery(B, D))) ) ) ) ) ) ).
fof(fraenkel_a_2_2_mmlquery, axiom,  (! [A, B, C] :  ( (l1_mmlquery(B) & m2_finseq_1(C, u1_mmlquery(B)))  =>  (r2_hidden(A, a_2_2_mmlquery(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & r1_tarski(k30_mmlquery(B, D), k2_relset_1(u1_mmlquery(B), C))) ) ) ) ) ) ).
fof(fraenkel_a_2_3_mmlquery, axiom,  (! [A, B, C] :  ( (l1_mmlquery(B) & m2_finseq_1(C, u1_mmlquery(B)))  =>  (r2_hidden(A, a_2_3_mmlquery(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & k30_mmlquery(B, D)=k2_relset_1(u1_mmlquery(B), C)) ) ) ) ) ) ).
fof(fraenkel_a_3_4_mmlquery, axiom,  (! [A, B, C, D] :  ( (l1_mmlquery(B) &  (m2_finseq_1(C, u1_mmlquery(B)) & v7_ordinal1(D)) )  =>  (r2_hidden(A, a_3_4_mmlquery(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E & r1_xxreal_0(k4_card_1(k7_subset_1(u1_mmlquery(B), k2_relset_1(u1_mmlquery(B), C), k30_mmlquery(B, E))), D)) ) ) ) ) ) ).
fof(fraenkel_a_3_5_mmlquery, axiom,  (! [A, B, C, D] :  ( ( (v3_mmlquery(B) & l1_mmlquery(B))  &  (m2_finseq_1(C, u1_mmlquery(B)) & v7_ordinal1(D)) )  =>  (r2_hidden(A, a_3_5_mmlquery(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E & r1_xxreal_0(k4_card_1(k7_subset_1(u1_struct_0(B), k30_mmlquery(B, E), k2_relset_1(u1_mmlquery(B), C))), D)) ) ) ) ) ) ).
fof(fraenkel_a_4_15_mmlquery, axiom,  (! [A, B, C, D, E] :  ( ( (v3_mmlquery(B) & l1_mmlquery(B))  &  (m2_finseq_1(C, u1_mmlquery(B)) &  (v7_ordinal1(D) & v7_ordinal1(E)) ) )  =>  (r2_hidden(A, a_4_15_mmlquery(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (A=F &  (r1_xxreal_0(k4_card_1(k7_subset_1(u1_struct_0(B), k30_mmlquery(B, F), k2_relset_1(u1_mmlquery(B), C))), D) & r1_xxreal_0(k4_card_1(k7_subset_1(u1_mmlquery(B), k2_relset_1(u1_mmlquery(B), C), k30_mmlquery(B, F))), E)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_4_mmlquery, axiom,  (! [A, B, C] :  ( (l1_mmlquery(B) & m2_finseq_1(C, u1_mmlquery(B)))  =>  (r2_hidden(A, a_2_4_mmlquery(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=k31_mmlquery(B, D) & r2_tarski(D, k2_relset_1(u1_mmlquery(B), C))) ) ) ) ) ) ).
fof(fc1_mod_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k6_grcat_1(B, C)) &  (v1_funct_2(k6_grcat_1(B, C), u1_struct_0(B), u1_struct_0(C)) & v1_mod_2(k6_grcat_1(B, C), A, B, C)) ) ) ) ).
fof(rc1_mod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (? [B] :  (l1_mod_2(B, A) & v2_mod_2(B, A)) ) ) ) ).
fof(rc2_mod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (? [B] :  (l1_mod_2(B, A) &  (v2_mod_2(B, A) & v3_mod_2(B, A)) ) ) ) ) ).
fof(fc2_mod_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) ) )  =>  (v2_mod_2(k5_mod_2(A, B, C), A) & v3_mod_2(k5_mod_2(A, B, C), A)) ) ) ).
fof(rc3_mod_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) ) )  =>  (? [D] :  (m1_mod_2(D, A, B, C) &  (v2_mod_2(D, A) & v3_mod_2(D, A)) ) ) ) ) ).
fof(fc3_mod_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k3_struct_0(B)) &  (v1_funct_2(k3_struct_0(B), u1_struct_0(B), u1_struct_0(B)) & v1_mod_2(k3_struct_0(B), A, B, B)) ) ) ) ).
fof(fc4_mod_2, axiom,  ( ~ (v2_struct_0(k18_mod_2))  & v36_algstr_0(k18_mod_2)) ).
fof(fc5_mod_2, axiom,  (v36_algstr_0(k18_mod_2) & v4_vectsp_1(k18_mod_2)) ).
fof(fc6_mod_2, axiom,  (v13_algstr_0(k18_mod_2) &  (v36_algstr_0(k18_mod_2) &  (v3_rlvect_1(k18_mod_2) & v4_rlvect_1(k18_mod_2)) ) ) ).
fof(fc7_mod_2, axiom,  (v13_algstr_0(k18_mod_2) &  (v33_algstr_0(k18_mod_2) &  (v36_algstr_0(k18_mod_2) &  (v4_vectsp_1(k18_mod_2) &  (v5_vectsp_1(k18_mod_2) &  (v12_vectsp_1(k18_mod_2) &  (v2_rlvect_1(k18_mod_2) &  (v3_rlvect_1(k18_mod_2) &  (v4_rlvect_1(k18_mod_2) &  (v3_group_1(k18_mod_2) & v5_group_1(k18_mod_2)) ) ) ) ) ) ) ) ) ) ).
fof(d1_mod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  => k1_mod_2(A)=g1_vectsp_1(A, k1_tarski(k5_numbers), k9_funct_5, k5_funct_5, k10_funct_3(u1_struct_0(A), k1_tarski(k5_numbers)))) ) ).
fof(t1_mod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_mod_2(A))) => B=k4_struct_0(k1_mod_2(A))) ) ) ) ).
fof(d2_mod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (v1_mod_2(D, A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) => k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, k3_vectsp_1(A, B, E, F))=k3_vectsp_1(A, C, E, k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_mod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l1_vectsp_1(D, A))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(C), u1_struct_0(D)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D))))) )  =>  ( (v1_mod_2(E, A, B, C) & v1_mod_2(F, A, C, D))  => v1_mod_2(k1_partfun1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(C), u1_struct_0(D), E, F), A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_mod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (l1_mod_2(B, A) => k2_mod_2(A, B)=u1_mod_2(A, B)) ) ) ) ).
fof(d4_mod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (l1_mod_2(B, A) => k3_mod_2(A, B)=u2_mod_2(A, B)) ) ) ) ).
fof(d5_mod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (l1_mod_2(B, A) => k4_mod_2(A, B)=u3_mod_2(A, B)) ) ) ) ).
fof(t3_mod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  (l1_mod_2(D, A) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (D=g1_mod_2(A, B, C, E) =>  (k2_mod_2(A, D)=B &  (k3_mod_2(A, D)=C & r1_funct_2(u1_struct_0(k2_mod_2(A, D)), u1_struct_0(k3_mod_2(A, D)), u1_struct_0(B), u1_struct_0(C), k4_mod_2(A, D), E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_mod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  => k5_mod_2(A, B, C)=g1_mod_2(A, B, C, k6_grcat_1(B, C))) ) ) ) ) ) ).
fof(d7_mod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (l1_mod_2(B, A) =>  (v3_mod_2(B, A) <=>  (v13_vectsp_1(k4_mod_2(A, B), k2_mod_2(A, B), k3_mod_2(A, B)) & v1_mod_2(k4_mod_2(A, B), A, k2_mod_2(A, B), k3_mod_2(A, B))) ) ) ) ) ) ).
fof(t4_mod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v3_mod_2(B, A) & l1_mod_2(B, A))  =>  (v13_vectsp_1(u3_mod_2(A, B), u1_mod_2(A, B), u2_mod_2(A, B)) & v1_mod_2(u3_mod_2(A, B), A, u1_mod_2(A, B), u2_mod_2(A, B))) ) ) ) ) ).
fof(d8_mod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v3_mod_2(D, A) & l1_mod_2(D, A))  =>  (m1_mod_2(D, A, B, C) <=>  (k2_mod_2(A, D)=B & k3_mod_2(A, D)=C) ) ) ) ) ) ) ) ) ) ).
fof(t5_mod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  (l1_mod_2(D, A) =>  ( (k2_mod_2(A, D)=B &  (k3_mod_2(A, D)=C &  (v13_vectsp_1(k4_mod_2(A, D), k2_mod_2(A, D), k3_mod_2(A, D)) & v1_mod_2(k4_mod_2(A, D), A, k2_mod_2(A, D), k3_mod_2(A, D))) ) )  => m1_mod_2(D, A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t6_mod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  ( (v13_vectsp_1(D, B, C) & v1_mod_2(D, A, B, C))  =>  (v2_mod_2(g1_mod_2(A, B, C, D), A) & m1_mod_2(g1_mod_2(A, B, C, D), A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(d9_mod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  => k6_mod_2(A, B)=g1_mod_2(A, B, B, k3_struct_0(B))) ) ) ) ).
fof(t7_mod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_mod_2(D, A, B, C) =>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  &  (g1_mod_2(A, u1_mod_2(A, D), u2_mod_2(A, D), u3_mod_2(A, D))=g1_mod_2(A, B, C, E) &  (v13_vectsp_1(E, B, C) & v1_mod_2(E, A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_mod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v2_mod_2(D, A) & m1_mod_2(D, A, B, C))  =>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  & D=g1_mod_2(A, B, C, E)) ) ) ) ) ) ) ) ) ) ).
fof(t9_mod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v3_mod_2(B, A) & l1_mod_2(B, A))  =>  (? [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  &  (? [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v8_vectsp_1(D, A) &  (v9_vectsp_1(D, A) &  (v10_vectsp_1(D, A) &  (v11_vectsp_1(D, A) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l1_vectsp_1(D, A)) ) ) ) ) ) ) ) )  & m1_mod_2(B, A, C, D)) ) ) ) ) ) ) ) ).
fof(t10_mod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v2_mod_2(B, A) &  (v3_mod_2(B, A) & l1_mod_2(B, A)) )  =>  (? [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  &  (? [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v8_vectsp_1(D, A) &  (v9_vectsp_1(D, A) &  (v10_vectsp_1(D, A) &  (v11_vectsp_1(D, A) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l1_vectsp_1(D, A)) ) ) ) ) ) ) ) )  &  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D))))) )  &  ( (v2_mod_2(B, A) & m1_mod_2(B, A, C, D))  &  (B=g1_mod_2(A, C, D, E) &  (v13_vectsp_1(E, C, D) & v1_mod_2(E, A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_mod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v3_mod_2(B, A) & l1_mod_2(B, A))  =>  (! [C] :  ( (v3_mod_2(C, A) & l1_mod_2(C, A))  =>  ~ ( (k2_mod_2(A, B)=k3_mod_2(A, C) &  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v8_vectsp_1(D, A) &  (v9_vectsp_1(D, A) &  (v10_vectsp_1(D, A) &  (v11_vectsp_1(D, A) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l1_vectsp_1(D, A)) ) ) ) ) ) ) ) )  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v13_algstr_0(E) &  (v8_vectsp_1(E, A) &  (v9_vectsp_1(E, A) &  (v10_vectsp_1(E, A) &  (v11_vectsp_1(E, A) &  (v2_rlvect_1(E) &  (v3_rlvect_1(E) &  (v4_rlvect_1(E) & l1_vectsp_1(E, A)) ) ) ) ) ) ) ) )  =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v13_algstr_0(F) &  (v8_vectsp_1(F, A) &  (v9_vectsp_1(F, A) &  (v10_vectsp_1(F, A) &  (v11_vectsp_1(F, A) &  (v2_rlvect_1(F) &  (v3_rlvect_1(F) &  (v4_rlvect_1(F) & l1_vectsp_1(F, A)) ) ) ) ) ) ) ) )  =>  ~ ( (m1_mod_2(B, A, E, F) & m1_mod_2(C, A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_mod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v3_mod_2(B, A) & l1_mod_2(B, A))  =>  (! [C] :  ( (v3_mod_2(C, A) & l1_mod_2(C, A))  =>  (k2_mod_2(A, B)=k3_mod_2(A, C) =>  (! [D] :  ( (v2_mod_2(D, A) &  (v3_mod_2(D, A) & l1_mod_2(D, A)) )  =>  (D=k8_mod_2(A, B, C) <=>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v13_algstr_0(E) &  (v8_vectsp_1(E, A) &  (v9_vectsp_1(E, A) &  (v10_vectsp_1(E, A) &  (v11_vectsp_1(E, A) &  (v2_rlvect_1(E) &  (v3_rlvect_1(E) &  (v4_rlvect_1(E) & l1_vectsp_1(E, A)) ) ) ) ) ) ) ) )  =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v13_algstr_0(F) &  (v8_vectsp_1(F, A) &  (v9_vectsp_1(F, A) &  (v10_vectsp_1(F, A) &  (v11_vectsp_1(F, A) &  (v2_rlvect_1(F) &  (v3_rlvect_1(F) &  (v4_rlvect_1(F) & l1_vectsp_1(F, A)) ) ) ) ) ) ) ) )  =>  (! [G] :  ( ( ~ (v2_struct_0(G))  &  (v13_algstr_0(G) &  (v8_vectsp_1(G, A) &  (v9_vectsp_1(G, A) &  (v10_vectsp_1(G, A) &  (v11_vectsp_1(G, A) &  (v2_rlvect_1(G) &  (v3_rlvect_1(G) &  (v4_rlvect_1(G) & l1_vectsp_1(G, A)) ) ) ) ) ) ) ) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(F), u1_struct_0(G)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(F), u1_struct_0(G))))) )  =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(E), u1_struct_0(F)) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E), u1_struct_0(F))))) )  =>  ( (g1_mod_2(A, u1_mod_2(A, B), u2_mod_2(A, B), u3_mod_2(A, B))=g1_mod_2(A, F, G, H) & g1_mod_2(A, u1_mod_2(A, C), u2_mod_2(A, C), u3_mod_2(A, C))=g1_mod_2(A, E, F, I))  => D=g1_mod_2(A, E, G, k1_partfun1(u1_struct_0(E), u1_struct_0(F), u1_struct_0(F), u1_struct_0(G), I, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_mod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v8_vectsp_1(D, A) &  (v9_vectsp_1(D, A) &  (v10_vectsp_1(D, A) &  (v11_vectsp_1(D, A) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l1_vectsp_1(D, A)) ) ) ) ) ) ) ) )  =>  (! [E] :  (m1_mod_2(E, A, C, D) =>  (! [F] :  (m1_mod_2(F, A, B, C) =>  (v2_mod_2(k8_mod_2(A, E, F), A) & m1_mod_2(k8_mod_2(A, E, F), A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_mod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v8_vectsp_1(D, A) &  (v9_vectsp_1(D, A) &  (v10_vectsp_1(D, A) &  (v11_vectsp_1(D, A) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l1_vectsp_1(D, A)) ) ) ) ) ) ) ) )  =>  (! [E] :  (m1_mod_2(E, A, C, D) =>  (! [F] :  (m1_mod_2(F, A, B, C) => k9_mod_2(A, B, C, D, E, F)=k8_mod_2(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_mod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v8_vectsp_1(D, A) &  (v9_vectsp_1(D, A) &  (v10_vectsp_1(D, A) &  (v11_vectsp_1(D, A) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l1_vectsp_1(D, A)) ) ) ) ) ) ) ) )  =>  (! [E] :  (m1_mod_2(E, A, C, D) =>  (! [F] :  (m1_mod_2(F, A, B, C) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(C), u1_struct_0(D)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D))))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  ( (E=g1_mod_2(A, C, D, G) & F=g1_mod_2(A, B, C, H))  =>  (k9_mod_2(A, B, C, D, E, F)=g1_mod_2(A, B, D, k1_partfun1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(C), u1_struct_0(D), H, G)) & k8_mod_2(A, E, F)=g1_mod_2(A, B, D, k1_partfun1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(C), u1_struct_0(D), H, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_mod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v2_mod_2(B, A) &  (v3_mod_2(B, A) & l1_mod_2(B, A)) )  =>  (! [C] :  ( (v2_mod_2(C, A) &  (v3_mod_2(C, A) & l1_mod_2(C, A)) )  =>  ~ ( (k2_mod_2(A, C)=k3_mod_2(A, B) &  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v8_vectsp_1(D, A) &  (v9_vectsp_1(D, A) &  (v10_vectsp_1(D, A) &  (v11_vectsp_1(D, A) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l1_vectsp_1(D, A)) ) ) ) ) ) ) ) )  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v13_algstr_0(E) &  (v8_vectsp_1(E, A) &  (v9_vectsp_1(E, A) &  (v10_vectsp_1(E, A) &  (v11_vectsp_1(E, A) &  (v2_rlvect_1(E) &  (v3_rlvect_1(E) &  (v4_rlvect_1(E) & l1_vectsp_1(E, A)) ) ) ) ) ) ) ) )  =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v13_algstr_0(F) &  (v8_vectsp_1(F, A) &  (v9_vectsp_1(F, A) &  (v10_vectsp_1(F, A) &  (v11_vectsp_1(F, A) &  (v2_rlvect_1(F) &  (v3_rlvect_1(F) &  (v4_rlvect_1(F) & l1_vectsp_1(F, A)) ) ) ) ) ) ) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(D), u1_struct_0(E)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(E))))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(E), u1_struct_0(F)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E), u1_struct_0(F))))) )  =>  ~ ( (B=g1_mod_2(A, D, E, G) &  (C=g1_mod_2(A, E, F, H) & k8_mod_2(A, C, B)=g1_mod_2(A, D, F, k1_partfun1(u1_struct_0(D), u1_struct_0(E), u1_struct_0(E), u1_struct_0(F), G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_mod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v2_mod_2(B, A) &  (v3_mod_2(B, A) & l1_mod_2(B, A)) )  =>  (! [C] :  ( (v2_mod_2(C, A) &  (v3_mod_2(C, A) & l1_mod_2(C, A)) )  =>  (k2_mod_2(A, C)=k3_mod_2(A, B) =>  (k2_mod_2(A, k8_mod_2(A, C, B))=k2_mod_2(A, B) & k3_mod_2(A, k8_mod_2(A, C, B))=k3_mod_2(A, C)) ) ) ) ) ) ) ) ).
fof(t16_mod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v8_vectsp_1(D, A) &  (v9_vectsp_1(D, A) &  (v10_vectsp_1(D, A) &  (v11_vectsp_1(D, A) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l1_vectsp_1(D, A)) ) ) ) ) ) ) ) )  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v13_algstr_0(E) &  (v8_vectsp_1(E, A) &  (v9_vectsp_1(E, A) &  (v10_vectsp_1(E, A) &  (v11_vectsp_1(E, A) &  (v2_rlvect_1(E) &  (v3_rlvect_1(E) &  (v4_rlvect_1(E) & l1_vectsp_1(E, A)) ) ) ) ) ) ) ) )  =>  (! [F] :  ( (v2_mod_2(F, A) & m1_mod_2(F, A, B, C))  =>  (! [G] :  ( (v2_mod_2(G, A) & m1_mod_2(G, A, C, D))  =>  (! [H] :  ( (v2_mod_2(H, A) & m1_mod_2(H, A, D, E))  => k8_mod_2(A, H, k8_mod_2(A, G, F))=k8_mod_2(A, k8_mod_2(A, H, G), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_mod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v2_mod_2(B, A) &  (v3_mod_2(B, A) & l1_mod_2(B, A)) )  =>  (! [C] :  ( (v2_mod_2(C, A) &  (v3_mod_2(C, A) & l1_mod_2(C, A)) )  =>  (! [D] :  ( (v2_mod_2(D, A) &  (v3_mod_2(D, A) & l1_mod_2(D, A)) )  =>  ( (k2_mod_2(A, D)=k3_mod_2(A, C) & k2_mod_2(A, C)=k3_mod_2(A, B))  => k8_mod_2(A, D, k8_mod_2(A, C, B))=k8_mod_2(A, k8_mod_2(A, D, C), B)) ) ) ) ) ) ) ) ) ).
fof(t18_mod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (k2_mod_2(A, k6_mod_2(A, B))=B &  (k3_mod_2(A, k6_mod_2(A, B))=B &  ( (! [C] :  ( (v2_mod_2(C, A) &  (v3_mod_2(C, A) & l1_mod_2(C, A)) )  =>  (k3_mod_2(A, C)=B => k8_mod_2(A, k6_mod_2(A, B), C)=C) ) )  &  (! [C] :  ( (v2_mod_2(C, A) &  (v3_mod_2(C, A) & l1_mod_2(C, A)) )  =>  (k2_mod_2(A, C)=B => k8_mod_2(A, C, k6_mod_2(A, B))=C) ) ) ) ) ) ) ) ) ) ).
fof(t19_mod_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) => m1_subset_1(k1_enumset1(B, C, D), A)) ) ) ) ) ) ) ) ).
fof(t20_mod_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  (m1_subset_1(B, A) => m1_subset_1(k1_ordinal1(B), A)) ) ) ) ).
fof(t21_mod_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (m1_subset_1(k5_numbers, A) &  (m1_subset_1(1, A) & m1_subset_1(2, A)) ) ) ) ).
fof(d12_mod_2, axiom,  (! [A] :  (m1_subset_1(A, k1_enumset1(k5_numbers, 1, 2)) =>  ( (A=k5_numbers => k10_mod_2(A)=k5_numbers)  &  ( (A=1 => k10_mod_2(A)=2)  &  (A=2 => k10_mod_2(A)=1) ) ) ) ) ).
fof(d13_mod_2, axiom,  (! [A] :  (m1_subset_1(A, k1_enumset1(k5_numbers, 1, 2)) =>  (! [B] :  (m1_subset_1(B, k1_enumset1(k5_numbers, 1, 2)) =>  ( (A=k5_numbers => k11_mod_2(A, B)=B)  &  ( (B=k5_numbers => k11_mod_2(A, B)=A)  &  ( ( (A=1 & B=1)  => k11_mod_2(A, B)=2)  &  ( ( (A=1 & B=2)  => k11_mod_2(A, B)=k5_numbers)  &  ( ( (A=2 & B=1)  => k11_mod_2(A, B)=k5_numbers)  &  ( (A=2 & B=2)  => k11_mod_2(A, B)=1) ) ) ) ) ) ) ) ) ) ).
fof(d14_mod_2, axiom,  (! [A] :  (m1_subset_1(A, k1_enumset1(k5_numbers, 1, 2)) =>  (! [B] :  (m1_subset_1(B, k1_enumset1(k5_numbers, 1, 2)) =>  ( (B=k5_numbers => k12_mod_2(A, B)=k5_numbers)  &  ( (A=k5_numbers => k12_mod_2(A, B)=k5_numbers)  &  ( (B=1 => k12_mod_2(A, B)=A)  &  ( (A=1 => k12_mod_2(A, B)=B)  &  ( (A=2 & B=2)  => k12_mod_2(A, B)=1) ) ) ) ) ) ) ) ) ).
fof(d15_mod_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_enumset1(k5_numbers, 1, 2), k1_enumset1(k5_numbers, 1, 2)), k1_enumset1(k5_numbers, 1, 2)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(k5_numbers, 1, 2), k1_enumset1(k5_numbers, 1, 2)), k1_enumset1(k5_numbers, 1, 2))))) )  =>  (A=k13_mod_2 <=>  (! [B] :  (m1_subset_1(B, k1_enumset1(k5_numbers, 1, 2)) =>  (! [C] :  (m1_subset_1(C, k1_enumset1(k5_numbers, 1, 2)) => k4_binop_1(k1_enumset1(k5_numbers, 1, 2), A, B, C)=k11_mod_2(B, C)) ) ) ) ) ) ) ).
fof(d16_mod_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_enumset1(k5_numbers, 1, 2), k1_enumset1(k5_numbers, 1, 2)), k1_enumset1(k5_numbers, 1, 2)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(k5_numbers, 1, 2), k1_enumset1(k5_numbers, 1, 2)), k1_enumset1(k5_numbers, 1, 2))))) )  =>  (A=k14_mod_2 <=>  (! [B] :  (m1_subset_1(B, k1_enumset1(k5_numbers, 1, 2)) =>  (! [C] :  (m1_subset_1(C, k1_enumset1(k5_numbers, 1, 2)) => k4_binop_1(k1_enumset1(k5_numbers, 1, 2), A, B, C)=k12_mod_2(B, C)) ) ) ) ) ) ) ).
fof(d17_mod_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k1_enumset1(k5_numbers, 1, 2), k1_enumset1(k5_numbers, 1, 2)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_enumset1(k5_numbers, 1, 2), k1_enumset1(k5_numbers, 1, 2))))) )  =>  (A=k15_mod_2 <=>  (! [B] :  (m1_subset_1(B, k1_enumset1(k5_numbers, 1, 2)) => k3_funct_2(k1_enumset1(k5_numbers, 1, 2), k1_enumset1(k5_numbers, 1, 2), A, B)=k10_mod_2(B)) ) ) ) ) ).
fof(d18_mod_2, axiom, k16_mod_2=1).
fof(d19_mod_2, axiom, k17_mod_2=k5_numbers).
fof(d20_mod_2, axiom, k18_mod_2=g6_algstr_0(k1_enumset1(k5_numbers, 1, 2), k13_mod_2, k14_mod_2, k16_mod_2, k17_mod_2)).
fof(t22_mod_2, axiom,  (k4_struct_0(k18_mod_2)=k5_numbers &  (k5_struct_0(k18_mod_2)=1 &  (m1_subset_1(k4_struct_0(k18_mod_2), k1_enumset1(k5_numbers, 1, 2)) &  (m1_subset_1(k5_struct_0(k18_mod_2), k1_enumset1(k5_numbers, 1, 2)) &  (r1_funct_2(k2_zfmisc_1(u1_struct_0(k18_mod_2), u1_struct_0(k18_mod_2)), u1_struct_0(k18_mod_2), k2_zfmisc_1(k1_enumset1(k5_numbers, 1, 2), k1_enumset1(k5_numbers, 1, 2)), k1_enumset1(k5_numbers, 1, 2), u1_algstr_0(k18_mod_2), k13_mod_2) & r1_funct_2(k2_zfmisc_1(u1_struct_0(k18_mod_2), u1_struct_0(k18_mod_2)), u1_struct_0(k18_mod_2), k2_zfmisc_1(k1_enumset1(k5_numbers, 1, 2), k1_enumset1(k5_numbers, 1, 2)), k1_enumset1(k5_numbers, 1, 2), u2_algstr_0(k18_mod_2), k14_mod_2)) ) ) ) ) ).
fof(t23_mod_2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k18_mod_2)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k18_mod_2)) =>  (! [C] :  (m1_subset_1(C, k1_enumset1(k5_numbers, 1, 2)) =>  (! [D] :  (m1_subset_1(D, k1_enumset1(k5_numbers, 1, 2)) =>  ( (C=A & D=B)  =>  (k1_algstr_0(k18_mod_2, A, B)=k11_mod_2(C, D) &  (k6_algstr_0(k18_mod_2, A, B)=k12_mod_2(C, D) & k4_algstr_0(k18_mod_2, A)=k10_mod_2(C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_mod_2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k18_mod_2)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k18_mod_2)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k18_mod_2)) =>  (! [D] :  (m1_subset_1(D, k1_enumset1(k5_numbers, 1, 2)) =>  (! [E] :  (m1_subset_1(E, k1_enumset1(k5_numbers, 1, 2)) =>  (! [F] :  (m1_subset_1(F, k1_enumset1(k5_numbers, 1, 2)) =>  ( (D=A &  (E=B & F=C) )  =>  (k1_algstr_0(k18_mod_2, k1_algstr_0(k18_mod_2, A, B), C)=k11_mod_2(k11_mod_2(D, E), F) &  (k1_algstr_0(k18_mod_2, A, k1_algstr_0(k18_mod_2, B, C))=k11_mod_2(D, k11_mod_2(E, F)) &  (k6_algstr_0(k18_mod_2, k6_algstr_0(k18_mod_2, A, B), C)=k12_mod_2(k12_mod_2(D, E), F) & k6_algstr_0(k18_mod_2, A, k6_algstr_0(k18_mod_2, B, C))=k12_mod_2(D, k12_mod_2(E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_mod_2, axiom,  (! [A] :  (m1_subset_1(A, k1_enumset1(k5_numbers, 1, 2)) =>  (! [B] :  (m1_subset_1(B, k1_enumset1(k5_numbers, 1, 2)) =>  (! [C] :  (m1_subset_1(C, k1_enumset1(k5_numbers, 1, 2)) =>  (! [D] :  (m1_subset_1(D, k1_enumset1(k5_numbers, 1, 2)) =>  (! [E] :  (m1_subset_1(E, k1_enumset1(k5_numbers, 1, 2)) =>  ( (D=k5_numbers & E=1)  =>  (k11_mod_2(A, B)=k11_mod_2(B, A) &  (k11_mod_2(k11_mod_2(A, B), C)=k11_mod_2(A, k11_mod_2(B, C)) &  (k11_mod_2(A, D)=A &  (k11_mod_2(A, k10_mod_2(A))=D &  (k12_mod_2(A, B)=k12_mod_2(B, A) &  (k12_mod_2(k12_mod_2(A, B), C)=k12_mod_2(A, k12_mod_2(B, C)) &  (k12_mod_2(E, A)=A &  ( ~ ( ( ~ (A=D)  &  (! [F] :  (m1_subset_1(F, k1_enumset1(k5_numbers, 1, 2)) =>  ~ (k12_mod_2(A, F)=E) ) ) ) )  &  ( ~ (D=E)  & k12_mod_2(A, k11_mod_2(B, C))=k11_mod_2(k12_mod_2(A, B), k12_mod_2(A, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_mod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k1_algstr_0(A, B, C)=k1_algstr_0(A, C, B) &  (k1_algstr_0(A, k1_algstr_0(A, B, C), D)=k1_algstr_0(A, B, k1_algstr_0(A, C, D)) &  (k1_algstr_0(A, B, k4_struct_0(A))=B &  (k1_algstr_0(A, B, k4_algstr_0(A, B))=k4_struct_0(A) &  (k6_algstr_0(A, B, C)=k6_algstr_0(A, C, B) &  (k6_algstr_0(A, k6_algstr_0(A, B, C), D)=k6_algstr_0(A, B, k6_algstr_0(A, C, D)) &  (k6_algstr_0(A, k5_struct_0(A), B)=B &  (k6_algstr_0(A, B, k5_struct_0(A))=B &  ( ~ ( ( ~ (B=k4_struct_0(A))  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ (k6_algstr_0(A, B, E)=k5_struct_0(A)) ) ) ) )  &  ( ~ (k4_struct_0(A)=k5_struct_0(A))  & k6_algstr_0(A, B, k1_algstr_0(A, C, D))=k1_algstr_0(A, k6_algstr_0(A, B, C), k6_algstr_0(A, B, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_mod_2, axiom,  ( ~ (v2_struct_0(k18_mod_2))  &  ( ~ (v6_struct_0(k18_mod_2))  &  (v13_algstr_0(k18_mod_2) &  (v33_algstr_0(k18_mod_2) &  (v4_vectsp_1(k18_mod_2) &  (v5_vectsp_1(k18_mod_2) &  (v12_vectsp_1(k18_mod_2) &  (v2_rlvect_1(k18_mod_2) &  (v3_rlvect_1(k18_mod_2) &  (v4_rlvect_1(k18_mod_2) &  (v3_group_1(k18_mod_2) &  (v5_group_1(k18_mod_2) & l6_algstr_0(k18_mod_2)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_mod_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v1_classes2(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ( (r2_tarski(A, C) & r2_tarski(B, C))  => r2_tarski(D, C)) ) ) ) ) ) ) ) ) ).
fof(t29_mod_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (r2_tarski(u1_struct_0(k18_mod_2), A) &  (r2_tarski(u1_algstr_0(k18_mod_2), A) &  (r2_tarski(k4_vectsp_1(k18_mod_2), A) &  (r2_tarski(k4_struct_0(k18_mod_2), A) &  (r2_tarski(u2_algstr_0(k18_mod_2), A) & r2_tarski(k5_struct_0(k18_mod_2), A)) ) ) ) ) ) ) ).
fof(dt_k1_mod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k1_mod_2(A)))  &  (v13_algstr_0(k1_mod_2(A)) &  (v7_vectsp_1(k1_mod_2(A), A) &  (v8_vectsp_1(k1_mod_2(A), A) &  (v9_vectsp_1(k1_mod_2(A), A) &  (v10_vectsp_1(k1_mod_2(A), A) &  (v11_vectsp_1(k1_mod_2(A), A) &  (v2_rlvect_1(k1_mod_2(A)) &  (v3_rlvect_1(k1_mod_2(A)) &  (v4_rlvect_1(k1_mod_2(A)) & l1_vectsp_1(k1_mod_2(A), A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(abstractness_v2_mod_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  & l1_mod_2(B, A))  =>  (v2_mod_2(B, A) => B=g1_mod_2(A, u1_mod_2(A, B), u2_mod_2(A, B), u3_mod_2(A, B))) ) ) ).
fof(existence_l1_mod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (? [B] : l1_mod_2(B, A)) ) ) ).
fof(dt_g1_mod_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) )  =>  (v2_mod_2(g1_mod_2(A, B, C, D), A) & l1_mod_2(g1_mod_2(A, B, C, D), A)) ) ) ).
fof(free_g1_mod_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) )  =>  (! [E, F, G, H] :  (g1_mod_2(A, B, C, D)=g1_mod_2(E, F, G, H) =>  (A=E &  (B=F &  (C=G & D=H) ) ) ) ) ) ) ).
fof(dt_u1_mod_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  & l1_mod_2(B, A))  =>  ( ~ (v2_struct_0(u1_mod_2(A, B)))  &  (v13_algstr_0(u1_mod_2(A, B)) &  (v8_vectsp_1(u1_mod_2(A, B), A) &  (v9_vectsp_1(u1_mod_2(A, B), A) &  (v10_vectsp_1(u1_mod_2(A, B), A) &  (v11_vectsp_1(u1_mod_2(A, B), A) &  (v2_rlvect_1(u1_mod_2(A, B)) &  (v3_rlvect_1(u1_mod_2(A, B)) &  (v4_rlvect_1(u1_mod_2(A, B)) & l1_vectsp_1(u1_mod_2(A, B), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_u2_mod_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  & l1_mod_2(B, A))  =>  ( ~ (v2_struct_0(u2_mod_2(A, B)))  &  (v13_algstr_0(u2_mod_2(A, B)) &  (v8_vectsp_1(u2_mod_2(A, B), A) &  (v9_vectsp_1(u2_mod_2(A, B), A) &  (v10_vectsp_1(u2_mod_2(A, B), A) &  (v11_vectsp_1(u2_mod_2(A, B), A) &  (v2_rlvect_1(u2_mod_2(A, B)) &  (v3_rlvect_1(u2_mod_2(A, B)) &  (v4_rlvect_1(u2_mod_2(A, B)) & l1_vectsp_1(u2_mod_2(A, B), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_u3_mod_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  & l1_mod_2(B, A))  =>  (v1_funct_1(u3_mod_2(A, B)) &  (v1_funct_2(u3_mod_2(A, B), u1_struct_0(u1_mod_2(A, B)), u1_struct_0(u2_mod_2(A, B))) & m1_subset_1(u3_mod_2(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(u1_mod_2(A, B)), u1_struct_0(u2_mod_2(A, B)))))) ) ) ) ).
fof(dt_k2_mod_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  & l1_mod_2(B, A))  =>  ( ~ (v2_struct_0(k2_mod_2(A, B)))  &  (v13_algstr_0(k2_mod_2(A, B)) &  (v8_vectsp_1(k2_mod_2(A, B), A) &  (v9_vectsp_1(k2_mod_2(A, B), A) &  (v10_vectsp_1(k2_mod_2(A, B), A) &  (v11_vectsp_1(k2_mod_2(A, B), A) &  (v2_rlvect_1(k2_mod_2(A, B)) &  (v3_rlvect_1(k2_mod_2(A, B)) &  (v4_rlvect_1(k2_mod_2(A, B)) & l1_vectsp_1(k2_mod_2(A, B), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k3_mod_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  & l1_mod_2(B, A))  =>  ( ~ (v2_struct_0(k3_mod_2(A, B)))  &  (v13_algstr_0(k3_mod_2(A, B)) &  (v8_vectsp_1(k3_mod_2(A, B), A) &  (v9_vectsp_1(k3_mod_2(A, B), A) &  (v10_vectsp_1(k3_mod_2(A, B), A) &  (v11_vectsp_1(k3_mod_2(A, B), A) &  (v2_rlvect_1(k3_mod_2(A, B)) &  (v3_rlvect_1(k3_mod_2(A, B)) &  (v4_rlvect_1(k3_mod_2(A, B)) & l1_vectsp_1(k3_mod_2(A, B), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k4_mod_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  & l1_mod_2(B, A))  =>  (v1_funct_1(k4_mod_2(A, B)) &  (v1_funct_2(k4_mod_2(A, B), u1_struct_0(k2_mod_2(A, B)), u1_struct_0(k3_mod_2(A, B))) & m1_subset_1(k4_mod_2(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_mod_2(A, B)), u1_struct_0(k3_mod_2(A, B)))))) ) ) ) ).
fof(dt_k5_mod_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) ) )  =>  (v2_mod_2(k5_mod_2(A, B, C), A) & l1_mod_2(k5_mod_2(A, B, C), A)) ) ) ).
fof(dt_m1_mod_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_mod_2(D, A, B, C) =>  (v3_mod_2(D, A) & l1_mod_2(D, A)) ) ) ) ) ).
fof(existence_m1_mod_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) ) )  =>  (? [D] : m1_mod_2(D, A, B, C)) ) ) ).
fof(dt_k6_mod_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (v2_mod_2(k6_mod_2(A, B), A) & m1_mod_2(k6_mod_2(A, B), A, B, B)) ) ) ).
fof(dt_k7_mod_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) ) )  =>  (v2_mod_2(k7_mod_2(A, B, C), A) & m1_mod_2(k7_mod_2(A, B, C), A, B, C)) ) ) ).
fof(redefinition_k7_mod_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) ) )  => k7_mod_2(A, B, C)=k5_mod_2(A, B, C)) ) ).
fof(dt_k8_mod_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( (v3_mod_2(B, A) & l1_mod_2(B, A))  &  (v3_mod_2(C, A) & l1_mod_2(C, A)) ) )  =>  (v2_mod_2(k8_mod_2(A, B, C), A) &  (v3_mod_2(k8_mod_2(A, B, C), A) & l1_mod_2(k8_mod_2(A, B, C), A)) ) ) ) ).
fof(dt_k9_mod_2, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v8_vectsp_1(D, A) &  (v9_vectsp_1(D, A) &  (v10_vectsp_1(D, A) &  (v11_vectsp_1(D, A) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l1_vectsp_1(D, A)) ) ) ) ) ) ) ) )  &  (m1_mod_2(E, A, C, D) & m1_mod_2(F, A, B, C)) ) ) ) )  =>  (v2_mod_2(k9_mod_2(A, B, C, D, E, F), A) & m1_mod_2(k9_mod_2(A, B, C, D, E, F), A, B, D)) ) ) ).
fof(dt_k10_mod_2, axiom,  (! [A] :  (m1_subset_1(A, k1_enumset1(k5_numbers, 1, 2)) => m1_subset_1(k10_mod_2(A), k1_enumset1(k5_numbers, 1, 2))) ) ).
fof(dt_k11_mod_2, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_enumset1(k5_numbers, 1, 2)) & m1_subset_1(B, k1_enumset1(k5_numbers, 1, 2)))  => m1_subset_1(k11_mod_2(A, B), k1_enumset1(k5_numbers, 1, 2))) ) ).
fof(dt_k12_mod_2, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_enumset1(k5_numbers, 1, 2)) & m1_subset_1(B, k1_enumset1(k5_numbers, 1, 2)))  => m1_subset_1(k12_mod_2(A, B), k1_enumset1(k5_numbers, 1, 2))) ) ).
fof(dt_k13_mod_2, axiom,  (v1_funct_1(k13_mod_2) &  (v1_funct_2(k13_mod_2, k2_zfmisc_1(k1_enumset1(k5_numbers, 1, 2), k1_enumset1(k5_numbers, 1, 2)), k1_enumset1(k5_numbers, 1, 2)) & m1_subset_1(k13_mod_2, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(k5_numbers, 1, 2), k1_enumset1(k5_numbers, 1, 2)), k1_enumset1(k5_numbers, 1, 2))))) ) ).
fof(dt_k14_mod_2, axiom,  (v1_funct_1(k14_mod_2) &  (v1_funct_2(k14_mod_2, k2_zfmisc_1(k1_enumset1(k5_numbers, 1, 2), k1_enumset1(k5_numbers, 1, 2)), k1_enumset1(k5_numbers, 1, 2)) & m1_subset_1(k14_mod_2, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(k5_numbers, 1, 2), k1_enumset1(k5_numbers, 1, 2)), k1_enumset1(k5_numbers, 1, 2))))) ) ).
fof(dt_k15_mod_2, axiom,  (v1_funct_1(k15_mod_2) &  (v1_funct_2(k15_mod_2, k1_enumset1(k5_numbers, 1, 2), k1_enumset1(k5_numbers, 1, 2)) & m1_subset_1(k15_mod_2, k1_zfmisc_1(k2_zfmisc_1(k1_enumset1(k5_numbers, 1, 2), k1_enumset1(k5_numbers, 1, 2))))) ) ).
fof(dt_k16_mod_2, axiom, m1_subset_1(k16_mod_2, k1_enumset1(k5_numbers, 1, 2))).
fof(dt_k17_mod_2, axiom, m1_subset_1(k17_mod_2, k1_enumset1(k5_numbers, 1, 2))).
fof(dt_k18_mod_2, axiom,  (v36_algstr_0(k18_mod_2) & l6_algstr_0(k18_mod_2)) ).
fof(rc1_mod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (? [B] :  (l1_vectsp_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v7_vectsp_1(B, A) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & v3_vectsp_7(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_mod_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) & v2_vectsp_7(C, A, B)) ) ) ) ).
fof(cc1_mod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (l1_vectsp_1(B, A) =>  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) & v4_rlvect_1(B)) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & v3_vectsp_7(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_mod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) )  =>  ~ (k4_struct_0(A)=k4_algstr_0(A, k5_struct_0(A))) ) ) ).
fof(t2_mod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_6(C, A, B) =>  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))))  =>  ~ ( (r1_tarski(k1_vectsp_6(A, B, C), D) &  (! [E] :  (m2_finseq_1(E, u1_struct_0(B)) =>  ~ ( (v2_funct_1(E) &  (k10_xtuple_0(E)=D & k4_vectsp_6(A, B, C)=k4_rlvect_1(B, k3_vectsp_6(A, B, E, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_mod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_6(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k4_vectsp_6(A, B, k6_vectsp_6(A, B, D, C))=k3_vectsp_1(A, B, D, k4_vectsp_6(A, B, C))) ) ) ) ) ) ) ) ).
fof(t4_mod_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, B) &  (v9_vectsp_1(C, B) &  (v10_vectsp_1(C, B) &  (v11_vectsp_1(C, B) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, B)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(C))) =>  (r1_struct_0(k1_vectsp_7(B, C, D), A) <=>  (? [E] :  (m2_vectsp_6(E, B, C, D) & A=k4_vectsp_6(B, C, E)) ) ) ) ) ) ) ) ) ) ).
fof(t5_mod_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, B) &  (v9_vectsp_1(C, B) &  (v10_vectsp_1(C, B) &  (v11_vectsp_1(C, B) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, B)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(C))) =>  (r2_hidden(A, D) => r1_struct_0(k1_vectsp_7(B, C, D), A)) ) ) ) ) ) ) ) ).
fof(t6_mod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  => k1_vectsp_7(A, B, k1_subset_1(u1_struct_0(B)))=k1_vectsp_4(A, B)) ) ) ) ).
fof(t7_mod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  ~ ( (k1_vectsp_7(A, B, C)=k1_vectsp_4(A, B) &  ( ~ (C=k1_xboole_0)  &  ~ (C=k6_domain_1(u1_struct_0(B), k4_struct_0(B))) ) ) ) ) ) ) ) ) ) ).
fof(t8_mod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  ( (v7_vectsp_1(D, A) & m1_vectsp_4(D, A, B))  =>  (C=u1_struct_0(D) => k1_vectsp_7(A, B, C)=D) ) ) ) ) ) ) ) ) ).
fof(t9_mod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v7_vectsp_1(B, A) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (C=u1_struct_0(B) => k1_vectsp_7(A, B, C)=B) ) ) ) ) ) ) ).
fof(t10_mod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (r1_tarski(C, D) => m1_vectsp_4(k1_vectsp_7(A, B, C), A, k1_vectsp_7(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t11_mod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  ( (k1_vectsp_7(A, B, C)=B & r1_tarski(C, D))  => k1_vectsp_7(A, B, D)=B) ) ) ) ) ) ) ) ) ).
fof(t12_mod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) => k1_vectsp_7(A, B, k4_subset_1(u1_struct_0(B), C, D))=k1_vectsp_5(A, B, k1_vectsp_7(A, B, C), k1_vectsp_7(A, B, D))) ) ) ) ) ) ) ) ).
fof(t13_mod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) => m1_vectsp_4(k1_vectsp_7(A, B, k9_subset_1(u1_struct_0(B), C, D)), A, k2_vectsp_5(A, B, k1_vectsp_7(A, B, C), k1_vectsp_7(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t14_mod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  => v3_vectsp_7(k1_vectsp_4(A, B), A)) ) ) ) ).
fof(t15_mod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (v1_vectsp_7(k6_domain_1(u1_struct_0(B), C), A, B) <=>  ~ (C=k4_struct_0(B)) ) ) ) ) ) ) ) ).
fof(t16_mod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  ( (v1_vectsp_7(k7_domain_1(u1_struct_0(B), C, D), A, B) =>  (C=D |  ( ~ (D=k4_struct_0(B))  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ (C=k3_vectsp_1(A, B, E, D)) ) ) ) ) )  &  ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ (C=k3_vectsp_1(A, B, E, D)) ) )  =>  (D=k4_struct_0(B) |  ( ~ (C=D)  & v1_vectsp_7(k7_domain_1(u1_struct_0(B), C, D), A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_mod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  ( ( ~ (C=D)  & v1_vectsp_7(k7_domain_1(u1_struct_0(B), C, D), A, B))  <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (k3_rlvect_1(B, k3_vectsp_1(A, B, E, C), k3_vectsp_1(A, B, F, D))=k4_struct_0(B) =>  (E=k4_struct_0(A) & F=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_mod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  ~ ( (v1_vectsp_7(C, A, B) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  ~ ( (r1_tarski(C, D) & v2_vectsp_7(D, A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_mod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  ~ ( (k1_vectsp_7(A, B, C)=B &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  ~ ( (r1_tarski(D, C) & v2_vectsp_7(D, A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_mod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  => v3_vectsp_7(B, A)) ) ) ) ).
fof(t21_mod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  ~ ( (v1_vectsp_7(C, A, B) &  (! [D] :  ( (v2_vectsp_7(D, A, B) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))))  =>  ~ (r1_tarski(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_mod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  ~ ( (k1_vectsp_7(A, B, C)=B &  (! [D] :  ( (v2_vectsp_7(D, A, B) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))))  =>  ~ (r1_tarski(D, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  (v1_funct_1(k3_struct_0(A)) &  (v1_funct_2(k3_struct_0(A), u1_struct_0(A), u1_struct_0(A)) & v3_funct_2(k3_struct_0(A), u1_struct_0(A), u1_struct_0(A))) ) ) ) ).
fof(fc2_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  ( ~ (v2_struct_0(k1_mod_4(A)))  & v36_algstr_0(k1_mod_4(A))) ) ) ).
fof(fc3_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) & l6_algstr_0(A)) )  =>  (v36_algstr_0(k1_mod_4(A)) & v4_vectsp_1(k1_mod_4(A))) ) ) ).
fof(fc4_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) )  =>  (v13_algstr_0(k1_mod_4(A)) &  (v36_algstr_0(k1_mod_4(A)) &  (v3_rlvect_1(k1_mod_4(A)) & v4_rlvect_1(k1_mod_4(A))) ) ) ) ) ).
fof(fc5_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) & l6_algstr_0(A)) )  =>  (v36_algstr_0(k1_mod_4(A)) & v2_rlvect_1(k1_mod_4(A))) ) ) ).
fof(fc6_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) & l6_algstr_0(A)) )  =>  (v36_algstr_0(k1_mod_4(A)) & v3_rlvect_1(k1_mod_4(A))) ) ) ).
fof(fc7_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_rlvect_1(A) & l6_algstr_0(A)) )  =>  (v36_algstr_0(k1_mod_4(A)) & v4_rlvect_1(k1_mod_4(A))) ) ) ).
fof(fc8_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) & l6_algstr_0(A)) )  =>  (v13_algstr_0(k1_mod_4(A)) & v36_algstr_0(k1_mod_4(A))) ) ) ).
fof(fc9_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_group_1(A) & l6_algstr_0(A)) )  =>  (v36_algstr_0(k1_mod_4(A)) & v3_group_1(k1_mod_4(A))) ) ) ).
fof(fc10_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_vectsp_1(A) & l6_algstr_0(A)) )  =>  (v36_algstr_0(k1_mod_4(A)) & v5_vectsp_1(k1_mod_4(A))) ) ) ).
fof(fc11_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  ( ~ (v6_struct_0(k1_mod_4(A)))  &  (v13_algstr_0(k1_mod_4(A)) &  (v33_algstr_0(k1_mod_4(A)) &  (v36_algstr_0(k1_mod_4(A)) &  (v5_vectsp_1(k1_mod_4(A)) &  (v2_rlvect_1(k1_mod_4(A)) &  (v3_rlvect_1(k1_mod_4(A)) &  (v4_rlvect_1(k1_mod_4(A)) &  (v1_group_1(k1_mod_4(A)) & v3_group_1(k1_mod_4(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(fc12_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (v33_algstr_0(k1_mod_4(A)) & v36_algstr_0(k1_mod_4(A))) ) ) ).
fof(fc13_mod_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A)) )  =>  ( ~ (v2_struct_0(k2_mod_4(A, B)))  & v2_vectsp_2(k2_mod_4(A, B), k1_mod_4(A))) ) ) ).
fof(fc14_mod_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ~ (v2_struct_0(B))  & l1_vectsp_2(B, A)) )  =>  ( ~ (v2_struct_0(k4_mod_4(A, B)))  & v7_vectsp_1(k4_mod_4(A, B), k1_mod_4(A))) ) ) ).
fof(fc15_mod_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (v13_algstr_0(k2_mod_4(A, B)) &  (v2_rlvect_1(k2_mod_4(A, B)) &  (v3_rlvect_1(k2_mod_4(A, B)) &  (v4_rlvect_1(k2_mod_4(A, B)) &  (v2_vectsp_2(k2_mod_4(A, B), k1_mod_4(A)) & v4_vectsp_2(k2_mod_4(A, B), k1_mod_4(A))) ) ) ) ) ) ) ).
fof(fc16_mod_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) ) )  =>  (v13_algstr_0(k4_mod_4(A, B)) &  (v7_vectsp_1(k4_mod_4(A, B), k1_mod_4(A)) &  (v8_vectsp_1(k4_mod_4(A, B), k1_mod_4(A)) &  (v9_vectsp_1(k4_mod_4(A, B), k1_mod_4(A)) &  (v10_vectsp_1(k4_mod_4(A, B), k1_mod_4(A)) &  (v11_vectsp_1(k4_mod_4(A, B), k1_mod_4(A)) &  (v2_rlvect_1(k4_mod_4(A, B)) &  (v3_rlvect_1(k4_mod_4(A, B)) & v4_rlvect_1(k4_mod_4(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(cc1_mod_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ~ (v2_struct_0(B))  & l6_algstr_0(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) =>  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v2_mod_4(C, A, B)) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v6_group_1(C, A, B) & v1_mod_4(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(cc2_mod_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ~ (v2_struct_0(B))  & l6_algstr_0(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) =>  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v6_group_1(C, A, B) & v1_mod_4(C, A, B)) ) ) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v2_mod_4(C, A, B)) ) ) ) ) ) ) ).
fof(cc3_mod_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ~ (v2_struct_0(B))  & l6_algstr_0(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) =>  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v3_mod_4(C, A, B)) )  =>  (v1_funct_1(C) &  (v2_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v1_ringcat1(C, A, B)) ) ) ) ) ) ) ) ).
fof(cc4_mod_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ~ (v2_struct_0(B))  & l6_algstr_0(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) =>  ( (v1_funct_1(C) &  (v2_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v1_ringcat1(C, A, B)) ) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v3_mod_4(C, A, B)) ) ) ) ) ) ) ).
fof(cc5_mod_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ~ (v2_struct_0(B))  & l6_algstr_0(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) =>  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v4_mod_4(C, A, B)) )  =>  (v1_funct_1(C) &  (v2_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v2_mod_4(C, A, B)) ) ) ) ) ) ) ) ).
fof(cc6_mod_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ~ (v2_struct_0(B))  & l6_algstr_0(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) =>  ( (v1_funct_1(C) &  (v2_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v2_mod_4(C, A, B)) ) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v4_mod_4(C, A, B)) ) ) ) ) ) ) ).
fof(cc7_mod_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ~ (v2_struct_0(B))  & l6_algstr_0(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) =>  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_mod_4(C, A, B)) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v2_funct_2(C, u1_struct_0(B)) & v1_ringcat1(C, A, B)) ) ) ) ) ) ) ) ).
fof(cc8_mod_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ~ (v2_struct_0(B))  & l6_algstr_0(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) =>  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v2_funct_2(C, u1_struct_0(B)) & v1_ringcat1(C, A, B)) ) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_mod_4(C, A, B)) ) ) ) ) ) ) ).
fof(cc9_mod_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ~ (v2_struct_0(B))  & l6_algstr_0(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) =>  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v6_mod_4(C, A, B)) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v2_funct_2(C, u1_struct_0(B)) & v2_mod_4(C, A, B)) ) ) ) ) ) ) ) ).
fof(cc10_mod_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ~ (v2_struct_0(B))  & l6_algstr_0(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) =>  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v2_funct_2(C, u1_struct_0(B)) & v2_mod_4(C, A, B)) ) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v6_mod_4(C, A, B)) ) ) ) ) ) ) ).
fof(cc11_mod_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ~ (v2_struct_0(B))  & l6_algstr_0(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) =>  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v7_mod_4(C, A, B)) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v2_funct_2(C, u1_struct_0(B)) & v3_mod_4(C, A, B)) ) ) ) ) ) ) ) ).
fof(cc12_mod_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ~ (v2_struct_0(B))  & l6_algstr_0(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) =>  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v2_funct_2(C, u1_struct_0(B)) & v3_mod_4(C, A, B)) ) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v7_mod_4(C, A, B)) ) ) ) ) ) ) ).
fof(cc13_mod_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ~ (v2_struct_0(B))  & l6_algstr_0(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) =>  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v8_mod_4(C, A, B)) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v2_funct_2(C, u1_struct_0(B)) & v4_mod_4(C, A, B)) ) ) ) ) ) ) ) ).
fof(cc14_mod_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ~ (v2_struct_0(B))  & l6_algstr_0(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) =>  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v2_funct_2(C, u1_struct_0(B)) & v4_mod_4(C, A, B)) ) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v8_mod_4(C, A, B)) ) ) ) ) ) ) ).
fof(cc15_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & v9_mod_4(B, A)) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & v1_ringcat1(B, A, A)) ) ) ) ) ) ) ).
fof(cc16_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & v1_ringcat1(B, A, A)) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & v9_mod_4(B, A)) ) ) ) ) ) ) ).
fof(cc17_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & v10_mod_4(B, A)) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & v2_mod_4(B, A, A)) ) ) ) ) ) ) ).
fof(cc18_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & v2_mod_4(B, A, A)) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & v10_mod_4(B, A)) ) ) ) ) ) ) ).
fof(fc17_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (v1_funct_1(k3_struct_0(A)) &  (v1_funct_2(k3_struct_0(A), u1_struct_0(A), u1_struct_0(A)) & v7_mod_4(k3_struct_0(A), A, A)) ) ) ) ).
fof(rc1_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v3_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & v13_vectsp_1(B, A, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_mod_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, B) => k2_binop_1(A, B, C, D, E, F)=k2_binop_1(B, A, C, k13_funct_4(A, B, C, D), F, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  => k1_mod_4(A)=g6_algstr_0(u1_struct_0(A), u1_algstr_0(A), k13_funct_4(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u2_algstr_0(A)), k5_struct_0(A), k4_struct_0(A))) ) ).
fof(t2_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (g2_algstr_0(u1_struct_0(k1_mod_4(A)), u1_algstr_0(k1_mod_4(A)), u2_struct_0(k1_mod_4(A)))=g2_algstr_0(u1_struct_0(A), u1_algstr_0(A), u2_struct_0(A)) &  ( ( (v3_rlvect_1(A) &  (v4_rlvect_1(A) & v13_algstr_0(A)) )  => r1_funct_2(u1_struct_0(k1_mod_4(A)), u1_struct_0(k1_mod_4(A)), u1_struct_0(A), u1_struct_0(A), k4_vectsp_1(k1_mod_4(A)), k4_vectsp_1(A)))  &  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_mod_4(A))) <=> m1_subset_1(B, u1_struct_0(A))) ) ) ) ) ) ).
fof(t3_mod_4, axiom,  ( (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l6_algstr_0(A)) )  => k5_struct_0(A)=k5_struct_0(k1_mod_4(A))) )  &  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) )  =>  (k4_struct_0(A)=k4_struct_0(k1_mod_4(A)) &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k1_mod_4(A))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k1_mod_4(A))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k1_mod_4(A))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k1_mod_4(A))) =>  ( (B=F &  (C=G &  (D=H & E=I) ) )  =>  (k1_algstr_0(A, B, C)=k1_algstr_0(k1_mod_4(A), F, G) &  (k6_algstr_0(A, B, C)=k6_algstr_0(k1_mod_4(A), G, F) &  (k4_algstr_0(A, B)=k4_algstr_0(k1_mod_4(A), F) &  (k1_algstr_0(A, k1_algstr_0(A, B, C), D)=k1_algstr_0(k1_mod_4(A), k1_algstr_0(k1_mod_4(A), F, G), H) &  (k1_algstr_0(A, B, k1_algstr_0(A, C, D))=k1_algstr_0(k1_mod_4(A), F, k1_algstr_0(k1_mod_4(A), G, H)) &  (k6_algstr_0(A, k6_algstr_0(A, B, C), D)=k6_algstr_0(k1_mod_4(A), H, k6_algstr_0(k1_mod_4(A), G, F)) &  (k6_algstr_0(A, B, k6_algstr_0(A, C, D))=k6_algstr_0(k1_mod_4(A), k6_algstr_0(k1_mod_4(A), H, G), F) &  (k6_algstr_0(A, B, k1_algstr_0(A, C, D))=k6_algstr_0(k1_mod_4(A), k1_algstr_0(k1_mod_4(A), G, H), F) &  (k6_algstr_0(A, k1_algstr_0(A, C, D), B)=k6_algstr_0(k1_mod_4(A), F, k1_algstr_0(k1_mod_4(A), G, H)) & k1_algstr_0(A, k6_algstr_0(A, B, C), k6_algstr_0(A, D, E))=k1_algstr_0(k1_mod_4(A), k6_algstr_0(k1_mod_4(A), G, F), k6_algstr_0(k1_mod_4(A), I, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k1_mod_4(A)))  &  (v13_algstr_0(k1_mod_4(A)) &  (v36_algstr_0(k1_mod_4(A)) &  (v4_vectsp_1(k1_mod_4(A)) &  (v5_vectsp_1(k1_mod_4(A)) &  (v2_rlvect_1(k1_mod_4(A)) &  (v3_rlvect_1(k1_mod_4(A)) &  (v4_rlvect_1(k1_mod_4(A)) &  (v3_group_1(k1_mod_4(A)) & l6_algstr_0(k1_mod_4(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k1_mod_4(A)))  &  ( ~ (v6_struct_0(k1_mod_4(A)))  &  (v13_algstr_0(k1_mod_4(A)) &  (v33_algstr_0(k1_mod_4(A)) &  (v4_vectsp_1(k1_mod_4(A)) &  (v5_vectsp_1(k1_mod_4(A)) &  (v2_rlvect_1(k1_mod_4(A)) &  (v3_rlvect_1(k1_mod_4(A)) &  (v4_rlvect_1(k1_mod_4(A)) &  (v3_group_1(k1_mod_4(A)) & l6_algstr_0(k1_mod_4(A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k1_mod_4(A)))  &  ( ~ (v6_struct_0(k1_mod_4(A)))  &  (v13_algstr_0(k1_mod_4(A)) &  (v33_algstr_0(k1_mod_4(A)) &  (v36_algstr_0(k1_mod_4(A)) &  (v4_vectsp_1(k1_mod_4(A)) &  (v5_vectsp_1(k1_mod_4(A)) &  (v2_rlvect_1(k1_mod_4(A)) &  (v3_rlvect_1(k1_mod_4(A)) &  (v4_rlvect_1(k1_mod_4(A)) &  (v3_group_1(k1_mod_4(A)) &  (v5_group_1(k1_mod_4(A)) & l6_algstr_0(k1_mod_4(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( (v2_vectsp_2(C, k1_mod_4(A)) & l1_vectsp_2(C, k1_mod_4(A)))  =>  (C=k2_mod_4(A, B) <=>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(k1_mod_4(A))), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(k1_mod_4(A))), u1_struct_0(B))))) )  =>  (r1_funct_2(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(k1_mod_4(A))), u1_struct_0(B), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)), u1_struct_0(B), D, k13_funct_4(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_vectsp_1(A, B))) => C=g1_vectsp_2(k1_mod_4(A), u1_struct_0(B), u1_algstr_0(B), k4_struct_0(B), D)) ) ) ) ) ) ) ) ) ) ).
fof(t7_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (g2_algstr_0(u1_struct_0(k2_mod_4(A, B)), u1_algstr_0(k2_mod_4(A, B)), u2_struct_0(k2_mod_4(A, B)))=g2_algstr_0(u1_struct_0(B), u1_algstr_0(B), u2_struct_0(B)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) <=> m1_subset_1(C, u1_struct_0(k2_mod_4(A, B)))) ) ) ) ) ) ) ).
fof(d3_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(B))))) )  => k3_mod_4(A, B, C)=k13_funct_4(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), C)) ) ) ) ) ) ).
fof(t8_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  => r8_binop_1(u1_struct_0(k2_mod_4(A, B)), u1_struct_0(k1_mod_4(A)), u1_struct_0(k2_mod_4(A, B)), u1_vectsp_2(k1_mod_4(A), k2_mod_4(A, B)), k3_mod_4(A, B, u1_vectsp_1(A, B)))) ) ) ) ).
fof(d4_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_2(B, A))  =>  (! [C] :  ( (v7_vectsp_1(C, k1_mod_4(A)) & l1_vectsp_1(C, k1_mod_4(A)))  =>  (C=k4_mod_4(A, B) <=>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(k1_mod_4(A)), u1_struct_0(B)), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_mod_4(A)), u1_struct_0(B)), u1_struct_0(B))))) )  =>  (r1_funct_2(k2_zfmisc_1(u1_struct_0(k1_mod_4(A)), u1_struct_0(B)), u1_struct_0(B), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(B), D, k13_funct_4(u1_struct_0(B), u1_struct_0(A), u1_struct_0(B), u1_vectsp_2(A, B))) => C=g1_vectsp_1(k1_mod_4(A), u1_struct_0(B), u1_algstr_0(B), k4_struct_0(B), D)) ) ) ) ) ) ) ) ) ) ).
fof(t9_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_2(B, A))  =>  (g2_algstr_0(u1_struct_0(k4_mod_4(A, B)), u1_algstr_0(k4_mod_4(A, B)), u2_struct_0(k4_mod_4(A, B)))=g2_algstr_0(u1_struct_0(B), u1_algstr_0(B), u2_struct_0(B)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) <=> m1_subset_1(C, u1_struct_0(k4_mod_4(A, B)))) ) ) ) ) ) ) ).
fof(d5_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_2(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)), u1_struct_0(B))))) )  => k5_mod_4(A, B, C)=k13_funct_4(u1_struct_0(B), u1_struct_0(A), u1_struct_0(B), C)) ) ) ) ) ) ).
fof(t10_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_2(B, A))  => r8_binop_1(u1_struct_0(k1_mod_4(A)), u1_struct_0(k4_mod_4(A, B)), u1_struct_0(k4_mod_4(A, B)), u1_vectsp_1(k1_mod_4(A), k4_mod_4(A, B)), k5_mod_4(A, B, u1_vectsp_2(A, B)))) ) ) ) ).
fof(t11_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(B))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k1_mod_4(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k2_mod_4(A, B))) =>  ( (D=E & F=G)  => k2_binop_1(u1_struct_0(k2_mod_4(A, B)), u1_struct_0(k1_mod_4(A)), u1_struct_0(k2_mod_4(A, B)), k3_mod_4(A, B, C), G, E)=k2_binop_1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), C, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l1_vectsp_2(D, B))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(C)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(D)) =>  ( (B=k1_mod_4(A) &  (D=k2_mod_4(A, C) &  (E=F & G=H) ) )  => k4_vectsp_2(B, D, F, H)=k3_vectsp_1(A, C, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l1_vectsp_2(D, B))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(D)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(D)) =>  ( (D=k2_mod_4(A, C) &  (E=G & F=H) )  => k1_algstr_0(D, G, H)=k1_algstr_0(C, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_2(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)), u1_struct_0(B))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k1_mod_4(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k4_mod_4(A, B))) =>  ( (D=E & F=G)  => k2_binop_1(u1_struct_0(k1_mod_4(A)), u1_struct_0(k4_mod_4(A, B)), u1_struct_0(k4_mod_4(A, B)), k5_mod_4(A, B, C), E, G)=k2_binop_1(u1_struct_0(B), u1_struct_0(A), u1_struct_0(B), C, F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l1_vectsp_2(D, B))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(C)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(D)) =>  ( (C=k4_mod_4(B, D) &  (E=F & G=H) )  => k4_vectsp_2(B, D, F, H)=k3_vectsp_1(A, C, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_vectsp_1(C, A))  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l1_vectsp_2(D, B))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(D)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(D)) =>  ( (C=k4_mod_4(B, D) &  (E=G & F=H) )  => k1_algstr_0(D, G, H)=k1_algstr_0(C, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v36_algstr_0(A) & l6_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  => k4_mod_4(k1_mod_4(A), k2_mod_4(A, B))=g1_vectsp_1(A, u1_struct_0(B), u1_algstr_0(B), u2_struct_0(B), u1_vectsp_1(A, B))) ) ) ) ).
fof(t18_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v36_algstr_0(A) & l6_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_vectsp_2(B, A))  => k2_mod_4(k1_mod_4(A), k4_mod_4(A, B))=g1_vectsp_2(A, u1_struct_0(B), u1_algstr_0(B), u2_struct_0(B), u1_vectsp_2(A, B))) ) ) ) ).
fof(t19_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k2_mod_4(A, B)))  &  (v13_algstr_0(k2_mod_4(A, B)) &  (v2_rlvect_1(k2_mod_4(A, B)) &  (v3_rlvect_1(k2_mod_4(A, B)) &  (v4_rlvect_1(k2_mod_4(A, B)) &  (v2_vectsp_2(k2_mod_4(A, B), k1_mod_4(A)) &  (v4_vectsp_2(k2_mod_4(A, B), k1_mod_4(A)) & l1_vectsp_2(k2_mod_4(A, B), k1_mod_4(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  ( ~ (v2_struct_0(k4_mod_4(A, B)))  &  (v13_algstr_0(k4_mod_4(A, B)) &  (v7_vectsp_1(k4_mod_4(A, B), k1_mod_4(A)) &  (v8_vectsp_1(k4_mod_4(A, B), k1_mod_4(A)) &  (v9_vectsp_1(k4_mod_4(A, B), k1_mod_4(A)) &  (v10_vectsp_1(k4_mod_4(A, B), k1_mod_4(A)) &  (v11_vectsp_1(k4_mod_4(A, B), k1_mod_4(A)) &  (v2_rlvect_1(k4_mod_4(A, B)) &  (v3_rlvect_1(k4_mod_4(A, B)) &  (v4_rlvect_1(k4_mod_4(A, B)) & l1_vectsp_1(k4_mod_4(A, B), k1_mod_4(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v1_mod_4(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k6_algstr_0(A, D, E))=k6_algstr_0(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, E), k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l6_algstr_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v2_mod_4(C, A, B) <=>  (v13_vectsp_1(C, A, B) &  (v1_mod_4(C, A, B) & v6_group_1(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(d8_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l6_algstr_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v3_mod_4(C, A, B) <=>  (v1_ringcat1(C, A, B) & v2_funct_1(C)) ) ) ) ) ) ) ) ).
fof(d9_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l6_algstr_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v4_mod_4(C, A, B) <=>  (v2_mod_4(C, A, B) & v2_funct_1(C)) ) ) ) ) ) ) ) ).
fof(d10_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l6_algstr_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v5_mod_4(C, A, B) <=>  (v1_ringcat1(C, A, B) & v2_funct_2(C, u1_struct_0(B))) ) ) ) ) ) ) ) ).
fof(d11_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l6_algstr_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v6_mod_4(C, A, B) <=>  (v2_mod_4(C, A, B) & v2_funct_2(C, u1_struct_0(B))) ) ) ) ) ) ) ) ).
fof(d12_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l6_algstr_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v7_mod_4(C, A, B) <=>  (v3_mod_4(C, A, B) & v2_funct_2(C, u1_struct_0(B))) ) ) ) ) ) ) ) ).
fof(d13_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l6_algstr_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v8_mod_4(C, A, B) <=>  (v4_mod_4(C, A, B) & v2_funct_2(C, u1_struct_0(B))) ) ) ) ) ) ) ) ).
fof(d14_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (v9_mod_4(B, A) <=> v1_ringcat1(B, A, A)) ) ) ) ) ).
fof(d15_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (v10_mod_4(B, A) <=> v2_mod_4(B, A, A)) ) ) ) ) ).
fof(t21_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (v7_mod_4(B, A, A) <=>  (v13_vectsp_1(B, A, A) &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, k6_algstr_0(A, C, D))=k6_algstr_0(A, k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, C), k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, D))) ) ) )  &  (k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, k1_group_1(A))=k1_group_1(A) &  (v2_funct_1(B) & v2_funct_2(B, u1_struct_0(A))) ) ) ) ) ) ) ) ) ).
fof(t22_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (v8_mod_4(B, A, A) <=>  (v13_vectsp_1(B, A, A) &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, k6_algstr_0(A, C, D))=k6_algstr_0(A, k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, D), k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, C))) ) ) )  &  (k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, k1_group_1(A))=k1_group_1(A) &  (v2_funct_1(B) & v2_funct_2(B, u1_struct_0(A))) ) ) ) ) ) ) ) ) ).
fof(t23_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (v1_ringcat1(C, A, B) =>  (k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k4_struct_0(A))=k4_struct_0(B) &  (k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k4_algstr_0(A, D))=k4_algstr_0(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D)) & k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k5_algstr_0(A, D, E))=k5_algstr_0(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D), k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (v2_mod_4(C, A, B) =>  (k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k4_struct_0(A))=k4_struct_0(B) &  (k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k4_algstr_0(A, D))=k4_algstr_0(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D)) & k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k5_algstr_0(A, D, E))=k5_algstr_0(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D), k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (v8_mod_4(k3_struct_0(A), A, A) <=>  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (v8_mod_4(k3_struct_0(A), A, A) <=>  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l6_algstr_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  => k6_mod_4(A, B, C)=C) ) ) ) ) ) ).
fof(t28_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v1_ringcat1(C, A, B) <=> v2_mod_4(k6_mod_4(A, B, C), A, k1_mod_4(B))) ) ) ) ) ) ) ).
fof(t29_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v2_mod_4(C, A, B) <=> v1_ringcat1(k6_mod_4(A, B, C), A, k1_mod_4(B))) ) ) ) ) ) ) ).
fof(t30_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v3_mod_4(C, A, B) <=> v4_mod_4(k6_mod_4(A, B, C), A, k1_mod_4(B))) ) ) ) ) ) ) ).
fof(t31_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v4_mod_4(C, A, B) <=> v3_mod_4(k6_mod_4(A, B, C), A, k1_mod_4(B))) ) ) ) ) ) ) ).
fof(t32_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v5_mod_4(C, A, B) <=> v6_mod_4(k6_mod_4(A, B, C), A, k1_mod_4(B))) ) ) ) ) ) ) ).
fof(t33_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v6_mod_4(C, A, B) <=> v5_mod_4(k6_mod_4(A, B, C), A, k1_mod_4(B))) ) ) ) ) ) ) ).
fof(t34_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v7_mod_4(C, A, B) <=> v8_mod_4(k6_mod_4(A, B, C), A, k1_mod_4(B))) ) ) ) ) ) ) ).
fof(t35_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v8_mod_4(C, A, B) <=> v7_mod_4(k6_mod_4(A, B, C), A, k1_mod_4(B))) ) ) ) ) ) ) ).
fof(t36_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (v9_mod_4(B, A) <=> v2_mod_4(k6_mod_4(A, A, B), A, k1_mod_4(A))) ) ) ) ) ).
fof(t37_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (v10_mod_4(B, A) <=> v1_ringcat1(k6_mod_4(A, A, B), A, k1_mod_4(A))) ) ) ) ) ).
fof(t38_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (v7_mod_4(B, A, A) <=> v8_mod_4(k6_mod_4(A, A, B), A, k1_mod_4(A))) ) ) ) ) ).
fof(t39_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (v8_mod_4(B, A, A) <=> v7_mod_4(k6_mod_4(A, A, B), A, k1_mod_4(A))) ) ) ) ) ).
fof(t40_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k4_struct_0(A))=k4_struct_0(B) &  (k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k4_algstr_0(A, D))=k4_algstr_0(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D)) & k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k5_algstr_0(A, D, E))=k5_algstr_0(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D), k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v8_vectsp_1(D, A) &  (v9_vectsp_1(D, A) &  (v10_vectsp_1(D, A) &  (v11_vectsp_1(D, A) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l1_vectsp_1(D, A)) ) ) ) ) ) ) ) )  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v13_algstr_0(E) &  (v8_vectsp_1(E, B) &  (v9_vectsp_1(E, B) &  (v10_vectsp_1(E, B) &  (v11_vectsp_1(E, B) &  (v2_rlvect_1(E) &  (v3_rlvect_1(E) &  (v4_rlvect_1(E) & l1_vectsp_1(E, B)) ) ) ) ) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(D), u1_struct_0(E)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(E))))) )  =>  (m1_mod_4(F, A, B, C, D, E) <=>  ( (! [G] :  (m1_subset_1(G, u1_struct_0(D)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(D)) => k3_funct_2(u1_struct_0(D), u1_struct_0(E), F, k3_rlvect_1(D, G, H))=k3_rlvect_1(E, k3_funct_2(u1_struct_0(D), u1_struct_0(E), F, G), k3_funct_2(u1_struct_0(D), u1_struct_0(E), F, H))) ) ) )  &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(D)) => k3_funct_2(u1_struct_0(D), u1_struct_0(E), F, k3_vectsp_1(A, D, G, H))=k3_vectsp_1(B, E, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, G), k3_funct_2(u1_struct_0(D), u1_struct_0(E), F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v8_vectsp_1(D, A) &  (v9_vectsp_1(D, A) &  (v10_vectsp_1(D, A) &  (v11_vectsp_1(D, A) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l1_vectsp_1(D, A)) ) ) ) ) ) ) ) )  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v13_algstr_0(E) &  (v8_vectsp_1(E, B) &  (v9_vectsp_1(E, B) &  (v10_vectsp_1(E, B) &  (v11_vectsp_1(E, B) &  (v2_rlvect_1(E) &  (v3_rlvect_1(E) &  (v4_rlvect_1(E) & l1_vectsp_1(E, B)) ) ) ) ) ) ) ) )  => m1_mod_4(k6_grcat_1(D, E), A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(t42_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (m1_mod_4(D, A, A, k3_struct_0(A), B, C) <=>  ( (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) => k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, k3_rlvect_1(B, E, F))=k3_rlvect_1(C, k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, E), k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, F))) ) ) )  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) => k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, k3_vectsp_1(A, B, E, F))=k3_vectsp_1(A, C, E, k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_mod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (v36_algstr_0(k1_mod_4(A)) & l6_algstr_0(k1_mod_4(A))) ) ) ).
fof(dt_k2_mod_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A)) )  =>  (v2_vectsp_2(k2_mod_4(A, B), k1_mod_4(A)) & l1_vectsp_2(k2_mod_4(A, B), k1_mod_4(A))) ) ) ).
fof(dt_k3_mod_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_1(B, A))  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(B))))) ) ) )  =>  (v1_funct_1(k3_mod_4(A, B, C)) &  (v1_funct_2(k3_mod_4(A, B, C), k2_zfmisc_1(u1_struct_0(k2_mod_4(A, B)), u1_struct_0(k1_mod_4(A))), u1_struct_0(k2_mod_4(A, B))) & m1_subset_1(k3_mod_4(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_mod_4(A, B)), u1_struct_0(k1_mod_4(A))), u1_struct_0(k2_mod_4(A, B)))))) ) ) ) ).
fof(dt_k4_mod_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ~ (v2_struct_0(B))  & l1_vectsp_2(B, A)) )  =>  (v7_vectsp_1(k4_mod_4(A, B), k1_mod_4(A)) & l1_vectsp_1(k4_mod_4(A, B), k1_mod_4(A))) ) ) ).
fof(dt_k5_mod_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_vectsp_2(B, A))  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)), u1_struct_0(B))))) ) ) )  =>  (v1_funct_1(k5_mod_4(A, B, C)) &  (v1_funct_2(k5_mod_4(A, B, C), k2_zfmisc_1(u1_struct_0(k1_mod_4(A)), u1_struct_0(k4_mod_4(A, B))), u1_struct_0(k4_mod_4(A, B))) & m1_subset_1(k5_mod_4(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_mod_4(A)), u1_struct_0(k4_mod_4(A, B))), u1_struct_0(k4_mod_4(A, B)))))) ) ) ) ).
fof(dt_k6_mod_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ( ~ (v2_struct_0(B))  & l6_algstr_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (v1_funct_1(k6_mod_4(A, B, C)) &  (v1_funct_2(k6_mod_4(A, B, C), u1_struct_0(A), u1_struct_0(k1_mod_4(B))) & m1_subset_1(k6_mod_4(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k1_mod_4(B)))))) ) ) ) ).
fof(dt_m1_mod_4, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  &  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v8_vectsp_1(D, A) &  (v9_vectsp_1(D, A) &  (v10_vectsp_1(D, A) &  (v11_vectsp_1(D, A) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l1_vectsp_1(D, A)) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(E))  &  (v13_algstr_0(E) &  (v8_vectsp_1(E, B) &  (v9_vectsp_1(E, B) &  (v10_vectsp_1(E, B) &  (v11_vectsp_1(E, B) &  (v2_rlvect_1(E) &  (v3_rlvect_1(E) &  (v4_rlvect_1(E) & l1_vectsp_1(E, B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [F] :  (m1_mod_4(F, A, B, C, D, E) =>  (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(D), u1_struct_0(E)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(E))))) ) ) ) ) ) ).
fof(existence_m1_mod_4, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  &  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v8_vectsp_1(D, A) &  (v9_vectsp_1(D, A) &  (v10_vectsp_1(D, A) &  (v11_vectsp_1(D, A) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) & l1_vectsp_1(D, A)) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(E))  &  (v13_algstr_0(E) &  (v8_vectsp_1(E, B) &  (v9_vectsp_1(E, B) &  (v10_vectsp_1(E, B) &  (v11_vectsp_1(E, B) &  (v2_rlvect_1(E) &  (v3_rlvect_1(E) &  (v4_rlvect_1(E) & l1_vectsp_1(E, B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (? [F] : m1_mod_4(F, A, B, C, D, E)) ) ) ).
fof(fc1_modal_1, axiom,  ~ (v1_xboole_0(k3_modal_1)) ).
fof(fc2_modal_1, axiom,  ~ (v1_xboole_0(k4_modal_1)) ).
fof(cc1_modal_1, axiom,  (! [A] :  (m1_subset_1(A, k6_modal_1) => v1_finset_1(A)) ) ).
fof(rc1_modal_1, axiom,  (? [A] :  (m1_subset_1(A, k6_modal_1) &  (v1_relat_1(A) &  (v5_relat_1(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1)) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v3_trees_2(A) & v1_modal_1(A)) ) ) ) ) ) ) ).
fof(rc2_modal_1, axiom,  (? [A] :  (m1_subset_1(A, k6_modal_1) &  (v1_relat_1(A) &  (v5_relat_1(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1)) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v3_trees_2(A) & v2_modal_1(A)) ) ) ) ) ) ) ).
fof(rc3_modal_1, axiom,  (? [A] :  (m1_subset_1(A, k6_modal_1) &  (v1_relat_1(A) &  (v5_relat_1(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1)) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v3_trees_2(A) & v3_modal_1(A)) ) ) ) ) ) ) ).
fof(rc4_modal_1, axiom,  (? [A] :  (m1_subset_1(A, k6_modal_1) &  (v1_relat_1(A) &  (v5_relat_1(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1)) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v3_trees_2(A) & v4_modal_1(A)) ) ) ) ) ) ) ).
fof(d1_modal_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_trees_1(A))  => k1_modal_1(A)=k1_xboole_0) ) ).
fof(d2_modal_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v3_trees_2(B)) ) )  => k2_modal_1(A, B)=k3_trees_2(A, B, k1_modal_1(k9_xtuple_0(B)))) ) ) ) ).
fof(t1_modal_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  ~ ( ( ~ (A=B)  & r3_xboole_0(k14_trees_3(A), k8_finseq_1(k4_ordinal1, k14_trees_3(B), C))) ) ) ) ) ) ) ) ).
fof(t3_modal_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  ~ ( ( ~ (A=B)  & r2_xboole_0(k14_trees_3(A), k8_finseq_1(k4_ordinal1, k14_trees_3(B), C))) ) ) ) ) ) ) ) ).
fof(t8_modal_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_trees_1(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(B, C) & r2_tarski(k14_trees_3(C), A))  => r2_tarski(k14_trees_3(B), A)) ) ) ) ) ) ) ).
fof(t9_modal_1, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (r2_xboole_0(k8_finseq_1(k4_ordinal1, A, C), k8_finseq_1(k4_ordinal1, A, B)) => r2_xboole_0(C, B)) ) ) ) ) ) ) ).
fof(t10_modal_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1)) &  (v1_funct_1(A) & v3_trees_2(A)) ) )  => r2_tarski(A, k4_partfun1(k3_finseq_2(k4_ordinal1), k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) ).
fof(t11_modal_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_trees_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_trees_1(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v1_trees_1(C))  =>  (! [D] :  (m1_trees_1(D, A) =>  (k5_trees_1(A, D, B)=k5_trees_1(A, D, C) => B=C) ) ) ) ) ) ) ) ) ).
fof(t12_modal_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v3_trees_2(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v1_funct_1(C) & v3_trees_2(C)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, A) &  (v1_funct_1(D) & v3_trees_2(D)) ) )  =>  (! [E] :  (m1_trees_1(E, k9_xtuple_0(B)) =>  (k7_trees_2(B, E, C)=k7_trees_2(B, E, D) => C=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_modal_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_trees_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_trees_1(B))  =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (r2_tarski(C, A) =>  (! [D] :  (m1_trees_1(D, k5_trees_1(A, C, B)) =>  (! [E] :  (m1_trees_1(E, A) =>  ( (D=E & r2_xboole_0(E, C))  => k1_trees_2(k5_trees_1(A, C, B), D)=k1_trees_2(A, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_modal_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_trees_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_trees_1(B))  =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (r2_tarski(C, A) =>  (! [D] :  (m1_trees_1(D, k5_trees_1(A, C, B)) =>  (! [E] :  (m1_trees_1(E, A) =>  (D=E =>  (r3_xboole_0(C, E) | k1_trees_2(k5_trees_1(A, C, B), D)=k1_trees_2(A, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_modal_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_trees_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_trees_1(B))  =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (r2_tarski(C, A) =>  (! [D] :  (m1_trees_1(D, k5_trees_1(A, C, B)) =>  (! [E] :  (m1_trees_1(E, B) =>  (D=k8_finseq_1(k4_ordinal1, C, E) => r2_wellord2(k1_trees_2(k5_trees_1(A, C, B), D), k1_trees_2(B, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_modal_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_trees_1(A))  =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (r2_tarski(B, A) =>  (! [C] :  (m1_trees_1(C, A) =>  (! [D] :  (m1_trees_1(D, k4_trees_1(A, B)) =>  (C=k8_finseq_1(k4_ordinal1, B, D) => r2_wellord2(k1_trees_2(A, C), k1_trees_2(k4_trees_1(A, B), D))) ) ) ) ) ) ) ) ) ) ).
fof(t17_modal_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v1_trees_1(A)) )  =>  (k8_trees_2(A, k1_modal_1(A))=k5_numbers =>  (k4_card_1(A)=1 & A=k1_tarski(k1_xboole_0)) ) ) ) ).
fof(t18_modal_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v1_trees_1(A)) )  =>  (k8_trees_2(A, k1_modal_1(A))=1 => k1_trees_2(A, k1_modal_1(A))=k6_domain_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)), k14_trees_3(k5_numbers))) ) ) ).
fof(t19_modal_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v1_trees_1(A)) )  =>  (k8_trees_2(A, k1_modal_1(A))=2 => k1_trees_2(A, k1_modal_1(A))=k7_domain_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)), k14_trees_3(k5_numbers), k14_trees_3(1))) ) ) ).
fof(t21_modal_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v1_trees_1(A)) )  =>  (! [B] :  (m1_trees_1(B, A) =>  ~ ( ( ~ (B=k1_modal_1(A))  & r1_xxreal_0(k4_card_1(A), k4_card_1(k4_trees_1(A, B)))) ) ) ) ) ) ).
fof(t22_modal_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v1_trees_1(A)) )  =>  (! [B] :  (m1_trees_1(B, A) =>  (k1_trees_2(A, k1_modal_1(A))=k6_domain_1(A, B) => A=k5_trees_1(k2_trees_1(1), k14_trees_3(k5_numbers), k4_trees_1(A, B))) ) ) ) ) ).
fof(t23_modal_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_finset_1(B) & v3_trees_2(B)) ) ) )  =>  (! [C] :  (m1_trees_1(C, k9_xtuple_0(B)) =>  (k1_trees_2(k9_xtuple_0(B), k1_modal_1(k9_xtuple_0(B)))=k6_domain_1(k9_xtuple_0(B), C) => B=k7_trees_2(k8_funcop_1(A, k2_trees_1(1), k2_modal_1(A, B)), k14_trees_3(k5_numbers), k5_trees_2(B, C))) ) ) ) ) ) ) ).
fof(t24_modal_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_trees_1(A))  =>  (! [B] :  (m1_trees_1(B, A) =>  (! [C] :  (m1_trees_1(C, A) =>  ( (B=k14_trees_3(k5_numbers) &  (C=k14_trees_3(1) & k1_trees_2(A, k1_modal_1(A))=k7_domain_1(A, B, C)) )  => A=k5_trees_1(k5_trees_1(k2_trees_1(2), k14_trees_3(k5_numbers), k4_trees_1(A, B)), k14_trees_3(1), k4_trees_1(A, C))) ) ) ) ) ) ) ).
fof(t25_modal_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v3_trees_2(B)) ) )  =>  (! [C] :  (m1_trees_1(C, k9_xtuple_0(B)) =>  (! [D] :  (m1_trees_1(D, k9_xtuple_0(B)) =>  ( (C=k14_trees_3(k5_numbers) &  (D=k14_trees_3(1) & k1_trees_2(k9_xtuple_0(B), k1_modal_1(k9_xtuple_0(B)))=k7_domain_1(k9_xtuple_0(B), C, D)) )  => B=k7_trees_2(k7_trees_2(k8_funcop_1(A, k2_trees_1(2), k2_modal_1(A, B)), k14_trees_3(k5_numbers), k5_trees_2(B, C)), k14_trees_3(1), k5_trees_2(B, D))) ) ) ) ) ) ) ) ) ).
fof(d3_modal_1, axiom, k3_modal_1=k2_zfmisc_1(k6_domain_1(k4_ordinal1, 3), k4_ordinal1)).
fof(d4_modal_1, axiom, k4_modal_1=k2_zfmisc_1(k8_domain_1(k4_ordinal1, k5_numbers, 1, 2), k4_ordinal1)).
fof(t26_modal_1, axiom, r1_subset_1(k4_modal_1, k3_modal_1)).
fof(d5_modal_1, axiom,  (! [A] :  (m1_trees_3(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1)) =>  (A=k6_modal_1 <=>  ( (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1)) &  (v1_funct_1(B) & v3_trees_2(B)) ) )  =>  (r2_tarski(B, A) => v1_finset_1(B)) ) )  &  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k2_zfmisc_1(k4_ordinal1, k4_ordinal1)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v3_trees_2(B)) ) ) )  =>  (r2_tarski(B, A) <=>  (! [C] :  (m1_trees_1(C, k9_xtuple_0(B)) =>  (r1_xxreal_0(k5_modal_1(k9_xtuple_0(B), C), 2) &  ( ~ ( (k5_modal_1(k9_xtuple_0(B), C)=k5_numbers &  ( ~ (k3_trees_2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), B, C)=k1_domain_1(k4_ordinal1, k4_ordinal1, k5_numbers, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) =>  ~ (k3_trees_2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), B, C)=k4_tarski(3, D)) ) ) ) ) )  &  ( ~ ( (k5_modal_1(k9_xtuple_0(B), C)=1 &  ( ~ (k3_trees_2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), B, C)=k1_domain_1(k4_ordinal1, k4_ordinal1, 1, k5_numbers))  &  ~ (k3_trees_2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), B, C)=k1_domain_1(k4_ordinal1, k4_ordinal1, 1, 1)) ) ) )  &  (k5_modal_1(k9_xtuple_0(B), C)=2 => k3_trees_2(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), B, C)=k1_domain_1(k4_ordinal1, k4_ordinal1, 2, k5_numbers)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_modal_1, axiom,  (! [A] :  (m1_subset_1(A, k4_modal_1) => k8_modal_1(A)=k1_xtuple_0(A)) ) ).
fof(d7_modal_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v3_trees_2(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v1_funct_1(C) & v3_trees_2(C)) ) )  =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  (r2_tarski(D, k9_xtuple_0(B)) => k9_modal_1(A, B, C, D)=k7_trees_2(B, D, C)) ) ) ) ) ) ) ) ) ).
fof(t27_modal_1, axiom,  (! [A] :  (m1_subset_1(A, k6_modal_1) => m1_subset_1(k7_trees_2(k8_funcop_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k2_trees_1(1), k1_domain_1(k4_ordinal1, k4_ordinal1, 1, k5_numbers)), k14_trees_3(k5_numbers), A), k6_modal_1)) ) ).
fof(t28_modal_1, axiom,  (! [A] :  (m1_subset_1(A, k6_modal_1) => m1_subset_1(k7_trees_2(k8_funcop_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k2_trees_1(1), k1_domain_1(k4_ordinal1, k4_ordinal1, 1, 1)), k14_trees_3(k5_numbers), A), k6_modal_1)) ) ).
fof(t29_modal_1, axiom,  (! [A] :  (m1_subset_1(A, k6_modal_1) =>  (! [B] :  (m1_subset_1(B, k6_modal_1) => m1_subset_1(k7_trees_2(k7_trees_2(k8_funcop_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k2_trees_1(2), k1_domain_1(k4_ordinal1, k4_ordinal1, 2, k5_numbers)), k14_trees_3(k5_numbers), A), k14_trees_3(1), B), k6_modal_1)) ) ) ) ).
fof(d8_modal_1, axiom,  (! [A] :  (m1_subset_1(A, k6_modal_1) => k10_modal_1(A)=k7_trees_2(k8_funcop_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k2_trees_1(1), k1_domain_1(k4_ordinal1, k4_ordinal1, 1, k5_numbers)), k14_trees_3(k5_numbers), A)) ) ).
fof(d9_modal_1, axiom,  (! [A] :  (m1_subset_1(A, k6_modal_1) => k11_modal_1(A)=k7_trees_2(k8_funcop_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k2_trees_1(1), k1_domain_1(k4_ordinal1, k4_ordinal1, 1, 1)), k14_trees_3(k5_numbers), A)) ) ).
fof(d10_modal_1, axiom,  (! [A] :  (m1_subset_1(A, k6_modal_1) =>  (! [B] :  (m1_subset_1(B, k6_modal_1) => k12_modal_1(A, B)=k7_trees_2(k7_trees_2(k8_funcop_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k2_trees_1(2), k1_domain_1(k4_ordinal1, k4_ordinal1, 2, k5_numbers)), k14_trees_3(k5_numbers), A), k14_trees_3(1), B)) ) ) ) ).
fof(d11_modal_1, axiom,  (! [A] :  (m1_subset_1(A, k6_modal_1) => k13_modal_1(A)=k10_modal_1(k11_modal_1(k10_modal_1(A)))) ) ).
fof(d12_modal_1, axiom,  (! [A] :  (m1_subset_1(A, k6_modal_1) =>  (! [B] :  (m1_subset_1(B, k6_modal_1) => k14_modal_1(A, B)=k10_modal_1(k12_modal_1(k10_modal_1(A), k10_modal_1(B)))) ) ) ) ).
fof(d13_modal_1, axiom,  (! [A] :  (m1_subset_1(A, k6_modal_1) =>  (! [B] :  (m1_subset_1(B, k6_modal_1) => k15_modal_1(A, B)=k10_modal_1(k12_modal_1(A, k10_modal_1(B)))) ) ) ) ).
fof(t30_modal_1, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k7_funcop_1(k2_trees_1(k5_numbers), k4_tarski(3, A)), k6_modal_1)) ) ).
fof(t31_modal_1, axiom, m1_subset_1(k8_funcop_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k2_trees_1(k5_numbers), k1_domain_1(k4_ordinal1, k4_ordinal1, k5_numbers, k5_numbers)), k6_modal_1)).
fof(d14_modal_1, axiom,  (! [A] :  (m1_subset_1(A, k3_modal_1) => k16_modal_1(A)=k8_funcop_1(k3_modal_1, k2_trees_1(k5_numbers), A)) ) ).
fof(t32_modal_1, axiom,  (! [A] :  (m1_subset_1(A, k3_modal_1) =>  (! [B] :  (m1_subset_1(B, k3_modal_1) =>  (k16_modal_1(A)=k16_modal_1(B) => A=B) ) ) ) ) ).
fof(t33_modal_1, axiom,  (! [A] :  (m1_subset_1(A, k6_modal_1) =>  (! [B] :  (m1_subset_1(B, k6_modal_1) =>  (k10_modal_1(A)=k10_modal_1(B) => A=B) ) ) ) ) ).
fof(t34_modal_1, axiom,  (! [A] :  (m1_subset_1(A, k6_modal_1) =>  (! [B] :  (m1_subset_1(B, k6_modal_1) =>  (k11_modal_1(A)=k11_modal_1(B) => A=B) ) ) ) ) ).
fof(t35_modal_1, axiom,  (! [A] :  (m1_subset_1(A, k6_modal_1) =>  (! [B] :  (m1_subset_1(B, k6_modal_1) =>  (! [C] :  (m1_subset_1(C, k6_modal_1) =>  (! [D] :  (m1_subset_1(D, k6_modal_1) =>  (k12_modal_1(A, C)=k12_modal_1(B, D) =>  (A=B & C=D) ) ) ) ) ) ) ) ) ) ).
fof(d15_modal_1, axiom, k17_modal_1=k8_funcop_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k2_trees_1(k5_numbers), k1_domain_1(k4_ordinal1, k4_ordinal1, k5_numbers, k5_numbers))).
fof(t36_modal_1, axiom,  (! [A] :  (m1_subset_1(A, k6_modal_1) =>  ~ ( (k4_card_1(k9_xtuple_0(A))=1 &  ( ~ (A=k17_modal_1)  &  (! [B] :  (m1_subset_1(B, k3_modal_1) =>  ~ (A=k16_modal_1(B)) ) ) ) ) ) ) ) ).
fof(t37_modal_1, axiom,  (! [A] :  (m1_subset_1(A, k6_modal_1) =>  ~ ( (r1_xxreal_0(2, k4_card_1(k9_xtuple_0(A))) &  ( (! [B] :  (m1_subset_1(B, k6_modal_1) =>  ( ~ (A=k10_modal_1(B))  &  ~ (A=k11_modal_1(B)) ) ) )  &  (! [B] :  (m1_subset_1(B, k6_modal_1) =>  (! [C] :  (m1_subset_1(C, k6_modal_1) =>  ~ (A=k12_modal_1(B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t38_modal_1, axiom,  (! [A] :  (m1_subset_1(A, k6_modal_1) =>  ~ (r1_xxreal_0(k4_card_1(k9_xtuple_0(k10_modal_1(A))), k4_card_1(k9_xtuple_0(A)))) ) ) ).
fof(t39_modal_1, axiom,  (! [A] :  (m1_subset_1(A, k6_modal_1) =>  ~ (r1_xxreal_0(k4_card_1(k9_xtuple_0(k11_modal_1(A))), k4_card_1(k9_xtuple_0(A)))) ) ) ).
fof(t40_modal_1, axiom,  (! [A] :  (m1_subset_1(A, k6_modal_1) =>  (! [B] :  (m1_subset_1(B, k6_modal_1) =>  ( ~ (r1_xxreal_0(k4_card_1(k9_xtuple_0(k12_modal_1(A, B))), k4_card_1(k9_xtuple_0(A))))  &  ~ (r1_xxreal_0(k4_card_1(k9_xtuple_0(k12_modal_1(A, B))), k4_card_1(k9_xtuple_0(B)))) ) ) ) ) ) ).
fof(d16_modal_1, axiom,  (! [A] :  (m1_subset_1(A, k6_modal_1) =>  (v1_modal_1(A) <=>  (? [B] :  (m1_subset_1(B, k3_modal_1) & A=k16_modal_1(B)) ) ) ) ) ).
fof(d17_modal_1, axiom,  (! [A] :  (m1_subset_1(A, k6_modal_1) =>  (v2_modal_1(A) <=>  (? [B] :  (m1_subset_1(B, k6_modal_1) & A=k10_modal_1(B)) ) ) ) ) ).
fof(d18_modal_1, axiom,  (! [A] :  (m1_subset_1(A, k6_modal_1) =>  (v3_modal_1(A) <=>  (? [B] :  (m1_subset_1(B, k6_modal_1) & A=k11_modal_1(B)) ) ) ) ) ).
fof(d19_modal_1, axiom,  (! [A] :  (m1_subset_1(A, k6_modal_1) =>  (v4_modal_1(A) <=>  (? [B] :  (m1_subset_1(B, k6_modal_1) &  (? [C] :  (m1_subset_1(C, k6_modal_1) & A=k12_modal_1(B, C)) ) ) ) ) ) ) ).
fof(t41_modal_1, axiom,  (! [A] :  (m1_subset_1(A, k6_modal_1) =>  ~ ( ( ~ (A=k17_modal_1)  &  ( ~ ( (v1_modal_1(A) & m1_subset_1(A, k6_modal_1)) )  &  ( ~ ( (v2_modal_1(A) & m1_subset_1(A, k6_modal_1)) )  &  ( ~ ( (v3_modal_1(A) & m1_subset_1(A, k6_modal_1)) )  &  ~ ( (v4_modal_1(A) & m1_subset_1(A, k6_modal_1)) ) ) ) ) ) ) ) ) ).
fof(t42_modal_1, axiom,  (! [A] :  (m1_subset_1(A, k6_modal_1) =>  ~ ( ( ~ (A=k17_modal_1)  &  ( (! [B] :  (m1_subset_1(B, k3_modal_1) =>  ~ (A=k16_modal_1(B)) ) )  &  ( (! [B] :  (m1_subset_1(B, k6_modal_1) =>  ~ (A=k10_modal_1(B)) ) )  &  ( (! [B] :  (m1_subset_1(B, k6_modal_1) =>  ~ (A=k11_modal_1(B)) ) )  &  (! [B] :  (m1_subset_1(B, k6_modal_1) =>  (! [C] :  (m1_subset_1(C, k6_modal_1) =>  ~ (A=k12_modal_1(B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_modal_1, axiom,  (! [A] :  (m1_subset_1(A, k3_modal_1) =>  (! [B] :  (m1_subset_1(B, k6_modal_1) =>  (! [C] :  (m1_subset_1(C, k6_modal_1) =>  ( ~ (k16_modal_1(A)=k10_modal_1(B))  &  ( ~ (k16_modal_1(A)=k11_modal_1(B))  &  ~ (k16_modal_1(A)=k12_modal_1(B, C)) ) ) ) ) ) ) ) ) ).
fof(t44_modal_1, axiom,  (! [A] :  (m1_subset_1(A, k6_modal_1) =>  (! [B] :  (m1_subset_1(B, k6_modal_1) =>  (! [C] :  (m1_subset_1(C, k6_modal_1) =>  ( ~ (k10_modal_1(A)=k11_modal_1(B))  &  ~ (k10_modal_1(A)=k12_modal_1(B, C)) ) ) ) ) ) ) ) ).
fof(t45_modal_1, axiom,  (! [A] :  (m1_subset_1(A, k6_modal_1) =>  (! [B] :  (m1_subset_1(B, k6_modal_1) =>  (! [C] :  (m1_subset_1(C, k6_modal_1) =>  ~ (k11_modal_1(A)=k12_modal_1(B, C)) ) ) ) ) ) ) ).
fof(t46_modal_1, axiom,  (! [A] :  (m1_subset_1(A, k3_modal_1) =>  (! [B] :  (m1_subset_1(B, k6_modal_1) =>  (! [C] :  (m1_subset_1(C, k6_modal_1) =>  ( ~ (k17_modal_1=k16_modal_1(A))  &  ( ~ (k17_modal_1=k10_modal_1(B))  &  ( ~ (k17_modal_1=k11_modal_1(B))  &  ~ (k17_modal_1=k12_modal_1(B, C)) ) ) ) ) ) ) ) ) ) ).
fof(s1_modal_1, axiom,  ( (p1_s1_modal_1(k17_modal_1) &  ( (! [A] :  (m1_subset_1(A, k3_modal_1) => p1_s1_modal_1(k16_modal_1(A))) )  &  ( (! [A] :  (m1_subset_1(A, k6_modal_1) =>  (p1_s1_modal_1(A) => p1_s1_modal_1(k10_modal_1(A))) ) )  &  ( (! [A] :  (m1_subset_1(A, k6_modal_1) =>  (p1_s1_modal_1(A) => p1_s1_modal_1(k11_modal_1(A))) ) )  &  (! [A] :  (m1_subset_1(A, k6_modal_1) =>  (! [B] :  (m1_subset_1(B, k6_modal_1) =>  ( (p1_s1_modal_1(A) & p1_s1_modal_1(B))  => p1_s1_modal_1(k12_modal_1(A, B))) ) ) ) ) ) ) ) )  =>  (! [A] :  (m1_subset_1(A, k6_modal_1) => p1_s1_modal_1(A)) ) ) ).
fof(s2_modal_1, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k6_modal_1, f1_s2_modal_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k6_modal_1, f1_s2_modal_1)))) )  &  (k3_funct_2(k6_modal_1, f1_s2_modal_1, A, k17_modal_1)=f2_s2_modal_1 &  ( (! [B] :  (m1_subset_1(B, k3_modal_1) => k3_funct_2(k6_modal_1, f1_s2_modal_1, A, k16_modal_1(B))=f3_s2_modal_1(B)) )  &  ( (! [B] :  (m1_subset_1(B, k6_modal_1) => k3_funct_2(k6_modal_1, f1_s2_modal_1, A, k10_modal_1(B))=f4_s2_modal_1(k3_funct_2(k6_modal_1, f1_s2_modal_1, A, B))) )  &  ( (! [B] :  (m1_subset_1(B, k6_modal_1) => k3_funct_2(k6_modal_1, f1_s2_modal_1, A, k11_modal_1(B))=f5_s2_modal_1(k3_funct_2(k6_modal_1, f1_s2_modal_1, A, B))) )  &  (! [B] :  (m1_subset_1(B, k6_modal_1) =>  (! [C] :  (m1_subset_1(C, k6_modal_1) => k3_funct_2(k6_modal_1, f1_s2_modal_1, A, k12_modal_1(B, C))=f6_s2_modal_1(k3_funct_2(k6_modal_1, f1_s2_modal_1, A, B), k3_funct_2(k6_modal_1, f1_s2_modal_1, A, C))) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_modal_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_trees_1(A))  => m1_trees_1(k1_modal_1(A), A)) ) ).
fof(dt_k2_modal_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v3_trees_2(B)) ) ) )  => m1_subset_1(k2_modal_1(A, B), A)) ) ).
fof(dt_k5_modal_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v1_trees_1(A)) )  & m1_subset_1(B, A))  => v7_ordinal1(k5_modal_1(A, B))) ) ).
fof(redefinition_k5_modal_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v1_trees_1(A)) )  & m1_subset_1(B, A))  => k5_modal_1(A, B)=k8_trees_2(A, B)) ) ).
fof(dt_k6_modal_1, axiom, m1_trees_3(k6_modal_1, k2_zfmisc_1(k4_ordinal1, k4_ordinal1))).
fof(dt_k7_modal_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k6_modal_1) & m1_subset_1(B, k9_xtuple_0(A)))  => m1_subset_1(k7_modal_1(A, B), k6_modal_1)) ) ).
fof(redefinition_k7_modal_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k6_modal_1) & m1_subset_1(B, k9_xtuple_0(A)))  => k7_modal_1(A, B)=k5_trees_2(A, B)) ) ).
fof(dt_k8_modal_1, axiom,  (! [A] :  (m1_subset_1(A, k4_modal_1) => v7_ordinal1(k8_modal_1(A))) ) ).
fof(dt_k9_modal_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v3_trees_2(B)) ) )  &  ( (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v1_funct_1(C) & v3_trees_2(C)) ) )  & m1_finseq_1(D, k4_ordinal1)) ) )  =>  (v1_relat_1(k9_modal_1(A, B, C, D)) &  (v5_relat_1(k9_modal_1(A, B, C, D), A) &  (v1_funct_1(k9_modal_1(A, B, C, D)) & v3_trees_2(k9_modal_1(A, B, C, D))) ) ) ) ) ).
fof(dt_k10_modal_1, axiom,  (! [A] :  (m1_subset_1(A, k6_modal_1) => m1_subset_1(k10_modal_1(A), k6_modal_1)) ) ).
fof(dt_k11_modal_1, axiom,  (! [A] :  (m1_subset_1(A, k6_modal_1) => m1_subset_1(k11_modal_1(A), k6_modal_1)) ) ).
fof(dt_k12_modal_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k6_modal_1) & m1_subset_1(B, k6_modal_1))  => m1_subset_1(k12_modal_1(A, B), k6_modal_1)) ) ).
fof(dt_k13_modal_1, axiom,  (! [A] :  (m1_subset_1(A, k6_modal_1) => m1_subset_1(k13_modal_1(A), k6_modal_1)) ) ).
fof(dt_k14_modal_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k6_modal_1) & m1_subset_1(B, k6_modal_1))  => m1_subset_1(k14_modal_1(A, B), k6_modal_1)) ) ).
fof(dt_k15_modal_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k6_modal_1) & m1_subset_1(B, k6_modal_1))  => m1_subset_1(k15_modal_1(A, B), k6_modal_1)) ) ).
fof(dt_k16_modal_1, axiom,  (! [A] :  (m1_subset_1(A, k3_modal_1) => m1_subset_1(k16_modal_1(A), k6_modal_1)) ) ).
fof(dt_k17_modal_1, axiom, m1_subset_1(k17_modal_1, k6_modal_1)).
fof(dt_f1_s2_modal_1, axiom,  ~ (v1_xboole_0(f1_s2_modal_1)) ).
fof(dt_f2_s2_modal_1, axiom, m1_subset_1(f2_s2_modal_1, f1_s2_modal_1)).
fof(dt_f3_s2_modal_1, axiom,  (! [A] : m1_subset_1(f3_s2_modal_1(A), f1_s2_modal_1)) ).
fof(dt_f4_s2_modal_1, axiom,  (! [A] : m1_subset_1(f4_s2_modal_1(A), f1_s2_modal_1)) ).
fof(dt_f5_s2_modal_1, axiom,  (! [A] : m1_subset_1(f5_s2_modal_1(A), f1_s2_modal_1)) ).
fof(dt_f6_s2_modal_1, axiom,  (! [A, B] : m1_subset_1(f6_s2_modal_1(A, B), f1_s2_modal_1)) ).
fof(t20_modal_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_trees_1(A))  =>  (! [B] :  (m1_trees_1(B, A) =>  ( ~ (B=k1_modal_1(A))  =>  (r2_wellord2(k4_trees_1(A, B), a_2_0_modal_1(A, B)) &  ~ (r2_tarski(k1_modal_1(A), a_2_0_modal_1(A, B))) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_modal_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  & v1_trees_1(B))  & m1_trees_1(C, B))  =>  (r2_hidden(A, a_2_0_modal_1(B, C)) <=>  (? [D] :  (m2_finseq_2(D, k4_ordinal1, k3_finseq_2(k4_ordinal1)) &  (A=k8_finseq_1(k4_ordinal1, C, D) & r2_tarski(k8_finseq_1(k4_ordinal1, C, D), B)) ) ) ) ) ) ).
fof(rc1_modcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  & m1_modcat_1(B, A))  =>  (? [C] :  (m1_subset_1(C, B) &  ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v7_vectsp_1(C, A) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) & v11_vectsp_1(C, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_modcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  & m3_modcat_1(B, A))  =>  (? [C] :  (m1_subset_1(C, B) &  (v2_mod_2(C, A) & v3_mod_2(C, A)) ) ) ) ) ).
fof(fc1_modcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  ~ (v1_xboole_0(k2_modcat_1(A, B))) ) ) ).
fof(fc2_modcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k11_modcat_1(A, B)))  &  ( ~ (v11_struct_0(k11_modcat_1(A, B)))  & v1_cat_1(k11_modcat_1(A, B))) ) ) ) ).
fof(cc1_modcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k4_modcat_1(B, k3_modcat_1(A, B))) => v2_mod_2(C, B)) ) ) ) ).
fof(fc3_modcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (v1_cat_1(k11_modcat_1(A, B)) &  (v2_cat_1(k11_modcat_1(A, B)) &  (v3_cat_1(k11_modcat_1(A, B)) &  (v4_cat_1(k11_modcat_1(A, B)) & v5_cat_1(k11_modcat_1(A, B))) ) ) ) ) ) ).
fof(d1_modcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (m1_modcat_1(B, A) <=>  (! [C] :  (m1_subset_1(C, B) =>  ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v7_vectsp_1(C, A) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_modcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (m3_modcat_1(B, A) <=>  (! [C] :  (m1_subset_1(C, B) =>  (v2_mod_2(C, A) &  (v3_mod_2(C, A) & l1_mod_2(C, A)) ) ) ) ) ) ) ) ) ).
fof(t1_modcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v2_mod_2(B, A) &  (v3_mod_2(B, A) & l1_mod_2(B, A)) )  => m3_modcat_1(k1_tarski(B), A)) ) ) ) ).
fof(d3_modcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m3_modcat_1(D, A) =>  (m5_modcat_1(D, A, B, C) <=>  (! [E] :  (m4_modcat_1(E, A, D) =>  (v2_mod_2(E, A) & m1_mod_2(E, A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_modcat_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, B) &  (v9_vectsp_1(C, B) &  (v10_vectsp_1(C, B) &  (v11_vectsp_1(C, B) & l1_vectsp_1(C, B)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v8_vectsp_1(D, B) &  (v9_vectsp_1(D, B) &  (v10_vectsp_1(D, B) &  (v11_vectsp_1(D, B) & l1_vectsp_1(D, B)) ) ) ) ) ) ) ) )  =>  (m5_modcat_1(A, B, C, D) <=>  (! [E] :  (m1_subset_1(E, A) =>  (v2_mod_2(E, B) & m1_mod_2(E, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_modcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v2_mod_2(D, A) & m1_mod_2(D, A, B, C))  => m5_modcat_1(k1_tarski(D), A, B, C)) ) ) ) ) ) ) ) ).
fof(d4_modcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m5_modcat_1(D, A, B, C) =>  (D=k1_modcat_1(A, B, C) <=>  (! [E] :  (r2_hidden(E, D) <=>  (v2_mod_2(E, A) & m1_mod_2(E, A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_modcat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) )  =>  (r1_modcat_1(A, B, C) <=>  (? [D] :  (? [E] :  (A=k4_tarski(D, E) &  (? [F] :  ( ( ~ (v2_struct_0(F))  &  (v13_algstr_0(F) &  (v2_rlvect_1(F) &  (v3_rlvect_1(F) &  (v4_rlvect_1(F) &  (v7_vectsp_1(F, C) &  (v8_vectsp_1(F, C) &  (v9_vectsp_1(F, C) &  (v10_vectsp_1(F, C) &  (v11_vectsp_1(F, C) & l1_vectsp_1(F, C)) ) ) ) ) ) ) ) ) )  &  (B=F &  (D=g2_algstr_0(u1_struct_0(F), u1_algstr_0(F), u2_struct_0(F)) & E=u1_vectsp_1(C, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_modcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  (! [D] :  ( (r1_modcat_1(B, C, A) & r1_modcat_1(B, D, A))  => C=D) ) ) ) ) ) ).
fof(t6_modcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  => r2_tarski(k1_mod_2(B), k2_modcat_1(A, B))) ) ) ) ).
fof(t7_modcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k2_modcat_1(A, B)) =>  ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v7_vectsp_1(C, B) &  (v8_vectsp_1(C, B) &  (v9_vectsp_1(C, B) &  (v10_vectsp_1(C, B) &  (v11_vectsp_1(C, B) & l1_vectsp_1(C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_modcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_modcat_1(B, A) =>  (! [C] :  (m3_modcat_1(C, A) =>  (C=k4_modcat_1(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (? [E] :  ( (v7_vectsp_1(E, A) & m2_modcat_1(E, A, B))  &  (? [F] :  ( (v7_vectsp_1(F, A) & m2_modcat_1(F, A, B))  &  (v2_mod_2(D, A) & m1_mod_2(D, A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_modcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_modcat_1(B, A) =>  (! [C] :  (m4_modcat_1(C, A, k4_modcat_1(A, B)) => k5_modcat_1(A, B, C)=k2_mod_2(A, C)) ) ) ) ) ) ).
fof(d9_modcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_modcat_1(B, A) =>  (! [C] :  (m4_modcat_1(C, A, k4_modcat_1(A, B)) => k6_modcat_1(A, B, C)=k3_mod_2(A, C)) ) ) ) ) ) ).
fof(d10_modcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_modcat_1(B, A) =>  (! [C] :  (m2_modcat_1(C, A, B) => k7_modcat_1(A, B, C)=k6_mod_2(A, C)) ) ) ) ) ) ).
fof(d11_modcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_modcat_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_modcat_1(A, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_modcat_1(A, B), B)))) )  =>  (C=k8_modcat_1(A, B) <=>  (! [D] :  (m4_modcat_1(D, A, k4_modcat_1(A, B)) => k3_funct_2(k4_modcat_1(A, B), B, C, D)=k5_modcat_1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d12_modcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_modcat_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_modcat_1(A, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_modcat_1(A, B), B)))) )  =>  (C=k9_modcat_1(A, B) <=>  (! [D] :  (m4_modcat_1(D, A, k4_modcat_1(A, B)) => k3_funct_2(k4_modcat_1(A, B), B, C, D)=k6_modcat_1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t8_modcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_modcat_1(B, A) =>  (! [C] :  (m4_modcat_1(C, A, k4_modcat_1(A, B)) =>  (! [D] :  (m4_modcat_1(D, A, k4_modcat_1(A, B)) =>  ~ ( (k5_modcat_1(A, B, C)=k6_modcat_1(A, B, D) &  (! [E] :  ( (v7_vectsp_1(E, A) & m2_modcat_1(E, A, B))  =>  (! [F] :  ( (v7_vectsp_1(F, A) & m2_modcat_1(F, A, B))  =>  (! [G] :  ( (v7_vectsp_1(G, A) & m2_modcat_1(G, A, B))  =>  ~ ( (m1_mod_2(C, A, F, G) & m1_mod_2(D, A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_modcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_modcat_1(B, A) =>  (! [C] :  (m4_modcat_1(C, A, k4_modcat_1(A, B)) =>  (! [D] :  (m4_modcat_1(D, A, k4_modcat_1(A, B)) =>  (k5_modcat_1(A, B, C)=k6_modcat_1(A, B, D) => r2_tarski(k8_mod_2(A, C, D), k4_modcat_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(t10_modcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_modcat_1(B, A) =>  (! [C] :  (m4_modcat_1(C, A, k4_modcat_1(A, B)) =>  (! [D] :  (m4_modcat_1(D, A, k4_modcat_1(A, B)) =>  (k2_mod_2(A, C)=k3_mod_2(A, D) => r2_tarski(k8_mod_2(A, C, D), k4_modcat_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(d14_modcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_modcat_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_modcat_1(A, B), k4_modcat_1(A, B)), k4_modcat_1(A, B)))))  =>  (C=k10_modcat_1(A, B) <=>  ( (! [D] :  (m4_modcat_1(D, A, k4_modcat_1(A, B)) =>  (! [E] :  (m4_modcat_1(E, A, k4_modcat_1(A, B)) =>  (r2_hidden(k4_tarski(D, E), k1_relset_1(k2_zfmisc_1(k4_modcat_1(A, B), k4_modcat_1(A, B)), C)) <=> k5_modcat_1(A, B, D)=k6_modcat_1(A, B, E)) ) ) ) )  &  (! [D] :  (m4_modcat_1(D, A, k4_modcat_1(A, B)) =>  (! [E] :  (m4_modcat_1(E, A, k4_modcat_1(A, B)) =>  (r2_hidden(k4_tarski(D, E), k1_relset_1(k2_zfmisc_1(k4_modcat_1(A, B), k4_modcat_1(A, B)), C)) => k1_binop_1(C, D, E)=k8_mod_2(A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_modcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_modcat_1(B, A) =>  (! [C] :  (m4_modcat_1(C, A, k4_modcat_1(A, B)) =>  (! [D] :  (m4_modcat_1(D, A, k4_modcat_1(A, B)) =>  (r2_hidden(k4_tarski(C, D), k1_relset_1(k2_zfmisc_1(k4_modcat_1(A, B), k4_modcat_1(A, B)), k10_modcat_1(A, B))) <=> k2_mod_2(A, C)=k3_mod_2(A, D)) ) ) ) ) ) ) ) ) ).
fof(d15_modcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  => k11_modcat_1(A, B)=g1_cat_1(k3_modcat_1(A, B), k4_modcat_1(B, k3_modcat_1(A, B)), k8_modcat_1(B, k3_modcat_1(A, B)), k9_modcat_1(B, k3_modcat_1(A, B)), k10_modcat_1(B, k3_modcat_1(A, B)))) ) ) ) ).
fof(t12_modcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(k11_modcat_1(A, B))) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(k11_modcat_1(A, B))) =>  (r2_hidden(k4_tarski(D, C), k1_relset_1(k2_zfmisc_1(u4_struct_0(k11_modcat_1(A, B)), u4_struct_0(k11_modcat_1(A, B))), u1_cat_1(k11_modcat_1(A, B)))) <=> k3_graph_1(k11_modcat_1(A, B), D)=k4_graph_1(k11_modcat_1(A, B), C)) ) ) ) ) ) ) ) ) ).
fof(t15_modcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(k11_modcat_1(A, B))) =>  (! [D] :  (m4_modcat_1(D, B, k4_modcat_1(B, k3_modcat_1(A, B))) =>  (C=D =>  (k3_graph_1(k11_modcat_1(A, B), C)=k2_mod_2(B, D) & k4_graph_1(k11_modcat_1(A, B), C)=k3_mod_2(B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t16_modcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(k11_modcat_1(A, B))) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(k11_modcat_1(A, B))) =>  (! [E] :  (m4_modcat_1(E, B, k4_modcat_1(B, k3_modcat_1(A, B))) =>  (! [F] :  (m4_modcat_1(F, B, k4_modcat_1(B, k3_modcat_1(A, B))) =>  ( (C=E & D=F)  =>  ( (k3_graph_1(k11_modcat_1(A, B), D)=k4_graph_1(k11_modcat_1(A, B), C) => k2_mod_2(B, F)=k3_mod_2(B, E))  &  ( (k2_mod_2(B, F)=k3_mod_2(B, E) => k3_graph_1(k11_modcat_1(A, B), D)=k4_graph_1(k11_modcat_1(A, B), C))  &  ( (k3_graph_1(k11_modcat_1(A, B), D)=k4_graph_1(k11_modcat_1(A, B), C) => r2_hidden(k4_tarski(F, E), k1_relset_1(k2_zfmisc_1(k4_modcat_1(B, k3_modcat_1(A, B)), k4_modcat_1(B, k3_modcat_1(A, B))), k10_modcat_1(B, k3_modcat_1(A, B)))))  &  ( (r2_hidden(k4_tarski(F, E), k1_relset_1(k2_zfmisc_1(k4_modcat_1(B, k3_modcat_1(A, B)), k4_modcat_1(B, k3_modcat_1(A, B))), k10_modcat_1(B, k3_modcat_1(A, B)))) => k3_graph_1(k11_modcat_1(A, B), D)=k4_graph_1(k11_modcat_1(A, B), C))  &  ( (k3_graph_1(k11_modcat_1(A, B), D)=k4_graph_1(k11_modcat_1(A, B), C) => k1_cat_1(k11_modcat_1(A, B), C, D)=k8_mod_2(B, F, E))  &  ( (k3_graph_1(k11_modcat_1(A, B), C)=k3_graph_1(k11_modcat_1(A, B), D) => k2_mod_2(B, E)=k2_mod_2(B, F))  &  ( (k2_mod_2(B, E)=k2_mod_2(B, F) => k3_graph_1(k11_modcat_1(A, B), C)=k3_graph_1(k11_modcat_1(A, B), D))  &  ( (k4_graph_1(k11_modcat_1(A, B), C)=k4_graph_1(k11_modcat_1(A, B), D) => k3_mod_2(B, E)=k3_mod_2(B, F))  &  (k3_mod_2(B, E)=k3_mod_2(B, F) => k4_graph_1(k11_modcat_1(A, B), C)=k4_graph_1(k11_modcat_1(A, B), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_m1_modcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_modcat_1(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(existence_m1_modcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (? [B] : m1_modcat_1(B, A)) ) ) ).
fof(dt_m2_modcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  & m1_modcat_1(B, A))  =>  (! [C] :  (m2_modcat_1(C, A, B) =>  ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(existence_m2_modcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  & m1_modcat_1(B, A))  =>  (? [C] : m2_modcat_1(C, A, B)) ) ) ).
fof(redefinition_m2_modcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  & m1_modcat_1(B, A))  =>  (! [C] :  (m2_modcat_1(C, A, B) <=> m1_subset_1(C, B)) ) ) ) ).
fof(dt_m3_modcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m3_modcat_1(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(existence_m3_modcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (? [B] : m3_modcat_1(B, A)) ) ) ).
fof(dt_m4_modcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  & m3_modcat_1(B, A))  =>  (! [C] :  (m4_modcat_1(C, A, B) =>  (v3_mod_2(C, A) & l1_mod_2(C, A)) ) ) ) ) ).
fof(existence_m4_modcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  & m3_modcat_1(B, A))  =>  (? [C] : m4_modcat_1(C, A, B)) ) ) ).
fof(redefinition_m4_modcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  & m3_modcat_1(B, A))  =>  (! [C] :  (m4_modcat_1(C, A, B) <=> m1_subset_1(C, B)) ) ) ) ).
fof(dt_m5_modcat_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m5_modcat_1(D, A, B, C) => m3_modcat_1(D, A)) ) ) ) ).
fof(existence_m5_modcat_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) ) )  =>  (? [D] : m5_modcat_1(D, A, B, C)) ) ) ).
fof(dt_k1_modcat_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) ) )  => m5_modcat_1(k1_modcat_1(A, B, C), A, B, C)) ) ).
fof(dt_m6_modcat_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  & m5_modcat_1(D, A, B, C)) ) )  =>  (! [E] :  (m6_modcat_1(E, A, B, C, D) => m1_mod_2(E, A, B, C)) ) ) ) ).
fof(existence_m6_modcat_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  & m5_modcat_1(D, A, B, C)) ) )  =>  (? [E] : m6_modcat_1(E, A, B, C, D)) ) ) ).
fof(redefinition_m6_modcat_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  & m5_modcat_1(D, A, B, C)) ) )  =>  (! [E] :  (m6_modcat_1(E, A, B, C, D) <=> m1_subset_1(E, D)) ) ) ) ).
fof(dt_k3_modcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  => m1_modcat_1(k3_modcat_1(A, B), B)) ) ).
fof(redefinition_k3_modcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  => k3_modcat_1(A, B)=k2_modcat_1(A, B)) ) ).
fof(dt_k4_modcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  & m1_modcat_1(B, A))  => m3_modcat_1(k4_modcat_1(A, B), A)) ) ).
fof(dt_k5_modcat_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  (m1_modcat_1(B, A) & m1_subset_1(C, k4_modcat_1(A, B))) )  => m2_modcat_1(k5_modcat_1(A, B, C), A, B)) ) ).
fof(dt_k6_modcat_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  (m1_modcat_1(B, A) & m1_subset_1(C, k4_modcat_1(A, B))) )  => m2_modcat_1(k6_modcat_1(A, B, C), A, B)) ) ).
fof(dt_k7_modcat_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  (m1_modcat_1(B, A) & m1_subset_1(C, B)) )  =>  (v2_mod_2(k7_modcat_1(A, B, C), A) & m4_modcat_1(k7_modcat_1(A, B, C), A, k4_modcat_1(A, B))) ) ) ).
fof(dt_k8_modcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  & m1_modcat_1(B, A))  =>  (v1_funct_1(k8_modcat_1(A, B)) &  (v1_funct_2(k8_modcat_1(A, B), k4_modcat_1(A, B), B) & m1_subset_1(k8_modcat_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_modcat_1(A, B), B)))) ) ) ) ).
fof(dt_k9_modcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  & m1_modcat_1(B, A))  =>  (v1_funct_1(k9_modcat_1(A, B)) &  (v1_funct_2(k9_modcat_1(A, B), k4_modcat_1(A, B), B) & m1_subset_1(k9_modcat_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_modcat_1(A, B), B)))) ) ) ) ).
fof(dt_k10_modcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  & m1_modcat_1(B, A))  =>  (v1_funct_1(k10_modcat_1(A, B)) & m1_subset_1(k10_modcat_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_modcat_1(A, B), k4_modcat_1(A, B)), k4_modcat_1(A, B))))) ) ) ).
fof(dt_k11_modcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (v1_cat_1(k11_modcat_1(A, B)) & l1_cat_1(k11_modcat_1(A, B))) ) ) ).
fof(t5_modcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_classes2(B))  =>  (? [C] :  (r2_hidden(C, a_2_0_modcat_1(A, B)) & r1_modcat_1(C, k1_mod_2(A), A)) ) ) ) ) ) ).
fof(d6_modcat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  (C=k2_modcat_1(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (? [E] :  (r2_tarski(E, a_2_1_modcat_1(A, B)) & r1_modcat_1(E, D, B)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_modcat_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(C))  & v1_classes2(C)) )  =>  (r2_hidden(A, a_2_0_modcat_1(B, C)) <=>  (? [D, E] :  ( (m2_grcat_1(D, k17_grcat_1(C)) & m2_funct_2(E, k2_zfmisc_1(u1_struct_0(B), k1_tarski(k1_xboole_0)), k1_tarski(k1_xboole_0), k9_funct_2(k2_zfmisc_1(u1_struct_0(B), k1_tarski(k1_xboole_0)), k1_tarski(k1_xboole_0))))  & A=k4_tarski(D, E)) ) ) ) ) ).
fof(fraenkel_a_2_1_modcat_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  & v1_classes2(B))  &  ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (r2_hidden(A, a_2_1_modcat_1(B, C)) <=>  (? [D, E] :  ( (m2_grcat_1(D, k17_grcat_1(B)) & m2_funct_2(E, k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D)), u1_struct_0(D), k9_funct_2(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D)), u1_struct_0(D))))  & A=k4_tarski(D, E)) ) ) ) ) ).
fof(rc1_modelc_1, axiom,  (? [A] :  (m1_finseq_1(A, k4_ordinal1) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_modelc_1(A)) ) ) ) ) ) ) ).
fof(fc1_modelc_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v1_modelc_1(k6_modelc_1(A))) ) ).
fof(fc2_modelc_1, axiom,  (! [A] :  ( (v1_modelc_1(A) & m1_finseq_1(A, k4_ordinal1))  => v1_modelc_1(k7_modelc_1(A))) ) ).
fof(fc3_modelc_1, axiom,  (! [A] :  ( (v1_modelc_1(A) & m1_finseq_1(A, k4_ordinal1))  => v1_modelc_1(k9_modelc_1(A))) ) ).
fof(fc4_modelc_1, axiom,  (! [A] :  ( (v1_modelc_1(A) & m1_finseq_1(A, k4_ordinal1))  => v1_modelc_1(k10_modelc_1(A))) ) ).
fof(fc5_modelc_1, axiom,  (! [A, B] :  ( ( (v1_modelc_1(A) & m1_finseq_1(A, k4_ordinal1))  &  (v1_modelc_1(B) & m1_finseq_1(B, k4_ordinal1)) )  => v1_modelc_1(k8_modelc_1(A, B))) ) ).
fof(fc6_modelc_1, axiom,  (! [A, B] :  ( ( (v1_modelc_1(A) & m1_finseq_1(A, k4_ordinal1))  &  (v1_modelc_1(B) & m1_finseq_1(B, k4_ordinal1)) )  => v1_modelc_1(k11_modelc_1(A, B))) ) ).
fof(rc2_modelc_1, axiom,  (! [A] :  (? [B] :  (l1_modelc_1(B, A) & v8_modelc_1(B, A)) ) ) ).
fof(rc3_modelc_1, axiom,  (? [A] :  (l2_modelc_1(A) & v9_modelc_1(A)) ) ).
fof(fc7_modelc_1, axiom,  ( ~ (v2_struct_0(k20_modelc_1))  &  (v9_modelc_1(k20_modelc_1) & v10_modelc_1(k20_modelc_1)) ) ).
fof(rc4_modelc_1, axiom,  (? [A] :  (l2_modelc_1(A) &  ~ (v2_struct_0(A)) ) ) ).
fof(rc5_modelc_1, axiom,  (? [A] :  (l2_modelc_1(A) &  ( ~ (v2_struct_0(A))  & v10_modelc_1(A)) ) ) ).
fof(fc8_modelc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_modelc_1(A) & l2_modelc_1(A)) )  =>  ~ (v1_xboole_0(u3_modelc_1(A))) ) ) ).
fof(fc9_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k30_modelc_1(A))) ) ) ).
fof(fc10_modelc_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(A)) &  ( (v1_partfun1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k30_modelc_1(A)))) ) ) )  =>  ~ (v1_xboole_0(u1_struct_0(k47_modelc_1(A, B, C, D)))) ) ) ).
fof(fc11_modelc_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(A)) &  ( (v1_partfun1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k30_modelc_1(A)))) ) ) )  =>  ~ (v1_xboole_0(k30_modelc_1(u1_struct_0(k47_modelc_1(A, B, C, D))))) ) ) ).
fof(fc12_modelc_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A)))) ) )  =>  ( ~ (v2_struct_0(k48_modelc_1(A, B, C)))  & v10_modelc_1(k48_modelc_1(A, B, C))) ) ) ).
fof(d1_modelc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, B) =>  ( (r2_hidden(A, B) => k1_modelc_1(A, B, C)=A)  &  ( ~ (r2_hidden(A, B))  => k1_modelc_1(A, B, C)=C) ) ) ) ) ) ).
fof(d2_modelc_1, axiom,  (! [A] :  ( (r2_hidden(A, k4_ordinal1) => k2_modelc_1(A)=A)  &  ( ~ (r2_hidden(A, k4_ordinal1))  => k2_modelc_1(A)=k5_numbers) ) ) ).
fof(d3_modelc_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  ( (r2_tarski(B, k9_xtuple_0(A)) => k3_modelc_1(A, B, C)=k1_funct_1(A, B))  &  ( ~ (r2_tarski(B, k9_xtuple_0(A)))  => k3_modelc_1(A, B, C)=C) ) ) ) ) ) ).
fof(d4_modelc_1, axiom,  (! [A] :  ( (v1_xboolean(A) => k4_modelc_1(A)=A)  &  ( ~ (v1_xboolean(A))  => k4_modelc_1(A)=k6_margrel1) ) ) ).
fof(d5_modelc_1, axiom,  (! [A] :  (! [B] :  ( (r2_hidden(B, k1_zfmisc_1(A)) => k5_modelc_1(A, B)=B)  &  ( ~ (r2_hidden(B, k1_zfmisc_1(A)))  => k5_modelc_1(A, B)=k1_xboole_0) ) ) ) ).
fof(d6_modelc_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => k6_modelc_1(A)=k12_finseq_1(k4_ordinal1, k1_nat_1(5, A))) ) ).
fof(d7_modelc_1, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) => k7_modelc_1(A)=k8_finseq_1(k4_ordinal1, k12_finseq_1(k4_ordinal1, k5_numbers), A)) ) ).
fof(d8_modelc_1, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) => k8_modelc_1(A, B)=k8_finseq_1(k4_ordinal1, k8_finseq_1(k4_ordinal1, k12_finseq_1(k4_ordinal1, 1), A), B)) ) ) ) ).
fof(d9_modelc_1, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) => k9_modelc_1(A)=k8_finseq_1(k4_ordinal1, k12_finseq_1(k4_ordinal1, 2), A)) ) ).
fof(d10_modelc_1, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) => k10_modelc_1(A)=k8_finseq_1(k4_ordinal1, k12_finseq_1(k4_ordinal1, 3), A)) ) ).
fof(d11_modelc_1, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) => k11_modelc_1(A, B)=k8_finseq_1(k4_ordinal1, k8_finseq_1(k4_ordinal1, k12_finseq_1(k4_ordinal1, 4), A), B)) ) ) ) ).
fof(d12_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (A=k12_modelc_1 <=>  ( (! [B] :  (r2_tarski(B, A) => m2_finseq_1(B, k4_ordinal1)) )  &  ( (! [B] :  (m1_subset_1(B, k4_ordinal1) => r2_tarski(k6_modelc_1(B), A)) )  &  ( (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (r2_tarski(B, A) => r2_tarski(k7_modelc_1(B), A)) ) )  &  ( (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  ( (r2_tarski(B, A) & r2_tarski(C, A))  => r2_tarski(k8_modelc_1(B, C), A)) ) ) ) )  &  ( (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (r2_tarski(B, A) => r2_tarski(k9_modelc_1(B), A)) ) )  &  ( (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (r2_tarski(B, A) => r2_tarski(k10_modelc_1(B), A)) ) )  &  ( (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  ( (r2_tarski(B, A) & r2_tarski(C, A))  => r2_tarski(k11_modelc_1(B, C), A)) ) ) ) )  &  (! [B] :  ( ~ (v1_xboole_0(B))  =>  ( ( (! [C] :  (r2_tarski(C, B) => m2_finseq_1(C, k4_ordinal1)) )  &  ( (! [C] :  (m1_subset_1(C, k4_ordinal1) => r2_tarski(k6_modelc_1(C), B)) )  &  ( (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (r2_tarski(C, B) => r2_tarski(k7_modelc_1(C), B)) ) )  &  ( (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k8_modelc_1(C, D), B)) ) ) ) )  &  ( (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (r2_tarski(C, B) => r2_tarski(k9_modelc_1(C), B)) ) )  &  ( (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (r2_tarski(C, B) => r2_tarski(k10_modelc_1(C), B)) ) )  &  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k11_modelc_1(C, D), B)) ) ) ) ) ) ) ) ) ) )  => r1_tarski(A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_modelc_1, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  (v1_modelc_1(A) <=> m1_subset_1(A, k12_modelc_1)) ) ) ).
fof(t1_modelc_1, axiom,  (! [A] :  ( (v1_modelc_1(A) & m2_finseq_1(A, k4_ordinal1))  <=> r2_tarski(A, k12_modelc_1)) ) ).
fof(d14_modelc_1, axiom,  (! [A] :  ( (v1_modelc_1(A) & m2_finseq_1(A, k4_ordinal1))  =>  (v2_modelc_1(A) <=>  (? [B] :  (m1_subset_1(B, k4_ordinal1) & A=k6_modelc_1(B)) ) ) ) ) ).
fof(d15_modelc_1, axiom,  (! [A] :  ( (v1_modelc_1(A) & m2_finseq_1(A, k4_ordinal1))  =>  (v3_modelc_1(A) <=>  (? [B] :  ( (v1_modelc_1(B) & m2_finseq_1(B, k4_ordinal1))  & A=k7_modelc_1(B)) ) ) ) ) ).
fof(d16_modelc_1, axiom,  (! [A] :  ( (v1_modelc_1(A) & m2_finseq_1(A, k4_ordinal1))  =>  (v4_modelc_1(A) <=>  (? [B] :  ( (v1_modelc_1(B) & m2_finseq_1(B, k4_ordinal1))  &  (? [C] :  ( (v1_modelc_1(C) & m2_finseq_1(C, k4_ordinal1))  & A=k8_modelc_1(B, C)) ) ) ) ) ) ) ).
fof(d17_modelc_1, axiom,  (! [A] :  ( (v1_modelc_1(A) & m2_finseq_1(A, k4_ordinal1))  =>  (v5_modelc_1(A) <=>  (? [B] :  ( (v1_modelc_1(B) & m2_finseq_1(B, k4_ordinal1))  & A=k9_modelc_1(B)) ) ) ) ) ).
fof(d18_modelc_1, axiom,  (! [A] :  ( (v1_modelc_1(A) & m2_finseq_1(A, k4_ordinal1))  =>  (v6_modelc_1(A) <=>  (? [B] :  ( (v1_modelc_1(B) & m2_finseq_1(B, k4_ordinal1))  & A=k10_modelc_1(B)) ) ) ) ) ).
fof(d19_modelc_1, axiom,  (! [A] :  ( (v1_modelc_1(A) & m2_finseq_1(A, k4_ordinal1))  =>  (v7_modelc_1(A) <=>  (? [B] :  ( (v1_modelc_1(B) & m2_finseq_1(B, k4_ordinal1))  &  (? [C] :  ( (v1_modelc_1(C) & m2_finseq_1(C, k4_ordinal1))  & A=k11_modelc_1(B, C)) ) ) ) ) ) ) ).
fof(d20_modelc_1, axiom,  (! [A] :  ( (v1_modelc_1(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_1(B) & m2_finseq_1(B, k4_ordinal1))  => k13_modelc_1(A, B)=k7_modelc_1(k8_modelc_1(k7_modelc_1(A), k7_modelc_1(B)))) ) ) ) ).
fof(t2_modelc_1, axiom,  (! [A] :  ( (v1_modelc_1(A) & m2_finseq_1(A, k4_ordinal1))  =>  ~ ( ( ~ (v2_modelc_1(A))  &  ( ~ (v3_modelc_1(A))  &  ( ~ (v4_modelc_1(A))  &  ( ~ (v5_modelc_1(A))  &  ( ~ (v6_modelc_1(A))  &  ~ (v7_modelc_1(A)) ) ) ) ) ) ) ) ) ).
fof(d21_modelc_1, axiom,  (! [A] :  ( (v1_modelc_1(A) & m2_finseq_1(A, k4_ordinal1))  =>  ( ~ ( ( ~ (v3_modelc_1(A))  &  ( ~ (v5_modelc_1(A))  &  ~ (v6_modelc_1(A)) ) ) )  =>  (! [B] :  ( (v1_modelc_1(B) & m2_finseq_1(B, k4_ordinal1))  =>  ( (v3_modelc_1(A) =>  (B=k14_modelc_1(A) <=> k7_modelc_1(B)=A) )  &  ( (v5_modelc_1(A) =>  (B=k14_modelc_1(A) <=> k9_modelc_1(B)=A) )  &  ~ ( ( ~ (v3_modelc_1(A))  &  ( ~ (v5_modelc_1(A))  &  ~ ( (B=k14_modelc_1(A) <=> k10_modelc_1(B)=A) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d22_modelc_1, axiom,  (! [A] :  ( (v1_modelc_1(A) & m2_finseq_1(A, k4_ordinal1))  =>  ( (v4_modelc_1(A) | v7_modelc_1(A))  =>  (! [B] :  ( (v1_modelc_1(B) & m2_finseq_1(B, k4_ordinal1))  =>  ( (v4_modelc_1(A) =>  (B=k15_modelc_1(A) <=>  (? [C] :  ( (v1_modelc_1(C) & m2_finseq_1(C, k4_ordinal1))  & k8_modelc_1(B, C)=A) ) ) )  &  ( ~ (v4_modelc_1(A))  =>  (B=k15_modelc_1(A) <=>  (? [C] :  ( (v1_modelc_1(C) & m2_finseq_1(C, k4_ordinal1))  & k11_modelc_1(B, C)=A) ) ) ) ) ) ) ) ) ) ).
fof(d23_modelc_1, axiom,  (! [A] :  ( (v1_modelc_1(A) & m2_finseq_1(A, k4_ordinal1))  =>  ( (v4_modelc_1(A) | v7_modelc_1(A))  =>  (! [B] :  ( (v1_modelc_1(B) & m2_finseq_1(B, k4_ordinal1))  =>  ( (v4_modelc_1(A) =>  (B=k16_modelc_1(A) <=>  (? [C] :  ( (v1_modelc_1(C) & m2_finseq_1(C, k4_ordinal1))  & k8_modelc_1(C, B)=A) ) ) )  &  ( ~ (v4_modelc_1(A))  =>  (B=k16_modelc_1(A) <=>  (? [C] :  ( (v1_modelc_1(C) & m2_finseq_1(C, k4_ordinal1))  & k11_modelc_1(C, B)=A) ) ) ) ) ) ) ) ) ) ).
fof(d24_modelc_1, axiom,  (! [A] :  ( (r2_hidden(A, k12_modelc_1) => k17_modelc_1(A)=A)  &  ( ~ (r2_hidden(A, k12_modelc_1))  => k17_modelc_1(A)=k6_modelc_1(k5_numbers)) ) ) ).
fof(d26_modelc_1, axiom,  (! [A] :  (l2_modelc_1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k18_modelc_1, u3_modelc_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1, u3_modelc_1(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k12_modelc_1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k12_modelc_1, u1_struct_0(A))))) )  =>  (r1_modelc_1(A, B, C) <=>  (! [D] :  ( (v1_modelc_1(D) & m2_finseq_1(D, k4_ordinal1))  =>  ( (v2_modelc_1(D) => k1_funct_1(C, D)=k1_funct_1(B, D))  &  ( (v3_modelc_1(D) => k1_funct_1(C, D)=k1_funct_1(u1_robbins1(A), k1_funct_1(C, k14_modelc_1(D))))  &  ( (v4_modelc_1(D) => k1_funct_1(C, D)=k1_binop_1(u1_lattices(A), k1_funct_1(C, k15_modelc_1(D)), k1_funct_1(C, k16_modelc_1(D))))  &  ( (v5_modelc_1(D) => k1_funct_1(C, D)=k1_funct_1(u4_modelc_1(A), k1_funct_1(C, k14_modelc_1(D))))  &  ( (v6_modelc_1(D) => k1_funct_1(C, D)=k1_funct_1(u5_modelc_1(A), k1_funct_1(C, k14_modelc_1(D))))  &  (v7_modelc_1(D) => k1_funct_1(C, D)=k1_binop_1(u6_modelc_1(A), k1_funct_1(C, k15_modelc_1(D)), k1_funct_1(C, k16_modelc_1(D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d27_modelc_1, axiom,  (! [A] :  (l2_modelc_1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k18_modelc_1, u3_modelc_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1, u3_modelc_1(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k12_modelc_1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k12_modelc_1, u1_struct_0(A))))) )  =>  (! [D] :  (v7_ordinal1(D) =>  (r2_modelc_1(A, B, C, D) <=>  (! [E] :  ( (v1_modelc_1(E) & m2_finseq_1(E, k4_ordinal1))  =>  (r1_xxreal_0(k3_finseq_1(E), D) =>  ( (v2_modelc_1(E) => k1_funct_1(C, E)=k1_funct_1(B, E))  &  ( (v3_modelc_1(E) => k1_funct_1(C, E)=k1_funct_1(u1_robbins1(A), k1_funct_1(C, k14_modelc_1(E))))  &  ( (v4_modelc_1(E) => k1_funct_1(C, E)=k1_binop_1(u1_lattices(A), k1_funct_1(C, k15_modelc_1(E)), k1_funct_1(C, k16_modelc_1(E))))  &  ( (v5_modelc_1(E) => k1_funct_1(C, E)=k1_funct_1(u4_modelc_1(A), k1_funct_1(C, k14_modelc_1(E))))  &  ( (v6_modelc_1(E) => k1_funct_1(C, E)=k1_funct_1(u5_modelc_1(A), k1_funct_1(C, k14_modelc_1(E))))  &  (v7_modelc_1(E) => k1_funct_1(C, E)=k1_binop_1(u6_modelc_1(A), k1_funct_1(C, k15_modelc_1(E)), k1_funct_1(C, k16_modelc_1(E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d28_modelc_1, axiom,  (! [A] :  (l2_modelc_1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k18_modelc_1, u3_modelc_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1, u3_modelc_1(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k12_modelc_1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k12_modelc_1, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k12_modelc_1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k12_modelc_1, u1_struct_0(A))))) )  =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( (v1_modelc_1(F) & m2_finseq_1(F, k4_ordinal1))  =>  ( ( ~ (r1_xxreal_0(k3_finseq_1(F), k1_nat_1(E, 1)))  => k19_modelc_1(A, B, C, D, E, F)=k1_funct_1(C, F))  &  ( ( (k3_finseq_1(F)=k1_nat_1(E, 1) & v2_modelc_1(F))  => k19_modelc_1(A, B, C, D, E, F)=k1_funct_1(B, F))  &  ( ( (k3_finseq_1(F)=k1_nat_1(E, 1) & v3_modelc_1(F))  => k19_modelc_1(A, B, C, D, E, F)=k1_funct_1(u1_robbins1(A), k1_funct_1(D, k14_modelc_1(F))))  &  ( ( (k3_finseq_1(F)=k1_nat_1(E, 1) & v4_modelc_1(F))  => k19_modelc_1(A, B, C, D, E, F)=k1_binop_1(u1_lattices(A), k1_funct_1(D, k15_modelc_1(F)), k1_funct_1(D, k16_modelc_1(F))))  &  ( ( (k3_finseq_1(F)=k1_nat_1(E, 1) & v5_modelc_1(F))  => k19_modelc_1(A, B, C, D, E, F)=k1_funct_1(u4_modelc_1(A), k1_funct_1(D, k14_modelc_1(F))))  &  ( ( (k3_finseq_1(F)=k1_nat_1(E, 1) & v6_modelc_1(F))  => k19_modelc_1(A, B, C, D, E, F)=k1_funct_1(u5_modelc_1(A), k1_funct_1(D, k14_modelc_1(F))))  &  ( ( (k3_finseq_1(F)=k1_nat_1(E, 1) & v7_modelc_1(F))  => k19_modelc_1(A, B, C, D, E, F)=k1_binop_1(u6_modelc_1(A), k1_funct_1(D, k15_modelc_1(F)), k1_funct_1(D, k16_modelc_1(F))))  &  ( ( ~ (r1_xxreal_0(k1_nat_1(E, 1), k3_finseq_1(F)))  => k19_modelc_1(A, B, C, D, E, F)=k1_funct_1(D, F))  &  ( (r1_xxreal_0(k3_finseq_1(F), k1_nat_1(E, 1)) & r1_xxreal_0(k1_nat_1(E, 1), k3_finseq_1(F)))  =>  ( (k3_finseq_1(F)=k1_nat_1(E, 1) & v2_modelc_1(F))  |  ( (k3_finseq_1(F)=k1_nat_1(E, 1) & v3_modelc_1(F))  |  ( (k3_finseq_1(F)=k1_nat_1(E, 1) & v4_modelc_1(F))  |  ( (k3_finseq_1(F)=k1_nat_1(E, 1) & v5_modelc_1(F))  |  ( (k3_finseq_1(F)=k1_nat_1(E, 1) & v6_modelc_1(F))  |  ( (k3_finseq_1(F)=k1_nat_1(E, 1) & v7_modelc_1(F))  | k19_modelc_1(A, B, C, D, E, F)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d29_modelc_1, axiom,  (! [A] :  (l2_modelc_1(A) =>  (v10_modelc_1(A) <=>  ~ (v1_xboole_0(u3_modelc_1(A))) ) ) ) ).
fof(d30_modelc_1, axiom, k20_modelc_1=g2_modelc_1(k1_tarski(k5_numbers), k2_subset_1(k1_tarski(k5_numbers)), k9_funct_5, k8_funct_5, k8_funct_5, k8_funct_5, k9_funct_5)).
fof(d32_modelc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_modelc_1(A) & l2_modelc_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (r2_tarski(C, k9_funct_2(k12_modelc_1, u1_struct_0(A))) => k22_modelc_1(A, B, C)=C)  &  ( ~ (r2_tarski(C, k9_funct_2(k12_modelc_1, u1_struct_0(A))))  => k22_modelc_1(A, B, C)=k8_funcop_1(u1_struct_0(A), k12_modelc_1, B)) ) ) ) ) ) ) ).
fof(d33_modelc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_modelc_1(A) & l2_modelc_1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k18_modelc_1, u3_modelc_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1, u3_modelc_1(A))))) )  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (C=k23_modelc_1(A, B) <=>  (! [D] :  (r2_tarski(D, C) <=>  (r2_tarski(D, k1_zfmisc_1(k9_funct_2(k12_modelc_1, u1_struct_0(A)))) &  (? [E] :  (m1_subset_1(E, k4_ordinal1) & D=k21_modelc_1(A, B, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_modelc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_modelc_1(A) & l2_modelc_1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k18_modelc_1, u3_modelc_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1, u3_modelc_1(A))))) )  =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k12_modelc_1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k12_modelc_1, u1_struct_0(A))))) )  & r1_modelc_1(A, B, C)) ) ) ) ) ) ).
fof(t4_modelc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_modelc_1(A) & l2_modelc_1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k18_modelc_1, u3_modelc_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1, u3_modelc_1(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k12_modelc_1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k12_modelc_1, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k12_modelc_1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k12_modelc_1, u1_struct_0(A))))) )  =>  ( (r1_modelc_1(A, B, C) & r1_modelc_1(A, B, D))  => r2_funct_2(k12_modelc_1, u1_struct_0(A), C, D)) ) ) ) ) ) ) ) ) ).
fof(d34_modelc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_modelc_1(A) & l2_modelc_1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k18_modelc_1, u3_modelc_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1, u3_modelc_1(A))))) )  =>  (! [C] :  ( (v1_modelc_1(C) & m2_finseq_1(C, k4_ordinal1))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (D=k24_modelc_1(A, B, C) <=>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k12_modelc_1, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k12_modelc_1, u1_struct_0(A))))) )  &  (r1_modelc_1(A, B, E) & D=k1_funct_1(E, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d35_modelc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_modelc_1(A) & l2_modelc_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k25_modelc_1(A, B)=k3_funct_2(u1_struct_0(A), u1_struct_0(A), u4_modelc_1(A), B)) ) ) ) ).
fof(d36_modelc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_modelc_1(A) & l2_modelc_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k26_modelc_1(A, B)=k3_funct_2(u1_struct_0(A), u1_struct_0(A), u5_modelc_1(A), B)) ) ) ) ).
fof(d37_modelc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_modelc_1(A) & l2_modelc_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k27_modelc_1(A, B, C)=k4_binop_1(u1_struct_0(A), u6_modelc_1(A), B, C)) ) ) ) ) ) ).
fof(d38_modelc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_modelc_1(A) & l2_modelc_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k28_modelc_1(A, B, C)=k3_robbins1(A, k2_lattices(A, k3_robbins1(A, B), k3_robbins1(A, C)))) ) ) ) ) ) ).
fof(t5_modelc_1, axiom,  (! [A] :  ( (v1_modelc_1(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_modelc_1(B) & l2_modelc_1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k18_modelc_1, u3_modelc_1(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1, u3_modelc_1(B))))) )  => k24_modelc_1(B, C, k7_modelc_1(A))=k3_robbins1(B, k24_modelc_1(B, C, A))) ) ) ) ) ) ).
fof(t6_modelc_1, axiom,  (! [A] :  ( (v1_modelc_1(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_1(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v10_modelc_1(C) & l2_modelc_1(C)) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k18_modelc_1, u3_modelc_1(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1, u3_modelc_1(C))))) )  => k24_modelc_1(C, D, k8_modelc_1(A, B))=k2_lattices(C, k24_modelc_1(C, D, A), k24_modelc_1(C, D, B))) ) ) ) ) ) ) ) ).
fof(t7_modelc_1, axiom,  (! [A] :  ( (v1_modelc_1(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_modelc_1(B) & l2_modelc_1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k18_modelc_1, u3_modelc_1(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1, u3_modelc_1(B))))) )  => k24_modelc_1(B, C, k9_modelc_1(A))=k25_modelc_1(B, k24_modelc_1(B, C, A))) ) ) ) ) ) ).
fof(t8_modelc_1, axiom,  (! [A] :  ( (v1_modelc_1(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_modelc_1(B) & l2_modelc_1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k18_modelc_1, u3_modelc_1(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1, u3_modelc_1(B))))) )  => k24_modelc_1(B, C, k10_modelc_1(A))=k26_modelc_1(B, k24_modelc_1(B, C, A))) ) ) ) ) ) ).
fof(t9_modelc_1, axiom,  (! [A] :  ( (v1_modelc_1(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_1(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v10_modelc_1(C) & l2_modelc_1(C)) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k18_modelc_1, u3_modelc_1(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1, u3_modelc_1(C))))) )  => k24_modelc_1(C, D, k11_modelc_1(A, B))=k27_modelc_1(C, k24_modelc_1(C, D, A), k24_modelc_1(C, D, B))) ) ) ) ) ) ) ) ).
fof(t10_modelc_1, axiom,  (! [A] :  ( (v1_modelc_1(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_1(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v10_modelc_1(C) & l2_modelc_1(C)) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k18_modelc_1, u3_modelc_1(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1, u3_modelc_1(C))))) )  => k24_modelc_1(C, D, k13_modelc_1(A, B))=k28_modelc_1(C, k24_modelc_1(C, D, A), k24_modelc_1(C, D, B))) ) ) ) ) ) ) ) ).
fof(d39_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  =>  (m1_modelc_1(C, A, B) <=>  (! [D] :  (v7_ordinal1(D) => r2_hidden(k4_tarski(k1_funct_1(C, D), k3_funct_2(k4_ordinal1, A, C, k1_nat_1(D, 1))), B)) ) ) ) ) ) ) ) ) ).
fof(d40_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k30_modelc_1(A)=k9_funct_2(A, k5_margrel1)) ) ).
fof(d41_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (r2_hidden(B, k30_modelc_1(A)) => k31_modelc_1(A, B)=B)  &  ( ~ (r2_hidden(B, k30_modelc_1(A)))  => k31_modelc_1(A, B)=k8_funcop_1(k5_margrel1, A, k6_margrel1)) ) ) ) ) ).
fof(d42_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (m1_subset_1(C, k30_modelc_1(A)) =>  (C=k32_modelc_1(A, B) <=>  (! [D] :  (r2_tarski(D, A) =>  (k3_xboolean(k4_modelc_1(k1_funct_1(k31_modelc_1(A, B), D)))=k7_margrel1 <=> k1_funct_1(k31_modelc_1(A, C), D)=k7_margrel1) ) ) ) ) ) ) ) ) ).
fof(d43_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k30_modelc_1(A), k30_modelc_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A), k30_modelc_1(A))))) )  =>  (B=k33_modelc_1(A) <=>  (! [C] :  (r2_hidden(C, k30_modelc_1(A)) => k1_funct_1(B, C)=k32_modelc_1(A, C)) ) ) ) ) ) ) ).
fof(d44_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (r2_hidden(D, A) =>  ( (! [E] :  (m1_modelc_1(E, A, B) =>  ~ ( (k3_funct_2(k4_ordinal1, A, E, k5_numbers)=D & k3_funct_2(A, k5_margrel1, C, k3_funct_2(k4_ordinal1, A, E, 1))=k7_margrel1) ) ) )  | k34_modelc_1(A, B, C, D)=k7_margrel1) )  &  ( ~ ( (r2_hidden(D, A) &  (? [E] :  (m1_modelc_1(E, A, B) &  (k3_funct_2(k4_ordinal1, A, E, k5_numbers)=D & k3_funct_2(A, k5_margrel1, C, k3_funct_2(k4_ordinal1, A, E, 1))=k7_margrel1) ) ) ) )  => k34_modelc_1(A, B, C, D)=k6_margrel1) ) ) ) ) ) ) ) ) ).
fof(d45_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  (! [D] :  (m1_subset_1(D, k30_modelc_1(A)) =>  (D=k35_modelc_1(A, B, C) <=>  (! [E] :  (r2_tarski(E, A) =>  (k34_modelc_1(A, B, k31_modelc_1(A, C), E)=k7_margrel1 <=> k1_funct_1(k31_modelc_1(A, D), E)=k7_margrel1) ) ) ) ) ) ) ) ) ) ) ).
fof(d46_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k30_modelc_1(A), k30_modelc_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A), k30_modelc_1(A))))) )  =>  (C=k36_modelc_1(A, B) <=>  (! [D] :  (r2_hidden(D, k30_modelc_1(A)) => k1_funct_1(C, D)=k35_modelc_1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d47_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (r2_tarski(D, A) =>  ( (! [E] :  (m1_modelc_1(E, A, B) =>  ~ ( (k3_funct_2(k4_ordinal1, A, E, k5_numbers)=D &  (! [F] :  (m1_subset_1(F, k4_ordinal1) => k3_funct_2(A, k5_margrel1, C, k3_funct_2(k4_ordinal1, A, E, F))=k7_margrel1) ) ) ) ) )  | k37_modelc_1(A, B, C, D)=k7_margrel1) )  &  ( ~ ( (r2_tarski(D, A) &  (? [E] :  (m1_modelc_1(E, A, B) &  (k3_funct_2(k4_ordinal1, A, E, k5_numbers)=D &  (! [F] :  (m1_subset_1(F, k4_ordinal1) => k3_funct_2(A, k5_margrel1, C, k3_funct_2(k4_ordinal1, A, E, F))=k7_margrel1) ) ) ) ) ) )  => k37_modelc_1(A, B, C, D)=k6_margrel1) ) ) ) ) ) ) ) ) ).
fof(d48_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  (! [D] :  (m1_subset_1(D, k30_modelc_1(A)) =>  (D=k38_modelc_1(A, B, C) <=>  (! [E] :  (r2_tarski(E, A) =>  (k37_modelc_1(A, B, k31_modelc_1(A, C), E)=k7_margrel1 <=> k1_funct_1(k31_modelc_1(A, D), E)=k7_margrel1) ) ) ) ) ) ) ) ) ) ) ).
fof(d49_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k30_modelc_1(A), k30_modelc_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A), k30_modelc_1(A))))) )  =>  (C=k39_modelc_1(A, B) <=>  (! [D] :  (r2_hidden(D, k30_modelc_1(A)) => k1_funct_1(C, D)=k38_modelc_1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d50_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k30_modelc_1(A)) =>  (D=k40_modelc_1(A, B, C) <=>  (! [E] :  (r2_tarski(E, A) =>  (k4_xboolean(k4_modelc_1(k1_funct_1(k31_modelc_1(A, B), E)), k4_modelc_1(k1_funct_1(k31_modelc_1(A, C), E)))=k7_margrel1 <=> k1_funct_1(k31_modelc_1(A, D), E)=k7_margrel1) ) ) ) ) ) ) ) ) ) ).
fof(d51_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k30_modelc_1(A), k30_modelc_1(A)), k30_modelc_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A), k30_modelc_1(A)), k30_modelc_1(A))))) )  =>  (B=k41_modelc_1(A) <=>  (! [C] :  (! [D] :  ( (r2_tarski(C, k30_modelc_1(A)) & r2_tarski(D, k30_modelc_1(A)))  => k1_binop_1(B, C, D)=k40_modelc_1(A, C, D)) ) ) ) ) ) ) ) ).
fof(d52_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [E] :  ( (r2_tarski(E, A) =>  ( (! [F] :  (m1_modelc_1(F, A, B) =>  ~ ( (k3_funct_2(k4_ordinal1, A, F, k5_numbers)=E &  (? [G] :  (m1_subset_1(G, k4_ordinal1) &  ( (! [H] :  (m1_subset_1(H, k4_ordinal1) =>  ( ~ (r1_xxreal_0(G, H))  => k3_funct_2(A, k5_margrel1, C, k3_funct_2(k4_ordinal1, A, F, H))=k7_margrel1) ) )  & k3_funct_2(A, k5_margrel1, D, k3_funct_2(k4_ordinal1, A, F, G))=k7_margrel1) ) ) ) ) ) )  | k42_modelc_1(A, B, C, D, E)=k7_margrel1) )  &  ( ~ ( (r2_tarski(E, A) &  (? [F] :  (m1_modelc_1(F, A, B) &  (k3_funct_2(k4_ordinal1, A, F, k5_numbers)=E &  (? [G] :  (m1_subset_1(G, k4_ordinal1) &  ( (! [H] :  (m1_subset_1(H, k4_ordinal1) =>  ( ~ (r1_xxreal_0(G, H))  => k3_funct_2(A, k5_margrel1, C, k3_funct_2(k4_ordinal1, A, F, H))=k7_margrel1) ) )  & k3_funct_2(A, k5_margrel1, D, k3_funct_2(k4_ordinal1, A, F, G))=k7_margrel1) ) ) ) ) ) ) )  => k42_modelc_1(A, B, C, D, E)=k6_margrel1) ) ) ) ) ) ) ) ) ) ) ).
fof(d53_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  (! [D] :  (! [E] :  (m1_subset_1(E, k30_modelc_1(A)) =>  (E=k43_modelc_1(A, B, C, D) <=>  (! [F] :  (r2_tarski(F, A) =>  (k42_modelc_1(A, B, k31_modelc_1(A, C), k31_modelc_1(A, D), F)=k7_margrel1 <=> k1_funct_1(k31_modelc_1(A, E), F)=k7_margrel1) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d54_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k30_modelc_1(A), k30_modelc_1(A)), k30_modelc_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A), k30_modelc_1(A)), k30_modelc_1(A))))) )  =>  (C=k44_modelc_1(A, B) <=>  (! [D] :  (! [E] :  ( (r2_tarski(D, k30_modelc_1(A)) & r2_tarski(E, k30_modelc_1(A)))  => k1_binop_1(C, D, E)=k43_modelc_1(A, B, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(d55_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [C] :  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) =>  (D=k45_modelc_1(A, B, C) <=>  (! [E] :  (r2_hidden(E, D) <=>  (r2_hidden(E, B) &  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, k5_margrel1) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (F=E & k1_funct_1(F, C)=k7_margrel1) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d56_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_zfmisc_1(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_zfmisc_1(B))))) )  =>  (C=k46_modelc_1(A, B) <=>  (! [D] :  (r2_hidden(D, A) => k1_funct_1(C, D)=k45_modelc_1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d57_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  ( (v1_partfun1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k30_modelc_1(A))))  => k47_modelc_1(A, B, C, D)=g1_modelc_1(D, A, B, C, k46_modelc_1(A, D))) ) ) ) ) ) ) ) ).
fof(d58_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  => k48_modelc_1(A, B, C)=g2_modelc_1(k30_modelc_1(A), C, k41_modelc_1(A), k33_modelc_1(A), k36_modelc_1(A, B), k39_modelc_1(A, B), k44_modelc_1(A, B))) ) ) ) ) ) ).
fof(d59_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k48_modelc_1(A, B, C))) =>  (r3_modelc_1(A, B, C, D, E) <=> k3_funct_2(A, k5_margrel1, k31_modelc_1(A, E), D)=k7_margrel1) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k48_modelc_1(A, B, D))) =>  (r2_tarski(E, D) =>  (r3_modelc_1(A, B, D, C, E) <=> r2_tarski(E, k3_funct_2(A, k1_zfmisc_1(D), k46_modelc_1(A, D), C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k48_modelc_1(A, B, D))) =>  (r3_modelc_1(A, B, D, C, k3_robbins1(k48_modelc_1(A, B, D), E)) <=>  ~ (r3_modelc_1(A, B, D, C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k48_modelc_1(A, B, D))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k48_modelc_1(A, B, D))) =>  (r3_modelc_1(A, B, D, C, k2_lattices(k48_modelc_1(A, B, D), E, F)) <=>  (r3_modelc_1(A, B, D, C, E) & r3_modelc_1(A, B, D, C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k48_modelc_1(A, B, D))) =>  (r3_modelc_1(A, B, D, C, k25_modelc_1(k48_modelc_1(A, B, D), E)) <=>  (? [F] :  (m1_modelc_1(F, A, B) &  (k3_funct_2(k4_ordinal1, A, F, k5_numbers)=C & r3_modelc_1(A, B, D, k3_funct_2(k4_ordinal1, A, F, 1), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k48_modelc_1(A, B, D))) =>  (r3_modelc_1(A, B, D, C, k26_modelc_1(k48_modelc_1(A, B, D), E)) <=>  (? [F] :  (m1_modelc_1(F, A, B) &  (k3_funct_2(k4_ordinal1, A, F, k5_numbers)=C &  (! [G] :  (m1_subset_1(G, k4_ordinal1) => r3_modelc_1(A, B, D, k3_funct_2(k4_ordinal1, A, F, G), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k48_modelc_1(A, B, D))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k48_modelc_1(A, B, D))) =>  (r3_modelc_1(A, B, D, C, k27_modelc_1(k48_modelc_1(A, B, D), E, F)) <=>  (? [G] :  (m1_modelc_1(G, A, B) &  (k3_funct_2(k4_ordinal1, A, G, k5_numbers)=C &  (? [H] :  (m1_subset_1(H, k4_ordinal1) &  ( (! [I] :  (m1_subset_1(I, k4_ordinal1) =>  ( ~ (r1_xxreal_0(H, I))  => r3_modelc_1(A, B, D, k3_funct_2(k4_ordinal1, A, G, I), E)) ) )  & r3_modelc_1(A, B, D, k3_funct_2(k4_ordinal1, A, G, H), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k48_modelc_1(A, B, D))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k48_modelc_1(A, B, D))) =>  (r3_modelc_1(A, B, D, C, k28_modelc_1(k48_modelc_1(A, B, D), E, F)) <=>  (r3_modelc_1(A, B, D, C, E) | r3_modelc_1(A, B, D, C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d60_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k18_modelc_1, u3_modelc_1(k48_modelc_1(A, B, C))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1, u3_modelc_1(k48_modelc_1(A, B, C)))))) )  =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  ( (v1_modelc_1(F) & m2_finseq_1(F, k4_ordinal1))  =>  (r4_modelc_1(A, B, C, D, E, F) <=> r3_modelc_1(A, B, C, E, k24_modelc_1(k48_modelc_1(A, B, C), D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_modelc_1, axiom,  (! [A] :  ( (v1_modelc_1(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_partfun1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B))))  =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(k30_modelc_1(B))))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k18_modelc_1, u3_modelc_1(k48_modelc_1(B, C, E))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1, u3_modelc_1(k48_modelc_1(B, C, E)))))) )  =>  (v2_modelc_1(A) =>  (r4_modelc_1(B, C, E, F, D, A) <=> r2_tarski(k1_funct_1(F, A), k3_funct_2(B, k1_zfmisc_1(E), k46_modelc_1(B, E), D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_modelc_1, axiom,  (! [A] :  ( (v1_modelc_1(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_partfun1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B))))  =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(k30_modelc_1(B))))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k18_modelc_1, u3_modelc_1(k48_modelc_1(B, C, E))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1, u3_modelc_1(k48_modelc_1(B, C, E)))))) )  =>  (r4_modelc_1(B, C, E, F, D, k7_modelc_1(A)) <=>  ~ (r4_modelc_1(B, C, E, F, D, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_modelc_1, axiom,  (! [A] :  ( (v1_modelc_1(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_1(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_partfun1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, C))))  =>  (! [E] :  (m1_subset_1(E, C) =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  & m1_subset_1(F, k1_zfmisc_1(k30_modelc_1(C))))  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k18_modelc_1, u3_modelc_1(k48_modelc_1(C, D, F))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1, u3_modelc_1(k48_modelc_1(C, D, F)))))) )  =>  (r4_modelc_1(C, D, F, G, E, k8_modelc_1(A, B)) <=>  (r4_modelc_1(C, D, F, G, E, A) & r4_modelc_1(C, D, F, G, E, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_modelc_1, axiom,  (! [A] :  ( (v1_modelc_1(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_1(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_partfun1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, C))))  =>  (! [E] :  (m1_subset_1(E, C) =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  & m1_subset_1(F, k1_zfmisc_1(k30_modelc_1(C))))  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k18_modelc_1, u3_modelc_1(k48_modelc_1(C, D, F))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1, u3_modelc_1(k48_modelc_1(C, D, F)))))) )  =>  (r4_modelc_1(C, D, F, G, E, k13_modelc_1(A, B)) <=>  (r4_modelc_1(C, D, F, G, E, A) | r4_modelc_1(C, D, F, G, E, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_modelc_1, axiom,  (! [A] :  ( (v1_modelc_1(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_partfun1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B))))  =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(k30_modelc_1(B))))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k18_modelc_1, u3_modelc_1(k48_modelc_1(B, C, E))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1, u3_modelc_1(k48_modelc_1(B, C, E)))))) )  =>  (r4_modelc_1(B, C, E, F, D, k9_modelc_1(A)) <=>  (? [G] :  (m1_modelc_1(G, B, C) &  (k3_funct_2(k4_ordinal1, B, G, k5_numbers)=D & r4_modelc_1(B, C, E, F, k3_funct_2(k4_ordinal1, B, G, 1), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_modelc_1, axiom,  (! [A] :  ( (v1_modelc_1(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_partfun1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B))))  =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(k30_modelc_1(B))))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k18_modelc_1, u3_modelc_1(k48_modelc_1(B, C, E))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1, u3_modelc_1(k48_modelc_1(B, C, E)))))) )  =>  (r4_modelc_1(B, C, E, F, D, k10_modelc_1(A)) <=>  (? [G] :  (m1_modelc_1(G, B, C) &  (k3_funct_2(k4_ordinal1, B, G, k5_numbers)=D &  (! [H] :  (m1_subset_1(H, k4_ordinal1) => r4_modelc_1(B, C, E, F, k3_funct_2(k4_ordinal1, B, G, H), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_modelc_1, axiom,  (! [A] :  ( (v1_modelc_1(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_1(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_partfun1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, C))))  =>  (! [E] :  (m1_subset_1(E, C) =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  & m1_subset_1(F, k1_zfmisc_1(k30_modelc_1(C))))  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k18_modelc_1, u3_modelc_1(k48_modelc_1(C, D, F))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1, u3_modelc_1(k48_modelc_1(C, D, F)))))) )  =>  (r4_modelc_1(C, D, F, G, E, k11_modelc_1(A, B)) <=>  (? [H] :  (m1_modelc_1(H, C, D) &  (k3_funct_2(k4_ordinal1, C, H, k5_numbers)=E &  (? [I] :  (m1_subset_1(I, k4_ordinal1) &  ( (! [J] :  (m1_subset_1(J, k4_ordinal1) =>  ( ~ (r1_xxreal_0(I, J))  => r4_modelc_1(C, D, F, G, k3_funct_2(k4_ordinal1, C, H, J), A)) ) )  & r4_modelc_1(C, D, F, G, k3_funct_2(k4_ordinal1, C, H, I), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  (m1_subset_1(C, A) =>  (? [D] :  (m1_modelc_1(D, A, B) & k3_funct_2(k4_ordinal1, A, D, k5_numbers)=C) ) ) ) ) ) ) ) ).
fof(t26_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (v1_partfun1(B, A) <=>  (! [C] :  ~ ( (r2_tarski(C, A) &  (! [D] :  ~ ( (r2_tarski(D, A) & r2_hidden(k4_tarski(C, D), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(d61_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_modelc_1(D, A, B) =>  (! [E] :  ( (E=k5_numbers => k49_modelc_1(A, B, C, D, E)=C)  &  ( ~ (E=k5_numbers)  => k49_modelc_1(A, B, C, D, E)=k3_funct_2(k4_ordinal1, A, D, k2_modelc_1(k6_xcmplx_0(k2_modelc_1(E), 1)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  ~ ( (r2_hidden(k4_tarski(C, D), B) &  (! [E] :  (m1_modelc_1(E, A, B) =>  ~ ( (k3_funct_2(k4_ordinal1, A, E, k5_numbers)=C & k3_funct_2(k4_ordinal1, A, E, 1)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k48_modelc_1(A, B, D))) =>  (r3_modelc_1(A, B, D, C, k25_modelc_1(k48_modelc_1(A, B, D), E)) <=>  (? [F] :  (m1_subset_1(F, A) &  (r2_hidden(k4_tarski(C, F), B) & r3_modelc_1(A, B, D, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k48_modelc_1(A, B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k48_modelc_1(A, B, C))) =>  (k51_modelc_1(A, B, C, D)=k51_modelc_1(A, B, C, E) => D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(d64_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k48_modelc_1(A, B, C))) =>  (E=k52_modelc_1(A, B, C, D) <=>  (! [F] :  (r2_tarski(F, A) => k1_funct_1(k31_modelc_1(A, E), F)=k1_funct_1(k5_funct_3(D, A), F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  (k52_modelc_1(A, B, C, D)=k52_modelc_1(A, B, C, E) => D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k48_modelc_1(A, B, C))) => k52_modelc_1(A, B, C, k51_modelc_1(A, B, C, D))=D) ) ) ) ) ) ) ) ).
fof(t32_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) => k51_modelc_1(A, B, C, k52_modelc_1(A, B, C, D))=D) ) ) ) ) ) ) ) ).
fof(t33_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k48_modelc_1(A, B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k48_modelc_1(A, B, C))) =>  (k51_modelc_1(A, B, C, k3_robbins1(k48_modelc_1(A, B, C), D))=k6_subset_1(A, k51_modelc_1(A, B, C, D)) &  (k51_modelc_1(A, B, C, k2_lattices(k48_modelc_1(A, B, C), D, E))=k9_subset_1(A, k51_modelc_1(A, B, C, D), k51_modelc_1(A, B, C, E)) & k51_modelc_1(A, B, C, k28_modelc_1(k48_modelc_1(A, B, C), D, E))=k4_subset_1(A, k51_modelc_1(A, B, C, D), k51_modelc_1(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  (r1_tarski(D, E) =>  (! [F] :  (m1_subset_1(F, A) =>  (r3_modelc_1(A, B, C, F, k52_modelc_1(A, B, C, D)) => r3_modelc_1(A, B, C, F, k52_modelc_1(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k48_modelc_1(A, B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k48_modelc_1(A, B, C))) =>  ( (! [F] :  (m1_subset_1(F, A) =>  (r3_modelc_1(A, B, C, F, D) => r3_modelc_1(A, B, C, F, E)) ) )  => r1_tarski(k51_modelc_1(A, B, C, D), k51_modelc_1(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d65_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k48_modelc_1(A, B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k48_modelc_1(A, B, C))) => k53_modelc_1(A, B, C, D, E)=k2_lattices(k48_modelc_1(A, B, C), D, k25_modelc_1(k48_modelc_1(A, B, C), E))) ) ) ) ) ) ) ) ) ) ).
fof(t36_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k48_modelc_1(A, B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k48_modelc_1(A, B, C))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k48_modelc_1(A, B, C))) =>  ( (! [G] :  (m1_subset_1(G, A) =>  (r3_modelc_1(A, B, C, G, E) => r3_modelc_1(A, B, C, G, F)) ) )  =>  (! [G] :  (m1_subset_1(G, A) =>  (r3_modelc_1(A, B, C, G, k53_modelc_1(A, B, C, D, E)) => r3_modelc_1(A, B, C, G, k53_modelc_1(A, B, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d66_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k48_modelc_1(A, B, C))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) => k54_modelc_1(A, B, C, D, E)=k51_modelc_1(A, B, C, k53_modelc_1(A, B, C, D, k52_modelc_1(A, B, C, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t37_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k48_modelc_1(A, B, C))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(A)) =>  (r1_tarski(E, F) => r1_tarski(k54_modelc_1(A, B, C, D, E), k54_modelc_1(A, B, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d67_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  (m1_modelc_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_modelc_1(E, A, B) =>  (E=k55_modelc_1(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, k4_ordinal1) => k3_funct_2(k4_ordinal1, A, E, F)=k3_funct_2(k4_ordinal1, A, C, k1_nat_1(F, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d68_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  (m1_modelc_1(C, A, B) =>  (! [D] :  (m1_modelc_1(D, A, B) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( ( ~ (r1_xxreal_0(F, E))  => k56_modelc_1(A, B, C, D, E, F)=k1_funct_1(C, E))  &  (r1_xxreal_0(F, E) => k56_modelc_1(A, B, C, D, E, F)=k1_funct_1(D, k6_xcmplx_0(E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d69_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  (m1_modelc_1(C, A, B) =>  (! [D] :  (m1_modelc_1(D, A, B) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  =>  (F=k57_modelc_1(A, B, C, D, E) <=>  (! [G] :  (v7_ordinal1(G) => k1_funct_1(F, G)=k56_modelc_1(A, B, C, D, G, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  (m1_modelc_1(C, A, B) =>  (! [D] :  (m1_modelc_1(D, A, B) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (k3_funct_2(k4_ordinal1, A, C, E)=k3_funct_2(k4_ordinal1, A, D, k5_numbers) => m1_modelc_1(k57_modelc_1(A, B, C, D, E), A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k48_modelc_1(A, B, C))) =>  (! [E] :  (m1_subset_1(E, A) =>  (r3_modelc_1(A, B, C, E, k26_modelc_1(k48_modelc_1(A, B, C), D)) <=> r3_modelc_1(A, B, C, E, k53_modelc_1(A, B, C, D, k26_modelc_1(k48_modelc_1(A, B, C), D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k48_modelc_1(A, B, C))) =>  (! [E] :  (m1_subset_1(E, A) =>  ~ ( (r3_modelc_1(A, B, C, E, D) &  ( (! [F] :  (m1_subset_1(F, A) =>  (r3_modelc_1(A, B, C, F, D) => r3_modelc_1(A, B, C, F, k25_modelc_1(k48_modelc_1(A, B, C), D))) ) )  &  (! [F] :  (m1_modelc_1(F, A, B) =>  ~ ( (k3_funct_2(k4_ordinal1, A, F, k5_numbers)=E &  (! [G] :  (v7_ordinal1(G) => r3_modelc_1(A, B, C, k3_funct_2(k4_ordinal1, A, F, k10_subset_1(G, k4_ordinal1)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k48_modelc_1(A, B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k48_modelc_1(A, B, C))) =>  ( (! [F] :  (m1_subset_1(F, A) =>  (r3_modelc_1(A, B, C, F, E) <=> r3_modelc_1(A, B, C, F, k53_modelc_1(A, B, C, D, E))) ) )  =>  (! [F] :  (m1_subset_1(F, A) =>  (r3_modelc_1(A, B, C, F, E) => r3_modelc_1(A, B, C, F, k26_modelc_1(k48_modelc_1(A, B, C), D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d70_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k48_modelc_1(A, B, C))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_zfmisc_1(A), k1_zfmisc_1(A)) &  (v6_cohsp_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A), k1_zfmisc_1(A))))) ) )  =>  (E=k58_modelc_1(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(A)) => k3_funct_2(k1_zfmisc_1(A), k1_zfmisc_1(A), E, F)=k54_modelc_1(A, B, C, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k48_modelc_1(A, B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k48_modelc_1(A, B, C))) =>  ( (! [F] :  (m1_subset_1(F, A) =>  (r3_modelc_1(A, B, C, F, E) <=> r3_modelc_1(A, B, C, F, k53_modelc_1(A, B, C, D, E))) ) )  <=> r2_abian(k1_zfmisc_1(A), k51_modelc_1(A, B, C, E), k58_modelc_1(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k48_modelc_1(A, B, C))) => k51_modelc_1(A, B, C, k26_modelc_1(k48_modelc_1(A, B, C), D))=k2_knaster(A, k58_modelc_1(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(d71_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k48_modelc_1(A, B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k48_modelc_1(A, B, C))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k48_modelc_1(A, B, C))) => k59_modelc_1(A, B, C, D, E, F)=k28_modelc_1(k48_modelc_1(A, B, C), E, k53_modelc_1(A, B, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k48_modelc_1(A, B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k48_modelc_1(A, B, C))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k48_modelc_1(A, B, C))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k48_modelc_1(A, B, C))) =>  ( (! [H] :  (m1_subset_1(H, A) =>  (r3_modelc_1(A, B, C, H, F) => r3_modelc_1(A, B, C, H, G)) ) )  =>  (! [H] :  (m1_subset_1(H, A) =>  (r3_modelc_1(A, B, C, H, k59_modelc_1(A, B, C, D, E, F)) => r3_modelc_1(A, B, C, H, k59_modelc_1(A, B, C, D, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d72_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k48_modelc_1(A, B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k48_modelc_1(A, B, C))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(A)) => k60_modelc_1(A, B, C, D, E, F)=k51_modelc_1(A, B, C, k59_modelc_1(A, B, C, D, E, k52_modelc_1(A, B, C, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k48_modelc_1(A, B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k48_modelc_1(A, B, C))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(A)) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(A)) =>  (r1_tarski(F, G) => r1_tarski(k60_modelc_1(A, B, C, D, E, F), k60_modelc_1(A, B, C, D, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k48_modelc_1(A, B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k48_modelc_1(A, B, C))) =>  (! [F] :  (m1_subset_1(F, A) =>  (r3_modelc_1(A, B, C, F, k27_modelc_1(k48_modelc_1(A, B, C), D, E)) <=> r3_modelc_1(A, B, C, F, k59_modelc_1(A, B, C, D, E, k27_modelc_1(k48_modelc_1(A, B, C), D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k48_modelc_1(A, B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k48_modelc_1(A, B, C))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k48_modelc_1(A, B, C))) =>  ( (! [G] :  (m1_subset_1(G, A) =>  (r3_modelc_1(A, B, C, G, F) <=> r3_modelc_1(A, B, C, G, k59_modelc_1(A, B, C, D, E, F))) ) )  =>  (! [G] :  (m1_subset_1(G, A) =>  (r3_modelc_1(A, B, C, G, k27_modelc_1(k48_modelc_1(A, B, C), D, E)) => r3_modelc_1(A, B, C, G, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d73_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k48_modelc_1(A, B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k48_modelc_1(A, B, C))) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k1_zfmisc_1(A), k1_zfmisc_1(A)) &  (v6_cohsp_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A), k1_zfmisc_1(A))))) ) )  =>  (F=k61_modelc_1(A, B, C, D, E) <=>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(A)) => k3_funct_2(k1_zfmisc_1(A), k1_zfmisc_1(A), F, G)=k60_modelc_1(A, B, C, D, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k48_modelc_1(A, B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k48_modelc_1(A, B, C))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k48_modelc_1(A, B, C))) =>  ( (! [G] :  (m1_subset_1(G, A) =>  (r3_modelc_1(A, B, C, G, F) <=> r3_modelc_1(A, B, C, G, k59_modelc_1(A, B, C, D, E, F))) ) )  <=> r2_abian(k1_zfmisc_1(A), k51_modelc_1(A, B, C, F), k61_modelc_1(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k48_modelc_1(A, B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k48_modelc_1(A, B, C))) => k51_modelc_1(A, B, C, k27_modelc_1(k48_modelc_1(A, B, C), D, E))=k1_knaster(A, k61_modelc_1(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t50_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k48_modelc_1(A, B, C))) => k51_modelc_1(A, B, C, k25_modelc_1(k48_modelc_1(A, B, C), D))=k50_modelc_1(A, B, k51_modelc_1(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t51_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k48_modelc_1(A, B, C))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) => k3_funct_2(k1_zfmisc_1(A), k1_zfmisc_1(A), k58_modelc_1(A, B, C, D), E)=k9_subset_1(A, k51_modelc_1(A, B, C, D), k50_modelc_1(A, B, E))) ) ) ) ) ) ) ) ) ) ).
fof(t52_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k48_modelc_1(A, B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k48_modelc_1(A, B, C))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(A)) => k3_funct_2(k1_zfmisc_1(A), k1_zfmisc_1(A), k61_modelc_1(A, B, C, D, E), F)=k4_subset_1(A, k51_modelc_1(A, B, C, E), k9_subset_1(A, k51_modelc_1(A, B, C, D), k50_modelc_1(A, B, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_modelc_1, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s1_modelc_1) =>  ( ~ (v1_xboole_0(k3_xboole_0(k9_relat_1(f2_s1_modelc_1, A), f4_s1_modelc_1(A))))  & m1_subset_1(k3_xboole_0(k9_relat_1(f2_s1_modelc_1, A), f4_s1_modelc_1(A)), k1_zfmisc_1(f1_s1_modelc_1))) ) )  =>  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, f1_s1_modelc_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f1_s1_modelc_1)))) )  &  (k3_funct_2(k4_ordinal1, f1_s1_modelc_1, A, k5_numbers)=f3_s1_modelc_1 &  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (r2_hidden(k4_tarski(k3_funct_2(k4_ordinal1, f1_s1_modelc_1, A, B), k3_funct_2(k4_ordinal1, f1_s1_modelc_1, A, k1_nat_1(B, 1))), f2_s1_modelc_1) & r2_tarski(k3_funct_2(k4_ordinal1, f1_s1_modelc_1, A, k1_nat_1(B, 1)), f4_s1_modelc_1(k3_funct_2(k4_ordinal1, f1_s1_modelc_1, A, B)))) ) ) ) ) ) ) ).
fof(s2_modelc_1, axiom,  (? [A] :  (r2_tarski(A, k30_modelc_1(f1_s2_modelc_1)) &  (! [B] :  (r2_tarski(B, f1_s2_modelc_1) =>  (f3_s2_modelc_1(B, f2_s2_modelc_1)=k7_margrel1 <=> k1_funct_1(k31_modelc_1(f1_s2_modelc_1, A), B)=k7_margrel1) ) ) ) ) ).
fof(s3_modelc_1, axiom,  (! [A] :  (! [B] :  ( (r2_tarski(A, k30_modelc_1(f1_s3_modelc_1)) &  ( (! [C] :  (r2_tarski(C, f1_s3_modelc_1) =>  (f3_s3_modelc_1(C, f2_s3_modelc_1)=k7_margrel1 <=> k1_funct_1(k31_modelc_1(f1_s3_modelc_1, A), C)=k7_margrel1) ) )  &  (r2_tarski(B, k30_modelc_1(f1_s3_modelc_1)) &  (! [C] :  (r2_tarski(C, f1_s3_modelc_1) =>  (f3_s3_modelc_1(C, f2_s3_modelc_1)=k7_margrel1 <=> k1_funct_1(k31_modelc_1(f1_s3_modelc_1, B), C)=k7_margrel1) ) ) ) ) )  => A=B) ) ) ).
fof(s4_modelc_1, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, f1_s4_modelc_1, f1_s4_modelc_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(f1_s4_modelc_1, f1_s4_modelc_1)))) )  &  (! [B] :  (r2_hidden(B, f1_s4_modelc_1) => k1_funct_1(A, B)=f2_s4_modelc_1(B)) ) ) ) ).
fof(s5_modelc_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, f2_s5_modelc_1, f2_s5_modelc_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(f2_s5_modelc_1, f2_s5_modelc_1)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, f2_s5_modelc_1, f2_s5_modelc_1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(f2_s5_modelc_1, f2_s5_modelc_1)))) )  =>  ( ( (! [C] :  (r2_hidden(C, f2_s5_modelc_1) => k1_funct_1(A, C)=f3_s5_modelc_1(C)) )  &  (! [C] :  (r2_hidden(C, f2_s5_modelc_1) => k1_funct_1(B, C)=f3_s5_modelc_1(C)) ) )  => r2_funct_2(f2_s5_modelc_1, f2_s5_modelc_1, A, B)) ) ) ) ) ).
fof(s6_modelc_1, axiom,  (? [A] :  (r2_tarski(A, k30_modelc_1(f1_s6_modelc_1)) &  (! [B] :  (r2_tarski(B, f1_s6_modelc_1) =>  (f4_s6_modelc_1(B, f2_s6_modelc_1, f3_s6_modelc_1)=k7_margrel1 <=> k1_funct_1(k31_modelc_1(f1_s6_modelc_1, A), B)=k7_margrel1) ) ) ) ) ).
fof(s7_modelc_1, axiom,  (! [A] :  (! [B] :  ( (r2_tarski(A, k30_modelc_1(f1_s7_modelc_1)) &  ( (! [C] :  (r2_tarski(C, f1_s7_modelc_1) =>  (f4_s7_modelc_1(C, f2_s7_modelc_1, f3_s7_modelc_1)=k7_margrel1 <=> k1_funct_1(k31_modelc_1(f1_s7_modelc_1, A), C)=k7_margrel1) ) )  &  (r2_tarski(B, k30_modelc_1(f1_s7_modelc_1)) &  (! [C] :  (r2_tarski(C, f1_s7_modelc_1) =>  (f4_s7_modelc_1(C, f2_s7_modelc_1, f3_s7_modelc_1)=k7_margrel1 <=> k1_funct_1(k31_modelc_1(f1_s7_modelc_1, B), C)=k7_margrel1) ) ) ) ) )  => A=B) ) ) ).
fof(dt_k1_modelc_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, B) => m1_subset_1(k1_modelc_1(A, B, C), B)) ) ).
fof(dt_k2_modelc_1, axiom,  (! [A] : m1_subset_1(k2_modelc_1(A), k4_ordinal1)) ).
fof(dt_k4_modelc_1, axiom,  (! [A] : v1_xboolean(k4_modelc_1(A))) ).
fof(dt_k5_modelc_1, axiom,  (! [A, B] : m1_subset_1(k5_modelc_1(A, B), k1_zfmisc_1(A))) ).
fof(dt_k6_modelc_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => m2_finseq_1(k6_modelc_1(A), k4_ordinal1)) ) ).
fof(dt_k7_modelc_1, axiom,  (! [A] :  (m1_finseq_1(A, k4_ordinal1) => m2_finseq_1(k7_modelc_1(A), k4_ordinal1)) ) ).
fof(dt_k8_modelc_1, axiom,  (! [A, B] :  ( (m1_finseq_1(A, k4_ordinal1) & m1_finseq_1(B, k4_ordinal1))  => m2_finseq_1(k8_modelc_1(A, B), k4_ordinal1)) ) ).
fof(dt_k9_modelc_1, axiom,  (! [A] :  (m1_finseq_1(A, k4_ordinal1) => m2_finseq_1(k9_modelc_1(A), k4_ordinal1)) ) ).
fof(dt_k10_modelc_1, axiom,  (! [A] :  (m1_finseq_1(A, k4_ordinal1) => m2_finseq_1(k10_modelc_1(A), k4_ordinal1)) ) ).
fof(dt_k11_modelc_1, axiom,  (! [A, B] :  ( (m1_finseq_1(A, k4_ordinal1) & m1_finseq_1(B, k4_ordinal1))  => m2_finseq_1(k11_modelc_1(A, B), k4_ordinal1)) ) ).
fof(dt_k12_modelc_1, axiom,  ~ (v1_xboole_0(k12_modelc_1)) ).
fof(dt_k13_modelc_1, axiom,  (! [A, B] :  ( ( (v1_modelc_1(A) & m1_finseq_1(A, k4_ordinal1))  &  (v1_modelc_1(B) & m1_finseq_1(B, k4_ordinal1)) )  =>  (v1_modelc_1(k13_modelc_1(A, B)) & m2_finseq_1(k13_modelc_1(A, B), k4_ordinal1)) ) ) ).
fof(dt_k14_modelc_1, axiom,  (! [A] :  ( (v1_modelc_1(A) & m1_finseq_1(A, k4_ordinal1))  =>  (v1_modelc_1(k14_modelc_1(A)) & m2_finseq_1(k14_modelc_1(A), k4_ordinal1)) ) ) ).
fof(dt_k15_modelc_1, axiom,  (! [A] :  ( (v1_modelc_1(A) & m1_finseq_1(A, k4_ordinal1))  =>  (v1_modelc_1(k15_modelc_1(A)) & m2_finseq_1(k15_modelc_1(A), k4_ordinal1)) ) ) ).
fof(dt_k16_modelc_1, axiom,  (! [A] :  ( (v1_modelc_1(A) & m1_finseq_1(A, k4_ordinal1))  =>  (v1_modelc_1(k16_modelc_1(A)) & m2_finseq_1(k16_modelc_1(A), k4_ordinal1)) ) ) ).
fof(dt_k17_modelc_1, axiom,  (! [A] :  (v1_modelc_1(k17_modelc_1(A)) & m2_finseq_1(k17_modelc_1(A), k4_ordinal1)) ) ).
fof(abstractness_v8_modelc_1, axiom,  (! [A, B] :  (l1_modelc_1(B, A) =>  (v8_modelc_1(B, A) => B=g1_modelc_1(A, u1_struct_0(B), u1_modelc_1(A, B), u1_orders_2(B), u2_modelc_1(A, B))) ) ) ).
fof(dt_l1_modelc_1, axiom,  (! [A] :  (! [B] :  (l1_modelc_1(B, A) => l1_orders_2(B)) ) ) ).
fof(existence_l1_modelc_1, axiom,  (! [A] :  (? [B] : l1_modelc_1(B, A)) ) ).
fof(dt_g1_modelc_1, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(C, k1_zfmisc_1(B)) &  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B))) &  (v1_funct_1(E) &  (v1_funct_2(E, B, k1_zfmisc_1(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k1_zfmisc_1(A))))) ) ) )  =>  (v8_modelc_1(g1_modelc_1(A, B, C, D, E), A) & l1_modelc_1(g1_modelc_1(A, B, C, D, E), A)) ) ) ).
fof(free_g1_modelc_1, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(C, k1_zfmisc_1(B)) &  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B))) &  (v1_funct_1(E) &  (v1_funct_2(E, B, k1_zfmisc_1(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k1_zfmisc_1(A))))) ) ) )  =>  (! [F, G, H, I, J] :  (g1_modelc_1(A, B, C, D, E)=g1_modelc_1(F, G, H, I, J) =>  (A=F &  (B=G &  (C=H &  (D=I & E=J) ) ) ) ) ) ) ) ).
fof(dt_u1_modelc_1, axiom,  (! [A, B] :  (l1_modelc_1(B, A) => m1_subset_1(u1_modelc_1(A, B), k1_zfmisc_1(u1_struct_0(B)))) ) ).
fof(dt_u2_modelc_1, axiom,  (! [A, B] :  (l1_modelc_1(B, A) =>  (v1_funct_1(u2_modelc_1(A, B)) &  (v1_funct_2(u2_modelc_1(A, B), u1_struct_0(B), k1_zfmisc_1(A)) & m1_subset_1(u2_modelc_1(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_zfmisc_1(A))))) ) ) ) ).
fof(abstractness_v9_modelc_1, axiom,  (! [A] :  (l2_modelc_1(A) =>  (v9_modelc_1(A) => A=g2_modelc_1(u1_struct_0(A), u3_modelc_1(A), u1_lattices(A), u1_robbins1(A), u4_modelc_1(A), u5_modelc_1(A), u6_modelc_1(A))) ) ) ).
fof(dt_l2_modelc_1, axiom,  (! [A] :  (l2_modelc_1(A) => l3_robbins1(A)) ) ).
fof(existence_l2_modelc_1, axiom,  (? [A] : l2_modelc_1(A)) ).
fof(dt_g2_modelc_1, axiom,  (! [A, B, C, D, E, F, G] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, A, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, A, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  &  ( (v1_funct_1(F) &  (v1_funct_2(F, A, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  &  (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(A, A), A) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) ) ) ) ) )  =>  (v9_modelc_1(g2_modelc_1(A, B, C, D, E, F, G)) & l2_modelc_1(g2_modelc_1(A, B, C, D, E, F, G))) ) ) ).
fof(free_g2_modelc_1, axiom,  (! [A, B, C, D, E, F, G] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, A, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, A, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  &  ( (v1_funct_1(F) &  (v1_funct_2(F, A, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  &  (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(A, A), A) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) ) ) ) ) )  =>  (! [H, I, J, K, L, M, N] :  (g2_modelc_1(A, B, C, D, E, F, G)=g2_modelc_1(H, I, J, K, L, M, N) =>  (A=H &  (B=I &  (C=J &  (D=K &  (E=L &  (F=M & G=N) ) ) ) ) ) ) ) ) ) ).
fof(dt_u3_modelc_1, axiom,  (! [A] :  (l2_modelc_1(A) => m1_subset_1(u3_modelc_1(A), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_u4_modelc_1, axiom,  (! [A] :  (l2_modelc_1(A) =>  (v1_funct_1(u4_modelc_1(A)) &  (v1_funct_2(u4_modelc_1(A), u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(u4_modelc_1(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ).
fof(dt_u5_modelc_1, axiom,  (! [A] :  (l2_modelc_1(A) =>  (v1_funct_1(u5_modelc_1(A)) &  (v1_funct_2(u5_modelc_1(A), u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(u5_modelc_1(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ).
fof(dt_u6_modelc_1, axiom,  (! [A] :  (l2_modelc_1(A) =>  (v1_funct_1(u6_modelc_1(A)) &  (v1_funct_2(u6_modelc_1(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(u6_modelc_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(dt_k18_modelc_1, axiom, m1_subset_1(k18_modelc_1, k1_zfmisc_1(k12_modelc_1))).
fof(dt_k20_modelc_1, axiom, l2_modelc_1(k20_modelc_1)).
fof(dt_k21_modelc_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_modelc_1(A) & l2_modelc_1(A)) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k18_modelc_1, u3_modelc_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1, u3_modelc_1(A))))) )  & m1_subset_1(C, k4_ordinal1)) )  =>  ~ (v1_xboole_0(k21_modelc_1(A, B, C))) ) ) ).
fof(dt_k22_modelc_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_modelc_1(A) & l2_modelc_1(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k22_modelc_1(A, B, C)) &  (v1_funct_2(k22_modelc_1(A, B, C), k12_modelc_1, u1_struct_0(A)) & m1_subset_1(k22_modelc_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k12_modelc_1, u1_struct_0(A))))) ) ) ) ).
fof(dt_k23_modelc_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_modelc_1(A) & l2_modelc_1(A)) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k18_modelc_1, u3_modelc_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1, u3_modelc_1(A))))) ) )  =>  ~ (v1_xboole_0(k23_modelc_1(A, B))) ) ) ).
fof(dt_k24_modelc_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_modelc_1(A) & l2_modelc_1(A)) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k18_modelc_1, u3_modelc_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1, u3_modelc_1(A))))) )  &  (v1_modelc_1(C) & m1_finseq_1(C, k4_ordinal1)) ) )  => m1_subset_1(k24_modelc_1(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k25_modelc_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_modelc_1(A) & l2_modelc_1(A)) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k25_modelc_1(A, B), u1_struct_0(A))) ) ).
fof(dt_k26_modelc_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_modelc_1(A) & l2_modelc_1(A)) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k26_modelc_1(A, B), u1_struct_0(A))) ) ).
fof(dt_k27_modelc_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_modelc_1(A) & l2_modelc_1(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k27_modelc_1(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k28_modelc_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_modelc_1(A) & l2_modelc_1(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k28_modelc_1(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k29_modelc_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  & v7_ordinal1(C))  =>  (v1_funct_1(k29_modelc_1(A, B, C)) &  (v1_funct_2(k29_modelc_1(A, B, C), A, A) & m1_subset_1(k29_modelc_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ).
fof(redefinition_k29_modelc_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  & v7_ordinal1(C))  => k29_modelc_1(A, B, C)=k8_funct_7(B, C)) ) ).
fof(dt_f1_s1_modelc_1, axiom,  ~ (v1_xboole_0(f1_s1_modelc_1)) ).
fof(dt_f2_s1_modelc_1, axiom,  (v1_partfun1(f2_s1_modelc_1, f1_s1_modelc_1) & m1_subset_1(f2_s1_modelc_1, k1_zfmisc_1(k2_zfmisc_1(f1_s1_modelc_1, f1_s1_modelc_1)))) ).
fof(dt_f3_s1_modelc_1, axiom, m1_subset_1(f3_s1_modelc_1, f1_s1_modelc_1)).
fof(dt_m1_modelc_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (! [C] :  (m1_modelc_1(C, A, B) =>  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) ) ) ) ) ) ).
fof(existence_m1_modelc_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (? [C] : m1_modelc_1(C, A, B)) ) ) ).
fof(dt_k31_modelc_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k31_modelc_1(A, B)) &  (v1_funct_2(k31_modelc_1(A, B), A, k5_margrel1) & m1_subset_1(k31_modelc_1(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ) ).
fof(dt_f1_s2_modelc_1, axiom,  ~ (v1_xboole_0(f1_s2_modelc_1)) ).
fof(dt_f2_s2_modelc_1, axiom,  (v1_funct_1(f2_s2_modelc_1) &  (v1_funct_2(f2_s2_modelc_1, f1_s2_modelc_1, k5_margrel1) & m1_subset_1(f2_s2_modelc_1, k1_zfmisc_1(k2_zfmisc_1(f1_s2_modelc_1, k5_margrel1)))) ) ).
fof(dt_f3_s2_modelc_1, axiom,  (! [A, B] : v1_xboolean(f3_s2_modelc_1(A, B))) ).
fof(dt_f1_s3_modelc_1, axiom,  ~ (v1_xboole_0(f1_s3_modelc_1)) ).
fof(dt_f2_s3_modelc_1, axiom,  (v1_funct_1(f2_s3_modelc_1) &  (v1_funct_2(f2_s3_modelc_1, f1_s3_modelc_1, k5_margrel1) & m1_subset_1(f2_s3_modelc_1, k1_zfmisc_1(k2_zfmisc_1(f1_s3_modelc_1, k5_margrel1)))) ) ).
fof(dt_f3_s3_modelc_1, axiom,  (! [A, B] : v1_xboolean(f3_s3_modelc_1(A, B))) ).
fof(dt_f1_s4_modelc_1, axiom,  ~ (v1_xboole_0(f1_s4_modelc_1)) ).
fof(dt_f2_s4_modelc_1, axiom,  (! [A] : m1_subset_1(f2_s4_modelc_1(A), f1_s4_modelc_1)) ).
fof(dt_f1_s5_modelc_1, axiom,  ~ (v1_xboole_0(f1_s5_modelc_1)) ).
fof(dt_f2_s5_modelc_1, axiom,  ~ (v1_xboole_0(f2_s5_modelc_1)) ).
fof(dt_f3_s5_modelc_1, axiom,  (! [A] : m1_subset_1(f3_s5_modelc_1(A), f2_s5_modelc_1)) ).
fof(dt_f1_s6_modelc_1, axiom,  ~ (v1_xboole_0(f1_s6_modelc_1)) ).
fof(dt_f2_s6_modelc_1, axiom,  (v1_funct_1(f2_s6_modelc_1) &  (v1_funct_2(f2_s6_modelc_1, f1_s6_modelc_1, k5_margrel1) & m1_subset_1(f2_s6_modelc_1, k1_zfmisc_1(k2_zfmisc_1(f1_s6_modelc_1, k5_margrel1)))) ) ).
fof(dt_f3_s6_modelc_1, axiom,  (v1_funct_1(f3_s6_modelc_1) &  (v1_funct_2(f3_s6_modelc_1, f1_s6_modelc_1, k5_margrel1) & m1_subset_1(f3_s6_modelc_1, k1_zfmisc_1(k2_zfmisc_1(f1_s6_modelc_1, k5_margrel1)))) ) ).
fof(dt_f4_s6_modelc_1, axiom,  (! [A, B, C] : v1_xboolean(f4_s6_modelc_1(A, B, C))) ).
fof(dt_f1_s7_modelc_1, axiom,  ~ (v1_xboole_0(f1_s7_modelc_1)) ).
fof(dt_f2_s7_modelc_1, axiom,  (v1_funct_1(f2_s7_modelc_1) &  (v1_funct_2(f2_s7_modelc_1, f1_s7_modelc_1, k5_margrel1) & m1_subset_1(f2_s7_modelc_1, k1_zfmisc_1(k2_zfmisc_1(f1_s7_modelc_1, k5_margrel1)))) ) ).
fof(dt_f3_s7_modelc_1, axiom,  (v1_funct_1(f3_s7_modelc_1) &  (v1_funct_2(f3_s7_modelc_1, f1_s7_modelc_1, k5_margrel1) & m1_subset_1(f3_s7_modelc_1, k1_zfmisc_1(k2_zfmisc_1(f1_s7_modelc_1, k5_margrel1)))) ) ).
fof(dt_f4_s7_modelc_1, axiom,  (! [A, B, C] : v1_xboolean(f4_s7_modelc_1(A, B, C))) ).
fof(dt_k32_modelc_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  => m1_subset_1(k32_modelc_1(A, B), k30_modelc_1(A))) ) ).
fof(dt_k33_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k33_modelc_1(A)) &  (v1_funct_2(k33_modelc_1(A), k30_modelc_1(A), k30_modelc_1(A)) & m1_subset_1(k33_modelc_1(A), k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A), k30_modelc_1(A))))) ) ) ) ).
fof(dt_k34_modelc_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  => m1_subset_1(k34_modelc_1(A, B, C, D), k5_margrel1)) ) ).
fof(dt_k35_modelc_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  => m1_subset_1(k35_modelc_1(A, B, C), k30_modelc_1(A))) ) ).
fof(dt_k36_modelc_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (v1_funct_1(k36_modelc_1(A, B)) &  (v1_funct_2(k36_modelc_1(A, B), k30_modelc_1(A), k30_modelc_1(A)) & m1_subset_1(k36_modelc_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A), k30_modelc_1(A))))) ) ) ) ).
fof(dt_k37_modelc_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  => m1_subset_1(k37_modelc_1(A, B, C, D), k5_margrel1)) ) ).
fof(dt_k38_modelc_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  => m1_subset_1(k38_modelc_1(A, B, C), k30_modelc_1(A))) ) ).
fof(dt_k39_modelc_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (v1_funct_1(k39_modelc_1(A, B)) &  (v1_funct_2(k39_modelc_1(A, B), k30_modelc_1(A), k30_modelc_1(A)) & m1_subset_1(k39_modelc_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A), k30_modelc_1(A))))) ) ) ) ).
fof(dt_k40_modelc_1, axiom,  (! [A, B, C] :  ( ~ (v1_xboole_0(A))  => m1_subset_1(k40_modelc_1(A, B, C), k30_modelc_1(A))) ) ).
fof(dt_k41_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k41_modelc_1(A)) &  (v1_funct_2(k41_modelc_1(A), k2_zfmisc_1(k30_modelc_1(A), k30_modelc_1(A)), k30_modelc_1(A)) & m1_subset_1(k41_modelc_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A), k30_modelc_1(A)), k30_modelc_1(A))))) ) ) ) ).
fof(dt_k42_modelc_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ) )  => m1_subset_1(k42_modelc_1(A, B, C, D, E), k5_margrel1)) ) ).
fof(dt_k43_modelc_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  => m1_subset_1(k43_modelc_1(A, B, C, D), k30_modelc_1(A))) ) ).
fof(dt_k44_modelc_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (v1_funct_1(k44_modelc_1(A, B)) &  (v1_funct_2(k44_modelc_1(A, B), k2_zfmisc_1(k30_modelc_1(A), k30_modelc_1(A)), k30_modelc_1(A)) & m1_subset_1(k44_modelc_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A), k30_modelc_1(A)), k30_modelc_1(A))))) ) ) ) ).
fof(dt_k45_modelc_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k30_modelc_1(A)))) )  => m1_subset_1(k45_modelc_1(A, B, C), k1_zfmisc_1(B))) ) ).
fof(dt_k46_modelc_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k30_modelc_1(A)))) )  =>  (v1_funct_1(k46_modelc_1(A, B)) &  (v1_funct_2(k46_modelc_1(A, B), A, k1_zfmisc_1(B)) & m1_subset_1(k46_modelc_1(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k1_zfmisc_1(B))))) ) ) ) ).
fof(dt_k47_modelc_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(A)) &  ( (v1_partfun1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k30_modelc_1(A)))) ) ) )  => l1_modelc_1(k47_modelc_1(A, B, C, D), D)) ) ).
fof(dt_k48_modelc_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A)))) ) )  => l2_modelc_1(k48_modelc_1(A, B, C))) ) ).
fof(dt_k49_modelc_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  (m1_subset_1(C, A) & m1_modelc_1(D, A, B)) ) )  => m1_subset_1(k49_modelc_1(A, B, C, D, E), A)) ) ).
fof(dt_k50_modelc_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  & m1_subset_1(C, k1_zfmisc_1(A))) )  => m1_subset_1(k50_modelc_1(A, B, C), k1_zfmisc_1(A))) ) ).
fof(dt_k51_modelc_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  & m1_subset_1(D, u1_struct_0(k48_modelc_1(A, B, C)))) ) )  => m1_subset_1(k51_modelc_1(A, B, C, D), k1_zfmisc_1(A))) ) ).
fof(dt_k52_modelc_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  & m1_subset_1(D, k1_zfmisc_1(A))) ) )  => m1_subset_1(k52_modelc_1(A, B, C, D), u1_struct_0(k48_modelc_1(A, B, C)))) ) ).
fof(dt_k53_modelc_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  &  (m1_subset_1(D, u1_struct_0(k48_modelc_1(A, B, C))) & m1_subset_1(E, u1_struct_0(k48_modelc_1(A, B, C)))) ) ) )  => m1_subset_1(k53_modelc_1(A, B, C, D, E), u1_struct_0(k48_modelc_1(A, B, C)))) ) ).
fof(dt_k54_modelc_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  &  (m1_subset_1(D, u1_struct_0(k48_modelc_1(A, B, C))) & m1_subset_1(E, k1_zfmisc_1(A))) ) ) )  => m1_subset_1(k54_modelc_1(A, B, C, D, E), k1_zfmisc_1(A))) ) ).
fof(dt_k55_modelc_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  (m1_modelc_1(C, A, B) & m1_subset_1(D, k4_ordinal1)) ) )  => m1_modelc_1(k55_modelc_1(A, B, C, D), A, B)) ) ).
fof(dt_k57_modelc_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  (m1_modelc_1(C, A, B) &  (m1_modelc_1(D, A, B) & v7_ordinal1(E)) ) ) )  =>  (v1_funct_1(k57_modelc_1(A, B, C, D, E)) &  (v1_funct_2(k57_modelc_1(A, B, C, D, E), k4_ordinal1, A) & m1_subset_1(k57_modelc_1(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) ) ) ) ).
fof(dt_k58_modelc_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  & m1_subset_1(D, u1_struct_0(k48_modelc_1(A, B, C)))) ) )  =>  (v1_funct_1(k58_modelc_1(A, B, C, D)) &  (v1_funct_2(k58_modelc_1(A, B, C, D), k1_zfmisc_1(A), k1_zfmisc_1(A)) &  (v6_cohsp_1(k58_modelc_1(A, B, C, D)) & m1_subset_1(k58_modelc_1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A), k1_zfmisc_1(A))))) ) ) ) ) ).
fof(dt_k59_modelc_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  &  (m1_subset_1(D, u1_struct_0(k48_modelc_1(A, B, C))) &  (m1_subset_1(E, u1_struct_0(k48_modelc_1(A, B, C))) & m1_subset_1(F, u1_struct_0(k48_modelc_1(A, B, C)))) ) ) ) )  => m1_subset_1(k59_modelc_1(A, B, C, D, E, F), u1_struct_0(k48_modelc_1(A, B, C)))) ) ).
fof(dt_k60_modelc_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  &  (m1_subset_1(D, u1_struct_0(k48_modelc_1(A, B, C))) &  (m1_subset_1(E, u1_struct_0(k48_modelc_1(A, B, C))) & m1_subset_1(F, k1_zfmisc_1(A))) ) ) ) )  => m1_subset_1(k60_modelc_1(A, B, C, D, E, F), k1_zfmisc_1(A))) ) ).
fof(dt_k61_modelc_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  &  (m1_subset_1(D, u1_struct_0(k48_modelc_1(A, B, C))) & m1_subset_1(E, u1_struct_0(k48_modelc_1(A, B, C)))) ) ) )  =>  (v1_funct_1(k61_modelc_1(A, B, C, D, E)) &  (v1_funct_2(k61_modelc_1(A, B, C, D, E), k1_zfmisc_1(A), k1_zfmisc_1(A)) &  (v6_cohsp_1(k61_modelc_1(A, B, C, D, E)) & m1_subset_1(k61_modelc_1(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A), k1_zfmisc_1(A))))) ) ) ) ) ).
fof(d25_modelc_1, axiom, k18_modelc_1=a_0_0_modelc_1).
fof(d31_modelc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_modelc_1(A) & l2_modelc_1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k18_modelc_1, u3_modelc_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1, u3_modelc_1(A))))) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => k21_modelc_1(A, B, C)=a_3_0_modelc_1(A, B, C)) ) ) ) ) ) ).
fof(d62_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k50_modelc_1(A, B, C)=a_3_1_modelc_1(A, B, C)) ) ) ) ) ) ).
fof(d63_modelc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k30_modelc_1(A))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k48_modelc_1(A, B, C))) => k51_modelc_1(A, B, C, D)=a_4_0_modelc_1(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_0_0_modelc_1, axiom,  (! [A] :  (r2_hidden(A, a_0_0_modelc_1) <=>  (? [B] :  ( (v1_modelc_1(B) & m2_finseq_1(B, k4_ordinal1))  &  (A=B & v2_modelc_1(B)) ) ) ) ) ).
fof(fraenkel_a_3_0_modelc_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v10_modelc_1(B) & l2_modelc_1(B)) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k18_modelc_1, u3_modelc_1(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1, u3_modelc_1(B))))) )  & m1_subset_1(D, k4_ordinal1)) )  =>  (r2_hidden(A, a_3_0_modelc_1(B, C, D)) <=>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k12_modelc_1, u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k12_modelc_1, u1_struct_0(B))))) )  &  (A=E & r2_modelc_1(B, C, E, D)) ) ) ) ) ) ).
fof(fraenkel_a_3_1_modelc_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_partfun1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B))))  & m1_subset_1(D, k1_zfmisc_1(B))) )  =>  (r2_hidden(A, a_3_1_modelc_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, B) &  (A=E &  (? [F] :  (m1_subset_1(F, B) &  (r2_tarski(F, D) & r2_hidden(k4_tarski(E, F), C)) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_modelc_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_partfun1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B))))  &  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k30_modelc_1(B))))  & m1_subset_1(E, u1_struct_0(k48_modelc_1(B, C, D)))) ) )  =>  (r2_hidden(A, a_4_0_modelc_1(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, B) &  (A=F & r3_modelc_1(B, C, D, F, E)) ) ) ) ) ) ).
fof(rc1_modelc_2, axiom,  (? [A] :  (m1_finseq_1(A, k4_ordinal1) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) & v1_modelc_2(A)) ) ) ) ) ) ) ) ) ).
fof(fc1_modelc_2, axiom,  (! [A] :  (v7_ordinal1(A) => v1_modelc_2(k2_modelc_2(A))) ) ).
fof(fc2_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  => v1_modelc_2(k3_modelc_2(A))) ) ).
fof(fc3_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  => v1_modelc_2(k6_modelc_2(A))) ) ).
fof(fc4_modelc_2, axiom,  (! [A, B] :  ( ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  &  (v1_modelc_2(B) & m1_finseq_1(B, k4_ordinal1)) )  => v1_modelc_2(k4_modelc_2(A, B))) ) ).
fof(fc5_modelc_2, axiom,  (! [A, B] :  ( ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  &  (v1_modelc_2(B) & m1_finseq_1(B, k4_ordinal1)) )  => v1_modelc_2(k5_modelc_2(A, B))) ) ).
fof(fc6_modelc_2, axiom,  (! [A, B] :  ( ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  &  (v1_modelc_2(B) & m1_finseq_1(B, k4_ordinal1)) )  => v1_modelc_2(k7_modelc_2(A, B))) ) ).
fof(fc7_modelc_2, axiom,  (! [A, B] :  ( ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  &  (v1_modelc_2(B) & m1_finseq_1(B, k4_ordinal1)) )  => v1_modelc_2(k8_modelc_2(A, B))) ) ).
fof(fc8_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  =>  ~ (v1_xboole_0(k13_modelc_2(A))) ) ) ).
fof(rc2_modelc_2, axiom,  (? [A] :  (l1_modelc_2(A) & v9_modelc_2(A)) ) ).
fof(fc9_modelc_2, axiom,  ( ~ (v2_struct_0(k17_modelc_2))  &  (v9_modelc_2(k17_modelc_2) & v10_modelc_2(k17_modelc_2)) ) ).
fof(rc3_modelc_2, axiom,  (? [A] :  (l1_modelc_2(A) &  ~ (v2_struct_0(A)) ) ) ).
fof(rc4_modelc_2, axiom,  (? [A] :  (l1_modelc_2(A) &  ( ~ (v2_struct_0(A))  & v10_modelc_2(A)) ) ) ).
fof(fc10_modelc_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_modelc_2(A) & l1_modelc_2(A)) )  =>  ~ (v1_xboole_0(u1_modelc_2(A))) ) ) ).
fof(fc11_modelc_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k30_modelc_1(k25_modelc_2(A))))) )  =>  ( ~ (v2_struct_0(k42_modelc_2(A, B)))  &  (v9_modelc_2(k42_modelc_2(A, B)) & v10_modelc_2(k42_modelc_2(A, B))) ) ) ) ).
fof(d1_modelc_2, axiom,  (! [A] :  ( (v7_ordinal1(A) => k1_modelc_2(A)=A)  &  ( ~ (v7_ordinal1(A))  => k1_modelc_2(A)=k5_numbers) ) ) ).
fof(d2_modelc_2, axiom,  (! [A] :  (v7_ordinal1(A) => k2_modelc_2(A)=k9_finseq_1(k2_xcmplx_0(6, A))) ) ).
fof(d3_modelc_2, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) => k3_modelc_2(A)=k8_finseq_1(k4_ordinal1, k12_finseq_1(k4_ordinal1, k5_numbers), A)) ) ).
fof(d4_modelc_2, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) => k4_modelc_2(A, B)=k8_finseq_1(k4_ordinal1, k8_finseq_1(k4_ordinal1, k12_finseq_1(k4_ordinal1, 1), A), B)) ) ) ) ).
fof(d5_modelc_2, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) => k5_modelc_2(A, B)=k8_finseq_1(k4_ordinal1, k8_finseq_1(k4_ordinal1, k12_finseq_1(k4_ordinal1, 2), A), B)) ) ) ) ).
fof(d6_modelc_2, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) => k6_modelc_2(A)=k8_finseq_1(k4_ordinal1, k12_finseq_1(k4_ordinal1, 3), A)) ) ).
fof(d7_modelc_2, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) => k7_modelc_2(A, B)=k8_finseq_1(k4_ordinal1, k8_finseq_1(k4_ordinal1, k12_finseq_1(k4_ordinal1, 4), A), B)) ) ) ) ).
fof(d8_modelc_2, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) => k8_modelc_2(A, B)=k8_finseq_1(k4_ordinal1, k8_finseq_1(k4_ordinal1, k12_finseq_1(k4_ordinal1, 5), A), B)) ) ) ) ).
fof(d9_modelc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (A=k9_modelc_2 <=>  ( (! [B] :  (r2_tarski(B, A) => m2_finseq_1(B, k4_ordinal1)) )  &  ( (! [B] :  (v7_ordinal1(B) => r2_tarski(k2_modelc_2(B), A)) )  &  ( (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (r2_tarski(B, A) => r2_tarski(k3_modelc_2(B), A)) ) )  &  ( (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  ( (r2_tarski(B, A) & r2_tarski(C, A))  => r2_tarski(k4_modelc_2(B, C), A)) ) ) ) )  &  ( (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  ( (r2_tarski(B, A) & r2_tarski(C, A))  => r2_tarski(k5_modelc_2(B, C), A)) ) ) ) )  &  ( (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (r2_tarski(B, A) => r2_tarski(k6_modelc_2(B), A)) ) )  &  ( (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  ( (r2_tarski(B, A) & r2_tarski(C, A))  => r2_tarski(k7_modelc_2(B, C), A)) ) ) ) )  &  ( (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  ( (r2_tarski(B, A) & r2_tarski(C, A))  => r2_tarski(k8_modelc_2(B, C), A)) ) ) ) )  &  (! [B] :  ( ~ (v1_xboole_0(B))  =>  ( ( (! [C] :  (r2_tarski(C, B) => m2_finseq_1(C, k4_ordinal1)) )  &  ( (! [C] :  (v7_ordinal1(C) => r2_tarski(k2_modelc_2(C), B)) )  &  ( (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (r2_tarski(C, B) => r2_tarski(k3_modelc_2(C), B)) ) )  &  ( (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k4_modelc_2(C, D), B)) ) ) ) )  &  ( (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k5_modelc_2(C, D), B)) ) ) ) )  &  ( (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (r2_tarski(C, B) => r2_tarski(k6_modelc_2(C), B)) ) )  &  ( (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k7_modelc_2(C, D), B)) ) ) ) )  &  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k8_modelc_2(C, D), B)) ) ) ) ) ) ) ) ) ) ) )  => r1_tarski(A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_modelc_2, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  (v1_modelc_2(A) <=> m1_subset_1(A, k9_modelc_2)) ) ) ).
fof(t1_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  <=> r2_tarski(A, k9_modelc_2)) ) ).
fof(d11_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (v2_modelc_2(A) <=>  (? [B] :  (v7_ordinal1(B) & A=k2_modelc_2(B)) ) ) ) ) ).
fof(d12_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (v3_modelc_2(A) <=>  (? [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  & A=k3_modelc_2(B)) ) ) ) ) ).
fof(d13_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (v4_modelc_2(A) <=>  (? [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  &  (? [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  & A=k4_modelc_2(B, C)) ) ) ) ) ) ) ).
fof(d14_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (v5_modelc_2(A) <=>  (? [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  &  (? [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  & A=k5_modelc_2(B, C)) ) ) ) ) ) ) ).
fof(d15_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (v6_modelc_2(A) <=>  (? [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  & A=k6_modelc_2(B)) ) ) ) ) ).
fof(d16_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (v7_modelc_2(A) <=>  (? [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  &  (? [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  & A=k7_modelc_2(B, C)) ) ) ) ) ) ) ).
fof(d17_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (v8_modelc_2(A) <=>  (? [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  &  (? [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  & A=k8_modelc_2(B, C)) ) ) ) ) ) ) ).
fof(t2_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  ~ ( ( ~ (v2_modelc_2(A))  &  ( ~ (v3_modelc_2(A))  &  ( ~ (v4_modelc_2(A))  &  ( ~ (v5_modelc_2(A))  &  ( ~ (v6_modelc_2(A))  &  ( ~ (v7_modelc_2(A))  &  ~ (v8_modelc_2(A)) ) ) ) ) ) ) ) ) ) ).
fof(t3_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  => r1_xxreal_0(1, k3_finseq_1(A))) ) ).
fof(d18_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  ( (v3_modelc_2(A) | v6_modelc_2(A))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  ( (v3_modelc_2(A) =>  (B=k10_modelc_2(A) <=> k3_modelc_2(B)=A) )  &  ( ~ (v3_modelc_2(A))  =>  (B=k10_modelc_2(A) <=> k6_modelc_2(B)=A) ) ) ) ) ) ) ) ).
fof(d19_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  ( ~ ( ( ~ (v4_modelc_2(A))  &  ( ~ (v5_modelc_2(A))  &  ( ~ (v7_modelc_2(A))  &  ~ (v8_modelc_2(A)) ) ) ) )  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  ( (v4_modelc_2(A) =>  (B=k11_modelc_2(A) <=>  (? [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  & k4_modelc_2(B, C)=A) ) ) )  &  ( (v5_modelc_2(A) =>  (B=k11_modelc_2(A) <=>  (? [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  & k5_modelc_2(B, C)=A) ) ) )  &  ( (v7_modelc_2(A) =>  (B=k11_modelc_2(A) <=>  (? [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  & k7_modelc_2(B, C)=A) ) ) )  &  ~ ( ( ~ (v4_modelc_2(A))  &  ( ~ (v5_modelc_2(A))  &  ( ~ (v7_modelc_2(A))  &  ~ ( (B=k11_modelc_2(A) <=>  (? [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  & k8_modelc_2(B, C)=A) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d20_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  ( ~ ( ( ~ (v4_modelc_2(A))  &  ( ~ (v5_modelc_2(A))  &  ( ~ (v7_modelc_2(A))  &  ~ (v8_modelc_2(A)) ) ) ) )  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  ( (v4_modelc_2(A) =>  (B=k12_modelc_2(A) <=>  (? [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  & k4_modelc_2(C, B)=A) ) ) )  &  ( (v5_modelc_2(A) =>  (B=k12_modelc_2(A) <=>  (? [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  & k5_modelc_2(C, B)=A) ) ) )  &  ( (v7_modelc_2(A) =>  (B=k12_modelc_2(A) <=>  (? [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  & k7_modelc_2(C, B)=A) ) ) )  &  ~ ( ( ~ (v4_modelc_2(A))  &  ( ~ (v5_modelc_2(A))  &  ( ~ (v7_modelc_2(A))  &  ~ ( (B=k12_modelc_2(A) <=>  (? [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  & k8_modelc_2(C, B)=A) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (v3_modelc_2(A) => A=k3_modelc_2(k10_modelc_2(A))) ) ) ).
fof(t5_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (v6_modelc_2(A) => A=k6_modelc_2(k10_modelc_2(A))) ) ) ).
fof(t6_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (v4_modelc_2(A) => A=k4_modelc_2(k11_modelc_2(A), k12_modelc_2(A))) ) ) ).
fof(t7_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (v5_modelc_2(A) => A=k5_modelc_2(k11_modelc_2(A), k12_modelc_2(A))) ) ) ).
fof(t8_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (v7_modelc_2(A) => A=k7_modelc_2(k11_modelc_2(A), k12_modelc_2(A))) ) ) ).
fof(t9_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (v8_modelc_2(A) => A=k8_modelc_2(k11_modelc_2(A), k12_modelc_2(A))) ) ) ).
fof(t10_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  ( (v3_modelc_2(A) | v6_modelc_2(A))  =>  (k3_finseq_1(A)=k1_nat_1(1, k3_finseq_1(k10_modelc_2(A))) &  ~ (r1_xxreal_0(k3_finseq_1(A), k3_finseq_1(k10_modelc_2(A)))) ) ) ) ) ).
fof(t11_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  ( ~ ( ( ~ (v4_modelc_2(A))  &  ( ~ (v5_modelc_2(A))  &  ( ~ (v7_modelc_2(A))  &  ~ (v8_modelc_2(A)) ) ) ) )  =>  (k3_finseq_1(A)=k1_nat_1(k1_nat_1(1, k3_finseq_1(k11_modelc_2(A))), k3_finseq_1(k12_modelc_2(A))) &  ( ~ (r1_xxreal_0(k3_finseq_1(A), k3_finseq_1(k11_modelc_2(A))))  &  ~ (r1_xxreal_0(k3_finseq_1(A), k3_finseq_1(k12_modelc_2(A)))) ) ) ) ) ) ).
fof(d21_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (r1_modelc_2(A, B) <=>  ~ ( ( ~ (B=k3_modelc_2(A))  &  ( ~ (B=k6_modelc_2(A))  &  (! [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  =>  ( ~ (B=k4_modelc_2(A, C))  &  ( ~ (B=k4_modelc_2(C, A))  &  ( ~ (B=k5_modelc_2(A, C))  &  ( ~ (B=k5_modelc_2(C, A))  &  ( ~ (B=k7_modelc_2(A, C))  &  ( ~ (B=k7_modelc_2(C, A))  &  ( ~ (B=k8_modelc_2(A, C))  &  ~ (B=k8_modelc_2(C, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (k1_funct_1(k3_modelc_2(A), 1)=k5_numbers &  (k1_funct_1(k4_modelc_2(A, B), 1)=1 &  (k1_funct_1(k5_modelc_2(A, B), 1)=2 &  (k1_funct_1(k6_modelc_2(A), 1)=3 &  (k1_funct_1(k7_modelc_2(A, B), 1)=4 & k1_funct_1(k8_modelc_2(A, B), 1)=5) ) ) ) ) ) ) ) ) ).
fof(t13_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (r1_modelc_2(B, k3_modelc_2(A)) <=> B=A) ) ) ) ) ).
fof(t14_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (r1_modelc_2(B, k6_modelc_2(A)) <=> B=A) ) ) ) ) ).
fof(t15_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  =>  (r1_modelc_2(C, k4_modelc_2(A, B)) <=>  (C=A | C=B) ) ) ) ) ) ) ) ).
fof(t16_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  =>  (r1_modelc_2(C, k5_modelc_2(A, B)) <=>  (C=A | C=B) ) ) ) ) ) ) ) ).
fof(t17_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  =>  (r1_modelc_2(C, k7_modelc_2(A, B)) <=>  (C=A | C=B) ) ) ) ) ) ) ) ).
fof(t18_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  =>  (r1_modelc_2(C, k8_modelc_2(A, B)) <=>  (C=A | C=B) ) ) ) ) ) ) ) ).
fof(t19_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  ~ ( (v2_modelc_2(A) & r1_modelc_2(B, A)) ) ) ) ) ) ).
fof(t20_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (v3_modelc_2(A) =>  (r1_modelc_2(B, A) <=> B=k10_modelc_2(A)) ) ) ) ) ) ).
fof(t21_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (v6_modelc_2(A) =>  (r1_modelc_2(B, A) <=> B=k10_modelc_2(A)) ) ) ) ) ) ).
fof(t22_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (v4_modelc_2(A) =>  (r1_modelc_2(B, A) <=>  (B=k11_modelc_2(A) | B=k12_modelc_2(A)) ) ) ) ) ) ) ).
fof(t23_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (v5_modelc_2(A) =>  (r1_modelc_2(B, A) <=>  (B=k11_modelc_2(A) | B=k12_modelc_2(A)) ) ) ) ) ) ) ).
fof(t24_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (v7_modelc_2(A) =>  (r1_modelc_2(B, A) <=>  (B=k11_modelc_2(A) | B=k12_modelc_2(A)) ) ) ) ) ) ) ).
fof(t25_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (v8_modelc_2(A) =>  (r1_modelc_2(B, A) <=>  (B=k11_modelc_2(A) | B=k12_modelc_2(A)) ) ) ) ) ) ) ).
fof(t26_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  ~ ( (r1_modelc_2(B, A) &  ( ~ (v3_modelc_2(A))  &  ( ~ (v6_modelc_2(A))  &  ( ~ (v4_modelc_2(A))  &  ( ~ (v5_modelc_2(A))  &  ( ~ (v7_modelc_2(A))  &  ~ (v8_modelc_2(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d22_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (r2_modelc_2(A, B) <=>  (? [C] :  (v7_ordinal1(C) &  (? [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  &  (r1_xxreal_0(1, C) &  (k3_finseq_1(D)=C &  (k1_funct_1(D, 1)=A &  (k1_funct_1(D, C)=B &  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, E) &  ( ~ (r1_xxreal_0(C, E))  &  (! [F] :  ( (v1_modelc_2(F) & m2_finseq_1(F, k4_ordinal1))  =>  (! [G] :  ( (v1_modelc_2(G) & m2_finseq_1(G, k4_ordinal1))  =>  ~ ( (k1_funct_1(D, E)=F &  (k1_funct_1(D, k1_nat_1(E, 1))=G & r1_modelc_2(F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  => r2_modelc_2(A, A)) ) ).
fof(d23_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (r3_modelc_2(A, B) <=>  (r2_modelc_2(A, B) &  ~ (A=B) ) ) ) ) ) ) ).
fof(t28_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  ~ ( (r1_modelc_2(B, A) & r1_xxreal_0(k3_finseq_1(A), k3_finseq_1(B))) ) ) ) ) ) ).
fof(t29_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (r1_modelc_2(B, A) => r3_modelc_2(B, A)) ) ) ) ) ).
fof(t30_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  ( (v3_modelc_2(A) | v6_modelc_2(A))  => r2_modelc_2(k10_modelc_2(A), A)) ) ) ).
fof(t31_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  ( ~ ( ( ~ (v4_modelc_2(A))  &  ( ~ (v5_modelc_2(A))  &  ( ~ (v7_modelc_2(A))  &  ~ (v8_modelc_2(A)) ) ) ) )  =>  (r2_modelc_2(k11_modelc_2(A), A) & r2_modelc_2(k12_modelc_2(A), A)) ) ) ) ).
fof(t32_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  ~ ( (r3_modelc_2(B, A) & r1_xxreal_0(k3_finseq_1(A), k3_finseq_1(B))) ) ) ) ) ) ).
fof(t33_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  ~ ( (r3_modelc_2(B, A) &  (! [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  =>  ~ (r1_modelc_2(C, A)) ) ) ) ) ) ) ) ) ).
fof(t34_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  =>  ( (r3_modelc_2(A, B) & r3_modelc_2(B, C))  => r3_modelc_2(A, C)) ) ) ) ) ) ) ).
fof(t35_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  =>  ( (r2_modelc_2(A, B) & r2_modelc_2(B, C))  => r2_modelc_2(A, C)) ) ) ) ) ) ) ).
fof(t36_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  ( (r2_modelc_2(A, B) & r2_modelc_2(B, A))  => A=B) ) ) ) ) ).
fof(t37_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (r3_modelc_2(A, B) =>  ( ( ~ (v3_modelc_2(B))  &  ~ (v6_modelc_2(B)) )  | r2_modelc_2(A, k10_modelc_2(B))) ) ) ) ) ) ).
fof(t38_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  ~ ( ( ~ ( ( ~ (v4_modelc_2(B))  &  ( ~ (v5_modelc_2(B))  &  ( ~ (v7_modelc_2(B))  &  ~ (v8_modelc_2(B)) ) ) ) )  &  (r3_modelc_2(A, B) &  ( ~ (r2_modelc_2(A, k11_modelc_2(B)))  &  ~ (r2_modelc_2(A, k12_modelc_2(B))) ) ) ) ) ) ) ) ) ).
fof(t39_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (r3_modelc_2(A, k3_modelc_2(B)) => r2_modelc_2(A, B)) ) ) ) ) ).
fof(t40_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (r3_modelc_2(A, k6_modelc_2(B)) => r2_modelc_2(A, B)) ) ) ) ) ).
fof(t41_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  =>  ~ ( (r3_modelc_2(A, k4_modelc_2(B, C)) &  ( ~ (r2_modelc_2(A, B))  &  ~ (r2_modelc_2(A, C)) ) ) ) ) ) ) ) ) ) ).
fof(t42_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  =>  ~ ( (r3_modelc_2(A, k5_modelc_2(B, C)) &  ( ~ (r2_modelc_2(A, B))  &  ~ (r2_modelc_2(A, C)) ) ) ) ) ) ) ) ) ) ).
fof(t43_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  =>  ~ ( (r3_modelc_2(A, k7_modelc_2(B, C)) &  ( ~ (r2_modelc_2(A, B))  &  ~ (r2_modelc_2(A, C)) ) ) ) ) ) ) ) ) ) ).
fof(t44_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  =>  ~ ( (r3_modelc_2(A, k8_modelc_2(B, C)) &  ( ~ (r2_modelc_2(A, B))  &  ~ (r2_modelc_2(A, C)) ) ) ) ) ) ) ) ) ) ).
fof(d24_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (B=k13_modelc_2(A) <=>  (! [C] :  (r2_tarski(C, B) <=>  (? [D] :  ( (v1_modelc_2(D) & m2_finseq_1(D, k4_ordinal1))  &  (D=C & r2_modelc_2(D, A)) ) ) ) ) ) ) ) ) ).
fof(t45_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (r2_tarski(A, k13_modelc_2(B)) <=> r2_modelc_2(A, B)) ) ) ) ) ).
fof(t46_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (r2_modelc_2(A, B) => r1_tarski(k13_modelc_2(A), k13_modelc_2(B))) ) ) ) ) ).
fof(t47_modelc_2, axiom,  (! [A] :  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (m1_subset_1(A, k1_zfmisc_1(k13_modelc_2(B))) => m1_subset_1(A, k1_zfmisc_1(k9_modelc_2))) ) ) ) ).
fof(d25_modelc_2, axiom,  (! [A] :  ( (r2_hidden(A, k9_modelc_2) => k14_modelc_2(A)=A)  &  ( ~ (r2_hidden(A, k9_modelc_2))  => k14_modelc_2(A)=k2_modelc_2(k5_numbers)) ) ) ).
fof(d27_modelc_2, axiom,  (! [A] :  (l1_modelc_2(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k15_modelc_2, u1_modelc_2(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2, u1_modelc_2(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k9_modelc_2, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_modelc_2, u1_struct_0(A))))) )  =>  (r4_modelc_2(A, B, C) <=>  (! [D] :  ( (v1_modelc_2(D) & m2_finseq_1(D, k4_ordinal1))  =>  ( (v2_modelc_2(D) => k1_funct_1(C, D)=k1_funct_1(B, D))  &  ( (v3_modelc_2(D) => k1_funct_1(C, D)=k1_funct_1(u1_robbins1(A), k1_funct_1(C, k10_modelc_2(D))))  &  ( (v4_modelc_2(D) => k1_funct_1(C, D)=k1_binop_1(u1_lattices(A), k1_funct_1(C, k11_modelc_2(D)), k1_funct_1(C, k12_modelc_2(D))))  &  ( (v5_modelc_2(D) => k1_funct_1(C, D)=k1_binop_1(u2_lattices(A), k1_funct_1(C, k11_modelc_2(D)), k1_funct_1(C, k12_modelc_2(D))))  &  ( (v6_modelc_2(D) => k1_funct_1(C, D)=k1_funct_1(u2_modelc_2(A), k1_funct_1(C, k10_modelc_2(D))))  &  ( (v7_modelc_2(D) => k1_funct_1(C, D)=k1_binop_1(u3_modelc_2(A), k1_funct_1(C, k11_modelc_2(D)), k1_funct_1(C, k12_modelc_2(D))))  &  (v8_modelc_2(D) => k1_funct_1(C, D)=k1_binop_1(u4_modelc_2(A), k1_funct_1(C, k11_modelc_2(D)), k1_funct_1(C, k12_modelc_2(D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d28_modelc_2, axiom,  (! [A] :  (l1_modelc_2(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k15_modelc_2, u1_modelc_2(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2, u1_modelc_2(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k9_modelc_2, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_modelc_2, u1_struct_0(A))))) )  =>  (! [D] :  (v7_ordinal1(D) =>  (r5_modelc_2(A, B, C, D) <=>  (! [E] :  ( (v1_modelc_2(E) & m2_finseq_1(E, k4_ordinal1))  =>  (r1_xxreal_0(k3_finseq_1(E), D) =>  ( (v2_modelc_2(E) => k1_funct_1(C, E)=k1_funct_1(B, E))  &  ( (v3_modelc_2(E) => k1_funct_1(C, E)=k1_funct_1(u1_robbins1(A), k1_funct_1(C, k10_modelc_2(E))))  &  ( (v4_modelc_2(E) => k1_funct_1(C, E)=k1_binop_1(u1_lattices(A), k1_funct_1(C, k11_modelc_2(E)), k1_funct_1(C, k12_modelc_2(E))))  &  ( (v5_modelc_2(E) => k1_funct_1(C, E)=k1_binop_1(u2_lattices(A), k1_funct_1(C, k11_modelc_2(E)), k1_funct_1(C, k12_modelc_2(E))))  &  ( (v6_modelc_2(E) => k1_funct_1(C, E)=k1_funct_1(u2_modelc_2(A), k1_funct_1(C, k10_modelc_2(E))))  &  ( (v7_modelc_2(E) => k1_funct_1(C, E)=k1_binop_1(u3_modelc_2(A), k1_funct_1(C, k11_modelc_2(E)), k1_funct_1(C, k12_modelc_2(E))))  &  (v8_modelc_2(E) => k1_funct_1(C, E)=k1_binop_1(u4_modelc_2(A), k1_funct_1(C, k11_modelc_2(E)), k1_funct_1(C, k12_modelc_2(E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d29_modelc_2, axiom,  (! [A] :  (l1_modelc_2(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k15_modelc_2, u1_modelc_2(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2, u1_modelc_2(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k9_modelc_2, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_modelc_2, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k9_modelc_2, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k9_modelc_2, u1_struct_0(A))))) )  =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( (v1_modelc_2(F) & m2_finseq_1(F, k4_ordinal1))  =>  ( ( ~ (r1_xxreal_0(k3_finseq_1(F), k1_nat_1(E, 1)))  => k16_modelc_2(A, B, C, D, E, F)=k1_funct_1(C, F))  &  ( ( (k3_finseq_1(F)=k1_nat_1(E, 1) & v2_modelc_2(F))  => k16_modelc_2(A, B, C, D, E, F)=k1_funct_1(B, F))  &  ( ( (k3_finseq_1(F)=k1_nat_1(E, 1) & v3_modelc_2(F))  => k16_modelc_2(A, B, C, D, E, F)=k1_funct_1(u1_robbins1(A), k1_funct_1(D, k10_modelc_2(F))))  &  ( ( (k3_finseq_1(F)=k1_nat_1(E, 1) & v4_modelc_2(F))  => k16_modelc_2(A, B, C, D, E, F)=k1_binop_1(u1_lattices(A), k1_funct_1(D, k11_modelc_2(F)), k1_funct_1(D, k12_modelc_2(F))))  &  ( ( (k3_finseq_1(F)=k1_nat_1(E, 1) & v5_modelc_2(F))  => k16_modelc_2(A, B, C, D, E, F)=k1_binop_1(u2_lattices(A), k1_funct_1(D, k11_modelc_2(F)), k1_funct_1(D, k12_modelc_2(F))))  &  ( ( (k3_finseq_1(F)=k1_nat_1(E, 1) & v6_modelc_2(F))  => k16_modelc_2(A, B, C, D, E, F)=k1_funct_1(u2_modelc_2(A), k1_funct_1(D, k10_modelc_2(F))))  &  ( ( (k3_finseq_1(F)=k1_nat_1(E, 1) & v7_modelc_2(F))  => k16_modelc_2(A, B, C, D, E, F)=k1_binop_1(u3_modelc_2(A), k1_funct_1(D, k11_modelc_2(F)), k1_funct_1(D, k12_modelc_2(F))))  &  ( ( (k3_finseq_1(F)=k1_nat_1(E, 1) & v8_modelc_2(F))  => k16_modelc_2(A, B, C, D, E, F)=k1_binop_1(u4_modelc_2(A), k1_funct_1(D, k11_modelc_2(F)), k1_funct_1(D, k12_modelc_2(F))))  &  ( ( ~ (r1_xxreal_0(k1_nat_1(E, 1), k3_finseq_1(F)))  => k16_modelc_2(A, B, C, D, E, F)=k1_funct_1(D, F))  &  ( (r1_xxreal_0(k3_finseq_1(F), k1_nat_1(E, 1)) & r1_xxreal_0(k1_nat_1(E, 1), k3_finseq_1(F)))  =>  ( (k3_finseq_1(F)=k1_nat_1(E, 1) & v2_modelc_2(F))  |  ( (k3_finseq_1(F)=k1_nat_1(E, 1) & v3_modelc_2(F))  |  ( (k3_finseq_1(F)=k1_nat_1(E, 1) & v4_modelc_2(F))  |  ( (k3_finseq_1(F)=k1_nat_1(E, 1) & v5_modelc_2(F))  |  ( (k3_finseq_1(F)=k1_nat_1(E, 1) & v6_modelc_2(F))  |  ( (k3_finseq_1(F)=k1_nat_1(E, 1) & v7_modelc_2(F))  |  ( (k3_finseq_1(F)=k1_nat_1(E, 1) & v8_modelc_2(F))  | k16_modelc_2(A, B, C, D, E, F)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d30_modelc_2, axiom,  (! [A] :  (l1_modelc_2(A) =>  (v10_modelc_2(A) <=>  ~ (v1_xboole_0(u1_modelc_2(A))) ) ) ) ).
fof(d31_modelc_2, axiom, k17_modelc_2=g1_modelc_2(k1_tarski(k5_numbers), k2_subset_1(k1_tarski(k5_numbers)), k9_funct_5, k9_funct_5, k8_funct_5, k8_funct_5, k9_funct_5, k9_funct_5)).
fof(d33_modelc_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_modelc_2(A) & l1_modelc_2(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (r2_tarski(C, k9_funct_2(k9_modelc_2, u1_struct_0(A))) => k19_modelc_2(A, B, C)=C)  &  ( ~ (r2_tarski(C, k9_funct_2(k9_modelc_2, u1_struct_0(A))))  => k19_modelc_2(A, B, C)=k8_funcop_1(u1_struct_0(A), k9_modelc_2, B)) ) ) ) ) ) ) ).
fof(d34_modelc_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_modelc_2(A) & l1_modelc_2(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k15_modelc_2, u1_modelc_2(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2, u1_modelc_2(A))))) )  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (C=k20_modelc_2(A, B) <=>  (! [D] :  (r2_tarski(D, C) <=>  (r2_tarski(D, k1_zfmisc_1(k9_funct_2(k9_modelc_2, u1_struct_0(A)))) &  (? [E] :  (v7_ordinal1(E) & D=k18_modelc_2(A, B, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_modelc_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_modelc_2(A) & l1_modelc_2(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k15_modelc_2, u1_modelc_2(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2, u1_modelc_2(A))))) )  =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k9_modelc_2, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_modelc_2, u1_struct_0(A))))) )  & r4_modelc_2(A, B, C)) ) ) ) ) ) ).
fof(t49_modelc_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_modelc_2(A) & l1_modelc_2(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k15_modelc_2, u1_modelc_2(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2, u1_modelc_2(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k9_modelc_2, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_modelc_2, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k9_modelc_2, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k9_modelc_2, u1_struct_0(A))))) )  =>  ( (r4_modelc_2(A, B, C) & r4_modelc_2(A, B, D))  => r2_funct_2(k9_modelc_2, u1_struct_0(A), C, D)) ) ) ) ) ) ) ) ) ).
fof(d35_modelc_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_modelc_2(A) & l1_modelc_2(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k15_modelc_2, u1_modelc_2(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2, u1_modelc_2(A))))) )  =>  (! [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (D=k21_modelc_2(A, B, C) <=>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k9_modelc_2, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k9_modelc_2, u1_struct_0(A))))) )  &  (r4_modelc_2(A, B, E) & D=k1_funct_1(E, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d36_modelc_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_modelc_2(A) & l1_modelc_2(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k22_modelc_2(A, B)=k3_funct_2(u1_struct_0(A), u1_struct_0(A), u2_modelc_2(A), B)) ) ) ) ).
fof(d37_modelc_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_modelc_2(A) & l1_modelc_2(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k23_modelc_2(A, B, C)=k4_binop_1(u1_struct_0(A), u3_modelc_2(A), B, C)) ) ) ) ) ) ).
fof(d38_modelc_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_modelc_2(A) & l1_modelc_2(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k24_modelc_2(A, B, C)=k4_binop_1(u1_struct_0(A), u4_modelc_2(A), B, C)) ) ) ) ) ) ).
fof(t50_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_modelc_2(B) & l1_modelc_2(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_modelc_2, u1_modelc_2(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2, u1_modelc_2(B))))) )  => k21_modelc_2(B, C, k3_modelc_2(A))=k3_robbins1(B, k21_modelc_2(B, C, A))) ) ) ) ) ) ).
fof(t51_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v10_modelc_2(C) & l1_modelc_2(C)) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_modelc_2, u1_modelc_2(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2, u1_modelc_2(C))))) )  => k21_modelc_2(C, D, k4_modelc_2(A, B))=k2_lattices(C, k21_modelc_2(C, D, A), k21_modelc_2(C, D, B))) ) ) ) ) ) ) ) ).
fof(t52_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v10_modelc_2(C) & l1_modelc_2(C)) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_modelc_2, u1_modelc_2(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2, u1_modelc_2(C))))) )  => k21_modelc_2(C, D, k5_modelc_2(A, B))=k1_lattices(C, k21_modelc_2(C, D, A), k21_modelc_2(C, D, B))) ) ) ) ) ) ) ) ).
fof(t53_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_modelc_2(B) & l1_modelc_2(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_modelc_2, u1_modelc_2(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2, u1_modelc_2(B))))) )  => k21_modelc_2(B, C, k6_modelc_2(A))=k22_modelc_2(B, k21_modelc_2(B, C, A))) ) ) ) ) ) ).
fof(t54_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v10_modelc_2(C) & l1_modelc_2(C)) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_modelc_2, u1_modelc_2(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2, u1_modelc_2(C))))) )  => k21_modelc_2(C, D, k7_modelc_2(A, B))=k23_modelc_2(C, k21_modelc_2(C, D, A), k21_modelc_2(C, D, B))) ) ) ) ) ) ) ) ).
fof(t55_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v10_modelc_2(C) & l1_modelc_2(C)) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_modelc_2, u1_modelc_2(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2, u1_modelc_2(C))))) )  => k21_modelc_2(C, D, k8_modelc_2(A, B))=k24_modelc_2(C, k21_modelc_2(C, D, A), k21_modelc_2(C, D, B))) ) ) ) ) ) ) ) ).
fof(d39_modelc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k25_modelc_2(A)=k9_funct_2(k4_ordinal1, A)) ) ).
fof(d40_modelc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  => k26_modelc_2(A, B)=B) ) ) ) ).
fof(d41_modelc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k25_modelc_2(A)) => k27_modelc_2(A, B)=B) ) ) ) ).
fof(d42_modelc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (v7_ordinal1(C) => k28_modelc_2(A, B, C)=k26_modelc_2(A, k7_nat_1(A, k27_modelc_2(A, B), C))) ) ) ) ) ).
fof(d43_modelc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k25_modelc_2(A)) =>  (! [C] :  (v7_ordinal1(C) => k29_modelc_2(A, B, C)=k28_modelc_2(A, B, C)) ) ) ) ) ) ).
fof(d44_modelc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (m1_subset_1(C, k30_modelc_1(k25_modelc_2(A))) =>  (C=k30_modelc_2(A, B) <=>  (! [D] :  (r2_tarski(D, k25_modelc_2(A)) =>  (k3_xboolean(k4_modelc_1(k1_funct_1(k31_modelc_1(k25_modelc_2(A), B), D)))=k7_margrel1 <=> k1_funct_1(k31_modelc_1(k25_modelc_2(A), C), D)=k7_margrel1) ) ) ) ) ) ) ) ) ).
fof(d45_modelc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k30_modelc_1(k25_modelc_2(A)), k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)), k30_modelc_1(k25_modelc_2(A)))))) )  =>  (B=k31_modelc_2(A) <=>  (! [C] :  (r2_hidden(C, k30_modelc_1(k25_modelc_2(A))) => k1_funct_1(B, C)=k30_modelc_2(A, C)) ) ) ) ) ) ) ).
fof(d46_modelc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k25_modelc_2(A), k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k25_modelc_2(A), k5_margrel1)))) )  =>  (! [C] :  ( ( (m1_subset_1(C, k25_modelc_2(A)) & k3_funct_2(k25_modelc_2(A), k5_margrel1, B, k28_modelc_2(A, C, 1))=k7_margrel1)  => k32_modelc_2(A, B, C)=k7_margrel1)  &  ( ~ ( (m1_subset_1(C, k25_modelc_2(A)) & k3_funct_2(k25_modelc_2(A), k5_margrel1, B, k28_modelc_2(A, C, 1))=k7_margrel1) )  => k32_modelc_2(A, B, C)=k6_margrel1) ) ) ) ) ) ) ).
fof(d47_modelc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (m1_subset_1(C, k30_modelc_1(k25_modelc_2(A))) =>  (C=k33_modelc_2(A, B) <=>  (! [D] :  (r2_tarski(D, k25_modelc_2(A)) =>  (k32_modelc_2(A, k31_modelc_1(k25_modelc_2(A), B), D)=k7_margrel1 <=> k1_funct_1(k31_modelc_1(k25_modelc_2(A), C), D)=k7_margrel1) ) ) ) ) ) ) ) ) ).
fof(d48_modelc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k30_modelc_1(k25_modelc_2(A)), k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)), k30_modelc_1(k25_modelc_2(A)))))) )  =>  (B=k34_modelc_2(A) <=>  (! [C] :  (r2_hidden(C, k30_modelc_1(k25_modelc_2(A))) => k1_funct_1(B, C)=k33_modelc_2(A, C)) ) ) ) ) ) ) ).
fof(d49_modelc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k30_modelc_1(k25_modelc_2(A))) =>  (D=k35_modelc_2(A, B, C) <=>  (! [E] :  (r2_tarski(E, k25_modelc_2(A)) =>  (k4_xboolean(k4_modelc_1(k1_funct_1(k31_modelc_1(k25_modelc_2(A), B), E)), k4_modelc_1(k1_funct_1(k31_modelc_1(k25_modelc_2(A), C), E)))=k7_margrel1 <=> k1_funct_1(k31_modelc_1(k25_modelc_2(A), D), E)=k7_margrel1) ) ) ) ) ) ) ) ) ) ).
fof(d50_modelc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)), k30_modelc_1(k25_modelc_2(A))), k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)), k30_modelc_1(k25_modelc_2(A))), k30_modelc_1(k25_modelc_2(A)))))) )  =>  (B=k36_modelc_2(A) <=>  (! [C] :  (! [D] :  ( (r2_tarski(C, k30_modelc_1(k25_modelc_2(A))) & r2_tarski(D, k30_modelc_1(k25_modelc_2(A))))  => k1_binop_1(B, C, D)=k35_modelc_2(A, C, D)) ) ) ) ) ) ) ) ).
fof(d51_modelc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k25_modelc_2(A), k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k25_modelc_2(A), k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k25_modelc_2(A), k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k25_modelc_2(A), k5_margrel1)))) )  =>  (! [D] :  ( (m1_subset_1(D, k25_modelc_2(A)) =>  ( (! [E] :  (v7_ordinal1(E) =>  ~ ( ( (! [F] :  (v7_ordinal1(F) =>  ( ~ (r1_xxreal_0(E, F))  => k3_funct_2(k25_modelc_2(A), k5_margrel1, B, k28_modelc_2(A, D, F))=k7_margrel1) ) )  & k3_funct_2(k25_modelc_2(A), k5_margrel1, C, k28_modelc_2(A, D, E))=k7_margrel1) ) ) )  | k37_modelc_2(A, B, C, D)=k7_margrel1) )  &  ( ~ ( (m1_subset_1(D, k25_modelc_2(A)) &  (? [E] :  (v7_ordinal1(E) &  ( (! [F] :  (v7_ordinal1(F) =>  ( ~ (r1_xxreal_0(E, F))  => k3_funct_2(k25_modelc_2(A), k5_margrel1, B, k28_modelc_2(A, D, F))=k7_margrel1) ) )  & k3_funct_2(k25_modelc_2(A), k5_margrel1, C, k28_modelc_2(A, D, E))=k7_margrel1) ) ) ) )  => k37_modelc_2(A, B, C, D)=k6_margrel1) ) ) ) ) ) ) ) ) ).
fof(d52_modelc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k30_modelc_1(k25_modelc_2(A))) =>  (D=k38_modelc_2(A, B, C) <=>  (! [E] :  (r2_tarski(E, k25_modelc_2(A)) =>  (k37_modelc_2(A, k31_modelc_1(k25_modelc_2(A), B), k31_modelc_1(k25_modelc_2(A), C), E)=k7_margrel1 <=> k1_funct_1(k31_modelc_1(k25_modelc_2(A), D), E)=k7_margrel1) ) ) ) ) ) ) ) ) ) ).
fof(d53_modelc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)), k30_modelc_1(k25_modelc_2(A))), k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)), k30_modelc_1(k25_modelc_2(A))), k30_modelc_1(k25_modelc_2(A)))))) )  =>  (B=k39_modelc_2(A) <=>  (! [C] :  (! [D] :  ( (r2_tarski(C, k30_modelc_1(k25_modelc_2(A))) & r2_tarski(D, k30_modelc_1(k25_modelc_2(A))))  => k1_binop_1(B, C, D)=k38_modelc_2(A, C, D)) ) ) ) ) ) ) ) ).
fof(d54_modelc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)), k30_modelc_1(k25_modelc_2(A))), k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)), k30_modelc_1(k25_modelc_2(A))), k30_modelc_1(k25_modelc_2(A)))))) )  =>  (B=k40_modelc_2(A) <=>  (! [C] :  (! [D] :  ( (r2_tarski(C, k30_modelc_1(k25_modelc_2(A))) & r2_tarski(D, k30_modelc_1(k25_modelc_2(A))))  => k1_binop_1(B, C, D)=k1_funct_1(k31_modelc_2(A), k1_binop_1(k36_modelc_2(A), k1_funct_1(k31_modelc_2(A), C), k1_funct_1(k31_modelc_2(A), D)))) ) ) ) ) ) ) ) ).
fof(d55_modelc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)), k30_modelc_1(k25_modelc_2(A))), k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)), k30_modelc_1(k25_modelc_2(A))), k30_modelc_1(k25_modelc_2(A)))))) )  =>  (B=k41_modelc_2(A) <=>  (! [C] :  (! [D] :  ( (r2_tarski(C, k30_modelc_1(k25_modelc_2(A))) & r2_tarski(D, k30_modelc_1(k25_modelc_2(A))))  => k1_binop_1(B, C, D)=k1_funct_1(k31_modelc_2(A), k1_binop_1(k39_modelc_2(A), k1_funct_1(k31_modelc_2(A), C), k1_funct_1(k31_modelc_2(A), D)))) ) ) ) ) ) ) ) ).
fof(d56_modelc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k30_modelc_1(k25_modelc_2(A)))))  => k42_modelc_2(A, B)=g1_modelc_2(k30_modelc_1(k25_modelc_2(A)), B, k36_modelc_2(A), k40_modelc_2(A), k31_modelc_2(A), k34_modelc_2(A), k39_modelc_2(A), k41_modelc_2(A))) ) ) ) ).
fof(d57_modelc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k30_modelc_1(k25_modelc_2(A)))))  =>  (! [C] :  (m1_subset_1(C, k25_modelc_2(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k42_modelc_2(A, B))) =>  (r6_modelc_2(A, B, C, D) <=> k3_funct_2(k25_modelc_2(A), k5_margrel1, k31_modelc_1(k25_modelc_2(A), D), C)=k7_margrel1) ) ) ) ) ) ) ) ) ).
fof(t56_modelc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k30_modelc_1(k25_modelc_2(A)))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k42_modelc_2(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k42_modelc_2(A, B))) =>  (k1_lattices(k42_modelc_2(A, B), C, D)=k3_robbins1(k42_modelc_2(A, B), k2_lattices(k42_modelc_2(A, B), k3_robbins1(k42_modelc_2(A, B), C), k3_robbins1(k42_modelc_2(A, B), D))) & k24_modelc_2(k42_modelc_2(A, B), C, D)=k3_robbins1(k42_modelc_2(A, B), k23_modelc_2(k42_modelc_2(A, B), k3_robbins1(k42_modelc_2(A, B), C), k3_robbins1(k42_modelc_2(A, B), D)))) ) ) ) ) ) ) ) ) ).
fof(t57_modelc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k30_modelc_1(k25_modelc_2(A)))))  =>  (! [C] :  (m1_subset_1(C, k25_modelc_2(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k42_modelc_2(A, B))) =>  (r6_modelc_2(A, B, C, k3_robbins1(k42_modelc_2(A, B), D)) <=>  ~ (r6_modelc_2(A, B, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t58_modelc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k30_modelc_1(k25_modelc_2(A)))))  =>  (! [C] :  (m1_subset_1(C, k25_modelc_2(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k42_modelc_2(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k42_modelc_2(A, B))) =>  (r6_modelc_2(A, B, C, k2_lattices(k42_modelc_2(A, B), D, E)) <=>  (r6_modelc_2(A, B, C, D) & r6_modelc_2(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_modelc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k30_modelc_1(k25_modelc_2(A)))))  =>  (! [C] :  (m1_subset_1(C, k25_modelc_2(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k42_modelc_2(A, B))) =>  (r6_modelc_2(A, B, C, k22_modelc_2(k42_modelc_2(A, B), D)) <=> r6_modelc_2(A, B, k29_modelc_2(A, C, 1), D)) ) ) ) ) ) ) ) ) ).
fof(t60_modelc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k30_modelc_1(k25_modelc_2(A)))))  =>  (! [C] :  (m1_subset_1(C, k25_modelc_2(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k42_modelc_2(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k42_modelc_2(A, B))) =>  (r6_modelc_2(A, B, C, k23_modelc_2(k42_modelc_2(A, B), D, E)) <=>  (? [F] :  (v7_ordinal1(F) &  ( (! [G] :  (v7_ordinal1(G) =>  ( ~ (r1_xxreal_0(F, G))  => r6_modelc_2(A, B, k29_modelc_2(A, C, G), D)) ) )  & r6_modelc_2(A, B, k29_modelc_2(A, C, F), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_modelc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k30_modelc_1(k25_modelc_2(A)))))  =>  (! [C] :  (m1_subset_1(C, k25_modelc_2(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k42_modelc_2(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k42_modelc_2(A, B))) =>  (r6_modelc_2(A, B, C, k1_lattices(k42_modelc_2(A, B), D, E)) <=>  (r6_modelc_2(A, B, C, D) | r6_modelc_2(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_modelc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k30_modelc_1(k25_modelc_2(A)))))  =>  (! [C] :  (m1_subset_1(C, k25_modelc_2(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k42_modelc_2(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k42_modelc_2(A, B))) =>  (r6_modelc_2(A, B, C, k24_modelc_2(k42_modelc_2(A, B), D, E)) <=>  (! [F] :  (v7_ordinal1(F) =>  ( (! [G] :  (v7_ordinal1(G) =>  ( ~ (r1_xxreal_0(F, G))  => r6_modelc_2(A, B, k29_modelc_2(A, C, G), k3_robbins1(k42_modelc_2(A, B), D))) ) )  => r6_modelc_2(A, B, k29_modelc_2(A, C, F), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d58_modelc_2, axiom, k43_modelc_2=k1_zfmisc_1(k15_modelc_2)).
fof(d59_modelc_2, axiom,  (! [A] :  (! [B] :  ( ( (r2_hidden(B, k25_modelc_2(k43_modelc_2)) & r2_hidden(A, k8_nat_1(k43_modelc_2, k27_modelc_2(k43_modelc_2, B), k5_numbers)))  => k44_modelc_2(A, B)=k7_margrel1)  &  ( ~ ( (r2_hidden(B, k25_modelc_2(k43_modelc_2)) & r2_hidden(A, k8_nat_1(k43_modelc_2, k27_modelc_2(k43_modelc_2, B), k5_numbers))) )  => k44_modelc_2(A, B)=k6_margrel1) ) ) ) ).
fof(d60_modelc_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k30_modelc_1(k25_modelc_2(k43_modelc_2))) =>  (B=k45_modelc_2(A) <=>  (! [C] :  (r2_tarski(C, k25_modelc_2(k43_modelc_2)) => k1_funct_1(k31_modelc_1(k25_modelc_2(k43_modelc_2), B), C)=k44_modelc_2(A, C)) ) ) ) ) ) ).
fof(d62_modelc_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k15_modelc_2, u1_modelc_2(k42_modelc_2(k43_modelc_2, k46_modelc_2))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2, u1_modelc_2(k42_modelc_2(k43_modelc_2, k46_modelc_2)))))) )  =>  (A=k47_modelc_2 <=>  (! [B] :  (r2_tarski(B, k15_modelc_2) => k1_funct_1(A, B)=k45_modelc_2(B)) ) ) ) ) ).
fof(d63_modelc_2, axiom,  (! [A] :  (m1_subset_1(A, k25_modelc_2(k43_modelc_2)) =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (r7_modelc_2(A, B) <=> r6_modelc_2(k43_modelc_2, k46_modelc_2, A, k21_modelc_2(k42_modelc_2(k43_modelc_2, k46_modelc_2), k47_modelc_2, B))) ) ) ) ) ).
fof(d64_modelc_2, axiom,  (! [A] :  (m1_subset_1(A, k25_modelc_2(k43_modelc_2)) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k9_modelc_2)) =>  (r8_modelc_2(A, B) <=>  (! [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  =>  (r2_tarski(C, B) => r7_modelc_2(A, C)) ) ) ) ) ) ) ) ).
fof(t63_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k25_modelc_2(k43_modelc_2)) =>  (v2_modelc_2(A) =>  (r7_modelc_2(B, A) <=> r2_tarski(A, k8_nat_1(k43_modelc_2, k27_modelc_2(k43_modelc_2, B), k5_numbers))) ) ) ) ) ) ).
fof(t64_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k25_modelc_2(k43_modelc_2)) =>  (r7_modelc_2(B, k3_modelc_2(A)) <=>  ~ (r7_modelc_2(B, A)) ) ) ) ) ) ).
fof(t65_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  (m1_subset_1(C, k25_modelc_2(k43_modelc_2)) =>  (r7_modelc_2(C, k4_modelc_2(A, B)) <=>  (r7_modelc_2(C, A) & r7_modelc_2(C, B)) ) ) ) ) ) ) ) ).
fof(t66_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  (m1_subset_1(C, k25_modelc_2(k43_modelc_2)) =>  (r7_modelc_2(C, k5_modelc_2(A, B)) <=>  (r7_modelc_2(C, A) | r7_modelc_2(C, B)) ) ) ) ) ) ) ) ).
fof(t67_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k25_modelc_2(k43_modelc_2)) =>  (r7_modelc_2(B, k6_modelc_2(A)) <=> r7_modelc_2(k29_modelc_2(k43_modelc_2, B, 1), A)) ) ) ) ) ).
fof(t68_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  (m1_subset_1(C, k25_modelc_2(k43_modelc_2)) =>  (r7_modelc_2(C, k7_modelc_2(A, B)) <=>  (? [D] :  (v7_ordinal1(D) &  ( (! [E] :  (v7_ordinal1(E) =>  ( ~ (r1_xxreal_0(D, E))  => r7_modelc_2(k29_modelc_2(k43_modelc_2, C, E), A)) ) )  & r7_modelc_2(k29_modelc_2(k43_modelc_2, C, D), B)) ) ) ) ) ) ) ) ) ) ).
fof(t69_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  (m1_subset_1(C, k25_modelc_2(k43_modelc_2)) =>  (r7_modelc_2(C, k8_modelc_2(A, B)) <=>  (! [D] :  (v7_ordinal1(D) =>  ( (! [E] :  (v7_ordinal1(E) =>  ( ~ (r1_xxreal_0(D, E))  => r7_modelc_2(k29_modelc_2(k43_modelc_2, C, E), k3_modelc_2(A))) ) )  => r7_modelc_2(k29_modelc_2(k43_modelc_2, C, D), B)) ) ) ) ) ) ) ) ) ) ).
fof(t70_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  (m1_subset_1(C, k25_modelc_2(k43_modelc_2)) =>  (r7_modelc_2(C, k3_modelc_2(k5_modelc_2(A, B))) <=> r7_modelc_2(C, k4_modelc_2(k3_modelc_2(A), k3_modelc_2(B)))) ) ) ) ) ) ) ).
fof(t71_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  (m1_subset_1(C, k25_modelc_2(k43_modelc_2)) =>  (r7_modelc_2(C, k3_modelc_2(k4_modelc_2(A, B))) <=> r7_modelc_2(C, k5_modelc_2(k3_modelc_2(A), k3_modelc_2(B)))) ) ) ) ) ) ) ).
fof(t72_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  (m1_subset_1(C, k25_modelc_2(k43_modelc_2)) =>  (r7_modelc_2(C, k8_modelc_2(A, B)) <=> r7_modelc_2(C, k3_modelc_2(k7_modelc_2(k3_modelc_2(A), k3_modelc_2(B))))) ) ) ) ) ) ) ).
fof(t73_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k25_modelc_2(k43_modelc_2)) =>  ( ~ (r7_modelc_2(B, k3_modelc_2(A)))  <=> r7_modelc_2(B, A)) ) ) ) ) ).
fof(t74_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k25_modelc_2(k43_modelc_2)) =>  (r7_modelc_2(B, k6_modelc_2(k3_modelc_2(A))) <=> r7_modelc_2(B, k3_modelc_2(k6_modelc_2(A)))) ) ) ) ) ).
fof(t75_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  (m1_subset_1(C, k25_modelc_2(k43_modelc_2)) =>  (r7_modelc_2(C, k7_modelc_2(A, B)) <=> r7_modelc_2(C, k5_modelc_2(B, k4_modelc_2(A, k6_modelc_2(k7_modelc_2(A, B)))))) ) ) ) ) ) ) ).
fof(t76_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  (m1_subset_1(C, k25_modelc_2(k43_modelc_2)) =>  (r7_modelc_2(C, k8_modelc_2(A, B)) <=> r7_modelc_2(C, k5_modelc_2(k4_modelc_2(A, B), k4_modelc_2(B, k6_modelc_2(k8_modelc_2(A, B)))))) ) ) ) ) ) ) ).
fof(t77_modelc_2, axiom,  (! [A] :  (m1_subset_1(A, k25_modelc_2(k43_modelc_2)) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k9_modelc_2)) =>  (r8_modelc_2(A, k48_modelc_2(B)) <=> r8_modelc_2(k29_modelc_2(k43_modelc_2, A, 1), B)) ) ) ) ) ).
fof(t78_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  ( (v2_modelc_2(A) =>  ( ~ (v3_modelc_2(A))  &  ( ~ (v4_modelc_2(A))  &  ( ~ (v5_modelc_2(A))  &  ( ~ (v6_modelc_2(A))  &  ( ~ (v7_modelc_2(A))  &  ~ (v8_modelc_2(A)) ) ) ) ) ) )  &  ( (v3_modelc_2(A) =>  ( ~ (v2_modelc_2(A))  &  ( ~ (v4_modelc_2(A))  &  ( ~ (v5_modelc_2(A))  &  ( ~ (v6_modelc_2(A))  &  ( ~ (v7_modelc_2(A))  &  ~ (v8_modelc_2(A)) ) ) ) ) ) )  &  ( (v4_modelc_2(A) =>  ( ~ (v2_modelc_2(A))  &  ( ~ (v3_modelc_2(A))  &  ( ~ (v5_modelc_2(A))  &  ( ~ (v6_modelc_2(A))  &  ( ~ (v7_modelc_2(A))  &  ~ (v8_modelc_2(A)) ) ) ) ) ) )  &  ( (v5_modelc_2(A) =>  ( ~ (v2_modelc_2(A))  &  ( ~ (v3_modelc_2(A))  &  ( ~ (v4_modelc_2(A))  &  ( ~ (v6_modelc_2(A))  &  ( ~ (v7_modelc_2(A))  &  ~ (v8_modelc_2(A)) ) ) ) ) ) )  &  ( (v6_modelc_2(A) =>  ( ~ (v2_modelc_2(A))  &  ( ~ (v3_modelc_2(A))  &  ( ~ (v4_modelc_2(A))  &  ( ~ (v5_modelc_2(A))  &  ( ~ (v7_modelc_2(A))  &  ~ (v8_modelc_2(A)) ) ) ) ) ) )  &  ( (v7_modelc_2(A) =>  ( ~ (v2_modelc_2(A))  &  ( ~ (v3_modelc_2(A))  &  ( ~ (v4_modelc_2(A))  &  ( ~ (v5_modelc_2(A))  &  ( ~ (v6_modelc_2(A))  &  ~ (v8_modelc_2(A)) ) ) ) ) ) )  &  (v8_modelc_2(A) =>  ( ~ (v2_modelc_2(A))  &  ( ~ (v3_modelc_2(A))  &  ( ~ (v4_modelc_2(A))  &  ( ~ (v5_modelc_2(A))  &  ( ~ (v6_modelc_2(A))  &  ~ (v7_modelc_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t79_modelc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k25_modelc_2(A)) => k29_modelc_2(A, B, k5_numbers)=B) ) ) ) ).
fof(t80_modelc_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k25_modelc_2(C)) => k29_modelc_2(C, k29_modelc_2(C, D, A), B)=k29_modelc_2(C, D, k2_xcmplx_0(B, A))) ) ) ) ) ) ) ) ).
fof(t81_modelc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  => r2_funct_2(k4_ordinal1, A, k27_modelc_2(A, k26_modelc_2(A, B)), B)) ) ) ) ).
fof(t82_modelc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k25_modelc_2(A)) => k26_modelc_2(A, k27_modelc_2(A, B))=B) ) ) ) ).
fof(t83_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k25_modelc_2(k43_modelc_2)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_modelc_2)) =>  ~ ( (r2_tarski(A, C) &  (r2_tarski(k3_modelc_2(A), C) & r8_modelc_2(B, C)) ) ) ) ) ) ) ) ) ).
fof(s1_modelc_2, axiom,  ( ( (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (v2_modelc_2(A) => p1_s1_modelc_2(A)) ) )  &  ( (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (p1_s1_modelc_2(k10_modelc_2(A)) =>  ( ( ~ (v3_modelc_2(A))  &  ~ (v6_modelc_2(A)) )  | p1_s1_modelc_2(A)) ) ) )  &  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  ( (p1_s1_modelc_2(k11_modelc_2(A)) & p1_s1_modelc_2(k12_modelc_2(A)))  =>  ( ( ~ (v4_modelc_2(A))  &  ( ~ (v5_modelc_2(A))  &  ( ~ (v7_modelc_2(A))  &  ~ (v8_modelc_2(A)) ) ) )  | p1_s1_modelc_2(A)) ) ) ) ) )  =>  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  => p1_s1_modelc_2(A)) ) ) ).
fof(s2_modelc_2, axiom,  ( (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  ( (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (r3_modelc_2(B, A) => p1_s2_modelc_2(B)) ) )  => p1_s2_modelc_2(A)) ) )  =>  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  => p1_s2_modelc_2(A)) ) ) ).
fof(dt_k1_modelc_2, axiom,  (! [A] : v7_ordinal1(k1_modelc_2(A))) ).
fof(dt_k2_modelc_2, axiom,  (! [A] :  (v7_ordinal1(A) => m2_finseq_1(k2_modelc_2(A), k4_ordinal1)) ) ).
fof(dt_k3_modelc_2, axiom,  (! [A] :  (m1_finseq_1(A, k4_ordinal1) => m2_finseq_1(k3_modelc_2(A), k4_ordinal1)) ) ).
fof(dt_k4_modelc_2, axiom,  (! [A, B] :  ( (m1_finseq_1(A, k4_ordinal1) & m1_finseq_1(B, k4_ordinal1))  => m2_finseq_1(k4_modelc_2(A, B), k4_ordinal1)) ) ).
fof(dt_k5_modelc_2, axiom,  (! [A, B] :  ( (m1_finseq_1(A, k4_ordinal1) & m1_finseq_1(B, k4_ordinal1))  => m2_finseq_1(k5_modelc_2(A, B), k4_ordinal1)) ) ).
fof(dt_k6_modelc_2, axiom,  (! [A] :  (m1_finseq_1(A, k4_ordinal1) => m2_finseq_1(k6_modelc_2(A), k4_ordinal1)) ) ).
fof(dt_k7_modelc_2, axiom,  (! [A, B] :  ( (m1_finseq_1(A, k4_ordinal1) & m1_finseq_1(B, k4_ordinal1))  => m2_finseq_1(k7_modelc_2(A, B), k4_ordinal1)) ) ).
fof(dt_k8_modelc_2, axiom,  (! [A, B] :  ( (m1_finseq_1(A, k4_ordinal1) & m1_finseq_1(B, k4_ordinal1))  => m2_finseq_1(k8_modelc_2(A, B), k4_ordinal1)) ) ).
fof(dt_k9_modelc_2, axiom,  ~ (v1_xboole_0(k9_modelc_2)) ).
fof(dt_k10_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  =>  (v1_modelc_2(k10_modelc_2(A)) & m2_finseq_1(k10_modelc_2(A), k4_ordinal1)) ) ) ).
fof(dt_k11_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  =>  (v1_modelc_2(k11_modelc_2(A)) & m2_finseq_1(k11_modelc_2(A), k4_ordinal1)) ) ) ).
fof(dt_k12_modelc_2, axiom,  (! [A] :  ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  =>  (v1_modelc_2(k12_modelc_2(A)) & m2_finseq_1(k12_modelc_2(A), k4_ordinal1)) ) ) ).
fof(reflexivity_r2_modelc_2, axiom,  (! [A, B] :  ( ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  &  (v1_modelc_2(B) & m1_finseq_1(B, k4_ordinal1)) )  => r2_modelc_2(A, A)) ) ).
fof(irreflexivity_r3_modelc_2, axiom,  (! [A, B] :  ( ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  &  (v1_modelc_2(B) & m1_finseq_1(B, k4_ordinal1)) )  =>  ~ (r3_modelc_2(A, A)) ) ) ).
fof(dt_k14_modelc_2, axiom,  (! [A] :  (v1_modelc_2(k14_modelc_2(A)) & m2_finseq_1(k14_modelc_2(A), k4_ordinal1)) ) ).
fof(abstractness_v9_modelc_2, axiom,  (! [A] :  (l1_modelc_2(A) =>  (v9_modelc_2(A) => A=g1_modelc_2(u1_struct_0(A), u1_modelc_2(A), u1_lattices(A), u2_lattices(A), u1_robbins1(A), u2_modelc_2(A), u3_modelc_2(A), u4_modelc_2(A))) ) ) ).
fof(dt_l1_modelc_2, axiom,  (! [A] :  (l1_modelc_2(A) => l4_robbins1(A)) ) ).
fof(existence_l1_modelc_2, axiom,  (? [A] : l1_modelc_2(A)) ).
fof(dt_g1_modelc_2, axiom,  (! [A, B, C, D, E, F, G, H] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, A, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  &  ( (v1_funct_1(F) &  (v1_funct_2(F, A, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  &  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(A, A), A) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (v1_funct_1(H) &  (v1_funct_2(H, k2_zfmisc_1(A, A), A) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) ) ) ) ) ) )  =>  (v9_modelc_2(g1_modelc_2(A, B, C, D, E, F, G, H)) & l1_modelc_2(g1_modelc_2(A, B, C, D, E, F, G, H))) ) ) ).
fof(free_g1_modelc_2, axiom,  (! [A, B, C, D, E, F, G, H] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, A, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  &  ( (v1_funct_1(F) &  (v1_funct_2(F, A, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  &  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(A, A), A) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (v1_funct_1(H) &  (v1_funct_2(H, k2_zfmisc_1(A, A), A) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) ) ) ) ) ) )  =>  (! [I, J, K, L, M, N, O, P] :  (g1_modelc_2(A, B, C, D, E, F, G, H)=g1_modelc_2(I, J, K, L, M, N, O, P) =>  (A=I &  (B=J &  (C=K &  (D=L &  (E=M &  (F=N &  (G=O & H=P) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_u1_modelc_2, axiom,  (! [A] :  (l1_modelc_2(A) => m1_subset_1(u1_modelc_2(A), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_u2_modelc_2, axiom,  (! [A] :  (l1_modelc_2(A) =>  (v1_funct_1(u2_modelc_2(A)) &  (v1_funct_2(u2_modelc_2(A), u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(u2_modelc_2(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ).
fof(dt_u3_modelc_2, axiom,  (! [A] :  (l1_modelc_2(A) =>  (v1_funct_1(u3_modelc_2(A)) &  (v1_funct_2(u3_modelc_2(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(u3_modelc_2(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(dt_u4_modelc_2, axiom,  (! [A] :  (l1_modelc_2(A) =>  (v1_funct_1(u4_modelc_2(A)) &  (v1_funct_2(u4_modelc_2(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(u4_modelc_2(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(dt_k15_modelc_2, axiom, m1_subset_1(k15_modelc_2, k1_zfmisc_1(k9_modelc_2))).
fof(dt_k17_modelc_2, axiom, l1_modelc_2(k17_modelc_2)).
fof(dt_k18_modelc_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_modelc_2(A) & l1_modelc_2(A)) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k15_modelc_2, u1_modelc_2(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2, u1_modelc_2(A))))) )  & v7_ordinal1(C)) )  =>  ~ (v1_xboole_0(k18_modelc_2(A, B, C))) ) ) ).
fof(dt_k19_modelc_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_modelc_2(A) & l1_modelc_2(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k19_modelc_2(A, B, C)) &  (v1_funct_2(k19_modelc_2(A, B, C), k9_modelc_2, u1_struct_0(A)) & m1_subset_1(k19_modelc_2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k9_modelc_2, u1_struct_0(A))))) ) ) ) ).
fof(dt_k20_modelc_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_modelc_2(A) & l1_modelc_2(A)) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k15_modelc_2, u1_modelc_2(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2, u1_modelc_2(A))))) ) )  =>  ~ (v1_xboole_0(k20_modelc_2(A, B))) ) ) ).
fof(dt_k21_modelc_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_modelc_2(A) & l1_modelc_2(A)) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k15_modelc_2, u1_modelc_2(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2, u1_modelc_2(A))))) )  &  (v1_modelc_2(C) & m1_finseq_1(C, k4_ordinal1)) ) )  => m1_subset_1(k21_modelc_2(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k22_modelc_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_modelc_2(A) & l1_modelc_2(A)) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k22_modelc_2(A, B), u1_struct_0(A))) ) ).
fof(dt_k23_modelc_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_modelc_2(A) & l1_modelc_2(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k23_modelc_2(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k24_modelc_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_modelc_2(A) & l1_modelc_2(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k24_modelc_2(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k25_modelc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k25_modelc_2(A))) ) ) ).
fof(dt_k26_modelc_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) ) )  => m1_subset_1(k26_modelc_2(A, B), k25_modelc_2(A))) ) ).
fof(dt_k27_modelc_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k27_modelc_2(A, B)) &  (v1_funct_2(k27_modelc_2(A, B), k4_ordinal1, A) & m1_subset_1(k27_modelc_2(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) ) ) ) ).
fof(dt_k28_modelc_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  & v7_ordinal1(C))  => m1_subset_1(k28_modelc_2(A, B, C), k25_modelc_2(A))) ) ).
fof(dt_k29_modelc_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k25_modelc_2(A)) & v7_ordinal1(C)) )  => m1_subset_1(k29_modelc_2(A, B, C), k25_modelc_2(A))) ) ).
fof(dt_k30_modelc_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  => m1_subset_1(k30_modelc_2(A, B), k30_modelc_1(k25_modelc_2(A)))) ) ).
fof(dt_k31_modelc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k31_modelc_2(A)) &  (v1_funct_2(k31_modelc_2(A), k30_modelc_1(k25_modelc_2(A)), k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(k31_modelc_2(A), k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)), k30_modelc_1(k25_modelc_2(A)))))) ) ) ) ).
fof(dt_k32_modelc_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k25_modelc_2(A), k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k25_modelc_2(A), k5_margrel1)))) ) )  => m1_subset_1(k32_modelc_2(A, B, C), k5_margrel1)) ) ).
fof(dt_k33_modelc_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  => m1_subset_1(k33_modelc_2(A, B), k30_modelc_1(k25_modelc_2(A)))) ) ).
fof(dt_k34_modelc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k34_modelc_2(A)) &  (v1_funct_2(k34_modelc_2(A), k30_modelc_1(k25_modelc_2(A)), k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(k34_modelc_2(A), k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)), k30_modelc_1(k25_modelc_2(A)))))) ) ) ) ).
fof(dt_k35_modelc_2, axiom,  (! [A, B, C] :  ( ~ (v1_xboole_0(A))  => m1_subset_1(k35_modelc_2(A, B, C), k30_modelc_1(k25_modelc_2(A)))) ) ).
fof(dt_k36_modelc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k36_modelc_2(A)) &  (v1_funct_2(k36_modelc_2(A), k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)), k30_modelc_1(k25_modelc_2(A))), k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(k36_modelc_2(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)), k30_modelc_1(k25_modelc_2(A))), k30_modelc_1(k25_modelc_2(A)))))) ) ) ) ).
fof(dt_k37_modelc_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k25_modelc_2(A), k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k25_modelc_2(A), k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k25_modelc_2(A), k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k25_modelc_2(A), k5_margrel1)))) ) ) )  => m1_subset_1(k37_modelc_2(A, B, C, D), k5_margrel1)) ) ).
fof(dt_k38_modelc_2, axiom,  (! [A, B, C] :  ( ~ (v1_xboole_0(A))  => m1_subset_1(k38_modelc_2(A, B, C), k30_modelc_1(k25_modelc_2(A)))) ) ).
fof(dt_k39_modelc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k39_modelc_2(A)) &  (v1_funct_2(k39_modelc_2(A), k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)), k30_modelc_1(k25_modelc_2(A))), k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(k39_modelc_2(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)), k30_modelc_1(k25_modelc_2(A))), k30_modelc_1(k25_modelc_2(A)))))) ) ) ) ).
fof(dt_k40_modelc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k40_modelc_2(A)) &  (v1_funct_2(k40_modelc_2(A), k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)), k30_modelc_1(k25_modelc_2(A))), k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(k40_modelc_2(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)), k30_modelc_1(k25_modelc_2(A))), k30_modelc_1(k25_modelc_2(A)))))) ) ) ) ).
fof(dt_k41_modelc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k41_modelc_2(A)) &  (v1_funct_2(k41_modelc_2(A), k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)), k30_modelc_1(k25_modelc_2(A))), k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(k41_modelc_2(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)), k30_modelc_1(k25_modelc_2(A))), k30_modelc_1(k25_modelc_2(A)))))) ) ) ) ).
fof(dt_k42_modelc_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k30_modelc_1(k25_modelc_2(A))))) )  => l1_modelc_2(k42_modelc_2(A, B))) ) ).
fof(dt_k43_modelc_2, axiom,  ~ (v1_xboole_0(k43_modelc_2)) ).
fof(dt_k44_modelc_2, axiom,  (! [A, B] : m1_subset_1(k44_modelc_2(A, B), k5_margrel1)) ).
fof(dt_k45_modelc_2, axiom,  (! [A] : m1_subset_1(k45_modelc_2(A), k30_modelc_1(k25_modelc_2(k43_modelc_2)))) ).
fof(dt_k46_modelc_2, axiom,  ( ~ (v1_xboole_0(k46_modelc_2))  & m1_subset_1(k46_modelc_2, k1_zfmisc_1(k30_modelc_1(k25_modelc_2(k43_modelc_2))))) ).
fof(dt_k47_modelc_2, axiom,  (v1_funct_1(k47_modelc_2) &  (v1_funct_2(k47_modelc_2, k15_modelc_2, u1_modelc_2(k42_modelc_2(k43_modelc_2, k46_modelc_2))) & m1_subset_1(k47_modelc_2, k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2, u1_modelc_2(k42_modelc_2(k43_modelc_2, k46_modelc_2)))))) ) ).
fof(dt_k48_modelc_2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k9_modelc_2)) => m1_subset_1(k48_modelc_2(A), k1_zfmisc_1(k9_modelc_2))) ) ).
fof(d26_modelc_2, axiom, k15_modelc_2=a_0_0_modelc_2).
fof(d32_modelc_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_modelc_2(A) & l1_modelc_2(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k15_modelc_2, u1_modelc_2(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2, u1_modelc_2(A))))) )  =>  (! [C] :  (v7_ordinal1(C) => k18_modelc_2(A, B, C)=a_3_0_modelc_2(A, B, C)) ) ) ) ) ) ).
fof(d61_modelc_2, axiom, k46_modelc_2=a_0_1_modelc_2).
fof(d65_modelc_2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k9_modelc_2)) => k48_modelc_2(A)=a_1_0_modelc_2(A)) ) ).
fof(fraenkel_a_0_0_modelc_2, axiom,  (! [A] :  (r2_hidden(A, a_0_0_modelc_2) <=>  (? [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  &  (A=B & v2_modelc_2(B)) ) ) ) ) ).
fof(fraenkel_a_3_0_modelc_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v10_modelc_2(B) & l1_modelc_2(B)) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_modelc_2, u1_modelc_2(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2, u1_modelc_2(B))))) )  & v7_ordinal1(D)) )  =>  (r2_hidden(A, a_3_0_modelc_2(B, C, D)) <=>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k9_modelc_2, u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k9_modelc_2, u1_struct_0(B))))) )  &  (A=E & r5_modelc_2(B, C, E, D)) ) ) ) ) ) ).
fof(fraenkel_a_0_1_modelc_2, axiom,  (! [A] :  (r2_hidden(A, a_0_1_modelc_2) <=>  (? [B] :  (m1_subset_1(B, k30_modelc_1(k25_modelc_2(k43_modelc_2))) &  (A=B &  (? [C] : B=k45_modelc_2(C)) ) ) ) ) ) ).
fof(fraenkel_a_1_0_modelc_2, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k9_modelc_2)) =>  (r2_hidden(A, a_1_0_modelc_2(B)) <=>  (? [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  &  (A=C &  (? [D] :  ( (v1_modelc_2(D) & m2_finseq_1(D, k4_ordinal1))  &  (r2_tarski(D, B) & C=k6_modelc_2(D)) ) ) ) ) ) ) ) ) ).
fof(rc1_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  =>  (? [B] :  (l1_modelc_3(B, A) & v1_modelc_3(B, A)) ) ) ) ).
fof(rc2_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  =>  (? [B] :  (l1_modelc_3(B, A) &  (v1_modelc_3(B, A) & v3_modelc_3(B, A)) ) ) ) ) ).
fof(fc1_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  => v1_finset_1(k13_modelc_2(A))) ) ).
fof(fc2_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  =>  ( ~ (v1_xboole_0(k22_modelc_3(A)))  & v1_finset_1(k22_modelc_3(A))) ) ) ).
fof(fc3_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  =>  ( ~ (v1_xboole_0(k23_modelc_3(A)))  & v1_finset_1(k23_modelc_3(A))) ) ) ).
fof(fc4_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  =>  ~ (v1_xboole_0(k3_tarski(k1_orders_1(k1_modelc_3(A))))) ) ) ).
fof(fc5_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  =>  ~ (v1_xboole_0(k1_orders_1(k1_modelc_3(A)))) ) ) ).
fof(rc3_modelc_3, axiom,  (? [A] :  (m1_finseq_1(A, k4_ordinal1) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v1_modelc_2(A) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) &  (v4_valued_0(A) & v5_modelc_3(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc4_modelc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (l2_modelc_3(B, A) & v7_modelc_3(B, A)) ) ) ) ).
fof(d1_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  ( (v4_modelc_2(A) => k2_modelc_3(A)=k2_tarski(k11_modelc_2(A), k12_modelc_2(A)))  &  ( (v5_modelc_2(A) => k2_modelc_3(A)=k1_tarski(k11_modelc_2(A)))  &  ( (v6_modelc_2(A) => k2_modelc_3(A)=k1_xboole_0)  &  ( (v7_modelc_2(A) => k2_modelc_3(A)=k1_tarski(k11_modelc_2(A)))  &  ( (v8_modelc_2(A) => k2_modelc_3(A)=k1_tarski(k12_modelc_2(A)))  &  ~ ( ( ~ (v4_modelc_2(A))  &  ( ~ (v5_modelc_2(A))  &  ( ~ (v6_modelc_2(A))  &  ( ~ (v7_modelc_2(A))  &  ( ~ (v8_modelc_2(A))  &  ~ (k2_modelc_3(A)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  ( (v4_modelc_2(A) => k3_modelc_3(A)=k1_xboole_0)  &  ( (v5_modelc_2(A) => k3_modelc_3(A)=k1_tarski(k12_modelc_2(A)))  &  ( (v6_modelc_2(A) => k3_modelc_3(A)=k1_xboole_0)  &  ( (v7_modelc_2(A) => k3_modelc_3(A)=k1_tarski(k12_modelc_2(A)))  &  ( (v8_modelc_2(A) => k3_modelc_3(A)=k2_tarski(k11_modelc_2(A), k12_modelc_2(A)))  &  ~ ( ( ~ (v4_modelc_2(A))  &  ( ~ (v5_modelc_2(A))  &  ( ~ (v6_modelc_2(A))  &  ( ~ (v7_modelc_2(A))  &  ( ~ (v8_modelc_2(A))  &  ~ (k3_modelc_3(A)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  ( (v4_modelc_2(A) => k4_modelc_3(A)=k1_xboole_0)  &  ( (v5_modelc_2(A) => k4_modelc_3(A)=k1_xboole_0)  &  ( (v6_modelc_2(A) => k4_modelc_3(A)=k1_tarski(k10_modelc_2(A)))  &  ( (v7_modelc_2(A) => k4_modelc_3(A)=k1_tarski(A))  &  ( (v8_modelc_2(A) => k4_modelc_3(A)=k1_tarski(A))  &  ~ ( ( ~ (v4_modelc_2(A))  &  ( ~ (v5_modelc_2(A))  &  ( ~ (v6_modelc_2(A))  &  ( ~ (v7_modelc_2(A))  &  ( ~ (v8_modelc_2(A))  &  ~ (k4_modelc_3(A)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (l1_modelc_3(B, A) =>  (! [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  =>  (r2_tarski(C, u2_modelc_3(A, B)) =>  (! [D] :  ( (v1_modelc_3(D, A) & l1_modelc_3(D, A))  =>  (D=k5_modelc_3(A, B, C) <=>  (u1_modelc_3(A, D)=k2_xboole_0(u1_modelc_3(A, B), k1_tarski(C)) &  (u2_modelc_3(A, D)=k2_xboole_0(k7_subset_1(k1_modelc_3(A), u2_modelc_3(A, B), k1_tarski(C)), k7_subset_1(k1_modelc_3(C), k2_modelc_3(C), u1_modelc_3(A, B))) & u3_modelc_3(A, D)=k2_xboole_0(u3_modelc_3(A, B), k4_modelc_3(C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (l1_modelc_3(B, A) =>  (! [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  =>  (r2_tarski(C, u2_modelc_3(A, B)) =>  (! [D] :  ( (v1_modelc_3(D, A) & l1_modelc_3(D, A))  =>  (D=k6_modelc_3(A, B, C) <=>  (u1_modelc_3(A, D)=k2_xboole_0(u1_modelc_3(A, B), k1_tarski(C)) &  (u2_modelc_3(A, D)=k2_xboole_0(k7_subset_1(k1_modelc_3(A), u2_modelc_3(A, B), k1_tarski(C)), k7_subset_1(k1_modelc_3(C), k3_modelc_3(C), u1_modelc_3(A, B))) & u3_modelc_3(A, D)=u3_modelc_3(A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (l1_modelc_3(B, A) =>  (! [C] :  (l1_modelc_3(C, A) =>  (! [D] :  ( (v1_modelc_2(D) & m2_finseq_1(D, k4_ordinal1))  =>  (r1_modelc_3(A, B, C, D) <=>  (r2_tarski(D, u2_modelc_3(A, B)) &  (C=k5_modelc_3(A, B, D) |  ( ~ ( ( ~ (v5_modelc_2(D))  &  ( ~ (v7_modelc_2(D))  &  ~ (v8_modelc_2(D)) ) ) )  & C=k6_modelc_3(A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (l1_modelc_3(B, A) =>  (! [C] :  (l1_modelc_3(C, A) =>  (r2_modelc_3(A, B, C) <=>  (? [D] :  ( (v1_modelc_2(D) & m2_finseq_1(D, k4_ordinal1))  &  (r2_tarski(D, u2_modelc_3(A, B)) & C=k5_modelc_3(A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(d8_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (l1_modelc_3(B, A) =>  (! [C] :  (l1_modelc_3(C, A) =>  (r3_modelc_3(A, B, C) <=>  (? [D] :  ( (v1_modelc_2(D) & m2_finseq_1(D, k4_ordinal1))  &  (r2_tarski(D, u2_modelc_3(A, B)) &  ( ~ ( ( ~ (v5_modelc_2(D))  &  ( ~ (v7_modelc_2(D))  &  ~ (v8_modelc_2(D)) ) ) )  & C=k6_modelc_3(A, B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (l1_modelc_3(B, A) =>  (! [C] :  (l1_modelc_3(C, A) =>  (r4_modelc_3(A, B, C) <=>  (r2_modelc_3(A, B, C) | r3_modelc_3(A, B, C)) ) ) ) ) ) ) ) ).
fof(d10_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (l1_modelc_3(B, A) =>  (v2_modelc_3(B, A) <=>  (? [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  &  (? [D] :  ( (v1_modelc_2(D) & m2_finseq_1(D, k4_ordinal1))  &  (v2_modelc_2(C) &  (D=k3_modelc_2(C) &  (r2_tarski(C, u1_modelc_3(A, B)) & r2_tarski(D, u1_modelc_3(A, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (l1_modelc_3(B, A) =>  (v3_modelc_3(B, A) <=> u2_modelc_3(A, B)=k1_xboole_0) ) ) ) ) ).
fof(d12_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (l1_modelc_3(B, A) =>  (v4_modelc_3(B, A) <=>  (v3_modelc_3(B, A) & u3_modelc_3(A, B)=k1_xboole_0) ) ) ) ) ) ).
fof(d13_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  => k7_modelc_3(A)=k1_xboole_0) ) ).
fof(d14_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  => k8_modelc_3(A)=k1_tarski(A)) ) ).
fof(d15_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  => k9_modelc_3(A)=g1_modelc_3(A, k7_modelc_3(A), k7_modelc_3(A), k7_modelc_3(A))) ) ).
fof(d16_modelc_3, axiom,  (! [A] :  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  ( ( (v1_modelc_3(A, B) & l1_modelc_3(A, B))  => k10_modelc_3(A, B)=A)  &  ( ~ ( (v1_modelc_3(A, B) & l1_modelc_3(A, B)) )  => k10_modelc_3(A, B)=g1_modelc_3(B, k7_modelc_3(B), k7_modelc_3(B), k7_modelc_3(B))) ) ) ) ) ).
fof(d17_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  => k11_modelc_3(A)=g1_modelc_3(A, k7_modelc_3(A), k7_modelc_3(A), k8_modelc_3(A))) ) ).
fof(d18_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (l1_modelc_3(B, A) => k12_modelc_3(A, B)=g1_modelc_3(A, k7_modelc_3(A), u3_modelc_3(A, B), k7_modelc_3(A))) ) ) ) ).
fof(d19_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r5_modelc_3(A, B) <=>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, C) &  ( ~ (r1_xxreal_0(k3_finseq_1(B), C))  &  (! [D] :  ( (v1_modelc_3(D, A) & l1_modelc_3(D, A))  =>  (! [E] :  ( (v1_modelc_3(E, A) & l1_modelc_3(E, A))  =>  ~ ( (D=k1_funct_1(B, C) &  (E=k1_funct_1(B, k1_nat_1(C, 1)) & r4_modelc_3(A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d20_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_3(B, A) & l1_modelc_3(B, A))  =>  (! [C] :  ( (v1_modelc_3(C, A) & l1_modelc_3(C, A))  =>  (r6_modelc_3(A, B, C) <=>  (v3_modelc_3(B, A) &  (v3_modelc_3(C, A) &  (? [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  &  (r1_xxreal_0(1, k3_finseq_1(D)) &  (r5_modelc_3(A, D) &  (k1_funct_1(D, 1)=k12_modelc_3(A, B) & k1_funct_1(D, k3_finseq_1(D))=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d21_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_modelc_3(A))) => k13_modelc_3(A, B)=B) ) ) ) ).
fof(d22_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_3(B, A) & l1_modelc_3(B, A))  => k14_modelc_3(A, B)=k2_xboole_0(k4_subset_1(k1_modelc_3(A), u1_modelc_3(A, B), u2_modelc_3(A, B)), k48_modelc_2(k13_modelc_3(A, u3_modelc_3(A, B))))) ) ) ) ).
fof(t1_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_modelc_3(C, B) & l1_modelc_3(C, B))  =>  (! [D] :  (m1_subset_1(D, k25_modelc_2(k43_modelc_2)) =>  (r2_tarski(A, u2_modelc_3(B, C)) =>  ( ( ~ (v2_modelc_2(A))  &  ( ~ (v3_modelc_2(A))  &  ( ~ (v4_modelc_2(A))  &  ~ (v6_modelc_2(A)) ) ) )  |  (r8_modelc_2(D, k14_modelc_3(B, C)) <=> r8_modelc_2(D, k14_modelc_3(B, k5_modelc_3(B, C, A)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_modelc_3(C, B) & l1_modelc_3(C, B))  =>  (! [D] :  (m1_subset_1(D, k25_modelc_2(k43_modelc_2)) =>  (r2_tarski(A, u2_modelc_3(B, C)) =>  ( ( ~ (v5_modelc_2(A))  &  ( ~ (v7_modelc_2(A))  &  ~ (v8_modelc_2(A)) ) )  |  (r8_modelc_2(D, k14_modelc_3(B, C)) <=>  (r8_modelc_2(D, k14_modelc_3(B, k5_modelc_3(B, C, A))) | r8_modelc_2(D, k14_modelc_3(B, k6_modelc_3(B, C, A)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (? [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  & k1_modelc_3(A)=k10_xtuple_0(B)) ) ) ) ).
fof(d23_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k13_modelc_2(A))) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (r2_tarski(k1_funct_1(C, D), B) => k15_modelc_3(A, B, C, D)=k3_finseq_1(k14_modelc_2(k1_funct_1(C, D))))  &  ( ~ (r2_tarski(k1_funct_1(C, D), B))  => k15_modelc_3(A, B, C, D)=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(d24_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k13_modelc_2(A))) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (D=k16_modelc_3(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(k1_funct_1(C, E), B) => k8_nat_1(k1_numbers, D, E)=k3_finseq_1(k14_modelc_2(k1_funct_1(C, E))))  &  ( ~ (r2_tarski(k1_funct_1(C, E), B))  => k8_nat_1(k1_numbers, D, E)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d25_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k13_modelc_2(A))) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  => k17_modelc_3(A, B, C)=k6_series_1(k16_modelc_3(A, B, C), k3_finseq_1(C))) ) ) ) ) ) ).
fof(t4_modelc_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  => k17_modelc_3(B, k7_modelc_3(B), A)=k5_numbers) ) ) ) ).
fof(t5_modelc_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k13_modelc_2(C))) =>  ( ~ (r2_tarski(B, D))  => k17_modelc_3(C, k7_subset_1(k13_modelc_2(C), D, k1_tarski(B)), A)=k17_modelc_3(C, D, A)) ) ) ) ) ) ) ) ) ).
fof(t6_modelc_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k13_modelc_2(C))) =>  ( (k10_xtuple_0(A)=k1_modelc_3(C) &  (v2_funct_1(A) & r2_tarski(B, D)) )  => k17_modelc_3(C, k7_subset_1(k13_modelc_2(C), D, k1_tarski(B)), A)=k6_xcmplx_0(k17_modelc_3(C, D, A), k3_finseq_1(B))) ) ) ) ) ) ) ) ) ).
fof(t7_modelc_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k13_modelc_2(C))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k13_modelc_2(C))) =>  ( (k10_xtuple_0(A)=k1_modelc_3(C) &  (v2_funct_1(A) & E=k2_xboole_0(D, k1_tarski(B))) )  =>  (r2_tarski(B, D) | k17_modelc_3(C, E, A)=k2_xcmplx_0(k17_modelc_3(C, D, A), k3_finseq_1(B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_modelc_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k13_modelc_2(C))) =>  ( (k10_xtuple_0(A)=k1_modelc_3(C) &  (v2_funct_1(A) &  (k10_xtuple_0(B)=k1_modelc_3(C) & v2_funct_1(B)) ) )  => k17_modelc_3(C, D, A)=k17_modelc_3(C, D, B)) ) ) ) ) ) ) ) ) ).
fof(d26_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k13_modelc_2(A))) =>  (! [C] :  (v1_xreal_0(C) =>  (C=k18_modelc_3(A, B) <=>  (? [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  &  (k10_xtuple_0(D)=k1_modelc_3(A) &  (v2_funct_1(D) & C=k17_modelc_3(A, B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k13_modelc_2(B))) =>  ( ~ (r2_tarski(A, C))  => k18_modelc_3(B, k7_subset_1(k13_modelc_2(B), C, k1_tarski(A)))=k18_modelc_3(B, C)) ) ) ) ) ) ) ).
fof(t10_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k13_modelc_2(B))) =>  (r2_tarski(A, C) => k18_modelc_3(B, k7_subset_1(k13_modelc_2(B), C, k1_tarski(A)))=k6_xcmplx_0(k18_modelc_3(B, C), k3_finseq_1(A))) ) ) ) ) ) ) ).
fof(t11_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k13_modelc_2(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k13_modelc_2(B))) =>  (D=k2_xboole_0(C, k1_tarski(A)) =>  (r2_tarski(A, C) | k18_modelc_3(B, D)=k2_xcmplx_0(k18_modelc_3(B, C), k3_finseq_1(A))) ) ) ) ) ) ) ) ) ) ).
fof(t12_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k13_modelc_2(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k13_modelc_2(B))) =>  (D=k2_xboole_0(C, k1_tarski(A)) => r1_xxreal_0(k18_modelc_3(B, D), k2_xcmplx_0(k18_modelc_3(B, C), k3_finseq_1(A)))) ) ) ) ) ) ) ) ) ).
fof(t13_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  => k18_modelc_3(A, k7_modelc_3(A))=k5_numbers) ) ).
fof(t14_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k13_modelc_2(B))) =>  (C=k1_tarski(A) => k18_modelc_3(B, C)=k3_finseq_1(A)) ) ) ) ) ) ) ).
fof(t15_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k13_modelc_2(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k13_modelc_2(A))) =>  (r1_tarski(B, C) => r1_xxreal_0(k18_modelc_3(A, B), k18_modelc_3(A, C))) ) ) ) ) ) ) ).
fof(t16_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k13_modelc_2(A))) =>  ( ~ (r1_xxreal_0(1, k18_modelc_3(A, B)))  => B=k7_modelc_3(A)) ) ) ) ) ).
fof(t17_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k13_modelc_2(A))) => r1_xxreal_0(k5_numbers, k18_modelc_3(A, B))) ) ) ) ).
fof(t18_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k13_modelc_2(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k13_modelc_2(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k13_modelc_2(A))) =>  (B=k4_subset_1(k13_modelc_2(A), C, D) => r1_xxreal_0(k18_modelc_3(A, B), k2_xcmplx_0(k18_modelc_3(A, C), k18_modelc_3(A, D)))) ) ) ) ) ) ) ) ) ).
fof(d27_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (r2_tarski(B, k1_modelc_3(A)) => k19_modelc_3(A, B)=k2_modelc_3(B)) ) ) ) ) ).
fof(d28_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (r2_tarski(B, k1_modelc_3(A)) => k20_modelc_3(A, B)=k3_modelc_3(B)) ) ) ) ) ).
fof(t19_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_3(B, A) & l1_modelc_3(B, A))  =>  (! [C] :  ( (v1_modelc_3(C, A) & l1_modelc_3(C, A))  =>  (r2_modelc_3(A, B, C) => r1_xxreal_0(k18_modelc_3(A, u2_modelc_3(A, C)), k6_xcmplx_0(k18_modelc_3(A, u2_modelc_3(A, B)), 1))) ) ) ) ) ) ) ).
fof(t20_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_3(B, A) & l1_modelc_3(B, A))  =>  (! [C] :  ( (v1_modelc_3(C, A) & l1_modelc_3(C, A))  =>  (r3_modelc_3(A, B, C) => r1_xxreal_0(k18_modelc_3(A, u2_modelc_3(A, C)), k6_xcmplx_0(k18_modelc_3(A, u2_modelc_3(A, B)), 1))) ) ) ) ) ) ) ).
fof(d29_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_3(B, A) & l1_modelc_3(B, A))  => k21_modelc_3(A, B)=k1_int_1(k18_modelc_3(A, u2_modelc_3(A, B)))) ) ) ) ).
fof(t21_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_3(B, A) & l1_modelc_3(B, A))  =>  (! [C] :  ( (v1_modelc_3(C, A) & l1_modelc_3(C, A))  =>  (r4_modelc_3(A, B, C) => r1_xxreal_0(k21_modelc_3(A, C), k6_xcmplx_0(k21_modelc_3(A, B), 1))) ) ) ) ) ) ) ).
fof(t22_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_3(B, A) & l1_modelc_3(B, A))  =>  (r1_xxreal_0(k21_modelc_3(A, B), k5_numbers) => u2_modelc_3(A, B)=k7_modelc_3(A)) ) ) ) ) ).
fof(t23_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_3(B, A) & l1_modelc_3(B, A))  =>  ~ ( ( ~ (r1_xxreal_0(k21_modelc_3(A, B), k5_numbers))  & u2_modelc_3(A, B)=k7_modelc_3(A)) ) ) ) ) ) ).
fof(t24_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_3(B, A) & l1_modelc_3(B, A))  =>  (? [C] :  (v7_ordinal1(C) &  (? [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  &  (? [E] :  ( (v1_modelc_3(E, A) & l1_modelc_3(E, A))  &  (r1_xxreal_0(1, C) &  (k3_finseq_1(D)=C &  (k1_funct_1(D, 1)=B &  (k1_funct_1(D, C)=E &  (u2_modelc_3(A, E)=k7_modelc_3(A) & r5_modelc_3(A, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_3(B, A) & l1_modelc_3(B, A))  =>  (! [C] :  ( (v1_modelc_3(C, A) & l1_modelc_3(C, A))  =>  (r4_modelc_3(A, B, C) =>  (r1_tarski(u1_modelc_3(A, B), u1_modelc_3(A, C)) & r1_tarski(u3_modelc_3(A, B), u3_modelc_3(A, C))) ) ) ) ) ) ) ) ).
fof(t26_modelc_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_modelc_2(D) & m2_finseq_1(D, k4_ordinal1))  =>  ( (r5_modelc_3(D, B) &  (r1_xxreal_0(A, k3_finseq_1(B)) & C=k5_relat_1(B, k2_finseq_1(A))) )  => r5_modelc_3(D, C)) ) ) ) ) ) ) ) ) ).
fof(t27_modelc_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  =>  (! [D] :  ( (v1_modelc_2(D) & m2_finseq_1(D, k4_ordinal1))  =>  ~ ( (r5_modelc_3(D, B) &  ( ~ (r2_tarski(C, u1_modelc_3(D, k10_modelc_3(k1_funct_1(B, 1), D))))  &  ( ~ (r1_xxreal_0(A, 1))  &  (r1_xxreal_0(A, k3_finseq_1(B)) &  (r2_tarski(C, u1_modelc_3(D, k10_modelc_3(k1_funct_1(B, A), D))) &  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, E) &  ( ~ (r1_xxreal_0(A, E))  &  ( ~ (r2_tarski(C, u1_modelc_3(D, k10_modelc_3(k1_funct_1(B, E), D))))  & r2_tarski(C, u1_modelc_3(D, k10_modelc_3(k1_funct_1(B, k1_nat_1(E, 1)), D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_modelc_3(C, B) & l1_modelc_3(C, B))  =>  (! [D] :  ( (v1_modelc_3(D, B) & l1_modelc_3(D, B))  =>  ( (r4_modelc_3(B, C, D) & r2_tarski(A, u1_modelc_3(B, D)))  =>  (r2_tarski(A, u1_modelc_3(B, C)) | r1_modelc_3(B, C, D, A)) ) ) ) ) ) ) ) ) ) ).
fof(t29_modelc_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  =>  (! [D] :  ( (v1_modelc_2(D) & m2_finseq_1(D, k4_ordinal1))  =>  ~ ( (r5_modelc_3(D, B) &  (r2_tarski(C, u2_modelc_3(D, k10_modelc_3(k1_funct_1(B, 1), D))) &  ( ~ (r1_xxreal_0(A, 1))  &  (r1_xxreal_0(A, k3_finseq_1(B)) &  ( ~ (r2_tarski(C, u2_modelc_3(D, k10_modelc_3(k1_funct_1(B, A), D))))  &  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, E) &  ( ~ (r1_xxreal_0(A, E))  &  (r2_tarski(C, u2_modelc_3(D, k10_modelc_3(k1_funct_1(B, E), D))) &  ~ (r2_tarski(C, u2_modelc_3(D, k10_modelc_3(k1_funct_1(B, k1_nat_1(E, 1)), D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_modelc_3(C, B) & l1_modelc_3(C, B))  =>  (! [D] :  ( (v1_modelc_3(D, B) & l1_modelc_3(D, B))  =>  ( (r4_modelc_3(B, C, D) & r2_tarski(A, u2_modelc_3(B, C)))  =>  (r2_tarski(A, u2_modelc_3(B, D)) | r1_modelc_3(B, C, D, A)) ) ) ) ) ) ) ) ) ) ).
fof(t31_modelc_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_modelc_2(D) & m2_finseq_1(D, k4_ordinal1))  =>  ( (r5_modelc_3(D, C) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, A) & r1_xxreal_0(A, k3_finseq_1(C))) ) )  =>  (r1_tarski(u1_modelc_3(D, k10_modelc_3(k1_funct_1(C, B), D)), u1_modelc_3(D, k10_modelc_3(k1_funct_1(C, A), D))) & r1_tarski(u3_modelc_3(D, k10_modelc_3(k1_funct_1(C, B), D)), u3_modelc_3(D, k10_modelc_3(k1_funct_1(C, A), D)))) ) ) ) ) ) ) ) ) ) ).
fof(t32_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_modelc_3(C, B) & l1_modelc_3(C, B))  =>  (! [D] :  ( (v1_modelc_3(D, B) & l1_modelc_3(D, B))  =>  (r1_modelc_3(B, C, D, A) => r2_tarski(A, u1_modelc_3(B, D))) ) ) ) ) ) ) ) ) ).
fof(t33_modelc_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  ( (r5_modelc_3(B, A) &  (r1_xxreal_0(1, k3_finseq_1(A)) & u2_modelc_3(B, k10_modelc_3(k1_funct_1(A, k3_finseq_1(A)), B))=k7_modelc_3(B)) )  => r1_tarski(u2_modelc_3(B, k10_modelc_3(k1_funct_1(A, 1), B)), u1_modelc_3(B, k10_modelc_3(k1_funct_1(A, k3_finseq_1(A)), B)))) ) ) ) ) ).
fof(t34_modelc_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  =>  ( (r5_modelc_3(C, B) &  (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, k3_finseq_1(B)) & u2_modelc_3(C, k10_modelc_3(k1_funct_1(B, k3_finseq_1(B)), C))=k7_modelc_3(C)) ) )  => r1_tarski(u2_modelc_3(C, k10_modelc_3(k1_funct_1(B, A), C)), u1_modelc_3(C, k10_modelc_3(k1_funct_1(B, k3_finseq_1(B)), C)))) ) ) ) ) ) ) ).
fof(t35_modelc_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  =>  ( (r5_modelc_3(C, B) & r1_xxreal_0(1, A))  =>  (r1_xxreal_0(k3_finseq_1(B), A) | r4_modelc_3(C, k10_modelc_3(k1_funct_1(B, A), C), k10_modelc_3(k1_funct_1(B, k1_nat_1(A, 1)), C))) ) ) ) ) ) ) ) ).
fof(t36_modelc_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  =>  ( (r5_modelc_3(C, B) &  (r1_xxreal_0(1, A) & r1_xxreal_0(A, k3_finseq_1(B))) )  => r1_xxreal_0(k21_modelc_3(C, k10_modelc_3(k1_funct_1(B, A), C)), k2_xcmplx_0(k6_xcmplx_0(k21_modelc_3(C, k10_modelc_3(k1_funct_1(B, 1), C)), A), 1))) ) ) ) ) ) ) ).
fof(t37_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_3(B, A) &  (v3_modelc_3(B, A) & l1_modelc_3(B, A)) )  =>  (! [C] :  ( (v1_modelc_3(C, A) &  (v3_modelc_3(C, A) & l1_modelc_3(C, A)) )  =>  (r6_modelc_3(A, B, C) => r1_tarski(u3_modelc_3(A, B), u1_modelc_3(A, C))) ) ) ) ) ) ) ).
fof(t38_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_modelc_3(C, B) &  (v3_modelc_3(C, B) & l1_modelc_3(C, B)) )  =>  (! [D] :  ( (v1_modelc_3(D, B) &  (v3_modelc_3(D, B) & l1_modelc_3(D, B)) )  =>  ~ ( (r6_modelc_3(B, C, D) &  (r2_tarski(A, u1_modelc_3(B, D)) &  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r1_xxreal_0(1, k3_finseq_1(E)) &  (r5_modelc_3(B, E) &  (k1_funct_1(E, 1)=k12_modelc_3(B, C) &  (k1_funct_1(E, k3_finseq_1(E))=D &  (r1_xxreal_0(1, F) &  ( ~ (r1_xxreal_0(k3_finseq_1(E), F))  & r1_modelc_3(B, k10_modelc_3(k1_funct_1(E, F), B), k10_modelc_3(k1_funct_1(E, k1_nat_1(F, 1)), B), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_modelc_3(C, B) &  (v3_modelc_3(C, B) & l1_modelc_3(C, B)) )  =>  (! [D] :  ( (v1_modelc_3(D, B) &  (v3_modelc_3(D, B) & l1_modelc_3(D, B)) )  =>  ( (r6_modelc_3(B, C, D) &  (v8_modelc_2(A) & r2_tarski(A, u1_modelc_3(B, D))) )  =>  (r2_tarski(k11_modelc_2(A), u1_modelc_3(B, D)) |  (r2_tarski(k12_modelc_2(A), u1_modelc_3(B, D)) & r2_tarski(A, u3_modelc_3(B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_modelc_3(C, B) &  (v3_modelc_3(C, B) & l1_modelc_3(C, B)) )  =>  (! [D] :  ( (v1_modelc_3(D, B) &  (v3_modelc_3(D, B) & l1_modelc_3(D, B)) )  =>  ( (r6_modelc_3(B, C, D) &  (v8_modelc_2(A) & r2_tarski(A, u3_modelc_3(B, C))) )  =>  (r2_tarski(k12_modelc_2(A), u1_modelc_3(B, D)) & r2_tarski(A, u1_modelc_3(B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t41_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_modelc_3(C, B) &  (v3_modelc_3(C, B) & l1_modelc_3(C, B)) )  =>  (! [D] :  ( (v1_modelc_3(D, B) &  (v3_modelc_3(D, B) & l1_modelc_3(D, B)) )  =>  ( (r6_modelc_3(B, C, D) & r2_tarski(A, u1_modelc_3(B, D)))  =>  ( (v4_modelc_2(A) =>  (r2_tarski(k11_modelc_2(A), u1_modelc_3(B, D)) & r2_tarski(k12_modelc_2(A), u1_modelc_3(B, D))) )  &  ( ~ ( ( (v5_modelc_2(A) | v7_modelc_2(A))  &  ( ~ (r2_tarski(k11_modelc_2(A), u1_modelc_3(B, D)))  &  ~ (r2_tarski(k12_modelc_2(A), u1_modelc_3(B, D))) ) ) )  &  ( (v6_modelc_2(A) => r2_tarski(k10_modelc_2(A), u3_modelc_3(B, D)))  &  (v8_modelc_2(A) => r2_tarski(k12_modelc_2(A), u1_modelc_3(B, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_modelc_3(C, B) &  (v3_modelc_3(C, B) & l1_modelc_3(C, B)) )  =>  (! [D] :  ( (v1_modelc_3(D, B) &  (v3_modelc_3(D, B) & l1_modelc_3(D, B)) )  =>  (! [E] :  ( (v1_modelc_3(E, B) &  (v3_modelc_3(E, B) & l1_modelc_3(E, B)) )  =>  ~ ( (r6_modelc_3(B, C, D) &  (r6_modelc_3(B, D, E) &  (r2_tarski(A, u1_modelc_3(B, D)) &  (v7_modelc_2(A) &  ( ~ (r2_tarski(k12_modelc_2(A), u1_modelc_3(B, D)))  &  ~ ( (r2_tarski(k11_modelc_2(A), u1_modelc_3(B, D)) & r2_tarski(A, u1_modelc_3(B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d30_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (B=k22_modelc_3(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  (? [D] :  ( (v1_modelc_3(D, A) & l1_modelc_3(D, A))  & C=D) ) ) ) ) ) ) ) ) ).
fof(t43_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  => m1_subset_1(k11_modelc_3(A), k23_modelc_3(A))) ) ).
fof(t44_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_3(B, A) &  (v3_modelc_3(B, A) & l1_modelc_3(B, A)) )  => m1_subset_1(B, k23_modelc_3(A))) ) ) ) ).
fof(t45_modelc_3, axiom,  (! [A] :  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (m1_subset_1(A, k23_modelc_3(B)) <=>  (? [C] :  ( (v1_modelc_3(C, B) &  (v3_modelc_3(C, B) & l1_modelc_3(C, B)) )  & C=A) ) ) ) ) ) ).
fof(d32_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k25_modelc_2(k43_modelc_2)) =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r7_modelc_3(A, B, C) <=>  (! [D] :  ( (r2_tarski(D, k22_modelc_3(A)) & r8_modelc_2(B, k14_modelc_3(A, k10_modelc_3(D, A))))  =>  (v3_modelc_3(k10_modelc_3(D, A), A) |  (r4_modelc_3(A, k10_modelc_3(D, A), k10_modelc_3(k1_funct_1(C, D), A)) & r8_modelc_2(B, k14_modelc_3(A, k10_modelc_3(k1_funct_1(C, D), A)))) ) ) ) ) ) ) ) ) ) ) ).
fof(d33_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k25_modelc_2(k43_modelc_2)) =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r8_modelc_3(A, B, C) <=>  (! [D] :  ( (r2_tarski(D, k22_modelc_3(A)) & r8_modelc_2(B, k14_modelc_3(A, k10_modelc_3(D, A))))  =>  (v3_modelc_3(k10_modelc_3(D, A), A) | r8_modelc_2(B, k14_modelc_3(A, k10_modelc_3(k1_funct_1(C, D), A)))) ) ) ) ) ) ) ) ) ) ).
fof(t46_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k25_modelc_2(k43_modelc_2)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k22_modelc_3(A), k22_modelc_3(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k22_modelc_3(A), k22_modelc_3(A))))) )  =>  (r7_modelc_3(A, B, C) => r8_modelc_3(A, B, C)) ) ) ) ) ) ) ).
fof(t47_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k25_modelc_2(k43_modelc_2)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k22_modelc_3(A), k22_modelc_3(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k22_modelc_3(A), k22_modelc_3(A))))) )  =>  (r8_modelc_3(A, B, C) =>  (! [D] :  ( (r2_tarski(D, k22_modelc_3(A)) & r8_modelc_2(B, k14_modelc_3(A, k10_modelc_3(D, A))))  =>  (v3_modelc_3(k10_modelc_3(D, A), A) |  (! [E] :  (v7_ordinal1(E) =>  ( (! [F] :  (v7_ordinal1(F) =>  ~ ( (r1_xxreal_0(F, E) & v3_modelc_3(k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(A), C, F), D), A), A)) ) ) )  => r8_modelc_2(B, k14_modelc_3(A, k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(A), C, E), D), A)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k25_modelc_2(k43_modelc_2)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k22_modelc_3(A), k22_modelc_3(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k22_modelc_3(A), k22_modelc_3(A))))) )  =>  (r7_modelc_3(A, B, C) =>  (! [D] :  ( (r2_tarski(D, k22_modelc_3(A)) & r8_modelc_2(B, k14_modelc_3(A, k10_modelc_3(D, A))))  =>  (v3_modelc_3(k10_modelc_3(D, A), A) |  (! [E] :  (v7_ordinal1(E) =>  ( (! [F] :  (v7_ordinal1(F) =>  ~ ( (r1_xxreal_0(F, E) & v3_modelc_3(k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(A), C, F), D), A), A)) ) ) )  =>  (r4_modelc_3(A, k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(A), C, E), D), A), k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(A), C, k1_nat_1(E, 1)), D), A)) & r8_modelc_2(B, k14_modelc_3(A, k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(A), C, E), D), A)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k25_modelc_2(k43_modelc_2)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k22_modelc_3(A), k22_modelc_3(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k22_modelc_3(A), k22_modelc_3(A))))) )  =>  (r7_modelc_3(A, B, C) =>  (! [D] :  ~ ( (r2_tarski(D, k22_modelc_3(A)) &  ( ~ (v3_modelc_3(k10_modelc_3(D, A), A))  &  (r8_modelc_2(B, k14_modelc_3(A, k10_modelc_3(D, A))) &  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( (! [F] :  (v7_ordinal1(F) =>  ~ ( ( ~ (r1_xxreal_0(E, F))  & v3_modelc_3(k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(A), C, F), D), A), A)) ) ) )  & v3_modelc_3(k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(A), C, E), D), A), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k25_modelc_2(k43_modelc_2)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k22_modelc_3(A), k22_modelc_3(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k22_modelc_3(A), k22_modelc_3(A))))) )  =>  (r8_modelc_3(A, B, C) =>  (! [D] :  (r2_tarski(D, k22_modelc_3(A)) =>  (v3_modelc_3(k10_modelc_3(D, A), A) |  (! [E] :  (v7_ordinal1(E) =>  (r8_modelc_2(B, k14_modelc_3(A, k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(A), C, E), D), A))) =>  (v3_modelc_3(k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(A), C, E), D), A), A) | r8_modelc_2(B, k14_modelc_3(A, k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(A), C, k1_nat_1(E, 1)), D), A)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k25_modelc_2(k43_modelc_2)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k22_modelc_3(A), k22_modelc_3(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k22_modelc_3(A), k22_modelc_3(A))))) )  =>  (r7_modelc_3(A, B, C) =>  (! [D] :  ~ ( (r2_tarski(D, k22_modelc_3(A)) &  ( ~ (v3_modelc_3(k10_modelc_3(D, A), A))  &  (r8_modelc_2(B, k14_modelc_3(A, k10_modelc_3(D, A))) &  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( (! [F] :  (v7_ordinal1(F) =>  ( ~ (r1_xxreal_0(E, F))  =>  ( ~ (v3_modelc_3(k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(A), C, F), D), A), A))  & r4_modelc_3(A, k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(A), C, F), D), A), k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(A), C, k1_nat_1(F, 1)), D), A))) ) ) )  &  (v3_modelc_3(k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(A), C, E), D), A), A) &  (! [F] :  (v7_ordinal1(F) =>  (r1_xxreal_0(F, E) => r8_modelc_2(B, k14_modelc_3(A, k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(A), C, F), D), A)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_modelc_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k23_modelc_3(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k23_modelc_3(B))))) )  =>  (? [D] :  ( (v1_modelc_3(D, B) &  (v3_modelc_3(D, B) & l1_modelc_3(D, B)) )  & D=k10_modelc_3(k8_nat_1(k23_modelc_3(B), C, A), B)) ) ) ) ) ) ) ) ).
fof(t53_modelc_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k23_modelc_3(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k23_modelc_3(C))))) )  =>  ( (v7_modelc_2(B) &  (r2_tarski(B, u1_modelc_3(C, k10_modelc_3(k8_nat_1(k23_modelc_3(C), D, 1), C))) &  ( (! [E] :  (v7_ordinal1(E) => r6_modelc_3(C, k10_modelc_3(k8_nat_1(k23_modelc_3(C), D, E), C), k10_modelc_3(k8_nat_1(k23_modelc_3(C), D, k1_nat_1(E, 1)), C))) )  &  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, E) &  ( ~ (r1_xxreal_0(A, E))  & r2_tarski(k12_modelc_2(B), u1_modelc_3(C, k10_modelc_3(k8_nat_1(k23_modelc_3(C), D, E), C)))) ) ) ) ) ) ) )  =>  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(1, E) =>  (r1_xxreal_0(A, E) |  (r2_tarski(k11_modelc_2(B), u1_modelc_3(C, k10_modelc_3(k8_nat_1(k23_modelc_3(C), D, E), C))) & r2_tarski(B, u1_modelc_3(C, k10_modelc_3(k8_nat_1(k23_modelc_3(C), D, E), C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k23_modelc_3(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k23_modelc_3(B))))) )  =>  ~ ( (v7_modelc_2(A) &  (r2_tarski(A, u1_modelc_3(B, k10_modelc_3(k8_nat_1(k23_modelc_3(B), C, 1), B))) &  ( (! [D] :  (v7_ordinal1(D) => r6_modelc_3(B, k10_modelc_3(k8_nat_1(k23_modelc_3(B), C, D), B), k10_modelc_3(k8_nat_1(k23_modelc_3(B), C, k1_nat_1(D, 1)), B))) )  &  ( (? [D] :  (v7_ordinal1(D) &  (r1_xxreal_0(1, D) &  ~ ( (r2_tarski(A, u1_modelc_3(B, k10_modelc_3(k8_nat_1(k23_modelc_3(B), C, D), B))) &  (r2_tarski(k11_modelc_2(A), u1_modelc_3(B, k10_modelc_3(k8_nat_1(k23_modelc_3(B), C, D), B))) &  ~ (r2_tarski(k12_modelc_2(A), u1_modelc_3(B, k10_modelc_3(k8_nat_1(k23_modelc_3(B), C, D), B)))) ) ) ) ) ) )  &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(1, D) &  (r2_tarski(k12_modelc_2(A), u1_modelc_3(B, k10_modelc_3(k8_nat_1(k23_modelc_3(B), C, D), B))) &  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(1, E) =>  (r1_xxreal_0(D, E) |  (r2_tarski(A, u1_modelc_3(B, k10_modelc_3(k8_nat_1(k23_modelc_3(B), C, E), B))) & r2_tarski(k11_modelc_2(A), u1_modelc_3(B, k10_modelc_3(k8_nat_1(k23_modelc_3(B), C, E), B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_modelc_3, axiom,  (! [A] : k3_tarski(k1_orders_1(A))=A) ).
fof(t56_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_3(B, A) & l1_modelc_3(B, A))  =>  ( ~ (v3_modelc_3(B, A))  =>  ( ~ (u2_modelc_3(A, B)=k1_xboole_0)  & r2_tarski(u2_modelc_3(A, B), k1_orders_1(k1_modelc_3(A)))) ) ) ) ) ) ).
fof(t57_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (? [B] :  (m2_orders_1(B, k1_orders_1(k1_modelc_3(A)), k6_partfun1(k1_orders_1(k1_modelc_3(A)))) &  (v1_funct_1(B) &  (v1_funct_2(B, k1_orders_1(k1_modelc_3(A)), k1_modelc_3(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_orders_1(k1_modelc_3(A)), k1_modelc_3(A))))) ) ) ) ) ) ).
fof(d34_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (m2_orders_1(B, k1_orders_1(k1_modelc_3(A)), k6_partfun1(k1_orders_1(k1_modelc_3(A)))) =>  (! [C] :  ( (v1_modelc_3(C, A) & l1_modelc_3(C, A))  =>  ( ~ (v3_modelc_3(C, A))  => k24_modelc_3(A, B, C)=k1_funct_1(B, u2_modelc_3(A, C))) ) ) ) ) ) ) ).
fof(t58_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_3(B, A) & l1_modelc_3(B, A))  =>  (! [C] :  (m2_orders_1(C, k1_orders_1(k1_modelc_3(A)), k6_partfun1(k1_orders_1(k1_modelc_3(A)))) =>  ( ~ (v3_modelc_3(B, A))  => r2_tarski(k24_modelc_3(A, C, B), u2_modelc_3(A, B))) ) ) ) ) ) ) ).
fof(d35_modelc_3, axiom,  (! [A] :  (m1_subset_1(A, k25_modelc_2(k43_modelc_2)) =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  (m2_orders_1(C, k1_orders_1(k1_modelc_3(B)), k6_partfun1(k1_orders_1(k1_modelc_3(B)))) =>  (! [D] :  ( (v1_modelc_3(D, B) & l1_modelc_3(D, B))  =>  ( ( ( ( ~ (v7_modelc_2(k24_modelc_3(B, C, D)))  & r8_modelc_2(A, k14_modelc_3(B, k5_modelc_3(B, D, k24_modelc_3(B, C, D)))))  |  (v7_modelc_2(k24_modelc_3(B, C, D)) &  ~ (r7_modelc_2(A, k12_modelc_2(k24_modelc_3(B, C, D)))) ) )  => k25_modelc_3(A, B, C, D)=k5_modelc_3(B, D, k24_modelc_3(B, C, D)))  &  ~ ( ( ~ ( ( ~ (v7_modelc_2(k24_modelc_3(B, C, D)))  & r8_modelc_2(A, k14_modelc_3(B, k5_modelc_3(B, D, k24_modelc_3(B, C, D))))) )  &  ( ~ ( (v7_modelc_2(k24_modelc_3(B, C, D)) &  ~ (r7_modelc_2(A, k12_modelc_2(k24_modelc_3(B, C, D)))) ) )  &  ~ (k25_modelc_3(A, B, C, D)=k6_modelc_3(B, D, k24_modelc_3(B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_3(B, A) & l1_modelc_3(B, A))  =>  (! [C] :  (m1_subset_1(C, k25_modelc_2(k43_modelc_2)) =>  (! [D] :  (m2_orders_1(D, k1_orders_1(k1_modelc_3(A)), k6_partfun1(k1_orders_1(k1_modelc_3(A)))) =>  (r8_modelc_2(C, k14_modelc_3(A, B)) =>  (v3_modelc_3(B, A) |  (r8_modelc_2(C, k14_modelc_3(A, k25_modelc_3(C, A, D, B))) & r4_modelc_3(A, B, k25_modelc_3(C, A, D, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_3(B, A) & l1_modelc_3(B, A))  =>  (! [C] :  (m1_subset_1(C, k25_modelc_2(k43_modelc_2)) =>  (! [D] :  (m2_orders_1(D, k1_orders_1(k1_modelc_3(A)), k6_partfun1(k1_orders_1(k1_modelc_3(A)))) =>  ( (v7_modelc_2(k24_modelc_3(A, D, B)) & r7_modelc_2(C, k12_modelc_2(k24_modelc_3(A, D, B))))  =>  (v3_modelc_3(B, A) |  ( (r2_tarski(k12_modelc_2(k24_modelc_3(A, D, B)), u2_modelc_3(A, k25_modelc_3(C, A, D, B))) | r2_tarski(k12_modelc_2(k24_modelc_3(A, D, B)), u1_modelc_3(A, B)))  & r2_tarski(k24_modelc_3(A, D, B), u1_modelc_3(A, k25_modelc_3(C, A, D, B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_3(B, A) & l1_modelc_3(B, A))  =>  (! [C] :  (m1_subset_1(C, k25_modelc_2(k43_modelc_2)) =>  (! [D] :  (m2_orders_1(D, k1_orders_1(k1_modelc_3(A)), k6_partfun1(k1_orders_1(k1_modelc_3(A)))) =>  (r8_modelc_2(C, k14_modelc_3(A, B)) =>  (v3_modelc_3(B, A) |  (r1_tarski(u1_modelc_3(A, B), u1_modelc_3(A, k25_modelc_3(C, A, D, B))) & r1_tarski(u3_modelc_3(A, B), u3_modelc_3(A, k25_modelc_3(C, A, D, B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(d36_modelc_3, axiom,  (! [A] :  (m1_subset_1(A, k25_modelc_2(k43_modelc_2)) =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (! [C] :  (m2_orders_1(C, k1_orders_1(k1_modelc_3(B)), k6_partfun1(k1_orders_1(k1_modelc_3(B)))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k22_modelc_3(B), k22_modelc_3(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k22_modelc_3(B), k22_modelc_3(B))))) )  =>  (D=k26_modelc_3(A, B, C) <=>  (! [E] :  (r2_tarski(E, k22_modelc_3(B)) => k1_funct_1(D, E)=k25_modelc_3(A, B, C, k10_modelc_3(E, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k25_modelc_2(k43_modelc_2)) =>  (! [C] :  (m2_orders_1(C, k1_orders_1(k1_modelc_3(A)), k6_partfun1(k1_orders_1(k1_modelc_3(A)))) => r7_modelc_3(A, B, k26_modelc_3(B, A, C))) ) ) ) ) ) ).
fof(d37_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (v5_modelc_3(A) <=>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  ( (r2_modelc_2(B, A) & v3_modelc_2(B))  => v2_modelc_2(k10_modelc_2(B))) ) ) ) ) ) ).
fof(d38_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (v6_modelc_3(A) <=>  ~ ( ( ~ (v2_modelc_2(A))  &  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  ~ ( (v2_modelc_2(B) & A=k3_modelc_2(B)) ) ) ) ) ) ) ) ) ).
fof(t63_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  ( (v5_modelc_3(B) & r2_modelc_2(A, B))  => v5_modelc_3(A)) ) ) ) ) ).
fof(t64_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (v6_modelc_3(A) <=>  (v2_modelc_2(A) |  (v3_modelc_2(A) & v2_modelc_2(k10_modelc_2(A))) ) ) ) ) ).
fof(t65_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  ~ ( (v5_modelc_3(A) &  ( ~ (v6_modelc_3(A))  &  ( ~ (v4_modelc_2(A))  &  ( ~ (v5_modelc_2(A))  &  ( ~ (v6_modelc_2(A))  &  ( ~ (v7_modelc_2(A))  &  ~ (v8_modelc_2(A)) ) ) ) ) ) ) ) ) ) ).
fof(t66_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  ( (v6_modelc_2(A) & v5_modelc_3(A))  => v5_modelc_3(k10_modelc_2(A))) ) ) ).
fof(t67_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (v5_modelc_3(A) =>  ( ( ~ (v4_modelc_2(A))  &  ( ~ (v5_modelc_2(A))  &  ( ~ (v7_modelc_2(A))  &  ~ (v8_modelc_2(A)) ) ) )  |  (v5_modelc_3(k11_modelc_2(A)) & v5_modelc_3(k12_modelc_2(A))) ) ) ) ) ).
fof(d44_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) &  (v5_modelc_3(A) & m2_finseq_1(A, k4_ordinal1)) )  => k31_modelc_3(A)=k1_tarski(k11_modelc_3(A))) ) ).
fof(d47_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) &  (v5_modelc_3(A) & m2_finseq_1(A, k4_ordinal1)) )  => k34_modelc_3(A)=g2_modelc_3(k43_modelc_2, k23_modelc_3(A), k30_modelc_3(A), k31_modelc_3(A), k33_modelc_3(A))) ) ).
fof(t68_modelc_3, axiom,  (! [A] :  (m1_subset_1(A, k25_modelc_2(k43_modelc_2)) =>  (! [B] :  ( (v1_modelc_2(B) &  (v5_modelc_3(B) & m2_finseq_1(B, k4_ordinal1)) )  =>  (r9_modelc_3(k43_modelc_2, k34_modelc_3(B), A) => r7_modelc_2(A, B)) ) ) ) ) ).
fof(d48_modelc_3, axiom,  (! [A] :  (m1_subset_1(A, k25_modelc_2(k43_modelc_2)) =>  (! [B] :  ( (v1_modelc_2(B) &  (v5_modelc_3(B) & m2_finseq_1(B, k4_ordinal1)) )  =>  (! [C] :  (m2_orders_1(C, k1_orders_1(k1_modelc_3(B)), k6_partfun1(k1_orders_1(k1_modelc_3(B)))) =>  (! [D] :  ( (v1_modelc_3(D, B) & l1_modelc_3(D, B))  =>  (r8_modelc_2(A, k14_modelc_3(B, D)) =>  (v3_modelc_3(D, B) |  (! [E] :  (v7_ordinal1(E) =>  (E=k35_modelc_3(A, B, C, D) <=>  ( (! [F] :  (v7_ordinal1(F) =>  ( ~ (r1_xxreal_0(E, F))  =>  ( ~ (v3_modelc_3(k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(B), k26_modelc_3(A, B, C), F), D), B), B))  & r4_modelc_3(B, k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(B), k26_modelc_3(A, B, C), F), D), B), k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(B), k26_modelc_3(A, B, C), k1_nat_1(F, 1)), D), B))) ) ) )  &  (v3_modelc_3(k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(B), k26_modelc_3(A, B, C), E), D), B), B) &  (! [F] :  (v7_ordinal1(F) =>  (r1_xxreal_0(F, E) => r8_modelc_2(A, k14_modelc_3(B, k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(B), k26_modelc_3(A, B, C), F), D), B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d49_modelc_3, axiom,  (! [A] :  (m1_subset_1(A, k25_modelc_2(k43_modelc_2)) =>  (! [B] :  ( (v1_modelc_2(B) &  (v5_modelc_3(B) & m2_finseq_1(B, k4_ordinal1)) )  =>  (! [C] :  (m2_orders_1(C, k1_orders_1(k1_modelc_3(B)), k6_partfun1(k1_orders_1(k1_modelc_3(B)))) =>  (! [D] :  ( (v1_modelc_3(D, B) & l1_modelc_3(D, B))  =>  (r8_modelc_2(A, k14_modelc_3(B, k12_modelc_3(B, D))) =>  ( ( ~ (v3_modelc_3(k12_modelc_3(B, D), B))  => k36_modelc_3(A, B, C, D)=k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(B), k26_modelc_3(A, B, C), k35_modelc_3(A, B, C, k12_modelc_3(B, D))), k12_modelc_3(B, D)), B))  &  (v3_modelc_3(k12_modelc_3(B, D), B) => k36_modelc_3(A, B, C, D)=k9_modelc_3(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t69_modelc_3, axiom,  (! [A] :  (m1_subset_1(A, k25_modelc_2(k43_modelc_2)) =>  (! [B] :  ( (v1_modelc_2(B) &  (v5_modelc_3(B) & m2_finseq_1(B, k4_ordinal1)) )  =>  (! [C] :  (m2_orders_1(C, k1_orders_1(k1_modelc_3(B)), k6_partfun1(k1_orders_1(k1_modelc_3(B)))) =>  (! [D] :  ( (v1_modelc_3(D, B) &  (v3_modelc_3(D, B) & l1_modelc_3(D, B)) )  =>  (r8_modelc_2(A, k14_modelc_3(B, k12_modelc_3(B, D))) =>  (r6_modelc_3(B, D, k36_modelc_3(A, B, C, D)) & r8_modelc_2(A, k14_modelc_3(B, k36_modelc_3(A, B, C, D)))) ) ) ) ) ) ) ) ) ) ).
fof(d50_modelc_3, axiom,  (! [A] :  (m1_subset_1(A, k25_modelc_2(k43_modelc_2)) =>  (! [B] :  ( (v1_modelc_2(B) &  (v5_modelc_3(B) & m2_finseq_1(B, k4_ordinal1)) )  =>  (! [C] :  (m2_orders_1(C, k1_orders_1(k1_modelc_3(B)), k6_partfun1(k1_orders_1(k1_modelc_3(B)))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k23_modelc_3(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k23_modelc_3(B))))) )  =>  (D=k37_modelc_3(A, B, C) <=>  (k8_nat_1(k23_modelc_3(B), D, k5_numbers)=k11_modelc_3(B) &  (! [E] :  (v7_ordinal1(E) => k8_nat_1(k23_modelc_3(B), D, k1_nat_1(E, 1))=k36_modelc_3(k29_modelc_2(k43_modelc_2, A, E), B, C, k10_modelc_3(k8_nat_1(k23_modelc_3(B), D, E), B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_modelc_3, axiom,  (! [A] :  (m1_subset_1(A, k25_modelc_2(k43_modelc_2)) =>  (! [B] :  ( (v1_modelc_2(B) &  (v5_modelc_3(B) & m2_finseq_1(B, k4_ordinal1)) )  =>  (! [C] :  ( (v1_modelc_3(C, B) & l1_modelc_3(C, B))  =>  (r8_modelc_2(A, k14_modelc_3(B, C)) => r8_modelc_2(k29_modelc_2(k43_modelc_2, A, 1), k14_modelc_3(B, k12_modelc_3(B, C)))) ) ) ) ) ) ) ).
fof(t71_modelc_3, axiom,  (! [A] :  (m1_subset_1(A, k25_modelc_2(k43_modelc_2)) =>  (! [B] :  ( (v1_modelc_2(B) &  (v5_modelc_3(B) & m2_finseq_1(B, k4_ordinal1)) )  =>  (r7_modelc_2(A, k6_modelc_2(B)) => r8_modelc_2(A, k14_modelc_3(B, k11_modelc_3(B)))) ) ) ) ) ).
fof(t72_modelc_3, axiom,  (! [A] :  (m1_subset_1(A, k25_modelc_2(k43_modelc_2)) =>  (! [B] :  ( (v1_modelc_2(B) &  (v5_modelc_3(B) & m2_finseq_1(B, k4_ordinal1)) )  =>  (r7_modelc_2(A, B) <=> r8_modelc_2(A, k14_modelc_3(B, k12_modelc_3(B, k11_modelc_3(B))))) ) ) ) ) ).
fof(t73_modelc_3, axiom,  (! [A] :  (m1_subset_1(A, k25_modelc_2(k43_modelc_2)) =>  (! [B] :  ( (v1_modelc_2(B) &  (v5_modelc_3(B) & m2_finseq_1(B, k4_ordinal1)) )  =>  (! [C] :  (m2_orders_1(C, k1_orders_1(k1_modelc_3(B)), k6_partfun1(k1_orders_1(k1_modelc_3(B)))) =>  (r7_modelc_2(A, B) =>  (! [D] :  (v7_ordinal1(D) =>  (r6_modelc_3(B, k10_modelc_3(k8_nat_1(k23_modelc_3(B), k37_modelc_3(A, B, C), D), B), k10_modelc_3(k8_nat_1(k23_modelc_3(B), k37_modelc_3(A, B, C), k1_nat_1(D, 1)), B)) & r8_modelc_2(k29_modelc_2(k43_modelc_2, A, D), k14_modelc_3(B, k12_modelc_3(B, k10_modelc_3(k8_nat_1(k23_modelc_3(B), k37_modelc_3(A, B, C), D), B))))) ) ) ) ) ) ) ) ) ) ).
fof(t74_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k25_modelc_2(k43_modelc_2)) =>  (! [C] :  ( (v1_modelc_2(C) &  (v5_modelc_3(C) & m2_finseq_1(C, k4_ordinal1)) )  =>  (! [D] :  (m2_orders_1(D, k1_orders_1(k1_modelc_3(C)), k6_partfun1(k1_orders_1(k1_modelc_3(C)))) =>  (r7_modelc_2(B, C) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(A, u1_modelc_3(C, k10_modelc_3(k8_nat_1(k23_modelc_3(C), k37_modelc_3(B, C, D), k1_nat_1(E, 1)), C))) &  (v7_modelc_2(A) & r7_modelc_2(k29_modelc_2(k43_modelc_2, B, E), k12_modelc_2(A))) )  => r2_tarski(k12_modelc_2(A), u1_modelc_3(C, k10_modelc_3(k8_nat_1(k23_modelc_3(C), k37_modelc_3(B, C, D), k1_nat_1(E, 1)), C)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_modelc_3, axiom,  (! [A] :  (m1_subset_1(A, k25_modelc_2(k43_modelc_2)) =>  (! [B] :  ( (v1_modelc_2(B) &  (v5_modelc_3(B) & m2_finseq_1(B, k4_ordinal1)) )  =>  (r7_modelc_2(A, B) => r9_modelc_3(k43_modelc_2, k34_modelc_3(B), A)) ) ) ) ) ).
fof(t76_modelc_3, axiom,  (! [A] :  (m1_subset_1(A, k25_modelc_2(k43_modelc_2)) =>  (! [B] :  ( (v1_modelc_2(B) &  (v5_modelc_3(B) & m2_finseq_1(B, k4_ordinal1)) )  =>  (r9_modelc_3(k43_modelc_2, k34_modelc_3(B), A) <=> r7_modelc_2(A, B)) ) ) ) ) ).
fof(dt_k1_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  => m1_subset_1(k1_modelc_3(A), k1_zfmisc_1(k9_modelc_2))) ) ).
fof(redefinition_k1_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  => k1_modelc_3(A)=k13_modelc_2(A)) ) ).
fof(dt_k2_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  => m1_subset_1(k2_modelc_3(A), k1_zfmisc_1(k1_modelc_3(A)))) ) ).
fof(dt_k3_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  => m1_subset_1(k3_modelc_3(A), k1_zfmisc_1(k1_modelc_3(A)))) ) ).
fof(dt_k4_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  => m1_subset_1(k4_modelc_3(A), k1_zfmisc_1(k1_modelc_3(A)))) ) ).
fof(abstractness_v1_modelc_3, axiom,  (! [A, B] :  ( ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  & l1_modelc_3(B, A))  =>  (v1_modelc_3(B, A) => B=g1_modelc_3(A, u1_modelc_3(A, B), u2_modelc_3(A, B), u3_modelc_3(A, B))) ) ) ).
fof(existence_l1_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  =>  (? [B] : l1_modelc_3(B, A)) ) ) ).
fof(dt_g1_modelc_3, axiom,  (! [A, B, C, D] :  ( ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  &  (m1_subset_1(B, k1_zfmisc_1(k1_modelc_3(A))) &  (m1_subset_1(C, k1_zfmisc_1(k1_modelc_3(A))) & m1_subset_1(D, k1_zfmisc_1(k1_modelc_3(A)))) ) )  =>  (v1_modelc_3(g1_modelc_3(A, B, C, D), A) & l1_modelc_3(g1_modelc_3(A, B, C, D), A)) ) ) ).
fof(free_g1_modelc_3, axiom,  (! [A, B, C, D] :  ( ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  &  (m1_subset_1(B, k1_zfmisc_1(k1_modelc_3(A))) &  (m1_subset_1(C, k1_zfmisc_1(k1_modelc_3(A))) & m1_subset_1(D, k1_zfmisc_1(k1_modelc_3(A)))) ) )  =>  (! [E, F, G, H] :  (g1_modelc_3(A, B, C, D)=g1_modelc_3(E, F, G, H) =>  (A=E &  (B=F &  (C=G & D=H) ) ) ) ) ) ) ).
fof(dt_u1_modelc_3, axiom,  (! [A, B] :  ( ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  & l1_modelc_3(B, A))  => m1_subset_1(u1_modelc_3(A, B), k1_zfmisc_1(k1_modelc_3(A)))) ) ).
fof(dt_u2_modelc_3, axiom,  (! [A, B] :  ( ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  & l1_modelc_3(B, A))  => m1_subset_1(u2_modelc_3(A, B), k1_zfmisc_1(k1_modelc_3(A)))) ) ).
fof(dt_u3_modelc_3, axiom,  (! [A, B] :  ( ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  & l1_modelc_3(B, A))  => m1_subset_1(u3_modelc_3(A, B), k1_zfmisc_1(k1_modelc_3(A)))) ) ).
fof(dt_k5_modelc_3, axiom,  (! [A, B, C] :  ( ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  &  (l1_modelc_3(B, A) &  (v1_modelc_2(C) & m1_finseq_1(C, k4_ordinal1)) ) )  =>  (v1_modelc_3(k5_modelc_3(A, B, C), A) & l1_modelc_3(k5_modelc_3(A, B, C), A)) ) ) ).
fof(dt_k6_modelc_3, axiom,  (! [A, B, C] :  ( ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  &  (l1_modelc_3(B, A) &  (v1_modelc_2(C) & m1_finseq_1(C, k4_ordinal1)) ) )  =>  (v1_modelc_3(k6_modelc_3(A, B, C), A) & l1_modelc_3(k6_modelc_3(A, B, C), A)) ) ) ).
fof(dt_k7_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  => m1_subset_1(k7_modelc_3(A), k1_zfmisc_1(k1_modelc_3(A)))) ) ).
fof(dt_k8_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  => m1_subset_1(k8_modelc_3(A), k1_zfmisc_1(k1_modelc_3(A)))) ) ).
fof(dt_k9_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  =>  (v1_modelc_3(k9_modelc_3(A), A) &  (v3_modelc_3(k9_modelc_3(A), A) & l1_modelc_3(k9_modelc_3(A), A)) ) ) ) ).
fof(dt_k10_modelc_3, axiom,  (! [A, B] :  ( (v1_modelc_2(B) & m1_finseq_1(B, k4_ordinal1))  =>  (v1_modelc_3(k10_modelc_3(A, B), B) & l1_modelc_3(k10_modelc_3(A, B), B)) ) ) ).
fof(dt_k11_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  =>  (v1_modelc_3(k11_modelc_3(A), A) &  (v3_modelc_3(k11_modelc_3(A), A) & l1_modelc_3(k11_modelc_3(A), A)) ) ) ) ).
fof(dt_k12_modelc_3, axiom,  (! [A, B] :  ( ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  & l1_modelc_3(B, A))  =>  (v1_modelc_3(k12_modelc_3(A, B), A) & l1_modelc_3(k12_modelc_3(A, B), A)) ) ) ).
fof(dt_k13_modelc_3, axiom,  (! [A, B] :  ( ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  & m1_subset_1(B, k1_zfmisc_1(k1_modelc_3(A))))  => m1_subset_1(k13_modelc_3(A, B), k1_zfmisc_1(k9_modelc_2))) ) ).
fof(dt_k14_modelc_3, axiom,  (! [A, B] :  ( ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  &  (v1_modelc_3(B, A) & l1_modelc_3(B, A)) )  => m1_subset_1(k14_modelc_3(A, B), k1_zfmisc_1(k9_modelc_2))) ) ).
fof(dt_k15_modelc_3, axiom,  (! [A, B, C, D] :  ( ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  &  (m1_subset_1(B, k1_zfmisc_1(k13_modelc_2(A))) &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) )  => v7_ordinal1(k15_modelc_3(A, B, C, D))) ) ).
fof(dt_k16_modelc_3, axiom,  (! [A, B, C] :  ( ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  &  (m1_subset_1(B, k1_zfmisc_1(k13_modelc_2(A))) &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) )  =>  (v1_funct_1(k16_modelc_3(A, B, C)) &  (v1_funct_2(k16_modelc_3(A, B, C), k4_ordinal1, k1_numbers) & m1_subset_1(k16_modelc_3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k17_modelc_3, axiom,  (! [A, B, C] :  ( ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  &  (m1_subset_1(B, k1_zfmisc_1(k13_modelc_2(A))) &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) )  => v1_xreal_0(k17_modelc_3(A, B, C))) ) ).
fof(dt_k18_modelc_3, axiom,  (! [A, B] :  ( ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  & m1_subset_1(B, k1_zfmisc_1(k13_modelc_2(A))))  => v1_xreal_0(k18_modelc_3(A, B))) ) ).
fof(dt_k19_modelc_3, axiom,  (! [A, B] :  ( ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  &  (v1_modelc_2(B) & m1_finseq_1(B, k4_ordinal1)) )  => m1_subset_1(k19_modelc_3(A, B), k1_zfmisc_1(k1_modelc_3(A)))) ) ).
fof(dt_k20_modelc_3, axiom,  (! [A, B] :  ( ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  &  (v1_modelc_2(B) & m1_finseq_1(B, k4_ordinal1)) )  => m1_subset_1(k20_modelc_3(A, B), k1_zfmisc_1(k1_modelc_3(A)))) ) ).
fof(dt_k21_modelc_3, axiom,  (! [A, B] :  ( ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  &  (v1_modelc_3(B, A) & l1_modelc_3(B, A)) )  => v7_ordinal1(k21_modelc_3(A, B))) ) ).
fof(dt_k22_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  =>  ~ (v1_xboole_0(k22_modelc_3(A))) ) ) ).
fof(dt_k23_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  =>  ~ (v1_xboole_0(k23_modelc_3(A))) ) ) ).
fof(dt_k24_modelc_3, axiom,  (! [A, B, C] :  ( ( (v1_modelc_2(A) & m1_finseq_1(A, k4_ordinal1))  &  (m1_orders_1(B, k6_partfun1(k1_orders_1(k1_modelc_3(A)))) &  (v1_modelc_3(C, A) & l1_modelc_3(C, A)) ) )  =>  (v1_modelc_2(k24_modelc_3(A, B, C)) & m2_finseq_1(k24_modelc_3(A, B, C), k4_ordinal1)) ) ) ).
fof(dt_k25_modelc_3, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, k25_modelc_2(k43_modelc_2)) &  ( (v1_modelc_2(B) & m1_finseq_1(B, k4_ordinal1))  &  (m1_orders_1(C, k6_partfun1(k1_orders_1(k1_modelc_3(B)))) &  (v1_modelc_3(D, B) & l1_modelc_3(D, B)) ) ) )  =>  (v1_modelc_3(k25_modelc_3(A, B, C, D), B) & l1_modelc_3(k25_modelc_3(A, B, C, D), B)) ) ) ).
fof(dt_k26_modelc_3, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k25_modelc_2(k43_modelc_2)) &  ( (v1_modelc_2(B) & m1_finseq_1(B, k4_ordinal1))  & m1_orders_1(C, k6_partfun1(k1_orders_1(k1_modelc_3(B))))) )  =>  (v1_funct_1(k26_modelc_3(A, B, C)) &  (v1_funct_2(k26_modelc_3(A, B, C), k22_modelc_3(B), k22_modelc_3(B)) & m1_subset_1(k26_modelc_3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k22_modelc_3(B), k22_modelc_3(B))))) ) ) ) ).
fof(abstractness_v7_modelc_3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & l2_modelc_3(B, A))  =>  (v7_modelc_3(B, A) => B=g2_modelc_3(A, u1_struct_0(B), u4_modelc_3(A, B), u5_modelc_3(A, B), u6_modelc_3(A, B))) ) ) ).
fof(dt_l2_modelc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (l2_modelc_3(B, A) => l1_struct_0(B)) ) ) ) ).
fof(existence_l2_modelc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] : l2_modelc_3(B, A)) ) ) ).
fof(dt_g2_modelc_3, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, A), B))) &  (m1_subset_1(D, k1_zfmisc_1(B)) & m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (v7_modelc_3(g2_modelc_3(A, B, C, D, E), A) & l2_modelc_3(g2_modelc_3(A, B, C, D, E), A)) ) ) ).
fof(free_g2_modelc_3, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, A), B))) &  (m1_subset_1(D, k1_zfmisc_1(B)) & m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [F, G, H, I, J] :  (g2_modelc_3(A, B, C, D, E)=g2_modelc_3(F, G, H, I, J) =>  (A=F &  (B=G &  (C=H &  (D=I & E=J) ) ) ) ) ) ) ) ).
fof(dt_u4_modelc_3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & l2_modelc_3(B, A))  => m1_subset_1(u4_modelc_3(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), A), u1_struct_0(B))))) ) ).
fof(dt_u5_modelc_3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & l2_modelc_3(B, A))  => m1_subset_1(u5_modelc_3(A, B), k1_zfmisc_1(u1_struct_0(B)))) ) ).
fof(dt_u6_modelc_3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & l2_modelc_3(B, A))  => m1_subset_1(u6_modelc_3(A, B), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B))))) ) ).
fof(dt_k27_modelc_3, axiom,  (! [A, B] :  ( ( (v1_modelc_2(A) &  (v5_modelc_3(A) & m1_finseq_1(A, k4_ordinal1)) )  &  (v1_modelc_3(B, A) & l1_modelc_3(B, A)) )  => m1_subset_1(k27_modelc_3(A, B), k1_zfmisc_1(k9_modelc_2))) ) ).
fof(dt_k28_modelc_3, axiom,  (! [A, B] :  ( ( (v1_modelc_2(A) &  (v5_modelc_3(A) & m1_finseq_1(A, k4_ordinal1)) )  &  (v1_modelc_3(B, A) & l1_modelc_3(B, A)) )  => m1_subset_1(k28_modelc_3(A, B), k1_zfmisc_1(k9_modelc_2))) ) ).
fof(dt_k30_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) &  (v5_modelc_3(A) & m1_finseq_1(A, k4_ordinal1)) )  => m1_subset_1(k30_modelc_3(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k23_modelc_3(A), k43_modelc_2), k23_modelc_3(A))))) ) ).
fof(dt_k31_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) &  (v5_modelc_3(A) & m1_finseq_1(A, k4_ordinal1)) )  => m1_subset_1(k31_modelc_3(A), k1_zfmisc_1(k23_modelc_3(A)))) ) ).
fof(dt_k32_modelc_3, axiom,  (! [A, B] :  ( ( (v1_modelc_2(A) &  (v5_modelc_3(A) & m1_finseq_1(A, k4_ordinal1)) )  &  (v1_modelc_2(B) & m1_finseq_1(B, k4_ordinal1)) )  => m1_subset_1(k32_modelc_3(A, B), k1_zfmisc_1(k23_modelc_3(A)))) ) ).
fof(dt_k33_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) &  (v5_modelc_3(A) & m1_finseq_1(A, k4_ordinal1)) )  => m1_subset_1(k33_modelc_3(A), k1_zfmisc_1(k1_zfmisc_1(k23_modelc_3(A))))) ) ).
fof(dt_k34_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) &  (v5_modelc_3(A) & m1_finseq_1(A, k4_ordinal1)) )  => l2_modelc_3(k34_modelc_3(A), k43_modelc_2)) ) ).
fof(dt_k35_modelc_3, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, k25_modelc_2(k43_modelc_2)) &  ( (v1_modelc_2(B) &  (v5_modelc_3(B) & m1_finseq_1(B, k4_ordinal1)) )  &  (m1_orders_1(C, k6_partfun1(k1_orders_1(k1_modelc_3(B)))) &  (v1_modelc_3(D, B) & l1_modelc_3(D, B)) ) ) )  => v7_ordinal1(k35_modelc_3(A, B, C, D))) ) ).
fof(dt_k36_modelc_3, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, k25_modelc_2(k43_modelc_2)) &  ( (v1_modelc_2(B) &  (v5_modelc_3(B) & m1_finseq_1(B, k4_ordinal1)) )  &  (m1_orders_1(C, k6_partfun1(k1_orders_1(k1_modelc_3(B)))) &  (v1_modelc_3(D, B) & l1_modelc_3(D, B)) ) ) )  =>  (v1_modelc_3(k36_modelc_3(A, B, C, D), B) &  (v3_modelc_3(k36_modelc_3(A, B, C, D), B) & l1_modelc_3(k36_modelc_3(A, B, C, D), B)) ) ) ) ).
fof(dt_k37_modelc_3, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k25_modelc_2(k43_modelc_2)) &  ( (v1_modelc_2(B) &  (v5_modelc_3(B) & m1_finseq_1(B, k4_ordinal1)) )  & m1_orders_1(C, k6_partfun1(k1_orders_1(k1_modelc_3(B))))) )  =>  (v1_funct_1(k37_modelc_3(A, B, C)) &  (v1_funct_2(k37_modelc_3(A, B, C), k4_ordinal1, k23_modelc_3(B)) & m1_subset_1(k37_modelc_3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k23_modelc_3(B))))) ) ) ) ).
fof(d31_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) & m2_finseq_1(A, k4_ordinal1))  => k23_modelc_3(A)=a_1_0_modelc_3(A)) ) ).
fof(d39_modelc_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (l2_modelc_3(B, A) =>  (! [C] :  (m1_subset_1(C, k25_modelc_2(A)) =>  (r9_modelc_3(A, B, C) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  &  (r2_tarski(k8_nat_1(u1_struct_0(B), D, k5_numbers), u5_modelc_3(A, B)) &  (! [E] :  (v7_ordinal1(E) =>  (r2_hidden(k4_tarski(k4_tarski(k8_nat_1(u1_struct_0(B), D, E), k8_nat_1(A, k27_modelc_2(A, C), E)), k8_nat_1(u1_struct_0(B), D, k1_nat_1(E, 1))), u4_modelc_3(A, B)) &  (! [F] :  (r2_tarski(F, u6_modelc_3(A, B)) =>  ~ (v1_finset_1(a_4_0_modelc_3(A, B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d40_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) &  (v5_modelc_3(A) & m2_finseq_1(A, k4_ordinal1)) )  =>  (! [B] :  ( (v1_modelc_3(B, A) & l1_modelc_3(B, A))  => k27_modelc_3(A, B)=a_2_0_modelc_3(A, B)) ) ) ) ).
fof(d41_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) &  (v5_modelc_3(A) & m2_finseq_1(A, k4_ordinal1)) )  =>  (! [B] :  ( (v1_modelc_3(B, A) & l1_modelc_3(B, A))  => k28_modelc_3(A, B)=a_2_1_modelc_3(A, B)) ) ) ) ).
fof(d42_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) &  (v5_modelc_3(A) & m2_finseq_1(A, k4_ordinal1)) )  =>  (! [B] :  ( (v1_modelc_3(B, A) & l1_modelc_3(B, A))  => k29_modelc_3(A, B)=a_2_2_modelc_3(A, B)) ) ) ) ).
fof(d43_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) &  (v5_modelc_3(A) & m2_finseq_1(A, k4_ordinal1)) )  => k30_modelc_3(A)=a_1_1_modelc_3(A)) ) ).
fof(d45_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) &  (v5_modelc_3(A) & m2_finseq_1(A, k4_ordinal1)) )  =>  (! [B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  => k32_modelc_3(A, B)=a_2_3_modelc_3(A, B)) ) ) ) ).
fof(d46_modelc_3, axiom,  (! [A] :  ( (v1_modelc_2(A) &  (v5_modelc_3(A) & m2_finseq_1(A, k4_ordinal1)) )  => k33_modelc_3(A)=a_1_2_modelc_3(A)) ) ).
fof(fraenkel_a_1_0_modelc_3, axiom,  (! [A, B] :  ( (v1_modelc_2(B) & m2_finseq_1(B, k4_ordinal1))  =>  (r2_hidden(A, a_1_0_modelc_3(B)) <=>  (? [C] :  (m1_subset_1(C, k22_modelc_3(B)) &  (A=C &  (v1_modelc_3(C, B) &  (v3_modelc_3(C, B) & l1_modelc_3(C, B)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_modelc_3, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  (l2_modelc_3(C, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(C))))) ) ) )  =>  (r2_hidden(A, a_4_0_modelc_3(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, k4_ordinal1) &  (A=F & r2_tarski(k8_nat_1(u1_struct_0(C), D, F), E)) ) ) ) ) ) ).
fof(fraenkel_a_2_0_modelc_3, axiom,  (! [A, B, C] :  ( ( (v1_modelc_2(B) &  (v5_modelc_3(B) & m2_finseq_1(B, k4_ordinal1)) )  &  (v1_modelc_3(C, B) & l1_modelc_3(C, B)) )  =>  (r2_hidden(A, a_2_0_modelc_3(B, C)) <=>  (? [D] :  ( (v1_modelc_2(D) & m2_finseq_1(D, k4_ordinal1))  &  (A=D &  (v2_modelc_2(D) & r2_tarski(D, u1_modelc_3(B, C))) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_modelc_3, axiom,  (! [A, B, C] :  ( ( (v1_modelc_2(B) &  (v5_modelc_3(B) & m2_finseq_1(B, k4_ordinal1)) )  &  (v1_modelc_3(C, B) & l1_modelc_3(C, B)) )  =>  (r2_hidden(A, a_2_1_modelc_3(B, C)) <=>  (? [D] :  ( (v1_modelc_2(D) & m2_finseq_1(D, k4_ordinal1))  &  (A=D &  (v2_modelc_2(D) & r2_tarski(k3_modelc_2(D), u1_modelc_3(B, C))) ) ) ) ) ) ) ).
fof(fraenkel_a_2_2_modelc_3, axiom,  (! [A, B, C] :  ( ( (v1_modelc_2(B) &  (v5_modelc_3(B) & m2_finseq_1(B, k4_ordinal1)) )  &  (v1_modelc_3(C, B) & l1_modelc_3(C, B)) )  =>  (r2_hidden(A, a_2_2_modelc_3(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(k15_modelc_2)) &  (A=D &  (r1_tarski(k27_modelc_3(B, C), D) & r1_xboole_0(k28_modelc_3(B, C), D)) ) ) ) ) ) ) ).
fof(fraenkel_a_1_1_modelc_3, axiom,  (! [A, B] :  ( (v1_modelc_2(B) &  (v5_modelc_3(B) & m2_finseq_1(B, k4_ordinal1)) )  =>  (r2_hidden(A, a_1_1_modelc_3(B)) <=>  (? [C] :  (m1_subset_1(C, k3_zfmisc_1(k23_modelc_3(B), k43_modelc_2, k23_modelc_3(B))) &  (A=C &  (? [D] :  ( (v1_modelc_3(D, B) &  (v3_modelc_3(D, B) & l1_modelc_3(D, B)) )  &  (? [E] :  ( (v1_modelc_3(E, B) &  (v3_modelc_3(E, B) & l1_modelc_3(E, B)) )  &  (? [F] :  (C=k4_tarski(k4_tarski(D, F), E) &  (r6_modelc_3(B, D, E) & r2_tarski(F, k29_modelc_3(B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_3_modelc_3, axiom,  (! [A, B, C] :  ( ( (v1_modelc_2(B) &  (v5_modelc_3(B) & m2_finseq_1(B, k4_ordinal1)) )  &  (v1_modelc_2(C) & m2_finseq_1(C, k4_ordinal1)) )  =>  (r2_hidden(A, a_2_3_modelc_3(B, C)) <=>  (? [D] :  (m1_subset_1(D, k23_modelc_3(B)) &  (A=D &  ~ ( (r2_tarski(C, u1_modelc_3(B, k10_modelc_3(D, B))) &  ~ (r2_tarski(k12_modelc_2(C), u1_modelc_3(B, k10_modelc_3(D, B)))) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_2_modelc_3, axiom,  (! [A, B] :  ( (v1_modelc_2(B) &  (v5_modelc_3(B) & m2_finseq_1(B, k4_ordinal1)) )  =>  (r2_hidden(A, a_1_2_modelc_3(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k23_modelc_3(B))) &  (A=C &  (? [D] :  ( (v1_modelc_2(D) & m2_finseq_1(D, k4_ordinal1))  &  (r2_modelc_2(D, B) &  (v7_modelc_2(D) & C=k32_modelc_3(B, D)) ) ) ) ) ) ) ) ) ) ).
fof(rc1_moebius1, axiom,  (? [A] :  (m1_subset_1(A, k4_ordinal1) &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  ( ~ (v1_int_2(A))  &  (v1_finset_1(A) &  (v1_card_1(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  & v1_rat_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_moebius1, axiom,  (v1_relat_1(k19_finseq_1(k1_xboole_0)) &  (v1_xboole_0(k19_finseq_1(k1_xboole_0)) &  (v1_funct_1(k19_finseq_1(k1_xboole_0)) & v1_finseq_1(k19_finseq_1(k1_xboole_0))) ) ) ).
fof(cc1_moebius1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (v1_int_2(A) =>  ~ (v1_moebius1(A)) ) ) ) ).
fof(rc2_moebius1, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_finset_1(A) &  (v1_card_1(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  ~ (v1_moebius1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_moebius1, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_finset_1(A) &  (v1_card_1(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  & v1_moebius1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc2_moebius1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v7_ordinal1(A) & v1_pythtrip(A)) )  =>  (v7_ordinal1(A) & v1_moebius1(A)) ) ) ).
fof(fc2_moebius1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_moebius1(A)) )  =>  ( ~ (v8_ordinal1(k2_moebius1(A)))  & v1_xreal_0(k2_moebius1(A))) ) ) ).
fof(fc3_moebius1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (v1_finset_1(k3_moebius1(A)) & v1_setfam_1(k3_moebius1(A))) ) ) ).
fof(fc4_moebius1, axiom,  (! [A] :  (v1_relat_1(k4_moebius1(A)) &  (v4_relat_1(k4_moebius1(A), k4_ordinal1) &  (v1_funct_1(k4_moebius1(A)) &  (v1_partfun1(k4_moebius1(A), k4_ordinal1) & v3_valued_0(k4_moebius1(A))) ) ) ) ) ).
fof(fc5_moebius1, axiom,  (! [A] :  (v1_finset_1(A) =>  (v1_relat_1(k4_moebius1(A)) &  (v4_relat_1(k4_moebius1(A), k4_ordinal1) &  (v1_funct_1(k4_moebius1(A)) &  (v1_partfun1(k4_moebius1(A), k4_ordinal1) & v2_pre_poly(k4_moebius1(A))) ) ) ) ) ) ).
fof(fc6_moebius1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (v1_relat_1(k5_moebius1(A)) &  (v4_relat_1(k5_moebius1(A), k8_newton) &  (v1_funct_1(k5_moebius1(A)) &  (v1_partfun1(k5_moebius1(A), k8_newton) &  (v4_valued_0(k5_moebius1(A)) & v2_pre_poly(k5_moebius1(A))) ) ) ) ) ) ) ).
fof(fc7_moebius1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ~ (v8_ordinal1(k6_moebius1(A))) ) ) ).
fof(fc8_moebius1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ~ (v1_moebius1(k6_moebius1(A))) ) ) ).
fof(t1_moebius1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ( ~ (A=1)  => r1_xxreal_0(2, A)) ) ) ).
fof(t2_moebius1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(1, A) =>  (r2_tarski(C, k2_finseq_1(B)) <=> r2_tarski(k3_xcmplx_0(A, C), k2_finseq_1(k3_xcmplx_0(A, B)))) ) ) ) ) ) ) ) ).
fof(t3_moebius1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ~ ( (r1_int_2(A, B) &  (r1_xxreal_0(A, k5_numbers) & r1_xxreal_0(B, k5_numbers)) ) ) ) ) ) ) ).
fof(t4_moebius1, axiom,  (! [A] :  ( ( ~ (v1_int_2(A))  & m1_subset_1(A, k4_ordinal1))  =>  ~ ( ( ~ (A=1)  &  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  ~ ( (r1_nat_d(B, A) &  ~ (B=A) ) ) ) ) ) ) ) ) ).
fof(t5_moebius1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (A=1)  &  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  ~ (r1_nat_d(B, A)) ) ) ) ) ) ) ).
fof(t6_moebius1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (r1_nat_d(A, B) <=>  ~ (r1_xxreal_0(k11_nat_3(B, A), k5_numbers)) ) ) ) ) ) ).
fof(t7_moebius1, axiom, k22_pre_poly(k8_newton, k13_nat_3(1))=k1_xboole_0).
fof(t8_moebius1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  => k22_pre_poly(k8_newton, k13_nat_3(A))=k1_tarski(A)) ) ).
fof(t9_moebius1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v7_ordinal1(C) & v1_int_2(C))  =>  (r1_xxreal_0(A, k11_nat_3(B, C)) =>  (B=k5_numbers | r1_nat_d(k1_newton(C, A), B)) ) ) ) ) ) ) ) ).
fof(t10_moebius1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (r1_nat_d(k1_newton(B, 2), A) => r1_nat_d(B, A)) ) ) ) ) ).
fof(t11_moebius1, axiom,  (! [A] :  ( (v1_int_2(A) & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & m1_subset_1(C, k4_ordinal1))  =>  ~ ( (r1_int_2(B, C) &  (r1_nat_d(k11_newton(A, 2), k2_nat_1(B, C)) &  ( ~ (r1_nat_d(k11_newton(A, 2), B))  &  ~ (r1_nat_d(k11_newton(A, 2), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_moebius1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_partfun1(B, k4_ordinal1) &  (v3_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (k13_pre_poly(B)=k1_tarski(A) => k2_uproots(k4_ordinal1, B)=k1_funct_1(B, A)) ) ) ) ) ).
fof(t14_moebius1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (? [B] :  (m1_subset_1(B, k4_ordinal1) & r1_tarski(k22_pre_poly(k8_newton, k13_nat_3(A)), k2_finseq_1(B))) ) ) ) ).
fof(t15_moebius1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  ( ~ (r2_tarski(B, k22_pre_poly(k8_newton, k13_nat_3(A))))  => k11_nat_3(A, B)=k5_numbers) ) ) ) ) ).
fof(t16_moebius1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (r1_tarski(k22_pre_poly(k8_newton, k13_nat_3(B)), k2_finseq_1(k1_nat_1(A, 1))) =>  (r1_tarski(k22_pre_poly(k8_newton, k13_nat_3(B)), k2_finseq_1(A)) |  (v7_ordinal1(k1_nat_1(A, 1)) & v1_int_2(k1_nat_1(A, 1))) ) ) ) ) ) ) ).
fof(t17_moebius1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  ( (! [C] :  ( (v7_ordinal1(C) & v1_int_2(C))  => r1_xxreal_0(k11_nat_3(A, C), k11_nat_3(B, C))) )  => r1_tarski(k22_pre_poly(k8_newton, k13_nat_3(A)), k22_pre_poly(k8_newton, k13_nat_3(B)))) ) ) ) ) ).
fof(t18_moebius1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  ~ ( (r1_tarski(k22_pre_poly(k8_newton, k13_nat_3(B)), k2_finseq_1(k1_nat_1(A, 1))) &  (! [C] :  ( ( ~ (v8_ordinal1(C))  & m1_subset_1(C, k4_ordinal1))  =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ~ ( (r1_tarski(k22_pre_poly(k8_newton, k13_nat_3(C)), k2_finseq_1(A)) &  (B=k2_nat_1(C, k11_newton(k1_nat_1(A, 1), D)) &  (! [E] :  ( (v7_ordinal1(E) & v1_int_2(E))  =>  ( (r2_tarski(E, k22_pre_poly(k8_newton, k13_nat_3(C))) => k11_nat_3(C, E)=k11_nat_3(B, E))  &  ( ~ (r2_tarski(E, k22_pre_poly(k8_newton, k13_nat_3(C))))  => r1_xxreal_0(k11_nat_3(C, E), k11_nat_3(B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_moebius1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  ( (! [C] :  ( (v7_ordinal1(C) & v1_int_2(C))  => r1_xxreal_0(k11_nat_3(A, C), k11_nat_3(B, C))) )  => r1_nat_d(A, B)) ) ) ) ) ).
fof(d1_moebius1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_moebius1(A) <=>  (? [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  & r1_nat_d(k1_newton(B, 2), A)) ) ) ) ) ).
fof(t20_moebius1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( (? [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  &  ( ~ (B=1)  & r1_nat_d(k1_newton(B, 2), A)) ) )  => v1_moebius1(A)) ) ) ).
fof(t21_moebius1, axiom, v1_moebius1(k5_numbers)).
fof(t22_moebius1, axiom,  ~ (v1_moebius1(1)) ).
fof(t23_moebius1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  ~ (v1_moebius1(A)) ) ) ).
fof(d2_moebius1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k4_ordinal1)) =>  (A=k1_moebius1 <=>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, A) <=>  ~ (v1_moebius1(B)) ) ) ) ) ) ) ).
fof(t24_moebius1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (v1_moebius1(A))  =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  => r1_xxreal_0(k11_nat_3(A, B), 1)) ) ) ) ) ).
fof(t25_moebius1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (v1_moebius1(k3_xcmplx_0(A, B)))  & v1_moebius1(A)) ) ) ) ) ) ).
fof(t26_moebius1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (v1_moebius1(A))  &  (r1_nat_d(B, A) & v1_moebius1(B)) ) ) ) ) ) ) ).
fof(t27_moebius1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_nat_d(A, B) & r1_nat_d(C, k3_nat_d(B, A)))  =>  (v1_moebius1(B) |  (r1_nat_d(C, B) &  ~ (r1_nat_d(A, C)) ) ) ) ) ) ) ) ) ) ).
fof(t28_moebius1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_nat_d(A, B) & r1_nat_d(C, B))  =>  (r1_nat_d(A, C) | r1_nat_d(C, k3_nat_d(B, A))) ) ) ) ) ) ) ) ).
fof(d3_moebius1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (v1_moebius1(A) =>  (B=k2_moebius1(A) <=> B=k5_numbers) )  &  ( ~ (v1_moebius1(A))  =>  (B=k2_moebius1(A) <=>  (? [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  &  (C=A & B=k1_newton(k4_xcmplx_0(1), k4_card_1(k22_pre_poly(k8_newton, k13_nat_3(C))))) ) ) ) ) ) ) ) ) ) ).
fof(t30_moebius1, axiom, k2_moebius1(1)=1).
fof(t31_moebius1, axiom, k2_moebius1(2)=k4_xcmplx_0(1)).
fof(t32_moebius1, axiom, k2_moebius1(3)=k4_xcmplx_0(1)).
fof(t33_moebius1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (v1_moebius1(A))  & k2_moebius1(A)=k5_numbers) ) ) ) ).
fof(t34_moebius1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  => k2_moebius1(A)=k4_xcmplx_0(1)) ) ).
fof(t35_moebius1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (r1_int_2(A, B) => k2_moebius1(k2_nat_1(A, B))=k3_xcmplx_0(k2_moebius1(A), k2_moebius1(B))) ) ) ) ) ).
fof(t36_moebius1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (r1_xxreal_0(1, B) =>  (v1_moebius1(k3_xcmplx_0(B, A)) | k2_moebius1(k3_xcmplx_0(B, A))=k4_xcmplx_0(k2_moebius1(B))) ) ) ) ) ) ).
fof(t37_moebius1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  ( ~ (r1_int_2(A, B))  => k2_moebius1(k2_nat_1(A, B))=k5_numbers) ) ) ) ) ).
fof(t38_moebius1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r2_tarski(A, k1_moebius1) <=>  ~ (k2_moebius1(A)=k5_numbers) ) ) ) ).
fof(t39_moebius1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k3_moebius1(A)) <=>  ( ~ (r1_xxreal_0(B, k5_numbers))  & r1_nat_d(B, A)) ) ) ) ) ) ).
fof(t40_moebius1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => r1_tarski(k3_moebius1(A), k2_finseq_1(A))) ) ).
fof(t41_moebius1, axiom, k3_moebius1(1)=k6_domain_1(k4_ordinal1, 1)).
fof(d5_moebius1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) )  =>  (B=k4_moebius1(A) <=>  (k13_pre_poly(B)=k9_subset_1(k4_ordinal1, A, k1_moebius1) &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r2_tarski(C, k13_pre_poly(B)) => k1_funct_1(B, C)=k2_moebius1(C)) ) ) ) ) ) ) ) ).
fof(t42_moebius1, axiom, k2_uproots(k4_ordinal1, k4_moebius1(k3_moebius1(1)))=1).
fof(t43_moebius1, axiom,  (! [A] :  ( (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k4_ordinal1)))  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k4_ordinal1)))  =>  (r1_xboole_0(A, B) => k2_xboole_0(k13_pre_poly(k4_moebius1(A)), k13_pre_poly(k4_moebius1(B)))=k13_pre_poly(k11_pre_poly(k4_ordinal1, k4_moebius1(A), k4_moebius1(B)))) ) ) ) ) ).
fof(t44_moebius1, axiom,  (! [A] :  ( (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k4_ordinal1)))  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k4_ordinal1)))  =>  (r1_xboole_0(A, B) => r8_pboole(k4_ordinal1, k4_moebius1(k4_subset_1(k4_ordinal1, A, B)), k11_pre_poly(k4_ordinal1, k4_moebius1(A), k4_moebius1(B)))) ) ) ) ) ).
fof(d6_moebius1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k8_newton) &  (v1_funct_1(B) & v1_partfun1(B, k8_newton)) ) )  =>  (B=k5_moebius1(A) <=>  (k13_pre_poly(B)=k22_pre_poly(k8_newton, k12_nat_3(A)) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k22_pre_poly(k8_newton, k12_nat_3(A))) => k1_funct_1(B, C)=C) ) ) ) ) ) ) ) ) ).
fof(t45_moebius1, axiom, r8_pboole(k8_newton, k5_moebius1(1), k16_pre_poly(k8_newton))).
fof(t46_moebius1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  => k3_relat_1(k9_finseq_1(A), k5_moebius1(A))=k9_finseq_1(A)) ) ).
fof(t47_moebius1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  => k3_relat_1(k9_finseq_1(A), k5_moebius1(k1_newton(A, B)))=k9_finseq_1(A)) ) ) ) ).
fof(t48_moebius1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (k11_nat_3(B, A)=k5_numbers => k1_recdef_1(k5_moebius1(B), A)=k5_numbers) ) ) ) ) ).
fof(t49_moebius1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  ( ~ (k11_nat_3(A, B)=k5_numbers)  => k1_recdef_1(k5_moebius1(A), B)=B) ) ) ) ) ).
fof(t50_moebius1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (r1_int_2(A, B) => r8_pboole(k8_newton, k5_moebius1(k2_nat_1(A, B)), k11_pre_poly(k8_newton, k5_moebius1(A), k5_moebius1(B)))) ) ) ) ) ).
fof(d7_moebius1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => k6_moebius1(A)=k8_nat_3(k8_newton, k5_moebius1(A))) ) ).
fof(t52_moebius1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ~ (r1_xxreal_0(k6_moebius1(A), k5_numbers)) ) ) ).
fof(t53_moebius1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  => A=k6_moebius1(A)) ) ).
fof(t54_moebius1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  => k6_moebius1(k1_newton(A, B))=A) ) ) ) ).
fof(t55_moebius1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => r1_nat_d(k6_moebius1(A), A)) ) ).
fof(t56_moebius1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (r1_nat_d(A, B) <=> r1_nat_d(A, k6_moebius1(B))) ) ) ) ) ).
fof(t57_moebius1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ( ~ (v1_moebius1(A))  => k6_moebius1(A)=A) ) ) ).
fof(t58_moebius1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => r1_xxreal_0(k6_moebius1(A), A)) ) ).
fof(t59_moebius1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  => r1_xxreal_0(k11_nat_3(k6_moebius1(B), A), k11_nat_3(B, A))) ) ) ) ).
fof(t60_moebius1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (k6_moebius1(A)=1 <=> A=1) ) ) ).
fof(t61_moebius1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  => r1_xxreal_0(k11_nat_3(k6_moebius1(B), A), 1)) ) ) ) ).
fof(t62_moebius1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => k6_moebius1(k6_moebius1(A))=k6_moebius1(A)) ) ).
fof(t65_moebius1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  ( (r1_nat_d(A, B) &  ~ (v1_moebius1(A)) )  <=> r1_nat_d(A, k6_moebius1(B))) ) ) ) ) ).
fof(s1_moebius1, axiom,  ( (r2_tarski(f1_s1_moebius1, f2_s1_moebius1) &  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  => r2_tarski(f3_s1_moebius1(A), f2_s1_moebius1)) ) )  =>  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, f2_s1_moebius1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f2_s1_moebius1)))) )  &  (k8_nat_1(f2_s1_moebius1, A, k5_numbers)=f1_s1_moebius1 &  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  => k8_nat_1(f2_s1_moebius1, A, B)=f3_s1_moebius1(B)) ) ) ) ) ) ).
fof(dt_f1_s1_moebius1, axiom, m1_subset_1(f1_s1_moebius1, k4_ordinal1)).
fof(dt_k1_moebius1, axiom, m1_subset_1(k1_moebius1, k1_zfmisc_1(k4_ordinal1))).
fof(dt_k2_moebius1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xreal_0(k2_moebius1(A))) ) ).
fof(dt_k3_moebius1, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k3_moebius1(A), k1_zfmisc_1(k4_ordinal1))) ) ).
fof(dt_k4_moebius1, axiom,  (! [A] :  (v1_relat_1(k4_moebius1(A)) &  (v4_relat_1(k4_moebius1(A), k4_ordinal1) &  (v1_funct_1(k4_moebius1(A)) & v1_partfun1(k4_moebius1(A), k4_ordinal1)) ) ) ) ).
fof(dt_k5_moebius1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (v1_relat_1(k5_moebius1(A)) &  (v4_relat_1(k5_moebius1(A), k8_newton) &  (v1_funct_1(k5_moebius1(A)) & v1_partfun1(k5_moebius1(A), k8_newton)) ) ) ) ) ).
fof(dt_k6_moebius1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => m1_subset_1(k6_moebius1(A), k4_ordinal1)) ) ).
fof(t13_moebius1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (r1_nat_d(B, A) => a_2_0_moebius1(A, B)=a_2_1_moebius1(A, B)) ) ) ) ) ).
fof(t29_moebius1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_nat_d(A, B) =>  (v1_moebius1(B) | a_2_2_moebius1(A, B)=a_2_3_moebius1(A, B)) ) ) ) ) ) ).
fof(d4_moebius1, axiom,  (! [A] :  (v7_ordinal1(A) => k3_moebius1(A)=a_1_0_moebius1(A)) ) ).
fof(t51_moebius1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k4_ordinal1)))  =>  (B=a_1_1_moebius1(A) => r8_pboole(k4_ordinal1, k4_moebius1(B), k16_pre_poly(k4_ordinal1))) ) ) ) ) ).
fof(t63_moebius1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  => r1_tarski(a_2_4_moebius1(A, B), k2_finseq_1(A))) ) ) ) ).
fof(t64_moebius1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  => r1_tarski(a_2_5_moebius1(A, B), k2_finseq_1(A))) ) ) ) ).
fof(t66_moebius1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => a_1_2_moebius1(A)=a_1_3_moebius1(A)) ) ).
fof(fraenkel_a_2_0_moebius1, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) &  (v7_ordinal1(C) & v1_int_2(C)) )  =>  (r2_hidden(A, a_2_0_moebius1(B, C)) <=>  (? [D] :  (m1_subset_1(D, k4_ordinal1) &  (A=D &  ( ~ (r1_xxreal_0(D, k5_numbers))  &  (r1_nat_d(D, B) & r1_nat_d(C, D)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_moebius1, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) &  (v7_ordinal1(C) & v1_int_2(C)) )  =>  (r2_hidden(A, a_2_1_moebius1(B, C)) <=>  (? [D] :  (m1_subset_1(D, k4_ordinal1) &  (A=k3_xcmplx_0(C, D) &  ( ~ (r1_xxreal_0(D, k5_numbers))  & r1_nat_d(D, k3_nat_d(B, C))) ) ) ) ) ) ) ).
fof(fraenkel_a_2_2_moebius1, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(B) & v1_int_2(B))  & v7_ordinal1(C))  =>  (r2_hidden(A, a_2_2_moebius1(B, C)) <=>  (? [D] :  (m1_subset_1(D, k4_ordinal1) &  (A=D &  ( ~ (r1_xxreal_0(D, k5_numbers))  &  (r1_nat_d(D, C) &  ~ (r1_nat_d(B, D)) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_3_moebius1, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(B) & v1_int_2(B))  & v7_ordinal1(C))  =>  (r2_hidden(A, a_2_3_moebius1(B, C)) <=>  (? [D] :  (m1_subset_1(D, k4_ordinal1) &  (A=D &  ( ~ (r1_xxreal_0(D, k5_numbers))  & r1_nat_d(D, k3_nat_d(C, B))) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_moebius1, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_0_moebius1(B)) <=>  (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (A=C &  ( ~ (C=k5_numbers)  & r1_nat_d(C, B)) ) ) ) ) ) ) ).
fof(fraenkel_a_1_1_moebius1, axiom,  (! [A, B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (r2_hidden(A, a_1_1_moebius1(B)) <=>  (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (A=C &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  (r1_nat_d(C, B) & v1_moebius1(C)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_4_moebius1, axiom,  (! [A, B, C] :  ( ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  &  (v7_ordinal1(C) & v1_int_2(C)) )  =>  (r2_hidden(A, a_2_4_moebius1(B, C)) <=>  (? [D] :  (m1_subset_1(D, k4_ordinal1) &  (A=D &  ( ~ (r1_xxreal_0(D, k5_numbers))  &  (r1_nat_d(D, k6_moebius1(B)) & r1_nat_d(C, D)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_5_moebius1, axiom,  (! [A, B, C] :  ( ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  &  (v7_ordinal1(C) & v1_int_2(C)) )  =>  (r2_hidden(A, a_2_5_moebius1(B, C)) <=>  (? [D] :  (m1_subset_1(D, k4_ordinal1) &  (A=D &  ( ~ (r1_xxreal_0(D, k5_numbers))  &  (r1_nat_d(D, k6_moebius1(B)) &  ~ (r1_nat_d(C, D)) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_2_moebius1, axiom,  (! [A, B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (r2_hidden(A, a_1_2_moebius1(B)) <=>  (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (A=C &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  (r1_nat_d(C, B) &  ~ (v1_moebius1(C)) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_3_moebius1, axiom,  (! [A, B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (r2_hidden(A, a_1_3_moebius1(B)) <=>  (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (A=C &  ( ~ (r1_xxreal_0(C, k5_numbers))  & r1_nat_d(C, k6_moebius1(B))) ) ) ) ) ) ) ).
fof(fc1_moebius2, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  (v7_ordinal1(k3_int_2(A, B)) &  ~ (v8_ordinal1(k3_int_2(A, B))) ) ) ) ).
fof(fc2_moebius2, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  (v7_ordinal1(k2_int_2(A, B)) &  ~ (v8_ordinal1(k2_int_2(A, B))) ) ) ) ).
fof(rd1_moebius2, axiom,  (! [A] :  (v7_ordinal1(A) => k7_nat_d(k5_numbers, A)=k5_numbers) ) ).
fof(fc3_moebius2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v4_valued_0(A)) ) )  =>  (v7_ordinal1(k19_rvsum_1(A)) & v1_xcmplx_0(k19_rvsum_1(A))) ) ) ).
fof(fc4_moebius2, axiom,  (v1_funct_1(k1_moebius2) &  (v1_funct_2(k1_moebius2, k4_ordinal1, k1_numbers) &  (v6_valued_0(k1_moebius2) & v2_seq_2(k1_moebius2)) ) ) ).
fof(fc5_moebius2, axiom,  (v1_funct_1(k1_moebius2) &  (v1_funct_2(k1_moebius2, k4_ordinal1, k1_numbers) & v2_comseq_2(k1_moebius2)) ) ).
fof(fc6_moebius2, axiom,  (v1_funct_1(k2_moebius2) &  (v1_funct_2(k2_moebius2, k4_ordinal1, k1_numbers) & v4_partfun3(k2_moebius2)) ) ).
fof(fc7_moebius2, axiom,  (v1_funct_1(k2_moebius2) &  (v1_funct_2(k2_moebius2, k4_ordinal1, k1_numbers) & v2_comseq_2(k2_moebius2)) ) ).
fof(cc1_moebius2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v4_partfun3(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  (m1_valued_0(B, A) => v4_partfun3(B)) ) ) ) ).
fof(fc8_moebius2, axiom,  (v1_funct_1(k1_moebius2) &  (v1_funct_2(k1_moebius2, k4_ordinal1, k1_numbers) & v4_partfun3(k1_moebius2)) ) ).
fof(fc9_moebius2, axiom,  (v1_funct_1(k2_series_1(k1_moebius2)) &  (v1_funct_2(k2_series_1(k1_moebius2), k4_ordinal1, k1_numbers) & v7_valued_0(k2_series_1(k1_moebius2))) ) ).
fof(fc10_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (v1_relat_1(k3_moebius2(A)) &  (v4_relat_1(k3_moebius2(A), k8_newton) &  (v1_funct_1(k3_moebius2(A)) &  (v1_partfun1(k3_moebius2(A), k8_newton) &  (v4_valued_0(k3_moebius2(A)) & v2_pre_poly(k3_moebius2(A))) ) ) ) ) ) ) ).
fof(cc2_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, k22_pre_poly(k8_newton, k3_moebius2(A))) => v7_ordinal1(B)) ) ) ) ).
fof(fc11_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (v7_ordinal1(k4_moebius2(A)) &  ~ (v8_ordinal1(k4_moebius2(A))) ) ) ) ).
fof(rc1_moebius2, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_finset_1(A) &  (v1_card_1(A) &  (v1_int_1(A) &  (v2_int_1(A) &  ~ (v1_moebius1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k2_finseq_1(A)) &  (v5_relat_1(B, k3_numbers) &  (v1_funct_1(B) &  (v1_partfun1(B, k2_finseq_1(A)) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) &  (v4_valued_0(B) &  (v2_pre_poly(B) & v1_partfun3(B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc12_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  ~ (v1_xboole_0(k5_moebius2(A))) ) ) ).
fof(cc3_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, k5_moebius2(A)) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(fc13_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  => v1_finset_1(k6_moebius2(A))) ) ).
fof(fc14_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (v1_funct_1(k7_moebius2(A)) &  (v2_funct_1(k7_moebius2(A)) & v1_funct_2(k7_moebius2(A), k5_moebius2(A), k6_moebius2(A))) ) ) ) ).
fof(fc15_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  => v1_finset_1(k5_moebius2(A))) ) ).
fof(fc16_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (v1_relat_1(k5_moebius1(A)) &  (v4_relat_1(k5_moebius1(A), k8_newton) &  (v1_funct_1(k5_moebius1(A)) &  (v1_partfun1(k5_moebius1(A), k8_newton) & v1_int_7(k5_moebius1(A))) ) ) ) ) ) ).
fof(fc17_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (v1_relat_1(k8_moebius2(A)) &  (v4_relat_1(k8_moebius2(A), k8_newton) &  (v1_funct_1(k8_moebius2(A)) &  (v1_partfun1(k8_moebius2(A), k8_newton) &  (v4_valued_0(k8_moebius2(A)) & v2_pre_poly(k8_moebius2(A))) ) ) ) ) ) ) ).
fof(fc18_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (v7_ordinal1(k9_moebius2(A)) &  ~ (v8_ordinal1(k9_moebius2(A))) ) ) ) ).
fof(fc19_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => v6_membered(k13_pre_poly(k8_moebius2(A)))) ) ).
fof(fc20_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (v7_ordinal1(k4_int_1(A, k9_moebius2(A))) &  ~ (v1_moebius1(k4_int_1(A, k9_moebius2(A)))) ) ) ) ).
fof(fc21_moebius2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) &  (v1_binop_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) ) )  =>  (v3_lattices(g3_lattices(A, B, C)) & v4_lattices(g3_lattices(A, B, C))) ) ) ).
fof(fc22_moebius2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) &  (v1_binop_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) ) ) )  =>  (v3_lattices(g3_lattices(A, B, C)) & v6_lattices(g3_lattices(A, B, C))) ) ) ).
fof(fc23_moebius2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) &  (v2_binop_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) ) )  =>  (v3_lattices(g3_lattices(A, B, C)) & v5_lattices(g3_lattices(A, B, C))) ) ) ).
fof(fc24_moebius2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) &  (v2_binop_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) ) ) )  =>  (v3_lattices(g3_lattices(A, B, C)) & v7_lattices(g3_lattices(A, B, C))) ) ) ).
fof(fc25_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ~ (v1_xboole_0(k3_moebius1(A))) ) ) ).
fof(fc26_moebius2, axiom,  (v1_funct_1(k1_nat_lat) &  (v1_funct_2(k1_nat_lat, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_ordinal1) &  (v1_binop_1(k1_nat_lat, k4_ordinal1) & v2_binop_1(k1_nat_lat, k4_ordinal1)) ) ) ).
fof(fc27_moebius2, axiom,  (v1_funct_1(k2_nat_lat) &  (v1_funct_2(k2_nat_lat, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_ordinal1) &  (v1_binop_1(k2_nat_lat, k4_ordinal1) & v2_binop_1(k2_nat_lat, k4_ordinal1)) ) ) ).
fof(fc28_moebius2, axiom,  (v1_funct_1(k8_nat_lat) &  (v1_funct_2(k8_nat_lat, k2_zfmisc_1(k6_nat_lat, k6_nat_lat), k6_nat_lat) & v1_binop_1(k8_nat_lat, k6_nat_lat)) ) ).
fof(fc29_moebius2, axiom,  (v1_funct_1(k9_nat_lat) &  (v1_funct_2(k9_nat_lat, k2_zfmisc_1(k6_nat_lat, k6_nat_lat), k6_nat_lat) & v1_binop_1(k9_nat_lat, k6_nat_lat)) ) ).
fof(fc30_moebius2, axiom,  (v1_funct_1(k8_nat_lat) &  (v1_funct_2(k8_nat_lat, k2_zfmisc_1(k6_nat_lat, k6_nat_lat), k6_nat_lat) & v2_binop_1(k8_nat_lat, k6_nat_lat)) ) ).
fof(fc31_moebius2, axiom,  (v1_funct_1(k9_nat_lat) &  (v1_funct_2(k9_nat_lat, k2_zfmisc_1(k6_nat_lat, k6_nat_lat), k6_nat_lat) & v2_binop_1(k9_nat_lat, k6_nat_lat)) ) ).
fof(fc32_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => v6_membered(u1_struct_0(k10_moebius2(A)))) ) ).
fof(ie1_moebius2, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (m1_subset_1(B, u1_struct_0(k10_moebius2(A))) & m1_subset_1(C, u1_struct_0(k10_moebius2(A)))) )  => k3_lattices(k10_moebius2(A), B, C)=k5_nat_d(B, C)) ) ).
fof(ie2_moebius2, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (m1_subset_1(B, u1_struct_0(k10_moebius2(A))) & m1_subset_1(C, u1_struct_0(k10_moebius2(A)))) )  => k4_lattices(k10_moebius2(A), B, C)=k6_nat_d(B, C)) ) ).
fof(fc33_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ( ~ (v2_struct_0(k10_moebius2(A)))  & v3_lattices(k10_moebius2(A))) ) ) ).
fof(fc34_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (v3_lattices(k10_moebius2(A)) &  (v11_lattices(k10_moebius2(A)) & v15_lattices(k10_moebius2(A))) ) ) ) ).
fof(fc35_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  &  ~ (v1_moebius1(A)) ) )  =>  (v3_lattices(k10_moebius2(A)) & v17_lattices(k10_moebius2(A))) ) ) ).
fof(cc4_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k10_moebius2(A))) =>  ~ (v8_ordinal1(B)) ) ) ) ) ).
fof(t1_moebius2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(k11_newton(2, k1_nat_1(k3_xcmplx_0(2, B), 2)), A) => r1_xxreal_0(k3_xcmplx_0(k1_newton(2, B), k3_square_1(A)), k7_xcmplx_0(A, 2))) ) ) ) ) ).
fof(t2_moebius2, axiom,  (! [A] :  (v7_ordinal1(A) => r1_tarski(k13_pre_poly(k12_nat_3(A)), k8_newton)) ) ).
fof(t3_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => r1_xxreal_0(k6_xcmplx_0(A, k2_nat_1(k3_nat_d(A, 2), 2)), 1)) ) ).
fof(t4_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  => r1_xxreal_0(k3_xcmplx_0(k3_nat_d(B, A), A), B)) ) ) ) ).
fof(t5_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  ~ ( ( ~ (r1_int_2(A, B))  &  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  ~ ( ( ~ (C=1)  &  (r1_nat_d(C, A) & r1_nat_d(C, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  ~ ( (r1_nat_d(B, A) & k3_nat_d(A, B)=k5_numbers) ) ) ) ) ) ).
fof(t7_moebius2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_int_2(A, B) => k5_nat_d(A, B)=k3_xcmplx_0(A, B)) ) ) ) ) ).
fof(t8_moebius2, axiom, k10_newton(k5_numbers)=2).
fof(t9_moebius2, axiom, k9_newton(3)=k1_tarski(2)).
fof(t10_moebius2, axiom, k10_newton(1)=3).
fof(t11_moebius2, axiom, k9_newton(5)=k2_tarski(2, 3)).
fof(t12_moebius2, axiom, k10_newton(2)=5).
fof(t13_moebius2, axiom, k9_newton(6)=k1_enumset1(2, 3, 5)).
fof(t14_moebius2, axiom, k9_newton(7)=k1_enumset1(2, 3, 5)).
fof(t15_moebius2, axiom, k10_newton(3)=7).
fof(t16_moebius2, axiom, k9_newton(11)=k2_enumset1(2, 3, 5, 7)).
fof(t17_moebius2, axiom, k10_newton(4)=11).
fof(t18_moebius2, axiom, k9_newton(13)=k3_enumset1(2, 3, 5, 7, 11)).
fof(t19_moebius2, axiom, k10_newton(5)=13).
fof(t20_moebius2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_tarski(k9_newton(A), k9_newton(B)) | r1_tarski(k9_newton(B), k9_newton(A))) ) ) ) ) ).
fof(t21_moebius2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ ( ( ~ (r1_xxreal_0(B, A))  & r1_xxreal_0(k10_newton(B), k10_newton(A))) )  &  ~ ( ( ~ (r1_xxreal_0(k10_newton(B), k10_newton(A)))  & r1_xxreal_0(B, A)) ) ) ) ) ) ) ).
fof(d1_moebius2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (A=k1_moebius2 <=>  (! [B] :  (v7_ordinal1(B) => k1_funct_1(A, B)=k7_xcmplx_0(1, k10_newton(B))) ) ) ) ) ).
fof(d2_moebius2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (A=k2_moebius2 <=>  (! [B] :  (v7_ordinal1(B) => k1_funct_1(A, B)=k7_xcmplx_0(1, B)) ) ) ) ) ).
fof(t22_moebius2, axiom, k1_seq_2(k2_moebius2)=k5_numbers).
fof(t23_moebius2, axiom, m2_valued_0(k1_moebius2, k1_numbers, k2_moebius2)).
fof(t24_moebius2, axiom, k1_seq_2(k1_moebius2)=k5_numbers).
fof(t25_moebius2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v4_partfun3(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (v1_series_1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  (! [C] :  (m1_subset_1(C, k4_ordinal1) => r1_xxreal_0(B, k4_series_1(k1_valued_0(k1_numbers, A, C)))) ) ) ) ) ) ) ) ) ).
fof(d3_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k8_newton) &  (v1_funct_1(B) & v1_partfun1(B, k8_newton)) ) )  =>  (B=k3_moebius2(A) <=>  (k13_pre_poly(B)=k22_pre_poly(k8_newton, k12_nat_3(A)) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k22_pre_poly(k8_newton, k12_nat_3(A))) => k1_funct_1(B, C)=k1_newton(C, k3_nat_d(k11_nat_3(A, C), 2))) ) ) ) ) ) ) ) ) ).
fof(d4_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => k4_moebius2(A)=k8_nat_3(k8_newton, k3_moebius2(A))) ) ).
fof(t26_moebius2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k8_newton) &  (v1_funct_1(A) &  (v1_partfun1(A, k8_newton) &  (v4_valued_0(A) & v2_pre_poly(A)) ) ) ) )  =>  ~ (k8_nat_3(k8_newton, A)=k5_numbers) ) ) ).
fof(d5_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k4_ordinal1)) =>  (B=k5_moebius2(A) <=>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, B) <=>  ( ~ (v1_moebius1(C))  &  (! [D] :  ( (v7_ordinal1(D) & v1_int_2(D))  =>  (r1_nat_d(D, C) => r1_xxreal_0(D, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  => r2_tarski(1, k5_moebius2(A))) ) ).
fof(t28_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  ~ (r2_tarski(k5_numbers, k5_moebius2(A))) ) ) ).
fof(t29_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k2_finseq_1(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k2_finseq_1(A)) &  (v4_valued_0(B) &  (v2_pre_poly(B) & v1_partfun3(B)) ) ) ) ) )  => k9_xtuple_0(B)=k22_pre_poly(k2_finseq_1(A), B)) ) ) ) ).
fof(t30_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  => k4_finseq_1(k20_finseq_1(k2_finseq_1(A)))=k2_finseq_1(A)) ) ).
fof(t31_moebius2, axiom,  (! [A] :  (v1_finset_1(A) => k4_finseq_1(k20_finseq_1(A))=k2_finseq_1(k4_card_1(A))) ) ).
fof(t32_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k2_finseq_1(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k2_finseq_1(A)) &  (v4_valued_0(B) &  (v2_pre_poly(B) & v1_partfun3(B)) ) ) ) ) )  =>  (B=k2_finseq_2(A, A) => B=k3_relat_1(k20_finseq_1(k22_pre_poly(k2_finseq_1(A), B)), B)) ) ) ) ) ).
fof(t33_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k2_finseq_1(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k2_finseq_1(A)) &  (v4_valued_0(B) &  (v2_pre_poly(B) & v1_partfun3(B)) ) ) ) ) )  =>  (B=k2_finseq_2(A, A) => k8_nat_3(k2_finseq_1(A), B)=k1_newton(A, A)) ) ) ) ) ).
fof(t34_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (r2_tarski(B, k5_moebius2(A)) => r1_tarski(k22_pre_poly(k8_newton, k12_nat_3(B)), k2_finseq_1(A))) ) ) ) ) ).
fof(t35_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (r2_tarski(B, k5_moebius2(A)) => r1_xxreal_0(k4_card_1(k22_pre_poly(k8_newton, k12_nat_3(B))), A)) ) ) ) ) ).
fof(t36_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  &  ~ (v1_moebius1(A)) ) )  => r1_tarski(k1_rvsum_1(k12_nat_3(A)), 2)) ) ).
fof(t37_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (r8_pboole(k8_newton, k12_nat_3(A), k12_nat_3(B)) => A=B) ) ) ) ) ).
fof(d6_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  => k6_moebius2(A)=k9_funct_2(k9_subset_1(k4_ordinal1, k2_finseq_1(A), k8_newton), 2)) ) ).
fof(d7_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k5_moebius2(A), k6_moebius2(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k5_moebius2(A), k6_moebius2(A))))) )  =>  (B=k7_moebius2(A) <=>  (! [C] :  (m2_subset_1(C, k4_ordinal1, k5_moebius2(A)) => k3_funct_2(k5_moebius2(A), k6_moebius2(A), B, C)=k5_relat_1(k12_nat_3(C), k9_subset_1(k4_ordinal1, k2_finseq_1(A), k8_newton))) ) ) ) ) ) ) ).
fof(t38_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  => r1_ordinal1(k1_card_1(k5_moebius2(A)), k4_card_1(k6_moebius2(A)))) ) ).
fof(t39_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  => r1_xxreal_0(k4_card_1(k5_moebius2(A)), k1_newton(2, A))) ) ).
fof(t40_moebius2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v7_ordinal1(C) & v1_int_2(C))  =>  (r1_nat_d(k1_newton(C, B), A) =>  (A=k5_numbers | r1_xxreal_0(B, k11_nat_3(A, C))) ) ) ) ) ) ) ) ).
fof(t41_moebius2, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (A=k5_numbers)  &  ( (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  => r1_xxreal_0(k11_nat_3(A, B), 1)) )  & v1_moebius1(A)) ) ) ) ) ).
fof(t42_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (k11_nat_3(B, A)=k5_numbers => k1_funct_1(k3_moebius2(B), A)=k5_numbers) ) ) ) ) ).
fof(t43_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  ( ~ (k11_nat_3(A, B)=k5_numbers)  => k1_funct_1(k3_moebius2(A), B)=k1_newton(B, k3_nat_d(k11_nat_3(A, B), 2))) ) ) ) ) ).
fof(t44_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (r1_int_2(A, B) => r8_pboole(k8_newton, k3_moebius2(k3_xcmplx_0(A, B)), k11_pre_poly(k8_newton, k3_moebius2(A), k3_moebius2(B)))) ) ) ) ) ).
fof(t45_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => r1_nat_d(k4_moebius2(A), A)) ) ).
fof(t46_moebius2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k8_newton) &  (v1_funct_1(A) &  (v1_partfun1(A, k8_newton) &  (v4_valued_0(A) & v2_pre_poly(A)) ) ) ) )  =>  (? [B] :  (m2_finseq_1(B, k4_ordinal1) &  (k8_nat_3(k8_newton, A)=k2_wsierp_1(B) & B=k3_relat_1(k20_finseq_1(k22_pre_poly(k8_newton, A)), A)) ) ) ) ) ).
fof(t47_moebius2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k8_newton) &  (v1_funct_1(C) &  (v1_partfun1(C, k8_newton) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (k1_funct_1(C, B)=k1_newton(B, A) => r1_nat_d(k1_newton(B, A), k8_nat_3(k8_newton, C))) ) ) ) ) ) ) ).
fof(t48_moebius2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k8_newton) &  (v1_funct_1(C) &  (v1_partfun1(C, k8_newton) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (k1_funct_1(C, B)=k1_newton(B, A) => r1_xxreal_0(A, k11_nat_3(k8_nat_3(k8_newton, C), B))) ) ) ) ) ) ) ).
fof(d8_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k8_newton) &  (v1_funct_1(B) & v1_partfun1(B, k8_newton)) ) )  =>  (B=k8_moebius2(A) <=>  (k13_pre_poly(B)=k22_pre_poly(k8_newton, k12_nat_3(A)) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k22_pre_poly(k8_newton, k12_nat_3(A))) => k1_funct_1(B, C)=k1_newton(C, k2_nat_1(2, k3_nat_d(k11_nat_3(A, C), 2)))) ) ) ) ) ) ) ) ) ).
fof(t49_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => r8_pboole(k8_newton, k8_moebius2(A), k9_nat_3(k8_newton, k3_moebius2(A), 2))) ) ).
fof(d9_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => k9_moebius2(A)=k8_nat_3(k8_newton, k8_moebius2(A))) ) ).
fof(t50_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (k11_nat_3(B, A)=k5_numbers => k1_funct_1(k8_moebius2(B), A)=k5_numbers) ) ) ) ) ).
fof(t51_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  ( ~ (k11_nat_3(A, B)=k5_numbers)  => k1_funct_1(k8_moebius2(A), B)=k1_newton(B, k2_nat_1(2, k3_nat_d(k11_nat_3(A, B), 2)))) ) ) ) ) ).
fof(t52_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (r1_int_2(A, B) => r8_pboole(k8_newton, k8_moebius2(k3_xcmplx_0(A, B)), k11_pre_poly(k8_newton, k8_moebius2(A), k8_moebius2(B)))) ) ) ) ) ).
fof(t53_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => r1_nat_d(k9_moebius2(A), A)) ) ).
fof(t54_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (r1_nat_d(k1_pepin(B), A) =>  (B=1 | v1_moebius1(A)) ) ) ) ) ) ).
fof(t55_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  &  ~ (v1_moebius1(A)) ) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (r1_nat_d(B, A) => r1_int_2(B, k3_nat_d(A, B))) ) ) ) ) ).
fof(t56_moebius2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) &  (v1_binop_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(B, B), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  ( (r1_tarski(B, A) & D=k1_realset1(C, B))  => v1_binop_1(D, B)) ) ) ) ) ) ) ) ) ).
fof(t57_moebius2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) &  (v2_binop_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(B, B), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  ( (r1_tarski(B, A) & D=k1_realset1(C, B))  => v2_binop_1(D, B)) ) ) ) ) ) ) ) ) ).
fof(t58_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => r1_tarski(k3_moebius1(A), k6_nat_lat)) ) ).
fof(t59_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r2_tarski(B, k3_moebius1(A)) & r2_tarski(C, k3_moebius1(A)))  => r2_tarski(k5_nat_d(B, C), k3_moebius1(A))) ) ) ) ) ) ) ).
fof(t60_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r2_tarski(B, k3_moebius1(A)) & r2_tarski(C, k3_moebius1(A)))  => r2_tarski(k6_nat_d(B, C), k3_moebius1(A))) ) ) ) ) ) ) ).
fof(t61_moebius2, axiom, k8_nat_lat=k1_realset1(k1_nat_lat, k6_nat_lat)).
fof(t62_moebius2, axiom, k9_nat_lat=k1_realset1(k2_nat_lat, k6_nat_lat)).
fof(d10_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v3_lattices(B) & m2_nat_lat(B, k10_nat_lat))  =>  (B=k10_moebius2(A) <=> u1_struct_0(B)=k3_moebius1(A)) ) ) ) ) ).
fof(t63_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k10_moebius2(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k10_moebius2(A))) =>  (k3_lattices(k10_moebius2(A), B, C)=k5_nat_d(B, C) & k4_lattices(k10_moebius2(A), B, C)=k6_nat_d(B, C)) ) ) ) ) ) ) ).
fof(t64_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (k6_lattices(k10_moebius2(A))=A & k5_lattices(k10_moebius2(A))=1) ) ) ).
fof(t65_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (v17_lattices(k10_moebius2(A)) <=>  ~ (v1_moebius1(A)) ) ) ) ).
fof(dt_k1_moebius2, axiom,  (v1_funct_1(k1_moebius2) &  (v1_funct_2(k1_moebius2, k4_ordinal1, k1_numbers) & m1_subset_1(k1_moebius2, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ).
fof(dt_k2_moebius2, axiom,  (v1_funct_1(k2_moebius2) &  (v1_funct_2(k2_moebius2, k4_ordinal1, k1_numbers) & m1_subset_1(k2_moebius2, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ).
fof(dt_k3_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (v1_relat_1(k3_moebius2(A)) &  (v4_relat_1(k3_moebius2(A), k8_newton) &  (v1_funct_1(k3_moebius2(A)) & v1_partfun1(k3_moebius2(A), k8_newton)) ) ) ) ) ).
fof(dt_k4_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => v7_ordinal1(k4_moebius2(A))) ) ).
fof(dt_k5_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  => m1_subset_1(k5_moebius2(A), k1_zfmisc_1(k4_ordinal1))) ) ).
fof(dt_k7_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (v1_funct_1(k7_moebius2(A)) &  (v1_funct_2(k7_moebius2(A), k5_moebius2(A), k6_moebius2(A)) & m1_subset_1(k7_moebius2(A), k1_zfmisc_1(k2_zfmisc_1(k5_moebius2(A), k6_moebius2(A))))) ) ) ) ).
fof(dt_k8_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (v1_relat_1(k8_moebius2(A)) &  (v4_relat_1(k8_moebius2(A), k8_newton) &  (v1_funct_1(k8_moebius2(A)) & v1_partfun1(k8_moebius2(A), k8_newton)) ) ) ) ) ).
fof(dt_k9_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => v7_ordinal1(k9_moebius2(A))) ) ).
fof(dt_k10_moebius2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (v3_lattices(k10_moebius2(A)) & m2_nat_lat(k10_moebius2(A), k10_nat_lat)) ) ) ).
fof(rc1_moebius3, axiom,  (? [A] :  ( ~ (v1_zfmisc_1(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  & v1_pythtrip(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_moebius3, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  (v4_relat_1(k5_relat_1(B, C), C) & v1_funct_1(k5_relat_1(B, C))) ) ) ).
fof(fc2_moebius3, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  ~ (v1_zfmisc_1(k1_square_1(A))) ) ) ).
fof(fc3_moebius3, axiom,  (v1_funct_1(k6_basel_1) &  (v1_funct_2(k6_basel_1, k4_ordinal1, k1_numbers) & v1_series_1(k6_basel_1)) ) ).
fof(fc4_moebius3, axiom,  (! [A] :  (v7_ordinal1(A) => v1_finset_1(k4_moebius3(A))) ) ).
fof(fc5_moebius3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (v7_ordinal1(k4_int_1(A, k1_newton(k4_moebius2(A), 2))) &  ~ (v1_moebius1(k4_int_1(A, k1_newton(k4_moebius2(A), 2)))) ) ) ) ).
fof(fc6_moebius3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (v7_ordinal1(k6_moebius3(A)) &  ( ~ (v8_ordinal1(k6_moebius3(A)))  &  ~ (v1_moebius1(k6_moebius3(A))) ) ) ) ) ).
fof(fc7_moebius3, axiom,  (! [A] :  ( (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k8_newton)))  =>  (v1_relat_1(k7_moebius3(A)) &  (v4_relat_1(k7_moebius3(A), k8_newton) &  (v1_funct_1(k7_moebius3(A)) &  (v1_partfun1(k7_moebius3(A), k8_newton) &  (v4_valued_0(k7_moebius3(A)) &  (v2_pre_poly(k7_moebius3(A)) & v1_int_7(k7_moebius3(A))) ) ) ) ) ) ) ) ).
fof(fc8_moebius3, axiom,  (! [A] :  ( (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k8_newton)))  =>  (v7_ordinal1(k7_nat_3(k8_newton, k7_moebius3(A))) &  ~ (v1_moebius1(k7_nat_3(k8_newton, k7_moebius3(A)))) ) ) ) ).
fof(fc9_moebius3, axiom,  (! [A] :  (v7_ordinal1(A) => v1_finset_1(k11_moebius3(A))) ) ).
fof(t1_moebius3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (r2_tarski(k5_numbers, A) => k8_relset_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k1_seq_4(k5_numbers))=k1_seq_4(k5_numbers)) ) ) ).
fof(t2_moebius3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  ( ~ (r2_tarski(k5_numbers, A))  => k8_relset_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), k1_seq_4(k5_numbers))=k1_xboole_0) ) ) ).
fof(t3_moebius3, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (r1_tarski(B, A) =>  (r2_tarski(k5_numbers, A) | v1_fcont_1(k5_relset_1(k1_numbers, k1_numbers, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A)), B))) ) ) ) ) ) ).
fof(t4_moebius3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  ( (B=k3_limfunc1(k5_numbers) & C=k1_rcomp_1(1, k1_nat_1(A, 1)))  => k2_integra5(C, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B)))=k1_funct_1(k3_taylor_1, k1_nat_1(A, 1))) ) ) ) ) ) ) ).
fof(t5_moebius3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_measure5(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) )  =>  ( (B=k3_limfunc1(k5_numbers) & C=k1_rcomp_1(A, k1_nat_1(A, 1)))  =>  (r1_xxreal_0(A, k5_numbers) | k2_integra5(C, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B)))=k1_funct_1(k3_taylor_1, k7_xcmplx_0(k1_nat_1(A, 1), A))) ) ) ) ) ) ) ) ).
fof(t6_moebius3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  ~ (v1_partfun3(k1_taylor_2(k22_sin_cos, k2_rcomp_1(k4_xcmplx_0(B), B), A))) ) ) ) ) ) ) ) ).
fof(t7_moebius3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v1_series_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (v1_partfun3(A) & r1_xxreal_0(k4_series_1(k7_nat_1(k1_numbers, A, k1_nat_1(B, 1))), k5_numbers)) ) ) ) ) ) ).
fof(d1_moebius3, axiom,  (! [A] :  (v7_ordinal1(A) => k1_moebius3(A)=k1_funct_1(k3_series_1(k2_moebius2), A)) ) ).
fof(t8_moebius3, axiom, k1_moebius3(k5_numbers)=k5_numbers).
fof(t9_moebius3, axiom,  (! [A] :  (v7_ordinal1(A) => k1_moebius3(k1_nat_1(A, 1))=k2_xcmplx_0(k1_moebius3(A), k7_xcmplx_0(1, k1_nat_1(A, 1)))) ) ).
fof(t10_moebius3, axiom, k1_moebius3(1)=1).
fof(t11_moebius3, axiom, k1_moebius3(2)=k7_xcmplx_0(3, 2)).
fof(t12_moebius3, axiom, k1_funct_1(k3_taylor_1, 1)=k5_numbers).
fof(t13_moebius3, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  & r1_xxreal_0(k1_funct_1(k22_sin_cos, A), k2_xcmplx_0(A, 1))) ) ) ) ).
fof(t14_moebius3, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  & r1_xxreal_0(A, k1_funct_1(k3_taylor_1, k2_xcmplx_0(A, 1)))) ) ) ) ).
fof(t15_moebius3, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  & r1_xxreal_0(k7_xcmplx_0(1, A), k1_funct_1(k3_taylor_1, k7_xcmplx_0(k1_nat_1(A, 1), A)))) ) ) ) ).
fof(t16_moebius3, axiom,  (! [A] :  (v1_xreal_0(A) => k1_funct_1(k3_taylor_1, k1_funct_1(k22_sin_cos, A))=A) ) ).
fof(t17_moebius3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(B, A))  & r1_xxreal_0(k1_funct_1(k3_taylor_1, B), k1_funct_1(k3_taylor_1, A))) ) ) ) ) ) ) ).
fof(t18_moebius3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ~ (r1_xxreal_0(k1_funct_1(k3_taylor_1, k1_nat_1(A, 1)), k5_numbers)) ) ) ).
fof(t19_moebius3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  ~ (k1_funct_1(k3_taylor_1, k3_xcmplx_0(A, B))=k2_xcmplx_0(k1_funct_1(k3_taylor_1, A), k1_funct_1(k3_taylor_1, B))) ) ) ) ) ) ) ) ).
fof(t20_moebius3, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  => r1_xxreal_0(k1_funct_1(k3_taylor_1, k1_funct_1(k3_taylor_1, k1_nat_1(B, 1))), A)) ) ) ) ) ).
fof(t21_moebius3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  ~ ( (B=k3_limfunc1(k5_numbers) &  (A=k1_rcomp_1(C, k1_nat_1(C, 1)) & r1_xxreal_0(k7_xcmplx_0(1, C), k2_integra5(A, k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, B))))) ) ) ) ) ) ) ) ) ).
fof(t22_moebius3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ~ (r1_xxreal_0(k1_moebius3(A), k1_funct_1(k3_taylor_1, k1_nat_1(A, 1)))) ) ) ).
fof(t23_moebius3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (k1_pepin(A)=k1_pepin(B) => A=B) ) ) ) ) ).
fof(t24_moebius3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( ( (! [D] :  (v7_ordinal1(D) => k1_funct_1(C, D)=k2_xcmplx_0(k1_funct_1(A, D), k1_funct_1(B, D))) )  &  (! [D] :  (v7_ordinal1(D) => k1_funct_1(B, D)=k4_xcmplx_0(k3_funct_2(k4_ordinal1, k1_numbers, A, k1_nat_1(D, 1)))) ) )  =>  (! [D] :  (v7_ordinal1(D) => k1_funct_1(k3_series_1(C), D)=k2_xcmplx_0(k3_funct_2(k4_ordinal1, k1_numbers, A, k5_numbers), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ).
fof(t25_moebius3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( ( ~ (v1_zfmisc_1(C))  & v7_ordinal1(C))  =>  ~ ( ( (! [D] :  ( ( ~ (v1_zfmisc_1(D))  & v7_ordinal1(D))  =>  ~ ( (r1_xxreal_0(D, C) & r1_xxreal_0(k1_funct_1(B, D), k1_funct_1(A, D))) ) ) )  & r1_xxreal_0(k7_series_1(B, C, 1), k7_series_1(A, C, 1))) ) ) ) ) ) ) ) ).
fof(d2_moebius3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (A=k2_moebius3 <=>  (! [B] :  (v7_ordinal1(B) => k1_funct_1(A, B)=k7_xcmplx_0(1, k6_xcmplx_0(k1_pepin(B), k7_xcmplx_0(1, 4)))) ) ) ) ) ).
fof(t26_moebius3, axiom,  (! [A] :  (v7_ordinal1(A) => k1_funct_1(k2_moebius3, A)=k6_xcmplx_0(k7_xcmplx_0(1, k6_xcmplx_0(A, k7_xcmplx_0(1, 2))), k7_xcmplx_0(1, k2_xcmplx_0(A, k7_xcmplx_0(1, 2))))) ) ).
fof(t27_moebius3, axiom, r2_relset_1(k4_ordinal1, k1_numbers, k2_moebius3, k1_series_1(k1_numbers, k2_basel_1(k5_numbers, 1, 1, k4_xcmplx_0(k7_xcmplx_0(1, 2))), k32_valued_1(k4_ordinal1, k1_numbers, k2_basel_1(k5_numbers, 1, 1, k7_xcmplx_0(1, 2)))))).
fof(t28_moebius3, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ (r1_xxreal_0(k4_xcmplx_0(2), k1_funct_1(k3_series_1(k2_moebius3), A))) ) ) ).
fof(t29_moebius3, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ (r1_xxreal_0(k7_xcmplx_0(2, 3), k7_series_1(k2_moebius3, A, 1))) ) ) ).
fof(t30_moebius3, axiom,  (! [A] :  (v7_ordinal1(A) => k1_funct_1(k3_series_1(k2_moebius3), A)=k2_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(k7_xcmplx_0(1, k2_xcmplx_0(A, k7_xcmplx_0(1, 2)))))) ) ).
fof(t31_moebius3, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  ~ (r1_xxreal_0(k7_series_1(k2_moebius3, A, 1), k7_series_1(k6_basel_1, A, 1))) ) ) ).
fof(t32_moebius3, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  ~ (r1_xxreal_0(k7_xcmplx_0(5, 3), k6_series_1(k6_basel_1, A))) ) ) ).
fof(t33_moebius3, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ (r1_xxreal_0(k7_xcmplx_0(5, 3), k1_funct_1(k3_series_1(k6_basel_1), A))) ) ) ).
fof(d3_moebius3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (A=k3_moebius3 <=>  (! [B] :  (v7_ordinal1(B) => k1_funct_1(A, B)=k2_xcmplx_0(1, k7_xcmplx_0(1, k10_newton(B)))) ) ) ) ) ).
fof(t34_moebius3, axiom, k16_rvsum_1(k14_finseq_1(k1_seq_4(1)))=1).
fof(d4_moebius3, axiom,  (! [A] :  (v7_ordinal1(A) => k4_moebius3(A)=k9_subset_1(k4_ordinal1, k8_newton, k2_finseq_1(A))) ) ).
fof(t35_moebius3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(A, B) => r1_tarski(k4_moebius3(A), k4_moebius3(B))) ) ) ) ) ).
fof(t36_moebius3, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ ( (v7_ordinal1(k1_nat_1(A, 1)) & v1_int_2(k1_nat_1(A, 1))) )  => k4_moebius3(k1_nat_1(A, 1))=k4_moebius3(A)) ) ) ).
fof(t37_moebius3, axiom,  (k4_moebius3(k5_numbers)=k1_xboole_0 & k4_moebius3(1)=k1_xboole_0) ).
fof(t38_moebius3, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( (v7_ordinal1(k1_nat_1(A, 1)) & v1_int_2(k1_nat_1(A, 1)))  => k4_moebius3(k1_nat_1(A, 1))=k2_xboole_0(k4_moebius3(A), k1_seq_4(k1_nat_1(A, 1)))) ) ) ).
fof(t39_moebius3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  ~ ( ( ~ (r1_xxreal_0(A, 2))  &  (v7_ordinal1(k1_nat_1(A, 1)) & v1_int_2(k1_nat_1(A, 1))) ) ) ) ) ).
fof(t40_moebius3, axiom, k4_moebius3(2)=k1_seq_4(2)).
fof(t41_moebius3, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ (r2_tarski(k1_nat_1(A, 1), k4_moebius3(A))) ) ) ).
fof(d5_moebius3, axiom,  (! [A] :  (v7_ordinal1(A) => k5_moebius3(A)=k4_card_1(k4_moebius3(A))) ) ).
fof(t42_moebius3, axiom,  (! [A] :  (v7_ordinal1(A) => r1_xxreal_0(k5_moebius3(A), A)) ) ).
fof(t43_moebius3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => A=k3_xcmplx_0(k9_moebius2(A), k3_nat_d(A, k9_moebius2(A)))) ) ).
fof(t44_moebius3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => r1_nat_d(k1_newton(k4_moebius2(A), 2), A)) ) ).
fof(t45_moebius3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k8_newton) &  (v1_funct_1(A) &  (v1_partfun1(A, k8_newton) &  (v4_valued_0(A) & v2_pre_poly(A)) ) ) ) )  =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (k22_pre_poly(k8_newton, A)=k1_seq_4(B) => k8_nat_3(k8_newton, A)=k1_funct_1(A, B)) ) ) ) ) ).
fof(t46_moebius3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => k1_newton(k4_moebius2(A), 2)=k9_moebius2(A)) ) ).
fof(d6_moebius3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => k6_moebius3(A)=k3_nat_d(A, k9_moebius2(A))) ) ).
fof(t47_moebius3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => A=k3_xcmplx_0(k6_moebius3(A), k1_pepin(k4_moebius2(A)))) ) ).
fof(t48_moebius3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => r1_tarski(k22_pre_poly(k8_newton, k12_nat_3(A)), k2_finseq_1(A))) ) ).
fof(t49_moebius3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => r1_tarski(k22_pre_poly(k8_newton, k13_nat_3(A)), k2_finseq_1(A))) ) ).
fof(t50_moebius3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => r1_tarski(k2_finseq_1(k6_moebius3(A)), k2_finseq_1(A))) ) ).
fof(t51_moebius3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (r1_nat_d(k1_pepin(A), k6_moebius3(B)) <=> A=1) ) ) ) ) ).
fof(t52_moebius3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  ( (k6_moebius3(B)=k6_moebius3(A) & k9_moebius2(A)=k9_moebius2(B))  => A=B) ) ) ) ) ).
fof(d7_moebius3, axiom,  (! [A] :  ( (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k8_newton)))  => k7_moebius3(A)=k1_funct_4(k16_pre_poly(k8_newton), k1_partfun2(k8_newton, A))) ) ).
fof(t53_moebius3, axiom,  (! [A] :  ( (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k8_newton)))  => k22_pre_poly(k8_newton, k7_moebius3(A))=A) ) ).
fof(t54_moebius3, axiom,  (! [A] :  ( (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k8_newton)))  =>  (A=k1_xboole_0 => r8_pboole(k8_newton, k7_moebius3(A), k16_pre_poly(k8_newton))) ) ) ).
fof(t55_moebius3, axiom,  (! [A] :  ( (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k8_newton)))  =>  (! [B] :  (r2_hidden(B, k22_pre_poly(k8_newton, k7_moebius3(A))) => k1_funct_1(k7_moebius3(A), B)=B) ) ) ) ).
fof(t56_moebius3, axiom,  (! [A] :  ( (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k8_newton)))  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k8_newton)))  =>  (r8_pboole(k8_newton, k7_moebius3(A), k7_moebius3(B)) => A=B) ) ) ) ) ).
fof(t57_moebius3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (r2_hidden(B, k1_zfmisc_1(k4_moebius3(A))) =>  (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k8_newton))) ) ) ) ) ).
fof(t58_moebius3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (r2_hidden(B, k2_zfmisc_1(k1_zfmisc_1(k4_moebius3(A)), k2_finseq_1(A))) =>  (v1_finset_1(k1_xtuple_0(B)) & m1_subset_1(k1_xtuple_0(B), k1_zfmisc_1(k8_newton))) ) ) ) ) ).
fof(t59_moebius3, axiom, r2_relset_1(k4_ordinal1, k1_numbers, k2_basel_1(k5_numbers, 1, 1, k5_numbers), k2_moebius2)).
fof(t60_moebius3, axiom, k5_moebius3(k5_numbers)=k5_numbers).
fof(t61_moebius3, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ (r1_xxreal_0(k1_funct_1(k1_series_3(k3_moebius3), A), k5_numbers)) ) ) ).
fof(t62_moebius3, axiom,  (! [A] :  (v7_ordinal1(A) => r1_xxreal_0(k1_funct_1(k3_taylor_1, k1_funct_1(k1_series_3(k3_moebius3), A)), k1_funct_1(k3_series_1(k1_moebius2), A))) ) ).
fof(t63_moebius3, axiom,  (! [A] :  (v7_ordinal1(A) => r1_xxreal_0(k1_funct_1(k3_taylor_1, k1_funct_1(k1_series_3(k3_moebius3), k5_moebius3(A))), k1_funct_1(k3_series_1(k1_moebius2), A))) ) ).
fof(d8_moebius3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (A=k8_moebius3 <=>  (k3_funct_2(k4_ordinal1, k1_numbers, A, k5_numbers)=k5_numbers &  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  => k1_funct_1(A, B)=k7_xcmplx_0(1, k6_moebius3(B))) ) ) ) ) ) ).
fof(d9_moebius3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (A=k9_moebius3 <=>  (k3_funct_2(k4_ordinal1, k1_numbers, A, k5_numbers)=k5_numbers &  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  => k1_funct_1(A, B)=k7_xcmplx_0(1, k9_moebius2(B))) ) ) ) ) ) ).
fof(t64_moebius3, axiom, r2_relset_1(k4_ordinal1, k1_numbers, k2_basel_1(k5_numbers, 1, 1, k5_numbers), k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_moebius3, k9_moebius3))).
fof(t65_moebius3, axiom,  (! [A] :  (v7_ordinal1(A) => r1_xxreal_0(k5_numbers, k1_funct_1(k8_moebius3, A))) ) ).
fof(t66_moebius3, axiom,  (! [A] :  (v7_ordinal1(A) => r1_xxreal_0(k5_numbers, k1_funct_1(k9_moebius3, A))) ) ).
fof(t67_moebius3, axiom,  (! [A] :  (v7_ordinal1(A) => r1_xxreal_0(k5_numbers, k1_funct_1(k6_basel_1, A))) ) ).
fof(t68_moebius3, axiom,  (! [A] :  (v7_ordinal1(A) => r1_xxreal_0(k1_funct_1(k3_series_1(k2_basel_1(k5_numbers, 1, 1, k5_numbers)), A), k3_xcmplx_0(k1_funct_1(k3_series_1(k8_moebius3), A), k1_funct_1(k3_series_1(k9_moebius3), A)))) ) ).
fof(d10_moebius3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k1_zfmisc_1(k4_moebius3(A)), k2_finseq_1(A)), k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(k4_moebius3(A)), k2_finseq_1(A)), k4_ordinal1)))) )  =>  (B=k10_moebius3(A) <=>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(k1_zfmisc_1(k4_moebius3(A)), k2_finseq_1(A))) =>  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(k8_newton)))  =>  (! [E] :  (v7_ordinal1(E) =>  (C=k4_tarski(D, E) => k3_funct_2(k2_zfmisc_1(k1_zfmisc_1(k4_moebius3(A)), k2_finseq_1(A)), k4_ordinal1, B, C)=k2_nat_1(k8_nat_3(k8_newton, k1_uproots(k8_newton, D, 1)), k1_pepin(E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t69_moebius3, axiom,  (! [A] :  (v7_ordinal1(A) => r1_xxreal_0(k5_numbers, k1_funct_1(k3_series_1(k6_basel_1), A))) ) ).
fof(t70_moebius3, axiom, k11_moebius3(k5_numbers)=k1_seq_4(1)).
fof(t71_moebius3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  ( ~ (r1_xxreal_0(A, 2))  => k11_moebius3(k1_nat_1(A, 1))=k11_moebius3(A)) ) ) ).
fof(t72_moebius3, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ ( (v7_ordinal1(k1_nat_1(A, 1)) & v1_int_2(k1_nat_1(A, 1))) )  => k11_moebius3(k1_nat_1(A, 1))=k11_moebius3(A)) ) ) ).
fof(t73_moebius3, axiom, k11_moebius3(1)=k1_seq_4(1)).
fof(t74_moebius3, axiom, k11_moebius3(2)=k2_tarski(k7_xcmplx_0(1, 2), 1)).
fof(t75_moebius3, axiom,  (! [A] :  (v7_ordinal1(A) => r1_tarski(k11_moebius3(A), k11_moebius3(k1_nat_1(A, 1)))) ) ).
fof(dt_k1_moebius3, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xreal_0(k1_moebius3(A))) ) ).
fof(dt_k2_moebius3, axiom,  (v1_funct_1(k2_moebius3) &  (v1_funct_2(k2_moebius3, k4_ordinal1, k1_numbers) & m1_subset_1(k2_moebius3, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ).
fof(dt_k3_moebius3, axiom,  (v1_funct_1(k3_moebius3) &  (v1_funct_2(k3_moebius3, k4_ordinal1, k1_numbers) & m1_subset_1(k3_moebius3, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ).
fof(dt_k4_moebius3, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k4_moebius3(A), k1_zfmisc_1(k4_ordinal1))) ) ).
fof(dt_k5_moebius3, axiom,  (! [A] :  (v7_ordinal1(A) => v7_ordinal1(k5_moebius3(A))) ) ).
fof(dt_k6_moebius3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (v7_ordinal1(k6_moebius3(A)) &  ~ (v8_ordinal1(k6_moebius3(A))) ) ) ) ).
fof(dt_k7_moebius3, axiom,  (! [A] :  ( (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k8_newton)))  =>  (v1_relat_1(k7_moebius3(A)) &  (v4_relat_1(k7_moebius3(A), k8_newton) &  (v1_funct_1(k7_moebius3(A)) &  (v1_partfun1(k7_moebius3(A), k8_newton) &  (v4_valued_0(k7_moebius3(A)) & v2_pre_poly(k7_moebius3(A))) ) ) ) ) ) ) ).
fof(dt_k8_moebius3, axiom,  (v1_funct_1(k8_moebius3) &  (v1_funct_2(k8_moebius3, k4_ordinal1, k1_numbers) & m1_subset_1(k8_moebius3, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ).
fof(dt_k9_moebius3, axiom,  (v1_funct_1(k9_moebius3) &  (v1_funct_2(k9_moebius3, k4_ordinal1, k1_numbers) & m1_subset_1(k9_moebius3, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ).
fof(dt_k10_moebius3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (v1_funct_1(k10_moebius3(A)) &  (v1_funct_2(k10_moebius3(A), k2_zfmisc_1(k1_zfmisc_1(k4_moebius3(A)), k2_finseq_1(A)), k4_ordinal1) & m1_subset_1(k10_moebius3(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(k4_moebius3(A)), k2_finseq_1(A)), k4_ordinal1)))) ) ) ) ).
fof(dt_k11_moebius3, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k11_moebius3(A), k1_zfmisc_1(k1_numbers))) ) ).
fof(d11_moebius3, axiom,  (! [A] :  (v7_ordinal1(A) => k11_moebius3(A)=a_1_0_moebius3(A)) ) ).
fof(t76_moebius3, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( (v7_ordinal1(k1_nat_1(A, 1)) & v1_int_2(k1_nat_1(A, 1)))  => k11_moebius3(k1_nat_1(A, 1))=k2_xboole_0(k11_moebius3(A), a_1_1_moebius3(A))) ) ) ).
fof(t77_moebius3, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( (v7_ordinal1(k1_nat_1(A, 1)) & v1_int_2(k1_nat_1(A, 1)))  => k11_moebius3(k1_nat_1(A, 1))=k2_xboole_0(a_1_2_moebius3(A), a_1_1_moebius3(A))) ) ) ).
fof(fraenkel_a_1_0_moebius3, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_0_moebius3(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k4_moebius3(B))) & A=k7_xcmplx_0(1, k19_rvsum_1(k14_finseq_1(C)))) ) ) ) ) ).
fof(fraenkel_a_1_1_moebius3, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_1_moebius3(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k4_moebius3(k1_nat_1(B, 1)))) &  (A=k7_xcmplx_0(1, k19_rvsum_1(k14_finseq_1(C))) & r2_tarski(k1_nat_1(B, 1), C)) ) ) ) ) ) ).
fof(fraenkel_a_1_2_moebius3, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_2_moebius3(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k4_moebius3(B))) &  (A=k7_xcmplx_0(1, k19_rvsum_1(k14_finseq_1(C))) &  ~ (r2_tarski(k1_nat_1(B, 1), C)) ) ) ) ) ) ) ).
fof(rc1_monoid_0, axiom,  (? [A] :  (l1_struct_0(A) & v1_monoid_0(A)) ) ).
fof(rc2_monoid_0, axiom,  (? [A] :  (l1_struct_0(A) & v2_monoid_0(A)) ) ).
fof(cc1_monoid_0, axiom,  (! [A] :  ( (v1_monoid_0(A) & l1_struct_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v1_relat_1(B) & v1_funct_1(B)) ) ) ) ) ).
fof(cc2_monoid_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_monoid_0(A) => v1_monoid_0(A)) ) ) ).
fof(cc3_monoid_0, axiom,  (! [A] :  ( (v2_monoid_0(A) & l1_struct_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v1_finseq_1(B)) ) ) ) ).
fof(rc3_monoid_0, axiom,  (? [A] :  (l3_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_monoid_0(A) &  (v2_monoid_0(A) &  (v10_monoid_0(A) &  (v13_monoid_0(A) &  (v16_monoid_0(A) & v17_monoid_0(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc4_monoid_0, axiom,  (! [A] :  (l3_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_group_1(A) & v3_group_1(A)) )  =>  ( ~ (v2_struct_0(A))  & v13_monoid_0(A)) ) ) ) ).
fof(cc5_monoid_0, axiom,  (! [A] :  (l3_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_group_1(A) & v13_monoid_0(A)) )  =>  ( ~ (v2_struct_0(A))  & v2_group_1(A)) ) ) ) ).
fof(cc6_monoid_0, axiom,  (! [A] :  (l3_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  & v13_monoid_0(A))  =>  ( ~ (v2_struct_0(A))  &  (v11_monoid_0(A) & v12_monoid_0(A)) ) ) ) ) ).
fof(cc7_monoid_0, axiom,  (! [A] :  (l3_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v11_monoid_0(A) & v12_monoid_0(A)) )  =>  ( ~ (v2_struct_0(A))  & v13_monoid_0(A)) ) ) ) ).
fof(cc8_monoid_0, axiom,  (! [A] :  (l3_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  & v16_monoid_0(A))  =>  ( ~ (v2_struct_0(A))  &  (v14_monoid_0(A) & v15_monoid_0(A)) ) ) ) ) ).
fof(cc9_monoid_0, axiom,  (! [A] :  (l3_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v14_monoid_0(A) & v15_monoid_0(A)) )  =>  ( ~ (v2_struct_0(A))  & v16_monoid_0(A)) ) ) ) ).
fof(cc10_monoid_0, axiom,  (! [A] :  (l3_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_group_1(A) & v13_monoid_0(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & v16_monoid_0(A)) ) ) ) ) ).
fof(rc4_monoid_0, axiom,  (? [A] :  (l4_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  (v22_algstr_0(A) &  (v4_vectsp_1(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_monoid_0(A) &  (v2_monoid_0(A) &  (v10_monoid_0(A) &  (v13_monoid_0(A) &  (v16_monoid_0(A) & v17_monoid_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc11_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_monoid_0(B, A) =>  ~ (v2_struct_0(B)) ) ) ) ) ).
fof(rc5_monoid_0, axiom,  (! [A] :  (l3_algstr_0(A) =>  (? [B] :  (m1_monoid_0(B, A) & v22_algstr_0(B)) ) ) ) ).
fof(cc12_monoid_0, axiom,  (! [A] :  ( (v1_monoid_0(A) & l3_algstr_0(A))  =>  (! [B] :  (m1_monoid_0(B, A) => v1_monoid_0(B)) ) ) ) ).
fof(cc13_monoid_0, axiom,  (! [A] :  ( (v2_monoid_0(A) & l3_algstr_0(A))  =>  (! [B] :  (m1_monoid_0(B, A) => v2_monoid_0(B)) ) ) ) ).
fof(cc14_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  (m1_monoid_0(B, A) => v1_group_1(B)) ) ) ) ).
fof(cc15_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  (m1_monoid_0(B, A) => v3_group_1(B)) ) ) ) ).
fof(cc16_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  (m1_monoid_0(B, A) => v5_group_1(B)) ) ) ) ).
fof(cc17_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_monoid_0(A) & l3_algstr_0(A)) )  =>  (! [B] :  (m1_monoid_0(B, A) => v13_monoid_0(B)) ) ) ) ).
fof(cc18_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v16_monoid_0(A) & l3_algstr_0(A)) )  =>  (! [B] :  (m1_monoid_0(B, A) => v16_monoid_0(B)) ) ) ) ).
fof(cc19_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v17_monoid_0(A) & l3_algstr_0(A)) )  =>  (! [B] :  (m1_monoid_0(B, A) => v17_monoid_0(B)) ) ) ) ).
fof(rc6_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  =>  (? [B] :  (m1_monoid_0(B, A) &  ( ~ (v2_struct_0(B))  &  (v22_algstr_0(B) &  (v4_vectsp_1(B) & v1_group_1(B)) ) ) ) ) ) ) ).
fof(rc7_monoid_0, axiom,  (! [A] :  (l3_algstr_0(A) =>  (? [B] :  (m2_monoid_0(B, A) & v15_algstr_0(B)) ) ) ) ).
fof(rc8_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (? [B] :  (m2_monoid_0(B, A) &  ( ~ (v2_struct_0(B))  & v15_algstr_0(B)) ) ) ) ) ).
fof(rc9_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  =>  (? [B] :  (m2_monoid_0(B, A) &  ( ~ (v2_struct_0(B))  &  (v15_algstr_0(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v10_monoid_0(B) &  (v13_monoid_0(B) &  (v16_monoid_0(B) & v17_monoid_0(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc10_monoid_0, axiom,  (! [A] :  (l3_algstr_0(A) =>  (? [B] :  (m3_monoid_0(B, A) & v22_algstr_0(B)) ) ) ) ).
fof(rc11_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (? [B] :  (m3_monoid_0(B, A) &  ( ~ (v2_struct_0(B))  & v22_algstr_0(B)) ) ) ) ) ).
fof(rc12_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) & l4_algstr_0(A)) )  =>  (? [B] :  (m3_monoid_0(B, A) &  ( ~ (v2_struct_0(B))  &  (v22_algstr_0(B) &  (v4_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v10_monoid_0(B) &  (v13_monoid_0(B) &  (v16_monoid_0(B) & v17_monoid_0(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc20_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_monoid_0(A) & l3_algstr_0(A)) )  =>  (! [B] :  (m2_monoid_0(B, A) =>  ( ~ (v2_struct_0(B))  =>  ( ~ (v2_struct_0(B))  & v1_monoid_0(B)) ) ) ) ) ) ).
fof(cc21_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_monoid_0(A) & l3_algstr_0(A)) )  =>  (! [B] :  (m3_monoid_0(B, A) =>  ( ~ (v2_struct_0(B))  =>  ( ~ (v2_struct_0(B))  & v1_monoid_0(B)) ) ) ) ) ) ).
fof(cc22_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_monoid_0(A) & l3_algstr_0(A)) )  =>  (! [B] :  (m2_monoid_0(B, A) =>  ( ~ (v2_struct_0(B))  =>  ( ~ (v2_struct_0(B))  & v2_monoid_0(B)) ) ) ) ) ) ).
fof(cc23_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_monoid_0(A) & l3_algstr_0(A)) )  =>  (! [B] :  (m3_monoid_0(B, A) =>  ( ~ (v2_struct_0(B))  =>  ( ~ (v2_struct_0(B))  & v2_monoid_0(B)) ) ) ) ) ) ).
fof(cc24_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) & l4_algstr_0(A)) )  =>  (! [B] :  (m3_monoid_0(B, A) =>  ( ~ (v2_struct_0(B))  =>  ( ~ (v2_struct_0(B))  & v4_vectsp_1(B)) ) ) ) ) ) ).
fof(cc25_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  (m2_monoid_0(B, A) =>  ( ~ (v2_struct_0(B))  =>  ( ~ (v2_struct_0(B))  & v5_group_1(B)) ) ) ) ) ) ).
fof(cc26_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  (m3_monoid_0(B, A) =>  ( ~ (v2_struct_0(B))  =>  ( ~ (v2_struct_0(B))  & v5_group_1(B)) ) ) ) ) ) ).
fof(cc27_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  (m2_monoid_0(B, A) =>  ( ~ (v2_struct_0(B))  =>  ( ~ (v2_struct_0(B))  & v3_group_1(B)) ) ) ) ) ) ).
fof(cc28_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  (m3_monoid_0(B, A) =>  ( ~ (v2_struct_0(B))  =>  ( ~ (v2_struct_0(B))  & v3_group_1(B)) ) ) ) ) ) ).
fof(cc29_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_monoid_0(A) & l3_algstr_0(A)) )  =>  (! [B] :  (m2_monoid_0(B, A) =>  ( ~ (v2_struct_0(B))  =>  ( ~ (v2_struct_0(B))  & v10_monoid_0(B)) ) ) ) ) ) ).
fof(cc30_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_monoid_0(A) & l3_algstr_0(A)) )  =>  (! [B] :  (m3_monoid_0(B, A) =>  ( ~ (v2_struct_0(B))  =>  ( ~ (v2_struct_0(B))  & v10_monoid_0(B)) ) ) ) ) ) ).
fof(cc31_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v16_monoid_0(A) & l3_algstr_0(A)) )  =>  (! [B] :  (m2_monoid_0(B, A) =>  ( ~ (v2_struct_0(B))  =>  ( ~ (v2_struct_0(B))  & v16_monoid_0(B)) ) ) ) ) ) ).
fof(cc32_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v16_monoid_0(A) & l3_algstr_0(A)) )  =>  (! [B] :  (m3_monoid_0(B, A) =>  ( ~ (v2_struct_0(B))  =>  ( ~ (v2_struct_0(B))  & v16_monoid_0(B)) ) ) ) ) ) ).
fof(cc33_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) &  (v17_monoid_0(A) & l4_algstr_0(A)) ) )  =>  (! [B] :  (m3_monoid_0(B, A) =>  ( ~ (v2_struct_0(B))  =>  ( ~ (v2_struct_0(B))  & v17_monoid_0(B)) ) ) ) ) ) ).
fof(fc1_monoid_0, axiom,  ( ~ (v2_struct_0(k2_monoid_0))  &  (v15_algstr_0(k2_monoid_0) &  (v1_group_1(k2_monoid_0) &  (v3_group_1(k2_monoid_0) &  (v5_group_1(k2_monoid_0) &  (v13_monoid_0(k2_monoid_0) & v16_monoid_0(k2_monoid_0)) ) ) ) ) ) ).
fof(cc34_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  (m2_monoid_0(B, A) =>  ( ( ~ (v2_struct_0(B))  &  (v3_group_1(B) & v13_monoid_0(B)) )  =>  ( ~ (v2_struct_0(B))  &  (v1_group_1(B) &  (v2_group_1(B) & v16_monoid_0(B)) ) ) ) ) ) ) ) ).
fof(fc2_monoid_0, axiom,  (! [A] :  ( ~ (v2_struct_0(k12_monoid_0(A)))  &  (v15_algstr_0(k12_monoid_0(A)) &  (v1_group_1(k12_monoid_0(A)) &  (v3_group_1(k12_monoid_0(A)) & v1_monoid_0(k12_monoid_0(A))) ) ) ) ) ).
fof(fc3_monoid_0, axiom,  (! [A] :  ( ~ (v2_struct_0(k15_monoid_0(A)))  &  (v15_algstr_0(k15_monoid_0(A)) & v1_group_1(k15_monoid_0(A))) ) ) ).
fof(fc4_monoid_0, axiom,  (! [A] :  ( ~ (v2_struct_0(k17_monoid_0(A)))  &  (v15_algstr_0(k17_monoid_0(A)) &  (v1_group_1(k17_monoid_0(A)) & v13_monoid_0(k17_monoid_0(A))) ) ) ) ).
fof(d1_monoid_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v1_monoid_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v1_relat_1(B) & v1_funct_1(B)) ) ) ) ) ) ).
fof(d2_monoid_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_monoid_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) ) ) ) ) ).
fof(d3_monoid_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v3_monoid_0(B, A) <=>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (? [E] :  (m1_subset_1(E, A) & k4_binop_1(A, B, E, C)=D) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_monoid_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v4_monoid_0(B, A) <=>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (? [E] :  (m1_subset_1(E, A) & k4_binop_1(A, B, C, E)=D) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_monoid_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v5_monoid_0(B, A) <=>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (? [E] :  (m1_subset_1(E, A) &  (? [F] :  (m1_subset_1(F, A) &  (k4_binop_1(A, B, C, E)=D & k4_binop_1(A, B, F, C)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_monoid_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v6_monoid_0(B, A) <=>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (k4_binop_1(A, B, C, D)=k4_binop_1(A, B, C, E) => D=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_monoid_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v7_monoid_0(B, A) <=>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (k4_binop_1(A, B, D, C)=k4_binop_1(A, B, E, C) => D=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_monoid_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v8_monoid_0(B, A) <=>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  ( (k4_binop_1(A, B, C, D)=k4_binop_1(A, B, C, E) | k4_binop_1(A, B, D, C)=k4_binop_1(A, B, E, C))  => D=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_monoid_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v9_monoid_0(B, A) <=>  (v1_setwiseo(B, A) &  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (k4_binop_1(A, B, C, D)=k3_binop_1(A, B) =>  (C=D & D=k3_binop_1(A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_monoid_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v5_monoid_0(B, A) <=>  (v3_monoid_0(B, A) & v4_monoid_0(B, A)) ) ) ) ) ) ).
fof(t2_monoid_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v8_monoid_0(B, A) <=>  (v6_monoid_0(B, A) & v7_monoid_0(B, A)) ) ) ) ) ) ).
fof(t3_monoid_0, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k1_tarski(A), k1_tarski(A)), k1_tarski(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_tarski(A), k1_tarski(A)), k1_tarski(A))))) )  =>  (B=k13_funcop_1(A, A, A) &  (v1_setwiseo(B, k1_tarski(A)) &  (v1_binop_1(B, k1_tarski(A)) &  (v2_binop_1(B, k1_tarski(A)) &  (v3_binop_1(B, k1_tarski(A)) &  (v5_monoid_0(B, k1_tarski(A)) &  (v8_monoid_0(B, k1_tarski(A)) & v9_monoid_0(B, k1_tarski(A))) ) ) ) ) ) ) ) ) ) ).
fof(d10_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (v1_group_1(A) <=> v1_setwiseo(u2_algstr_0(A), u1_struct_0(A))) ) ) ).
fof(d11_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (v5_group_1(A) <=> v1_binop_1(u2_algstr_0(A), u1_struct_0(A))) ) ) ).
fof(d12_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (v3_group_1(A) <=> v2_binop_1(u2_algstr_0(A), u1_struct_0(A))) ) ) ).
fof(d13_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (v10_monoid_0(A) <=> v3_binop_1(u2_algstr_0(A), u1_struct_0(A))) ) ) ).
fof(d14_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (v11_monoid_0(A) <=> v3_monoid_0(u2_algstr_0(A), u1_struct_0(A))) ) ) ).
fof(d15_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (v12_monoid_0(A) <=> v4_monoid_0(u2_algstr_0(A), u1_struct_0(A))) ) ) ).
fof(d16_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (v13_monoid_0(A) <=> v5_monoid_0(u2_algstr_0(A), u1_struct_0(A))) ) ) ).
fof(d17_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (v14_monoid_0(A) <=> v6_monoid_0(u2_algstr_0(A), u1_struct_0(A))) ) ) ).
fof(d18_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (v15_monoid_0(A) <=> v7_monoid_0(u2_algstr_0(A), u1_struct_0(A))) ) ) ).
fof(d19_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (v16_monoid_0(A) <=> v8_monoid_0(u2_algstr_0(A), u1_struct_0(A))) ) ) ).
fof(d20_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (v17_monoid_0(A) <=> v9_monoid_0(u2_algstr_0(A), u1_struct_0(A))) ) ) ).
fof(t4_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (v1_group_1(A) => r3_binop_1(u1_struct_0(A), k3_binop_1(u1_struct_0(A), u2_algstr_0(A)), u2_algstr_0(A))) ) ) ).
fof(t5_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (v1_group_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k6_algstr_0(A, k3_binop_1(u1_struct_0(A), u2_algstr_0(A)), B)=B & k6_algstr_0(A, B, k3_binop_1(u1_struct_0(A), u2_algstr_0(A)))=B) ) ) ) ) ) ).
fof(t6_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (v1_group_1(A) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k6_algstr_0(A, B, C)=C & k6_algstr_0(A, C, B)=C) ) ) ) ) ) ) ) ).
fof(t7_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (v10_monoid_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_algstr_0(A, B, B)=B) ) ) ) ) ).
fof(t8_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (v11_monoid_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & k6_algstr_0(A, D, B)=C) ) ) ) ) ) ) ) ) ).
fof(t9_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (v12_monoid_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & k6_algstr_0(A, B, D)=C) ) ) ) ) ) ) ) ) ).
fof(t10_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (v13_monoid_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (k6_algstr_0(A, B, D)=C & k6_algstr_0(A, E, B)=C) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (v14_monoid_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k6_algstr_0(A, B, C)=k6_algstr_0(A, B, D) => C=D) ) ) ) ) ) ) ) ) ) ).
fof(t12_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (v15_monoid_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k6_algstr_0(A, C, B)=k6_algstr_0(A, D, B) => C=D) ) ) ) ) ) ) ) ) ) ).
fof(t13_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (v16_monoid_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (k6_algstr_0(A, B, C)=k6_algstr_0(A, B, D) | k6_algstr_0(A, C, B)=k6_algstr_0(A, D, B))  => C=D) ) ) ) ) ) ) ) ) ) ).
fof(t14_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (v17_monoid_0(A) <=>  (v1_setwiseo(u2_algstr_0(A), u1_struct_0(A)) &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k6_algstr_0(A, B, C)=k3_binop_1(u1_struct_0(A), u2_algstr_0(A)) =>  (B=C & C=k3_binop_1(u1_struct_0(A), u2_algstr_0(A))) ) ) ) ) ) ) ) ) ) ).
fof(t15_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (v3_group_1(A) =>  (v13_monoid_0(A) <=>  (v1_group_1(A) & v1_finseqop(u2_algstr_0(A), u1_struct_0(A))) ) ) ) ) ).
fof(d21_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (v4_vectsp_1(A) <=> r3_binop_1(u1_struct_0(A), k5_struct_0(A), u2_algstr_0(A))) ) ) ).
fof(t16_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (v4_vectsp_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k6_algstr_0(A, k5_struct_0(A), B)=B & k6_algstr_0(A, B, k5_struct_0(A))=B) ) ) ) ) ) ).
fof(t17_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (v4_vectsp_1(A) => k5_struct_0(A)=k3_binop_1(u1_struct_0(A), u2_algstr_0(A))) ) ) ).
fof(d22_monoid_0, axiom,  (! [A] :  (l3_algstr_0(A) =>  (! [B] :  (l4_algstr_0(B) =>  (m1_monoid_0(B, A) <=> g3_algstr_0(u1_struct_0(B), u2_algstr_0(B))=g3_algstr_0(u1_struct_0(A), u2_algstr_0(A))) ) ) ) ) ).
fof(t18_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_monoid_0(B, A) =>  (u1_struct_0(B)=u1_struct_0(A) &  (r1_funct_2(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(B), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A), u2_algstr_0(B), u2_algstr_0(A)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (C=E & D=F)  => k6_algstr_0(B, C, D)=k6_algstr_0(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_monoid_0(B, A) =>  ( (v1_group_1(A) => v1_group_1(B))  &  ( (v5_group_1(A) => v5_group_1(B))  &  ( (v3_group_1(A) => v3_group_1(B))  &  ( (v13_monoid_0(A) => v13_monoid_0(B))  &  ( (v17_monoid_0(A) => v17_monoid_0(B))  &  (v16_monoid_0(A) => v16_monoid_0(B)) ) ) ) ) ) ) ) ) ) ).
fof(t20_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  ( (v22_algstr_0(B) &  (v4_vectsp_1(B) & m1_monoid_0(B, A)) )  =>  (! [C] :  ( (v22_algstr_0(C) &  (v4_vectsp_1(C) & m1_monoid_0(C, A)) )  => B=C) ) ) ) ) ) ).
fof(d23_monoid_0, axiom,  (! [A] :  (l3_algstr_0(A) =>  (! [B] :  (l3_algstr_0(B) =>  (m2_monoid_0(B, A) <=> r1_tarski(u2_algstr_0(B), u2_algstr_0(A))) ) ) ) ) ).
fof(d24_monoid_0, axiom,  (! [A] :  (l3_algstr_0(A) =>  (! [B] :  (l4_algstr_0(B) =>  (m3_monoid_0(B, A) <=>  (r1_tarski(u2_algstr_0(B), u2_algstr_0(A)) &  (! [C] :  (l4_algstr_0(C) =>  (A=C => k5_struct_0(B)=k5_struct_0(C)) ) ) ) ) ) ) ) ) ).
fof(d25_monoid_0, axiom,  (! [A] :  (l4_algstr_0(A) =>  (! [B] :  (l4_algstr_0(B) =>  (m3_monoid_0(B, A) <=>  (r1_tarski(u2_algstr_0(B), u2_algstr_0(A)) & k5_struct_0(B)=k5_struct_0(A)) ) ) ) ) ) ).
fof(t21_monoid_0, axiom,  (! [A] :  (l3_algstr_0(A) =>  (! [B] :  (m3_monoid_0(B, A) => m2_monoid_0(B, A)) ) ) ) ).
fof(t22_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l4_algstr_0(B))  =>  (m2_monoid_0(A, A) & m3_monoid_0(B, B)) ) ) ) ) ).
fof(t23_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m2_monoid_0(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & m3_monoid_0(C, A))  =>  (r1_tarski(u1_struct_0(B), u1_struct_0(A)) & r1_tarski(u1_struct_0(C), u1_struct_0(A))) ) ) ) ) ) ) ).
fof(t24_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m2_monoid_0(B, A))  => u2_algstr_0(B)=k1_realset1(u2_algstr_0(A), u1_struct_0(B))) ) ) ) ).
fof(t25_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m2_monoid_0(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (C=E & D=F)  => k6_algstr_0(B, C, D)=k6_algstr_0(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m2_monoid_0(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & m2_monoid_0(C, A))  =>  (u1_struct_0(B)=u1_struct_0(C) => g3_algstr_0(u1_struct_0(B), u2_algstr_0(B))=g3_algstr_0(u1_struct_0(C), u2_algstr_0(C))) ) ) ) ) ) ) ).
fof(t27_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m3_monoid_0(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & m3_monoid_0(C, A))  =>  (u1_struct_0(B)=u1_struct_0(C) => g4_algstr_0(u1_struct_0(B), u2_algstr_0(B), u3_struct_0(B))=g4_algstr_0(u1_struct_0(C), u2_algstr_0(C), u3_struct_0(C))) ) ) ) ) ) ) ).
fof(t28_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m2_monoid_0(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & m2_monoid_0(C, A))  =>  (r1_tarski(u1_struct_0(B), u1_struct_0(C)) => m5_monoid_0(B, A, C)) ) ) ) ) ) ) ).
fof(t29_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m3_monoid_0(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & m3_monoid_0(C, A))  =>  (r1_tarski(u1_struct_0(B), u1_struct_0(C)) => m7_monoid_0(B, A, C)) ) ) ) ) ) ) ).
fof(t30_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m2_monoid_0(B, A))  =>  ( (v1_group_1(A) & r2_tarski(k3_binop_1(u1_struct_0(A), u2_algstr_0(A)), u1_struct_0(B)))  =>  (v1_group_1(B) & k3_binop_1(u1_struct_0(A), u2_algstr_0(A))=k3_binop_1(u1_struct_0(B), u2_algstr_0(B))) ) ) ) ) ) ).
fof(t31_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) & l4_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m3_monoid_0(B, A))  => v4_vectsp_1(B)) ) ) ) ).
fof(t32_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m2_monoid_0(B, A))  =>  (v5_group_1(A) => v5_group_1(B)) ) ) ) ) ).
fof(t33_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m2_monoid_0(B, A))  =>  (v3_group_1(A) => v3_group_1(B)) ) ) ) ) ).
fof(t34_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m2_monoid_0(B, A))  =>  (v10_monoid_0(A) => v10_monoid_0(B)) ) ) ) ) ).
fof(t35_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m2_monoid_0(B, A))  =>  (v16_monoid_0(A) => v16_monoid_0(B)) ) ) ) ) ).
fof(t36_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m2_monoid_0(B, A))  =>  ( (r2_tarski(k3_binop_1(u1_struct_0(A), u2_algstr_0(A)), u1_struct_0(B)) & v17_monoid_0(A))  => v17_monoid_0(B)) ) ) ) ) ).
fof(t37_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) &  (v17_monoid_0(A) & l4_algstr_0(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m3_monoid_0(B, A))  => v17_monoid_0(B)) ) ) ) ).
fof(d26_monoid_0, axiom, k2_monoid_0=g3_algstr_0(k1_numbers, k9_binop_2)).
fof(t38_monoid_0, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_monoid_0)) <=> m1_subset_1(A, k1_numbers)) ) ).
fof(t39_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & m2_monoid_0(A, k2_monoid_0))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ( (B=D & C=E)  => k6_algstr_0(A, B, C)=k2_xcmplx_0(D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & m2_monoid_0(A, k2_monoid_0)) )  => k3_binop_1(u1_struct_0(A), u2_algstr_0(A))=k5_numbers) ) ).
fof(t41_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) & m2_monoid_0(A, k2_monoid_0)) )  =>  (A=k3_monoid_0 <=> u1_struct_0(A)=k4_numbers) ) ) ).
fof(t42_monoid_0, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k3_monoid_0)) <=> v1_int_1(A)) ) ).
fof(d27_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v1_group_1(A) &  (v17_monoid_0(A) & m5_monoid_0(A, k2_monoid_0, k3_monoid_0)) ) ) )  =>  (A=k4_monoid_0 <=> u1_struct_0(A)=k4_ordinal1) ) ) ).
fof(d28_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v22_algstr_0(A) &  (v4_vectsp_1(A) & m1_monoid_0(A, k4_monoid_0)) ) )  => A=k5_monoid_0) ) ).
fof(d29_monoid_0, axiom, k23_binop_2=u2_algstr_0(k4_monoid_0)).
fof(t43_monoid_0, axiom, k4_monoid_0=g3_algstr_0(k4_ordinal1, k23_binop_2)).
fof(t44_monoid_0, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_monoid_0)) <=> m1_subset_1(A, k4_ordinal1)) ) ).
fof(t45_monoid_0, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_monoid_0)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_monoid_0)) =>  ( (A=C & B=D)  => k6_algstr_0(k5_monoid_0, C, D)=k2_xcmplx_0(A, B)) ) ) ) ) ) ) ) ) ).
fof(t46_monoid_0, axiom, k5_monoid_0=g4_algstr_0(k4_ordinal1, k23_binop_2, k5_numbers)).
fof(t47_monoid_0, axiom,  (k23_binop_2=k1_realset1(k9_binop_2, k4_ordinal1) & k23_binop_2=k1_realset1(k20_binop_2, k4_ordinal1)) ).
fof(t48_monoid_0, axiom,  (r3_binop_1(k4_ordinal1, k5_numbers, k23_binop_2) & v9_monoid_0(k23_binop_2, k4_ordinal1)) ).
fof(d30_monoid_0, axiom, k6_monoid_0=g3_algstr_0(k1_numbers, k11_binop_2)).
fof(t49_monoid_0, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k6_monoid_0)) <=> m1_subset_1(A, k1_numbers)) ) ).
fof(t50_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & m2_monoid_0(A, k6_monoid_0))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ( (B=D & C=E)  => k6_algstr_0(A, B, C)=k3_xcmplx_0(D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & m2_monoid_0(A, k6_monoid_0)) )  =>  (k3_binop_1(u1_struct_0(A), u2_algstr_0(A))=k5_numbers | k3_binop_1(u1_struct_0(A), u2_algstr_0(A))=1) ) ) ).
fof(d31_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) &  (v1_group_1(A) &  (v17_monoid_0(A) & m2_monoid_0(A, k6_monoid_0)) ) ) )  =>  (A=k7_monoid_0 <=> u1_struct_0(A)=k4_ordinal1) ) ) ).
fof(d32_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v22_algstr_0(A) &  (v4_vectsp_1(A) & m1_monoid_0(A, k7_monoid_0)) ) )  => A=k8_monoid_0) ) ).
fof(d33_monoid_0, axiom, k24_binop_2=u2_algstr_0(k7_monoid_0)).
fof(t52_monoid_0, axiom, k7_monoid_0=g3_algstr_0(k4_ordinal1, k24_binop_2)).
fof(t53_monoid_0, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_monoid_0)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_monoid_0)) =>  ( (A=C & B=D)  => k6_algstr_0(k7_monoid_0, C, D)=k3_xcmplx_0(A, B)) ) ) ) ) ) ) ) ) ).
fof(t54_monoid_0, axiom, k3_binop_1(u1_struct_0(k7_monoid_0), u2_algstr_0(k7_monoid_0))=1).
fof(t55_monoid_0, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k8_monoid_0)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k8_monoid_0)) =>  ( (A=C & B=D)  => k6_algstr_0(k8_monoid_0, C, D)=k3_xcmplx_0(A, B)) ) ) ) ) ) ) ) ) ).
fof(t56_monoid_0, axiom, k8_monoid_0=g4_algstr_0(k4_ordinal1, k24_binop_2, 1)).
fof(t57_monoid_0, axiom, k24_binop_2=k1_realset1(k11_binop_2, k4_ordinal1)).
fof(t58_monoid_0, axiom,  (r3_binop_1(k4_ordinal1, 1, k24_binop_2) & v9_monoid_0(k24_binop_2, k4_ordinal1)) ).
fof(d34_monoid_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v15_algstr_0(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v2_monoid_0(B) &  (v16_monoid_0(B) &  (v17_monoid_0(B) & l3_algstr_0(B)) ) ) ) ) ) )  =>  (B=k9_monoid_0(A) <=>  (u1_struct_0(B)=k3_finseq_2(A) &  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k6_algstr_0(B, C, D)=k7_finseq_1(C, D)) ) ) ) ) ) ) ) ) ) ).
fof(d35_monoid_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v22_algstr_0(B) &  (v4_vectsp_1(B) & m1_monoid_0(B, k9_monoid_0(A))) ) )  => B=k10_monoid_0(A)) ) ) ) ).
fof(d36_monoid_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k11_monoid_0(A)=u2_algstr_0(k9_monoid_0(A))) ) ).
fof(t59_monoid_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k9_monoid_0(A)=g3_algstr_0(k3_finseq_2(A), k11_monoid_0(A))) ) ).
fof(t60_monoid_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k3_binop_1(u1_struct_0(k9_monoid_0(A)), u2_algstr_0(k9_monoid_0(A)))=k1_xboole_0) ) ).
fof(t61_monoid_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (u1_struct_0(k10_monoid_0(A))=k3_finseq_2(A) &  (r1_funct_2(k2_zfmisc_1(u1_struct_0(k10_monoid_0(A)), u1_struct_0(k10_monoid_0(A))), u1_struct_0(k10_monoid_0(A)), k2_zfmisc_1(k3_finseq_2(A), k3_finseq_2(A)), k3_finseq_2(A), u2_algstr_0(k10_monoid_0(A)), k11_monoid_0(A)) & k5_struct_0(k10_monoid_0(A))=k1_xboole_0) ) ) ) ).
fof(t62_monoid_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k10_monoid_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k10_monoid_0(A))) => k6_algstr_0(k10_monoid_0(A), B, C)=k7_finseq_1(B, C)) ) ) ) ) ) ).
fof(t63_monoid_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m2_monoid_0(B, k9_monoid_0(A)))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k6_algstr_0(B, C, D)=k7_finseq_1(C, D)) ) ) ) ) ) ) ) ).
fof(t64_monoid_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_group_1(B) & m2_monoid_0(B, k9_monoid_0(A))) )  => k3_binop_1(u1_struct_0(B), u2_algstr_0(B))=k1_xboole_0) ) ) ) ).
fof(t65_monoid_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m2_monoid_0(B, k9_monoid_0(A)))  =>  (m1_subset_1(k1_xboole_0, u1_struct_0(B)) =>  (v1_group_1(B) & k3_binop_1(u1_struct_0(B), u2_algstr_0(B))=k1_xboole_0) ) ) ) ) ) ).
fof(t66_monoid_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (r1_tarski(A, B) => m2_monoid_0(k9_monoid_0(A), k9_monoid_0(B))) ) ) ) ) ).
fof(t67_monoid_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_setwiseo(k11_monoid_0(A), k3_finseq_2(A)) &  (k3_binop_1(k3_finseq_2(A), k11_monoid_0(A))=k1_xboole_0 & v2_binop_1(k11_monoid_0(A), k3_finseq_2(A))) ) ) ) ).
fof(d37_monoid_0, axiom,  (! [A] :  (! [B] :  ( (v15_algstr_0(B) &  (v1_monoid_0(B) & l3_algstr_0(B)) )  =>  (B=k12_monoid_0(A) <=>  (u1_struct_0(B)=k4_partfun1(A, A) &  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k6_algstr_0(B, C, D)=k3_relat_1(C, D)) ) ) ) ) ) ) ) ) ).
fof(d38_monoid_0, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v22_algstr_0(B) &  (v4_vectsp_1(B) & m1_monoid_0(B, k12_monoid_0(A))) ) )  => B=k13_monoid_0(A)) ) ) ).
fof(d39_monoid_0, axiom,  (! [A] : k14_monoid_0(A)=u2_algstr_0(k12_monoid_0(A))) ).
fof(t68_monoid_0, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, u1_struct_0(k12_monoid_0(B))) <=>  (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) ) ) ).
fof(t69_monoid_0, axiom,  (! [A] : k3_binop_1(u1_struct_0(k12_monoid_0(A)), u2_algstr_0(k12_monoid_0(A)))=k6_partfun1(A)) ).
fof(t70_monoid_0, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & m2_monoid_0(B, k12_monoid_0(A)))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k6_algstr_0(B, C, D)=k3_relat_1(C, D)) ) ) ) ) ) ) ).
fof(t71_monoid_0, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & m2_monoid_0(B, k12_monoid_0(A)))  =>  (m1_subset_1(k6_partfun1(A), u1_struct_0(B)) =>  (v1_group_1(B) & k3_binop_1(u1_struct_0(B), u2_algstr_0(B))=k6_partfun1(A)) ) ) ) ) ).
fof(t72_monoid_0, axiom,  (! [A] :  (! [B] :  (r1_tarski(B, A) => m2_monoid_0(k12_monoid_0(B), k12_monoid_0(A))) ) ) ).
fof(d40_monoid_0, axiom,  (! [A] :  (! [B] :  ( (v15_algstr_0(B) & m2_monoid_0(B, k12_monoid_0(A)))  =>  (B=k15_monoid_0(A) <=> u1_struct_0(B)=k1_funct_2(A, A)) ) ) ) ).
fof(d41_monoid_0, axiom,  (! [A] :  (! [B] :  ( (v22_algstr_0(B) &  (v4_vectsp_1(B) & m1_monoid_0(B, k15_monoid_0(A))) )  => B=k16_monoid_0(A)) ) ) ).
fof(t73_monoid_0, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, u1_struct_0(k15_monoid_0(B))) <=>  (v1_funct_1(A) &  (v1_funct_2(A, B, B) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) ) ) ) ).
fof(t74_monoid_0, axiom,  (! [A] : u2_algstr_0(k15_monoid_0(A))=k1_realset1(k14_monoid_0(A), k1_funct_2(A, A))) ).
fof(t75_monoid_0, axiom,  (! [A] : k3_binop_1(u1_struct_0(k15_monoid_0(A)), u2_algstr_0(k15_monoid_0(A)))=k6_partfun1(A)) ).
fof(t76_monoid_0, axiom,  (! [A] :  (u1_struct_0(k16_monoid_0(A))=k1_funct_2(A, A) &  (u2_algstr_0(k16_monoid_0(A))=k1_realset1(k14_monoid_0(A), k1_funct_2(A, A)) & k5_struct_0(k16_monoid_0(A))=k6_partfun1(A)) ) ) ).
fof(d42_monoid_0, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v15_algstr_0(B) & m5_monoid_0(B, k12_monoid_0(A), k15_monoid_0(A))) )  =>  (B=k17_monoid_0(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_monoid_0(A))) =>  (r2_tarski(C, u1_struct_0(B)) <=>  (v1_funct_1(C) &  (v1_funct_2(C, A, A) &  (v3_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ) ) ) ) ) ).
fof(t77_monoid_0, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, u1_struct_0(k17_monoid_0(B))) <=>  (v1_funct_1(A) &  (v1_funct_2(A, B, B) &  (v3_funct_2(A, B, B) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) ) ) ) ) ).
fof(t78_monoid_0, axiom,  (! [A] :  (k3_binop_1(u1_struct_0(k17_monoid_0(A)), u2_algstr_0(k17_monoid_0(A)))=k6_partfun1(A) & k1_group_1(k17_monoid_0(A))=k6_partfun1(A)) ) ).
fof(t79_monoid_0, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k17_monoid_0(A))) => k2_group_1(k17_monoid_0(A), B)=k2_funct_1(B)) ) ) ).
fof(t80_monoid_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v4_funct_1(u1_struct_0(A)) => v1_monoid_0(A)) ) ) ).
fof(t81_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( ( (! [C] :  (m2_subset_1(C, u1_struct_0(A), B) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(A), B) => r2_tarski(k6_algstr_0(A, C, D), B)) ) ) )  &  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v15_algstr_0(C) & m2_monoid_0(C, A)) )  =>  ~ (u1_struct_0(C)=B) ) ) ) ) ) ) ) ) ).
fof(t82_monoid_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( ( (! [C] :  (m2_subset_1(C, u1_struct_0(A), B) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(A), B) => r2_tarski(k6_algstr_0(A, C, D), B)) ) ) )  &  (r2_tarski(k5_struct_0(A), B) &  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v22_algstr_0(C) & m3_monoid_0(C, A)) )  =>  ~ (u1_struct_0(C)=B) ) ) ) ) ) ) ) ) ) ).
fof(s1_monoid_0, axiom,  ( ( (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s1_monoid_0)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(f1_s1_monoid_0)) =>  ( (p1_s1_monoid_0(A) & p1_s1_monoid_0(B))  => p1_s1_monoid_0(k6_algstr_0(f1_s1_monoid_0, A, B))) ) ) ) )  &  (? [A] :  (m1_subset_1(A, u1_struct_0(f1_s1_monoid_0)) & p1_s1_monoid_0(A)) ) )  =>  (? [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_algstr_0(A) & m2_monoid_0(A, f1_s1_monoid_0)) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(f1_s1_monoid_0)) =>  (r2_tarski(B, u1_struct_0(A)) <=> p1_s1_monoid_0(B)) ) ) ) ) ) ).
fof(s2_monoid_0, axiom,  ( ( (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s2_monoid_0)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(f1_s2_monoid_0)) =>  ( (p1_s2_monoid_0(A) & p1_s2_monoid_0(B))  => p1_s2_monoid_0(k6_algstr_0(f1_s2_monoid_0, A, B))) ) ) ) )  & p1_s2_monoid_0(k5_struct_0(f1_s2_monoid_0)))  =>  (? [A] :  ( ( ~ (v2_struct_0(A))  &  (v22_algstr_0(A) & m3_monoid_0(A, f1_s2_monoid_0)) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(f1_s2_monoid_0)) =>  (r2_tarski(B, u1_struct_0(A)) <=> p1_s2_monoid_0(B)) ) ) ) ) ) ).
fof(dt_k1_monoid_0, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, A) & m1_finseq_1(C, A))  => m2_finseq_2(k1_monoid_0(A, B, C), A, k3_finseq_2(A))) ) ).
fof(redefinition_k1_monoid_0, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, A) & m1_finseq_1(C, A))  => k1_monoid_0(A, B, C)=k7_finseq_1(B, C)) ) ).
fof(dt_m1_monoid_0, axiom,  (! [A] :  (l3_algstr_0(A) =>  (! [B] :  (m1_monoid_0(B, A) => l4_algstr_0(B)) ) ) ) ).
fof(existence_m1_monoid_0, axiom,  (! [A] :  (l3_algstr_0(A) =>  (? [B] : m1_monoid_0(B, A)) ) ) ).
fof(dt_m2_monoid_0, axiom,  (! [A] :  (l3_algstr_0(A) =>  (! [B] :  (m2_monoid_0(B, A) => l3_algstr_0(B)) ) ) ) ).
fof(existence_m2_monoid_0, axiom,  (! [A] :  (l3_algstr_0(A) =>  (? [B] : m2_monoid_0(B, A)) ) ) ).
fof(dt_m3_monoid_0, axiom,  (! [A] :  (l3_algstr_0(A) =>  (! [B] :  (m3_monoid_0(B, A) => l4_algstr_0(B)) ) ) ) ).
fof(existence_m3_monoid_0, axiom,  (! [A] :  (l3_algstr_0(A) =>  (? [B] : m3_monoid_0(B, A)) ) ) ).
fof(dt_m4_monoid_0, axiom,  (! [A, B] :  ( (l3_algstr_0(A) & m1_monoid_0(B, A))  =>  (! [C] :  (m4_monoid_0(C, A, B) => m2_monoid_0(C, A)) ) ) ) ).
fof(existence_m4_monoid_0, axiom,  (! [A, B] :  ( (l3_algstr_0(A) & m1_monoid_0(B, A))  =>  (? [C] : m4_monoid_0(C, A, B)) ) ) ).
fof(redefinition_m4_monoid_0, axiom,  (! [A, B] :  ( (l3_algstr_0(A) & m1_monoid_0(B, A))  =>  (! [C] :  (m4_monoid_0(C, A, B) <=> m2_monoid_0(C, B)) ) ) ) ).
fof(dt_m5_monoid_0, axiom,  (! [A, B] :  ( (l3_algstr_0(A) & m2_monoid_0(B, A))  =>  (! [C] :  (m5_monoid_0(C, A, B) => m2_monoid_0(C, A)) ) ) ) ).
fof(existence_m5_monoid_0, axiom,  (! [A, B] :  ( (l3_algstr_0(A) & m2_monoid_0(B, A))  =>  (? [C] : m5_monoid_0(C, A, B)) ) ) ).
fof(redefinition_m5_monoid_0, axiom,  (! [A, B] :  ( (l3_algstr_0(A) & m2_monoid_0(B, A))  =>  (! [C] :  (m5_monoid_0(C, A, B) <=> m2_monoid_0(C, B)) ) ) ) ).
fof(dt_m6_monoid_0, axiom,  (! [A, B] :  ( (l3_algstr_0(A) & m3_monoid_0(B, A))  =>  (! [C] :  (m6_monoid_0(C, A, B) => m2_monoid_0(C, A)) ) ) ) ).
fof(existence_m6_monoid_0, axiom,  (! [A, B] :  ( (l3_algstr_0(A) & m3_monoid_0(B, A))  =>  (? [C] : m6_monoid_0(C, A, B)) ) ) ).
fof(redefinition_m6_monoid_0, axiom,  (! [A, B] :  ( (l3_algstr_0(A) & m3_monoid_0(B, A))  =>  (! [C] :  (m6_monoid_0(C, A, B) <=> m2_monoid_0(C, B)) ) ) ) ).
fof(dt_m7_monoid_0, axiom,  (! [A, B] :  ( (l3_algstr_0(A) & m3_monoid_0(B, A))  =>  (! [C] :  (m7_monoid_0(C, A, B) => m3_monoid_0(C, A)) ) ) ) ).
fof(existence_m7_monoid_0, axiom,  (! [A, B] :  ( (l3_algstr_0(A) & m3_monoid_0(B, A))  =>  (? [C] : m7_monoid_0(C, A, B)) ) ) ).
fof(redefinition_m7_monoid_0, axiom,  (! [A, B] :  ( (l3_algstr_0(A) & m3_monoid_0(B, A))  =>  (! [C] :  (m7_monoid_0(C, A, B) <=> m3_monoid_0(C, B)) ) ) ) ).
fof(dt_f1_s1_monoid_0, axiom,  ( ~ (v2_struct_0(f1_s1_monoid_0))  & l3_algstr_0(f1_s1_monoid_0)) ).
fof(dt_f1_s2_monoid_0, axiom,  ( ~ (v2_struct_0(f1_s2_monoid_0))  & l4_algstr_0(f1_s2_monoid_0)) ).
fof(dt_k2_monoid_0, axiom,  ( ~ (v2_struct_0(k2_monoid_0))  & l3_algstr_0(k2_monoid_0)) ).
fof(dt_k3_monoid_0, axiom,  ( ~ (v2_struct_0(k3_monoid_0))  &  (v15_algstr_0(k3_monoid_0) & m2_monoid_0(k3_monoid_0, k2_monoid_0)) ) ).
fof(redefinition_k3_monoid_0, axiom, k3_monoid_0=k2_gr_cy_1).
fof(dt_k4_monoid_0, axiom,  ( ~ (v2_struct_0(k4_monoid_0))  &  (v15_algstr_0(k4_monoid_0) &  (v1_group_1(k4_monoid_0) &  (v17_monoid_0(k4_monoid_0) & m5_monoid_0(k4_monoid_0, k2_monoid_0, k3_monoid_0)) ) ) ) ).
fof(dt_k5_monoid_0, axiom,  ( ~ (v2_struct_0(k5_monoid_0))  &  (v22_algstr_0(k5_monoid_0) &  (v4_vectsp_1(k5_monoid_0) & m1_monoid_0(k5_monoid_0, k4_monoid_0)) ) ) ).
fof(dt_k6_monoid_0, axiom,  ( ~ (v2_struct_0(k6_monoid_0))  &  (v15_algstr_0(k6_monoid_0) &  (v1_group_1(k6_monoid_0) &  (v3_group_1(k6_monoid_0) &  (v5_group_1(k6_monoid_0) & l3_algstr_0(k6_monoid_0)) ) ) ) ) ).
fof(dt_k7_monoid_0, axiom,  ( ~ (v2_struct_0(k7_monoid_0))  &  (v15_algstr_0(k7_monoid_0) &  (v1_group_1(k7_monoid_0) &  (v17_monoid_0(k7_monoid_0) & m2_monoid_0(k7_monoid_0, k6_monoid_0)) ) ) ) ).
fof(dt_k8_monoid_0, axiom,  ( ~ (v2_struct_0(k8_monoid_0))  &  (v22_algstr_0(k8_monoid_0) &  (v4_vectsp_1(k8_monoid_0) & m1_monoid_0(k8_monoid_0, k7_monoid_0)) ) ) ).
fof(dt_k9_monoid_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k9_monoid_0(A)))  &  (v15_algstr_0(k9_monoid_0(A)) &  (v1_group_1(k9_monoid_0(A)) &  (v3_group_1(k9_monoid_0(A)) &  (v2_monoid_0(k9_monoid_0(A)) &  (v16_monoid_0(k9_monoid_0(A)) &  (v17_monoid_0(k9_monoid_0(A)) & l3_algstr_0(k9_monoid_0(A))) ) ) ) ) ) ) ) ) ).
fof(dt_k10_monoid_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k10_monoid_0(A)))  &  (v22_algstr_0(k10_monoid_0(A)) &  (v4_vectsp_1(k10_monoid_0(A)) & m1_monoid_0(k10_monoid_0(A), k9_monoid_0(A))) ) ) ) ) ).
fof(dt_k11_monoid_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k11_monoid_0(A)) &  (v1_funct_2(k11_monoid_0(A), k2_zfmisc_1(k3_finseq_2(A), k3_finseq_2(A)), k3_finseq_2(A)) & m1_subset_1(k11_monoid_0(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), k3_finseq_2(A)), k3_finseq_2(A))))) ) ) ) ).
fof(dt_k12_monoid_0, axiom,  (! [A] :  (v15_algstr_0(k12_monoid_0(A)) &  (v1_monoid_0(k12_monoid_0(A)) & l3_algstr_0(k12_monoid_0(A))) ) ) ).
fof(dt_k13_monoid_0, axiom,  (! [A] :  ( ~ (v2_struct_0(k13_monoid_0(A)))  &  (v22_algstr_0(k13_monoid_0(A)) &  (v4_vectsp_1(k13_monoid_0(A)) & m1_monoid_0(k13_monoid_0(A), k12_monoid_0(A))) ) ) ) ).
fof(dt_k14_monoid_0, axiom,  (! [A] :  (v1_funct_1(k14_monoid_0(A)) &  (v1_funct_2(k14_monoid_0(A), k2_zfmisc_1(k4_partfun1(A, A), k4_partfun1(A, A)), k4_partfun1(A, A)) & m1_subset_1(k14_monoid_0(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_partfun1(A, A), k4_partfun1(A, A)), k4_partfun1(A, A))))) ) ) ).
fof(dt_k15_monoid_0, axiom,  (! [A] :  (v15_algstr_0(k15_monoid_0(A)) & m2_monoid_0(k15_monoid_0(A), k12_monoid_0(A))) ) ).
fof(dt_k16_monoid_0, axiom,  (! [A] :  (v22_algstr_0(k16_monoid_0(A)) &  (v4_vectsp_1(k16_monoid_0(A)) & m1_monoid_0(k16_monoid_0(A), k15_monoid_0(A))) ) ) ).
fof(dt_k17_monoid_0, axiom,  (! [A] :  ( ~ (v2_struct_0(k17_monoid_0(A)))  &  (v15_algstr_0(k17_monoid_0(A)) & m5_monoid_0(k17_monoid_0(A), k12_monoid_0(A), k15_monoid_0(A))) ) ) ).
fof(fc1_monoid_1, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  ~ (v2_struct_0(k9_monoid_1(A, B))) ) ) ).
fof(fc2_monoid_1, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  => v1_monoid_0(k9_monoid_1(A, B))) ) ).
fof(fc3_monoid_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(C, u1_struct_0(k9_monoid_1(A, B)))) )  =>  ~ (v1_xboole_0(k10_xtuple_0(C))) ) ) ).
fof(cc1_monoid_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k13_monoid_1(A))) => v5_relat_1(B, k4_ordinal1)) ) ) ).
fof(fc4_monoid_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  ~ (v2_struct_0(k20_monoid_1(A))) ) ) ).
fof(d1_monoid_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (! [D] : k1_monoid_1(A, B, C, D)=k4_funct_6(A, k4_tarski(B, C), D)) ) ) ) ) ).
fof(t1_monoid_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] : k3_relat_1(B, k5_relat_1(A, C))=k3_relat_1(k6_relat_1(C, B), A)) ) ) ) ) ).
fof(d2_monoid_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [E] :  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(k9_funct_2(E, A), k9_funct_2(E, B)), k9_funct_2(E, C)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(E, A), k9_funct_2(E, B)), k9_funct_2(E, C))))) )  =>  (F=k8_monoid_1(A, B, C, D, E) <=>  (! [G] :  (m2_funct_2(G, E, A, k9_funct_2(E, A)) =>  (! [H] :  (m2_funct_2(H, E, B, k9_funct_2(E, B)) => k2_binop_1(k9_funct_2(E, A), k9_funct_2(E, B), k9_funct_2(E, C), F, G, H)=k3_monoid_1(E, A, B, C, D, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_monoid_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [E] :  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, E, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(E, A)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, E, B) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(E, B)))) )  =>  (! [H] :  (r2_tarski(H, E) => k1_monoid_1(k8_monoid_1(A, B, C, D, E), F, G, H)=k1_binop_1(D, k1_funct_1(F, H), k1_funct_1(G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_monoid_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v1_binop_1(C, B) => r2_funct_2(A, B, k3_monoid_1(A, B, B, B, C, D, E), k3_monoid_1(A, B, B, B, C, E, D))) ) ) ) ) ) ) ) ) ) ).
fof(t4_monoid_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v2_binop_1(C, B) => r2_funct_2(A, B, k3_monoid_1(A, B, B, B, C, k3_monoid_1(A, B, B, B, C, D, E), F), k3_monoid_1(A, B, B, B, C, D, k3_monoid_1(A, B, B, B, C, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_monoid_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(B, B), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (r3_binop_1(B, C, D) =>  (r2_funct_2(A, B, k6_monoid_1(A, B, B, B, D, C, E), E) & r2_funct_2(A, B, k7_monoid_1(A, B, B, B, D, E, C), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_monoid_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v3_binop_1(C, B) => r2_funct_2(A, B, k3_monoid_1(A, B, B, B, C, D, D), D)) ) ) ) ) ) ) ) ).
fof(t7_monoid_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (v1_binop_1(C, B) => v1_binop_1(k8_monoid_1(B, B, B, C, A), k9_funct_2(A, B))) ) ) ) ) ) ).
fof(t8_monoid_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (v2_binop_1(C, B) => v2_binop_1(k8_monoid_1(B, B, B, C, A), k9_funct_2(A, B))) ) ) ) ) ) ).
fof(t9_monoid_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(B, B), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (r3_binop_1(B, C, D) => r3_binop_1(k9_funct_2(A, B), k5_monoid_1(B, A, C), k8_monoid_1(B, B, B, D, A))) ) ) ) ) ) ) ) ).
fof(t10_monoid_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (v1_setwiseo(C, B) =>  (k3_binop_1(k9_funct_2(A, B), k8_monoid_1(B, B, B, C, A))=k5_monoid_1(B, A, k3_binop_1(B, C)) & v1_setwiseo(k8_monoid_1(B, B, B, C, A), k9_funct_2(A, B))) ) ) ) ) ) ) ).
fof(t11_monoid_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (v3_binop_1(C, B) => v3_binop_1(k8_monoid_1(B, B, B, C, A), k9_funct_2(A, B))) ) ) ) ) ) ).
fof(t12_monoid_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (v5_monoid_0(C, B) => v5_monoid_0(k8_monoid_1(B, B, B, C, A), k9_funct_2(A, B))) ) ) ) ) ) ).
fof(t13_monoid_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (v8_monoid_0(C, B) => v8_monoid_0(k8_monoid_1(B, B, B, C, A), k9_funct_2(A, B))) ) ) ) ) ) ).
fof(t14_monoid_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (v9_monoid_0(C, B) => v9_monoid_0(k8_monoid_1(B, B, B, C, A), k9_funct_2(A, B))) ) ) ) ) ) ).
fof(t15_monoid_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(B, B), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (r1_lattice2(B, C, D) => r1_lattice2(k9_funct_2(A, B), k8_monoid_1(B, B, B, C, A), k8_monoid_1(B, B, B, D, A))) ) ) ) ) ) ) ) ).
fof(t16_monoid_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  ( ~ (v1_xboole_0(F))  =>  (! [G] :  ( ~ (v1_xboole_0(G))  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k2_zfmisc_1(B, C), D) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), D)))) )  =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, k2_zfmisc_1(E, F), G) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(E, F), G)))) )  =>  (r1_relset_1(k2_zfmisc_1(B, C), D, H, I) => r1_relset_1(k2_zfmisc_1(k9_funct_2(A, B), k9_funct_2(A, C)), k9_funct_2(A, D), k8_monoid_1(B, C, D, H, A), k8_monoid_1(E, F, G, I, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_monoid_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( (v1_group_1(A) => k9_monoid_1(A, B)=g4_algstr_0(k9_funct_2(B, u1_struct_0(A)), k8_monoid_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u2_algstr_0(A), B), k5_monoid_1(u1_struct_0(A), B, k3_binop_1(u1_struct_0(A), u2_algstr_0(A)))))  &  ( ~ (v1_group_1(A))  => k9_monoid_1(A, B)=g3_algstr_0(k9_funct_2(B, u1_struct_0(A)), k8_monoid_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u2_algstr_0(A), B))) ) ) ) ) ).
fof(t17_monoid_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  =>  (u1_struct_0(k9_monoid_1(B, A))=k9_funct_2(A, u1_struct_0(B)) & r1_funct_2(k2_zfmisc_1(u1_struct_0(k9_monoid_1(B, A)), u1_struct_0(k9_monoid_1(B, A))), u1_struct_0(k9_monoid_1(B, A)), k2_zfmisc_1(k9_funct_2(A, u1_struct_0(B)), k9_funct_2(A, u1_struct_0(B))), k9_funct_2(A, u1_struct_0(B)), u2_algstr_0(k9_monoid_1(B, A)), k8_monoid_1(u1_struct_0(B), u1_struct_0(B), u1_struct_0(B), u2_algstr_0(B), A))) ) ) ) ).
fof(t18_monoid_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  & l3_algstr_0(C))  =>  (m1_subset_1(A, u1_struct_0(k9_monoid_1(C, B))) <=>  (v1_funct_1(A) &  (v1_funct_2(A, B, u1_struct_0(C)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(C))))) ) ) ) ) ) ) ).
fof(t19_monoid_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_monoid_1(B, A))) =>  (k9_xtuple_0(C)=A & r1_tarski(k10_xtuple_0(C), u1_struct_0(B))) ) ) ) ) ) ).
fof(t20_monoid_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_monoid_1(B, A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_monoid_1(B, A))) =>  ( (! [E] :  (r2_hidden(E, A) => k1_funct_1(C, E)=k1_funct_1(D, E)) )  => C=D) ) ) ) ) ) ) ) ).
fof(t21_monoid_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_monoid_1(B, A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_monoid_1(B, A))) =>  (! [E] :  (m1_subset_1(E, A) => k10_monoid_1(B, A, k6_algstr_0(k9_monoid_1(B, A), C, D), E)=k6_algstr_0(B, k10_monoid_1(B, A, C, E), k10_monoid_1(B, A, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t22_monoid_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_group_1(B) & l3_algstr_0(B)) )  => k5_struct_0(k11_monoid_1(B, A))=k5_monoid_1(u1_struct_0(B), A, k3_binop_1(u1_struct_0(B), u2_algstr_0(B)))) ) ) ).
fof(t23_monoid_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( (v5_group_1(A) => v5_group_1(k9_monoid_1(A, B)))  &  ( (v3_group_1(A) => v3_group_1(k9_monoid_1(A, B)))  &  ( (v10_monoid_0(A) => v10_monoid_0(k9_monoid_1(A, B)))  &  ( (v13_monoid_0(A) => v13_monoid_0(k9_monoid_1(A, B)))  &  ( (v16_monoid_0(A) => v16_monoid_0(k9_monoid_1(A, B)))  &  (v17_monoid_0(A) => v17_monoid_0(k9_monoid_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(t24_monoid_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_algstr_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & m2_monoid_0(C, B))  => m2_monoid_0(k9_monoid_1(C, A), k9_monoid_1(B, A))) ) ) ) ) ).
fof(t25_monoid_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_group_1(B) & l3_algstr_0(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & m2_monoid_0(C, B))  =>  (r2_tarski(k3_binop_1(u1_struct_0(B), u2_algstr_0(B)), u1_struct_0(C)) => m3_monoid_0(k9_monoid_1(C, A), k11_monoid_1(B, A))) ) ) ) ) ) ).
fof(d4_monoid_1, axiom,  (! [A] : k13_monoid_1(A)=k12_monoid_1(k5_monoid_0, A)) ).
fof(t26_monoid_1, axiom,  (! [A] :  (u1_struct_0(k13_monoid_1(A))=k9_funct_2(A, k4_ordinal1) &  (r1_funct_2(k2_zfmisc_1(u1_struct_0(k13_monoid_1(A)), u1_struct_0(k13_monoid_1(A))), u1_struct_0(k13_monoid_1(A)), k2_zfmisc_1(k9_funct_2(A, k4_ordinal1), k9_funct_2(A, k4_ordinal1)), k9_funct_2(A, k4_ordinal1), u2_algstr_0(k13_monoid_1(A)), k8_monoid_1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k23_binop_2, A)) & k5_struct_0(k13_monoid_1(A))=k5_monoid_1(k4_ordinal1, A, k5_numbers)) ) ) ).
fof(t27_monoid_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, u1_struct_0(k13_monoid_1(B))) <=>  (v1_funct_1(A) &  (v1_funct_2(A, B, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(B, k4_ordinal1)))) ) ) ) ) ).
fof(t28_monoid_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k13_monoid_1(A))) =>  (k9_xtuple_0(B)=A & r1_tarski(k10_xtuple_0(B), k4_ordinal1)) ) ) ) ).
fof(t29_monoid_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k13_monoid_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k13_monoid_1(A))) =>  (! [D] :  (m1_subset_1(D, A) => k1_recdef_1(k6_algstr_0(k13_monoid_1(A), B, C), D)=k1_nat_1(k1_recdef_1(B, D), k1_recdef_1(C, D))) ) ) ) ) ) ) ) ).
fof(t30_monoid_1, axiom,  (! [A] :  (! [B] : m1_subset_1(k5_funct_3(B, A), u1_struct_0(k13_monoid_1(A)))) ) ).
fof(d5_monoid_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) => k16_monoid_1(A, B)=k14_monoid_1(k6_domain_1(A, B), A)) ) ) ) ).
fof(t31_monoid_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (k1_recdef_1(k16_monoid_1(A, B), B)=1 &  ( ~ (C=B)  => k1_recdef_1(k16_monoid_1(A, B), C)=k5_numbers) ) ) ) ) ) ) ) ).
fof(t32_monoid_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k13_monoid_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k13_monoid_1(A))) =>  ( (! [D] :  (m1_subset_1(D, A) => k1_recdef_1(B, D)=k1_recdef_1(C, D)) )  => B=C) ) ) ) ) ) ) ).
fof(d6_monoid_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v22_algstr_0(B) & m3_monoid_0(B, k13_monoid_1(A))) )  =>  (B=k17_monoid_1(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(k13_monoid_1(A))) =>  (r2_tarski(C, u1_struct_0(B)) <=> v1_finset_1(k8_relat_1(C, k6_subset_1(k4_ordinal1, k6_domain_1(k4_ordinal1, k5_numbers))))) ) ) ) ) ) ) ).
fof(t33_monoid_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) => m1_subset_1(k16_monoid_1(A, B), u1_struct_0(k17_monoid_1(A)))) ) ) ) ).
fof(t34_monoid_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, B) => k1_relset_1(k4_ordinal1, k6_relat_1(k1_tarski(A), k7_finseq_1(C, k9_finseq_1(A))))=k4_subset_1(k4_ordinal1, k1_relset_1(k4_ordinal1, k6_relset_1(k4_ordinal1, B, k1_tarski(A), C)), k6_domain_1(k4_ordinal1, k1_nat_1(k3_finseq_1(C), 1)))) ) ) ) ) ).
fof(t35_monoid_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m2_finseq_1(D, C) =>  ( ~ (A=B)  => k1_relset_1(k4_ordinal1, k6_relat_1(k1_tarski(A), k7_finseq_1(D, k9_finseq_1(B))))=k1_relset_1(k4_ordinal1, k6_relset_1(k4_ordinal1, C, k1_tarski(A), D))) ) ) ) ) ) ) ).
fof(d7_monoid_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k13_monoid_1(A))) =>  (C=k18_monoid_1(A, B) <=>  (! [D] :  (m1_subset_1(D, A) => k1_recdef_1(C, D)=k4_card_1(k1_relset_1(k4_ordinal1, k6_relset_1(k4_ordinal1, A, k6_domain_1(A, D), B)))) ) ) ) ) ) ) ) ) ).
fof(t36_monoid_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) => k1_recdef_1(k18_monoid_1(A, k6_finseq_1(A)), B)=k5_numbers) ) ) ) ).
fof(t37_monoid_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k18_monoid_1(A, k6_finseq_1(A))=k15_monoid_1(A, k5_numbers)) ) ).
fof(t38_monoid_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) => k18_monoid_1(A, k12_finseq_1(A, B))=k16_monoid_1(A, B)) ) ) ) ).
fof(t39_monoid_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) => k18_monoid_1(A, k1_monoid_0(A, C, k12_finseq_1(A, B)))=k6_algstr_0(k13_monoid_1(A), k18_monoid_1(A, C), k16_monoid_1(A, B))) ) ) ) ) ) ).
fof(t40_monoid_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) => k18_monoid_1(A, k1_monoid_0(A, B, C))=k6_algstr_0(k13_monoid_1(A), k18_monoid_1(A, B), k18_monoid_1(A, C))) ) ) ) ) ) ).
fof(t41_monoid_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (k1_recdef_1(k18_monoid_1(B, k4_monoid_1(B, A, C)), C)=A &  (! [D] :  (m1_subset_1(D, B) =>  ( ~ (D=C)  => k1_recdef_1(k18_monoid_1(B, k4_monoid_1(B, A, C)), D)=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t42_monoid_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) => m1_subset_1(k18_monoid_1(A, B), u1_struct_0(k17_monoid_1(A)))) ) ) ) ).
fof(t43_monoid_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  ~ ( (m1_subset_1(A, u1_struct_0(k17_monoid_1(B))) &  (! [C] :  (m2_finseq_1(C, B) =>  ~ (A=k18_monoid_1(B, C)) ) ) ) ) ) ) ) ).
fof(d8_monoid_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(k1_zfmisc_1(A), k1_zfmisc_1(B)), k1_zfmisc_1(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A), k1_zfmisc_1(B)), k1_zfmisc_1(C))))) )  =>  (E=k19_monoid_1(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, k2_zfmisc_1(k1_zfmisc_1(A), k1_zfmisc_1(B))) => k3_funct_2(k2_zfmisc_1(k1_zfmisc_1(A), k1_zfmisc_1(B)), k1_zfmisc_1(C), E, F)=k7_relset_1(k2_zfmisc_1(A, B), C, D, k2_zfmisc_1(k2_domain_1(k1_zfmisc_1(A), k1_zfmisc_1(B), F), k3_domain_1(k1_zfmisc_1(A), k1_zfmisc_1(B), F)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_monoid_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(B)) => k2_binop_1(k1_zfmisc_1(A), k1_zfmisc_1(B), k1_zfmisc_1(C), k19_monoid_1(A, B, C, D), E, F)=k7_relset_1(k2_zfmisc_1(A, B), C, D, k2_zfmisc_1(E, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_monoid_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(B)) =>  (! [G] :  (! [H] :  ( (r2_tarski(G, E) & r2_tarski(H, F))  => r2_tarski(k1_binop_1(D, G, H), k2_binop_1(k1_zfmisc_1(A), k1_zfmisc_1(B), k1_zfmisc_1(C), k19_monoid_1(A, B, C, D), E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_monoid_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(C, C), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, C), C)))) )  =>  (v1_binop_1(D, C) => k7_relset_1(k2_zfmisc_1(C, C), C, D, k2_zfmisc_1(A, B))=k7_relset_1(k2_zfmisc_1(C, C), C, D, k2_zfmisc_1(B, A))) ) ) ) ) ) ) ).
fof(t48_monoid_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(D, D), D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(D, D), D)))) )  =>  (v2_binop_1(E, D) => k7_relset_1(k2_zfmisc_1(D, D), D, E, k2_zfmisc_1(k7_relset_1(k2_zfmisc_1(D, D), D, E, k2_zfmisc_1(A, B)), C))=k7_relset_1(k2_zfmisc_1(D, D), D, E, k2_zfmisc_1(A, k7_relset_1(k2_zfmisc_1(D, D), D, E, k2_zfmisc_1(B, C))))) ) ) ) ) ) ) ) ).
fof(t49_monoid_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v1_binop_1(B, A) => v1_binop_1(k19_monoid_1(A, A, A, B), k1_zfmisc_1(A))) ) ) ) ) ).
fof(t50_monoid_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v2_binop_1(B, A) => v2_binop_1(k19_monoid_1(A, A, A, B), k1_zfmisc_1(A))) ) ) ) ) ).
fof(t51_monoid_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (! [D] :  (m1_subset_1(D, B) =>  (r3_binop_1(B, D, C) =>  (k7_relset_1(k2_zfmisc_1(B, B), B, C, k2_zfmisc_1(k6_domain_1(B, D), A))=k3_xboole_0(B, A) & k7_relset_1(k2_zfmisc_1(B, B), B, C, k2_zfmisc_1(A, k6_domain_1(B, D)))=k3_xboole_0(B, A)) ) ) ) ) ) ) ) ) ).
fof(t52_monoid_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (r3_binop_1(A, C, B) =>  (r3_binop_1(k1_zfmisc_1(A), k6_domain_1(A, C), k19_monoid_1(A, A, A, B)) &  (v1_setwiseo(k19_monoid_1(A, A, A, B), k1_zfmisc_1(A)) & k3_binop_1(k1_zfmisc_1(A), k19_monoid_1(A, A, A, B))=k6_domain_1(A, C)) ) ) ) ) ) ) ) ) ).
fof(t53_monoid_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v1_setwiseo(B, A) =>  (v1_setwiseo(k19_monoid_1(A, A, A, B), k1_zfmisc_1(A)) &  (r3_binop_1(k1_zfmisc_1(A), k6_domain_1(A, k3_binop_1(A, B)), k19_monoid_1(A, A, A, B)) & k3_binop_1(k1_zfmisc_1(A), k19_monoid_1(A, A, A, B))=k6_domain_1(A, k3_binop_1(A, B))) ) ) ) ) ) ) ).
fof(t54_monoid_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (v9_monoid_0(B, A) => v9_monoid_0(k19_monoid_1(A, A, A, B), k1_zfmisc_1(A))) ) ) ) ) ).
fof(d9_monoid_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  ( (v1_group_1(A) => k20_monoid_1(A)=g4_algstr_0(k1_zfmisc_1(u1_struct_0(A)), k19_monoid_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u2_algstr_0(A)), k6_domain_1(u1_struct_0(A), k3_binop_1(u1_struct_0(A), u2_algstr_0(A)))))  &  ( ~ (v1_group_1(A))  => k20_monoid_1(A)=g3_algstr_0(k1_zfmisc_1(u1_struct_0(A)), k19_monoid_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u2_algstr_0(A)))) ) ) ) ).
fof(t55_monoid_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (u1_struct_0(k20_monoid_1(A))=k1_zfmisc_1(u1_struct_0(A)) & r1_funct_2(k2_zfmisc_1(u1_struct_0(k20_monoid_1(A)), u1_struct_0(k20_monoid_1(A))), u1_struct_0(k20_monoid_1(A)), k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)), k1_zfmisc_1(u1_struct_0(A))), k1_zfmisc_1(u1_struct_0(A)), u2_algstr_0(k20_monoid_1(A)), k19_monoid_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u2_algstr_0(A)))) ) ) ).
fof(t56_monoid_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  => k5_struct_0(k21_monoid_1(A))=k6_domain_1(u1_struct_0(A), k3_binop_1(u1_struct_0(A), u2_algstr_0(A)))) ) ).
fof(t57_monoid_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  ( (v5_group_1(A) => v5_group_1(k20_monoid_1(A)))  &  ( (v3_group_1(A) => v3_group_1(k20_monoid_1(A)))  &  (v17_monoid_0(A) => v17_monoid_0(k20_monoid_1(A))) ) ) ) ) ).
fof(s1_monoid_1, axiom,  ( (! [A] :  ~ ( (r2_hidden(A, f1_s1_monoid_1) &  (! [B] :  (m1_subset_1(B, f2_s1_monoid_1) =>  ~ (p1_s1_monoid_1(A, B)) ) ) ) ) )  =>  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, f1_s1_monoid_1, f2_s1_monoid_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(f1_s1_monoid_1, f2_s1_monoid_1)))) )  &  (! [B] :  (r2_hidden(B, f1_s1_monoid_1) => p1_s1_monoid_1(B, k1_funct_1(A, B))) ) ) ) ) ).
fof(dt_k2_monoid_1, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, C), k9_funct_2(A, D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), k9_funct_2(A, D))))) )  &  (m1_subset_1(F, B) &  (m1_subset_1(G, C) & m1_subset_1(H, A)) ) ) ) ) ) )  => m1_subset_1(k2_monoid_1(A, B, C, D, E, F, G, H), D)) ) ).
fof(redefinition_k2_monoid_1, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, C), k9_funct_2(A, D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), k9_funct_2(A, D))))) )  &  (m1_subset_1(F, B) &  (m1_subset_1(G, C) & m1_subset_1(H, A)) ) ) ) ) ) )  => k2_monoid_1(A, B, C, D, E, F, G, H)=k1_monoid_1(E, F, G, H)) ) ).
fof(dt_k3_monoid_1, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, C), D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), D)))) )  &  ( (v1_funct_1(F) &  (v1_funct_2(F, A, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_funct_1(G) &  (v1_funct_2(G, A, C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, C)))) ) ) ) ) ) )  => m2_funct_2(k3_monoid_1(A, B, C, D, E, F, G), A, D, k9_funct_2(A, D))) ) ).
fof(redefinition_k3_monoid_1, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, C), D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), D)))) )  &  ( (v1_funct_1(F) &  (v1_funct_2(F, A, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_funct_1(G) &  (v1_funct_2(G, A, C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, C)))) ) ) ) ) ) )  => k3_monoid_1(A, B, C, D, E, F, G)=k3_funcop_1(E, F, G)) ) ).
fof(dt_k4_monoid_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k4_ordinal1) & m1_subset_1(C, A)) )  => m2_finseq_1(k4_monoid_1(A, B, C), A)) ) ).
fof(redefinition_k4_monoid_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k4_ordinal1) & m1_subset_1(C, A)) )  => k4_monoid_1(A, B, C)=k2_finseq_2(B, C)) ) ).
fof(dt_k5_monoid_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(C, A))  => m2_funct_2(k5_monoid_1(A, B, C), B, A, k9_funct_2(B, A))) ) ).
fof(redefinition_k5_monoid_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(C, A))  => k5_monoid_1(A, B, C)=k2_funcop_1(B, C)) ) ).
fof(dt_k6_monoid_1, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, C), D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), D)))) )  &  (m1_subset_1(F, B) &  (v1_funct_1(G) &  (v1_funct_2(G, A, C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, C)))) ) ) ) ) ) )  => m2_funct_2(k6_monoid_1(A, B, C, D, E, F, G), A, D, k9_funct_2(A, D))) ) ).
fof(redefinition_k6_monoid_1, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, C), D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), D)))) )  &  (m1_subset_1(F, B) &  (v1_funct_1(G) &  (v1_funct_2(G, A, C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, C)))) ) ) ) ) ) )  => k6_monoid_1(A, B, C, D, E, F, G)=k5_funcop_1(E, F, G)) ) ).
fof(dt_k7_monoid_1, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, C), D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), D)))) )  &  ( (v1_funct_1(F) &  (v1_funct_2(F, A, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  & m1_subset_1(G, C)) ) ) ) )  => m2_funct_2(k7_monoid_1(A, B, C, D, E, F, G), A, D, k9_funct_2(A, D))) ) ).
fof(redefinition_k7_monoid_1, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, C), D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), D)))) )  &  ( (v1_funct_1(F) &  (v1_funct_2(F, A, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  & m1_subset_1(G, C)) ) ) ) )  => k7_monoid_1(A, B, C, D, E, F, G)=k4_funcop_1(E, F, G)) ) ).
fof(dt_f2_s1_monoid_1, axiom,  ~ (v1_xboole_0(f2_s1_monoid_1)) ).
fof(dt_k8_monoid_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) ) ) ) )  =>  (v1_funct_1(k8_monoid_1(A, B, C, D, E)) &  (v1_funct_2(k8_monoid_1(A, B, C, D, E), k2_zfmisc_1(k9_funct_2(E, A), k9_funct_2(E, B)), k9_funct_2(E, C)) & m1_subset_1(k8_monoid_1(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(E, A), k9_funct_2(E, B)), k9_funct_2(E, C))))) ) ) ) ).
fof(dt_k9_monoid_1, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  => l3_algstr_0(k9_monoid_1(A, B))) ) ).
fof(dt_k10_monoid_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, u1_struct_0(k9_monoid_1(A, B))) & m1_subset_1(D, B)) ) )  => m1_subset_1(k10_monoid_1(A, B, C, D), u1_struct_0(A))) ) ).
fof(redefinition_k10_monoid_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, u1_struct_0(k9_monoid_1(A, B))) & m1_subset_1(D, B)) ) )  => k10_monoid_1(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(dt_k11_monoid_1, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  =>  ( ~ (v2_struct_0(k11_monoid_1(A, B)))  &  (v22_algstr_0(k11_monoid_1(A, B)) &  (v4_vectsp_1(k11_monoid_1(A, B)) &  (v1_monoid_0(k11_monoid_1(A, B)) & l4_algstr_0(k11_monoid_1(A, B))) ) ) ) ) ) ).
fof(redefinition_k11_monoid_1, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  => k11_monoid_1(A, B)=k9_monoid_1(A, B)) ) ).
fof(dt_k12_monoid_1, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v16_monoid_0(A) &  (v17_monoid_0(A) & l3_algstr_0(A)) ) ) ) ) )  =>  ( ~ (v2_struct_0(k12_monoid_1(A, B)))  &  (v22_algstr_0(k12_monoid_1(A, B)) &  (v4_vectsp_1(k12_monoid_1(A, B)) &  (v3_group_1(k12_monoid_1(A, B)) &  (v5_group_1(k12_monoid_1(A, B)) &  (v1_monoid_0(k12_monoid_1(A, B)) &  (v16_monoid_0(k12_monoid_1(A, B)) &  (v17_monoid_0(k12_monoid_1(A, B)) & l4_algstr_0(k12_monoid_1(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(redefinition_k12_monoid_1, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v16_monoid_0(A) &  (v17_monoid_0(A) & l3_algstr_0(A)) ) ) ) ) )  => k12_monoid_1(A, B)=k9_monoid_1(A, B)) ) ).
fof(dt_k13_monoid_1, axiom,  (! [A] :  ( ~ (v2_struct_0(k13_monoid_1(A)))  &  (v22_algstr_0(k13_monoid_1(A)) &  (v4_vectsp_1(k13_monoid_1(A)) &  (v3_group_1(k13_monoid_1(A)) &  (v5_group_1(k13_monoid_1(A)) &  (v1_monoid_0(k13_monoid_1(A)) &  (v16_monoid_0(k13_monoid_1(A)) &  (v17_monoid_0(k13_monoid_1(A)) & l4_algstr_0(k13_monoid_1(A))) ) ) ) ) ) ) ) ) ).
fof(dt_k14_monoid_1, axiom,  (! [A, B] : m1_subset_1(k14_monoid_1(A, B), u1_struct_0(k13_monoid_1(B)))) ).
fof(redefinition_k14_monoid_1, axiom,  (! [A, B] : k14_monoid_1(A, B)=k4_funct_3(A, B)) ).
fof(dt_k15_monoid_1, axiom,  (! [A, B] :  (m1_subset_1(B, k4_ordinal1) => m1_subset_1(k15_monoid_1(A, B), u1_struct_0(k13_monoid_1(A)))) ) ).
fof(redefinition_k15_monoid_1, axiom,  (! [A, B] :  (m1_subset_1(B, k4_ordinal1) => k15_monoid_1(A, B)=k2_funcop_1(A, B)) ) ).
fof(dt_k16_monoid_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => m1_subset_1(k16_monoid_1(A, B), u1_struct_0(k13_monoid_1(A)))) ) ).
fof(dt_k17_monoid_1, axiom,  (! [A] :  ( ~ (v2_struct_0(k17_monoid_1(A)))  &  (v22_algstr_0(k17_monoid_1(A)) & m3_monoid_0(k17_monoid_1(A), k13_monoid_1(A))) ) ) ).
fof(dt_k18_monoid_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(B, A))  => m1_subset_1(k18_monoid_1(A, B), u1_struct_0(k13_monoid_1(A)))) ) ).
fof(dt_k19_monoid_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) ) ) ) )  =>  (v1_funct_1(k19_monoid_1(A, B, C, D)) &  (v1_funct_2(k19_monoid_1(A, B, C, D), k2_zfmisc_1(k1_zfmisc_1(A), k1_zfmisc_1(B)), k1_zfmisc_1(C)) & m1_subset_1(k19_monoid_1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A), k1_zfmisc_1(B)), k1_zfmisc_1(C))))) ) ) ) ).
fof(dt_k20_monoid_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  => l3_algstr_0(k20_monoid_1(A))) ) ).
fof(dt_k21_monoid_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  =>  ( ~ (v2_struct_0(k21_monoid_1(A)))  &  (v22_algstr_0(k21_monoid_1(A)) &  (v4_vectsp_1(k21_monoid_1(A)) & l4_algstr_0(k21_monoid_1(A))) ) ) ) ) ).
fof(redefinition_k21_monoid_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  => k21_monoid_1(A)=k20_monoid_1(A)) ) ).
fof(t46_monoid_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(B)) => k2_binop_1(k1_zfmisc_1(A), k1_zfmisc_1(B), k1_zfmisc_1(C), k19_monoid_1(A, B, C, D), E, F)=a_6_0_monoid_1(A, B, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_6_0_monoid_1, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, C), D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, C), D)))) )  &  (m1_subset_1(F, k1_zfmisc_1(B)) & m1_subset_1(G, k1_zfmisc_1(C))) ) ) ) )  =>  (r2_hidden(A, a_6_0_monoid_1(B, C, D, E, F, G)) <=>  (? [H, I] :  ( (m1_subset_1(H, B) & m1_subset_1(I, C))  &  (A=k2_binop_1(B, C, D, E, H, I) &  (r2_tarski(H, F) & r2_tarski(I, G)) ) ) ) ) ) ) ).
fof(t1_morph_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (C=k1_xboole_0 =>  (k6_rusub_4(A, B, C)=C &  (k6_rusub_4(A, C, B)=C & k1_morph_01(A, B, C)=u1_struct_0(A)) ) ) ) ) ) ) ) ) ).
fof(t2_morph_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (C=k1_xboole_0 =>  (B=k1_xboole_0 | k1_morph_01(A, C, B)=C) ) ) ) ) ) ) ) ).
fof(t3_morph_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (C=u1_struct_0(A) =>  (B=k1_xboole_0 |  (k6_rusub_4(A, B, C)=C & k6_rusub_4(A, C, B)=C) ) ) ) ) ) ) ) ) ).
fof(t4_morph_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (C=u1_struct_0(A) => k1_morph_01(A, C, B)=C) ) ) ) ) ) ) ).
fof(t9_morph_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (k6_rusub_4(A, k6_subset_1(u1_struct_0(A), B), C)=k6_subset_1(u1_struct_0(A), k1_morph_01(A, B, C)) & k1_morph_01(A, k6_subset_1(u1_struct_0(A), B), C)=k6_subset_1(u1_struct_0(A), k6_rusub_4(A, B, C))) ) ) ) ) ) ) ).
fof(t10_morph_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) & l2_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => k6_rusub_4(A, k6_rusub_4(A, B, C), D)=k6_rusub_4(A, B, k6_rusub_4(A, C, D))) ) ) ) ) ) ) ) ).
fof(t11_morph_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  => k2_morph_01(A, k2_morph_01(A, B, C), D)=k2_morph_01(A, B, k2_morph_01(A, C, D))) ) ) ) ) ) ) ) ).
fof(t16_morph_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(C, D) => r1_tarski(k6_rusub_4(A, B, C), k6_rusub_4(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t17_morph_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  =>  (k2_morph_01(A, k5_rusub_4(A, C, B), D)=k2_morph_01(A, C, k5_rusub_4(A, D, B)) & k2_morph_01(A, k5_rusub_4(A, C, B), D)=k5_rusub_4(A, k2_morph_01(A, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t22_morph_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  =>  (r1_tarski(B, C) => r1_tarski(k1_morph_01(A, B, D), k1_morph_01(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t23_morph_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  =>  (r1_tarski(B, C) => r1_tarski(k1_morph_01(A, D, C), k1_morph_01(A, D, B))) ) ) ) ) ) ) ) ) ).
fof(t24_morph_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  =>  (k1_morph_01(A, k5_rusub_4(A, C, B), D)=k1_morph_01(A, C, k5_rusub_4(A, D, B)) & k1_morph_01(A, k5_rusub_4(A, C, B), D)=k5_rusub_4(A, k1_morph_01(A, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t25_morph_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  => k1_morph_01(A, k1_morph_01(A, B, C), D)=k1_morph_01(A, B, k2_morph_01(A, C, D))) ) ) ) ) ) ) ) ).
fof(d2_morph_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k9_setfam_1(u1_struct_0(A)), k9_setfam_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(u1_struct_0(A)), k9_setfam_1(u1_struct_0(A)))))) )  =>  (C=k3_morph_01(A, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u1_struct_0(A)), C, D)=k2_morph_01(A, D, B)) ) ) ) ) ) ) ) ) ).
fof(d3_morph_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k9_setfam_1(u1_struct_0(A)), k9_setfam_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(u1_struct_0(A)), k9_setfam_1(u1_struct_0(A)))))) )  =>  (C=k4_morph_01(A, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u1_struct_0(A)), C, D)=k1_morph_01(A, D, B)) ) ) ) ) ) ) ) ) ).
fof(t27_morph_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  =>  (r1_tarski(B, C) => r1_tarski(k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k3_morph_01(A, D), B), k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k3_morph_01(A, D), C))) ) ) ) ) ) ) ) ) ).
fof(t28_morph_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  => k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k3_morph_01(A, D), k5_rusub_4(A, C, B))=k5_rusub_4(A, k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k3_morph_01(A, D), C), B)) ) ) ) ) ) ) ) ).
fof(t30_morph_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  =>  (r1_tarski(B, C) => r1_tarski(k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k4_morph_01(A, D), B), k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k4_morph_01(A, D), C))) ) ) ) ) ) ) ) ) ).
fof(t31_morph_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  => k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k4_morph_01(A, D), k5_rusub_4(A, C, B))=k5_rusub_4(A, k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k4_morph_01(A, D), C), B)) ) ) ) ) ) ) ) ).
fof(t32_morph_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k3_morph_01(A, C), k6_subset_1(u1_struct_0(A), B))=k6_subset_1(u1_struct_0(A), k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k4_morph_01(A, C), B)) & k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k4_morph_01(A, C), k6_subset_1(u1_struct_0(A), B))=k6_subset_1(u1_struct_0(A), k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k3_morph_01(A, C), B))) ) ) ) ) ) ) ).
fof(t33_morph_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  =>  (k3_funct_2(k9_setfam_1(u1_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k3_morph_01(A, D), k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k3_morph_01(A, C), B))=k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k3_morph_01(A, k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k3_morph_01(A, D), C)), B) & k3_funct_2(k9_setfam_1(u1_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k4_morph_01(A, D), k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k4_morph_01(A, C), B))=k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k4_morph_01(A, k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k3_morph_01(A, D), C)), B)) ) ) ) ) ) ) ) ) ).
fof(dt_k1_morph_01, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k1_morph_01(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k2_morph_01, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) & l2_algstr_0(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k2_morph_01(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(commutativity_k2_morph_01, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) & l2_algstr_0(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => k2_morph_01(A, B, C)=k2_morph_01(A, C, B)) ) ).
fof(redefinition_k2_morph_01, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) & l2_algstr_0(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => k2_morph_01(A, B, C)=k6_rusub_4(A, B, C)) ) ).
fof(dt_k3_morph_01, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_funct_1(k3_morph_01(A, B)) &  (v1_funct_2(k3_morph_01(A, B), k9_setfam_1(u1_struct_0(A)), k9_setfam_1(u1_struct_0(A))) & m1_subset_1(k3_morph_01(A, B), k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(u1_struct_0(A)), k9_setfam_1(u1_struct_0(A)))))) ) ) ) ).
fof(dt_k4_morph_01, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_funct_1(k4_morph_01(A, B)) &  (v1_funct_2(k4_morph_01(A, B), k9_setfam_1(u1_struct_0(A)), k9_setfam_1(u1_struct_0(A))) & m1_subset_1(k4_morph_01(A, B), k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(u1_struct_0(A)), k9_setfam_1(u1_struct_0(A)))))) ) ) ) ).
fof(d1_morph_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k1_morph_01(A, B, C)=a_3_0_morph_01(A, B, C)) ) ) ) ) ) ).
fof(t5_morph_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k6_rusub_4(A, B, C)=k3_tarski(a_3_1_morph_01(A, B, C))) ) ) ) ) ) ).
fof(t6_morph_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  => k1_morph_01(A, B, C)=k1_setfam_1(a_3_2_morph_01(A, B, C))) ) ) ) ) ) ).
fof(t7_morph_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  => k6_rusub_4(A, B, C)=a_3_3_morph_01(A, B, C)) ) ) ) ) ) ).
fof(t8_morph_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  => k1_morph_01(A, B, C)=a_3_4_morph_01(A, B, C)) ) ) ) ) ) ).
fof(t12_morph_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  => k2_morph_01(A, k5_setfam_1(u1_struct_0(A), B), C)=k3_tarski(a_3_5_morph_01(A, B, C))) ) ) ) ) ) ).
fof(t13_morph_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  => k2_morph_01(A, C, k5_setfam_1(u1_struct_0(A), B))=k3_tarski(a_3_6_morph_01(A, B, C))) ) ) ) ) ) ).
fof(t14_morph_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  => r1_tarski(k2_morph_01(A, k6_setfam_1(u1_struct_0(A), B), C), k1_setfam_1(a_3_5_morph_01(A, B, C)))) ) ) ) ) ) ).
fof(t15_morph_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  => r1_tarski(k2_morph_01(A, C, k6_setfam_1(u1_struct_0(A), B)), k1_setfam_1(a_3_6_morph_01(A, B, C)))) ) ) ) ) ) ).
fof(t18_morph_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  => k1_morph_01(A, k6_setfam_1(u1_struct_0(A), B), C)=k1_setfam_1(a_3_7_morph_01(A, B, C))) ) ) ) ) ) ).
fof(t19_morph_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  => r1_tarski(k1_setfam_1(a_3_8_morph_01(A, B, C)), k1_morph_01(A, C, k6_setfam_1(u1_struct_0(A), B)))) ) ) ) ) ) ).
fof(t20_morph_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  => r1_tarski(k3_tarski(a_3_7_morph_01(A, B, C)), k1_morph_01(A, k5_setfam_1(u1_struct_0(A), B), C))) ) ) ) ) ) ).
fof(t21_morph_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  ( ~ (B=k1_xboole_0)  => k1_morph_01(A, C, k5_setfam_1(u1_struct_0(A), B))=k1_setfam_1(a_3_8_morph_01(A, B, C))) ) ) ) ) ) ) ).
fof(t26_morph_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  => k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k3_morph_01(A, C), k5_setfam_1(u1_struct_0(A), B))=k3_tarski(a_3_9_morph_01(A, B, C))) ) ) ) ) ) ).
fof(t29_morph_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  => k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k9_setfam_1(u1_struct_0(A)), k4_morph_01(A, C), k6_setfam_1(u1_struct_0(A), B))=k1_setfam_1(a_3_10_morph_01(A, B, C))) ) ) ) ) ) ).
fof(fraenkel_a_3_0_morph_01, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (r2_hidden(A, a_3_0_morph_01(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E &  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (r2_tarski(F, D) => r2_tarski(k5_algstr_0(B, E, F), C)) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_morph_01, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (r2_hidden(A, a_3_1_morph_01(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k5_rusub_4(B, C, E) & r2_tarski(E, D)) ) ) ) ) ) ).
fof(fraenkel_a_3_2_morph_01, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  &  ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) )  =>  (r2_hidden(A, a_3_2_morph_01(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k5_rusub_4(B, C, E) & r2_tarski(E, D)) ) ) ) ) ) ).
fof(fraenkel_a_3_3_morph_01, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  &  ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) )  =>  (r2_hidden(A, a_3_3_morph_01(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E &  ~ (k9_subset_1(u1_struct_0(B), k5_rusub_4(B, k6_mathmorp(k4_xcmplx_0(1), B, D), E), C)=k1_xboole_0) ) ) ) ) ) ) ).
fof(fraenkel_a_3_4_morph_01, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  &  ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) )  =>  (r2_hidden(A, a_3_4_morph_01(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E & r1_tarski(k5_rusub_4(B, k6_mathmorp(k4_xcmplx_0(1), B, D), E), C)) ) ) ) ) ) ).
fof(fraenkel_a_3_5_morph_01, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) &  ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) )  =>  (r2_hidden(A, a_3_5_morph_01(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) &  (A=k2_morph_01(B, E, D) & r2_tarski(E, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_6_morph_01, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) &  ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) )  =>  (r2_hidden(A, a_3_6_morph_01(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) &  (A=k2_morph_01(B, D, E) & r2_tarski(E, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_7_morph_01, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) &  ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) )  =>  (r2_hidden(A, a_3_7_morph_01(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) &  (A=k1_morph_01(B, E, D) & r2_tarski(E, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_8_morph_01, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) &  ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) )  =>  (r2_hidden(A, a_3_8_morph_01(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) &  (A=k1_morph_01(B, D, E) & r2_tarski(E, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_9_morph_01, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) &  ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) )  =>  (r2_hidden(A, a_3_9_morph_01(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) &  (A=k3_funct_2(k1_zfmisc_1(u1_struct_0(B)), k9_setfam_1(u1_struct_0(B)), k3_morph_01(B, D), E) & r2_tarski(E, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_10_morph_01, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) &  ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) )  =>  (r2_hidden(A, a_3_10_morph_01(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) &  (A=k3_funct_2(k1_zfmisc_1(u1_struct_0(B)), k9_setfam_1(u1_struct_0(B)), k4_morph_01(B, D), E) & r2_tarski(E, C)) ) ) ) ) ) ).
fof(fc1_msafree, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v1_relat_1(k2_card_3(B)) &  (v4_relat_1(k2_card_3(B), A) & v1_funct_1(k2_card_3(B))) ) ) ) ).
fof(fc2_msafree, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v1_relat_1(k2_card_3(B)) &  (v1_funct_1(k2_card_3(B)) & v1_partfun1(k2_card_3(B), A)) ) ) ) ).
fof(fc3_msafree, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (v1_relat_1(k2_card_3(B)) &  (v2_relat_1(k2_card_3(B)) & v1_funct_1(k2_card_3(B))) ) ) ) ).
fof(fc4_msafree, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) ) )  =>  ~ (v1_xboole_0(k3_card_3(B))) ) ) ).
fof(fc5_msafree, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  ( ~ (v2_struct_0(k5_msafree(A, B)))  & v1_lang1(k5_msafree(A, B))) ) ) ).
fof(fc6_msafree, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (v1_dtconstr(k5_msafree(A, B)) &  (v2_dtconstr(k5_msafree(A, B)) & v3_dtconstr(k5_msafree(A, B))) ) ) ) ).
fof(fc7_msafree, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, u1_struct_0(A))) )  =>  ~ (v1_xboole_0(k7_msafree(A, B, C))) ) ) ).
fof(fc8_msafree, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (v1_relat_1(k8_msafree(A, B)) &  (v2_relat_1(k8_msafree(A, B)) &  (v4_relat_1(k8_msafree(A, B), u1_struct_0(A)) &  (v1_funct_1(k8_msafree(A, B)) & v1_partfun1(k8_msafree(A, B), u1_struct_0(A))) ) ) ) ) ) ).
fof(fc9_msafree, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (v3_msualg_1(k11_msafree(A, B), A) & v4_msualg_1(k11_msafree(A, B), A)) ) ) ).
fof(fc10_msafree, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, u1_struct_0(A))) )  =>  ~ (v1_xboole_0(k12_msafree(A, B, C))) ) ) ).
fof(rc1_msafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (? [B] :  (l3_msualg_1(B, A) &  (v3_msualg_1(B, A) &  (v4_msualg_1(B, A) & v2_msafree(B, A)) ) ) ) ) ) ).
fof(rc2_msafree, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v2_msafree(B, A) & l3_msualg_1(B, A)) )  =>  (? [C] :  (m1_msafree(C, A, B) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) & v1_msafree(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(t1_msafree, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k3_finseq_2(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k3_finseq_2(B))))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) & v1_partfun1(D, B)) ) )  =>  (! [E] :  (m2_finseq_2(E, B, k3_finseq_2(B)) =>  (! [F] :  ( (r2_tarski(F, A) & E=k1_funct_1(C, F))  => k1_funct_1(k3_relat_1(C, k6_finseq_2(B, D)), F)=k4_card_3(k3_relat_1(E, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_msafree, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  (m3_pboole(D, A, B) =>  (! [E] :  (m2_pboole(E, A, B, C) =>  (! [F] :  (m2_pboole(F, A, D, C) =>  (F=k1_msafree(A, B, C, D, E) <=>  (! [G] :  (r2_tarski(G, A) => k1_funct_1(F, G)=k5_relat_1(k1_funct_1(E, G), k1_funct_1(D, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_msafree, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (r2_hidden(C, A) =>  (! [D] :  (D=k2_msafree(A, B, C) <=>  (! [E] :  (r2_tarski(E, D) <=>  (? [F] :  (r2_tarski(F, k1_funct_1(B, C)) & E=k4_tarski(F, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_msafree, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k3_msafree(A, B) <=>  (k9_xtuple_0(C)=A &  (! [D] :  (r2_tarski(D, A) => k1_funct_1(C, D)=k2_msafree(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t2_msafree, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (r2_tarski(C, A) =>  ( ~ ( ( ~ (k1_funct_1(B, C)=k1_xboole_0)  & k1_funct_1(k3_msafree(A, B), C)=k1_xboole_0) )  &  ~ ( ( ~ (k1_funct_1(k3_msafree(A, B), C)=k1_xboole_0)  & k1_funct_1(B, C)=k1_xboole_0) ) ) ) ) ) ) ) ).
fof(d4_msafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B)) =>  (m1_msafree(C, A, B) <=> r8_pboole(u1_struct_0(A), u3_msualg_1(A, k12_msualg_2(A, B, C)), u3_msualg_1(A, B))) ) ) ) ) ) ) ).
fof(t3_msafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v3_msualg_1(B, A) &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B)) =>  (m1_msafree(C, A, B) <=> k12_msualg_2(A, B, C)=B) ) ) ) ) ) ) ).
fof(d5_msafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m1_msafree(C, A, B) =>  (v1_msafree(C, A, B) <=>  (! [D] :  ( (v4_msualg_1(D, A) & l3_msualg_1(D, A))  =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), C, u3_msualg_1(A, D)) =>  (? [F] :  (m2_pboole(F, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, D)) &  (r1_msualg_3(A, B, D, F) & r8_pboole(u1_struct_0(A), k1_msafree(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, D), C, F), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_msafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (v2_msafree(B, A) <=>  (? [C] :  (m1_msafree(C, A, B) & v1_msafree(C, A, B)) ) ) ) ) ) ) ).
fof(t4_msafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  => r1_xboole_0(k3_card_3(k3_msafree(u1_struct_0(A), B)), k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A))))) ) ) ) ).
fof(d7_msafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A))), k3_card_3(k3_msafree(u1_struct_0(A), B))), k3_finseq_2(k2_xboole_0(k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A))), k3_card_3(k3_msafree(u1_struct_0(A), B))))))) =>  (C=k4_msafree(A, B) <=>  (! [D] :  (m1_subset_1(D, k2_xboole_0(k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A))), k3_card_3(k3_msafree(u1_struct_0(A), B)))) =>  (! [E] :  (m2_finseq_2(E, k2_xboole_0(k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A))), k3_card_3(k3_msafree(u1_struct_0(A), B))), k3_finseq_2(k2_xboole_0(k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A))), k3_card_3(k3_msafree(u1_struct_0(A), B))))) =>  (r2_hidden(k4_tarski(D, E), C) <=>  (r2_tarski(D, k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A)))) &  (! [F] :  (m1_subset_1(F, u4_struct_0(A)) =>  (k4_tarski(F, u1_struct_0(A))=D =>  (k3_finseq_1(E)=k3_finseq_1(k1_msualg_1(A, F)) &  (! [G] :  (r2_tarski(G, k4_finseq_1(E)) =>  ( (r2_tarski(k1_funct_1(E, G), k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A)))) =>  (! [H] :  (m1_subset_1(H, u4_struct_0(A)) =>  (k4_tarski(H, u1_struct_0(A))=k1_funct_1(E, G) => k2_msualg_1(A, H)=k1_funct_1(k1_msualg_1(A, F), G)) ) ) )  &  (r2_tarski(k1_funct_1(E, G), k3_card_3(k3_msafree(u1_struct_0(A), B))) => r2_tarski(k1_funct_1(E, G), k2_msafree(u1_struct_0(A), B, k1_funct_1(k1_msualg_1(A, F), G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_msafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m2_finseq_2(D, k2_xboole_0(k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A))), k3_card_3(k3_msafree(u1_struct_0(A), B))), k3_finseq_2(k2_xboole_0(k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A))), k3_card_3(k3_msafree(u1_struct_0(A), B))))) =>  (r2_hidden(k4_tarski(k4_tarski(C, u1_struct_0(A)), D), k4_msafree(A, B)) <=>  (k3_finseq_1(D)=k3_finseq_1(k1_msualg_1(A, C)) &  (! [E] :  (r2_tarski(E, k4_finseq_1(D)) =>  ( (r2_tarski(k1_funct_1(D, E), k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A)))) =>  (! [F] :  (m1_subset_1(F, u4_struct_0(A)) =>  (k4_tarski(F, u1_struct_0(A))=k1_funct_1(D, E) => k2_msualg_1(A, F)=k1_funct_1(k1_msualg_1(A, C), E)) ) ) )  &  (r2_tarski(k1_funct_1(D, E), k3_card_3(k3_msafree(u1_struct_0(A), B))) => r2_tarski(k1_funct_1(D, E), k2_msafree(u1_struct_0(A), B, k1_funct_1(k1_msualg_1(A, C), E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_msafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  => k5_msafree(A, B)=g1_lang1(k2_xboole_0(k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A))), k3_card_3(k3_msafree(u1_struct_0(A), B))), k4_msafree(A, B))) ) ) ) ).
fof(t6_msafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (r1_tarski(k2_lang1(k5_msafree(A, B)), k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A)))) &  (r1_tarski(k3_card_3(k3_msafree(u1_struct_0(A), B)), k1_lang1(k5_msafree(A, B))) &  (v2_relat_1(B) =>  (k2_lang1(k5_msafree(A, B))=k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A))) & k1_lang1(k5_msafree(A, B))=k3_card_3(k3_msafree(u1_struct_0(A), B))) ) ) ) ) ) ) ) ).
fof(t7_msafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (! [C] :  ( ~ ( (r2_tarski(C, k1_lang1(k5_msafree(A, B))) &  (v2_relat_1(B) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  ~ ( (r2_tarski(E, k1_funct_1(B, D)) & C=k4_tarski(E, D)) ) ) ) ) ) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (r2_tarski(E, k1_funct_1(B, D)) => r2_hidden(k4_tarski(E, D), k1_lang1(k5_msafree(A, B)))) ) ) ) ) ) ) ) ) ) ).
fof(d9_msafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) => k6_msafree(A, B, C)=k4_tarski(C, u1_struct_0(A))) ) ) ) ) ) ).
fof(d11_msafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) )  =>  (C=k8_msafree(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_funct_1(C, D)=k7_msafree(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t8_msafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (r2_tarski(D, k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k8_msafree(A, B))), C)) => m1_trees_4(D, k5_trees_3(u1_struct_0(k5_msafree(A, B))), k4_dtconstr(k5_msafree(A, B)))) ) ) ) ) ) ) ) ).
fof(t9_msafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_trees_4(D, k5_trees_3(u1_struct_0(k5_msafree(A, B))), k4_dtconstr(k5_msafree(A, B))) =>  (r2_tarski(D, k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k8_msafree(A, B))), C)) <=>  (k4_finseq_1(D)=k4_finseq_1(k1_msualg_1(A, C)) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) => r2_tarski(k1_funct_1(D, E), k7_msafree(A, B, k7_partfun1(u1_struct_0(A), k1_msualg_1(A, C), E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_msafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_trees_4(D, k5_trees_3(u1_struct_0(k5_msafree(A, B))), k4_dtconstr(k5_msafree(A, B))) =>  (r1_lang1(k5_msafree(A, B), k6_msafree(A, B, C), k1_dtconstr(u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), D)) <=> r2_tarski(D, k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k8_msafree(A, B))), C))) ) ) ) ) ) ) ) ) ).
fof(t11_msafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  => k3_tarski(k10_xtuple_0(k8_msafree(A, B)))=k4_dtconstr(k5_msafree(A, B))) ) ) ) ).
fof(t12_msafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ~ (C=D)  => r1_subset_1(k1_funct_1(k8_msafree(A, B), C), k1_funct_1(k8_msafree(A, B), D))) ) ) ) ) ) ) ) ) ).
fof(d12_msafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k8_msafree(A, B))), C), k1_funct_1(k3_relat_1(u2_msualg_1(A), k8_msafree(A, B)), C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k8_msafree(A, B))), C), k1_funct_1(k3_relat_1(u2_msualg_1(A), k8_msafree(A, B)), C))))) )  =>  (D=k9_msafree(A, B, C) <=>  (! [E] :  (m1_trees_4(E, k5_trees_3(u1_struct_0(k5_msafree(A, B))), k4_dtconstr(k5_msafree(A, B))) =>  (r1_lang1(k5_msafree(A, B), k6_msafree(A, B, C), k1_dtconstr(u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), E)) => k1_funct_1(D, E)=k8_trees_4(u1_struct_0(k5_msafree(A, B)), k6_msafree(A, B, C), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_msafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m2_pboole(C, u4_struct_0(A), k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k8_msafree(A, B))), k3_relat_1(u2_msualg_1(A), k8_msafree(A, B))) =>  (C=k10_msafree(A, B) <=>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) => r6_pboole(k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k8_msafree(A, B))), D), k1_msualg_3(u4_struct_0(A), k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k8_msafree(A, B))), k3_relat_1(u2_msualg_1(A), k8_msafree(A, B)), C, D), k9_msafree(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(d14_msafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  => k11_msafree(A, B)=g3_msualg_1(A, k8_msafree(A, B), k10_msafree(A, B))) ) ) ) ).
fof(d15_msafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_funct_1(k8_msafree(A, B), C))) =>  (D=k12_msafree(A, B, C) <=>  (! [E] :  (r2_tarski(E, D) <=>  (? [F] :  (r2_tarski(F, k1_funct_1(B, C)) & E=k1_trees_4(k4_tarski(F, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_msafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_msafree(C, A, k11_msafree(A, B)) =>  (C=k13_msafree(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_funct_1(C, D)=k12_msafree(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t14_msafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  => v2_relat_1(k13_msafree(A, B))) ) ) ) ).
fof(d17_msafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k12_msafree(A, B, C), k1_funct_1(B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k12_msafree(A, B, C), k1_funct_1(B, C))))) )  =>  (D=k14_msafree(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_msafree(A, B))) =>  (r2_tarski(k2_trees_4(u1_struct_0(k5_msafree(A, B)), E), k12_msafree(A, B, C)) => k1_funct_1(D, k2_trees_4(u1_struct_0(k5_msafree(A, B)), E))=k1_xtuple_0(E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_msafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m2_pboole(C, u1_struct_0(A), k13_msafree(A, B), B) =>  (C=k15_msafree(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_funct_2(k1_funct_1(k13_msafree(A, B), D), k1_funct_1(B, D), k12_msafree(A, B, D), k1_funct_1(B, D), k1_msualg_3(u1_struct_0(A), k13_msafree(A, B), B, C, D), k14_msafree(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(d19_msafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), k13_msafree(A, B), C) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_msafree(A, B))) =>  (r2_tarski(E, k6_dtconstr(k5_msafree(A, B))) =>  (! [F] :  (m1_subset_1(F, k3_card_3(C)) =>  (F=k16_msafree(A, B, C, D, E) <=>  (! [G] :  ( (v1_relat_1(G) & v1_funct_1(G))  =>  (G=k1_funct_1(D, k2_xtuple_0(E)) => F=k1_funct_1(G, k2_trees_4(u1_struct_0(k5_msafree(A, B)), E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d20_msafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_msafree(A, B))) =>  ( (? [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  & r1_lang1(k5_msafree(A, B), C, D)) )  =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (D=k17_msafree(A, B, C) <=> k4_tarski(D, u1_struct_0(A))=C) ) ) ) ) ) ) ) ) ) ).
fof(d21_msafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (r2_tarski(D, k3_msualg_1(A, C, B)) => k18_msafree(A, B, C, D)=k1_funct_1(k5_msualg_1(A, C, B), D)) ) ) ) ) ) ) ) ) ).
fof(t16_msafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  => v1_msafree(k13_msafree(A, B), A, k11_msafree(A, B))) ) ) ) ).
fof(t17_msafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  => v2_msafree(k11_msafree(A, B), A)) ) ) ) ).
fof(t18_msafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (? [C] :  ( (v3_msualg_1(C, A) &  (v4_msualg_1(C, A) &  (v2_msafree(C, A) & l3_msualg_1(C, A)) ) )  &  (? [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, B)) & r2_msualg_3(A, C, B, D)) ) ) ) ) ) ) ) ).
fof(t19_msafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v3_msualg_1(B, A) &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  (? [C] :  ( (v3_msualg_1(C, A) &  (v4_msualg_1(C, A) &  (v2_msafree(C, A) & l3_msualg_1(C, A)) ) )  &  (? [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, B)) &  (r2_msualg_3(A, C, B, D) & k6_msualg_3(A, C, B, D)=B) ) ) ) ) ) ) ) ) ).
fof(dt_k1_msafree, axiom,  (! [A, B, C, D, E] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  &  (m3_pboole(D, A, B) & m2_pboole(E, A, B, C)) ) )  => m2_pboole(k1_msafree(A, B, C, D, E), A, D, C)) ) ).
fof(dt_k3_msafree, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v1_relat_1(k3_msafree(A, B)) & v1_funct_1(k3_msafree(A, B))) ) ) ).
fof(redefinition_k3_msafree, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => k3_msafree(A, B)=k2_card_3(B)) ) ).
fof(dt_m1_msafree, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  & l3_msualg_1(B, A))  =>  (! [C] :  (m1_msafree(C, A, B) => m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B))) ) ) ) ).
fof(existence_m1_msafree, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  & l3_msualg_1(B, A))  =>  (? [C] : m1_msafree(C, A, B)) ) ) ).
fof(dt_k4_msafree, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  => m1_subset_1(k4_msafree(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A))), k3_card_3(k3_msafree(u1_struct_0(A), B))), k3_finseq_2(k2_xboole_0(k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A))), k3_card_3(k3_msafree(u1_struct_0(A), B)))))))) ) ).
fof(dt_k5_msafree, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  => l1_lang1(k5_msafree(A, B))) ) ).
fof(dt_k6_msafree, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, u4_struct_0(A))) )  => m1_subset_1(k6_msafree(A, B, C), u1_struct_0(k5_msafree(A, B)))) ) ).
fof(dt_k7_msafree, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k7_msafree(A, B, C), k1_zfmisc_1(k4_dtconstr(k5_msafree(A, B))))) ) ).
fof(dt_k8_msafree, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (v1_relat_1(k8_msafree(A, B)) &  (v4_relat_1(k8_msafree(A, B), u1_struct_0(A)) &  (v1_funct_1(k8_msafree(A, B)) & v1_partfun1(k8_msafree(A, B), u1_struct_0(A))) ) ) ) ) ).
fof(dt_k9_msafree, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, u4_struct_0(A))) )  =>  (v1_funct_1(k9_msafree(A, B, C)) &  (v1_funct_2(k9_msafree(A, B, C), k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k8_msafree(A, B))), C), k1_funct_1(k3_relat_1(u2_msualg_1(A), k8_msafree(A, B)), C)) & m1_subset_1(k9_msafree(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k8_msafree(A, B))), C), k1_funct_1(k3_relat_1(u2_msualg_1(A), k8_msafree(A, B)), C))))) ) ) ) ).
fof(dt_k10_msafree, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  => m2_pboole(k10_msafree(A, B), u4_struct_0(A), k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k8_msafree(A, B))), k3_relat_1(u2_msualg_1(A), k8_msafree(A, B)))) ) ).
fof(dt_k11_msafree, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  => l3_msualg_1(k11_msafree(A, B), A)) ) ).
fof(dt_k12_msafree, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k12_msafree(A, B, C), k1_zfmisc_1(k1_funct_1(k8_msafree(A, B), C)))) ) ).
fof(dt_k13_msafree, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  => m1_msafree(k13_msafree(A, B), A, k11_msafree(A, B))) ) ).
fof(dt_k14_msafree, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, u1_struct_0(A))) )  =>  (v1_funct_1(k14_msafree(A, B, C)) &  (v1_funct_2(k14_msafree(A, B, C), k12_msafree(A, B, C), k1_funct_1(B, C)) & m1_subset_1(k14_msafree(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k12_msafree(A, B, C), k1_funct_1(B, C))))) ) ) ) ).
fof(dt_k15_msafree, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  => m2_pboole(k15_msafree(A, B), u1_struct_0(A), k13_msafree(A, B), B)) ) ).
fof(dt_k16_msafree, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  &  (m2_pboole(D, u1_struct_0(A), k13_msafree(A, B), C) & m1_subset_1(E, u1_struct_0(k5_msafree(A, B)))) ) ) )  => m1_subset_1(k16_msafree(A, B, C, D, E), k3_card_3(C))) ) ).
fof(dt_k17_msafree, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, u1_struct_0(k5_msafree(A, B)))) )  => m1_subset_1(k17_msafree(A, B, C), u4_struct_0(A))) ) ).
fof(dt_k18_msafree, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  (m1_subset_1(C, u4_struct_0(A)) &  (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) ) ) ) )  => m1_subset_1(k18_msafree(A, B, C, D), k3_card_3(u3_msualg_1(A, B)))) ) ).
fof(d10_msafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k7_msafree(A, B, C)=a_3_0_msafree(A, B, C)) ) ) ) ) ) ).
fof(t13_msafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k12_msafree(A, B, C)=a_3_1_msafree(A, B, C)) ) ) ) ) ) ).
fof(t15_msafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  => k3_tarski(k10_xtuple_0(k13_msafree(A, B)))=a_2_0_msafree(A, B)) ) ) ) ).
fof(fraenkel_a_3_0_msafree, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) )  & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_0_msafree(B, C, D)) <=>  (? [E] :  (m1_dtconstr(E, u1_struct_0(k5_msafree(B, C)), k5_trees_3(u1_struct_0(k5_msafree(B, C))), k4_dtconstr(k5_msafree(B, C))) &  (A=E &  ~ ( ( (! [F] :  ~ ( (r2_tarski(F, k1_funct_1(C, D)) & E=k1_trees_4(k4_tarski(F, D))) ) )  &  (! [F] :  (m1_subset_1(F, u4_struct_0(B)) =>  ~ ( (k4_tarski(F, u1_struct_0(B))=k1_funct_1(E, k1_xboole_0) & k2_msualg_1(B, F)=D) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_msafree, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) )  & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_1_msafree(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(k5_msafree(B, C))) &  (A=k2_trees_4(u1_struct_0(k5_msafree(B, C)), E) &  (r2_tarski(E, k6_dtconstr(k5_msafree(B, C))) & k2_xtuple_0(E)=D) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_msafree, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  &  (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) ) )  =>  (r2_hidden(A, a_2_0_msafree(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(k5_msafree(B, C))) &  (A=k2_trees_4(u1_struct_0(k5_msafree(B, C)), D) & r2_tarski(D, k6_dtconstr(k5_msafree(B, C)))) ) ) ) ) ) ).
fof(fc1_msafree1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  ~ (v1_xboole_0(k10_xtuple_0(B))) ) ) ).
fof(cc1_msafree1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v3_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) ) ) ) ).
fof(rc1_msafree1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) ) ) ).
fof(rc2_msafree1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (? [B] :  (l3_msualg_1(B, A) &  (v4_msualg_1(B, A) & v1_msafree1(B, A)) ) ) ) ) ).
fof(fc2_msafree1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (v3_msualg_1(k2_msafree1(A), A) &  (v4_msualg_1(k2_msafree1(A), A) & v1_msafree1(k2_msafree1(A), A)) ) ) ) ).
fof(fc3_msafree1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  &  (v1_msafree1(B, A) & l3_msualg_1(B, A)) )  =>  (v1_relat_1(u3_msualg_1(A, B)) &  (v4_relat_1(u3_msualg_1(A, B), u1_struct_0(A)) &  (v1_funct_1(u3_msualg_1(A, B)) &  (v1_partfun1(u3_msualg_1(A, B), u1_struct_0(A)) & v1_prob_2(u3_msualg_1(A, B))) ) ) ) ) ) ).
fof(fc4_msafree1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (v1_relat_1(k8_msafree(A, B)) &  (v4_relat_1(k8_msafree(A, B), u1_struct_0(A)) &  (v1_funct_1(k8_msafree(A, B)) &  (v1_partfun1(k8_msafree(A, B), u1_struct_0(A)) & v1_prob_2(k8_msafree(A, B))) ) ) ) ) ) ).
fof(fc5_msafree1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  => v4_msualg_1(k11_msafree(A, B), A)) ) ).
fof(fc6_msafree1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (m1_subset_1(B, u4_struct_0(A)) &  (v4_msualg_1(C, A) & l3_msualg_1(C, A)) ) )  =>  ~ (v1_xboole_0(k3_msualg_1(A, B, C))) ) ) ).
fof(fc7_msafree1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (m1_subset_1(B, u4_struct_0(A)) &  (v4_msualg_1(C, A) & l3_msualg_1(C, A)) ) )  =>  ~ (v1_xboole_0(k4_msualg_1(A, B, C))) ) ) ).
fof(fc8_msafree1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (v1_relat_1(u3_msualg_1(A, k11_msafree(A, B))) &  (v4_relat_1(u3_msualg_1(A, k11_msafree(A, B)), u1_struct_0(A)) &  (v1_funct_1(u3_msualg_1(A, k11_msafree(A, B))) &  (v1_partfun1(u3_msualg_1(A, k11_msafree(A, B)), u1_struct_0(A)) & v1_prob_2(u3_msualg_1(A, k11_msafree(A, B)))) ) ) ) ) ) ).
fof(fc9_msafree1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  => v1_msafree1(k11_msafree(A, B), A)) ) ).
fof(t1_msafree1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_tarski(B, k4_card_3(A)) => r1_tarski(k10_xtuple_0(B), k3_card_3(A))) ) ) ) ) ).
fof(t2_msafree1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (! [C] :  (! [D] :  (r2_hidden(k4_tarski(C, D), k4_msafree(A, B)) =>  (r2_hidden(C, k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A)))) & r2_hidden(D, k13_finseq_1(k2_xboole_0(k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A))), k3_card_3(k3_msafree(u1_struct_0(A), B)))))) ) ) ) ) ) ) ) ).
fof(t3_msafree1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (r2_hidden(k4_tarski(k4_tarski(C, u1_struct_0(A)), D), k4_msafree(A, B)) =>  (k3_finseq_1(D)=k3_finseq_1(k1_msualg_1(A, C)) &  (! [E] :  (r2_tarski(E, k4_finseq_1(D)) =>  ( (r2_tarski(k1_funct_1(D, E), k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A)))) =>  (! [F] :  (m1_subset_1(F, u4_struct_0(A)) =>  (k4_tarski(F, u1_struct_0(A))=k1_funct_1(D, E) => k2_msualg_1(A, F)=k1_funct_1(k1_msualg_1(A, C), E)) ) ) )  &  (r2_tarski(k1_funct_1(D, E), k3_card_3(k3_msafree(u1_struct_0(A), B))) => r2_tarski(k1_funct_1(D, E), k2_msafree(u1_struct_0(A), B, k1_funct_1(k1_msualg_1(A, C), E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_msafree1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  (m2_pboole(D, A, B, C) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k3_card_3(B), k3_card_3(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_card_3(B), k3_card_3(C))))) )  =>  (E=k1_msafree1(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (r2_tarski(G, k1_funct_1(B, F)) => k1_funct_1(E, G)=k1_funct_1(k1_msualg_3(A, B, C, D, F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_msafree1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  (m2_pboole(D, A, B, C) =>  (! [E] :  (m2_pboole(E, A, B, C) =>  (r2_funct_2(k3_card_3(B), k3_card_3(C), k1_msafree1(A, B, C, D), k1_msafree1(A, B, C, E)) => r8_pboole(A, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_msafree1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  (l3_msualg_1(B, A) =>  (v1_msafree1(B, A) <=> v1_prob_2(u3_msualg_1(A, B))) ) ) ) ) ).
fof(d3_msafree1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( (v3_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (B=k2_msafree1(A) <=>  (! [C] :  (r2_tarski(C, u1_struct_0(A)) => k1_funct_1(u3_msualg_1(A, B), C)=k1_tarski(C)) ) ) ) ) ) ) ).
fof(t5_msafree1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v1_msafree1(C, A) & l3_msualg_1(C, A)) )  =>  (! [D] :  ( (v4_msualg_1(D, A) & l3_msualg_1(D, A))  =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D)) =>  (! [F] :  (m1_subset_1(F, k3_msualg_1(A, B, C)) => k3_relat_1(F, k1_msafree1(u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D), E))=k5_msualg_3(A, C, D, B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_msafree1, axiom,  ( ( (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s1_msafree1)) =>  (r2_tarski(A, k1_lang1(f1_s1_msafree1)) => k1_funct_1(f5_s1_msafree1, k2_trees_4(u1_struct_0(f1_s1_msafree1), A))=f3_s1_msafree1(A)) ) )  &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s1_msafree1)) =>  (! [B] :  (m1_subset_1(B, k13_finseq_1(k4_dtconstr(f1_s1_msafree1))) =>  (r1_lang1(f1_s1_msafree1, A, k15_trees_3(B)) =>  (! [C] :  (m1_subset_1(C, k13_finseq_1(f2_s1_msafree1)) =>  (C=k3_relat_1(B, f5_s1_msafree1) => k1_funct_1(f5_s1_msafree1, k4_trees_4(A, B))=f4_s1_msafree1(A, B, C)) ) ) ) ) ) ) )  &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s1_msafree1)) =>  (r2_tarski(A, k1_lang1(f1_s1_msafree1)) => k1_funct_1(f6_s1_msafree1, k2_trees_4(u1_struct_0(f1_s1_msafree1), A))=f3_s1_msafree1(A)) ) )  &  (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s1_msafree1)) =>  (! [B] :  (m1_subset_1(B, k13_finseq_1(k4_dtconstr(f1_s1_msafree1))) =>  (r1_lang1(f1_s1_msafree1, A, k15_trees_3(B)) =>  (! [C] :  (m1_subset_1(C, k13_finseq_1(f2_s1_msafree1)) =>  (C=k3_relat_1(B, f6_s1_msafree1) => k1_funct_1(f6_s1_msafree1, k4_trees_4(A, B))=f4_s1_msafree1(A, B, C)) ) ) ) ) ) ) ) ) ) )  => r2_funct_2(k4_dtconstr(f1_s1_msafree1), f2_s1_msafree1, f5_s1_msafree1, f6_s1_msafree1)) ).
fof(s2_msafree1, axiom,  ( ( (! [A] :  (m1_subset_1(A, u4_struct_0(f1_s2_msafree1)) =>  (! [B] :  (m1_subset_1(B, k3_msualg_1(f1_s2_msafree1, A, k11_msafree(f1_s2_msafree1, f2_s2_msafree1))) =>  (! [C] :  (m1_subset_1(C, k13_finseq_1(k3_card_3(f3_s2_msafree1))) =>  (C=k3_relat_1(B, k1_msafree1(u1_struct_0(f1_s2_msafree1), k8_msafree(f1_s2_msafree1, f2_s2_msafree1), f3_s2_msafree1, f6_s2_msafree1)) => k1_funct_1(k1_msualg_3(u1_struct_0(f1_s2_msafree1), k8_msafree(f1_s2_msafree1, f2_s2_msafree1), f3_s2_msafree1, f6_s2_msafree1, k2_msualg_1(f1_s2_msafree1, A)), k3_funct_2(k3_msualg_1(f1_s2_msafree1, A, k11_msafree(f1_s2_msafree1, f2_s2_msafree1)), k4_msualg_1(f1_s2_msafree1, A, k11_msafree(f1_s2_msafree1, f2_s2_msafree1)), k5_msualg_1(f1_s2_msafree1, A, k11_msafree(f1_s2_msafree1, f2_s2_msafree1)), B))=f5_s2_msafree1(A, B, C)) ) ) ) ) ) )  &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s2_msafree1)) =>  (! [B] :  (r2_tarski(B, k12_msafree(f1_s2_msafree1, f2_s2_msafree1, A)) => k1_funct_1(k1_msualg_3(u1_struct_0(f1_s2_msafree1), k8_msafree(f1_s2_msafree1, f2_s2_msafree1), f3_s2_msafree1, f6_s2_msafree1, A), B)=f4_s2_msafree1(B)) ) ) )  &  ( (! [A] :  (m1_subset_1(A, u4_struct_0(f1_s2_msafree1)) =>  (! [B] :  (m1_subset_1(B, k3_msualg_1(f1_s2_msafree1, A, k11_msafree(f1_s2_msafree1, f2_s2_msafree1))) =>  (! [C] :  (m1_subset_1(C, k13_finseq_1(k3_card_3(f3_s2_msafree1))) =>  (C=k3_relat_1(B, k1_msafree1(u1_struct_0(f1_s2_msafree1), k8_msafree(f1_s2_msafree1, f2_s2_msafree1), f3_s2_msafree1, f7_s2_msafree1)) => k1_funct_1(k1_msualg_3(u1_struct_0(f1_s2_msafree1), k8_msafree(f1_s2_msafree1, f2_s2_msafree1), f3_s2_msafree1, f7_s2_msafree1, k2_msualg_1(f1_s2_msafree1, A)), k3_funct_2(k3_msualg_1(f1_s2_msafree1, A, k11_msafree(f1_s2_msafree1, f2_s2_msafree1)), k4_msualg_1(f1_s2_msafree1, A, k11_msafree(f1_s2_msafree1, f2_s2_msafree1)), k5_msualg_1(f1_s2_msafree1, A, k11_msafree(f1_s2_msafree1, f2_s2_msafree1)), B))=f5_s2_msafree1(A, B, C)) ) ) ) ) ) )  &  (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s2_msafree1)) =>  (! [B] :  (r2_tarski(B, k12_msafree(f1_s2_msafree1, f2_s2_msafree1, A)) => k1_funct_1(k1_msualg_3(u1_struct_0(f1_s2_msafree1), k8_msafree(f1_s2_msafree1, f2_s2_msafree1), f3_s2_msafree1, f7_s2_msafree1, A), B)=f4_s2_msafree1(B)) ) ) ) ) ) )  => r8_pboole(u1_struct_0(f1_s2_msafree1), f6_s2_msafree1, f7_s2_msafree1)) ).
fof(s3_msafree1, axiom,  ( (r1_msualg_3(f1_s3_msafree1, k11_msafree(f1_s3_msafree1, f2_s3_msafree1), f3_s3_msafree1, f4_s3_msafree1) &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s3_msafree1)) =>  (! [B] :  (! [C] :  (r2_tarski(C, k12_msafree(f1_s3_msafree1, f2_s3_msafree1, A)) =>  (k1_funct_1(k1_msualg_3(u1_struct_0(f1_s3_msafree1), u3_msualg_1(f1_s3_msafree1, k11_msafree(f1_s3_msafree1, f2_s3_msafree1)), u3_msualg_1(f1_s3_msafree1, f3_s3_msafree1), f4_s3_msafree1, A), C)=B <=> p1_s3_msafree1(A, B, C)) ) ) ) ) )  &  (r1_msualg_3(f1_s3_msafree1, k11_msafree(f1_s3_msafree1, f2_s3_msafree1), f3_s3_msafree1, f5_s3_msafree1) &  (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s3_msafree1)) =>  (! [B] :  (! [C] :  (r2_tarski(C, k12_msafree(f1_s3_msafree1, f2_s3_msafree1, A)) =>  (k1_funct_1(k1_msualg_3(u1_struct_0(f1_s3_msafree1), u3_msualg_1(f1_s3_msafree1, k11_msafree(f1_s3_msafree1, f2_s3_msafree1)), u3_msualg_1(f1_s3_msafree1, f3_s3_msafree1), f5_s3_msafree1, A), C)=B <=> p1_s3_msafree1(A, B, C)) ) ) ) ) ) ) ) )  => r8_pboole(u1_struct_0(f1_s3_msafree1), f4_s3_msafree1, f5_s3_msafree1)) ).
fof(dt_f1_s1_msafree1, axiom,  ( ~ (v2_struct_0(f1_s1_msafree1))  & l1_lang1(f1_s1_msafree1)) ).
fof(dt_f2_s1_msafree1, axiom,  ~ (v1_xboole_0(f2_s1_msafree1)) ).
fof(dt_f3_s1_msafree1, axiom,  (! [A] : m1_subset_1(f3_s1_msafree1(A), f2_s1_msafree1)) ).
fof(dt_f4_s1_msafree1, axiom,  (! [A, B, C] : m1_subset_1(f4_s1_msafree1(A, B, C), f2_s1_msafree1)) ).
fof(dt_f5_s1_msafree1, axiom,  (v1_funct_1(f5_s1_msafree1) &  (v1_funct_2(f5_s1_msafree1, k4_dtconstr(f1_s1_msafree1), f2_s1_msafree1) & m1_subset_1(f5_s1_msafree1, k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(f1_s1_msafree1), f2_s1_msafree1)))) ) ).
fof(dt_f6_s1_msafree1, axiom,  (v1_funct_1(f6_s1_msafree1) &  (v1_funct_2(f6_s1_msafree1, k4_dtconstr(f1_s1_msafree1), f2_s1_msafree1) & m1_subset_1(f6_s1_msafree1, k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(f1_s1_msafree1), f2_s1_msafree1)))) ) ).
fof(dt_k1_msafree1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  & m2_pboole(D, A, B, C)) ) )  =>  (v1_funct_1(k1_msafree1(A, B, C, D)) &  (v1_funct_2(k1_msafree1(A, B, C, D), k3_card_3(B), k3_card_3(C)) & m1_subset_1(k1_msafree1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k3_card_3(B), k3_card_3(C))))) ) ) ) ).
fof(dt_k2_msafree1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (v3_msualg_1(k2_msafree1(A), A) & l3_msualg_1(k2_msafree1(A), A)) ) ) ).
fof(dt_f1_s2_msafree1, axiom,  ( ~ (v2_struct_0(f1_s2_msafree1))  &  ( ~ (v11_struct_0(f1_s2_msafree1))  & l1_msualg_1(f1_s2_msafree1)) ) ).
fof(dt_f2_s2_msafree1, axiom,  (v1_relat_1(f2_s2_msafree1) &  (v2_relat_1(f2_s2_msafree1) &  (v4_relat_1(f2_s2_msafree1, u1_struct_0(f1_s2_msafree1)) &  (v1_funct_1(f2_s2_msafree1) & v1_partfun1(f2_s2_msafree1, u1_struct_0(f1_s2_msafree1))) ) ) ) ).
fof(dt_f3_s2_msafree1, axiom,  (v1_relat_1(f3_s2_msafree1) &  (v2_relat_1(f3_s2_msafree1) &  (v4_relat_1(f3_s2_msafree1, u1_struct_0(f1_s2_msafree1)) &  (v1_funct_1(f3_s2_msafree1) & v1_partfun1(f3_s2_msafree1, u1_struct_0(f1_s2_msafree1))) ) ) ) ).
fof(dt_f4_s2_msafree1, axiom,  (! [A] : m1_subset_1(f4_s2_msafree1(A), k3_card_3(f3_s2_msafree1))) ).
fof(dt_f5_s2_msafree1, axiom,  (! [A, B, C] : m1_subset_1(f5_s2_msafree1(A, B, C), k3_card_3(f3_s2_msafree1))) ).
fof(dt_f6_s2_msafree1, axiom, m2_pboole(f6_s2_msafree1, u1_struct_0(f1_s2_msafree1), k8_msafree(f1_s2_msafree1, f2_s2_msafree1), f3_s2_msafree1)).
fof(dt_f7_s2_msafree1, axiom, m2_pboole(f7_s2_msafree1, u1_struct_0(f1_s2_msafree1), k8_msafree(f1_s2_msafree1, f2_s2_msafree1), f3_s2_msafree1)).
fof(dt_f1_s3_msafree1, axiom,  ( ~ (v2_struct_0(f1_s3_msafree1))  &  ( ~ (v11_struct_0(f1_s3_msafree1))  & l1_msualg_1(f1_s3_msafree1)) ) ).
fof(dt_f2_s3_msafree1, axiom,  (v1_relat_1(f2_s3_msafree1) &  (v2_relat_1(f2_s3_msafree1) &  (v4_relat_1(f2_s3_msafree1, u1_struct_0(f1_s3_msafree1)) &  (v1_funct_1(f2_s3_msafree1) & v1_partfun1(f2_s3_msafree1, u1_struct_0(f1_s3_msafree1))) ) ) ) ).
fof(dt_f3_s3_msafree1, axiom,  (v4_msualg_1(f3_s3_msafree1, f1_s3_msafree1) & l3_msualg_1(f3_s3_msafree1, f1_s3_msafree1)) ).
fof(dt_f4_s3_msafree1, axiom, m2_pboole(f4_s3_msafree1, u1_struct_0(f1_s3_msafree1), u3_msualg_1(f1_s3_msafree1, k11_msafree(f1_s3_msafree1, f2_s3_msafree1)), u3_msualg_1(f1_s3_msafree1, f3_s3_msafree1))).
fof(dt_f5_s3_msafree1, axiom, m2_pboole(f5_s3_msafree1, u1_struct_0(f1_s3_msafree1), u3_msualg_1(f1_s3_msafree1, k11_msafree(f1_s3_msafree1, f2_s3_msafree1)), u3_msualg_1(f1_s3_msafree1, f3_s3_msafree1))).
fof(rc1_msafree2, axiom,  (? [A] :  (l1_msualg_1(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v14_struct_0(A) & v1_msafree2(A)) ) ) ) ) ).
fof(fc1_msafree2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_msafree2(A) & l1_msualg_1(A)) )  =>  ~ (v1_xboole_0(k2_msafree2(A))) ) ) ).
fof(fc2_msafree2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  ~ (v1_xboole_0(k3_msafree2(A))) ) ) ).
fof(cc1_msafree2, axiom,  (! [A] :  (l1_msualg_1(A) =>  ( ( ~ (v2_struct_0(A))  & v11_struct_0(A))  =>  ( ~ (v2_struct_0(A))  & v2_msafree2(A)) ) ) ) ).
fof(rc2_msafree2, axiom,  (? [A] :  (l1_msualg_1(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v14_struct_0(A) &  (v1_msualg_1(A) & v2_msafree2(A)) ) ) ) ) ) ).
fof(cc2_msafree2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  (l3_msualg_1(B, A) =>  ( (v4_msualg_1(B, A) & v4_msafree2(B, A))  =>  (v4_msualg_1(B, A) & v3_msafree2(B, A)) ) ) ) ) ) ).
fof(rc3_msafree2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (? [B] :  (l3_msualg_1(B, A) &  (v3_msualg_1(B, A) &  (v4_msualg_1(B, A) & v4_msafree2(B, A)) ) ) ) ) ) ).
fof(rc4_msafree2, axiom,  (? [A] :  (l1_msualg_1(A) &  ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  ( ~ (v11_struct_0(A))  &  (v14_struct_0(A) &  (v2_msafree2(A) & v5_msafree2(A)) ) ) ) ) ) ) ).
fof(cc3_msafree2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, u1_struct_0(A))) )  =>  (! [D] :  (m1_subset_1(D, k1_funct_1(u3_msualg_1(A, k11_msafree(A, B)), C)) =>  (v1_relat_1(D) &  ( ~ (v1_xboole_0(D))  &  (v1_funct_1(D) & v1_finset_1(D)) ) ) ) ) ) ) ).
fof(rc5_msafree2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, u1_struct_0(A))) )  =>  (? [D] :  (m1_subset_1(D, k1_funct_1(u3_msualg_1(A, k11_msafree(A, B)), C)) &  (v1_relat_1(D) &  ( ~ (v1_xboole_0(D))  &  (v1_funct_1(D) &  (v1_finset_1(D) & v4_card_3(D)) ) ) ) ) ) ) ) ).
fof(cc4_msafree2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, u1_struct_0(A))) )  =>  (! [D] :  (m1_subset_1(D, k1_funct_1(u3_msualg_1(A, k11_msafree(A, B)), C)) =>  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (v1_relat_1(D) &  (v1_funct_1(D) & v3_trees_2(D)) ) ) ) ) ) ) ).
fof(rc6_msafree2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, u1_struct_0(A))) )  =>  (? [D] :  (m1_subset_1(D, k1_funct_1(u3_msualg_1(A, k11_msafree(A, B)), C)) &  (v1_relat_1(D) &  ( ~ (v1_xboole_0(D))  &  (v1_funct_1(D) &  (v1_finset_1(D) &  (v4_card_3(D) & v3_trees_2(D)) ) ) ) ) ) ) ) ) ).
fof(d2_msafree2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  => k2_msafree2(A)=k6_subset_1(u1_struct_0(A), k2_relset_1(u1_struct_0(A), u2_msualg_1(A)))) ) ).
fof(d3_msafree2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  => k3_msafree2(A)=k2_relset_1(u1_struct_0(A), u2_msualg_1(A))) ) ).
fof(t1_msafree2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v11_struct_0(A) & l1_msualg_1(A)) )  => k2_msafree2(A)=u1_struct_0(A)) ) ).
fof(t2_msafree2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (r2_tarski(B, k2_msafree2(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  ~ (k2_msualg_1(A, C)=B) ) ) ) ) ) ) ) ).
fof(t3_msafree2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  => r1_tarski(k1_msafree2(A), k3_msafree2(A))) ) ).
fof(t4_msafree2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  => r1_xboole_0(k2_msafree2(A), k1_msafree2(A))) ) ).
fof(d4_msafree2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (v1_msafree2(A) <=>  ~ (k2_msafree2(A)=k1_xboole_0) ) ) ) ).
fof(d5_msafree2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k2_msafree2(A)) &  (v1_funct_1(C) & v1_partfun1(C, k2_msafree2(A))) ) )  =>  (m1_msafree2(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, k2_msafree2(A)) => r2_tarski(k1_funct_1(C, D), k1_funct_1(u3_msualg_1(A, B), D))) ) ) ) ) ) ) ) ) ) ).
fof(d6_msafree2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (v2_msafree2(A) <=>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (B=A =>  (! [C] :  (m1_subset_1(C, u4_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(B)) =>  (k2_msualg_1(B, C)=k2_msualg_1(B, D) => C=D) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_msafree2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (r2_tarski(B, k3_msafree2(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (C=k4_msafree2(A, B) <=> k2_msualg_1(A, C)=B) ) ) ) ) ) ) ) ).
fof(t5_msafree2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  ( (k3_finseq_1(D)=k3_finseq_1(k1_msualg_1(A, C)) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k1_relset_1(k4_ordinal1, D)) => r2_tarski(k1_funct_1(D, E), k1_funct_1(u3_msualg_1(A, B), k7_partfun1(u1_struct_0(A), k1_msualg_1(A, C), E)))) ) ) )  => r2_tarski(D, k3_msualg_1(A, C, B))) ) ) ) ) ) ) ) ) ).
fof(d8_msafree2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  => k5_msafree2(A, B)=k11_msafree(A, u3_msualg_1(A, B))) ) ) ) ).
fof(d9_msafree2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m2_pboole(C, u1_struct_0(A), u3_msualg_1(A, k5_msafree2(A, B)), u3_msualg_1(A, B)) =>  (C=k6_msafree2(A, B) <=>  (r1_msualg_3(A, k5_msafree2(A, B), B, C) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (! [F] :  ( (r2_tarski(F, k7_msafree(A, u3_msualg_1(A, B), D)) &  (F=k1_trees_4(k4_tarski(E, D)) & r2_tarski(E, k1_funct_1(u3_msualg_1(A, B), D))) )  => k1_funct_1(k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, k5_msafree2(A, B)), u3_msualg_1(A, B), C, D), F)=E) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_msafree2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  => m1_msafree(u3_msualg_1(A, B), A, B)) ) ) ) ).
fof(d10_msafree2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  (l3_msualg_1(B, A) =>  ( ( ~ (v11_struct_0(A))  =>  (v3_msafree2(B, A) <=>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  & l1_msualg_1(C)) )  =>  (C=A =>  (! [D] :  (l3_msualg_1(D, C) =>  ~ ( (D=B &  (! [E] :  (m1_msafree(E, C, D) =>  ~ (v2_finset_1(E)) ) ) ) ) ) ) ) ) ) ) )  &  (v11_struct_0(A) =>  (v3_msafree2(B, A) <=> v2_finset_1(u3_msualg_1(A, B))) ) ) ) ) ) ) ).
fof(d11_msafree2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  (l3_msualg_1(B, A) =>  (v4_msafree2(B, A) <=> v2_finset_1(u3_msualg_1(A, B))) ) ) ) ) ).
fof(d12_msafree2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( (v3_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (B=k7_msafree2(A) <=> r8_pboole(u1_struct_0(A), u3_msualg_1(A, B), k7_funcop_1(u1_struct_0(A), k1_tarski(k5_ordinal1)))) ) ) ) ) ).
fof(d13_msafree2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (v5_msafree2(A) <=>  (! [B] :  ( (v4_msualg_1(B, A) &  (v3_msafree2(B, A) & l3_msualg_1(B, A)) )  => v4_msafree2(B, A)) ) ) ) ) ).
fof(t7_msafree2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_funct_1(u3_msualg_1(A, k11_msafree(A, B)), C)) =>  (v1_relat_1(D) &  (v1_funct_1(D) &  (v1_finset_1(D) & v3_trees_2(D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_msafree2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v2_finset_1(B)) ) ) ) )  => v3_msafree2(k11_msafree(A, B), A)) ) ) ) ).
fof(t9_msafree2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_funct_1(u3_msualg_1(A, k5_msafree2(A, B)), C)) =>  ~ ( (r2_tarski(C, k2_msafree2(A)) &  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, B), C)) =>  ~ (D=k1_trees_4(k4_tarski(E, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_msafree2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v1_finseq_1(D) & v6_trees_3(D)) ) )  =>  (r2_tarski(k4_trees_4(k4_tarski(C, u1_struct_0(A)), D), k1_funct_1(u3_msualg_1(A, k11_msafree(A, B)), k2_msualg_1(A, C))) => k3_finseq_1(D)=k3_finseq_1(k1_msualg_1(A, C))) ) ) ) ) ) ) ) ) ).
fof(t11_msafree2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v1_finseq_1(D) & v6_trees_3(D)) ) )  =>  (r2_tarski(k4_trees_4(k4_tarski(C, u1_struct_0(A)), D), k1_funct_1(u3_msualg_1(A, k11_msafree(A, B)), k2_msualg_1(A, C))) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k1_relset_1(k4_ordinal1, k1_msualg_1(A, C))) => r2_tarski(k1_funct_1(D, E), k1_funct_1(u3_msualg_1(A, k11_msafree(A, B)), k1_funct_1(k1_msualg_1(A, C), E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_msafree2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, k11_msafree(A, B)), C)) =>  ~ ( (k1_funct_1(E, k1_xboole_0)=k4_tarski(D, u1_struct_0(A)) &  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) &  (v1_finseq_1(F) & v6_trees_3(F)) ) )  =>  ~ ( (k3_finseq_1(F)=k3_finseq_1(k1_msualg_1(A, D)) &  (! [G] :  (v7_ordinal1(G) =>  (r2_tarski(G, k1_relset_1(k4_ordinal1, F)) => r2_tarski(k1_funct_1(F, G), k1_funct_1(u3_msualg_1(A, k11_msafree(A, B)), k1_funct_1(k1_msualg_1(A, D), G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_msafree2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_funct_1(u3_msualg_1(A, k11_msafree(A, B)), C)) =>  (! [E] :  (v7_ordinal1(E) =>  (E=k8_msafree2(A, B, C, D) <=>  (? [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) &  (v1_finset_1(F) & v3_trees_2(F)) ) )  &  (? [G] :  ( ( ~ (v1_xboole_0(G))  &  (v1_finset_1(G) & v1_trees_1(G)) )  &  (F=D &  (G=k9_xtuple_0(F) & E=k6_trees_1(G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_msafree2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  => m1_subset_1(k1_msafree2(A), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k2_msafree2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  => m1_subset_1(k2_msafree2(A), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k3_msafree2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  => m1_subset_1(k3_msafree2(A), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_m1_msafree2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_msafree2(C, A, B) =>  (v1_relat_1(C) &  (v4_relat_1(C, k2_msafree2(A)) &  (v1_funct_1(C) & v1_partfun1(C, k2_msafree2(A))) ) ) ) ) ) ) ).
fof(existence_m1_msafree2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  (? [C] : m1_msafree2(C, A, B)) ) ) ).
fof(dt_k4_msafree2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree2(A) & l1_msualg_1(A)) ) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k4_msafree2(A, B), u4_struct_0(A))) ) ).
fof(dt_k5_msafree2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  (v3_msualg_1(k5_msafree2(A, B), A) &  (v4_msualg_1(k5_msafree2(A, B), A) &  (v2_msafree(k5_msafree2(A, B), A) & l3_msualg_1(k5_msafree2(A, B), A)) ) ) ) ) ).
fof(dt_k6_msafree2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  => m2_pboole(k6_msafree2(A, B), u1_struct_0(A), u3_msualg_1(A, k5_msafree2(A, B)), u3_msualg_1(A, B))) ) ).
fof(dt_k7_msafree2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (v3_msualg_1(k7_msafree2(A), A) & l3_msualg_1(k7_msafree2(A), A)) ) ) ).
fof(dt_k8_msafree2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, k1_funct_1(u3_msualg_1(A, k11_msafree(A, B)), C))) ) )  => v7_ordinal1(k8_msafree2(A, B, C, D))) ) ).
fof(d1_msafree2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  ( ( ~ (v11_struct_0(A))  => k1_msafree2(A)=a_1_0_msafree2(A))  &  (v11_struct_0(A) => k1_msafree2(A)=k1_xboole_0) ) ) ) ).
fof(fraenkel_a_1_0_msafree2, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (r2_hidden(A, a_1_0_msafree2(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(B)) &  (A=C & v1_msualg_2(C, B)) ) ) ) ) ) ).
fof(fc1_msafree3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( ~ (v1_catalg_1(B, A))  & l3_msualg_1(B, A)) )  =>  ~ (v1_xboole_0(k3_card_3(u3_msualg_1(A, B)))) ) ) ).
fof(fc2_msafree3, axiom,  (! [A, B] :  ( ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (v3_msualg_1(k1_msafree3(A, B), A) &  ~ (v1_catalg_1(k1_msafree3(A, B), A)) ) ) ) ).
fof(cc1_msafree3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (v1_relat_1(C) & v1_funct_1(C)) ) ) ) ) ).
fof(cc2_msafree3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (v1_finset_1(C) & v3_trees_2(C)) ) ) ) ) ).
fof(cc3_msafree3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) => v3_trees_9(C)) ) ) ) ).
fof(cc4_msafree3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_trees_2(A)) )  =>  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v3_trees_2(A)) ) ) ) ) ).
fof(cc5_msafree3, axiom,  (! [A, B] :  ( ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  &  (v1_msualg_6(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_msualg_2(C, A, B) => v1_msualg_6(C, A)) ) ) ) ).
fof(fc3_msafree3, axiom,  (! [A, B] :  ( ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (v3_msualg_1(k1_msafree3(A, B), A) &  (v2_msafree(k1_msafree3(A, B), A) & v1_msualg_6(k1_msafree3(A, B), A)) ) ) ) ).
fof(t1_msafree3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v1_funcop_1(C)) ) ) )  =>  ( (v1_msualg_3(C) & r2_pboole(A, B, k1_funct_6(C)))  => r6_pboole(A, k1_equation(A, k9_pboole(A, B, C), C), B)) ) ) ) ) ) ).
fof(d1_msafree3, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (! [C] :  ( (v3_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (C=k1_msafree3(A, B) <=>  (? [D] :  (m3_pboole(D, u1_struct_0(A), u3_msualg_1(A, k11_msafree(A, k2_pboole(u1_struct_0(A), B, k8_funcop_1(k1_zfmisc_1(k4_ordinal1), u1_struct_0(A), k6_domain_1(k4_ordinal1, k5_numbers)))))) &  (C=k12_msualg_2(A, k11_msafree(A, k2_pboole(u1_struct_0(A), B, k8_funcop_1(k1_zfmisc_1(k4_ordinal1), u1_struct_0(A), k6_domain_1(k4_ordinal1, k5_numbers)))), D) & r8_pboole(u1_struct_0(A), D, k1_equation(u1_struct_0(A), B, k15_msafree(A, k2_pboole(u1_struct_0(A), B, k8_funcop_1(k1_zfmisc_1(k4_ordinal1), u1_struct_0(A), k6_domain_1(k4_ordinal1, k5_numbers))))))) ) ) ) ) ) ) ) ) ) ).
fof(t2_msafree3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r2_hidden(k4_tarski(A, D), u1_struct_0(k5_msafree(B, C))) <=> r2_tarski(A, k1_funct_1(C, D))) ) ) ) ) ) ) ) ).
fof(t3_msafree3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) & v1_partfun1(D, u1_struct_0(B))) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  ( (r2_tarski(A, k1_funct_1(D, E)) & r2_tarski(A, k1_funct_1(C, E)))  <=> r2_tarski(k1_trees_4(k4_tarski(A, E)), k1_funct_1(k1_equation(u1_struct_0(B), D, k15_msafree(B, C)), E))) ) ) ) ) ) ) ) ) ) ).
fof(t4_msafree3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r2_tarski(A, k1_funct_1(C, D)) => r2_tarski(k1_trees_4(k4_tarski(A, D)), k1_funct_1(u3_msualg_1(B, k1_msafree3(B, C)), D))) ) ) ) ) ) ) ) ).
fof(t5_msafree3, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (k1_msualg_1(A, C)=k1_xboole_0 => r2_tarski(k1_trees_4(k4_tarski(C, u1_struct_0(A))), k1_funct_1(u3_msualg_1(A, k1_msafree3(A, B)), k2_msualg_1(A, C)))) ) ) ) ) ) ) ).
fof(t6_msafree3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) )  =>  (m1_subset_1(A, k3_card_3(u3_msualg_1(B, k11_msafree(B, C)))) <=> m1_dtconstr(A, u1_struct_0(k5_msafree(B, C)), k5_trees_3(u1_struct_0(k5_msafree(B, C))), k1_msaterm(B, C))) ) ) ) ) ) ).
fof(t7_msafree3, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_dtconstr(D, u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B)) =>  (r2_tarski(D, k1_funct_1(u3_msualg_1(A, k11_msafree(A, B)), C)) <=> k7_msaterm(A, B, D)=C) ) ) ) ) ) ) ) ) ).
fof(t8_msafree3, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) => m1_dtconstr(C, u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), B, k8_funcop_1(k1_zfmisc_1(k4_ordinal1), u1_struct_0(A), k6_domain_1(k4_ordinal1, k5_numbers))))), k5_trees_3(u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), B, k8_funcop_1(k1_zfmisc_1(k4_ordinal1), u1_struct_0(A), k6_domain_1(k4_ordinal1, k5_numbers)))))), k1_msaterm(A, k2_pboole(u1_struct_0(A), B, k8_funcop_1(k1_zfmisc_1(k4_ordinal1), u1_struct_0(A), k6_domain_1(k4_ordinal1, k5_numbers)))))) ) ) ) ) ) ).
fof(d3_msafree3, axiom,  (! [A] :  (l1_msualg_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v1_relat_1(C))  => k3_msafree3(A, B, C)=k3_pboole(u1_struct_0(A), B, k2_msafree3(A, C))) ) ) ) ) ) ).
fof(t10_msafree3, axiom,  (! [A] :  (l1_msualg_1(A) =>  (! [B] :  (! [C] :  ( (r2_hidden(B, u1_struct_0(A)) => k1_funct_1(k2_msafree3(A, k1_trees_4(k4_tarski(C, B))), B)=k1_tarski(C))  &  (! [D] :  ( ~ ( (D=B & r2_hidden(B, u1_struct_0(A))) )  => k1_funct_1(k2_msafree3(A, k1_trees_4(k4_tarski(C, B))), D)=k1_xboole_0) ) ) ) ) ) ) ).
fof(t11_msafree3, axiom,  (! [A] :  (! [B] :  (! [C] :  (l1_msualg_1(C) =>  (! [D] :  (r2_tarski(D, u1_struct_0(C)) =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) &  (v1_finseq_1(E) & v6_trees_3(E)) ) )  =>  (r2_tarski(A, k1_funct_1(k2_msafree3(C, k4_trees_4(k4_tarski(B, u1_struct_0(C)), E)), D)) <=>  (? [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v3_trees_2(F)) )  &  (r2_tarski(F, k10_xtuple_0(E)) & r2_tarski(A, k1_funct_1(k2_msafree3(C, F), D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_msafree3, axiom,  (! [A] :  (l1_msualg_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (! [C] :  (! [D] :  ( (r2_tarski(D, k1_funct_1(B, C)) => k1_funct_1(k3_msafree3(A, B, k1_trees_4(k4_tarski(D, C))), C)=k1_tarski(D))  &  (! [E] :  ( ~ ( (E=C & r2_tarski(D, k1_funct_1(B, C))) )  => k1_funct_1(k3_msafree3(A, B, k1_trees_4(k4_tarski(D, C))), E)=k1_xboole_0) ) ) ) ) ) ) ) ) ).
fof(t13_msafree3, axiom,  (! [A] :  (! [B] :  (! [C] :  (l1_msualg_1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(C)) &  (v1_funct_1(D) & v1_partfun1(D, u1_struct_0(C))) ) )  =>  (! [E] :  (r2_tarski(E, u1_struct_0(C)) =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) &  (v1_finseq_1(F) & v6_trees_3(F)) ) )  =>  (r2_tarski(A, k1_funct_1(k3_msafree3(C, D, k4_trees_4(k4_tarski(B, u1_struct_0(C)), F)), E)) <=>  (? [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) & v3_trees_2(G)) )  &  (r2_tarski(G, k10_xtuple_0(F)) & r2_tarski(A, k1_funct_1(k3_msafree3(C, D, G), E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_msafree3, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_dtconstr(C, u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B)) => r2_pboole(u1_struct_0(A), k2_msafree3(A, C), B)) ) ) ) ) ) ).
fof(d4_msafree3, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_dtconstr(C, u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B)) => k4_msafree3(A, B, C)=k2_msafree3(A, C)) ) ) ) ) ) ).
fof(t15_msafree3, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_dtconstr(C, u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B)) => r8_pboole(u1_struct_0(A), k4_msafree3(A, B, C), k3_msafree3(A, B, C))) ) ) ) ) ) ).
fof(t16_msafree3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) & v1_partfun1(D, u1_struct_0(B))) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (r2_tarski(A, k1_funct_1(k5_msafree3(B, C, D), E)) => m1_dtconstr(A, u1_struct_0(k5_msafree(B, C)), k5_trees_3(u1_struct_0(k5_msafree(B, C))), k1_msaterm(B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t17_msafree3, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) )  =>  (! [D] :  (m1_dtconstr(D, u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(D, k1_funct_1(k5_msafree3(A, B, C), E)) =>  (k7_msaterm(A, B, D)=E & r2_pboole(u1_struct_0(A), k4_msafree3(A, B, D), C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_msafree3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) & v1_partfun1(D, u1_struct_0(B))) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (r2_tarski(k1_trees_4(k4_tarski(A, E)), k1_funct_1(k5_msafree3(B, C, D), E)) <=>  (r2_tarski(A, k1_funct_1(D, E)) & r2_tarski(A, k1_funct_1(C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_msafree3, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) )  =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_msaterm(E, A, B, k2_msaterm(A, B, D)) =>  (r2_tarski(k6_msaterm(A, B, k2_msaterm(A, B, D), E), k1_funct_1(k5_msafree3(A, B, C), k2_msualg_1(A, D))) <=> r1_tarski(k2_relset_1(k5_trees_3(u1_struct_0(k5_msafree(A, B))), E), k3_card_3(k5_msafree3(A, B, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_msafree3, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, k11_msafree(A, B))) =>  (v3_msualg_2(C, A, k11_msafree(A, B)) <=>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_msaterm(E, A, B, k2_msaterm(A, B, D)) =>  (r1_tarski(k2_relset_1(k5_trees_3(u1_struct_0(k5_msafree(A, B))), E), k3_card_3(C)) => r2_tarski(k6_msaterm(A, B, k2_msaterm(A, B, D), E), k1_funct_1(C, k2_msualg_1(A, D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_msafree3, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) )  => v3_msualg_2(k5_msafree3(A, B, C), A, k11_msafree(A, B))) ) ) ) ) ) ).
fof(t22_msafree3, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) )  => r2_pboole(u1_struct_0(A), k1_equation(u1_struct_0(A), C, k15_msafree(A, B)), k5_msafree3(A, B, C))) ) ) ) ) ) ).
fof(t23_msafree3, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (! [C] :  (m1_dtconstr(C, u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), B, k8_funcop_1(k1_zfmisc_1(k4_ordinal1), u1_struct_0(A), k6_domain_1(k4_ordinal1, k5_numbers))))), k5_trees_3(u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), B, k8_funcop_1(k1_zfmisc_1(k4_ordinal1), u1_struct_0(A), k6_domain_1(k4_ordinal1, k5_numbers)))))), k1_msaterm(A, k2_pboole(u1_struct_0(A), B, k8_funcop_1(k1_zfmisc_1(k4_ordinal1), u1_struct_0(A), k6_domain_1(k4_ordinal1, k5_numbers))))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(C, k1_funct_1(k5_msafree3(A, k2_pboole(u1_struct_0(A), B, k8_funcop_1(k1_zfmisc_1(k4_ordinal1), u1_struct_0(A), k6_domain_1(k4_ordinal1, k5_numbers))), B), D)) => r2_tarski(C, k1_funct_1(u3_msualg_1(A, k1_msafree3(A, B)), D))) ) ) ) ) ) ) ) ) ).
fof(t24_msafree3, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  => r8_pboole(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), k5_msafree3(A, k2_pboole(u1_struct_0(A), B, k8_funcop_1(k1_zfmisc_1(k4_ordinal1), u1_struct_0(A), k6_domain_1(k4_ordinal1, k5_numbers))), B))) ) ) ) ).
fof(t25_msafree3, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  => k10_msualg_2(A, k11_msafree(A, k2_pboole(u1_struct_0(A), B, k8_funcop_1(k1_zfmisc_1(k4_ordinal1), u1_struct_0(A), k6_domain_1(k4_ordinal1, k5_numbers)))), k5_msafree3(A, k2_pboole(u1_struct_0(A), B, k8_funcop_1(k1_zfmisc_1(k4_ordinal1), u1_struct_0(A), k6_domain_1(k4_ordinal1, k5_numbers))), B))=k1_msafree3(A, B)) ) ) ) ).
fof(t26_msafree3, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msualg_2(D, A, k11_msafree(A, B)) =>  (! [E] :  (m1_msualg_2(E, A, k11_msafree(A, C)) =>  (r8_pboole(u1_struct_0(A), u3_msualg_1(A, D), u3_msualg_1(A, E)) => g3_msualg_1(A, u3_msualg_1(A, D), u4_msualg_1(A, D))=g3_msualg_1(A, u3_msualg_1(A, E), u4_msualg_1(A, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_msafree3, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) )  =>  (! [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) => r2_pboole(u1_struct_0(A), k2_msafree3(A, D), B)) ) ) ) ) ) ) ) ).
fof(t28_msafree3, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_dtconstr(C, u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B)) => r2_pboole(u1_struct_0(A), k4_msafree3(A, B, C), B)) ) ) ) ) ) ).
fof(t29_msafree3, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_dtconstr(D, u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B)) =>  (! [E] :  (m1_dtconstr(E, u1_struct_0(k5_msafree(A, C)), k5_trees_3(u1_struct_0(k5_msafree(A, C))), k1_msaterm(A, C)) =>  (D=E => k7_msaterm(A, B, D)=k7_msaterm(A, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_msafree3, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_dtconstr(D, u1_struct_0(k5_msafree(A, C)), k5_trees_3(u1_struct_0(k5_msafree(A, C))), k1_msaterm(A, C)) =>  (r2_pboole(u1_struct_0(A), k4_msafree3(A, C, D), B) => m1_dtconstr(D, u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B))) ) ) ) ) ) ) ) ) ).
fof(t31_msafree3, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  => k1_msafree3(A, B)=k11_msafree(A, B)) ) ) ) ).
fof(t32_msafree3, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_dtconstr(C, u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B)) =>  (! [D] :  (m1_trees_1(D, k9_xtuple_0(C)) => r2_pboole(u1_struct_0(A), k4_msafree3(A, B, k8_msaterm(A, B, C, D)), k4_msafree3(A, B, C))) ) ) ) ) ) ) ) ).
fof(t33_msafree3, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (! [D] :  (m1_trees_1(D, k9_xtuple_0(C)) => m1_subset_1(k5_trees_2(C, D), k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))))) ) ) ) ) ) ) ) ).
fof(t34_msafree3, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_dtconstr(C, u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B)) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(k5_msafree(A, B)), k2_relset_1(u1_struct_0(k5_msafree(A, B)), C)) => D=k4_tarski(k1_xtuple_0(D), k2_xtuple_0(D))) ) ) ) ) ) ) ) ).
fof(t35_msafree3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  ( ~ (v3_relat_1(C))  &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) )  =>  (! [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(B, k1_msafree3(B, C)))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  ( (r2_tarski(A, k1_funct_1(k2_msafree3(B, D), E)) => r2_hidden(k4_tarski(A, E), k10_xtuple_0(D)))  &  (r2_hidden(k4_tarski(A, E), k10_xtuple_0(D)) =>  (r2_tarski(A, k1_funct_1(k2_msafree3(B, D), E)) & r2_tarski(A, k1_funct_1(C, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_msafree3, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (k1_funct_1(B, C)=k1_xboole_0 &  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  ~ ( (k2_msualg_1(A, D)=C & k1_msualg_1(A, D)=k1_xboole_0) ) ) ) ) ) ) )  => v4_msualg_1(k1_msafree3(A, B), A)) ) ) ) ) ).
fof(t37_msafree3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m1_msualg_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) => r1_tarski(k3_msualg_1(A, D, C), k3_msualg_1(A, D, B))) ) ) ) ) ) ) ) ).
fof(t38_msafree3, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_msualg_6(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_msualg_2(C, A, B) => v1_msualg_6(C, A)) ) ) ) ) ) ).
fof(t39_msafree3, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (v1_msualg_6(k1_msafree3(A, B), A) & v2_msafree(k1_msafree3(A, B), A)) ) ) ) ) ).
fof(dt_k1_msafree3, axiom,  (! [A, B] :  ( ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (v3_msualg_1(k1_msafree3(A, B), A) & l3_msualg_1(k1_msafree3(A, B), A)) ) ) ).
fof(dt_k2_msafree3, axiom,  (! [A, B] :  ( (l1_msualg_1(A) &  ( ~ (v1_xboole_0(B))  & v1_relat_1(B)) )  =>  (v1_relat_1(k2_msafree3(A, B)) &  (v4_relat_1(k2_msafree3(A, B), u1_struct_0(A)) &  (v1_funct_1(k2_msafree3(A, B)) & v1_partfun1(k2_msafree3(A, B), u1_struct_0(A))) ) ) ) ) ).
fof(dt_k3_msafree3, axiom,  (! [A, B, C] :  ( (l1_msualg_1(A) &  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  &  ( ~ (v1_xboole_0(C))  & v1_relat_1(C)) ) )  => m3_pboole(k3_msafree3(A, B, C), u1_struct_0(A), B)) ) ).
fof(dt_k4_msafree3, axiom,  (! [A, B, C] :  ( ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, k1_msaterm(A, B))) )  => m3_pboole(k4_msafree3(A, B, C), u1_struct_0(A), B)) ) ).
fof(dt_k5_msafree3, axiom,  (! [A, B, C] :  ( ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) ) )  => m3_pboole(k5_msafree3(A, B, C), u1_struct_0(A), u3_msualg_1(A, k11_msafree(A, B)))) ) ).
fof(d2_msafree3, axiom,  (! [A] :  (l1_msualg_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_relat_1(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) )  =>  (C=k2_msafree3(A, B) <=>  (! [D] :  (r2_hidden(D, u1_struct_0(A)) => k1_funct_1(C, D)=a_2_0_msafree3(B, D)) ) ) ) ) ) ) ) ) ).
fof(t9_msafree3, axiom,  (! [A] :  (l1_msualg_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v1_relat_1(C))  =>  (! [D] :  (m3_pboole(D, u1_struct_0(A), B) =>  (r6_pboole(u1_struct_0(A), D, k3_msafree3(A, B, C)) <=>  (! [E] :  (r2_tarski(E, u1_struct_0(A)) => k1_funct_1(D, E)=k3_xboole_0(k1_funct_1(B, E), a_2_0_msafree3(C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_msafree3, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) )  =>  (! [D] :  (m3_pboole(D, u1_struct_0(A), u3_msualg_1(A, k11_msafree(A, B))) =>  (D=k5_msafree3(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k1_funct_1(D, E)=a_4_0_msafree3(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_msafree3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & v1_relat_1(B))  =>  (r2_hidden(A, a_2_0_msafree3(B, C)) <=>  (? [D] :  (m1_subset_1(D, k10_xtuple_0(B)) &  (A=k1_xtuple_0(D) & k2_xtuple_0(D)=C) ) ) ) ) ) ).
fof(fraenkel_a_4_0_msafree3, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v11_struct_0(B))  &  (v1_instalg1(B) & l1_msualg_1(B)) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) )  &  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) & v1_partfun1(D, u1_struct_0(B))) ) )  & m1_subset_1(E, u1_struct_0(B))) ) )  =>  (r2_hidden(A, a_4_0_msafree3(B, C, D, E)) <=>  (? [F] :  (m1_dtconstr(F, u1_struct_0(k5_msafree(B, C)), k5_trees_3(u1_struct_0(k5_msafree(B, C))), k1_msaterm(B, C)) &  (A=F &  (k7_msaterm(B, C, F)=E & r2_pboole(u1_struct_0(B), k4_msafree3(B, C, F), D)) ) ) ) ) ) ) ).
fof(fc1_msafree4, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, k1_msaterm(A, B)) &  (v1_funct_1(C) & v1_partfun1(C, k1_msaterm(A, B))) ) )  &  (m1_subset_1(D, u4_struct_0(A)) & m1_msaterm(E, A, B, k2_msaterm(A, B, D))) ) ) )  =>  (v1_relat_1(k3_relat_1(E, C)) & v1_finseq_1(k3_relat_1(E, C))) ) ) ).
fof(fc2_msafree4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v6_trees_3(A)) )  => v3_trees_3(k10_xtuple_0(A))) ) ).
fof(rc1_msafree4, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v2_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v6_trees_3(A) & v4_card_3(A)) ) ) ) ) ) ) ) ) ) ).
fof(rc2_msafree4, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v2_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v4_trees_3(A) & v4_card_3(A)) ) ) ) ) ) ) ) ) ) ).
fof(fc3_msafree4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_finset_1(A) & v1_funcop_1(A)) ) )  =>  (v1_relat_1(k1_funct_6(A)) &  (v1_funct_1(k1_funct_6(A)) & v2_finset_1(k1_funct_6(A))) ) ) ) ).
fof(fc4_msafree4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_finset_1(A) &  (v1_finseq_1(A) & v4_trees_3(A)) ) ) )  =>  ( ~ (v1_xboole_0(k11_trees_3(A)))  &  (v1_finset_1(k11_trees_3(A)) & v1_trees_1(k11_trees_3(A))) ) ) ) ).
fof(fc5_msafree4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v3_trees_2(A)) ) )  => v5_finset_1(k3_trees_9(A))) ) ).
fof(fc6_msafree4, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_finset_1(A) &  (v1_finseq_1(A) & v6_trees_3(A)) ) ) )  =>  (v1_relat_1(k4_trees_4(B, A)) &  (v1_funct_1(k4_trees_4(B, A)) &  (v1_finset_1(k4_trees_4(B, A)) & v3_trees_2(k4_trees_4(B, A))) ) ) ) ) ).
fof(cc1_msafree4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k1_msaterm(A, B)) & v1_funct_1(C)) )  =>  (v1_relat_1(C) &  (v5_relat_1(C, k1_msaterm(A, B)) &  (v1_funct_1(C) & v2_finset_1(C)) ) ) ) ) ) ) ).
fof(fc7_msafree4, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  & m2_pboole(D, A, B, C)) )  =>  (v1_relat_1(k2_funct_6(D)) &  (v2_relat_1(k2_funct_6(D)) & v1_funct_1(k2_funct_6(D))) ) ) ) ).
fof(cc2_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(A, k3_equation(A)))) =>  (v1_relat_1(B) & v1_funct_1(B)) ) ) ) ) ).
fof(fc8_msafree4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  & m1_finseq_1(C, A))  =>  (v1_relat_1(k3_relat_1(C, B)) & v4_relat_1(k3_relat_1(C, B), k4_finseq_1(C))) ) ) ).
fof(fc9_msafree4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  & m1_finseq_1(C, A))  =>  (v1_relat_1(k3_relat_1(C, B)) &  (v4_relat_1(k3_relat_1(C, B), k4_finseq_1(C)) & v1_partfun1(k3_relat_1(C, B), k4_finseq_1(C))) ) ) ) ).
fof(cc3_msafree4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, k11_msafree(A, B)))) )  =>  (! [E] :  (m1_subset_1(E, k1_funct_1(C, D)) =>  (v1_relat_1(E) & v1_funct_1(E)) ) ) ) ) ).
fof(fc10_msafree4, axiom,  (! [A, B] :  (v4_card_3(B) =>  (v1_relat_1(k2_funcop_1(A, B)) &  (v4_relat_1(k2_funcop_1(A, B), A) &  (v1_funct_1(k2_funcop_1(A, B)) &  (v1_partfun1(k2_funcop_1(A, B), A) & v1_msafree4(k2_funcop_1(A, B), A)) ) ) ) ) ) ).
fof(rc3_msafree4, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_msafree4(B, A)) ) ) ) ) ) ) ).
fof(fc11_msafree4, axiom,  (! [A, B, C] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_msafree4(B, A)) ) ) )  => v4_card_3(k1_funct_1(B, C))) ) ).
fof(rc4_msafree4, axiom,  (! [A] :  (v4_card_3(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v2_funct_1(B) & v1_funct_2(B, A, k4_ordinal1)) ) ) ) ) ) ) ) ) ).
fof(rc5_msafree4, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_msafree4(B, A)) ) ) )  =>  (? [C] :  (m2_pboole(C, A, B, k7_funcop_1(A, k4_ordinal1)) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v1_funcop_1(C) &  (v2_funcop_1(C) & v1_msualg_3(C)) ) ) ) ) ) ) ) ) ) ).
fof(rc6_msafree4, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v12_pencil_1(B)) ) ) ) ) ) ) ).
fof(fc12_msafree4, axiom,  (! [A, B, C] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v12_pencil_1(B)) ) ) )  => v1_zfmisc_1(k1_funct_1(B, C))) ) ).
fof(rc7_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (? [B] :  (l3_msualg_1(B, A) &  (v3_msualg_1(B, A) &  (v4_msualg_1(B, A) &  (v1_msafree1(B, A) & v3_msafree4(B, A)) ) ) ) ) ) ) ).
fof(fc13_msafree4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v3_msafree4(B, A) & l3_msualg_1(B, A)) )  =>  (v1_relat_1(u3_msualg_1(A, B)) &  (v4_relat_1(u3_msualg_1(A, B), u1_struct_0(A)) &  (v1_funct_1(u3_msualg_1(A, B)) &  (v1_partfun1(u3_msualg_1(A, B), u1_struct_0(A)) & v12_pencil_1(u3_msualg_1(A, B))) ) ) ) ) ) ).
fof(cc4_msafree4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (l3_msualg_1(C, A) =>  (v4_msafree4(C, A, B) => v4_msualg_1(C, A)) ) ) ) ) ).
fof(rc8_msafree4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  (? [C] :  (l3_msualg_1(C, A) &  (v3_msualg_1(C, A) &  (v4_msualg_1(C, A) &  (v1_msualg_6(C, A) &  ( ~ (v1_catalg_1(C, A))  & v4_msafree4(C, A, B)) ) ) ) ) ) ) ) ).
fof(rc9_msafree4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  (? [C] :  (l3_msualg_1(C, A) &  (v4_msualg_1(C, A) &  (v1_msafree1(C, A) &  (v1_msualg_6(C, A) &  ( ~ (v1_catalg_1(C, A))  &  (v3_msafree4(C, A) & v4_msafree4(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(fc14_msafree4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (v3_msualg_1(k1_msafree3(A, B), A) & v5_msafree4(k1_msafree3(A, B), A, B)) ) ) ).
fof(fc15_msafree4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (v3_msualg_1(k1_msafree3(A, B), A) &  (v4_msualg_1(k1_msafree3(A, B), A) & v1_msafree1(k1_msafree3(A, B), A)) ) ) ) ).
fof(rc10_msafree4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (? [C] :  (l3_msualg_1(C, A) &  (v3_msualg_1(C, A) &  (v4_msualg_1(C, A) & v5_msafree4(C, A, B)) ) ) ) ) ) ).
fof(rc11_msafree4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  (? [C] :  (m1_msafree(C, A, B) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) ) ) ) ) ) ) ).
fof(fc16_msafree4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (v3_msualg_1(k1_msafree3(A, B), A) &  (v6_msafree4(k1_msafree3(A, B), A, B) &  (v7_msafree4(k1_msafree3(A, B), A, B) & v8_msafree4(k1_msafree3(A, B), A, B)) ) ) ) ) ).
fof(cc5_msafree4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (! [C] :  (l3_msualg_1(C, A) =>  ( (v5_msafree4(C, A, B) & v6_msafree4(C, A, B))  =>  (v4_msualg_1(C, A) & v5_msafree4(C, A, B)) ) ) ) ) ) ).
fof(rc12_msafree4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (? [C] :  (l3_msualg_1(C, A) &  (v3_msualg_1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) & v8_msafree4(C, A, B)) ) ) ) ) ) ) ) ).
fof(rc13_msafree4, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) ) ) ) ).
fof(cc6_msafree4, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) )  =>  (! [C] :  (m3_pboole(C, A, B) => v1_prob_2(C)) ) ) ) ).
fof(rc14_msafree4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (? [C] :  (l3_msualg_1(C, A) &  (v3_msualg_1(C, A) & v5_msafree4(C, A, B)) ) ) ) ) ).
fof(cc7_msafree4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, C))) =>  (v1_relat_1(D) & v1_funct_1(D)) ) ) ) ) ).
fof(cc8_msafree4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) & l3_msualg_1(C, A)) )  & m1_subset_1(D, u1_struct_0(A))) ) )  =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, C), D)) =>  (v1_relat_1(E) & v1_funct_1(E)) ) ) ) ) ).
fof(cc9_msafree4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, C))) => v3_trees_2(D)) ) ) ) ).
fof(cc10_msafree4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) & l3_msualg_1(C, A)) )  & m1_subset_1(D, u1_struct_0(A))) ) )  =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, C), D)) => v3_trees_2(E)) ) ) ) ).
fof(cc11_msafree4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (! [C] :  (l3_msualg_1(C, A) =>  (v5_msafree4(C, A, B) => v1_msafree1(C, A)) ) ) ) ) ).
fof(rc15_msafree4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  & m3_pboole(B, u1_struct_0(A), k4_equation(A)))  =>  (? [C] :  (l3_msualg_1(C, A) &  (v4_msualg_1(C, A) &  (v3_msafree4(C, A) & v9_msafree4(C, A, B)) ) ) ) ) ) ).
fof(cc12_msafree4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (m3_pboole(B, u1_struct_0(A), k4_equation(A)) &  (v4_msualg_1(C, A) &  (v9_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (l3_msualg_1(D, A) =>  ( (v4_msualg_1(D, A) & v4_msafree4(D, A, C))  =>  (v4_msualg_1(D, A) & v9_msafree4(D, A, B)) ) ) ) ) ) ).
fof(cc13_msafree4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (l3_msualg_1(C, A) =>  (v4_msafree4(C, A, B) =>  (v4_msafree4(C, A, B) & v9_msafree4(C, A, k5_msafree4(A, B))) ) ) ) ) ) ).
fof(cc14_msafree4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v2_relat_1(C) & m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B))))  & m1_subset_1(D, u1_struct_0(A))) ) )  =>  (! [E] :  (m1_subset_1(E, k1_msafree4(u1_struct_0(A), C, D)) =>  (v1_relat_1(E) & v1_funct_1(E)) ) ) ) ) ).
fof(cc15_msafree4, axiom,  (! [A] :  (v1_xboole_0(A) =>  (v1_xboole_0(A) &  (v3_rewrite1(A) & v4_rewrite1(A)) ) ) ) ).
fof(cc16_msafree4, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_msualg_4(C, A, B, B) =>  (v3_relat_1(C) =>  (v12_msafree4(C, A, B) & v13_msafree4(C, A, B)) ) ) ) ) ) ).
fof(rc16_msafree4, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (? [C] :  (m1_msualg_4(C, A, B, B) &  (v1_relat_1(C) &  (v3_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v2_funcop_1(C)) ) ) ) ) ) ) ) ) ).
fof(fc17_msafree4, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v12_msafree4(C, A, B) & m1_msualg_4(C, A, B, B)) )  =>  (v1_relat_1(k1_funct_1(C, D)) & v3_rewrite1(k1_funct_1(C, D))) ) ) ).
fof(fc18_msafree4, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v13_msafree4(C, A, B) & m1_msualg_4(C, A, B, B)) )  =>  (v1_relat_1(k1_funct_1(C, D)) & v4_rewrite1(k1_funct_1(C, D))) ) ) ).
fof(cc17_msafree4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (! [C] :  (m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, k1_msafree3(A, B))) =>  (v3_relat_1(C) =>  (v3_msualg_6(C, A, k1_msafree3(A, B)) &  (v4_msualg_6(C, A, k1_msafree3(A, B)) & v14_msafree4(C, A, B)) ) ) ) ) ) ) ).
fof(rc17_msafree4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (? [C] :  (m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, k1_msafree3(A, B))) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) &  (v2_funcop_1(C) &  (v3_msualg_6(C, A, k1_msafree3(A, B)) &  (v4_msualg_6(C, A, k1_msafree3(A, B)) &  (v12_msafree4(C, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B))) &  (v13_msafree4(C, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B))) & v14_msafree4(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc19_msafree4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (v3_msualg_6(C, A, k1_msafree3(A, B)) &  (v4_msualg_6(C, A, k1_msafree3(A, B)) &  (v12_msafree4(C, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B))) &  (v13_msafree4(C, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B))) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, k1_msafree3(A, B)))) ) ) ) ) )  =>  (v3_msualg_1(k10_msafree4(A, B, C), A) &  (v4_msualg_1(k10_msafree4(A, B, C), A) & v5_msafree4(k10_msafree4(A, B, C), A, B)) ) ) ) ).
fof(fc20_msafree4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (v3_msualg_6(C, A, k1_msafree3(A, B)) &  (v4_msualg_6(C, A, k1_msafree3(A, B)) &  (v12_msafree4(C, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B))) &  (v13_msafree4(C, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B))) &  (v14_msafree4(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, k1_msafree3(A, B)))) ) ) ) ) ) )  =>  (v3_msualg_1(k10_msafree4(A, B, C), A) &  (v4_msualg_1(k10_msafree4(A, B, C), A) &  (v6_msafree4(k10_msafree4(A, B, C), A, B) &  (v7_msafree4(k10_msafree4(A, B, C), A, B) & v8_msafree4(k10_msafree4(A, B, C), A, B)) ) ) ) ) ) ).
fof(t1_msafree4, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r2_pboole(A, B, C) => r1_tarski(k3_card_3(B), k3_card_3(C))) ) ) ) ) ) ).
fof(t2_msafree4, axiom,  (! [A] : k3_trees_9(k1_trees_4(A))=k1_tarski(k1_trees_4(A))) ).
fof(t3_msafree4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v6_trees_3(B)) ) ) )  => k3_trees_9(k4_trees_4(A, B))=k2_xboole_0(k1_tarski(k4_trees_4(A, B)), k9_trees_9(k10_xtuple_0(B)))) ) ) ).
fof(t4_msafree4, axiom,  (! [A] : k3_trees_9(k4_trees_4(A, k1_xboole_0))=k1_tarski(k4_trees_4(A, k1_xboole_0))) ).
fof(t5_msafree4, axiom,  (! [A] : k4_trees_4(A, k1_xboole_0)=k1_trees_4(A)) ).
fof(t6_msafree4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v3_trees_2(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) & v3_trees_2(B)) ) )  =>  (r2_tarski(A, k3_trees_9(B)) => r1_xxreal_0(k6_trees_1(k9_xtuple_0(A)), k6_trees_1(k9_xtuple_0(B)))) ) ) ) ) ).
fof(t7_msafree4, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) & v6_trees_3(C)) ) )  =>  (v2_finset_1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v3_trees_2(D)) )  =>  ~ ( (r2_tarski(A, k3_trees_9(D)) &  (r2_tarski(D, k10_xtuple_0(C)) & A=k4_trees_4(B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t8_msafree4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v3_trees_3(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_trees_2(B)) )  =>  (r2_tarski(B, A) => r1_tarski(k3_trees_9(B), k9_trees_9(A))) ) ) ) ) ).
fof(t9_msafree4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v3_trees_3(A))  => r1_tarski(A, k9_trees_9(A))) ) ).
fof(t10_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_dtconstr(C, u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B)) =>  (! [D] :  (r2_tarski(D, k5_trees_9(u1_struct_0(k5_msafree(A, B)), C)) => m1_dtconstr(D, u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B))) ) ) ) ) ) ) ) ).
fof(t11_msafree4, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v6_trees_3(B)) ) )  => r1_tarski(k10_xtuple_0(B), k3_trees_9(k4_trees_4(A, B)))) ) ) ).
fof(t12_msafree4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_trees_2(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_trees_2(B)) )  =>  (r2_tarski(A, k3_trees_9(B)) => r1_tarski(k3_trees_9(A), k3_trees_9(B))) ) ) ) ) ).
fof(t13_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (r2_tarski(D, k3_msualg_1(A, C, k1_msafree3(A, B))) => k1_funct_1(k5_msualg_1(A, C, k1_msafree3(A, B)), D)=k4_trees_4(k4_tarski(C, u1_struct_0(A)), D)) ) ) ) ) ) ) ) ) ).
fof(t14_msafree4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r2_pboole(A, C, D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  => r2_pboole(B, k3_msafree4(A, B, E, C), k3_msafree4(A, B, E, D))) ) ) ) ) ) ) ) ) ) ).
fof(t15_msafree4, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r2_pboole(A, B, C) =>  (! [D] :  (m2_finseq_1(D, A) => r2_pboole(k4_finseq_1(D), k3_relat_1(D, B), k3_relat_1(D, C))) ) ) ) ) ) ) ) ).
fof(t16_msafree4, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r2_pboole(A, B, C) => r1_tarski(k4_card_3(B), k4_card_3(C))) ) ) ) ) ) ).
fof(t17_msafree4, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v2_rewrite1(B) & v4_rewrite1(B)) )  =>  (r3_rewrite1(B, A) => k2_rewrite1(B, A)=A) ) ) ) ).
fof(t18_msafree4, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v2_rewrite1(B) & v4_rewrite1(B)) )  => k2_rewrite1(B, k2_rewrite1(B, A))=k2_rewrite1(B, A)) ) ) ).
fof(d1_msafree4, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v1_msafree4(B, A) <=>  (! [C] :  (r2_tarski(C, A) => v4_card_3(k1_funct_1(B, C))) ) ) ) ) ) ).
fof(t19_msafree4, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  (m2_pboole(D, A, B, C) => m3_pboole(k2_funct_6(D), A, C)) ) ) ) ) ) ) ).
fof(t20_msafree4, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_msafree4(B, A)) ) ) )  =>  (? [C] :  (m3_pboole(C, A, k7_funcop_1(A, k4_ordinal1)) &  (? [D] :  (m2_pboole(D, A, B, k7_funcop_1(A, k4_ordinal1)) &  (v1_msualg_3(D) &  (r6_pboole(A, C, k2_funct_6(D)) &  (! [E] :  (r2_tarski(E, A) =>  ( (v1_funct_1(k2_msafree4(A, B, k7_funcop_1(A, k4_ordinal1), D, E)) &  (v2_funct_1(k2_msafree4(A, B, k7_funcop_1(A, k4_ordinal1), D, E)) &  (v1_funct_2(k2_msafree4(A, B, k7_funcop_1(A, k4_ordinal1), D, E), k1_funct_1(B, E), k1_card_1(k1_funct_1(B, E))) &  (v2_funct_2(k2_msafree4(A, B, k7_funcop_1(A, k4_ordinal1), D, E), k1_card_1(k1_funct_1(B, E))) & m1_subset_1(k2_msafree4(A, B, k7_funcop_1(A, k4_ordinal1), D, E), k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(B, E), k1_card_1(k1_funct_1(B, E)))))) ) ) )  & k1_funct_1(C, E)=k1_card_1(k1_funct_1(B, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_msafree4, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  => r1_pzfmisc1(A, B, C)) ) ) ) ) ).
fof(t22_msafree4, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) ) )  =>  (! [E] :  (m2_pboole(E, A, B, C) =>  (m3_pboole(C, A, D) => m2_pboole(E, A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t23_msafree4, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r1_pzfmisc1(A, B, C) =>  (! [D] :  (m2_pboole(D, A, B, C) =>  ~ ( (v2_msualg_3(D, A, B, C) &  (! [E] :  (m2_pboole(E, A, C, B) =>  ~ (r6_pboole(A, k8_pboole(E, D), k2_msualg_3(A, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (l3_msualg_1(C, A) =>  (g3_msualg_1(A, u3_msualg_1(A, B), u4_msualg_1(A, B))=g3_msualg_1(A, u3_msualg_1(A, C), u4_msualg_1(A, C)) =>  (! [D] :  (m3_pboole(D, u1_struct_0(A), u3_msualg_1(A, B)) =>  (! [E] :  (m3_pboole(E, u1_struct_0(A), u3_msualg_1(A, C)) =>  (r8_pboole(u1_struct_0(A), D, E) =>  (! [F] :  (m1_subset_1(F, u4_struct_0(A)) =>  (r1_msualg_2(A, B, F, D) => r1_msualg_2(A, C, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (l3_msualg_1(C, A) =>  (g3_msualg_1(A, u3_msualg_1(A, B), u4_msualg_1(A, B))=g3_msualg_1(A, u3_msualg_1(A, C), u4_msualg_1(A, C)) =>  (! [D] :  (m3_pboole(D, u1_struct_0(A), u3_msualg_1(A, B)) =>  (! [E] :  (m3_pboole(E, u1_struct_0(A), u3_msualg_1(A, C)) =>  (r8_pboole(u1_struct_0(A), D, E) =>  (! [F] :  (m1_subset_1(F, u4_struct_0(A)) =>  (r1_msualg_2(A, B, F, D) => k3_msualg_2(A, C, F, E)=k3_msualg_2(A, B, F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (l3_msualg_1(C, A) =>  (g3_msualg_1(A, u3_msualg_1(A, B), u4_msualg_1(A, B))=g3_msualg_1(A, u3_msualg_1(A, C), u4_msualg_1(A, C)) =>  (! [D] :  (m3_pboole(D, u1_struct_0(A), u3_msualg_1(A, B)) =>  (! [E] :  (m3_pboole(E, u1_struct_0(A), u3_msualg_1(A, C)) =>  ( (r8_pboole(u1_struct_0(A), D, E) & v3_msualg_2(D, A, B))  => r8_pboole(u4_struct_0(A), k4_msualg_2(A, C, E), k4_msualg_2(A, B, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (l3_msualg_1(C, A) =>  (g3_msualg_1(A, u3_msualg_1(A, B), u4_msualg_1(A, B))=g3_msualg_1(A, u3_msualg_1(A, C), u4_msualg_1(A, C)) =>  (! [D] :  (m3_pboole(D, u1_struct_0(A), u3_msualg_1(A, B)) =>  (! [E] :  (m3_pboole(E, u1_struct_0(A), u3_msualg_1(A, C)) =>  ( (r8_pboole(u1_struct_0(A), D, E) & v3_msualg_2(D, A, B))  => v3_msualg_2(E, A, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (l3_msualg_1(D, A) =>  (g3_msualg_1(A, u3_msualg_1(A, B), u4_msualg_1(A, B))=g3_msualg_1(A, u3_msualg_1(A, C), u4_msualg_1(A, C)) =>  (! [E] :  (m1_msualg_2(E, A, B) =>  (g3_msualg_1(A, u3_msualg_1(A, D), u4_msualg_1(A, D))=g3_msualg_1(A, u3_msualg_1(A, E), u4_msualg_1(A, E)) => m1_msualg_2(D, A, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (l3_msualg_1(C, A) =>  (v1_catalg_1(C, A) =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) => r1_msualg_3(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t30_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (l3_msualg_1(D, A) =>  (! [E] :  ( (v4_msualg_1(E, A) & l3_msualg_1(E, A))  =>  ( (g3_msualg_1(A, u3_msualg_1(A, B), u4_msualg_1(A, B))=g3_msualg_1(A, u3_msualg_1(A, C), u4_msualg_1(A, C)) & g3_msualg_1(A, u3_msualg_1(A, D), u4_msualg_1(A, D))=g3_msualg_1(A, u3_msualg_1(A, E), u4_msualg_1(A, E)))  =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, D)) =>  (! [G] :  (m2_pboole(G, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, E)) =>  ( (r8_pboole(u1_struct_0(A), F, G) & r1_msualg_3(A, B, D, F))  => r1_msualg_3(A, C, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_msafree4, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v12_pencil_1(B) <=>  (! [C] :  (r2_tarski(C, A) => v1_zfmisc_1(k1_funct_1(B, C))) ) ) ) ) ) ).
fof(d3_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (v3_msafree4(B, A) <=> v12_pencil_1(u3_msualg_1(A, B))) ) ) ) ) ).
fof(t31_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v3_msafree4(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), k4_equation(A), k1_msafree4(u1_struct_0(A), k4_equation(A), C)) => r1_equation(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t32_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v3_msafree4(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m3_pboole(C, u1_struct_0(A), k4_equation(A)) => r2_equation(A, B, C)) ) ) ) ) ) ).
fof(t33_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v3_msafree4(C, A) & l3_msualg_1(C, A)) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) => r1_msualg_3(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t34_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v3_msafree4(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v4_msualg_1(C, A) & m1_msualg_2(C, A, B))  => g3_msualg_1(A, u3_msualg_1(A, C), u4_msualg_1(A, C))=g3_msualg_1(A, u3_msualg_1(A, B), u4_msualg_1(A, B))) ) ) ) ) ) ).
fof(d4_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (l3_msualg_1(C, A) =>  (v4_msafree4(C, A, B) <=>  (? [D] :  ( (v4_msualg_1(D, A) & l3_msualg_1(D, A))  &  (? [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, D)) &  (r1_msualg_3(A, B, D, E) & g3_msualg_1(A, u3_msualg_1(A, C), u4_msualg_1(A, C))=k6_msualg_3(A, B, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (v4_msafree4(C, A, B) <=>  (? [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) & r2_msualg_3(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t35_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msafree4(C, A, B) & l3_msualg_1(C, A))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), k4_equation(A), k1_msafree4(u1_struct_0(A), k4_equation(A), D)) =>  (r1_equation(A, B, D, E) => r1_equation(A, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msafree4(C, A, B) & l3_msualg_1(C, A))  =>  (! [D] :  (m3_pboole(D, u1_struct_0(A), k4_equation(A)) =>  (r2_equation(A, B, D) => r2_equation(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(d6_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (l3_msualg_1(C, A) =>  (v5_msafree4(C, A, B) <=> m3_pboole(u3_msualg_1(A, C), u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)))) ) ) ) ) ) ) ).
fof(d7_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) & l3_msualg_1(C, A))  =>  (v6_msafree4(C, A, B) <=> m3_pboole(k13_msafree(A, B), u1_struct_0(A), u3_msualg_1(A, C))) ) ) ) ) ) ) ).
fof(d8_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) & l3_msualg_1(C, A))  =>  (v7_msafree4(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  ( (r2_tarski(E, k3_msualg_1(A, D, k1_msafree3(A, B))) & r2_tarski(k1_funct_1(k5_msualg_1(A, D, k1_msafree3(A, B)), E), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, C), k2_msualg_1(A, D))))  =>  (r2_tarski(E, k3_msualg_1(A, D, C)) & k1_funct_1(k5_msualg_1(A, D, C), E)=k1_funct_1(k5_msualg_1(A, D, k1_msafree3(A, B)), E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) & l3_msualg_1(C, A))  =>  (v8_msafree4(C, A, B) <=>  (! [D] :  (m2_pboole(D, u1_struct_0(A), k13_msafree(A, B), u3_msualg_1(A, C)) =>  (! [E] :  (m3_pboole(E, u1_struct_0(A), u3_msualg_1(A, C)) =>  ~ ( (r8_pboole(u1_struct_0(A), E, k13_msafree(A, B)) &  (! [F] :  (m2_pboole(F, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, C)) =>  ~ ( (r1_msualg_3(A, C, C, F) & r8_pboole(u1_struct_0(A), D, k1_msafree(u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, C), E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  ( (v4_msualg_1(D, A) & l3_msualg_1(D, A))  =>  ( (g3_msualg_1(A, u3_msualg_1(A, C), u4_msualg_1(A, C))=g3_msualg_1(A, u3_msualg_1(A, D), u4_msualg_1(A, D)) & v5_msafree4(C, A, B))  => v5_msafree4(D, A, B)) ) ) ) ) ) ) ) ) ).
fof(t38_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) & l3_msualg_1(C, A)) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v5_msafree4(D, A, B) & l3_msualg_1(D, A)) )  =>  (g3_msualg_1(A, u3_msualg_1(A, C), u4_msualg_1(A, C))=g3_msualg_1(A, u3_msualg_1(A, D), u4_msualg_1(A, D)) =>  ( (v6_msafree4(C, A, B) => v6_msafree4(D, A, B))  &  ( (v7_msafree4(C, A, B) => v7_msafree4(D, A, B))  &  (v8_msafree4(C, A, B) => v8_msafree4(D, A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) & l3_msualg_1(C, A)) )  =>  ( (! [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, C))) => m1_subset_1(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))))) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, C), D)) => m1_subset_1(E, k1_funct_1(u3_msualg_1(A, k1_msafree3(A, B)), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) & l3_msualg_1(C, A)) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), B, k1_msafree4(u1_struct_0(A), B, D)) => m1_subset_1(k1_trees_4(k4_tarski(E, D)), k1_funct_1(u3_msualg_1(A, C), D))) ) ) ) ) ) ) ) ) ) ).
fof(t41_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) & l3_msualg_1(C, A)) )  =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) => r1_tarski(k3_msualg_1(A, D, C), k3_msualg_1(A, D, k1_msafree3(A, B)))) ) ) ) ) ) ) ) ).
fof(d10_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) & l3_msualg_1(C, A)) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, C)) =>  (D=k4_msafree4(A, B, C) <=>  (r1_msualg_3(A, k1_msafree3(A, B), C, D) &  (! [E] :  (m1_msafree(E, A, k1_msafree3(A, B)) =>  (r8_pboole(u1_struct_0(A), E, k13_msafree(A, B)) => r8_pboole(u1_struct_0(A), k2_msualg_3(u1_struct_0(A), E), k1_msafree(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, C), E, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) & l3_msualg_1(C, A)) )  =>  (! [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, C))) => m1_dtconstr(D, u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B))) ) ) ) ) ) ) ) ).
fof(t43_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) & l3_msualg_1(C, A)) )  =>  (! [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(D, k1_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), E)) => r2_tarski(D, k1_msafree4(u1_struct_0(A), u3_msualg_1(A, C), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) & l3_msualg_1(C, A)) ) )  =>  (! [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, C))) =>  (! [E] :  (m1_trees_1(E, k9_xtuple_0(D)) => m1_subset_1(k5_trees_2(D, E), k3_card_3(u3_msualg_1(A, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t45_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) & l3_msualg_1(C, A)) ) )  => m1_msafree(k13_msafree(A, B), A, C)) ) ) ) ) ) ).
fof(t46_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v4_msafree4(D, A, C) & l3_msualg_1(D, A)) )  =>  (! [E] :  (m1_msafree(E, A, C) =>  (r8_pboole(u1_struct_0(A), E, k13_msafree(A, B)) =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), E, u3_msualg_1(A, D)) =>  (? [G] :  (m2_pboole(G, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D)) &  (r1_msualg_3(A, C, D, G) & r8_pboole(u1_struct_0(A), F, k1_msafree(u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D), E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) & l3_msualg_1(C, A)) ) )  =>  (r2_msualg_3(A, k1_msafree3(A, B), C, k4_msafree4(A, B, C)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, C), D)) => k1_funct_1(k2_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, C), k4_msafree4(A, B, C), D), E)=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) & l3_msualg_1(C, A)) ) )  => r8_pboole(u1_struct_0(A), k8_pboole(k4_msafree4(A, B, C), k4_msafree4(A, B, C)), k4_msafree4(A, B, C))) ) ) ) ) ) ).
fof(t49_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  => v4_msafree4(C, A, k1_msafree3(A, B))) ) ) ) ) ) ).
fof(t50_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_funct_1(u3_msualg_1(A, k3_equation(A)), C)) => r1_equation(A, B, C, k5_equation(A, C, D, D))) ) ) ) ) ) ) ) ).
fof(t51_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_funct_1(u3_msualg_1(A, k3_equation(A)), C)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, k3_equation(A)), C)) =>  (r1_equation(A, B, C, k5_equation(A, C, D, E)) => r1_equation(A, B, C, k5_equation(A, C, E, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_funct_1(u3_msualg_1(A, k3_equation(A)), C)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, k3_equation(A)), C)) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, k3_equation(A)), C)) =>  ( (r1_equation(A, B, C, k5_equation(A, C, D, E)) & r1_equation(A, B, C, k5_equation(A, C, E, F)))  => r1_equation(A, B, C, k5_equation(A, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  ( (r2_tarski(D, k3_msualg_1(A, C, k3_equation(A))) &  (r2_tarski(E, k3_msualg_1(A, C, k3_equation(A))) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k4_finseq_1(k1_msualg_1(A, C))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (G=k1_funct_1(k1_msualg_1(A, C), F) =>  (! [H] :  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, k3_equation(A)), G)) =>  (! [I] :  (m1_subset_1(I, k1_funct_1(u3_msualg_1(A, k3_equation(A)), G)) =>  ( (H=k1_funct_1(D, F) & I=k1_funct_1(E, F))  => r1_equation(A, B, G, k5_equation(A, G, H, I))) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, k3_equation(A)), k2_msualg_1(A, C))) =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, k3_equation(A)), k2_msualg_1(A, C))) =>  ( (F=k4_trees_4(k4_tarski(C, u1_struct_0(A)), D) & G=k4_trees_4(k4_tarski(C, u1_struct_0(A)), E))  => r1_equation(A, B, k2_msualg_1(A, C), k5_equation(A, k2_msualg_1(A, C), F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m3_pboole(B, u1_struct_0(A), k4_equation(A)) =>  (! [C] :  (l3_msualg_1(C, A) =>  (v9_msafree4(C, A, B) <=> r2_equation(A, C, B)) ) ) ) ) ) ) ).
fof(d12_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m3_pboole(C, u1_struct_0(A), k4_equation(A)) =>  (! [D] :  (m1_msafree(D, A, B) =>  (v10_msafree4(D, A, B, C) <=>  (! [E] :  ( (v4_msualg_1(E, A) &  (v9_msafree4(E, A, C) & l3_msualg_1(E, A)) )  =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), D, u3_msualg_1(A, E)) =>  (? [G] :  (m2_pboole(G, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, E)) &  (r1_msualg_3(A, B, E, G) & r8_pboole(u1_struct_0(A), k1_msafree(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, E), D, G), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m3_pboole(B, u1_struct_0(A), k4_equation(A)) =>  (! [C] :  (l3_msualg_1(C, A) =>  (v11_msafree4(C, A, B) <=>  (? [D] :  (m1_msafree(D, A, C) & v10_msafree4(D, A, C, B)) ) ) ) ) ) ) ) ) ).
fof(t54_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) => r2_equation(A, B, k5_msafree4(A, B))) ) ) ) ).
fof(d15_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m2_pboole(C, u1_struct_0(A), B, k7_funcop_1(u1_struct_0(A), k4_ordinal1)) =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (! [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(A, k3_equation(A)))) =>  (E=k6_msafree4(A, B, C, D) <=>  (? [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, k1_msaterm(A, B)) &  (v1_funct_1(F) & v1_partfun1(F, k1_msaterm(A, B))) ) )  &  (E=k1_funct_1(F, D) &  ( (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_msafree4(H, u1_struct_0(A), B, k1_msafree4(u1_struct_0(A), B, G)) => k1_funct_1(F, k1_trees_4(k4_tarski(H, G)))=k1_trees_4(k4_tarski(k3_funct_2(k1_msafree4(u1_struct_0(A), B, G), k1_funct_1(k7_funcop_1(u1_struct_0(A), k4_ordinal1), G), k2_msafree4(u1_struct_0(A), B, k7_funcop_1(u1_struct_0(A), k4_ordinal1), C, G), H), G))) ) ) )  &  (! [G] :  (m1_subset_1(G, u4_struct_0(A)) =>  (! [H] :  (m1_msaterm(H, A, B, k2_msaterm(A, B, G)) => k1_msafree4(k1_msaterm(A, B), F, k6_msaterm(A, B, k2_msaterm(A, B, G), H))=k4_trees_4(k2_msaterm(A, k7_funcop_1(u1_struct_0(A), k4_ordinal1), G), k3_relat_1(H, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m2_pboole(C, u1_struct_0(A), B, k7_funcop_1(u1_struct_0(A), k4_ordinal1)) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k1_msaterm(A, B)) &  (v1_funct_1(D) & v1_partfun1(D, k1_msaterm(A, B))) ) )  =>  ( ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_msafree4(F, u1_struct_0(A), B, k1_msafree4(u1_struct_0(A), B, E)) => k1_funct_1(D, k1_trees_4(k4_tarski(F, E)))=k1_trees_4(k4_tarski(k3_funct_2(k1_msafree4(u1_struct_0(A), B, E), k1_funct_1(k7_funcop_1(u1_struct_0(A), k4_ordinal1), E), k2_msafree4(u1_struct_0(A), B, k7_funcop_1(u1_struct_0(A), k4_ordinal1), C, E), F), E))) ) ) )  &  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (! [F] :  (m1_msaterm(F, A, B, k2_msaterm(A, B, E)) => k1_msafree4(k1_msaterm(A, B), D, k6_msaterm(A, B, k2_msaterm(A, B, E), F))=k4_trees_4(k2_msaterm(A, k7_funcop_1(u1_struct_0(A), k4_ordinal1), E), k3_relat_1(F, D))) ) ) ) )  =>  (! [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) => k1_funct_1(D, E)=k6_msafree4(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m2_pboole(C, u1_struct_0(A), B, k7_funcop_1(u1_struct_0(A), k4_ordinal1)) =>  (? [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, k3_equation(A))) &  (r1_msualg_3(A, k1_msafree3(A, B), k3_equation(A), D) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, k1_msafree3(A, B)), E)) => k6_msafree4(A, B, C, F)=k3_funct_2(k1_funct_1(u3_msualg_1(A, k1_msafree3(A, B)), E), k1_funct_1(u3_msualg_1(A, k3_equation(A)), E), k2_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, k3_equation(A)), D, E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m2_pboole(C, u1_struct_0(A), B, k7_funcop_1(u1_struct_0(A), k4_ordinal1)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), B, k1_msafree4(u1_struct_0(A), B, D)) => k6_msafree4(A, B, C, k1_trees_4(k4_tarski(E, D)))=k1_trees_4(k4_tarski(k3_funct_2(k1_msafree4(u1_struct_0(A), B, D), k1_funct_1(k7_funcop_1(u1_struct_0(A), k4_ordinal1), D), k2_msafree4(u1_struct_0(A), B, k7_funcop_1(u1_struct_0(A), k4_ordinal1), C, D), E), D))) ) ) ) ) ) ) ) ) ) ).
fof(t58_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m2_pboole(C, u1_struct_0(A), B, k7_funcop_1(u1_struct_0(A), k4_ordinal1)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_msaterm(E, A, B, k2_msaterm(A, B, D)) =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) )  =>  ( (k4_finseq_1(F)=k4_finseq_1(E) &  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (m1_subset_1(H, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  ( (r2_tarski(G, k4_finseq_1(E)) & H=k1_funct_1(E, G))  => k1_funct_1(F, G)=k6_msafree4(A, B, C, H)) ) ) ) ) )  => k6_msafree4(A, B, C, k6_msaterm(A, B, k2_msaterm(A, B, D), E))=k4_trees_4(k2_msaterm(A, k7_funcop_1(u1_struct_0(A), k4_ordinal1), D), F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m3_pboole(C, u1_struct_0(A), B) => m1_msualg_2(k1_msafree3(A, C), A, k1_msafree3(A, B))) ) ) ) ) ) ).
fof(t60_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m2_pboole(C, u1_struct_0(A), B, k7_funcop_1(u1_struct_0(A), k4_ordinal1)) =>  (! [D] :  (m1_dtconstr(D, u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B)) =>  (m1_subset_1(k6_msafree4(A, B, C, D), k1_funct_1(u3_msualg_1(A, k1_msafree3(A, k2_funct_6(C))), k7_msaterm(A, B, D))) & m1_subset_1(k6_msafree4(A, B, C, D), k1_funct_1(u3_msualg_1(A, k3_equation(A)), k7_msaterm(A, B, D)))) ) ) ) ) ) ) ) ) ).
fof(t61_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m2_pboole(C, u1_struct_0(A), B, k7_funcop_1(u1_struct_0(A), k4_ordinal1)) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k1_msaterm(A, B)) &  (v1_funct_1(D) & v1_partfun1(D, k1_msaterm(A, B))) ) )  =>  ( ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_msafree4(F, u1_struct_0(A), B, k1_msafree4(u1_struct_0(A), B, E)) => k1_funct_1(D, k1_trees_4(k4_tarski(F, E)))=k1_trees_4(k4_tarski(k3_funct_2(k1_msafree4(u1_struct_0(A), B, E), k1_funct_1(k7_funcop_1(u1_struct_0(A), k4_ordinal1), E), k2_msafree4(u1_struct_0(A), B, k7_funcop_1(u1_struct_0(A), k4_ordinal1), C, E), F), E))) ) ) )  &  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (! [F] :  (m1_msaterm(F, A, B, k2_msaterm(A, B, E)) => k1_msafree4(k1_msaterm(A, B), D, k6_msaterm(A, B, k2_msaterm(A, B, E), F))=k4_trees_4(k2_msaterm(A, k7_funcop_1(u1_struct_0(A), k4_ordinal1), E), k3_relat_1(F, D))) ) ) ) )  =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (! [F] :  (m1_msaterm(F, A, B, k2_msaterm(A, B, E)) =>  (r2_tarski(k3_relat_1(F, D), k3_msualg_1(A, E, k1_msafree3(A, k2_funct_6(C)))) & r2_tarski(k3_relat_1(F, D), k3_msualg_1(A, E, k1_msafree3(A, k7_funcop_1(u1_struct_0(A), k4_ordinal1))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), k7_funcop_1(u1_struct_0(A), k4_ordinal1), B) =>  (? [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, k3_equation(A)), u3_msualg_1(A, C)) &  (r1_msualg_3(A, k3_equation(A), C, E) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (v7_ordinal1(G) => k1_funct_1(k2_msafree4(u1_struct_0(A), u3_msualg_1(A, k3_equation(A)), u3_msualg_1(A, C), E, F), k1_trees_4(k4_tarski(G, F)))=k1_trees_4(k4_tarski(k1_funct_1(k2_msafree4(u1_struct_0(A), k7_funcop_1(u1_struct_0(A), k4_ordinal1), B, D, F), G), F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m2_pboole(C, u1_struct_0(A), B, k7_funcop_1(u1_struct_0(A), k4_ordinal1)) =>  (? [D] :  (m2_pboole(D, u1_struct_0(A), k13_msafree(A, B), u3_msualg_1(A, k3_equation(A))) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_msafree4(F, u1_struct_0(A), B, k1_msafree4(u1_struct_0(A), B, E)) => k1_funct_1(k2_msafree4(u1_struct_0(A), k13_msafree(A, B), u3_msualg_1(A, k3_equation(A)), D, E), k1_trees_4(k4_tarski(F, E)))=k1_trees_4(k4_tarski(k3_funct_2(k1_msafree4(u1_struct_0(A), B, E), k1_funct_1(k7_funcop_1(u1_struct_0(A), k4_ordinal1), E), k2_msafree4(u1_struct_0(A), B, k7_funcop_1(u1_struct_0(A), k4_ordinal1), C, E), F), E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v1_msafree4(B, u1_struct_0(A))) ) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, k3_equation(A)), u3_msualg_1(A, C)) =>  (r1_msualg_3(A, k3_equation(A), C, D) =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), B, k7_funcop_1(u1_struct_0(A), k4_ordinal1)) =>  ~ ( (v1_msualg_3(E) &  (! [F] :  ( (v2_relat_1(F) & m3_pboole(F, u1_struct_0(A), k7_funcop_1(u1_struct_0(A), k4_ordinal1)))  =>  (! [G] :  (m3_pboole(G, u1_struct_0(A), u3_msualg_1(A, k3_equation(A))) =>  (! [H] :  (m2_pboole(H, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, F)), u3_msualg_1(A, C)) =>  (! [I] :  (m2_pboole(I, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, C)) =>  ~ ( (r8_pboole(u1_struct_0(A), F, k2_funct_6(E)) &  (r8_pboole(u1_struct_0(A), G, u3_msualg_1(A, k1_msafree3(A, F))) &  (r2_pboole(u1_struct_0(A), k13_msafree(A, k2_funct_6(E)), G) &  (r1_msualg_3(A, k1_msafree3(A, F), C, H) &  (r1_msualg_3(A, C, C, I) &  (r8_pboole(u1_struct_0(A), k1_msafree(u1_struct_0(A), u3_msualg_1(A, k3_equation(A)), u3_msualg_1(A, C), G, D), k3_msualg_3(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, F)), u3_msualg_1(A, C), u3_msualg_1(A, C), H, I)) &  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (v7_ordinal1(K) =>  ~ ( (r2_tarski(K, k1_msafree4(u1_struct_0(A), F, J)) &  (! [L] :  (m1_msafree4(L, u1_struct_0(A), B, k1_msafree4(u1_struct_0(A), B, J)) =>  ~ ( (k3_funct_2(k1_msafree4(u1_struct_0(A), B, J), k1_funct_1(k7_funcop_1(u1_struct_0(A), k4_ordinal1), J), k2_msafree4(u1_struct_0(A), B, k7_funcop_1(u1_struct_0(A), k4_ordinal1), E, J), L)=K & k1_funct_1(k2_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, F)), u3_msualg_1(A, C), H, J), k1_trees_4(k4_tarski(K, J)))=k1_trees_4(k4_tarski(L, J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, C)) =>  ~ ( (r1_msualg_3(A, k1_msafree3(A, B), C, D) &  (! [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, C)) =>  ~ ( (r1_msualg_3(A, C, C, E) & r8_pboole(u1_struct_0(A), D, k3_msualg_3(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, C), u3_msualg_1(A, C), k4_msafree4(A, B, C), E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k3_msualg_1(A, D, C)) =>  (! [F] :  (m1_subset_1(F, k3_msualg_1(A, D, k1_msafree3(A, B))) =>  (F=E => k5_msualg_3(A, k1_msafree3(A, B), C, D, k4_msafree4(A, B, C), F)=E) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k3_msualg_1(A, D, C)) => k3_funct_2(k3_msualg_1(A, D, C), k4_msualg_1(A, D, C), k5_msualg_1(A, D, C), E)=k1_funct_1(k2_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, C), k4_msafree4(A, B, C), k2_msualg_1(A, D)), k1_funct_1(k5_msualg_1(A, D, k1_msafree3(A, B)), E))) ) ) ) ) ) ) ) ) ) ).
fof(t68_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, C)) =>  (r1_msualg_3(A, k1_msafree3(A, B), C, D) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k3_msualg_1(A, E, C)) => k1_funct_1(k2_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, C), D, k2_msualg_1(A, E)), k3_funct_2(k3_msualg_1(A, E, C), k4_msualg_1(A, E, C), k5_msualg_1(A, E, C), F))=k1_funct_1(k2_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, C), D, k2_msualg_1(A, E)), k1_funct_1(k5_msualg_1(A, E, k1_msafree3(A, B)), F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t69_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, C)) =>  (r1_msualg_3(A, k1_msafree3(A, B), C, D) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k3_msualg_1(A, E, k1_msafree3(A, B))) => k1_funct_1(k2_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, C), D, k2_msualg_1(A, E)), k3_funct_2(k3_msualg_1(A, E, k1_msafree3(A, B)), k4_msualg_1(A, E, k1_msafree3(A, B)), k5_msualg_1(A, E, k1_msafree3(A, B)), F))=k1_funct_1(k2_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, C), D, k2_msualg_1(A, E)), k1_funct_1(k5_msualg_1(A, E, k1_msafree3(A, B)), k5_msualg_3(A, k1_msafree3(A, B), C, E, k4_msafree4(A, B, C), F)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v1_msafree4(B, u1_struct_0(A))) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) & v1_msafree4(C, u1_struct_0(A))) ) ) ) )  =>  (! [D] :  ( (v5_msafree4(D, A, B) &  (v6_msafree4(D, A, B) &  (v7_msafree4(D, A, B) & l3_msualg_1(D, A)) ) )  =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, C)), u3_msualg_1(A, D)) =>  ~ ( (r1_msualg_3(A, k1_msafree3(A, C), D, E) &  (! [F] :  (m2_pboole(F, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, C)), u3_msualg_1(A, k1_msafree3(A, B))) =>  ~ ( (r1_msualg_3(A, k1_msafree3(A, C), k1_msafree3(A, B), F) &  (r8_pboole(u1_struct_0(A), E, k3_msualg_3(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, C)), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, D), F, k4_msafree4(A, B, D))) &  (! [G] :  (m1_msafree(G, A, k1_msafree3(A, C)) =>  (r8_pboole(u1_struct_0(A), G, k13_msafree(A, C)) => r8_pboole(u1_struct_0(A), k1_msafree(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, C)), u3_msualg_1(A, k1_msafree3(A, B)), G, F), k1_msafree(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, C)), u3_msualg_1(A, D), G, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v1_msafree4(B, u1_struct_0(A))) ) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), B, k7_funcop_1(u1_struct_0(A), k4_ordinal1)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, k1_msafree3(A, B)), E)) =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, k3_equation(A)), E)) =>  (! [H] :  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, k3_equation(A)), E)) =>  ( (G=k6_msafree4(A, B, D, F) & H=k6_msafree4(A, B, D, k3_funct_2(k1_funct_1(u3_msualg_1(A, k1_msafree3(A, B)), E), k1_funct_1(u3_msualg_1(A, C), E), k2_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, C), k4_msafree4(A, B, C), E), F)))  => r1_equation(A, C, E, k5_equation(A, E, G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t72_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v1_msafree4(B, u1_struct_0(A))) ) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), B, k7_funcop_1(u1_struct_0(A), k4_ordinal1)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k3_msualg_1(A, E, k1_msafree3(A, B))) =>  (! [G] :  (m1_subset_1(G, k3_msualg_1(A, E, C)) =>  (k5_msualg_3(A, k1_msafree3(A, B), C, E, k4_msafree4(A, B, C), F)=G =>  (! [H] :  (m1_dtconstr(H, u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B)) =>  (! [I] :  (m1_dtconstr(I, u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B)) =>  ( (H=k3_funct_2(k3_msualg_1(A, E, k1_msafree3(A, B)), k4_msualg_1(A, E, k1_msafree3(A, B)), k5_msualg_1(A, E, k1_msafree3(A, B)), F) & I=k3_funct_2(k3_msualg_1(A, E, C), k4_msualg_1(A, E, C), k5_msualg_1(A, E, C), G))  =>  (! [J] :  (m1_subset_1(J, k1_funct_1(u3_msualg_1(A, k3_equation(A)), k2_msualg_1(A, E))) =>  (! [K] :  (m1_subset_1(K, k1_funct_1(u3_msualg_1(A, k3_equation(A)), k2_msualg_1(A, E))) =>  ( (J=k6_msafree4(A, B, D, H) & K=k6_msafree4(A, B, D, I))  => r1_equation(A, C, k2_msualg_1(A, E), k5_equation(A, k2_msualg_1(A, E), J, K))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t73_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v1_msafree4(B, u1_struct_0(A))) ) ) ) )  =>  (! [C] :  (m2_pboole(C, u1_struct_0(A), B, k7_funcop_1(u1_struct_0(A), k4_ordinal1)) =>  ~ ( (v1_msualg_3(C) &  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, k3_equation(A)), u3_msualg_1(A, k1_msafree3(A, B))) =>  ~ ( (r1_msualg_3(A, k3_equation(A), k1_msafree3(A, B), D) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, k1_msafree3(A, B)), E)) => k1_funct_1(k2_msafree4(u1_struct_0(A), u3_msualg_1(A, k3_equation(A)), u3_msualg_1(A, k1_msafree3(A, B)), D, E), k6_msafree4(A, B, C, F))=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t74_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v1_msafree4(B, u1_struct_0(A))) ) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, C)) =>  (r1_msualg_3(A, k1_msafree3(A, B), C, D) =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), B, k7_funcop_1(u1_struct_0(A), k4_ordinal1)) =>  (v1_msualg_3(E) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, k1_msafree3(A, B)), F)) =>  (! [H] :  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, k1_msafree3(A, B)), F)) =>  (! [I] :  (m1_subset_1(I, k1_funct_1(u3_msualg_1(A, k3_equation(A)), F)) =>  (! [J] :  (m1_subset_1(J, k1_funct_1(u3_msualg_1(A, k3_equation(A)), F)) =>  ( (I=k6_msafree4(A, B, E, G) &  (J=k6_msafree4(A, B, E, H) & r1_equation(A, C, F, k5_equation(A, F, I, J))) )  => k3_funct_2(k1_funct_1(u3_msualg_1(A, k1_msafree3(A, B)), F), k1_funct_1(u3_msualg_1(A, C), F), k2_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, C), D, F), G)=k3_funct_2(k1_funct_1(u3_msualg_1(A, k1_msafree3(A, B)), F), k1_funct_1(u3_msualg_1(A, C), F), k2_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, C), D, F), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v1_msafree4(B, u1_struct_0(A))) ) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (m1_msafree(D, A, C) =>  (r8_pboole(u1_struct_0(A), D, k13_msafree(A, B)) => v10_msafree4(D, A, C, k5_msafree4(A, C))) ) ) ) ) ) ) ) ) ).
fof(t76_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v1_msafree4(B, u1_struct_0(A))) ) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  => v11_msafree4(C, A, k5_msafree4(A, C))) ) ) ) ) ) ).
fof(d16_msafree4, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_msualg_4(C, A, B, B) =>  (v12_msafree4(C, A, B) <=>  (! [D] :  (r2_tarski(D, A) => v3_rewrite1(k7_msafree4(A, B, B, C, D))) ) ) ) ) ) ) ) ).
fof(d17_msafree4, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_msualg_4(C, A, B, B) =>  (v13_msafree4(C, A, B) <=>  (! [D] :  (r2_tarski(D, A) => v4_rewrite1(k7_msafree4(A, B, B, C, D))) ) ) ) ) ) ) ) ).
fof(t77_msafree4, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (? [C] :  (m1_msualg_4(C, A, B, B) &  (r6_pboole(A, C, k7_funcop_1(A, k1_xboole_0)) & v12_msafree4(C, A, B)) ) ) ) ) ) ).
fof(d18_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, k1_msafree3(A, B))) =>  (v14_msafree4(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), k13_msafree(A, B), k1_msafree4(u1_struct_0(A), k13_msafree(A, B), D)) => r3_rewrite1(k7_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, k1_msafree3(A, B)), C, D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t78_msafree4, axiom,  (! [A] : r3_rewrite1(k1_xboole_0, A)) ).
fof(d20_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v3_msualg_6(C, A, k1_msafree3(A, B)) &  (v4_msualg_6(C, A, k1_msafree3(A, B)) &  (v12_msafree4(C, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B))) &  (v13_msafree4(C, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B))) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, k1_msafree3(A, B)))) ) ) )  =>  (! [D] :  ( (v3_msualg_1(D, A) &  (v4_msualg_1(D, A) & l3_msualg_1(D, A)) )  =>  (D=k10_msafree4(A, B, C) <=>  (r8_pboole(u1_struct_0(A), u3_msualg_1(A, D), k9_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), C)) &  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k3_msualg_1(A, E, D)) => k3_funct_2(k3_msualg_1(A, E, D), k4_msualg_1(A, E, D), k5_msualg_1(A, E, D), F)=k2_rewrite1(k7_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, k1_msafree3(A, B)), C, k2_msualg_1(A, E)), k1_funct_1(k5_msualg_1(A, E, k1_msafree3(A, B)), F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t79_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (! [D] :  ( (v3_msualg_6(D, A, k1_msafree3(A, B)) &  (v4_msualg_6(D, A, k1_msafree3(A, B)) &  (v12_msafree4(D, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B))) &  (v13_msafree4(D, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B))) & m1_msualg_4(D, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, k1_msafree3(A, B)))) ) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(C, k1_msafree4(u1_struct_0(A), k9_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), D), E)) => k2_rewrite1(k7_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, k1_msafree3(A, B)), D, E), C)=C) ) ) ) ) ) ) ) ) ) ).
fof(t80_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v3_msualg_6(C, A, k1_msafree3(A, B)) &  (v4_msualg_6(C, A, k1_msafree3(A, B)) &  (v12_msafree4(C, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B))) &  (v13_msafree4(C, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B))) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, k1_msafree3(A, B)))) ) ) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, k1_msafree3(A, B))) =>  (r1_msualg_3(A, k1_msafree3(A, B), k1_msafree3(A, B), D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, k1_msafree3(A, B)), E)) => k8_msafree4(k1_funct_1(u3_msualg_1(A, k1_msafree3(A, B)), E), k7_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, k1_msafree3(A, B)), C, E), k3_funct_2(k1_funct_1(u3_msualg_1(A, k1_msafree3(A, B)), E), k1_funct_1(u3_msualg_1(A, k1_msafree3(A, B)), E), k2_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, k1_msafree3(A, B)), D, E), k8_msafree4(k1_funct_1(u3_msualg_1(A, k1_msafree3(A, B)), E), k7_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, k1_msafree3(A, B)), C, E), F)))=k8_msafree4(k1_funct_1(u3_msualg_1(A, k1_msafree3(A, B)), E), k7_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, k1_msafree3(A, B)), C, E), k3_funct_2(k1_funct_1(u3_msualg_1(A, k1_msafree3(A, B)), E), k1_funct_1(u3_msualg_1(A, k1_msafree3(A, B)), E), k2_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, k1_msafree3(A, B)), D, E), F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t81_msafree4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (k1_rfinseq(k5_numbers, A)=A &  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(k3_finseq_1(A), B) => k1_rfinseq(B, A)=k1_xboole_0) ) ) ) ) ) ).
fof(t82_msafree4, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  => k1_funct_7(k7_finseq_1(k7_finseq_1(C, k9_finseq_1(A)), D), k2_xcmplx_0(k3_finseq_1(C), 1), B)=k7_finseq_1(k7_finseq_1(C, k9_finseq_1(B)), D)) ) ) ) ) ) ).
fof(t83_msafree4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(k2_xcmplx_0(B, 1), k3_finseq_1(A)) => k16_finseq_1(k2_xcmplx_0(B, 1), A)=k7_finseq_1(k16_finseq_1(B, A), k9_finseq_1(k1_funct_1(A, k2_xcmplx_0(B, 1))))) ) ) ) ) ).
fof(t84_msafree4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(k2_xcmplx_0(B, 1), k3_finseq_1(A)) => k1_rfinseq(B, A)=k7_finseq_1(k9_finseq_1(k1_funct_1(A, k2_xcmplx_0(B, 1))), k1_rfinseq(k2_xcmplx_0(B, 1), A))) ) ) ) ) ).
fof(t85_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v3_msualg_6(C, A, k1_msafree3(A, B)) &  (v4_msualg_6(C, A, k1_msafree3(A, B)) &  (v12_msafree4(C, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B))) &  (v13_msafree4(C, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B))) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, k1_msafree3(A, B)))) ) ) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, k1_msafree3(A, B))) =>  (r1_msualg_3(A, k1_msafree3(A, B), k1_msafree3(A, B), D) =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, k10_msafree4(A, B, C)), u3_msualg_1(A, k10_msafree4(A, B, C))) =>  ( (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, k10_msafree4(A, B, C)), F)) => k3_funct_2(k1_funct_1(u3_msualg_1(A, k10_msafree4(A, B, C)), F), k1_funct_1(u3_msualg_1(A, k10_msafree4(A, B, C)), F), k2_msafree4(u1_struct_0(A), u3_msualg_1(A, k10_msafree4(A, B, C)), u3_msualg_1(A, k10_msafree4(A, B, C)), E, F), G)=k2_rewrite1(k7_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, k1_msafree3(A, B)), C, F), k1_funct_1(k2_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, k1_msafree3(A, B)), D, F), G))) ) ) )  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u4_struct_0(A)) =>  (F=k2_msualg_1(A, G) =>  (! [H] :  (m1_subset_1(H, k3_msualg_1(A, G, k10_msafree4(A, B, C))) =>  (! [I] :  (m1_subset_1(I, k3_msualg_1(A, G, k1_msafree3(A, B))) =>  (H=I => k2_rewrite1(k7_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, k1_msafree3(A, B)), C, F), k3_funct_2(k3_msualg_1(A, G, k10_msafree4(A, B, C)), k4_msualg_1(A, G, k10_msafree4(A, B, C)), k5_msualg_1(A, G, k10_msafree4(A, B, C)), k5_msualg_3(A, k10_msafree4(A, B, C), k10_msafree4(A, B, C), G, E, H)))=k2_rewrite1(k7_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, k1_msafree3(A, B)), C, F), k3_funct_2(k3_msualg_1(A, G, k1_msafree3(A, B)), k4_msualg_1(A, G, k1_msafree3(A, B)), k5_msualg_1(A, G, k1_msafree3(A, B)), k5_msualg_3(A, k1_msafree3(A, B), k1_msafree3(A, B), G, D, I)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_msafree4, axiom,  (? [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, f1_s1_msafree4) &  (v1_funct_1(A) &  (v1_partfun1(A, f1_s1_msafree4) & v1_funcop_1(A)) ) ) )  &  (! [B] :  (r2_tarski(B, f1_s1_msafree4) =>  (k9_xtuple_0(k1_funct_1(A, B))=k1_funct_1(f2_s1_msafree4, B) &  (! [C] :  (m1_subset_1(C, k1_funct_1(f2_s1_msafree4, B)) => k1_funct_1(k1_funct_1(A, B), C)=f3_s1_msafree4(B, C)) ) ) ) ) ) ) ).
fof(s2_msafree4, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s2_msafree4) =>  (! [B] :  (m1_msafree4(B, f1_s2_msafree4, f2_s2_msafree4, k1_msafree4(f1_s2_msafree4, f2_s2_msafree4, A)) => r2_tarski(f4_s2_msafree4(A, B), k1_msafree4(f1_s2_msafree4, f3_s2_msafree4, A))) ) ) )  =>  (? [A] :  (m2_pboole(A, f1_s2_msafree4, f2_s2_msafree4, f3_s2_msafree4) &  (! [B] :  (m1_subset_1(B, f1_s2_msafree4) =>  (! [C] :  (m1_msafree4(C, f1_s2_msafree4, f2_s2_msafree4, k1_msafree4(f1_s2_msafree4, f2_s2_msafree4, B)) => k3_funct_2(k1_msafree4(f1_s2_msafree4, f2_s2_msafree4, B), k1_funct_1(f3_s2_msafree4, B), k2_msafree4(f1_s2_msafree4, f2_s2_msafree4, f3_s2_msafree4, A, B), C)=f4_s2_msafree4(B, C)) ) ) ) ) ) ) ).
fof(s3_msafree4, axiom,  (? [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k1_msaterm(f1_s3_msafree4, f2_s3_msafree4)) &  (v1_funct_1(A) & v1_partfun1(A, k1_msaterm(f1_s3_msafree4, f2_s3_msafree4))) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(f1_s3_msafree4)) =>  (! [C] :  (m1_msafree4(C, u1_struct_0(f1_s3_msafree4), f2_s3_msafree4, k1_msafree4(u1_struct_0(f1_s3_msafree4), f2_s3_msafree4, B)) => k1_funct_1(A, k1_trees_4(k4_tarski(C, B)))=f3_s3_msafree4(C, B)) ) ) )  &  (! [B] :  (m1_subset_1(B, u4_struct_0(f1_s3_msafree4)) =>  (! [C] :  (m1_msaterm(C, f1_s3_msafree4, f2_s3_msafree4, k2_msaterm(f1_s3_msafree4, f2_s3_msafree4, B)) => k1_msafree4(k1_msaterm(f1_s3_msafree4, f2_s3_msafree4), A, k6_msaterm(f1_s3_msafree4, f2_s3_msafree4, k2_msaterm(f1_s3_msafree4, f2_s3_msafree4, B), C))=f4_s3_msafree4(B, k3_relat_1(C, A))) ) ) ) ) ) ) ).
fof(s4_msafree4, axiom,  ( ( (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s4_msafree4)) =>  (! [B] :  (m1_msafree4(B, u1_struct_0(f1_s4_msafree4), f2_s4_msafree4, k1_msafree4(u1_struct_0(f1_s4_msafree4), f2_s4_msafree4, A)) => k1_funct_1(f5_s4_msafree4, k1_trees_4(k4_tarski(B, A)))=f3_s4_msafree4(B, A)) ) ) )  &  ( (! [A] :  (m1_subset_1(A, u4_struct_0(f1_s4_msafree4)) =>  (! [B] :  (m1_msaterm(B, f1_s4_msafree4, f2_s4_msafree4, k2_msaterm(f1_s4_msafree4, f2_s4_msafree4, A)) => k1_msafree4(k1_msaterm(f1_s4_msafree4, f2_s4_msafree4), f5_s4_msafree4, k6_msaterm(f1_s4_msafree4, f2_s4_msafree4, k2_msaterm(f1_s4_msafree4, f2_s4_msafree4, A), B))=f4_s4_msafree4(A, k3_relat_1(B, f5_s4_msafree4))) ) ) )  &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s4_msafree4)) =>  (! [B] :  (m1_msafree4(B, u1_struct_0(f1_s4_msafree4), f2_s4_msafree4, k1_msafree4(u1_struct_0(f1_s4_msafree4), f2_s4_msafree4, A)) => k1_funct_1(f6_s4_msafree4, k1_trees_4(k4_tarski(B, A)))=f3_s4_msafree4(B, A)) ) ) )  &  (! [A] :  (m1_subset_1(A, u4_struct_0(f1_s4_msafree4)) =>  (! [B] :  (m1_msaterm(B, f1_s4_msafree4, f2_s4_msafree4, k2_msaterm(f1_s4_msafree4, f2_s4_msafree4, A)) => k1_msafree4(k1_msaterm(f1_s4_msafree4, f2_s4_msafree4), f6_s4_msafree4, k6_msaterm(f1_s4_msafree4, f2_s4_msafree4, k2_msaterm(f1_s4_msafree4, f2_s4_msafree4, A), B))=f4_s4_msafree4(A, k3_relat_1(B, f6_s4_msafree4))) ) ) ) ) ) )  => r8_pboole(k1_msaterm(f1_s4_msafree4, f2_s4_msafree4), f5_s4_msafree4, f6_s4_msafree4)) ).
fof(s5_msafree4, axiom,  ( (p1_s5_msafree4(f1_s5_msafree4) &  (r1_rewrite1(f3_s5_msafree4, f1_s5_msafree4, f2_s5_msafree4) &  (! [A] :  (! [B] :  ( (r1_rewrite1(f3_s5_msafree4, f1_s5_msafree4, A) &  (r2_hidden(k4_tarski(A, B), f3_s5_msafree4) & p1_s5_msafree4(A)) )  => p1_s5_msafree4(B)) ) ) ) )  => p1_s5_msafree4(f2_s5_msafree4)) ).
fof(s6_msafree4, axiom,  ( (p1_s6_msafree4(f2_s6_msafree4) &  (r1_rewrite1(f3_s6_msafree4, f1_s6_msafree4, f2_s6_msafree4) &  (! [A] :  (! [B] :  ( (r2_hidden(k4_tarski(A, B), f3_s6_msafree4) & p1_s6_msafree4(B))  => p1_s6_msafree4(A)) ) ) ) )  => p1_s6_msafree4(f1_s6_msafree4)) ).
fof(s7_msafree4, axiom,  (? [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, f1_s7_msafree4) &  (v1_funct_1(A) &  (v1_partfun1(A, f1_s7_msafree4) & v1_funcop_1(A)) ) ) )  &  (! [B] :  (m1_subset_1(B, f1_s7_msafree4) =>  (k9_xtuple_0(k1_msafree4(f1_s7_msafree4, A, B))=f2_s7_msafree4(B) &  (! [C] :  (m1_subset_1(C, f2_s7_msafree4(B)) => k1_funct_1(k1_msafree4(f1_s7_msafree4, A, B), C)=f3_s7_msafree4(B, C)) ) ) ) ) ) ) ).
fof(dt_m1_msafree4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  & m1_subset_1(C, k10_xtuple_0(B)))  =>  (! [D] :  (m1_msafree4(D, A, B, C) => m1_subset_1(D, k3_card_3(B))) ) ) ) ).
fof(existence_m1_msafree4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  & m1_subset_1(C, k10_xtuple_0(B)))  =>  (? [D] : m1_msafree4(D, A, B, C)) ) ) ).
fof(redefinition_m1_msafree4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  & m1_subset_1(C, k10_xtuple_0(B)))  =>  (! [D] :  (m1_msafree4(D, A, B, C) <=> m1_subset_1(D, C)) ) ) ) ).
fof(dt_k1_msafree4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  & m1_subset_1(C, A))  => m1_subset_1(k1_msafree4(A, B, C), k10_xtuple_0(B))) ) ).
fof(redefinition_k1_msafree4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  & m1_subset_1(C, A))  => k1_msafree4(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k2_msafree4, axiom,  (! [A, B, C, D, E] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  & m2_pboole(D, A, B, C)) )  =>  (v1_funct_1(k2_msafree4(A, B, C, D, E)) &  (v1_funct_2(k2_msafree4(A, B, C, D, E), k1_funct_1(B, E), k1_funct_1(C, E)) & m1_subset_1(k2_msafree4(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(B, E), k1_funct_1(C, E))))) ) ) ) ).
fof(redefinition_k2_msafree4, axiom,  (! [A, B, C, D, E] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  & m2_pboole(D, A, B, C)) )  => k2_msafree4(A, B, C, D, E)=k1_funct_1(D, E)) ) ).
fof(dt_f2_s1_msafree4, axiom,  (v1_relat_1(f2_s1_msafree4) &  (v2_relat_1(f2_s1_msafree4) &  (v4_relat_1(f2_s1_msafree4, f1_s1_msafree4) &  (v1_funct_1(f2_s1_msafree4) & v1_partfun1(f2_s1_msafree4, f1_s1_msafree4)) ) ) ) ).
fof(dt_f1_s2_msafree4, axiom,  ~ (v1_xboole_0(f1_s2_msafree4)) ).
fof(dt_f2_s2_msafree4, axiom,  (v1_relat_1(f2_s2_msafree4) &  (v2_relat_1(f2_s2_msafree4) &  (v4_relat_1(f2_s2_msafree4, f1_s2_msafree4) &  (v1_funct_1(f2_s2_msafree4) & v1_partfun1(f2_s2_msafree4, f1_s2_msafree4)) ) ) ) ).
fof(dt_f3_s2_msafree4, axiom,  (v1_relat_1(f3_s2_msafree4) &  (v2_relat_1(f3_s2_msafree4) &  (v4_relat_1(f3_s2_msafree4, f1_s2_msafree4) &  (v1_funct_1(f3_s2_msafree4) & v1_partfun1(f3_s2_msafree4, f1_s2_msafree4)) ) ) ) ).
fof(dt_k3_msafree4, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) ) ) )  =>  (v1_relat_1(k3_msafree4(A, B, C, D)) &  (v4_relat_1(k3_msafree4(A, B, C, D), B) &  (v1_funct_1(k3_msafree4(A, B, C, D)) & v1_partfun1(k3_msafree4(A, B, C, D), B)) ) ) ) ) ).
fof(redefinition_k3_msafree4, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) ) ) )  => k3_msafree4(A, B, C, D)=k3_relat_1(C, D)) ) ).
fof(redefinition_v2_msafree4, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v2_msafree4(B, A) <=> v12_pencil_1(B)) ) ) ).
fof(dt_k4_msafree4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  => m2_pboole(k4_msafree4(A, B, C), u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, C))) ) ).
fof(dt_k5_msafree4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  & l3_msualg_1(B, A))  => m3_pboole(k5_msafree4(A, B), u1_struct_0(A), k4_equation(A))) ) ).
fof(dt_f1_s3_msafree4, axiom,  ( ~ (v2_struct_0(f1_s3_msafree4))  &  ( ~ (v11_struct_0(f1_s3_msafree4))  & l1_msualg_1(f1_s3_msafree4)) ) ).
fof(dt_f2_s3_msafree4, axiom,  (v1_relat_1(f2_s3_msafree4) &  (v2_relat_1(f2_s3_msafree4) &  (v4_relat_1(f2_s3_msafree4, u1_struct_0(f1_s3_msafree4)) &  (v1_funct_1(f2_s3_msafree4) & v1_partfun1(f2_s3_msafree4, u1_struct_0(f1_s3_msafree4))) ) ) ) ).
fof(dt_f1_s4_msafree4, axiom,  ( ~ (v2_struct_0(f1_s4_msafree4))  &  ( ~ (v11_struct_0(f1_s4_msafree4))  & l1_msualg_1(f1_s4_msafree4)) ) ).
fof(dt_f2_s4_msafree4, axiom,  (v1_relat_1(f2_s4_msafree4) &  (v2_relat_1(f2_s4_msafree4) &  (v4_relat_1(f2_s4_msafree4, u1_struct_0(f1_s4_msafree4)) &  (v1_funct_1(f2_s4_msafree4) & v1_partfun1(f2_s4_msafree4, u1_struct_0(f1_s4_msafree4))) ) ) ) ).
fof(dt_f5_s4_msafree4, axiom,  (v1_relat_1(f5_s4_msafree4) &  (v4_relat_1(f5_s4_msafree4, k1_msaterm(f1_s4_msafree4, f2_s4_msafree4)) &  (v1_funct_1(f5_s4_msafree4) & v1_partfun1(f5_s4_msafree4, k1_msaterm(f1_s4_msafree4, f2_s4_msafree4))) ) ) ).
fof(dt_f6_s4_msafree4, axiom,  (v1_relat_1(f6_s4_msafree4) &  (v4_relat_1(f6_s4_msafree4, k1_msaterm(f1_s4_msafree4, f2_s4_msafree4)) &  (v1_funct_1(f6_s4_msafree4) & v1_partfun1(f6_s4_msafree4, k1_msaterm(f1_s4_msafree4, f2_s4_msafree4))) ) ) ).
fof(dt_k6_msafree4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (m2_pboole(C, u1_struct_0(A), B, k7_funcop_1(u1_struct_0(A), k4_ordinal1)) &  (v1_relat_1(D) & v1_funct_1(D)) ) ) )  => m1_subset_1(k6_msafree4(A, B, C, D), k3_card_3(u3_msualg_1(A, k3_equation(A))))) ) ).
fof(dt_k7_msafree4, axiom,  (! [A, B, C, D, E] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  & m1_msualg_4(D, A, B, C)) )  => m1_subset_1(k7_msafree4(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(B, E), k1_funct_1(C, E))))) ) ).
fof(redefinition_k7_msafree4, axiom,  (! [A, B, C, D, E] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  & m1_msualg_4(D, A, B, C)) )  => k7_msafree4(A, B, C, D, E)=k1_funct_1(D, E)) ) ).
fof(dt_f3_s5_msafree4, axiom, v1_relat_1(f3_s5_msafree4)).
fof(dt_f3_s6_msafree4, axiom, v1_relat_1(f3_s6_msafree4)).
fof(dt_k8_msafree4, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v3_rewrite1(B) &  (v4_rewrite1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  & m1_subset_1(C, A)) )  => m1_subset_1(k8_msafree4(A, B, C), A)) ) ).
fof(redefinition_k8_msafree4, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v3_rewrite1(B) &  (v4_rewrite1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  & m1_subset_1(C, A)) )  => k8_msafree4(A, B, C)=k2_rewrite1(B, C)) ) ).
fof(dt_k9_msafree4, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  &  (v12_msafree4(C, A, B) &  (v13_msafree4(C, A, B) & m1_msualg_4(C, A, B, B)) ) ) )  =>  (v2_relat_1(k9_msafree4(A, B, C)) & m3_pboole(k9_msafree4(A, B, C), A, B)) ) ) ).
fof(dt_f1_s7_msafree4, axiom,  ~ (v1_xboole_0(f1_s7_msafree4)) ).
fof(dt_f2_s7_msafree4, axiom,  (! [A] :  ~ (v1_xboole_0(f2_s7_msafree4(A))) ) ).
fof(dt_k10_msafree4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (v3_msualg_6(C, A, k1_msafree3(A, B)) &  (v4_msualg_6(C, A, k1_msafree3(A, B)) &  (v12_msafree4(C, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B))) &  (v13_msafree4(C, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B))) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, k1_msafree3(A, B)))) ) ) ) ) )  =>  (v3_msualg_1(k10_msafree4(A, B, C), A) &  (v4_msualg_1(k10_msafree4(A, B, C), A) & l3_msualg_1(k10_msafree4(A, B, C), A)) ) ) ) ).
fof(d14_msafree4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m3_pboole(C, u1_struct_0(A), k4_equation(A)) =>  (C=k5_msafree4(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_msafree4(u1_struct_0(A), C, D)=a_3_0_msafree4(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d19_msafree4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  ( (v12_msafree4(C, A, B) &  (v13_msafree4(C, A, B) & m1_msualg_4(C, A, B, B)) )  =>  (! [D] :  ( (v2_relat_1(D) & m3_pboole(D, A, B))  =>  (D=k9_msafree4(A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) => k1_msafree4(A, D, E)=a_4_0_msafree4(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_msafree4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  &  (l3_msualg_1(C, B) & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_0_msafree4(B, C, D)) <=>  (? [E] :  (m1_msafree4(E, u1_struct_0(B), k4_equation(B), k1_msafree4(u1_struct_0(B), k4_equation(B), D)) &  (A=E & r1_equation(B, C, D, E)) ) ) ) ) ) ).
fof(fraenkel_a_4_0_msafree4, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, B)) ) ) )  &  ( (v12_msafree4(D, B, C) &  (v13_msafree4(D, B, C) & m1_msualg_4(D, B, C, C)) )  & m1_subset_1(E, B)) ) )  =>  (r2_hidden(A, a_4_0_msafree4(B, C, D, E)) <=>  (? [F] :  (m1_msafree4(F, B, C, k1_msafree4(B, C, E)) & A=k8_msafree4(k1_msafree4(B, C, E), k7_msafree4(B, C, C, D, E), F)) ) ) ) ) ).
fof(cc1_msafree5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, C))) => v1_finset_1(D)) ) ) ) ).
fof(cc2_msafree5, axiom,  (! [A] :  (v6_membered(A) => v6_ordinal1(A)) ) ).
fof(rc1_msafree5, axiom,  (! [A, B] :  ( ~ (v1_zfmisc_1(A))  =>  (? [C] :  (m1_subset_1(C, A) & v1_msafree5(C, B)) ) ) ) ).
fof(rc2_msafree5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (l1_msualg_1(B) &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v14_struct_0(B) &  (v1_instalg1(B) & v4_msafree5(B, A)) ) ) ) ) ) ) ) ).
fof(rc3_msafree5, axiom,  (? [A] :  (l1_msualg_1(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v14_struct_0(A) &  (v1_instalg1(A) & v2_msafree5(A)) ) ) ) ) ) ).
fof(cc3_msafree5, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_msafree5(A))  =>  (v1_relat_1(A) & v2_relat_1(A)) ) ) ).
fof(cc4_msafree5, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_msafree5(A))  =>  (v1_relat_1(A) & v5_msafree5(A)) ) ) ).
fof(rc4_msafree5, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v6_msafree5(B)) ) ) ) ) ) ).
fof(rc5_msafree5, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v4_card_3(A) & v6_msafree5(A)) ) ) ) ) ) ) ) ).
fof(fc1_msafree5, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v5_msafree5(B)) ) ) )  & m1_subset_1(C, A)) )  =>  ~ (v1_zfmisc_1(k1_funct_1(B, C))) ) ) ).
fof(fc2_msafree5, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v6_msafree5(B)) ) ) )  & m1_subset_1(C, A)) )  =>  ~ (v1_finset_1(k1_funct_1(B, C))) ) ) ).
fof(cc5_msafree5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, u4_struct_0(A))) )  =>  (! [D] :  (m1_subset_1(D, k3_msualg_1(A, C, k1_msafree3(A, B))) => v6_trees_3(D)) ) ) ) ).
fof(rd1_msafree5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k7_finseq_1(A, k1_xboole_0)=A) ) ).
fof(rd2_msafree5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k7_finseq_1(k1_xboole_0, A)=A) ) ).
fof(fc3_msafree5, axiom,  (! [A, B] :  ( (v3_finseq_1(A) &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  => v3_finseq_1(k2_msafree5(A, B))) ) ).
fof(rd3_msafree5, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  & v1_xboole_0(B))  => k2_msafree5(B, A)=B) ) ).
fof(fc4_msafree5, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v6_trees_3(A)) ) )  => v1_relat_1(k1_funct_1(A, B))) ) ).
fof(cc6_msafree5, axiom,  (! [A] :  (v1_trees_1(A) => v3_finseq_1(A)) ) ).
fof(fc5_msafree5, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v6_trees_3(A)) ) )  => v3_finseq_1(k9_xtuple_0(k1_funct_1(A, B)))) ) ).
fof(rd4_msafree5, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_trees_1(A))  &  ( ~ (v1_xboole_0(B))  & v1_trees_1(B)) )  => k5_trees_1(B, k6_finseq_1(k4_ordinal1), A)=A) ) ).
fof(rd5_msafree5, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_trees_2(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v3_trees_2(B)) ) )  => k7_trees_2(B, k6_finseq_1(k4_ordinal1), A)=A) ) ).
fof(fc6_msafree5, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k1_funct_7(A, C, B)) &  (v1_funct_1(k1_funct_7(A, C, B)) & v1_funcop_1(k1_funct_7(A, C, B))) ) ) ) ).
fof(fc7_msafree5, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v6_trees_3(A)) ) )  => v3_finseq_1(k8_relat_1(k1_funct_1(A, B), C))) ) ).
fof(fc8_msafree5, axiom,  (! [A, B] :  ( ( (v1_finset_1(A) & v3_finseq_1(A))  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  => v1_finset_1(k2_msafree5(A, B))) ) ).
fof(rd6_msafree5, axiom,  (! [A] :  (v7_ordinal1(A) => k4_card_1(A)=A) ) ).
fof(ie1_msafree5, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => k1_card_2(A, B)=k2_xcmplx_0(A, B)) ) ).
fof(fc9_msafree5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => v3_finseq_1(k1_tarski(A))) ) ).
fof(rd7_msafree5, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_trees_2(B)) )  => k9_trees_4(k1_trees_4(A), B, A)=B) ) ).
fof(fc10_msafree5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) ) )  =>  ( ~ (v1_xboole_0(k1_funct_6(A)))  &  (v1_relat_1(k1_funct_6(A)) & v1_funct_1(k1_funct_6(A))) ) ) ) ).
fof(fc11_msafree5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) ) )  =>  ( ~ (v1_xboole_0(k2_funct_6(A)))  &  (v1_relat_1(k2_funct_6(A)) & v1_funct_1(k2_funct_6(A))) ) ) ) ).
fof(rc6_msafree5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (v4_msualg_1(C, A) & l3_msualg_1(C, A)) ) )  =>  (? [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, C))) & v7_msafree5(D, A, B, C)) ) ) ) ).
fof(cc7_msafree5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (v4_msualg_1(C, A) & l3_msualg_1(C, A)) ) )  =>  (! [D] :  (m1_subset_1(D, k1_msafree4(u1_struct_0(A), u3_msualg_1(A, C), B)) => v7_msafree5(D, A, B, C)) ) ) ) ).
fof(cc8_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (m1_subset_1(C, u4_struct_0(A)) &  (v5_msafree4(D, A, B) &  (v6_msafree4(D, A, B) &  (v7_msafree4(D, A, B) &  (v8_msafree4(D, A, B) & l3_msualg_1(D, A)) ) ) ) ) ) )  =>  (! [E] :  (m1_subset_1(E, k3_msualg_1(A, C, D)) => v5_relat_1(E, k3_card_3(u3_msualg_1(A, D)))) ) ) ) ).
fof(rd8_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  & m1_subset_1(D, k3_card_3(u3_msualg_1(A, C)))) ) )  => k4_msafree5(A, k1_msafree3(A, B), C, k5_msafree5(A, B, C), k1_msafree5(A, B, C, D))=D) ) ).
fof(fc12_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, k1_msafree4(u1_struct_0(A), B, C))) ) )  =>  ~ (v5_abcmiz_1(k6_msafree5(A, B, C, D), A, B)) ) ) ).
fof(fc13_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (m1_subset_1(C, u4_struct_0(A)) & m1_subset_1(D, k3_msualg_1(A, C, k1_msafree3(A, B)))) ) )  =>  (v5_abcmiz_1(k7_msafree5(A, B, C, D), A, B) & v7_msafree5(k7_msafree5(A, B, C, D), A, k2_msualg_1(A, C), k1_msafree3(A, B))) ) ) ).
fof(rc7_msafree5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (? [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  ( ~ (v1_xtuple_0(C))  &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v3_trees_2(C) &  (v4_card_3(C) & v5_abcmiz_1(C, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(rd9_msafree5, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  &  (m1_subset_1(D, u1_struct_0(A)) & m1_subset_1(E, k1_msafree4(u1_struct_0(A), B, D))) ) ) )  => k4_msafree5(A, k1_msafree3(A, B), C, k5_msafree5(A, B, C), k6_msafree5(A, B, D, E))=k6_msafree5(A, B, D, E)) ) ).
fof(cc9_msafree5, axiom,  (! [A] :  (v6_membered(A) =>  (v5_finset_1(A) & v1_ordinal6(A)) ) ) ).
fof(fc14_msafree5, axiom,  (! [A] :  ( (v1_finset_1(A) & v6_membered(A))  => v7_ordinal1(k3_tarski(A))) ) ).
fof(ie2_msafree5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v6_membered(A)) )  => k1_xxreal_2(A)=k3_tarski(A)) ) ).
fof(fc15_msafree5, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_trees_2(A)) )  => v3_finseq_1(k8_relat_1(A, B))) ) ).
fof(fc16_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  & v7_ordinal1(D)) ) )  =>  ~ (v1_xboole_0(k13_msafree5(A, B, C, D))) ) ) ).
fof(fc17_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  & v7_ordinal1(D)) ) )  =>  ~ (v1_xboole_0(k14_msafree5(A, B, C, D))) ) ) ).
fof(fc18_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  & m1_subset_1(D, k3_card_3(u3_msualg_1(A, C)))) ) )  => v1_finset_1(k15_msafree5(A, B, C, D))) ) ).
fof(cc10_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, k1_msafree4(u1_struct_0(A), B, C))) ) )  =>  (! [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (v8_msafree5(E, A, B, k1_msafree3(A, B), C, D) => v10_msafree5(E, A, B, C)) ) ) ) ) ).
fof(fc19_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, k1_msafree4(u1_struct_0(A), B, C))) ) )  => v8_msafree5(k6_msafree5(A, B, C, D), A, B, k1_msafree3(A, B), C, D)) ) ).
fof(rc8_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, k1_msafree4(u1_struct_0(A), B, C))) ) )  =>  (? [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) &  ( ~ (v1_xboole_0(E))  &  (v1_relat_1(E) &  ( ~ (v1_xtuple_0(E))  &  (v1_funct_1(E) &  (v1_finset_1(E) &  (v3_trees_2(E) &  (v4_card_3(E) &  ( ~ (v5_abcmiz_1(E, A, B))  & v8_msafree5(E, A, B, k1_msafree3(A, B), C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc11_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, k1_msafree4(u1_struct_0(A), B, C))) ) )  =>  (! [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (v9_msafree5(E, A, B, k1_msafree3(A, B), C, D) =>  ~ (v8_msafree5(E, A, B, k1_msafree3(A, B), C, D)) ) ) ) ) ) ).
fof(fc20_msafree5, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) &  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) &  (v1_partfun1(D, u1_struct_0(A)) & v5_msafree5(D)) ) ) )  &  (m1_subset_1(E, k1_msafree4(u1_struct_0(A), D, B)) &  (v1_msafree5(F, E) & m1_subset_1(F, k1_msafree4(u1_struct_0(A), D, C))) ) ) ) ) )  => v9_msafree5(k6_msafree5(A, D, C, F), A, D, k1_msafree3(A, D), B, E)) ) ).
fof(rc9_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) &  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) & v5_msafree5(C)) ) ) )  & m1_subset_1(D, k1_msafree4(u1_struct_0(A), C, B))) ) )  =>  (? [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))) &  ( ~ (v1_xboole_0(E))  &  (v1_relat_1(E) &  ( ~ (v1_xtuple_0(E))  &  (v1_funct_1(E) &  (v1_finset_1(E) &  (v3_trees_2(E) &  (v4_card_3(E) & v9_msafree5(E, A, C, k1_msafree3(A, C), B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc10_msafree5, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) &  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) &  (v1_partfun1(D, u1_struct_0(A)) & v5_msafree5(D)) ) ) )  &  (m1_subset_1(E, k1_msafree4(u1_struct_0(A), D, B)) &  (v1_msafree5(F, E) & m1_subset_1(F, k1_msafree4(u1_struct_0(A), D, C))) ) ) ) ) )  =>  (? [G] :  (m1_subset_1(G, k3_card_3(u3_msualg_1(A, k1_msafree3(A, D)))) &  ( ~ (v1_xboole_0(G))  &  (v1_relat_1(G) &  ( ~ (v1_xtuple_0(G))  &  (v1_funct_1(G) &  (v1_finset_1(G) &  (v3_trees_2(G) &  (v4_card_3(G) &  (v8_msafree5(G, A, D, k1_msafree3(A, D), C, F) & v9_msafree5(G, A, D, k1_msafree3(A, D), B, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc12_msafree5, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (m1_subset_1(B, u4_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) &  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) & v1_partfun1(D, u1_struct_0(A))) ) ) )  & m1_subset_1(E, k1_msafree4(u1_struct_0(A), D, C))) ) ) )  =>  (! [F] :  (m1_subset_1(F, k3_msualg_1(A, B, k1_msafree3(A, D))) =>  (v11_msafree5(F, A, B, C, D, E) =>  ~ (v1_xboole_0(F)) ) ) ) ) ) ).
fof(rc11_msafree5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree5(A) & l1_msualg_1(A)) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (? [C] :  (m1_subset_1(C, u4_struct_0(A)) & v12_msafree5(C, A, B)) ) ) ) ).
fof(rc12_msafree5, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree5(A) & l1_msualg_1(A)) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  ( (v12_msafree5(C, A, B) & m1_subset_1(C, u4_struct_0(A)))  &  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) &  (v1_partfun1(D, u1_struct_0(A)) & v5_msafree5(D)) ) ) )  & m1_subset_1(E, k1_msafree4(u1_struct_0(A), D, B))) ) ) )  =>  (? [F] :  (m1_subset_1(F, k3_msualg_1(A, C, k1_msafree3(A, D))) &  (v1_relat_1(F) &  (v4_relat_1(F, k4_ordinal1) &  (v5_relat_1(F, k3_card_3(u3_msualg_1(A, k1_msafree3(A, D)))) &  (v1_funct_1(F) &  (v1_finset_1(F) &  (v1_finseq_1(F) &  (v2_finseq_1(F) &  (v1_funcop_1(F) &  (v2_funcop_1(F) &  (v6_trees_3(F) &  (v4_card_3(F) & v11_msafree5(F, A, C, B, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc21_msafree5, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree5(A) & l1_msualg_1(A)) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v5_msafree5(B)) ) ) )  &  (m1_subset_1(C, u1_struct_0(A)) &  (m1_subset_1(D, k1_msafree4(u1_struct_0(A), B, C)) &  ( (v12_msafree5(E, A, C) & m1_subset_1(E, u4_struct_0(A)))  &  (v11_msafree5(F, A, E, C, B, D) & m1_subset_1(F, k3_msualg_1(A, E, k1_msafree3(A, B)))) ) ) ) ) )  => v8_msafree5(k7_msafree5(A, B, E, F), A, B, k1_msafree3(A, B), C, D)) ) ).
fof(rc13_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msafree5(A) & l1_msualg_1(A)) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v5_msafree5(B)) ) ) )  &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, k1_msafree4(u1_struct_0(A), B, C))) ) )  =>  (? [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) &  ( ~ (v1_xboole_0(E))  &  (v1_relat_1(E) &  ( ~ (v1_xtuple_0(E))  &  (v1_funct_1(E) &  (v1_finset_1(E) &  (v3_trees_2(E) &  (v4_card_3(E) &  (v5_abcmiz_1(E, A, B) & v8_msafree5(E, A, B, k1_msafree3(A, B), C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rd10_msafree5, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (m1_subset_1(C, u1_struct_0(A)) &  (m1_subset_1(D, k1_msafree4(u1_struct_0(A), B, C)) &  (v8_msafree5(E, A, B, k1_msafree3(A, B), C, D) & m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))))) ) ) ) )  => k18_msafree5(A, B, C, D, E, k6_msafree5(A, B, C, D))=E) ) ).
fof(rc14_msafree5, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  &  (m1_subset_1(D, u1_struct_0(A)) & m1_subset_1(E, k1_msafree4(u1_struct_0(A), B, D))) ) ) )  =>  (? [F] :  (m1_msafree5(F, A, k1_msafree3(A, B), C) &  ( ~ (v1_xboole_0(F))  &  (v1_relat_1(F) &  (v4_relat_1(F, u1_struct_0(A)) &  (v1_funct_1(F) &  (v1_partfun1(F, u1_struct_0(A)) &  (v1_funcop_1(F) &  (v2_funcop_1(F) & v13_msafree5(F, A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc22_msafree5, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  =>  (v1_relat_1(k19_msafree5(B, C)) &  (v4_relat_1(k19_msafree5(B, C), A) &  (v5_relat_1(k19_msafree5(B, C), A) & v1_funct_1(k19_msafree5(B, C))) ) ) ) ) ).
fof(rd11_msafree5, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  &  (m1_subset_1(D, u1_struct_0(A)) & m1_subset_1(E, k1_msafree4(u1_struct_0(A), B, D))) ) ) )  => k1_msafree4(k1_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), D), k2_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, C), k5_msafree5(A, B, C), D), k6_msafree5(A, B, D, E))=k6_msafree5(A, B, D, E)) ) ).
fof(fc23_msafree5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (v3_msualg_6(C, A, k1_msafree3(A, B)) &  (v4_msualg_6(C, A, k1_msafree3(A, B)) &  (v12_msafree4(C, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B))) &  (v13_msafree4(C, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B))) &  (v14_msafree4(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, k1_msafree3(A, B)))) ) ) ) ) ) )  =>  (v3_msualg_1(k10_msafree4(A, B, C), A) &  (v4_msualg_1(k10_msafree4(A, B, C), A) & v14_msafree5(k10_msafree4(A, B, C), A, B)) ) ) ) ).
fof(rc15_msafree5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (? [C] :  (l3_msualg_1(C, A) &  (v4_msualg_1(C, A) &  (v1_msafree1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) &  ( ~ (v1_catalg_1(C, A))  & v14_msafree5(C, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc16_msafree5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & v15_msafree5(C, A, B)) ) ) ) ).
fof(fc24_msafree5, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (m1_subset_1(C, u1_struct_0(A)) &  (m1_subset_1(D, k1_msafree4(u1_struct_0(A), B, C)) &  (v8_msafree5(E, A, B, k1_msafree3(A, B), C, D) & m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))))) ) ) ) )  => v15_msafree5(k3_msafree5(A, k1_msafree3(A, B), E), A, C)) ) ).
fof(fc25_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))))) )  => v3_finseq_1(k10_relat_1(C, D))) ) ).
fof(rc17_msafree5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_finseq_1(C, u1_struct_0(A))) )  =>  (? [D] :  (m1_finseq_1(D, k3_card_3(B)) &  (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, k3_card_3(B)) &  (v1_funct_1(D) &  (v1_finset_1(D) &  (v1_finseq_1(D) &  (v2_finseq_1(D) &  (v4_card_3(D) & v17_msafree5(D, A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc13_msafree5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( ~ (v1_xboole_0(C))  & m1_finseq_1(C, u1_struct_0(A))) ) )  =>  (! [D] :  (m1_finseq_1(D, k3_card_3(B)) =>  (v17_msafree5(D, A, B, C) =>  ~ (v1_xboole_0(D)) ) ) ) ) ) ).
fof(rc18_msafree5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_finseq_1(C, u1_struct_0(A))) )  =>  (? [D] :  (m1_finseq_1(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) &  (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) &  (v1_funct_1(D) &  (v1_finset_1(D) &  (v1_finseq_1(D) &  (v2_finseq_1(D) &  (v1_funcop_1(D) &  (v2_funcop_1(D) &  (v6_trees_3(D) &  (v4_card_3(D) & v18_msafree5(D, A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc14_msafree5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( ~ (v1_xboole_0(C))  & m1_finseq_1(C, u1_struct_0(A))) ) )  =>  (! [D] :  (m1_finseq_1(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (v18_msafree5(D, A, B, C) =>  ~ (v1_xboole_0(D)) ) ) ) ) ) ).
fof(cc15_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_finseq_1(C, u1_struct_0(A)))  &  (v17_msafree5(D, A, B, C) & m1_finseq_1(D, k3_card_3(B))) ) ) )  =>  (! [E] :  (m1_finseq_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (v19_msafree5(E, A, B, C, D) =>  ~ (v1_xboole_0(E)) ) ) ) ) ) ).
fof(rc19_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_finseq_1(C, u1_struct_0(A)))  &  (v17_msafree5(D, A, B, C) & m1_finseq_1(D, k3_card_3(B))) ) ) )  =>  (? [E] :  (m1_finseq_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) &  (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v5_relat_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) &  (v1_funct_1(E) &  (v1_finset_1(E) &  (v1_finseq_1(E) &  (v2_finseq_1(E) &  (v1_funcop_1(E) &  (v2_funcop_1(E) &  (v6_trees_3(E) &  (v4_card_3(E) & v19_msafree5(E, A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc20_msafree5, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v6_msafree5(B)) ) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_finseq_1(C, u1_struct_0(A)))  &  ( (v17_msafree5(D, A, B, C) & m1_finseq_1(D, k3_card_3(B)))  &  (v18_msafree5(E, A, B, C) & m1_finseq_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))))) ) ) ) )  =>  (? [F] :  (m1_finseq_1(F, k3_card_3(B)) &  ( ~ (v1_xboole_0(F))  &  (v1_relat_1(F) &  (v4_relat_1(F, k4_ordinal1) &  (v5_relat_1(F, k3_card_3(B)) &  (v1_funct_1(F) &  (v2_funct_1(F) &  (v1_finset_1(F) &  (v1_finseq_1(F) &  (v2_finseq_1(F) &  (v4_card_3(F) &  (v17_msafree5(F, A, B, C) &  (v20_msafree5(F, A, B, C, D) & v22_msafree5(F, A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc26_msafree5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(k11_mcart_1(A)) &  (v1_funct_1(k11_mcart_1(A)) & v1_finseq_1(k11_mcart_1(A))) ) ) ) ).
fof(fc27_msafree5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(k12_mcart_1(A)) &  (v1_funct_1(k12_mcart_1(A)) & v1_finseq_1(k12_mcart_1(A))) ) ) ) ).
fof(rd12_msafree5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  => k10_subset_1(1, k4_finseq_1(A))=1) ) ).
fof(rd13_msafree5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  => k10_subset_1(k3_finseq_1(A), k4_finseq_1(A))=k3_finseq_1(A)) ) ).
fof(d1_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) & l3_msualg_1(C, A)) )  =>  (! [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, C))) => k1_msafree5(A, B, C, D)=D) ) ) ) ) ) ) ) ).
fof(d2_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (r1_msafree5(A, B, C) <=> r2_hidden(C, k3_card_3(u3_msualg_1(A, B)))) ) ) ) ) ) ).
fof(d3_msafree5, axiom,  (! [A] :  (! [B] :  (v1_msafree5(B, A) <=>  ~ (B=A) ) ) ) ).
fof(t1_msafree5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_trees_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_trees_1(B))  =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  ( (r2_tarski(C, A) & r2_tarski(D, k5_trees_1(A, C, B)))  =>  ( ( ~ (r1_tarski(C, D))  => r2_tarski(D, A))  &  (! [E] :  (m2_finseq_1(E, k4_ordinal1) =>  (D=k8_finseq_1(k4_ordinal1, C, E) => r2_tarski(E, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_msafree5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r1_tarski(k7_finseq_1(A, B), C) => r1_tarski(A, C)) ) ) ) ) ) ) ).
fof(t3_msafree5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r1_tarski(k7_finseq_1(A, B), k7_finseq_1(A, C)) => r1_tarski(B, C)) ) ) ) ) ) ) ).
fof(t4_msafree5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r1_xxreal_0(A, k3_finseq_1(B)) => k5_relat_1(k7_finseq_1(B, C), k2_finseq_1(A))=k5_relat_1(B, k2_finseq_1(A))) ) ) ) ) ) ) ).
fof(t5_msafree5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ~ ( (r1_tarski(B, k7_finseq_1(A, C)) &  ( ~ (r1_tarski(B, A))  &  ~ (r1_tarski(A, B)) ) ) ) ) ) ) ) ) ) ).
fof(d4_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (v2_msafree5(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  (m1_subset_1(C, u4_struct_0(A)) & r2_tarski(B, k10_xtuple_0(k1_msualg_1(A, C)))) ) ) ) ) ) ) ).
fof(d5_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (v3_msafree5(A) <=>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (? [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) & k6_trees_1(k9_xtuple_0(D))=C) ) ) ) ) ) ) ) ) ).
fof(d6_msafree5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (v4_msafree5(B, A) <=>  (? [C] :  (m1_subset_1(C, u4_struct_0(B)) & k3_finseq_1(k1_msualg_1(B, C))=A) ) ) ) ) ) ) ).
fof(d7_msafree5, axiom,  (! [A] :  (v1_relat_1(A) =>  (v5_msafree5(A) <=>  (! [B] :  ~ ( (r2_tarski(B, k10_xtuple_0(A)) & v1_zfmisc_1(B)) ) ) ) ) ) ).
fof(d8_msafree5, axiom,  (! [A] :  (v1_relat_1(A) =>  (v6_msafree5(A) <=>  (! [B] :  ~ ( (r2_tarski(B, k10_xtuple_0(A)) & v1_finset_1(B)) ) ) ) ) ) ).
fof(t6_msafree5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v1_finseq_1(D) & v4_trees_3(D)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) &  (v1_finseq_1(E) & v4_trees_3(E)) ) )  =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  & v1_trees_1(F))  =>  (! [G] :  ( ( ~ (v1_xboole_0(G))  & v1_trees_1(G))  =>  ( (B=k8_finseq_1(k4_ordinal1, k14_trees_3(A), C) &  (F=k1_funct_1(D, k2_xcmplx_0(A, 1)) &  (E=k1_funct_7(D, k2_xcmplx_0(A, 1), k5_trees_1(F, C, G)) & r2_tarski(B, k11_trees_3(D))) ) )  =>  (r1_xxreal_0(k3_finseq_1(D), A) | k5_trees_1(k11_trees_3(D), B, G)=k11_trees_3(E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_msafree5, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_funcop_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => k1_funct_6(k1_funct_7(B, A, C))=k1_funct_7(k1_funct_6(B), A, k9_xtuple_0(C))) ) ) ) ) ).
fof(t8_msafree5, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) &  (v1_finseq_1(E) & v6_trees_3(E)) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) &  (v1_finseq_1(F) & v6_trees_3(F)) ) )  =>  (! [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) & v3_trees_2(G)) )  =>  (! [H] :  ( (v1_relat_1(H) &  (v1_funct_1(H) & v3_trees_2(H)) )  =>  ( (C=k8_finseq_1(k4_ordinal1, k14_trees_3(B), D) &  (G=k1_funct_1(E, k2_xcmplx_0(B, 1)) &  (F=k1_funct_7(E, k2_xcmplx_0(B, 1), k7_trees_2(G, D, H)) & r2_tarski(C, k11_trees_3(k1_funct_6(E)))) ) )  =>  (r1_xxreal_0(k3_finseq_1(E), B) | k7_trees_2(k4_trees_4(A, E), C, H)=k4_trees_4(A, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_msafree5, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => k1_card_1(k2_msafree5(A, B))=k1_card_1(A)) ) ) ) ).
fof(t11_msafree5, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  (v3_finseq_1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (k3_finseq_1(C)=k3_finseq_1(D) =>  (C=D | r1_xboole_0(k2_msafree5(A, C), k2_msafree5(B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t12_msafree5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => k2_msafree5(k1_tarski(B), A)=k1_tarski(k7_finseq_1(A, B))) ) ) ) ).
fof(t13_msafree5, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  (v3_finseq_1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r1_tarski(A, B) <=> r1_tarski(k2_msafree5(A, C), k2_msafree5(B, C))) ) ) ) ) ) ) ).
fof(t14_msafree5, axiom, k3_trees_1(k2_trees_1(k5_numbers))=k1_tarski(k1_xboole_0)).
fof(t16_msafree5, axiom,  (! [A] : k4_trees_2(k1_trees_4(A))=k1_tarski(A)) ).
fof(t17_msafree5, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_trees_2(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v3_trees_2(C)) )  => r1_tarski(k9_xtuple_0(B), k9_xtuple_0(k9_trees_4(B, C, A)))) ) ) ) ) ).
fof(t18_msafree5, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v3_trees_2(C)) )  =>  ( ~ (A=B)  => k9_trees_4(k1_trees_4(A), C, B)=k1_trees_4(A)) ) ) ) ) ).
fof(t19_msafree5, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v3_trees_2(C)) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_relat_1(D) &  (v1_funct_1(D) &  (v1_finseq_1(D) & v6_trees_3(D)) ) ) )  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v1_relat_1(E) &  (v1_funct_1(E) &  (v1_finseq_1(E) & v6_trees_3(E)) ) ) )  =>  ( (k4_finseq_1(E)=k4_finseq_1(D) &  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) & v3_trees_2(G)) )  =>  ( (r2_tarski(F, k4_finseq_1(D)) & G=k1_funct_1(D, F))  => k1_funct_1(E, F)=k9_trees_4(G, C, B)) ) ) ) ) )  => k9_trees_4(k4_trees_4(A, D), C, B)=k4_trees_4(A, E)) ) ) ) ) ) ) ) ) ).
fof(d10_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v1_catalg_1(C, A))  & l3_msualg_1(C, A))  =>  (! [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, C))) =>  (v7_msafree5(D, A, B, C) <=> r2_tarski(D, k1_msafree4(u1_struct_0(A), u3_msualg_1(A, C), B))) ) ) ) ) ) ) ) ) ).
fof(d11_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v1_catalg_1(B, A))  & l3_msualg_1(B, A))  =>  (v1_msafree1(B, A) =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (D=k3_msafree5(A, B, C) <=> r2_tarski(C, k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), D))) ) ) ) ) ) ) ) ) ) ).
fof(t20_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v1_msafree1(C, A) & l3_msualg_1(C, A)) )  =>  (! [D] :  ( (v7_msafree5(D, A, B, C) & m1_subset_1(D, k3_card_3(u3_msualg_1(A, C))))  => k3_msafree5(A, C, D)=B) ) ) ) ) ) ) ) ).
fof(t21_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_msafree1(B, A) &  ( ~ (v1_catalg_1(B, A))  & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, B))) => v7_msafree5(C, A, k3_msafree5(A, B, C), B)) ) ) ) ) ) ).
fof(t22_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, C))) => k3_msafree5(A, k1_msafree3(A, B), k1_msafree5(A, B, C, D))=k3_msafree5(A, C, D)) ) ) ) ) ) ) ) ).
fof(t23_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  ( (v5_msafree4(D, A, C) &  (v6_msafree4(D, A, C) &  (v7_msafree4(D, A, C) &  (v8_msafree4(D, A, C) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), u3_msualg_1(A, D), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, D), B)) => k3_msafree5(A, D, E)=B) ) ) ) ) ) ) ) ) ) ).
fof(t24_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (! [D] :  (m1_dtconstr(D, u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B)) =>  (C=D => k3_msafree5(A, k1_msafree3(A, B), C)=k7_msaterm(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t25_msafree5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(B)) =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (! [E] :  ( (v5_msafree4(E, B, D) &  (v6_msafree4(E, B, D) &  (v7_msafree4(E, B, D) &  (v8_msafree4(E, B, D) & l3_msualg_1(E, B)) ) ) )  =>  (! [F] :  (m1_msafree4(F, k3_finseq_2(u1_struct_0(B)), k6_finseq_2(u1_struct_0(B), u3_msualg_1(B, E)), k3_msualg_1(B, C, E)) =>  (r2_tarski(A, k4_finseq_1(F)) => k3_msafree5(B, E, k7_partfun1(k3_card_3(u3_msualg_1(B, E)), F, A))=k7_partfun1(u1_struct_0(B), k1_msualg_1(B, C), A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (v1_msafree1(B, A) =>  (! [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(A, B))) => k4_msafree5(A, B, C, D, E)=k1_funct_1(k2_msafree4(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C), D, k3_msafree5(A, B, E)), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v1_msafree1(C, A) & l3_msualg_1(C, A)) )  =>  (! [D] :  ( (v4_msualg_1(D, A) & l3_msualg_1(D, A))  =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D)) =>  (! [F] :  (m1_msafree4(F, u1_struct_0(A), u3_msualg_1(A, C), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, C), B)) => k4_msafree5(A, C, D, E, F)=k1_msafree4(k1_msafree4(u1_struct_0(A), u3_msualg_1(A, C), B), k2_msafree4(u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D), E, B), F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v1_msafree1(C, A) & l3_msualg_1(C, A)) )  =>  (! [D] :  ( (v4_msualg_1(D, A) & l3_msualg_1(D, A))  =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D)) =>  (! [F] :  (m1_msafree4(F, u1_struct_0(A), u3_msualg_1(A, C), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, C), B)) => m1_msafree4(k4_msafree5(A, C, D, E, F), u1_struct_0(A), u3_msualg_1(A, D), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, D), B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v1_msafree1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v1_msafree1(C, A) & l3_msualg_1(C, A)) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (! [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(A, B))) => k3_msafree5(A, C, k4_msafree5(A, B, C, D, E))=k3_msafree5(A, B, E)) ) ) ) ) ) ) ) ) ) ).
fof(t29_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v1_msafree1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v1_msafree1(C, A) & l3_msualg_1(C, A)) )  =>  (! [D] :  ( (v4_msualg_1(D, A) & l3_msualg_1(D, A))  =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D)) =>  (! [G] :  (m1_subset_1(G, k3_card_3(u3_msualg_1(A, B))) => k4_msafree5(A, B, D, k3_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C), u3_msualg_1(A, D), E, F), G)=k4_msafree5(A, C, D, F, k4_msafree5(A, B, C, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v1_msafree1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  ( (! [F] :  (m1_subset_1(F, k3_card_3(u3_msualg_1(A, B))) => k4_msafree5(A, B, C, D, F)=k4_msafree5(A, B, C, E, F)) )  => r8_pboole(u1_struct_0(A), D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (l3_msualg_1(C, A) =>  ( (? [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) & r1_msualg_3(A, B, C, D)) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (m1_msafree5(D, A, B, C) <=> r1_msualg_3(A, B, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t31_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, C)) =>  (m1_msafree5(D, A, k1_msafree3(A, B), C) <=> r1_msualg_3(A, k1_msafree3(A, B), C, D)) ) ) ) ) ) ) ) ) ).
fof(t32_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (! [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (E=k4_msafree5(A, k1_msafree3(A, B), C, k5_msafree5(A, B, C), D) => k4_msafree5(A, k1_msafree3(A, B), C, k5_msafree5(A, B, C), D)=k4_msafree5(A, k1_msafree3(A, B), C, k5_msafree5(A, B, C), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), B, k1_msafree4(u1_struct_0(A), B, C)) => k6_msafree5(A, B, C, D)=k2_trees_4(k2_zfmisc_1(k1_msafree4(u1_struct_0(A), B, C), u1_struct_0(A)), k1_domain_1(k1_msafree4(u1_struct_0(A), B, C), u1_struct_0(A), D, C))) ) ) ) ) ) ) ) ).
fof(d15_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_msafree4(D, k3_finseq_2(u1_struct_0(A)), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B))), k3_msualg_1(A, C, k1_msafree3(A, B))) => k7_msafree5(A, B, C, D)=k4_trees_4(k4_tarski(C, u1_struct_0(A)), D)) ) ) ) ) ) ) ) ).
fof(t33_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) => k3_msafree5(A, k1_msafree3(A, C), k6_msafree5(A, C, B, D))=B) ) ) ) ) ) ) ) ).
fof(t34_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, k3_finseq_2(u1_struct_0(A)), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, C))), k3_msualg_1(A, B, k1_msafree3(A, C))) => k3_msafree5(A, k1_msafree3(A, C), k7_msafree5(A, C, B, D))=k2_msualg_1(A, B)) ) ) ) ) ) ) ) ).
fof(t35_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  ( (v5_msafree4(D, A, C) &  (v6_msafree4(D, A, C) &  (v7_msafree4(D, A, C) &  (v8_msafree4(D, A, C) & l3_msualg_1(D, A)) ) ) )  =>  (! [E] :  (r2_hidden(E, k1_msafree4(u1_struct_0(A), k1_aofa_a01(A, C, D), B)) <=>  (? [F] :  (m1_msafree4(F, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) & E=k6_msafree5(A, C, B, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  ~ ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), B, k1_msafree4(u1_struct_0(A), B, D)) =>  ~ (C=k6_msafree5(A, B, D, E)) ) ) ) )  &  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_msafree4(E, k3_finseq_2(u1_struct_0(A)), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B))), k3_msualg_1(A, D, k1_msafree3(A, B))) =>  ~ (C=k7_msafree5(A, B, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  ~ ( ( ~ (v5_abcmiz_1(C, A, B))  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), B, k1_msafree4(u1_struct_0(A), B, D)) =>  ~ (C=k6_msafree5(A, B, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  ~ ( (v5_abcmiz_1(C, A, B) &  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_msafree4(E, k3_finseq_2(u1_struct_0(A)), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B))), k3_msualg_1(A, D, k1_msafree3(A, B))) =>  ~ (C=k7_msafree5(A, B, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) & v1_partfun1(D, u1_struct_0(A))) ) ) )  =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), D, k1_msafree4(u1_struct_0(A), D, B)) =>  (! [F] :  (m1_msafree4(F, k3_finseq_2(u1_struct_0(A)), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, D))), k3_msualg_1(A, C, k1_msafree3(A, D))) =>  ~ (k6_msafree5(A, D, B, E)=k7_msafree5(A, D, C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) => k12_abcmiz_a(A, C, k6_msafree5(A, C, B, D))=k1_xboole_0) ) ) ) ) ) ) ) ).
fof(t41_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_abcmiz_1(C, A, B) & m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))))  => C=k7_msafree5(A, B, k8_msafree5(A, B, C), k9_msafree5(A, B, C))) ) ) ) ) ) ).
fof(t42_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  ( (v5_msafree4(E, A, C) &  (v6_msafree4(E, A, C) &  (v7_msafree4(E, A, C) &  (v8_msafree4(E, A, C) & l3_msualg_1(E, A)) ) ) )  => r1_msafree5(A, E, k6_msafree5(A, C, B, D))) ) ) ) ) ) ) ) ) ) ).
fof(d16_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, C))) => k10_msafree5(A, B, C, D)=k4_card_1(k8_relat_1(D, k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A)))))) ) ) ) ) ) ) ) ).
fof(d17_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, C))) => k11_msafree5(A, B, C, D)=k6_trees_1(k9_xtuple_0(D))) ) ) ) ) ) ) ) ).
fof(t43_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, C))) => k10_msafree5(A, B, k1_msafree3(A, B), k1_msafree5(A, B, C, D))=k10_msafree5(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t44_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, C))) => k11_msafree5(A, B, k1_msafree3(A, B), k1_msafree5(A, B, C, D))=k11_msafree5(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t45_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) => k11_msafree5(A, C, k1_msafree3(A, C), k6_msafree5(A, C, B, D))=k5_numbers) ) ) ) ) ) ) ) ).
fof(t48_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, k3_finseq_2(u1_struct_0(A)), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, C))), k3_msualg_1(A, B, k1_msafree3(A, C))) =>  (k1_msualg_1(A, B)=k1_xboole_0 => k11_msafree5(A, C, k1_msafree3(A, C), k7_msafree5(A, C, B, D))=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(t49_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) => k10_msafree5(A, C, k1_msafree3(A, C), k6_msafree5(A, C, B, D))=k5_numbers) ) ) ) ) ) ) ) ).
fof(t50_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  ( ~ ( ( ~ (k10_msafree5(A, B, k1_msafree3(A, B), C)=k5_numbers)  &  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_msafree4(E, k3_finseq_2(u1_struct_0(A)), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B))), k3_msualg_1(A, D, k1_msafree3(A, B))) =>  ~ (C=k7_msafree5(A, B, D, E)) ) ) ) ) ) )  &  ~ ( ( (? [D] :  (m1_subset_1(D, u4_struct_0(A)) &  (? [E] :  (m1_msafree4(E, k3_finseq_2(u1_struct_0(A)), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B))), k3_msualg_1(A, D, k1_msafree3(A, B))) & C=k7_msafree5(A, B, D, E)) ) ) )  & k10_msafree5(A, B, k1_msafree3(A, B), C)=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(t52_msafree5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(B)) =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (! [E] :  (m1_msafree4(E, k3_finseq_2(u1_struct_0(B)), k6_finseq_2(u1_struct_0(B), u3_msualg_1(B, k1_msafree3(B, D))), k3_msualg_1(B, C, k1_msafree3(B, D))) =>  ( (? [F] :  (m2_finseq_1(F, k4_ordinal1) &  (A=k1_wsierp_1(F) &  (k4_finseq_1(F)=k4_finseq_1(k1_msualg_1(B, C)) &  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (m1_subset_1(H, k3_card_3(u3_msualg_1(B, k1_msafree3(B, D)))) =>  ( (r2_tarski(G, k4_finseq_1(k1_msualg_1(B, C))) & H=k1_funct_1(E, G))  => k1_funct_1(F, G)=k10_msafree5(B, D, k1_msafree3(B, D), H)) ) ) ) ) ) ) ) )  => k10_msafree5(B, D, k1_msafree3(B, D), k7_msafree5(B, D, C, E))=k2_xcmplx_0(A, 1)) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_msafree5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) )  =>  (! [D] :  ( (v5_msafree4(D, B, C) &  (v6_msafree4(D, B, C) &  (v7_msafree4(D, B, C) &  (v8_msafree4(D, B, C) & l3_msualg_1(D, B)) ) ) )  =>  (! [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(B, D))) =>  (r2_tarski(E, k13_msafree5(B, C, D, A)) <=> r1_xxreal_0(k10_msafree5(B, C, D, E), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  => k13_msafree5(A, B, C, k5_numbers)=k3_card_3(k1_aofa_a01(A, B, C))) ) ) ) ) ) ).
fof(t57_msafree5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) )  =>  (! [D] :  ( (v5_msafree4(D, B, C) &  (v6_msafree4(D, B, C) &  (v7_msafree4(D, B, C) &  (v8_msafree4(D, B, C) & l3_msualg_1(D, B)) ) ) )  =>  (! [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(B, D))) =>  (r2_tarski(E, k14_msafree5(B, C, D, A)) <=> r1_xxreal_0(k11_msafree5(B, C, D, E), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_msafree5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  & l1_msualg_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, u1_struct_0(C)) &  (v1_funct_1(D) & v1_partfun1(D, u1_struct_0(C))) ) ) )  =>  (! [E] :  ( (v5_msafree4(E, C, D) &  (v6_msafree4(E, C, D) &  (v7_msafree4(E, C, D) &  (v8_msafree4(E, C, D) & l3_msualg_1(E, C)) ) ) )  =>  (r1_xxreal_0(A, B) => r1_tarski(k13_msafree5(C, D, E, A), k13_msafree5(C, D, E, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_msafree5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  & l1_msualg_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, u1_struct_0(C)) &  (v1_funct_1(D) & v1_partfun1(D, u1_struct_0(C))) ) ) )  =>  (! [E] :  ( (v5_msafree4(E, C, D) &  (v6_msafree4(E, C, D) &  (v7_msafree4(E, C, D) &  (v8_msafree4(E, C, D) & l3_msualg_1(E, C)) ) ) )  =>  (r1_xxreal_0(A, B) => r1_tarski(k14_msafree5(C, D, E, A), k14_msafree5(C, D, E, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) => r1_xxreal_0(k11_msafree5(A, B, k1_msafree3(A, B), C), k10_msafree5(A, B, k1_msafree3(A, B), C))) ) ) ) ) ) ).
fof(t65_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (v7_ordinal1(D) => r1_tarski(k13_msafree5(A, B, C, D), k13_msafree5(A, B, k1_msafree3(A, B), D))) ) ) ) ) ) ) ) ).
fof(d20_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), B, k1_msafree4(u1_struct_0(A), B, D)) =>  (! [F] :  (m1_subset_1(F, k3_card_3(u3_msualg_1(A, C))) =>  (v8_msafree5(F, A, B, C, D, E) <=> k1_card_1(k10_relat_1(F, k1_domain_1(k1_msafree4(u1_struct_0(A), B, D), u1_struct_0(A), E, D)))=1) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d21_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), B, k1_msafree4(u1_struct_0(A), B, D)) =>  (! [F] :  (m1_subset_1(F, k3_card_3(u3_msualg_1(A, C))) =>  (v9_msafree5(F, A, B, C, D, E) <=> k10_relat_1(F, k1_domain_1(k1_msafree4(u1_struct_0(A), B, D), u1_struct_0(A), E, D))=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d22_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, C))) => k15_msafree5(A, B, C, D)=k9_xtuple_0(k3_xboole_0(k10_xtuple_0(D), k2_zfmisc_1(k3_card_3(B), u1_struct_0(A))))) ) ) ) ) ) ) ) ).
fof(t66_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, C))) => k15_msafree5(A, B, C, D)=k3_card_3(k3_msafree3(A, B, D))) ) ) ) ) ) ) ) ).
fof(t67_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) => k15_msafree5(A, C, k1_msafree3(A, C), k6_msafree5(A, C, B, D))=k6_domain_1(k1_msafree4(u1_struct_0(A), C, B), D)) ) ) ) ) ) ) ) ).
fof(t69_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  ( (v5_msafree4(E, A, C) &  (v6_msafree4(E, A, C) &  (v7_msafree4(E, A, C) &  (v8_msafree4(E, A, C) & l3_msualg_1(E, A)) ) ) )  =>  (! [F] :  (m1_subset_1(F, k3_card_3(u3_msualg_1(A, E))) =>  ( ~ (r2_hidden(D, k15_msafree5(A, C, E, F)))  => v9_msafree5(F, A, C, E, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d23_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (v10_msafree5(D, A, B, C) <=>  (? [E] :  (m1_msafree4(E, u1_struct_0(A), B, k1_msafree4(u1_struct_0(A), B, C)) & v8_msafree5(D, A, B, k1_msafree3(A, B), C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), B, k1_msafree4(u1_struct_0(A), B, C)) =>  (! [F] :  (m1_msafree4(F, u1_struct_0(A), B, k1_msafree4(u1_struct_0(A), B, D)) =>  ( ~ ( (C=D & E=F) )  <=> v9_msafree5(k6_msafree5(A, B, C, E), A, B, k1_msafree3(A, B), D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_msafree4(F, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, E)) =>  ( (v8_msafree5(k6_msafree5(A, C, B, D), A, C, k1_msafree3(A, C), E, F) & m1_subset_1(k6_msafree5(A, C, B, D), k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))))  <=>  (E=B & D=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t72_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  ( (v8_msafree5(E, A, C, k1_msafree3(A, C), B, D) & m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))))  =>  (v10_msafree5(E, A, C, B) & m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t73_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  ( (v8_msafree5(E, A, C, k1_msafree3(A, C), B, D) & m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))))  => r2_tarski(D, k15_msafree5(A, C, k1_msafree3(A, C), E))) ) ) ) ) ) ) ) ) ) ).
fof(d24_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) & v1_partfun1(D, u1_struct_0(A))) ) ) )  =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), D, k1_msafree4(u1_struct_0(A), D, C)) =>  (! [F] :  (m1_msafree4(F, k3_finseq_2(u1_struct_0(A)), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, D))), k3_msualg_1(A, B, k1_msafree3(A, D))) =>  (v11_msafree5(F, A, B, C, D, E) <=>  (? [G] :  (v7_ordinal1(G) &  (r2_tarski(G, k4_finseq_1(F)) &  ( (v8_msafree5(k1_funct_1(F, G), A, D, k1_msafree3(A, D), C, E) & m1_subset_1(k1_funct_1(F, G), k3_card_3(u3_msualg_1(A, k1_msafree3(A, D)))))  &  (! [H] :  (v7_ordinal1(H) =>  (! [I] :  (m1_subset_1(I, k3_card_3(u3_msualg_1(A, k1_msafree3(A, D)))) =>  ( (r2_tarski(H, k4_finseq_1(F)) & I=k1_funct_1(F, H))  =>  (H=G | v9_msafree5(I, A, D, k1_msafree3(A, D), C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t74_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) & v1_partfun1(D, u1_struct_0(A))) ) ) )  =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), D, k1_msafree4(u1_struct_0(A), D, B)) =>  (! [F] :  (m1_msafree4(F, k3_finseq_2(u1_struct_0(A)), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, D))), k3_msualg_1(A, C, k1_msafree3(A, D))) =>  (v11_msafree5(F, A, C, B, D, E) <=>  (v8_msafree5(k7_msafree5(A, D, C, F), A, D, k1_msafree3(A, D), B, E) & m1_subset_1(k7_msafree5(A, D, C, F), k3_card_3(u3_msualg_1(A, k1_msafree3(A, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) & v1_partfun1(D, u1_struct_0(A))) ) ) )  =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), D, k1_msafree4(u1_struct_0(A), D, B)) =>  (! [F] :  (m1_msafree4(F, k3_finseq_2(u1_struct_0(A)), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, D))), k3_msualg_1(A, C, k1_msafree3(A, D))) =>  ( (! [G] :  (v7_ordinal1(G) =>  (r2_tarski(G, k4_finseq_1(F)) => v9_msafree5(k7_partfun1(k3_card_3(u3_msualg_1(A, k1_msafree3(A, D))), F, G), A, D, k1_msafree3(A, D), B, E)) ) )  <=> v9_msafree5(k7_msafree5(A, D, C, F), A, D, k1_msafree3(A, D), B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t76_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) & v1_partfun1(D, u1_struct_0(A))) ) ) )  =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), D, k1_msafree4(u1_struct_0(A), D, B)) =>  (! [F] :  (m1_msafree4(F, k3_finseq_2(u1_struct_0(A)), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, D))), k3_msualg_1(A, C, k1_msafree3(A, D))) =>  ( (! [G] :  (m1_subset_1(G, k3_card_3(u3_msualg_1(A, k1_msafree3(A, D)))) =>  (r2_tarski(G, k10_xtuple_0(F)) => v9_msafree5(G, A, D, k1_msafree3(A, D), B, E)) ) )  <=> v9_msafree5(k7_msafree5(A, D, C, F), A, D, k1_msafree3(A, D), B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d25_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (v12_msafree5(C, A, B) <=> r2_tarski(B, k10_xtuple_0(k1_msualg_1(A, C)))) ) ) ) ) ) ) ).
fof(d26_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) & v1_partfun1(D, u1_struct_0(A))) ) ) )  =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), D, k1_msafree4(u1_struct_0(A), D, C)) =>  (! [F] :  (m1_msafree4(F, k3_finseq_2(u1_struct_0(A)), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, D))), k3_msualg_1(A, B, k1_msafree3(A, D))) =>  (v11_msafree5(F, A, B, C, D, E) =>  (! [G] :  (v7_ordinal1(G) =>  (G=k16_msafree5(A, B, C, D, E, F) <=>  (v8_msafree5(k1_funct_1(F, G), A, D, k1_msafree3(A, D), C, E) & m1_subset_1(k1_funct_1(F, G), k3_card_3(u3_msualg_1(A, k1_msafree3(A, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d27_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) & v1_partfun1(D, u1_struct_0(A))) ) ) )  =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), D, k1_msafree4(u1_struct_0(A), D, C)) =>  (! [F] :  (m1_msafree4(F, k3_finseq_2(u1_struct_0(A)), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, D))), k3_msualg_1(A, B, k1_msafree3(A, D))) =>  (v11_msafree5(F, A, B, C, D, E) =>  (! [G] :  ( (v8_msafree5(G, A, D, k1_msafree3(A, D), C, E) & m1_subset_1(G, k3_card_3(u3_msualg_1(A, k1_msafree3(A, D)))))  =>  (G=k17_msafree5(A, B, C, D, E, F) <=> r2_tarski(G, k10_xtuple_0(F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t77_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) & v1_partfun1(D, u1_struct_0(A))) ) ) )  =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), D, k1_msafree4(u1_struct_0(A), D, B)) =>  (! [F] :  (m1_msafree4(F, k3_finseq_2(u1_struct_0(A)), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, D))), k3_msualg_1(A, C, k1_msafree3(A, D))) =>  (v11_msafree5(F, A, C, B, D, E) =>  (r2_tarski(k16_msafree5(A, C, B, D, E, F), k4_finseq_1(F)) & k17_msafree5(A, C, B, D, E, F)=k1_funct_1(F, k16_msafree5(A, C, B, D, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t78_msafree5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(B)) =>  (! [E] :  ( (v1_relat_1(E) &  (v2_relat_1(E) &  (v4_relat_1(E, u1_struct_0(B)) &  (v1_funct_1(E) & v1_partfun1(E, u1_struct_0(B))) ) ) )  =>  (! [F] :  (m1_msafree4(F, u1_struct_0(B), E, k1_msafree4(u1_struct_0(B), E, C)) =>  (! [G] :  (m1_msafree4(G, k3_finseq_2(u1_struct_0(B)), k6_finseq_2(u1_struct_0(B), u3_msualg_1(B, k1_msafree3(B, E))), k3_msualg_1(B, D, k1_msafree3(B, E))) =>  ( (v11_msafree5(G, B, D, C, E, F) & r2_tarski(A, k4_finseq_1(G)))  =>  (k16_msafree5(B, D, C, E, F, G)=A | v9_msafree5(k7_partfun1(k3_card_3(u3_msualg_1(B, k1_msafree3(B, E))), G, A), B, E, k1_msafree3(B, E), C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t79_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) & v1_partfun1(D, u1_struct_0(A))) ) ) )  =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), D, k1_msafree4(u1_struct_0(A), D, B)) =>  (! [F] :  (m1_msafree4(F, k3_finseq_2(u1_struct_0(A)), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, D))), k3_msualg_1(A, C, k1_msafree3(A, D))) =>  (v11_msafree5(F, A, C, B, D, E) => r2_finseq_4(F, k17_msafree5(A, C, B, D, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t80_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) & v1_partfun1(D, u1_struct_0(A))) ) ) )  =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), D, k1_msafree4(u1_struct_0(A), D, B)) =>  (! [F] :  (m1_msafree4(F, k3_finseq_2(u1_struct_0(A)), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, D))), k3_msualg_1(A, C, k1_msafree3(A, D))) =>  (v11_msafree5(F, A, C, B, D, E) => k1_finseq_4(F, k17_msafree5(A, C, B, D, E, F))=k16_msafree5(A, C, B, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t81_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  ( (v8_msafree5(E, A, C, k1_msafree3(A, C), B, D) & m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))))  =>  ~ ( ( ~ (E=k6_msafree5(A, C, B, D))  &  (! [F] :  (m1_subset_1(F, u4_struct_0(A)) =>  (! [G] :  (m1_msafree4(G, k3_finseq_2(u1_struct_0(A)), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, C))), k3_msualg_1(A, F, k1_msafree3(A, C))) =>  ~ ( (v11_msafree5(G, A, F, B, C, D) & E=k7_msafree5(A, C, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t82_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))) =>  (! [F] :  (m1_subset_1(F, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))) =>  (v9_msafree5(E, A, C, k1_msafree3(A, C), B, D) => k9_trees_4(E, F, k1_domain_1(k1_msafree4(u1_struct_0(A), C, B), u1_struct_0(A), D, B))=E) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t83_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))) =>  (! [F] :  (m1_subset_1(F, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))) =>  (k3_msafree5(A, k1_msafree3(A, C), F)=B => r2_tarski(k9_trees_4(E, F, k1_domain_1(k1_msafree4(u1_struct_0(A), C, B), u1_struct_0(A), D, B)), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, C)), k3_msafree5(A, k1_msafree3(A, C), E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d28_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), B, k1_msafree4(u1_struct_0(A), B, C)) =>  (! [E] :  ( (v8_msafree5(E, A, B, k1_msafree3(A, B), C, D) & m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))))  =>  (! [F] :  (m1_subset_1(F, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (k3_msafree5(A, k1_msafree3(A, B), F)=C => k18_msafree5(A, B, C, D, E, F)=k9_trees_4(E, F, k1_domain_1(k1_msafree4(u1_struct_0(A), B, C), u1_struct_0(A), D, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t84_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))) =>  (k3_msafree5(A, k1_msafree3(A, C), E)=B => k18_msafree5(A, C, B, D, k6_msafree5(A, C, B, D), E)=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t85_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) &  (v1_partfun1(D, u1_struct_0(A)) & v5_msafree5(D)) ) ) )  =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), D, k1_msafree4(u1_struct_0(A), D, B)) =>  (! [F] :  (m1_msafree4(F, k3_finseq_2(u1_struct_0(A)), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, D))), k3_msualg_1(A, C, k1_msafree3(A, D))) =>  (! [G] :  (m1_subset_1(G, k3_card_3(u3_msualg_1(A, k1_msafree3(A, D)))) =>  ( (v11_msafree5(F, A, C, B, D, E) & k3_msafree5(A, k1_msafree3(A, D), G)=k1_funct_1(k1_msualg_1(A, C), k16_msafree5(A, C, B, D, E, F)))  => r2_tarski(k1_funct_7(F, k16_msafree5(A, C, B, D, E, F), G), k3_msualg_1(A, C, k1_msafree3(A, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t86_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) &  (v1_partfun1(D, u1_struct_0(A)) & v5_msafree5(D)) ) ) )  =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), D, k1_msafree4(u1_struct_0(A), D, B)) =>  (! [F] :  ( (v8_msafree5(F, A, D, k1_msafree3(A, D), B, E) & m1_subset_1(F, k3_card_3(u3_msualg_1(A, k1_msafree3(A, D)))))  =>  (k3_msafree5(A, k1_msafree3(A, D), F)=C =>  (! [G] :  ( (v1_msafree5(G, E) & m1_msafree4(G, u1_struct_0(A), D, k1_msafree4(u1_struct_0(A), D, C)))  =>  (! [H] :  ( (v8_msafree5(H, A, D, k1_msafree3(A, D), C, G) &  (v9_msafree5(H, A, D, k1_msafree3(A, D), B, E) & m1_subset_1(H, k3_card_3(u3_msualg_1(A, k1_msafree3(A, D))))) )  =>  (v8_msafree5(k18_msafree5(A, D, C, G, H, F), A, D, k1_msafree3(A, D), B, E) & m1_subset_1(k18_msafree5(A, D, C, G, H, F), k3_card_3(u3_msualg_1(A, k1_msafree3(A, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t87_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) &  (v1_partfun1(D, u1_struct_0(A)) & v5_msafree5(D)) ) ) )  =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), D, k1_msafree4(u1_struct_0(A), D, B)) =>  (! [F] :  ( (v8_msafree5(F, A, D, k1_msafree3(A, D), B, E) & m1_subset_1(F, k3_card_3(u3_msualg_1(A, k1_msafree3(A, D)))))  =>  (! [G] :  (m1_msafree4(G, k3_finseq_2(u1_struct_0(A)), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, D))), k3_msualg_1(A, C, k1_msafree3(A, D))) =>  (! [H] :  (m1_msafree4(H, k3_finseq_2(u1_struct_0(A)), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, D))), k3_msualg_1(A, C, k1_msafree3(A, D))) =>  (! [I] :  (m1_subset_1(I, k3_card_3(u3_msualg_1(A, k1_msafree3(A, D)))) =>  ( (v11_msafree5(G, A, C, B, D, E) &  (F=k7_msafree5(A, D, C, G) &  (H=k1_funct_7(G, k16_msafree5(A, C, B, D, E, G), k18_msafree5(A, D, B, E, k17_msafree5(A, C, B, D, E, G), I)) & k3_msafree5(A, k1_msafree3(A, D), I)=B) ) )  => k18_msafree5(A, D, B, E, F, I)=k7_msafree5(A, D, C, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t88_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))) =>  (! [F] :  ( (v8_msafree5(F, A, C, k1_msafree3(A, C), B, D) & m1_subset_1(F, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))))  => k3_msafree5(A, k1_msafree3(A, C), k18_msafree5(A, C, B, D, F, E))=k3_msafree5(A, k1_msafree3(A, C), F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t89_msafree5, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (! [E] :  (m1_msafree4(E, u1_struct_0(B), D, k1_msafree4(u1_struct_0(B), D, C)) =>  (! [F] :  (m1_subset_1(F, k3_card_3(u3_msualg_1(B, k1_msafree3(B, D)))) =>  (k1_funct_1(F, A)=k1_domain_1(k1_msafree4(u1_struct_0(B), D, C), u1_struct_0(B), E, C) => r2_hidden(A, k3_trees_1(k9_xtuple_0(F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t90_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))) =>  (! [F] :  ( (v8_msafree5(F, A, C, k1_msafree3(A, C), B, D) & m1_subset_1(F, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))))  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_msafree4(H, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, G)) =>  ( (k3_msafree5(A, k1_msafree3(A, C), E)=B &  (v9_msafree5(F, A, C, k1_msafree3(A, C), G, H) & v9_msafree5(E, A, C, k1_msafree3(A, C), G, H)) )  => v9_msafree5(k18_msafree5(A, C, B, D, F, E), A, C, k1_msafree3(A, C), G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t91_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) & v1_partfun1(D, u1_struct_0(A))) ) ) )  =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), D, k1_msafree4(u1_struct_0(A), D, B)) =>  (! [F] :  (m1_msafree4(F, k3_finseq_2(u1_struct_0(A)), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, D))), k3_msualg_1(A, C, k1_msafree3(A, D))) =>  (v11_msafree5(F, A, C, B, D, E) => k3_msafree5(A, k1_msafree3(A, D), k17_msafree5(A, C, B, D, E, F))=k1_funct_1(k1_msualg_1(A, C), k16_msafree5(A, C, B, D, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t92_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v1_msafree1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_msafree4(E, k3_finseq_2(u1_struct_0(A)), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, B)), k3_msualg_1(A, D, B)) =>  (! [F] :  (m1_msafree4(F, k3_finseq_2(u1_struct_0(A)), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, B)), k3_msualg_1(A, D, B)) =>  (! [G] :  (m2_pboole(G, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (! [H] :  (m1_subset_1(H, k3_card_3(u3_msualg_1(A, B))) =>  (! [I] :  (v7_ordinal1(I) =>  ( (r2_tarski(I, k4_finseq_1(E)) & F=k1_funct_7(E, I, H))  => k5_msualg_3(A, B, C, D, G, F)=k1_funct_7(k5_msualg_3(A, B, C, D, G, E), I, k4_msafree5(A, B, C, G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t93_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) & v5_msafree5(C)) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  ( (v5_msafree4(E, A, C) &  (v6_msafree4(E, A, C) &  (v7_msafree4(E, A, C) &  (v8_msafree4(E, A, C) & l3_msualg_1(E, A)) ) ) )  =>  (! [F] :  ( (v8_msafree5(F, A, C, k1_msafree3(A, C), B, D) & m1_subset_1(F, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))))  =>  (! [G] :  (m1_subset_1(G, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))) =>  (k3_msafree5(A, k1_msafree3(A, C), G)=B => k4_msafree5(A, k1_msafree3(A, C), E, k5_msafree5(A, C, E), k18_msafree5(A, C, B, D, F, G))=k4_msafree5(A, k1_msafree3(A, C), E, k5_msafree5(A, C, E), k18_msafree5(A, C, B, D, F, k1_msafree5(A, C, E, k4_msafree5(A, k1_msafree3(A, C), E, k5_msafree5(A, C, E), G))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d29_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), B, k1_msafree4(u1_struct_0(A), B, D)) =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, C)) =>  (v13_msafree5(F, A, B, C, D, E) <=>  (k4_msafree5(A, k1_msafree3(A, B), C, F, k6_msafree5(A, B, D, E))=k6_msafree5(A, B, D, E) &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_msafree4(H, u1_struct_0(A), B, k1_msafree4(u1_struct_0(A), B, G)) =>  ( ~ ( (H=E & D=G) )  => v9_msafree5(k4_msafree5(A, k1_msafree3(A, B), C, F, k6_msafree5(A, B, G, H)), A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t94_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  ( (v5_msafree4(E, A, C) &  (v6_msafree4(E, A, C) &  (v7_msafree4(E, A, C) &  (v8_msafree4(E, A, C) & l3_msualg_1(E, A)) ) ) )  => v13_msafree5(k5_msafree5(A, C, E), A, C, E, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(d30_msafree5, axiom,  (! [A] :  (! [B] : k19_msafree5(A, B)=k2_tarski(k4_tarski(A, B), k4_tarski(B, A))) ) ).
fof(t95_msafree5, axiom,  (! [A] :  (! [B] :  (k9_xtuple_0(k19_msafree5(A, B))=k2_tarski(A, B) &  (k1_funct_1(k19_msafree5(A, B), A)=B &  (k1_funct_1(k19_msafree5(A, B), B)=A & k10_xtuple_0(k19_msafree5(A, B))=k2_tarski(A, B)) ) ) ) ) ).
fof(d31_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), B, k1_msafree4(u1_struct_0(A), B, D)) =>  (! [F] :  (m1_msafree4(F, u1_struct_0(A), B, k1_msafree4(u1_struct_0(A), B, D)) =>  (! [G] :  (m1_msualg_6(G, A, C) =>  (G=k22_msafree5(A, B, C, D, E, F) <=>  (k1_funct_1(k2_msafree4(u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, C), G, D), k6_msafree5(A, B, D, E))=k6_msafree5(A, B, D, F) &  (k1_funct_1(k2_msafree4(u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, C), G, D), k6_msafree5(A, B, D, F))=k6_msafree5(A, B, D, E) &  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_msafree4(I, u1_struct_0(A), B, k1_msafree4(u1_struct_0(A), B, H)) =>  ( ~ ( (H=D &  ~ ( ( ~ (I=E)  &  ~ (I=F) ) ) ) )  => k1_funct_1(k2_msafree4(u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, C), G, H), k6_msafree5(A, B, H, I))=k6_msafree5(A, B, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t96_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (m1_msualg_6(D, A, C) =>  ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_msafree4(F, u1_struct_0(A), B, k1_msafree4(u1_struct_0(A), B, E)) => k1_funct_1(k2_msafree4(u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, C), D, E), k6_msafree5(A, B, E, F))=k6_msafree5(A, B, E, F)) ) ) )  => r8_pboole(u1_struct_0(A), D, k2_msualg_3(u1_struct_0(A), u3_msualg_1(A, C)))) ) ) ) ) ) ) ) ) ).
fof(t97_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  ( (v5_msafree4(E, A, C) &  (v6_msafree4(E, A, C) &  (v7_msafree4(E, A, C) &  (v8_msafree4(E, A, C) & l3_msualg_1(E, A)) ) ) )  => r8_pboole(u1_struct_0(A), k22_msafree5(A, C, E, B, D, D), k2_msualg_3(u1_struct_0(A), u3_msualg_1(A, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t98_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [F] :  ( (v5_msafree4(F, A, C) &  (v6_msafree4(F, A, C) &  (v7_msafree4(F, A, C) &  (v8_msafree4(F, A, C) & l3_msualg_1(F, A)) ) ) )  => r8_pboole(u1_struct_0(A), k22_msafree5(A, C, F, B, D, E), k22_msafree5(A, C, F, B, E, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t99_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [F] :  ( (v5_msafree4(F, A, C) &  (v6_msafree4(F, A, C) &  (v7_msafree4(F, A, C) &  (v8_msafree4(F, A, C) & l3_msualg_1(F, A)) ) ) )  => r8_pboole(u1_struct_0(A), k2_msualg_6(A, F, k22_msafree5(A, C, F, B, D, E), k22_msafree5(A, C, F, B, D, E)), k2_msualg_3(u1_struct_0(A), u3_msualg_1(A, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t100_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [F] :  ( (v5_msafree4(F, A, C) &  (v6_msafree4(F, A, C) &  (v7_msafree4(F, A, C) &  (v8_msafree4(F, A, C) & l3_msualg_1(F, A)) ) ) )  =>  (! [G] :  (m1_subset_1(G, k3_card_3(u3_msualg_1(A, F))) =>  ( (v9_msafree5(G, A, C, F, B, D) & v9_msafree5(G, A, C, F, B, E))  => k4_msafree5(A, F, F, k22_msafree5(A, C, F, B, D, E), G)=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t101_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [F] :  ( (v5_msafree4(F, A, C) &  (v6_msafree4(F, A, C) &  (v7_msafree4(F, A, C) &  (v8_msafree4(F, A, C) & l3_msualg_1(F, A)) ) ) )  => r8_pboole(u1_struct_0(A), k3_msualg_3(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, C)), u3_msualg_1(A, k1_msafree3(A, C)), u3_msualg_1(A, F), k22_msafree5(A, C, k1_msafree3(A, C), B, D, E), k5_msafree5(A, C, F)), k3_msualg_3(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, C)), u3_msualg_1(A, F), u3_msualg_1(A, F), k5_msafree5(A, C, F), k22_msafree5(A, C, F, B, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t102_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [F] :  ( (v5_msafree4(F, A, C) &  (v6_msafree4(F, A, C) &  (v7_msafree4(F, A, C) &  (v8_msafree4(F, A, C) & l3_msualg_1(F, A)) ) ) )  =>  (! [G] :  (m1_msafree4(G, u1_struct_0(A), u3_msualg_1(A, F), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, F), B)) => k1_msafree4(k1_msafree4(u1_struct_0(A), u3_msualg_1(A, F), B), k2_msafree4(u1_struct_0(A), u3_msualg_1(A, F), u3_msualg_1(A, F), k22_msafree5(A, C, F, B, D, E), B), G)=k1_funct_1(k2_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, C)), u3_msualg_1(A, F), k3_msualg_3(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, C)), u3_msualg_1(A, k1_msafree3(A, C)), u3_msualg_1(A, F), k22_msafree5(A, C, k1_msafree3(A, C), B, D, E), k5_msafree5(A, C, F)), B), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t103_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [F] :  (m1_subset_1(F, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))) =>  (v9_msafree5(F, A, C, k1_msafree3(A, C), B, E) =>  (D=E | v9_msafree5(k4_msafree5(A, k1_msafree3(A, C), k1_msafree3(A, C), k22_msafree5(A, C, k1_msafree3(A, C), B, D, E), F), A, C, k1_msafree3(A, C), B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t104_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) & v6_msafree5(C)) ) ) )  =>  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(k3_card_3(u3_msualg_1(A, k1_msafree3(A, C))))))  =>  (? [E] :  (m1_msafree4(E, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) &  (! [F] :  (m1_subset_1(F, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))) =>  (r2_tarski(F, D) => v9_msafree5(F, A, C, k1_msafree3(A, C), B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d32_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (v14_msafree5(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_msafree4(E, k3_finseq_2(u1_struct_0(A)), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, C)), k3_msualg_1(A, D, C)) =>  (k1_msafree4(k3_msualg_1(A, D, C), k5_msualg_1(A, D, C), E)=k1_funct_1(k5_msualg_1(A, D, k1_msafree3(A, B)), E) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_msafree4(G, u1_struct_0(A), B, k1_msafree4(u1_struct_0(A), B, F)) =>  (! [H] :  (m1_msafree4(H, u1_struct_0(A), B, k1_msafree4(u1_struct_0(A), B, F)) => k1_msafree4(k3_msualg_1(A, D, C), k5_msualg_1(A, D, C), k5_msualg_3(A, C, C, D, k22_msafree5(A, B, C, F, G, H), E))=k1_funct_1(k5_msualg_1(A, D, k1_msafree3(A, B)), k5_msualg_3(A, C, C, D, k22_msafree5(A, B, C, F, G, H), E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t105_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [F] :  ( (v5_msafree4(F, A, C) &  (v6_msafree4(F, A, C) &  (v7_msafree4(F, A, C) &  (v8_msafree4(F, A, C) & l3_msualg_1(F, A)) ) ) )  =>  (v14_msafree5(F, A, C) =>  (! [G] :  (m1_msafree4(G, u1_struct_0(A), u3_msualg_1(A, F), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, F), B)) => k1_msafree4(k1_msafree4(u1_struct_0(A), u3_msualg_1(A, F), B), k2_msafree4(u1_struct_0(A), u3_msualg_1(A, F), u3_msualg_1(A, F), k22_msafree5(A, C, F, B, D, E), B), G)=k1_funct_1(k2_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, C)), u3_msualg_1(A, k1_msafree3(A, C)), k22_msafree5(A, C, k1_msafree3(A, C), B, D, E), B), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t106_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [F] :  ( (v5_msafree4(F, A, C) &  (v6_msafree4(F, A, C) &  (v7_msafree4(F, A, C) &  (v8_msafree4(F, A, C) & l3_msualg_1(F, A)) ) ) )  =>  (! [G] :  (m1_subset_1(G, k3_card_3(u3_msualg_1(A, F))) =>  ( (v14_msafree5(F, A, C) & v9_msafree5(G, A, C, F, B, E))  =>  (D=E | v9_msafree5(k4_msafree5(A, F, F, k22_msafree5(A, C, F, B, D, E), G), A, C, F, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t107_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) & v6_msafree5(C)) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  ( (v5_msafree4(E, A, C) &  (v6_msafree4(E, A, C) &  (v7_msafree4(E, A, C) &  (v8_msafree4(E, A, C) & l3_msualg_1(E, A)) ) ) )  =>  (! [F] :  (m1_subset_1(F, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))) =>  ( (v14_msafree5(E, A, C) & v9_msafree5(F, A, C, k1_msafree3(A, C), B, D))  => v9_msafree5(k4_msafree5(A, k1_msafree3(A, C), E, k5_msafree5(A, C, E), F), A, C, E, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t108_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) &  (v1_partfun1(D, u1_struct_0(A)) & v6_msafree5(D)) ) ) )  =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), D, k1_msafree4(u1_struct_0(A), D, B)) =>  (! [F] :  ( (v5_msafree4(F, A, D) &  (v6_msafree4(F, A, D) &  (v7_msafree4(F, A, D) &  (v8_msafree4(F, A, D) & l3_msualg_1(F, A)) ) ) )  =>  (v14_msafree5(F, A, D) =>  (! [G] :  (m1_msafree4(G, k3_finseq_2(u1_struct_0(A)), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, F)), k3_msualg_1(A, C, F)) =>  ( (! [H] :  (m1_subset_1(H, k3_card_3(u3_msualg_1(A, F))) =>  (r2_tarski(H, k10_xtuple_0(G)) => v9_msafree5(H, A, D, F, B, E)) ) )  =>  (! [H] :  (m1_subset_1(H, k3_card_3(u3_msualg_1(A, F))) =>  (H=k1_msafree4(k3_msualg_1(A, C, F), k5_msualg_1(A, C, F), G) => v9_msafree5(H, A, D, F, B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t109_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) & v6_msafree5(C)) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  ( (v5_msafree4(E, A, C) &  (v6_msafree4(E, A, C) &  (v7_msafree4(E, A, C) &  (v8_msafree4(E, A, C) & l3_msualg_1(E, A)) ) ) )  =>  (! [F] :  (m1_subset_1(F, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))) =>  (! [G] :  ( (v13_msafree5(G, A, C, E, B, D) & m1_msafree5(G, A, k1_msafree3(A, C), E))  =>  ( (v14_msafree5(E, A, C) & v9_msafree5(F, A, C, k1_msafree3(A, C), B, D))  => v9_msafree5(k4_msafree5(A, k1_msafree3(A, C), E, G, F), A, C, E, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t110_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [F] :  ( (v3_msualg_6(F, A, k1_msafree3(A, C)) &  (v4_msualg_6(F, A, k1_msafree3(A, C)) &  (v12_msafree4(F, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, C))) &  (v13_msafree4(F, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, C))) &  (v14_msafree4(F, A, C) & m1_msualg_4(F, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, C)), u3_msualg_1(A, k1_msafree3(A, C)))) ) ) ) )  =>  ( (! [G] :  (m1_subset_1(G, k3_card_3(u3_msualg_1(A, k10_msafree4(A, C, F)))) => k1_funct_1(k2_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, C)), u3_msualg_1(A, k1_msafree3(A, C)), k22_msafree5(A, C, k1_msafree3(A, C), B, D, E), k3_msafree5(A, k10_msafree4(A, C, F), G)), G)=k4_msafree5(A, k10_msafree4(A, C, F), k10_msafree4(A, C, F), k22_msafree5(A, C, k10_msafree4(A, C, F), B, D, E), G)) )  & r8_pboole(u1_struct_0(A), k1_msafree(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, C)), u3_msualg_1(A, k1_msafree3(A, C)), k9_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, C)), F), k22_msafree5(A, C, k1_msafree3(A, C), B, D, E)), k22_msafree5(A, C, k10_msafree4(A, C, F), B, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t111_msafree5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(B)) =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (! [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(B, k1_msafree3(B, D)))) =>  (! [F] :  (m1_subset_1(F, k3_card_3(u3_msualg_1(B, k1_msafree3(B, D)))) =>  (! [G] :  (m1_msafree4(G, k3_finseq_2(u1_struct_0(B)), k6_finseq_2(u1_struct_0(B), u3_msualg_1(B, k1_msafree3(B, D))), k3_msualg_1(B, C, k1_msafree3(B, D))) =>  (! [H] :  ( (v3_msualg_6(H, B, k1_msafree3(B, D)) &  (v4_msualg_6(H, B, k1_msafree3(B, D)) &  (v12_msafree4(H, u1_struct_0(B), u3_msualg_1(B, k1_msafree3(B, D))) &  (v13_msafree4(H, u1_struct_0(B), u3_msualg_1(B, k1_msafree3(B, D))) &  (v14_msafree4(H, B, D) & m1_msualg_4(H, u1_struct_0(B), u3_msualg_1(B, k1_msafree3(B, D)), u3_msualg_1(B, k1_msafree3(B, D)))) ) ) ) )  =>  ( (r2_tarski(A, k4_finseq_1(G)) & r1_rewrite1(k7_msafree4(u1_struct_0(B), u3_msualg_1(B, k1_msafree3(B, D)), u3_msualg_1(B, k1_msafree3(B, D)), H, k7_partfun1(u1_struct_0(B), k1_msualg_1(B, C), A)), E, F))  => r1_rewrite1(k7_msafree4(u1_struct_0(B), u3_msualg_1(B, k1_msafree3(B, D)), u3_msualg_1(B, k1_msafree3(B, D)), H, k2_msualg_1(B, C)), k1_funct_1(k5_msualg_1(B, C, k1_msafree3(B, D)), k1_funct_7(G, A, E)), k1_funct_1(k5_msualg_1(B, C, k1_msafree3(B, D)), k1_funct_7(G, A, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t112_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v3_msualg_6(C, A, k1_msafree3(A, B)) &  (v4_msualg_6(C, A, k1_msafree3(A, B)) &  (v12_msafree4(C, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B))) &  (v13_msafree4(C, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B))) &  (v14_msafree4(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, k1_msafree3(A, B)))) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) => r1_rewrite1(k7_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, k1_msafree3(A, B)), C, k3_msafree5(A, k1_msafree3(A, B), D)), D, k4_msafree5(A, k1_msafree3(A, B), k10_msafree4(A, B, C), k5_msafree5(A, B, k10_msafree4(A, B, C)), D))) ) ) ) ) ) ) ) ).
fof(t113_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v3_msualg_6(C, A, k1_msafree3(A, B)) &  (v4_msualg_6(C, A, k1_msafree3(A, B)) &  (v12_msafree4(C, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B))) &  (v13_msafree4(C, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B))) &  (v14_msafree4(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, k1_msafree3(A, B)))) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_msafree4(E, k3_finseq_2(u1_struct_0(A)), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B))), k3_msualg_1(A, D, k1_msafree3(A, B))) => r1_rewrite1(k7_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, k1_msafree3(A, B)), C, k2_msualg_1(A, D)), k7_msafree5(A, B, D, E), k1_msafree4(k3_msualg_1(A, D, k10_msafree4(A, B, C)), k5_msualg_1(A, D, k10_msafree4(A, B, C)), k5_msualg_3(A, k1_msafree3(A, B), k10_msafree4(A, B, C), D, k5_msafree5(A, B, k10_msafree4(A, B, C)), E)))) ) ) ) ) ) ) ) ) ) ).
fof(t114_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v3_msualg_6(C, A, k1_msafree3(A, B)) &  (v4_msualg_6(C, A, k1_msafree3(A, B)) &  (v12_msafree4(C, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B))) &  (v13_msafree4(C, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B))) &  (v14_msafree4(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, k1_msafree3(A, B)))) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_msafree4(E, k3_finseq_2(u1_struct_0(A)), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B))), k3_msualg_1(A, D, k1_msafree3(A, B))) =>  (! [F] :  (m1_msafree4(F, k3_finseq_2(u1_struct_0(A)), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, k10_msafree4(A, B, C))), k3_msualg_1(A, D, k10_msafree4(A, B, C))) =>  (E=F => r1_rewrite1(k7_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, k1_msafree3(A, B)), C, k2_msualg_1(A, D)), k7_msafree5(A, B, D, E), k1_msafree4(k3_msualg_1(A, D, k10_msafree4(A, B, C)), k5_msualg_1(A, D, k10_msafree4(A, B, C)), F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d33_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v15_msafree5(C, A, B) <=> r1_rewrite1(k3_msualg_6(A), B, C)) ) ) ) ) ) ) ).
fof(t115_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) & v5_msafree5(C)) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  ( (v8_msafree5(E, A, C, k1_msafree3(A, C), B, D) & m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))))  => r1_rewrite1(k3_msualg_6(A), B, k3_msafree5(A, k1_msafree3(A, C), E))) ) ) ) ) ) ) ) ) ) ).
fof(d34_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), B, k1_msafree4(u1_struct_0(A), B, C)) =>  (! [E] :  ( (v8_msafree5(E, A, B, k1_msafree3(A, B), C, D) & m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))))  =>  (v16_msafree5(E, A, B, C, D) <=>  (? [F] :  (m1_subset_1(F, u4_struct_0(A)) &  (? [G] :  (m1_msafree4(G, k3_finseq_2(u1_struct_0(A)), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B))), k3_msualg_1(A, F, k1_msafree3(A, B))) &  (E=k7_msafree5(A, B, F, G) & k17_msafree5(A, F, C, B, D, G)=k6_msafree5(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d35_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), B, k1_msafree4(u1_struct_0(A), B, C)) =>  (! [E] :  ( (v8_msafree5(E, A, B, k1_msafree3(A, B), C, D) & m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k1_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), C), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), k3_msafree5(A, k1_msafree3(A, B), E))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), C), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), k3_msafree5(A, k1_msafree3(A, B), E)))))) )  =>  (F=k24_msafree5(A, B, C, D, E) <=>  (! [G] :  (m1_subset_1(G, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (k3_msafree5(A, k1_msafree3(A, B), G)=C => k1_funct_1(F, G)=k18_msafree5(A, B, C, D, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t116_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  ( (v8_msafree5(E, A, C, k1_msafree3(A, C), B, D) & m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))))  =>  (E=k6_msafree5(A, C, B, D) => r8_pboole(k1_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, C)), B), k24_msafree5(A, C, B, D, E), k6_partfun1(k1_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, C)), B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t117_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) &  (v1_partfun1(D, u1_struct_0(A)) & v5_msafree5(D)) ) ) )  =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), D, k1_msafree4(u1_struct_0(A), D, B)) =>  (! [F] :  (m1_subset_1(F, k3_card_3(u3_msualg_1(A, k1_msafree3(A, D)))) =>  (! [G] :  (m1_msafree4(G, k3_finseq_2(u1_struct_0(A)), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, D))), k3_msualg_1(A, C, k1_msafree3(A, D))) =>  (! [H] :  (m1_msafree4(H, k3_finseq_2(u1_struct_0(A)), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, D))), k3_msualg_1(A, C, k1_msafree3(A, D))) =>  (! [I] :  ( (v8_msafree5(I, A, D, k1_msafree3(A, D), B, E) & m1_subset_1(I, k3_card_3(u3_msualg_1(A, k1_msafree3(A, D)))))  =>  ( (I=k7_msafree5(A, D, C, G) &  (k17_msafree5(A, C, B, D, E, G)=k6_msafree5(A, D, B, E) & H=k1_funct_7(G, k16_msafree5(A, C, B, D, E, G), F)) )  => k18_msafree5(A, D, B, E, I, F)=k7_msafree5(A, D, C, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t118_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) & v5_msafree5(C)) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  ( (v8_msafree5(E, A, C, k1_msafree3(A, C), B, D) & m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))))  =>  (v16_msafree5(E, A, C, B, D) => r1_msualg_6(A, B, k3_msafree5(A, k1_msafree3(A, C), E), k1_msafree3(A, C), k24_msafree5(A, C, B, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t119_msafree5, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(B)) =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(B)) &  (v1_funct_1(E) &  (v1_partfun1(E, u1_struct_0(B)) & v6_msafree5(E)) ) ) )  =>  (! [F] :  (m1_msafree4(F, k3_finseq_2(u1_struct_0(B)), k6_finseq_2(u1_struct_0(B), u3_msualg_1(B, k1_msafree3(B, E))), k3_msualg_1(B, D, k1_msafree3(B, E))) =>  (! [G] :  (v1_finset_1(G) =>  ~ ( (r2_tarski(A, k4_finseq_1(F)) &  (k7_partfun1(u1_struct_0(B), k1_msualg_1(B, D), A)=C &  (! [H] :  (m1_msafree4(H, u1_struct_0(B), E, k1_msafree4(u1_struct_0(B), E, C)) =>  (! [I] :  ( (v8_msafree5(I, B, E, k1_msafree3(B, E), C, H) & m1_subset_1(I, k3_card_3(u3_msualg_1(B, k1_msafree3(B, E)))))  =>  (! [J] :  (m1_msafree4(J, k3_finseq_2(u1_struct_0(B)), k6_finseq_2(u1_struct_0(B), u3_msualg_1(B, k1_msafree3(B, E))), k3_msualg_1(B, D, k1_msafree3(B, E))) =>  ~ ( ( ~ (r2_hidden(H, G))  &  (I=k7_msafree5(B, E, D, J) &  (J=k1_funct_7(F, A, k6_msafree5(B, E, C, H)) &  (v11_msafree5(J, B, D, C, E, H) &  (A=k16_msafree5(B, D, C, E, H, J) & k17_msafree5(B, D, C, E, H, J)=k6_msafree5(B, E, C, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t120_msafree5, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(B)) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v1_partfun1(D, u1_struct_0(B)) & v6_msafree5(D)) ) ) )  =>  (! [E] :  (m1_msafree4(E, k3_finseq_2(u1_struct_0(B)), k6_finseq_2(u1_struct_0(B), u3_msualg_1(B, k1_msafree3(B, D))), k3_msualg_1(B, C, k1_msafree3(B, D))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (v1_finset_1(H) =>  ~ ( (r2_tarski(A, k4_finseq_1(E)) &  (F=k7_partfun1(u1_struct_0(B), k1_msualg_1(B, C), A) &  (! [I] :  (m1_msafree4(I, u1_struct_0(B), D, k1_msafree4(u1_struct_0(B), D, F)) =>  (! [J] :  ( (v8_msafree5(J, B, D, k1_msafree3(B, D), F, I) & m1_subset_1(J, k3_card_3(u3_msualg_1(B, k1_msafree3(B, D)))))  =>  (! [K] :  (m1_msafree4(K, k3_finseq_2(u1_struct_0(B)), k6_finseq_2(u1_struct_0(B), u3_msualg_1(B, k1_msafree3(B, D))), k3_msualg_1(B, C, k1_msafree3(B, D))) =>  ~ ( ( ~ (r2_hidden(I, H))  &  (K=k1_funct_7(E, A, k6_msafree5(B, D, F, I)) &  (v11_msafree5(K, B, C, F, D, I) &  (k17_msafree5(B, C, F, D, I, K)=k6_msafree5(B, D, F, I) &  (J=k7_msafree5(B, D, C, K) &  (A=k16_msafree5(B, C, F, D, I, K) & k24_msafree5(B, D, F, I, J)=k4_msualg_6(B, C, A, k1_msafree3(B, D), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t121_msafree5, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (! [E] :  (m1_msafree4(E, u1_struct_0(B), D, k1_msafree4(u1_struct_0(B), D, C)) =>  (! [F] :  (m1_subset_1(F, k3_card_3(u3_msualg_1(B, k1_msafree3(B, D)))) =>  (! [G] :  ( (v8_msafree5(G, B, D, k1_msafree3(B, D), C, E) & m1_subset_1(G, k3_card_3(u3_msualg_1(B, k1_msafree3(B, D)))))  =>  ( (v5_msafree5(D) & k3_msafree5(B, k1_msafree3(B, D), F)=C)  => r1_ordinal1(k1_card_1(k10_relat_1(F, A)), k1_card_1(k10_relat_1(k18_msafree5(B, D, C, E, G, F), A)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t122_msafree5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(B)) =>  (! [E] :  ( (v1_relat_1(E) &  (v2_relat_1(E) &  (v4_relat_1(E, u1_struct_0(B)) &  (v1_funct_1(E) & v1_partfun1(E, u1_struct_0(B))) ) ) )  =>  (! [F] :  (m1_msafree4(F, u1_struct_0(B), E, k1_msafree4(u1_struct_0(B), E, C)) =>  (! [G] :  (m1_msafree4(G, k3_finseq_2(u1_struct_0(B)), k6_finseq_2(u1_struct_0(B), u3_msualg_1(B, k1_msafree3(B, E))), k3_msualg_1(B, D, k1_msafree3(B, E))) =>  ( (v11_msafree5(G, B, D, C, E, F) & r2_tarski(A, k4_finseq_1(G)))  =>  ( ~ (v9_msafree5(k7_partfun1(k3_card_3(u3_msualg_1(B, k1_msafree3(B, E))), G, A), B, E, k1_msafree3(B, E), C, F))  <=> v8_msafree5(k7_partfun1(k3_card_3(u3_msualg_1(B, k1_msafree3(B, E))), G, A), B, E, k1_msafree3(B, E), C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t123_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) & v1_partfun1(D, u1_struct_0(A))) ) ) )  =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), D, k1_msafree4(u1_struct_0(A), D, B)) =>  (! [F] :  ( (v8_msafree5(F, A, D, k1_msafree3(A, D), B, E) & m1_subset_1(F, k3_card_3(u3_msualg_1(A, k1_msafree3(A, D)))))  =>  ( (v5_msafree5(D) & k3_msafree5(A, k1_msafree3(A, D), F)=C)  =>  (! [G] :  (m1_msafree4(G, u1_struct_0(A), D, k1_msafree4(u1_struct_0(A), D, C)) =>  (! [H] :  ( (v8_msafree5(H, A, D, k1_msafree3(A, D), C, G) & m1_subset_1(H, k3_card_3(u3_msualg_1(A, k1_msafree3(A, D)))))  =>  (! [I] :  ( (v8_msafree5(I, A, D, k1_msafree3(A, D), B, E) & m1_subset_1(I, k3_card_3(u3_msualg_1(A, k1_msafree3(A, D)))))  =>  (I=k18_msafree5(A, D, C, G, H, F) =>  (! [J] :  (m1_subset_1(J, k3_card_3(u3_msualg_1(A, k1_msafree3(A, D)))) =>  (k3_msafree5(A, k1_msafree3(A, D), J)=B => k18_msafree5(A, D, B, E, I, J)=k18_msafree5(A, D, C, G, H, k18_msafree5(A, D, B, E, F, J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t124_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) & v1_partfun1(D, u1_struct_0(A))) ) ) )  =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), D, k1_msafree4(u1_struct_0(A), D, B)) =>  (! [F] :  ( (v8_msafree5(F, A, D, k1_msafree3(A, D), B, E) & m1_subset_1(F, k3_card_3(u3_msualg_1(A, k1_msafree3(A, D)))))  =>  ( (v5_msafree5(D) & k3_msafree5(A, k1_msafree3(A, D), F)=C)  =>  (! [G] :  (m1_msafree4(G, u1_struct_0(A), D, k1_msafree4(u1_struct_0(A), D, C)) =>  (! [H] :  ( (v8_msafree5(H, A, D, k1_msafree3(A, D), C, G) & m1_subset_1(H, k3_card_3(u3_msualg_1(A, k1_msafree3(A, D)))))  =>  (! [I] :  ( (v8_msafree5(I, A, D, k1_msafree3(A, D), B, E) & m1_subset_1(I, k3_card_3(u3_msualg_1(A, k1_msafree3(A, D)))))  =>  (I=k18_msafree5(A, D, C, G, H, F) => k24_msafree5(A, D, B, E, I)=k1_partfun1(k1_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, D)), B), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, D)), k3_msafree5(A, k1_msafree3(A, D), F)), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, D)), C), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, D)), k3_msafree5(A, k1_msafree3(A, D), H)), k24_msafree5(A, D, B, E, F), k24_msafree5(A, D, C, G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t125_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) & v6_msafree5(C)) ) ) )  =>  (! [D] :  ( (v15_msafree5(D, A, B) & m1_subset_1(D, u1_struct_0(A)))  =>  (! [E] :  (m2_msualg_6(E, A, k1_msafree3(A, C), B, D) =>  (? [F] :  (m1_msafree4(F, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) &  (? [G] :  ( (v8_msafree5(G, A, C, k1_msafree3(A, C), B, F) & m1_subset_1(G, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))))  &  (k3_msafree5(A, k1_msafree3(A, C), G)=D & r8_pboole(k1_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, C)), B), E, k24_msafree5(A, C, B, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t126_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (m1_msualg_6(D, A, k1_msafree3(A, B)) =>  (? [E] :  (m1_msualg_6(E, A, C) &  (r8_pboole(u1_struct_0(A), k3_msualg_3(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, C), D, k5_msafree5(A, B, C)), k3_msualg_3(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), u3_msualg_1(A, C), u3_msualg_1(A, C), k5_msafree5(A, B, C), E)) &  (! [F] :  (m1_subset_1(F, k3_card_3(u3_msualg_1(A, C))) => k4_msafree5(A, C, C, E, F)=k4_msafree5(A, k1_msafree3(A, B), C, k5_msafree5(A, B, C), k4_msafree5(A, k1_msafree3(A, B), k1_msafree3(A, B), D, k1_msafree5(A, B, C, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t127_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (m1_msualg_6(D, A, k1_msafree3(A, B)) =>  (! [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) => k4_msafree5(A, k1_msafree3(A, B), C, k5_msafree5(A, B, C), k4_msafree5(A, k1_msafree3(A, B), k1_msafree3(A, B), D, E))=k4_msafree5(A, k1_msafree3(A, B), C, k5_msafree5(A, B, C), k4_msafree5(A, k1_msafree3(A, B), k1_msafree3(A, B), D, k1_msafree5(A, B, C, k4_msafree5(A, k1_msafree3(A, B), C, k5_msafree5(A, B, C), E))))) ) ) ) ) ) ) ) ) ) ).
fof(d36_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, k3_card_3(B)) =>  (v17_msafree5(D, A, B, C) <=>  (k4_finseq_1(D)=k4_finseq_1(C) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(C)) => r2_tarski(k1_funct_1(D, E), k1_funct_1(B, k1_funct_1(C, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d37_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (v18_msafree5(D, A, B, C) <=>  (k4_finseq_1(D)=k4_finseq_1(C) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(C)) => r2_tarski(k1_funct_1(D, E), k1_funct_1(u3_msualg_1(A, k1_msafree3(A, B)), k1_funct_1(C, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d38_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m2_finseq_1(C, u1_struct_0(A)))  =>  (! [D] :  ( (v17_msafree5(D, A, B, C) & m2_finseq_1(D, k3_card_3(B)))  =>  (! [E] :  (m2_finseq_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (v19_msafree5(E, A, B, C, D) <=>  (k4_finseq_1(E)=k4_finseq_1(C) &  (! [F] :  (m2_subset_1(F, k4_ordinal1, k4_finseq_1(C)) =>  (v8_msafree5(k1_funct_1(E, F), A, B, k1_msafree3(A, B), k25_msafree5(A, C, F), k26_msafree5(A, B, C, D, F)) & m1_subset_1(k1_funct_1(E, F), k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d39_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m2_finseq_1(C, u1_struct_0(A)))  =>  (! [D] :  ( (v17_msafree5(D, A, B, C) & m2_finseq_1(D, k3_card_3(B)))  =>  (! [E] :  ( (v17_msafree5(E, A, B, C) & m2_finseq_1(E, k3_card_3(B)))  =>  (v20_msafree5(E, A, B, C, D) <=> r1_subset_1(k10_xtuple_0(D), k10_xtuple_0(E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d40_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m2_finseq_1(C, u1_struct_0(A)))  =>  (! [D] :  ( (v17_msafree5(D, A, B, C) & m2_finseq_1(D, k3_card_3(B)))  =>  (! [E] :  ( (v17_msafree5(E, A, B, C) & m2_finseq_1(E, k3_card_3(B)))  =>  (! [F] :  ( (v18_msafree5(F, A, B, C) & m2_finseq_1(F, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))))  =>  (! [G] :  ( (v19_msafree5(G, A, B, C, E) & m2_finseq_1(G, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))))  =>  (v21_msafree5(G, A, B, C, D, E, F) <=>  (! [H] :  (m2_subset_1(H, k4_ordinal1, k4_finseq_1(C)) =>  (! [I] :  (m2_subset_1(I, k4_ordinal1, k4_finseq_1(C)) =>  (k2_xcmplx_0(H, 1)=I => k18_msafree5(A, B, k25_msafree5(A, C, I), k26_msafree5(A, B, C, E, I), k28_msafree5(A, B, C, E, G, I), k6_msafree5(A, B, k25_msafree5(A, C, I), k26_msafree5(A, B, C, D, I)))=k18_msafree5(A, B, k25_msafree5(A, C, H), k26_msafree5(A, B, C, E, H), k28_msafree5(A, B, C, E, G, H), k27_msafree5(A, B, C, F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d41_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m2_finseq_1(C, u1_struct_0(A)))  =>  (! [D] :  ( (v18_msafree5(D, A, B, C) & m2_finseq_1(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))))  =>  (! [E] :  ( (v17_msafree5(E, A, B, C) & m2_finseq_1(E, k3_card_3(B)))  =>  (v22_msafree5(E, A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (r2_tarski(F, k10_xtuple_0(D)) => r1_xboole_0(k15_msafree5(A, B, k1_msafree3(A, B), F), k10_xtuple_0(E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t128_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m2_finseq_1(C, u1_struct_0(A)))  =>  (! [D] :  ( (v18_msafree5(D, A, B, C) & m2_finseq_1(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))))  =>  (! [E] :  ( (v17_msafree5(E, A, B, C) & m2_finseq_1(E, k3_card_3(B)))  =>  (v22_msafree5(E, A, B, C, D) =>  (! [F] :  (m2_subset_1(F, k4_ordinal1, k4_finseq_1(C)) =>  (! [G] :  (m2_subset_1(G, k4_ordinal1, k4_finseq_1(C)) => v9_msafree5(k27_msafree5(A, B, C, D, F), A, B, k1_msafree3(A, B), k25_msafree5(A, C, G), k26_msafree5(A, B, C, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t129_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (! [D] :  (m2_msafree5(D, A, B, C) => m2_finseq_1(k12_mcart_1(D), u1_struct_0(A))) ) ) ) ) ) ) ) ).
fof(t130_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (! [D] :  (m2_msafree5(D, A, B, C) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(A)) =>  (E=k12_mcart_1(D) =>  (v17_msafree5(k11_mcart_1(D), A, B, E) & m2_finseq_1(k11_mcart_1(D), k3_card_3(B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t131_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))) =>  (! [F] :  (m1_subset_1(F, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))) =>  (! [G] :  (m1_trees_1(G, k9_xtuple_0(E)) =>  ( (k1_funct_1(E, G)=k1_domain_1(k1_msafree4(u1_struct_0(A), C, B), u1_struct_0(A), D, B) & k3_msafree5(A, k1_msafree3(A, C), F)=B)  => m1_msafree4(k7_trees_2(E, G, F), u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, C)), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, C)), k3_msafree5(A, k1_msafree3(A, C), E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t132_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))) =>  (! [F] :  ( (v8_msafree5(F, A, C, k1_msafree3(A, C), B, D) & m1_subset_1(F, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))))  =>  (v5_msafree5(C) =>  (! [G] :  (m1_trees_1(G, k9_xtuple_0(F)) =>  ( (k1_funct_1(F, G)=k1_domain_1(k1_msafree4(u1_struct_0(A), C, B), u1_struct_0(A), D, B) & k3_msafree5(A, k1_msafree3(A, C), E)=B)  => k18_msafree5(A, C, B, D, F, E)=k7_trees_2(F, G, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t133_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  ( (r2_tarski(D, k9_xtuple_0(C)) & r2_tarski(E, k9_xtuple_0(C)))  =>  (D=E |  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_msafree4(H, u1_struct_0(A), B, k1_msafree4(u1_struct_0(A), B, F)) =>  (! [I] :  (m1_msafree4(I, u1_struct_0(A), B, k1_msafree4(u1_struct_0(A), B, G)) =>  ~ ( (k1_funct_1(C, D)=k1_domain_1(k1_msafree4(u1_struct_0(A), B, F), u1_struct_0(A), H, F) & r1_tarski(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t134_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))) =>  (! [F] :  (m1_subset_1(F, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))) =>  (! [G] :  (m1_trees_1(G, k9_xtuple_0(E)) =>  ( (F=k7_trees_2(E, G, k6_msafree5(A, C, B, D)) & v9_msafree5(E, A, C, k1_msafree3(A, C), B, D))  =>  (v8_msafree5(F, A, C, k1_msafree3(A, C), B, D) & m1_subset_1(F, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t135_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))) =>  (! [F] :  (m1_subset_1(F, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))) =>  (! [G] :  (m1_trees_1(G, k9_xtuple_0(E)) =>  (k1_funct_1(E, G)=k1_domain_1(k1_msafree4(u1_struct_0(A), C, B), u1_struct_0(A), D, B) => r1_tarski(k9_xtuple_0(E), k9_xtuple_0(k7_trees_2(E, G, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t136_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [F] :  (m1_subset_1(F, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))) =>  (! [G] :  (m1_trees_1(G, k9_xtuple_0(F)) =>  (k1_funct_1(F, G)=k1_domain_1(k1_msafree4(u1_struct_0(A), C, B), u1_struct_0(A), D, B) => k9_xtuple_0(F)=k9_xtuple_0(k7_trees_2(F, G, k6_msafree5(A, C, B, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t137_msafree5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_trees_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_trees_1(B))  =>  (! [C] :  (m1_trees_1(C, A) => k4_trees_1(k5_trees_1(A, C, B), C)=B) ) ) ) ) ) ).
fof(t138_msafree5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_trees_2(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_trees_2(B)) )  =>  (! [C] :  (m1_trees_1(C, k9_xtuple_0(A)) => k5_trees_2(k7_trees_2(A, C, B), C)=B) ) ) ) ) ) ).
fof(t139_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_msualg_6(C, A, k1_msafree3(A, B)) =>  (! [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (! [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (! [F] :  (m1_trees_1(F, k9_xtuple_0(D)) =>  (E=k5_trees_2(D, F) => k5_trees_2(k4_msafree5(A, k1_msafree3(A, B), k1_msafree3(A, B), C, D), F)=k4_msafree5(A, k1_msafree3(A, B), k1_msafree3(A, B), C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t140_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))) =>  (! [F] :  (m1_trees_1(F, k9_xtuple_0(E)) =>  (k1_funct_1(E, F)=k1_domain_1(k1_msafree4(u1_struct_0(A), C, B), u1_struct_0(A), D, B) => k5_trees_2(E, F)=k6_msafree5(A, C, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t141_msafree5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_trees_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_trees_1(B))  =>  (! [C] :  (m1_trees_1(C, A) =>  (! [D] :  (m1_trees_1(D, A) =>  ~ ( ( ~ (r1_relset_1(k4_ordinal1, k4_ordinal1, C, D))  &  ( ~ (r1_relset_1(k4_ordinal1, k4_ordinal1, D, C))  &  ~ (k4_trees_1(k5_trees_1(A, C, B), D)=k4_trees_1(A, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t142_msafree5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_trees_2(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_trees_2(B)) )  =>  (! [C] :  (m1_trees_1(C, k9_xtuple_0(A)) =>  (! [D] :  (m1_trees_1(D, k9_xtuple_0(A)) =>  ~ ( ( ~ (r1_relset_1(k4_ordinal1, k4_ordinal1, C, D))  &  ( ~ (r1_relset_1(k4_ordinal1, k4_ordinal1, D, C))  &  ~ (k5_trees_2(k7_trees_2(A, C, B), D)=k5_trees_2(A, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t143_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (! [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (r1_tarski(C, D) => C=D) ) ) ) ) ) ) ) ) ).
fof(t147_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v6_msafree5(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (! [D] :  (m1_msualg_6(D, A, k1_msafree3(A, B)) =>  (! [E] :  (m2_msafree5(E, A, B, C) =>  ~ ( ( ~ (E=k1_xboole_0)  &  (! [F] :  ( ( ~ (v1_xboole_0(F))  & m2_finseq_1(F, u1_struct_0(A)))  =>  (! [G] :  ( (v17_msafree5(G, A, B, F) & m2_finseq_1(G, k3_card_3(B)))  =>  ~ ( (k4_finseq_1(F)=k4_finseq_1(E) &  (F=k12_mcart_1(E) &  (G=k11_mcart_1(E) &  (? [H] :  ( (v18_msafree5(H, A, B, F) & m2_finseq_1(H, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))))  &  (? [I] :  ( (v17_msafree5(I, A, B, F) &  (v20_msafree5(I, A, B, F, G) &  (v22_msafree5(I, A, B, F, H) & m2_finseq_1(I, k3_card_3(B))) ) )  &  ( (! [J] :  (m2_subset_1(J, k4_ordinal1, k4_finseq_1(F)) => k27_msafree5(A, B, F, H, J)=k4_msafree5(A, k1_msafree3(A, B), k1_msafree3(A, B), D, k6_msafree5(A, B, k25_msafree5(A, F, J), k26_msafree5(A, B, F, G, J)))) )  &  (? [J] :  ( (v19_msafree5(J, A, B, F, I) & m2_finseq_1(J, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))))  &  (v21_msafree5(J, A, B, F, G, I, H) &  (k18_msafree5(A, B, k25_msafree5(A, F, k10_subset_1(1, k4_finseq_1(F))), k26_msafree5(A, B, F, I, k10_subset_1(1, k4_finseq_1(F))), k28_msafree5(A, B, F, I, J, k10_subset_1(1, k4_finseq_1(F))), k6_msafree5(A, B, k25_msafree5(A, F, k10_subset_1(1, k4_finseq_1(F))), k26_msafree5(A, B, F, G, k10_subset_1(1, k4_finseq_1(F)))))=C & k4_msafree5(A, k1_msafree3(A, B), k1_msafree3(A, B), D, C)=k18_msafree5(A, B, k25_msafree5(A, F, k10_subset_1(k3_finseq_1(F), k4_finseq_1(F))), k26_msafree5(A, B, F, I, k10_subset_1(k3_finseq_1(F), k4_finseq_1(F))), k28_msafree5(A, B, F, I, J, k10_subset_1(k3_finseq_1(F), k4_finseq_1(F))), k27_msafree5(A, B, F, H, k10_subset_1(k3_finseq_1(F), k4_finseq_1(F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s2_msafree5, axiom,  ( ( (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s2_msafree5)) =>  (! [B] :  (m1_msafree4(B, u1_struct_0(f1_s2_msafree5), f2_s2_msafree5, k1_msafree4(u1_struct_0(f1_s2_msafree5), f2_s2_msafree5, A)) => p1_s2_msafree5(k6_msafree5(f1_s2_msafree5, f2_s2_msafree5, A, B))) ) ) )  &  (! [A] :  (m1_subset_1(A, u4_struct_0(f1_s2_msafree5)) =>  (! [B] :  (m1_msafree4(B, k3_finseq_2(u1_struct_0(f1_s2_msafree5)), k6_finseq_2(u1_struct_0(f1_s2_msafree5), u3_msualg_1(f1_s2_msafree5, k1_msafree3(f1_s2_msafree5, f2_s2_msafree5))), k3_msualg_1(f1_s2_msafree5, A, k1_msafree3(f1_s2_msafree5, f2_s2_msafree5))) =>  ( (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(f1_s2_msafree5, k1_msafree3(f1_s2_msafree5, f2_s2_msafree5)))) =>  (r2_tarski(C, k10_xtuple_0(B)) => p1_s2_msafree5(C)) ) )  => p1_s2_msafree5(k7_msafree5(f1_s2_msafree5, f2_s2_msafree5, A, B))) ) ) ) ) )  => p1_s2_msafree5(f3_s2_msafree5)) ).
fof(s3_msafree5, axiom,  ( ( (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s3_msafree5)) =>  (! [B] :  (m1_msafree4(B, u1_struct_0(f1_s3_msafree5), f2_s3_msafree5, k1_msafree4(u1_struct_0(f1_s3_msafree5), f2_s3_msafree5, A)) =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(f1_s3_msafree5, f3_s3_msafree5))) =>  (C=k6_msafree5(f1_s3_msafree5, f2_s3_msafree5, A, B) => p1_s3_msafree5(C)) ) ) ) ) ) )  &  (! [A] :  (m1_subset_1(A, u4_struct_0(f1_s3_msafree5)) =>  (! [B] :  (m1_msafree4(B, k3_finseq_2(u1_struct_0(f1_s3_msafree5)), k6_finseq_2(u1_struct_0(f1_s3_msafree5), u3_msualg_1(f1_s3_msafree5, k1_msafree3(f1_s3_msafree5, f2_s3_msafree5))), k3_msualg_1(f1_s3_msafree5, A, k1_msafree3(f1_s3_msafree5, f2_s3_msafree5))) =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(f1_s3_msafree5, f3_s3_msafree5))) =>  ( (C=k7_msafree5(f1_s3_msafree5, f2_s3_msafree5, A, B) &  (! [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(f1_s3_msafree5, f3_s3_msafree5))) =>  (r2_tarski(D, k10_xtuple_0(B)) => p1_s3_msafree5(D)) ) ) )  => p1_s3_msafree5(C)) ) ) ) ) ) ) )  => p1_s3_msafree5(f4_s3_msafree5)) ).
fof(s4_msafree5, axiom,  ( (p1_s4_msafree5(k6_msafree5(f1_s4_msafree5, f3_s4_msafree5, f2_s4_msafree5, f4_s4_msafree5)) &  (! [A] :  (m1_subset_1(A, u4_struct_0(f1_s4_msafree5)) =>  (! [B] :  (m1_msafree4(B, k3_finseq_2(u1_struct_0(f1_s4_msafree5)), k6_finseq_2(u1_struct_0(f1_s4_msafree5), u3_msualg_1(f1_s4_msafree5, k1_msafree3(f1_s4_msafree5, f3_s4_msafree5))), k3_msualg_1(f1_s4_msafree5, A, k1_msafree3(f1_s4_msafree5, f3_s4_msafree5))) =>  ( (v11_msafree5(B, f1_s4_msafree5, A, f2_s4_msafree5, f3_s4_msafree5, f4_s4_msafree5) & p1_s4_msafree5(k17_msafree5(f1_s4_msafree5, A, f2_s4_msafree5, f3_s4_msafree5, f4_s4_msafree5, B)))  =>  (! [C] :  ( (v8_msafree5(C, f1_s4_msafree5, f3_s4_msafree5, k1_msafree3(f1_s4_msafree5, f3_s4_msafree5), f2_s4_msafree5, f4_s4_msafree5) & m1_subset_1(C, k3_card_3(u3_msualg_1(f1_s4_msafree5, k1_msafree3(f1_s4_msafree5, f3_s4_msafree5)))))  =>  (C=k7_msafree5(f1_s4_msafree5, f3_s4_msafree5, A, B) => p1_s4_msafree5(C)) ) ) ) ) ) ) ) )  => p1_s4_msafree5(f5_s4_msafree5)) ).
fof(s5_msafree5, axiom,  ( (! [A] :  (m1_subset_1(A, k3_card_3(u3_msualg_1(f1_s5_msafree5, f3_s5_msafree5))) => k3_msafree5(f1_s5_msafree5, f3_s5_msafree5, A)=k3_msafree5(f1_s5_msafree5, f4_s5_msafree5, f5_s5_msafree5(A))) )  =>  (? [A] :  (m2_pboole(A, u1_struct_0(f1_s5_msafree5), u3_msualg_1(f1_s5_msafree5, f3_s5_msafree5), u3_msualg_1(f1_s5_msafree5, f4_s5_msafree5)) &  (! [B] :  (m1_subset_1(B, k3_card_3(u3_msualg_1(f1_s5_msafree5, f3_s5_msafree5))) => k4_msafree5(f1_s5_msafree5, f3_s5_msafree5, f4_s5_msafree5, A, B)=f5_s5_msafree5(B)) ) ) ) ) ).
fof(s6_msafree5, axiom,  (? [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  &  (k4_finseq_1(A)=k4_finseq_1(f1_s6_msafree5) &  (! [B] :  (m2_subset_1(B, k4_ordinal1, k4_finseq_1(f1_s6_msafree5)) => k1_funct_1(A, B)=f2_s6_msafree5(B)) ) ) ) ) ).
fof(s7_msafree5, axiom,  (? [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  &  (k4_finseq_1(A)=k4_finseq_1(f1_s7_msafree5) &  (k1_funct_1(A, 1)=f2_s7_msafree5 &  (! [B] :  (m2_subset_1(B, k4_ordinal1, k4_finseq_1(f1_s7_msafree5)) =>  (! [C] :  (m2_subset_1(C, k4_ordinal1, k4_finseq_1(f1_s7_msafree5)) =>  (C=k2_xcmplx_0(B, 1) => k1_funct_1(A, C)=f3_s7_msafree5(B, k1_funct_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(s8_msafree5, axiom,  (? [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v6_trees_3(A)) ) ) )  &  (k4_finseq_1(A)=k4_finseq_1(f1_s8_msafree5) &  (k1_funct_1(A, 1)=f2_s8_msafree5 &  (! [B] :  (m2_subset_1(B, k4_ordinal1, k4_finseq_1(f1_s8_msafree5)) =>  (! [C] :  (m2_subset_1(C, k4_ordinal1, k4_finseq_1(f1_s8_msafree5)) =>  (C=k2_xcmplx_0(B, 1) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v3_trees_2(D)) )  =>  (D=k1_funct_1(A, B) => k1_funct_1(A, C)=f3_s8_msafree5(B, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) & l3_msualg_1(C, A)) )  & m1_subset_1(D, k3_card_3(u3_msualg_1(A, C)))) ) )  => m1_subset_1(k1_msafree5(A, B, C, D), k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))))) ) ).
fof(dt_f2_s1_msafree5, axiom, m2_finseq_1(f2_s1_msafree5, k4_ordinal1)).
fof(dt_k3_msafree5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( ( ~ (v1_catalg_1(B, A))  & l3_msualg_1(B, A))  & m1_subset_1(C, k3_card_3(u3_msualg_1(A, B)))) )  => m1_subset_1(k3_msafree5(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k4_msafree5, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  &  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) & m1_subset_1(E, k3_card_3(u3_msualg_1(A, B)))) ) ) )  => m1_subset_1(k4_msafree5(A, B, C, D, E), k3_card_3(u3_msualg_1(A, C)))) ) ).
fof(dt_m1_msafree5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (l3_msualg_1(B, A) & l3_msualg_1(C, A)) )  =>  (! [D] :  (m1_msafree5(D, A, B, C) => m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C))) ) ) ) ).
fof(existence_m1_msafree5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (l3_msualg_1(B, A) & l3_msualg_1(C, A)) )  =>  (? [D] : m1_msafree5(D, A, B, C)) ) ) ).
fof(dt_k5_msafree5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) ) ) )  => m1_msafree5(k5_msafree5(A, B, C), A, k1_msafree3(A, B), C)) ) ).
fof(redefinition_k5_msafree5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) ) ) )  => k5_msafree5(A, B, C)=k4_msafree4(A, B, C)) ) ).
fof(dt_k6_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, k1_msafree4(u1_struct_0(A), B, C))) ) )  => m1_msafree4(k6_msafree5(A, B, C, D), u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), C))) ) ).
fof(dt_k7_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (m1_subset_1(C, u4_struct_0(A)) & m1_subset_1(D, k3_msualg_1(A, C, k1_msafree3(A, B)))) ) )  => m1_msafree4(k7_msafree5(A, B, C, D), u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), k2_msualg_1(A, C)))) ) ).
fof(dt_k8_msafree5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (v5_abcmiz_1(C, A, B) & m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))))) ) )  => m1_subset_1(k8_msafree5(A, B, C), u4_struct_0(A))) ) ).
fof(redefinition_k8_msafree5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (v5_abcmiz_1(C, A, B) & m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))))) ) )  => k8_msafree5(A, B, C)=k10_abcmiz_a(A, B, C)) ) ).
fof(dt_k9_msafree5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (v5_abcmiz_1(C, A, B) & m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))))) ) )  => m1_msafree4(k9_msafree5(A, B, C), k3_finseq_2(u1_struct_0(A)), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B))), k3_msualg_1(A, k8_msafree5(A, B, C), k1_msafree3(A, B)))) ) ).
fof(redefinition_k9_msafree5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (v5_abcmiz_1(C, A, B) & m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))))) ) )  => k9_msafree5(A, B, C)=k11_abcmiz_a(A, B, C)) ) ).
fof(dt_f1_s2_msafree5, axiom,  ( ~ (v2_struct_0(f1_s2_msafree5))  &  ( ~ (v11_struct_0(f1_s2_msafree5))  & l1_msualg_1(f1_s2_msafree5)) ) ).
fof(dt_f2_s2_msafree5, axiom,  (v1_relat_1(f2_s2_msafree5) &  (v2_relat_1(f2_s2_msafree5) &  (v4_relat_1(f2_s2_msafree5, u1_struct_0(f1_s2_msafree5)) &  (v1_funct_1(f2_s2_msafree5) & v1_partfun1(f2_s2_msafree5, u1_struct_0(f1_s2_msafree5))) ) ) ) ).
fof(dt_f3_s2_msafree5, axiom, m1_subset_1(f3_s2_msafree5, k3_card_3(u3_msualg_1(f1_s2_msafree5, k1_msafree3(f1_s2_msafree5, f2_s2_msafree5))))).
fof(dt_f1_s3_msafree5, axiom,  ( ~ (v2_struct_0(f1_s3_msafree5))  &  ( ~ (v11_struct_0(f1_s3_msafree5))  & l1_msualg_1(f1_s3_msafree5)) ) ).
fof(dt_f2_s3_msafree5, axiom,  (v1_relat_1(f2_s3_msafree5) &  (v2_relat_1(f2_s3_msafree5) &  (v4_relat_1(f2_s3_msafree5, u1_struct_0(f1_s3_msafree5)) &  (v1_funct_1(f2_s3_msafree5) & v1_partfun1(f2_s3_msafree5, u1_struct_0(f1_s3_msafree5))) ) ) ) ).
fof(dt_f3_s3_msafree5, axiom,  (v5_msafree4(f3_s3_msafree5, f1_s3_msafree5, f2_s3_msafree5) &  (v6_msafree4(f3_s3_msafree5, f1_s3_msafree5, f2_s3_msafree5) &  (v7_msafree4(f3_s3_msafree5, f1_s3_msafree5, f2_s3_msafree5) &  (v8_msafree4(f3_s3_msafree5, f1_s3_msafree5, f2_s3_msafree5) & l3_msualg_1(f3_s3_msafree5, f1_s3_msafree5)) ) ) ) ).
fof(dt_f4_s3_msafree5, axiom, m1_subset_1(f4_s3_msafree5, k3_card_3(u3_msualg_1(f1_s3_msafree5, f3_s3_msafree5)))).
fof(dt_k10_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  & m1_subset_1(D, k3_card_3(u3_msualg_1(A, C)))) ) )  => v7_ordinal1(k10_msafree5(A, B, C, D))) ) ).
fof(dt_k11_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  & m1_subset_1(D, k3_card_3(u3_msualg_1(A, C)))) ) )  => v7_ordinal1(k11_msafree5(A, B, C, D))) ) ).
fof(redefinition_k12_msafree5, axiom,  (! [A, B, C, D] : k12_msafree5(A, B, C, D)=k2_matrix_7(A, B, C, D)) ).
fof(dt_k13_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  & v7_ordinal1(D)) ) )  => m1_subset_1(k13_msafree5(A, B, C, D), k1_zfmisc_1(k3_card_3(u3_msualg_1(A, C))))) ) ).
fof(dt_k14_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  & v7_ordinal1(D)) ) )  => m1_subset_1(k14_msafree5(A, B, C, D), k1_zfmisc_1(k3_card_3(u3_msualg_1(A, C))))) ) ).
fof(dt_k16_msafree5, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (m1_subset_1(B, u4_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) &  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) & v1_partfun1(D, u1_struct_0(A))) ) ) )  &  (m1_subset_1(E, k1_msafree4(u1_struct_0(A), D, C)) & m1_subset_1(F, k3_msualg_1(A, B, k1_msafree3(A, D)))) ) ) ) )  => v7_ordinal1(k16_msafree5(A, B, C, D, E, F))) ) ).
fof(dt_k17_msafree5, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (m1_subset_1(B, u4_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) &  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) & v1_partfun1(D, u1_struct_0(A))) ) ) )  &  (m1_subset_1(E, k1_msafree4(u1_struct_0(A), D, C)) & m1_subset_1(F, k3_msualg_1(A, B, k1_msafree3(A, D)))) ) ) ) )  =>  (v8_msafree5(k17_msafree5(A, B, C, D, E, F), A, D, k1_msafree3(A, D), C, E) & m1_subset_1(k17_msafree5(A, B, C, D, E, F), k3_card_3(u3_msualg_1(A, k1_msafree3(A, D))))) ) ) ).
fof(dt_f1_s4_msafree5, axiom,  ( ~ (v2_struct_0(f1_s4_msafree5))  &  ( ~ (v11_struct_0(f1_s4_msafree5))  & l1_msualg_1(f1_s4_msafree5)) ) ).
fof(dt_f2_s4_msafree5, axiom, m1_subset_1(f2_s4_msafree5, u1_struct_0(f1_s4_msafree5))).
fof(dt_f3_s4_msafree5, axiom,  (v1_relat_1(f3_s4_msafree5) &  (v2_relat_1(f3_s4_msafree5) &  (v4_relat_1(f3_s4_msafree5, u1_struct_0(f1_s4_msafree5)) &  (v1_funct_1(f3_s4_msafree5) & v1_partfun1(f3_s4_msafree5, u1_struct_0(f1_s4_msafree5))) ) ) ) ).
fof(dt_f4_s4_msafree5, axiom, m1_msafree4(f4_s4_msafree5, u1_struct_0(f1_s4_msafree5), f3_s4_msafree5, k1_msafree4(u1_struct_0(f1_s4_msafree5), f3_s4_msafree5, f2_s4_msafree5))).
fof(dt_f5_s4_msafree5, axiom,  (v8_msafree5(f5_s4_msafree5, f1_s4_msafree5, f3_s4_msafree5, k1_msafree3(f1_s4_msafree5, f3_s4_msafree5), f2_s4_msafree5, f4_s4_msafree5) & m1_subset_1(f5_s4_msafree5, k3_card_3(u3_msualg_1(f1_s4_msafree5, k1_msafree3(f1_s4_msafree5, f3_s4_msafree5))))) ).
fof(dt_k18_msafree5, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (m1_subset_1(C, u1_struct_0(A)) &  (m1_subset_1(D, k1_msafree4(u1_struct_0(A), B, C)) &  ( (v8_msafree5(E, A, B, k1_msafree3(A, B), C, D) & m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))))  & m1_subset_1(F, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))))) ) ) ) )  => m1_msafree4(k18_msafree5(A, B, C, D, E, F), u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), k3_msafree5(A, k1_msafree3(A, B), E)))) ) ).
fof(dt_k19_msafree5, axiom,  (! [A, B] :  (v1_relat_1(k19_msafree5(A, B)) & v1_funct_1(k19_msafree5(A, B))) ) ).
fof(commutativity_k19_msafree5, axiom,  (! [A, B] : k19_msafree5(A, B)=k19_msafree5(B, A)) ).
fof(dt_k20_msafree5, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v5_relat_1(D, B) & v1_funct_1(D)) ) ) ) )  =>  (v1_funct_1(k20_msafree5(A, B, C, D)) &  (v1_funct_2(k20_msafree5(A, B, C, D), A, B) & m1_subset_1(k20_msafree5(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ).
fof(idempotence_k20_msafree5, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v5_relat_1(D, B) & v1_funct_1(D)) ) ) ) )  => k20_msafree5(A, B, C, C)=C) ) ).
fof(redefinition_k20_msafree5, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v5_relat_1(D, B) & v1_funct_1(D)) ) ) ) )  => k20_msafree5(A, B, C, D)=k1_funct_4(C, D)) ) ).
fof(dt_k21_msafree5, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  &  (m2_pboole(D, A, B, C) &  (m1_subset_1(E, A) &  (v1_funct_1(F) &  (v1_funct_2(F, k1_msafree4(A, B, E), k1_msafree4(A, C, E)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_msafree4(A, B, E), k1_msafree4(A, C, E))))) ) ) ) ) ) )  => m2_pboole(k21_msafree5(A, B, C, D, E, F), A, B, C)) ) ).
fof(redefinition_k21_msafree5, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  &  (m2_pboole(D, A, B, C) &  (m1_subset_1(E, A) &  (v1_funct_1(F) &  (v1_funct_2(F, k1_msafree4(A, B, E), k1_msafree4(A, C, E)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_msafree4(A, B, E), k1_msafree4(A, C, E))))) ) ) ) ) ) )  => k21_msafree5(A, B, C, D, E, F)=k1_funct_7(D, E, F)) ) ).
fof(dt_k22_msafree5, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  &  (m1_subset_1(D, u1_struct_0(A)) &  (m1_subset_1(E, k1_msafree4(u1_struct_0(A), B, D)) & m1_subset_1(F, k1_msafree4(u1_struct_0(A), B, D))) ) ) ) )  => m1_msualg_6(k22_msafree5(A, B, C, D, E, F), A, C)) ) ).
fof(dt_k23_msafree5, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (m1_subset_1(C, u1_struct_0(A)) &  ( (v15_msafree5(D, A, C) & m1_subset_1(D, u1_struct_0(A)))  &  (m2_msualg_6(E, A, k1_msafree3(A, B), C, D) & m1_subset_1(F, k1_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), C))) ) ) ) )  => m1_msafree4(k23_msafree5(A, B, C, D, E, F), u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), D))) ) ).
fof(redefinition_k23_msafree5, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (m1_subset_1(C, u1_struct_0(A)) &  ( (v15_msafree5(D, A, C) & m1_subset_1(D, u1_struct_0(A)))  &  (m2_msualg_6(E, A, k1_msafree3(A, B), C, D) & m1_subset_1(F, k1_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), C))) ) ) ) )  => k23_msafree5(A, B, C, D, E, F)=k1_funct_1(E, F)) ) ).
fof(dt_k24_msafree5, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (m1_subset_1(C, u1_struct_0(A)) &  (m1_subset_1(D, k1_msafree4(u1_struct_0(A), B, C)) &  (v8_msafree5(E, A, B, k1_msafree3(A, B), C, D) & m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))))) ) ) ) )  =>  (v1_funct_1(k24_msafree5(A, B, C, D, E)) &  (v1_funct_2(k24_msafree5(A, B, C, D, E), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), C), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), k3_msafree5(A, k1_msafree3(A, B), E))) & m1_subset_1(k24_msafree5(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k1_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), C), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), k3_msafree5(A, k1_msafree3(A, B), E)))))) ) ) ) ).
fof(dt_f1_s5_msafree5, axiom,  ( ~ (v2_struct_0(f1_s5_msafree5))  &  ( ~ (v11_struct_0(f1_s5_msafree5))  & l1_msualg_1(f1_s5_msafree5)) ) ).
fof(dt_f2_s5_msafree5, axiom,  (v1_relat_1(f2_s5_msafree5) &  (v2_relat_1(f2_s5_msafree5) &  (v4_relat_1(f2_s5_msafree5, u1_struct_0(f1_s5_msafree5)) &  (v1_funct_1(f2_s5_msafree5) & v1_partfun1(f2_s5_msafree5, u1_struct_0(f1_s5_msafree5))) ) ) ) ).
fof(dt_f3_s5_msafree5, axiom,  (v5_msafree4(f3_s5_msafree5, f1_s5_msafree5, f2_s5_msafree5) &  (v6_msafree4(f3_s5_msafree5, f1_s5_msafree5, f2_s5_msafree5) &  (v7_msafree4(f3_s5_msafree5, f1_s5_msafree5, f2_s5_msafree5) & l3_msualg_1(f3_s5_msafree5, f1_s5_msafree5)) ) ) ).
fof(dt_f4_s5_msafree5, axiom,  (v5_msafree4(f4_s5_msafree5, f1_s5_msafree5, f2_s5_msafree5) &  (v6_msafree4(f4_s5_msafree5, f1_s5_msafree5, f2_s5_msafree5) &  (v7_msafree4(f4_s5_msafree5, f1_s5_msafree5, f2_s5_msafree5) & l3_msualg_1(f4_s5_msafree5, f1_s5_msafree5)) ) ) ).
fof(dt_f5_s5_msafree5, axiom,  (! [A] : m1_subset_1(f5_s5_msafree5(A), k3_card_3(u3_msualg_1(f1_s5_msafree5, f4_s5_msafree5)))) ).
fof(dt_k25_msafree5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( ( ~ (v1_xboole_0(B))  & m1_finseq_1(B, u1_struct_0(A)))  & m1_subset_1(C, k4_finseq_1(B))) )  => m1_subset_1(k25_msafree5(A, B, C), u1_struct_0(A))) ) ).
fof(redefinition_k25_msafree5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( ( ~ (v1_xboole_0(B))  & m1_finseq_1(B, u1_struct_0(A)))  & m1_subset_1(C, k4_finseq_1(B))) )  => k25_msafree5(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k26_msafree5, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_finseq_1(C, u1_struct_0(A)))  &  ( (v17_msafree5(D, A, B, C) & m1_finseq_1(D, k3_card_3(B)))  & m1_subset_1(E, k4_finseq_1(C))) ) ) )  => m1_msafree4(k26_msafree5(A, B, C, D, E), u1_struct_0(A), B, k1_msafree4(u1_struct_0(A), B, k25_msafree5(A, C, E)))) ) ).
fof(redefinition_k26_msafree5, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_finseq_1(C, u1_struct_0(A)))  &  ( (v17_msafree5(D, A, B, C) & m1_finseq_1(D, k3_card_3(B)))  & m1_subset_1(E, k4_finseq_1(C))) ) ) )  => k26_msafree5(A, B, C, D, E)=k1_funct_1(D, E)) ) ).
fof(dt_k27_msafree5, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_finseq_1(C, u1_struct_0(A)))  &  ( (v18_msafree5(D, A, B, C) & m1_finseq_1(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))))  & m1_subset_1(E, k4_finseq_1(C))) ) ) )  => m1_msafree4(k27_msafree5(A, B, C, D, E), u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), k25_msafree5(A, C, E)))) ) ).
fof(redefinition_k27_msafree5, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_finseq_1(C, u1_struct_0(A)))  &  ( (v18_msafree5(D, A, B, C) & m1_finseq_1(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))))  & m1_subset_1(E, k4_finseq_1(C))) ) ) )  => k27_msafree5(A, B, C, D, E)=k1_funct_1(D, E)) ) ).
fof(dt_f1_s6_msafree5, axiom,  ( ~ (v1_xboole_0(f1_s6_msafree5))  &  (v1_relat_1(f1_s6_msafree5) &  (v1_funct_1(f1_s6_msafree5) & v1_finseq_1(f1_s6_msafree5)) ) ) ).
fof(dt_f1_s7_msafree5, axiom,  ( ~ (v1_xboole_0(f1_s7_msafree5))  &  (v1_relat_1(f1_s7_msafree5) &  (v1_funct_1(f1_s7_msafree5) & v1_finseq_1(f1_s7_msafree5)) ) ) ).
fof(dt_f1_s8_msafree5, axiom,  ( ~ (v1_xboole_0(f1_s8_msafree5))  &  (v1_relat_1(f1_s8_msafree5) &  (v1_funct_1(f1_s8_msafree5) & v1_finseq_1(f1_s8_msafree5)) ) ) ).
fof(dt_f2_s8_msafree5, axiom,  (v1_relat_1(f2_s8_msafree5) &  (v1_funct_1(f2_s8_msafree5) & v3_trees_2(f2_s8_msafree5)) ) ).
fof(dt_f3_s8_msafree5, axiom,  (! [A, B] :  (v1_relat_1(f3_s8_msafree5(A, B)) &  (v1_funct_1(f3_s8_msafree5(A, B)) & v3_trees_2(f3_s8_msafree5(A, B))) ) ) ).
fof(dt_k28_msafree5, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_finseq_1(C, u1_struct_0(A)))  &  ( (v17_msafree5(D, A, B, C) & m1_finseq_1(D, k3_card_3(B)))  &  ( (v19_msafree5(E, A, B, C, D) & m1_finseq_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))))  & m1_subset_1(F, k4_finseq_1(C))) ) ) ) )  =>  (v8_msafree5(k28_msafree5(A, B, C, D, E, F), A, B, k1_msafree3(A, B), k25_msafree5(A, C, F), k26_msafree5(A, B, C, D, F)) & m1_subset_1(k28_msafree5(A, B, C, D, E, F), k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))))) ) ) ).
fof(redefinition_k28_msafree5, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_finseq_1(C, u1_struct_0(A)))  &  ( (v17_msafree5(D, A, B, C) & m1_finseq_1(D, k3_card_3(B)))  &  ( (v19_msafree5(E, A, B, C, D) & m1_finseq_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))))  & m1_subset_1(F, k4_finseq_1(C))) ) ) ) )  => k28_msafree5(A, B, C, D, E, F)=k1_funct_1(E, F)) ) ).
fof(dt_m2_msafree5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))))) )  =>  (! [D] :  (m2_msafree5(D, A, B, C) =>  (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) ) ) ) ) ) ).
fof(existence_m2_msafree5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))))) )  =>  (? [D] : m2_msafree5(D, A, B, C)) ) ) ).
fof(d9_msafree5, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => k2_msafree5(A, B)=a_2_0_msafree5(A, B)) ) ) ) ).
fof(t9_msafree5, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v6_trees_3(B)) ) )  => k9_xtuple_0(k4_trees_4(A, B))=k2_xboole_0(k1_tarski(k1_xboole_0), k3_tarski(a_1_0_msafree5(B)))) ) ) ).
fof(t15_msafree5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v4_trees_3(A)) ) ) )  => k3_trees_1(k11_trees_3(A))=a_1_1_msafree5(A)) ) ).
fof(t46_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_msafree4(D, k3_finseq_2(u1_struct_0(A)), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B))), k3_msualg_1(A, C, k1_msafree3(A, B))) =>  (v6_membered(a_4_0_msafree5(A, B, C, D)) &  (v1_finset_1(a_4_0_msafree5(A, B, C, D)) & v7_ordinal1(k3_tarski(a_4_0_msafree5(A, B, C, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t47_msafree5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(B)) =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (! [E] :  (m1_msafree4(E, k3_finseq_2(u1_struct_0(B)), k6_finseq_2(u1_struct_0(B), u3_msualg_1(B, k1_msafree3(B, D))), k3_msualg_1(B, C, k1_msafree3(B, D))) =>  (A=k3_tarski(a_4_1_msafree5(B, C, D, E)) =>  (k1_msualg_1(B, C)=k1_xboole_0 | k11_msafree5(B, D, k1_msafree3(B, D), k7_msafree5(B, D, C, E))=k2_xcmplx_0(A, 1)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_msafree5, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  & l1_msualg_1(C)) )  =>  (! [D] :  (m1_subset_1(D, u4_struct_0(C)) =>  (! [E] :  ( (v1_relat_1(E) &  (v2_relat_1(E) &  (v4_relat_1(E, u1_struct_0(C)) &  (v1_funct_1(E) & v1_partfun1(E, u1_struct_0(C))) ) ) )  =>  (! [F] :  (m1_msafree4(F, k3_finseq_2(u1_struct_0(C)), k6_finseq_2(u1_struct_0(C), u3_msualg_1(C, k1_msafree3(C, E))), k3_msualg_1(C, D, k1_msafree3(C, E))) =>  (B=k4_tarski(D, u1_struct_0(C)) => k8_relat_1(k7_msafree5(C, E, D, F), A)=k2_xboole_0(k12_msafree5(B, A, k1_tarski(k1_xboole_0), k1_xboole_0), k3_tarski(a_5_0_msafree5(A, C, D, E, F)))) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (v7_ordinal1(D) => k13_msafree5(A, B, C, D)=a_4_2_msafree5(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(d19_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (v7_ordinal1(D) => k14_msafree5(A, B, C, D)=a_4_3_msafree5(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t54_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  => k13_msafree5(A, B, C, k5_numbers)=a_2_1_msafree5(A, B)) ) ) ) ) ) ).
fof(t55_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  => k14_msafree5(A, B, C, k5_numbers)=k2_xboole_0(a_2_1_msafree5(A, B), a_3_0_msafree5(A, B, C))) ) ) ) ) ) ).
fof(t60_msafree5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) )  =>  (! [D] :  ( (v5_msafree4(D, B, C) &  (v6_msafree4(D, B, C) &  (v7_msafree4(D, B, C) &  (v8_msafree4(D, B, C) & l3_msualg_1(D, B)) ) ) )  => k13_msafree5(B, C, D, k2_xcmplx_0(A, 1))=k2_xboole_0(k13_msafree5(B, C, D, k5_numbers), k3_xboole_0(a_3_1_msafree5(A, B, C), k3_card_3(u3_msualg_1(B, D))))) ) ) ) ) ) ) ) ).
fof(t61_msafree5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) )  =>  (! [D] :  ( (v5_msafree4(D, B, C) &  (v6_msafree4(D, B, C) &  (v7_msafree4(D, B, C) &  (v8_msafree4(D, B, C) & l3_msualg_1(D, B)) ) ) )  => k14_msafree5(B, C, D, k2_xcmplx_0(A, 1))=k2_xboole_0(k14_msafree5(B, C, D, k5_numbers), k3_xboole_0(a_3_2_msafree5(A, B, C), k3_card_3(u3_msualg_1(B, D))))) ) ) ) ) ) ) ) ).
fof(t63_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  => k3_card_3(u3_msualg_1(A, C))=k3_tarski(a_3_3_msafree5(A, B, C))) ) ) ) ) ) ).
fof(t64_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  => k3_card_3(u3_msualg_1(A, C))=k3_tarski(a_3_4_msafree5(A, B, C))) ) ) ) ) ) ).
fof(t68_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, k3_finseq_2(u1_struct_0(A)), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, C))), k3_msualg_1(A, B, k1_msafree3(A, C))) => k15_msafree5(A, C, k1_msafree3(A, C), k7_msafree5(A, C, B, D))=k3_tarski(a_4_4_msafree5(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(d42_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (m2_msafree5(D, A, B, C) <=>  (? [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) &  (v2_funct_1(E) & v1_finseq_1(E)) ) )  &  (k10_xtuple_0(E)=a_3_5_msafree5(A, B, C) &  (k4_finseq_1(D)=k4_finseq_1(E) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k4_finseq_1(D)) => k1_funct_1(D, F)=k1_funct_1(C, k1_funct_1(E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t144_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (! [D] :  (m1_msualg_6(D, A, k1_msafree3(A, B)) =>  (r1_tarski(k9_xtuple_0(C), k9_xtuple_0(k4_msafree5(A, k1_msafree3(A, B), k1_msafree3(A, B), D, C))) &  (! [E] :  (E=a_3_5_msafree5(A, B, C) => k5_relat_1(C, k6_subset_1(k9_xtuple_0(C), E))=k5_relat_1(k4_msafree5(A, k1_msafree3(A, B), k1_msafree3(A, B), D, C), k6_subset_1(k9_xtuple_0(C), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t145_msafree5, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) )  =>  (! [D] :  (m1_msualg_6(D, B, k1_msafree3(B, C)) =>  (! [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(B, k1_msafree3(B, C)))) =>  (A=a_3_5_msafree5(B, C, E) =>  (! [F] :  (m1_trees_1(F, k9_xtuple_0(k4_msafree5(B, k1_msafree3(B, C), k1_msafree3(B, C), D, E))) =>  ~ ( ( ~ (r2_tarski(F, k6_subset_1(k9_xtuple_0(E), A)))  &  (! [G] :  (m1_trees_1(G, k9_xtuple_0(E)) =>  ~ ( (r2_tarski(G, A) &  (? [H] :  (m1_trees_1(H, k9_xtuple_0(k5_trees_2(k4_msafree5(B, k1_msafree3(B, C), k1_msafree3(B, C), D, E), G))) & F=k8_finseq_1(k4_ordinal1, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t146_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v6_msafree5(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (! [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (! [E] :  (m1_msualg_6(E, A, k1_msafree3(A, B)) =>  (! [F] :  ( (v2_funct_1(F) & m2_finseq_1(F, k9_xtuple_0(C)))  =>  ( (k10_xtuple_0(F)=a_3_6_msafree5(A, B, C) &  (r1_tarski(k9_xtuple_0(C), k9_xtuple_0(D)) &  (k5_relat_1(C, k6_subset_1(k9_xtuple_0(C), k10_xtuple_0(F)))=k5_relat_1(D, k6_subset_1(k9_xtuple_0(C), k10_xtuple_0(F))) &  (! [G] :  (v7_ordinal1(G) =>  (r2_tarski(G, k4_finseq_1(F)) => k5_trees_2(k4_msafree5(A, k1_msafree3(A, B), k1_msafree3(A, B), E, C), k7_partfun1(k9_xtuple_0(C), F, G))=k5_trees_2(D, k7_partfun1(k9_xtuple_0(C), F, G))) ) ) ) ) )  => k4_msafree5(A, k1_msafree3(A, B), k1_msafree3(A, B), E, C)=D) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_msafree5, axiom,  ( ( (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(k3_finseq_1(f2_s1_msafree5), A))  &  ( ~ (r1_xxreal_0(k3_finseq_1(f2_s1_msafree5), B))  &  ( ~ (A=B)  &  ~ (r1_xboole_0(f1_s1_msafree5(A), f1_s1_msafree5(B))) ) ) ) ) ) ) ) )  &  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(k3_finseq_1(f2_s1_msafree5), A))  => k1_card_1(f1_s1_msafree5(A))=k1_funct_1(f2_s1_msafree5, k2_xcmplx_0(A, 1))) ) ) )  => k1_card_1(k3_tarski(a_0_0_msafree5))=k1_wsierp_1(f2_s1_msafree5)) ).
fof(fraenkel_a_2_0_msafree5, axiom,  (! [A, B, C] :  ( (v3_finseq_1(B) &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) ) )  =>  (r2_hidden(A, a_2_0_msafree5(B, C)) <=>  (? [D] :  (m1_subset_1(D, B) &  (A=k7_finseq_1(C, D) & r2_tarski(D, B)) ) ) ) ) ) ).
fof(fraenkel_a_1_0_msafree5, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v6_trees_3(B)) ) )  =>  (r2_hidden(A, a_1_0_msafree5(B)) <=>  (? [C] :  (v7_ordinal1(C) &  (A=k2_msafree5(k9_xtuple_0(k1_funct_1(B, k2_xcmplx_0(C, 1))), k14_trees_3(C)) &  ~ (r1_xxreal_0(k3_finseq_1(B), C)) ) ) ) ) ) ) ).
fof(fraenkel_a_1_1_msafree5, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v4_trees_3(B)) ) ) )  =>  (r2_hidden(A, a_1_1_msafree5(B)) <=>  (? [C, D, E] :  ( (v7_ordinal1(C) &  (m2_finseq_1(D, k4_ordinal1) &  ( ~ (v1_xboole_0(E))  & v1_trees_1(E)) ) )  &  (A=k8_finseq_1(k4_ordinal1, k14_trees_3(C), D) &  (r2_tarski(D, k3_trees_1(E)) &  (r2_tarski(k2_xcmplx_0(C, 1), k4_finseq_1(B)) & E=k1_funct_1(B, k2_xcmplx_0(C, 1))) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_msafree5, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) )  &  (m1_subset_1(D, u4_struct_0(B)) & m1_msafree4(E, k3_finseq_2(u1_struct_0(B)), k6_finseq_2(u1_struct_0(B), u3_msualg_1(B, k1_msafree3(B, C))), k3_msualg_1(B, D, k1_msafree3(B, C)))) ) )  =>  (r2_hidden(A, a_4_0_msafree5(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, k3_card_3(u3_msualg_1(B, k1_msafree3(B, C)))) &  (A=k11_msafree5(B, C, k1_msafree3(B, C), F) & r2_tarski(F, k10_xtuple_0(E))) ) ) ) ) ) ).
fof(fraenkel_a_4_1_msafree5, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  &  (m1_subset_1(C, u4_struct_0(B)) &  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) & v1_partfun1(D, u1_struct_0(B))) ) ) )  & m1_msafree4(E, k3_finseq_2(u1_struct_0(B)), k6_finseq_2(u1_struct_0(B), u3_msualg_1(B, k1_msafree3(B, D))), k3_msualg_1(B, C, k1_msafree3(B, D)))) ) )  =>  (r2_hidden(A, a_4_1_msafree5(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, k3_card_3(u3_msualg_1(B, k1_msafree3(B, D)))) &  (A=k11_msafree5(B, D, k1_msafree3(B, D), F) & r2_tarski(F, k10_xtuple_0(E))) ) ) ) ) ) ).
fof(fraenkel_a_5_0_msafree5, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  & l1_msualg_1(C)) )  &  (m1_subset_1(D, u4_struct_0(C)) &  ( (v1_relat_1(E) &  (v2_relat_1(E) &  (v4_relat_1(E, u1_struct_0(C)) &  (v1_funct_1(E) & v1_partfun1(E, u1_struct_0(C))) ) ) )  & m1_msafree4(F, k3_finseq_2(u1_struct_0(C)), k6_finseq_2(u1_struct_0(C), u3_msualg_1(C, k1_msafree3(C, E))), k3_msualg_1(C, D, k1_msafree3(C, E)))) ) )  =>  (r2_hidden(A, a_5_0_msafree5(B, C, D, E, F)) <=>  (? [G] :  (v7_ordinal1(G) &  (A=k2_msafree5(k8_relat_1(k1_funct_1(F, k2_xcmplx_0(G, 1)), B), k14_trees_3(G)) &  ~ (r1_xxreal_0(k3_finseq_1(F), G)) ) ) ) ) ) ) ).
fof(fraenkel_a_4_2_msafree5, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) )  &  ( (v5_msafree4(D, B, C) &  (v6_msafree4(D, B, C) &  (v7_msafree4(D, B, C) &  (v8_msafree4(D, B, C) & l3_msualg_1(D, B)) ) ) )  & v7_ordinal1(E)) ) )  =>  (r2_hidden(A, a_4_2_msafree5(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, k3_card_3(u3_msualg_1(B, D))) &  (A=F & r1_xxreal_0(k10_msafree5(B, C, D, F), E)) ) ) ) ) ) ).
fof(fraenkel_a_4_3_msafree5, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) )  &  ( (v5_msafree4(D, B, C) &  (v6_msafree4(D, B, C) &  (v7_msafree4(D, B, C) &  (v8_msafree4(D, B, C) & l3_msualg_1(D, B)) ) ) )  & v7_ordinal1(E)) ) )  =>  (r2_hidden(A, a_4_3_msafree5(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, k3_card_3(u3_msualg_1(B, k1_msafree3(B, C)))) &  (A=F &  (r1_msafree5(B, D, F) & r1_xxreal_0(k11_msafree5(B, C, k1_msafree3(B, C), F), E)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_msafree5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  &  (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) ) )  =>  (r2_hidden(A, a_2_1_msafree5(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, u1_struct_0(B)) & m1_msafree4(E, u1_struct_0(B), C, k1_msafree4(u1_struct_0(B), C, D)))  & A=k6_msafree5(B, C, D, E)) ) ) ) ) ).
fof(fraenkel_a_3_0_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) )  &  (v5_msafree4(D, B, C) &  (v6_msafree4(D, B, C) &  (v7_msafree4(D, B, C) &  (v8_msafree4(D, B, C) & l3_msualg_1(D, B)) ) ) ) ) )  =>  (r2_hidden(A, a_3_0_msafree5(B, C, D)) <=>  (? [E, F] :  ( (m1_subset_1(E, u4_struct_0(B)) & m1_msafree4(F, k3_finseq_2(u1_struct_0(B)), k6_finseq_2(u1_struct_0(B), u3_msualg_1(B, k1_msafree3(B, C))), k3_msualg_1(B, E, k1_msafree3(B, C))))  &  (A=k7_msafree5(B, C, E, F) &  (r1_msafree5(B, D, k7_msafree5(B, C, E, F)) & k1_msualg_1(B, E)=k1_xboole_0) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_msafree5, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(B) &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  & l1_msualg_1(C)) )  &  (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, u1_struct_0(C)) &  (v1_funct_1(D) & v1_partfun1(D, u1_struct_0(C))) ) ) ) ) )  =>  (r2_hidden(A, a_3_1_msafree5(B, C, D)) <=>  (? [E, F] :  ( (m1_subset_1(E, u4_struct_0(C)) & m1_msafree4(F, k3_finseq_2(u1_struct_0(C)), k6_finseq_2(u1_struct_0(C), u3_msualg_1(C, k1_msafree3(C, D))), k3_msualg_1(C, E, k1_msafree3(C, D))))  &  (A=k7_msafree5(C, D, E, F) &  (? [G] :  (m2_finseq_1(G, k4_ordinal1) &  (r1_xxreal_0(k1_wsierp_1(G), B) &  (k4_finseq_1(G)=k4_finseq_1(k1_msualg_1(C, E)) &  (! [H] :  (v7_ordinal1(H) =>  (! [I] :  (m1_subset_1(I, k3_card_3(u3_msualg_1(C, k1_msafree3(C, D)))) =>  ( (r2_tarski(H, k4_finseq_1(k1_msualg_1(C, E))) & I=k1_funct_1(F, H))  => k1_funct_1(G, H)=k10_msafree5(C, D, k1_msafree3(C, D), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_2_msafree5, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(B) &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  & l1_msualg_1(C)) )  &  (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, u1_struct_0(C)) &  (v1_funct_1(D) & v1_partfun1(D, u1_struct_0(C))) ) ) ) ) )  =>  (r2_hidden(A, a_3_2_msafree5(B, C, D)) <=>  (? [E, F] :  ( (m1_subset_1(E, u4_struct_0(C)) & m1_msafree4(F, k3_finseq_2(u1_struct_0(C)), k6_finseq_2(u1_struct_0(C), u3_msualg_1(C, k1_msafree3(C, D))), k3_msualg_1(C, E, k1_msafree3(C, D))))  &  (A=k7_msafree5(C, D, E, F) & r1_tarski(k3_tarski(a_4_0_msafree5(C, D, E, F)), B)) ) ) ) ) ) ).
fof(fraenkel_a_3_3_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) )  &  (v5_msafree4(D, B, C) &  (v6_msafree4(D, B, C) &  (v7_msafree4(D, B, C) &  (v8_msafree4(D, B, C) & l3_msualg_1(D, B)) ) ) ) ) )  =>  (r2_hidden(A, a_3_3_msafree5(B, C, D)) <=>  (? [E] :  (v7_ordinal1(E) & A=k13_msafree5(B, C, D, E)) ) ) ) ) ).
fof(fraenkel_a_3_4_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) )  &  (v5_msafree4(D, B, C) &  (v6_msafree4(D, B, C) &  (v7_msafree4(D, B, C) &  (v8_msafree4(D, B, C) & l3_msualg_1(D, B)) ) ) ) ) )  =>  (r2_hidden(A, a_3_4_msafree5(B, C, D)) <=>  (? [E] :  (v7_ordinal1(E) & A=k14_msafree5(B, C, D, E)) ) ) ) ) ).
fof(fraenkel_a_4_4_msafree5, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  &  (m1_subset_1(C, u4_struct_0(B)) &  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) & v1_partfun1(D, u1_struct_0(B))) ) ) )  & m1_msafree4(E, k3_finseq_2(u1_struct_0(B)), k6_finseq_2(u1_struct_0(B), u3_msualg_1(B, k1_msafree3(B, D))), k3_msualg_1(B, C, k1_msafree3(B, D)))) ) )  =>  (r2_hidden(A, a_4_4_msafree5(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, k3_card_3(u3_msualg_1(B, k1_msafree3(B, D)))) &  (A=k15_msafree5(B, D, k1_msafree3(B, D), F) & r2_tarski(F, k10_xtuple_0(E))) ) ) ) ) ) ).
fof(fraenkel_a_3_5_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) )  & m1_subset_1(D, k3_card_3(u3_msualg_1(B, k1_msafree3(B, C))))) )  =>  (r2_hidden(A, a_3_5_msafree5(B, C, D)) <=>  (? [E] :  (m1_trees_1(E, k9_xtuple_0(D)) &  (A=E &  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (? [G] :  (m1_msafree4(G, u1_struct_0(B), C, k1_msafree4(u1_struct_0(B), C, F)) & k1_funct_1(D, E)=k1_domain_1(k1_msafree4(u1_struct_0(B), C, F), u1_struct_0(B), G, F)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_6_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(B)) & v6_msafree5(C)) ) ) )  & m1_subset_1(D, k3_card_3(u3_msualg_1(B, k1_msafree3(B, C))))) )  =>  (r2_hidden(A, a_3_6_msafree5(B, C, D)) <=>  (? [E] :  (m1_trees_1(E, k9_xtuple_0(D)) &  (A=E &  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (? [G] :  (m1_msafree4(G, u1_struct_0(B), C, k1_msafree4(u1_struct_0(B), C, F)) & k1_funct_1(D, E)=k1_domain_1(k1_msafree4(u1_struct_0(B), C, F), u1_struct_0(B), G, F)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_0_0_msafree5, axiom,  (! [A] :  (r2_hidden(A, a_0_0_msafree5) <=>  (? [B] :  (v7_ordinal1(B) &  (A=f1_s1_msafree5(B) &  ~ (r1_xxreal_0(k3_finseq_1(f2_s1_msafree5), B)) ) ) ) ) ) ).
fof(fc1_msalimit, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  &  (m1_pralg_2(C, A, B) &  (m1_subset_1(D, A) & m1_subset_1(E, u4_struct_0(B))) ) ) )  =>  (v1_relat_1(k1_funct_1(k1_funct_1(k11_pralg_2(A, B, C), D), E)) & v1_funct_1(k1_funct_1(k1_funct_1(k11_pralg_2(A, B, C), D), E))) ) ) ).
fof(fc2_msalimit, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  &  (m1_pralg_2(C, A, B) & m1_subset_1(D, u1_struct_0(B))) ) )  => v4_funct_1(k1_funct_1(k10_pralg_2(A, B, C), D))) ) ).
fof(fc3_msalimit, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  &  (m1_msalimit(C, A, B) & m2_msalimit(D, A, B, C)) ) )  => v1_msalimit(k2_msalimit(A, B, C, D), A, B, C)) ) ).
fof(rc1_msalimit, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  & m1_msalimit(C, A, B)) )  =>  (? [D] :  (m2_msalimit(D, A, B, C) &  (v1_relat_1(D) &  (v4_relat_1(D, u1_orders_2(A)) &  (v1_funct_1(D) &  (v1_partfun1(D, u1_orders_2(A)) &  (v1_funcop_1(D) &  (v2_funcop_1(D) & v1_msalimit(D, A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(rc2_msalimit, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v2_msalimit(A)) ) ).
fof(rc3_msalimit, axiom,  (? [A] :  (l1_msualg_1(A) &  (v2_struct_0(A) &  (v11_struct_0(A) & v1_msualg_1(A)) ) ) ) ).
fof(fc4_msalimit, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v1_xboole_0(k4_msalimit(A)))  & v2_msalimit(k4_msalimit(A))) ) ) ).
fof(d1_msalimit, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_pralg_2(C, u1_struct_0(A), B) =>  (m1_msalimit(C, A, B) <=>  (? [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_orders_2(A)) &  (v1_funct_1(D) &  (v1_partfun1(D, u1_orders_2(A)) & v1_funcop_1(D)) ) ) )  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( (r1_orders_2(A, F, E) &  (r1_orders_2(A, G, F) &  (! [H] :  (m2_pboole(H, u1_struct_0(B), u3_msualg_1(B, k5_pralg_2(u1_struct_0(A), B, C, E)), u3_msualg_1(B, k5_pralg_2(u1_struct_0(A), B, C, F))) =>  (! [I] :  (m2_pboole(I, u1_struct_0(B), u3_msualg_1(B, k5_pralg_2(u1_struct_0(A), B, C, F)), u3_msualg_1(B, k5_pralg_2(u1_struct_0(A), B, C, G))) =>  ~ ( (H=k1_binop_1(D, F, E) &  (I=k1_binop_1(D, G, F) &  (k1_binop_1(D, G, E)=k3_msualg_3(u1_struct_0(B), u3_msualg_1(B, k5_pralg_2(u1_struct_0(A), B, C, E)), u3_msualg_1(B, k5_pralg_2(u1_struct_0(A), B, C, F)), u3_msualg_1(B, k5_pralg_2(u1_struct_0(A), B, C, G)), H, I) & r1_msualg_3(B, k5_pralg_2(u1_struct_0(A), B, C, E), k5_pralg_2(u1_struct_0(A), B, C, F), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_msalimit, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_msalimit(C, A, B) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_orders_2(A)) &  (v1_funct_1(D) &  (v1_partfun1(D, u1_orders_2(A)) & v1_funcop_1(D)) ) ) )  =>  (m2_msalimit(D, A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( (r1_orders_2(A, F, E) &  (r1_orders_2(A, G, F) &  (! [H] :  (m2_pboole(H, u1_struct_0(B), u3_msualg_1(B, k5_pralg_2(u1_struct_0(A), B, C, E)), u3_msualg_1(B, k5_pralg_2(u1_struct_0(A), B, C, F))) =>  (! [I] :  (m2_pboole(I, u1_struct_0(B), u3_msualg_1(B, k5_pralg_2(u1_struct_0(A), B, C, F)), u3_msualg_1(B, k5_pralg_2(u1_struct_0(A), B, C, G))) =>  ~ ( (H=k1_binop_1(D, F, E) &  (I=k1_binop_1(D, G, F) &  (k1_binop_1(D, G, E)=k3_msualg_3(u1_struct_0(B), u3_msualg_1(B, k5_pralg_2(u1_struct_0(A), B, C, E)), u3_msualg_1(B, k5_pralg_2(u1_struct_0(A), B, C, F)), u3_msualg_1(B, k5_pralg_2(u1_struct_0(A), B, C, G)), H, I) & r1_msualg_3(B, k5_pralg_2(u1_struct_0(A), B, C, E), k5_pralg_2(u1_struct_0(A), B, C, F), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_msalimit, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_msalimit(C, A, B) =>  (! [D] :  (m2_msalimit(D, A, B, C) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r1_orders_2(A, F, E) => k1_msalimit(A, B, C, D, E, F)=k1_binop_1(D, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_msalimit, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  & l1_msualg_1(E)) )  =>  (! [F] :  (m1_msalimit(F, A, E) =>  (! [G] :  (m2_msalimit(G, A, E, F) =>  ( (r1_orders_2(A, C, B) & r1_orders_2(A, D, C))  => r8_pboole(u1_struct_0(E), k3_msualg_3(u1_struct_0(E), u3_msualg_1(E, k5_pralg_2(u1_struct_0(A), E, F, B)), u3_msualg_1(E, k5_pralg_2(u1_struct_0(A), E, F, C)), u3_msualg_1(E, k5_pralg_2(u1_struct_0(A), E, F, D)), k1_msalimit(A, E, F, G, B, C), k1_msalimit(A, E, F, G, C, D)), k1_msalimit(A, E, F, G, B, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_msalimit, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_msalimit(C, A, B) =>  (! [D] :  (m2_msalimit(D, A, B, C) =>  (v1_msalimit(D, A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k1_binop_1(D, E, E)=k2_msualg_3(u1_struct_0(B), u3_msualg_1(B, k5_pralg_2(u1_struct_0(A), B, C, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_msalimit, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_msalimit(C, A, B) =>  (! [D] :  (m2_msalimit(D, A, B, C) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r1_orders_2(A, F, E) =>  (! [G] :  (m2_pboole(G, u1_struct_0(B), u3_msualg_1(B, k5_pralg_2(u1_struct_0(A), B, C, E)), u3_msualg_1(B, k5_pralg_2(u1_struct_0(A), B, C, F))) =>  (r8_pboole(u1_struct_0(B), G, k1_msalimit(A, B, C, D, E, F)) => r1_msualg_3(B, k5_pralg_2(u1_struct_0(A), B, C, E), k5_pralg_2(u1_struct_0(A), B, C, F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_msalimit, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_msalimit(C, A, B) =>  (! [D] :  (m2_msalimit(D, A, B, C) =>  (! [E] :  (m2_msalimit(E, A, B, C) =>  (E=k2_msalimit(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r1_orders_2(A, G, F) => k1_binop_1(E, G, F)=k15_funcop_1(G, F, k2_msualg_3(u1_struct_0(B), u3_msualg_1(B, k5_pralg_2(u1_struct_0(A), B, C, F))), k3_msualg_3(u1_struct_0(B), u3_msualg_1(B, k5_pralg_2(u1_struct_0(A), B, C, F)), u3_msualg_1(B, k5_pralg_2(u1_struct_0(A), B, C, F)), u3_msualg_1(B, k5_pralg_2(u1_struct_0(A), B, C, G)), k2_msualg_3(u1_struct_0(B), u3_msualg_1(B, k5_pralg_2(u1_struct_0(A), B, C, F))), k1_msalimit(A, B, C, D, F, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_msalimit, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_msalimit(C, A, B) =>  (! [D] :  (m2_msalimit(D, A, B, C) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r1_orders_2(A, F, E) =>  (E=F | k1_binop_1(D, F, E)=k1_binop_1(k2_msalimit(A, B, C, D), F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_msalimit, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_msalimit(C, A, B) =>  (! [D] :  ( (v1_msalimit(D, A, B, C) & m2_msalimit(D, A, B, C))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r1_orders_2(A, F, E) => k1_binop_1(k2_msalimit(A, B, C, D), F, E)=k1_binop_1(D, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_msalimit, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_msalimit(C, A, B) =>  (! [D] :  (m2_msalimit(D, A, B, C) =>  (! [E] :  ( (v3_msualg_1(E, B) & m1_msualg_2(E, B, k14_pralg_2(u1_struct_0(A), B, C)))  =>  (E=k3_msalimit(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, k1_funct_1(k10_pralg_2(u1_struct_0(A), B, C), F)) =>  (r2_tarski(G, k1_funct_1(u3_msualg_1(B, E), F)) <=>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (r1_orders_2(A, I, H) => k1_funct_1(k1_msualg_3(u1_struct_0(B), u3_msualg_1(B, k5_pralg_2(u1_struct_0(A), B, C, H)), u3_msualg_1(B, k5_pralg_2(u1_struct_0(A), B, C, I)), k1_msalimit(A, B, C, D, H, I), F), k1_funct_1(G, H))=k1_funct_1(G, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_msalimit, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_orders_3(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_msalimit(C, A, B) =>  (! [D] :  ( (v1_msalimit(D, A, B, C) & m2_msalimit(D, A, B, C))  => k3_msalimit(A, B, C, D)=k14_pralg_2(u1_struct_0(A), B, C)) ) ) ) ) ) ) ) ).
fof(d7_msalimit, axiom,  (! [A] :  (v2_msalimit(A) <=>  (! [B] :  (r2_tarski(B, A) =>  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_msualg_1(B) & l1_msualg_1(B)) ) ) ) ) ) ) ).
fof(t6_msalimit, axiom,  (! [A] :  ( (v11_struct_0(A) & l1_msualg_1(A))  => r3_pua2mss1(A, A, k6_partfun1(u1_struct_0(A)), k6_partfun1(u4_struct_0(A)))) ) ).
fof(d9_msalimit, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (B=k4_msalimit(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  (? [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v11_struct_0(D))  &  (v1_msualg_1(D) & l1_msualg_1(D)) ) )  &  (C=D &  (r1_tarski(u1_struct_0(D), A) & r1_tarski(u4_struct_0(D), A)) ) ) ) ) ) ) ) ) ) ).
fof(d10_msalimit, axiom,  (! [A] :  (l1_msualg_1(A) =>  (! [B] :  (l1_msualg_1(B) =>  (! [C] :  (C=k5_msalimit(A, B) <=>  (! [D] :  (r2_tarski(D, C) <=>  (? [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  &  (? [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  &  (D=k4_tarski(E, F) & r3_pua2mss1(A, B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_m1_msalimit, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) ) )  =>  (! [C] :  (m1_msalimit(C, A, B) => m1_pralg_2(C, u1_struct_0(A), B)) ) ) ) ).
fof(existence_m1_msalimit, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) ) )  =>  (? [C] : m1_msalimit(C, A, B)) ) ) ).
fof(dt_m2_msalimit, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  & m1_msalimit(C, A, B)) )  =>  (! [D] :  (m2_msalimit(D, A, B, C) =>  (v1_relat_1(D) &  (v4_relat_1(D, u1_orders_2(A)) &  (v1_funct_1(D) &  (v1_partfun1(D, u1_orders_2(A)) & v1_funcop_1(D)) ) ) ) ) ) ) ) ).
fof(existence_m2_msalimit, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  & m1_msalimit(C, A, B)) )  =>  (? [D] : m2_msalimit(D, A, B, C)) ) ) ).
fof(dt_k1_msalimit, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  &  (m1_msalimit(C, A, B) &  (m2_msalimit(D, A, B, C) &  (m1_subset_1(E, u1_struct_0(A)) & m1_subset_1(F, u1_struct_0(A))) ) ) ) )  => m2_pboole(k1_msalimit(A, B, C, D, E, F), u1_struct_0(B), u3_msualg_1(B, k5_pralg_2(u1_struct_0(A), B, C, E)), u3_msualg_1(B, k5_pralg_2(u1_struct_0(A), B, C, F)))) ) ).
fof(dt_k2_msalimit, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  &  (m1_msalimit(C, A, B) & m2_msalimit(D, A, B, C)) ) )  => m2_msalimit(k2_msalimit(A, B, C, D), A, B, C)) ) ).
fof(dt_k3_msalimit, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  &  (m1_msalimit(C, A, B) & m2_msalimit(D, A, B, C)) ) )  =>  (v3_msualg_1(k3_msalimit(A, B, C, D), B) & m1_msualg_2(k3_msalimit(A, B, C, D), B, k14_pralg_2(u1_struct_0(A), B, C))) ) ) ).
fof(dt_m3_msalimit, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v2_msalimit(A))  =>  (! [B] :  (m3_msalimit(B, A) =>  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_msualg_1(B) & l1_msualg_1(B)) ) ) ) ) ) ) ).
fof(existence_m3_msalimit, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v2_msalimit(A))  =>  (? [B] : m3_msalimit(B, A)) ) ) ).
fof(redefinition_m3_msalimit, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v2_msalimit(A))  =>  (! [B] :  (m3_msalimit(B, A) <=> m1_subset_1(B, A)) ) ) ) ).
fof(fc1_msaterm, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  ~ (v1_xboole_0(k1_msaterm(A, B))) ) ) ).
fof(cc1_msaterm, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_msaterm(A, B)) => v1_finset_1(C)) ) ) ) ).
fof(d1_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  => k1_msaterm(A, B)=k4_dtconstr(k5_msafree(A, B))) ) ) ) ).
fof(d2_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m2_subset_1(C, u1_struct_0(k5_msafree(A, B)), k7_dtconstr(k5_msafree(A, B))) =>  (! [D] :  (m1_trees_4(D, k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B)) =>  (m1_msaterm(D, A, B, C) <=> m2_dtconstr(D, k5_msafree(A, B), C)) ) ) ) ) ) ) ) ) ).
fof(t1_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  ( (r2_tarski(k4_trees_4(k4_tarski(C, u1_struct_0(A)), D), k1_msaterm(A, B)) & v6_trees_3(D))  <=> m1_msaterm(D, A, B, k2_msaterm(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t2_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_dtconstr(C, u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B)) =>  ~ ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(B, D)) =>  ~ (k1_funct_1(C, k1_xboole_0)=k4_tarski(E, D)) ) ) ) )  &  ~ (r2_tarski(k1_funct_1(C, k1_xboole_0), k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A))))) ) ) ) ) ) ) ) ) ).
fof(t3_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (m1_dtconstr(D, u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, C), B))), k5_trees_3(u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, C), B)))), k1_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, C), B))) =>  ~ ( ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  ~ ( (r2_tarski(F, k1_funct_1(u3_msualg_1(A, C), E)) & k1_funct_1(D, k1_xboole_0)=k4_tarski(F, E)) ) ) ) )  &  ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(B, E)) =>  ~ (k1_funct_1(D, k1_xboole_0)=k4_tarski(F, E)) ) ) ) )  &  ~ (r2_tarski(k1_funct_1(D, k1_xboole_0), k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_funct_1(B, C)) => m1_dtconstr(k1_trees_4(k4_tarski(D, C)), u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B))) ) ) ) ) ) ) ) ).
fof(t5_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_dtconstr(C, u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(B, D)) =>  (k1_funct_1(C, k1_xboole_0)=k4_tarski(E, D) => C=k1_trees_4(k4_tarski(E, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (r2_tarski(E, k1_funct_1(u3_msualg_1(A, C), D)) => m1_dtconstr(k1_trees_4(k4_tarski(E, D)), u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, C), B))), k5_trees_3(u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, C), B)))), k1_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, C), B)))) ) ) ) ) ) ) ) ) ) ).
fof(t7_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (m1_dtconstr(D, u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, C), B))), k5_trees_3(u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, C), B)))), k1_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, C), B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  ( (r2_tarski(F, k1_funct_1(u3_msualg_1(A, C), E)) & k1_funct_1(D, k1_xboole_0)=k4_tarski(F, E))  => D=k1_trees_4(k4_tarski(F, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(B, D)) => m1_dtconstr(k1_trees_4(k4_tarski(E, D)), u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, C), B))), k5_trees_3(u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, C), B)))), k1_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, C), B)))) ) ) ) ) ) ) ) ) ) ).
fof(t9_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (m1_dtconstr(D, u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, C), B))), k5_trees_3(u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, C), B)))), k1_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, C), B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(B, E)) =>  (k1_funct_1(D, k1_xboole_0)=k4_tarski(F, E) => D=k1_trees_4(k4_tarski(F, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_dtconstr(C, u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  ~ ( (k1_funct_1(C, k1_xboole_0)=k4_tarski(D, u1_struct_0(A)) &  (! [E] :  (m1_msaterm(E, A, B, k2_msaterm(A, B, D)) =>  ~ (C=k4_trees_4(k4_tarski(D, u1_struct_0(A)), E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, B), D)) => k4_msaterm(A, B, C, D, E)=k1_trees_4(k4_tarski(E, D))) ) ) ) ) ) ) ) ) ) ).
fof(d4_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(C, D)) => k5_msaterm(A, B, C, D, E)=k1_trees_4(k4_tarski(E, D))) ) ) ) ) ) ) ) ) ) ).
fof(t11_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_dtconstr(C, u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & r2_tarski(C, k7_msafree(A, B, D))) ) ) ) ) ) ) ) ).
fof(t12_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_tarski(k7_msafree(A, B, C), k1_msaterm(A, B))) ) ) ) ) ) ).
fof(t13_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  => k1_msaterm(A, B)=k3_card_3(k8_msafree(A, B))) ) ) ) ).
fof(d5_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_dtconstr(C, u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (D=k7_msaterm(A, B, C) <=> r2_tarski(C, k7_msafree(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t14_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_dtconstr(C, u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(B, D)) =>  (C=k1_trees_4(k4_tarski(E, D)) => k7_msaterm(A, B, C)=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (m1_dtconstr(D, u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, C), B))), k5_trees_3(u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, C), B)))), k1_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, C), B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  ( (r2_tarski(F, k1_funct_1(u3_msualg_1(A, C), E)) & D=k1_trees_4(k4_tarski(F, E)))  => k7_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, C), B), D)=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (m1_dtconstr(D, u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, C), B))), k5_trees_3(u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, C), B)))), k1_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, C), B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(B, E)) =>  (D=k1_trees_4(k4_tarski(F, E)) => k7_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, C), B), D)=E) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_dtconstr(C, u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (k1_funct_1(C, k1_xboole_0)=k4_tarski(D, u1_struct_0(A)) => k7_msaterm(A, B, C)=k2_msualg_1(A, D)) ) ) ) ) ) ) ) ) ).
fof(t18_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, C), D)) => k7_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, C), B), k4_msaterm(A, C, B, D, E))=D) ) ) ) ) ) ) ) ) ) ).
fof(t19_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(B, D)) => k7_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, C), B), k5_msaterm(A, C, B, D, E))=D) ) ) ) ) ) ) ) ) ) ).
fof(t20_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_msaterm(D, A, B, k2_msaterm(A, B, C)) => k7_msaterm(A, B, k6_msaterm(A, B, k2_msaterm(A, B, C), D))=k2_msualg_1(A, C)) ) ) ) ) ) ) ) ).
fof(t21_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_trees_4(D, k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B)) =>  (m1_msaterm(D, A, B, k2_msaterm(A, B, C)) <=> r1_lang1(k5_msafree(A, B), k2_msaterm(A, B, C), k1_dtconstr(u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), D))) ) ) ) ) ) ) ) ) ).
fof(t22_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_msaterm(D, A, B, k2_msaterm(A, B, C)) =>  (k3_finseq_1(D)=k3_finseq_1(k1_msualg_1(A, C)) &  (k4_finseq_1(D)=k4_finseq_1(k1_msualg_1(A, C)) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) => m1_dtconstr(k1_funct_1(D, E), u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_msaterm(D, A, B, k2_msaterm(A, B, C)) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) =>  (! [F] :  (m1_dtconstr(F, u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B)) =>  (F=k1_funct_1(D, E) =>  (F=k7_partfun1(k1_msaterm(A, B), D, E) &  (k7_msaterm(A, B, F)=k1_funct_1(k1_msualg_1(A, C), E) & k7_msaterm(A, B, F)=k7_partfun1(u1_struct_0(A), k1_msualg_1(A, C), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  ~ ( ( (k3_finseq_1(D)=k3_finseq_1(k1_msualg_1(A, C)) | k4_finseq_1(D)=k4_finseq_1(k1_msualg_1(A, C)))  &  ( ( (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_tarski(E, k4_finseq_1(D)) &  (! [F] :  (m1_dtconstr(F, u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B)) =>  ~ ( (F=k1_funct_1(D, E) & k7_msaterm(A, B, F)=k1_funct_1(k1_msualg_1(A, C), E)) ) ) ) ) ) ) )  |  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_tarski(E, k4_finseq_1(D)) &  (! [F] :  (m1_dtconstr(F, u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B)) =>  ~ ( (F=k1_funct_1(D, E) & k7_msaterm(A, B, F)=k7_partfun1(u1_struct_0(A), k1_msualg_1(A, C), E)) ) ) ) ) ) ) ) )  &  ~ (m1_msaterm(D, A, B, k2_msaterm(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_trees_4(D, k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B)) =>  ~ ( ( (k3_finseq_1(D)=k3_finseq_1(k1_msualg_1(A, C)) | k4_finseq_1(D)=k4_finseq_1(k1_msualg_1(A, C)))  &  ( ( (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) =>  (! [F] :  (m1_dtconstr(F, u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B)) =>  (F=k1_funct_1(D, E) => k7_msaterm(A, B, F)=k1_funct_1(k1_msualg_1(A, C), E)) ) ) ) ) )  |  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) =>  (! [F] :  (m1_dtconstr(F, u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B)) =>  (F=k1_funct_1(D, E) => k7_msaterm(A, B, F)=k7_partfun1(u1_struct_0(A), k1_msualg_1(A, C), E)) ) ) ) ) ) )  &  ~ (m1_msaterm(D, A, B, k2_msaterm(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (r2_pboole(u1_struct_0(A), B, C) =>  (! [D] :  (m1_dtconstr(D, u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B)) => m1_dtconstr(D, u1_struct_0(k5_msafree(A, C)), k5_trees_3(u1_struct_0(k5_msafree(A, C))), k1_msaterm(A, C))) ) ) ) ) ) ) ) ) ).
fof(t27_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_dtconstr(D, u1_struct_0(k5_msafree(A, C)), k5_trees_3(u1_struct_0(k5_msafree(A, C))), k1_msaterm(A, C)) => m1_dtconstr(D, u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C))), k5_trees_3(u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C)))), k1_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C)))) ) ) ) ) ) ) ) ).
fof(d6_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_dtconstr(C, u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B)) =>  (m2_msaterm(C, A, B) <=> r2_tarski(k1_funct_1(C, k1_xboole_0), k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A))))) ) ) ) ) ) ) ).
fof(d7_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_msaterm(A, B))))  =>  (m3_msaterm(C, A, B) <=>  (? [D] :  (m2_msaterm(D, A, B) & r2_tarski(D, C)) ) ) ) ) ) ) ) ) ).
fof(t28_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_dtconstr(C, u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B)) =>  ( ~ (v1_zfmisc_1(C))  => m2_msaterm(C, A, B)) ) ) ) ) ) ) ).
fof(t29_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_dtconstr(C, u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B)) =>  (! [D] :  (m1_trees_1(D, k9_xtuple_0(C)) => m1_dtconstr(k5_trees_2(C, D), u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B))) ) ) ) ) ) ) ) ).
fof(d8_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (m4_msaterm(C, A, B) <=> r5_pboole(u1_struct_0(A), C, u3_msualg_1(A, B))) ) ) ) ) ) ) ).
fof(t30_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m4_msaterm(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (r2_tarski(E, k1_funct_1(u3_msualg_1(A, B), D)) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(C, D)) =>  ~ (E=F) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_dtconstr(D, u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C))), k5_trees_3(u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C)))), k1_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C))) =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), C, u3_msualg_1(A, B)) =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) &  (v1_finset_1(F) & v3_trees_2(F)) ) )  =>  (r1_msaterm(A, B, C, D, E, F) <=>  (k9_xtuple_0(F)=k9_xtuple_0(D) &  (! [G] :  (m1_trees_1(G, k9_xtuple_0(F)) =>  ( (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, k1_funct_1(C, H)) =>  (k1_funct_1(D, G)=k4_tarski(I, H) => k1_funct_1(F, G)=k3_funct_2(k1_funct_1(C, H), k1_funct_1(u3_msualg_1(A, B), H), k1_msualg_3(u1_struct_0(A), C, u3_msualg_1(A, B), E, H), I)) ) ) ) )  &  ( (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, k1_funct_1(u3_msualg_1(A, B), H)) =>  (k1_funct_1(D, G)=k4_tarski(I, H) => k1_funct_1(F, G)=I) ) ) ) )  &  (! [H] :  (m1_subset_1(H, u4_struct_0(A)) =>  (k1_funct_1(D, G)=k4_tarski(H, u1_struct_0(A)) => k1_funct_1(F, G)=k1_funct_1(k5_msualg_1(A, H, B), k2_trees_9(F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m4_msaterm(C, A, B) =>  (! [D] :  (m1_dtconstr(D, u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C))), k5_trees_3(u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C)))), k1_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C))) =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), C, u3_msualg_1(A, B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, B), F)) =>  (D=k1_trees_4(k4_tarski(G, F)) => r1_msaterm(A, B, C, D, E, k2_trees_4(k1_funct_1(u3_msualg_1(A, B), F), G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m4_msaterm(C, A, B) =>  (! [D] :  (m1_dtconstr(D, u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C))), k5_trees_3(u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C)))), k1_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C))) =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), C, u3_msualg_1(A, B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, k1_funct_1(C, F)) =>  (D=k1_trees_4(k4_tarski(G, F)) => r1_msaterm(A, B, C, D, E, k2_trees_4(k1_funct_1(u3_msualg_1(A, B), F), k3_funct_2(k1_funct_1(C, F), k1_funct_1(u3_msualg_1(A, B), F), k1_msualg_3(u1_struct_0(A), C, u3_msualg_1(A, B), E, F), G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m4_msaterm(C, A, B) =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), C, u3_msualg_1(A, B)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (! [F] :  (m1_msaterm(F, A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C), k2_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C), E)) =>  (! [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) &  (v1_finseq_1(G) & v6_trees_3(G)) ) )  =>  ~ ( (k3_finseq_1(G)=k3_finseq_1(F) &  ( (! [H] :  (v7_ordinal1(H) =>  (! [I] :  (m1_dtconstr(I, u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C))), k5_trees_3(u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C)))), k1_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C))) =>  ~ ( (r2_tarski(H, k4_finseq_1(F)) &  (I=k1_funct_1(F, H) &  (! [J] :  ( (v1_relat_1(J) &  (v1_funct_1(J) &  (v1_finset_1(J) & v3_trees_2(J)) ) )  =>  ~ ( (J=k1_funct_1(G, H) & r1_msaterm(A, B, C, I, D, J)) ) ) ) ) ) ) ) ) ) )  &  (! [H] :  ( (v1_relat_1(H) &  (v1_funct_1(H) &  (v1_finset_1(H) & v3_trees_2(H)) ) )  =>  ~ ( (H=k4_trees_4(k1_funct_1(k5_msualg_1(A, E, B), k15_trees_3(G)), G) & r1_msaterm(A, B, C, k6_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C), k2_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C), E), F), D, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m4_msaterm(C, A, B) =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), C, u3_msualg_1(A, B)) =>  (! [E] :  (m1_dtconstr(E, u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C))), k5_trees_3(u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C)))), k1_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C))) =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) &  (v1_finset_1(F) & v3_trees_2(F)) ) )  =>  (r1_msaterm(A, B, C, E, D, F) =>  (! [G] :  (m1_trees_1(G, k9_xtuple_0(E)) =>  (! [H] :  (m1_trees_1(H, k9_xtuple_0(F)) =>  (H=G => r1_msaterm(A, B, C, k8_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C), E, G), D, k5_trees_2(F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m4_msaterm(C, A, B) =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), C, u3_msualg_1(A, B)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (! [F] :  (m1_msaterm(F, A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C), k2_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C), E)) =>  (! [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) &  (v1_finset_1(G) & v3_trees_2(G)) ) )  =>  ~ ( (r1_msaterm(A, B, C, k6_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C), k2_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C), E), F), D, G) &  (! [H] :  ( (v1_relat_1(H) &  (v1_funct_1(H) &  (v1_finseq_1(H) & v6_trees_3(H)) ) )  =>  ~ ( (k3_finseq_1(H)=k3_finseq_1(F) &  (G=k4_trees_4(k1_funct_1(k5_msualg_1(A, E, B), k15_trees_3(H)), H) &  (! [I] :  (v7_ordinal1(I) =>  (! [J] :  (m1_dtconstr(J, u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C))), k5_trees_3(u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C)))), k1_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C))) =>  ~ ( (r2_tarski(I, k4_finseq_1(F)) &  (J=k1_funct_1(F, I) &  (! [K] :  ( (v1_relat_1(K) &  (v1_funct_1(K) &  (v1_finset_1(K) & v3_trees_2(K)) ) )  =>  ~ ( (K=k1_funct_1(H, I) & r1_msaterm(A, B, C, J, D, K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m4_msaterm(C, A, B) =>  (! [D] :  (m1_dtconstr(D, u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C))), k5_trees_3(u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C)))), k1_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C))) =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), C, u3_msualg_1(A, B)) =>  (? [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) &  (v1_finset_1(F) & v3_trees_2(F)) ) )  & r1_msaterm(A, B, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m4_msaterm(C, A, B) =>  (! [D] :  (m1_dtconstr(D, u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C))), k5_trees_3(u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C)))), k1_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C))) =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), C, u3_msualg_1(A, B)) =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) &  (v1_finset_1(F) & v3_trees_2(F)) ) )  =>  (! [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) &  (v1_finset_1(G) & v3_trees_2(G)) ) )  =>  ( (r1_msaterm(A, B, C, D, E, F) & r1_msaterm(A, B, C, D, E, G))  => F=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m4_msaterm(C, A, B) =>  (! [D] :  (m1_dtconstr(D, u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C))), k5_trees_3(u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C)))), k1_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C))) =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), C, u3_msualg_1(A, B)) =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) &  (v1_finset_1(F) & v3_trees_2(F)) ) )  =>  (r1_msaterm(A, B, C, D, E, F) => r2_tarski(k1_funct_1(F, k1_xboole_0), k1_funct_1(u3_msualg_1(A, B), k7_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C), D)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m4_msaterm(C, A, B) =>  (! [D] :  (m1_dtconstr(D, u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C))), k5_trees_3(u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C)))), k1_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C))) =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), C, u3_msualg_1(A, B)) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, B), k7_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C), D))) =>  (F=k9_msaterm(A, B, C, D, E) <=>  (? [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) &  (v1_finset_1(G) & v3_trees_2(G)) ) )  &  (r1_msaterm(A, B, C, D, E, G) & F=k1_funct_1(G, k1_xboole_0)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m4_msaterm(C, A, B) =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), C, u3_msualg_1(A, B)) =>  (! [E] :  (m1_dtconstr(E, u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C))), k5_trees_3(u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C)))), k1_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C))) =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) &  (v1_finset_1(F) & v3_trees_2(F)) ) )  =>  (r1_msaterm(A, B, C, E, D, F) => k9_msaterm(A, B, C, E, D)=k1_funct_1(F, k1_xboole_0)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m4_msaterm(C, A, B) =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), C, u3_msualg_1(A, B)) =>  (! [E] :  (m1_dtconstr(E, u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C))), k5_trees_3(u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C)))), k1_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C))) =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) &  (v1_finset_1(F) & v3_trees_2(F)) ) )  =>  (r1_msaterm(A, B, C, E, D, F) =>  (! [G] :  (m1_trees_1(G, k9_xtuple_0(E)) => k1_funct_1(F, G)=k9_msaterm(A, B, C, k8_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C), E, G), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m4_msaterm(C, A, B) =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), C, u3_msualg_1(A, B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, B), E)) => k9_msaterm(A, B, C, k4_msaterm(A, B, C, E, F), D)=F) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m4_msaterm(C, A, B) =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), C, u3_msualg_1(A, B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(C, E)) => k9_msaterm(A, B, C, k5_msaterm(A, B, C, E, F), D)=k3_funct_2(k1_funct_1(C, E), k1_funct_1(u3_msualg_1(A, B), E), k1_msualg_3(u1_struct_0(A), C, u3_msualg_1(A, B), D, E), F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_msaterm, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m4_msaterm(C, A, B) =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), C, u3_msualg_1(A, B)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (! [F] :  (m1_msaterm(F, A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C), k2_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C), E)) =>  (! [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) & v1_finseq_1(G)) )  =>  ( (k3_finseq_1(G)=k3_finseq_1(F) &  (! [H] :  (v7_ordinal1(H) =>  (r2_tarski(H, k4_finseq_1(F)) =>  (! [I] :  (m1_dtconstr(I, u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C))), k5_trees_3(u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C)))), k1_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C))) =>  (I=k1_funct_1(F, H) => k1_funct_1(G, H)=k9_msaterm(A, B, C, I, D)) ) ) ) ) ) )  => k9_msaterm(A, B, C, k6_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C), k2_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C), E), F), D)=k1_funct_1(k5_msualg_1(A, E, B), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_msaterm, axiom,  ( ( (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s1_msaterm)) =>  (! [B] :  (m1_subset_1(B, k1_funct_1(f2_s1_msaterm, A)) => p1_s1_msaterm(k1_trees_4(k4_tarski(B, A)))) ) ) )  &  (! [A] :  (m1_subset_1(A, u4_struct_0(f1_s1_msaterm)) =>  (! [B] :  (m1_msaterm(B, f1_s1_msaterm, f2_s1_msaterm, k2_msaterm(f1_s1_msaterm, f2_s1_msaterm, A)) =>  ( (! [C] :  (m1_dtconstr(C, u1_struct_0(k5_msafree(f1_s1_msaterm, f2_s1_msaterm)), k5_trees_3(u1_struct_0(k5_msafree(f1_s1_msaterm, f2_s1_msaterm))), k1_msaterm(f1_s1_msaterm, f2_s1_msaterm)) =>  (r2_tarski(C, k10_xtuple_0(B)) => p1_s1_msaterm(C)) ) )  => p1_s1_msaterm(k4_trees_4(k4_tarski(A, u1_struct_0(f1_s1_msaterm)), B))) ) ) ) ) )  =>  (! [A] :  (m1_dtconstr(A, u1_struct_0(k5_msafree(f1_s1_msaterm, f2_s1_msaterm)), k5_trees_3(u1_struct_0(k5_msafree(f1_s1_msaterm, f2_s1_msaterm))), k1_msaterm(f1_s1_msaterm, f2_s1_msaterm)) => p1_s1_msaterm(A)) ) ) ).
fof(s2_msaterm, axiom,  ( ( (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s2_msaterm)) =>  (! [B] :  (m1_subset_1(B, k1_funct_1(u3_msualg_1(f1_s2_msaterm, f2_s2_msaterm), A)) => p1_s2_msaterm(k1_trees_4(k4_tarski(B, A)))) ) ) )  &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s2_msaterm)) =>  (! [B] :  (m1_subset_1(B, k1_funct_1(f3_s2_msaterm, A)) => p1_s2_msaterm(k1_trees_4(k4_tarski(B, A)))) ) ) )  &  (! [A] :  (m1_subset_1(A, u4_struct_0(f1_s2_msaterm)) =>  (! [B] :  (m1_msaterm(B, f1_s2_msaterm, k2_pboole(u1_struct_0(f1_s2_msaterm), u3_msualg_1(f1_s2_msaterm, f2_s2_msaterm), f3_s2_msaterm), k2_msaterm(f1_s2_msaterm, k2_pboole(u1_struct_0(f1_s2_msaterm), u3_msualg_1(f1_s2_msaterm, f2_s2_msaterm), f3_s2_msaterm), A)) =>  ( (! [C] :  (m1_dtconstr(C, u1_struct_0(k5_msafree(f1_s2_msaterm, k2_pboole(u1_struct_0(f1_s2_msaterm), u3_msualg_1(f1_s2_msaterm, f2_s2_msaterm), f3_s2_msaterm))), k5_trees_3(u1_struct_0(k5_msafree(f1_s2_msaterm, k2_pboole(u1_struct_0(f1_s2_msaterm), u3_msualg_1(f1_s2_msaterm, f2_s2_msaterm), f3_s2_msaterm)))), k1_msaterm(f1_s2_msaterm, k2_pboole(u1_struct_0(f1_s2_msaterm), u3_msualg_1(f1_s2_msaterm, f2_s2_msaterm), f3_s2_msaterm))) =>  (r2_tarski(C, k10_xtuple_0(B)) => p1_s2_msaterm(C)) ) )  => p1_s2_msaterm(k8_trees_4(u1_struct_0(k5_msafree(f1_s2_msaterm, k2_pboole(u1_struct_0(f1_s2_msaterm), u3_msualg_1(f1_s2_msaterm, f2_s2_msaterm), f3_s2_msaterm))), k2_msaterm(f1_s2_msaterm, k2_pboole(u1_struct_0(f1_s2_msaterm), u3_msualg_1(f1_s2_msaterm, f2_s2_msaterm), f3_s2_msaterm), A), B))) ) ) ) ) ) )  =>  (! [A] :  (m1_dtconstr(A, u1_struct_0(k5_msafree(f1_s2_msaterm, k2_pboole(u1_struct_0(f1_s2_msaterm), u3_msualg_1(f1_s2_msaterm, f2_s2_msaterm), f3_s2_msaterm))), k5_trees_3(u1_struct_0(k5_msafree(f1_s2_msaterm, k2_pboole(u1_struct_0(f1_s2_msaterm), u3_msualg_1(f1_s2_msaterm, f2_s2_msaterm), f3_s2_msaterm)))), k1_msaterm(f1_s2_msaterm, k2_pboole(u1_struct_0(f1_s2_msaterm), u3_msualg_1(f1_s2_msaterm, f2_s2_msaterm), f3_s2_msaterm))) => p1_s2_msaterm(A)) ) ) ).
fof(s3_msaterm, axiom,  ( ( (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s3_msaterm)) =>  (! [B] :  (m1_subset_1(B, k1_funct_1(u3_msualg_1(f1_s3_msaterm, f2_s3_msaterm), A)) => p1_s3_msaterm(k4_msaterm(f1_s3_msaterm, f2_s3_msaterm, f3_s3_msaterm, A, B))) ) ) )  &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s3_msaterm)) =>  (! [B] :  (m1_subset_1(B, k1_funct_1(f3_s3_msaterm, A)) => p1_s3_msaterm(k5_msaterm(f1_s3_msaterm, f2_s3_msaterm, f3_s3_msaterm, A, B))) ) ) )  &  (! [A] :  (m1_subset_1(A, u4_struct_0(f1_s3_msaterm)) =>  (! [B] :  (m1_msaterm(B, f1_s3_msaterm, k2_pboole(u1_struct_0(f1_s3_msaterm), u3_msualg_1(f1_s3_msaterm, f2_s3_msaterm), f3_s3_msaterm), k2_msaterm(f1_s3_msaterm, k2_pboole(u1_struct_0(f1_s3_msaterm), u3_msualg_1(f1_s3_msaterm, f2_s3_msaterm), f3_s3_msaterm), A)) =>  ( (! [C] :  (m1_dtconstr(C, u1_struct_0(k5_msafree(f1_s3_msaterm, k2_pboole(u1_struct_0(f1_s3_msaterm), u3_msualg_1(f1_s3_msaterm, f2_s3_msaterm), f3_s3_msaterm))), k5_trees_3(u1_struct_0(k5_msafree(f1_s3_msaterm, k2_pboole(u1_struct_0(f1_s3_msaterm), u3_msualg_1(f1_s3_msaterm, f2_s3_msaterm), f3_s3_msaterm)))), k1_msaterm(f1_s3_msaterm, k2_pboole(u1_struct_0(f1_s3_msaterm), u3_msualg_1(f1_s3_msaterm, f2_s3_msaterm), f3_s3_msaterm))) =>  (r2_tarski(C, k10_xtuple_0(B)) => p1_s3_msaterm(C)) ) )  => p1_s3_msaterm(k6_msaterm(f1_s3_msaterm, k2_pboole(u1_struct_0(f1_s3_msaterm), u3_msualg_1(f1_s3_msaterm, f2_s3_msaterm), f3_s3_msaterm), k2_msaterm(f1_s3_msaterm, k2_pboole(u1_struct_0(f1_s3_msaterm), u3_msualg_1(f1_s3_msaterm, f2_s3_msaterm), f3_s3_msaterm), A), B))) ) ) ) ) ) )  =>  (! [A] :  (m1_dtconstr(A, u1_struct_0(k5_msafree(f1_s3_msaterm, k2_pboole(u1_struct_0(f1_s3_msaterm), u3_msualg_1(f1_s3_msaterm, f2_s3_msaterm), f3_s3_msaterm))), k5_trees_3(u1_struct_0(k5_msafree(f1_s3_msaterm, k2_pboole(u1_struct_0(f1_s3_msaterm), u3_msualg_1(f1_s3_msaterm, f2_s3_msaterm), f3_s3_msaterm)))), k1_msaterm(f1_s3_msaterm, k2_pboole(u1_struct_0(f1_s3_msaterm), u3_msualg_1(f1_s3_msaterm, f2_s3_msaterm), f3_s3_msaterm))) => p1_s3_msaterm(A)) ) ) ).
fof(dt_k1_msaterm, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  => m1_subset_1(k1_msaterm(A, B), k1_zfmisc_1(k5_trees_3(u1_struct_0(k5_msafree(A, B)))))) ) ).
fof(dt_k2_msaterm, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, u4_struct_0(A))) )  => m2_subset_1(k2_msaterm(A, B, C), u1_struct_0(k5_msafree(A, B)), k7_dtconstr(k5_msafree(A, B)))) ) ).
fof(redefinition_k2_msaterm, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, u4_struct_0(A))) )  => k2_msaterm(A, B, C)=k6_msafree(A, B, C)) ) ).
fof(dt_m1_msaterm, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, k7_dtconstr(k5_msafree(A, B)))) )  =>  (! [D] :  (m1_msaterm(D, A, B, C) => m1_trees_4(D, k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B))) ) ) ) ).
fof(existence_m1_msaterm, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, k7_dtconstr(k5_msafree(A, B)))) )  =>  (? [D] : m1_msaterm(D, A, B, C)) ) ) ).
fof(dt_f1_s1_msaterm, axiom,  ( ~ (v2_struct_0(f1_s1_msaterm))  &  ( ~ (v11_struct_0(f1_s1_msaterm))  & l1_msualg_1(f1_s1_msaterm)) ) ).
fof(dt_f2_s1_msaterm, axiom,  (v1_relat_1(f2_s1_msaterm) &  (v2_relat_1(f2_s1_msaterm) &  (v4_relat_1(f2_s1_msaterm, u1_struct_0(f1_s1_msaterm)) &  (v1_funct_1(f2_s1_msaterm) & v1_partfun1(f2_s1_msaterm, u1_struct_0(f1_s1_msaterm))) ) ) ) ).
fof(dt_f1_s2_msaterm, axiom,  ( ~ (v2_struct_0(f1_s2_msaterm))  &  ( ~ (v11_struct_0(f1_s2_msaterm))  & l1_msualg_1(f1_s2_msaterm)) ) ).
fof(dt_f2_s2_msaterm, axiom,  (v4_msualg_1(f2_s2_msaterm, f1_s2_msaterm) & l3_msualg_1(f2_s2_msaterm, f1_s2_msaterm)) ).
fof(dt_f3_s2_msaterm, axiom,  (v1_relat_1(f3_s2_msaterm) &  (v2_relat_1(f3_s2_msaterm) &  (v4_relat_1(f3_s2_msaterm, u1_struct_0(f1_s2_msaterm)) &  (v1_funct_1(f3_s2_msaterm) & v1_partfun1(f3_s2_msaterm, u1_struct_0(f1_s2_msaterm))) ) ) ) ).
fof(dt_k3_msaterm, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (m1_subset_1(C, k1_msaterm(A, B)) & m1_subset_1(D, k9_xtuple_0(C))) ) )  => m1_subset_1(k3_msaterm(A, B, C, D), u1_struct_0(k5_msafree(A, B)))) ) ).
fof(redefinition_k3_msaterm, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (m1_subset_1(C, k1_msaterm(A, B)) & m1_subset_1(D, k9_xtuple_0(C))) ) )  => k3_msaterm(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(dt_k4_msaterm, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  &  (m1_subset_1(D, u1_struct_0(A)) & m1_subset_1(E, k1_funct_1(u3_msualg_1(A, B), D))) ) ) )  => m1_dtconstr(k4_msaterm(A, B, C, D, E), u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C))), k5_trees_3(u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C)))), k1_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C)))) ) ).
fof(dt_k5_msaterm, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (l3_msualg_1(B, A) &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  &  (m1_subset_1(D, u1_struct_0(A)) & m1_subset_1(E, k1_funct_1(C, D))) ) ) )  => m1_dtconstr(k5_msaterm(A, B, C, D, E), u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C))), k5_trees_3(u1_struct_0(k5_msafree(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C)))), k1_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C)))) ) ).
fof(dt_k6_msaterm, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (m1_subset_1(C, k7_dtconstr(k5_msafree(A, B))) & m1_msaterm(D, A, B, C)) ) )  => m1_dtconstr(k6_msaterm(A, B, C, D), u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B))) ) ).
fof(redefinition_k6_msaterm, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (m1_subset_1(C, k7_dtconstr(k5_msafree(A, B))) & m1_msaterm(D, A, B, C)) ) )  => k6_msaterm(A, B, C, D)=k4_trees_4(C, D)) ) ).
fof(dt_f1_s3_msaterm, axiom,  ( ~ (v2_struct_0(f1_s3_msaterm))  &  ( ~ (v11_struct_0(f1_s3_msaterm))  & l1_msualg_1(f1_s3_msaterm)) ) ).
fof(dt_f2_s3_msaterm, axiom,  (v4_msualg_1(f2_s3_msaterm, f1_s3_msaterm) & l3_msualg_1(f2_s3_msaterm, f1_s3_msaterm)) ).
fof(dt_f3_s3_msaterm, axiom,  (v1_relat_1(f3_s3_msaterm) &  (v2_relat_1(f3_s3_msaterm) &  (v4_relat_1(f3_s3_msaterm, u1_struct_0(f1_s3_msaterm)) &  (v1_funct_1(f3_s3_msaterm) & v1_partfun1(f3_s3_msaterm, u1_struct_0(f1_s3_msaterm))) ) ) ) ).
fof(dt_k7_msaterm, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, k1_msaterm(A, B))) )  => m1_subset_1(k7_msaterm(A, B, C), u1_struct_0(A))) ) ).
fof(dt_m2_msaterm, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (! [C] :  (m2_msaterm(C, A, B) => m1_dtconstr(C, u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B))) ) ) ) ).
fof(existence_m2_msaterm, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (? [C] : m2_msaterm(C, A, B)) ) ) ).
fof(dt_m3_msaterm, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (! [C] :  (m3_msaterm(C, A, B) =>  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_msaterm(A, B)))) ) ) ) ) ).
fof(existence_m3_msaterm, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (? [C] : m3_msaterm(C, A, B)) ) ) ).
fof(dt_k8_msaterm, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (m1_subset_1(C, k1_msaterm(A, B)) & m1_subset_1(D, k9_xtuple_0(C))) ) )  => m1_dtconstr(k8_msaterm(A, B, C, D), u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B))) ) ).
fof(redefinition_k8_msaterm, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (m1_subset_1(C, k1_msaterm(A, B)) & m1_subset_1(D, k9_xtuple_0(C))) ) )  => k8_msaterm(A, B, C, D)=k5_trees_2(C, D)) ) ).
fof(dt_m4_msaterm, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  & l3_msualg_1(B, A))  =>  (! [C] :  (m4_msaterm(C, A, B) =>  (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) ) ) ) ) ) ).
fof(existence_m4_msaterm, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  & l3_msualg_1(B, A))  =>  (? [C] : m4_msaterm(C, A, B)) ) ) ).
fof(dt_k9_msaterm, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  (m4_msaterm(C, A, B) &  (m1_subset_1(D, k1_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C))) & m2_pboole(E, u1_struct_0(A), C, u3_msualg_1(A, B))) ) ) )  => m1_subset_1(k9_msaterm(A, B, C, D, E), k1_funct_1(u3_msualg_1(A, B), k7_msaterm(A, k2_pboole(u1_struct_0(A), u3_msualg_1(A, B), C), D)))) ) ).
fof(fc1_msinst_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k1_msinst_1(A)))  &  (v2_altcat_1(k1_msinst_1(A)) &  (v6_altcat_1(k1_msinst_1(A)) &  (v11_altcat_1(k1_msinst_1(A)) & v12_altcat_1(k1_msinst_1(A))) ) ) ) ) ) ).
fof(rc1_msinst_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (? [B] :  (l3_msualg_1(B, A) &  (v3_msualg_1(B, A) & v1_msualg_6(B, A)) ) ) ) ) ).
fof(fc2_msinst_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_xboole_0(k2_msinst_1(A, B))) ) ) ).
fof(fc3_msinst_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ~ (v1_xboole_0(B)) )  =>  ( ~ (v2_struct_0(k4_msinst_1(A, B)))  &  (v2_altcat_1(k4_msinst_1(A, B)) &  (v6_altcat_1(k4_msinst_1(A, B)) &  (v11_altcat_1(k4_msinst_1(A, B)) & v12_altcat_1(k4_msinst_1(A, B))) ) ) ) ) ) ).
fof(d1_msinst_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_altcat_1(B) & l2_altcat_1(B)) )  =>  (B=k1_msinst_1(A) <=>  (u1_struct_0(B)=k4_msalimit(A) &  ( (! [C] :  (m3_msalimit(C, k4_msalimit(A)) =>  (! [D] :  (m3_msalimit(D, k4_msalimit(A)) => k1_binop_1(u1_altcat_1(B), C, D)=k5_msalimit(C, D)) ) ) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  ( (r2_tarski(C, k4_msalimit(A)) &  (r2_tarski(D, k4_msalimit(A)) & r2_tarski(E, k4_msalimit(A))) )  =>  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  (! [G] :  ( (v1_relat_1(G) & v1_funct_1(G))  =>  (! [H] :  ( (v1_relat_1(H) & v1_funct_1(H))  =>  (! [I] :  ( (v1_relat_1(I) & v1_funct_1(I))  =>  ( (r2_hidden(k4_tarski(F, G), k1_binop_1(u1_altcat_1(B), C, D)) & r2_hidden(k4_tarski(H, I), k1_binop_1(u1_altcat_1(B), D, E)))  => k1_binop_1(k4_altcat_1(u1_struct_0(B), u1_altcat_1(B), u2_altcat_1(B), C, D, E), k4_tarski(H, I), k4_tarski(F, G))=k4_tarski(k3_relat_1(F, H), k3_relat_1(G, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_msinst_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) & l2_altcat_1(B)) ) ) )  =>  (B=k1_msinst_1(A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  & l1_msualg_1(C)) ) ) ) ) ) ) ) ) ).
fof(d2_msinst_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (C=k2_msinst_1(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (? [E] :  ( (v3_msualg_1(E, A) &  (v1_msualg_6(E, A) & l3_msualg_1(E, A)) )  &  (D=E &  (! [F] :  (m1_subset_1(F, k10_xtuple_0(u3_msualg_1(A, E))) => r1_tarski(F, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_msinst_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (l3_msualg_1(C, B) =>  (r2_tarski(C, k2_msinst_1(B, A)) =>  (r2_tarski(u3_msualg_1(B, C), k9_funct_2(u1_struct_0(B), k1_zfmisc_1(A))) & r2_tarski(u4_msualg_1(B, C), k1_funct_2(u4_struct_0(B), k4_partfun1(k4_partfun1(k4_ordinal1, A), A)))) ) ) ) ) ) ) ) ).
fof(t3_msinst_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (l3_msualg_1(D, A) =>  ~ ( (r1_pzfmisc1(u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D)) &  ( ~ (k3_msualg_1(A, B, C)=k1_xboole_0)  & k3_msualg_1(A, B, D)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_msinst_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  ( (v1_msualg_6(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  ( (v1_msualg_6(D, A) & l3_msualg_1(D, A))  =>  (! [E] :  ( (v1_msualg_6(E, A) & l3_msualg_1(E, A))  =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D)) =>  (! [G] :  (m2_pboole(G, u1_struct_0(A), u3_msualg_1(A, D), u3_msualg_1(A, E)) =>  (! [H] :  (m1_subset_1(H, k3_msualg_1(A, B, C)) =>  ~ ( ( ~ (k3_msualg_1(A, B, C)=k1_xboole_0)  &  (r1_pzfmisc1(u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D)) &  (r1_pzfmisc1(u1_struct_0(A), u3_msualg_1(A, D), u3_msualg_1(A, E)) &  (! [I] :  (m2_pboole(I, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, E)) =>  ~ ( (I=k8_pboole(F, G) & k5_msualg_3(A, C, E, B, I, H)=k5_msualg_3(A, D, E, B, G, k5_msualg_3(A, C, D, B, F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_msinst_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_msualg_6(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v1_msualg_6(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  ( (v1_msualg_6(D, A) & l3_msualg_1(D, A))  =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D)) =>  ~ ( (r1_pzfmisc1(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) &  (r1_pzfmisc1(u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D)) &  (r1_msualg_3(A, B, C, E) &  (r1_msualg_3(A, C, D, F) &  (! [G] :  (m2_pboole(G, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, D)) =>  ~ ( (G=k8_pboole(E, F) & r1_msualg_3(A, B, D, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_msinst_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (! [D] :  ( (r2_tarski(C, k2_msinst_1(A, B)) & r2_tarski(D, k2_msinst_1(A, B)))  =>  (! [E] :  (E=k3_msinst_1(A, B, C, D) <=>  (! [F] :  (r2_tarski(F, E) <=>  (? [G] :  ( (v3_msualg_1(G, A) &  (v1_msualg_6(G, A) & l3_msualg_1(G, A)) )  &  (? [H] :  ( (v3_msualg_1(H, A) &  (v1_msualg_6(H, A) & l3_msualg_1(H, A)) )  &  (? [I] :  (m2_pboole(I, u1_struct_0(A), u3_msualg_1(A, G), u3_msualg_1(A, H)) &  (G=C &  (H=D &  (I=F &  (r1_pzfmisc1(u1_struct_0(A), u3_msualg_1(A, G), u3_msualg_1(A, H)) & r1_msualg_3(A, G, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_msinst_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v6_altcat_1(C) & l2_altcat_1(C)) )  =>  (C=k4_msinst_1(A, B) <=>  (u1_struct_0(C)=k2_msinst_1(A, B) &  ( (! [D] :  (m1_subset_1(D, k2_msinst_1(A, B)) =>  (! [E] :  (m1_subset_1(E, k2_msinst_1(A, B)) => k1_binop_1(u1_altcat_1(C), D, E)=k3_msinst_1(A, B, D, E)) ) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  (! [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) & v1_funcop_1(G)) )  =>  (! [H] :  ( (v1_relat_1(H) &  (v1_funct_1(H) & v1_funcop_1(H)) )  =>  ( (r2_tarski(G, k1_binop_1(u1_altcat_1(C), D, E)) & r2_tarski(H, k1_binop_1(u1_altcat_1(C), E, F)))  => k1_binop_1(k4_altcat_1(u1_struct_0(C), u1_altcat_1(C), u2_altcat_1(C), D, E, F), H, G)=k8_pboole(G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_msinst_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_altcat_1(C) &  (v11_altcat_1(C) &  (v12_altcat_1(C) & l2_altcat_1(C)) ) ) )  =>  (C=k4_msinst_1(B, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (v3_msualg_1(D, B) &  (v1_msualg_6(D, B) & l3_msualg_1(D, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_msinst_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k1_msinst_1(A)))  &  (v6_altcat_1(k1_msinst_1(A)) & l2_altcat_1(k1_msinst_1(A))) ) ) ) ).
fof(dt_k4_msinst_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ~ (v1_xboole_0(B)) )  =>  ( ~ (v2_struct_0(k4_msinst_1(A, B)))  &  (v6_altcat_1(k4_msinst_1(A, B)) & l2_altcat_1(k4_msinst_1(A, B))) ) ) ) ).
fof(rc1_msscyc_1, axiom,  (? [A] :  (l1_graph_1(A) &  ( ~ (v2_struct_0(A))  &  (v11_struct_0(A) & v14_struct_0(A)) ) ) ) ).
fof(rc2_msscyc_1, axiom,  (? [A] :  (l1_graph_1(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v14_struct_0(A) &  (v1_graph_1(A) &  (v4_graph_1(A) &  (v5_graph_1(A) & v6_graph_1(A)) ) ) ) ) ) ) ) ).
fof(rc3_msscyc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_graph_1(A)) )  =>  (? [B] :  (m1_graph_1(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v2_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) & v7_graph_1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_msscyc_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_graph_1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v7_graph_1(B, A) & m1_graph_1(B, A)) ) )  =>  ~ (v1_xboole_0(k3_graph_2(A, B))) ) ) ).
fof(cc1_msscyc_1, axiom,  (! [A] :  (l1_graph_1(A) =>  ( ( ~ (v2_struct_0(A))  & v11_struct_0(A))  =>  ( ~ (v2_struct_0(A))  & v2_msscyc_1(A)) ) ) ) ).
fof(cc2_msscyc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v11_struct_0(A) & l1_graph_1(A)) )  =>  (! [B] :  (m1_graph_1(B, A) => v1_xboole_0(B)) ) ) ) ).
fof(cc3_msscyc_1, axiom,  (! [A] :  (l1_graph_1(A) =>  ( ( ~ (v2_struct_0(A))  & v11_struct_0(A))  =>  ( ~ (v2_struct_0(A))  & v3_msscyc_1(A)) ) ) ) ).
fof(cc4_msscyc_1, axiom,  (! [A] :  (l1_graph_1(A) =>  ( ( ~ (v2_struct_0(A))  &  ~ (v3_msscyc_1(A)) )  =>  ( ~ (v2_struct_0(A))  &  ~ (v11_struct_0(A)) ) ) ) ) ).
fof(rc4_msscyc_1, axiom,  (? [A] :  (l1_graph_1(A) &  ( ~ (v2_struct_0(A))  &  (v14_struct_0(A) & v3_msscyc_1(A)) ) ) ) ).
fof(cc5_msscyc_1, axiom,  (! [A] :  (l1_graph_1(A) =>  ( ( ~ (v2_struct_0(A))  & v3_msscyc_1(A))  =>  ( ~ (v2_struct_0(A))  & v2_msscyc_1(A)) ) ) ) ).
fof(rc5_msscyc_1, axiom,  (? [A] :  (l1_graph_1(A) &  ( ~ (v2_struct_0(A))  &  (v14_struct_0(A) &  ~ (v3_msscyc_1(A)) ) ) ) ) ).
fof(rc6_msscyc_1, axiom,  (? [A] :  (l1_graph_1(A) &  ( ~ (v2_struct_0(A))  &  (v14_struct_0(A) & v2_msscyc_1(A)) ) ) ) ).
fof(rc7_msscyc_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v4_msualg_1(B, A) &  (v3_msafree2(B, A) & l3_msualg_1(B, A)) ) )  =>  (? [C] :  (m1_msafree(C, A, B) &  (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v2_finset_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) ) ) ) ) ) ) ) ).
fof(fc2_msscyc_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v2_finset_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  & m1_subset_1(C, u1_struct_0(A))) )  => v1_finset_1(k12_msafree(A, B, C))) ) ).
fof(d1_msscyc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (m1_graph_1(B, A) <=>  (m2_finseq_1(B, u4_struct_0(A)) &  (? [C] :  (m2_finseq_1(C, u1_struct_0(A)) & r1_graph_2(A, C, B)) ) ) ) ) ) ) ) ).
fof(t2_msscyc_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r1_xxreal_0(A, k3_finseq_1(B)) => k4_finseq_6(B, 1, A)=k4_finseq_6(k7_finseq_1(B, C), 1, A)) ) ) ) ) ) ) ).
fof(d2_msscyc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_graph_1(B, A) =>  (v1_msscyc_1(B, A) <=>  (? [C] :  (m2_finseq_1(C, u1_struct_0(A)) &  (r1_graph_2(A, C, B) & k1_funct_1(C, 1)=k1_funct_1(C, k3_finseq_1(C))) ) ) ) ) ) ) ) ).
fof(t3_msscyc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  => r1_tarski(k2_xboole_0(k10_xtuple_0(u1_graph_1(A)), k10_xtuple_0(u2_graph_1(A))), u1_struct_0(A))) ) ).
fof(t4_msscyc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (C=k1_funct_1(u1_graph_1(A), B) & D=k1_funct_1(u2_graph_1(A), B))  => r1_graph_2(A, k4_pre_poly(u1_struct_0(A), C, D), k9_finseq_1(B))) ) ) ) ) ) ) ) ).
fof(t5_msscyc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (r2_tarski(B, u4_struct_0(A)) =>  (v7_graph_1(k9_finseq_1(B), A) & m1_graph_1(k9_finseq_1(B), A)) ) ) ) ) ).
fof(t6_msscyc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (m1_graph_1(B, A) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  ( (v1_msscyc_1(B, A) & r1_graph_2(A, C, B))  => k1_funct_1(C, 1)=k1_funct_1(C, k3_finseq_1(C))) ) ) ) ) ) ) ).
fof(t7_msscyc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (! [B] :  (r2_tarski(B, u4_struct_0(A)) =>  (! [C] :  ( (v7_graph_1(C, A) & m1_graph_1(C, A))  =>  (C=k9_finseq_1(B) => k3_graph_2(A, C)=k10_finseq_1(k1_funct_1(u1_graph_1(A), B), k1_funct_1(u2_graph_1(A), B))) ) ) ) ) ) ) ).
fof(t8_msscyc_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  => r1_xxreal_0(k3_finseq_1(k4_finseq_6(C, A, B)), k3_finseq_1(C))) ) ) ) ) ) ).
fof(t9_msscyc_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  & l1_graph_1(C)) )  =>  (! [D] :  ( (v7_graph_1(D, C) & m1_graph_1(D, C))  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, B) & r1_xxreal_0(B, k3_finseq_1(D))) )  =>  (v7_graph_1(k4_finseq_6(D, A, B), C) & m1_graph_1(k4_finseq_6(D, A, B), C)) ) ) ) ) ) ) ) ) ) ).
fof(t10_msscyc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_graph_1(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v7_graph_1(B, A) & m1_graph_1(B, A)) )  => k3_finseq_1(k3_graph_2(A, B))=k1_nat_1(k3_finseq_1(B), 1)) ) ) ) ).
fof(t11_msscyc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_graph_1(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v7_graph_1(B, A) & m1_graph_1(B, A)) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, k3_finseq_1(B)))  =>  (k1_funct_1(k3_graph_2(A, B), C)=k1_funct_1(u1_graph_1(A), k1_funct_1(B, C)) & k1_funct_1(k3_graph_2(A, B), k1_nat_1(C, 1))=k1_funct_1(u2_graph_1(A), k1_funct_1(B, C))) ) ) ) ) ) ) ) ).
fof(t12_msscyc_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  & v1_finseq_1(C)) ) )  =>  ~ ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, B) &  (r1_xxreal_0(B, k3_finseq_1(C)) & v1_xboole_0(k4_finseq_6(C, A, B))) ) ) ) ) ) ) ) ) ) ).
fof(t13_msscyc_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  & l1_graph_1(C)) )  =>  (! [D] :  ( (v7_graph_1(D, C) & m1_graph_1(D, C))  =>  (! [E] :  ( (v7_graph_1(E, C) & m1_graph_1(E, C))  =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, B) &  (r1_xxreal_0(B, k3_finseq_1(D)) & E=k4_finseq_6(D, A, B)) ) )  => k3_graph_2(C, E)=k5_finseq_6(u1_struct_0(C), k3_graph_2(C, D), A, k1_nat_1(B, 1))) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_msscyc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_graph_1(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v7_graph_1(B, A) & m1_graph_1(B, A)) )  => k1_funct_1(k3_graph_2(A, B), k1_nat_1(k3_finseq_1(B), 1))=k1_funct_1(u2_graph_1(A), k1_funct_1(B, k3_finseq_1(B)))) ) ) ) ).
fof(t15_msscyc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_graph_1(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v7_graph_1(B, A) & m1_graph_1(B, A)) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v7_graph_1(C, A) & m1_graph_1(C, A)) )  =>  (k1_funct_1(k3_graph_2(A, B), k1_nat_1(k3_finseq_1(B), 1))=k1_funct_1(k3_graph_2(A, C), 1) <=>  ( ~ (v1_xboole_0(k7_finseq_1(B, C)))  &  (v7_graph_1(k7_finseq_1(B, C), A) & m1_graph_1(k7_finseq_1(B, C), A)) ) ) ) ) ) ) ) ) ).
fof(t16_msscyc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_graph_1(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v7_graph_1(B, A) & m1_graph_1(B, A)) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v7_graph_1(C, A) & m1_graph_1(C, A)) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v7_graph_1(D, A) & m1_graph_1(D, A)) )  =>  (B=k7_finseq_1(C, D) =>  (k1_funct_1(k3_graph_2(A, B), 1)=k1_funct_1(k3_graph_2(A, C), 1) & k1_funct_1(k3_graph_2(A, B), k1_nat_1(k3_finseq_1(B), 1))=k1_funct_1(k3_graph_2(A, D), k1_nat_1(k3_finseq_1(D), 1))) ) ) ) ) ) ) ) ) ) ).
fof(t17_msscyc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_graph_1(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v7_graph_1(B, A) & m1_graph_1(B, A)) )  =>  (v1_msscyc_1(B, A) => k1_funct_1(k3_graph_2(A, B), 1)=k1_funct_1(k3_graph_2(A, B), k1_nat_1(k3_finseq_1(B), 1))) ) ) ) ) ).
fof(t18_msscyc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_graph_1(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v7_graph_1(B, A) & m1_graph_1(B, A)) )  =>  (v1_msscyc_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (? [D] :  ( (v7_graph_1(D, A) & m1_graph_1(D, A))  &  (k3_finseq_1(D)=C &  ( ~ (v1_xboole_0(k7_finseq_1(D, B)))  &  (v7_graph_1(k7_finseq_1(D, B), A) & m1_graph_1(k7_finseq_1(D, B), A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_msscyc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (v2_msscyc_1(A) <=>  (! [B] :  ( (v7_graph_1(B, A) & m1_graph_1(B, A))  =>  ~ ( ( ~ (v1_xboole_0(B))  & v1_msscyc_1(B, A)) ) ) ) ) ) ) ).
fof(d4_msscyc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_graph_1(A))  =>  (v3_msscyc_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  (v7_ordinal1(C) &  (! [D] :  ( (v7_graph_1(D, A) & m1_graph_1(D, A))  =>  (k1_funct_1(k3_graph_2(A, D), k1_nat_1(k3_finseq_1(D), 1))=B =>  (v1_xboole_0(D) | r1_xxreal_0(k3_finseq_1(D), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_msscyc_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_trees_2(A)) )  =>  (! [B] :  (m1_trees_1(B, k9_xtuple_0(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => m1_trees_1(k17_finseq_1(k4_ordinal1, C, B), k9_xtuple_0(A))) ) ) ) ) ) ).
fof(t20_msscyc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_dtconstr(C, u1_struct_0(k5_msafree(A, B)), k5_trees_3(u1_struct_0(k5_msafree(A, B))), k1_msaterm(A, B)) =>  ~ ( ( ~ (v1_zfmisc_1(C))  &  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  ~ (k1_funct_1(C, k1_xboole_0)=k4_tarski(D, u1_struct_0(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_msscyc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m1_msafree(C, A, B) =>  (! [D] :  (m3_pboole(D, u1_struct_0(A), u3_msualg_1(A, B)) =>  (r2_pboole(u1_struct_0(A), C, D) => m1_msafree(D, A, B)) ) ) ) ) ) ) ) ) ).
fof(t22_msscyc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v2_relat_1(C) & m1_msafree(C, A, B))  =>  (? [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, k11_msafree(A, C)), u3_msualg_1(A, B)) & r2_msualg_3(A, k11_msafree(A, C), B, D)) ) ) ) ) ) ) ) ).
fof(t23_msscyc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v2_relat_1(C) & m1_msafree(C, A, B))  =>  ~ ( ( ~ (v4_msafree2(B, A))  & v4_msafree2(k11_msafree(A, C), A)) ) ) ) ) ) ) ) ).
fof(t24_msscyc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (k3_funct_2(u4_struct_0(A), k3_finseq_2(u1_struct_0(A)), u1_msualg_1(A), C)=k1_xboole_0 => k9_xtuple_0(k5_msualg_1(A, C, B))=k1_tarski(k1_xboole_0)) ) ) ) ) ) ) ).
fof(t25_msscyc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v4_msscyc_1(A) => v1_finset_1(k1_msualg_2(A, B, C))) ) ) ) ) ) ) ).
fof(t27_msscyc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, k11_msafree(A, B)), C)) =>  (! [G] :  (m1_msaterm(G, A, B, k2_msaterm(A, B, E)) =>  (! [H] :  (m1_subset_1(H, k4_ordinal1) =>  (! [I] :  (m1_subset_1(I, k1_funct_1(u3_msualg_1(A, k11_msafree(A, B)), D)) =>  ~ ( (F=k4_trees_4(k4_tarski(E, u1_struct_0(A)), G) &  (r2_tarski(H, k4_finseq_1(G)) &  (I=k1_funct_1(G, H) & r1_xxreal_0(k8_msafree2(A, B, C, F), k8_msafree2(A, B, D, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_msscyc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (v4_msscyc_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v1_finset_1(a_2_0_msscyc_1(A, B))) ) ) ) ) ).
fof(t26_msscyc_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => a_3_0_msscyc_1(A, B, C)=k2_xboole_0(k12_msafree(A, B, C), k1_msualg_2(A, k11_msafree(A, B), C))) ) ) ) ) ) ).
fof(fraenkel_a_2_0_msscyc_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_2_0_msscyc_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, u4_struct_0(B)) &  (A=D & k2_msualg_1(B, D)=C) ) ) ) ) ) ).
fof(fraenkel_a_3_0_msscyc_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) )  & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_0_msscyc_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(B, k11_msafree(B, C)), D)) &  (A=E & k8_msafree2(B, C, D, E)=k5_numbers) ) ) ) ) ) ).
fof(d1_msscyc_2, axiom,  (! [A] :  (l1_msualg_1(A) =>  (! [B] :  (B=k1_msscyc_2(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  (? [D] :  (? [E] :  (C=k4_tarski(D, E) &  (r2_tarski(D, u4_struct_0(A)) &  (r2_tarski(E, u1_struct_0(A)) &  (? [F] :  (v7_ordinal1(F) &  (? [G] :  (m1_subset_1(G, k13_finseq_1(u1_struct_0(A))) &  (k1_funct_1(u1_msualg_1(A), D)=G &  (r2_tarski(F, k4_finseq_1(G)) & k1_funct_1(G, F)=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_msscyc_2, axiom,  (! [A] :  (l1_msualg_1(A) => r1_tarski(k1_msscyc_2(A), k2_zfmisc_1(u4_struct_0(A), u1_struct_0(A)))) ) ).
fof(d2_msscyc_2, axiom,  (! [A] :  (l1_msualg_1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_msscyc_2(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_msscyc_2(A), u1_struct_0(A))))) )  =>  (B=k2_msscyc_2(A) <=>  (! [C] :  (r2_hidden(C, k1_msscyc_2(A)) => k1_funct_1(B, C)=k2_xtuple_0(C)) ) ) ) ) ) ) ).
fof(d3_msscyc_2, axiom,  (! [A] :  (l1_msualg_1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_msscyc_2(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_msscyc_2(A), u1_struct_0(A))))) )  =>  (B=k3_msscyc_2(A) <=>  (! [C] :  (r2_hidden(C, k1_msscyc_2(A)) => k1_funct_1(B, C)=k1_funct_1(u2_msualg_1(A), k1_xtuple_0(C))) ) ) ) ) ) ) ).
fof(d4_msscyc_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  => k4_msscyc_2(A)=g1_graph_1(u1_struct_0(A), k1_msscyc_2(A), k2_msscyc_2(A), k3_msscyc_2(A))) ) ).
fof(t2_msscyc_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(1, D) =>  ( ~ ( ( (? [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, k11_msafree(A, B)), C)) & k8_msafree2(A, B, C, E)=D) )  &  (! [E] :  ( (v7_graph_1(E, k4_msscyc_2(A)) & m1_graph_1(E, k4_msscyc_2(A)))  =>  ~ ( (k3_finseq_1(E)=D & k1_funct_1(k3_graph_2(k4_msscyc_2(A), E), k1_nat_1(k3_finseq_1(E), 1))=C) ) ) ) ) )  &  ~ ( ( (? [E] :  ( (v7_graph_1(E, k4_msscyc_2(A)) & m1_graph_1(E, k4_msscyc_2(A)))  &  (k3_finseq_1(E)=D & k1_funct_1(k3_graph_2(k4_msscyc_2(A), E), k1_nat_1(k3_finseq_1(E), 1))=C) ) )  &  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, k11_msafree(A, B)), C)) =>  ~ (k8_msafree2(A, B, C, E)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_msscyc_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v11_struct_0(A) & l1_msualg_1(A)) )  =>  (v5_msafree2(A) <=> v3_msscyc_1(k4_msscyc_2(A))) ) ) ).
fof(t4_msscyc_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (v5_msafree2(A) => v3_msscyc_1(k4_msscyc_2(A))) ) ) ).
fof(t6_msscyc_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  ( (v4_msscyc_1(A) & v3_msscyc_1(k4_msscyc_2(A)))  => v5_msafree2(A)) ) ) ).
fof(dt_k2_msscyc_2, axiom,  (! [A] :  (l1_msualg_1(A) =>  (v1_funct_1(k2_msscyc_2(A)) &  (v1_funct_2(k2_msscyc_2(A), k1_msscyc_2(A), u1_struct_0(A)) & m1_subset_1(k2_msscyc_2(A), k1_zfmisc_1(k2_zfmisc_1(k1_msscyc_2(A), u1_struct_0(A))))) ) ) ) ).
fof(dt_k3_msscyc_2, axiom,  (! [A] :  (l1_msualg_1(A) =>  (v1_funct_1(k3_msscyc_2(A)) &  (v1_funct_2(k3_msscyc_2(A), k1_msscyc_2(A), u1_struct_0(A)) & m1_subset_1(k3_msscyc_2(A), k1_zfmisc_1(k2_zfmisc_1(k1_msscyc_2(A), u1_struct_0(A))))) ) ) ) ).
fof(dt_k4_msscyc_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  ( ~ (v2_struct_0(k4_msscyc_2(A)))  & l1_graph_1(k4_msscyc_2(A))) ) ) ).
fof(t5_msscyc_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v2_finset_1(B)) ) ) ) )  =>  (v4_msscyc_1(A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => v1_finset_1(a_4_0_msscyc_2(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_msscyc_2, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(B)) & v2_finset_1(C)) ) ) ) )  &  (v7_ordinal1(D) & m1_subset_1(E, u1_struct_0(B))) ) )  =>  (r2_hidden(A, a_4_0_msscyc_2(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(B, k11_msafree(B, C)), E)) &  (A=F & r1_xxreal_0(k8_msafree2(B, C, E, F), D)) ) ) ) ) ) ).
fof(fc1_mssubfam, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_funcop_1(B)) ) ) )  =>  (v1_relat_1(k1_funct_6(B)) &  (v4_relat_1(k1_funct_6(B), A) & v1_funct_1(k1_funct_6(B))) ) ) ) ).
fof(fc2_mssubfam, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_funcop_1(B)) ) ) )  =>  (v1_relat_1(k2_funct_6(B)) &  (v4_relat_1(k2_funct_6(B), A) & v1_funct_1(k2_funct_6(B))) ) ) ) ).
fof(fc3_mssubfam, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_funcop_1(B)) ) ) )  =>  (v1_relat_1(k1_funct_6(B)) &  (v4_relat_1(k1_funct_6(B), A) &  (v1_funct_1(k1_funct_6(B)) & v1_partfun1(k1_funct_6(B), A)) ) ) ) ) ).
fof(fc4_mssubfam, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_funcop_1(B)) ) ) )  =>  (v1_relat_1(k2_funct_6(B)) &  (v4_relat_1(k2_funct_6(B), A) &  (v1_funct_1(k2_funct_6(B)) & v1_partfun1(k2_funct_6(B), A)) ) ) ) ) ).
fof(cc1_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v3_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v2_finset_1(B)) ) ) ) ) ) ) ).
fof(fc5_mssubfam, axiom,  (! [A] :  (v1_relat_1(k1_pboole(A)) &  (v3_relat_1(k1_pboole(A)) &  (v4_relat_1(k1_pboole(A), A) &  (v1_funct_1(k1_pboole(A)) &  (v1_partfun1(k1_pboole(A), A) & v2_finset_1(k1_pboole(A))) ) ) ) ) ) ).
fof(rc1_mssubfam, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (? [C] :  (m3_pboole(C, A, B) &  (v1_relat_1(C) &  (v3_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v2_finset_1(C)) ) ) ) ) ) ) ) ) ).
fof(cc2_mssubfam, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v2_finset_1(B)) ) ) )  =>  (! [C] :  (m3_pboole(C, A, B) => v2_finset_1(C)) ) ) ) ).
fof(fc6_mssubfam, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v2_finset_1(B)) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v2_finset_1(C)) ) ) ) )  =>  (v1_relat_1(k2_pboole(A, B, C)) &  (v4_relat_1(k2_pboole(A, B, C), A) &  (v1_funct_1(k2_pboole(A, B, C)) &  (v1_partfun1(k2_pboole(A, B, C), A) & v2_finset_1(k2_pboole(A, B, C))) ) ) ) ) ) ).
fof(fc7_mssubfam, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v2_finset_1(C)) ) ) ) )  =>  (v1_relat_1(k3_pboole(A, B, C)) &  (v4_relat_1(k3_pboole(A, B, C), A) &  (v1_funct_1(k3_pboole(A, B, C)) &  (v1_partfun1(k3_pboole(A, B, C), A) & v2_finset_1(k3_pboole(A, B, C))) ) ) ) ) ) ).
fof(fc8_mssubfam, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v2_finset_1(C)) ) ) ) )  =>  (v1_relat_1(k3_pboole(A, C, B)) &  (v4_relat_1(k3_pboole(A, C, B), A) &  (v1_funct_1(k3_pboole(A, C, B)) &  (v1_partfun1(k3_pboole(A, C, B), A) & v2_finset_1(k3_pboole(A, C, B))) ) ) ) ) ) ).
fof(fc9_mssubfam, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v2_finset_1(C)) ) ) ) )  =>  (v1_relat_1(k4_pboole(A, C, B)) &  (v4_relat_1(k4_pboole(A, C, B), A) &  (v1_funct_1(k4_pboole(A, C, B)) &  (v1_partfun1(k4_pboole(A, C, B), A) & v2_finset_1(k4_pboole(A, C, B))) ) ) ) ) ) ).
fof(fc10_mssubfam, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_funcop_1(B)) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v2_finset_1(C)) ) ) ) )  =>  (v1_relat_1(k9_pboole(A, C, B)) &  (v4_relat_1(k9_pboole(A, C, B), A) &  (v1_funct_1(k9_pboole(A, C, B)) &  (v1_partfun1(k9_pboole(A, C, B), A) & v2_finset_1(k9_pboole(A, C, B))) ) ) ) ) ) ).
fof(fc11_mssubfam, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v2_finset_1(B)) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v2_finset_1(C)) ) ) ) )  =>  (v1_relat_1(k6_pboole(A, B, C)) &  (v4_relat_1(k6_pboole(A, B, C), A) &  (v1_funct_1(k6_pboole(A, B, C)) &  (v1_partfun1(k6_pboole(A, B, C), A) & v2_finset_1(k6_pboole(A, B, C))) ) ) ) ) ) ).
fof(fc12_mssubfam, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v2_finset_1(B)) ) ) )  =>  (v1_relat_1(k1_mboolean(A, B)) &  (v4_relat_1(k1_mboolean(A, B), A) &  (v1_funct_1(k1_mboolean(A, B)) &  (v1_partfun1(k1_mboolean(A, B), A) & v2_finset_1(k1_mboolean(A, B))) ) ) ) ) ) ).
fof(fc13_mssubfam, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v2_finset_1(B)) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v2_finset_1(C)) ) ) ) )  =>  (v1_relat_1(k7_pboole(A, B, C)) &  (v4_relat_1(k7_pboole(A, B, C), A) &  (v1_funct_1(k7_pboole(A, B, C)) &  (v1_partfun1(k7_pboole(A, B, C), A) & v2_finset_1(k7_pboole(A, B, C))) ) ) ) ) ) ).
fof(fc14_mssubfam, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v2_finset_1(B)) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v2_finset_1(C)) ) ) ) )  =>  (v1_relat_1(k5_pboole(A, B, C)) &  (v4_relat_1(k5_pboole(A, B, C), A) &  (v1_funct_1(k5_pboole(A, B, C)) &  (v1_partfun1(k5_pboole(A, B, C), A) & v2_finset_1(k5_pboole(A, B, C))) ) ) ) ) ) ).
fof(rc2_mssubfam, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (? [C] :  (m3_pboole(C, A, k1_mboolean(A, B)) &  (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) ) ) ) ) ) ).
fof(rc3_mssubfam, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (? [C] :  (m3_pboole(C, A, k1_mboolean(A, B)) &  (v1_relat_1(C) &  (v3_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v2_finset_1(C)) ) ) ) ) ) ) ) ) ).
fof(rc4_mssubfam, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v2_finset_1(B)) ) ) )  =>  (? [C] :  (m3_pboole(C, A, k1_mboolean(A, B)) &  (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v2_finset_1(C)) ) ) ) ) ) ) ) ) ).
fof(rc5_mssubfam, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (? [C] :  (m3_pboole(C, A, k1_mboolean(A, B)) &  (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v1_mssubfam(C, A, B) &  (v2_mssubfam(C, A, B) &  (v3_mssubfam(C, A, B) &  (v4_mssubfam(C, A, B) &  (v5_mssubfam(C, A, B) & v6_mssubfam(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc3_mssubfam, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m3_pboole(C, A, k1_mboolean(A, B)) =>  (v2_mssubfam(C, A, B) => v1_mssubfam(C, A, B)) ) ) ) ) ).
fof(cc4_mssubfam, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m3_pboole(C, A, k1_mboolean(A, B)) =>  (v4_mssubfam(C, A, B) => v3_mssubfam(C, A, B)) ) ) ) ) ).
fof(cc5_mssubfam, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m3_pboole(C, A, k1_mboolean(A, B)) =>  (v4_mssubfam(C, A, B) => v5_mssubfam(C, A, B)) ) ) ) ) ).
fof(cc6_mssubfam, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m3_pboole(C, A, k1_mboolean(A, B)) =>  (v5_mssubfam(C, A, B) => v2_relat_1(C)) ) ) ) ) ).
fof(cc7_mssubfam, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m3_pboole(C, A, k1_mboolean(A, B)) =>  (v2_mssubfam(C, A, B) => v6_mssubfam(C, A, B)) ) ) ) ) ).
fof(cc8_mssubfam, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m3_pboole(C, A, k1_mboolean(A, B)) =>  (v6_mssubfam(C, A, B) => v2_relat_1(C)) ) ) ) ) ).
fof(t1_mssubfam, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  ( ~ (B=k1_xboole_0)  => r1_tarski(k8_setfam_1(A, B), k5_setfam_1(A, B))) ) ) ) ).
fof(t2_mssubfam, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (r2_tarski(B, C) => r1_tarski(k8_setfam_1(A, C), B)) ) ) ) ) ).
fof(t3_mssubfam, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (r2_tarski(k1_xboole_0, B) => k8_setfam_1(A, B)=k1_xboole_0) ) ) ) ).
fof(t4_mssubfam, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  ( (! [D] :  (r2_tarski(D, B) => r1_tarski(C, D)) )  => r1_tarski(C, k8_setfam_1(A, B))) ) ) ) ) ) ).
fof(t5_mssubfam, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))) =>  ( (! [D] :  (r2_tarski(D, C) => r1_tarski(B, D)) )  =>  (C=k1_xboole_0 | r1_tarski(B, k8_setfam_1(A, C))) ) ) ) ) ) ).
fof(t6_mssubfam, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(A))) =>  ( (r2_tarski(B, D) & r1_tarski(B, C))  => r1_tarski(k8_setfam_1(A, D), C)) ) ) ) ) ) ).
fof(t7_mssubfam, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(A))) =>  ( (r2_tarski(B, D) & r1_xboole_0(B, C))  => r1_xboole_0(k8_setfam_1(A, D), C)) ) ) ) ) ) ).
fof(t8_mssubfam, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (D=k4_subset_1(k1_zfmisc_1(A), B, C) => k8_setfam_1(A, D)=k9_subset_1(A, k8_setfam_1(A, B), k8_setfam_1(A, C))) ) ) ) ) ) ) ) ).
fof(t9_mssubfam, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (B=k1_tarski(C) => k8_setfam_1(A, B)=C) ) ) ) ) ) ).
fof(t10_mssubfam, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (B=k2_tarski(C, D) => k8_setfam_1(A, B)=k9_subset_1(A, C, D)) ) ) ) ) ) ) ) ).
fof(t11_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r1_pboole(A, B, C) => m1_pboole(B, A, C)) ) ) ) ) ) ).
fof(t12_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (m1_pboole(B, A, C) => r1_pboole(A, B, C)) ) ) ) ) ) ).
fof(t13_mssubfam, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v1_funcop_1(C)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (r2_hidden(B, A) & D=k1_funct_1(C, B))  => k1_funct_1(k2_funct_6(C), B)=k10_xtuple_0(D)) ) ) ) ) ) ) ).
fof(t14_mssubfam, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v1_funcop_1(C)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (r2_hidden(B, A) & D=k1_funct_1(C, B))  => k1_funct_1(k1_funct_6(C), B)=k9_xtuple_0(D)) ) ) ) ) ) ) ).
fof(t15_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_funcop_1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v1_funcop_1(C)) ) ) )  =>  (v1_relat_1(k8_pboole(B, C)) &  (v4_relat_1(k8_pboole(B, C), A) &  (v1_funct_1(k8_pboole(B, C)) &  (v1_partfun1(k8_pboole(B, C), A) & v1_funcop_1(k8_pboole(B, C))) ) ) ) ) ) ) ) ) ).
fof(t16_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  (m2_pboole(C, A, B, k1_pboole(A)) => r6_pboole(A, C, k1_pboole(A))) ) ) ) ) ).
fof(t17_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) & v1_funcop_1(D)) ) ) )  =>  ( (r1_pzfmisc1(A, B, C) & m2_pboole(D, A, B, C))  =>  (r6_pboole(A, k1_funct_6(D), B) & r2_pboole(A, k2_funct_6(D), C)) ) ) ) ) ) ) ) ) ).
fof(t18_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  ( (r2_pboole(A, B, C) & v2_finset_1(C))  => v2_finset_1(B)) ) ) ) ) ) ).
fof(t19_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  ( (v2_relat_1(C) & v2_finset_1(k6_pboole(A, B, C)))  => v2_finset_1(B)) ) ) ) ) ) ).
fof(t20_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  ( (v2_relat_1(B) & v2_finset_1(k6_pboole(A, B, C)))  => v2_finset_1(C)) ) ) ) ) ) ).
fof(t21_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v2_finset_1(B) <=> v2_finset_1(k1_mboolean(A, B))) ) ) ) ).
fof(t22_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  ( (v2_finset_1(B) &  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r1_pboole(A, C, B) => v2_finset_1(C)) ) ) )  => v2_finset_1(k2_mboolean(A, B))) ) ) ) ).
fof(t23_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v2_finset_1(k2_mboolean(A, B)) =>  (v2_finset_1(B) &  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r1_pboole(A, C, B) => v2_finset_1(C)) ) ) ) ) ) ) ) ).
fof(t24_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_funcop_1(B)) ) ) )  =>  (v2_finset_1(k1_funct_6(B)) => v2_finset_1(k2_funct_6(B))) ) ) ) ).
fof(t25_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v1_funcop_1(C)) ) ) )  =>  ( (r2_pboole(A, B, k2_funct_6(C)) &  (! [D] :  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  ( (r2_tarski(D, A) & E=k1_funct_1(C, D))  => v1_finset_1(k8_relat_1(E, k1_funct_1(B, D)))) ) ) ) )  => v2_finset_1(B)) ) ) ) ) ) ).
fof(t26_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ~ ( (v2_finset_1(B) &  (r2_pboole(A, B, k6_pboole(A, C, D)) &  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) & v1_partfun1(F, A)) ) )  =>  ~ ( (v2_finset_1(E) &  (r2_pboole(A, E, C) &  (v2_finset_1(F) &  (r2_pboole(A, F, D) & r2_pboole(A, B, k6_pboole(A, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ~ ( (v2_finset_1(B) &  (r2_pboole(A, B, k6_pboole(A, C, D)) &  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) )  =>  ~ ( (v2_finset_1(E) &  (r2_pboole(A, E, C) & r2_pboole(A, B, k6_pboole(A, E, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v2_finset_1(B)) ) ) ) )  =>  ~ ( ( (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ~ ( (r1_pboole(A, C, B) &  (r1_pboole(A, D, B) &  ( ~ (r2_pboole(A, C, D))  &  ~ (r2_pboole(A, D, C)) ) ) ) ) ) ) ) )  &  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  ~ ( (r1_pboole(A, C, B) &  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r1_pboole(A, D, B) => r2_pboole(A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v2_finset_1(B)) ) ) ) )  =>  ~ ( ( (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ~ ( (r1_pboole(A, C, B) &  (r1_pboole(A, D, B) &  ( ~ (r2_pboole(A, C, D))  &  ~ (r2_pboole(A, D, C)) ) ) ) ) ) ) ) )  &  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  ~ ( (r1_pboole(A, C, B) &  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r1_pboole(A, D, B) => r2_pboole(A, D, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_funcop_1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  ~ ( (v2_finset_1(C) &  (r2_pboole(A, C, k2_funct_6(B)) &  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ~ ( (r2_pboole(A, D, k1_funct_6(B)) &  (v2_finset_1(D) & r6_pboole(A, k9_pboole(A, D, B), C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v3_relat_1(k1_pboole(A)) &  (v2_finset_1(k1_pboole(A)) & m3_pboole(k1_pboole(A), A, k1_mboolean(A, B))) ) ) ) ) ).
fof(t32_mssubfam, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  (m3_pboole(D, A, k1_mboolean(A, C)) =>  (r2_hidden(B, A) => m1_subset_1(k1_funct_1(D, B), k1_zfmisc_1(k1_zfmisc_1(k1_funct_1(C, B))))) ) ) ) ) ) ) ).
fof(t33_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  (m3_pboole(D, A, k1_mboolean(A, C)) =>  (r1_pboole(A, B, D) => m3_pboole(B, A, C)) ) ) ) ) ) ) ) ).
fof(t34_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m3_pboole(C, A, k1_mboolean(A, B)) =>  (! [D] :  (m3_pboole(D, A, k1_mboolean(A, B)) => m3_pboole(k2_pboole(A, C, D), A, k1_mboolean(A, B))) ) ) ) ) ) ) ).
fof(t35_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m3_pboole(C, A, k1_mboolean(A, B)) =>  (! [D] :  (m3_pboole(D, A, k1_mboolean(A, B)) => m3_pboole(k3_pboole(A, C, D), A, k1_mboolean(A, B))) ) ) ) ) ) ) ).
fof(t36_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  (m3_pboole(D, A, k1_mboolean(A, C)) => m3_pboole(k4_pboole(A, D, B), A, k1_mboolean(A, C))) ) ) ) ) ) ) ).
fof(t37_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m3_pboole(C, A, k1_mboolean(A, B)) =>  (! [D] :  (m3_pboole(D, A, k1_mboolean(A, B)) => m3_pboole(k5_pboole(A, C, D), A, k1_mboolean(A, B))) ) ) ) ) ) ) ).
fof(t38_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r2_pboole(A, B, C) => m3_pboole(k1_pzfmisc1(A, B), A, k1_mboolean(A, C))) ) ) ) ) ) ).
fof(t39_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ( (r2_pboole(A, B, D) & r2_pboole(A, C, D))  => m3_pboole(k2_pzfmisc1(A, B, C), A, k1_mboolean(A, D))) ) ) ) ) ) ) ) ).
fof(t40_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m3_pboole(C, A, k1_mboolean(A, B)) => r2_pboole(A, k2_mboolean(A, C), B)) ) ) ) ) ).
fof(d1_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m3_pboole(C, A, k1_mboolean(A, B)) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (D=k3_mssubfam(A, B, C) <=>  (! [E] :  ~ ( (r2_hidden(E, A) &  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k1_zfmisc_1(k1_funct_1(B, E)))) =>  ~ ( (F=k1_funct_1(C, E) & k1_funct_1(D, E)=k8_setfam_1(k1_funct_1(B, E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m3_pboole(C, A, k1_mboolean(A, B)) =>  (r6_pboole(A, C, k1_pboole(A)) => r6_pboole(A, k4_mssubfam(A, B, C), B)) ) ) ) ) ) ).
fof(t42_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v2_relat_1(C) & m3_pboole(C, A, k1_mboolean(A, B)))  => r2_pboole(A, k4_mssubfam(A, B, C), k2_mboolean(A, C))) ) ) ) ) ).
fof(t43_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  (m3_pboole(D, A, k1_mboolean(A, C)) =>  (r1_pboole(A, B, D) => r2_pboole(A, k4_mssubfam(A, C, D), B)) ) ) ) ) ) ) ) ).
fof(t44_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m3_pboole(C, A, k1_mboolean(A, B)) =>  (r1_pboole(A, k1_pboole(A), C) => r6_pboole(A, k4_mssubfam(A, B, C), k1_pboole(A))) ) ) ) ) ) ).
fof(t45_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v2_relat_1(D) & m3_pboole(D, A, k1_mboolean(A, C)))  =>  ( (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) )  =>  (r1_pboole(A, E, D) => r2_pboole(A, B, E)) ) )  => r2_pboole(A, B, k4_mssubfam(A, C, D))) ) ) ) ) ) ) ) ).
fof(t46_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m3_pboole(C, A, k1_mboolean(A, B)) =>  (! [D] :  (m3_pboole(D, A, k1_mboolean(A, B)) =>  (r2_pboole(A, C, D) => r2_pboole(A, k4_mssubfam(A, B, D), k4_mssubfam(A, B, C))) ) ) ) ) ) ) ) ).
fof(t47_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (! [E] :  (m3_pboole(E, A, k1_mboolean(A, D)) =>  ( (r1_pboole(A, B, E) & r2_pboole(A, B, C))  => r2_pboole(A, k4_mssubfam(A, D, E), C)) ) ) ) ) ) ) ) ) ) ).
fof(t48_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (! [E] :  (m3_pboole(E, A, k1_mboolean(A, D)) =>  ( (r1_pboole(A, B, E) & r6_pboole(A, k3_pboole(A, B, C), k1_pboole(A)))  => r6_pboole(A, k3_pboole(A, k4_mssubfam(A, D, E), C), k1_pboole(A))) ) ) ) ) ) ) ) ) ) ).
fof(t49_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m3_pboole(C, A, k1_mboolean(A, B)) =>  (! [D] :  (m3_pboole(D, A, k1_mboolean(A, B)) =>  (! [E] :  (m3_pboole(E, A, k1_mboolean(A, B)) =>  (r6_pboole(A, E, k2_pboole(A, C, D)) => r6_pboole(A, k4_mssubfam(A, B, E), k3_pboole(A, k4_mssubfam(A, B, C), k4_mssubfam(A, B, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t50_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m3_pboole(C, A, k1_mboolean(A, B)) =>  (! [D] :  (m3_pboole(D, A, B) =>  (r6_pboole(A, C, k1_pzfmisc1(A, D)) => r6_pboole(A, k4_mssubfam(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t51_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m3_pboole(C, A, k1_mboolean(A, B)) =>  (! [D] :  (m3_pboole(D, A, B) =>  (! [E] :  (m3_pboole(E, A, B) =>  (r6_pboole(A, C, k2_pzfmisc1(A, D, E)) => r6_pboole(A, k4_mssubfam(A, B, C), k3_pboole(A, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t52_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  (m3_pboole(D, A, k1_mboolean(A, C)) =>  (r1_pboole(A, B, k4_mssubfam(A, C, D)) =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) )  =>  (r1_pboole(A, E, D) => r1_pboole(A, B, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v2_relat_1(D) & m3_pboole(D, A, k1_mboolean(A, C)))  =>  ( (r1_pboole(A, B, C) &  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) )  =>  (r1_pboole(A, E, D) => r1_pboole(A, B, E)) ) ) )  => r1_pboole(A, B, k4_mssubfam(A, C, D))) ) ) ) ) ) ) ) ).
fof(d2_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m3_pboole(C, A, k1_mboolean(A, B)) =>  (v1_mssubfam(C, A, B) <=>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) )  =>  ( (r1_pboole(A, D, C) & r1_pboole(A, E, C))  => r1_pboole(A, k2_pboole(A, D, E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m3_pboole(C, A, k1_mboolean(A, B)) =>  (v2_mssubfam(C, A, B) <=>  (! [D] :  (m3_pboole(D, A, k1_mboolean(A, B)) =>  (r2_pboole(A, D, C) => r1_pboole(A, k2_mboolean(A, D), C)) ) ) ) ) ) ) ) ) ).
fof(d4_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m3_pboole(C, A, k1_mboolean(A, B)) =>  (v3_mssubfam(C, A, B) <=>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) )  =>  ( (r1_pboole(A, D, C) & r1_pboole(A, E, C))  => r1_pboole(A, k3_pboole(A, D, E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m3_pboole(C, A, k1_mboolean(A, B)) =>  (v4_mssubfam(C, A, B) <=>  (! [D] :  (m3_pboole(D, A, k1_mboolean(A, B)) =>  (r2_pboole(A, D, C) => r1_pboole(A, k4_mssubfam(A, B, D), C)) ) ) ) ) ) ) ) ) ).
fof(d6_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m3_pboole(C, A, k1_mboolean(A, B)) =>  (v5_mssubfam(C, A, B) <=> r1_pboole(A, B, C)) ) ) ) ) ) ).
fof(d7_mssubfam, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m3_pboole(C, A, k1_mboolean(A, B)) =>  (v6_mssubfam(C, A, B) <=> r1_pboole(A, k1_pboole(A), C)) ) ) ) ) ) ).
fof(s1_mssubfam, axiom,  ( (! [A] :  (r2_hidden(A, f1_s1_mssubfam) =>  (! [B] :  ~ ( (r2_hidden(B, k1_funct_1(f2_s1_mssubfam, A)) &  (! [C] :  ~ ( (r2_hidden(C, k1_funct_1(f3_s1_mssubfam, A)) & p1_s1_mssubfam(C, B, A)) ) ) ) ) ) ) )  =>  (? [A] :  (m2_pboole(A, f1_s1_mssubfam, f2_s1_mssubfam, f3_s1_mssubfam) &  (! [B] :  ~ ( (r2_hidden(B, f1_s1_mssubfam) &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_funct_1(f2_s1_mssubfam, B), k1_funct_1(f3_s1_mssubfam, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(f2_s1_mssubfam, B), k1_funct_1(f3_s1_mssubfam, B))))) )  =>  ~ ( (C=k1_funct_1(A, B) &  (! [D] :  (r2_hidden(D, k1_funct_1(f2_s1_mssubfam, B)) => p1_s1_mssubfam(k1_funct_1(C, D), D, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_f2_s1_mssubfam, axiom,  (v1_relat_1(f2_s1_mssubfam) &  (v4_relat_1(f2_s1_mssubfam, f1_s1_mssubfam) &  (v1_funct_1(f2_s1_mssubfam) & v1_partfun1(f2_s1_mssubfam, f1_s1_mssubfam)) ) ) ).
fof(dt_f3_s1_mssubfam, axiom,  (v1_relat_1(f3_s1_mssubfam) &  (v4_relat_1(f3_s1_mssubfam, f1_s1_mssubfam) &  (v1_funct_1(f3_s1_mssubfam) & v1_partfun1(f3_s1_mssubfam, f1_s1_mssubfam)) ) ) ).
fof(dt_k1_mssubfam, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => m3_pboole(k1_mssubfam(A, B), A, k1_mboolean(A, B))) ) ).
fof(redefinition_k1_mssubfam, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => k1_mssubfam(A, B)=k1_mboolean(A, B)) ) ).
fof(dt_k2_mssubfam, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (m3_pboole(C, A, k1_mboolean(A, B)) & m1_subset_1(D, A)) ) )  => m1_subset_1(k2_mssubfam(A, B, C, D), k1_zfmisc_1(k1_zfmisc_1(k1_funct_1(B, D))))) ) ).
fof(redefinition_k2_mssubfam, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (m3_pboole(C, A, k1_mboolean(A, B)) & m1_subset_1(D, A)) ) )  => k2_mssubfam(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(dt_k3_mssubfam, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  & m3_pboole(C, A, k1_mboolean(A, B)))  =>  (v1_relat_1(k3_mssubfam(A, B, C)) &  (v4_relat_1(k3_mssubfam(A, B, C), A) &  (v1_funct_1(k3_mssubfam(A, B, C)) & v1_partfun1(k3_mssubfam(A, B, C), A)) ) ) ) ) ).
fof(dt_k4_mssubfam, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  & m3_pboole(C, A, k1_mboolean(A, B)))  => m3_pboole(k4_mssubfam(A, B, C), A, B)) ) ).
fof(redefinition_k4_mssubfam, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  & m3_pboole(C, A, k1_mboolean(A, B)))  => k4_mssubfam(A, B, C)=k3_mssubfam(A, B, C)) ) ).
fof(dt_k5_mssubfam, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v1_mssubfam(k5_mssubfam(A, B), A, B) &  (v2_mssubfam(k5_mssubfam(A, B), A, B) &  (v3_mssubfam(k5_mssubfam(A, B), A, B) &  (v4_mssubfam(k5_mssubfam(A, B), A, B) &  (v5_mssubfam(k5_mssubfam(A, B), A, B) &  (v6_mssubfam(k5_mssubfam(A, B), A, B) & m3_pboole(k5_mssubfam(A, B), A, k1_mboolean(A, B))) ) ) ) ) ) ) ) ).
fof(redefinition_k5_mssubfam, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => k5_mssubfam(A, B)=k1_mboolean(A, B)) ) ).
fof(fc1_mssublat, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v2_unialg_2(A) & l1_unialg_1(A)) ) ) ) )  =>  (v7_struct_0(k6_msualg_1(A)) &  ( ~ (v11_struct_0(k6_msualg_1(A)))  &  (v1_msualg_1(k6_msualg_1(A)) &  (v5_msualg_1(k6_msualg_1(A)) & v2_msualg_2(k6_msualg_1(A))) ) ) ) ) ) ).
fof(fc2_mssublat, axiom,  (! [A] :  ( (v3_unialg_1(A) & l1_unialg_1(A))  =>  (v1_unialg_1(g1_unialg_1(u1_struct_0(A), u1_unialg_1(A))) & v3_unialg_1(g1_unialg_1(u1_struct_0(A), u1_unialg_1(A)))) ) ) ).
fof(fc3_mssublat, axiom,  (! [A] :  ( (v2_unialg_1(A) & l1_unialg_1(A))  =>  (v1_unialg_1(g1_unialg_1(u1_struct_0(A), u1_unialg_1(A))) & v2_unialg_1(g1_unialg_1(u1_struct_0(A), u1_unialg_1(A)))) ) ) ).
fof(fc4_mssublat, axiom,  (! [A] :  ( (v4_unialg_1(A) & l1_unialg_1(A))  =>  (v1_unialg_1(g1_unialg_1(u1_struct_0(A), u1_unialg_1(A))) & v4_unialg_1(g1_unialg_1(u1_struct_0(A), u1_unialg_1(A)))) ) ) ).
fof(fc5_mssublat, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v2_unialg_2(A) & l1_unialg_1(A)) ) ) ) )  =>  (v1_unialg_1(g1_unialg_1(u1_struct_0(A), u1_unialg_1(A))) & v2_unialg_2(g1_unialg_1(u1_struct_0(A), u1_unialg_1(A)))) ) ) ).
fof(t1_mssublat, axiom,  (! [A] : k8_finseq_2(k1_tarski(A), k3_finseq_2(k1_tarski(A)), k7_finseq_2(A), k5_numbers)=k1_xboole_0) ).
fof(t2_mssublat, axiom,  (! [A] : k8_finseq_2(k1_tarski(A), k3_finseq_2(k1_tarski(A)), k7_finseq_2(A), 1)=k9_finseq_1(A)) ).
fof(t3_mssublat, axiom,  (! [A] : k8_finseq_2(k1_tarski(A), k3_finseq_2(k1_tarski(A)), k7_finseq_2(A), 2)=k10_finseq_1(A, A)) ).
fof(t4_mssublat, axiom,  (! [A] : k8_finseq_2(k1_tarski(A), k3_finseq_2(k1_tarski(A)), k7_finseq_2(A), 3)=k11_finseq_1(A, A, A)) ).
fof(t5_mssublat, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k1_tarski(k5_numbers)) =>  (B=k5_finseq_2(k4_ordinal1, A, k5_numbers) <=> k3_finseq_1(B)=A) ) ) ) ) ).
fof(t6_mssublat, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (B=k8_finseq_2(k1_tarski(k5_numbers), k3_finseq_2(k1_tarski(k5_numbers)), k7_finseq_2(k5_numbers), A) => k3_finseq_1(B)=A) ) ) ) ) ).
fof(t7_mssublat, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (m1_unialg_2(A, B) => k6_msualg_1(A)=k6_msualg_1(B)) ) ) ) ) ).
fof(t8_mssublat, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (m1_unialg_2(A, B) =>  (! [C] :  (m3_pboole(C, u1_struct_0(k6_msualg_1(B)), u3_msualg_1(k6_msualg_1(B), k9_msualg_1(B))) =>  (C=u3_msualg_1(k6_msualg_1(A), k9_msualg_1(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(k6_msualg_1(B))) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(k6_msualg_1(A))) =>  (E=D => k5_msualg_1(k6_msualg_1(A), E, k9_msualg_1(A))=k2_partfun1(k3_msualg_1(k6_msualg_1(B), D, k9_msualg_1(B)), k4_msualg_1(k6_msualg_1(B), D, k9_msualg_1(B)), k5_msualg_1(k6_msualg_1(B), D, k9_msualg_1(B)), k3_msualg_1(k6_msualg_1(A), E, k9_msualg_1(A)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_mssublat, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (m1_unialg_2(A, B) => m3_pboole(u3_msualg_1(k6_msualg_1(A), k9_msualg_1(A)), u1_struct_0(k6_msualg_1(B)), u3_msualg_1(k6_msualg_1(B), k9_msualg_1(B)))) ) ) ) ) ).
fof(t10_mssublat, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (m1_unialg_2(A, B) =>  (! [C] :  (m3_pboole(C, u1_struct_0(k6_msualg_1(B)), u3_msualg_1(k6_msualg_1(B), k9_msualg_1(B))) =>  (C=u3_msualg_1(k6_msualg_1(A), k9_msualg_1(A)) => v3_msualg_2(C, k6_msualg_1(B), k9_msualg_1(B))) ) ) ) ) ) ) ) ).
fof(t11_mssublat, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (m1_unialg_2(A, B) =>  (! [C] :  (m3_pboole(C, u1_struct_0(k6_msualg_1(B)), u3_msualg_1(k6_msualg_1(B), k9_msualg_1(B))) =>  (C=u3_msualg_1(k6_msualg_1(A), k9_msualg_1(A)) => u4_msualg_1(k6_msualg_1(A), k9_msualg_1(A))=k4_msualg_2(k6_msualg_1(B), k9_msualg_1(B), C)) ) ) ) ) ) ) ) ).
fof(t12_mssublat, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (m1_unialg_2(A, B) => m1_msualg_2(k9_msualg_1(A), k6_msualg_1(B), k9_msualg_1(B))) ) ) ) ) ).
fof(t13_mssublat, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (m1_msualg_2(k9_msualg_1(A), k6_msualg_1(B), k9_msualg_1(B)) => m1_subset_1(u1_struct_0(A), k1_zfmisc_1(u1_struct_0(B)))) ) ) ) ) ).
fof(t14_mssublat, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (m1_msualg_2(k9_msualg_1(A), k6_msualg_1(B), k9_msualg_1(B)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (C=u1_struct_0(A) => v1_unialg_2(C, B)) ) ) ) ) ) ) ) ).
fof(t15_mssublat, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (m1_msualg_2(k9_msualg_1(A), k6_msualg_1(B), k9_msualg_1(B)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (C=u1_struct_0(A) => u1_unialg_1(A)=k3_unialg_2(B, C)) ) ) ) ) ) ) ) ).
fof(t16_mssublat, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (m1_msualg_2(k9_msualg_1(A), k6_msualg_1(B), k9_msualg_1(B)) => m1_unialg_2(A, B)) ) ) ) ) ).
fof(t17_mssublat, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v13_struct_0(A, 1) &  (v5_msualg_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & m1_msualg_2(C, A, B))  => m1_subset_1(u1_struct_0(k12_msualg_1(A, C)), k1_zfmisc_1(u1_struct_0(k12_msualg_1(A, B))))) ) ) ) ) ) ).
fof(t18_mssublat, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v13_struct_0(A, 1) &  (v5_msualg_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & m1_msualg_2(C, A, B))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_msualg_1(A, B)))))  =>  (D=u1_struct_0(k12_msualg_1(A, C)) => v1_unialg_2(D, k12_msualg_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(t19_mssublat, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v13_struct_0(A, 1) &  (v5_msualg_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & m1_msualg_2(C, A, B))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_msualg_1(A, B)))))  =>  (D=u1_struct_0(k12_msualg_1(A, C)) => u1_unialg_1(k12_msualg_1(A, C))=k3_unialg_2(k12_msualg_1(A, B), D)) ) ) ) ) ) ) ) ) ).
fof(t20_mssublat, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v13_struct_0(A, 1) &  (v5_msualg_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & m1_msualg_2(C, A, B))  => m1_unialg_2(k12_msualg_1(A, C), k12_msualg_1(A, B))) ) ) ) ) ) ).
fof(t21_mssublat, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (l3_msualg_1(C, A) =>  (m1_msualg_2(B, A, C) <=> m1_msualg_2(B, A, g3_msualg_1(A, u3_msualg_1(A, C), u4_msualg_1(A, C)))) ) ) ) ) ) ) ).
fof(t22_mssublat, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (k1_unialg_1(A)=k1_unialg_1(B) <=> k6_msualg_1(A)=k6_msualg_1(B)) ) ) ) ) ).
fof(t23_mssublat, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v13_struct_0(A, 1) &  (v5_msualg_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (u1_struct_0(A)=k1_tarski(k5_numbers) => k6_msualg_1(k12_msualg_1(A, B))=g1_msualg_1(u1_struct_0(A), u4_struct_0(A), u1_msualg_1(A), u2_msualg_1(A))) ) ) ) ) ).
fof(t24_mssublat, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v13_struct_0(A, 1) &  (v5_msualg_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (k12_msualg_1(A, B)=k12_msualg_1(A, C) => g3_msualg_1(A, u3_msualg_1(A, B), u4_msualg_1(A, B))=g3_msualg_1(A, u3_msualg_1(A, C), u4_msualg_1(A, C))) ) ) ) ) ) ) ).
fof(t25_mssublat, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v13_struct_0(A, 1) &  (v5_msualg_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (u1_struct_0(A)=k1_tarski(k5_numbers) => u3_msualg_1(A, B)=u3_msualg_1(k6_msualg_1(k12_msualg_1(A, B)), k9_msualg_1(k12_msualg_1(A, B)))) ) ) ) ) ).
fof(t26_mssublat, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v13_struct_0(A, 1) &  (v5_msualg_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (u1_struct_0(A)=k1_tarski(k5_numbers) => k9_msualg_1(k12_msualg_1(A, B))=g3_msualg_1(A, u3_msualg_1(A, B), u4_msualg_1(A, B))) ) ) ) ) ).
fof(t27_mssublat, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( (v3_msualg_1(B, k6_msualg_1(A)) &  (v4_msualg_1(B, k6_msualg_1(A)) & m1_msualg_2(B, k6_msualg_1(A), k9_msualg_1(A))) )  =>  (u1_struct_0(k6_msualg_1(A))=k1_tarski(k5_numbers) => m1_unialg_2(k12_msualg_1(k6_msualg_1(A), B), A)) ) ) ) ) ).
fof(t28_mssublat, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( (v1_unialg_1(B) & m1_unialg_2(B, A))  =>  (! [C] :  ( (v1_unialg_1(C) & m1_unialg_2(C, A))  =>  (! [D] :  ( (v3_msualg_1(D, k6_msualg_1(A)) &  (v4_msualg_1(D, k6_msualg_1(A)) & m1_msualg_2(D, k6_msualg_1(A), k9_msualg_1(A))) )  =>  (! [E] :  ( (v3_msualg_1(E, k6_msualg_1(A)) &  (v4_msualg_1(E, k6_msualg_1(A)) & m1_msualg_2(E, k6_msualg_1(A), k9_msualg_1(A))) )  =>  ( (D=k9_msualg_1(B) & E=k9_msualg_1(C))  => k2_pboole(u1_struct_0(k6_msualg_1(A)), u3_msualg_1(k6_msualg_1(A), D), u3_msualg_1(k6_msualg_1(A), E))=k17_funcop_1(k5_numbers, k2_xboole_0(u1_struct_0(B), u1_struct_0(C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_mssublat, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( (v1_unialg_1(B) &  (v4_unialg_1(B) & m1_unialg_2(B, A)) )  =>  (! [C] :  ( (v1_unialg_1(C) &  (v4_unialg_1(C) & m1_unialg_2(C, A)) )  =>  (! [D] :  ( (v3_msualg_1(D, k6_msualg_1(A)) &  (v4_msualg_1(D, k6_msualg_1(A)) & m1_msualg_2(D, k6_msualg_1(A), k9_msualg_1(A))) )  =>  (! [E] :  ( (v3_msualg_1(E, k6_msualg_1(A)) &  (v4_msualg_1(E, k6_msualg_1(A)) & m1_msualg_2(E, k6_msualg_1(A), k9_msualg_1(A))) )  =>  ( (D=k9_msualg_1(B) & E=k9_msualg_1(C))  => k3_pboole(u1_struct_0(k6_msualg_1(A)), u3_msualg_1(k6_msualg_1(A), D), u3_msualg_1(k6_msualg_1(A), E))=k17_funcop_1(k5_numbers, k3_xboole_0(u1_struct_0(B), u1_struct_0(C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_mssublat, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_unialg_1(A) &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_unialg_1(B) &  (v4_unialg_1(B) & m1_unialg_2(B, A)) )  =>  (! [C] :  ( (v1_unialg_1(C) &  (v4_unialg_1(C) & m1_unialg_2(C, A)) )  =>  (! [D] :  ( (v3_msualg_1(D, k6_msualg_1(A)) &  (v4_msualg_1(D, k6_msualg_1(A)) & m1_msualg_2(D, k6_msualg_1(A), k9_msualg_1(A))) )  =>  (! [E] :  ( (v3_msualg_1(E, k6_msualg_1(A)) &  (v4_msualg_1(E, k6_msualg_1(A)) & m1_msualg_2(E, k6_msualg_1(A), k9_msualg_1(A))) )  =>  ( (D=k9_msualg_1(B) & E=k9_msualg_1(C))  => k9_msualg_1(k8_unialg_2(A, B, C))=k13_msualg_2(k6_msualg_1(A), k9_msualg_1(A), D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_mssublat, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v2_unialg_2(A) & l1_unialg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_unialg_1(B) &  (v4_unialg_1(B) & m1_unialg_2(B, A)) )  =>  (! [C] :  ( (v1_unialg_1(C) &  (v4_unialg_1(C) & m1_unialg_2(C, A)) )  =>  (! [D] :  ( (v3_msualg_1(D, k6_msualg_1(A)) &  (v4_msualg_1(D, k6_msualg_1(A)) & m1_msualg_2(D, k6_msualg_1(A), k9_msualg_1(A))) )  =>  (! [E] :  ( (v3_msualg_1(E, k6_msualg_1(A)) &  (v4_msualg_1(E, k6_msualg_1(A)) & m1_msualg_2(E, k6_msualg_1(A), k9_msualg_1(A))) )  =>  ( (D=k9_msualg_1(B) & E=k9_msualg_1(C))  => k9_msualg_1(k5_unialg_2(A, B, C))=k11_msualg_2(k6_msualg_1(A), k9_msualg_1(A), D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_mssublat, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) &  (v2_unialg_2(A) & l1_unialg_1(A)) ) ) ) )  => r1_filter_1(k12_unialg_2(g1_unialg_1(u1_struct_0(A), u1_unialg_1(A))), k17_msualg_2(k6_msualg_1(g1_unialg_1(u1_struct_0(A), u1_unialg_1(A))), k9_msualg_1(g1_unialg_1(u1_struct_0(A), u1_unialg_1(A)))))) ) ).
fof(rc1_msualg_1, axiom,  (? [A] :  (l1_msualg_1(A) & v1_msualg_1(A)) ) ).
fof(rc2_msualg_1, axiom,  (? [A] :  (l1_msualg_1(A) &  ( ~ (v2_struct_0(A))  &  (v11_struct_0(A) & v1_msualg_1(A)) ) ) ) ).
fof(rc3_msualg_1, axiom,  (? [A] :  (l1_msualg_1(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & v1_msualg_1(A)) ) ) ) ).
fof(rc4_msualg_1, axiom,  (! [A] :  (l1_struct_0(A) =>  (? [B] :  (l2_msualg_1(B, A) & v2_msualg_1(B, A)) ) ) ) ).
fof(rc5_msualg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (? [B] :  (l3_msualg_1(B, A) & v3_msualg_1(B, A)) ) ) ) ).
fof(rc6_msualg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (? [B] :  (l3_msualg_1(B, A) &  (v3_msualg_1(B, A) & v4_msualg_1(B, A)) ) ) ) ) ).
fof(rc7_msualg_1, axiom,  (! [A] :  (l1_struct_0(A) =>  (? [B] :  (l2_msualg_1(B, A) &  (v2_msualg_1(B, A) & v4_msualg_1(B, A)) ) ) ) ) ).
fof(fc1_msualg_1, axiom,  (! [A, B] :  ( (l1_struct_0(A) &  (v4_msualg_1(B, A) & l2_msualg_1(B, A)) )  =>  (v1_relat_1(u3_msualg_1(A, B)) &  (v2_relat_1(u3_msualg_1(A, B)) &  (v4_relat_1(u3_msualg_1(A, B), u1_struct_0(A)) &  (v1_funct_1(u3_msualg_1(A, B)) & v1_partfun1(u3_msualg_1(A, B), u1_struct_0(A))) ) ) ) ) ) ).
fof(cc1_msualg_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k10_xtuple_0(u3_msualg_1(A, B))) =>  ~ (v1_xboole_0(C)) ) ) ) ) ).
fof(cc2_msualg_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k10_xtuple_0(k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, B)))) =>  ~ (v1_xboole_0(C)) ) ) ) ) ).
fof(rc8_msualg_1, axiom,  (? [A] :  (l1_msualg_1(A) &  ( ~ (v11_struct_0(A))  &  (v13_struct_0(A, 1) &  (v1_msualg_1(A) & v5_msualg_1(A)) ) ) ) ) ).
fof(fc2_msualg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (v7_struct_0(k6_msualg_1(A)) &  ( ~ (v11_struct_0(k6_msualg_1(A)))  &  (v13_struct_0(k6_msualg_1(A), 1) &  (v1_msualg_1(k6_msualg_1(A)) & v5_msualg_1(k6_msualg_1(A))) ) ) ) ) ) ).
fof(fc3_msualg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (v3_msualg_1(k9_msualg_1(A), k6_msualg_1(A)) & v4_msualg_1(k9_msualg_1(A), k6_msualg_1(A))) ) ) ).
fof(fc4_msualg_1, axiom,  (! [A, B] :  ( ( (v13_struct_0(A, 1) & l1_msualg_1(A))  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  ~ (v1_xboole_0(k10_msualg_1(A, B))) ) ) ).
fof(d1_msualg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) => k1_msualg_1(A, B)=k3_funct_2(u4_struct_0(A), k3_finseq_2(u1_struct_0(A)), u1_msualg_1(A), B)) ) ) ) ).
fof(d2_msualg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) => k2_msualg_1(A, B)=k3_funct_2(u4_struct_0(A), u1_struct_0(A), u2_msualg_1(A), B)) ) ) ) ).
fof(d3_msualg_1, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l2_msualg_1(B, A) =>  (v4_msualg_1(B, A) <=> v2_relat_1(u3_msualg_1(A, B))) ) ) ) ) ).
fof(d4_msualg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (l3_msualg_1(C, A) => k3_msualg_1(A, B, C)=k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, C))), B)) ) ) ) ) ) ).
fof(d5_msualg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (l3_msualg_1(C, A) => k4_msualg_1(A, B, C)=k1_funct_1(k3_relat_1(u2_msualg_1(A), u3_msualg_1(A, C)), B)) ) ) ) ) ) ).
fof(d6_msualg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (l3_msualg_1(C, A) => k5_msualg_1(A, B, C)=k1_funct_1(u4_msualg_1(A, C), B)) ) ) ) ) ) ).
fof(t1_msualg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  ~ (v1_xboole_0(k5_msualg_1(A, B, C))) ) ) ) ) ) ) ).
fof(t2_msualg_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  (v1_funct_1(k1_partfun1(A, B, B, C, D, E)) &  (v1_funct_2(k1_partfun1(A, B, B, C, D, E), k9_xtuple_0(D), C) & m1_subset_1(k1_partfun1(A, B, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k9_xtuple_0(D), C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_msualg_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v2_margrel1(B) &  (v3_margrel1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), A)))) ) ) )  => k9_xtuple_0(B)=k9_funct_2(k2_finseq_1(k18_margrel1(B)), A)) ) ) ) ).
fof(t4_msualg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  ~ (v1_xboole_0(k1_unialg_1(A))) ) ) ).
fof(d7_msualg_1, axiom,  (! [A] :  (l1_msualg_1(A) =>  (v5_msualg_1(A) <=>  (? [B] :  (v7_ordinal1(B) & u4_struct_0(A)=k2_finseq_1(B)) ) ) ) ) ).
fof(t5_msualg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (v7_struct_0(A) =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m1_subset_1(C, k10_xtuple_0(u3_msualg_1(A, B))) =>  (! [D] :  (m1_subset_1(D, k10_xtuple_0(u3_msualg_1(A, B))) => C=D) ) ) ) ) ) ) ) ) ).
fof(d8_msualg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( (v7_struct_0(B) &  ( ~ (v11_struct_0(B))  &  (v1_msualg_1(B) &  (v5_msualg_1(B) & l1_msualg_1(B)) ) ) )  =>  (B=k6_msualg_1(A) <=>  (u1_struct_0(B)=k1_tarski(k5_numbers) &  (u4_struct_0(B)=k4_finseq_1(k1_unialg_1(A)) &  (u1_msualg_1(B)=k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k3_finseq_2(k1_tarski(k5_numbers)), k1_unialg_1(A), k7_finseq_2(k5_numbers)) & u2_msualg_1(B)=k8_funcop_1(k4_ordinal1, k4_finseq_1(k1_unialg_1(A)), k5_numbers)) ) ) ) ) ) ) ) ).
fof(d9_msualg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  => k7_msualg_1(A)=k17_funcop_1(k5_numbers, u1_struct_0(A))) ) ).
fof(d10_msualg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  => k8_msualg_1(A)=u1_unialg_1(A)) ) ).
fof(d11_msualg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  => k9_msualg_1(A)=g3_msualg_1(k6_msualg_1(A), k7_msualg_1(A), k8_msualg_1(A))) ) ).
fof(d12_msualg_1, axiom,  (! [A] :  ( (v13_struct_0(A, 1) & l1_msualg_1(A))  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (C=k10_msualg_1(A, B) <=> m1_subset_1(C, k10_xtuple_0(u3_msualg_1(A, B)))) ) ) ) ) ) ).
fof(t6_msualg_1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v13_struct_0(A, 1) &  (v5_msualg_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  => k3_msualg_1(A, B, C)=k4_finseq_2(k3_finseq_1(k1_msualg_1(A, B)), k10_msualg_1(A, C))) ) ) ) ) ) ).
fof(t7_msualg_1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v13_struct_0(A, 1) &  (v5_msualg_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  => r1_tarski(k3_msualg_1(A, B, C), k3_finseq_2(k10_msualg_1(A, C)))) ) ) ) ) ) ).
fof(t8_msualg_1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v13_struct_0(A, 1) &  (v5_msualg_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  => m2_finseq_1(u4_msualg_1(A, B), k4_partfun1(k3_finseq_2(k10_msualg_1(A, B)), k10_msualg_1(A, B)))) ) ) ) ).
fof(d13_msualg_1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v13_struct_0(A, 1) &  (v5_msualg_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  => k11_msualg_1(A, B)=u4_msualg_1(A, B)) ) ) ) ).
fof(d14_msualg_1, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  &  (v13_struct_0(A, 1) &  (v5_msualg_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  => k12_msualg_1(A, B)=g1_unialg_1(k10_msualg_1(A, B), k11_msualg_1(A, B))) ) ) ) ).
fof(t9_msualg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_unialg_1(A) &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) ) )  => A=k12_msualg_1(k6_msualg_1(A), k9_msualg_1(A))) ) ).
fof(t10_msualg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_1(k1_unialg_1(A)), k3_finseq_2(k1_tarski(k5_numbers))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(k1_unialg_1(A)), k3_finseq_2(k1_tarski(k5_numbers)))))) )  =>  (! [C] :  (m1_subset_1(C, k1_tarski(k5_numbers)) =>  (B=k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k3_finseq_2(k1_tarski(k5_numbers)), k1_unialg_1(A), k7_finseq_2(k5_numbers)) => k6_msualg_1(A)=g1_msualg_1(k1_tarski(k5_numbers), k4_finseq_1(k1_unialg_1(A)), B, k8_funcop_1(k1_tarski(k5_numbers), k4_finseq_1(k1_unialg_1(A)), C))) ) ) ) ) ) ) ).
fof(abstractness_v1_msualg_1, axiom,  (! [A] :  (l1_msualg_1(A) =>  (v1_msualg_1(A) => A=g1_msualg_1(u1_struct_0(A), u4_struct_0(A), u1_msualg_1(A), u2_msualg_1(A))) ) ) ).
fof(dt_l1_msualg_1, axiom,  (! [A] :  (l1_msualg_1(A) => l5_struct_0(A)) ) ).
fof(existence_l1_msualg_1, axiom,  (? [A] : l1_msualg_1(A)) ).
fof(dt_g1_msualg_1, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, B, k3_finseq_2(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k3_finseq_2(A))))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) )  =>  (v1_msualg_1(g1_msualg_1(A, B, C, D)) & l1_msualg_1(g1_msualg_1(A, B, C, D))) ) ) ).
fof(free_g1_msualg_1, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, B, k3_finseq_2(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k3_finseq_2(A))))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) )  =>  (! [E, F, G, H] :  (g1_msualg_1(A, B, C, D)=g1_msualg_1(E, F, G, H) =>  (A=E &  (B=F &  (C=G & D=H) ) ) ) ) ) ) ).
fof(dt_u1_msualg_1, axiom,  (! [A] :  (l1_msualg_1(A) =>  (v1_funct_1(u1_msualg_1(A)) &  (v1_funct_2(u1_msualg_1(A), u4_struct_0(A), k3_finseq_2(u1_struct_0(A))) & m1_subset_1(u1_msualg_1(A), k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), k3_finseq_2(u1_struct_0(A)))))) ) ) ) ).
fof(dt_u2_msualg_1, axiom,  (! [A] :  (l1_msualg_1(A) =>  (v1_funct_1(u2_msualg_1(A)) &  (v1_funct_2(u2_msualg_1(A), u4_struct_0(A), u1_struct_0(A)) & m1_subset_1(u2_msualg_1(A), k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), u1_struct_0(A))))) ) ) ) ).
fof(dt_k1_msualg_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  & m1_subset_1(B, u4_struct_0(A)))  => m2_finseq_2(k1_msualg_1(A, B), u1_struct_0(A), k3_finseq_2(u1_struct_0(A)))) ) ).
fof(dt_k2_msualg_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  & m1_subset_1(B, u4_struct_0(A)))  => m1_subset_1(k2_msualg_1(A, B), u1_struct_0(A))) ) ).
fof(abstractness_v2_msualg_1, axiom,  (! [A, B] :  ( (l1_struct_0(A) & l2_msualg_1(B, A))  =>  (v2_msualg_1(B, A) => B=g2_msualg_1(A, u3_msualg_1(A, B))) ) ) ).
fof(existence_l2_msualg_1, axiom,  (! [A] :  (l1_struct_0(A) =>  (? [B] : l2_msualg_1(B, A)) ) ) ).
fof(dt_g2_msualg_1, axiom,  (! [A, B] :  ( (l1_struct_0(A) &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (v2_msualg_1(g2_msualg_1(A, B), A) & l2_msualg_1(g2_msualg_1(A, B), A)) ) ) ).
fof(free_g2_msualg_1, axiom,  (! [A, B] :  ( (l1_struct_0(A) &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C, D] :  (g2_msualg_1(A, B)=g2_msualg_1(C, D) =>  (A=C & B=D) ) ) ) ) ).
fof(dt_u3_msualg_1, axiom,  (! [A, B] :  ( (l1_struct_0(A) & l2_msualg_1(B, A))  =>  (v1_relat_1(u3_msualg_1(A, B)) &  (v4_relat_1(u3_msualg_1(A, B), u1_struct_0(A)) &  (v1_funct_1(u3_msualg_1(A, B)) & v1_partfun1(u3_msualg_1(A, B), u1_struct_0(A))) ) ) ) ) ).
fof(abstractness_v3_msualg_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  & l3_msualg_1(B, A))  =>  (v3_msualg_1(B, A) => B=g3_msualg_1(A, u3_msualg_1(A, B), u4_msualg_1(A, B))) ) ) ).
fof(dt_l3_msualg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  (l3_msualg_1(B, A) => l2_msualg_1(B, A)) ) ) ) ).
fof(existence_l3_msualg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (? [B] : l3_msualg_1(B, A)) ) ) ).
fof(dt_g3_msualg_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  & m2_pboole(C, u4_struct_0(A), k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), B)), k3_relat_1(u2_msualg_1(A), B))) )  =>  (v3_msualg_1(g3_msualg_1(A, B, C), A) & l3_msualg_1(g3_msualg_1(A, B, C), A)) ) ) ).
fof(free_g3_msualg_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  & m2_pboole(C, u4_struct_0(A), k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), B)), k3_relat_1(u2_msualg_1(A), B))) )  =>  (! [D, E, F] :  (g3_msualg_1(A, B, C)=g3_msualg_1(D, E, F) =>  (A=D &  (B=E & C=F) ) ) ) ) ) ).
fof(dt_u4_msualg_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  & l3_msualg_1(B, A))  => m2_pboole(u4_msualg_1(A, B), u4_struct_0(A), k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, B))), k3_relat_1(u2_msualg_1(A), u3_msualg_1(A, B)))) ) ).
fof(dt_k3_msualg_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (m1_subset_1(B, u4_struct_0(A)) & l3_msualg_1(C, A)) )  => m1_subset_1(k3_msualg_1(A, B, C), k10_xtuple_0(k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, C))))) ) ).
fof(dt_k4_msualg_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (m1_subset_1(B, u4_struct_0(A)) & l3_msualg_1(C, A)) )  => m1_subset_1(k4_msualg_1(A, B, C), k10_xtuple_0(u3_msualg_1(A, C)))) ) ).
fof(dt_k5_msualg_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (m1_subset_1(B, u4_struct_0(A)) & l3_msualg_1(C, A)) )  =>  (v1_funct_1(k5_msualg_1(A, B, C)) &  (v1_funct_2(k5_msualg_1(A, B, C), k3_msualg_1(A, B, C), k4_msualg_1(A, B, C)) & m1_subset_1(k5_msualg_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k3_msualg_1(A, B, C), k4_msualg_1(A, B, C))))) ) ) ) ).
fof(dt_k6_msualg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (v7_struct_0(k6_msualg_1(A)) &  ( ~ (v11_struct_0(k6_msualg_1(A)))  &  (v1_msualg_1(k6_msualg_1(A)) &  (v5_msualg_1(k6_msualg_1(A)) & l1_msualg_1(k6_msualg_1(A))) ) ) ) ) ) ).
fof(dt_k7_msualg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (v1_relat_1(k7_msualg_1(A)) &  (v2_relat_1(k7_msualg_1(A)) &  (v4_relat_1(k7_msualg_1(A), u1_struct_0(k6_msualg_1(A))) &  (v1_funct_1(k7_msualg_1(A)) & v1_partfun1(k7_msualg_1(A), u1_struct_0(k6_msualg_1(A)))) ) ) ) ) ) ).
fof(dt_k8_msualg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  => m2_pboole(k8_msualg_1(A), u4_struct_0(k6_msualg_1(A)), k3_relat_1(u1_msualg_1(k6_msualg_1(A)), k6_finseq_2(u1_struct_0(k6_msualg_1(A)), k7_msualg_1(A))), k3_relat_1(u2_msualg_1(k6_msualg_1(A)), k7_msualg_1(A)))) ) ).
fof(dt_k9_msualg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (v3_msualg_1(k9_msualg_1(A), k6_msualg_1(A)) & l3_msualg_1(k9_msualg_1(A), k6_msualg_1(A))) ) ) ).
fof(dt_k11_msualg_1, axiom,  (! [A, B] :  ( ( ( ~ (v11_struct_0(A))  &  (v13_struct_0(A, 1) &  (v5_msualg_1(A) & l1_msualg_1(A)) ) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  => m2_finseq_1(k11_msualg_1(A, B), k4_partfun1(k3_finseq_2(k10_msualg_1(A, B)), k10_msualg_1(A, B)))) ) ).
fof(dt_k12_msualg_1, axiom,  (! [A, B] :  ( ( ( ~ (v11_struct_0(A))  &  (v13_struct_0(A, 1) &  (v5_msualg_1(A) & l1_msualg_1(A)) ) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  ( ~ (v2_struct_0(k12_msualg_1(A, B)))  &  (v1_unialg_1(k12_msualg_1(A, B)) &  (v2_unialg_1(k12_msualg_1(A, B)) &  (v3_unialg_1(k12_msualg_1(A, B)) &  (v4_unialg_1(k12_msualg_1(A, B)) & l1_unialg_1(k12_msualg_1(A, B))) ) ) ) ) ) ) ).
fof(fc1_msualg_2, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) ) )  =>  (v1_relat_1(k2_pboole(A, B, C)) &  (v2_relat_1(k2_pboole(A, B, C)) &  (v4_relat_1(k2_pboole(A, B, C), A) &  (v1_funct_1(k2_pboole(A, B, C)) & v1_partfun1(k2_pboole(A, B, C), A)) ) ) ) ) ) ).
fof(fc2_msualg_2, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) ) )  =>  (v1_relat_1(k2_pboole(A, C, B)) &  (v2_relat_1(k2_pboole(A, C, B)) &  (v4_relat_1(k2_pboole(A, C, B), A) &  (v1_funct_1(k2_pboole(A, C, B)) & v1_partfun1(k2_pboole(A, C, B), A)) ) ) ) ) ) ).
fof(fc3_msualg_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k3_finseq_2(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k3_finseq_2(A))))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) )  =>  ( ~ (v2_struct_0(g1_msualg_1(A, B, C, D)))  & v1_msualg_1(g1_msualg_1(A, B, C, D))) ) ) ).
fof(rc1_msualg_2, axiom,  (? [A] :  (l1_msualg_1(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v14_struct_0(A) &  (v1_msualg_1(A) & v2_msualg_2(A)) ) ) ) ) ) ).
fof(fc4_msualg_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msualg_2(A) & l1_msualg_1(A)) ) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  & m1_subset_1(C, u1_struct_0(A))) )  =>  ~ (v1_xboole_0(k1_msualg_2(A, B, C))) ) ) ).
fof(fc5_msualg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msualg_2(A) & l1_msualg_1(A)) ) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  => v2_relat_1(k2_msualg_2(A, B))) ) ).
fof(rc2_msualg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  & l3_msualg_1(B, A))  =>  (? [C] :  (m1_msualg_2(C, A, B) & v3_msualg_1(C, A)) ) ) ) ).
fof(fc6_msualg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  (v3_msualg_1(g3_msualg_1(A, u3_msualg_1(A, B), u4_msualg_1(A, B)), A) & v4_msualg_1(g3_msualg_1(A, u3_msualg_1(A, B), u4_msualg_1(A, B)), A)) ) ) ).
fof(rc3_msualg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  (? [C] :  (m1_msualg_2(C, A, B) &  (v3_msualg_1(C, A) & v4_msualg_1(C, A)) ) ) ) ) ).
fof(fc7_msualg_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (l3_msualg_1(B, A) & m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B))) )  =>  ~ (v1_xboole_0(k5_msualg_2(A, B, C))) ) ) ).
fof(fc8_msualg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  & l3_msualg_1(B, A))  =>  ~ (v1_xboole_0(k6_msualg_2(A, B))) ) ) ).
fof(fc9_msualg_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (l3_msualg_1(B, A) &  (m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B)) & m1_subset_1(D, u1_struct_0(A))) ) )  =>  ~ (v1_xboole_0(k8_msualg_2(A, B, C, D))) ) ) ).
fof(fc10_msualg_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  (v2_relat_1(C) & m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B))) ) )  =>  (v3_msualg_1(k12_msualg_2(A, B, C), A) & v4_msualg_1(k12_msualg_2(A, B, C), A)) ) ) ).
fof(fc11_msualg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  & l3_msualg_1(B, A))  =>  ~ (v1_xboole_0(k14_msualg_2(A, B))) ) ) ).
fof(fc12_msualg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  ( ~ (v2_struct_0(k17_msualg_2(A, B)))  &  (v3_lattices(k17_msualg_2(A, B)) &  (v10_lattices(k17_msualg_2(A, B)) & v15_lattices(k17_msualg_2(A, B))) ) ) ) ) ).
fof(t1_msualg_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  (m2_finseq_2(D, A, k3_finseq_2(A)) => k4_card_3(k3_relat_1(D, k3_pboole(A, B, C)))=k3_xboole_0(k4_card_3(k3_relat_1(D, B)), k4_card_3(k3_relat_1(D, C)))) ) ) ) ) ) ) ) ).
fof(d1_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v1_msualg_2(B, A) <=>  (? [C] :  (m1_subset_1(C, u4_struct_0(A)) &  (k1_funct_1(u1_msualg_1(A), C)=k1_xboole_0 & k1_funct_1(u2_msualg_1(A), C)=B) ) ) ) ) ) ) ) ).
fof(d2_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (v2_msualg_2(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v1_msualg_2(B, A)) ) ) ) ) ).
fof(d4_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B)) =>  (C=k2_msualg_2(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_funct_1(C, D)=k1_msualg_2(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d5_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m3_pboole(D, u1_struct_0(A), u3_msualg_1(A, B)) =>  (r1_msualg_2(A, B, C, D) <=> r1_tarski(k10_xtuple_0(k5_relat_1(k5_msualg_1(A, C, B), k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), D)), C))), k1_funct_1(k3_relat_1(u2_msualg_1(A), D), C))) ) ) ) ) ) ) ) ) ).
fof(d6_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B)) =>  (v3_msualg_2(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) => r1_msualg_2(A, B, D, C)) ) ) ) ) ) ) ) ) ).
fof(t2_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (m3_pboole(D, u1_struct_0(A), u3_msualg_1(A, C)) =>  (! [E] :  (m3_pboole(E, u1_struct_0(A), u3_msualg_1(A, C)) =>  (r2_pboole(u1_struct_0(A), D, E) => r1_tarski(k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), D)), B), k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), E)), B))) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m3_pboole(D, u1_struct_0(A), u3_msualg_1(A, B)) =>  (r1_msualg_2(A, B, C, D) => k3_msualg_2(A, B, C, D)=k5_relat_1(k5_msualg_1(A, C, B), k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), D)), C))) ) ) ) ) ) ) ) ) ).
fof(d8_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B)) =>  (! [D] :  (m2_pboole(D, u4_struct_0(A), k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), C)), k3_relat_1(u2_msualg_1(A), C)) =>  (D=k4_msualg_2(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) => k1_funct_1(D, E)=k3_msualg_2(A, B, E, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B)) =>  (r8_pboole(u1_struct_0(A), C, u3_msualg_1(A, B)) =>  (v3_msualg_2(C, A, B) &  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) => k3_msualg_2(A, B, D, C)=k5_msualg_1(A, D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t4_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B)) =>  (r8_pboole(u1_struct_0(A), C, u3_msualg_1(A, B)) => r8_pboole(u4_struct_0(A), k4_msualg_2(A, B, C), u4_msualg_1(A, B))) ) ) ) ) ) ) ).
fof(d9_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (l3_msualg_1(C, A) =>  (m1_msualg_2(C, A, B) <=>  (m3_pboole(u3_msualg_1(A, C), u1_struct_0(A), u3_msualg_1(A, B)) &  (! [D] :  (m3_pboole(D, u1_struct_0(A), u3_msualg_1(A, B)) =>  (r8_pboole(u1_struct_0(A), D, u3_msualg_1(A, C)) =>  (v3_msualg_2(D, A, B) & r8_pboole(u4_struct_0(A), u4_msualg_1(A, C), k4_msualg_2(A, B, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (l3_msualg_1(C, A) =>  (g3_msualg_1(A, u3_msualg_1(A, B), u4_msualg_1(A, B))=g3_msualg_1(A, u3_msualg_1(A, C), u4_msualg_1(A, C)) => m1_msualg_2(B, A, C)) ) ) ) ) ) ) ).
fof(t6_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (l3_msualg_1(D, A) =>  ( (m1_msualg_2(B, A, C) & m1_msualg_2(C, A, D))  => m1_msualg_2(B, A, D)) ) ) ) ) ) ) ) ) ).
fof(t7_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (l3_msualg_1(C, A) =>  ( (m1_msualg_2(B, A, C) & m1_msualg_2(C, A, B))  => g3_msualg_1(A, u3_msualg_1(A, B), u4_msualg_1(A, B))=g3_msualg_1(A, u3_msualg_1(A, C), u4_msualg_1(A, C))) ) ) ) ) ) ) ).
fof(t8_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m1_msualg_2(C, A, B) =>  (! [D] :  (m1_msualg_2(D, A, B) =>  (r2_pboole(u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D)) => m1_msualg_2(C, A, D)) ) ) ) ) ) ) ) ) ).
fof(t9_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m1_msualg_2(C, A, B) =>  (! [D] :  (m1_msualg_2(D, A, B) =>  (r8_pboole(u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D)) => g3_msualg_1(A, u3_msualg_1(A, C), u4_msualg_1(A, C))=g3_msualg_1(A, u3_msualg_1(A, D), u4_msualg_1(A, D))) ) ) ) ) ) ) ) ) ).
fof(t10_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m1_msualg_2(C, A, B) => m3_pboole(k2_msualg_2(A, B), u1_struct_0(A), u3_msualg_1(A, C))) ) ) ) ) ) ).
fof(t11_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msualg_2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & m1_msualg_2(C, A, B))  =>  (v2_relat_1(k2_msualg_2(A, B)) & m3_pboole(k2_msualg_2(A, B), u1_struct_0(A), u3_msualg_1(A, C))) ) ) ) ) ) ) ).
fof(t12_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msualg_2(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & m1_msualg_2(C, A, B))  =>  (! [D] :  ( (v4_msualg_1(D, A) & m1_msualg_2(D, A, B))  => v2_relat_1(k3_pboole(u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D)))) ) ) ) ) ) ) ) ).
fof(d10_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B)) =>  (! [D] :  (D=k5_msualg_2(A, B, C) <=>  (! [E] :  (r2_hidden(E, D) <=>  (r2_hidden(E, k9_funct_2(u1_struct_0(A), k9_setfam_1(k3_card_3(u3_msualg_1(A, B))))) &  (m3_pboole(E, u1_struct_0(A), u3_msualg_1(A, B)) &  (! [F] :  (m3_pboole(F, u1_struct_0(A), u3_msualg_1(A, B)) =>  (F=E =>  (v3_msualg_2(F, A, B) &  (r2_pboole(u1_struct_0(A), k2_msualg_2(A, B), F) & r2_pboole(u1_struct_0(A), C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (C=k6_msualg_2(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (r2_hidden(D, k9_funct_2(u1_struct_0(A), k9_setfam_1(k3_card_3(u3_msualg_1(A, B))))) &  (m3_pboole(D, u1_struct_0(A), u3_msualg_1(A, B)) &  (! [E] :  (m3_pboole(E, u1_struct_0(A), u3_msualg_1(A, B)) =>  (E=D => v3_msualg_2(E, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m1_subset_1(C, k6_msualg_2(A, B)) => k7_msualg_2(A, B, C)=C) ) ) ) ) ) ).
fof(t13_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B)) =>  (! [D] :  (m3_pboole(D, u1_struct_0(A), u3_msualg_1(A, B)) =>  (r2_tarski(D, k5_msualg_2(A, B, C)) <=>  (v3_msualg_2(D, A, B) &  (r2_pboole(u1_struct_0(A), k2_msualg_2(A, B), D) & r2_pboole(u1_struct_0(A), C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B)) =>  (r2_tarski(C, k6_msualg_2(A, B)) <=> v3_msualg_2(C, A, B)) ) ) ) ) ) ) ).
fof(d13_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (E=k8_msualg_2(A, B, C, D) <=>  (! [F] :  (r2_hidden(F, E) <=>  (? [G] :  (m3_pboole(G, u1_struct_0(A), u3_msualg_1(A, B)) &  (r2_tarski(G, k5_msualg_2(A, B, C)) & F=k1_funct_1(G, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B)) =>  (! [D] :  (m3_pboole(D, u1_struct_0(A), u3_msualg_1(A, B)) =>  (D=k9_msualg_2(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k1_funct_1(D, E)=k1_setfam_1(k8_msualg_2(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B)) => r2_pboole(u1_struct_0(A), k2_pboole(u1_struct_0(A), k2_msualg_2(A, B), C), k9_msualg_2(A, B, C))) ) ) ) ) ) ).
fof(t16_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B)) =>  (v2_relat_1(k2_pboole(u1_struct_0(A), k2_msualg_2(A, B), C)) => v2_relat_1(k9_msualg_2(A, B, C))) ) ) ) ) ) ) ).
fof(t17_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (m3_pboole(D, u1_struct_0(A), u3_msualg_1(A, C)) =>  (! [E] :  (m3_pboole(E, u1_struct_0(A), u3_msualg_1(A, C)) =>  (r2_tarski(E, k5_msualg_2(A, C, D)) => r1_tarski(k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k9_msualg_2(A, C, D))), B), k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), E)), B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (m3_pboole(D, u1_struct_0(A), u3_msualg_1(A, C)) =>  (! [E] :  (m3_pboole(E, u1_struct_0(A), u3_msualg_1(A, C)) =>  (r2_tarski(E, k5_msualg_2(A, C, D)) => r1_tarski(k10_xtuple_0(k5_relat_1(k5_msualg_1(A, B, C), k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k9_msualg_2(A, C, D))), B))), k1_funct_1(k3_relat_1(u2_msualg_1(A), E), B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (m3_pboole(D, u1_struct_0(A), u3_msualg_1(A, C)) => r1_tarski(k10_xtuple_0(k5_relat_1(k5_msualg_1(A, B, C), k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k9_msualg_2(A, C, D))), B))), k1_funct_1(k3_relat_1(u2_msualg_1(A), k9_msualg_2(A, C, D)), B))) ) ) ) ) ) ) ) ).
fof(t20_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B)) =>  (v3_msualg_2(k9_msualg_2(A, B, C), A, B) & r2_pboole(u1_struct_0(A), C, k9_msualg_2(A, B, C))) ) ) ) ) ) ) ).
fof(d15_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B)) =>  (v3_msualg_2(C, A, B) => k10_msualg_2(A, B, C)=g3_msualg_1(A, C, k4_msualg_2(A, B, C))) ) ) ) ) ) ) ).
fof(d16_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m1_msualg_2(C, A, B) =>  (! [D] :  (m1_msualg_2(D, A, B) =>  (! [E] :  ( (v3_msualg_1(E, A) & m1_msualg_2(E, A, B))  =>  (E=k11_msualg_2(A, B, C, D) <=>  (r8_pboole(u1_struct_0(A), u3_msualg_1(A, E), k3_pboole(u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D))) &  (! [F] :  (m3_pboole(F, u1_struct_0(A), u3_msualg_1(A, B)) =>  (r8_pboole(u1_struct_0(A), F, u3_msualg_1(A, E)) =>  (v3_msualg_2(F, A, B) & r8_pboole(u4_struct_0(A), u4_msualg_1(A, E), k4_msualg_2(A, B, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B)) =>  (! [D] :  ( (v3_msualg_1(D, A) & m1_msualg_2(D, A, B))  =>  (D=k12_msualg_2(A, B, C) <=>  (m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, D)) &  (! [E] :  (m1_msualg_2(E, A, B) =>  (m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, E)) => m1_msualg_2(D, A, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B)) =>  (r8_pboole(u1_struct_0(A), C, u3_msualg_1(A, B)) => k12_msualg_2(A, B, C)=g3_msualg_1(A, u3_msualg_1(A, B), u4_msualg_1(A, B))) ) ) ) ) ) ) ).
fof(t22_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m1_msualg_2(C, A, B) =>  (! [D] :  (m3_pboole(D, u1_struct_0(A), u3_msualg_1(A, B)) =>  (r8_pboole(u1_struct_0(A), D, u3_msualg_1(A, C)) => k12_msualg_2(A, B, D)=g3_msualg_1(A, u3_msualg_1(A, C), u4_msualg_1(A, C))) ) ) ) ) ) ) ) ) ).
fof(t23_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_msualg_2(C, A, B) => k11_msualg_2(A, B, k12_msualg_2(A, B, k2_msualg_2(A, B)), C)=k12_msualg_2(A, B, k2_msualg_2(A, B))) ) ) ) ) ) ).
fof(d18_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_msualg_2(C, A, B) =>  (! [D] :  (m1_msualg_2(D, A, B) =>  (! [E] :  ( (v3_msualg_1(E, A) & m1_msualg_2(E, A, B))  =>  (E=k13_msualg_2(A, B, C, D) <=>  (! [F] :  (m3_pboole(F, u1_struct_0(A), u3_msualg_1(A, B)) =>  (r8_pboole(u1_struct_0(A), F, k2_pboole(u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D))) => E=k12_msualg_2(A, B, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_msualg_2(C, A, B) =>  (! [D] :  (m3_pboole(D, u1_struct_0(A), u3_msualg_1(A, B)) =>  (! [E] :  (m3_pboole(E, u1_struct_0(A), u3_msualg_1(A, B)) =>  (r8_pboole(u1_struct_0(A), E, k2_pboole(u1_struct_0(A), D, u3_msualg_1(A, C))) => k13_msualg_2(A, B, k12_msualg_2(A, B, D), C)=k12_msualg_2(A, B, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_msualg_2(C, A, B) =>  (! [D] :  (m3_pboole(D, u1_struct_0(A), u3_msualg_1(A, B)) =>  (r8_pboole(u1_struct_0(A), D, u3_msualg_1(A, B)) => k13_msualg_2(A, B, k12_msualg_2(A, B, D), C)=k12_msualg_2(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t26_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_msualg_2(C, A, B) =>  (! [D] :  (m1_msualg_2(D, A, B) => k13_msualg_2(A, B, C, D)=k13_msualg_2(A, B, D, C)) ) ) ) ) ) ) ) ).
fof(t27_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_msualg_2(C, A, B) =>  (! [D] :  (m1_msualg_2(D, A, B) => k11_msualg_2(A, B, C, k13_msualg_2(A, B, C, D))=g3_msualg_1(A, u3_msualg_1(A, C), u4_msualg_1(A, C))) ) ) ) ) ) ) ) ).
fof(t28_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_msualg_2(C, A, B) =>  (! [D] :  (m1_msualg_2(D, A, B) => k13_msualg_2(A, B, k11_msualg_2(A, B, C, D), D)=g3_msualg_1(A, u3_msualg_1(A, D), u4_msualg_1(A, D))) ) ) ) ) ) ) ) ).
fof(d19_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (C=k14_msualg_2(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (v3_msualg_1(D, A) & m1_msualg_2(D, A, B)) ) ) ) ) ) ) ) ) ).
fof(d20_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k14_msualg_2(A, B), k14_msualg_2(A, B)), k14_msualg_2(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k14_msualg_2(A, B), k14_msualg_2(A, B)), k14_msualg_2(A, B))))) )  =>  (C=k15_msualg_2(A, B) <=>  (! [D] :  (m1_subset_1(D, k14_msualg_2(A, B)) =>  (! [E] :  (m1_subset_1(E, k14_msualg_2(A, B)) =>  (! [F] :  ( (v3_msualg_1(F, A) & m1_msualg_2(F, A, B))  =>  (! [G] :  ( (v3_msualg_1(G, A) & m1_msualg_2(G, A, B))  =>  ( (D=F & E=G)  => k4_binop_1(k14_msualg_2(A, B), C, D, E)=k13_msualg_2(A, B, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d21_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k14_msualg_2(A, B), k14_msualg_2(A, B)), k14_msualg_2(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k14_msualg_2(A, B), k14_msualg_2(A, B)), k14_msualg_2(A, B))))) )  =>  (C=k16_msualg_2(A, B) <=>  (! [D] :  (m1_subset_1(D, k14_msualg_2(A, B)) =>  (! [E] :  (m1_subset_1(E, k14_msualg_2(A, B)) =>  (! [F] :  ( (v3_msualg_1(F, A) & m1_msualg_2(F, A, B))  =>  (! [G] :  ( (v3_msualg_1(G, A) & m1_msualg_2(G, A, B))  =>  ( (D=F & E=G)  => k4_binop_1(k14_msualg_2(A, B), C, D, E)=k11_msualg_2(A, B, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  => v1_binop_1(k15_msualg_2(A, B), k14_msualg_2(A, B))) ) ) ) ).
fof(t30_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  => v2_binop_1(k15_msualg_2(A, B), k14_msualg_2(A, B))) ) ) ) ).
fof(t31_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  => v1_binop_1(k16_msualg_2(A, B), k14_msualg_2(A, B))) ) ) ) ).
fof(t32_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  => v2_binop_1(k16_msualg_2(A, B), k14_msualg_2(A, B))) ) ) ) ).
fof(d22_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  => k17_msualg_2(A, B)=g3_lattices(k14_msualg_2(A, B), k15_msualg_2(A, B), k16_msualg_2(A, B))) ) ) ) ).
fof(t33_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  => v15_lattices(k17_msualg_2(A, B))) ) ) ) ).
fof(t34_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  => k5_lattices(k17_msualg_2(A, B))=k12_msualg_2(A, B, k2_msualg_2(A, B))) ) ) ) ).
fof(t35_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B)) =>  (r8_pboole(u1_struct_0(A), C, u3_msualg_1(A, B)) => k6_lattices(k17_msualg_2(A, B))=k12_msualg_2(A, B, C)) ) ) ) ) ) ) ).
fof(t36_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  => k6_lattices(k17_msualg_2(A, B))=g3_msualg_1(A, u3_msualg_1(A, B), u4_msualg_1(A, B))) ) ) ) ).
fof(t37_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) => m1_msualg_2(g3_msualg_1(A, u3_msualg_1(A, B), u4_msualg_1(A, B)), A, B)) ) ) ) ).
fof(t38_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B)) => r2_tarski(u3_msualg_1(A, B), k5_msualg_2(A, B, C))) ) ) ) ) ) ).
fof(t39_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B)) => r1_tarski(k5_msualg_2(A, B, C), k6_msualg_2(A, B))) ) ) ) ) ) ).
fof(dt_k1_msualg_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (l3_msualg_1(B, A) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k1_msualg_2(A, B, C), k1_zfmisc_1(k1_funct_1(u3_msualg_1(A, B), C)))) ) ).
fof(dt_k2_msualg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  & l3_msualg_1(B, A))  => m3_pboole(k2_msualg_2(A, B), u1_struct_0(A), u3_msualg_1(A, B))) ) ).
fof(dt_k3_msualg_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (l3_msualg_1(B, A) &  (m1_subset_1(C, u4_struct_0(A)) & m3_pboole(D, u1_struct_0(A), u3_msualg_1(A, B))) ) )  =>  (v1_funct_1(k3_msualg_2(A, B, C, D)) &  (v1_funct_2(k3_msualg_2(A, B, C, D), k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), D)), C), k1_funct_1(k3_relat_1(u2_msualg_1(A), D), C)) & m1_subset_1(k3_msualg_2(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), D)), C), k1_funct_1(k3_relat_1(u2_msualg_1(A), D), C))))) ) ) ) ).
fof(dt_k4_msualg_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (l3_msualg_1(B, A) & m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B))) )  => m2_pboole(k4_msualg_2(A, B, C), u4_struct_0(A), k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), C)), k3_relat_1(u2_msualg_1(A), C))) ) ).
fof(dt_m1_msualg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  & l3_msualg_1(B, A))  =>  (! [C] :  (m1_msualg_2(C, A, B) => l3_msualg_1(C, A)) ) ) ) ).
fof(existence_m1_msualg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  & l3_msualg_1(B, A))  =>  (? [C] : m1_msualg_2(C, A, B)) ) ) ).
fof(dt_k7_msualg_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (l3_msualg_1(B, A) & m1_subset_1(C, k6_msualg_2(A, B))) )  => m3_pboole(k7_msualg_2(A, B, C), u1_struct_0(A), u3_msualg_1(A, B))) ) ).
fof(dt_k9_msualg_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (l3_msualg_1(B, A) & m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B))) )  => m3_pboole(k9_msualg_2(A, B, C), u1_struct_0(A), u3_msualg_1(A, B))) ) ).
fof(dt_k10_msualg_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (l3_msualg_1(B, A) & m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B))) )  =>  (v3_msualg_1(k10_msualg_2(A, B, C), A) & m1_msualg_2(k10_msualg_2(A, B, C), A, B)) ) ) ).
fof(dt_k11_msualg_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (l3_msualg_1(B, A) &  (m1_msualg_2(C, A, B) & m1_msualg_2(D, A, B)) ) )  =>  (v3_msualg_1(k11_msualg_2(A, B, C, D), A) & m1_msualg_2(k11_msualg_2(A, B, C, D), A, B)) ) ) ).
fof(dt_k12_msualg_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (l3_msualg_1(B, A) & m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B))) )  =>  (v3_msualg_1(k12_msualg_2(A, B, C), A) & m1_msualg_2(k12_msualg_2(A, B, C), A, B)) ) ) ).
fof(dt_k13_msualg_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  (m1_msualg_2(C, A, B) & m1_msualg_2(D, A, B)) ) )  =>  (v3_msualg_1(k13_msualg_2(A, B, C, D), A) & m1_msualg_2(k13_msualg_2(A, B, C, D), A, B)) ) ) ).
fof(dt_k15_msualg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  (v1_funct_1(k15_msualg_2(A, B)) &  (v1_funct_2(k15_msualg_2(A, B), k2_zfmisc_1(k14_msualg_2(A, B), k14_msualg_2(A, B)), k14_msualg_2(A, B)) & m1_subset_1(k15_msualg_2(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k14_msualg_2(A, B), k14_msualg_2(A, B)), k14_msualg_2(A, B))))) ) ) ) ).
fof(dt_k16_msualg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  (v1_funct_1(k16_msualg_2(A, B)) &  (v1_funct_2(k16_msualg_2(A, B), k2_zfmisc_1(k14_msualg_2(A, B), k14_msualg_2(A, B)), k14_msualg_2(A, B)) & m1_subset_1(k16_msualg_2(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k14_msualg_2(A, B), k14_msualg_2(A, B)), k14_msualg_2(A, B))))) ) ) ) ).
fof(dt_k17_msualg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  ( ~ (v2_struct_0(k17_msualg_2(A, B)))  &  (v3_lattices(k17_msualg_2(A, B)) &  (v10_lattices(k17_msualg_2(A, B)) & l3_lattices(k17_msualg_2(A, B))) ) ) ) ) ).
fof(d3_msualg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_funct_1(u3_msualg_1(A, B), C))) =>  ( ( ~ (k1_funct_1(u3_msualg_1(A, B), C)=k1_xboole_0)  =>  (D=k1_msualg_2(A, B, C) <=>  (? [E] :  ( ~ (v1_xboole_0(E))  &  (E=k1_funct_1(u3_msualg_1(A, B), C) & D=a_4_0_msualg_2(A, B, C, E)) ) ) ) )  &  (k1_funct_1(u3_msualg_1(A, B), C)=k1_xboole_0 =>  (D=k1_msualg_2(A, B, C) <=> D=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_msualg_2, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  &  (l3_msualg_1(C, B) &  (m1_subset_1(D, u1_struct_0(B)) &  ~ (v1_xboole_0(E)) ) ) )  =>  (r2_hidden(A, a_4_0_msualg_2(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, E) &  (A=F &  (? [G] :  (m1_subset_1(G, u4_struct_0(B)) &  (k3_funct_2(u4_struct_0(B), k3_finseq_2(u1_struct_0(B)), u1_msualg_1(B), G)=k1_xboole_0 &  (k3_funct_2(u4_struct_0(B), u1_struct_0(B), u2_msualg_1(B), G)=D & r2_tarski(F, k10_xtuple_0(k5_msualg_1(B, G, C)))) ) ) ) ) ) ) ) ) ) ).
fof(rc1_msualg_3, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_funcop_1(B) &  (v2_funcop_1(B) & v1_msualg_3(B)) ) ) ) ) ) ) ) ).
fof(fc1_msualg_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  & m1_subset_1(C, u4_struct_0(A))) )  => v4_funct_1(k3_msualg_1(A, C, B))) ) ).
fof(d1_msualg_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m2_pboole(C, A, B, B) =>  (C=k2_msualg_3(A, B) <=>  (! [D] :  (r2_tarski(D, A) => k1_funct_1(C, D)=k6_partfun1(k1_funct_1(B, D))) ) ) ) ) ) ) ) ).
fof(d2_msualg_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_msualg_3(A) <=>  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r2_tarski(B, k9_xtuple_0(A)) & k1_funct_1(A, B)=C)  => v2_funct_1(C)) ) ) ) ) ) ) ).
fof(t1_msualg_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_funcop_1(B)) ) ) )  =>  (v1_msualg_3(B) <=>  (! [C] :  (r2_tarski(C, A) => v2_funct_1(k1_funct_1(B, C))) ) ) ) ) ) ).
fof(d3_msualg_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  (m2_pboole(D, A, B, C) =>  (v2_msualg_3(D, A, B, C) <=>  (! [E] :  (r2_tarski(E, A) => k10_xtuple_0(k1_funct_1(D, E))=k1_funct_1(C, E)) ) ) ) ) ) ) ) ) ) ).
fof(t2_msualg_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (! [E] :  (m2_pboole(E, A, B, C) =>  (! [F] :  (m2_pboole(F, A, C, D) =>  (k9_xtuple_0(k8_pboole(E, F))=A &  (! [G] :  (r2_tarski(G, A) => k1_funct_1(k8_pboole(E, F), G)=k3_relat_1(k1_funct_1(E, G), k1_funct_1(F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_msualg_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  (m2_pboole(D, A, B, C) => k8_pboole(k2_msualg_3(A, B), D)=D) ) ) ) ) ) ) ).
fof(t4_msualg_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  (m2_pboole(D, A, B, C) => k8_pboole(D, k2_msualg_3(A, C))=D) ) ) ) ) ) ) ).
fof(d4_msualg_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  (m2_pboole(D, A, B, C) =>  ( (v1_msualg_3(D) & v2_msualg_3(D, A, B, C))  =>  (! [E] :  (m2_pboole(E, A, C, B) =>  (E=k4_msualg_3(A, B, C, D) <=>  (! [F] :  (r2_tarski(F, A) => k1_funct_1(E, F)=k2_funct_1(k1_funct_1(D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_msualg_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  (m2_pboole(D, A, B, C) =>  (! [E] :  (m2_pboole(E, A, C, B) =>  ( (v1_msualg_3(D) &  (v2_msualg_3(D, A, B, C) & r6_pboole(A, E, k4_msualg_3(A, B, C, D))) )  =>  (r6_pboole(A, k3_msualg_3(A, C, B, C, E, D), k2_msualg_3(A, C)) & r6_pboole(A, k3_msualg_3(A, B, C, B, D, E), k2_msualg_3(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_msualg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r2_tarski(D, k3_msualg_1(A, B, C)) =>  (k9_xtuple_0(D)=k4_finseq_1(k1_msualg_1(A, B)) &  (! [E] :  (r2_tarski(E, k9_xtuple_0(k3_relat_1(k1_msualg_1(A, B), u3_msualg_1(A, C)))) => r2_tarski(k1_funct_1(D, E), k1_funct_1(k3_relat_1(k1_msualg_1(A, B), u3_msualg_1(A, C)), E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_msualg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (! [F] :  (m1_subset_1(F, k3_msualg_1(A, D, B)) =>  ~ ( ( ~ (k3_msualg_1(A, D, B)=k1_xboole_0)  &  ( ~ (k3_msualg_1(A, D, C)=k1_xboole_0)  &  ~ (k5_msualg_3(A, B, C, D, E, F)=k1_funct_1(k2_pralg_2(k3_relat_1(k1_msualg_1(A, D), E)), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_msualg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (! [F] :  (m1_subset_1(F, k3_msualg_1(A, D, B)) =>  (! [G] :  (m1_subset_1(G, k3_msualg_1(A, D, C)) =>  (G=k5_msualg_3(A, B, C, D, E, F) <=>  (! [H] :  (v7_ordinal1(H) =>  (r2_tarski(H, k9_xtuple_0(F)) => k1_funct_1(G, H)=k1_funct_1(k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C), E, k7_partfun1(u1_struct_0(A), k1_msualg_1(A, D), H)), k1_funct_1(F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_msualg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (l3_msualg_1(C, A) =>  ( ~ (k3_msualg_1(A, B, C)=k1_xboole_0)  =>  (! [D] :  (m1_subset_1(D, k3_msualg_1(A, B, C)) => D=k5_msualg_3(A, C, C, B, k2_msualg_3(u1_struct_0(A), u3_msualg_1(A, C)), D)) ) ) ) ) ) ) ) ) ).
fof(t8_msualg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  ( (v4_msualg_1(D, A) & l3_msualg_1(D, A))  =>  (! [E] :  ( (v4_msualg_1(E, A) & l3_msualg_1(E, A))  =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D)) =>  (! [G] :  (m2_pboole(G, u1_struct_0(A), u3_msualg_1(A, D), u3_msualg_1(A, E)) =>  (! [H] :  (m1_subset_1(H, k3_msualg_1(A, B, C)) => k5_msualg_3(A, C, E, B, k3_msualg_3(u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D), u3_msualg_1(A, E), F, G), H)=k5_msualg_3(A, D, E, B, G, k5_msualg_3(A, C, D, B, F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_msualg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (r1_msualg_3(A, B, C, D) <=>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  ( ~ (k3_msualg_1(A, E, B)=k1_xboole_0)  =>  (! [F] :  (m1_subset_1(F, k3_msualg_1(A, E, B)) => k1_funct_1(k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C), D, k2_msualg_1(A, E)), k1_funct_1(k5_msualg_1(A, E, B), F))=k1_funct_1(k5_msualg_1(A, E, C), k5_msualg_3(A, B, C, E, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_msualg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) => r1_msualg_3(A, B, B, k2_msualg_3(u1_struct_0(A), u3_msualg_1(A, B)))) ) ) ) ).
fof(t10_msualg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  ( (v4_msualg_1(D, A) & l3_msualg_1(D, A))  =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D)) =>  ( (r1_msualg_3(A, B, C, E) & r1_msualg_3(A, C, D, F))  => r1_msualg_3(A, B, D, k3_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C), u3_msualg_1(A, D), E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_msualg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (r2_msualg_3(A, B, C, D) <=>  (r1_msualg_3(A, B, C, D) & v2_msualg_3(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C))) ) ) ) ) ) ) ) ) ) ).
fof(t11_msualg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  ( (v4_msualg_1(D, A) & l3_msualg_1(D, A))  =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D)) =>  ( (r2_msualg_3(A, B, C, E) & r2_msualg_3(A, C, D, F))  => r2_msualg_3(A, B, D, k3_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C), u3_msualg_1(A, D), E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_msualg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (r3_msualg_3(A, B, C, D) <=>  (r1_msualg_3(A, B, C, D) & v1_msualg_3(D)) ) ) ) ) ) ) ) ) ) ).
fof(t12_msualg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  ( (v4_msualg_1(D, A) & l3_msualg_1(D, A))  =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D)) =>  ( (r3_msualg_3(A, B, C, E) & r3_msualg_3(A, C, D, F))  => r3_msualg_3(A, B, D, k3_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C), u3_msualg_1(A, D), E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_msualg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (r4_msualg_3(A, B, C, D) <=>  (r2_msualg_3(A, B, C, D) & r3_msualg_3(A, B, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t13_msualg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (r4_msualg_3(A, B, C, D) <=>  (r1_msualg_3(A, B, C, D) &  (v2_msualg_3(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) & v1_msualg_3(D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_msualg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, B)) =>  ( (r4_msualg_3(A, B, C, D) & r8_pboole(u1_struct_0(A), E, k4_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C), D)))  => r4_msualg_3(A, C, B, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_msualg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  ( (v4_msualg_1(D, A) & l3_msualg_1(D, A))  =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D)) =>  ( (r4_msualg_3(A, B, C, E) & r4_msualg_3(A, C, D, F))  => r4_msualg_3(A, B, D, k3_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C), u3_msualg_1(A, D), E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_msualg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (l3_msualg_1(C, A) =>  (r5_msualg_3(A, B, C) <=>  (? [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) & r4_msualg_3(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t16_msualg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (r4_msualg_3(A, B, B, k2_msualg_3(u1_struct_0(A), u3_msualg_1(A, B))) & r5_msualg_3(A, B, B)) ) ) ) ) ).
fof(t17_msualg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (r6_msualg_3(A, B, C) => r6_msualg_3(A, C, B)) ) ) ) ) ) ) ).
fof(t18_msualg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  ( (v4_msualg_1(D, A) & l3_msualg_1(D, A))  =>  ( (r6_msualg_3(A, B, C) & r6_msualg_3(A, C, D))  => r6_msualg_3(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d12_msualg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (r1_msualg_3(A, B, C, D) =>  (! [E] :  ( (v3_msualg_1(E, A) &  (v4_msualg_1(E, A) & m1_msualg_2(E, A, C)) )  =>  (E=k6_msualg_3(A, B, C, D) <=> r8_pboole(u1_struct_0(A), u3_msualg_1(A, E), k9_pboole(u1_struct_0(A), u3_msualg_1(A, B), D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_msualg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (r1_msualg_3(A, B, C, D) =>  (r2_msualg_3(A, B, C, D) <=> k6_msualg_3(A, B, C, D)=g3_msualg_1(A, u3_msualg_1(A, C), u4_msualg_1(A, C))) ) ) ) ) ) ) ) ) ) ).
fof(t20_msualg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, k6_msualg_3(A, B, C, D))) =>  ( (r8_pboole(u1_struct_0(A), D, E) & r1_msualg_3(A, B, C, D))  => r2_msualg_3(A, B, k6_msualg_3(A, B, C, D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_msualg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  ~ ( (r1_msualg_3(A, B, C, D) &  (! [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, k6_msualg_3(A, B, C, D))) =>  ~ ( (r8_pboole(u1_struct_0(A), D, E) & r2_msualg_3(A, B, k6_msualg_3(A, B, C, D), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_msualg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & m1_msualg_2(C, A, B))  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, B)) =>  (r8_pboole(u1_struct_0(A), D, k2_msualg_3(u1_struct_0(A), u3_msualg_1(A, C))) => r3_msualg_3(A, C, B, D)) ) ) ) ) ) ) ) ) ).
fof(t23_msualg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  ~ ( (r1_msualg_3(A, B, C, D) &  (! [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, k6_msualg_3(A, B, C, D))) =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), u3_msualg_1(A, k6_msualg_3(A, B, C, D)), u3_msualg_1(A, C)) =>  ~ ( (r2_msualg_3(A, B, k6_msualg_3(A, B, C, D), E) &  (r3_msualg_3(A, k6_msualg_3(A, B, C, D), C, F) & r8_pboole(u1_struct_0(A), D, k3_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, k6_msualg_3(A, B, C, D)), u3_msualg_1(A, C), E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_msualg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (! [F] :  (m1_subset_1(F, k3_msualg_1(A, D, B)) =>  (! [G] :  ( (v1_relat_1(G) & v1_funct_1(G))  =>  (! [H] :  ( (v1_relat_1(H) & v1_funct_1(H))  =>  ( (F=G &  (r2_tarski(F, k3_msualg_1(A, D, B)) & r2_tarski(H, k3_msualg_1(A, D, C))) )  =>  (H=k5_msualg_3(A, B, C, D, E, F) <=>  (! [I] :  (v7_ordinal1(I) =>  (r2_tarski(I, k9_xtuple_0(G)) => k1_funct_1(H, I)=k1_funct_1(k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C), E, k7_partfun1(u1_struct_0(A), k1_msualg_1(A, D), I)), k1_funct_1(G, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_msualg_3, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  &  (m2_pboole(D, A, B, C) & m1_subset_1(E, A)) ) ) )  =>  (v1_funct_1(k1_msualg_3(A, B, C, D, E)) &  (v1_funct_2(k1_msualg_3(A, B, C, D, E), k1_funct_1(B, E), k1_funct_1(C, E)) & m1_subset_1(k1_msualg_3(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(B, E), k1_funct_1(C, E))))) ) ) ) ).
fof(redefinition_k1_msualg_3, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  &  (m2_pboole(D, A, B, C) & m1_subset_1(E, A)) ) ) )  => k1_msualg_3(A, B, C, D, E)=k1_funct_1(D, E)) ) ).
fof(dt_k2_msualg_3, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => m2_pboole(k2_msualg_3(A, B), A, B, B)) ) ).
fof(dt_k3_msualg_3, axiom,  (! [A, B, C, D, E, F] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  &  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) ) )  &  (m2_pboole(E, A, B, C) & m2_pboole(F, A, C, D)) ) ) )  => m2_pboole(k3_msualg_3(A, B, C, D, E, F), A, B, D)) ) ).
fof(redefinition_k3_msualg_3, axiom,  (! [A, B, C, D, E, F] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  &  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) ) )  &  (m2_pboole(E, A, B, C) & m2_pboole(F, A, C, D)) ) ) )  => k3_msualg_3(A, B, C, D, E, F)=k8_pboole(E, F)) ) ).
fof(dt_k4_msualg_3, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  & m2_pboole(D, A, B, C)) )  => m2_pboole(k4_msualg_3(A, B, C, D), A, C, B)) ) ).
fof(dt_k5_msualg_3, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (l3_msualg_1(B, A) &  (l3_msualg_1(C, A) &  (m1_subset_1(D, u4_struct_0(A)) &  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) & m1_subset_1(F, k3_msualg_1(A, D, B))) ) ) ) )  => m1_subset_1(k5_msualg_3(A, B, C, D, E, F), k3_msualg_1(A, D, C))) ) ).
fof(reflexivity_r6_msualg_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (l3_msualg_1(B, A) & l3_msualg_1(C, A)) )  => r6_msualg_3(A, B, B)) ) ).
fof(redefinition_r6_msualg_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (l3_msualg_1(B, A) & l3_msualg_1(C, A)) )  =>  (r6_msualg_3(A, B, C) <=> r5_msualg_3(A, B, C)) ) ) ).
fof(dt_k6_msualg_3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  & m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C))) ) )  =>  (v3_msualg_1(k6_msualg_3(A, B, C, D), A) &  (v4_msualg_1(k6_msualg_3(A, B, C, D), A) & m1_msualg_2(k6_msualg_3(A, B, C, D), A, C)) ) ) ) ).
fof(rc1_msualg_4, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v2_funcop_1(B)) ) ) ) ) ) ).
fof(cc1_msualg_4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  (m1_msualg_4(D, A, B, C) => v2_funcop_1(D)) ) ) ) ).
fof(rc2_msualg_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  & l3_msualg_1(B, A))  =>  (? [C] :  (m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) &  (v2_funcop_1(C) & v2_msualg_4(C, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(rc3_msualg_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  (? [C] :  (m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) &  (v2_funcop_1(C) &  (v2_msualg_4(C, A, B) & v3_msualg_4(C, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_msualg_4, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_finseq_1(B, A) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) ) )  =>  (v1_relat_1(k3_relat_1(B, C)) &  (v4_relat_1(k3_relat_1(B, C), k4_finseq_1(B)) & v1_funct_1(k3_relat_1(B, C))) ) ) ) ).
fof(fc2_msualg_4, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_finseq_1(B, A) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) ) )  =>  (v1_relat_1(k3_relat_1(B, C)) &  (v4_relat_1(k3_relat_1(B, C), k4_finseq_1(B)) &  (v1_funct_1(k3_relat_1(B, C)) & v1_partfun1(k3_relat_1(B, C), k4_finseq_1(B))) ) ) ) ) ).
fof(fc3_msualg_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) ) ) )  =>  (v3_msualg_1(k13_msualg_4(A, B, C), A) & v4_msualg_1(k13_msualg_4(A, B, C), A)) ) ) ).
fof(d1_msualg_4, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (m1_msualg_4(D, A, B, C) <=>  (! [E] :  (r2_tarski(E, A) => m1_subset_1(k1_funct_1(D, E), k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(B, E), k1_funct_1(C, E))))) ) ) ) ) ) ) ) ) ) ).
fof(d2_msualg_4, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_msualg_4(C, A, B, B) =>  (v1_msualg_4(C, A, B) <=>  (! [D] :  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(B, D), k1_funct_1(B, D)))) =>  ( (r2_tarski(D, A) & k1_funct_1(C, D)=E)  =>  (v3_relat_2(E) &  (v8_relat_2(E) &  (v1_partfun1(E, k1_funct_1(B, D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(B, D), k1_funct_1(B, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_msualg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)) =>  (v2_msualg_4(C, A, B) <=> v1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B))) ) ) ) ) ) ) ).
fof(t1_msualg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v2_msualg_4(D, A, B) & m1_msualg_4(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)))  =>  (v3_relat_2(k1_msualg_4(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), D, C)) &  (v8_relat_2(k1_msualg_4(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), D, C)) &  (v1_partfun1(k1_msualg_4(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), D, C), k1_funct_1(u3_msualg_1(A, B), C)) & m1_subset_1(k1_msualg_4(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), D, C), k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A, B), C), k1_funct_1(u3_msualg_1(A, B), C))))) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_msualg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v2_msualg_4(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)))  =>  (v3_msualg_4(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k3_msualg_1(A, D, B)) =>  (! [F] :  (m1_subset_1(F, k3_msualg_1(A, D, B)) =>  ( (! [G] :  (v7_ordinal1(G) =>  (r2_tarski(G, k9_xtuple_0(E)) => r2_hidden(k4_tarski(k1_funct_1(E, G), k1_funct_1(F, G)), k1_msualg_4(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), C, k7_partfun1(u1_struct_0(A), k1_msualg_1(A, D), G)))) ) )  => r2_hidden(k4_tarski(k3_funct_2(k3_msualg_1(A, D, B), k4_msualg_1(A, D, B), k5_msualg_1(A, D, B), E), k3_funct_2(k3_msualg_1(A, D, B), k4_msualg_1(A, D, B), k5_msualg_1(A, D, B), F)), k1_msualg_4(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), C, k2_msualg_1(A, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_msualg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  ( (v2_msualg_4(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, B), D)) => k3_msualg_4(A, B, C, D, E)=k6_eqrel_1(k1_funct_1(u3_msualg_1(A, B), D), k1_funct_1(u3_msualg_1(A, B), D), k2_msualg_4(A, B, C, D), E)) ) ) ) ) ) ) ) ) ) ).
fof(d6_msualg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) & v1_partfun1(D, u1_struct_0(A))) ) ) )  =>  (D=k4_msualg_4(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k1_funct_1(D, E)=k8_eqrel_1(k1_funct_1(u3_msualg_1(A, B), E), k2_msualg_4(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_msualg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  ( (v2_msualg_4(D, A, C) &  (v3_msualg_4(D, A, C) & m1_msualg_4(D, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, C))) )  =>  (! [E] :  (m1_subset_1(E, k3_msualg_1(A, B, C)) =>  (! [F] :  (m1_subset_1(F, k4_card_3(k3_relat_1(k1_msualg_1(A, B), k4_msualg_4(A, C, D)))) =>  (F=k6_msualg_4(A, B, C, D, E) <=>  (! [G] :  (v7_ordinal1(G) =>  (r2_tarski(G, k4_finseq_1(k1_msualg_1(A, B))) => k1_funct_1(F, G)=k6_eqrel_1(k1_funct_1(u3_msualg_1(A, C), k7_partfun1(u1_struct_0(A), k1_msualg_1(A, B), G)), k1_funct_1(u3_msualg_1(A, C), k7_partfun1(u1_struct_0(A), k1_msualg_1(A, B), G)), k2_msualg_4(A, C, D, k7_partfun1(u1_struct_0(A), k1_msualg_1(A, B), G)), k1_funct_1(E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_msualg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  ( (v2_msualg_4(D, A, C) &  (v3_msualg_4(D, A, C) & m1_msualg_4(D, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, C))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_funct_1(k3_relat_1(u2_msualg_1(A), u3_msualg_1(A, C)), B), k1_funct_1(k3_relat_1(u2_msualg_1(A), k4_msualg_4(A, C, D)), B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k3_relat_1(u2_msualg_1(A), u3_msualg_1(A, C)), B), k1_funct_1(k3_relat_1(u2_msualg_1(A), k4_msualg_4(A, C, D)), B))))) )  =>  (E=k7_msualg_4(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, C), k2_msualg_1(A, B))) => k1_funct_1(E, F)=k3_msualg_4(A, C, D, k2_msualg_1(A, B), F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_msualg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  ( (v2_msualg_4(D, A, C) &  (v3_msualg_4(D, A, C) & m1_msualg_4(D, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, C))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, C))), B), k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k4_msualg_4(A, C, D))), B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, C))), B), k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k4_msualg_4(A, C, D))), B))))) )  =>  (E=k8_msualg_4(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, k3_msualg_1(A, B, C)) => k1_funct_1(E, F)=k6_msualg_4(A, B, C, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_msualg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  =>  (! [D] :  (m2_pboole(D, u4_struct_0(A), k3_relat_1(u2_msualg_1(A), u3_msualg_1(A, B)), k3_relat_1(u2_msualg_1(A), k4_msualg_4(A, B, C))) =>  (D=k9_msualg_4(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) => r2_funct_2(k1_funct_1(k3_relat_1(u2_msualg_1(A), u3_msualg_1(A, B)), E), k1_funct_1(k3_relat_1(u2_msualg_1(A), k4_msualg_4(A, B, C)), E), k5_msualg_4(A, k3_relat_1(u2_msualg_1(A), u3_msualg_1(A, B)), k3_relat_1(u2_msualg_1(A), k4_msualg_4(A, B, C)), D, E), k7_msualg_4(A, E, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_msualg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  =>  (! [D] :  (m2_pboole(D, u4_struct_0(A), k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, B))), k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k4_msualg_4(A, B, C)))) =>  (D=k10_msualg_4(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) => r2_funct_2(k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, B))), E), k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k4_msualg_4(A, B, C))), E), k5_msualg_4(A, k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, B))), k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k4_msualg_4(A, B, C))), D, E), k8_msualg_4(A, E, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_msualg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  ( (v2_msualg_4(D, A, C) &  (v3_msualg_4(D, A, C) & m1_msualg_4(D, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, C))) )  =>  (! [E] :  ~ ( (r2_tarski(E, k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k4_msualg_4(A, C, D))), B)) &  (! [F] :  (m1_subset_1(F, k3_msualg_1(A, B, C)) =>  ~ (E=k6_msualg_4(A, B, C, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_msualg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  ( (v2_msualg_4(D, A, C) &  (v3_msualg_4(D, A, C) & m1_msualg_4(D, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, C))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k4_msualg_4(A, C, D))), B), k1_funct_1(k3_relat_1(u2_msualg_1(A), k4_msualg_4(A, C, D)), B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k4_msualg_4(A, C, D))), B), k1_funct_1(k3_relat_1(u2_msualg_1(A), k4_msualg_4(A, C, D)), B))))) )  =>  (E=k11_msualg_4(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, k3_msualg_1(A, B, C)) =>  (r2_tarski(k6_msualg_4(A, B, C, D, F), k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k4_msualg_4(A, C, D))), B)) => k1_funct_1(E, k6_msualg_4(A, B, C, D, F))=k1_funct_1(k1_partfun1(k3_msualg_1(A, B, C), k4_msualg_1(A, B, C), k1_funct_1(k3_relat_1(u2_msualg_1(A), u3_msualg_1(A, C)), B), k1_funct_1(k3_relat_1(u2_msualg_1(A), k4_msualg_4(A, C, D)), B), k5_msualg_1(A, B, C), k7_msualg_4(A, B, C, D)), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_msualg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  =>  (! [D] :  (m2_pboole(D, u4_struct_0(A), k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k4_msualg_4(A, B, C))), k3_relat_1(u2_msualg_1(A), k4_msualg_4(A, B, C))) =>  (D=k12_msualg_4(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) => r2_funct_2(k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k4_msualg_4(A, B, C))), E), k1_funct_1(k3_relat_1(u2_msualg_1(A), k4_msualg_4(A, B, C)), E), k5_msualg_4(A, k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k4_msualg_4(A, B, C))), k3_relat_1(u2_msualg_1(A), k4_msualg_4(A, B, C)), D, E), k11_msualg_4(A, E, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_msualg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  => k13_msualg_4(A, B, C)=g3_msualg_1(A, k4_msualg_4(A, B, C), k12_msualg_4(A, B, C))) ) ) ) ) ) ).
fof(d15_msualg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_funct_1(u3_msualg_1(A, B), D), k1_funct_1(k4_msualg_4(A, B, C), D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A, B), D), k1_funct_1(k4_msualg_4(A, B, C), D))))) )  =>  (E=k14_msualg_4(A, B, C, D) <=>  (! [F] :  (r2_tarski(F, k1_funct_1(u3_msualg_1(A, B), D)) => k1_funct_1(E, F)=k6_eqrel_1(k1_funct_1(u3_msualg_1(A, B), D), k1_funct_1(u3_msualg_1(A, B), D), k2_msualg_4(A, B, C, D), F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_msualg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, k13_msualg_4(A, B, C))) =>  (D=k15_msualg_4(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => r1_funct_2(k1_funct_1(u3_msualg_1(A, B), E), k1_funct_1(u3_msualg_1(A, k13_msualg_4(A, B, C)), E), k1_funct_1(u3_msualg_1(A, B), E), k1_funct_1(k4_msualg_4(A, B, C), E), k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, k13_msualg_4(A, B, C)), D, E), k14_msualg_4(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_msualg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  => r2_msualg_3(A, B, k13_msualg_4(A, B, C), k15_msualg_4(A, B, C))) ) ) ) ) ) ).
fof(d17_msualg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  ( (v3_relat_2(F) &  (v8_relat_2(F) &  (v1_partfun1(F, k1_funct_1(u3_msualg_1(A, B), E)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A, B), E), k1_funct_1(u3_msualg_1(A, B), E))))) ) )  =>  (F=k16_msualg_4(A, B, C, D, E) <=>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, B), E)) =>  (! [H] :  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, B), E)) =>  (r2_hidden(k4_tarski(G, H), F) <=> k3_funct_2(k1_funct_1(u3_msualg_1(A, B), E), k1_funct_1(u3_msualg_1(A, C), E), k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C), D, E), G)=k3_funct_2(k1_funct_1(u3_msualg_1(A, B), E), k1_funct_1(u3_msualg_1(A, C), E), k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C), D, E), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_msualg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (r1_msualg_3(A, B, C, D) =>  (! [E] :  ( (v2_msualg_4(E, A, B) &  (v3_msualg_4(E, A, B) & m1_msualg_4(E, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  =>  (E=k17_msualg_4(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => r2_relset_1(k1_funct_1(u3_msualg_1(A, B), F), k1_funct_1(u3_msualg_1(A, B), F), k2_msualg_4(A, B, E, F), k16_msualg_4(A, B, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_msualg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_msualg_3(A, B, C, D) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k1_funct_1(u3_msualg_1(A, k13_msualg_4(A, B, k17_msualg_4(A, B, C, D))), E), k1_funct_1(u3_msualg_1(A, C), E)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A, k13_msualg_4(A, B, k17_msualg_4(A, B, C, D))), E), k1_funct_1(u3_msualg_1(A, C), E))))) )  =>  (F=k18_msualg_4(A, B, C, D, E) <=>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, B), E)) => k1_funct_1(F, k6_eqrel_1(k1_funct_1(u3_msualg_1(A, B), E), k1_funct_1(u3_msualg_1(A, B), E), k16_msualg_4(A, B, C, D, E), G))=k3_funct_2(k1_funct_1(u3_msualg_1(A, B), E), k1_funct_1(u3_msualg_1(A, C), E), k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C), D, E), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d20_msualg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, k13_msualg_4(A, B, k17_msualg_4(A, B, C, D))), u3_msualg_1(A, C)) =>  (E=k19_msualg_4(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => r2_funct_2(k1_funct_1(u3_msualg_1(A, k13_msualg_4(A, B, k17_msualg_4(A, B, C, D))), F), k1_funct_1(u3_msualg_1(A, C), F), k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, k13_msualg_4(A, B, k17_msualg_4(A, B, C, D))), u3_msualg_1(A, C), E, F), k18_msualg_4(A, B, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_msualg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (r1_msualg_3(A, B, C, D) => r3_msualg_3(A, k13_msualg_4(A, B, k17_msualg_4(A, B, C, D)), C, k19_msualg_4(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t5_msualg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (r2_msualg_3(A, B, C, D) => r4_msualg_3(A, k13_msualg_4(A, B, k17_msualg_4(A, B, C, D)), C, k19_msualg_4(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t6_msualg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (r2_msualg_3(A, B, C, D) => r6_msualg_3(A, k13_msualg_4(A, B, k17_msualg_4(A, B, C, D)), C)) ) ) ) ) ) ) ) ) ).
fof(dt_m1_msualg_4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  (m1_msualg_4(D, A, B, C) =>  (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) ) ) ) ) ) ).
fof(existence_m1_msualg_4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (? [D] : m1_msualg_4(D, A, B, C)) ) ) ).
fof(dt_k1_msualg_4, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  &  (m1_msualg_4(D, A, B, C) & m1_subset_1(E, A)) ) ) )  => m1_subset_1(k1_msualg_4(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(B, E), k1_funct_1(C, E))))) ) ).
fof(redefinition_k1_msualg_4, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  &  (m1_msualg_4(D, A, B, C) & m1_subset_1(E, A)) ) ) )  => k1_msualg_4(A, B, C, D, E)=k1_funct_1(D, E)) ) ).
fof(dt_k2_msualg_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (l3_msualg_1(B, A) &  ( (v2_msualg_4(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)))  & m1_subset_1(D, u1_struct_0(A))) ) )  =>  (v3_relat_2(k2_msualg_4(A, B, C, D)) &  (v8_relat_2(k2_msualg_4(A, B, C, D)) &  (v1_partfun1(k2_msualg_4(A, B, C, D), k1_funct_1(u3_msualg_1(A, B), D)) & m1_subset_1(k2_msualg_4(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A, B), D), k1_funct_1(u3_msualg_1(A, B), D))))) ) ) ) ) ).
fof(redefinition_k2_msualg_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (l3_msualg_1(B, A) &  ( (v2_msualg_4(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)))  & m1_subset_1(D, u1_struct_0(A))) ) )  => k2_msualg_4(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(dt_k3_msualg_4, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (l3_msualg_1(B, A) &  ( (v2_msualg_4(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)))  &  (m1_subset_1(D, u1_struct_0(A)) & m1_subset_1(E, k1_funct_1(u3_msualg_1(A, B), D))) ) ) )  => m1_subset_1(k3_msualg_4(A, B, C, D, E), k1_zfmisc_1(k1_funct_1(u3_msualg_1(A, B), D)))) ) ).
fof(dt_k4_msualg_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) ) ) )  =>  (v1_relat_1(k4_msualg_4(A, B, C)) &  (v2_relat_1(k4_msualg_4(A, B, C)) &  (v4_relat_1(k4_msualg_4(A, B, C), u1_struct_0(A)) &  (v1_funct_1(k4_msualg_4(A, B, C)) & v1_partfun1(k4_msualg_4(A, B, C), u1_struct_0(A))) ) ) ) ) ) ).
fof(dt_k5_msualg_4, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, u4_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u4_struct_0(A))) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, u4_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u4_struct_0(A))) ) )  &  (m2_pboole(D, u4_struct_0(A), B, C) & m1_subset_1(E, u4_struct_0(A))) ) ) )  =>  (v1_funct_1(k5_msualg_4(A, B, C, D, E)) &  (v1_funct_2(k5_msualg_4(A, B, C, D, E), k1_funct_1(B, E), k1_funct_1(C, E)) & m1_subset_1(k5_msualg_4(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(B, E), k1_funct_1(C, E))))) ) ) ) ).
fof(redefinition_k5_msualg_4, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, u4_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u4_struct_0(A))) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, u4_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u4_struct_0(A))) ) )  &  (m2_pboole(D, u4_struct_0(A), B, C) & m1_subset_1(E, u4_struct_0(A))) ) ) )  => k5_msualg_4(A, B, C, D, E)=k1_funct_1(D, E)) ) ).
fof(dt_k6_msualg_4, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (m1_subset_1(B, u4_struct_0(A)) &  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  &  ( (v2_msualg_4(D, A, C) &  (v3_msualg_4(D, A, C) & m1_msualg_4(D, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, C))) )  & m1_subset_1(E, k3_msualg_1(A, B, C))) ) ) )  => m1_subset_1(k6_msualg_4(A, B, C, D, E), k4_card_3(k3_relat_1(k1_msualg_1(A, B), k4_msualg_4(A, C, D))))) ) ).
fof(dt_k7_msualg_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (m1_subset_1(B, u4_struct_0(A)) &  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  &  (v2_msualg_4(D, A, C) &  (v3_msualg_4(D, A, C) & m1_msualg_4(D, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, C))) ) ) ) )  =>  (v1_funct_1(k7_msualg_4(A, B, C, D)) &  (v1_funct_2(k7_msualg_4(A, B, C, D), k1_funct_1(k3_relat_1(u2_msualg_1(A), u3_msualg_1(A, C)), B), k1_funct_1(k3_relat_1(u2_msualg_1(A), k4_msualg_4(A, C, D)), B)) & m1_subset_1(k7_msualg_4(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k3_relat_1(u2_msualg_1(A), u3_msualg_1(A, C)), B), k1_funct_1(k3_relat_1(u2_msualg_1(A), k4_msualg_4(A, C, D)), B))))) ) ) ) ).
fof(dt_k8_msualg_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (m1_subset_1(B, u4_struct_0(A)) &  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  &  (v2_msualg_4(D, A, C) &  (v3_msualg_4(D, A, C) & m1_msualg_4(D, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, C))) ) ) ) )  =>  (v1_funct_1(k8_msualg_4(A, B, C, D)) &  (v1_funct_2(k8_msualg_4(A, B, C, D), k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, C))), B), k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k4_msualg_4(A, C, D))), B)) & m1_subset_1(k8_msualg_4(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, C))), B), k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k4_msualg_4(A, C, D))), B))))) ) ) ) ).
fof(dt_k9_msualg_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) ) ) )  => m2_pboole(k9_msualg_4(A, B, C), u4_struct_0(A), k3_relat_1(u2_msualg_1(A), u3_msualg_1(A, B)), k3_relat_1(u2_msualg_1(A), k4_msualg_4(A, B, C)))) ) ).
fof(dt_k10_msualg_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) ) ) )  => m2_pboole(k10_msualg_4(A, B, C), u4_struct_0(A), k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, B))), k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k4_msualg_4(A, B, C))))) ) ).
fof(dt_k11_msualg_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (m1_subset_1(B, u4_struct_0(A)) &  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  &  (v2_msualg_4(D, A, C) &  (v3_msualg_4(D, A, C) & m1_msualg_4(D, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, C))) ) ) ) )  =>  (v1_funct_1(k11_msualg_4(A, B, C, D)) &  (v1_funct_2(k11_msualg_4(A, B, C, D), k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k4_msualg_4(A, C, D))), B), k1_funct_1(k3_relat_1(u2_msualg_1(A), k4_msualg_4(A, C, D)), B)) & m1_subset_1(k11_msualg_4(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k4_msualg_4(A, C, D))), B), k1_funct_1(k3_relat_1(u2_msualg_1(A), k4_msualg_4(A, C, D)), B))))) ) ) ) ).
fof(dt_k12_msualg_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) ) ) )  => m2_pboole(k12_msualg_4(A, B, C), u4_struct_0(A), k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k4_msualg_4(A, B, C))), k3_relat_1(u2_msualg_1(A), k4_msualg_4(A, B, C)))) ) ).
fof(dt_k13_msualg_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) ) ) )  => l3_msualg_1(k13_msualg_4(A, B, C), A)) ) ).
fof(dt_k14_msualg_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  & m1_subset_1(D, u1_struct_0(A))) ) )  =>  (v1_funct_1(k14_msualg_4(A, B, C, D)) &  (v1_funct_2(k14_msualg_4(A, B, C, D), k1_funct_1(u3_msualg_1(A, B), D), k1_funct_1(k4_msualg_4(A, B, C), D)) & m1_subset_1(k14_msualg_4(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A, B), D), k1_funct_1(k4_msualg_4(A, B, C), D))))) ) ) ) ).
fof(dt_k15_msualg_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) ) ) )  => m2_pboole(k15_msualg_4(A, B, C), u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, k13_msualg_4(A, B, C)))) ) ).
fof(dt_k16_msualg_4, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  &  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) & m1_subset_1(E, u1_struct_0(A))) ) ) )  =>  (v3_relat_2(k16_msualg_4(A, B, C, D, E)) &  (v8_relat_2(k16_msualg_4(A, B, C, D, E)) &  (v1_partfun1(k16_msualg_4(A, B, C, D, E), k1_funct_1(u3_msualg_1(A, B), E)) & m1_subset_1(k16_msualg_4(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A, B), E), k1_funct_1(u3_msualg_1(A, B), E))))) ) ) ) ) ).
fof(dt_k17_msualg_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  & m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C))) ) )  =>  (v2_msualg_4(k17_msualg_4(A, B, C, D), A, B) &  (v3_msualg_4(k17_msualg_4(A, B, C, D), A, B) & m1_msualg_4(k17_msualg_4(A, B, C, D), u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) ) ) ) ).
fof(dt_k18_msualg_4, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  &  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) & m1_subset_1(E, u1_struct_0(A))) ) ) )  =>  (v1_funct_1(k18_msualg_4(A, B, C, D, E)) &  (v1_funct_2(k18_msualg_4(A, B, C, D, E), k1_funct_1(u3_msualg_1(A, k13_msualg_4(A, B, k17_msualg_4(A, B, C, D))), E), k1_funct_1(u3_msualg_1(A, C), E)) & m1_subset_1(k18_msualg_4(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A, k13_msualg_4(A, B, k17_msualg_4(A, B, C, D))), E), k1_funct_1(u3_msualg_1(A, C), E))))) ) ) ) ).
fof(dt_k19_msualg_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  & m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C))) ) )  => m2_pboole(k19_msualg_4(A, B, C, D), u1_struct_0(A), u3_msualg_1(A, k13_msualg_4(A, B, k17_msualg_4(A, B, C, D))), u3_msualg_1(A, C))) ) ).
fof(rc1_msualg_5, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (? [C] :  (m1_msualg_4(C, A, B, B) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v2_funcop_1(C) & v1_msualg_4(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(cc1_msualg_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  & l3_msualg_1(B, A))  =>  (! [C] :  (m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)) =>  (v2_msualg_4(C, A, B) => v1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B))) ) ) ) ) ).
fof(fc1_msualg_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  (v3_lattices(k6_msualg_5(A, B)) & v15_lattices(k6_msualg_5(A, B))) ) ) ).
fof(d1_msualg_5, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  ( (v1_partfun1(C, A) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (C=k1_msualg_5(A, B) <=>  (r1_relset_1(A, A, B, C) &  (! [D] :  ( (v1_partfun1(D, A) &  (v3_relat_2(D) &  (v8_relat_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (r1_relset_1(A, A, B, D) => r1_relset_1(A, A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t1_msualg_5, axiom,  (! [A] :  (! [B] :  ( (v1_partfun1(B, A) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  ( (v1_partfun1(C, A) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  => r2_relset_1(A, A, k5_eqrel_1(A, B, C), k1_msualg_5(A, k3_eqrel_1(A, B, C)))) ) ) ) ) ).
fof(t2_msualg_5, axiom,  (! [A] :  (! [B] :  ( (v1_partfun1(B, A) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  => r2_relset_1(A, A, k1_msualg_5(A, B), B)) ) ) ).
fof(d3_msualg_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_msualg_4(C, A, B, B) =>  (! [D] :  ( (v1_msualg_4(D, A, B) & m1_msualg_4(D, A, B, B))  =>  (D=k3_msualg_5(A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) => r2_relset_1(k1_funct_1(B, E), k1_funct_1(B, E), k1_msualg_4(A, B, B, D, E), k1_msualg_5(k1_funct_1(B, E), k1_msualg_4(A, B, B, C, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_msualg_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_msualg_4(C, A, B) & m1_msualg_4(C, A, B, B))  => r8_pboole(A, k3_msualg_5(A, B, C), C)) ) ) ) ) ) ).
fof(d4_msualg_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_msualg_4(C, A, B) & m1_msualg_4(C, A, B, B))  =>  (! [D] :  ( (v1_msualg_4(D, A, B) & m1_msualg_4(D, A, B, B))  =>  (! [E] :  ( (v1_msualg_4(E, A, B) & m1_msualg_4(E, A, B, B))  =>  (E=k4_msualg_5(A, B, C, D) <=>  (? [F] :  (m1_msualg_4(F, A, B, B) &  (r8_pboole(A, F, k2_pboole(A, C, D)) & r8_pboole(A, E, k3_msualg_5(A, B, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_msualg_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_msualg_4(C, A, B) & m1_msualg_4(C, A, B, B))  =>  (! [D] :  ( (v1_msualg_4(D, A, B) & m1_msualg_4(D, A, B, B))  => r2_pboole(A, k2_pboole(A, C, D), k4_msualg_5(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t5_msualg_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_msualg_4(C, A, B) & m1_msualg_4(C, A, B, B))  =>  (! [D] :  ( (v1_msualg_4(D, A, B) & m1_msualg_4(D, A, B, B))  =>  (! [E] :  ( (v1_msualg_4(E, A, B) & m1_msualg_4(E, A, B, B))  =>  (r2_pboole(A, k2_pboole(A, C, D), E) => r2_pboole(A, k4_msualg_5(A, B, C, D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_msualg_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_msualg_4(C, A, B) & m1_msualg_4(C, A, B, B))  =>  (! [D] :  ( (v1_msualg_4(D, A, B) & m1_msualg_4(D, A, B, B))  =>  (! [E] :  ( (v1_msualg_4(E, A, B) & m1_msualg_4(E, A, B, B))  =>  ( (r2_pboole(A, k2_pboole(A, C, D), E) &  (! [F] :  ( (v1_msualg_4(F, A, B) & m1_msualg_4(F, A, B, B))  =>  (r2_pboole(A, k2_pboole(A, C, D), F) => r2_pboole(A, E, F)) ) ) )  => r8_pboole(A, E, k4_msualg_5(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_msualg_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_msualg_4(C, A, B) & m1_msualg_4(C, A, B, B))  => r8_pboole(A, k4_msualg_5(A, B, C, C), C)) ) ) ) ) ) ).
fof(t8_msualg_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_msualg_4(C, A, B) & m1_msualg_4(C, A, B, B))  =>  (! [D] :  ( (v1_msualg_4(D, A, B) & m1_msualg_4(D, A, B, B))  =>  (! [E] :  ( (v1_msualg_4(E, A, B) & m1_msualg_4(E, A, B, B))  => r8_pboole(A, k4_msualg_5(A, B, k4_msualg_5(A, B, C, D), E), k4_msualg_5(A, B, C, k4_msualg_5(A, B, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t9_msualg_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_msualg_4(C, A, B) & m1_msualg_4(C, A, B, B))  =>  (! [D] :  ( (v1_msualg_4(D, A, B) & m1_msualg_4(D, A, B, B))  => r8_pboole(A, k3_pboole(A, C, k4_msualg_5(A, B, C, D)), C)) ) ) ) ) ) ) ) ).
fof(t10_msualg_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_msualg_4(C, A, B) & m1_msualg_4(C, A, B, B))  =>  (! [D] :  ( (v1_msualg_4(D, A, B) & m1_msualg_4(D, A, B, B))  =>  (! [E] :  ( (v1_msualg_4(E, A, B) & m1_msualg_4(E, A, B, B))  =>  (r8_pboole(A, E, k3_pboole(A, C, D)) => r8_pboole(A, k4_msualg_5(A, B, C, E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_msualg_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_msualg_4(C, A, B) & m1_msualg_4(C, A, B, B))  =>  (! [D] :  ( (v1_msualg_4(D, A, B) & m1_msualg_4(D, A, B, B))  =>  (v1_msualg_4(k3_pboole(A, C, D), A, B) & m1_msualg_4(k3_pboole(A, C, D), A, B, B)) ) ) ) ) ) ) ) ) ).
fof(d5_msualg_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v3_lattices(C) &  (v10_lattices(C) & l3_lattices(C)) ) )  =>  (C=k5_msualg_5(A, B) <=>  ( (! [D] :  (r2_tarski(D, u1_struct_0(C)) <=>  (v1_msualg_4(D, A, B) & m1_msualg_4(D, A, B, B)) ) )  &  (! [D] :  ( (v1_msualg_4(D, A, B) & m1_msualg_4(D, A, B, B))  =>  (! [E] :  ( (v1_msualg_4(E, A, B) & m1_msualg_4(E, A, B, B))  =>  (k1_binop_1(u1_lattices(C), D, E)=k3_pboole(A, D, E) & k1_binop_1(u2_lattices(C), D, E)=k4_msualg_5(A, B, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_msualg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  ( (v2_msualg_4(D, A, B) &  (v3_msualg_4(D, A, B) & m1_msualg_4(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  =>  (! [E] :  ( (v2_msualg_4(E, A, B) &  (v3_msualg_4(E, A, B) & m1_msualg_4(E, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  =>  (! [F] :  (! [G] :  (! [H] :  ( (v1_relat_1(H) &  (v1_funct_1(H) & v1_finseq_1(H)) )  =>  (! [I] :  ( (v1_relat_1(I) &  (v1_funct_1(I) & v1_finseq_1(I)) )  =>  (r2_hidden(k4_tarski(F, G), k3_eqrel_1(k1_funct_1(u3_msualg_1(A, B), k7_partfun1(u1_struct_0(A), k1_msualg_1(A, C), k1_nat_1(k3_finseq_1(H), 1))), k2_msualg_4(A, B, D, k7_partfun1(u1_struct_0(A), k1_msualg_1(A, C), k1_nat_1(k3_finseq_1(H), 1))), k2_msualg_4(A, B, E, k7_partfun1(u1_struct_0(A), k1_msualg_1(A, C), k1_nat_1(k3_finseq_1(H), 1))))) =>  (! [J] :  (m1_subset_1(J, k3_msualg_1(A, C, B)) =>  (! [K] :  (m1_subset_1(K, k3_msualg_1(A, C, B)) =>  ( (J=k7_finseq_1(k7_finseq_1(H, k9_finseq_1(F)), I) & K=k7_finseq_1(k7_finseq_1(H, k9_finseq_1(G)), I))  => r2_hidden(k4_tarski(k3_funct_2(k3_msualg_1(A, C, B), k4_msualg_1(A, C, B), k5_msualg_1(A, C, B), J), k3_funct_2(k3_msualg_1(A, C, B), k4_msualg_1(A, C, B), k5_msualg_1(A, C, B), K)), k3_eqrel_1(k1_funct_1(u3_msualg_1(A, B), k2_msualg_1(A, C)), k2_msualg_4(A, B, D, k2_msualg_1(A, C)), k2_msualg_4(A, B, E, k2_msualg_1(A, C))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_msualg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  ( (v2_msualg_4(D, A, B) &  (v3_msualg_4(D, A, B) & m1_msualg_4(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  =>  (! [E] :  ( (v2_msualg_4(E, A, B) &  (v3_msualg_4(E, A, B) & m1_msualg_4(E, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  =>  (! [F] :  ( (v2_msualg_4(F, A, B) & m1_msualg_4(F, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)))  =>  (r8_pboole(u1_struct_0(A), F, k4_msualg_5(u1_struct_0(A), u3_msualg_1(A, B), D, E)) =>  (! [G] :  (! [H] :  (! [I] :  (m1_subset_1(I, k4_ordinal1) =>  (! [J] :  ( (v1_relat_1(J) &  (v1_funct_1(J) & v1_finseq_1(J)) )  =>  (! [K] :  ( (v1_relat_1(K) &  (v1_funct_1(K) & v1_finseq_1(K)) )  =>  (! [L] :  ( (v1_relat_1(L) &  (v1_funct_1(L) & v1_finseq_1(L)) )  =>  ( (k3_finseq_1(J)=I &  (k3_finseq_1(J)=k3_finseq_1(K) &  ( (! [M] :  (m1_subset_1(M, k4_ordinal1) =>  (r2_tarski(M, k4_finseq_1(J)) => r2_hidden(k4_tarski(k1_funct_1(J, M), k1_funct_1(K, M)), k2_msualg_4(A, B, F, k7_partfun1(u1_struct_0(A), k1_msualg_1(A, C), M)))) ) )  &  (r2_hidden(k4_tarski(k1_funct_1(k5_msualg_1(A, C, B), k7_finseq_1(k7_finseq_1(J, k9_finseq_1(G)), L)), k1_funct_1(k5_msualg_1(A, C, B), k7_finseq_1(k7_finseq_1(K, k9_finseq_1(G)), L))), k2_msualg_4(A, B, F, k2_msualg_1(A, C))) & r2_hidden(k4_tarski(G, H), k2_msualg_4(A, B, F, k7_partfun1(u1_struct_0(A), k1_msualg_1(A, C), k1_nat_1(I, 1))))) ) ) )  =>  (! [M] :  (m1_subset_1(M, k3_msualg_1(A, C, B)) =>  (M=k7_finseq_1(k7_finseq_1(J, k9_finseq_1(G)), L) => r2_hidden(k4_tarski(k3_funct_2(k3_msualg_1(A, C, B), k4_msualg_1(A, C, B), k5_msualg_1(A, C, B), M), k1_funct_1(k5_msualg_1(A, C, B), k7_finseq_1(k7_finseq_1(K, k9_finseq_1(H)), L))), k2_msualg_4(A, B, F, k2_msualg_1(A, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_msualg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  ( (v2_msualg_4(D, A, B) &  (v3_msualg_4(D, A, B) & m1_msualg_4(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  =>  (! [E] :  ( (v2_msualg_4(E, A, B) &  (v3_msualg_4(E, A, B) & m1_msualg_4(E, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  =>  (! [F] :  ( (v2_msualg_4(F, A, B) & m1_msualg_4(F, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)))  =>  (r8_pboole(u1_struct_0(A), F, k4_msualg_5(u1_struct_0(A), u3_msualg_1(A, B), D, E)) =>  (! [G] :  (m1_subset_1(G, k3_msualg_1(A, C, B)) =>  (! [H] :  (m1_subset_1(H, k3_msualg_1(A, C, B)) =>  ( (! [I] :  (v7_ordinal1(I) =>  (r2_tarski(I, k9_xtuple_0(G)) => r2_hidden(k4_tarski(k1_funct_1(G, I), k1_funct_1(H, I)), k2_msualg_4(A, B, F, k7_partfun1(u1_struct_0(A), k1_msualg_1(A, C), I)))) ) )  => r2_hidden(k4_tarski(k3_funct_2(k3_msualg_1(A, C, B), k4_msualg_1(A, C, B), k5_msualg_1(A, C, B), G), k3_funct_2(k3_msualg_1(A, C, B), k4_msualg_1(A, C, B), k5_msualg_1(A, C, B), H)), k2_msualg_4(A, B, F, k2_msualg_1(A, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_msualg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  =>  (! [D] :  ( (v2_msualg_4(D, A, B) &  (v3_msualg_4(D, A, B) & m1_msualg_4(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  =>  (v2_msualg_4(k4_msualg_5(u1_struct_0(A), u3_msualg_1(A, B), C, D), A, B) &  (v3_msualg_4(k4_msualg_5(u1_struct_0(A), u3_msualg_1(A, B), C, D), A, B) & m1_msualg_4(k4_msualg_5(u1_struct_0(A), u3_msualg_1(A, B), C, D), u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(t16_msualg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  =>  (! [D] :  ( (v2_msualg_4(D, A, B) &  (v3_msualg_4(D, A, B) & m1_msualg_4(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  =>  (v2_msualg_4(k3_pboole(u1_struct_0(A), C, D), A, B) &  (v3_msualg_4(k3_pboole(u1_struct_0(A), C, D), A, B) & m1_msualg_4(k3_pboole(u1_struct_0(A), C, D), u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(d6_msualg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v3_lattices(C) & m2_nat_lat(C, k5_msualg_5(u1_struct_0(A), u3_msualg_1(A, B))))  =>  (C=k6_msualg_5(A, B) <=>  (! [D] :  (r2_tarski(D, u1_struct_0(C)) <=>  (v2_msualg_4(D, A, B) &  (v3_msualg_4(D, A, B) & m1_msualg_4(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_msualg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (v2_msualg_4(k2_msualg_3(u1_struct_0(A), u3_msualg_1(A, B)), A, B) &  (v3_msualg_4(k2_msualg_3(u1_struct_0(A), u3_msualg_1(A, B)), A, B) & m1_msualg_4(k2_msualg_3(u1_struct_0(A), u3_msualg_1(A, B)), u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) ) ) ) ) ) ).
fof(t18_msualg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (v2_msualg_4(k6_pboole(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)), A, B) &  (v3_msualg_4(k6_pboole(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)), A, B) & m1_msualg_4(k6_pboole(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)), u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) ) ) ) ) ) ).
fof(t19_msualg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  => k5_lattices(k6_msualg_5(A, B))=k2_msualg_3(u1_struct_0(A), u3_msualg_1(A, B))) ) ) ) ).
fof(t20_msualg_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  => k6_lattices(k6_msualg_5(A, B))=k6_pboole(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) ) ) ) ).
fof(t21_msualg_5, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, u1_struct_0(k2_msualg_5(B))) <=>  (v1_partfun1(A, B) &  (v3_relat_2(A) &  (v8_relat_2(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) ) ) ) ) ).
fof(dt_k1_msualg_5, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (v1_partfun1(k1_msualg_5(A, B), A) &  (v3_relat_2(k1_msualg_5(A, B)) &  (v8_relat_2(k1_msualg_5(A, B)) & m1_subset_1(k1_msualg_5(A, B), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ).
fof(dt_k2_msualg_5, axiom,  (! [A] :  ( ~ (v2_struct_0(k2_msualg_5(A)))  &  (v3_lattices(k2_msualg_5(A)) &  (v10_lattices(k2_msualg_5(A)) & l3_lattices(k2_msualg_5(A))) ) ) ) ).
fof(dt_k3_msualg_5, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  & m1_msualg_4(C, A, B, B)) )  =>  (v1_msualg_4(k3_msualg_5(A, B, C), A, B) & m1_msualg_4(k3_msualg_5(A, B, C), A, B, B)) ) ) ).
fof(dt_k4_msualg_5, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  ( (v1_msualg_4(C, A, B) & m1_msualg_4(C, A, B, B))  &  (v1_msualg_4(D, A, B) & m1_msualg_4(D, A, B, B)) ) ) )  =>  (v1_msualg_4(k4_msualg_5(A, B, C, D), A, B) & m1_msualg_4(k4_msualg_5(A, B, C, D), A, B, B)) ) ) ).
fof(commutativity_k4_msualg_5, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  ( (v1_msualg_4(C, A, B) & m1_msualg_4(C, A, B, B))  &  (v1_msualg_4(D, A, B) & m1_msualg_4(D, A, B, B)) ) ) )  => k4_msualg_5(A, B, C, D)=k4_msualg_5(A, B, D, C)) ) ).
fof(dt_k5_msualg_5, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  ( ~ (v2_struct_0(k5_msualg_5(A, B)))  &  (v3_lattices(k5_msualg_5(A, B)) &  (v10_lattices(k5_msualg_5(A, B)) & l3_lattices(k5_msualg_5(A, B))) ) ) ) ) ).
fof(dt_k6_msualg_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  (v3_lattices(k6_msualg_5(A, B)) & m2_nat_lat(k6_msualg_5(A, B), k5_msualg_5(u1_struct_0(A), u3_msualg_1(A, B)))) ) ) ).
fof(d2_msualg_5, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_lattices(B) &  (v10_lattices(B) & l3_lattices(B)) ) )  =>  (B=k2_msualg_5(A) <=>  (u1_struct_0(B)=a_1_0_msualg_5(A) &  (! [C] :  ( (v1_partfun1(C, A) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [D] :  ( (v1_partfun1(D, A) &  (v3_relat_2(D) &  (v8_relat_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (k1_binop_1(u1_lattices(B), C, D)=k4_eqrel_1(A, C, D) & k1_binop_1(u2_lattices(B), C, D)=k5_eqrel_1(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_msualg_5, axiom,  (! [A, B] :  (r2_hidden(A, a_1_0_msualg_5(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B))) &  (A=C &  (v1_partfun1(C, B) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) ) ) ) ) ) ) ).
fof(cc1_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (v4_msualg_1(B, A) => v1_msualg_6(B, A)) ) ) ) ) ).
fof(rc1_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (? [B] :  (l3_msualg_1(B, A) & v4_msualg_1(B, A)) ) ) ) ).
fof(cc2_msualg_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)) =>  ( (v2_msualg_4(C, A, B) & v3_msualg_6(C, A, B))  =>  (v2_msualg_4(C, A, B) & v2_msualg_6(C, A, B)) ) ) ) ) ) ).
fof(cc3_msualg_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)) =>  ( (v2_msualg_4(C, A, B) & v2_msualg_6(C, A, B))  =>  (v2_msualg_4(C, A, B) & v3_msualg_6(C, A, B)) ) ) ) ) ) ).
fof(fc1_msualg_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_relat_1(k4_relat_1(A)) &  ~ (v1_xboole_0(k4_relat_1(A))) ) ) ) ).
fof(cc4_msualg_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)) =>  (v2_msualg_4(C, A, B) => v2_relat_1(C)) ) ) ) ) ).
fof(rc2_msualg_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  (? [C] :  (m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) &  (v2_funcop_1(C) &  (v2_msualg_4(C, A, B) &  (v3_msualg_6(C, A, B) & v4_msualg_6(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc2_msualg_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  (v2_relat_1(C) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) ) )  =>  (v2_relat_1(k6_msualg_6(A, B, C)) & v3_msualg_6(k6_msualg_6(A, B, C), A, B)) ) ) ).
fof(fc3_msualg_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  (v2_relat_1(C) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) ) )  =>  (v2_relat_1(k7_msualg_6(A, B, C)) & v4_msualg_6(k7_msualg_6(A, B, C), A, B)) ) ) ).
fof(fc4_msualg_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  (v2_relat_1(C) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) ) )  =>  (v2_relat_1(k8_msualg_6(A, B, C)) &  (v3_msualg_6(k8_msualg_6(A, B, C), A, B) & v4_msualg_6(k8_msualg_6(A, B, C), A, B)) ) ) ) ).
fof(fc5_msualg_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  (v4_msualg_6(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) ) )  =>  (v2_msualg_4(k9_msualg_6(A, B, C), A, B) & v4_msualg_6(k9_msualg_6(A, B, C), A, B)) ) ) ).
fof(fc6_msualg_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  (v3_msualg_6(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) ) )  =>  (v2_msualg_4(k9_msualg_6(A, B, C), A, B) & v3_msualg_6(k9_msualg_6(A, B, C), A, B)) ) ) ).
fof(t1_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (r2_tarski(D, k3_msualg_1(A, C, B)) =>  (v1_relat_1(D) & v1_funct_1(D)) ) ) ) ) ) ) ) ) ).
fof(t2_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r2_tarski(D, k3_msualg_1(A, C, B)) =>  (k9_xtuple_0(D)=k4_finseq_1(k1_msualg_1(A, C)) &  (! [E] :  (r2_tarski(E, k4_finseq_1(k1_msualg_1(A, C))) => r2_tarski(k1_funct_1(D, E), k1_funct_1(u3_msualg_1(A, B), k7_partfun1(u1_struct_0(A), k1_msualg_1(A, C), E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (v1_msualg_6(B, A) <=>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  ~ ( ( ~ (k3_msualg_1(A, C, B)=k1_xboole_0)  & k4_msualg_1(A, C, B)=k1_xboole_0) ) ) ) ) ) ) ) ) ).
fof(t3_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (l3_msualg_1(C, A) =>  ( ~ (k3_msualg_1(A, B, C)=k1_xboole_0)  <=>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ~ ( (r2_tarski(D, k4_finseq_1(k1_msualg_1(A, B))) & k1_funct_1(u3_msualg_1(A, C), k7_partfun1(u1_struct_0(A), k1_msualg_1(A, B), D))=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m2_pboole(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)) =>  (m1_msualg_6(C, A, B) <=> r1_msualg_3(A, B, B, C)) ) ) ) ) ) ) ).
fof(t4_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) => m1_msualg_6(k2_msualg_3(u1_struct_0(A), u3_msualg_1(A, B)), A, B)) ) ) ) ).
fof(t5_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m2_pboole(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)) =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k3_msualg_1(A, E, B)) =>  (r2_tarski(F, k3_msualg_1(A, E, B)) => k5_msualg_3(A, B, B, E, D, k5_msualg_3(A, B, B, E, C, F))=k5_msualg_3(A, B, B, E, k1_msualg_6(u1_struct_0(A), u3_msualg_1(A, B), C, D), F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m1_msualg_6(C, A, B) =>  (! [D] :  (m1_msualg_6(D, A, B) => m1_msualg_6(k1_msualg_6(u1_struct_0(A), u3_msualg_1(A, B), C, D), A, B)) ) ) ) ) ) ) ) ).
fof(d3_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) =>  (B=k3_msualg_6(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_hidden(k4_tarski(C, D), B) <=>  (? [E] :  (m1_subset_1(E, u4_struct_0(A)) &  (k2_msualg_1(A, E)=D &  (? [F] :  (m1_subset_1(F, k4_ordinal1) &  (r2_tarski(F, k4_finseq_1(k1_msualg_1(A, E))) & k7_partfun1(u1_struct_0(A), k1_msualg_1(A, E), F)=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r2_tarski(D, k3_msualg_1(A, B, C)) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, C), k7_partfun1(u1_struct_0(A), k1_msualg_1(A, B), E))) => r2_tarski(k1_funct_7(D, E, F), k3_msualg_1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  ~ ( ( ~ (k3_msualg_1(A, E, B)=k1_xboole_0)  &  ( ~ (k3_msualg_1(A, E, C)=k1_xboole_0)  &  (? [F] :  (m1_subset_1(F, k4_ordinal1) &  (r2_tarski(F, k4_finseq_1(k1_msualg_1(A, E))) &  ~ ( (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, B), k7_partfun1(u1_struct_0(A), k1_msualg_1(A, E), F))) => r2_tarski(k1_funct_1(k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C), D, k7_partfun1(u1_struct_0(A), k1_msualg_1(A, E), F)), G), k1_funct_1(u3_msualg_1(A, C), k7_partfun1(u1_struct_0(A), k1_msualg_1(A, E), F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r2_tarski(C, k4_finseq_1(k1_msualg_1(A, B))) =>  (! [D] :  (l3_msualg_1(D, A) =>  (! [E] :  (l3_msualg_1(E, A) =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), u3_msualg_1(A, D), u3_msualg_1(A, E)) =>  (! [G] :  (m1_subset_1(G, k3_msualg_1(A, B, D)) =>  (! [H] :  (m1_subset_1(H, k3_msualg_1(A, B, D)) =>  ( (r2_tarski(G, k3_msualg_1(A, B, D)) & r2_tarski(k5_msualg_3(A, D, E, B, F, G), k3_msualg_1(A, B, E)))  =>  (! [I] :  ( (v1_relat_1(I) & v1_funct_1(I))  =>  (! [J] :  ( (v1_relat_1(J) & v1_funct_1(J))  =>  (! [K] :  ( (v1_relat_1(K) & v1_funct_1(K))  =>  ( (I=G &  (J=k5_msualg_3(A, D, E, B, F, G) & K=k5_msualg_3(A, D, E, B, F, H)) )  =>  (! [L] :  (m1_subset_1(L, k1_funct_1(u3_msualg_1(A, D), k7_partfun1(u1_struct_0(A), k1_msualg_1(A, B), C))) =>  (H=k1_funct_7(I, C, L) =>  (k1_funct_1(K, C)=k1_funct_1(k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, D), u3_msualg_1(A, E), F, k7_partfun1(u1_struct_0(A), k1_msualg_1(A, B), C)), L) & k5_msualg_3(A, D, E, B, F, H)=k1_funct_7(J, C, k1_funct_1(K, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (l3_msualg_1(D, A) =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  (F=k4_msualg_6(A, B, C, D, E) <=>  (k9_xtuple_0(F)=k1_funct_1(u3_msualg_1(A, D), k7_partfun1(u1_struct_0(A), k1_msualg_1(A, B), C)) &  (! [G] :  (r2_hidden(G, k1_funct_1(u3_msualg_1(A, D), k7_partfun1(u1_struct_0(A), k1_msualg_1(A, B), C))) => k1_funct_1(F, G)=k1_funct_1(k5_msualg_1(A, B, D), k1_funct_7(E, C, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( (v1_msualg_6(D, A) & l3_msualg_1(D, A))  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (r2_tarski(E, k3_msualg_1(A, B, D)) =>  (v1_funct_1(k4_msualg_6(A, B, C, D, E)) &  (v1_funct_2(k4_msualg_6(A, B, C, D, E), k1_funct_1(u3_msualg_1(A, D), k7_partfun1(u1_struct_0(A), k1_msualg_1(A, B), C)), k1_funct_1(u3_msualg_1(A, D), k2_msualg_1(A, B))) & m1_subset_1(k4_msualg_6(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A, D), k7_partfun1(u1_struct_0(A), k1_msualg_1(A, B), C)), k1_funct_1(u3_msualg_1(A, D), k2_msualg_1(A, B)))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (l3_msualg_1(D, A) =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (r1_msualg_6(A, B, C, D, E) <=>  (? [F] :  (m1_subset_1(F, u4_struct_0(A)) &  (k2_msualg_1(A, F)=C &  (? [G] :  (m1_subset_1(G, k4_ordinal1) &  (r2_tarski(G, k4_finseq_1(k1_msualg_1(A, F))) &  (k7_partfun1(u1_struct_0(A), k1_msualg_1(A, F), G)=B &  (? [H] :  ( (v1_relat_1(H) & v1_funct_1(H))  &  (r2_tarski(H, k3_msualg_1(A, F, D)) & E=k4_msualg_6(A, F, G, D, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_msualg_6(D, A) & l3_msualg_1(D, A))  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (r1_msualg_6(A, B, C, D, E) =>  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_funct_1(u3_msualg_1(A, D), B), k1_funct_1(u3_msualg_1(A, D), C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A, D), B), k1_funct_1(u3_msualg_1(A, D), C))))) )  &  ( ~ (k1_funct_1(u3_msualg_1(A, D), B)=k1_xboole_0)  &  ~ (k1_funct_1(u3_msualg_1(A, D), C)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (l3_msualg_1(D, A) =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (r1_msualg_6(A, B, C, D, E) => r2_hidden(k4_tarski(B, C), k3_msualg_6(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v4_msualg_1(D, A) & l3_msualg_1(D, A))  =>  ~ ( (r2_hidden(k4_tarski(B, C), k3_msualg_6(A)) &  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  ~ (r1_msualg_6(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_msualg_6(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_rewrite1(E, k3_msualg_6(A)) =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) &  (v1_finseq_1(F) & v1_funcop_1(F)) ) )  =>  ( (k3_finseq_1(E)=k1_nat_1(k3_finseq_1(F), 1) &  (C=k1_funct_1(E, 1) &  (D=k1_funct_1(E, k3_finseq_1(E)) &  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  (! [H] :  ( (v1_relat_1(H) & v1_funct_1(H))  =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  ( (r2_tarski(G, k4_finseq_1(F)) &  (H=k1_funct_1(F, G) &  (I=k1_funct_1(E, G) & J=k1_funct_1(E, k1_nat_1(G, 1))) ) )  => r1_msualg_6(A, I, J, B, H)) ) ) ) ) ) ) ) ) ) ) )  =>  ( (v1_funct_1(k3_funct_7(k1_funct_1(u3_msualg_1(A, B), C), F)) &  (v1_funct_2(k3_funct_7(k1_funct_1(u3_msualg_1(A, B), C), F), k1_funct_1(u3_msualg_1(A, B), C), k1_funct_1(u3_msualg_1(A, B), D)) & m1_subset_1(k3_funct_7(k1_funct_1(u3_msualg_1(A, B), C), F), k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A, B), C), k1_funct_1(u3_msualg_1(A, B), D))))) )  &  ( ~ (F=k1_xboole_0)  =>  ( ~ (k1_funct_1(u3_msualg_1(A, B), C)=k1_xboole_0)  &  ~ (k1_funct_1(u3_msualg_1(A, B), D)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_rewrite1(k3_msualg_6(A), C, D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_funct_1(u3_msualg_1(A, B), C), k1_funct_1(u3_msualg_1(A, B), D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A, B), C), k1_funct_1(u3_msualg_1(A, B), D))))) )  =>  (m2_msualg_6(E, A, B, C, D) <=>  (? [F] :  (m1_rewrite1(F, k3_msualg_6(A)) &  (? [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) &  (v1_finseq_1(G) & v1_funcop_1(G)) ) )  &  (E=k3_funct_7(k1_funct_1(u3_msualg_1(A, B), C), G) &  (k3_finseq_1(F)=k1_nat_1(k3_finseq_1(G), 1) &  (C=k1_funct_1(F, 1) &  (D=k1_funct_1(F, k3_finseq_1(F)) &  (! [H] :  (m1_subset_1(H, k4_ordinal1) =>  (! [I] :  ( (v1_relat_1(I) & v1_funct_1(I))  =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  ( (r2_tarski(H, k4_finseq_1(G)) &  (I=k1_funct_1(G, H) &  (J=k1_funct_1(F, H) & K=k1_funct_1(F, k1_nat_1(H, 1))) ) )  => r1_msualg_6(A, J, K, B, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_rewrite1(k3_msualg_6(A), C, D) =>  (! [E] :  (m1_rewrite1(E, k3_msualg_6(A)) =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) &  (v1_finseq_1(F) & v1_funcop_1(F)) ) )  =>  ( (k3_finseq_1(E)=k1_nat_1(k3_finseq_1(F), 1) &  (C=k1_funct_1(E, 1) &  (D=k1_funct_1(E, k3_finseq_1(E)) &  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  (! [H] :  ( (v1_relat_1(H) & v1_funct_1(H))  =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  ( (r2_tarski(G, k4_finseq_1(F)) &  (H=k1_funct_1(F, G) &  (I=k1_funct_1(E, G) & J=k1_funct_1(E, k1_nat_1(G, 1))) ) )  => r1_msualg_6(A, I, J, B, H)) ) ) ) ) ) ) ) ) ) ) )  => m2_msualg_6(k3_funct_7(k1_funct_1(u3_msualg_1(A, B), C), F), A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => m2_msualg_6(k6_partfun1(k1_funct_1(u3_msualg_1(A, B), C)), A, B, C, C)) ) ) ) ) ) ).
fof(t17_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (r1_msualg_6(A, C, D, B, E) =>  (r1_rewrite1(k3_msualg_6(A), C, D) & m2_msualg_6(E, A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_rewrite1(k3_msualg_6(A), C, D) & r1_rewrite1(k3_msualg_6(A), D, E))  =>  (! [F] :  (m2_msualg_6(F, A, B, C, D) =>  (! [G] :  (m2_msualg_6(G, A, B, D, E) => m2_msualg_6(k1_partfun1(k1_funct_1(u3_msualg_1(A, B), C), k1_funct_1(u3_msualg_1(A, B), D), k1_funct_1(u3_msualg_1(A, B), D), k1_funct_1(u3_msualg_1(A, B), E), F, G), A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_rewrite1(k3_msualg_6(A), C, D) =>  (! [F] :  (m2_msualg_6(F, A, B, C, D) =>  (! [G] :  ( (v1_relat_1(G) & v1_funct_1(G))  =>  (r1_msualg_6(A, D, E, B, G) => m2_msualg_6(k3_relat_1(F, G), A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_rewrite1(k3_msualg_6(A), D, E) =>  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  (r1_msualg_6(A, C, D, B, F) =>  (! [G] :  (m2_msualg_6(G, A, B, D, E) => m2_msualg_6(k3_relat_1(F, G), A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (r1_msualg_3(A, B, C, D) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r2_tarski(F, k4_finseq_1(k1_msualg_1(A, E))) =>  (! [G] :  (m1_subset_1(G, k3_msualg_1(A, E, B)) => k3_relat_1(k4_msualg_6(A, E, F, B, G), k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C), D, k2_msualg_1(A, E)))=k3_relat_1(k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C), D, k7_partfun1(u1_struct_0(A), k1_msualg_1(A, E), F)), k4_msualg_6(A, E, F, C, k5_msualg_3(A, B, C, E, D, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_msualg_6(C, A, B) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r2_tarski(E, k4_finseq_1(k1_msualg_1(A, D))) =>  (! [F] :  (m1_subset_1(F, k3_msualg_1(A, D, B)) => k3_relat_1(k4_msualg_6(A, D, E, B, F), k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), C, k2_msualg_1(A, D)))=k3_relat_1(k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), C, k7_partfun1(u1_struct_0(A), k1_msualg_1(A, D), E)), k4_msualg_6(A, D, E, B, k5_msualg_3(A, B, B, D, C, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (r1_msualg_3(A, B, C, D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  ( (v1_relat_1(G) & v1_funct_1(G))  =>  ~ ( (r1_msualg_6(A, E, F, B, G) &  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k1_funct_1(u3_msualg_1(A, C), E), k1_funct_1(u3_msualg_1(A, C), F)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A, C), E), k1_funct_1(u3_msualg_1(A, C), F))))) )  =>  ~ ( (r1_msualg_6(A, E, F, C, H) & k1_partfun1(k1_funct_1(u3_msualg_1(A, B), E), k1_funct_1(u3_msualg_1(A, C), E), k1_funct_1(u3_msualg_1(A, C), E), k1_funct_1(u3_msualg_1(A, C), F), k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C), D, E), H)=k3_relat_1(G, k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C), D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_msualg_6(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  ~ ( (r1_msualg_6(A, D, E, B, F) &  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k1_funct_1(u3_msualg_1(A, B), D), k1_funct_1(u3_msualg_1(A, B), E)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A, B), D), k1_funct_1(u3_msualg_1(A, B), E))))) )  =>  ~ ( (r1_msualg_6(A, D, E, B, G) & k1_partfun1(k1_funct_1(u3_msualg_1(A, B), D), k1_funct_1(u3_msualg_1(A, B), D), k1_funct_1(u3_msualg_1(A, B), D), k1_funct_1(u3_msualg_1(A, B), E), k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), C, D), G)=k3_relat_1(F, k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (r1_msualg_3(A, B, C, D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r1_rewrite1(k3_msualg_6(A), E, F) =>  (! [G] :  (m2_msualg_6(G, A, B, E, F) =>  (? [H] :  (m2_msualg_6(H, A, C, E, F) & r2_funct_2(k1_funct_1(u3_msualg_1(A, B), E), k1_funct_1(u3_msualg_1(A, C), F), k1_partfun1(k1_funct_1(u3_msualg_1(A, B), E), k1_funct_1(u3_msualg_1(A, C), E), k1_funct_1(u3_msualg_1(A, C), E), k1_funct_1(u3_msualg_1(A, C), F), k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C), D, E), H), k1_partfun1(k1_funct_1(u3_msualg_1(A, B), E), k1_funct_1(u3_msualg_1(A, B), F), k1_funct_1(u3_msualg_1(A, B), F), k1_funct_1(u3_msualg_1(A, C), F), G, k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C), D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_msualg_6(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_rewrite1(k3_msualg_6(A), D, E) =>  (! [F] :  (m2_msualg_6(F, A, B, D, E) =>  (? [G] :  (m2_msualg_6(G, A, B, D, E) & r2_funct_2(k1_funct_1(u3_msualg_1(A, B), D), k1_funct_1(u3_msualg_1(A, B), E), k1_partfun1(k1_funct_1(u3_msualg_1(A, B), D), k1_funct_1(u3_msualg_1(A, B), D), k1_funct_1(u3_msualg_1(A, B), D), k1_funct_1(u3_msualg_1(A, B), E), k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), C, D), G), k1_partfun1(k1_funct_1(u3_msualg_1(A, B), D), k1_funct_1(u3_msualg_1(A, B), E), k1_funct_1(u3_msualg_1(A, B), E), k1_funct_1(u3_msualg_1(A, B), E), F, k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), C, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)) =>  (v2_msualg_6(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  ( (r2_tarski(E, k3_msualg_1(A, D, B)) &  (r2_tarski(F, k3_msualg_1(A, D, B)) &  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  (r2_tarski(G, k4_finseq_1(k1_msualg_1(A, D))) => r2_hidden(k4_tarski(k1_funct_1(E, G), k1_funct_1(F, G)), k1_msualg_4(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), C, k7_partfun1(u1_struct_0(A), k1_msualg_1(A, D), G)))) ) ) ) )  => r2_hidden(k4_tarski(k1_funct_1(k5_msualg_1(A, D, B), E), k1_funct_1(k5_msualg_1(A, D, B), F)), k1_msualg_4(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), C, k2_msualg_1(A, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)) =>  (v3_msualg_6(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  (r1_msualg_6(A, D, E, B, F) =>  (! [G] :  (! [H] :  (r2_hidden(k4_tarski(G, H), k1_msualg_4(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), C, D)) => r2_hidden(k4_tarski(k1_funct_1(F, G), k1_funct_1(F, H)), k1_msualg_4(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)) =>  (v4_msualg_6(C, A, B) <=>  (! [D] :  (m1_msualg_6(D, A, B) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (! [G] :  (r2_hidden(k4_tarski(F, G), k1_msualg_4(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), C, E)) => r2_hidden(k4_tarski(k1_funct_1(k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), D, E), F), k1_funct_1(k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), D, E), G)), k1_msualg_4(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v2_msualg_4(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)))  =>  (v2_msualg_6(C, A, B) <=>  (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(t28_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)) =>  (v3_msualg_6(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_rewrite1(k3_msualg_6(A), D, E) =>  (! [F] :  (m2_msualg_6(F, A, B, D, E) =>  (! [G] :  (! [H] :  (r2_hidden(k4_tarski(G, H), k1_msualg_4(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), C, D)) => r2_hidden(k4_tarski(k1_funct_1(F, G), k1_funct_1(F, H)), k1_msualg_4(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_msualg_6, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_msualg_4(C, A, B, B) =>  (C=k5_msualg_6(A, B) <=>  (! [D] :  (r2_hidden(D, A) => k1_funct_1(C, D)=k6_partfun1(k1_funct_1(B, D))) ) ) ) ) ) ) ) ).
fof(d11_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)) =>  (! [D] :  ( (v3_msualg_6(D, A, B) & m1_msualg_4(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)))  =>  (D=k6_msualg_6(A, B, C) <=>  (r2_pboole(u1_struct_0(A), C, D) &  (! [E] :  ( (v3_msualg_6(E, A, B) & m1_msualg_4(E, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)))  =>  (r2_pboole(u1_struct_0(A), C, E) => r2_pboole(u1_struct_0(A), D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, B), D)) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, B), D)) =>  (r2_hidden(k4_tarski(E, F), k1_msualg_4(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), k6_msualg_6(A, B, C), D)) <=>  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  (? [H] :  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, B), G)) &  (? [I] :  (m1_subset_1(I, k1_funct_1(u3_msualg_1(A, B), G)) &  (? [J] :  (m2_msualg_6(J, A, B, G, D) &  (r1_rewrite1(k3_msualg_6(A), G, D) &  (r2_hidden(k4_tarski(H, I), k1_msualg_4(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), C, G)) &  (E=k3_funct_2(k1_funct_1(u3_msualg_1(A, B), G), k1_funct_1(u3_msualg_1(A, B), D), J, H) & F=k3_funct_2(k1_funct_1(u3_msualg_1(A, B), G), k1_funct_1(u3_msualg_1(A, B), D), J, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_6(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)))  => v4_msualg_6(k6_msualg_6(A, B, C), A, B)) ) ) ) ) ) ).
fof(d12_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)) =>  (! [D] :  ( (v4_msualg_6(D, A, B) & m1_msualg_4(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)))  =>  (D=k7_msualg_6(A, B, C) <=>  (r2_pboole(u1_struct_0(A), C, D) &  (! [E] :  ( (v4_msualg_6(E, A, B) & m1_msualg_4(E, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)))  =>  (r2_pboole(u1_struct_0(A), C, E) => r2_pboole(u1_struct_0(A), D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, B), D)) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, B), D)) =>  (r2_hidden(k4_tarski(E, F), k1_msualg_4(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), k7_msualg_6(A, B, C), D)) <=>  (? [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, B), D)) &  (? [H] :  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, B), D)) &  (? [I] :  (m1_msualg_6(I, A, B) &  (r2_hidden(k4_tarski(G, H), k1_msualg_4(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), C, D)) &  (E=k3_funct_2(k1_funct_1(u3_msualg_1(A, B), D), k1_funct_1(u3_msualg_1(A, B), D), k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), I, D), G) & F=k3_funct_2(k1_funct_1(u3_msualg_1(A, B), D), k1_funct_1(u3_msualg_1(A, B), D), k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), I, D), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)) => v4_msualg_6(k6_msualg_6(A, B, k7_msualg_6(A, B, C)), A, B)) ) ) ) ) ) ).
fof(d13_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)) =>  (! [D] :  ( (v3_msualg_6(D, A, B) &  (v4_msualg_6(D, A, B) & m1_msualg_4(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  =>  (D=k8_msualg_6(A, B, C) <=>  (r2_pboole(u1_struct_0(A), C, D) &  (! [E] :  ( (v3_msualg_6(E, A, B) &  (v4_msualg_6(E, A, B) & m1_msualg_4(E, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  =>  (r2_pboole(u1_struct_0(A), C, E) => r2_pboole(u1_struct_0(A), D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v3_msualg_6(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)))  => r8_pboole(u1_struct_0(A), k6_msualg_6(A, B, C), C)) ) ) ) ) ) ).
fof(t34_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_6(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)))  => r8_pboole(u1_struct_0(A), k7_msualg_6(A, B, C), C)) ) ) ) ) ) ).
fof(t35_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v3_msualg_6(C, A, B) &  (v4_msualg_6(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  => r8_pboole(u1_struct_0(A), k8_msualg_6(A, B, C), C)) ) ) ) ) ) ).
fof(t36_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)) =>  (r2_pboole(u1_struct_0(A), k7_msualg_6(A, B, C), k8_msualg_6(A, B, C)) &  (r2_pboole(u1_struct_0(A), k6_msualg_6(A, B, C), k8_msualg_6(A, B, C)) & r2_pboole(u1_struct_0(A), k7_msualg_6(A, B, k6_msualg_6(A, B, C)), k8_msualg_6(A, B, C))) ) ) ) ) ) ) ) ).
fof(t37_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)) => r8_pboole(u1_struct_0(A), k6_msualg_6(A, B, k7_msualg_6(A, B, C)), k8_msualg_6(A, B, C))) ) ) ) ) ) ).
fof(t38_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, B), D)) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, B), D)) =>  (r2_hidden(k4_tarski(E, F), k1_msualg_4(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), k8_msualg_6(A, B, C), D)) <=>  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  (r1_rewrite1(k3_msualg_6(A), G, D) &  (? [H] :  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, B), G)) &  (? [I] :  (m1_subset_1(I, k1_funct_1(u3_msualg_1(A, B), G)) &  (? [J] :  (m1_msualg_6(J, A, B) &  (? [K] :  (m2_msualg_6(K, A, B, G, D) &  (r2_hidden(k4_tarski(H, I), k1_msualg_4(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), C, G)) &  (E=k3_funct_2(k1_funct_1(u3_msualg_1(A, B), G), k1_funct_1(u3_msualg_1(A, B), D), K, k3_funct_2(k1_funct_1(u3_msualg_1(A, B), G), k1_funct_1(u3_msualg_1(A, B), G), k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), J, G), H)) & F=k3_funct_2(k1_funct_1(u3_msualg_1(A, B), G), k1_funct_1(u3_msualg_1(A, B), D), K, k3_funct_2(k1_funct_1(u3_msualg_1(A, B), G), k1_funct_1(u3_msualg_1(A, B), G), k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), J, G), I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_msualg_6, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  ( (! [D] :  (! [E] :  ( (r2_tarski(D, A) & r2_tarski(E, A))  =>  (r2_hidden(k4_tarski(D, E), C) <=> r2_rewrite1(B, D, E)) ) ) )  =>  (v1_partfun1(C, A) &  (v3_relat_2(C) & v8_relat_2(C)) ) ) ) ) ) ) ) ).
fof(t40_msualg_6, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  ( (v1_partfun1(C, A) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (r1_relset_1(A, A, B, C) =>  (! [D] :  (! [E] :  ( (r2_hidden(D, A) & r2_rewrite1(B, D, E))  => r2_hidden(k4_tarski(D, E), C)) ) ) ) ) ) ) ) ) ).
fof(t41_msualg_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (r2_hidden(k4_tarski(C, D), k1_msualg_5(A, B)) <=> r2_rewrite1(B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t42_msualg_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  (m1_msualg_4(C, A, B, B) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(B, D)) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(B, D)) =>  (r2_hidden(k4_tarski(E, F), k1_msualg_4(A, B, B, k3_msualg_5(A, B, C), D)) <=> r2_rewrite1(k1_msualg_4(A, B, B, C, D), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)) => k9_msualg_6(A, B, C)=k3_msualg_5(u1_struct_0(A), u3_msualg_1(A, B), C)) ) ) ) ) ) ).
fof(t43_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)) => r2_pboole(u1_struct_0(A), C, k9_msualg_6(A, B, C))) ) ) ) ) ) ).
fof(t44_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)) =>  (! [D] :  ( (v2_msualg_4(D, A, B) & m1_msualg_4(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)))  =>  (r2_pboole(u1_struct_0(A), C, D) => r2_pboole(u1_struct_0(A), k9_msualg_6(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t45_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_6(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, B), D)) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, B), D)) =>  (r2_rewrite1(k1_msualg_4(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), C, D), E, F) =>  (! [G] :  (m1_msualg_6(G, A, B) => r2_rewrite1(k1_msualg_4(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), C, D), k3_funct_2(k1_funct_1(u3_msualg_1(A, B), D), k1_funct_1(u3_msualg_1(A, B), D), k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), G, D), E), k3_funct_2(k1_funct_1(u3_msualg_1(A, B), D), k1_funct_1(u3_msualg_1(A, B), D), k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), G, D), F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_6(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)))  => v4_msualg_6(k9_msualg_6(A, B, C), A, B)) ) ) ) ) ) ).
fof(t47_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v3_msualg_6(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, B), D)) =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, B), D)) =>  (r2_rewrite1(k1_msualg_4(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), C, D), F, G) =>  (! [H] :  ( (v1_relat_1(H) & v1_funct_1(H))  =>  (r1_msualg_6(A, D, E, B, H) => r2_rewrite1(k1_msualg_4(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), C, E), k1_funct_1(H, F), k1_funct_1(H, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v3_msualg_6(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)))  => v3_msualg_6(k9_msualg_6(A, B, C), A, B)) ) ) ) ) ) ).
fof(t49_msualg_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  (m1_msualg_4(C, A, B, B) =>  (! [D] :  (m1_msualg_4(D, A, B, B) =>  ( (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(B, E)) =>  (! [G] :  (m1_subset_1(G, k1_funct_1(B, E)) =>  (r2_hidden(k4_tarski(F, G), k1_msualg_4(A, B, B, D, E)) <=> r2_rewrite1(k1_msualg_4(A, B, B, C, E), F, G)) ) ) ) ) ) )  => v1_msualg_4(D, A, B)) ) ) ) ) ) ) ) ) ).
fof(t50_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)) =>  (! [D] :  (m1_msualg_4(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)) =>  ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, B), E)) =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, B), E)) =>  (r2_hidden(k4_tarski(F, G), k1_msualg_4(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), D, E)) <=> r2_rewrite1(k1_msualg_4(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), k8_msualg_6(A, B, C), E), F, G)) ) ) ) ) ) )  =>  (v2_msualg_4(D, A, B) &  (v3_msualg_6(D, A, B) &  (v4_msualg_6(D, A, B) & m1_msualg_4(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_msualg_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  (m1_msualg_4(C, A, B, B) =>  (! [D] :  ( (v1_msualg_4(D, A, B) & m1_msualg_4(D, A, B, B))  =>  (r2_pboole(A, C, D) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(B, E)) =>  (! [G] :  (m1_subset_1(G, k1_funct_1(B, E)) =>  (r2_rewrite1(k1_msualg_4(A, B, B, C, E), F, G) => r2_hidden(k4_tarski(F, G), k1_msualg_4(A, B, B, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)) =>  (! [D] :  ( (v2_msualg_4(D, A, B) &  (v3_msualg_6(D, A, B) &  (v4_msualg_6(D, A, B) & m1_msualg_4(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) ) )  =>  (D=k10_msualg_6(A, B, C) <=>  (r2_pboole(u1_struct_0(A), C, D) &  (! [E] :  ( (v2_msualg_4(E, A, B) &  (v3_msualg_6(E, A, B) &  (v4_msualg_6(E, A, B) & m1_msualg_4(E, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) ) )  =>  (r2_pboole(u1_struct_0(A), C, E) => r2_pboole(u1_struct_0(A), D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)) =>  (r2_pboole(u1_struct_0(A), k9_msualg_6(A, B, C), k10_msualg_6(A, B, C)) &  (r2_pboole(u1_struct_0(A), k6_msualg_6(A, B, C), k10_msualg_6(A, B, C)) &  (r2_pboole(u1_struct_0(A), k7_msualg_6(A, B, C), k10_msualg_6(A, B, C)) & r2_pboole(u1_struct_0(A), k8_msualg_6(A, B, C), k10_msualg_6(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t53_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, B), D)) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, B), D)) =>  (r2_hidden(k4_tarski(E, F), k2_msualg_4(A, B, k10_msualg_6(A, B, C), D)) <=> r2_rewrite1(k1_msualg_4(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), k8_msualg_6(A, B, C), D), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)) => r8_pboole(u1_struct_0(A), k10_msualg_6(A, B, C), k9_msualg_6(A, B, k8_msualg_6(A, B, C)))) ) ) ) ) ) ).
fof(s1_msualg_6, axiom,  ( ( (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s1_msualg_6)) => p1_s1_msualg_6(k6_partfun1(k1_funct_1(u3_msualg_1(f1_s1_msualg_6, f2_s1_msualg_6), A)), A, A)) )  &  (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s1_msualg_6)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(f1_s1_msualg_6)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(f1_s1_msualg_6)) =>  (r1_rewrite1(k3_msualg_6(f1_s1_msualg_6), A, B) =>  (! [D] :  (m2_msualg_6(D, f1_s1_msualg_6, f2_s1_msualg_6, A, B) =>  (p1_s1_msualg_6(D, A, B) =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (r1_msualg_6(f1_s1_msualg_6, B, C, f2_s1_msualg_6, E) => p1_s1_msualg_6(k3_relat_1(D, E), A, C)) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s1_msualg_6)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(f1_s1_msualg_6)) =>  (r1_rewrite1(k3_msualg_6(f1_s1_msualg_6), A, B) =>  (! [C] :  (m2_msualg_6(C, f1_s1_msualg_6, f2_s1_msualg_6, A, B) => p1_s1_msualg_6(C, A, B)) ) ) ) ) ) ) ) ).
fof(s2_msualg_6, axiom,  (? [A] :  (m1_msualg_4(A, f1_s2_msualg_6, f2_s2_msualg_6, f2_s2_msualg_6) &  (! [B] :  (m1_subset_1(B, f1_s2_msualg_6) =>  (! [C] :  (m1_subset_1(C, k1_funct_1(f2_s2_msualg_6, B)) =>  (! [D] :  (m1_subset_1(D, k1_funct_1(f2_s2_msualg_6, B)) =>  (r2_hidden(k4_tarski(C, D), k1_msualg_4(f1_s2_msualg_6, f2_s2_msualg_6, f2_s2_msualg_6, A, B)) <=> p1_s2_msualg_6(B, C, D)) ) ) ) ) ) ) ) ) ).
fof(s3_msualg_6, axiom,  ( (! [A] :  (r2_tarski(A, f1_s3_msualg_6) => m1_subset_1(f3_s3_msualg_6(A), k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(f2_s3_msualg_6, A), k1_funct_1(f2_s3_msualg_6, A))))) )  =>  ( (? [A] :  (m1_msualg_4(A, f1_s3_msualg_6, f2_s3_msualg_6, f2_s3_msualg_6) &  (! [B] :  (r2_hidden(B, f1_s3_msualg_6) => k1_funct_1(A, B)=f3_s3_msualg_6(B)) ) ) )  &  (! [A] :  (m1_msualg_4(A, f1_s3_msualg_6, f2_s3_msualg_6, f2_s3_msualg_6) =>  (! [B] :  (m1_msualg_4(B, f1_s3_msualg_6, f2_s3_msualg_6, f2_s3_msualg_6) =>  ( ( (! [C] :  (r2_hidden(C, f1_s3_msualg_6) => k1_funct_1(A, C)=f3_s3_msualg_6(C)) )  &  (! [C] :  (r2_hidden(C, f1_s3_msualg_6) => k1_funct_1(B, C)=f3_s3_msualg_6(C)) ) )  => r6_pboole(f1_s3_msualg_6, A, B)) ) ) ) ) ) ) ).
fof(s4_msualg_6, axiom,  ( ( (! [A] :  (m1_msualg_4(A, u1_struct_0(f1_s4_msualg_6), u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6)) =>  (p2_s4_msualg_6(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(f1_s4_msualg_6)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(f1_s4_msualg_6)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_funct_1(u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), B), k1_funct_1(u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), B), k1_funct_1(u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), C))))) )  =>  (p1_s4_msualg_6(D, B, C) =>  (! [E] :  (! [F] :  (r2_hidden(k4_tarski(E, F), k1_msualg_4(u1_struct_0(f1_s4_msualg_6), u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), A, B)) => r2_hidden(k4_tarski(k1_funct_1(D, E), k1_funct_1(D, F)), k1_msualg_4(u1_struct_0(f1_s4_msualg_6), u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), A, C))) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s4_msualg_6)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(f1_s4_msualg_6)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(f1_s4_msualg_6)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_funct_1(u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), A), k1_funct_1(u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), A), k1_funct_1(u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_funct_1(u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), B), k1_funct_1(u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), B), k1_funct_1(u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), C))))) )  =>  ( (p1_s4_msualg_6(D, A, B) & p1_s4_msualg_6(E, B, C))  => p1_s4_msualg_6(k1_partfun1(k1_funct_1(u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), A), k1_funct_1(u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), B), k1_funct_1(u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), B), k1_funct_1(u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), C), D, E), A, C)) ) ) ) ) ) ) ) ) ) )  &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s4_msualg_6)) => p1_s4_msualg_6(k6_partfun1(k1_funct_1(u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), A)), A, A)) )  &  (! [A] :  (m1_subset_1(A, u1_struct_0(f1_s4_msualg_6)) =>  (! [B] :  (m1_subset_1(B, k1_funct_1(u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), A)) =>  (! [C] :  (m1_subset_1(C, k1_funct_1(u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), A)) =>  (r2_hidden(k4_tarski(B, C), k1_msualg_4(u1_struct_0(f1_s4_msualg_6), u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), f4_s4_msualg_6, A)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(f1_s4_msualg_6)) &  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_funct_1(u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), D), k1_funct_1(u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), D), k1_funct_1(u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), A))))) )  &  (? [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), D)) &  (? [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), D)) &  (p1_s4_msualg_6(E, D, A) &  (r2_hidden(k4_tarski(F, G), k1_msualg_4(u1_struct_0(f1_s4_msualg_6), u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), f3_s4_msualg_6, D)) &  (B=k3_funct_2(k1_funct_1(u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), D), k1_funct_1(u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), A), E, F) & C=k3_funct_2(k1_funct_1(u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), D), k1_funct_1(u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), A), E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (p2_s4_msualg_6(f4_s4_msualg_6) &  (r2_pboole(u1_struct_0(f1_s4_msualg_6), f3_s4_msualg_6, f4_s4_msualg_6) &  (! [A] :  (m1_msualg_4(A, u1_struct_0(f1_s4_msualg_6), u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6)) =>  ( (p2_s4_msualg_6(A) & r2_pboole(u1_struct_0(f1_s4_msualg_6), f3_s4_msualg_6, A))  => r2_pboole(u1_struct_0(f1_s4_msualg_6), f4_s4_msualg_6, A)) ) ) ) ) ) ).
fof(dt_k1_msualg_6, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (m2_pboole(C, A, B, B) & m2_pboole(D, A, B, B)) )  => m2_pboole(k1_msualg_6(A, B, C, D), A, B, B)) ) ).
fof(redefinition_k1_msualg_6, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (m2_pboole(C, A, B, B) & m2_pboole(D, A, B, B)) )  => k1_msualg_6(A, B, C, D)=k8_pboole(C, D)) ) ).
fof(dt_m1_msualg_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  & l3_msualg_1(B, A))  =>  (! [C] :  (m1_msualg_6(C, A, B) => m2_pboole(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) ) ) ) ).
fof(existence_m1_msualg_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  & l3_msualg_1(B, A))  =>  (? [C] : m1_msualg_6(C, A, B)) ) ) ).
fof(dt_k2_msualg_6, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (l3_msualg_1(B, A) &  (m1_msualg_6(C, A, B) & m1_msualg_6(D, A, B)) ) )  => m1_msualg_6(k2_msualg_6(A, B, C, D), A, B)) ) ).
fof(redefinition_k2_msualg_6, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (l3_msualg_1(B, A) &  (m1_msualg_6(C, A, B) & m1_msualg_6(D, A, B)) ) )  => k2_msualg_6(A, B, C, D)=k8_pboole(C, D)) ) ).
fof(dt_k3_msualg_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  => m1_subset_1(k3_msualg_6(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ).
fof(dt_k4_msualg_6, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (m1_subset_1(B, u4_struct_0(A)) &  (v7_ordinal1(C) &  (l3_msualg_1(D, A) &  (v1_relat_1(E) & v1_funct_1(E)) ) ) ) )  =>  (v1_relat_1(k4_msualg_6(A, B, C, D, E)) & v1_funct_1(k4_msualg_6(A, B, C, D, E))) ) ) ).
fof(dt_m2_msualg_6, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, u1_struct_0(A))) ) )  =>  (! [E] :  (m2_msualg_6(E, A, B, C, D) =>  (v1_funct_1(E) &  (v1_funct_2(E, k1_funct_1(u3_msualg_1(A, B), C), k1_funct_1(u3_msualg_1(A, B), D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A, B), C), k1_funct_1(u3_msualg_1(A, B), D))))) ) ) ) ) ) ).
fof(existence_m2_msualg_6, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, u1_struct_0(A))) ) )  =>  (? [E] : m2_msualg_6(E, A, B, C, D)) ) ) ).
fof(dt_f1_s1_msualg_6, axiom,  ( ~ (v2_struct_0(f1_s1_msualg_6))  &  ( ~ (v11_struct_0(f1_s1_msualg_6))  & l1_msualg_1(f1_s1_msualg_6)) ) ).
fof(dt_f2_s1_msualg_6, axiom,  (v4_msualg_1(f2_s1_msualg_6, f1_s1_msualg_6) & l3_msualg_1(f2_s1_msualg_6, f1_s1_msualg_6)) ).
fof(dt_f1_s2_msualg_6, axiom,  ~ (v1_xboole_0(f1_s2_msualg_6)) ).
fof(dt_f2_s2_msualg_6, axiom,  (v1_relat_1(f2_s2_msualg_6) &  (v2_relat_1(f2_s2_msualg_6) &  (v4_relat_1(f2_s2_msualg_6, f1_s2_msualg_6) &  (v1_funct_1(f2_s2_msualg_6) & v1_partfun1(f2_s2_msualg_6, f1_s2_msualg_6)) ) ) ) ).
fof(dt_f2_s3_msualg_6, axiom,  (v1_relat_1(f2_s3_msualg_6) &  (v4_relat_1(f2_s3_msualg_6, f1_s3_msualg_6) &  (v1_funct_1(f2_s3_msualg_6) & v1_partfun1(f2_s3_msualg_6, f1_s3_msualg_6)) ) ) ).
fof(dt_k5_msualg_6, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => m1_msualg_4(k5_msualg_6(A, B), A, B, B)) ) ).
fof(dt_f1_s4_msualg_6, axiom,  ( ~ (v2_struct_0(f1_s4_msualg_6))  &  ( ~ (v11_struct_0(f1_s4_msualg_6))  & l1_msualg_1(f1_s4_msualg_6)) ) ).
fof(dt_f2_s4_msualg_6, axiom,  (v4_msualg_1(f2_s4_msualg_6, f1_s4_msualg_6) & l3_msualg_1(f2_s4_msualg_6, f1_s4_msualg_6)) ).
fof(dt_f3_s4_msualg_6, axiom, m1_msualg_4(f3_s4_msualg_6, u1_struct_0(f1_s4_msualg_6), u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6))).
fof(dt_f4_s4_msualg_6, axiom, m1_msualg_4(f4_s4_msualg_6, u1_struct_0(f1_s4_msualg_6), u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6), u3_msualg_1(f1_s4_msualg_6, f2_s4_msualg_6))).
fof(dt_k6_msualg_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  =>  (v3_msualg_6(k6_msualg_6(A, B, C), A, B) & m1_msualg_4(k6_msualg_6(A, B, C), u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) ) ) ).
fof(dt_k7_msualg_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  =>  (v4_msualg_6(k7_msualg_6(A, B, C), A, B) & m1_msualg_4(k7_msualg_6(A, B, C), u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) ) ) ).
fof(dt_k8_msualg_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  =>  (v3_msualg_6(k8_msualg_6(A, B, C), A, B) &  (v4_msualg_6(k8_msualg_6(A, B, C), A, B) & m1_msualg_4(k8_msualg_6(A, B, C), u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) ) ) ) ).
fof(dt_k9_msualg_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  =>  (v2_msualg_4(k9_msualg_6(A, B, C), A, B) & m1_msualg_4(k9_msualg_6(A, B, C), u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) ) ) ).
fof(dt_k10_msualg_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  =>  (v2_msualg_4(k10_msualg_6(A, B, C), A, B) &  (v3_msualg_6(k10_msualg_6(A, B, C), A, B) &  (v4_msualg_6(k10_msualg_6(A, B, C), A, B) & m1_msualg_4(k10_msualg_6(A, B, C), u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) ) ) ) ) ).
fof(fc1_msualg_7, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  ( ~ (v2_struct_0(k5_msualg_5(A, B)))  &  (v3_lattices(k5_msualg_5(A, B)) &  (v10_lattices(k5_msualg_5(A, B)) & v15_lattices(k5_msualg_5(A, B))) ) ) ) ) ).
fof(fc2_msualg_7, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  ( ~ (v2_struct_0(k5_msualg_5(A, B)))  &  (v3_lattices(k5_msualg_5(A, B)) &  (v10_lattices(k5_msualg_5(A, B)) & v4_lattice3(k5_msualg_5(A, B))) ) ) ) ) ).
fof(rc1_msualg_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (? [B] :  (m2_nat_lat(B, A) &  ( ~ (v2_struct_0(B))  &  (v4_lattices(B) &  (v5_lattices(B) &  (v6_lattices(B) &  (v7_lattices(B) &  (v8_lattices(B) &  (v9_lattices(B) &  (v10_lattices(B) & v4_lattice3(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_msualg_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m2_nat_lat(B, A) =>  (v1_msualg_7(B, A) => v4_lattice3(B)) ) ) ) ) ).
fof(cc2_msualg_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m2_nat_lat(B, A) =>  (v2_msualg_7(B, A) => v4_lattice3(B)) ) ) ) ) ).
fof(t1_msualg_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v1_msualg_4(k2_msualg_3(A, B), A, B) & m1_msualg_4(k2_msualg_3(A, B), A, B, B)) ) ) ) ) ).
fof(t2_msualg_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v1_msualg_4(k6_pboole(A, B, B), A, B) & m1_msualg_4(k6_pboole(A, B, B), A, B, B)) ) ) ) ) ).
fof(t3_msualg_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => k5_lattices(k5_msualg_5(A, B))=k2_msualg_3(A, B)) ) ) ) ).
fof(t4_msualg_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => k6_lattices(k5_msualg_5(A, B))=k6_pboole(A, B, B)) ) ) ) ).
fof(t5_msualg_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k5_msualg_5(A, B)))) => m1_subset_1(C, k1_zfmisc_1(k1_closure2(A, k6_pboole(A, B, B))))) ) ) ) ) ) ).
fof(t6_msualg_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_msualg_5(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_msualg_5(A, B))) =>  (! [E] :  ( (v1_msualg_4(E, A, B) & m1_msualg_4(E, A, B, B))  =>  (! [F] :  ( (v1_msualg_4(F, A, B) & m1_msualg_4(F, A, B, B))  =>  ( (C=E & D=F)  =>  (r3_lattices(k5_msualg_5(A, B), C, D) <=> r2_pboole(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_msualg_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k5_msualg_5(A, B)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_closure2(A, k6_pboole(A, B, B)))) =>  (D=C =>  (! [E] :  ( (v1_msualg_4(E, A, B) & m1_msualg_4(E, A, B, B))  =>  (! [F] :  ( (v1_msualg_4(F, A, B) & m1_msualg_4(F, A, B, B))  =>  ( (r8_pboole(A, E, k4_mssubfam(A, k6_pboole(A, B, B), k5_closure2(A, k6_pboole(A, B, B), D))) & r2_tarski(F, C))  => r2_pboole(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_msualg_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k5_msualg_5(A, B)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_closure2(A, k6_pboole(A, B, B)))) =>  (D=C =>  (v1_xboole_0(C) |  (v1_msualg_4(k4_mssubfam(A, k6_pboole(A, B, B), k5_closure2(A, k6_pboole(A, B, B), D)), A, B) & m1_msualg_4(k4_mssubfam(A, k6_pboole(A, B, B), k5_closure2(A, k6_pboole(A, B, B), D)), A, B, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_msualg_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (v4_lattice3(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (r4_lattice3(A, C, B) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r4_lattice3(A, D, B) => r1_lattices(A, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_msualg_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => v4_lattice3(k5_msualg_5(A, B))) ) ) ) ).
fof(t10_msualg_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k5_msualg_5(A, B)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_closure2(A, k6_pboole(A, B, B)))) =>  (D=C =>  (v1_xboole_0(C) |  (! [E] :  ( (v1_msualg_4(E, A, B) & m1_msualg_4(E, A, B, B))  =>  (! [F] :  ( (v1_msualg_4(F, A, B) & m1_msualg_4(F, A, B, B))  =>  ( (r8_pboole(A, E, k4_mssubfam(A, k6_pboole(A, B, B), k5_closure2(A, k6_pboole(A, B, B), D))) & F=k16_lattice3(k5_msualg_5(A, B), C))  => r8_pboole(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_msualg_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m2_nat_lat(B, A) =>  (v1_msualg_7(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) => r2_tarski(k16_lattice3(A, C), u1_struct_0(B))) ) ) ) ) ) ) ).
fof(d3_msualg_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m2_nat_lat(B, A) =>  (v2_msualg_7(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) => r2_tarski(k15_lattice3(A, C), u1_struct_0(B))) ) ) ) ) ) ) ).
fof(t11_msualg_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m2_nat_lat(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( (C=E & D=F)  =>  (k3_lattices(A, C, D)=k3_lattices(B, E, F) & k4_lattices(A, C, D)=k4_lattices(B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_msualg_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m2_nat_lat(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (D=E =>  (r3_lattice3(A, D, C) <=> r3_lattice3(B, E, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_msualg_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m2_nat_lat(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (D=E =>  (r4_lattice3(A, D, C) <=> r4_lattice3(B, E, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_msualg_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m2_nat_lat(B, A) =>  (v1_msualg_7(B, A) => v4_lattice3(B)) ) ) ) ) ).
fof(t15_msualg_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m2_nat_lat(B, A) =>  (v2_msualg_7(B, A) => v4_lattice3(B)) ) ) ) ) ).
fof(t16_msualg_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m2_nat_lat(B, A) =>  (v1_msualg_7(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) => k16_lattice3(A, C)=k16_lattice3(B, C)) ) ) ) ) ) ) ).
fof(t17_msualg_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m2_nat_lat(B, A) =>  (v2_msualg_7(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) => k15_lattice3(A, C)=k15_lattice3(B, C)) ) ) ) ) ) ) ).
fof(t18_msualg_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m2_nat_lat(B, A) =>  (v1_msualg_7(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (C=D => k16_lattice3(A, C)=k16_lattice3(B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t19_msualg_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m2_nat_lat(B, A) =>  (v2_msualg_7(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (C=D => k15_lattice3(A, C)=k15_lattice3(B, D)) ) ) ) ) ) ) ) ) ) ).
fof(d4_msualg_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v3_lattices(C) &  (v10_lattices(C) & l3_lattices(C)) ) )  =>  (C=k1_msualg_7(A, B) <=>  (u1_struct_0(C)=k1_rcomp_1(A, B) &  (u2_lattices(C)=k1_realset1(k2_real_lat, k1_rcomp_1(A, B)) & u1_lattices(C)=k1_realset1(k1_real_lat, k1_rcomp_1(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(t20_msualg_7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) => v4_lattice3(k1_msualg_7(A, B))) ) ) ) ) ).
fof(t21_msualg_7, axiom,  (? [A] :  (m2_nat_lat(A, k1_msualg_7(k10_subset_1(k5_numbers, k1_numbers), k10_subset_1(1, k1_numbers))) &  (v2_msualg_7(A, k1_msualg_7(k10_subset_1(k5_numbers, k1_numbers), k10_subset_1(1, k1_numbers))) &  ~ (v1_msualg_7(A, k1_msualg_7(k10_subset_1(k5_numbers, k1_numbers), k10_subset_1(1, k1_numbers)))) ) ) ) ).
fof(t22_msualg_7, axiom,  (? [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  &  (? [B] :  (m2_nat_lat(B, A) &  (v2_msualg_7(B, A) &  ~ (v1_msualg_7(B, A)) ) ) ) ) ) ).
fof(t23_msualg_7, axiom,  (? [A] :  (m2_nat_lat(A, k1_msualg_7(k10_subset_1(k5_numbers, k1_numbers), k10_subset_1(1, k1_numbers))) &  (v1_msualg_7(A, k1_msualg_7(k10_subset_1(k5_numbers, k1_numbers), k10_subset_1(1, k1_numbers))) &  ~ (v2_msualg_7(A, k1_msualg_7(k10_subset_1(k5_numbers, k1_numbers), k10_subset_1(1, k1_numbers)))) ) ) ) ).
fof(t24_msualg_7, axiom,  (? [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  &  (? [B] :  (m2_nat_lat(B, A) &  (v1_msualg_7(B, A) &  ~ (v2_msualg_7(B, A)) ) ) ) ) ) ).
fof(dt_k1_msualg_7, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  =>  ( ~ (v2_struct_0(k1_msualg_7(A, B)))  &  (v3_lattices(k1_msualg_7(A, B)) &  (v10_lattices(k1_msualg_7(A, B)) & l3_lattices(k1_msualg_7(A, B))) ) ) ) ) ).
fof(fc1_msualg_8, axiom,  (! [A] :  ( ~ (v2_struct_0(k2_msualg_5(A)))  &  (v3_lattices(k2_msualg_5(A)) &  (v10_lattices(k2_msualg_5(A)) & v15_lattices(k2_msualg_5(A))) ) ) ) ).
fof(fc2_msualg_8, axiom,  (! [A] :  ( ~ (v2_struct_0(k2_msualg_5(A)))  &  (v3_lattices(k2_msualg_5(A)) &  (v10_lattices(k2_msualg_5(A)) & v4_lattice3(k2_msualg_5(A))) ) ) ) ).
fof(fc3_msualg_8, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  (v3_lattices(k6_msualg_5(A, B)) &  (v1_msualg_7(k6_msualg_5(A, B), k5_msualg_5(u1_struct_0(A), u3_msualg_1(A, B))) & v2_msualg_7(k6_msualg_5(A, B), k5_msualg_5(u1_struct_0(A), u3_msualg_1(A, B)))) ) ) ) ).
fof(t1_msualg_8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( (r1_xxreal_0(1, A) =>  (r1_xxreal_0(k3_finseq_1(B), A) |  (r2_tarski(A, k4_finseq_1(B)) & r2_tarski(k1_nat_1(A, 1), k4_finseq_1(B))) ) )  &  ( (r2_tarski(A, k4_finseq_1(B)) & r2_tarski(k1_nat_1(A, 1), k4_finseq_1(B)))  =>  (r1_xxreal_0(1, A) &  ~ (r1_xxreal_0(k3_finseq_1(B), A)) ) ) ) ) ) ) ) ).
fof(t2_msualg_8, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_msualg_5(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_msualg_5(A))) =>  (! [D] :  ( (v1_partfun1(D, A) &  (v3_relat_2(D) &  (v8_relat_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [E] :  ( (v1_partfun1(E, A) &  (v3_relat_2(E) &  (v8_relat_2(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  ( (B=D & C=E)  =>  (r3_lattices(k2_msualg_5(A), B, C) <=> r1_relset_1(A, A, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_msualg_8, axiom,  (! [A] : k5_lattices(k2_msualg_5(A))=k6_partfun1(A)) ).
fof(t4_msualg_8, axiom,  (! [A] : k6_lattices(k2_msualg_5(A))=k1_eqrel_1(A)) ).
fof(t5_msualg_8, axiom,  (! [A] : v4_lattice3(k2_msualg_5(A))) ).
fof(t6_msualg_8, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k2_msualg_5(A)))) => m1_subset_1(k3_tarski(B), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ).
fof(t7_msualg_8, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k2_msualg_5(A)))) => r1_tarski(k3_tarski(B), k15_lattice3(k2_msualg_5(A), B))) ) ) ).
fof(t8_msualg_8, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k2_msualg_5(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (C=k3_tarski(B) => k15_lattice3(k2_msualg_5(A), B)=k1_msualg_5(A, C)) ) ) ) ) ) ).
fof(t9_msualg_8, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k2_msualg_5(A)))) =>  (! [C] :  (v1_relat_1(C) =>  (C=k3_tarski(B) => C=k2_relat_1(C)) ) ) ) ) ) ).
fof(t10_msualg_8, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k2_msualg_5(C)))) =>  ( (r2_tarski(A, C) & r2_tarski(B, C))  =>  (r2_hidden(k4_tarski(A, B), k15_lattice3(k2_msualg_5(C), D)) <=>  (? [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  &  (r1_xxreal_0(1, k3_finseq_1(E)) &  (A=k1_funct_1(E, 1) &  (B=k1_funct_1(E, k3_finseq_1(E)) &  (! [F] :  (v7_ordinal1(F) =>  (r1_xxreal_0(1, F) =>  (r1_xxreal_0(k3_finseq_1(E), F) | r2_hidden(k4_tarski(k1_funct_1(E, F), k1_funct_1(E, k1_nat_1(F, 1))), k3_tarski(D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_msualg_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k6_msualg_5(A, B)))) =>  (v2_msualg_4(k16_lattice3(k5_msualg_5(u1_struct_0(A), u3_msualg_1(A, B)), C), A, B) &  (v3_msualg_4(k16_lattice3(k5_msualg_5(u1_struct_0(A), u3_msualg_1(A, B)), C), A, B) & m1_msualg_4(k16_lattice3(k5_msualg_5(u1_struct_0(A), u3_msualg_1(A, B)), C), u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) ) ) ) ) ) ) ) ).
fof(t12_msualg_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_msualg_5(u1_struct_0(A), u3_msualg_1(A, B)))) =>  ( (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  => k1_msualg_8(A, B, C)=C) ) ) ) ) ) ) ).
fof(t13_msualg_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k5_msualg_5(u1_struct_0(A), u3_msualg_1(A, B))))) => r8_pboole(u1_struct_0(A), k1_msualg_8(A, B, k15_lattice3(k5_msualg_5(u1_struct_0(A), u3_msualg_1(A, B)), C)), k2_msualg_8(A, B, C))) ) ) ) ) ) ).
fof(t14_msualg_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k6_msualg_5(A, B)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k6_msualg_5(A, B)))) =>  (! [E] :  ( (v2_msualg_4(E, A, B) &  (v3_msualg_4(E, A, B) & m1_msualg_4(E, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  =>  (! [F] :  ( (v2_msualg_4(F, A, B) &  (v3_msualg_4(F, A, B) & m1_msualg_4(F, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  =>  ( (E=k15_lattice3(k5_msualg_5(u1_struct_0(A), u3_msualg_1(A, B)), C) & F=k15_lattice3(k5_msualg_5(u1_struct_0(A), u3_msualg_1(A, B)), D))  => k4_msualg_5(u1_struct_0(A), u3_msualg_1(A, B), E, F)=k15_lattice3(k5_msualg_5(u1_struct_0(A), u3_msualg_1(A, B)), k4_subset_1(u1_struct_0(k6_msualg_5(A, B)), C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_msualg_8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_partfun1(D, k1_funct_1(B, C)) &  (v3_relat_2(D) &  (v8_relat_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(B, C), k1_funct_1(B, C))))) ) )  =>  (? [E] :  ( (v1_msualg_4(E, A, B) & m1_msualg_4(E, A, B, B))  &  (r2_relset_1(k1_funct_1(B, C), k1_funct_1(B, C), k1_msualg_4(A, B, B, E, C), D) &  (! [F] :  (m1_subset_1(F, A) =>  ( ~ (F=C)  => r2_relset_1(k1_funct_1(B, F), k1_funct_1(B, F), k1_msualg_4(A, B, B, E, F), k1_eqrel_1(k1_funct_1(B, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_msualg_8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k5_msualg_5(A, B)))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k2_msualg_5(k1_funct_1(B, C))))) =>  (E=k3_msualg_8(A, B, C, D) <=>  (! [F] :  (r2_tarski(F, E) <=>  (? [G] :  ( (v1_msualg_4(G, A, B) & m1_msualg_4(G, A, B, B))  &  (F=k1_msualg_4(A, B, B, G, C) & r2_tarski(G, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_msualg_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k5_msualg_5(u1_struct_0(A), u3_msualg_1(A, B))))) =>  (! [E] :  ( (v1_msualg_4(E, u1_struct_0(A), u3_msualg_1(A, B)) & m1_msualg_4(E, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)))  =>  (E=k15_lattice3(k5_msualg_5(u1_struct_0(A), u3_msualg_1(A, B)), D) => k1_msualg_4(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B), E, C)=k15_lattice3(k2_msualg_5(k1_funct_1(u3_msualg_1(A, B), C)), k3_msualg_8(u1_struct_0(A), u3_msualg_1(A, B), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_msualg_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k6_msualg_5(A, B)))) =>  (v2_msualg_4(k15_lattice3(k5_msualg_5(u1_struct_0(A), u3_msualg_1(A, B)), C), A, B) &  (v3_msualg_4(k15_lattice3(k5_msualg_5(u1_struct_0(A), u3_msualg_1(A, B)), C), A, B) & m1_msualg_4(k15_lattice3(k5_msualg_5(u1_struct_0(A), u3_msualg_1(A, B)), C), u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) ) ) ) ) ) ) ) ).
fof(t19_msualg_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  => v1_msualg_7(k6_msualg_5(A, B), k5_msualg_5(u1_struct_0(A), u3_msualg_1(A, B)))) ) ) ) ).
fof(t20_msualg_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  => v2_msualg_7(k6_msualg_5(A, B), k5_msualg_5(u1_struct_0(A), u3_msualg_1(A, B)))) ) ) ) ).
fof(s1_msualg_8, axiom,  ( (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ~ ( (r2_tarski(A, k2_finseq_1(f1_s1_msualg_8)) &  (! [B] :  ~ (p1_s1_msualg_8(A, B)) ) ) ) ) )  =>  (? [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (k4_finseq_1(A)=k2_finseq_1(f1_s1_msualg_8) &  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (r2_tarski(B, k2_finseq_1(f1_s1_msualg_8)) => p1_s1_msualg_8(B, k1_funct_1(A, B))) ) ) ) ) ) ) ).
fof(dt_f1_s1_msualg_8, axiom, m1_subset_1(f1_s1_msualg_8, k4_ordinal1)).
fof(dt_k1_msualg_8, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  & m1_subset_1(C, u1_struct_0(k5_msualg_5(u1_struct_0(A), u3_msualg_1(A, B))))) )  =>  (v2_msualg_4(k1_msualg_8(A, B, C), A, B) &  (v3_msualg_4(k1_msualg_8(A, B, C), A, B) & m1_msualg_4(k1_msualg_8(A, B, C), u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) ) ) ) ).
fof(dt_k2_msualg_8, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k5_msualg_5(u1_struct_0(A), u3_msualg_1(A, B)))))) )  =>  (v2_msualg_4(k2_msualg_8(A, B, C), A, B) &  (v3_msualg_4(k2_msualg_8(A, B, C), A, B) & m1_msualg_4(k2_msualg_8(A, B, C), u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) ) ) ) ).
fof(dt_k3_msualg_8, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (m1_subset_1(C, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k5_msualg_5(A, B))))) ) )  => m1_subset_1(k3_msualg_8(A, B, C, D), k1_zfmisc_1(u1_struct_0(k2_msualg_5(k1_funct_1(B, C)))))) ) ).
fof(redefinition_k3_msualg_8, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (m1_subset_1(C, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k5_msualg_5(A, B))))) ) )  => k3_msualg_8(A, B, C, D)=k5_card_3(C, D)) ) ).
fof(d1_msualg_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_msualg_5(u1_struct_0(A), u3_msualg_1(A, B)))) => k1_msualg_8(A, B, C)=k16_lattice3(k5_msualg_5(u1_struct_0(A), u3_msualg_1(A, B)), a_3_0_msualg_8(A, B, C))) ) ) ) ) ) ).
fof(d2_msualg_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k5_msualg_5(u1_struct_0(A), u3_msualg_1(A, B))))) => k2_msualg_8(A, B, C)=k16_lattice3(k5_msualg_5(u1_struct_0(A), u3_msualg_1(A, B)), a_3_1_msualg_8(A, B, C))) ) ) ) ) ) ).
fof(t15_msualg_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k6_msualg_5(A, B)))) => k15_lattice3(k5_msualg_5(u1_struct_0(A), u3_msualg_1(A, B)), C)=k15_lattice3(k5_msualg_5(u1_struct_0(A), u3_msualg_1(A, B)), a_3_2_msualg_8(A, B, C))) ) ) ) ) ) ).
fof(fraenkel_a_3_0_msualg_8, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  &  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  & m1_subset_1(D, u1_struct_0(k5_msualg_5(u1_struct_0(B), u3_msualg_1(B, C))))) )  =>  (r2_hidden(A, a_3_0_msualg_8(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(k5_msualg_5(u1_struct_0(B), u3_msualg_1(B, C)))) &  (A=E &  ( (v2_msualg_4(E, B, C) &  (v3_msualg_4(E, B, C) & m1_msualg_4(E, u1_struct_0(B), u3_msualg_1(B, C), u3_msualg_1(B, C))) )  & r3_lattices(k5_msualg_5(u1_struct_0(B), u3_msualg_1(B, C)), D, E)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_msualg_8, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  &  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k5_msualg_5(u1_struct_0(B), u3_msualg_1(B, C)))))) )  =>  (r2_hidden(A, a_3_1_msualg_8(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(k5_msualg_5(u1_struct_0(B), u3_msualg_1(B, C)))) &  (A=E &  ( (v2_msualg_4(E, B, C) &  (v3_msualg_4(E, B, C) & m1_msualg_4(E, u1_struct_0(B), u3_msualg_1(B, C), u3_msualg_1(B, C))) )  & r4_lattice3(k5_msualg_5(u1_struct_0(B), u3_msualg_1(B, C)), E, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_2_msualg_8, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  &  ( (v4_msualg_1(C, B) & l3_msualg_1(C, B))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k6_msualg_5(B, C))))) )  =>  (r2_hidden(A, a_3_2_msualg_8(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k5_msualg_5(u1_struct_0(B), u3_msualg_1(B, C))))) &  (A=k15_lattice3(k5_msualg_5(u1_struct_0(B), u3_msualg_1(B, C)), E) &  (v1_finset_1(E) & m1_subset_1(E, k1_zfmisc_1(D))) ) ) ) ) ) ) ).
fof(rc1_msualg_9, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (? [C] :  (m1_subset_1(C, k6_closure2(A, B)) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v2_finset_1(C)) ) ) ) ) ) ) ) ).
fof(rc2_msualg_9, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (? [C] :  (m3_pboole(C, A, B) &  (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v2_finset_1(C)) ) ) ) ) ) ) ) ) ).
fof(cc1_msualg_9, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  & m1_subset_1(C, u4_struct_0(A))) )  =>  (! [D] :  (m1_subset_1(D, k3_msualg_1(A, C, B)) => v1_finseq_1(D)) ) ) ) ).
fof(cc2_msualg_9, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (m1_subset_1(C, u1_struct_0(A)) & m1_pralg_2(D, B, A)) )  =>  (! [E] :  (m1_subset_1(E, k1_funct_1(k10_pralg_2(B, A, D), C)) =>  (v1_relat_1(E) & v1_funct_1(E)) ) ) ) ) ).
fof(fc1_msualg_9, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (v2_relat_1(k13_msafree(A, B)) & v1_msafree(k13_msafree(A, B), A, k11_msafree(A, B))) ) ) ).
fof(fc2_msualg_9, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  => v2_msafree(k11_msafree(A, B), A)) ) ).
fof(fc3_msualg_9, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  (v4_msualg_1(C, A) & l3_msualg_1(C, A)) ) )  => v4_msualg_1(k8_pralg_2(A, B, C), A)) ) ).
fof(fc4_msualg_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (v1_relat_1(u3_msualg_1(A, k7_msafree2(A))) &  (v2_relat_1(u3_msualg_1(A, k7_msafree2(A))) &  (v4_relat_1(u3_msualg_1(A, k7_msafree2(A)), u1_struct_0(A)) &  (v1_funct_1(u3_msualg_1(A, k7_msafree2(A))) &  (v1_partfun1(u3_msualg_1(A, k7_msafree2(A)), u1_struct_0(A)) & v2_finset_1(u3_msualg_1(A, k7_msafree2(A)))) ) ) ) ) ) ) ).
fof(fc5_msualg_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (v3_msualg_1(k7_msafree2(A), A) &  (v4_msualg_1(k7_msafree2(A), A) & v4_msafree2(k7_msafree2(A), A)) ) ) ) ).
fof(t1_msualg_9, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (r2_tarski(A, k9_xtuple_0(D)) & r2_tarski(k1_funct_1(D, A), k2_zfmisc_1(B, C)))  => k1_funct_1(D, A)=k4_tarski(k1_funct_1(k11_mcart_1(D), A), k1_funct_1(k12_mcart_1(D), A))) ) ) ) ) ) ).
fof(t2_msualg_9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_tarski(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_tarski(B))))) )  => k2_relset_1(k1_tarski(B), C)=k1_tarski(B)) ) ) ) ) ).
fof(t3_msualg_9, axiom,  (! [A] : r1_tarski(k8_eqrel_1(A, k1_eqrel_1(A)), k1_tarski(A))) ).
fof(t4_msualg_9, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k8_eqrel_1(A, k1_eqrel_1(A))=k1_tarski(A)) ) ).
fof(t5_msualg_9, axiom,  (! [A] :  (! [B] :  (? [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, B)) ) )  & r6_pboole(B, k1_pzfmisc1(B, C), k7_funcop_1(B, k1_tarski(A)))) ) ) ) ).
fof(t6_msualg_9, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (? [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  & r2_pboole(A, B, C)) ) ) ) ) ).
fof(t7_msualg_9, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  ( (v2_finset_1(C) & m3_pboole(C, A, B))  =>  (? [D] :  ( (v2_relat_1(D) &  (v2_finset_1(D) & m3_pboole(D, A, B)) )  & r2_pboole(A, C, D)) ) ) ) ) ) ) ).
fof(t8_msualg_9, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  (m2_pboole(D, A, B, k1_pzfmisc1(A, C)) =>  (! [E] :  (m2_pboole(E, A, B, k1_pzfmisc1(A, C)) => r6_pboole(A, D, E)) ) ) ) ) ) ) ) ) ).
fof(t9_msualg_9, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  (m2_pboole(D, A, B, k1_pzfmisc1(A, C)) => v2_msualg_3(D, A, B, k1_pzfmisc1(A, C))) ) ) ) ) ) ) ).
fof(t10_msualg_9, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  (m2_pboole(D, A, k1_pzfmisc1(A, B), C) => v1_msualg_3(D)) ) ) ) ) ) ) ).
fof(t11_msualg_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  => v1_msualg_3(k15_msafree(A, B))) ) ) ) ).
fof(t12_msualg_9, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v2_finset_1(B)) ) ) ) )  =>  (? [C] :  (m2_pboole(C, A, k7_funcop_1(A, k4_ordinal1), B) & v2_msualg_3(C, A, k7_funcop_1(A, k4_ordinal1), B)) ) ) ) ) ).
fof(t13_msualg_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k4_card_3(u3_msualg_1(A, B))) =>  (! [D] :  (m1_subset_1(D, k4_card_3(u3_msualg_1(A, B))) =>  ( (! [E] : k1_funct_1(k12_card_3(u3_msualg_1(A, B), E), C)=k1_funct_1(k12_card_3(u3_msualg_1(A, B), E), D))  => r8_pboole(u1_struct_0(A), C, D)) ) ) ) ) ) ) ) ) ).
fof(t14_msualg_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_pralg_2(D, B, A) =>  (! [E] :  (m1_subset_1(E, k4_card_3(k9_pralg_2(B, A, C, D))) =>  (! [F] :  (m1_subset_1(F, k4_card_3(k9_pralg_2(B, A, C, D))) =>  ( (! [G] :  (m1_subset_1(G, B) => k1_funct_1(k12_card_3(k9_pralg_2(B, A, C, D), G), E)=k1_funct_1(k12_card_3(k9_pralg_2(B, A, C, D), G), F)) )  => r8_pboole(B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_msualg_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  ( (v4_msualg_1(D, A) & m1_msualg_2(D, A, B))  =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D)) =>  (r1_msualg_3(A, C, D, E) =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, B)) =>  (r8_pboole(u1_struct_0(A), E, F) => r1_msualg_3(A, C, B, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_msualg_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (r3_msualg_3(A, B, C, D) => r6_msualg_3(A, B, k6_msualg_3(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t17_msualg_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (v2_msualg_3(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k3_msualg_1(A, E, C)) =>  (? [G] :  (m1_subset_1(G, k3_msualg_1(A, E, B)) & k5_msualg_3(A, B, C, E, D, G)=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_msualg_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k3_msualg_1(A, C, B)) => r2_tarski(k3_funct_2(k3_msualg_1(A, C, B), k4_msualg_1(A, C, B), k5_msualg_1(A, C, B), D), k1_funct_1(u3_msualg_1(A, B), k2_msualg_1(A, C)))) ) ) ) ) ) ) ) ).
fof(t19_msualg_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  ( (v4_msualg_1(D, A) & l3_msualg_1(D, A))  =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, D)) =>  ( (r2_msualg_3(A, B, C, E) & r1_msualg_3(A, B, D, F))  =>  (! [G] :  (m2_pboole(G, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D)) =>  (r8_pboole(u1_struct_0(A), k3_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C), u3_msualg_1(A, D), E, G), F) => r1_msualg_3(A, C, D, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_msualg_9, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) ) )  =>  (! [E] :  (m2_pboole(E, A, B, k6_pboole(A, C, D)) =>  (! [F] :  (m2_pboole(F, A, B, C) =>  (F=k1_msualg_9(A, B, C, D, E) <=>  (! [G] :  (r2_tarski(G, A) => k1_funct_1(F, G)=k11_mcart_1(k1_funct_1(E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_msualg_9, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) ) )  =>  (! [E] :  (m2_pboole(E, A, B, k6_pboole(A, C, D)) =>  (! [F] :  (m2_pboole(F, A, B, D) =>  (F=k2_msualg_9(A, B, C, D, E) <=>  (! [G] :  (r2_tarski(G, A) => k1_funct_1(F, G)=k12_mcart_1(k1_funct_1(E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_msualg_9, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, B)) ) )  =>  (! [D] :  (m2_pboole(D, B, C, k6_pboole(B, k7_funcop_1(B, k1_tarski(A)), k7_funcop_1(B, k1_tarski(A)))) => r6_pboole(B, k1_msualg_9(B, C, k7_funcop_1(B, k1_tarski(A)), k7_funcop_1(B, k1_tarski(A)), D), k2_msualg_9(B, C, k7_funcop_1(B, k1_tarski(A)), k7_funcop_1(B, k1_tarski(A)), D))) ) ) ) ) ) ).
fof(t21_msualg_9, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) ) )  =>  (! [E] :  (m2_pboole(E, A, B, k6_pboole(A, C, D)) =>  (v2_msualg_3(E, A, B, k6_pboole(A, C, D)) => v2_msualg_3(k1_msualg_9(A, B, C, D, E), A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t22_msualg_9, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) ) )  =>  (! [E] :  (m2_pboole(E, A, B, k6_pboole(A, C, D)) =>  (v2_msualg_3(E, A, B, k6_pboole(A, C, D)) => v2_msualg_3(k2_msualg_9(A, B, C, D, E), A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t23_msualg_9, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v2_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) ) )  =>  (! [F] :  (m2_pboole(F, A, B, k6_pboole(A, D, E)) =>  (r1_pboole(A, C, k1_funct_6(F)) =>  (! [G] :  (r2_tarski(G, A) => k1_funct_1(k16_pralg_1(A, F, C), G)=k4_tarski(k1_funct_1(k16_pralg_1(A, k1_msualg_9(A, B, D, E, F), C), G), k1_funct_1(k16_pralg_1(A, k2_msualg_9(A, B, D, E, F), C), G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_msualg_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m2_pboole(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, k7_msafree2(A))) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k3_msualg_1(A, D, B)) =>  (k1_funct_1(k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, k7_msafree2(A)), C, k2_msualg_1(A, D)), k3_funct_2(k3_msualg_1(A, D, B), k4_msualg_1(A, D, B), k5_msualg_1(A, D, B), E))=k5_numbers & k3_funct_2(k3_msualg_1(A, D, k7_msafree2(A)), k4_msualg_1(A, D, k7_msafree2(A)), k5_msualg_1(A, D, k7_msafree2(A)), k5_msualg_3(A, B, k7_msafree2(A), D, C, E))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_msualg_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m2_pboole(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, k7_msafree2(A))) => r2_msualg_3(A, B, k7_msafree2(A), C)) ) ) ) ) ) ).
fof(t26_msualg_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  ( (? [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) )  & r8_pboole(u1_struct_0(A), u3_msualg_1(A, B), k1_pzfmisc1(u1_struct_0(A), C))) )  => r6_msualg_3(A, B, k7_msafree2(A))) ) ) ) ) ).
fof(t27_msualg_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  => m3_pboole(C, u1_struct_0(A), k6_pboole(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)))) ) ) ) ) ) ).
fof(t28_msualg_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k6_msualg_5(A, B)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_closure2(u1_struct_0(A), k6_pboole(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))))) =>  (C=D =>  (v2_msualg_4(k4_mssubfam(u1_struct_0(A), k6_pboole(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)), k5_closure2(u1_struct_0(A), k6_pboole(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)), D)), A, B) &  (v3_msualg_4(k4_mssubfam(u1_struct_0(A), k6_pboole(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)), k5_closure2(u1_struct_0(A), k6_pboole(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)), D)), A, B) & m1_msualg_4(k4_mssubfam(u1_struct_0(A), k6_pboole(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)), k5_closure2(u1_struct_0(A), k6_pboole(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)), D)), u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_msualg_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  =>  (r8_pboole(u1_struct_0(A), C, k6_pboole(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) => r8_pboole(u1_struct_0(A), u3_msualg_1(A, k13_msualg_4(A, B, C)), k1_pzfmisc1(u1_struct_0(A), u3_msualg_1(A, B)))) ) ) ) ) ) ) ).
fof(t30_msualg_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (r1_msualg_3(A, B, C, D) => r8_pboole(u1_struct_0(A), k3_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, k13_msualg_4(A, B, k17_msualg_4(A, B, C, D))), u3_msualg_1(A, C), k15_msualg_4(A, B, k17_msualg_4(A, B, C, D)), k19_msualg_4(A, B, C, D)), D)) ) ) ) ) ) ) ) ) ).
fof(t31_msualg_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, k13_msualg_4(A, B, C)), D)) =>  (? [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, B), D)) & E=k3_msualg_4(A, B, C, D, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_msualg_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  ( (v2_msualg_4(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)))  =>  (! [D] :  ( (v2_msualg_4(D, A, B) & m1_msualg_4(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)))  =>  (r2_pboole(u1_struct_0(A), C, D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, B), E)) =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, B), E)) =>  (r2_hidden(k4_tarski(F, G), k2_msualg_4(A, B, C, E)) =>  (r1_tarski(k3_msualg_4(A, B, C, E, F), k3_msualg_4(A, B, D, E, G)) &  (v4_msualg_1(B, A) => r1_tarski(k3_msualg_4(A, B, C, E, G), k3_msualg_4(A, B, D, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_msualg_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, B), D)) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, B), D)) =>  (k3_funct_2(k1_funct_1(u3_msualg_1(A, B), D), k1_funct_1(u3_msualg_1(A, k13_msualg_4(A, B, C)), D), k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, k13_msualg_4(A, B, C)), k15_msualg_4(A, B, C), D), E)=k3_funct_2(k1_funct_1(u3_msualg_1(A, B), D), k1_funct_1(u3_msualg_1(A, k13_msualg_4(A, B, C)), D), k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, k13_msualg_4(A, B, C)), k15_msualg_4(A, B, C), D), F) <=> r2_hidden(k4_tarski(E, F), k2_msualg_4(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_msualg_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  =>  (! [D] :  ( (v2_msualg_4(D, A, B) &  (v3_msualg_4(D, A, B) & m1_msualg_4(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, k13_msualg_4(A, B, C)), u3_msualg_1(A, k13_msualg_4(A, B, D))) =>  ( (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, k13_msualg_4(A, B, C)), F)) =>  (! [H] :  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, B), F)) =>  (G=k3_msualg_4(A, B, C, F, H) => k3_funct_2(k1_funct_1(u3_msualg_1(A, k13_msualg_4(A, B, C)), F), k1_funct_1(u3_msualg_1(A, k13_msualg_4(A, B, D)), F), k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, k13_msualg_4(A, B, C)), u3_msualg_1(A, k13_msualg_4(A, B, D)), E, F), G)=k3_msualg_4(A, B, D, F, H)) ) ) ) ) ) )  => r8_pboole(u1_struct_0(A), k3_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, k13_msualg_4(A, B, C)), u3_msualg_1(A, k13_msualg_4(A, B, D)), k15_msualg_4(A, B, C), E), k15_msualg_4(A, B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_msualg_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  =>  (! [D] :  ( (v2_msualg_4(D, A, B) &  (v3_msualg_4(D, A, B) & m1_msualg_4(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, k13_msualg_4(A, B, C)), u3_msualg_1(A, k13_msualg_4(A, B, D))) =>  ( (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, k13_msualg_4(A, B, C)), F)) =>  (! [H] :  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, B), F)) =>  (G=k3_msualg_4(A, B, C, F, H) => k3_funct_2(k1_funct_1(u3_msualg_1(A, k13_msualg_4(A, B, C)), F), k1_funct_1(u3_msualg_1(A, k13_msualg_4(A, B, D)), F), k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, k13_msualg_4(A, B, C)), u3_msualg_1(A, k13_msualg_4(A, B, D)), E, F), G)=k3_msualg_4(A, B, D, F, H)) ) ) ) ) ) )  => r2_msualg_3(A, k13_msualg_4(A, B, C), k13_msualg_4(A, B, D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_msualg_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (r1_msualg_3(A, B, C, D) =>  (! [E] :  ( (v2_msualg_4(E, A, B) &  (v3_msualg_4(E, A, B) & m1_msualg_4(E, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) )  =>  ~ ( (r2_pboole(u1_struct_0(A), E, k17_msualg_4(A, B, C, D)) &  (! [F] :  (m2_pboole(F, u1_struct_0(A), u3_msualg_1(A, k13_msualg_4(A, B, E)), u3_msualg_1(A, C)) =>  ~ ( (r1_msualg_3(A, k13_msualg_4(A, B, E), C, F) & r8_pboole(u1_struct_0(A), D, k3_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, k13_msualg_4(A, B, E)), u3_msualg_1(A, C), k15_msualg_4(A, B, E), F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_msualg_9, axiom,  (! [A, B, C, D, E] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  &  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) ) )  & m2_pboole(E, A, B, k6_pboole(A, C, D))) ) )  => m2_pboole(k1_msualg_9(A, B, C, D, E), A, B, C)) ) ).
fof(dt_k2_msualg_9, axiom,  (! [A, B, C, D, E] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  &  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) ) )  & m2_pboole(E, A, B, k6_pboole(A, C, D))) ) )  => m2_pboole(k2_msualg_9(A, B, C, D, E), A, B, D)) ) ).
fof(t1_msuhom_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (r1_tarski(k10_xtuple_0(A), C) => k3_relat_1(A, k5_relat_1(B, C))=k3_relat_1(A, B)) ) ) ) ) ) ).
fof(t2_msuhom_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => r1_tarski(k3_finseq_2(B), k3_finseq_2(A))) ) ) ).
fof(t3_msuhom_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (v1_funcop_1(A) => v1_funcop_1(k5_relat_1(A, B))) ) ) ) ).
fof(t4_msuhom_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => k6_finseq_2(B, k5_relat_1(C, B))=k5_relat_1(k6_finseq_2(A, C), k3_finseq_2(B))) ) ) ) ) ).
fof(d1_msuhom_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (r1_msuhom_1(A, B) <=>  (r1_tarski(u1_struct_0(A), u1_struct_0(B)) &  (r1_tarski(u4_struct_0(A), u4_struct_0(B)) &  (k2_partfun1(u4_struct_0(B), k3_finseq_2(u1_struct_0(B)), u1_msualg_1(B), u4_struct_0(A))=u1_msualg_1(A) & k2_partfun1(u4_struct_0(B), u1_struct_0(B), u2_msualg_1(B), u4_struct_0(A))=u2_msualg_1(A)) ) ) ) ) ) ) ) ).
fof(t5_msuhom_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_msualg_1(C))  =>  ( (r1_msuhom_1(A, B) & r1_msuhom_1(B, C))  => r1_msuhom_1(A, C)) ) ) ) ) ) ) ).
fof(t6_msuhom_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_msualg_1(A) & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_msualg_1(B) & l1_msualg_1(B)) )  =>  ( (r1_msuhom_1(A, B) & r1_msuhom_1(B, A))  => A=B) ) ) ) ) ).
fof(t7_msuhom_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, A))  => k1_funct_1(k17_funcop_1(D, C), k7_partfun1(B, k5_finseq_2(B, A, D), E))=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_msuhom_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (! [E] :  (m2_pboole(E, A, C, D) =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, B) &  (v1_funct_1(F) & v1_partfun1(F, B)) ) )  =>  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, B) &  (v1_funct_1(G) & v1_partfun1(G, B)) ) )  =>  ( (r6_pboole(B, F, k5_relat_1(C, B)) & r6_pboole(B, G, k5_relat_1(D, B)))  => m2_pboole(k5_relat_1(E, B), B, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_msuhom_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_msualg_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_msualg_1(B) & l1_msualg_1(B)) ) )  =>  (! [C] :  ( (v3_msualg_1(C, B) &  (v4_msualg_1(C, B) & l3_msualg_1(C, B)) )  =>  (r1_msuhom_1(A, B) =>  (! [D] :  ( (v3_msualg_1(D, A) &  (v4_msualg_1(D, A) & l3_msualg_1(D, A)) )  =>  (D=k1_msuhom_1(A, B, C) <=>  (u3_msualg_1(A, D)=k5_relat_1(u3_msualg_1(B, C), u1_struct_0(A)) & u4_msualg_1(A, D)=k5_relat_1(u4_msualg_1(B, C), u4_struct_0(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_msuhom_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_msualg_1(A) & l1_msualg_1(A)) ) )  =>  (! [B] :  ( (v3_msualg_1(B, A) &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  => B=k1_msuhom_1(A, A, B)) ) ) ) ).
fof(t10_msuhom_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (r1_unialg_2(A, B) => k6_msualg_1(A)=k6_msualg_1(B)) ) ) ) ) ).
fof(d3_msuhom_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (k6_msualg_1(A)=k6_msualg_1(B) => k2_msuhom_1(A, B, C)=k17_funcop_1(k5_numbers, C)) ) ) ) ) ) ) ).
fof(t11_msuhom_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (r1_unialg_2(A, B) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(k6_msualg_1(A))) => r1_funct_2(k1_funct_1(u3_msualg_1(k6_msualg_1(A), k9_msualg_1(A)), k2_msualg_1(k6_msualg_1(A), D)), k1_funct_1(u3_msualg_1(k6_msualg_1(A), k1_msuhom_1(k6_msualg_1(A), k6_msualg_1(B), k9_msualg_1(B))), k2_msualg_1(k6_msualg_1(A), D)), u1_struct_0(A), u1_struct_0(B), k1_msualg_3(u1_struct_0(k6_msualg_1(A)), u3_msualg_1(k6_msualg_1(A), k9_msualg_1(A)), u3_msualg_1(k6_msualg_1(A), k1_msuhom_1(k6_msualg_1(A), k6_msualg_1(B), k9_msualg_1(B))), k2_msuhom_1(A, B, C), k2_msualg_1(k6_msualg_1(A), D)), C)) ) ) ) ) ) ) ) ) ).
fof(t12_msuhom_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(k6_msualg_1(A))) => k5_msualg_1(k6_msualg_1(A), B, k9_msualg_1(A))=k1_funct_1(u1_unialg_1(A), B)) ) ) ) ).
fof(t13_msuhom_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(k6_msualg_1(A))) => m5_margrel1(k5_msualg_1(k6_msualg_1(A), B, k9_msualg_1(A)), u1_struct_0(A), k1_unialg_2(A))) ) ) ) ).
fof(t14_msuhom_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(k6_msualg_1(A))) =>  (! [C] :  (m1_subset_1(C, k3_msualg_1(k6_msualg_1(A), B, k9_msualg_1(A))) => m2_finseq_1(C, u1_struct_0(A))) ) ) ) ) ) ).
fof(t15_msuhom_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (r1_unialg_2(A, B) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(k6_msualg_1(A))) =>  (! [E] :  (m1_subset_1(E, k3_msualg_1(k6_msualg_1(A), D, k9_msualg_1(A))) => k5_msualg_3(k6_msualg_1(A), k9_msualg_1(A), k1_msuhom_1(k6_msualg_1(A), k6_msualg_1(B), k9_msualg_1(B)), D, k2_msuhom_1(A, B, C), E)=k3_relat_1(E, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_msuhom_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (r1_alg_1(A, B, C) => r1_msualg_3(k6_msualg_1(A), k9_msualg_1(A), k1_msuhom_1(k6_msualg_1(A), k6_msualg_1(B), k9_msualg_1(B)), k2_msuhom_1(A, B, C))) ) ) ) ) ) ) ).
fof(t17_msuhom_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (r1_unialg_2(A, B) =>  (v1_relat_1(k2_msuhom_1(A, B, C)) &  (v4_relat_1(k2_msuhom_1(A, B, C), k1_tarski(k5_numbers)) &  (v1_funct_1(k2_msuhom_1(A, B, C)) & v1_partfun1(k2_msuhom_1(A, B, C), k1_tarski(k5_numbers))) ) ) ) ) ) ) ) ) ) ).
fof(t18_msuhom_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (r3_alg_1(A, B, C) => r2_msualg_3(k6_msualg_1(A), k9_msualg_1(A), k1_msuhom_1(k6_msualg_1(A), k6_msualg_1(B), k9_msualg_1(B)), k2_msuhom_1(A, B, C))) ) ) ) ) ) ) ).
fof(t19_msuhom_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (r2_alg_1(A, B, C) => r3_msualg_3(k6_msualg_1(A), k9_msualg_1(A), k1_msuhom_1(k6_msualg_1(A), k6_msualg_1(B), k9_msualg_1(B)), k2_msuhom_1(A, B, C))) ) ) ) ) ) ) ).
fof(t20_msuhom_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (r4_alg_1(A, B, C) => r4_msualg_3(k6_msualg_1(A), k9_msualg_1(A), k1_msuhom_1(k6_msualg_1(A), k6_msualg_1(B), k9_msualg_1(B)), k2_msuhom_1(A, B, C))) ) ) ) ) ) ) ).
fof(t21_msuhom_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ( (r1_unialg_2(A, B) & r1_msualg_3(k6_msualg_1(A), k9_msualg_1(A), k1_msuhom_1(k6_msualg_1(A), k6_msualg_1(B), k9_msualg_1(B)), k2_msuhom_1(A, B, C)))  => r1_alg_1(A, B, C)) ) ) ) ) ) ) ).
fof(t22_msuhom_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ( (r1_unialg_2(A, B) & r2_msualg_3(k6_msualg_1(A), k9_msualg_1(A), k1_msuhom_1(k6_msualg_1(A), k6_msualg_1(B), k9_msualg_1(B)), k2_msuhom_1(A, B, C)))  => r3_alg_1(A, B, C)) ) ) ) ) ) ) ).
fof(t23_msuhom_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ( (r1_unialg_2(A, B) & r3_msualg_3(k6_msualg_1(A), k9_msualg_1(A), k1_msuhom_1(k6_msualg_1(A), k6_msualg_1(B), k9_msualg_1(B)), k2_msuhom_1(A, B, C)))  => r2_alg_1(A, B, C)) ) ) ) ) ) ) ).
fof(t24_msuhom_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ( (r1_unialg_2(A, B) & r4_msualg_3(k6_msualg_1(A), k9_msualg_1(A), k1_msuhom_1(k6_msualg_1(A), k6_msualg_1(B), k9_msualg_1(B)), k2_msuhom_1(A, B, C)))  => r4_alg_1(A, B, C)) ) ) ) ) ) ) ).
fof(t25_msuhom_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  => r8_pboole(u1_struct_0(k6_msualg_1(A)), k2_msuhom_1(A, A, k6_partfun1(u1_struct_0(A))), k2_msualg_3(u1_struct_0(k6_msualg_1(A)), u3_msualg_1(k6_msualg_1(A), k9_msualg_1(A))))) ) ).
fof(t26_msuhom_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_unialg_1(C) &  (v3_unialg_1(C) &  (v4_unialg_1(C) & l1_unialg_1(C)) ) ) )  =>  ( (r1_unialg_2(A, B) & r1_unialg_2(B, C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  => k8_pboole(k2_msuhom_1(A, B, D), k2_msuhom_1(B, C, E))=k2_msuhom_1(A, C, k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(reflexivity_r1_msuhom_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  &  ( ~ (v2_struct_0(B))  & l1_msualg_1(B)) )  => r1_msuhom_1(A, A)) ) ).
fof(dt_k1_msuhom_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_msualg_1(A) & l1_msualg_1(A)) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_msualg_1(B) & l1_msualg_1(B)) ) )  &  (v3_msualg_1(C, B) &  (v4_msualg_1(C, B) & l3_msualg_1(C, B)) ) ) )  =>  (v3_msualg_1(k1_msuhom_1(A, B, C), A) &  (v4_msualg_1(k1_msuhom_1(A, B, C), A) & l3_msualg_1(k1_msuhom_1(A, B, C), A)) ) ) ) ).
fof(dt_k2_msuhom_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  => m2_pboole(k2_msuhom_1(A, B, C), u1_struct_0(k6_msualg_1(A)), u3_msualg_1(k6_msualg_1(A), k9_msualg_1(A)), u3_msualg_1(k6_msualg_1(A), k1_msuhom_1(k6_msualg_1(A), k6_msualg_1(B), k9_msualg_1(B))))) ) ).
fof(d1_multop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (! [D] : k1_multop_1(A, B, C, D)=k1_funct_1(A, k3_xtuple_0(B, C, D))) ) ) ) ) ).
fof(t1_multop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k3_zfmisc_1(B, C, D), A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(B, C, D), A)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k3_zfmisc_1(B, C, D), A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(B, C, D), A)))) )  =>  ( (! [G] :  (! [H] :  (! [I] :  ( (r2_hidden(G, B) &  (r2_hidden(H, C) & r2_hidden(I, D)) )  => k1_funct_1(E, k3_xtuple_0(G, H, I))=k1_funct_1(F, k3_xtuple_0(G, H, I))) ) ) )  => r2_funct_2(k3_zfmisc_1(B, C, D), A, E, F)) ) ) ) ) ) ) ) ) ) ).
fof(t2_multop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k3_zfmisc_1(A, B, C), D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(A, B, C), D)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k3_zfmisc_1(A, B, C), D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(A, B, C), D)))) )  =>  ( (! [G] :  (m1_subset_1(G, A) =>  (! [H] :  (m1_subset_1(H, B) =>  (! [I] :  (m1_subset_1(I, C) => k3_funct_2(k3_zfmisc_1(A, B, C), D, E, k4_domain_1(A, B, C, G, H, I))=k3_funct_2(k3_zfmisc_1(A, B, C), D, F, k4_domain_1(A, B, C, G, H, I))) ) ) ) ) )  => r2_funct_2(k3_zfmisc_1(A, B, C), D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_multop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k3_zfmisc_1(A, B, C), D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(A, B, C), D)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k3_zfmisc_1(A, B, C), D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(A, B, C), D)))) )  =>  ( (! [G] :  (m1_subset_1(G, A) =>  (! [H] :  (m1_subset_1(H, B) =>  (! [I] :  (m1_subset_1(I, C) => k2_multop_1(A, B, C, D, E, G, H, I)=k2_multop_1(A, B, C, D, F, G, H, I)) ) ) ) ) )  => r2_funct_2(k3_zfmisc_1(A, B, C), D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_multop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (! [D] :  (! [E] : k3_multop_1(A, B, C, D, E)=k1_funct_1(A, k6_xtuple_0(B, C, D, E))) ) ) ) ) ) ).
fof(t4_multop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_zfmisc_1(B, C, D, E), A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_zfmisc_1(B, C, D, E), A)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k4_zfmisc_1(B, C, D, E), A) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_zfmisc_1(B, C, D, E), A)))) )  =>  ( (! [H] :  (! [I] :  (! [J] :  (! [K] :  ( (r2_hidden(H, B) &  (r2_hidden(I, C) &  (r2_hidden(J, D) & r2_hidden(K, E)) ) )  => k1_funct_1(F, k6_xtuple_0(H, I, J, K))=k1_funct_1(G, k6_xtuple_0(H, I, J, K))) ) ) ) )  => r2_funct_2(k4_zfmisc_1(B, C, D, E), A, F, G)) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_multop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_zfmisc_1(A, B, C, D), E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_zfmisc_1(A, B, C, D), E)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k4_zfmisc_1(A, B, C, D), E) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_zfmisc_1(A, B, C, D), E)))) )  =>  ( (! [H] :  (m1_subset_1(H, A) =>  (! [I] :  (m1_subset_1(I, B) =>  (! [J] :  (m1_subset_1(J, C) =>  (! [K] :  (m1_subset_1(K, D) => k3_funct_2(k4_zfmisc_1(A, B, C, D), E, F, k5_domain_1(A, B, C, D, H, I, J, K))=k3_funct_2(k4_zfmisc_1(A, B, C, D), E, G, k5_domain_1(A, B, C, D, H, I, J, K))) ) ) ) ) ) ) )  => r2_funct_2(k4_zfmisc_1(A, B, C, D), E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_multop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_zfmisc_1(A, B, C, D), E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_zfmisc_1(A, B, C, D), E)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k4_zfmisc_1(A, B, C, D), E) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_zfmisc_1(A, B, C, D), E)))) )  =>  ( (! [H] :  (m1_subset_1(H, A) =>  (! [I] :  (m1_subset_1(I, B) =>  (! [J] :  (m1_subset_1(J, C) =>  (! [K] :  (m1_subset_1(K, D) => k4_multop_1(A, B, C, D, E, F, H, I, J, K)=k4_multop_1(A, B, C, D, E, G, H, I, J, K)) ) ) ) ) ) ) )  => r2_funct_2(k4_zfmisc_1(A, B, C, D), E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_multop_1, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s1_multop_1) =>  (! [B] :  (m1_subset_1(B, f2_s1_multop_1) =>  (! [C] :  (m1_subset_1(C, f3_s1_multop_1) =>  (? [D] :  (m1_subset_1(D, f4_s1_multop_1) & p1_s1_multop_1(A, B, C, D)) ) ) ) ) ) ) )  =>  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k3_zfmisc_1(f1_s1_multop_1, f2_s1_multop_1, f3_s1_multop_1), f4_s1_multop_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(f1_s1_multop_1, f2_s1_multop_1, f3_s1_multop_1), f4_s1_multop_1)))) )  &  (! [B] :  (m1_subset_1(B, f1_s1_multop_1) =>  (! [C] :  (m1_subset_1(C, f2_s1_multop_1) =>  (! [D] :  (m1_subset_1(D, f3_s1_multop_1) => p1_s1_multop_1(B, C, D, k3_funct_2(k3_zfmisc_1(f1_s1_multop_1, f2_s1_multop_1, f3_s1_multop_1), f4_s1_multop_1, A, k4_domain_1(f1_s1_multop_1, f2_s1_multop_1, f3_s1_multop_1, B, C, D)))) ) ) ) ) ) ) ) ) ).
fof(s2_multop_1, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s2_multop_1) =>  (! [B] :  (m1_subset_1(B, f1_s2_multop_1) =>  (! [C] :  (m1_subset_1(C, f1_s2_multop_1) =>  (? [D] :  (m1_subset_1(D, f1_s2_multop_1) & p1_s2_multop_1(A, B, C, D)) ) ) ) ) ) ) )  =>  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k3_zfmisc_1(f1_s2_multop_1, f1_s2_multop_1, f1_s2_multop_1), f1_s2_multop_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(f1_s2_multop_1, f1_s2_multop_1, f1_s2_multop_1), f1_s2_multop_1)))) )  &  (! [B] :  (m1_subset_1(B, f1_s2_multop_1) =>  (! [C] :  (m1_subset_1(C, f1_s2_multop_1) =>  (! [D] :  (m1_subset_1(D, f1_s2_multop_1) => p1_s2_multop_1(B, C, D, k2_multop_1(f1_s2_multop_1, f1_s2_multop_1, f1_s2_multop_1, f1_s2_multop_1, A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(s3_multop_1, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k3_zfmisc_1(f1_s3_multop_1, f2_s3_multop_1, f3_s3_multop_1), f4_s3_multop_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(f1_s3_multop_1, f2_s3_multop_1, f3_s3_multop_1), f4_s3_multop_1)))) )  &  (! [B] :  (m1_subset_1(B, f1_s3_multop_1) =>  (! [C] :  (m1_subset_1(C, f2_s3_multop_1) =>  (! [D] :  (m1_subset_1(D, f3_s3_multop_1) => k3_funct_2(k3_zfmisc_1(f1_s3_multop_1, f2_s3_multop_1, f3_s3_multop_1), f4_s3_multop_1, A, k4_domain_1(f1_s3_multop_1, f2_s3_multop_1, f3_s3_multop_1, B, C, D))=f5_s3_multop_1(B, C, D)) ) ) ) ) ) ) ) ).
fof(s4_multop_1, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k3_zfmisc_1(f1_s4_multop_1, f2_s4_multop_1, f3_s4_multop_1), f4_s4_multop_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(f1_s4_multop_1, f2_s4_multop_1, f3_s4_multop_1), f4_s4_multop_1)))) )  &  (! [B] :  (m1_subset_1(B, f1_s4_multop_1) =>  (! [C] :  (m1_subset_1(C, f2_s4_multop_1) =>  (! [D] :  (m1_subset_1(D, f3_s4_multop_1) => k2_multop_1(f1_s4_multop_1, f2_s4_multop_1, f3_s4_multop_1, f4_s4_multop_1, A, B, C, D)=f5_s4_multop_1(B, C, D)) ) ) ) ) ) ) ) ).
fof(s5_multop_1, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s5_multop_1) =>  (! [B] :  (m1_subset_1(B, f2_s5_multop_1) =>  (! [C] :  (m1_subset_1(C, f3_s5_multop_1) =>  (! [D] :  (m1_subset_1(D, f4_s5_multop_1) =>  (? [E] :  (m1_subset_1(E, f5_s5_multop_1) & p1_s5_multop_1(A, B, C, D, E)) ) ) ) ) ) ) ) ) )  =>  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_zfmisc_1(f1_s5_multop_1, f2_s5_multop_1, f3_s5_multop_1, f4_s5_multop_1), f5_s5_multop_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_zfmisc_1(f1_s5_multop_1, f2_s5_multop_1, f3_s5_multop_1, f4_s5_multop_1), f5_s5_multop_1)))) )  &  (! [B] :  (m1_subset_1(B, f1_s5_multop_1) =>  (! [C] :  (m1_subset_1(C, f2_s5_multop_1) =>  (! [D] :  (m1_subset_1(D, f3_s5_multop_1) =>  (! [E] :  (m1_subset_1(E, f4_s5_multop_1) => p1_s5_multop_1(B, C, D, E, k3_funct_2(k4_zfmisc_1(f1_s5_multop_1, f2_s5_multop_1, f3_s5_multop_1, f4_s5_multop_1), f5_s5_multop_1, A, k5_domain_1(f1_s5_multop_1, f2_s5_multop_1, f3_s5_multop_1, f4_s5_multop_1, B, C, D, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(s6_multop_1, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s6_multop_1) =>  (! [B] :  (m1_subset_1(B, f1_s6_multop_1) =>  (! [C] :  (m1_subset_1(C, f1_s6_multop_1) =>  (! [D] :  (m1_subset_1(D, f1_s6_multop_1) =>  (? [E] :  (m1_subset_1(E, f1_s6_multop_1) & p1_s6_multop_1(A, B, C, D, E)) ) ) ) ) ) ) ) ) )  =>  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_zfmisc_1(f1_s6_multop_1, f1_s6_multop_1, f1_s6_multop_1, f1_s6_multop_1), f1_s6_multop_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_zfmisc_1(f1_s6_multop_1, f1_s6_multop_1, f1_s6_multop_1, f1_s6_multop_1), f1_s6_multop_1)))) )  &  (! [B] :  (m1_subset_1(B, f1_s6_multop_1) =>  (! [C] :  (m1_subset_1(C, f1_s6_multop_1) =>  (! [D] :  (m1_subset_1(D, f1_s6_multop_1) =>  (! [E] :  (m1_subset_1(E, f1_s6_multop_1) => p1_s6_multop_1(B, C, D, E, k4_multop_1(f1_s6_multop_1, f1_s6_multop_1, f1_s6_multop_1, f1_s6_multop_1, f1_s6_multop_1, A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(s7_multop_1, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_zfmisc_1(f1_s7_multop_1, f2_s7_multop_1, f3_s7_multop_1, f4_s7_multop_1), f5_s7_multop_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_zfmisc_1(f1_s7_multop_1, f2_s7_multop_1, f3_s7_multop_1, f4_s7_multop_1), f5_s7_multop_1)))) )  &  (! [B] :  (m1_subset_1(B, f1_s7_multop_1) =>  (! [C] :  (m1_subset_1(C, f2_s7_multop_1) =>  (! [D] :  (m1_subset_1(D, f3_s7_multop_1) =>  (! [E] :  (m1_subset_1(E, f4_s7_multop_1) => k3_funct_2(k4_zfmisc_1(f1_s7_multop_1, f2_s7_multop_1, f3_s7_multop_1, f4_s7_multop_1), f5_s7_multop_1, A, k5_domain_1(f1_s7_multop_1, f2_s7_multop_1, f3_s7_multop_1, f4_s7_multop_1, B, C, D, E))=f6_s7_multop_1(B, C, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(s8_multop_1, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_zfmisc_1(f1_s8_multop_1, f1_s8_multop_1, f1_s8_multop_1, f1_s8_multop_1), f1_s8_multop_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_zfmisc_1(f1_s8_multop_1, f1_s8_multop_1, f1_s8_multop_1, f1_s8_multop_1), f1_s8_multop_1)))) )  &  (! [B] :  (m1_subset_1(B, f1_s8_multop_1) =>  (! [C] :  (m1_subset_1(C, f1_s8_multop_1) =>  (! [D] :  (m1_subset_1(D, f1_s8_multop_1) =>  (! [E] :  (m1_subset_1(E, f1_s8_multop_1) => k4_multop_1(f1_s8_multop_1, f1_s8_multop_1, f1_s8_multop_1, f1_s8_multop_1, f1_s8_multop_1, A, B, C, D, E)=f2_s8_multop_1(B, C, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(dt_k2_multop_1, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( (v1_funct_1(E) &  (v1_funct_2(E, k3_zfmisc_1(A, B, C), D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(A, B, C), D)))) )  &  (m1_subset_1(F, A) &  (m1_subset_1(G, B) & m1_subset_1(H, C)) ) ) ) ) ) )  => m1_subset_1(k2_multop_1(A, B, C, D, E, F, G, H), D)) ) ).
fof(redefinition_k2_multop_1, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( (v1_funct_1(E) &  (v1_funct_2(E, k3_zfmisc_1(A, B, C), D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(A, B, C), D)))) )  &  (m1_subset_1(F, A) &  (m1_subset_1(G, B) & m1_subset_1(H, C)) ) ) ) ) ) )  => k2_multop_1(A, B, C, D, E, F, G, H)=k1_multop_1(E, F, G, H)) ) ).
fof(dt_f1_s1_multop_1, axiom,  ~ (v1_xboole_0(f1_s1_multop_1)) ).
fof(dt_f2_s1_multop_1, axiom,  ~ (v1_xboole_0(f2_s1_multop_1)) ).
fof(dt_f3_s1_multop_1, axiom,  ~ (v1_xboole_0(f3_s1_multop_1)) ).
fof(dt_f4_s1_multop_1, axiom,  ~ (v1_xboole_0(f4_s1_multop_1)) ).
fof(dt_f1_s2_multop_1, axiom,  ~ (v1_xboole_0(f1_s2_multop_1)) ).
fof(dt_f1_s3_multop_1, axiom,  ~ (v1_xboole_0(f1_s3_multop_1)) ).
fof(dt_f2_s3_multop_1, axiom,  ~ (v1_xboole_0(f2_s3_multop_1)) ).
fof(dt_f3_s3_multop_1, axiom,  ~ (v1_xboole_0(f3_s3_multop_1)) ).
fof(dt_f4_s3_multop_1, axiom,  ~ (v1_xboole_0(f4_s3_multop_1)) ).
fof(dt_f5_s3_multop_1, axiom,  (! [A, B, C] : m1_subset_1(f5_s3_multop_1(A, B, C), f4_s3_multop_1)) ).
fof(dt_f1_s4_multop_1, axiom,  ~ (v1_xboole_0(f1_s4_multop_1)) ).
fof(dt_f2_s4_multop_1, axiom,  ~ (v1_xboole_0(f2_s4_multop_1)) ).
fof(dt_f3_s4_multop_1, axiom,  ~ (v1_xboole_0(f3_s4_multop_1)) ).
fof(dt_f4_s4_multop_1, axiom,  ~ (v1_xboole_0(f4_s4_multop_1)) ).
fof(dt_f5_s4_multop_1, axiom,  (! [A, B, C] : m1_subset_1(f5_s4_multop_1(A, B, C), f4_s4_multop_1)) ).
fof(dt_k4_multop_1, axiom,  (! [A, B, C, D, E, F, G, H, I, J] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( ~ (v1_xboole_0(E))  &  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_zfmisc_1(A, B, C, D), E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_zfmisc_1(A, B, C, D), E)))) )  &  (m1_subset_1(G, A) &  (m1_subset_1(H, B) &  (m1_subset_1(I, C) & m1_subset_1(J, D)) ) ) ) ) ) ) ) )  => m1_subset_1(k4_multop_1(A, B, C, D, E, F, G, H, I, J), E)) ) ).
fof(redefinition_k4_multop_1, axiom,  (! [A, B, C, D, E, F, G, H, I, J] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( ~ (v1_xboole_0(E))  &  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_zfmisc_1(A, B, C, D), E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_zfmisc_1(A, B, C, D), E)))) )  &  (m1_subset_1(G, A) &  (m1_subset_1(H, B) &  (m1_subset_1(I, C) & m1_subset_1(J, D)) ) ) ) ) ) ) ) )  => k4_multop_1(A, B, C, D, E, F, G, H, I, J)=k3_multop_1(F, G, H, I, J)) ) ).
fof(dt_f1_s5_multop_1, axiom,  ~ (v1_xboole_0(f1_s5_multop_1)) ).
fof(dt_f2_s5_multop_1, axiom,  ~ (v1_xboole_0(f2_s5_multop_1)) ).
fof(dt_f3_s5_multop_1, axiom,  ~ (v1_xboole_0(f3_s5_multop_1)) ).
fof(dt_f4_s5_multop_1, axiom,  ~ (v1_xboole_0(f4_s5_multop_1)) ).
fof(dt_f5_s5_multop_1, axiom,  ~ (v1_xboole_0(f5_s5_multop_1)) ).
fof(dt_f1_s6_multop_1, axiom,  ~ (v1_xboole_0(f1_s6_multop_1)) ).
fof(dt_f1_s7_multop_1, axiom,  ~ (v1_xboole_0(f1_s7_multop_1)) ).
fof(dt_f2_s7_multop_1, axiom,  ~ (v1_xboole_0(f2_s7_multop_1)) ).
fof(dt_f3_s7_multop_1, axiom,  ~ (v1_xboole_0(f3_s7_multop_1)) ).
fof(dt_f4_s7_multop_1, axiom,  ~ (v1_xboole_0(f4_s7_multop_1)) ).
fof(dt_f5_s7_multop_1, axiom,  ~ (v1_xboole_0(f5_s7_multop_1)) ).
fof(dt_f6_s7_multop_1, axiom,  (! [A, B, C, D] : m1_subset_1(f6_s7_multop_1(A, B, C, D), f5_s7_multop_1)) ).
fof(dt_f1_s8_multop_1, axiom,  ~ (v1_xboole_0(f1_s8_multop_1)) ).
fof(dt_f2_s8_multop_1, axiom,  (! [A, B, C, D] : m1_subset_1(f2_s8_multop_1(A, B, C, D), f1_s8_multop_1)) ).
fof(rc1_mycielsk, axiom,  (! [A] :  (? [B] :  (m1_eqrel_1(B, A) &  ( ~ (v10_ordinal1(B))  &  (v1_finset_1(B) & v1_setfam_1(B)) ) ) ) ) ).
fof(fc1_mycielsk, axiom,  (! [A, B, C] :  ( ( (v1_finset_1(B) & m1_eqrel_1(B, A))  & m1_subset_1(C, k1_zfmisc_1(A)))  => v1_finset_1(k1_mycielsk(A, B, C))) ) ).
fof(rc2_mycielsk, axiom,  (? [A] :  (l1_orders_2(A) & v1_mycielsk(A)) ) ).
fof(cc1_mycielsk, axiom,  (! [A] :  (l1_orders_2(A) =>  (v8_struct_0(A) => v1_mycielsk(A)) ) ) ).
fof(rc3_mycielsk, axiom,  (! [A] :  ( (v1_mycielsk(A) & l1_orders_2(A))  =>  (? [B] :  (m1_eqrel_1(B, u1_struct_0(A)) &  ( ~ (v10_ordinal1(B))  &  (v1_finset_1(B) &  (v1_setfam_1(B) & v6_dilworth(B, A)) ) ) ) ) ) ) ).
fof(fc2_mycielsk, axiom,  (! [A, B] :  ( ( (v1_mycielsk(A) & l1_orders_2(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_orders_2(k5_yellow_0(A, B)) &  (v4_yellow_0(k5_yellow_0(A, B), A) & v1_mycielsk(k5_yellow_0(A, B))) ) ) ) ).
fof(fc3_mycielsk, axiom,  (! [A] :  ( (v2_struct_0(A) & l1_orders_2(A))  =>  (v1_xboole_0(k2_mycielsk(A)) & v7_ordinal1(k2_mycielsk(A))) ) ) ).
fof(fc4_mycielsk, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_mycielsk(A) & l1_orders_2(A)) )  =>  (v7_ordinal1(k2_mycielsk(A)) & v2_xxreal_0(k2_mycielsk(A))) ) ) ).
fof(rc4_mycielsk, axiom,  (? [A] :  (l1_orders_2(A) & v2_mycielsk(A)) ) ).
fof(cc2_mycielsk, axiom,  (! [A] :  (l1_orders_2(A) =>  (v8_struct_0(A) => v2_mycielsk(A)) ) ) ).
fof(rc5_mycielsk, axiom,  (! [A] :  ( (v2_mycielsk(A) & l1_orders_2(A))  =>  (? [B] :  (m1_eqrel_1(B, u1_struct_0(A)) &  ( ~ (v10_ordinal1(B))  &  (v1_finset_1(B) &  (v1_setfam_1(B) & v5_dilworth(B, A)) ) ) ) ) ) ) ).
fof(fc5_mycielsk, axiom,  (! [A, B] :  ( ( (v2_mycielsk(A) & l1_orders_2(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_orders_2(k5_yellow_0(A, B)) &  (v4_yellow_0(k5_yellow_0(A, B), A) & v2_mycielsk(k5_yellow_0(A, B))) ) ) ) ).
fof(fc6_mycielsk, axiom,  (! [A] :  ( (v2_struct_0(A) & l1_orders_2(A))  =>  (v1_xboole_0(k3_mycielsk(A)) & v7_ordinal1(k3_mycielsk(A))) ) ) ).
fof(fc7_mycielsk, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_mycielsk(A) & l1_orders_2(A)) )  =>  (v7_ordinal1(k3_mycielsk(A)) & v2_xxreal_0(k3_mycielsk(A))) ) ) ).
fof(fc8_mycielsk, axiom,  (! [A] :  ( (v8_struct_0(A) & l1_orders_2(A))  =>  (v8_struct_0(k3_necklace(A)) & v1_orders_2(k3_necklace(A))) ) ) ).
fof(fc9_mycielsk, axiom,  (! [A] :  ( (v3_dilworth(A) & l1_orders_2(A))  =>  (v1_orders_2(k3_necklace(A)) & v4_dilworth(k3_necklace(A))) ) ) ).
fof(fc10_mycielsk, axiom,  (! [A] :  ( (v1_necklace(A) &  (v4_dilworth(A) & l1_orders_2(A)) )  =>  (v1_orders_2(k3_necklace(A)) & v3_dilworth(k3_necklace(A))) ) ) ).
fof(fc11_mycielsk, axiom,  (! [A] :  ( (v1_mycielsk(A) & l1_orders_2(A))  =>  (v1_orders_2(k3_necklace(A)) & v2_mycielsk(k3_necklace(A))) ) ) ).
fof(fc12_mycielsk, axiom,  (! [A] :  ( (v1_necklace(A) &  (v2_mycielsk(A) & l1_orders_2(A)) )  =>  (v1_orders_2(k3_necklace(A)) & v1_mycielsk(k3_necklace(A))) ) ) ).
fof(cc3_mycielsk, axiom,  (! [A] :  (m1_mycielsk(A, k5_numbers) => v2_struct_0(A)) ) ).
fof(cc4_mycielsk, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_mycielsk(B, A) =>  ~ (v2_struct_0(B)) ) ) ) ) ).
fof(cc5_mycielsk, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_mycielsk(B, A) => v8_struct_0(B)) ) ) ) ).
fof(rc6_mycielsk, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (m1_mycielsk(B, A) &  (v1_orders_2(B) & v3_necklace(B)) ) ) ) ) ).
fof(fc13_mycielsk, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_necklace(k5_mycielsk(A)) & v3_necklace(k5_mycielsk(A))) ) ) ).
fof(fc14_mycielsk, axiom,  (! [A] :  (v7_ordinal1(A) => v1_dilworth(k2_struct_0(k5_mycielsk(A)), k5_mycielsk(A))) ) ).
fof(fc15_mycielsk, axiom,  (! [A] :  (v7_ordinal1(A) => v3_necklace(k7_mycielsk(A))) ) ).
fof(fc16_mycielsk, axiom,  (! [A] :  (v7_ordinal1(A) => v1_necklace(k7_mycielsk(A))) ) ).
fof(t1_mycielsk, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (r1_xxreal_0(k5_numbers, A) => k3_xcmplx_0(A, k1_xreal_0(B, C))=k1_xreal_0(k3_xcmplx_0(A, B), k3_xcmplx_0(A, C))) ) ) ) ) ) ) ).
fof(t2_mycielsk, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(A, k7_subset_1(k4_ordinal1, k5_card_1(B), k5_card_1(C))) <=>  (r1_xxreal_0(C, A) &  ~ (r1_xxreal_0(B, A)) ) ) ) ) ) ) ) ) ).
fof(t3_mycielsk, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( ~ ( ( ~ (r1_tarski(F, A))  &  ( ~ (r1_tarski(F, B))  &  ( ~ (r1_tarski(F, C))  &  ( ~ (r1_tarski(F, D))  &  ~ (r1_tarski(F, E)) ) ) ) ) )  => r1_tarski(F, k2_xboole_0(k2_xboole_0(k2_xboole_0(k2_xboole_0(A, B), C), D), E))) ) ) ) ) ) ) ).
fof(t4_mycielsk, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (r2_tarski(F, k2_xboole_0(k2_xboole_0(k2_xboole_0(k2_xboole_0(A, B), C), D), E)) <=>  ~ ( ( ~ (r2_tarski(F, A))  &  ( ~ (r2_tarski(F, B))  &  ( ~ (r2_tarski(F, C))  &  ( ~ (r2_tarski(F, D))  &  ~ (r2_tarski(F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_mycielsk, axiom,  (! [A] :  ( (v1_necklace(A) & l1_orders_2(A))  =>  (! [B] :  (! [C] :  ( (r2_tarski(B, u1_struct_0(A)) &  (r2_tarski(C, u1_struct_0(A)) & r2_hidden(k4_tarski(B, C), u1_orders_2(A))) )  => r2_hidden(k4_tarski(C, B), u1_orders_2(A))) ) ) ) ) ).
fof(t6_mycielsk, axiom,  (! [A] :  ( (v1_necklace(A) & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_orders_2(A, B, C) => r1_orders_2(A, C, B)) ) ) ) ) ) ) ).
fof(t7_mycielsk, axiom,  (! [A] :  (! [B] :  (m1_eqrel_1(B, A) => r1_ordinal1(k1_card_1(B), k1_card_1(A))) ) ) ).
fof(t8_mycielsk, axiom,  (! [A] :  (! [B] :  ( (v1_finset_1(B) & m1_eqrel_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => r1_xxreal_0(k4_card_1(k1_mycielsk(A, B, C)), k4_card_1(B))) ) ) ) ) ).
fof(t9_mycielsk, axiom,  (! [A] :  (! [B] :  ( (v1_finset_1(B) & m1_eqrel_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  ( (! [D] :  ~ ( (r2_tarski(D, B) & r1_xboole_0(D, C)) ) )  <=> k4_card_1(k1_mycielsk(A, B, C))=k4_card_1(B)) ) ) ) ) ) ).
fof(t10_mycielsk, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  ( (v6_dilworth(B, A) & m1_eqrel_1(B, u1_struct_0(A)))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (v6_dilworth(k1_mycielsk(u1_struct_0(A), B, C), k5_yellow_0(A, C)) & m1_eqrel_1(k1_mycielsk(u1_struct_0(A), B, C), u1_struct_0(k5_yellow_0(A, C)))) ) ) ) ) ) ) ).
fof(d2_mycielsk, axiom,  (! [A] :  (l1_orders_2(A) =>  (v1_mycielsk(A) <=>  (? [B] :  ( (v6_dilworth(B, A) & m1_eqrel_1(B, u1_struct_0(A)))  & v1_finset_1(B)) ) ) ) ) ).
fof(d3_mycielsk, axiom,  (! [A] :  ( (v1_mycielsk(A) & l1_orders_2(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (B=k2_mycielsk(A) <=>  ( (? [C] :  ( (v1_finset_1(C) &  (v6_dilworth(C, A) & m1_eqrel_1(C, u1_struct_0(A))) )  & k4_card_1(C)=B) )  &  (! [C] :  ( (v1_finset_1(C) &  (v6_dilworth(C, A) & m1_eqrel_1(C, u1_struct_0(A))) )  => r1_xxreal_0(B, k4_card_1(C))) ) ) ) ) ) ) ) ).
fof(d4_mycielsk, axiom,  (! [A] :  (l1_orders_2(A) =>  (v2_mycielsk(A) <=>  (? [B] :  ( (v5_dilworth(B, A) & m1_eqrel_1(B, u1_struct_0(A)))  & v1_finset_1(B)) ) ) ) ) ).
fof(d5_mycielsk, axiom,  (! [A] :  ( (v2_mycielsk(A) & l1_orders_2(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (B=k3_mycielsk(A) <=>  ( (? [C] :  ( (v1_finset_1(C) &  (v5_dilworth(C, A) & m1_eqrel_1(C, u1_struct_0(A))) )  & k4_card_1(C)=B) )  &  (! [C] :  ( (v1_finset_1(C) &  (v5_dilworth(C, A) & m1_eqrel_1(C, u1_struct_0(A))) )  => r1_xxreal_0(B, k4_card_1(C))) ) ) ) ) ) ) ) ).
fof(t11_mycielsk, axiom,  (! [A] :  ( (v8_struct_0(A) & l1_orders_2(A))  => r1_xxreal_0(k1_dilworth(A), k4_card_1(u1_struct_0(A)))) ) ).
fof(t12_mycielsk, axiom,  (! [A] :  ( (v8_struct_0(A) & l1_orders_2(A))  => r1_xxreal_0(k2_dilworth(A), k4_card_1(u1_struct_0(A)))) ) ).
fof(t13_mycielsk, axiom,  (! [A] :  ( (v8_struct_0(A) & l1_orders_2(A))  => r1_xxreal_0(k2_mycielsk(A), k4_card_1(u1_struct_0(A)))) ) ).
fof(t14_mycielsk, axiom,  (! [A] :  ( (v8_struct_0(A) & l1_orders_2(A))  => r1_xxreal_0(k3_mycielsk(A), k4_card_1(u1_struct_0(A)))) ) ).
fof(t15_mycielsk, axiom,  (! [A] :  ( (v3_dilworth(A) &  (v1_mycielsk(A) & l1_orders_2(A)) )  => r1_xxreal_0(k1_dilworth(A), k2_mycielsk(A))) ) ).
fof(t16_mycielsk, axiom,  (! [A] :  ( (v4_dilworth(A) &  (v2_mycielsk(A) & l1_orders_2(A)) )  => r1_xxreal_0(k2_dilworth(A), k3_mycielsk(A))) ) ).
fof(t17_mycielsk, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k3_necklace(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k3_necklace(A))) =>  ~ ( (B=D &  (C=E &  (r1_orders_2(A, B, C) & r1_orders_2(k3_necklace(A), D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_mycielsk, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k3_necklace(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k3_necklace(A))) =>  ( (B=D &  (C=E & r2_tarski(B, u1_struct_0(A))) )  =>  (B=C |  (r1_orders_2(k3_necklace(A), D, E) | r1_orders_2(A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_mycielsk, axiom,  (! [A] :  ( (v1_necklace(A) & l1_orders_2(A))  =>  (! [B] :  ( (v1_dilworth(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v2_dilworth(B, k3_necklace(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_necklace(A))))) ) ) ) ) ).
fof(t20_mycielsk, axiom,  (! [A] :  ( (v1_necklace(A) & l1_orders_2(A))  =>  (! [B] :  ( (v1_dilworth(B, k3_necklace(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_necklace(A)))))  =>  (v2_dilworth(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ).
fof(t21_mycielsk, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  ( (v2_dilworth(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_dilworth(B, k3_necklace(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_necklace(A))))) ) ) ) ) ).
fof(t22_mycielsk, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  ( (v2_dilworth(B, k3_necklace(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_necklace(A)))))  =>  (v1_dilworth(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ).
fof(t23_mycielsk, axiom,  (! [A] :  ( (v1_necklace(A) &  (v3_dilworth(A) & l1_orders_2(A)) )  => k1_dilworth(A)=k2_dilworth(k3_necklace(A))) ) ).
fof(t24_mycielsk, axiom,  (! [A] :  ( (v1_necklace(A) &  (v4_dilworth(A) & l1_orders_2(A)) )  => k2_dilworth(A)=k1_dilworth(k3_necklace(A))) ) ).
fof(t25_mycielsk, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  ( (v6_dilworth(B, A) & m1_eqrel_1(B, u1_struct_0(A)))  =>  (v5_dilworth(B, k3_necklace(A)) & m1_eqrel_1(B, u1_struct_0(k3_necklace(A)))) ) ) ) ) ).
fof(t26_mycielsk, axiom,  (! [A] :  ( (v1_necklace(A) & l1_orders_2(A))  =>  (! [B] :  ( (v5_dilworth(B, k3_necklace(A)) & m1_eqrel_1(B, u1_struct_0(k3_necklace(A))))  =>  (v6_dilworth(B, A) & m1_eqrel_1(B, u1_struct_0(A))) ) ) ) ) ).
fof(t27_mycielsk, axiom,  (! [A] :  ( (v1_necklace(A) & l1_orders_2(A))  =>  (! [B] :  ( (v5_dilworth(B, A) & m1_eqrel_1(B, u1_struct_0(A)))  =>  (v6_dilworth(B, k3_necklace(A)) & m1_eqrel_1(B, u1_struct_0(k3_necklace(A)))) ) ) ) ) ).
fof(t28_mycielsk, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  ( (v6_dilworth(B, k3_necklace(A)) & m1_eqrel_1(B, u1_struct_0(k3_necklace(A))))  =>  (v5_dilworth(B, A) & m1_eqrel_1(B, u1_struct_0(A))) ) ) ) ) ).
fof(t29_mycielsk, axiom,  (! [A] :  ( (v1_necklace(A) &  (v1_mycielsk(A) & l1_orders_2(A)) )  => k2_mycielsk(A)=k3_mycielsk(k3_necklace(A))) ) ).
fof(t30_mycielsk, axiom,  (! [A] :  ( (v1_necklace(A) &  (v2_mycielsk(A) & l1_orders_2(A)) )  => k3_mycielsk(A)=k2_mycielsk(k3_necklace(A))) ) ).
fof(d6_mycielsk, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (C=k4_mycielsk(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, C) <=>  (r2_orders_2(A, D, B) | r2_orders_2(A, B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_mycielsk, axiom,  (! [A] :  ( (v1_mycielsk(A) & l1_orders_2(A))  =>  (! [B] :  ( (v1_finset_1(B) &  (v6_dilworth(B, A) & m1_eqrel_1(B, u1_struct_0(A))) )  =>  (! [C] :  ~ ( (r2_tarski(C, B) &  (k4_card_1(B)=k2_mycielsk(A) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(D, C) &  (! [E] :  (m1_subset_1(E, B) =>  ~ ( ( ~ (E=C)  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r2_tarski(F, k4_mycielsk(A, D)) & r2_tarski(F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_mycielsk, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_orders_2(B) & l1_orders_2(B))  =>  (m1_mycielsk(B, A) <=> u1_struct_0(B)=A) ) ) ) ) ).
fof(d8_mycielsk, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_mycielsk(B, A) =>  (B=k5_mycielsk(A) <=> u1_orders_2(B)=k6_subset_1(k2_zfmisc_1(A, A), k4_relat_1(A))) ) ) ) ) ).
fof(t32_mycielsk, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  ( (r2_tarski(B, A) & r2_tarski(C, A))  =>  (r2_hidden(k4_tarski(B, C), u1_orders_2(k5_mycielsk(A))) <=>  ~ (B=C) ) ) ) ) ) ) ).
fof(t33_mycielsk, axiom,  (! [A] :  (v7_ordinal1(A) => k1_dilworth(k5_mycielsk(A))=A) ) ).
fof(t34_mycielsk, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => k2_dilworth(k5_mycielsk(A))=1) ) ).
fof(t35_mycielsk, axiom,  (! [A] :  (v7_ordinal1(A) => k2_mycielsk(k5_mycielsk(A))=A) ) ).
fof(t36_mycielsk, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => k3_mycielsk(k5_mycielsk(A))=1) ) ).
fof(t37_mycielsk, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_mycielsk(B, A) => r1_tarski(u1_struct_0(B), u1_struct_0(k6_mycielsk(A, B)))) ) ) ) ).
fof(t38_mycielsk, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_mycielsk(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_hidden(k4_tarski(C, D), u1_orders_2(k6_mycielsk(A, B))) &  ( ~ ( ( ~ (r1_xxreal_0(A, C))  &  ~ (r1_xxreal_0(A, D)) ) )  &  ( ~ ( ( ~ (r1_xxreal_0(A, C))  &  (r1_xxreal_0(A, D) &  ~ (r1_xxreal_0(k3_xcmplx_0(2, A), D)) ) ) )  &  ( ~ ( (r1_xxreal_0(A, C) &  ( ~ (r1_xxreal_0(k3_xcmplx_0(2, A), C))  &  ~ (r1_xxreal_0(A, D)) ) ) )  &  ( ~ ( (C=k3_xcmplx_0(2, A) &  (r1_xxreal_0(A, D) &  ~ (r1_xxreal_0(k3_xcmplx_0(2, A), D)) ) ) )  &  ~ ( (r1_xxreal_0(A, C) &  ( ~ (r1_xxreal_0(k3_xcmplx_0(2, A), C))  & D=k3_xcmplx_0(2, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_mycielsk, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_mycielsk(B, A) => r1_relset_1(u1_struct_0(B), u1_struct_0(B), u1_orders_2(B), u1_orders_2(k6_mycielsk(A, B)))) ) ) ) ).
fof(t40_mycielsk, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_mycielsk(B, A) =>  (! [C] :  (! [D] :  ( (r2_tarski(C, k5_card_1(A)) &  (r2_tarski(D, k5_card_1(A)) & r2_hidden(k4_tarski(C, D), u1_orders_2(k6_mycielsk(A, B)))) )  => r2_hidden(k4_tarski(C, D), u1_orders_2(B))) ) ) ) ) ) ) ).
fof(t41_mycielsk, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_mycielsk(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_hidden(k4_tarski(C, D), u1_orders_2(B)) =>  (r2_hidden(k4_tarski(C, k2_xcmplx_0(D, A)), u1_orders_2(k6_mycielsk(A, B))) & r2_hidden(k4_tarski(k2_xcmplx_0(C, A), D), u1_orders_2(k6_mycielsk(A, B)))) ) ) ) ) ) ) ) ) ) ).
fof(t42_mycielsk, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_mycielsk(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(C, k5_card_1(A)) & r2_hidden(k4_tarski(C, k2_xcmplx_0(D, A)), u1_orders_2(k6_mycielsk(A, B))))  => r2_hidden(k4_tarski(C, D), u1_orders_2(B))) ) ) ) ) ) ) ) ) ).
fof(t43_mycielsk, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_mycielsk(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(D, k5_card_1(A)) & r2_hidden(k4_tarski(k2_xcmplx_0(C, A), D), u1_orders_2(k6_mycielsk(A, B))))  => r2_hidden(k4_tarski(C, D), u1_orders_2(B))) ) ) ) ) ) ) ) ) ).
fof(t44_mycielsk, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_mycielsk(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(A, C) =>  (r1_xxreal_0(k3_xcmplx_0(2, A), C) |  (r2_hidden(k4_tarski(C, k3_xcmplx_0(2, A)), u1_orders_2(k6_mycielsk(A, B))) & r2_hidden(k4_tarski(k3_xcmplx_0(2, A), C), u1_orders_2(k6_mycielsk(A, B)))) ) ) ) ) ) ) ) ) ).
fof(t45_mycielsk, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_mycielsk(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k6_mycielsk(A, B)))) =>  (C=A => B=k5_yellow_0(k6_mycielsk(A, B), C)) ) ) ) ) ) ) ).
fof(t46_mycielsk, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v3_necklace(B) & m1_mycielsk(B, A))  =>  (r1_xxreal_0(2, k1_dilworth(B)) => k1_dilworth(B)=k1_dilworth(k6_mycielsk(A, B))) ) ) ) ) ).
fof(t47_mycielsk, axiom,  (! [A] :  ( (v1_mycielsk(A) & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => r1_xxreal_0(k2_mycielsk(k5_yellow_0(A, B)), k2_mycielsk(A))) ) ) ) ).
fof(t48_mycielsk, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v3_necklace(B) & m1_mycielsk(B, A))  => k2_mycielsk(k6_mycielsk(A, B))=k2_xcmplx_0(1, k2_mycielsk(B))) ) ) ) ).
fof(d10_mycielsk, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_mycielsk(B, k7_nat_d(k3_xcmplx_0(3, k1_newton(2, A)), 1)) =>  (B=k7_mycielsk(A) <=>  (? [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  &  (B=k1_funct_1(C, A) &  (k9_xtuple_0(C)=k4_ordinal1 &  (k1_funct_1(C, k5_numbers)=k5_mycielsk(2) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_mycielsk(E, k7_nat_d(k3_xcmplx_0(3, k1_newton(2, D)), 1)) =>  (E=k1_funct_1(C, D) => k1_funct_1(C, k2_xcmplx_0(D, 1))=k6_mycielsk(k7_nat_d(k3_xcmplx_0(3, k1_newton(2, D)), 1), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_mycielsk, axiom,  (k7_mycielsk(k5_numbers)=k5_mycielsk(2) &  (! [A] :  (v7_ordinal1(A) => k7_mycielsk(k2_xcmplx_0(A, 1))=k6_mycielsk(k7_nat_d(k3_xcmplx_0(3, k1_newton(2, A)), 1), k7_mycielsk(A))) ) ) ).
fof(t50_mycielsk, axiom,  (! [A] :  (v7_ordinal1(A) =>  (k1_dilworth(k7_mycielsk(A))=2 & k2_mycielsk(k7_mycielsk(A))=k2_xcmplx_0(A, 2)) ) ) ).
fof(t51_mycielsk, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  ( (v8_struct_0(B) & l1_orders_2(B))  &  (k1_dilworth(B)=2 &  ~ (r1_xxreal_0(k2_mycielsk(B), A)) ) ) ) ) ) ).
fof(t52_mycielsk, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  ( (v8_struct_0(B) & l1_orders_2(B))  &  (k2_dilworth(B)=2 &  ~ (r1_xxreal_0(k3_mycielsk(B), A)) ) ) ) ) ) ).
fof(dt_k1_mycielsk, axiom,  (! [A, B, C] :  ( (m1_eqrel_1(B, A) & m1_subset_1(C, k1_zfmisc_1(A)))  => m1_eqrel_1(k1_mycielsk(A, B, C), C)) ) ).
fof(dt_k2_mycielsk, axiom,  (! [A] :  ( (v1_mycielsk(A) & l1_orders_2(A))  => v7_ordinal1(k2_mycielsk(A))) ) ).
fof(dt_k3_mycielsk, axiom,  (! [A] :  ( (v2_mycielsk(A) & l1_orders_2(A))  => v7_ordinal1(k3_mycielsk(A))) ) ).
fof(dt_k4_mycielsk, axiom,  (! [A, B] :  ( (l1_orders_2(A) & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k4_mycielsk(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_m1_mycielsk, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_mycielsk(B, A) =>  (v1_orders_2(B) & l1_orders_2(B)) ) ) ) ) ).
fof(existence_m1_mycielsk, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] : m1_mycielsk(B, A)) ) ) ).
fof(dt_k5_mycielsk, axiom,  (! [A] :  (v7_ordinal1(A) => m1_mycielsk(k5_mycielsk(A), A)) ) ).
fof(dt_k6_mycielsk, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_mycielsk(B, A))  => m1_mycielsk(k6_mycielsk(A, B), k2_xcmplx_0(k3_xcmplx_0(2, A), 1))) ) ).
fof(dt_k7_mycielsk, axiom,  (! [A] :  (v7_ordinal1(A) => m1_mycielsk(k7_mycielsk(A), k7_nat_d(k3_xcmplx_0(3, k1_newton(2, A)), 1))) ) ).
fof(d1_mycielsk, axiom,  (! [A] :  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k1_mycielsk(A, B, C)=a_3_0_mycielsk(A, B, C)) ) ) ) ) ).
fof(d9_mycielsk, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_mycielsk(B, A) =>  (! [C] :  (m1_mycielsk(C, k2_xcmplx_0(k3_xcmplx_0(2, A), 1)) =>  (C=k6_mycielsk(A, B) <=> u1_orders_2(C)=k2_xboole_0(k2_xboole_0(k2_xboole_0(k2_xboole_0(u1_orders_2(B), a_2_0_mycielsk(A, B)), a_2_1_mycielsk(A, B)), k2_zfmisc_1(k1_tarski(k3_xcmplx_0(2, A)), k6_subset_1(k3_xcmplx_0(2, A), A))), k2_zfmisc_1(k6_subset_1(k3_xcmplx_0(2, A), A), k1_tarski(k3_xcmplx_0(2, A))))) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_mycielsk, axiom,  (! [A, B, C, D] :  ( (m1_eqrel_1(C, B) & m1_subset_1(D, k1_zfmisc_1(B)))  =>  (r2_hidden(A, a_3_0_mycielsk(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, C) &  (A=k9_subset_1(B, E, D) &  ~ (r1_xboole_0(E, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_mycielsk, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) & m1_mycielsk(C, B))  =>  (r2_hidden(A, a_2_0_mycielsk(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, k4_ordinal1) & m1_subset_1(E, k4_ordinal1))  &  (A=k4_tarski(D, k2_xcmplx_0(E, B)) & r2_hidden(k4_tarski(D, E), u1_orders_2(C))) ) ) ) ) ) ).
fof(fraenkel_a_2_1_mycielsk, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) & m1_mycielsk(C, B))  =>  (r2_hidden(A, a_2_1_mycielsk(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, k4_ordinal1) & m1_subset_1(E, k4_ordinal1))  &  (A=k4_tarski(k2_xcmplx_0(D, B), E) & r2_hidden(k4_tarski(D, E), u1_orders_2(C))) ) ) ) ) ) ).
fof(rc1_nagata_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v1_nagata_1(B, A)) ) ) ) ).
fof(rc2_nagata_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) &  (v1_xboole_0(B) & v1_nagata_1(B, A)) ) ) ) ) ).
fof(fc1_nagata_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (v1_nagata_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) )  => v1_nagata_1(k1_pcomps_1(A, B), A)) ) ).
fof(rc3_nagata_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v2_nagata_1(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_nagata_1, axiom,  (! [A] :  ( ~ (v4_card_3(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(rc4_nagata_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v3_nagata_1(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_nagata_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (v1_nagata_1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  ( (v3_pre_topc(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  &  (r2_tarski(C, D) &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r2_tarski(E, B) & r2_tarski(F, B))  =>  (r1_xboole_0(D, E) |  (r1_xboole_0(D, F) | E=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_nagata_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ( (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) & B=k6_domain_1(k1_zfmisc_1(u1_struct_0(A)), C)) )  => v1_nagata_1(B, A)) ) ) ) ) ).
fof(t2_nagata_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ( (r1_tarski(B, C) & v1_nagata_1(C, A))  => v1_nagata_1(B, A)) ) ) ) ) ) ) ).
fof(t3_nagata_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (v1_nagata_1(B, A) => v1_nagata_1(k9_subset_1(k1_zfmisc_1(u1_struct_0(A)), B, C), A)) ) ) ) ) ) ) ).
fof(t4_nagata_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (v1_nagata_1(B, A) => v1_nagata_1(k7_subset_1(k1_zfmisc_1(u1_struct_0(A)), B, C), A)) ) ) ) ) ) ) ).
fof(t5_nagata_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ( (v1_nagata_1(B, A) &  (v1_nagata_1(C, A) & k3_setfam_1(B, C)=D) )  => v1_nagata_1(D, A)) ) ) ) ) ) ) ) ) ).
fof(t6_nagata_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v1_nagata_1(B, A) &  (r2_tarski(C, B) &  (r2_tarski(D, B) &  ( ~ (C=D)  &  ~ (r1_xboole_0(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_nagata_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (v1_nagata_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  ( (v3_pre_topc(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  &  (r2_tarski(C, D) & v1_zfmisc_1(k6_subset_1(k3_setfam_1(k6_domain_1(k1_zfmisc_1(u1_struct_0(A)), D), B), k1_tarski(k1_xboole_0)))) ) ) ) ) ) ) ) ) ) ).
fof(t8_nagata_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (v1_nagata_1(B, A) <=>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  ( (v3_pre_topc(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  &  (r2_tarski(C, D) & v1_zfmisc_1(k6_subset_1(k3_setfam_1(k6_domain_1(k1_zfmisc_1(u1_struct_0(A)), D), B), k1_tarski(k1_xboole_0)))) ) ) ) )  &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_tarski(C, B) &  (r2_tarski(D, B) &  ( ~ (C=D)  &  ~ (r1_xboole_0(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_nagata_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (v1_nagata_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  => k2_pre_topc(A, k9_subset_1(u1_struct_0(A), C, D))=k9_subset_1(u1_struct_0(A), k2_pre_topc(A, C), k2_pre_topc(A, D))) ) ) ) ) ) ) ) ) ) ).
fof(t10_nagata_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (v1_nagata_1(B, A) => k2_pre_topc(A, k5_setfam_1(u1_struct_0(A), B))=k5_setfam_1(u1_struct_0(A), k1_pcomps_1(A, B))) ) ) ) ) ).
fof(t11_nagata_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (v1_nagata_1(B, A) => v1_pcomps_1(B, A)) ) ) ) ) ).
fof(d2_nagata_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))))) )  =>  (v2_nagata_1(B, A) <=>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => v1_nagata_1(k1_nagata_1(A, B, C), A)) ) ) ) ) ) ) ).
fof(d3_nagata_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))))) )  =>  (v3_nagata_1(B, A) <=>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => v1_pcomps_1(k1_nagata_1(A, B, C), A)) ) ) ) ) ) ) ).
fof(d4_nagata_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (v4_nagata_1(B, A) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) &  (v2_nagata_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))))) ) )  & B=k2_nagata_1(A, C)) ) ) ) ) ) ) ).
fof(t12_nagata_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))))) )  =>  (v2_nagata_1(B, A) => v3_nagata_1(B, A)) ) ) ) ) ).
fof(t13_nagata_1, axiom,  (! [A] :  ( ~ (v4_card_3(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k1_compts_1(k2_zfmisc_1(A, A)))))) &  (v1_pcomps_1(B, k1_compts_1(k2_zfmisc_1(A, A))) &  ~ (v4_nagata_1(B, k1_compts_1(k2_zfmisc_1(A, A)))) ) ) ) ) ) ).
fof(d5_nagata_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))))) )  =>  (v5_nagata_1(B, A) <=>  (v2_nagata_1(B, A) &  (v1_tops_2(k2_nagata_1(A, B), A) &  (v1_cantor_1(k2_nagata_1(A, B), A) & m1_subset_1(k2_nagata_1(A, B), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ) ) ) ) ) ) ).
fof(d6_nagata_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))))) )  =>  (v6_nagata_1(B, A) <=>  (v3_nagata_1(B, A) &  (v1_tops_2(k2_nagata_1(A, B), A) &  (v1_cantor_1(k2_nagata_1(A, B), A) & m1_subset_1(k2_nagata_1(A, B), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ) ) ) ) ) ) ).
fof(t14_nagata_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => r2_tarski(k7_subset_1(u1_struct_0(B), k2_struct_0(B), k9_metric_1(B, C, A)), k2_pcomps_1(B))) ) ) ) ) ) ).
fof(t15_nagata_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v3_pcomps_1(A) =>  (v9_pre_topc(A) & v7_pre_topc(A)) ) ) ) ).
fof(t16_nagata_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ~ ( (v3_pcomps_1(A) &  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))))) )  =>  ~ (v6_nagata_1(B, A)) ) ) ) ) ) ) ).
fof(t17_nagata_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(u1_struct_0(A)))))) )  =>  ( (! [C] :  (m1_subset_1(C, k4_ordinal1) => v3_pre_topc(k8_nat_1(k1_zfmisc_1(u1_struct_0(A)), B, C), A)) )  => v3_pre_topc(k1_prob_1(u1_struct_0(A), B), A)) ) ) ) ) ).
fof(t18_nagata_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v3_pre_topc(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( (v4_pre_topc(B, A) &  (v3_pre_topc(C, A) &  (r1_tarski(B, C) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(u1_struct_0(A)))))) )  =>  ~ ( (r1_tarski(B, k1_prob_1(u1_struct_0(A), D)) &  (r1_tarski(k1_prob_1(u1_struct_0(A), D), C) &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r1_tarski(k2_pre_topc(A, k8_nat_1(k1_zfmisc_1(u1_struct_0(A)), D, E)), C) & v3_pre_topc(k8_nat_1(k1_zfmisc_1(u1_struct_0(A)), D, E), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  => v10_pre_topc(A)) ) ) ).
fof(t19_nagata_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v9_pre_topc(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))))) )  =>  ( (v1_tops_2(k2_nagata_1(A, B), A) &  (v1_cantor_1(k2_nagata_1(A, B), A) & m1_subset_1(k2_nagata_1(A, B), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (v3_pre_topc(C, A) &  (r2_tarski(D, C) &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_tarski(D, E) &  (r1_tarski(k2_pre_topc(A, E), C) & r2_tarski(E, k2_nagata_1(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_nagata_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v9_pre_topc(A) =>  ( (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))))) )  =>  ~ (v6_nagata_1(B, A)) ) )  | v10_pre_topc(A)) ) ) ) ).
fof(d7_nagata_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (D=k3_nagata_1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k1_numbers, D, E)=k3_real_1(k3_funct_2(u1_struct_0(A), k1_numbers, B, E), k3_funct_2(u1_struct_0(A), k1_numbers, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_nagata_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (v1_pscomp_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k2_borsuk_1(A, A)), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A, A)), k1_numbers)))) )  =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k1_binop_1(C, D, E)=k9_complex1(k5_real_1(k3_funct_2(u1_struct_0(A), k1_numbers, B, D), k3_funct_2(u1_struct_0(A), k1_numbers, B, E)))) ) ) )  => v1_pscomp_1(C, k2_borsuk_1(A, A))) ) ) ) ) ) ) ) ).
fof(t22_nagata_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  ( (v1_pscomp_1(B, A) & v1_pscomp_1(C, A))  => v1_pscomp_1(k3_nagata_1(A, B, C), A)) ) ) ) ) ) ) ).
fof(t23_nagata_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k9_funct_2(u1_struct_0(A), k1_numbers), k9_funct_2(u1_struct_0(A), k1_numbers)), k9_funct_2(u1_struct_0(A), k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(u1_struct_0(A), k1_numbers), k9_funct_2(u1_struct_0(A), k1_numbers)), k9_funct_2(u1_struct_0(A), k1_numbers))))) )  =>  ( (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  => k1_binop_1(B, C, D)=k3_nagata_1(A, C, D)) ) ) )  =>  (v1_setwiseo(B, k9_funct_2(u1_struct_0(A), k1_numbers)) &  (v1_binop_1(B, k9_funct_2(u1_struct_0(A), k1_numbers)) & v2_binop_1(B, k9_funct_2(u1_struct_0(A), k1_numbers))) ) ) ) ) ) ) ).
fof(t24_nagata_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k9_funct_2(u1_struct_0(A), k1_numbers), k9_funct_2(u1_struct_0(A), k1_numbers)), k9_funct_2(u1_struct_0(A), k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(u1_struct_0(A), k1_numbers), k9_funct_2(u1_struct_0(A), k1_numbers)), k9_funct_2(u1_struct_0(A), k1_numbers))))) )  =>  ( (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  => k1_binop_1(B, C, D)=k3_nagata_1(A, C, D)) ) ) )  =>  (! [C] :  (m2_funct_2(C, u1_struct_0(A), k1_numbers, k9_funct_2(u1_struct_0(A), k1_numbers)) =>  (r3_binop_1(k9_funct_2(u1_struct_0(A), k1_numbers), C, B) => v1_pscomp_1(C, A)) ) ) ) ) ) ) ) ).
fof(d8_nagata_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k9_funct_2(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k9_funct_2(A, B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (D=k4_nagata_1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) => k3_funct_2(A, B, D, E)=k1_funct_1(k3_funct_2(A, k9_funct_2(A, B), C, E), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_nagata_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k9_funct_2(u1_struct_0(A), k1_numbers), k9_funct_2(u1_struct_0(A), k1_numbers)), k9_funct_2(u1_struct_0(A), k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(u1_struct_0(A), k1_numbers), k9_funct_2(u1_struct_0(A), k1_numbers)), k9_funct_2(u1_struct_0(A), k1_numbers))))) )  =>  ( (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  => k1_binop_1(B, C, D)=k3_nagata_1(A, C, D)) ) ) )  =>  (! [C] :  (m2_finseq_1(C, k9_funct_2(u1_struct_0(A), k1_numbers)) =>  ( (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r1_xxreal_0(D, k3_finseq_1(C)) =>  (k5_numbers=D |  (v1_funct_1(k1_funct_1(C, D)) &  (v1_funct_2(k1_funct_1(C, D), u1_struct_0(A), k1_numbers) &  (v1_pscomp_1(k1_funct_1(C, D), A) & m1_subset_1(k1_funct_1(C, D), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) ) ) )  =>  (v1_funct_1(k1_finsop_1(k9_funct_2(u1_struct_0(A), k1_numbers), C, B)) &  (v1_funct_2(k1_finsop_1(k9_funct_2(u1_struct_0(A), k1_numbers), C, B), u1_struct_0(A), k1_numbers) &  (v1_pscomp_1(k1_finsop_1(k9_funct_2(u1_struct_0(A), k1_numbers), C, B), A) & m1_subset_1(k1_finsop_1(k9_funct_2(u1_struct_0(A), k1_numbers), C, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_nagata_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k9_funct_2(u1_struct_0(A), u1_struct_0(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k9_funct_2(u1_struct_0(A), u1_struct_0(B)))))) )  =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (v1_funct_1(k3_funct_2(u1_struct_0(A), k9_funct_2(u1_struct_0(A), u1_struct_0(B)), C, D)) &  (v1_funct_2(k3_funct_2(u1_struct_0(A), k9_funct_2(u1_struct_0(A), u1_struct_0(B)), C, D), u1_struct_0(A), u1_struct_0(B)) &  (v5_pre_topc(k3_funct_2(u1_struct_0(A), k9_funct_2(u1_struct_0(A), u1_struct_0(B)), C, D), A, B) & m1_subset_1(k3_funct_2(u1_struct_0(A), k9_funct_2(u1_struct_0(A), u1_struct_0(B)), C, D), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_zfmisc_1(u1_struct_0(A)))))) )  =>  ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(E, k3_funct_2(u1_struct_0(A), k1_zfmisc_1(u1_struct_0(A)), D, E)) &  (v3_pre_topc(k3_funct_2(u1_struct_0(A), k1_zfmisc_1(u1_struct_0(A)), D, E), A) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r2_tarski(F, k3_funct_2(u1_struct_0(A), k1_zfmisc_1(u1_struct_0(A)), D, G)) => k1_funct_1(k3_funct_2(u1_struct_0(A), k9_funct_2(u1_struct_0(A), u1_struct_0(B)), C, F), F)=k1_funct_1(k3_funct_2(u1_struct_0(A), k9_funct_2(u1_struct_0(A), u1_struct_0(B)), C, G), F)) ) ) ) ) ) ) ) )  => v5_pre_topc(k4_nagata_1(u1_struct_0(A), u1_struct_0(B), C), A, B)) ) ) ) ) ) ) ) ) ) ).
fof(d9_nagata_1, axiom,  (! [A] :  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (D=k5_nagata_1(A, B, C) <=>  (! [E] :  (r2_tarski(E, A) => k1_funct_1(D, E)=k3_xxreal_0(B, k1_funct_1(C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t27_nagata_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (v1_pscomp_1(C, A) => v1_pscomp_1(k5_nagata_1(u1_struct_0(A), B, C), A)) ) ) ) ) ) ) ).
fof(d10_nagata_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) )  =>  (r1_nagata_1(A, B) <=>  (v2_metric_1(B, A) &  (v4_metric_1(B, A) & v5_metric_1(B, A)) ) ) ) ) ) ).
fof(t28_nagata_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) )  =>  (r1_nagata_1(A, B) <=>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (k1_binop_1(B, C, C)=k5_numbers & r1_xxreal_0(k1_binop_1(B, C, E), k2_xcmplx_0(k1_binop_1(B, C, D), k1_binop_1(B, E, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_nagata_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) )  =>  (r1_nagata_1(A, B) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) => r1_xxreal_0(k5_numbers, k1_binop_1(B, C, D))) ) ) ) ) ) ) ) ).
fof(t30_nagata_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers)))) )  =>  (r1_nagata_1(u1_struct_0(A), C) =>  (r1_xxreal_0(B, k5_numbers) | r1_nagata_1(u1_struct_0(A), k5_nagata_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), B, C))) ) ) ) ) ) ) ) ).
fof(t31_nagata_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers)))) )  =>  (r1_pcomps_1(u1_struct_0(A), C) =>  (r1_xxreal_0(B, k5_numbers) | r1_pcomps_1(u1_struct_0(A), k5_nagata_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), B, C))) ) ) ) ) ) ) ) ).
fof(dt_k1_nagata_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))))) )  & m1_subset_1(C, k4_ordinal1)) )  => m1_subset_1(k1_nagata_1(A, B, C), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(redefinition_k1_nagata_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))))) )  & m1_subset_1(C, k4_ordinal1)) )  => k1_nagata_1(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k2_nagata_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))))) ) )  => m1_subset_1(k2_nagata_1(A, B), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(redefinition_k2_nagata_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))))) ) )  => k2_nagata_1(A, B)=k3_card_3(B)) ) ).
fof(dt_k3_nagata_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) )  =>  (v1_funct_1(k3_nagata_1(A, B, C)) &  (v1_funct_2(k3_nagata_1(A, B, C), u1_struct_0(A), k1_numbers) & m1_subset_1(k3_nagata_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) ).
fof(commutativity_k3_nagata_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) )  => k3_nagata_1(A, B, C)=k3_nagata_1(A, C, B)) ) ).
fof(redefinition_k3_nagata_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) )  => k3_nagata_1(A, B, C)=k1_valued_1(B, C)) ) ).
fof(dt_k4_nagata_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k9_funct_2(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k9_funct_2(A, B))))) ) ) )  =>  (v1_funct_1(k4_nagata_1(A, B, C)) &  (v1_funct_2(k4_nagata_1(A, B, C), A, B) & m1_subset_1(k4_nagata_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ).
fof(dt_k5_nagata_1, axiom,  (! [A, B, C] :  ( (v1_xreal_0(B) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_funct_1(k5_nagata_1(A, B, C)) &  (v1_funct_2(k5_nagata_1(A, B, C), A, k1_numbers) & m1_subset_1(k5_nagata_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ).
fof(t1_nagata_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ (A=k3_xcmplx_0(k1_newton(2, B), k1_nat_1(k3_xcmplx_0(2, C), 1))) ) ) ) ) ) ) ) ) ).
fof(d1_nagata_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_ordinal1)))) )  =>  (A=k1_nagata_2 <=>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k1_funct_1(A, k4_tarski(B, C))=k6_xcmplx_0(k3_xcmplx_0(k1_newton(2, B), k1_nat_1(k3_xcmplx_0(2, C), 1)), 1)) ) ) ) ) ) ) ).
fof(t2_nagata_2, axiom, v3_funct_2(k1_nagata_2, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_ordinal1)).
fof(d2_nagata_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (D=k2_nagata_2(A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) => k1_funct_1(D, E)=k1_binop_1(B, C, E)) ) ) ) ) ) ) ) ) ) ).
fof(t3_nagata_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A, B)))) =>  (v3_pre_topc(C, k2_borsuk_1(A, B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(B))) =>  ( (F=k7_relset_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(A), k9_funct_3(u1_struct_0(A), u1_struct_0(B)), k8_subset_1(u1_struct_0(k2_borsuk_1(A, B)), C, k2_zfmisc_1(u1_struct_0(A), k6_domain_1(u1_struct_0(B), E)))) => v3_pre_topc(F, A))  &  (G=k7_relset_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(B), k10_funct_3(u1_struct_0(A), u1_struct_0(B)), k8_subset_1(u1_struct_0(k2_borsuk_1(A, B)), C, k2_zfmisc_1(k6_domain_1(u1_struct_0(A), D), u1_struct_0(B)))) => v3_pre_topc(G, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_nagata_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers)))) )  =>  ( (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k2_borsuk_1(A, A)), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A, A)), k1_numbers)))) )  =>  (r1_funct_2(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers, u1_struct_0(k2_borsuk_1(A, A)), k1_numbers, B, C) => v1_pscomp_1(C, k2_borsuk_1(A, A))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => v1_pscomp_1(k2_nagata_2(u1_struct_0(A), B, C), A)) ) ) ) ) ) ) ).
fof(d3_nagata_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (D=k3_nagata_2(A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) => k3_funct_2(A, k1_numbers, D, E)=k3_seq_4(k7_relset_1(A, k1_numbers, k2_nagata_2(A, B, E), C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_nagata_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) )  =>  (r1_nagata_1(A, B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(A)))  =>  (! [D] :  (m1_subset_1(D, A) => r1_xxreal_0(k5_numbers, k3_funct_2(A, k1_numbers, k3_nagata_2(A, B, C), D))) ) ) ) ) ) ) ) ) ).
fof(t6_nagata_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) )  =>  (r1_nagata_1(A, B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, A) =>  (r2_tarski(D, C) => k3_funct_2(A, k1_numbers, k3_nagata_2(A, B, C), D)=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t7_nagata_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers)))) )  =>  (r1_nagata_1(u1_struct_0(A), B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))))  => r1_xxreal_0(k9_complex1(k5_real_1(k3_funct_2(u1_struct_0(A), k1_numbers, k3_nagata_2(u1_struct_0(A), B, E), C), k3_funct_2(u1_struct_0(A), k1_numbers, k3_nagata_2(u1_struct_0(A), B, E), D))), k2_binop_1(u1_struct_0(A), u1_struct_0(A), k1_numbers, B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_nagata_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers)))) )  =>  ( (r1_nagata_1(u1_struct_0(A), B) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => v1_pscomp_1(k2_nagata_2(u1_struct_0(A), B, C), A)) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  => v1_pscomp_1(k3_nagata_2(u1_struct_0(A), B, C), A)) ) ) ) ) ) ) ).
fof(t9_nagata_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) )  =>  (r1_pcomps_1(A, B) => r1_nagata_1(A, B)) ) ) ) ).
fof(t11_nagata_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers))))) )  =>  ( ( (! [C] :  (v7_ordinal1(C) =>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers)))) )  &  (r2_relset_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers, k1_seqfunc(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers, B, C), D) & r1_nagata_1(u1_struct_0(A), D)) ) ) ) )  &  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) => v1_series_1(k10_seqfunc(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), B, C))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers)))) )  =>  ( (! [D] :  (m1_subset_1(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) => k3_funct_2(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers, C, D)=k4_series_1(k10_seqfunc(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), B, D))) )  => r1_nagata_1(u1_struct_0(A), C)) ) ) ) ) ) ) ) ).
fof(t12_nagata_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(D, B) => r1_xxreal_0(k8_nat_1(k1_numbers, C, D), A)) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(D, B) => r1_xxreal_0(k8_nat_1(k1_numbers, k3_series_1(C), D), k3_xcmplx_0(A, k1_nat_1(D, 1)))) ) ) ) ) ) ) ) ) ) ).
fof(t13_nagata_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) => r1_xxreal_0(k9_complex1(k8_nat_1(k1_numbers, k3_series_1(A), B)), k8_nat_1(k1_numbers, k3_series_1(k56_valued_1(k4_ordinal1, k1_numbers, A)), B))) ) ) ) ).
fof(t14_nagata_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_partfun1(u1_struct_0(A), k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(u1_struct_0(A), k1_numbers))))) )  =>  ( (! [C] :  (v7_ordinal1(C) =>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  &  (r2_relset_1(u1_struct_0(A), k1_numbers, k1_seqfunc(u1_struct_0(A), k1_numbers, B, C), D) &  (v1_pscomp_1(D, A) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => r1_xxreal_0(k5_numbers, k3_funct_2(u1_struct_0(A), k1_numbers, D, E))) ) ) ) ) ) ) )  =>  ( (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( (v1_series_1(C) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => r1_xxreal_0(k8_nat_1(k1_numbers, k10_seqfunc(u1_struct_0(A), B, E), D), k8_nat_1(k1_numbers, C, D))) ) ) ) ) ) ) )  |  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k1_numbers, C, D)=k4_series_1(k10_seqfunc(u1_struct_0(A), B, D))) )  => v1_pscomp_1(C, A)) ) ) ) ) ) ) ) ) ).
fof(t15_nagata_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers))))) )  =>  ( (! [D] :  (v7_ordinal1(D) =>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers)))) )  &  (r2_relset_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers, k1_seqfunc(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers, C, D), E) &  (r1_nagata_1(u1_struct_0(A), E) &  ( (! [F] :  (m1_subset_1(F, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) => r1_xxreal_0(k3_funct_2(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers, E, F), B)) )  &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k2_borsuk_1(A, A)), k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A, A)), k1_numbers)))) )  =>  (r1_funct_2(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers, u1_struct_0(k2_borsuk_1(A, A)), k1_numbers, E, F) => v1_pscomp_1(F, k2_borsuk_1(A, A))) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers)))) )  =>  ( (! [E] :  (m1_subset_1(E, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) => k3_funct_2(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers, D, E)=k4_series_1(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k1_prepower(k7_xcmplx_0(1, 2)), k10_seqfunc(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), C, E)))) )  =>  (r1_nagata_1(u1_struct_0(A), D) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k2_borsuk_1(A, A)), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A, A)), k1_numbers)))) )  =>  (r1_funct_2(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers, u1_struct_0(k2_borsuk_1(A, A)), k1_numbers, D, E) => v1_pscomp_1(E, k2_borsuk_1(A, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_nagata_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers)))) )  =>  ( (r1_nagata_1(u1_struct_0(A), B) &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k2_borsuk_1(A, A)), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A, A)), k1_numbers)))) )  =>  (r1_funct_2(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers, u1_struct_0(k2_borsuk_1(A, A)), k1_numbers, B, C) => v1_pscomp_1(C, k2_borsuk_1(A, A))) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, k2_pre_topc(A, C)) => k3_funct_2(u1_struct_0(A), k1_numbers, k3_nagata_2(u1_struct_0(A), B, C), D)=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t17_nagata_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v7_pre_topc(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_partfun1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers))))) )  =>  ( ( (! [D] :  (v7_ordinal1(D) =>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers)))) )  &  (r2_relset_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers, k1_seqfunc(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers, C, D), E) &  (r1_nagata_1(u1_struct_0(A), E) &  ( (! [F] :  (m1_subset_1(F, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) => r1_xxreal_0(k3_funct_2(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers, E, F), B)) )  &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k2_borsuk_1(A, A)), k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A, A)), k1_numbers)))) )  =>  (r1_funct_2(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers, u1_struct_0(k2_borsuk_1(A, A)), k1_numbers, E, F) => v1_pscomp_1(F, k2_borsuk_1(A, A))) ) ) ) ) ) ) ) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( ( ~ (r2_tarski(D, E))  &  (v4_pre_topc(E, A) &  (! [F] :  (v7_ordinal1(F) =>  (? [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers)))) )  &  (r2_relset_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers, k1_seqfunc(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers, C, F), G) & r1_xxreal_0(k3_funct_2(u1_struct_0(A), k1_numbers, k3_nagata_2(u1_struct_0(A), G, E), D), k5_numbers)) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers)))) )  &  (r1_pcomps_1(u1_struct_0(A), D) &  (! [E] :  (m1_subset_1(E, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) => k3_funct_2(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers, D, E)=k4_series_1(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k1_prepower(k7_xcmplx_0(1, 2)), k10_seqfunc(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), C, E)))) ) ) ) )  & v3_pcomps_1(A)) ) ) ) ) ) ) ) ) ).
fof(t18_nagata_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  ~ ( (v2_funct_1(B) &  (v2_funct_1(C) &  (r1_tarski(k2_relset_1(A, C), k2_relset_1(A, B)) &  (v1_binop_1(D, A) &  (v2_binop_1(D, A) &  ( (v1_setwiseo(D, A) |  (r1_xxreal_0(1, k3_finseq_1(C)) &  ~ (r1_xxreal_0(k3_finseq_1(B), k3_finseq_1(C))) ) )  &  (! [E] :  (m2_finseq_1(E, A) =>  ~ ( (v2_funct_1(E) &  (k2_relset_1(A, E)=k7_subset_1(A, k2_relset_1(A, B), k2_relset_1(A, C)) & k1_finsop_1(A, B, D)=k4_binop_1(A, D, k1_finsop_1(A, C, D), k1_finsop_1(A, E, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_nagata_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( (v9_pre_topc(A) &  (v7_pre_topc(A) &  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))))) )  & v6_nagata_1(B, A)) ) ) )  <=> v3_pcomps_1(A)) ) ) ).
fof(t20_nagata_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v3_pcomps_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ~ ( (m1_setfam_1(B, u1_struct_0(A)) &  (v1_tops_2(B, A) &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))))) )  =>  ~ ( (v1_tops_2(k2_nagata_1(A, C), A) &  (m1_setfam_1(k2_nagata_1(A, C), u1_struct_0(A)) &  (r1_setfam_1(k2_nagata_1(A, C), B) & v2_nagata_1(C, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_nagata_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ~ ( (v3_pcomps_1(A) &  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))))) )  =>  ~ (v5_nagata_1(B, A)) ) ) ) ) ) ) ).
fof(t22_nagata_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( (v9_pre_topc(A) &  (v7_pre_topc(A) &  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))))) )  & v5_nagata_1(B, A)) ) ) )  <=> v3_pcomps_1(A)) ) ) ).
fof(dt_k1_nagata_2, axiom,  (v1_funct_1(k1_nagata_2) &  (v1_funct_2(k1_nagata_2, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_ordinal1) & m1_subset_1(k1_nagata_2, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_ordinal1)))) ) ).
fof(dt_k2_nagata_2, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) )  & m1_subset_1(C, A))  =>  (v1_funct_1(k2_nagata_2(A, B, C)) &  (v1_funct_2(k2_nagata_2(A, B, C), A, k1_numbers) & m1_subset_1(k2_nagata_2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ).
fof(dt_k3_nagata_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) )  & m1_subset_1(C, k1_zfmisc_1(A))) )  =>  (v1_funct_1(k3_nagata_2(A, B, C)) &  (v1_funct_2(k3_nagata_2(A, B, C), A, k1_numbers) & m1_subset_1(k3_nagata_2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ).
fof(t10_nagata_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers)))) )  =>  ( (r1_pcomps_1(u1_struct_0(A), B) &  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  => k2_pre_topc(A, C)=a_3_0_nagata_2(A, B, C)) ) )  => v3_pcomps_1(A)) ) ) ) ) ).
fof(fraenkel_a_3_0_nagata_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), k1_numbers)))) )  &  ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) )  =>  (r2_hidden(A, a_3_0_nagata_2(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E & k3_funct_2(u1_struct_0(B), k1_numbers, k3_nagata_2(u1_struct_0(B), C, D), E)=k5_numbers) ) ) ) ) ) ).
fof(rc1_nat_1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(fc1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k2_xcmplx_0(A, B))) ) ).
fof(fc2_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k3_xcmplx_0(A, B))) ) ).
fof(rc2_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) & v8_ordinal1(A)) ) ).
fof(rc3_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ).
fof(fc3_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v8_ordinal1(k2_xcmplx_0(A, B))) ) ) ).
fof(fc4_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v8_ordinal1(k2_xcmplx_0(B, A))) ) ) ).
fof(cc1_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v3_ordinal1(A) & v7_ordinal1(A)) ) ) ).
fof(rc4_nat_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) &  ( ~ (v1_xboole_0(A))  & v3_ordinal1(A)) ) ) ).
fof(rc5_nat_1, axiom,  (? [A] :  (m1_subset_1(A, k4_ordinal1) &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v1_xreal_0(A) &  (v1_finset_1(A) & v1_card_1(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(cc2_nat_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ~ (v3_xxreal_0(A)) ) ) ).
fof(cc3_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(fc5_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  =>  (v7_ordinal1(k3_xxreal_0(A, B)) & v1_xxreal_0(k3_xxreal_0(A, B))) ) ) ).
fof(fc6_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  =>  (v7_ordinal1(k4_xxreal_0(A, B)) & v1_xxreal_0(k4_xxreal_0(A, B))) ) ) ).
fof(fc7_nat_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) ) )  & v7_ordinal1(C)) )  =>  (v1_relat_1(k6_nat_1(B, C)) &  (v4_relat_1(k6_nat_1(B, C), k4_ordinal1) &  (v5_relat_1(k6_nat_1(B, C), A) &  (v1_funct_1(k6_nat_1(B, C)) & v1_partfun1(k6_nat_1(B, C), k4_ordinal1)) ) ) ) ) ) ).
fof(fc8_nat_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) ) )  =>  (v1_relat_1(k3_relat_1(A, C)) &  (v4_relat_1(k3_relat_1(A, C), k4_ordinal1) &  (v5_relat_1(k3_relat_1(A, C), B) & v1_funct_1(k3_relat_1(A, C))) ) ) ) ) ).
fof(fc9_nat_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) ) )  =>  (v1_relat_1(k3_relat_1(A, C)) & v1_partfun1(k3_relat_1(A, C), k4_ordinal1)) ) ) ).
fof(rd1_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) => k10_subset_1(A, k4_ordinal1)=A) ) ).
fof(fc10_nat_1, axiom,  (! [A, B] :  (v3_ordinal1(A) => v5_ordinal1(k2_funcop_1(A, B))) ) ).
fof(cc4_nat_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v8_ordinal1(A))  =>  (v7_ordinal1(A) &  ~ (v2_xxreal_0(A)) ) ) ) ).
fof(fc11_nat_1, axiom,  (! [A] :  ( ~ (v8_ordinal1(A))  => v1_setfam_1(k1_tarski(A))) ) ).
fof(fc12_nat_1, axiom,  (! [A, B] :  ( ( ~ (v8_ordinal1(A))  &  ~ (v8_ordinal1(B)) )  => v1_setfam_1(k2_tarski(A, B))) ) ).
fof(fc13_nat_1, axiom,  (! [A, B, C] :  ( ( ~ (v8_ordinal1(A))  &  ( ~ (v8_ordinal1(B))  &  ~ (v8_ordinal1(C)) ) )  => v1_setfam_1(k1_enumset1(A, B, C))) ) ).
fof(fc14_nat_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v8_ordinal1(A))  &  ( ~ (v8_ordinal1(B))  &  ( ~ (v8_ordinal1(C))  &  ~ (v8_ordinal1(D)) ) ) )  => v1_setfam_1(k2_enumset1(A, B, C, D))) ) ).
fof(fc15_nat_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v8_ordinal1(A))  &  ( ~ (v8_ordinal1(B))  &  ( ~ (v8_ordinal1(C))  &  ( ~ (v8_ordinal1(D))  &  ~ (v8_ordinal1(E)) ) ) ) )  => v1_setfam_1(k3_enumset1(A, B, C, D, E))) ) ).
fof(fc16_nat_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v8_ordinal1(A))  &  ( ~ (v8_ordinal1(B))  &  ( ~ (v8_ordinal1(C))  &  ( ~ (v8_ordinal1(D))  &  ( ~ (v8_ordinal1(E))  &  ~ (v8_ordinal1(F)) ) ) ) ) )  => v1_setfam_1(k4_enumset1(A, B, C, D, E, F))) ) ).
fof(fc17_nat_1, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ~ (v8_ordinal1(A))  &  ( ~ (v8_ordinal1(B))  &  ( ~ (v8_ordinal1(C))  &  ( ~ (v8_ordinal1(D))  &  ( ~ (v8_ordinal1(E))  &  ( ~ (v8_ordinal1(F))  &  ~ (v8_ordinal1(G)) ) ) ) ) ) )  => v1_setfam_1(k5_enumset1(A, B, C, D, E, F, G))) ) ).
fof(fc18_nat_1, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( ~ (v8_ordinal1(A))  &  ( ~ (v8_ordinal1(B))  &  ( ~ (v8_ordinal1(C))  &  ( ~ (v8_ordinal1(D))  &  ( ~ (v8_ordinal1(E))  &  ( ~ (v8_ordinal1(F))  &  ( ~ (v8_ordinal1(G))  &  ~ (v8_ordinal1(H)) ) ) ) ) ) ) )  => v1_setfam_1(k6_enumset1(A, B, C, D, E, F, G, H))) ) ).
fof(fc19_nat_1, axiom,  (! [A, B, C, D, E, F, G, H, I] :  ( ( ~ (v8_ordinal1(A))  &  ( ~ (v8_ordinal1(B))  &  ( ~ (v8_ordinal1(C))  &  ( ~ (v8_ordinal1(D))  &  ( ~ (v8_ordinal1(E))  &  ( ~ (v8_ordinal1(F))  &  ( ~ (v8_ordinal1(G))  &  ( ~ (v8_ordinal1(H))  &  ~ (v8_ordinal1(I)) ) ) ) ) ) ) ) )  => v1_setfam_1(k7_enumset1(A, B, C, D, E, F, G, H, I))) ) ).
fof(fc20_nat_1, axiom,  (! [A, B, C, D, E, F, G, H, I, J] :  ( ( ~ (v8_ordinal1(A))  &  ( ~ (v8_ordinal1(B))  &  ( ~ (v8_ordinal1(C))  &  ( ~ (v8_ordinal1(D))  &  ( ~ (v8_ordinal1(E))  &  ( ~ (v8_ordinal1(F))  &  ( ~ (v8_ordinal1(G))  &  ( ~ (v8_ordinal1(H))  &  ( ~ (v8_ordinal1(I))  &  ~ (v8_ordinal1(J)) ) ) ) ) ) ) ) ) )  => v1_setfam_1(k8_enumset1(A, B, C, D, E, F, G, H, I, J))) ) ).
fof(cc5_nat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v8_ordinal1(A)) ) ).
fof(cc6_nat_1, axiom,  (! [A] :  ( ~ (v8_ordinal1(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(t1_nat_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  ( (r2_tarski(k5_numbers, A) &  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, A) => r2_tarski(k2_xcmplx_0(B, 1), A)) ) ) )  =>  (! [B] :  (v7_ordinal1(B) => r2_tarski(B, A)) ) ) ) ) ).
fof(t2_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) => r1_xxreal_0(k5_numbers, A)) ) ).
fof(t3_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (k5_numbers=A)  & r1_xxreal_0(A, k5_numbers)) ) ) ) ).
fof(t4_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(A, B) => r1_xxreal_0(k3_xcmplx_0(A, C), k3_xcmplx_0(B, C))) ) ) ) ) ) ) ).
fof(t5_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ (r1_xxreal_0(k1_nat_1(A, 1), k5_numbers)) ) ) ).
fof(t6_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (A=k5_numbers)  &  (! [B] :  (v7_ordinal1(B) =>  ~ (A=k1_nat_1(B, 1)) ) ) ) ) ) ) ).
fof(t7_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (k2_xcmplx_0(A, B)=k5_numbers =>  (A=k5_numbers & B=k5_numbers) ) ) ) ) ) ).
fof(t8_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(A, k1_nat_1(B, 1)) &  ( ~ (r1_xxreal_0(A, B))  &  ~ (A=k1_nat_1(B, 1)) ) ) ) ) ) ) ) ).
fof(t9_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(A, B) &  (r1_xxreal_0(B, k1_nat_1(A, 1)) &  ( ~ (A=B)  &  ~ (B=k1_nat_1(A, 1)) ) ) ) ) ) ) ) ) ).
fof(t10_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(A, B) &  (! [C] :  (v7_ordinal1(C) =>  ~ (B=k2_xcmplx_0(A, C)) ) ) ) ) ) ) ) ) ).
fof(t11_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => r1_xxreal_0(A, k2_xcmplx_0(A, B))) ) ) ) ).
fof(t12_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(A, B) => r1_xxreal_0(A, k2_xcmplx_0(B, C))) ) ) ) ) ) ) ).
fof(t13_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(k1_nat_1(B, 1), A))  <=> r1_xxreal_0(A, B)) ) ) ) ) ).
fof(t14_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(1, A))  => A=k5_numbers) ) ) ).
fof(t15_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (k3_xcmplx_0(A, B)=1 => A=1) ) ) ) ) ).
fof(t16_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (B=k5_numbers)  & r1_xxreal_0(k2_xcmplx_0(A, B), A)) ) ) ) ) ) ).
fof(t17_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  =>  (! [B] :  (v7_ordinal1(B) =>  (? [C] :  (v7_ordinal1(C) &  (? [D] :  (v7_ordinal1(D) &  (B=k2_xcmplx_0(k3_xcmplx_0(A, C), D) &  ~ (r1_xxreal_0(A, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (A=k2_xcmplx_0(k3_xcmplx_0(B, C), D) & A=k2_xcmplx_0(k3_xcmplx_0(B, E), F))  =>  (r1_xxreal_0(B, D) |  (r1_xxreal_0(B, F) |  (C=E & D=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(k2_xcmplx_0(A, B), A))  <=> r1_xxreal_0(1, B)) ) ) ) ) ).
fof(t20_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(B, A))  => m1_subset_1(k6_xcmplx_0(B, 1), k4_ordinal1)) ) ) ) ) ).
fof(t21_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(A, B) => m1_subset_1(k6_xcmplx_0(B, A), k4_ordinal1)) ) ) ) ) ).
fof(t22_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(k1_nat_1(B, 1), A))  &  (r1_xxreal_0(B, A) &  ~ (A=B) ) ) ) ) ) ) ) ).
fof(t23_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (r1_xxreal_0(2, A))  &  ( ~ (A=k5_numbers)  &  ~ (A=1) ) ) ) ) ) ).
fof(t24_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (C=k3_xcmplx_0(B, A) =>  (A=k5_numbers | r1_xxreal_0(B, C)) ) ) ) ) ) ) ) ).
fof(t25_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( (r1_xxreal_0(A, 1) &  ( ~ (A=k5_numbers)  &  ~ (A=1) ) ) ) ) ) ).
fof(d1_nat_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ( ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k4_ordinal1)))  =>  (B=k3_nat_1(A) <=>  (r2_tarski(B, A) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, A) => r1_xxreal_0(B, C)) ) ) ) ) )  &  ( ~ ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k4_ordinal1))) )  =>  (B=k3_nat_1(A) <=> B=k5_numbers) ) ) ) ) ) ).
fof(t38_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) => k1_ordinal1(k5_card_1(A))=k5_card_1(k1_nat_1(A, 1))) ) ).
fof(t39_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(B, A) <=> r1_ordinal1(k5_card_1(B), k5_card_1(A))) ) ) ) ) ).
fof(t40_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_ordinal1(k4_card_1(k5_card_1(B)), k4_card_1(k5_card_1(A))) <=> r1_xxreal_0(B, A)) ) ) ) ) ).
fof(t41_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(k4_card_1(k5_card_1(B)), k4_card_1(k5_card_1(A))) <=>  ~ (r1_xxreal_0(A, B)) ) ) ) ) ) ).
fof(t42_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) => k2_card_1(k4_card_1(k5_card_1(A)))=k4_card_1(k5_card_1(k1_nat_1(A, 1)))) ) ).
fof(t43_nat_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (v1_finset_1(B) =>  (r1_tarski(A, B) => r1_xxreal_0(k4_card_1(A), k4_card_1(B))) ) ) ) ) ).
fof(t44_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_hidden(A, k5_card_1(B)) <=>  ~ (r1_xxreal_0(B, A)) ) ) ) ) ) ).
fof(t45_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) => r2_hidden(A, k5_card_1(k1_nat_1(A, 1)))) ) ).
fof(d2_nat_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) )  =>  (C=k6_nat_1(A, B) <=>  (! [D] :  (v7_ordinal1(D) => k1_funct_1(C, D)=k1_funct_1(A, k2_xcmplx_0(D, B))) ) ) ) ) ) ) ) ) ).
fof(t47_nat_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  => r2_funct_2(k4_ordinal1, A, k7_nat_1(A, B, k5_numbers), B)) ) ) ) ).
fof(t48_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, C)))) )  => r2_funct_2(k4_ordinal1, C, k7_nat_1(C, k7_nat_1(C, D, A), B), k7_nat_1(C, D, k2_xcmplx_0(A, B)))) ) ) ) ) ) ) ) ).
fof(t49_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, C)))) )  => r2_funct_2(k4_ordinal1, C, k7_nat_1(C, k7_nat_1(C, D, A), B), k7_nat_1(C, k7_nat_1(C, D, B), A))) ) ) ) ) ) ) ) ).
fof(t50_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_ordinal1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  => r2_funct_2(k4_ordinal1, B, k7_nat_1(B, k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, B, D, C), A), k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, B, k7_nat_1(k4_ordinal1, D, A), C))) ) ) ) ) ) ) ) ).
fof(t51_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  => r2_tarski(k1_funct_1(C, A), k10_xtuple_0(C))) ) ) ) ) ) ).
fof(t52_nat_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  ( (! [D] :  (v7_ordinal1(D) => r2_tarski(k1_funct_1(C, D), A)) )  => r1_tarski(k10_xtuple_0(C), A)) ) ) ) ) ) ).
fof(t53_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (v8_ordinal1(A))  &  ( ~ (A=1)  & r1_xxreal_0(A, 1)) ) ) ) ) ).
fof(t55_nat_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) )  =>  (! [B] :  (v7_ordinal1(B) => r1_tarski(k10_xtuple_0(k6_nat_1(A, B)), k10_xtuple_0(A))) ) ) ) ).
fof(t59_nat_1, axiom,  (! [A] :  (v1_finset_1(A) =>  ~ ( ( ~ (r1_xxreal_0(k4_card_1(A), 1))  &  (! [B] :  (! [C] :  ~ ( (r2_tarski(B, A) &  (r2_tarski(C, A) &  ~ (B=C) ) ) ) ) ) ) ) ) ) ).
fof(t60_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(A, B) &  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(k5_numbers, C) &  (r1_xxreal_0(C, B) & A=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ~ ( (r2_hidden(B, k5_card_1(k1_nat_1(A, 1))) &  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(k5_numbers, C) &  (r1_xxreal_0(C, A) & B=C) ) ) ) ) ) ) ) ) ) ).
fof(t62_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(B, C) &  (r1_xxreal_0(C, k2_xcmplx_0(B, A)) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(k1_nat_1(B, k5_numbers), D) &  (r1_xxreal_0(D, k2_xcmplx_0(B, A)) & C=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) => r1_ordinal1(k5_card_1(A), k5_card_1(k1_nat_1(A, 1)))) ) ).
fof(s2_nat_1, axiom,  ( (p1_s2_nat_1(k5_numbers) &  (! [A] :  (v7_ordinal1(A) =>  (p1_s2_nat_1(A) => p1_s2_nat_1(k1_nat_1(A, 1))) ) ) )  =>  (! [A] :  (v7_ordinal1(A) => p1_s2_nat_1(A)) ) ) ).
fof(s3_nat_1, axiom,  ( (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (p1_s3_nat_1(A, B) <=>  ~ ( ( ~ ( (A=k5_numbers & B=f1_s3_nat_1) )  &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (A=k1_nat_1(C, 1) &  (p1_s3_nat_1(C, D) & B=f2_s3_nat_1(A, D)) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (v7_ordinal1(B) & p1_s3_nat_1(A, B)) ) ) )  &  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (p1_s3_nat_1(A, B) & p1_s3_nat_1(A, C))  => B=C) ) ) ) ) ) ) ) ) ).
fof(s4_nat_1, axiom,  ( (! [A] :  (v7_ordinal1(A) =>  ( (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(A, B))  => p1_s4_nat_1(B)) ) )  => p1_s4_nat_1(A)) ) )  =>  (! [A] :  (v7_ordinal1(A) => p1_s4_nat_1(A)) ) ) ).
fof(s5_nat_1, axiom,  ( (? [A] :  (v7_ordinal1(A) & p1_s5_nat_1(A)) )  =>  (? [A] :  (v7_ordinal1(A) &  (p1_s5_nat_1(A) &  (! [B] :  (v7_ordinal1(B) =>  (p1_s5_nat_1(B) => r1_xxreal_0(A, B)) ) ) ) ) ) ) ).
fof(s6_nat_1, axiom,  ( ( (! [A] :  (v7_ordinal1(A) =>  (p1_s6_nat_1(A) => r1_xxreal_0(A, f1_s6_nat_1)) ) )  &  (? [A] :  (v7_ordinal1(A) & p1_s6_nat_1(A)) ) )  =>  (? [A] :  (v7_ordinal1(A) &  (p1_s6_nat_1(A) &  (! [B] :  (v7_ordinal1(B) =>  (p1_s6_nat_1(B) => r1_xxreal_0(B, A)) ) ) ) ) ) ) ).
fof(s7_nat_1, axiom,  ( ( (? [A] :  (v7_ordinal1(A) & p1_s7_nat_1(A)) )  &  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (A=k5_numbers)  &  (p1_s7_nat_1(A) &  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  & p1_s7_nat_1(B)) ) ) ) ) ) ) ) ) )  => p1_s7_nat_1(k5_numbers)) ).
fof(s8_nat_1, axiom,  ( (p1_s8_nat_1(f1_s8_nat_1) &  (! [A] :  (v7_ordinal1(A) =>  ( (r1_xxreal_0(f1_s8_nat_1, A) & p1_s8_nat_1(A))  => p1_s8_nat_1(k1_nat_1(A, 1))) ) ) )  =>  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(f1_s8_nat_1, A) => p1_s8_nat_1(A)) ) ) ) ).
fof(s9_nat_1, axiom,  ( (! [A] :  (v7_ordinal1(A) =>  ( (r1_xxreal_0(f1_s9_nat_1, A) &  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(f1_s9_nat_1, B) =>  (r1_xxreal_0(A, B) | p1_s9_nat_1(B)) ) ) ) )  => p1_s9_nat_1(A)) ) )  =>  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(f1_s9_nat_1, A) => p1_s9_nat_1(A)) ) ) ) ).
fof(s10_nat_1, axiom,  ( (p1_s10_nat_1(1) &  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (p1_s10_nat_1(A) => p1_s10_nat_1(k1_nat_1(A, 1))) ) ) )  =>  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => p1_s10_nat_1(A)) ) ) ).
fof(s11_nat_1, axiom,  (? [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  &  (k9_xtuple_0(A)=k4_ordinal1 &  (k1_funct_1(A, k5_numbers)=f1_s11_nat_1 &  (! [B] :  (v7_ordinal1(B) => k1_funct_1(A, k1_nat_1(B, 1))=f2_s11_nat_1(B, k1_funct_1(A, B))) ) ) ) ) ) ).
fof(s12_nat_1, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, f1_s12_nat_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f1_s12_nat_1)))) )  &  (k3_funct_2(k4_ordinal1, f1_s12_nat_1, A, k5_numbers)=f2_s12_nat_1 &  (! [B] :  (v7_ordinal1(B) => k3_funct_2(k4_ordinal1, f1_s12_nat_1, A, k1_nat_1(B, 1))=f3_s12_nat_1(B, k1_funct_1(A, B))) ) ) ) ) ).
fof(s13_nat_1, axiom,  ( (k9_xtuple_0(f2_s13_nat_1)=k4_ordinal1 &  (k1_funct_1(f2_s13_nat_1, k5_numbers)=f1_s13_nat_1 &  ( (! [A] :  (v7_ordinal1(A) => p1_s13_nat_1(A, k1_funct_1(f2_s13_nat_1, A), k1_funct_1(f2_s13_nat_1, k1_nat_1(A, 1)))) )  &  (k9_xtuple_0(f3_s13_nat_1)=k4_ordinal1 &  (k1_funct_1(f3_s13_nat_1, k5_numbers)=f1_s13_nat_1 &  ( (! [A] :  (v7_ordinal1(A) => p1_s13_nat_1(A, k1_funct_1(f3_s13_nat_1, A), k1_funct_1(f3_s13_nat_1, k1_nat_1(A, 1)))) )  &  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  (! [D] :  ( (p1_s13_nat_1(A, B, C) & p1_s13_nat_1(A, B, D))  => C=D) ) ) ) ) ) ) ) ) ) ) )  => f2_s13_nat_1=f3_s13_nat_1) ).
fof(s14_nat_1, axiom,  ( (k3_funct_2(k4_ordinal1, f1_s14_nat_1, f3_s14_nat_1, k5_numbers)=f2_s14_nat_1 &  ( (! [A] :  (v7_ordinal1(A) => p1_s14_nat_1(A, k1_funct_1(f3_s14_nat_1, A), k3_funct_2(k4_ordinal1, f1_s14_nat_1, f3_s14_nat_1, k1_nat_1(A, 1)))) )  &  (k3_funct_2(k4_ordinal1, f1_s14_nat_1, f4_s14_nat_1, k5_numbers)=f2_s14_nat_1 &  ( (! [A] :  (v7_ordinal1(A) => p1_s14_nat_1(A, k1_funct_1(f4_s14_nat_1, A), k3_funct_2(k4_ordinal1, f1_s14_nat_1, f4_s14_nat_1, k1_nat_1(A, 1)))) )  &  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, f1_s14_nat_1) =>  (! [C] :  (m1_subset_1(C, f1_s14_nat_1) =>  (! [D] :  (m1_subset_1(D, f1_s14_nat_1) =>  ( (p1_s14_nat_1(A, B, C) & p1_s14_nat_1(A, B, D))  => C=D) ) ) ) ) ) ) ) ) ) ) ) )  => r2_funct_2(k4_ordinal1, f1_s14_nat_1, f3_s14_nat_1, f4_s14_nat_1)) ).
fof(s15_nat_1, axiom,  ( (k9_xtuple_0(f3_s15_nat_1)=k4_ordinal1 &  (k1_funct_1(f3_s15_nat_1, k5_numbers)=f1_s15_nat_1 &  ( (! [A] :  (v7_ordinal1(A) => k1_funct_1(f3_s15_nat_1, k1_nat_1(A, 1))=f2_s15_nat_1(A, k1_funct_1(f3_s15_nat_1, A))) )  &  (k9_xtuple_0(f4_s15_nat_1)=k4_ordinal1 &  (k1_funct_1(f4_s15_nat_1, k5_numbers)=f1_s15_nat_1 &  (! [A] :  (v7_ordinal1(A) => k1_funct_1(f4_s15_nat_1, k1_nat_1(A, 1))=f2_s15_nat_1(A, k1_funct_1(f4_s15_nat_1, A))) ) ) ) ) ) )  => f3_s15_nat_1=f4_s15_nat_1) ).
fof(s16_nat_1, axiom,  ( (k3_funct_2(k4_ordinal1, f1_s16_nat_1, f4_s16_nat_1, k5_numbers)=f2_s16_nat_1 &  ( (! [A] :  (v7_ordinal1(A) => k3_funct_2(k4_ordinal1, f1_s16_nat_1, f4_s16_nat_1, k1_nat_1(A, 1))=f3_s16_nat_1(A, k1_funct_1(f4_s16_nat_1, A))) )  &  (k3_funct_2(k4_ordinal1, f1_s16_nat_1, f5_s16_nat_1, k5_numbers)=f2_s16_nat_1 &  (! [A] :  (v7_ordinal1(A) => k3_funct_2(k4_ordinal1, f1_s16_nat_1, f5_s16_nat_1, k1_nat_1(A, 1))=f3_s16_nat_1(A, k1_funct_1(f5_s16_nat_1, A))) ) ) ) )  => r2_funct_2(k4_ordinal1, f1_s16_nat_1, f4_s16_nat_1, f5_s16_nat_1)) ).
fof(s17_nat_1, axiom,  ( (! [A] :  (v7_ordinal1(A) =>  ~ ( (r1_xxreal_0(f1_s17_nat_1(A), f1_s17_nat_1(k1_nat_1(A, 1))) &  ~ (f1_s17_nat_1(A)=k5_numbers) ) ) ) )  =>  (? [A] :  (v7_ordinal1(A) &  (f1_s17_nat_1(A)=k5_numbers &  (! [B] :  (v7_ordinal1(B) =>  (f1_s17_nat_1(B)=k5_numbers => r1_xxreal_0(A, B)) ) ) ) ) ) ) ).
fof(s18_nat_1, axiom,  ( (! [A] :  (v7_ordinal1(A) =>  ~ ( (r1_xxreal_0(f1_s18_nat_1(A), f1_s18_nat_1(k1_nat_1(A, 1))) &  ~ (p1_s18_nat_1(A)) ) ) ) )  =>  (? [A] :  (v7_ordinal1(A) &  (p1_s18_nat_1(A) &  (! [B] :  (v7_ordinal1(B) =>  (p1_s18_nat_1(B) => r1_xxreal_0(A, B)) ) ) ) ) ) ) ).
fof(s19_nat_1, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s19_nat_1) =>  (! [B] :  (v7_ordinal1(B) =>  (? [C] :  (m1_subset_1(C, f2_s19_nat_1) & p1_s19_nat_1(A, B, C)) ) ) ) ) )  =>  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(f1_s19_nat_1, k4_ordinal1), f2_s19_nat_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(f1_s19_nat_1, k4_ordinal1), f2_s19_nat_1)))) )  &  (! [B] :  (m1_subset_1(B, f1_s19_nat_1) =>  (! [C] :  (v7_ordinal1(C) => p1_s19_nat_1(B, C, k1_binop_1(A, B, C))) ) ) ) ) ) ) ).
fof(dt_k1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k4_ordinal1))  => m1_subset_1(k1_nat_1(A, B), k4_ordinal1)) ) ).
fof(commutativity_k1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k4_ordinal1))  => k1_nat_1(A, B)=k1_nat_1(B, A)) ) ).
fof(redefinition_k1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k4_ordinal1))  => k1_nat_1(A, B)=k2_xcmplx_0(A, B)) ) ).
fof(dt_k2_nat_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  => m1_subset_1(k2_nat_1(A, B), k4_ordinal1)) ) ).
fof(commutativity_k2_nat_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  => k2_nat_1(A, B)=k2_nat_1(B, A)) ) ).
fof(redefinition_k2_nat_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  => k2_nat_1(A, B)=k3_xcmplx_0(A, B)) ) ).
fof(dt_f1_s3_nat_1, axiom, v7_ordinal1(f1_s3_nat_1)).
fof(dt_f2_s3_nat_1, axiom,  (! [A, B] : v7_ordinal1(f2_s3_nat_1(A, B))) ).
fof(dt_f1_s6_nat_1, axiom, v7_ordinal1(f1_s6_nat_1)).
fof(dt_f1_s8_nat_1, axiom, v7_ordinal1(f1_s8_nat_1)).
fof(dt_f1_s9_nat_1, axiom, v7_ordinal1(f1_s9_nat_1)).
fof(dt_k3_nat_1, axiom,  (! [A] : m1_subset_1(k3_nat_1(A), k4_ordinal1)) ).
fof(dt_f1_s12_nat_1, axiom,  ~ (v1_xboole_0(f1_s12_nat_1)) ).
fof(dt_f2_s12_nat_1, axiom, m1_subset_1(f2_s12_nat_1, f1_s12_nat_1)).
fof(dt_f3_s12_nat_1, axiom,  (! [A, B] : m1_subset_1(f3_s12_nat_1(A, B), f1_s12_nat_1)) ).
fof(dt_f2_s13_nat_1, axiom,  (v1_relat_1(f2_s13_nat_1) & v1_funct_1(f2_s13_nat_1)) ).
fof(dt_f3_s13_nat_1, axiom,  (v1_relat_1(f3_s13_nat_1) & v1_funct_1(f3_s13_nat_1)) ).
fof(dt_f1_s14_nat_1, axiom,  ~ (v1_xboole_0(f1_s14_nat_1)) ).
fof(dt_f2_s14_nat_1, axiom, m1_subset_1(f2_s14_nat_1, f1_s14_nat_1)).
fof(dt_f3_s14_nat_1, axiom,  (v1_funct_1(f3_s14_nat_1) &  (v1_funct_2(f3_s14_nat_1, k4_ordinal1, f1_s14_nat_1) & m1_subset_1(f3_s14_nat_1, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f1_s14_nat_1)))) ) ).
fof(dt_f4_s14_nat_1, axiom,  (v1_funct_1(f4_s14_nat_1) &  (v1_funct_2(f4_s14_nat_1, k4_ordinal1, f1_s14_nat_1) & m1_subset_1(f4_s14_nat_1, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f1_s14_nat_1)))) ) ).
fof(dt_f3_s15_nat_1, axiom,  (v1_relat_1(f3_s15_nat_1) & v1_funct_1(f3_s15_nat_1)) ).
fof(dt_f4_s15_nat_1, axiom,  (v1_relat_1(f4_s15_nat_1) & v1_funct_1(f4_s15_nat_1)) ).
fof(dt_f1_s16_nat_1, axiom,  ~ (v1_xboole_0(f1_s16_nat_1)) ).
fof(dt_f2_s16_nat_1, axiom, m1_subset_1(f2_s16_nat_1, f1_s16_nat_1)).
fof(dt_f3_s16_nat_1, axiom,  (! [A, B] : m1_subset_1(f3_s16_nat_1(A, B), f1_s16_nat_1)) ).
fof(dt_f4_s16_nat_1, axiom,  (v1_funct_1(f4_s16_nat_1) &  (v1_funct_2(f4_s16_nat_1, k4_ordinal1, f1_s16_nat_1) & m1_subset_1(f4_s16_nat_1, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f1_s16_nat_1)))) ) ).
fof(dt_f5_s16_nat_1, axiom,  (v1_funct_1(f5_s16_nat_1) &  (v1_funct_2(f5_s16_nat_1, k4_ordinal1, f1_s16_nat_1) & m1_subset_1(f5_s16_nat_1, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f1_s16_nat_1)))) ) ).
fof(dt_k4_nat_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  => m1_subset_1(k4_nat_1(A, B), k4_ordinal1)) ) ).
fof(commutativity_k4_nat_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  => k4_nat_1(A, B)=k4_nat_1(B, A)) ) ).
fof(idempotence_k4_nat_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  => k4_nat_1(A, A)=A) ) ).
fof(redefinition_k4_nat_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  => k4_nat_1(A, B)=k3_xxreal_0(A, B)) ) ).
fof(dt_k5_nat_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  => m1_subset_1(k5_nat_1(A, B), k4_ordinal1)) ) ).
fof(commutativity_k5_nat_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  => k5_nat_1(A, B)=k5_nat_1(B, A)) ) ).
fof(idempotence_k5_nat_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  => k5_nat_1(A, A)=A) ) ).
fof(redefinition_k5_nat_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  => k5_nat_1(A, B)=k4_xxreal_0(A, B)) ) ).
fof(dt_f1_s17_nat_1, axiom,  (! [A] : v7_ordinal1(f1_s17_nat_1(A))) ).
fof(dt_k6_nat_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) )  & v7_ordinal1(B))  =>  (v1_relat_1(k6_nat_1(A, B)) &  (v4_relat_1(k6_nat_1(A, B), k4_ordinal1) &  (v1_funct_1(k6_nat_1(A, B)) & v1_partfun1(k6_nat_1(A, B), k4_ordinal1)) ) ) ) ) ).
fof(dt_k7_nat_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  & v7_ordinal1(C)) )  =>  (v1_funct_1(k7_nat_1(A, B, C)) &  (v1_funct_2(k7_nat_1(A, B, C), k4_ordinal1, A) & m1_subset_1(k7_nat_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) ) ) ) ).
fof(redefinition_k7_nat_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  & v7_ordinal1(C)) )  => k7_nat_1(A, B, C)=k6_nat_1(B, C)) ) ).
fof(dt_f1_s18_nat_1, axiom,  (! [A] : v7_ordinal1(f1_s18_nat_1(A))) ).
fof(dt_k8_nat_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  & v7_ordinal1(C))  => m1_subset_1(k8_nat_1(A, B, C), A)) ) ).
fof(redefinition_k8_nat_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  & v7_ordinal1(C))  => k8_nat_1(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k9_nat_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, k4_ordinal1), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1), A)))) )  &  (m1_subset_1(C, A) & v7_ordinal1(D)) ) )  => m1_subset_1(k9_nat_1(A, B, C, D), A)) ) ).
fof(redefinition_k9_nat_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, k4_ordinal1), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1), A)))) )  &  (m1_subset_1(C, A) & v7_ordinal1(D)) ) )  => k9_nat_1(A, B, C, D)=k1_binop_1(B, C, D)) ) ).
fof(dt_k10_nat_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A), A)))) )  &  (v7_ordinal1(C) & m1_subset_1(D, A)) ) )  => m1_subset_1(k10_nat_1(A, B, C, D), A)) ) ).
fof(redefinition_k10_nat_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_ordinal1, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A), A)))) )  &  (v7_ordinal1(C) & m1_subset_1(D, A)) ) )  => k10_nat_1(A, B, C, D)=k1_binop_1(B, C, D)) ) ).
fof(dt_f1_s19_nat_1, axiom,  ~ (v1_xboole_0(f1_s19_nat_1)) ).
fof(dt_f2_s19_nat_1, axiom,  ~ (v1_xboole_0(f2_s19_nat_1)) ).
fof(t54_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) => k1_ordinal1(k5_card_1(A))=a_1_0_nat_1(A)) ) ).
fof(fraenkel_a_1_0_nat_1, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_0_nat_1(B)) <=>  (? [C] :  (v7_ordinal1(C) &  (A=C & r1_xxreal_0(C, B)) ) ) ) ) ) ).
fof(rc1_nat_2, axiom,  (? [A] :  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) & v2_int_1(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_nat_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(k5_numbers, A) &  ( ~ (r1_xxreal_0(B, k5_numbers))  & r1_xxreal_0(B, k7_xcmplx_0(A, k2_xcmplx_0(k1_int_1(k7_xcmplx_0(A, B)), 1)))) ) ) ) ) ) ) ).
fof(t2_nat_2, axiom,  (! [A] :  (v7_ordinal1(A) => k3_nat_d(k5_numbers, A)=k5_numbers) ) ).
fof(t3_nat_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => k3_nat_d(A, A)=1) ) ).
fof(t4_nat_2, axiom,  (! [A] :  (v7_ordinal1(A) => k3_nat_d(A, 1)=A) ) ).
fof(t5_nat_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(A, B) &  (r1_xxreal_0(C, B) & A=k2_xcmplx_0(k7_nat_d(B, C), D)) )  => C=k2_xcmplx_0(k7_nat_d(B, A), D)) ) ) ) ) ) ) ) ) ).
fof(t6_nat_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(A, k2_finseq_1(B)) => r2_tarski(k1_nat_1(k7_nat_d(B, A), 1), k2_finseq_1(B))) ) ) ) ) ).
fof(t7_nat_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(A, B))  => k1_nat_1(k7_nat_d(A, k1_nat_1(B, 1)), 1)=k7_nat_d(A, B)) ) ) ) ) ).
fof(t8_nat_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(B, A) => k7_nat_d(B, A)=k5_numbers) ) ) ) ) ).
fof(t9_nat_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  ~ (r1_xxreal_0(A, k7_nat_d(A, B))) ) ) ) ) ).
fof(t10_nat_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(A, B) => k2_power(2, B)=k3_xcmplx_0(k2_power(2, A), k2_power(2, k7_nat_d(B, A)))) ) ) ) ) ).
fof(t11_nat_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(A, B) => r1_nat_d(k2_power(2, A), k2_power(2, B))) ) ) ) ) ).
fof(t12_nat_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  (k3_nat_d(B, A)=k5_numbers & r1_xxreal_0(A, B)) ) ) ) ) ) ) ).
fof(t13_nat_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(A, B) =>  (r1_xxreal_0(A, k5_numbers) | r1_xxreal_0(1, k3_nat_d(B, A))) ) ) ) ) ) ).
fof(t14_nat_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (A=k5_numbers)  => k3_nat_d(k2_xcmplx_0(B, A), A)=k1_nat_1(k3_nat_d(B, A), 1)) ) ) ) ) ).
fof(t15_nat_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_nat_d(B, C) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(1, A) & r1_xxreal_0(A, B)) ) )  => k3_nat_d(k7_nat_d(C, A), B)=k6_xcmplx_0(k3_nat_d(C, B), 1)) ) ) ) ) ) ) ).
fof(t16_nat_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(A, B) => k1_nat_d(k2_power(2, B), k2_power(2, A))=k2_power(2, k7_nat_d(B, A))) ) ) ) ) ).
fof(t17_nat_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k2_nat_d(k2_power(2, A), 2)=k5_numbers) ) ) ).
fof(t18_nat_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  =>  (k4_nat_d(A, 2)=k5_numbers <=> k4_nat_d(k7_nat_d(A, 1), 2)=1) ) ) ) ).
fof(t19_nat_2, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ~ ( ( ~ (A=1)  & r1_xxreal_0(A, 1)) ) ) ) ).
fof(t20_nat_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(B, A) =>  (r1_xxreal_0(k2_xcmplx_0(B, B), A) | k3_nat_d(A, B)=1) ) ) ) ) ) ).
fof(t21_nat_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_abian(A) <=> k4_nat_d(A, 2)=k5_numbers) ) ) ).
fof(t22_nat_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (v1_abian(A))  <=> k4_nat_d(A, 2)=1) ) ) ).
fof(t23_nat_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(A, B) & r1_nat_d(k3_xcmplx_0(2, C), A)) )  =>  (v1_abian(k3_nat_d(B, C)) <=> v1_abian(k3_nat_d(k7_nat_d(B, A), C))) ) ) ) ) ) ) ) ).
fof(t24_nat_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(C, B) => r1_xxreal_0(k3_nat_d(C, A), k3_nat_d(B, A))) ) ) ) ) ) ) ).
fof(t25_nat_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(A, k3_xcmplx_0(2, B)) => r1_xxreal_0(k3_nat_d(k1_nat_1(A, 1), 2), B)) ) ) ) ) ).
fof(t26_nat_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_abian(A) => k3_nat_d(A, 2)=k3_nat_d(k1_nat_1(A, 1), 2)) ) ) ).
fof(t27_nat_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k3_nat_d(k3_nat_d(C, B), A)=k3_nat_d(C, k3_xcmplx_0(B, A))) ) ) ) ) ) ).
fof(d1_nat_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_zfmisc_1(A) <=>  (A=k5_numbers | A=1) ) ) ) ).
fof(t28_nat_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (v1_zfmisc_1(A))  <=>  ( ~ (v1_xboole_0(A))  &  ~ (A=1) ) ) ) ) ).
fof(t29_nat_2, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  => r1_xxreal_0(2, A)) ) ).
fof(t30_nat_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k7_nat_d(k7_nat_d(A, B), C)=k7_nat_d(A, k2_xcmplx_0(B, C))) ) ) ) ) ) ).
fof(s1_nat_2, axiom,  ( (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(f3_s1_nat_2, A) |  (! [B] :  (m1_subset_1(B, f1_s1_nat_2) =>  (? [C] :  (m1_subset_1(C, f1_s1_nat_2) & p1_s1_nat_2(A, B, C)) ) ) ) ) ) ) )  =>  (? [A] :  (m2_finseq_1(A, f1_s1_nat_2) &  (k3_finseq_1(A)=f3_s1_nat_2 &  ( (k7_partfun1(f1_s1_nat_2, A, 1)=f2_s1_nat_2 | f3_s1_nat_2=k5_numbers)  &  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(1, B) =>  (r1_xxreal_0(f3_s1_nat_2, B) | p1_s1_nat_2(B, k7_partfun1(f1_s1_nat_2, A, B), k7_partfun1(f1_s1_nat_2, A, k1_nat_1(B, 1)))) ) ) ) ) ) ) ) ) ).
fof(s2_nat_2, axiom,  ( (p1_s2_nat_2(2) &  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  (p1_s2_nat_2(A) => p1_s2_nat_2(k1_nat_1(A, 1))) ) ) )  =>  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  => p1_s2_nat_2(A)) ) ) ).
fof(dt_f1_s1_nat_2, axiom,  ~ (v1_xboole_0(f1_s1_nat_2)) ).
fof(dt_f2_s1_nat_2, axiom, m1_subset_1(f2_s1_nat_2, f1_s1_nat_2)).
fof(dt_f3_s1_nat_2, axiom, v7_ordinal1(f3_s1_nat_2)).
fof(rc1_nat_3, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v4_valued_0(A) & v2_pre_poly(A)) ) ) ) ) ) ) ) ).
fof(fc1_nat_3, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  & v7_ordinal1(B))  =>  ~ (v8_ordinal1(k1_newton(A, B))) ) ) ).
fof(cc1_nat_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  & v1_int_2(A)) ) ) ) ).
fof(fc2_nat_3, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  & v7_ordinal1(B))  =>  (v1_relat_1(k1_nat_3(A, B)) &  (v1_funct_1(k1_nat_3(A, B)) &  (v1_finseq_1(k1_nat_3(A, B)) & v3_valued_0(k1_nat_3(A, B))) ) ) ) ) ).
fof(fc3_nat_3, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v4_valued_0(A)) ) )  & v7_ordinal1(B))  =>  (v1_relat_1(k1_nat_3(A, B)) &  (v1_funct_1(k1_nat_3(A, B)) &  (v1_finseq_1(k1_nat_3(A, B)) & v4_valued_0(k1_nat_3(A, B))) ) ) ) ) ).
fof(rc2_nat_3, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) ) ) ) ).
fof(fc4_nat_3, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v3_valued_0(B)) ) ) )  & v7_ordinal1(C))  =>  (v1_relat_1(k4_nat_3(A, B, C)) &  (v4_relat_1(k4_nat_3(A, B, C), A) &  (v1_funct_1(k4_nat_3(A, B, C)) &  (v1_partfun1(k4_nat_3(A, B, C), A) & v3_valued_0(k4_nat_3(A, B, C))) ) ) ) ) ) ).
fof(fc5_nat_3, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v4_valued_0(B)) ) ) )  & v7_ordinal1(C))  =>  (v1_relat_1(k4_nat_3(A, B, C)) &  (v4_relat_1(k4_nat_3(A, B, C), A) &  (v1_funct_1(k4_nat_3(A, B, C)) &  (v1_partfun1(k4_nat_3(A, B, C), A) & v4_valued_0(k4_nat_3(A, B, C))) ) ) ) ) ) ).
fof(fc6_nat_3, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v3_valued_0(B)) ) ) )  => v1_xboole_0(k13_pre_poly(k4_nat_3(A, B, k5_numbers)))) ) ).
fof(fc7_nat_3, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v3_valued_0(B) & v2_pre_poly(B)) ) ) ) )  & v7_ordinal1(C))  =>  (v1_relat_1(k4_nat_3(A, B, C)) &  (v4_relat_1(k4_nat_3(A, B, C), A) &  (v1_funct_1(k4_nat_3(A, B, C)) &  (v1_partfun1(k4_nat_3(A, B, C), A) & v2_pre_poly(k4_nat_3(A, B, C))) ) ) ) ) ) ).
fof(fc8_nat_3, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v3_valued_0(B)) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v3_valued_0(C)) ) ) ) )  =>  (v1_relat_1(k5_nat_3(A, B, C)) &  (v4_relat_1(k5_nat_3(A, B, C), A) &  (v1_funct_1(k5_nat_3(A, B, C)) &  (v1_partfun1(k5_nat_3(A, B, C), A) & v3_valued_0(k5_nat_3(A, B, C))) ) ) ) ) ) ).
fof(fc9_nat_3, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v4_valued_0(B)) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v4_valued_0(C)) ) ) ) )  =>  (v1_relat_1(k5_nat_3(A, B, C)) &  (v4_relat_1(k5_nat_3(A, B, C), A) &  (v1_funct_1(k5_nat_3(A, B, C)) &  (v1_partfun1(k5_nat_3(A, B, C), A) & v4_valued_0(k5_nat_3(A, B, C))) ) ) ) ) ) ).
fof(fc10_nat_3, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v3_valued_0(B) & v2_pre_poly(B)) ) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v3_valued_0(C) & v2_pre_poly(C)) ) ) ) ) )  =>  (v1_relat_1(k5_nat_3(A, B, C)) &  (v4_relat_1(k5_nat_3(A, B, C), A) &  (v1_funct_1(k5_nat_3(A, B, C)) &  (v1_partfun1(k5_nat_3(A, B, C), A) & v2_pre_poly(k5_nat_3(A, B, C))) ) ) ) ) ) ).
fof(fc11_nat_3, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v3_valued_0(B)) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v3_valued_0(C)) ) ) ) )  =>  (v1_relat_1(k6_nat_3(A, B, C)) &  (v4_relat_1(k6_nat_3(A, B, C), A) &  (v1_funct_1(k6_nat_3(A, B, C)) &  (v1_partfun1(k6_nat_3(A, B, C), A) & v3_valued_0(k6_nat_3(A, B, C))) ) ) ) ) ) ).
fof(fc12_nat_3, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v4_valued_0(B)) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v4_valued_0(C)) ) ) ) )  =>  (v1_relat_1(k6_nat_3(A, B, C)) &  (v4_relat_1(k6_nat_3(A, B, C), A) &  (v1_funct_1(k6_nat_3(A, B, C)) &  (v1_partfun1(k6_nat_3(A, B, C), A) & v4_valued_0(k6_nat_3(A, B, C))) ) ) ) ) ) ).
fof(fc13_nat_3, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v3_valued_0(B) & v2_pre_poly(B)) ) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v3_valued_0(C) & v2_pre_poly(C)) ) ) ) ) )  =>  (v1_relat_1(k6_nat_3(A, B, C)) &  (v4_relat_1(k6_nat_3(A, B, C), A) &  (v1_funct_1(k6_nat_3(A, B, C)) &  (v1_partfun1(k6_nat_3(A, B, C), A) & v2_pre_poly(k6_nat_3(A, B, C))) ) ) ) ) ) ).
fof(rc3_nat_3, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_valued_0(B) & v2_pre_poly(B)) ) ) ) ) ) ) ).
fof(fc14_nat_3, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v4_valued_0(B)) ) ) )  &  (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) ) )  =>  (v1_relat_1(k9_nat_3(A, B, C)) &  (v4_relat_1(k9_nat_3(A, B, C), A) &  (v1_funct_1(k9_nat_3(A, B, C)) &  (v1_partfun1(k9_nat_3(A, B, C), A) & v4_valued_0(k9_nat_3(A, B, C))) ) ) ) ) ) ).
fof(fc15_nat_3, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v3_valued_0(B) & v2_pre_poly(B)) ) ) ) )  &  (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) ) )  =>  (v1_relat_1(k9_nat_3(A, B, C)) &  (v4_relat_1(k9_nat_3(A, B, C), A) &  (v1_funct_1(k9_nat_3(A, B, C)) &  (v1_partfun1(k9_nat_3(A, B, C), A) & v2_pre_poly(k9_nat_3(A, B, C))) ) ) ) ) ) ).
fof(fc16_nat_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_relat_1(k12_nat_3(A)) &  (v4_relat_1(k12_nat_3(A), k8_newton) &  (v1_funct_1(k12_nat_3(A)) &  (v1_partfun1(k12_nat_3(A), k8_newton) & v4_valued_0(k12_nat_3(A))) ) ) ) ) ) ).
fof(fc17_nat_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (v1_relat_1(k12_nat_3(A)) &  (v4_relat_1(k12_nat_3(A), k8_newton) &  (v1_funct_1(k12_nat_3(A)) &  (v1_partfun1(k12_nat_3(A), k8_newton) & v2_pre_poly(k12_nat_3(A))) ) ) ) ) ) ).
fof(fc18_nat_3, axiom, v1_xboole_0(k13_pre_poly(k12_nat_3(1)))).
fof(fc19_nat_3, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => v3_card_1(k13_pre_poly(k12_nat_3(k1_newton(A, B))), 1)) ) ).
fof(fc20_nat_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  => v3_card_1(k13_pre_poly(k12_nat_3(A)), 1)) ) ).
fof(fc21_nat_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (v1_relat_1(k13_nat_3(A)) &  (v4_relat_1(k13_nat_3(A), k8_newton) &  (v1_funct_1(k13_nat_3(A)) &  (v1_partfun1(k13_nat_3(A), k8_newton) &  (v4_valued_0(k13_nat_3(A)) & v2_pre_poly(k13_nat_3(A))) ) ) ) ) ) ) ).
fof(t1_nat_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_nat_d(A, C) & r1_nat_d(B, D))  => r1_nat_d(k3_xcmplx_0(A, B), k3_xcmplx_0(C, D))) ) ) ) ) ) ) ) ) ).
fof(t2_nat_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(A, 1))  => r1_xxreal_0(B, k1_newton(A, B))) ) ) ) ) ).
fof(t3_nat_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (A=k5_numbers)  => r1_nat_d(B, k1_newton(B, A))) ) ) ) ) ).
fof(t4_nat_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_nat_d(k1_newton(C, B), D) =>  (r1_xxreal_0(B, A) | r1_nat_d(k1_newton(C, k2_xcmplx_0(A, 1)), D)) ) ) ) ) ) ) ) ) ) ).
fof(t5_nat_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v7_ordinal1(C) & v1_int_2(C))  =>  (r1_nat_d(C, k1_newton(A, B)) => r1_nat_d(C, A)) ) ) ) ) ) ) ).
fof(t6_nat_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (! [C] :  ( (v7_ordinal1(C) & v1_int_2(C))  =>  (r1_nat_d(C, k1_newton(B, A)) => C=B) ) ) ) ) ) ) ).
fof(t7_nat_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (r2_tarski(A, k1_rvsum_1(B)) => r1_nat_d(A, k2_wsierp_1(B))) ) ) ) ) ).
fof(t8_nat_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_trees_4(B, k4_ordinal1, k8_newton) =>  (r1_nat_d(A, k2_wsierp_1(B)) => r2_tarski(A, k1_rvsum_1(B))) ) ) ) ) ).
fof(d1_nat_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (C=k1_nat_3(A, B) <=>  (k3_finseq_1(C)=k3_finseq_1(A) &  (! [D] :  (r2_tarski(D, k4_finseq_1(C)) => k1_funct_1(C, D)=k1_newton(k1_funct_1(A, D), B)) ) ) ) ) ) ) ) ) ) ).
fof(t9_nat_3, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) => k2_nat_3(A, k5_numbers)=k5_finseq_2(k4_ordinal1, k3_finseq_1(A), 1)) ) ).
fof(t10_nat_3, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) => k2_nat_3(A, 1)=A) ) ).
fof(t11_nat_3, axiom,  (! [A] :  (v7_ordinal1(A) => k2_nat_3(k2_pre_poly(k1_numbers), A)=k2_pre_poly(k1_numbers)) ) ).
fof(t12_nat_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) => k1_nat_3(k9_finseq_1(B), A)=k9_finseq_1(k1_newton(B, A))) ) ) ) ).
fof(t13_nat_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) => k1_nat_3(k7_finseq_1(C, k9_finseq_1(B)), A)=k7_finseq_1(k2_nat_3(C, A), k1_nat_3(k9_finseq_1(B), A))) ) ) ) ) ) ).
fof(t14_nat_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) => k21_rvsum_1(k2_nat_3(B, k2_xcmplx_0(A, 1)))=k3_xcmplx_0(k21_rvsum_1(k2_nat_3(B, A)), k21_rvsum_1(B))) ) ) ) ).
fof(t15_nat_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) => k21_rvsum_1(k2_nat_3(B, A))=k1_newton(k21_rvsum_1(B), A)) ) ) ) ).
fof(d2_nat_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v3_valued_0(B)) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (D=k4_nat_3(A, B, C) <=>  (! [E] : k1_funct_1(D, E)=k3_xcmplx_0(C, k1_funct_1(B, E))) ) ) ) ) ) ) ) ) ).
fof(t16_nat_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v1_funct_1(C) &  (v1_partfun1(C, B) & v3_valued_0(C)) ) ) )  =>  ( ~ (A=k5_numbers)  => k13_pre_poly(C)=k13_pre_poly(k4_nat_3(B, C, A))) ) ) ) ) ) ).
fof(d3_nat_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v3_valued_0(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v3_valued_0(C)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (D=k5_nat_3(A, B, C) <=>  (! [E] :  ( (r1_xxreal_0(k1_funct_1(B, E), k1_funct_1(C, E)) => k1_funct_1(D, E)=k1_funct_1(B, E))  &  ( ~ (r1_xxreal_0(k1_funct_1(B, E), k1_funct_1(C, E)))  => k1_funct_1(D, E)=k1_funct_1(C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_nat_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v3_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v3_valued_0(C) & v2_pre_poly(C)) ) ) ) )  => r1_tarski(k13_pre_poly(k5_nat_3(A, B, C)), k2_xboole_0(k13_pre_poly(B), k13_pre_poly(C)))) ) ) ) ) ).
fof(d4_nat_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v3_valued_0(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v3_valued_0(C)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (D=k6_nat_3(A, B, C) <=>  (! [E] :  ( (r1_xxreal_0(k1_funct_1(B, E), k1_funct_1(C, E)) => k1_funct_1(D, E)=k1_funct_1(C, E))  &  ( ~ (r1_xxreal_0(k1_funct_1(B, E), k1_funct_1(C, E)))  => k1_funct_1(D, E)=k1_funct_1(B, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_nat_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v3_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v3_valued_0(C) & v2_pre_poly(C)) ) ) ) )  => r1_tarski(k13_pre_poly(k6_nat_3(A, B, C)), k2_xboole_0(k13_pre_poly(B), k13_pre_poly(C)))) ) ) ) ) ).
fof(d5_nat_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  (v1_xcmplx_0(C) =>  (C=k7_nat_3(A, B) <=>  (? [D] :  (m2_finseq_1(D, k2_numbers) &  (C=k20_rvsum_1(D) & D=k3_relat_1(k20_finseq_1(k13_pre_poly(B)), B)) ) ) ) ) ) ) ) ) ).
fof(t19_nat_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (r1_xboole_0(k22_pre_poly(A, B), k22_pre_poly(A, C)) => k8_nat_3(A, k11_pre_poly(A, B, C))=k3_xcmplx_0(k8_nat_3(A, B), k8_nat_3(A, C))) ) ) ) ) ) ).
fof(d6_nat_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v3_valued_0(B)) ) ) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (D=k9_nat_3(A, B, C) <=>  (k13_pre_poly(D)=k13_pre_poly(B) &  (! [E] : k1_funct_1(D, E)=k1_newton(k1_funct_1(B, E), C)) ) ) ) ) ) ) ) ) ) ).
fof(t20_nat_3, axiom,  (! [A] : k8_nat_3(A, k16_pre_poly(A))=1) ).
fof(d7_nat_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (B=1)  &  ( ~ (A=k5_numbers)  &  ~ ( (! [C] :  (v7_ordinal1(C) =>  (C=k10_nat_3(A, B) <=>  (r1_nat_d(k1_newton(B, C), A) &  ~ (r1_nat_d(k1_newton(B, k2_xcmplx_0(C, 1)), A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_nat_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (A=1)  => k11_nat_3(1, A)=k5_numbers) ) ) ).
fof(t22_nat_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, 1))  => k11_nat_3(A, A)=1) ) ) ).
fof(t23_nat_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (B=k5_numbers)  &  ( ~ (r1_xxreal_0(A, B))  &  ( ~ (A=1)  &  ~ (k11_nat_3(B, A)=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(t24_nat_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  ~ ( ( ~ (A=1)  &  ( ~ (A=B)  &  ~ (k11_nat_3(B, A)=k5_numbers) ) ) ) ) ) ) ) ).
fof(t25_nat_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(B, 1))  => k11_nat_3(k1_newton(B, A), B)=A) ) ) ) ) ).
fof(t26_nat_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_nat_d(B, k1_newton(B, k11_nat_3(A, B))) =>  (B=1 |  (A=k5_numbers | r1_nat_d(B, A)) ) ) ) ) ) ) ).
fof(t27_nat_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (B=1)  =>  ( ( ~ (A=k5_numbers)  & k11_nat_3(A, B)=k5_numbers)  <=>  ~ (r1_nat_d(B, A)) ) ) ) ) ) ) ).
fof(t28_nat_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  => k11_nat_3(k3_xcmplx_0(B, C), A)=k2_xcmplx_0(k11_nat_3(B, A), k11_nat_3(C, A))) ) ) ) ) ) ).
fof(t29_nat_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  => k1_newton(A, k11_nat_3(k3_xcmplx_0(B, C), A))=k3_xcmplx_0(k1_newton(A, k11_nat_3(B, A)), k1_newton(A, k11_nat_3(C, A)))) ) ) ) ) ) ).
fof(t30_nat_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (r1_nat_d(C, B) => r1_xxreal_0(k11_nat_3(C, A), k11_nat_3(B, A))) ) ) ) ) ) ) ).
fof(t31_nat_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (r1_nat_d(C, B) => k11_nat_3(k3_nat_d(B, C), A)=k7_nat_d(k11_nat_3(B, A), k11_nat_3(C, A))) ) ) ) ) ) ) ).
fof(t32_nat_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  => k11_nat_3(k1_newton(C, A), B)=k3_xcmplx_0(A, k11_nat_3(C, B))) ) ) ) ) ) ).
fof(d8_nat_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k8_newton) &  (v1_funct_1(B) & v1_partfun1(B, k8_newton)) ) )  =>  (B=k12_nat_3(A) <=>  (! [C] :  ( (v7_ordinal1(C) & v1_int_2(C))  => k1_funct_1(B, C)=k11_nat_3(A, C)) ) ) ) ) ) ) ).
fof(t33_nat_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (r2_tarski(B, k9_xtuple_0(k12_nat_3(A))) =>  (v7_ordinal1(B) & v1_int_2(B)) ) ) ) ) ).
fof(t34_nat_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (r2_tarski(B, k13_pre_poly(k12_nat_3(A))) =>  (v7_ordinal1(B) & v1_int_2(B)) ) ) ) ) ).
fof(t35_nat_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (B=k5_numbers)  &  ~ (k1_funct_1(k12_nat_3(B), A)=k5_numbers) ) ) ) ) ) ) ) ).
fof(t36_nat_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(A, k13_pre_poly(k12_nat_3(B))) => r1_nat_d(A, B)) ) ) ) ) ).
fof(t37_nat_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ( (v7_ordinal1(A) & v1_int_2(A))  & r1_nat_d(A, B))  =>  (v1_xboole_0(B) | r2_tarski(A, k13_pre_poly(k12_nat_3(B)))) ) ) ) ) ) ).
fof(t38_nat_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  ~ ( (r1_nat_d(A, B) & k1_funct_1(k12_nat_3(B), A)=k5_numbers) ) ) ) ) ) ).
fof(t39_nat_3, axiom, r8_pboole(k8_newton, k12_nat_3(1), k16_pre_poly(k8_newton))).
fof(t40_nat_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  => k1_funct_1(k12_nat_3(k1_newton(B, A)), B)=A) ) ) ) ).
fof(t41_nat_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  => k1_funct_1(k12_nat_3(A), A)=1) ) ).
fof(t42_nat_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  ( ~ (A=k5_numbers)  => k22_pre_poly(k8_newton, k12_nat_3(k1_newton(B, A)))=k1_tarski(B)) ) ) ) ) ).
fof(t43_nat_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  => k22_pre_poly(k8_newton, k12_nat_3(A))=k1_tarski(A)) ) ).
fof(t44_nat_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (r1_int_2(A, B) => r1_xboole_0(k22_pre_poly(k8_newton, k12_nat_3(A)), k22_pre_poly(k8_newton, k12_nat_3(B)))) ) ) ) ) ).
fof(t45_nat_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  => r1_tarski(k22_pre_poly(k8_newton, k12_nat_3(A)), k22_pre_poly(k8_newton, k12_nat_3(k3_xcmplx_0(A, B))))) ) ) ) ).
fof(t46_nat_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  => k22_pre_poly(k8_newton, k12_nat_3(k3_xcmplx_0(A, B)))=k4_subset_1(k8_newton, k22_pre_poly(k8_newton, k12_nat_3(A)), k22_pre_poly(k8_newton, k12_nat_3(B)))) ) ) ) ).
fof(t47_nat_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (r1_int_2(A, B) => k4_card_1(k22_pre_poly(k8_newton, k12_nat_3(k3_xcmplx_0(A, B))))=k2_xcmplx_0(k4_card_1(k22_pre_poly(k8_newton, k12_nat_3(A))), k4_card_1(k22_pre_poly(k8_newton, k12_nat_3(B))))) ) ) ) ) ).
fof(t48_nat_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  => k22_pre_poly(k8_newton, k12_nat_3(A))=k22_pre_poly(k8_newton, k12_nat_3(k1_newton(A, B)))) ) ) ) ).
fof(t49_nat_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  => r8_pboole(k8_newton, k12_nat_3(k3_xcmplx_0(A, B)), k11_pre_poly(k8_newton, k12_nat_3(A), k12_nat_3(B)))) ) ) ) ).
fof(t50_nat_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (r1_nat_d(B, A) => r8_pboole(k8_newton, k12_nat_3(k3_nat_d(A, B)), k12_pre_poly(k8_newton, k12_nat_3(A), k12_nat_3(B)))) ) ) ) ) ).
fof(t51_nat_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  => r8_pboole(k8_newton, k12_nat_3(k1_newton(B, A)), k4_nat_3(k8_newton, k12_nat_3(B), A))) ) ) ) ).
fof(t52_nat_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (k22_pre_poly(k8_newton, k12_nat_3(A))=k1_xboole_0 => A=1) ) ) ).
fof(t53_nat_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  => r8_pboole(k8_newton, k12_nat_3(k3_int_2(B, A)), k5_nat_3(k8_newton, k12_nat_3(B), k12_nat_3(A)))) ) ) ) ).
fof(t54_nat_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  => r8_pboole(k8_newton, k12_nat_3(k2_int_2(B, A)), k6_nat_3(k8_newton, k12_nat_3(B), k12_nat_3(A)))) ) ) ) ).
fof(d9_nat_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k8_newton) &  (v1_funct_1(B) & v1_partfun1(B, k8_newton)) ) )  =>  (B=k13_nat_3(A) <=>  (k13_pre_poly(B)=k22_pre_poly(k8_newton, k12_nat_3(A)) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k22_pre_poly(k8_newton, k12_nat_3(A))) => k1_funct_1(B, C)=k1_newton(C, k11_nat_3(A, C))) ) ) ) ) ) ) ) ) ).
fof(t55_nat_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (k11_nat_3(B, A)=k5_numbers => k1_funct_1(k13_nat_3(B), A)=k5_numbers) ) ) ) ) ).
fof(t56_nat_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  ( ~ (k11_nat_3(B, A)=k5_numbers)  => k1_funct_1(k13_nat_3(B), A)=k1_newton(A, k11_nat_3(B, A))) ) ) ) ) ).
fof(t57_nat_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (k22_pre_poly(k8_newton, k13_nat_3(A))=k1_xboole_0 => A=1) ) ) ).
fof(t58_nat_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (r1_int_2(A, B) => r8_pboole(k8_newton, k13_nat_3(k3_xcmplx_0(A, B)), k11_pre_poly(k8_newton, k13_nat_3(A), k13_nat_3(B)))) ) ) ) ) ).
fof(t59_nat_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  => k1_funct_1(k13_nat_3(k1_newton(A, B)), A)=k1_newton(A, B)) ) ) ) ).
fof(t60_nat_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  => r8_pboole(k8_newton, k13_nat_3(k1_newton(A, B)), k9_nat_3(k8_newton, k13_nat_3(A), B))) ) ) ) ).
fof(t61_nat_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => k8_nat_3(k8_newton, k13_nat_3(A))=A) ) ).
fof(dt_k1_nat_3, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  & v7_ordinal1(B))  =>  (v1_relat_1(k1_nat_3(A, B)) &  (v1_funct_1(k1_nat_3(A, B)) & v1_finseq_1(k1_nat_3(A, B))) ) ) ) ).
fof(dt_k2_nat_3, axiom,  (! [A, B] :  ( (m1_finseq_1(A, k1_numbers) & v7_ordinal1(B))  => m2_finseq_1(k2_nat_3(A, B), k1_numbers)) ) ).
fof(redefinition_k2_nat_3, axiom,  (! [A, B] :  ( (m1_finseq_1(A, k1_numbers) & v7_ordinal1(B))  => k2_nat_3(A, B)=k1_nat_3(A, B)) ) ).
fof(dt_k3_nat_3, axiom,  (! [A, B] :  ( (m1_finseq_1(A, k4_ordinal1) & v7_ordinal1(B))  => m2_finseq_1(k3_nat_3(A, B), k4_ordinal1)) ) ).
fof(redefinition_k3_nat_3, axiom,  (! [A, B] :  ( (m1_finseq_1(A, k4_ordinal1) & v7_ordinal1(B))  => k3_nat_3(A, B)=k1_nat_3(A, B)) ) ).
fof(dt_k4_nat_3, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v3_valued_0(B)) ) ) )  & v7_ordinal1(C))  =>  (v1_relat_1(k4_nat_3(A, B, C)) &  (v4_relat_1(k4_nat_3(A, B, C), A) &  (v1_funct_1(k4_nat_3(A, B, C)) & v1_partfun1(k4_nat_3(A, B, C), A)) ) ) ) ) ).
fof(dt_k5_nat_3, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v3_valued_0(B)) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v3_valued_0(C)) ) ) ) )  =>  (v1_relat_1(k5_nat_3(A, B, C)) &  (v4_relat_1(k5_nat_3(A, B, C), A) &  (v1_funct_1(k5_nat_3(A, B, C)) & v1_partfun1(k5_nat_3(A, B, C), A)) ) ) ) ) ).
fof(dt_k6_nat_3, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v3_valued_0(B)) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v3_valued_0(C)) ) ) ) )  =>  (v1_relat_1(k6_nat_3(A, B, C)) &  (v4_relat_1(k6_nat_3(A, B, C), A) &  (v1_funct_1(k6_nat_3(A, B, C)) & v1_partfun1(k6_nat_3(A, B, C), A)) ) ) ) ) ).
fof(dt_k7_nat_3, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_valued_0(B) & v2_pre_poly(B)) ) ) ) )  => v1_xcmplx_0(k7_nat_3(A, B))) ) ).
fof(dt_k8_nat_3, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  => m1_subset_1(k8_nat_3(A, B), k4_ordinal1)) ) ).
fof(redefinition_k8_nat_3, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  => k8_nat_3(A, B)=k7_nat_3(A, B)) ) ).
fof(dt_k9_nat_3, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v3_valued_0(B)) ) ) )  &  (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) ) )  =>  (v1_relat_1(k9_nat_3(A, B, C)) &  (v4_relat_1(k9_nat_3(A, B, C), A) &  (v1_funct_1(k9_nat_3(A, B, C)) & v1_partfun1(k9_nat_3(A, B, C), A)) ) ) ) ) ).
fof(dt_k10_nat_3, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k10_nat_3(A, B))) ) ).
fof(dt_k11_nat_3, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => m1_subset_1(k11_nat_3(A, B), k4_ordinal1)) ) ).
fof(redefinition_k11_nat_3, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => k11_nat_3(A, B)=k10_nat_3(A, B)) ) ).
fof(dt_k12_nat_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_relat_1(k12_nat_3(A)) &  (v4_relat_1(k12_nat_3(A), k8_newton) &  (v1_funct_1(k12_nat_3(A)) & v1_partfun1(k12_nat_3(A), k8_newton)) ) ) ) ) ).
fof(dt_k13_nat_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (v1_relat_1(k13_nat_3(A)) &  (v4_relat_1(k13_nat_3(A), k8_newton) &  (v1_funct_1(k13_nat_3(A)) & v1_partfun1(k13_nat_3(A), k8_newton)) ) ) ) ) ).
fof(t1_nat_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(k5_numbers, A) &  ( ~ (r1_xxreal_0(k3_xcmplx_0(A, A), k3_xcmplx_0(B, B)))  & r1_xxreal_0(A, B)) ) ) ) ) ) ) ).
fof(t2_nat_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, 1))  &  (r1_xxreal_0(k3_xcmplx_0(A, A), B) & r1_xxreal_0(B, A)) ) ) ) ) ) ) ).
fof(t3_nat_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(A, 1))  & r1_xxreal_0(k1_newton(A, B), B)) ) ) ) ) ) ).
fof(t4_nat_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(B, A) & C=k1_int_1(k7_xcmplx_0(A, 2)))  => r1_xxreal_0(k4_newton(B, A), k4_newton(C, A))) ) ) ) ) ) ) ).
fof(t5_nat_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (B=k1_int_1(k7_xcmplx_0(A, 2)) & r1_xxreal_0(2, A))  => r1_xxreal_0(k7_xcmplx_0(k1_newton(2, A), A), k4_newton(B, A))) ) ) ) ) ).
fof(t6_nat_4, axiom,  (! [A] :  (v7_ordinal1(A) => r1_xxreal_0(k7_xcmplx_0(k1_newton(4, A), k3_xcmplx_0(2, A)), k4_newton(A, k3_xcmplx_0(2, A)))) ) ).
fof(t7_nat_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_nat_d(A, B) =>  (r1_xxreal_0(B, k5_numbers) |  (A=1 |  (A=B |  ( ~ (r1_xxreal_0(A, 1))  &  ~ (r1_xxreal_0(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(t8_nat_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( (? [B] :  (m1_subset_1(B, k4_ordinal1) &  (r1_nat_d(B, A) &  ( ~ (r1_xxreal_0(B, 1))  &  ~ (r1_xxreal_0(A, B)) ) ) ) )  &  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ~ ( (r1_nat_d(B, A) &  ( ~ (r1_xxreal_0(B, 1))  & r1_xxreal_0(k2_nat_1(B, B), A)) ) ) ) ) ) ) ) ) ).
fof(t9_nat_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (A=k2_xcmplx_0(k3_xcmplx_0(B, C), D) &  ( ~ (r1_xxreal_0(B, D))  &  ( ~ (r1_xxreal_0(D, k5_numbers))  & r1_nat_d(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_nat_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (k6_nat_d(B, C)=1 =>  (B=k5_numbers |  (C=k5_numbers | k6_nat_d(k1_newton(B, A), C)=1) ) ) ) ) ) ) ) ) ).
fof(t11_nat_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k4_nat_d(k1_newton(A, k3_xcmplx_0(2, B)), C)=k4_nat_d(k2_nat_1(k4_nat_d(k1_newton(A, B), C), k4_nat_d(k1_newton(A, B), C)), C)) ) ) ) ) ) ).
fof(t12_nat_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ ( ( ~ (v1_int_2(A))  &  ( ~ (r1_xxreal_0(A, 1))  &  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ~ ( (r1_nat_d(B, A) &  ( ~ (r1_xxreal_0(B, 1))  &  ~ (r1_xxreal_0(A, B)) ) ) ) ) ) ) ) )  &  ~ ( ( ~ ( ( ~ (r1_xxreal_0(A, 1))  &  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ~ ( (r1_nat_d(B, A) &  ( ~ (r1_xxreal_0(B, 1))  &  ~ (r1_xxreal_0(A, B)) ) ) ) ) ) ) )  & v1_int_2(A)) ) ) ) ) ).
fof(t13_nat_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_nat_d(A, B) &  ( ~ (r1_xxreal_0(A, 1))  &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ ( (r1_nat_d(C, B) &  (r1_xxreal_0(C, A) & v1_int_2(C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_nat_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_int_2(A) <=>  ( ~ (r1_xxreal_0(A, 1))  &  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ~ ( ( ~ (r1_xxreal_0(B, 1))  &  (r1_xxreal_0(k2_nat_1(B, B), A) &  (v1_int_2(B) & r1_nat_d(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(t15_nat_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (k4_nat_d(k1_newton(A, C), B)=1 &  (r1_xxreal_0(1, C) & v1_int_2(B)) )  => r1_int_2(A, B)) ) ) ) ) ) ) ).
fof(t16_nat_4, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ~ ( ( ~ (B=k5_numbers)  &  (C=k1_newton(A, k11_nat_3(B, A)) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ~ ( (D=C &  (r1_xxreal_0(1, D) & r1_xxreal_0(D, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_nat_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (v1_int_2(B) & r1_nat_d(D, k2_nat_1(A, k11_newton(B, k1_nat_1(C, 1)))))  =>  (r1_nat_d(D, k2_nat_1(A, k11_newton(B, C))) | r1_nat_d(k11_newton(B, k1_nat_1(C, 1)), D)) ) ) ) ) ) ) ) ) ) ).
fof(t18_nat_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (r1_nat_d(A, k11_newton(B, C)) &  (v1_int_2(B) & v1_int_2(A)) )  => B=A) ) ) ) ) ) ) ).
fof(t19_nat_4, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  & r1_nat_d(A, k7_newton(B))) ) ) ) ) ) ).
fof(t20_nat_4, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  ~ ( ( (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (v1_int_2(C) => r1_xxreal_0(k11_nat_3(A, C), k11_nat_3(B, C))) ) )  &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ (B=k3_xcmplx_0(A, C)) ) ) ) ) ) ) ) ) ).
fof(t21_nat_4, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  ( (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (v1_int_2(C) => k11_nat_3(A, C)=k11_nat_3(B, C)) ) )  => A=B) ) ) ) ) ).
fof(t22_nat_4, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & m1_subset_1(C, k4_ordinal1))  =>  (k1_newton(A, k11_nat_3(C, A))=k1_newton(B, k11_nat_3(C, B)) =>  (r1_xxreal_0(k11_nat_3(C, A), k5_numbers) | A=B) ) ) ) ) ) ) ) ).
fof(t23_nat_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  ~ ( (k6_xcmplx_0(A, 1)=k2_nat_1(B, k11_newton(C, E)) &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  ( ~ (r1_xxreal_0(E, k5_numbers))  &  (v1_int_2(C) &  (k4_nat_d(k11_newton(G, k7_nat_d(A, 1)), A)=1 &  (v1_int_2(F) &  (r1_nat_d(F, A) &  ( ~ (r1_nat_d(F, k7_nat_d(k11_newton(G, k3_nat_d(k7_nat_d(A, 1), C)), 1)))  &  ~ (k4_nat_d(F, k11_newton(C, E))=1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_nat_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (k6_xcmplx_0(A, 1)=k2_nat_1(B, C) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ~ ( (r1_nat_d(D, B) &  (v1_int_2(D) &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ~ ( (k4_nat_d(k11_newton(E, k7_nat_d(A, 1)), A)=1 & k6_nat_d(k7_nat_d(k11_newton(E, k3_nat_d(k7_nat_d(A, 1), D)), 1), A)=1) ) ) ) ) ) ) ) ) )  =>  (r1_xxreal_0(B, C) |  (r1_xxreal_0(C, k5_numbers) | v1_int_2(A)) ) ) ) ) ) ) ) ) ).
fof(t25_nat_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  ( (k6_xcmplx_0(A, 1)=k2_nat_1(k11_newton(F, D), C) &  (v1_int_2(F) &  (k4_nat_d(k11_newton(E, k7_nat_d(A, 1)), A)=1 & k6_nat_d(k7_nat_d(k11_newton(E, k3_nat_d(k7_nat_d(A, 1), F)), 1), A)=1) ) )  =>  (r1_xxreal_0(k11_newton(F, D), C) |  (r1_xxreal_0(C, k5_numbers) | v1_int_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_nat_4, axiom, v1_int_2(7)).
fof(t27_nat_4, axiom, v1_int_2(11)).
fof(t28_nat_4, axiom, v1_int_2(13)).
fof(t29_nat_4, axiom, v1_int_2(19)).
fof(t30_nat_4, axiom, v1_int_2(23)).
fof(t31_nat_4, axiom, v1_int_2(37)).
fof(t32_nat_4, axiom, v1_int_2(43)).
fof(t33_nat_4, axiom, v1_int_2(83)).
fof(t34_nat_4, axiom, v1_int_2(139)).
fof(t35_nat_4, axiom, v1_int_2(163)).
fof(t36_nat_4, axiom, v1_int_2(317)).
fof(t37_nat_4, axiom, v1_int_2(631)).
fof(t38_nat_4, axiom, v1_int_2(1259)).
fof(t39_nat_4, axiom, v1_int_2(2503)).
fof(t40_nat_4, axiom, v1_int_2(4001)).
fof(t42_nat_4, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  ~ ( ( (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ~ ( (r2_tarski(B, k4_finseq_1(A)) & r1_xxreal_0(k1_funct_1(A, B), k5_numbers)) ) ) )  & r1_xxreal_0(k21_rvsum_1(A), k5_numbers)) ) ) ) ).
fof(t43_nat_4, axiom,  (! [A] :  (! [B] :  (v1_finset_1(B) =>  ( (r1_tarski(A, B) & r1_tarski(B, k4_ordinal1))  =>  (r2_tarski(k1_xboole_0, B) | r1_xxreal_0(k2_wsierp_1(k14_finseq_1(A)), k2_wsierp_1(k14_finseq_1(B)))) ) ) ) ) ).
fof(t44_nat_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (! [D] :  (m1_trees_4(D, k4_ordinal1, k8_newton) =>  (! [E] :  ( (v7_ordinal1(E) & v1_int_2(E))  =>  ( (r1_tarski(C, k8_newton) &  (r1_tarski(C, k2_finseq_1(B)) &  (D=k14_finseq_1(C) & A=k2_wsierp_1(D)) ) )  =>  ( (r2_tarski(E, k1_rvsum_1(D)) => k11_nat_3(A, E)=1)  &  ( ~ (r2_tarski(E, k1_rvsum_1(D)))  => k11_nat_3(A, E)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_nat_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  ~ ( ( ~ (A=k5_numbers)  &  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  ~ ( (k3_finseq_1(C)=A &  ( (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r2_tarski(D, k4_finseq_1(C)) =>  ( (k1_recdef_1(C, D)=1 => r1_nat_d(k1_newton(B, D), A))  &  ( (r1_nat_d(k1_newton(B, D), A) => k1_recdef_1(C, D)=1)  &  ( ~ ( (k1_recdef_1(C, D)=k5_numbers & r1_nat_d(k1_newton(B, D), A)) )  &  ( ~ (r1_nat_d(k1_newton(B, D), A))  => k1_recdef_1(C, D)=k5_numbers) ) ) ) ) ) )  & k11_nat_3(A, B)=k1_wsierp_1(C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_nat_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (? [C] :  (m2_finseq_1(C, k4_ordinal1) &  (k3_finseq_1(C)=A &  ( (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r2_tarski(D, k4_finseq_1(C)) => k1_recdef_1(C, D)=k1_int_1(k7_xcmplx_0(A, k1_newton(B, D)))) ) )  & k11_nat_3(k7_newton(A), B)=k1_wsierp_1(C)) ) ) ) ) ) ) ) ).
fof(t49_nat_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (? [C] :  (m2_finseq_1(C, k1_numbers) &  (k3_finseq_1(C)=k2_nat_1(2, A) &  ( (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r2_tarski(D, k4_finseq_1(C)) => k1_funct_1(C, D)=k6_xcmplx_0(k1_int_1(k7_xcmplx_0(k2_nat_1(2, A), k1_newton(B, D))), k3_xcmplx_0(2, k1_int_1(k7_xcmplx_0(A, k1_newton(B, D)))))) ) )  & k11_nat_3(k4_newton(A, k2_nat_1(2, A)), B)=k18_rvsum_1(C)) ) ) ) ) ) ) ) ).
fof(d1_nat_4, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (C=k1_nat_4(A, B) <=>  (k3_finseq_1(C)=k3_finseq_1(A) &  (! [D] :  (r2_tarski(D, k4_finseq_1(C)) => k1_recdef_1(C, D)=k11_nat_3(k1_recdef_1(A, D), B)) ) ) ) ) ) ) ) ) ) ).
fof(t50_nat_4, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (B=k1_xboole_0 => k1_nat_4(B, A)=k1_xboole_0) ) ) ) ) ).
fof(t51_nat_4, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) => k1_nat_4(k8_finseq_1(k4_ordinal1, B, C), A)=k8_finseq_1(k4_ordinal1, k1_nat_4(B, A), k1_nat_4(C, A))) ) ) ) ) ) ).
fof(t52_nat_4, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  => k1_nat_4(k3_pre_poly(k4_ordinal1, B), A)=k3_pre_poly(k4_ordinal1, k11_nat_3(B, A))) ) ) ) ).
fof(t53_nat_4, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  ( ~ (k2_wsierp_1(A)=k5_numbers)  => k11_nat_3(k2_wsierp_1(A), B)=k1_wsierp_1(k1_nat_4(A, B))) ) ) ) ) ).
fof(t54_nat_4, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  ( (k3_finseq_1(A)=k3_finseq_1(B) &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r2_tarski(C, k4_finseq_1(A)) =>  (r1_xxreal_0(k1_funct_1(A, C), k1_funct_1(B, C)) &  ~ (r1_xxreal_0(k1_funct_1(A, C), k5_numbers)) ) ) ) ) )  => r1_xxreal_0(k21_rvsum_1(A), k21_rvsum_1(B))) ) ) ) ) ).
fof(t55_nat_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  => k19_rvsum_1(k2_finseq_2(A, B))=k2_power(B, A)) ) ) ) ) ).
fof(t56_nat_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ~ ( (r1_xxreal_0(1, A) &  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  ~ ( ( ~ (r1_xxreal_0(B, A))  & r1_xxreal_0(B, k2_nat_1(2, A))) ) ) ) ) ) ) ) ).
fof(dt_k1_nat_4, axiom,  (! [A, B] :  ( (m1_finseq_1(A, k4_ordinal1) &  (v7_ordinal1(B) & v1_int_2(B)) )  => m2_finseq_1(k1_nat_4(A, B), k4_ordinal1)) ) ).
fof(t45_nat_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => r1_xxreal_0(k2_wsierp_1(k14_finseq_1(a_1_0_nat_4(A))), k2_power(4, A))) ) ).
fof(t46_nat_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r1_xxreal_0(2, A) => r1_xxreal_0(k2_wsierp_1(k14_finseq_1(a_1_1_nat_4(A))), k2_power(4, k6_xcmplx_0(A, 1)))) ) ) ).
fof(s1_nat_4, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & m1_subset_1(C, k4_ordinal1))  =>  (! [D] :  ~ ( (D=a_2_0_nat_4(B, C) & r1_xxreal_0(k2_wsierp_1(k14_finseq_1(D)), k5_numbers)) ) ) ) ) ) ) ) ) ).
fof(s2_nat_4, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & m1_subset_1(C, k4_ordinal1))  =>  (! [D] :  (D=a_2_1_nat_4(B, C) =>  (r2_tarski(k1_newton(A, k11_nat_3(C, A)), D) | k11_nat_3(k2_wsierp_1(k14_finseq_1(D)), A)=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(s3_nat_4, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & m1_subset_1(C, k4_ordinal1))  =>  (! [D] :  ( (D=a_2_2_nat_4(B, C) & r2_tarski(k1_newton(A, k11_nat_3(C, A)), D))  => k11_nat_3(k2_wsierp_1(k14_finseq_1(D)), A)=k11_nat_3(C, A)) ) ) ) ) ) ) ) ).
fof(s4_nat_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_finset_1(D) =>  ( (D=a_2_3_nat_4(B, C) & r1_xxreal_0(k5_numbers, C))  => r1_xxreal_0(k4_card_1(D), k1_int_1(C))) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_nat_4, axiom,  (! [A, B] :  (m1_subset_1(B, k4_ordinal1) =>  (r2_hidden(A, a_1_0_nat_4(B)) <=>  (? [C] :  ( (v1_int_2(C) & m1_subset_1(C, k4_ordinal1))  &  (A=C & r1_xxreal_0(C, k1_nat_1(B, 1))) ) ) ) ) ) ).
fof(fraenkel_a_1_1_nat_4, axiom,  (! [A, B] :  (v1_xreal_0(B) =>  (r2_hidden(A, a_1_1_nat_4(B)) <=>  (? [C] :  ( (v1_int_2(C) & m1_subset_1(C, k4_ordinal1))  &  (A=C & r1_xxreal_0(C, B)) ) ) ) ) ) ).
fof(fraenkel_a_2_0_nat_4, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k4_ordinal1) &  ( ~ (v8_ordinal1(C))  & m1_subset_1(C, k4_ordinal1)) )  =>  (r2_hidden(A, a_2_0_nat_4(B, C)) <=>  (? [D] :  ( (v1_int_2(D) & m1_subset_1(D, k4_ordinal1))  &  (A=k11_newton(D, k11_nat_3(C, D)) & p1_s1_nat_4(B, C, D)) ) ) ) ) ) ).
fof(fraenkel_a_2_1_nat_4, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k4_ordinal1) &  ( ~ (v8_ordinal1(C))  & m1_subset_1(C, k4_ordinal1)) )  =>  (r2_hidden(A, a_2_1_nat_4(B, C)) <=>  (? [D] :  ( (v1_int_2(D) & m1_subset_1(D, k4_ordinal1))  &  (A=k11_newton(D, k11_nat_3(C, D)) & p1_s2_nat_4(B, C, D)) ) ) ) ) ) ).
fof(fraenkel_a_2_2_nat_4, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k4_ordinal1) &  ( ~ (v8_ordinal1(C))  & m1_subset_1(C, k4_ordinal1)) )  =>  (r2_hidden(A, a_2_2_nat_4(B, C)) <=>  (? [D] :  ( (v1_int_2(D) & m1_subset_1(D, k4_ordinal1))  &  (A=k11_newton(D, k11_nat_3(C, D)) & p1_s3_nat_4(B, C, D)) ) ) ) ) ) ).
fof(fraenkel_a_2_3_nat_4, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k4_ordinal1) & v1_xreal_0(C))  =>  (r2_hidden(A, a_2_3_nat_4(B, C)) <=>  (? [D] :  ( (v1_int_2(D) & m1_subset_1(D, k4_ordinal1))  &  (A=f1_s4_nat_4(D, B) &  (r1_xxreal_0(D, C) & p1_s4_nat_4(D, B)) ) ) ) ) ) ) ).
fof(fc1_nat_5, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  &  (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(A))) )  =>  (v7_ordinal1(k2_uproots(C, k1_nat_5(A, B, C))) & v1_xreal_0(k2_uproots(C, k1_nat_5(A, B, C)))) ) ) ).
fof(t1_nat_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ (r1_xxreal_0(k6_xcmplx_0(k11_newton(2, k1_nat_1(A, 2)), 1), k11_newton(2, k1_nat_1(A, 1)))) ) ) ).
fof(t2_nat_5, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ~ ( (v1_abian(A) &  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (v1_abian(C))  &  ( ~ (r1_xxreal_0(B, k5_numbers))  & A=k3_xcmplx_0(k1_newton(2, B), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_nat_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (B=k1_newton(2, A) =>  (v1_abian(C) | r1_int_2(B, C)) ) ) ) ) ) ) ) ).
fof(t4_nat_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_finset_1(k1_tarski(A)) & m1_subset_1(k1_tarski(A), k1_zfmisc_1(k4_ordinal1))) ) ) ).
fof(t5_nat_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (v1_finset_1(k2_tarski(A, B)) & m1_subset_1(k2_tarski(A, B), k1_zfmisc_1(k4_ordinal1))) ) ) ) ) ).
fof(t6_nat_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (v2_funct_1(B) => v2_funct_1(k2_finseq_3(A, B))) ) ) ) ) ).
fof(t7_nat_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ~ ( (v2_funct_1(B) &  (r2_tarski(A, k4_finseq_1(B)) & r2_tarski(k1_funct_1(B, A), k10_xtuple_0(k2_finseq_3(A, B)))) ) ) ) ) ) ) ).
fof(t8_nat_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (r2_tarski(C, k10_xtuple_0(B)) =>  (r2_tarski(C, k10_xtuple_0(k2_finseq_3(A, B))) | C=k1_funct_1(B, A)) ) ) ) ) ) ) ).
fof(t9_nat_5, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r1_tarski(k1_rvsum_1(B), k4_finseq_1(C)) => m2_finseq_1(k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, A, B, C), A)) ) ) ) ) ) ).
fof(t10_nat_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  (! [E] :  (m2_finseq_1(E, k1_numbers) =>  ( (k2_xboole_0(A, B)=k4_finseq_1(C) &  (r1_xboole_0(A, B) &  (r2_relset_1(k4_ordinal1, k1_numbers, D, k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k1_numbers, k14_finseq_1(A), C)) & r2_relset_1(k4_ordinal1, k1_numbers, E, k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k1_numbers, k14_finseq_1(B), C))) ) )  => k18_rvsum_1(C)=k2_xcmplx_0(k18_rvsum_1(D), k18_rvsum_1(E))) ) ) ) ) ) ) ) ) ).
fof(t11_nat_5, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  ( (r2_relset_1(k4_ordinal1, k1_numbers, C, k1_partfun1(k4_ordinal1, k4_ordinal1, k4_ordinal1, k1_numbers, k14_finseq_1(A), B)) &  (r1_tarski(k7_subset_1(k4_ordinal1, k4_finseq_1(B), k8_relset_1(k4_ordinal1, k1_numbers, B, k6_domain_1(k4_ordinal1, k5_numbers))), A) & r1_tarski(A, k4_finseq_1(B))) )  => k18_rvsum_1(B)=k18_rvsum_1(C)) ) ) ) ) ) ).
fof(t12_nat_5, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (B=k1_finseq_3(A, k6_domain_1(k4_ordinal1, k5_numbers)) => k18_rvsum_1(A)=k18_rvsum_1(B)) ) ) ) ) ).
fof(t13_nat_5, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) => m2_finseq_1(A, k1_numbers)) ) ).
fof(t14_nat_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(C, k3_moebius1(A)) &  (r2_tarski(D, k3_moebius1(B)) & r1_int_2(A, B)) )  => r1_int_2(C, D)) ) ) ) ) ) ) ) ) ).
fof(t15_nat_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r2_tarski(C, k3_moebius1(A)) &  (r2_tarski(E, k3_moebius1(B)) &  (r2_tarski(D, k3_moebius1(A)) &  (r2_tarski(F, k3_moebius1(B)) &  (r1_int_2(A, B) & k3_xcmplx_0(C, E)=k3_xcmplx_0(D, F)) ) ) ) )  =>  (C=D & E=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_nat_5, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(C, k3_moebius1(A)) & r2_tarski(D, k3_moebius1(B)))  => r2_tarski(k3_xcmplx_0(C, D), k3_moebius1(k3_xcmplx_0(A, B)))) ) ) ) ) ) ) ) ) ).
fof(t17_nat_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (r1_int_2(B, C) => k6_nat_d(A, k3_xcmplx_0(B, C))=k2_nat_1(k6_nat_d(A, B), k6_nat_d(A, C))) ) ) ) ) ) ) ).
fof(t18_nat_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  ~ ( (r1_int_2(B, C) &  (r2_tarski(A, k3_moebius1(k3_xcmplx_0(B, C))) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_tarski(D, k3_moebius1(B)) &  (r2_tarski(E, k3_moebius1(C)) & A=k3_xcmplx_0(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_nat_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (k4_nat_d(k3_xcmplx_0(A, C), B)=k4_nat_d(k3_xcmplx_0(A, D), B) & v1_int_2(B))  =>  (k5_numbers=A |  (r1_xxreal_0(B, A) |  (r1_xxreal_0(B, C) |  (r1_xxreal_0(B, D) | C=D) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_nat_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (v1_int_2(A) => k11_nat_3(k6_nat_d(B, C), A)=k3_xxreal_0(k11_nat_3(B, A), k11_nat_3(C, A))) ) ) ) ) ) ) ).
fof(t22_nat_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_int_2(A) <=>  (k4_nat_d(k1_nat_1(k7_newton(k7_nat_d(A, 1)), 1), A)=k5_numbers &  ~ (r1_xxreal_0(A, 1)) ) ) ) ) ).
fof(t23_nat_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( (v1_int_2(A) &  (k4_nat_d(A, 4)=1 &  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ (A=k1_nat_1(k1_pepin(B), k1_pepin(C))) ) ) ) ) ) ) ) ) ) ).
fof(t24_nat_5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(k4_ordinal1)))  =>  (r1_funct_2(k4_ordinal1, k4_ordinal1, k4_ordinal1, k1_numbers, A, B) =>  ( (! [D] :  (v7_ordinal1(D) =>  ~ (r1_tarski(C, k2_finseq_1(D))) ) )  | k2_uproots(C, k1_nat_5(k4_ordinal1, A, C))=k18_rvsum_1(k4_bhsp_5(k1_numbers, k4_ordinal1, B, k14_finseq_1(C)))) ) ) ) ) ) ) ) ).
fof(t25_nat_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(A)))  =>  (C=B => k2_uproots(D, k1_nat_5(A, C, D))=k21_rfunct_3(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t26_nat_5, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(A)))  =>  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(A)))  =>  (r1_xboole_0(C, D) => k2_uproots(k4_subset_1(A, C, D), k1_nat_5(A, B, k4_subset_1(A, C, D)))=k2_xcmplx_0(k2_uproots(C, k1_nat_5(A, B, C)), k2_uproots(D, k1_nat_5(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t27_nat_5, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(A)))  =>  (! [D] :  (C=k1_tarski(D) => k2_uproots(C, k1_nat_5(A, B, C))=k1_funct_1(B, D)) ) ) ) ) ) ) ).
fof(t28_nat_5, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(A)))  =>  (! [E] :  ( (v1_finset_1(E) & m1_subset_1(E, k1_zfmisc_1(A)))  => k2_uproots(k8_mcart_1(A, A, D, E), k1_nat_5(k2_zfmisc_1(A, A), k1_partfun1(k2_zfmisc_1(A, A), k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_ordinal1, k16_funct_3(A, A, k4_ordinal1, k4_ordinal1, B, C), k24_binop_2), k8_mcart_1(A, A, D, E)))=k3_xcmplx_0(k2_uproots(D, k1_nat_5(A, B, D)), k2_uproots(E, k1_nat_5(A, C, E)))) ) ) ) ) ) ) ) ) ).
fof(d1_nat_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  =>  (B=k2_nat_5(A) <=>  (! [C] :  (v7_ordinal1(C) => k1_recdef_1(B, C)=k1_newton(C, A)) ) ) ) ) ) ) ).
fof(d2_nat_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( ( ~ (B=k5_numbers)  =>  (C=k3_nat_5(A, B) <=>  (! [D] :  ( (v7_ordinal1(D) &  ~ (v8_ordinal1(D)) )  =>  (B=D => C=k2_uproots(k3_moebius1(D), k1_nat_5(k4_ordinal1, k2_nat_5(A), k3_moebius1(D)))) ) ) ) )  &  (B=k5_numbers =>  (C=k3_nat_5(A, B) <=> C=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(d3_nat_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  =>  (B=k4_nat_5(A) <=>  (! [C] :  (v7_ordinal1(C) => k1_recdef_1(B, C)=k3_nat_5(A, C)) ) ) ) ) ) ) ).
fof(d4_nat_5, axiom,  (! [A] :  (v7_ordinal1(A) => k5_nat_5(A)=k3_nat_5(1, A)) ) ).
fof(t29_nat_5, axiom,  (! [A] :  (v7_ordinal1(A) => k3_nat_5(A, 1)=1) ) ).
fof(t30_nat_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (v1_int_2(B) => k5_nat_5(k1_newton(B, A))=k7_xcmplx_0(k6_xcmplx_0(k1_newton(B, k1_nat_1(A, 1)), 1), k6_xcmplx_0(B, 1))) ) ) ) ) ).
fof(t31_nat_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (r1_nat_d(A, B) =>  (B=A |  (A=1 | r1_xxreal_0(k2_xcmplx_0(k2_xcmplx_0(1, A), B), k5_nat_5(B))) ) ) ) ) ) ) ).
fof(t32_nat_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  ( (r1_nat_d(B, C) & r1_nat_d(A, C))  =>  (C=B |  (C=A |  (B=1 |  (A=1 |  (B=A | r1_xxreal_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(1, B), A), C), k5_nat_5(C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_nat_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  ( (k5_nat_5(B)=k2_xcmplx_0(B, A) & r1_nat_d(A, B))  =>  (B=A |  (A=1 & v1_int_2(B)) ) ) ) ) ) ) ).
fof(d5_nat_5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  =>  (v1_nat_5(A) <=>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (r1_int_2(B, C) => k1_recdef_1(A, k3_xcmplx_0(B, C))=k2_nat_1(k1_recdef_1(A, B), k1_recdef_1(A, C))) ) ) ) ) ) ) ) ).
fof(t34_nat_5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  =>  ( (v1_nat_5(A) &  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  => k1_recdef_1(B, C)=k2_uproots(k3_moebius1(C), k1_nat_5(k4_ordinal1, A, k3_moebius1(C)))) ) )  => v1_nat_5(B)) ) ) ) ) ).
fof(t35_nat_5, axiom,  (! [A] :  (v7_ordinal1(A) => v1_nat_5(k2_nat_5(A))) ) ).
fof(t36_nat_5, axiom,  (! [A] :  (v7_ordinal1(A) => v1_nat_5(k4_nat_5(A))) ) ).
fof(t37_nat_5, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (r1_int_2(A, B) => k5_nat_5(k3_xcmplx_0(A, B))=k2_nat_1(k5_nat_5(A), k5_nat_5(B))) ) ) ) ) ).
fof(d6_nat_5, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (v2_nat_5(A) <=> k5_nat_5(A)=k3_xcmplx_0(2, A)) ) ) ).
fof(t38_nat_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  ( (v1_int_2(k7_nat_d(k1_newton(2, A), 1)) & B=k2_nat_1(k11_newton(2, k7_nat_d(A, 1)), k7_nat_d(k1_newton(2, A), 1)))  => v2_nat_5(B)) ) ) ) ) ).
fof(t39_nat_5, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ~ ( (v1_abian(A) &  (v2_nat_5(A) &  (! [B] :  (v7_ordinal1(B) =>  ~ ( (v1_int_2(k7_nat_d(k1_newton(2, B), 1)) & A=k2_nat_1(k11_newton(2, k7_nat_d(B, 1)), k7_nat_d(k1_newton(2, B), 1))) ) ) ) ) ) ) ) ) ).
fof(d7_nat_5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  =>  (A=k6_nat_5 <=>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k1_recdef_1(A, B)=k1_euler_1(B)) ) ) ) ) ).
fof(t40_nat_5, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => k2_uproots(k3_moebius1(A), k1_nat_5(k4_ordinal1, k6_nat_5, k3_moebius1(A)))=A) ) ).
fof(dt_k1_nat_5, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  &  (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(A))) )  =>  (v1_relat_1(k1_nat_5(A, B, C)) &  (v4_relat_1(k1_nat_5(A, B, C), C) &  (v1_funct_1(k1_nat_5(A, B, C)) &  (v1_partfun1(k1_nat_5(A, B, C), C) &  (v4_valued_0(k1_nat_5(A, B, C)) & v2_pre_poly(k1_nat_5(A, B, C))) ) ) ) ) ) ) ).
fof(redefinition_k1_nat_5, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  &  (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(A))) )  => k1_nat_5(A, B, C)=k5_relat_1(B, C)) ) ).
fof(dt_k2_nat_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_funct_1(k2_nat_5(A)) &  (v1_funct_2(k2_nat_5(A), k4_ordinal1, k4_ordinal1) & m1_subset_1(k2_nat_5(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) ) ) ).
fof(dt_k3_nat_5, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => m1_subset_1(k3_nat_5(A, B), k4_ordinal1)) ) ).
fof(dt_k4_nat_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_funct_1(k4_nat_5(A)) &  (v1_funct_2(k4_nat_5(A), k4_ordinal1, k4_ordinal1) & m1_subset_1(k4_nat_5(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) ) ) ).
fof(dt_k5_nat_5, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k5_nat_5(A), k4_ordinal1)) ) ).
fof(dt_k6_nat_5, axiom,  (v1_funct_1(k6_nat_5) &  (v1_funct_2(k6_nat_5, k4_ordinal1, k4_ordinal1) & m1_subset_1(k6_nat_5, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) ).
fof(t19_nat_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (v1_int_2(B) => k3_moebius1(k1_newton(B, A))=a_2_0_nat_5(A, B)) ) ) ) ) ).
fof(fraenkel_a_2_0_nat_5, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) & v7_ordinal1(C))  =>  (r2_hidden(A, a_2_0_nat_5(B, C)) <=>  (? [D] :  (m1_subset_1(D, k4_ordinal1) &  (A=k1_newton(C, D) & r1_xxreal_0(D, B)) ) ) ) ) ) ).
fof(fc1_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) & v2_xxreal_0(A))  => v7_ordinal1(k6_xcmplx_0(A, 1))) ) ).
fof(fc2_nat_6, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  => v2_xxreal_0(k6_xcmplx_0(A, 1))) ) ).
fof(rd1_nat_6, axiom,  (! [A] :  (v7_ordinal1(A) => k1_newton(1, A)=1) ) ).
fof(rd2_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_abian(A))  => k1_newton(k4_xcmplx_0(1), A)=1) ) ).
fof(rd3_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_abian(A)) )  => k1_newton(k4_xcmplx_0(1), A)=k4_xcmplx_0(1)) ) ).
fof(fc3_nat_6, axiom,  (! [A] :  ( (v1_int_1(A) & v1_abian(A))  => v1_int_1(k7_xcmplx_0(A, 2))) ) ).
fof(fc4_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_abian(A))  => v7_ordinal1(k7_xcmplx_0(A, 2))) ) ).
fof(cc1_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A)) ) ) ).
fof(rc1_nat_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (v1_ordinal1(B) &  (v2_ordinal1(B) &  (v3_ordinal1(B) &  (v7_ordinal1(B) &  (v1_xcmplx_0(B) &  (v1_xreal_0(B) &  (v1_int_1(B) &  (v2_int_1(B) &  ( ~ (v1_abian(B))  &  (v1_xxreal_0(B) &  ( ~ (v3_xxreal_0(B))  & v1_nat_6(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_nat_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (v1_ordinal1(B) &  (v2_ordinal1(B) &  (v3_ordinal1(B) &  (v7_ordinal1(B) &  (v1_xcmplx_0(B) &  (v1_xreal_0(B) &  (v1_int_1(B) &  (v2_int_1(B) &  (v1_abian(B) &  (v1_xxreal_0(B) &  ( ~ (v3_xxreal_0(B))  & v1_nat_6(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc2_nat_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_nat_6(B, A))  =>  (v7_ordinal1(B) & v1_ec_pf_2(B, A)) ) ) ) ) ).
fof(cc3_nat_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_ec_pf_2(B, k2_xcmplx_0(A, 1)))  =>  (v7_ordinal1(B) & v1_ec_pf_2(B, A)) ) ) ) ) ).
fof(cc4_nat_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_nat_6(B, k2_xcmplx_0(A, 1)))  =>  (v7_ordinal1(B) & v1_nat_6(B, A)) ) ) ) ) ).
fof(cc5_nat_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_nat_6(B, A))  =>  (v7_ordinal1(B) & v1_ec_pf_2(B, k2_xcmplx_0(A, 1))) ) ) ) ) ).
fof(cc6_nat_6, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  (! [B] :  ( (v7_ordinal1(B) & v1_ec_pf_2(B, A))  =>  ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B)) ) ) ) ) ).
fof(fc5_nat_6, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) & v2_xxreal_0(A))  &  (v7_ordinal1(B) &  (v7_ordinal1(C) & v1_ec_pf_2(C, B)) ) )  => v1_ec_pf_2(k1_newton(A, C), k1_newton(A, B))) ) ).
fof(fc6_nat_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  &  (v7_ordinal1(B) &  (v7_ordinal1(C) & v1_nat_6(C, B)) ) )  => v1_nat_6(k1_newton(A, C), k1_newton(A, B))) ) ).
fof(cc7_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_ec_pf_2(A, 2))  =>  ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A)) ) ) ).
fof(cc8_nat_6, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  (v7_ordinal1(A) & v1_ec_pf_2(A, 2)) ) ) ).
fof(cc9_nat_6, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v7_ordinal1(A) &  ~ (v1_abian(A)) ) )  =>  (v7_ordinal1(A) & v1_nat_6(A, 2)) ) ) ).
fof(fc7_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_nat_6(A, 2))  =>  ~ (v1_zfmisc_1(k6_xcmplx_0(A, 1))) ) ) ).
fof(fc8_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_ec_pf_2(A, 2))  => v7_ordinal1(k6_xcmplx_0(A, 2))) ) ).
fof(fc9_nat_6, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (v7_ordinal1(B) & v1_ec_pf_2(B, A)) )  => v7_ordinal1(k6_xcmplx_0(B, 1))) ) ).
fof(cc10_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_nat_6(A, 2)) )  =>  (v7_ordinal1(A) &  (v1_int_2(A) &  ~ (v1_abian(A)) ) ) ) ) ).
fof(rc3_nat_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (v1_ordinal1(B) &  (v2_ordinal1(B) &  (v3_ordinal1(B) &  (v7_ordinal1(B) &  (v1_xcmplx_0(B) &  (v1_xreal_0(B) &  (v1_int_1(B) &  (v2_int_1(B) &  (v1_int_2(B) &  (v1_xxreal_0(B) &  ( ~ (v3_xxreal_0(B))  & v1_nat_6(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc4_nat_6, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  (? [B] :  (m1_nat_6(B, A) &  ( ~ (v1_zfmisc_1(B))  &  (v1_ordinal1(B) &  (v2_ordinal1(B) &  (v3_ordinal1(B) &  (v7_ordinal1(B) &  (v1_xcmplx_0(B) &  (v1_xreal_0(B) &  (v1_int_1(B) &  (v2_int_1(B) &  (v1_xxreal_0(B) &  ~ (v3_xxreal_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc11_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_nat_6(B, A) =>  ~ (v8_ordinal1(B)) ) ) ) ) ).
fof(cc12_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) & v2_xxreal_0(A))  =>  (! [B] :  (m1_nat_6(B, A) => v2_xxreal_0(B)) ) ) ) ).
fof(cc13_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_nat_6(B, A) =>  ~ (v1_nat_6(B, A)) ) ) ) ) ).
fof(rc5_nat_6, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  (? [B] :  (m1_nat_6(B, A) &  ( ~ (v1_xboole_0(B))  &  (v1_ordinal1(B) &  (v2_ordinal1(B) &  (v3_ordinal1(B) &  (v7_ordinal1(B) &  ( ~ (v8_ordinal1(B))  &  (v1_xcmplx_0(B) &  (v1_xreal_0(B) &  (v1_int_1(B) &  (v2_int_1(B) &  (v1_int_2(B) &  (v1_xxreal_0(B) &  (v2_xxreal_0(B) &  ( ~ (v3_xxreal_0(B))  &  ~ (v1_nat_6(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc10_nat_6, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_nat_6(B, A))  => v7_ordinal1(k7_xcmplx_0(A, B))) ) ).
fof(fc11_nat_6, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_nat_6(B, A) & m1_nat_6(C, B)) )  => v7_ordinal1(k7_xcmplx_0(A, C))) ) ).
fof(rc6_nat_6, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_int_2(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  & v2_nat_6(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc7_nat_6, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  ( ~ (v1_int_2(A))  &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  & v2_nat_6(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc14_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) & v2_nat_6(A))  =>  ( ~ (v1_zfmisc_1(A))  &  (v7_ordinal1(A) &  ~ (v1_abian(A)) ) ) ) ) ).
fof(fc12_nat_6, axiom,  (! [A] :  (v7_ordinal1(A) => v2_nat_6(k4_pepin(A))) ) ).
fof(fc13_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (v7_ordinal1(k2_nat_6(A)) & v2_nat_6(k2_nat_6(A))) ) ) ).
fof(t1_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) & v2_xxreal_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(C, B) => r1_xxreal_0(k1_newton(A, C), k1_newton(A, B))) ) ) ) ) ) ) ).
fof(t2_nat_6, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(B, C))  & r1_xxreal_0(k1_newton(A, B), k1_newton(A, C))) ) ) ) ) ) ) ) ).
fof(t3_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (? [B] :  (v7_ordinal1(B) &  (? [C] :  ( (v7_ordinal1(C) &  ~ (v1_abian(C)) )  & A=k3_xcmplx_0(C, k1_newton(2, B))) ) ) ) ) ) ).
fof(t4_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_abian(A))  => k3_nat_d(A, 2)=k7_xcmplx_0(A, 2)) ) ).
fof(t5_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_abian(A)) )  => k3_nat_d(A, 2)=k7_xcmplx_0(k6_xcmplx_0(A, 1), 2)) ) ).
fof(t6_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (v1_int_1(B) =>  ( ~ (k3_int_2(B, A)=1)  <=> r1_int_1(A, B)) ) ) ) ) ).
fof(t7_nat_6, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( (v7_ordinal1(C) & v1_int_2(C))  =>  ~ ( (r1_int_1(C, k3_xcmplx_0(A, B)) &  ( ~ (r1_int_1(C, A))  &  ~ (r1_int_1(C, B)) ) ) ) ) ) ) ) ) ) ).
fof(t8_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (r1_nat_d(A, k1_newton(B, C)) <=> A=B) ) ) ) ) ) ) ).
fof(t9_nat_6, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (r2_int_1(A, B, C) <=>  (? [D] :  (v1_int_1(D) & A=k2_xcmplx_0(k3_xcmplx_0(D, C), B)) ) ) ) ) ) ) ) ) ).
fof(t10_nat_6, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & v1_int_1(B))  => r2_int_1(A, k5_int_1(A, B), B)) ) ) ) ).
fof(t11_nat_6, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( (v1_int_1(C) & v2_xxreal_0(C))  =>  (r2_int_1(A, B, C) <=> k5_int_1(A, C)=k5_int_1(B, C)) ) ) ) ) ) ) ).
fof(t12_nat_6, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_int_1(A, C, B) =>  (r1_xxreal_0(B, C) | k5_int_1(A, B)=C) ) ) ) ) ) ) ) ).
fof(t13_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v1_int_1(B) =>  ~ ( (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(k5_numbers, C) &  (r1_xxreal_0(C, k6_xcmplx_0(A, 1)) & r2_int_1(B, C, A)) ) ) ) ) ) ) ) ) ) ).
fof(t14_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_int_1(B, C, A) & r2_int_1(B, D, A))  =>  (r1_xxreal_0(A, C) |  (r1_xxreal_0(A, D) | C=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_nat_6, axiom,  (! [A] :  (v1_int_1(A) =>  (r2_int_1(k1_newton(A, 2), k5_numbers, 3) | r2_int_1(k1_newton(A, 2), 1, 3)) ) ) ).
fof(t16_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_int_7(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_int_7(A))) =>  (! [D] :  (v1_int_1(D) =>  (! [E] :  (v1_int_1(E) =>  ( (B=D & C=E)  => k8_group_1(k3_int_7(A), B, C)=k5_int_1(k3_xcmplx_0(D, E), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_int_7(A))) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (B=C => k5_group_1(k3_int_7(A), B, D)=k5_int_1(k1_newton(C, D), A)) ) ) ) ) ) ) ) ) ).
fof(t18_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (v1_int_1(B) =>  (r2_int_1(k1_newton(B, 2), 1, A) <=>  (r2_int_1(B, 1, A) | r2_int_1(B, k4_xcmplx_0(1), A)) ) ) ) ) ) ).
fof(t19_nat_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r2_int_1(k4_xcmplx_0(1), 1, A) <=>  (A=2 | A=1) ) ) ) ).
fof(t20_nat_6, axiom,  (! [A] :  (v1_int_1(A) =>  (r2_int_1(k4_xcmplx_0(1), 1, A) <=>  ~ ( ( ~ (A=2)  &  ( ~ (A=1)  &  ( ~ (A=k4_xcmplx_0(2))  &  ~ (A=k4_xcmplx_0(1)) ) ) ) ) ) ) ) ).
fof(d1_nat_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (v1_nat_6(B, A) <=>  ~ (r1_xxreal_0(B, A)) ) ) ) ) ) ).
fof(d2_nat_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (m1_nat_6(B, A) <=> r1_nat_d(B, A)) ) ) ) ) ).
fof(t21_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_nat_6(A, 2))  =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  & m1_nat_6(B, k6_xcmplx_0(A, 1)))  =>  ~ ( ( ~ (r1_xxreal_0(B, k3_square_1(A)))  &  ( (? [C] :  (v7_ordinal1(C) &  (r2_int_1(k1_newton(C, k6_xcmplx_0(A, 1)), 1, A) &  (! [D] :  ( (v1_int_2(D) & m1_nat_6(D, B))  => k3_int_2(k6_xcmplx_0(k1_newton(C, k7_xcmplx_0(k6_xcmplx_0(A, 1), D)), 1), A)=1) ) ) ) )  &  ~ (v1_int_2(A)) ) ) ) ) ) ) ) ).
fof(t22_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) & v2_xxreal_0(A))  =>  (! [B] :  (v1_int_1(B) =>  (r1_int_5(B, A) <=>  (? [C] :  (v1_int_1(C) & r2_int_1(k1_newton(C, 2), B, A)) ) ) ) ) ) ) ).
fof(t23_nat_6, axiom,  ~ (r1_int_5(2, 3)) ).
fof(d3_nat_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  ( ( (k3_int_2(B, A)=1 & r1_int_5(B, A))  =>  (A=1 | k1_nat_6(A, B)=1) )  &  ( (r1_int_1(A, B) => k1_nat_6(A, B)=k5_numbers)  &  (k3_int_2(B, A)=1 =>  (r1_int_5(B, A) |  (A=1 | k1_nat_6(A, B)=k4_xcmplx_0(1)) ) ) ) ) ) ) ) ) ).
fof(d4_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (v1_int_1(B) =>  ( ( (k3_int_2(B, A)=1 & r1_int_5(B, A))  => k1_nat_6(A, B)=1)  &  ( (r1_int_1(A, B) => k1_nat_6(A, B)=k5_numbers)  &  (k3_int_2(B, A)=1 =>  (r1_int_5(B, A) | k1_nat_6(A, B)=k4_xcmplx_0(1)) ) ) ) ) ) ) ) ).
fof(t24_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (v1_int_1(B) =>  ~ ( ( ~ (k1_nat_6(A, B)=1)  &  ( ~ (k1_nat_6(A, B)=k5_numbers)  &  ~ (k1_nat_6(A, B)=k4_xcmplx_0(1)) ) ) ) ) ) ) ) ).
fof(t25_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (v1_int_1(B) =>  ( (k1_nat_6(A, B)=1 =>  (k3_int_2(B, A)=1 & r1_int_5(B, A)) )  &  ( ( (k3_int_2(B, A)=1 & r1_int_5(B, A))  => k1_nat_6(A, B)=1)  &  ( (k1_nat_6(A, B)=k5_numbers => r1_int_1(A, B))  &  ( (r1_int_1(A, B) => k1_nat_6(A, B)=k5_numbers)  &  ( (k1_nat_6(A, B)=k4_xcmplx_0(1) =>  (k3_int_2(B, A)=1 &  ~ (r1_int_5(B, A)) ) )  &  (k3_int_2(B, A)=1 =>  (r1_int_5(B, A) | k1_nat_6(A, B)=k4_xcmplx_0(1)) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_nat_6, axiom,  (! [A] :  (v7_ordinal1(A) => k1_nat_6(A, A)=k5_numbers) ) ).
fof(t27_nat_6, axiom,  (! [A] :  (v1_int_1(A) => k1_nat_6(2, A)=k5_int_1(A, 2)) ) ).
fof(t28_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_nat_6(A, 2)) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ( (k3_int_2(B, A)=1 &  (k3_int_2(C, A)=1 & r2_int_1(B, C, A)) )  => k1_nat_6(A, B)=k1_nat_6(A, C)) ) ) ) ) ) ) ).
fof(t29_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_nat_6(A, 2)) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ( (k3_int_2(B, A)=1 & k3_int_2(C, A)=1)  => k1_nat_6(A, k3_xcmplx_0(B, C))=k3_xcmplx_0(k1_nat_6(A, B), k1_nat_6(A, C))) ) ) ) ) ) ) ).
fof(t30_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_nat_6(A, 2)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  (v1_int_2(B) & v1_nat_6(B, 2)) )  =>  ( ~ (A=B)  => k3_xcmplx_0(k1_nat_6(B, A), k1_nat_6(A, B))=k1_newton(k4_xcmplx_0(1), k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(A, 1), 2), k7_xcmplx_0(k6_xcmplx_0(B, 1), 2)))) ) ) ) ) ).
fof(t31_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v1_nat_6(A, 2)) )  =>  (! [B] :  (v1_int_1(B) =>  (k3_int_2(B, A)=1 => r2_int_1(k1_newton(B, k7_xcmplx_0(k6_xcmplx_0(A, 1), 2)), k1_nat_6(A, B), A)) ) ) ) ) ).
fof(d5_nat_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v2_nat_6(A) <=>  (? [B] :  ( (v7_ordinal1(B) &  ~ (v1_abian(B)) )  &  (? [C] :  ( (v7_ordinal1(C) & v2_xxreal_0(C))  &  ( ~ (r1_xxreal_0(k1_newton(2, C), B))  & A=k2_xcmplx_0(k3_xcmplx_0(B, k1_newton(2, C)), 1)) ) ) ) ) ) ) ) ).
fof(t32_nat_6, axiom, v2_nat_6(3)).
fof(t33_nat_6, axiom, v2_nat_6(5)).
fof(t34_nat_6, axiom, v2_nat_6(9)).
fof(t35_nat_6, axiom, v2_nat_6(13)).
fof(t36_nat_6, axiom, v2_nat_6(17)).
fof(t37_nat_6, axiom, v2_nat_6(641)).
fof(t38_nat_6, axiom, v2_nat_6(11777)).
fof(t39_nat_6, axiom, v2_nat_6(13313)).
fof(t40_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) & v2_nat_6(A))  =>  (v1_int_2(A) <=>  (? [B] :  (v7_ordinal1(B) & r2_int_1(k1_newton(B, k7_xcmplx_0(k6_xcmplx_0(A, 1), 2)), k4_xcmplx_0(1), A)) ) ) ) ) ).
fof(t41_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_ec_pf_2(A, 2))  =>  (! [B] :  ( (v7_ordinal1(B) & v2_xxreal_0(B))  =>  (r1_xxreal_0(B, k6_xcmplx_0(k1_newton(2, A), 1)) =>  (r1_nat_d(3, B) |  (v1_int_2(k2_xcmplx_0(k3_xcmplx_0(B, k1_newton(2, A)), 1)) <=> r2_int_1(k1_newton(3, k3_xcmplx_0(B, k1_newton(2, k6_xcmplx_0(A, 1)))), k4_xcmplx_0(1), k2_xcmplx_0(k3_xcmplx_0(B, k1_newton(2, A)), 1))) ) ) ) ) ) ) ).
fof(t42_nat_6, axiom, v1_int_2(641)).
fof(t43_nat_6, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (v1_int_2(k4_pepin(A)) <=> r2_int_1(k1_newton(3, k7_xcmplx_0(k6_xcmplx_0(k4_pepin(A), 1), 2)), k4_xcmplx_0(1), k4_pepin(A))) ) ) ).
fof(t44_nat_6, axiom,  ~ (v1_int_2(k4_pepin(5))) ).
fof(d6_nat_6, axiom,  (! [A] :  (v7_ordinal1(A) => k2_nat_6(A)=k2_xcmplx_0(k3_xcmplx_0(A, k1_newton(2, A)), 1)) ) ).
fof(dt_m1_nat_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_nat_6(B, A) => v7_ordinal1(B)) ) ) ) ).
fof(existence_m1_nat_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] : m1_nat_6(B, A)) ) ) ).
fof(dt_k1_nat_6, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v1_int_1(B))  => v1_int_1(k1_nat_6(A, B))) ) ).
fof(dt_k2_nat_6, axiom,  (! [A] :  (v7_ordinal1(A) => v7_ordinal1(k2_nat_6(A))) ) ).
fof(d1_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (C=k1_nat_d(A, B) <=>  ~ ( ( (! [D] :  (v7_ordinal1(D) =>  ~ ( (A=k2_xcmplx_0(k3_xcmplx_0(B, C), D) &  ~ (r1_xxreal_0(B, D)) ) ) ) )  &  ~ ( (C=k5_numbers & B=k5_numbers) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (C=k2_nat_d(A, B) <=>  ~ ( ( (! [D] :  (v7_ordinal1(D) =>  ~ ( (A=k2_xcmplx_0(k3_xcmplx_0(B, D), C) &  ~ (r1_xxreal_0(B, C)) ) ) ) )  &  ~ ( (C=k5_numbers & B=k5_numbers) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  & r1_xxreal_0(A, k2_nat_d(B, A))) ) ) ) ) ) ).
fof(t2_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => B=k2_xcmplx_0(k3_xcmplx_0(A, k1_nat_d(B, A)), k2_nat_d(B, A))) ) ) ) ) ).
fof(d3_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_nat_d(A, B) <=>  (? [C] :  (v7_ordinal1(C) & B=k3_xcmplx_0(A, C)) ) ) ) ) ) ) ).
fof(t3_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_nat_d(B, A) <=> A=k3_xcmplx_0(B, k1_nat_d(A, B))) ) ) ) ) ).
fof(t4_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_nat_d(B, C) & r1_nat_d(C, A))  => r1_nat_d(B, A)) ) ) ) ) ) ) ).
fof(t5_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_nat_d(A, B) & r1_nat_d(B, A))  => A=B) ) ) ) ) ).
fof(t6_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(A, k5_numbers) & r1_nat_d(1, A)) ) ) ).
fof(t7_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_nat_d(A, B) =>  (r1_xxreal_0(B, k5_numbers) | r1_xxreal_0(A, B)) ) ) ) ) ) ).
fof(t8_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_nat_d(B, C) & r1_nat_d(B, A))  => r1_nat_d(B, k2_xcmplx_0(C, A))) ) ) ) ) ) ) ).
fof(t9_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_nat_d(B, C) => r1_nat_d(B, k3_xcmplx_0(C, A))) ) ) ) ) ) ) ).
fof(t10_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_nat_d(B, C) & r1_nat_d(B, k2_xcmplx_0(C, A)))  => r1_nat_d(B, A)) ) ) ) ) ) ) ).
fof(t11_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_nat_d(B, C) & r1_nat_d(B, A))  => r1_nat_d(B, k2_nat_d(C, A))) ) ) ) ) ) ) ).
fof(d4_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (C=k2_int_2(A, B) <=>  (r1_nat_d(A, C) &  (r1_nat_d(B, C) &  (! [D] :  (v7_ordinal1(D) =>  ( (r1_nat_d(A, D) & r1_nat_d(B, D))  => r1_nat_d(C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (C=k3_int_2(A, B) <=>  (r1_nat_d(C, A) &  (r1_nat_d(C, B) &  (! [D] :  (v7_ordinal1(D) =>  ( (r1_nat_d(D, A) & r1_nat_d(D, B))  => r1_nat_d(D, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (k2_nat_d(A, 2)=k5_numbers | k2_nat_d(A, 2)=1) ) ) ).
fof(t13_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k2_nat_d(k3_xcmplx_0(A, B), A)=k5_numbers) ) ) ) ).
fof(t14_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, 1))  => k2_nat_d(1, A)=1) ) ) ).
fof(t15_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (k2_nat_d(A, D)=k5_numbers & B=k6_xcmplx_0(A, k3_xcmplx_0(C, D)))  => k2_nat_d(B, D)=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(t16_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (k2_nat_d(A, C)=k5_numbers =>  (C=k5_numbers |  (r1_xxreal_0(C, B) | k2_nat_d(k2_xcmplx_0(A, B), C)=B) ) ) ) ) ) ) ) ) ).
fof(t17_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (k2_nat_d(A, C)=k5_numbers => k2_nat_d(k2_xcmplx_0(A, B), C)=k2_nat_d(B, C)) ) ) ) ) ) ) ).
fof(t18_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (A=k5_numbers)  => k1_nat_d(k3_xcmplx_0(A, B), A)=B) ) ) ) ) ).
fof(t19_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (k2_nat_d(A, C)=k5_numbers => k1_nat_d(k2_xcmplx_0(A, B), C)=k2_xcmplx_0(k1_nat_d(A, C), k1_nat_d(B, C))) ) ) ) ) ) ) ).
fof(t21_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k2_nat_d(B, C)=k2_nat_d(k2_xcmplx_0(k3_xcmplx_0(C, A), B), C)) ) ) ) ) ) ).
fof(t22_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k2_nat_d(k2_xcmplx_0(A, C), B)=k2_nat_d(k2_xcmplx_0(k2_nat_d(A, B), C), B)) ) ) ) ) ) ).
fof(t23_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k2_nat_d(k2_xcmplx_0(A, C), B)=k2_nat_d(k2_xcmplx_0(A, k2_nat_d(C, B)), B)) ) ) ) ) ) ).
fof(t24_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(B, A))  => k2_nat_d(A, B)=A) ) ) ) ) ).
fof(t25_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) => k2_nat_d(A, A)=k5_numbers) ) ).
fof(t26_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) => k5_numbers=k2_nat_d(k5_numbers, A)) ) ).
fof(t27_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(B, A))  => k1_nat_d(A, B)=k5_numbers) ) ) ) ) ).
fof(t28_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k3_int_2(B, A)=k3_int_2(A, k2_nat_d(B, A))) ) ) ) ) ).
fof(t29_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k3_xcmplx_0(A, B)=k3_xcmplx_0(k2_int_2(A, B), k3_int_2(A, B))) ) ) ) ).
fof(t30_nat_d, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (r1_xxreal_0(k5_numbers, A) =>  (r1_xxreal_0(B, k5_numbers) | k3_int_2(A, B)=k3_int_2(B, k5_int_1(A, B))) ) ) ) ) ) ).
fof(t31_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) => k2_int_2(A, A)=A) ) ).
fof(t32_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) => k3_int_2(A, A)=A) ) ).
fof(t33_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  ( ~ (A=k5_numbers)  & v1_int_1(k7_xcmplx_0(A, B))) ) ) ) ) ) ) ).
fof(t34_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k1_xreal_0(k2_xcmplx_0(A, B), B)=A) ) ) ) ).
fof(t35_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => r1_xxreal_0(k1_xreal_0(A, B), A)) ) ) ) ).
fof(t36_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (k1_xreal_0(A, B)=k5_numbers => r1_xxreal_0(A, B)) ) ) ) ) ).
fof(t37_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, C) => k1_xreal_0(k2_xcmplx_0(C, A), B)=k6_xcmplx_0(k2_xcmplx_0(C, A), B)) ) ) ) ) ) ) ).
fof(t38_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, C) => k1_xreal_0(k2_xcmplx_0(C, A), B)=k2_xcmplx_0(k1_xreal_0(C, B), A)) ) ) ) ) ) ) ).
fof(t39_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, k1_xreal_0(A, B)) | r1_xxreal_0(1, k6_xcmplx_0(A, B)))  => k1_xreal_0(A, B)=k6_xcmplx_0(A, B)) ) ) ) ) ).
fof(t40_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) => k1_xreal_0(A, k5_numbers)=A) ) ).
fof(t41_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, C) => r1_xxreal_0(k1_xreal_0(A, C), k1_xreal_0(A, B))) ) ) ) ) ) ) ).
fof(t42_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, C) => r1_xxreal_0(k1_xreal_0(B, A), k1_xreal_0(C, A))) ) ) ) ) ) ) ).
fof(t43_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, k1_xreal_0(A, B)) | r1_xxreal_0(1, k6_xcmplx_0(A, B)))  => k2_xcmplx_0(k1_xreal_0(A, B), B)=A) ) ) ) ) ).
fof(t44_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(A, B) => r1_xxreal_0(k1_xreal_0(A, 1), B)) ) ) ) ) ).
fof(t45_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) => k1_xreal_0(A, 2)=k1_xreal_0(k1_xreal_0(A, 1), 1)) ) ).
fof(t46_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(k1_nat_1(A, 1), B) =>  ( ~ (r1_xxreal_0(B, k1_xreal_0(A, 1)))  &  ( ~ (r1_xxreal_0(B, k1_xreal_0(A, 2)))  & r1_xxreal_0(A, B)) ) ) ) ) ) ) ).
fof(t47_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(k1_nat_1(A, 2), B) | r1_xxreal_0(k1_nat_1(k1_nat_1(A, 1), 1), B))  =>  ( ~ (r1_xxreal_0(B, k1_nat_1(A, 1)))  &  ( ~ (r1_xxreal_0(B, k7_nat_d(k1_nat_1(A, 1), 1)))  &  ( ~ (r1_xxreal_0(B, k7_nat_d(k1_nat_1(A, 1), 2)))  &  (r1_xxreal_0(k1_nat_1(A, 1), B) &  ( ~ (r1_xxreal_0(B, k2_xcmplx_0(k1_xreal_0(A, 1), 1)))  &  ( ~ (r1_xxreal_0(B, k1_xreal_0(k2_xcmplx_0(k1_xreal_0(A, 1), 1), 1)))  &  ( ~ (r1_xxreal_0(B, A))  &  ( ~ (r1_xxreal_0(B, k1_xreal_0(A, 1)))  &  ( ~ (r1_xxreal_0(B, k1_xreal_0(A, 2)))  & r1_xxreal_0(A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(A, B) | r1_xxreal_0(A, k1_xreal_0(B, 1)))  =>  ( ~ (r1_xxreal_0(k1_nat_1(B, 1), A))  &  (r1_xxreal_0(A, k1_nat_1(B, 1)) &  ( ~ (r1_xxreal_0(k1_nat_1(k1_nat_1(B, 1), 1), A))  &  (r1_xxreal_0(A, k1_nat_1(k1_nat_1(B, 1), 1)) &  ( ~ (r1_xxreal_0(k1_nat_1(B, 2), A))  & r1_xxreal_0(A, k1_nat_1(B, 2))) ) ) ) ) ) ) ) ) ) ).
fof(t49_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ ( (r1_xxreal_0(B, A) &  ~ (r1_xxreal_0(k1_nat_1(A, 1), B)) ) )  => r1_xxreal_0(A, k1_xreal_0(B, 1))) ) ) ) ) ).
fof(t50_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, A) => r1_xxreal_0(k1_xreal_0(B, C), A)) ) ) ) ) ) ) ).
fof(t51_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(1, k1_xreal_0(B, A)) & r1_xxreal_0(B, k1_xreal_0(B, A))) ) ) ) ) ) ) ).
fof(t52_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(k1_xreal_0(B, A), C) => r1_xxreal_0(B, k2_xcmplx_0(C, A))) ) ) ) ) ) ) ).
fof(t53_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, k2_xcmplx_0(C, A)) => r1_xxreal_0(k1_xreal_0(B, A), C)) ) ) ) ) ) ) ).
fof(t54_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(B, k1_xreal_0(C, A)) & r1_xxreal_0(A, C))  => r1_xxreal_0(k2_xcmplx_0(B, A), C)) ) ) ) ) ) ) ).
fof(t55_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(k2_xcmplx_0(C, A), B) => r1_xxreal_0(A, k1_xreal_0(B, C))) ) ) ) ) ) ) ).
fof(t56_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(A, B) &  ( ~ (r1_xxreal_0(C, B))  & r1_xxreal_0(k1_xreal_0(C, A), k1_xreal_0(B, A))) ) ) ) ) ) ) ) ) ).
fof(t57_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(C, B))  &  ( ~ (r1_xxreal_0(C, A))  & r1_xxreal_0(k1_xreal_0(C, A), k1_xreal_0(B, A))) ) ) ) ) ) ) ) ) ).
fof(t58_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(A, B) => k1_xreal_0(B, k1_xreal_0(B, A))=A) ) ) ) ) ).
fof(t59_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(A, B))  => k2_xcmplx_0(k1_xreal_0(A, k1_nat_1(B, 1)), 1)=k1_xreal_0(A, B)) ) ) ) ) ).
fof(t60_nat_d, axiom,  (! [A] :  (v1_finset_1(A) =>  (v1_zfmisc_1(A) <=>  ~ (r1_xxreal_0(2, k4_card_1(A))) ) ) ) ).
fof(t61_nat_d, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ( ( ~ (A=k5_numbers)  => k4_int_1(k2_xcmplx_0(B, k3_xcmplx_0(A, C)), A)=k2_xcmplx_0(k4_int_1(B, A), C))  & k5_int_1(k2_xcmplx_0(B, k3_xcmplx_0(A, C)), A)=k5_int_1(B, A)) ) ) ) ) ) ) ).
fof(t62_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  =>  (! [B] :  (v1_int_1(B) =>  (r1_xxreal_0(k5_numbers, k5_int_1(B, A)) &  ~ (r1_xxreal_0(A, k5_int_1(B, A))) ) ) ) ) ) ) ).
fof(t63_nat_d, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  ( (r1_xxreal_0(k5_numbers, B) =>  (r1_xxreal_0(A, B) | k5_int_1(B, A)=B) )  &  (r1_xxreal_0(k4_xcmplx_0(A), B) =>  (r1_xxreal_0(k5_numbers, B) | k5_int_1(B, A)=k2_xcmplx_0(A, B)) ) ) ) ) ) ) ).
fof(t64_nat_d, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ( (k5_int_1(B, A)=k5_int_1(C, A) =>  (A=k5_numbers | r2_int_1(B, C, A)) )  &  (r2_int_1(B, C, A) => k5_int_1(B, A)=k5_int_1(C, A)) ) ) ) ) ) ) ) ).
fof(t65_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) => k5_int_1(k5_int_1(B, A), A)=k5_int_1(B, A)) ) ) ) ).
fof(t66_nat_d, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) => k5_int_1(k2_xcmplx_0(B, C), A)=k5_int_1(k2_xcmplx_0(k5_int_1(B, A), k5_int_1(C, A)), A)) ) ) ) ) ) ).
fof(t67_nat_d, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) => k5_int_1(k3_xcmplx_0(B, C), A)=k5_int_1(k3_xcmplx_0(k5_int_1(B, A), k5_int_1(C, A)), A)) ) ) ) ) ) ).
fof(t68_nat_d, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (? [C] :  (v1_int_1(C) &  (? [D] :  (v1_int_1(D) & k3_int_2(A, B)=k2_xcmplx_0(k3_xcmplx_0(C, A), k3_xcmplx_0(D, B))) ) ) ) ) ) ) ) ).
fof(t69_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (k2_nat_d(B, A)=k6_xcmplx_0(A, 1) => k2_nat_d(k1_nat_1(B, 1), A)=k5_numbers) ) ) ) ) ).
fof(t70_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(k6_xcmplx_0(A, 1), k2_nat_d(B, A)))  => k2_nat_d(k1_nat_1(B, 1), A)=k1_nat_1(k2_nat_d(B, A), 1)) ) ) ) ) ).
fof(t71_nat_d, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v7_ordinal1(B) => k5_int_1(k3_xcmplx_0(A, B), B)=k5_numbers) ) ) ) ).
fof(t72_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(k5_numbers, k6_xcmplx_0(A, B)) => k2_xcmplx_0(k1_xreal_0(A, B), B)=A) ) ) ) ) ).
fof(s1_nat_d, axiom,  ( ( ( ~ (r1_xxreal_0(f3_s1_nat_d, k5_numbers))  &  ~ (r1_xxreal_0(f2_s1_nat_d, f3_s1_nat_d)) )  &  ( (f1_s1_nat_d(k5_numbers)=f2_s1_nat_d & f1_s1_nat_d(1)=f3_s1_nat_d)  &  (! [A] :  (v7_ordinal1(A) => f1_s1_nat_d(k1_nat_1(A, 2))=k4_nat_d(f1_s1_nat_d(A), f1_s1_nat_d(k1_nat_1(A, 1)))) ) ) )  =>  (? [A] :  (v7_ordinal1(A) &  (f1_s1_nat_d(A)=k6_nat_d(f2_s1_nat_d, f3_s1_nat_d) & f1_s1_nat_d(k1_nat_1(A, 1))=k5_numbers) ) ) ) ).
fof(s2_nat_d, axiom,  ( (p1_s2_nat_d(k5_numbers) &  ( ~ (r1_xxreal_0(f1_s2_nat_d, k5_numbers))  &  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (p1_s2_nat_d(k3_xcmplx_0(f1_s2_nat_d, A)) & r1_xxreal_0(B, f1_s2_nat_d))  =>  (B=k5_numbers | p1_s2_nat_d(k2_xcmplx_0(k3_xcmplx_0(f1_s2_nat_d, A), B))) ) ) ) ) ) ) )  => p1_s2_nat_d(f2_s2_nat_d)) ).
fof(dt_k1_nat_d, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k1_nat_d(A, B))) ) ).
fof(redefinition_k1_nat_d, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => k1_nat_d(A, B)=k4_int_1(A, B)) ) ).
fof(dt_k2_nat_d, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k2_nat_d(A, B))) ) ).
fof(redefinition_k2_nat_d, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => k2_nat_d(A, B)=k5_int_1(A, B)) ) ).
fof(dt_k3_nat_d, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => m1_subset_1(k3_nat_d(A, B), k4_ordinal1)) ) ).
fof(redefinition_k3_nat_d, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => k3_nat_d(A, B)=k4_int_1(A, B)) ) ).
fof(dt_k4_nat_d, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => m1_subset_1(k4_nat_d(A, B), k4_ordinal1)) ) ).
fof(redefinition_k4_nat_d, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => k4_nat_d(A, B)=k5_int_1(A, B)) ) ).
fof(reflexivity_r1_nat_d, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => r1_nat_d(A, A)) ) ).
fof(redefinition_r1_nat_d, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  =>  (r1_nat_d(A, B) <=> r1_int_1(A, B)) ) ) ).
fof(dt_k5_nat_d, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => m1_subset_1(k5_nat_d(A, B), k4_ordinal1)) ) ).
fof(commutativity_k5_nat_d, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => k5_nat_d(A, B)=k5_nat_d(B, A)) ) ).
fof(redefinition_k5_nat_d, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => k5_nat_d(A, B)=k2_int_2(A, B)) ) ).
fof(dt_k6_nat_d, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => m1_subset_1(k6_nat_d(A, B), k4_ordinal1)) ) ).
fof(commutativity_k6_nat_d, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => k6_nat_d(A, B)=k6_nat_d(B, A)) ) ).
fof(redefinition_k6_nat_d, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => k6_nat_d(A, B)=k3_int_2(A, B)) ) ).
fof(dt_f1_s1_nat_d, axiom,  (! [A] : v7_ordinal1(f1_s1_nat_d(A))) ).
fof(dt_f2_s1_nat_d, axiom, v7_ordinal1(f2_s1_nat_d)).
fof(dt_f3_s1_nat_d, axiom, v7_ordinal1(f3_s1_nat_d)).
fof(dt_f1_s2_nat_d, axiom, m1_subset_1(f1_s2_nat_d, k4_ordinal1)).
fof(dt_f2_s2_nat_d, axiom, m1_subset_1(f2_s2_nat_d, k4_ordinal1)).
fof(dt_k7_nat_d, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => m1_subset_1(k7_nat_d(A, B), k4_ordinal1)) ) ).
fof(redefinition_k7_nat_d, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => k7_nat_d(A, B)=k1_xreal_0(A, B)) ) ).
fof(fc1_nat_lat, axiom, v6_membered(u1_struct_0(k3_nat_lat))).
fof(ie1_nat_lat, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k3_nat_lat)) & m1_subset_1(B, u1_struct_0(k3_nat_lat)))  => k1_lattices(k3_nat_lat, A, B)=k5_nat_d(A, B)) ) ).
fof(ie2_nat_lat, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k3_nat_lat)) & m1_subset_1(B, u1_struct_0(k3_nat_lat)))  => k2_lattices(k3_nat_lat, A, B)=k6_nat_d(A, B)) ) ).
fof(fc2_nat_lat, axiom,  ( ~ (v2_struct_0(k3_nat_lat))  &  (v3_lattices(k3_nat_lat) & v10_lattices(k3_nat_lat)) ) ).
fof(fc3_nat_lat, axiom,  ( ~ (v2_struct_0(k3_nat_lat))  & v3_lattices(k3_nat_lat)) ).
fof(fc4_nat_lat, axiom,  ( ~ (v2_struct_0(k3_nat_lat))  &  (v3_lattices(k3_nat_lat) & v13_lattices(k3_nat_lat)) ) ).
fof(fc5_nat_lat, axiom,  ~ (v1_xboole_0(k6_nat_lat)) ).
fof(cc1_nat_lat, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (! [B] :  (m1_subset_1(B, A) => v1_xreal_0(B)) ) ) ) ).
fof(cc2_nat_lat, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k4_ordinal1)) =>  (! [B] :  (m1_subset_1(B, A) => v1_xreal_0(B)) ) ) ) ).
fof(cc3_nat_lat, axiom,  (! [A] :  (m1_subset_1(A, k6_nat_lat) =>  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ) ).
fof(fc6_nat_lat, axiom,  ( ~ (v2_struct_0(k10_nat_lat))  & v3_lattices(k10_nat_lat)) ).
fof(cc4_nat_lat, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k10_nat_lat)) =>  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ) ).
fof(ie3_nat_lat, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k10_nat_lat)) & m1_subset_1(B, u1_struct_0(k10_nat_lat)))  => k1_lattices(k10_nat_lat, A, B)=k5_nat_d(A, B)) ) ).
fof(ie4_nat_lat, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k10_nat_lat)) & m1_subset_1(B, u1_struct_0(k10_nat_lat)))  => k2_lattices(k10_nat_lat, A, B)=k6_nat_d(A, B)) ) ).
fof(fc7_nat_lat, axiom,  (v3_lattices(k10_nat_lat) &  (v4_lattices(k10_nat_lat) &  (v5_lattices(k10_nat_lat) &  (v6_lattices(k10_nat_lat) &  (v7_lattices(k10_nat_lat) &  (v8_lattices(k10_nat_lat) & v9_lattices(k10_nat_lat)) ) ) ) ) ) ).
fof(rc1_nat_lat, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (? [B] :  (m2_nat_lat(B, A) &  ( ~ (v2_struct_0(B))  &  (v3_lattices(B) &  (v4_lattices(B) &  (v5_lattices(B) &  (v6_lattices(B) &  (v7_lattices(B) &  (v8_lattices(B) &  (v9_lattices(B) & v10_lattices(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_nat_lat, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_ordinal1)))) )  =>  (A=k1_nat_lat <=>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k1_binop_1(A, C, B)=k6_nat_d(C, B)) ) ) ) ) ) ) ).
fof(d2_nat_lat, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_ordinal1)))) )  =>  (A=k2_nat_lat <=>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k1_binop_1(A, C, B)=k5_nat_d(C, B)) ) ) ) ) ) ) ).
fof(d3_nat_lat, axiom, k3_nat_lat=g3_lattices(k4_ordinal1, k2_nat_lat, k1_nat_lat)).
fof(t1_nat_lat, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k3_nat_lat)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_nat_lat)) => k1_lattices(k3_nat_lat, A, B)=k5_nat_d(A, B)) ) ) ) ).
fof(t2_nat_lat, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k3_nat_lat)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_nat_lat)) => k2_lattices(k3_nat_lat, A, B)=k6_nat_d(A, B)) ) ) ) ).
fof(t3_nat_lat, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k3_nat_lat)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_nat_lat)) =>  (r1_lattices(k3_nat_lat, A, B) => r1_nat_d(A, B)) ) ) ) ) ).
fof(d4_nat_lat, axiom, k4_nat_lat=1).
fof(d5_nat_lat, axiom, k5_nat_lat=k5_numbers).
fof(t4_nat_lat, axiom, k4_nat_lat=1).
fof(t5_nat_lat, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k3_nat_lat)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_nat_lat)) => k1_binop_1(k2_nat_lat, A, B)=k1_binop_1(k2_nat_lat, B, A)) ) ) ) ).
fof(t6_nat_lat, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k3_nat_lat)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_nat_lat)) => k1_binop_1(k1_nat_lat, B, A)=k1_binop_1(k1_nat_lat, A, B)) ) ) ) ).
fof(t7_nat_lat, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k3_nat_lat)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_nat_lat)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_nat_lat)) => k1_binop_1(k2_nat_lat, A, k1_binop_1(k2_nat_lat, B, C))=k1_binop_1(k2_nat_lat, k1_binop_1(k2_nat_lat, A, B), C)) ) ) ) ) ) ).
fof(t8_nat_lat, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k3_nat_lat)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_nat_lat)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_nat_lat)) =>  (k1_binop_1(k2_nat_lat, A, k1_binop_1(k2_nat_lat, B, C))=k1_binop_1(k2_nat_lat, k1_binop_1(k2_nat_lat, B, A), C) &  (k1_binop_1(k2_nat_lat, A, k1_binop_1(k2_nat_lat, B, C))=k1_binop_1(k2_nat_lat, k1_binop_1(k2_nat_lat, A, C), B) &  (k1_binop_1(k2_nat_lat, A, k1_binop_1(k2_nat_lat, B, C))=k1_binop_1(k2_nat_lat, k1_binop_1(k2_nat_lat, C, B), A) & k1_binop_1(k2_nat_lat, A, k1_binop_1(k2_nat_lat, B, C))=k1_binop_1(k2_nat_lat, k1_binop_1(k2_nat_lat, C, A), B)) ) ) ) ) ) ) ) ) ).
fof(t9_nat_lat, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k3_nat_lat)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_nat_lat)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_nat_lat)) => k1_binop_1(k1_nat_lat, A, k1_binop_1(k1_nat_lat, B, C))=k1_binop_1(k1_nat_lat, k1_binop_1(k1_nat_lat, A, B), C)) ) ) ) ) ) ).
fof(t10_nat_lat, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k3_nat_lat)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_nat_lat)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_nat_lat)) =>  (k1_binop_1(k1_nat_lat, A, k1_binop_1(k1_nat_lat, B, C))=k1_binop_1(k1_nat_lat, k1_binop_1(k1_nat_lat, B, A), C) &  (k1_binop_1(k1_nat_lat, A, k1_binop_1(k1_nat_lat, B, C))=k1_binop_1(k1_nat_lat, k1_binop_1(k1_nat_lat, A, C), B) &  (k1_binop_1(k1_nat_lat, A, k1_binop_1(k1_nat_lat, B, C))=k1_binop_1(k1_nat_lat, k1_binop_1(k1_nat_lat, C, B), A) & k1_binop_1(k1_nat_lat, A, k1_binop_1(k1_nat_lat, B, C))=k1_binop_1(k1_nat_lat, k1_binop_1(k1_nat_lat, C, A), B)) ) ) ) ) ) ) ) ) ).
fof(t11_nat_lat, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k3_nat_lat)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_nat_lat)) =>  (k1_binop_1(k1_nat_lat, B, k1_binop_1(k2_nat_lat, B, A))=B &  (k1_binop_1(k1_nat_lat, k1_binop_1(k2_nat_lat, A, B), B)=B &  (k1_binop_1(k1_nat_lat, B, k1_binop_1(k2_nat_lat, A, B))=B & k1_binop_1(k1_nat_lat, k1_binop_1(k2_nat_lat, B, A), B)=B) ) ) ) ) ) ) ).
fof(t12_nat_lat, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k3_nat_lat)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_nat_lat)) =>  (k1_binop_1(k2_nat_lat, B, k1_binop_1(k1_nat_lat, B, A))=B &  (k1_binop_1(k2_nat_lat, k1_binop_1(k1_nat_lat, A, B), B)=B &  (k1_binop_1(k2_nat_lat, B, k1_binop_1(k1_nat_lat, A, B))=B & k1_binop_1(k2_nat_lat, k1_binop_1(k1_nat_lat, B, A), B)=B) ) ) ) ) ) ) ).
fof(d6_nat_lat, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k4_ordinal1)) =>  (A=k6_nat_lat <=>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, A) <=>  ~ (r1_xxreal_0(B, k5_numbers)) ) ) ) ) ) ) ).
fof(d7_nat_lat, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k7_nat_lat(A)=A) ) ) ).
fof(d8_nat_lat, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k6_nat_lat, k6_nat_lat), k6_nat_lat) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_nat_lat, k6_nat_lat), k6_nat_lat)))) )  =>  (A=k8_nat_lat <=>  (! [B] :  (m2_subset_1(B, k4_ordinal1, k6_nat_lat) =>  (! [C] :  (m2_subset_1(C, k4_ordinal1, k6_nat_lat) => k4_binop_1(k6_nat_lat, A, B, C)=k6_nat_d(B, C)) ) ) ) ) ) ) ).
fof(d9_nat_lat, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k6_nat_lat, k6_nat_lat), k6_nat_lat) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_nat_lat, k6_nat_lat), k6_nat_lat)))) )  =>  (A=k9_nat_lat <=>  (! [B] :  (m2_subset_1(B, k4_ordinal1, k6_nat_lat) =>  (! [C] :  (m2_subset_1(C, k4_ordinal1, k6_nat_lat) => k4_binop_1(k6_nat_lat, A, B, C)=k5_nat_d(B, C)) ) ) ) ) ) ) ).
fof(d10_nat_lat, axiom, k10_nat_lat=g3_lattices(k6_nat_lat, k9_nat_lat, k8_nat_lat)).
fof(d11_nat_lat, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k10_nat_lat)) => k11_nat_lat(A)=A) ) ).
fof(t13_nat_lat, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k10_nat_lat)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k10_nat_lat)) => k1_lattices(k10_nat_lat, A, B)=k5_nat_d(k11_nat_lat(A), k11_nat_lat(B))) ) ) ) ).
fof(t14_nat_lat, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k10_nat_lat)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k10_nat_lat)) => k2_lattices(k10_nat_lat, A, B)=k6_nat_d(k11_nat_lat(A), k11_nat_lat(B))) ) ) ) ).
fof(d12_nat_lat, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  (m2_nat_lat(B, A) <=>  (r1_tarski(u1_struct_0(B), u1_struct_0(A)) &  (u2_lattices(B)=k1_realset1(u2_lattices(A), u1_struct_0(B)) & u1_lattices(B)=k1_realset1(u1_lattices(A), u1_struct_0(B))) ) ) ) ) ) ) ).
fof(t15_nat_lat, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  => m2_nat_lat(A, A)) ) ).
fof(t16_nat_lat, axiom, m2_nat_lat(k10_nat_lat, k3_nat_lat)).
fof(dt_k1_nat_lat, axiom,  (v1_funct_1(k1_nat_lat) &  (v1_funct_2(k1_nat_lat, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_ordinal1) & m1_subset_1(k1_nat_lat, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_ordinal1)))) ) ).
fof(dt_k2_nat_lat, axiom,  (v1_funct_1(k2_nat_lat) &  (v1_funct_2(k2_nat_lat, k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_ordinal1) & m1_subset_1(k2_nat_lat, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k4_ordinal1)))) ) ).
fof(dt_k3_nat_lat, axiom,  ( ~ (v2_struct_0(k3_nat_lat))  &  (v3_lattices(k3_nat_lat) & l3_lattices(k3_nat_lat)) ) ).
fof(dt_k4_nat_lat, axiom, m1_subset_1(k4_nat_lat, u1_struct_0(k3_nat_lat))).
fof(dt_k5_nat_lat, axiom, m1_subset_1(k5_nat_lat, u1_struct_0(k3_nat_lat))).
fof(dt_k6_nat_lat, axiom, m1_subset_1(k6_nat_lat, k1_zfmisc_1(k4_ordinal1))).
fof(dt_m1_nat_lat, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A)))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(B))) ) )  =>  (! [D] :  (m1_nat_lat(D, A, B, C) => m2_subset_1(D, A, B)) ) ) ) ).
fof(existence_m1_nat_lat, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A)))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(B))) ) )  =>  (? [D] : m1_nat_lat(D, A, B, C)) ) ) ).
fof(redefinition_m1_nat_lat, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A)))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(B))) ) )  =>  (! [D] :  (m1_nat_lat(D, A, B, C) <=> m1_subset_1(D, C)) ) ) ) ).
fof(dt_k7_nat_lat, axiom,  (! [A] :  (v7_ordinal1(A) => m2_subset_1(k7_nat_lat(A), k4_ordinal1, k6_nat_lat)) ) ).
fof(dt_k8_nat_lat, axiom,  (v1_funct_1(k8_nat_lat) &  (v1_funct_2(k8_nat_lat, k2_zfmisc_1(k6_nat_lat, k6_nat_lat), k6_nat_lat) & m1_subset_1(k8_nat_lat, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_nat_lat, k6_nat_lat), k6_nat_lat)))) ) ).
fof(dt_k9_nat_lat, axiom,  (v1_funct_1(k9_nat_lat) &  (v1_funct_2(k9_nat_lat, k2_zfmisc_1(k6_nat_lat, k6_nat_lat), k6_nat_lat) & m1_subset_1(k9_nat_lat, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_nat_lat, k6_nat_lat), k6_nat_lat)))) ) ).
fof(dt_k10_nat_lat, axiom,  (v3_lattices(k10_nat_lat) & l3_lattices(k10_nat_lat)) ).
fof(dt_k11_nat_lat, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k10_nat_lat)) => m2_subset_1(k11_nat_lat(A), k4_ordinal1, k6_nat_lat)) ) ).
fof(dt_m2_nat_lat, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m2_nat_lat(B, A) =>  ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) ) ) ) ) ) ).
fof(existence_m2_nat_lat, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (? [B] : m2_nat_lat(B, A)) ) ) ).
fof(cc1_nattra_1, axiom,  (! [A] :  (l1_cat_1(A) =>  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & v4_nattra_1(A)) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v2_nattra_1(A) & v3_nattra_1(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(cc2_nattra_1, axiom,  (! [A] :  (l1_cat_1(A) =>  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v2_nattra_1(A) & v3_nattra_1(A)) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & v4_nattra_1(A)) ) ) ) ) ) ) ) ) ) ).
fof(fc1_nattra_1, axiom,  (! [A, B] :  (v1_cat_1(k3_cat_1(A, B)) & v4_nattra_1(k3_cat_1(A, B))) ) ).
fof(rc1_nattra_1, axiom,  (? [A] :  (l1_cat_1(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v14_struct_0(A) &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & v4_nattra_1(A)) ) ) ) ) ) ) ) ) ) ).
fof(fc2_nattra_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v4_nattra_1(A) & l1_cat_1(A)) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => v1_zfmisc_1(k2_cat_1(A, B, B))) ) ).
fof(cc3_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v4_nattra_1(A) & l1_cat_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m3_cat_2(B, A) => v4_nattra_1(B)) ) ) ) ).
fof(fc3_nattra_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v4_nattra_1(A) & l1_cat_1(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) &  (v4_nattra_1(B) & l1_cat_1(B)) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k6_cat_2(A, B)))  &  ( ~ (v11_struct_0(k6_cat_2(A, B)))  &  (v2_cat_1(k6_cat_2(A, B)) &  (v3_cat_1(k6_cat_2(A, B)) &  (v4_cat_1(k6_cat_2(A, B)) &  (v5_cat_1(k6_cat_2(A, B)) &  (v6_cat_1(k6_cat_2(A, B)) & v4_nattra_1(k6_cat_2(A, B))) ) ) ) ) ) ) ) ) ).
fof(fc4_nattra_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) &  (v4_nattra_1(B) & l1_cat_1(B)) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k9_nattra_1(A, B)))  &  ( ~ (v11_struct_0(k9_nattra_1(A, B)))  &  (v1_cat_1(k9_nattra_1(A, B)) &  (v2_cat_1(k9_nattra_1(A, B)) &  (v3_cat_1(k9_nattra_1(A, B)) &  (v4_cat_1(k9_nattra_1(A, B)) &  (v5_cat_1(k9_nattra_1(A, B)) &  (v6_cat_1(k9_nattra_1(A, B)) & v4_nattra_1(k9_nattra_1(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(rc2_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (? [B] :  (m3_cat_2(B, A) &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v14_struct_0(B) &  (v1_cat_1(B) &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & v4_nattra_1(B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc5_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (v1_cat_1(k10_nattra_1(A)) & v4_nattra_1(k10_nattra_1(A))) ) ) ).
fof(rc3_nattra_1, axiom,  (? [A] :  (l1_cat_1(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v14_struct_0(A) &  (v1_cat_1(A) &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & v4_nattra_1(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rd1_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_cat_1(A) &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v4_nattra_1(A) & l1_cat_1(A)) ) ) ) ) ) ) ) )  => k10_nattra_1(A)=A) ) ).
fof(t5_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r2_tarski(k8_cat_2(k6_cat_2(A, A), A, k8_cat_2(A, A, k4_cat_1(A, B), k4_cat_1(A, B)), k4_cat_1(A, B)), u1_cat_1(A))) ) ) ) ).
fof(t6_nattra_1, axiom,  (! [A] :  (! [B] : u1_cat_1(k3_cat_1(B, A))=k1_tarski(k4_tarski(k4_tarski(A, A), A))) ) ).
fof(t7_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => m3_cat_2(k3_cat_1(B, k4_cat_1(A, B)), A)) ) ) ) ).
fof(t8_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m3_cat_2(B, A) =>  (u1_graph_1(B)=k5_relat_1(u1_graph_1(A), u4_struct_0(B)) &  (u2_graph_1(B)=k5_relat_1(u2_graph_1(A), u4_struct_0(B)) & u1_cat_1(B)=k1_realset1(u1_cat_1(A), u4_struct_0(B))) ) ) ) ) ) ).
fof(t9_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u4_struct_0(A))))  =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, B) => r2_tarski(k4_cat_1(A, D), C)) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, C, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, B)))) )  =>  ( (r1_funct_2(C, B, C, u1_struct_0(A), D, k17_funct_3(u4_struct_0(A), u1_struct_0(A), u1_graph_1(A), C)) & r1_funct_2(C, B, C, u1_struct_0(A), E, k17_funct_3(u4_struct_0(A), u1_struct_0(A), u2_graph_1(A), C)))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, C), C))))  =>  (F=k1_realset1(u1_cat_1(A), C) => m3_cat_2(g1_cat_1(B, C, D, E, F), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_cat_1(A) &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_cat_1(B) & m3_cat_2(B, A))  =>  ( (u1_struct_0(B)=u1_struct_0(A) & u4_struct_0(B)=u4_struct_0(A))  => B=A) ) ) ) ) ).
fof(t11_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, B, C) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( ~ (k2_cat_1(A, F, G)=k1_xboole_0)  =>  (! [H] :  (m1_cat_1(H, A, F, G) => k9_cat_3(A, F, G, C, k9_cat_1(A, B, C, D, E), H)=k9_cat_3(B, k8_cat_1(A, B, D, F), k8_cat_1(A, B, D, G), C, E, k9_cat_3(A, F, G, B, D, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, A, B) =>  ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( ~ (k2_cat_1(A, E, F)=k1_xboole_0)  =>  (! [G] :  (m1_cat_1(G, A, E, F) => k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, G)=k3_funct_2(u4_struct_0(A), u4_struct_0(B), D, G)) ) ) ) ) ) )  => r2_funct_2(u4_struct_0(A), u4_struct_0(B), C, D)) ) ) ) ) ) ) ) ) ).
fof(t13_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( ( ~ (k2_cat_1(A, D, E)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, E, F)=k1_xboole_0)  &  ~ ( (! [G] :  (m1_cat_1(G, A, D, E) =>  (! [H] :  (m1_cat_1(H, A, E, F) => k9_cat_3(A, D, F, B, C, k5_cat_1(A, D, E, F, G, H))=k5_cat_1(B, k8_cat_1(A, B, C, D), k8_cat_1(A, B, C, E), k8_cat_1(A, B, C, F), k9_cat_3(A, D, E, B, C, G), k9_cat_3(A, E, F, B, C, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (k9_cat_3(A, D, D, B, C, k4_cat_1(A, D))=k4_cat_1(B, E) => k8_cat_1(A, B, C, D)=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k9_cat_3(A, D, D, B, C, k4_cat_1(A, D))=k4_cat_1(B, k8_cat_1(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t16_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (k2_cat_1(A, B, C)=k1_xboole_0)  =>  (! [D] :  (m1_cat_1(D, A, B, C) => k9_cat_3(A, B, C, A, k10_cat_1(A), D)=D) ) ) ) ) ) ) ) ) ).
fof(t17_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( ~ (r1_xboole_0(k2_cat_1(A, B, C), k2_cat_1(A, D, E)))  =>  (B=D & C=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, A, B) =>  (r1_nattra_1(A, B, C, D) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ (k2_cat_1(B, k8_cat_1(A, B, C, E), k8_cat_1(A, B, D, E))=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, A, B) =>  ( (r1_nattra_1(A, B, C, D) & r1_nattra_1(A, B, D, E))  => r1_nattra_1(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, A, B) =>  (r1_nattra_1(A, B, C, D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u4_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u4_struct_0(B))))) )  =>  (m1_nattra_1(E, A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => m1_cat_1(k3_funct_2(u1_struct_0(A), u4_struct_0(B), E, F), B, k8_cat_1(A, B, C, F), k8_cat_1(A, B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m1_nattra_1(D, A, B, C, C) =>  (D=k1_nattra_1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u4_struct_0(B), D, E)=k4_cat_1(B, k8_cat_1(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, A, B) =>  (r1_nattra_1(A, B, C, D) =>  (! [E] :  (m1_nattra_1(E, A, B, C, D) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => k2_nattra_1(A, B, C, D, E, F)=k3_funct_2(u1_struct_0(A), u4_struct_0(B), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, A, B) =>  ( (r1_nattra_1(A, B, C, D) & r1_nattra_1(A, B, D, E))  =>  (! [F] :  (m1_nattra_1(F, A, B, C, D) =>  (! [G] :  (m1_nattra_1(G, A, B, D, E) =>  (! [H] :  (m1_nattra_1(H, A, B, C, E) =>  (H=k3_nattra_1(A, B, C, D, E, F, G) <=>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) => k2_nattra_1(A, B, C, E, H, I)=k5_cat_1(B, k8_cat_1(A, B, C, I), k8_cat_1(A, B, D, I), k8_cat_1(A, B, E, I), k2_nattra_1(A, B, C, D, F, I), k2_nattra_1(A, B, D, E, G, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, A, B) =>  (r1_nattra_1(A, B, C, D) =>  (! [E] :  (m1_nattra_1(E, A, B, C, D) =>  (! [F] :  (m1_nattra_1(F, A, B, C, D) =>  ( (! [G] :  (m1_subset_1(G, u1_struct_0(A)) => k2_nattra_1(A, B, C, D, E, G)=k2_nattra_1(A, B, C, D, F, G)) )  => r2_funct_2(u1_struct_0(A), u4_struct_0(B), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_nattra_1(A, B, C, C, k1_nattra_1(A, B, C), D)=k4_cat_1(B, k8_cat_1(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t21_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, A, B) =>  (r1_nattra_1(A, B, C, D) =>  (! [E] :  (m1_nattra_1(E, A, B, C, D) =>  (r2_funct_2(u1_struct_0(A), u4_struct_0(B), k3_nattra_1(A, B, C, D, D, E, k1_nattra_1(A, B, D)), E) & r2_funct_2(u1_struct_0(A), u4_struct_0(B), k3_nattra_1(A, B, C, C, D, k1_nattra_1(A, B, C), E), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, A, B) =>  (! [F] :  (m2_cat_1(F, A, B) =>  ( (r1_nattra_1(A, B, C, D) &  (r1_nattra_1(A, B, D, E) & r1_nattra_1(A, B, E, F)) )  =>  (! [G] :  (m1_nattra_1(G, A, B, C, D) =>  (! [H] :  (m1_nattra_1(H, A, B, D, E) =>  (! [I] :  (m1_nattra_1(I, A, B, E, F) => r2_funct_2(u1_struct_0(A), u4_struct_0(B), k3_nattra_1(A, B, C, D, F, G, k3_nattra_1(A, B, D, E, F, H, I)), k3_nattra_1(A, B, C, E, F, k3_nattra_1(A, B, C, D, E, G, H), I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, A, B) =>  (r2_nattra_1(A, B, C, D) <=>  (r1_nattra_1(A, B, C, D) &  (? [E] :  (m1_nattra_1(E, A, B, C, D) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( ~ (k2_cat_1(A, F, G)=k1_xboole_0)  =>  (! [H] :  (m1_cat_1(H, A, F, G) => k5_cat_1(B, k8_cat_1(A, B, C, F), k8_cat_1(A, B, C, G), k8_cat_1(A, B, D, G), k9_cat_3(A, F, G, B, C, H), k2_nattra_1(A, B, C, D, E, G))=k5_cat_1(B, k8_cat_1(A, B, C, F), k8_cat_1(A, B, D, F), k8_cat_1(A, B, D, G), k2_nattra_1(A, B, C, D, E, F), k9_cat_3(A, F, G, B, D, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, A, B) =>  ( (r2_nattra_1(A, B, C, D) & r2_nattra_1(A, B, D, E))  => r2_nattra_1(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, A, B) =>  (r2_nattra_1(A, B, C, D) =>  (! [E] :  (m1_nattra_1(E, A, B, C, D) =>  (m2_nattra_1(E, A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( ~ (k2_cat_1(A, F, G)=k1_xboole_0)  =>  (! [H] :  (m1_cat_1(H, A, F, G) => k5_cat_1(B, k8_cat_1(A, B, C, F), k8_cat_1(A, B, C, G), k8_cat_1(A, B, D, G), k9_cat_3(A, F, G, B, C, H), k2_nattra_1(A, B, C, D, E, G))=k5_cat_1(B, k8_cat_1(A, B, C, F), k8_cat_1(A, B, D, F), k8_cat_1(A, B, D, G), k2_nattra_1(A, B, C, D, E, F), k9_cat_3(A, F, G, B, D, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, A, B) =>  ( (r2_nattra_1(A, B, C, D) & r2_nattra_1(A, B, D, E))  =>  (! [F] :  (m2_nattra_1(F, A, B, C, D) =>  (! [G] :  (m2_nattra_1(G, A, B, D, E) => k5_nattra_1(A, B, C, D, E, F, G)=k3_nattra_1(A, B, C, D, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, A, B) =>  (r2_nattra_1(A, B, C, D) =>  (! [E] :  (m2_nattra_1(E, A, B, C, D) =>  (r2_funct_2(u1_struct_0(A), u4_struct_0(B), k5_nattra_1(A, B, C, D, D, E, k4_nattra_1(A, B, D)), E) & r2_funct_2(u1_struct_0(A), u4_struct_0(B), k5_nattra_1(A, B, C, C, D, k4_nattra_1(A, B, C), E), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, A, B) =>  ( (r2_nattra_1(A, B, C, D) & r2_nattra_1(A, B, D, E))  =>  (! [F] :  (m2_nattra_1(F, A, B, C, D) =>  (! [G] :  (m2_nattra_1(G, A, B, D, E) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) => k2_nattra_1(A, B, C, E, k5_nattra_1(A, B, C, D, E, F, G), H)=k5_cat_1(B, k8_cat_1(A, B, C, H), k8_cat_1(A, B, D, H), k8_cat_1(A, B, E, H), k2_nattra_1(A, B, C, D, F, H), k2_nattra_1(A, B, D, E, G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, A, B) =>  (! [F] :  (m2_cat_1(F, A, B) =>  (! [G] :  (m2_nattra_1(G, A, B, C, D) =>  (! [H] :  (m2_nattra_1(H, A, B, D, E) =>  ( (r2_nattra_1(A, B, C, D) &  (r2_nattra_1(A, B, D, E) & r2_nattra_1(A, B, E, F)) )  =>  (! [I] :  (m2_nattra_1(I, A, B, E, F) => r2_funct_2(u1_struct_0(A), u4_struct_0(B), k5_nattra_1(A, B, C, D, F, G, k5_nattra_1(A, B, D, E, F, H, I)), k5_nattra_1(A, B, C, E, F, k5_nattra_1(A, B, C, D, E, G, H), I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m1_nattra_1(E, A, B, C, D) =>  (v1_nattra_1(E, A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => v9_cat_1(k2_nattra_1(A, B, C, D, E, F), B, k8_cat_1(A, B, C, F), k8_cat_1(A, B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, A, B) =>  (r3_nattra_1(A, B, C, D) <=>  (r2_nattra_1(A, B, C, D) &  (? [E] :  (m2_nattra_1(E, A, B, C, D) & v1_nattra_1(E, A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, A, B) =>  (r1_nattra_1(A, B, C, D) =>  (! [E] :  (m1_nattra_1(E, A, B, C, D) =>  (v1_nattra_1(E, A, B, C, D) =>  (! [F] :  (m1_nattra_1(F, A, B, D, C) =>  (F=k6_nattra_1(A, B, C, D, E) <=>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) => k2_nattra_1(A, B, D, C, F, G)=k6_cat_1(B, k8_cat_1(A, B, C, G), k8_cat_1(A, B, D, G), k2_nattra_1(A, B, C, D, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_nattra_1(E, A, B, C, D) =>  ( (r2_nattra_1(A, B, C, D) & v1_nattra_1(E, A, B, C, D))  => k7_nattra_1(A, B, C, D, E)=k6_nattra_1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_nattra_1(E, A, B, C, D) =>  ( (r2_nattra_1(A, B, C, D) & v1_nattra_1(E, A, B, C, D))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => k2_nattra_1(A, B, D, C, k7_nattra_1(A, B, C, D, E), F)=k6_cat_1(B, k8_cat_1(A, B, C, F), k8_cat_1(A, B, D, F), k2_nattra_1(A, B, C, D, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, A, B) =>  (r3_nattra_1(A, B, C, D) => r3_nattra_1(A, B, D, C)) ) ) ) ) ) ) ) ) ).
fof(t29_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, A, B) =>  ( (r3_nattra_1(A, B, C, D) & r3_nattra_1(A, B, D, E))  => r3_nattra_1(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, A, B) =>  (r3_nattra_1(A, B, C, D) =>  (! [E] :  (m2_nattra_1(E, A, B, C, D) =>  (m3_nattra_1(E, A, B, C, D) <=> v1_nattra_1(E, A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) => m3_nattra_1(k4_nattra_1(A, B, C), A, B, C, C)) ) ) ) ) ) ).
fof(t31_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, A, B) =>  ( (r3_nattra_1(A, B, C, D) & r3_nattra_1(A, B, D, E))  =>  (! [F] :  (m3_nattra_1(F, A, B, C, D) =>  (! [G] :  (m3_nattra_1(G, A, B, D, E) => m3_nattra_1(k5_nattra_1(A, B, C, D, E, F, G), A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (m4_nattra_1(C, A, B) <=>  (! [D] :  ~ ( (r2_tarski(D, C) &  (! [E] :  (m2_cat_1(E, A, B) =>  (! [F] :  (m2_cat_1(F, A, B) =>  (! [G] :  (m2_nattra_1(G, A, B, E, F) =>  ~ ( (D=k4_tarski(k4_tarski(E, F), G) & r2_nattra_1(A, B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m4_nattra_1(C, A, B) =>  (C=k8_nattra_1(A, B) <=>  (! [D] :  (r2_tarski(D, C) <=>  (? [E] :  (m2_cat_1(E, A, B) &  (? [F] :  (m2_cat_1(F, A, B) &  (? [G] :  (m2_nattra_1(G, A, B, E, F) &  (D=k4_tarski(k4_tarski(E, F), G) & r2_nattra_1(A, B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_nattra_1(E, A, B, C, D) =>  (r2_nattra_1(A, B, C, D) <=> r2_hidden(k4_tarski(k4_tarski(C, D), E), k8_nattra_1(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v1_cat_1(C) &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) ) )  =>  (C=k9_nattra_1(A, B) <=>  (u1_struct_0(C)=k4_cat_2(A, B) &  (u4_struct_0(C)=k8_nattra_1(A, B) &  ( (! [D] :  (m1_subset_1(D, u4_struct_0(C)) =>  (k3_graph_1(C, D)=k1_xtuple_0(k1_xtuple_0(D)) & k4_graph_1(C, D)=k2_xtuple_0(k1_xtuple_0(D))) ) )  &  ( (! [D] :  (m1_subset_1(D, u4_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(C)) =>  (k3_graph_1(C, E)=k4_graph_1(C, D) => r2_tarski(k8_cat_2(C, C, E, D), k9_xtuple_0(u1_cat_1(C)))) ) ) ) )  &  ( (! [D] :  (m1_subset_1(D, u4_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(C)) =>  ~ ( (r2_tarski(k8_cat_2(C, C, E, D), k9_xtuple_0(u1_cat_1(C))) &  (! [F] :  (m2_cat_1(F, A, B) =>  (! [G] :  (m2_cat_1(G, A, B) =>  (! [H] :  (m2_cat_1(H, A, B) =>  (! [I] :  (m2_nattra_1(I, A, B, F, G) =>  (! [J] :  (m2_nattra_1(J, A, B, G, H) =>  ~ ( (D=k4_tarski(k4_tarski(F, G), I) &  (E=k4_tarski(k4_tarski(G, H), J) & k1_funct_1(u1_cat_1(C), k8_cat_2(C, C, E, D))=k4_tarski(k4_tarski(F, H), k5_nattra_1(A, B, F, G, H, I, J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m2_cat_1(E, A, B) =>  (E=D => k4_cat_1(C, D)=k4_tarski(k4_tarski(E, E), k4_nattra_1(A, B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_nattra_1(E, A, B, C, D) =>  (! [F] :  (m1_subset_1(F, u4_struct_0(k9_nattra_1(A, B))) =>  (F=k4_tarski(k4_tarski(C, D), E) =>  (k3_graph_1(k9_nattra_1(A, B), F)=C & k4_graph_1(k9_nattra_1(A, B), F)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_nattra_1(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_nattra_1(A, B))) =>  (! [E] :  (m1_cat_1(E, k9_nattra_1(A, B), C, D) =>  ~ ( ( ~ (k2_cat_1(k9_nattra_1(A, B), C, D)=k1_xboole_0)  &  (! [F] :  (m2_cat_1(F, A, B) =>  (! [G] :  (m2_cat_1(G, A, B) =>  (! [H] :  (m2_nattra_1(H, A, B, F, G) =>  ~ ( (C=F &  (D=G & E=k4_tarski(k4_tarski(F, G), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, A, B) =>  (! [F] :  (m2_cat_1(F, A, B) =>  (! [G] :  (m2_nattra_1(G, A, B, C, D) =>  (! [H] :  (m2_nattra_1(H, A, B, E, F) =>  (! [I] :  (m1_subset_1(I, u4_struct_0(k9_nattra_1(A, B))) =>  (! [J] :  (m1_subset_1(J, u4_struct_0(k9_nattra_1(A, B))) =>  ( (I=k4_tarski(k4_tarski(C, D), G) & J=k4_tarski(k4_tarski(E, F), H))  =>  (r2_tarski(k8_cat_2(k9_nattra_1(A, B), k9_nattra_1(A, B), J, I), k9_xtuple_0(u1_cat_1(k9_nattra_1(A, B)))) <=> r2_funct_2(u4_struct_0(A), u4_struct_0(B), D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m2_cat_1(D, A, B) =>  (! [E] :  (m2_cat_1(E, A, B) =>  (! [F] :  (m2_nattra_1(F, A, B, C, D) =>  (! [G] :  (m2_nattra_1(G, A, B, D, E) =>  (! [H] :  (m1_subset_1(H, u4_struct_0(k9_nattra_1(A, B))) =>  (! [I] :  (m1_subset_1(I, u4_struct_0(k9_nattra_1(A, B))) =>  ( (H=k4_tarski(k4_tarski(C, D), F) & I=k4_tarski(k4_tarski(D, E), G))  => k1_cat_1(k9_nattra_1(A, B), H, I)=k4_tarski(k4_tarski(C, E), k5_nattra_1(A, B, C, D, E, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (v2_nattra_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (k2_cat_1(A, B, C)=k1_xboole_0)  => B=C) ) ) ) ) ) ) ) ).
fof(d19_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (v3_nattra_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v1_zfmisc_1(k2_cat_1(A, B, B))) ) ) ) ) ).
fof(d20_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (v4_nattra_1(A) <=>  (v2_nattra_1(A) & v3_nattra_1(A)) ) ) ) ).
fof(t37_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v4_nattra_1(A) & l1_cat_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_cat_1(A, B, B)=k1_tarski(k4_cat_1(A, B))) ) ) ) ).
fof(t41_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v4_nattra_1(A) & l1_cat_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, B, A) =>  (! [D] :  (m2_cat_1(D, B, A) =>  (r1_nattra_1(B, A, C, D) => r2_funct_2(u4_struct_0(B), u4_struct_0(A), C, D)) ) ) ) ) ) ) ) ) ).
fof(t42_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) &  (v4_nattra_1(A) & l1_cat_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, B, A) =>  (! [D] :  (m1_nattra_1(D, B, A, C, C) => r2_funct_2(u1_struct_0(B), u4_struct_0(A), D, k4_nattra_1(B, A, C))) ) ) ) ) ) ) ) ).
fof(t47_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  => k10_nattra_1(k6_cat_2(A, B))=k6_cat_2(k10_nattra_1(A), k10_nattra_1(B))) ) ) ) ).
fof(reflexivity_r1_nattra_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  (m2_cat_1(C, A, B) & m2_cat_1(D, A, B)) ) )  => r1_nattra_1(A, B, C, C)) ) ).
fof(dt_m1_nattra_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  (m2_cat_1(C, A, B) & m2_cat_1(D, A, B)) ) )  =>  (! [E] :  (m1_nattra_1(E, A, B, C, D) =>  (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u4_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u4_struct_0(B))))) ) ) ) ) ) ).
fof(existence_m1_nattra_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  (m2_cat_1(C, A, B) & m2_cat_1(D, A, B)) ) )  =>  (? [E] : m1_nattra_1(E, A, B, C, D)) ) ) ).
fof(dt_k1_nattra_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  & m2_cat_1(C, A, B)) )  => m1_nattra_1(k1_nattra_1(A, B, C), A, B, C, C)) ) ).
fof(dt_k2_nattra_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  (m2_cat_1(C, A, B) &  (m2_cat_1(D, A, B) &  (m1_nattra_1(E, A, B, C, D) & m1_subset_1(F, u1_struct_0(A))) ) ) ) )  => m1_cat_1(k2_nattra_1(A, B, C, D, E, F), B, k8_cat_1(A, B, C, F), k8_cat_1(A, B, D, F))) ) ).
fof(dt_k3_nattra_1, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  (m2_cat_1(C, A, B) &  (m2_cat_1(D, A, B) &  (m2_cat_1(E, A, B) &  (m1_nattra_1(F, A, B, C, D) & m1_nattra_1(G, A, B, D, E)) ) ) ) ) )  => m1_nattra_1(k3_nattra_1(A, B, C, D, E, F, G), A, B, C, E)) ) ).
fof(reflexivity_r2_nattra_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  (m2_cat_1(C, A, B) & m2_cat_1(D, A, B)) ) )  => r2_nattra_1(A, B, C, C)) ) ).
fof(dt_m2_nattra_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  (m2_cat_1(C, A, B) & m2_cat_1(D, A, B)) ) )  =>  (! [E] :  (m2_nattra_1(E, A, B, C, D) => m1_nattra_1(E, A, B, C, D)) ) ) ) ).
fof(existence_m2_nattra_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  (m2_cat_1(C, A, B) & m2_cat_1(D, A, B)) ) )  =>  (? [E] : m2_nattra_1(E, A, B, C, D)) ) ) ).
fof(dt_k4_nattra_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  & m2_cat_1(C, A, B)) )  => m2_nattra_1(k4_nattra_1(A, B, C), A, B, C, C)) ) ).
fof(redefinition_k4_nattra_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  & m2_cat_1(C, A, B)) )  => k4_nattra_1(A, B, C)=k1_nattra_1(A, B, C)) ) ).
fof(dt_k5_nattra_1, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  (m2_cat_1(C, A, B) &  (m2_cat_1(D, A, B) &  (m2_cat_1(E, A, B) &  (m2_nattra_1(F, A, B, C, D) & m2_nattra_1(G, A, B, D, E)) ) ) ) ) )  => m2_nattra_1(k5_nattra_1(A, B, C, D, E, F, G), A, B, C, E)) ) ).
fof(reflexivity_r3_nattra_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  (m2_cat_1(C, A, B) & m2_cat_1(D, A, B)) ) )  => r3_nattra_1(A, B, C, C)) ) ).
fof(dt_k6_nattra_1, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  (m2_cat_1(C, A, B) &  (m2_cat_1(D, A, B) & m1_nattra_1(E, A, B, C, D)) ) ) )  => m1_nattra_1(k6_nattra_1(A, B, C, D, E), A, B, D, C)) ) ).
fof(dt_k7_nattra_1, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  (m2_cat_1(C, A, B) &  (m2_cat_1(D, A, B) & m2_nattra_1(E, A, B, C, D)) ) ) )  => m2_nattra_1(k7_nattra_1(A, B, C, D, E), A, B, D, C)) ) ).
fof(dt_m3_nattra_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  (m2_cat_1(C, A, B) & m2_cat_1(D, A, B)) ) )  =>  (! [E] :  (m3_nattra_1(E, A, B, C, D) => m2_nattra_1(E, A, B, C, D)) ) ) ) ).
fof(existence_m3_nattra_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  (m2_cat_1(C, A, B) & m2_cat_1(D, A, B)) ) )  =>  (? [E] : m3_nattra_1(E, A, B, C, D)) ) ) ).
fof(dt_m4_nattra_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) ) )  =>  (! [C] :  (m4_nattra_1(C, A, B) =>  ~ (v1_xboole_0(C)) ) ) ) ) ).
fof(existence_m4_nattra_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) ) )  =>  (? [C] : m4_nattra_1(C, A, B)) ) ) ).
fof(dt_k8_nattra_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) ) )  => m4_nattra_1(k8_nattra_1(A, B), A, B)) ) ).
fof(dt_k9_nattra_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k9_nattra_1(A, B)))  &  ( ~ (v11_struct_0(k9_nattra_1(A, B)))  &  (v1_cat_1(k9_nattra_1(A, B)) &  (v2_cat_1(k9_nattra_1(A, B)) &  (v3_cat_1(k9_nattra_1(A, B)) &  (v4_cat_1(k9_nattra_1(A, B)) &  (v5_cat_1(k9_nattra_1(A, B)) &  (v6_cat_1(k9_nattra_1(A, B)) & l1_cat_1(k9_nattra_1(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(dt_k10_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (v1_cat_1(k10_nattra_1(A)) & m3_cat_2(k10_nattra_1(A), A)) ) ) ).
fof(d21_nattra_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_cat_1(B) & m3_cat_2(B, A))  =>  (B=k10_nattra_1(A) <=>  (u1_struct_0(B)=u1_struct_0(A) & u4_struct_0(B)=a_1_0_nattra_1(A)) ) ) ) ) ) ).
fof(fraenkel_a_1_0_nattra_1, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (r2_hidden(A, a_1_0_nattra_1(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(B)) & A=k4_cat_1(B, C)) ) ) ) ) ).
fof(fc1_nbvectsp, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  ( ~ (v2_struct_0(k3_nbvectsp(A)))  &  (v8_algstr_0(k3_nbvectsp(A)) &  (v13_algstr_0(k3_nbvectsp(A)) &  (v2_rlvect_1(k3_nbvectsp(A)) &  (v3_rlvect_1(k3_nbvectsp(A)) & v4_rlvect_1(k3_nbvectsp(A))) ) ) ) ) ) ) ).
fof(cc1_nbvectsp, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_bspace)) => v1_xboolean(A)) ) ).
fof(ie1_nbvectsp, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k2_bspace)) & m1_subset_1(B, u1_struct_0(k2_bspace)))  => k3_rlvect_1(k2_bspace, A, B)=k10_xboolean(A, B)) ) ).
fof(ie2_nbvectsp, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k2_bspace)) & m1_subset_1(B, u1_struct_0(k2_bspace)))  => k8_group_1(k2_bspace, A, B)=k4_xboolean(A, B)) ) ).
fof(fc2_nbvectsp, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  ( ~ (v2_struct_0(k5_nbvectsp(A)))  &  (v8_struct_0(k5_nbvectsp(A)) &  (v13_algstr_0(k5_nbvectsp(A)) &  (v2_rlvect_1(k5_nbvectsp(A)) &  (v3_rlvect_1(k5_nbvectsp(A)) &  (v4_rlvect_1(k5_nbvectsp(A)) &  (v8_vectsp_1(k5_nbvectsp(A), k2_bspace) &  (v9_vectsp_1(k5_nbvectsp(A), k2_bspace) &  (v10_vectsp_1(k5_nbvectsp(A), k2_bspace) & v11_vectsp_1(k5_nbvectsp(A), k2_bspace)) ) ) ) ) ) ) ) ) ) ) ).
fof(cc2_nbvectsp, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_vectsp_4(B, k2_bspace, k5_nbvectsp(A)) => v8_struct_0(B)) ) ) ) ).
fof(fc3_nbvectsp, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  ( ~ (v2_struct_0(k5_nbvectsp(A)))  &  (v13_algstr_0(k5_nbvectsp(A)) &  (v2_rlvect_1(k5_nbvectsp(A)) &  (v3_rlvect_1(k5_nbvectsp(A)) &  (v4_rlvect_1(k5_nbvectsp(A)) &  (v8_vectsp_1(k5_nbvectsp(A), k2_bspace) &  (v9_vectsp_1(k5_nbvectsp(A), k2_bspace) &  (v10_vectsp_1(k5_nbvectsp(A), k2_bspace) &  (v11_vectsp_1(k5_nbvectsp(A), k2_bspace) & v1_matrlin(k5_nbvectsp(A), k2_bspace)) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_nbvectsp, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m2_finseq_2(B, k5_margrel1, k4_finseq_2(A, k5_margrel1)) =>  (! [C] :  (m2_finseq_2(C, k5_margrel1, k4_finseq_2(A, k5_margrel1)) =>  (! [D] :  (m2_finseq_2(D, k5_margrel1, k4_finseq_2(A, k5_margrel1)) => k11_descip_1(A, k11_descip_1(A, B, C), D)=k11_descip_1(A, B, k11_descip_1(A, C, D))) ) ) ) ) ) ) ) ).
fof(d1_nbvectsp, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_finseq_2(A, k5_margrel1), k4_finseq_2(A, k5_margrel1)), k4_finseq_2(A, k5_margrel1)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A, k5_margrel1), k4_finseq_2(A, k5_margrel1)), k4_finseq_2(A, k5_margrel1))))) )  =>  (B=k1_nbvectsp(A) <=>  (! [C] :  (m2_finseq_2(C, k5_margrel1, k4_finseq_2(A, k5_margrel1)) =>  (! [D] :  (m2_finseq_2(D, k5_margrel1, k4_finseq_2(A, k5_margrel1)) => k4_binop_1(k4_finseq_2(A, k5_margrel1), B, C, D)=k11_descip_1(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(d2_nbvectsp, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  => k2_nbvectsp(A)=k5_finseq_2(k4_ordinal1, A, k5_numbers)) ) ).
fof(d3_nbvectsp, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  => k3_nbvectsp(A)=g2_algstr_0(k4_finseq_2(A, k5_margrel1), k1_nbvectsp(A), k2_nbvectsp(A))) ) ).
fof(t2_nbvectsp, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m2_finseq_2(B, k5_margrel1, k4_finseq_2(A, k5_margrel1)) => k11_descip_1(A, B, k2_nbvectsp(A))=B) ) ) ) ).
fof(t3_nbvectsp, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m2_finseq_2(B, k5_margrel1, k4_finseq_2(A, k5_margrel1)) => k11_descip_1(A, B, B)=k2_nbvectsp(A)) ) ) ) ).
fof(d4_nbvectsp, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(k2_bspace), k4_finseq_2(A, k5_margrel1)), k4_finseq_2(A, k5_margrel1)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_bspace), k4_finseq_2(A, k5_margrel1)), k4_finseq_2(A, k5_margrel1))))) )  =>  (B=k4_nbvectsp(A) <=>  (! [C] :  (m1_subset_1(C, k5_margrel1) =>  (! [D] :  (m2_finseq_2(D, k5_margrel1, k4_finseq_2(A, k5_margrel1)) =>  (! [E] :  (r2_tarski(E, k2_finseq_1(A)) => k1_funct_1(k1_binop_1(B, C, D), E)=k4_xboolean(C, k1_funct_1(D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_nbvectsp, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  => k5_nbvectsp(A)=g1_vectsp_1(k2_bspace, k4_finseq_2(A, k5_margrel1), k1_nbvectsp(A), k2_nbvectsp(A), k4_nbvectsp(A))) ) ).
fof(t4_nbvectsp, axiom,  (! [A] :  (v7_ordinal1(A) => k4_rlvect_1(k2_bspace, k5_finseq_2(u1_struct_0(k2_bspace), A, k4_struct_0(k2_bspace)))=k4_struct_0(k2_bspace)) ) ).
fof(t5_nbvectsp, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k2_bspace)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_bspace)) =>  (! [D] :  (v7_ordinal1(D) =>  ( (k3_finseq_1(B)=A &  (r2_tarski(D, k2_finseq_1(A)) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k2_finseq_1(A)) =>  ( (E=D => k1_funct_1(B, E)=C)  &  ( ~ (E=D)  => k1_funct_1(B, E)=k4_struct_0(k2_bspace)) ) ) ) ) ) )  => k4_rlvect_1(k2_bspace, B)=C) ) ) ) ) ) ) ) ) ).
fof(t6_nbvectsp, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, u1_struct_0(k5_nbvectsp(B))) &  (v1_funct_1(C) & v1_finseq_1(C)) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (k3_finseq_1(C)=A &  (r1_xxreal_0(A, B) &  (r2_tarski(D, k2_finseq_1(B)) &  (! [E] :  (m2_finseq_1(E, u1_struct_0(k2_bspace)) =>  ~ ( (k3_finseq_1(E)=A &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r2_tarski(F, k2_finseq_1(A)) &  (! [G] :  (m2_finseq_2(G, k5_margrel1, k4_finseq_2(B, k5_margrel1)) =>  ~ ( (G=k1_funct_1(C, F) & k1_funct_1(E, F)=k10_descip_1(B, G, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_nbvectsp, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, u1_struct_0(k5_nbvectsp(B))) &  (v1_funct_1(C) & v1_finseq_1(C)) ) )  =>  (! [D] :  (m2_finseq_2(D, k5_margrel1, k4_finseq_2(B, k5_margrel1)) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (k3_finseq_1(C)=A &  (r1_xxreal_0(A, B) &  (D=k4_rlvect_1(k5_nbvectsp(B), C) &  (r2_tarski(E, k2_finseq_1(B)) &  (! [F] :  (m2_finseq_1(F, u1_struct_0(k2_bspace)) =>  ~ ( (k3_finseq_1(F)=A &  (k10_descip_1(B, D, E)=k4_rlvect_1(k2_bspace, F) &  (! [G] :  (v7_ordinal1(G) =>  ~ ( (r2_tarski(G, k2_finseq_1(A)) &  (! [H] :  (m2_finseq_2(H, k5_margrel1, k4_finseq_2(B, k5_margrel1)) =>  ~ ( (H=k1_funct_1(C, G) & k1_funct_1(F, G)=k10_descip_1(B, H, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_nbvectsp, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  ~ ( (r1_xxreal_0(A, B) &  (! [C] :  (m2_finseq_1(C, k4_finseq_2(B, k5_margrel1)) =>  ~ ( (k3_finseq_1(C)=A &  (v2_funct_1(C) &  (k4_card_1(k2_relset_1(k4_finseq_2(B, k5_margrel1), C))=A &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(D, k2_finseq_1(A)) & r2_tarski(E, k2_finseq_1(B)))  =>  ( (D=E => k1_funct_1(k1_funct_1(C, D), E)=k7_margrel1)  &  ( ~ (D=E)  => k1_funct_1(k1_funct_1(C, D), E)=k6_margrel1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_nbvectsp, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  (m2_finseq_1(C, k4_finseq_2(B, k5_margrel1)) =>  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k5_nbvectsp(B)))))  =>  (! [E] :  (m2_vectsp_6(E, k2_bspace, k5_nbvectsp(B), D) =>  (! [F] :  (m2_finseq_2(F, k5_margrel1, k4_finseq_2(B, k5_margrel1)) =>  ( (k2_relset_1(k4_finseq_2(B, k5_margrel1), C)=D &  (r1_xxreal_0(A, B) &  (k3_finseq_1(C)=A &  (F=k4_vectsp_6(k2_bspace, k5_nbvectsp(B), E) &  (v2_funct_1(C) &  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (v7_ordinal1(H) =>  ( (r2_tarski(G, k2_finseq_1(B)) & r2_tarski(H, k2_finseq_1(A)))  =>  ( (G=H => k1_funct_1(k1_funct_1(C, G), H)=k7_margrel1)  &  ( ~ (G=H)  => k1_funct_1(k1_funct_1(C, G), H)=k6_margrel1) ) ) ) ) ) ) ) ) ) ) )  =>  (! [G] :  (v7_ordinal1(G) =>  (r2_tarski(G, k2_finseq_1(A)) => k10_descip_1(B, F, G)=k1_funct_1(E, k1_funct_1(C, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_nbvectsp, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  (m2_finseq_1(C, k4_finseq_2(B, k5_margrel1)) =>  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k5_nbvectsp(B)))))  =>  ( (k2_relset_1(k4_finseq_2(B, k5_margrel1), C)=D &  (r1_xxreal_0(A, B) &  (k3_finseq_1(C)=A &  (v2_funct_1(C) &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r2_tarski(E, k2_finseq_1(B)) & r2_tarski(F, k2_finseq_1(A)))  =>  ( (E=F => k1_funct_1(k1_funct_1(C, E), F)=k7_margrel1)  &  ( ~ (E=F)  => k1_funct_1(k1_funct_1(C, E), F)=k6_margrel1) ) ) ) ) ) ) ) ) ) )  => v1_vectsp_7(D, k2_bspace, k5_nbvectsp(B))) ) ) ) ) ) ) ) ) ).
fof(t11_nbvectsp, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m2_finseq_1(B, k4_finseq_2(A, k5_margrel1)) =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k5_nbvectsp(A)))))  =>  (! [D] :  (m2_finseq_2(D, k5_margrel1, k4_finseq_2(A, k5_margrel1)) =>  ~ ( (k2_relset_1(k4_finseq_2(A, k5_margrel1), B)=C &  (k3_finseq_1(B)=A &  (v2_funct_1(B) &  (! [E] :  (m2_vectsp_6(E, k2_bspace, k5_nbvectsp(A), C) =>  (? [F] :  (v7_ordinal1(F) &  (r2_tarski(F, k2_finseq_1(A)) &  ~ (k10_descip_1(A, D, F)=k1_funct_1(E, k1_funct_1(B, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_nbvectsp, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m2_finseq_1(B, k4_finseq_2(A, k5_margrel1)) =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k5_nbvectsp(A)))))  =>  ( (k2_relset_1(k4_finseq_2(A, k5_margrel1), B)=C &  (k3_finseq_1(B)=A &  (v2_funct_1(B) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(D, k2_finseq_1(A)) & r2_tarski(E, k2_finseq_1(A)))  =>  ( (D=E => k1_funct_1(k1_funct_1(B, D), E)=k7_margrel1)  &  ( ~ (D=E)  => k1_funct_1(k1_funct_1(B, D), E)=k6_margrel1) ) ) ) ) ) ) ) ) )  => k1_vectsp_7(k2_bspace, k5_nbvectsp(A), C)=g1_vectsp_1(k2_bspace, u1_struct_0(k5_nbvectsp(A)), u1_algstr_0(k5_nbvectsp(A)), u2_struct_0(k5_nbvectsp(A)), u1_vectsp_1(k2_bspace, k5_nbvectsp(A)))) ) ) ) ) ) ) ).
fof(t13_nbvectsp, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (? [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k5_nbvectsp(A)))))  &  ( (v2_vectsp_7(B, k2_bspace, k5_nbvectsp(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k5_nbvectsp(A)))))  &  (k4_card_1(B)=A &  (? [C] :  (m2_finseq_1(C, k4_finseq_2(A, k5_margrel1)) &  (k3_finseq_1(C)=A &  (v2_funct_1(C) &  (k4_card_1(k2_relset_1(k4_finseq_2(A, k5_margrel1), C))=A &  (k2_relset_1(k4_finseq_2(A, k5_margrel1), C)=B &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(D, k2_finseq_1(A)) & r2_tarski(E, k2_finseq_1(A)))  =>  ( (D=E => k1_funct_1(k1_funct_1(C, D), E)=k7_margrel1)  &  ( ~ (D=E)  => k1_funct_1(k1_funct_1(C, D), E)=k6_margrel1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_nbvectsp, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (v1_matrlin(k5_nbvectsp(A), k2_bspace) & k1_vectsp_9(k2_bspace, k5_nbvectsp(A))=A) ) ) ).
fof(t15_nbvectsp, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m2_finseq_1(B, k4_finseq_2(A, k5_margrel1)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k5_nbvectsp(A)))) =>  ( (k3_finseq_1(B)=A &  (v2_funct_1(B) &  (k4_card_1(k2_relset_1(k4_finseq_2(A, k5_margrel1), B))=A &  ( (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(D, k2_finseq_1(A)) & r2_tarski(E, k2_finseq_1(A)))  =>  ( (D=E => k1_funct_1(k1_funct_1(B, D), E)=k7_margrel1)  &  ( ~ (D=E)  => k1_funct_1(k1_funct_1(B, D), E)=k6_margrel1) ) ) ) ) ) )  & r1_tarski(C, k2_relset_1(k4_finseq_2(A, k5_margrel1), B))) ) ) )  =>  (m1_vectsp_4(k1_vectsp_7(k2_bspace, k5_nbvectsp(A), C), k2_bspace, k5_nbvectsp(A)) &  ( (v2_vectsp_7(C, k2_bspace, k1_vectsp_7(k2_bspace, k5_nbvectsp(A), C)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k1_vectsp_7(k2_bspace, k5_nbvectsp(A), C)))))  & k1_vectsp_9(k2_bspace, k1_vectsp_7(k2_bspace, k5_nbvectsp(A), C))=k4_card_1(C)) ) ) ) ) ) ) ) ) ).
fof(dt_k1_nbvectsp, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (v1_funct_1(k1_nbvectsp(A)) &  (v1_funct_2(k1_nbvectsp(A), k2_zfmisc_1(k4_finseq_2(A, k5_margrel1), k4_finseq_2(A, k5_margrel1)), k4_finseq_2(A, k5_margrel1)) & m1_subset_1(k1_nbvectsp(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A, k5_margrel1), k4_finseq_2(A, k5_margrel1)), k4_finseq_2(A, k5_margrel1))))) ) ) ) ).
fof(dt_k2_nbvectsp, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  => m2_finseq_2(k2_nbvectsp(A), k5_margrel1, k4_finseq_2(A, k5_margrel1))) ) ).
fof(dt_k3_nbvectsp, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (v8_algstr_0(k3_nbvectsp(A)) & l2_algstr_0(k3_nbvectsp(A))) ) ) ).
fof(dt_k4_nbvectsp, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (v1_funct_1(k4_nbvectsp(A)) &  (v1_funct_2(k4_nbvectsp(A), k2_zfmisc_1(u1_struct_0(k2_bspace), k4_finseq_2(A, k5_margrel1)), k4_finseq_2(A, k5_margrel1)) & m1_subset_1(k4_nbvectsp(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_bspace), k4_finseq_2(A, k5_margrel1)), k4_finseq_2(A, k5_margrel1))))) ) ) ) ).
fof(dt_k5_nbvectsp, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  ( ~ (v2_struct_0(k5_nbvectsp(A)))  &  (v13_algstr_0(k5_nbvectsp(A)) &  (v2_rlvect_1(k5_nbvectsp(A)) &  (v3_rlvect_1(k5_nbvectsp(A)) &  (v4_rlvect_1(k5_nbvectsp(A)) &  (v8_vectsp_1(k5_nbvectsp(A), k2_bspace) &  (v9_vectsp_1(k5_nbvectsp(A), k2_bspace) &  (v10_vectsp_1(k5_nbvectsp(A), k2_bspace) &  (v11_vectsp_1(k5_nbvectsp(A), k2_bspace) & l1_vectsp_1(k5_nbvectsp(A), k2_bspace)) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k5_vfunct_1(k4_ordinal1, A, B), k6_clvect_1(A, B, k4_xcmplx_0(k6_complex1)))) ) ) ) ).
fof(t3_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_ncfcont1(C, A, B) => r2_tarski(B, C)) ) ) ) ) ) ).
fof(d2_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_ncfcont1(B, A) <=>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ~ ( (r1_tarski(k2_relset_1(u1_struct_0(A), C), B) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ~ ( (m2_valued_0(D, u1_struct_0(A), C) &  (v9_clvect_1(D, A) & r2_tarski(k7_clvect_1(A, D), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_ncfcont1(B, A) <=>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (r1_tarski(k2_relset_1(u1_struct_0(A), C), B) & v9_clvect_1(C, A))  => r2_tarski(k7_clvect_1(A, C), B)) ) ) ) ) ) ) ) ).
fof(d4_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_ncfcont1(B, A) <=> v2_ncfcont1(k3_subset_1(u1_struct_0(A), B), A)) ) ) ) ) ).
fof(d5_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_ncfcont1(A, B, C, D) <=>  (r2_tarski(D, k1_relset_1(u1_struct_0(A), C)) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (r1_tarski(k2_relset_1(u1_struct_0(A), E), k1_relset_1(u1_struct_0(A), C)) &  (v9_clvect_1(E, A) & k7_clvect_1(A, E)=D) )  =>  (v9_clvect_1(k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, C), B) & k7_partfun1(u1_struct_0(B), C, D)=k7_clvect_1(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_ncfcont1(A, B, C, D) <=>  (r2_tarski(D, k1_relset_1(u1_struct_0(A), C)) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (r1_tarski(k2_relset_1(u1_struct_0(A), E), k1_relset_1(u1_struct_0(A), C)) &  (v9_clvect_1(E, A) & k7_clvect_1(A, E)=D) )  =>  (v3_normsp_1(k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, C), B) & k7_partfun1(u1_struct_0(B), C, D)=k5_normsp_1(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r3_ncfcont1(A, B, C, D) <=>  (r2_tarski(D, k1_relset_1(u1_struct_0(A), C)) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (r1_tarski(k2_relset_1(u1_struct_0(A), E), k1_relset_1(u1_struct_0(A), C)) &  (v3_normsp_1(E, A) & k5_normsp_1(A, E)=D) )  =>  (v9_clvect_1(k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, C), B) & k7_partfun1(u1_struct_0(B), C, D)=k7_clvect_1(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r4_ncfcont1(A, B, C) <=>  (r2_tarski(C, k1_relset_1(u1_struct_0(A), B)) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (r1_tarski(k2_relset_1(u1_struct_0(A), D), k1_relset_1(u1_struct_0(A), B)) &  (v9_clvect_1(D, A) & k7_clvect_1(A, D)=C) )  =>  (v2_comseq_2(k8_funct_2(k4_ordinal1, k2_numbers, u1_struct_0(A), D, B)) & k7_partfun1(k2_numbers, B, C)=k3_comseq_2(k8_funct_2(k4_ordinal1, k2_numbers, u1_struct_0(A), D, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r5_ncfcont1(A, B, C) <=>  (r2_tarski(C, k1_relset_1(u1_struct_0(A), B)) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (r1_tarski(k2_relset_1(u1_struct_0(A), D), k1_relset_1(u1_struct_0(A), B)) &  (v9_clvect_1(D, A) & k7_clvect_1(A, D)=C) )  =>  (v2_comseq_2(k8_funct_2(k4_ordinal1, k1_numbers, u1_struct_0(A), D, B)) & k7_partfun1(k1_numbers, B, C)=k1_seq_2(k8_funct_2(k4_ordinal1, k1_numbers, u1_struct_0(A), D, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r6_ncfcont1(A, B, C) <=>  (r2_tarski(C, k1_relset_1(u1_struct_0(A), B)) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (r1_tarski(k2_relset_1(u1_struct_0(A), D), k1_relset_1(u1_struct_0(A), B)) &  (v3_normsp_1(D, A) & k5_normsp_1(A, D)=C) )  =>  (v2_comseq_2(k8_funct_2(k4_ordinal1, k2_numbers, u1_struct_0(A), D, B)) & k7_partfun1(k2_numbers, B, C)=k3_comseq_2(k8_funct_2(k4_ordinal1, k2_numbers, u1_struct_0(A), D, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (r1_tarski(k2_relset_1(u1_struct_0(A), D), k1_relset_1(u1_struct_0(A), E)) => r2_tarski(k1_normsp_0(A, D, C), k1_relset_1(u1_struct_0(A), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (r1_tarski(k2_relset_1(u1_struct_0(A), D), k1_relset_1(u1_struct_0(A), E)) => r2_tarski(k1_normsp_0(A, D, C), k1_relset_1(u1_struct_0(A), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  (r1_tarski(k2_relset_1(u1_struct_0(B), D), k1_relset_1(u1_struct_0(B), E)) => r2_tarski(k1_normsp_0(B, D, C), k1_relset_1(u1_struct_0(B), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (r2_tarski(C, k2_relset_1(u1_struct_0(A), B)) <=>  (? [D] :  (v7_ordinal1(D) & C=k1_normsp_0(A, B, D)) ) ) ) ) ) ) ) ).
fof(t8_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_ncfcont1(A, B, C, D) <=>  (r2_tarski(D, k1_relset_1(u1_struct_0(A), C)) &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(F, k5_numbers))  &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( (r2_tarski(G, k1_relset_1(u1_struct_0(A), C)) &  ( ~ (r1_xxreal_0(F, k2_normsp_0(A, k5_algstr_0(A, G, D))))  & r1_xxreal_0(E, k2_normsp_0(B, k5_algstr_0(B, k7_partfun1(u1_struct_0(B), C, G), k7_partfun1(u1_struct_0(B), C, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_ncfcont1(A, B, C, D) <=>  (r2_tarski(D, k1_relset_1(u1_struct_0(A), C)) &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(F, k5_numbers))  &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( (r2_tarski(G, k1_relset_1(u1_struct_0(A), C)) &  ( ~ (r1_xxreal_0(F, k2_normsp_0(A, k5_algstr_0(A, G, D))))  & r1_xxreal_0(E, k2_normsp_0(B, k5_algstr_0(B, k7_partfun1(u1_struct_0(B), C, G), k7_partfun1(u1_struct_0(B), C, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r3_ncfcont1(B, A, C, D) <=>  (r2_tarski(D, k1_relset_1(u1_struct_0(B), C)) &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(F, k5_numbers))  &  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  ~ ( (r2_tarski(G, k1_relset_1(u1_struct_0(B), C)) &  ( ~ (r1_xxreal_0(F, k2_normsp_0(B, k5_algstr_0(B, G, D))))  & r1_xxreal_0(E, k2_normsp_0(A, k5_algstr_0(A, k7_partfun1(u1_struct_0(A), C, G), k7_partfun1(u1_struct_0(A), C, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r5_ncfcont1(A, B, C) <=>  (r2_tarski(C, k1_relset_1(u1_struct_0(A), B)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r2_tarski(F, k1_relset_1(u1_struct_0(A), B)) &  ( ~ (r1_xxreal_0(E, k2_normsp_0(A, k5_algstr_0(A, F, C))))  & r1_xxreal_0(D, k9_complex1(k5_real_1(k7_partfun1(k1_numbers, B, F), k7_partfun1(k1_numbers, B, C))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r4_ncfcont1(A, B, C) <=>  (r2_tarski(C, k1_relset_1(u1_struct_0(A), B)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r2_tarski(F, k1_relset_1(u1_struct_0(A), B)) &  ( ~ (r1_xxreal_0(E, k2_normsp_0(A, k5_algstr_0(A, F, C))))  & r1_xxreal_0(D, k9_complex1(k6_xcmplx_0(k7_partfun1(k2_numbers, B, F), k7_partfun1(k2_numbers, B, C))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r6_ncfcont1(A, B, C) <=>  (r2_tarski(C, k1_relset_1(u1_struct_0(A), B)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r2_tarski(F, k1_relset_1(u1_struct_0(A), B)) &  ( ~ (r1_xxreal_0(E, k2_normsp_0(A, k5_algstr_0(A, F, C))))  & r1_xxreal_0(D, k9_complex1(k6_xcmplx_0(k7_partfun1(k2_numbers, B, F), k7_partfun1(k2_numbers, B, C))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_ncfcont1(A, B, C, D) <=>  (r2_tarski(D, k1_relset_1(u1_struct_0(A), C)) &  (! [E] :  (m1_ncfcont1(E, B, k7_partfun1(u1_struct_0(B), C, D)) =>  (? [F] :  (m1_ncfcont1(F, A, D) &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_tarski(G, k1_relset_1(u1_struct_0(A), C)) & r2_tarski(G, F))  => r2_tarski(k7_partfun1(u1_struct_0(B), C, G), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_ncfcont1(A, B, C, D) <=>  (r2_tarski(D, k1_relset_1(u1_struct_0(A), C)) &  (! [E] :  (m1_nfcont_1(E, B, k7_partfun1(u1_struct_0(B), C, D)) =>  (? [F] :  (m1_ncfcont1(F, A, D) &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_tarski(G, k1_relset_1(u1_struct_0(A), C)) & r2_tarski(G, F))  => r2_tarski(k7_partfun1(u1_struct_0(B), C, G), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r3_ncfcont1(B, A, C, D) <=>  (r2_tarski(D, k1_relset_1(u1_struct_0(B), C)) &  (! [E] :  (m1_ncfcont1(E, A, k7_partfun1(u1_struct_0(A), C, D)) =>  (? [F] :  (m1_nfcont_1(F, B, D) &  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  ( (r2_tarski(G, k1_relset_1(u1_struct_0(B), C)) & r2_tarski(G, F))  => r2_tarski(k7_partfun1(u1_struct_0(A), C, G), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_ncfcont1(A, B, C, D) <=>  (r2_tarski(D, k1_relset_1(u1_struct_0(A), C)) &  (! [E] :  (m1_ncfcont1(E, B, k7_partfun1(u1_struct_0(B), C, D)) =>  (? [F] :  (m1_ncfcont1(F, A, D) & r1_tarski(k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, F), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_ncfcont1(A, B, C, D) <=>  (r2_tarski(D, k1_relset_1(u1_struct_0(A), C)) &  (! [E] :  (m1_nfcont_1(E, B, k7_partfun1(u1_struct_0(B), C, D)) =>  (? [F] :  (m1_ncfcont1(F, A, D) & r1_tarski(k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, F), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r3_ncfcont1(B, A, C, D) <=>  (r2_tarski(D, k1_relset_1(u1_struct_0(B), C)) &  (! [E] :  (m1_ncfcont1(E, A, k7_partfun1(u1_struct_0(A), C, D)) =>  (? [F] :  (m1_nfcont_1(F, B, D) & r1_tarski(k7_relset_1(u1_struct_0(B), u1_struct_0(A), C, F), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, k1_relset_1(u1_struct_0(A), C)) =>  ( (! [E] :  (m1_ncfcont1(E, A, D) =>  ~ (k9_subset_1(u1_struct_0(A), k1_relset_1(u1_struct_0(A), C), E)=k1_tarski(D)) ) )  | r1_ncfcont1(A, B, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t21_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, k1_relset_1(u1_struct_0(A), C)) =>  ( (! [E] :  (m1_ncfcont1(E, A, D) =>  ~ (k9_subset_1(u1_struct_0(A), k1_relset_1(u1_struct_0(A), C), E)=k1_tarski(D)) ) )  | r2_ncfcont1(A, B, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t22_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r2_tarski(D, k1_relset_1(u1_struct_0(B), C)) =>  ( (! [E] :  (m1_nfcont_1(E, B, D) =>  ~ (k9_subset_1(u1_struct_0(B), k1_relset_1(u1_struct_0(B), C), E)=k1_tarski(D)) ) )  | r3_ncfcont1(B, A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t23_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (r1_tarski(k2_relset_1(u1_struct_0(A), E), k9_subset_1(u1_struct_0(A), k1_relset_1(u1_struct_0(A), C), k1_relset_1(u1_struct_0(A), D))) =>  (r2_funct_2(k4_ordinal1, u1_struct_0(B), k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, k3_vfunct_2(u1_struct_0(A), B, C, D)), k1_normsp_1(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, C), k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, D))) & r2_funct_2(k4_ordinal1, u1_struct_0(B), k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, k2_vfunct_1(u1_struct_0(A), B, C, D)), k2_normsp_1(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, C), k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (r1_tarski(k2_relset_1(u1_struct_0(A), E), k9_subset_1(u1_struct_0(A), k1_relset_1(u1_struct_0(A), C), k1_relset_1(u1_struct_0(A), D))) =>  (r2_funct_2(k4_ordinal1, u1_struct_0(B), k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, k6_vfunct_1(u1_struct_0(A), B, C, D)), k1_normsp_1(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, C), k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, D))) & r2_funct_2(k4_ordinal1, u1_struct_0(B), k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, k2_vfunct_1(u1_struct_0(A), B, C, D)), k2_normsp_1(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, C), k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  (r1_tarski(k2_relset_1(u1_struct_0(B), E), k9_subset_1(u1_struct_0(B), k1_relset_1(u1_struct_0(B), C), k1_relset_1(u1_struct_0(B), D))) =>  (r2_funct_2(k4_ordinal1, u1_struct_0(A), k8_funct_2(k4_ordinal1, u1_struct_0(A), u1_struct_0(B), E, k3_vfunct_2(u1_struct_0(B), A, C, D)), k1_normsp_1(A, k8_funct_2(k4_ordinal1, u1_struct_0(A), u1_struct_0(B), E, C), k8_funct_2(k4_ordinal1, u1_struct_0(A), u1_struct_0(B), E, D))) & r2_funct_2(k4_ordinal1, u1_struct_0(A), k8_funct_2(k4_ordinal1, u1_struct_0(A), u1_struct_0(B), E, k2_vfunct_1(u1_struct_0(B), A, C, D)), k2_normsp_1(A, k8_funct_2(k4_ordinal1, u1_struct_0(A), u1_struct_0(B), E, C), k8_funct_2(k4_ordinal1, u1_struct_0(A), u1_struct_0(B), E, D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [E] :  (v1_xcmplx_0(E) =>  (r1_tarski(k2_relset_1(u1_struct_0(A), D), k1_relset_1(u1_struct_0(A), C)) => r2_funct_2(k4_ordinal1, u1_struct_0(B), k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), D, k2_vfunct_2(u1_struct_0(A), B, C, E)), k6_clvect_1(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), D, C), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [E] :  (v1_xreal_0(E) =>  (r1_tarski(k2_relset_1(u1_struct_0(A), D), k1_relset_1(u1_struct_0(A), C)) => r2_funct_2(k4_ordinal1, u1_struct_0(B), k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), D, k4_vfunct_1(u1_struct_0(A), B, C, E)), k4_normsp_1(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), D, C), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  (! [E] :  (v1_xcmplx_0(E) =>  (r1_tarski(k2_relset_1(u1_struct_0(B), D), k1_relset_1(u1_struct_0(B), C)) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k8_funct_2(k4_ordinal1, u1_struct_0(A), u1_struct_0(B), D, k2_vfunct_2(u1_struct_0(B), A, C, E)), k6_clvect_1(A, k8_funct_2(k4_ordinal1, u1_struct_0(A), u1_struct_0(B), D, C), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (r1_tarski(k2_relset_1(u1_struct_0(A), D), k1_relset_1(u1_struct_0(A), C)) =>  (r2_funct_2(k4_ordinal1, k1_numbers, k5_normsp_0(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), D, C)), k8_funct_2(k4_ordinal1, k1_numbers, u1_struct_0(A), D, k4_normsp_0(u1_struct_0(A), B, C))) & r2_funct_2(k4_ordinal1, u1_struct_0(B), k5_vfunct_1(k4_ordinal1, B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), D, C)), k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), D, k5_vfunct_1(u1_struct_0(A), B, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t30_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (r1_tarski(k2_relset_1(u1_struct_0(A), D), k1_relset_1(u1_struct_0(A), C)) =>  (r2_funct_2(k4_ordinal1, k1_numbers, k5_normsp_0(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), D, C)), k8_funct_2(k4_ordinal1, k1_numbers, u1_struct_0(A), D, k4_normsp_0(u1_struct_0(A), B, C))) & r2_funct_2(k4_ordinal1, u1_struct_0(B), k5_vfunct_1(k4_ordinal1, B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), D, C)), k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), D, k5_vfunct_1(u1_struct_0(A), B, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t31_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  (r1_tarski(k2_relset_1(u1_struct_0(B), D), k1_relset_1(u1_struct_0(B), C)) =>  (r2_funct_2(k4_ordinal1, k1_numbers, k5_normsp_0(A, k8_funct_2(k4_ordinal1, u1_struct_0(A), u1_struct_0(B), D, C)), k8_funct_2(k4_ordinal1, k1_numbers, u1_struct_0(B), D, k4_normsp_0(u1_struct_0(B), A, C))) & r2_funct_2(k4_ordinal1, u1_struct_0(A), k5_vfunct_1(k4_ordinal1, A, k8_funct_2(k4_ordinal1, u1_struct_0(A), u1_struct_0(B), D, C)), k8_funct_2(k4_ordinal1, u1_struct_0(A), u1_struct_0(B), D, k5_vfunct_1(u1_struct_0(B), A, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t32_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_ncfcont1(A, B, C, E) & r1_ncfcont1(A, B, D, E))  =>  (r1_ncfcont1(A, B, k3_vfunct_2(u1_struct_0(A), B, C, D), E) & r1_ncfcont1(A, B, k2_vfunct_1(u1_struct_0(A), B, C, D), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r2_ncfcont1(A, B, C, E) & r2_ncfcont1(A, B, D, E))  =>  (r2_ncfcont1(A, B, k6_vfunct_1(u1_struct_0(A), B, C, D), E) & r2_ncfcont1(A, B, k2_vfunct_1(u1_struct_0(A), B, C, D), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  ( (r3_ncfcont1(B, A, C, E) & r3_ncfcont1(B, A, D, E))  =>  (r3_ncfcont1(B, A, k3_vfunct_2(u1_struct_0(B), A, C, D), E) & r3_ncfcont1(B, A, k2_vfunct_1(u1_struct_0(B), A, C, D), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xcmplx_0(E) =>  (r1_ncfcont1(A, B, C, D) => r1_ncfcont1(A, B, k2_vfunct_2(u1_struct_0(A), B, C, E), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xreal_0(E) =>  (r2_ncfcont1(A, B, C, D) => r2_ncfcont1(A, B, k4_vfunct_1(u1_struct_0(A), B, C, E), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (v1_xcmplx_0(E) =>  (r3_ncfcont1(B, A, C, D) => r3_ncfcont1(B, A, k2_vfunct_2(u1_struct_0(B), A, C, E), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_ncfcont1(A, B, C, D) =>  (r5_ncfcont1(A, k4_normsp_0(u1_struct_0(A), B, C), D) & r1_ncfcont1(A, B, k5_vfunct_1(u1_struct_0(A), B, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(t39_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_ncfcont1(A, B, C, D) =>  (r5_ncfcont1(A, k4_normsp_0(u1_struct_0(A), B, C), D) & r2_ncfcont1(A, B, k5_vfunct_1(u1_struct_0(A), B, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(t40_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r3_ncfcont1(B, A, C, D) =>  (r2_nfcont_1(B, k4_normsp_0(u1_struct_0(B), A, C), D) & r3_ncfcont1(B, A, k5_vfunct_1(u1_struct_0(B), A, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(d11_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (r7_ncfcont1(A, B, C, D) <=>  (r1_tarski(D, k1_relset_1(u1_struct_0(A), C)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(E, D) => r1_ncfcont1(A, B, k2_partfun1(u1_struct_0(A), u1_struct_0(B), C, D), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (r8_ncfcont1(A, B, C, D) <=>  (r1_tarski(D, k1_relset_1(u1_struct_0(A), C)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(E, D) => r2_ncfcont1(A, B, k2_partfun1(u1_struct_0(A), u1_struct_0(B), C, D), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (r9_ncfcont1(A, B, C, D) <=>  (r1_tarski(D, k1_relset_1(u1_struct_0(A), C)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(E, D) => r3_ncfcont1(A, B, k2_partfun1(u1_struct_0(A), u1_struct_0(B), C, D), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers))))  =>  (! [C] :  (r10_ncfcont1(A, B, C) <=>  (r1_tarski(C, k1_relset_1(u1_struct_0(A), B)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, C) => r4_ncfcont1(A, k2_partfun1(u1_struct_0(A), k2_numbers, B, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(d15_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))))  =>  (! [C] :  (r11_ncfcont1(A, B, C) <=>  (r1_tarski(C, k1_relset_1(u1_struct_0(A), B)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, C) => r5_ncfcont1(A, k2_partfun1(u1_struct_0(A), k1_numbers, B, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(d16_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers))))  =>  (! [C] :  (r12_ncfcont1(A, B, C) <=>  (r1_tarski(C, k1_relset_1(u1_struct_0(A), B)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, C) => r6_ncfcont1(A, k2_partfun1(u1_struct_0(A), k2_numbers, B, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(t41_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (r7_ncfcont1(A, B, D, C) <=>  (r1_tarski(C, k1_relset_1(u1_struct_0(A), D)) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (r1_tarski(k2_relset_1(u1_struct_0(A), E), C) &  (v9_clvect_1(E, A) & r2_tarski(k7_clvect_1(A, E), C)) )  =>  (v9_clvect_1(k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, D), B) & k7_partfun1(u1_struct_0(B), D, k7_clvect_1(A, E))=k7_clvect_1(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (r8_ncfcont1(A, B, D, C) <=>  (r1_tarski(C, k1_relset_1(u1_struct_0(A), D)) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (r1_tarski(k2_relset_1(u1_struct_0(A), E), C) &  (v9_clvect_1(E, A) & r2_tarski(k7_clvect_1(A, E), C)) )  =>  (v3_normsp_1(k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, D), B) & k7_partfun1(u1_struct_0(B), D, k7_clvect_1(A, E))=k5_normsp_1(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  (r9_ncfcont1(B, A, D, C) <=>  (r1_tarski(C, k1_relset_1(u1_struct_0(B), D)) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  ( (r1_tarski(k2_relset_1(u1_struct_0(B), E), C) &  (v3_normsp_1(E, B) & r2_tarski(k5_normsp_1(B, E), C)) )  =>  (v9_clvect_1(k8_funct_2(k4_ordinal1, u1_struct_0(A), u1_struct_0(B), E, D), A) & k7_partfun1(u1_struct_0(A), D, k5_normsp_1(B, E))=k7_clvect_1(A, k8_funct_2(k4_ordinal1, u1_struct_0(A), u1_struct_0(B), E, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (r7_ncfcont1(A, B, D, C) <=>  (r1_tarski(C, k1_relset_1(u1_struct_0(A), D)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( (r2_tarski(E, C) &  ( ~ (r1_xxreal_0(F, k5_numbers))  &  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(G, k5_numbers))  &  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ~ ( (r2_tarski(H, C) &  ( ~ (r1_xxreal_0(G, k2_normsp_0(A, k5_algstr_0(A, H, E))))  & r1_xxreal_0(F, k2_normsp_0(B, k5_algstr_0(B, k7_partfun1(u1_struct_0(B), D, H), k7_partfun1(u1_struct_0(B), D, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (r8_ncfcont1(A, B, D, C) <=>  (r1_tarski(C, k1_relset_1(u1_struct_0(A), D)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( (r2_tarski(E, C) &  ( ~ (r1_xxreal_0(F, k5_numbers))  &  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(G, k5_numbers))  &  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ~ ( (r2_tarski(H, C) &  ( ~ (r1_xxreal_0(G, k2_normsp_0(A, k5_algstr_0(A, H, E))))  & r1_xxreal_0(F, k2_normsp_0(B, k5_algstr_0(B, k7_partfun1(u1_struct_0(B), D, H), k7_partfun1(u1_struct_0(B), D, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  (r9_ncfcont1(B, A, D, C) <=>  (r1_tarski(C, k1_relset_1(u1_struct_0(B), D)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( (r2_tarski(E, C) &  ( ~ (r1_xxreal_0(F, k5_numbers))  &  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(G, k5_numbers))  &  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  ~ ( (r2_tarski(H, C) &  ( ~ (r1_xxreal_0(G, k2_normsp_0(B, k5_algstr_0(B, H, E))))  & r1_xxreal_0(F, k2_normsp_0(A, k5_algstr_0(A, k7_partfun1(u1_struct_0(A), D, H), k7_partfun1(u1_struct_0(A), D, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers))))  =>  (r10_ncfcont1(A, C, B) <=>  (r1_tarski(B, k1_relset_1(u1_struct_0(A), C)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_tarski(D, B) &  ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(F, k5_numbers))  &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( (r2_tarski(G, B) &  ( ~ (r1_xxreal_0(F, k2_normsp_0(A, k5_algstr_0(A, G, D))))  & r1_xxreal_0(E, k9_complex1(k6_xcmplx_0(k7_partfun1(k2_numbers, C, G), k7_partfun1(k2_numbers, C, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))))  =>  (r11_ncfcont1(A, C, B) <=>  (r1_tarski(B, k1_relset_1(u1_struct_0(A), C)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_tarski(D, B) &  ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(F, k5_numbers))  &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( (r2_tarski(G, B) &  ( ~ (r1_xxreal_0(F, k2_normsp_0(A, k5_algstr_0(A, G, D))))  & r1_xxreal_0(E, k9_complex1(k5_real_1(k7_partfun1(k1_numbers, C, G), k7_partfun1(k1_numbers, C, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers))))  =>  (r12_ncfcont1(A, C, B) <=>  (r1_tarski(B, k1_relset_1(u1_struct_0(A), C)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_tarski(D, B) &  ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(F, k5_numbers))  &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( (r2_tarski(G, B) &  ( ~ (r1_xxreal_0(F, k2_normsp_0(A, k5_algstr_0(A, G, D))))  & r1_xxreal_0(E, k9_complex1(k6_xcmplx_0(k7_partfun1(k2_numbers, C, G), k7_partfun1(k2_numbers, C, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (r7_ncfcont1(A, B, D, C) <=> r7_ncfcont1(A, B, k2_partfun1(u1_struct_0(A), u1_struct_0(B), D, C), C)) ) ) ) ) ) ) ) ).
fof(t51_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (r8_ncfcont1(A, B, D, C) <=> r8_ncfcont1(A, B, k2_partfun1(u1_struct_0(A), u1_struct_0(B), D, C), C)) ) ) ) ) ) ) ) ).
fof(t52_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  (r9_ncfcont1(B, A, D, C) <=> r9_ncfcont1(B, A, k2_partfun1(u1_struct_0(B), u1_struct_0(A), D, C), C)) ) ) ) ) ) ) ) ).
fof(t53_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers))))  =>  (r10_ncfcont1(A, C, B) <=> r10_ncfcont1(A, k2_partfun1(u1_struct_0(A), k2_numbers, C, B), B)) ) ) ) ) ) ).
fof(t54_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))))  =>  (r11_ncfcont1(A, C, B) <=> r11_ncfcont1(A, k2_partfun1(u1_struct_0(A), k1_numbers, C, B), B)) ) ) ) ) ) ).
fof(t55_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers))))  =>  (r12_ncfcont1(A, C, B) <=> r12_ncfcont1(A, k2_partfun1(u1_struct_0(A), k2_numbers, C, B), B)) ) ) ) ) ) ).
fof(t56_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (r7_ncfcont1(A, B, E, C) & r1_tarski(D, C))  => r7_ncfcont1(A, B, E, D)) ) ) ) ) ) ) ) ) ).
fof(t57_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (r8_ncfcont1(A, B, E, C) & r1_tarski(D, C))  => r8_ncfcont1(A, B, E, D)) ) ) ) ) ) ) ) ) ).
fof(t58_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  ( (r9_ncfcont1(B, A, E, C) & r1_tarski(D, C))  => r9_ncfcont1(B, A, E, D)) ) ) ) ) ) ) ) ) ).
fof(t59_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, k1_relset_1(u1_struct_0(A), C)) => r7_ncfcont1(A, B, C, k1_tarski(D))) ) ) ) ) ) ) ) ) ).
fof(t60_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, k1_relset_1(u1_struct_0(A), C)) => r8_ncfcont1(A, B, C, k1_tarski(D))) ) ) ) ) ) ) ) ) ).
fof(t61_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r2_tarski(D, k1_relset_1(u1_struct_0(B), C)) => r9_ncfcont1(B, A, C, k1_tarski(D))) ) ) ) ) ) ) ) ) ).
fof(t62_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (r7_ncfcont1(A, B, D, C) & r7_ncfcont1(A, B, E, C))  =>  (r7_ncfcont1(A, B, k3_vfunct_2(u1_struct_0(A), B, D, E), C) & r7_ncfcont1(A, B, k2_vfunct_1(u1_struct_0(A), B, D, E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (r8_ncfcont1(A, B, D, C) & r8_ncfcont1(A, B, E, C))  =>  (r8_ncfcont1(A, B, k6_vfunct_1(u1_struct_0(A), B, D, E), C) & r8_ncfcont1(A, B, k2_vfunct_1(u1_struct_0(A), B, D, E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  ( (r9_ncfcont1(B, A, D, C) & r9_ncfcont1(B, A, E, C))  =>  (r9_ncfcont1(B, A, k3_vfunct_2(u1_struct_0(B), A, D, E), C) & r9_ncfcont1(B, A, k2_vfunct_1(u1_struct_0(B), A, D, E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (r7_ncfcont1(A, B, E, C) & r7_ncfcont1(A, B, F, D))  =>  (r7_ncfcont1(A, B, k3_vfunct_2(u1_struct_0(A), B, E, F), k3_xboole_0(C, D)) & r7_ncfcont1(A, B, k2_vfunct_1(u1_struct_0(A), B, E, F), k3_xboole_0(C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (r8_ncfcont1(A, B, E, C) & r8_ncfcont1(A, B, F, D))  =>  (r8_ncfcont1(A, B, k6_vfunct_1(u1_struct_0(A), B, E, F), k3_xboole_0(C, D)) & r8_ncfcont1(A, B, k2_vfunct_1(u1_struct_0(A), B, E, F), k3_xboole_0(C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  ( (r9_ncfcont1(B, A, E, C) & r9_ncfcont1(B, A, F, D))  =>  (r9_ncfcont1(B, A, k3_vfunct_2(u1_struct_0(B), A, E, F), k3_xboole_0(C, D)) & r9_ncfcont1(B, A, k2_vfunct_1(u1_struct_0(B), A, E, F), k3_xboole_0(C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_ncfcont1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_clvect_1(C) &  (v3_clvect_1(C) &  (v4_clvect_1(C) &  (v5_clvect_1(C) &  (v8_clvect_1(C) & l2_clvect_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (r7_ncfcont1(B, C, E, D) => r7_ncfcont1(B, C, k2_vfunct_2(u1_struct_0(B), C, E, A), D)) ) ) ) ) ) ) ) ) ) ).
fof(t69_ncfcont1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (r8_ncfcont1(B, C, E, D) => r8_ncfcont1(B, C, k4_vfunct_1(u1_struct_0(B), C, E, A), D)) ) ) ) ) ) ) ) ) ) ).
fof(t70_ncfcont1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(B)))))  =>  (r9_ncfcont1(C, B, E, D) => r9_ncfcont1(C, B, k2_vfunct_2(u1_struct_0(C), B, E, A), D)) ) ) ) ) ) ) ) ) ) ).
fof(t71_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (r7_ncfcont1(A, B, D, C) =>  (r11_ncfcont1(A, k4_normsp_0(u1_struct_0(A), B, D), C) & r7_ncfcont1(A, B, k5_vfunct_1(u1_struct_0(A), B, D), C)) ) ) ) ) ) ) ) ) ).
fof(t72_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (r8_ncfcont1(A, B, D, C) =>  (r11_ncfcont1(A, k4_normsp_0(u1_struct_0(A), B, D), C) & r8_ncfcont1(A, B, k5_vfunct_1(u1_struct_0(A), B, D), C)) ) ) ) ) ) ) ) ) ).
fof(t73_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  (r9_ncfcont1(B, A, D, C) =>  (r4_nfcont_1(B, k4_normsp_0(u1_struct_0(B), A, D), C) & r9_ncfcont1(B, A, k5_vfunct_1(u1_struct_0(B), A, D), C)) ) ) ) ) ) ) ) ) ).
fof(t74_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (v1_partfun1(C, u1_struct_0(A)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k7_partfun1(u1_struct_0(B), C, k3_rlvect_1(A, D, E))=k3_rlvect_1(B, k7_partfun1(u1_struct_0(B), C, D), k7_partfun1(u1_struct_0(B), C, E))) ) ) ) )  =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ (r1_ncfcont1(A, B, C, D)) ) )  | r7_ncfcont1(A, B, C, u1_struct_0(A))) ) ) ) ) ) ) ) ).
fof(t75_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (v1_partfun1(C, u1_struct_0(A)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k7_partfun1(u1_struct_0(B), C, k3_rlvect_1(A, D, E))=k3_rlvect_1(B, k7_partfun1(u1_struct_0(B), C, D), k7_partfun1(u1_struct_0(B), C, E))) ) ) ) )  =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ (r2_ncfcont1(A, B, C, D)) ) )  | r8_ncfcont1(A, B, C, u1_struct_0(A))) ) ) ) ) ) ) ) ).
fof(t76_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  ( (v1_partfun1(C, u1_struct_0(B)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => k7_partfun1(u1_struct_0(A), C, k3_rlvect_1(B, D, E))=k3_rlvect_1(A, k7_partfun1(u1_struct_0(A), C, D), k7_partfun1(u1_struct_0(A), C, E))) ) ) ) )  =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  ~ (r3_ncfcont1(B, A, C, D)) ) )  | r9_ncfcont1(B, A, C, u1_struct_0(B))) ) ) ) ) ) ) ) ).
fof(t77_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (v1_ncfcont1(k1_relset_1(u1_struct_0(A), C), A) & r7_ncfcont1(A, B, C, k1_relset_1(u1_struct_0(A), C)))  => v1_ncfcont1(k2_relset_1(u1_struct_0(B), C), B)) ) ) ) ) ) ) ).
fof(t78_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (v1_ncfcont1(k1_relset_1(u1_struct_0(A), C), A) & r8_ncfcont1(A, B, C, k1_relset_1(u1_struct_0(A), C)))  => v1_nfcont_1(k2_relset_1(u1_struct_0(B), C), B)) ) ) ) ) ) ) ).
fof(t79_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  ( (v1_nfcont_1(k1_relset_1(u1_struct_0(B), C), B) & r9_ncfcont1(B, A, C, k1_relset_1(u1_struct_0(B), C)))  => v1_ncfcont1(k2_relset_1(u1_struct_0(A), C), A)) ) ) ) ) ) ) ).
fof(t80_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers))))  =>  ( (v1_ncfcont1(k1_relset_1(u1_struct_0(A), B), A) & r10_ncfcont1(A, B, k1_relset_1(u1_struct_0(A), B)))  => v1_cfcont_1(k2_relset_1(k2_numbers, B))) ) ) ) ) ).
fof(t81_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))))  =>  ( (v1_ncfcont1(k1_relset_1(u1_struct_0(A), B), A) & r11_ncfcont1(A, B, k1_relset_1(u1_struct_0(A), B)))  => v1_rcomp_1(k2_relset_1(k1_numbers, B))) ) ) ) ) ).
fof(t82_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers))))  =>  ( (v1_nfcont_1(k1_relset_1(u1_struct_0(A), B), A) & r12_ncfcont1(A, B, k1_relset_1(u1_struct_0(A), B)))  => v1_cfcont_1(k2_relset_1(k2_numbers, B))) ) ) ) ) ).
fof(t83_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (r1_tarski(C, k1_relset_1(u1_struct_0(A), D)) &  (v1_ncfcont1(C, A) & r7_ncfcont1(A, B, D, C)) )  => v1_ncfcont1(k7_relset_1(u1_struct_0(A), u1_struct_0(B), D, C), B)) ) ) ) ) ) ) ) ) ).
fof(t84_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (r1_tarski(C, k1_relset_1(u1_struct_0(A), D)) &  (v1_ncfcont1(C, A) & r8_ncfcont1(A, B, D, C)) )  => v1_nfcont_1(k7_relset_1(u1_struct_0(A), u1_struct_0(B), D, C), B)) ) ) ) ) ) ) ) ) ).
fof(t85_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  ( (r1_tarski(C, k1_relset_1(u1_struct_0(B), D)) &  (v1_nfcont_1(C, B) & r9_ncfcont1(B, A, D, C)) )  => v1_ncfcont1(k7_relset_1(u1_struct_0(B), u1_struct_0(A), D, C), A)) ) ) ) ) ) ) ) ) ).
fof(t86_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))))  =>  ~ ( ( ~ (k1_relset_1(u1_struct_0(A), B)=k1_xboole_0)  &  (v1_ncfcont1(k1_relset_1(u1_struct_0(A), B), A) &  (r11_ncfcont1(A, B, k1_relset_1(u1_struct_0(A), B)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(C, k1_relset_1(u1_struct_0(A), B)) &  (r2_tarski(D, k1_relset_1(u1_struct_0(A), B)) &  (k7_partfun1(k1_numbers, B, C)=k2_seq_4(k2_relset_1(k1_numbers, B)) & k7_partfun1(k1_numbers, B, D)=k3_seq_4(k2_relset_1(k1_numbers, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t87_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ~ ( ( ~ (k1_relset_1(u1_struct_0(A), C)=k1_xboole_0)  &  (v1_ncfcont1(k1_relset_1(u1_struct_0(A), C), A) &  (r7_ncfcont1(A, B, C, k1_relset_1(u1_struct_0(A), C)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_tarski(D, k1_relset_1(u1_struct_0(A), C)) &  (r2_tarski(E, k1_relset_1(u1_struct_0(A), C)) &  (k7_partfun1(k1_numbers, k4_normsp_0(u1_struct_0(A), B, C), D)=k2_seq_4(k2_relset_1(k1_numbers, k4_normsp_0(u1_struct_0(A), B, C))) & k7_partfun1(k1_numbers, k4_normsp_0(u1_struct_0(A), B, C), E)=k3_seq_4(k2_relset_1(k1_numbers, k4_normsp_0(u1_struct_0(A), B, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t88_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ~ ( ( ~ (k1_relset_1(u1_struct_0(A), C)=k1_xboole_0)  &  (v1_ncfcont1(k1_relset_1(u1_struct_0(A), C), A) &  (r8_ncfcont1(A, B, C, k1_relset_1(u1_struct_0(A), C)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_tarski(D, k1_relset_1(u1_struct_0(A), C)) &  (r2_tarski(E, k1_relset_1(u1_struct_0(A), C)) &  (k7_partfun1(k1_numbers, k4_normsp_0(u1_struct_0(A), B, C), D)=k2_seq_4(k2_relset_1(k1_numbers, k4_normsp_0(u1_struct_0(A), B, C))) & k7_partfun1(k1_numbers, k4_normsp_0(u1_struct_0(A), B, C), E)=k3_seq_4(k2_relset_1(k1_numbers, k4_normsp_0(u1_struct_0(A), B, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t89_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  ~ ( ( ~ (k1_relset_1(u1_struct_0(B), C)=k1_xboole_0)  &  (v1_nfcont_1(k1_relset_1(u1_struct_0(B), C), B) &  (r9_ncfcont1(B, A, C, k1_relset_1(u1_struct_0(B), C)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  ~ ( (r2_tarski(D, k1_relset_1(u1_struct_0(B), C)) &  (r2_tarski(E, k1_relset_1(u1_struct_0(B), C)) &  (k7_partfun1(k1_numbers, k4_normsp_0(u1_struct_0(B), A, C), D)=k2_seq_4(k2_relset_1(k1_numbers, k4_normsp_0(u1_struct_0(B), A, C))) & k7_partfun1(k1_numbers, k4_normsp_0(u1_struct_0(B), A, C), E)=k3_seq_4(k2_relset_1(k1_numbers, k4_normsp_0(u1_struct_0(B), A, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t90_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  => r2_relset_1(u1_struct_0(A), k1_numbers, k2_partfun1(u1_struct_0(A), k1_numbers, k4_normsp_0(u1_struct_0(A), B, D), C), k4_normsp_0(u1_struct_0(A), B, k2_partfun1(u1_struct_0(A), u1_struct_0(B), D, C)))) ) ) ) ) ) ) ).
fof(t91_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  => r2_relset_1(u1_struct_0(A), k1_numbers, k2_partfun1(u1_struct_0(A), k1_numbers, k4_normsp_0(u1_struct_0(A), B, D), C), k4_normsp_0(u1_struct_0(A), B, k2_partfun1(u1_struct_0(A), u1_struct_0(B), D, C)))) ) ) ) ) ) ) ).
fof(t92_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  => r2_relset_1(u1_struct_0(B), k1_numbers, k2_partfun1(u1_struct_0(B), k1_numbers, k4_normsp_0(u1_struct_0(B), A, D), C), k4_normsp_0(u1_struct_0(B), A, k2_partfun1(u1_struct_0(B), u1_struct_0(A), D, C)))) ) ) ) ) ) ) ).
fof(t93_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( ~ (D=k1_xboole_0)  &  (r1_tarski(D, k1_relset_1(u1_struct_0(A), C)) &  (v1_ncfcont1(D, A) &  (r7_ncfcont1(A, B, C, D) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r2_tarski(E, D) &  (r2_tarski(F, D) &  (k7_partfun1(k1_numbers, k4_normsp_0(u1_struct_0(A), B, C), E)=k2_seq_4(k7_relset_1(u1_struct_0(A), k1_numbers, k4_normsp_0(u1_struct_0(A), B, C), D)) & k7_partfun1(k1_numbers, k4_normsp_0(u1_struct_0(A), B, C), F)=k3_seq_4(k7_relset_1(u1_struct_0(A), k1_numbers, k4_normsp_0(u1_struct_0(A), B, C), D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t94_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( ~ (D=k1_xboole_0)  &  (r1_tarski(D, k1_relset_1(u1_struct_0(A), C)) &  (v1_ncfcont1(D, A) &  (r8_ncfcont1(A, B, C, D) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r2_tarski(E, D) &  (r2_tarski(F, D) &  (k7_partfun1(k1_numbers, k4_normsp_0(u1_struct_0(A), B, C), E)=k2_seq_4(k7_relset_1(u1_struct_0(A), k1_numbers, k4_normsp_0(u1_struct_0(A), B, C), D)) & k7_partfun1(k1_numbers, k4_normsp_0(u1_struct_0(A), B, C), F)=k3_seq_4(k7_relset_1(u1_struct_0(A), k1_numbers, k4_normsp_0(u1_struct_0(A), B, C), D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t95_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  ~ ( ( ~ (D=k1_xboole_0)  &  (r1_tarski(D, k1_relset_1(u1_struct_0(B), C)) &  (v1_nfcont_1(D, B) &  (r9_ncfcont1(B, A, C, D) &  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ~ ( (r2_tarski(E, D) &  (r2_tarski(F, D) &  (k7_partfun1(k1_numbers, k4_normsp_0(u1_struct_0(B), A, C), E)=k2_seq_4(k7_relset_1(u1_struct_0(B), k1_numbers, k4_normsp_0(u1_struct_0(B), A, C), D)) & k7_partfun1(k1_numbers, k4_normsp_0(u1_struct_0(B), A, C), F)=k3_seq_4(k7_relset_1(u1_struct_0(B), k1_numbers, k4_normsp_0(u1_struct_0(B), A, C), D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t96_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( ~ (C=k1_xboole_0)  &  (r1_tarski(C, k1_relset_1(u1_struct_0(A), B)) &  (v1_ncfcont1(C, A) &  (r11_ncfcont1(A, B, C) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_tarski(D, C) &  (r2_tarski(E, C) &  (k7_partfun1(k1_numbers, B, D)=k2_seq_4(k7_relset_1(u1_struct_0(A), k1_numbers, B, C)) & k7_partfun1(k1_numbers, B, E)=k3_seq_4(k7_relset_1(u1_struct_0(A), k1_numbers, B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (r13_ncfcont1(A, B, C, D) <=>  (r1_tarski(C, k1_relset_1(u1_struct_0(A), D)) &  (? [E] :  (v1_xreal_0(E) &  ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_tarski(F, C) & r2_tarski(G, C))  => r1_xxreal_0(k2_normsp_0(B, k5_algstr_0(B, k7_partfun1(u1_struct_0(B), D, F), k7_partfun1(u1_struct_0(B), D, G))), k3_xcmplx_0(E, k2_normsp_0(A, k5_algstr_0(A, F, G))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (r14_ncfcont1(A, B, C, D) <=>  (r1_tarski(C, k1_relset_1(u1_struct_0(A), D)) &  (? [E] :  (v1_xreal_0(E) &  ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_tarski(F, C) & r2_tarski(G, C))  => r1_xxreal_0(k2_normsp_0(B, k5_algstr_0(B, k7_partfun1(u1_struct_0(B), D, F), k7_partfun1(u1_struct_0(B), D, G))), k3_xcmplx_0(E, k2_normsp_0(A, k5_algstr_0(A, F, G))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (r15_ncfcont1(A, B, C, D) <=>  (r1_tarski(C, k1_relset_1(u1_struct_0(A), D)) &  (? [E] :  (v1_xreal_0(E) &  ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_tarski(F, C) & r2_tarski(G, C))  => r1_xxreal_0(k2_normsp_0(B, k5_algstr_0(B, k7_partfun1(u1_struct_0(B), D, F), k7_partfun1(u1_struct_0(B), D, G))), k3_xcmplx_0(E, k2_normsp_0(A, k5_algstr_0(A, F, G))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d20_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers))))  =>  (r16_ncfcont1(A, B, C) <=>  (r1_tarski(B, k1_relset_1(u1_struct_0(A), C)) &  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_tarski(E, B) & r2_tarski(F, B))  => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k7_partfun1(k2_numbers, C, E), k7_partfun1(k2_numbers, C, F))), k3_xcmplx_0(D, k2_normsp_0(A, k5_algstr_0(A, E, F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d21_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))))  =>  (r17_ncfcont1(A, B, C) <=>  (r1_tarski(B, k1_relset_1(u1_struct_0(A), C)) &  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_tarski(E, B) & r2_tarski(F, B))  => r1_xxreal_0(k9_complex1(k5_real_1(k7_partfun1(k1_numbers, C, E), k7_partfun1(k1_numbers, C, F))), k3_xcmplx_0(D, k2_normsp_0(A, k5_algstr_0(A, E, F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d22_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers))))  =>  (r18_ncfcont1(A, B, C) <=>  (r1_tarski(B, k1_relset_1(u1_struct_0(A), C)) &  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_tarski(E, B) & r2_tarski(F, B))  => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k7_partfun1(k2_numbers, C, E), k7_partfun1(k2_numbers, C, F))), k3_xcmplx_0(D, k2_normsp_0(A, k5_algstr_0(A, E, F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t97_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (r13_ncfcont1(A, B, C, E) & r1_tarski(D, C))  => r13_ncfcont1(A, B, D, E)) ) ) ) ) ) ) ) ) ).
fof(t98_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (r14_ncfcont1(A, B, C, E) & r1_tarski(D, C))  => r14_ncfcont1(A, B, D, E)) ) ) ) ) ) ) ) ) ).
fof(t99_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  ( (r15_ncfcont1(B, A, C, E) & r1_tarski(D, C))  => r15_ncfcont1(B, A, D, E)) ) ) ) ) ) ) ) ) ).
fof(t100_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (r13_ncfcont1(A, B, C, E) & r13_ncfcont1(A, B, D, F))  => r13_ncfcont1(A, B, k3_xboole_0(C, D), k3_vfunct_2(u1_struct_0(A), B, E, F))) ) ) ) ) ) ) ) ) ) ) ).
fof(t101_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (r14_ncfcont1(A, B, C, E) & r14_ncfcont1(A, B, D, F))  => r14_ncfcont1(A, B, k3_xboole_0(C, D), k6_vfunct_1(u1_struct_0(A), B, E, F))) ) ) ) ) ) ) ) ) ) ) ).
fof(t102_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  ( (r15_ncfcont1(B, A, C, E) & r15_ncfcont1(B, A, D, F))  => r15_ncfcont1(B, A, k3_xboole_0(C, D), k3_vfunct_2(u1_struct_0(B), A, E, F))) ) ) ) ) ) ) ) ) ) ) ).
fof(t103_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (r13_ncfcont1(A, B, C, E) & r13_ncfcont1(A, B, D, F))  => r13_ncfcont1(A, B, k3_xboole_0(C, D), k2_vfunct_1(u1_struct_0(A), B, E, F))) ) ) ) ) ) ) ) ) ) ) ).
fof(t104_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (r14_ncfcont1(A, B, C, E) & r14_ncfcont1(A, B, D, F))  => r14_ncfcont1(A, B, k3_xboole_0(C, D), k2_vfunct_1(u1_struct_0(A), B, E, F))) ) ) ) ) ) ) ) ) ) ) ).
fof(t105_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  ( (r15_ncfcont1(B, A, C, E) & r15_ncfcont1(B, A, D, F))  => r15_ncfcont1(B, A, k3_xboole_0(C, D), k2_vfunct_1(u1_struct_0(B), A, E, F))) ) ) ) ) ) ) ) ) ) ) ).
fof(t106_ncfcont1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_clvect_1(C) &  (v3_clvect_1(C) &  (v4_clvect_1(C) &  (v5_clvect_1(C) &  (v8_clvect_1(C) & l2_clvect_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (r13_ncfcont1(B, C, D, E) => r13_ncfcont1(B, C, D, k2_vfunct_2(u1_struct_0(B), C, E, A))) ) ) ) ) ) ) ) ) ) ).
fof(t107_ncfcont1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (r14_ncfcont1(B, C, D, E) => r14_ncfcont1(B, C, D, k4_vfunct_1(u1_struct_0(B), C, E, A))) ) ) ) ) ) ) ) ) ) ).
fof(t108_ncfcont1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(B)))))  =>  (r15_ncfcont1(C, B, D, E) => r15_ncfcont1(C, B, D, k2_vfunct_2(u1_struct_0(C), B, E, A))) ) ) ) ) ) ) ) ) ) ).
fof(t109_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (r13_ncfcont1(A, B, C, D) =>  (r13_ncfcont1(A, B, C, k5_vfunct_1(u1_struct_0(A), B, D)) & r17_ncfcont1(A, C, k4_normsp_0(u1_struct_0(A), B, D))) ) ) ) ) ) ) ) ) ).
fof(t110_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (r14_ncfcont1(A, B, C, D) =>  (r14_ncfcont1(A, B, C, k5_vfunct_1(u1_struct_0(A), B, D)) & r17_ncfcont1(A, C, k4_normsp_0(u1_struct_0(A), B, D))) ) ) ) ) ) ) ) ) ).
fof(t111_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  (r15_ncfcont1(B, A, C, D) =>  (r15_ncfcont1(B, A, C, k5_vfunct_1(u1_struct_0(B), A, D)) & r6_nfcont_1(B, C, k4_normsp_0(u1_struct_0(B), A, D))) ) ) ) ) ) ) ) ) ).
fof(t112_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (r1_tarski(C, k1_relset_1(u1_struct_0(A), D)) & v3_funct_1(k2_partfun1(u1_struct_0(A), u1_struct_0(B), D, C)))  => r13_ncfcont1(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t113_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (r1_tarski(C, k1_relset_1(u1_struct_0(A), D)) & v3_funct_1(k2_partfun1(u1_struct_0(A), u1_struct_0(B), D, C)))  => r14_ncfcont1(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t114_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  ( (r1_tarski(C, k1_relset_1(u1_struct_0(B), D)) & v3_funct_1(k2_partfun1(u1_struct_0(B), u1_struct_0(A), D, C)))  => r15_ncfcont1(B, A, C, D)) ) ) ) ) ) ) ) ).
fof(t115_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => r13_ncfcont1(A, A, B, k1_partfun2(u1_struct_0(A), B))) ) ) ) ).
fof(t116_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (r13_ncfcont1(A, B, C, D) => r7_ncfcont1(A, B, D, C)) ) ) ) ) ) ) ) ).
fof(t117_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (r14_ncfcont1(A, B, C, D) => r8_ncfcont1(A, B, D, C)) ) ) ) ) ) ) ) ).
fof(t118_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  (r15_ncfcont1(B, A, C, D) => r9_ncfcont1(B, A, D, C)) ) ) ) ) ) ) ) ).
fof(t119_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers))))  =>  (r16_ncfcont1(A, B, C) => r10_ncfcont1(A, C, B)) ) ) ) ) ) ).
fof(t120_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))))  =>  (r17_ncfcont1(A, B, C) => r11_ncfcont1(A, C, B)) ) ) ) ) ) ).
fof(t121_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k2_numbers))))  =>  (r18_ncfcont1(A, B, C) => r12_ncfcont1(A, C, B)) ) ) ) ) ) ).
fof(t122_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (? [D] :  (m1_subset_1(D, u1_struct_0(B)) & k2_relset_1(u1_struct_0(B), C)=k1_tarski(D)) )  => r7_ncfcont1(A, B, C, k1_relset_1(u1_struct_0(A), C))) ) ) ) ) ) ) ).
fof(t123_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (? [D] :  (m1_subset_1(D, u1_struct_0(B)) & k2_relset_1(u1_struct_0(B), C)=k1_tarski(D)) )  => r8_ncfcont1(A, B, C, k1_relset_1(u1_struct_0(A), C))) ) ) ) ) ) ) ).
fof(t124_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  ( (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & k2_relset_1(u1_struct_0(A), C)=k1_tarski(D)) )  => r9_ncfcont1(B, A, C, k1_relset_1(u1_struct_0(B), C))) ) ) ) ) ) ) ).
fof(t125_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (r1_tarski(C, k1_relset_1(u1_struct_0(A), D)) & v3_funct_1(k2_partfun1(u1_struct_0(A), u1_struct_0(B), D, C)))  => r7_ncfcont1(A, B, D, C)) ) ) ) ) ) ) ) ).
fof(t126_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (r1_tarski(C, k1_relset_1(u1_struct_0(A), D)) & v3_funct_1(k2_partfun1(u1_struct_0(A), u1_struct_0(B), D, C)))  => r8_ncfcont1(A, B, D, C)) ) ) ) ) ) ) ) ).
fof(t127_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  ( (r1_tarski(C, k1_relset_1(u1_struct_0(B), D)) & v3_funct_1(k2_partfun1(u1_struct_0(B), u1_struct_0(A), D, C)))  => r9_ncfcont1(B, A, D, C)) ) ) ) ) ) ) ) ).
fof(t128_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))))  =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, k1_relset_1(u1_struct_0(A), B)) => k7_partfun1(u1_struct_0(A), B, C)=C) ) )  => r7_ncfcont1(A, A, B, k1_relset_1(u1_struct_0(A), B))) ) ) ) ) ).
fof(t129_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))))  =>  (r2_relset_1(u1_struct_0(A), u1_struct_0(A), B, k1_partfun2(u1_struct_0(A), k1_relset_1(u1_struct_0(A), B))) => r7_ncfcont1(A, A, B, k1_relset_1(u1_struct_0(A), B))) ) ) ) ) ).
fof(t130_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r1_tarski(C, k1_relset_1(u1_struct_0(A), B)) & r2_relset_1(u1_struct_0(A), u1_struct_0(A), k2_partfun1(u1_struct_0(A), u1_struct_0(A), B, C), k1_partfun2(u1_struct_0(A), C)))  => r7_ncfcont1(A, A, B, C)) ) ) ) ) ) ) ).
fof(t131_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))))  =>  (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_tarski(B, k1_relset_1(u1_struct_0(A), C)) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r2_tarski(F, B) => k7_partfun1(u1_struct_0(A), C, F)=k3_rlvect_1(A, k1_clvect_1(A, F, D), E)) ) ) )  => r7_ncfcont1(A, A, C, B)) ) ) ) ) ) ) ) ) ) ).
fof(t132_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))))  =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, k1_relset_1(u1_struct_0(A), B)) => k7_partfun1(k1_numbers, B, C)=k2_normsp_0(A, C)) ) )  => r11_ncfcont1(A, B, k1_relset_1(u1_struct_0(A), B))) ) ) ) ) ).
fof(t133_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))))  =>  ( (r1_tarski(B, k1_relset_1(u1_struct_0(A), C)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, B) => k7_partfun1(k1_numbers, C, D)=k2_normsp_0(A, D)) ) ) )  => r11_ncfcont1(A, C, B)) ) ) ) ) ) ).
fof(dt_m1_ncfcont1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (! [C] :  (m1_ncfcont1(C, A, B) => m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ).
fof(existence_m1_ncfcont1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (? [C] : m1_ncfcont1(C, A, B)) ) ) ).
fof(d1_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (m1_ncfcont1(C, A, B) <=>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, k5_numbers))  & r1_tarski(a_3_0_ncfcont1(A, B, D), C)) ) ) ) ) ) ) ) ) ) ).
fof(t2_ncfcont1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  => m1_ncfcont1(a_3_0_ncfcont1(A, B, C), A, B)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_ncfcont1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_0_ncfcont1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E &  ~ (r1_xxreal_0(D, k2_normsp_0(B, k5_algstr_0(B, E, C)))) ) ) ) ) ) ) ).
fof(rc1_ncfcont2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v3_clopban1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v5_relat_1(B, u1_struct_0(A)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & v1_ncfcont2(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_ncfcont2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_clvect_1(C) &  (v3_clvect_1(C) &  (v4_clvect_1(C) &  (v5_clvect_1(C) &  (v8_clvect_1(C) & l2_clvect_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (r1_ncfcont2(A, B, C, D) <=>  (r1_tarski(A, k1_relset_1(u1_struct_0(B), D)) &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(F, k5_numbers))  &  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  ~ ( (r2_tarski(G, A) &  (r2_tarski(H, A) &  ( ~ (r1_xxreal_0(F, k2_normsp_0(B, k5_algstr_0(B, G, H))))  & r1_xxreal_0(E, k2_normsp_0(C, k5_algstr_0(C, k7_partfun1(u1_struct_0(C), D, G), k7_partfun1(u1_struct_0(C), D, H))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_ncfcont2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_clvect_1(C) &  (v3_clvect_1(C) &  (v4_clvect_1(C) &  (v5_clvect_1(C) &  (v8_clvect_1(C) & l2_clvect_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(B)))))  =>  (r2_ncfcont2(A, B, C, D) <=>  (r1_tarski(A, k1_relset_1(u1_struct_0(C), D)) &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(F, k5_numbers))  &  (! [G] :  (m1_subset_1(G, u1_struct_0(C)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(C)) =>  ~ ( (r2_tarski(G, A) &  (r2_tarski(H, A) &  ( ~ (r1_xxreal_0(F, k2_normsp_0(C, k5_algstr_0(C, G, H))))  & r1_xxreal_0(E, k2_normsp_0(B, k5_algstr_0(B, k7_partfun1(u1_struct_0(B), D, G), k7_partfun1(u1_struct_0(B), D, H))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_ncfcont2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_clvect_1(C) &  (v3_clvect_1(C) &  (v4_clvect_1(C) &  (v5_clvect_1(C) &  (v8_clvect_1(C) & l2_clvect_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (r3_ncfcont2(A, B, C, D) <=>  (r1_tarski(A, k1_relset_1(u1_struct_0(B), D)) &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(F, k5_numbers))  &  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  ~ ( (r2_tarski(G, A) &  (r2_tarski(H, A) &  ( ~ (r1_xxreal_0(F, k2_normsp_0(B, k5_algstr_0(B, G, H))))  & r1_xxreal_0(E, k2_normsp_0(C, k5_algstr_0(C, k7_partfun1(u1_struct_0(C), D, G), k7_partfun1(u1_struct_0(C), D, H))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_ncfcont2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k2_numbers))))  =>  (r4_ncfcont2(A, B, C) <=>  (r1_tarski(A, k1_relset_1(u1_struct_0(B), C)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  ~ ( (r2_tarski(F, A) &  (r2_tarski(G, A) &  ( ~ (r1_xxreal_0(E, k2_normsp_0(B, k5_algstr_0(B, F, G))))  & r1_xxreal_0(D, k9_complex1(k6_xcmplx_0(k7_partfun1(k2_numbers, C, F), k7_partfun1(k2_numbers, C, G))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_ncfcont2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_numbers))))  =>  (r5_ncfcont2(A, B, C) <=>  (r1_tarski(A, k1_relset_1(u1_struct_0(B), C)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  ~ ( (r2_tarski(F, A) &  (r2_tarski(G, A) &  ( ~ (r1_xxreal_0(E, k2_normsp_0(B, k5_algstr_0(B, F, G))))  & r1_xxreal_0(D, k9_complex1(k5_real_1(k7_partfun1(k1_numbers, C, F), k7_partfun1(k1_numbers, C, G))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_ncfcont2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k2_numbers))))  =>  (r6_ncfcont2(A, B, C) <=>  (r1_tarski(A, k1_relset_1(u1_struct_0(B), C)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  ~ ( (r2_tarski(F, A) &  (r2_tarski(G, A) &  ( ~ (r1_xxreal_0(E, k2_normsp_0(B, k5_algstr_0(B, F, G))))  & r1_xxreal_0(D, k9_complex1(k6_xcmplx_0(k7_partfun1(k2_numbers, C, F), k7_partfun1(k2_numbers, C, G))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_ncfcont2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_clvect_1(C) &  (v3_clvect_1(C) &  (v4_clvect_1(C) &  (v5_clvect_1(C) &  (v8_clvect_1(C) & l2_clvect_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v3_normsp_0(D) &  (v4_normsp_0(D) &  (v2_clvect_1(D) &  (v3_clvect_1(D) &  (v4_clvect_1(D) &  (v5_clvect_1(D) &  (v8_clvect_1(D) & l2_clvect_1(D)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D)))))  =>  ( (r1_ncfcont2(A, C, D, E) & r1_tarski(B, A))  => r1_ncfcont2(B, C, D, E)) ) ) ) ) ) ) ) ) ).
fof(t2_ncfcont2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v3_normsp_0(D) &  (v4_normsp_0(D) &  (v2_clvect_1(D) &  (v3_clvect_1(D) &  (v4_clvect_1(D) &  (v5_clvect_1(D) &  (v8_clvect_1(D) & l2_clvect_1(D)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(C)))))  =>  ( (r2_ncfcont2(A, C, D, E) & r1_tarski(B, A))  => r2_ncfcont2(B, C, D, E)) ) ) ) ) ) ) ) ) ).
fof(t3_ncfcont2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v3_normsp_0(D) &  (v4_normsp_0(D) &  (v2_clvect_1(D) &  (v3_clvect_1(D) &  (v4_clvect_1(D) &  (v5_clvect_1(D) &  (v8_clvect_1(D) & l2_clvect_1(D)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D)))))  =>  ( (r3_ncfcont2(A, C, D, E) & r1_tarski(B, A))  => r3_ncfcont2(B, C, D, E)) ) ) ) ) ) ) ) ) ).
fof(t4_ncfcont2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_clvect_1(C) &  (v3_clvect_1(C) &  (v4_clvect_1(C) &  (v5_clvect_1(C) &  (v8_clvect_1(C) & l2_clvect_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v3_normsp_0(D) &  (v4_normsp_0(D) &  (v2_clvect_1(D) &  (v3_clvect_1(D) &  (v4_clvect_1(D) &  (v5_clvect_1(D) &  (v8_clvect_1(D) & l2_clvect_1(D)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D)))))  =>  ( (r1_ncfcont2(A, C, D, E) & r1_ncfcont2(B, C, D, F))  => r1_ncfcont2(k3_xboole_0(A, B), C, D, k3_vfunct_2(u1_struct_0(C), D, E, F))) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_ncfcont2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v3_normsp_0(D) &  (v4_normsp_0(D) &  (v2_clvect_1(D) &  (v3_clvect_1(D) &  (v4_clvect_1(D) &  (v5_clvect_1(D) &  (v8_clvect_1(D) & l2_clvect_1(D)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(C)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(C)))))  =>  ( (r2_ncfcont2(A, C, D, E) & r2_ncfcont2(B, C, D, F))  => r2_ncfcont2(k3_xboole_0(A, B), C, D, k6_vfunct_1(u1_struct_0(D), C, E, F))) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_ncfcont2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v3_normsp_0(D) &  (v4_normsp_0(D) &  (v2_clvect_1(D) &  (v3_clvect_1(D) &  (v4_clvect_1(D) &  (v5_clvect_1(D) &  (v8_clvect_1(D) & l2_clvect_1(D)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D)))))  =>  ( (r3_ncfcont2(A, C, D, E) & r3_ncfcont2(B, C, D, F))  => r3_ncfcont2(k3_xboole_0(A, B), C, D, k3_vfunct_2(u1_struct_0(C), D, E, F))) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_ncfcont2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_clvect_1(C) &  (v3_clvect_1(C) &  (v4_clvect_1(C) &  (v5_clvect_1(C) &  (v8_clvect_1(C) & l2_clvect_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v3_normsp_0(D) &  (v4_normsp_0(D) &  (v2_clvect_1(D) &  (v3_clvect_1(D) &  (v4_clvect_1(D) &  (v5_clvect_1(D) &  (v8_clvect_1(D) & l2_clvect_1(D)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D)))))  =>  ( (r1_ncfcont2(A, C, D, E) & r1_ncfcont2(B, C, D, F))  => r1_ncfcont2(k3_xboole_0(A, B), C, D, k2_vfunct_1(u1_struct_0(C), D, E, F))) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_ncfcont2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v3_normsp_0(D) &  (v4_normsp_0(D) &  (v2_clvect_1(D) &  (v3_clvect_1(D) &  (v4_clvect_1(D) &  (v5_clvect_1(D) &  (v8_clvect_1(D) & l2_clvect_1(D)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(C)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(C)))))  =>  ( (r2_ncfcont2(A, C, D, E) & r2_ncfcont2(B, C, D, F))  => r2_ncfcont2(k3_xboole_0(A, B), C, D, k2_vfunct_1(u1_struct_0(D), C, E, F))) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_ncfcont2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v3_normsp_0(D) &  (v4_normsp_0(D) &  (v2_clvect_1(D) &  (v3_clvect_1(D) &  (v4_clvect_1(D) &  (v5_clvect_1(D) &  (v8_clvect_1(D) & l2_clvect_1(D)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D)))))  =>  ( (r3_ncfcont2(A, C, D, E) & r3_ncfcont2(B, C, D, F))  => r3_ncfcont2(k3_xboole_0(A, B), C, D, k2_vfunct_1(u1_struct_0(C), D, E, F))) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_ncfcont2, axiom,  (! [A] :  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_clvect_1(C) &  (v3_clvect_1(C) &  (v4_clvect_1(C) &  (v5_clvect_1(C) &  (v8_clvect_1(C) & l2_clvect_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v3_normsp_0(D) &  (v4_normsp_0(D) &  (v2_clvect_1(D) &  (v3_clvect_1(D) &  (v4_clvect_1(D) &  (v5_clvect_1(D) &  (v8_clvect_1(D) & l2_clvect_1(D)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D)))))  =>  (r1_ncfcont2(A, C, D, E) => r1_ncfcont2(A, C, D, k2_vfunct_2(u1_struct_0(C), D, E, B))) ) ) ) ) ) ) ) ) ) ).
fof(t11_ncfcont2, axiom,  (! [A] :  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v3_normsp_0(D) &  (v4_normsp_0(D) &  (v2_clvect_1(D) &  (v3_clvect_1(D) &  (v4_clvect_1(D) &  (v5_clvect_1(D) &  (v8_clvect_1(D) & l2_clvect_1(D)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(C)))))  =>  (r2_ncfcont2(A, C, D, E) => r2_ncfcont2(A, C, D, k4_vfunct_1(u1_struct_0(D), C, E, B))) ) ) ) ) ) ) ) ) ) ).
fof(t12_ncfcont2, axiom,  (! [A] :  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v3_normsp_0(D) &  (v4_normsp_0(D) &  (v2_clvect_1(D) &  (v3_clvect_1(D) &  (v4_clvect_1(D) &  (v5_clvect_1(D) &  (v8_clvect_1(D) & l2_clvect_1(D)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D)))))  =>  (r3_ncfcont2(A, C, D, E) => r3_ncfcont2(A, C, D, k2_vfunct_2(u1_struct_0(C), D, E, B))) ) ) ) ) ) ) ) ) ) ).
fof(t13_ncfcont2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_clvect_1(C) &  (v3_clvect_1(C) &  (v4_clvect_1(C) &  (v5_clvect_1(C) &  (v8_clvect_1(C) & l2_clvect_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (r1_ncfcont2(A, B, C, D) => r1_ncfcont2(A, B, C, k5_vfunct_1(u1_struct_0(B), C, D))) ) ) ) ) ) ) ) ).
fof(t14_ncfcont2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_clvect_1(C) &  (v3_clvect_1(C) &  (v4_clvect_1(C) &  (v5_clvect_1(C) &  (v8_clvect_1(C) & l2_clvect_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(B)))))  =>  (r2_ncfcont2(A, B, C, D) => r2_ncfcont2(A, B, C, k5_vfunct_1(u1_struct_0(C), B, D))) ) ) ) ) ) ) ) ).
fof(t15_ncfcont2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_clvect_1(C) &  (v3_clvect_1(C) &  (v4_clvect_1(C) &  (v5_clvect_1(C) &  (v8_clvect_1(C) & l2_clvect_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (r3_ncfcont2(A, B, C, D) => r3_ncfcont2(A, B, C, k5_vfunct_1(u1_struct_0(B), C, D))) ) ) ) ) ) ) ) ).
fof(t16_ncfcont2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_clvect_1(C) &  (v3_clvect_1(C) &  (v4_clvect_1(C) &  (v5_clvect_1(C) &  (v8_clvect_1(C) & l2_clvect_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (r1_ncfcont2(A, B, C, D) => r5_ncfcont2(A, B, k4_normsp_0(u1_struct_0(B), C, D))) ) ) ) ) ) ) ) ).
fof(t17_ncfcont2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_clvect_1(C) &  (v3_clvect_1(C) &  (v4_clvect_1(C) &  (v5_clvect_1(C) &  (v8_clvect_1(C) & l2_clvect_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(B)))))  =>  (r2_ncfcont2(A, B, C, D) => r5_ncfcont2(A, C, k4_normsp_0(u1_struct_0(C), B, D))) ) ) ) ) ) ) ) ).
fof(t18_ncfcont2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_clvect_1(C) &  (v3_clvect_1(C) &  (v4_clvect_1(C) &  (v5_clvect_1(C) &  (v8_clvect_1(C) & l2_clvect_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (r3_ncfcont2(A, B, C, D) => r2_nfcont_2(A, B, k4_normsp_0(u1_struct_0(B), C, D))) ) ) ) ) ) ) ) ).
fof(t19_ncfcont2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_clvect_1(C) &  (v3_clvect_1(C) &  (v4_clvect_1(C) &  (v5_clvect_1(C) &  (v8_clvect_1(C) & l2_clvect_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (r1_ncfcont2(A, B, C, D) => r7_ncfcont1(B, C, D, A)) ) ) ) ) ) ) ) ).
fof(t20_ncfcont2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_clvect_1(C) &  (v3_clvect_1(C) &  (v4_clvect_1(C) &  (v5_clvect_1(C) &  (v8_clvect_1(C) & l2_clvect_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(B)))))  =>  (r2_ncfcont2(A, B, C, D) => r8_ncfcont1(C, B, D, A)) ) ) ) ) ) ) ) ).
fof(t21_ncfcont2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_clvect_1(C) &  (v3_clvect_1(C) &  (v4_clvect_1(C) &  (v5_clvect_1(C) &  (v8_clvect_1(C) & l2_clvect_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (r3_ncfcont2(A, B, C, D) => r9_ncfcont1(B, C, D, A)) ) ) ) ) ) ) ) ).
fof(t22_ncfcont2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k2_numbers))))  =>  (r4_ncfcont2(A, B, C) => r10_ncfcont1(B, C, A)) ) ) ) ) ) ).
fof(t23_ncfcont2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_numbers))))  =>  (r5_ncfcont2(A, B, C) => r11_ncfcont1(B, C, A)) ) ) ) ) ) ).
fof(t24_ncfcont2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k2_numbers))))  =>  (r6_ncfcont2(A, B, C) => r12_ncfcont1(B, C, A)) ) ) ) ) ) ).
fof(t25_ncfcont2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_clvect_1(C) &  (v3_clvect_1(C) &  (v4_clvect_1(C) &  (v5_clvect_1(C) &  (v8_clvect_1(C) & l2_clvect_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (r13_ncfcont1(B, C, A, D) => r1_ncfcont2(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t26_ncfcont2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_clvect_1(C) &  (v3_clvect_1(C) &  (v4_clvect_1(C) &  (v5_clvect_1(C) &  (v8_clvect_1(C) & l2_clvect_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(B)))))  =>  (r14_ncfcont1(C, B, A, D) => r2_ncfcont2(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t27_ncfcont2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_clvect_1(C) &  (v3_clvect_1(C) &  (v4_clvect_1(C) &  (v5_clvect_1(C) &  (v8_clvect_1(C) & l2_clvect_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (r15_ncfcont1(B, C, A, D) => r3_ncfcont2(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t28_ncfcont2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_ncfcont1(D, A) & r7_ncfcont1(A, B, C, D))  => r1_ncfcont2(D, A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t29_ncfcont2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  ( (v1_ncfcont1(D, B) & r8_ncfcont1(B, A, C, D))  => r2_ncfcont2(D, A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t30_ncfcont2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_nfcont_1(D, A) & r9_ncfcont1(A, B, C, D))  => r3_ncfcont2(D, A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t31_ncfcont2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r1_tarski(D, k1_relset_1(u1_struct_0(A), C)) &  (v1_ncfcont1(D, A) & r1_ncfcont2(D, A, B, C)) )  => v1_ncfcont1(k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t32_ncfcont2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  ( (r1_tarski(D, k1_relset_1(u1_struct_0(B), C)) &  (v1_ncfcont1(D, B) & r2_ncfcont2(D, A, B, C)) )  => v1_nfcont_1(k7_relset_1(u1_struct_0(B), u1_struct_0(A), C, D), A)) ) ) ) ) ) ) ) ) ).
fof(t33_ncfcont2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r1_tarski(D, k1_relset_1(u1_struct_0(A), C)) &  (v1_nfcont_1(D, A) & r3_ncfcont2(D, A, B, C)) )  => v1_ncfcont1(k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t34_ncfcont2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( ~ (C=k1_xboole_0)  &  (r1_tarski(C, k1_relset_1(u1_struct_0(A), B)) &  (v1_ncfcont1(C, A) &  (r5_ncfcont2(C, A, B) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_tarski(D, C) &  (r2_tarski(E, C) &  (k7_partfun1(k1_numbers, B, D)=k2_seq_4(k7_relset_1(u1_struct_0(A), k1_numbers, B, C)) & k7_partfun1(k1_numbers, B, E)=k3_seq_4(k7_relset_1(u1_struct_0(A), k1_numbers, B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_ncfcont2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_clvect_1(B) &  (v3_clvect_1(B) &  (v4_clvect_1(B) &  (v5_clvect_1(B) &  (v8_clvect_1(B) & l2_clvect_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_clvect_1(C) &  (v3_clvect_1(C) &  (v4_clvect_1(C) &  (v5_clvect_1(C) &  (v8_clvect_1(C) & l2_clvect_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  ( (r1_tarski(A, k1_relset_1(u1_struct_0(B), D)) & v3_funct_1(k2_partfun1(u1_struct_0(B), u1_struct_0(C), D, A)))  => r1_ncfcont2(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t36_ncfcont2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_clvect_1(C) &  (v3_clvect_1(C) &  (v4_clvect_1(C) &  (v5_clvect_1(C) &  (v8_clvect_1(C) & l2_clvect_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(B)))))  =>  ( (r1_tarski(A, k1_relset_1(u1_struct_0(C), D)) & v3_funct_1(k2_partfun1(u1_struct_0(C), u1_struct_0(B), D, A)))  => r2_ncfcont2(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t37_ncfcont2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_clvect_1(C) &  (v3_clvect_1(C) &  (v4_clvect_1(C) &  (v5_clvect_1(C) &  (v8_clvect_1(C) & l2_clvect_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  ( (r1_tarski(A, k1_relset_1(u1_struct_0(B), D)) & v3_funct_1(k2_partfun1(u1_struct_0(B), u1_struct_0(C), D, A)))  => r3_ncfcont2(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(d7_ncfcont2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_clvect_1(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (v1_ncfcont2(B, A) <=>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  ( ~ (r1_xxreal_0(1, C))  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => r1_xxreal_0(k2_normsp_0(A, k5_algstr_0(A, k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, D), k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, E))), k3_xcmplx_0(C, k2_normsp_0(A, k5_algstr_0(A, D, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_ncfcont2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ ( ( ~ (r1_xxreal_0(k2_normsp_0(A, k5_algstr_0(A, B, C)), k5_numbers))  & B=C) )  &  ~ ( ( ~ (B=C)  & r1_xxreal_0(k2_normsp_0(A, k5_algstr_0(A, B, C)), k5_numbers)) ) ) ) ) ) ) ) ) ).
fof(t39_ncfcont2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_normsp_0(A, k5_algstr_0(A, B, C))=k2_normsp_0(A, k5_algstr_0(A, C, B))) ) ) ) ) ) ).
fof(t40_ncfcont2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v3_clopban1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  ~ ( ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v1_ncfcont2(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, C)=C &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, D)=D => C=D) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_ncfcont2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_clvect_1(A) &  (v3_clvect_1(A) &  (v4_clvect_1(A) &  (v5_clvect_1(A) &  (v8_clvect_1(A) &  (v3_clopban1(A) & l2_clvect_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  ~ ( ( (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (v1_funct_1(k8_funct_7(B, C)) &  (v1_funct_2(k8_funct_7(B, C), u1_struct_0(A), u1_struct_0(A)) &  (v1_ncfcont2(k8_funct_7(B, C), A) & m1_subset_1(k8_funct_7(B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, C)=C &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, D)=D => C=D) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v12_struct_0(B, k4_ordinal1, A) & v1_ndiff_1(B, A, k4_struct_0(A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & v1_ndiff_1(B, A, k4_struct_0(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v3_funct_1(B) &  (v1_partfun1(B, k4_ordinal1) & v1_funct_2(B, k4_ordinal1, u1_struct_0(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(rc4_ndiff_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v2_ndiff_1(C, A, B)) ) ) ) ) ) ) ) ).
fof(fc1_ndiff_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_ndiff_1(B, A, k4_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  & m1_subset_1(C, k4_ordinal1)) )  =>  (v1_funct_1(k6_nat_1(B, C)) &  (v1_funct_2(k6_nat_1(B, C), k4_ordinal1, u1_struct_0(A)) & v1_ndiff_1(k6_nat_1(B, C), A, k4_struct_0(A))) ) ) ) ).
fof(fc2_ndiff_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v12_struct_0(B, k4_ordinal1, A) &  (v1_ndiff_1(B, A, k4_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  & m1_subset_1(C, k4_ordinal1)) )  =>  (v1_funct_1(k6_nat_1(B, C)) &  (v1_funct_2(k6_nat_1(B, C), k4_ordinal1, u1_struct_0(A)) &  (v12_struct_0(k6_nat_1(B, C), k4_ordinal1, A) & v1_ndiff_1(k6_nat_1(B, C), A, k4_struct_0(A))) ) ) ) ) ).
fof(t1_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_nfcont_1(C, A, B) =>  (! [D] :  (m1_nfcont_1(D, A, B) =>  (? [E] :  (m1_nfcont_1(E, A, B) &  (r1_tarski(E, C) & r1_tarski(E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_nfcont_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r2_tarski(C, B) &  (! [D] :  (m1_nfcont_1(D, A, C) =>  ~ (r1_tarski(D, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r2_tarski(C, B) &  (! [D] :  (m1_nfcont_1(D, A, C) =>  ~ (r1_tarski(D, B)) ) ) ) ) ) )  => v3_nfcont_1(B, A)) ) ) ) ) ).
fof(t5_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r2_tarski(C, B) &  (! [D] :  (m1_nfcont_1(D, A, C) =>  ~ (r1_tarski(D, B)) ) ) ) ) ) )  <=> v3_nfcont_1(B, A)) ) ) ) ) ).
fof(d1_ndiff_1, axiom,  (! [A] :  (! [B] :  (l2_struct_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  =>  (v12_struct_0(C, A, B) <=> r1_tarski(k2_relset_1(u1_struct_0(B), C), k8_struct_0(B))) ) ) ) ) ) ).
fof(t6_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v12_struct_0(B, k4_ordinal1, A) <=>  (! [C] :  ~ ( (r2_tarski(C, k4_ordinal1) & k1_funct_1(B, C)=k4_struct_0(A)) ) ) ) ) ) ) ) ).
fof(t7_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v12_struct_0(B, k4_ordinal1, A) <=>  (! [C] :  (v7_ordinal1(C) =>  ~ (k1_normsp_0(A, B, C)=k4_struct_0(A)) ) ) ) ) ) ) ) ).
fof(d2_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (D=k1_ndiff_1(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) => k1_normsp_0(A, D, E)=k1_rlvect_1(A, k1_normsp_0(A, B, E), k8_nat_1(k1_numbers, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (D=k2_ndiff_1(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) => k1_normsp_0(A, D, E)=k1_rlvect_1(A, B, k8_nat_1(k1_numbers, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k1_ndiff_1(A, B, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, C, D)), k1_normsp_1(A, k1_ndiff_1(A, B, C), k1_ndiff_1(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t9_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k1_ndiff_1(A, k1_normsp_1(A, C, D), B), k1_normsp_1(A, k1_ndiff_1(A, C, B), k1_ndiff_1(A, D, B)))) ) ) ) ) ) ) ) ).
fof(t10_ndiff_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(B), k4_normsp_1(B, k1_ndiff_1(B, C, D), A), k1_ndiff_1(B, k4_normsp_1(B, C, A), D))) ) ) ) ) ) ) ) ).
fof(t11_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k1_ndiff_1(A, B, k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, C, D)), k2_normsp_1(A, k1_ndiff_1(A, B, C), k1_ndiff_1(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t12_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k1_ndiff_1(A, k2_normsp_1(A, C, D), B), k2_normsp_1(A, k1_ndiff_1(A, C, B), k1_ndiff_1(A, D, B)))) ) ) ) ) ) ) ) ).
fof(t13_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v2_comseq_2(B) & v3_normsp_1(C, A))  => v3_normsp_1(k1_ndiff_1(A, C, B), A)) ) ) ) ) ) ) ).
fof(t14_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v2_comseq_2(B) & v3_normsp_1(C, A))  => k5_normsp_1(A, k1_ndiff_1(A, C, B))=k1_rlvect_1(A, k5_normsp_1(A, C), k1_seq_2(B))) ) ) ) ) ) ) ).
fof(t15_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  (v7_ordinal1(D) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k1_valued_0(u1_struct_0(A), k1_normsp_1(A, B, C), D), k1_normsp_1(A, k1_valued_0(u1_struct_0(A), B, D), k1_valued_0(u1_struct_0(A), C, D)))) ) ) ) ) ) ) ) ).
fof(t16_ndiff_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(B), k1_valued_0(u1_struct_0(B), k2_normsp_1(B, C, D), A), k2_normsp_1(B, k1_valued_0(u1_struct_0(B), C, A), k1_valued_0(u1_struct_0(B), D, A)))) ) ) ) ) ) ) ) ).
fof(t17_ndiff_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  (v12_struct_0(C, k4_ordinal1, B) => v12_struct_0(k1_valued_0(u1_struct_0(B), C, A), k4_ordinal1, B)) ) ) ) ) ) ) ).
fof(d4_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_ndiff_1(C, A, B) <=>  (v3_normsp_1(C, A) & k5_normsp_1(A, C)=B) ) ) ) ) ) ) ) ).
fof(t18_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v3_funct_1(B) =>  (v3_normsp_1(B, A) &  (! [C] :  (m1_subset_1(C, k4_ordinal1) => k5_normsp_1(A, B)=k1_normsp_0(A, B, C)) ) ) ) ) ) ) ) ).
fof(t19_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  ( (! [E] :  (v7_ordinal1(E) => k1_normsp_0(A, B, E)=k1_rlvect_1(A, C, k7_xcmplx_0(1, k2_xcmplx_0(E, D)))) )  =>  (r1_xxreal_0(D, k5_numbers) | v3_normsp_1(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(t20_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  ( (! [E] :  (v7_ordinal1(E) => k1_normsp_0(A, B, E)=k1_rlvect_1(A, C, k7_xcmplx_0(1, k2_xcmplx_0(E, D)))) )  =>  (r1_xxreal_0(D, k5_numbers) | k5_normsp_1(A, B)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ).
fof(t21_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v9_ordinal1(B) &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(B, k5_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (C=k4_struct_0(A))  =>  (v12_struct_0(k2_ndiff_1(A, C, B), k4_ordinal1, A) & v1_ndiff_1(k2_ndiff_1(A, C, B), A, k4_struct_0(A))) ) ) ) ) ) ) ) ).
fof(t22_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) <=> r2_tarski(C, u1_struct_0(A))) ) )  <=> B=u1_struct_0(A)) ) ) ) ) ).
fof(d5_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (v2_ndiff_1(C, A, B) <=>  (v1_partfun1(C, u1_struct_0(A)) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) &  (v1_ndiff_1(D, A, k4_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (v12_struct_0(D, k4_ordinal1, A) =>  (v3_normsp_1(k1_ndiff_1(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), D, C), k37_valued_1(k4_ordinal1, k1_numbers, k5_normsp_0(A, D))), B) & k5_normsp_1(B, k1_ndiff_1(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), D, C), k37_valued_1(k4_ordinal1, k1_numbers, k5_normsp_0(A, D))))=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (v1_partfun1(C, u1_struct_0(A)) =>  (v2_ndiff_1(C, A, B) <=>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( ( ~ (F=k4_struct_0(A))  &  ( ~ (r1_xxreal_0(E, k2_normsp_0(A, F)))  & r1_xxreal_0(D, k3_xcmplx_0(k5_xcmplx_0(k2_normsp_0(A, F)), k2_normsp_0(B, k7_partfun1(u1_struct_0(B), C, F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v2_ndiff_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) &  (v1_ndiff_1(D, A, k4_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (v12_struct_0(D, k4_ordinal1, A) =>  (v3_normsp_1(k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), D, C), B) & k5_normsp_1(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), D, C))=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ).
fof(t25_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_partfun1(C, u1_struct_0(A)) & v1_partfun1(D, u1_struct_0(A)))  =>  (r2_funct_2(k4_ordinal1, u1_struct_0(B), k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, k6_vfunct_1(u1_struct_0(A), B, C, D)), k1_normsp_1(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, C), k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, D))) & r2_funct_2(k4_ordinal1, u1_struct_0(B), k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, k2_vfunct_1(u1_struct_0(A), B, C, D)), k2_normsp_1(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, C), k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [E] :  (v1_xreal_0(E) =>  (v1_partfun1(C, u1_struct_0(A)) => r2_funct_2(k4_ordinal1, u1_struct_0(B), k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), D, k4_vfunct_1(u1_struct_0(A), B, C, E)), k4_normsp_1(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), D, C), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_nfcont_1(A, B, C, D) <=>  (r2_tarski(D, k1_relset_1(u1_struct_0(A), C)) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (r1_tarski(k2_relset_1(u1_struct_0(A), E), k1_relset_1(u1_struct_0(A), C)) &  (v3_normsp_1(E, A) &  (k5_normsp_1(A, E)=D &  (! [F] :  (v7_ordinal1(F) =>  ~ (k1_normsp_0(A, E, F)=D) ) ) ) ) )  =>  (v3_normsp_1(k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, C), B) & k7_partfun1(u1_struct_0(B), C, D)=k5_normsp_1(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v2_ndiff_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v2_ndiff_1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ( (v1_funct_1(k6_vfunct_1(u1_struct_0(A), B, C, D)) &  (v2_ndiff_1(k6_vfunct_1(u1_struct_0(A), B, C, D), A, B) & m1_subset_1(k6_vfunct_1(u1_struct_0(A), B, C, D), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  &  (v1_funct_1(k2_vfunct_1(u1_struct_0(A), B, C, D)) &  (v2_ndiff_1(k2_vfunct_1(u1_struct_0(A), B, C, D), A, B) & m1_subset_1(k2_vfunct_1(u1_struct_0(A), B, C, D), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v2_ndiff_1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v1_funct_1(k4_vfunct_1(u1_struct_0(A), B, D, C)) &  (v2_ndiff_1(k4_vfunct_1(u1_struct_0(A), B, D, C), A, B) & m1_subset_1(k4_vfunct_1(u1_struct_0(A), B, D, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) ) ) ) ) ) ).
fof(d6_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_ndiff_1(A, B, C, D) <=>  (? [E] :  (m1_nfcont_1(E, A, D) &  (r1_tarski(E, k1_relset_1(u1_struct_0(A), C)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(k16_lopban_1(A, B))) &  (? [G] :  ( (v1_funct_1(G) &  (v2_ndiff_1(G, A, B) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  &  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (r2_tarski(H, E) => k5_algstr_0(B, k7_partfun1(u1_struct_0(B), C, H), k7_partfun1(u1_struct_0(B), C, D))=k3_rlvect_1(B, k17_lopban_1(A, B, F, k5_algstr_0(A, H, D)), k7_partfun1(u1_struct_0(B), G, k5_algstr_0(A, H, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_ndiff_1(A, B, C, D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k16_lopban_1(A, B))) =>  (E=k3_ndiff_1(A, B, C, D) <=>  (? [F] :  (m1_nfcont_1(F, A, D) &  (r1_tarski(F, k1_relset_1(u1_struct_0(A), C)) &  (? [G] :  ( (v1_funct_1(G) &  (v2_ndiff_1(G, A, B) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  &  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (r2_tarski(H, F) => k5_algstr_0(B, k7_partfun1(u1_struct_0(B), C, H), k7_partfun1(u1_struct_0(B), C, D))=k3_rlvect_1(B, k17_lopban_1(A, B, E, k5_algstr_0(A, H, D)), k7_partfun1(u1_struct_0(B), G, k5_algstr_0(A, H, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_ndiff_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (r2_ndiff_1(A, B, C, D) <=>  (r1_tarski(A, k1_relset_1(u1_struct_0(B), D)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (r2_tarski(E, A) => r1_ndiff_1(B, C, k2_partfun1(u1_struct_0(B), u1_struct_0(C), D, A), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_ndiff_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (r2_ndiff_1(A, B, C, D) => m1_subset_1(A, k1_zfmisc_1(u1_struct_0(B)))) ) ) ) ) ) ) ) ).
fof(t31_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_nfcont_1(D, A) =>  (r2_ndiff_1(D, A, B, C) <=>  (r1_tarski(D, k1_relset_1(u1_struct_0(A), C)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(E, D) => r1_ndiff_1(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_ndiff_1(D, A, B, C) => v3_nfcont_1(D, A)) ) ) ) ) ) ) ) ) ).
fof(d9_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (r2_ndiff_1(D, A, B, C) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k16_lopban_1(A, B))))))  =>  (E=k4_ndiff_1(A, B, C, D) <=>  (k1_relset_1(u1_struct_0(A), E)=D &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r2_tarski(F, D) => k7_partfun1(u1_struct_0(k16_lopban_1(A, B)), E, F)=k3_ndiff_1(A, B, C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v3_nfcont_1(D, A) & r1_tarski(D, k1_relset_1(u1_struct_0(A), C)))  =>  ( (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  ~ (k2_relset_1(u1_struct_0(B), C)=k1_tarski(E)) ) )  |  (r2_ndiff_1(D, A, B, C) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(E, D) => k7_partfun1(u1_struct_0(k16_lopban_1(A, B)), k4_ndiff_1(A, B, C, D), E)=k4_struct_0(k16_lopban_1(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_nfcont_1(E, A, D) =>  ( (r1_ndiff_1(A, B, C, D) & r1_tarski(E, k1_relset_1(u1_struct_0(A), C)))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, u1_struct_0(A)) &  (v1_ndiff_1(F, A, k4_struct_0(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (v12_struct_0(F, k4_ordinal1, A) =>  (! [G] :  ( (v1_funct_1(G) &  (v3_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ( (k2_relset_1(u1_struct_0(A), G)=k1_tarski(D) & r1_tarski(k2_relset_1(u1_struct_0(A), k1_normsp_1(A, F, G)), E))  =>  (v3_normsp_1(k2_normsp_1(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), k1_normsp_1(A, F, G), C), k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), G, C)), B) & k5_normsp_1(B, k2_normsp_1(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), k1_normsp_1(A, F, G), C), k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), G, C)))=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_ndiff_1(A, B, C, E) & r1_ndiff_1(A, B, D, E))  =>  (r1_ndiff_1(A, B, k6_vfunct_1(u1_struct_0(A), B, C, D), E) & k3_ndiff_1(A, B, k6_vfunct_1(u1_struct_0(A), B, C, D), E)=k3_rlvect_1(k16_lopban_1(A, B), k3_ndiff_1(A, B, C, E), k3_ndiff_1(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_ndiff_1(A, B, C, E) & r1_ndiff_1(A, B, D, E))  =>  (r1_ndiff_1(A, B, k2_vfunct_1(u1_struct_0(A), B, C, D), E) & k3_ndiff_1(A, B, k2_vfunct_1(u1_struct_0(A), B, C, D), E)=k5_algstr_0(k16_lopban_1(A, B), k3_ndiff_1(A, B, C, E), k3_ndiff_1(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_ndiff_1(A, B, D, E) =>  (r1_ndiff_1(A, B, k4_vfunct_1(u1_struct_0(A), B, D, C), E) & k3_ndiff_1(A, B, k4_vfunct_1(u1_struct_0(A), B, D, C), E)=k1_rlvect_1(k16_lopban_1(A, B), k3_ndiff_1(A, B, D, E), C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v3_nfcont_1(C, A) &  (r1_tarski(C, k1_relset_1(u1_struct_0(A), B)) & k2_partfun1(u1_struct_0(A), u1_struct_0(A), B, C)=k6_partfun1(C)) )  =>  (r2_ndiff_1(C, A, A, B) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, C) => k7_partfun1(u1_struct_0(k16_lopban_1(A, A)), k4_ndiff_1(A, A, B, C), D)=k6_partfun1(u1_struct_0(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_nfcont_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (r1_tarski(C, k1_relset_1(u1_struct_0(A), k6_vfunct_1(u1_struct_0(A), B, D, E))) &  (r2_ndiff_1(C, A, B, D) & r2_ndiff_1(C, A, B, E)) )  =>  (r2_ndiff_1(C, A, B, k6_vfunct_1(u1_struct_0(A), B, D, E)) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r2_tarski(F, C) => k7_partfun1(u1_struct_0(k16_lopban_1(A, B)), k4_ndiff_1(A, B, k6_vfunct_1(u1_struct_0(A), B, D, E), C), F)=k3_rlvect_1(k16_lopban_1(A, B), k3_ndiff_1(A, B, D, F), k3_ndiff_1(A, B, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_nfcont_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (r1_tarski(C, k1_relset_1(u1_struct_0(A), k2_vfunct_1(u1_struct_0(A), B, D, E))) &  (r2_ndiff_1(C, A, B, D) & r2_ndiff_1(C, A, B, E)) )  =>  (r2_ndiff_1(C, A, B, k2_vfunct_1(u1_struct_0(A), B, D, E)) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r2_tarski(F, C) => k7_partfun1(u1_struct_0(k16_lopban_1(A, B)), k4_ndiff_1(A, B, k2_vfunct_1(u1_struct_0(A), B, D, E), C), F)=k5_algstr_0(k16_lopban_1(A, B), k3_ndiff_1(A, B, D, F), k3_ndiff_1(A, B, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_nfcont_1(C, A) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (r1_tarski(C, k1_relset_1(u1_struct_0(A), k4_vfunct_1(u1_struct_0(A), B, E, D))) & r2_ndiff_1(C, A, B, E))  =>  (r2_ndiff_1(C, A, B, k4_vfunct_1(u1_struct_0(A), B, E, D)) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r2_tarski(F, C) => k7_partfun1(u1_struct_0(k16_lopban_1(A, B)), k4_ndiff_1(A, B, k4_vfunct_1(u1_struct_0(A), B, E, D), C), F)=k1_rlvect_1(k16_lopban_1(A, B), k3_ndiff_1(A, B, E, F), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v3_nfcont_1(D, A) &  (r1_tarski(D, k1_relset_1(u1_struct_0(A), C)) & v3_funct_1(k2_partfun1(u1_struct_0(A), u1_struct_0(B), C, D))) )  =>  (r2_ndiff_1(D, A, B, C) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(E, D) => k7_partfun1(u1_struct_0(k16_lopban_1(A, B)), k4_ndiff_1(A, B, C, D), E)=k4_struct_0(k16_lopban_1(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))))  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v3_nfcont_1(E, A) &  (r1_tarski(E, k1_relset_1(u1_struct_0(A), B)) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r2_tarski(F, E) => k7_partfun1(u1_struct_0(A), B, F)=k3_rlvect_1(A, k1_rlvect_1(A, F, C), D)) ) ) ) )  =>  (r2_ndiff_1(E, A, A, B) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r2_tarski(F, E) => k7_partfun1(u1_struct_0(k16_lopban_1(A, A)), k4_ndiff_1(A, A, B, E), F)=k4_lopban_2(A, k6_lopban_2(A), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_ndiff_1(A, B, C, D) => r1_nfcont_1(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t45_ndiff_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (r2_ndiff_1(A, B, C, D) => r3_nfcont_1(B, C, D, A)) ) ) ) ) ) ) ) ).
fof(t46_ndiff_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) =>  ( (v3_nfcont_1(E, B) &  (r2_ndiff_1(A, B, C, D) & r1_tarski(E, A)) )  => r2_ndiff_1(E, B, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t47_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r1_ndiff_1(A, B, C, D) &  (! [E] :  (m1_nfcont_1(E, A, D) =>  ~ ( (r1_tarski(E, k1_relset_1(u1_struct_0(A), C)) &  (? [F] :  ( (v1_funct_1(F) &  (v2_ndiff_1(F, A, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  &  (k7_partfun1(u1_struct_0(B), F, k4_struct_0(A))=k4_struct_0(B) &  (r1_nfcont_1(A, B, F, k4_struct_0(A)) &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r2_tarski(G, E) => k5_algstr_0(B, k7_partfun1(u1_struct_0(B), C, G), k7_partfun1(u1_struct_0(B), C, D))=k3_rlvect_1(B, k17_lopban_1(A, B, k3_ndiff_1(A, B, C, D), k5_algstr_0(A, G, D)), k7_partfun1(u1_struct_0(B), F, k5_algstr_0(A, G, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (v2_ndiff_1(C, A, B) <=>  (v1_partfun1(C, u1_struct_0(A)) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) &  (v12_struct_0(D, k4_ordinal1, A) &  (v1_ndiff_1(D, A, k4_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (v3_normsp_1(k1_ndiff_1(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), D, C), k37_valued_1(k4_ordinal1, k1_numbers, k5_normsp_0(A, D))), B) & k5_normsp_1(B, k1_ndiff_1(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), D, C), k37_valued_1(k4_ordinal1, k1_numbers, k5_normsp_0(A, D))))=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_ndiff_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (v1_funct_1(k1_ndiff_1(A, B, C)) &  (v1_funct_2(k1_ndiff_1(A, B, C), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k1_ndiff_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(dt_k2_ndiff_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (v1_funct_1(k2_ndiff_1(A, B, C)) &  (v1_funct_2(k2_ndiff_1(A, B, C), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k2_ndiff_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(dt_k3_ndiff_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  & m1_subset_1(D, u1_struct_0(A))) ) )  => m1_subset_1(k3_ndiff_1(A, B, C, D), u1_struct_0(k16_lopban_1(A, B)))) ) ).
fof(dt_k4_ndiff_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (v1_funct_1(k4_ndiff_1(A, B, C, D)) & m1_subset_1(k4_ndiff_1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k16_lopban_1(A, B)))))) ) ) ).
fof(t3_ndiff_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_nfcont_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r2_tarski(C, B) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  & r1_tarski(a_3_0_ndiff_1(A, C, D), B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_ndiff_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_0_ndiff_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E &  ~ (r1_xxreal_0(D, k2_normsp_0(B, k5_algstr_0(B, E, C)))) ) ) ) ) ) ) ).
fof(d1_ndiff_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, u1_struct_0(k8_lopban_1(A, B)), k10_lopban_1(A, B)) =>  (! [E] :  (m2_subset_1(E, u1_struct_0(k8_lopban_1(B, C)), k10_lopban_1(B, C)) => k1_ndiff_2(A, B, C, D, E)=k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), k13_lopban_1(A, B, D), k13_lopban_1(B, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(d2_ndiff_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k16_lopban_1(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k16_lopban_1(B, C))) => k2_ndiff_2(A, B, C, D, E)=k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), k13_lopban_1(A, B, D), k13_lopban_1(B, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t1_ndiff_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r1_ndiff_1(A, B, C, D) &  (! [E] :  (m1_nfcont_1(E, A, D) =>  ~ ( (r1_tarski(E, k1_relset_1(u1_struct_0(A), C)) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  ( (v9_ordinal1(G) &  (v1_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(G, k5_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v3_funct_1(H) &  (v1_funct_2(H, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ( (k2_relset_1(u1_struct_0(A), H)=k1_tarski(D) & r1_tarski(k2_relset_1(u1_struct_0(A), k1_normsp_1(A, k2_ndiff_1(A, F, G), H)), E))  =>  (v3_normsp_1(k1_ndiff_1(B, k2_normsp_1(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), k1_normsp_1(A, k2_ndiff_1(A, F, G), H), C), k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), H, C)), k37_valued_1(k4_ordinal1, k1_numbers, G)), B) & k17_lopban_1(A, B, k3_ndiff_1(A, B, C, D), F)=k5_normsp_1(B, k1_ndiff_1(B, k2_normsp_1(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), k1_normsp_1(A, k2_ndiff_1(A, F, G), H), C), k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), H, C)), k37_valued_1(k4_ordinal1, k1_numbers, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_ndiff_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_ndiff_1(A, B, C, D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  ( (v9_ordinal1(F) &  (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(F, k5_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v3_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ( (k2_relset_1(u1_struct_0(A), G)=k1_tarski(D) & r1_tarski(k2_relset_1(u1_struct_0(A), k1_normsp_1(A, k2_ndiff_1(A, E, F), G)), k1_relset_1(u1_struct_0(A), C)))  =>  (v3_normsp_1(k1_ndiff_1(B, k2_normsp_1(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), k1_normsp_1(A, k2_ndiff_1(A, E, F), G), C), k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), G, C)), k37_valued_1(k4_ordinal1, k1_numbers, F)), B) & k17_lopban_1(A, B, k3_ndiff_1(A, B, C, D), E)=k5_normsp_1(B, k1_ndiff_1(B, k2_normsp_1(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), k1_normsp_1(A, k2_ndiff_1(A, E, F), G), C), k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), G, C)), k37_valued_1(k4_ordinal1, k1_numbers, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_ndiff_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_nfcont_1(E, A, D) =>  (r1_tarski(E, k1_relset_1(u1_struct_0(A), C)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  ( (! [H] :  ( (v9_ordinal1(H) &  (v1_funct_1(H) &  (v1_funct_2(H, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(H, k5_numbers) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [I] :  ( (v1_funct_1(I) &  (v3_funct_1(I) &  (v1_funct_2(I, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ( (k2_relset_1(u1_struct_0(A), I)=k1_tarski(D) & r1_tarski(k2_relset_1(u1_struct_0(A), k1_normsp_1(A, k2_ndiff_1(A, F, H), I)), E))  =>  (v3_normsp_1(k1_ndiff_1(B, k2_normsp_1(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), k1_normsp_1(A, k2_ndiff_1(A, F, H), I), C), k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), I, C)), k37_valued_1(k4_ordinal1, k1_numbers, H)), B) & G=k5_normsp_1(B, k1_ndiff_1(B, k2_normsp_1(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), k1_normsp_1(A, k2_ndiff_1(A, F, H), I), C), k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), I, C)), k37_valued_1(k4_ordinal1, k1_numbers, H)))) ) ) ) ) )  <=>  (! [H] :  (v1_xreal_0(H) =>  ~ ( ( ~ (r1_xxreal_0(H, k5_numbers))  &  (! [I] :  (v1_xreal_0(I) =>  ~ ( ( ~ (r1_xxreal_0(I, k5_numbers))  &  (! [J] :  (v1_xreal_0(J) =>  ~ ( ( ~ (r1_xxreal_0(I, k9_complex1(J)))  &  ( ~ (J=k5_numbers)  &  (r2_tarski(k3_rlvect_1(A, k1_rlvect_1(A, F, J), D), E) & r1_xxreal_0(H, k2_normsp_0(B, k5_algstr_0(B, k1_rlvect_1(B, k5_algstr_0(B, k7_partfun1(u1_struct_0(B), C, k3_rlvect_1(A, k1_rlvect_1(A, F, J), D)), k7_partfun1(u1_struct_0(B), C, D)), k5_xcmplx_0(J)), G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_ndiff_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_ndiff_2(A, B, C, D, E) <=>  (? [F] :  (m1_nfcont_1(F, A, D) &  (r1_tarski(F, k1_relset_1(u1_struct_0(A), C)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(B)) &  (! [H] :  (v1_xreal_0(H) =>  ~ ( ( ~ (r1_xxreal_0(H, k5_numbers))  &  (! [I] :  (v1_xreal_0(I) =>  ~ ( ( ~ (r1_xxreal_0(I, k5_numbers))  &  (! [J] :  (v1_xreal_0(J) =>  ~ ( ( ~ (r1_xxreal_0(I, k9_complex1(J)))  &  ( ~ (J=k5_numbers)  &  (r2_tarski(k3_rlvect_1(A, k1_rlvect_1(A, E, J), D), F) & r1_xxreal_0(H, k2_normsp_0(B, k5_algstr_0(B, k1_rlvect_1(B, k5_algstr_0(B, k7_partfun1(u1_struct_0(B), C, k3_rlvect_1(A, k1_rlvect_1(A, E, J), D)), k7_partfun1(u1_struct_0(B), C, D)), k5_xcmplx_0(J)), G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_ndiff_2, axiom,  ( (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ ( ( ~ (r1_xxreal_0(k2_normsp_0(A, k5_algstr_0(A, B, C)), k5_numbers))  & B=C) )  &  ~ ( ( ~ (B=C)  & r1_xxreal_0(k2_normsp_0(A, k5_algstr_0(A, B, C)), k5_numbers)) ) ) ) ) ) ) ) )  &  ( (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_normsp_0(A, k5_algstr_0(A, B, C))=k2_normsp_0(A, k5_algstr_0(A, C, B))) ) ) ) ) )  &  ( (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k2_normsp_0(A, k5_algstr_0(A, B, C))=k5_numbers <=> B=C) ) ) ) ) ) )  &  ( (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ ( ( ~ (k2_normsp_0(A, k5_algstr_0(A, B, C))=k5_numbers)  & B=C) )  &  ~ ( ( ~ (B=C)  & k2_normsp_0(A, k5_algstr_0(A, B, C))=k5_numbers) ) ) ) ) ) ) ) )  &  ( (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  ( ~ (r1_xxreal_0(k7_xcmplx_0(E, 2), k2_normsp_0(A, k5_algstr_0(A, B, D))))  &  ( ~ (r1_xxreal_0(k7_xcmplx_0(E, 2), k2_normsp_0(A, k5_algstr_0(A, D, C))))  & r1_xxreal_0(E, k2_normsp_0(A, k5_algstr_0(A, B, C)))) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  ( ~ (r1_xxreal_0(k7_xcmplx_0(E, 2), k2_normsp_0(A, k5_algstr_0(A, B, D))))  &  ( ~ (r1_xxreal_0(k7_xcmplx_0(E, 2), k2_normsp_0(A, k5_algstr_0(A, C, D))))  & r1_xxreal_0(E, k2_normsp_0(A, k5_algstr_0(A, B, C)))) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  & r1_xxreal_0(C, k2_normsp_0(A, B))) ) ) )  => B=k4_struct_0(A)) ) ) ) )  &  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  & r1_xxreal_0(D, k2_normsp_0(A, k5_algstr_0(A, B, C)))) ) ) )  => B=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_ndiff_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_ndiff_2(A, B, C, D, E) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (F=k3_ndiff_2(A, B, C, D, E) <=>  (? [G] :  (m1_nfcont_1(G, A, D) &  (r1_tarski(G, k1_relset_1(u1_struct_0(A), C)) &  (! [H] :  (v1_xreal_0(H) =>  ~ ( ( ~ (r1_xxreal_0(H, k5_numbers))  &  (! [I] :  (v1_xreal_0(I) =>  ~ ( ( ~ (r1_xxreal_0(I, k5_numbers))  &  (! [J] :  (v1_xreal_0(J) =>  ~ ( ( ~ (r1_xxreal_0(I, k9_complex1(J)))  &  ( ~ (J=k5_numbers)  &  (r2_tarski(k3_rlvect_1(A, k1_rlvect_1(A, E, J), D), G) & r1_xxreal_0(H, k2_normsp_0(B, k5_algstr_0(B, k1_rlvect_1(B, k5_algstr_0(B, k7_partfun1(u1_struct_0(B), C, k3_rlvect_1(A, k1_rlvect_1(A, E, J), D)), k7_partfun1(u1_struct_0(B), C, D)), k5_xcmplx_0(J)), F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_ndiff_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_ndiff_2(A, B, C, D, E) <=>  (? [F] :  (m1_nfcont_1(F, A, D) &  (r1_tarski(F, k1_relset_1(u1_struct_0(A), C)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(B)) &  (! [H] :  ( (v9_ordinal1(H) &  (v1_funct_1(H) &  (v1_funct_2(H, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(H, k5_numbers) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [I] :  ( (v1_funct_1(I) &  (v3_funct_1(I) &  (v1_funct_2(I, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ( (k2_relset_1(u1_struct_0(A), I)=k1_tarski(D) & r1_tarski(k2_relset_1(u1_struct_0(A), k1_normsp_1(A, k2_ndiff_1(A, E, H), I)), F))  =>  (v3_normsp_1(k1_ndiff_1(B, k2_normsp_1(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), k1_normsp_1(A, k2_ndiff_1(A, E, H), I), C), k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), I, C)), k37_valued_1(k4_ordinal1, k1_numbers, H)), B) & G=k5_normsp_1(B, k1_ndiff_1(B, k2_normsp_1(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), k1_normsp_1(A, k2_ndiff_1(A, E, H), I), C), k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), I, C)), k37_valued_1(k4_ordinal1, k1_numbers, H)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_ndiff_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_ndiff_1(A, B, C, D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_ndiff_2(A, B, C, D, E) &  (k3_ndiff_2(A, B, C, D, E)=k17_lopban_1(A, B, k3_ndiff_1(A, B, C, D), E) &  (? [F] :  (m1_nfcont_1(F, A, D) &  (r1_tarski(F, k1_relset_1(u1_struct_0(A), C)) &  (! [G] :  ( (v9_ordinal1(G) &  (v1_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(G, k5_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v3_funct_1(H) &  (v1_funct_2(H, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ( (k2_relset_1(u1_struct_0(A), H)=k1_tarski(D) & r1_tarski(k2_relset_1(u1_struct_0(A), k1_normsp_1(A, k2_ndiff_1(A, E, G), H)), F))  =>  (v3_normsp_1(k1_ndiff_1(B, k2_normsp_1(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), k1_normsp_1(A, k2_ndiff_1(A, E, G), H), C), k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), H, C)), k37_valued_1(k4_ordinal1, k1_numbers, G)), B) & k3_ndiff_2(A, B, C, D, E)=k5_normsp_1(B, k1_ndiff_1(B, k2_normsp_1(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), k1_normsp_1(A, k2_ndiff_1(A, E, G), H), C), k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), H, C)), k37_valued_1(k4_ordinal1, k1_numbers, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_ndiff_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v2_ndiff_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (k7_partfun1(u1_struct_0(B), C, k4_struct_0(A))=k4_struct_0(B) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( ~ (r1_xxreal_0(E, k2_normsp_0(A, F)))  => r1_xxreal_0(k2_normsp_0(B, k7_partfun1(u1_struct_0(B), C, F)), k3_xcmplx_0(D, k2_normsp_0(A, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_ndiff_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v2_ndiff_1(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (k7_partfun1(u1_struct_0(C), D, k4_struct_0(B))=k4_struct_0(C) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(E, A, B) &  (v1_lopban_1(E, A, B) &  (v2_lopban_1(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (v1_funct_1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), E, D)) &  (v2_ndiff_1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), E, D), A, C) & m1_subset_1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), E, D), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_ndiff_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v2_ndiff_1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(E, B, C) &  (v1_lopban_1(E, B, C) &  (v2_lopban_1(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) )  =>  (v1_funct_1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E)) &  (v2_ndiff_1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), A, C) & m1_subset_1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_ndiff_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v2_ndiff_1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (k7_partfun1(u1_struct_0(B), D, k4_struct_0(A))=k4_struct_0(B) =>  (! [E] :  ( (v1_funct_1(E) &  (v2_ndiff_1(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (k7_partfun1(u1_struct_0(C), E, k4_struct_0(B))=k4_struct_0(C) =>  (v1_funct_1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E)) &  (v2_ndiff_1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), A, C) & m1_subset_1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_ndiff_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v2_ndiff_1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (k7_partfun1(u1_struct_0(B), D, k4_struct_0(A))=k4_struct_0(B) =>  (! [E] :  ( (v1_funct_1(E) &  (v2_ndiff_1(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (k7_partfun1(u1_struct_0(C), E, k4_struct_0(B))=k4_struct_0(C) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(F, A, B) &  (v1_lopban_1(F, A, B) &  (v2_lopban_1(F, A, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (v1_funct_1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), k6_vfunct_1(u1_struct_0(A), B, F, D), E)) &  (v2_ndiff_1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), k6_vfunct_1(u1_struct_0(A), B, F, D), E), A, C) & m1_subset_1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), k6_vfunct_1(u1_struct_0(A), B, F, D), E), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_ndiff_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v2_ndiff_1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (k7_partfun1(u1_struct_0(B), D, k4_struct_0(A))=k4_struct_0(B) =>  (! [E] :  ( (v1_funct_1(E) &  (v2_ndiff_1(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (k7_partfun1(u1_struct_0(C), E, k4_struct_0(B))=k4_struct_0(C) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(F, A, B) &  (v1_lopban_1(F, A, B) &  (v2_lopban_1(F, A, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(G, B, C) &  (v1_lopban_1(G, B, C) &  (v2_lopban_1(G, B, C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) )  =>  (v1_funct_1(k6_vfunct_1(u1_struct_0(A), C, k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, G), k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), k6_vfunct_1(u1_struct_0(A), B, F, D), E))) &  (v2_ndiff_1(k6_vfunct_1(u1_struct_0(A), C, k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, G), k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), k6_vfunct_1(u1_struct_0(A), B, F, D), E)), A, C) & m1_subset_1(k6_vfunct_1(u1_struct_0(A), C, k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, G), k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), k6_vfunct_1(u1_struct_0(A), B, F, D), E)), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_ndiff_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v5_rlvect_1(D) &  (v6_rlvect_1(D) &  (v7_rlvect_1(D) &  (v8_rlvect_1(D) &  (v3_normsp_0(D) &  (v4_normsp_0(D) &  (v2_normsp_1(D) & l1_normsp_1(D)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (r1_ndiff_1(A, B, E, C) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(D)))))  =>  (r1_ndiff_1(B, D, F, k7_partfun1(u1_struct_0(B), E, C)) =>  (r1_ndiff_1(A, D, k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(D), E, F), C) & k3_ndiff_1(A, D, k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(D), E, F), C)=k2_ndiff_2(A, B, D, k3_ndiff_1(A, B, E, C), k3_ndiff_1(B, D, F, k7_partfun1(u1_struct_0(B), E, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_ndiff_2, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(D, k10_lopban_1(A, B)) & m1_subset_1(E, k10_lopban_1(B, C))) ) ) )  => m2_subset_1(k1_ndiff_2(A, B, C, D, E), u1_struct_0(k8_lopban_1(A, C)), k10_lopban_1(A, C))) ) ).
fof(dt_k2_ndiff_2, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(D, u1_struct_0(k16_lopban_1(A, B))) & m1_subset_1(E, u1_struct_0(k16_lopban_1(B, C)))) ) ) )  => m1_subset_1(k2_ndiff_2(A, B, C, D, E), u1_struct_0(k16_lopban_1(A, C)))) ) ).
fof(dt_k3_ndiff_2, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  &  (m1_subset_1(D, u1_struct_0(A)) & m1_subset_1(E, u1_struct_0(A))) ) ) )  => m1_subset_1(k3_ndiff_2(A, B, C, D, E), u1_struct_0(B))) ) ).
fof(rc1_ndiff_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k1_numbers) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_ndiff_3(B, A)) ) ) ) ) ) ) ) ).
fof(rc2_ndiff_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k1_numbers) &  (v5_relat_1(B, u1_struct_0(A)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_partfun1(B, k1_numbers) &  (v1_funct_2(B, k1_numbers, u1_struct_0(A)) & v2_ndiff_3(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_ndiff_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k1_numbers) &  (v5_relat_1(B, u1_struct_0(A)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_partfun1(B, k1_numbers) &  (v1_funct_2(B, k1_numbers, u1_struct_0(A)) & v3_ndiff_3(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_ndiff_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( ( (! [D] :  (m1_subset_1(D, k4_ordinal1) => r1_xxreal_0(k2_normsp_0(A, k1_normsp_0(A, C, D)), k8_nat_1(k1_numbers, B, D))) )  &  (v2_comseq_2(B) & k1_seq_2(B)=k5_numbers) )  =>  (v3_normsp_1(C, A) & k5_normsp_1(A, C)=k4_struct_0(A)) ) ) ) ) ) ) ) ).
fof(t2_ndiff_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k1_ndiff_1(A, k1_valued_0(u1_struct_0(A), D, B), k1_valued_0(k1_numbers, C, B)), k1_valued_0(u1_struct_0(A), k1_ndiff_1(A, D, C), B))) ) ) ) ) ) ) ) ).
fof(d1_ndiff_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (v1_ndiff_3(B, A) <=>  (v1_partfun1(B, k1_numbers) &  (! [C] :  ( (v9_ordinal1(C) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(C, k5_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (v3_normsp_1(k1_ndiff_1(A, k8_funct_2(k4_ordinal1, u1_struct_0(A), k1_numbers, C, B), k37_valued_1(k4_ordinal1, k1_numbers, C)), A) & k5_normsp_1(A, k1_ndiff_1(A, k8_funct_2(k4_ordinal1, u1_struct_0(A), k1_numbers, C, B), k37_valued_1(k4_ordinal1, k1_numbers, C)))=k4_struct_0(A)) ) ) ) ) ) ) ) ) ).
fof(d2_ndiff_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_numbers, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  =>  (v2_ndiff_3(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (! [D] :  (v1_xreal_0(D) => k7_partfun1(u1_struct_0(A), B, D)=k1_rlvect_1(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t3_ndiff_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_numbers, u1_struct_0(A)) &  (v2_ndiff_3(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, u1_struct_0(A)) &  (v2_ndiff_3(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) ) )  =>  ( (v1_funct_1(k6_vfunct_1(k1_numbers, A, B, C)) &  (v1_funct_2(k6_vfunct_1(k1_numbers, A, B, C), k1_numbers, u1_struct_0(A)) &  (v2_ndiff_3(k6_vfunct_1(k1_numbers, A, B, C), A) & m1_subset_1(k6_vfunct_1(k1_numbers, A, B, C), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) ) )  &  (v1_funct_1(k2_vfunct_1(k1_numbers, A, B, C)) &  (v1_funct_2(k2_vfunct_1(k1_numbers, A, B, C), k1_numbers, u1_struct_0(A)) &  (v2_ndiff_3(k2_vfunct_1(k1_numbers, A, B, C), A) & m1_subset_1(k2_vfunct_1(k1_numbers, A, B, C), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) ) ) ) ) ) ) ) ) ) ).
fof(t4_ndiff_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, u1_struct_0(A)) &  (v2_ndiff_3(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) ) )  =>  (v1_funct_1(k4_vfunct_1(k1_numbers, A, C, B)) &  (v1_funct_2(k4_vfunct_1(k1_numbers, A, C, B), k1_numbers, u1_struct_0(A)) &  (v2_ndiff_3(k4_vfunct_1(k1_numbers, A, C, B), A) & m1_subset_1(k4_vfunct_1(k1_numbers, A, C, B), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) ) ) ) ) ) ) ) ) ).
fof(t5_ndiff_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (r1_tarski(k2_relset_1(k1_numbers, D), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k1_relset_1(k1_numbers, C))) =>  (r2_funct_2(k4_ordinal1, u1_struct_0(A), k8_funct_2(k4_ordinal1, u1_struct_0(A), k1_numbers, D, k6_vfunct_1(k1_numbers, A, B, C)), k1_normsp_1(A, k8_funct_2(k4_ordinal1, u1_struct_0(A), k1_numbers, D, B), k8_funct_2(k4_ordinal1, u1_struct_0(A), k1_numbers, D, C))) & r2_funct_2(k4_ordinal1, u1_struct_0(A), k8_funct_2(k4_ordinal1, u1_struct_0(A), k1_numbers, D, k2_vfunct_1(k1_numbers, A, B, C)), k2_normsp_1(A, k8_funct_2(k4_ordinal1, u1_struct_0(A), k1_numbers, D, B), k8_funct_2(k4_ordinal1, u1_struct_0(A), k1_numbers, D, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t6_ndiff_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v1_partfun1(B, k1_numbers) & v1_partfun1(C, k1_numbers))  =>  (r2_funct_2(k4_ordinal1, u1_struct_0(A), k8_funct_2(k4_ordinal1, u1_struct_0(A), k1_numbers, D, k6_vfunct_1(k1_numbers, A, B, C)), k1_normsp_1(A, k8_funct_2(k4_ordinal1, u1_struct_0(A), k1_numbers, D, B), k8_funct_2(k4_ordinal1, u1_struct_0(A), k1_numbers, D, C))) & r2_funct_2(k4_ordinal1, u1_struct_0(A), k8_funct_2(k4_ordinal1, u1_struct_0(A), k1_numbers, D, k2_vfunct_1(k1_numbers, A, B, C)), k2_normsp_1(A, k8_funct_2(k4_ordinal1, u1_struct_0(A), k1_numbers, D, B), k8_funct_2(k4_ordinal1, u1_struct_0(A), k1_numbers, D, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t7_ndiff_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_ndiff_3(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_ndiff_3(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  =>  ( (v1_funct_1(k6_vfunct_1(k1_numbers, A, B, C)) &  (v1_ndiff_3(k6_vfunct_1(k1_numbers, A, B, C), A) & m1_subset_1(k6_vfunct_1(k1_numbers, A, B, C), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  &  (v1_funct_1(k2_vfunct_1(k1_numbers, A, B, C)) &  (v1_ndiff_3(k2_vfunct_1(k1_numbers, A, B, C), A) & m1_subset_1(k2_vfunct_1(k1_numbers, A, B, C), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) ) ) ) ) ) ) ) ) ).
fof(t8_ndiff_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_ndiff_3(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  =>  (v1_funct_1(k4_vfunct_1(k1_numbers, A, C, B)) &  (v1_ndiff_3(k4_vfunct_1(k1_numbers, A, C, B), A) & m1_subset_1(k4_vfunct_1(k1_numbers, A, C, B), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) ) ) ) ) ) ) ) ).
fof(d3_ndiff_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [C] :  (v1_xreal_0(C) =>  (r1_ndiff_3(A, B, C) <=>  (? [D] :  (m1_rcomp_1(D, C) &  (r1_tarski(D, k1_relset_1(k1_numbers, B)) &  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, u1_struct_0(A)) &  (v2_ndiff_3(E, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) ) )  &  (? [F] :  ( (v1_funct_1(F) &  (v1_ndiff_3(F, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  &  (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, D) => k5_algstr_0(A, k7_partfun1(u1_struct_0(A), B, G), k7_partfun1(u1_struct_0(A), B, C))=k3_rlvect_1(A, k10_funct_2(k1_numbers, u1_struct_0(A), E, k6_xcmplx_0(G, C)), k7_partfun1(u1_struct_0(A), F, k6_xcmplx_0(G, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_ndiff_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [C] :  (v1_xreal_0(C) =>  (r1_ndiff_3(A, B, C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (D=k1_ndiff_3(A, B, C) <=>  (? [E] :  (m1_rcomp_1(E, C) &  (r1_tarski(E, k1_relset_1(k1_numbers, B)) &  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k1_numbers, u1_struct_0(A)) &  (v2_ndiff_3(F, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) ) )  &  (? [G] :  ( (v1_funct_1(G) &  (v1_ndiff_3(G, A) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  &  (D=k10_funct_2(k1_numbers, u1_struct_0(A), F, 1) &  (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, E) => k5_algstr_0(A, k7_partfun1(u1_struct_0(A), B, H), k7_partfun1(u1_struct_0(A), B, C))=k3_rlvect_1(A, k10_funct_2(k1_numbers, u1_struct_0(A), F, k6_xcmplx_0(H, C)), k7_partfun1(u1_struct_0(A), G, k6_xcmplx_0(H, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_ndiff_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [C] :  (r2_ndiff_3(A, B, C) <=>  (r1_tarski(C, k1_relset_1(k1_numbers, B)) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => r1_ndiff_3(A, k2_partfun1(k1_numbers, u1_struct_0(A), B, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(t9_ndiff_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (r2_ndiff_3(A, C, B) => m1_subset_1(B, k1_zfmisc_1(k1_numbers))) ) ) ) ) ) ).
fof(t10_ndiff_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (r2_ndiff_3(A, C, B) <=>  (r1_tarski(B, k1_relset_1(k1_numbers, C)) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => r1_ndiff_3(A, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_ndiff_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (r2_ndiff_3(A, C, B) => v3_rcomp_1(B)) ) ) ) ) ) ) ).
fof(d6_ndiff_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [C] :  (r2_ndiff_3(A, B, C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (D=k2_ndiff_3(A, B, C) <=>  (k1_relset_1(k1_numbers, D)=C &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) => k1_funct_1(D, E)=k1_ndiff_3(A, B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_ndiff_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (r1_tarski(B, k1_relset_1(k1_numbers, C)) =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ (k2_relset_1(u1_struct_0(A), C)=k1_tarski(D)) ) )  |  (r2_ndiff_3(A, C, B) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k7_partfun1(u1_struct_0(A), k2_ndiff_3(A, C, B), D)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_ndiff_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_rcomp_1(D, C) =>  ( (r1_ndiff_3(A, B, C) & r1_tarski(D, k1_relset_1(k1_numbers, B)))  =>  (! [E] :  ( (v9_ordinal1(E) &  (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(E, k5_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v3_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (k2_relset_1(k1_numbers, F)=k1_tarski(C) & r1_tarski(k2_relset_1(k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, E, F)), D))  =>  (v3_normsp_1(k1_ndiff_1(A, k2_normsp_1(A, k8_funct_2(k4_ordinal1, u1_struct_0(A), k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, E, F), B), k8_funct_2(k4_ordinal1, u1_struct_0(A), k1_numbers, F, B)), k37_valued_1(k4_ordinal1, k1_numbers, E)), A) & k1_ndiff_3(A, B, C)=k5_normsp_1(A, k1_ndiff_1(A, k2_normsp_1(A, k8_funct_2(k4_ordinal1, u1_struct_0(A), k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, E, F), B), k8_funct_2(k4_ordinal1, u1_struct_0(A), k1_numbers, F, B)), k37_valued_1(k4_ordinal1, k1_numbers, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_ndiff_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  ( (r1_ndiff_3(A, C, B) & r1_ndiff_3(A, D, B))  =>  (r1_ndiff_3(A, k6_vfunct_1(k1_numbers, A, C, D), B) & k1_ndiff_3(A, k6_vfunct_1(k1_numbers, A, C, D), B)=k3_rlvect_1(A, k1_ndiff_3(A, C, B), k1_ndiff_3(A, D, B))) ) ) ) ) ) ) ) ) ) ).
fof(t15_ndiff_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  ( (r1_ndiff_3(A, C, B) & r1_ndiff_3(A, D, B))  =>  (r1_ndiff_3(A, k2_vfunct_1(k1_numbers, A, C, D), B) & k1_ndiff_3(A, k2_vfunct_1(k1_numbers, A, C, D), B)=k5_algstr_0(A, k1_ndiff_3(A, C, B), k1_ndiff_3(A, D, B))) ) ) ) ) ) ) ) ) ) ).
fof(t16_ndiff_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [D] :  (v1_xreal_0(D) =>  (r1_ndiff_3(A, C, B) =>  (r1_ndiff_3(A, k4_vfunct_1(k1_numbers, A, C, D), B) & k1_ndiff_3(A, k4_vfunct_1(k1_numbers, A, C, D), B)=k1_rlvect_1(A, k1_ndiff_3(A, C, B), D)) ) ) ) ) ) ) ) ) ) ).
fof(t17_ndiff_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, k6_vfunct_1(k1_numbers, A, C, D))) &  (r2_ndiff_3(A, C, B) & r2_ndiff_3(A, D, B)) )  =>  (r2_ndiff_3(A, k6_vfunct_1(k1_numbers, A, C, D), B) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) => k1_funct_1(k2_ndiff_3(A, k6_vfunct_1(k1_numbers, A, C, D), B), E)=k3_rlvect_1(A, k1_ndiff_3(A, C, E), k1_ndiff_3(A, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_ndiff_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, k2_vfunct_1(k1_numbers, A, C, D))) &  (r2_ndiff_3(A, C, B) & r2_ndiff_3(A, D, B)) )  =>  (r2_ndiff_3(A, k2_vfunct_1(k1_numbers, A, C, D), B) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) => k1_funct_1(k2_ndiff_3(A, k2_vfunct_1(k1_numbers, A, C, D), B), E)=k5_algstr_0(A, k1_ndiff_3(A, C, E), k1_ndiff_3(A, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_ndiff_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  ( (r1_tarski(C, k1_relset_1(k1_numbers, k4_vfunct_1(k1_numbers, A, D, B))) & r2_ndiff_3(A, D, C))  =>  (r2_ndiff_3(A, k4_vfunct_1(k1_numbers, A, D, B), C) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) => k1_funct_1(k2_ndiff_3(A, k4_vfunct_1(k1_numbers, A, D, B), C), E)=k1_rlvect_1(A, k1_ndiff_3(A, D, E), B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_ndiff_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, C)) & v3_funct_1(k2_partfun1(k1_numbers, u1_struct_0(A), C, B)))  =>  (r2_ndiff_3(A, C, B) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(k2_ndiff_3(A, C, B), D)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_ndiff_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  ( (r1_tarski(D, k1_relset_1(k1_numbers, E)) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, D) => k7_partfun1(u1_struct_0(A), E, F)=k3_rlvect_1(A, k1_rlvect_1(A, B, F), C)) ) ) )  =>  (r2_ndiff_3(A, E, D) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, D) => k1_funct_1(k2_ndiff_3(A, E, D), F)=B) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_ndiff_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [C] :  (v1_xreal_0(C) =>  (r1_ndiff_3(A, B, C) => r1_nfcont_3(A, B, C)) ) ) ) ) ) ) ).
fof(t23_ndiff_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (r2_ndiff_3(A, C, B) => v1_nfcont_3(k2_partfun1(k1_numbers, u1_struct_0(A), C, B), A)) ) ) ) ) ) ).
fof(t24_ndiff_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  ( (r2_ndiff_3(A, D, B) & r1_tarski(C, B))  => r2_ndiff_3(A, D, C)) ) ) ) ) ) ) ) ).
fof(t25_ndiff_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  ( (v1_funct_1(B) &  (v1_ndiff_3(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  &  (k7_partfun1(u1_struct_0(A), B, k5_numbers)=k4_struct_0(A) & r1_nfcont_3(A, B, k5_numbers)) ) ) ) ) ).
fof(d7_ndiff_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (v3_ndiff_3(B, A) <=> r2_ndiff_3(A, B, k1_relset_1(k1_numbers, B))) ) ) ) ) ).
fof(t26_ndiff_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) &  (v3_ndiff_3(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  =>  (r1_tarski(B, k1_relset_1(k1_numbers, C)) => r2_ndiff_3(A, C, B)) ) ) ) ) ) ) ).
fof(dt_k1_ndiff_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  & v1_xreal_0(C)) )  => m1_subset_1(k1_ndiff_3(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k2_ndiff_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  =>  (v1_funct_1(k2_ndiff_3(A, B, C)) & m1_subset_1(k2_ndiff_3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) ) ) ).
fof(fc1_ndiff_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (v1_funct_1(k2_funcop_1(k1_numbers, k5_euclid(A))) &  (v1_funct_2(k2_funcop_1(k1_numbers, k5_euclid(A)), k1_numbers, k1_euclid(A)) & v1_ndiff_4(k2_funcop_1(k1_numbers, k5_euclid(A)), A)) ) ) ) ).
fof(rc1_ndiff_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k1_numbers) &  (v5_relat_1(B, k1_euclid(A)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_partfun1(B, k1_numbers) &  (v1_funct_2(B, k1_numbers, k1_euclid(A)) &  (v1_funcop_1(B) &  (v7_valued_2(B) &  (v8_valued_2(B) &  (v9_valued_2(B) & v1_ndiff_4(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_ndiff_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  => r2_relset_1(k1_numbers, k1_euclid(A), k8_integr15(A, k1_numbers, B, C), k7_integr15(A, k1_numbers, B, k2_nfcont_4(A, k1_numbers, C)))) ) ) ) ) ) ).
fof(d1_ndiff_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [C] :  (v1_xreal_0(C) =>  (r1_ndiff_4(A, B, C) <=>  (? [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  &  (B=D & r1_ndiff_3(k4_real_ns1(A), D, C)) ) ) ) ) ) ) ) ) ) ).
fof(t2_ndiff_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  (! [D] :  (v1_xreal_0(D) =>  (C=B =>  (r1_ndiff_4(A, B, D) <=> r1_ndiff_3(k4_real_ns1(A), C, D)) ) ) ) ) ) ) ) ) ) ).
fof(d2_ndiff_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (D=k1_ndiff_4(A, B, C) <=>  (? [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  &  (B=E & D=k1_ndiff_3(k4_real_ns1(A), E, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_ndiff_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  (! [D] :  (v1_xreal_0(D) =>  (C=B => k1_ndiff_4(A, B, D)=k1_ndiff_3(k4_real_ns1(A), C, D)) ) ) ) ) ) ) ) ) ).
fof(d3_ndiff_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [C] :  (r2_ndiff_4(A, B, C) <=>  (r1_tarski(C, k1_relset_1(k1_numbers, B)) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, C) => r1_ndiff_4(A, k2_partfun1(k1_numbers, k1_euclid(A), B, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(t4_ndiff_4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(B)))))  =>  (r2_ndiff_4(B, C, A) => m1_subset_1(A, k1_zfmisc_1(k1_numbers))) ) ) ) ) ) ).
fof(t5_ndiff_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (r2_ndiff_4(A, C, B) <=>  (r1_tarski(B, k1_relset_1(k1_numbers, C)) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => r1_ndiff_4(A, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_ndiff_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (r2_ndiff_4(A, C, B) => v3_rcomp_1(B)) ) ) ) ) ) ) ).
fof(d4_ndiff_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [C] :  (r2_ndiff_4(A, B, C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (D=k2_ndiff_4(A, B, C) <=>  (k1_relset_1(k1_numbers, D)=C &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) => k1_funct_1(D, E)=k1_ndiff_4(A, B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_ndiff_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (r1_tarski(B, k1_relset_1(k1_numbers, C)) =>  ( (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  ~ (k2_relset_1(k1_euclid(A), C)=k1_tarski(D)) ) )  |  (r2_ndiff_4(A, C, B) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k7_partfun1(k1_euclid(A), k2_ndiff_4(A, C, B), D)=k5_euclid(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_ndiff_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  (! [E] :  (m1_rcomp_1(E, B) =>  ( (C=D &  (r1_ndiff_4(A, C, B) & r1_tarski(E, k1_relset_1(k1_numbers, C))) )  =>  (! [F] :  ( (v9_ordinal1(F) &  (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(F, k5_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v3_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (k1_rvsum_1(G)=k1_tarski(B) & r1_tarski(k1_rvsum_1(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, F, G)), E))  =>  (v3_normsp_1(k1_ndiff_1(k4_real_ns1(A), k2_normsp_1(k4_real_ns1(A), k8_funct_2(k4_ordinal1, u1_struct_0(k4_real_ns1(A)), k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, F, G), D), k8_funct_2(k4_ordinal1, u1_struct_0(k4_real_ns1(A)), k1_numbers, G, D)), k37_valued_1(k4_ordinal1, k1_numbers, F)), k4_real_ns1(A)) & k1_ndiff_4(A, C, B)=k5_normsp_1(k4_real_ns1(A), k1_ndiff_1(k4_real_ns1(A), k2_normsp_1(k4_real_ns1(A), k8_funct_2(k4_ordinal1, u1_struct_0(k4_real_ns1(A)), k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, F, G), D), k8_funct_2(k4_ordinal1, u1_struct_0(k4_real_ns1(A)), k1_numbers, G, D)), k37_valued_1(k4_ordinal1, k1_numbers, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_ndiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & m1_subset_1(C, k4_ordinal1))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(C)))))  =>  (r1_ndiff_4(C, D, A) =>  (r1_ndiff_4(C, k9_integr15(C, B, k1_numbers, D), A) & k1_ndiff_4(C, k9_integr15(C, B, k1_numbers, D), A)=k9_euclid(C, k1_ndiff_4(C, D, A), B)) ) ) ) ) ) ) ) ) ) ).
fof(t10_ndiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(B)))))  =>  (r1_ndiff_4(B, C, A) =>  (r1_ndiff_4(B, k2_nfcont_4(B, k1_numbers, C), A) & k1_ndiff_4(B, k2_nfcont_4(B, k1_numbers, C), A)=k6_euclid(B, k1_ndiff_4(B, C, A))) ) ) ) ) ) ) ) ).
fof(t11_ndiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(B)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(B)))))  =>  ( (r1_ndiff_4(B, C, A) & r1_ndiff_4(B, D, A))  =>  (r1_ndiff_4(B, k7_integr15(B, k1_numbers, C, D), A) & k1_ndiff_4(B, k7_integr15(B, k1_numbers, C, D), A)=k7_euclid(B, k1_ndiff_4(B, C, A), k1_ndiff_4(B, D, A))) ) ) ) ) ) ) ) ) ) ).
fof(t12_ndiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(B)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(B)))))  =>  ( (r1_ndiff_4(B, C, A) & r1_ndiff_4(B, D, A))  =>  (r1_ndiff_4(B, k8_integr15(B, k1_numbers, C, D), A) & k1_ndiff_4(B, k8_integr15(B, k1_numbers, C, D), A)=k8_euclid(B, k1_ndiff_4(B, C, A), k1_ndiff_4(B, D, A))) ) ) ) ) ) ) ) ) ) ).
fof(t13_ndiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(B)))))  =>  ( (r1_tarski(C, k1_relset_1(k1_numbers, D)) & r2_ndiff_4(B, D, C))  =>  (r2_ndiff_4(B, k9_integr15(B, A, k1_numbers, D), C) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, C) => k1_funct_1(k2_ndiff_4(B, k9_integr15(B, A, k1_numbers, D), C), E)=k9_euclid(B, k1_ndiff_4(B, D, E), A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_ndiff_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, C)) & r2_ndiff_4(A, C, B))  =>  (r2_ndiff_4(A, k2_nfcont_4(A, k1_numbers, C), B) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(k2_ndiff_4(A, k2_nfcont_4(A, k1_numbers, C), B), D)=k6_euclid(A, k1_ndiff_4(A, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_ndiff_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, k7_integr15(A, k1_numbers, C, D))) &  (r2_ndiff_4(A, C, B) & r2_ndiff_4(A, D, B)) )  =>  (r2_ndiff_4(A, k7_integr15(A, k1_numbers, C, D), B) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) => k1_funct_1(k2_ndiff_4(A, k7_integr15(A, k1_numbers, C, D), B), E)=k7_euclid(A, k1_ndiff_4(A, C, E), k1_ndiff_4(A, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_ndiff_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, k8_integr15(A, k1_numbers, C, D))) &  (r2_ndiff_4(A, C, B) & r2_ndiff_4(A, D, B)) )  =>  (r2_ndiff_4(A, k8_integr15(A, k1_numbers, C, D), B) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, B) => k1_funct_1(k2_ndiff_4(A, k8_integr15(A, k1_numbers, C, D), B), E)=k8_euclid(A, k1_ndiff_4(A, C, E), k1_ndiff_4(A, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_ndiff_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, C)) & v3_funct_1(k2_partfun1(k1_numbers, k1_euclid(A), C, B)))  =>  (r2_ndiff_4(A, C, B) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(k2_ndiff_4(A, C, B), D)=k5_euclid(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_ndiff_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, C)) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, B) => k7_partfun1(k1_euclid(A), C, F)=k7_euclid(A, k9_euclid(A, D, F), E)) ) ) )  =>  (r2_ndiff_4(A, C, B) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, B) => k1_funct_1(k2_ndiff_4(A, C, B), F)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_ndiff_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [C] :  (v1_xreal_0(C) =>  (r1_ndiff_4(A, B, C) => r1_nfcont_4(A, B, C)) ) ) ) ) ) ) ).
fof(t20_ndiff_4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(B)))))  =>  (r2_ndiff_4(B, C, A) => v1_nfcont_4(k2_partfun1(k1_numbers, k1_euclid(B), C, A), B)) ) ) ) ) ) ).
fof(t21_ndiff_4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( (v3_rcomp_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers)))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(B)))))  =>  ( (r2_ndiff_4(B, D, A) & r1_tarski(C, A))  => r2_ndiff_4(B, D, C)) ) ) ) ) ) ) ) ).
fof(d5_ndiff_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (v1_ndiff_4(B, A) <=> r2_ndiff_4(A, B, k1_relset_1(k1_numbers, B))) ) ) ) ) ).
fof(t22_ndiff_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_ndiff_4(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A))))) )  =>  (r1_tarski(B, k1_relset_1(k1_numbers, C)) => r2_ndiff_4(A, C, B)) ) ) ) ) ) ) ).
fof(t23_ndiff_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  (v1_partfun1(B, k1_numbers) =>  (v1_ndiff_3(B, k4_real_ns1(A)) <=>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (E=k5_numbers)  &  ( ~ (r1_xxreal_0(D, k9_complex1(E)))  & r1_xxreal_0(C, k3_xcmplx_0(k5_xcmplx_0(k9_complex1(E)), k2_normsp_0(k4_real_ns1(A), k7_partfun1(u1_struct_0(k4_real_ns1(A)), B, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_ndiff_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(B))))))  =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, B) & r1_ndiff_3(k4_real_ns1(B), C, D)) )  =>  (r1_ndiff_3(k4_real_ns1(1), k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(1)), C, k4_pdiff_1(A, B)), D) & k3_funct_2(u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(1)), k4_pdiff_1(A, B), k1_ndiff_3(k4_real_ns1(B), C, D))=k1_ndiff_3(k4_real_ns1(1), k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(1)), C, k4_pdiff_1(A, B)), D)) ) ) ) ) ) ) ) ) ) ).
fof(t25_ndiff_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  (! [C] :  (v1_xreal_0(C) =>  (r1_ndiff_3(k4_real_ns1(A), B, C) <=>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, A))  => r1_ndiff_3(k4_real_ns1(1), k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(1)), B, k4_pdiff_1(D, A)), C)) ) ) ) ) ) ) ) ) ) ).
fof(t26_ndiff_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(B)))))  =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, B) & r1_ndiff_4(B, C, D)) )  =>  (r1_ndiff_3(k4_real_ns1(1), k1_partfun1(k1_numbers, k1_euclid(B), u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(1)), C, k4_pdiff_1(A, B)), D) & k1_funct_1(k4_pdiff_1(A, B), k1_ndiff_4(B, C, D))=k1_ndiff_3(k4_real_ns1(1), k1_partfun1(k1_numbers, k1_euclid(B), u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(1)), C, k4_pdiff_1(A, B)), D)) ) ) ) ) ) ) ) ) ) ).
fof(t27_ndiff_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [C] :  (v1_xreal_0(C) =>  (r1_ndiff_4(A, B, C) <=>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, A))  => r1_ndiff_3(k4_real_ns1(1), k1_partfun1(k1_numbers, k1_euclid(A), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(1)), B, k4_pdiff_1(D, A)), C)) ) ) ) ) ) ) ) ) ) ).
fof(t28_ndiff_4, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & m1_subset_1(C, k4_ordinal1))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(C))))))  =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, C) & r2_ndiff_3(k4_real_ns1(C), D, A)) )  =>  (r2_ndiff_3(k4_real_ns1(1), k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(C)), u1_struct_0(k4_real_ns1(C)), u1_struct_0(k4_real_ns1(1)), D, k4_pdiff_1(B, C)), A) & r2_relset_1(k1_numbers, u1_struct_0(k4_real_ns1(1)), k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(C)), u1_struct_0(k4_real_ns1(C)), u1_struct_0(k4_real_ns1(1)), k2_ndiff_3(k4_real_ns1(C), D, A), k4_pdiff_1(B, C)), k2_ndiff_3(k4_real_ns1(1), k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(C)), u1_struct_0(k4_real_ns1(C)), u1_struct_0(k4_real_ns1(1)), D, k4_pdiff_1(B, C)), A))) ) ) ) ) ) ) ) ) ).
fof(t29_ndiff_4, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & m1_subset_1(C, k4_ordinal1))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(C)))))  =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, C) & r2_ndiff_4(C, D, A)) )  =>  (r2_ndiff_3(k4_real_ns1(1), k1_partfun1(k1_numbers, k1_euclid(C), u1_struct_0(k4_real_ns1(C)), u1_struct_0(k4_real_ns1(1)), D, k4_pdiff_1(B, C)), A) & r2_relset_1(k1_numbers, u1_struct_0(k4_real_ns1(1)), k1_partfun1(k1_numbers, k1_euclid(C), u1_struct_0(k4_real_ns1(C)), u1_struct_0(k4_real_ns1(1)), k2_ndiff_4(C, D, A), k4_pdiff_1(B, C)), k2_ndiff_3(k4_real_ns1(1), k1_partfun1(k1_numbers, k1_euclid(C), u1_struct_0(k4_real_ns1(C)), u1_struct_0(k4_real_ns1(1)), D, k4_pdiff_1(B, C)), A))) ) ) ) ) ) ) ) ) ).
fof(t30_ndiff_4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(B))))))  =>  (r2_ndiff_3(k4_real_ns1(B), C, A) <=>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, B))  => r2_ndiff_3(k4_real_ns1(1), k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(1)), C, k4_pdiff_1(D, B)), A)) ) ) ) ) ) ) ) ) ).
fof(t31_ndiff_4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(B)))))  =>  (r2_ndiff_4(B, C, A) <=>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, B))  => r2_ndiff_3(k4_real_ns1(1), k1_partfun1(k1_numbers, k1_euclid(B), u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(1)), C, k4_pdiff_1(D, B)), A)) ) ) ) ) ) ) ) ) ).
fof(t32_ndiff_4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k4_real_ns1(1)), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)), k1_numbers)))) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_real_ns1(1))) =>  (r1_funct_2(u1_struct_0(k4_real_ns1(1)), k1_numbers, k1_euclid(1), k1_numbers, A, k1_pdiff_1(1, 1)) => r2_nfcont_1(k4_real_ns1(1), A, B)) ) ) ) ) ).
fof(t33_ndiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_numbers, u1_struct_0(k4_real_ns1(1))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(1)))))) )  =>  (B=k2_funct_1(k1_pdiff_1(1, 1)) => r1_nfcont_3(k4_real_ns1(1), B, A)) ) ) ) ) ).
fof(t34_ndiff_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B)))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r2_tarski(E, k1_relset_1(u1_struct_0(A), k1_partfun1(u1_struct_0(A), k1_numbers, k1_numbers, u1_struct_0(B), C, D))) &  (r2_nfcont_1(A, C, E) & r1_nfcont_3(B, D, k7_partfun1(k1_numbers, C, E))) )  => r1_nfcont_1(A, B, k1_partfun1(u1_struct_0(A), k1_numbers, k1_numbers, u1_struct_0(B), C, D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_ndiff_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k4_real_ns1(1)), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)), k1_numbers)))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(1))) =>  (! [D] :  (m1_subset_1(D, k1_numbers) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A))))))  =>  ( (r1_funct_2(u1_struct_0(k4_real_ns1(1)), k1_numbers, k1_euclid(1), k1_numbers, B, k1_pdiff_1(1, 1)) &  (r2_tarski(C, k1_relset_1(u1_struct_0(k4_real_ns1(1)), F)) &  (r2_tarski(D, k1_relset_1(k1_numbers, E)) &  (C=k12_finseq_1(k1_numbers, D) & r2_relset_1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), F, k1_partfun1(u1_struct_0(k4_real_ns1(1)), k1_numbers, k1_numbers, u1_struct_0(k4_real_ns1(A)), B, E))) ) ) )  =>  (r1_nfcont_1(k4_real_ns1(1), k4_real_ns1(A), F, C) <=> r1_nfcont_3(k4_real_ns1(A), E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_ndiff_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_numbers, u1_struct_0(k4_real_ns1(1))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(1)))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(1))) =>  (! [D] :  (m1_subset_1(D, k1_numbers) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A))))))  =>  ( (B=k2_funct_1(k1_pdiff_1(1, 1)) &  (r2_tarski(C, k1_relset_1(u1_struct_0(k4_real_ns1(1)), F)) &  (r2_tarski(D, k1_relset_1(k1_numbers, E)) &  (C=k12_finseq_1(k1_numbers, D) & r2_relset_1(k1_numbers, u1_struct_0(k4_real_ns1(A)), k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), B, F), E)) ) ) )  =>  (r1_nfcont_1(k4_real_ns1(1), k4_real_ns1(A), F, C) <=> r1_nfcont_3(k4_real_ns1(A), E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_ndiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_numbers, u1_struct_0(k4_real_ns1(1))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(1)))))) )  =>  (B=k2_funct_1(k1_pdiff_1(1, 1)) =>  (r1_ndiff_3(k4_real_ns1(1), B, A) & k1_ndiff_3(k4_real_ns1(1), B, A)=k12_finseq_1(k4_ordinal1, 1)) ) ) ) ) ) ).
fof(d6_ndiff_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), k1_numbers))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(A))) =>  (r3_ndiff_4(A, B, C) <=>  (? [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  &  (? [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) &  (B=D &  (C=E & r1_pdiff_7(A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_ndiff_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), k1_numbers))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(A))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k4_real_ns1(A)), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), k1_numbers)))) )  =>  (D=k3_ndiff_4(A, B, C) <=>  (? [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  &  (? [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(A)) &  (B=E &  (C=F & r1_funct_2(u1_struct_0(k4_real_ns1(A)), k1_numbers, k1_euclid(A), k1_numbers, D, k1_pdiff_7(A, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_ndiff_4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k1_euclid(1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(1), k1_numbers)))) )  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(1)) =>  (r2_funct_2(k1_euclid(1), k1_numbers, A, k1_pdiff_1(1, 1)) =>  (r1_pdiff_7(1, A, B) & r2_funct_2(k1_euclid(1), k1_numbers, k1_pdiff_7(1, A, B), A)) ) ) ) ) ) ).
fof(t39_ndiff_4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k4_real_ns1(1)), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)), k1_numbers)))) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_real_ns1(1))) =>  (r1_funct_2(u1_struct_0(k4_real_ns1(1)), k1_numbers, k1_euclid(1), k1_numbers, A, k1_pdiff_1(1, 1)) =>  (r3_ndiff_4(1, A, B) & r2_funct_2(u1_struct_0(k4_real_ns1(1)), k1_numbers, k3_ndiff_4(1, A, B), A)) ) ) ) ) ) ).
fof(t40_ndiff_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_numbers, u1_struct_0(k4_real_ns1(1))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(1)))))) )  =>  (B=k2_funct_1(k1_pdiff_1(1, 1)) =>  ( (! [C] :  ( (v1_funct_1(C) &  (v2_ndiff_1(C, k4_real_ns1(1), k4_real_ns1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)))))) )  =>  (v1_funct_1(k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), B, C)) &  (v1_ndiff_3(k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), B, C), k4_real_ns1(A)) & m1_subset_1(k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), B, C), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A)))))) ) ) )  &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A))) &  (v13_vectsp_1(C, k4_real_ns1(1), k4_real_ns1(A)) &  (v1_lopban_1(C, k4_real_ns1(1), k4_real_ns1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)))))) ) ) )  =>  (v1_funct_1(k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), B, C)) &  (v1_funct_2(k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), B, C), k1_numbers, u1_struct_0(k4_real_ns1(A))) &  (v2_ndiff_3(k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), B, C), k4_real_ns1(A)) & m1_subset_1(k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), B, C), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A)))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_ndiff_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k4_real_ns1(1)), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)), k1_numbers)))) )  =>  (r1_funct_2(u1_struct_0(k4_real_ns1(1)), k1_numbers, k1_euclid(1), k1_numbers, B, k1_pdiff_1(1, 1)) =>  ( (! [C] :  ( (v1_funct_1(C) &  (v1_ndiff_3(C, k4_real_ns1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A)))))) )  =>  (v1_funct_1(k1_partfun1(u1_struct_0(k4_real_ns1(1)), k1_numbers, k1_numbers, u1_struct_0(k4_real_ns1(A)), B, C)) &  (v2_ndiff_1(k1_partfun1(u1_struct_0(k4_real_ns1(1)), k1_numbers, k1_numbers, u1_struct_0(k4_real_ns1(A)), B, C), k4_real_ns1(1), k4_real_ns1(A)) & m1_subset_1(k1_partfun1(u1_struct_0(k4_real_ns1(1)), k1_numbers, k1_numbers, u1_struct_0(k4_real_ns1(A)), B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)))))) ) ) )  &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, u1_struct_0(k4_real_ns1(A))) &  (v2_ndiff_3(C, k4_real_ns1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A)))))) ) )  =>  (v1_funct_1(k1_partfun1(u1_struct_0(k4_real_ns1(1)), k1_numbers, k1_numbers, u1_struct_0(k4_real_ns1(A)), B, C)) &  (v1_funct_2(k1_partfun1(u1_struct_0(k4_real_ns1(1)), k1_numbers, k1_numbers, u1_struct_0(k4_real_ns1(A)), B, C), u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A))) &  (v13_vectsp_1(k1_partfun1(u1_struct_0(k4_real_ns1(1)), k1_numbers, k1_numbers, u1_struct_0(k4_real_ns1(A)), B, C), k4_real_ns1(1), k4_real_ns1(A)) &  (v1_lopban_1(k1_partfun1(u1_struct_0(k4_real_ns1(1)), k1_numbers, k1_numbers, u1_struct_0(k4_real_ns1(A)), B, C), k4_real_ns1(1), k4_real_ns1(A)) &  (v2_lopban_1(k1_partfun1(u1_struct_0(k4_real_ns1(1)), k1_numbers, k1_numbers, u1_struct_0(k4_real_ns1(A)), B, C), k4_real_ns1(1), k4_real_ns1(A)) & m1_subset_1(k1_partfun1(u1_struct_0(k4_real_ns1(1)), k1_numbers, k1_numbers, u1_struct_0(k4_real_ns1(A)), B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_ndiff_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_numbers, u1_struct_0(k4_real_ns1(1))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(1)))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(1))) =>  (! [D] :  (m1_subset_1(D, k1_numbers) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A))))))  =>  ( (B=k2_funct_1(k1_pdiff_1(1, 1)) &  (r2_tarski(C, k1_relset_1(u1_struct_0(k4_real_ns1(1)), F)) &  (r2_tarski(D, k1_relset_1(k1_numbers, E)) &  (C=k12_finseq_1(k1_numbers, D) &  (r2_relset_1(k1_numbers, u1_struct_0(k4_real_ns1(A)), k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), B, F), E) & r1_ndiff_1(k4_real_ns1(1), k4_real_ns1(A), F, C)) ) ) ) )  =>  (r1_ndiff_3(k4_real_ns1(A), E, D) &  (k1_ndiff_3(k4_real_ns1(A), E, D)=k1_funct_1(k3_ndiff_1(k4_real_ns1(1), k4_real_ns1(A), F, C), k12_finseq_1(k4_ordinal1, 1)) &  (! [G] :  (m1_subset_1(G, k1_numbers) => k1_funct_1(k3_ndiff_1(k4_real_ns1(1), k4_real_ns1(A), F, C), k12_finseq_1(k1_numbers, G))=k1_rlvect_1(k4_real_ns1(A), k1_ndiff_3(k4_real_ns1(A), E, D), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_ndiff_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_numbers, u1_struct_0(k4_real_ns1(1))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(1)))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(1))) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A))))))  =>  ( (B=k2_funct_1(k1_pdiff_1(1, 1)) &  (r2_tarski(C, k1_relset_1(u1_struct_0(k4_real_ns1(1)), F)) &  (r2_hidden(D, k1_relset_1(k1_numbers, E)) &  (C=k9_finseq_1(D) & r2_relset_1(k1_numbers, u1_struct_0(k4_real_ns1(A)), k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), B, F), E)) ) ) )  =>  (r1_ndiff_1(k4_real_ns1(1), k4_real_ns1(A), F, C) <=> r1_ndiff_3(k4_real_ns1(A), E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_ndiff_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k4_real_ns1(1)), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)), k1_numbers)))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(1))) =>  (! [D] :  (m1_subset_1(D, k1_numbers) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A))))))  =>  ( (r1_funct_2(u1_struct_0(k4_real_ns1(1)), k1_numbers, k1_euclid(1), k1_numbers, B, k1_pdiff_1(1, 1)) &  (r2_tarski(C, k1_relset_1(u1_struct_0(k4_real_ns1(1)), F)) &  (r2_tarski(D, k1_relset_1(k1_numbers, E)) &  (C=k12_finseq_1(k1_numbers, D) & r2_relset_1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), F, k1_partfun1(u1_struct_0(k4_real_ns1(1)), k1_numbers, k1_numbers, u1_struct_0(k4_real_ns1(A)), B, E))) ) ) )  =>  (r1_ndiff_1(k4_real_ns1(1), k4_real_ns1(A), F, C) <=> r1_ndiff_3(k4_real_ns1(A), E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_ndiff_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k4_real_ns1(1)), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)), k1_numbers)))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(1))) =>  (! [D] :  (m1_subset_1(D, k1_numbers) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A))))))  =>  ( (r1_funct_2(u1_struct_0(k4_real_ns1(1)), k1_numbers, k1_euclid(1), k1_numbers, B, k1_pdiff_1(1, 1)) &  (r2_tarski(C, k1_relset_1(u1_struct_0(k4_real_ns1(1)), F)) &  (r2_tarski(D, k1_relset_1(k1_numbers, E)) &  (C=k12_finseq_1(k1_numbers, D) &  (r2_relset_1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), F, k1_partfun1(u1_struct_0(k4_real_ns1(1)), k1_numbers, k1_numbers, u1_struct_0(k4_real_ns1(A)), B, E)) & r1_ndiff_3(k4_real_ns1(A), E, D)) ) ) ) )  =>  (r1_ndiff_1(k4_real_ns1(1), k4_real_ns1(A), F, C) &  (k1_ndiff_3(k4_real_ns1(A), E, D)=k1_funct_1(k3_ndiff_1(k4_real_ns1(1), k4_real_ns1(A), F, C), k12_finseq_1(k4_ordinal1, 1)) &  (! [G] :  (m1_subset_1(G, k1_numbers) => k1_funct_1(k3_ndiff_1(k4_real_ns1(1), k4_real_ns1(A), F, C), k12_finseq_1(k1_numbers, G))=k1_rlvect_1(k4_real_ns1(A), k1_ndiff_3(k4_real_ns1(A), E, D), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_ndiff_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_ndiff_3(B, k4_real_ns1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A)))))) )  =>  (k7_partfun1(u1_struct_0(k4_real_ns1(A)), B, k5_numbers)=k4_struct_0(k4_real_ns1(A)) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ( ~ (r1_xxreal_0(D, k9_complex1(E)))  => r1_xxreal_0(k2_normsp_0(k4_real_ns1(A), k7_partfun1(u1_struct_0(k4_real_ns1(A)), B, E)), k3_xcmplx_0(C, k9_complex1(E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_ndiff_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_ndiff_3(C, k4_real_ns1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A)))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))) &  (v13_vectsp_1(D, k4_real_ns1(A), k4_real_ns1(B)) &  (v1_lopban_1(D, k4_real_ns1(A), k4_real_ns1(B)) &  (v2_lopban_1(D, k4_real_ns1(A), k4_real_ns1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)))))) ) ) ) )  =>  (v1_funct_1(k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)), C, D)) &  (v1_ndiff_3(k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)), C, D), k4_real_ns1(B)) & m1_subset_1(k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)), C, D), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(B)))))) ) ) ) ) ) ) ) ) ) ).
fof(t48_ndiff_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_ndiff_3(C, k4_real_ns1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A)))))) )  =>  (k7_partfun1(u1_struct_0(k4_real_ns1(A)), C, k5_numbers)=k4_struct_0(k4_real_ns1(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v2_ndiff_1(D, k4_real_ns1(A), k4_real_ns1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)))))) )  =>  (k7_partfun1(u1_struct_0(k4_real_ns1(B)), D, k4_struct_0(k4_real_ns1(A)))=k4_struct_0(k4_real_ns1(B)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, u1_struct_0(k4_real_ns1(A))) &  (v2_ndiff_3(E, k4_real_ns1(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A)))))) ) )  =>  (v1_funct_1(k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)), k6_vfunct_1(k1_numbers, k4_real_ns1(A), E, C), D)) &  (v1_ndiff_3(k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)), k6_vfunct_1(k1_numbers, k4_real_ns1(A), E, C), D), k4_real_ns1(B)) & m1_subset_1(k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)), k6_vfunct_1(k1_numbers, k4_real_ns1(A), E, C), D), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(B)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_ndiff_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_ndiff_3(C, k4_real_ns1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A)))))) )  =>  (k7_partfun1(u1_struct_0(k4_real_ns1(A)), C, k5_numbers)=k4_struct_0(k4_real_ns1(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v2_ndiff_1(D, k4_real_ns1(A), k4_real_ns1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)))))) )  =>  (k7_partfun1(u1_struct_0(k4_real_ns1(B)), D, k4_struct_0(k4_real_ns1(A)))=k4_struct_0(k4_real_ns1(B)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, u1_struct_0(k4_real_ns1(A))) &  (v2_ndiff_3(E, k4_real_ns1(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A)))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))) &  (v13_vectsp_1(F, k4_real_ns1(A), k4_real_ns1(B)) &  (v1_lopban_1(F, k4_real_ns1(A), k4_real_ns1(B)) &  (v2_lopban_1(F, k4_real_ns1(A), k4_real_ns1(B)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)))))) ) ) ) )  =>  (v1_funct_1(k6_vfunct_1(k1_numbers, k4_real_ns1(B), k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)), C, F), k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)), k6_vfunct_1(k1_numbers, k4_real_ns1(A), E, C), D))) &  (v1_ndiff_3(k6_vfunct_1(k1_numbers, k4_real_ns1(B), k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)), C, F), k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)), k6_vfunct_1(k1_numbers, k4_real_ns1(A), E, C), D)), k4_real_ns1(B)) & m1_subset_1(k6_vfunct_1(k1_numbers, k4_real_ns1(B), k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)), C, F), k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)), k6_vfunct_1(k1_numbers, k4_real_ns1(A), E, C), D)), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(B)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_ndiff_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  (m1_subset_1(C, k1_numbers) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  (r1_ndiff_3(k4_real_ns1(A), D, C) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  =>  (r1_ndiff_1(k4_real_ns1(A), k4_real_ns1(B), E, k7_partfun1(u1_struct_0(k4_real_ns1(A)), D, C)) =>  (r1_ndiff_3(k4_real_ns1(B), k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)), D, E), C) & k1_ndiff_3(k4_real_ns1(B), k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)), D, E), C)=k17_lopban_1(k4_real_ns1(A), k4_real_ns1(B), k3_ndiff_1(k4_real_ns1(A), k4_real_ns1(B), E, k7_partfun1(u1_struct_0(k4_real_ns1(A)), D, C)), k1_ndiff_3(k4_real_ns1(A), D, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_ndiff_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  & v1_xreal_0(C)) )  => m2_finseq_2(k1_ndiff_4(A, B, C), k1_numbers, k1_euclid(A))) ) ).
fof(dt_k2_ndiff_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A))))) )  =>  (v1_funct_1(k2_ndiff_4(A, B, C)) & m1_subset_1(k2_ndiff_4(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A))))) ) ) ).
fof(dt_k3_ndiff_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), k1_numbers))))  & m1_subset_1(C, u1_struct_0(k4_real_ns1(A)))) )  =>  (v1_funct_1(k3_ndiff_4(A, B, C)) &  (v1_funct_2(k3_ndiff_4(A, B, C), u1_struct_0(k4_real_ns1(A)), k1_numbers) & m1_subset_1(k3_ndiff_4(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), k1_numbers)))) ) ) ) ).
fof(fc1_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  ( ~ (v2_struct_0(k14_prvect_2(A)))  &  (v1_normsp_1(k14_prvect_2(A)) & v2_monoid_0(k14_prvect_2(A))) ) ) ) ).
fof(rc1_ndiff_5, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v4_card_3(A) &  (v1_prvect_2(A) &  (v2_prvect_2(A) & v1_ndiff_5(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc2_ndiff_5, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) &  (v2_prvect_2(A) & v1_ndiff_5(A)) ) ) ) )  & m1_subset_1(B, k4_finseq_1(A)))  =>  ( ~ (v2_struct_0(k1_funct_1(A, B)))  &  ( ~ (v7_struct_0(k1_funct_1(A, B)))  &  (v13_algstr_0(k1_funct_1(A, B)) &  (v2_rlvect_1(k1_funct_1(A, B)) &  (v3_rlvect_1(k1_funct_1(A, B)) &  (v4_rlvect_1(k1_funct_1(A, B)) &  (v5_rlvect_1(k1_funct_1(A, B)) &  (v6_rlvect_1(k1_funct_1(A, B)) &  (v7_rlvect_1(k1_funct_1(A, B)) &  (v8_rlvect_1(k1_funct_1(A, B)) &  (v3_normsp_0(k1_funct_1(A, B)) &  (v4_normsp_0(k1_funct_1(A, B)) & v2_normsp_1(k1_funct_1(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc3_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) &  (v2_prvect_2(A) & v1_ndiff_5(A)) ) ) ) )  =>  ( ~ (v2_struct_0(k14_prvect_2(A)))  &  ( ~ (v7_struct_0(k14_prvect_2(A)))  & v1_normsp_1(k14_prvect_2(A))) ) ) ) ).
fof(cc1_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k14_prvect_2(A))) => v3_card_1(B, k3_finseq_1(A))) ) ) ) ).
fof(t1_ndiff_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_numbers, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  =>  (v1_ndiff_3(B, A) <=>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (E=k5_numbers)  &  ( ~ (r1_xxreal_0(D, k9_complex1(E)))  & r1_xxreal_0(C, k3_xcmplx_0(k5_xcmplx_0(k9_complex1(E)), k2_normsp_0(A, k7_partfun1(u1_struct_0(A), B, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_ndiff_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_ndiff_3(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  =>  (k7_partfun1(u1_struct_0(A), B, k5_numbers)=k4_struct_0(A) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ( ~ (r1_xxreal_0(D, k9_complex1(E)))  => r1_xxreal_0(k2_normsp_0(A, k7_partfun1(u1_struct_0(A), B, E)), k3_xcmplx_0(C, k9_complex1(E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_ndiff_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_ndiff_3(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(D, A, B) &  (v1_lopban_1(D, A, B) &  (v2_lopban_1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (v1_funct_1(k1_partfun1(k1_numbers, u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), C, D)) &  (v1_ndiff_3(k1_partfun1(k1_numbers, u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), C, D), B) & m1_subset_1(k1_partfun1(k1_numbers, u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), C, D), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B))))) ) ) ) ) ) ) ) ) ) ).
fof(t4_ndiff_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_ndiff_3(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  =>  (k7_partfun1(u1_struct_0(A), C, k5_numbers)=k4_struct_0(A) =>  (! [D] :  ( (v1_funct_1(D) &  (v2_ndiff_1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (k7_partfun1(u1_struct_0(B), D, k4_struct_0(A))=k4_struct_0(B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, u1_struct_0(A)) &  (v2_ndiff_3(E, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) ) )  =>  (v1_funct_1(k1_partfun1(k1_numbers, u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), k6_vfunct_1(k1_numbers, A, E, C), D)) &  (v1_ndiff_3(k1_partfun1(k1_numbers, u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), k6_vfunct_1(k1_numbers, A, E, C), D), B) & m1_subset_1(k1_partfun1(k1_numbers, u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), k6_vfunct_1(k1_numbers, A, E, C), D), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_ndiff_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_ndiff_3(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  =>  (k7_partfun1(u1_struct_0(A), C, k5_numbers)=k4_struct_0(A) =>  (! [D] :  ( (v1_funct_1(D) &  (v2_ndiff_1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (k7_partfun1(u1_struct_0(B), D, k4_struct_0(A))=k4_struct_0(B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, u1_struct_0(A)) &  (v2_ndiff_3(E, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(F, A, B) &  (v1_lopban_1(F, A, B) &  (v2_lopban_1(F, A, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (v1_funct_1(k6_vfunct_1(k1_numbers, B, k1_partfun1(k1_numbers, u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), C, F), k1_partfun1(k1_numbers, u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), k6_vfunct_1(k1_numbers, A, E, C), D))) &  (v1_ndiff_3(k6_vfunct_1(k1_numbers, B, k1_partfun1(k1_numbers, u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), C, F), k1_partfun1(k1_numbers, u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), k6_vfunct_1(k1_numbers, A, E, C), D)), B) & m1_subset_1(k6_vfunct_1(k1_numbers, B, k1_partfun1(k1_numbers, u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), C, F), k1_partfun1(k1_numbers, u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), k6_vfunct_1(k1_numbers, A, E, C), D)), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_ndiff_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (r1_ndiff_3(A, D, C) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (r1_ndiff_1(A, B, E, k7_partfun1(u1_struct_0(A), D, C)) =>  (r1_ndiff_3(B, k1_partfun1(k1_numbers, u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), D, E), C) & k1_ndiff_3(B, k1_partfun1(k1_numbers, u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), D, E), C)=k17_lopban_1(A, B, k3_ndiff_1(A, B, E, k7_partfun1(u1_struct_0(A), D, C)), k1_ndiff_3(A, D, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_ndiff_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r2_tarski(D, k4_finseq_1(B)) => k1_funct_1(C, D)=k2_normsp_0(A, k7_partfun1(u1_struct_0(A), B, D))) ) ) )  => r1_xxreal_0(k2_normsp_0(A, k4_rlvect_1(A, B)), k18_rvsum_1(C))) ) ) ) ) ) ) ).
fof(t8_ndiff_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_nfcont_1(C, A, B) =>  (! [D] :  (m1_nfcont_1(D, A, B) => m1_nfcont_1(k9_subset_1(u1_struct_0(A), C, D), A, B)) ) ) ) ) ) ) ) ).
fof(t9_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  =>  (! [B] :  (r2_tarski(B, k4_card_3(A)) =>  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) ) ) ) ).
fof(t10_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  => u1_struct_0(k14_prvect_2(A))=k4_card_3(k4_prvect_2(A))) ) ).
fof(t11_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  (m2_subset_1(B, k4_ordinal1, k4_finseq_1(A)) =>  (! [C] :  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (r2_tarski(C, u1_struct_0(k11_prvect_2(A, B))) & r2_tarski(D, k4_card_3(k4_prvect_2(A))))  => r2_tarski(k1_funct_7(D, B, C), u1_struct_0(k14_prvect_2(A)))) ) ) ) ) ) ) ) ).
fof(d1_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (v1_ndiff_5(A) <=>  (! [B] :  (m2_subset_1(B, k4_ordinal1, k4_finseq_1(A)) =>  ~ (v7_struct_0(k11_prvect_2(A, B))) ) ) ) ) ) ).
fof(t12_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k14_prvect_2(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_prvect_2(A))) =>  (! [D] :  (m1_subset_1(D, k4_card_3(k4_prvect_2(A))) =>  (! [E] :  (m1_subset_1(E, k4_card_3(k4_prvect_2(A))) =>  (! [F] :  (m1_subset_1(F, k4_card_3(k4_prvect_2(A))) =>  ( (B=E & C=F)  =>  (k3_rlvect_1(k14_prvect_2(A), B, C)=D <=>  (! [G] :  (m2_subset_1(G, k4_ordinal1, k4_finseq_1(A)) => k1_ndiff_5(A, D, G)=k3_rlvect_1(k3_prvect_2(A, G), k1_ndiff_5(A, E, G), k1_ndiff_5(A, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k14_prvect_2(A))) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, k4_card_3(k4_prvect_2(A))) =>  (! [E] :  (m1_subset_1(E, k4_card_3(k4_prvect_2(A))) =>  (B=E =>  (k1_rlvect_1(k14_prvect_2(A), B, C)=D <=>  (! [F] :  (m2_subset_1(F, k4_ordinal1, k4_finseq_1(A)) => k1_ndiff_5(A, D, F)=k1_rlvect_1(k3_prvect_2(A, F), k1_ndiff_5(A, E, F), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_card_3(k4_prvect_2(A))) =>  (k4_struct_0(k14_prvect_2(A))=B <=>  (! [C] :  (m2_subset_1(C, k4_ordinal1, k4_finseq_1(A)) => k1_ndiff_5(A, B, C)=k4_struct_0(k11_prvect_2(A, C))) ) ) ) ) ) ) ).
fof(t15_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k14_prvect_2(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_prvect_2(A))) =>  (! [D] :  (m1_subset_1(D, k4_card_3(k4_prvect_2(A))) =>  (! [E] :  (m1_subset_1(E, k4_card_3(k4_prvect_2(A))) =>  (! [F] :  (m1_subset_1(F, k4_card_3(k4_prvect_2(A))) =>  ( (B=E & C=F)  =>  (k5_algstr_0(k14_prvect_2(A), B, C)=D <=>  (! [G] :  (m2_subset_1(G, k4_ordinal1, k4_finseq_1(A)) => k1_ndiff_5(A, D, G)=k5_algstr_0(k3_prvect_2(A, G), k1_ndiff_5(A, E, G), k1_ndiff_5(A, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_ndiff_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_ndiff_5(A, B, C)=k7_subset_1(u1_struct_0(A), k1_rltopsp1(A, B, C), k2_tarski(B, C))) ) ) ) ) ) ).
fof(t17_ndiff_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (v1_partfun1(B, k1_numbers) =>  (v1_ndiff_3(B, A) <=>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (E=k5_numbers)  &  ( ~ (r1_xxreal_0(D, k9_complex1(E)))  & r1_xxreal_0(C, k7_xcmplx_0(k2_normsp_0(A, k7_partfun1(u1_struct_0(A), B, E)), k9_complex1(E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_ndiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (v2_fdiff_1(A) <=>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (D=k5_numbers)  &  ( ~ (r1_xxreal_0(C, k9_complex1(D)))  & r1_xxreal_0(B, k7_xcmplx_0(k9_complex1(k1_funct_1(A, D)), k9_complex1(D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_ndiff_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (v1_xreal_0(F) =>  ( (r1_tarski(k1_rltopsp1(A, D, E), k1_relset_1(u1_struct_0(A), C)) &  ( (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r2_tarski(G, k1_rltopsp1(A, D, E)) => r1_nfcont_1(A, B, C, G)) ) )  &  ( (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r2_tarski(G, k2_ndiff_5(A, D, E)) => r1_ndiff_1(A, B, C, G)) ) )  &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r2_tarski(G, k2_ndiff_5(A, D, E)) => r1_xxreal_0(k2_normsp_0(k16_lopban_1(A, B), k3_ndiff_1(A, B, C, G)), F)) ) ) ) ) )  => r1_xxreal_0(k2_normsp_0(B, k5_algstr_0(B, k7_partfun1(u1_struct_0(B), C, E), k7_partfun1(u1_struct_0(B), C, D))), k3_xcmplx_0(F, k2_normsp_0(A, k5_algstr_0(A, E, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_ndiff_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k16_lopban_1(A, B))) =>  ( (r1_tarski(k1_rltopsp1(A, D, E), k1_relset_1(u1_struct_0(A), C)) &  ( (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (r2_tarski(H, k1_rltopsp1(A, D, E)) => r1_nfcont_1(A, B, C, H)) ) )  &  ( (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (r2_tarski(H, k2_ndiff_5(A, D, E)) => r1_ndiff_1(A, B, C, H)) ) )  &  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (r2_tarski(H, k2_ndiff_5(A, D, E)) => r1_xxreal_0(k2_normsp_0(k16_lopban_1(A, B), k5_algstr_0(k16_lopban_1(A, B), k3_ndiff_1(A, B, C, H), G)), F)) ) ) ) ) )  => r1_xxreal_0(k2_normsp_0(B, k5_algstr_0(B, k5_algstr_0(B, k7_partfun1(u1_struct_0(B), C, E), k7_partfun1(u1_struct_0(B), C, D)), k17_lopban_1(A, B, G, k5_algstr_0(A, E, D)))), k3_xcmplx_0(F, k2_normsp_0(A, k5_algstr_0(A, E, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  (m2_subset_1(B, k4_ordinal1, k4_finseq_1(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k14_prvect_2(A)), u1_struct_0(k11_prvect_2(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)), u1_struct_0(k11_prvect_2(A, B)))))) )  =>  (C=k3_ndiff_5(A, B) <=>  (! [D] :  (m1_subset_1(D, k4_card_3(k4_prvect_2(A))) => k1_funct_1(C, D)=k1_ndiff_5(A, D, B)) ) ) ) ) ) ) ) ) ).
fof(d4_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  (m2_subset_1(B, k4_ordinal1, k4_finseq_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_prvect_2(A))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k11_prvect_2(A, B)), u1_struct_0(k14_prvect_2(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k11_prvect_2(A, B)), u1_struct_0(k14_prvect_2(A)))))) )  =>  (D=k4_ndiff_5(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(k11_prvect_2(A, B))) => k3_funct_2(u1_struct_0(k11_prvect_2(A, B)), u1_struct_0(k14_prvect_2(A)), D, E)=k1_funct_7(C, B, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)), u1_struct_0(B)))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k14_prvect_2(A))) =>  (r1_ndiff_5(A, B, C, D, E) <=> r1_ndiff_1(k11_prvect_2(A, k10_subset_1(C, k4_finseq_1(A))), B, k1_partfun1(u1_struct_0(k11_prvect_2(A, k10_subset_1(C, k4_finseq_1(A)))), u1_struct_0(k14_prvect_2(A)), u1_struct_0(k14_prvect_2(A)), u1_struct_0(B), k4_ndiff_5(A, k10_subset_1(C, k4_finseq_1(A)), E), D), k3_funct_2(u1_struct_0(k14_prvect_2(A)), u1_struct_0(k11_prvect_2(A, k10_subset_1(C, k4_finseq_1(A)))), k3_ndiff_5(A, k10_subset_1(C, k4_finseq_1(A))), E))) ) ) ) ) ) ) ) ) ) ).
fof(d7_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)), u1_struct_0(B)))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k14_prvect_2(A))) => k5_ndiff_5(A, B, C, D, E)=k3_ndiff_1(k11_prvect_2(A, k10_subset_1(C, k4_finseq_1(A))), B, k1_partfun1(u1_struct_0(k11_prvect_2(A, k10_subset_1(C, k4_finseq_1(A)))), u1_struct_0(k14_prvect_2(A)), u1_struct_0(k14_prvect_2(A)), u1_struct_0(B), k4_ndiff_5(A, k10_subset_1(C, k4_finseq_1(A)), E), D), k3_funct_2(u1_struct_0(k14_prvect_2(A)), u1_struct_0(k11_prvect_2(A, k10_subset_1(C, k4_finseq_1(A)))), k3_ndiff_5(A, k10_subset_1(C, k4_finseq_1(A))), E))) ) ) ) ) ) ) ) ) ).
fof(d8_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)), u1_struct_0(B)))))  =>  (! [E] :  (r2_ndiff_5(A, B, C, D, E) <=>  (r1_tarski(E, k1_relset_1(u1_struct_0(k14_prvect_2(A)), D)) &  (! [F] :  (m1_subset_1(F, u1_struct_0(k14_prvect_2(A))) =>  (r2_tarski(F, E) => r1_ndiff_5(A, B, C, k2_partfun1(u1_struct_0(k14_prvect_2(A)), u1_struct_0(B), D, E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  (m2_subset_1(B, k4_ordinal1, k4_finseq_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k11_prvect_2(A, B))) => k2_normsp_0(k14_prvect_2(A), k3_funct_2(u1_struct_0(k11_prvect_2(A, B)), u1_struct_0(k14_prvect_2(A)), k4_ndiff_5(A, B, k4_struct_0(k14_prvect_2(A))), C))=k2_normsp_0(k11_prvect_2(A, B), C)) ) ) ) ) ) ).
fof(t22_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  (m2_subset_1(B, k4_ordinal1, k4_finseq_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_prvect_2(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k11_prvect_2(A, B))) =>  (k5_algstr_0(k14_prvect_2(A), k3_funct_2(u1_struct_0(k11_prvect_2(A, B)), u1_struct_0(k14_prvect_2(A)), k4_ndiff_5(A, B, C), D), C)=k3_funct_2(u1_struct_0(k11_prvect_2(A, B)), u1_struct_0(k14_prvect_2(A)), k4_ndiff_5(A, B, k4_struct_0(k14_prvect_2(A))), k5_algstr_0(k11_prvect_2(A, B), D, k3_funct_2(u1_struct_0(k14_prvect_2(A)), u1_struct_0(k11_prvect_2(A, B)), k3_ndiff_5(A, B), C))) & k5_algstr_0(k14_prvect_2(A), C, k3_funct_2(u1_struct_0(k11_prvect_2(A, B)), u1_struct_0(k14_prvect_2(A)), k4_ndiff_5(A, B, C), D))=k3_funct_2(u1_struct_0(k11_prvect_2(A, B)), u1_struct_0(k14_prvect_2(A)), k4_ndiff_5(A, B, k4_struct_0(k14_prvect_2(A))), k5_algstr_0(k11_prvect_2(A, B), k3_funct_2(u1_struct_0(k14_prvect_2(A)), u1_struct_0(k11_prvect_2(A, B)), k3_ndiff_5(A, B), C), D))) ) ) ) ) ) ) ) ) ).
fof(t23_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  (m2_subset_1(B, k4_ordinal1, k4_finseq_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_prvect_2(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k14_prvect_2(A)))) =>  ~ ( (v3_nfcont_1(D, k14_prvect_2(A)) &  (r2_tarski(C, D) &  (! [E] :  (m1_nfcont_1(E, k11_prvect_2(A, B), k3_funct_2(u1_struct_0(k14_prvect_2(A)), u1_struct_0(k11_prvect_2(A, B)), k3_ndiff_5(A, B), C)) =>  (? [F] :  (m1_subset_1(F, u1_struct_0(k11_prvect_2(A, B))) &  (r2_tarski(F, E) &  ~ (r2_tarski(k3_funct_2(u1_struct_0(k11_prvect_2(A, B)), u1_struct_0(k14_prvect_2(A)), k4_ndiff_5(A, B, C), F), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)), u1_struct_0(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k14_prvect_2(A)))) =>  (v3_nfcont_1(E, k14_prvect_2(A)) =>  (r2_ndiff_5(A, B, C, D, E) <=>  (r1_tarski(E, k1_relset_1(u1_struct_0(k14_prvect_2(A)), D)) &  (! [F] :  (m1_subset_1(F, u1_struct_0(k14_prvect_2(A))) =>  (r2_tarski(F, E) => r1_ndiff_5(A, B, C, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)), u1_struct_0(B)))))  =>  (! [D] :  (! [E] :  ( (r2_tarski(E, k4_finseq_1(A)) & r2_ndiff_5(A, B, E, C, D))  => m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k14_prvect_2(A))))) ) ) ) ) ) ) ) ) ).
fof(d9_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)), u1_struct_0(B)))))  =>  (! [E] :  (r2_ndiff_5(A, B, C, D, E) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)), u1_struct_0(k16_lopban_1(k11_prvect_2(A, k10_subset_1(C, k4_finseq_1(A))), B))))))  =>  (F=k6_ndiff_5(A, B, C, D, E) <=>  (k1_relset_1(u1_struct_0(k14_prvect_2(A)), F)=E &  (! [G] :  (m1_subset_1(G, u1_struct_0(k14_prvect_2(A))) =>  (r2_tarski(G, E) => k7_partfun1(u1_struct_0(k16_lopban_1(k11_prvect_2(A, k10_subset_1(C, k4_finseq_1(A))), B)), F, G)=k5_ndiff_5(A, B, C, D, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)), u1_struct_0(B)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)), u1_struct_0(B)))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k14_prvect_2(A))) =>  (! [F] :  (r2_tarski(F, k4_finseq_1(A)) =>  (r2_relset_1(u1_struct_0(k11_prvect_2(A, k10_subset_1(F, k4_finseq_1(A)))), u1_struct_0(B), k1_partfun1(u1_struct_0(k11_prvect_2(A, k10_subset_1(F, k4_finseq_1(A)))), u1_struct_0(k14_prvect_2(A)), u1_struct_0(k14_prvect_2(A)), u1_struct_0(B), k4_ndiff_5(A, k10_subset_1(F, k4_finseq_1(A)), E), k6_vfunct_1(u1_struct_0(k14_prvect_2(A)), B, C, D)), k6_vfunct_1(u1_struct_0(k11_prvect_2(A, k10_subset_1(F, k4_finseq_1(A)))), B, k1_partfun1(u1_struct_0(k11_prvect_2(A, k10_subset_1(F, k4_finseq_1(A)))), u1_struct_0(k14_prvect_2(A)), u1_struct_0(k14_prvect_2(A)), u1_struct_0(B), k4_ndiff_5(A, k10_subset_1(F, k4_finseq_1(A)), E), C), k1_partfun1(u1_struct_0(k11_prvect_2(A, k10_subset_1(F, k4_finseq_1(A)))), u1_struct_0(k14_prvect_2(A)), u1_struct_0(k14_prvect_2(A)), u1_struct_0(B), k4_ndiff_5(A, k10_subset_1(F, k4_finseq_1(A)), E), D))) & r2_relset_1(u1_struct_0(k11_prvect_2(A, k10_subset_1(F, k4_finseq_1(A)))), u1_struct_0(B), k1_partfun1(u1_struct_0(k11_prvect_2(A, k10_subset_1(F, k4_finseq_1(A)))), u1_struct_0(k14_prvect_2(A)), u1_struct_0(k14_prvect_2(A)), u1_struct_0(B), k4_ndiff_5(A, k10_subset_1(F, k4_finseq_1(A)), E), k2_vfunct_1(u1_struct_0(k14_prvect_2(A)), B, C, D)), k2_vfunct_1(u1_struct_0(k11_prvect_2(A, k10_subset_1(F, k4_finseq_1(A)))), B, k1_partfun1(u1_struct_0(k11_prvect_2(A, k10_subset_1(F, k4_finseq_1(A)))), u1_struct_0(k14_prvect_2(A)), u1_struct_0(k14_prvect_2(A)), u1_struct_0(B), k4_ndiff_5(A, k10_subset_1(F, k4_finseq_1(A)), E), C), k1_partfun1(u1_struct_0(k11_prvect_2(A, k10_subset_1(F, k4_finseq_1(A)))), u1_struct_0(k14_prvect_2(A)), u1_struct_0(k14_prvect_2(A)), u1_struct_0(B), k4_ndiff_5(A, k10_subset_1(F, k4_finseq_1(A)), E), D)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_ndiff_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_finseq_1(B) & v2_prvect_2(B)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(B)), u1_struct_0(C)))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k14_prvect_2(B))) =>  (! [F] :  (r2_tarski(F, k4_finseq_1(B)) => r2_relset_1(u1_struct_0(k11_prvect_2(B, k10_subset_1(F, k4_finseq_1(B)))), u1_struct_0(C), k4_vfunct_1(u1_struct_0(k11_prvect_2(B, k10_subset_1(F, k4_finseq_1(B)))), C, k1_partfun1(u1_struct_0(k11_prvect_2(B, k10_subset_1(F, k4_finseq_1(B)))), u1_struct_0(k14_prvect_2(B)), u1_struct_0(k14_prvect_2(B)), u1_struct_0(C), k4_ndiff_5(B, k10_subset_1(F, k4_finseq_1(B)), E), D), A), k1_partfun1(u1_struct_0(k11_prvect_2(B, k10_subset_1(F, k4_finseq_1(B)))), u1_struct_0(k14_prvect_2(B)), u1_struct_0(k14_prvect_2(B)), u1_struct_0(C), k4_ndiff_5(B, k10_subset_1(F, k4_finseq_1(B)), E), k4_vfunct_1(u1_struct_0(k14_prvect_2(B)), C, D, A)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)), u1_struct_0(B)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)), u1_struct_0(B)))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k14_prvect_2(A))) =>  (! [F] :  ( (r2_tarski(F, k4_finseq_1(A)) &  (r1_ndiff_5(A, B, F, C, E) & r1_ndiff_5(A, B, F, D, E)) )  =>  (r1_ndiff_5(A, B, F, k6_vfunct_1(u1_struct_0(k14_prvect_2(A)), B, C, D), E) & k5_ndiff_5(A, B, F, k6_vfunct_1(u1_struct_0(k14_prvect_2(A)), B, C, D), E)=k3_rlvect_1(k16_lopban_1(k11_prvect_2(A, k10_subset_1(F, k4_finseq_1(A))), B), k5_ndiff_5(A, B, F, C, E), k5_ndiff_5(A, B, F, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)), u1_struct_0(B)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)), u1_struct_0(B)))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k14_prvect_2(A))) =>  (! [F] :  ( (r2_tarski(F, k4_finseq_1(A)) &  (r1_ndiff_5(A, B, F, C, E) & r1_ndiff_5(A, B, F, D, E)) )  =>  (r1_ndiff_5(A, B, F, k2_vfunct_1(u1_struct_0(k14_prvect_2(A)), B, C, D), E) & k5_ndiff_5(A, B, F, k2_vfunct_1(u1_struct_0(k14_prvect_2(A)), B, C, D), E)=k5_algstr_0(k16_lopban_1(k11_prvect_2(A, k10_subset_1(F, k4_finseq_1(A))), B), k5_ndiff_5(A, B, F, C, E), k5_ndiff_5(A, B, F, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_ndiff_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_finseq_1(B) & v2_prvect_2(B)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(B)), u1_struct_0(C)))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k14_prvect_2(B))) =>  (! [F] :  ( (r2_tarski(F, k4_finseq_1(B)) & r1_ndiff_5(B, C, F, D, E))  =>  (r1_ndiff_5(B, C, F, k4_vfunct_1(u1_struct_0(k14_prvect_2(B)), C, D, A), E) & k5_ndiff_5(B, C, F, k4_vfunct_1(u1_struct_0(k14_prvect_2(B)), C, D, A), E)=k1_rlvect_1(k16_lopban_1(k11_prvect_2(B, k10_subset_1(F, k4_finseq_1(B))), C), k5_ndiff_5(B, C, F, D, E), A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  (m2_subset_1(B, k4_ordinal1, k4_finseq_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_prvect_2(A))) => r1_xxreal_0(k2_normsp_0(k11_prvect_2(A, B), k3_funct_2(u1_struct_0(k14_prvect_2(A)), u1_struct_0(k11_prvect_2(A, B)), k3_ndiff_5(A, B), C)), k2_normsp_0(k14_prvect_2(A), C))) ) ) ) ) ) ).
fof(t32_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k14_prvect_2(A)))) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)), u1_struct_0(B)))))  =>  (v3_nfcont_1(D, k14_prvect_2(A)) =>  (r2_ndiff_5(A, B, C, E, D) <=>  (r1_tarski(D, k1_relset_1(u1_struct_0(k14_prvect_2(A)), E)) &  (! [F] :  (m1_subset_1(F, u1_struct_0(k14_prvect_2(A))) =>  (r2_tarski(F, D) => r1_ndiff_5(A, B, C, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  (m2_subset_1(B, k4_ordinal1, k4_finseq_1(A)) =>  (! [C] :  (m2_subset_1(C, k4_ordinal1, k4_finseq_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k11_prvect_2(A, B))) =>  (! [E] :  (m1_subset_1(E, k4_card_3(k4_prvect_2(A))) =>  (E=k3_funct_2(u1_struct_0(k11_prvect_2(A, B)), u1_struct_0(k14_prvect_2(A)), k4_ndiff_5(A, B, k4_struct_0(k14_prvect_2(A))), D) =>  ( (B=C => k1_ndiff_5(A, E, C)=D)  &  ( ~ (B=C)  => k1_ndiff_5(A, E, C)=k4_struct_0(k11_prvect_2(A, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  (m2_subset_1(B, k4_ordinal1, k4_finseq_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k11_prvect_2(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k11_prvect_2(A, B))) => k3_funct_2(u1_struct_0(k11_prvect_2(A, B)), u1_struct_0(k14_prvect_2(A)), k4_ndiff_5(A, B, k4_struct_0(k14_prvect_2(A))), k3_rlvect_1(k11_prvect_2(A, B), C, D))=k3_rlvect_1(k14_prvect_2(A), k3_funct_2(u1_struct_0(k11_prvect_2(A, B)), u1_struct_0(k14_prvect_2(A)), k4_ndiff_5(A, B, k4_struct_0(k14_prvect_2(A))), C), k3_funct_2(u1_struct_0(k11_prvect_2(A, B)), u1_struct_0(k14_prvect_2(A)), k4_ndiff_5(A, B, k4_struct_0(k14_prvect_2(A))), D))) ) ) ) ) ) ) ) ).
fof(t35_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  (m2_subset_1(B, k4_ordinal1, k4_finseq_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_prvect_2(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_prvect_2(A))) => k3_funct_2(u1_struct_0(k14_prvect_2(A)), u1_struct_0(k11_prvect_2(A, B)), k3_ndiff_5(A, B), k3_rlvect_1(k14_prvect_2(A), C, D))=k3_rlvect_1(k11_prvect_2(A, B), k3_funct_2(u1_struct_0(k14_prvect_2(A)), u1_struct_0(k11_prvect_2(A, B)), k3_ndiff_5(A, B), C), k3_funct_2(u1_struct_0(k14_prvect_2(A)), u1_struct_0(k11_prvect_2(A, B)), k3_ndiff_5(A, B), D))) ) ) ) ) ) ) ) ).
fof(t36_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  (m2_subset_1(B, k4_ordinal1, k4_finseq_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k11_prvect_2(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k11_prvect_2(A, B))) => k3_funct_2(u1_struct_0(k11_prvect_2(A, B)), u1_struct_0(k14_prvect_2(A)), k4_ndiff_5(A, B, k4_struct_0(k14_prvect_2(A))), k5_algstr_0(k11_prvect_2(A, B), C, D))=k5_algstr_0(k14_prvect_2(A), k3_funct_2(u1_struct_0(k11_prvect_2(A, B)), u1_struct_0(k14_prvect_2(A)), k4_ndiff_5(A, B, k4_struct_0(k14_prvect_2(A))), C), k3_funct_2(u1_struct_0(k11_prvect_2(A, B)), u1_struct_0(k14_prvect_2(A)), k4_ndiff_5(A, B, k4_struct_0(k14_prvect_2(A))), D))) ) ) ) ) ) ) ) ).
fof(t37_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  (m2_subset_1(B, k4_ordinal1, k4_finseq_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_prvect_2(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_prvect_2(A))) => k3_funct_2(u1_struct_0(k14_prvect_2(A)), u1_struct_0(k11_prvect_2(A, B)), k3_ndiff_5(A, B), k5_algstr_0(k14_prvect_2(A), C, D))=k5_algstr_0(k11_prvect_2(A, B), k3_funct_2(u1_struct_0(k14_prvect_2(A)), u1_struct_0(k11_prvect_2(A, B)), k3_ndiff_5(A, B), C), k3_funct_2(u1_struct_0(k14_prvect_2(A)), u1_struct_0(k11_prvect_2(A, B)), k3_ndiff_5(A, B), D))) ) ) ) ) ) ) ) ).
fof(t38_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  (m2_subset_1(B, k4_ordinal1, k4_finseq_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k11_prvect_2(A, B))) =>  ~ ( ( ~ (C=k4_struct_0(k11_prvect_2(A, B)))  & k3_funct_2(u1_struct_0(k11_prvect_2(A, B)), u1_struct_0(k14_prvect_2(A)), k4_ndiff_5(A, B, k4_struct_0(k14_prvect_2(A))), C)=k4_struct_0(k14_prvect_2(A))) ) ) ) ) ) ) ) ).
fof(t39_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  (m2_subset_1(B, k4_ordinal1, k4_finseq_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k11_prvect_2(A, B))) =>  (! [D] :  (v1_xreal_0(D) => k3_funct_2(u1_struct_0(k11_prvect_2(A, B)), u1_struct_0(k14_prvect_2(A)), k4_ndiff_5(A, B, k4_struct_0(k14_prvect_2(A))), k1_rlvect_1(k11_prvect_2(A, B), C, D))=k1_rlvect_1(k14_prvect_2(A), k3_funct_2(u1_struct_0(k11_prvect_2(A, B)), u1_struct_0(k14_prvect_2(A)), k4_ndiff_5(A, B, k4_struct_0(k14_prvect_2(A))), C), D)) ) ) ) ) ) ) ) ).
fof(t40_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  (m2_subset_1(B, k4_ordinal1, k4_finseq_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_prvect_2(A))) =>  (! [D] :  (v1_xreal_0(D) => k3_funct_2(u1_struct_0(k14_prvect_2(A)), u1_struct_0(k11_prvect_2(A, B)), k3_ndiff_5(A, B), k1_rlvect_1(k14_prvect_2(A), C, D))=k1_rlvect_1(k11_prvect_2(A, B), k3_funct_2(u1_struct_0(k14_prvect_2(A)), u1_struct_0(k11_prvect_2(A, B)), k3_ndiff_5(A, B), C), D)) ) ) ) ) ) ) ) ).
fof(t41_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_prvect_2(A))) =>  (! [E] :  (r1_ndiff_1(k14_prvect_2(A), B, C, D) =>  (r1_ndiff_5(A, B, E, C, D) & k5_ndiff_5(A, B, E, C, D)=k3_relat_1(k4_ndiff_5(A, k10_subset_1(E, k4_finseq_1(A)), k4_struct_0(k14_prvect_2(A))), k3_ndiff_1(k14_prvect_2(A), B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_ndiff_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  ( (k3_finseq_1(B)=k1_nat_1(k3_finseq_1(C), 1) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(C)) => k7_partfun1(u1_struct_0(A), C, D)=k5_algstr_0(A, k7_partfun1(u1_struct_0(A), B, D), k7_partfun1(u1_struct_0(A), B, k1_nat_1(D, 1)))) ) ) )  => k5_algstr_0(A, k7_partfun1(u1_struct_0(A), B, 1), k7_partfun1(u1_struct_0(A), B, k3_finseq_1(B)))=k4_rlvect_1(A, C)) ) ) ) ) ) ) ).
fof(t43_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_card_3(k4_prvect_2(A))) =>  (! [C] :  (m1_subset_1(C, k4_card_3(k4_prvect_2(A))) =>  (! [D] : m1_subset_1(k1_funct_4(B, k11_card_3(k4_prvect_2(A), C, D)), k4_card_3(k4_prvect_2(A)))) ) ) ) ) ) ) ).
fof(t44_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k14_prvect_2(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_prvect_2(A))) =>  (! [D] :  (m1_subset_1(D, k4_card_3(k4_prvect_2(A))) =>  (! [E] :  (m1_subset_1(E, k4_card_3(k4_prvect_2(A))) =>  (! [F] :  ( (D=k4_struct_0(k14_prvect_2(A)) &  (E=B & C=k1_funct_4(D, k11_card_3(k4_prvect_2(A), E, F))) )  => r1_xxreal_0(k2_normsp_0(k14_prvect_2(A), C), k2_normsp_0(k14_prvect_2(A), B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_prvect_2(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k14_prvect_2(A))) =>  (? [F] :  (m2_finseq_1(F, u1_struct_0(k14_prvect_2(A))) &  (? [G] :  (m2_finseq_1(G, u1_struct_0(B)) &  (? [H] :  (m1_subset_1(H, k4_card_3(k4_prvect_2(A))) &  (? [I] :  (m1_subset_1(I, k4_card_3(k4_prvect_2(A))) &  (I=E &  (H=k4_struct_0(k14_prvect_2(A)) &  (k3_finseq_1(F)=k1_nat_1(k3_finseq_1(A), 1) &  (k3_finseq_1(G)=k3_finseq_1(A) &  ( (! [J] :  (v7_ordinal1(J) =>  (r2_tarski(J, k4_finseq_1(F)) => k7_partfun1(u1_struct_0(k14_prvect_2(A)), F, J)=k1_funct_4(H, k11_card_3(k4_prvect_2(A), I, k2_finseq_1(k7_nat_d(k1_nat_1(k3_finseq_1(A), 1), J))))) ) )  &  ( (! [J] :  (v7_ordinal1(J) =>  (r2_tarski(J, k4_finseq_1(G)) => k7_partfun1(u1_struct_0(B), G, J)=k5_algstr_0(B, k7_partfun1(u1_struct_0(B), C, k3_rlvect_1(k14_prvect_2(A), D, k7_partfun1(u1_struct_0(k14_prvect_2(A)), F, J))), k7_partfun1(u1_struct_0(B), C, k3_rlvect_1(k14_prvect_2(A), D, k7_partfun1(u1_struct_0(k14_prvect_2(A)), F, k1_nat_1(J, 1)))))) ) )  &  ( (! [J] :  (v7_ordinal1(J) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(k14_prvect_2(A))) =>  ( (r2_tarski(J, k4_finseq_1(F)) & k7_partfun1(u1_struct_0(k14_prvect_2(A)), F, J)=K)  => r1_xxreal_0(k2_normsp_0(k14_prvect_2(A), K), k2_normsp_0(k14_prvect_2(A), E))) ) ) ) )  & k5_algstr_0(B, k7_partfun1(u1_struct_0(B), C, k3_rlvect_1(k14_prvect_2(A), D, E)), k7_partfun1(u1_struct_0(B), C, D))=k4_rlvect_1(B, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  (m2_subset_1(B, k4_ordinal1, k4_finseq_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_prvect_2(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_prvect_2(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k11_prvect_2(A, B))) =>  (D=k3_funct_2(u1_struct_0(k11_prvect_2(A, B)), u1_struct_0(k14_prvect_2(A)), k4_ndiff_5(A, B, C), E) => k3_funct_2(u1_struct_0(k14_prvect_2(A)), u1_struct_0(k11_prvect_2(A, B)), k3_ndiff_5(A, B), D)=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  (m2_subset_1(B, k4_ordinal1, k4_finseq_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_prvect_2(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k11_prvect_2(A, B))) =>  (D=k3_funct_2(u1_struct_0(k14_prvect_2(A)), u1_struct_0(k11_prvect_2(A, B)), k3_ndiff_5(A, B), C) => C=k3_funct_2(u1_struct_0(k11_prvect_2(A, B)), u1_struct_0(k14_prvect_2(A)), k4_ndiff_5(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t48_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  (m2_subset_1(B, k4_ordinal1, k4_finseq_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_prvect_2(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_prvect_2(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k11_prvect_2(A, B))) =>  (D=k3_funct_2(u1_struct_0(k11_prvect_2(A, B)), u1_struct_0(k14_prvect_2(A)), k4_ndiff_5(A, B, C), E) => r2_funct_2(u1_struct_0(k11_prvect_2(A, B)), u1_struct_0(k14_prvect_2(A)), k4_ndiff_5(A, B, C), k4_ndiff_5(A, B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  (m2_subset_1(B, k4_ordinal1, k4_finseq_1(A)) =>  (! [C] :  (m2_subset_1(C, k4_ordinal1, k4_finseq_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_prvect_2(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k14_prvect_2(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k11_prvect_2(A, B))) =>  (E=k3_funct_2(u1_struct_0(k11_prvect_2(A, B)), u1_struct_0(k14_prvect_2(A)), k4_ndiff_5(A, B, D), F) =>  (B=C | k3_funct_2(u1_struct_0(k14_prvect_2(A)), u1_struct_0(k11_prvect_2(A, C)), k3_ndiff_5(A, C), D)=k3_funct_2(u1_struct_0(k14_prvect_2(A)), u1_struct_0(k11_prvect_2(A, C)), k3_ndiff_5(A, C), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_subset_1(C, k4_ordinal1, k4_finseq_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_prvect_2(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k11_prvect_2(A, C))) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)), u1_struct_0(B)))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k11_prvect_2(A, C)), u1_struct_0(B)))))  =>  ( (k3_funct_2(u1_struct_0(k14_prvect_2(A)), u1_struct_0(k11_prvect_2(A, C)), k3_ndiff_5(A, C), D)=E & r2_relset_1(u1_struct_0(k11_prvect_2(A, C)), u1_struct_0(B), G, k1_partfun1(u1_struct_0(k11_prvect_2(A, C)), u1_struct_0(k14_prvect_2(A)), u1_struct_0(k14_prvect_2(A)), u1_struct_0(B), k4_ndiff_5(A, C, D), F)))  => k3_ndiff_1(k11_prvect_2(A, C), B, G, E)=k5_ndiff_5(A, B, C, F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_prvect_2(A))) =>  (! [E] :  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k16_lopban_1(k11_prvect_2(A, k10_subset_1(E, k4_finseq_1(A))), B))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k11_prvect_2(A, k10_subset_1(E, k4_finseq_1(A))))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k11_prvect_2(A, k10_subset_1(E, k4_finseq_1(A))))) =>  ( (r2_tarski(E, k4_finseq_1(A)) &  ( (! [J] :  (m1_subset_1(J, u1_struct_0(k11_prvect_2(A, k10_subset_1(E, k4_finseq_1(A))))) =>  (r2_tarski(J, k2_ndiff_5(k11_prvect_2(A, k10_subset_1(E, k4_finseq_1(A))), H, I)) => r1_xxreal_0(k2_normsp_0(k16_lopban_1(k11_prvect_2(A, k10_subset_1(E, k4_finseq_1(A))), B), k5_algstr_0(k16_lopban_1(k11_prvect_2(A, k10_subset_1(E, k4_finseq_1(A))), B), k5_ndiff_5(A, B, E, C, k3_funct_2(u1_struct_0(k11_prvect_2(A, k10_subset_1(E, k4_finseq_1(A)))), u1_struct_0(k14_prvect_2(A)), k4_ndiff_5(A, k10_subset_1(E, k4_finseq_1(A)), D), J)), G)), F)) ) )  &  ( (! [J] :  (m1_subset_1(J, u1_struct_0(k11_prvect_2(A, k10_subset_1(E, k4_finseq_1(A))))) =>  (r2_tarski(J, k1_rltopsp1(k11_prvect_2(A, k10_subset_1(E, k4_finseq_1(A))), H, I)) => r2_tarski(k3_funct_2(u1_struct_0(k11_prvect_2(A, k10_subset_1(E, k4_finseq_1(A)))), u1_struct_0(k14_prvect_2(A)), k4_ndiff_5(A, k10_subset_1(E, k4_finseq_1(A)), D), J), k1_relset_1(u1_struct_0(k14_prvect_2(A)), C))) ) )  &  (! [J] :  (m1_subset_1(J, u1_struct_0(k11_prvect_2(A, k10_subset_1(E, k4_finseq_1(A))))) =>  (r2_tarski(J, k1_rltopsp1(k11_prvect_2(A, k10_subset_1(E, k4_finseq_1(A))), H, I)) => r1_ndiff_5(A, B, E, C, k3_funct_2(u1_struct_0(k11_prvect_2(A, k10_subset_1(E, k4_finseq_1(A)))), u1_struct_0(k14_prvect_2(A)), k4_ndiff_5(A, k10_subset_1(E, k4_finseq_1(A)), D), J))) ) ) ) ) )  => r1_xxreal_0(k2_normsp_0(B, k5_algstr_0(B, k5_algstr_0(B, k7_partfun1(u1_struct_0(B), C, k3_funct_2(u1_struct_0(k11_prvect_2(A, k10_subset_1(E, k4_finseq_1(A)))), u1_struct_0(k14_prvect_2(A)), k4_ndiff_5(A, k10_subset_1(E, k4_finseq_1(A)), D), I)), k7_partfun1(u1_struct_0(B), C, k3_funct_2(u1_struct_0(k11_prvect_2(A, k10_subset_1(E, k4_finseq_1(A)))), u1_struct_0(k14_prvect_2(A)), k4_ndiff_5(A, k10_subset_1(E, k4_finseq_1(A)), D), H))), k17_lopban_1(k11_prvect_2(A, k10_subset_1(E, k4_finseq_1(A))), B, G, k5_algstr_0(k11_prvect_2(A, k10_subset_1(E, k4_finseq_1(A))), I, H)))), k3_xcmplx_0(F, k2_normsp_0(k11_prvect_2(A, k10_subset_1(E, k4_finseq_1(A))), k5_algstr_0(k11_prvect_2(A, k10_subset_1(E, k4_finseq_1(A))), I, H))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k14_prvect_2(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_prvect_2(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_prvect_2(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k14_prvect_2(A))) =>  (! [F] :  (m2_subset_1(F, k4_ordinal1, k4_finseq_1(A)) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k11_prvect_2(A, F))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k11_prvect_2(A, F))) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(k11_prvect_2(A, F))) =>  ~ ( ( ~ (r1_xxreal_0(G, k2_normsp_0(k14_prvect_2(A), k5_algstr_0(k14_prvect_2(A), C, B))))  &  ( ~ (r1_xxreal_0(G, k2_normsp_0(k14_prvect_2(A), k5_algstr_0(k14_prvect_2(A), D, B))))  &  (H=k3_funct_2(u1_struct_0(k14_prvect_2(A)), u1_struct_0(k11_prvect_2(A, F)), k3_ndiff_5(A, F), C) &  (D=k3_funct_2(u1_struct_0(k11_prvect_2(A, F)), u1_struct_0(k14_prvect_2(A)), k4_ndiff_5(A, F, C), I) &  (r2_tarski(J, k1_rltopsp1(k11_prvect_2(A, F), H, I)) &  (E=k3_funct_2(u1_struct_0(k11_prvect_2(A, F)), u1_struct_0(k14_prvect_2(A)), k4_ndiff_5(A, F, C), J) & r1_xxreal_0(G, k2_normsp_0(k14_prvect_2(A), k5_algstr_0(k14_prvect_2(A), E, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k14_prvect_2(A)))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k14_prvect_2(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k14_prvect_2(A))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k14_prvect_2(A))) =>  (! [H] :  (! [I] :  (m1_subset_1(I, u1_struct_0(k11_prvect_2(A, k10_subset_1(H, k4_finseq_1(A))))) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(k11_prvect_2(A, k10_subset_1(H, k4_finseq_1(A))))) =>  (! [K] :  (v1_xreal_0(K) =>  (! [L] :  (v1_xreal_0(L) =>  ( (r2_tarski(H, k4_finseq_1(A)) &  (v3_nfcont_1(D, k14_prvect_2(A)) &  (r2_tarski(E, D) &  (r1_tarski(D, k1_relset_1(u1_struct_0(k14_prvect_2(A)), C)) &  ( (! [M] :  (m1_subset_1(M, u1_struct_0(k14_prvect_2(A))) =>  (r2_tarski(M, D) => r1_ndiff_5(A, B, H, C, M)) ) )  &  ( (! [M] :  (m1_subset_1(M, u1_struct_0(k14_prvect_2(A))) =>  ( ~ (r1_xxreal_0(K, k2_normsp_0(k14_prvect_2(A), k5_algstr_0(k14_prvect_2(A), M, E))))  => r2_tarski(M, D)) ) )  &  ( (! [M] :  (m1_subset_1(M, u1_struct_0(k14_prvect_2(A))) =>  ( ~ (r1_xxreal_0(K, k2_normsp_0(k14_prvect_2(A), k5_algstr_0(k14_prvect_2(A), M, E))))  => r1_xxreal_0(k2_normsp_0(k16_lopban_1(k11_prvect_2(A, k10_subset_1(H, k4_finseq_1(A))), B), k5_algstr_0(k16_lopban_1(k11_prvect_2(A, k10_subset_1(H, k4_finseq_1(A))), B), k5_ndiff_5(A, B, H, C, M), k5_ndiff_5(A, B, H, C, E))), L)) ) )  &  (G=k3_funct_2(u1_struct_0(k11_prvect_2(A, k10_subset_1(H, k4_finseq_1(A)))), u1_struct_0(k14_prvect_2(A)), k4_ndiff_5(A, k10_subset_1(H, k4_finseq_1(A)), F), I) & J=k3_funct_2(u1_struct_0(k14_prvect_2(A)), u1_struct_0(k11_prvect_2(A, k10_subset_1(H, k4_finseq_1(A)))), k3_ndiff_5(A, k10_subset_1(H, k4_finseq_1(A))), F)) ) ) ) ) ) ) )  =>  (r1_xxreal_0(K, k2_normsp_0(k14_prvect_2(A), k5_algstr_0(k14_prvect_2(A), F, E))) |  (r1_xxreal_0(K, k2_normsp_0(k14_prvect_2(A), k5_algstr_0(k14_prvect_2(A), G, E))) | r1_xxreal_0(k2_normsp_0(B, k5_algstr_0(B, k5_algstr_0(B, k7_partfun1(u1_struct_0(B), C, G), k7_partfun1(u1_struct_0(B), C, F)), k17_lopban_1(k11_prvect_2(A, k10_subset_1(H, k4_finseq_1(A))), B, k5_ndiff_5(A, B, H, C, E), k5_algstr_0(k11_prvect_2(A, k10_subset_1(H, k4_finseq_1(A))), I, J)))), k3_xcmplx_0(k2_normsp_0(k11_prvect_2(A, k10_subset_1(H, k4_finseq_1(A))), k5_algstr_0(k11_prvect_2(A, k10_subset_1(H, k4_finseq_1(A))), I, J)), L))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k14_prvect_2(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_prvect_2(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_prvect_2(A))) =>  (! [E] :  (m1_subset_1(E, k4_card_3(k4_prvect_2(A))) =>  (! [F] :  (m1_subset_1(F, k4_card_3(k4_prvect_2(A))) =>  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  ( (C=E &  (F=k4_struct_0(k14_prvect_2(A)) &  (k3_finseq_1(B)=k1_nat_1(k3_finseq_1(A), 1) &  (r1_xxreal_0(1, G) &  (r1_xxreal_0(G, k3_finseq_1(A)) &  (! [H] :  (v7_ordinal1(H) =>  (r2_tarski(H, k4_finseq_1(B)) => k7_partfun1(u1_struct_0(k14_prvect_2(A)), B, H)=k1_funct_4(F, k11_card_3(k4_prvect_2(A), E, k2_finseq_1(k7_nat_d(k1_nat_1(k3_finseq_1(A), 1), H))))) ) ) ) ) ) ) )  => k3_rlvect_1(k14_prvect_2(A), D, k7_partfun1(u1_struct_0(k14_prvect_2(A)), B, G))=k3_funct_2(u1_struct_0(k11_prvect_2(A, k10_subset_1(k7_nat_d(k1_nat_1(k3_finseq_1(A), 1), G), k4_finseq_1(A)))), u1_struct_0(k14_prvect_2(A)), k4_ndiff_5(A, k10_subset_1(k7_nat_d(k1_nat_1(k3_finseq_1(A), 1), G), k4_finseq_1(A)), k3_rlvect_1(k14_prvect_2(A), D, k7_partfun1(u1_struct_0(k14_prvect_2(A)), B, k1_nat_1(G, 1)))), k3_funct_2(u1_struct_0(k14_prvect_2(A)), u1_struct_0(k11_prvect_2(A, k10_subset_1(k7_nat_d(k1_nat_1(k3_finseq_1(A), 1), G), k4_finseq_1(A)))), k3_ndiff_5(A, k10_subset_1(k7_nat_d(k1_nat_1(k3_finseq_1(A), 1), G), k4_finseq_1(A))), k3_rlvect_1(k14_prvect_2(A), D, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k14_prvect_2(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_prvect_2(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_prvect_2(A))) =>  (! [E] :  (m1_subset_1(E, k4_card_3(k4_prvect_2(A))) =>  (! [F] :  (m1_subset_1(F, k4_card_3(k4_prvect_2(A))) =>  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  ( (C=E &  (F=k4_struct_0(k14_prvect_2(A)) &  (k3_finseq_1(B)=k1_nat_1(k3_finseq_1(A), 1) &  (r1_xxreal_0(1, G) &  (r1_xxreal_0(G, k3_finseq_1(A)) &  (! [H] :  (v7_ordinal1(H) =>  (r2_tarski(H, k4_finseq_1(B)) => k7_partfun1(u1_struct_0(k14_prvect_2(A)), B, H)=k1_funct_4(F, k11_card_3(k4_prvect_2(A), E, k2_finseq_1(k7_nat_d(k1_nat_1(k3_finseq_1(A), 1), H))))) ) ) ) ) ) ) )  => k5_algstr_0(k11_prvect_2(A, k10_subset_1(k7_nat_d(k1_nat_1(k3_finseq_1(A), 1), G), k4_finseq_1(A))), k3_funct_2(u1_struct_0(k14_prvect_2(A)), u1_struct_0(k11_prvect_2(A, k10_subset_1(k7_nat_d(k1_nat_1(k3_finseq_1(A), 1), G), k4_finseq_1(A)))), k3_ndiff_5(A, k10_subset_1(k7_nat_d(k1_nat_1(k3_finseq_1(A), 1), G), k4_finseq_1(A))), k3_rlvect_1(k14_prvect_2(A), D, C)), k3_funct_2(u1_struct_0(k14_prvect_2(A)), u1_struct_0(k11_prvect_2(A, k10_subset_1(k7_nat_d(k1_nat_1(k3_finseq_1(A), 1), G), k4_finseq_1(A)))), k3_ndiff_5(A, k10_subset_1(k7_nat_d(k1_nat_1(k3_finseq_1(A), 1), G), k4_finseq_1(A))), k3_rlvect_1(k14_prvect_2(A), D, k7_partfun1(u1_struct_0(k14_prvect_2(A)), B, k1_nat_1(G, 1)))))=k3_funct_2(u1_struct_0(k14_prvect_2(A)), u1_struct_0(k11_prvect_2(A, k10_subset_1(k7_nat_d(k1_nat_1(k3_finseq_1(A), 1), G), k4_finseq_1(A)))), k3_ndiff_5(A, k10_subset_1(k7_nat_d(k1_nat_1(k3_finseq_1(A), 1), G), k4_finseq_1(A))), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k14_prvect_2(A)))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k14_prvect_2(A))) =>  ( (v3_nfcont_1(D, k14_prvect_2(A)) &  (r2_tarski(E, D) &  (! [F] :  (r2_tarski(F, k4_finseq_1(A)) =>  (r2_ndiff_5(A, B, F, C, D) & r3_nfcont_1(k14_prvect_2(A), k16_lopban_1(k11_prvect_2(A, k10_subset_1(F, k4_finseq_1(A))), B), k6_ndiff_5(A, B, F, C, D), D)) ) ) ) )  =>  (r1_ndiff_1(k14_prvect_2(A), B, C, E) &  (! [F] :  (m1_subset_1(F, u1_struct_0(k14_prvect_2(A))) =>  (? [G] :  (m2_finseq_1(G, u1_struct_0(B)) &  (k4_finseq_1(G)=k4_finseq_1(A) &  ( (! [H] :  (r2_tarski(H, k4_finseq_1(A)) => k1_funct_1(G, H)=k17_lopban_1(k11_prvect_2(A, k10_subset_1(H, k4_finseq_1(A))), B, k5_ndiff_5(A, B, H, C, E), k3_funct_2(u1_struct_0(k14_prvect_2(A)), u1_struct_0(k11_prvect_2(A, k10_subset_1(H, k4_finseq_1(A)))), k3_ndiff_5(A, k10_subset_1(H, k4_finseq_1(A))), F))) )  & k17_lopban_1(k14_prvect_2(A), B, k3_ndiff_1(k14_prvect_2(A), B, C, E), F)=k4_rlvect_1(B, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_ndiff_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k14_prvect_2(A)))) =>  (v3_nfcont_1(D, k14_prvect_2(A)) =>  ( (! [E] :  (r2_tarski(E, k4_finseq_1(A)) =>  (r2_ndiff_5(A, B, E, C, D) & r3_nfcont_1(k14_prvect_2(A), k16_lopban_1(k11_prvect_2(A, k10_subset_1(E, k4_finseq_1(A))), B), k6_ndiff_5(A, B, E, C, D), D)) ) )  <=>  (r2_ndiff_1(D, k14_prvect_2(A), B, C) & r3_nfcont_1(k14_prvect_2(A), k16_lopban_1(k14_prvect_2(A), B), k4_ndiff_1(k14_prvect_2(A), B, C, D), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_ndiff_5, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_prvect_2(A)) ) ) )  &  (m1_subset_1(B, k4_card_3(k4_prvect_2(A))) & m1_subset_1(C, k4_finseq_1(A))) )  => m1_subset_1(k1_ndiff_5(A, B, C), u1_struct_0(k3_prvect_2(A, C)))) ) ).
fof(redefinition_k1_ndiff_5, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_prvect_2(A)) ) ) )  &  (m1_subset_1(B, k4_card_3(k4_prvect_2(A))) & m1_subset_1(C, k4_finseq_1(A))) )  => k1_ndiff_5(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k2_ndiff_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k2_ndiff_5(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k3_ndiff_5, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  & m1_subset_1(B, k4_finseq_1(A)))  =>  (v1_funct_1(k3_ndiff_5(A, B)) &  (v1_funct_2(k3_ndiff_5(A, B), u1_struct_0(k14_prvect_2(A)), u1_struct_0(k11_prvect_2(A, B))) & m1_subset_1(k3_ndiff_5(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)), u1_struct_0(k11_prvect_2(A, B)))))) ) ) ) ).
fof(dt_k4_ndiff_5, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  &  (m1_subset_1(B, k4_finseq_1(A)) & m1_subset_1(C, u1_struct_0(k14_prvect_2(A)))) )  =>  (v1_funct_1(k4_ndiff_5(A, B, C)) &  (v1_funct_2(k4_ndiff_5(A, B, C), u1_struct_0(k11_prvect_2(A, B)), u1_struct_0(k14_prvect_2(A))) & m1_subset_1(k4_ndiff_5(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k11_prvect_2(A, B)), u1_struct_0(k14_prvect_2(A)))))) ) ) ) ).
fof(dt_k5_ndiff_5, axiom,  (! [A, B, C, D, E] :  ( ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)), u1_struct_0(B)))))  & m1_subset_1(E, u1_struct_0(k14_prvect_2(A)))) ) )  => m1_subset_1(k5_ndiff_5(A, B, C, D, E), u1_struct_0(k16_lopban_1(k11_prvect_2(A, k10_subset_1(C, k4_finseq_1(A))), B)))) ) ).
fof(dt_k6_ndiff_5, axiom,  (! [A, B, C, D, E] :  ( ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)), u1_struct_0(B))))) ) )  =>  (v1_funct_1(k6_ndiff_5(A, B, C, D, E)) & m1_subset_1(k6_ndiff_5(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)), u1_struct_0(k16_lopban_1(k11_prvect_2(A, k10_subset_1(C, k4_finseq_1(A))), B)))))) ) ) ).
fof(t16_ndiff_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (B=C)  => k2_ndiff_5(A, B, C)=a_3_0_ndiff_5(A, B, C)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_ndiff_5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_0_ndiff_5(B, C, D)) <=>  (? [E] :  (v1_xreal_0(E) &  (A=k3_rlvect_1(B, C, k1_rlvect_1(B, k5_algstr_0(B, D, C), E)) &  ( ~ (r1_xxreal_0(E, k5_numbers))  &  ~ (r1_xxreal_0(1, E)) ) ) ) ) ) ) ) ).
fof(t1_ndiff_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k9_funct_2(A, k9_funct_2(B, C)), k9_funct_2(k2_zfmisc_1(A, B), C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, k9_funct_2(B, C)), k9_funct_2(k2_zfmisc_1(A, B), C))))) )  &  (v3_funct_2(D, k9_funct_2(A, k9_funct_2(B, C)), k9_funct_2(k2_zfmisc_1(A, B), C)) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k9_funct_2(B, C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k9_funct_2(B, C))))) )  =>  (! [F] :  (! [G] :  ( (r2_hidden(F, A) & r2_hidden(G, B))  => k1_binop_1(k1_funct_1(D, E), F, G)=k1_funct_1(k1_funct_1(E, F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_ndiff_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k9_funct_2(A, k9_funct_2(B, C)), k9_funct_2(k2_zfmisc_1(B, A), C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, k9_funct_2(B, C)), k9_funct_2(k2_zfmisc_1(B, A), C))))) )  &  (v3_funct_2(D, k9_funct_2(A, k9_funct_2(B, C)), k9_funct_2(k2_zfmisc_1(B, A), C)) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k9_funct_2(B, C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k9_funct_2(B, C))))) )  =>  (! [F] :  (! [G] :  ( (r2_hidden(F, B) & r2_hidden(G, A))  => k1_binop_1(k1_funct_1(D, E), F, G)=k1_funct_1(k1_funct_1(E, G), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_ndiff_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) )  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k9_funct_2(k4_card_3(A), k9_funct_2(k4_card_3(B), C)), k9_funct_2(k4_card_3(k7_finseq_1(B, A)), C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(k4_card_3(A), k9_funct_2(k4_card_3(B), C)), k9_funct_2(k4_card_3(k7_finseq_1(B, A)), C))))) )  &  (v3_funct_2(D, k9_funct_2(k4_card_3(A), k9_funct_2(k4_card_3(B), C)), k9_funct_2(k4_card_3(k7_finseq_1(B, A)), C)) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_card_3(A), k9_funct_2(k4_card_3(B), C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_card_3(A), k9_funct_2(k4_card_3(B), C))))) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) )  =>  (! [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) & v1_finseq_1(G)) )  =>  ( (r2_tarski(F, k4_card_3(B)) & r2_tarski(G, k4_card_3(A)))  => k1_funct_1(k1_funct_1(D, E), k7_finseq_1(F, G))=k1_funct_1(k1_funct_1(E, G), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_ndiff_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k2_zfmisc_1(A, k4_card_3(k9_finseq_1(B)))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k2_zfmisc_1(A, k4_card_3(k9_finseq_1(B))))))) )  &  (v3_funct_2(C, k2_zfmisc_1(A, B), k2_zfmisc_1(A, k4_card_3(k9_finseq_1(B)))) &  (! [D] :  (! [E] :  ( (r2_hidden(D, A) & r2_hidden(E, B))  => k1_binop_1(C, D, E)=k4_tarski(D, k9_finseq_1(E))) ) ) ) ) ) ) ) ) ) ).
fof(t5_ndiff_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k4_card_3(A), B), k4_card_3(k7_finseq_1(A, k9_finseq_1(B)))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_card_3(A), B), k4_card_3(k7_finseq_1(A, k9_finseq_1(B))))))) )  &  (v3_funct_2(C, k2_zfmisc_1(k4_card_3(A), B), k4_card_3(k7_finseq_1(A, k9_finseq_1(B)))) &  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (! [E] :  ( (r2_tarski(D, k4_card_3(A)) & r2_hidden(E, B))  => k1_binop_1(C, D, E)=k7_finseq_1(D, k9_finseq_1(E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_ndiff_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) )  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k9_funct_2(A, k9_funct_2(k4_card_3(B), C)), k9_funct_2(k4_card_3(k7_finseq_1(B, k9_finseq_1(A))), C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, k9_funct_2(k4_card_3(B), C)), k9_funct_2(k4_card_3(k7_finseq_1(B, k9_finseq_1(A))), C))))) )  &  (v3_funct_2(D, k9_funct_2(A, k9_funct_2(k4_card_3(B), C)), k9_funct_2(k4_card_3(k7_finseq_1(B, k9_finseq_1(A))), C)) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k9_funct_2(k4_card_3(B), C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k9_funct_2(k4_card_3(B), C))))) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) )  =>  (! [G] :  ( (r2_tarski(F, k4_card_3(B)) & r2_hidden(G, A))  => k1_funct_1(k1_funct_1(D, E), k7_finseq_1(F, k9_finseq_1(G)))=k1_funct_1(k1_funct_1(E, G), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_ndiff_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  => k1_ndiff_6(A)=A) ) ).
fof(d2_ndiff_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k2_ndiff_6(A, B) <=>  (k9_xtuple_0(C)=k4_ordinal1 &  (k1_funct_1(C, k5_numbers)=B &  (! [D] :  (v7_ordinal1(D) => k1_funct_1(C, k2_xcmplx_0(D, 1))=k16_lopban_1(A, k1_ndiff_6(k1_funct_1(C, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_ndiff_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (k1_funct_1(k2_ndiff_6(A, B), k5_numbers)=B &  (k1_funct_1(k2_ndiff_6(A, B), 1)=k16_lopban_1(A, B) & k1_funct_1(k2_ndiff_6(A, B), 2)=k16_lopban_1(A, k16_lopban_1(A, B))) ) ) ) ) ) ).
fof(t8_ndiff_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (v2_struct_0(k1_funct_1(k2_ndiff_6(A, B), C)))  &  (v13_algstr_0(k1_funct_1(k2_ndiff_6(A, B), C)) &  (v2_rlvect_1(k1_funct_1(k2_ndiff_6(A, B), C)) &  (v3_rlvect_1(k1_funct_1(k2_ndiff_6(A, B), C)) &  (v4_rlvect_1(k1_funct_1(k2_ndiff_6(A, B), C)) &  (v5_rlvect_1(k1_funct_1(k2_ndiff_6(A, B), C)) &  (v6_rlvect_1(k1_funct_1(k2_ndiff_6(A, B), C)) &  (v7_rlvect_1(k1_funct_1(k2_ndiff_6(A, B), C)) &  (v8_rlvect_1(k1_funct_1(k2_ndiff_6(A, B), C)) &  (v3_normsp_0(k1_funct_1(k2_ndiff_6(A, B), C)) &  (v4_normsp_0(k1_funct_1(k2_ndiff_6(A, B), C)) &  (v2_normsp_1(k1_funct_1(k2_ndiff_6(A, B), C)) & l1_normsp_1(k1_funct_1(k2_ndiff_6(A, B), C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_ndiff_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (? [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v5_rlvect_1(D) &  (v6_rlvect_1(D) &  (v7_rlvect_1(D) &  (v8_rlvect_1(D) &  (v3_normsp_0(D) &  (v4_normsp_0(D) &  (v2_normsp_1(D) & l1_normsp_1(D)) ) ) ) ) ) ) ) ) ) ) )  &  (D=k1_funct_1(k2_ndiff_6(A, B), C) & k1_funct_1(k2_ndiff_6(A, B), k2_xcmplx_0(C, 1))=k16_lopban_1(A, D)) ) ) ) ) ) ) ) ) ).
fof(d3_ndiff_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) => k3_ndiff_6(A, B, C)=k1_funct_1(k2_ndiff_6(A, B), C)) ) ) ) ) ) ).
fof(t10_ndiff_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) => k3_ndiff_6(A, B, k2_xcmplx_0(C, 1))=k16_lopban_1(A, k3_ndiff_6(A, B, C))) ) ) ) ) ) ).
fof(d4_ndiff_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  => k4_ndiff_6(A, B, C)=C) ) ) ) ) ) ).
fof(d5_ndiff_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (E=k5_ndiff_6(A, B, C, D) <=>  (k9_xtuple_0(E)=k4_ordinal1 &  (k1_funct_1(E, k5_numbers)=k2_partfun1(u1_struct_0(A), u1_struct_0(B), C, D) &  (! [F] :  (v7_ordinal1(F) => k1_funct_1(E, k2_xcmplx_0(F, 1))=k4_ndiff_1(A, k3_ndiff_6(A, B, F), k4_ndiff_6(A, k3_ndiff_6(A, B, F), k1_funct_1(E, F)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_ndiff_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (k1_funct_1(k5_ndiff_6(A, B, C, D), k5_numbers)=k2_partfun1(u1_struct_0(A), u1_struct_0(B), C, D) &  (k1_funct_1(k5_ndiff_6(A, B, C, D), 1)=k4_ndiff_1(A, B, k2_partfun1(u1_struct_0(A), u1_struct_0(B), C, D), D) & k1_funct_1(k5_ndiff_6(A, B, C, D), 2)=k4_ndiff_1(A, k16_lopban_1(A, B), k4_ndiff_1(A, B, k2_partfun1(u1_struct_0(A), u1_struct_0(B), C, D), D), D)) ) ) ) ) ) ) ) ) ) ).
fof(t12_ndiff_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (v7_ordinal1(E) =>  (v1_funct_1(k1_funct_1(k5_ndiff_6(A, B, C, D), E)) & m1_subset_1(k1_funct_1(k5_ndiff_6(A, B, C, D), E), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_ndiff_6(A, B, E)))))) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_ndiff_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (v7_ordinal1(E) => k6_ndiff_6(A, B, C, D, E)=k1_funct_1(k5_ndiff_6(A, B, C, D), E)) ) ) ) ) ) ) ) ) ) ).
fof(t13_ndiff_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (v7_ordinal1(E) => k6_ndiff_6(A, B, C, D, k2_xcmplx_0(E, 1))=k4_ndiff_1(A, k3_ndiff_6(A, B, E), k6_ndiff_6(A, B, C, D, E), D)) ) ) ) ) ) ) ) ) ) ).
fof(d7_ndiff_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (v7_ordinal1(E) =>  (r1_ndiff_6(A, B, C, D, E) <=>  (r1_tarski(D, k1_relset_1(u1_struct_0(A), C)) &  (! [F] :  (v7_ordinal1(F) =>  (r1_xxreal_0(F, k6_xcmplx_0(E, 1)) => r2_ndiff_1(D, A, k3_ndiff_6(A, B, F), k4_ndiff_6(A, k3_ndiff_6(A, B, F), k1_funct_1(k5_ndiff_6(A, B, C, D), F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_ndiff_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (v7_ordinal1(E) =>  (r1_ndiff_6(A, B, C, D, E) <=>  (r1_tarski(D, k1_relset_1(u1_struct_0(A), C)) &  (! [F] :  (v7_ordinal1(F) =>  (r1_xxreal_0(F, k6_xcmplx_0(E, 1)) => r2_ndiff_1(D, A, k3_ndiff_6(A, B, F), k6_ndiff_6(A, B, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_ndiff_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_ndiff_6(A, B, C, D, 1) <=>  (r1_tarski(D, k1_relset_1(u1_struct_0(A), C)) & r2_ndiff_1(D, A, B, k2_partfun1(u1_struct_0(A), u1_struct_0(B), C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t16_ndiff_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_ndiff_6(A, B, C, D, 2) <=>  (r1_tarski(D, k1_relset_1(u1_struct_0(A), C)) &  (r2_ndiff_1(D, A, B, k2_partfun1(u1_struct_0(A), u1_struct_0(B), C, D)) & r2_ndiff_1(D, A, k16_lopban_1(A, B), k4_ndiff_1(A, B, k2_partfun1(u1_struct_0(A), u1_struct_0(B), C, D), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_ndiff_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (v7_ordinal1(E) =>  (r1_ndiff_6(A, B, C, D, E) =>  (! [F] :  (v7_ordinal1(F) =>  (r1_xxreal_0(F, E) => r1_ndiff_6(A, B, C, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_ndiff_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (r1_xxreal_0(1, D) & r1_ndiff_6(A, B, E, C, D))  => v3_nfcont_1(C, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_ndiff_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (r1_xxreal_0(1, D) & r1_ndiff_6(A, B, E, C, D))  =>  (! [F] :  (v7_ordinal1(F) =>  (r1_xxreal_0(F, D) =>  ( ( ~ (v2_struct_0(k1_funct_1(k2_ndiff_6(A, B), F)))  &  (v13_algstr_0(k1_funct_1(k2_ndiff_6(A, B), F)) &  (v2_rlvect_1(k1_funct_1(k2_ndiff_6(A, B), F)) &  (v3_rlvect_1(k1_funct_1(k2_ndiff_6(A, B), F)) &  (v4_rlvect_1(k1_funct_1(k2_ndiff_6(A, B), F)) &  (v5_rlvect_1(k1_funct_1(k2_ndiff_6(A, B), F)) &  (v6_rlvect_1(k1_funct_1(k2_ndiff_6(A, B), F)) &  (v7_rlvect_1(k1_funct_1(k2_ndiff_6(A, B), F)) &  (v8_rlvect_1(k1_funct_1(k2_ndiff_6(A, B), F)) &  (v3_normsp_0(k1_funct_1(k2_ndiff_6(A, B), F)) &  (v4_normsp_0(k1_funct_1(k2_ndiff_6(A, B), F)) &  (v2_normsp_1(k1_funct_1(k2_ndiff_6(A, B), F)) & l1_normsp_1(k1_funct_1(k2_ndiff_6(A, B), F))) ) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(k1_funct_1(k5_ndiff_6(A, B, E, C), F)) & m1_subset_1(k1_funct_1(k5_ndiff_6(A, B, E, C), F), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_ndiff_6(A, B, F))))))  & k1_relset_1(u1_struct_0(A), k6_ndiff_6(A, B, E, C, F))=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_ndiff_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (r1_xxreal_0(1, D) &  (r1_ndiff_6(A, B, E, C, D) & r1_ndiff_6(A, B, F, C, D)) )  =>  (! [G] :  (v7_ordinal1(G) =>  (r1_xxreal_0(G, D) => r2_relset_1(u1_struct_0(A), u1_struct_0(k3_ndiff_6(A, B, G)), k6_ndiff_6(A, B, k6_vfunct_1(u1_struct_0(A), B, E, F), C, G), k6_vfunct_1(u1_struct_0(A), k3_ndiff_6(A, B, G), k6_ndiff_6(A, B, E, C, G), k6_ndiff_6(A, B, F, C, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_ndiff_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (r1_xxreal_0(1, D) &  (r1_ndiff_6(A, B, E, C, D) & r1_ndiff_6(A, B, F, C, D)) )  => r1_ndiff_6(A, B, k6_vfunct_1(u1_struct_0(A), B, E, F), C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_ndiff_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (r1_xxreal_0(1, D) &  (r1_ndiff_6(A, B, E, C, D) & r1_ndiff_6(A, B, F, C, D)) )  =>  (! [G] :  (v7_ordinal1(G) =>  (r1_xxreal_0(G, D) => r2_relset_1(u1_struct_0(A), u1_struct_0(k3_ndiff_6(A, B, G)), k6_ndiff_6(A, B, k2_vfunct_1(u1_struct_0(A), B, E, F), C, G), k2_vfunct_1(u1_struct_0(A), k3_ndiff_6(A, B, G), k6_ndiff_6(A, B, E, C, G), k6_ndiff_6(A, B, F, C, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_ndiff_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (r1_xxreal_0(1, D) &  (r1_ndiff_6(A, B, E, C, D) & r1_ndiff_6(A, B, F, C, D)) )  => r1_ndiff_6(A, B, k2_vfunct_1(u1_struct_0(A), B, E, F), C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_ndiff_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (r1_xxreal_0(1, D) & r1_ndiff_6(A, B, F, C, D))  =>  (! [G] :  (v7_ordinal1(G) =>  (r1_xxreal_0(G, D) => r2_relset_1(u1_struct_0(A), u1_struct_0(k3_ndiff_6(A, B, G)), k6_ndiff_6(A, B, k4_vfunct_1(u1_struct_0(A), B, F, E), C, G), k4_vfunct_1(u1_struct_0(A), k3_ndiff_6(A, B, G), k6_ndiff_6(A, B, F, C, G), E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_ndiff_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (r1_xxreal_0(1, D) & r1_ndiff_6(A, B, F, C, D))  => r1_ndiff_6(A, B, k4_vfunct_1(u1_struct_0(A), B, F, E), C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_ndiff_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (r1_xxreal_0(1, D) & r1_ndiff_6(A, B, E, C, D))  =>  (! [F] :  (v7_ordinal1(F) =>  (r1_xxreal_0(F, D) => r2_relset_1(u1_struct_0(A), u1_struct_0(k3_ndiff_6(A, B, F)), k6_ndiff_6(A, B, k5_vfunct_1(u1_struct_0(A), B, E), C, F), k5_vfunct_1(u1_struct_0(A), k3_ndiff_6(A, B, F), k6_ndiff_6(A, B, E, C, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_ndiff_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (r1_xxreal_0(1, D) & r1_ndiff_6(A, B, E, C, D))  => r1_ndiff_6(A, B, k5_vfunct_1(u1_struct_0(A), B, E), C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_ndiff_6, axiom,  (! [A] :  ( ~ (v2_struct_0(k1_ndiff_6(A)))  &  (v13_algstr_0(k1_ndiff_6(A)) &  (v2_rlvect_1(k1_ndiff_6(A)) &  (v3_rlvect_1(k1_ndiff_6(A)) &  (v4_rlvect_1(k1_ndiff_6(A)) &  (v5_rlvect_1(k1_ndiff_6(A)) &  (v6_rlvect_1(k1_ndiff_6(A)) &  (v7_rlvect_1(k1_ndiff_6(A)) &  (v8_rlvect_1(k1_ndiff_6(A)) &  (v3_normsp_0(k1_ndiff_6(A)) &  (v4_normsp_0(k1_ndiff_6(A)) &  (v2_normsp_1(k1_ndiff_6(A)) & l1_normsp_1(k1_ndiff_6(A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k2_ndiff_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_relat_1(k2_ndiff_6(A, B)) & v1_funct_1(k2_ndiff_6(A, B))) ) ) ).
fof(dt_k3_ndiff_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  & v7_ordinal1(C)) )  =>  ( ~ (v2_struct_0(k3_ndiff_6(A, B, C)))  &  (v13_algstr_0(k3_ndiff_6(A, B, C)) &  (v2_rlvect_1(k3_ndiff_6(A, B, C)) &  (v3_rlvect_1(k3_ndiff_6(A, B, C)) &  (v4_rlvect_1(k3_ndiff_6(A, B, C)) &  (v5_rlvect_1(k3_ndiff_6(A, B, C)) &  (v6_rlvect_1(k3_ndiff_6(A, B, C)) &  (v7_rlvect_1(k3_ndiff_6(A, B, C)) &  (v8_rlvect_1(k3_ndiff_6(A, B, C)) &  (v3_normsp_0(k3_ndiff_6(A, B, C)) &  (v4_normsp_0(k3_ndiff_6(A, B, C)) &  (v2_normsp_1(k3_ndiff_6(A, B, C)) & l1_normsp_1(k3_ndiff_6(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k4_ndiff_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k4_ndiff_6(A, B, C)) & m1_subset_1(k4_ndiff_6(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ).
fof(dt_k5_ndiff_6, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v1_relat_1(k5_ndiff_6(A, B, C, D)) & v1_funct_1(k5_ndiff_6(A, B, C, D))) ) ) ).
fof(dt_k6_ndiff_6, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  &  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) & v7_ordinal1(E)) ) ) )  =>  (v1_funct_1(k6_ndiff_6(A, B, C, D, E)) & m1_subset_1(k6_ndiff_6(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_ndiff_6(A, B, E)))))) ) ) ).
fof(fc1_ndiff_7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k3_ndiff_7(A, B)) &  (v2_funct_1(k3_ndiff_7(A, B)) &  (v1_funct_2(k3_ndiff_7(A, B), u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B)))) &  (v2_funct_2(k3_ndiff_7(A, B), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B)))) &  (v13_vectsp_1(k3_ndiff_7(A, B), k7_prvect_3(A, B), k14_prvect_2(k10_finseq_1(A, B))) &  (v1_lopban_1(k3_ndiff_7(A, B), k7_prvect_3(A, B), k14_prvect_2(k10_finseq_1(A, B))) & v1_mazurulm(k3_ndiff_7(A, B), k7_prvect_3(A, B), k14_prvect_2(k10_finseq_1(A, B)))) ) ) ) ) ) ) ) ).
fof(rc1_ndiff_7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B)))))) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(k7_prvect_3(A, B))) &  (v5_relat_1(C, u1_struct_0(k14_prvect_2(k10_finseq_1(A, B)))) &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) &  (v2_funct_1(C) &  (v1_partfun1(C, u1_struct_0(k7_prvect_3(A, B))) &  (v1_funct_2(C, u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B)))) &  (v2_funct_2(C, u1_struct_0(k14_prvect_2(k10_finseq_1(A, B)))) &  (v13_vectsp_1(C, k7_prvect_3(A, B), k14_prvect_2(k10_finseq_1(A, B))) &  (v1_lopban_1(C, k7_prvect_3(A, B), k14_prvect_2(k10_finseq_1(A, B))) & v1_mazurulm(C, k7_prvect_3(A, B), k14_prvect_2(k10_finseq_1(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc2_ndiff_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v2_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B)))) &  (v2_funct_2(C, u1_struct_0(k14_prvect_2(k10_finseq_1(A, B)))) &  (v13_vectsp_1(C, k7_prvect_3(A, B), k14_prvect_2(k10_finseq_1(A, B))) &  (v1_lopban_1(C, k7_prvect_3(A, B), k14_prvect_2(k10_finseq_1(A, B))) &  (v1_mazurulm(C, k7_prvect_3(A, B), k14_prvect_2(k10_finseq_1(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))))))) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k2_funct_1(C)) &  (v2_funct_1(k2_funct_1(C)) &  (v1_funct_2(k2_funct_1(C), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), u1_struct_0(k7_prvect_3(A, B))) &  (v2_funct_2(k2_funct_1(C), u1_struct_0(k7_prvect_3(A, B))) &  (v13_vectsp_1(k2_funct_1(C), k14_prvect_2(k10_finseq_1(A, B)), k7_prvect_3(A, B)) &  (v1_lopban_1(k2_funct_1(C), k14_prvect_2(k10_finseq_1(A, B)), k7_prvect_3(A, B)) & v1_mazurulm(k2_funct_1(C), k14_prvect_2(k10_finseq_1(A, B)), k7_prvect_3(A, B))) ) ) ) ) ) ) ) ).
fof(rc2_ndiff_7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), u1_struct_0(k7_prvect_3(A, B))))) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(k14_prvect_2(k10_finseq_1(A, B)))) &  (v5_relat_1(C, u1_struct_0(k7_prvect_3(A, B))) &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) &  (v2_funct_1(C) &  (v1_partfun1(C, u1_struct_0(k14_prvect_2(k10_finseq_1(A, B)))) &  (v1_funct_2(C, u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), u1_struct_0(k7_prvect_3(A, B))) &  (v2_funct_2(C, u1_struct_0(k7_prvect_3(A, B))) &  (v13_vectsp_1(C, k14_prvect_2(k10_finseq_1(A, B)), k7_prvect_3(A, B)) &  (v1_lopban_1(C, k14_prvect_2(k10_finseq_1(A, B)), k7_prvect_3(A, B)) & v1_mazurulm(C, k14_prvect_2(k10_finseq_1(A, B)), k7_prvect_3(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_ndiff_7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) =>  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & v1_mazurulm(C, A, B)) ) ) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & v2_lopban_1(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(t1_ndiff_7, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => k3_relat_1(B, k5_relat_1(C, A))=k5_relat_1(k3_relat_1(B, C), k8_relat_1(B, A))) ) ) ) ) ).
fof(t2_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k5_algstr_0(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D), k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, E))=k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k5_algstr_0(A, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t3_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (r2_relset_1(u1_struct_0(A), u1_struct_0(C), k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, k6_vfunct_1(u1_struct_0(B), C, E, F)), k6_vfunct_1(u1_struct_0(A), C, k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, F))) & r2_relset_1(u1_struct_0(A), u1_struct_0(C), k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, k2_vfunct_1(u1_struct_0(B), C, E, F)), k2_vfunct_1(u1_struct_0(A), C, k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (! [F] :  (v1_xreal_0(F) => r2_relset_1(u1_struct_0(A), u1_struct_0(C), k4_vfunct_1(u1_struct_0(A), C, k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), F), k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, k4_vfunct_1(u1_struct_0(B), C, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_tarski(F, k1_relset_1(u1_struct_0(A), E)) &  (r2_tarski(k10_funct_2(u1_struct_0(A), u1_struct_0(B), E, F), k1_relset_1(u1_struct_0(B), D)) &  (r1_nfcont_1(A, B, E, F) & r1_nfcont_1(B, C, D, k10_funct_2(u1_struct_0(A), u1_struct_0(B), E, F))) ) )  => r1_nfcont_1(A, C, k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), E, D), F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_prvect_3(A, B))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(k7_prvect_3(A, B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k7_prvect_3(A, B)))))) )  =>  (D=k1_ndiff_7(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(k7_prvect_3(A, B)), D, E)=k4_tarski(E, k2_xtuple_0(C))) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_prvect_3(A, B))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(k7_prvect_3(A, B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(k7_prvect_3(A, B)))))) )  =>  (D=k2_ndiff_7(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => k3_funct_2(u1_struct_0(B), u1_struct_0(k7_prvect_3(A, B)), D, E)=k4_tarski(k1_xtuple_0(C), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (v1_mazurulm(C, A, B) => r1_nfcont_1(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t7_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (v1_mazurulm(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_normsp_0(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D))=k2_normsp_0(A, D)) ) ) ) ) ) ) ) ) ).
fof(t8_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_mazurulm(C, A, B) => r3_nfcont_1(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t9_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  ~ ( (v2_funct_1(C) &  (v2_funct_2(C, u1_struct_0(B)) &  (v1_mazurulm(C, A, B) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) &  (v13_vectsp_1(D, B, A) &  (v1_lopban_1(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) ) )  =>  ~ ( (D=k2_funct_1(C) &  (v2_funct_1(D) &  (v2_funct_2(D, u1_struct_0(A)) & v1_mazurulm(D, B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v1_mazurulm(C, A, B) & v3_normsp_1(D, A))  =>  (v3_normsp_1(k1_partfun1(k4_ordinal1, u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), D, C), B) & k5_normsp_1(B, k1_partfun1(k4_ordinal1, u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), D, C))=k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k5_normsp_1(A, D))) ) ) ) ) ) ) ) ) ) ).
fof(t11_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v2_funct_1(C) &  (v2_funct_2(C, u1_struct_0(B)) & v1_mazurulm(C, A, B)) )  =>  (v3_normsp_1(D, A) <=> v3_normsp_1(k1_partfun1(k4_ordinal1, u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), D, C), B)) ) ) ) ) ) ) ) ) ) ).
fof(t12_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v2_funct_1(C) &  (v2_funct_2(C, u1_struct_0(B)) & v1_mazurulm(C, A, B)) )  =>  (v2_nfcont_1(D, A) <=> v2_nfcont_1(k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), B)) ) ) ) ) ) ) ) ) ) ).
fof(t13_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v2_funct_1(C) &  (v2_funct_2(C, u1_struct_0(B)) & v1_mazurulm(C, A, B)) )  =>  (v3_nfcont_1(D, A) <=> v3_nfcont_1(k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), B)) ) ) ) ) ) ) ) ) ) ).
fof(t14_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v2_funct_1(C) &  (v2_funct_2(C, u1_struct_0(B)) & v1_mazurulm(C, A, B)) )  =>  (v1_nfcont_1(D, A) <=> v1_nfcont_1(k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), B)) ) ) ) ) ) ) ) ) ) ).
fof(t15_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(E, A, B) &  (v1_lopban_1(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  ( (v2_funct_1(E) &  (v2_funct_2(E, u1_struct_0(B)) & v1_mazurulm(E, A, B)) )  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r2_tarski(k3_funct_2(u1_struct_0(A), u1_struct_0(B), E, F), k1_relset_1(u1_struct_0(B), D)) =>  (r1_nfcont_1(A, C, k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), E, D), F) <=> r1_nfcont_1(B, C, D, k3_funct_2(u1_struct_0(A), u1_struct_0(B), E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(E, A, B) &  (v1_lopban_1(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (! [F] :  ( (r1_tarski(F, u1_struct_0(B)) &  (v2_funct_1(E) &  (v2_funct_2(E, u1_struct_0(B)) & v1_mazurulm(E, A, B)) ) )  =>  (r3_nfcont_1(B, C, D, F) <=> r3_nfcont_1(A, C, k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), E, D), k8_relset_1(u1_struct_0(A), u1_struct_0(B), E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B)))) &  (v13_vectsp_1(C, k7_prvect_3(A, B), k14_prvect_2(k10_finseq_1(A, B))) &  (v1_lopban_1(C, k7_prvect_3(A, B), k14_prvect_2(k10_finseq_1(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))))))) ) ) )  =>  (C=k3_ndiff_7(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => k1_binop_1(C, D, E)=k10_finseq_1(D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  => k4_struct_0(k14_prvect_2(k10_finseq_1(A, B)))=k3_funct_2(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), k3_ndiff_7(A, B), k4_struct_0(k7_prvect_3(A, B)))) ) ) ) ).
fof(t18_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k1_funct_1(k4_ndiff_7(A, B, k3_ndiff_7(A, B)), k10_finseq_1(C, D))=k4_tarski(C, D)) ) ) ) ) ) ) ) ).
fof(t19_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  => k3_funct_2(u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), u1_struct_0(k7_prvect_3(A, B)), k4_ndiff_7(A, B, k3_ndiff_7(A, B)), k4_struct_0(k14_prvect_2(k10_finseq_1(A, B))))=k4_struct_0(k7_prvect_3(A, B))) ) ) ) ).
fof(t20_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)))) => r3_nfcont_1(k7_prvect_3(A, B), k14_prvect_2(k10_finseq_1(A, B)), k3_ndiff_7(A, B), C)) ) ) ) ) ) ).
fof(t21_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))))) => r3_nfcont_1(k14_prvect_2(k10_finseq_1(A, B)), k7_prvect_3(A, B), k4_ndiff_7(A, B, k3_ndiff_7(A, B)), C)) ) ) ) ) ) ).
fof(t22_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k16_lopban_1(A, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k16_lopban_1(B, C))) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(F, A, B) &  (v1_lopban_1(F, A, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  ( (v2_funct_1(F) &  (v2_funct_2(F, u1_struct_0(B)) &  (v1_mazurulm(F, A, B) & D=k3_relat_1(F, E)) ) )  => k2_normsp_0(k16_lopban_1(A, C), D)=k2_normsp_0(k16_lopban_1(B, C), E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_ndiff_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)), u1_struct_0(B)))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)), u1_struct_0(B)))))  =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k14_prvect_2(A)))) =>  ( (v3_nfcont_1(F, k14_prvect_2(A)) &  (r2_tarski(C, k4_finseq_1(A)) &  (r2_ndiff_5(A, B, C, D, F) & r2_ndiff_5(A, B, C, E, F)) ) )  =>  (r2_ndiff_5(A, B, C, k6_vfunct_1(u1_struct_0(k14_prvect_2(A)), B, D, E), F) & r2_relset_1(u1_struct_0(k14_prvect_2(A)), u1_struct_0(k16_lopban_1(k11_prvect_2(A, k10_subset_1(C, k4_finseq_1(A))), B)), k6_ndiff_5(A, B, C, k6_vfunct_1(u1_struct_0(k14_prvect_2(A)), B, D, E), F), k6_vfunct_1(u1_struct_0(k14_prvect_2(A)), k16_lopban_1(k11_prvect_2(A, k10_subset_1(C, k4_finseq_1(A))), B), k6_ndiff_5(A, B, C, D, F), k6_ndiff_5(A, B, C, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_ndiff_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)), u1_struct_0(B)))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)), u1_struct_0(B)))))  =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k14_prvect_2(A)))) =>  ( (v3_nfcont_1(F, k14_prvect_2(A)) &  (r2_tarski(C, k4_finseq_1(A)) &  (r2_ndiff_5(A, B, C, D, F) & r2_ndiff_5(A, B, C, E, F)) ) )  =>  (r2_ndiff_5(A, B, C, k2_vfunct_1(u1_struct_0(k14_prvect_2(A)), B, D, E), F) & r2_relset_1(u1_struct_0(k14_prvect_2(A)), u1_struct_0(k16_lopban_1(k11_prvect_2(A, k10_subset_1(C, k4_finseq_1(A))), B)), k6_ndiff_5(A, B, C, k2_vfunct_1(u1_struct_0(k14_prvect_2(A)), B, D, E), F), k2_vfunct_1(u1_struct_0(k14_prvect_2(A)), k16_lopban_1(k11_prvect_2(A, k10_subset_1(C, k4_finseq_1(A))), B), k6_ndiff_5(A, B, C, D, F), k6_ndiff_5(A, B, C, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_ndiff_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)), u1_struct_0(B)))))  =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k14_prvect_2(A)))) =>  ( (v3_nfcont_1(F, k14_prvect_2(A)) &  (r2_tarski(C, k4_finseq_1(A)) & r2_ndiff_5(A, B, C, D, F)) )  =>  (r2_ndiff_5(A, B, C, k4_vfunct_1(u1_struct_0(k14_prvect_2(A)), B, D, E), F) & r2_relset_1(u1_struct_0(k14_prvect_2(A)), u1_struct_0(k16_lopban_1(k11_prvect_2(A, k10_subset_1(C, k4_finseq_1(A))), B)), k6_ndiff_5(A, B, C, k4_vfunct_1(u1_struct_0(k14_prvect_2(A)), B, D, E), F), k4_vfunct_1(u1_struct_0(k14_prvect_2(A)), k16_lopban_1(k11_prvect_2(A, k10_subset_1(C, k4_finseq_1(A))), B), k6_ndiff_5(A, B, C, D, F), E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) &  (v2_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_ndiff_1(A, B, C, D) & k3_ndiff_1(A, B, C, D)=C) ) ) ) ) ) ) ) ) ).
fof(t27_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(E, A, B) &  (v1_lopban_1(E, A, B) &  (v2_lopban_1(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k16_lopban_1(A, B))) =>  (F=E =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r1_ndiff_1(B, C, D, k3_funct_2(u1_struct_0(A), u1_struct_0(B), E, G)) =>  (r1_ndiff_1(A, C, k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), E, D), G) & k3_ndiff_1(A, C, k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), E, D), G)=k2_ndiff_2(A, B, C, F, k3_ndiff_1(B, C, D, k3_funct_2(u1_struct_0(A), u1_struct_0(B), E, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(E, A, B) &  (v1_lopban_1(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  ( (v2_funct_1(E) &  (v2_funct_2(E, u1_struct_0(B)) & v1_mazurulm(E, A, B)) )  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r1_ndiff_1(A, C, k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), E, D), F) <=> r1_ndiff_1(B, C, D, k3_funct_2(u1_struct_0(A), u1_struct_0(B), E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(E, A, B) &  (v1_lopban_1(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (! [F] :  ( (r1_tarski(F, u1_struct_0(B)) &  (v2_funct_1(E) &  (v2_funct_2(E, u1_struct_0(B)) & v1_mazurulm(E, A, B)) ) )  =>  (r2_ndiff_1(F, B, C, D) <=> r2_ndiff_1(k8_relset_1(u1_struct_0(A), u1_struct_0(B), E, F), A, C, k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), E, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(k10_finseq_1(B, C))), u1_struct_0(A)))))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k14_prvect_2(k10_finseq_1(B, C))))) =>  (r2_ndiff_1(E, k14_prvect_2(k10_finseq_1(B, C)), A, D) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k14_prvect_2(k10_finseq_1(B, C)))) =>  (r2_tarski(F, k1_relset_1(u1_struct_0(k14_prvect_2(k10_finseq_1(B, C))), k4_ndiff_1(k14_prvect_2(k10_finseq_1(B, C)), A, D, E))) => k1_funct_1(k4_ndiff_1(k14_prvect_2(k10_finseq_1(B, C)), A, D, E), F)=k3_relat_1(k4_ndiff_7(B, C, k3_ndiff_7(B, C)), k7_partfun1(u1_struct_0(k16_lopban_1(k7_prvect_3(B, C), A)), k4_ndiff_1(k7_prvect_3(B, C), A, k1_partfun1(u1_struct_0(k7_prvect_3(B, C)), u1_struct_0(k14_prvect_2(k10_finseq_1(B, C))), u1_struct_0(k14_prvect_2(k10_finseq_1(B, C))), u1_struct_0(A), k3_ndiff_7(B, C), D), k8_relset_1(u1_struct_0(k7_prvect_3(B, C)), u1_struct_0(k14_prvect_2(k10_finseq_1(B, C))), k3_ndiff_7(B, C), E)), k3_funct_2(u1_struct_0(k14_prvect_2(k10_finseq_1(B, C))), u1_struct_0(k7_prvect_3(B, C)), k4_ndiff_7(B, C, k3_ndiff_7(B, C)), F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(B, C)), u1_struct_0(A)))))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k7_prvect_3(B, C)))) =>  (r2_ndiff_1(E, k7_prvect_3(B, C), A, D) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k7_prvect_3(B, C))) =>  (r2_tarski(F, k1_relset_1(u1_struct_0(k7_prvect_3(B, C)), k4_ndiff_1(k7_prvect_3(B, C), A, D, E))) => k1_funct_1(k4_ndiff_1(k7_prvect_3(B, C), A, D, E), F)=k3_relat_1(k2_funct_1(k4_ndiff_7(B, C, k3_ndiff_7(B, C))), k7_partfun1(u1_struct_0(k16_lopban_1(k14_prvect_2(k10_finseq_1(B, C)), A)), k4_ndiff_1(k14_prvect_2(k10_finseq_1(B, C)), A, k1_partfun1(u1_struct_0(k14_prvect_2(k10_finseq_1(B, C))), u1_struct_0(k7_prvect_3(B, C)), u1_struct_0(k7_prvect_3(B, C)), u1_struct_0(A), k4_ndiff_7(B, C, k3_ndiff_7(B, C)), D), k8_relset_1(u1_struct_0(k14_prvect_2(k10_finseq_1(B, C))), u1_struct_0(k7_prvect_3(B, C)), k4_ndiff_7(B, C, k3_ndiff_7(B, C)), E)), k3_funct_2(u1_struct_0(k7_prvect_3(B, C)), u1_struct_0(k14_prvect_2(k10_finseq_1(B, C))), k3_ndiff_7(B, C), F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_prvect_3(A, B))) =>  (r1_funct_2(u1_struct_0(A), u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k11_prvect_2(k10_finseq_1(A, B), k10_subset_1(1, k4_finseq_1(k10_finseq_1(A, B))))), u1_struct_0(k7_prvect_3(A, B)), k1_ndiff_7(A, B, C), k1_partfun1(u1_struct_0(k11_prvect_2(k10_finseq_1(A, B), k10_subset_1(1, k4_finseq_1(k10_finseq_1(A, B))))), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), u1_struct_0(k7_prvect_3(A, B)), k4_ndiff_5(k10_finseq_1(A, B), k10_subset_1(1, k4_finseq_1(k10_finseq_1(A, B))), k3_funct_2(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), k3_ndiff_7(A, B), C)), k4_ndiff_7(A, B, k3_ndiff_7(A, B)))) & r1_funct_2(u1_struct_0(B), u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k11_prvect_2(k10_finseq_1(A, B), k10_subset_1(2, k4_finseq_1(k10_finseq_1(A, B))))), u1_struct_0(k7_prvect_3(A, B)), k2_ndiff_7(A, B, C), k1_partfun1(u1_struct_0(k11_prvect_2(k10_finseq_1(A, B), k10_subset_1(2, k4_finseq_1(k10_finseq_1(A, B))))), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), u1_struct_0(k7_prvect_3(A, B)), k4_ndiff_5(k10_finseq_1(A, B), k10_subset_1(2, k4_finseq_1(k10_finseq_1(A, B))), k3_funct_2(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), k3_ndiff_7(A, B), C)), k4_ndiff_7(A, B, k3_ndiff_7(A, B))))) ) ) ) ) ) ) ).
fof(d4_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_prvect_3(A, B))) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C)))))  =>  (r1_ndiff_7(A, B, C, D, E) <=> r1_ndiff_1(A, C, k1_partfun1(u1_struct_0(A), u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C), k1_ndiff_7(A, B, D), E), k5_ndiff_7(A, B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_prvect_3(A, B))) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C)))))  =>  (r2_ndiff_7(A, B, C, D, E) <=> r1_ndiff_1(B, C, k1_partfun1(u1_struct_0(B), u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C), k2_ndiff_7(A, B, D), E), k6_ndiff_7(A, B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_prvect_3(A, B))) =>  (k5_ndiff_7(A, B, C)=k3_funct_2(u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), u1_struct_0(k11_prvect_2(k10_finseq_1(A, B), k10_subset_1(1, k4_finseq_1(k10_finseq_1(A, B))))), k3_ndiff_5(k10_finseq_1(A, B), k10_subset_1(1, k4_finseq_1(k10_finseq_1(A, B)))), k3_funct_2(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), k3_ndiff_7(A, B), C)) & k6_ndiff_7(A, B, C)=k3_funct_2(u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), u1_struct_0(k11_prvect_2(k10_finseq_1(A, B), k10_subset_1(2, k4_finseq_1(k10_finseq_1(A, B))))), k3_ndiff_5(k10_finseq_1(A, B), k10_subset_1(2, k4_finseq_1(k10_finseq_1(A, B)))), k3_funct_2(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), k3_ndiff_7(A, B), C))) ) ) ) ) ) ) ).
fof(t34_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_prvect_3(A, B))) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C)))))  =>  ( (r1_ndiff_7(A, B, C, D, E) => r1_ndiff_5(k10_finseq_1(A, B), C, 1, k1_partfun1(u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C), k4_ndiff_7(A, B, k3_ndiff_7(A, B)), E), k3_funct_2(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), k3_ndiff_7(A, B), D)))  &  ( (r1_ndiff_5(k10_finseq_1(A, B), C, 1, k1_partfun1(u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C), k4_ndiff_7(A, B, k3_ndiff_7(A, B)), E), k3_funct_2(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), k3_ndiff_7(A, B), D)) => r1_ndiff_7(A, B, C, D, E))  &  ( (r2_ndiff_7(A, B, C, D, E) => r1_ndiff_5(k10_finseq_1(A, B), C, 2, k1_partfun1(u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C), k4_ndiff_7(A, B, k3_ndiff_7(A, B)), E), k3_funct_2(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), k3_ndiff_7(A, B), D)))  &  (r1_ndiff_5(k10_finseq_1(A, B), C, 2, k1_partfun1(u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C), k4_ndiff_7(A, B, k3_ndiff_7(A, B)), E), k3_funct_2(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), k3_ndiff_7(A, B), D)) => r2_ndiff_7(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_prvect_3(A, B))) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C)))))  => k7_ndiff_7(A, B, C, D, E)=k3_ndiff_1(A, C, k1_partfun1(u1_struct_0(A), u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C), k1_ndiff_7(A, B, D), E), k5_ndiff_7(A, B, D))) ) ) ) ) ) ) ) ) ) ).
fof(d7_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_prvect_3(A, B))) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C)))))  => k8_ndiff_7(A, B, C, D, E)=k3_ndiff_1(B, C, k1_partfun1(u1_struct_0(B), u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C), k2_ndiff_7(A, B, D), E), k6_ndiff_7(A, B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t35_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_prvect_3(A, B))) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C)))))  =>  (k7_ndiff_7(A, B, C, D, E)=k5_ndiff_5(k10_finseq_1(A, B), C, 1, k1_partfun1(u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C), k4_ndiff_7(A, B, k3_ndiff_7(A, B)), E), k3_funct_2(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), k3_ndiff_7(A, B), D)) & k8_ndiff_7(A, B, C, D, E)=k5_ndiff_5(k10_finseq_1(A, B), C, 2, k1_partfun1(u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C), k4_ndiff_7(A, B, k3_ndiff_7(A, B)), E), k3_funct_2(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), k3_ndiff_7(A, B), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_prvect_3(A, B))) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C)))))  =>  ( (r1_ndiff_7(A, B, C, D, E) & r1_ndiff_7(A, B, C, D, F))  =>  (r1_ndiff_7(A, B, C, D, k6_vfunct_1(u1_struct_0(k7_prvect_3(A, B)), C, E, F)) &  (k7_ndiff_7(A, B, C, D, k6_vfunct_1(u1_struct_0(k7_prvect_3(A, B)), C, E, F))=k3_rlvect_1(k16_lopban_1(A, C), k7_ndiff_7(A, B, C, D, E), k7_ndiff_7(A, B, C, D, F)) &  (r1_ndiff_7(A, B, C, D, k2_vfunct_1(u1_struct_0(k7_prvect_3(A, B)), C, E, F)) & k7_ndiff_7(A, B, C, D, k2_vfunct_1(u1_struct_0(k7_prvect_3(A, B)), C, E, F))=k5_algstr_0(k16_lopban_1(A, C), k7_ndiff_7(A, B, C, D, E), k7_ndiff_7(A, B, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_prvect_3(A, B))) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C)))))  =>  ( (r2_ndiff_7(A, B, C, D, E) & r2_ndiff_7(A, B, C, D, F))  =>  (r2_ndiff_7(A, B, C, D, k6_vfunct_1(u1_struct_0(k7_prvect_3(A, B)), C, E, F)) &  (k8_ndiff_7(A, B, C, D, k6_vfunct_1(u1_struct_0(k7_prvect_3(A, B)), C, E, F))=k3_rlvect_1(k16_lopban_1(B, C), k8_ndiff_7(A, B, C, D, E), k8_ndiff_7(A, B, C, D, F)) &  (r2_ndiff_7(A, B, C, D, k2_vfunct_1(u1_struct_0(k7_prvect_3(A, B)), C, E, F)) & k8_ndiff_7(A, B, C, D, k2_vfunct_1(u1_struct_0(k7_prvect_3(A, B)), C, E, F))=k5_algstr_0(k16_lopban_1(B, C), k8_ndiff_7(A, B, C, D, E), k8_ndiff_7(A, B, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_prvect_3(A, B))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C)))))  =>  (r1_ndiff_7(A, B, C, D, F) =>  (r1_ndiff_7(A, B, C, D, k4_vfunct_1(u1_struct_0(k7_prvect_3(A, B)), C, F, E)) & k7_ndiff_7(A, B, C, D, k4_vfunct_1(u1_struct_0(k7_prvect_3(A, B)), C, F, E))=k1_rlvect_1(k16_lopban_1(A, C), k7_ndiff_7(A, B, C, D, F), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_prvect_3(A, B))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C)))))  =>  (r2_ndiff_7(A, B, C, D, F) =>  (r2_ndiff_7(A, B, C, D, k4_vfunct_1(u1_struct_0(k7_prvect_3(A, B)), C, F, E)) & k8_ndiff_7(A, B, C, D, k4_vfunct_1(u1_struct_0(k7_prvect_3(A, B)), C, F, E))=k1_rlvect_1(k16_lopban_1(B, C), k8_ndiff_7(A, B, C, D, F), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C)))))  =>  (r3_ndiff_7(A, B, C, D, E) <=>  (r1_tarski(D, k1_relset_1(u1_struct_0(k7_prvect_3(A, B)), E)) &  (! [F] :  (m1_subset_1(F, u1_struct_0(k7_prvect_3(A, B))) =>  (r2_tarski(F, D) => r1_ndiff_7(A, B, C, F, k2_partfun1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C), E, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C)))))  =>  (r4_ndiff_7(A, B, C, D, E) <=>  (r1_tarski(D, k1_relset_1(u1_struct_0(k7_prvect_3(A, B)), E)) &  (! [F] :  (m1_subset_1(F, u1_struct_0(k7_prvect_3(A, B))) =>  (r2_tarski(F, D) => r2_ndiff_7(A, B, C, F, k2_partfun1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C), E, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)))) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C)))))  =>  ( (r3_ndiff_7(A, B, C, D, E) => r2_ndiff_5(k10_finseq_1(A, B), C, 1, k1_partfun1(u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C), k4_ndiff_7(A, B, k3_ndiff_7(A, B)), E), k8_relset_1(u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), u1_struct_0(k7_prvect_3(A, B)), k4_ndiff_7(A, B, k3_ndiff_7(A, B)), D)))  &  ( (r2_ndiff_5(k10_finseq_1(A, B), C, 1, k1_partfun1(u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C), k4_ndiff_7(A, B, k3_ndiff_7(A, B)), E), k8_relset_1(u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), u1_struct_0(k7_prvect_3(A, B)), k4_ndiff_7(A, B, k3_ndiff_7(A, B)), D)) => r3_ndiff_7(A, B, C, D, E))  &  ( (r4_ndiff_7(A, B, C, D, E) => r2_ndiff_5(k10_finseq_1(A, B), C, 2, k1_partfun1(u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C), k4_ndiff_7(A, B, k3_ndiff_7(A, B)), E), k8_relset_1(u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), u1_struct_0(k7_prvect_3(A, B)), k4_ndiff_7(A, B, k3_ndiff_7(A, B)), D)))  &  (r2_ndiff_5(k10_finseq_1(A, B), C, 2, k1_partfun1(u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C), k4_ndiff_7(A, B, k3_ndiff_7(A, B)), E), k8_relset_1(u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), u1_struct_0(k7_prvect_3(A, B)), k4_ndiff_7(A, B, k3_ndiff_7(A, B)), D)) => r4_ndiff_7(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C)))))  =>  (r3_ndiff_7(A, B, C, D, E) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k16_lopban_1(A, C))))))  =>  (F=k9_ndiff_7(A, B, C, D, E) <=>  (k1_relset_1(u1_struct_0(k7_prvect_3(A, B)), F)=D &  (! [G] :  (m1_subset_1(G, u1_struct_0(k7_prvect_3(A, B))) =>  (r2_tarski(G, D) => k7_partfun1(u1_struct_0(k16_lopban_1(A, C)), F, G)=k7_ndiff_7(A, B, C, G, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C)))))  =>  (r4_ndiff_7(A, B, C, D, E) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k16_lopban_1(B, C))))))  =>  (F=k10_ndiff_7(A, B, C, D, E) <=>  (k1_relset_1(u1_struct_0(k7_prvect_3(A, B)), F)=D &  (! [G] :  (m1_subset_1(G, u1_struct_0(k7_prvect_3(A, B))) =>  (r2_tarski(G, D) => k7_partfun1(u1_struct_0(k16_lopban_1(B, C)), F, G)=k8_ndiff_7(A, B, C, G, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)))) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C)))))  =>  (r3_ndiff_7(A, B, C, D, E) => k9_ndiff_7(A, B, C, D, E)=k1_partfun1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), u1_struct_0(k16_lopban_1(k11_prvect_2(k10_finseq_1(A, B), k10_subset_1(1, k4_finseq_1(k10_finseq_1(A, B)))), C)), k3_ndiff_7(A, B), k6_ndiff_5(k10_finseq_1(A, B), C, 1, k1_partfun1(u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C), k4_ndiff_7(A, B, k3_ndiff_7(A, B)), E), k8_relset_1(u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), u1_struct_0(k7_prvect_3(A, B)), k4_ndiff_7(A, B, k3_ndiff_7(A, B)), D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)))) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C)))))  =>  (r4_ndiff_7(A, B, C, D, E) => k10_ndiff_7(A, B, C, D, E)=k1_partfun1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), u1_struct_0(k16_lopban_1(k11_prvect_2(k10_finseq_1(A, B), k10_subset_1(2, k4_finseq_1(k10_finseq_1(A, B)))), C)), k3_ndiff_7(A, B), k6_ndiff_5(k10_finseq_1(A, B), C, 2, k1_partfun1(u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C), k4_ndiff_7(A, B, k3_ndiff_7(A, B)), E), k8_relset_1(u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), u1_struct_0(k7_prvect_3(A, B)), k4_ndiff_7(A, B, k3_ndiff_7(A, B)), D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)))) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C)))))  =>  (v3_nfcont_1(D, k7_prvect_3(A, B)) =>  (r3_ndiff_7(A, B, C, D, E) <=>  (r1_tarski(D, k1_relset_1(u1_struct_0(k7_prvect_3(A, B)), E)) &  (! [F] :  (m1_subset_1(F, u1_struct_0(k7_prvect_3(A, B))) =>  (r2_tarski(F, D) => r1_ndiff_7(A, B, C, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)))) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C)))))  =>  (v3_nfcont_1(D, k7_prvect_3(A, B)) =>  (r4_ndiff_7(A, B, C, D, E) <=>  (r1_tarski(D, k1_relset_1(u1_struct_0(k7_prvect_3(A, B)), E)) &  (! [F] :  (m1_subset_1(F, u1_struct_0(k7_prvect_3(A, B))) =>  (r2_tarski(F, D) => r2_ndiff_7(A, B, C, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)))) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C)))))  =>  ( (v3_nfcont_1(D, k7_prvect_3(A, B)) &  (r3_ndiff_7(A, B, C, D, E) & r3_ndiff_7(A, B, C, D, F)) )  =>  (r3_ndiff_7(A, B, C, D, k6_vfunct_1(u1_struct_0(k7_prvect_3(A, B)), C, E, F)) & r2_relset_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k16_lopban_1(A, C)), k9_ndiff_7(A, B, C, D, k6_vfunct_1(u1_struct_0(k7_prvect_3(A, B)), C, E, F)), k6_vfunct_1(u1_struct_0(k7_prvect_3(A, B)), k16_lopban_1(A, C), k9_ndiff_7(A, B, C, D, E), k9_ndiff_7(A, B, C, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)))) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C)))))  =>  ( (v3_nfcont_1(D, k7_prvect_3(A, B)) &  (r3_ndiff_7(A, B, C, D, E) & r3_ndiff_7(A, B, C, D, F)) )  =>  (r3_ndiff_7(A, B, C, D, k2_vfunct_1(u1_struct_0(k7_prvect_3(A, B)), C, E, F)) & r2_relset_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k16_lopban_1(A, C)), k9_ndiff_7(A, B, C, D, k2_vfunct_1(u1_struct_0(k7_prvect_3(A, B)), C, E, F)), k2_vfunct_1(u1_struct_0(k7_prvect_3(A, B)), k16_lopban_1(A, C), k9_ndiff_7(A, B, C, D, E), k9_ndiff_7(A, B, C, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)))) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C)))))  =>  ( (v3_nfcont_1(D, k7_prvect_3(A, B)) &  (r4_ndiff_7(A, B, C, D, E) & r4_ndiff_7(A, B, C, D, F)) )  =>  (r4_ndiff_7(A, B, C, D, k6_vfunct_1(u1_struct_0(k7_prvect_3(A, B)), C, E, F)) & r2_relset_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k16_lopban_1(B, C)), k10_ndiff_7(A, B, C, D, k6_vfunct_1(u1_struct_0(k7_prvect_3(A, B)), C, E, F)), k6_vfunct_1(u1_struct_0(k7_prvect_3(A, B)), k16_lopban_1(B, C), k10_ndiff_7(A, B, C, D, E), k10_ndiff_7(A, B, C, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)))) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C)))))  =>  ( (v3_nfcont_1(D, k7_prvect_3(A, B)) &  (r4_ndiff_7(A, B, C, D, E) & r4_ndiff_7(A, B, C, D, F)) )  =>  (r4_ndiff_7(A, B, C, D, k2_vfunct_1(u1_struct_0(k7_prvect_3(A, B)), C, E, F)) & r2_relset_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k16_lopban_1(B, C)), k10_ndiff_7(A, B, C, D, k2_vfunct_1(u1_struct_0(k7_prvect_3(A, B)), C, E, F)), k2_vfunct_1(u1_struct_0(k7_prvect_3(A, B)), k16_lopban_1(B, C), k10_ndiff_7(A, B, C, D, E), k10_ndiff_7(A, B, C, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C)))))  =>  ( (v3_nfcont_1(D, k7_prvect_3(A, B)) & r3_ndiff_7(A, B, C, D, F))  =>  (r3_ndiff_7(A, B, C, D, k4_vfunct_1(u1_struct_0(k7_prvect_3(A, B)), C, F, E)) & r2_relset_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k16_lopban_1(A, C)), k9_ndiff_7(A, B, C, D, k4_vfunct_1(u1_struct_0(k7_prvect_3(A, B)), C, F, E)), k4_vfunct_1(u1_struct_0(k7_prvect_3(A, B)), k16_lopban_1(A, C), k9_ndiff_7(A, B, C, D, F), E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)))) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C)))))  =>  ( (v3_nfcont_1(D, k7_prvect_3(A, B)) & r4_ndiff_7(A, B, C, D, F))  =>  (r4_ndiff_7(A, B, C, D, k4_vfunct_1(u1_struct_0(k7_prvect_3(A, B)), C, F, E)) & r2_relset_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k16_lopban_1(B, C)), k10_ndiff_7(A, B, C, D, k4_vfunct_1(u1_struct_0(k7_prvect_3(A, B)), C, F, E)), k4_vfunct_1(u1_struct_0(k7_prvect_3(A, B)), k16_lopban_1(B, C), k10_ndiff_7(A, B, C, D, F), E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)))) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C)))))  =>  (r2_ndiff_1(D, k7_prvect_3(A, B), C, E) =>  (r3_nfcont_1(k7_prvect_3(A, B), k16_lopban_1(k7_prvect_3(A, B), C), k4_ndiff_1(k7_prvect_3(A, B), C, E, D), D) <=> r3_nfcont_1(k14_prvect_2(k10_finseq_1(A, B)), k16_lopban_1(k14_prvect_2(k10_finseq_1(A, B)), C), k4_ndiff_1(k14_prvect_2(k10_finseq_1(A, B)), C, k1_partfun1(u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C), k4_ndiff_7(A, B, k3_ndiff_7(A, B)), E), k8_relset_1(u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), u1_struct_0(k7_prvect_3(A, B)), k4_ndiff_7(A, B, k3_ndiff_7(A, B)), D)), k8_relset_1(u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), u1_struct_0(k7_prvect_3(A, B)), k4_ndiff_7(A, B, k3_ndiff_7(A, B)), D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_ndiff_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)))) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C)))))  =>  (v3_nfcont_1(D, k7_prvect_3(A, B)) =>  ( ( (r3_ndiff_7(A, B, C, D, E) &  (r4_ndiff_7(A, B, C, D, E) &  (r3_nfcont_1(k7_prvect_3(A, B), k16_lopban_1(A, C), k9_ndiff_7(A, B, C, D, E), D) & r3_nfcont_1(k7_prvect_3(A, B), k16_lopban_1(B, C), k10_ndiff_7(A, B, C, D, E), D)) ) )  =>  (r2_ndiff_1(D, k7_prvect_3(A, B), C, E) & r3_nfcont_1(k7_prvect_3(A, B), k16_lopban_1(k7_prvect_3(A, B), C), k4_ndiff_1(k7_prvect_3(A, B), C, E, D), D)) )  &  ( (r2_ndiff_1(D, k7_prvect_3(A, B), C, E) & r3_nfcont_1(k7_prvect_3(A, B), k16_lopban_1(k7_prvect_3(A, B), C), k4_ndiff_1(k7_prvect_3(A, B), C, E, D), D))  =>  (r3_ndiff_7(A, B, C, D, E) &  (r4_ndiff_7(A, B, C, D, E) &  (r3_nfcont_1(k7_prvect_3(A, B), k16_lopban_1(A, C), k9_ndiff_7(A, B, C, D, E), D) & r3_nfcont_1(k7_prvect_3(A, B), k16_lopban_1(B, C), k10_ndiff_7(A, B, C, D, E), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_ndiff_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(C, u1_struct_0(k7_prvect_3(A, B)))) )  =>  (v1_funct_1(k1_ndiff_7(A, B, C)) &  (v1_funct_2(k1_ndiff_7(A, B, C), u1_struct_0(A), u1_struct_0(k7_prvect_3(A, B))) & m1_subset_1(k1_ndiff_7(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k7_prvect_3(A, B)))))) ) ) ) ).
fof(dt_k2_ndiff_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(C, u1_struct_0(k7_prvect_3(A, B)))) )  =>  (v1_funct_1(k2_ndiff_7(A, B, C)) &  (v1_funct_2(k2_ndiff_7(A, B, C), u1_struct_0(B), u1_struct_0(k7_prvect_3(A, B))) & m1_subset_1(k2_ndiff_7(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(k7_prvect_3(A, B)))))) ) ) ) ).
fof(dt_k3_ndiff_7, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k3_ndiff_7(A, B)) &  (v1_funct_2(k3_ndiff_7(A, B), u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B)))) &  (v13_vectsp_1(k3_ndiff_7(A, B), k7_prvect_3(A, B), k14_prvect_2(k10_finseq_1(A, B))) &  (v1_lopban_1(k3_ndiff_7(A, B), k7_prvect_3(A, B), k14_prvect_2(k10_finseq_1(A, B))) & m1_subset_1(k3_ndiff_7(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))))))) ) ) ) ) ) ).
fof(dt_k4_ndiff_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v2_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B)))) &  (v2_funct_2(C, u1_struct_0(k14_prvect_2(k10_finseq_1(A, B)))) &  (v13_vectsp_1(C, k7_prvect_3(A, B), k14_prvect_2(k10_finseq_1(A, B))) &  (v1_lopban_1(C, k7_prvect_3(A, B), k14_prvect_2(k10_finseq_1(A, B))) &  (v1_mazurulm(C, k7_prvect_3(A, B), k14_prvect_2(k10_finseq_1(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))))))) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k4_ndiff_7(A, B, C)) &  (v1_funct_2(k4_ndiff_7(A, B, C), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), u1_struct_0(k7_prvect_3(A, B))) &  (v13_vectsp_1(k4_ndiff_7(A, B, C), k14_prvect_2(k10_finseq_1(A, B)), k7_prvect_3(A, B)) &  (v1_lopban_1(k4_ndiff_7(A, B, C), k14_prvect_2(k10_finseq_1(A, B)), k7_prvect_3(A, B)) & m1_subset_1(k4_ndiff_7(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), u1_struct_0(k7_prvect_3(A, B)))))) ) ) ) ) ) ).
fof(redefinition_k4_ndiff_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v2_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B)))) &  (v2_funct_2(C, u1_struct_0(k14_prvect_2(k10_finseq_1(A, B)))) &  (v13_vectsp_1(C, k7_prvect_3(A, B), k14_prvect_2(k10_finseq_1(A, B))) &  (v1_lopban_1(C, k7_prvect_3(A, B), k14_prvect_2(k10_finseq_1(A, B))) &  (v1_mazurulm(C, k7_prvect_3(A, B), k14_prvect_2(k10_finseq_1(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))))))) ) ) ) ) ) ) ) )  => k4_ndiff_7(A, B, C)=k2_funct_1(C)) ) ).
fof(dt_k5_ndiff_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(C, u1_struct_0(k7_prvect_3(A, B)))) )  => m1_subset_1(k5_ndiff_7(A, B, C), u1_struct_0(A))) ) ).
fof(redefinition_k5_ndiff_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(C, u1_struct_0(k7_prvect_3(A, B)))) )  => k5_ndiff_7(A, B, C)=k1_xtuple_0(C)) ) ).
fof(dt_k6_ndiff_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(C, u1_struct_0(k7_prvect_3(A, B)))) )  => m1_subset_1(k6_ndiff_7(A, B, C), u1_struct_0(B))) ) ).
fof(redefinition_k6_ndiff_7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(C, u1_struct_0(k7_prvect_3(A, B)))) )  => k6_ndiff_7(A, B, C)=k2_xtuple_0(C)) ) ).
fof(dt_k7_ndiff_7, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(D, u1_struct_0(k7_prvect_3(A, B))) &  (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C))))) ) ) ) )  => m1_subset_1(k7_ndiff_7(A, B, C, D, E), u1_struct_0(k16_lopban_1(A, C)))) ) ).
fof(dt_k8_ndiff_7, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(D, u1_struct_0(k7_prvect_3(A, B))) &  (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C))))) ) ) ) )  => m1_subset_1(k8_ndiff_7(A, B, C, D, E), u1_struct_0(k16_lopban_1(B, C)))) ) ).
fof(dt_k9_ndiff_7, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C))))) ) ) )  =>  (v1_funct_1(k9_ndiff_7(A, B, C, D, E)) & m1_subset_1(k9_ndiff_7(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k16_lopban_1(A, C)))))) ) ) ).
fof(dt_k10_ndiff_7, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(C))))) ) ) )  =>  (v1_funct_1(k10_ndiff_7(A, B, C, D, E)) & m1_subset_1(k10_ndiff_7(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k16_lopban_1(B, C)))))) ) ) ).
fof(fc1_ndiff_8, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & v1_xreal_0(C)) )  => v3_nfcont_1(k1_lopban_5(A, B, C), A)) ) ).
fof(fc2_ndiff_8, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & v1_xreal_0(C)) )  => v2_nfcont_1(k1_ndiff_8(A, B, C), A)) ) ).
fof(t1_ndiff_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k7_prvect_3(A, B))) =>  (E=k4_tarski(C, D) => k2_normsp_0(k7_prvect_3(A, B), E)=k3_square_1(k2_xcmplx_0(k1_square_1(k2_normsp_0(A, C)), k1_square_1(k2_normsp_0(B, D))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_ndiff_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_prvect_3(A, B))) =>  (D=k4_tarski(C, k4_struct_0(B)) => k2_normsp_0(k7_prvect_3(A, B), D)=k2_normsp_0(A, C)) ) ) ) ) ) ) ) ) ).
fof(t3_ndiff_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_prvect_3(A, B))) =>  (D=k4_tarski(k4_struct_0(A), C) => k2_normsp_0(k7_prvect_3(A, B), D)=k2_normsp_0(B, C)) ) ) ) ) ) ) ) ) ).
fof(t4_ndiff_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v5_rlvect_1(D) &  (v6_rlvect_1(D) &  (v7_rlvect_1(D) &  (v8_rlvect_1(D) &  (v3_normsp_0(D) &  (v4_normsp_0(D) &  (v2_normsp_1(D) & l1_normsp_1(D)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(D)) &  (v13_vectsp_1(E, C, D) &  (v1_lopban_1(E, C, D) &  (v2_lopban_1(E, C, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D))))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(F, B, C) &  (v1_lopban_1(F, B, C) &  (v2_lopban_1(F, B, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(G, A, B) &  (v1_lopban_1(G, A, B) &  (v2_lopban_1(G, A, B) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  => r2_funct_2(u1_struct_0(A), u1_struct_0(D), k1_partfun1(u1_struct_0(A), u1_struct_0(C), u1_struct_0(C), u1_struct_0(D), k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), G, F), E), k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(D), G, k1_partfun1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(C), u1_struct_0(D), F, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_ndiff_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(D, A, B) &  (v1_lopban_1(D, A, B) &  (v2_lopban_1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(E, B, C) &  (v1_lopban_1(E, B, C) &  (v2_lopban_1(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(A), u1_struct_0(C)) &  (v13_vectsp_1(F, A, C) &  (v1_lopban_1(F, A, C) &  (v2_lopban_1(F, A, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C))))) ) ) ) )  =>  (r2_funct_2(u1_struct_0(A), u1_struct_0(C), F, k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E)) <=>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(C), F, G)=k3_funct_2(u1_struct_0(B), u1_struct_0(C), E, k3_funct_2(u1_struct_0(A), u1_struct_0(B), D, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_ndiff_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) &  (v2_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (r2_funct_2(u1_struct_0(A), u1_struct_0(B), k1_partfun1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), k6_partfun1(u1_struct_0(A)), C), C) & r2_funct_2(u1_struct_0(A), u1_struct_0(B), k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(B), C, k6_partfun1(u1_struct_0(B))), C)) ) ) ) ) ) ) ).
fof(t7_ndiff_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v5_rlvect_1(D) &  (v6_rlvect_1(D) &  (v7_rlvect_1(D) &  (v8_rlvect_1(D) &  (v3_normsp_0(D) &  (v4_normsp_0(D) &  (v2_normsp_1(D) & l1_normsp_1(D)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  (m2_subset_1(E, u1_struct_0(k8_lopban_1(C, D)), k10_lopban_1(C, D)) =>  (! [F] :  (m2_subset_1(F, u1_struct_0(k8_lopban_1(B, C)), k10_lopban_1(B, C)) =>  (! [G] :  (m2_subset_1(G, u1_struct_0(k8_lopban_1(A, B)), k10_lopban_1(A, B)) => k1_ndiff_2(A, C, D, k1_ndiff_2(A, B, C, G, F), E)=k1_ndiff_2(A, B, D, G, k1_ndiff_2(B, C, D, F, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_ndiff_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_subset_1(C, u1_struct_0(k8_lopban_1(A, B)), k10_lopban_1(A, B)) =>  (k1_ndiff_2(A, A, B, k6_lopban_2(A), C)=C & k1_ndiff_2(A, B, B, C, k6_lopban_2(B))=C) ) ) ) ) ) ) ).
fof(t9_ndiff_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k16_lopban_1(B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k16_lopban_1(A, B))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k16_lopban_1(A, B))) => k2_ndiff_2(A, B, C, k3_rlvect_1(k16_lopban_1(A, B), E, F), D)=k3_rlvect_1(k16_lopban_1(A, C), k2_ndiff_2(A, B, C, E, D), k2_ndiff_2(A, B, C, F, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_ndiff_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k16_lopban_1(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k16_lopban_1(B, C))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k16_lopban_1(B, C))) => k2_ndiff_2(A, B, C, D, k3_rlvect_1(k16_lopban_1(B, C), E, F))=k3_rlvect_1(k16_lopban_1(A, C), k2_ndiff_2(A, B, C, D, E), k2_ndiff_2(A, B, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_ndiff_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k16_lopban_1(B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k16_lopban_1(A, B))) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) => k1_rlvect_1(k16_lopban_1(A, C), k2_ndiff_2(A, B, C, E, D), k3_xcmplx_0(F, G))=k2_ndiff_2(A, B, C, k1_rlvect_1(k16_lopban_1(A, B), E, G), k1_rlvect_1(k16_lopban_1(B, C), D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_ndiff_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k16_lopban_1(B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k16_lopban_1(A, B))) =>  (! [F] :  (v1_xreal_0(F) => k1_rlvect_1(k16_lopban_1(A, C), k2_ndiff_2(A, B, C, E, D), F)=k2_ndiff_2(A, B, C, E, k1_rlvect_1(k16_lopban_1(B, C), D, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_ndiff_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  =>  (r2_tarski(B, k1_lopban_5(A, B, C)) & r2_tarski(B, k1_ndiff_8(A, B, C))) ) ) ) ) ) ) ) ).
fof(t14_ndiff_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  =>  ( ~ (k1_lopban_5(A, B, C)=k1_xboole_0)  &  ~ (k1_ndiff_8(A, B, C)=k1_xboole_0) ) ) ) ) ) ) ) ) ).
fof(t15_ndiff_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (r1_xxreal_0(C, D) =>  (r1_tarski(k1_ndiff_8(A, B, C), k1_ndiff_8(A, B, D)) &  (r1_tarski(k1_lopban_5(A, B, C), k1_ndiff_8(A, B, D)) & r1_tarski(k1_lopban_5(A, B, C), k1_lopban_5(A, B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_ndiff_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( ~ (r1_xxreal_0(D, C))  => r1_tarski(k1_ndiff_8(A, B, C), k1_lopban_5(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t19_ndiff_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  => m1_nfcont_1(k1_lopban_5(A, B, C), A, B)) ) ) ) ) ) ) ).
fof(t20_ndiff_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_nfcont_1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r2_tarski(C, B) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  & r1_tarski(k1_lopban_5(A, C, D), B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_ndiff_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k7_prvect_3(A, B))) =>  (E=k4_tarski(C, D) =>  (r1_xxreal_0(k2_normsp_0(A, C), k2_normsp_0(k7_prvect_3(A, B), E)) & r1_xxreal_0(k2_normsp_0(B, D), k2_normsp_0(k7_prvect_3(A, B), E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_ndiff_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k7_prvect_3(A, B))) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(F, k5_numbers))  &  (E=k4_tarski(C, D) &  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(G, k5_numbers))  &  ( ~ (r1_xxreal_0(F, G))  & r1_tarski(k2_zfmisc_1(k1_lopban_5(A, C, G), k1_lopban_5(B, D, G)), k1_lopban_5(k7_prvect_3(A, B), E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_ndiff_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)))) =>  ~ ( (v3_nfcont_1(E, k7_prvect_3(A, B)) &  (r2_hidden(k4_tarski(C, D), E) &  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(F, k5_numbers))  & r1_tarski(k2_zfmisc_1(k1_lopban_5(A, C, F), k1_lopban_5(B, D, F)), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_ndiff_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)))) =>  (! [F] :  (v1_xreal_0(F) =>  (E=k2_zfmisc_1(k1_lopban_5(A, C, F), k1_lopban_5(B, D, F)) => v3_nfcont_1(E, k7_prvect_3(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_ndiff_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (v2_funct_1(C) =>  (k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D)=k4_struct_0(B) <=> D=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ).
fof(t28_ndiff_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))))  =>  ( (v2_nfcont_1(B, A) &  (k1_relset_1(u1_struct_0(A), C)=B & r1_tarski(k2_relset_1(u1_struct_0(A), C), B)) )  =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  ( ~ (r1_xxreal_0(1, D))  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_tarski(E, B) & r2_tarski(F, B))  => r1_xxreal_0(k2_normsp_0(A, k5_algstr_0(A, k7_partfun1(u1_struct_0(A), C, E), k7_partfun1(u1_struct_0(A), C, F))), k3_xcmplx_0(D, k2_normsp_0(A, k5_algstr_0(A, E, F))))) ) ) ) ) ) ) ) ) )  |  ( (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (r2_tarski(D, B) & k1_funct_1(C, D)=D) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r2_tarski(D, B) &  (r2_tarski(E, B) &  (k1_funct_1(C, D)=D & k1_funct_1(C, E)=E) ) )  => D=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_ndiff_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) &  (v3_lopban_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(B)))))  =>  ( (v2_nfcont_1(D, B) &  (r1_tarski(k2_zfmisc_1(C, D), k1_relset_1(u1_struct_0(k7_prvect_3(A, B)), E)) &  ( (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  ( (r2_tarski(F, C) & r2_tarski(G, D))  => r2_tarski(k1_binop_1(E, F, G), D)) ) ) ) )  &  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (r2_tarski(F, D) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r2_tarski(G, C) =>  (! [H] :  (v1_xreal_0(H) =>  ~ ( ( ~ (r1_xxreal_0(H, k5_numbers))  &  (! [I] :  (v1_xreal_0(I) =>  ~ ( ( ~ (r1_xxreal_0(I, k5_numbers))  &  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  ~ ( (r2_tarski(J, C) &  ( ~ (r1_xxreal_0(I, k2_normsp_0(A, k5_algstr_0(A, J, G))))  & r1_xxreal_0(H, k2_normsp_0(B, k5_algstr_0(B, k7_partfun1(u1_struct_0(B), E, k4_tarski(J, F)), k7_partfun1(u1_struct_0(B), E, k4_tarski(G, F)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(F, k5_numbers))  &  ( ~ (r1_xxreal_0(1, F))  &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r2_tarski(G, C) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(B)) =>  ( (r2_tarski(H, D) & r2_tarski(I, D))  => r1_xxreal_0(k2_normsp_0(B, k5_algstr_0(B, k7_partfun1(u1_struct_0(B), E, k4_tarski(G, H)), k7_partfun1(u1_struct_0(B), E, k4_tarski(G, I)))), k3_xcmplx_0(F, k2_normsp_0(B, k5_algstr_0(B, H, I))))) ) ) ) ) ) ) ) ) ) ) ) )  |  ( (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r2_tarski(F, C) =>  ( (? [G] :  (m1_subset_1(G, u1_struct_0(B)) &  (r2_tarski(G, D) & k1_binop_1(E, F, G)=G) ) )  &  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  ( (r2_tarski(G, D) &  (r2_tarski(H, D) &  (k1_binop_1(E, F, G)=G & k1_binop_1(E, F, H)=H) ) )  => G=H) ) ) ) ) ) ) ) )  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  ( (r2_tarski(F, C) &  (r2_tarski(G, D) & k1_binop_1(E, F, G)=G) )  =>  (! [H] :  (v1_xreal_0(H) =>  ~ ( ( ~ (r1_xxreal_0(H, k5_numbers))  &  (! [I] :  (v1_xreal_0(I) =>  ~ ( ( ~ (r1_xxreal_0(I, k5_numbers))  &  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(B)) =>  ~ ( (r2_tarski(J, C) &  (r2_tarski(K, D) &  (k1_binop_1(E, J, K)=K &  ( ~ (r1_xxreal_0(I, k2_normsp_0(A, k5_algstr_0(A, J, F))))  & r1_xxreal_0(H, k2_normsp_0(B, k5_algstr_0(B, K, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_ndiff_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) &  (v3_lopban_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(B)))))  =>  ( (v2_nfcont_1(D, B) &  (r1_tarski(k2_zfmisc_1(C, D), k1_relset_1(u1_struct_0(k7_prvect_3(A, B)), E)) &  ( (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  ( (r2_tarski(F, C) & r2_tarski(G, D))  => r2_tarski(k1_binop_1(E, F, G), D)) ) ) ) )  &  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (r2_tarski(F, D) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r2_tarski(G, C) =>  (! [H] :  (v1_xreal_0(H) =>  ~ ( ( ~ (r1_xxreal_0(H, k5_numbers))  &  (! [I] :  (v1_xreal_0(I) =>  ~ ( ( ~ (r1_xxreal_0(I, k5_numbers))  &  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  ~ ( (r2_tarski(J, C) &  ( ~ (r1_xxreal_0(I, k2_normsp_0(A, k5_algstr_0(A, J, G))))  & r1_xxreal_0(H, k2_normsp_0(B, k5_algstr_0(B, k7_partfun1(u1_struct_0(B), E, k4_tarski(J, F)), k7_partfun1(u1_struct_0(B), E, k4_tarski(G, F)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(F, k5_numbers))  &  ( ~ (r1_xxreal_0(1, F))  &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r2_tarski(G, C) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(B)) =>  ( (r2_tarski(H, D) & r2_tarski(I, D))  => r1_xxreal_0(k2_normsp_0(B, k5_algstr_0(B, k7_partfun1(u1_struct_0(B), E, k4_tarski(G, H)), k7_partfun1(u1_struct_0(B), E, k4_tarski(G, I)))), k3_xcmplx_0(F, k2_normsp_0(B, k5_algstr_0(B, H, I))))) ) ) ) ) ) ) ) ) ) ) ) )  |  ( (? [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  &  (r3_nfcont_1(A, B, F, C) &  (k1_relset_1(u1_struct_0(A), F)=C &  (r1_tarski(k2_relset_1(u1_struct_0(B), F), D) &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r2_tarski(G, C) => k1_binop_1(E, G, k1_funct_1(F, G))=k1_funct_1(F, G)) ) ) ) ) ) ) )  &  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (k1_relset_1(u1_struct_0(A), F)=C &  (r1_tarski(k2_relset_1(u1_struct_0(B), F), D) &  (k1_relset_1(u1_struct_0(A), G)=C &  (r1_tarski(k2_relset_1(u1_struct_0(B), G), D) &  ( (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (r2_tarski(H, C) => k1_binop_1(E, H, k1_funct_1(F, H))=k1_funct_1(F, H)) ) )  &  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (r2_tarski(H, C) => k1_binop_1(E, H, k1_funct_1(G, H))=k1_funct_1(G, H)) ) ) ) ) ) ) )  => r2_relset_1(u1_struct_0(A), u1_struct_0(B), F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_ndiff_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_prvect_3(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_prvect_3(A, B))) =>  (k6_ndiff_7(A, B, C)=k6_ndiff_7(A, B, D) => r2_funct_2(u1_struct_0(A), u1_struct_0(k7_prvect_3(A, B)), k1_ndiff_7(A, B, C), k1_ndiff_7(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t32_ndiff_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_prvect_3(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_prvect_3(A, B))) =>  (k5_ndiff_7(A, B, C)=k5_ndiff_7(A, B, D) => r2_funct_2(u1_struct_0(B), u1_struct_0(k7_prvect_3(A, B)), k2_ndiff_7(A, B, C), k2_ndiff_7(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t33_ndiff_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r2_tarski(D, k1_ndiff_8(A, C, B)) & r2_tarski(E, k1_ndiff_8(A, C, B)))  => r1_tarski(k1_rltopsp1(A, D, E), k1_ndiff_8(A, C, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_ndiff_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) &  (v3_lopban_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k7_prvect_3(A, C)))) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, C)), u1_struct_0(B)))))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(C)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k7_prvect_3(A, C))) =>  ~ ( (v3_nfcont_1(D, k7_prvect_3(A, C)) &  (k1_relset_1(u1_struct_0(k7_prvect_3(A, C)), E)=D &  (r3_nfcont_1(k7_prvect_3(A, C), B, E, D) &  (r4_ndiff_7(A, C, B, D, E) &  (r3_nfcont_1(k7_prvect_3(A, C), k16_lopban_1(C, B), k10_ndiff_7(A, C, B, D, E), D) &  (I=k4_tarski(F, G) &  (r2_tarski(I, D) &  (k1_binop_1(E, F, G)=H &  (v2_funct_1(k8_ndiff_7(A, C, B, I, E)) &  ( (v1_funct_1(k2_funct_1(k8_ndiff_7(A, C, B, I, E))) &  (v1_funct_2(k2_funct_1(k8_ndiff_7(A, C, B, I, E)), u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(k2_funct_1(k8_ndiff_7(A, C, B, I, E)), B, C) &  (v1_lopban_1(k2_funct_1(k8_ndiff_7(A, C, B, I, E)), B, C) &  (v2_lopban_1(k2_funct_1(k8_ndiff_7(A, C, B, I, E)), B, C) & m1_subset_1(k2_funct_1(k8_ndiff_7(A, C, B, I, E)), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) )  &  (! [J] :  (v1_xreal_0(J) =>  (! [K] :  (v1_xreal_0(K) =>  ~ ( ( ~ (r1_xxreal_0(J, k5_numbers))  &  ( ~ (r1_xxreal_0(K, k5_numbers))  &  (r1_tarski(k2_zfmisc_1(k1_lopban_5(A, F, J), k1_ndiff_8(C, G, K)), D) &  ( (! [L] :  (m1_subset_1(L, u1_struct_0(A)) =>  ~ ( (r2_tarski(L, k1_lopban_5(A, F, J)) &  (! [M] :  (m1_subset_1(M, u1_struct_0(C)) =>  ~ ( (r2_tarski(M, k1_ndiff_8(C, G, K)) & k1_binop_1(E, L, M)=H) ) ) ) ) ) ) )  &  ( (! [L] :  (m1_subset_1(L, u1_struct_0(A)) =>  (r2_tarski(L, k1_lopban_5(A, F, J)) =>  (! [M] :  (m1_subset_1(M, u1_struct_0(C)) =>  (! [N] :  (m1_subset_1(N, u1_struct_0(C)) =>  ( (r2_tarski(M, k1_ndiff_8(C, G, K)) &  (r2_tarski(N, k1_ndiff_8(C, G, K)) &  (k1_binop_1(E, L, M)=H & k1_binop_1(E, L, N)=H) ) )  => M=N) ) ) ) ) ) ) )  &  ( (? [L] :  ( (v1_funct_1(L) & m1_subset_1(L, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C)))))  &  (r3_nfcont_1(A, C, L, k1_lopban_5(A, F, J)) &  (k1_relset_1(u1_struct_0(A), L)=k1_lopban_5(A, F, J) &  (r1_tarski(k2_relset_1(u1_struct_0(C), L), k1_ndiff_8(C, G, K)) &  (k1_funct_1(L, F)=G &  (! [M] :  (m1_subset_1(M, u1_struct_0(A)) =>  (r2_tarski(M, k1_lopban_5(A, F, J)) => k1_binop_1(E, M, k1_funct_1(L, M))=H) ) ) ) ) ) ) ) )  &  (! [L] :  ( (v1_funct_1(L) & m1_subset_1(L, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C)))))  =>  (! [M] :  ( (v1_funct_1(M) & m1_subset_1(M, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C)))))  =>  ( (k1_relset_1(u1_struct_0(A), L)=k1_lopban_5(A, F, J) &  (r1_tarski(k2_relset_1(u1_struct_0(C), L), k1_ndiff_8(C, G, K)) &  ( (! [N] :  (m1_subset_1(N, u1_struct_0(A)) =>  (r2_tarski(N, k1_lopban_5(A, F, J)) => k1_binop_1(E, N, k1_funct_1(L, N))=H) ) )  &  (k1_relset_1(u1_struct_0(A), M)=k1_lopban_5(A, F, J) &  (r1_tarski(k2_relset_1(u1_struct_0(C), M), k1_ndiff_8(C, G, K)) &  (! [N] :  (m1_subset_1(N, u1_struct_0(A)) =>  (r2_tarski(N, k1_lopban_5(A, F, J)) => k1_binop_1(E, N, k1_funct_1(M, N))=H) ) ) ) ) ) ) )  => r2_relset_1(u1_struct_0(A), u1_struct_0(C), L, M)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_ndiff_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) &  (v3_lopban_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k7_prvect_3(A, C)))) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, C)), u1_struct_0(B)))))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(C)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k7_prvect_3(A, C))) =>  ~ ( (v3_nfcont_1(D, k7_prvect_3(A, C)) &  (k1_relset_1(u1_struct_0(k7_prvect_3(A, C)), E)=D &  (r3_nfcont_1(k7_prvect_3(A, C), B, E, D) &  (r4_ndiff_7(A, C, B, D, E) &  (r3_nfcont_1(k7_prvect_3(A, C), k16_lopban_1(C, B), k10_ndiff_7(A, C, B, D, E), D) &  (I=k4_tarski(F, G) &  (r2_tarski(I, D) &  (k1_binop_1(E, F, G)=H &  (v2_funct_1(k8_ndiff_7(A, C, B, I, E)) &  ( (v1_funct_1(k2_funct_1(k8_ndiff_7(A, C, B, I, E))) &  (v1_funct_2(k2_funct_1(k8_ndiff_7(A, C, B, I, E)), u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(k2_funct_1(k8_ndiff_7(A, C, B, I, E)), B, C) &  (v1_lopban_1(k2_funct_1(k8_ndiff_7(A, C, B, I, E)), B, C) &  (v2_lopban_1(k2_funct_1(k8_ndiff_7(A, C, B, I, E)), B, C) & m1_subset_1(k2_funct_1(k8_ndiff_7(A, C, B, I, E)), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) )  &  (! [J] :  (v1_xreal_0(J) =>  (! [K] :  (v1_xreal_0(K) =>  ~ ( ( ~ (r1_xxreal_0(J, k5_numbers))  &  ( ~ (r1_xxreal_0(K, k5_numbers))  &  (r1_tarski(k2_zfmisc_1(k1_lopban_5(A, F, J), k1_ndiff_8(C, G, K)), D) &  ( (! [L] :  (m1_subset_1(L, u1_struct_0(A)) =>  ~ ( (r2_tarski(L, k1_lopban_5(A, F, J)) &  (! [M] :  (m1_subset_1(M, u1_struct_0(C)) =>  ~ ( (r2_tarski(M, k1_lopban_5(C, G, K)) & k1_binop_1(E, L, M)=H) ) ) ) ) ) ) )  &  ( (! [L] :  (m1_subset_1(L, u1_struct_0(A)) =>  (r2_tarski(L, k1_lopban_5(A, F, J)) =>  (! [M] :  (m1_subset_1(M, u1_struct_0(C)) =>  (! [N] :  (m1_subset_1(N, u1_struct_0(C)) =>  ( (r2_tarski(M, k1_lopban_5(C, G, K)) &  (r2_tarski(N, k1_lopban_5(C, G, K)) &  (k1_binop_1(E, L, M)=H & k1_binop_1(E, L, N)=H) ) )  => M=N) ) ) ) ) ) ) )  &  ( (? [L] :  ( (v1_funct_1(L) & m1_subset_1(L, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C)))))  &  (r3_nfcont_1(A, C, L, k1_lopban_5(A, F, J)) &  (k1_relset_1(u1_struct_0(A), L)=k1_lopban_5(A, F, J) &  (r1_tarski(k2_relset_1(u1_struct_0(C), L), k1_lopban_5(C, G, K)) &  (k1_funct_1(L, F)=G &  (! [M] :  (m1_subset_1(M, u1_struct_0(A)) =>  (r2_tarski(M, k1_lopban_5(A, F, J)) => k1_binop_1(E, M, k1_funct_1(L, M))=H) ) ) ) ) ) ) ) )  &  (! [L] :  ( (v1_funct_1(L) & m1_subset_1(L, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C)))))  =>  (! [M] :  ( (v1_funct_1(M) & m1_subset_1(M, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C)))))  =>  ( (k1_relset_1(u1_struct_0(A), L)=k1_lopban_5(A, F, J) &  (r1_tarski(k2_relset_1(u1_struct_0(C), L), k1_lopban_5(C, G, K)) &  ( (! [N] :  (m1_subset_1(N, u1_struct_0(A)) =>  (r2_tarski(N, k1_lopban_5(A, F, J)) => k1_binop_1(E, N, k1_funct_1(L, N))=H) ) )  &  (k1_relset_1(u1_struct_0(A), M)=k1_lopban_5(A, F, J) &  (r1_tarski(k2_relset_1(u1_struct_0(C), M), k1_lopban_5(C, G, K)) &  (! [N] :  (m1_subset_1(N, u1_struct_0(A)) =>  (r2_tarski(N, k1_lopban_5(A, F, J)) => k1_binop_1(E, N, k1_funct_1(M, N))=H) ) ) ) ) ) ) )  => r2_relset_1(u1_struct_0(A), u1_struct_0(C), L, M)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_ndiff_8, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & v1_xreal_0(C)) )  => m1_subset_1(k1_ndiff_8(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(d1_ndiff_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) => k1_ndiff_8(A, B, C)=a_3_0_ndiff_8(A, B, C)) ) ) ) ) ) ).
fof(t17_ndiff_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) => k1_lopban_5(A, B, C)=a_3_1_ndiff_8(A, B, C)) ) ) ) ) ) ).
fof(t18_ndiff_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) => k1_ndiff_8(A, B, C)=a_3_2_ndiff_8(A, B, C)) ) ) ) ) ) ).
fof(t26_ndiff_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (v3_nfcont_1(B, A) & C=a_3_3_ndiff_8(A, B, D))  => v3_nfcont_1(C, A)) ) ) ) ) ) ) ) ) ).
fof(t27_ndiff_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (v3_nfcont_1(B, A) & C=a_3_4_ndiff_8(A, B, D))  => v3_nfcont_1(C, A)) ) ) ) ) ) ) ) ) ).
fof(t34_ndiff_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_nfcont_1(D, A, B) =>  (m1_nfcont_1(a_4_0_ndiff_8(A, B, C, D), A, k5_algstr_0(A, B, C)) & m1_nfcont_1(a_4_1_ndiff_8(A, B, C, D), A, k3_rlvect_1(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_ndiff_8, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_0_ndiff_8(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E & r1_xxreal_0(k2_normsp_0(B, k5_algstr_0(B, C, E)), D)) ) ) ) ) ) ).
fof(fraenkel_a_3_1_ndiff_8, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_1_ndiff_8(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E &  ~ (r1_xxreal_0(D, k2_normsp_0(B, k5_algstr_0(B, E, C)))) ) ) ) ) ) ) ).
fof(fraenkel_a_3_2_ndiff_8, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_2_ndiff_8(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E & r1_xxreal_0(k2_normsp_0(B, k5_algstr_0(B, E, C)), D)) ) ) ) ) ) ).
fof(fraenkel_a_3_3_ndiff_8, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_3_ndiff_8(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k3_rlvect_1(B, E, D) & r2_tarski(E, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_4_ndiff_8, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_4_ndiff_8(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k5_algstr_0(B, E, D) & r2_tarski(E, C)) ) ) ) ) ) ).
fof(fraenkel_a_4_0_ndiff_8, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) &  (m1_subset_1(D, u1_struct_0(B)) & m1_nfcont_1(E, B, C)) ) )  =>  (r2_hidden(A, a_4_0_ndiff_8(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (A=k5_algstr_0(B, F, D) & r2_tarski(F, E)) ) ) ) ) ) ).
fof(fraenkel_a_4_1_ndiff_8, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) &  (m1_subset_1(D, u1_struct_0(B)) & m1_nfcont_1(E, B, C)) ) )  =>  (r2_hidden(A, a_4_1_ndiff_8(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (A=k3_rlvect_1(B, F, D) & r2_tarski(F, E)) ) ) ) ) ) ).
fof(cc1_neckla_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k4_classes1(A)) => v1_finset_1(B)) ) ) ) ).
fof(cc2_neckla_2, axiom,  (! [A] :  (m1_subset_1(A, k13_classes2) => v1_finset_1(A)) ) ).
fof(rc1_neckla_2, axiom,  (? [A] :  (l1_orders_2(A) &  ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v1_orders_2(A) & v1_neckla_2(A)) ) ) ) ) ).
fof(fc1_neckla_2, axiom,  ~ (v1_xboole_0(k3_neckla_2)) ).
fof(fc2_neckla_2, axiom,  ~ (v1_xboole_0(k4_neckla_2)) ).
fof(t1_neckla_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  (! [C] :  ( (r2_tarski(B, A) & r2_tarski(C, A))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C))) => r2_tarski(D, A)) ) ) ) ) ) ) ).
fof(t2_neckla_2, axiom, u1_orders_2(k4_necklace(4))=k4_enumset1(k4_tarski(k5_numbers, 1), k4_tarski(1, k5_numbers), k4_tarski(1, 2), k4_tarski(2, 1), k4_tarski(2, 3), k4_tarski(3, 2))).
fof(t3_neckla_2, axiom,  (! [A] :  (r2_tarski(A, k13_classes2) => v1_finset_1(A)) ) ).
fof(d1_neckla_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (v1_neckla_2(A) <=>  ~ (r1_necklace(k4_necklace(4), A)) ) ) ) ).
fof(d2_neckla_2, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (l1_orders_2(B) =>  (! [C] :  ( (v1_orders_2(C) & l1_orders_2(C))  =>  (C=k1_neckla_2(A, B) <=>  (u1_struct_0(C)=k2_xboole_0(u1_struct_0(A), u1_struct_0(B)) & u1_orders_2(C)=k2_xboole_0(u1_orders_2(A), u1_orders_2(B))) ) ) ) ) ) ) ) ).
fof(d3_neckla_2, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (l1_orders_2(B) =>  (! [C] :  ( (v1_orders_2(C) & l1_orders_2(C))  =>  (C=k2_neckla_2(A, B) <=>  (u1_struct_0(C)=k2_xboole_0(u1_struct_0(A), u1_struct_0(B)) & u1_orders_2(C)=k2_xboole_0(k2_xboole_0(k2_xboole_0(u1_orders_2(A), u1_orders_2(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))) ) ) ) ) ) ) ) ).
fof(d4_neckla_2, axiom,  (! [A] :  (A=k3_neckla_2 <=>  (! [B] :  (r2_hidden(B, A) <=>  (? [C] :  ( (v1_orders_2(C) & l1_orders_2(C))  &  (B=C & r2_tarski(u1_struct_0(C), k13_classes2)) ) ) ) ) ) ) ).
fof(d5_neckla_2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k3_neckla_2)) =>  (A=k4_neckla_2 <=>  ( (! [B] :  ( (v1_orders_2(B) & l1_orders_2(B))  =>  ( (v3_card_1(u1_struct_0(B), 1) & r2_tarski(u1_struct_0(B), k13_classes2))  => r2_tarski(B, A)) ) )  &  ( (! [B] :  ( (v1_orders_2(B) & l1_orders_2(B))  =>  (! [C] :  ( (v1_orders_2(C) & l1_orders_2(C))  =>  ( (r1_xboole_0(u1_struct_0(B), u1_struct_0(C)) &  (r2_tarski(B, A) & r2_tarski(C, A)) )  =>  (r2_tarski(k1_neckla_2(B, C), A) & r2_tarski(k2_neckla_2(B, C), A)) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_neckla_2)) =>  ( ( (! [C] :  ( (v1_orders_2(C) & l1_orders_2(C))  =>  ( (v3_card_1(u1_struct_0(C), 1) & r2_tarski(u1_struct_0(C), k13_classes2))  => r2_tarski(C, B)) ) )  &  (! [C] :  ( (v1_orders_2(C) & l1_orders_2(C))  =>  (! [D] :  ( (v1_orders_2(D) & l1_orders_2(D))  =>  ( (r1_xboole_0(u1_struct_0(C), u1_struct_0(D)) &  (r2_tarski(C, B) & r2_tarski(D, B)) )  =>  (r2_tarski(k1_neckla_2(C, D), B) & r2_tarski(k2_neckla_2(C, D), B)) ) ) ) ) ) )  => r1_tarski(A, B)) ) ) ) ) ) ) ) ).
fof(t4_neckla_2, axiom,  (! [A] :  (r2_tarski(A, k4_neckla_2) =>  ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v1_orders_2(A) & l1_orders_2(A)) ) ) ) ) ).
fof(t5_neckla_2, axiom,  (! [A] :  (l1_orders_2(A) =>  (r2_tarski(A, k4_neckla_2) => r2_tarski(u1_struct_0(A), k13_classes2)) ) ) ).
fof(t6_neckla_2, axiom,  (! [A] :  ~ ( (r2_tarski(A, k4_neckla_2) &  ( ~ ( (v13_struct_0(A, 1) &  (v1_orders_2(A) & l1_orders_2(A)) ) )  &  (! [B] :  ( (v1_orders_2(B) & l1_orders_2(B))  =>  (! [C] :  ( (v1_orders_2(C) & l1_orders_2(C))  =>  ~ ( (r1_xboole_0(u1_struct_0(B), u1_struct_0(C)) &  (r2_tarski(B, k4_neckla_2) &  (r2_tarski(C, k4_neckla_2) &  (A=k1_neckla_2(B, C) | A=k2_neckla_2(B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_neckla_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) & l1_orders_2(A)) )  =>  (r2_tarski(A, k4_neckla_2) => v1_neckla_2(A)) ) ) ).
fof(dt_k1_neckla_2, axiom,  (! [A, B] :  ( (l1_orders_2(A) & l1_orders_2(B))  =>  (v1_orders_2(k1_neckla_2(A, B)) & l1_orders_2(k1_neckla_2(A, B))) ) ) ).
fof(dt_k2_neckla_2, axiom,  (! [A, B] :  ( (l1_orders_2(A) & l1_orders_2(B))  =>  (v1_orders_2(k2_neckla_2(A, B)) & l1_orders_2(k2_neckla_2(A, B))) ) ) ).
fof(dt_k4_neckla_2, axiom, m1_subset_1(k4_neckla_2, k1_zfmisc_1(k3_neckla_2))).
fof(cc1_neckla_3, axiom,  (! [A, B] :  ( (v1_zfmisc_1(A) & v1_zfmisc_1(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_zfmisc_1(C)) ) ) ) ).
fof(cc2_neckla_3, axiom,  (! [A] :  (v1_zfmisc_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (v1_zfmisc_1(B) &  (v1_relat_2(B) &  (v3_relat_2(B) &  (v7_relat_2(B) & v8_relat_2(B)) ) ) ) ) ) ) ) ).
fof(rc1_neckla_3, axiom,  (? [A] :  (l1_orders_2(A) &  ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v1_orders_2(A) &  (v1_necklace(A) & v3_necklace(A)) ) ) ) ) ) ).
fof(cc3_neckla_3, axiom,  (! [A] :  ( (v3_necklace(A) & l1_orders_2(A))  =>  (! [B] :  (m1_yellow_0(B, A) =>  (v4_yellow_0(B, A) =>  (v4_yellow_0(B, A) & v3_necklace(B)) ) ) ) ) ) ).
fof(cc4_neckla_3, axiom,  (! [A] :  ( (v1_necklace(A) & l1_orders_2(A))  =>  (! [B] :  (m1_yellow_0(B, A) =>  (v4_yellow_0(B, A) =>  (v4_yellow_0(B, A) & v1_necklace(B)) ) ) ) ) ) ).
fof(fc1_neckla_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  & l1_orders_2(B))  =>  ( ~ (v2_struct_0(k1_neckla_2(A, B)))  & v1_orders_2(k1_neckla_2(A, B))) ) ) ).
fof(fc2_neckla_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  & l1_orders_2(B))  =>  ( ~ (v2_struct_0(k2_neckla_2(A, B)))  & v1_orders_2(k2_neckla_2(A, B))) ) ) ).
fof(fc3_neckla_3, axiom,  (! [A, B] :  ( (l1_orders_2(A) &  ( ~ (v2_struct_0(B))  & l1_orders_2(B)) )  =>  ( ~ (v2_struct_0(k1_neckla_2(A, B)))  & v1_orders_2(k1_neckla_2(A, B))) ) ) ).
fof(fc4_neckla_3, axiom,  (! [A, B] :  ( (l1_orders_2(A) &  ( ~ (v2_struct_0(B))  & l1_orders_2(B)) )  =>  ( ~ (v2_struct_0(k2_neckla_2(A, B)))  & v1_orders_2(k2_neckla_2(A, B))) ) ) ).
fof(fc5_neckla_3, axiom,  (! [A, B] :  ( ( (v8_struct_0(A) & l1_orders_2(A))  &  (v8_struct_0(B) & l1_orders_2(B)) )  =>  (v8_struct_0(k1_neckla_2(A, B)) & v1_orders_2(k1_neckla_2(A, B))) ) ) ).
fof(fc6_neckla_3, axiom,  (! [A, B] :  ( ( (v8_struct_0(A) & l1_orders_2(A))  &  (v8_struct_0(B) & l1_orders_2(B)) )  =>  (v8_struct_0(k2_neckla_2(A, B)) & v1_orders_2(k2_neckla_2(A, B))) ) ) ).
fof(fc7_neckla_3, axiom,  (! [A, B] :  ( ( (v1_necklace(A) & l1_orders_2(A))  &  (v1_necklace(B) & l1_orders_2(B)) )  =>  (v1_orders_2(k1_neckla_2(A, B)) & v1_necklace(k1_neckla_2(A, B))) ) ) ).
fof(fc8_neckla_3, axiom,  (! [A, B] :  ( ( (v1_necklace(A) & l1_orders_2(A))  &  (v1_necklace(B) & l1_orders_2(B)) )  =>  (v1_orders_2(k2_neckla_2(A, B)) & v1_necklace(k2_neckla_2(A, B))) ) ) ).
fof(fc9_neckla_3, axiom,  (! [A, B] :  ( ( (v3_necklace(A) & l1_orders_2(A))  &  (v3_necklace(B) & l1_orders_2(B)) )  =>  (v1_orders_2(k1_neckla_2(A, B)) & v3_necklace(k1_neckla_2(A, B))) ) ) ).
fof(fc10_neckla_3, axiom,  (! [A] :  (l1_orders_2(A) =>  (v1_orders_2(k3_necklace(A)) & v3_necklace(k3_necklace(A))) ) ) ).
fof(fc11_neckla_3, axiom,  (! [A] :  ( (v1_necklace(A) & l1_orders_2(A))  =>  (v1_orders_2(k3_necklace(A)) & v1_necklace(k3_necklace(A))) ) ) ).
fof(cc5_neckla_3, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v7_struct_0(A) & v1_orders_2(A)) )  =>  ( ~ (v2_struct_0(A))  & v1_neckla_2(A)) ) ) ) ).
fof(cc6_neckla_3, axiom,  (! [A] :  (l1_orders_2(A) =>  (v2_struct_0(A) => v1_neckla_3(A)) ) ) ).
fof(cc7_neckla_3, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  & v16_waybel_0(A))  =>  ( ~ (v2_struct_0(A))  & v1_neckla_3(A)) ) ) ) ).
fof(cc8_neckla_3, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) & v1_neckla_3(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) & v16_waybel_0(A)) ) ) ) ) ) ).
fof(fc12_neckla_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  & m1_subset_1(B, u1_struct_0(A)))  =>  ~ (v1_xboole_0(k1_neckla_3(A, B))) ) ) ).
fof(t1_neckla_3, axiom,  (! [A] :  (! [B] : r2_relset_1(A, A, k2_partfun1(A, A, k6_partfun1(A), B), k8_subset_1(k2_zfmisc_1(A, A), k6_partfun1(A), k2_zfmisc_1(B, B)))) ) ).
fof(t2_neckla_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k6_partfun1(k2_enumset1(A, B, C, D))=k2_enumset1(k4_tarski(A, A), k4_tarski(B, B), k4_tarski(C, C), k4_tarski(D, D))) ) ) ) ).
fof(t3_neckla_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] : k2_zfmisc_1(k2_enumset1(A, B, C, D), k2_enumset1(E, F, G, H))=k2_xboole_0(k6_enumset1(k4_tarski(A, E), k4_tarski(A, F), k4_tarski(B, E), k4_tarski(B, F), k4_tarski(A, G), k4_tarski(A, H), k4_tarski(B, G), k4_tarski(B, H)), k6_enumset1(k4_tarski(C, E), k4_tarski(C, F), k4_tarski(D, E), k4_tarski(D, F), k4_tarski(C, G), k4_tarski(C, H), k4_tarski(D, G), k4_tarski(D, H)))) ) ) ) ) ) ) ) ).
fof(t4_neckla_3, axiom,  (! [A] :  (v1_zfmisc_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  ~ ( ( ~ (v1_xboole_0(B))  &  (! [C] :  ~ (B=k1_tarski(k4_tarski(C, C))) ) ) ) ) ) ) ) ).
fof(t5_neckla_3, axiom,  (! [A] :  (v3_card_1(A, 1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) => r3_relat_2(B, A)) ) ) ) ).
fof(t6_neckla_3, axiom,  (! [A] :  ( (v1_necklace(A) &  (v3_necklace(A) & l1_orders_2(A)) )  =>  ~ ( (k1_card_1(u1_struct_0(A))=2 &  (! [B] :  (! [C] :  ~ ( (u1_struct_0(A)=k2_tarski(B, C) &  (u1_orders_2(A)=k2_tarski(k4_tarski(B, C), k4_tarski(C, B)) | u1_orders_2(A)=k1_xboole_0) ) ) ) ) ) ) ) ) ).
fof(t7_neckla_3, axiom,  (! [A] :  ( (v3_necklace(A) & l1_orders_2(A))  =>  (! [B] :  ( (v3_necklace(B) & l1_orders_2(B))  =>  (r1_xboole_0(u1_struct_0(A), u1_struct_0(B)) => v3_necklace(k2_neckla_2(A, B))) ) ) ) ) ).
fof(t8_neckla_3, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (l1_orders_2(B) =>  (k1_neckla_2(A, B)=k1_neckla_2(B, A) & k2_neckla_2(A, B)=k2_neckla_2(B, A)) ) ) ) ) ).
fof(t9_neckla_3, axiom,  (! [A] :  ( (v3_necklace(A) & l1_orders_2(A))  =>  (! [B] :  (l1_orders_2(B) =>  (! [C] :  (l1_orders_2(C) =>  ( (A=k1_neckla_2(B, C) | A=k2_neckla_2(B, C))  =>  (v3_necklace(B) & v3_necklace(C)) ) ) ) ) ) ) ) ).
fof(t10_neckla_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (l1_orders_2(B) =>  (! [C] :  (l1_orders_2(C) =>  (r1_xboole_0(u1_struct_0(B), u1_struct_0(C)) =>  ( ( ~ (g1_orders_2(u1_struct_0(A), u1_orders_2(A))=k1_neckla_2(B, C))  &  ~ (g1_orders_2(u1_struct_0(A), u1_orders_2(A))=k2_neckla_2(B, C)) )  |  ( (v4_yellow_0(B, A) & m1_yellow_0(B, A))  &  (v4_yellow_0(C, A) & m1_yellow_0(C, A)) ) ) ) ) ) ) ) ) ) ).
fof(t11_neckla_3, axiom, u1_orders_2(k3_necklace(k4_necklace(4)))=k11_domain_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_domain_1(k4_ordinal1, k4_ordinal1, k5_numbers, 2), k1_domain_1(k4_ordinal1, k4_ordinal1, 2, k5_numbers), k1_domain_1(k4_ordinal1, k4_ordinal1, k5_numbers, 3), k1_domain_1(k4_ordinal1, k4_ordinal1, 3, k5_numbers), k1_domain_1(k4_ordinal1, k4_ordinal1, 1, 3), k1_domain_1(k4_ordinal1, k4_ordinal1, 3, 1))).
fof(t12_neckla_3, axiom,  (! [A] :  (l1_orders_2(A) => r1_xboole_0(u1_orders_2(A), u1_orders_2(k3_necklace(A)))) ) ).
fof(t13_neckla_3, axiom,  (! [A] :  (l1_orders_2(A) => r1_xboole_0(k6_partfun1(u1_struct_0(A)), u1_orders_2(k3_necklace(A)))) ) ).
fof(t14_neckla_3, axiom,  (! [A] :  (l1_orders_2(A) => k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))=k2_xboole_0(k3_eqrel_1(u1_struct_0(A), k6_partfun1(u1_struct_0(A)), u1_orders_2(A)), u1_orders_2(k3_necklace(A)))) ) ).
fof(t15_neckla_3, axiom,  (! [A] :  ( (v1_orders_2(A) &  (v3_necklace(A) & l1_orders_2(A)) )  =>  (v7_struct_0(A) => k3_necklace(A)=A) ) ) ).
fof(t16_neckla_3, axiom,  (! [A] :  ( (v1_orders_2(A) &  (v3_necklace(A) & l1_orders_2(A)) )  => k3_necklace(k3_necklace(A))=A) ) ).
fof(t17_neckla_3, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (l1_orders_2(B) =>  (r1_xboole_0(u1_struct_0(A), u1_struct_0(B)) => k3_necklace(k1_neckla_2(A, B))=k2_neckla_2(k3_necklace(A), k3_necklace(B))) ) ) ) ) ).
fof(t18_neckla_3, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (l1_orders_2(B) =>  (r1_xboole_0(u1_struct_0(A), u1_struct_0(B)) => k3_necklace(k2_neckla_2(A, B))=k1_neckla_2(k3_necklace(A), k3_necklace(B))) ) ) ) ) ).
fof(t19_neckla_3, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  ( (v4_yellow_0(B, A) & m1_yellow_0(B, A))  => u1_orders_2(k3_necklace(B))=k2_wellord1(u1_orders_2(k3_necklace(A)), u1_struct_0(k3_necklace(B)))) ) ) ) ).
fof(t20_neckla_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_necklace(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_necklace(A))) =>  (B=C => k3_necklace(k5_yellow_0(A, k7_subset_1(u1_struct_0(A), k2_struct_0(A), k6_domain_1(u1_struct_0(A), B))))=k5_yellow_0(k3_necklace(A), k7_subset_1(u1_struct_0(k3_necklace(A)), k2_struct_0(k3_necklace(A)), k6_domain_1(u1_struct_0(k3_necklace(A)), C)))) ) ) ) ) ) ) ).
fof(t21_neckla_3, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  (l1_orders_2(B) =>  ( (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_hidden(k4_tarski(D, E), u1_orders_2(A)) <=> r2_hidden(k4_tarski(k1_funct_1(C, D), k1_funct_1(C, E)), u1_orders_2(B))) ) ) ) ) ) )  <=> r1_necklace(A, B)) ) ) ) ) ).
fof(t22_neckla_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v4_yellow_0(B, A) & m1_yellow_0(B, A)) )  => r2_necklace(B, A)) ) ) ) ).
fof(t23_neckla_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v4_yellow_0(B, A) & m1_yellow_0(B, A)) )  =>  (v1_neckla_2(A) => v1_neckla_2(B)) ) ) ) ) ).
fof(t24_neckla_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_necklace(A) & l1_orders_2(A)) )  =>  (r2_necklace(k4_necklace(4), A) <=> r2_necklace(k4_necklace(4), k3_necklace(A))) ) ) ).
fof(t25_neckla_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_necklace(A) & l1_orders_2(A)) )  =>  (v1_neckla_2(A) <=> v1_neckla_2(k3_necklace(A))) ) ) ).
fof(d1_neckla_3, axiom,  (! [A] :  (l1_orders_2(A) =>  (v1_neckla_3(A) <=>  (! [B] :  (! [C] :  ~ ( (r2_tarski(B, u1_struct_0(A)) &  (r2_tarski(C, u1_struct_0(A)) &  ( ~ (B=C)  &  ( ~ (r1_rewrite1(u1_orders_2(A), B, C))  &  ~ (r1_rewrite1(u1_orders_2(A), C, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_neckla_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_rewrite1(u1_orders_2(A), B, C) => r2_tarski(k1_domain_1(u1_struct_0(A), u1_struct_0(A), B, C), u1_orders_2(A))) ) ) ) ) ) ) ).
fof(t27_neckla_3, axiom,  (! [A] :  ( (v1_necklace(A) & l1_orders_2(A))  =>  (! [B] :  (! [C] :  (r1_rewrite1(u1_orders_2(A), B, C) => r1_rewrite1(u1_orders_2(A), C, B)) ) ) ) ) ).
fof(d2_neckla_3, axiom,  (! [A] :  ( (v1_necklace(A) & l1_orders_2(A))  =>  (v1_neckla_3(A) <=>  (! [B] :  (! [C] :  ( (r2_tarski(B, u1_struct_0(A)) & r2_tarski(C, u1_struct_0(A)))  =>  (B=C | r1_rewrite1(u1_orders_2(A), B, C)) ) ) ) ) ) ) ).
fof(d3_neckla_3, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_neckla_3(A, B)=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k1_msualg_5(u1_struct_0(A), u1_orders_2(A)), B)) ) ) ) ).
fof(t28_neckla_3, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (r2_tarski(C, k1_neckla_3(A, B)) => r2_hidden(k4_tarski(B, C), k1_msualg_5(u1_struct_0(A), u1_orders_2(A)))) ) ) ) ) ) ).
fof(t29_neckla_3, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (C=k1_neckla_3(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=> r2_hidden(k4_tarski(B, D), k1_msualg_5(u1_struct_0(A), u1_orders_2(A)))) ) ) ) ) ) ) ) ).
fof(t30_neckla_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_necklace(A) &  (v3_necklace(A) & l1_orders_2(A)) ) )  =>  ~ ( ( ~ (v1_neckla_3(A))  &  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_orders_2(B) &  (v1_necklace(B) &  (v3_necklace(B) & l1_orders_2(B)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v1_orders_2(C) &  (v1_necklace(C) &  (v3_necklace(C) & l1_orders_2(C)) ) ) )  =>  ~ ( (r1_subset_1(u1_struct_0(B), u1_struct_0(C)) & g1_orders_2(u1_struct_0(A), u1_orders_2(A))=k1_neckla_2(B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t31_neckla_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_necklace(A) &  (v3_necklace(A) & l1_orders_2(A)) ) )  =>  ~ ( ( ~ (v1_neckla_3(k3_necklace(A)))  &  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_orders_2(B) &  (v1_necklace(B) &  (v3_necklace(B) & l1_orders_2(B)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v1_orders_2(C) &  (v1_necklace(C) &  (v3_necklace(C) & l1_orders_2(C)) ) ) )  =>  ~ ( (r1_subset_1(u1_struct_0(B), u1_struct_0(C)) & g1_orders_2(u1_struct_0(A), u1_orders_2(A))=k2_neckla_2(B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t32_neckla_3, axiom,  (! [A] :  ( (v3_necklace(A) & l1_orders_2(A))  =>  (r2_tarski(A, k4_neckla_2) => r2_tarski(k3_necklace(A), k4_neckla_2)) ) ) ).
fof(t33_neckla_3, axiom,  (! [A] :  ( (v1_necklace(A) &  (v3_necklace(A) & l1_orders_2(A)) )  =>  ( (k1_card_1(u1_struct_0(A))=2 & r2_tarski(u1_struct_0(A), k13_classes2))  => r2_tarski(g1_orders_2(u1_struct_0(A), u1_orders_2(A)), k4_neckla_2)) ) ) ).
fof(t34_neckla_3, axiom,  (! [A] :  (l1_orders_2(A) =>  (r2_tarski(A, k4_neckla_2) => v1_necklace(A)) ) ) ).
fof(t35_neckla_3, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_orders_2(C))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  ~ ( (A=k1_neckla_2(B, C) &  (r1_subset_1(u1_struct_0(B), u1_struct_0(C)) & r2_tarski(k1_domain_1(u1_struct_0(B), u1_struct_0(C), D, E), u1_orders_2(A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_neckla_3, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_orders_2(C))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  ~ ( (A=k2_neckla_2(B, C) & r2_tarski(k1_domain_1(u1_struct_0(B), u1_struct_0(C), D, E), u1_orders_2(k3_necklace(A)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_neckla_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_necklace(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_orders_2(C))  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l1_orders_2(D))  =>  ~ ( (r1_subset_1(u1_struct_0(C), u1_struct_0(D)) &  (k5_yellow_0(A, k7_subset_1(u1_struct_0(A), k2_struct_0(A), k6_domain_1(u1_struct_0(A), B)))=k1_neckla_2(C, D) &  (v1_neckla_3(A) &  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  ~ (r2_tarski(k1_domain_1(u1_struct_0(C), u1_struct_0(A), E, B), u1_orders_2(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_neckla_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_necklace(A) &  (v3_necklace(A) & l1_orders_2(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))) =>  ( (F=k9_domain_1(u1_struct_0(A), B, C, D, E) &  (r2_zfmisc_1(B, C, D, E) &  (r2_tarski(k1_domain_1(u1_struct_0(A), u1_struct_0(A), B, C), u1_orders_2(A)) &  (r2_tarski(k1_domain_1(u1_struct_0(A), u1_struct_0(A), C, D), u1_orders_2(A)) & r2_tarski(k1_domain_1(u1_struct_0(A), u1_struct_0(A), D, E), u1_orders_2(A))) ) ) )  =>  (r2_tarski(k1_domain_1(u1_struct_0(A), u1_struct_0(A), B, D), u1_orders_2(A)) |  (r2_tarski(k1_domain_1(u1_struct_0(A), u1_struct_0(A), B, E), u1_orders_2(A)) |  (r2_tarski(k1_domain_1(u1_struct_0(A), u1_struct_0(A), C, E), u1_orders_2(A)) | r1_necklace(k4_necklace(4), k5_yellow_0(A, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_neckla_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_necklace(A) &  (v3_necklace(A) & l1_orders_2(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_orders_2(C))  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l1_orders_2(D))  =>  ( (r1_subset_1(u1_struct_0(C), u1_struct_0(D)) &  (k5_yellow_0(A, k7_subset_1(u1_struct_0(A), k2_struct_0(A), k6_domain_1(u1_struct_0(A), B)))=k1_neckla_2(C, D) &  (v1_neckla_3(A) & v1_neckla_3(k3_necklace(A))) ) )  =>  (v7_struct_0(A) | r2_necklace(k4_necklace(4), A)) ) ) ) ) ) ) ) ) ) ).
fof(t40_neckla_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v1_orders_2(A) &  (v1_necklace(A) &  (v3_necklace(A) & l1_orders_2(A)) ) ) ) )  =>  ( (v1_neckla_2(A) & r2_tarski(u1_struct_0(A), k13_classes2))  => r2_tarski(g1_orders_2(u1_struct_0(A), u1_orders_2(A)), k4_neckla_2)) ) ) ).
fof(dt_k1_neckla_3, axiom,  (! [A, B] :  ( (l1_orders_2(A) & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k1_neckla_3(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(fc1_necklace, axiom,  (! [A] :  (v1_relat_1(k11_funct_3(A)) &  (v1_funct_1(k11_funct_3(A)) & v2_funct_1(k11_funct_3(A))) ) ) ).
fof(cc1_necklace, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_zfmisc_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) ) ) ) ).
fof(fc2_necklace, axiom,  (! [A] :  (l1_orders_2(A) =>  (v1_orders_2(k2_necklace(A)) & v1_necklace(k2_necklace(A))) ) ) ).
fof(rc1_necklace, axiom,  (? [A] :  (l1_orders_2(A) &  ( ~ (v2_struct_0(A))  & v1_necklace(A)) ) ) ).
fof(fc3_necklace, axiom,  (! [A] :  ( (v1_necklace(A) & l1_orders_2(A))  => v3_relat_2(u1_orders_2(A))) ) ).
fof(fc4_necklace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  ( ~ (v2_struct_0(k3_necklace(A)))  & v1_orders_2(k3_necklace(A))) ) ) ).
fof(fc5_necklace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_orders_2(k4_necklace(A)) & v1_necklace(k4_necklace(A))) ) ) ).
fof(fc6_necklace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_orders_2(k4_necklace(A)) & v3_necklace(k4_necklace(A))) ) ) ).
fof(fc7_necklace, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ( ~ (v2_struct_0(k4_necklace(A)))  & v1_orders_2(k4_necklace(A))) ) ) ).
fof(fc8_necklace, axiom,  (! [A] :  (v7_ordinal1(A) => v1_finset_1(u1_struct_0(k4_necklace(A)))) ) ).
fof(t1_necklace, axiom, 4=k2_enumset1(k5_numbers, 1, 2, 3)).
fof(t2_necklace, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] : k2_zfmisc_1(k1_enumset1(A, B, C), k1_enumset1(D, E, F))=k7_enumset1(k4_tarski(A, D), k4_tarski(A, E), k4_tarski(A, F), k4_tarski(B, D), k4_tarski(B, E), k4_tarski(B, F), k4_tarski(C, D), k4_tarski(C, E), k4_tarski(C, F))) ) ) ) ) ) ).
fof(t4_necklace, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => r2_tarski(k5_numbers, A)) ) ).
fof(t5_necklace, axiom,  (! [A] : k1_card_1(k6_partfun1(A))=k1_card_1(A)) ).
fof(t6_necklace, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)) => k10_xtuple_0(k1_funct_4(A, B))=k2_xboole_0(k10_xtuple_0(A), k10_xtuple_0(B))) ) ) ) ) ).
fof(t7_necklace, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v2_funct_1(B)) )  =>  ( (r1_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)) & r1_xboole_0(k10_xtuple_0(A), k10_xtuple_0(B)))  => k2_funct_1(k1_funct_4(A, B))=k1_funct_4(k2_funct_1(A), k2_funct_1(B))) ) ) ) ) ).
fof(t8_necklace, axiom,  (! [A] :  (! [B] :  (! [C] : k1_funct_4(k7_funcop_1(A, B), k7_funcop_1(A, C))=k7_funcop_1(A, C)) ) ) ).
fof(t9_necklace, axiom,  (! [A] :  (! [B] : k2_funct_1(k17_funcop_1(A, B))=k17_funcop_1(B, A)) ) ).
fof(t10_necklace, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ~ ( ( (A=B => C=D)  &  ( (C=D => A=B)  &  ~ (k2_funct_1(k6_funct_4(A, B, C, D))=k6_funct_4(C, D, A, B)) ) ) ) ) ) ) ) ).
fof(t11_necklace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(B, k5_card_1(C)) =>  (r1_xxreal_0(B, A) | r2_tarski(A, k5_card_1(C))) ) ) ) ) ) ) ) ).
fof(d1_necklace, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (l1_orders_2(B) =>  (r1_necklace(A, B) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  &  (v2_funct_1(C) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_hidden(k4_tarski(D, E), u1_orders_2(A)) <=> r2_hidden(k4_tarski(k1_funct_1(C, D), k1_funct_1(C, E)), u1_orders_2(B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_necklace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_orders_2(C))  =>  ( (r2_necklace(B, A) & r2_necklace(C, B))  => r2_necklace(C, A)) ) ) ) ) ) ) ).
fof(d2_necklace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  =>  (r3_necklace(A, B) <=>  (r2_necklace(B, A) & r2_necklace(A, B)) ) ) ) ) ) ).
fof(t13_necklace, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_orders_2(C))  =>  ( (r3_necklace(A, B) & r3_necklace(B, C))  => r3_necklace(A, C)) ) ) ) ) ) ) ).
fof(d3_necklace, axiom,  (! [A] :  (l1_orders_2(A) =>  (v1_necklace(A) <=> r3_relat_2(u1_orders_2(A), u1_struct_0(A))) ) ) ).
fof(d4_necklace, axiom,  (! [A] :  (l1_orders_2(A) =>  (v2_necklace(A) <=> v5_relat_2(u1_orders_2(A))) ) ) ).
fof(t14_necklace, axiom,  (! [A] :  (l1_orders_2(A) =>  (v2_necklace(A) => r1_xboole_0(u1_orders_2(A), k3_relset_1(u1_struct_0(A), u1_struct_0(A), u1_orders_2(A)))) ) ) ).
fof(d5_necklace, axiom,  (! [A] :  (l1_orders_2(A) =>  (v3_necklace(A) <=>  (! [B] :  ~ ( (r2_tarski(B, u1_struct_0(A)) & r2_hidden(k4_tarski(B, B), u1_orders_2(A))) ) ) ) ) ) ).
fof(t15_necklace, axiom,  (! [A] :  (v7_ordinal1(A) => v2_necklace(k1_necklace(A))) ) ).
fof(t16_necklace, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k1_card_1(u1_orders_2(k1_necklace(A)))=k6_xcmplx_0(A, 1)) ) ) ).
fof(d7_necklace, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  ( (v1_orders_2(B) & l1_orders_2(B))  =>  (B=k2_necklace(A) <=>  (u1_struct_0(B)=u1_struct_0(A) & u1_orders_2(B)=k4_subset_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_orders_2(A), k3_relset_1(u1_struct_0(A), u1_struct_0(A), u1_orders_2(A)))) ) ) ) ) ) ).
fof(d8_necklace, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  ( (v1_orders_2(B) & l1_orders_2(B))  =>  (B=k3_necklace(A) <=>  (u1_struct_0(B)=u1_struct_0(A) & u1_orders_2(B)=k7_subset_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k3_subset_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_orders_2(A)), k6_partfun1(u1_struct_0(A)))) ) ) ) ) ) ).
fof(t17_necklace, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (l1_orders_2(B) =>  (r5_waybel_1(A, B) => k1_card_1(u1_orders_2(A))=k1_card_1(u1_orders_2(B))) ) ) ) ) ).
fof(d9_necklace, axiom,  (! [A] :  (v7_ordinal1(A) => k4_necklace(A)=k2_necklace(k1_necklace(A))) ) ).
fof(t19_necklace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (r2_tarski(B, u1_orders_2(k4_necklace(A))) <=>  (? [C] :  (m1_subset_1(C, k4_ordinal1) &  ( ~ (r1_xxreal_0(A, k1_nat_1(C, 1)))  &  (B=k4_tarski(C, k1_nat_1(C, 1)) | B=k4_tarski(k1_nat_1(C, 1), C)) ) ) ) ) ) ) ) ).
fof(t20_necklace, axiom,  (! [A] :  (v7_ordinal1(A) => u1_struct_0(k4_necklace(A))=A) ) ).
fof(t21_necklace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(A, k1_nat_1(B, 1)))  => r2_hidden(k4_tarski(B, k1_nat_1(B, 1)), u1_orders_2(k4_necklace(A)))) ) ) ) ) ).
fof(t22_necklace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r2_tarski(B, u1_struct_0(k4_necklace(A))) & r1_xxreal_0(A, B)) ) ) ) ) ) ).
fof(t23_necklace, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ~ (v3_orders_3(k4_necklace(A))) ) ) ).
fof(t24_necklace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_hidden(k4_tarski(B, C), u1_orders_2(k4_necklace(A))) &  ( ~ (B=k1_nat_1(C, 1))  &  ~ (C=k1_nat_1(B, 1)) ) ) ) ) ) ) ) ) ) ).
fof(t25_necklace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r2_tarski(B, u1_struct_0(k4_necklace(A))) & r2_tarski(C, u1_struct_0(k4_necklace(A))))  =>  ( ( ~ (B=k1_nat_1(C, 1))  &  ~ (C=k1_nat_1(B, 1)) )  | r2_hidden(k4_tarski(B, C), u1_orders_2(k4_necklace(A)))) ) ) ) ) ) ) ) ).
fof(t27_necklace, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k4_card_1(u1_orders_2(k4_necklace(A)))=k3_xcmplx_0(2, k6_xcmplx_0(A, 1))) ) ) ).
fof(t28_necklace, axiom, r5_waybel_1(k4_necklace(1), k3_necklace(k4_necklace(1)))).
fof(t29_necklace, axiom, r5_waybel_1(k4_necklace(4), k3_necklace(k4_necklace(4)))).
fof(t30_necklace, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( (r5_waybel_1(k4_necklace(A), k3_necklace(k4_necklace(A))) &  ( ~ (A=k5_numbers)  &  ( ~ (A=1)  &  ~ (A=4) ) ) ) ) ) ) ).
fof(dt_f1_s1_necklace, axiom,  ~ (v1_xboole_0(f1_s1_necklace)) ).
fof(dt_f2_s1_necklace, axiom, v1_relat_1(f2_s1_necklace)).
fof(reflexivity_r2_necklace, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  &  ( ~ (v2_struct_0(B))  & l1_orders_2(B)) )  => r2_necklace(B, B)) ) ).
fof(redefinition_r2_necklace, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  &  ( ~ (v2_struct_0(B))  & l1_orders_2(B)) )  =>  (r2_necklace(A, B) <=> r1_necklace(A, B)) ) ) ).
fof(symmetry_r3_necklace, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  &  ( ~ (v2_struct_0(B))  & l1_orders_2(B)) )  =>  (r3_necklace(A, B) => r3_necklace(B, A)) ) ) ).
fof(reflexivity_r3_necklace, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  &  ( ~ (v2_struct_0(B))  & l1_orders_2(B)) )  => r3_necklace(A, A)) ) ).
fof(dt_k1_necklace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_orders_2(k1_necklace(A)) & l1_orders_2(k1_necklace(A))) ) ) ).
fof(dt_k2_necklace, axiom,  (! [A] :  (l1_orders_2(A) =>  (v1_orders_2(k2_necklace(A)) & l1_orders_2(k2_necklace(A))) ) ) ).
fof(dt_k3_necklace, axiom,  (! [A] :  (l1_orders_2(A) =>  (v1_orders_2(k3_necklace(A)) & l1_orders_2(k3_necklace(A))) ) ) ).
fof(dt_k4_necklace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_orders_2(k4_necklace(A)) & l1_orders_2(k4_necklace(A))) ) ) ).
fof(d6_necklace, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_orders_2(B) & l1_orders_2(B))  =>  (B=k1_necklace(A) <=>  (u1_struct_0(B)=A & u1_orders_2(B)=a_1_0_necklace(A)) ) ) ) ) ) ).
fof(t18_necklace, axiom,  (! [A] :  (v7_ordinal1(A) => u1_orders_2(k4_necklace(A))=k2_xboole_0(a_1_0_necklace(A), a_1_1_necklace(A))) ) ).
fof(t26_necklace, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k1_card_1(a_1_1_necklace(A))=k6_xcmplx_0(A, 1)) ) ) ).
fof(s1_necklace, axiom,  (f2_s1_necklace=a_0_0_necklace => k2_relat_1(f2_s1_necklace)=a_0_1_necklace) ).
fof(fraenkel_a_1_0_necklace, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_0_necklace(B)) <=>  (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (A=k4_tarski(C, k1_nat_1(C, 1)) &  ~ (r1_xxreal_0(B, k1_nat_1(C, 1))) ) ) ) ) ) ) ).
fof(fraenkel_a_1_1_necklace, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_1_necklace(B)) <=>  (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (A=k4_tarski(k1_nat_1(C, 1), C) &  ~ (r1_xxreal_0(B, k1_nat_1(C, 1))) ) ) ) ) ) ) ).
fof(fraenkel_a_0_0_necklace, axiom,  (! [A] :  (r2_hidden(A, a_0_0_necklace) <=>  (? [B] :  (m1_subset_1(B, f1_s1_necklace) &  (A=k4_tarski(f4_s1_necklace(B), f3_s1_necklace(B)) & p1_s1_necklace(B)) ) ) ) ) ).
fof(fraenkel_a_0_1_necklace, axiom,  (! [A] :  (r2_hidden(A, a_0_1_necklace) <=>  (? [B] :  (m1_subset_1(B, f1_s1_necklace) &  (A=k4_tarski(f3_s1_necklace(B), f4_s1_necklace(B)) & p1_s1_necklace(B)) ) ) ) ) ).
fof(cc1_nelson_1, axiom,  (! [A] :  (l4_robbins1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v10_robbins1(A) & v8_robbins3(A)) )  =>  ( ~ (v2_struct_0(A))  & v1_nelson_1(A)) ) ) ) ).
fof(cc2_nelson_1, axiom,  (! [A] :  (l4_robbins1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v8_robbins3(A) & v1_nelson_1(A)) )  =>  ( ~ (v2_struct_0(A))  & v10_robbins1(A)) ) ) ) ).
fof(cc3_nelson_1, axiom,  (! [A] :  (l4_robbins1(A) =>  ( ( ~ (v2_struct_0(A))  & v7_struct_0(A))  =>  ( ~ (v2_struct_0(A))  & v1_nelson_1(A)) ) ) ) ).
fof(rc1_nelson_1, axiom,  (? [A] :  (l4_robbins1(A) &  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) &  (v15_lattices(A) &  (v8_robbins3(A) & v1_nelson_1(A)) ) ) ) ) ) ) ).
fof(rc2_nelson_1, axiom,  (? [A] :  (l1_nelson_1(A) & v2_nelson_1(A)) ) ).
fof(rc3_nelson_1, axiom,  (? [A] :  (l1_nelson_1(A) &  ( ~ (v2_struct_0(A))  & v2_nelson_1(A)) ) ) ).
fof(rc4_nelson_1, axiom,  (? [A] :  (l1_nelson_1(A) &  ( ~ (v2_struct_0(A))  &  (v7_struct_0(A) &  (v10_lattices(A) &  (v11_lattices(A) &  (v15_lattices(A) &  (v8_robbins3(A) & v1_nelson_1(A)) ) ) ) ) ) ) ) ).
fof(cc4_nelson_1, axiom,  (! [A] :  (l1_nelson_1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) & v5_nelson_1(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) &  (v15_lattices(A) &  (v8_robbins3(A) & v1_nelson_1(A)) ) ) ) ) ) ) ) ).
fof(cc5_nelson_1, axiom,  (! [A] :  (l1_nelson_1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) &  (v15_lattices(A) &  (v8_robbins3(A) & v1_nelson_1(A)) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) & v5_nelson_1(A)) ) ) ) ) ) ).
fof(rc5_nelson_1, axiom,  (? [A] :  (l1_nelson_1(A) &  ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v10_lattices(A) &  (v13_lattices(A) &  (v14_lattices(A) &  (v15_lattices(A) &  (v1_robbins3(A) &  (v2_robbins3(A) &  (v3_robbins3(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) & v16_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc6_nelson_1, axiom,  (! [A] :  (l1_nelson_1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) & v16_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v8_robbins3(A) &  (v1_nelson_1(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) &  (v18_nelson_1(A) &  (v19_nelson_1(A) &  (v20_nelson_1(A) &  (v21_nelson_1(A) &  (v22_nelson_1(A) &  (v23_nelson_1(A) &  (v24_nelson_1(A) &  (v25_nelson_1(A) &  (v26_nelson_1(A) &  (v27_nelson_1(A) &  (v28_nelson_1(A) &  (v29_nelson_1(A) &  (v30_nelson_1(A) &  (v31_nelson_1(A) &  (v32_nelson_1(A) & v33_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_robbins1(A))  =>  (v1_nelson_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_robbins1(A, k2_lattices(A, B, C))=k1_lattices(A, k3_robbins1(A, B), k3_robbins1(A, C))) ) ) ) ) ) ) ).
fof(t1_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) &  (v15_lattices(A) &  (v8_robbins3(A) &  (v1_nelson_1(A) & l4_robbins1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_robbins1(A, k3_lattices(A, B, C))=k4_lattices(A, k3_robbins1(A, B), k3_robbins1(A, C))) ) ) ) ) ) ).
fof(t2_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) &  (v15_lattices(A) &  (v8_robbins3(A) &  (v1_nelson_1(A) & l4_robbins1(A)) ) ) ) ) )  => k3_robbins1(A, k6_lattices(A))=k5_lattices(A)) ) ).
fof(t3_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) &  (v15_lattices(A) &  (v8_robbins3(A) &  (v1_nelson_1(A) & l4_robbins1(A)) ) ) ) ) )  => k3_robbins1(A, k5_lattices(A))=k6_lattices(A)) ) ).
fof(t4_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) &  (v15_lattices(A) &  (v8_robbins3(A) &  (v1_nelson_1(A) & l4_robbins1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_lattices(A, B, k4_lattices(A, B, C))=k4_lattices(A, B, C)) ) ) ) ) ) ).
fof(t5_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) &  (v15_lattices(A) &  (v8_robbins3(A) &  (v1_nelson_1(A) & l4_robbins1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_lattices(A, B, k3_lattices(A, B, C))=k3_lattices(A, B, C)) ) ) ) ) ) ).
fof(d2_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_nelson_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_nelson_1(A, B, C)=k4_binop_1(u1_struct_0(A), u3_nelson_1(A), B, C)) ) ) ) ) ) ).
fof(d3_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_nelson_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_nelson_1(A, B, C) <=> k1_nelson_1(A, B, C)=k6_lattices(A)) ) ) ) ) ) ) ).
fof(d4_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_nelson_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_nelson_1(A, B, C) <=> B=k2_lattices(A, B, C)) ) ) ) ) ) ) ).
fof(d5_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_nelson_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_nelson_1(A, B)=k3_funct_2(u1_struct_0(A), u1_struct_0(A), u2_nelson_1(A), B)) ) ) ) ).
fof(d6_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_nelson_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_nelson_1(A, B, C)=k4_binop_1(u1_struct_0(A), u4_nelson_1(A), B, C)) ) ) ) ) ) ).
fof(d7_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_nelson_1(A))  =>  (v3_nelson_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_nelson_1(A, B, B)) ) ) ) ) ).
fof(d8_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_nelson_1(A))  =>  (v4_nelson_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_nelson_1(A, B, C) & r1_nelson_1(A, C, D))  => r1_nelson_1(A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(d9_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) & l1_nelson_1(A)) ) )  =>  (v5_nelson_1(A) <=>  (v1_nelson_1(A) &  (v8_robbins3(A) & v11_lattices(A)) ) ) ) ) ).
fof(d10_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_nelson_1(A))  =>  (v6_nelson_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_nelson_1(A, k2_lattices(A, C, B), D) <=> r1_nelson_1(A, B, k1_nelson_1(A, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(d11_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_nelson_1(A))  =>  (v7_nelson_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_nelson_1(A, B, C)=k2_lattices(A, k1_nelson_1(A, B, C), k1_nelson_1(A, k3_robbins1(A, C), k3_robbins1(A, B)))) ) ) ) ) ) ) ).
fof(d12_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_nelson_1(A))  =>  (v8_nelson_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k3_nelson_1(A, B, C)=k6_lattices(A) <=> k2_lattices(A, B, C)=B) ) ) ) ) ) ) ) ).
fof(d13_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_nelson_1(A))  =>  (v9_nelson_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_nelson_1(A, B, D) & r1_nelson_1(A, C, D))  => r1_nelson_1(A, k1_lattices(A, B, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(d14_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_nelson_1(A))  =>  (v10_nelson_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_nelson_1(A, B, C) & r1_nelson_1(A, B, D))  => r1_nelson_1(A, B, k2_lattices(A, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(d15_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_nelson_1(A))  =>  (v11_nelson_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_nelson_1(A, k2_lattices(A, B, k3_robbins1(A, C)), k3_robbins1(A, k1_nelson_1(A, B, C)))) ) ) ) ) ) ) ).
fof(d16_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_nelson_1(A))  =>  (v12_nelson_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_nelson_1(A, k3_robbins1(A, k1_nelson_1(A, B, C)), k2_lattices(A, B, k3_robbins1(A, C)))) ) ) ) ) ) ) ).
fof(d17_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_nelson_1(A))  =>  (v13_nelson_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_nelson_1(A, B, k3_robbins1(A, k2_nelson_1(A, B)))) ) ) ) ) ).
fof(d18_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_nelson_1(A))  =>  (v14_nelson_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_nelson_1(A, k3_robbins1(A, k2_nelson_1(A, B)), B)) ) ) ) ) ).
fof(d19_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_nelson_1(A))  =>  (v15_nelson_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_nelson_1(A, k2_lattices(A, B, k3_robbins1(A, B)), C)) ) ) ) ) ) ) ).
fof(d20_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_nelson_1(A))  =>  (v16_nelson_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_nelson_1(A, B)=k1_nelson_1(A, B, k3_robbins1(A, k6_lattices(A)))) ) ) ) ) ).
fof(d21_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v15_lattices(A) &  (v7_nelson_1(A) & l1_nelson_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_nelson_1(A, B, C)=k2_lattices(A, k1_nelson_1(A, B, C), k1_nelson_1(A, k3_robbins1(A, C), k3_robbins1(A, B)))) ) ) ) ) ) ).
fof(t6_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_lattices(A, B, C) <=> r2_nelson_1(A, B, C)) ) ) ) ) ) ) ).
fof(t7_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (r2_nelson_1(A, B, C) & r2_nelson_1(A, C, B))  <=> B=C) ) ) ) ) ) ) ).
fof(t8_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k4_lattices(A, B, C)=k6_lattices(A) <=>  (B=k6_lattices(A) & C=k6_lattices(A)) ) ) ) ) ) ) ) ).
fof(t9_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_nelson_1(A, B, C) <=>  (r1_nelson_1(A, B, C) & r1_nelson_1(A, k3_robbins1(A, C), k3_robbins1(A, B))) ) ) ) ) ) ) ) ).
fof(t10_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_nelson_1(A, k4_lattices(A, B, C), B)) ) ) ) ) ) ).
fof(t11_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_nelson_1(A, B, k3_lattices(A, B, C))) ) ) ) ) ) ).
fof(t12_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_nelson_1(A, B, C) <=> k3_nelson_1(A, B, C)=k6_lattices(A)) ) ) ) ) ) ) ).
fof(t13_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_robbins1(A, k4_lattices(A, B, C))=k3_lattices(A, k3_robbins1(A, B), k3_robbins1(A, C))) ) ) ) ) ) ).
fof(t14_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_lattices(A, k4_lattices(A, B, k3_robbins1(A, B)), k3_lattices(A, C, k3_robbins1(A, C)))=k4_lattices(A, B, k3_robbins1(A, B))) ) ) ) ) ) ).
fof(t15_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_nelson_1(A, B, C) & r2_nelson_1(A, C, D))  => r2_nelson_1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t16_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_nelson_1(A, C, D) =>  (r2_nelson_1(A, k3_lattices(A, B, C), k3_lattices(A, B, D)) & r2_nelson_1(A, k4_lattices(A, B, C), k4_lattices(A, B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t17_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_nelson_1(A, k3_lattices(A, k3_robbins1(A, B), C), k1_nelson_1(A, B, C))) ) ) ) ) ) ).
fof(t18_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_lattices(A, k1_nelson_1(A, B, C), k3_lattices(A, k3_robbins1(A, B), C))=k3_lattices(A, k3_robbins1(A, B), C)) ) ) ) ) ) ).
fof(t19_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_nelson_1(A, k3_lattices(A, k3_robbins1(A, B), C), k1_nelson_1(A, B, C))) ) ) ) ) ) ).
fof(t20_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_lattices(A, B, k1_nelson_1(A, B, C))=k4_lattices(A, B, k3_lattices(A, k3_robbins1(A, B), C))) ) ) ) ) ) ).
fof(t21_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_nelson_1(A, k3_robbins1(A, B), k3_robbins1(A, C)) => r1_nelson_1(A, k3_robbins1(A, k1_nelson_1(A, D, B)), k3_robbins1(A, k1_nelson_1(A, D, C)))) ) ) ) ) ) ) ) ) ).
fof(t22_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_nelson_1(A, C, D) => r1_nelson_1(A, k4_lattices(A, B, k1_nelson_1(A, B, C)), D)) ) ) ) ) ) ) ) ) ).
fof(t23_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_nelson_1(A, C, D) => r1_nelson_1(A, k1_nelson_1(A, B, C), k1_nelson_1(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t24_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_nelson_1(A, B, k4_lattices(A, C, D))=k4_lattices(A, k1_nelson_1(A, B, C), k1_nelson_1(A, B, D))) ) ) ) ) ) ) ) ).
fof(t25_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k3_nelson_1(A, B, B)=k6_lattices(A)) ) ) ) ).
fof(t26_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (k3_nelson_1(A, B, C)=k6_lattices(A) & k3_nelson_1(A, C, D)=k6_lattices(A))  => k3_nelson_1(A, B, D)=k6_lattices(A)) ) ) ) ) ) ) ) ) ).
fof(t27_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (k3_nelson_1(A, B, C)=k6_lattices(A) & k3_nelson_1(A, C, B)=k6_lattices(A))  => B=C) ) ) ) ) ) ) ).
fof(t28_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k3_nelson_1(A, B, k6_lattices(A))=k6_lattices(A)) ) ) ) ).
fof(t29_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_nelson_1(A, B, B)=k6_lattices(A)) ) ) ) ).
fof(t30_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (k1_nelson_1(A, B, C)=k6_lattices(A) & k1_nelson_1(A, C, D)=k6_lattices(A))  => k1_nelson_1(A, B, D)=k6_lattices(A)) ) ) ) ) ) ) ) ) ).
fof(t31_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_nelson_1(A, C, D) =>  (r1_nelson_1(A, k3_lattices(A, B, C), k3_lattices(A, B, D)) & r1_nelson_1(A, k4_lattices(A, B, C), k4_lattices(A, B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t32_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_nelson_1(A, B, C) & r1_nelson_1(A, D, E))  =>  (r1_nelson_1(A, k3_lattices(A, B, D), k3_lattices(A, C, E)) & r1_nelson_1(A, k4_lattices(A, B, D), k4_lattices(A, C, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_nelson_1(A, k4_lattices(A, B, k1_nelson_1(A, B, C)), C)) ) ) ) ) ) ).
fof(t34_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_nelson_1(A, B, k1_nelson_1(A, C, D))=k1_nelson_1(A, k4_lattices(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t35_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_nelson_1(A, B, k1_nelson_1(A, C, D))=k1_nelson_1(A, C, k1_nelson_1(A, B, D))) ) ) ) ) ) ) ) ).
fof(t36_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_nelson_1(A, B, k1_nelson_1(A, k1_nelson_1(A, B, C), C))) ) ) ) ) ) ).
fof(t37_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_nelson_1(A, B, k1_nelson_1(A, C, k4_lattices(A, B, C)))) ) ) ) ) ) ).
fof(t38_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_nelson_1(A, k4_lattices(A, B, k3_robbins1(A, B)), k3_lattices(A, C, k3_robbins1(A, C)))) ) ) ) ) ) ).
fof(t39_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_nelson_1(A, B, k3_nelson_1(A, C, k4_lattices(A, B, C)))) ) ) ) ) ) ).
fof(t40_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_nelson_1(A, B, k2_nelson_1(A, C))=k1_nelson_1(A, C, k2_nelson_1(A, B))) ) ) ) ) ) ).
fof(t41_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_nelson_1(A, B, k6_lattices(A))=k6_lattices(A)) ) ) ) ).
fof(t42_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_nelson_1(A, k5_lattices(A), B)=k6_lattices(A)) ) ) ) ).
fof(t43_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_nelson_1(A, k6_lattices(A), B)=B) ) ) ) ).
fof(t44_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (B=k6_lattices(A) & k1_nelson_1(A, B, C)=k6_lattices(A))  => C=k6_lattices(A)) ) ) ) ) ) ) ).
fof(t45_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_nelson_1(A, B, k1_nelson_1(A, C, B))=k6_lattices(A)) ) ) ) ) ) ).
fof(t46_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_nelson_1(A, k1_nelson_1(A, B, k1_nelson_1(A, C, D)), k1_nelson_1(A, k1_nelson_1(A, B, C), k1_nelson_1(A, B, D)))=k6_lattices(A)) ) ) ) ) ) ) ) ).
fof(t47_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_nelson_1(A, B, k3_lattices(A, B, C))=k6_lattices(A)) ) ) ) ) ) ).
fof(t48_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_nelson_1(A, C, k3_lattices(A, B, C))=k6_lattices(A)) ) ) ) ) ) ).
fof(t49_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_nelson_1(A, k1_nelson_1(A, B, D), k1_nelson_1(A, k1_nelson_1(A, C, D), k1_nelson_1(A, k3_lattices(A, B, C), D)))=k6_lattices(A)) ) ) ) ) ) ) ) ).
fof(t50_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_nelson_1(A, k4_lattices(A, B, C), B)=k6_lattices(A)) ) ) ) ) ) ).
fof(t51_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_nelson_1(A, k4_lattices(A, B, C), C)=k6_lattices(A)) ) ) ) ) ) ).
fof(t52_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_nelson_1(A, k1_nelson_1(A, B, C), k1_nelson_1(A, k1_nelson_1(A, B, D), k1_nelson_1(A, B, k4_lattices(A, C, D))))=k6_lattices(A)) ) ) ) ) ) ) ) ).
fof(t53_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_nelson_1(A, k1_nelson_1(A, B, k2_nelson_1(A, C)), k1_nelson_1(A, C, k2_nelson_1(A, B)))=k6_lattices(A)) ) ) ) ) ) ).
fof(t54_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_nelson_1(A, k2_nelson_1(A, k1_nelson_1(A, B, B)), C)=k6_lattices(A)) ) ) ) ) ) ).
fof(t55_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_nelson_1(A, k3_robbins1(A, B), k1_nelson_1(A, B, C))=k6_lattices(A)) ) ) ) ) ) ).
fof(t56_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_lattices(A, k1_nelson_1(A, k3_robbins1(A, k1_nelson_1(A, B, C)), k4_lattices(A, B, k3_robbins1(A, C))), k1_nelson_1(A, k4_lattices(A, B, k3_robbins1(A, C)), k3_robbins1(A, k1_nelson_1(A, B, C))))=k6_lattices(A)) ) ) ) ) ) ).
fof(t57_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k4_lattices(A, k1_nelson_1(A, k3_robbins1(A, k2_nelson_1(A, B)), B), k1_nelson_1(A, B, k3_robbins1(A, k2_nelson_1(A, B))))=k6_lattices(A)) ) ) ) ).
fof(t58_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k3_robbins1(A, k3_robbins1(A, B))=B) ) ) ) ).
fof(t59_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_robbins1(A, k3_lattices(A, B, C))=k4_lattices(A, k3_robbins1(A, B), k3_robbins1(A, C))) ) ) ) ) ) ).
fof(t60_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_robbins1(A, k4_lattices(A, B, C))=k3_lattices(A, k3_robbins1(A, B), k3_robbins1(A, C))) ) ) ) ) ) ).
fof(t61_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_nelson_1(A, B, C) =>  (r1_nelson_1(A, k1_nelson_1(A, C, D), k1_nelson_1(A, B, D)) & r1_nelson_1(A, k1_nelson_1(A, D, B), k1_nelson_1(A, D, C))) ) ) ) ) ) ) ) ) ) ).
fof(t62_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k1_nelson_1(A, k1_nelson_1(A, B, C), k1_nelson_1(A, k1_nelson_1(A, D, E), k1_nelson_1(A, k4_lattices(A, B, D), k4_lattices(A, C, E))))=k6_lattices(A)) ) ) ) ) ) ) ) ) ) ).
fof(t63_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k1_nelson_1(A, k1_nelson_1(A, B, C), k1_nelson_1(A, k1_nelson_1(A, D, E), k1_nelson_1(A, k3_lattices(A, B, D), k3_lattices(A, C, E))))=k6_lattices(A)) ) ) ) ) ) ) ) ) ) ).
fof(t64_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k1_nelson_1(A, k1_nelson_1(A, C, B), k1_nelson_1(A, k1_nelson_1(A, D, E), k1_nelson_1(A, k1_nelson_1(A, B, D), k1_nelson_1(A, C, E))))=k6_lattices(A)) ) ) ) ) ) ) ) ) ) ).
fof(d22_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_nelson_1(A))  =>  (v17_nelson_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_nelson_1(A, B, C) <=> k3_nelson_1(A, B, C)=k6_lattices(A)) ) ) ) ) ) ) ) ).
fof(d23_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_nelson_1(A))  =>  (v18_nelson_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_nelson_1(A, B, k1_nelson_1(A, C, B))=k6_lattices(A)) ) ) ) ) ) ) ).
fof(d24_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_nelson_1(A))  =>  (v19_nelson_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_nelson_1(A, k1_nelson_1(A, B, k1_nelson_1(A, C, D)), k1_nelson_1(A, k1_nelson_1(A, B, C), k1_nelson_1(A, B, D)))=k6_lattices(A)) ) ) ) ) ) ) ) ) ).
fof(d25_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_nelson_1(A))  =>  (v20_nelson_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_nelson_1(A, k6_lattices(A), B)=B) ) ) ) ) ).
fof(d26_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_nelson_1(A))  =>  (v21_nelson_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_nelson_1(A, k3_nelson_1(A, B, C), k1_nelson_1(A, k3_nelson_1(A, C, B), C))=k1_nelson_1(A, k3_nelson_1(A, C, B), k1_nelson_1(A, k3_nelson_1(A, B, C), B))) ) ) ) ) ) ) ).
fof(d27_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_nelson_1(A))  =>  (v22_nelson_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_nelson_1(A, B, k1_lattices(A, B, C))=k6_lattices(A)) ) ) ) ) ) ) ).
fof(d28_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_nelson_1(A))  =>  (v23_nelson_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_nelson_1(A, C, k1_lattices(A, B, C))=k6_lattices(A)) ) ) ) ) ) ) ).
fof(d29_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_nelson_1(A))  =>  (v24_nelson_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_nelson_1(A, k1_nelson_1(A, B, D), k1_nelson_1(A, k1_nelson_1(A, C, D), k1_nelson_1(A, k1_lattices(A, B, C), D)))=k6_lattices(A)) ) ) ) ) ) ) ) ) ).
fof(d30_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_nelson_1(A))  =>  (v25_nelson_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_nelson_1(A, k2_lattices(A, B, C), B)=k6_lattices(A)) ) ) ) ) ) ) ).
fof(d31_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_nelson_1(A))  =>  (v26_nelson_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_nelson_1(A, k2_lattices(A, B, C), C)=k6_lattices(A)) ) ) ) ) ) ) ).
fof(d32_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_nelson_1(A))  =>  (v27_nelson_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_nelson_1(A, k1_nelson_1(A, B, C), k1_nelson_1(A, k1_nelson_1(A, B, D), k1_nelson_1(A, B, k2_lattices(A, C, D))))=k6_lattices(A)) ) ) ) ) ) ) ) ) ).
fof(d33_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_nelson_1(A))  =>  (v28_nelson_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_nelson_1(A, k1_nelson_1(A, B, k2_nelson_1(A, C)), k1_nelson_1(A, C, k2_nelson_1(A, B)))=k6_lattices(A)) ) ) ) ) ) ) ).
fof(d34_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_nelson_1(A))  =>  (v29_nelson_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_nelson_1(A, k2_nelson_1(A, k1_nelson_1(A, B, B)), C)=k6_lattices(A)) ) ) ) ) ) ) ).
fof(d35_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_nelson_1(A))  =>  (v30_nelson_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_nelson_1(A, k3_robbins1(A, B), k1_nelson_1(A, B, C))=k6_lattices(A)) ) ) ) ) ) ) ).
fof(d36_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_nelson_1(A))  =>  (v31_nelson_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_lattices(A, k1_nelson_1(A, k3_robbins1(A, k1_nelson_1(A, B, C)), k2_lattices(A, B, k3_robbins1(A, C))), k1_nelson_1(A, k2_lattices(A, B, k3_robbins1(A, C)), k3_robbins1(A, k1_nelson_1(A, B, C))))=k6_lattices(A)) ) ) ) ) ) ) ).
fof(d37_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_nelson_1(A))  =>  (v32_nelson_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_robbins1(A, k1_lattices(A, B, C))=k2_lattices(A, k3_robbins1(A, B), k3_robbins1(A, C))) ) ) ) ) ) ) ).
fof(d38_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_nelson_1(A))  =>  (v33_nelson_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_lattices(A, k1_nelson_1(A, k3_robbins1(A, k2_nelson_1(A, B)), B), k1_nelson_1(A, B, k3_robbins1(A, k2_nelson_1(A, B))))=k6_lattices(A)) ) ) ) ) ).
fof(t65_nelson_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_nelson_1(A))  =>  (v17_nelson_1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v15_lattices(A) &  (v3_nelson_1(A) &  (v4_nelson_1(A) &  (v5_nelson_1(A) &  (v6_nelson_1(A) &  (v7_nelson_1(A) &  (v8_nelson_1(A) &  (v9_nelson_1(A) &  (v10_nelson_1(A) &  (v11_nelson_1(A) &  (v12_nelson_1(A) &  (v13_nelson_1(A) &  (v14_nelson_1(A) &  (v15_nelson_1(A) &  (v16_nelson_1(A) & l1_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  <=>  (v18_nelson_1(A) &  (v19_nelson_1(A) &  (v20_nelson_1(A) &  (v7_nelson_1(A) &  (v21_nelson_1(A) &  (v22_nelson_1(A) &  (v23_nelson_1(A) &  (v24_nelson_1(A) &  (v25_nelson_1(A) &  (v26_nelson_1(A) &  (v27_nelson_1(A) &  (v28_nelson_1(A) &  (v29_nelson_1(A) &  (v30_nelson_1(A) &  (v31_nelson_1(A) &  (v1_nelson_1(A) &  (v32_nelson_1(A) &  (v8_robbins3(A) & v33_nelson_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(abstractness_v2_nelson_1, axiom,  (! [A] :  (l1_nelson_1(A) =>  (v2_nelson_1(A) => A=g1_nelson_1(u1_struct_0(A), u1_nelson_1(A), u1_robbins1(A), u2_nelson_1(A), u3_nelson_1(A), u4_nelson_1(A), u2_lattices(A), u1_lattices(A))) ) ) ).
fof(dt_l1_nelson_1, axiom,  (! [A] :  (l1_nelson_1(A) => l4_robbins1(A)) ) ).
fof(existence_l1_nelson_1, axiom,  (? [A] : l1_nelson_1(A)) ).
fof(dt_g1_nelson_1, axiom,  (! [A, B, C, D, E, F, G, H] :  ( (m1_subset_1(B, A) &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, A, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, A), A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(A, A), A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(A, A), A) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (v1_funct_1(H) &  (v1_funct_2(H, k2_zfmisc_1(A, A), A) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) ) ) ) ) ) )  =>  (v2_nelson_1(g1_nelson_1(A, B, C, D, E, F, G, H)) & l1_nelson_1(g1_nelson_1(A, B, C, D, E, F, G, H))) ) ) ).
fof(free_g1_nelson_1, axiom,  (! [A, B, C, D, E, F, G, H] :  ( (m1_subset_1(B, A) &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, A, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, A), A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(A, A), A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(A, A), A) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (v1_funct_1(H) &  (v1_funct_2(H, k2_zfmisc_1(A, A), A) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) ) ) ) ) ) )  =>  (! [I, J, K, L, M, N, O, P] :  (g1_nelson_1(A, B, C, D, E, F, G, H)=g1_nelson_1(I, J, K, L, M, N, O, P) =>  (A=I &  (B=J &  (C=K &  (D=L &  (E=M &  (F=N &  (G=O & H=P) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_u1_nelson_1, axiom,  (! [A] :  (l1_nelson_1(A) => m1_subset_1(u1_nelson_1(A), u1_struct_0(A))) ) ).
fof(dt_u2_nelson_1, axiom,  (! [A] :  (l1_nelson_1(A) =>  (v1_funct_1(u2_nelson_1(A)) &  (v1_funct_2(u2_nelson_1(A), u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(u2_nelson_1(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ).
fof(dt_u3_nelson_1, axiom,  (! [A] :  (l1_nelson_1(A) =>  (v1_funct_1(u3_nelson_1(A)) &  (v1_funct_2(u3_nelson_1(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(u3_nelson_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(dt_u4_nelson_1, axiom,  (! [A] :  (l1_nelson_1(A) =>  (v1_funct_1(u4_nelson_1(A)) &  (v1_funct_2(u4_nelson_1(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(u4_nelson_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(dt_k1_nelson_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_nelson_1(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k1_nelson_1(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k2_nelson_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_nelson_1(A))  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k2_nelson_1(A, B), u1_struct_0(A))) ) ).
fof(dt_k3_nelson_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_nelson_1(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k3_nelson_1(A, B, C), u1_struct_0(A))) ) ).
fof(fc1_net_1, axiom,  (! [A] :  (l1_petri(A) => v1_relat_1(k1_net_1(A))) ) ).
fof(fc2_net_1, axiom,  (v1_petri(g1_petri(k1_xboole_0, k1_xboole_0, k1_partit_2(k1_xboole_0, k1_xboole_0), k1_partit_2(k1_xboole_0, k1_xboole_0))) & v1_net_1(g1_petri(k1_xboole_0, k1_xboole_0, k1_partit_2(k1_xboole_0, k1_xboole_0), k1_partit_2(k1_xboole_0, k1_xboole_0)))) ).
fof(rc1_net_1, axiom,  (? [A] :  (l1_petri(A) &  (v1_petri(A) & v1_net_1(A)) ) ) ).
fof(d1_net_1, axiom,  (! [A] :  (l1_petri(A) => k1_net_1(A)=k2_xboole_0(u1_petri(A), u2_petri(A))) ) ).
fof(d2_net_1, axiom,  (! [A] :  (l1_petri(A) =>  (v1_net_1(A) <=>  (r1_xboole_0(u1_struct_0(A), u4_struct_0(A)) & r1_tarski(k1_net_1(A), k2_xboole_0(k2_zfmisc_1(u1_struct_0(A), u4_struct_0(A)), k2_zfmisc_1(u4_struct_0(A), u1_struct_0(A))))) ) ) ) ).
fof(d3_net_1, axiom,  (! [A] :  (l1_petri(A) => k2_net_1(A)=k2_xboole_0(u1_struct_0(A), u4_struct_0(A))) ) ).
fof(t1_net_1, axiom,  (! [A] :  (! [B] :  (l1_petri(B) =>  ~ ( ( ~ (k2_net_1(B)=k1_xboole_0)  &  (m1_subset_1(A, k2_net_1(B)) &  ( ~ (m1_subset_1(A, u1_struct_0(B)))  &  ~ (m1_subset_1(A, u4_struct_0(B))) ) ) ) ) ) ) ) ).
fof(t2_net_1, axiom,  (! [A] :  (! [B] :  (l1_petri(B) =>  (m1_subset_1(A, u1_struct_0(B)) =>  (u1_struct_0(B)=k1_xboole_0 | m1_subset_1(A, k2_net_1(B))) ) ) ) ) ).
fof(t3_net_1, axiom,  (! [A] :  (! [B] :  (l1_petri(B) =>  (m1_subset_1(A, u4_struct_0(B)) =>  (u4_struct_0(B)=k1_xboole_0 | m1_subset_1(A, k2_net_1(B))) ) ) ) ) ).
fof(t4_net_1, axiom,  (! [A] :  (! [B] :  ( (v1_net_1(B) & l1_petri(B))  =>  ~ ( (r2_tarski(A, u1_struct_0(B)) & r2_tarski(A, u4_struct_0(B))) ) ) ) ) ).
fof(t5_net_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_net_1(C) & l1_petri(C))  =>  ( (r2_hidden(k4_tarski(A, B), k1_net_1(C)) & r2_tarski(A, u4_struct_0(C)))  => r2_tarski(B, u1_struct_0(C))) ) ) ) ) ).
fof(t6_net_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_net_1(C) & l1_petri(C))  =>  ( (r2_hidden(k4_tarski(A, B), k1_net_1(C)) & r2_tarski(B, u4_struct_0(C)))  => r2_tarski(A, u1_struct_0(C))) ) ) ) ) ).
fof(t7_net_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_net_1(C) & l1_petri(C))  =>  ( (r2_hidden(k4_tarski(A, B), k1_net_1(C)) & r2_tarski(A, u1_struct_0(C)))  => r2_tarski(B, u4_struct_0(C))) ) ) ) ) ).
fof(t8_net_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_net_1(C) & l1_petri(C))  =>  ( (r2_hidden(k4_tarski(A, B), k1_net_1(C)) & r2_tarski(B, u1_struct_0(C)))  => r2_tarski(A, u4_struct_0(C))) ) ) ) ) ).
fof(d4_net_1, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (! [B] :  (! [C] :  (r1_net_1(A, B, C) <=>  (r2_hidden(k4_tarski(C, B), k1_net_1(A)) & r2_tarski(B, u4_struct_0(A))) ) ) ) ) ) ).
fof(d5_net_1, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (! [B] :  (! [C] :  (r2_net_1(A, B, C) <=>  (r2_hidden(k4_tarski(B, C), k1_net_1(A)) & r2_tarski(B, u4_struct_0(A))) ) ) ) ) ) ).
fof(d6_net_1, axiom,  (! [A] :  (l1_petri(A) =>  (! [B] :  (m1_subset_1(B, k2_net_1(A)) =>  (! [C] :  (C=k3_net_1(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (r2_hidden(D, k2_net_1(A)) & r2_hidden(k4_tarski(D, B), k1_net_1(A))) ) ) ) ) ) ) ) ) ).
fof(d7_net_1, axiom,  (! [A] :  (l1_petri(A) =>  (! [B] :  (m1_subset_1(B, k2_net_1(A)) =>  (! [C] :  (C=k4_net_1(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (r2_hidden(D, k2_net_1(A)) & r2_hidden(k4_tarski(B, D), k1_net_1(A))) ) ) ) ) ) ) ) ) ).
fof(t9_net_1, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (! [B] :  (m1_subset_1(B, k2_net_1(A)) => r1_tarski(k3_net_1(A, B), k2_net_1(A))) ) ) ) ).
fof(t10_net_1, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (! [B] :  (m1_subset_1(B, k2_net_1(A)) => r1_tarski(k3_net_1(A, B), k2_net_1(A))) ) ) ) ).
fof(t11_net_1, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (! [B] :  (m1_subset_1(B, k2_net_1(A)) => r1_tarski(k4_net_1(A, B), k2_net_1(A))) ) ) ) ).
fof(t12_net_1, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (! [B] :  (m1_subset_1(B, k2_net_1(A)) => r1_tarski(k4_net_1(A, B), k2_net_1(A))) ) ) ) ).
fof(t13_net_1, axiom,  (! [A] :  (! [B] :  ( (v1_net_1(B) & l1_petri(B))  =>  (! [C] :  (m1_subset_1(C, k2_net_1(B)) =>  (r2_tarski(C, u4_struct_0(B)) =>  (r2_tarski(A, k3_net_1(B, C)) <=> r1_net_1(B, C, A)) ) ) ) ) ) ) ).
fof(t14_net_1, axiom,  (! [A] :  (! [B] :  ( (v1_net_1(B) & l1_petri(B))  =>  (! [C] :  (m1_subset_1(C, k2_net_1(B)) =>  (r2_tarski(C, u4_struct_0(B)) =>  (r2_tarski(A, k4_net_1(B, C)) <=> r2_net_1(B, C, A)) ) ) ) ) ) ) ).
fof(d8_net_1, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (! [B] :  (m1_subset_1(B, k2_net_1(A)) =>  ( ~ (k2_net_1(A)=k1_xboole_0)  =>  (! [C] :  (C=k5_net_1(A, B) <=>  ( (r2_tarski(B, u1_struct_0(A)) => C=k1_tarski(B))  &  (r2_tarski(B, u4_struct_0(A)) => C=k3_net_1(A, B)) ) ) ) ) ) ) ) ) ).
fof(t15_net_1, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (! [B] :  (m1_subset_1(B, k2_net_1(A)) =>  ~ ( ( ~ (k2_net_1(A)=k1_xboole_0)  &  ( ~ (k5_net_1(A, B)=k1_tarski(B))  &  ~ (k5_net_1(A, B)=k3_net_1(A, B)) ) ) ) ) ) ) ) ).
fof(t16_net_1, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (! [B] :  (m1_subset_1(B, k2_net_1(A)) =>  ( ~ (k2_net_1(A)=k1_xboole_0)  => r1_tarski(k5_net_1(A, B), k2_net_1(A))) ) ) ) ) ).
fof(t17_net_1, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (! [B] :  (m1_subset_1(B, k2_net_1(A)) =>  ( ~ (k2_net_1(A)=k1_xboole_0)  => r1_tarski(k5_net_1(A, B), k2_net_1(A))) ) ) ) ) ).
fof(d9_net_1, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (! [B] :  (m1_subset_1(B, k2_net_1(A)) =>  ( ~ (k2_net_1(A)=k1_xboole_0)  =>  (! [C] :  (C=k6_net_1(A, B) <=>  ( (r2_tarski(B, u1_struct_0(A)) => C=k1_tarski(B))  &  (r2_tarski(B, u4_struct_0(A)) => C=k4_net_1(A, B)) ) ) ) ) ) ) ) ) ).
fof(t18_net_1, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (! [B] :  (m1_subset_1(B, k2_net_1(A)) =>  ~ ( ( ~ (k2_net_1(A)=k1_xboole_0)  &  ( ~ (k6_net_1(A, B)=k1_tarski(B))  &  ~ (k6_net_1(A, B)=k4_net_1(A, B)) ) ) ) ) ) ) ) ).
fof(t19_net_1, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (! [B] :  (m1_subset_1(B, k2_net_1(A)) =>  ( ~ (k2_net_1(A)=k1_xboole_0)  => r1_tarski(k6_net_1(A, B), k2_net_1(A))) ) ) ) ) ).
fof(t20_net_1, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (! [B] :  (m1_subset_1(B, k2_net_1(A)) =>  ( ~ (k2_net_1(A)=k1_xboole_0)  => r1_tarski(k6_net_1(A, B), k2_net_1(A))) ) ) ) ) ).
fof(d10_net_1, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (! [B] :  (m1_subset_1(B, k2_net_1(A)) => k7_net_1(A, B)=k2_xboole_0(k5_net_1(A, B), k6_net_1(A, B))) ) ) ) ).
fof(d11_net_1, axiom,  (! [A] :  (l1_petri(A) =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (C=k8_net_1(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (r2_hidden(D, u1_struct_0(A)) & r2_hidden(k4_tarski(D, B), k1_net_1(A))) ) ) ) ) ) ) ) ) ).
fof(d12_net_1, axiom,  (! [A] :  (l1_petri(A) =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (C=k9_net_1(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (r2_hidden(D, u1_struct_0(A)) & r2_hidden(k4_tarski(B, D), k1_net_1(A))) ) ) ) ) ) ) ) ) ).
fof(d13_net_1, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (! [B] :  (! [C] :  (C=k10_net_1(A, B) <=>  (! [D] :  (r2_tarski(D, C) <=>  (r1_tarski(D, k2_net_1(A)) &  (? [E] :  (m1_subset_1(E, k2_net_1(A)) &  (r2_tarski(E, B) & D=k5_net_1(A, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_net_1, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (! [B] :  (! [C] :  (C=k11_net_1(A, B) <=>  (! [D] :  (r2_tarski(D, C) <=>  (r1_tarski(D, k2_net_1(A)) &  (? [E] :  (m1_subset_1(E, k2_net_1(A)) &  (r2_tarski(E, B) & D=k6_net_1(A, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_net_1, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (! [B] :  (m1_subset_1(B, k2_net_1(A)) =>  (! [C] :  (r2_tarski(B, C) =>  (k2_net_1(A)=k1_xboole_0 | r2_tarski(k5_net_1(A, B), k10_net_1(A, C))) ) ) ) ) ) ) ).
fof(t22_net_1, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (! [B] :  (m1_subset_1(B, k2_net_1(A)) =>  (! [C] :  (r2_tarski(B, C) =>  (k2_net_1(A)=k1_xboole_0 | r2_tarski(k6_net_1(A, B), k11_net_1(A, C))) ) ) ) ) ) ) ).
fof(d15_net_1, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (! [B] : k12_net_1(A, B)=k3_tarski(k10_net_1(A, B))) ) ) ).
fof(d16_net_1, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (! [B] : k13_net_1(A, B)=k3_tarski(k11_net_1(A, B))) ) ) ).
fof(t23_net_1, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (! [B] :  (! [C] :  (r1_tarski(C, k2_net_1(A)) =>  (r2_tarski(B, k12_net_1(A, C)) <=>  (? [D] :  (m1_subset_1(D, k2_net_1(A)) &  (r2_tarski(D, C) & r2_tarski(B, k5_net_1(A, D))) ) ) ) ) ) ) ) ) ).
fof(t24_net_1, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (! [B] :  (! [C] :  (r1_tarski(C, k2_net_1(A)) =>  (r2_tarski(B, k13_net_1(A, C)) <=>  (? [D] :  (m1_subset_1(D, k2_net_1(A)) &  (r2_tarski(D, C) & r2_tarski(B, k6_net_1(A, D))) ) ) ) ) ) ) ) ) ).
fof(t25_net_1, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_net_1(A))) =>  (! [C] :  (m1_subset_1(C, k2_net_1(A)) =>  ( ~ (k2_net_1(A)=k1_xboole_0)  =>  (r2_tarski(C, k12_net_1(A, B)) <=>  ~ ( ( ~ ( (r2_tarski(C, B) & r2_tarski(C, u1_struct_0(A))) )  &  (! [D] :  (m1_subset_1(D, k2_net_1(A)) =>  ~ ( (r2_tarski(D, B) &  (r2_tarski(D, u4_struct_0(A)) & r1_net_1(A, D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_net_1, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_net_1(A))) =>  (! [C] :  (m1_subset_1(C, k2_net_1(A)) =>  ( ~ (k2_net_1(A)=k1_xboole_0)  =>  (r2_tarski(C, k13_net_1(A, B)) <=>  ~ ( ( ~ ( (r2_tarski(C, B) & r2_tarski(C, u1_struct_0(A))) )  &  (! [D] :  (m1_subset_1(D, k2_net_1(A)) =>  ~ ( (r2_tarski(D, B) &  (r2_tarski(D, u4_struct_0(A)) & r2_net_1(A, D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_newton, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v7_ordinal1(B))  =>  (v1_relat_1(k2_finseq_2(B, A)) &  (v1_funct_1(k2_finseq_2(B, A)) &  (v1_finseq_1(k2_finseq_2(B, A)) & v1_valued_0(k2_finseq_2(B, A))) ) ) ) ) ).
fof(fc2_newton, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v7_ordinal1(B))  => v1_xreal_0(k1_newton(A, B))) ) ).
fof(fc3_newton, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v7_ordinal1(B))  => v1_xcmplx_0(k1_newton(A, B))) ) ).
fof(rd1_newton, axiom,  (! [A] :  (v1_xcmplx_0(A) => k1_newton(A, 1)=A) ) ).
fof(fc4_newton, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k1_newton(A, B))) ) ).
fof(rd2_newton, axiom,  (! [A] :  (v7_ordinal1(A) => k1_newton(1, A)=1) ) ).
fof(fc5_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_relat_1(k1_finseq_2(A)) &  (v1_funct_1(k1_finseq_2(A)) &  (v1_finseq_1(k1_finseq_2(A)) & v4_valued_0(k1_finseq_2(A))) ) ) ) ) ).
fof(fc6_newton, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xreal_0(k2_newton(A))) ) ).
fof(fc7_newton, axiom,  (! [A] :  (v7_ordinal1(A) => v7_ordinal1(k2_newton(A))) ) ).
fof(fc8_newton, axiom,  (! [A] :  (v7_ordinal1(A) => v2_xxreal_0(k2_newton(A))) ) ).
fof(fc9_newton, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v1_xreal_0(k3_newton(A, B))) ) ).
fof(fc10_newton, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k3_newton(A, B))) ) ).
fof(rc1_newton, axiom,  (? [A] :  (m1_subset_1(A, k4_ordinal1) &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_int_2(A) &  (v1_finset_1(A) &  (v1_card_1(A) & v1_rat_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_newton, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_int_2(A) &  (v1_finset_1(A) & v1_card_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc11_newton, axiom,  (! [A] :  (v7_ordinal1(A) => v1_finset_1(k9_newton(A))) ) ).
fof(fc12_newton, axiom,  ~ (v1_xboole_0(k8_newton)) ).
fof(fc13_newton, axiom, v1_xboole_0(k9_newton(2))).
fof(fc14_newton, axiom,  ( ~ (v1_xboole_0(k8_newton))  &  ~ (v1_finset_1(k8_newton)) ) ).
fof(t2_newton, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) => k3_finseq_1(k10_rvsum_1(B, A))=k3_finseq_1(B)) ) ) ) ).
fof(t3_newton, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) => k4_finseq_1(B)=k4_finseq_1(k10_rvsum_1(B, A))) ) ) ) ).
fof(d1_newton, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v7_ordinal1(B) => k1_newton(A, B)=k19_rvsum_1(k2_finseq_2(B, A))) ) ) ) ).
fof(t4_newton, axiom,  (! [A] :  (v1_xcmplx_0(A) => k1_newton(A, k5_numbers)=1) ) ).
fof(t5_newton, axiom,  (! [A] :  (v1_xcmplx_0(A) => k1_newton(A, 1)=A) ) ).
fof(t6_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xcmplx_0(B) => k1_newton(B, k1_nat_1(A, 1))=k3_xcmplx_0(k1_newton(B, A), B)) ) ) ) ).
fof(t7_newton, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v7_ordinal1(C) => k1_newton(k3_xcmplx_0(A, B), C)=k3_xcmplx_0(k1_newton(A, C), k1_newton(B, C))) ) ) ) ) ) ).
fof(t8_newton, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k1_newton(A, k2_xcmplx_0(B, C))=k3_xcmplx_0(k1_newton(A, B), k1_newton(A, C))) ) ) ) ) ) ).
fof(t9_newton, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k1_newton(k1_newton(A, B), C)=k1_newton(A, k3_xcmplx_0(B, C))) ) ) ) ) ) ).
fof(t10_newton, axiom,  (! [A] :  (v7_ordinal1(A) => k1_newton(1, A)=1) ) ).
fof(t11_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) => k1_newton(k5_numbers, A)=k5_numbers) ) ) ).
fof(d2_newton, axiom,  (! [A] :  (v7_ordinal1(A) => k2_newton(A)=k19_rvsum_1(k1_finseq_2(A))) ) ).
fof(t12_newton, axiom, k2_newton(k5_numbers)=1).
fof(t13_newton, axiom, k2_newton(1)=1).
fof(t14_newton, axiom, k2_newton(2)=2).
fof(t15_newton, axiom,  (! [A] :  (v7_ordinal1(A) => k2_newton(k1_nat_1(A, 1))=k3_xcmplx_0(k2_newton(A), k1_nat_1(A, 1))) ) ).
fof(t16_newton, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k2_newton(A), k4_ordinal1)) ) ).
fof(t17_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ (r1_xxreal_0(k2_newton(A), k5_numbers)) ) ) ).
fof(t18_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ (k3_xcmplx_0(k2_newton(A), k2_newton(B))=k5_numbers) ) ) ) ) ).
fof(d3_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (r1_xxreal_0(A, B) =>  (C=k3_newton(A, B) <=>  (! [D] :  (v7_ordinal1(D) =>  (D=k6_xcmplx_0(B, A) => C=k7_xcmplx_0(k2_newton(B), k3_xcmplx_0(k2_newton(A), k2_newton(D)))) ) ) ) )  &  ( ~ (r1_xxreal_0(A, B))  =>  (C=k3_newton(A, B) <=> C=k5_numbers) ) ) ) ) ) ) ) ).
fof(t19_newton, axiom,  (! [A] :  (v7_ordinal1(A) => k3_newton(k5_numbers, A)=1) ) ).
fof(t20_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(C, B) & A=k6_xcmplx_0(B, C))  => k3_newton(C, B)=k3_newton(A, B)) ) ) ) ) ) ) ).
fof(t21_newton, axiom,  (! [A] :  (v7_ordinal1(A) => k3_newton(A, A)=1) ) ).
fof(t22_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k3_newton(k1_nat_1(A, 1), k1_nat_1(B, 1))=k2_xcmplx_0(k3_newton(k1_nat_1(A, 1), B), k3_newton(A, B))) ) ) ) ).
fof(t23_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) => k3_newton(1, A)=A) ) ) ).
fof(t24_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, A) & B=k6_xcmplx_0(A, 1))  => k3_newton(B, A)=A) ) ) ) ) ).
fof(t25_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => m1_subset_1(k3_newton(A, B), k4_ordinal1)) ) ) ) ).
fof(t26_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  ( (k3_finseq_1(C)=B &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(D, k4_finseq_1(C)) & E=k6_xcmplx_0(k2_xcmplx_0(A, D), 1))  => k1_funct_1(C, D)=k3_newton(A, E)) ) ) ) ) )  =>  (B=k5_numbers | k18_rvsum_1(C)=k3_newton(k1_nat_1(A, 1), k2_xcmplx_0(A, B))) ) ) ) ) ) ) ) ).
fof(d4_newton, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  (D=k5_newton(A, B, C) <=>  (k3_finseq_1(D)=k1_nat_1(C, 1) &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ( (r2_tarski(E, k4_finseq_1(D)) &  (G=k6_xcmplx_0(E, 1) & F=k6_xcmplx_0(C, G)) )  => k1_funct_1(D, E)=k3_xcmplx_0(k3_xcmplx_0(k3_newton(G, C), k1_newton(A, F)), k1_newton(B, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_newton, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k5_newton(A, B, k5_numbers)=k12_finseq_1(k4_ordinal1, 1)) ) ) ) ).
fof(t28_newton, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) => k1_funct_1(k5_newton(A, B, C), 1)=k1_newton(A, C)) ) ) ) ) ) ).
fof(t29_newton, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) => k1_funct_1(k5_newton(A, B, C), k1_nat_1(C, 1))=k1_newton(B, C)) ) ) ) ) ) ).
fof(t30_newton, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) => k1_newton(k2_xcmplx_0(A, B), C)=k18_rvsum_1(k5_newton(A, B, C))) ) ) ) ) ) ).
fof(d5_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (B=k6_newton(A) <=>  (k3_finseq_1(B)=k1_nat_1(A, 1) &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(C, k4_finseq_1(B)) & D=k6_xcmplx_0(C, 1))  => k1_funct_1(B, C)=k3_newton(D, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_newton, axiom,  (! [A] :  (v7_ordinal1(A) => k6_newton(A)=k5_newton(1, 1, A)) ) ).
fof(t32_newton, axiom,  (! [A] :  (v7_ordinal1(A) => k1_newton(2, A)=k18_rvsum_1(k6_newton(A))) ) ).
fof(t33_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(1, B) => r1_xxreal_0(A, k3_xcmplx_0(A, B))) ) ) ) ) ).
fof(t34_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(k3_xcmplx_0(A, C), B))  => r1_xxreal_0(A, B)) ) ) ) ) ) ) ).
fof(t35_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (A=k5_numbers)  => r1_nat_d(A, k7_newton(A))) ) ) ).
fof(t36_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (A=k5_numbers)  & r1_xxreal_0(k7_xcmplx_0(k1_nat_1(A, 1), A), 1)) ) ) ) ).
fof(t37_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ (r1_xxreal_0(1, k7_xcmplx_0(A, k1_nat_1(A, 1)))) ) ) ).
fof(t38_newton, axiom,  (! [A] :  (v7_ordinal1(A) => r1_xxreal_0(A, k7_newton(A))) ) ).
fof(t39_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (B=1)  &  (r1_nat_d(B, A) & r1_nat_d(B, k1_nat_1(A, 1))) ) ) ) ) ) ) ).
fof(t40_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (A=k5_numbers)  => r1_nat_d(A, k7_newton(k2_xcmplx_0(A, B)))) ) ) ) ) ).
fof(t41_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(A, B) =>  (A=k5_numbers | r1_nat_d(A, k7_newton(B))) ) ) ) ) ) ).
fof(t42_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (A=1)  &  ( ~ (A=k5_numbers)  &  (r1_nat_d(A, k1_nat_1(k7_newton(B), 1)) & r1_xxreal_0(A, B)) ) ) ) ) ) ) ) ).
fof(t43_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k5_nat_d(C, k5_nat_d(B, A))=k5_nat_d(k5_nat_d(C, B), A)) ) ) ) ) ) ).
fof(t44_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_nat_d(B, A) <=> k5_nat_d(B, A)=A) ) ) ) ) ).
fof(t45_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_nat_d(B, C) & r1_nat_d(A, C))  <=> r1_nat_d(k5_nat_d(B, A), C)) ) ) ) ) ) ) ).
fof(t46_newton, axiom,  (! [A] :  (v7_ordinal1(A) => k5_nat_d(A, 1)=A) ) ).
fof(t47_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => r1_nat_d(k5_nat_d(B, A), k3_xcmplx_0(B, A))) ) ) ) ).
fof(t48_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k6_nat_d(C, k6_nat_d(B, A))=k6_nat_d(k6_nat_d(C, B), A)) ) ) ) ) ) ).
fof(t49_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_nat_d(A, B) => k6_nat_d(A, B)=A) ) ) ) ) ).
fof(t50_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_nat_d(C, B) & r1_nat_d(C, A))  <=> r1_nat_d(C, k6_nat_d(B, A))) ) ) ) ) ) ) ).
fof(t51_newton, axiom,  (! [A] :  (v7_ordinal1(A) => k6_nat_d(A, 1)=1) ) ).
fof(t52_newton, axiom,  (! [A] :  (v7_ordinal1(A) => k6_nat_d(A, k5_numbers)=A) ) ).
fof(t53_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k5_nat_d(k6_nat_d(B, A), A)=A) ) ) ) ).
fof(t54_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k6_nat_d(B, k5_nat_d(B, A))=B) ) ) ) ).
fof(t55_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k6_nat_d(B, k5_nat_d(B, A))=k5_nat_d(k6_nat_d(A, B), B)) ) ) ) ).
fof(t56_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_nat_d(C, B) => r1_nat_d(k6_nat_d(C, A), k6_nat_d(B, A))) ) ) ) ) ) ) ).
fof(t57_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_nat_d(C, B) => r1_nat_d(k6_nat_d(A, C), k6_nat_d(A, B))) ) ) ) ) ) ) ).
fof(t58_newton, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  & r1_xxreal_0(k3_int_2(B, A), k5_numbers)) ) ) ) ) ) ).
fof(t59_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  ( ~ (r1_xxreal_0(A, k5_numbers))  & r1_xxreal_0(k5_nat_d(B, A), k5_numbers)) ) ) ) ) ) ) ).
fof(t60_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => r1_nat_d(k5_nat_d(k6_nat_d(B, C), k6_nat_d(B, A)), k6_nat_d(B, k5_nat_d(C, A)))) ) ) ) ) ) ).
fof(t61_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_nat_d(B, C) => r1_nat_d(k5_nat_d(B, k6_nat_d(A, C)), k6_nat_d(k5_nat_d(B, A), C))) ) ) ) ) ) ) ).
fof(t62_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => r1_nat_d(k6_nat_d(A, B), k5_nat_d(A, B))) ) ) ) ).
fof(t63_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  => k4_nat_d(A, B)=k6_xcmplx_0(A, k3_xcmplx_0(B, k3_nat_d(A, B)))) ) ) ) ) ).
fof(t64_newton, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (r1_xxreal_0(k5_numbers, B) => r1_xxreal_0(k5_numbers, k5_int_1(A, B))) ) ) ) ) ).
fof(t65_newton, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  & r1_xxreal_0(B, k5_int_1(A, B))) ) ) ) ) ) ).
fof(t66_newton, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  ( ~ (B=k5_numbers)  => A=k2_xcmplx_0(k3_xcmplx_0(k4_int_1(A, B), B), k5_int_1(A, B))) ) ) ) ) ).
fof(t67_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (? [C] :  (v1_int_1(C) &  (? [D] :  (v1_int_1(D) & k2_xcmplx_0(k3_xcmplx_0(C, B), k3_xcmplx_0(D, A))=k6_nat_d(B, A)) ) ) ) ) ) ) ) ).
fof(d6_newton, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k4_ordinal1)) =>  (A=k8_newton <=>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, A) <=> v1_int_2(B)) ) ) ) ) ) ).
fof(d7_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k4_ordinal1)) =>  (B=k9_newton(A) <=>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, B) <=>  ( ~ (r1_xxreal_0(A, C))  & v1_int_2(C)) ) ) ) ) ) ) ) ) ).
fof(t68_newton, axiom,  (! [A] :  (v7_ordinal1(A) => r1_tarski(k9_newton(A), k8_newton)) ) ).
fof(t69_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(A, B) => r1_tarski(k9_newton(A), k9_newton(B))) ) ) ) ) ).
fof(t70_newton, axiom,  (! [A] :  (v7_ordinal1(A) => r1_tarski(k9_newton(A), k1_finseq_1(A))) ) ).
fof(t71_newton, axiom,  (! [A] :  (v7_ordinal1(A) => v1_finset_1(k9_newton(A))) ) ).
fof(t72_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  => r1_xxreal_0(B, A)) ) ) ) ) ).
fof(t73_newton, axiom,  (! [A] :  (v7_ordinal1(A) => r1_tarski(k9_newton(A), k2_finseq_1(A))) ) ).
fof(t74_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(B, A) & r2_tarski(A, k9_newton(B))) ) ) ) ) ) ).
fof(t75_newton, axiom,  (! [A] :  (v7_ordinal1(A) => v1_finset_1(k2_xboole_0(k9_newton(A), k1_tarski(A)))) ) ).
fof(t76_newton, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(B, A))  => r1_tarski(k2_xboole_0(k9_newton(A), k1_tarski(A)), k9_newton(B))) ) ) ) ) ).
fof(t77_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(B, A) & r2_tarski(A, k9_newton(B))) ) ) ) ) ) ).
fof(d8_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_int_2(B) & m1_subset_1(B, k4_ordinal1))  =>  (B=k10_newton(A) <=> A=k4_card_1(k9_newton(B))) ) ) ) ) ).
fof(t79_newton, axiom,  ~ (v1_finset_1(k8_newton)) ).
fof(t80_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_int_2(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_nat_d(A, k3_xcmplx_0(B, C)) &  ( ~ (r1_nat_d(A, B))  &  ~ (r1_nat_d(A, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t81_newton, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (k1_newton(A, 2)=k3_xcmplx_0(A, A) & k1_square_1(A)=k1_newton(A, 2)) ) ) ).
fof(t82_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (k4_int_1(B, A)=k3_nat_d(B, A) & k5_int_1(B, A)=k4_nat_d(B, A)) ) ) ) ) ).
fof(t83_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  & r1_xxreal_0(k1_newton(B, A), k5_numbers)) ) ) ) ) ) ).
fof(t84_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k1_newton(k5_numbers, A)=k5_numbers) ) ) ).
fof(t85_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(2, B) => r1_xxreal_0(k1_nat_1(A, 1), k1_newton(B, A))) ) ) ) ) ).
fof(t86_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(2, B) & r1_xxreal_0(k1_newton(B, A), A)) ) ) ) ) ) ).
fof(t87_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ ( ( ~ ( (A=k5_numbers &  ~ (B=k5_numbers) ) )  & k1_newton(A, B)=k5_numbers) )  &  ~ ( ( ~ (k1_newton(A, B)=k5_numbers)  &  (A=k5_numbers &  ~ (B=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(t88_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (k3_xcmplx_0(k1_newton(2, A), k1_nat_1(k3_xcmplx_0(2, C), 1))=k3_xcmplx_0(k1_newton(2, B), k1_nat_1(k3_xcmplx_0(2, D), 1)) =>  (A=B & C=D) ) ) ) ) ) ) ) ) ) ).
fof(t89_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, C) => r1_nat_d(k1_newton(A, B), k1_newton(A, C))) ) ) ) ) ) ) ).
fof(s1_newton, axiom,  ( ( ~ (r1_xxreal_0(f4_s1_newton, k5_numbers))  &  ( ~ (r1_xxreal_0(f3_s1_newton, f4_s1_newton))  &  (f1_s1_newton(k5_numbers)=f3_s1_newton &  (f2_s1_newton(k5_numbers)=f4_s1_newton &  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(f2_s1_newton(A), k5_numbers))  =>  (f1_s1_newton(k1_nat_1(A, 1))=f2_s1_newton(A) & f2_s1_newton(k1_nat_1(A, 1))=k4_nat_d(f1_s1_newton(A), f2_s1_newton(A))) ) ) ) ) ) ) )  =>  (? [A] :  (v7_ordinal1(A) &  (f1_s1_newton(A)=k6_nat_d(f3_s1_newton, f4_s1_newton) & f2_s1_newton(A)=k5_numbers) ) ) ) ).
fof(dt_k4_newton, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => m1_subset_1(k4_newton(A, B), k4_ordinal1)) ) ).
fof(redefinition_k4_newton, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => k4_newton(A, B)=k3_newton(A, B)) ) ).
fof(dt_k5_newton, axiom,  (! [A, B, C] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) & v7_ordinal1(C)) )  => m2_finseq_1(k5_newton(A, B, C), k1_numbers)) ) ).
fof(dt_k6_newton, axiom,  (! [A] :  (v7_ordinal1(A) => m2_finseq_1(k6_newton(A), k1_numbers)) ) ).
fof(dt_k7_newton, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k7_newton(A), k4_ordinal1)) ) ).
fof(redefinition_k7_newton, axiom,  (! [A] :  (v7_ordinal1(A) => k7_newton(A)=k2_newton(A)) ) ).
fof(dt_k8_newton, axiom, m1_subset_1(k8_newton, k1_zfmisc_1(k4_ordinal1))).
fof(dt_k9_newton, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k9_newton(A), k1_zfmisc_1(k4_ordinal1))) ) ).
fof(dt_k10_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_int_2(k10_newton(A)) & m1_subset_1(k10_newton(A), k4_ordinal1)) ) ) ).
fof(dt_k11_newton, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  => m1_subset_1(k11_newton(A, B), k4_ordinal1)) ) ).
fof(redefinition_k11_newton, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  => k11_newton(A, B)=k1_newton(A, B)) ) ).
fof(dt_f1_s1_newton, axiom,  (! [A] : m1_subset_1(f1_s1_newton(A), k4_ordinal1)) ).
fof(dt_f2_s1_newton, axiom,  (! [A] : m1_subset_1(f2_s1_newton(A), k4_ordinal1)) ).
fof(dt_f3_s1_newton, axiom, m1_subset_1(f3_s1_newton, k4_ordinal1)).
fof(dt_f4_s1_newton, axiom, m1_subset_1(f4_s1_newton, k4_ordinal1)).
fof(t1_newton, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) => k2_finseq_1(A)=k2_xboole_0(k2_xboole_0(k1_tarski(1), a_1_0_newton(A)), k1_tarski(A))) ) ) ).
fof(t78_newton, axiom,  (! [A] :  (v7_ordinal1(A) => k9_newton(A)=a_1_1_newton(A)) ) ).
fof(fraenkel_a_1_0_newton, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_0_newton(B)) <=>  (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (A=C &  ( ~ (r1_xxreal_0(C, 1))  &  ~ (r1_xxreal_0(B, C)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_1_newton, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_1_newton(B)) <=>  (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (A=C &  ( ~ (r1_xxreal_0(B, C))  & v1_int_2(C)) ) ) ) ) ) ) ).
fof(fc1_newton01, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_abian(A))  &  (v1_int_1(B) & v1_abian(B)) )  => v1_abian(k6_xcmplx_0(A, B))) ) ).
fof(fc2_newton01, axiom,  (! [A, B] :  ( ( (v1_int_1(A) &  ~ (v1_abian(A)) )  & v7_ordinal1(B))  =>  ~ (v1_abian(k1_newton(A, B))) ) ) ).
fof(fc3_newton01, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) & v2_xxreal_0(A))  &  (v1_int_1(B) & v1_abian(B)) )  => v1_abian(k1_newton(B, A))) ) ).
fof(t1_newton01, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k6_xcmplx_0(k1_newton(A, 2), k1_newton(B, 2))=k3_xcmplx_0(k6_xcmplx_0(A, B), k2_xcmplx_0(A, B))) ) ) ) ).
fof(t2_newton01, axiom,  (! [A] :  (v1_xcmplx_0(A) => k2_xcmplx_0(k1_newton(k2_xcmplx_0(k3_xcmplx_0(2, A), 1), 2), k1_newton(k2_xcmplx_0(k3_xcmplx_0(2, k1_newton(A, 2)), k3_xcmplx_0(2, A)), 2))=k1_newton(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2, k1_newton(A, 2)), k3_xcmplx_0(2, A)), 1), 2)) ) ).
fof(t3_newton01, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k2_xcmplx_0(k2_xcmplx_0(k1_newton(A, 2), k3_xcmplx_0(A, B)), k1_newton(B, 2))=k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(3, k1_newton(k2_xcmplx_0(A, B), 2)), k1_newton(k6_xcmplx_0(A, B), 2)), 4)) ) ) ) ).
fof(t4_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (v1_abian(A))  &  (! [B] :  (v7_ordinal1(B) =>  ~ (k2_xcmplx_0(k1_newton(A, 2), k1_newton(B, 2))=k1_newton(k2_xcmplx_0(B, 1), 2)) ) ) ) ) ) ) ).
fof(t5_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) => k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(k1_newton(C, A), k1_newton(D, A)), k6_xcmplx_0(k1_newton(C, B), k1_newton(D, B))), k3_xcmplx_0(k2_xcmplx_0(k1_newton(C, B), k1_newton(D, B)), k6_xcmplx_0(k1_newton(C, A), k1_newton(D, A)))), 2)=k6_xcmplx_0(k1_newton(C, k2_xcmplx_0(A, B)), k1_newton(D, k2_xcmplx_0(A, B)))) ) ) ) ) ) ) ) ).
fof(t6_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(k2_xcmplx_0(k1_newton(A, D), k1_newton(B, D)), k1_newton(C, D)) => r1_xxreal_0(A, C)) ) ) ) ) ) ) ) ) ).
fof(t7_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  (k1_newton(k2_xcmplx_0(B, C), k2_xcmplx_0(A, 1))=k2_xcmplx_0(k2_xcmplx_0(k1_newton(B, k2_xcmplx_0(A, 1)), k1_newton(C, k2_xcmplx_0(A, 1))), k3_xcmplx_0(k3_xcmplx_0(B, C), D)) => k1_newton(k2_xcmplx_0(B, C), k2_xcmplx_0(A, 2))=k2_xcmplx_0(k2_xcmplx_0(k1_newton(B, k2_xcmplx_0(A, 2)), k1_newton(C, k2_xcmplx_0(A, 2))), k3_xcmplx_0(k3_xcmplx_0(B, C), k2_xcmplx_0(k2_xcmplx_0(k1_newton(B, A), k1_newton(C, A)), k3_xcmplx_0(D, k2_xcmplx_0(B, C)))))) ) ) ) ) ) ) ) ) ).
fof(t8_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) => k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(k1_newton(C, A), k1_newton(D, A)), k2_xcmplx_0(k1_newton(C, B), k1_newton(D, B))), k3_xcmplx_0(k6_xcmplx_0(k1_newton(C, B), k1_newton(D, B)), k6_xcmplx_0(k1_newton(C, A), k1_newton(D, A)))), 2)=k2_xcmplx_0(k1_newton(C, k2_xcmplx_0(A, B)), k1_newton(D, k2_xcmplx_0(A, B)))) ) ) ) ) ) ) ) ).
fof(t9_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k2_xcmplx_0(k1_newton(B, k2_xcmplx_0(A, 1)), k1_newton(C, k2_xcmplx_0(A, 1)))=k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(k1_newton(B, A), k1_newton(C, A)), k2_xcmplx_0(B, C)), k3_xcmplx_0(k6_xcmplx_0(B, C), k6_xcmplx_0(k1_newton(B, A), k1_newton(C, A)))), 2)) ) ) ) ) ) ).
fof(t10_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k5_ordinal1, k3_xcmplx_0(k6_xcmplx_0(A, B), k6_xcmplx_0(k1_newton(A, C), k1_newton(B, C))))) ) ) ) ) ) ).
fof(t11_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k7_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(k1_newton(A, C), k1_newton(B, C)), k2_xcmplx_0(A, B)), 2), k2_xcmplx_0(k1_newton(A, k2_xcmplx_0(C, 1)), k1_newton(B, k2_xcmplx_0(C, 1))))) ) ) ) ) ) ).
fof(t12_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(k2_xcmplx_0(k1_newton(A, D), k1_newton(B, D)), k1_newton(C, D)) &  (! [E] :  (v7_ordinal1(E) =>  ~ (r1_xxreal_0(k2_xcmplx_0(k1_newton(A, D), k1_newton(B, D)), k1_newton(k2_xcmplx_0(A, E), D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k6_xcmplx_0(k1_newton(B, k2_xcmplx_0(A, 1)), k1_newton(C, k2_xcmplx_0(A, 1)))=k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(k1_newton(B, A), k1_newton(C, A)), k6_xcmplx_0(B, C)), k3_xcmplx_0(k2_xcmplx_0(B, C), k6_xcmplx_0(k1_newton(B, A), k1_newton(C, A)))), 2)) ) ) ) ) ) ).
fof(t14_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v1_int_1(D) =>  (k6_xcmplx_0(k1_newton(A, k2_xcmplx_0(C, 1)), k1_newton(B, k2_xcmplx_0(C, 1)))=k7_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(A, B), k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(D, k2_xcmplx_0(A, B)), k1_newton(A, C)), k1_newton(B, C))), 2) <=> k6_xcmplx_0(k1_newton(A, C), k1_newton(B, C))=k3_xcmplx_0(k6_xcmplx_0(A, B), D)) ) ) ) ) ) ) ) ) ).
fof(t15_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xcmplx_0(B) => k6_xcmplx_0(k1_newton(k2_xcmplx_0(k7_xcmplx_0(k1_newton(B, A), 2), k7_xcmplx_0(B, 2)), 2), k1_newton(k6_xcmplx_0(k7_xcmplx_0(k1_newton(B, A), 2), k7_xcmplx_0(B, 2)), 2))=k1_newton(B, k2_xcmplx_0(A, 1))) ) ) ) ).
fof(t16_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k6_xcmplx_0(k1_newton(A, 3), k1_newton(B, 3))=k7_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(A, B), k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(A, B), k2_xcmplx_0(A, B)), k1_newton(A, 2)), k1_newton(B, 2))), 2)) ) ) ) ).
fof(t17_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(k2_xcmplx_0(k1_newton(A, D), k1_newton(B, D)), k1_newton(C, D)) &  ( ~ (r1_xxreal_0(A, k5_ordinal1))  &  ( ~ (r1_xxreal_0(B, k5_ordinal1))  & r1_xxreal_0(k1_newton(C, k2_xcmplx_0(D, 1)), k2_xcmplx_0(k1_newton(A, k2_xcmplx_0(D, 1)), k1_newton(B, k2_xcmplx_0(D, 1))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(k2_xcmplx_0(k1_newton(A, E), k1_newton(B, E)), k1_newton(C, E)) &  ( ~ (r1_xxreal_0(A, k5_ordinal1))  &  ( ~ (r1_xxreal_0(B, k5_ordinal1))  &  ( ~ (r1_xxreal_0(D, k5_ordinal1))  & r1_xxreal_0(k1_newton(C, k2_xcmplx_0(D, E)), k2_xcmplx_0(k1_newton(A, k2_xcmplx_0(D, E)), k1_newton(B, k2_xcmplx_0(D, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(k2_xcmplx_0(k1_newton(A, E), k1_newton(B, E)), k1_newton(C, E)) => r1_xxreal_0(k2_xcmplx_0(k1_newton(A, k2_xcmplx_0(D, E)), k1_newton(B, k2_xcmplx_0(D, E))), k1_newton(C, k2_xcmplx_0(D, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(k1_newton(C, E), k2_xcmplx_0(k1_newton(A, E), k1_newton(B, E))))  & r1_xxreal_0(k1_newton(C, k2_xcmplx_0(D, E)), k2_xcmplx_0(k1_newton(A, k2_xcmplx_0(D, E)), k1_newton(B, k2_xcmplx_0(D, E))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k6_xcmplx_0(k1_newton(B, k2_xcmplx_0(A, 2)), k1_newton(C, k2_xcmplx_0(A, 2)))=k2_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(k1_newton(B, k2_xcmplx_0(A, 1)), k1_newton(C, k2_xcmplx_0(A, 1))), k6_xcmplx_0(B, C)), k3_xcmplx_0(k3_xcmplx_0(B, C), k6_xcmplx_0(k1_newton(B, A), k1_newton(C, A))))) ) ) ) ) ) ).
fof(t22_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k2_xcmplx_0(k1_newton(B, k2_xcmplx_0(A, 2)), k1_newton(C, k2_xcmplx_0(A, 2)))=k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(k1_newton(B, k2_xcmplx_0(A, 1)), k1_newton(C, k2_xcmplx_0(A, 1))), k6_xcmplx_0(B, C)), k3_xcmplx_0(k3_xcmplx_0(B, C), k2_xcmplx_0(k1_newton(B, A), k1_newton(C, A))))) ) ) ) ) ) ).
fof(t23_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (k6_xcmplx_0(k1_newton(A, k2_xcmplx_0(k3_xcmplx_0(2, D), 2)), k1_newton(B, k2_xcmplx_0(k3_xcmplx_0(2, D), 2)))=k7_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(k1_newton(A, 2), k1_newton(B, 2)), k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(C, k2_xcmplx_0(k1_newton(A, 2), k1_newton(B, 2))), k1_newton(A, k3_xcmplx_0(2, D))), k1_newton(B, k3_xcmplx_0(2, D)))), 2) <=> k6_xcmplx_0(k1_newton(A, k3_xcmplx_0(2, D)), k1_newton(B, k3_xcmplx_0(2, D)))=k3_xcmplx_0(k6_xcmplx_0(k1_newton(A, 2), k1_newton(B, 2)), C)) ) ) ) ) ) ) ) ) ).
fof(t24_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k2_xcmplx_0(k1_newton(B, k2_xcmplx_0(k3_xcmplx_0(2, A), 3)), k1_newton(C, k2_xcmplx_0(k3_xcmplx_0(2, A), 3)))=k6_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(k1_newton(B, k2_xcmplx_0(k3_xcmplx_0(2, A), 2)), k1_newton(C, k2_xcmplx_0(k3_xcmplx_0(2, A), 2))), k2_xcmplx_0(B, C)), k3_xcmplx_0(k3_xcmplx_0(B, C), k2_xcmplx_0(k1_newton(B, k2_xcmplx_0(k3_xcmplx_0(2, A), 1)), k1_newton(C, k2_xcmplx_0(k3_xcmplx_0(2, A), 1)))))) ) ) ) ) ) ).
fof(t25_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  (k6_xcmplx_0(k1_newton(C, B), k1_newton(D, B))=k3_xcmplx_0(k6_xcmplx_0(C, D), A) => k6_xcmplx_0(k1_newton(C, k2_xcmplx_0(B, 2)), k1_newton(D, k2_xcmplx_0(B, 2)))=k3_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_newton(C, k2_xcmplx_0(B, 1)), k1_newton(D, k2_xcmplx_0(B, 1))), k3_xcmplx_0(k3_xcmplx_0(C, D), A)), k6_xcmplx_0(C, D))) ) ) ) ) ) ) ) ) ).
fof(t26_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  (k6_xcmplx_0(k1_newton(C, k2_xcmplx_0(B, 2)), k1_newton(D, k2_xcmplx_0(B, 2)))=k3_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_newton(C, k2_xcmplx_0(B, 1)), k1_newton(D, k2_xcmplx_0(B, 1))), k3_xcmplx_0(k3_xcmplx_0(C, D), A)), k6_xcmplx_0(C, D)) =>  (k3_xcmplx_0(C, D)=k5_ordinal1 | k6_xcmplx_0(k1_newton(C, B), k1_newton(D, B))=k3_xcmplx_0(k6_xcmplx_0(C, D), A)) ) ) ) ) ) ) ) ) ) ).
fof(t27_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_ordinal1))  &  ( ~ (r1_xxreal_0(A, B))  &  ~ ( (k3_xcmplx_0(k6_xcmplx_0(k1_newton(A, C), k1_newton(B, C)), k2_xcmplx_0(A, B))=k3_xcmplx_0(k2_xcmplx_0(k1_newton(A, C), k1_newton(B, C)), k6_xcmplx_0(A, B)) <=> C=1) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  ( ~ (r1_xxreal_0(B, k5_ordinal1))  &  ( ~ (r1_xxreal_0(A, B))  & r1_xxreal_0(k3_xcmplx_0(k6_xcmplx_0(k1_newton(A, C), k1_newton(B, C)), k2_xcmplx_0(A, B)), k6_xcmplx_0(k1_newton(A, k2_xcmplx_0(C, 1)), k1_newton(B, k2_xcmplx_0(C, 1))))) ) ) ) ) ) ) ) ) ) ).
fof(t29_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_ordinal1))  &  ( ~ (r1_xxreal_0(A, B))  &  ~ (r1_xxreal_0(k3_xcmplx_0(k2_xcmplx_0(k1_newton(A, C), k1_newton(B, C)), k6_xcmplx_0(A, B)), k6_xcmplx_0(k1_newton(A, k2_xcmplx_0(C, 1)), k1_newton(B, k2_xcmplx_0(C, 1))))) ) ) ) ) ) ) ) ) ) ).
fof(t30_newton01, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  (! [E] :  (v1_int_1(E) =>  (r1_int_1(k2_xcmplx_0(A, B), k2_xcmplx_0(k3_xcmplx_0(A, D), k3_xcmplx_0(B, E))) => r1_int_1(k2_xcmplx_0(A, B), k2_xcmplx_0(k3_xcmplx_0(A, k2_xcmplx_0(D, C)), k3_xcmplx_0(B, k2_xcmplx_0(E, C))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_newton01, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) => r1_int_1(k2_xcmplx_0(A, B), k2_xcmplx_0(k3_xcmplx_0(A, k2_xcmplx_0(k3_xcmplx_0(C, k2_xcmplx_0(A, B)), D)), k3_xcmplx_0(B, D)))) ) ) ) ) ) ) ) ).
fof(t32_newton01, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  (! [E] :  (v1_int_1(E) =>  (r1_int_1(k2_xcmplx_0(A, B), k6_xcmplx_0(D, E)) => r1_int_1(k2_xcmplx_0(A, B), k2_xcmplx_0(k3_xcmplx_0(A, k2_xcmplx_0(D, C)), k3_xcmplx_0(B, k2_xcmplx_0(E, C))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => r1_int_1(k6_xcmplx_0(A, B), k6_xcmplx_0(k1_newton(A, C), k1_newton(B, C)))) ) ) ) ) ) ).
fof(t34_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => r1_int_1(k6_xcmplx_0(k1_newton(A, 2), k1_newton(B, 2)), k6_xcmplx_0(k1_newton(A, k3_xcmplx_0(2, C)), k1_newton(B, k3_xcmplx_0(2, C))))) ) ) ) ) ) ).
fof(t35_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => r1_int_1(k2_xcmplx_0(A, B), k2_xcmplx_0(k1_newton(A, k2_xcmplx_0(k3_xcmplx_0(2, C), 1)), k1_newton(B, k2_xcmplx_0(k3_xcmplx_0(2, C), 1))))) ) ) ) ) ) ).
fof(t36_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => r1_int_1(k2_xcmplx_0(A, B), k6_xcmplx_0(k1_newton(A, k3_xcmplx_0(2, C)), k1_newton(B, k3_xcmplx_0(2, C))))) ) ) ) ) ) ).
fof(t37_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_int_1(k2_xcmplx_0(A, B), k6_xcmplx_0(k1_newton(A, C), k1_newton(B, C))) => r1_int_1(k2_xcmplx_0(A, B), k2_xcmplx_0(k1_newton(A, k2_xcmplx_0(C, 1)), k1_newton(B, k2_xcmplx_0(C, 1))))) ) ) ) ) ) ) ).
fof(t38_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_int_1(k2_xcmplx_0(A, B), k2_xcmplx_0(k1_newton(A, C), k1_newton(B, C))) | r1_int_1(k2_xcmplx_0(A, B), k6_xcmplx_0(k1_newton(A, C), k1_newton(B, C)))) ) ) ) ) ) ) ).
fof(t39_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(B, A) & k6_xcmplx_0(k1_newton(C, D), k1_newton(B, D))=k1_newton(A, D))  =>  (k3_int_2(k6_xcmplx_0(C, B), k1_newton(A, D))=k6_xcmplx_0(C, B) & k3_int_2(k6_xcmplx_0(C, A), k1_newton(B, D))=k6_xcmplx_0(C, A)) ) ) ) ) ) ) ) ) ) ).
fof(t40_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_int_2(A, B) & r1_int_1(k2_xcmplx_0(A, B), k2_xcmplx_0(k3_xcmplx_0(A, C), k3_xcmplx_0(B, D))))  => r1_int_1(k2_xcmplx_0(A, B), k6_xcmplx_0(C, D))) ) ) ) ) ) ) ) ) ).
fof(t41_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_int_2(k3_xcmplx_0(A, B), k3_xcmplx_0(C, D)) => r1_int_2(A, C)) ) ) ) ) ) ) ) ) ).
fof(t42_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_ordinal1))  &  ( ~ (r1_xxreal_0(B, k5_ordinal1))  &  (k2_xcmplx_0(k1_newton(A, D), k1_newton(B, D))=k1_newton(C, D) &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ~ ( (k2_xcmplx_0(k1_newton(E, D), k1_newton(F, D))=k1_newton(G, D) &  (r1_int_2(E, F) &  (r1_int_2(E, G) &  (r1_int_2(F, G) &  (A=k3_xcmplx_0(k3_int_2(A, B), E) &  (B=k3_xcmplx_0(k3_int_2(A, B), F) & C=k3_xcmplx_0(k3_int_2(A, B), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_ordinal1))  & k2_xcmplx_0(k1_newton(A, k2_xcmplx_0(C, 2)), k1_newton(A, k2_xcmplx_0(C, 2)))=k1_newton(B, k2_xcmplx_0(C, 2))) ) ) ) ) ) ) ) ).
fof(t44_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_ordinal1))  &  ( ~ (r1_xxreal_0(C, B))  &  (k2_xcmplx_0(A, k1_newton(B, 2))=k1_newton(C, 2) & r1_xxreal_0(k1_newton(k2_xcmplx_0(C, D), 2), k2_xcmplx_0(A, k1_newton(k2_xcmplx_0(B, D), 2)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v1_int_1(D) =>  ~ ( ( ~ (r1_xxreal_0(k5_ordinal1, D))  &  ( ~ (r1_xxreal_0(C, B))  &  (k2_xcmplx_0(k1_newton(A, 2), k1_newton(B, 2))=k1_newton(C, 2) & r1_xxreal_0(k2_xcmplx_0(k1_newton(A, 2), k1_newton(k2_xcmplx_0(B, D), 2)), k1_newton(k2_xcmplx_0(C, D), 2))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_ordinal1))  &  (k2_xcmplx_0(k1_newton(A, 2), k1_newton(B, 2))=k1_newton(k2_xcmplx_0(B, 1), 2) & r1_xxreal_0(k2_xcmplx_0(k1_newton(A, 2), k1_newton(k6_xcmplx_0(B, C), 2)), k1_newton(k6_xcmplx_0(k2_xcmplx_0(B, 1), C), 2))) ) ) ) ) ) ) ) ) ).
fof(t47_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k2_xcmplx_0(k1_newton(k2_xcmplx_0(A, 1), 2), k1_newton(k2_xcmplx_0(k2_xcmplx_0(A, 1), B), 2)), k1_newton(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(A, 1), B), 1), 2)) & r1_xxreal_0(k1_newton(k2_xcmplx_0(k2_xcmplx_0(A, B), 1), 2), k2_xcmplx_0(k1_newton(A, 2), k1_newton(k2_xcmplx_0(A, B), 2)))) ) ) ) ) ) ) ).
fof(t48_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(k1_newton(k2_xcmplx_0(k2_xcmplx_0(A, B), 1), 2), k2_xcmplx_0(k1_newton(A, 2), k1_newton(k2_xcmplx_0(A, B), 2))) & r1_xxreal_0(k2_xcmplx_0(k1_newton(k2_xcmplx_0(k2_xcmplx_0(A, C), 1), 2), k1_newton(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(A, C), 1), B), 2)), k1_newton(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(A, C), 1), B), 1), 2))) ) ) ) ) ) ) ) ) ).
fof(t49_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(3, A) <=>  ~ (r1_xxreal_0(k2_xcmplx_0(k1_newton(A, 2), k1_newton(A, 2)), k1_newton(k2_xcmplx_0(A, 1), 2))) ) ) ) ).
fof(t50_newton01, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ (r1_xxreal_0(k1_newton(3, k2_xcmplx_0(3, A)), k2_xcmplx_0(k1_newton(2, k2_xcmplx_0(3, A)), k1_newton(2, k2_xcmplx_0(3, A))))) ) ) ).
fof(rd1_newton02, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(1, k1_newton(A, k5_numbers))=1) ) ).
fof(rd2_newton02, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => k1_newton(k5_numbers, A)=k5_numbers) ) ).
fof(rd3_newton02, axiom,  (! [A] :  (v7_ordinal1(A) => k9_complex1(A)=A) ) ).
fof(rd4_newton02, axiom,  (! [A] :  (v7_ordinal1(A) => k3_int_2(A, k5_numbers)=A) ) ).
fof(rd5_newton02, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => k5_int_1(k5_int_1(A, B), B)=k5_int_1(A, B)) ) ).
fof(rd6_newton02, axiom,  (! [A] :  (v1_int_1(A) => k5_int_1(k5_numbers, A)=k5_numbers) ) ).
fof(rd7_newton02, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => k5_int_1(k2_xcmplx_0(k5_numbers, k3_xcmplx_0(A, B)), B)=k5_numbers) ) ).
fof(fc1_newton02, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  & v1_xreal_0(A))  &  (v7_ordinal1(B) & v1_abian(B)) )  => v2_xxreal_0(k1_newton(A, B))) ) ).
fof(fc2_newton02, axiom,  (! [A] :  (v1_xreal_0(A) => v5_relat_1(k5_finseq_1(A), k1_numbers)) ) ).
fof(fc3_newton02, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  & v7_ordinal1(C))  =>  (v1_relat_1(k16_finseq_1(C, B)) &  (v5_relat_1(k16_finseq_1(C, B), A) &  (v1_funct_1(k16_finseq_1(C, B)) & v1_finseq_1(k16_finseq_1(C, B))) ) ) ) ) ).
fof(fc4_newton02, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, A) & v7_ordinal1(C))  =>  (v1_relat_1(k1_rfinseq(C, B)) &  (v5_relat_1(k1_rfinseq(C, B), A) &  (v1_funct_1(k1_rfinseq(C, B)) & v1_finseq_1(k1_rfinseq(C, B))) ) ) ) ) ).
fof(fc5_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_xboole_0(k1_rfinseq(A, k1_xboole_0)) &  (v1_relat_1(k1_rfinseq(A, k1_xboole_0)) &  (v1_funct_1(k1_rfinseq(A, k1_xboole_0)) & v1_finseq_1(k1_rfinseq(A, k1_xboole_0))) ) ) ) ) ).
fof(fc6_newton02, axiom,  (! [A, B] :  ( (m1_finseq_1(A, k1_numbers) & v7_ordinal1(B))  =>  (v1_xboole_0(k1_rfinseq(B, k17_finseq_1(k1_numbers, B, A))) &  (v1_relat_1(k1_rfinseq(B, k17_finseq_1(k1_numbers, B, A))) &  (v1_funct_1(k1_rfinseq(B, k17_finseq_1(k1_numbers, B, A))) & v1_finseq_1(k1_rfinseq(B, k17_finseq_1(k1_numbers, B, A)))) ) ) ) ) ).
fof(fc7_newton02, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  & v7_ordinal1(C))  =>  (v1_relat_1(k1_rfinseq(C, B)) &  (v5_relat_1(k1_rfinseq(C, B), A) &  (v1_funct_1(k1_rfinseq(C, B)) & v1_finseq_1(k1_rfinseq(C, B))) ) ) ) ) ).
fof(fc8_newton02, axiom,  (! [A, B] :  ( (m1_finseq_1(A, k4_ordinal1) & v7_ordinal1(B))  => v7_ordinal1(k1_funct_1(A, B))) ) ).
fof(fc9_newton02, axiom,  (! [A, B, C] :  ( (m1_finseq_1(A, k4_ordinal1) &  (v7_ordinal1(B) & v7_ordinal1(C)) )  => v7_ordinal1(k1_funct_1(k17_finseq_1(k4_ordinal1, B, A), C))) ) ).
fof(fc10_newton02, axiom,  (! [A, B, C] :  ( (m1_finseq_1(A, k4_ordinal1) &  (v7_ordinal1(B) & v7_ordinal1(C)) )  => v7_ordinal1(k1_funct_1(k2_rfinseq(k4_ordinal1, 1, k17_finseq_1(k4_ordinal1, B, A)), C))) ) ).
fof(fc11_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ (v1_xboole_0(k6_newton(A))) ) ) ).
fof(fc12_newton02, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k1_funct_1(k6_newton(A), B))) ) ).
fof(fc13_newton02, axiom,  (! [A] :  (v7_ordinal1(A) => v5_relat_1(k6_newton(A), k4_ordinal1)) ) ).
fof(fc14_newton02, axiom,  (! [A] :  (m1_finseq_1(A, k4_ordinal1) =>  (v7_ordinal1(k16_rvsum_1(A)) & v1_xcmplx_0(k16_rvsum_1(A))) ) ) ).
fof(fc15_newton02, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) & v2_xxreal_0(A))  & v7_ordinal1(B))  => v7_ordinal1(k6_xcmplx_0(k1_newton(B, A), B))) ) ).
fof(ie1_newton02, axiom,  (! [A] :  (v7_ordinal1(A) => k1_newton02(A)=k6_newton(A)) ) ).
fof(ie2_newton02, axiom,  (! [A] :  (v7_ordinal1(A) => k6_newton(A)=k1_newton02(A)) ) ).
fof(fc16_newton02, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v7_ordinal1(C) & v7_ordinal1(D)) ) )  => v7_ordinal1(k1_funct_1(k5_newton(A, B, C), D))) ) ).
fof(fc17_newton02, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) & v7_ordinal1(C)) )  => v5_relat_1(k5_newton(A, B, C), k4_ordinal1)) ) ).
fof(t1_newton02, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) => k3_int_2(A, B)=k3_int_2(k4_xcmplx_0(A), B)) ) ) ) ).
fof(t2_newton02, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  ( (r1_int_1(A, D) & r1_int_1(B, C))  => r1_int_1(k3_xcmplx_0(A, B), k3_xcmplx_0(D, C))) ) ) ) ) ) ) ) ) ).
fof(t3_newton02, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (r1_int_1(A, B) <=> k3_int_2(A, B)=k9_complex1(A)) ) ) ) ) ).
fof(t4_newton02, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (r1_int_1(k3_xcmplx_0(A, B), k3_xcmplx_0(C, B)) <=> k3_xcmplx_0(k9_complex1(B), k3_int_2(A, C))=k3_xcmplx_0(k9_complex1(B), k9_complex1(A))) ) ) ) ) ) ) ).
fof(t5_newton02, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (k3_int_2(k2_xcmplx_0(A, k3_xcmplx_0(B, C)), C)=k3_int_2(A, C) & k3_int_2(k6_xcmplx_0(A, k3_xcmplx_0(B, C)), C)=k3_int_2(A, C)) ) ) ) ) ) ) ).
fof(t6_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => r1_int_1(B, k1_newton(B, A))) ) ) ) ) ).
fof(t7_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k3_int_2(k1_newton(A, C), k1_newton(B, C))=k1_newton(k3_int_2(A, B), C)) ) ) ) ) ) ).
fof(t8_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_int_2(A, B) =>  (r1_xxreal_0(A, B) | r1_xxreal_0(k3_int_2(k2_xcmplx_0(A, B), k6_xcmplx_0(A, B)), 2)) ) ) ) ) ) ).
fof(t9_newton02, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (v1_abian(k3_int_2(A, B)) <=>  (v1_abian(A) & v1_abian(B)) ) ) ) ) ) ).
fof(t10_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (r1_int_1(B, k6_xcmplx_0(k1_newton(k2_xcmplx_0(B, C), A), k1_newton(C, A))) & r1_int_1(C, k6_xcmplx_0(k1_newton(k2_xcmplx_0(B, C), A), k1_newton(B, A)))) ) ) ) ) ) ) ).
fof(t11_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (r1_int_1(B, k1_newton(k2_xcmplx_0(B, C), A)) <=> r1_int_1(B, k1_newton(C, A))) ) ) ) ) ) ) ).
fof(t12_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (r1_int_1(B, k1_newton(k2_xcmplx_0(B, C), A)) => r1_int_1(B, k2_xcmplx_0(k1_newton(k2_xcmplx_0(B, C), A), k1_newton(C, A)))) ) ) ) ) ) ) ).
fof(t13_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) => r1_int_1(k2_xcmplx_0(B, C), k6_xcmplx_0(k1_newton(k2_xcmplx_0(B, k3_xcmplx_0(2, C)), A), k1_newton(C, A)))) ) ) ) ) ) ).
fof(t14_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (r1_int_1(B, C) =>  (r1_xxreal_0(A, k5_numbers) | r1_int_1(B, k1_newton(C, A))) ) ) ) ) ) ) ) ).
fof(t15_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (r1_int_1(B, C) => r1_int_1(k1_newton(B, A), k1_newton(C, A))) ) ) ) ) ) ) ).
fof(t16_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_int_1(B, k1_newton(k2_xcmplx_0(B, C), A)))  & r1_int_1(B, C)) ) ) ) ) ) ) ) ) ).
fof(t17_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => r1_int_1(k3_xcmplx_0(B, C), k6_xcmplx_0(k1_newton(k2_xcmplx_0(B, C), A), k2_xcmplx_0(k1_newton(B, A), k1_newton(C, A))))) ) ) ) ) ) ) ).
fof(t18_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) => r1_int_1(k6_xcmplx_0(B, C), k6_xcmplx_0(k1_newton(B, A), k1_newton(C, A)))) ) ) ) ) ) ).
fof(t19_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => r1_int_1(k3_xcmplx_0(B, C), k6_xcmplx_0(k1_newton(k6_xcmplx_0(B, C), A), k2_xcmplx_0(k1_newton(B, A), k1_newton(k4_xcmplx_0(C), A))))) ) ) ) ) ) ) ).
fof(t20_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) => r1_int_1(k3_xcmplx_0(B, C), k2_xcmplx_0(k6_xcmplx_0(k1_newton(k2_xcmplx_0(B, C), A), k1_newton(k6_xcmplx_0(B, C), A)), k6_xcmplx_0(k1_newton(k4_xcmplx_0(C), A), k1_newton(C, A))))) ) ) ) ) ) ).
fof(t21_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => r1_int_1(B, k2_xcmplx_0(k1_newton(k2_xcmplx_0(B, C), A), k6_xcmplx_0(k1_newton(B, A), k1_newton(C, A))))) ) ) ) ) ) ) ).
fof(t22_newton02, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ( (r1_int_1(B, k2_xcmplx_0(A, C)) & r1_int_1(B, k6_xcmplx_0(A, C)))  =>  (r1_int_1(B, k3_xcmplx_0(2, A)) & r1_int_1(B, k3_xcmplx_0(2, C))) ) ) ) ) ) ) ) ).
fof(t23_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) => r1_int_1(k3_xcmplx_0(B, C), k6_xcmplx_0(k1_newton(k2_xcmplx_0(B, C), k3_xcmplx_0(2, A)), k1_newton(k6_xcmplx_0(B, C), k3_xcmplx_0(2, A))))) ) ) ) ) ) ).
fof(t24_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => r1_int_1(k3_xcmplx_0(B, C), k6_xcmplx_0(k1_newton(k6_xcmplx_0(B, C), k3_xcmplx_0(2, A)), k2_xcmplx_0(k1_newton(B, k3_xcmplx_0(2, A)), k1_newton(C, k3_xcmplx_0(2, A)))))) ) ) ) ) ) ) ).
fof(t25_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) => r1_int_1(k3_xcmplx_0(B, C), k6_xcmplx_0(k1_newton(k6_xcmplx_0(B, C), k2_xcmplx_0(k3_xcmplx_0(2, A), 1)), k6_xcmplx_0(k1_newton(B, k2_xcmplx_0(k3_xcmplx_0(2, A), 1)), k1_newton(C, k2_xcmplx_0(k3_xcmplx_0(2, A), 1)))))) ) ) ) ) ) ).
fof(t26_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_int_1(B, k2_xcmplx_0(A, C)) & r1_int_1(B, k6_xcmplx_0(A, C)))  =>  (r1_xxreal_0(C, k5_numbers) | r1_xxreal_0(B, k3_xcmplx_0(2, C))) ) ) ) ) ) ) ) ).
fof(t27_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  => r1_xxreal_0(k3_int_2(A, B), k3_int_2(A, k3_xcmplx_0(B, C)))) ) ) ) ) ) ) ).
fof(t28_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  => k3_int_2(k3_int_2(A, B), k1_newton(B, C))=k3_int_2(A, B)) ) ) ) ) ) ) ).
fof(t29_newton02, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (r1_int_2(k2_xcmplx_0(A, B), A) <=> r1_int_2(k2_xcmplx_0(A, B), B)) ) ) ) ) ).
fof(t30_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_int_2(A, B) &  (k3_xcmplx_0(A, B)=k1_newton(C, D) &  (! [E] :  (v7_ordinal1(E) =>  ~ (k1_newton(E, D)=A) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_int_2(B, C) =>  (r1_xxreal_0(k2_xcmplx_0(B, C), 2) |  (r1_int_1(k2_xcmplx_0(B, C), k2_xcmplx_0(k1_newton(B, A), k1_newton(C, A))) <=>  ~ (r1_int_1(k2_xcmplx_0(B, C), k6_xcmplx_0(k1_newton(B, A), k1_newton(C, A)))) ) ) ) ) ) ) ) ) ) ).
fof(t32_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_int_2(A, B) &  ( ~ (r1_xxreal_0(k2_xcmplx_0(A, B), 2))  &  ( ~ (v1_abian(C))  & r1_int_1(k2_xcmplx_0(A, B), k6_xcmplx_0(k1_newton(A, C), k1_newton(B, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t33_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_int_2(A, B) &  ( ~ (r1_xxreal_0(k2_xcmplx_0(A, B), 2))  &  (v1_abian(C) & r1_int_1(k2_xcmplx_0(A, B), k2_xcmplx_0(k1_newton(A, C), k1_newton(B, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t34_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_int_2(A, B) => r1_int_2(k3_xcmplx_0(A, B), k2_xcmplx_0(k1_newton(A, k2_xcmplx_0(C, 1)), k1_newton(B, k2_xcmplx_0(C, 1))))) ) ) ) ) ) ) ).
fof(t35_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_int_2(A, B) => r1_int_2(k3_xcmplx_0(A, B), k6_xcmplx_0(k1_newton(A, k2_xcmplx_0(C, 1)), k1_newton(B, k2_xcmplx_0(C, 1))))) ) ) ) ) ) ) ).
fof(t36_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  ( ~ (r1_xxreal_0(A, k5_numbers))  &  (! [C] :  (v1_xreal_0(C) =>  ~ (B=k1_newton(C, A)) ) ) ) ) ) ) ) ) ) ).
fof(t37_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  ( ~ (r1_xxreal_0(k2_xcmplx_0(A, B), C))  &  (r1_int_1(k2_xcmplx_0(A, B), k3_xcmplx_0(C, A)) & r1_int_2(A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t38_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(B, 1))  & r1_int_1(B, k1_newton(k2_xcmplx_0(B, 1), A))) ) ) ) ) ) ).
fof(t39_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(A, 1))  &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  (k3_int_2(A, B)=1 & r1_int_1(A, k1_newton(k2_xcmplx_0(A, B), C))) ) ) ) ) ) ) ) ) ) ).
fof(t40_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  =>  (! [B] :  ( (v1_xreal_0(B) &  ~ (v3_xxreal_0(B)) )  =>  (! [C] :  ( (v1_xreal_0(C) &  ~ (v3_xxreal_0(C)) )  =>  ( ~ ( ( ~ (r1_xxreal_0(C, B))  & r1_xxreal_0(k1_newton(C, A), k1_newton(B, A))) )  &  ~ ( ( ~ (r1_xxreal_0(k1_newton(C, A), k1_newton(B, A)))  & r1_xxreal_0(C, B)) ) ) ) ) ) ) ) ) ) ).
fof(t41_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_xreal_0(B) &  ~ (v3_xxreal_0(B)) )  =>  (! [C] :  ( (v1_xreal_0(C) &  ~ (v3_xxreal_0(C)) )  =>  (r1_xxreal_0(C, B) => r1_xxreal_0(k1_newton(C, A), k1_newton(B, A))) ) ) ) ) ) ) ).
fof(t42_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v1_xreal_0(D) =>  ~ (k2_xcmplx_0(k1_newton(A, C), k1_newton(B, C))=k1_newton(D, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(k1_newton(C, k2_xcmplx_0(A, 1)), B) &  ~ (r1_xxreal_0(k1_newton(k2_xcmplx_0(C, 1), k2_xcmplx_0(A, 1)), B)) ) ) ) ) ) ) ) ).
fof(t44_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_int_2(A, B) =>  (r1_xxreal_0(C, k5_numbers) |  (r1_xxreal_0(A, B) | r1_xxreal_0(k3_int_2(k2_xcmplx_0(k1_newton(A, C), k1_newton(B, C)), k6_xcmplx_0(k1_newton(A, C), k1_newton(B, C))), 2)) ) ) ) ) ) ) ) ) ).
fof(t45_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_int_1(k2_xcmplx_0(A, B), C) & r1_int_2(A, C))  => r1_int_2(A, B)) ) ) ) ) ) ) ).
fof(t46_newton02, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ( (r1_int_2(A, C) &  (r1_int_2(A, B) & v1_abian(A)) )  =>  (v1_abian(k2_xcmplx_0(B, C)) &  (v1_abian(k6_xcmplx_0(B, C)) &  ~ (v1_abian(k3_xcmplx_0(B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t47_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_int_2(A, B) &  (v1_abian(C) & k2_xcmplx_0(k1_newton(A, D), k1_newton(B, D))=k1_newton(C, D)) )  =>  (v1_abian(k2_xcmplx_0(A, B)) & v1_abian(k6_xcmplx_0(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(t48_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (v1_abian(A) & r1_int_2(A, B))  => r1_int_2(k6_xcmplx_0(A, B), k2_xcmplx_0(A, B))) ) ) ) ) ).
fof(t49_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_int_2(A, B) => r1_int_2(k2_xcmplx_0(A, B), k3_xcmplx_0(A, B))) ) ) ) ) ).
fof(t50_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_int_1(3, k3_xcmplx_0(A, B)))  => r1_int_1(3, k3_xcmplx_0(k2_xcmplx_0(A, B), k6_xcmplx_0(A, B)))) ) ) ) ) ).
fof(t51_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_int_1(3, k2_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(A, B), k6_xcmplx_0(A, B)), k3_xcmplx_0(A, B))) <=>  (r1_int_1(3, A) & r1_int_1(3, B)) ) ) ) ) ) ).
fof(t52_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (k1_newton(B, 2)=k3_xcmplx_0(A, k6_xcmplx_0(A, B)) =>  (r1_int_1(3, A) & r1_int_1(3, B)) ) ) ) ) ) ).
fof(t53_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_int_2(A, B) & r1_int_1(3, k2_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(A, B), k6_xcmplx_0(A, B)), k3_xcmplx_0(A, B)))) ) ) ) ) ) ).
fof(t54_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  (r1_xxreal_0(k1_newton(2, k2_xcmplx_0(C, 1)), k2_xcmplx_0(A, B)) & r1_xxreal_0(A, k1_newton(2, C))) ) ) ) ) ) ) ) ) ).
fof(t55_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (A=B)  & r1_xxreal_0(k2_xcmplx_0(k1_newton(A, 2), k1_newton(B, 2)), k3_xcmplx_0(k3_xcmplx_0(2, A), B))) ) ) ) ) ) ).
fof(t56_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  ( ~ (A=B)  & r1_xxreal_0(k2_xcmplx_0(k1_newton(A, k3_xcmplx_0(2, C)), k1_newton(B, k3_xcmplx_0(2, C))), k3_xcmplx_0(k3_xcmplx_0(2, k1_newton(A, C)), k1_newton(B, C)))) ) ) ) ) ) ) ) ) ).
fof(t57_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(k1_newton(2, B), A) &  ~ (r1_xxreal_0(k1_newton(2, k2_xcmplx_0(B, 1)), A)) ) ) ) ) ) ) ) ) ).
fof(t58_newton02, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_abian(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v1_abian(B)) )  =>  (r1_int_1(4, k2_xcmplx_0(A, B)) <=>  ~ (r1_int_1(4, k6_xcmplx_0(A, B))) ) ) ) ) ) ).
fof(t59_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (k3_int_2(k2_xcmplx_0(A, B), A)=1 =>  (v1_abian(B) | k3_int_2(k2_xcmplx_0(k3_xcmplx_0(2, A), B), B)=1) ) ) ) ) ) ).
fof(t60_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (k2_xcmplx_0(A, B)=k2_xcmplx_0(k3_xcmplx_0(C, A), k3_xcmplx_0(C, B)) =>  (r1_xxreal_0(k3_xcmplx_0(A, B), k5_numbers) | C=1) ) ) ) ) ) ) ) ).
fof(t61_newton02, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (k3_xcmplx_0(A, B)=k2_xcmplx_0(A, B) => A=B) ) ) ) ) ).
fof(t62_newton02, axiom,  (! [A] :  (v7_ordinal1(A) => k1_newton(k2_xcmplx_0(k3_xcmplx_0(2, A), 1), 2)=k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(4, A), k2_xcmplx_0(A, 1)), 1)) ) ).
fof(t63_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (v1_abian(A))  &  ( ~ (v1_abian(B))  &  ~ (r1_int_1(8, k6_xcmplx_0(k1_newton(A, 2), k1_newton(B, 2)))) ) ) ) ) ) ) ) ).
fof(t64_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v1_abian(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v1_abian(C)) )  =>  (r1_int_1(4, k6_xcmplx_0(B, C)) => r1_int_1(4, k6_xcmplx_0(k1_newton(B, A), k1_newton(C, A)))) ) ) ) ) ) ) ).
fof(t65_newton02, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_abian(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v1_abian(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) & v1_abian(C))  => r1_int_1(4, k6_xcmplx_0(k1_newton(A, C), k1_newton(B, C)))) ) ) ) ) ) ).
fof(t66_newton02, axiom,  (! [A] :  (v1_int_1(A) =>  ~ ( (v1_abian(A) &  ( ~ (r1_int_1(4, A))  &  (! [B] :  (v1_int_1(B) =>  ~ ( (B=k7_xcmplx_0(A, 2) &  ~ (v1_abian(B)) ) ) ) ) ) ) ) ) ) ).
fof(t67_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_int_1(k1_newton(2, C), k3_xcmplx_0(A, B)) =>  (v1_abian(A) | r1_int_1(k1_newton(2, C), B)) ) ) ) ) ) ) ) ).
fof(t68_newton02, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_abian(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v1_abian(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v1_abian(C)) )  =>  (r1_int_1(4, k2_xcmplx_0(k1_newton(A, C), k1_newton(B, C))) <=> r1_int_1(4, k2_xcmplx_0(A, B))) ) ) ) ) ) ) ).
fof(t69_newton02, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_abian(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v1_abian(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v1_abian(C)) )  =>  (r1_int_1(4, k6_xcmplx_0(A, B)) <=>  ~ (r1_int_1(4, k2_xcmplx_0(k1_newton(A, C), k1_newton(B, C)))) ) ) ) ) ) ) ) ).
fof(t70_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (k2_xcmplx_0(k1_newton(A, 2), k1_newton(B, 2))=k1_newton(C, 2) &  (! [D] :  (v1_int_1(D) =>  ~ (k1_newton(B, 2)=k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2, A), D), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_int_1(C) =>  ~ ( (k1_newton(B, 2)=k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2, A), C), C) &  (! [D] :  (v7_ordinal1(D) =>  ~ (k2_xcmplx_0(k1_newton(A, 2), k1_newton(B, 2))=k1_newton(D, 2)) ) ) ) ) ) ) ) ) ) ) ).
fof(t72_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( ( ~ (v1_abian(A))  &  ( ~ (v1_abian(B))  &  (v1_abian(D) & k2_xcmplx_0(k1_newton(A, D), k1_newton(B, D))=k1_newton(C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t73_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (r1_int_2(B, k1_newton(C, A)) =>  (r1_xxreal_0(A, k5_numbers) | r1_int_2(B, C)) ) ) ) ) ) ) ) ).
fof(t74_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_int_2(A, B) => k3_int_2(k1_newton(k2_xcmplx_0(A, B), 2), k6_xcmplx_0(k2_xcmplx_0(k1_newton(A, 2), k1_newton(B, 2)), k3_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(C, 2), A), B)))=k3_int_2(k6_xcmplx_0(k2_xcmplx_0(k1_newton(A, 2), k1_newton(B, 2)), k3_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(C, 2), A), B)), C)) ) ) ) ) ) ) ).
fof(t75_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_int_2(A, B) => r1_int_2(k2_xcmplx_0(A, B), k2_xcmplx_0(k2_xcmplx_0(k1_newton(A, 2), k1_newton(B, 2)), k3_xcmplx_0(A, B)))) ) ) ) ) ).
fof(t76_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_int_2(A, B) => k3_int_2(k1_newton(k6_xcmplx_0(A, B), 2), k2_xcmplx_0(k2_xcmplx_0(k1_newton(A, 2), k1_newton(B, 2)), k3_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(C, 2), A), B)))=k3_int_2(k2_xcmplx_0(k2_xcmplx_0(k1_newton(A, 2), k1_newton(B, 2)), k3_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(C, 2), A), B)), C)) ) ) ) ) ) ) ).
fof(t77_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_int_1(A, k3_xcmplx_0(C, k2_xcmplx_0(k3_xcmplx_0(A, B), 1))) <=> r1_int_1(A, C)) ) ) ) ) ) ) ).
fof(t78_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v7_ordinal1(C) & v2_xxreal_0(C))  =>  (r1_int_1(A, k3_xcmplx_0(B, k2_xcmplx_0(k1_newton(A, C), 1))) <=> r1_int_1(A, B)) ) ) ) ) ) ) ).
fof(t79_newton02, axiom,  (! [A] :  ( (v7_ordinal1(A) & v2_xxreal_0(A))  =>  (! [B] :  ( (v7_ordinal1(B) & v2_xxreal_0(B))  =>  (k5_int_1(A, B)=k5_int_1(B, A) => A=B) ) ) ) ) ).
fof(t80_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k5_int_1(k3_xcmplx_0(C, k2_xcmplx_0(k3_xcmplx_0(A, B), 1)), A)=k5_int_1(C, A)) ) ) ) ) ) ).
fof(t81_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v7_ordinal1(C) & v2_xxreal_0(C))  => k5_int_1(k3_xcmplx_0(B, k2_xcmplx_0(k1_newton(A, C), 1)), A)=k5_int_1(B, A)) ) ) ) ) ) ).
fof(t82_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v7_ordinal1(D) & v2_xxreal_0(D))  => k5_int_1(k3_xcmplx_0(C, k1_newton(k2_xcmplx_0(k1_newton(A, D), 1), B)), A)=k5_int_1(C, A)) ) ) ) ) ) ) ) ).
fof(t83_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( (v7_ordinal1(F) & v2_xxreal_0(F))  => k5_int_1(k2_xcmplx_0(k3_xcmplx_0(B, k1_newton(k2_xcmplx_0(k1_newton(A, F), 1), D)), k3_xcmplx_0(C, k1_newton(k2_xcmplx_0(k1_newton(A, F), 1), E))), A)=k5_int_1(k2_xcmplx_0(B, C), A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t84_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v7_ordinal1(E) & v2_xxreal_0(E))  =>  (! [F] :  ( (v7_ordinal1(F) & v2_xxreal_0(F))  =>  (r1_int_1(E, k2_xcmplx_0(k3_xcmplx_0(A, k1_newton(k2_xcmplx_0(k1_newton(E, F), 1), C)), k3_xcmplx_0(B, k1_newton(k2_xcmplx_0(k1_newton(E, F), 1), D)))) <=> r1_int_1(E, k2_xcmplx_0(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t85_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  ~ ( ( ~ (r1_xxreal_0(A, k9_complex1(B)))  &  ( ~ (k5_int_1(B, A)=k9_complex1(B))  &  ~ (k5_int_1(B, A)=k6_xcmplx_0(A, k9_complex1(B))) ) ) ) ) ) ) ) ).
fof(t86_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) => k5_int_1(k4_xcmplx_0(B), A)=k5_int_1(k6_xcmplx_0(k3_xcmplx_0(C, A), k5_int_1(B, A)), A)) ) ) ) ) ) ).
fof(t87_newton02, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v1_abian(B)) )  => k5_int_1(k1_newton(A, B), 3)=k5_int_1(A, 3)) ) ) ) ).
fof(t88_newton02, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) => k5_int_1(k2_xcmplx_0(A, k5_int_1(B, C)), C)=k5_int_1(k2_xcmplx_0(A, B), C)) ) ) ) ) ) ).
fof(t89_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v7_ordinal1(D) &  ~ (v1_abian(D)) )  => k5_int_1(k6_xcmplx_0(k2_xcmplx_0(A, B), C), 3)=k5_int_1(k6_xcmplx_0(k2_xcmplx_0(k1_newton(A, D), k1_newton(B, D)), k1_newton(C, D)), 3)) ) ) ) ) ) ) ) ).
fof(t90_newton02, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v2_xxreal_0(B))  =>  (k5_int_1(A, B)=k6_xcmplx_0(B, 1) <=> k5_int_1(k2_xcmplx_0(A, 1), B)=k5_numbers) ) ) ) ) ).
fof(t91_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (k2_xcmplx_0(k1_newton(A, 2), k1_newton(B, 2))=k1_newton(C, 2) => r1_int_1(3, k3_xcmplx_0(k3_xcmplx_0(A, B), C))) ) ) ) ) ) ) ).
fof(t92_newton02, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (! [D] :  ( (v7_ordinal1(D) &  ~ (v8_ordinal1(D)) )  =>  (k5_int_1(A, C)=k5_int_1(B, C) => k5_int_1(k1_newton(A, D), C)=k5_int_1(k1_newton(B, D), C)) ) ) ) ) ) ) ) ) ).
fof(t93_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (r1_int_1(3, k6_xcmplx_0(B, C)) => r1_int_1(3, k6_xcmplx_0(k1_newton(B, A), k1_newton(C, A)))) ) ) ) ) ) ) ).
fof(t94_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v7_ordinal1(D) &  ~ (v1_abian(D)) )  =>  (r1_int_1(3, k6_xcmplx_0(k2_xcmplx_0(A, B), C)) <=> r1_int_1(3, k6_xcmplx_0(k2_xcmplx_0(k1_newton(A, D), k1_newton(B, D)), k1_newton(C, D)))) ) ) ) ) ) ) ) ) ).
fof(t95_newton02, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) => r2_int_1(k1_newton(k6_xcmplx_0(k2_xcmplx_0(A, B), C), 2), k2_xcmplx_0(k2_xcmplx_0(k1_newton(A, 2), k1_newton(B, 2)), k1_newton(C, 2)), 2)) ) ) ) ) ) ).
fof(t96_newton02, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) => r2_int_1(k1_newton(k6_xcmplx_0(k2_xcmplx_0(A, B), C), 3), k6_xcmplx_0(k2_xcmplx_0(k1_newton(A, 3), k1_newton(B, 3)), k1_newton(C, 3)), 3)) ) ) ) ) ) ).
fof(t97_newton02, axiom,  (! [A] :  (v7_ordinal1(A) => r1_int_1(6, k6_xcmplx_0(k1_newton(A, 3), A))) ) ).
fof(t98_newton02, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v1_abian(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v1_abian(C)) )  =>  (! [D] :  ( (v7_ordinal1(D) &  ~ (v1_abian(D)) )  => r1_int_1(3, k2_xcmplx_0(k2_xcmplx_0(k1_newton(A, B), k1_newton(A, C)), k1_newton(A, D)))) ) ) ) ) ) ) ) ).
fof(t99_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_int_1(k6_xcmplx_0(k1_newton(2, A), 1), k6_xcmplx_0(k1_newton(2, k2_xcmplx_0(k3_xcmplx_0(2, A), 1)), 2)) & r1_int_1(k2_xcmplx_0(k1_newton(2, A), 1), k6_xcmplx_0(k1_newton(2, k2_xcmplx_0(k3_xcmplx_0(2, A), 1)), 2))) ) ) ).
fof(t100_newton02, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (v1_abian(k2_xcmplx_0(k2_xcmplx_0(B, A), C)) => v1_abian(k3_xcmplx_0(k3_xcmplx_0(B, A), C))) ) ) ) ) ) ) ).
fof(t101_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  (k2_xcmplx_0(k1_newton(B, A), k1_newton(C, A))=k1_newton(D, A) => r1_int_1(k1_newton(2, A), k1_newton(k3_xcmplx_0(k3_xcmplx_0(B, C), D), A))) ) ) ) ) ) ) ) ) ).
fof(t102_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_int_1(C) => r2_int_1(k1_newton(C, B), k1_newton(C, A), k6_xcmplx_0(C, 1))) ) ) ) ) ) ).
fof(t103_newton02, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (v5_relat_1(B, A) <=> m2_finseq_1(B, A)) ) ) ) ).
fof(t104_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(k2_xcmplx_0(B, 1), k2_finseq_1(A)) <=>  ~ (r1_xxreal_0(A, B)) ) ) ) ) ) ).
fof(t105_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (r1_xxreal_0(k2_xcmplx_0(A, 1), k3_finseq_1(B)) <=> r2_tarski(k2_xcmplx_0(A, 1), k4_finseq_1(B))) ) ) ) ) ).
fof(t106_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k6_ordinal1(A)) <=> r2_tarski(k2_xcmplx_0(B, 1), k2_finseq_1(A))) ) ) ) ) ).
fof(t107_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  ( (r2_tarski(B, k4_finseq_1(C)) &  (r1_xxreal_0(1, A) & r1_xxreal_0(A, B)) )  => k1_funct_1(C, A)=k1_funct_1(k17_finseq_1(k1_numbers, B, C), A)) ) ) ) ) ) ) ).
fof(t108_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  (m2_finseq_1(B, C) =>  (m2_finseq_1(k17_finseq_1(k1_numbers, A, B), C) & m2_finseq_1(k2_rfinseq(k1_numbers, A, B), C)) ) ) ) ) ) ) ).
fof(t109_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (r2_tarski(A, k4_finseq_1(B)) => k1_funct_1(k17_finseq_1(k1_numbers, A, B), 1)=k1_funct_1(B, 1)) ) ) ) ) ).
fof(t110_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (r2_tarski(A, k4_finseq_1(B)) => k3_finseq_1(k17_finseq_1(k1_numbers, A, B))=A) ) ) ) ) ).
fof(t111_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, k2_numbers) =>  (r2_tarski(B, k4_finseq_1(k17_finseq_1(k2_numbers, A, C))) => r2_tarski(B, k4_finseq_1(C))) ) ) ) ) ) ) ).
fof(t112_newton02, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) => k18_rvsum_1(k8_finseq_1(k1_numbers, A, B))=k2_xcmplx_0(k18_rvsum_1(A), k18_rvsum_1(B))) ) ) ) ).
fof(t113_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  ( (r2_tarski(B, k4_finseq_1(k2_rfinseq(k1_numbers, A, C))) & r2_tarski(A, k4_finseq_1(C)))  => r2_tarski(k2_xcmplx_0(A, B), k4_finseq_1(C))) ) ) ) ) ) ) ).
fof(t114_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  ( (v7_ordinal1(C) & v2_xxreal_0(C))  =>  (r2_tarski(k2_xcmplx_0(A, C), k4_finseq_1(B)) => r2_tarski(C, k4_finseq_1(k2_rfinseq(k1_numbers, A, B)))) ) ) ) ) ) ) ).
fof(t115_newton02, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  ( (v7_ordinal1(B) & v2_xxreal_0(B))  =>  (k2_xcmplx_0(B, 1)=k3_finseq_1(A) => k18_rvsum_1(A)=k2_xcmplx_0(k2_xcmplx_0(k18_rvsum_1(k2_rfinseq(k1_numbers, 1, k17_finseq_1(k1_numbers, B, A))), k1_funct_1(A, 1)), k1_funct_1(A, k2_xcmplx_0(B, 1)))) ) ) ) ) ).
fof(t116_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (k2_xcmplx_0(A, 1)=k3_finseq_1(B) => k2_rfinseq(k1_numbers, A, B)=k9_finseq_1(k1_funct_1(B, k2_xcmplx_0(A, 1)))) ) ) ) ) ).
fof(t117_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  ( ~ (v1_xboole_0(k2_rfinseq(k1_numbers, 1, k17_finseq_1(k1_numbers, A, B))))  => r1_xxreal_0(k3_finseq_1(k2_rfinseq(k1_numbers, 1, k17_finseq_1(k1_numbers, A, B))), k6_xcmplx_0(k3_finseq_1(B), 1))) ) ) ) ) ).
fof(t118_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  ~ ( ( ~ (v1_xboole_0(k2_rfinseq(k1_numbers, 1, k17_finseq_1(k1_numbers, A, B))))  & r1_xxreal_0(A, k3_finseq_1(k2_rfinseq(k1_numbers, 1, k17_finseq_1(k1_numbers, A, B))))) ) ) ) ) ) ).
fof(t119_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (v1_int_2(A) =>  (B=k5_numbers |  (B=A | r1_int_1(A, k4_newton(B, A))) ) ) ) ) ) ) ).
fof(t120_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( (r1_xxreal_0(2, A) & r1_xxreal_0(k7_newton(k2_xcmplx_0(A, 1)), k1_newton(2, A))) ) ) ) ).
fof(t121_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ ( ( ~ (r1_xxreal_0(A, 1))  & r1_xxreal_0(k7_newton(A), 1)) )  &  ~ ( ( ~ (r1_xxreal_0(k7_newton(A), 1))  & r1_xxreal_0(A, 1)) ) ) ) ) ).
fof(t122_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( (r1_xxreal_0(2, A) & r1_xxreal_0(k1_newton(A, A), k7_newton(A))) ) ) ) ).
fof(t123_newton02, axiom,  (! [A] :  (v7_ordinal1(A) => r1_xxreal_0(k1_newton(2, A), k7_newton(k2_xcmplx_0(A, 1)))) ) ).
fof(t124_newton02, axiom,  (! [A] :  (v7_ordinal1(A) => r1_xxreal_0(k7_newton(A), k1_newton(A, A))) ) ).
fof(t125_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_int_2(A, k7_newton(B)) =>  (r1_xxreal_0(B, k5_numbers) | r1_int_2(A, B)) ) ) ) ) ) ).
fof(t126_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_int_2(A, k7_newton(k2_xcmplx_0(A, B))) &  ( ~ (A=1)  &  ~ ( (A=k5_numbers &  (B=k5_numbers | B=1) ) ) ) ) ) ) ) ) ) ).
fof(t127_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r2_tarski(C, k4_finseq_1(B)) & r2_tarski(A, k4_finseq_1(k2_rfinseq(k1_numbers, 1, k17_finseq_1(k1_numbers, C, B)))))  => k1_funct_1(k2_rfinseq(k1_numbers, 1, k17_finseq_1(k1_numbers, C, B)), A)=k1_funct_1(B, k2_xcmplx_0(A, 1))) ) ) ) ) ) ) ).
fof(t128_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => r2_tarski(A, k4_finseq_1(k6_newton(A)))) ) ) ).
fof(t129_newton02, axiom,  (! [A] :  (v7_ordinal1(A) => m2_finseq_1(k6_newton(A), k4_ordinal1)) ) ).
fof(t130_newton02, axiom,  (! [A] :  (v7_ordinal1(A) => k1_recdef_1(k6_newton(A), k2_xcmplx_0(A, 1))=1) ) ).
fof(t131_newton02, axiom,  (! [A] :  (v7_ordinal1(A) => k1_recdef_1(k6_newton(A), 1)=1) ) ).
fof(t132_newton02, axiom,  (! [A] :  ( (v7_ordinal1(A) & v2_xxreal_0(A))  => k18_rvsum_1(k6_newton(A))=k2_xcmplx_0(k2_xcmplx_0(k18_rvsum_1(k2_rfinseq(k1_numbers, 1, k17_finseq_1(k1_numbers, A, k6_newton(A)))), k1_recdef_1(k6_newton(A), 1)), k1_recdef_1(k6_newton(A), k2_xcmplx_0(A, 1)))) ) ).
fof(t133_newton02, axiom,  (! [A] :  ( (v7_ordinal1(A) & v2_xxreal_0(A))  => k18_rvsum_1(k6_newton(A))=k2_xcmplx_0(k18_rvsum_1(k2_rfinseq(k1_numbers, 1, k17_finseq_1(k1_numbers, A, k6_newton(A)))), 2)) ) ).
fof(t134_newton02, axiom,  (! [A] :  (v7_ordinal1(A) => k18_rvsum_1(k6_newton(A))=k2_xcmplx_0(k18_rvsum_1(k17_finseq_1(k1_numbers, A, k6_newton(A))), 1)) ) ).
fof(t135_newton02, axiom,  (! [A] :  (v7_ordinal1(A) => k3_finseq_1(k17_finseq_1(k1_numbers, A, k6_newton(A)))=A) ) ).
fof(t136_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(A, k4_finseq_1(k2_rfinseq(k1_numbers, 1, k17_finseq_1(k1_numbers, B, k6_newton(B))))) => k1_recdef_1(k2_rfinseq(k1_numbers, 1, k17_finseq_1(k1_numbers, B, k6_newton(B))), A)=k1_recdef_1(k6_newton(B), k2_xcmplx_0(A, 1))) ) ) ) ) ).
fof(t137_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (v1_int_2(A) => r1_int_1(A, k1_recdef_1(k2_rfinseq(k1_numbers, 1, k17_finseq_1(k1_numbers, A, k6_newton(A))), B))) ) ) ) ) ).
fof(t138_newton02, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  => r1_int_1(A, k6_xcmplx_0(k1_newton(2, A), 2))) ) ).
fof(t139_newton02, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  => r1_int_1(k3_xcmplx_0(B, A), k3_xcmplx_0(k6_xcmplx_0(k1_newton(2, B), 2), k6_xcmplx_0(k1_newton(2, A), 2)))) ) ) ) ).
fof(t140_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ( ~ (v1_abian(B))  & v1_int_2(B)) )  =>  (B=k2_xcmplx_0(k3_xcmplx_0(2, A), 1) =>  (r1_int_1(B, k6_xcmplx_0(k1_newton(2, A), 1)) <=>  ~ (r1_int_1(B, k2_xcmplx_0(k1_newton(2, A), 1))) ) ) ) ) ) ) ).
fof(d1_newton02, axiom,  (! [A] :  (v7_ordinal1(A) => k1_newton02(A)=k5_newton(1, 1, A)) ) ).
fof(t141_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  => r2_tarski(C, k4_finseq_1(k5_newton(A, B, C)))) ) ) ) ) ) ) ).
fof(t142_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (v1_int_2(k2_xcmplx_0(C, D)) =>  (r1_xxreal_0(C, k5_numbers) |  (r1_xxreal_0(D, k5_numbers) | r1_int_1(k2_xcmplx_0(C, D), k1_recdef_1(k5_newton(A, B, k2_xcmplx_0(C, D)), k2_xcmplx_0(C, 1)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t143_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (A=k5_numbers)  & k1_recdef_1(k5_newton(A, B, C), 1)=k5_numbers) ) ) ) ) ) ) ) ).
fof(t144_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (A=k5_numbers <=> k1_recdef_1(k5_newton(A, B, C), 1)=k5_numbers) ) ) ) ) ) ) ).
fof(t145_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (k1_recdef_1(k5_newton(A, B, C), 1)=k5_numbers & C=k5_numbers) ) ) ) ) ) ) ) ).
fof(t146_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v7_ordinal1(C) & v2_xxreal_0(C))  => k18_rvsum_1(k5_newton(A, B, C))=k2_xcmplx_0(k2_xcmplx_0(k1_newton(A, C), k1_newton(B, C)), k18_rvsum_1(k2_rfinseq(k1_numbers, 1, k17_finseq_1(k1_numbers, C, k5_newton(A, B, C)))))) ) ) ) ) ) ).
fof(t147_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k18_rvsum_1(k5_newton(A, B, k2_xcmplx_0(C, D)))=k3_xcmplx_0(k18_rvsum_1(k5_newton(A, B, C)), k18_rvsum_1(k5_newton(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t148_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v7_ordinal1(E) =>  ~ (k1_recdef_1(k5_newton(A, B, k2_xcmplx_0(C, D)), k2_xcmplx_0(C, 1))=k3_xcmplx_0(A, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t149_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) =>  ~ (k1_recdef_1(k5_newton(A, B, C), 1)=k3_xcmplx_0(A, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t150_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v7_ordinal1(E) =>  ~ (k1_recdef_1(k5_newton(A, B, k2_xcmplx_0(C, D)), D)=k3_xcmplx_0(A, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t151_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (E=k1_recdef_1(k5_newton(A, B, k2_xcmplx_0(C, D)), k2_xcmplx_0(C, 1)) =>  (r1_xxreal_0(D, k5_numbers) | r1_int_1(A, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t152_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (! [C] :  ( (v7_ordinal1(C) & v2_xxreal_0(C))  =>  (! [D] :  ( (v7_ordinal1(D) & v2_xxreal_0(D))  => r1_int_1(k3_xcmplx_0(k3_xcmplx_0(B, C), D), k1_recdef_1(k2_rfinseq(k1_numbers, 1, k17_finseq_1(k1_numbers, B, k5_newton(C, D, B))), A))) ) ) ) ) ) ) ) ).
fof(t153_newton02, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( (v7_ordinal1(B) & v2_xxreal_0(B))  =>  (! [C] :  ( (v7_ordinal1(C) & v2_xxreal_0(C))  => r1_int_1(k3_xcmplx_0(k3_xcmplx_0(A, B), C), k6_xcmplx_0(k1_newton(k2_xcmplx_0(B, C), A), k2_xcmplx_0(k1_newton(B, A), k1_newton(C, A))))) ) ) ) ) ) ).
fof(t154_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  => r1_int_1(k3_xcmplx_0(B, A), k6_xcmplx_0(k1_newton(k2_xcmplx_0(A, 1), B), k2_xcmplx_0(k1_newton(A, B), 1)))) ) ) ) ).
fof(t155_newton02, axiom,  (! [A] :  ( (v7_ordinal1(A) & v2_xxreal_0(A))  =>  (! [B] :  ( (v7_ordinal1(B) & v2_xxreal_0(B))  => r1_int_1(k3_xcmplx_0(k3_xcmplx_0(2, A), B), k6_xcmplx_0(k1_newton(k2_xcmplx_0(A, B), 2), k2_xcmplx_0(k1_newton(A, 2), k1_newton(B, 2))))) ) ) ) ).
fof(t156_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  => r1_int_1(B, k6_xcmplx_0(k1_newton(A, B), A))) ) ) ) ).
fof(t157_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (v1_int_2(k2_xcmplx_0(B, 1)) =>  (r1_int_1(k2_xcmplx_0(B, 1), A) | r1_int_1(k2_xcmplx_0(B, 1), k6_xcmplx_0(k1_newton(A, B), 1))) ) ) ) ) ) ).
fof(t158_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v7_ordinal1(C) & v1_int_2(C))  =>  (r1_int_1(C, k2_xcmplx_0(A, B)) <=> r1_int_1(C, k2_xcmplx_0(k1_newton(A, C), k1_newton(B, C)))) ) ) ) ) ) ) ).
fof(t159_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_int_1(163, k2_xcmplx_0(A, B)) <=> r1_int_1(163, k2_xcmplx_0(k1_newton(A, 163), k1_newton(B, 163)))) ) ) ) ) ).
fof(t160_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (r1_int_1(B, A) <=> r1_int_1(B, k1_newton(A, B))) ) ) ) ) ).
fof(t161_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (r1_int_1(B, k2_xcmplx_0(k1_newton(A, B), 1)) <=> r1_int_1(B, k2_xcmplx_0(A, 1))) ) ) ) ) ).
fof(t162_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v7_ordinal1(C) & v1_int_2(C))  =>  (r1_int_1(C, k2_xcmplx_0(k1_newton(A, C), k1_newton(B, C))) <=> r1_int_1(C, k1_newton(k2_xcmplx_0(A, B), C))) ) ) ) ) ) ) ).
fof(t163_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_int_1(7, k2_xcmplx_0(k1_newton(A, 7), 1)) <=> r1_int_1(7, k2_xcmplx_0(A, 1))) ) ) ).
fof(t164_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_int_1(7, A))  => r1_int_1(7, k6_xcmplx_0(k1_newton(A, 6), 1))) ) ) ).
fof(t165_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (! [C] :  ( (v7_ordinal1(C) & v2_xxreal_0(C))  =>  (! [D] :  ( (v7_ordinal1(D) & v2_xxreal_0(D))  => r1_int_1(k3_xcmplx_0(k3_xcmplx_0(B, C), D), k6_xcmplx_0(k1_newton(k2_xcmplx_0(C, D), k3_xcmplx_0(A, B)), k1_newton(k2_xcmplx_0(k1_newton(C, B), k1_newton(D, B)), A)))) ) ) ) ) ) ) ) ).
fof(t166_newton02, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (! [C] :  ( (v7_ordinal1(C) & v2_xxreal_0(C))  =>  (! [D] :  ( (v7_ordinal1(D) & v2_xxreal_0(D))  =>  (r1_int_1(k3_xcmplx_0(k3_xcmplx_0(B, C), D), k6_xcmplx_0(k1_newton(k2_xcmplx_0(C, A), B), k2_xcmplx_0(k1_newton(C, B), k1_newton(D, B)))) => r1_int_1(k3_xcmplx_0(k3_xcmplx_0(B, C), D), k6_xcmplx_0(k1_newton(k2_xcmplx_0(C, D), B), k1_newton(k2_xcmplx_0(C, A), B)))) ) ) ) ) ) ) ) ) ).
fof(t167_newton02, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( (v7_ordinal1(B) & v2_xxreal_0(B))  =>  (! [C] :  ( (v7_ordinal1(C) & v2_xxreal_0(C))  =>  (! [D] :  ( (v7_ordinal1(D) & v2_xxreal_0(D))  =>  (r1_int_1(k3_xcmplx_0(k3_xcmplx_0(A, B), C), k6_xcmplx_0(D, C)) => r1_int_1(k3_xcmplx_0(k3_xcmplx_0(A, B), C), k6_xcmplx_0(k2_xcmplx_0(k1_newton(B, A), k1_newton(C, A)), k1_newton(k2_xcmplx_0(B, D), A)))) ) ) ) ) ) ) ) ) ).
fof(t168_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v7_ordinal1(C) & v1_int_2(C))  =>  ~ ( (C=k2_xcmplx_0(k3_xcmplx_0(2, B), 1) &  ( ~ (r1_int_1(C, A))  &  ( ~ (r1_int_1(C, k6_xcmplx_0(k1_newton(A, B), 1)))  &  ~ (r1_int_1(C, k2_xcmplx_0(k1_newton(A, B), 1))) ) ) ) ) ) ) ) ) ) ) ).
fof(t169_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  ~ ( ( ~ (r1_int_1(B, A))  &  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_int_1(B, k6_xcmplx_0(k1_newton(A, C), 1)) &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  ~ (r1_xxreal_0(B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t170_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_int_1(5, k6_xcmplx_0(k1_newton(A, 3), 1)) <=> r1_int_1(5, k6_xcmplx_0(A, 1))) ) ) ).
fof(t171_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (v1_int_2(k2_xcmplx_0(C, 1)) => r1_int_1(k2_xcmplx_0(C, 1), k6_xcmplx_0(k1_newton(A, k2_xcmplx_0(k3_xcmplx_0(B, C), 1)), A))) ) ) ) ) ) ) ).
fof(t172_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => r1_int_1(2, k6_xcmplx_0(k1_newton(A, k2_xcmplx_0(B, 1)), A))) ) ) ) ).
fof(t173_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => r1_int_1(3, k6_xcmplx_0(k1_newton(A, k2_xcmplx_0(k3_xcmplx_0(2, B), 1)), A))) ) ) ) ).
fof(t174_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => r1_int_1(5, k6_xcmplx_0(k1_newton(A, k2_xcmplx_0(k3_xcmplx_0(4, B), 1)), A))) ) ) ) ).
fof(t175_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => r1_int_1(7, k6_xcmplx_0(k1_newton(A, k2_xcmplx_0(k3_xcmplx_0(6, B), 1)), A))) ) ) ) ).
fof(t176_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (v1_int_2(k2_xcmplx_0(B, 1)) & v1_int_2(k2_xcmplx_0(C, 1)))  =>  (B=C |  (v1_abian(k2_xcmplx_0(B, 1)) |  (v1_abian(k2_xcmplx_0(C, 1)) | r1_int_1(k3_xcmplx_0(k3_xcmplx_0(2, k2_xcmplx_0(B, 1)), k2_xcmplx_0(C, 1)), k6_xcmplx_0(k1_newton(A, k2_xcmplx_0(k3_xcmplx_0(B, C), 1)), A))) ) ) ) ) ) ) ) ) ) ).
fof(t177_newton02, axiom,  (! [A] :  (v7_ordinal1(A) => r1_int_1(154, k6_xcmplx_0(k1_newton(A, 61), A))) ) ).
fof(t178_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => r1_int_1(6, k6_xcmplx_0(k1_newton(A, k2_xcmplx_0(k3_xcmplx_0(2, B), 1)), A))) ) ) ) ).
fof(t179_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => r1_int_1(30, k6_xcmplx_0(k1_newton(A, k2_xcmplx_0(k3_xcmplx_0(4, B), 1)), A))) ) ) ) ).
fof(t180_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => r1_int_1(42, k6_xcmplx_0(k1_newton(A, k2_xcmplx_0(k3_xcmplx_0(6, B), 1)), A))) ) ) ) ).
fof(t181_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v7_ordinal1(C) & v1_int_2(C))  => r1_int_1(C, k6_xcmplx_0(k1_newton(A, k2_xcmplx_0(C, B)), k1_newton(A, k2_xcmplx_0(B, 1))))) ) ) ) ) ) ).
fof(t182_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (v1_int_2(k2_xcmplx_0(k3_xcmplx_0(2, B), 1)) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(k3_xcmplx_0(2, B), C))  &  ( ~ (r1_xxreal_0(C, 1))  &  ~ ( ( ~ (r1_int_1(k2_xcmplx_0(k3_xcmplx_0(2, B), 1), k6_xcmplx_0(k1_newton(A, B), C)))  &  ~ (r1_int_1(k2_xcmplx_0(k3_xcmplx_0(2, B), 1), k2_xcmplx_0(k1_newton(A, B), C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t183_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_int_1(5, k6_xcmplx_0(k1_newton(A, 2), 2)))  &  ( ~ (r1_int_1(5, k2_xcmplx_0(k1_newton(A, 2), 2)))  &  ( ~ (r1_int_1(5, k6_xcmplx_0(k1_newton(A, 2), 3)))  &  ~ (r1_int_1(5, k2_xcmplx_0(k1_newton(A, 2), 3))) ) ) ) ) ) ).
fof(t184_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (k2_xcmplx_0(k1_newton(A, 2), k1_newton(B, 2))=k1_newton(C, 2) &  ( ~ (r1_int_1(5, A))  &  ( ~ (r1_int_1(5, B))  &  ~ (r1_int_1(5, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t185_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_int_1(7, k6_xcmplx_0(k1_newton(A, 3), 2)))  &  ( ~ (r1_int_1(7, k2_xcmplx_0(k1_newton(A, 3), 2)))  &  ( ~ (r1_int_1(7, k6_xcmplx_0(k1_newton(A, 3), 3)))  &  ( ~ (r1_int_1(7, k2_xcmplx_0(k1_newton(A, 3), 3)))  &  ( ~ (r1_int_1(7, k6_xcmplx_0(k1_newton(A, 3), 4)))  &  ( ~ (r1_int_1(7, k2_xcmplx_0(k1_newton(A, 3), 4)))  &  ( ~ (r1_int_1(7, k6_xcmplx_0(k1_newton(A, 3), 5)))  &  ~ (r1_int_1(7, k2_xcmplx_0(k1_newton(A, 3), 5))) ) ) ) ) ) ) ) ) ) ).
fof(t186_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_int_1(2, k6_xcmplx_0(k1_newton(2, A), 1)) <=> A=k5_numbers) ) ) ).
fof(t187_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_int_1(k1_newton(2, k2_xcmplx_0(B, C)), k6_xcmplx_0(k1_newton(2, k2_xcmplx_0(A, B)), k1_newton(2, B))) &  ( ~ (C=k5_numbers)  &  ~ (A=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t188_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (r1_int_1(3, A))  &  ( ~ (r1_int_1(3, k6_xcmplx_0(A, 1)))  &  ~ (r1_int_1(3, k2_xcmplx_0(A, 1))) ) ) ) ) ) ).
fof(t189_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_int_1(3, A))  & r1_int_1(3, k2_xcmplx_0(k1_newton(A, 2), k1_newton(B, 2)))) ) ) ) ) ) ).
fof(t190_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_int_1(3, k2_xcmplx_0(k1_newton(A, 2), 1)))  &  ~ (r1_int_1(3, k6_xcmplx_0(k1_newton(A, 2), 2))) ) ) ) ).
fof(t191_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ (r1_int_1(3, k2_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k1_newton(A, 3), k1_newton(A, 2)), A), 1))) ) ) ).
fof(t192_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v7_ordinal1(C) & v2_xxreal_0(C))  =>  ~ ( (r1_int_2(A, B) &  (r1_int_1(k2_xcmplx_0(C, 1), A) & r1_int_1(k2_xcmplx_0(C, 1), B)) ) ) ) ) ) ) ) ) ).
fof(t193_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_int_2(A, B) & r1_int_1(3, k2_xcmplx_0(k1_newton(A, 2), k1_newton(B, 2)))) ) ) ) ) ) ).
fof(t194_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v7_ordinal1(C) & v1_int_2(C))  =>  (r1_int_1(C, A) => r1_int_1(C, k1_newton(A, k2_xcmplx_0(B, 1)))) ) ) ) ) ) ) ).
fof(t195_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_int_2(B, C) &  (k2_xcmplx_0(k1_newton(B, 2), k1_newton(C, 2))=k1_newton(A, 2) & r1_int_1(3, A)) ) ) ) ) ) ) ) ) ).
fof(t196_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v7_ordinal1(D) & v1_int_2(D))  =>  (r1_int_1(D, k2_xcmplx_0(A, B)) => r1_int_1(D, k2_xcmplx_0(k1_newton(A, k2_xcmplx_0(k3_xcmplx_0(2, C), 1)), k1_newton(B, k2_xcmplx_0(k3_xcmplx_0(2, C), 1))))) ) ) ) ) ) ) ) ) ).
fof(t197_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v7_ordinal1(D) & v1_int_2(D))  =>  (r1_int_1(D, k6_xcmplx_0(k1_newton(A, 2), k1_newton(B, 2))) =>  (r1_int_1(D, k2_xcmplx_0(k1_newton(A, k2_xcmplx_0(k3_xcmplx_0(2, C), 1)), k1_newton(B, k2_xcmplx_0(k3_xcmplx_0(2, C), 1)))) | r1_int_1(D, k6_xcmplx_0(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(t198_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_int_1(3, k3_xcmplx_0(A, B)))  &  ( ~ (r1_int_1(3, k2_xcmplx_0(A, B)))  &  ~ (r1_int_1(3, k6_xcmplx_0(A, B))) ) ) ) ) ) ) ) ).
fof(t199_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_int_1(3, A))  &  ( ~ (r1_int_1(3, B))  &  ( ~ (r1_int_1(3, k2_xcmplx_0(k1_newton(A, k2_xcmplx_0(k3_xcmplx_0(2, C), 1)), k1_newton(B, k2_xcmplx_0(k3_xcmplx_0(2, C), 1)))))  &  ~ (r1_int_1(3, k6_xcmplx_0(k1_newton(A, k2_xcmplx_0(k3_xcmplx_0(2, C), 1)), k1_newton(B, k2_xcmplx_0(k3_xcmplx_0(2, C), 1))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t200_newton02, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (k2_xcmplx_0(k1_newton(A, 3), k1_newton(B, 3))=k1_newton(C, 3) &  ( ~ (r1_int_1(7, A))  &  ( ~ (r1_int_1(7, B))  &  ~ (r1_int_1(7, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_newton02, axiom,  (! [A] :  (v7_ordinal1(A) => m2_finseq_1(k1_newton02(A), k1_numbers)) ) ).
fof(fc1_newton03, axiom,  (! [A, B] :  ( ( (v1_xreal_0(A) & v2_xxreal_0(A))  &  (v1_xreal_0(B) & v2_xxreal_0(B)) )  =>  (v1_xxreal_0(k4_xxreal_0(A, B)) & v2_xxreal_0(k4_xxreal_0(A, B))) ) ) ).
fof(fc2_newton03, axiom,  (! [A, B] :  ( ( (v1_xreal_0(A) & v2_xxreal_0(A))  &  (v1_xreal_0(B) & v2_xxreal_0(B)) )  =>  (v1_xxreal_0(k3_xxreal_0(A, B)) & v2_xxreal_0(k3_xxreal_0(A, B))) ) ) ).
fof(fc3_newton03, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  & v1_int_1(A))  & v1_int_1(B))  =>  (v7_ordinal1(k3_int_2(A, B)) &  ~ (v8_ordinal1(k3_int_2(A, B))) ) ) ) ).
fof(fc4_newton03, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  & v1_xcmplx_0(A))  & v7_ordinal1(B))  =>  ~ (v8_ordinal1(k1_newton(A, B))) ) ) ).
fof(fc5_newton03, axiom,  (! [A, B] :  ( ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v1_zfmisc_1(k1_newton(A, B))) ) ) ).
fof(fc6_newton03, axiom,  (! [A] :  (v1_int_1(A) =>  (v7_ordinal1(k9_complex1(A)) & v1_xreal_0(k9_complex1(A))) ) ) ).
fof(fc7_newton03, axiom,  (! [A] :  ( (v1_int_1(A) & v1_abian(A))  =>  (v1_xreal_0(k9_complex1(A)) & v1_abian(k9_complex1(A))) ) ) ).
fof(rd1_newton03, axiom,  (! [A] :  (v7_ordinal1(A) => k3_newton03(A, A)=A) ) ).
fof(rd2_newton03, axiom,  (! [A] :  (v7_ordinal1(A) => k2_newton03(A, A)=A) ) ).
fof(fc8_newton03, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  & v1_int_1(A))  & v1_int_1(B))  =>  (v7_ordinal1(k3_int_2(A, B)) & v2_xxreal_0(k3_int_2(A, B))) ) ) ).
fof(rd3_newton03, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => k2_newton03(A, k2_newton03(A, B))=k2_newton03(A, B)) ) ).
fof(rd4_newton03, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => k3_newton03(A, k3_newton03(A, B))=k3_newton03(A, B)) ) ).
fof(rd5_newton03, axiom,  (! [A] :  (v1_int_1(A) => k2_newton03(A, 1)=1) ) ).
fof(rd6_newton03, axiom,  (! [A] :  (v1_int_1(A) => k2_newton03(k2_xcmplx_0(A, 1), A)=1) ) ).
fof(rd7_newton03, axiom,  (! [A, B] :  ( (v1_int_1(A) & v7_ordinal1(B))  => k2_newton03(k1_newton(k2_xcmplx_0(A, 1), B), k1_newton(A, B))=1) ) ).
fof(rd8_newton03, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k6_xcmplx_0(k1_newton(A, k5_ordinal1), k1_newton(B, k5_ordinal1))=k5_ordinal1) ) ).
fof(fc9_newton03, axiom,  (! [A, B] :  ( ( (v1_xreal_0(A) &  ~ (v3_xxreal_0(A)) )  & v7_ordinal1(B))  =>  ~ (v3_xxreal_0(k1_newton(A, B))) ) ) ).
fof(rc1_newton03, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  ( ~ (v1_abian(A))  &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v2_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  & v1_rat_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_newton03, axiom,  (? [A] :  ( ~ (v1_zfmisc_1(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_abian(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  & v1_rat_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc10_newton03, axiom,  (! [A, B] :  ( ( (v1_xreal_0(A) & v2_xxreal_0(A))  & v7_ordinal1(B))  => v2_xxreal_0(k1_newton(A, B))) ) ).
fof(fc11_newton03, axiom,  (! [A] :  (v1_int_1(A) => v1_pythtrip(k3_xcmplx_0(A, A))) ) ).
fof(fc12_newton03, axiom,  (! [A] :  (v1_int_1(A) => v1_pythtrip(k7_xcmplx_0(A, A))) ) ).
fof(rc3_newton03, axiom,  (? [A] :  (m1_subset_1(A, k4_ordinal1) &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_rat_1(A) &  ~ (v1_pythtrip(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_newton03, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (v1_int_2(A) =>  ~ (v1_pythtrip(A)) ) ) ) ).
fof(rc4_newton03, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_abian(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v2_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_int_2(A) & v1_rat_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc5_newton03, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  ( ~ (v1_abian(A))  &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v2_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_int_2(A) & v1_rat_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc2_newton03, axiom,  (! [A] :  ( (v1_int_1(A) & v1_int_2(A))  =>  (v1_int_1(A) &  ~ (v1_pythtrip(A)) ) ) ) ).
fof(fc13_newton03, axiom,  (! [A] :  ( (v1_pythtrip(A) & m1_subset_1(A, k4_ordinal1))  =>  (v7_ordinal1(k3_square_1(A)) & v1_xreal_0(k3_square_1(A))) ) ) ).
fof(fc14_newton03, axiom,  (! [A] :  (v1_int_1(A) => v1_pythtrip(k1_newton(A, 2))) ) ).
fof(fc15_newton03, axiom,  (! [A] :  (v1_int_1(A) => v1_pythtrip(k3_xcmplx_0(A, A))) ) ).
fof(rc6_newton03, axiom,  (? [A] :  (v1_xreal_0(A) &  (v1_int_1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v1_rat_1(A) &  ~ (v1_pythtrip(A)) ) ) ) ) ) ) ).
fof(cc3_newton03, axiom,  (! [A] :  ( (v7_ordinal1(A) & v8_ordinal1(A))  =>  (v1_zfmisc_1(A) & v7_ordinal1(A)) ) ) ).
fof(rc7_newton03, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_rat_1(A) & v1_pythtrip(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc8_newton03, axiom,  (? [A] :  (m1_subset_1(A, k4_ordinal1) &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  & v1_rat_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc9_newton03, axiom,  (? [A] :  (m1_subset_1(A, k4_ordinal1) &  ( ~ (v1_zfmisc_1(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_rat_1(A) & v1_pythtrip(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc4_newton03, axiom,  (! [A] :  ( (v1_zfmisc_1(A) & v7_ordinal1(A))  =>  (v7_ordinal1(A) & v1_pythtrip(A)) ) ) ).
fof(cc5_newton03, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v1_pythtrip(A)) )  =>  ( ~ (v8_ordinal1(A))  & v1_int_1(A)) ) ) ).
fof(rd9_newton03, axiom,  (! [A] :  (v1_int_1(A) => k3_newton03(A, k5_ordinal1)=k5_ordinal1) ) ).
fof(rd10_newton03, axiom,  (! [A] :  (v7_ordinal1(A) => k3_newton03(A, 1)=A) ) ).
fof(rd11_newton03, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => k3_newton03(k3_xcmplx_0(A, B), A)=k3_xcmplx_0(A, B)) ) ).
fof(rd12_newton03, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => k3_newton03(k2_newton03(A, B), B)=B) ) ).
fof(rd13_newton03, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => k2_newton03(A, k3_newton03(A, B))=A) ) ).
fof(fc16_newton03, axiom,  (! [A, B] :  ( ( (v1_pythtrip(A) & m1_subset_1(A, k4_ordinal1))  &  (v1_pythtrip(B) & m1_subset_1(B, k4_ordinal1)) )  =>  (v7_ordinal1(k3_int_2(A, B)) & v1_pythtrip(k3_int_2(A, B))) ) ) ).
fof(fc17_newton03, axiom,  (! [A, B] :  ( ( (v1_pythtrip(A) & m1_subset_1(A, k4_ordinal1))  &  (v1_pythtrip(B) & m1_subset_1(B, k4_ordinal1)) )  =>  (v7_ordinal1(k2_int_2(A, B)) & v1_pythtrip(k2_int_2(A, B))) ) ) ).
fof(fc18_newton03, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_pythtrip(A))  &  (v1_int_1(B) & v1_pythtrip(B)) )  =>  (v7_ordinal1(k3_int_2(A, B)) & v1_pythtrip(k3_int_2(A, B))) ) ) ).
fof(fc19_newton03, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_pythtrip(A))  &  (v1_int_1(B) & v1_pythtrip(B)) )  =>  (v7_ordinal1(k2_int_2(A, B)) & v1_pythtrip(k2_int_2(A, B))) ) ) ).
fof(fc20_newton03, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v1_abian(A)) )  =>  (v1_xreal_0(k9_complex1(A)) &  ~ (v1_abian(k9_complex1(A))) ) ) ) ).
fof(fc21_newton03, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v1_abian(A)) )  =>  ( ~ (v1_abian(k4_xcmplx_0(A)))  & v1_xcmplx_0(k4_xcmplx_0(A))) ) ) ).
fof(fc22_newton03, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_abian(A))  &  (v1_int_1(B) & v1_abian(B)) )  =>  (v7_ordinal1(k3_int_2(A, B)) & v1_abian(k3_int_2(A, B))) ) ) ).
fof(fc23_newton03, axiom,  (! [A, B] :  ( (v1_int_1(A) &  (v1_int_1(B) &  ~ (v1_abian(B)) ) )  =>  (v7_ordinal1(k3_int_2(A, B)) &  ~ (v1_abian(k3_int_2(A, B))) ) ) ) ).
fof(rd14_newton03, axiom,  (! [A] :  (v7_ordinal1(A) => k1_int_2(k4_xcmplx_0(A))=A) ) ).
fof(fc24_newton03, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_abian(A))  &  (v1_int_1(B) & v1_abian(B)) )  => v1_abian(k2_xcmplx_0(A, B))) ) ).
fof(fc25_newton03, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_abian(A))  &  (v1_int_1(B) & v1_abian(B)) )  => v1_abian(k6_xcmplx_0(A, B))) ) ).
fof(fc26_newton03, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_abian(A))  &  (v1_int_1(B) & v1_abian(B)) )  => v1_abian(k3_xcmplx_0(A, B))) ) ).
fof(fc27_newton03, axiom,  (! [A, B] :  ( ( (v1_int_1(A) &  ~ (v1_abian(A)) )  &  (v1_int_1(B) &  ~ (v1_abian(B)) ) )  => v1_abian(k2_xcmplx_0(A, B))) ) ).
fof(fc28_newton03, axiom,  (! [A, B] :  ( ( (v1_int_1(A) &  ~ (v1_abian(A)) )  &  (v1_int_1(B) &  ~ (v1_abian(B)) ) )  => v1_abian(k6_xcmplx_0(A, B))) ) ).
fof(fc29_newton03, axiom,  (! [A, B] :  ( ( (v1_int_1(A) &  ~ (v1_abian(A)) )  &  (v1_int_1(B) &  ~ (v1_abian(B)) ) )  =>  ~ (v1_abian(k3_xcmplx_0(A, B))) ) ) ).
fof(fc30_newton03, axiom,  (! [A, B] :  ( ( (v1_int_1(A) &  ~ (v1_abian(A)) )  &  (v1_int_1(B) & v1_abian(B)) )  =>  ~ (v1_abian(k2_xcmplx_0(A, B))) ) ) ).
fof(fc31_newton03, axiom,  (! [A, B] :  ( ( (v1_int_1(A) &  ~ (v1_abian(A)) )  &  (v1_int_1(B) & v1_abian(B)) )  =>  ~ (v1_abian(k6_xcmplx_0(A, B))) ) ) ).
fof(fc32_newton03, axiom,  (! [A, B] :  ( ( (v1_int_1(A) &  ~ (v1_abian(A)) )  &  (v1_int_1(B) & v1_abian(B)) )  => v1_abian(k3_xcmplx_0(A, B))) ) ).
fof(fc33_newton03, axiom,  (! [A, B] :  ( ( (v1_pythtrip(A) & m1_subset_1(A, k4_ordinal1))  & v7_ordinal1(B))  => v1_pythtrip(k1_newton(A, B))) ) ).
fof(fc34_newton03, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_pythtrip(A))  & v7_ordinal1(B))  => v1_pythtrip(k1_newton(A, B))) ) ).
fof(fc35_newton03, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  &  (v1_int_1(A) & v1_pythtrip(A)) )  &  (v1_int_1(B) &  ~ (v1_pythtrip(B)) ) )  =>  ~ (v1_pythtrip(k3_xcmplx_0(A, B))) ) ) ).
fof(fc36_newton03, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) &  (v7_ordinal1(B) & v1_abian(B)) )  => v1_pythtrip(k1_newton(A, B))) ) ).
fof(fc37_newton03, axiom,  (! [A, B] :  ( ( ( ~ (v1_pythtrip(A))  & m1_subset_1(A, k4_ordinal1))  &  (v7_ordinal1(B) &  ~ (v1_abian(B)) ) )  =>  ~ (v1_pythtrip(k1_newton(A, B))) ) ) ).
fof(fc38_newton03, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  &  (v1_int_1(A) & v1_pythtrip(A)) )  =>  ~ (v1_pythtrip(k2_xcmplx_0(A, 1))) ) ) ).
fof(fc39_newton03, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  &  (v1_pythtrip(A) & m1_subset_1(A, k4_ordinal1)) )  =>  ~ (v1_pythtrip(k2_xcmplx_0(A, 1))) ) ) ).
fof(fc40_newton03, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  & v1_pythtrip(A))  &  ( ~ (v1_pythtrip(B))  & m1_subset_1(B, k4_ordinal1)) )  =>  ~ (v1_pythtrip(k3_xcmplx_0(A, B))) ) ) ).
fof(fc41_newton03, axiom,  (! [A, B, C] :  ( ( ( ~ (v8_ordinal1(A))  &  (v1_int_1(A) & v1_pythtrip(A)) )  &  (v7_ordinal1(B) & v7_ordinal1(C)) )  =>  ~ (v1_pythtrip(k2_xcmplx_0(k1_newton(A, B), k1_newton(A, C)))) ) ) ).
fof(fc42_newton03, axiom,  (! [A, B, C] :  ( ( ( ~ (v8_ordinal1(A))  &  (v1_pythtrip(A) & m1_subset_1(A, k4_ordinal1)) )  &  (v7_ordinal1(B) & v7_ordinal1(C)) )  =>  ~ (v1_pythtrip(k2_xcmplx_0(k1_newton(A, B), k1_newton(A, C)))) ) ) ).
fof(fc43_newton03, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  &  (v1_int_1(A) & v1_pythtrip(A)) )  &  (v7_ordinal1(B) & v1_int_2(B)) )  =>  ~ (v1_pythtrip(k3_xcmplx_0(B, A))) ) ) ).
fof(fc44_newton03, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & m1_subset_1(A, k4_ordinal1))  =>  ~ (v8_ordinal1(k6_xcmplx_0(A, 1))) ) ) ).
fof(fc45_newton03, axiom,  (! [A] :  ( (v1_int_1(A) & v1_pythtrip(A))  =>  (v1_xreal_0(k9_complex1(A)) & v1_pythtrip(k9_complex1(A))) ) ) ).
fof(fc46_newton03, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_int_1(A))  =>  ( ~ (v8_ordinal1(k9_complex1(A)))  & v1_xreal_0(k9_complex1(A))) ) ) ).
fof(fc47_newton03, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v1_pythtrip(A) & m1_subset_1(A, k4_ordinal1)) )  =>  ~ (v1_pythtrip(k6_xcmplx_0(A, 1))) ) ) ).
fof(fc48_newton03, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & m1_subset_1(A, k4_ordinal1))  =>  ~ (v1_pythtrip(k3_xcmplx_0(A, k6_xcmplx_0(A, 1)))) ) ) ).
fof(fc49_newton03, axiom,  (! [A, B, C, D] :  ( (v1_int_1(A) &  (v1_int_1(B) &  (v7_ordinal1(C) & v7_ordinal1(D)) ) )  => v1_abian(k2_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(k1_newton(A, C), k1_newton(B, C)), k6_xcmplx_0(k1_newton(A, D), k1_newton(B, D))), k3_xcmplx_0(k2_xcmplx_0(k1_newton(A, D), k1_newton(B, D)), k6_xcmplx_0(k1_newton(A, C), k1_newton(B, C)))))) ) ).
fof(fc50_newton03, axiom,  (! [A, B, C, D] :  ( (v1_int_1(A) &  (v1_int_1(B) &  (v7_ordinal1(C) & v7_ordinal1(D)) ) )  => v1_abian(k2_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(k1_newton(A, C), k1_newton(B, C)), k2_xcmplx_0(k1_newton(A, D), k1_newton(B, D))), k3_xcmplx_0(k6_xcmplx_0(k1_newton(A, D), k1_newton(B, D)), k6_xcmplx_0(k1_newton(A, C), k1_newton(B, C)))))) ) ).
fof(fc51_newton03, axiom,  (! [A] :  ( (v1_int_1(A) & v1_abian(A))  => v1_int_1(k7_xcmplx_0(A, 2))) ) ).
fof(fc52_newton03, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v1_zfmisc_1(k2_xcmplx_0(A, B))) ) ) ).
fof(rd15_newton03, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  ( ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B))  &  ( ~ (v1_zfmisc_1(C))  & v7_ordinal1(C)) ) )  => k11_nat_3(k1_newton(C, k11_nat_3(A, B)), C)=k11_nat_3(A, B)) ) ).
fof(fc53_newton03, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  & v1_int_1(A))  &  ( ~ (v8_ordinal1(B))  & v1_int_1(B)) )  => v1_int_1(k7_xcmplx_0(A, k2_newton03(A, B)))) ) ).
fof(fc54_newton03, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  & v1_int_1(A))  &  ( ~ (v8_ordinal1(B))  & v1_int_1(B)) )  => v1_int_1(k7_xcmplx_0(k3_newton03(A, B), B))) ) ).
fof(fc55_newton03, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  & v1_int_1(A))  &  ( ~ (v8_ordinal1(B))  & v1_int_1(B)) )  => v1_int_1(k7_xcmplx_0(k3_newton03(A, B), k2_newton03(A, B)))) ) ).
fof(rd16_newton03, axiom,  (! [A] :  ( (v1_int_1(A) & v1_abian(A))  => k2_newton03(A, 2)=2) ) ).
fof(rc10_newton03, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_abian(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  & v1_rat_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc56_newton03, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_abian(A))  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => v1_abian(k3_xcmplx_0(A, B))) ) ).
fof(fc57_newton03, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_abian(A))  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => v1_abian(k1_newton(A, B))) ) ).
fof(fc58_newton03, axiom,  (! [A, B] :  ( (v1_int_1(A) &  (v7_ordinal1(B) & v8_ordinal1(B)) )  => v1_abian(k3_xcmplx_0(A, B))) ) ).
fof(fc59_newton03, axiom,  (! [A, B] :  ( (v1_int_1(A) &  (v7_ordinal1(B) & v8_ordinal1(B)) )  =>  ~ (v1_abian(k1_newton(A, B))) ) ) ).
fof(rd17_newton03, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => k1_int_2(A)=A) ) ).
fof(cc6_newton03, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v3_xxreal_0(A)) )  =>  (v7_ordinal1(A) & v1_int_1(A)) ) ) ).
fof(rd18_newton03, axiom,  (! [A, B] :  ( ( (v1_xreal_0(A) &  ~ (v3_xxreal_0(A)) )  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => k1_power(B, k1_newton(A, B))=A) ) ).
fof(rd19_newton03, axiom,  (! [A, B] :  ( ( (v1_xreal_0(A) &  ~ (v3_xxreal_0(A)) )  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => k1_newton(k1_power(B, A), B)=A) ) ).
fof(fc60_newton03, axiom,  (! [A, B] :  ( (v1_xreal_0(A) &  (v7_ordinal1(B) & v1_abian(B)) )  =>  ~ (v3_xxreal_0(k1_newton(A, B))) ) ) ).
fof(fc61_newton03, axiom,  (! [A, B] :  ( ( (v1_xreal_0(A) & v3_xxreal_0(A))  &  (v7_ordinal1(B) &  ~ (v1_abian(B)) ) )  => v3_xxreal_0(k1_newton(A, B))) ) ).
fof(fc62_newton03, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  & v1_int_1(A))  &  ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B)) )  => v1_int_1(k7_xcmplx_0(A, k1_newton(B, k4_newton03(B, A))))) ) ).
fof(fc63_newton03, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_int_1(A))  => v1_int_1(k7_xcmplx_0(A, k1_newton(2, k4_newton03(2, A))))) ) ).
fof(fc64_newton03, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_int_1(A))  =>  ~ (v1_abian(k7_xcmplx_0(A, k1_newton(2, k4_newton03(2, A))))) ) ) ).
fof(fc65_newton03, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v1_abian(A)) )  =>  (v7_ordinal1(k4_newton03(2, A)) & v8_ordinal1(k4_newton03(2, A))) ) ) ).
fof(rd20_newton03, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v1_abian(A)) )  => k7_xcmplx_0(A, k1_newton(2, k4_newton03(2, A)))=A) ) ).
fof(t1_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) => k2_xcmplx_0(k1_newton(C, k2_xcmplx_0(B, A)), k1_newton(D, k2_xcmplx_0(B, A)))=k2_xcmplx_0(k3_xcmplx_0(k1_newton(C, B), k2_xcmplx_0(k1_newton(C, A), k1_newton(D, A))), k3_xcmplx_0(k1_newton(D, A), k6_xcmplx_0(k1_newton(D, B), k1_newton(C, B))))) ) ) ) ) ) ) ) ).
fof(t2_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) => k6_xcmplx_0(k1_newton(C, k2_xcmplx_0(B, A)), k1_newton(D, k2_xcmplx_0(B, A)))=k2_xcmplx_0(k3_xcmplx_0(k1_newton(C, B), k6_xcmplx_0(k1_newton(C, A), k1_newton(D, A))), k3_xcmplx_0(k1_newton(D, A), k6_xcmplx_0(k1_newton(C, B), k1_newton(D, B))))) ) ) ) ) ) ) ) ).
fof(t3_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k2_xcmplx_0(k1_newton(B, k1_nat_1(A, 2)), k1_newton(C, k1_nat_1(A, 2)))=k6_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(B, C), k2_xcmplx_0(k1_newton(B, k1_nat_1(A, 1)), k1_newton(C, k1_nat_1(A, 1)))), k3_xcmplx_0(k3_xcmplx_0(B, C), k2_xcmplx_0(k1_newton(B, A), k1_newton(C, A))))) ) ) ) ) ) ).
fof(d1_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_zfmisc_1(A) <=> r1_xxreal_0(A, 1)) ) ) ).
fof(d2_newton03, axiom,  (! [A] :  (v1_xcmplx_0(A) => k1_newton03(A)=k1_newton(A, 2)) ) ).
fof(d3_newton03, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) => k2_newton03(A, B)=k6_nat_d(k1_int_2(A), k1_int_2(B))) ) ) ) ).
fof(d4_newton03, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) => k3_newton03(A, B)=k5_nat_d(k1_int_2(A), k1_int_2(B))) ) ) ) ).
fof(t4_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) => k2_newton03(k1_newton(B, A), k1_newton(C, A))=k1_newton(k2_newton03(B, C), A)) ) ) ) ) ) ).
fof(t5_newton03, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  ( (r1_int_1(A, B) & r1_int_1(C, D))  => r1_int_1(k3_xcmplx_0(A, C), k3_xcmplx_0(B, D))) ) ) ) ) ) ) ) ) ).
fof(t6_newton03, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (r1_int_1(A, B) <=> k3_newton03(A, B)=k1_int_2(B)) ) ) ) ) ).
fof(t7_newton03, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) => k1_int_2(k3_xcmplx_0(A, B))=k3_xcmplx_0(k2_newton03(A, B), k3_newton03(A, B))) ) ) ) ).
fof(t8_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) => k3_newton03(k1_newton(B, A), k1_newton(C, A))=k1_newton(k3_newton03(B, C), A)) ) ) ) ) ) ).
fof(t9_newton03, axiom,  (! [A] :  (v1_int_1(A) =>  ( ~ (v1_abian(A))  <=> k2_newton03(A, 2)=1) ) ) ).
fof(d5_newton03, axiom,  (! [A] :  (v1_int_1(A) =>  (v1_abian(A) <=>  ~ (k2_newton03(A, 2)=1) ) ) ) ).
fof(t10_newton03, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  &  (v1_int_1(A) & v1_pythtrip(A)) )  =>  (! [B] :  (v1_int_1(B) =>  (v1_pythtrip(k3_xcmplx_0(A, B)) => v1_pythtrip(B)) ) ) ) ) ).
fof(t11_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_nat_d(A, B))  & r1_nat_d(k3_xcmplx_0(A, C), B)) ) ) ) ) ) ) ) ).
fof(t12_newton03, axiom,  (! [A] :  ( (v1_xreal_0(A) &  ~ (v3_xxreal_0(A)) )  =>  (! [B] :  ( (v1_xreal_0(B) &  ~ (v3_xxreal_0(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) & v2_xxreal_0(C))  =>  (k1_newton(A, C)=k1_newton(B, C) <=> A=B) ) ) ) ) ) ) ).
fof(t13_newton03, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v1_abian(C)) )  =>  (k1_newton(A, C)=k1_newton(B, C) <=> A=B) ) ) ) ) ) ) ).
fof(t14_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_int_2(B, C) =>  (! [D] :  ( (v7_ordinal1(D) &  ~ (v8_ordinal1(D)) )  =>  (k3_xcmplx_0(B, C)=k1_newton(A, D) <=>  (r2_hidden(k1_power(D, B), k4_ordinal1) &  (r2_hidden(k1_power(D, C), k4_ordinal1) & A=k3_xcmplx_0(k1_power(D, B), k1_power(D, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_newton03, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (r1_int_1(k1_newton(C, A), k1_newton(B, A)) <=> r1_int_1(C, B)) ) ) ) ) ) ) ).
fof(t16_newton03, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(C, B) => r1_int_1(k1_newton(A, C), k1_newton(A, B))) ) ) ) ) ) ) ).
fof(t17_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  ( (r1_int_1(C, D) & r1_int_1(k1_newton(D, B), A))  => r1_int_1(k1_newton(C, B), A)) ) ) ) ) ) ) ) ) ).
fof(t18_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  (r1_int_1(k1_newton(D, k2_xcmplx_0(k3_xcmplx_0(2, B), A)), k1_newton(C, 2)) => r1_int_1(k1_newton(D, B), C)) ) ) ) ) ) ) ) ) ).
fof(t19_newton03, axiom,  (! [A] :  ( ( ~ (v1_abian(A))  &  (v1_pythtrip(A) & m1_subset_1(A, k4_ordinal1)) )  =>  (! [B] :  ( ( ~ (v1_abian(B))  &  (v1_pythtrip(B) & m1_subset_1(B, k4_ordinal1)) )  => r1_int_1(8, k6_xcmplx_0(A, B))) ) ) ) ).
fof(t20_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v1_abian(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v1_abian(C)) )  =>  ~ ( (r1_int_1(4, k6_xcmplx_0(B, C)) & r1_nat_d(4, k2_xcmplx_0(k1_newton(B, A), k1_newton(C, A)))) ) ) ) ) ) ) ) ).
fof(t21_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v1_abian(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v1_abian(C)) )  =>  ~ ( (r1_nat_d(4, k2_xcmplx_0(k1_newton(B, A), k1_newton(C, A))) & r1_nat_d(4, k2_xcmplx_0(k1_newton(B, k3_xcmplx_0(2, A)), k1_newton(C, k3_xcmplx_0(2, A))))) ) ) ) ) ) ) ) ).
fof(t22_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v1_abian(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v1_abian(C)) )  =>  ~ ( (r1_int_1(4, k6_xcmplx_0(k1_newton(B, A), k1_newton(C, A))) & r1_nat_d(4, k2_xcmplx_0(k1_newton(B, k3_xcmplx_0(2, A)), k1_newton(C, k3_xcmplx_0(2, A))))) ) ) ) ) ) ) ) ).
fof(t23_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v1_abian(C)) )  =>  (! [D] :  ( (v7_ordinal1(D) &  ~ (v1_abian(D)) )  =>  (r1_int_1(k1_newton(2, A), k6_xcmplx_0(k1_newton(C, B), k1_newton(D, B))) => r1_int_1(k11_newton(2, k1_nat_1(A, 1)), k6_xcmplx_0(k1_newton(C, k3_xcmplx_0(2, B)), k1_newton(D, k3_xcmplx_0(2, B))))) ) ) ) ) ) ) ) ) ).
fof(t24_newton03, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k6_xcmplx_0(k1_newton(A, 3), k1_newton(B, 3))=k3_xcmplx_0(k6_xcmplx_0(A, B), k2_xcmplx_0(k2_xcmplx_0(k1_newton(A, 2), k1_newton(B, 2)), k3_xcmplx_0(A, B)))) ) ) ) ).
fof(t25_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v1_abian(C)) )  =>  (r1_nat_d(3, k2_xcmplx_0(k1_newton(A, C), k1_newton(B, C))) <=> r1_nat_d(3, k2_xcmplx_0(A, B))) ) ) ) ) ) ) ).
fof(t26_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v1_int_1(D) =>  (r1_int_1(D, k6_xcmplx_0(A, B)) => r1_int_1(D, k6_xcmplx_0(k1_newton(A, C), k1_newton(B, C)))) ) ) ) ) ) ) ) ) ).
fof(t27_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v1_abian(C)) )  =>  (r1_int_1(3, k6_xcmplx_0(k1_newton(A, C), k1_newton(B, C))) <=> r1_int_1(3, k6_xcmplx_0(A, B))) ) ) ) ) ) ) ).
fof(t28_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => r2_int_1(k1_newton(A, C), k1_newton(k6_xcmplx_0(A, B), C), B)) ) ) ) ) ) ).
fof(t29_newton03, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  (? [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  & r1_nat_d(B, A)) ) ) ) ).
fof(t30_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (r1_int_1(B, k3_xcmplx_0(k1_nat_1(B, k1_nat_1(A, 1)), k6_xcmplx_0(B, k1_nat_1(A, 1)))) => r1_xxreal_0(B, k1_nat_1(A, 1))) ) ) ) ) ).
fof(t31_newton03, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  ~ ( ( ~ (r1_xxreal_0(A, B))  & r1_int_1(A, k6_xcmplx_0(k1_newton(A, 2), k1_newton(B, 2)))) ) ) ) ) ) ).
fof(t32_newton03, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( (v7_ordinal1(C) &  ( ~ (v1_abian(C))  & v1_int_2(C)) )  =>  ~ ( ( ~ (r1_int_1(C, B))  &  (r1_int_1(C, k6_xcmplx_0(A, B)) & r1_int_1(C, k2_xcmplx_0(A, B))) ) ) ) ) ) ) ) ) ).
fof(t33_newton03, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  &  (v1_pythtrip(A) & m1_subset_1(A, k4_ordinal1)) )  =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  ~ ( (r1_nat_d(B, A) & v1_pythtrip(k2_xcmplx_0(A, B))) ) ) ) ) ) ).
fof(t34_newton03, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  &  (v1_pythtrip(A) & m1_subset_1(A, k4_ordinal1)) )  =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (v1_pythtrip(k2_xcmplx_0(A, B)) => B=k1_nat_1(k3_xcmplx_0(2, k3_square_1(A)), 1)) ) ) ) ) ).
fof(t35_newton03, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (r1_int_2(A, B) => k2_newton03(C, k3_xcmplx_0(A, B))=k3_xcmplx_0(k2_newton03(C, A), k2_newton03(C, B))) ) ) ) ) ) ) ).
fof(t36_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v7_ordinal1(C) & v1_int_2(C))  =>  ~ ( (r1_nat_d(A, k1_newton(C, B)) &  (! [D] :  (v7_ordinal1(D) =>  ~ (A=k1_newton(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_newton03, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) & v1_int_2(C))  =>  (k2_xcmplx_0(A, B)=C => r1_int_2(A, B)) ) ) ) ) ) ) ).
fof(t38_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (! [D] :  ( (v7_ordinal1(D) & v1_int_2(D))  =>  (k2_xcmplx_0(k1_newton(B, A), k1_newton(C, A))=k1_newton(D, A) => r1_int_2(B, C)) ) ) ) ) ) ) ) ) ).
fof(t39_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (! [D] :  ( (v7_ordinal1(D) &  ~ (v8_ordinal1(D)) )  =>  ~ ( (r1_xxreal_0(k2_xcmplx_0(C, D), A) & r1_xxreal_0(k3_xcmplx_0(k1_newton(A, k1_nat_1(B, 1)), k2_xcmplx_0(C, D)), k2_xcmplx_0(k1_newton(C, k1_nat_1(B, 2)), k1_newton(D, k1_nat_1(B, 2))))) ) ) ) ) ) ) ) ) ) ).
fof(t40_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  ~ ( ( ~ (r1_xxreal_0(B, k3_xcmplx_0(A, C)))  &  ( ~ (r1_xxreal_0(k3_xcmplx_0(A, k1_nat_1(C, 1)), B))  &  ~ ( ( ~ (r1_nat_d(A, B))  &  ~ (r1_nat_d(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_newton03, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k2_xcmplx_0(A, B)=k2_xcmplx_0(k3_xxreal_0(A, B), k4_xxreal_0(A, B))) ) ) ) ).
fof(t42_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_xreal_0(B) &  ~ (v3_xxreal_0(B)) )  =>  (! [C] :  ( (v1_xreal_0(C) &  ~ (v3_xxreal_0(C)) )  =>  (k4_xxreal_0(k1_newton(B, A), k1_newton(C, A))=k1_newton(k4_xxreal_0(B, C), A) & k3_xxreal_0(k1_newton(B, A), k1_newton(C, A))=k1_newton(k3_xxreal_0(B, C), A)) ) ) ) ) ) ) ).
fof(t43_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v7_ordinal1(D) & v1_int_2(D))  =>  ~ ( (k3_xcmplx_0(A, B)=k1_newton(D, C) &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ~ ( (A=k1_newton(D, E) &  (B=k1_newton(D, F) & k2_xcmplx_0(E, F)=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_newton03, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B))  =>  (r1_int_2(A, B) =>  ( ~ (r1_nat_d(A, B))  &  ~ (r1_nat_d(B, A)) ) ) ) ) ) ) ).
fof(t45_newton03, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  ( ~ (r1_xxreal_0(B, A))  =>  ( ~ (r1_nat_d(B, A))  &  ~ (r1_nat_d(A, B)) ) ) ) ) ) ) ).
fof(t46_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (k2_newton03(A, B)=1 | k2_newton03(A, B)=B) ) ) ) ) ).
fof(t47_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B))  =>  (! [C] :  ( (v7_ordinal1(C) & v1_int_2(C))  =>  (r1_nat_d(B, k1_newton(C, A)) => r1_nat_d(C, B)) ) ) ) ) ) ) ).
fof(t48_newton03, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_abian(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v1_abian(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) & v1_abian(C))  => k11_nat_3(k2_xcmplx_0(k1_newton(A, C), k1_newton(B, C)), 2)=1) ) ) ) ) ) ).
fof(t49_newton03, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (? [B] :  ( (v7_ordinal1(B) &  ~ (v1_abian(B)) )  & A=k3_xcmplx_0(k11_newton(2, k11_nat_3(A, 2)), B)) ) ) ) ).
fof(t50_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  (! [C] :  ( (v7_ordinal1(C) & v1_int_2(C))  => r1_xxreal_0(k11_nat_3(A, C), k11_nat_3(B, C))) ) ) ) ) ) ) ) ).
fof(t51_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (A=1)  &  ( ~ (B=k5_ordinal1)  &  ( ~ (C=k5_ordinal1)  &  ( ~ (r1_xxreal_0(B, k11_nat_3(C, A)))  & r1_nat_d(k1_newton(A, B), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_newton03, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_int_1(A))  =>  (! [B] :  (v1_int_1(B) =>  ( ~ (k1_int_2(B)=1)  =>  (r1_int_1(k1_newton(B, k11_nat_3(k1_int_2(A), k1_int_2(B))), A) &  ~ (r1_int_1(k1_newton(B, k1_nat_1(k11_nat_3(k1_int_2(A), k1_int_2(B)), 1)), A)) ) ) ) ) ) ) ).
fof(t53_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & v1_int_1(B))  =>  (! [C] :  (v1_int_1(C) =>  (r1_int_1(k1_newton(C, A), B) =>  (k1_int_2(C)=1 |  (r1_int_1(k1_newton(C, k1_nat_1(A, 1)), B) | A=k11_nat_3(k1_int_2(B), k1_int_2(C))) ) ) ) ) ) ) ) ) ).
fof(t54_newton03, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B))  =>  (r1_nat_d(B, A) <=> k11_nat_3(k2_newton03(B, A), B)=1) ) ) ) ) ).
fof(t55_newton03, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( ( ~ (v1_zfmisc_1(C))  & v7_ordinal1(C))  =>  (k11_nat_3(k2_newton03(C, A), C)=1 <=> k11_nat_3(k1_newton(k2_newton03(C, A), B), k1_newton(C, B))=1) ) ) ) ) ) ) ).
fof(t56_newton03, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B))  =>  (k11_nat_3(k2_newton03(B, A), B)=k5_ordinal1 <=>  ~ (k11_nat_3(k2_newton03(B, A), B)=1) ) ) ) ) ) ).
fof(d6_newton03, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) => k4_newton03(A, B)=k11_nat_3(k1_int_2(B), k1_int_2(A))) ) ) ) ).
fof(d7_newton03, axiom,  (! [A] :  (v1_int_1(A) =>  ( ~ (k1_int_2(A)=1)  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & v1_int_1(B))  =>  (! [C] :  (v7_ordinal1(C) =>  (C=k4_newton03(A, B) <=>  (r1_int_1(k1_newton(A, C), B) &  ~ (r1_int_1(k1_newton(A, k1_nat_1(C, 1)), B)) ) ) ) ) ) ) ) ) ) ).
fof(t57_newton03, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & v1_int_1(B))  =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & v1_int_1(C))  => k4_newton03(A, k3_xcmplx_0(B, C))=k2_xcmplx_0(k4_newton03(A, B), k4_newton03(A, C))) ) ) ) ) ) ).
fof(t58_newton03, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  => r1_xxreal_0(k1_newton(A, k4_newton03(A, B)), B)) ) ) ) ).
fof(t59_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B))  =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & v1_int_1(C))  =>  (r1_int_1(k1_newton(B, A), C) <=> r1_xxreal_0(A, k4_newton03(B, C))) ) ) ) ) ) ) ).
fof(t60_newton03, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & v1_int_1(B))  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (r1_xxreal_0(k3_xcmplx_0(C, k4_newton03(A, B)), k4_newton03(A, k1_newton(B, C))) &  ~ (r1_xxreal_0(k3_xcmplx_0(C, k1_nat_1(k4_newton03(A, B), 1)), k4_newton03(A, k1_newton(B, C)))) ) ) ) ) ) ) ) ).
fof(t61_newton03, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  ~ ( ( ~ (r1_xxreal_0(A, B))  & r1_xxreal_0(C, k4_newton03(A, k1_newton(B, C)))) ) ) ) ) ) ) ) ).
fof(t62_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B))  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  ~ ( ( ~ (r1_xxreal_0(k1_newton(B, A), C))  & r1_xxreal_0(A, k4_newton03(B, C))) ) ) ) ) ) ) ) ).
fof(t63_newton03, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( ( ~ (v1_zfmisc_1(C))  & v7_ordinal1(C))  =>  ~ (r1_xxreal_0(C, k4_newton03(k2_xcmplx_0(A, B), k2_xcmplx_0(k1_newton(A, C), k1_newton(B, C))))) ) ) ) ) ) ) ).
fof(t64_newton03, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (k2_newton03(A, B)=1 <=>  (! [C] :  ( ( ~ (v1_zfmisc_1(C))  & v7_ordinal1(C))  => k3_xcmplx_0(k4_newton03(C, A), k4_newton03(C, B))=k5_ordinal1) ) ) ) ) ) ) ).
fof(t65_newton03, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  & v1_abian(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v1_abian(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v1_abian(C)) )  =>  ( ~ (B=C)  => r1_xxreal_0(k1_nat_1(k4_newton03(2, k6_xcmplx_0(k1_newton(B, A), k1_newton(C, A))), 1), k4_newton03(2, k6_xcmplx_0(k1_newton(B, k3_xcmplx_0(2, A)), k1_newton(C, k3_xcmplx_0(2, A)))))) ) ) ) ) ) ) ).
fof(t66_newton03, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  & v1_abian(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v1_abian(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v1_abian(C)) )  =>  ( ~ (B=C)  => k4_newton03(2, k6_xcmplx_0(k1_newton(B, k3_xcmplx_0(2, A)), k1_newton(C, k3_xcmplx_0(2, A))))=k1_nat_1(k4_newton03(2, k6_xcmplx_0(k1_newton(B, A), k1_newton(C, A))), 1)) ) ) ) ) ) ) ).
fof(t67_newton03, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ( ~ (k1_int_2(B)=k1_int_2(C))  => k4_newton03(A, k6_xcmplx_0(k1_newton(B, 2), k1_newton(C, 2)))=k2_xcmplx_0(k4_newton03(A, k6_xcmplx_0(B, C)), k4_newton03(A, k2_xcmplx_0(B, C)))) ) ) ) ) ) ) ).
fof(t68_newton03, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ( ~ (k1_int_2(B)=k1_int_2(C))  => k4_newton03(A, k6_xcmplx_0(k1_newton(B, 3), k1_newton(C, 3)))=k2_xcmplx_0(k4_newton03(A, k6_xcmplx_0(B, C)), k4_newton03(A, k2_xcmplx_0(k2_xcmplx_0(k1_newton(B, 2), k3_xcmplx_0(B, C)), k1_newton(C, 2))))) ) ) ) ) ) ) ).
fof(t69_newton03, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  => k7_xcmplx_0(A, k2_newton03(A, B))=k7_xcmplx_0(k3_newton03(A, B), B)) ) ) ) ).
fof(t70_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  => k3_newton03(A, k2_xcmplx_0(k3_xcmplx_0(A, B), C))=k3_xcmplx_0(k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(A, B), C), 1), k3_newton03(A, C))) ) ) ) ) ) ).
fof(t71_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  => k3_newton03(A, k3_xcmplx_0(k1_nat_1(k3_xcmplx_0(B, A), 1), C))=k3_xcmplx_0(k1_nat_1(k3_xcmplx_0(B, A), 1), k3_newton03(A, C))) ) ) ) ) ) ).
fof(t72_newton03, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  => r1_xxreal_0(k3_xcmplx_0(B, k4_newton03(k1_newton(A, B), C)), k4_newton03(A, C))) ) ) ) ) ) ).
fof(t73_newton03, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v1_abian(A)) )  =>  (! [B] :  ( (v1_int_1(B) &  ~ (v1_abian(B)) )  =>  (r1_int_1(4, k6_xcmplx_0(A, B)) <=>  ~ (r1_int_1(4, k2_xcmplx_0(A, B))) ) ) ) ) ) ).
fof(t74_newton03, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v1_abian(A)) )  =>  (! [B] :  ( (v1_int_1(B) &  ~ (v1_abian(B)) )  => k4_newton03(2, k2_xcmplx_0(k1_newton(A, 2), k1_newton(B, 2)))=1) ) ) ) ).
fof(t75_newton03, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (B=C)  => r1_xxreal_0(k4_newton03(A, k2_newton03(B, C)), k4_newton03(A, k2_xcmplx_0(B, C)))) ) ) ) ) ) ) ).
fof(t76_newton03, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_int_1(A))  =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B))  =>  (! [C] :  (v1_int_1(C) =>  ~ ( (A=k3_xcmplx_0(k1_newton(B, k4_newton03(B, A)), C) & r1_int_1(B, C)) ) ) ) ) ) ) ) ).
fof(t77_newton03, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_int_1(A))  =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B))  =>  (k4_newton03(B, A)=k5_ordinal1 <=>  ~ (r1_int_1(B, A)) ) ) ) ) ) ).
fof(t78_newton03, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & v1_int_1(B))  =>  (! [C] :  (v7_ordinal1(C) => k4_newton03(A, k1_newton(B, C))=k3_xcmplx_0(C, k4_newton03(A, B))) ) ) ) ) ) ).
fof(t79_newton03, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v1_abian(C)) )  => k7_xcmplx_0(k2_xcmplx_0(k1_newton(A, k1_nat_1(C, 2)), k1_newton(B, k1_nat_1(C, 2))), k2_xcmplx_0(A, B))=k6_xcmplx_0(k2_xcmplx_0(k1_newton(A, k1_nat_1(C, 1)), k1_newton(B, k1_nat_1(C, 1))), k3_xcmplx_0(k3_xcmplx_0(A, B), k7_xcmplx_0(k2_xcmplx_0(k1_newton(A, C), k1_newton(B, C)), k2_xcmplx_0(A, B))))) ) ) ) ) ) ).
fof(t80_newton03, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v1_abian(A)) )  =>  (! [B] :  ( (v1_int_1(B) &  ~ (v1_abian(B)) )  =>  (! [C] :  (v7_ordinal1(C) => k4_newton03(2, k6_xcmplx_0(k1_newton(A, k1_nat_1(k3_xcmplx_0(2, C), 1)), k1_newton(B, k1_nat_1(k3_xcmplx_0(2, C), 1))))=k4_newton03(2, k6_xcmplx_0(A, B))) ) ) ) ) ) ).
fof(t81_newton03, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v1_abian(A)) )  =>  (! [B] :  ( (v1_int_1(B) &  ~ (v1_abian(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v1_abian(C)) )  => k4_newton03(2, k2_xcmplx_0(k1_newton(A, C), k1_newton(B, C)))=k4_newton03(2, k2_xcmplx_0(A, B))) ) ) ) ) ) ).
fof(t82_newton03, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_abian(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v1_abian(B)) )  =>  ( ~ (A=B)  => 1=k3_xxreal_0(k4_newton03(2, k6_xcmplx_0(A, B)), k4_newton03(2, k2_xcmplx_0(A, B)))) ) ) ) ) ).
fof(t83_newton03, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & v1_int_1(B))  =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & v1_int_1(C))  =>  ( ~ (r1_xxreal_0(k4_newton03(A, B), k4_newton03(A, C)))  =>  (r1_int_1(k1_newton(A, k4_newton03(A, C)), B) &  ~ (r1_int_1(k1_newton(A, k4_newton03(A, B)), C)) ) ) ) ) ) ) ) ) ).
fof(t84_newton03, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & v1_int_1(B))  =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & v1_int_1(C))  =>  ( (r1_int_1(k1_newton(A, k4_newton03(A, B)), C) & r1_int_1(k1_newton(A, k4_newton03(A, C)), B))  => k4_newton03(A, B)=k4_newton03(A, C)) ) ) ) ) ) ) ).
fof(t85_newton03, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_int_1(k1_newton(A, D), B) &  ( ~ (r1_int_1(k1_newton(A, C), B))  & r1_xxreal_0(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t86_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B))  =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & v1_int_1(C))  =>  (! [D] :  ( ( ~ (v8_ordinal1(D))  & v1_int_1(D))  =>  ( (k4_newton03(B, C)=k4_newton03(B, D) & r1_int_1(k1_newton(B, A), C))  => r1_int_1(k1_newton(B, A), D)) ) ) ) ) ) ) ) ) ).
fof(t87_newton03, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & v1_int_1(B))  =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & v1_int_1(C))  =>  (k4_newton03(A, B)=k4_newton03(A, C) <=>  (! [D] :  (v7_ordinal1(D) =>  (r1_int_1(k1_newton(A, D), B) <=> r1_int_1(k1_newton(A, D), C)) ) ) ) ) ) ) ) ) ) ).
fof(t88_newton03, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v1_abian(A)) )  =>  (! [B] :  ( (v1_int_1(B) &  ~ (v1_abian(B)) )  =>  ( ~ (k1_int_2(A)=k1_int_2(B))  =>  ( ~ (k4_newton03(2, k1_newton(k6_xcmplx_0(A, B), 2))=k4_newton03(2, k1_newton(k2_xcmplx_0(A, B), 2)))  &  ~ (k4_newton03(2, k1_newton(k6_xcmplx_0(A, B), 2))=k6_xcmplx_0(k4_newton03(2, k1_newton(A, 2)), k1_newton(B, 2))) ) ) ) ) ) ) ).
fof(t89_newton03, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & v1_int_1(B))  =>  ( ~ (k4_newton03(A, B)=k5_ordinal1)  <=> r1_int_1(A, B)) ) ) ) ) ).
fof(t90_newton03, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (k4_newton03(A, B)=k5_ordinal1 <=>  ~ (k4_nat_d(B, A)=k5_ordinal1) ) ) ) ) ) ).
fof(t91_newton03, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B))  => r1_xxreal_0(k4_newton03(B, A), 1)) ) ) ) ).
fof(t92_newton03, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B))  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  => r1_xxreal_0(k1_newton(A, k3_xcmplx_0(k4_newton03(A, B), k4_newton03(B, C))), C)) ) ) ) ) ) ).
fof(t93_newton03, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B))  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  => r1_xxreal_0(k4_newton03(B, k1_newton(A, C)), C)) ) ) ) ) ) ).
fof(t94_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  (! [C] :  ( ( ~ (v1_zfmisc_1(C))  & v7_ordinal1(C))  => r1_xxreal_0(k3_xcmplx_0(k4_newton03(B, C), k4_newton03(C, k1_newton(B, A))), A)) ) ) ) ) ) ).
fof(t95_newton03, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B))  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  => r1_xxreal_0(k3_xcmplx_0(k4_newton03(A, B), k4_newton03(B, C)), k4_newton03(A, C))) ) ) ) ) ) ).
fof(t96_newton03, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v1_abian(B)) )  => k4_newton03(2, k3_xcmplx_0(A, B))=k4_newton03(2, A)) ) ) ) ).
fof(t97_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B))  =>  ~ (r1_xxreal_0(k1_newton(B, k1_nat_1(A, 2)), k2_xcmplx_0(k1_newton(B, k1_nat_1(A, 1)), k1_newton(B, A)))) ) ) ) ) ).
fof(t98_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B))  =>  ~ (r1_xxreal_0(k11_newton(k1_nat_1(B, 1), k1_nat_1(A, 1)), k2_xcmplx_0(k1_newton(k1_nat_1(B, 1), A), k1_newton(k1_nat_1(B, 1), A)))) ) ) ) ) ).
fof(t99_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  &  (v7_ordinal1(B) &  ~ (v1_abian(B)) ) )  =>  ~ (r1_xxreal_0(k1_newton(B, k1_nat_1(A, 1)), k2_xcmplx_0(k1_newton(B, A), k1_newton(B, A)))) ) ) ) ) ).
fof(t100_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v1_zfmisc_1(D))  & v7_ordinal1(D))  =>  ~ ( ( ~ (r1_nat_d(A, B))  & k1_newton(k1_newton(D, A), C)=k1_newton(D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t101_newton03, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_int_1(A))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & v1_int_1(B))  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  ~ ( ( ~ ( (! [D] :  ( (v7_ordinal1(D) & v1_int_2(D))  => r1_nat_d(C, k4_newton03(D, A))) ) )  & A=k1_newton(B, C)) ) ) ) ) ) ) ) ).
fof(t102_newton03, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_int_1(A))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & v1_int_1(B))  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (A=k1_newton(B, C) =>  (! [D] :  ( (v7_ordinal1(D) & v1_int_2(D))  => r1_nat_d(C, k4_newton03(D, A))) ) ) ) ) ) ) ) ) ).
fof(t103_newton03, axiom,  (! [A] :  ( (v1_xreal_0(A) & v2_xxreal_0(A))  =>  (! [B] :  ( (v1_xreal_0(B) & v2_xxreal_0(B))  =>  (! [C] :  ( ( ~ (v1_zfmisc_1(C))  & v7_ordinal1(C))  =>  ~ (r1_xxreal_0(k1_newton(k2_xcmplx_0(A, B), C), k2_xcmplx_0(k1_newton(A, C), k1_newton(B, C)))) ) ) ) ) ) ) ).
fof(t104_newton03, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_int_1(A))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & v1_int_1(B))  =>  (! [C] :  ( (v7_ordinal1(C) &  ( ~ (v1_abian(C))  & v1_int_2(C)) )  =>  ~ ( ( ~ (k1_int_2(A)=k1_int_2(B))  &  ( ~ (r1_int_1(C, B))  &  ~ (k4_newton03(C, k6_xcmplx_0(k1_newton(A, 2), k1_newton(B, 2)))=k4_xxreal_0(k4_newton03(C, k6_xcmplx_0(A, B)), k4_newton03(C, k2_xcmplx_0(A, B)))) ) ) ) ) ) ) ) ) ) ).
fof(t105_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B))  =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & v1_int_1(C))  => k4_newton03(B, k3_xcmplx_0(k1_newton(B, A), C))=k2_xcmplx_0(A, k4_newton03(B, C))) ) ) ) ) ) ).
fof(redefinition_k1_newton03, axiom,  (! [A] :  (v1_xcmplx_0(A) => k1_newton03(A)=k1_square_1(A)) ) ).
fof(dt_k2_newton03, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v7_ordinal1(k2_newton03(A, B))) ) ).
fof(commutativity_k2_newton03, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => k2_newton03(A, B)=k2_newton03(B, A)) ) ).
fof(redefinition_k2_newton03, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => k2_newton03(A, B)=k3_int_2(A, B)) ) ).
fof(dt_k3_newton03, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v7_ordinal1(k3_newton03(A, B))) ) ).
fof(commutativity_k3_newton03, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => k3_newton03(A, B)=k3_newton03(B, A)) ) ).
fof(redefinition_k3_newton03, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => k3_newton03(A, B)=k2_int_2(A, B)) ) ).
fof(dt_k4_newton03, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v7_ordinal1(k4_newton03(A, B))) ) ).
fof(fc1_newton04, axiom,  (! [A, B] :  ( ( (v1_xreal_0(A) & v2_xxreal_0(A))  & v7_ordinal1(B))  => v2_xxreal_0(k1_newton(A, B))) ) ).
fof(fc2_newton04, axiom,  (! [A, B] :  ( ( (v1_xreal_0(A) &  ~ (v3_xxreal_0(A)) )  & v7_ordinal1(B))  =>  ~ (v3_xxreal_0(k1_newton(A, B))) ) ) ).
fof(rd1_newton04, axiom,  (! [A] :  ( (v1_xreal_0(A) &  ~ (v3_xxreal_0(A)) )  => k3_square_1(k1_newton(A, 2))=A) ) ).
fof(rc1_newton04, axiom,  (? [A] :  (v1_xcmplx_0(A) & v1_xreal_0(A)) ) ).
fof(rc2_newton04, axiom,  (? [A] :  (v1_xcmplx_0(A) &  ~ (v1_xreal_0(A)) ) ) ).
fof(fc3_newton04, axiom,  (! [A] :  ( (v1_xcmplx_0(A) &  ~ (v1_xreal_0(A)) )  =>  ~ (v8_ordinal1(k2_complex1(A))) ) ) ).
fof(rd2_newton04, axiom,  (! [A] :  (v1_xreal_0(A) => k3_complex1(A)=A) ) ).
fof(cc1_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k1_numbers))  =>  (v1_relat_1(A) & v5_relat_1(A, k2_numbers)) ) ) ).
fof(cc2_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k3_numbers))  =>  (v1_relat_1(A) & v5_relat_1(A, k1_numbers)) ) ) ).
fof(cc3_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k3_numbers))  =>  (v1_relat_1(A) & v5_relat_1(A, k2_numbers)) ) ) ).
fof(cc4_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k4_numbers))  =>  (v1_relat_1(A) & v5_relat_1(A, k3_numbers)) ) ) ).
fof(cc5_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k4_numbers))  =>  (v1_relat_1(A) & v5_relat_1(A, k1_numbers)) ) ) ).
fof(cc6_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k4_numbers))  =>  (v1_relat_1(A) & v5_relat_1(A, k2_numbers)) ) ) ).
fof(cc7_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k4_ordinal1))  =>  (v1_relat_1(A) & v5_relat_1(A, k4_numbers)) ) ) ).
fof(cc8_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k4_ordinal1))  =>  (v1_relat_1(A) & v5_relat_1(A, k3_numbers)) ) ) ).
fof(cc9_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k4_ordinal1))  =>  (v1_relat_1(A) & v5_relat_1(A, k1_numbers)) ) ) ).
fof(cc10_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k4_ordinal1))  =>  (v1_relat_1(A) & v5_relat_1(A, k2_numbers)) ) ) ).
fof(cc11_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k1_numbers)) ) ) ).
fof(cc12_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k2_numbers)) ) ) ).
fof(rd3_newton04, axiom,  (! [A] : k3_xcmplx_0(1, k3_finseq_1(k9_finseq_1(A)))=1) ).
fof(rd4_newton04, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => k1_funct_1(k7_finseq_1(k9_finseq_1(A), B), 1)=A) ) ).
fof(rd5_newton04, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => k1_funct_1(k7_finseq_1(B, k9_finseq_1(A)), k2_xcmplx_0(1, k3_finseq_1(B)))=A) ) ).
fof(rd6_newton04, axiom,  (! [A] :  (v1_xcmplx_0(A) => k16_rvsum_1(k9_finseq_1(A))=A) ) ).
fof(rd7_newton04, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  => k5_relat_1(k7_finseq_1(A, B), k4_finseq_1(A))=A) ) ).
fof(rd8_newton04, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  => k16_finseq_1(k3_finseq_1(A), k7_finseq_1(A, B))=A) ) ).
fof(rd9_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k1_funct_1(A, k5_numbers)=k5_numbers) ) ).
fof(rd10_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k16_finseq_1(k3_finseq_1(A), A)=A) ) ).
fof(fc4_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(k1_rfinseq(k3_finseq_1(A), A)) &  (v1_xboole_0(k1_rfinseq(k3_finseq_1(A), A)) &  (v1_funct_1(k1_rfinseq(k3_finseq_1(A), A)) & v1_finseq_1(k1_rfinseq(k3_finseq_1(A), A))) ) ) ) ) ).
fof(rd11_newton04, axiom,  (! [A] :  (v7_ordinal1(A) => k4_card_1(k2_finseq_1(A))=A) ) ).
fof(rd12_newton04, axiom,  (! [A] :  (v7_ordinal1(A) => k4_card_1(k6_ordinal1(A))=A) ) ).
fof(rd13_newton04, axiom,  (! [A] :  (v7_ordinal1(A) => k3_finseq_1(k4_relat_1(k2_finseq_1(A)))=A) ) ).
fof(rd14_newton04, axiom,  (! [A] :  (v7_ordinal1(A) => k3_finseq_1(k1_finseq_2(A))=A) ) ).
fof(rd15_newton04, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => k1_funct_1(k1_finseq_2(k2_xcmplx_0(A, B)), A)=A) ) ).
fof(rd16_newton04, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => k1_funct_1(k3_finseq_5(k1_finseq_2(k2_xcmplx_0(A, k2_xcmplx_0(B, 1)))), k2_xcmplx_0(A, 1))=k2_xcmplx_0(B, 1)) ) ).
fof(rd17_newton04, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  & v7_ordinal1(B))  => k16_finseq_1(k2_xcmplx_0(k3_finseq_1(A), B), A)=A) ) ).
fof(rd18_newton04, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  & v7_ordinal1(B))  => k5_relat_1(A, k2_finseq_1(k2_newton04(k3_finseq_1(A), B)))=A) ) ).
fof(fc5_newton04, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  & v7_ordinal1(B))  =>  (v1_relat_1(k1_rfinseq(k2_xcmplx_0(k3_finseq_1(A), B), A)) &  (v1_xboole_0(k1_rfinseq(k2_xcmplx_0(k3_finseq_1(A), B), A)) &  (v1_funct_1(k1_rfinseq(k2_xcmplx_0(k3_finseq_1(A), B), A)) & v1_finseq_1(k1_rfinseq(k2_xcmplx_0(k3_finseq_1(A), B), A))) ) ) ) ) ).
fof(fc6_newton04, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  & v7_ordinal1(B))  => v8_ordinal1(k1_funct_1(k1_rfinseq(k3_finseq_1(A), A), B))) ) ).
fof(fc7_newton04, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => v8_ordinal1(k1_funct_1(A, k2_xcmplx_0(k3_finseq_1(A), B)))) ) ).
fof(rd19_newton04, axiom,  (! [A, B, C] :  ( (m1_finseq_1(A, k1_numbers) &  (v7_ordinal1(B) & v7_ordinal1(C)) )  => k17_finseq_1(k1_numbers, k2_xcmplx_0(B, C), k17_finseq_1(k1_numbers, B, A))=k17_finseq_1(k1_numbers, B, A)) ) ).
fof(rd20_newton04, axiom,  (! [A] :  (v7_ordinal1(A) => k16_rvsum_1(k5_finseq_2(k4_ordinal1, A, k5_numbers))=k5_numbers) ) ).
fof(fc8_newton04, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v8_ordinal1(k16_rvsum_1(k5_finseq_2(k4_ordinal1, A, k5_numbers))) & v1_xcmplx_0(k16_rvsum_1(k5_finseq_2(k4_ordinal1, A, k5_numbers)))) ) ) ).
fof(rd21_newton04, axiom,  (! [A, B] :  (v7_ordinal1(A) => k3_finseq_1(k2_finseq_2(A, B))=A) ) ).
fof(fc9_newton04, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (v1_relat_1(k2_finseq_2(A, B)) &  ( ~ (v1_xboole_0(k2_finseq_2(A, B)))  &  (v1_funct_1(k2_finseq_2(A, B)) & v1_finseq_1(k2_finseq_2(A, B))) ) ) ) ) ).
fof(fc10_newton04, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (v1_relat_1(k2_finseq_2(A, B)) &  (v1_funct_1(k2_finseq_2(A, B)) &  (v3_funct_1(k2_finseq_2(A, B)) & v1_finseq_1(k2_finseq_2(A, B))) ) ) ) ) ).
fof(rd22_newton04, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => k3_funct_1(k2_finseq_2(A, B))=B) ) ).
fof(rd23_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_funct_1(A) & v1_finseq_1(A)) ) )  => k3_finseq_5(A)=A) ) ).
fof(rd24_newton04, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => k1_funct_1(k2_finseq_2(k2_xcmplx_0(A, B), C), B)=C) ) ).
fof(fc11_newton04, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => v8_ordinal1(k1_funct_1(k2_finseq_2(A, C), k2_xcmplx_0(A, B)))) ) ).
fof(rd25_newton04, axiom,  (! [A, B] :  (v7_ordinal1(B) => k3_finseq_5(k2_finseq_2(B, A))=k2_finseq_2(B, A)) ) ).
fof(rd26_newton04, axiom,  (! [A] :  (v7_ordinal1(A) => k4_newton(k3_xcmplx_0(k5_numbers, 1), A)=1) ) ).
fof(rd27_newton04, axiom,  (! [A] :  (v7_ordinal1(A) => k4_newton(k3_xcmplx_0(A, 1), A)=1) ) ).
fof(fc12_newton04, axiom,  (! [A, B] :  ( ( (v4_partfun3(A) & m1_finseq_1(A, k1_numbers))  & v7_ordinal1(B))  =>  ~ (v3_xxreal_0(k1_funct_1(A, B))) ) ) ).
fof(cc13_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_xboole_0(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_partfun3(A)) ) ) ) ) ).
fof(fc13_newton04, axiom,  (! [A, B] :  ( ( (v3_partfun3(A) & m1_finseq_1(A, k1_numbers))  & v7_ordinal1(B))  =>  ~ (v2_xxreal_0(k1_funct_1(A, B))) ) ) ).
fof(fc14_newton04, axiom,  (! [A, B, C] :  ( ( (v4_partfun3(A) & m1_finseq_1(A, k1_numbers))  &  (v7_ordinal1(B) & v7_ordinal1(C)) )  =>  ~ (v3_xxreal_0(k1_funct_1(k17_finseq_1(k1_numbers, C, A), B))) ) ) ).
fof(fc15_newton04, axiom,  (! [A, B, C] :  ( ( (v4_partfun3(A) & m1_finseq_1(A, k1_numbers))  &  (v7_ordinal1(B) & v7_ordinal1(C)) )  =>  ~ (v3_xxreal_0(k1_funct_1(k2_rfinseq(k1_numbers, C, A), B))) ) ) ).
fof(fc16_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_xboole_0(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) ) )  =>  (v1_xcmplx_0(k19_rvsum_1(A)) &  ~ (v3_xxreal_0(k19_rvsum_1(A))) ) ) ) ).
fof(fc17_newton04, axiom,  (! [A] :  ( (v4_partfun3(A) & m1_finseq_1(A, k1_numbers))  =>  (v1_xcmplx_0(k16_rvsum_1(A)) &  ~ (v3_xxreal_0(k16_rvsum_1(A))) ) ) ) ).
fof(fc18_newton04, axiom,  (! [A] :  ( (v4_partfun3(A) & m1_finseq_1(A, k1_numbers))  =>  (v1_xcmplx_0(k19_rvsum_1(A)) &  ~ (v3_xxreal_0(k19_rvsum_1(A))) ) ) ) ).
fof(fc19_newton04, axiom,  (! [A] :  ( (v3_partfun3(A) & m1_finseq_1(A, k1_numbers))  =>  (v1_xcmplx_0(k16_rvsum_1(A)) &  ~ (v2_xxreal_0(k16_rvsum_1(A))) ) ) ) ).
fof(fc20_newton04, axiom,  (! [A, B] :  ( (v4_partfun3(B) & m1_finseq_1(B, k1_numbers))  =>  ~ (v3_xxreal_0(k1_funct_1(B, A))) ) ) ).
fof(fc21_newton04, axiom,  (! [A, B] :  ( (v3_partfun3(B) & m1_finseq_1(B, k1_numbers))  =>  ~ (v2_xxreal_0(k1_funct_1(B, A))) ) ) ).
fof(fc22_newton04, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  &  (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) )  =>  (v1_relat_1(k7_finseq_1(B, C)) &  (v5_relat_1(k7_finseq_1(B, C), A) &  (v1_funct_1(k7_finseq_1(B, C)) & v1_finseq_1(k7_finseq_1(B, C))) ) ) ) ) ).
fof(fc23_newton04, axiom,  (! [A, B] :  ( (m1_finseq_1(A, k1_numbers) & v7_ordinal1(B))  =>  (v1_relat_1(k1_rfinseq(B, k17_finseq_1(k1_numbers, B, A))) &  (v1_xboole_0(k1_rfinseq(B, k17_finseq_1(k1_numbers, B, A))) &  (v1_funct_1(k1_rfinseq(B, k17_finseq_1(k1_numbers, B, A))) & v1_finseq_1(k1_rfinseq(B, k17_finseq_1(k1_numbers, B, A)))) ) ) ) ) ).
fof(fc24_newton04, axiom,  (! [A, B] :  ( (m1_finseq_1(A, k1_numbers) & v7_ordinal1(B))  =>  (v1_relat_1(k1_rfinseq(k2_newton04(k3_finseq_1(A), B), A)) &  (v1_xboole_0(k1_rfinseq(k2_newton04(k3_finseq_1(A), B), A)) &  (v1_funct_1(k1_rfinseq(k2_newton04(k3_finseq_1(A), B), A)) & v1_finseq_1(k1_rfinseq(k2_newton04(k3_finseq_1(A), B), A))) ) ) ) ) ).
fof(rc3_newton04, axiom,  (! [A] :  (? [B] :  (m1_finseq_1(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_xboole_0(B) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ) ).
fof(cc14_newton04, axiom,  (! [A] :  (! [B] :  (m1_finseq_1(B, A) =>  (v1_xboole_0(B) => v4_partfun3(B)) ) ) ) ).
fof(cc15_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v4_partfun3(A)) ) ) )  =>  (v1_relat_1(A) &  (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) ) ) ).
fof(cc16_newton04, axiom,  (! [A] :  (m1_finseq_1(A, k4_numbers) =>  (v4_partfun3(A) => v5_relat_1(A, k4_ordinal1)) ) ) ).
fof(rd28_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k2_numbers) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  => k7_valued_1(A, k5_numbers)=A) ) ).
fof(rd29_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k2_numbers) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  => k13_valued_1(A, k5_numbers)=A) ) ).
fof(rd30_newton04, axiom,  (! [A] : k1_funct_1(k9_finseq_1(A), 1)=A) ).
fof(fc25_newton04, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_1(A), k4_finseq_1(A)) &  (v3_funct_2(B, k4_finseq_1(A), k4_finseq_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(A), k4_finseq_1(A))))) ) ) )  =>  (v1_relat_1(k3_relat_1(B, A)) & v1_finseq_1(k3_relat_1(B, A))) ) ) ).
fof(fc26_newton04, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_1(A), k4_finseq_1(A)) &  (v3_funct_2(B, k4_finseq_1(A), k4_finseq_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(A), k4_finseq_1(A))))) ) ) )  =>  (v1_relat_1(k3_relat_1(B, A)) & v4_relat_1(k3_relat_1(B, A), k4_finseq_1(A))) ) ) ).
fof(rd31_newton04, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_relat_1(A, k2_numbers) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  & v1_xcmplx_0(B))  => k13_valued_1(k7_valued_1(A, B), B)=A) ) ).
fof(rd32_newton04, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_relat_1(A, k2_numbers) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  & v1_xcmplx_0(B))  => k7_valued_1(k13_valued_1(A, B), B)=A) ) ).
fof(rd33_newton04, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => k4_xxreal_0(k3_xxreal_0(A, B), k4_xxreal_0(A, B))=k4_xxreal_0(A, B)) ) ).
fof(rd34_newton04, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => k3_xxreal_0(k3_xxreal_0(A, B), k4_xxreal_0(A, B))=k3_xxreal_0(A, B)) ) ).
fof(rd35_newton04, axiom,  (! [A, B, C] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v1_xreal_0(C) &  ~ (v3_xxreal_0(C)) ) ) )  => k3_xxreal_0(k3_xxreal_0(A, B), k2_xcmplx_0(B, C))=k3_xxreal_0(A, B)) ) ).
fof(rd36_newton04, axiom,  (! [A, B, C] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v1_xreal_0(C) &  ~ (v3_xxreal_0(C)) ) ) )  => k4_xxreal_0(k4_xxreal_0(A, B), k6_xcmplx_0(B, C))=k4_xxreal_0(A, B)) ) ).
fof(rd37_newton04, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v7_ordinal1(B) & v7_ordinal1(C)) )  => k16_finseq_1(k2_xcmplx_0(B, C), k16_finseq_1(B, A))=k16_finseq_1(B, A)) ) ).
fof(fc27_newton04, axiom,  (! [A, B] :  ( ( (v4_partfun3(A) & m1_finseq_1(A, k1_numbers))  & v7_ordinal1(B))  =>  (v1_relat_1(k16_finseq_1(B, A)) &  (v1_funct_1(k16_finseq_1(B, A)) &  (v1_finseq_1(k16_finseq_1(B, A)) & v4_partfun3(k16_finseq_1(B, A))) ) ) ) ) ).
fof(fc28_newton04, axiom,  (! [A, B] :  ( ( (v4_partfun3(A) & m1_finseq_1(A, k1_numbers))  & v7_ordinal1(B))  =>  (v1_relat_1(k1_rfinseq(B, A)) &  (v1_funct_1(k1_rfinseq(B, A)) &  (v1_finseq_1(k1_rfinseq(B, A)) & v4_partfun3(k1_rfinseq(B, A))) ) ) ) ) ).
fof(fc29_newton04, axiom,  (! [A] :  (m1_finseq_1(A, k1_numbers) =>  (v1_relat_1(k13_valued_1(A, k4_rfinseq2(A))) &  (v1_funct_1(k13_valued_1(A, k4_rfinseq2(A))) & v4_partfun3(k13_valued_1(A, k4_rfinseq2(A)))) ) ) ) ).
fof(fc30_newton04, axiom,  (! [A] :  (m1_finseq_1(A, k1_numbers) =>  (v1_relat_1(k13_valued_1(A, k3_rfinseq2(A))) &  (v1_funct_1(k13_valued_1(A, k3_rfinseq2(A))) & v3_partfun3(k13_valued_1(A, k3_rfinseq2(A)))) ) ) ) ).
fof(fc31_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(k3_finseq_5(A)) &  (v1_funct_1(k3_finseq_5(A)) &  (v3_card_1(k3_finseq_5(A), k3_finseq_1(A)) & v1_finseq_1(k3_finseq_5(A))) ) ) ) ) ).
fof(fc32_newton04, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k3_finseq_5(B)) &  (v5_relat_1(k3_finseq_5(B), A) &  (v1_funct_1(k3_finseq_5(B)) & v1_finseq_1(k3_finseq_5(B))) ) ) ) ) ).
fof(fc33_newton04, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_valued_0(B)) ) ) )  =>  (v1_relat_1(k24_valued_1(B, A)) &  (v1_funct_1(k24_valued_1(B, A)) & v3_card_1(k24_valued_1(B, A), k3_finseq_1(B))) ) ) ) ).
fof(rd38_newton04, axiom,  (! [A, B, C] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) & v7_ordinal1(C)) )  => k3_finseq_1(k5_newton(A, B, k6_xcmplx_0(k2_xcmplx_0(C, 1), 1)))=k2_xcmplx_0(C, 1)) ) ).
fof(fc34_newton04, axiom,  (! [A, B, C] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) & v7_ordinal1(C)) )  => v3_card_1(k5_newton(A, B, C), k2_xcmplx_0(C, 1))) ) ).
fof(rd39_newton04, axiom,  (! [A] :  (v7_ordinal1(A) => k3_finseq_1(k6_newton(k6_xcmplx_0(k2_xcmplx_0(A, 1), 1)))=k2_xcmplx_0(A, 1)) ) ).
fof(fc35_newton04, axiom,  (! [A] :  (v7_ordinal1(A) => v4_partfun3(k6_newton(A))) ) ).
fof(fc36_newton04, axiom,  (! [A] :  (v7_ordinal1(A) => v3_card_1(k6_newton(A), k2_xcmplx_0(A, 1))) ) ).
fof(rd40_newton04, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => k1_funct_1(k6_newton(A), 2)=A) ) ).
fof(rd41_newton04, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => k1_funct_1(k6_newton(A), A)=A) ) ).
fof(rd42_newton04, axiom,  (! [A, B, C] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) & v7_ordinal1(C)) )  => k3_finseq_1(k3_newton04(A, B, k6_xcmplx_0(k2_xcmplx_0(C, 1), 1)))=k2_xcmplx_0(C, 1)) ) ).
fof(fc37_newton04, axiom,  (! [A, B, C] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) & v7_ordinal1(C)) )  => v3_card_1(k3_newton04(A, B, C), k2_xcmplx_0(C, 1))) ) ).
fof(fc38_newton04, axiom,  (! [A, B, C, D] :  ( (v1_int_1(A) &  (v1_int_1(B) &  (v7_ordinal1(C) & v7_ordinal1(D)) ) )  => v1_int_1(k1_funct_1(k5_newton(A, B, C), D))) ) ).
fof(fc39_newton04, axiom,  (! [A, B, C] :  ( (v1_int_1(A) &  (v1_int_1(B) & v7_ordinal1(C)) )  => v5_relat_1(k5_newton(A, B, C), k4_numbers)) ) ).
fof(fc40_newton04, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v2_xxreal_0(k3_newton(B, k2_xcmplx_0(A, B)))) ) ).
fof(fc41_newton04, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => v8_ordinal1(k3_newton(k2_xcmplx_0(A, B), A))) ) ).
fof(fc42_newton04, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => v8_ordinal1(k1_funct_1(k6_newton(A), k2_xcmplx_0(k2_xcmplx_0(A, B), 1)))) ) ).
fof(fc43_newton04, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v2_xxreal_0(k1_funct_1(k6_newton(k2_xcmplx_0(A, B)), k2_xcmplx_0(B, 1)))) ) ).
fof(fc44_newton04, axiom,  (! [A, B, C, D] :  ( (v1_int_1(A) &  (v1_int_1(B) &  (v7_ordinal1(C) & v7_ordinal1(D)) ) )  => v1_int_1(k1_funct_1(k3_newton04(A, B, D), C))) ) ).
fof(fc45_newton04, axiom,  (! [A, B, C] :  ( (v1_int_1(A) &  (v1_int_1(B) & v7_ordinal1(C)) )  => v5_relat_1(k3_newton04(A, B, C), k4_numbers)) ) ).
fof(fc46_newton04, axiom,  (! [A, B, C, D] :  ( ( (v1_xreal_0(A) & v2_xxreal_0(A))  &  ( (v1_xreal_0(B) & v2_xxreal_0(B))  &  (v7_ordinal1(C) & v7_ordinal1(D)) ) )  => v2_xxreal_0(k1_funct_1(k4_newton04(A, B, k2_xcmplx_0(C, D)), k2_xcmplx_0(C, 1)))) ) ).
fof(fc47_newton04, axiom,  (! [A, B, C] :  ( ( (v1_xreal_0(A) & v2_xxreal_0(A))  &  ( (v1_xreal_0(B) & v2_xxreal_0(B))  & v7_ordinal1(C)) )  =>  (v1_xcmplx_0(k16_rvsum_1(k4_newton04(A, B, C))) & v2_xxreal_0(k16_rvsum_1(k4_newton04(A, B, C)))) ) ) ).
fof(fc48_newton04, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => v8_ordinal1(k1_funct_1(k5_newton(k5_numbers, k5_numbers, B), A))) ) ).
fof(fc49_newton04, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => v8_ordinal1(k1_funct_1(k4_newton04(k5_numbers, k5_numbers, B), A))) ) ).
fof(fc50_newton04, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => v3_relat_1(k5_newton(k5_numbers, k5_numbers, A))) ) ).
fof(fc51_newton04, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => v3_relat_1(k3_newton04(k5_numbers, k5_numbers, A))) ) ).
fof(fc52_newton04, axiom,  (! [A] :  ( (v3_relat_1(A) & m1_finseq_1(A, k2_numbers))  =>  (v8_ordinal1(k16_rvsum_1(A)) & v1_xcmplx_0(k16_rvsum_1(A))) ) ) ).
fof(rd43_newton04, axiom,  (! [A] :  (v7_ordinal1(A) => k1_funct_1(k6_newton(A), 1)=1) ) ).
fof(rd44_newton04, axiom,  (! [A] :  (v7_ordinal1(A) => k1_funct_1(k6_newton(A), k2_xcmplx_0(A, 1))=1) ) ).
fof(rd45_newton04, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => k1_funct_1(k4_newton04(1, 1, k2_xcmplx_0(A, B)), k2_xcmplx_0(B, 1))=1) ) ).
fof(rd46_newton04, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => k1_funct_1(k4_newton04(1, k4_xcmplx_0(1), k2_xcmplx_0(k3_xcmplx_0(2, B), A)), k3_xcmplx_0(2, B))=k4_xcmplx_0(1)) ) ).
fof(rd47_newton04, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v1_abian(B)) ) )  => k1_funct_1(k4_newton04(1, k4_xcmplx_0(1), k2_xcmplx_0(A, B)), B)=1) ) ).
fof(fc53_newton04, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v7_ordinal1(B))  =>  (v1_relat_1(k2_finseq_2(B, A)) &  (v1_funct_1(k2_finseq_2(B, A)) &  (v3_funct_1(k2_finseq_2(B, A)) & v1_finseq_1(k2_finseq_2(B, A))) ) ) ) ) ).
fof(fc54_newton04, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v7_ordinal1(B))  => v3_funct_1(k3_newton04(A, A, B))) ) ).
fof(fc55_newton04, axiom,  (! [A, B, C, D] :  ( ( (v1_xreal_0(A) &  ~ (v3_xxreal_0(A)) )  &  ( (v1_xreal_0(B) &  ~ (v3_xxreal_0(B)) )  &  (v7_ordinal1(C) & v7_ordinal1(D)) ) )  =>  ~ (v3_xxreal_0(k1_funct_1(k5_newton(A, B, C), D))) ) ) ).
fof(fc56_newton04, axiom,  (! [A, B, C, D] :  ( ( (v1_xreal_0(A) &  ~ (v3_xxreal_0(A)) )  &  ( (v1_xreal_0(B) &  ~ (v3_xxreal_0(B)) )  &  (v7_ordinal1(C) & v7_ordinal1(D)) ) )  =>  ~ (v3_xxreal_0(k1_funct_1(k4_newton04(A, B, C), D))) ) ) ).
fof(rd48_newton04, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_abian(A))  => k18_rvsum_1(k4_newton04(1, k4_xcmplx_0(1), A))=1) ) ).
fof(fc57_newton04, axiom,  (! [A, B] :  ( (v1_xreal_0(A) &  (v7_ordinal1(B) &  ~ (v1_abian(B)) ) )  =>  (v8_ordinal1(k16_rvsum_1(k4_newton04(A, k4_xcmplx_0(A), B))) & v1_xcmplx_0(k16_rvsum_1(k4_newton04(A, k4_xcmplx_0(A), B)))) ) ) ).
fof(rd49_newton04, axiom,  (! [A] :  (v7_ordinal1(A) => k18_rvsum_1(k4_newton04(1, 1, k6_xcmplx_0(k2_xcmplx_0(A, 1), 1)))=k2_xcmplx_0(A, 1)) ) ).
fof(fc58_newton04, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (v8_ordinal1(k16_rvsum_1(k6_newton(A))))  & v1_xcmplx_0(k16_rvsum_1(k6_newton(A)))) ) ) ).
fof(fc59_newton04, axiom,  (! [A, B, C] :  ( ( (v1_xreal_0(A) &  ~ (v3_xxreal_0(A)) )  &  ( (v1_xreal_0(B) &  ~ (v3_xxreal_0(B)) )  & v7_ordinal1(C)) )  => v4_partfun3(k3_newton04(A, B, C))) ) ).
fof(fc60_newton04, axiom,  (! [A, B, C] :  ( ( (v1_xreal_0(A) &  ~ (v3_xxreal_0(A)) )  &  ( (v1_xreal_0(B) &  ~ (v3_xxreal_0(B)) )  & v7_ordinal1(C)) )  => v4_partfun3(k5_newton(A, B, C))) ) ).
fof(fc61_newton04, axiom,  (! [A, B, C] :  ( ( (v1_xreal_0(A) &  ~ (v3_xxreal_0(A)) )  &  ( (v1_xreal_0(B) &  ~ (v3_xxreal_0(B)) )  & v7_ordinal1(C)) )  =>  (v1_xcmplx_0(k16_rvsum_1(k4_newton04(A, B, C))) &  ~ (v3_xxreal_0(k16_rvsum_1(k4_newton04(A, B, C)))) ) ) ) ).
fof(fc62_newton04, axiom,  (! [A, B, C] :  ( ( (v1_xreal_0(A) &  ~ (v3_xxreal_0(A)) )  &  ( (v1_xreal_0(B) &  ~ (v3_xxreal_0(B)) )  & v7_ordinal1(C)) )  =>  (v1_xcmplx_0(k16_rvsum_1(k5_newton(A, B, C))) &  ~ (v3_xxreal_0(k16_rvsum_1(k5_newton(A, B, C)))) ) ) ) ).
fof(fc63_newton04, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => v2_xxreal_0(k6_xcmplx_0(k7_newton(k2_xcmplx_0(A, B)), k3_xcmplx_0(k7_newton(A), k7_newton(B))))) ) ).
fof(t1_newton04, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_xreal_0(A))  =>  (! [B] :  (v1_xcmplx_0(B) =>  (v1_xreal_0(k3_xcmplx_0(A, B)) => v1_xreal_0(B)) ) ) ) ) ).
fof(t2_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (? [B] :  ( ~ (v1_xboole_0(B))  & m1_fomodel0(A, B)) ) ) ) ).
fof(t3_newton04, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (! [C] :  (m1_fomodel0(C, B) =>  (r2_tarski(A, k4_finseq_1(C)) => k3_finseq_1(k17_finseq_1(B, A, C))=A) ) ) ) ) ) ).
fof(t4_newton04, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (! [C] :  (m1_fomodel0(C, B) =>  (r1_xxreal_0(k3_finseq_1(C), A) => k3_finseq_1(k17_finseq_1(B, A, C))=k3_finseq_1(C)) ) ) ) ) ) ).
fof(t5_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_1(A), k4_finseq_1(A)) &  (v3_funct_2(B, k4_finseq_1(A), k4_finseq_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(A), k4_finseq_1(A))))) ) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_1(k3_finseq_5(A)), k4_finseq_1(k3_finseq_5(A))) &  (v3_funct_2(B, k4_finseq_1(k3_finseq_5(A)), k4_finseq_1(k3_finseq_5(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(k3_finseq_5(A)), k4_finseq_1(k3_finseq_5(A)))))) ) ) ) ) ) ) ).
fof(t6_newton04, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_funct_1(k3_finseq_5(k1_finseq_2(A))) &  (v1_funct_2(k3_finseq_5(k1_finseq_2(A)), k2_finseq_1(A), k2_finseq_1(A)) &  (v3_funct_2(k3_finseq_5(k1_finseq_2(A)), k2_finseq_1(A), k2_finseq_1(A)) & m1_subset_1(k3_finseq_5(k1_finseq_2(A)), k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A), k2_finseq_1(A))))) ) ) ) ) ).
fof(t7_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_funct_1(k1_finseq_2(k3_finseq_1(A))) &  (v1_funct_2(k1_finseq_2(k3_finseq_1(A)), k4_finseq_1(A), k4_finseq_1(A)) &  (v3_funct_2(k1_finseq_2(k3_finseq_1(A)), k4_finseq_1(A), k4_finseq_1(A)) & m1_subset_1(k1_finseq_2(k3_finseq_1(A)), k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(A), k4_finseq_1(A))))) ) ) ) ) ).
fof(t8_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_funct_1(k3_finseq_5(k1_finseq_2(k3_finseq_1(A)))) &  (v1_funct_2(k3_finseq_5(k1_finseq_2(k3_finseq_1(A))), k4_finseq_1(k3_finseq_5(A)), k4_finseq_1(k3_finseq_5(A))) &  (v3_funct_2(k3_finseq_5(k1_finseq_2(k3_finseq_1(A))), k4_finseq_1(k3_finseq_5(A)), k4_finseq_1(k3_finseq_5(A))) & m1_subset_1(k3_finseq_5(k1_finseq_2(k3_finseq_1(A))), k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(k3_finseq_5(A)), k4_finseq_1(k3_finseq_5(A)))))) ) ) ) ) ).
fof(t9_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k9_xtuple_0(A), k9_xtuple_0(A)) &  (v3_funct_2(B, k9_xtuple_0(A), k9_xtuple_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_xtuple_0(A), k9_xtuple_0(A))))) ) )  => k9_xtuple_0(k3_relat_1(B, A))=k9_xtuple_0(A)) ) ) ) ).
fof(t10_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => A=k3_relat_1(k3_finseq_5(k1_finseq_2(k3_finseq_1(A))), k3_finseq_5(A))) ) ).
fof(t11_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => r2_classes1(A, k3_finseq_5(A))) ) ).
fof(t12_newton04, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, C) &  (v1_funct_1(D) & v1_finseq_1(D)) ) )  =>  ~ ( (k3_finseq_1(D)=k2_xcmplx_0(A, B) &  (! [E] :  ( (v1_relat_1(E) &  (v5_relat_1(E, C) &  (v1_funct_1(E) & v1_finseq_1(E)) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v5_relat_1(F, C) &  (v1_funct_1(F) & v1_finseq_1(F)) ) )  =>  ~ ( (k3_finseq_1(E)=A &  (k3_finseq_1(F)=B & D=k7_finseq_1(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_newton04, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v4_partfun3(B) & m1_fomodel0(B, k1_numbers))  => r1_xxreal_0(k18_rvsum_1(k17_finseq_1(k1_numbers, A, B)), k18_rvsum_1(B))) ) ) ) ).
fof(t14_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k2_numbers) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k7_valued_1(k7_valued_1(A, B), C)=k7_valued_1(A, k2_xcmplx_0(B, C))) ) ) ) ) ) ).
fof(t15_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_valued_0(C)) )  => k18_valued_1(k18_valued_1(A, B), C)=k18_valued_1(A, k18_valued_1(B, C))) ) ) ) ) ) ).
fof(t16_newton04, axiom,  (! [A] :  (m1_fomodel0(A, k2_numbers) =>  (! [B] :  (m1_fomodel0(B, k2_numbers) =>  (! [C] : k1_funct_1(k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B), C)=k3_xcmplx_0(k1_funct_1(A, C), k1_funct_1(B, C))) ) ) ) ) ).
fof(t17_newton04, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k6_xcmplx_0(k4_xxreal_0(A, B), k3_xxreal_0(A, B))=k9_complex1(k6_xcmplx_0(A, B))) ) ) ) ).
fof(t18_newton04, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (k3_xcmplx_0(k3_xxreal_0(A, B), k4_xxreal_0(A, B))=k3_xcmplx_0(A, B) & k2_xcmplx_0(k3_xxreal_0(A, B), k4_xxreal_0(A, B))=k2_xcmplx_0(A, B)) ) ) ) ) ).
fof(t19_newton04, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v4_partfun3(B) & m1_fomodel0(B, k1_numbers))  => r1_xxreal_0(k18_rvsum_1(k17_finseq_1(k1_numbers, A, B)), k18_rvsum_1(B))) ) ) ) ).
fof(t20_newton04, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v4_partfun3(C) & m1_fomodel0(C, k1_numbers))  =>  (r1_xxreal_0(B, A) => r1_xxreal_0(k18_rvsum_1(k17_finseq_1(k1_numbers, B, C)), k18_rvsum_1(k17_finseq_1(k1_numbers, A, C)))) ) ) ) ) ) ) ).
fof(t21_newton04, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v4_partfun3(B) & m1_fomodel0(B, k1_numbers))  => r1_xxreal_0(k1_funct_1(B, A), k18_rvsum_1(B))) ) ) ) ).
fof(t22_newton04, axiom,  (! [A] :  (m1_fomodel0(A, k2_numbers) =>  (! [B] :  (m1_fomodel0(B, k2_numbers) =>  (! [C] :  (m1_fomodel0(C, k2_numbers) =>  (k4_finseq_1(C)=k9_subset_1(k4_ordinal1, k4_finseq_1(A), k4_finseq_1(B)) => k3_finseq_1(C)=k1_newton04(k3_finseq_1(A), k3_finseq_1(B))) ) ) ) ) ) ) ).
fof(t23_newton04, axiom,  (! [A] :  (m1_fomodel0(A, k2_numbers) =>  (! [B] :  (m1_fomodel0(B, k2_numbers) => k3_finseq_1(k2_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B))=k1_newton04(k3_finseq_1(A), k3_finseq_1(B))) ) ) ) ).
fof(t24_newton04, axiom,  (! [A] :  (m1_fomodel0(A, k2_numbers) =>  (! [B] :  (m1_fomodel0(B, k2_numbers) => k3_finseq_1(k19_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B))=k1_newton04(k3_finseq_1(A), k3_finseq_1(B))) ) ) ) ).
fof(t25_newton04, axiom,  (! [A] :  (m1_fomodel0(A, k2_numbers) =>  (! [B] :  (m1_fomodel0(B, k2_numbers) => k3_finseq_1(k46_valued_1(k4_ordinal1, k2_numbers, k2_numbers, A, B))=k1_newton04(k3_finseq_1(A), k3_finseq_1(B))) ) ) ) ).
fof(t26_newton04, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v4_partfun3(B) & m1_fomodel0(B, k1_numbers))  =>  (! [C] :  ( (v4_partfun3(C) & m1_fomodel0(C, k1_numbers))  => r1_xxreal_0(k1_funct_1(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, B, C), A), k3_xcmplx_0(k18_rvsum_1(B), k1_funct_1(C, A)))) ) ) ) ) ) ).
fof(t27_newton04, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (? [C] :  (m1_fomodel0(C, k1_numbers) &  (k3_finseq_1(C)=B & k18_rvsum_1(C)=A) ) ) ) ) ) ) ).
fof(t28_newton04, axiom,  (! [A] :  (m1_fomodel0(A, k2_numbers) =>  (! [B] :  (v1_xcmplx_0(B) => k7_valued_1(A, B)=k1_valued_1(A, k2_finseq_2(k3_finseq_1(A), B))) ) ) ) ).
fof(t29_newton04, axiom,  (! [A] :  (m1_fomodel0(A, k2_numbers) =>  (! [B] :  (v1_xcmplx_0(B) => k16_rvsum_1(k7_valued_1(A, B))=k2_xcmplx_0(k17_rvsum_1(A), k3_xcmplx_0(B, k3_finseq_1(A)))) ) ) ) ).
fof(t30_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_valued_0(A)) ) )  =>  (! [B] :  (v1_xcmplx_0(B) => k16_rvsum_1(k13_valued_1(A, B))=k6_xcmplx_0(k16_rvsum_1(A), k3_xcmplx_0(B, k3_finseq_1(A)))) ) ) ) ).
fof(t31_newton04, axiom,  (! [A] :  (m1_fomodel0(A, k1_numbers) =>  (! [B] :  ( (v4_partfun3(B) & m1_fomodel0(B, k1_numbers))  =>  ( (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k1_funct_1(B, C), k1_funct_1(A, C))) )  => v4_partfun3(A)) ) ) ) ) ).
fof(t32_newton04, axiom,  (! [A] :  (m1_fomodel0(A, k1_numbers) =>  (! [B] :  (m1_fomodel0(B, k1_numbers) =>  ( (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k1_funct_1(B, C), k1_funct_1(A, C))) )  => r1_xxreal_0(k18_rvsum_1(B), k18_rvsum_1(A))) ) ) ) ) ).
fof(t33_newton04, axiom,  (! [A] :  (m1_fomodel0(A, k2_numbers) => k17_rvsum_1(k17_finseq_1(k2_numbers, 1, A))=k1_funct_1(A, 1)) ) ).
fof(t34_newton04, axiom,  (! [A] :  (m1_fomodel0(A, k2_numbers) =>  (! [B] :  (v7_ordinal1(B) => k17_rvsum_1(k17_finseq_1(k2_numbers, 1, k2_rfinseq(k2_numbers, B, A)))=k1_funct_1(A, k2_xcmplx_0(B, 1))) ) ) ) ).
fof(t35_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k1_rfinseq(C, k1_rfinseq(B, A))=k1_rfinseq(k2_xcmplx_0(B, C), A)) ) ) ) ) ) ).
fof(t36_newton04, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_fomodel0(B, k2_numbers) => B=k8_finseq_1(k2_numbers, k8_finseq_1(k2_numbers, k17_finseq_1(k2_numbers, A, B), k17_finseq_1(k2_numbers, 1, k2_rfinseq(k2_numbers, A, B))), k2_rfinseq(k2_numbers, k2_xcmplx_0(A, 1), B))) ) ) ) ).
fof(t37_newton04, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_fomodel0(B, k2_numbers) => k17_rvsum_1(B)=k2_xcmplx_0(k2_xcmplx_0(k17_rvsum_1(k17_finseq_1(k2_numbers, A, B)), k1_funct_1(B, k2_xcmplx_0(A, 1))), k17_rvsum_1(k2_rfinseq(k2_numbers, k2_xcmplx_0(A, 1), B)))) ) ) ) ).
fof(t38_newton04, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  => k1_funct_1(B, k2_xcmplx_0(A, C))=k1_funct_1(k1_rfinseq(A, B), C)) ) ) ) ) ) ).
fof(t39_newton04, axiom,  (! [A] :  (m1_fomodel0(A, k1_numbers) =>  (! [B] :  (m1_fomodel0(B, k1_numbers) =>  ~ ( ( (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(k1_funct_1(B, C), k1_funct_1(A, C)) &  ~ ( (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k1_funct_1(A, k2_xcmplx_0(D, 1)), k1_funct_1(B, k2_xcmplx_0(D, 1)))) ) ) ) ) )  & r1_xxreal_0(k18_rvsum_1(A), k18_rvsum_1(B))) ) ) ) ) ) ).
fof(t40_newton04, axiom,  (! [A] :  ( (v4_partfun3(A) & m1_fomodel0(A, k1_numbers))  =>  (! [B] :  ( (v4_partfun3(B) & m1_fomodel0(B, k1_numbers))  => r1_xxreal_0(k16_rvsum_1(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B)), k3_xcmplx_0(k18_rvsum_1(A), k18_rvsum_1(B)))) ) ) ) ).
fof(t41_newton04, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_valued_0(B)) ) )  => k18_valued_1(k2_finseq_2(k3_finseq_1(B), A), B)=k24_valued_1(B, A)) ) ) ) ).
fof(t42_newton04, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k24_valued_1(k9_finseq_1(B), A)=k9_finseq_1(k3_xcmplx_0(A, B))) ) ) ) ).
fof(t43_newton04, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_valued_0(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) & v1_valued_0(C)) ) )  => k24_valued_1(k7_finseq_1(B, C), A)=k7_finseq_1(k24_valued_1(B, A), k24_valued_1(C, A))) ) ) ) ) ) ).
fof(t44_newton04, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_valued_0(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) & v1_valued_0(C)) ) )  =>  (C=k3_finseq_5(B) => k3_finseq_5(k24_valued_1(B, A))=k24_valued_1(C, A)) ) ) ) ) ) ) ).
fof(d1_newton04, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) => k3_newton04(A, B, C)=k52_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k5_newton(A, B, C), k6_newton(C))) ) ) ) ) ) ).
fof(t45_newton04, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  (k3_finseq_1(k5_newton(A, B, C))=k3_finseq_1(k6_newton(C)) &  (k3_finseq_1(k3_newton04(A, B, C))=k3_finseq_1(k6_newton(C)) &  (k3_finseq_1(k5_newton(A, B, C))=k3_finseq_1(k3_newton04(A, B, C)) &  (k4_finseq_1(k5_newton(A, B, C))=k4_finseq_1(k6_newton(C)) &  (k4_finseq_1(k3_newton04(A, B, C))=k4_finseq_1(k6_newton(C)) & k4_finseq_1(k5_newton(A, B, C))=k4_finseq_1(k3_newton04(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_newton04, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(k6_newton(A))) => r1_int_1(k1_funct_1(k6_newton(A), D), k1_funct_1(k5_newton(B, C, A), D))) ) ) ) ) ) ) ) ) ).
fof(t47_newton04, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r2_tarski(A, k4_finseq_1(k6_newton(B))) & v8_ordinal1(k1_funct_1(k6_newton(B), A))) ) ) ) ) ) ).
fof(d2_newton04, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_fomodel0(D, k1_numbers) =>  (D=k4_newton04(A, B, C) <=>  (k3_finseq_1(D)=k2_xcmplx_0(C, 1) &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ( (r2_tarski(E, k4_finseq_1(D)) &  (G=k6_xcmplx_0(E, 1) & F=k6_xcmplx_0(C, G)) )  => k1_funct_1(D, E)=k3_xcmplx_0(k1_newton(A, F), k1_newton(B, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_newton04, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  (k1_funct_1(k5_newton(A, B, C), 1)=k1_funct_1(k4_newton04(A, B, C), 1) & k1_funct_1(k5_newton(A, B, C), k2_xcmplx_0(C, 1))=k1_funct_1(k4_newton04(A, B, C), k2_xcmplx_0(C, 1))) ) ) ) ) ) ) ).
fof(t49_newton04, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) => k4_newton04(B, C, k2_xcmplx_0(A, 1))=k7_finseq_1(k10_rvsum_1(k4_newton04(B, C, A), B), k9_finseq_1(k1_newton(C, k2_xcmplx_0(A, 1))))) ) ) ) ) ) ).
fof(t50_newton04, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) => k4_newton04(B, C, k2_xcmplx_0(A, 1))=k7_finseq_1(k9_finseq_1(k1_newton(B, k2_xcmplx_0(A, 1))), k10_rvsum_1(k4_newton04(B, C, A), C))) ) ) ) ) ) ).
fof(t51_newton04, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) => k6_xcmplx_0(k1_newton(A, k2_xcmplx_0(C, 1)), k1_newton(B, k2_xcmplx_0(C, 1)))=k3_xcmplx_0(k6_xcmplx_0(A, B), k18_rvsum_1(k4_newton04(A, B, C)))) ) ) ) ) ) ).
fof(t52_newton04, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  => k1_newton(A, B)=k18_rvsum_1(k4_newton04(A, k5_numbers, B))) ) ) ) ).
fof(t53_newton04, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) => k1_newton(A, k2_xcmplx_0(B, 1))=k2_xcmplx_0(k3_xcmplx_0(k18_rvsum_1(k4_newton04(A, 1, B)), k6_xcmplx_0(A, 1)), 1)) ) ) ) ).
fof(t54_newton04, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (r2_hidden(F, k4_finseq_1(k4_newton04(k3_xcmplx_0(A, B), k3_xcmplx_0(C, D), E))) => k1_funct_1(k4_newton04(k3_xcmplx_0(A, B), k3_xcmplx_0(C, D), E), F)=k3_xcmplx_0(k1_funct_1(k4_newton04(A, D, E), F), k1_funct_1(k4_newton04(B, C, E), F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_newton04, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v7_ordinal1(E) => k4_newton04(k3_xcmplx_0(A, B), k3_xcmplx_0(C, D), E)=k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k4_newton04(A, D, E), k4_newton04(B, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t56_newton04, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) => k4_newton04(A, B, C)=k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k4_newton04(A, 1, C), k4_newton04(1, B, C))) ) ) ) ) ) ).
fof(t57_newton04, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) => k5_newton(A, B, C)=k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k6_newton(C), k4_newton04(A, B, C))) ) ) ) ) ) ).
fof(t58_newton04, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  (k5_newton(A, B, C)=k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k5_newton(A, 1, C), k4_newton04(1, B, C)) & k5_newton(A, B, C)=k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k4_newton04(A, 1, C), k5_newton(1, B, C))) ) ) ) ) ) ) ).
fof(t59_newton04, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v7_ordinal1(E) => k5_newton(k3_xcmplx_0(A, B), k3_xcmplx_0(C, D), E)=k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k6_newton(E), k4_newton04(A, C, E)), k4_newton04(B, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t60_newton04, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(k4_newton04(A, A, B))) => k1_funct_1(k4_newton04(A, A, B), C)=k1_newton(A, B)) ) ) ) ) ) ) ).
fof(t61_newton04, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) => k4_newton04(B, B, A)=k2_finseq_2(k2_xcmplx_0(A, 1), k1_newton(B, A))) ) ) ) ).
fof(t62_newton04, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) => k21_rvsum_1(k4_newton04(B, B, A))=k1_newton(B, k3_xcmplx_0(A, k2_xcmplx_0(A, 1)))) ) ) ) ).
fof(t63_newton04, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) &  (v1_finseq_1(B) & v1_valued_0(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) &  (v1_finseq_1(C) & v1_valued_0(C)) ) ) )  => k19_rvsum_1(k18_valued_1(B, C))=k3_xcmplx_0(k19_rvsum_1(B), k19_rvsum_1(C))) ) ) ) ) ) ).
fof(t64_newton04, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) => k4_newton04(A, B, C)=k4_finseq_5(k1_numbers, k4_newton04(B, A, C))) ) ) ) ) ) ).
fof(t65_newton04, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) => k18_rvsum_1(k4_newton04(A, A, B))=k3_xcmplx_0(k2_xcmplx_0(B, 1), k1_newton(A, B))) ) ) ) ).
fof(t66_newton04, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_abian(B))  => k18_rvsum_1(k4_newton04(A, k4_xcmplx_0(A), B))=k1_newton(A, B)) ) ) ) ).
fof(t67_newton04, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) => r2_classes1(k4_newton04(B, C, A), k4_newton04(C, B, A))) ) ) ) ) ) ).
fof(t68_newton04, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) => k21_rvsum_1(k4_newton04(B, C, A))=k21_rvsum_1(k4_newton04(C, B, A))) ) ) ) ) ) ).
fof(t69_newton04, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_xreal_0(B) &  ~ (v3_xxreal_0(B)) )  => k21_rvsum_1(k4_newton04(B, 1, A))=k1_newton(B, k4_newton(2, k2_xcmplx_0(A, 1)))) ) ) ) ).
fof(t70_newton04, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => r1_xxreal_0(k3_xcmplx_0(k7_newton(B), k7_newton(A)), k7_newton(k2_xcmplx_0(B, A)))) ) ) ) ).
fof(t71_newton04, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (k4_newton(A, k2_xcmplx_0(B, A))=1 <=>  (B=k5_numbers | A=k5_numbers) ) ) ) ) ) ).
fof(t72_newton04, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (k3_xcmplx_0(k7_newton(B), k7_newton(A))=k7_newton(k2_xcmplx_0(B, A)) <=>  (B=k5_numbers | A=k5_numbers) ) ) ) ) ) ).
fof(t73_newton04, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) => k18_rvsum_1(k4_newton04(B, B, A))=k3_xcmplx_0(k18_rvsum_1(k4_newton04(1, 1, A)), k18_rvsum_1(k5_newton(B, k5_numbers, A)))) ) ) ) ).
fof(t74_newton04, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => k18_rvsum_1(k5_newton(k2_xcmplx_0(B, C), D, A))=k18_rvsum_1(k5_newton(B, k2_xcmplx_0(C, D), A))) ) ) ) ) ) ) ) ).
fof(t75_newton04, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k1_funct_1(k6_newton(B), k2_xcmplx_0(A, 1))=k4_newton(A, B)) ) ) ) ).
fof(t76_newton04, axiom,  (! [A] :  (v7_ordinal1(A) => k4_newton(A, k3_xcmplx_0(2, A))=k7_xcmplx_0(k7_newton(k3_xcmplx_0(2, A)), k11_newton(k7_newton(A), 2))) ) ).
fof(t77_newton04, axiom,  (! [A] :  (v7_ordinal1(A) => k1_funct_1(k6_newton(k2_xcmplx_0(k3_xcmplx_0(2, A), 1)), k2_xcmplx_0(A, 1))=k1_funct_1(k6_newton(k2_xcmplx_0(k3_xcmplx_0(2, A), 1)), k2_xcmplx_0(A, 2))) ) ).
fof(t78_newton04, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v8_ordinal1(D))  & v1_int_1(D))  =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(B, C))  => r1_int_1(D, k1_funct_1(k4_newton04(D, A, C), B))) ) ) ) ) ) ) ) ) ).
fof(t79_newton04, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) => r1_int_1(k3_xcmplx_0(C, D), k6_xcmplx_0(k1_funct_1(k5_newton(C, D, B), A), k1_funct_1(k4_newton04(C, D, B), A)))) ) ) ) ) ) ) ) ).
fof(t80_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  =>  (! [B] :  (v1_int_1(B) =>  ( (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(A)) => r1_int_1(B, k1_funct_1(A, C))) ) )  => r1_int_1(B, k16_rvsum_1(A))) ) ) ) ) ).
fof(t81_newton04, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) => r1_int_1(k3_xcmplx_0(k3_xcmplx_0(B, C), k6_xcmplx_0(B, C)), k6_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(B, C), k1_newton(k2_xcmplx_0(B, C), A)), k6_xcmplx_0(k1_newton(B, k2_xcmplx_0(A, 1)), k1_newton(C, k2_xcmplx_0(A, 1)))))) ) ) ) ) ) ).
fof(t82_newton04, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_xreal_0(C) &  ~ (v3_xxreal_0(C)) )  =>  (! [D] :  ( (v1_xreal_0(D) &  ~ (v3_xxreal_0(D)) )  => r1_xxreal_0(k1_funct_1(k4_newton04(C, D, B), A), k1_funct_1(k5_newton(C, D, B), A))) ) ) ) ) ) ) ) ).
fof(t83_newton04, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_xreal_0(B) &  ~ (v3_xxreal_0(B)) )  =>  (! [C] :  ( (v1_xreal_0(C) &  ~ (v3_xxreal_0(C)) )  => r1_xxreal_0(k18_rvsum_1(k4_newton04(B, C, A)), k1_newton(k2_xcmplx_0(B, C), A))) ) ) ) ) ) ).
fof(t84_newton04, axiom,  (! [A] :  ( (v1_xreal_0(A) &  ~ (v3_xxreal_0(A)) )  =>  (! [B] :  ( (v1_xreal_0(B) &  ~ (v3_xxreal_0(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  => r1_xxreal_0(k2_xcmplx_0(k1_newton(A, C), k1_newton(B, C)), k18_rvsum_1(k4_newton04(A, B, C)))) ) ) ) ) ) ).
fof(t85_newton04, axiom,  (! [A] :  ( (v1_xreal_0(A) &  ~ (v3_xxreal_0(A)) )  =>  (! [B] :  ( (v1_xreal_0(B) &  ~ (v3_xxreal_0(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  => r1_xxreal_0(k1_newton(k2_xcmplx_0(A, B), k2_xcmplx_0(C, 1)), k2_xcmplx_0(k3_xcmplx_0(A, k1_newton(k2_xcmplx_0(A, k3_xcmplx_0(2, B)), C)), k1_newton(B, k2_xcmplx_0(C, 1))))) ) ) ) ) ) ).
fof(t86_newton04, axiom,  (! [A] :  ( (v1_xreal_0(A) &  ~ (v3_xxreal_0(A)) )  =>  (! [B] :  ( (v1_xreal_0(B) &  ~ (v3_xxreal_0(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  => r1_xxreal_0(k2_xcmplx_0(k3_xcmplx_0(A, k1_newton(k2_xcmplx_0(A, B), C)), k3_xcmplx_0(k2_xcmplx_0(A, B), k1_newton(B, C))), k1_newton(k2_xcmplx_0(A, B), k2_xcmplx_0(C, 1)))) ) ) ) ) ) ).
fof(t87_newton04, axiom,  (! [A] :  ( (v1_xreal_0(A) & v2_xxreal_0(A))  =>  (! [B] :  ( (v1_xreal_0(B) & v2_xxreal_0(B))  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  ~ (r1_xxreal_0(k18_rvsum_1(k5_newton(A, B, k2_xcmplx_0(C, 1))), k18_rvsum_1(k4_newton04(A, B, k2_xcmplx_0(C, 1))))) ) ) ) ) ) ) ).
fof(t88_newton04, axiom,  (! [A] :  ( (v1_xreal_0(A) & v2_xxreal_0(A))  =>  (! [B] :  ( (v1_xreal_0(B) & v2_xxreal_0(B))  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  ~ (r1_xxreal_0(k18_rvsum_1(k4_newton04(k2_xcmplx_0(A, B), k5_numbers, k2_xcmplx_0(C, 1))), k18_rvsum_1(k4_newton04(A, B, k2_xcmplx_0(C, 1))))) ) ) ) ) ) ) ).
fof(t89_newton04, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k1_funct_1(k4_newton04(A, B, C), D), k1_funct_1(k4_newton04(k9_complex1(A), k9_complex1(B), C), D))) ) ) ) ) ) ) ) ).
fof(t90_newton04, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v1_abian(C)) )  => k1_funct_1(k4_newton04(A, k4_xcmplx_0(A), k2_xcmplx_0(B, C)), C)=k1_newton(A, k2_xcmplx_0(B, C))) ) ) ) ) ) ).
fof(t91_newton04, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  => k1_funct_1(k4_newton04(A, k4_xcmplx_0(A), k2_xcmplx_0(B, k3_xcmplx_0(2, C))), k3_xcmplx_0(2, C))=k4_xcmplx_0(k1_newton(A, k2_xcmplx_0(B, k3_xcmplx_0(2, C))))) ) ) ) ) ) ).
fof(t92_newton04, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) => k4_newton04(A, B, k2_xcmplx_0(C, 1))=k7_finseq_1(k9_finseq_1(k1_newton(A, k2_xcmplx_0(C, 1))), k10_rvsum_1(k4_newton04(A, B, C), B))) ) ) ) ) ) ).
fof(t93_newton04, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) => k4_newton04(A, B, k2_xcmplx_0(C, 2))=k7_finseq_1(k7_finseq_1(k9_finseq_1(k1_newton(A, k2_xcmplx_0(C, 2))), k10_rvsum_1(k4_newton04(A, B, C), k3_xcmplx_0(A, B))), k9_finseq_1(k1_newton(B, k2_xcmplx_0(C, 2))))) ) ) ) ) ) ).
fof(dt_k1_newton04, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k1_newton04(A, B))) ) ).
fof(commutativity_k1_newton04, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => k1_newton04(A, B)=k1_newton04(B, A)) ) ).
fof(idempotence_k1_newton04, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => k1_newton04(A, A)=A) ) ).
fof(redefinition_k1_newton04, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => k1_newton04(A, B)=k3_xxreal_0(A, B)) ) ).
fof(dt_k2_newton04, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k2_newton04(A, B))) ) ).
fof(commutativity_k2_newton04, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => k2_newton04(A, B)=k2_newton04(B, A)) ) ).
fof(idempotence_k2_newton04, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => k2_newton04(A, A)=A) ) ).
fof(redefinition_k2_newton04, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => k2_newton04(A, B)=k4_xxreal_0(A, B)) ) ).
fof(dt_k3_newton04, axiom,  (! [A, B, C] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) & v7_ordinal1(C)) )  => m1_fomodel0(k3_newton04(A, B, C), k1_numbers)) ) ).
fof(dt_k4_newton04, axiom,  (! [A, B, C] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) & v7_ordinal1(C)) )  => m1_fomodel0(k4_newton04(A, B, C), k1_numbers)) ) ).
fof(redefinition_k4_newton04, axiom,  (! [A, B, C] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) & v7_ordinal1(C)) )  => k4_newton04(A, B, C)=k3_newton04(A, B, C)) ) ).
fof(t1_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k2_normsp_1(A, B, C), k1_normsp_1(A, B, k5_vfunct_1(k4_ordinal1, A, C)))) ) ) ) ) ) ).
fof(t2_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k5_vfunct_1(k4_ordinal1, A, B), k4_normsp_1(A, B, k4_xcmplx_0(1)))) ) ) ) ).
fof(t4_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_nfcont_1(C, A, B) => r2_tarski(B, C)) ) ) ) ) ) ).
fof(d2_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_nfcont_1(B, A) <=>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ~ ( (r1_tarski(k2_relset_1(u1_struct_0(A), C), B) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ~ ( (m2_valued_0(D, u1_struct_0(A), C) &  (v3_normsp_1(D, A) & r2_tarski(k5_normsp_1(A, D), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_nfcont_1(B, A) <=>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (r1_tarski(k2_relset_1(u1_struct_0(A), C), B) & v3_normsp_1(C, A))  => r2_tarski(k5_normsp_1(A, C), B)) ) ) ) ) ) ) ) ).
fof(d4_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_nfcont_1(B, A) <=> v2_nfcont_1(k3_subset_1(u1_struct_0(A), B), A)) ) ) ) ) ).
fof(d5_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_nfcont_1(A, B, C, D) <=>  (r2_tarski(D, k1_relset_1(u1_struct_0(A), C)) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (r1_tarski(k2_relset_1(u1_struct_0(A), E), k1_relset_1(u1_struct_0(A), C)) &  (v3_normsp_1(E, A) & k5_normsp_1(A, E)=D) )  =>  (v3_normsp_1(k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, C), B) & k7_partfun1(u1_struct_0(B), C, D)=k5_normsp_1(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_nfcont_1(A, B, C) <=>  (r2_tarski(C, k1_relset_1(u1_struct_0(A), B)) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (r1_tarski(k2_relset_1(u1_struct_0(A), D), k1_relset_1(u1_struct_0(A), B)) &  (v3_normsp_1(D, A) & k5_normsp_1(A, D)=C) )  =>  (v2_comseq_2(k8_funct_2(k4_ordinal1, k1_numbers, u1_struct_0(A), D, B)) & k7_partfun1(k1_numbers, B, C)=k1_seq_2(k8_funct_2(k4_ordinal1, k1_numbers, u1_struct_0(A), D, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_nfcont_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (r1_tarski(k2_relset_1(u1_struct_0(B), D), k1_relset_1(u1_struct_0(B), E)) => r2_tarski(k1_normsp_0(B, D, A), k1_relset_1(u1_struct_0(B), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (r2_tarski(C, k2_relset_1(u1_struct_0(A), B)) <=>  (? [D] :  (v7_ordinal1(D) & C=k1_normsp_0(A, B, D)) ) ) ) ) ) ) ) ).
fof(t7_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_nfcont_1(A, B, C, D) <=>  (r2_tarski(D, k1_relset_1(u1_struct_0(A), C)) &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(F, k5_numbers))  &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( (r2_tarski(G, k1_relset_1(u1_struct_0(A), C)) &  ( ~ (r1_xxreal_0(F, k2_normsp_0(A, k5_algstr_0(A, G, D))))  & r1_xxreal_0(E, k2_normsp_0(B, k5_algstr_0(B, k7_partfun1(u1_struct_0(B), C, G), k7_partfun1(u1_struct_0(B), C, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))))  =>  (r2_nfcont_1(A, C, B) <=>  (r2_tarski(B, k1_relset_1(u1_struct_0(A), C)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r2_tarski(F, k1_relset_1(u1_struct_0(A), C)) &  ( ~ (r1_xxreal_0(E, k2_normsp_0(A, k5_algstr_0(A, F, B))))  & r1_xxreal_0(D, k9_complex1(k5_real_1(k7_partfun1(k1_numbers, C, F), k7_partfun1(k1_numbers, C, B))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_nfcont_1(A, B, C, D) <=>  (r2_tarski(D, k1_relset_1(u1_struct_0(A), C)) &  (! [E] :  (m1_nfcont_1(E, B, k7_partfun1(u1_struct_0(B), C, D)) =>  (? [F] :  (m1_nfcont_1(F, A, D) &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_tarski(G, k1_relset_1(u1_struct_0(A), C)) & r2_tarski(G, F))  => r2_tarski(k7_partfun1(u1_struct_0(B), C, G), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_nfcont_1(A, B, C, D) <=>  (r2_tarski(D, k1_relset_1(u1_struct_0(A), C)) &  (! [E] :  (m1_nfcont_1(E, B, k7_partfun1(u1_struct_0(B), C, D)) =>  (? [F] :  (m1_nfcont_1(F, A, D) & r1_tarski(k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, F), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, k1_relset_1(u1_struct_0(A), C)) =>  ( (! [E] :  (m1_nfcont_1(E, A, D) =>  ~ (k9_subset_1(u1_struct_0(A), k1_relset_1(u1_struct_0(A), C), E)=k1_tarski(D)) ) )  | r1_nfcont_1(A, B, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t12_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (r1_tarski(k2_relset_1(u1_struct_0(A), E), k9_subset_1(u1_struct_0(A), k1_relset_1(u1_struct_0(A), C), k1_relset_1(u1_struct_0(A), D))) =>  (r2_funct_2(k4_ordinal1, u1_struct_0(B), k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, k6_vfunct_1(u1_struct_0(A), B, C, D)), k1_normsp_1(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, C), k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, D))) & r2_funct_2(k4_ordinal1, u1_struct_0(B), k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, k2_vfunct_1(u1_struct_0(A), B, C, D)), k2_normsp_1(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, C), k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [E] :  (v1_xreal_0(E) =>  (r1_tarski(k2_relset_1(u1_struct_0(A), D), k1_relset_1(u1_struct_0(A), C)) => r2_funct_2(k4_ordinal1, u1_struct_0(B), k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), D, k4_vfunct_1(u1_struct_0(A), B, C, E)), k4_normsp_1(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), D, C), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (r1_tarski(k2_relset_1(u1_struct_0(A), D), k1_relset_1(u1_struct_0(A), C)) =>  (r2_funct_2(k4_ordinal1, k1_numbers, k5_normsp_0(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), D, C)), k8_funct_2(k4_ordinal1, k1_numbers, u1_struct_0(A), D, k4_normsp_0(u1_struct_0(A), B, C))) & r2_funct_2(k4_ordinal1, u1_struct_0(B), k5_vfunct_1(k4_ordinal1, B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), D, C)), k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), D, k5_vfunct_1(u1_struct_0(A), B, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t15_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_nfcont_1(A, B, C, E) & r1_nfcont_1(A, B, D, E))  =>  (r1_nfcont_1(A, B, k6_vfunct_1(u1_struct_0(A), B, C, D), E) & r1_nfcont_1(A, B, k2_vfunct_1(u1_struct_0(A), B, C, D), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_nfcont_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (r1_nfcont_1(B, C, D, E) => r1_nfcont_1(B, C, k4_vfunct_1(u1_struct_0(B), C, D, A), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_nfcont_1(A, B, C, D) =>  (r2_nfcont_1(A, k4_normsp_0(u1_struct_0(A), B, C), D) & r1_nfcont_1(A, B, k5_vfunct_1(u1_struct_0(A), B, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(d7_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (r3_nfcont_1(A, B, C, D) <=>  (r1_tarski(D, k1_relset_1(u1_struct_0(A), C)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(E, D) => r1_nfcont_1(A, B, k2_partfun1(u1_struct_0(A), u1_struct_0(B), C, D), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))))  =>  (! [C] :  (r4_nfcont_1(A, B, C) <=>  (r1_tarski(C, k1_relset_1(u1_struct_0(A), B)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, C) => r2_nfcont_1(A, k2_partfun1(u1_struct_0(A), k1_numbers, B, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(t18_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (r3_nfcont_1(A, B, D, C) <=>  (r1_tarski(C, k1_relset_1(u1_struct_0(A), D)) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (r1_tarski(k2_relset_1(u1_struct_0(A), E), C) &  (v3_normsp_1(E, A) & r2_tarski(k5_normsp_1(A, E), C)) )  =>  (v3_normsp_1(k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, D), B) & k7_partfun1(u1_struct_0(B), D, k5_normsp_1(A, E))=k5_normsp_1(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), u1_struct_0(A), E, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_nfcont_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (r3_nfcont_1(B, C, D, A) <=>  (r1_tarski(A, k1_relset_1(u1_struct_0(B), D)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( (r2_tarski(E, A) &  ( ~ (r1_xxreal_0(F, k5_numbers))  &  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(G, k5_numbers))  &  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  ~ ( (r2_tarski(H, A) &  ( ~ (r1_xxreal_0(G, k2_normsp_0(B, k5_algstr_0(B, H, E))))  & r1_xxreal_0(F, k2_normsp_0(C, k5_algstr_0(C, k7_partfun1(u1_struct_0(C), D, H), k7_partfun1(u1_struct_0(C), D, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_nfcont_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_numbers))))  =>  (r4_nfcont_1(B, C, A) <=>  (r1_tarski(A, k1_relset_1(u1_struct_0(B), C)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_tarski(D, A) &  ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(F, k5_numbers))  &  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  ~ ( (r2_tarski(G, A) &  ( ~ (r1_xxreal_0(F, k2_normsp_0(B, k5_algstr_0(B, G, D))))  & r1_xxreal_0(E, k9_complex1(k5_real_1(k7_partfun1(k1_numbers, C, G), k7_partfun1(k1_numbers, C, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_nfcont_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (r3_nfcont_1(B, C, D, A) <=> r3_nfcont_1(B, C, k2_partfun1(u1_struct_0(B), u1_struct_0(C), D, A), A)) ) ) ) ) ) ) ) ).
fof(t22_nfcont_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_numbers))))  =>  (r4_nfcont_1(B, C, A) <=> r4_nfcont_1(B, k2_partfun1(u1_struct_0(B), k1_numbers, C, A), A)) ) ) ) ) ) ).
fof(t23_nfcont_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v5_rlvect_1(D) &  (v6_rlvect_1(D) &  (v7_rlvect_1(D) &  (v8_rlvect_1(D) &  (v3_normsp_0(D) &  (v4_normsp_0(D) &  (v2_normsp_1(D) & l1_normsp_1(D)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D)))))  =>  ( (r3_nfcont_1(C, D, E, A) & r1_tarski(B, A))  => r3_nfcont_1(C, D, E, B)) ) ) ) ) ) ) ) ) ).
fof(t24_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, k1_relset_1(u1_struct_0(A), C)) => r3_nfcont_1(A, B, C, k1_tarski(D))) ) ) ) ) ) ) ) ) ).
fof(t25_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (r3_nfcont_1(A, B, D, C) & r3_nfcont_1(A, B, E, C))  =>  (r3_nfcont_1(A, B, k6_vfunct_1(u1_struct_0(A), B, D, E), C) & r3_nfcont_1(A, B, k2_vfunct_1(u1_struct_0(A), B, D, E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (r3_nfcont_1(A, B, E, C) & r3_nfcont_1(A, B, F, D))  =>  (r3_nfcont_1(A, B, k6_vfunct_1(u1_struct_0(A), B, E, F), k3_xboole_0(C, D)) & r3_nfcont_1(A, B, k2_vfunct_1(u1_struct_0(A), B, E, F), k3_xboole_0(C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (r3_nfcont_1(A, B, E, D) => r3_nfcont_1(A, B, k4_vfunct_1(u1_struct_0(A), B, E, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(t28_nfcont_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (r3_nfcont_1(B, C, D, A) =>  (r4_nfcont_1(B, k4_normsp_0(u1_struct_0(B), C, D), A) & r3_nfcont_1(B, C, k5_vfunct_1(u1_struct_0(B), C, D), A)) ) ) ) ) ) ) ) ) ).
fof(t29_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (v1_partfun1(C, u1_struct_0(A)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k7_partfun1(u1_struct_0(B), C, k3_rlvect_1(A, D, E))=k3_rlvect_1(B, k7_partfun1(u1_struct_0(B), C, D), k7_partfun1(u1_struct_0(B), C, E))) ) ) ) )  =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ (r1_nfcont_1(A, B, C, D)) ) )  | r3_nfcont_1(A, B, C, u1_struct_0(A))) ) ) ) ) ) ) ) ).
fof(t30_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (v1_nfcont_1(k1_relset_1(u1_struct_0(A), C), A) & r3_nfcont_1(A, B, C, k1_relset_1(u1_struct_0(A), C)))  => v1_nfcont_1(k2_relset_1(u1_struct_0(B), C), B)) ) ) ) ) ) ) ).
fof(t31_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))))  =>  ( (v1_nfcont_1(k1_relset_1(u1_struct_0(A), B), A) & r4_nfcont_1(A, B, k1_relset_1(u1_struct_0(A), B)))  => v1_rcomp_1(k2_relset_1(k1_numbers, B))) ) ) ) ) ).
fof(t32_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r1_tarski(D, k1_relset_1(u1_struct_0(A), C)) &  (v1_nfcont_1(D, A) & r3_nfcont_1(A, B, C, D)) )  => v1_nfcont_1(k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t33_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))))  =>  ~ ( ( ~ (k1_relset_1(u1_struct_0(A), B)=k1_xboole_0)  &  (v1_nfcont_1(k1_relset_1(u1_struct_0(A), B), A) &  (r4_nfcont_1(A, B, k1_relset_1(u1_struct_0(A), B)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(C, k1_relset_1(u1_struct_0(A), B)) &  (r2_tarski(D, k1_relset_1(u1_struct_0(A), B)) &  (k7_partfun1(k1_numbers, B, C)=k2_seq_4(k2_relset_1(k1_numbers, B)) & k7_partfun1(k1_numbers, B, D)=k3_seq_4(k2_relset_1(k1_numbers, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ~ ( ( ~ (k1_relset_1(u1_struct_0(A), C)=k1_xboole_0)  &  (v1_nfcont_1(k1_relset_1(u1_struct_0(A), C), A) &  (r3_nfcont_1(A, B, C, k1_relset_1(u1_struct_0(A), C)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_tarski(D, k1_relset_1(u1_struct_0(A), C)) &  (r2_tarski(E, k1_relset_1(u1_struct_0(A), C)) &  (k7_partfun1(k1_numbers, k4_normsp_0(u1_struct_0(A), B, C), D)=k2_seq_4(k2_relset_1(k1_numbers, k4_normsp_0(u1_struct_0(A), B, C))) & k7_partfun1(k1_numbers, k4_normsp_0(u1_struct_0(A), B, C), E)=k3_seq_4(k2_relset_1(k1_numbers, k4_normsp_0(u1_struct_0(A), B, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_nfcont_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  => r2_relset_1(u1_struct_0(B), k1_numbers, k2_partfun1(u1_struct_0(B), k1_numbers, k4_normsp_0(u1_struct_0(B), C, D), A), k4_normsp_0(u1_struct_0(B), C, k2_partfun1(u1_struct_0(B), u1_struct_0(C), D, A)))) ) ) ) ) ) ) ).
fof(t36_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( ~ (D=k1_xboole_0)  &  (r1_tarski(D, k1_relset_1(u1_struct_0(A), C)) &  (v1_nfcont_1(D, A) &  (r3_nfcont_1(A, B, C, D) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r2_tarski(E, D) &  (r2_tarski(F, D) &  (k7_partfun1(k1_numbers, k4_normsp_0(u1_struct_0(A), B, C), E)=k2_seq_4(k7_relset_1(u1_struct_0(A), k1_numbers, k4_normsp_0(u1_struct_0(A), B, C), D)) & k7_partfun1(k1_numbers, k4_normsp_0(u1_struct_0(A), B, C), F)=k3_seq_4(k7_relset_1(u1_struct_0(A), k1_numbers, k4_normsp_0(u1_struct_0(A), B, C), D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( ~ (C=k1_xboole_0)  &  (r1_tarski(C, k1_relset_1(u1_struct_0(A), B)) &  (v1_nfcont_1(C, A) &  (r4_nfcont_1(A, B, C) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_tarski(D, C) &  (r2_tarski(E, C) &  (k7_partfun1(k1_numbers, B, D)=k2_seq_4(k7_relset_1(u1_struct_0(A), k1_numbers, B, C)) & k7_partfun1(k1_numbers, B, E)=k3_seq_4(k7_relset_1(u1_struct_0(A), k1_numbers, B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (r5_nfcont_1(A, B, C, D) <=>  (r1_tarski(C, k1_relset_1(u1_struct_0(A), D)) &  (? [E] :  (v1_xreal_0(E) &  ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_tarski(F, C) & r2_tarski(G, C))  => r1_xxreal_0(k2_normsp_0(B, k5_algstr_0(B, k7_partfun1(u1_struct_0(B), D, F), k7_partfun1(u1_struct_0(B), D, G))), k3_xcmplx_0(E, k2_normsp_0(A, k5_algstr_0(A, F, G))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))))  =>  (r6_nfcont_1(A, B, C) <=>  (r1_tarski(B, k1_relset_1(u1_struct_0(A), C)) &  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_tarski(E, B) & r2_tarski(F, B))  => r1_xxreal_0(k9_complex1(k5_real_1(k7_partfun1(k1_numbers, C, E), k7_partfun1(k1_numbers, C, F))), k3_xcmplx_0(D, k2_normsp_0(A, k5_algstr_0(A, E, F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_nfcont_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v5_rlvect_1(D) &  (v6_rlvect_1(D) &  (v7_rlvect_1(D) &  (v8_rlvect_1(D) &  (v3_normsp_0(D) &  (v4_normsp_0(D) &  (v2_normsp_1(D) & l1_normsp_1(D)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D)))))  =>  ( (r5_nfcont_1(C, D, A, E) & r1_tarski(B, A))  => r5_nfcont_1(C, D, B, E)) ) ) ) ) ) ) ) ) ).
fof(t39_nfcont_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v5_rlvect_1(D) &  (v6_rlvect_1(D) &  (v7_rlvect_1(D) &  (v8_rlvect_1(D) &  (v3_normsp_0(D) &  (v4_normsp_0(D) &  (v2_normsp_1(D) & l1_normsp_1(D)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D)))))  =>  ( (r5_nfcont_1(C, D, A, E) & r5_nfcont_1(C, D, B, F))  => r5_nfcont_1(C, D, k3_xboole_0(A, B), k6_vfunct_1(u1_struct_0(C), D, E, F))) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_nfcont_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v5_rlvect_1(D) &  (v6_rlvect_1(D) &  (v7_rlvect_1(D) &  (v8_rlvect_1(D) &  (v3_normsp_0(D) &  (v4_normsp_0(D) &  (v2_normsp_1(D) & l1_normsp_1(D)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D)))))  =>  ( (r5_nfcont_1(C, D, A, E) & r5_nfcont_1(C, D, B, F))  => r5_nfcont_1(C, D, k3_xboole_0(A, B), k2_vfunct_1(u1_struct_0(C), D, E, F))) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_nfcont_1, axiom,  (! [A] :  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v5_rlvect_1(D) &  (v6_rlvect_1(D) &  (v7_rlvect_1(D) &  (v8_rlvect_1(D) &  (v3_normsp_0(D) &  (v4_normsp_0(D) &  (v2_normsp_1(D) & l1_normsp_1(D)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D)))))  =>  (r5_nfcont_1(C, D, A, E) => r5_nfcont_1(C, D, A, k4_vfunct_1(u1_struct_0(C), D, E, B))) ) ) ) ) ) ) ) ) ) ).
fof(t42_nfcont_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (r5_nfcont_1(B, C, A, D) =>  (r5_nfcont_1(B, C, A, k5_vfunct_1(u1_struct_0(B), C, D)) & r6_nfcont_1(B, A, k4_normsp_0(u1_struct_0(B), C, D))) ) ) ) ) ) ) ) ) ).
fof(t43_nfcont_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  ( (r1_tarski(A, k1_relset_1(u1_struct_0(B), D)) & v3_funct_1(k2_partfun1(u1_struct_0(B), u1_struct_0(C), D, A)))  => r5_nfcont_1(B, C, A, D)) ) ) ) ) ) ) ) ).
fof(t44_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => r5_nfcont_1(A, A, B, k1_partfun2(u1_struct_0(A), B))) ) ) ) ).
fof(t45_nfcont_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (r5_nfcont_1(B, C, A, D) => r3_nfcont_1(B, C, D, A)) ) ) ) ) ) ) ) ).
fof(t46_nfcont_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_numbers))))  =>  (r6_nfcont_1(B, A, C) => r4_nfcont_1(B, C, A)) ) ) ) ) ) ).
fof(t47_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  ( (? [D] :  (m1_subset_1(D, u1_struct_0(B)) & k2_relset_1(u1_struct_0(B), C)=k1_tarski(D)) )  => r3_nfcont_1(A, B, C, k1_relset_1(u1_struct_0(A), C))) ) ) ) ) ) ) ).
fof(t48_nfcont_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  ( (r1_tarski(A, k1_relset_1(u1_struct_0(B), D)) & v3_funct_1(k2_partfun1(u1_struct_0(B), u1_struct_0(C), D, A)))  => r3_nfcont_1(B, C, D, A)) ) ) ) ) ) ) ) ).
fof(t49_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))))  =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, k1_relset_1(u1_struct_0(A), B)) => k7_partfun1(u1_struct_0(A), B, C)=C) ) )  => r3_nfcont_1(A, A, B, k1_relset_1(u1_struct_0(A), B))) ) ) ) ) ).
fof(t50_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))))  =>  (r2_relset_1(u1_struct_0(A), u1_struct_0(A), B, k1_partfun2(u1_struct_0(A), k1_relset_1(u1_struct_0(A), B))) => r3_nfcont_1(A, A, B, k1_relset_1(u1_struct_0(A), B))) ) ) ) ) ).
fof(t51_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))))  =>  ( (r1_tarski(B, k1_relset_1(u1_struct_0(A), C)) & r2_relset_1(u1_struct_0(A), u1_struct_0(A), k2_partfun1(u1_struct_0(A), u1_struct_0(A), C, B), k1_partfun2(u1_struct_0(A), B)))  => r3_nfcont_1(A, A, C, B)) ) ) ) ) ) ) ).
fof(t52_nfcont_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)))))  =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  ( (r1_tarski(A, k1_relset_1(u1_struct_0(B), C)) &  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (r2_tarski(F, A) => k7_partfun1(u1_struct_0(B), C, F)=k3_rlvect_1(B, k1_rlvect_1(B, F, D), E)) ) ) )  => r3_nfcont_1(B, B, C, A)) ) ) ) ) ) ) ) ) ) ).
fof(t53_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))))  =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, k1_relset_1(u1_struct_0(A), B)) => k7_partfun1(k1_numbers, B, C)=k2_normsp_0(A, C)) ) )  => r4_nfcont_1(A, B, k1_relset_1(u1_struct_0(A), B))) ) ) ) ) ).
fof(t54_nfcont_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(u1_struct_0(B), C)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r2_tarski(D, A) => k7_partfun1(k1_numbers, C, D)=k2_normsp_0(B, D)) ) ) )  => r4_nfcont_1(B, C, A)) ) ) ) ) ) ).
fof(dt_m1_nfcont_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (! [C] :  (m1_nfcont_1(C, A, B) => m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ).
fof(existence_m1_nfcont_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (? [C] : m1_nfcont_1(C, A, B)) ) ) ).
fof(d1_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (m1_nfcont_1(C, A, B) <=>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, k5_numbers))  & r1_tarski(a_3_0_nfcont_1(A, B, D), C)) ) ) ) ) ) ) ) ) ) ).
fof(t3_nfcont_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  => m1_nfcont_1(a_3_0_nfcont_1(A, B, C), A, B)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_nfcont_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_0_nfcont_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E &  ~ (r1_xxreal_0(D, k2_normsp_0(B, k5_algstr_0(B, E, C)))) ) ) ) ) ) ) ).
fof(rc1_nfcont_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v5_relat_1(B, u1_struct_0(A)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & v1_nfcont_2(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_nfcont_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (r1_nfcont_2(A, B, C, D) <=>  (r1_tarski(A, k1_relset_1(u1_struct_0(B), D)) &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(F, k5_numbers))  &  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  ~ ( (r2_tarski(G, A) &  (r2_tarski(H, A) &  ( ~ (r1_xxreal_0(F, k2_normsp_0(B, k5_algstr_0(B, G, H))))  & r1_xxreal_0(E, k2_normsp_0(C, k5_algstr_0(C, k7_partfun1(u1_struct_0(C), D, G), k7_partfun1(u1_struct_0(C), D, H))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_nfcont_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_numbers))))  =>  (r2_nfcont_2(A, B, C) <=>  (r1_tarski(A, k1_relset_1(u1_struct_0(B), C)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  ~ ( (r2_tarski(F, A) &  (r2_tarski(G, A) &  ( ~ (r1_xxreal_0(E, k2_normsp_0(B, k5_algstr_0(B, F, G))))  & r1_xxreal_0(D, k9_complex1(k5_real_1(k7_partfun1(k1_numbers, C, F), k7_partfun1(k1_numbers, C, G))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_nfcont_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v5_rlvect_1(D) &  (v6_rlvect_1(D) &  (v7_rlvect_1(D) &  (v8_rlvect_1(D) &  (v3_normsp_0(D) &  (v4_normsp_0(D) &  (v2_normsp_1(D) & l1_normsp_1(D)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D)))))  =>  ( (r1_nfcont_2(A, C, D, E) & r1_tarski(B, A))  => r1_nfcont_2(B, C, D, E)) ) ) ) ) ) ) ) ) ).
fof(t2_nfcont_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v5_rlvect_1(D) &  (v6_rlvect_1(D) &  (v7_rlvect_1(D) &  (v8_rlvect_1(D) &  (v3_normsp_0(D) &  (v4_normsp_0(D) &  (v2_normsp_1(D) & l1_normsp_1(D)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D)))))  =>  ( (r1_nfcont_2(A, C, D, E) & r1_nfcont_2(B, C, D, F))  => r1_nfcont_2(k3_xboole_0(A, B), C, D, k6_vfunct_1(u1_struct_0(C), D, E, F))) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_nfcont_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v5_rlvect_1(D) &  (v6_rlvect_1(D) &  (v7_rlvect_1(D) &  (v8_rlvect_1(D) &  (v3_normsp_0(D) &  (v4_normsp_0(D) &  (v2_normsp_1(D) & l1_normsp_1(D)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D)))))  =>  ( (r1_nfcont_2(A, C, D, E) & r1_nfcont_2(B, C, D, F))  => r1_nfcont_2(k3_xboole_0(A, B), C, D, k2_vfunct_1(u1_struct_0(C), D, E, F))) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_nfcont_2, axiom,  (! [A] :  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v5_rlvect_1(D) &  (v6_rlvect_1(D) &  (v7_rlvect_1(D) &  (v8_rlvect_1(D) &  (v3_normsp_0(D) &  (v4_normsp_0(D) &  (v2_normsp_1(D) & l1_normsp_1(D)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D)))))  =>  (r1_nfcont_2(A, C, D, E) => r1_nfcont_2(A, C, D, k4_vfunct_1(u1_struct_0(C), D, E, B))) ) ) ) ) ) ) ) ) ) ).
fof(t5_nfcont_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (r1_nfcont_2(A, B, C, D) => r1_nfcont_2(A, B, C, k5_vfunct_1(u1_struct_0(B), C, D))) ) ) ) ) ) ) ) ).
fof(t6_nfcont_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (r1_nfcont_2(A, B, C, D) => r2_nfcont_2(A, B, k4_normsp_0(u1_struct_0(B), C, D))) ) ) ) ) ) ) ) ).
fof(t7_nfcont_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (r1_nfcont_2(A, B, C, D) => r3_nfcont_1(B, C, D, A)) ) ) ) ) ) ) ) ).
fof(t8_nfcont_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_numbers))))  =>  (r2_nfcont_2(A, B, C) => r4_nfcont_1(B, C, A)) ) ) ) ) ) ).
fof(t9_nfcont_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (r5_nfcont_1(B, C, A, D) => r1_nfcont_2(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t10_nfcont_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_nfcont_1(D, A) & r3_nfcont_1(A, B, C, D))  => r1_nfcont_2(D, A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t11_nfcont_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r1_tarski(D, k1_relset_1(u1_struct_0(A), C)) &  (v1_nfcont_1(D, A) & r1_nfcont_2(D, A, B, C)) )  => v1_nfcont_1(k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t12_nfcont_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( ~ (C=k1_xboole_0)  &  (r1_tarski(C, k1_relset_1(u1_struct_0(A), B)) &  (v1_nfcont_1(C, A) &  (r2_nfcont_2(C, A, B) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_tarski(D, C) &  (r2_tarski(E, C) &  (k7_partfun1(k1_numbers, B, D)=k2_seq_4(k7_relset_1(u1_struct_0(A), k1_numbers, B, C)) & k7_partfun1(k1_numbers, B, E)=k3_seq_4(k7_relset_1(u1_struct_0(A), k1_numbers, B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_nfcont_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  ( (r1_tarski(A, k1_relset_1(u1_struct_0(B), D)) & v3_funct_1(k2_partfun1(u1_struct_0(B), u1_struct_0(C), D, A)))  => r1_nfcont_2(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(d3_nfcont_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_normsp_1(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (v1_nfcont_2(B, A) <=>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  ( ~ (r1_xxreal_0(1, C))  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => r1_xxreal_0(k2_normsp_0(A, k5_algstr_0(A, k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, D), k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, E))), k3_xcmplx_0(C, k2_normsp_0(A, k5_algstr_0(A, D, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_nfcont_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  ~ ( ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v1_nfcont_2(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, C)=C &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, D)=D => C=D) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_nfcont_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  ~ ( ( (? [C] :  (v7_ordinal1(C) &  (v1_funct_1(k1_abian(u1_struct_0(A), B, C)) &  (v1_funct_2(k1_abian(u1_struct_0(A), B, C), u1_struct_0(A), u1_struct_0(A)) &  (v1_nfcont_2(k1_abian(u1_struct_0(A), B, C), A) & m1_subset_1(k1_abian(u1_struct_0(A), B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, C)=C &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, D)=D => C=D) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_nfcont_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(1, A))  &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(C, k9_complex1(k3_xcmplx_0(B, k2_power(A, D))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_nfcont_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))) =>  ( (v1_funct_1(B) & v3_funct_1(B))  =>  (v1_funct_1(B) & v1_nfcont_3(B, A)) ) ) ) ) ) ).
fof(rc1_nfcont_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k1_numbers) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_nfcont_3(B, A)) ) ) ) ) ) ) ) ).
fof(fc1_nfcont_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_nfcont_3(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) ) )  =>  (v1_funct_1(k5_relat_1(B, C)) & v1_nfcont_3(k5_relat_1(B, C), A)) ) ) ).
fof(cc2_nfcont_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))) =>  ( (v1_xboole_0(B) & v1_funct_1(B))  =>  (v1_funct_1(B) & v1_nfcont_3(B, A)) ) ) ) ) ) ).
fof(fc2_nfcont_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  & v1_zfmisc_1(C)) )  =>  (v1_funct_1(k5_relat_1(B, C)) & v1_nfcont_3(k5_relat_1(B, C), A)) ) ) ).
fof(fc3_nfcont_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_nfcont_3(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  &  (v1_funct_1(C) &  (v1_nfcont_3(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) ) ) )  =>  (v1_funct_1(k1_vfunct_1(k1_numbers, A, B, C)) & v1_nfcont_3(k1_vfunct_1(k1_numbers, A, B, C), A)) ) ) ).
fof(fc4_nfcont_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_nfcont_3(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  &  (v1_funct_1(C) &  (v1_nfcont_3(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) ) ) )  =>  (v1_funct_1(k2_vfunct_1(k1_numbers, A, B, C)) & v1_nfcont_3(k2_vfunct_1(k1_numbers, A, B, C), A)) ) ) ).
fof(fc5_nfcont_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_nfcont_3(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  & v1_xreal_0(C)) )  =>  (v1_funct_1(k4_vfunct_1(k1_numbers, A, B, C)) & v1_nfcont_3(k4_vfunct_1(k1_numbers, A, B, C), A)) ) ) ).
fof(cc3_nfcont_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))) =>  ( (v1_xboole_0(B) & v1_funct_1(B))  =>  (v1_funct_1(B) & v2_nfcont_3(B, A)) ) ) ) ) ) ).
fof(rc2_nfcont_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k1_numbers) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_xboole_0(B) & v1_funct_1(B)) ) ) ) ) ) ) ) ).
fof(fc6_nfcont_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v2_nfcont_3(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) ) )  =>  (v1_funct_1(k5_relat_1(B, C)) & v2_nfcont_3(k5_relat_1(B, C), A)) ) ) ).
fof(fc7_nfcont_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v2_nfcont_3(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  &  (v1_funct_1(C) &  (v2_nfcont_3(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) ) ) )  =>  (v1_funct_1(k1_vfunct_1(k1_numbers, A, B, C)) & v2_nfcont_3(k1_vfunct_1(k1_numbers, A, B, C), A)) ) ) ).
fof(fc8_nfcont_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v2_nfcont_3(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  &  (v1_funct_1(C) &  (v2_nfcont_3(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) ) ) )  =>  (v1_funct_1(k2_vfunct_1(k1_numbers, A, B, C)) & v2_nfcont_3(k2_vfunct_1(k1_numbers, A, B, C), A)) ) ) ).
fof(fc9_nfcont_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v2_nfcont_3(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  & v1_xreal_0(C)) )  =>  (v1_funct_1(k4_vfunct_1(k1_numbers, A, B, C)) & v2_nfcont_3(k4_vfunct_1(k1_numbers, A, B, C), A)) ) ) ).
fof(fc10_nfcont_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v2_nfcont_3(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) ) )  =>  (v1_funct_1(k3_normsp_0(A, B)) & v2_fcont_1(k3_normsp_0(A, B))) ) ) ).
fof(cc4_nfcont_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))) =>  ( (v1_funct_1(B) & v3_funct_1(B))  =>  (v1_funct_1(B) & v2_nfcont_3(B, A)) ) ) ) ) ) ).
fof(cc5_nfcont_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))) =>  ( (v1_funct_1(B) & v2_nfcont_3(B, A))  =>  (v1_funct_1(B) & v1_nfcont_3(B, A)) ) ) ) ) ) ).
fof(t1_nfcont_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B)))))  =>  (r1_tarski(k2_relset_1(k1_numbers, C), k1_relset_1(k1_numbers, D)) => r2_tarski(k8_nat_1(k1_numbers, C, A), k1_relset_1(k1_numbers, D))) ) ) ) ) ) ) ) ) ).
fof(t2_nfcont_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (r1_tarski(k2_relset_1(k1_numbers, D), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, B), k1_relset_1(k1_numbers, C))) =>  (r2_funct_2(k4_ordinal1, u1_struct_0(A), k8_funct_2(k4_ordinal1, u1_struct_0(A), k1_numbers, D, k6_vfunct_1(k1_numbers, A, B, C)), k1_normsp_1(A, k8_funct_2(k4_ordinal1, u1_struct_0(A), k1_numbers, D, B), k8_funct_2(k4_ordinal1, u1_struct_0(A), k1_numbers, D, C))) & r2_funct_2(k4_ordinal1, u1_struct_0(A), k8_funct_2(k4_ordinal1, u1_struct_0(A), k1_numbers, D, k2_vfunct_1(k1_numbers, A, B, C)), k2_normsp_1(A, k8_funct_2(k4_ordinal1, u1_struct_0(A), k1_numbers, D, B), k8_funct_2(k4_ordinal1, u1_struct_0(A), k1_numbers, D, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t3_nfcont_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v1_xreal_0(C) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k4_vfunct_1(k4_ordinal1, A, B, C), k4_normsp_1(A, B, C))) ) ) ) ) ) ).
fof(t4_nfcont_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [D] :  (v1_xreal_0(D) =>  (r1_tarski(k2_relset_1(k1_numbers, C), k1_relset_1(k1_numbers, B)) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k8_funct_2(k4_ordinal1, u1_struct_0(A), k1_numbers, C, k4_vfunct_1(k1_numbers, A, B, D)), k4_normsp_1(A, k8_funct_2(k4_ordinal1, u1_struct_0(A), k1_numbers, C, B), D))) ) ) ) ) ) ) ) ) ).
fof(t5_nfcont_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (r1_tarski(k2_relset_1(k1_numbers, C), k1_relset_1(k1_numbers, B)) =>  (r2_funct_2(k4_ordinal1, k1_numbers, k5_normsp_0(A, k8_funct_2(k4_ordinal1, u1_struct_0(A), k1_numbers, C, B)), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, C, k4_normsp_0(k1_numbers, A, B))) & r2_funct_2(k4_ordinal1, u1_struct_0(A), k5_vfunct_1(k4_ordinal1, A, k8_funct_2(k4_ordinal1, u1_struct_0(A), k1_numbers, C, B)), k8_funct_2(k4_ordinal1, u1_struct_0(A), k1_numbers, C, k5_vfunct_1(k1_numbers, A, B)))) ) ) ) ) ) ) ) ).
fof(d1_nfcont_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [C] :  (v1_xreal_0(C) =>  (r1_nfcont_3(A, B, C) <=>  (r2_hidden(C, k1_relset_1(k1_numbers, B)) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (r1_tarski(k2_relset_1(k1_numbers, D), k1_relset_1(k1_numbers, B)) &  (v2_comseq_2(D) & k1_seq_2(D)=C) )  =>  (v3_normsp_1(k8_funct_2(k4_ordinal1, u1_struct_0(A), k1_numbers, D, B), A) & k7_partfun1(u1_struct_0(A), B, C)=k5_normsp_1(A, k8_funct_2(k4_ordinal1, u1_struct_0(A), k1_numbers, D, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_nfcont_3, axiom,  (! [A] :  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(C)))))  =>  ( (r2_hidden(B, A) & r1_nfcont_3(C, D, B))  => r1_nfcont_3(C, k2_partfun1(k1_numbers, u1_struct_0(C), D, A), B)) ) ) ) ) ) ) ) ).
fof(t7_nfcont_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B)))))  =>  (r1_nfcont_3(B, C, A) <=>  (r2_hidden(A, k1_relset_1(k1_numbers, C)) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (r1_tarski(k2_relset_1(k1_numbers, D), k1_relset_1(k1_numbers, C)) &  (v2_comseq_2(D) &  (k1_seq_2(D)=A &  (! [E] :  (v7_ordinal1(E) =>  ~ (k8_nat_1(k1_numbers, D, E)=A) ) ) ) ) )  =>  (v3_normsp_1(k8_funct_2(k4_ordinal1, u1_struct_0(B), k1_numbers, D, C), B) & k7_partfun1(u1_struct_0(B), C, A)=k5_normsp_1(B, k8_funct_2(k4_ordinal1, u1_struct_0(B), k1_numbers, D, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_nfcont_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B)))))  =>  (r1_nfcont_3(B, C, A) <=>  (r2_hidden(A, k1_relset_1(k1_numbers, C)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (v1_xreal_0(F) =>  ~ ( (r2_hidden(F, k1_relset_1(k1_numbers, C)) &  ( ~ (r1_xxreal_0(E, k9_complex1(k6_xcmplx_0(F, A))))  & r1_xxreal_0(D, k2_normsp_0(B, k5_algstr_0(B, k7_partfun1(u1_struct_0(B), C, F), k7_partfun1(u1_struct_0(B), C, A))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_nfcont_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [C] :  (v1_xreal_0(C) =>  (r1_nfcont_3(A, B, C) <=>  (r2_hidden(C, k1_relset_1(k1_numbers, B)) &  (! [D] :  (m1_nfcont_1(D, A, k7_partfun1(u1_struct_0(A), B, C)) =>  (? [E] :  (m1_rcomp_1(E, C) &  (! [F] :  (v1_xreal_0(F) =>  ( (r2_hidden(F, k1_relset_1(k1_numbers, B)) & r2_hidden(F, E))  => r2_tarski(k7_partfun1(u1_struct_0(A), B, F), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_nfcont_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [C] :  (v1_xreal_0(C) =>  (r1_nfcont_3(A, B, C) <=>  (r2_hidden(C, k1_relset_1(k1_numbers, B)) &  (! [D] :  (m1_nfcont_1(D, A, k7_partfun1(u1_struct_0(A), B, C)) =>  (? [E] :  (m1_rcomp_1(E, C) & r1_tarski(k7_relset_1(k1_numbers, u1_struct_0(A), B, E), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_nfcont_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B)))))  =>  ( (? [D] :  (m1_rcomp_1(D, A) & k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, C), D)=k1_tarski(A)) )  => r1_nfcont_3(B, C, A)) ) ) ) ) ) ) ).
fof(t12_nfcont_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B)))))  =>  ( (r2_hidden(A, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, C), k1_relset_1(k1_numbers, D))) &  (r1_nfcont_3(B, C, A) & r1_nfcont_3(B, D, A)) )  =>  (r1_nfcont_3(B, k6_vfunct_1(k1_numbers, B, C, D), A) & r1_nfcont_3(B, k2_vfunct_1(k1_numbers, B, C, D), A)) ) ) ) ) ) ) ) ) ) ).
fof(t13_nfcont_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(C)))))  =>  (r1_nfcont_3(C, D, B) => r1_nfcont_3(C, k4_vfunct_1(k1_numbers, C, D, A), B)) ) ) ) ) ) ) ) ) ).
fof(t14_nfcont_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B)))))  =>  ( (r2_hidden(A, k1_relset_1(k1_numbers, C)) & r1_nfcont_3(B, C, A))  =>  (r1_fcont_1(k4_normsp_0(k1_numbers, B, C), A) & r1_nfcont_3(B, k5_vfunct_1(k1_numbers, B, C), A)) ) ) ) ) ) ) ) ).
fof(t15_nfcont_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B)))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  ( (r2_hidden(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E))) &  (r1_nfcont_3(B, D, A) & r1_nfcont_1(B, C, E, k7_partfun1(u1_struct_0(B), D, A))) )  => r1_nfcont_3(C, k1_partfun1(k1_numbers, u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_nfcont_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (v1_nfcont_3(B, A) <=>  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, k1_relset_1(k1_numbers, B)) => r1_nfcont_3(A, B, C)) ) ) ) ) ) ) ) ).
fof(t16_nfcont_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (r1_tarski(B, k1_relset_1(k1_numbers, C)) =>  (v1_nfcont_3(k2_partfun1(k1_numbers, u1_struct_0(A), C, B), A) <=>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (r1_tarski(k2_relset_1(k1_numbers, D), B) &  (v2_comseq_2(D) & r2_hidden(k1_seq_2(D), B)) )  =>  (v3_normsp_1(k8_funct_2(k4_ordinal1, u1_struct_0(A), k1_numbers, D, C), A) & k7_partfun1(u1_struct_0(A), C, k1_seq_2(D))=k5_normsp_1(A, k8_funct_2(k4_ordinal1, u1_struct_0(A), k1_numbers, D, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_nfcont_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B)))))  =>  (r1_tarski(A, k1_relset_1(k1_numbers, C)) =>  (v1_nfcont_3(k2_partfun1(k1_numbers, u1_struct_0(B), C, A), B) <=>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(D, A) &  ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(F, k5_numbers))  &  (! [G] :  (v1_xreal_0(G) =>  ~ ( (r2_hidden(G, A) &  ( ~ (r1_xxreal_0(F, k9_complex1(k6_xcmplx_0(G, D))))  & r1_xxreal_0(E, k2_normsp_0(B, k5_algstr_0(B, k7_partfun1(u1_struct_0(B), C, G), k7_partfun1(u1_struct_0(B), C, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_nfcont_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(C)))))  =>  ( (v1_nfcont_3(k2_partfun1(k1_numbers, u1_struct_0(C), D, A), C) & r1_tarski(B, A))  => v1_nfcont_3(k2_partfun1(k1_numbers, u1_struct_0(C), D, B), C)) ) ) ) ) ) ) ).
fof(t19_nfcont_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  ( (r1_tarski(B, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, C), k1_relset_1(k1_numbers, D))) &  (v1_nfcont_3(k2_partfun1(k1_numbers, u1_struct_0(A), C, B), A) & v1_nfcont_3(k2_partfun1(k1_numbers, u1_struct_0(A), D, B), A)) )  =>  (v1_nfcont_3(k2_partfun1(k1_numbers, u1_struct_0(A), k6_vfunct_1(k1_numbers, A, C, D), B), A) & v1_nfcont_3(k2_partfun1(k1_numbers, u1_struct_0(A), k2_vfunct_1(k1_numbers, A, C, D), B), A)) ) ) ) ) ) ) ) ) ).
fof(t20_nfcont_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, D)) &  (r1_tarski(C, k1_relset_1(k1_numbers, E)) &  (v1_nfcont_3(k2_partfun1(k1_numbers, u1_struct_0(A), D, B), A) & v1_nfcont_3(k2_partfun1(k1_numbers, u1_struct_0(A), E, C), A)) ) )  =>  (v1_nfcont_3(k2_partfun1(k1_numbers, u1_struct_0(A), k6_vfunct_1(k1_numbers, A, D, E), k3_xboole_0(B, C)), A) & v1_nfcont_3(k2_partfun1(k1_numbers, u1_struct_0(A), k2_vfunct_1(k1_numbers, A, D, E), k3_xboole_0(B, C)), A)) ) ) ) ) ) ) ) ) ) ).
fof(t21_nfcont_3, axiom,  (! [A] :  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(C)))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, D)) & v1_nfcont_3(k2_partfun1(k1_numbers, u1_struct_0(C), D, A), C))  => v1_nfcont_3(k2_partfun1(k1_numbers, u1_struct_0(C), k4_vfunct_1(k1_numbers, C, D, B), A), C)) ) ) ) ) ) ) ) ).
fof(t22_nfcont_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B)))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, C)) & v1_nfcont_3(k2_partfun1(k1_numbers, u1_struct_0(B), C, A), B))  =>  (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k4_normsp_0(k1_numbers, B, C), A)) & v1_nfcont_3(k2_partfun1(k1_numbers, u1_struct_0(B), k5_vfunct_1(k1_numbers, B, C), A), B)) ) ) ) ) ) ) ).
fof(t23_nfcont_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  ( (v1_partfun1(B, k1_numbers) &  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => k7_partfun1(u1_struct_0(A), B, k2_xcmplx_0(C, D))=k3_rlvect_1(A, k7_partfun1(u1_struct_0(A), B, C), k7_partfun1(u1_struct_0(A), B, D))) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ (r1_nfcont_3(A, B, C)) ) )  | v1_nfcont_3(k2_partfun1(k1_numbers, u1_struct_0(A), B, k1_numbers), A)) ) ) ) ) ) ).
fof(t24_nfcont_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  ( (v1_rcomp_1(k1_relset_1(k1_numbers, B)) & v1_nfcont_3(k2_partfun1(k1_numbers, u1_struct_0(A), B, k1_relset_1(k1_numbers, B)), A))  => v1_nfcont_1(k2_relset_1(u1_struct_0(A), B), A)) ) ) ) ) ).
fof(t25_nfcont_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_numbers)) =>  ( (r1_tarski(C, k1_relset_1(k1_numbers, B)) &  (v1_rcomp_1(C) & v1_nfcont_3(k2_partfun1(k1_numbers, u1_struct_0(A), B, C), A)) )  => v1_nfcont_1(k7_relset_1(k1_numbers, u1_struct_0(A), B, C), A)) ) ) ) ) ) ) ).
fof(d3_nfcont_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (v2_nfcont_3(B, A) <=>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ( (r2_hidden(D, k1_relset_1(k1_numbers, B)) & r2_hidden(E, k1_relset_1(k1_numbers, B)))  => r1_xxreal_0(k2_normsp_0(A, k5_algstr_0(A, k7_partfun1(u1_struct_0(A), B, D), k7_partfun1(u1_struct_0(A), B, E))), k3_xcmplx_0(C, k9_complex1(k6_xcmplx_0(D, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_nfcont_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B)))))  =>  (v2_nfcont_3(k2_partfun1(k1_numbers, u1_struct_0(B), C, A), B) <=>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (r2_hidden(E, k1_relset_1(A, k2_partfun1(k1_numbers, u1_struct_0(B), C, A))) & r2_hidden(F, k1_relset_1(A, k2_partfun1(k1_numbers, u1_struct_0(B), C, A))))  => r1_xxreal_0(k2_normsp_0(B, k5_algstr_0(B, k7_partfun1(u1_struct_0(B), C, E), k7_partfun1(u1_struct_0(B), C, F))), k3_xcmplx_0(D, k9_complex1(k6_xcmplx_0(E, F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_nfcont_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(C)))))  =>  ( (v2_nfcont_3(k2_partfun1(k1_numbers, u1_struct_0(C), D, A), C) & r1_tarski(B, A))  => v2_nfcont_3(k2_partfun1(k1_numbers, u1_struct_0(C), D, B), C)) ) ) ) ) ) ) ).
fof(t28_nfcont_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(C)))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(C)))))  =>  ( (v2_nfcont_3(k2_partfun1(k1_numbers, u1_struct_0(C), D, A), C) & v2_nfcont_3(k2_partfun1(k1_numbers, u1_struct_0(C), E, B), C))  => v2_nfcont_3(k2_partfun1(k1_numbers, u1_struct_0(C), k6_vfunct_1(k1_numbers, C, D, E), k3_xboole_0(A, B)), C)) ) ) ) ) ) ) ) ) ).
fof(t29_nfcont_3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(C)))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(C)))))  =>  ( (v2_nfcont_3(k2_partfun1(k1_numbers, u1_struct_0(C), D, A), C) & v2_nfcont_3(k2_partfun1(k1_numbers, u1_struct_0(C), E, B), C))  => v2_nfcont_3(k2_partfun1(k1_numbers, u1_struct_0(C), k2_vfunct_1(k1_numbers, C, D, E), k3_xboole_0(A, B)), C)) ) ) ) ) ) ) ) ) ).
fof(t30_nfcont_3, axiom,  (! [A] :  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(C)))))  =>  ( (v2_nfcont_3(k2_partfun1(k1_numbers, u1_struct_0(C), D, A), C) & r1_tarski(A, k1_relset_1(k1_numbers, D)))  => v2_nfcont_3(k2_partfun1(k1_numbers, u1_struct_0(C), k4_vfunct_1(k1_numbers, C, D, B), A), C)) ) ) ) ) ) ) ) ).
fof(t31_nfcont_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B)))))  =>  (v2_nfcont_3(k2_partfun1(k1_numbers, u1_struct_0(B), C, A), B) =>  (v2_nfcont_3(k5_vfunct_1(k1_numbers, B, k2_partfun1(k1_numbers, u1_struct_0(B), C, A)), B) &  (v2_nfcont_3(k2_partfun1(k1_numbers, u1_struct_0(B), k5_vfunct_1(k1_numbers, B, C), A), B) & v2_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k4_normsp_0(k1_numbers, B, C), A))) ) ) ) ) ) ) ) ).
fof(t32_nfcont_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  ( (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & k2_relset_1(u1_struct_0(A), B)=k1_tarski(C)) )  => v1_nfcont_3(B, A)) ) ) ) ) ).
fof(t33_nfcont_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B)))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, A) => k7_partfun1(u1_struct_0(B), C, F)=k3_rlvect_1(B, k1_rlvect_1(B, D, F), E)) ) )  => v1_nfcont_3(k2_partfun1(k1_numbers, u1_struct_0(B), C, A), B)) ) ) ) ) ) ) ) ) ) ).
fof(cc1_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))) =>  ( (v1_funct_1(B) & v3_funct_1(B))  =>  (v1_funct_1(B) & v1_nfcont_4(B, A)) ) ) ) ) ) ).
fof(rc1_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k1_numbers) &  (v5_relat_1(B, k1_euclid(A)) &  (v1_funct_1(B) &  (v1_funcop_1(B) &  (v7_valued_2(B) &  (v8_valued_2(B) &  (v9_valued_2(B) & v1_nfcont_4(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_nfcont_4, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k4_ordinal1) &  (v1_funct_1(B) &  (v1_nfcont_4(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A))))) ) )  =>  (v1_funct_1(k5_relat_1(B, C)) & v1_nfcont_4(k5_relat_1(B, C), A)) ) ) ).
fof(cc2_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))) =>  ( (v1_xboole_0(B) & v1_funct_1(B))  =>  (v1_funct_1(B) & v1_nfcont_4(B, A)) ) ) ) ) ) ).
fof(fc2_nfcont_4, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k4_ordinal1) &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  & v1_zfmisc_1(C)) )  =>  (v1_funct_1(k5_relat_1(B, C)) & v1_nfcont_4(k5_relat_1(B, C), A)) ) ) ).
fof(fc3_nfcont_4, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k4_ordinal1) &  ( (v1_funct_1(B) &  (v1_nfcont_4(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A))))) )  &  (v1_funct_1(C) &  (v1_nfcont_4(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A))))) ) ) )  =>  (v1_funct_1(k7_integr15(A, k1_numbers, B, C)) & v1_nfcont_4(k7_integr15(A, k1_numbers, B, C), A)) ) ) ).
fof(fc4_nfcont_4, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k4_ordinal1) &  ( (v1_funct_1(B) &  (v1_nfcont_4(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A))))) )  & v1_xreal_0(C)) )  =>  (v1_funct_1(k9_integr15(A, C, k1_numbers, B)) & v1_nfcont_4(k9_integr15(A, C, k1_numbers, B), A)) ) ) ).
fof(cc3_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))) =>  ( (v1_xboole_0(B) & v1_funct_1(B))  =>  (v1_funct_1(B) & v2_nfcont_4(B, A)) ) ) ) ) ) ).
fof(rc2_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k1_numbers) &  (v5_relat_1(B, k1_euclid(A)) &  (v1_xboole_0(B) &  (v1_funct_1(B) &  (v1_funcop_1(B) &  (v7_valued_2(B) &  (v8_valued_2(B) & v9_valued_2(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc5_nfcont_4, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k4_ordinal1) &  (v1_funct_1(B) &  (v2_nfcont_4(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A))))) ) )  =>  (v1_funct_1(k5_relat_1(B, C)) & v2_nfcont_4(k5_relat_1(B, C), A)) ) ) ).
fof(fc6_nfcont_4, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k4_ordinal1) &  ( (v1_funct_1(B) &  (v2_nfcont_4(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A))))) )  &  (v1_funct_1(C) &  (v2_nfcont_4(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A))))) ) ) )  =>  (v1_funct_1(k7_integr15(A, k1_numbers, B, C)) & v2_nfcont_4(k7_integr15(A, k1_numbers, B, C), A)) ) ) ).
fof(fc7_nfcont_4, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k4_ordinal1) &  ( (v1_funct_1(B) &  (v2_nfcont_4(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A))))) )  &  (v1_funct_1(C) &  (v2_nfcont_4(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A))))) ) ) )  =>  (v1_funct_1(k8_integr15(A, k1_numbers, B, C)) & v2_nfcont_4(k8_integr15(A, k1_numbers, B, C), A)) ) ) ).
fof(fc8_nfcont_4, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k4_ordinal1) &  ( (v1_funct_1(B) &  (v2_nfcont_4(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A))))) )  & v1_xreal_0(C)) )  =>  (v1_funct_1(k9_integr15(A, C, k1_numbers, B)) & v2_nfcont_4(k9_integr15(A, C, k1_numbers, B), A)) ) ) ).
fof(fc9_nfcont_4, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) &  (v1_funct_1(B) &  (v2_nfcont_4(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A))))) ) )  =>  (v1_funct_1(k1_nfcont_4(A, k1_numbers, B)) & v2_fcont_1(k1_nfcont_4(A, k1_numbers, B))) ) ) ).
fof(cc4_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))) =>  ( (v1_funct_1(B) & v3_funct_1(B))  =>  (v1_funct_1(B) & v2_nfcont_4(B, A)) ) ) ) ) ) ).
fof(cc5_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))) =>  ( (v1_funct_1(B) & v2_nfcont_4(B, A))  =>  (v1_funct_1(B) & v1_nfcont_4(B, A)) ) ) ) ) ) ).
fof(d1_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [C] :  (v1_xreal_0(C) =>  (r1_nfcont_4(A, B, C) <=>  (? [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  &  (B=D & r1_nfcont_3(k4_real_ns1(A), D, C)) ) ) ) ) ) ) ) ) ) ).
fof(t1_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  (D=C =>  (r1_nfcont_4(A, C, B) <=> r1_nfcont_3(k4_real_ns1(A), D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t2_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  ( (r2_hidden(C, B) & r1_nfcont_4(A, D, C))  => r1_nfcont_4(A, k2_partfun1(k1_numbers, k1_euclid(A), D, B), C)) ) ) ) ) ) ) ) ).
fof(t3_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (r1_nfcont_4(A, C, B) <=>  (r2_hidden(B, k1_relset_1(k1_numbers, C)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (v1_xreal_0(F) =>  ~ ( (r2_hidden(F, k1_relset_1(k1_numbers, C)) &  ( ~ (r1_xxreal_0(E, k9_complex1(k6_xcmplx_0(F, B))))  & r1_xxreal_0(D, k12_euclid(k8_euclid(A, k7_partfun1(k1_euclid(A), C, F), k7_partfun1(k1_euclid(A), C, B))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (D=k1_nfcont_4(A, B, C) <=>  (k1_relset_1(B, D)=k1_relset_1(B, C) &  (! [E] :  (r2_tarski(E, k1_relset_1(B, D)) => k7_partfun1(k1_numbers, D, E)=k12_euclid(k7_partfun1(k1_euclid(A), C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A)))))  =>  (D=k2_nfcont_4(A, B, C) <=>  (k1_relset_1(B, D)=k1_relset_1(B, C) &  (! [E] :  (r2_tarski(E, k1_relset_1(B, D)) => k7_partfun1(k1_euclid(A), D, E)=k6_euclid(A, k7_partfun1(k1_euclid(A), C, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(k4_real_ns1(A))))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(k4_real_ns1(A))))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A)))))  =>  ( (C=E & D=F)  => k6_vfunct_1(B, k4_real_ns1(A), C, D)=k7_integr15(A, B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(k4_real_ns1(A))))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A)))))  =>  (! [E] :  (v1_xreal_0(E) =>  (C=D => k4_vfunct_1(B, k4_real_ns1(A), C, E)=k9_integr15(A, E, B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A)))))  => r2_relset_1(B, k1_euclid(A), k9_integr15(A, k4_xcmplx_0(1), B, C), k2_nfcont_4(A, B, C))) ) ) ) ) ) ).
fof(t8_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(k4_real_ns1(A))))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A)))))  =>  (C=D => k5_vfunct_1(B, k4_real_ns1(A), C)=k2_nfcont_4(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t9_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(k4_real_ns1(A))))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A)))))  =>  (C=D => r2_relset_1(B, k1_numbers, k4_normsp_0(B, k4_real_ns1(A), C), k1_nfcont_4(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t10_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(k4_real_ns1(A))))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(k4_real_ns1(A))))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A)))))  =>  ( (C=E & D=F)  => k2_vfunct_1(B, k4_real_ns1(A), C, D)=k8_integr15(A, B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  ( (? [D] :  (m1_rcomp_1(D, B) & k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, C), D)=k1_tarski(B)) )  => r1_nfcont_4(A, C, B)) ) ) ) ) ) ) ).
fof(t14_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  ( (r2_hidden(B, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, C), k1_relset_1(k1_numbers, D))) &  (r1_nfcont_4(A, C, B) & r1_nfcont_4(A, D, B)) )  => r1_nfcont_4(A, k7_integr15(A, k1_numbers, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t15_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  ( (r2_hidden(B, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, C), k1_relset_1(k1_numbers, D))) &  (r1_nfcont_4(A, C, B) & r1_nfcont_4(A, D, B)) )  => r1_nfcont_4(A, k8_integr15(A, k1_numbers, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t16_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (r1_nfcont_4(A, D, C) => r1_nfcont_4(A, k9_integr15(A, B, k1_numbers, D), C)) ) ) ) ) ) ) ) ) ).
fof(t17_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  ( (r2_hidden(B, k1_relset_1(k1_numbers, C)) & r1_nfcont_4(A, C, B))  => r1_fcont_1(k1_nfcont_4(A, k1_numbers, C), B)) ) ) ) ) ) ) ).
fof(t18_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  ( (r2_hidden(B, k1_relset_1(k1_numbers, C)) & r1_nfcont_4(A, C, B))  => r1_nfcont_4(A, k2_nfcont_4(A, k1_numbers, C), B)) ) ) ) ) ) ) ).
fof(t19_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k4_real_ns1(A))) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(C)))))  =>  ( (r2_hidden(B, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_euclid(A), u1_struct_0(k4_real_ns1(A)), u1_struct_0(C), E, F))) &  (r1_nfcont_4(A, E, B) &  (D=k7_partfun1(k1_euclid(A), E, B) & r1_nfcont_1(k4_real_ns1(A), C, F, D)) ) )  => r1_nfcont_3(C, k1_partfun1(k1_numbers, k1_euclid(A), u1_struct_0(k4_real_ns1(A)), u1_struct_0(C), E, F), B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_nfcont_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_numbers))))  =>  ( (r2_hidden(A, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, u1_struct_0(B), u1_struct_0(B), k1_numbers, C, D))) &  (r1_nfcont_3(B, C, A) & r2_nfcont_1(B, D, k7_partfun1(u1_struct_0(B), C, A))) )  => r1_fcont_1(k1_partfun1(k1_numbers, u1_struct_0(B), u1_struct_0(B), k1_numbers, C, D), A)) ) ) ) ) ) ) ) ) ).
fof(d4_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [C] :  (m1_subset_1(C, k1_euclid(A)) =>  (r2_nfcont_4(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(k4_real_ns1(A))) &  (? [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), k1_numbers))))  &  (C=D &  (B=E & r2_nfcont_1(k4_real_ns1(A), E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), k1_numbers))))  =>  (! [D] :  (m1_subset_1(D, k1_euclid(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k4_real_ns1(A))) =>  ( (B=C & D=E)  =>  (r2_nfcont_4(A, B, D) <=> r2_nfcont_1(k4_real_ns1(A), C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  ( (r2_hidden(B, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_euclid(A), k1_euclid(A), k1_numbers, C, D))) &  (r1_nfcont_4(A, C, B) & r2_nfcont_4(A, D, k7_partfun1(k1_euclid(A), C, B))) )  => r1_fcont_1(k1_partfun1(k1_numbers, k1_euclid(A), k1_euclid(A), k1_numbers, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(d5_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (v1_nfcont_4(B, A) <=>  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, k1_relset_1(k1_numbers, B)) => r1_nfcont_4(A, B, C)) ) ) ) ) ) ) ) ).
fof(t23_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (B=C =>  (v1_nfcont_3(B, k4_real_ns1(A)) <=> v1_nfcont_4(C, A)) ) ) ) ) ) ) ) ).
fof(t24_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (r1_tarski(B, k1_relset_1(k1_numbers, C)) =>  (v1_nfcont_4(k2_partfun1(k1_numbers, k1_euclid(A), C, B), A) <=>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(D, B) &  ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(F, k5_numbers))  &  (! [G] :  (v1_xreal_0(G) =>  ~ ( (r2_hidden(G, B) &  ( ~ (r1_xxreal_0(F, k9_complex1(k6_xcmplx_0(G, D))))  & r1_xxreal_0(E, k12_euclid(k8_euclid(A, k7_partfun1(k1_euclid(A), C, G), k7_partfun1(k1_euclid(A), C, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  ( (v1_nfcont_4(k2_partfun1(k1_numbers, k1_euclid(A), D, B), A) & r1_tarski(C, B))  => v1_nfcont_4(k2_partfun1(k1_numbers, k1_euclid(A), D, C), A)) ) ) ) ) ) ) ).
fof(t26_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  ( (r1_tarski(B, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, C), k1_relset_1(k1_numbers, D))) &  (v1_nfcont_4(k2_partfun1(k1_numbers, k1_euclid(A), C, B), A) & v1_nfcont_4(k2_partfun1(k1_numbers, k1_euclid(A), D, B), A)) )  =>  (v1_nfcont_4(k2_partfun1(k1_numbers, k1_euclid(A), k7_integr15(A, k1_numbers, C, D), B), A) & v1_nfcont_4(k2_partfun1(k1_numbers, k1_euclid(A), k8_integr15(A, k1_numbers, C, D), B), A)) ) ) ) ) ) ) ) ) ).
fof(t27_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, D)) &  (r1_tarski(C, k1_relset_1(k1_numbers, E)) &  (v1_nfcont_4(k2_partfun1(k1_numbers, k1_euclid(A), D, B), A) & v1_nfcont_4(k2_partfun1(k1_numbers, k1_euclid(A), E, C), A)) ) )  =>  (v1_nfcont_4(k2_partfun1(k1_numbers, k1_euclid(A), k7_integr15(A, k1_numbers, D, E), k3_xboole_0(B, C)), A) & v1_nfcont_4(k2_partfun1(k1_numbers, k1_euclid(A), k8_integr15(A, k1_numbers, D, E), k3_xboole_0(B, C)), A)) ) ) ) ) ) ) ) ) ) ).
fof(t28_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, D)) & v1_nfcont_4(k2_partfun1(k1_numbers, k1_euclid(A), D, B), A))  => v1_nfcont_4(k2_partfun1(k1_numbers, k1_euclid(A), k9_integr15(A, C, k1_numbers, D), B), A)) ) ) ) ) ) ) ) ).
fof(t29_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  ( (r1_tarski(B, k1_relset_1(k1_numbers, C)) & v1_nfcont_4(k2_partfun1(k1_numbers, k1_euclid(A), C, B), A))  =>  (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k1_nfcont_4(A, k1_numbers, C), B)) & v1_nfcont_4(k2_partfun1(k1_numbers, k1_euclid(A), k2_nfcont_4(A, k1_numbers, C), B), A)) ) ) ) ) ) ) ).
fof(t30_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  ( (v1_partfun1(B, k1_numbers) &  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => k7_partfun1(k1_euclid(A), B, k2_xcmplx_0(C, D))=k7_euclid(A, k7_partfun1(k1_euclid(A), B, C), k7_partfun1(k1_euclid(A), B, D))) ) ) ) )  =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ (r1_nfcont_4(A, B, C)) ) )  | v1_nfcont_4(k2_partfun1(k1_numbers, k1_euclid(A), B, k1_numbers), A)) ) ) ) ) ) ).
fof(t31_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k4_real_ns1(A)))) =>  ( (v1_rcomp_1(k1_relset_1(k1_numbers, B)) &  (v1_nfcont_4(k2_partfun1(k1_numbers, k1_euclid(A), B, k1_relset_1(k1_numbers, B)), A) & C=k2_relset_1(k1_euclid(A), B)) )  => v1_nfcont_1(C, k4_real_ns1(A))) ) ) ) ) ) ) ).
fof(t32_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_numbers)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k4_real_ns1(A)))) =>  ( (r1_tarski(C, k1_relset_1(k1_numbers, B)) &  (D=k7_relset_1(k1_numbers, k1_euclid(A), B, C) &  (v1_rcomp_1(C) & v1_nfcont_4(k2_partfun1(k1_numbers, k1_euclid(A), B, C), A)) ) )  => v1_nfcont_1(D, k4_real_ns1(A))) ) ) ) ) ) ) ) ) ).
fof(d6_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (v2_nfcont_4(B, A) <=>  (? [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  &  (C=B & v2_nfcont_3(C, k4_real_ns1(A))) ) ) ) ) ) ) ) ).
fof(t33_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (v2_nfcont_4(B, A) <=>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ( (r2_hidden(D, k1_relset_1(k1_numbers, B)) & r2_hidden(E, k1_relset_1(k1_numbers, B)))  => r1_xxreal_0(k12_euclid(k8_euclid(A, k7_partfun1(k1_euclid(A), B, D), k7_partfun1(k1_euclid(A), B, E))), k3_xcmplx_0(C, k9_complex1(k6_xcmplx_0(D, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  (B=C =>  (v2_nfcont_4(B, A) <=> v2_nfcont_3(C, k4_real_ns1(A))) ) ) ) ) ) ) ) ).
fof(t35_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (v2_nfcont_4(k2_partfun1(k1_numbers, k1_euclid(A), C, B), A) <=>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (r2_hidden(E, k1_relset_1(k1_numbers, k2_partfun1(k1_numbers, k1_euclid(A), C, B))) & r2_hidden(F, k1_relset_1(k1_numbers, k2_partfun1(k1_numbers, k1_euclid(A), C, B))))  => r1_xxreal_0(k12_euclid(k8_euclid(A, k7_partfun1(k1_euclid(A), C, E), k7_partfun1(k1_euclid(A), C, F))), k3_xcmplx_0(D, k9_complex1(k6_xcmplx_0(E, F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  ( (v2_nfcont_4(k2_partfun1(k1_numbers, k1_euclid(A), D, B), A) & r1_tarski(C, B))  => v2_nfcont_4(k2_partfun1(k1_numbers, k1_euclid(A), D, C), A)) ) ) ) ) ) ) ).
fof(t37_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  ( (v2_nfcont_4(k2_partfun1(k1_numbers, k1_euclid(A), D, B), A) & v2_nfcont_4(k2_partfun1(k1_numbers, k1_euclid(A), E, C), A))  => v2_nfcont_4(k2_partfun1(k1_numbers, k1_euclid(A), k7_integr15(A, k1_numbers, D, E), k3_xboole_0(B, C)), A)) ) ) ) ) ) ) ) ) ).
fof(t38_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  ( (v2_nfcont_4(k2_partfun1(k1_numbers, k1_euclid(A), D, B), A) & v2_nfcont_4(k2_partfun1(k1_numbers, k1_euclid(A), E, C), A))  => v2_nfcont_4(k2_partfun1(k1_numbers, k1_euclid(A), k8_integr15(A, k1_numbers, D, E), k3_xboole_0(B, C)), A)) ) ) ) ) ) ) ) ) ).
fof(t39_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  ( (v2_nfcont_4(k2_partfun1(k1_numbers, k1_euclid(A), D, B), A) & r1_tarski(B, k1_relset_1(k1_numbers, D)))  => v2_nfcont_4(k2_partfun1(k1_numbers, k1_euclid(A), k9_integr15(A, C, k1_numbers, D), B), A)) ) ) ) ) ) ) ) ).
fof(t40_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (v2_nfcont_4(k2_partfun1(k1_numbers, k1_euclid(A), C, B), A) =>  (v2_nfcont_4(k2_nfcont_4(A, k1_numbers, k2_partfun1(k1_numbers, k1_euclid(A), C, B)), A) &  (v2_fcont_1(k2_partfun1(k1_numbers, k1_numbers, k1_nfcont_4(A, k1_numbers, C), B)) & v2_nfcont_4(k2_partfun1(k1_numbers, k1_euclid(A), k2_nfcont_4(A, k1_numbers, C), B), A)) ) ) ) ) ) ) ) ).
fof(t41_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [D] :  (m1_subset_1(D, k1_euclid(A)) =>  (! [E] :  (m1_subset_1(E, k1_euclid(A)) =>  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, B) => k7_partfun1(k1_euclid(A), C, F)=k7_euclid(A, k9_euclid(A, D, F), E)) ) )  => v1_nfcont_4(k2_partfun1(k1_numbers, k1_euclid(A), C, B), A)) ) ) ) ) ) ) ) ) ) ).
fof(t42_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k1_euclid(A)) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(B, A))  => r2_nfcont_4(A, k1_pdiff_1(B, A), C)) ) ) ) ) ) ) ).
fof(t43_nfcont_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(B)))))  =>  (r1_nfcont_4(B, C, A) <=>  (r2_hidden(A, k1_relset_1(k1_numbers, C)) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r2_tarski(D, k2_finseq_1(B)) => r1_fcont_1(k1_partfun1(k1_numbers, k1_euclid(B), k1_euclid(B), k1_numbers, C, k1_pdiff_1(D, B)), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_nfcont_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (v1_nfcont_4(B, A) <=>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r2_tarski(C, k2_finseq_1(A)) => v1_fcont_1(k1_partfun1(k1_numbers, k1_euclid(A), k1_euclid(A), k1_numbers, B, k1_pdiff_1(C, A)))) ) ) ) ) ) ) ) ).
fof(t45_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(A))) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(B, A))  => r1_nfcont_1(k4_real_ns1(A), k4_real_ns1(1), k4_pdiff_1(B, A), C)) ) ) ) ) ) ) ).
fof(t46_nfcont_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(B))))))  =>  (r1_nfcont_3(k4_real_ns1(B), C, A) <=>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r2_tarski(D, k2_finseq_1(B)) => r1_nfcont_3(k4_real_ns1(1), k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(1)), C, k4_pdiff_1(D, B)), A)) ) ) ) ) ) ) ) ) ) ).
fof(t47_nfcont_4, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  (v1_nfcont_3(B, k4_real_ns1(A)) <=>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r2_tarski(C, k2_finseq_1(A)) => v1_nfcont_3(k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(1)), B, k4_pdiff_1(C, A)), k4_real_ns1(1))) ) ) ) ) ) ) ) ).
fof(dt_k1_nfcont_4, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k4_ordinal1) &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A))))) )  =>  (v1_funct_1(k1_nfcont_4(A, B, C)) & m1_subset_1(k1_nfcont_4(A, B, C), k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) ) ) ).
fof(dt_k2_nfcont_4, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k4_ordinal1) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A))))) ) )  =>  (v1_funct_1(k2_nfcont_4(A, B, C)) & m1_subset_1(k2_nfcont_4(A, B, C), k1_zfmisc_1(k2_zfmisc_1(B, k1_euclid(A))))) ) ) ).
fof(t4_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_euclid(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k4_real_ns1(A))) =>  (C=D => a_3_0_nfcont_4(A, B, C)=a_3_1_nfcont_4(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t11_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (r1_nfcont_4(A, C, B) <=>  (r2_hidden(B, k1_relset_1(k1_numbers, C)) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_euclid(A))) =>  ~ ( ( (? [E] :  (v1_xreal_0(E) &  ( ~ (r1_xxreal_0(E, k5_numbers))  & a_4_0_nfcont_4(A, B, C, E)=D) ) )  &  (! [E] :  (m1_rcomp_1(E, B) =>  (? [F] :  (v1_xreal_0(F) &  (r2_hidden(F, k1_relset_1(k1_numbers, C)) &  (r2_hidden(F, E) &  ~ (r2_tarski(k7_partfun1(k1_euclid(A), C, F), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_nfcont_4, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (r1_nfcont_4(A, C, B) <=>  (r2_hidden(B, k1_relset_1(k1_numbers, C)) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_euclid(A))) =>  ~ ( ( (? [E] :  (v1_xreal_0(E) &  ( ~ (r1_xxreal_0(E, k5_numbers))  & a_4_0_nfcont_4(A, B, C, E)=D) ) )  &  (! [E] :  (m1_rcomp_1(E, B) =>  ~ (r1_tarski(k7_relset_1(k1_numbers, k1_euclid(A), C, E), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_nfcont_4, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(B, k4_ordinal1) &  (v1_xreal_0(C) & m1_subset_1(D, k1_euclid(B))) )  =>  (r2_hidden(A, a_3_0_nfcont_4(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_euclid(B)) &  (A=E &  ~ (r1_xxreal_0(C, k12_euclid(k8_euclid(B, E, D)))) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_nfcont_4, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(B, k4_ordinal1) &  (v1_xreal_0(C) & m1_subset_1(D, u1_struct_0(k4_real_ns1(B)))) )  =>  (r2_hidden(A, a_3_1_nfcont_4(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(k4_real_ns1(B))) &  (A=E &  ~ (r1_xxreal_0(C, k2_normsp_0(k4_real_ns1(B), k5_algstr_0(k4_real_ns1(B), E, D)))) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_nfcont_4, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(B, k4_ordinal1) &  (v1_xreal_0(C) &  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(B)))))  & v1_xreal_0(E)) ) )  =>  (r2_hidden(A, a_4_0_nfcont_4(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, k1_euclid(B)) &  (A=F &  ~ (r1_xxreal_0(E, k12_euclid(k8_euclid(B, F, k7_partfun1(k1_euclid(B), D, C))))) ) ) ) ) ) ) ).
fof(fc1_niven, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  &  (m1_subset_1(B, u1_struct_0(A)) & v7_ordinal1(C)) )  =>  (v1_funct_1(k1_funct_7(k9_polynom3(A), C, B)) &  (v1_funct_2(k1_funct_7(k9_polynom3(A), C, B), k4_ordinal1, u1_struct_0(A)) & v1_polynom1(k1_funct_7(k9_polynom3(A), C, B), A)) ) ) ) ).
fof(fc2_niven, axiom,  (v5_relat_1(k9_polynom3(k2_vectsp_1), k4_numbers) &  (v1_funct_1(k9_polynom3(k2_vectsp_1)) & v1_funct_2(k9_polynom3(k2_vectsp_1), k4_ordinal1, u1_struct_0(k2_vectsp_1))) ) ).
fof(fc3_niven, axiom,  (v5_relat_1(k10_polynom3(k2_vectsp_1), k4_numbers) &  (v1_funct_1(k10_polynom3(k2_vectsp_1)) & v1_funct_2(k10_polynom3(k2_vectsp_1), k4_ordinal1, u1_struct_0(k2_vectsp_1))) ) ).
fof(rc1_niven, axiom,  (? [A] :  (m1_subset_1(A, u1_struct_0(k2_vectsp_1)) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_xxreal_0(A) & v1_int_1(A)) ) ) ) ) ).
fof(fc4_niven, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, u1_struct_0(A))) ) )  =>  (v1_funct_1(k1_niven(A, B, C, D)) &  (v1_funct_2(k1_niven(A, B, C, D), k4_ordinal1, u1_struct_0(A)) & v1_polynom1(k1_niven(A, B, C, D), A)) ) ) ) ).
fof(fc5_niven, axiom,  (! [A] :  ( (v1_int_1(A) & m1_subset_1(A, u1_struct_0(k2_vectsp_1)))  =>  (v5_relat_1(k2_algseq_1(k2_vectsp_1, A), k4_numbers) &  (v1_funct_1(k2_algseq_1(k2_vectsp_1, A)) &  (v1_funct_2(k2_algseq_1(k2_vectsp_1, A), k4_ordinal1, u1_struct_0(k2_vectsp_1)) & v1_polynom1(k2_algseq_1(k2_vectsp_1, A), k2_vectsp_1)) ) ) ) ) ).
fof(fc6_niven, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & m1_subset_1(A, u1_struct_0(k2_vectsp_1)))  &  (v1_int_1(B) & m1_subset_1(B, u1_struct_0(k2_vectsp_1))) )  =>  (v5_relat_1(k5_polynom5(k2_vectsp_1, A, B), k4_numbers) &  (v1_funct_1(k5_polynom5(k2_vectsp_1, A, B)) & v1_funct_2(k5_polynom5(k2_vectsp_1, A, B), k4_ordinal1, u1_struct_0(k2_vectsp_1))) ) ) ) ).
fof(fc7_niven, axiom,  (! [A, B, C] :  ( ( (v1_int_1(A) & m1_subset_1(A, u1_struct_0(k2_vectsp_1)))  &  ( (v1_int_1(B) & m1_subset_1(B, u1_struct_0(k2_vectsp_1)))  &  (v1_int_1(C) & m1_subset_1(C, u1_struct_0(k2_vectsp_1))) ) )  =>  (v5_relat_1(k1_niven(k2_vectsp_1, A, B, C), k4_numbers) &  (v1_funct_1(k1_niven(k2_vectsp_1, A, B, C)) & v1_funct_2(k1_niven(k2_vectsp_1, A, B, C), k4_ordinal1, u1_struct_0(k2_vectsp_1))) ) ) ) ).
fof(rc2_niven, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1)))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k4_numbers) &  (v5_relat_1(A, u1_struct_0(k2_vectsp_1)) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_partfun1(A, k4_ordinal1) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k2_vectsp_1)) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) &  (v1_polynom1(A, k2_vectsp_1) & v2_ratfunc1(A, k2_vectsp_1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_niven, axiom,  (? [A] :  (m1_finseq_1(A, u1_struct_0(k2_vectsp_1)) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k4_numbers) &  (v5_relat_1(A, u1_struct_0(k2_vectsp_1)) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) & v2_pre_poly(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc8_niven, axiom,  (! [A] :  ( (v5_relat_1(A, k4_numbers) & m1_finseq_1(A, u1_struct_0(k2_vectsp_1)))  => v1_int_1(k4_rlvect_1(k2_vectsp_1, A))) ) ).
fof(fc9_niven, axiom,  (! [A] :  ( (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k2_vectsp_1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) ) )  =>  (v5_relat_1(k5_vfunct_1(k4_ordinal1, k2_vectsp_1, A), k4_numbers) & v1_funct_1(k5_vfunct_1(k4_ordinal1, k2_vectsp_1, A))) ) ) ).
fof(fc10_niven, axiom,  (! [A, B] :  ( ( (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k2_vectsp_1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) ) )  &  (v5_relat_1(B, k4_numbers) &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k2_vectsp_1)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) ) ) )  =>  (v5_relat_1(k1_normsp_1(k2_vectsp_1, A, B), k4_numbers) &  (v1_funct_1(k1_normsp_1(k2_vectsp_1, A, B)) & v1_funct_2(k1_normsp_1(k2_vectsp_1, A, B), k4_ordinal1, u1_struct_0(k2_vectsp_1))) ) ) ) ).
fof(fc11_niven, axiom,  (! [A, B] :  ( ( (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k2_vectsp_1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) ) )  &  (v5_relat_1(B, k4_numbers) &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k2_vectsp_1)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) ) ) )  =>  (v5_relat_1(k2_normsp_1(k2_vectsp_1, A, B), k4_numbers) &  (v1_funct_1(k2_normsp_1(k2_vectsp_1, A, B)) & v1_funct_2(k2_normsp_1(k2_vectsp_1, A, B), k4_ordinal1, u1_struct_0(k2_vectsp_1))) ) ) ) ).
fof(fc12_niven, axiom,  (! [A, B] :  ( ( (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k2_vectsp_1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) ) )  &  (v5_relat_1(B, k4_numbers) &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k2_vectsp_1)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) ) ) )  =>  (v5_relat_1(k11_polynom3(k2_vectsp_1, A, B), k4_numbers) &  (v1_funct_1(k11_polynom3(k2_vectsp_1, A, B)) & v1_funct_2(k11_polynom3(k2_vectsp_1, A, B), k4_ordinal1, u1_struct_0(k2_vectsp_1))) ) ) ) ).
fof(fc13_niven, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  & l6_algstr_0(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k5_polynom5(A, B, k5_struct_0(A))) &  (v1_funct_2(k5_polynom5(A, B, k5_struct_0(A)), k4_ordinal1, u1_struct_0(A)) & v2_ratfunc1(k5_polynom5(A, B, k5_struct_0(A)), A)) ) ) ) ).
fof(fc14_niven, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  & l6_algstr_0(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (v1_funct_1(k1_niven(A, B, C, k5_struct_0(A))) &  (v1_funct_2(k1_niven(A, B, C, k5_struct_0(A)), k4_ordinal1, u1_struct_0(A)) & v2_ratfunc1(k1_niven(A, B, C, k5_struct_0(A)), A)) ) ) ) ).
fof(fc15_niven, axiom,  (! [A] :  ( (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k2_vectsp_1)) &  (v1_polynom1(A, k2_vectsp_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) ) ) )  => v1_int_1(k2_ratfunc1(k2_vectsp_1, A))) ) ).
fof(fc16_niven, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v2_ratfunc1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) &  (v2_ratfunc1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ) )  =>  (v1_funct_1(k11_polynom3(A, B, C)) &  (v1_funct_2(k11_polynom3(A, B, C), k4_ordinal1, u1_struct_0(A)) & v2_ratfunc1(k11_polynom3(A, B, C), A)) ) ) ) ).
fof(t1_niven, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  (k7_xcmplx_0(A, B)=k7_xcmplx_0(C, D) =>  (B=k5_numbers | A=k7_xcmplx_0(k3_xcmplx_0(B, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(t2_niven, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (k9_complex1(A)=B &  ( ~ (A=B)  &  ~ (A=k4_xcmplx_0(B)) ) ) ) ) ) ) ) ).
fof(t3_niven, axiom,  (! [A] :  (v1_int_1(A) =>  ~ ( (r1_xxreal_0(k1_int_2(A), 2) &  ( ~ (A=k4_xcmplx_0(2))  &  ( ~ (A=k4_xcmplx_0(1))  &  ( ~ (A=k5_numbers)  &  ( ~ (A=1)  &  ~ (A=2) ) ) ) ) ) ) ) ) ).
fof(t4_niven, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (B=k5_numbers)  => r1_int_1(A, k1_newton(A, B))) ) ) ) ) ).
fof(t5_niven, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  (! [C] :  (v1_int_1(C) =>  ~ ( (r1_xxreal_0(k3_xcmplx_0(B, C), A) & r1_xxreal_0(A, k3_xcmplx_0(B, k2_xcmplx_0(C, 1)))) ) ) ) ) ) ) ) ) ) ).
fof(t6_niven, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k2_vectsp_1)) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v3_valued_0(B)) ) )  =>  (A=B => k4_rlvect_1(k2_vectsp_1, A)=k16_rvsum_1(B)) ) ) ) ) ).
fof(t7_niven, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_vectsp_1)) => k9_nat_1(u1_struct_0(k2_vectsp_1), k4_group_1(k2_vectsp_1), B, A)=k1_newton(B, A)) ) ) ) ).
fof(t8_niven, axiom, k17_sin_cos(k7_xcmplx_0(k3_xcmplx_0(5, k28_sin_cos), 6))=k7_xcmplx_0(1, 2)).
fof(t9_niven, axiom,  (! [A] :  (v1_int_1(A) => k17_sin_cos(k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(5, k28_sin_cos), 6), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), A)))=k7_xcmplx_0(1, 2)) ) ).
fof(t10_niven, axiom, k17_sin_cos(k7_xcmplx_0(k3_xcmplx_0(7, k28_sin_cos), 6))=k4_xcmplx_0(k7_xcmplx_0(1, 2))).
fof(t11_niven, axiom,  (! [A] :  (v1_int_1(A) => k17_sin_cos(k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(7, k28_sin_cos), 6), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), A)))=k4_xcmplx_0(k7_xcmplx_0(1, 2))) ) ).
fof(t12_niven, axiom, k17_sin_cos(k7_xcmplx_0(k3_xcmplx_0(11, k28_sin_cos), 6))=k4_xcmplx_0(k7_xcmplx_0(1, 2))).
fof(t13_niven, axiom,  (! [A] :  (v1_int_1(A) => k17_sin_cos(k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(11, k28_sin_cos), 6), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), A)))=k4_xcmplx_0(k7_xcmplx_0(1, 2))) ) ).
fof(t14_niven, axiom, k19_sin_cos(k7_xcmplx_0(k3_xcmplx_0(4, k28_sin_cos), 3))=k4_xcmplx_0(k7_xcmplx_0(1, 2))).
fof(t15_niven, axiom,  (! [A] :  (v1_int_1(A) => k19_sin_cos(k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(4, k28_sin_cos), 3), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), A)))=k4_xcmplx_0(k7_xcmplx_0(1, 2))) ) ).
fof(t16_niven, axiom, k19_sin_cos(k7_xcmplx_0(k3_xcmplx_0(5, k28_sin_cos), 3))=k7_xcmplx_0(1, 2)).
fof(t17_niven, axiom,  (! [A] :  (v1_int_1(A) => k19_sin_cos(k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(5, k28_sin_cos), 3), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), A)))=k7_xcmplx_0(1, 2)) ) ).
fof(t18_niven, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( (r1_xxreal_0(k5_numbers, A) &  (r1_xxreal_0(A, k7_xcmplx_0(k28_sin_cos, 2)) & k19_sin_cos(A)=k7_xcmplx_0(1, 2)) )  => A=k7_xcmplx_0(k28_sin_cos, 3)) ) ) ).
fof(t19_niven, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k11_polynom3(A, k9_polynom3(A), B), k9_polynom3(A))) ) ) ) ).
fof(t20_niven, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  ( ~ (C=k4_struct_0(B))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) )  =>  (r2_funct_2(k4_ordinal1, u1_struct_0(B), D, k14_funct_7(k4_ordinal1, u1_struct_0(B), k9_polynom3(B), A, C)) => k1_algseq_1(B, D)=k1_nat_1(A, 1)) ) ) ) ) ) ) ) ) ) ).
fof(t21_niven, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  ( ~ (C=k4_struct_0(B))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) )  =>  (r2_funct_2(k4_ordinal1, u1_struct_0(B), D, k14_funct_7(k4_ordinal1, u1_struct_0(B), k9_polynom3(B), A, C)) => k2_hurwitz(B, D)=A) ) ) ) ) ) ) ) ) ) ).
fof(t22_niven, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_relset_1(u1_struct_0(A), k2_algseq_1(A, B))=k2_tarski(B, k4_struct_0(A))) ) ) ) ).
fof(d1_niven, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_niven(A, B, C, D)=k14_funct_7(k4_ordinal1, u1_struct_0(A), k14_funct_7(k4_ordinal1, u1_struct_0(A), k14_funct_7(k4_ordinal1, u1_struct_0(A), k9_polynom3(A), k5_numbers, B), 1, C), 2, D)) ) ) ) ) ) ) ) ).
fof(t23_niven, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k8_nat_1(u1_struct_0(A), k1_niven(A, B, C, D), k5_numbers)=B) ) ) ) ) ) ) ) ).
fof(t24_niven, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k8_nat_1(u1_struct_0(A), k1_niven(A, B, C, D), 1)=C) ) ) ) ) ) ) ) ).
fof(t25_niven, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k8_nat_1(u1_struct_0(A), k1_niven(A, B, C, D), 2)=D) ) ) ) ) ) ) ) ).
fof(t26_niven, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (r1_xxreal_0(3, A) => k8_nat_1(u1_struct_0(B), k1_niven(B, C, D, E), A)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_niven, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_xxreal_0(k1_algseq_1(A, k1_niven(A, B, C, D)), 3)) ) ) ) ) ) ) ) ).
fof(t28_niven, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ~ (D=k4_struct_0(A))  => k1_algseq_1(A, k1_niven(A, B, C, D))=3) ) ) ) ) ) ) ) ) ).
fof(t29_niven, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_rlvect_1(A) & l2_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k1_normsp_1(A, k2_algseq_1(A, B), k2_algseq_1(A, C)), k2_algseq_1(A, k1_algstr_0(A, B, C)))) ) ) ) ) ) ).
fof(t30_niven, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_rlvect_1(A) & l2_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k1_normsp_1(A, k5_polynom5(A, B, C), k5_polynom5(A, D, E)), k5_polynom5(A, k1_algstr_0(A, B, D), k1_algstr_0(A, C, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t31_niven, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_rlvect_1(A) & l2_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k1_normsp_1(A, k1_niven(A, B, C, D), k1_niven(A, E, F, G)), k1_niven(A, k1_algstr_0(A, B, E), k1_algstr_0(A, C, F), k1_algstr_0(A, D, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_niven, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k5_vfunct_1(k4_ordinal1, A, k2_algseq_1(A, B)), k2_algseq_1(A, k4_algstr_0(A, B)))) ) ) ) ).
fof(t33_niven, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k5_vfunct_1(k4_ordinal1, A, k5_polynom5(A, B, C)), k5_polynom5(A, k4_algstr_0(A, B), k4_algstr_0(A, C)))) ) ) ) ) ) ).
fof(t34_niven, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k5_vfunct_1(k4_ordinal1, A, k1_niven(A, B, C, D)), k1_niven(A, k4_algstr_0(A, B), k4_algstr_0(A, C), k4_algstr_0(A, D)))) ) ) ) ) ) ) ) ).
fof(t35_niven, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k2_normsp_1(A, k2_algseq_1(A, B), k2_algseq_1(A, C)), k2_algseq_1(A, k5_algstr_0(A, B, C)))) ) ) ) ) ) ).
fof(t36_niven, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k2_normsp_1(A, k5_polynom5(A, B, C), k5_polynom5(A, D, E)), k5_polynom5(A, k5_algstr_0(A, B, D), k5_algstr_0(A, C, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t37_niven, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k2_normsp_1(A, k1_niven(A, B, C, D), k1_niven(A, E, F, G)), k1_niven(A, k5_algstr_0(A, B, E), k5_algstr_0(A, C, F), k5_algstr_0(A, D, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_niven, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) &  (v1_group_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k2_polynom4(A, k1_niven(A, B, C, D), E)=k1_algstr_0(A, k1_algstr_0(A, B, k6_algstr_0(A, C, E)), k6_algstr_0(A, k6_algstr_0(A, D, E), E))) ) ) ) ) ) ) ) ) ) ).
fof(t39_niven, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  & l6_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_ratfunc1(A, k5_polynom5(A, B, k5_struct_0(A)))=k5_struct_0(A)) ) ) ) ).
fof(t40_niven, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  & l6_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_ratfunc1(A, k1_niven(A, B, C, k5_struct_0(A)))=k5_struct_0(A)) ) ) ) ) ) ).
fof(t41_niven, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => k2_hurwitz(A, k5_vfunct_1(k4_ordinal1, A, B))=k2_hurwitz(A, B)) ) ) ) ).
fof(t42_niven, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ( ~ (r1_xxreal_0(k2_hurwitz(A, B), k2_hurwitz(A, C)))  => k2_hurwitz(A, k1_normsp_1(A, B, C))=k2_hurwitz(A, B)) ) ) ) ) ) ) ).
fof(t43_niven, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ( ~ (r1_xxreal_0(k2_hurwitz(A, B), k2_hurwitz(A, C)))  => k2_hurwitz(A, k2_normsp_1(A, B, C))=k2_hurwitz(A, B)) ) ) ) ) ) ) ).
fof(t44_niven, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ( ~ (r1_xxreal_0(k2_hurwitz(A, C), k2_hurwitz(A, B)))  => k2_hurwitz(A, k2_normsp_1(A, B, C))=k2_hurwitz(A, C)) ) ) ) ) ) ) ).
fof(t45_niven, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => k2_ratfunc1(A, B)=k4_algstr_0(A, k2_ratfunc1(A, k5_vfunct_1(k4_ordinal1, A, B)))) ) ) ) ).
fof(t46_niven, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => k2_ratfunc1(A, k11_polynom3(A, B, C))=k6_algstr_0(A, k2_ratfunc1(A, B), k2_ratfunc1(A, C))) ) ) ) ) ) ).
fof(t47_niven, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v2_ratfunc1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ( ~ (r1_xxreal_0(k2_hurwitz(A, B), k2_hurwitz(A, C)))  => v2_ratfunc1(k1_normsp_1(A, B, C), A)) ) ) ) ) ) ) ).
fof(t48_niven, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v2_ratfunc1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ( ~ (r1_xxreal_0(k2_hurwitz(A, B), k2_hurwitz(A, C)))  => v2_ratfunc1(k2_normsp_1(A, B, C), A)) ) ) ) ) ) ) ).
fof(t49_niven, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v1_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (k2_polynom4(A, D, B)=C => k2_polynom4(A, k2_normsp_1(A, D, k2_algseq_1(A, C)), B)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ).
fof(t50_niven, axiom,  (! [A] :  ( (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k2_vectsp_1)) &  (v1_polynom1(A, k2_vectsp_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_vectsp_1)) =>  (r1_polynom5(k2_vectsp_1, A, B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  ( (B=k7_xcmplx_0(C, D) & r1_int_2(C, D))  =>  (D=k5_numbers |  (r1_int_1(C, k8_nat_1(u1_struct_0(k2_vectsp_1), A, k5_numbers)) & r1_int_1(D, k2_ratfunc1(k2_vectsp_1, A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_niven, axiom,  (! [A] :  ( (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k2_vectsp_1)) &  (v1_polynom1(A, k2_vectsp_1) &  (v2_ratfunc1(A, k2_vectsp_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) ) ) ) )  =>  (! [B] :  ( (v1_rat_1(B) & m1_subset_1(B, u1_struct_0(k2_vectsp_1)))  =>  (r1_polynom5(k2_vectsp_1, A, B) => v1_int_1(B)) ) ) ) ) ).
fof(t52_niven, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_vectsp_1)) =>  ~ ( (r1_xxreal_0(1, B) &  (C=k3_xcmplx_0(2, k19_sin_cos(A)) &  (! [D] :  ( (v5_relat_1(D, k4_numbers) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(k2_vectsp_1)) &  (v1_polynom1(D, k2_vectsp_1) &  (v2_ratfunc1(D, k2_vectsp_1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) ) ) ) )  =>  ~ ( (k2_polynom4(k2_vectsp_1, D, C)=k3_xcmplx_0(2, k19_sin_cos(k3_xcmplx_0(B, A))) &  (k2_hurwitz(k2_vectsp_1, D)=B &  ( (B=1 => r2_funct_2(k4_ordinal1, u1_struct_0(k2_vectsp_1), D, k5_polynom5(k2_vectsp_1, k4_struct_0(k2_vectsp_1), k5_struct_0(k2_vectsp_1))))  &  ~ ( (B=2 &  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_vectsp_1)) =>  ~ ( (E=k4_xcmplx_0(2) & r2_funct_2(k4_ordinal1, u1_struct_0(k2_vectsp_1), D, k1_niven(k2_vectsp_1, E, k4_struct_0(k2_vectsp_1), k5_struct_0(k2_vectsp_1)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_niven, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( (r1_xxreal_0(k5_numbers, A) &  (r1_xxreal_0(A, k7_xcmplx_0(k28_sin_cos, 2)) &  (v1_rat_1(k7_xcmplx_0(A, k28_sin_cos)) & v1_rat_1(k19_sin_cos(A))) ) )  => r2_hidden(A, k1_enumset1(k5_numbers, k7_xcmplx_0(k28_sin_cos, 3), k7_xcmplx_0(k28_sin_cos, 2)))) ) ) ).
fof(t54_niven, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_int_1(B) =>  ( (r1_xxreal_0(k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B), A) &  (r1_xxreal_0(A, k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 2), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B))) &  (v1_rat_1(k7_xcmplx_0(A, k28_sin_cos)) & v1_rat_1(k19_sin_cos(A))) ) )  => r2_hidden(A, k1_enumset1(k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B), k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 3), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B)), k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 2), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B))))) ) ) ) ) ).
fof(t55_niven, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( (r1_xxreal_0(k7_xcmplx_0(k28_sin_cos, 2), A) &  (r1_xxreal_0(A, k28_sin_cos) &  (v1_rat_1(k7_xcmplx_0(A, k28_sin_cos)) & v1_rat_1(k19_sin_cos(A))) ) )  => r2_hidden(A, k1_enumset1(k7_xcmplx_0(k28_sin_cos, 2), k7_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), 3), k28_sin_cos))) ) ) ).
fof(t56_niven, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_int_1(B) =>  ( (r1_xxreal_0(k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 2), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B)), A) &  (r1_xxreal_0(A, k2_xcmplx_0(k28_sin_cos, k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B))) &  (v1_rat_1(k7_xcmplx_0(A, k28_sin_cos)) & v1_rat_1(k19_sin_cos(A))) ) )  => r2_hidden(A, k1_enumset1(k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 2), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B)), k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), 3), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B)), k2_xcmplx_0(k28_sin_cos, k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B))))) ) ) ) ) ).
fof(t57_niven, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( (r1_xxreal_0(k28_sin_cos, A) &  (r1_xxreal_0(A, k7_xcmplx_0(k3_xcmplx_0(3, k28_sin_cos), 2)) &  (v1_rat_1(k7_xcmplx_0(A, k28_sin_cos)) & v1_rat_1(k19_sin_cos(A))) ) )  => r2_hidden(A, k1_enumset1(k28_sin_cos, k7_xcmplx_0(k3_xcmplx_0(4, k28_sin_cos), 3), k7_xcmplx_0(k3_xcmplx_0(3, k28_sin_cos), 2)))) ) ) ).
fof(t58_niven, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_int_1(B) =>  ( (r1_xxreal_0(k2_xcmplx_0(k28_sin_cos, k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B)), A) &  (r1_xxreal_0(A, k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(3, k28_sin_cos), 2), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B))) &  (v1_rat_1(k7_xcmplx_0(A, k28_sin_cos)) & v1_rat_1(k19_sin_cos(A))) ) )  => r2_hidden(A, k1_enumset1(k2_xcmplx_0(k28_sin_cos, k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B)), k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(4, k28_sin_cos), 3), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B)), k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(3, k28_sin_cos), 2), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B))))) ) ) ) ) ).
fof(t59_niven, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( (r1_xxreal_0(k7_xcmplx_0(k3_xcmplx_0(3, k28_sin_cos), 2), A) &  (r1_xxreal_0(A, k3_xcmplx_0(2, k28_sin_cos)) &  (v1_rat_1(k7_xcmplx_0(A, k28_sin_cos)) & v1_rat_1(k19_sin_cos(A))) ) )  => r2_hidden(A, k1_enumset1(k7_xcmplx_0(k3_xcmplx_0(3, k28_sin_cos), 2), k7_xcmplx_0(k3_xcmplx_0(5, k28_sin_cos), 3), k3_xcmplx_0(2, k28_sin_cos)))) ) ) ).
fof(t60_niven, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_int_1(B) =>  ( (r1_xxreal_0(k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(3, k28_sin_cos), 2), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B)), A) &  (r1_xxreal_0(A, k2_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B))) &  (v1_rat_1(k7_xcmplx_0(A, k28_sin_cos)) & v1_rat_1(k19_sin_cos(A))) ) )  => r2_hidden(A, k1_enumset1(k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(3, k28_sin_cos), 2), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B)), k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(5, k28_sin_cos), 3), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B)), k2_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B))))) ) ) ) ) ).
fof(t61_niven, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( (v1_rat_1(k7_xcmplx_0(A, k28_sin_cos)) & v1_rat_1(k19_sin_cos(A)))  => r2_tarski(k19_sin_cos(A), k3_enumset1(k5_numbers, 1, k4_xcmplx_0(1), k7_xcmplx_0(1, 2), k4_xcmplx_0(k7_xcmplx_0(1, 2))))) ) ) ).
fof(t62_niven, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( (r1_xxreal_0(k5_numbers, A) &  (r1_xxreal_0(A, k7_xcmplx_0(k28_sin_cos, 2)) &  (v1_rat_1(k7_xcmplx_0(A, k28_sin_cos)) & v1_rat_1(k17_sin_cos(A))) ) )  => r2_hidden(A, k1_enumset1(k5_numbers, k7_xcmplx_0(k28_sin_cos, 6), k7_xcmplx_0(k28_sin_cos, 2)))) ) ) ).
fof(t63_niven, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_int_1(B) =>  ( (r1_xxreal_0(k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B), A) &  (r1_xxreal_0(A, k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 2), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B))) &  (v1_rat_1(k7_xcmplx_0(A, k28_sin_cos)) & v1_rat_1(k17_sin_cos(A))) ) )  => r2_hidden(A, k1_enumset1(k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B), k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 6), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B)), k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 2), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B))))) ) ) ) ) ).
fof(t64_niven, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( (r1_xxreal_0(k7_xcmplx_0(k28_sin_cos, 2), A) &  (r1_xxreal_0(A, k28_sin_cos) &  (v1_rat_1(k7_xcmplx_0(A, k28_sin_cos)) & v1_rat_1(k17_sin_cos(A))) ) )  => r2_hidden(A, k1_enumset1(k7_xcmplx_0(k28_sin_cos, 2), k7_xcmplx_0(k3_xcmplx_0(5, k28_sin_cos), 6), k28_sin_cos))) ) ) ).
fof(t65_niven, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_int_1(B) =>  ( (r1_xxreal_0(k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 2), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B)), A) &  (r1_xxreal_0(A, k2_xcmplx_0(k28_sin_cos, k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B))) &  (v1_rat_1(k7_xcmplx_0(A, k28_sin_cos)) & v1_rat_1(k17_sin_cos(A))) ) )  => r2_hidden(A, k1_enumset1(k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos, 2), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B)), k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(5, k28_sin_cos), 6), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B)), k2_xcmplx_0(k28_sin_cos, k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B))))) ) ) ) ) ).
fof(t66_niven, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( (r1_xxreal_0(k28_sin_cos, A) &  (r1_xxreal_0(A, k7_xcmplx_0(k3_xcmplx_0(3, k28_sin_cos), 2)) &  (v1_rat_1(k7_xcmplx_0(A, k28_sin_cos)) & v1_rat_1(k17_sin_cos(A))) ) )  => r2_hidden(A, k1_enumset1(k28_sin_cos, k7_xcmplx_0(k3_xcmplx_0(7, k28_sin_cos), 6), k7_xcmplx_0(k3_xcmplx_0(3, k28_sin_cos), 2)))) ) ) ).
fof(t67_niven, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_int_1(B) =>  ( (r1_xxreal_0(k2_xcmplx_0(k28_sin_cos, k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B)), A) &  (r1_xxreal_0(A, k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(3, k28_sin_cos), 2), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B))) &  (v1_rat_1(k7_xcmplx_0(A, k28_sin_cos)) & v1_rat_1(k17_sin_cos(A))) ) )  => r2_hidden(A, k1_enumset1(k2_xcmplx_0(k28_sin_cos, k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B)), k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(7, k28_sin_cos), 6), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B)), k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(3, k28_sin_cos), 2), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B))))) ) ) ) ) ).
fof(t68_niven, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( (r1_xxreal_0(k7_xcmplx_0(k3_xcmplx_0(3, k28_sin_cos), 2), A) &  (r1_xxreal_0(A, k3_xcmplx_0(2, k28_sin_cos)) &  (v1_rat_1(k7_xcmplx_0(A, k28_sin_cos)) & v1_rat_1(k17_sin_cos(A))) ) )  => r2_hidden(A, k1_enumset1(k7_xcmplx_0(k3_xcmplx_0(3, k28_sin_cos), 2), k7_xcmplx_0(k3_xcmplx_0(11, k28_sin_cos), 6), k3_xcmplx_0(2, k28_sin_cos)))) ) ) ).
fof(t69_niven, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_int_1(B) =>  ( (r1_xxreal_0(k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(3, k28_sin_cos), 2), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B)), A) &  (r1_xxreal_0(A, k2_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B))) &  (v1_rat_1(k7_xcmplx_0(A, k28_sin_cos)) & v1_rat_1(k17_sin_cos(A))) ) )  => r2_hidden(A, k1_enumset1(k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(3, k28_sin_cos), 2), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B)), k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(11, k28_sin_cos), 6), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B)), k2_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B))))) ) ) ) ) ).
fof(t70_niven, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( (v1_rat_1(k7_xcmplx_0(A, k28_sin_cos)) & v1_rat_1(k17_sin_cos(A)))  => r2_tarski(k17_sin_cos(A), k3_enumset1(k5_numbers, 1, k4_xcmplx_0(1), k7_xcmplx_0(1, 2), k4_xcmplx_0(k7_xcmplx_0(1, 2))))) ) ) ).
fof(dt_k1_niven, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, u1_struct_0(A))) ) )  =>  (v1_funct_1(k1_niven(A, B, C, D)) &  (v1_funct_2(k1_niven(A, B, C, D), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k1_niven(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(fc1_nomin_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v1_finseq_1(k1_funct_4(A, B))) ) ) ) ).
fof(fc2_nomin_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  => v1_funct_1(k2_xboole_0(B, k5_relat_1(A, k6_subset_1(k9_xtuple_0(A), k9_xtuple_0(B)))))) ) ).
fof(rc1_nomin_1, axiom,  (! [A, B] :  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) ) ) ) ).
fof(fc3_nomin_1, axiom,  (! [A, B] :  ~ (v1_xboole_0(k1_nomin_1(A, B))) ) ).
fof(fc4_nomin_1, axiom,  (! [A, B, C] :  (v7_ordinal1(C) =>  (v1_relat_1(k5_relat_1(k2_nomin_1(A, B), k2_finseq_1(C))) & v1_finseq_1(k5_relat_1(k2_nomin_1(A, B), k2_finseq_1(C)))) ) ) ).
fof(cc1_nomin_1, axiom,  (! [A, B] :  (! [C] :  (m1_nomin_1(C, A, B) => v1_finset_1(C)) ) ) ).
fof(fc5_nomin_1, axiom,  (! [A, B] :  ~ (v1_xboole_0(k3_nomin_1(A, B))) ) ).
fof(fc6_nomin_1, axiom,  (! [A, B] :  (v1_relat_1(k4_nomin_1(A, B)) & v1_funct_1(k4_nomin_1(A, B))) ) ).
fof(fc7_nomin_1, axiom,  (! [A, B, C] :  (v1_relat_1(k6_nomin_1(A, B, C)) & v1_funct_1(k6_nomin_1(A, B, C))) ) ).
fof(fc8_nomin_1, axiom,  (! [A, B, C, D] :  (v1_relat_1(k8_nomin_1(A, B, C, D)) & v1_funct_1(k8_nomin_1(A, B, C, D))) ) ).
fof(fc9_nomin_1, axiom,  (! [A, B, C, D, E] :  (v1_relat_1(k10_nomin_1(A, B, C, D, E)) & v1_funct_1(k10_nomin_1(A, B, C, D, E))) ) ).
fof(t1_nomin_1, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r2_tarski(B, k4_finseq_1(C)) => k1_funct_1(k7_finseq_1(k9_finseq_1(A), C), k2_xcmplx_0(B, 1))=k1_funct_1(C, B)) ) ) ) ) ) ).
fof(t2_nomin_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (k9_xtuple_0(B)=k4_ordinal1 =>  (v1_relat_1(k5_relat_1(B, k2_finseq_1(A))) &  (v1_funct_1(k5_relat_1(B, k2_finseq_1(A))) & v1_finseq_1(k5_relat_1(B, k2_finseq_1(A)))) ) ) ) ) ) ) ).
fof(t3_nomin_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r1_tarski(k4_finseq_1(A), k4_finseq_1(B)) | r1_tarski(k4_finseq_1(B), k4_finseq_1(A))) ) ) ) ) ).
fof(d1_nomin_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (! [D] :  (r1_nomin_1(A, B, C, D) <=>  ( (r2_hidden(C, k9_xtuple_0(A)) => r2_hidden(D, k9_xtuple_0(B)))  &  ( (r2_hidden(D, k9_xtuple_0(B)) => r2_hidden(C, k9_xtuple_0(A)))  &  (r2_hidden(C, k9_xtuple_0(A)) => k1_funct_1(A, C)=k1_funct_1(B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t4_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_hidden(A, k1_nomin_1(B, C)) =>  (v1_funct_1(A) &  (v1_finset_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(B, C)))) ) ) ) ) ) ).
fof(t5_nomin_1, axiom,  (! [A] :  (! [B] : r1_tarski(k1_nomin_1(A, B), k4_partfun1(A, B))) ) ).
fof(t6_nomin_1, axiom,  (! [A] :  (! [B] : r2_tarski(k1_xboole_0, k1_nomin_1(A, B))) ) ).
fof(t7_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r1_tarski(B, C) => r1_tarski(k1_nomin_1(A, B), k1_nomin_1(A, C))) ) ) ) ).
fof(t8_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finset_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finset_1(D)) )  =>  ( (r1_partfun1(C, D) &  (r2_tarski(C, k1_nomin_1(A, B)) & r2_tarski(D, k1_nomin_1(A, B))) )  => r2_tarski(k2_xboole_0(C, D), k1_nomin_1(A, B))) ) ) ) ) ) ) ).
fof(d3_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k2_nomin_1(A, B) <=>  (k9_xtuple_0(C)=k4_ordinal1 &  (k1_funct_1(C, k5_numbers)=B &  (! [D] :  (v7_ordinal1(D) => k1_funct_1(C, k2_xcmplx_0(D, 1))=k1_nomin_1(A, k2_xboole_0(B, k1_funct_1(C, D)))) ) ) ) ) ) ) ) ) ).
fof(t9_nomin_1, axiom,  (! [A] :  (! [B] : k1_funct_1(k2_nomin_1(A, B), 1)=k1_nomin_1(A, B)) ) ).
fof(t10_nomin_1, axiom,  (! [A] :  (! [B] : k1_funct_1(k2_nomin_1(A, B), 2)=k1_nomin_1(A, k2_xboole_0(B, k1_nomin_1(A, B)))) ) ).
fof(t11_nomin_1, axiom,  (! [A] :  (! [B] : r1_tarski(B, k3_card_3(k2_nomin_1(A, B)))) ) ).
fof(t12_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(1, C) => r2_tarski(k1_xboole_0, k1_funct_1(k2_nomin_1(A, B), C))) ) ) ) ) ).
fof(t13_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(C, D) =>  (C=k5_numbers | r1_tarski(k1_funct_1(k2_nomin_1(A, B), C), k1_funct_1(k2_nomin_1(A, B), D))) ) ) ) ) ) ) ) ).
fof(d4_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r2_nomin_1(A, B, C) <=>  (k1_funct_1(C, 1)=k1_nomin_1(A, B) &  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(D, k4_finseq_1(C)) & r2_tarski(k2_xcmplx_0(D, 1), k4_finseq_1(C)))  => k1_funct_1(C, k2_xcmplx_0(D, 1))=k1_nomin_1(A, k2_xboole_0(B, k1_funct_1(C, D)))) ) ) ) ) ) ) ) ) ).
fof(t14_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ~ ( (r2_nomin_1(A, B, C) & C=k1_xboole_0) ) ) ) ) ) ).
fof(t15_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  ( (r2_nomin_1(A, B, C) & r1_tarski(D, C))  =>  (D=k1_xboole_0 | r2_nomin_1(A, B, D)) ) ) ) ) ) ) ) ).
fof(t16_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  ( (r2_nomin_1(A, B, D) & r2_tarski(C, k4_finseq_1(D)))  => r2_nomin_1(A, B, k16_finseq_1(C, D))) ) ) ) ) ) ) ).
fof(t17_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r2_nomin_1(A, B, C) => r2_nomin_1(A, B, k7_finseq_1(C, k9_finseq_1(k1_nomin_1(A, k2_xboole_0(B, k1_funct_1(C, k3_finseq_1(C)))))))) ) ) ) ) ).
fof(t18_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(1, C) => r2_nomin_1(A, B, k5_relat_1(k2_nomin_1(A, B), k2_finseq_1(C)))) ) ) ) ) ).
fof(t19_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  ( (r2_nomin_1(A, B, D) & r2_tarski(C, k4_finseq_1(D)))  => k1_funct_1(D, C)=k1_funct_1(k2_nomin_1(A, B), C)) ) ) ) ) ) ) ).
fof(t20_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r2_nomin_1(A, B, C) => C=k5_relat_1(k2_nomin_1(A, B), k4_finseq_1(C))) ) ) ) ) ).
fof(t21_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  ( (r2_nomin_1(A, B, C) & r2_nomin_1(A, B, D))  => r1_partfun1(C, D)) ) ) ) ) ) ) ).
fof(t22_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  ~ ( (r2_nomin_1(A, B, C) &  (r2_nomin_1(A, B, D) &  ( ~ (r1_tarski(C, D))  &  ~ (r1_tarski(D, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  ~ ( (r2_nomin_1(A, B, C) &  (r2_nomin_1(A, B, D) &  ( ~ (k1_funct_4(C, D)=C)  &  ~ (k1_funct_4(C, D)=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  ( (r2_nomin_1(A, B, C) & r2_nomin_1(A, B, D))  => r2_nomin_1(A, B, k1_funct_4(C, D))) ) ) ) ) ) ) ).
fof(t25_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  ( (r2_nomin_1(A, B, E) &  (r1_xxreal_0(C, D) & r2_tarski(D, k4_finseq_1(E))) )  => r1_tarski(k1_funct_1(E, C), k1_funct_1(E, D))) ) ) ) ) ) ) ) ) ).
fof(t26_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ~ ( (r2_nomin_1(A, B, C) &  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  ~ ( (k3_finseq_1(D)=k2_xcmplx_0(1, k3_finseq_1(C)) &  (r2_nomin_1(A, B, D) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) => k1_funct_1(D, E)=k1_nomin_1(A, k2_xboole_0(B, k1_funct_1(k7_finseq_1(k9_finseq_1(B), C), E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_nomin_1, axiom,  (! [A] :  (! [B] : r2_nomin_1(A, B, k9_finseq_1(k1_nomin_1(A, B)))) ) ).
fof(t28_nomin_1, axiom,  (! [A] :  (! [B] : r2_nomin_1(A, B, k10_finseq_1(k1_nomin_1(A, B), k1_nomin_1(A, k2_xboole_0(B, k1_nomin_1(A, B)))))) ) ).
fof(t29_nomin_1, axiom,  (! [A] :  (! [B] : r2_nomin_1(A, B, k11_finseq_1(k1_nomin_1(A, B), k1_nomin_1(A, k2_xboole_0(B, k1_nomin_1(A, B))), k1_nomin_1(A, k2_xboole_0(B, k1_nomin_1(A, k2_xboole_0(B, k1_nomin_1(A, B)))))))) ) ).
fof(d5_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (m1_nomin_1(C, A, B) <=>  (? [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  &  (r2_nomin_1(A, B, D) & r2_tarski(C, k3_card_3(D))) ) ) ) ) ) ) ) ).
fof(t30_nomin_1, axiom,  (! [A] :  (! [B] : m1_nomin_1(k1_xboole_0, A, B)) ) ).
fof(t31_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_nomin_1(C, A, B) => r2_tarski(C, k3_card_3(k2_nomin_1(A, B)))) ) ) ) ).
fof(t32_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_nomin_1(C, A, B) =>  (! [D] :  (r1_tarski(D, C) => m1_nomin_1(D, A, B)) ) ) ) ) ) ).
fof(t33_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_nomin_1(C, A, B) =>  (? [D] :  (v7_ordinal1(D) &  (v1_funct_1(C) &  (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_xboole_0(B, k1_funct_1(k2_nomin_1(A, B), D)))))) ) ) ) ) ) ) ) ).
fof(t34_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (! [E] :  (m1_nomin_1(E, A, B) =>  (! [F] :  (m1_nomin_1(F, A, B) =>  ( (r1_partfun1(E, F) &  (r2_nomin_1(A, B, D) &  (r2_tarski(E, k1_funct_1(D, C)) & r2_tarski(F, k1_funct_1(D, C))) ) )  => r2_tarski(k2_xboole_0(E, F), k1_funct_1(D, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (! [E] :  (m1_nomin_1(E, A, B) =>  (! [F] :  (m1_nomin_1(F, A, B) =>  ( (r1_partfun1(E, F) &  (r2_nomin_1(A, B, D) &  (r1_tarski(C, D) &  (r2_tarski(E, k3_card_3(C)) & r2_tarski(F, k3_card_3(D))) ) ) )  => r2_tarski(k2_xboole_0(E, F), k3_card_3(D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_nomin_1(C, A, B) =>  (! [D] :  (m1_nomin_1(D, A, B) =>  (r1_partfun1(C, D) => m1_nomin_1(k2_xboole_0(C, D), A, B)) ) ) ) ) ) ) ).
fof(t37_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_nomin_1(C, A, B) =>  (! [D] :  (m1_nomin_1(D, A, B) =>  (r1_partfun1(C, D) => m1_nomin_1(k1_funct_4(C, D), A, B)) ) ) ) ) ) ) ).
fof(d6_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m2_nomin_1(C, A, B) <=>  (r2_tarski(C, B) | m1_nomin_1(C, A, B)) ) ) ) ) ).
fof(t38_nomin_1, axiom,  (! [A] :  (! [B] : r2_tarski(k1_xboole_0, k3_nomin_1(A, B))) ) ).
fof(t39_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_hidden(A, k3_nomin_1(B, C)) => m2_nomin_1(A, B, C)) ) ) ) ).
fof(t40_nomin_1, axiom,  (! [A] :  (! [B] : k3_nomin_1(A, B)=k3_card_3(k2_nomin_1(A, B))) ) ).
fof(t41_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_nomin_1(C, A, B) => r2_tarski(C, k3_nomin_1(A, B))) ) ) ) ).
fof(t42_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_nomin_1(C, A, B) =>  ( ~ (r2_tarski(C, B))  => r2_tarski(C, k6_subset_1(k3_nomin_1(A, B), B))) ) ) ) ) ).
fof(t43_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_hidden(A, k6_subset_1(k3_nomin_1(B, C), C)) => m1_nomin_1(A, B, C)) ) ) ) ).
fof(t44_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m2_nomin_1(C, A, B) => r2_tarski(C, k3_card_3(k2_nomin_1(A, B)))) ) ) ) ).
fof(d8_nomin_1, axiom,  (! [A] :  (! [B] : k4_nomin_1(A, B)=k17_funcop_1(A, B)) ) ).
fof(t45_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (r2_hidden(B, C) & r2_hidden(A, D))  => r2_tarski(k4_nomin_1(B, A), k1_nomin_1(C, D))) ) ) ) ) ).
fof(t46_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (r2_hidden(B, C) & r2_hidden(A, D))  => m1_nomin_1(k4_nomin_1(B, A), C, D)) ) ) ) ) ).
fof(t47_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (r2_hidden(B, C) & r2_hidden(A, D))  => m2_nomin_1(k4_nomin_1(B, A), C, D)) ) ) ) ) ).
fof(d9_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] : k6_nomin_1(A, B, C)=k17_funcop_1(A, k17_funcop_1(B, C))) ) ) ).
fof(t48_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (r1_tarski(k2_tarski(B, C), D) & r2_hidden(A, E))  => r2_tarski(k6_nomin_1(B, C, A), k1_nomin_1(D, k2_xboole_0(E, k1_nomin_1(D, E))))) ) ) ) ) ) ).
fof(t49_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (r1_tarski(k2_tarski(B, C), D) & r2_hidden(A, E))  => m1_nomin_1(k6_nomin_1(B, C, A), D, E)) ) ) ) ) ) ).
fof(t50_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (r1_tarski(k2_tarski(B, C), D) & r2_hidden(A, E))  => m2_nomin_1(k6_nomin_1(B, C, A), D, E)) ) ) ) ) ) ).
fof(d10_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k8_nomin_1(A, B, C, D)=k6_funct_4(A, B, C, D)) ) ) ) ).
fof(t51_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( (r1_tarski(k2_tarski(C, D), E) & r1_tarski(k2_tarski(A, B), F))  => r2_tarski(k8_nomin_1(C, D, A, B), k1_nomin_1(E, F))) ) ) ) ) ) ) ).
fof(t52_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( (r1_tarski(k2_tarski(C, D), E) & r1_tarski(k2_tarski(A, B), F))  => m1_nomin_1(k8_nomin_1(C, D, A, B), E, F)) ) ) ) ) ) ) ).
fof(t53_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( (r1_tarski(k2_tarski(C, D), E) & r1_tarski(k2_tarski(A, B), F))  => m2_nomin_1(k8_nomin_1(C, D, A, B), E, F)) ) ) ) ) ) ) ).
fof(d11_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k10_nomin_1(A, B, C, D, E)=k6_funct_4(A, B, D, k17_funcop_1(C, E))) ) ) ) ) ).
fof(t54_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  ( (r1_tarski(k1_enumset1(C, D, E), F) & r1_tarski(k2_tarski(A, B), G))  => r2_tarski(k10_nomin_1(C, D, E, A, B), k1_nomin_1(F, k2_xboole_0(G, k1_nomin_1(F, G))))) ) ) ) ) ) ) ) ).
fof(t55_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  ( (r1_tarski(k1_enumset1(C, D, E), F) & r1_tarski(k2_tarski(A, B), G))  => m1_nomin_1(k10_nomin_1(C, D, E, A, B), F, G)) ) ) ) ) ) ) ) ).
fof(t56_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  ( (r1_tarski(k1_enumset1(C, D, E), F) & r1_tarski(k2_tarski(A, B), G))  => m2_nomin_1(k10_nomin_1(C, D, E, A, B), F, G)) ) ) ) ) ) ) ) ).
fof(t57_nomin_1, axiom,  (! [A] : m1_nomin_1(k9_finseq_1(A), k1_tarski(1), k1_tarski(A))) ).
fof(d12_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_nomin_1(D, A, B) =>  (r2_hidden(C, k9_xtuple_0(D)) => k12_nomin_1(A, B, C, D)=k1_funct_1(D, C)) ) ) ) ) ) ).
fof(d13_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (m2_nomin_1(D, A, B) & r2_hidden(C, A))  => k13_nomin_1(A, B, C, D)=k17_funcop_1(C, D)) ) ) ) ) ).
fof(d14_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, A) &  (v1_funct_1(D) & v1_finseq_1(D)) ) )  =>  ( ~ (r1_xxreal_0(k3_finseq_1(D), k5_numbers))  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  (E=k14_nomin_1(A, B, C, D) <=>  (k3_finseq_1(E)=k3_finseq_1(D) &  (k1_funct_1(E, 1)=k13_nomin_1(A, B, k1_funct_1(D, k3_finseq_1(D)), C) &  (! [F] :  (v7_ordinal1(F) =>  (r1_xxreal_0(1, F) =>  (r1_xxreal_0(k3_finseq_1(E), F) | k1_funct_1(E, k2_xcmplx_0(F, 1))=k13_nomin_1(A, B, k1_funct_1(D, k6_xcmplx_0(k3_finseq_1(D), F)), k1_funct_1(E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_relat_1(E) &  (v5_relat_1(E, B) &  (v1_funct_1(E) & v1_finseq_1(E)) ) )  =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, k3_finseq_1(E)))  => m1_nomin_1(k1_funct_1(k14_nomin_1(B, C, A, E), D), B, C)) ) ) ) ) ) ) ) ).
fof(d15_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v1_funct_1(C) & v1_finseq_1(C)) ) )  =>  (! [D] : k15_nomin_1(A, B, C, D)=k1_funct_1(k14_nomin_1(A, B, D, C), k3_finseq_1(k14_nomin_1(A, B, D, C)))) ) ) ) ) ).
fof(t59_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, B) &  (v1_funct_1(D) & v1_finseq_1(D)) ) )  =>  ( ~ (r1_xxreal_0(k3_finseq_1(D), k5_numbers))  => m1_nomin_1(k15_nomin_1(B, C, D, A), B, C)) ) ) ) ) ) ).
fof(t60_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, C) => k15_nomin_1(C, B, k12_finseq_1(C, D), A)=k13_nomin_1(C, B, D, A)) ) ) ) ) ) ).
fof(t61_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, C) =>  (! [E] :  (m1_subset_1(E, C) =>  (m2_nomin_1(A, C, B) => k15_nomin_1(C, B, k2_finseq_4(C, D, E), A)=k17_funcop_1(D, k17_funcop_1(E, A))) ) ) ) ) ) ) ) ) ).
fof(t62_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m2_nomin_1(D, B, C) =>  (r2_hidden(A, B) => k12_nomin_1(B, C, A, k13_nomin_1(B, C, A, D))=D) ) ) ) ) ) ).
fof(t63_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_nomin_1(D, B, C) =>  (r2_hidden(A, k9_xtuple_0(D)) => k13_nomin_1(B, C, A, k12_nomin_1(B, C, A, D))=k17_funcop_1(A, k1_funct_1(D, A))) ) ) ) ) ) ).
fof(d16_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (m2_nomin_1(C, A, B) & m2_nomin_1(D, A, B))  =>  (! [E] :  (m2_nomin_1(E, A, B) =>  ( ~ ( ( ~ (r2_hidden(C, B))  &  ( ~ (r2_hidden(D, B))  &  ~ ( (E=k16_nomin_1(A, B, C, D) <=>  (? [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  &  (? [G] :  ( (v1_relat_1(G) & v1_funct_1(G))  &  (F=C &  (G=D & E=k2_xboole_0(G, k5_relat_1(F, k6_subset_1(k9_xtuple_0(F), k9_xtuple_0(G))))) ) ) ) ) ) ) ) ) ) )  &  ( ~ ( ( ~ (r2_hidden(C, B))  &  ~ (r2_hidden(D, B)) ) )  =>  (E=k16_nomin_1(A, B, C, D) <=> E=D) ) ) ) ) ) ) ) ) ) ).
fof(d17_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k17_nomin_1(A, B, C, D, E)=k16_nomin_1(A, B, C, k13_nomin_1(A, B, E, D))) ) ) ) ) ).
fof(t64_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_nomin_1(C, A, B) =>  (! [D] :  (m1_nomin_1(D, A, B) =>  ~ ( ( ~ (r2_tarski(C, B))  &  ( ~ (r2_tarski(D, B))  &  ~ (k16_nomin_1(A, B, C, D)=k2_xboole_0(D, k5_relat_1(C, k6_subset_1(k9_xtuple_0(C), k9_xtuple_0(D))))) ) ) ) ) ) ) ) ) ) ).
fof(t65_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_nomin_1(C, A, B) =>  (! [D] :  (m1_nomin_1(D, A, B) =>  (r1_tarski(k9_xtuple_0(C), k9_xtuple_0(D)) =>  (r2_tarski(C, B) |  (r2_tarski(D, B) | k16_nomin_1(A, B, C, D)=D) ) ) ) ) ) ) ) ) ).
fof(t66_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_nomin_1(C, A, B) =>  ( ~ (r2_tarski(C, B))  => k16_nomin_1(A, B, C, C)=C) ) ) ) ) ).
fof(t67_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (r2_hidden(C, D) &  (m2_nomin_1(A, D, E) & m2_nomin_1(B, D, E)) )  =>  (r2_tarski(k17_funcop_1(C, A), E) |  (r2_tarski(k17_funcop_1(C, B), E) | k16_nomin_1(D, E, k17_funcop_1(C, A), k17_funcop_1(C, B))=k17_funcop_1(C, B)) ) ) ) ) ) ) ) ).
fof(t68_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( (r1_tarski(k2_tarski(C, D), E) &  (m2_nomin_1(A, E, F) & m2_nomin_1(B, E, F)) )  =>  (C=D |  (r2_tarski(k17_funcop_1(C, A), F) |  (r2_tarski(k17_funcop_1(D, B), F) | k16_nomin_1(E, F, k17_funcop_1(C, A), k17_funcop_1(D, B))=k6_funct_4(D, C, B, A)) ) ) ) ) ) ) ) ) ) ).
fof(t69_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  ( (r1_tarski(k1_enumset1(C, D, E), F) &  (r2_hidden(B, G) & m2_nomin_1(A, F, G)) )  =>  (C=D |  (r2_tarski(k17_funcop_1(D, A), G) |  (r2_tarski(k17_funcop_1(C, k17_funcop_1(E, B)), G) | k17_nomin_1(F, G, k17_funcop_1(D, A), k17_funcop_1(E, B), C)=k6_funct_4(C, D, k17_funcop_1(E, B), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k3_nomin_1(A, B), k3_nomin_1(A, B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k3_nomin_1(A, B))))) )  =>  (D=k19_nomin_1(A, B, C) <=>  (! [E] :  (m2_nomin_1(E, A, B) => k1_funct_1(D, E)=k13_nomin_1(A, B, C, E)) ) ) ) ) ) ) ) ).
fof(d20_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k3_nomin_1(A, B)), k3_nomin_1(A, B)))))  =>  (D=k20_nomin_1(A, B, C) <=>  (k1_relset_1(k2_zfmisc_1(k3_nomin_1(A, B), k3_nomin_1(A, B)), D)=k2_zfmisc_1(k6_subset_1(k3_nomin_1(A, B), B), k3_nomin_1(A, B)) &  (! [E] :  (m1_nomin_1(E, A, B) =>  (! [F] :  (r2_hidden(F, k3_nomin_1(A, B)) =>  (r2_tarski(E, B) | k1_funct_1(D, k4_tarski(E, F))=k17_nomin_1(A, B, E, F, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k2_nomin_1, axiom,  (! [A, B] :  (v1_relat_1(k2_nomin_1(A, B)) & v1_funct_1(k2_nomin_1(A, B))) ) ).
fof(dt_m1_nomin_1, axiom,  (! [A, B] :  (! [C] :  (m1_nomin_1(C, A, B) =>  (v1_relat_1(C) & v1_funct_1(C)) ) ) ) ).
fof(existence_m1_nomin_1, axiom,  (! [A, B] :  (? [C] : m1_nomin_1(C, A, B)) ) ).
fof(existence_m2_nomin_1, axiom,  (! [A, B] :  (? [C] : m2_nomin_1(C, A, B)) ) ).
fof(dt_k5_nomin_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, A) & m1_subset_1(D, B)) ) )  => m1_nomin_1(k5_nomin_1(A, B, C, D), A, B)) ) ).
fof(redefinition_k5_nomin_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, A) & m1_subset_1(D, B)) ) )  => k5_nomin_1(A, B, C, D)=k4_nomin_1(C, D)) ) ).
fof(dt_k7_nomin_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, A) &  (m1_subset_1(D, A) & m1_subset_1(E, B)) ) ) )  => m1_nomin_1(k7_nomin_1(A, B, C, D, E), A, B)) ) ).
fof(redefinition_k7_nomin_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, A) &  (m1_subset_1(D, A) & m1_subset_1(E, B)) ) ) )  => k7_nomin_1(A, B, C, D, E)=k6_nomin_1(C, D, E)) ) ).
fof(dt_k9_nomin_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, A) &  (m1_subset_1(D, A) &  (m1_subset_1(E, B) & m1_subset_1(F, B)) ) ) ) )  => m1_nomin_1(k9_nomin_1(A, B, C, D, E, F), A, B)) ) ).
fof(redefinition_k9_nomin_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, A) &  (m1_subset_1(D, A) &  (m1_subset_1(E, B) & m1_subset_1(F, B)) ) ) ) )  => k9_nomin_1(A, B, C, D, E, F)=k8_nomin_1(C, D, E, F)) ) ).
fof(dt_k11_nomin_1, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, A) &  (m1_subset_1(D, A) &  (m1_subset_1(E, A) &  (m1_subset_1(F, B) & m1_subset_1(G, B)) ) ) ) ) )  => m1_nomin_1(k11_nomin_1(A, B, C, D, E, F, G), A, B)) ) ).
fof(redefinition_k11_nomin_1, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, A) &  (m1_subset_1(D, A) &  (m1_subset_1(E, A) &  (m1_subset_1(F, B) & m1_subset_1(G, B)) ) ) ) ) )  => k11_nomin_1(A, B, C, D, E, F, G)=k10_nomin_1(C, D, E, F, G)) ) ).
fof(dt_k12_nomin_1, axiom,  (! [A, B, C, D] :  (m1_nomin_1(D, A, B) => m2_nomin_1(k12_nomin_1(A, B, C, D), A, B)) ) ).
fof(dt_k13_nomin_1, axiom,  (! [A, B, C, D] : m1_nomin_1(k13_nomin_1(A, B, C, D), A, B)) ).
fof(dt_k14_nomin_1, axiom,  (! [A, B, C, D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, A) &  (v1_funct_1(D) & v1_finseq_1(D)) ) )  =>  (v1_relat_1(k14_nomin_1(A, B, C, D)) &  (v1_funct_1(k14_nomin_1(A, B, C, D)) & v1_finseq_1(k14_nomin_1(A, B, C, D))) ) ) ) ).
fof(dt_k16_nomin_1, axiom,  (! [A, B, C, D] : m2_nomin_1(k16_nomin_1(A, B, C, D), A, B)) ).
fof(dt_k17_nomin_1, axiom,  (! [A, B, C, D, E] : m2_nomin_1(k17_nomin_1(A, B, C, D, E), A, B)) ).
fof(dt_k18_nomin_1, axiom,  (! [A, B, C] :  (v1_funct_1(k18_nomin_1(A, B, C)) & m1_subset_1(k18_nomin_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k3_nomin_1(A, B))))) ) ).
fof(dt_k19_nomin_1, axiom,  (! [A, B, C] :  (v1_funct_1(k19_nomin_1(A, B, C)) &  (v1_funct_2(k19_nomin_1(A, B, C), k3_nomin_1(A, B), k3_nomin_1(A, B)) & m1_subset_1(k19_nomin_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k3_nomin_1(A, B))))) ) ) ).
fof(dt_k20_nomin_1, axiom,  (! [A, B, C] :  (v1_funct_1(k20_nomin_1(A, B, C)) & m1_subset_1(k20_nomin_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k3_nomin_1(A, B)), k3_nomin_1(A, B))))) ) ).
fof(d2_nomin_1, axiom,  (! [A] :  (! [B] : k1_nomin_1(A, B)=a_2_0_nomin_1(A, B)) ) ).
fof(d7_nomin_1, axiom,  (! [A] :  (! [B] : k3_nomin_1(A, B)=a_2_1_nomin_1(A, B)) ) ).
fof(d18_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k3_nomin_1(A, B)))))  =>  (D=k18_nomin_1(A, B, C) <=>  (k1_relset_1(k3_nomin_1(A, B), D)=a_3_0_nomin_1(A, B, C) &  (! [E] :  (m1_nomin_1(E, A, B) =>  (r2_tarski(E, k1_relset_1(k3_nomin_1(A, B), D)) => k1_funct_1(D, E)=k12_nomin_1(A, B, C, E)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_nomin_1, axiom,  (! [A, B, C] :  (r2_hidden(A, a_2_0_nomin_1(B, C)) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  & A=D) ) ) ) ).
fof(fraenkel_a_2_1_nomin_1, axiom,  (! [A, B, C] :  (r2_hidden(A, a_2_1_nomin_1(B, C)) <=>  (? [D] :  (m2_nomin_1(D, B, C) & A=D) ) ) ) ).
fof(fraenkel_a_3_0_nomin_1, axiom,  (! [A, B, C, D] :  (r2_hidden(A, a_3_0_nomin_1(B, C, D)) <=>  (? [E] :  (m1_nomin_1(E, B, C) &  (A=E & r2_hidden(D, k9_xtuple_0(E))) ) ) ) ) ).
fof(fc1_normform, axiom,  (! [A] :  (v1_funct_1(k5_normform(A)) &  (v1_funct_2(k5_normform(A), k2_zfmisc_1(k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A))), k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A))) &  (v1_binop_1(k5_normform(A), k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A))) &  (v2_binop_1(k5_normform(A), k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A))) & v3_binop_1(k5_normform(A), k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)))) ) ) ) ) ).
fof(fc2_normform, axiom,  (! [A] :  ~ (v1_xboole_0(k7_normform(A))) ) ).
fof(fc3_normform, axiom,  (! [A] :  ~ (v1_xboole_0(k8_normform(A))) ) ).
fof(fc4_normform, axiom,  (! [A] :  ( ~ (v2_struct_0(k11_normform(A)))  & v3_lattices(k11_normform(A))) ) ).
fof(fc5_normform, axiom,  (! [A] :  (v3_lattices(k11_normform(A)) & v10_lattices(k11_normform(A))) ) ).
fof(fc6_normform, axiom,  (! [A] :  (v3_lattices(k11_normform(A)) &  (v11_lattices(k11_normform(A)) & v13_lattices(k11_normform(A))) ) ) ).
fof(d1_normform, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_finsub_1(B))  =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(A, B)) =>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(A, B)) =>  (r1_normform(A, B, C, D) <=>  (r1_tarski(k2_domain_1(A, B, C), k2_domain_1(A, B, D)) & r1_tarski(k3_domain_1(A, B, C), k3_domain_1(A, B, D))) ) ) ) ) ) ) ) ) ) ).
fof(d2_normform, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_finsub_1(B))  =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(A, B)) =>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(A, B)) => k1_normform(A, B, C, D)=k1_domain_1(A, B, k1_finsub_1(A, k2_domain_1(A, B, C), k2_domain_1(A, B, D)), k1_finsub_1(B, k3_domain_1(A, B, C), k3_domain_1(A, B, D)))) ) ) ) ) ) ) ) ).
fof(d3_normform, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_finsub_1(B))  =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(A, B)) =>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(A, B)) => k2_normform(A, B, C, D)=k1_domain_1(A, B, k3_finsub_1(A, k2_domain_1(A, B, C), k2_domain_1(A, B, D)), k3_finsub_1(B, k3_domain_1(A, B, C), k3_domain_1(A, B, D)))) ) ) ) ) ) ) ) ).
fof(d4_normform, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_finsub_1(B))  =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(A, B)) =>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(A, B)) => k3_normform(A, B, C, D)=k1_domain_1(A, B, k2_finsub_1(A, k2_domain_1(A, B, C), k2_domain_1(A, B, D)), k2_finsub_1(B, k3_domain_1(A, B, C), k3_domain_1(A, B, D)))) ) ) ) ) ) ) ) ).
fof(d5_normform, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_finsub_1(B))  =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(A, B)) =>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(A, B)) => k4_normform(A, B, C, D)=k1_domain_1(A, B, k4_finsub_1(A, k2_domain_1(A, B, C), k2_domain_1(A, B, D)), k4_finsub_1(B, k3_domain_1(A, B, C), k3_domain_1(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t1_normform, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_finsub_1(B))  =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(A, B)) =>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(A, B)) =>  ( (r1_normform(A, B, C, D) & r1_normform(A, B, D, C))  => C=D) ) ) ) ) ) ) ) ) ).
fof(t2_normform, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_finsub_1(B))  =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(A, B)) =>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(A, B)) =>  (! [E] :  (m1_subset_1(E, k2_zfmisc_1(A, B)) =>  ( (r1_normform(A, B, C, D) & r1_normform(A, B, D, E))  => r1_normform(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_normform, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_finsub_1(B))  =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(A, B)) =>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(A, B)) =>  (! [E] :  (m1_subset_1(E, k2_zfmisc_1(A, B)) => k1_normform(A, B, k1_normform(A, B, C, D), E)=k1_normform(A, B, C, k1_normform(A, B, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t4_normform, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_finsub_1(B))  =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(A, B)) =>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(A, B)) =>  (! [E] :  (m1_subset_1(E, k2_zfmisc_1(A, B)) => k2_normform(A, B, k2_normform(A, B, C, D), E)=k2_normform(A, B, C, k2_normform(A, B, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t5_normform, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_finsub_1(B))  =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(A, B)) =>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(A, B)) =>  (! [E] :  (m1_subset_1(E, k2_zfmisc_1(A, B)) => k2_normform(A, B, C, k1_normform(A, B, D, E))=k1_normform(A, B, k2_normform(A, B, C, D), k2_normform(A, B, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t6_normform, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_finsub_1(B))  =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(A, B)) =>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(A, B)) => k1_normform(A, B, C, k2_normform(A, B, D, C))=C) ) ) ) ) ) ) ) ).
fof(t7_normform, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_finsub_1(B))  =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(A, B)) =>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(A, B)) => k2_normform(A, B, C, k1_normform(A, B, D, C))=C) ) ) ) ) ) ) ) ).
fof(t8_normform, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_finsub_1(B))  =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(A, B)) =>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(A, B)) =>  (! [E] :  (m1_subset_1(E, k2_zfmisc_1(A, B)) => k1_normform(A, B, C, k2_normform(A, B, D, E))=k2_normform(A, B, k1_normform(A, B, C, D), k1_normform(A, B, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t9_normform, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_finsub_1(B))  =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(A, B)) =>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(A, B)) =>  (! [E] :  (m1_subset_1(E, k2_zfmisc_1(A, B)) =>  ( (r1_normform(A, B, C, E) & r1_normform(A, B, D, E))  => r1_normform(A, B, k1_normform(A, B, C, D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_normform, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_finsub_1(B))  =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(A, B)) =>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(A, B)) =>  (r1_normform(A, B, C, k1_normform(A, B, C, D)) & r1_normform(A, B, D, k1_normform(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t11_normform, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_finsub_1(B))  =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(A, B)) =>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(A, B)) =>  (C=k1_normform(A, B, C, D) => r1_normform(A, B, D, C)) ) ) ) ) ) ) ) ) ).
fof(t12_normform, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_finsub_1(B))  =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(A, B)) =>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(A, B)) =>  (! [E] :  (m1_subset_1(E, k2_zfmisc_1(A, B)) =>  (r1_normform(A, B, C, D) =>  (r1_normform(A, B, k1_normform(A, B, E, C), k1_normform(A, B, E, D)) & r1_normform(A, B, k1_normform(A, B, C, E), k1_normform(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_normform, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_finsub_1(B))  =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(A, B)) =>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(A, B)) => k1_normform(A, B, k3_normform(A, B, C, D), D)=k1_normform(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t14_normform, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_finsub_1(B))  =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(A, B)) =>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(A, B)) =>  (! [E] :  (m1_subset_1(E, k2_zfmisc_1(A, B)) =>  (r1_normform(A, B, k3_normform(A, B, C, D), E) => r1_normform(A, B, C, k1_normform(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_normform, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v4_finsub_1(B))  =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(A, B)) =>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(A, B)) =>  (! [E] :  (m1_subset_1(E, k2_zfmisc_1(A, B)) =>  (r1_normform(A, B, C, k1_normform(A, B, D, E)) => r1_normform(A, B, k3_normform(A, B, C, E), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_normform, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A))), k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A))), k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)))))) )  =>  (B=k5_normform(A) <=>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A))) =>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A))) => k4_binop_1(k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), B, C, D)=k1_normform(k5_finsub_1(A), k5_finsub_1(A), C, D)) ) ) ) ) ) ) ) ).
fof(d7_normform, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (m1_subset_1(C, k5_finsub_1(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k2_zfmisc_1(k5_finsub_1(B), k5_finsub_1(B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_zfmisc_1(k5_finsub_1(B), k5_finsub_1(B)))))) )  => k6_normform(A, B, C, D)=k7_setwiseo(A, k2_zfmisc_1(k5_finsub_1(B), k5_finsub_1(B)), k5_normform(B), C, D)) ) ) ) ) ) ) ).
fof(t16_normform, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)))))) )  =>  (! [D] :  (m1_subset_1(D, k5_finsub_1(B)) =>  (! [E] :  (m1_subset_1(E, B) =>  (r2_tarski(E, D) => r1_normform(k5_finsub_1(A), k5_finsub_1(A), k3_funct_2(B, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), C, E), k6_normform(B, A, D, C))) ) ) ) ) ) ) ) ) ) ).
fof(t17_normform, axiom,  (! [A] : r3_binop_1(k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k1_domain_1(k5_finsub_1(A), k5_finsub_1(A), k1_setwiseo(A), k1_setwiseo(A)), k5_normform(A))) ).
fof(t18_normform, axiom,  (! [A] : v1_setwiseo(k5_normform(A), k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)))) ).
fof(t19_normform, axiom,  (! [A] : k3_binop_1(k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k5_normform(A))=k1_domain_1(k5_finsub_1(A), k5_finsub_1(A), k1_setwiseo(A), k1_setwiseo(A))) ).
fof(t20_normform, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A))) => r1_normform(k5_finsub_1(A), k5_finsub_1(A), k3_binop_1(k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k5_normform(A)), B)) ) ) ).
fof(t21_normform, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)))))) )  =>  (! [D] :  (m1_subset_1(D, k5_finsub_1(B)) =>  (! [E] :  (m1_subset_1(E, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A))) =>  ( (! [F] :  (m1_subset_1(F, B) =>  (r2_tarski(F, D) => r1_normform(k5_finsub_1(A), k5_finsub_1(A), k3_funct_2(B, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), C, F), E)) ) )  => r1_normform(k5_finsub_1(A), k5_finsub_1(A), k6_normform(B, A, D, C), E)) ) ) ) ) ) ) ) ) ) ).
fof(t22_normform, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(B)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)))))) )  =>  (k5_relat_1(D, C)=k5_relat_1(E, C) => k6_normform(B, A, C, D)=k6_normform(B, A, C, E)) ) ) ) ) ) ) ) ) ) ).
fof(t23_normform, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A))) =>  (r2_tarski(B, k7_normform(A)) <=> r1_xboole_0(k2_domain_1(k5_finsub_1(A), k5_finsub_1(A), B), k3_domain_1(k5_finsub_1(A), k5_finsub_1(A), B))) ) ) ) ).
fof(t24_normform, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A))) =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A))) =>  ( (r2_tarski(C, k7_normform(A)) & r2_tarski(B, k7_normform(A)))  =>  (r2_tarski(k1_normform(k5_finsub_1(A), k5_finsub_1(A), C, B), k7_normform(A)) <=> k5_setwiseo(A, k3_finsub_1(k5_finsub_1(A), k2_domain_1(k5_finsub_1(A), k5_finsub_1(A), C), k3_domain_1(k5_finsub_1(A), k5_finsub_1(A), B)), k3_finsub_1(k5_finsub_1(A), k2_domain_1(k5_finsub_1(A), k5_finsub_1(A), B), k3_domain_1(k5_finsub_1(A), k5_finsub_1(A), C)))=k1_xboole_0) ) ) ) ) ) ) ).
fof(t25_normform, axiom,  (! [A] :  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) => r1_xboole_0(k2_domain_1(k5_finsub_1(A), k5_finsub_1(A), B), k3_domain_1(k5_finsub_1(A), k5_finsub_1(A), B))) ) ) ).
fof(t26_normform, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A))) =>  (! [C] :  (m2_subset_1(C, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) =>  (r1_normform(k5_finsub_1(A), k5_finsub_1(A), B, C) => m2_subset_1(B, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A))) ) ) ) ) ) ).
fof(t27_normform, axiom,  (! [A] :  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) =>  (! [C] :  ~ ( (r2_tarski(C, k2_domain_1(k5_finsub_1(A), k5_finsub_1(A), B)) & r2_tarski(C, k3_domain_1(k5_finsub_1(A), k5_finsub_1(A), B))) ) ) ) ) ) ).
fof(t28_normform, axiom,  (! [A] :  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) =>  (! [C] :  (m2_subset_1(C, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) =>  ~ ( ( ~ (r2_tarski(k1_normform(k5_finsub_1(A), k5_finsub_1(A), B, C), k7_normform(A)))  &  (! [D] :  (m1_subset_1(D, A) =>  ( ~ ( (r2_tarski(D, k2_domain_1(k5_finsub_1(A), k5_finsub_1(A), B)) & r2_tarski(D, k3_domain_1(k5_finsub_1(A), k5_finsub_1(A), C))) )  &  ~ ( (r2_tarski(D, k2_domain_1(k5_finsub_1(A), k5_finsub_1(A), C)) & r2_tarski(D, k3_domain_1(k5_finsub_1(A), k5_finsub_1(A), B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_normform, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A))) =>  (r1_xboole_0(k2_domain_1(k5_finsub_1(A), k5_finsub_1(A), B), k3_domain_1(k5_finsub_1(A), k5_finsub_1(A), B)) => m2_subset_1(B, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A))) ) ) ) ).
fof(t30_normform, axiom,  (! [A] :  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) =>  (! [C] :  (! [D] :  ( (r1_tarski(C, k2_domain_1(k5_finsub_1(A), k5_finsub_1(A), B)) & r1_tarski(D, k3_domain_1(k5_finsub_1(A), k5_finsub_1(A), B)))  => m2_subset_1(k4_tarski(C, D), k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A))) ) ) ) ) ) ).
fof(t31_normform, axiom,  (! [A] : r2_tarski(k1_xboole_0, k8_normform(A))) ).
fof(t32_normform, axiom,  (! [A] :  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) =>  (! [C] :  (m2_subset_1(C, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) =>  (! [D] :  (m1_subset_1(D, k5_finsub_1(k7_normform(A))) =>  ( (r2_tarski(D, k8_normform(A)) &  (r2_tarski(B, D) &  (r2_tarski(C, D) & r1_normform(k5_finsub_1(A), k5_finsub_1(A), B, C)) ) )  => B=C) ) ) ) ) ) ) ) ).
fof(t33_normform, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k5_finsub_1(k7_normform(A))) =>  ( (! [C] :  (m2_subset_1(C, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) =>  (! [D] :  (m2_subset_1(D, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) =>  ( (r2_tarski(C, B) &  (r2_tarski(D, B) & r1_normform(k5_finsub_1(A), k5_finsub_1(A), C, D)) )  => C=D) ) ) ) )  => r2_tarski(B, k8_normform(A))) ) ) ) ).
fof(t34_normform, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A))) =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(k7_normform(A))) =>  (! [D] :  (m1_subset_1(D, k5_finsub_1(k7_normform(A))) =>  ~ ( (r2_tarski(B, k10_normform(A, C, D)) &  (! [E] :  (m2_subset_1(E, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) =>  (! [F] :  (m2_subset_1(F, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) =>  ~ ( (r2_tarski(E, C) &  (r2_tarski(F, D) & B=k1_normform(k5_finsub_1(A), k5_finsub_1(A), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_normform, axiom,  (! [A] :  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) =>  (! [C] :  (m2_subset_1(C, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) =>  (! [D] :  (m1_subset_1(D, k5_finsub_1(k7_normform(A))) =>  (! [E] :  (m1_subset_1(E, k5_finsub_1(k7_normform(A))) =>  ( (r2_tarski(B, D) &  (r2_tarski(C, E) & r2_tarski(k1_normform(k5_finsub_1(A), k5_finsub_1(A), B, C), k7_normform(A))) )  => r2_tarski(k1_normform(k5_finsub_1(A), k5_finsub_1(A), B, C), k10_normform(A, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t36_normform, axiom,  (! [A] :  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) =>  (! [C] :  (m2_subset_1(C, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) =>  (! [D] :  (m1_subset_1(D, k5_finsub_1(k7_normform(A))) =>  (r2_tarski(B, k9_normform(A, D)) =>  (r2_tarski(B, D) &  ( (r2_tarski(C, D) & r1_normform(k5_finsub_1(A), k5_finsub_1(A), C, B))  => C=B) ) ) ) ) ) ) ) ) ) ).
fof(t37_normform, axiom,  (! [A] :  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(k7_normform(A))) =>  (r2_tarski(B, k9_normform(A, C)) => r2_tarski(B, C)) ) ) ) ) ) ).
fof(t38_normform, axiom,  (! [A] :  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) =>  (! [C] :  (m2_subset_1(C, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) =>  (! [D] :  (m1_subset_1(D, k5_finsub_1(k7_normform(A))) =>  ( (r2_tarski(B, k9_normform(A, D)) &  (r2_tarski(C, D) & r1_normform(k5_finsub_1(A), k5_finsub_1(A), C, B)) )  => C=B) ) ) ) ) ) ) ) ).
fof(t39_normform, axiom,  (! [A] :  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(k7_normform(A))) =>  ( (r2_tarski(B, C) &  (! [D] :  (m2_subset_1(D, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) =>  ( (r2_tarski(D, C) & r1_normform(k5_finsub_1(A), k5_finsub_1(A), D, B))  => D=B) ) ) )  => r2_tarski(B, k9_normform(A, C))) ) ) ) ) ) ).
fof(t40_normform, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k5_finsub_1(k7_normform(A))) => r1_tarski(k9_normform(A, B), B)) ) ) ).
fof(t41_normform, axiom,  (! [A] :  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(k7_normform(A))) =>  ~ ( (r2_tarski(B, C) &  (! [D] :  (m2_subset_1(D, k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A)) =>  ~ ( (r1_normform(k5_finsub_1(A), k5_finsub_1(A), D, B) & r2_tarski(D, k9_normform(A, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_normform, axiom,  (! [A] :  (! [B] :  (m2_subset_1(B, k5_finsub_1(k7_normform(A)), k8_normform(A)) => k9_normform(A, B)=B) ) ) ).
fof(t43_normform, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k5_finsub_1(k7_normform(A))) =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(k7_normform(A))) => r1_tarski(k9_normform(A, k5_setwiseo(k7_normform(A), B, C)), k5_setwiseo(k7_normform(A), k9_normform(A, B), C))) ) ) ) ) ).
fof(t44_normform, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k5_finsub_1(k7_normform(A))) =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(k7_normform(A))) => k9_normform(A, k5_setwiseo(k7_normform(A), k9_normform(A, B), C))=k9_normform(A, k5_setwiseo(k7_normform(A), B, C))) ) ) ) ) ).
fof(t45_normform, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k5_finsub_1(k7_normform(A))) =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(k7_normform(A))) => k9_normform(A, k5_setwiseo(k7_normform(A), B, k9_normform(A, C)))=k9_normform(A, k5_setwiseo(k7_normform(A), B, C))) ) ) ) ) ).
fof(t46_normform, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k5_finsub_1(k7_normform(A))) =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(k7_normform(A))) =>  (! [D] :  (m1_subset_1(D, k5_finsub_1(k7_normform(A))) =>  (r1_tarski(B, C) => r1_tarski(k10_normform(A, B, D), k10_normform(A, C, D))) ) ) ) ) ) ) ) ).
fof(t47_normform, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k5_finsub_1(k7_normform(A))) =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(k7_normform(A))) => r1_tarski(k9_normform(A, k10_normform(A, B, C)), k10_normform(A, k9_normform(A, B), C))) ) ) ) ) ).
fof(t48_normform, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k5_finsub_1(k7_normform(A))) =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(k7_normform(A))) => k10_normform(A, B, C)=k10_normform(A, C, B)) ) ) ) ) ).
fof(t49_normform, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k5_finsub_1(k7_normform(A))) =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(k7_normform(A))) =>  (! [D] :  (m1_subset_1(D, k5_finsub_1(k7_normform(A))) =>  (r1_tarski(B, C) => r1_tarski(k10_normform(A, D, B), k10_normform(A, D, C))) ) ) ) ) ) ) ) ).
fof(t50_normform, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k5_finsub_1(k7_normform(A))) =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(k7_normform(A))) => k9_normform(A, k10_normform(A, k9_normform(A, B), C))=k9_normform(A, k10_normform(A, B, C))) ) ) ) ) ).
fof(t51_normform, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k5_finsub_1(k7_normform(A))) =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(k7_normform(A))) => k9_normform(A, k10_normform(A, B, k9_normform(A, C)))=k9_normform(A, k10_normform(A, B, C))) ) ) ) ) ).
fof(t52_normform, axiom,  (! [A] :  (! [B] :  (m2_subset_1(B, k5_finsub_1(k7_normform(A)), k8_normform(A)) =>  (! [C] :  (m2_subset_1(C, k5_finsub_1(k7_normform(A)), k8_normform(A)) =>  (! [D] :  (m2_subset_1(D, k5_finsub_1(k7_normform(A)), k8_normform(A)) => k10_normform(A, B, k10_normform(A, C, D))=k10_normform(A, k10_normform(A, B, C), D)) ) ) ) ) ) ) ).
fof(t53_normform, axiom,  (! [A] :  (! [B] :  (m2_subset_1(B, k5_finsub_1(k7_normform(A)), k8_normform(A)) =>  (! [C] :  (m2_subset_1(C, k5_finsub_1(k7_normform(A)), k8_normform(A)) =>  (! [D] :  (m2_subset_1(D, k5_finsub_1(k7_normform(A)), k8_normform(A)) => k10_normform(A, B, k5_setwiseo(k7_normform(A), C, D))=k5_setwiseo(k7_normform(A), k10_normform(A, B, C), k10_normform(A, B, D))) ) ) ) ) ) ) ).
fof(t54_normform, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k5_finsub_1(k7_normform(A))) => r1_tarski(B, k10_normform(A, B, B))) ) ) ).
fof(t55_normform, axiom,  (! [A] :  (! [B] :  (m2_subset_1(B, k5_finsub_1(k7_normform(A)), k8_normform(A)) => k9_normform(A, k10_normform(A, B, B))=k9_normform(A, B)) ) ) ).
fof(d12_normform, axiom,  (! [A] :  (! [B] :  ( (v3_lattices(B) & l3_lattices(B))  =>  (B=k11_normform(A) <=>  (u1_struct_0(B)=k8_normform(A) &  (! [C] :  (m2_subset_1(C, k5_finsub_1(k7_normform(A)), k8_normform(A)) =>  (! [D] :  (m2_subset_1(D, k5_finsub_1(k7_normform(A)), k8_normform(A)) =>  (k1_binop_1(u2_lattices(B), C, D)=k9_normform(A, k5_setwiseo(k7_normform(A), C, D)) & k1_binop_1(u1_lattices(B), C, D)=k9_normform(A, k10_normform(A, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t56_normform, axiom,  (! [A] : m1_subset_1(k1_xboole_0, u1_struct_0(k11_normform(A)))) ).
fof(t57_normform, axiom,  (! [A] : k5_lattices(k11_normform(A))=k1_xboole_0) ).
fof(reflexivity_r1_normform, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  &  ( ( ~ (v1_xboole_0(B))  & v4_finsub_1(B))  &  (m1_subset_1(C, k2_zfmisc_1(A, B)) & m1_subset_1(D, k2_zfmisc_1(A, B))) ) )  => r1_normform(A, B, C, C)) ) ).
fof(dt_k1_normform, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  &  ( ( ~ (v1_xboole_0(B))  & v4_finsub_1(B))  &  (m1_subset_1(C, k2_zfmisc_1(A, B)) & m1_subset_1(D, k2_zfmisc_1(A, B))) ) )  => m1_subset_1(k1_normform(A, B, C, D), k2_zfmisc_1(A, B))) ) ).
fof(commutativity_k1_normform, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  &  ( ( ~ (v1_xboole_0(B))  & v4_finsub_1(B))  &  (m1_subset_1(C, k2_zfmisc_1(A, B)) & m1_subset_1(D, k2_zfmisc_1(A, B))) ) )  => k1_normform(A, B, C, D)=k1_normform(A, B, D, C)) ) ).
fof(idempotence_k1_normform, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  &  ( ( ~ (v1_xboole_0(B))  & v4_finsub_1(B))  &  (m1_subset_1(C, k2_zfmisc_1(A, B)) & m1_subset_1(D, k2_zfmisc_1(A, B))) ) )  => k1_normform(A, B, C, C)=C) ) ).
fof(dt_k2_normform, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  &  ( ( ~ (v1_xboole_0(B))  & v4_finsub_1(B))  &  (m1_subset_1(C, k2_zfmisc_1(A, B)) & m1_subset_1(D, k2_zfmisc_1(A, B))) ) )  => m1_subset_1(k2_normform(A, B, C, D), k2_zfmisc_1(A, B))) ) ).
fof(commutativity_k2_normform, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  &  ( ( ~ (v1_xboole_0(B))  & v4_finsub_1(B))  &  (m1_subset_1(C, k2_zfmisc_1(A, B)) & m1_subset_1(D, k2_zfmisc_1(A, B))) ) )  => k2_normform(A, B, C, D)=k2_normform(A, B, D, C)) ) ).
fof(idempotence_k2_normform, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  &  ( ( ~ (v1_xboole_0(B))  & v4_finsub_1(B))  &  (m1_subset_1(C, k2_zfmisc_1(A, B)) & m1_subset_1(D, k2_zfmisc_1(A, B))) ) )  => k2_normform(A, B, C, C)=C) ) ).
fof(dt_k3_normform, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  &  ( ( ~ (v1_xboole_0(B))  & v4_finsub_1(B))  &  (m1_subset_1(C, k2_zfmisc_1(A, B)) & m1_subset_1(D, k2_zfmisc_1(A, B))) ) )  => m1_subset_1(k3_normform(A, B, C, D), k2_zfmisc_1(A, B))) ) ).
fof(dt_k4_normform, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  &  ( ( ~ (v1_xboole_0(B))  & v4_finsub_1(B))  &  (m1_subset_1(C, k2_zfmisc_1(A, B)) & m1_subset_1(D, k2_zfmisc_1(A, B))) ) )  => m1_subset_1(k4_normform(A, B, C, D), k2_zfmisc_1(A, B))) ) ).
fof(commutativity_k4_normform, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  &  ( ( ~ (v1_xboole_0(B))  & v4_finsub_1(B))  &  (m1_subset_1(C, k2_zfmisc_1(A, B)) & m1_subset_1(D, k2_zfmisc_1(A, B))) ) )  => k4_normform(A, B, C, D)=k4_normform(A, B, D, C)) ) ).
fof(dt_k5_normform, axiom,  (! [A] :  (v1_funct_1(k5_normform(A)) &  (v1_funct_2(k5_normform(A), k2_zfmisc_1(k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A))), k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A))) & m1_subset_1(k5_normform(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A))), k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)))))) ) ) ).
fof(dt_k6_normform, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(C, k5_finsub_1(A)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k2_zfmisc_1(k5_finsub_1(B), k5_finsub_1(B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_zfmisc_1(k5_finsub_1(B), k5_finsub_1(B)))))) ) ) )  => m1_subset_1(k6_normform(A, B, C, D), k2_zfmisc_1(k5_finsub_1(B), k5_finsub_1(B)))) ) ).
fof(dt_k7_normform, axiom,  (! [A] : m1_subset_1(k7_normform(A), k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A))))) ).
fof(dt_k8_normform, axiom,  (! [A] : m1_subset_1(k8_normform(A), k1_zfmisc_1(k5_finsub_1(k7_normform(A))))) ).
fof(dt_k9_normform, axiom,  (! [A, B] :  (m1_subset_1(B, k5_finsub_1(k7_normform(A))) => m2_subset_1(k9_normform(A, B), k5_finsub_1(k7_normform(A)), k8_normform(A))) ) ).
fof(dt_k10_normform, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k5_finsub_1(k7_normform(A))) & m1_subset_1(C, k5_finsub_1(k7_normform(A))))  => m1_subset_1(k10_normform(A, B, C), k5_finsub_1(k7_normform(A)))) ) ).
fof(dt_k11_normform, axiom,  (! [A] :  (v3_lattices(k11_normform(A)) & l3_lattices(k11_normform(A))) ) ).
fof(d8_normform, axiom,  (! [A] : k7_normform(A)=a_1_0_normform(A)) ).
fof(d9_normform, axiom,  (! [A] : k8_normform(A)=a_1_1_normform(A)) ).
fof(d10_normform, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k5_finsub_1(k7_normform(A))) => k9_normform(A, B)=a_2_0_normform(A, B)) ) ) ).
fof(d11_normform, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k5_finsub_1(k7_normform(A))) =>  (! [C] :  (m1_subset_1(C, k5_finsub_1(k7_normform(A))) => k10_normform(A, B, C)=k8_subset_1(k2_zfmisc_1(k5_finsub_1(A), k5_finsub_1(A)), k7_normform(A), a_3_0_normform(A, B, C))) ) ) ) ) ).
fof(fraenkel_a_1_0_normform, axiom,  (! [A, B] :  (r2_hidden(A, a_1_0_normform(B)) <=>  (? [C] :  (m1_subset_1(C, k2_zfmisc_1(k5_finsub_1(B), k5_finsub_1(B))) &  (A=C & r1_xboole_0(k2_domain_1(k5_finsub_1(B), k5_finsub_1(B), C), k3_domain_1(k5_finsub_1(B), k5_finsub_1(B), C))) ) ) ) ) ).
fof(fraenkel_a_1_1_normform, axiom,  (! [A, B] :  (r2_hidden(A, a_1_1_normform(B)) <=>  (? [C] :  (m1_subset_1(C, k5_finsub_1(k7_normform(B))) &  (A=C &  (! [D] :  (m2_subset_1(D, k2_zfmisc_1(k5_finsub_1(B), k5_finsub_1(B)), k7_normform(B)) =>  (! [E] :  (m2_subset_1(E, k2_zfmisc_1(k5_finsub_1(B), k5_finsub_1(B)), k7_normform(B)) =>  ( (r2_tarski(D, C) &  (r2_tarski(E, C) & r1_normform(k5_finsub_1(B), k5_finsub_1(B), D, E)) )  => D=E) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_normform, axiom,  (! [A, B, C] :  (m1_subset_1(C, k5_finsub_1(k7_normform(B))) =>  (r2_hidden(A, a_2_0_normform(B, C)) <=>  (? [D] :  (m2_subset_1(D, k2_zfmisc_1(k5_finsub_1(B), k5_finsub_1(B)), k7_normform(B)) &  (A=D &  (! [E] :  (m2_subset_1(E, k2_zfmisc_1(k5_finsub_1(B), k5_finsub_1(B)), k7_normform(B)) =>  ( (r2_tarski(E, C) & r1_normform(k5_finsub_1(B), k5_finsub_1(B), E, D))  <=> E=D) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_normform, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k5_finsub_1(k7_normform(B))) & m1_subset_1(D, k5_finsub_1(k7_normform(B))))  =>  (r2_hidden(A, a_3_0_normform(B, C, D)) <=>  (? [E, F] :  ( (m2_subset_1(E, k2_zfmisc_1(k5_finsub_1(B), k5_finsub_1(B)), k7_normform(B)) & m2_subset_1(F, k2_zfmisc_1(k5_finsub_1(B), k5_finsub_1(B)), k7_normform(B)))  &  (A=k1_normform(k5_finsub_1(B), k5_finsub_1(B), E, F) &  (r2_tarski(E, C) & r2_tarski(F, D)) ) ) ) ) ) ) ).
fof(rc1_normsp_0, axiom,  (? [A] :  (l1_normsp_0(A) & v1_normsp_0(A)) ) ).
fof(rc2_normsp_0, axiom,  (? [A] :  (l1_normsp_0(A) &  ( ~ (v2_struct_0(A))  & v1_normsp_0(A)) ) ) ).
fof(fc1_normsp_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_normsp_0(A))  &  (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) & v1_funct_1(B)) ) )  =>  (v1_relat_1(k3_normsp_0(A, B)) &  (v5_relat_1(k3_normsp_0(A, B), k1_numbers) & v1_funct_1(k3_normsp_0(A, B))) ) ) ) ).
fof(rc3_normsp_0, axiom,  (? [A] :  (l2_normsp_0(A) & v2_normsp_0(A)) ) ).
fof(rc4_normsp_0, axiom,  (? [A] :  (l2_normsp_0(A) &  ( ~ (v2_struct_0(A))  & v2_normsp_0(A)) ) ) ).
fof(rc5_normsp_0, axiom,  (? [A] :  (l2_normsp_0(A) &  ( ~ (v2_struct_0(A))  &  (v2_normsp_0(A) &  (v3_normsp_0(A) & v4_normsp_0(A)) ) ) ) ) ).
fof(fc2_normsp_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_normsp_0(A) & l2_normsp_0(A)) )  &  (v9_struct_0(B, A) & m1_subset_1(B, u1_struct_0(A))) )  =>  (v8_ordinal1(k2_normsp_0(A, B)) & v1_xreal_0(k2_normsp_0(A, B))) ) ) ).
fof(d1_normsp_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_normsp_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_normsp_0(A, B)=k3_funct_2(u1_struct_0(A), k1_numbers, u1_normsp_0(A), B)) ) ) ) ).
fof(d2_normsp_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_normsp_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) & v1_funct_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k3_normsp_0(A, B) <=>  (k9_xtuple_0(C)=k9_xtuple_0(B) &  (! [D] :  (r2_tarski(D, k9_xtuple_0(C)) => k1_funct_1(C, D)=k2_normsp_0(A, k7_partfun1(u1_struct_0(A), B, D))) ) ) ) ) ) ) ) ) ) ).
fof(d3_normsp_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_normsp_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (D=k4_normsp_0(A, B, C) <=>  (k9_xtuple_0(D)=k9_xtuple_0(C) &  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, k9_xtuple_0(D)) => k1_funct_1(D, E)=k2_normsp_0(B, k7_partfun1(u1_struct_0(B), C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_normsp_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_normsp_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (C=k5_normsp_0(A, B) <=>  (! [D] :  (v7_ordinal1(D) => k1_funct_1(C, D)=k2_normsp_0(A, k1_normsp_0(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(d5_normsp_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_normsp_0(A))  =>  (v3_normsp_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k2_normsp_0(A, B)=k5_numbers => B=k4_struct_0(A)) ) ) ) ) ) ).
fof(d6_normsp_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_normsp_0(A))  =>  (v4_normsp_0(A) <=> k2_normsp_0(A, k4_struct_0(A))=k5_numbers) ) ) ).
fof(dt_k1_normsp_0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  & v7_ordinal1(C)) )  => m1_subset_1(k1_normsp_0(A, B, C), u1_struct_0(A))) ) ).
fof(redefinition_k1_normsp_0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  & v7_ordinal1(C)) )  => k1_normsp_0(A, B, C)=k1_funct_1(B, C)) ) ).
fof(abstractness_v1_normsp_0, axiom,  (! [A] :  (l1_normsp_0(A) =>  (v1_normsp_0(A) => A=g1_normsp_0(u1_struct_0(A), u1_normsp_0(A))) ) ) ).
fof(dt_l1_normsp_0, axiom,  (! [A] :  (l1_normsp_0(A) => l1_struct_0(A)) ) ).
fof(existence_l1_normsp_0, axiom,  (? [A] : l1_normsp_0(A)) ).
fof(dt_g1_normsp_0, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_normsp_0(g1_normsp_0(A, B)) & l1_normsp_0(g1_normsp_0(A, B))) ) ) ).
fof(free_g1_normsp_0, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C, D] :  (g1_normsp_0(A, B)=g1_normsp_0(C, D) =>  (A=C & B=D) ) ) ) ) ).
fof(dt_u1_normsp_0, axiom,  (! [A] :  (l1_normsp_0(A) =>  (v1_funct_1(u1_normsp_0(A)) &  (v1_funct_2(u1_normsp_0(A), u1_struct_0(A), k1_numbers) & m1_subset_1(u1_normsp_0(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) ).
fof(dt_k2_normsp_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_normsp_0(A))  & m1_subset_1(B, u1_struct_0(A)))  => v1_xreal_0(k2_normsp_0(A, B))) ) ).
fof(dt_k3_normsp_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_normsp_0(A))  &  (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) & v1_funct_1(B)) ) )  =>  (v1_relat_1(k3_normsp_0(A, B)) & v1_funct_1(k3_normsp_0(A, B))) ) ) ).
fof(dt_k4_normsp_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_normsp_0(B))  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  =>  (v1_funct_1(k4_normsp_0(A, B, C)) & m1_subset_1(k4_normsp_0(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ).
fof(redefinition_k4_normsp_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_normsp_0(B))  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) )  => k4_normsp_0(A, B, C)=k3_normsp_0(B, C)) ) ).
fof(dt_k5_normsp_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_normsp_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (v1_funct_1(k5_normsp_0(A, B)) &  (v1_funct_2(k5_normsp_0(A, B), k4_ordinal1, k1_numbers) & m1_subset_1(k5_normsp_0(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(redefinition_k5_normsp_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_normsp_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => k5_normsp_0(A, B)=k3_normsp_0(A, B)) ) ).
fof(abstractness_v2_normsp_0, axiom,  (! [A] :  (l2_normsp_0(A) =>  (v2_normsp_0(A) => A=g2_normsp_0(u1_struct_0(A), u2_struct_0(A), u1_normsp_0(A))) ) ) ).
fof(dt_l2_normsp_0, axiom,  (! [A] :  (l2_normsp_0(A) =>  (l1_normsp_0(A) & l2_struct_0(A)) ) ) ).
fof(existence_l2_normsp_0, axiom,  (? [A] : l2_normsp_0(A)) ).
fof(dt_g2_normsp_0, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, A) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v2_normsp_0(g2_normsp_0(A, B, C)) & l2_normsp_0(g2_normsp_0(A, B, C))) ) ) ).
fof(free_g2_normsp_0, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, A) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D, E, F] :  (g2_normsp_0(A, B, C)=g2_normsp_0(D, E, F) =>  (A=D &  (B=E & C=F) ) ) ) ) ) ).
fof(rc1_normsp_1, axiom,  (? [A] :  (l1_normsp_1(A) & v1_normsp_1(A)) ) ).
fof(rc2_normsp_1, axiom,  (? [A] :  (l1_normsp_1(A) &  ( ~ (v2_struct_0(A))  & v1_normsp_1(A)) ) ) ).
fof(rc3_normsp_1, axiom,  (? [A] :  (l1_normsp_1(A) &  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_normsp_1(A) & v2_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_normsp_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  ( ~ (v3_xxreal_0(k2_normsp_0(A, B)))  & v1_xreal_0(k2_normsp_0(A, B))) ) ) ).
fof(d1_normsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_normsp_1(A))  =>  (v2_normsp_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (k2_normsp_0(A, k1_rlvect_1(A, B, D))=k3_xcmplx_0(k9_complex1(D), k2_normsp_0(A, B)) & r1_xxreal_0(k2_normsp_0(A, k1_algstr_0(A, B, C)), k2_xcmplx_0(k2_normsp_0(A, B), k2_normsp_0(A, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t1_normsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  => k2_normsp_0(A, k4_struct_0(A))=k5_numbers) ) ).
fof(t2_normsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_normsp_0(A, k4_algstr_0(A, B))=k2_normsp_0(A, B)) ) ) ) ).
fof(t3_normsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_xxreal_0(k2_normsp_0(A, k5_algstr_0(A, B, C)), k2_xcmplx_0(k2_normsp_0(A, B), k2_normsp_0(A, C)))) ) ) ) ) ) ).
fof(t4_normsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_xxreal_0(k5_numbers, k2_normsp_0(A, B))) ) ) ) ).
fof(t5_normsp_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) => r1_xxreal_0(k2_normsp_0(C, k3_rlvect_1(C, k1_rlvect_1(C, D, A), k1_rlvect_1(C, E, B))), k2_xcmplx_0(k3_xcmplx_0(k9_complex1(A), k2_normsp_0(C, D)), k3_xcmplx_0(k9_complex1(B), k2_normsp_0(C, E))))) ) ) ) ) ) ) ) ) ) ).
fof(t6_normsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k2_normsp_0(A, k5_algstr_0(A, B, C))=k5_numbers <=> B=C) ) ) ) ) ) ) ).
fof(t7_normsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_normsp_0(A, k5_algstr_0(A, B, C))=k2_normsp_0(A, k5_algstr_0(A, C, B))) ) ) ) ) ) ).
fof(t8_normsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_xxreal_0(k6_xcmplx_0(k2_normsp_0(A, B), k2_normsp_0(A, C)), k2_normsp_0(A, k5_algstr_0(A, B, C)))) ) ) ) ) ) ).
fof(t9_normsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k2_normsp_0(A, B), k2_normsp_0(A, C))), k2_normsp_0(A, k5_algstr_0(A, B, C)))) ) ) ) ) ) ).
fof(t10_normsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_xxreal_0(k2_normsp_0(A, k5_algstr_0(A, B, D)), k2_xcmplx_0(k2_normsp_0(A, k5_algstr_0(A, B, C)), k2_normsp_0(A, k5_algstr_0(A, C, D))))) ) ) ) ) ) ) ) ).
fof(t11_normsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  & k2_normsp_0(A, k5_algstr_0(A, B, C))=k5_numbers) ) ) ) ) ) ) ) ).
fof(t12_normsp_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_struct_0(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  <=>  (k9_xtuple_0(A)=k4_ordinal1 &  (! [D] :  (r2_tarski(D, k4_ordinal1) => m1_subset_1(k1_funct_1(A, D), u1_struct_0(B))) ) ) ) ) ) ) ) ) ) ).
fof(t13_normsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  & k10_xtuple_0(C)=k6_domain_1(u1_struct_0(A), B)) ) ) ) ) ) ).
fof(t14_normsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ~ ( ( (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (! [D] :  (v7_ordinal1(D) => k1_normsp_0(A, B, D)=C) ) ) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ (k10_xtuple_0(B)=k6_domain_1(u1_struct_0(A), C)) ) ) ) ) ) ) ) ) ).
fof(t15_normsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & k10_xtuple_0(B)=k6_domain_1(u1_struct_0(A), C)) )  =>  (! [C] :  (v7_ordinal1(C) => k1_normsp_0(A, B, C)=k1_normsp_0(A, B, k1_nat_1(C, 1))) ) ) ) ) ) ) ).
fof(t16_normsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (! [C] :  (v7_ordinal1(C) => k1_normsp_0(A, B, C)=k1_normsp_0(A, B, k1_nat_1(C, 1))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k1_normsp_0(A, B, C)=k1_normsp_0(A, B, k2_xcmplx_0(C, D))) ) ) ) ) ) ) ) ) ).
fof(t17_normsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k1_normsp_0(A, B, C)=k1_normsp_0(A, B, k2_xcmplx_0(C, D))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k1_normsp_0(A, B, C)=k1_normsp_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t18_normsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ~ ( ( (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k1_normsp_0(A, B, C)=k1_normsp_0(A, B, D)) ) ) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (! [D] :  (v7_ordinal1(D) => k1_normsp_0(A, B, D)=C) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_normsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (D=k1_normsp_1(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) => k1_normsp_0(A, D, E)=k1_algstr_0(A, k1_normsp_0(A, B, E), k1_normsp_0(A, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_normsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (D=k2_normsp_1(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) => k1_normsp_0(A, D, E)=k5_algstr_0(A, k1_normsp_0(A, B, E), k1_normsp_0(A, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_normsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (D=k3_normsp_1(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) => k1_normsp_0(A, D, E)=k5_algstr_0(A, k1_normsp_0(A, B, E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_normsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (D=k4_normsp_1(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) => k1_normsp_0(A, D, E)=k1_rlvect_1(A, k1_normsp_0(A, B, E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_normsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v3_normsp_1(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v7_ordinal1(E) =>  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(E, F) & r1_xxreal_0(D, k2_normsp_0(A, k5_algstr_0(A, k1_normsp_0(A, B, F), C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_normsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v3_normsp_1(B, A) & v3_normsp_1(C, A))  => v3_normsp_1(k1_normsp_1(A, B, C), A)) ) ) ) ) ) ) ).
fof(t20_normsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v3_normsp_1(B, A) & v3_normsp_1(C, A))  => v3_normsp_1(k2_normsp_1(A, B, C), A)) ) ) ) ) ) ) ).
fof(t21_normsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v3_normsp_1(C, A) => v3_normsp_1(k3_normsp_1(A, C, B), A)) ) ) ) ) ) ) ).
fof(t22_normsp_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  (v3_normsp_1(C, B) => v3_normsp_1(k4_normsp_1(B, C, A), B)) ) ) ) ) ) ) ).
fof(t23_normsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v3_normsp_1(B, A) => v2_comseq_2(k5_normsp_0(A, B))) ) ) ) ) ).
fof(d7_normsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v3_normsp_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (C=k5_normsp_1(A, B) <=>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v7_ordinal1(E) =>  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(E, F) & r1_xxreal_0(D, k2_normsp_0(A, k5_algstr_0(A, k1_normsp_0(A, B, F), C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_normsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v3_normsp_1(C, A) & k5_normsp_1(A, C)=B)  =>  (v2_comseq_2(k5_normsp_0(A, k3_normsp_1(A, C, B))) & k1_seq_2(k5_normsp_0(A, k3_normsp_1(A, C, B)))=k5_numbers) ) ) ) ) ) ) ) ).
fof(t25_normsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v3_normsp_1(B, A) & v3_normsp_1(C, A))  => k5_normsp_1(A, k1_normsp_1(A, B, C))=k3_rlvect_1(A, k5_normsp_1(A, B), k5_normsp_1(A, C))) ) ) ) ) ) ) ).
fof(t26_normsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v3_normsp_1(B, A) & v3_normsp_1(C, A))  => k5_normsp_1(A, k2_normsp_1(A, B, C))=k5_algstr_0(A, k5_normsp_1(A, B), k5_normsp_1(A, C))) ) ) ) ) ) ) ).
fof(t27_normsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v3_normsp_1(C, A) => k5_normsp_1(A, k3_normsp_1(A, C, B))=k5_algstr_0(A, k5_normsp_1(A, C), B)) ) ) ) ) ) ) ).
fof(t28_normsp_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  (v3_normsp_1(C, B) => k5_normsp_1(B, k4_normsp_1(B, C, A))=k1_rlvect_1(B, k5_normsp_1(B, C), A)) ) ) ) ) ) ) ).
fof(abstractness_v1_normsp_1, axiom,  (! [A] :  (l1_normsp_1(A) =>  (v1_normsp_1(A) => A=g1_normsp_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_rlvect_1(A), u1_normsp_0(A))) ) ) ).
fof(dt_l1_normsp_1, axiom,  (! [A] :  (l1_normsp_1(A) =>  (l1_rlvect_1(A) & l2_normsp_0(A)) ) ) ).
fof(existence_l1_normsp_1, axiom,  (? [A] : l1_normsp_1(A)) ).
fof(dt_g1_normsp_1, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(B, A) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k1_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, A), A)))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, A, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) )  =>  (v1_normsp_1(g1_normsp_1(A, B, C, D, E)) & l1_normsp_1(g1_normsp_1(A, B, C, D, E))) ) ) ).
fof(free_g1_normsp_1, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(B, A) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k1_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, A), A)))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, A, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) )  =>  (! [F, G, H, I, J] :  (g1_normsp_1(A, B, C, D, E)=g1_normsp_1(F, G, H, I, J) =>  (A=F &  (B=G &  (C=H &  (D=I & E=J) ) ) ) ) ) ) ) ).
fof(dt_k1_normsp_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (v1_funct_1(k1_normsp_1(A, B, C)) &  (v1_funct_2(k1_normsp_1(A, B, C), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k1_normsp_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(dt_k2_normsp_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (v1_funct_1(k2_normsp_1(A, B, C)) &  (v1_funct_2(k2_normsp_1(A, B, C), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k2_normsp_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(dt_k3_normsp_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  & m1_subset_1(C, u1_struct_0(A))) )  =>  (v1_funct_1(k3_normsp_1(A, B, C)) &  (v1_funct_2(k3_normsp_1(A, B, C), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k3_normsp_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(dt_k4_normsp_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  & v1_xreal_0(C)) )  =>  (v1_funct_1(k4_normsp_1(A, B, C)) &  (v1_funct_2(k4_normsp_1(A, B, C), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k4_normsp_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(dt_k5_normsp_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => m1_subset_1(k5_normsp_1(A, B), u1_struct_0(A))) ) ).
fof(fc1_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k3_normsp_2(A)))  &  (v2_pre_topc(k3_normsp_2(A)) & v4_frechet(k3_normsp_2(A))) ) ) ) ).
fof(fc2_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k4_normsp_2(A)))  &  (v2_pre_topc(k4_normsp_2(A)) &  (v13_algstr_0(k4_normsp_2(A)) &  (v2_rlvect_1(k4_normsp_2(A)) &  (v3_rlvect_1(k4_normsp_2(A)) &  (v4_rlvect_1(k4_normsp_2(A)) &  (v5_rlvect_1(k4_normsp_2(A)) &  (v6_rlvect_1(k4_normsp_2(A)) &  (v7_rlvect_1(k4_normsp_2(A)) &  (v8_rlvect_1(k4_normsp_2(A)) &  (v5_rltopsp1(k4_normsp_2(A)) &  (v6_rltopsp1(k4_normsp_2(A)) & v7_rltopsp1(k4_normsp_2(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc3_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k4_normsp_2(A)))  &  (v8_pre_topc(k4_normsp_2(A)) & v5_rltopsp1(k4_normsp_2(A))) ) ) ) ).
fof(fc4_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k4_normsp_2(A)))  &  (v4_yellow_8(k4_normsp_2(A)) & v5_rltopsp1(k4_normsp_2(A))) ) ) ) ).
fof(fc5_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k4_normsp_2(A)))  &  (v1_frechet(k4_normsp_2(A)) & v5_rltopsp1(k4_normsp_2(A))) ) ) ) ).
fof(fc6_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k4_normsp_2(A)))  &  (v3_frechet(k4_normsp_2(A)) & v5_rltopsp1(k4_normsp_2(A))) ) ) ) ).
fof(fc7_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k4_normsp_2(A)))  &  (v4_frechet(k4_normsp_2(A)) & v5_rltopsp1(k4_normsp_2(A))) ) ) ) ).
fof(t1_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(u1_struct_0(A)))))) )  =>  ~ ( (v4_tbsp_1(A) &  (k5_setfam_1(u1_struct_0(A), k2_relset_1(k9_setfam_1(u1_struct_0(A)), B))=u1_struct_0(A) &  ( (! [C] :  (v7_ordinal1(C) => r2_tarski(k3_subset_1(u1_struct_0(A), k8_nat_1(k9_setfam_1(u1_struct_0(A)), B, C)), k2_pcomps_1(A))) )  &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  & r1_tarski(k8_metric_1(A, E, D), k8_nat_1(k9_setfam_1(u1_struct_0(A)), B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers)))) )  =>  (B=k1_normsp_2(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_binop_1(u1_struct_0(A), u1_struct_0(A), k1_numbers, B, C, D)=k2_normsp_0(A, k5_algstr_0(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(d2_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  => k2_normsp_2(A)=g1_metric_1(u1_struct_0(A), k1_normsp_2(A))) ) ).
fof(t4_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(k2_normsp_2(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_normsp_2(A)))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_normsp_2(A))) =>  ( (r1_funct_2(k4_ordinal1, u1_struct_0(A), k4_ordinal1, u1_struct_0(k2_normsp_2(A)), B, C) & D=E)  =>  (r1_metric_6(k2_normsp_2(A), C, E) <=>  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(F, k5_numbers))  &  (! [G] :  (v7_ordinal1(G) =>  (? [H] :  (v7_ordinal1(H) &  (r1_xxreal_0(G, H) & r1_xxreal_0(F, k2_normsp_0(A, k5_algstr_0(A, k1_normsp_0(A, B, H), D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(k2_normsp_2(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_normsp_2(A)))))) )  =>  (r1_funct_2(k4_ordinal1, u1_struct_0(A), k4_ordinal1, u1_struct_0(k2_normsp_2(A)), B, C) =>  (v2_tbsp_1(C, k2_normsp_2(A)) <=> v3_normsp_1(B, A)) ) ) ) ) ) ) ) ).
fof(t6_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(k2_normsp_2(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_normsp_2(A)))))) )  =>  ( (r1_funct_2(k4_ordinal1, u1_struct_0(A), k4_ordinal1, u1_struct_0(k2_normsp_2(A)), B, C) & v2_tbsp_1(C, k2_normsp_2(A)))  => k1_tbsp_1(k2_normsp_2(A), C)=k5_normsp_1(A, B)) ) ) ) ) ) ) ).
fof(d3_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  => k3_normsp_2(A)=k3_pcomps_1(k2_normsp_2(A))) ) ).
fof(t10_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v8_pre_topc(A) & l1_pre_topc(A)) ) )  =>  (v6_waybel_3(A) => v2_yellow_8(A)) ) ) ).
fof(t11_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  => v4_frechet(k3_normsp_2(A))) ) ).
fof(t12_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(k3_normsp_2(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k3_normsp_2(A)))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k3_normsp_2(A))) =>  ( (r1_funct_2(k4_ordinal1, u1_struct_0(A), k4_ordinal1, u1_struct_0(k3_normsp_2(A)), B, C) & D=E)  =>  (r1_frechet(k3_normsp_2(A), C, E) <=>  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(F, k5_numbers))  &  (! [G] :  (v7_ordinal1(G) =>  (? [H] :  (v7_ordinal1(H) &  (r1_xxreal_0(G, H) & r1_xxreal_0(F, k2_normsp_0(A, k5_algstr_0(A, k1_normsp_0(A, B, H), D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(k3_normsp_2(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k3_normsp_2(A)))))) )  =>  (r1_funct_2(k4_ordinal1, u1_struct_0(A), k4_ordinal1, u1_struct_0(k3_normsp_2(A)), B, C) =>  (v2_frechet(C, k3_normsp_2(A)) <=> v3_normsp_1(B, A)) ) ) ) ) ) ) ) ).
fof(t14_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(k3_normsp_2(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k3_normsp_2(A)))))) )  =>  ( (r1_funct_2(k4_ordinal1, u1_struct_0(A), k4_ordinal1, u1_struct_0(k3_normsp_2(A)), B, C) & v2_frechet(C, k3_normsp_2(A)))  =>  (k2_frechet(k3_normsp_2(A), C)=k6_domain_1(u1_struct_0(A), k5_normsp_1(A, B)) & k2_frechet2(k3_normsp_2(A), C)=k5_normsp_1(A, B)) ) ) ) ) ) ) ) ).
fof(t15_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_normsp_2(A)))) =>  (B=C =>  (v2_nfcont_1(B, A) <=> v4_pre_topc(C, k3_normsp_2(A))) ) ) ) ) ) ) ) ).
fof(t16_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_normsp_2(A)))) =>  (B=C =>  (v3_nfcont_1(B, A) <=> v3_pre_topc(C, k3_normsp_2(A))) ) ) ) ) ) ) ) ).
fof(t17_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_normsp_2(A)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k3_normsp_2(A))) =>  ( (B=C & D=E)  =>  (m1_nfcont_1(B, A, D) <=> m1_connsp_2(C, k3_normsp_2(A), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k3_normsp_2(A)), u1_struct_0(k3_normsp_2(B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_normsp_2(A)), u1_struct_0(k3_normsp_2(B)))))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k3_normsp_2(A))) =>  ( (C=D & E=F)  =>  (r1_nfcont_1(A, B, C, E) <=> r1_tmap_1(k3_normsp_2(A), k3_normsp_2(B), D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k3_normsp_2(A)), u1_struct_0(k3_normsp_2(B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_normsp_2(A)), u1_struct_0(k3_normsp_2(B)))))) )  =>  (C=D =>  (r3_nfcont_1(A, B, C, u1_struct_0(A)) <=> v5_pre_topc(D, k3_normsp_2(A), k3_normsp_2(B))) ) ) ) ) ) ) ) ) ) ).
fof(d4_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v5_rltopsp1(B) & l1_rltopsp1(B)) )  =>  (B=k4_normsp_2(A) <=>  (u1_struct_0(B)=u1_struct_0(A) &  (k4_struct_0(B)=k4_struct_0(A) &  (r1_funct_2(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(B), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A), u1_algstr_0(B), u1_algstr_0(A)) &  (r1_funct_2(k2_zfmisc_1(k1_numbers, u1_struct_0(B)), u1_struct_0(B), k2_zfmisc_1(k1_numbers, u1_struct_0(A)), u1_struct_0(A), u1_rlvect_1(B), u1_rlvect_1(A)) & u1_pre_topc(B)=u1_pre_topc(k3_normsp_2(A))) ) ) ) ) ) ) ) ) ).
fof(t20_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_normsp_2(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k4_normsp_2(A)))) =>  (B=C =>  (v3_pre_topc(B, k3_normsp_2(A)) <=> v3_pre_topc(C, k4_normsp_2(A))) ) ) ) ) ) ) ) ).
fof(t21_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_normsp_2(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k4_normsp_2(A)))) =>  (B=C =>  (v4_pre_topc(B, k3_normsp_2(A)) <=> v4_pre_topc(C, k4_normsp_2(A))) ) ) ) ) ) ) ) ).
fof(t25_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_normsp_2(A))))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_normsp_2(A))))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k3_normsp_2(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k4_normsp_2(A))) =>  ( (B=C & D=E)  =>  ( (v1_yellow_8(C, k4_normsp_2(A), E) &  (v1_tops_2(C, k4_normsp_2(A)) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_normsp_2(A)))))) )  <=>  (v1_yellow_8(B, k3_normsp_2(A), D) &  (v1_tops_2(B, k3_normsp_2(A)) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_normsp_2(A)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k3_normsp_2(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k3_normsp_2(A)))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(k4_normsp_2(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k4_normsp_2(A)))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k3_normsp_2(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k4_normsp_2(A))) =>  ( (r1_funct_2(k4_ordinal1, u1_struct_0(k3_normsp_2(A)), k4_ordinal1, u1_struct_0(k4_normsp_2(A)), B, C) & D=E)  =>  (r1_frechet(k4_normsp_2(A), C, E) <=> r1_frechet(k3_normsp_2(A), B, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k3_normsp_2(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k3_normsp_2(A)))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(k4_normsp_2(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k4_normsp_2(A)))))) )  =>  (r1_funct_2(k4_ordinal1, u1_struct_0(k3_normsp_2(A)), k4_ordinal1, u1_struct_0(k4_normsp_2(A)), B, C) =>  (v2_frechet(C, k4_normsp_2(A)) <=> v2_frechet(B, k3_normsp_2(A))) ) ) ) ) ) ) ) ).
fof(t28_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k3_normsp_2(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k3_normsp_2(A)))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(k4_normsp_2(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k4_normsp_2(A)))))) )  =>  ( (r1_funct_2(k4_ordinal1, u1_struct_0(k3_normsp_2(A)), k4_ordinal1, u1_struct_0(k4_normsp_2(A)), B, C) & v2_frechet(C, k4_normsp_2(A)))  =>  (k2_frechet(k3_normsp_2(A), B)=k2_frechet(k4_normsp_2(A), C) & k2_frechet2(k3_normsp_2(A), B)=k2_frechet2(k4_normsp_2(A), C)) ) ) ) ) ) ) ) ).
fof(t29_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(k4_normsp_2(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k4_normsp_2(A)))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k4_normsp_2(A))) =>  ( (r1_funct_2(k4_ordinal1, u1_struct_0(A), k4_ordinal1, u1_struct_0(k4_normsp_2(A)), B, C) & D=E)  =>  (r1_frechet(k4_normsp_2(A), C, E) <=>  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(F, k5_numbers))  &  (! [G] :  (v7_ordinal1(G) =>  (? [H] :  (v7_ordinal1(H) &  (r1_xxreal_0(G, H) & r1_xxreal_0(F, k2_normsp_0(A, k5_algstr_0(A, k1_normsp_0(A, B, H), D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(k4_normsp_2(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k4_normsp_2(A)))))) )  =>  (r1_funct_2(k4_ordinal1, u1_struct_0(A), k4_ordinal1, u1_struct_0(k4_normsp_2(A)), B, C) =>  (v2_frechet(C, k4_normsp_2(A)) <=> v3_normsp_1(B, A)) ) ) ) ) ) ) ) ).
fof(t31_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(k4_normsp_2(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k4_normsp_2(A)))))) )  =>  ( (r1_funct_2(k4_ordinal1, u1_struct_0(A), k4_ordinal1, u1_struct_0(k4_normsp_2(A)), B, C) & v2_frechet(C, k4_normsp_2(A)))  =>  (k2_frechet(k4_normsp_2(A), C)=k6_domain_1(u1_struct_0(A), k5_normsp_1(A, B)) & k2_frechet2(k4_normsp_2(A), C)=k5_normsp_1(A, B)) ) ) ) ) ) ) ) ).
fof(t32_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k4_normsp_2(A)))) =>  (B=C =>  (v2_nfcont_1(B, A) <=> v4_pre_topc(C, k4_normsp_2(A))) ) ) ) ) ) ) ) ).
fof(t33_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k4_normsp_2(A)))) =>  (B=C =>  (v3_nfcont_1(B, A) <=> v3_pre_topc(C, k4_normsp_2(A))) ) ) ) ) ) ) ) ).
fof(t34_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_normsp_2(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k4_normsp_2(A)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k3_normsp_2(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k4_normsp_2(A))) =>  ( (B=C & D=E)  =>  (m1_connsp_2(B, k3_normsp_2(A), D) <=> m1_connsp_2(C, k4_normsp_2(A), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k3_normsp_2(A)), u1_struct_0(k3_normsp_2(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_normsp_2(A)), u1_struct_0(k3_normsp_2(B)))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k4_normsp_2(A)), u1_struct_0(k4_normsp_2(B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_normsp_2(A)), u1_struct_0(k4_normsp_2(B)))))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k3_normsp_2(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k4_normsp_2(A))) =>  ( (r1_funct_2(u1_struct_0(k3_normsp_2(A)), u1_struct_0(k3_normsp_2(B)), u1_struct_0(k4_normsp_2(A)), u1_struct_0(k4_normsp_2(B)), C, D) & E=F)  =>  (r1_tmap_1(k3_normsp_2(A), k3_normsp_2(B), C, E) <=> r1_tmap_1(k4_normsp_2(A), k4_normsp_2(B), D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k3_normsp_2(A)), u1_struct_0(k3_normsp_2(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_normsp_2(A)), u1_struct_0(k3_normsp_2(B)))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k4_normsp_2(A)), u1_struct_0(k4_normsp_2(B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_normsp_2(A)), u1_struct_0(k4_normsp_2(B)))))) )  =>  (r1_funct_2(u1_struct_0(k3_normsp_2(A)), u1_struct_0(k3_normsp_2(B)), u1_struct_0(k4_normsp_2(A)), u1_struct_0(k4_normsp_2(B)), C, D) =>  (v5_pre_topc(C, k3_normsp_2(A), k3_normsp_2(B)) <=> v5_pre_topc(D, k4_normsp_2(A), k4_normsp_2(B))) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k1_normsp_2(A)) &  (v1_funct_2(k1_normsp_2(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers) & m1_subset_1(k1_normsp_2(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers)))) ) ) ) ).
fof(dt_k2_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k2_normsp_2(A)))  &  (v6_metric_1(k2_normsp_2(A)) &  (v7_metric_1(k2_normsp_2(A)) &  (v8_metric_1(k2_normsp_2(A)) &  (v9_metric_1(k2_normsp_2(A)) & l1_metric_1(k2_normsp_2(A))) ) ) ) ) ) ) ).
fof(dt_k3_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k3_normsp_2(A)))  &  (v2_pre_topc(k3_normsp_2(A)) & l1_pre_topc(k3_normsp_2(A))) ) ) ) ).
fof(dt_k4_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k4_normsp_2(A)))  &  (v5_rltopsp1(k4_normsp_2(A)) & l1_rltopsp1(k4_normsp_2(A))) ) ) ) ).
fof(t2_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_normsp_2(A))) =>  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (D=B & k8_metric_1(k2_normsp_2(A), B, C)=a_3_0_normsp_2(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t3_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_normsp_2(A))) =>  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (D=B & k9_metric_1(k2_normsp_2(A), B, C)=a_3_1_normsp_2(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t7_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k3_normsp_2(A)))) =>  (v3_pre_topc(B, k3_normsp_2(A)) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r2_tarski(C, B) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  & r1_tarski(a_3_2_normsp_2(A, C, D), B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) =>  (v3_pre_topc(a_3_2_normsp_2(A, B, C), k3_normsp_2(A)) & m1_subset_1(a_3_2_normsp_2(A, B, C), k1_zfmisc_1(u1_struct_0(k3_normsp_2(A))))) ) ) ) ) ) ) ).
fof(t9_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) =>  (v4_pre_topc(a_3_3_normsp_2(A, B, C), k3_normsp_2(A)) & m1_subset_1(a_3_3_normsp_2(A, B, C), k1_zfmisc_1(u1_struct_0(k3_normsp_2(A))))) ) ) ) ) ) ) ).
fof(t22_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k4_normsp_2(A)))) =>  (v3_pre_topc(B, k4_normsp_2(A)) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r2_tarski(C, B) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  & r1_tarski(a_3_2_normsp_2(A, C, D), B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k4_normsp_2(A)))) =>  (D=a_3_2_normsp_2(A, B, C) => v3_pre_topc(D, k4_normsp_2(A))) ) ) ) ) ) ) ) ) ).
fof(t24_normsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k3_normsp_2(A)))) =>  (D=a_3_3_normsp_2(A, B, C) => v4_pre_topc(D, k3_normsp_2(A))) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_normsp_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_xreal_0(C) & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_0_normsp_2(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E &  ~ (r1_xxreal_0(C, k2_normsp_0(B, k5_algstr_0(B, D, E)))) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_normsp_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_xreal_0(C) & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_1_normsp_2(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E & r1_xxreal_0(k2_normsp_0(B, k5_algstr_0(B, D, E)), C)) ) ) ) ) ) ).
fof(fraenkel_a_3_2_normsp_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_2_normsp_2(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E &  ~ (r1_xxreal_0(D, k2_normsp_0(B, k5_algstr_0(B, C, E)))) ) ) ) ) ) ) ).
fof(fraenkel_a_3_3_normsp_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_3_normsp_2(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E & r1_xxreal_0(k2_normsp_0(B, k5_algstr_0(B, C, E)), D)) ) ) ) ) ) ).
fof(rc1_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  (v2_nfcont_1(B, A) & v3_nfcont_1(B, A)) ) ) ) ) ).
fof(fc1_normsp_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (v2_nfcont_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v3_nfcont_1(k3_subset_1(u1_struct_0(A), B), A)) ) ).
fof(fc2_normsp_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (v3_nfcont_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v2_nfcont_1(k3_subset_1(u1_struct_0(A), B), A)) ) ).
fof(fc3_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  => v2_nfcont_1(k2_struct_0(A), A)) ) ).
fof(fc4_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  => v2_nfcont_1(k1_struct_0(A), A)) ) ).
fof(fc5_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  => v3_nfcont_1(k2_struct_0(A), A)) ) ).
fof(fc6_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  => v3_nfcont_1(k1_struct_0(A), A)) ) ).
fof(fc7_normsp_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v2_nfcont_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  (v2_nfcont_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  => v2_nfcont_1(k3_xboole_0(B, C), A)) ) ).
fof(fc8_normsp_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v2_nfcont_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  (v2_nfcont_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  => v2_nfcont_1(k2_xboole_0(B, C), A)) ) ).
fof(fc9_normsp_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v3_nfcont_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  (v3_nfcont_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  => v3_nfcont_1(k3_xboole_0(B, C), A)) ) ).
fof(fc10_normsp_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v3_nfcont_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  (v3_nfcont_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  => v3_nfcont_1(k2_xboole_0(B, C), A)) ) ).
fof(fc11_normsp_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => v2_nfcont_1(k1_normsp_3(A, B), A)) ) ).
fof(fc12_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  => v1_normsp_3(k2_struct_0(A), A)) ) ).
fof(rc2_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  (v2_nfcont_1(B, A) &  (v3_nfcont_1(B, A) & v1_normsp_3(B, A)) ) ) ) ) ) ).
fof(fc13_normsp_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) )  =>  ~ (v1_xboole_0(k8_relat_1(C, k6_domain_1(u1_struct_0(B), k4_struct_0(B))))) ) ) ).
fof(cc1_normsp_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) =>  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & v3_normsp_3(C, A, B)) ) ) )  =>  (v1_funct_1(C) &  (v2_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v2_funct_2(C, u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) & v1_lopban_1(C, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(cc2_normsp_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) =>  ( (v1_funct_1(C) &  (v2_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v2_funct_2(C, u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) & v1_lopban_1(C, A, B)) ) ) ) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & v3_normsp_3(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(cc3_normsp_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) =>  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & v4_normsp_3(C, A, B)) ) ) )  =>  (v1_funct_1(C) &  (v2_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v2_funct_2(C, u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) & v1_lopban_1(C, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(fc14_normsp_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_rlsub_1(B, A) & m1_subset_1(C, u1_struct_0(A))) )  =>  ( ~ (v1_xboole_0(k15_normsp_3(A, B, C)))  & v3_xxreal_2(k15_normsp_3(A, B, C))) ) ) ).
fof(fc15_normsp_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ( ~ (v2_struct_0(k18_normsp_3(A, B)))  &  (v3_normsp_0(k18_normsp_3(A, B)) &  (v4_normsp_0(k18_normsp_3(A, B)) & v2_normsp_1(k18_normsp_3(A, B))) ) ) ) ) ).
fof(fc16_normsp_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ( ~ (v2_struct_0(k18_normsp_3(A, B)))  &  (v13_algstr_0(k18_normsp_3(A, B)) &  (v2_rlvect_1(k18_normsp_3(A, B)) &  (v3_rlvect_1(k18_normsp_3(A, B)) &  (v4_rlvect_1(k18_normsp_3(A, B)) &  (v5_rlvect_1(k18_normsp_3(A, B)) &  (v6_rlvect_1(k18_normsp_3(A, B)) &  (v7_rlvect_1(k18_normsp_3(A, B)) &  (v8_rlvect_1(k18_normsp_3(A, B)) &  (v3_normsp_0(k18_normsp_3(A, B)) &  (v4_normsp_0(k18_normsp_3(A, B)) & v2_normsp_1(k18_normsp_3(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_nfcont_1(B, A) <=> v3_nfcont_1(k3_subset_1(u1_struct_0(A), B), A)) ) ) ) ) ).
fof(t2_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_nfcont_1(B, A) <=> v2_nfcont_1(k3_subset_1(u1_struct_0(A), B), A)) ) ) ) ) ).
fof(d1_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (C=k1_normsp_3(A, B) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k4_normsp_2(A)))) &  (D=B & C=k2_pre_topc(k4_normsp_2(A), D)) ) ) ) ) ) ) ) ) ) ).
fof(t3_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k4_normsp_2(A)))) =>  (B=C => k1_normsp_3(A, B)=k2_pre_topc(k4_normsp_2(A), C)) ) ) ) ) ) ) ).
fof(t4_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(B, k1_normsp_3(A, B))) ) ) ) ).
fof(t5_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (r2_hidden(C, u1_struct_0(A)) =>  (r2_hidden(C, k1_normsp_3(A, B)) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v3_nfcont_1(D, A) &  (r2_hidden(C, D) & r1_xboole_0(D, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (r2_hidden(C, k1_normsp_3(A, B)) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  &  (r1_tarski(k2_relset_1(u1_struct_0(A), D), B) &  (v3_normsp_1(D, A) & k5_normsp_1(A, D)=C) ) ) ) ) ) ) ) ) ) ).
fof(t7_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) &  ( (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(D, C) <=>  (v2_nfcont_1(D, A) & r1_tarski(B, D)) ) ) )  & k1_normsp_3(A, B)=k6_setfam_1(u1_struct_0(A), C)) ) ) ) ) ) ) ).
fof(t8_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(B, C) => r1_tarski(k1_normsp_3(A, B), k1_normsp_3(A, C))) ) ) ) ) ) ) ).
fof(t9_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k1_normsp_3(A, k4_subset_1(u1_struct_0(A), B, C))=k4_subset_1(u1_struct_0(A), k1_normsp_3(A, B), k1_normsp_3(A, C))) ) ) ) ) ) ).
fof(t10_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k1_normsp_3(A, k9_subset_1(u1_struct_0(A), B, C)), k9_subset_1(u1_struct_0(A), k1_normsp_3(A, B), k1_normsp_3(A, C)))) ) ) ) ) ) ).
fof(t11_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_nfcont_1(B, A) <=> k1_normsp_3(A, B)=B) ) ) ) ) ).
fof(t12_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_nfcont_1(B, A) <=> k1_normsp_3(A, k7_subset_1(u1_struct_0(A), k2_struct_0(A), B))=k7_subset_1(u1_struct_0(A), k2_struct_0(A), B)) ) ) ) ) ).
fof(t13_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (C=u1_struct_0(B) => v1_rlsub_1(k1_normsp_3(A, C), A)) ) ) ) ) ) ) ).
fof(d2_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_normsp_3(B, A) <=> k1_normsp_3(A, B)=k2_struct_0(A)) ) ) ) ) ).
fof(t14_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_normsp_3(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  &  (r1_tarski(k2_relset_1(u1_struct_0(A), D), B) &  (v3_normsp_1(D, A) & k5_normsp_1(A, D)=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k4_normsp_2(A)))) =>  (B=C =>  (v1_normsp_3(B, A) <=> v1_tops_1(C, k4_normsp_2(A))) ) ) ) ) ) ) ) ).
fof(t16_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_normsp_3(B, A) & r1_tarski(B, C))  => v1_normsp_3(C, A)) ) ) ) ) ) ) ).
fof(t17_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_normsp_3(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( ~ (C=k1_xboole_0)  &  (v3_nfcont_1(C, A) & r1_xboole_0(B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t18_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_normsp_3(B, A) & v3_nfcont_1(C, A))  => k1_normsp_3(A, C)=k1_normsp_3(A, k9_subset_1(u1_struct_0(A), C, B))) ) ) ) ) ) ) ).
fof(t19_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_normsp_3(B, A) &  (v1_normsp_3(C, A) & v3_nfcont_1(C, A)) )  => v1_normsp_3(k9_subset_1(u1_struct_0(A), B, C), A)) ) ) ) ) ) ) ).
fof(t20_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v1_normsp_3(B, A) & v1_xboole_0(B)) ) ) ) ) ) ).
fof(d3_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (v2_normsp_3(A) <=> v7_topgen_1(k4_normsp_2(A))) ) ) ).
fof(t21_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (v2_normsp_3(A) <=>  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  & v1_normsp_3(k2_relset_1(u1_struct_0(A), B), A)) ) ) ) ) ).
fof(t22_normsp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_xxreal_0(k5_numbers, B) &  (! [D] :  (v1_xreal_0(D) =>  ( ~ (r1_xxreal_0(D, k5_numbers))  => r1_xxreal_0(A, k2_xcmplx_0(C, k3_xcmplx_0(B, D)))) ) ) )  => r1_xxreal_0(A, C)) ) ) ) ) ) ) ).
fof(t23_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (! [D] :  (v7_ordinal1(D) => k1_normsp_0(A, C, D)=B) )  =>  (v3_normsp_1(C, A) & k5_normsp_1(A, C)=B) ) ) ) ) ) ) ) ).
fof(t24_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v2_nfcont_1(k6_domain_1(u1_struct_0(A), B), A)) ) ) ) ).
fof(t25_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v2_nfcont_1(B, A) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_tarski(E, B) & r1_xxreal_0(k2_normsp_0(A, k5_algstr_0(A, C, E)), D)) ) ) ) ) ) ) ) )  => r2_tarski(C, B)) ) ) ) ) ) ) ).
fof(t26_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_dualsp01(B, A) =>  (u1_struct_0(B)=u1_struct_0(A) => g1_normsp_1(u1_struct_0(B), u2_struct_0(B), u1_algstr_0(B), u1_rlvect_1(B), u1_normsp_0(B))=g1_normsp_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_rlvect_1(A), u1_normsp_0(A))) ) ) ) ) ).
fof(t27_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_dualsp01(B, A) => m1_rlsub_1(B, A)) ) ) ) ).
fof(t28_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_dualsp01(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (v1_xreal_0(G) =>  ( (C=E & D=F)  =>  (k2_normsp_0(A, C)=k2_normsp_0(B, E) &  (k3_rlvect_1(A, C, D)=k3_rlvect_1(B, E, F) & k1_rlvect_1(A, C, G)=k1_rlvect_1(B, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_dualsp01(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (C=u1_struct_0(B) => v1_rlsub_1(C, A)) ) ) ) ) ) ) ).
fof(d4_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (r1_tarski(B, u1_struct_0(A)) => k2_normsp_3(A, B)=k2_partfun1(u1_struct_0(A), k1_numbers, u1_normsp_0(A), B)) ) ) ) ).
fof(d5_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k3_normsp_3(A, B)=g1_normsp_1(u1_struct_0(k1_rlvect_3(A, B)), k4_struct_0(k1_rlvect_3(A, B)), u1_algstr_0(k1_rlvect_3(A, B)), u1_rlvect_1(k1_rlvect_3(A, B)), k2_normsp_3(A, u1_struct_0(k1_rlvect_3(A, B))))) ) ) ) ).
fof(t30_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => m1_dualsp01(k3_normsp_3(A, B), A)) ) ) ) ).
fof(t31_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_rlsub_1(B, A) =>  (B=k1_xboole_0 | u1_struct_0(k1_rlvect_3(A, B))=B) ) ) ) ) ) ).
fof(t32_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_dualsp01(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (u1_struct_0(B)=C => k4_normsp_3(A, C)=g1_normsp_1(u1_struct_0(B), u2_struct_0(B), u1_algstr_0(B), u1_rlvect_1(B), u1_normsp_0(B))) ) ) ) ) ) ) ).
fof(t33_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ~ ( (v1_lopban_1(C, A, B) & v1_xboole_0(k8_relset_1(u1_struct_0(A), u1_struct_0(B), C, k6_domain_1(u1_struct_0(B), k4_struct_0(B))))) ) ) ) ) ) ) ) ).
fof(t34_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ( (v13_vectsp_1(C, A, B) & v1_lopban_1(C, A, B))  => v1_rlsub_1(k8_relset_1(u1_struct_0(A), u1_struct_0(B), C, k6_domain_1(u1_struct_0(B), k4_struct_0(B))), A)) ) ) ) ) ) ) ).
fof(t35_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ( (v13_vectsp_1(C, A, B) & v1_lopban_1(C, A, B))  => v1_rlsub_1(k2_relset_1(u1_struct_0(B), C), B)) ) ) ) ) ) ) ).
fof(d6_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  => k5_normsp_3(A, B, C)=k1_rlvect_3(A, k8_relset_1(u1_struct_0(A), u1_struct_0(B), C, k6_domain_1(u1_struct_0(B), k4_struct_0(B))))) ) ) ) ) ) ).
fof(d7_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  => k6_normsp_3(A, B, C)=k4_normsp_3(A, k8_relset_1(u1_struct_0(A), u1_struct_0(B), C, k6_domain_1(u1_struct_0(B), k4_struct_0(B))))) ) ) ) ) ) ).
fof(d8_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  => k7_normsp_3(A, B, C)=k1_rlvect_3(B, k2_relset_1(u1_struct_0(B), C))) ) ) ) ) ) ).
fof(d9_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  => k8_normsp_3(A, B, C)=k4_normsp_3(B, k2_relset_1(u1_struct_0(B), C))) ) ) ) ) ) ).
fof(d10_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (v3_normsp_3(C, A, B) <=>  (v2_funct_1(C) & v2_funct_2(C, u1_struct_0(B))) ) ) ) ) ) ) ) ).
fof(t36_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  ~ ( (v3_normsp_3(C, A, B) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) &  (v13_vectsp_1(D, B, A) &  (v1_lopban_1(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) ) )  =>  ~ ( (D=k2_funct_1(C) & v3_normsp_3(D, B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (v4_normsp_3(C, A, B) <=>  (v2_funct_1(C) &  (v2_funct_2(C, u1_struct_0(B)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_normsp_0(A, D)=k2_normsp_0(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  ~ ( (v4_normsp_3(C, A, B) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) &  (v13_vectsp_1(D, B, A) &  (v1_lopban_1(D, B, A) &  (v2_lopban_1(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) ) ) )  =>  ~ ( (D=k2_funct_1(C) & v4_normsp_3(D, B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) &  (v2_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v3_normsp_1(D, A) =>  (v3_normsp_1(k1_partfun1(k4_ordinal1, u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), D, C), B) & k5_normsp_1(B, k1_partfun1(k4_ordinal1, u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), D, C))=k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k5_normsp_1(A, D))) ) ) ) ) ) ) ) ) ) ).
fof(t39_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r3_nfcont_1(A, B, C, u1_struct_0(A)) => v2_nfcont_1(k8_relset_1(u1_struct_0(A), u1_struct_0(B), C, k6_domain_1(u1_struct_0(B), D)), A)) ) ) ) ) ) ) ) ) ).
fof(t40_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) &  (v2_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (u1_struct_0(k5_normsp_3(A, B, C))=k8_relset_1(u1_struct_0(A), u1_struct_0(B), C, k6_domain_1(u1_struct_0(B), k4_struct_0(B))) & v2_nfcont_1(k8_relset_1(u1_struct_0(A), u1_struct_0(B), C, k6_domain_1(u1_struct_0(B), k4_struct_0(B))), A)) ) ) ) ) ) ) ).
fof(t41_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) &  (v2_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v4_normsp_3(C, A, B) =>  (v3_normsp_1(D, A) <=> v3_normsp_1(k1_partfun1(k4_ordinal1, u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), D, C), B)) ) ) ) ) ) ) ) ) ) ).
fof(t42_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) &  (v2_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (v4_normsp_3(C, A, B) & v1_rsspace3(D, A))  => v1_rsspace3(k1_partfun1(k4_ordinal1, u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), D, C), B)) ) ) ) ) ) ) ) ) ).
fof(t43_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) &  (v2_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v4_normsp_3(C, A, B) =>  (v1_rsspace3(D, A) <=> v1_rsspace3(k1_partfun1(k4_ordinal1, u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), D, C), B)) ) ) ) ) ) ) ) ) ) ).
fof(t44_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  ( (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) &  (v2_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  & v4_normsp_3(C, A, B)) )  =>  (v3_lopban_1(A) <=> v3_lopban_1(B)) ) ) ) ) ) ).
fof(t45_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) &  (v2_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) =>  ( (v4_normsp_3(C, A, B) & E=k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, D))  =>  (v2_nfcont_1(D, A) <=> v2_nfcont_1(E, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (v2_funct_2(C, u1_struct_0(B)) => k8_normsp_3(A, B, C)=g1_normsp_1(u1_struct_0(B), u2_struct_0(B), u1_algstr_0(B), u1_rlvect_1(B), u1_normsp_0(B))) ) ) ) ) ) ) ).
fof(t47_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_dualsp01(B, A) =>  ( (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) &  (C=u1_struct_0(B) & v2_nfcont_1(C, A)) ) )  =>  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) &  (v3_lopban_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_dualsp01(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v3_lopban_1(B) & C=u1_struct_0(B))  => v2_nfcont_1(C, A)) ) ) ) ) ) ) ).
fof(t49_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ( (v1_rlsub_1(B, A) & v2_nfcont_1(B, A))  =>  ( ~ (v2_struct_0(k4_normsp_3(A, B)))  &  (v13_algstr_0(k4_normsp_3(A, B)) &  (v2_rlvect_1(k4_normsp_3(A, B)) &  (v3_rlvect_1(k4_normsp_3(A, B)) &  (v4_rlvect_1(k4_normsp_3(A, B)) &  (v5_rlvect_1(k4_normsp_3(A, B)) &  (v6_rlvect_1(k4_normsp_3(A, B)) &  (v7_rlvect_1(k4_normsp_3(A, B)) &  (v8_rlvect_1(k4_normsp_3(A, B)) &  (v3_normsp_0(k4_normsp_3(A, B)) &  (v4_normsp_0(k4_normsp_3(A, B)) &  (v2_normsp_1(k4_normsp_3(A, B)) &  (v3_lopban_1(k4_normsp_3(A, B)) & l1_normsp_1(k4_normsp_3(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) => k10_normsp_3(A, B)=k4_dualsp01(k6_vectsp10(k2_vectsp_1, k2_dualsp01(A), k9_normsp_3(A, B)))) ) ) ) ).
fof(t50_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_dualsp01(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_vectsp_1)) =>  ( (B=D & C=E)  => k1_rlvect_1(A, B, C)=k3_vectsp_1(k2_vectsp_1, k2_dualsp01(A), E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v8_vectsp_1(A, k2_vectsp_1) &  (v9_vectsp_1(A, k2_vectsp_1) &  (v10_vectsp_1(A, k2_vectsp_1) &  (v11_vectsp_1(A, k2_vectsp_1) & l1_vectsp_1(A, k2_vectsp_1)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_vectsp_1)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k4_dualsp01(A))) =>  (! [E] :  (v1_xreal_0(E) =>  ( (B=D & C=E)  => k3_vectsp_1(k2_vectsp_1, A, C, B)=k1_rlvect_1(k4_dualsp01(A), D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_dualsp01(A))) =>  (C=D => k3_rlsub_1(A, C, B)=k3_vectsp_4(k2_vectsp_1, k2_dualsp01(A), D, k9_normsp_3(A, B))) ) ) ) ) ) ) ) ) ).
fof(t53_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m2_rlsub_1(C, A, B) <=> m2_vectsp_4(C, k2_vectsp_1, k2_dualsp01(A), k9_normsp_3(A, B))) ) ) ) ) ) ).
fof(d14_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) => k12_normsp_3(A, B)=u1_struct_0(B)) ) ) ) ).
fof(t54_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) => k11_normsp_3(A, B)=k2_vectsp10(k2_vectsp_1, k2_dualsp01(A), k9_normsp_3(A, B))) ) ) ) ).
fof(t55_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) => u1_struct_0(k10_normsp_3(A, B))=k11_normsp_3(A, B)) ) ) ) ).
fof(t56_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k10_normsp_3(A, B))) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & C=k3_rlsub_1(A, D, B)) ) ) ) ) ) ) ) ).
fof(t57_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) => k4_struct_0(k10_normsp_3(A, B))=k12_normsp_3(A, B)) ) ) ) ).
fof(t58_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k10_normsp_3(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xreal_0(E) =>  (C=k3_rlsub_1(A, D, B) => k1_rlvect_1(k10_normsp_3(A, B), C, E)=k3_rlsub_1(A, k1_rlvect_1(A, D, E), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k10_normsp_3(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xreal_0(E) =>  (C=k3_rlsub_1(A, D, B) => k4_algstr_0(k10_normsp_3(A, B), C)=k3_rlsub_1(A, k4_algstr_0(A, D), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k10_normsp_3(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k10_normsp_3(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (C=k3_rlsub_1(A, E, B) & D=k3_rlsub_1(A, F, B))  => k3_rlvect_1(k10_normsp_3(A, B), C, D)=k3_rlsub_1(A, k3_rlvect_1(A, E, F), B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k10_normsp_3(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k10_normsp_3(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (C=k3_rlsub_1(A, E, B) & D=k3_rlsub_1(A, F, B))  => k5_algstr_0(k10_normsp_3(A, B), C, D)=k3_rlsub_1(A, k5_algstr_0(A, E, F), B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (k4_struct_0(k10_normsp_3(A, B))=u1_struct_0(B) & k4_struct_0(k10_normsp_3(A, B))=k3_rlsub_1(A, k4_struct_0(A), B)) ) ) ) ) ).
fof(t63_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k10_normsp_3(A, B))) &  (v13_vectsp_1(C, A, k10_normsp_3(A, B)) &  (v1_lopban_1(C, A, k10_normsp_3(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k10_normsp_3(A, B)))))) ) ) )  &  (v2_funct_2(C, u1_struct_0(k10_normsp_3(A, B))) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(k10_normsp_3(A, B)), C, D)=k3_rlsub_1(A, D, B)) ) ) ) ) ) ) ) ) ).
fof(d15_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k10_normsp_3(A, B))) &  (v13_vectsp_1(C, A, k10_normsp_3(A, B)) &  (v1_lopban_1(C, A, k10_normsp_3(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k10_normsp_3(A, B)))))) ) ) )  =>  (C=k13_normsp_3(A, B) <=>  (v2_funct_2(C, u1_struct_0(k10_normsp_3(A, B))) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(k10_normsp_3(A, B)), C, D)=k3_rlsub_1(A, D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t64_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k10_normsp_3(A, k5_normsp_3(A, B, C))), u1_struct_0(k7_normsp_3(A, B, C))) &  (v13_vectsp_1(D, k10_normsp_3(A, k5_normsp_3(A, B, C)), k7_normsp_3(A, B, C)) &  (v1_lopban_1(D, k10_normsp_3(A, k5_normsp_3(A, B, C)), k7_normsp_3(A, B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_normsp_3(A, k5_normsp_3(A, B, C))), u1_struct_0(k7_normsp_3(A, B, C)))))) ) ) )  &  (v3_normsp_3(D, k10_normsp_3(A, k5_normsp_3(A, B, C)), k7_normsp_3(A, B, C)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(k10_normsp_3(A, k5_normsp_3(A, B, C)))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (E=k3_rlsub_1(A, F, k5_normsp_3(A, B, C)) => k3_funct_2(u1_struct_0(k10_normsp_3(A, k5_normsp_3(A, B, C))), u1_struct_0(k7_normsp_3(A, B, C)), D, E)=k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k10_normsp_3(A, k5_normsp_3(A, B, C))), u1_struct_0(k7_normsp_3(A, B, C))) &  (v13_vectsp_1(D, k10_normsp_3(A, k5_normsp_3(A, B, C)), k7_normsp_3(A, B, C)) &  (v1_lopban_1(D, k10_normsp_3(A, k5_normsp_3(A, B, C)), k7_normsp_3(A, B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_normsp_3(A, k5_normsp_3(A, B, C))), u1_struct_0(k7_normsp_3(A, B, C)))))) ) ) )  =>  (D=k14_normsp_3(A, B, C) <=>  (v3_normsp_3(D, k10_normsp_3(A, k5_normsp_3(A, B, C)), k7_normsp_3(A, B, C)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(k10_normsp_3(A, k5_normsp_3(A, B, C)))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (E=k3_rlsub_1(A, F, k5_normsp_3(A, B, C)) => k3_funct_2(u1_struct_0(k10_normsp_3(A, k5_normsp_3(A, B, C))), u1_struct_0(k7_normsp_3(A, B, C)), D, E)=k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  => r1_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(A), u1_struct_0(k7_normsp_3(A, B, C)), C, k1_partfun1(u1_struct_0(A), u1_struct_0(k10_normsp_3(A, k5_normsp_3(A, B, C))), u1_struct_0(k10_normsp_3(A, k5_normsp_3(A, B, C))), u1_struct_0(k7_normsp_3(A, B, C)), k13_normsp_3(A, k5_normsp_3(A, B, C)), k14_normsp_3(A, B, C)))) ) ) ) ) ) ).
fof(t66_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_xxreal_0(k5_numbers, k3_seq_4(k15_normsp_3(A, B, C))) & r1_xxreal_0(k3_seq_4(k15_normsp_3(A, B, C)), k2_normsp_0(A, C))) ) ) ) ) ) ) ).
fof(d18_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k11_normsp_3(A, B), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k11_normsp_3(A, B), k1_numbers)))) )  =>  (C=k16_normsp_3(A, B) <=>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(u1_struct_0(A)), k11_normsp_3(A, B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (D=k3_rlsub_1(A, E, B) => k3_funct_2(k11_normsp_3(A, B), k1_numbers, C, D)=k3_seq_4(k15_normsp_3(A, B, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  ( (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) &  (C=u1_struct_0(B) & v2_nfcont_1(C, A)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v1_normsp_1(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (C=k17_normsp_3(A, B) <=>  (g1_rlvect_1(u1_struct_0(C), u2_struct_0(C), u1_algstr_0(C), u1_rlvect_1(C))=k10_normsp_3(A, B) & r1_funct_2(u1_struct_0(C), k1_numbers, k11_normsp_3(A, B), k1_numbers, u1_normsp_0(C), k16_normsp_3(A, B))) ) ) ) ) ) ) ) ) ).
fof(t67_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) &  (v2_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k17_normsp_3(A, k5_normsp_3(A, B, C))), u1_struct_0(k8_normsp_3(A, B, C))) &  (v13_vectsp_1(D, k17_normsp_3(A, k5_normsp_3(A, B, C)), k8_normsp_3(A, B, C)) &  (v1_lopban_1(D, k17_normsp_3(A, k5_normsp_3(A, B, C)), k8_normsp_3(A, B, C)) &  (v2_lopban_1(D, k17_normsp_3(A, k5_normsp_3(A, B, C)), k8_normsp_3(A, B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_normsp_3(A, k5_normsp_3(A, B, C))), u1_struct_0(k8_normsp_3(A, B, C)))))) ) ) ) )  &  (? [E] :  (m1_subset_1(E, u1_struct_0(k16_lopban_1(k17_normsp_3(A, k5_normsp_3(A, B, C)), k8_normsp_3(A, B, C)))) &  (? [F] :  (m1_subset_1(F, u1_struct_0(k16_lopban_1(A, B))) &  (v2_funct_2(D, u1_struct_0(k8_normsp_3(A, B, C))) &  (v2_funct_1(D) &  (C=F &  (D=E &  (k2_normsp_0(k16_lopban_1(A, B), F)=k2_normsp_0(k16_lopban_1(k17_normsp_3(A, k5_normsp_3(A, B, C)), k8_normsp_3(A, B, C)), E) &  (! [G] :  (m1_subset_1(G, u1_struct_0(k17_normsp_3(A, k5_normsp_3(A, B, C)))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (G=k3_rlsub_1(A, H, k5_normsp_3(A, B, C)) => k3_funct_2(u1_struct_0(k17_normsp_3(A, k5_normsp_3(A, B, C))), u1_struct_0(k8_normsp_3(A, B, C)), D, G)=k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d20_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_normsp_1(C))  =>  (C=k18_normsp_3(A, B) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) &  (D=u1_struct_0(k1_rlvect_3(A, B)) & C=g1_normsp_1(k1_normsp_3(A, D), k7_rsspace(A, k1_normsp_3(A, D)), k5_rsspace(A, k1_normsp_3(A, D)), k6_rsspace(A, k1_normsp_3(A, D)), k2_normsp_3(A, k1_normsp_3(A, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t68_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (C=u1_struct_0(k18_normsp_3(A, B)) => m1_rlsub_1(g1_rlvect_1(C, k7_rsspace(A, C), k5_rsspace(A, C), k6_rsspace(A, C)), A)) ) ) ) ) ) ) ).
fof(t69_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k18_normsp_3(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k18_normsp_3(A, B))) =>  (! [E] :  (v1_xreal_0(E) =>  ( (k2_normsp_0(k18_normsp_3(A, B), C)=k5_numbers => C=k4_struct_0(k18_normsp_3(A, B)))  &  ( (C=k4_struct_0(k18_normsp_3(A, B)) => k2_normsp_0(k18_normsp_3(A, B), C)=k5_numbers)  &  (k2_normsp_0(k18_normsp_3(A, B), k1_rlvect_1(k18_normsp_3(A, B), C, E))=k3_xcmplx_0(k9_complex1(E), k2_normsp_0(k18_normsp_3(A, B), C)) & r1_xxreal_0(k2_normsp_0(k18_normsp_3(A, B), k1_algstr_0(k18_normsp_3(A, B), C, D)), k2_xcmplx_0(k2_normsp_0(k18_normsp_3(A, B), C), k2_normsp_0(k18_normsp_3(A, B), D)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ~ (v2_struct_0(k18_normsp_3(A, B)))  &  (v13_algstr_0(k18_normsp_3(A, B)) &  (v2_rlvect_1(k18_normsp_3(A, B)) &  (v3_rlvect_1(k18_normsp_3(A, B)) &  (v4_rlvect_1(k18_normsp_3(A, B)) &  (v5_rlvect_1(k18_normsp_3(A, B)) &  (v6_rlvect_1(k18_normsp_3(A, B)) &  (v7_rlvect_1(k18_normsp_3(A, B)) &  (v8_rlvect_1(k18_normsp_3(A, B)) &  (v3_normsp_0(k18_normsp_3(A, B)) &  (v4_normsp_0(k18_normsp_3(A, B)) &  (v2_normsp_1(k18_normsp_3(A, B)) & l1_normsp_1(k18_normsp_3(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => m1_dualsp01(k18_normsp_3(A, B), A)) ) ) ) ).
fof(dt_k1_normsp_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k1_normsp_3(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k2_normsp_3, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k2_normsp_3(A, B)) &  (v1_funct_2(k2_normsp_3(A, B), B, k1_numbers) & m1_subset_1(k2_normsp_3(A, B), k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) ) ) ) ).
fof(dt_k3_normsp_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ( ~ (v2_struct_0(k3_normsp_3(A, B)))  & l1_normsp_1(k3_normsp_3(A, B))) ) ) ).
fof(dt_k4_normsp_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_dualsp01(k4_normsp_3(A, B), A)) ) ).
fof(redefinition_k4_normsp_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => k4_normsp_3(A, B)=k3_normsp_3(A, B)) ) ).
fof(dt_k5_normsp_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) )  => m1_rlsub_1(k5_normsp_3(A, B, C), A)) ) ).
fof(dt_k6_normsp_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) )  => m1_dualsp01(k6_normsp_3(A, B, C), A)) ) ).
fof(dt_k7_normsp_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) )  => m1_rlsub_1(k7_normsp_3(A, B, C), B)) ) ).
fof(dt_k8_normsp_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) )  => m1_dualsp01(k8_normsp_3(A, B, C), B)) ) ).
fof(dt_k9_normsp_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  & m1_rlsub_1(B, A))  => m1_vectsp_4(k9_normsp_3(A, B), k2_vectsp_1, k2_dualsp01(A))) ) ).
fof(redefinition_k9_normsp_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  & m1_rlsub_1(B, A))  => k9_normsp_3(A, B)=k2_dualsp01(B)) ) ).
fof(dt_k10_normsp_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  & m1_rlsub_1(B, A))  =>  ( ~ (v2_struct_0(k10_normsp_3(A, B)))  &  (v13_algstr_0(k10_normsp_3(A, B)) &  (v2_rlvect_1(k10_normsp_3(A, B)) &  (v3_rlvect_1(k10_normsp_3(A, B)) &  (v4_rlvect_1(k10_normsp_3(A, B)) &  (v5_rlvect_1(k10_normsp_3(A, B)) &  (v6_rlvect_1(k10_normsp_3(A, B)) &  (v7_rlvect_1(k10_normsp_3(A, B)) &  (v8_rlvect_1(k10_normsp_3(A, B)) & l1_rlvect_1(k10_normsp_3(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k11_normsp_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  & m1_rlsub_1(B, A))  =>  ( ~ (v1_xboole_0(k11_normsp_3(A, B)))  & m1_subset_1(k11_normsp_3(A, B), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ) ).
fof(dt_k12_normsp_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  & m1_rlsub_1(B, A))  => m2_subset_1(k12_normsp_3(A, B), k1_zfmisc_1(u1_struct_0(A)), k11_normsp_3(A, B))) ) ).
fof(dt_k13_normsp_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  & m1_rlsub_1(B, A))  =>  (v1_funct_1(k13_normsp_3(A, B)) &  (v1_funct_2(k13_normsp_3(A, B), u1_struct_0(A), u1_struct_0(k10_normsp_3(A, B))) &  (v13_vectsp_1(k13_normsp_3(A, B), A, k10_normsp_3(A, B)) &  (v1_lopban_1(k13_normsp_3(A, B), A, k10_normsp_3(A, B)) & m1_subset_1(k13_normsp_3(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k10_normsp_3(A, B)))))) ) ) ) ) ) ).
fof(dt_k14_normsp_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) )  =>  (v1_funct_1(k14_normsp_3(A, B, C)) &  (v1_funct_2(k14_normsp_3(A, B, C), u1_struct_0(k10_normsp_3(A, k5_normsp_3(A, B, C))), u1_struct_0(k7_normsp_3(A, B, C))) &  (v13_vectsp_1(k14_normsp_3(A, B, C), k10_normsp_3(A, k5_normsp_3(A, B, C)), k7_normsp_3(A, B, C)) &  (v1_lopban_1(k14_normsp_3(A, B, C), k10_normsp_3(A, k5_normsp_3(A, B, C)), k7_normsp_3(A, B, C)) & m1_subset_1(k14_normsp_3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_normsp_3(A, k5_normsp_3(A, B, C))), u1_struct_0(k7_normsp_3(A, B, C)))))) ) ) ) ) ) ).
fof(dt_k15_normsp_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_rlsub_1(B, A) & m1_subset_1(C, u1_struct_0(A))) )  =>  ( ~ (v1_xboole_0(k15_normsp_3(A, B, C)))  & m1_subset_1(k15_normsp_3(A, B, C), k1_zfmisc_1(k1_numbers))) ) ) ).
fof(dt_k16_normsp_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  & m1_rlsub_1(B, A))  =>  (v1_funct_1(k16_normsp_3(A, B)) &  (v1_funct_2(k16_normsp_3(A, B), k11_normsp_3(A, B), k1_numbers) & m1_subset_1(k16_normsp_3(A, B), k1_zfmisc_1(k2_zfmisc_1(k11_normsp_3(A, B), k1_numbers)))) ) ) ) ).
fof(dt_k17_normsp_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  & m1_rlsub_1(B, A))  =>  ( ~ (v2_struct_0(k17_normsp_3(A, B)))  &  (v13_algstr_0(k17_normsp_3(A, B)) &  (v2_rlvect_1(k17_normsp_3(A, B)) &  (v3_rlvect_1(k17_normsp_3(A, B)) &  (v4_rlvect_1(k17_normsp_3(A, B)) &  (v5_rlvect_1(k17_normsp_3(A, B)) &  (v6_rlvect_1(k17_normsp_3(A, B)) &  (v7_rlvect_1(k17_normsp_3(A, B)) &  (v8_rlvect_1(k17_normsp_3(A, B)) &  (v3_normsp_0(k17_normsp_3(A, B)) &  (v4_normsp_0(k17_normsp_3(A, B)) &  (v1_normsp_1(k17_normsp_3(A, B)) &  (v2_normsp_1(k17_normsp_3(A, B)) & l1_normsp_1(k17_normsp_3(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k18_normsp_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ( ~ (v2_struct_0(k18_normsp_3(A, B)))  & l1_normsp_1(k18_normsp_3(A, B))) ) ) ).
fof(dt_k19_normsp_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_dualsp01(k19_normsp_3(A, B), A)) ) ).
fof(redefinition_k19_normsp_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => k19_normsp_3(A, B)=k18_normsp_3(A, B)) ) ).
fof(d13_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) => k11_normsp_3(A, B)=a_2_0_normsp_3(A, B)) ) ) ) ).
fof(d17_normsp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k15_normsp_3(A, B, C)=a_3_0_normsp_3(A, B, C)) ) ) ) ) ) ).
fof(fraenkel_a_2_0_normsp_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  & m1_rlsub_1(C, B))  =>  (r2_hidden(A, a_2_0_normsp_3(B, C)) <=>  (? [D] :  (m2_rlsub_1(D, B, C) & A=D) ) ) ) ) ).
fof(fraenkel_a_3_0_normsp_3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_rlsub_1(C, B) & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_0_normsp_3(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k2_normsp_0(B, E) & r2_tarski(E, k3_rlsub_1(B, D, C))) ) ) ) ) ) ).
fof(fc1_normsp_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v4_card_3(k1_normsp_4(A, B))) ) ).
fof(fc2_normsp_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => v4_card_3(k1_normsp_4(A, k2_relset_1(u1_struct_0(A), B)))) ) ).
fof(fc3_normsp_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ( ~ (v2_struct_0(k18_normsp_3(A, k2_relset_1(u1_struct_0(A), B))))  & v2_normsp_3(k18_normsp_3(A, k2_relset_1(u1_struct_0(A), B)))) ) ) ).
fof(t1_normsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_dualsp01(B, A) => m1_pre_topc(k3_normsp_2(B), k3_normsp_2(A))) ) ) ) ).
fof(t2_normsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_dualsp01(B, A) => m1_pre_topc(k4_normsp_2(B), k4_normsp_2(A))) ) ) ) ).
fof(t3_normsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_dualsp01(B, A) =>  (! [C] :  (m1_dualsp01(C, A) =>  ( (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) &  (D=u1_struct_0(B) & k1_normsp_3(A, D)=u1_struct_0(C)) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(C))) =>  ( (v1_normsp_3(D, B) & D=E)  => v1_normsp_3(E, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_normsp_4, axiom,  (! [A] :  (l2_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k11_ideal_1(A, B, C), k2_zfmisc_1(B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k11_ideal_1(A, B, C), k2_zfmisc_1(B, C))))) )  & v2_funct_1(D)) ) ) ) ) ) ) ) ).
fof(t5_normsp_4, axiom,  (! [A] :  (l2_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v4_card_3(B) & v4_card_3(C))  => v4_card_3(k11_ideal_1(A, B, C))) ) ) ) ) ) ) ).
fof(t6_normsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m2_rlvect_2(D, A, B) =>  (! [E] :  (m2_rlvect_2(E, A, C) =>  ~ ( (r1_xboole_0(B, C) &  (! [F] :  (m2_rlvect_2(F, A, k4_subset_1(u1_struct_0(A), B, C)) =>  ~ ( (k3_rlvect_2(A, F)=k4_subset_1(u1_struct_0(A), k3_rlvect_2(A, D), k3_rlvect_2(A, E)) & r1_rlvect_2(A, F, k7_rlvect_2(A, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_normsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m2_rlvect_2(D, A, k4_subset_1(u1_struct_0(A), B, C)) =>  (? [E] :  (m2_rlvect_2(E, A, B) &  (k3_rlvect_2(A, E)=k7_subset_1(u1_struct_0(A), k3_rlvect_2(A, D), C) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r2_tarski(F, k3_rlvect_2(A, E)) => k3_funct_2(u1_struct_0(A), k1_numbers, E, F)=k3_funct_2(u1_struct_0(A), k1_numbers, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_normsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m2_rlvect_2(D, A, k4_subset_1(u1_struct_0(A), B, C)) =>  ~ ( (r1_xboole_0(B, C) &  (! [E] :  (m2_rlvect_2(E, A, B) =>  (! [F] :  (m2_rlvect_2(F, A, C) =>  ~ ( (k3_rlvect_2(A, D)=k4_subset_1(u1_struct_0(A), k3_rlvect_2(A, E), k3_rlvect_2(A, F)) &  (r1_rlvect_2(A, D, k7_rlvect_2(A, E, F)) &  (k3_rlvect_2(A, E)=k7_subset_1(u1_struct_0(A), k3_rlvect_2(A, D), C) & k3_rlvect_2(A, F)=k7_subset_1(u1_struct_0(A), k3_rlvect_2(A, D), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_normsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m2_rlvect_2(D, A, B) =>  (! [E] :  (m2_rlvect_2(E, A, C) =>  ~ ( (r1_tarski(k2_relset_1(k1_numbers, D), k3_numbers) &  (r1_tarski(k2_relset_1(k1_numbers, E), k3_numbers) &  (r1_xboole_0(B, C) &  (! [F] :  (m2_rlvect_2(F, A, k4_subset_1(u1_struct_0(A), B, C)) =>  ~ ( (k3_rlvect_2(A, F)=k4_subset_1(u1_struct_0(A), k3_rlvect_2(A, D), k3_rlvect_2(A, E)) &  (r1_tarski(k2_relset_1(k1_numbers, F), k3_numbers) & k6_rlvect_2(A, F)=k3_rlvect_1(A, k6_rlvect_2(A, D), k6_rlvect_2(A, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_normsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m2_rlvect_2(D, A, k4_subset_1(u1_struct_0(A), B, C)) =>  ~ ( (r1_tarski(k2_relset_1(k1_numbers, D), k3_numbers) &  (r1_xboole_0(B, C) &  (! [E] :  (m2_rlvect_2(E, A, B) =>  (! [F] :  (m2_rlvect_2(F, A, C) =>  ~ ( (r1_tarski(k2_relset_1(k1_numbers, E), k3_numbers) &  (r1_tarski(k2_relset_1(k1_numbers, F), k3_numbers) & k6_rlvect_2(A, D)=k3_rlvect_1(A, k6_rlvect_2(A, E), k6_rlvect_2(A, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_normsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (r1_xboole_0(B, C) => k12_ideal_1(A, k1_normsp_4(A, B), k1_normsp_4(A, C))=k1_normsp_4(A, k4_subset_1(u1_struct_0(A), B, C))) ) ) ) ) ) ) ).
fof(t12_normsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( (r1_tarski(C, k2_relset_1(u1_struct_0(A), B)) &  (! [D] :  (v7_ordinal1(D) =>  ~ (r1_tarski(C, k2_relset_1(u1_struct_0(A), k2_partfun1(k4_ordinal1, u1_struct_0(A), B, k5_card_1(D))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_normsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => m1_subset_1(k1_normsp_4(A, k2_relset_1(u1_struct_0(A), B)), k1_zfmisc_1(u1_struct_0(k4_normsp_3(A, k2_relset_1(u1_struct_0(A), B)))))) ) ) ) ).
fof(t14_normsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(u1_struct_0(k4_normsp_3(A, B)), u1_struct_0(k19_normsp_3(A, B))) &  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) &  (C=u1_struct_0(k4_normsp_3(A, B)) & k1_normsp_3(A, C)=u1_struct_0(k19_normsp_3(A, B))) ) ) ) ) ) ) ) ).
fof(t15_normsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v4_card_3(k1_normsp_4(A, k2_relset_1(u1_struct_0(A), B))) & m1_subset_1(k1_normsp_4(A, k2_relset_1(u1_struct_0(A), B)), k1_zfmisc_1(u1_struct_0(k19_normsp_3(A, k2_relset_1(u1_struct_0(A), B)))))) ) ) ) ) ).
fof(t16_normsp_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  (! [C] :  (m1_subset_1(C, k3_numbers) =>  ~ ( ( ~ (C=k5_numbers)  &  ~ (r1_xxreal_0(B, k9_complex1(k6_xcmplx_0(A, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_normsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_rlvect_2(D, A, k6_domain_1(u1_struct_0(A), B)) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [E] :  (m2_rlvect_2(E, A, k6_domain_1(u1_struct_0(A), B)) =>  ~ ( (k3_rlvect_2(A, E)=k3_rlvect_2(A, D) &  (r1_tarski(k2_relset_1(k1_numbers, E), k3_numbers) &  ~ (r1_xxreal_0(C, k2_normsp_0(A, k5_algstr_0(A, k6_rlvect_2(A, D), k6_rlvect_2(A, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_normsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_rlvect_2(D, A, B) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [E] :  (m2_rlvect_2(E, A, B) =>  ~ ( (k3_rlvect_2(A, E)=k3_rlvect_2(A, D) &  (r1_tarski(k2_relset_1(k1_numbers, E), k3_numbers) &  ~ (r1_xxreal_0(C, k2_normsp_0(A, k5_algstr_0(A, k6_rlvect_2(A, D), k6_rlvect_2(A, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_normsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_normsp_3(k1_normsp_4(A, k2_relset_1(u1_struct_0(A), B)), k4_normsp_3(A, k2_relset_1(u1_struct_0(A), B))) & m1_subset_1(k1_normsp_4(A, k2_relset_1(u1_struct_0(A), B)), k1_zfmisc_1(u1_struct_0(k4_normsp_3(A, k2_relset_1(u1_struct_0(A), B)))))) ) ) ) ) ).
fof(t20_normsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (v1_normsp_3(k1_normsp_4(A, k2_relset_1(u1_struct_0(A), B)), k19_normsp_3(A, k2_relset_1(u1_struct_0(A), B))) & m1_subset_1(k1_normsp_4(A, k2_relset_1(u1_struct_0(A), B)), k1_zfmisc_1(u1_struct_0(k19_normsp_3(A, k2_relset_1(u1_struct_0(A), B)))))) ) ) ) ) ).
fof(t21_normsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ( (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  (v1_normsp_3(B, A) & v4_card_3(B)) ) )  => v2_normsp_3(A)) ) ) ).
fof(t22_normsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_dualsp01(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) &  (v2_hahnban(C, A) &  (v3_hahnban(C, A) &  (v1_dualsp01(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) )  =>  (v1_funct_1(k2_partfun1(u1_struct_0(A), k1_numbers, C, u1_struct_0(B))) &  (v1_funct_2(k2_partfun1(u1_struct_0(A), k1_numbers, C, u1_struct_0(B)), u1_struct_0(B), k1_numbers) &  (v2_hahnban(k2_partfun1(u1_struct_0(A), k1_numbers, C, u1_struct_0(B)), B) &  (v3_hahnban(k2_partfun1(u1_struct_0(A), k1_numbers, C, u1_struct_0(B)), B) &  (v1_dualsp01(k2_partfun1(u1_struct_0(A), k1_numbers, C, u1_struct_0(B)), B) & m1_subset_1(k2_partfun1(u1_struct_0(A), k1_numbers, C, u1_struct_0(B)), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_numbers)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_normsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(E, A, B) &  (v1_lopban_1(E, A, B) &  (v2_lopban_1(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  ( (v4_normsp_3(E, A, B) & D=k7_relset_1(u1_struct_0(A), u1_struct_0(B), E, C))  =>  (v1_normsp_3(C, A) <=> v1_normsp_3(D, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_normsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  ( (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_lopban_1(C, A, B) &  (v2_lopban_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  & v4_normsp_3(C, A, B)) )  =>  (v2_normsp_3(A) <=> v2_normsp_3(B)) ) ) ) ) ) ).
fof(t25_normsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_dualsp02(A) =>  (v7_struct_0(A) |  (v2_normsp_3(A) <=> v2_normsp_3(k17_dualsp01(k17_dualsp01(A)))) ) ) ) ) ).
fof(t26_normsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (C=u1_struct_0(k1_rlvect_3(A, B)) => u1_struct_0(k1_rlvect_3(A, C))=C) ) ) ) ) ) ) ).
fof(t27_normsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) &  (C=u1_struct_0(k1_rlvect_3(A, B)) &  (k19_normsp_3(A, B)=k4_normsp_3(A, k1_normsp_3(A, C)) &  (v1_rlsub_1(k1_normsp_3(A, C), A) &  ~ (k1_normsp_3(A, C)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ).
fof(t28_normsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ~ (v2_struct_0(k19_normsp_3(A, B)))  &  (v13_algstr_0(k19_normsp_3(A, B)) &  (v2_rlvect_1(k19_normsp_3(A, B)) &  (v3_rlvect_1(k19_normsp_3(A, B)) &  (v4_rlvect_1(k19_normsp_3(A, B)) &  (v5_rlvect_1(k19_normsp_3(A, B)) &  (v6_rlvect_1(k19_normsp_3(A, B)) &  (v7_rlvect_1(k19_normsp_3(A, B)) &  (v8_rlvect_1(k19_normsp_3(A, B)) &  (v3_normsp_0(k19_normsp_3(A, B)) &  (v4_normsp_0(k19_normsp_3(A, B)) &  (v2_normsp_1(k19_normsp_3(A, B)) &  (v3_lopban_1(k19_normsp_3(A, B)) & l1_normsp_1(k19_normsp_3(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_normsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_dualsp02(A) => v1_dualsp02(k19_normsp_3(A, B))) ) ) ) ) ).
fof(dt_k1_normsp_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k1_normsp_4(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(d1_normsp_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k1_normsp_4(A, B)=a_2_0_normsp_4(A, B)) ) ) ) ).
fof(fraenkel_a_2_0_normsp_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_0_normsp_4(B, C)) <=>  (? [D] :  (m2_rlvect_2(D, B, C) &  (A=k6_rlvect_2(B, D) & r1_tarski(k2_relset_1(k1_numbers, D), k3_numbers)) ) ) ) ) ) ).
fof(t1_ntalgo_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) => k5_int_1(k5_int_1(A, B), B)=k5_int_1(A, B)) ) ) ) ).
fof(t2_ntalgo_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) => k1_ntalgo_1(A, B)=k3_int_2(A, B)) ) ) ) ).
fof(t3_ntalgo_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (r1_xxreal_0(A, k5_numbers) => r1_xxreal_0(k5_int_1(B, A), k5_numbers)) ) ) ) ) ).
fof(t4_ntalgo_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  ~ ( ( ~ (r1_xxreal_0(k5_numbers, A))  & r1_xxreal_0(k4_xcmplx_0(A), k4_xcmplx_0(k5_int_1(B, A)))) ) ) ) ) ) ).
fof(t5_ntalgo_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  ~ ( ( ~ (k1_int_2(B)=k5_numbers)  & r1_xxreal_0(k1_int_2(B), k1_int_2(k5_int_1(A, B)))) ) ) ) ) ) ).
fof(t6_ntalgo_1, axiom,  (! [A] :  (m1_subset_1(A, k4_numbers) =>  (! [B] :  (m1_subset_1(B, k4_numbers) =>  (k3_mcart_1(k4_numbers, k4_numbers, k4_numbers, k2_ntalgo_1(A, B))=k3_int_2(A, B) & k2_xcmplx_0(k3_xcmplx_0(k1_mcart_1(k4_numbers, k4_numbers, k4_numbers, k2_ntalgo_1(A, B)), A), k3_xcmplx_0(k2_mcart_1(k4_numbers, k4_numbers, k4_numbers, k2_ntalgo_1(A, B)), B))=k3_int_2(A, B)) ) ) ) ) ).
fof(d3_ntalgo_1, axiom,  (! [A] :  (m1_subset_1(A, k4_numbers) =>  (! [B] :  (m1_subset_1(B, k4_numbers) =>  (! [C] :  (m1_subset_1(C, k4_numbers) =>  (C=k3_ntalgo_1(A, B) <=>  (! [D] :  (m1_subset_1(D, k4_numbers) =>  (D=k5_int_1(A, B) =>  ( (k3_mcart_1(k4_numbers, k4_numbers, k4_numbers, k2_ntalgo_1(B, D))=1 =>  ( ~ ( ( ~ (r1_xxreal_0(k5_numbers, k2_mcart_1(k4_numbers, k4_numbers, k4_numbers, k2_ntalgo_1(B, D))))  &  (! [E] :  (m1_subset_1(E, k4_numbers) =>  ~ ( (E=k2_mcart_1(k4_numbers, k4_numbers, k4_numbers, k2_ntalgo_1(B, D)) & C=k2_xcmplx_0(B, E)) ) ) ) ) )  &  (r1_xxreal_0(k5_numbers, k2_mcart_1(k4_numbers, k4_numbers, k4_numbers, k2_ntalgo_1(B, D))) => C=k2_mcart_1(k4_numbers, k4_numbers, k4_numbers, k2_ntalgo_1(B, D))) ) )  &  ( ~ (k3_mcart_1(k4_numbers, k4_numbers, k4_numbers, k2_ntalgo_1(B, D))=1)  => C=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_ntalgo_1, axiom,  (! [A] :  (m1_subset_1(A, k4_numbers) =>  (! [B] :  (m1_subset_1(B, k4_numbers) =>  (! [C] :  (m1_subset_1(C, k4_numbers) =>  ( (C=k5_int_1(A, B) & k3_mcart_1(k4_numbers, k4_numbers, k4_numbers, k2_ntalgo_1(B, C))=1)  => k5_int_1(k3_xcmplx_0(k3_ntalgo_1(A, B), A), B)=k5_int_1(1, B)) ) ) ) ) ) ) ).
fof(d4_ntalgo_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, k2_zfmisc_1(k4_numbers, k4_numbers)))  =>  (! [B] :  (m1_subset_1(B, k4_numbers) =>  (B=k4_ntalgo_1(A) <=>  ( (k3_finseq_1(A)=1 => B=k1_xtuple_0(k1_funct_1(A, 1)))  &  ~ ( ( ~ (k3_finseq_1(A)=1)  &  (! [C] :  (m2_finseq_1(C, k4_numbers) =>  (! [D] :  (m2_finseq_1(D, k4_numbers) =>  (! [E] :  (m2_finseq_1(E, k4_numbers) =>  (! [F] :  (m2_finseq_1(F, k4_numbers) =>  (! [G] :  (m1_subset_1(G, k4_numbers) =>  (! [H] :  (m1_subset_1(H, k4_numbers) =>  ~ ( (k3_finseq_1(C)=k3_finseq_1(A) &  (k3_finseq_1(D)=k3_finseq_1(A) &  (k3_finseq_1(E)=k6_xcmplx_0(k3_finseq_1(A), 1) &  (k3_finseq_1(F)=k6_xcmplx_0(k3_finseq_1(A), 1) &  (k1_funct_1(C, 1)=1 &  ( (! [I] :  (v7_ordinal1(I) =>  ~ ( (r1_xxreal_0(1, I) &  (r1_xxreal_0(I, k6_xcmplx_0(k3_finseq_1(C), 1)) &  (! [J] :  (m1_subset_1(J, k4_numbers) =>  (! [K] :  (m1_subset_1(K, k4_numbers) =>  (! [L] :  (m1_subset_1(L, k4_numbers) =>  ~ ( (K=k2_xtuple_0(k1_funct_1(A, I)) &  (k1_funct_1(C, k1_nat_1(I, 1))=k3_xcmplx_0(k1_funct_1(C, I), K) &  (L=k1_funct_1(C, k1_nat_1(I, 1)) &  (J=k2_xtuple_0(k1_funct_1(A, k1_nat_1(I, 1))) &  (k1_funct_1(F, I)=k3_ntalgo_1(L, J) & k1_funct_1(E, I)=L) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (G=k2_xtuple_0(k1_funct_1(A, k3_finseq_1(C))) &  (H=k3_xcmplx_0(k1_funct_1(E, k6_xcmplx_0(k3_finseq_1(C), 1)), G) &  (k1_funct_1(D, 1)=k1_xtuple_0(k1_funct_1(A, 1)) &  ( (! [I] :  (v7_ordinal1(I) =>  ~ ( (r1_xxreal_0(1, I) &  (r1_xxreal_0(I, k6_xcmplx_0(k3_finseq_1(C), 1)) &  (! [J] :  (m1_subset_1(J, k4_numbers) =>  (! [K] :  (m1_subset_1(K, k4_numbers) =>  (! [L] :  (m1_subset_1(L, k4_numbers) =>  ~ ( (K=k1_xtuple_0(k1_funct_1(A, k1_nat_1(I, 1))) &  (L=k2_xtuple_0(k1_funct_1(A, k1_nat_1(I, 1))) &  (J=k5_int_1(k3_xcmplx_0(k6_xcmplx_0(K, k1_funct_1(D, I)), k1_funct_1(F, I)), L) & k1_funct_1(D, k1_nat_1(I, 1))=k2_xcmplx_0(k1_funct_1(D, I), k3_xcmplx_0(J, k1_funct_1(E, I)))) ) ) ) ) ) ) ) ) ) ) ) ) ) )  & B=k5_int_1(k1_funct_1(D, k3_finseq_1(C)), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_ntalgo_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  ( ~ (B=k5_numbers)  => r2_int_1(k5_int_1(A, B), A, B)) ) ) ) ) ).
fof(t9_ntalgo_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  ( ~ (B=k5_numbers)  => k3_int_2(k5_int_1(A, B), B)=k3_int_2(A, B)) ) ) ) ) ).
fof(t10_ntalgo_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ( (A=k5_int_1(B, C) & r1_int_2(B, C))  =>  (C=k5_numbers | r1_int_2(A, C)) ) ) ) ) ) ) ) ).
fof(t11_ntalgo_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, k2_zfmisc_1(k4_numbers, k4_numbers)))  =>  (! [B] :  (m2_finseq_1(B, k4_numbers) =>  (! [C] :  (m2_finseq_1(C, k4_numbers) =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (k3_finseq_1(B)=k3_finseq_1(A) &  ( (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(D, k2_finseq_1(k3_finseq_1(A))) & k1_funct_1(C, D)=k5_numbers) ) ) )  &  ( (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k2_finseq_1(k3_finseq_1(A))) =>  (k1_xtuple_0(k1_funct_1(A, D))=k1_funct_1(B, D) & k2_xtuple_0(k1_funct_1(A, D))=k1_funct_1(C, D)) ) ) )  &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(D, k2_finseq_1(k3_finseq_1(A))) & r2_tarski(E, k2_finseq_1(k3_finseq_1(A))))  =>  (D=E | r1_int_2(k1_funct_1(C, D), k1_funct_1(C, E))) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k2_finseq_1(k3_finseq_1(A))) => k5_int_1(k4_ntalgo_1(A), k1_funct_1(C, D))=k5_int_1(k1_funct_1(B, D), k1_funct_1(C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t12_ntalgo_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m2_finseq_1(C, k4_numbers))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m2_finseq_1(D, k4_numbers))  =>  ( (r1_xxreal_0(2, k3_finseq_1(C)) &  ( (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r2_tarski(E, k2_finseq_1(k3_finseq_1(C))) & r2_tarski(F, k2_finseq_1(k3_finseq_1(C))))  =>  (E=F | r1_int_2(k1_funct_1(C, E), k1_funct_1(C, F))) ) ) ) ) )  &  ( (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k2_finseq_1(k3_finseq_1(C))) => k5_int_1(A, k1_funct_1(C, E))=k5_int_1(B, k1_funct_1(C, E))) ) )  & k1_funct_1(D, 1)=1) ) )  =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, k3_finseq_1(C)) &  (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(1, F) & r1_xxreal_0(F, E))  => k1_funct_1(D, k1_nat_1(F, 1))=k3_xcmplx_0(k1_funct_1(D, F), k1_funct_1(C, F))) ) ) ) )  => k5_int_1(A, k1_funct_1(D, k1_nat_1(E, 1)))=k5_int_1(B, k1_funct_1(D, k1_nat_1(E, 1)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_ntalgo_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_valued_0(A)) ) )  =>  (k3_finseq_1(A)=1 => k19_rvsum_1(A)=k1_funct_1(A, 1)) ) ) ).
fof(t14_ntalgo_1, axiom,  (! [A] :  (m2_finseq_1(A, k4_numbers) =>  (? [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, k4_numbers))  &  (k3_finseq_1(B)=k1_nat_1(k3_finseq_1(A), 1) &  (k1_funct_1(B, 1)=1 &  ( (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, k3_finseq_1(A)))  => k1_funct_1(B, k1_nat_1(C, 1))=k3_xcmplx_0(k1_funct_1(B, C), k1_funct_1(A, C))) ) )  & k19_rvsum_1(A)=k1_funct_1(B, k1_nat_1(k3_finseq_1(A), 1))) ) ) ) ) ) ) ).
fof(t15_ntalgo_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, k2_zfmisc_1(k4_numbers, k4_numbers)))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, k4_numbers))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m2_finseq_1(C, k4_numbers))  =>  (! [D] :  (m1_subset_1(D, k4_numbers) =>  (! [E] :  (m1_subset_1(E, k4_numbers) =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (k3_finseq_1(B)=k3_finseq_1(A) &  ( (! [F] :  (v7_ordinal1(F) =>  ~ ( (r2_tarski(F, k2_finseq_1(k3_finseq_1(A))) & k1_funct_1(C, F)=k5_numbers) ) ) )  &  ( (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k2_finseq_1(k3_finseq_1(A))) =>  (k1_xtuple_0(k1_funct_1(A, F))=k1_funct_1(B, F) & k2_xtuple_0(k1_funct_1(A, F))=k1_funct_1(C, F)) ) ) )  &  ( (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ( (r2_tarski(F, k2_finseq_1(k3_finseq_1(A))) & r2_tarski(G, k2_finseq_1(k3_finseq_1(A))))  =>  (F=G | r1_int_2(k1_funct_1(C, F), k1_funct_1(C, G))) ) ) ) ) )  &  ( (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k2_finseq_1(k3_finseq_1(A))) => k5_int_1(D, k1_funct_1(C, F))=k5_int_1(k1_funct_1(B, F), k1_funct_1(C, F))) ) )  & E=k19_rvsum_1(C)) ) ) ) ) )  => k5_int_1(k4_ntalgo_1(A), E)=k5_int_1(D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_ntalgo_1, axiom,  ( (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, f1_s1_ntalgo_1) =>  (! [C] :  (m1_subset_1(C, f2_s1_ntalgo_1) =>  (! [D] :  (m1_subset_1(D, f3_s1_ntalgo_1) =>  (! [E] :  (m1_subset_1(E, f4_s1_ntalgo_1) =>  (? [F] :  (m1_subset_1(F, f1_s1_ntalgo_1) &  (? [G] :  (m1_subset_1(G, f2_s1_ntalgo_1) &  (? [H] :  (m1_subset_1(H, f3_s1_ntalgo_1) &  (? [I] :  (m1_subset_1(I, f4_s1_ntalgo_1) & p1_s1_ntalgo_1(A, B, C, D, E, F, G, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, f1_s1_ntalgo_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f1_s1_ntalgo_1)))) )  &  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, f2_s1_ntalgo_1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f2_s1_ntalgo_1)))) )  &  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, f3_s1_ntalgo_1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f3_s1_ntalgo_1)))) )  &  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, f4_s1_ntalgo_1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f4_s1_ntalgo_1)))) )  &  (k8_nat_1(f1_s1_ntalgo_1, A, k5_numbers)=f5_s1_ntalgo_1 &  (k8_nat_1(f2_s1_ntalgo_1, B, k5_numbers)=f6_s1_ntalgo_1 &  (k8_nat_1(f3_s1_ntalgo_1, C, k5_numbers)=f7_s1_ntalgo_1 &  (k8_nat_1(f4_s1_ntalgo_1, D, k5_numbers)=f8_s1_ntalgo_1 &  (! [E] :  (v7_ordinal1(E) => p1_s1_ntalgo_1(E, k8_nat_1(f1_s1_ntalgo_1, A, E), k8_nat_1(f2_s1_ntalgo_1, B, E), k8_nat_1(f3_s1_ntalgo_1, C, E), k8_nat_1(f4_s1_ntalgo_1, D, E), k8_nat_1(f1_s1_ntalgo_1, A, k1_nat_1(E, 1)), k8_nat_1(f2_s1_ntalgo_1, B, k1_nat_1(E, 1)), k8_nat_1(f3_s1_ntalgo_1, C, k1_nat_1(E, 1)), k8_nat_1(f4_s1_ntalgo_1, D, k1_nat_1(E, 1)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_ntalgo_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => m1_subset_1(k1_ntalgo_1(A, B), k4_ordinal1)) ) ).
fof(dt_f1_s1_ntalgo_1, axiom,  ~ (v1_xboole_0(f1_s1_ntalgo_1)) ).
fof(dt_f2_s1_ntalgo_1, axiom,  ~ (v1_xboole_0(f2_s1_ntalgo_1)) ).
fof(dt_f3_s1_ntalgo_1, axiom,  ~ (v1_xboole_0(f3_s1_ntalgo_1)) ).
fof(dt_f4_s1_ntalgo_1, axiom,  ~ (v1_xboole_0(f4_s1_ntalgo_1)) ).
fof(dt_f5_s1_ntalgo_1, axiom, m1_subset_1(f5_s1_ntalgo_1, f1_s1_ntalgo_1)).
fof(dt_f6_s1_ntalgo_1, axiom, m1_subset_1(f6_s1_ntalgo_1, f2_s1_ntalgo_1)).
fof(dt_f7_s1_ntalgo_1, axiom, m1_subset_1(f7_s1_ntalgo_1, f3_s1_ntalgo_1)).
fof(dt_f8_s1_ntalgo_1, axiom, m1_subset_1(f8_s1_ntalgo_1, f4_s1_ntalgo_1)).
fof(dt_k2_ntalgo_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_numbers) & m1_subset_1(B, k4_numbers))  => m1_subset_1(k2_ntalgo_1(A, B), k3_zfmisc_1(k4_numbers, k4_numbers, k4_numbers))) ) ).
fof(dt_k3_ntalgo_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_numbers) & m1_subset_1(B, k4_numbers))  => m1_subset_1(k3_ntalgo_1(A, B), k4_numbers)) ) ).
fof(dt_k4_ntalgo_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(A, k2_zfmisc_1(k4_numbers, k4_numbers)))  => m1_subset_1(k4_ntalgo_1(A), k4_numbers)) ) ).
fof(d1_ntalgo_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (C=k1_ntalgo_1(A, B) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_ordinal1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  &  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k4_ordinal1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  &  (k8_nat_1(k4_ordinal1, D, k5_numbers)=k1_int_2(A) &  (k8_nat_1(k4_ordinal1, E, k5_numbers)=k1_int_2(B) &  ( (! [F] :  (v7_ordinal1(F) =>  (k8_nat_1(k4_ordinal1, D, k1_nat_1(F, 1))=k8_nat_1(k4_ordinal1, E, F) & k8_nat_1(k4_ordinal1, E, k1_nat_1(F, 1))=k4_nat_d(k8_nat_1(k4_ordinal1, D, F), k8_nat_1(k4_ordinal1, E, F))) ) )  & C=k8_nat_1(k4_ordinal1, D, k3_nat_1(a_1_0_ntalgo_1(E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_ntalgo_1, axiom,  (! [A] :  (m1_subset_1(A, k4_numbers) =>  (! [B] :  (m1_subset_1(B, k4_numbers) =>  (! [C] :  (m1_subset_1(C, k3_zfmisc_1(k4_numbers, k4_numbers, k4_numbers)) =>  (C=k2_ntalgo_1(A, B) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_numbers)))) )  &  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k4_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_numbers)))) )  &  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k4_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_numbers)))) )  &  (? [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, k4_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_numbers)))) )  &  (? [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k4_ordinal1, k4_numbers) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_numbers)))) )  &  (? [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, k4_ordinal1, k4_numbers) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_numbers)))) )  &  (? [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, k4_ordinal1, k4_numbers) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_numbers)))) )  &  (? [K] :  ( (v1_funct_1(K) &  (v1_funct_2(K, k4_ordinal1, k4_numbers) & m1_subset_1(K, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_numbers)))) )  &  (? [L] :  (v7_ordinal1(L) &  (k8_nat_1(k4_numbers, H, k5_numbers)=1 &  (k8_nat_1(k4_numbers, I, k5_numbers)=k5_numbers &  (k8_nat_1(k4_numbers, D, k5_numbers)=A &  (k8_nat_1(k4_numbers, F, k5_numbers)=k5_numbers &  (k8_nat_1(k4_numbers, K, k5_numbers)=k5_numbers &  (k8_nat_1(k4_numbers, J, k5_numbers)=1 &  (k8_nat_1(k4_numbers, E, k5_numbers)=B &  (k8_nat_1(k4_numbers, G, k5_numbers)=k5_numbers &  ( (! [M] :  (v7_ordinal1(M) =>  (k8_nat_1(k4_numbers, F, k1_nat_1(M, 1))=k4_int_1(k8_nat_1(k4_numbers, D, M), k8_nat_1(k4_numbers, E, M)) &  (k8_nat_1(k4_numbers, G, k1_nat_1(M, 1))=k5_int_1(k8_nat_1(k4_numbers, D, M), k8_nat_1(k4_numbers, E, M)) &  (k8_nat_1(k4_numbers, H, k1_nat_1(M, 1))=k8_nat_1(k4_numbers, K, M) &  (k8_nat_1(k4_numbers, I, k1_nat_1(M, 1))=k8_nat_1(k4_numbers, J, M) &  (k8_nat_1(k4_numbers, D, k1_nat_1(M, 1))=k8_nat_1(k4_numbers, E, M) &  (k8_nat_1(k4_numbers, K, k1_nat_1(M, 1))=k6_xcmplx_0(k8_nat_1(k4_numbers, H, M), k3_xcmplx_0(k8_nat_1(k4_numbers, F, k1_nat_1(M, 1)), k8_nat_1(k4_numbers, K, M))) &  (k8_nat_1(k4_numbers, J, k1_nat_1(M, 1))=k6_xcmplx_0(k8_nat_1(k4_numbers, I, M), k3_xcmplx_0(k8_nat_1(k4_numbers, F, k1_nat_1(M, 1)), k8_nat_1(k4_numbers, J, M))) & k8_nat_1(k4_numbers, E, k1_nat_1(M, 1))=k8_nat_1(k4_numbers, G, k1_nat_1(M, 1))) ) ) ) ) ) ) ) )  &  (L=k3_nat_1(a_1_1_ntalgo_1(E)) &  ( (r1_xxreal_0(k5_numbers, k8_nat_1(k4_numbers, D, L)) => C=k3_xtuple_0(k8_nat_1(k4_numbers, H, L), k8_nat_1(k4_numbers, I, L), k8_nat_1(k4_numbers, D, L)))  &  ( ~ (r1_xxreal_0(k5_numbers, k8_nat_1(k4_numbers, D, L)))  => C=k3_xtuple_0(k4_xcmplx_0(k8_nat_1(k4_numbers, H, L)), k4_xcmplx_0(k8_nat_1(k4_numbers, I, L)), k4_xcmplx_0(k8_nat_1(k4_numbers, D, L)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_ntalgo_1, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  =>  (r2_hidden(A, a_1_0_ntalgo_1(B)) <=>  (? [C] :  (v7_ordinal1(C) &  (A=C & k8_nat_1(k4_ordinal1, B, C)=k5_numbers) ) ) ) ) ) ).
fof(fraenkel_a_1_1_ntalgo_1, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_numbers)))) )  =>  (r2_hidden(A, a_1_1_ntalgo_1(B)) <=>  (? [C] :  (v7_ordinal1(C) &  (A=C & k8_nat_1(k4_numbers, B, C)=k5_numbers) ) ) ) ) ) ).
fof(fc1_numbers, axiom,  ~ (v1_xboole_0(k1_numbers)) ).
fof(fc2_numbers, axiom,  ~ (v1_xboole_0(k2_numbers)) ).
fof(fc3_numbers, axiom,  ~ (v1_xboole_0(k3_numbers)) ).
fof(fc4_numbers, axiom,  ~ (v1_xboole_0(k4_numbers)) ).
fof(fc5_numbers, axiom,  ~ (v1_xboole_0(k6_numbers)) ).
fof(fc6_numbers, axiom,  ~ (v1_finset_1(k4_numbers)) ).
fof(fc7_numbers, axiom,  ~ (v1_finset_1(k3_numbers)) ).
fof(fc8_numbers, axiom,  ~ (v1_finset_1(k1_numbers)) ).
fof(fc9_numbers, axiom,  ~ (v1_finset_1(k2_numbers)) ).
fof(d1_numbers, axiom, k1_numbers=k6_subset_1(k2_xboole_0(k2_arytm_2, k2_zfmisc_1(k1_tarski(k5_ordinal1), k2_arytm_2)), k1_tarski(k4_tarski(k5_ordinal1, k5_ordinal1)))).
fof(d3_numbers, axiom, k3_numbers=k6_subset_1(k2_xboole_0(k5_arytm_3, k2_zfmisc_1(k1_tarski(k5_ordinal1), k5_arytm_3)), k1_tarski(k4_tarski(k5_ordinal1, k5_ordinal1)))).
fof(d4_numbers, axiom, k4_numbers=k6_subset_1(k2_xboole_0(k4_ordinal1, k2_zfmisc_1(k1_tarski(k5_ordinal1), k4_ordinal1)), k1_tarski(k4_tarski(k5_ordinal1, k5_ordinal1)))).
fof(t1_numbers, axiom, r2_xboole_0(k1_numbers, k2_numbers)).
fof(t2_numbers, axiom, r2_xboole_0(k3_numbers, k1_numbers)).
fof(t3_numbers, axiom, r2_xboole_0(k3_numbers, k2_numbers)).
fof(t4_numbers, axiom, r2_xboole_0(k4_numbers, k3_numbers)).
fof(t5_numbers, axiom, r2_xboole_0(k4_numbers, k1_numbers)).
fof(t6_numbers, axiom, r2_xboole_0(k4_numbers, k2_numbers)).
fof(t7_numbers, axiom, r2_xboole_0(k4_ordinal1, k4_numbers)).
fof(t8_numbers, axiom, r2_xboole_0(k4_ordinal1, k3_numbers)).
fof(t9_numbers, axiom, r2_xboole_0(k4_ordinal1, k1_numbers)).
fof(t10_numbers, axiom, r2_xboole_0(k4_ordinal1, k2_numbers)).
fof(t11_numbers, axiom, r1_tarski(k1_numbers, k2_numbers)).
fof(t12_numbers, axiom, r1_tarski(k3_numbers, k1_numbers)).
fof(t13_numbers, axiom, r1_tarski(k3_numbers, k2_numbers)).
fof(t14_numbers, axiom, r1_tarski(k4_numbers, k3_numbers)).
fof(t15_numbers, axiom, r1_tarski(k4_numbers, k1_numbers)).
fof(t16_numbers, axiom, r1_tarski(k4_numbers, k2_numbers)).
fof(t17_numbers, axiom, r1_tarski(k4_ordinal1, k4_numbers)).
fof(t18_numbers, axiom, r1_tarski(k4_ordinal1, k3_numbers)).
fof(t19_numbers, axiom, r1_tarski(k4_ordinal1, k1_numbers)).
fof(t20_numbers, axiom, r1_tarski(k4_ordinal1, k2_numbers)).
fof(t21_numbers, axiom,  ~ (k1_numbers=k2_numbers) ).
fof(t22_numbers, axiom,  ~ (k3_numbers=k1_numbers) ).
fof(t23_numbers, axiom,  ~ (k3_numbers=k2_numbers) ).
fof(t24_numbers, axiom,  ~ (k4_numbers=k3_numbers) ).
fof(t25_numbers, axiom,  ~ (k4_numbers=k1_numbers) ).
fof(t26_numbers, axiom,  ~ (k4_numbers=k2_numbers) ).
fof(t27_numbers, axiom,  ~ (k4_ordinal1=k4_numbers) ).
fof(t28_numbers, axiom,  ~ (k4_ordinal1=k3_numbers) ).
fof(t29_numbers, axiom,  ~ (k4_ordinal1=k1_numbers) ).
fof(t30_numbers, axiom,  ~ (k4_ordinal1=k2_numbers) ).
fof(d5_numbers, axiom, k6_numbers=k2_xboole_0(k1_numbers, k2_tarski(k1_numbers, k4_tarski(k5_numbers, k1_numbers)))).
fof(t31_numbers, axiom, r1_tarski(k1_numbers, k6_numbers)).
fof(t32_numbers, axiom,  ~ (k1_numbers=k6_numbers) ).
fof(t33_numbers, axiom, r2_xboole_0(k1_numbers, k6_numbers)).
fof(dt_k5_numbers, axiom, m1_subset_1(k5_numbers, k4_ordinal1)).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1).
fof(d2_numbers, axiom, k2_numbers=k2_xboole_0(k6_subset_1(k9_funct_2(k2_tarski(k5_ordinal1, 1), k1_numbers), a_0_0_numbers), k1_numbers)).
fof(fraenkel_a_0_0_numbers, axiom,  (! [A] :  (r2_hidden(A, a_0_0_numbers) <=>  (? [B] :  (m2_funct_2(B, k2_tarski(k5_ordinal1, 1), k1_numbers, k9_funct_2(k2_tarski(k5_ordinal1, 1), k1_numbers)) &  (A=B & k1_funct_1(B, 1)=k5_ordinal1) ) ) ) ) ).
fof(t1_numeral1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (v1_relat_1(k5_relset_1(k4_ordinal1, k1_numbers, k26_valued_1(k4_ordinal1, k1_numbers, k1_prepower(B), A), C)) &  (v5_relat_1(k5_relset_1(k4_ordinal1, k1_numbers, k26_valued_1(k4_ordinal1, k1_numbers, k1_prepower(B), A), C), k4_ordinal1) &  (v1_funct_1(k5_relset_1(k4_ordinal1, k1_numbers, k26_valued_1(k4_ordinal1, k1_numbers, k1_prepower(B), A), C)) &  (v5_ordinal1(k5_relset_1(k4_ordinal1, k1_numbers, k26_valued_1(k4_ordinal1, k1_numbers, k1_prepower(B), A), C)) & v1_finset_1(k5_relset_1(k4_ordinal1, k1_numbers, k26_valued_1(k4_ordinal1, k1_numbers, k1_prepower(B), A), C))) ) ) ) ) ) ) ) ) ) ).
fof(t2_numeral1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k1_relset_1(k4_ordinal1, A)) => r1_nat_d(B, k1_recdef_1(A, C))) ) )  => r1_nat_d(B, k7_afinsq_2(A))) ) ) ) ) ).
fof(t3_numeral1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( (k1_relset_1(k4_ordinal1, A)=k1_relset_1(k4_ordinal1, B) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k1_relset_1(k4_ordinal1, A)) => k1_recdef_1(B, D)=k4_nat_d(k1_recdef_1(A, D), C)) ) ) )  => k4_nat_d(k7_afinsq_2(A), C)=k4_nat_d(k7_afinsq_2(B), C)) ) ) ) ) ) ) ).
fof(d1_numeral1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (C=k1_numeral1(A, B) <=>  (? [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, k4_ordinal1) &  (v1_funct_1(D) &  (v5_ordinal1(D) & v1_finset_1(D)) ) ) )  &  (k1_relset_1(k4_ordinal1, D)=k1_relset_1(k4_ordinal1, A) &  ( (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k1_relset_1(k4_ordinal1, D)) => k1_recdef_1(D, E)=k3_xcmplx_0(k1_recdef_1(A, E), k1_newton(B, E))) ) )  & C=k7_afinsq_2(D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_numeral1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(B, 1))  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  (v5_ordinal1(C) & v1_finset_1(C)) ) ) )  =>  ( ( ~ (A=k5_numbers)  =>  (C=k2_numeral1(A, B) <=>  (k1_numeral1(C, B)=A &  ( ~ (k1_recdef_1(C, k6_xcmplx_0(k1_afinsq_1(C), 1))=k5_numbers)  &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k1_relset_1(k4_ordinal1, C)) =>  (r1_xxreal_0(k5_numbers, k1_recdef_1(C, D)) &  ~ (r1_xxreal_0(B, k1_recdef_1(C, D))) ) ) ) ) ) ) ) )  &  (A=k5_numbers =>  (C=k2_numeral1(A, B) <=> C=k5_afinsq_1(k5_numbers)) ) ) ) ) ) ) ) ) ) ).
fof(t4_numeral1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(B, 1))  => r1_xxreal_0(1, k1_afinsq_1(k2_numeral1(A, B)))) ) ) ) ) ).
fof(t5_numeral1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(B, 1))  => k1_numeral1(k2_numeral1(A, B), B)=A) ) ) ) ) ).
fof(t6_numeral1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (B=k6_xcmplx_0(k1_newton(10, A), 1) => r1_nat_d(9, B)) ) ) ) ) ).
fof(t7_numeral1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(B, 1))  =>  (r1_nat_d(B, A) <=> k1_recdef_1(k2_numeral1(A, B), k5_numbers)=k5_numbers) ) ) ) ) ) ).
fof(t8_numeral1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(2, A) <=> r1_nat_d(2, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))) ) ) ).
fof(t9_numeral1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(3, A) <=> r1_nat_d(3, k7_afinsq_2(k2_numeral1(A, 10)))) ) ) ).
fof(t10_numeral1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(5, A) <=> r1_nat_d(5, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))) ) ) ).
fof(dt_k1_numeral1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) ) )  & v7_ordinal1(B))  => v7_ordinal1(k1_numeral1(A, B))) ) ).
fof(dt_k2_numeral1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  =>  (v1_relat_1(k2_numeral1(A, B)) &  (v5_relat_1(k2_numeral1(A, B), k4_ordinal1) &  (v1_funct_1(k2_numeral1(A, B)) &  (v5_ordinal1(k2_numeral1(A, B)) & v1_finset_1(k2_numeral1(A, B))) ) ) ) ) ) ).
fof(fc1_numeral2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_ordinal1(A)) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k9_xtuple_0(A), k9_xtuple_0(A)) &  (v3_funct_2(B, k9_xtuple_0(A), k9_xtuple_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_xtuple_0(A), k9_xtuple_0(A))))) ) ) )  =>  (v1_relat_1(k3_relat_1(B, A)) & v5_ordinal1(k3_relat_1(B, A))) ) ) ).
fof(t1_numeral2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v5_ordinal1(A) & v1_finset_1(A)) ) ) )  => k5_relat_1(A, 1)=k5_afinsq_1(k1_funct_1(A, k5_numbers))) ) ).
fof(t2_numeral2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v5_ordinal1(A) & v1_finset_1(A)) ) ) )  => A=k1_ordinal4(k5_afinsq_1(k1_funct_1(A, k5_numbers)), k2_afinsq_2(A, 1))) ) ).
fof(t3_numeral2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) )  => k3_afinsq_2(A, 2, k1_afinsq_1(A))=k2_afinsq_2(A, 1)) ) ).
fof(t4_numeral2, axiom,  (! [A] :  ( (v1_finset_1(A) & v6_membered(A))  =>  (! [B] :  ( (v1_finset_1(B) & v6_membered(B))  =>  (r1_xboole_0(A, B) => k2_afinsq_1(k1_ordinal4(k4_afinsq_2(A), k4_afinsq_2(B)))=k2_afinsq_1(k4_afinsq_2(k2_xboole_0(A, B)))) ) ) ) ) ).
fof(t5_numeral2, axiom,  (! [A] :  ( (v1_finset_1(A) & v6_membered(A))  =>  (! [B] :  ( (v1_finset_1(B) & v6_membered(B))  => k2_relset_1(k4_ordinal1, k1_ordinal4(k4_afinsq_2(A), k4_afinsq_2(B)))=k2_relset_1(k4_ordinal1, k4_afinsq_2(k2_xboole_0(A, B)))) ) ) ) ).
fof(t6_numeral2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) )  =>  (! [B] : k2_afinsq_1(k5_afinsq_2(A, B))=k2_afinsq_1(k4_afinsq_2(k9_subset_1(k4_ordinal1, B, k2_afinsq_1(A))))) ) ) ).
fof(t7_numeral2, axiom, r1_xboole_0(k3_fib_num2, k4_fib_num2)).
fof(t8_numeral2, axiom, k4_subset_1(k4_ordinal1, k3_fib_num2, k4_fib_num2)=k4_ordinal1).
fof(t9_numeral2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  (! [C] :  ~ ( (r1_xboole_0(B, C) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_afinsq_1(k5_afinsq_2(A, k2_xboole_0(B, C))), k2_afinsq_1(k5_afinsq_2(A, k2_xboole_0(B, C)))) &  (v3_funct_2(D, k2_afinsq_1(k5_afinsq_2(A, k2_xboole_0(B, C))), k2_afinsq_1(k5_afinsq_2(A, k2_xboole_0(B, C)))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_afinsq_1(k5_afinsq_2(A, k2_xboole_0(B, C))), k2_afinsq_1(k5_afinsq_2(A, k2_xboole_0(B, C))))))) ) )  =>  ~ (k3_relat_1(D, k5_afinsq_2(A, k2_xboole_0(B, C)))=k1_ordinal4(k5_afinsq_2(A, B), k5_afinsq_2(A, C))) ) ) ) ) ) ) ) ) ).
fof(t10_numeral2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v1_finset_1(A) & v1_valued_0(A)) ) ) )  =>  (! [B] :  (! [C] :  (r1_xboole_0(B, C) => k7_afinsq_2(k5_afinsq_2(A, k2_xboole_0(B, C)))=k2_xcmplx_0(k7_afinsq_2(k5_afinsq_2(A, B)), k7_afinsq_2(k5_afinsq_2(A, C)))) ) ) ) ) ).
fof(t11_numeral2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) )  => A=k5_afinsq_2(A, k4_ordinal1)) ) ).
fof(t12_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k2_afinsq_1(k4_afinsq_2(k9_subset_1(k4_ordinal1, A, k3_fib_num2)))) => k1_recdef_1(k4_afinsq_2(k9_subset_1(k4_ordinal1, A, k3_fib_num2)), B)=k3_xcmplx_0(2, B)) ) ) ) ) ).
fof(t13_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k2_afinsq_1(k4_afinsq_2(k9_subset_1(k4_ordinal1, A, k4_fib_num2)))) => k1_recdef_1(k4_afinsq_2(k9_subset_1(k4_ordinal1, A, k4_fib_num2)), B)=k1_nat_1(k3_xcmplx_0(2, B), 1)) ) ) ) ) ).
fof(t14_numeral2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) => k5_int_1(k5_int_1(A, B), B)=k5_int_1(A, B)) ) ) ) ).
fof(t15_numeral2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  (k5_int_1(A, D)=k5_int_1(B, D) => k5_int_1(k2_xcmplx_0(C, A), D)=k5_int_1(k2_xcmplx_0(C, B), D)) ) ) ) ) ) ) ) ) ).
fof(t16_numeral2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) ) )  =>  (! [B] :  (v1_int_1(B) =>  ( (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k2_afinsq_1(A)) => r1_int_1(B, k1_funct_1(A, C))) ) )  => r1_int_1(B, k7_afinsq_2(A))) ) ) ) ) ).
fof(t17_numeral2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k4_numbers) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) )  =>  (! [C] :  (v1_int_1(C) =>  ( (k2_afinsq_1(A)=k2_afinsq_1(B) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k2_afinsq_1(A)) => k1_funct_1(B, D)=k5_int_1(k1_funct_1(A, D), C)) ) ) )  => k5_int_1(k7_afinsq_2(A), C)=k5_int_1(k7_afinsq_2(B), C)) ) ) ) ) ) ) ).
fof(t18_numeral2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_finset_1(B)) ) ) )  =>  (! [C] :  (v1_int_1(C) =>  ( (k2_afinsq_1(A)=k2_afinsq_1(B) &  (! [D] :  (r2_hidden(D, k2_afinsq_1(A)) => k1_funct_1(A, D)=k3_xcmplx_0(C, k1_funct_1(B, D))) ) )  => k7_afinsq_2(A)=k3_xcmplx_0(C, k7_afinsq_2(B))) ) ) ) ) ) ) ).
fof(t19_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(B, 1))  => A=k1_nat_1(k3_xcmplx_0(B, k1_numeral1(k3_afinsq_2(k2_numeral1(A, B), 2, k1_afinsq_1(k2_numeral1(A, B))), B)), k1_recdef_1(k2_numeral1(A, B), k5_numbers))) ) ) ) ) ).
fof(t20_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (B=k6_xcmplx_0(k1_newton(10, k3_xcmplx_0(2, A)), 1) => r1_nat_d(11, B)) ) ) ) ) ).
fof(t21_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (B=k1_nat_1(k11_newton(10, k1_nat_1(k3_xcmplx_0(2, A), 1)), 1) => r1_nat_d(11, B)) ) ) ) ) ).
fof(t22_numeral2, axiom, r1_int_2(7, 10)).
fof(t23_numeral2, axiom, v1_int_2(29)).
fof(t24_numeral2, axiom, v1_int_2(31)).
fof(t25_numeral2, axiom, v1_int_2(41)).
fof(t26_numeral2, axiom, v1_int_2(47)).
fof(t27_numeral2, axiom, v1_int_2(53)).
fof(t28_numeral2, axiom, v1_int_2(59)).
fof(t29_numeral2, axiom, v1_int_2(61)).
fof(t30_numeral2, axiom, v1_int_2(67)).
fof(t31_numeral2, axiom, v1_int_2(71)).
fof(t32_numeral2, axiom, v1_int_2(73)).
fof(t33_numeral2, axiom, v1_int_2(79)).
fof(t34_numeral2, axiom, v1_int_2(89)).
fof(t35_numeral2, axiom, v1_int_2(97)).
fof(t36_numeral2, axiom, v1_int_2(101)).
fof(t37_numeral2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_int_2(A, D) =>  ( (! [E] :  (v7_ordinal1(E) =>  ~ (k1_nat_1(k3_xcmplx_0(D, C), 1)=k3_xcmplx_0(A, E)) ) )  |  (r1_xxreal_0(D, 1) |  (r1_nat_d(A, B) <=> r1_int_1(A, k6_xcmplx_0(k1_numeral1(k3_afinsq_2(k2_numeral1(B, D), 2, k1_afinsq_1(k2_numeral1(B, D))), D), k3_xcmplx_0(C, k1_recdef_1(k2_numeral1(B, D), k5_numbers))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_numeral2, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_int_2(A, D) =>  ( (! [E] :  (v7_ordinal1(E) =>  ~ (k6_xcmplx_0(k3_xcmplx_0(D, C), 1)=k3_xcmplx_0(A, E)) ) )  |  (r1_xxreal_0(D, 1) |  (r1_nat_d(A, B) <=> r1_nat_d(A, k2_xcmplx_0(k1_numeral1(k3_afinsq_2(k2_numeral1(B, D), 2, k1_afinsq_1(k2_numeral1(B, D))), D), k3_xcmplx_0(C, k1_recdef_1(k2_numeral1(B, D), k5_numbers))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(7, A) <=> r1_int_1(7, k6_xcmplx_0(k1_numeral1(k3_afinsq_2(k2_numeral1(A, 10), 2, k1_afinsq_1(k2_numeral1(A, 10))), 10), k2_nat_1(2, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t40_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(7, A) <=> r1_int_1(7, k6_xcmplx_0(k1_numeral1(k2_afinsq_2(k2_numeral1(A, 10), 1), 10), k2_nat_1(2, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t41_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(11, A) <=> r1_int_1(11, k6_xcmplx_0(k1_numeral1(k3_afinsq_2(k2_numeral1(A, 10), 2, k1_afinsq_1(k2_numeral1(A, 10))), 10), k1_recdef_1(k2_numeral1(A, 10), k5_numbers)))) ) ) ).
fof(t42_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(11, A) <=> r1_int_1(11, k6_xcmplx_0(k1_numeral1(k2_afinsq_2(k2_numeral1(A, 10), 1), 10), k1_recdef_1(k2_numeral1(A, 10), k5_numbers)))) ) ) ).
fof(t43_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(11, A) <=> r1_int_1(11, k6_xcmplx_0(k7_afinsq_2(k5_afinsq_2(k2_numeral1(A, 10), k3_fib_num2)), k7_afinsq_2(k5_afinsq_2(k2_numeral1(A, 10), k4_fib_num2))))) ) ) ).
fof(t44_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(13, A) <=> r1_nat_d(13, k1_nat_1(k1_numeral1(k3_afinsq_2(k2_numeral1(A, 10), 2, k1_afinsq_1(k2_numeral1(A, 10))), 10), k2_nat_1(4, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t45_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(13, A) <=> r1_nat_d(13, k1_nat_1(k1_numeral1(k2_afinsq_2(k2_numeral1(A, 10), 1), 10), k2_nat_1(4, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t46_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(17, A) <=> r1_int_1(17, k6_xcmplx_0(k1_numeral1(k3_afinsq_2(k2_numeral1(A, 10), 2, k1_afinsq_1(k2_numeral1(A, 10))), 10), k2_nat_1(5, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t47_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(17, A) <=> r1_int_1(17, k6_xcmplx_0(k1_numeral1(k2_afinsq_2(k2_numeral1(A, 10), 1), 10), k2_nat_1(5, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t48_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(19, A) <=> r1_nat_d(19, k1_nat_1(k1_numeral1(k3_afinsq_2(k2_numeral1(A, 10), 2, k1_afinsq_1(k2_numeral1(A, 10))), 10), k2_nat_1(2, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t49_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(19, A) <=> r1_nat_d(19, k1_nat_1(k1_numeral1(k2_afinsq_2(k2_numeral1(A, 10), 1), 10), k2_nat_1(2, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t50_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(23, A) <=> r1_nat_d(23, k1_nat_1(k1_numeral1(k3_afinsq_2(k2_numeral1(A, 10), 2, k1_afinsq_1(k2_numeral1(A, 10))), 10), k2_nat_1(7, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t51_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(23, A) <=> r1_nat_d(23, k1_nat_1(k1_numeral1(k2_afinsq_2(k2_numeral1(A, 10), 1), 10), k2_nat_1(7, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t52_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(29, A) <=> r1_nat_d(29, k1_nat_1(k1_numeral1(k3_afinsq_2(k2_numeral1(A, 10), 2, k1_afinsq_1(k2_numeral1(A, 10))), 10), k2_nat_1(3, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t53_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(29, A) <=> r1_nat_d(29, k1_nat_1(k1_numeral1(k2_afinsq_2(k2_numeral1(A, 10), 1), 10), k2_nat_1(3, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t54_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(31, A) <=> r1_int_1(31, k6_xcmplx_0(k1_numeral1(k3_afinsq_2(k2_numeral1(A, 10), 2, k1_afinsq_1(k2_numeral1(A, 10))), 10), k2_nat_1(3, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t55_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(31, A) <=> r1_int_1(31, k6_xcmplx_0(k1_numeral1(k2_afinsq_2(k2_numeral1(A, 10), 1), 10), k2_nat_1(3, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t56_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(37, A) <=> r1_int_1(37, k6_xcmplx_0(k1_numeral1(k3_afinsq_2(k2_numeral1(A, 10), 2, k1_afinsq_1(k2_numeral1(A, 10))), 10), k2_nat_1(11, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t57_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(37, A) <=> r1_int_1(37, k6_xcmplx_0(k1_numeral1(k2_afinsq_2(k2_numeral1(A, 10), 1), 10), k2_nat_1(11, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t58_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(41, A) <=> r1_int_1(41, k6_xcmplx_0(k1_numeral1(k3_afinsq_2(k2_numeral1(A, 10), 2, k1_afinsq_1(k2_numeral1(A, 10))), 10), k2_nat_1(4, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t59_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(41, A) <=> r1_int_1(41, k6_xcmplx_0(k1_numeral1(k2_afinsq_2(k2_numeral1(A, 10), 1), 10), k2_nat_1(4, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t60_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(43, A) <=> r1_nat_d(43, k1_nat_1(k1_numeral1(k3_afinsq_2(k2_numeral1(A, 10), 2, k1_afinsq_1(k2_numeral1(A, 10))), 10), k2_nat_1(13, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t61_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(43, A) <=> r1_nat_d(43, k1_nat_1(k1_numeral1(k2_afinsq_2(k2_numeral1(A, 10), 1), 10), k2_nat_1(13, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t62_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(47, A) <=> r1_int_1(47, k6_xcmplx_0(k1_numeral1(k3_afinsq_2(k2_numeral1(A, 10), 2, k1_afinsq_1(k2_numeral1(A, 10))), 10), k2_nat_1(14, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t63_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(47, A) <=> r1_int_1(47, k6_xcmplx_0(k1_numeral1(k2_afinsq_2(k2_numeral1(A, 10), 1), 10), k2_nat_1(14, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t64_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(53, A) <=> r1_nat_d(53, k1_nat_1(k1_numeral1(k3_afinsq_2(k2_numeral1(A, 10), 2, k1_afinsq_1(k2_numeral1(A, 10))), 10), k2_nat_1(16, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t65_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(53, A) <=> r1_nat_d(53, k1_nat_1(k1_numeral1(k2_afinsq_2(k2_numeral1(A, 10), 1), 10), k2_nat_1(16, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t66_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(59, A) <=> r1_nat_d(59, k1_nat_1(k1_numeral1(k3_afinsq_2(k2_numeral1(A, 10), 2, k1_afinsq_1(k2_numeral1(A, 10))), 10), k2_nat_1(6, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t67_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(59, A) <=> r1_nat_d(59, k1_nat_1(k1_numeral1(k2_afinsq_2(k2_numeral1(A, 10), 1), 10), k2_nat_1(6, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t68_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(61, A) <=> r1_int_1(61, k6_xcmplx_0(k1_numeral1(k3_afinsq_2(k2_numeral1(A, 10), 2, k1_afinsq_1(k2_numeral1(A, 10))), 10), k2_nat_1(6, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t69_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(61, A) <=> r1_int_1(61, k6_xcmplx_0(k1_numeral1(k2_afinsq_2(k2_numeral1(A, 10), 1), 10), k2_nat_1(6, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t70_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(67, A) <=> r1_int_1(67, k6_xcmplx_0(k1_numeral1(k3_afinsq_2(k2_numeral1(A, 10), 2, k1_afinsq_1(k2_numeral1(A, 10))), 10), k2_nat_1(20, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t71_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(67, A) <=> r1_int_1(67, k6_xcmplx_0(k1_numeral1(k2_afinsq_2(k2_numeral1(A, 10), 1), 10), k2_nat_1(20, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t72_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(71, A) <=> r1_int_1(71, k6_xcmplx_0(k1_numeral1(k3_afinsq_2(k2_numeral1(A, 10), 2, k1_afinsq_1(k2_numeral1(A, 10))), 10), k2_nat_1(7, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t73_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(71, A) <=> r1_int_1(71, k6_xcmplx_0(k1_numeral1(k2_afinsq_2(k2_numeral1(A, 10), 1), 10), k2_nat_1(7, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t74_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(73, A) <=> r1_nat_d(73, k1_nat_1(k1_numeral1(k3_afinsq_2(k2_numeral1(A, 10), 2, k1_afinsq_1(k2_numeral1(A, 10))), 10), k2_nat_1(22, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t75_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(73, A) <=> r1_nat_d(73, k1_nat_1(k1_numeral1(k2_afinsq_2(k2_numeral1(A, 10), 1), 10), k2_nat_1(22, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t76_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(79, A) <=> r1_nat_d(79, k1_nat_1(k1_numeral1(k3_afinsq_2(k2_numeral1(A, 10), 2, k1_afinsq_1(k2_numeral1(A, 10))), 10), k2_nat_1(8, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t77_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(79, A) <=> r1_nat_d(79, k1_nat_1(k1_numeral1(k2_afinsq_2(k2_numeral1(A, 10), 1), 10), k2_nat_1(8, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t78_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(83, A) <=> r1_nat_d(83, k1_nat_1(k1_numeral1(k3_afinsq_2(k2_numeral1(A, 10), 2, k1_afinsq_1(k2_numeral1(A, 10))), 10), k2_nat_1(25, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t79_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(83, A) <=> r1_nat_d(83, k1_nat_1(k1_numeral1(k2_afinsq_2(k2_numeral1(A, 10), 1), 10), k2_nat_1(25, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t80_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(89, A) <=> r1_nat_d(89, k1_nat_1(k1_numeral1(k3_afinsq_2(k2_numeral1(A, 10), 2, k1_afinsq_1(k2_numeral1(A, 10))), 10), k2_nat_1(9, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t81_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(89, A) <=> r1_nat_d(89, k1_nat_1(k1_numeral1(k2_afinsq_2(k2_numeral1(A, 10), 1), 10), k2_nat_1(9, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t82_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(97, A) <=> r1_int_1(97, k6_xcmplx_0(k1_numeral1(k3_afinsq_2(k2_numeral1(A, 10), 2, k1_afinsq_1(k2_numeral1(A, 10))), 10), k2_nat_1(29, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t83_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(97, A) <=> r1_int_1(97, k6_xcmplx_0(k1_numeral1(k2_afinsq_2(k2_numeral1(A, 10), 1), 10), k2_nat_1(29, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t84_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(101, A) <=> r1_int_1(101, k6_xcmplx_0(k1_numeral1(k3_afinsq_2(k2_numeral1(A, 10), 2, k1_afinsq_1(k2_numeral1(A, 10))), 10), k2_nat_1(10, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(t85_numeral2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(101, A) <=> r1_int_1(101, k6_xcmplx_0(k1_numeral1(k2_afinsq_2(k2_numeral1(A, 10), 1), 10), k2_nat_1(10, k1_recdef_1(k2_numeral1(A, 10), k5_numbers))))) ) ) ).
fof(d1_numeral2, axiom, k3_fib_num2=a_0_0_numeral2).
fof(d2_numeral2, axiom, k4_fib_num2=a_0_1_numeral2).
fof(fraenkel_a_0_0_numeral2, axiom,  (! [A] :  (r2_hidden(A, a_0_0_numeral2) <=>  (? [B] :  (v7_ordinal1(B) &  (A=B & v1_abian(B)) ) ) ) ) ).
fof(fraenkel_a_0_1_numeral2, axiom,  (! [A] :  (r2_hidden(A, a_0_1_numeral2) <=>  (? [B] :  (v7_ordinal1(B) &  (A=B &  ~ (v1_abian(B)) ) ) ) ) ) ).
fof(t1_numerals, axiom, m1_subset_1(k1_xboole_0, k4_ordinal1)).
fof(fc1_numpoly1, axiom,  (! [A] :  (v1_int_1(A) => v1_abian(k3_xcmplx_0(A, k6_xcmplx_0(A, 1)))) ) ).
fof(fc2_numpoly1, axiom,  (! [A] :  (v1_int_1(A) => v1_abian(k3_xcmplx_0(A, k2_xcmplx_0(A, 1)))) ) ).
fof(fc3_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_abian(A))  => v7_ordinal1(k7_xcmplx_0(A, 2))) ) ).
fof(fc4_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_abian(A)) )  => v7_ordinal1(k6_xcmplx_0(A, 1))) ) ).
fof(fc5_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_abian(A)) )  => v1_abian(k6_xcmplx_0(A, 1))) ) ).
fof(cc1_numpoly1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  (v7_ordinal1(A) & v1_ec_pf_2(A, 2)) ) ) ).
fof(cc2_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_ec_pf_2(A, 2))  =>  ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A)) ) ) ).
fof(cc3_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_ec_pf_2(A, 4))  =>  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  & v1_ec_pf_2(A, 3)) ) ) ) ).
fof(cc4_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_ec_pf_2(A, 4))  =>  ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A)) ) ) ).
fof(rc1_numpoly1, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xreal_0(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_int_1(A) &  (v2_int_1(A) & v1_ec_pf_2(A, 4)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_numpoly1, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xreal_0(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_int_1(A) &  (v2_int_1(A) & v1_ec_pf_2(A, 3)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc6_numpoly1, axiom,  (! [A] :  (v8_ordinal1(A) =>  (v8_ordinal1(k1_numpoly1(A)) & v1_xreal_0(k1_numpoly1(A))) ) ) ).
fof(fc7_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_xreal_0(k1_numpoly1(A)) &  ~ (v3_xxreal_0(k1_numpoly1(A))) ) ) ) ).
fof(fc8_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (v1_xreal_0(k1_numpoly1(A)) & v2_xxreal_0(k1_numpoly1(A))) ) ) ).
fof(fc9_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(k1_numpoly1(A)) & v1_xreal_0(k1_numpoly1(A))) ) ) ).
fof(cc5_numpoly1, axiom,  (! [A] :  (v1_numpoly1(A) => v7_ordinal1(A)) ) ).
fof(rc3_numpoly1, axiom,  (? [A] :  ( ~ (v8_ordinal1(A))  & v1_numpoly1(A)) ) ).
fof(rc4_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] : v2_numpoly1(B, A)) ) ) ).
fof(rc5_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (? [B] :  ( ~ (v8_ordinal1(B))  & v2_numpoly1(B, A)) ) ) ) ).
fof(cc6_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v2_numpoly1(B, A) => v1_xreal_0(B)) ) ) ) ).
fof(cc7_numpoly1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  (! [B] :  (v2_numpoly1(B, A) => v7_ordinal1(B)) ) ) ) ).
fof(fc10_numpoly1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  (v7_ordinal1(k4_numpoly1(A, B)) & v1_int_1(k4_numpoly1(A, B))) ) ) ).
fof(fc11_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_ec_pf_2(A, 3))  =>  (v1_xreal_0(k1_numpoly1(A)) &  ~ (v1_int_2(k1_numpoly1(A))) ) ) ) ).
fof(cc8_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_ec_pf_2(A, 4) & v1_numpoly1(A)) )  =>  (v7_ordinal1(A) &  ( ~ (v1_int_2(A))  & v1_ec_pf_2(A, 4)) ) ) ) ).
fof(fc12_numpoly1, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  & v1_ec_pf_2(A, 4)) )  &  ( ~ (v8_ordinal1(B))  & v2_numpoly1(B, A)) )  =>  (v7_ordinal1(k3_numpoly1(A, B)) & v1_xreal_0(k3_numpoly1(A, B))) ) ) ).
fof(fc13_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(k2_numpoly1(3, A)) & v1_int_1(k2_numpoly1(3, A))) ) ) ).
fof(fc14_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_int_1(k2_numpoly1(3, A)) & v1_numpoly1(k2_numpoly1(3, A))) ) ) ).
fof(fc15_numpoly1, axiom,  (! [A, B] :  ( ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  & v7_ordinal1(B))  =>  (v7_ordinal1(k2_numpoly1(A, B)) & v1_int_1(k2_numpoly1(A, B))) ) ) ).
fof(fc16_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_int_1(k2_numpoly1(4, A)) & v1_pythtrip(k2_numpoly1(4, A))) ) ) ).
fof(cc9_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v2_numpoly1(A, 3))  =>  (v7_ordinal1(A) & v1_numpoly1(A)) ) ) ).
fof(cc10_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_numpoly1(A))  =>  (v7_ordinal1(A) & v2_numpoly1(A, 3)) ) ) ).
fof(cc11_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v2_numpoly1(A, 4))  =>  (v7_ordinal1(A) & v1_pythtrip(A)) ) ) ).
fof(cc12_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_pythtrip(A))  =>  (v7_ordinal1(A) & v2_numpoly1(A, 4)) ) ) ).
fof(fc17_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_pythtrip(k2_xcmplx_0(k1_numpoly1(A), k1_numpoly1(k2_xcmplx_0(A, 1))))) ) ).
fof(rd1_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) => k18_rvsum_1(k5_numpoly1(A, k5_numbers))=k5_numbers) ) ).
fof(fc18_numpoly1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  ~ (v1_xboole_0(k6_numpoly1(A))) ) ) ).
fof(fc19_numpoly1, axiom,  ~ (v1_xboole_0(k8_numpoly1)) ).
fof(fc20_numpoly1, axiom,  ~ (v1_xboole_0(k9_numpoly1)) ).
fof(cc13_numpoly1, axiom,  (! [A] :  (m1_subset_1(A, k8_numpoly1) => v1_numpoly1(A)) ) ).
fof(cc14_numpoly1, axiom,  (! [A] :  (m1_subset_1(A, k9_numpoly1) => v1_pythtrip(A)) ) ).
fof(fc21_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (v7_ordinal1(k1_gr_cy_3(A)) &  ~ (v8_ordinal1(k1_gr_cy_3(A))) ) ) ) ).
fof(rc6_numpoly1, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xreal_0(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_int_2(A) & v4_numpoly1(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc7_numpoly1, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xreal_0(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_int_1(A) &  (v2_int_1(A) &  ~ (v1_int_2(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc8_numpoly1, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xreal_0(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_int_1(A) &  (v2_int_1(A) &  ( ~ (v1_int_2(A))  & v4_numpoly1(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc15_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  & v1_int_2(A)) ) ) ) ).
fof(fc22_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_int_2(A) & v4_numpoly1(A)) )  =>  (v1_xreal_0(k1_numpoly1(A)) & v2_nat_5(k1_numpoly1(A))) ) ) ).
fof(cc16_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  &  (v2_nat_5(A) & v1_abian(A)) ) )  =>  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  & v1_numpoly1(A)) ) ) ) ).
fof(fc23_numpoly1, axiom,  ~ (v1_finset_1(k8_numpoly1)) ).
fof(fc24_numpoly1, axiom,  ~ (v1_finset_1(k9_numpoly1)) ).
fof(rc9_numpoly1, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  &  (v1_xreal_0(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_pythtrip(A) & v1_numpoly1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc17_numpoly1, axiom,  (! [A] :  (v8_ordinal1(A) =>  (v1_pythtrip(A) & v1_numpoly1(A)) ) ) ).
fof(fc25_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_numpoly1(A))  => v1_numpoly1(k2_xcmplx_0(k3_xcmplx_0(9, A), 1))) ) ).
fof(fc26_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_numpoly1(A))  => v1_pythtrip(k2_xcmplx_0(k3_xcmplx_0(8, A), 1))) ) ).
fof(rd2_numpoly1, axiom,  (! [A] :  (v1_xreal_0(A) => k1_seq_2(k1_seq_1(A))=A) ) ).
fof(rd3_numpoly1, axiom, k1_funct_1(k10_numpoly1, k5_numbers)=k5_numbers).
fof(t1_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  => r1_xxreal_0(1, k3_xcmplx_0(B, A))) ) ) ) ).
fof(t2_numpoly1, axiom,  (! [A] :  ( (v1_int_1(A) & v1_abian(A))  => v1_int_1(k7_xcmplx_0(A, 2))) ) ).
fof(t3_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(k5_numbers, B) &  (r1_xxreal_0(B, 4) & k4_nat_d(A, 5)=B) ) ) ) ) ) ) ) ).
fof(t4_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (B=k5_numbers)  => r2_int_1(A, k4_nat_d(A, B), B)) ) ) ) ) ).
fof(t5_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(k5_numbers, B) &  (r1_xxreal_0(B, 4) & r2_int_1(A, B, 5)) ) ) ) ) ) ) ) ).
fof(t6_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ (r2_int_1(k2_xcmplx_0(k3_xcmplx_0(A, A), A), 4, 5)) ) ) ).
fof(t7_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ (r2_int_1(k2_xcmplx_0(k3_xcmplx_0(A, A), A), 3, 5)) ) ) ).
fof(t8_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(k5_numbers, B) &  (r1_xxreal_0(B, 9) & k4_nat_d(A, 10)=B) ) ) ) ) ) ) ) ).
fof(t9_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(k5_numbers, B) &  (r1_xxreal_0(B, 9) & r2_int_1(A, B, 10)) ) ) ) ) ) ) ) ).
fof(d1_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) => k1_numpoly1(A)=k16_rvsum_1(k1_finseq_2(A))) ) ).
fof(d2_numpoly1, axiom,  (! [A] :  (v1_numpoly1(A) <=>  (? [B] :  (v7_ordinal1(B) & A=k1_numpoly1(B)) ) ) ) ).
fof(t10_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) => k1_numpoly1(k2_xcmplx_0(A, 1))=k2_xcmplx_0(k1_numpoly1(A), k2_xcmplx_0(A, 1))) ) ).
fof(t11_numpoly1, axiom, k1_numpoly1(1)=1).
fof(t12_numpoly1, axiom, k1_numpoly1(2)=3).
fof(t13_numpoly1, axiom, k1_numpoly1(3)=6).
fof(t14_numpoly1, axiom, k1_numpoly1(4)=10).
fof(t15_numpoly1, axiom, k1_numpoly1(5)=15).
fof(t16_numpoly1, axiom, k1_numpoly1(6)=21).
fof(t17_numpoly1, axiom, k1_numpoly1(7)=28).
fof(t18_numpoly1, axiom, k1_numpoly1(8)=36).
fof(t19_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) => k1_numpoly1(A)=k7_xcmplx_0(k3_xcmplx_0(A, k2_xcmplx_0(A, 1)), 2)) ) ).
fof(t20_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) => r1_xxreal_0(k5_numbers, k1_numpoly1(A))) ) ).
fof(t21_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) => k1_numpoly1(k7_nat_d(A, 1))=k7_xcmplx_0(k3_xcmplx_0(A, k6_xcmplx_0(A, 1)), 2)) ) ).
fof(t22_numpoly1, axiom,  (! [A] :  (v1_numpoly1(A) =>  ~ (r2_int_1(A, 7, 10)) ) ) ).
fof(t23_numpoly1, axiom,  (! [A] :  (v1_numpoly1(A) =>  ~ (r2_int_1(A, 9, 10)) ) ) ).
fof(t24_numpoly1, axiom,  (! [A] :  (v1_numpoly1(A) =>  ~ (r2_int_1(A, 2, 10)) ) ) ).
fof(t25_numpoly1, axiom,  (! [A] :  (v1_numpoly1(A) =>  ~ (r2_int_1(A, 4, 10)) ) ) ).
fof(t26_numpoly1, axiom,  (! [A] :  (v1_numpoly1(A) =>  ~ ( ( ~ (r2_int_1(A, k5_numbers, 10))  &  ( ~ (r2_int_1(A, 1, 10))  &  ( ~ (r2_int_1(A, 3, 10))  &  ( ~ (r2_int_1(A, 5, 10))  &  ( ~ (r2_int_1(A, 6, 10))  &  ~ (r2_int_1(A, 8, 10)) ) ) ) ) ) ) ) ) ).
fof(d3_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k2_numpoly1(A, B)=k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_pepin(B), k6_xcmplx_0(A, 2)), k3_xcmplx_0(B, k6_xcmplx_0(A, 4))), 2)) ) ) ) ).
fof(t27_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(2, B) => v7_ordinal1(k2_numpoly1(B, A))) ) ) ) ) ).
fof(t28_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k2_numpoly1(B, A)=k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(A, k6_xcmplx_0(B, 2)), k6_xcmplx_0(A, 1)), 2), A)) ) ) ) ).
fof(d4_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v2_numpoly1(B, A) <=>  (? [C] :  (v7_ordinal1(C) & B=k2_numpoly1(A, C)) ) ) ) ) ) ).
fof(d5_numpoly1, axiom,  (! [A] :  (v3_numpoly1(A) <=>  (? [B] :  (v7_ordinal1(B) & v2_numpoly1(A, B)) ) ) ) ).
fof(t29_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) => k2_numpoly1(A, 1)=1) ) ).
fof(t30_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) => k2_numpoly1(A, 2)=A) ) ).
fof(t31_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k6_xcmplx_0(k2_numpoly1(B, k2_xcmplx_0(A, 1)), k2_numpoly1(B, A))=k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(B, 2), A), 1)) ) ) ) ).
fof(d6_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v2_numpoly1(B, A) => k3_numpoly1(A, B)=k7_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k3_square_1(k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8, A), 16), B), k1_pepin(k6_xcmplx_0(A, 4)))), A), 4), k6_xcmplx_0(k3_xcmplx_0(2, A), 4))) ) ) ) ).
fof(t32_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & v2_numpoly1(C, B))  =>  (C=k2_numpoly1(B, A) => k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8, B), 16), C), k1_pepin(k6_xcmplx_0(B, 4)))=k1_pepin(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, A), k6_xcmplx_0(B, 2)), k6_xcmplx_0(B, 4)))) ) ) ) ) ) ) ).
fof(t33_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & v2_numpoly1(B, A))  =>  (r1_xxreal_0(4, A) => v1_pythtrip(k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8, A), 16), B), k1_pepin(k6_xcmplx_0(A, 4))))) ) ) ) ) ).
fof(t34_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & v2_numpoly1(B, A))  =>  (r1_xxreal_0(4, A) => r2_hidden(k3_numpoly1(A, B), k4_ordinal1)) ) ) ) ) ).
fof(t35_numpoly1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  (! [B] :  (v2_numpoly1(B, A) => r1_xxreal_0(k5_numbers, k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8, A), 16), B), k1_pepin(k6_xcmplx_0(A, 4))))) ) ) ) ).
fof(t36_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v1_abian(B)) )  =>  (r1_xxreal_0(2, A) => r1_int_1(B, k2_numpoly1(A, B))) ) ) ) ) ).
fof(d7_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k4_numpoly1(A, B)=k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(A, B), 2), k6_xcmplx_0(B, 1)), 1)) ) ) ) ).
fof(t37_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) => k4_numpoly1(k5_numbers, A)=1) ) ).
fof(t38_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) => k4_numpoly1(A, k5_numbers)=1) ) ).
fof(t39_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k4_numpoly1(B, A)=k2_xcmplx_0(k3_xcmplx_0(B, k1_numpoly1(k7_nat_d(A, 1))), 1)) ) ) ) ).
fof(t40_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) => k1_numpoly1(A)=k2_numpoly1(3, A)) ) ).
fof(t41_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_abian(A)) )  => r1_nat_d(A, k1_numpoly1(A))) ) ).
fof(t42_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) => r1_xxreal_0(k1_numpoly1(A), k1_numpoly1(k2_xcmplx_0(A, 1)))) ) ).
fof(t43_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(B, A) => r1_xxreal_0(k1_numpoly1(B), k1_numpoly1(A))) ) ) ) ) ).
fof(t44_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) => r1_xxreal_0(A, k1_numpoly1(A))) ) ).
fof(t45_numpoly1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  ~ (r1_xxreal_0(k1_numpoly1(A), A)) ) ) ).
fof(t46_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (A=2)  & v1_int_2(k1_numpoly1(A))) ) ) ) ).
fof(t47_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_ec_pf_2(A, 4))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & v2_numpoly1(B, A))  =>  ( ~ (A=2)  => k2_numpoly1(A, k3_numpoly1(A, B))=B) ) ) ) ) ).
fof(t48_numpoly1, axiom,  (v1_pythtrip(36) & v1_numpoly1(36)) ).
fof(t49_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k2_numpoly1(B, A)=k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(B, 2), k1_numpoly1(k7_nat_d(A, 1))), A)) ) ) ) ).
fof(t50_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k2_numpoly1(B, A)=k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(B, 3), k1_numpoly1(k7_nat_d(A, 1))), k1_numpoly1(A))) ) ) ) ).
fof(t51_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) => k2_numpoly1(k5_numbers, A)=k3_xcmplx_0(A, k6_xcmplx_0(2, A))) ) ).
fof(t52_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) => k2_numpoly1(1, A)=k7_xcmplx_0(k3_xcmplx_0(A, k6_xcmplx_0(3, A)), 2)) ) ).
fof(t53_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) => k2_numpoly1(2, A)=A) ) ).
fof(t54_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) => k2_xcmplx_0(k1_numpoly1(k7_nat_d(A, 1)), k1_numpoly1(A))=k1_pepin(A)) ) ).
fof(t55_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) => k2_xcmplx_0(k1_numpoly1(A), k1_numpoly1(k2_xcmplx_0(A, 1)))=k1_pepin(k2_xcmplx_0(A, 1))) ) ).
fof(t56_numpoly1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  => k3_xcmplx_0(k7_xcmplx_0(1, 3), k1_numpoly1(k7_nat_d(k3_xcmplx_0(3, A), 1)))=k7_xcmplx_0(k3_xcmplx_0(A, k6_xcmplx_0(k3_xcmplx_0(3, A), 1)), 2)) ) ).
fof(t57_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => k1_numpoly1(k7_nat_d(k3_xcmplx_0(2, A), 1))=k7_xcmplx_0(k3_xcmplx_0(A, k6_xcmplx_0(k3_xcmplx_0(4, A), 2)), 2)) ) ).
fof(d8_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  (C=k5_numpoly1(A, B) <=>  (k4_finseq_1(C)=k2_finseq_1(B) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(C)) => k1_funct_1(C, D)=k1_newton(D, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k5_numpoly1(A, k2_xcmplx_0(B, 1))=k7_finseq_1(k5_numpoly1(A, B), k9_finseq_1(k1_newton(k2_xcmplx_0(B, 1), A)))) ) ) ) ).
fof(t59_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) => k1_newton(k1_numpoly1(A), 2)=k18_rvsum_1(k5_numpoly1(3, A))) ) ).
fof(t60_numpoly1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  => k2_xcmplx_0(k1_numpoly1(A), k3_xcmplx_0(k1_numpoly1(k7_nat_d(A, 1)), k1_numpoly1(k2_xcmplx_0(A, 1))))=k1_newton(k1_numpoly1(A), 2)) ) ).
fof(t61_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) => k2_xcmplx_0(k1_newton(k1_numpoly1(A), 2), k1_newton(k1_numpoly1(k2_xcmplx_0(A, 1)), 2))=k1_numpoly1(k1_newton(k2_xcmplx_0(A, 1), 2))) ) ).
fof(t62_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) => k6_xcmplx_0(k1_newton(k1_numpoly1(k2_xcmplx_0(A, 1)), 2), k1_newton(k1_numpoly1(A), 2))=k1_newton(k2_xcmplx_0(A, 1), 3)) ) ).
fof(t63_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => k2_xcmplx_0(k3_xcmplx_0(3, k1_numpoly1(A)), k1_numpoly1(k7_nat_d(A, 1)))=k1_numpoly1(k3_xcmplx_0(2, A))) ) ).
fof(t64_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) => k2_xcmplx_0(k3_xcmplx_0(3, k1_numpoly1(A)), k1_numpoly1(k2_xcmplx_0(A, 1)))=k1_numpoly1(k2_xcmplx_0(k3_xcmplx_0(2, A), 1))) ) ).
fof(t65_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => k2_xcmplx_0(k2_xcmplx_0(k1_numpoly1(k7_nat_d(A, 1)), k3_xcmplx_0(6, k1_numpoly1(A))), k1_numpoly1(k2_xcmplx_0(A, 1)))=k2_xcmplx_0(k3_xcmplx_0(8, k1_numpoly1(A)), 1)) ) ).
fof(t66_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => k2_xcmplx_0(k1_numpoly1(A), k1_numpoly1(k7_nat_d(A, 1)))=k7_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(1, k3_xcmplx_0(2, A)), 1), A), 2)) ) ).
fof(t67_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) => k2_xcmplx_0(1, k3_xcmplx_0(9, k1_numpoly1(A)))=k1_numpoly1(k2_xcmplx_0(k3_xcmplx_0(3, A), 1))) ) ).
fof(t68_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k1_numpoly1(k2_xcmplx_0(A, B))=k2_xcmplx_0(k2_xcmplx_0(k1_numpoly1(A), k1_numpoly1(B)), k3_xcmplx_0(A, B))) ) ) ) ).
fof(t69_numpoly1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  & v7_ordinal1(B))  => k2_xcmplx_0(k3_xcmplx_0(k1_numpoly1(A), k1_numpoly1(B)), k3_xcmplx_0(k1_numpoly1(k7_nat_d(A, 1)), k1_numpoly1(k7_nat_d(B, 1))))=k1_numpoly1(k3_xcmplx_0(A, B))) ) ) ) ).
fof(d10_numpoly1, axiom, k8_numpoly1=k6_numpoly1(3)).
fof(d11_numpoly1, axiom, k9_numpoly1=k6_numpoly1(4)).
fof(t70_numpoly1, axiom,  (! [A] :  (r2_tarski(A, k8_numpoly1) <=> v1_numpoly1(A)) ) ).
fof(t71_numpoly1, axiom,  (! [A] :  (r2_tarski(A, k9_numpoly1) <=> v1_pythtrip(A)) ) ).
fof(t72_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) => k4_newton(2, k2_xcmplx_0(A, 1))=k7_xcmplx_0(k3_xcmplx_0(A, k2_xcmplx_0(A, 1)), 2)) ) ).
fof(t73_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) => k1_numpoly1(A)=k4_newton(2, k2_xcmplx_0(A, 1))) ) ).
fof(t74_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ( (v1_abian(A) & v2_nat_5(A))  => v1_numpoly1(A)) ) ) ).
fof(d12_numpoly1, axiom,  (! [A] :  (v4_numpoly1(A) <=>  (? [B] :  (v7_ordinal1(B) & A=k1_gr_cy_3(B)) ) ) ) ).
fof(t75_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) => k2_xcmplx_0(k3_xcmplx_0(8, k1_numpoly1(A)), 1)=k1_pepin(k2_xcmplx_0(k3_xcmplx_0(2, A), 1))) ) ).
fof(t76_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_numpoly1(A) => v1_pythtrip(k2_xcmplx_0(k3_xcmplx_0(8, A), 1))) ) ) ).
fof(t77_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_numpoly1(A) => v1_numpoly1(k2_xcmplx_0(k3_xcmplx_0(9, A), 1))) ) ) ).
fof(t78_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( (v1_numpoly1(k1_numpoly1(A)) & v1_pythtrip(k1_numpoly1(A)))  =>  (v1_numpoly1(k1_numpoly1(k3_xcmplx_0(k3_xcmplx_0(4, A), k2_xcmplx_0(A, 1)))) & v1_pythtrip(k1_numpoly1(k3_xcmplx_0(k3_xcmplx_0(4, A), k2_xcmplx_0(A, 1))))) ) ) ) ).
fof(t79_numpoly1, axiom,  (v1_numpoly1(k5_numbers) & v1_pythtrip(k5_numbers)) ).
fof(t80_numpoly1, axiom,  (v1_numpoly1(1) & v1_pythtrip(1)) ).
fof(t81_numpoly1, axiom,  (v1_numpoly1(36) & v1_pythtrip(36)) ).
fof(t82_numpoly1, axiom,  (v1_numpoly1(1225) & v1_pythtrip(1225)) ).
fof(d13_numpoly1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (A=k10_numpoly1 <=>  (! [B] :  (v7_ordinal1(B) => k1_funct_1(A, B)=k7_xcmplx_0(1, k1_numpoly1(B))) ) ) ) ) ).
fof(t83_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) => k7_xcmplx_0(1, k1_numpoly1(A))=k7_xcmplx_0(2, k3_xcmplx_0(A, k2_xcmplx_0(A, 1)))) ) ).
fof(t84_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) => k1_funct_1(k3_series_1(k10_numpoly1), A)=k6_xcmplx_0(2, k7_xcmplx_0(2, k2_xcmplx_0(A, 1)))) ) ).
fof(d14_numpoly1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (A=k11_numpoly1 <=>  (! [B] :  (v7_ordinal1(B) => k1_funct_1(A, B)=k6_xcmplx_0(2, k7_xcmplx_0(2, k2_xcmplx_0(B, 1)))) ) ) ) ) ).
fof(d15_numpoly1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (C=k12_numpoly1(A, B) <=>  (! [D] :  (v7_ordinal1(D) => k1_funct_1(C, D)=k7_xcmplx_0(A, k2_xcmplx_0(D, B))) ) ) ) ) ) ) ) ) ).
fof(t85_numpoly1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (v2_comseq_2(k12_numpoly1(A, B)) & k1_seq_2(k12_numpoly1(A, B))=k5_numbers) ) ) ) ) ).
fof(t86_numpoly1, axiom, k11_numpoly1=k1_series_1(k1_numbers, k1_seq_1(2), k32_valued_1(k4_ordinal1, k1_numbers, k12_numpoly1(2, 1)))).
fof(t87_numpoly1, axiom,  (v2_comseq_2(k11_numpoly1) & k1_seq_2(k11_numpoly1)=2) ).
fof(t88_numpoly1, axiom, k3_series_1(k10_numpoly1)=k11_numpoly1).
fof(t89_numpoly1, axiom, k4_series_1(k10_numpoly1)=2).
fof(s1_numpoly1, axiom,  ( (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  &  (! [B] :  (v7_ordinal1(B) => k1_funct_1(A, B)=f1_s1_numpoly1(B)) ) ) )  &  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( ( (! [C] :  (v7_ordinal1(C) => k1_funct_1(A, C)=f1_s1_numpoly1(C)) )  &  (! [C] :  (v7_ordinal1(C) => k1_funct_1(B, C)=f1_s1_numpoly1(C)) ) )  => A=B) ) ) ) ) ) ).
fof(dt_f1_s1_numpoly1, axiom,  (! [A] : v1_xreal_0(f1_s1_numpoly1(A))) ).
fof(dt_k1_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xreal_0(k1_numpoly1(A))) ) ).
fof(dt_k2_numpoly1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v1_int_1(k2_numpoly1(A, B))) ) ).
fof(dt_k3_numpoly1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v2_numpoly1(B, A))  => v1_xreal_0(k3_numpoly1(A, B))) ) ).
fof(dt_k4_numpoly1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v1_int_1(k4_numpoly1(A, B))) ) ).
fof(dt_k5_numpoly1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => m2_finseq_1(k5_numpoly1(A, B), k1_numbers)) ) ).
fof(dt_k7_numpoly1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  => m1_subset_1(k7_numpoly1(A), k1_zfmisc_1(k4_ordinal1))) ) ).
fof(redefinition_k7_numpoly1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  => k7_numpoly1(A)=k6_numpoly1(A)) ) ).
fof(dt_k8_numpoly1, axiom, m1_subset_1(k8_numpoly1, k1_zfmisc_1(k4_ordinal1))).
fof(dt_k9_numpoly1, axiom, m1_subset_1(k9_numpoly1, k1_zfmisc_1(k4_ordinal1))).
fof(dt_k10_numpoly1, axiom,  (v1_funct_1(k10_numpoly1) &  (v1_funct_2(k10_numpoly1, k4_ordinal1, k1_numbers) & m1_subset_1(k10_numpoly1, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ).
fof(dt_k11_numpoly1, axiom,  (v1_funct_1(k11_numpoly1) &  (v1_funct_2(k11_numpoly1, k4_ordinal1, k1_numbers) & m1_subset_1(k11_numpoly1, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ).
fof(dt_k12_numpoly1, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  =>  (v1_funct_1(k12_numpoly1(A, B)) &  (v1_funct_2(k12_numpoly1(A, B), k4_ordinal1, k1_numbers) & m1_subset_1(k12_numpoly1(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(d9_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) => k6_numpoly1(A)=a_1_0_numpoly1(A)) ) ).
fof(fraenkel_a_1_0_numpoly1, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_0_numpoly1(B)) <=>  (? [C] :  (v7_ordinal1(C) & A=k2_numpoly1(B, C)) ) ) ) ) ).
fof(d1_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_o_ring_1(A, B)=k6_algstr_0(A, B, B)) ) ) ) ).
fof(d2_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v1_o_ring_1(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & B=k1_o_ring_1(A, C)) ) ) ) ) ) ) ).
fof(d3_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (v2_o_ring_1(B, A) <=>  ( ~ (k3_finseq_1(B)=k5_numbers)  &  (v1_o_ring_1(k7_partfun1(u1_struct_0(A), B, 1), A) &  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (C=k5_numbers)  &  ( ~ (r1_xxreal_0(k3_finseq_1(B), C))  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (v1_o_ring_1(D, A) & k7_partfun1(u1_struct_0(A), B, k1_nat_1(C, 1))=k1_algstr_0(A, k7_partfun1(u1_struct_0(A), B, C), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v3_o_ring_1(B, A) <=>  (? [C] :  (m2_finseq_1(C, u1_struct_0(A)) &  (v2_o_ring_1(C, A) & B=k7_partfun1(u1_struct_0(A), C, k3_finseq_1(C))) ) ) ) ) ) ) ) ).
fof(d5_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (v4_o_ring_1(B, A) <=>  ( ~ (k3_finseq_1(B)=k5_numbers)  &  (v1_o_ring_1(k7_partfun1(u1_struct_0(A), B, 1), A) &  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (C=k5_numbers)  &  ( ~ (r1_xxreal_0(k3_finseq_1(B), C))  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (v1_o_ring_1(D, A) & k7_partfun1(u1_struct_0(A), B, k1_nat_1(C, 1))=k6_algstr_0(A, k7_partfun1(u1_struct_0(A), B, C), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v5_o_ring_1(B, A) <=>  (? [C] :  (m2_finseq_1(C, u1_struct_0(A)) &  (v4_o_ring_1(C, A) & B=k7_partfun1(u1_struct_0(A), C, k3_finseq_1(C))) ) ) ) ) ) ) ) ).
fof(d7_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (v6_o_ring_1(B, A) <=>  ( ~ (k3_finseq_1(B)=k5_numbers)  &  (v5_o_ring_1(k7_partfun1(u1_struct_0(A), B, 1), A) &  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (C=k5_numbers)  &  ( ~ (r1_xxreal_0(k3_finseq_1(B), C))  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (v5_o_ring_1(D, A) & k7_partfun1(u1_struct_0(A), B, k1_nat_1(C, 1))=k1_algstr_0(A, k7_partfun1(u1_struct_0(A), B, C), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v7_o_ring_1(B, A) <=>  (? [C] :  (m2_finseq_1(C, u1_struct_0(A)) &  (v6_o_ring_1(C, A) & B=k7_partfun1(u1_struct_0(A), C, k3_finseq_1(C))) ) ) ) ) ) ) ) ).
fof(d9_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (v8_o_ring_1(B, A) <=>  ( ~ (k3_finseq_1(B)=k5_numbers)  &  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (C=k5_numbers)  &  (r1_xxreal_0(C, k3_finseq_1(B)) &  ( ~ (v5_o_ring_1(k7_partfun1(u1_struct_0(A), B, C), A))  &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (k7_partfun1(u1_struct_0(A), B, C)=k6_algstr_0(A, k7_partfun1(u1_struct_0(A), B, D), k7_partfun1(u1_struct_0(A), B, E)) &  ( ~ (D=k5_numbers)  &  ( ~ (r1_xxreal_0(C, D))  &  ( ~ (E=k5_numbers)  &  ~ (r1_xxreal_0(C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v9_o_ring_1(B, A) <=>  (? [C] :  (m2_finseq_1(C, u1_struct_0(A)) &  (v8_o_ring_1(C, A) & B=k7_partfun1(u1_struct_0(A), C, k3_finseq_1(C))) ) ) ) ) ) ) ) ).
fof(d11_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (v10_o_ring_1(B, A) <=>  ( ~ (k3_finseq_1(B)=k5_numbers)  &  (v9_o_ring_1(k7_partfun1(u1_struct_0(A), B, 1), A) &  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (C=k5_numbers)  &  ( ~ (r1_xxreal_0(k3_finseq_1(B), C))  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (v9_o_ring_1(D, A) & k7_partfun1(u1_struct_0(A), B, k1_nat_1(C, 1))=k1_algstr_0(A, k7_partfun1(u1_struct_0(A), B, C), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v11_o_ring_1(B, A) <=>  (? [C] :  (m2_finseq_1(C, u1_struct_0(A)) &  (v10_o_ring_1(C, A) & B=k7_partfun1(u1_struct_0(A), C, k3_finseq_1(C))) ) ) ) ) ) ) ) ).
fof(d13_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (v12_o_ring_1(B, A) <=>  ( ~ (k3_finseq_1(B)=k5_numbers)  &  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (C=k5_numbers)  &  (r1_xxreal_0(C, k3_finseq_1(B)) &  ( ~ (v9_o_ring_1(k7_partfun1(u1_struct_0(A), B, C), A))  &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( (k7_partfun1(u1_struct_0(A), B, C)=k6_algstr_0(A, k7_partfun1(u1_struct_0(A), B, D), k7_partfun1(u1_struct_0(A), B, E)) | k7_partfun1(u1_struct_0(A), B, C)=k1_algstr_0(A, k7_partfun1(u1_struct_0(A), B, D), k7_partfun1(u1_struct_0(A), B, E)))  &  ( ~ (D=k5_numbers)  &  ( ~ (r1_xxreal_0(C, D))  &  ( ~ (E=k5_numbers)  &  ~ (r1_xxreal_0(C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v13_o_ring_1(B, A) <=>  (? [C] :  (m2_finseq_1(C, u1_struct_0(A)) &  (v12_o_ring_1(C, A) & B=k7_partfun1(u1_struct_0(A), C, k3_finseq_1(C))) ) ) ) ) ) ) ) ).
fof(t1_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v11_o_ring_1(B, A) => v13_o_ring_1(B, A)) ) ) ) ) ).
fof(t2_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v1_o_ring_1(B, A) =>  (v3_o_ring_1(B, A) &  (v5_o_ring_1(B, A) &  (v7_o_ring_1(B, A) &  (v9_o_ring_1(B, A) &  (v11_o_ring_1(B, A) & v13_o_ring_1(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(t3_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v3_o_ring_1(B, A) =>  (v7_o_ring_1(B, A) &  (v11_o_ring_1(B, A) & v13_o_ring_1(B, A)) ) ) ) ) ) ) ).
fof(t4_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v5_o_ring_1(B, A) =>  (v7_o_ring_1(B, A) &  (v9_o_ring_1(B, A) &  (v11_o_ring_1(B, A) & v13_o_ring_1(B, A)) ) ) ) ) ) ) ) ).
fof(t5_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v7_o_ring_1(B, A) =>  (v11_o_ring_1(B, A) & v13_o_ring_1(B, A)) ) ) ) ) ) ).
fof(t6_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v9_o_ring_1(B, A) =>  (v11_o_ring_1(B, A) & v13_o_ring_1(B, A)) ) ) ) ) ) ).
fof(t7_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ( (v1_o_ring_1(B, A) & v1_o_ring_1(C, A))  |  (v3_o_ring_1(B, A) & v1_o_ring_1(C, A)) )  => v3_o_ring_1(k1_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t8_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ( (v7_o_ring_1(B, A) & v1_o_ring_1(C, A))  |  (v7_o_ring_1(B, A) & v5_o_ring_1(C, A)) )  => v7_o_ring_1(k1_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t9_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ( (v9_o_ring_1(B, A) &  (v5_o_ring_1(C, A) | v9_o_ring_1(C, A)) )  |  (v11_o_ring_1(B, A) &  ~ ( ( ~ (v1_o_ring_1(C, A))  &  ( ~ (v5_o_ring_1(C, A))  &  ~ (v9_o_ring_1(C, A)) ) ) ) ) )  => v11_o_ring_1(k1_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t10_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v1_o_ring_1(B, A) =>  ( ( ~ (v3_o_ring_1(C, A))  &  ( ~ (v5_o_ring_1(C, A))  &  ( ~ (v7_o_ring_1(C, A))  &  ( ~ (v9_o_ring_1(C, A))  &  ( ~ (v11_o_ring_1(C, A))  &  ~ (v13_o_ring_1(C, A)) ) ) ) ) )  | v13_o_ring_1(k1_algstr_0(A, B, C), A)) ) ) ) ) ) ) ) ).
fof(t11_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v3_o_ring_1(B, A) & v3_o_ring_1(C, A))  => v13_o_ring_1(k1_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t12_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v3_o_ring_1(B, A) & v5_o_ring_1(C, A))  => v13_o_ring_1(k1_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t13_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v3_o_ring_1(B, A) & v7_o_ring_1(C, A))  => v13_o_ring_1(k1_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t14_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v3_o_ring_1(B, A) & v9_o_ring_1(C, A))  => v13_o_ring_1(k1_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t15_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v3_o_ring_1(B, A) & v11_o_ring_1(C, A))  => v13_o_ring_1(k1_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t16_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v3_o_ring_1(B, A) & v13_o_ring_1(C, A))  => v13_o_ring_1(k1_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t17_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v5_o_ring_1(B, A) & v13_o_ring_1(C, A))  => v13_o_ring_1(k1_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t18_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v5_o_ring_1(B, A) & v11_o_ring_1(C, A))  => v13_o_ring_1(k1_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t19_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v5_o_ring_1(B, A) & v9_o_ring_1(C, A))  => v13_o_ring_1(k1_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t20_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v5_o_ring_1(B, A) & v7_o_ring_1(C, A))  => v13_o_ring_1(k1_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t21_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v5_o_ring_1(B, A) & v5_o_ring_1(C, A))  => v13_o_ring_1(k1_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t22_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v5_o_ring_1(B, A) & v3_o_ring_1(C, A))  => v13_o_ring_1(k1_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t23_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v5_o_ring_1(B, A) & v1_o_ring_1(C, A))  => v13_o_ring_1(k1_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t24_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v7_o_ring_1(B, A) & v13_o_ring_1(C, A))  => v13_o_ring_1(k1_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t25_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v7_o_ring_1(B, A) & v3_o_ring_1(C, A))  => v13_o_ring_1(k1_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t26_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v7_o_ring_1(B, A) & v7_o_ring_1(C, A))  => v13_o_ring_1(k1_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t27_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v7_o_ring_1(B, A) & v9_o_ring_1(C, A))  => v13_o_ring_1(k1_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t28_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v7_o_ring_1(B, A) & v11_o_ring_1(C, A))  => v13_o_ring_1(k1_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t29_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v9_o_ring_1(B, A) & v13_o_ring_1(C, A))  => v13_o_ring_1(k1_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t30_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v9_o_ring_1(B, A) & v1_o_ring_1(C, A))  => v13_o_ring_1(k1_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t31_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v9_o_ring_1(B, A) & v3_o_ring_1(C, A))  => v13_o_ring_1(k1_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t32_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v9_o_ring_1(B, A) & v7_o_ring_1(C, A))  => v13_o_ring_1(k1_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t33_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v9_o_ring_1(B, A) & v11_o_ring_1(C, A))  => v13_o_ring_1(k1_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t34_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v11_o_ring_1(B, A) & v3_o_ring_1(C, A))  => v13_o_ring_1(k1_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t35_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v11_o_ring_1(B, A) & v7_o_ring_1(C, A))  => v13_o_ring_1(k1_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t36_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v11_o_ring_1(B, A) & v11_o_ring_1(C, A))  => v13_o_ring_1(k1_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t37_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v11_o_ring_1(B, A) & v13_o_ring_1(C, A))  => v13_o_ring_1(k1_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t38_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ ( ( ~ ( (v13_o_ring_1(B, A) & v1_o_ring_1(C, A)) )  &  ( ~ ( (v13_o_ring_1(B, A) & v3_o_ring_1(C, A)) )  &  ( ~ ( (v13_o_ring_1(B, A) & v5_o_ring_1(C, A)) )  &  ( ~ ( (v13_o_ring_1(B, A) & v7_o_ring_1(C, A)) )  &  ( ~ ( (v13_o_ring_1(B, A) & v9_o_ring_1(C, A)) )  &  ( ~ ( (v13_o_ring_1(B, A) & v11_o_ring_1(C, A)) )  &  ~ ( (v13_o_ring_1(B, A) & v13_o_ring_1(C, A)) ) ) ) ) ) ) ) )  => v13_o_ring_1(k1_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t39_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v5_o_ring_1(B, A) & v1_o_ring_1(C, A))  => v5_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t40_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v1_o_ring_1(B, A) & v1_o_ring_1(C, A))  => v5_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t41_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v1_o_ring_1(B, A) & v5_o_ring_1(C, A))  => v9_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t42_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v1_o_ring_1(B, A) & v9_o_ring_1(C, A))  => v9_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t43_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v5_o_ring_1(B, A) & v5_o_ring_1(C, A))  => v9_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t44_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v5_o_ring_1(B, A) & v9_o_ring_1(C, A))  => v9_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t45_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v9_o_ring_1(B, A) & v1_o_ring_1(C, A))  => v9_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t46_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v9_o_ring_1(B, A) & v5_o_ring_1(C, A))  => v9_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t47_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v9_o_ring_1(B, A) & v9_o_ring_1(C, A))  => v9_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t48_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v1_o_ring_1(B, A) & v3_o_ring_1(C, A))  => v13_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t49_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v1_o_ring_1(B, A) & v7_o_ring_1(C, A))  => v13_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t50_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v1_o_ring_1(B, A) & v11_o_ring_1(C, A))  => v13_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t51_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v1_o_ring_1(B, A) & v13_o_ring_1(C, A))  => v13_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t52_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v3_o_ring_1(B, A) & v1_o_ring_1(C, A))  => v13_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t53_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v3_o_ring_1(B, A) & v3_o_ring_1(C, A))  => v13_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t54_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v3_o_ring_1(B, A) & v5_o_ring_1(C, A))  => v13_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t55_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v3_o_ring_1(B, A) & v7_o_ring_1(C, A))  => v13_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t56_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v3_o_ring_1(B, A) & v9_o_ring_1(C, A))  => v13_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t57_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v3_o_ring_1(B, A) & v11_o_ring_1(C, A))  => v13_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t58_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v3_o_ring_1(B, A) & v13_o_ring_1(C, A))  => v13_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t59_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v5_o_ring_1(B, A) & v3_o_ring_1(C, A))  => v13_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t60_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v5_o_ring_1(B, A) & v7_o_ring_1(C, A))  => v13_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t61_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v5_o_ring_1(B, A) & v11_o_ring_1(C, A))  => v13_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t62_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v5_o_ring_1(B, A) & v13_o_ring_1(C, A))  => v13_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t63_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v7_o_ring_1(B, A) & v1_o_ring_1(C, A))  => v13_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t64_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v7_o_ring_1(B, A) & v3_o_ring_1(C, A))  => v13_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t65_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v7_o_ring_1(B, A) & v5_o_ring_1(C, A))  => v13_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t66_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v7_o_ring_1(B, A) & v7_o_ring_1(C, A))  => v13_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t67_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v7_o_ring_1(B, A) & v9_o_ring_1(C, A))  => v13_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t68_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v7_o_ring_1(B, A) & v11_o_ring_1(C, A))  => v13_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t69_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v7_o_ring_1(B, A) & v13_o_ring_1(C, A))  => v13_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t70_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v9_o_ring_1(B, A) & v3_o_ring_1(C, A))  => v13_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t71_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v9_o_ring_1(B, A) & v7_o_ring_1(C, A))  => v13_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t72_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v9_o_ring_1(B, A) & v11_o_ring_1(C, A))  => v13_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t73_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v9_o_ring_1(B, A) & v13_o_ring_1(C, A))  => v13_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t74_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v11_o_ring_1(B, A) & v1_o_ring_1(C, A))  => v13_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t75_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v11_o_ring_1(B, A) & v3_o_ring_1(C, A))  => v13_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t76_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v11_o_ring_1(B, A) & v5_o_ring_1(C, A))  => v13_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t77_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v11_o_ring_1(B, A) & v7_o_ring_1(C, A))  => v13_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t78_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v11_o_ring_1(B, A) & v9_o_ring_1(C, A))  => v13_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t79_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v11_o_ring_1(B, A) & v11_o_ring_1(C, A))  => v13_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t80_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v11_o_ring_1(B, A) & v13_o_ring_1(C, A))  => v13_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t81_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v13_o_ring_1(B, A) & v1_o_ring_1(C, A))  => v13_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t82_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v13_o_ring_1(B, A) & v9_o_ring_1(C, A))  => v13_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t83_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v13_o_ring_1(B, A) & v3_o_ring_1(C, A))  => v13_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t84_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v13_o_ring_1(B, A) & v5_o_ring_1(C, A))  => v13_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t85_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v13_o_ring_1(B, A) & v7_o_ring_1(C, A))  => v13_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(t86_o_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v13_o_ring_1(B, A) & v11_o_ring_1(C, A))  => v13_o_ring_1(k6_algstr_0(A, B, C), A)) ) ) ) ) ) ) ).
fof(dt_k1_o_ring_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k1_o_ring_1(A, B), u1_struct_0(A))) ) ).
fof(cc1_openlatt, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & v1_lattice2(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) & v3_filter_0(A)) ) ) ) ) ) ).
fof(cc2_openlatt, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & v3_filter_0(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & v14_lattices(A)) ) ) ) ) ).
fof(fc1_openlatt, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  ~ (v1_xboole_0(k1_openlatt(A))) ) ) ).
fof(fc2_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( ~ (v2_struct_0(k6_openlatt(A)))  &  (v10_lattices(k6_openlatt(A)) & v3_filter_0(k6_openlatt(A))) ) ) ) ).
fof(fc3_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( ~ (v2_struct_0(k6_openlatt(A)))  &  (v10_lattices(k6_openlatt(A)) & v1_lattice2(k6_openlatt(A))) ) ) ) ).
fof(fc4_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  ~ (v1_xboole_0(k9_openlatt(A))) ) ) ).
fof(fc5_openlatt, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  ~ (v1_xboole_0(k10_openlatt(A, B))) ) ) ).
fof(fc6_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (v1_relat_1(k8_openlatt(A)) &  (v1_funct_1(k8_openlatt(A)) & v2_funct_1(k8_openlatt(A))) ) ) ) ).
fof(fc7_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (v1_funct_1(k8_openlatt(A)) &  (v1_funct_2(k8_openlatt(A), u1_struct_0(A), u1_struct_0(k15_openlatt(A))) & v3_funct_2(k8_openlatt(A), u1_struct_0(A), u1_struct_0(k15_openlatt(A)))) ) ) ) ).
fof(fc8_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  ( ~ (v2_struct_0(k15_openlatt(A)))  &  (v10_lattices(k15_openlatt(A)) & v11_lattices(k15_openlatt(A))) ) ) ) ).
fof(rc1_openlatt, axiom,  (? [A] :  (l3_lattices(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v10_lattices(A) &  (v11_lattices(A) &  (v12_lattices(A) &  (v13_lattices(A) &  (v14_lattices(A) &  (v15_lattices(A) &  (v1_lattice2(A) & v3_filter_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc9_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v1_lattice2(A) & l3_lattices(A)) ) ) )  =>  ~ (v1_xboole_0(k7_openlatt(A))) ) ) ).
fof(fc10_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v1_lattice2(A) & l3_lattices(A)) ) ) )  =>  ( ~ (v2_struct_0(k17_openlatt(A)))  &  (v1_pre_topc(k17_openlatt(A)) & v2_pre_topc(k17_openlatt(A))) ) ) ) ).
fof(t1_openlatt, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k9_subset_1(u1_struct_0(A), B, k1_tops_1(A, k4_subset_1(u1_struct_0(A), k3_subset_1(u1_struct_0(A), B), C))), C)) ) ) ) ) ) ).
fof(t2_openlatt, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v3_pre_topc(D, A) & r1_tarski(k9_subset_1(u1_struct_0(A), B, D), C))  => r1_tarski(D, k1_tops_1(A, k4_subset_1(u1_struct_0(A), k3_subset_1(u1_struct_0(A), B), C)))) ) ) ) ) ) ) ) ) ).
fof(d1_openlatt, axiom,  (! [A] :  (l1_pre_topc(A) => k1_openlatt(A)=u1_pre_topc(A)) ) ).
fof(d2_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k1_openlatt(A), k1_openlatt(A)), k1_openlatt(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_openlatt(A), k1_openlatt(A)), k1_openlatt(A))))) )  =>  (B=k4_openlatt(A) <=>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(u1_struct_0(A)), k1_openlatt(A)) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(u1_struct_0(A)), k1_openlatt(A)) => k4_binop_1(k1_openlatt(A), B, C, D)=k2_openlatt(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(d3_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k1_openlatt(A), k1_openlatt(A)), k1_openlatt(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_openlatt(A), k1_openlatt(A)), k1_openlatt(A))))) )  =>  (B=k5_openlatt(A) <=>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(u1_struct_0(A)), k1_openlatt(A)) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(u1_struct_0(A)), k1_openlatt(A)) => k4_binop_1(k1_openlatt(A), B, C, D)=k3_openlatt(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t3_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( ~ (v2_struct_0(g3_lattices(k1_openlatt(A), k4_openlatt(A), k5_openlatt(A))))  &  (v10_lattices(g3_lattices(k1_openlatt(A), k4_openlatt(A), k5_openlatt(A))) & l3_lattices(g3_lattices(k1_openlatt(A), k4_openlatt(A), k5_openlatt(A)))) ) ) ) ).
fof(d4_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => k6_openlatt(A)=g3_lattices(k1_openlatt(A), k4_openlatt(A), k5_openlatt(A))) ) ).
fof(t4_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => u1_struct_0(k6_openlatt(A))=k1_openlatt(A)) ) ).
fof(t5_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k6_openlatt(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k6_openlatt(A))) =>  (k3_lattices(k6_openlatt(A), B, C)=k2_xboole_0(B, C) & k4_lattices(k6_openlatt(A), B, C)=k3_xboole_0(B, C)) ) ) ) ) ) ) ).
fof(t6_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k6_openlatt(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k6_openlatt(A))) =>  (r3_lattices(k6_openlatt(A), B, C) <=> r1_tarski(B, C)) ) ) ) ) ) ) ).
fof(t7_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k6_openlatt(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k6_openlatt(A))) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(u1_struct_0(A)), k1_openlatt(A)) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(u1_struct_0(A)), k1_openlatt(A)) =>  ( (B=D & C=E)  =>  (r3_lattices(k6_openlatt(A), B, C) <=> r1_tarski(D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v13_lattices(k6_openlatt(A)) & k5_lattices(k6_openlatt(A))=k1_xboole_0) ) ) ).
fof(t9_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => k6_lattices(k6_openlatt(A))=u1_struct_0(A)) ) ).
fof(t10_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (r2_tarski(B, k7_openlatt(A)) <=>  ( ~ (B=u1_struct_0(A))  & v2_filter_0(B, A)) ) ) ) ) ) ).
fof(t11_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v19_lattices(B, A) &  (v20_lattices(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(B, k1_funct_1(k8_openlatt(A), C)) <=>  (r2_tarski(B, k7_openlatt(A)) & r2_tarski(C, B)) ) ) ) ) ) ) ) ).
fof(t12_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (r2_tarski(C, k1_funct_1(k8_openlatt(A), B)) <=>  (? [D] :  ( ( ~ (v1_xboole_0(D))  &  (v19_lattices(D, A) &  (v20_lattices(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) )  &  (D=C &  ( ~ (D=u1_struct_0(A))  &  (v2_filter_0(D, A) & r2_tarski(B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  => k9_openlatt(A)=k10_xtuple_0(k8_openlatt(A))) ) ).
fof(t13_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (r2_tarski(B, k9_openlatt(A)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & B=k1_funct_1(k8_openlatt(A), C)) ) ) ) ) ) ).
fof(t14_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_funct_1(k8_openlatt(A), k3_lattices(A, B, C))=k2_xboole_0(k1_funct_1(k8_openlatt(A), B), k1_funct_1(k8_openlatt(A), C))) ) ) ) ) ) ).
fof(t15_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_funct_1(k8_openlatt(A), k4_lattices(A, B, C))=k3_xboole_0(k1_funct_1(k8_openlatt(A), B), k1_funct_1(k8_openlatt(A), C))) ) ) ) ) ) ).
fof(t16_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (r2_tarski(C, k10_openlatt(A, B)) <=>  ( ( ~ (v1_xboole_0(C))  &  (v19_lattices(C, A) &  (v20_lattices(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  & r2_tarski(B, C)) ) ) ) ) ) ) ).
fof(t17_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (r2_tarski(D, k7_subset_1(k1_zfmisc_1(u1_struct_0(A)), k10_openlatt(A, C), k10_openlatt(A, B))) =>  ( ( ~ (v1_xboole_0(D))  &  (v19_lattices(D, A) &  (v20_lattices(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) )  &  (r2_tarski(C, D) &  ~ (r2_tarski(B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ~ ( ( ~ (D=k1_xboole_0)  &  (r1_tarski(D, k7_subset_1(k1_zfmisc_1(u1_struct_0(A)), k10_openlatt(A, C), k10_openlatt(A, B))) &  (v6_ordinal1(D) &  (! [E] :  ~ ( (r2_tarski(E, k7_subset_1(k1_zfmisc_1(u1_struct_0(A)), k10_openlatt(A, C), k10_openlatt(A, B))) &  (! [F] :  (r2_tarski(F, D) => r1_tarski(F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (r3_lattices(A, C, B))  => r2_tarski(k2_filter_0(A, C), k7_subset_1(k1_zfmisc_1(u1_struct_0(A)), k10_openlatt(A, C), k10_openlatt(A, B)))) ) ) ) ) ) ) ).
fof(t20_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (r3_lattices(A, C, B))  &  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v19_lattices(D, A) &  (v20_lattices(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ~ ( (r2_tarski(D, k7_openlatt(A)) &  ( ~ (r2_tarski(B, D))  & r2_tarski(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v19_lattices(D, A) &  (v20_lattices(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ~ (r2_tarski(D, k7_openlatt(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  & k1_funct_1(k8_openlatt(A), B)=k1_funct_1(k8_openlatt(A), C)) ) ) ) ) ) ) ) ).
fof(d9_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k9_openlatt(A), k9_openlatt(A)), k9_openlatt(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_openlatt(A), k9_openlatt(A)), k9_openlatt(A))))) )  =>  (B=k13_openlatt(A) <=>  (! [C] :  (m1_subset_1(C, k9_openlatt(A)) =>  (! [D] :  (m1_subset_1(D, k9_openlatt(A)) => k4_binop_1(k9_openlatt(A), B, C, D)=k11_openlatt(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(d10_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k9_openlatt(A), k9_openlatt(A)), k9_openlatt(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_openlatt(A), k9_openlatt(A)), k9_openlatt(A))))) )  =>  (B=k14_openlatt(A) <=>  (! [C] :  (m1_subset_1(C, k9_openlatt(A)) =>  (! [D] :  (m1_subset_1(D, k9_openlatt(A)) => k4_binop_1(k9_openlatt(A), B, C, D)=k12_openlatt(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t23_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  ( ~ (v2_struct_0(g3_lattices(k9_openlatt(A), k13_openlatt(A), k14_openlatt(A))))  &  (v10_lattices(g3_lattices(k9_openlatt(A), k13_openlatt(A), k14_openlatt(A))) & l3_lattices(g3_lattices(k9_openlatt(A), k13_openlatt(A), k14_openlatt(A)))) ) ) ) ).
fof(d11_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  => k15_openlatt(A)=g3_lattices(k9_openlatt(A), k13_openlatt(A), k14_openlatt(A))) ) ).
fof(t24_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  => u1_struct_0(k15_openlatt(A))=k9_openlatt(A)) ) ).
fof(t25_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_openlatt(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_openlatt(A))) =>  (k3_lattices(k15_openlatt(A), B, C)=k2_xboole_0(B, C) & k4_lattices(k15_openlatt(A), B, C)=k3_xboole_0(B, C)) ) ) ) ) ) ) ).
fof(t26_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_openlatt(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_openlatt(A))) =>  (r3_lattices(k15_openlatt(A), B, C) <=> r1_tarski(B, C)) ) ) ) ) ) ) ).
fof(t27_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  => r1_filter_1(A, k15_openlatt(A))) ) ).
fof(t28_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v1_lattice2(A) & l3_lattices(A)) ) ) )  => k3_funct_2(u1_struct_0(A), u1_struct_0(k15_openlatt(A)), k16_openlatt(A), k6_lattices(A))=k7_openlatt(A)) ) ).
fof(t29_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v1_lattice2(A) & l3_lattices(A)) ) ) )  => k3_funct_2(u1_struct_0(A), u1_struct_0(k15_openlatt(A)), k16_openlatt(A), k5_lattices(A))=k1_xboole_0) ) ).
fof(t30_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v1_lattice2(A) & l3_lattices(A)) ) ) )  => r1_tarski(k9_openlatt(A), k9_setfam_1(k7_openlatt(A)))) ) ).
fof(t32_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v1_lattice2(A) & l3_lattices(A)) ) ) )  => r1_tarski(k9_openlatt(A), u1_struct_0(k6_openlatt(k17_openlatt(A))))) ) ).
fof(t33_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v1_lattice2(A) & l3_lattices(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(k6_openlatt(k17_openlatt(A))), k18_openlatt(A), k4_filter_0(A, B, C))=k4_filter_0(k6_openlatt(k17_openlatt(A)), k3_funct_2(u1_struct_0(A), u1_struct_0(k6_openlatt(k17_openlatt(A))), k18_openlatt(A), B), k3_funct_2(u1_struct_0(A), u1_struct_0(k6_openlatt(k17_openlatt(A))), k18_openlatt(A), C))) ) ) ) ) ) ).
fof(t34_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v1_lattice2(A) & l3_lattices(A)) ) ) )  => r1_lattice4(A, k6_openlatt(k17_openlatt(A)), k18_openlatt(A))) ) ).
fof(t35_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v1_lattice2(A) & l3_lattices(A)) ) ) )  => r2_lattice4(A, k6_openlatt(k17_openlatt(A)), k18_openlatt(A))) ) ).
fof(t36_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v1_lattice2(A) & l3_lattices(A)) ) ) )  => r3_lattice4(A, k6_openlatt(k17_openlatt(A)), k18_openlatt(A))) ) ).
fof(dt_k1_openlatt, axiom,  (! [A] :  (l1_pre_topc(A) => m1_subset_1(k1_openlatt(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k2_openlatt, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (m1_subset_1(B, k1_openlatt(A)) & m1_subset_1(C, k1_openlatt(A))) )  => m2_subset_1(k2_openlatt(A, B, C), k1_zfmisc_1(u1_struct_0(A)), k1_openlatt(A))) ) ).
fof(commutativity_k2_openlatt, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (m1_subset_1(B, k1_openlatt(A)) & m1_subset_1(C, k1_openlatt(A))) )  => k2_openlatt(A, B, C)=k2_openlatt(A, C, B)) ) ).
fof(idempotence_k2_openlatt, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (m1_subset_1(B, k1_openlatt(A)) & m1_subset_1(C, k1_openlatt(A))) )  => k2_openlatt(A, B, B)=B) ) ).
fof(redefinition_k2_openlatt, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (m1_subset_1(B, k1_openlatt(A)) & m1_subset_1(C, k1_openlatt(A))) )  => k2_openlatt(A, B, C)=k2_xboole_0(B, C)) ) ).
fof(dt_k3_openlatt, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (m1_subset_1(B, k1_openlatt(A)) & m1_subset_1(C, k1_openlatt(A))) )  => m2_subset_1(k3_openlatt(A, B, C), k1_zfmisc_1(u1_struct_0(A)), k1_openlatt(A))) ) ).
fof(commutativity_k3_openlatt, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (m1_subset_1(B, k1_openlatt(A)) & m1_subset_1(C, k1_openlatt(A))) )  => k3_openlatt(A, B, C)=k3_openlatt(A, C, B)) ) ).
fof(idempotence_k3_openlatt, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (m1_subset_1(B, k1_openlatt(A)) & m1_subset_1(C, k1_openlatt(A))) )  => k3_openlatt(A, B, B)=B) ) ).
fof(redefinition_k3_openlatt, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (m1_subset_1(B, k1_openlatt(A)) & m1_subset_1(C, k1_openlatt(A))) )  => k3_openlatt(A, B, C)=k3_xboole_0(B, C)) ) ).
fof(dt_k4_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v1_funct_1(k4_openlatt(A)) &  (v1_funct_2(k4_openlatt(A), k2_zfmisc_1(k1_openlatt(A), k1_openlatt(A)), k1_openlatt(A)) & m1_subset_1(k4_openlatt(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_openlatt(A), k1_openlatt(A)), k1_openlatt(A))))) ) ) ) ).
fof(dt_k5_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v1_funct_1(k5_openlatt(A)) &  (v1_funct_2(k5_openlatt(A), k2_zfmisc_1(k1_openlatt(A), k1_openlatt(A)), k1_openlatt(A)) & m1_subset_1(k5_openlatt(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_openlatt(A), k1_openlatt(A)), k1_openlatt(A))))) ) ) ) ).
fof(dt_k6_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( ~ (v2_struct_0(k6_openlatt(A)))  &  (v10_lattices(k6_openlatt(A)) & l3_lattices(k6_openlatt(A))) ) ) ) ).
fof(dt_k8_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (v1_relat_1(k8_openlatt(A)) & v1_funct_1(k8_openlatt(A))) ) ) ).
fof(dt_k10_openlatt, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k10_openlatt(A, B), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k11_openlatt, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  &  (m1_subset_1(B, k9_openlatt(A)) & m1_subset_1(C, k9_openlatt(A))) )  => m1_subset_1(k11_openlatt(A, B, C), k9_openlatt(A))) ) ).
fof(commutativity_k11_openlatt, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  &  (m1_subset_1(B, k9_openlatt(A)) & m1_subset_1(C, k9_openlatt(A))) )  => k11_openlatt(A, B, C)=k11_openlatt(A, C, B)) ) ).
fof(idempotence_k11_openlatt, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  &  (m1_subset_1(B, k9_openlatt(A)) & m1_subset_1(C, k9_openlatt(A))) )  => k11_openlatt(A, B, B)=B) ) ).
fof(redefinition_k11_openlatt, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  &  (m1_subset_1(B, k9_openlatt(A)) & m1_subset_1(C, k9_openlatt(A))) )  => k11_openlatt(A, B, C)=k2_xboole_0(B, C)) ) ).
fof(dt_k12_openlatt, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  &  (m1_subset_1(B, k9_openlatt(A)) & m1_subset_1(C, k9_openlatt(A))) )  => m1_subset_1(k12_openlatt(A, B, C), k9_openlatt(A))) ) ).
fof(commutativity_k12_openlatt, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  &  (m1_subset_1(B, k9_openlatt(A)) & m1_subset_1(C, k9_openlatt(A))) )  => k12_openlatt(A, B, C)=k12_openlatt(A, C, B)) ) ).
fof(idempotence_k12_openlatt, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  &  (m1_subset_1(B, k9_openlatt(A)) & m1_subset_1(C, k9_openlatt(A))) )  => k12_openlatt(A, B, B)=B) ) ).
fof(redefinition_k12_openlatt, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  &  (m1_subset_1(B, k9_openlatt(A)) & m1_subset_1(C, k9_openlatt(A))) )  => k12_openlatt(A, B, C)=k3_xboole_0(B, C)) ) ).
fof(dt_k13_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (v1_funct_1(k13_openlatt(A)) &  (v1_funct_2(k13_openlatt(A), k2_zfmisc_1(k9_openlatt(A), k9_openlatt(A)), k9_openlatt(A)) & m1_subset_1(k13_openlatt(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_openlatt(A), k9_openlatt(A)), k9_openlatt(A))))) ) ) ) ).
fof(dt_k14_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (v1_funct_1(k14_openlatt(A)) &  (v1_funct_2(k14_openlatt(A), k2_zfmisc_1(k9_openlatt(A), k9_openlatt(A)), k9_openlatt(A)) & m1_subset_1(k14_openlatt(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_openlatt(A), k9_openlatt(A)), k9_openlatt(A))))) ) ) ) ).
fof(dt_k15_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  ( ~ (v2_struct_0(k15_openlatt(A)))  &  (v10_lattices(k15_openlatt(A)) & l3_lattices(k15_openlatt(A))) ) ) ) ).
fof(dt_k16_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  => m1_lattice4(k16_openlatt(A), A, k15_openlatt(A))) ) ).
fof(redefinition_k16_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  => k16_openlatt(A)=k8_openlatt(A)) ) ).
fof(dt_k17_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v1_lattice2(A) & l3_lattices(A)) ) ) )  =>  (v1_pre_topc(k17_openlatt(A)) & l1_pre_topc(k17_openlatt(A))) ) ) ).
fof(dt_k18_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v1_lattice2(A) & l3_lattices(A)) ) ) )  => m1_lattice4(k18_openlatt(A), A, k6_openlatt(k17_openlatt(A)))) ) ).
fof(redefinition_k18_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v1_lattice2(A) & l3_lattices(A)) ) ) )  => k18_openlatt(A)=k8_openlatt(A)) ) ).
fof(d5_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  => k7_openlatt(A)=a_1_0_openlatt(A)) ) ).
fof(d6_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (B=k8_openlatt(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k9_xtuple_0(B)=u1_struct_0(A) & k1_funct_1(B, C)=a_2_0_openlatt(A, C)) ) ) ) ) ) ) ) ).
fof(d8_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) & l3_lattices(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k10_openlatt(A, B)=a_2_1_openlatt(A, B)) ) ) ) ).
fof(d12_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v1_lattice2(A) & l3_lattices(A)) ) ) )  =>  (! [B] :  ( (v1_pre_topc(B) & l1_pre_topc(B))  =>  (B=k17_openlatt(A) <=>  (u1_struct_0(B)=k7_openlatt(A) & u1_pre_topc(B)=a_1_1_openlatt(A)) ) ) ) ) ) ).
fof(t31_openlatt, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v10_lattices(A) &  (v1_lattice2(A) & l3_lattices(A)) ) ) )  => u1_struct_0(k6_openlatt(k17_openlatt(A)))=a_1_1_openlatt(A)) ) ).
fof(fraenkel_a_1_0_openlatt, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v11_lattices(B) & l3_lattices(B)) ) )  =>  (r2_hidden(A, a_1_0_openlatt(B)) <=>  (? [C] :  ( ( ~ (v1_xboole_0(C))  &  (v19_lattices(C, B) &  (v20_lattices(C, B) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B)))) ) )  &  (A=C &  ( ~ (C=u1_struct_0(B))  & v2_filter_0(C, B)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_openlatt, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v11_lattices(B) & l3_lattices(B)) ) )  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_2_0_openlatt(B, C)) <=>  (? [D] :  ( ( ~ (v1_xboole_0(D))  &  (v19_lattices(D, B) &  (v20_lattices(D, B) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) )  &  (A=D &  (r2_tarski(D, k7_openlatt(B)) & r2_tarski(C, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_openlatt, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v11_lattices(B) & l3_lattices(B)) ) )  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_2_1_openlatt(B, C)) <=>  (? [D] :  ( ( ~ (v1_xboole_0(D))  &  (v19_lattices(D, B) &  (v20_lattices(D, B) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) )  &  (A=D & r2_tarski(C, D)) ) ) ) ) ) ).
fof(fraenkel_a_1_1_openlatt, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v10_lattices(B) &  (v1_lattice2(B) & l3_lattices(B)) ) ) )  =>  (r2_hidden(A, a_1_1_openlatt(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_openlatt(B))) & A=k3_tarski(C)) ) ) ) ) ).
fof(rc1_oposet_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (v1_relat_1(B) &  (v2_relat_2(B) &  (v5_relat_2(B) & v8_relat_2(B)) ) ) ) ) ) ).
fof(fc1_oposet_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (v1_funct_1(C) &  (v1_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  =>  ( ~ (v2_struct_0(g2_qmax_1(A, B, C)))  & v3_qmax_1(g2_qmax_1(A, B, C))) ) ) ).
fof(rc2_oposet_1, axiom,  (? [A] :  (l2_qmax_1(A) &  ( ~ (v2_struct_0(A))  & v3_qmax_1(A)) ) ) ).
fof(rc3_oposet_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_funct_2(B, A, A) & v1_partit_2(B)) ) ) ) ) ) ) ).
fof(fc2_oposet_1, axiom,  (v13_struct_0(k1_oposet_1, 1) & v3_qmax_1(k1_oposet_1)) ).
fof(fc3_oposet_1, axiom,  ( ~ (v2_struct_0(k2_oposet_1))  & v3_qmax_1(k2_oposet_1)) ).
fof(fc4_oposet_1, axiom,  (v3_qmax_1(k1_oposet_1) & v1_oposet_1(k1_oposet_1)) ).
fof(rc4_oposet_1, axiom,  (? [A] :  (l2_qmax_1(A) &  ( ~ (v2_struct_0(A))  & v1_oposet_1(A)) ) ) ).
fof(fc5_oposet_1, axiom,  (v3_orders_2(k1_oposet_1) & v3_qmax_1(k1_oposet_1)) ).
fof(rc5_oposet_1, axiom,  (? [A] :  (l2_qmax_1(A) &  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & v3_qmax_1(A)) ) ) ) ).
fof(fc6_oposet_1, axiom,  (v3_necklace(k2_oposet_1) & v3_qmax_1(k2_oposet_1)) ).
fof(rc6_oposet_1, axiom,  (? [A] :  (l2_qmax_1(A) &  ( ~ (v2_struct_0(A))  &  (v3_necklace(A) & v3_qmax_1(A)) ) ) ) ).
fof(rc7_oposet_1, axiom,  (? [A] :  (l2_qmax_1(A) &  ( ~ (v2_struct_0(A))  &  (v1_necklace(A) & v3_qmax_1(A)) ) ) ) ).
fof(fc7_oposet_1, axiom,  (v1_necklace(k1_oposet_1) & v3_qmax_1(k1_oposet_1)) ).
fof(rc8_oposet_1, axiom,  (? [A] :  (l2_qmax_1(A) &  ( ~ (v2_struct_0(A))  &  (v5_orders_2(A) &  (v1_necklace(A) & v3_qmax_1(A)) ) ) ) ) ).
fof(fc8_oposet_1, axiom,  (v2_necklace(k2_oposet_1) & v3_qmax_1(k2_oposet_1)) ).
fof(rc9_oposet_1, axiom,  (? [A] :  (l2_qmax_1(A) &  ( ~ (v2_struct_0(A))  &  (v2_necklace(A) & v3_qmax_1(A)) ) ) ) ).
fof(rc10_oposet_1, axiom,  (? [A] :  (l2_qmax_1(A) &  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_necklace(A) & v3_qmax_1(A)) ) ) ) ) ) ) ).
fof(fc9_oposet_1, axiom,  (v4_orders_2(k2_oposet_1) &  (v2_necklace(k2_oposet_1) &  (v3_necklace(k2_oposet_1) & v3_qmax_1(k2_oposet_1)) ) ) ).
fof(rc11_oposet_1, axiom,  (? [A] :  (l2_qmax_1(A) &  ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) &  (v2_necklace(A) &  (v3_necklace(A) & v3_qmax_1(A)) ) ) ) ) ) ).
fof(cc1_oposet_1, axiom,  (! [A] :  (l2_qmax_1(A) =>  ( ( ~ (v2_struct_0(A))  & v4_oposet_1(A))  =>  ( ~ (v2_struct_0(A))  & v3_oposet_1(A)) ) ) ) ).
fof(fc10_oposet_1, axiom,  (v3_qmax_1(k1_oposet_1) & v4_oposet_1(k1_oposet_1)) ).
fof(rc12_oposet_1, axiom,  (? [A] :  (l2_qmax_1(A) &  ( ~ (v2_struct_0(A))  &  (v3_qmax_1(A) &  (v1_oposet_1(A) &  (v4_oposet_1(A) & v5_oposet_1(A)) ) ) ) ) ) ).
fof(fc11_oposet_1, axiom,  (v3_qmax_1(k1_oposet_1) & v5_oposet_1(k1_oposet_1)) ).
fof(cc2_oposet_1, axiom,  (! [A] :  (l2_qmax_1(A) =>  ( ( ~ (v2_struct_0(A))  & v6_oposet_1(A))  =>  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) & v5_orders_2(A)) ) ) ) ) ) ).
fof(cc3_oposet_1, axiom,  (! [A] :  (l2_qmax_1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) & v5_orders_2(A)) ) )  =>  ( ~ (v2_struct_0(A))  & v6_oposet_1(A)) ) ) ) ).
fof(rc13_oposet_1, axiom,  (? [A] :  (l2_qmax_1(A) &  ( ~ (v2_struct_0(A))  &  (v3_qmax_1(A) &  (v1_oposet_1(A) &  (v6_oposet_1(A) & v7_oposet_1(A)) ) ) ) ) ) ).
fof(fc12_oposet_1, axiom,  (v3_qmax_1(k1_oposet_1) & v7_oposet_1(k1_oposet_1)) ).
fof(cc4_oposet_1, axiom,  (! [A] :  (l2_qmax_1(A) =>  ( ( ~ (v2_struct_0(A))  & v8_oposet_1(A))  =>  ( ~ (v2_struct_0(A))  & v3_necklace(A)) ) ) ) ).
fof(cc5_oposet_1, axiom,  (! [A] :  (l2_qmax_1(A) =>  ( ( ~ (v2_struct_0(A))  & v8_oposet_1(A))  =>  ( ~ (v2_struct_0(A))  & v3_necklace(A)) ) ) ) ).
fof(fc13_oposet_1, axiom,  (v3_necklace(k2_oposet_1) &  (v3_qmax_1(k2_oposet_1) & v8_oposet_1(k2_oposet_1)) ) ).
fof(rc14_oposet_1, axiom,  (? [A] :  (l2_qmax_1(A) &  ( ~ (v2_struct_0(A))  &  (v3_necklace(A) &  (v3_qmax_1(A) & v8_oposet_1(A)) ) ) ) ) ).
fof(cc6_oposet_1, axiom,  (! [A] :  (l2_qmax_1(A) =>  ( ( ~ (v2_struct_0(A))  & v6_oposet_1(A))  =>  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) & v5_orders_2(A)) ) ) ) ) ) ).
fof(fc14_oposet_1, axiom,  (v3_qmax_1(k1_oposet_1) & v10_oposet_1(k1_oposet_1)) ).
fof(rc15_oposet_1, axiom,  (? [A] :  (l2_qmax_1(A) &  ( ~ (v2_struct_0(A))  &  (v6_oposet_1(A) &  (v7_oposet_1(A) & v10_oposet_1(A)) ) ) ) ) ).
fof(fc15_oposet_1, axiom,  (v3_qmax_1(k1_oposet_1) &  (v11_oposet_1(k1_oposet_1) & v12_oposet_1(k1_oposet_1)) ) ).
fof(rc16_oposet_1, axiom,  (? [A] :  (l2_qmax_1(A) &  ( ~ (v2_struct_0(A))  &  (v6_oposet_1(A) &  (v11_oposet_1(A) & v12_oposet_1(A)) ) ) ) ) ).
fof(t1_oposet_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_orders_2(A, B, C) =>  (k1_yellow_0(A, k7_domain_1(u1_struct_0(A), B, C))=C & k2_yellow_0(A, k7_domain_1(u1_struct_0(A), B, C))=B) ) ) ) ) ) ) ) ).
fof(d1_oposet_1, axiom, k1_oposet_1=g2_qmax_1(k1_tarski(k5_ordinal1), k6_partfun1(k1_tarski(k5_ordinal1)), k8_funct_5)).
fof(d2_oposet_1, axiom, k2_oposet_1=g2_qmax_1(k1_tarski(k5_ordinal1), k1_partit_2(k1_tarski(k5_ordinal1), k1_tarski(k5_ordinal1)), k8_funct_5)).
fof(d3_oposet_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_qmax_1(A))  =>  (v1_oposet_1(A) <=>  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  &  (r2_funct_2(u1_struct_0(A), u1_struct_0(A), B, u1_robbins1(A)) & v1_partit_2(B)) ) ) ) ) ) ).
fof(d4_oposet_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (v2_oposet_1(A) <=> v1_relat_2(u1_orders_2(A))) ) ) ).
fof(t2_oposet_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (v3_orders_2(A) => v2_oposet_1(A)) ) ) ).
fof(t3_oposet_1, axiom, v3_orders_2(k1_oposet_1)).
fof(d5_oposet_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (v3_necklace(A) <=> v2_relat_2(u1_orders_2(A))) ) ) ).
fof(d6_oposet_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (v3_necklace(A) <=> r2_relat_2(u1_orders_2(A), u1_struct_0(A))) ) ) ).
fof(t4_oposet_1, axiom, v3_necklace(k2_oposet_1)).
fof(d7_oposet_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (v1_necklace(A) <=>  (v3_relat_2(u1_orders_2(A)) & m1_subset_1(u1_orders_2(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ).
fof(t5_oposet_1, axiom, v1_necklace(k1_oposet_1)).
fof(d8_oposet_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (v5_orders_2(A) <=>  (v4_relat_2(u1_orders_2(A)) & m1_subset_1(u1_orders_2(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ).
fof(d9_oposet_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (v2_necklace(A) <=> r5_relat_2(u1_orders_2(A), u1_struct_0(A))) ) ) ).
fof(t6_oposet_1, axiom, v2_necklace(k2_oposet_1)).
fof(d10_oposet_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (v4_orders_2(A) <=>  (v8_relat_2(u1_orders_2(A)) & m1_subset_1(u1_orders_2(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ).
fof(t7_oposet_1, axiom, v4_orders_2(k2_oposet_1)).
fof(t8_oposet_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  ( (v1_necklace(A) & v4_orders_2(A))  => v2_oposet_1(A)) ) ) ).
fof(t9_oposet_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  ( (v3_necklace(A) & v4_orders_2(A))  => v2_necklace(A)) ) ) ).
fof(t10_oposet_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (v2_necklace(A) => v3_necklace(A)) ) ) ).
fof(d11_oposet_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (v3_oposet_1(A) <=>  (v2_oposet_1(A) & v4_orders_2(A)) ) ) ) ).
fof(d12_oposet_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (v4_oposet_1(A) <=>  (v3_orders_2(A) & v4_orders_2(A)) ) ) ) ).
fof(t11_oposet_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (v4_oposet_1(A) => v3_oposet_1(A)) ) ) ).
fof(d13_oposet_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_qmax_1(A))  =>  (v5_oposet_1(A) <=>  (v1_oposet_1(A) & v4_oposet_1(A)) ) ) ) ).
fof(d14_oposet_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_qmax_1(A))  =>  (v6_oposet_1(A) <=>  (v3_orders_2(A) &  (v5_orders_2(A) & v4_orders_2(A)) ) ) ) ) ).
fof(d15_oposet_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_qmax_1(A))  =>  (v7_oposet_1(A) <=>  (v1_oposet_1(A) & v6_oposet_1(A)) ) ) ) ).
fof(d16_oposet_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_qmax_1(A))  =>  (v8_oposet_1(A) <=>  (v2_necklace(A) & v4_orders_2(A)) ) ) ) ).
fof(t12_oposet_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_qmax_1(A))  =>  (v8_oposet_1(A) => v3_necklace(A)) ) ) ).
fof(t13_oposet_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_oposet_1(A) & l2_qmax_1(A)) )  =>  (v5_orders_2(A) => v6_oposet_1(A)) ) ) ).
fof(d17_oposet_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (v9_oposet_1(B, A) <=>  (v1_partit_2(B) & v5_waybel_0(B, A, A)) ) ) ) ) ) ).
fof(d18_oposet_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_qmax_1(A))  =>  (v10_oposet_1(A) <=> v9_oposet_1(u1_robbins1(A), A)) ) ) ).
fof(t14_oposet_1, axiom, v9_oposet_1(u1_robbins1(k1_oposet_1), k1_oposet_1)).
fof(d19_oposet_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (r1_oposet_1(A, B) <=>  (v9_oposet_1(B, A) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_yellow_0(A, k7_domain_1(u1_struct_0(A), C, k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, C))) & r2_yellow_0(A, k7_domain_1(u1_struct_0(A), C, k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, C)))) ) ) ) ) ) ) ) ) ).
fof(d20_oposet_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_qmax_1(A))  =>  (v11_oposet_1(A) <=>  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  &  (r2_funct_2(u1_struct_0(A), u1_struct_0(A), B, u1_robbins1(A)) & r1_oposet_1(A, B)) ) ) ) ) ) ).
fof(t15_oposet_1, axiom, v11_oposet_1(k1_oposet_1)).
fof(d21_oposet_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (r2_oposet_1(A, B) <=>  (v9_oposet_1(B, A) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_yellow_0(A, k7_domain_1(u1_struct_0(A), C, k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, C))) &  (r2_yellow_0(A, k7_domain_1(u1_struct_0(A), C, k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, C))) &  (r4_waybel_1(A, k1_yellow_0(A, k7_domain_1(u1_struct_0(A), C, k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, C))), u1_struct_0(A)) & r3_waybel_1(A, k2_yellow_0(A, k7_domain_1(u1_struct_0(A), C, k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, C))), u1_struct_0(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(d22_oposet_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_qmax_1(A))  =>  (v12_oposet_1(A) <=>  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  &  (r2_funct_2(u1_struct_0(A), u1_struct_0(A), B, u1_robbins1(A)) & r2_oposet_1(A, B)) ) ) ) ) ) ).
fof(t16_oposet_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_qmax_1(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (r2_oposet_1(A, B) => r1_oposet_1(A, B)) ) ) ) ) ).
fof(t17_oposet_1, axiom, v12_oposet_1(k1_oposet_1)).
fof(dt_k1_oposet_1, axiom,  (v3_qmax_1(k1_oposet_1) & l2_qmax_1(k1_oposet_1)) ).
fof(dt_k2_oposet_1, axiom,  (v3_qmax_1(k2_oposet_1) & l2_qmax_1(k2_oposet_1)) ).
fof(fc1_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k1_oppcat_1(A)))  &  ( ~ (v11_struct_0(k1_oppcat_1(A)))  &  (v1_cat_1(k1_oppcat_1(A)) &  (v2_cat_1(k1_oppcat_1(A)) &  (v3_cat_1(k1_oppcat_1(A)) &  (v4_cat_1(k1_oppcat_1(A)) &  (v5_cat_1(k1_oppcat_1(A)) & v6_cat_1(k1_oppcat_1(A))) ) ) ) ) ) ) ) ) ).
fof(d1_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  => k1_oppcat_1(A)=g1_cat_1(u1_struct_0(A), u4_struct_0(A), u2_graph_1(A), u1_graph_1(A), k3_funct_4(u4_struct_0(A), u4_struct_0(A), u4_struct_0(A), u1_cat_1(A)))) ) ).
fof(d2_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_oppcat_1(A, B)=B) ) ) ) ).
fof(d3_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_oppcat_1(A))) => k3_oppcat_1(A, B)=k2_oppcat_1(k1_oppcat_1(A), B)) ) ) ) ).
fof(t2_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_oppcat_1(k1_oppcat_1(A), k2_oppcat_1(A, B))=B) ) ) ) ).
fof(t3_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k3_oppcat_1(A, k2_oppcat_1(A, B))=B) ) ) ) ).
fof(t4_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_oppcat_1(A))) => k2_oppcat_1(A, k3_oppcat_1(A, B))=B) ) ) ) ).
fof(t5_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_cat_1(A, B, C)=k2_cat_1(k1_oppcat_1(A), k2_oppcat_1(A, C), k2_oppcat_1(A, B))) ) ) ) ) ) ).
fof(t6_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_oppcat_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_oppcat_1(A))) => k2_cat_1(k1_oppcat_1(A), B, C)=k2_cat_1(A, k3_oppcat_1(A, C), k3_oppcat_1(A, B))) ) ) ) ) ) ).
fof(d4_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) => k4_oppcat_1(A, B)=B) ) ) ) ).
fof(d5_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(k1_oppcat_1(A))) => k5_oppcat_1(A, B)=k4_oppcat_1(k1_oppcat_1(A), B)) ) ) ) ).
fof(d6_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (k2_cat_1(A, B, C)=k1_xboole_0)  =>  (! [D] :  (m1_cat_1(D, A, B, C) => k6_oppcat_1(A, B, C, D)=D) ) ) ) ) ) ) ) ) ).
fof(d7_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (k2_cat_1(k1_oppcat_1(A), k2_oppcat_1(A, B), k2_oppcat_1(A, C))=k1_xboole_0)  =>  (! [D] :  (m1_cat_1(D, k1_oppcat_1(A), k2_oppcat_1(A, B), k2_oppcat_1(A, C)) => k7_oppcat_1(A, B, C, D)=D) ) ) ) ) ) ) ) ) ).
fof(t7_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (k2_cat_1(A, B, C)=k1_xboole_0)  =>  (! [D] :  (m1_cat_1(D, A, B, C) => k6_oppcat_1(k1_oppcat_1(A), k2_oppcat_1(A, C), k2_oppcat_1(A, B), k6_oppcat_1(A, B, C, D))=D) ) ) ) ) ) ) ) ) ).
fof(t8_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (k2_cat_1(A, B, C)=k1_xboole_0)  =>  (! [D] :  (m1_cat_1(D, A, B, C) => k7_oppcat_1(A, C, B, k6_oppcat_1(A, B, C, D))=D) ) ) ) ) ) ) ) ) ).
fof(t9_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_oppcat_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_oppcat_1(A))) =>  (! [D] :  (m1_cat_1(D, k1_oppcat_1(A), B, C) => k4_oppcat_1(A, k5_oppcat_1(A, D))=D) ) ) ) ) ) ) ) ).
fof(t10_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (k2_cat_1(A, B, C)=k1_xboole_0)  =>  (! [D] :  (m1_cat_1(D, A, B, C) =>  (k3_graph_1(k1_oppcat_1(A), k6_oppcat_1(A, B, C, D))=k4_graph_1(A, D) & k4_graph_1(k1_oppcat_1(A), k6_oppcat_1(A, B, C, D))=k3_graph_1(A, D)) ) ) ) ) ) ) ) ) ) ).
fof(t11_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_oppcat_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_oppcat_1(A))) =>  (! [D] :  (m1_cat_1(D, k1_oppcat_1(A), B, C) =>  (k3_graph_1(A, k5_oppcat_1(A, D))=k4_graph_1(k1_oppcat_1(A), D) & k4_graph_1(A, k5_oppcat_1(A, D))=k3_graph_1(k1_oppcat_1(A), D)) ) ) ) ) ) ) ) ) ).
fof(t12_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (k2_cat_1(A, B, C)=k1_xboole_0)  =>  (! [D] :  (m1_cat_1(D, A, B, C) =>  (k2_oppcat_1(A, k3_graph_1(A, D))=k4_graph_1(k1_oppcat_1(A), k6_oppcat_1(A, B, C, D)) & k2_oppcat_1(A, k4_graph_1(A, D))=k3_graph_1(k1_oppcat_1(A), k6_oppcat_1(A, B, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t13_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_oppcat_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_oppcat_1(A))) =>  ( ~ (k2_cat_1(k1_oppcat_1(A), B, C)=k1_xboole_0)  =>  (! [D] :  (m1_cat_1(D, k1_oppcat_1(A), B, C) =>  (k3_oppcat_1(A, k3_graph_1(k1_oppcat_1(A), D))=k4_graph_1(A, k5_oppcat_1(A, D)) & k3_oppcat_1(A, k4_graph_1(k1_oppcat_1(A), D))=k3_graph_1(A, k5_oppcat_1(A, D))) ) ) ) ) ) ) ) ) ) ).
fof(t15_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_oppcat_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_oppcat_1(A))) =>  (! [D] :  (m1_cat_1(D, k1_oppcat_1(A), B, C) =>  ( ~ (k2_cat_1(k1_oppcat_1(A), B, C)=k1_xboole_0)  => m1_cat_1(k5_oppcat_1(A, D), A, k3_oppcat_1(A, C), k3_oppcat_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(t16_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (k2_cat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, C, D)=k1_xboole_0)  &  ~ ( (! [E] :  (m1_cat_1(E, A, B, C) =>  (! [F] :  (m1_cat_1(F, A, C, D) => k4_oppcat_1(A, k1_cat_1(A, E, F))=k1_cat_1(k1_oppcat_1(A), k6_oppcat_1(A, C, D, F), k6_oppcat_1(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (k2_cat_1(k1_oppcat_1(A), k2_oppcat_1(A, C), k2_oppcat_1(A, B))=k1_xboole_0)  &  ( ~ (k2_cat_1(k1_oppcat_1(A), k2_oppcat_1(A, D), k2_oppcat_1(A, C))=k1_xboole_0)  &  ~ ( (! [E] :  (m1_cat_1(E, A, B, C) =>  (! [F] :  (m1_cat_1(F, A, C, D) => k4_oppcat_1(A, k1_cat_1(A, E, F))=k1_cat_1(k1_oppcat_1(A), k6_oppcat_1(A, C, D, F), k6_oppcat_1(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(k1_oppcat_1(A))) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(k1_oppcat_1(A))) =>  (k3_graph_1(k1_oppcat_1(A), C)=k4_graph_1(k1_oppcat_1(A), B) => k5_oppcat_1(A, k1_cat_1(k1_oppcat_1(A), B, C))=k1_cat_1(A, k5_oppcat_1(A, C), k5_oppcat_1(A, B))) ) ) ) ) ) ) ).
fof(t19_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_cat_1(E, A, B, C) =>  (! [F] :  (m1_cat_1(F, A, C, D) =>  ~ ( ( ~ (k2_cat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, C, D)=k1_xboole_0)  &  ~ (k6_oppcat_1(A, B, D, k5_cat_1(A, B, C, D, E, F))=k1_cat_1(k1_oppcat_1(A), k6_oppcat_1(A, C, D, F), k6_oppcat_1(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_oppcat_1(A, B, B, k4_cat_1(A, B))=k4_cat_1(k1_oppcat_1(A), k2_oppcat_1(A, B))) ) ) ) ).
fof(t21_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_oppcat_1(A))) => k5_oppcat_1(A, k4_cat_1(k1_oppcat_1(A), B))=k4_cat_1(A, k3_oppcat_1(A, B))) ) ) ) ).
fof(t22_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_cat_1(D, A, B, C) =>  (v7_cat_1(k6_oppcat_1(A, B, C, D), k1_oppcat_1(A), k2_oppcat_1(A, C), k2_oppcat_1(A, B)) <=> v8_cat_1(D, A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t23_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (k2_cat_1(A, B, C)=k1_xboole_0)  =>  (! [D] :  (m1_cat_1(D, A, B, C) =>  (v8_cat_1(k6_oppcat_1(A, B, C, D), k1_oppcat_1(A), k2_oppcat_1(A, C), k2_oppcat_1(A, B)) <=> v7_cat_1(D, A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t24_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_cat_1(D, A, B, C) =>  (v9_cat_1(k6_oppcat_1(A, B, C, D), k1_oppcat_1(A), k2_oppcat_1(A, C), k2_oppcat_1(A, B)) <=> v9_cat_1(D, A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t25_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v11_cat_1(B, A) <=> v10_cat_1(k2_oppcat_1(A, B), k1_oppcat_1(A))) ) ) ) ) ).
fof(t26_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v11_cat_1(k2_oppcat_1(A, B), k1_oppcat_1(A)) <=> v10_cat_1(B, A)) ) ) ) ) ).
fof(d8_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u4_struct_0(k1_oppcat_1(A)), u4_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(k1_oppcat_1(A)), u4_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u4_struct_0(A), u4_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B))))) )  =>  (D=k8_oppcat_1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) => k3_funct_2(u4_struct_0(A), u4_struct_0(B), D, E)=k3_funct_2(u4_struct_0(k1_oppcat_1(A)), u4_struct_0(B), C, k4_oppcat_1(A, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u4_struct_0(k1_oppcat_1(B)), u4_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(k1_oppcat_1(B)), u4_struct_0(A))))) )  =>  (! [D] :  (m1_subset_1(D, u4_struct_0(k1_oppcat_1(B))) => k3_funct_2(u4_struct_0(B), u4_struct_0(A), k8_oppcat_1(B, A, C), k5_oppcat_1(B, D))=k3_funct_2(u4_struct_0(k1_oppcat_1(B)), u4_struct_0(A), C, D)) ) ) ) ) ) ) ) ).
fof(t28_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, k1_oppcat_1(B), A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k3_funct_2(u1_struct_0(B), u1_struct_0(A), k7_cat_1(B, A, k8_oppcat_1(B, A, C)), D)=k3_funct_2(u1_struct_0(k1_oppcat_1(B)), u1_struct_0(A), k7_cat_1(k1_oppcat_1(B), A, C), k2_oppcat_1(B, D))) ) ) ) ) ) ) ) ).
fof(t29_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, k1_oppcat_1(B), A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_oppcat_1(B))) => k3_funct_2(u1_struct_0(B), u1_struct_0(A), k7_cat_1(B, A, k8_oppcat_1(B, A, C)), k3_oppcat_1(B, D))=k3_funct_2(u1_struct_0(k1_oppcat_1(B)), u1_struct_0(A), k7_cat_1(k1_oppcat_1(B), A, C), D)) ) ) ) ) ) ) ) ).
fof(d9_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u4_struct_0(A), u4_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B))))) )  =>  (m1_oppcat_1(C, A, B) <=>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) & k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, k4_cat_1(A, D))=k4_cat_1(B, E)) ) ) )  &  ( (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, k4_cat_1(A, k3_graph_1(A, D)))=k4_cat_1(B, k4_graph_1(B, k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, D))) & k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, k4_cat_1(A, k4_graph_1(A, D)))=k4_cat_1(B, k3_graph_1(B, k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, D)))) ) )  &  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (k3_graph_1(A, E)=k4_graph_1(A, D) => k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, k1_cat_1(A, D, E))=k1_cat_1(B, k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, E), k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_oppcat_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, k4_cat_1(A, D))=k4_cat_1(B, E) => k3_funct_2(u1_struct_0(A), u1_struct_0(B), k7_cat_1(A, B, C), D)=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_oppcat_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, k4_cat_1(A, D))=k4_cat_1(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), k7_cat_1(A, B, C), D))) ) ) ) ) ) ) ) ).
fof(t32_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_oppcat_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (k3_funct_2(u1_struct_0(A), u1_struct_0(B), k7_cat_1(A, B, C), k3_graph_1(A, D))=k4_graph_1(B, k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, D)) & k3_funct_2(u1_struct_0(A), u1_struct_0(B), k7_cat_1(A, B, C), k4_graph_1(A, D))=k3_graph_1(B, k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, D))) ) ) ) ) ) ) ) ) ).
fof(t33_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_oppcat_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (k3_graph_1(A, E)=k4_graph_1(A, D) => k3_graph_1(B, k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, D))=k4_graph_1(B, k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, k1_oppcat_1(B), A) => m1_oppcat_1(k8_oppcat_1(B, A, C), B, A)) ) ) ) ) ) ).
fof(t35_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m1_oppcat_1(D, B, A) =>  (! [E] :  (m1_oppcat_1(E, A, C) => m2_cat_1(k1_partfun1(u4_struct_0(B), u4_struct_0(A), u4_struct_0(A), u4_struct_0(C), D, E), B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t36_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_oppcat_1(C, k1_oppcat_1(B), A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k3_funct_2(u1_struct_0(B), u1_struct_0(A), k7_cat_1(B, A, k8_oppcat_1(B, A, C)), D)=k3_funct_2(u1_struct_0(k1_oppcat_1(B)), u1_struct_0(A), k7_cat_1(k1_oppcat_1(B), A, C), k2_oppcat_1(B, D))) ) ) ) ) ) ) ) ).
fof(t37_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_oppcat_1(C, k1_oppcat_1(B), A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_oppcat_1(B))) => k3_funct_2(u1_struct_0(B), u1_struct_0(A), k7_cat_1(B, A, k8_oppcat_1(B, A, C)), k3_oppcat_1(B, D))=k3_funct_2(u1_struct_0(k1_oppcat_1(B)), u1_struct_0(A), k7_cat_1(k1_oppcat_1(B), A, C), D)) ) ) ) ) ) ) ) ).
fof(t38_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_oppcat_1(C, k1_oppcat_1(B), A) => m2_cat_1(k8_oppcat_1(B, A, C), B, A)) ) ) ) ) ) ).
fof(d10_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u4_struct_0(A), u4_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u4_struct_0(k1_oppcat_1(A)), u4_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(k1_oppcat_1(A)), u4_struct_0(B))))) )  =>  (D=k9_oppcat_1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u4_struct_0(k1_oppcat_1(A))) => k3_funct_2(u4_struct_0(k1_oppcat_1(A)), u4_struct_0(B), D, E)=k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, k5_oppcat_1(A, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u4_struct_0(A), u4_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u4_struct_0(A), u4_struct_0(k1_oppcat_1(B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), u4_struct_0(k1_oppcat_1(B)))))) )  =>  (D=k10_oppcat_1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) => k3_funct_2(u4_struct_0(A), u4_struct_0(k1_oppcat_1(B)), D, E)=k4_oppcat_1(B, k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u4_struct_0(B), u4_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(B), u4_struct_0(A))))) )  =>  (! [D] :  (m1_subset_1(D, u4_struct_0(B)) => k3_funct_2(u4_struct_0(k1_oppcat_1(B)), u4_struct_0(A), k9_oppcat_1(B, A, C), k4_oppcat_1(B, D))=k3_funct_2(u4_struct_0(B), u4_struct_0(A), C, D)) ) ) ) ) ) ) ) ).
fof(t40_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, B, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_oppcat_1(B))) => k3_funct_2(u1_struct_0(k1_oppcat_1(B)), u1_struct_0(A), k7_cat_1(k1_oppcat_1(B), A, k9_oppcat_1(B, A, C)), D)=k3_funct_2(u1_struct_0(B), u1_struct_0(A), k7_cat_1(B, A, C), k3_oppcat_1(B, D))) ) ) ) ) ) ) ) ).
fof(t41_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, B, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k3_funct_2(u1_struct_0(k1_oppcat_1(B)), u1_struct_0(A), k7_cat_1(k1_oppcat_1(B), A, k9_oppcat_1(B, A, C)), k2_oppcat_1(B, D))=k3_funct_2(u1_struct_0(B), u1_struct_0(A), k7_cat_1(B, A, C), D)) ) ) ) ) ) ) ) ).
fof(t42_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, B, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k3_funct_2(u1_struct_0(B), u1_struct_0(k1_oppcat_1(A)), k7_cat_1(B, k1_oppcat_1(A), k10_oppcat_1(B, A, C)), D)=k2_oppcat_1(A, k3_funct_2(u1_struct_0(B), u1_struct_0(A), k7_cat_1(B, A, C), D))) ) ) ) ) ) ) ) ).
fof(t43_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_oppcat_1(C, B, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k1_oppcat_1(B))) => k3_funct_2(u1_struct_0(k1_oppcat_1(B)), u1_struct_0(A), k7_cat_1(k1_oppcat_1(B), A, k9_oppcat_1(B, A, C)), D)=k3_funct_2(u1_struct_0(B), u1_struct_0(A), k7_cat_1(B, A, C), k3_oppcat_1(B, D))) ) ) ) ) ) ) ) ).
fof(t44_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_oppcat_1(C, B, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k3_funct_2(u1_struct_0(k1_oppcat_1(B)), u1_struct_0(A), k7_cat_1(k1_oppcat_1(B), A, k9_oppcat_1(B, A, C)), k2_oppcat_1(B, D))=k3_funct_2(u1_struct_0(B), u1_struct_0(A), k7_cat_1(B, A, C), D)) ) ) ) ) ) ) ) ).
fof(t45_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_oppcat_1(C, B, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k3_funct_2(u1_struct_0(B), u1_struct_0(k1_oppcat_1(A)), k7_cat_1(B, k1_oppcat_1(A), k10_oppcat_1(B, A, C)), D)=k2_oppcat_1(A, k3_funct_2(u1_struct_0(B), u1_struct_0(A), k7_cat_1(B, A, C), D))) ) ) ) ) ) ) ) ).
fof(t46_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u4_struct_0(A), u4_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B))))) )  =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) => k3_funct_2(u4_struct_0(k1_oppcat_1(A)), u4_struct_0(k1_oppcat_1(B)), k10_oppcat_1(k1_oppcat_1(A), B, k9_oppcat_1(A, B, C)), k4_oppcat_1(A, D))=k4_oppcat_1(B, k3_funct_2(u4_struct_0(A), u4_struct_0(B), C, D))) ) ) ) ) ) ) ) ).
fof(t47_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u4_struct_0(A), u4_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B))))) )  => r2_funct_2(u4_struct_0(A), u4_struct_0(B), k8_oppcat_1(A, B, k9_oppcat_1(A, B, C)), C)) ) ) ) ) ) ).
fof(t48_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u4_struct_0(k1_oppcat_1(A)), u4_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(k1_oppcat_1(A)), u4_struct_0(B))))) )  => r2_funct_2(u4_struct_0(k1_oppcat_1(A)), u4_struct_0(B), k9_oppcat_1(A, B, k8_oppcat_1(A, B, C)), C)) ) ) ) ) ) ).
fof(t49_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u4_struct_0(A), u4_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B))))) )  => r2_funct_2(u4_struct_0(k1_oppcat_1(A)), u4_struct_0(k1_oppcat_1(B)), k10_oppcat_1(k1_oppcat_1(A), B, k9_oppcat_1(A, B, C)), k9_oppcat_1(A, k1_oppcat_1(B), k10_oppcat_1(A, B, C)))) ) ) ) ) ) ).
fof(t50_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_cat_1(B) &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u4_struct_0(A), u4_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B))))) )  => r1_funct_2(u4_struct_0(A), u4_struct_0(k1_oppcat_1(k1_oppcat_1(B))), u4_struct_0(A), u4_struct_0(B), k10_oppcat_1(A, k1_oppcat_1(B), k10_oppcat_1(A, B, C)), C)) ) ) ) ) ) ).
fof(t51_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_cat_1(B) &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u4_struct_0(B), u4_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(B), u4_struct_0(A))))) )  => r1_funct_2(u4_struct_0(k1_oppcat_1(k1_oppcat_1(B))), u4_struct_0(A), u4_struct_0(B), u4_struct_0(A), k9_oppcat_1(k1_oppcat_1(B), A, k9_oppcat_1(B, A, C)), C)) ) ) ) ) ) ).
fof(t52_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u4_struct_0(B), u4_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(B), u4_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u4_struct_0(A), u4_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), u4_struct_0(C))))) )  => r2_funct_2(u4_struct_0(k1_oppcat_1(B)), u4_struct_0(C), k9_oppcat_1(B, C, k1_partfun1(u4_struct_0(B), u4_struct_0(A), u4_struct_0(A), u4_struct_0(C), D, E)), k1_partfun1(u4_struct_0(k1_oppcat_1(B)), u4_struct_0(A), u4_struct_0(A), u4_struct_0(C), k9_oppcat_1(B, A, D), E))) ) ) ) ) ) ) ) ) ) ).
fof(t53_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u4_struct_0(B), u4_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(B), u4_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u4_struct_0(A), u4_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), u4_struct_0(C))))) )  => r2_funct_2(u4_struct_0(B), u4_struct_0(k1_oppcat_1(C)), k10_oppcat_1(B, C, k1_partfun1(u4_struct_0(B), u4_struct_0(A), u4_struct_0(A), u4_struct_0(C), D, E)), k1_partfun1(u4_struct_0(B), u4_struct_0(A), u4_struct_0(A), u4_struct_0(k1_oppcat_1(C)), D, k10_oppcat_1(A, C, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t54_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u4_struct_0(B), u4_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(B), u4_struct_0(A))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u4_struct_0(A), u4_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), u4_struct_0(C))))) )  => r2_funct_2(u4_struct_0(k1_oppcat_1(B)), u4_struct_0(k1_oppcat_1(C)), k10_oppcat_1(k1_oppcat_1(B), C, k9_oppcat_1(B, C, k1_partfun1(u4_struct_0(B), u4_struct_0(A), u4_struct_0(A), u4_struct_0(C), D, E))), k1_partfun1(u4_struct_0(k1_oppcat_1(B)), u4_struct_0(k1_oppcat_1(A)), u4_struct_0(k1_oppcat_1(A)), u4_struct_0(k1_oppcat_1(C)), k10_oppcat_1(k1_oppcat_1(B), A, k9_oppcat_1(B, A, D)), k10_oppcat_1(k1_oppcat_1(A), C, k9_oppcat_1(A, C, E))))) ) ) ) ) ) ) ) ) ) ).
fof(t55_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_oppcat_1(C, A, B) => m2_cat_1(k9_oppcat_1(A, B, C), k1_oppcat_1(A), B)) ) ) ) ) ) ).
fof(t56_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_oppcat_1(C, A, B) => m2_cat_1(k10_oppcat_1(A, B, C), A, k1_oppcat_1(B))) ) ) ) ) ) ).
fof(t57_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) => m1_oppcat_1(k9_oppcat_1(A, B, C), k1_oppcat_1(A), B)) ) ) ) ) ) ).
fof(t58_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) => m1_oppcat_1(k10_oppcat_1(A, B, C), A, k1_oppcat_1(B))) ) ) ) ) ) ).
fof(t59_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m1_oppcat_1(D, B, A) =>  (! [E] :  (m2_cat_1(E, A, C) => m1_oppcat_1(k1_partfun1(u4_struct_0(B), u4_struct_0(A), u4_struct_0(A), u4_struct_0(C), D, E), B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t60_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_cat_1(C) &  (v3_cat_1(C) &  (v4_cat_1(C) &  (v5_cat_1(C) &  (v6_cat_1(C) & l1_cat_1(C)) ) ) ) ) ) )  =>  (! [D] :  (m2_cat_1(D, B, A) =>  (! [E] :  (m1_oppcat_1(E, A, C) => m1_oppcat_1(k1_partfun1(u4_struct_0(B), u4_struct_0(A), u4_struct_0(A), u4_struct_0(C), D, E), B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t61_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(k1_oppcat_1(A)), u1_struct_0(k1_oppcat_1(B)), k7_cat_1(k1_oppcat_1(A), k1_oppcat_1(B), k10_oppcat_1(k1_oppcat_1(A), B, k9_oppcat_1(A, B, C))), k2_oppcat_1(A, D))=k2_oppcat_1(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), k7_cat_1(A, B, C), D))) ) ) ) ) ) ) ) ).
fof(t62_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_oppcat_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(k1_oppcat_1(A)), u1_struct_0(k1_oppcat_1(B)), k7_cat_1(k1_oppcat_1(A), k1_oppcat_1(B), k10_oppcat_1(k1_oppcat_1(A), B, k9_oppcat_1(A, B, C))), k2_oppcat_1(A, D))=k2_oppcat_1(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), k7_cat_1(A, B, C), D))) ) ) ) ) ) ) ) ).
fof(t63_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m2_cat_1(C, A, B) => m2_cat_1(k10_oppcat_1(k1_oppcat_1(A), B, k9_oppcat_1(A, B, C)), k1_oppcat_1(A), k1_oppcat_1(B))) ) ) ) ) ) ).
fof(t64_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_oppcat_1(C, A, B) => m1_oppcat_1(k10_oppcat_1(k1_oppcat_1(A), B, k9_oppcat_1(A, B, C)), k1_oppcat_1(A), k1_oppcat_1(B))) ) ) ) ) ) ).
fof(d12_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  => k11_oppcat_1(A)=k10_oppcat_1(A, A, k10_cat_1(A))) ) ).
fof(d13_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  => k12_oppcat_1(A)=k9_oppcat_1(A, A, k10_cat_1(A))) ) ).
fof(t65_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) => k3_funct_2(u4_struct_0(A), u4_struct_0(k1_oppcat_1(A)), k11_oppcat_1(A), B)=k4_oppcat_1(A, B)) ) ) ) ).
fof(t66_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(k1_oppcat_1(A)), k7_cat_1(A, k1_oppcat_1(A), k11_oppcat_1(A)), B)=k2_oppcat_1(A, B)) ) ) ) ).
fof(t67_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(k1_oppcat_1(A))) => k3_funct_2(u4_struct_0(k1_oppcat_1(A)), u4_struct_0(A), k12_oppcat_1(A), B)=k5_oppcat_1(A, B)) ) ) ) ).
fof(t68_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_oppcat_1(A))) => k3_funct_2(u1_struct_0(k1_oppcat_1(A)), u1_struct_0(A), k7_cat_1(k1_oppcat_1(A), A, k12_oppcat_1(A)), B)=k3_oppcat_1(A, B)) ) ) ) ).
fof(t69_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u4_struct_0(A), u4_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B))))) )  =>  (r2_funct_2(u4_struct_0(k1_oppcat_1(A)), u4_struct_0(B), k9_oppcat_1(A, B, C), k1_partfun1(u4_struct_0(k1_oppcat_1(A)), u4_struct_0(A), u4_struct_0(A), u4_struct_0(B), k12_oppcat_1(A), C)) & r2_funct_2(u4_struct_0(A), u4_struct_0(k1_oppcat_1(B)), k10_oppcat_1(A, B, C), k1_partfun1(u4_struct_0(A), u4_struct_0(B), u4_struct_0(B), u4_struct_0(k1_oppcat_1(B)), C, k11_oppcat_1(B)))) ) ) ) ) ) ) ).
fof(t70_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (k2_cat_1(A, B, C)=k1_xboole_0)  &  ( ~ (k2_cat_1(A, C, D)=k1_xboole_0)  &  ~ ( (! [E] :  (m1_cat_1(E, A, B, C) =>  (! [F] :  (m1_cat_1(F, A, C, D) => k5_cat_1(A, B, C, D, E, F)=k5_cat_1(k1_oppcat_1(A), k2_oppcat_1(A, D), k2_oppcat_1(A, C), k2_oppcat_1(A, B), k6_oppcat_1(A, C, D, F), k6_oppcat_1(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k4_cat_1(A, B)=k4_cat_1(k1_oppcat_1(A), k2_oppcat_1(A, B))) ) ) ) ).
fof(t72_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_oppcat_1(A))) => k4_cat_1(k1_oppcat_1(A), B)=k4_cat_1(A, k3_oppcat_1(A, B))) ) ) ) ).
fof(dt_k1_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k1_oppcat_1(A)))  &  ( ~ (v11_struct_0(k1_oppcat_1(A)))  &  (v1_cat_1(k1_oppcat_1(A)) & l1_cat_1(k1_oppcat_1(A))) ) ) ) ) ).
fof(dt_k2_oppcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k2_oppcat_1(A, B), u1_struct_0(k1_oppcat_1(A)))) ) ).
fof(dt_k3_oppcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(k1_oppcat_1(A))))  => m1_subset_1(k3_oppcat_1(A, B), u1_struct_0(A))) ) ).
fof(dt_k4_oppcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  & m1_subset_1(B, u4_struct_0(A)))  => m1_subset_1(k4_oppcat_1(A, B), u4_struct_0(k1_oppcat_1(A)))) ) ).
fof(dt_k5_oppcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  & m1_subset_1(B, u4_struct_0(k1_oppcat_1(A))))  => m1_subset_1(k5_oppcat_1(A, B), u4_struct_0(A))) ) ).
fof(dt_k6_oppcat_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) & m1_cat_1(D, A, B, C)) ) )  => m1_cat_1(k6_oppcat_1(A, B, C, D), k1_oppcat_1(A), k2_oppcat_1(A, C), k2_oppcat_1(A, B))) ) ).
fof(dt_k7_oppcat_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_subset_1(C, u1_struct_0(A)) & m1_cat_1(D, k1_oppcat_1(A), k2_oppcat_1(A, B), k2_oppcat_1(A, C))) ) )  => m1_cat_1(k7_oppcat_1(A, B, C, D), A, C, B)) ) ).
fof(dt_k8_oppcat_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u4_struct_0(k1_oppcat_1(A)), u4_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(k1_oppcat_1(A)), u4_struct_0(B))))) ) ) )  =>  (v1_funct_1(k8_oppcat_1(A, B, C)) &  (v1_funct_2(k8_oppcat_1(A, B, C), u4_struct_0(A), u4_struct_0(B)) & m1_subset_1(k8_oppcat_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B))))) ) ) ) ).
fof(dt_m1_oppcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) ) )  =>  (! [C] :  (m1_oppcat_1(C, A, B) =>  (v1_funct_1(C) &  (v1_funct_2(C, u4_struct_0(A), u4_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B))))) ) ) ) ) ) ).
fof(existence_m1_oppcat_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) ) )  =>  (? [C] : m1_oppcat_1(C, A, B)) ) ) ).
fof(dt_k9_oppcat_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u4_struct_0(A), u4_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B))))) ) ) )  =>  (v1_funct_1(k9_oppcat_1(A, B, C)) &  (v1_funct_2(k9_oppcat_1(A, B, C), u4_struct_0(k1_oppcat_1(A)), u4_struct_0(B)) & m1_subset_1(k9_oppcat_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(k1_oppcat_1(A)), u4_struct_0(B))))) ) ) ) ).
fof(dt_k10_oppcat_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) & l1_cat_1(B)) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u4_struct_0(A), u4_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), u4_struct_0(B))))) ) ) )  =>  (v1_funct_1(k10_oppcat_1(A, B, C)) &  (v1_funct_2(k10_oppcat_1(A, B, C), u4_struct_0(A), u4_struct_0(k1_oppcat_1(B))) & m1_subset_1(k10_oppcat_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), u4_struct_0(k1_oppcat_1(B)))))) ) ) ) ).
fof(dt_k11_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  => m1_oppcat_1(k11_oppcat_1(A), A, k1_oppcat_1(A))) ) ).
fof(dt_k12_oppcat_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_cat_1(A) &  (v3_cat_1(A) &  (v4_cat_1(A) &  (v5_cat_1(A) &  (v6_cat_1(A) & l1_cat_1(A)) ) ) ) ) ) )  => m1_oppcat_1(k12_oppcat_1(A), k1_oppcat_1(A), A)) ) ).
fof(fc1_ordeq_01, axiom,  (! [A] : v1_ordeq_01(k1_tarski(k4_tarski(A, A)))) ).
fof(cc1_ordeq_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) =>  ( (v1_funct_1(B) &  (v3_funct_1(B) & v1_funct_2(B, u1_struct_0(A), u1_struct_0(A))) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & v1_nfcont_2(B, A)) ) ) ) ) ) ) ).
fof(cc2_ordeq_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & v1_nfcont_2(B, A)) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & v1_ordeq_01(B)) ) ) ) ) ) ) ).
fof(fc2_ordeq_01, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  ~ (v1_xboole_0(k1_ordeq_01(A, B))) ) ) ).
fof(fc3_ordeq_01, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  => v1_rlsub_1(k1_ordeq_01(A, B), k5_rsspace4(A, B))) ) ).
fof(fc4_ordeq_01, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k2_ordeq_01(A, B)))  &  (v13_algstr_0(k2_ordeq_01(A, B)) &  (v1_rlvect_1(k2_ordeq_01(A, B)) &  (v2_rlvect_1(k2_ordeq_01(A, B)) &  (v3_rlvect_1(k2_ordeq_01(A, B)) &  (v4_rlvect_1(k2_ordeq_01(A, B)) &  (v5_rlvect_1(k2_ordeq_01(A, B)) &  (v6_rlvect_1(k2_ordeq_01(A, B)) &  (v7_rlvect_1(k2_ordeq_01(A, B)) & v8_rlvect_1(k2_ordeq_01(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(fc5_ordeq_01, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k5_ordeq_01(A, B)))  &  (v13_algstr_0(k5_ordeq_01(A, B)) &  (v2_rlvect_1(k5_ordeq_01(A, B)) &  (v3_rlvect_1(k5_ordeq_01(A, B)) &  (v4_rlvect_1(k5_ordeq_01(A, B)) &  (v5_rlvect_1(k5_ordeq_01(A, B)) &  (v6_rlvect_1(k5_ordeq_01(A, B)) &  (v7_rlvect_1(k5_ordeq_01(A, B)) &  (v8_rlvect_1(k5_ordeq_01(A, B)) &  (v3_normsp_0(k5_ordeq_01(A, B)) &  (v4_normsp_0(k5_ordeq_01(A, B)) &  (v1_normsp_1(k5_ordeq_01(A, B)) & v2_normsp_1(k5_ordeq_01(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_ordeq_01, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k9_rsspace4(A, B)))) & v2_nfcont_1(C, k9_rsspace4(A, B))) ) ) ) ).
fof(fc6_ordeq_01, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) &  (v3_lopban_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k5_ordeq_01(A, B)))  &  (v1_normsp_1(k5_ordeq_01(A, B)) & v3_lopban_1(k5_ordeq_01(A, B))) ) ) ) ).
fof(d1_ordeq_01, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_ordeq_01(A) <=>  (? [B] :  (r1_abian(B, A) &  (! [C] :  (r1_abian(C, A) => B=C) ) ) ) ) ) ) ).
fof(t1_ordeq_01, axiom,  (! [A] : r1_abian(A, k1_tarski(k4_tarski(A, A)))) ).
fof(t2_ordeq_01, axiom,  (! [A] :  (! [B] :  (! [C] :  (r1_abian(A, k1_tarski(k4_tarski(B, C))) => A=B) ) ) ) ).
fof(t3_ordeq_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  & r1_xxreal_0(C, k2_normsp_0(A, B))) ) ) )  => B=k4_struct_0(A)) ) ) ) ) ).
fof(t4_ordeq_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  & r1_xxreal_0(D, k2_normsp_0(A, k5_algstr_0(A, B, C)))) ) ) )  => B=C) ) ) ) ) ) ) ).
fof(t5_ordeq_01, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(1, A))  &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(C, k9_complex1(k3_xcmplx_0(B, k2_power(A, D))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_ordeq_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  ( (? [C] :  (v7_ordinal1(C) & v1_nfcont_2(k1_abian(u1_struct_0(A), B, C), A)) )  => v1_ordeq_01(B)) ) ) ) ) ).
fof(t8_ordeq_01, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  ~ ( ( (? [C] :  (m1_subset_1(C, k4_ordinal1) & v1_nfcont_2(k1_abian(u1_struct_0(A), B, C), A)) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, C)=C &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, D)=D => C=D) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_ordeq_01, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_nfcont_3(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B))))) )  =>  (k1_relset_1(k1_numbers, C)=A =>  (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) &  (v1_rsspace4(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) ) ) ) ) ) ) ) ) ).
fof(d2_ordeq_01, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k5_rsspace4(A, B)))) =>  (C=k1_ordeq_01(A, B) <=>  (! [D] :  (r2_tarski(D, C) <=>  (? [E] :  ( (v1_funct_1(E) &  (v1_nfcont_3(E, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B))))) )  &  (D=E & k1_relset_1(k1_numbers, E)=A) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_ordeq_01, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  => k2_ordeq_01(A, B)=g1_rlvect_1(k1_ordeq_01(A, B), k7_rsspace(k5_rsspace4(A, B), k1_ordeq_01(A, B)), k5_rsspace(k5_rsspace4(A, B), k1_ordeq_01(A, B)), k6_rsspace(k5_rsspace4(A, B), k1_ordeq_01(A, B)))) ) ) ) ).
fof(t10_ordeq_01, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_ordeq_01(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_ordeq_01(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_ordeq_01(A, B))) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_nfcont_3(F, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_nfcont_3(G, B) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B))))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_nfcont_3(H, B) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B))))) )  =>  ( (F=C &  (G=D &  (H=E &  (k1_relset_1(k1_numbers, F)=A &  (k1_relset_1(k1_numbers, G)=A & k1_relset_1(k1_numbers, H)=A) ) ) ) )  =>  (E=k3_rlvect_1(k2_ordeq_01(A, B), C, D) <=>  (! [I] :  (m2_subset_1(I, k1_numbers, A) => k7_partfun1(u1_struct_0(B), H, I)=k3_rlvect_1(B, k7_partfun1(u1_struct_0(B), F, I), k7_partfun1(u1_struct_0(B), G, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_ordeq_01, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_ordeq_01(B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_ordeq_01(B, C))) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_nfcont_3(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(C))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_nfcont_3(G, C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(C))))) )  =>  ( (F=D &  (G=E &  (k1_relset_1(k1_numbers, F)=B & k1_relset_1(k1_numbers, G)=B) ) )  =>  (E=k1_rlvect_1(k2_ordeq_01(B, C), D, A) <=>  (! [H] :  (m2_subset_1(H, k1_numbers, B) => k7_partfun1(u1_struct_0(C), G, H)=k1_rlvect_1(C, k7_partfun1(u1_struct_0(C), F, H), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_ordeq_01, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  => k4_struct_0(k2_ordeq_01(A, B))=k8_funcop_1(u1_struct_0(B), A, k4_struct_0(B))) ) ) ) ).
fof(d4_ordeq_01, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  => k3_ordeq_01(A, B)=k2_partfun1(k4_rsspace4(A, B), k1_numbers, k8_rsspace4(A, B), k1_ordeq_01(A, B))) ) ) ) ).
fof(d5_ordeq_01, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (r2_tarski(C, k1_ordeq_01(A, B)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_nfcont_3(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B))))) )  =>  (D=k4_ordeq_01(A, B, C) <=>  (D=C & k1_relset_1(k1_numbers, D)=A) ) ) ) ) ) ) ) ) ) ).
fof(d6_ordeq_01, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  => k5_ordeq_01(A, B)=g1_normsp_1(k1_ordeq_01(A, B), k7_rsspace(k5_rsspace4(A, B), k1_ordeq_01(A, B)), k5_rsspace(k5_rsspace4(A, B), k1_ordeq_01(A, B)), k6_rsspace(k5_rsspace4(A, B), k1_ordeq_01(A, B)), k3_ordeq_01(A, B))) ) ) ) ).
fof(t13_ordeq_01, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_nfcont_3(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B))))) )  =>  (k1_relset_1(k1_numbers, C)=A => r2_relset_1(k1_numbers, u1_struct_0(B), k4_ordeq_01(A, B, C), C)) ) ) ) ) ) ) ).
fof(t14_ordeq_01, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  => k8_funcop_1(u1_struct_0(B), A, k4_struct_0(B))=k4_struct_0(k5_ordeq_01(A, B))) ) ) ) ).
fof(t15_ordeq_01, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_ordeq_01(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_ordeq_01(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_ordeq_01(A, B))) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_nfcont_3(F, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_nfcont_3(G, B) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B))))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_nfcont_3(H, B) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B))))) )  =>  ( (F=C &  (G=D &  (H=E &  (k1_relset_1(k1_numbers, F)=A &  (k1_relset_1(k1_numbers, G)=A & k1_relset_1(k1_numbers, H)=A) ) ) ) )  =>  (E=k1_algstr_0(k5_ordeq_01(A, B), C, D) <=>  (! [I] :  (m2_subset_1(I, k1_numbers, A) => k7_partfun1(u1_struct_0(B), H, I)=k3_rlvect_1(B, k7_partfun1(u1_struct_0(B), F, I), k7_partfun1(u1_struct_0(B), G, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_ordeq_01, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_ordeq_01(B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_ordeq_01(B, C))) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_nfcont_3(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(C))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_nfcont_3(G, C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(C))))) )  =>  ( (F=D &  (G=E &  (k1_relset_1(k1_numbers, F)=B & k1_relset_1(k1_numbers, G)=B) ) )  =>  (E=k1_rlvect_1(k5_ordeq_01(B, C), D, A) <=>  (! [H] :  (m2_subset_1(H, k1_numbers, B) => k7_partfun1(u1_struct_0(C), G, H)=k1_rlvect_1(C, k7_partfun1(u1_struct_0(C), F, H), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_ordeq_01, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_ordeq_01(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_rsspace4(A, B))) =>  (C=D => k2_normsp_0(k5_ordeq_01(A, B), C)=k2_normsp_0(k9_rsspace4(A, B), D)) ) ) ) ) ) ) ) ) ).
fof(t18_ordeq_01, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_ordeq_01(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_ordeq_01(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_rsspace4(A, B))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k9_rsspace4(A, B))) =>  ( (E=C & F=D)  => k1_algstr_0(k5_ordeq_01(A, B), C, D)=k3_rlvect_1(k9_rsspace4(A, B), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_ordeq_01, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_measure5(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_ordeq_01(B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_rsspace4(B, C))) =>  (E=D => k1_rlvect_1(k5_ordeq_01(B, C), D, A)=k1_rlvect_1(k9_rsspace4(B, C), E, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_ordeq_01, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_ordeq_01(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_ordeq_01(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_ordeq_01(A, B))) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_nfcont_3(F, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_nfcont_3(G, B) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B))))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_nfcont_3(H, B) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B))))) )  =>  ( (F=C &  (G=D &  (H=E &  (k1_relset_1(k1_numbers, F)=A &  (k1_relset_1(k1_numbers, G)=A & k1_relset_1(k1_numbers, H)=A) ) ) ) )  =>  (E=k5_algstr_0(k5_ordeq_01(A, B), C, D) <=>  (! [I] :  (m2_subset_1(I, k1_numbers, A) => k7_partfun1(u1_struct_0(B), H, I)=k5_algstr_0(B, k7_partfun1(u1_struct_0(B), F, I), k7_partfun1(u1_struct_0(B), G, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_ordeq_01, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_ordeq_01(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_ordeq_01(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_rsspace4(A, B))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k9_rsspace4(A, B))) =>  ( (E=C & F=D)  => k5_algstr_0(k5_ordeq_01(A, B), C, D)=k5_algstr_0(k9_rsspace4(A, B), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_ordeq_01, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (v2_nfcont_1(k1_ordeq_01(A, B), k9_rsspace4(A, B)) & m1_subset_1(k1_ordeq_01(A, B), k1_zfmisc_1(u1_struct_0(k9_rsspace4(A, B))))) ) ) ) ) ).
fof(t23_ordeq_01, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(k5_ordeq_01(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k5_ordeq_01(A, B)))))) )  =>  ( (v3_lopban_1(B) & v1_rsspace3(C, k5_ordeq_01(A, B)))  => v3_normsp_1(C, k5_ordeq_01(A, B))) ) ) ) ) ) ) ).
fof(t24_ordeq_01, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_ordeq_01(A, B))) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B)))))  =>  (D=C =>  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, A) => r1_xxreal_0(k2_normsp_0(B, k7_partfun1(u1_struct_0(B), D, E)), k2_normsp_0(k5_ordeq_01(A, B), C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_ordeq_01, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_ordeq_01(A, B))) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B)))))  =>  ( (E=D &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, A) => r1_xxreal_0(k2_normsp_0(B, k7_partfun1(u1_struct_0(B), E, F)), C)) ) ) )  => r1_xxreal_0(k2_normsp_0(k5_ordeq_01(A, B), D), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_ordeq_01, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_ordeq_01(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_ordeq_01(A, B))) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B)))))  =>  ( (E=C & F=D)  =>  (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, A) => r1_xxreal_0(k2_normsp_0(B, k5_algstr_0(B, k7_partfun1(u1_struct_0(B), E, G), k7_partfun1(u1_struct_0(B), F, G))), k2_normsp_0(k5_ordeq_01(A, B), k5_algstr_0(k5_ordeq_01(A, B), C, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_ordeq_01, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_ordeq_01(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_ordeq_01(A, B))) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B)))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B)))))  =>  ( (F=D &  (G=E &  (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, A) => r1_xxreal_0(k2_normsp_0(B, k5_algstr_0(B, k7_partfun1(u1_struct_0(B), F, H), k7_partfun1(u1_struct_0(B), G, H))), C)) ) ) ) )  => r1_xxreal_0(k2_normsp_0(k5_ordeq_01(A, B), k5_algstr_0(k5_ordeq_01(A, B), D, E)), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_ordeq_01, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_numbers)) => r2_relset_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_euclid(A), k1_euclid(A), k1_numbers, k2_partfun1(k1_numbers, k1_euclid(A), C, D), k1_pdiff_1(B, A)), k2_partfun1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_euclid(A), k1_euclid(A), k1_numbers, C, k1_pdiff_1(B, A)), D))) ) ) ) ) ) ) ) ).
fof(t29_ordeq_01, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_nfcont_4(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A))))) )  =>  (k1_relset_1(k1_numbers, D)=k3_integra5(B, C) => v3_integr15(k2_partfun1(k1_numbers, k1_euclid(A), D, k3_integra5(B, C)), A)) ) ) ) ) ) ) ) ) ).
fof(t30_ordeq_01, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_nfcont_4(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A))))) )  =>  (k1_relset_1(k1_numbers, D)=k3_integra5(B, C) => r1_integr15(A, k3_integra5(B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t31_ordeq_01, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)))))  =>  ( (r1_xxreal_0(B, C) &  (k1_relset_1(k1_numbers, D)=k3_integra5(B, C) &  (k1_relset_1(k1_numbers, E)=k3_integra5(B, C) &  (v1_nfcont_4(D, A) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, k1_rcomp_1(B, C)) => k1_funct_1(E, F)=k12_integr15(B, F, A, D)) ) ) ) ) ) )  =>  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, k1_rcomp_1(B, C)) => r1_nfcont_4(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_ordeq_01, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_nfcont_3(D, k4_real_ns1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A)))))) )  =>  (k1_relset_1(k1_numbers, D)=k3_integra5(B, C) => v1_integr19(k2_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(A)), D, k3_integra5(B, C)), k4_real_ns1(A), k1_numbers)) ) ) ) ) ) ) ) ) ).
fof(t33_ordeq_01, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_nfcont_3(D, k4_real_ns1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A)))))) )  =>  (k1_relset_1(k1_numbers, D)=k3_integra5(B, C) => r1_integr18(k4_real_ns1(A), k3_integra5(B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t34_ordeq_01, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_nfcont_3(D, k4_real_ns1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A)))))) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  ( (r1_xxreal_0(B, C) &  (k1_relset_1(k1_numbers, D)=k3_integra5(B, C) &  (k1_relset_1(k1_numbers, E)=k3_integra5(B, C) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, k1_rcomp_1(B, C)) => k1_funct_1(E, F)=k6_integr18(k4_real_ns1(A), D, B, F)) ) ) ) ) )  =>  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, k1_rcomp_1(B, C)) => r1_nfcont_3(k4_real_ns1(A), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_ordeq_01, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v1_partfun1(A, k1_numbers) =>  (v2_fdiff_1(A) <=>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (D=k5_numbers)  &  ( ~ (r1_xxreal_0(C, k9_complex1(D)))  & r1_xxreal_0(B, k3_xcmplx_0(k5_xcmplx_0(k9_complex1(D)), k9_complex1(k7_partfun1(k1_numbers, A, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_ordeq_01, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k4_real_ns1(A))) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_nfcont_3(F, k4_real_ns1(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A)))))) )  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  ( (r1_xxreal_0(B, C) &  (k1_relset_1(k1_numbers, F)=k3_integra5(B, C) &  (k1_relset_1(k1_numbers, G)=k3_integra5(B, C) &  (D=k2_rcomp_1(B, C) &  (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, k3_integra5(B, C)) => k1_funct_1(G, H)=k3_rlvect_1(k4_real_ns1(A), E, k6_integr18(k4_real_ns1(A), F, B, H))) ) ) ) ) ) )  =>  (v1_nfcont_3(G, k4_real_ns1(A)) &  (k7_partfun1(u1_struct_0(k4_real_ns1(A)), G, B)=E &  (r2_ndiff_3(k4_real_ns1(A), G, D) &  (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, D) => k1_ndiff_3(k4_real_ns1(A), G, H)=k7_partfun1(u1_struct_0(k4_real_ns1(A)), F, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_ordeq_01, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k4_real_ns1(A))) => k1_funct_1(k1_pdiff_1(B, A), k3_rlvect_1(k4_real_ns1(A), C, D))=k2_xcmplx_0(k1_funct_1(k1_pdiff_1(B, A), C), k1_funct_1(k1_pdiff_1(B, A), D))) ) ) ) ) ) ) ) ).
fof(t38_ordeq_01, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(A))) =>  (! [D] :  (v1_xreal_0(D) => k1_funct_1(k1_pdiff_1(B, A), k1_rlvect_1(k4_real_ns1(A), C, D))=k3_xcmplx_0(D, k1_funct_1(k1_pdiff_1(B, A), C))) ) ) ) ) ) ) ) ).
fof(t39_ordeq_01, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, A) & r1_ndiff_3(k4_real_ns1(A), B, C)) )  =>  (r1_fdiff_1(k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(A)), k1_euclid(A), k1_numbers, B, k1_pdiff_1(D, A)), C) & k1_funct_1(k1_pdiff_1(D, A), k1_ndiff_3(k4_real_ns1(A), B, C))=k1_fdiff_1(k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(A)), k1_euclid(A), k1_numbers, B, k1_pdiff_1(D, A)), C)) ) ) ) ) ) ) ) ) ) ).
fof(t40_ordeq_01, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  (! [C] :  ( (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, A))  => v3_funct_1(k2_partfun1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(A)), k1_euclid(A), k1_numbers, B, k1_pdiff_1(D, A)), C))) ) )  => v3_funct_1(k2_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(A)), B, C))) ) ) ) ) ) ).
fof(t41_ordeq_01, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  ( (r1_tarski(k2_rcomp_1(B, C), k1_relset_1(k1_numbers, D)) &  (r2_ndiff_3(k4_real_ns1(A), D, k2_rcomp_1(B, C)) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k2_rcomp_1(B, C)) => k1_ndiff_3(k4_real_ns1(A), D, E)=k4_struct_0(k4_real_ns1(A))) ) ) ) )  => v3_funct_1(k2_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(A)), D, k2_rcomp_1(B, C)))) ) ) ) ) ) ) ) ) ).
fof(t42_ordeq_01, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_nfcont_3(D, k4_real_ns1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A)))))) )  =>  ( (k1_rcomp_1(B, C)=k1_relset_1(k1_numbers, D) & v3_funct_1(k2_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(A)), D, k2_rcomp_1(B, C))))  =>  (r1_xxreal_0(C, B) |  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k1_rcomp_1(B, C)) => k1_funct_1(D, E)=k1_funct_1(D, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_ordeq_01, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k4_real_ns1(A))) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_nfcont_3(F, k4_real_ns1(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A)))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_nfcont_3(G, k4_real_ns1(A)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A)))))) )  =>  (! [H] :  ( (v1_funct_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  ( (D=k2_rcomp_1(B, C) &  (k1_relset_1(k1_numbers, F)=k3_integra5(B, C) &  (k1_relset_1(k1_numbers, H)=k3_integra5(B, C) &  (k1_relset_1(k1_numbers, G)=k3_integra5(B, C) &  (r2_ndiff_3(k4_real_ns1(A), F, D) &  (k7_partfun1(u1_struct_0(k4_real_ns1(A)), F, B)=E &  ( (! [I] :  (v1_xreal_0(I) =>  (r2_hidden(I, D) => k1_ndiff_3(k4_real_ns1(A), F, I)=k7_partfun1(u1_struct_0(k4_real_ns1(A)), G, I)) ) )  &  (! [I] :  (v1_xreal_0(I) =>  (r2_hidden(I, k3_integra5(B, C)) => k1_funct_1(H, I)=k3_rlvect_1(k4_real_ns1(A), E, k6_integr18(k4_real_ns1(A), G, B, I))) ) ) ) ) ) ) ) ) )  =>  (r1_xxreal_0(C, B) | r2_relset_1(k1_numbers, u1_struct_0(k4_real_ns1(A)), F, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_ordeq_01, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  ( (r1_xxreal_0(B, C) &  (r1_integr18(k4_real_ns1(A), k3_integra5(B, C), F) &  (r1_integra5(k3_integra5(B, C), k4_normsp_0(k1_numbers, k4_real_ns1(A), F)) &  (v1_integr19(k2_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(A)), F, k3_integra5(B, C)), k4_real_ns1(A), k1_numbers) &  (r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, F)) &  (r2_hidden(D, k3_integra5(B, C)) & r2_hidden(E, k3_integra5(B, C))) ) ) ) ) )  =>  (r1_integra5(k3_integra5(k3_xxreal_0(D, E), k4_xxreal_0(D, E)), k4_normsp_0(k1_numbers, k4_real_ns1(A), F)) &  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, k4_normsp_0(k1_numbers, k4_real_ns1(A), F), k3_integra5(k3_xxreal_0(D, E), k4_xxreal_0(D, E)))) & r1_xxreal_0(k2_normsp_0(k4_real_ns1(A), k6_integr18(k4_real_ns1(A), F, D, E)), k4_integra5(k3_xxreal_0(D, E), k4_xxreal_0(D, E), k4_normsp_0(k1_numbers, k4_real_ns1(A), F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_ordeq_01, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A))))))  =>  ( (r1_xxreal_0(B, C) &  (r1_xxreal_0(D, E) &  (r1_integr18(k4_real_ns1(A), k3_integra5(B, C), G) &  (r1_integra5(k3_integra5(B, C), k4_normsp_0(k1_numbers, k4_real_ns1(A), G)) &  (v1_integr19(k2_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(A)), G, k3_integra5(B, C)), k4_real_ns1(A), k1_numbers) &  (r1_tarski(k3_integra5(B, C), k1_relset_1(k1_numbers, G)) &  (r2_hidden(D, k3_integra5(B, C)) &  (r2_hidden(E, k3_integra5(B, C)) &  (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, k3_integra5(D, E)) => r1_xxreal_0(k2_normsp_0(k4_real_ns1(A), k7_partfun1(u1_struct_0(k4_real_ns1(A)), G, H)), F)) ) ) ) ) ) ) ) ) ) )  =>  (r1_xxreal_0(k2_normsp_0(k4_real_ns1(A), k6_integr18(k4_real_ns1(A), G, D, E)), k3_xcmplx_0(F, k6_xcmplx_0(E, D))) & r1_xxreal_0(k2_normsp_0(k4_real_ns1(A), k6_integr18(k4_real_ns1(A), G, E, D)), k3_xcmplx_0(F, k6_xcmplx_0(E, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_ordeq_01, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k1_newton(k6_xcmplx_0(D, A), k2_xcmplx_0(B, 1))) )  =>  (! [D] :  (v1_xreal_0(D) =>  (r1_fdiff_1(C, D) & k1_fdiff_1(C, D)=k3_xcmplx_0(k2_xcmplx_0(B, 1), k1_newton(k6_xcmplx_0(D, A), B))) ) ) ) ) ) ) ) ) ) ).
fof(t47_ordeq_01, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (! [D] :  (v1_xreal_0(D) => k1_funct_1(C, D)=k7_xcmplx_0(k1_newton(k6_xcmplx_0(D, A), k2_xcmplx_0(B, 1)), k2_newton(k2_xcmplx_0(B, 1)))) )  =>  (! [D] :  (v1_xreal_0(D) =>  (r1_fdiff_1(C, D) & k1_fdiff_1(C, D)=k7_xcmplx_0(k1_newton(k6_xcmplx_0(D, A), B), k2_newton(B))) ) ) ) ) ) ) ) ) ) ).
fof(t48_ordeq_01, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_xxreal_0(A, B) &  (r1_tarski(k3_integra5(A, B), k1_relset_1(k1_numbers, C)) &  (r1_integra5(k3_integra5(A, B), C) &  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, C, k3_integra5(A, B))) &  (r1_tarski(k3_integra5(A, B), k1_relset_1(k1_numbers, D)) &  (r1_integra5(k3_integra5(A, B), D) &  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, D, k3_integra5(A, B))) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k3_integra5(A, B)) => r1_xxreal_0(k1_funct_1(C, E), k1_funct_1(D, E))) ) ) ) ) ) ) ) ) )  => r1_xxreal_0(k4_integra5(A, B, C), k4_integra5(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(d7_ordeq_01, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_real_ns1(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)))))) )  =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ( (r1_xxreal_0(D, E) & r3_nfcont_1(k4_real_ns1(A), k4_real_ns1(A), C, k1_relset_1(u1_struct_0(k4_real_ns1(A)), C)))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_ordeq_01(k3_integra5(D, E), k4_real_ns1(A))), u1_struct_0(k5_ordeq_01(k3_integra5(D, E), k4_real_ns1(A)))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_ordeq_01(k3_integra5(D, E), k4_real_ns1(A))), u1_struct_0(k5_ordeq_01(k3_integra5(D, E), k4_real_ns1(A))))))) )  =>  (F=k6_ordeq_01(A, B, C, D, E) <=>  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_ordeq_01(k3_integra5(D, E), k4_real_ns1(A)))) =>  (? [H] :  ( (v1_funct_1(H) &  (v1_nfcont_3(H, k4_real_ns1(A)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A)))))) )  &  (? [I] :  ( (v1_funct_1(I) &  (v1_nfcont_3(I, k4_real_ns1(A)) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A)))))) )  &  (? [J] :  ( (v1_funct_1(J) &  (v1_nfcont_3(J, k4_real_ns1(A)) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A)))))) )  &  (G=H &  (k3_funct_2(u1_struct_0(k5_ordeq_01(k3_integra5(D, E), k4_real_ns1(A))), u1_struct_0(k5_ordeq_01(k3_integra5(D, E), k4_real_ns1(A))), F, G)=I &  (k1_relset_1(k1_numbers, H)=k3_integra5(D, E) &  (k1_relset_1(k1_numbers, I)=k3_integra5(D, E) &  (r2_relset_1(k1_numbers, u1_struct_0(k4_real_ns1(A)), J, k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), H, C)) &  (! [K] :  (v1_xreal_0(K) =>  (r2_hidden(K, k3_integra5(D, E)) => k1_funct_1(I, K)=k3_rlvect_1(k4_real_ns1(A), B, k6_integr18(k4_real_ns1(A), J, D, K))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_ordeq_01, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k4_real_ns1(A))) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)))))) )  =>  ( (r1_xxreal_0(B, C) &  (! [G] :  (m1_subset_1(G, u1_struct_0(k4_real_ns1(A))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k4_real_ns1(A))) => r1_xxreal_0(k2_normsp_0(k4_real_ns1(A), k5_algstr_0(k4_real_ns1(A), k10_funct_2(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), F, G), k10_funct_2(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), F, H))), k3_xcmplx_0(D, k2_normsp_0(k4_real_ns1(A), k5_algstr_0(k4_real_ns1(A), G, H))))) ) ) ) )  =>  (r1_xxreal_0(D, k5_numbers) |  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_ordeq_01(k3_integra5(B, C), k4_real_ns1(A)))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k5_ordeq_01(k3_integra5(B, C), k4_real_ns1(A)))) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_nfcont_3(I, k4_real_ns1(A)) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A)))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_nfcont_3(J, k4_real_ns1(A)) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A)))))) )  =>  ( (I=k3_funct_2(u1_struct_0(k5_ordeq_01(k3_integra5(B, C), k4_real_ns1(A))), u1_struct_0(k5_ordeq_01(k3_integra5(B, C), k4_real_ns1(A))), k6_ordeq_01(A, E, F, B, C), G) & J=k3_funct_2(u1_struct_0(k5_ordeq_01(k3_integra5(B, C), k4_real_ns1(A))), u1_struct_0(k5_ordeq_01(k3_integra5(B, C), k4_real_ns1(A))), k6_ordeq_01(A, E, F, B, C), H))  =>  (! [K] :  (v1_xreal_0(K) =>  (r2_hidden(K, k3_integra5(B, C)) => r1_xxreal_0(k2_normsp_0(k4_real_ns1(A), k5_algstr_0(k4_real_ns1(A), k7_partfun1(u1_struct_0(k4_real_ns1(A)), I, K), k7_partfun1(u1_struct_0(k4_real_ns1(A)), J, K))), k3_xcmplx_0(k3_xcmplx_0(D, k6_xcmplx_0(K, B)), k2_normsp_0(k5_ordeq_01(k3_integra5(B, C), k4_real_ns1(A)), k5_algstr_0(k5_ordeq_01(k3_integra5(B, C), k4_real_ns1(A)), G, H))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_ordeq_01, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k4_real_ns1(A))) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)))))) )  =>  ( (r1_xxreal_0(B, C) &  (! [G] :  (m1_subset_1(G, u1_struct_0(k4_real_ns1(A))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k4_real_ns1(A))) => r1_xxreal_0(k2_normsp_0(k4_real_ns1(A), k5_algstr_0(k4_real_ns1(A), k10_funct_2(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), F, G), k10_funct_2(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), F, H))), k3_xcmplx_0(D, k2_normsp_0(k4_real_ns1(A), k5_algstr_0(k4_real_ns1(A), G, H))))) ) ) ) )  =>  (r1_xxreal_0(D, k5_numbers) |  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_ordeq_01(k3_integra5(B, C), k4_real_ns1(A)))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k5_ordeq_01(k3_integra5(B, C), k4_real_ns1(A)))) =>  (! [I] :  (m1_subset_1(I, k4_ordinal1) =>  (! [J] :  ( (v1_funct_1(J) &  (v1_nfcont_3(J, k4_real_ns1(A)) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A)))))) )  =>  (! [K] :  ( (v1_funct_1(K) &  (v1_nfcont_3(K, k4_real_ns1(A)) & m1_subset_1(K, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A)))))) )  =>  ( (J=k3_funct_2(u1_struct_0(k5_ordeq_01(k3_integra5(B, C), k4_real_ns1(A))), u1_struct_0(k5_ordeq_01(k3_integra5(B, C), k4_real_ns1(A))), k1_abian(u1_struct_0(k5_ordeq_01(k3_integra5(B, C), k4_real_ns1(A))), k6_ordeq_01(A, E, F, B, C), k2_xcmplx_0(I, 1)), G) & K=k3_funct_2(u1_struct_0(k5_ordeq_01(k3_integra5(B, C), k4_real_ns1(A))), u1_struct_0(k5_ordeq_01(k3_integra5(B, C), k4_real_ns1(A))), k1_abian(u1_struct_0(k5_ordeq_01(k3_integra5(B, C), k4_real_ns1(A))), k6_ordeq_01(A, E, F, B, C), k2_xcmplx_0(I, 1)), H))  =>  (! [L] :  (v1_xreal_0(L) =>  (r2_hidden(L, k3_integra5(B, C)) => r1_xxreal_0(k2_normsp_0(k4_real_ns1(A), k5_algstr_0(k4_real_ns1(A), k7_partfun1(u1_struct_0(k4_real_ns1(A)), J, L), k7_partfun1(u1_struct_0(k4_real_ns1(A)), K, L))), k3_xcmplx_0(k7_xcmplx_0(k1_newton(k3_xcmplx_0(D, k6_xcmplx_0(L, B)), k2_xcmplx_0(I, 1)), k2_newton(k2_xcmplx_0(I, 1))), k2_normsp_0(k5_ordeq_01(k3_integra5(B, C), k4_real_ns1(A)), k5_algstr_0(k5_ordeq_01(k3_integra5(B, C), k4_real_ns1(A)), G, H))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_ordeq_01, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k4_real_ns1(A))) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)))))) )  =>  (! [G] :  (v7_ordinal1(G) =>  ( (r1_xxreal_0(B, C) &  (! [H] :  (m1_subset_1(H, u1_struct_0(k4_real_ns1(A))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k4_real_ns1(A))) => r1_xxreal_0(k2_normsp_0(k4_real_ns1(A), k5_algstr_0(k4_real_ns1(A), k10_funct_2(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), F, H), k10_funct_2(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), F, I))), k3_xcmplx_0(D, k2_normsp_0(k4_real_ns1(A), k5_algstr_0(k4_real_ns1(A), H, I))))) ) ) ) )  =>  (r1_xxreal_0(D, k5_numbers) |  (! [H] :  (m1_subset_1(H, u1_struct_0(k5_ordeq_01(k3_integra5(B, C), k4_real_ns1(A)))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k5_ordeq_01(k3_integra5(B, C), k4_real_ns1(A)))) => r1_xxreal_0(k2_normsp_0(k5_ordeq_01(k3_integra5(B, C), k4_real_ns1(A)), k5_algstr_0(k5_ordeq_01(k3_integra5(B, C), k4_real_ns1(A)), k3_funct_2(u1_struct_0(k5_ordeq_01(k3_integra5(B, C), k4_real_ns1(A))), u1_struct_0(k5_ordeq_01(k3_integra5(B, C), k4_real_ns1(A))), k1_abian(u1_struct_0(k5_ordeq_01(k3_integra5(B, C), k4_real_ns1(A))), k6_ordeq_01(A, E, F, B, C), k2_xcmplx_0(G, 1)), H), k3_funct_2(u1_struct_0(k5_ordeq_01(k3_integra5(B, C), k4_real_ns1(A))), u1_struct_0(k5_ordeq_01(k3_integra5(B, C), k4_real_ns1(A))), k1_abian(u1_struct_0(k5_ordeq_01(k3_integra5(B, C), k4_real_ns1(A))), k6_ordeq_01(A, E, F, B, C), k2_xcmplx_0(G, 1)), I))), k3_xcmplx_0(k7_xcmplx_0(k1_newton(k3_xcmplx_0(D, k6_xcmplx_0(C, B)), k2_xcmplx_0(G, 1)), k2_newton(k2_xcmplx_0(G, 1))), k2_normsp_0(k5_ordeq_01(k3_integra5(B, C), k4_real_ns1(A)), k5_algstr_0(k5_ordeq_01(k3_integra5(B, C), k4_real_ns1(A)), H, I))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_ordeq_01, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k4_real_ns1(A))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)))))) )  =>  ~ ( ( ~ (r1_xxreal_0(C, B))  &  (r5_nfcont_1(k4_real_ns1(A), k4_real_ns1(A), u1_struct_0(k4_real_ns1(A)), E) &  (! [F] :  (v7_ordinal1(F) =>  ~ (v1_nfcont_2(k1_abian(u1_struct_0(k5_ordeq_01(k3_integra5(B, C), k4_real_ns1(A))), k6_ordeq_01(A, D, E, B, C), k2_xcmplx_0(F, 1)), k5_ordeq_01(k3_integra5(B, C), k4_real_ns1(A)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_ordeq_01, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k4_real_ns1(A))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)))))) )  =>  (r5_nfcont_1(k4_real_ns1(A), k4_real_ns1(A), u1_struct_0(k4_real_ns1(A)), E) =>  (r1_xxreal_0(C, B) | v1_ordeq_01(k6_ordeq_01(A, D, E, B, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_ordeq_01, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k4_real_ns1(A))) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_nfcont_3(G, k4_real_ns1(A)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A)))))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_nfcont_3(H, k4_real_ns1(A)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A)))))) )  =>  ( (k1_relset_1(k1_numbers, G)=k3_integra5(B, C) &  (k1_relset_1(k1_numbers, H)=k3_integra5(B, C) &  (D=k2_rcomp_1(B, C) &  (r5_nfcont_1(k4_real_ns1(A), k4_real_ns1(A), u1_struct_0(k4_real_ns1(A)), F) & H=k1_funct_1(k6_ordeq_01(A, E, F, B, C), G)) ) ) )  =>  (r1_xxreal_0(C, B) |  (k7_partfun1(u1_struct_0(k4_real_ns1(A)), H, B)=E &  (r2_ndiff_3(k4_real_ns1(A), H, D) &  (! [I] :  (v1_xreal_0(I) =>  (r2_hidden(I, D) => k1_ndiff_3(k4_real_ns1(A), H, I)=k7_partfun1(u1_struct_0(k4_real_ns1(A)), k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), G, F), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_ordeq_01, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k4_real_ns1(A))) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_nfcont_3(G, k4_real_ns1(A)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A)))))) )  =>  ( (D=k2_rcomp_1(B, C) &  (r5_nfcont_1(k4_real_ns1(A), k4_real_ns1(A), u1_struct_0(k4_real_ns1(A)), F) &  (k1_relset_1(k1_numbers, G)=k3_integra5(B, C) &  (r2_ndiff_3(k4_real_ns1(A), G, D) &  (k7_partfun1(u1_struct_0(k4_real_ns1(A)), G, B)=E &  (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, D) => k1_ndiff_3(k4_real_ns1(A), G, H)=k3_funct_2(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), F, k7_partfun1(u1_struct_0(k4_real_ns1(A)), G, H))) ) ) ) ) ) ) )  =>  (r1_xxreal_0(C, B) | r1_abian(G, k6_ordeq_01(A, E, F, B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_ordeq_01, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k4_real_ns1(A))) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_nfcont_3(G, k4_real_ns1(A)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A)))))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_nfcont_3(H, k4_real_ns1(A)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A)))))) )  =>  ( (D=k2_rcomp_1(B, C) &  (r5_nfcont_1(k4_real_ns1(A), k4_real_ns1(A), u1_struct_0(k4_real_ns1(A)), F) &  (k1_relset_1(k1_numbers, G)=k3_integra5(B, C) &  (r2_ndiff_3(k4_real_ns1(A), G, D) &  (k7_partfun1(u1_struct_0(k4_real_ns1(A)), G, B)=E &  ( (! [I] :  (v1_xreal_0(I) =>  (r2_hidden(I, D) => k1_ndiff_3(k4_real_ns1(A), G, I)=k3_funct_2(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), F, k7_partfun1(u1_struct_0(k4_real_ns1(A)), G, I))) ) )  &  (k1_relset_1(k1_numbers, H)=k3_integra5(B, C) &  (r2_ndiff_3(k4_real_ns1(A), H, D) &  (k7_partfun1(u1_struct_0(k4_real_ns1(A)), H, B)=E &  (! [I] :  (v1_xreal_0(I) =>  (r2_hidden(I, D) => k1_ndiff_3(k4_real_ns1(A), H, I)=k3_funct_2(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), F, k7_partfun1(u1_struct_0(k4_real_ns1(A)), H, I))) ) ) ) ) ) ) ) ) ) ) )  =>  (r1_xxreal_0(C, B) | r2_relset_1(k1_numbers, u1_struct_0(k4_real_ns1(A)), G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_ordeq_01, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v3_rcomp_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_numbers)))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k4_real_ns1(A))) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)))))) )  =>  ~ ( ( ~ (r1_xxreal_0(C, B))  &  (D=k2_rcomp_1(B, C) &  (r5_nfcont_1(k4_real_ns1(A), k4_real_ns1(A), u1_struct_0(k4_real_ns1(A)), F) &  (! [G] :  ( (v1_funct_1(G) &  (v1_nfcont_3(G, k4_real_ns1(A)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(A)))))) )  =>  ~ ( (k1_relset_1(k1_numbers, G)=k3_integra5(B, C) &  (r2_ndiff_3(k4_real_ns1(A), G, D) &  (k7_partfun1(u1_struct_0(k4_real_ns1(A)), G, B)=E &  (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, D) => k1_ndiff_3(k4_real_ns1(A), G, H)=k3_funct_2(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), F, k7_partfun1(u1_struct_0(k4_real_ns1(A)), G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_ordeq_01, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  => m1_subset_1(k1_ordeq_01(A, B), k1_zfmisc_1(u1_struct_0(k5_rsspace4(A, B))))) ) ).
fof(dt_k2_ordeq_01, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k2_ordeq_01(A, B)))  &  (v13_algstr_0(k2_ordeq_01(A, B)) &  (v1_rlvect_1(k2_ordeq_01(A, B)) &  (v2_rlvect_1(k2_ordeq_01(A, B)) &  (v3_rlvect_1(k2_ordeq_01(A, B)) &  (v4_rlvect_1(k2_ordeq_01(A, B)) &  (v5_rlvect_1(k2_ordeq_01(A, B)) &  (v6_rlvect_1(k2_ordeq_01(A, B)) &  (v7_rlvect_1(k2_ordeq_01(A, B)) &  (v8_rlvect_1(k2_ordeq_01(A, B)) & l1_rlvect_1(k2_ordeq_01(A, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k3_ordeq_01, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k3_ordeq_01(A, B)) &  (v1_funct_2(k3_ordeq_01(A, B), k1_ordeq_01(A, B), k1_numbers) & m1_subset_1(k3_ordeq_01(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_ordeq_01(A, B), k1_numbers)))) ) ) ) ).
fof(dt_k4_ordeq_01, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k4_ordeq_01(A, B, C)) &  (v1_nfcont_3(k4_ordeq_01(A, B, C), B) & m1_subset_1(k4_ordeq_01(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(B))))) ) ) ) ).
fof(dt_k5_ordeq_01, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k5_ordeq_01(A, B)))  &  (v1_normsp_1(k5_ordeq_01(A, B)) & l1_normsp_1(k5_ordeq_01(A, B))) ) ) ) ).
fof(dt_k6_ordeq_01, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  &  (m1_subset_1(B, u1_struct_0(k4_real_ns1(A))) &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)))))) )  &  (v1_xreal_0(D) & v1_xreal_0(E)) ) ) )  =>  (v1_funct_1(k6_ordeq_01(A, B, C, D, E)) &  (v1_funct_2(k6_ordeq_01(A, B, C, D, E), u1_struct_0(k5_ordeq_01(k3_integra5(D, E), k4_real_ns1(A))), u1_struct_0(k5_ordeq_01(k3_integra5(D, E), k4_real_ns1(A)))) & m1_subset_1(k6_ordeq_01(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_ordeq_01(k3_integra5(D, E), k4_real_ns1(A))), u1_struct_0(k5_ordeq_01(k3_integra5(D, E), k4_real_ns1(A))))))) ) ) ) ).
fof(t1_ordeq_02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k4_real_ns1(1)), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)), k1_numbers)))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(1))) =>  (! [D] :  (m1_subset_1(D, k1_numbers) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(A)))))  =>  ( (r1_funct_2(u1_struct_0(k4_real_ns1(1)), k1_numbers, k1_euclid(1), k1_numbers, B, k1_pdiff_1(1, 1)) &  (r2_tarski(C, k1_relset_1(u1_struct_0(k4_real_ns1(1)), F)) &  (r2_tarski(D, k1_relset_1(k1_numbers, E)) &  (C=k12_finseq_1(k1_numbers, D) & r2_relset_1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(A), F, k1_partfun1(u1_struct_0(k4_real_ns1(1)), k1_numbers, k1_numbers, u1_struct_0(A), B, E))) ) ) )  =>  (r1_nfcont_1(k4_real_ns1(1), A, F, C) <=> r1_nfcont_3(A, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_ordeq_02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_numbers, u1_struct_0(k4_real_ns1(1))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(1)))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(1))) =>  (! [D] :  (m1_subset_1(D, k1_numbers) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(A)))))  =>  ( (B=k2_funct_1(k1_pdiff_1(1, 1)) &  (r2_tarski(C, k1_relset_1(u1_struct_0(k4_real_ns1(1)), F)) &  (r2_tarski(D, k1_relset_1(k1_numbers, E)) &  (C=k12_finseq_1(k1_numbers, D) & r2_relset_1(k1_numbers, u1_struct_0(A), k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(1)), u1_struct_0(A), B, F), E)) ) ) )  =>  (r1_nfcont_1(k4_real_ns1(1), A, F, C) <=> r1_nfcont_3(A, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_ordeq_02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_numbers, u1_struct_0(k4_real_ns1(1))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(1)))))) )  =>  (B=k2_funct_1(k1_pdiff_1(1, 1)) =>  ( (! [C] :  ( (v1_funct_1(C) &  (v2_ndiff_1(C, k4_real_ns1(1), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(A))))) )  =>  (v1_funct_1(k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(1)), u1_struct_0(A), B, C)) &  (v1_ndiff_3(k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(1)), u1_struct_0(A), B, C), A) & m1_subset_1(k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(1)), u1_struct_0(A), B, C), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) ) ) )  &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k4_real_ns1(1)), u1_struct_0(A)) &  (v13_vectsp_1(C, k4_real_ns1(1), A) &  (v1_lopban_1(C, k4_real_ns1(1), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(A))))) ) ) )  =>  (v1_funct_1(k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(1)), u1_struct_0(A), B, C)) &  (v1_funct_2(k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(1)), u1_struct_0(A), B, C), k1_numbers, u1_struct_0(A)) &  (v2_ndiff_3(k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(1)), u1_struct_0(A), B, C), A) & m1_subset_1(k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(1)), u1_struct_0(A), B, C), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_ordeq_02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k4_real_ns1(1)), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)), k1_numbers)))) )  =>  (r1_funct_2(u1_struct_0(k4_real_ns1(1)), k1_numbers, k1_euclid(1), k1_numbers, B, k1_pdiff_1(1, 1)) =>  ( (! [C] :  ( (v1_funct_1(C) &  (v1_ndiff_3(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  =>  (v1_funct_1(k1_partfun1(u1_struct_0(k4_real_ns1(1)), k1_numbers, k1_numbers, u1_struct_0(A), B, C)) &  (v2_ndiff_1(k1_partfun1(u1_struct_0(k4_real_ns1(1)), k1_numbers, k1_numbers, u1_struct_0(A), B, C), k4_real_ns1(1), A) & m1_subset_1(k1_partfun1(u1_struct_0(k4_real_ns1(1)), k1_numbers, k1_numbers, u1_struct_0(A), B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(A))))) ) ) )  &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_numbers, u1_struct_0(A)) &  (v2_ndiff_3(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) ) )  =>  (v1_funct_1(k1_partfun1(u1_struct_0(k4_real_ns1(1)), k1_numbers, k1_numbers, u1_struct_0(A), B, C)) &  (v1_funct_2(k1_partfun1(u1_struct_0(k4_real_ns1(1)), k1_numbers, k1_numbers, u1_struct_0(A), B, C), u1_struct_0(k4_real_ns1(1)), u1_struct_0(A)) &  (v13_vectsp_1(k1_partfun1(u1_struct_0(k4_real_ns1(1)), k1_numbers, k1_numbers, u1_struct_0(A), B, C), k4_real_ns1(1), A) &  (v1_lopban_1(k1_partfun1(u1_struct_0(k4_real_ns1(1)), k1_numbers, k1_numbers, u1_struct_0(A), B, C), k4_real_ns1(1), A) &  (v2_lopban_1(k1_partfun1(u1_struct_0(k4_real_ns1(1)), k1_numbers, k1_numbers, u1_struct_0(A), B, C), k4_real_ns1(1), A) & m1_subset_1(k1_partfun1(u1_struct_0(k4_real_ns1(1)), k1_numbers, k1_numbers, u1_struct_0(A), B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(A))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_ordeq_02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_numbers, u1_struct_0(k4_real_ns1(1))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(1)))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(1))) =>  (! [D] :  (m1_subset_1(D, k1_numbers) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(A)))))  =>  ( (B=k2_funct_1(k1_pdiff_1(1, 1)) &  (r2_tarski(C, k1_relset_1(u1_struct_0(k4_real_ns1(1)), F)) &  (r2_tarski(D, k1_relset_1(k1_numbers, E)) &  (C=k12_finseq_1(k1_numbers, D) &  (r2_relset_1(k1_numbers, u1_struct_0(A), k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(1)), u1_struct_0(A), B, F), E) & r1_ndiff_1(k4_real_ns1(1), A, F, C)) ) ) ) )  =>  (r1_ndiff_3(A, E, D) &  (k1_ndiff_3(A, E, D)=k1_funct_1(k3_ndiff_1(k4_real_ns1(1), A, F, C), k12_finseq_1(k4_ordinal1, 1)) &  (! [G] :  (m1_subset_1(G, k1_numbers) => k1_funct_1(k3_ndiff_1(k4_real_ns1(1), A, F, C), k12_finseq_1(k1_numbers, G))=k1_rlvect_1(A, k1_ndiff_3(A, E, D), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_ordeq_02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_numbers, u1_struct_0(k4_real_ns1(1))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(1)))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(1))) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(A)))))  =>  ( (B=k2_funct_1(k1_pdiff_1(1, 1)) &  (r2_tarski(C, k1_relset_1(u1_struct_0(k4_real_ns1(1)), F)) &  (r2_hidden(D, k1_relset_1(k1_numbers, E)) &  (C=k9_finseq_1(D) & r2_relset_1(k1_numbers, u1_struct_0(A), k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(1)), u1_struct_0(A), B, F), E)) ) ) )  =>  (r1_ndiff_1(k4_real_ns1(1), A, F, C) <=> r1_ndiff_3(A, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_ordeq_02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k4_real_ns1(1)), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)), k1_numbers)))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(1))) =>  (! [D] :  (m1_subset_1(D, k1_numbers) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(A)))))  =>  ( (r1_funct_2(u1_struct_0(k4_real_ns1(1)), k1_numbers, k1_euclid(1), k1_numbers, B, k1_pdiff_1(1, 1)) &  (r2_tarski(C, k1_relset_1(u1_struct_0(k4_real_ns1(1)), F)) &  (r2_tarski(D, k1_relset_1(k1_numbers, E)) &  (C=k12_finseq_1(k1_numbers, D) & r2_relset_1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(A), F, k1_partfun1(u1_struct_0(k4_real_ns1(1)), k1_numbers, k1_numbers, u1_struct_0(A), B, E))) ) ) )  =>  (r1_ndiff_1(k4_real_ns1(1), A, F, C) <=> r1_ndiff_3(A, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_ordeq_02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_numbers, u1_struct_0(k4_real_ns1(1))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(1)))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(1))) =>  (! [D] :  (m1_subset_1(D, k1_numbers) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(A)))))  =>  ( (B=k2_funct_1(k1_pdiff_1(1, 1)) &  (r2_tarski(C, k1_relset_1(u1_struct_0(k4_real_ns1(1)), F)) &  (r2_tarski(D, k1_relset_1(k1_numbers, E)) &  (C=k12_finseq_1(k1_numbers, D) &  (r2_relset_1(k1_numbers, u1_struct_0(A), k1_partfun1(k1_numbers, u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(1)), u1_struct_0(A), B, F), E) & r1_ndiff_1(k4_real_ns1(1), A, F, C)) ) ) ) )  => k2_normsp_0(A, k1_ndiff_3(A, E, D))=k2_normsp_0(k16_lopban_1(k4_real_ns1(1), A), k3_ndiff_1(k4_real_ns1(1), A, F, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_ordeq_02, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k4_real_ns1(1))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k4_real_ns1(1))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k4_real_ns1(1))) =>  ( (D=k9_finseq_1(A) &  (E=k9_finseq_1(B) & F=k9_finseq_1(C)) )  =>  ( (r2_hidden(C, k2_rcomp_1(A, B)) => r2_tarski(F, k2_ndiff_5(k4_real_ns1(1), D, E)))  &  (r2_tarski(F, k2_ndiff_5(k4_real_ns1(1), D, E)) =>  ( ~ (A=B)  &  ( ( ~ (r1_xxreal_0(B, A))  => r2_hidden(C, k2_rcomp_1(A, B)))  &  ( ~ (r1_xxreal_0(A, B))  => r2_hidden(C, k2_rcomp_1(B, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_ordeq_02, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k4_real_ns1(1))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k4_real_ns1(1))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k4_real_ns1(1))) =>  ( (D=k9_finseq_1(A) &  (E=k9_finseq_1(B) & F=k9_finseq_1(C)) )  =>  ( (r2_hidden(C, k1_rcomp_1(A, B)) => r2_tarski(F, k1_rltopsp1(k4_real_ns1(1), D, E)))  &  (r2_tarski(F, k1_rltopsp1(k4_real_ns1(1), D, E)) =>  ( (r1_xxreal_0(A, B) => r2_hidden(C, k1_rcomp_1(A, B)))  &  (r1_xxreal_0(B, A) => r2_hidden(C, k1_rcomp_1(B, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_ordeq_02, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(1))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k4_real_ns1(1))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, u1_struct_0(k4_real_ns1(1))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(k4_real_ns1(1)))))) )  =>  ( (C=k9_finseq_1(A) &  (D=k9_finseq_1(B) & E=k2_funct_1(k1_pdiff_1(1, 1))) )  =>  ( (r1_xxreal_0(A, B) => k7_relset_1(k1_numbers, u1_struct_0(k4_real_ns1(1)), E, k1_rcomp_1(A, B))=k1_rltopsp1(k4_real_ns1(1), C, D))  &  ( ~ (r1_xxreal_0(B, A))  => k7_relset_1(k1_numbers, u1_struct_0(k4_real_ns1(1)), E, k2_rcomp_1(A, B))=k2_ndiff_5(k4_real_ns1(1), C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_ordeq_02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ( (r1_xxreal_0(C, D) &  (r1_tarski(k1_rcomp_1(C, D), k1_relset_1(k1_numbers, B)) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, k1_rcomp_1(C, D)) => r1_nfcont_3(A, B, F)) ) )  &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, k2_rcomp_1(C, D)) => r1_ndiff_3(A, B, F)) ) )  &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, k2_rcomp_1(C, D)) => r1_xxreal_0(k2_normsp_0(A, k1_ndiff_3(A, B, F)), E)) ) ) ) ) ) )  => r1_xxreal_0(k2_normsp_0(A, k5_algstr_0(A, k7_partfun1(u1_struct_0(A), B, D), k7_partfun1(u1_struct_0(A), B, C))), k3_xcmplx_0(E, k9_complex1(k6_xcmplx_0(D, C))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_ordeq_02, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v5_rlvect_1(D) &  (v6_rlvect_1(D) &  (v7_rlvect_1(D) &  (v8_rlvect_1(D) &  (v3_normsp_0(D) &  (v4_normsp_0(D) &  (v2_normsp_1(D) &  (v3_lopban_1(D) & l1_normsp_1(D)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(D)))))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_nfcont_3(F, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(D))))) )  =>  ( (r1_tarski(k1_rcomp_1(A, B), k1_relset_1(k1_numbers, F)) &  (r1_tarski(k2_rcomp_1(A, B), k1_relset_1(k1_numbers, E)) &  ( (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, k2_rcomp_1(A, B)) => k7_partfun1(u1_struct_0(D), E, G)=k6_integr18(D, F, A, G)) ) )  &  (r2_hidden(C, k2_rcomp_1(A, B)) & r1_nfcont_3(D, F, C)) ) ) )  =>  (r1_ndiff_3(D, E, C) & k1_ndiff_3(D, E, C)=k7_partfun1(u1_struct_0(D), F, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_ordeq_02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_nfcont_3(E, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  =>  ( (k1_relset_1(k1_numbers, E)=k1_rcomp_1(B, C) &  (k1_relset_1(k1_numbers, D)=k1_rcomp_1(B, C) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, k1_rcomp_1(B, C)) => k7_partfun1(u1_struct_0(A), D, F)=k6_integr18(A, E, B, F)) ) ) ) )  =>  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, k1_rcomp_1(B, C)) => r1_nfcont_3(A, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_ordeq_02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_nfcont_3(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  =>  (r2_hidden(B, k1_relset_1(k1_numbers, C)) => k6_integr18(A, C, B, B)=k4_struct_0(A)) ) ) ) ) ) ) ).
fof(t16_ordeq_02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_nfcont_3(E, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  ( (r1_xxreal_0(B, C) &  (k1_relset_1(k1_numbers, E)=k1_rcomp_1(B, C) &  (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, k1_rcomp_1(B, C)) => k7_partfun1(u1_struct_0(A), F, G)=k3_rlvect_1(A, D, k6_integr18(A, E, B, G))) ) ) ) )  => k7_partfun1(u1_struct_0(A), F, B)=D) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_ordeq_02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_nfcont_3(F, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  ( (k1_relset_1(k1_numbers, F)=k1_rcomp_1(C, D) &  (k1_relset_1(k1_numbers, G)=k1_rcomp_1(C, D) &  (B=k2_rcomp_1(C, D) &  (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, k1_rcomp_1(C, D)) => k7_partfun1(u1_struct_0(A), G, H)=k3_rlvect_1(A, E, k6_integr18(A, F, C, H))) ) ) ) ) )  =>  (v1_nfcont_3(G, A) &  (r2_ndiff_3(A, G, B) &  (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, B) => k1_ndiff_3(A, G, H)=k7_partfun1(u1_struct_0(A), F, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_ordeq_02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  ( (r1_xxreal_0(B, C) &  (r1_tarski(k1_rcomp_1(B, C), k1_relset_1(k1_numbers, D)) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k1_rcomp_1(B, C)) => r1_nfcont_3(A, D, E)) ) )  &  (r2_ndiff_3(A, D, k2_rcomp_1(B, C)) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k2_rcomp_1(B, C)) => k1_ndiff_3(A, D, E)=k4_struct_0(A)) ) ) ) ) ) )  => k7_partfun1(u1_struct_0(A), D, C)=k7_partfun1(u1_struct_0(A), D, B)) ) ) ) ) ) ) ) ) ).
fof(t19_ordeq_02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  ( (r1_tarski(k1_rcomp_1(B, C), k1_relset_1(k1_numbers, D)) &  ( (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k1_rcomp_1(B, C)) => r1_nfcont_3(A, D, E)) ) )  &  (r2_ndiff_3(A, D, k2_rcomp_1(B, C)) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k2_rcomp_1(B, C)) => k1_ndiff_3(A, D, E)=k4_struct_0(A)) ) ) ) ) )  => v3_funct_1(k2_partfun1(k1_numbers, u1_struct_0(A), D, k2_rcomp_1(B, C)))) ) ) ) ) ) ) ) ) ).
fof(t20_ordeq_02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_nfcont_3(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  =>  ( (k1_rcomp_1(B, C)=k1_relset_1(k1_numbers, D) & v3_funct_1(k2_partfun1(k1_numbers, u1_struct_0(A), D, k2_rcomp_1(B, C))))  =>  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k1_rcomp_1(B, C)) => k7_partfun1(u1_struct_0(A), D, E)=k7_partfun1(u1_struct_0(A), D, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_ordeq_02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_nfcont_3(F, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_nfcont_3(G, A) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  =>  (! [H] :  ( (v1_funct_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)))))  =>  ( (r1_xxreal_0(C, D) &  (B=k2_rcomp_1(C, D) &  (k1_relset_1(k1_numbers, F)=k1_rcomp_1(C, D) &  (k1_relset_1(k1_numbers, H)=k1_rcomp_1(C, D) &  (k1_relset_1(k1_numbers, G)=k1_rcomp_1(C, D) &  (r2_ndiff_3(A, F, B) &  (k7_partfun1(u1_struct_0(A), F, C)=E &  ( (! [I] :  (v1_xreal_0(I) =>  (r2_hidden(I, B) => k1_ndiff_3(A, F, I)=k7_partfun1(u1_struct_0(A), G, I)) ) )  &  (! [I] :  (v1_xreal_0(I) =>  (r2_hidden(I, k1_rcomp_1(C, D)) => k7_partfun1(u1_struct_0(A), H, I)=k3_rlvect_1(A, E, k6_integr18(A, G, C, I))) ) ) ) ) ) ) ) ) ) )  => r2_relset_1(k1_numbers, u1_struct_0(A), F, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_ordeq_02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ( (r1_xxreal_0(D, E) & r3_nfcont_1(A, A, C, k1_relset_1(u1_struct_0(A), C)))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(k5_ordeq_01(k3_integra5(D, E), A)), u1_struct_0(k5_ordeq_01(k3_integra5(D, E), A))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_ordeq_01(k3_integra5(D, E), A)), u1_struct_0(k5_ordeq_01(k3_integra5(D, E), A)))))) )  =>  (F=k1_ordeq_02(A, B, C, D, E) <=>  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_ordeq_01(k3_integra5(D, E), A))) =>  (? [H] :  ( (v1_funct_1(H) &  (v1_nfcont_3(H, A) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  &  (? [I] :  ( (v1_funct_1(I) &  (v1_nfcont_3(I, A) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  &  (? [J] :  ( (v1_funct_1(J) &  (v1_nfcont_3(J, A) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  &  (G=H &  (k3_funct_2(u1_struct_0(k5_ordeq_01(k3_integra5(D, E), A)), u1_struct_0(k5_ordeq_01(k3_integra5(D, E), A)), F, G)=I &  (k1_relset_1(k1_numbers, H)=k3_integra5(D, E) &  (k1_relset_1(k1_numbers, I)=k3_integra5(D, E) &  (r2_relset_1(k1_numbers, u1_struct_0(A), J, k1_partfun1(k1_numbers, u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), H, C)) &  (! [K] :  (v1_xreal_0(K) =>  (r2_hidden(K, k3_integra5(D, E)) => k7_partfun1(u1_struct_0(A), I, K)=k3_rlvect_1(A, B, k6_integr18(A, J, D, K))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_ordeq_02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  ( (r1_xxreal_0(B, C) &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) => r1_xxreal_0(k2_normsp_0(A, k5_algstr_0(A, k10_funct_2(u1_struct_0(A), u1_struct_0(A), F, G), k10_funct_2(u1_struct_0(A), u1_struct_0(A), F, H))), k3_xcmplx_0(D, k2_normsp_0(A, k5_algstr_0(A, G, H))))) ) ) ) )  =>  (r1_xxreal_0(D, k5_numbers) |  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_ordeq_01(k3_integra5(B, C), A))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k5_ordeq_01(k3_integra5(B, C), A))) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_nfcont_3(I, A) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_nfcont_3(J, A) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  =>  ( (I=k3_funct_2(u1_struct_0(k5_ordeq_01(k3_integra5(B, C), A)), u1_struct_0(k5_ordeq_01(k3_integra5(B, C), A)), k1_ordeq_02(A, E, F, B, C), G) & J=k3_funct_2(u1_struct_0(k5_ordeq_01(k3_integra5(B, C), A)), u1_struct_0(k5_ordeq_01(k3_integra5(B, C), A)), k1_ordeq_02(A, E, F, B, C), H))  =>  (! [K] :  (v1_xreal_0(K) =>  (r2_hidden(K, k3_integra5(B, C)) => r1_xxreal_0(k2_normsp_0(A, k5_algstr_0(A, k7_partfun1(u1_struct_0(A), I, K), k7_partfun1(u1_struct_0(A), J, K))), k3_xcmplx_0(k3_xcmplx_0(D, k6_xcmplx_0(K, B)), k2_normsp_0(k5_ordeq_01(k3_integra5(B, C), A), k5_algstr_0(k5_ordeq_01(k3_integra5(B, C), A), G, H))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_ordeq_02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  ( (r1_xxreal_0(B, C) &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) => r1_xxreal_0(k2_normsp_0(A, k5_algstr_0(A, k10_funct_2(u1_struct_0(A), u1_struct_0(A), F, G), k10_funct_2(u1_struct_0(A), u1_struct_0(A), F, H))), k3_xcmplx_0(D, k2_normsp_0(A, k5_algstr_0(A, G, H))))) ) ) ) )  =>  (r1_xxreal_0(D, k5_numbers) |  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_ordeq_01(k3_integra5(B, C), A))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k5_ordeq_01(k3_integra5(B, C), A))) =>  (! [I] :  (m1_subset_1(I, k4_ordinal1) =>  (! [J] :  ( (v1_funct_1(J) &  (v1_nfcont_3(J, A) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  =>  (! [K] :  ( (v1_funct_1(K) &  (v1_nfcont_3(K, A) & m1_subset_1(K, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  =>  ( (J=k3_funct_2(u1_struct_0(k5_ordeq_01(k3_integra5(B, C), A)), u1_struct_0(k5_ordeq_01(k3_integra5(B, C), A)), k1_abian(u1_struct_0(k5_ordeq_01(k3_integra5(B, C), A)), k1_ordeq_02(A, E, F, B, C), k1_nat_1(I, 1)), G) & K=k3_funct_2(u1_struct_0(k5_ordeq_01(k3_integra5(B, C), A)), u1_struct_0(k5_ordeq_01(k3_integra5(B, C), A)), k1_abian(u1_struct_0(k5_ordeq_01(k3_integra5(B, C), A)), k1_ordeq_02(A, E, F, B, C), k1_nat_1(I, 1)), H))  =>  (! [L] :  (v1_xreal_0(L) =>  (r2_hidden(L, k3_integra5(B, C)) => r1_xxreal_0(k2_normsp_0(A, k5_algstr_0(A, k7_partfun1(u1_struct_0(A), J, L), k7_partfun1(u1_struct_0(A), K, L))), k3_xcmplx_0(k7_xcmplx_0(k1_newton(k3_xcmplx_0(D, k6_xcmplx_0(L, B)), k1_nat_1(I, 1)), k2_newton(k1_nat_1(I, 1))), k2_normsp_0(k5_ordeq_01(k3_integra5(B, C), A), k5_algstr_0(k5_ordeq_01(k3_integra5(B, C), A), G, H))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_ordeq_02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (! [G] :  (v7_ordinal1(G) =>  ( (r1_xxreal_0(B, C) &  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) => r1_xxreal_0(k2_normsp_0(A, k5_algstr_0(A, k10_funct_2(u1_struct_0(A), u1_struct_0(A), F, H), k10_funct_2(u1_struct_0(A), u1_struct_0(A), F, I))), k3_xcmplx_0(D, k2_normsp_0(A, k5_algstr_0(A, H, I))))) ) ) ) )  =>  (r1_xxreal_0(D, k5_numbers) |  (! [H] :  (m1_subset_1(H, u1_struct_0(k5_ordeq_01(k3_integra5(B, C), A))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k5_ordeq_01(k3_integra5(B, C), A))) => r1_xxreal_0(k2_normsp_0(k5_ordeq_01(k3_integra5(B, C), A), k5_algstr_0(k5_ordeq_01(k3_integra5(B, C), A), k3_funct_2(u1_struct_0(k5_ordeq_01(k3_integra5(B, C), A)), u1_struct_0(k5_ordeq_01(k3_integra5(B, C), A)), k1_abian(u1_struct_0(k5_ordeq_01(k3_integra5(B, C), A)), k1_ordeq_02(A, E, F, B, C), k1_nat_1(G, 1)), H), k3_funct_2(u1_struct_0(k5_ordeq_01(k3_integra5(B, C), A)), u1_struct_0(k5_ordeq_01(k3_integra5(B, C), A)), k1_abian(u1_struct_0(k5_ordeq_01(k3_integra5(B, C), A)), k1_ordeq_02(A, E, F, B, C), k1_nat_1(G, 1)), I))), k3_xcmplx_0(k7_xcmplx_0(k1_newton(k3_xcmplx_0(D, k6_xcmplx_0(C, B)), k1_nat_1(G, 1)), k2_newton(k1_nat_1(G, 1))), k2_normsp_0(k5_ordeq_01(k3_integra5(B, C), A), k5_algstr_0(k5_ordeq_01(k3_integra5(B, C), A), H, I))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_ordeq_02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  ~ ( ( ~ (r1_xxreal_0(C, B))  &  (r5_nfcont_1(A, A, u1_struct_0(A), E) &  (! [F] :  (v7_ordinal1(F) =>  ~ (v1_nfcont_2(k1_abian(u1_struct_0(k5_ordeq_01(k3_integra5(B, C), A)), k1_ordeq_02(A, D, E, B, C), k1_nat_1(F, 1)), k5_ordeq_01(k3_integra5(B, C), A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_ordeq_02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (r5_nfcont_1(A, A, u1_struct_0(A), E) =>  (r1_xxreal_0(C, B) | v1_ordeq_01(k1_ordeq_02(A, D, E, B, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_ordeq_02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_nfcont_3(G, A) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_nfcont_3(H, A) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  =>  ( (k1_relset_1(k1_numbers, G)=k3_integra5(C, D) &  (k1_relset_1(k1_numbers, H)=k3_integra5(C, D) &  (B=k2_rcomp_1(C, D) &  (r5_nfcont_1(A, A, u1_struct_0(A), F) & H=k1_funct_1(k1_ordeq_02(A, E, F, C, D), G)) ) ) )  =>  (r1_xxreal_0(D, C) |  (k7_partfun1(u1_struct_0(A), H, C)=E &  (r2_ndiff_3(A, H, B) &  (! [I] :  (v1_xreal_0(I) =>  (r2_hidden(I, B) => k1_ndiff_3(A, H, I)=k7_partfun1(u1_struct_0(A), k1_partfun1(k1_numbers, u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), G, F), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_ordeq_02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_nfcont_3(G, A) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  =>  ( (B=k2_rcomp_1(C, D) &  (r5_nfcont_1(A, A, u1_struct_0(A), F) &  (k1_relset_1(k1_numbers, G)=k3_integra5(C, D) &  (r2_ndiff_3(A, G, B) &  (k7_partfun1(u1_struct_0(A), G, C)=E &  (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, B) => k1_ndiff_3(A, G, H)=k3_funct_2(u1_struct_0(A), u1_struct_0(A), F, k7_partfun1(u1_struct_0(A), G, H))) ) ) ) ) ) ) )  =>  (r1_xxreal_0(D, C) | r1_abian(G, k1_ordeq_02(A, E, F, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_ordeq_02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_nfcont_3(G, A) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_nfcont_3(H, A) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  =>  ( (B=k2_rcomp_1(C, D) &  (r5_nfcont_1(A, A, u1_struct_0(A), F) &  (k1_relset_1(k1_numbers, G)=k3_integra5(C, D) &  (r2_ndiff_3(A, G, B) &  (k7_partfun1(u1_struct_0(A), G, C)=E &  ( (! [I] :  (v1_xreal_0(I) =>  (r2_hidden(I, B) => k1_ndiff_3(A, G, I)=k3_funct_2(u1_struct_0(A), u1_struct_0(A), F, k7_partfun1(u1_struct_0(A), G, I))) ) )  &  (k1_relset_1(k1_numbers, H)=k3_integra5(C, D) &  (r2_ndiff_3(A, H, B) &  (k7_partfun1(u1_struct_0(A), H, C)=E &  (! [I] :  (v1_xreal_0(I) =>  (r2_hidden(I, B) => k1_ndiff_3(A, H, I)=k3_funct_2(u1_struct_0(A), u1_struct_0(A), F, k7_partfun1(u1_struct_0(A), H, I))) ) ) ) ) ) ) ) ) ) ) )  =>  (r1_xxreal_0(D, C) | r2_relset_1(k1_numbers, u1_struct_0(A), G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_ordeq_02, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  ~ ( ( ~ (r1_xxreal_0(D, C))  &  (B=k2_rcomp_1(C, D) &  (r5_nfcont_1(A, A, u1_struct_0(A), F) &  (! [G] :  ( (v1_funct_1(G) &  (v1_nfcont_3(G, A) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A))))) )  =>  ~ ( (k1_relset_1(k1_numbers, G)=k3_integra5(C, D) &  (r2_ndiff_3(A, G, B) &  (k7_partfun1(u1_struct_0(A), G, C)=E &  (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, B) => k1_ndiff_3(A, G, H)=k3_funct_2(u1_struct_0(A), u1_struct_0(A), F, k7_partfun1(u1_struct_0(A), G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_ordeq_02, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  &  (v1_xreal_0(D) & v1_xreal_0(E)) ) ) )  =>  (v1_funct_1(k1_ordeq_02(A, B, C, D, E)) &  (v1_funct_2(k1_ordeq_02(A, B, C, D, E), u1_struct_0(k5_ordeq_01(k3_integra5(D, E), A)), u1_struct_0(k5_ordeq_01(k3_integra5(D, E), A))) & m1_subset_1(k1_ordeq_02(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_ordeq_01(k3_integra5(D, E), A)), u1_struct_0(k5_ordeq_01(k3_integra5(D, E), A)))))) ) ) ) ).
fof(fc1_orders_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k1_orders_1(A))) ) ) ).
fof(fc2_orders_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  => v1_xboole_0(k1_relat_1(A))) ) ).
fof(cc1_orders_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) &  (v2_wellord1(A) &  (v1_orders_1(A) &  (v2_orders_1(A) & v3_orders_1(A)) ) ) ) ) ) ).
fof(fc3_orders_1, axiom,  (! [A] :  (v1_relat_1(k4_relat_1(A)) &  (v1_orders_1(k4_relat_1(A)) & v2_orders_1(k4_relat_1(A))) ) ) ).
fof(fc4_orders_1, axiom,  (v1_xboole_0(k2_wellord2(k1_xboole_0)) & v3_ordinal1(k2_wellord2(k1_xboole_0))) ).
fof(d3_orders_1, axiom,  (! [A] : k1_orders_1(A)=k7_subset_1(k1_zfmisc_1(A), k9_setfam_1(A), k1_tarski(k1_xboole_0))) ).
fof(t1_orders_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (r2_tarski(k1_xboole_0, k1_orders_1(A))) ) ) ).
fof(t2_orders_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (r1_tarski(B, A) <=> r2_tarski(B, k1_orders_1(A))) ) ) ) ).
fof(t3_orders_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_2(C) &  (v4_relat_2(C) &  (v8_relat_2(C) &  (v1_partfun1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  =>  (r2_tarski(B, A) => r2_hidden(k4_tarski(B, B), C)) ) ) ) ) ).
fof(t4_orders_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_2(D) &  (v4_relat_2(D) &  (v8_relat_2(D) &  (v1_partfun1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  =>  ( (r2_tarski(B, A) &  (r2_tarski(C, A) &  (r2_hidden(k4_tarski(B, C), D) & r2_hidden(k4_tarski(C, B), D)) ) )  => B=C) ) ) ) ) ) ).
fof(t5_orders_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (v1_relat_2(E) &  (v4_relat_2(E) &  (v8_relat_2(E) &  (v1_partfun1(E, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  =>  ( (r2_tarski(B, A) &  (r2_tarski(C, A) &  (r2_tarski(D, A) &  (r2_hidden(k4_tarski(B, C), E) & r2_hidden(k4_tarski(C, D), E)) ) ) )  => r2_hidden(k4_tarski(B, D), E)) ) ) ) ) ) ) ).
fof(t6_orders_1, axiom,  (! [A] :  ( ~ ( ( (? [B] :  ( ~ (B=k1_xboole_0)  & r2_tarski(B, A)) )  & k3_tarski(A)=k1_xboole_0) )  &  ~ ( ( ~ (k3_tarski(A)=k1_xboole_0)  &  (! [B] :  ~ ( ( ~ (B=k1_xboole_0)  & r2_tarski(B, A)) ) ) ) ) ) ) ).
fof(t7_orders_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (r7_relat_2(B, A) <=>  (r1_relat_2(B, A) & r6_relat_2(B, A)) ) ) ) ) ).
fof(t8_orders_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  ( (r1_relat_2(C, A) & r1_tarski(B, A))  => r1_relat_2(C, B)) ) ) ) ) ).
fof(t9_orders_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  ( (r4_relat_2(C, A) & r1_tarski(B, A))  => r4_relat_2(C, B)) ) ) ) ) ).
fof(t10_orders_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  ( (r8_relat_2(C, A) & r1_tarski(B, A))  => r8_relat_2(C, B)) ) ) ) ) ).
fof(t11_orders_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  ( (r7_relat_2(C, A) & r1_tarski(B, A))  => r7_relat_2(C, B)) ) ) ) ) ).
fof(t12_orders_1, axiom,  (! [A] :  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => k1_relat_1(B)=A) ) ) ).
fof(t13_orders_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (r1_relat_2(B, A) =>  (k1_relset_1(A, B)=A & k1_relat_1(B)=A) ) ) ) ) ).
fof(t14_orders_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_2(B) &  (v4_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  =>  (k1_relset_1(A, B)=A & k2_relset_1(A, B)=A) ) ) ) ).
fof(t15_orders_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_2(B) &  (v4_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  => k1_relat_1(B)=A) ) ) ).
fof(d4_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v1_orders_1(A) <=>  (v1_relat_2(A) & v8_relat_2(A)) ) ) ) ).
fof(d5_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v2_orders_1(A) <=>  (v1_relat_2(A) &  (v8_relat_2(A) & v4_relat_2(A)) ) ) ) ) ).
fof(d6_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v3_orders_1(A) <=>  (v1_relat_2(A) &  (v8_relat_2(A) &  (v4_relat_2(A) & v6_relat_2(A)) ) ) ) ) ) ).
fof(t16_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v1_orders_1(A) => v1_orders_1(k2_relat_1(A))) ) ) ).
fof(t17_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v2_orders_1(A) => v2_orders_1(k2_relat_1(A))) ) ) ).
fof(t18_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v3_orders_1(A) => v3_orders_1(k2_relat_1(A))) ) ) ).
fof(t19_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v2_wellord1(A) =>  (v1_orders_1(A) &  (v2_orders_1(A) & v3_orders_1(A)) ) ) ) ) ).
fof(t20_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v3_orders_1(A) =>  (v1_orders_1(A) & v2_orders_1(A)) ) ) ) ).
fof(t21_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v2_orders_1(A) => v1_orders_1(A)) ) ) ).
fof(t22_orders_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_2(B) &  (v4_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  => v2_orders_1(B)) ) ) ).
fof(t23_orders_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_2(B) &  (v4_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  => v1_orders_1(B)) ) ) ).
fof(t24_orders_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_2(B) &  (v4_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  =>  (v6_relat_2(B) => v3_orders_1(B)) ) ) ) ).
fof(t25_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_orders_1(A) => v1_orders_1(k2_wellord1(A, B))) ) ) ) ).
fof(t26_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v2_orders_1(A) => v2_orders_1(k2_wellord1(A, B))) ) ) ) ).
fof(t27_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v3_orders_1(A) => v3_orders_1(k2_wellord1(A, B))) ) ) ) ).
fof(d7_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r1_orders_1(A, B) <=>  (r1_relat_2(A, B) & r8_relat_2(A, B)) ) ) ) ) ).
fof(d8_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r2_orders_1(A, B) <=>  (r1_relat_2(A, B) &  (r8_relat_2(A, B) & r4_relat_2(A, B)) ) ) ) ) ) ).
fof(d9_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r3_orders_1(A, B) <=>  (r1_relat_2(A, B) &  (r8_relat_2(A, B) &  (r4_relat_2(A, B) & r6_relat_2(A, B)) ) ) ) ) ) ) ).
fof(t28_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r2_wellord1(A, B) =>  (r1_orders_1(A, B) &  (r2_orders_1(A, B) & r3_orders_1(A, B)) ) ) ) ) ) ).
fof(t29_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r3_orders_1(A, B) =>  (r1_orders_1(A, B) & r2_orders_1(A, B)) ) ) ) ) ).
fof(t30_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r2_orders_1(A, B) => r1_orders_1(A, B)) ) ) ) ).
fof(t31_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v1_orders_1(A) => r1_orders_1(A, k1_relat_1(A))) ) ) ).
fof(t32_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  ( (r1_orders_1(A, C) & r1_tarski(B, C))  => r1_orders_1(A, B)) ) ) ) ) ).
fof(t33_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r1_orders_1(A, B) => v1_orders_1(k2_wellord1(A, B))) ) ) ) ).
fof(t34_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v2_orders_1(A) => r2_orders_1(A, k1_relat_1(A))) ) ) ).
fof(t35_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  ( (r2_orders_1(A, C) & r1_tarski(B, C))  => r2_orders_1(A, B)) ) ) ) ) ).
fof(t36_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r2_orders_1(A, B) => v2_orders_1(k2_wellord1(A, B))) ) ) ) ).
fof(t37_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v3_orders_1(A) => r3_orders_1(A, k1_relat_1(A))) ) ) ).
fof(t38_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  ( (r3_orders_1(A, C) & r1_tarski(B, C))  => r3_orders_1(A, B)) ) ) ) ) ).
fof(t39_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r3_orders_1(A, B) => v3_orders_1(k2_wellord1(A, B))) ) ) ) ).
fof(t40_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r1_orders_1(A, B) => r1_orders_1(k2_relat_1(A), B)) ) ) ) ).
fof(t41_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r2_orders_1(A, B) => r2_orders_1(k2_relat_1(A), B)) ) ) ) ).
fof(t42_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r3_orders_1(A, B) => r3_orders_1(k2_relat_1(A), B)) ) ) ) ).
fof(t43_orders_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_2(B) &  (v4_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  => r1_orders_1(B, A)) ) ) ).
fof(t44_orders_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_2(B) &  (v4_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  => r2_orders_1(B, A)) ) ) ).
fof(t45_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r2_orders_1(A, B) =>  (v1_relat_2(k2_wellord1(A, B)) &  (v4_relat_2(k2_wellord1(A, B)) &  (v8_relat_2(k2_wellord1(A, B)) &  (v1_partfun1(k2_wellord1(A, B), B) & m1_subset_1(k2_wellord1(A, B), k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) ) ) ) ) ) ) ).
fof(t46_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r3_orders_1(A, B) =>  (v1_relat_2(k2_wellord1(A, B)) &  (v4_relat_2(k2_wellord1(A, B)) &  (v8_relat_2(k2_wellord1(A, B)) &  (v1_partfun1(k2_wellord1(A, B), B) & m1_subset_1(k2_wellord1(A, B), k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) ) ) ) ) ) ) ).
fof(t47_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r2_wellord1(A, B) =>  (v1_relat_2(k2_wellord1(A, B)) &  (v4_relat_2(k2_wellord1(A, B)) &  (v8_relat_2(k2_wellord1(A, B)) &  (v1_partfun1(k2_wellord1(A, B), B) & m1_subset_1(k2_wellord1(A, B), k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) ) ) ) ) ) ) ).
fof(t48_orders_1, axiom,  (! [A] :  (r1_orders_1(k6_partfun1(A), A) & r2_orders_1(k6_partfun1(A), A)) ) ).
fof(d10_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r4_orders_1(A, B) <=>  (! [C] :  ~ ( (r1_tarski(C, B) &  (v3_orders_1(k2_wellord1(A, C)) &  (! [D] :  ~ ( (r2_tarski(D, B) &  (! [E] :  (r2_tarski(E, C) => r2_hidden(k4_tarski(E, D), A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r5_orders_1(A, B) <=>  (! [C] :  ~ ( (r1_tarski(C, B) &  (v3_orders_1(k2_wellord1(A, C)) &  (! [D] :  ~ ( (r2_tarski(D, B) &  (! [E] :  (r2_tarski(E, C) => r2_hidden(k4_tarski(D, E), A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  ~ ( (r4_orders_1(A, B) & B=k1_xboole_0) ) ) ) ) ).
fof(t50_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  ~ ( (r5_orders_1(A, B) & B=k1_xboole_0) ) ) ) ) ).
fof(t51_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r4_orders_1(A, B) <=> r5_orders_1(k2_relat_1(A), B)) ) ) ) ).
fof(t52_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r4_orders_1(k2_relat_1(A), B) <=> r5_orders_1(A, B)) ) ) ) ).
fof(d12_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r6_orders_1(A, B) <=>  (r2_tarski(B, k1_relat_1(A)) &  (! [C] :  ~ ( (r2_tarski(C, k1_relat_1(A)) &  ( ~ (C=B)  & r2_hidden(k4_tarski(B, C), A)) ) ) ) ) ) ) ) ) ).
fof(d13_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r7_orders_1(A, B) <=>  (r2_tarski(B, k1_relat_1(A)) &  (! [C] :  ~ ( (r2_tarski(C, k1_relat_1(A)) &  ( ~ (C=B)  & r2_hidden(k4_tarski(C, B), A)) ) ) ) ) ) ) ) ) ).
fof(d14_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r8_orders_1(A, B) <=>  (r2_tarski(B, k1_relat_1(A)) &  (! [C] :  (r2_tarski(C, k1_relat_1(A)) =>  (C=B | r2_hidden(k4_tarski(C, B), A)) ) ) ) ) ) ) ) ).
fof(d15_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r9_orders_1(A, B) <=>  (r2_tarski(B, k1_relat_1(A)) &  (! [C] :  (r2_tarski(C, k1_relat_1(A)) =>  (C=B | r2_hidden(k4_tarski(B, C), A)) ) ) ) ) ) ) ) ).
fof(t53_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  ( (r9_orders_1(A, B) & v4_relat_2(A))  => r7_orders_1(A, B)) ) ) ) ).
fof(t54_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  ( (r8_orders_1(A, B) & v4_relat_2(A))  => r6_orders_1(A, B)) ) ) ) ).
fof(t55_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  ( (r7_orders_1(A, B) & v6_relat_2(A))  => r9_orders_1(A, B)) ) ) ) ).
fof(t56_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  ( (r6_orders_1(A, B) & v6_relat_2(A))  => r8_orders_1(A, B)) ) ) ) ).
fof(t57_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  ( (r2_tarski(C, B) &  (r8_orders_1(A, C) &  (r1_tarski(B, k1_relat_1(A)) & v1_relat_2(A)) ) )  => r4_orders_1(A, B)) ) ) ) ) ).
fof(t58_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  ( (r2_tarski(C, B) &  (r9_orders_1(A, C) &  (r1_tarski(B, k1_relat_1(A)) & v1_relat_2(A)) ) )  => r5_orders_1(A, B)) ) ) ) ) ).
fof(t59_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r7_orders_1(A, B) <=> r6_orders_1(k2_relat_1(A), B)) ) ) ) ).
fof(t60_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r7_orders_1(k2_relat_1(A), B) <=> r6_orders_1(A, B)) ) ) ) ).
fof(t61_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r9_orders_1(A, B) <=> r8_orders_1(k2_relat_1(A), B)) ) ) ) ).
fof(t62_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r9_orders_1(k2_relat_1(A), B) <=> r8_orders_1(A, B)) ) ) ) ).
fof(t63_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  ~ ( (r2_orders_1(A, B) &  (k1_relat_1(A)=B &  (r4_orders_1(A, B) &  (! [C] :  ~ (r6_orders_1(A, C)) ) ) ) ) ) ) ) ) ).
fof(t64_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  ~ ( (r2_orders_1(A, B) &  (k1_relat_1(A)=B &  (r5_orders_1(A, B) &  (! [C] :  ~ (r7_orders_1(A, C)) ) ) ) ) ) ) ) ) ).
fof(t65_orders_1, axiom,  (! [A] :  ~ ( ( ~ (A=k1_xboole_0)  &  ( (! [B] :  ~ ( (r1_tarski(B, A) &  (v6_ordinal1(B) &  (! [C] :  ~ ( (r2_tarski(C, A) &  (! [D] :  (r2_tarski(D, B) => r1_tarski(D, C)) ) ) ) ) ) ) ) )  &  (! [B] :  ~ ( (r2_tarski(B, A) &  (! [C] :  ~ ( (r2_tarski(C, A) &  ( ~ (C=B)  & r1_tarski(B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_orders_1, axiom,  (! [A] :  ~ ( ( ~ (A=k1_xboole_0)  &  ( (! [B] :  ~ ( (r1_tarski(B, A) &  (v6_ordinal1(B) &  (! [C] :  ~ ( (r2_tarski(C, A) &  (! [D] :  (r2_tarski(D, B) => r1_tarski(C, D)) ) ) ) ) ) ) ) )  &  (! [B] :  ~ ( (r2_tarski(B, A) &  (! [C] :  ~ ( (r2_tarski(C, A) &  ( ~ (C=B)  & r1_tarski(C, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_orders_1, axiom,  (! [A] :  ~ ( ( ~ (A=k1_xboole_0)  &  ( (! [B] :  ( (r1_tarski(B, A) & v6_ordinal1(B))  =>  (B=k1_xboole_0 | r2_tarski(k3_tarski(B), A)) ) )  &  (! [B] :  ~ ( (r2_tarski(B, A) &  (! [C] :  ~ ( (r2_tarski(C, A) &  ( ~ (C=B)  & r1_tarski(B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_orders_1, axiom,  (! [A] :  ~ ( ( ~ (A=k1_xboole_0)  &  ( (! [B] :  ( (r1_tarski(B, A) & v6_ordinal1(B))  =>  (B=k1_xboole_0 | r2_tarski(k1_setfam_1(B), A)) ) )  &  (! [B] :  ~ ( (r2_tarski(B, A) &  (! [C] :  ~ ( (r2_tarski(C, A) &  ( ~ (C=B)  & r1_tarski(C, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t69_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  ~ ( (r2_orders_1(A, B) &  (k1_relat_1(A)=B &  (! [C] :  (v1_relat_1(C) =>  ~ ( (r1_tarski(A, C) &  (r3_orders_1(C, B) & k1_relat_1(C)=B) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_orders_1, axiom,  (! [A] :  (v1_relat_1(A) => r1_tarski(A, k2_zfmisc_1(k1_relat_1(A), k1_relat_1(A)))) ) ).
fof(t71_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  ( (v1_relat_2(A) & r1_tarski(B, k1_relat_1(A)))  => k1_relat_1(k2_wellord1(A, B))=B) ) ) ) ).
fof(t72_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r1_relat_2(A, B) => v1_relat_2(k2_wellord1(A, B))) ) ) ) ).
fof(t73_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r8_relat_2(A, B) => v8_relat_2(k2_wellord1(A, B))) ) ) ) ).
fof(t74_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r4_relat_2(A, B) => v4_relat_2(k2_wellord1(A, B))) ) ) ) ).
fof(t75_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r6_relat_2(A, B) => v6_relat_2(k2_wellord1(A, B))) ) ) ) ).
fof(t76_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  ( (r6_relat_2(A, B) & r1_tarski(C, B))  => r6_relat_2(A, C)) ) ) ) ) ).
fof(t77_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  ( (r2_wellord1(A, B) & r1_tarski(C, B))  => r2_wellord1(A, C)) ) ) ) ) ).
fof(t78_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v6_relat_2(A) => v6_relat_2(k2_relat_1(A))) ) ) ).
fof(t79_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r1_relat_2(A, B) => r1_relat_2(k2_relat_1(A), B)) ) ) ) ).
fof(t80_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r8_relat_2(A, B) => r8_relat_2(k2_relat_1(A), B)) ) ) ) ).
fof(t81_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r4_relat_2(A, B) => r4_relat_2(k2_relat_1(A), B)) ) ) ) ).
fof(t82_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r6_relat_2(A, B) => r6_relat_2(k2_relat_1(A), B)) ) ) ) ).
fof(t83_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] : k2_relat_1(k2_wellord1(A, B))=k2_wellord1(k2_relat_1(A), B)) ) ) ).
fof(t84_orders_1, axiom,  (! [A] :  (v1_relat_1(A) => k2_wellord1(A, k1_xboole_0)=k1_xboole_0) ) ).
fof(t85_orders_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ~ ( (v1_finset_1(B) &  (r1_tarski(B, k10_xtuple_0(A)) &  (! [C] :  ~ ( (r1_tarski(C, k9_xtuple_0(A)) &  (v1_finset_1(C) & k7_relat_1(A, C)=B) ) ) ) ) ) ) ) ) ) ).
fof(t86_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v1_finset_1(k1_relat_1(A)) => v1_finset_1(A)) ) ) ).
fof(t87_orders_1, axiom,  (! [A] :  (v1_relat_1(A) =>  ( (v1_finset_1(k9_xtuple_0(A)) & v1_finset_1(k10_xtuple_0(A)))  => v1_finset_1(A)) ) ) ).
fof(t88_orders_1, axiom,  (! [A] :  (v3_ordinal1(A) => k2_wellord2(k1_wellord2(A))=A) ) ).
fof(t89_orders_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (r2_tarski(k1_xboole_0, A))  =>  (! [B] :  (m2_orders_1(B, A, k6_partfun1(A)) =>  (! [C] :  (r2_tarski(C, A) => r2_tarski(k1_funct_1(B, C), C)) ) ) ) ) ) ) ).
fof(t90_orders_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (r2_tarski(k1_xboole_0, A))  =>  (! [B] :  (m2_orders_1(B, A, k6_partfun1(A)) =>  (v1_funct_1(B) &  (v1_funct_2(B, A, k3_tarski(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k3_tarski(A))))) ) ) ) ) ) ) ).
fof(s1_orders_1, axiom,  ( ( (! [A] :  (m1_subset_1(A, f1_s1_orders_1) => p1_s1_orders_1(A, A)) )  &  ( (! [A] :  (m1_subset_1(A, f1_s1_orders_1) =>  (! [B] :  (m1_subset_1(B, f1_s1_orders_1) =>  ( (p1_s1_orders_1(A, B) & p1_s1_orders_1(B, A))  => A=B) ) ) ) )  &  ( (! [A] :  (m1_subset_1(A, f1_s1_orders_1) =>  (! [B] :  (m1_subset_1(B, f1_s1_orders_1) =>  (! [C] :  (m1_subset_1(C, f1_s1_orders_1) =>  ( (p1_s1_orders_1(A, B) & p1_s1_orders_1(B, C))  => p1_s1_orders_1(A, C)) ) ) ) ) ) )  &  (! [A] :  ~ ( (r1_tarski(A, f1_s1_orders_1) &  ( (! [B] :  (m1_subset_1(B, f1_s1_orders_1) =>  (! [C] :  (m1_subset_1(C, f1_s1_orders_1) =>  ~ ( (r2_tarski(B, A) &  (r2_tarski(C, A) &  ( ~ (p1_s1_orders_1(B, C))  &  ~ (p1_s1_orders_1(C, B)) ) ) ) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, f1_s1_orders_1) =>  (? [C] :  (m1_subset_1(C, f1_s1_orders_1) &  (r2_tarski(C, A) &  ~ (p1_s1_orders_1(C, B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (? [A] :  (m1_subset_1(A, f1_s1_orders_1) &  (! [B] :  (m1_subset_1(B, f1_s1_orders_1) =>  ~ ( ( ~ (A=B)  & p1_s1_orders_1(A, B)) ) ) ) ) ) ) ).
fof(s2_orders_1, axiom,  ( ( (! [A] :  (m1_subset_1(A, f1_s2_orders_1) => p1_s2_orders_1(A, A)) )  &  ( (! [A] :  (m1_subset_1(A, f1_s2_orders_1) =>  (! [B] :  (m1_subset_1(B, f1_s2_orders_1) =>  ( (p1_s2_orders_1(A, B) & p1_s2_orders_1(B, A))  => A=B) ) ) ) )  &  ( (! [A] :  (m1_subset_1(A, f1_s2_orders_1) =>  (! [B] :  (m1_subset_1(B, f1_s2_orders_1) =>  (! [C] :  (m1_subset_1(C, f1_s2_orders_1) =>  ( (p1_s2_orders_1(A, B) & p1_s2_orders_1(B, C))  => p1_s2_orders_1(A, C)) ) ) ) ) ) )  &  (! [A] :  ~ ( (r1_tarski(A, f1_s2_orders_1) &  ( (! [B] :  (m1_subset_1(B, f1_s2_orders_1) =>  (! [C] :  (m1_subset_1(C, f1_s2_orders_1) =>  ~ ( (r2_tarski(B, A) &  (r2_tarski(C, A) &  ( ~ (p1_s2_orders_1(B, C))  &  ~ (p1_s2_orders_1(C, B)) ) ) ) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, f1_s2_orders_1) =>  (? [C] :  (m1_subset_1(C, f1_s2_orders_1) &  (r2_tarski(C, A) &  ~ (p1_s2_orders_1(B, C)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (? [A] :  (m1_subset_1(A, f1_s2_orders_1) &  (! [B] :  (m1_subset_1(B, f1_s2_orders_1) =>  ~ ( ( ~ (A=B)  & p1_s2_orders_1(B, A)) ) ) ) ) ) ) ).
fof(dt_m1_orders_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (m1_orders_1(B, A) =>  (v1_relat_1(B) & v1_funct_1(B)) ) ) ) ) ).
fof(existence_m1_orders_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (? [B] : m1_orders_1(B, A)) ) ) ).
fof(dt_m2_orders_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m2_orders_1(C, A, B) =>  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) ) ) ) ) ).
fof(existence_m2_orders_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (? [C] : m2_orders_1(C, A, B)) ) ) ).
fof(redefinition_m2_orders_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m2_orders_1(C, A, B) <=> m1_orders_1(C, B)) ) ) ) ).
fof(dt_f1_s1_orders_1, axiom,  ~ (v1_xboole_0(f1_s1_orders_1)) ).
fof(dt_f1_s2_orders_1, axiom,  ~ (v1_xboole_0(f1_s2_orders_1)) ).
fof(dt_k2_orders_1, axiom,  (! [A] :  (v1_relat_2(k2_orders_1(A)) &  (v4_relat_2(k2_orders_1(A)) &  (v8_relat_2(k2_orders_1(A)) &  (v1_partfun1(k2_orders_1(A), A) & m1_subset_1(k2_orders_1(A), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ).
fof(redefinition_k2_orders_1, axiom,  (! [A] : k2_orders_1(A)=k1_wellord2(A)) ).
fof(d1_orders_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (m1_orders_1(B, A) <=>  (k9_xtuple_0(B)=k9_xtuple_0(A) &  (! [C] :  (r2_hidden(C, k9_xtuple_0(A)) => k1_funct_1(B, C)=o_2_0_orders_1(A, C)) ) ) ) ) ) ) ) ).
fof(d2_orders_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (m2_orders_1(C, A, B) <=>  (! [D] :  (r2_hidden(D, A) => k1_funct_1(C, D)=o_3_0_orders_1(A, B, D)) ) ) ) ) ) ) ) ).
fof(dt_o_2_0_orders_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_funct_1(A))  => m1_subset_1(o_2_0_orders_1(A, B), k1_funct_1(A, B))) ) ).
fof(dt_o_3_0_orders_1, axiom,  (! [A, B, C] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => m1_subset_1(o_3_0_orders_1(A, B, C), k1_funct_1(B, C))) ) ).
fof(rc1_orders_2, axiom,  (? [A] :  (l1_orders_2(A) & v1_orders_2(A)) ) ).
fof(fc1_orders_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  ( ~ (v2_struct_0(g1_orders_2(A, B)))  & v1_orders_2(g1_orders_2(A, B))) ) ) ).
fof(rc2_orders_2, axiom,  (? [A] :  (l1_orders_2(A) &  (v13_struct_0(A, 1) &  (v1_orders_2(A) &  (v2_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) & v5_orders_2(A)) ) ) ) ) ) ) ).
fof(cc1_orders_2, axiom,  (! [A] :  (l1_orders_2(A) =>  (v3_orders_2(A) => v2_orders_2(A)) ) ) ).
fof(fc2_orders_2, axiom,  (! [A] :  ( (v2_orders_2(A) & l1_orders_2(A))  => v1_partfun1(u1_orders_2(A), u1_struct_0(A))) ) ).
fof(fc3_orders_2, axiom,  (! [A] :  ( (v3_orders_2(A) & l1_orders_2(A))  => v1_relat_2(u1_orders_2(A))) ) ).
fof(fc4_orders_2, axiom,  (! [A] :  ( (v2_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) )  => v4_relat_2(u1_orders_2(A))) ) ).
fof(fc5_orders_2, axiom,  (! [A] :  ( (v2_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) )  => v8_relat_2(u1_orders_2(A))) ) ).
fof(fc6_orders_2, axiom,  (! [A, B] :  ( (v1_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (v1_orders_2(g1_orders_2(A, B)) & v3_orders_2(g1_orders_2(A, B))) ) ) ).
fof(fc7_orders_2, axiom,  (! [A, B] :  ( (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (v1_orders_2(g1_orders_2(A, B)) & v4_orders_2(g1_orders_2(A, B))) ) ) ).
fof(fc8_orders_2, axiom,  (! [A, B] :  ( (v4_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (v1_orders_2(g1_orders_2(A, B)) & v5_orders_2(g1_orders_2(A, B))) ) ) ).
fof(cc2_orders_2, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_xboole_0(B) => v6_orders_2(B, A)) ) ) ) ) ).
fof(rc3_orders_2, axiom,  (! [A] :  (l1_orders_2(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v6_orders_2(B, A)) ) ) ) ).
fof(fc9_orders_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  & m1_orders_1(B, k6_partfun1(k1_orders_1(u1_struct_0(A)))))  =>  ~ (v1_xboole_0(k4_orders_2(A, B))) ) ) ).
fof(rc4_orders_2, axiom,  (? [A] :  (l1_orders_2(A) &  (v2_struct_0(A) & v1_orders_2(A)) ) ) ).
fof(d1_orders_2, axiom,  (! [A] :  (l1_orders_2(A) =>  (v2_orders_2(A) <=> v1_partfun1(u1_orders_2(A), u1_struct_0(A))) ) ) ).
fof(d2_orders_2, axiom,  (! [A] :  (l1_orders_2(A) =>  (v3_orders_2(A) <=> r1_relat_2(u1_orders_2(A), u1_struct_0(A))) ) ) ).
fof(d3_orders_2, axiom,  (! [A] :  (l1_orders_2(A) =>  (v4_orders_2(A) <=> r8_relat_2(u1_orders_2(A), u1_struct_0(A))) ) ) ).
fof(d4_orders_2, axiom,  (! [A] :  (l1_orders_2(A) =>  (v5_orders_2(A) <=> r4_relat_2(u1_orders_2(A), u1_struct_0(A))) ) ) ).
fof(d5_orders_2, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_orders_2(A, B, C) <=> r2_hidden(k4_tarski(B, C), u1_orders_2(A))) ) ) ) ) ) ) ).
fof(d6_orders_2, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_orders_2(A, B, C) <=>  (r1_orders_2(A, B, C) &  ~ (B=C) ) ) ) ) ) ) ) ) ).
fof(t1_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_orders_2(A, B, B)) ) ) ) ).
fof(t2_orders_2, axiom,  (! [A] :  ( (v5_orders_2(A) & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (r1_orders_2(A, B, C) & r1_orders_2(A, C, B))  => B=C) ) ) ) ) ) ) ).
fof(t3_orders_2, axiom,  (! [A] :  ( (v4_orders_2(A) & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_orders_2(A, B, C) & r1_orders_2(A, C, D))  => r1_orders_2(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t4_orders_2, axiom,  (! [A] :  ( (v5_orders_2(A) & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r2_orders_2(A, B, C) & r2_orders_2(A, C, B)) ) ) ) ) ) ) ) ).
fof(t5_orders_2, axiom,  (! [A] :  ( (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_orders_2(A, B, C) & r2_orders_2(A, C, D))  => r2_orders_2(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t6_orders_2, axiom,  (! [A] :  ( (v5_orders_2(A) & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r1_orders_2(A, B, C) & r2_orders_2(A, C, B)) ) ) ) ) ) ) ) ).
fof(t7_orders_2, axiom,  (! [A] :  ( (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ( (r2_orders_2(A, B, C) & r1_orders_2(A, C, D))  |  (r1_orders_2(A, B, C) & r2_orders_2(A, C, D)) )  => r2_orders_2(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d7_orders_2, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v6_orders_2(B, A) <=> r7_relat_2(u1_orders_2(A), B)) ) ) ) ) ).
fof(t8_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v6_orders_2(k6_domain_1(u1_struct_0(A), B), A) & m1_subset_1(k6_domain_1(u1_struct_0(A), B), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ).
fof(t9_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v6_orders_2(k7_domain_1(u1_struct_0(A), B, C), A) & m1_subset_1(k7_domain_1(u1_struct_0(A), B, C), k1_zfmisc_1(u1_struct_0(A))))  <=>  (r3_orders_2(A, B, C) | r3_orders_2(A, C, B)) ) ) ) ) ) ) ) ).
fof(t10_orders_2, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  ( (v6_orders_2(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(C, B) =>  (v6_orders_2(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ) ) ).
fof(t11_orders_2, axiom,  (! [A] :  ( (v3_orders_2(A) & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ ( ( (? [D] :  ( (v6_orders_2(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  &  (r2_tarski(B, D) & r2_tarski(C, D)) ) )  &  ( ~ (r1_orders_2(A, B, C))  &  ~ (r1_orders_2(A, C, B)) ) ) )  &  ~ ( ( (r1_orders_2(A, B, C) | r1_orders_2(A, C, B))  &  (! [D] :  ( (v6_orders_2(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( (r2_tarski(B, D) & r2_tarski(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_orders_2, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (? [D] :  ( (v6_orders_2(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  &  (r2_tarski(B, D) & r2_tarski(C, D)) ) )  <=>  (r2_orders_2(A, B, C) <=>  ~ (r1_orders_2(A, C, B)) ) ) ) ) ) ) ) ) ).
fof(t13_orders_2, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_wellord1(u1_orders_2(A), B) =>  (v6_orders_2(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ).
fof(t14_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  => k1_orders_2(A, k1_struct_0(A))=u1_struct_0(A)) ) ).
fof(t15_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  => k1_orders_2(A, k2_struct_0(A))=k1_xboole_0) ) ).
fof(t16_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  => k2_orders_2(A, k1_struct_0(A))=u1_struct_0(A)) ) ).
fof(t17_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  => k2_orders_2(A, k2_struct_0(A))=k1_xboole_0) ) ).
fof(t18_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_tarski(B, C) & r2_tarski(B, k1_orders_2(A, C))) ) ) ) ) ) ) ) ).
fof(t19_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ (r2_tarski(B, k1_orders_2(A, k6_domain_1(u1_struct_0(A), B)))) ) ) ) ) ).
fof(t20_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_tarski(B, C) & r2_tarski(B, k2_orders_2(A, C))) ) ) ) ) ) ) ) ).
fof(t21_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ (r2_tarski(B, k2_orders_2(A, k6_domain_1(u1_struct_0(A), B)))) ) ) ) ) ).
fof(t22_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_orders_2(A, C, B) <=> r2_tarski(B, k1_orders_2(A, k6_domain_1(u1_struct_0(A), C)))) ) ) ) ) ) ) ).
fof(t23_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_orders_2(A, B, C) <=> r2_tarski(B, k2_orders_2(A, k6_domain_1(u1_struct_0(A), C)))) ) ) ) ) ) ) ).
fof(d10_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_orders_2(A, B, C)=k9_subset_1(u1_struct_0(A), k2_orders_2(A, k6_domain_1(u1_struct_0(A), C)), B)) ) ) ) ) ) ).
fof(d11_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( ( ~ (B=k1_xboole_0)  =>  (m1_orders_2(C, A, B) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (r2_tarski(D, B) & C=k3_orders_2(A, B, D)) ) ) ) )  &  (B=k1_xboole_0 =>  (m1_orders_2(C, A, B) <=> C=k1_xboole_0) ) ) ) ) ) ) ) ) ).
fof(t24_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(B, k3_orders_2(A, D, C)) <=>  (r2_orders_2(A, B, C) & r2_tarski(B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t25_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k3_orders_2(A, k1_struct_0(A), B)=k1_xboole_0) ) ) ) ).
fof(t26_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ (r2_tarski(B, k3_orders_2(A, C, B))) ) ) ) ) ) ) ).
fof(t27_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_orders_2(A, B, C) => r1_tarski(k3_orders_2(A, D, B), k3_orders_2(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t28_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(C, D) => r1_tarski(k3_orders_2(A, C, B), k3_orders_2(A, D, B))) ) ) ) ) ) ) ) ) ).
fof(t29_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_orders_2(C, A, B) => r1_tarski(C, B)) ) ) ) ) ) ).
fof(t30_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ~ ( ( ~ (B=k1_xboole_0)  & m1_orders_2(B, A, B)) )  &  ~ ( ( ~ (m1_orders_2(B, A, B))  & B=k1_xboole_0) ) ) ) ) ) ) ).
fof(t31_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( ~ (B=k1_xboole_0)  &  (m1_orders_2(B, A, C) & m1_orders_2(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(t32_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r2_orders_2(A, B, C) &  (r2_tarski(B, D) &  (r2_tarski(C, E) & m1_orders_2(E, A, D)) ) )  => r2_tarski(B, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r2_tarski(B, C) & m1_orders_2(C, A, D))  => k3_orders_2(A, C, B)=k3_orders_2(A, D, B)) ) ) ) ) ) ) ) ) ).
fof(t34_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r1_tarski(B, C) &  (r2_wellord1(u1_orders_2(A), C) &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r2_tarski(E, B) & r2_orders_2(A, D, E))  => r2_tarski(D, B)) ) ) ) )  &  ( ~ (B=C)  &  ~ (m1_orders_2(B, A, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r1_tarski(B, C) &  (r2_wellord1(u1_orders_2(A), C) &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r2_tarski(E, B) &  (r2_tarski(D, C) & r2_orders_2(A, D, E)) )  => r2_tarski(D, B)) ) ) ) )  &  ( ~ (B=C)  &  ~ (m1_orders_2(B, A, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m2_orders_1(B, k1_orders_1(u1_struct_0(A)), k6_partfun1(k1_orders_1(u1_struct_0(A)))) =>  (! [C] :  ( (v6_orders_2(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (m2_orders_2(C, A, B) <=>  ( ~ (C=k1_xboole_0)  &  (r2_wellord1(u1_orders_2(A), C) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, C) => k1_funct_1(B, k1_orders_2(A, k3_orders_2(A, C, D)))=D) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m2_orders_1(B, k1_orders_1(u1_struct_0(A)), k6_partfun1(k1_orders_1(u1_struct_0(A)))) => m2_orders_2(k1_tarski(k1_funct_1(B, u1_struct_0(A))), A, B)) ) ) ) ).
fof(t37_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m2_orders_1(B, k1_orders_1(u1_struct_0(A)), k6_partfun1(k1_orders_1(u1_struct_0(A)))) =>  (! [C] :  (m2_orders_2(C, A, B) => r2_tarski(k1_funct_1(B, u1_struct_0(A)), C)) ) ) ) ) ) ).
fof(t38_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_orders_1(D, k1_orders_1(u1_struct_0(A)), k6_partfun1(k1_orders_1(u1_struct_0(A)))) =>  (! [E] :  (m2_orders_2(E, A, D) =>  ( (r2_tarski(B, E) & C=k1_funct_1(D, u1_struct_0(A)))  => r3_orders_2(A, C, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_orders_1(C, k1_orders_1(u1_struct_0(A)), k6_partfun1(k1_orders_1(u1_struct_0(A)))) =>  (! [D] :  (m2_orders_2(D, A, C) =>  (B=k1_funct_1(C, u1_struct_0(A)) => k3_orders_2(A, D, B)=k1_xboole_0) ) ) ) ) ) ) ) ) ).
fof(t40_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m2_orders_1(B, k1_orders_1(u1_struct_0(A)), k6_partfun1(k1_orders_1(u1_struct_0(A)))) =>  (! [C] :  (m2_orders_2(C, A, B) =>  (! [D] :  (m2_orders_2(D, A, B) =>  ~ (r1_xboole_0(C, D)) ) ) ) ) ) ) ) ) ).
fof(t41_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m2_orders_1(B, k1_orders_1(u1_struct_0(A)), k6_partfun1(k1_orders_1(u1_struct_0(A)))) =>  (! [C] :  (m2_orders_2(C, A, B) =>  (! [D] :  (m2_orders_2(D, A, B) =>  ( ~ (C=D)  =>  (m1_orders_2(C, A, D) <=>  ~ (m1_orders_2(D, A, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m2_orders_1(B, k1_orders_1(u1_struct_0(A)), k6_partfun1(k1_orders_1(u1_struct_0(A)))) =>  (! [C] :  (m2_orders_2(C, A, B) =>  (! [D] :  (m2_orders_2(D, A, B) =>  (r2_xboole_0(C, D) <=> m1_orders_2(C, A, D)) ) ) ) ) ) ) ) ) ).
fof(d13_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m2_orders_1(B, k1_orders_1(u1_struct_0(A)), k6_partfun1(k1_orders_1(u1_struct_0(A)))) =>  (! [C] :  (C=k4_orders_2(A, B) <=>  (! [D] :  (r2_tarski(D, C) <=> m2_orders_2(D, A, B)) ) ) ) ) ) ) ) ).
fof(t43_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m2_orders_1(B, k1_orders_1(u1_struct_0(A)), k6_partfun1(k1_orders_1(u1_struct_0(A)))) =>  ~ (k3_tarski(k4_orders_2(A, B))=k1_xboole_0) ) ) ) ) ).
fof(t44_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m2_orders_1(C, k1_orders_1(u1_struct_0(A)), k6_partfun1(k1_orders_1(u1_struct_0(A)))) =>  (! [D] :  (m2_orders_2(D, A, C) =>  (B=k3_tarski(k4_orders_2(A, C)) =>  (D=k3_tarski(k4_orders_2(A, C)) | m1_orders_2(D, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t45_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m2_orders_1(B, k1_orders_1(u1_struct_0(A)), k6_partfun1(k1_orders_1(u1_struct_0(A)))) => m2_orders_2(k3_tarski(k4_orders_2(A, B)), A, B)) ) ) ) ).
fof(t46_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k1_relat_1(k2_wellord1(u1_orders_2(A), B))=B) ) ) ) ).
fof(t47_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_orders_1(k2_wellord1(u1_orders_2(A), B)) =>  (v6_orders_2(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ).
fof(t48_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( (v6_orders_2(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => v3_orders_1(k2_wellord1(u1_orders_2(A), B))) ) ) ) ).
fof(t49_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (r3_orders_1(u1_orders_2(A), B) =>  (v6_orders_2(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ).
fof(t50_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( (v6_orders_2(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => r3_orders_1(u1_orders_2(A), B)) ) ) ) ).
fof(t51_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (r7_orders_1(u1_orders_2(A), B) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ (r2_orders_2(A, C, B)) ) ) ) ) ) ) ) ).
fof(t52_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (r6_orders_1(u1_orders_2(A), B) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ (r2_orders_2(A, B, C)) ) ) ) ) ) ) ) ).
fof(t53_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (r8_orders_1(u1_orders_2(A), B) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (B=C)  => r2_orders_2(A, C, B)) ) ) ) ) ) ) ) ).
fof(t54_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (r9_orders_1(u1_orders_2(A), B) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (B=C)  => r2_orders_2(A, B, C)) ) ) ) ) ) ) ) ).
fof(t55_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  ~ ( ( (! [B] :  ( (v6_orders_2(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, B) => r3_orders_2(A, D, C)) ) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & r2_orders_2(A, B, C)) ) ) ) ) ) ) ) ).
fof(t56_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  ~ ( ( (! [B] :  ( (v6_orders_2(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, B) => r3_orders_2(A, C, D)) ) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & r2_orders_2(A, C, B)) ) ) ) ) ) ) ) ).
fof(abstractness_v1_orders_2, axiom,  (! [A] :  (l1_orders_2(A) =>  (v1_orders_2(A) => A=g1_orders_2(u1_struct_0(A), u1_orders_2(A))) ) ) ).
fof(dt_l1_orders_2, axiom,  (! [A] :  (l1_orders_2(A) => l1_struct_0(A)) ) ).
fof(existence_l1_orders_2, axiom,  (? [A] : l1_orders_2(A)) ).
fof(dt_g1_orders_2, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (v1_orders_2(g1_orders_2(A, B)) & l1_orders_2(g1_orders_2(A, B))) ) ) ).
fof(free_g1_orders_2, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C, D] :  (g1_orders_2(A, B)=g1_orders_2(C, D) =>  (A=C & B=D) ) ) ) ) ).
fof(dt_u1_orders_2, axiom,  (! [A] :  (l1_orders_2(A) => m1_subset_1(u1_orders_2(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ).
fof(irreflexivity_r2_orders_2, axiom,  (! [A, B, C] :  ( (l1_orders_2(A) &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  ~ (r2_orders_2(A, B, B)) ) ) ).
fof(reflexivity_r3_orders_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => r3_orders_2(A, B, B)) ) ).
fof(redefinition_r3_orders_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r3_orders_2(A, B, C) <=> r1_orders_2(A, B, C)) ) ) ).
fof(dt_k1_orders_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k1_orders_2(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k2_orders_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k2_orders_2(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k3_orders_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k3_orders_2(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_m1_orders_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_orders_2(C, A, B) => m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ).
fof(existence_m1_orders_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (? [C] : m1_orders_2(C, A, B)) ) ) ).
fof(dt_m2_orders_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  & m1_orders_1(B, k6_partfun1(k1_orders_1(u1_struct_0(A)))))  =>  (! [C] :  (m2_orders_2(C, A, B) =>  (v6_orders_2(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ).
fof(existence_m2_orders_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  & m1_orders_1(B, k6_partfun1(k1_orders_1(u1_struct_0(A)))))  =>  (? [C] : m2_orders_2(C, A, B)) ) ) ).
fof(d8_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k1_orders_2(A, B)=a_2_0_orders_2(A, B)) ) ) ) ).
fof(d9_orders_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k2_orders_2(A, B)=a_2_1_orders_2(A, B)) ) ) ) ).
fof(fraenkel_a_2_0_orders_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) & l1_orders_2(B)) ) ) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_0_orders_2(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D &  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (r2_tarski(E, C) => r2_orders_2(B, E, D)) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_orders_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) & l1_orders_2(B)) ) ) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_1_orders_2(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D &  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (r2_tarski(E, C) => r2_orders_2(B, D, E)) ) ) ) ) ) ) ) ) ).
fof(rc1_orders_3, axiom,  (? [A] :  (l1_orders_2(A) &  ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v2_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & v1_orders_3(A)) ) ) ) ) ) ) ) ).
fof(fc1_orders_3, axiom,  (v2_struct_0(g1_orders_2(k1_xboole_0, k6_partfun1(k1_xboole_0))) & v1_orders_2(g1_orders_2(k1_xboole_0, k6_partfun1(k1_xboole_0)))) ).
fof(fc2_orders_3, axiom,  (! [A] :  ( (v2_struct_0(A) & l1_orders_2(A))  => v1_xboole_0(u1_orders_2(A))) ) ).
fof(cc1_orders_3, axiom,  (! [A] :  (l1_orders_2(A) =>  (v2_struct_0(A) => v1_orders_3(A)) ) ) ).
fof(rc2_orders_3, axiom,  (? [A] :  (l1_orders_2(A) &  ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v2_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  ~ (v3_orders_3(A)) ) ) ) ) ) ) ) ) ).
fof(rc3_orders_3, axiom,  (? [A] :  (l1_orders_2(A) &  ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v2_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_orders_3(A) & v3_orders_3(A)) ) ) ) ) ) ) ) ) ).
fof(rc4_orders_3, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v4_orders_3(A)) ) ).
fof(fc3_orders_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  ~ (v1_xboole_0(k1_orders_3(A, A))) ) ) ).
fof(fc4_orders_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_orders_3(A))  =>  ~ (v1_xboole_0(k2_orders_3(A))) ) ) ).
fof(fc5_orders_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) & l1_orders_2(B)) ) ) ) )  => v4_funct_1(k1_orders_3(A, B))) ) ).
fof(fc6_orders_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_orders_3(A))  =>  ( ~ (v2_struct_0(k4_orders_3(A)))  &  (v2_altcat_1(k4_orders_3(A)) & v6_altcat_1(k4_orders_3(A))) ) ) ) ).
fof(fc7_orders_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_orders_3(A))  =>  (v6_altcat_1(k4_orders_3(A)) &  (v11_altcat_1(k4_orders_3(A)) & v12_altcat_1(k4_orders_3(A))) ) ) ) ).
fof(d1_orders_3, axiom,  (! [A] :  (l1_orders_2(A) =>  (v1_orders_3(A) <=> r2_relset_1(u1_struct_0(A), u1_struct_0(A), u1_orders_2(A), k6_partfun1(u1_struct_0(A)))) ) ) ).
fof(d2_orders_3, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_orders_3(B, A) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) &  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (C=k1_xboole_0)  &  ( ~ (D=k1_xboole_0)  &  (B=k4_subset_1(u1_struct_0(A), C, D) &  (r1_xboole_0(C, D) & u1_orders_2(A)=k2_xboole_0(k2_wellord1(u1_orders_2(A), C), k2_wellord1(u1_orders_2(A), D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_orders_3, axiom,  (! [A] :  (l1_orders_2(A) =>  (v3_orders_3(A) <=> v2_orders_3(k2_struct_0(A), A)) ) ) ).
fof(t1_orders_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_orders_3(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_orders_2(A, B, C) <=> B=C) ) ) ) ) ) ) ).
fof(t2_orders_3, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  ( (v1_relat_2(A) &  (v4_relat_2(A) &  (v8_relat_2(A) &  (v1_partfun1(A, k1_tarski(B)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_tarski(B), k1_tarski(B))))) ) ) )  => A=k6_partfun1(k1_tarski(B))) ) ) ) ).
fof(t3_orders_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (v3_orders_2(A) & k2_struct_0(A)=k6_domain_1(u1_struct_0(A), B))  => v1_orders_3(A)) ) ) ) ) ).
fof(t4_orders_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ~ ( (k2_struct_0(A)=k1_tarski(B) & v3_orders_3(A)) ) ) ) ) ).
fof(t5_orders_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_orders_3(A) & l1_orders_2(A)) ) ) ) )  =>  ( ~ ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => B=C) ) ) ) )  => v3_orders_3(A)) ) ) ).
fof(d4_orders_3, axiom,  (! [A] :  (v4_orders_3(A) <=>  (! [B] :  (r2_tarski(B, A) =>  ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) & l1_orders_2(B)) ) ) ) ) ) ) ) ).
fof(d5_orders_3, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (l1_orders_2(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v5_orders_3(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_orders_2(A, D, E) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  ( (F=k1_funct_1(C, D) & G=k1_funct_1(C, E))  => r1_orders_2(B, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_orders_3, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (l1_orders_2(B) =>  (! [C] :  (C=k1_orders_3(A, B) <=>  (! [D] :  (r2_tarski(D, C) <=>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  &  (D=E &  (r2_tarski(E, k1_funct_2(u1_struct_0(A), u1_struct_0(B))) & v5_orders_3(E, A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_orders_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_orders_2(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  ( (r2_tarski(D, k1_orders_3(A, B)) & r2_tarski(E, k1_orders_3(B, C)))  => r2_tarski(k3_relat_1(D, E), k1_orders_3(A, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_orders_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  => r2_tarski(k6_partfun1(u1_struct_0(A)), k1_orders_3(A, A))) ) ).
fof(d7_orders_3, axiom,  (! [A] :  (! [B] :  (B=k2_orders_3(A) <=>  (! [C] :  (r2_tarski(C, B) <=>  (? [D] :  (l1_struct_0(D) &  (r2_tarski(D, A) & C=u1_struct_0(D)) ) ) ) ) ) ) ) ).
fof(t8_orders_3, axiom,  (! [A] :  (l1_struct_0(A) => k2_orders_3(k1_tarski(A))=k1_tarski(u1_struct_0(A))) ) ).
fof(t9_orders_3, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_struct_0(B) => k2_orders_3(k2_tarski(A, B))=k2_tarski(u1_struct_0(A), u1_struct_0(B))) ) ) ) ).
fof(t10_orders_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_orders_3(A))  =>  (! [B] :  (m1_orders_3(B, A) =>  (! [C] :  (m1_orders_3(C, A) => r1_tarski(k1_orders_3(B, C), k1_ens_1(k2_orders_3(A)))) ) ) ) ) ) ).
fof(t11_orders_3, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (l1_orders_2(B) => r1_tarski(k1_orders_3(A, B), k1_funct_2(u1_struct_0(A), u1_struct_0(B)))) ) ) ) ).
fof(d8_orders_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_orders_3(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v1_cat_1(B) &  (v2_cat_1(B) &  (v3_cat_1(B) &  (v4_cat_1(B) &  (v5_cat_1(B) &  (v6_cat_1(B) &  (v1_cat_5(B) & l1_cat_1(B)) ) ) ) ) ) ) ) )  =>  (B=k3_orders_3(A) <=>  (u1_struct_0(B)=A &  ( (! [C] :  (m1_orders_3(C, A) =>  (! [D] :  (m1_orders_3(D, A) =>  (! [E] :  (m1_subset_1(E, k1_ens_1(k2_orders_3(A))) =>  (r2_tarski(E, k1_orders_3(C, D)) => m1_subset_1(k1_domain_1(k2_zfmisc_1(A, A), k1_ens_1(k2_orders_3(A)), k1_domain_1(A, A, C, D), E), u4_struct_0(B))) ) ) ) ) ) )  &  ( (! [C] :  (m1_subset_1(C, u4_struct_0(B)) =>  (? [D] :  (m1_orders_3(D, A) &  (? [E] :  (m1_orders_3(E, A) &  (? [F] :  (m1_subset_1(F, k1_ens_1(k2_orders_3(A))) &  (C=k1_domain_1(k2_zfmisc_1(A, A), k1_ens_1(k2_orders_3(A)), k1_domain_1(A, A, D, E), F) & r2_tarski(F, k1_orders_3(D, E))) ) ) ) ) ) ) ) )  &  (! [C] :  (m1_subset_1(C, u4_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(B)) =>  (! [E] :  (m1_orders_3(E, A) =>  (! [F] :  (m1_orders_3(F, A) =>  (! [G] :  (m1_orders_3(G, A) =>  (! [H] :  (m1_subset_1(H, k1_ens_1(k2_orders_3(A))) =>  (! [I] :  (m1_subset_1(I, k1_ens_1(k2_orders_3(A))) =>  ( (C=k1_domain_1(k2_zfmisc_1(A, A), k1_ens_1(k2_orders_3(A)), k1_domain_1(A, A, E, F), H) & D=k1_domain_1(k2_zfmisc_1(A, A), k1_ens_1(k2_orders_3(A)), k1_domain_1(A, A, F, G), I))  => k1_cat_1(B, C, D)=k4_tarski(k1_domain_1(A, A, E, G), k3_relat_1(H, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_orders_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_orders_3(A))  =>  (! [B] :  ( (v6_altcat_1(B) & l2_altcat_1(B))  =>  (B=k4_orders_3(A) <=>  (u1_struct_0(B)=A &  (! [C] :  (m1_orders_3(C, A) =>  (! [D] :  (m1_orders_3(D, A) =>  (k1_binop_1(u1_altcat_1(B), C, D)=k1_orders_3(C, D) &  (! [E] :  (m1_orders_3(E, A) =>  (! [F] :  (m1_orders_3(F, A) =>  (! [G] :  (m1_orders_3(G, A) => k1_multop_1(u2_altcat_1(B), E, F, G)=k6_altcat_1(k1_orders_3(E, F), k1_orders_3(F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_orders_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_orders_3(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_orders_3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_orders_3(A))) =>  (! [D] :  (m1_orders_3(D, A) =>  (! [E] :  (m1_orders_3(E, A) =>  ( (B=D & C=E)  => r1_tarski(k1_altcat_1(k4_orders_3(A), B, C), k9_funct_2(u1_struct_0(D), u1_struct_0(E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_orders_3, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s1_orders_3) =>  (! [B] :  (m1_subset_1(B, f1_s1_orders_3) =>  (! [C] :  (m1_subset_1(C, f1_s1_orders_3) =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  ( (r2_tarski(D, f2_s1_orders_3(A, B)) & r2_tarski(E, f2_s1_orders_3(B, C)))  => r2_tarski(k3_relat_1(D, E), f2_s1_orders_3(A, C))) ) ) ) ) ) ) ) ) ) )  =>  (? [A] :  ( (v6_altcat_1(A) & l2_altcat_1(A))  &  (u1_struct_0(A)=f1_s1_orders_3 &  (! [B] :  (m1_subset_1(B, f1_s1_orders_3) =>  (! [C] :  (m1_subset_1(C, f1_s1_orders_3) =>  (k1_binop_1(u1_altcat_1(A), B, C)=f2_s1_orders_3(B, C) &  (! [D] :  (m1_subset_1(D, f1_s1_orders_3) =>  (! [E] :  (m1_subset_1(E, f1_s1_orders_3) =>  (! [F] :  (m1_subset_1(F, f1_s1_orders_3) => k1_multop_1(u2_altcat_1(A), D, E, F)=k6_altcat_1(f2_s1_orders_3(D, E), f2_s1_orders_3(E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s2_orders_3, axiom,  (! [A] :  ( (v6_altcat_1(A) & l2_altcat_1(A))  =>  (! [B] :  ( (v6_altcat_1(B) & l2_altcat_1(B))  =>  ( (u1_struct_0(A)=f1_s2_orders_3 &  ( (! [C] :  (m1_subset_1(C, f1_s2_orders_3) =>  (! [D] :  (m1_subset_1(D, f1_s2_orders_3) =>  (k1_binop_1(u1_altcat_1(A), C, D)=f2_s2_orders_3(C, D) &  (! [E] :  (m1_subset_1(E, f1_s2_orders_3) =>  (! [F] :  (m1_subset_1(F, f1_s2_orders_3) =>  (! [G] :  (m1_subset_1(G, f1_s2_orders_3) => k1_multop_1(u2_altcat_1(A), E, F, G)=k6_altcat_1(f2_s2_orders_3(E, F), f2_s2_orders_3(F, G))) ) ) ) ) ) ) ) ) ) )  &  (u1_struct_0(B)=f1_s2_orders_3 &  (! [C] :  (m1_subset_1(C, f1_s2_orders_3) =>  (! [D] :  (m1_subset_1(D, f1_s2_orders_3) =>  (k1_binop_1(u1_altcat_1(B), C, D)=f2_s2_orders_3(C, D) &  (! [E] :  (m1_subset_1(E, f1_s2_orders_3) =>  (! [F] :  (m1_subset_1(F, f1_s2_orders_3) =>  (! [G] :  (m1_subset_1(G, f1_s2_orders_3) => k1_multop_1(u2_altcat_1(B), E, F, G)=k6_altcat_1(f2_s2_orders_3(E, F), f2_s2_orders_3(F, G))) ) ) ) ) ) ) ) ) ) ) ) ) )  => A=B) ) ) ) ) ).
fof(dt_m1_orders_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_orders_3(A))  =>  (! [B] :  (m1_orders_3(B, A) =>  ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) & l1_orders_2(B)) ) ) ) ) ) ) ) ).
fof(existence_m1_orders_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_orders_3(A))  =>  (? [B] : m1_orders_3(B, A)) ) ) ).
fof(redefinition_m1_orders_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_orders_3(A))  =>  (! [B] :  (m1_orders_3(B, A) <=> m1_subset_1(B, A)) ) ) ) ).
fof(dt_k3_orders_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_orders_3(A))  =>  ( ~ (v2_struct_0(k3_orders_3(A)))  &  ( ~ (v11_struct_0(k3_orders_3(A)))  &  (v1_cat_1(k3_orders_3(A)) &  (v2_cat_1(k3_orders_3(A)) &  (v3_cat_1(k3_orders_3(A)) &  (v4_cat_1(k3_orders_3(A)) &  (v5_cat_1(k3_orders_3(A)) &  (v6_cat_1(k3_orders_3(A)) &  (v1_cat_5(k3_orders_3(A)) & l1_cat_1(k3_orders_3(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_f1_s1_orders_3, axiom,  ~ (v1_xboole_0(f1_s1_orders_3)) ).
fof(dt_f2_s1_orders_3, axiom,  (! [A, B] : v4_funct_1(f2_s1_orders_3(A, B))) ).
fof(dt_f1_s2_orders_3, axiom,  ~ (v1_xboole_0(f1_s2_orders_3)) ).
fof(dt_f2_s2_orders_3, axiom,  (! [A, B] : v4_funct_1(f2_s2_orders_3(A, B))) ).
fof(dt_k4_orders_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_orders_3(A))  =>  (v6_altcat_1(k4_orders_3(A)) & l2_altcat_1(k4_orders_3(A))) ) ) ).
fof(cc1_orders_4, axiom,  (! [A] :  (l1_orders_2(A) =>  (v2_struct_0(A) =>  (v3_orders_2(A) &  (v4_orders_2(A) & v5_orders_2(A)) ) ) ) ) ).
fof(cc2_orders_4, axiom,  (! [A] :  (m1_orders_4(A) =>  (v3_orders_2(A) &  (v4_orders_2(A) & v5_orders_2(A)) ) ) ) ).
fof(rc1_orders_4, axiom,  (? [A] :  (m1_orders_4(A) &  ( ~ (v2_struct_0(A))  &  (v2_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) & v5_orders_2(A)) ) ) ) ) ) ).
fof(cc3_orders_4, axiom,  (! [A] :  (m1_orders_4(A) =>  ( ~ (v2_struct_0(A))  =>  ( ~ (v2_struct_0(A))  & v16_waybel_0(A)) ) ) ) ).
fof(rc2_orders_4, axiom,  (? [A] :  (m1_orders_4(A) &  ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) & v5_orders_2(A)) ) ) ) ) ) ) ).
fof(rc3_orders_4, axiom,  (? [A] :  (m1_orders_4(A) &  (v2_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & v1_orders_4(A)) ) ) ) ) ) ).
fof(cc4_orders_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v16_waybel_0(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_yellow_0(B, A) =>  ( ( ~ (v2_struct_0(B))  & v4_yellow_0(B, A))  =>  ( ~ (v2_struct_0(B))  & v16_waybel_0(B)) ) ) ) ) ) ).
fof(cc5_orders_4, axiom,  (! [A] :  ( (v8_struct_0(A) & l1_orders_2(A))  =>  (! [B] :  (m1_yellow_0(B, A) => v8_struct_0(B)) ) ) ) ).
fof(d1_orders_4, axiom,  (! [A] :  (l1_orders_2(A) =>  (m1_orders_4(A) <=>  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & l1_orders_2(A)) ) ) ) )  | v2_struct_0(A)) ) ) ) ).
fof(d2_orders_4, axiom,  (! [A] :  (l1_struct_0(A) =>  (v1_orders_4(A) <=> v4_card_3(u1_struct_0(A))) ) ) ).
fof(t1_orders_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(A, B) =>  (v4_yellow_0(k1_yellow_1(A), k1_yellow_1(B)) & m1_yellow_0(k1_yellow_1(A), k1_yellow_1(B))) ) ) ) ) ) ).
fof(d3_orders_4, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (! [C] :  (r1_orders_4(A, B, C) <=>  (k2_xboole_0(B, C)=u1_struct_0(A) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r2_tarski(D, B) & r2_tarski(E, C))  => r2_orders_2(A, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_orders_4, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (! [C] :  (r1_orders_4(A, B, C) => r1_xboole_0(B, C)) ) ) ) ) ).
fof(t3_orders_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_orders_2(A) &  (v2_yellow_0(A) & l1_orders_2(A)) ) )  => r1_orders_4(A, k6_subset_1(u1_struct_0(A), k6_domain_1(u1_struct_0(A), k4_yellow_0(A))), k6_domain_1(u1_struct_0(A), k4_yellow_0(A)))) ) ).
fof(t4_orders_4, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (l1_orders_2(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v23_waybel_0(C, A, B) =>  ( ~ ( ( ~ (u1_struct_0(A)=k1_xboole_0)  & u1_struct_0(B)=k1_xboole_0) )  &  ( ~ ( ( ~ (u1_struct_0(B)=k1_xboole_0)  & u1_struct_0(A)=k1_xboole_0) )  &  ( ~ ( (u1_struct_0(B)=k1_xboole_0 &  ~ (u1_struct_0(A)=k1_xboole_0) ) )  &  ( (u1_struct_0(A)=k1_xboole_0 => u1_struct_0(B)=k1_xboole_0)  &  (u1_struct_0(B)=k1_xboole_0 => u1_struct_0(A)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_orders_4, axiom,  (! [A] :  ( (v5_orders_2(A) & l1_orders_2(A))  =>  (! [B] :  ( (v5_orders_2(B) & l1_orders_2(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_orders_4(A, C, D) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(B))) =>  (r1_orders_4(B, E, F) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(k5_yellow_0(A, C)), u1_struct_0(k5_yellow_0(B, E))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_yellow_0(A, C)), u1_struct_0(k5_yellow_0(B, E)))))) )  =>  (v23_waybel_0(G, k5_yellow_0(A, C), k5_yellow_0(B, E)) =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(k5_yellow_0(A, D)), u1_struct_0(k5_yellow_0(B, F))) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_yellow_0(A, D)), u1_struct_0(k5_yellow_0(B, F)))))) )  =>  ~ ( (v23_waybel_0(H, k5_yellow_0(A, D), k5_yellow_0(B, F)) &  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ~ ( (I=k1_funct_4(G, H) & v23_waybel_0(I, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_orders_4, axiom,  (! [A] :  ( (v8_struct_0(A) & m1_orders_4(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (k4_card_1(u1_struct_0(A))=B => r5_waybel_1(A, k1_yellow_1(B))) ) ) ) ) ).
fof(dt_m1_orders_4, axiom,  (! [A] :  (m1_orders_4(A) => l1_orders_2(A)) ) ).
fof(existence_m1_orders_4, axiom,  (? [A] : m1_orders_4(A)) ).
fof(cc1_orders_5, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  ( (v1_relat_1(C) & v4_relat_1(C, B))  =>  (v1_relat_1(C) & v4_relat_1(C, A)) ) ) ) ) ).
fof(fc1_orders_5, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  & m1_subset_1(B, k1_zfmisc_1(k4_finseq_1(A))))  =>  (v1_relat_1(k3_relat_1(k14_finseq_1(B), A)) & v1_finseq_1(k3_relat_1(k14_finseq_1(B), A))) ) ) ).
fof(fc2_orders_5, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_xboole_0(C))  &  (m1_finseq_1(D, B) &  (v1_funct_1(E) &  (v1_funct_2(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, C)))) ) ) ) )  =>  (v1_relat_1(k3_relat_1(D, E)) & v1_finseq_1(k3_relat_1(D, E))) ) ) ).
fof(fc3_orders_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(k3_relat_1(k1_finseq_2(k3_finseq_1(A)), A)) & v1_finseq_1(k3_relat_1(k1_finseq_2(k3_finseq_1(A)), A))) ) ) ).
fof(rd1_orders_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k3_finseq_5(k3_finseq_5(A))=A) ) ).
fof(rc1_orders_5, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_finset_1(B)) ) ) ).
fof(cc2_orders_5, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  (m1_eqrel_1(B, A) => v1_xboole_0(B)) ) ) ) ).
fof(rc2_orders_5, axiom,  (! [A] :  (v1_xboole_0(A) =>  (? [B] :  (m1_eqrel_1(B, A) &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v3_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k3_numbers) &  (v1_xboole_0(B) &  (v1_zfmisc_1(B) &  (v1_subset_1(B, k1_zfmisc_1(A)) &  (v1_ordinal1(B) &  (v2_ordinal1(B) &  (v3_ordinal1(B) &  (v5_ordinal1(B) &  (v6_ordinal1(B) &  (v7_ordinal1(B) &  (v8_ordinal1(B) &  (v9_ordinal1(B) &  ( ~ (v10_ordinal1(B))  &  (v1_xcmplx_0(B) &  (v1_xreal_0(B) &  (v1_funct_1(B) &  (v2_funct_1(B) &  (v3_funct_1(B) &  (v4_funct_1(B) &  (v1_finset_1(B) &  (v2_finset_1(B) &  (v5_finset_1(B) &  (v1_card_1(B) &  (v3_card_1(B, k5_ordinal1) &  (v1_finseq_1(B) &  (v2_finseq_1(B) &  (v3_finseq_1(B) &  (v1_xxreal_0(B) &  ( ~ (v2_xxreal_0(B))  &  ( ~ (v3_xxreal_0(B))  &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) &  (v4_valued_0(B) &  (v5_valued_0(B) &  (v6_valued_0(B) &  (v7_valued_0(B) &  (v8_valued_0(B) &  (v1_membered(B) &  (v2_membered(B) &  (v3_membered(B) &  (v4_membered(B) &  (v5_membered(B) &  (v6_membered(B) &  (v7_membered(B) &  (v1_funcop_1(B) &  (v1_relat_2(B) &  (v2_relat_2(B) &  (v3_relat_2(B) &  (v4_relat_2(B) &  (v5_relat_2(B) &  (v6_relat_2(B) &  (v7_relat_2(B) &  (v8_relat_2(B) &  (v1_pre_poly(B) &  (v2_pre_poly(B) & v1_setfam_1(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc4_orders_5, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v1_funct_1(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v1_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  =>  (v1_relat_1(k3_relat_1(B, C)) & v1_partfun3(k3_relat_1(B, C))) ) ) ).
fof(fc5_orders_5, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v1_funct_1(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v2_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  =>  (v1_relat_1(k3_relat_1(B, C)) & v2_partfun3(k3_relat_1(B, C))) ) ) ).
fof(fc6_orders_5, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v1_funct_1(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v3_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  =>  (v1_relat_1(k3_relat_1(B, C)) & v3_partfun3(k3_relat_1(B, C))) ) ) ).
fof(fc7_orders_5, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v1_funct_1(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v4_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  =>  (v1_relat_1(k3_relat_1(B, C)) & v4_partfun3(k3_relat_1(B, C))) ) ) ).
fof(rc3_orders_5, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k1_numbers) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_funct_2(B, A, k1_numbers) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) &  (v4_partfun3(B) & v2_pre_poly(B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc4_orders_5, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k2_numbers) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_funct_2(B, A, k2_numbers) &  (v1_valued_0(B) &  (v4_partfun3(B) & v2_pre_poly(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc8_orders_5, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k2_numbers) &  (v2_pre_poly(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) ) )  =>  (v1_relat_1(k30_valued_1(B)) &  (v1_funct_1(k30_valued_1(B)) &  (v1_valued_0(k30_valued_1(B)) & v2_pre_poly(k30_valued_1(B))) ) ) ) ) ).
fof(fc9_orders_5, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) &  (v2_pre_poly(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k30_valued_1(B)) &  (v1_funct_1(k30_valued_1(B)) &  (v1_valued_0(k30_valued_1(B)) & v2_pre_poly(k30_valued_1(B))) ) ) ) ) ).
fof(rc5_orders_5, axiom,  (? [A] :  (l1_orders_2(A) &  ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v2_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_orders_5(A) & v2_orders_5(A)) ) ) ) ) ) ) ) ) ).
fof(cc3_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  (v2_orders_5(A) =>  (v3_orders_2(A) & v1_orders_5(A)) ) ) ) ).
fof(cc4_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  ( (v3_orders_2(A) & v1_orders_5(A))  => v2_orders_5(A)) ) ) ).
fof(cc5_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  (v2_struct_0(A) =>  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_orders_5(A) & v2_orders_5(A)) ) ) ) ) ) ) ).
fof(cc6_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  ( (v3_orders_2(A) & v4_orders_2(A))  =>  (v3_orders_2(A) &  (v4_orders_2(A) & v3_dickson(A)) ) ) ) ) ).
fof(rc6_orders_5, axiom,  (? [A] :  (l1_orders_2(A) &  (v2_struct_0(A) &  (v2_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v3_dickson(A) &  (v1_orders_5(A) & v2_orders_5(A)) ) ) ) ) ) ) ) ) ).
fof(fc10_orders_5, axiom,  (! [A] :  ( (v2_struct_0(A) &  (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) ) )  =>  (v1_xboole_0(k4_orders_5(A)) &  (v1_partfun1(k4_orders_5(A), u1_struct_0(A)) &  (v3_relat_2(k4_orders_5(A)) & v8_relat_2(k4_orders_5(A))) ) ) ) ) ).
fof(fc11_orders_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) ) )  =>  ( ~ (v1_xboole_0(k4_orders_5(A)))  &  (v1_partfun1(k4_orders_5(A), u1_struct_0(A)) &  (v3_relat_2(k4_orders_5(A)) & v8_relat_2(k4_orders_5(A))) ) ) ) ) ).
fof(fc12_orders_5, axiom,  (! [A] :  ( (v2_struct_0(A) &  (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) ) )  =>  (v2_struct_0(k5_orders_5(A)) & v1_orders_2(k5_orders_5(A))) ) ) ).
fof(fc13_orders_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) ) )  =>  ( ~ (v2_struct_0(k5_orders_5(A)))  & v1_orders_2(k5_orders_5(A))) ) ) ).
fof(fc14_orders_5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) )  =>  (v1_orders_2(k5_orders_5(A)) &  (v2_orders_2(k5_orders_5(A)) &  (v3_orders_2(k5_orders_5(A)) &  (v4_orders_2(k5_orders_5(A)) & v5_orders_2(k5_orders_5(A))) ) ) ) ) ) ).
fof(fc15_orders_5, axiom,  (! [A] :  ( (v4_orders_2(A) &  (v2_orders_5(A) & l1_orders_2(A)) )  =>  (v1_orders_2(k5_orders_5(A)) &  (v1_orders_5(k5_orders_5(A)) & v2_orders_5(k5_orders_5(A))) ) ) ) ).
fof(fc16_orders_5, axiom,  (! [A] :  ( (v2_struct_0(A) &  (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) ) )  =>  (v1_xboole_0(k6_orders_5(A)) &  (v1_funct_1(k6_orders_5(A)) & v1_funct_2(k6_orders_5(A), u1_struct_0(A), u1_struct_0(k5_orders_5(A)))) ) ) ) ).
fof(fc17_orders_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) ) )  =>  ( ~ (v1_xboole_0(k6_orders_5(A)))  &  (v1_funct_1(k6_orders_5(A)) & v1_funct_2(k6_orders_5(A), u1_struct_0(A), u1_struct_0(k5_orders_5(A)))) ) ) ) ).
fof(fc18_orders_5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) )  =>  (v1_partfun1(k4_orders_5(A), u1_struct_0(A)) &  (v3_relat_2(k4_orders_5(A)) &  (v8_relat_2(k4_orders_5(A)) & v3_orders_5(k4_orders_5(A), A)) ) ) ) ) ).
fof(rc7_orders_5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_partfun1(B, u1_struct_0(A)) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v1_relat_2(B) &  (v3_relat_2(B) &  (v8_relat_2(B) & v3_orders_5(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc19_orders_5, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_eqrel_1(B, A))  =>  ( ~ (v2_struct_0(k8_orders_5(A, B)))  & v1_orders_2(k8_orders_5(A, B))) ) ) ).
fof(fc20_orders_5, axiom,  (! [A, B] :  (m1_eqrel_1(B, A) =>  (v1_orders_2(k8_orders_5(A, B)) &  (v3_orders_2(k8_orders_5(A, B)) & v4_orders_2(k8_orders_5(A, B))) ) ) ) ).
fof(fc21_orders_5, axiom,  (! [A, B] :  (m1_eqrel_1(B, A) =>  (v1_orders_2(k8_orders_5(A, B)) & v1_necklace(k8_orders_5(A, B))) ) ) ).
fof(fc22_orders_5, axiom,  (! [A, B, C, D] :  ( (m1_eqrel_1(B, A) &  ( (v1_relat_1(C) &  (v1_funct_1(C) & v2_pre_poly(C)) )  & m1_subset_1(D, B)) )  => v1_finset_1(k9_orders_5(A, B, D, C))) ) ).
fof(fc23_orders_5, axiom,  (! [A, B, C] :  ( ( (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) )  &  ( (v1_relat_1(B) &  (v1_funct_1(B) & v2_pre_poly(B)) )  & m1_subset_1(C, u1_struct_0(k5_orders_5(A)))) )  => v1_finset_1(k10_orders_5(A, C, B))) ) ).
fof(fc24_orders_5, axiom,  (! [A, B, C] :  ( ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) )  &  (m1_subset_1(B, u1_struct_0(k5_orders_5(A))) &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) &  (v2_pre_poly(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) )  => v1_zfmisc_1(k10_orders_5(A, B, C))) ) ).
fof(fc25_orders_5, axiom,  (! [A, B] :  ( ( (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) )  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v4_partfun3(B) &  (v2_pre_poly(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) )  =>  (v1_funct_1(k12_orders_5(A, B)) &  (v1_funct_2(k12_orders_5(A, B), u1_struct_0(k5_orders_5(A)), k1_numbers) & v4_partfun3(k12_orders_5(A, B))) ) ) ) ).
fof(fc26_orders_5, axiom,  (! [A, B, C] :  ( (m1_eqrel_1(B, A) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v4_partfun3(C) &  (v2_pre_poly(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) )  =>  (v1_funct_1(k11_orders_5(A, B, C)) &  (v1_funct_2(k11_orders_5(A, B, C), B, k1_numbers) & v4_partfun3(k11_orders_5(A, B, C))) ) ) ) ).
fof(fc27_orders_5, axiom,  (! [A, B] :  ( ( (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) )  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_pre_poly(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) )  =>  (v1_funct_1(k12_orders_5(A, B)) &  (v1_funct_2(k12_orders_5(A, B), u1_struct_0(k5_orders_5(A)), k1_numbers) & v2_pre_poly(k12_orders_5(A, B))) ) ) ) ).
fof(fc28_orders_5, axiom,  (! [A, B, C] :  ( (m1_eqrel_1(B, A) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v2_pre_poly(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  =>  (v1_funct_1(k11_orders_5(A, B, C)) &  (v1_funct_2(k11_orders_5(A, B, C), B, k1_numbers) & v2_pre_poly(k11_orders_5(A, B, C))) ) ) ) ).
fof(cc7_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_finseq_1(B, u1_struct_0(A)) =>  (v5_orders_5(B, A) => v4_orders_5(B, A)) ) ) ) ) ).
fof(cc8_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_finseq_1(B, u1_struct_0(A)) =>  (v7_orders_5(B, A) => v6_orders_5(B, A)) ) ) ) ) ).
fof(cc9_orders_5, axiom,  (! [A] :  ( (v5_orders_2(A) & l1_orders_2(A))  =>  (! [B] :  (m1_finseq_1(B, u1_struct_0(A)) =>  ( (v2_funct_1(B) & v4_orders_5(B, A))  => v5_orders_5(B, A)) ) ) ) ) ).
fof(cc10_orders_5, axiom,  (! [A] :  ( (v5_orders_2(A) & l1_orders_2(A))  =>  (! [B] :  (m1_finseq_1(B, u1_struct_0(A)) =>  ( (v2_funct_1(B) & v6_orders_5(B, A))  => v7_orders_5(B, A)) ) ) ) ) ).
fof(cc11_orders_5, axiom,  (! [A] :  ( (v5_orders_2(A) & l1_orders_2(A))  =>  (! [B] :  (m1_finseq_1(B, u1_struct_0(A)) =>  ( (v4_orders_5(B, A) & v6_orders_5(B, A))  => v3_funct_1(B)) ) ) ) ) ).
fof(cc12_orders_5, axiom,  (! [A] :  ( (v3_orders_2(A) & l1_orders_2(A))  =>  (! [B] :  (m1_finseq_1(B, u1_struct_0(A)) =>  (v3_funct_1(B) =>  (v4_orders_5(B, A) & v6_orders_5(B, A)) ) ) ) ) ) ).
fof(fc29_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  (v4_orders_5(k6_finseq_1(u1_struct_0(A)), A) &  (v5_orders_5(k6_finseq_1(u1_struct_0(A)), A) &  (v6_orders_5(k6_finseq_1(u1_struct_0(A)), A) & v7_orders_5(k6_finseq_1(u1_struct_0(A)), A)) ) ) ) ) ).
fof(rc8_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  (? [B] :  (m1_finseq_1(B, u1_struct_0(A)) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_xboole_0(B) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) &  (v2_pre_poly(B) &  (v4_orders_5(B, A) &  (v5_orders_5(B, A) &  (v6_orders_5(B, A) & v7_orders_5(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc30_orders_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  & m1_subset_1(B, u1_struct_0(A)))  =>  (v4_orders_5(k5_finseq_1(B), A) &  (v5_orders_5(k5_finseq_1(B), A) &  (v6_orders_5(k5_finseq_1(B), A) & v7_orders_5(k5_finseq_1(B), A)) ) ) ) ) ).
fof(rc9_orders_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (? [B] :  (m1_finseq_1(B, u1_struct_0(A)) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v2_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) &  (v2_pre_poly(B) &  (v4_orders_5(B, A) &  (v5_orders_5(B, A) &  (v6_orders_5(B, A) & v7_orders_5(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc13_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_finseq_1(B, u1_struct_0(A)) =>  (v8_orders_5(B, A) =>  (v2_funct_1(B) & v4_orders_5(B, A)) ) ) ) ) ) ).
fof(cc14_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_finseq_1(B, u1_struct_0(A)) =>  ( (v2_funct_1(B) & v4_orders_5(B, A))  => v8_orders_5(B, A)) ) ) ) ) ).
fof(cc15_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_finseq_1(B, u1_struct_0(A)) =>  (v9_orders_5(B, A) =>  (v2_funct_1(B) & v6_orders_5(B, A)) ) ) ) ) ) ).
fof(cc16_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_finseq_1(B, u1_struct_0(A)) =>  ( (v2_funct_1(B) & v6_orders_5(B, A))  => v9_orders_5(B, A)) ) ) ) ) ).
fof(cc17_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_finseq_1(B, u1_struct_0(A)) =>  (v5_orders_5(B, A) => v8_orders_5(B, A)) ) ) ) ) ).
fof(cc18_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_finseq_1(B, u1_struct_0(A)) =>  (v7_orders_5(B, A) => v9_orders_5(B, A)) ) ) ) ) ).
fof(cc19_orders_5, axiom,  (! [A, B] :  ( (l1_orders_2(A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_finseq_1(C, u1_struct_0(A)) =>  (v10_orders_5(C, A, B) => v8_orders_5(C, A)) ) ) ) ) ).
fof(cc20_orders_5, axiom,  (! [A, B] :  ( (l1_orders_2(A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_finseq_1(C, u1_struct_0(A)) =>  (v11_orders_5(C, A, B) => v9_orders_5(C, A)) ) ) ) ) ).
fof(cc21_orders_5, axiom,  (! [A, B] :  ( (l1_orders_2(A) &  (v1_xboole_0(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [C] :  (m1_finseq_1(C, u1_struct_0(A)) =>  (v10_orders_5(C, A, B) => v1_xboole_0(C)) ) ) ) ) ).
fof(cc22_orders_5, axiom,  (! [A, B] :  ( (l1_orders_2(A) &  (v1_xboole_0(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [C] :  (m1_finseq_1(C, u1_struct_0(A)) =>  (v11_orders_5(C, A, B) => v1_xboole_0(C)) ) ) ) ) ).
fof(cc23_orders_5, axiom,  (! [A] :  ( (v5_orders_2(A) & l1_orders_2(A))  =>  (! [B] :  (m1_finseq_1(B, u1_struct_0(A)) =>  (v8_orders_5(B, A) => v5_orders_5(B, A)) ) ) ) ) ).
fof(cc24_orders_5, axiom,  (! [A] :  ( (v5_orders_2(A) & l1_orders_2(A))  =>  (! [B] :  (m1_finseq_1(B, u1_struct_0(A)) =>  (v9_orders_5(B, A) => v7_orders_5(B, A)) ) ) ) ) ).
fof(fc31_orders_5, axiom,  (! [A, B] :  ( ( (v4_orders_2(A) &  (v5_orders_2(A) &  (v2_orders_5(A) & l1_orders_2(A)) ) )  &  (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v10_orders_5(k7_pre_poly(u1_struct_0(A), B, u1_orders_2(A)), A, B)) ) ).
fof(rc10_orders_5, axiom,  (! [A, B] :  ( ( (v4_orders_2(A) &  (v1_orders_5(A) & l1_orders_2(A)) )  &  (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (? [C] :  (m1_finseq_1(C, u1_struct_0(A)) &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_finseq_1(C) &  (v2_finseq_1(C) &  (v2_pre_poly(C) & v10_orders_5(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc11_orders_5, axiom,  (! [A, B] :  ( ( (v4_orders_2(A) &  (v1_orders_5(A) & l1_orders_2(A)) )  &  (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (? [C] :  (m1_finseq_1(C, u1_struct_0(A)) &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_finseq_1(C) &  (v2_finseq_1(C) &  (v2_pre_poly(C) & v11_orders_5(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_orders_5, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (A=k6_subset_1(B, k1_tarski(C)) & r2_hidden(C, B))  => k6_subset_1(B, A)=k1_tarski(C)) ) ) ) ).
fof(t2_orders_5, axiom,  (! [A] :  (! [B] :  ( (r2_hidden(B, A) & k1_card_1(A)=1)  => k1_tarski(B)=A) ) ) ).
fof(t3_orders_5, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (r1_tarski(A, k2_finseq_1(B)) => r1_tarski(k1_rvsum_1(k14_finseq_1(A)), k2_finseq_1(B))) ) ) ) ).
fof(t4_orders_5, axiom,  (! [A] :  (! [B] :  ( (v1_partfun1(B, A) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(A)))  =>  (! [D] :  (C=k1_tarski(D) => k7_pre_poly(A, C, B)=k9_finseq_1(D)) ) ) ) ) ) ) ).
fof(t5_orders_5, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  ~ ( ( ~ (k18_rvsum_1(A)=k5_numbers)  &  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r2_tarski(B, k4_finseq_1(A)) &  ~ (k1_funct_1(A, B)=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(t6_orders_5, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  ~ ( (v4_partfun3(A) &  ( (? [B] :  (v7_ordinal1(B) &  (r2_tarski(B, k4_finseq_1(A)) &  ~ (k1_funct_1(A, B)=k5_numbers) ) ) )  & r1_xxreal_0(k18_rvsum_1(A), k5_numbers)) ) ) ) ) ).
fof(t7_orders_5, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  ~ ( (v3_partfun3(A) &  ( (? [B] :  (v7_ordinal1(B) &  (r2_tarski(B, k4_finseq_1(A)) &  ~ (k1_funct_1(A, B)=k5_numbers) ) ) )  & r1_xxreal_0(k5_numbers, k18_rvsum_1(A))) ) ) ) ) ).
fof(t8_orders_5, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  ( (v2_funct_1(B) &  (v2_funct_1(C) &  (r1_tarski(k10_xtuple_0(C), k10_xtuple_0(B)) &  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, k6_subset_1(k10_xtuple_0(B), k10_xtuple_0(C))) => k1_funct_1(D, E)=k5_numbers) ) ) ) ) )  => k18_rvsum_1(k4_finseqop(A, k1_numbers, B, D))=k18_rvsum_1(k4_finseqop(A, k1_numbers, C, D))) ) ) ) ) ) ) ) ).
fof(t9_orders_5, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) )  => k2_orders_5(B)=k2_orders_5(k31_valued_1(A, k2_numbers, B))) ) ) ).
fof(t10_orders_5, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (r2_relat_2(B, A) => r2_relat_2(B, C)) ) ) ) ) ) ).
fof(t11_orders_5, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (r3_relat_2(B, A) => r3_relat_2(B, C)) ) ) ) ) ) ).
fof(t12_orders_5, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (r5_relat_2(B, A) => r5_relat_2(B, C)) ) ) ) ) ) ).
fof(d1_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  (v1_orders_5(A) <=> r6_relat_2(u1_orders_2(A), u1_struct_0(A))) ) ) ).
fof(d2_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  (v2_orders_5(A) <=> r7_relat_2(u1_orders_2(A), u1_struct_0(A))) ) ) ).
fof(d3_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_orders_5(A, B, C) <=>  (r1_orders_2(A, B, C) & r1_orders_2(A, C, B)) ) ) ) ) ) ) ) ).
fof(t13_orders_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_orders_5(A, B, B)) ) ) ) ).
fof(d4_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_orders_5(A, B, C) <=>  (r1_orders_2(A, B, C) &  ~ (r1_orders_2(A, C, B)) ) ) ) ) ) ) ) ) ).
fof(t14_orders_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (v2_orders_5(A) &  ( ~ (r3_orders_5(A, B, C))  &  ( ~ (r1_orders_5(A, B, C))  &  ~ (r3_orders_5(A, C, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_orders_5, axiom,  (! [A] :  ( (v4_orders_2(A) & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ( (r3_orders_5(A, B, C) & r1_orders_2(A, C, D))  => r3_orders_5(A, B, D))  &  ( (r1_orders_2(A, B, C) & r3_orders_5(A, C, D))  => r3_orders_5(A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t16_orders_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (v2_orders_5(A) &  ( ~ (r1_orders_2(A, B, C))  &  ~ (r1_orders_2(A, C, B)) ) ) ) ) ) ) ) ) ) ).
fof(t17_orders_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r6_relat_2(u1_orders_2(A), B) &  (r2_tarski(C, B) &  (r2_tarski(D, B) &  ( ~ (C=D)  &  ( ~ (r1_orders_2(A, C, D))  &  ~ (r1_orders_2(A, D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_orders_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (v1_orders_5(A) &  ( ~ (B=C)  &  ( ~ (r1_orders_2(A, B, C))  &  ~ (r1_orders_2(A, C, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_orders_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (v2_orders_5(A) &  ( ~ (B=C)  &  ( ~ (r2_orders_2(A, B, C))  &  ~ (r2_orders_2(A, C, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_orders_2(A, B, C) =>  (r2_tarski(B, u1_struct_0(A)) & r2_tarski(C, u1_struct_0(A))) ) ) ) ) ) ) ) ).
fof(t21_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r1_orders_2(A, B, C) & v2_struct_0(A)) ) ) ) ) ) ) ) ).
fof(t22_orders_5, axiom,  (! [A] :  ( (v4_orders_2(A) & l1_orders_2(A))  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( ( ~ (v1_xboole_0(B))  &  (r6_relat_2(u1_orders_2(A), B) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r2_tarski(C, B) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, B) =>  (C=D | r1_orders_2(A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_orders_5, axiom,  (! [A] :  ( (v4_orders_2(A) &  (v1_orders_5(A) & l1_orders_2(A)) )  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( ( ~ (v1_xboole_0(B))  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r2_tarski(C, B) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, B) =>  (C=D | r1_orders_2(A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_orders_5, axiom,  (! [A] :  ( (v4_orders_2(A) & l1_orders_2(A))  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( ( ~ (v1_xboole_0(B))  &  (r6_relat_2(u1_orders_2(A), B) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r2_tarski(C, B) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, B) =>  (C=D | r1_orders_2(A, D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_orders_5, axiom,  (! [A] :  ( (v4_orders_2(A) &  (v1_orders_5(A) & l1_orders_2(A)) )  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( ( ~ (v1_xboole_0(B))  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r2_tarski(C, B) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, B) =>  (C=D | r1_orders_2(A, D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_orders_5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) )  => r1_orders_1(u1_orders_2(A), u1_struct_0(A))) ) ).
fof(t27_orders_5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) )  => r2_orders_1(u1_orders_2(A), u1_struct_0(A))) ) ).
fof(t28_orders_5, axiom,  (! [A] :  ( (v4_orders_2(A) &  (v5_orders_2(A) &  (v2_orders_5(A) & l1_orders_2(A)) ) )  => r3_orders_1(u1_orders_2(A), u1_struct_0(A))) ) ).
fof(t29_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  (r1_orders_1(u1_orders_2(A), u1_struct_0(A)) =>  (v3_orders_2(A) & v4_orders_2(A)) ) ) ) ).
fof(t30_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  (r2_orders_1(u1_orders_2(A), u1_struct_0(A)) =>  (v3_orders_2(A) &  (v4_orders_2(A) & v5_orders_2(A)) ) ) ) ) ).
fof(t31_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  (r3_orders_1(u1_orders_2(A), u1_struct_0(A)) =>  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & v1_orders_5(A)) ) ) ) ) ) ).
fof(d5_orders_5, axiom,  (! [A] :  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  ( (v1_partfun1(C, A) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (C=k3_orders_5(A, B) <=> B=k8_eqrel_1(A, C)) ) ) ) ) ) ).
fof(d6_orders_5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  ( (v1_partfun1(B, u1_struct_0(A)) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (B=k4_orders_5(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_hidden(k4_tarski(C, D), B) <=>  (r1_orders_2(A, C, D) & r1_orders_2(A, D, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_orders_5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) )  => r2_relset_1(u1_struct_0(A), u1_struct_0(A), k4_orders_5(A), k1_dickson(A))) ) ).
fof(t33_orders_5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) )  => r2_relset_1(u1_struct_0(A), u1_struct_0(A), k4_orders_5(A), k6_partfun1(u1_struct_0(A)))) ) ).
fof(d7_orders_5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  ( (v1_orders_2(B) & l1_orders_2(B))  =>  (B=k5_orders_5(A) <=>  (u1_struct_0(B)=k8_eqrel_1(u1_struct_0(A), k4_orders_5(A)) &  (! [C] :  (m1_subset_1(C, k8_eqrel_1(u1_struct_0(A), k4_orders_5(A))) =>  (! [D] :  (m1_subset_1(D, k8_eqrel_1(u1_struct_0(A), k4_orders_5(A))) =>  (r2_hidden(k4_tarski(C, D), u1_orders_2(B)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (C=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k4_orders_5(A), E) &  (D=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k4_orders_5(A), F) & r1_orders_2(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_orders_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r2_tarski(k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k4_orders_5(A), B), u1_struct_0(k5_orders_5(A)))) ) ) ) ).
fof(t35_orders_5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) )  => u1_orders_2(k5_orders_5(A))=k2_dickson(A)) ) ).
fof(d8_orders_5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k5_orders_5(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k5_orders_5(A)))))) )  =>  (B=k6_orders_5(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_funct_1(B, C)=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k4_orders_5(A), C)) ) ) ) ) ) ) ).
fof(t36_orders_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_orders_2(A, B, C) => r3_orders_2(k5_orders_5(A), k3_funct_2(u1_struct_0(A), u1_struct_0(k5_orders_5(A)), k6_orders_5(A), B), k3_funct_2(u1_struct_0(A), u1_struct_0(k5_orders_5(A)), k6_orders_5(A), C))) ) ) ) ) ) ) ).
fof(t37_orders_5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_orders_5(A, B, C) => k1_funct_1(k6_orders_5(A), B)=k1_funct_1(k6_orders_5(A), C)) ) ) ) ) ) ) ).
fof(d9_orders_5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  ( (v1_partfun1(B, u1_struct_0(A)) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (v3_orders_5(B, A) <=> r2_relset_1(u1_struct_0(A), u1_struct_0(A), B, k4_orders_5(A))) ) ) ) ) ).
fof(t38_orders_5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) )  => m1_eqrel_1(u1_struct_0(k5_orders_5(A)), u1_struct_0(A))) ) ).
fof(t39_orders_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_eqrel_1(B, u1_struct_0(A)))  =>  (B=u1_struct_0(k5_orders_5(A)) => r1_funct_2(u1_struct_0(A), u1_struct_0(k5_orders_5(A)), u1_struct_0(A), B, k6_orders_5(A), k14_eqrel_1(u1_struct_0(A), B))) ) ) ) ) ).
fof(d10_orders_5, axiom,  (! [A] :  (! [B] :  (m1_eqrel_1(B, A) => k8_orders_5(A, B)=g1_orders_2(A, k3_orders_5(A, B))) ) ) ).
fof(t40_orders_5, axiom,  (! [A] :  (! [B] :  (m1_eqrel_1(B, A) => k3_orders_5(A, B)=k4_orders_5(k8_orders_5(A, B))) ) ) ).
fof(t41_orders_5, axiom,  (! [A] :  (! [B] :  (m1_eqrel_1(B, A) => B=k8_eqrel_1(u1_struct_0(k8_orders_5(A, B)), k4_orders_5(k8_orders_5(A, B)))) ) ) ).
fof(t42_orders_5, axiom,  (! [A] :  (! [B] :  (m1_eqrel_1(B, A) => B=u1_struct_0(k5_orders_5(k8_orders_5(A, B)))) ) ) ).
fof(d11_orders_5, axiom,  (! [A] :  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  => k9_orders_5(A, B, C, D)=k8_subset_1(k9_xtuple_0(D), k2_orders_5(D), C)) ) ) ) ) ) ) ).
fof(d12_orders_5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_orders_5(A))) =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (D=k10_orders_5(A, B, C) <=>  (? [E] :  (m1_eqrel_1(E, u1_struct_0(A)) &  (? [F] :  (m1_subset_1(F, E) &  (E=u1_struct_0(k5_orders_5(A)) &  (F=B & D=k9_orders_5(u1_struct_0(A), E, F, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_orders_5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_orders_5(A))) =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => k10_orders_5(A, B, C)=k8_subset_1(k9_xtuple_0(C), k2_orders_5(C), B)) ) ) ) ) ) ).
fof(t43_orders_5, axiom,  (! [A] :  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  => k9_orders_5(A, B, C, D)=k9_orders_5(A, B, C, k32_valued_1(A, k1_numbers, D))) ) ) ) ) ) ) ).
fof(t44_orders_5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_orders_5(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  => k10_orders_5(A, B, C)=k10_orders_5(A, B, k32_valued_1(u1_struct_0(A), k1_numbers, C))) ) ) ) ) ) ).
fof(d14_orders_5, axiom,  (! [A] :  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v2_pre_poly(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  (D=k11_orders_5(A, B, C) <=>  (! [E] :  (m1_subset_1(E, B) =>  (r2_tarski(E, B) => k1_funct_1(D, E)=k16_rvsum_1(k1_partfun1(k4_ordinal1, k9_orders_5(A, B, E, C), A, k1_numbers, k20_finseq_1(k9_orders_5(A, B, E, C)), C))) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_orders_5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_pre_poly(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k5_orders_5(A)), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_orders_5(A)), k1_numbers)))) )  =>  (C=k12_orders_5(A, B) <=>  (? [D] :  (m1_eqrel_1(D, u1_struct_0(A)) &  (D=u1_struct_0(k5_orders_5(A)) & r1_funct_2(u1_struct_0(k5_orders_5(A)), k1_numbers, D, k1_numbers, C, k11_orders_5(u1_struct_0(A), D, B))) ) ) ) ) ) ) ) ) ) ).
fof(d16_orders_5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_pre_poly(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k5_orders_5(A)), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_orders_5(A)), k1_numbers)))) )  =>  (C=k12_orders_5(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_orders_5(A))) =>  (r2_tarski(D, u1_struct_0(k5_orders_5(A))) => k1_funct_1(C, D)=k16_rvsum_1(k1_partfun1(k4_ordinal1, k10_orders_5(A, D, B), u1_struct_0(A), k1_numbers, k20_finseq_1(k10_orders_5(A, D, B)), B))) ) ) ) ) ) ) ) ) ) ).
fof(t45_orders_5, axiom,  (! [A] :  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v2_pre_poly(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r2_funct_2(B, k1_numbers, k11_orders_5(A, B, k32_valued_1(A, k1_numbers, C)), k32_valued_1(B, k1_numbers, k11_orders_5(A, B, C)))) ) ) ) ) ).
fof(t46_orders_5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_pre_poly(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) )  => r2_funct_2(u1_struct_0(k5_orders_5(A)), k1_numbers, k12_orders_5(A, k32_valued_1(u1_struct_0(A), k1_numbers, B)), k32_valued_1(u1_struct_0(k5_orders_5(A)), k1_numbers, k12_orders_5(A, B)))) ) ) ) ).
fof(t47_orders_5, axiom,  (! [A] :  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v2_pre_poly(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v3_partfun3(C) => v3_partfun3(k11_orders_5(A, B, C))) ) ) ) ) ) ).
fof(t48_orders_5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_pre_poly(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) )  =>  (v3_partfun3(B) => v3_partfun3(k12_orders_5(A, B))) ) ) ) ) ).
fof(t49_orders_5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_pre_poly(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_orders_5(A, C, D) => C=D) ) )  => k1_funct_1(k1_partfun1(u1_struct_0(A), u1_struct_0(k5_orders_5(A)), u1_struct_0(k5_orders_5(A)), k1_numbers, k6_orders_5(A), k12_orders_5(A, B)), C)=k1_funct_1(B, C)) ) ) ) ) ) ) ).
fof(t50_orders_5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_pre_poly(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) )  => k1_partfun1(u1_struct_0(A), u1_struct_0(k5_orders_5(A)), u1_struct_0(k5_orders_5(A)), k1_numbers, k6_orders_5(A), k12_orders_5(A, B))=B) ) ) ) ).
fof(t51_orders_5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_pre_poly(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) &  (v2_pre_poly(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) )  =>  (r2_funct_2(u1_struct_0(k5_orders_5(A)), k1_numbers, k12_orders_5(A, B), k12_orders_5(A, C)) => r2_funct_2(u1_struct_0(A), k1_numbers, B, C)) ) ) ) ) ) ) ).
fof(t52_orders_5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_pre_poly(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) )  => r1_tarski(k2_orders_5(k12_orders_5(A, B)), k7_relat_1(k6_orders_5(A), k2_orders_5(B)))) ) ) ) ).
fof(t53_orders_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_eqrel_1(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v2_pre_poly(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => r1_tarski(k2_orders_5(k11_orders_5(A, B, C)), k7_relat_1(k14_eqrel_1(A, B), k2_orders_5(C)))) ) ) ) ) ) ).
fof(t54_orders_5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_pre_poly(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) )  =>  (v4_partfun3(B) => k7_relat_1(k6_orders_5(A), k2_orders_5(B))=k2_orders_5(k12_orders_5(A, B))) ) ) ) ) ).
fof(t55_orders_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_eqrel_1(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v2_pre_poly(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v4_partfun3(C) => k7_relat_1(k14_eqrel_1(A, B), k2_orders_5(C))=k2_orders_5(k11_orders_5(A, B, C))) ) ) ) ) ) ) ).
fof(t56_orders_5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_pre_poly(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) )  =>  (v3_partfun3(B) => k7_relat_1(k6_orders_5(A), k2_orders_5(B))=k2_orders_5(k12_orders_5(A, B))) ) ) ) ) ).
fof(t57_orders_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_eqrel_1(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v2_pre_poly(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v3_partfun3(C) => k7_relat_1(k14_eqrel_1(A, B), k2_orders_5(C))=k2_orders_5(k11_orders_5(A, B, C))) ) ) ) ) ) ) ).
fof(t58_orders_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_eqrel_1(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v2_pre_poly(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v2_funct_1(D) & m2_finseq_1(D, A))  =>  (! [E] :  ( (v2_funct_1(E) & m2_finseq_1(E, B))  =>  ( (k10_xtuple_0(E)=k7_relat_1(k14_eqrel_1(A, B), k10_xtuple_0(D)) &  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(A), B) =>  (r2_tarski(F, k10_xtuple_0(E)) => r1_tarski(k9_orders_5(A, B, F, C), k10_xtuple_0(D))) ) ) )  => k18_rvsum_1(k4_finseqop(B, k1_numbers, E, k11_orders_5(A, B, C)))=k18_rvsum_1(k4_finseqop(A, k1_numbers, D, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_orders_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_eqrel_1(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v2_pre_poly(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (! [D] :  ( (v2_funct_1(D) & m2_finseq_1(D, A))  =>  (! [E] :  ( (v2_funct_1(E) & m2_finseq_1(E, B))  =>  ( (k10_xtuple_0(D)=k2_orders_5(C) & k10_xtuple_0(E)=k2_orders_5(k11_orders_5(A, B, C)))  => k18_rvsum_1(k4_finseqop(B, k1_numbers, E, k11_orders_5(A, B, C)))=k18_rvsum_1(k4_finseqop(A, k1_numbers, D, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_orders_5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_pre_poly(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) )  =>  (! [C] :  ( (v2_funct_1(C) & m2_finseq_1(C, u1_struct_0(A)))  =>  (! [D] :  ( (v2_funct_1(D) & m2_finseq_1(D, u1_struct_0(k5_orders_5(A))))  =>  ( (k10_xtuple_0(C)=k2_orders_5(B) & k10_xtuple_0(D)=k2_orders_5(k12_orders_5(A, B)))  => k18_rvsum_1(k4_finseqop(u1_struct_0(k5_orders_5(A)), k1_numbers, D, k12_orders_5(A, B)))=k18_rvsum_1(k4_finseqop(u1_struct_0(A), k1_numbers, C, B))) ) ) ) ) ) ) ) ) ).
fof(d17_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (v4_orders_5(B, A) <=>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(C, k4_finseq_1(B)) & r2_tarski(D, k4_finseq_1(B)))  =>  (r1_xxreal_0(D, C) | r1_orders_2(A, k7_partfun1(u1_struct_0(A), B, C), k7_partfun1(u1_struct_0(A), B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (v5_orders_5(B, A) <=>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(C, k4_finseq_1(B)) & r2_tarski(D, k4_finseq_1(B)))  =>  (r1_xxreal_0(D, C) | r3_orders_5(A, k7_partfun1(u1_struct_0(A), B, C), k7_partfun1(u1_struct_0(A), B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_orders_5, axiom,  (! [A] :  ( (v5_orders_2(A) & l1_orders_2(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (v5_orders_5(B, A) <=>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(C, k4_finseq_1(B)) & r2_tarski(D, k4_finseq_1(B)))  =>  (r1_xxreal_0(D, C) | r2_orders_2(A, k7_partfun1(u1_struct_0(A), B, C), k7_partfun1(u1_struct_0(A), B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d20_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (v6_orders_5(B, A) <=>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(C, k4_finseq_1(B)) & r2_tarski(D, k4_finseq_1(B)))  =>  (r1_xxreal_0(D, C) | r1_orders_2(A, k7_partfun1(u1_struct_0(A), B, D), k7_partfun1(u1_struct_0(A), B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(d21_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (v7_orders_5(B, A) <=>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(C, k4_finseq_1(B)) & r2_tarski(D, k4_finseq_1(B)))  =>  (r1_xxreal_0(D, C) | r3_orders_5(A, k7_partfun1(u1_struct_0(A), B, D), k7_partfun1(u1_struct_0(A), B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(d22_orders_5, axiom,  (! [A] :  ( (v5_orders_2(A) & l1_orders_2(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (v7_orders_5(B, A) <=>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(C, k4_finseq_1(B)) & r2_tarski(D, k4_finseq_1(B)))  =>  (r1_xxreal_0(D, C) | r2_orders_2(A, k7_partfun1(u1_struct_0(A), B, D), k7_partfun1(u1_struct_0(A), B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(d23_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (v8_orders_5(B, A) <=>  (v2_funct_1(B) & v4_orders_5(B, A)) ) ) ) ) ) ).
fof(d24_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (v9_orders_5(B, A) <=>  (v2_funct_1(B) & v6_orders_5(B, A)) ) ) ) ) ) ).
fof(d25_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (v10_orders_5(C, A, B) <=>  (v8_orders_5(C, A) & k10_xtuple_0(C)=B) ) ) ) ) ) ) ) ).
fof(d26_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (v11_orders_5(C, A, B) <=>  (v9_orders_5(C, A) & k10_xtuple_0(C)=B) ) ) ) ) ) ) ) ).
fof(t61_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (v4_orders_5(B, A) <=> v6_orders_5(k4_finseq_5(u1_struct_0(A), B), A)) ) ) ) ) ).
fof(t62_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (v5_orders_5(B, A) <=> v7_orders_5(k4_finseq_5(u1_struct_0(A), B), A)) ) ) ) ) ).
fof(t63_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (v10_orders_5(C, A, B) <=> v11_orders_5(k4_finseq_5(u1_struct_0(A), C), A, B)) ) ) ) ) ) ) ).
fof(t64_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  ( (v10_orders_5(C, A, B) | v11_orders_5(C, A, B))  => v1_finset_1(B)) ) ) ) ) ) ) ).
fof(t65_orders_5, axiom,  (! [A] :  ( (v5_orders_2(A) & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  ( (v10_orders_5(C, A, B) & v10_orders_5(D, A, B))  => C=D) ) ) ) ) ) ) ) ) ).
fof(t66_orders_5, axiom,  (! [A] :  ( (v5_orders_2(A) & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  ( (v11_orders_5(C, A, B) & v11_orders_5(D, A, B))  => C=D) ) ) ) ) ) ) ) ) ).
fof(t67_orders_5, axiom,  (! [A] :  ( (v4_orders_2(A) &  (v5_orders_2(A) &  (v2_orders_5(A) & l1_orders_2(A)) ) )  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (v10_orders_5(C, A, B) <=> C=k7_pre_poly(u1_struct_0(A), B, u1_orders_2(A))) ) ) ) ) ) ) ).
fof(t68_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  ~ ( (v10_orders_5(D, A, B) &  (r1_tarski(C, B) &  (! [E] :  (m2_finseq_1(E, u1_struct_0(A)) =>  ~ (v10_orders_5(E, A, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t69_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  ~ ( (v11_orders_5(D, A, B) &  (r1_tarski(C, B) &  (! [E] :  (m2_finseq_1(E, u1_struct_0(A)) =>  ~ (v11_orders_5(E, A, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (B=k1_tarski(D) & C=k9_finseq_1(D))  =>  (v10_orders_5(C, A, B) & v11_orders_5(C, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t71_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (v10_orders_5(C, A, B) => r6_relat_2(u1_orders_2(A), B)) ) ) ) ) ) ) ).
fof(t72_orders_5, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (v11_orders_5(C, A, B) => r6_relat_2(u1_orders_2(A), B)) ) ) ) ) ) ) ).
fof(t73_orders_5, axiom,  (! [A] :  ( (v4_orders_2(A) & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (v10_orders_5(D, A, C) &  ( ~ (r2_tarski(E, C))  &  (B=k2_xboole_0(C, k1_tarski(E)) &  ( (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r2_tarski(F, C) => r1_orders_2(A, E, F)) ) )  &  (! [F] :  (m2_finseq_1(F, u1_struct_0(A)) =>  ~ ( (F=k7_finseq_1(k9_finseq_1(E), D) & v10_orders_5(F, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t74_orders_5, axiom,  (! [A] :  ( (v4_orders_2(A) & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (v10_orders_5(D, A, C) &  ( ~ (r2_tarski(E, C))  &  (B=k2_xboole_0(C, k1_tarski(E)) &  ( (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r2_tarski(F, C) => r1_orders_2(A, F, E)) ) )  &  (! [F] :  (m2_finseq_1(F, u1_struct_0(A)) =>  ~ ( (F=k7_finseq_1(D, k9_finseq_1(E)) & v10_orders_5(F, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_orders_5, axiom,  (! [A] :  ( (v4_orders_2(A) & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (v11_orders_5(D, A, C) &  ( ~ (r2_tarski(E, C))  &  (B=k2_xboole_0(C, k1_tarski(E)) &  ( (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r2_tarski(F, C) => r1_orders_2(A, E, F)) ) )  &  (! [F] :  (m2_finseq_1(F, u1_struct_0(A)) =>  ~ ( (F=k7_finseq_1(D, k9_finseq_1(E)) & v11_orders_5(F, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t76_orders_5, axiom,  (! [A] :  ( (v4_orders_2(A) & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (v11_orders_5(D, A, C) &  ( ~ (r2_tarski(E, C))  &  (B=k2_xboole_0(C, k1_tarski(E)) &  ( (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r2_tarski(F, C) => r1_orders_2(A, F, E)) ) )  &  (! [F] :  (m2_finseq_1(F, u1_struct_0(A)) =>  ~ ( (F=k7_finseq_1(k9_finseq_1(E), D) & v11_orders_5(F, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t77_orders_5, axiom,  (! [A] :  ( (v4_orders_2(A) & l1_orders_2(A))  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( (r6_relat_2(u1_orders_2(A), B) &  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  ~ (v10_orders_5(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(t78_orders_5, axiom,  (! [A] :  ( (v4_orders_2(A) & l1_orders_2(A))  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( (r6_relat_2(u1_orders_2(A), B) &  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  ~ (v11_orders_5(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(t79_orders_5, axiom,  (! [A] :  ( (v4_orders_2(A) &  (v1_orders_5(A) & l1_orders_2(A)) )  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (? [C] :  (m2_finseq_1(C, u1_struct_0(A)) & v10_orders_5(C, A, B)) ) ) ) ) ) ).
fof(t80_orders_5, axiom,  (! [A] :  ( (v4_orders_2(A) &  (v1_orders_5(A) & l1_orders_2(A)) )  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (? [C] :  (m2_finseq_1(C, u1_struct_0(A)) & v11_orders_5(C, A, B)) ) ) ) ) ) ).
fof(t81_orders_5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (r6_relat_2(u1_orders_2(A), B) => r6_relat_2(u1_orders_2(k5_orders_5(A)), k1_orders_5(A, k5_orders_5(A), k6_orders_5(A), B))) ) ) ) ) ).
fof(t82_orders_5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  ~ ( (v10_orders_5(C, A, B) &  (! [D] :  (m2_finseq_1(D, u1_struct_0(k5_orders_5(A))) =>  ~ (v10_orders_5(D, k5_orders_5(A), k1_orders_5(A, k5_orders_5(A), k6_orders_5(A), B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t83_orders_5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  ~ ( (v11_orders_5(C, A, B) &  (! [D] :  (m2_finseq_1(D, u1_struct_0(k5_orders_5(A))) =>  ~ (v11_orders_5(D, k5_orders_5(A), k1_orders_5(A, k5_orders_5(A), k6_orders_5(A), B))) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_orders_5, axiom,  ( (v1_finset_1(f1_s1_orders_5) &  (p1_s1_orders_5(f2_s1_orders_5) &  (! [A] :  (! [B] :  ( (r2_tarski(A, k6_subset_1(f1_s1_orders_5, f2_s1_orders_5)) &  (r1_tarski(f2_s1_orders_5, B) &  (r1_tarski(B, f1_s1_orders_5) & p1_s1_orders_5(B)) ) )  => p1_s1_orders_5(k2_xboole_0(B, k1_tarski(A)))) ) ) ) )  => p1_s1_orders_5(f1_s1_orders_5)) ).
fof(s2_orders_5, axiom,  ( (? [A] :  (m1_subset_1(A, u1_struct_0(f1_s2_orders_5)) &  (r2_tarski(A, f2_s2_orders_5) & p1_s2_orders_5(A)) ) )  =>  (? [A] :  (m1_subset_1(A, u1_struct_0(f1_s2_orders_5)) &  (r2_tarski(A, f2_s2_orders_5) &  (p1_s2_orders_5(A) &  (! [B] :  (m1_subset_1(B, u1_struct_0(f1_s2_orders_5)) =>  ~ ( (r2_tarski(B, f2_s2_orders_5) &  (r4_orders_5(f1_s2_orders_5, B, A) & p1_s2_orders_5(B)) ) ) ) ) ) ) ) ) ) ).
fof(s3_orders_5, axiom,  ( (? [A] :  (m1_subset_1(A, u1_struct_0(f1_s3_orders_5)) &  (r2_tarski(A, f2_s3_orders_5) & p1_s3_orders_5(A)) ) )  =>  (? [A] :  (m1_subset_1(A, u1_struct_0(f1_s3_orders_5)) &  (r2_tarski(A, f2_s3_orders_5) &  (p1_s3_orders_5(A) &  (! [B] :  (m1_subset_1(B, u1_struct_0(f1_s3_orders_5)) =>  ~ ( (r2_tarski(B, f2_s3_orders_5) &  (r4_orders_5(f1_s3_orders_5, A, B) & p1_s3_orders_5(B)) ) ) ) ) ) ) ) ) ) ).
fof(dt_f2_s1_orders_5, axiom, m1_subset_1(f2_s1_orders_5, k1_zfmisc_1(f1_s1_orders_5))).
fof(dt_k1_orders_5, axiom,  (! [A, B, C, D] :  ( (l1_struct_0(A) &  (l1_struct_0(B) &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) )  => m1_subset_1(k1_orders_5(A, B, C, D), k1_zfmisc_1(u1_struct_0(B)))) ) ).
fof(redefinition_k1_orders_5, axiom,  (! [A, B, C, D] :  ( (l1_struct_0(A) &  (l1_struct_0(B) &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) )  => k1_orders_5(A, B, C, D)=k7_relat_1(C, D)) ) ).
fof(dt_k2_orders_5, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => m1_subset_1(k2_orders_5(A), k1_zfmisc_1(k9_xtuple_0(A)))) ) ).
fof(redefinition_k2_orders_5, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => k2_orders_5(A)=k13_pre_poly(A)) ) ).
fof(reflexivity_r2_orders_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => r2_orders_5(A, B, B)) ) ).
fof(redefinition_r2_orders_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r2_orders_5(A, B, C) <=> r1_orders_5(A, B, C)) ) ) ).
fof(irreflexivity_r3_orders_5, axiom,  (! [A, B, C] :  ( (l1_orders_2(A) &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  ~ (r3_orders_5(A, B, B)) ) ) ).
fof(irreflexivity_r4_orders_5, axiom,  (! [A, B, C] :  ( ( (v1_orders_5(A) & l1_orders_2(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  ~ (r4_orders_5(A, B, B)) ) ) ).
fof(asymmetry_r4_orders_5, axiom,  (! [A, B, C] :  ( ( (v1_orders_5(A) & l1_orders_2(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r4_orders_5(A, B, C) =>  ~ (r4_orders_5(A, C, B)) ) ) ) ).
fof(redefinition_r4_orders_5, axiom,  (! [A, B, C] :  ( ( (v1_orders_5(A) & l1_orders_2(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r4_orders_5(A, B, C) <=> r3_orders_5(A, B, C)) ) ) ).
fof(dt_f1_s2_orders_5, axiom,  (v4_orders_2(f1_s2_orders_5) &  (v1_orders_5(f1_s2_orders_5) & l1_orders_2(f1_s2_orders_5)) ) ).
fof(dt_f2_s2_orders_5, axiom,  (v1_finset_1(f2_s2_orders_5) & m1_subset_1(f2_s2_orders_5, k1_zfmisc_1(u1_struct_0(f1_s2_orders_5)))) ).
fof(dt_f1_s3_orders_5, axiom,  (v4_orders_2(f1_s3_orders_5) &  (v1_orders_5(f1_s3_orders_5) & l1_orders_2(f1_s3_orders_5)) ) ).
fof(dt_f2_s3_orders_5, axiom,  (v1_finset_1(f2_s3_orders_5) & m1_subset_1(f2_s3_orders_5, k1_zfmisc_1(u1_struct_0(f1_s3_orders_5)))) ).
fof(dt_k3_orders_5, axiom,  (! [A, B] :  (m1_eqrel_1(B, A) =>  (v1_partfun1(k3_orders_5(A, B), A) &  (v3_relat_2(k3_orders_5(A, B)) &  (v8_relat_2(k3_orders_5(A, B)) & m1_subset_1(k3_orders_5(A, B), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ).
fof(dt_k4_orders_5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) )  =>  (v1_partfun1(k4_orders_5(A), u1_struct_0(A)) &  (v3_relat_2(k4_orders_5(A)) &  (v8_relat_2(k4_orders_5(A)) & m1_subset_1(k4_orders_5(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ) ).
fof(dt_k5_orders_5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) )  =>  (v1_orders_2(k5_orders_5(A)) & l1_orders_2(k5_orders_5(A))) ) ) ).
fof(dt_k6_orders_5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) )  =>  (v1_funct_1(k6_orders_5(A)) &  (v1_funct_2(k6_orders_5(A), u1_struct_0(A), u1_struct_0(k5_orders_5(A))) & m1_subset_1(k6_orders_5(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k5_orders_5(A)))))) ) ) ) ).
fof(dt_k7_orders_5, axiom,  (! [A, B, C] :  ( ( (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) )  &  ( (v1_partfun1(B, u1_struct_0(A)) &  (v3_relat_2(B) &  (v8_relat_2(B) &  (v3_orders_5(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) )  & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k7_orders_5(A, B, C), u1_struct_0(k5_orders_5(A)))) ) ).
fof(redefinition_k7_orders_5, axiom,  (! [A, B, C] :  ( ( (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) )  &  ( (v1_partfun1(B, u1_struct_0(A)) &  (v3_relat_2(B) &  (v8_relat_2(B) &  (v3_orders_5(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) )  & m1_subset_1(C, u1_struct_0(A))) )  => k7_orders_5(A, B, C)=k9_relat_1(B, C)) ) ).
fof(dt_k8_orders_5, axiom,  (! [A, B] :  (m1_eqrel_1(B, A) =>  (v1_orders_2(k8_orders_5(A, B)) & l1_orders_2(k8_orders_5(A, B))) ) ) ).
fof(dt_k9_orders_5, axiom,  (! [A, B, C, D] :  ( (m1_eqrel_1(B, A) &  (m1_subset_1(C, B) &  (v1_relat_1(D) & v1_funct_1(D)) ) )  => m1_subset_1(k9_orders_5(A, B, C, D), k1_zfmisc_1(A))) ) ).
fof(dt_k10_orders_5, axiom,  (! [A, B, C] :  ( ( (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) )  &  (m1_subset_1(B, u1_struct_0(k5_orders_5(A))) &  (v1_relat_1(C) & v1_funct_1(C)) ) )  => m1_subset_1(k10_orders_5(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k11_orders_5, axiom,  (! [A, B, C] :  ( (m1_eqrel_1(B, A) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v2_pre_poly(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  =>  (v1_funct_1(k11_orders_5(A, B, C)) &  (v1_funct_2(k11_orders_5(A, B, C), B, k1_numbers) & m1_subset_1(k11_orders_5(A, B, C), k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) ) ) ) ).
fof(dt_k12_orders_5, axiom,  (! [A, B] :  ( ( (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) )  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_pre_poly(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) )  =>  (v1_funct_1(k12_orders_5(A, B)) &  (v1_funct_2(k12_orders_5(A, B), u1_struct_0(k5_orders_5(A)), k1_numbers) & m1_subset_1(k12_orders_5(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_orders_5(A)), k1_numbers)))) ) ) ) ).
fof(fc1_ordinal1, axiom,  (! [A] :  ~ (v1_xboole_0(k1_ordinal1(A))) ) ).
fof(rc1_ordinal1, axiom,  (? [A] :  (v1_ordinal1(A) & v2_ordinal1(A)) ) ).
fof(cc1_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_ordinal1(A) & v2_ordinal1(A)) ) ) ).
fof(cc2_ordinal1, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_ordinal1(A))  => v3_ordinal1(A)) ) ).
fof(rc2_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(rc3_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(cc3_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_ordinal1(A)) ) ).
fof(rc4_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) & v3_ordinal1(A)) ) ) ) ).
fof(fc2_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  ( ~ (v1_xboole_0(k1_ordinal1(A)))  & v3_ordinal1(k1_ordinal1(A))) ) ) ).
fof(fc3_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) => v3_ordinal1(k3_tarski(A))) ) ).
fof(cc4_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v5_ordinal1(A)) ) ).
fof(rc5_ordinal1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v5_ordinal1(B)) ) ) ) ) ).
fof(fc4_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_ordinal1(A)) )  => v3_ordinal1(k9_xtuple_0(A))) ) ).
fof(fc5_ordinal1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_ordinal1(A)) )  & v3_ordinal1(B))  =>  (v1_relat_1(k5_relat_1(A, B)) &  (v5_relat_1(k5_relat_1(A, B), k10_xtuple_0(A)) & v5_ordinal1(k5_relat_1(A, B))) ) ) ) ).
fof(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_ordinal1)) ).
fof(rc6_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc7_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(cc5_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, A) => v3_ordinal1(B)) ) ) ) ).
fof(cc6_ordinal1, axiom,  (! [A] :  (v7_ordinal1(A) => v3_ordinal1(A)) ) ).
fof(cc7_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v7_ordinal1(A)) ) ).
fof(cc8_ordinal1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v7_ordinal1(A)) ) ).
fof(rc8_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v7_ordinal1(A)) ) ).
fof(fc7_ordinal1, axiom,  (! [A] :  ( (v3_ordinal1(A) & v7_ordinal1(A))  => v7_ordinal1(k1_ordinal1(A))) ) ).
fof(cc9_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v6_ordinal1(A)) ) ).
fof(cc10_ordinal1, axiom,  (! [A] :  (v6_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_ordinal1(B)) ) ) ) ).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1)).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1)).
fof(rc9_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rc10_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(cc11_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v7_ordinal1(A)) ) ).
fof(rc11_ordinal1, axiom,  (? [A] :  ~ (v8_ordinal1(A)) ) ).
fof(cc12_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v1_zfmisc_1(A)) ) ).
fof(cc13_ordinal1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v8_ordinal1(A)) ) ) ).
fof(cc14_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc15_ordinal1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v9_ordinal1(A)) ) ) ).
fof(rc12_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) ) ) ).
fof(cc16_ordinal1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, A) =>  ~ (v8_ordinal1(B)) ) ) ) ) ).
fof(rc13_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) & v9_ordinal1(A)) ) ).
fof(rc14_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) &  ~ (v9_ordinal1(A)) ) ) ).
fof(fc10_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) & v9_ordinal1(A))  =>  ~ (v10_ordinal1(k10_xtuple_0(A))) ) ) ).
fof(fc11_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) &  ~ (v9_ordinal1(A)) )  => v10_ordinal1(k10_xtuple_0(A))) ) ).
fof(fc12_ordinal1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v9_ordinal1(A))  & v1_relat_1(B))  =>  (v1_relat_1(k3_relat_1(B, A)) & v9_ordinal1(k3_relat_1(B, A))) ) ) ).
fof(cc17_ordinal1, axiom,  (! [A] :  ( ~ (v10_ordinal1(A))  => v1_setfam_1(A)) ) ).
fof(cc18_ordinal1, axiom,  (! [A] :  (v10_ordinal1(A) =>  ~ (v1_setfam_1(A)) ) ) ).
fof(cc19_ordinal1, axiom,  (! [A] :  (v1_setfam_1(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc20_ordinal1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => v10_ordinal1(A)) ) ).
fof(fc13_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) => v3_ordinal1(k6_ordinal1(A))) ) ).
fof(fc14_ordinal1, axiom,  (! [A] :  ( (v3_ordinal1(A) & v8_ordinal1(A))  => v1_xboole_0(k6_ordinal1(A))) ) ).
fof(t5_ordinal1, axiom,  (! [A] :  (! [B] :  ~ ( (r2_tarski(B, A) & r1_tarski(A, B)) ) ) ) ).
fof(d1_ordinal1, axiom,  (! [A] : k1_ordinal1(A)=k2_xboole_0(A, k1_tarski(A))) ).
fof(t6_ordinal1, axiom,  (! [A] : r2_tarski(A, k1_ordinal1(A))) ).
fof(t7_ordinal1, axiom,  (! [A] :  (! [B] :  (k1_ordinal1(A)=k1_ordinal1(B) => A=B) ) ) ).
fof(t8_ordinal1, axiom,  (! [A] :  (! [B] :  (r2_hidden(B, k1_ordinal1(A)) <=>  (r2_hidden(B, A) | B=A) ) ) ) ).
fof(t9_ordinal1, axiom,  (! [A] :  ~ (A=k1_ordinal1(A)) ) ).
fof(d2_ordinal1, axiom,  (! [A] :  (v1_ordinal1(A) <=>  (! [B] :  (r2_tarski(B, A) => r1_tarski(B, A)) ) ) ) ).
fof(d3_ordinal1, axiom,  (! [A] :  (v2_ordinal1(A) <=>  (! [B] :  (! [C] :  ~ ( (r2_tarski(B, A) &  (r2_tarski(C, A) &  ( ~ (r2_tarski(B, C))  &  ( ~ (B=C)  &  ~ (r2_tarski(C, B)) ) ) ) ) ) ) ) ) ) ).
fof(d4_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) <=>  (v1_ordinal1(A) & v2_ordinal1(A)) ) ) ).
fof(t10_ordinal1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_ordinal1(C) =>  ( (r2_tarski(A, B) & r2_tarski(B, C))  => r2_tarski(A, C)) ) ) ) ) ).
fof(t11_ordinal1, axiom,  (! [A] :  (v1_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (r2_xboole_0(A, B) => r2_tarski(A, B)) ) ) ) ) ).
fof(t12_ordinal1, axiom,  (! [A] :  (v1_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  ( (r1_tarski(A, B) & r2_tarski(B, C))  => r2_tarski(A, C)) ) ) ) ) ) ) ).
fof(t13_ordinal1, axiom,  (! [A] :  (! [B] :  (v3_ordinal1(B) =>  (r2_hidden(A, B) => v3_ordinal1(A)) ) ) ) ).
fof(t14_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  ~ ( ( ~ (r2_tarski(A, B))  &  ( ~ (A=B)  &  ~ (r2_tarski(B, A)) ) ) ) ) ) ) ) ).
fof(d5_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (r1_ordinal1(A, B) <=>  (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(C, A) => r2_tarski(C, B)) ) ) ) ) ) ) ) ).
fof(t15_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) => r3_xboole_0(A, B)) ) ) ) ).
fof(t16_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (r1_ordinal1(A, B) | r2_tarski(B, A)) ) ) ) ) ).
fof(t17_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) => v3_ordinal1(k1_ordinal1(A))) ) ).
fof(t18_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_ordinal1(k3_tarski(A)) & v2_ordinal1(k3_tarski(A))) ) ) ).
fof(t19_ordinal1, axiom,  (! [A] :  ( (! [B] :  (r2_tarski(B, A) =>  (v3_ordinal1(B) & r1_tarski(B, A)) ) )  =>  (v1_ordinal1(A) & v2_ordinal1(A)) ) ) ).
fof(t20_ordinal1, axiom,  (! [A] :  (! [B] :  (v3_ordinal1(B) =>  ~ ( (r1_tarski(A, B) &  ( ~ (A=k1_xboole_0)  &  (! [C] :  (v3_ordinal1(C) =>  ~ ( (r2_tarski(C, A) &  (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(D, A) => r1_ordinal1(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(A, B) <=> r1_ordinal1(k1_ordinal1(A), B)) ) ) ) ) ).
fof(t22_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(A, k1_ordinal1(B)) <=> r1_ordinal1(A, B)) ) ) ) ) ).
fof(t23_ordinal1, axiom,  (! [A] :  ( (! [B] :  (r2_hidden(B, A) => v3_ordinal1(B)) )  =>  (v1_ordinal1(k3_tarski(A)) & v2_ordinal1(k3_tarski(A))) ) ) ).
fof(t24_ordinal1, axiom,  (! [A] :  ~ ( ( (! [B] :  (r2_hidden(B, A) => v3_ordinal1(B)) )  &  (! [B] :  (v3_ordinal1(B) =>  ~ (r1_tarski(A, B)) ) ) ) ) ) ).
fof(t25_ordinal1, axiom,  (! [A] :  ~ ( (! [B] :  (r2_tarski(B, A) <=> v3_ordinal1(B)) ) ) ) ).
fof(t26_ordinal1, axiom,  (! [A] :  ~ ( (! [B] :  (v3_ordinal1(B) => r2_tarski(B, A)) ) ) ) ).
fof(t27_ordinal1, axiom,  (! [A] :  (? [B] :  (v3_ordinal1(B) &  ( ~ (r2_tarski(B, A))  &  (! [C] :  (v3_ordinal1(C) =>  ( ~ (r2_tarski(C, A))  => r1_ordinal1(B, C)) ) ) ) ) ) ) ).
fof(d6_ordinal1, axiom,  (! [A] :  (v4_ordinal1(A) <=> A=k3_tarski(A)) ) ).
fof(t28_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v4_ordinal1(A) <=>  (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(B, A) => r2_tarski(k1_ordinal1(B), A)) ) ) ) ) ) ).
fof(t29_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  ( ~ ( ( ~ (v4_ordinal1(A))  &  (! [B] :  (v3_ordinal1(B) =>  ~ (A=k1_ordinal1(B)) ) ) ) )  &  ~ ( ( (? [B] :  (v3_ordinal1(B) & A=k1_ordinal1(B)) )  & v4_ordinal1(A)) ) ) ) ) ).
fof(d7_ordinal1, axiom,  (! [A] :  (v5_ordinal1(A) <=>  (v1_ordinal1(k9_xtuple_0(A)) & v2_ordinal1(k9_xtuple_0(A))) ) ) ).
fof(t30_ordinal1, axiom,  (! [A] :  (v1_relat_1(k1_xboole_0) &  (v5_relat_1(k1_xboole_0, A) &  (v1_funct_1(k1_xboole_0) & v5_ordinal1(k1_xboole_0)) ) ) ) ).
fof(t31_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v3_ordinal1(k9_xtuple_0(A)) =>  (v1_relat_1(A) &  (v5_relat_1(A, k10_xtuple_0(A)) &  (v1_funct_1(A) & v5_ordinal1(A)) ) ) ) ) ) ).
fof(t32_ordinal1, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v1_funct_1(C) & v5_ordinal1(C)) ) )  =>  (v1_relat_1(C) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v5_ordinal1(C)) ) ) ) ) ) ) ) ).
fof(t33_ordinal1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v5_ordinal1(B)) ) )  =>  (! [C] :  (v3_ordinal1(C) =>  (v1_relat_1(k5_relat_1(B, C)) &  (v5_relat_1(k5_relat_1(B, C), A) &  (v1_funct_1(k5_relat_1(B, C)) & v5_ordinal1(k5_relat_1(B, C))) ) ) ) ) ) ) ) ).
fof(d8_ordinal1, axiom,  (! [A] :  (v6_ordinal1(A) <=>  (! [B] :  (! [C] :  ( (r2_tarski(B, A) & r2_tarski(C, A))  => r3_xboole_0(B, C)) ) ) ) ) ).
fof(t34_ordinal1, axiom,  (! [A] :  ( ( (! [B] :  (r2_hidden(B, A) =>  (v1_relat_1(B) &  (v1_funct_1(B) & v5_ordinal1(B)) ) ) )  & v6_ordinal1(A))  =>  (v1_relat_1(k3_tarski(A)) &  (v1_funct_1(k3_tarski(A)) & v5_ordinal1(k3_tarski(A))) ) ) ) ).
fof(t35_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  ~ ( ( ~ (r2_xboole_0(A, B))  &  ( ~ (A=B)  &  ~ (r2_xboole_0(B, A)) ) ) ) ) ) ) ) ).
fof(d9_ordinal1, axiom,  (! [A] :  (! [B] :  (B=k2_ordinal1(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  (r2_hidden(C, A) & v3_ordinal1(C)) ) ) ) ) ) ).
fof(d10_ordinal1, axiom,  (! [A] :  (! [B] :  (B=k3_ordinal1(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  (r2_hidden(C, A) &  (? [D] :  (v3_ordinal1(D) &  (C=D & v4_ordinal1(D)) ) ) ) ) ) ) ) ) ).
fof(t36_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (? [B] :  (v3_ordinal1(B) &  (r2_tarski(A, B) & v4_ordinal1(B)) ) ) ) ) ).
fof(d11_ordinal1, axiom,  (! [A] :  (A=k4_ordinal1 <=>  (r2_tarski(k1_xboole_0, A) &  (v4_ordinal1(A) &  (v3_ordinal1(A) &  (! [B] :  (v3_ordinal1(B) =>  ( (r2_tarski(k1_xboole_0, B) & v4_ordinal1(B))  => r1_tarski(A, B)) ) ) ) ) ) ) ) ).
fof(d12_ordinal1, axiom,  (! [A] :  (v7_ordinal1(A) <=> r2_hidden(A, k4_ordinal1)) ) ).
fof(t37_ordinal1, axiom,  (! [A] : k6_subset_1(k1_ordinal1(A), k1_tarski(A))=A) ).
fof(d13_ordinal1, axiom, k5_ordinal1=k1_xboole_0).
fof(d14_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) <=> A=k5_ordinal1) ) ).
fof(d15_ordinal1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v9_ordinal1(A) <=>  ~ (r2_tarski(k5_ordinal1, k10_xtuple_0(A))) ) ) ) ).
fof(d16_ordinal1, axiom,  (! [A] :  (v10_ordinal1(A) <=> r2_tarski(k5_ordinal1, A)) ) ).
fof(d17_ordinal1, axiom,  (! [A] : k6_ordinal1(A)=A) ).
fof(s1_ordinal1, axiom,  ( (? [A] :  (v3_ordinal1(A) & p1_s1_ordinal1(A)) )  =>  (? [A] :  (v3_ordinal1(A) &  (p1_s1_ordinal1(A) &  (! [B] :  (v3_ordinal1(B) =>  (p1_s1_ordinal1(B) => r1_ordinal1(A, B)) ) ) ) ) ) ) ).
fof(s2_ordinal1, axiom,  ( (! [A] :  (v3_ordinal1(A) =>  ( (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(B, A) => p1_s2_ordinal1(B)) ) )  => p1_s2_ordinal1(A)) ) )  =>  (! [A] :  (v3_ordinal1(A) => p1_s2_ordinal1(A)) ) ) ).
fof(s3_ordinal1, axiom,  ( ( (k9_xtuple_0(f3_s3_ordinal1)=f1_s3_ordinal1 &  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v5_ordinal1(B)) )  =>  ( (r2_tarski(A, f1_s3_ordinal1) & B=k5_relat_1(f3_s3_ordinal1, A))  => k1_funct_1(f3_s3_ordinal1, A)=f2_s3_ordinal1(B)) ) ) ) ) )  &  (k9_xtuple_0(f4_s3_ordinal1)=f1_s3_ordinal1 &  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v5_ordinal1(B)) )  =>  ( (r2_tarski(A, f1_s3_ordinal1) & B=k5_relat_1(f4_s3_ordinal1, A))  => k1_funct_1(f4_s3_ordinal1, A)=f2_s3_ordinal1(B)) ) ) ) ) ) )  => f3_s3_ordinal1=f4_s3_ordinal1) ).
fof(s4_ordinal1, axiom,  (? [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_ordinal1(A)) )  &  (k9_xtuple_0(A)=f1_s4_ordinal1 &  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v5_ordinal1(C)) )  =>  ( (r2_tarski(B, f1_s4_ordinal1) & C=k5_relat_1(A, B))  => k1_funct_1(A, B)=f2_s4_ordinal1(C)) ) ) ) ) ) ) ) ).
fof(s5_ordinal1, axiom,  ( ( (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (B=f2_s5_ordinal1(A) <=>  (? [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v5_ordinal1(C)) )  &  (B=f3_s5_ordinal1(C) &  (k9_xtuple_0(C)=A &  (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(D, A) => k1_funct_1(C, D)=f3_s5_ordinal1(k5_relat_1(C, D))) ) ) ) ) ) ) ) ) ) )  &  (! [A] :  (v3_ordinal1(A) =>  (r2_tarski(A, k9_xtuple_0(f1_s5_ordinal1)) => k1_funct_1(f1_s5_ordinal1, A)=f2_s5_ordinal1(A)) ) ) )  =>  (! [A] :  (v3_ordinal1(A) =>  (r2_tarski(A, k9_xtuple_0(f1_s5_ordinal1)) => k1_funct_1(f1_s5_ordinal1, A)=f3_s5_ordinal1(k5_relat_1(f1_s5_ordinal1, A))) ) ) ) ).
fof(s6_ordinal1, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s6_ordinal1) =>  (? [B] :  (v3_ordinal1(B) & p1_s6_ordinal1(A, B)) ) ) )  =>  (? [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  &  (k9_xtuple_0(A)=f1_s6_ordinal1 &  (! [B] :  (m1_subset_1(B, f1_s6_ordinal1) =>  (? [C] :  (v3_ordinal1(C) &  (C=k1_funct_1(A, B) &  (p1_s6_ordinal1(B, C) &  (! [D] :  (v3_ordinal1(D) =>  (p1_s6_ordinal1(B, D) => r1_ordinal1(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(reflexivity_r1_ordinal1, axiom,  (! [A, B] :  ( (v3_ordinal1(A) & v3_ordinal1(B))  => r1_ordinal1(A, A)) ) ).
fof(connectedness_r1_ordinal1, axiom,  (! [A, B] :  ( (v3_ordinal1(A) & v3_ordinal1(B))  =>  (r1_ordinal1(A, B) | r1_ordinal1(B, A)) ) ) ).
fof(redefinition_r1_ordinal1, axiom,  (! [A, B] :  ( (v3_ordinal1(A) & v3_ordinal1(B))  =>  (r1_ordinal1(A, B) <=> r1_tarski(A, B)) ) ) ).
fof(dt_f1_s3_ordinal1, axiom, v3_ordinal1(f1_s3_ordinal1)).
fof(dt_f3_s3_ordinal1, axiom,  (v1_relat_1(f3_s3_ordinal1) &  (v1_funct_1(f3_s3_ordinal1) & v5_ordinal1(f3_s3_ordinal1)) ) ).
fof(dt_f4_s3_ordinal1, axiom,  (v1_relat_1(f4_s3_ordinal1) &  (v1_funct_1(f4_s3_ordinal1) & v5_ordinal1(f4_s3_ordinal1)) ) ).
fof(dt_f1_s4_ordinal1, axiom, v3_ordinal1(f1_s4_ordinal1)).
fof(dt_f1_s5_ordinal1, axiom,  (v1_relat_1(f1_s5_ordinal1) &  (v1_funct_1(f1_s5_ordinal1) & v5_ordinal1(f1_s5_ordinal1)) ) ).
fof(dt_f1_s6_ordinal1, axiom,  ~ (v1_xboole_0(f1_s6_ordinal1)) ).
fof(rc1_ordinal2, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) & v4_ordinal1(A)) ) ) ) ).
fof(rc2_ordinal2, axiom,  (? [A] :  (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) ) ) ).
fof(cc1_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) & v1_funct_1(B)) ) )  =>  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_ordinal2(B)) ) ) ) ) ) ) ) ).
fof(fc1_ordinal2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  & v3_ordinal1(B))  =>  (v1_relat_1(k5_relat_1(A, B)) & v1_ordinal2(k5_relat_1(A, B))) ) ) ).
fof(fc2_ordinal2, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  => v3_ordinal1(k1_funct_1(A, B))) ) ).
fof(cc2_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, A) => v3_ordinal1(B)) ) ) ) ).
fof(fc3_ordinal2, axiom,  (! [A, B] :  (v3_ordinal1(B) => v1_ordinal2(k2_funcop_1(A, B))) ) ).
fof(fc4_ordinal2, axiom,  (! [A, B] :  (v3_ordinal1(A) => v5_ordinal1(k2_funcop_1(A, B))) ) ).
fof(fc5_ordinal2, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  =>  (v3_ordinal1(k10_ordinal2(A, B)) & v7_ordinal1(k10_ordinal2(A, B))) ) ) ).
fof(fc6_ordinal2, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(C) & v7_ordinal1(D))  => v7_ordinal1(k14_funcop_1(A, B, C, D))) ) ).
fof(t1_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (r1_ordinal1(A, B) <=> r1_ordinal1(k1_ordinal1(A), k1_ordinal1(B))) ) ) ) ) ).
fof(t2_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) => k3_tarski(k1_ordinal1(A))=A) ) ).
fof(t3_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) => r1_tarski(k1_ordinal1(A), k9_setfam_1(A))) ) ).
fof(t4_ordinal2, axiom, v4_ordinal1(k5_ordinal1)).
fof(t5_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) => r1_ordinal1(k3_tarski(A), A)) ) ).
fof(d1_ordinal2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) )  => k1_ordinal2(A)=k1_funct_1(A, k3_tarski(k9_xtuple_0(A)))) ) ).
fof(t6_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) & v1_funct_1(B)) )  =>  (k9_xtuple_0(B)=k1_ordinal1(A) => k1_ordinal2(B)=k1_funct_1(B, A)) ) ) ) ) ).
fof(t7_ordinal2, axiom,  (! [A] : r1_tarski(k2_ordinal1(A), A)) ).
fof(t8_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) => k2_ordinal1(A)=A) ) ).
fof(t9_ordinal2, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) => r1_tarski(k2_ordinal1(A), k2_ordinal1(B))) ) ) ).
fof(t10_ordinal2, axiom,  (! [A] : r1_tarski(k3_ordinal1(A), A)) ).
fof(t11_ordinal2, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) => r1_tarski(k3_ordinal1(A), k3_ordinal1(B))) ) ) ).
fof(t12_ordinal2, axiom,  (! [A] : r1_tarski(k3_ordinal1(A), k2_ordinal1(A))) ).
fof(t13_ordinal2, axiom,  (! [A] :  ( (! [B] :  (r2_hidden(B, A) => v3_ordinal1(B)) )  => v3_ordinal1(k1_setfam_1(A))) ) ).
fof(d2_ordinal2, axiom,  (! [A] : k2_ordinal2(A)=k1_setfam_1(k2_ordinal1(A))) ).
fof(d3_ordinal2, axiom,  (! [A] :  (! [B] :  (v3_ordinal1(B) =>  (B=k3_ordinal2(A) <=>  (r1_tarski(k2_ordinal1(A), B) &  (! [C] :  (v3_ordinal1(C) =>  (r1_tarski(k2_ordinal1(A), C) => r1_ordinal1(B, C)) ) ) ) ) ) ) ) ).
fof(t14_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (r2_tarski(A, B) => r1_ordinal1(k2_ordinal2(B), A)) ) ) ) ).
fof(t15_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(C, B) => r1_ordinal1(A, C)) ) )  =>  (k2_ordinal1(B)=k5_ordinal1 | r1_ordinal1(A, k2_ordinal2(B))) ) ) ) ) ).
fof(t16_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (! [C] :  ( (r2_tarski(A, B) & r1_tarski(B, C))  => r1_ordinal1(k2_ordinal2(C), k2_ordinal2(B))) ) ) ) ) ).
fof(t17_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (r2_tarski(A, B) => r2_tarski(k2_ordinal2(B), B)) ) ) ) ).
fof(t18_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) => k3_ordinal2(A)=A) ) ).
fof(t19_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (r2_tarski(A, B) => r2_tarski(A, k3_ordinal2(B))) ) ) ) ).
fof(t20_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(C, B) => r2_tarski(C, A)) ) )  => r1_ordinal1(k3_ordinal2(B), A)) ) ) ) ).
fof(t21_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ~ ( (r2_tarski(A, k3_ordinal2(B)) &  (! [C] :  (v3_ordinal1(C) =>  ~ ( (r2_tarski(C, B) & r1_ordinal1(A, C)) ) ) ) ) ) ) ) ) ).
fof(t22_ordinal2, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) => r1_ordinal1(k3_ordinal2(A), k3_ordinal2(B))) ) ) ).
fof(t23_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) => k3_ordinal2(k1_tarski(A))=k1_ordinal1(A)) ) ).
fof(t24_ordinal2, axiom,  (! [A] : r1_ordinal1(k2_ordinal2(A), k3_ordinal2(A))) ).
fof(d4_ordinal2, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_ordinal2(A) <=>  (? [B] :  (v3_ordinal1(B) & r1_tarski(k10_xtuple_0(A), B)) ) ) ) ) ).
fof(t25_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_ordinal2(B)) ) )  =>  (r2_tarski(A, k9_xtuple_0(B)) => v3_ordinal1(k1_funct_1(B, A))) ) ) ) ) ).
fof(d5_ordinal2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) )  => k4_ordinal2(A)=k3_ordinal2(k10_xtuple_0(A))) ) ).
fof(d6_ordinal2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) )  => k5_ordinal2(A)=k2_ordinal2(k10_xtuple_0(A))) ) ).
fof(t26_ordinal2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) )  =>  (k4_ordinal2(A)=k3_ordinal2(k10_xtuple_0(A)) & k5_ordinal2(A)=k2_ordinal2(k10_xtuple_0(A))) ) ) ).
fof(d7_ordinal2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) )  =>  (! [B] :  (v3_ordinal1(B) =>  (B=k6_ordinal2(A) <=>  (? [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_ordinal2(C)) ) )  &  (B=k5_ordinal2(C) &  (k9_xtuple_0(C)=k9_xtuple_0(A) &  (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(D, k9_xtuple_0(A)) => k1_funct_1(C, D)=k3_ordinal2(k10_xtuple_0(k5_relat_1(A, k6_subset_1(k9_xtuple_0(A), D))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_ordinal2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) )  =>  (! [B] :  (v3_ordinal1(B) =>  (B=k7_ordinal2(A) <=>  (? [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_ordinal2(C)) ) )  &  (B=k4_ordinal2(C) &  (k9_xtuple_0(C)=k9_xtuple_0(A) &  (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(D, k9_xtuple_0(A)) => k1_funct_1(C, D)=k2_ordinal2(k10_xtuple_0(k5_relat_1(A, k6_subset_1(k9_xtuple_0(A), D))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_ordinal2(B)) ) )  =>  ( (A=k5_ordinal1 =>  (r1_ordinal2(A, B) <=>  (? [C] :  (v3_ordinal1(C) &  (r2_tarski(C, k9_xtuple_0(B)) &  (! [D] :  (v3_ordinal1(D) =>  ( (r1_ordinal1(C, D) & r2_tarski(D, k9_xtuple_0(B)))  => k1_funct_1(B, D)=k5_ordinal1) ) ) ) ) ) ) )  &  ( ~ (A=k5_ordinal1)  =>  (r1_ordinal2(A, B) <=>  (! [C] :  (v3_ordinal1(C) =>  (! [D] :  (v3_ordinal1(D) =>  ~ ( (r2_tarski(C, A) &  (r2_tarski(A, D) &  (! [E] :  (v3_ordinal1(E) =>  ~ ( (r2_tarski(E, k9_xtuple_0(B)) &  (! [F] :  (v3_ordinal1(F) =>  ( (r1_ordinal1(E, F) & r2_tarski(F, k9_xtuple_0(B)))  =>  (r2_tarski(C, k1_funct_1(B, F)) & r2_tarski(k1_funct_1(B, F), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_ordinal2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  =>  ( (? [B] :  (v3_ordinal1(B) & r1_ordinal2(B, A)) )  =>  (! [B] :  (v3_ordinal1(B) =>  (B=k8_ordinal2(A) <=> r1_ordinal2(B, A)) ) ) ) ) ) ).
fof(d11_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_ordinal2(B)) ) )  => k9_ordinal2(A, B)=k8_ordinal2(k5_relat_1(B, A))) ) ) ) ).
fof(d12_ordinal2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  =>  (v2_ordinal2(A) <=>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  ( (r2_tarski(B, C) & r2_tarski(C, k9_xtuple_0(A)))  => r2_tarski(k1_funct_1(A, B), k1_funct_1(A, C))) ) ) ) ) ) ) ) ).
fof(d13_ordinal2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  =>  (v3_ordinal2(A) <=>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  ( (r2_tarski(B, k9_xtuple_0(A)) &  (v4_ordinal1(B) & C=k1_funct_1(A, B)) )  =>  (B=k5_ordinal1 | r1_ordinal2(C, k5_relat_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(d14_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (C=k10_ordinal2(A, B) <=>  (? [D] :  ( (v1_relat_1(D) &  (v5_ordinal1(D) &  (v1_funct_1(D) & v1_ordinal2(D)) ) )  &  (C=k1_ordinal2(D) &  (k9_xtuple_0(D)=k1_ordinal1(B) &  (k1_funct_1(D, k5_ordinal1)=A &  ( (! [E] :  (v3_ordinal1(E) =>  (r2_tarski(k1_ordinal1(E), k1_ordinal1(B)) => k1_funct_1(D, k1_ordinal1(E))=k1_ordinal1(k1_funct_1(D, E))) ) )  &  (! [E] :  (v3_ordinal1(E) =>  ( (r2_tarski(E, k1_ordinal1(B)) & v4_ordinal1(E))  =>  (E=k5_ordinal1 | k1_funct_1(D, E)=k4_ordinal2(k5_relat_1(D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (C=k11_ordinal2(A, B) <=>  (? [D] :  ( (v1_relat_1(D) &  (v5_ordinal1(D) &  (v1_funct_1(D) & v1_ordinal2(D)) ) )  &  (C=k1_ordinal2(D) &  (k9_xtuple_0(D)=k1_ordinal1(A) &  (k1_funct_1(D, k5_ordinal1)=k5_ordinal1 &  ( (! [E] :  (v3_ordinal1(E) =>  (r2_tarski(k1_ordinal1(E), k1_ordinal1(A)) => k1_funct_1(D, k1_ordinal1(E))=k10_ordinal2(k1_funct_1(D, E), B)) ) )  &  (! [E] :  (v3_ordinal1(E) =>  ( (r2_tarski(E, k1_ordinal1(A)) & v4_ordinal1(E))  =>  (E=k5_ordinal1 | k1_funct_1(D, E)=k3_tarski(k4_ordinal2(k5_relat_1(D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (C=k12_ordinal2(A, B) <=>  (? [D] :  ( (v1_relat_1(D) &  (v5_ordinal1(D) &  (v1_funct_1(D) & v1_ordinal2(D)) ) )  &  (C=k1_ordinal2(D) &  (k9_xtuple_0(D)=k1_ordinal1(B) &  (k1_funct_1(D, k5_ordinal1)=1 &  ( (! [E] :  (v3_ordinal1(E) =>  (r2_tarski(k1_ordinal1(E), k1_ordinal1(B)) => k1_funct_1(D, k1_ordinal1(E))=k11_ordinal2(A, k1_funct_1(D, E))) ) )  &  (! [E] :  (v3_ordinal1(E) =>  ( (r2_tarski(E, k1_ordinal1(B)) & v4_ordinal1(E))  =>  (E=k5_ordinal1 | k1_funct_1(D, E)=k8_ordinal2(k5_relat_1(D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) => k10_ordinal2(A, k5_ordinal1)=A) ) ).
fof(t28_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) => k10_ordinal2(A, k1_ordinal1(B))=k1_ordinal1(k10_ordinal2(A, B))) ) ) ) ).
fof(t29_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (v4_ordinal1(B) =>  (B=k5_ordinal1 |  (! [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_ordinal2(C)) ) )  =>  ( (k9_xtuple_0(C)=B &  (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(D, B) => k1_funct_1(C, D)=k10_ordinal2(A, D)) ) ) )  => k10_ordinal2(A, B)=k4_ordinal2(C)) ) ) ) ) ) ) ) ) ).
fof(t30_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) => k10_ordinal2(k5_ordinal1, A)=A) ) ).
fof(t31_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) => k10_ordinal2(A, 1)=k1_ordinal1(A)) ) ).
fof(t32_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(A, B) => r2_tarski(k10_ordinal2(C, A), k10_ordinal2(C, B))) ) ) ) ) ) ) ).
fof(t33_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (r1_ordinal1(A, B) => r1_ordinal1(k10_ordinal2(C, A), k10_ordinal2(C, B))) ) ) ) ) ) ) ).
fof(t34_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (r1_ordinal1(A, B) => r1_ordinal1(k10_ordinal2(A, C), k10_ordinal2(B, C))) ) ) ) ) ) ) ).
fof(t35_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) => k11_ordinal2(k5_ordinal1, A)=k5_ordinal1) ) ).
fof(t36_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) => k11_ordinal2(k1_ordinal1(B), A)=k10_ordinal2(k11_ordinal2(B, A), A)) ) ) ) ).
fof(t37_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (v4_ordinal1(B) =>  (B=k5_ordinal1 |  (! [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_ordinal2(C)) ) )  =>  ( (k9_xtuple_0(C)=B &  (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(D, B) => k1_funct_1(C, D)=k11_ordinal2(D, A)) ) ) )  => k11_ordinal2(B, A)=k3_tarski(k4_ordinal2(C))) ) ) ) ) ) ) ) ) ).
fof(t38_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) => k11_ordinal2(A, k5_ordinal1)=k5_ordinal1) ) ).
fof(t39_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (k11_ordinal2(1, A)=A & k11_ordinal2(A, 1)=A) ) ) ).
fof(t40_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(A, B) =>  (C=k5_ordinal1 | r2_tarski(k11_ordinal2(A, C), k11_ordinal2(B, C))) ) ) ) ) ) ) ) ).
fof(t41_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (r1_ordinal1(A, B) => r1_ordinal1(k11_ordinal2(A, C), k11_ordinal2(B, C))) ) ) ) ) ) ) ).
fof(t42_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (r1_ordinal1(A, B) => r1_ordinal1(k11_ordinal2(C, A), k11_ordinal2(C, B))) ) ) ) ) ) ) ).
fof(t43_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) => k12_ordinal2(A, k5_ordinal1)=1) ) ).
fof(t44_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) => k12_ordinal2(A, k1_ordinal1(B))=k11_ordinal2(A, k12_ordinal2(A, B))) ) ) ) ).
fof(t45_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (v4_ordinal1(B) =>  (B=k5_ordinal1 |  (! [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_ordinal2(C)) ) )  =>  ( (k9_xtuple_0(C)=B &  (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(D, B) => k1_funct_1(C, D)=k12_ordinal2(A, D)) ) ) )  => k12_ordinal2(A, B)=k8_ordinal2(C)) ) ) ) ) ) ) ) ) ).
fof(t46_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (k12_ordinal2(A, 1)=A & k12_ordinal2(1, A)=1) ) ) ).
fof(t47_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (? [B] :  (v3_ordinal1(B) &  (? [C] :  (v3_ordinal1(C) &  (v4_ordinal1(B) &  (v7_ordinal1(C) & A=k10_ordinal2(B, C)) ) ) ) ) ) ) ) ).
fof(d17_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (r2_ordinal2(A, B) <=>  (? [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_ordinal2(C)) ) )  &  (k9_xtuple_0(C)=B &  (r1_tarski(k10_xtuple_0(C), A) &  (v2_ordinal2(C) & A=k4_ordinal2(C)) ) ) ) ) ) ) ) ) ) ).
fof(t48_ordinal2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  =>  (! [B] :  (r2_tarski(B, k10_xtuple_0(A)) => v3_ordinal1(B)) ) ) ) ).
fof(t49_ordinal2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  => r1_tarski(k10_xtuple_0(A), k4_ordinal2(A))) ) ).
fof(t50_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (r2_ordinal2(A, k5_ordinal1) => A=k5_ordinal1) ) ) ).
fof(s1_ordinal2, axiom,  ( (p1_s1_ordinal2(k5_ordinal1) &  ( (! [A] :  (v3_ordinal1(A) =>  (p1_s1_ordinal2(A) => p1_s1_ordinal2(k1_ordinal1(A))) ) )  &  (! [A] :  (v3_ordinal1(A) =>  ( (v4_ordinal1(A) &  (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(B, A) => p1_s1_ordinal2(B)) ) ) )  =>  (A=k5_ordinal1 | p1_s1_ordinal2(A)) ) ) ) ) )  =>  (! [A] :  (v3_ordinal1(A) => p1_s1_ordinal2(A)) ) ) ).
fof(s2_ordinal2, axiom,  (? [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) )  &  (k9_xtuple_0(A)=f1_s2_ordinal2 &  (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(B, f1_s2_ordinal2) => k1_funct_1(A, B)=f2_s2_ordinal2(B)) ) ) ) ) ) ).
fof(s3_ordinal2, axiom,  (? [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  &  (k9_xtuple_0(A)=f1_s3_ordinal2 &  (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(B, f1_s3_ordinal2) => k1_funct_1(A, B)=f2_s3_ordinal2(B)) ) ) ) ) ) ).
fof(s4_ordinal2, axiom,  ( (k9_xtuple_0(f5_s4_ordinal2)=f1_s4_ordinal2 &  ( (r2_tarski(k5_ordinal1, f1_s4_ordinal2) => k1_funct_1(f5_s4_ordinal2, k5_ordinal1)=f2_s4_ordinal2)  &  ( (! [A] :  (v3_ordinal1(A) =>  (r2_tarski(k1_ordinal1(A), f1_s4_ordinal2) => k1_funct_1(f5_s4_ordinal2, k1_ordinal1(A))=f3_s4_ordinal2(A, k1_funct_1(f5_s4_ordinal2, A))) ) )  &  ( (! [A] :  (v3_ordinal1(A) =>  ( (r2_tarski(A, f1_s4_ordinal2) & v4_ordinal1(A))  =>  (A=k5_ordinal1 | k1_funct_1(f5_s4_ordinal2, A)=f4_s4_ordinal2(A, k5_relat_1(f5_s4_ordinal2, A))) ) ) )  &  (k9_xtuple_0(f6_s4_ordinal2)=f1_s4_ordinal2 &  ( (r2_tarski(k5_ordinal1, f1_s4_ordinal2) => k1_funct_1(f6_s4_ordinal2, k5_ordinal1)=f2_s4_ordinal2)  &  ( (! [A] :  (v3_ordinal1(A) =>  (r2_tarski(k1_ordinal1(A), f1_s4_ordinal2) => k1_funct_1(f6_s4_ordinal2, k1_ordinal1(A))=f3_s4_ordinal2(A, k1_funct_1(f6_s4_ordinal2, A))) ) )  &  (! [A] :  (v3_ordinal1(A) =>  ( (r2_tarski(A, f1_s4_ordinal2) & v4_ordinal1(A))  =>  (A=k5_ordinal1 | k1_funct_1(f6_s4_ordinal2, A)=f4_s4_ordinal2(A, k5_relat_1(f6_s4_ordinal2, A))) ) ) ) ) ) ) ) ) ) )  => f5_s4_ordinal2=f6_s4_ordinal2) ).
fof(s5_ordinal2, axiom,  (? [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) )  &  (k9_xtuple_0(A)=f1_s5_ordinal2 &  ( (r2_tarski(k5_ordinal1, f1_s5_ordinal2) => k1_funct_1(A, k5_ordinal1)=f2_s5_ordinal2)  &  ( (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(k1_ordinal1(B), f1_s5_ordinal2) => k1_funct_1(A, k1_ordinal1(B))=f3_s5_ordinal2(B, k1_funct_1(A, B))) ) )  &  (! [B] :  (v3_ordinal1(B) =>  ( (r2_tarski(B, f1_s5_ordinal2) & v4_ordinal1(B))  =>  (B=k5_ordinal1 | k1_funct_1(A, B)=f4_s5_ordinal2(B, k5_relat_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(s6_ordinal2, axiom,  ( ( (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (B=f2_s6_ordinal2(A) <=>  (? [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) & v1_funct_1(C)) )  &  (B=k1_ordinal2(C) &  (k9_xtuple_0(C)=k1_ordinal1(A) &  (k1_funct_1(C, k5_ordinal1)=f4_s6_ordinal2 &  ( (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(k1_ordinal1(D), k1_ordinal1(A)) => k1_funct_1(C, k1_ordinal1(D))=f5_s6_ordinal2(D, k1_funct_1(C, D))) ) )  &  (! [D] :  (v3_ordinal1(D) =>  ( (r2_tarski(D, k1_ordinal1(A)) & v4_ordinal1(D))  =>  (D=k5_ordinal1 | k1_funct_1(C, D)=f6_s6_ordinal2(D, k5_relat_1(C, D))) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (k9_xtuple_0(f1_s6_ordinal2)=f3_s6_ordinal2 &  ( (r2_tarski(k5_ordinal1, f3_s6_ordinal2) => k1_funct_1(f1_s6_ordinal2, k5_ordinal1)=f4_s6_ordinal2)  &  ( (! [A] :  (v3_ordinal1(A) =>  (r2_tarski(k1_ordinal1(A), f3_s6_ordinal2) => k1_funct_1(f1_s6_ordinal2, k1_ordinal1(A))=f5_s6_ordinal2(A, k1_funct_1(f1_s6_ordinal2, A))) ) )  &  (! [A] :  (v3_ordinal1(A) =>  ( (r2_tarski(A, f3_s6_ordinal2) & v4_ordinal1(A))  =>  (A=k5_ordinal1 | k1_funct_1(f1_s6_ordinal2, A)=f6_s6_ordinal2(A, k5_relat_1(f1_s6_ordinal2, A))) ) ) ) ) ) ) )  =>  (! [A] :  (v3_ordinal1(A) =>  (r2_tarski(A, k9_xtuple_0(f1_s6_ordinal2)) => k1_funct_1(f1_s6_ordinal2, A)=f2_s6_ordinal2(A)) ) ) ) ).
fof(s7_ordinal2, axiom,  ( (? [A] :  (? [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) & v1_funct_1(B)) )  &  (A=k1_ordinal2(B) &  (k9_xtuple_0(B)=k1_ordinal1(f1_s7_ordinal2) &  (k1_funct_1(B, k5_ordinal1)=f2_s7_ordinal2 &  ( (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(k1_ordinal1(C), k1_ordinal1(f1_s7_ordinal2)) => k1_funct_1(B, k1_ordinal1(C))=f3_s7_ordinal2(C, k1_funct_1(B, C))) ) )  &  (! [C] :  (v3_ordinal1(C) =>  ( (r2_tarski(C, k1_ordinal1(f1_s7_ordinal2)) & v4_ordinal1(C))  =>  (C=k5_ordinal1 | k1_funct_1(B, C)=f4_s7_ordinal2(C, k5_relat_1(B, C))) ) ) ) ) ) ) ) ) ) )  &  (! [A] :  (! [B] :  ~ ( ( (? [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) & v1_funct_1(C)) )  &  (A=k1_ordinal2(C) &  (k9_xtuple_0(C)=k1_ordinal1(f1_s7_ordinal2) &  (k1_funct_1(C, k5_ordinal1)=f2_s7_ordinal2 &  ( (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(k1_ordinal1(D), k1_ordinal1(f1_s7_ordinal2)) => k1_funct_1(C, k1_ordinal1(D))=f3_s7_ordinal2(D, k1_funct_1(C, D))) ) )  &  (! [D] :  (v3_ordinal1(D) =>  ( (r2_tarski(D, k1_ordinal1(f1_s7_ordinal2)) & v4_ordinal1(D))  =>  (D=k5_ordinal1 | k1_funct_1(C, D)=f4_s7_ordinal2(D, k5_relat_1(C, D))) ) ) ) ) ) ) ) ) )  &  ( (? [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) & v1_funct_1(C)) )  &  (B=k1_ordinal2(C) &  (k9_xtuple_0(C)=k1_ordinal1(f1_s7_ordinal2) &  (k1_funct_1(C, k5_ordinal1)=f2_s7_ordinal2 &  ( (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(k1_ordinal1(D), k1_ordinal1(f1_s7_ordinal2)) => k1_funct_1(C, k1_ordinal1(D))=f3_s7_ordinal2(D, k1_funct_1(C, D))) ) )  &  (! [D] :  (v3_ordinal1(D) =>  ( (r2_tarski(D, k1_ordinal1(f1_s7_ordinal2)) & v4_ordinal1(D))  =>  (D=k5_ordinal1 | k1_funct_1(C, D)=f4_s7_ordinal2(D, k5_relat_1(C, D))) ) ) ) ) ) ) ) ) )  &  ~ (A=B) ) ) ) ) ) ) ).
fof(s8_ordinal2, axiom,  ( (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (B=f1_s8_ordinal2(A) <=>  (? [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) & v1_funct_1(C)) )  &  (B=k1_ordinal2(C) &  (k9_xtuple_0(C)=k1_ordinal1(A) &  (k1_funct_1(C, k5_ordinal1)=f2_s8_ordinal2 &  ( (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(k1_ordinal1(D), k1_ordinal1(A)) => k1_funct_1(C, k1_ordinal1(D))=f3_s8_ordinal2(D, k1_funct_1(C, D))) ) )  &  (! [D] :  (v3_ordinal1(D) =>  ( (r2_tarski(D, k1_ordinal1(A)) & v4_ordinal1(D))  =>  (D=k5_ordinal1 | k1_funct_1(C, D)=f4_s8_ordinal2(D, k5_relat_1(C, D))) ) ) ) ) ) ) ) ) ) ) ) ) )  => f1_s8_ordinal2(k5_ordinal1)=f2_s8_ordinal2) ).
fof(s9_ordinal2, axiom,  ( (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (B=f4_s9_ordinal2(A) <=>  (? [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) & v1_funct_1(C)) )  &  (B=k1_ordinal2(C) &  (k9_xtuple_0(C)=k1_ordinal1(A) &  (k1_funct_1(C, k5_ordinal1)=f1_s9_ordinal2 &  ( (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(k1_ordinal1(D), k1_ordinal1(A)) => k1_funct_1(C, k1_ordinal1(D))=f2_s9_ordinal2(D, k1_funct_1(C, D))) ) )  &  (! [D] :  (v3_ordinal1(D) =>  ( (r2_tarski(D, k1_ordinal1(A)) & v4_ordinal1(D))  =>  (D=k5_ordinal1 | k1_funct_1(C, D)=f3_s9_ordinal2(D, k5_relat_1(C, D))) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [A] :  (v3_ordinal1(A) => f4_s9_ordinal2(k1_ordinal1(A))=f2_s9_ordinal2(A, f4_s9_ordinal2(A))) ) ) ).
fof(s10_ordinal2, axiom,  ( ( (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (B=f3_s10_ordinal2(A) <=>  (? [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) & v1_funct_1(C)) )  &  (B=k1_ordinal2(C) &  (k9_xtuple_0(C)=k1_ordinal1(A) &  (k1_funct_1(C, k5_ordinal1)=f4_s10_ordinal2 &  ( (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(k1_ordinal1(D), k1_ordinal1(A)) => k1_funct_1(C, k1_ordinal1(D))=f5_s10_ordinal2(D, k1_funct_1(C, D))) ) )  &  (! [D] :  (v3_ordinal1(D) =>  ( (r2_tarski(D, k1_ordinal1(A)) & v4_ordinal1(D))  =>  (D=k5_ordinal1 | k1_funct_1(C, D)=f6_s10_ordinal2(D, k5_relat_1(C, D))) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (f2_s10_ordinal2=k5_ordinal1)  & v4_ordinal1(f2_s10_ordinal2))  &  (k9_xtuple_0(f1_s10_ordinal2)=f2_s10_ordinal2 &  (! [A] :  (v3_ordinal1(A) =>  (r2_tarski(A, f2_s10_ordinal2) => k1_funct_1(f1_s10_ordinal2, A)=f3_s10_ordinal2(A)) ) ) ) ) )  => f3_s10_ordinal2(f2_s10_ordinal2)=f6_s10_ordinal2(f2_s10_ordinal2, f1_s10_ordinal2)) ).
fof(s11_ordinal2, axiom,  (? [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  &  (k9_xtuple_0(A)=f1_s11_ordinal2 &  ( (r2_tarski(k5_ordinal1, f1_s11_ordinal2) => k1_funct_1(A, k5_ordinal1)=f2_s11_ordinal2)  &  ( (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(k1_ordinal1(B), f1_s11_ordinal2) => k1_funct_1(A, k1_ordinal1(B))=f3_s11_ordinal2(B, k1_funct_1(A, B))) ) )  &  (! [B] :  (v3_ordinal1(B) =>  ( (r2_tarski(B, f1_s11_ordinal2) & v4_ordinal1(B))  =>  (B=k5_ordinal1 | k1_funct_1(A, B)=f4_s11_ordinal2(B, k5_relat_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(s12_ordinal2, axiom,  ( ( (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (B=f2_s12_ordinal2(A) <=>  (? [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_ordinal2(C)) ) )  &  (B=k1_ordinal2(C) &  (k9_xtuple_0(C)=k1_ordinal1(A) &  (k1_funct_1(C, k5_ordinal1)=f4_s12_ordinal2 &  ( (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(k1_ordinal1(D), k1_ordinal1(A)) => k1_funct_1(C, k1_ordinal1(D))=f5_s12_ordinal2(D, k1_funct_1(C, D))) ) )  &  (! [D] :  (v3_ordinal1(D) =>  ( (r2_tarski(D, k1_ordinal1(A)) & v4_ordinal1(D))  =>  (D=k5_ordinal1 | k1_funct_1(C, D)=f6_s12_ordinal2(D, k5_relat_1(C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (k9_xtuple_0(f1_s12_ordinal2)=f3_s12_ordinal2 &  ( (r2_tarski(k5_ordinal1, f3_s12_ordinal2) => k1_funct_1(f1_s12_ordinal2, k5_ordinal1)=f4_s12_ordinal2)  &  ( (! [A] :  (v3_ordinal1(A) =>  (r2_tarski(k1_ordinal1(A), f3_s12_ordinal2) => k1_funct_1(f1_s12_ordinal2, k1_ordinal1(A))=f5_s12_ordinal2(A, k1_funct_1(f1_s12_ordinal2, A))) ) )  &  (! [A] :  (v3_ordinal1(A) =>  ( (r2_tarski(A, f3_s12_ordinal2) & v4_ordinal1(A))  =>  (A=k5_ordinal1 | k1_funct_1(f1_s12_ordinal2, A)=f6_s12_ordinal2(A, k5_relat_1(f1_s12_ordinal2, A))) ) ) ) ) ) ) )  =>  (! [A] :  (v3_ordinal1(A) =>  (r2_tarski(A, k9_xtuple_0(f1_s12_ordinal2)) => k1_funct_1(f1_s12_ordinal2, A)=f2_s12_ordinal2(A)) ) ) ) ).
fof(s13_ordinal2, axiom,  ( (? [A] :  (v3_ordinal1(A) &  (? [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_ordinal2(B)) ) )  &  (A=k1_ordinal2(B) &  (k9_xtuple_0(B)=k1_ordinal1(f1_s13_ordinal2) &  (k1_funct_1(B, k5_ordinal1)=f2_s13_ordinal2 &  ( (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(k1_ordinal1(C), k1_ordinal1(f1_s13_ordinal2)) => k1_funct_1(B, k1_ordinal1(C))=f3_s13_ordinal2(C, k1_funct_1(B, C))) ) )  &  (! [C] :  (v3_ordinal1(C) =>  ( (r2_tarski(C, k1_ordinal1(f1_s13_ordinal2)) & v4_ordinal1(C))  =>  (C=k5_ordinal1 | k1_funct_1(B, C)=f4_s13_ordinal2(C, k5_relat_1(B, C))) ) ) ) ) ) ) ) ) ) ) )  &  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  ~ ( ( (? [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_ordinal2(C)) ) )  &  (A=k1_ordinal2(C) &  (k9_xtuple_0(C)=k1_ordinal1(f1_s13_ordinal2) &  (k1_funct_1(C, k5_ordinal1)=f2_s13_ordinal2 &  ( (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(k1_ordinal1(D), k1_ordinal1(f1_s13_ordinal2)) => k1_funct_1(C, k1_ordinal1(D))=f3_s13_ordinal2(D, k1_funct_1(C, D))) ) )  &  (! [D] :  (v3_ordinal1(D) =>  ( (r2_tarski(D, k1_ordinal1(f1_s13_ordinal2)) & v4_ordinal1(D))  =>  (D=k5_ordinal1 | k1_funct_1(C, D)=f4_s13_ordinal2(D, k5_relat_1(C, D))) ) ) ) ) ) ) ) ) )  &  ( (? [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_ordinal2(C)) ) )  &  (B=k1_ordinal2(C) &  (k9_xtuple_0(C)=k1_ordinal1(f1_s13_ordinal2) &  (k1_funct_1(C, k5_ordinal1)=f2_s13_ordinal2 &  ( (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(k1_ordinal1(D), k1_ordinal1(f1_s13_ordinal2)) => k1_funct_1(C, k1_ordinal1(D))=f3_s13_ordinal2(D, k1_funct_1(C, D))) ) )  &  (! [D] :  (v3_ordinal1(D) =>  ( (r2_tarski(D, k1_ordinal1(f1_s13_ordinal2)) & v4_ordinal1(D))  =>  (D=k5_ordinal1 | k1_funct_1(C, D)=f4_s13_ordinal2(D, k5_relat_1(C, D))) ) ) ) ) ) ) ) ) )  &  ~ (A=B) ) ) ) ) ) ) ) ) ).
fof(s14_ordinal2, axiom,  ( (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (B=f1_s14_ordinal2(A) <=>  (? [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_ordinal2(C)) ) )  &  (B=k1_ordinal2(C) &  (k9_xtuple_0(C)=k1_ordinal1(A) &  (k1_funct_1(C, k5_ordinal1)=f2_s14_ordinal2 &  ( (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(k1_ordinal1(D), k1_ordinal1(A)) => k1_funct_1(C, k1_ordinal1(D))=f3_s14_ordinal2(D, k1_funct_1(C, D))) ) )  &  (! [D] :  (v3_ordinal1(D) =>  ( (r2_tarski(D, k1_ordinal1(A)) & v4_ordinal1(D))  =>  (D=k5_ordinal1 | k1_funct_1(C, D)=f4_s14_ordinal2(D, k5_relat_1(C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) )  => f1_s14_ordinal2(k5_ordinal1)=f2_s14_ordinal2) ).
fof(s15_ordinal2, axiom,  ( (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (B=f4_s15_ordinal2(A) <=>  (? [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_ordinal2(C)) ) )  &  (B=k1_ordinal2(C) &  (k9_xtuple_0(C)=k1_ordinal1(A) &  (k1_funct_1(C, k5_ordinal1)=f1_s15_ordinal2 &  ( (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(k1_ordinal1(D), k1_ordinal1(A)) => k1_funct_1(C, k1_ordinal1(D))=f2_s15_ordinal2(D, k1_funct_1(C, D))) ) )  &  (! [D] :  (v3_ordinal1(D) =>  ( (r2_tarski(D, k1_ordinal1(A)) & v4_ordinal1(D))  =>  (D=k5_ordinal1 | k1_funct_1(C, D)=f3_s15_ordinal2(D, k5_relat_1(C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [A] :  (v3_ordinal1(A) => f4_s15_ordinal2(k1_ordinal1(A))=f2_s15_ordinal2(A, f4_s15_ordinal2(A))) ) ) ).
fof(s16_ordinal2, axiom,  ( ( (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (B=f3_s16_ordinal2(A) <=>  (? [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_ordinal2(C)) ) )  &  (B=k1_ordinal2(C) &  (k9_xtuple_0(C)=k1_ordinal1(A) &  (k1_funct_1(C, k5_ordinal1)=f4_s16_ordinal2 &  ( (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(k1_ordinal1(D), k1_ordinal1(A)) => k1_funct_1(C, k1_ordinal1(D))=f5_s16_ordinal2(D, k1_funct_1(C, D))) ) )  &  (! [D] :  (v3_ordinal1(D) =>  ( (r2_tarski(D, k1_ordinal1(A)) & v4_ordinal1(D))  =>  (D=k5_ordinal1 | k1_funct_1(C, D)=f6_s16_ordinal2(D, k5_relat_1(C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (f2_s16_ordinal2=k5_ordinal1)  & v4_ordinal1(f2_s16_ordinal2))  &  (k9_xtuple_0(f1_s16_ordinal2)=f2_s16_ordinal2 &  (! [A] :  (v3_ordinal1(A) =>  (r2_tarski(A, f2_s16_ordinal2) => k1_funct_1(f1_s16_ordinal2, A)=f3_s16_ordinal2(A)) ) ) ) ) )  => f3_s16_ordinal2(f2_s16_ordinal2)=f6_s16_ordinal2(f2_s16_ordinal2, f1_s16_ordinal2)) ).
fof(s17_ordinal2, axiom,  ( (p1_s17_ordinal2(k5_ordinal1) &  (! [A] :  (v7_ordinal1(A) =>  (p1_s17_ordinal2(A) => p1_s17_ordinal2(k1_ordinal1(A))) ) ) )  => p1_s17_ordinal2(f1_s17_ordinal2)) ).
fof(s18_ordinal2, axiom,  (? [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  &  (k9_xtuple_0(A)=k4_ordinal1 &  (k1_funct_1(A, k5_ordinal1)=f1_s18_ordinal2 &  (! [B] :  (v7_ordinal1(B) => k1_funct_1(A, k1_ordinal1(B))=f2_s18_ordinal2(B, k1_funct_1(A, B))) ) ) ) ) ) ).
fof(s19_ordinal2, axiom,  ( (k9_xtuple_0(f2_s19_ordinal2)=k4_ordinal1 &  (k1_funct_1(f2_s19_ordinal2, k5_ordinal1)=f1_s19_ordinal2 &  ( (! [A] :  (v7_ordinal1(A) => p1_s19_ordinal2(A, k1_funct_1(f2_s19_ordinal2, A), k1_funct_1(f2_s19_ordinal2, k1_ordinal1(A)))) )  &  (k9_xtuple_0(f3_s19_ordinal2)=k4_ordinal1 &  (k1_funct_1(f3_s19_ordinal2, k5_ordinal1)=f1_s19_ordinal2 &  ( (! [A] :  (v7_ordinal1(A) => p1_s19_ordinal2(A, k1_funct_1(f3_s19_ordinal2, A), k1_funct_1(f3_s19_ordinal2, k1_ordinal1(A)))) )  &  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  (! [D] :  ( (p1_s19_ordinal2(A, B, C) & p1_s19_ordinal2(A, B, D))  => C=D) ) ) ) ) ) ) ) ) ) ) )  => f2_s19_ordinal2=f3_s19_ordinal2) ).
fof(s20_ordinal2, axiom,  ( (k9_xtuple_0(f3_s20_ordinal2)=k4_ordinal1 &  (k1_funct_1(f3_s20_ordinal2, k5_ordinal1)=f1_s20_ordinal2 &  ( (! [A] :  (v7_ordinal1(A) => k1_funct_1(f3_s20_ordinal2, k1_ordinal1(A))=f2_s20_ordinal2(A, k1_funct_1(f3_s20_ordinal2, A))) )  &  (k9_xtuple_0(f4_s20_ordinal2)=k4_ordinal1 &  (k1_funct_1(f4_s20_ordinal2, k5_ordinal1)=f1_s20_ordinal2 &  (! [A] :  (v7_ordinal1(A) => k1_funct_1(f4_s20_ordinal2, k1_ordinal1(A))=f2_s20_ordinal2(A, k1_funct_1(f4_s20_ordinal2, A))) ) ) ) ) ) )  => f3_s20_ordinal2=f4_s20_ordinal2) ).
fof(dt_k2_ordinal2, axiom,  (! [A] : v3_ordinal1(k2_ordinal2(A))) ).
fof(dt_k3_ordinal2, axiom,  (! [A] : v3_ordinal1(k3_ordinal2(A))) ).
fof(dt_f1_s2_ordinal2, axiom, v3_ordinal1(f1_s2_ordinal2)).
fof(dt_f1_s3_ordinal2, axiom, v3_ordinal1(f1_s3_ordinal2)).
fof(dt_f2_s3_ordinal2, axiom,  (! [A] : v3_ordinal1(f2_s3_ordinal2(A))) ).
fof(dt_f1_s4_ordinal2, axiom, v3_ordinal1(f1_s4_ordinal2)).
fof(dt_f5_s4_ordinal2, axiom,  (v1_relat_1(f5_s4_ordinal2) &  (v5_ordinal1(f5_s4_ordinal2) & v1_funct_1(f5_s4_ordinal2)) ) ).
fof(dt_f6_s4_ordinal2, axiom,  (v1_relat_1(f6_s4_ordinal2) &  (v5_ordinal1(f6_s4_ordinal2) & v1_funct_1(f6_s4_ordinal2)) ) ).
fof(dt_f1_s5_ordinal2, axiom, v3_ordinal1(f1_s5_ordinal2)).
fof(dt_f1_s6_ordinal2, axiom,  (v1_relat_1(f1_s6_ordinal2) &  (v5_ordinal1(f1_s6_ordinal2) & v1_funct_1(f1_s6_ordinal2)) ) ).
fof(dt_f3_s6_ordinal2, axiom, v3_ordinal1(f3_s6_ordinal2)).
fof(dt_f1_s7_ordinal2, axiom, v3_ordinal1(f1_s7_ordinal2)).
fof(dt_f1_s10_ordinal2, axiom,  (v1_relat_1(f1_s10_ordinal2) &  (v5_ordinal1(f1_s10_ordinal2) & v1_funct_1(f1_s10_ordinal2)) ) ).
fof(dt_f2_s10_ordinal2, axiom, v3_ordinal1(f2_s10_ordinal2)).
fof(dt_f1_s11_ordinal2, axiom, v3_ordinal1(f1_s11_ordinal2)).
fof(dt_f2_s11_ordinal2, axiom, v3_ordinal1(f2_s11_ordinal2)).
fof(dt_f3_s11_ordinal2, axiom,  (! [A, B] : v3_ordinal1(f3_s11_ordinal2(A, B))) ).
fof(dt_f4_s11_ordinal2, axiom,  (! [A, B] : v3_ordinal1(f4_s11_ordinal2(A, B))) ).
fof(dt_f1_s12_ordinal2, axiom,  (v1_relat_1(f1_s12_ordinal2) &  (v5_ordinal1(f1_s12_ordinal2) &  (v1_funct_1(f1_s12_ordinal2) & v1_ordinal2(f1_s12_ordinal2)) ) ) ).
fof(dt_f2_s12_ordinal2, axiom,  (! [A] : v3_ordinal1(f2_s12_ordinal2(A))) ).
fof(dt_f3_s12_ordinal2, axiom, v3_ordinal1(f3_s12_ordinal2)).
fof(dt_f4_s12_ordinal2, axiom, v3_ordinal1(f4_s12_ordinal2)).
fof(dt_f5_s12_ordinal2, axiom,  (! [A, B] : v3_ordinal1(f5_s12_ordinal2(A, B))) ).
fof(dt_f6_s12_ordinal2, axiom,  (! [A, B] : v3_ordinal1(f6_s12_ordinal2(A, B))) ).
fof(dt_f1_s13_ordinal2, axiom, v3_ordinal1(f1_s13_ordinal2)).
fof(dt_f2_s13_ordinal2, axiom, v3_ordinal1(f2_s13_ordinal2)).
fof(dt_f3_s13_ordinal2, axiom,  (! [A, B] : v3_ordinal1(f3_s13_ordinal2(A, B))) ).
fof(dt_f4_s13_ordinal2, axiom,  (! [A, B] : v3_ordinal1(f4_s13_ordinal2(A, B))) ).
fof(dt_f1_s14_ordinal2, axiom,  (! [A] : v3_ordinal1(f1_s14_ordinal2(A))) ).
fof(dt_f2_s14_ordinal2, axiom, v3_ordinal1(f2_s14_ordinal2)).
fof(dt_f3_s14_ordinal2, axiom,  (! [A, B] : v3_ordinal1(f3_s14_ordinal2(A, B))) ).
fof(dt_f4_s14_ordinal2, axiom,  (! [A, B] : v3_ordinal1(f4_s14_ordinal2(A, B))) ).
fof(dt_f1_s15_ordinal2, axiom, v3_ordinal1(f1_s15_ordinal2)).
fof(dt_f2_s15_ordinal2, axiom,  (! [A, B] : v3_ordinal1(f2_s15_ordinal2(A, B))) ).
fof(dt_f3_s15_ordinal2, axiom,  (! [A, B] : v3_ordinal1(f3_s15_ordinal2(A, B))) ).
fof(dt_f4_s15_ordinal2, axiom,  (! [A] : v3_ordinal1(f4_s15_ordinal2(A))) ).
fof(dt_f1_s16_ordinal2, axiom,  (v1_relat_1(f1_s16_ordinal2) &  (v5_ordinal1(f1_s16_ordinal2) &  (v1_funct_1(f1_s16_ordinal2) & v1_ordinal2(f1_s16_ordinal2)) ) ) ).
fof(dt_f2_s16_ordinal2, axiom, v3_ordinal1(f2_s16_ordinal2)).
fof(dt_f3_s16_ordinal2, axiom,  (! [A] : v3_ordinal1(f3_s16_ordinal2(A))) ).
fof(dt_f4_s16_ordinal2, axiom, v3_ordinal1(f4_s16_ordinal2)).
fof(dt_f5_s16_ordinal2, axiom,  (! [A, B] : v3_ordinal1(f5_s16_ordinal2(A, B))) ).
fof(dt_f6_s16_ordinal2, axiom,  (! [A, B] : v3_ordinal1(f6_s16_ordinal2(A, B))) ).
fof(dt_k4_ordinal2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) )  => v3_ordinal1(k4_ordinal2(A))) ) ).
fof(dt_k5_ordinal2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) )  => v3_ordinal1(k5_ordinal2(A))) ) ).
fof(dt_k6_ordinal2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) )  => v3_ordinal1(k6_ordinal2(A))) ) ).
fof(dt_k7_ordinal2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) )  => v3_ordinal1(k7_ordinal2(A))) ) ).
fof(dt_k8_ordinal2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  => v3_ordinal1(k8_ordinal2(A))) ) ).
fof(dt_k9_ordinal2, axiom,  (! [A, B] :  ( (v3_ordinal1(A) &  (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_ordinal2(B)) ) ) )  => v3_ordinal1(k9_ordinal2(A, B))) ) ).
fof(dt_k10_ordinal2, axiom,  (! [A, B] :  ( (v3_ordinal1(A) & v3_ordinal1(B))  => v3_ordinal1(k10_ordinal2(A, B))) ) ).
fof(dt_k11_ordinal2, axiom,  (! [A, B] :  ( (v3_ordinal1(A) & v3_ordinal1(B))  => v3_ordinal1(k11_ordinal2(A, B))) ) ).
fof(dt_k12_ordinal2, axiom,  (! [A, B] :  ( (v3_ordinal1(A) & v3_ordinal1(B))  => v3_ordinal1(k12_ordinal2(A, B))) ) ).
fof(reflexivity_r2_ordinal2, axiom,  (! [A, B] :  ( (v3_ordinal1(A) & v3_ordinal1(B))  => r2_ordinal2(A, A)) ) ).
fof(dt_f1_s17_ordinal2, axiom, v7_ordinal1(f1_s17_ordinal2)).
fof(dt_f2_s19_ordinal2, axiom,  (v1_relat_1(f2_s19_ordinal2) & v1_funct_1(f2_s19_ordinal2)) ).
fof(dt_f3_s19_ordinal2, axiom,  (v1_relat_1(f3_s19_ordinal2) & v1_funct_1(f3_s19_ordinal2)) ).
fof(dt_f3_s20_ordinal2, axiom,  (v1_relat_1(f3_s20_ordinal2) & v1_funct_1(f3_s20_ordinal2)) ).
fof(dt_f4_s20_ordinal2, axiom,  (v1_relat_1(f4_s20_ordinal2) & v1_funct_1(f4_s20_ordinal2)) ).
fof(fc1_ordinal3, axiom,  (! [A, B] :  ( (v3_ordinal1(A) & v3_ordinal1(B))  => v3_ordinal1(k2_xboole_0(A, B))) ) ).
fof(fc2_ordinal3, axiom,  (! [A, B] :  ( (v3_ordinal1(A) & v3_ordinal1(B))  => v3_ordinal1(k3_xboole_0(A, B))) ) ).
fof(fc3_ordinal3, axiom,  (! [A, B] :  ( ( (v3_ordinal1(A) & v7_ordinal1(A))  &  (v3_ordinal1(B) & v7_ordinal1(B)) )  =>  (v3_ordinal1(k5_ordinal3(A, B)) & v7_ordinal1(k5_ordinal3(A, B))) ) ) ).
fof(fc4_ordinal3, axiom,  (! [A, B] :  ( ( (v3_ordinal1(A) & v7_ordinal1(A))  &  (v3_ordinal1(B) & v7_ordinal1(B)) )  =>  (v3_ordinal1(k11_ordinal2(A, B)) & v7_ordinal1(k11_ordinal2(A, B))) ) ) ).
fof(t1_ordinal3, axiom,  (! [A] : r1_tarski(A, k1_ordinal1(A))) ).
fof(t2_ordinal3, axiom,  (! [A] :  (! [B] :  (r1_tarski(k1_ordinal1(A), B) => r1_tarski(A, B)) ) ) ).
fof(t3_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(A, B) <=> r2_tarski(k1_ordinal1(A), k1_ordinal1(B))) ) ) ) ) ).
fof(t4_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (r1_tarski(B, A) =>  (v1_ordinal1(k3_tarski(B)) & v2_ordinal1(k3_tarski(B))) ) ) ) ) ).
fof(t5_ordinal3, axiom,  (! [A] :  (v1_ordinal1(k3_tarski(k2_ordinal1(A))) & v2_ordinal1(k3_tarski(k2_ordinal1(A)))) ) ).
fof(t6_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (r1_tarski(B, A) => k2_ordinal1(B)=B) ) ) ) ).
fof(t7_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) => k2_ordinal1(k1_tarski(A))=k1_tarski(A)) ) ).
fof(t8_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  ( ~ (A=k1_xboole_0)  => r2_tarski(k1_xboole_0, A)) ) ) ).
fof(t9_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) => k2_ordinal2(A)=k1_xboole_0) ) ).
fof(t10_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) => k2_ordinal2(k1_tarski(A))=A) ) ).
fof(t11_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (r1_tarski(B, A) => v3_ordinal1(k1_setfam_1(B))) ) ) ) ).
fof(t12_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (k2_xboole_0(A, B)=A | k2_xboole_0(A, B)=B) ) ) ) ) ).
fof(t13_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (k3_xboole_0(A, B)=A | k3_xboole_0(A, B)=B) ) ) ) ) ).
fof(t14_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (r2_tarski(A, 1) => A=k1_xboole_0) ) ) ).
fof(t15_ordinal3, axiom, 1=k1_tarski(k1_xboole_0)).
fof(t16_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  ~ ( (r1_ordinal1(A, 1) &  ( ~ (A=k1_xboole_0)  &  ~ (A=1) ) ) ) ) ) ).
fof(t17_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(C, D) =>  ( ( ~ (r1_ordinal1(A, B))  &  ~ (r2_tarski(A, B)) )  | r2_tarski(k10_ordinal2(A, C), k10_ordinal2(B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t18_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (! [D] :  (v3_ordinal1(D) =>  ( (r1_ordinal1(A, B) & r1_ordinal1(C, D))  => r1_ordinal1(k10_ordinal2(A, C), k10_ordinal2(B, D))) ) ) ) ) ) ) ) ) ).
fof(t19_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(A, B) =>  ( ( ~ ( (r1_ordinal1(C, D) &  ~ (D=k1_xboole_0) ) )  &  ~ (r2_tarski(C, D)) )  | r2_tarski(k11_ordinal2(A, C), k11_ordinal2(B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t20_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (! [D] :  (v3_ordinal1(D) =>  ( (r1_ordinal1(A, B) & r1_ordinal1(C, D))  => r1_ordinal1(k11_ordinal2(A, C), k11_ordinal2(B, D))) ) ) ) ) ) ) ) ) ).
fof(t21_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (k10_ordinal2(A, B)=k10_ordinal2(A, C) => B=C) ) ) ) ) ) ) ).
fof(t22_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(k10_ordinal2(A, B), k10_ordinal2(A, C)) => r2_tarski(B, C)) ) ) ) ) ) ) ).
fof(t23_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (r1_ordinal1(k10_ordinal2(A, B), k10_ordinal2(A, C)) => r1_ordinal1(B, C)) ) ) ) ) ) ) ).
fof(t24_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (r1_ordinal1(A, k10_ordinal2(A, B)) & r1_ordinal1(B, k10_ordinal2(A, B))) ) ) ) ) ).
fof(t25_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(A, B) =>  (r2_tarski(A, k10_ordinal2(B, C)) & r2_tarski(A, k10_ordinal2(C, B))) ) ) ) ) ) ) ) ).
fof(t26_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (k10_ordinal2(A, B)=k1_xboole_0 =>  (A=k1_xboole_0 & B=k1_xboole_0) ) ) ) ) ) ).
fof(t27_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  ~ ( (r1_ordinal1(A, B) &  (! [C] :  (v3_ordinal1(C) =>  ~ (B=k10_ordinal2(A, C)) ) ) ) ) ) ) ) ) ).
fof(t28_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  ~ ( (r2_tarski(A, B) &  (! [C] :  (v3_ordinal1(C) =>  ~ ( (B=k10_ordinal2(A, C) &  ~ (C=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (v4_ordinal1(A) =>  (A=k1_xboole_0 | v4_ordinal1(k10_ordinal2(B, A))) ) ) ) ) ) ).
fof(t30_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) => k10_ordinal2(k10_ordinal2(A, B), C)=k10_ordinal2(A, k10_ordinal2(B, C))) ) ) ) ) ) ).
fof(t31_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  ~ ( (k11_ordinal2(A, B)=k1_xboole_0 &  ( ~ (A=k1_xboole_0)  &  ~ (B=k1_xboole_0) ) ) ) ) ) ) ) ).
fof(t32_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(A, B) =>  (C=k1_xboole_0 |  (r2_tarski(A, k11_ordinal2(B, C)) & r2_tarski(A, k11_ordinal2(C, B))) ) ) ) ) ) ) ) ) ).
fof(t33_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (k11_ordinal2(B, A)=k11_ordinal2(C, A) =>  (A=k1_xboole_0 | B=C) ) ) ) ) ) ) ) ).
fof(t34_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(k11_ordinal2(B, A), k11_ordinal2(C, A)) => r2_tarski(B, C)) ) ) ) ) ) ) ).
fof(t35_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (r1_ordinal1(k11_ordinal2(B, A), k11_ordinal2(C, A)) =>  (A=k1_xboole_0 | r1_ordinal1(B, C)) ) ) ) ) ) ) ) ).
fof(t36_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  ( ~ (B=k1_xboole_0)  =>  (r1_ordinal1(A, k11_ordinal2(A, B)) & r1_ordinal1(A, k11_ordinal2(B, A))) ) ) ) ) ) ).
fof(t37_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (k11_ordinal2(A, B)=1 =>  (A=1 & B=1) ) ) ) ) ) ).
fof(t38_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  ~ ( (r2_tarski(A, k10_ordinal2(B, C)) &  ( ~ (r2_tarski(A, B))  &  (! [D] :  (v3_ordinal1(D) =>  ~ ( (r2_tarski(D, C) & A=k10_ordinal2(B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_ordinal2(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_ordinal2(C)) ) )  =>  (C=k1_ordinal3(A, B) <=>  (k9_xtuple_0(C)=k9_xtuple_0(B) &  (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(D, k9_xtuple_0(B)) => k1_funct_1(C, D)=k10_ordinal2(A, k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_ordinal2(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_ordinal2(C)) ) )  =>  (C=k2_ordinal3(A, B) <=>  (k9_xtuple_0(C)=k9_xtuple_0(B) &  (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(D, k9_xtuple_0(B)) => k1_funct_1(C, D)=k10_ordinal2(k1_funct_1(B, D), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_ordinal2(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_ordinal2(C)) ) )  =>  (C=k3_ordinal3(A, B) <=>  (k9_xtuple_0(C)=k9_xtuple_0(B) &  (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(D, k9_xtuple_0(B)) => k1_funct_1(C, D)=k11_ordinal2(A, k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_ordinal2(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_ordinal2(C)) ) )  =>  (C=k4_ordinal3(A, B) <=>  (k9_xtuple_0(C)=k9_xtuple_0(B) &  (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(D, k9_xtuple_0(B)) => k1_funct_1(C, D)=k11_ordinal2(k1_funct_1(B, D), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_ordinal3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_ordinal2(B)) ) )  =>  (! [C] :  (v3_ordinal1(C) =>  ( (k9_xtuple_0(A)=k9_xtuple_0(B) &  (! [D] :  (v3_ordinal1(D) =>  (! [E] :  (v3_ordinal1(E) =>  ( (r2_tarski(D, k9_xtuple_0(A)) & E=k1_funct_1(A, D))  => k1_funct_1(B, D)=k10_ordinal2(C, E)) ) ) ) ) )  =>  (k1_xboole_0=k9_xtuple_0(A) | k4_ordinal2(B)=k10_ordinal2(C, k4_ordinal2(A))) ) ) ) ) ) ) ) ).
fof(t40_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (v4_ordinal1(A) => v4_ordinal1(k11_ordinal2(A, B))) ) ) ) ) ).
fof(t41_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  ~ ( (r2_tarski(A, k11_ordinal2(B, C)) &  (v4_ordinal1(B) &  (! [D] :  (v3_ordinal1(D) =>  ~ ( (r2_tarski(D, B) & r2_tarski(A, k11_ordinal2(D, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_ordinal3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_ordinal2(B)) ) )  =>  (! [C] :  (v3_ordinal1(C) =>  ( (k9_xtuple_0(A)=k9_xtuple_0(B) &  (v4_ordinal1(k4_ordinal2(A)) &  (! [D] :  (v3_ordinal1(D) =>  (! [E] :  (v3_ordinal1(E) =>  ( (r2_tarski(D, k9_xtuple_0(A)) & E=k1_funct_1(A, D))  => k1_funct_1(B, D)=k11_ordinal2(E, C)) ) ) ) ) ) )  =>  (C=k1_xboole_0 | k4_ordinal2(B)=k11_ordinal2(k4_ordinal2(A), C)) ) ) ) ) ) ) ) ).
fof(t43_ordinal3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  =>  (! [B] :  (v3_ordinal1(B) =>  ( ~ (k1_xboole_0=k9_xtuple_0(A))  => k4_ordinal2(k1_ordinal3(B, A))=k10_ordinal2(B, k4_ordinal2(A))) ) ) ) ) ).
fof(t44_ordinal3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  =>  (! [B] :  (v3_ordinal1(B) =>  (v4_ordinal1(k4_ordinal2(A)) =>  (k1_xboole_0=k9_xtuple_0(A) |  (B=k1_xboole_0 | k4_ordinal2(k4_ordinal3(B, A))=k11_ordinal2(k4_ordinal2(A), B)) ) ) ) ) ) ) ).
fof(t45_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  ( ~ (B=k1_xboole_0)  => k3_tarski(k10_ordinal2(A, B))=k10_ordinal2(A, k3_tarski(B))) ) ) ) ) ).
fof(t46_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) => k11_ordinal2(k10_ordinal2(A, B), C)=k10_ordinal2(k11_ordinal2(A, C), k11_ordinal2(B, C))) ) ) ) ) ) ).
fof(t47_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  ~ ( ( ~ (A=k1_xboole_0)  &  (! [C] :  (v3_ordinal1(C) =>  (! [D] :  (v3_ordinal1(D) =>  ~ ( (B=k10_ordinal2(k11_ordinal2(C, A), D) & r2_tarski(D, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (! [D] :  (v3_ordinal1(D) =>  (! [E] :  (v3_ordinal1(E) =>  ( (k10_ordinal2(k11_ordinal2(B, A), C)=k10_ordinal2(k11_ordinal2(D, A), E) &  (r2_tarski(C, A) & r2_tarski(E, A)) )  =>  (B=D & C=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  ( (r2_tarski(1, B) & v4_ordinal1(A))  =>  (A=k1_xboole_0 |  (! [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_ordinal2(C)) ) )  =>  ( (k9_xtuple_0(C)=A &  (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(D, A) => k1_funct_1(C, D)=k11_ordinal2(D, B)) ) ) )  => k11_ordinal2(A, B)=k4_ordinal2(C)) ) ) ) ) ) ) ) ) ).
fof(t50_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) => k11_ordinal2(k11_ordinal2(A, B), C)=k11_ordinal2(A, k11_ordinal2(B, C))) ) ) ) ) ) ).
fof(d5_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  ( (r1_ordinal1(B, A) =>  (C=k5_ordinal3(A, B) <=> A=k10_ordinal2(B, C)) )  &  ( ~ (r1_ordinal1(B, A))  =>  (C=k5_ordinal3(A, B) <=> C=k1_xboole_0) ) ) ) ) ) ) ) ) ).
fof(d6_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  ( ( ~ (B=k1_xboole_0)  =>  (C=k6_ordinal3(A, B) <=>  (? [D] :  (v3_ordinal1(D) &  (A=k10_ordinal2(k11_ordinal2(C, B), D) & r2_tarski(D, B)) ) ) ) )  &  (B=k1_xboole_0 =>  (C=k6_ordinal3(A, B) <=> C=k1_xboole_0) ) ) ) ) ) ) ) ) ).
fof(d7_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) => k7_ordinal3(A, B)=k5_ordinal3(A, k11_ordinal2(k6_ordinal3(A, B), B))) ) ) ) ).
fof(t51_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(A, B) => B=k10_ordinal2(A, k5_ordinal3(B, A))) ) ) ) ) ).
fof(t52_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) => k5_ordinal3(k10_ordinal2(A, B), A)=B) ) ) ) ).
fof(t53_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(A, B) =>  ( ( ~ (r1_ordinal1(C, A))  &  ~ (r2_tarski(C, A)) )  | r2_tarski(k5_ordinal3(A, C), k5_ordinal3(B, C))) ) ) ) ) ) ) ) ).
fof(t54_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) => k5_ordinal3(A, A)=k1_xboole_0) ) ).
fof(t55_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(A, B) =>  ( ~ (k5_ordinal3(B, A)=k1_xboole_0)  & r2_tarski(k1_xboole_0, k5_ordinal3(B, A))) ) ) ) ) ) ).
fof(t56_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (k5_ordinal3(A, k1_xboole_0)=A & k5_ordinal3(k1_xboole_0, A)=k1_xboole_0) ) ) ).
fof(t57_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) => k5_ordinal3(A, k10_ordinal2(B, C))=k5_ordinal3(k5_ordinal3(A, B), C)) ) ) ) ) ) ).
fof(t58_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (r1_ordinal1(A, B) => r1_ordinal1(k5_ordinal3(C, B), k5_ordinal3(C, A))) ) ) ) ) ) ) ).
fof(t59_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (r1_ordinal1(A, B) => r1_ordinal1(k5_ordinal3(A, C), k5_ordinal3(B, C))) ) ) ) ) ) ) ).
fof(t60_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(A, k10_ordinal2(B, C)) =>  (C=k1_xboole_0 | r2_tarski(k5_ordinal3(A, B), C)) ) ) ) ) ) ) ) ).
fof(t61_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(k10_ordinal2(A, B), C) => r2_tarski(B, k5_ordinal3(C, A))) ) ) ) ) ) ) ).
fof(t62_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) => r1_ordinal1(A, k10_ordinal2(B, k5_ordinal3(A, B)))) ) ) ) ).
fof(t63_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) => k5_ordinal3(k11_ordinal2(A, C), k11_ordinal2(B, C))=k11_ordinal2(k5_ordinal3(A, B), C)) ) ) ) ) ) ).
fof(t64_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) => r1_ordinal1(k11_ordinal2(k6_ordinal3(A, B), B), A)) ) ) ) ).
fof(t65_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) => A=k10_ordinal2(k11_ordinal2(k6_ordinal3(A, B), B), k7_ordinal3(A, B))) ) ) ) ).
fof(t66_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (! [D] :  (v3_ordinal1(D) =>  ( (A=k10_ordinal2(k11_ordinal2(B, C), D) & r2_tarski(D, C))  =>  (B=k6_ordinal3(A, C) & D=k7_ordinal3(A, C)) ) ) ) ) ) ) ) ) ) ).
fof(t67_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(A, k11_ordinal2(B, C)) =>  (r2_tarski(k6_ordinal3(A, C), B) & r2_tarski(k7_ordinal3(A, C), C)) ) ) ) ) ) ) ) ).
fof(t68_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  ( ~ (B=k1_xboole_0)  => k6_ordinal3(k11_ordinal2(A, B), B)=A) ) ) ) ) ).
fof(t69_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) => k7_ordinal3(k11_ordinal2(A, B), B)=k1_xboole_0) ) ) ) ).
fof(t70_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (k6_ordinal3(k1_xboole_0, A)=k1_xboole_0 &  (k7_ordinal3(k1_xboole_0, A)=k1_xboole_0 & k7_ordinal3(A, k1_xboole_0)=A) ) ) ) ).
fof(t71_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (k6_ordinal3(A, 1)=A & k7_ordinal3(A, 1)=k1_xboole_0) ) ) ).
fof(t72_ordinal3, axiom,  (! [A] : r1_tarski(k3_ordinal2(A), k1_ordinal1(k3_tarski(k2_ordinal1(A))))) ).
fof(t73_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) => r2_ordinal2(k1_ordinal1(A), 1)) ) ).
fof(t74_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (v7_ordinal1(k10_ordinal2(A, B)) =>  (r2_tarski(A, k4_ordinal1) & r2_tarski(B, k4_ordinal1)) ) ) ) ) ) ).
fof(t75_ordinal3, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (v7_ordinal1(k11_ordinal2(A, B)) =>  (v1_xboole_0(k11_ordinal2(A, B)) |  (r2_tarski(A, k4_ordinal1) & r2_tarski(B, k4_ordinal1)) ) ) ) ) ) ) ).
fof(dt_k1_ordinal3, axiom,  (! [A, B] :  ( (v3_ordinal1(A) &  (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_ordinal2(B)) ) ) )  =>  (v1_relat_1(k1_ordinal3(A, B)) &  (v5_ordinal1(k1_ordinal3(A, B)) &  (v1_funct_1(k1_ordinal3(A, B)) & v1_ordinal2(k1_ordinal3(A, B))) ) ) ) ) ).
fof(dt_k2_ordinal3, axiom,  (! [A, B] :  ( (v3_ordinal1(A) &  (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_ordinal2(B)) ) ) )  =>  (v1_relat_1(k2_ordinal3(A, B)) &  (v5_ordinal1(k2_ordinal3(A, B)) &  (v1_funct_1(k2_ordinal3(A, B)) & v1_ordinal2(k2_ordinal3(A, B))) ) ) ) ) ).
fof(dt_k3_ordinal3, axiom,  (! [A, B] :  ( (v3_ordinal1(A) &  (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_ordinal2(B)) ) ) )  =>  (v1_relat_1(k3_ordinal3(A, B)) &  (v5_ordinal1(k3_ordinal3(A, B)) &  (v1_funct_1(k3_ordinal3(A, B)) & v1_ordinal2(k3_ordinal3(A, B))) ) ) ) ) ).
fof(dt_k4_ordinal3, axiom,  (! [A, B] :  ( (v3_ordinal1(A) &  (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_ordinal2(B)) ) ) )  =>  (v1_relat_1(k4_ordinal3(A, B)) &  (v5_ordinal1(k4_ordinal3(A, B)) &  (v1_funct_1(k4_ordinal3(A, B)) & v1_ordinal2(k4_ordinal3(A, B))) ) ) ) ) ).
fof(dt_k5_ordinal3, axiom,  (! [A, B] :  ( (v3_ordinal1(A) & v3_ordinal1(B))  => v3_ordinal1(k5_ordinal3(A, B))) ) ).
fof(dt_k6_ordinal3, axiom,  (! [A, B] :  ( (v3_ordinal1(A) & v3_ordinal1(B))  => v3_ordinal1(k6_ordinal3(A, B))) ) ).
fof(dt_k7_ordinal3, axiom,  (! [A, B] :  ( (v3_ordinal1(A) & v3_ordinal1(B))  => v3_ordinal1(k7_ordinal3(A, B))) ) ).
fof(dt_k8_ordinal3, axiom,  (! [A, B] :  ( ( (v3_ordinal1(A) & v7_ordinal1(A))  &  (v3_ordinal1(B) & v7_ordinal1(B)) )  => v3_ordinal1(k8_ordinal3(A, B))) ) ).
fof(commutativity_k8_ordinal3, axiom,  (! [A, B] :  ( ( (v3_ordinal1(A) & v7_ordinal1(A))  &  (v3_ordinal1(B) & v7_ordinal1(B)) )  => k8_ordinal3(A, B)=k8_ordinal3(B, A)) ) ).
fof(redefinition_k8_ordinal3, axiom,  (! [A, B] :  ( ( (v3_ordinal1(A) & v7_ordinal1(A))  &  (v3_ordinal1(B) & v7_ordinal1(B)) )  => k8_ordinal3(A, B)=k10_ordinal2(A, B)) ) ).
fof(dt_k9_ordinal3, axiom,  (! [A, B] :  ( ( (v3_ordinal1(A) & v7_ordinal1(A))  &  (v3_ordinal1(B) & v7_ordinal1(B)) )  => v3_ordinal1(k9_ordinal3(A, B))) ) ).
fof(commutativity_k9_ordinal3, axiom,  (! [A, B] :  ( ( (v3_ordinal1(A) & v7_ordinal1(A))  &  (v3_ordinal1(B) & v7_ordinal1(B)) )  => k9_ordinal3(A, B)=k9_ordinal3(B, A)) ) ).
fof(redefinition_k9_ordinal3, axiom,  (! [A, B] :  ( ( (v3_ordinal1(A) & v7_ordinal1(A))  &  (v3_ordinal1(B) & v7_ordinal1(B)) )  => k9_ordinal3(A, B)=k11_ordinal2(A, B)) ) ).
fof(fc1_ordinal4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  => v3_ordinal1(k1_ordinal2(A))) ) ).
fof(fc2_ordinal4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  &  (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_ordinal2(B)) ) ) )  =>  (v1_relat_1(k1_ordinal4(A, B)) &  (v5_ordinal1(k1_ordinal4(A, B)) &  (v1_funct_1(k1_ordinal4(A, B)) & v1_ordinal2(k1_ordinal4(A, B))) ) ) ) ) ).
fof(rc1_ordinal4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (? [B] :  (m1_subset_1(B, A) & v3_ordinal1(B)) ) ) ) ).
fof(rc2_ordinal4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (? [B] :  (m1_subset_1(B, A) &  (v1_ordinal1(B) &  (v2_ordinal1(B) &  (v3_ordinal1(B) &  ~ (v1_xboole_0(B)) ) ) ) ) ) ) ) ).
fof(fc3_ordinal4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  ~ (v1_xboole_0(k2_ordinal1(A))) ) ) ).
fof(cc1_ordinal4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A), k2_ordinal1(A)))) =>  ( (v1_funct_1(B) & v1_funct_2(B, k2_ordinal1(A), k2_ordinal1(A)))  =>  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_ordinal1(A), k2_ordinal1(A)) & v1_ordinal2(B)) ) ) ) ) ) ) ) ).
fof(fc4_ordinal4, axiom,  (! [A, B, C] :  ( (v3_ordinal1(A) &  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) & v1_funct_1(B)) ) )  &  (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v5_ordinal1(C) & v1_funct_1(C)) ) ) ) )  =>  (v1_relat_1(k1_ordinal4(B, C)) &  (v5_relat_1(k1_ordinal4(B, C), A) &  (v5_ordinal1(k1_ordinal4(B, C)) & v1_funct_1(k1_ordinal4(B, C))) ) ) ) ) ).
fof(t1_ordinal4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  =>  (! [B] :  (v3_ordinal1(B) =>  (k9_xtuple_0(A)=k1_ordinal1(B) =>  (r1_ordinal2(k1_ordinal2(A), A) & k8_ordinal2(A)=k1_ordinal2(A)) ) ) ) ) ) ).
fof(d1_ordinal4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) & v1_funct_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) & v1_funct_1(C)) )  =>  (C=k1_ordinal4(A, B) <=>  (k9_xtuple_0(C)=k10_ordinal2(k9_xtuple_0(A), k9_xtuple_0(B)) &  ( (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(D, k9_xtuple_0(A)) => k1_funct_1(C, D)=k1_funct_1(A, D)) ) )  &  (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(D, k9_xtuple_0(B)) => k1_funct_1(C, k10_ordinal2(k9_xtuple_0(A), D))=k1_funct_1(B, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_ordinal4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_ordinal2(B)) ) )  => r1_tarski(k10_xtuple_0(k1_ordinal4(A, B)), k2_xboole_0(k10_xtuple_0(A), k10_xtuple_0(B)))) ) ) ) ).
fof(t3_ordinal4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_ordinal2(B)) ) )  =>  (! [C] :  (v3_ordinal1(C) =>  (r1_ordinal2(C, B) => r1_ordinal2(C, k1_ordinal4(A, B))) ) ) ) ) ) ) ).
fof(t4_ordinal4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (r1_ordinal2(B, A) => r1_ordinal2(k10_ordinal2(C, B), k1_ordinal3(C, A))) ) ) ) ) ) ) ).
fof(t5_ordinal4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (r1_ordinal2(B, A) => r1_ordinal2(k11_ordinal2(B, C), k4_ordinal3(C, A))) ) ) ) ) ) ) ).
fof(t6_ordinal4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_ordinal2(B)) ) )  =>  (! [C] :  (v3_ordinal1(C) =>  (! [D] :  (v3_ordinal1(D) =>  ( (k9_xtuple_0(A)=k9_xtuple_0(B) &  (r1_ordinal2(C, A) & r1_ordinal2(D, B)) )  =>  ( ( (? [E] :  (v3_ordinal1(E) &  (r2_tarski(E, k9_xtuple_0(A)) &  ~ (r1_ordinal1(k1_funct_1(A, E), k1_funct_1(B, E))) ) ) )  &  (? [E] :  (v3_ordinal1(E) &  (r2_tarski(E, k9_xtuple_0(A)) &  ~ (r2_tarski(k1_funct_1(A, E), k1_funct_1(B, E))) ) ) ) )  | r1_ordinal1(C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t7_ordinal4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_ordinal2(C)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v5_ordinal1(D) &  (v1_funct_1(D) & v1_ordinal2(D)) ) )  =>  ( (k9_xtuple_0(C)=k9_xtuple_0(A) &  (k9_xtuple_0(A)=k9_xtuple_0(D) &  (r1_ordinal2(B, C) &  (r1_ordinal2(B, D) &  (! [E] :  (v3_ordinal1(E) =>  (r2_tarski(E, k9_xtuple_0(A)) =>  (r1_ordinal1(k1_funct_1(C, E), k1_funct_1(A, E)) & r1_ordinal1(k1_funct_1(A, E), k1_funct_1(D, E))) ) ) ) ) ) ) )  => r1_ordinal2(B, A)) ) ) ) ) ) ) ) ) ).
fof(t8_ordinal4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  =>  ( (v4_ordinal1(k9_xtuple_0(A)) & v2_ordinal2(A))  =>  (k9_xtuple_0(A)=k1_xboole_0 |  (r1_ordinal2(k4_ordinal2(A), A) & k8_ordinal2(A)=k4_ordinal2(A)) ) ) ) ) ).
fof(t9_ordinal4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  ( (v2_ordinal2(A) &  (r1_ordinal1(B, C) & r2_tarski(C, k9_xtuple_0(A))) )  => r1_ordinal1(k1_funct_1(A, B), k1_funct_1(A, C))) ) ) ) ) ) ) ).
fof(t10_ordinal4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  =>  (! [B] :  (v3_ordinal1(B) =>  ( (v2_ordinal2(A) & r2_tarski(B, k9_xtuple_0(A)))  => r1_ordinal1(B, k1_funct_1(A, B))) ) ) ) ) ).
fof(t11_ordinal4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  =>  (! [B] :  (v3_ordinal1(B) =>  (v2_ordinal2(A) =>  (v1_ordinal1(k8_relat_1(A, B)) & v2_ordinal1(k8_relat_1(A, B))) ) ) ) ) ) ).
fof(t12_ordinal4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_ordinal2(B)) ) )  =>  (v2_ordinal2(A) =>  (v1_relat_1(k3_relat_1(A, B)) &  (v5_ordinal1(k3_relat_1(A, B)) &  (v1_funct_1(k3_relat_1(A, B)) & v1_ordinal2(k3_relat_1(A, B))) ) ) ) ) ) ) ) ).
fof(t13_ordinal4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_ordinal2(B)) ) )  =>  ~ ( (v2_ordinal2(A) &  (v2_ordinal2(B) &  (! [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_ordinal2(C)) ) )  =>  ~ ( (C=k3_relat_1(B, A) & v2_ordinal2(C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_ordinal4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_ordinal2(C)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v5_ordinal1(D) &  (v1_funct_1(D) & v1_ordinal2(D)) ) )  =>  ( (v2_ordinal2(C) &  (r1_ordinal2(B, D) &  (k3_ordinal2(k10_xtuple_0(C))=k9_xtuple_0(D) & A=k3_relat_1(C, D)) ) )  => r1_ordinal2(B, A)) ) ) ) ) ) ) ) ) ).
fof(t15_ordinal4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  =>  (! [B] :  (v3_ordinal1(B) =>  (v2_ordinal2(A) => v2_ordinal2(k5_relat_1(A, B))) ) ) ) ) ).
fof(t16_ordinal4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  =>  ( (v2_ordinal2(A) & v4_ordinal1(k9_xtuple_0(A)))  => v4_ordinal1(k4_ordinal2(A))) ) ) ).
fof(t17_ordinal4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_ordinal2(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_ordinal2(C)) ) )  =>  ( (v2_ordinal2(B) &  (v3_ordinal2(B) &  (v3_ordinal2(C) & A=k3_relat_1(B, C)) ) )  => v3_ordinal2(A)) ) ) ) ) ) ) ).
fof(t18_ordinal4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  =>  (! [B] :  (v3_ordinal1(B) =>  ( (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(C, k9_xtuple_0(A)) => k1_funct_1(A, C)=k10_ordinal2(B, C)) ) )  => v2_ordinal2(A)) ) ) ) ) ).
fof(t19_ordinal4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  =>  (! [B] :  (v3_ordinal1(B) =>  ( (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(C, k9_xtuple_0(A)) => k1_funct_1(A, C)=k11_ordinal2(C, B)) ) )  =>  (B=k1_xboole_0 | v2_ordinal2(A)) ) ) ) ) ) ).
fof(t20_ordinal4, axiom,  (! [A] :  (v3_ordinal1(A) =>  ( ~ (A=k1_xboole_0)  => k12_ordinal2(k1_xboole_0, A)=k1_xboole_0) ) ) ).
fof(t21_ordinal4, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (v4_ordinal1(A) =>  (A=k1_xboole_0 |  (! [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_ordinal2(C)) ) )  =>  ( (k9_xtuple_0(C)=A &  (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(D, A) => k1_funct_1(C, D)=k12_ordinal2(B, D)) ) ) )  => r1_ordinal2(k12_ordinal2(B, A), C)) ) ) ) ) ) ) ) ) ).
fof(t22_ordinal4, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  ~ ( ( ~ (B=k1_xboole_0)  & k12_ordinal2(B, A)=k1_xboole_0) ) ) ) ) ) ).
fof(t23_ordinal4, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(1, B) => r2_tarski(k12_ordinal2(B, A), k12_ordinal2(B, k1_ordinal1(A)))) ) ) ) ) ).
fof(t24_ordinal4, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  ( (r2_tarski(1, C) & r2_tarski(A, B))  => r2_tarski(k12_ordinal2(C, A), k12_ordinal2(C, B))) ) ) ) ) ) ) ).
fof(t25_ordinal4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  =>  (! [B] :  (v3_ordinal1(B) =>  ( (r2_tarski(1, B) &  (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(C, k9_xtuple_0(A)) => k1_funct_1(A, C)=k12_ordinal2(B, C)) ) ) )  => v2_ordinal2(A)) ) ) ) ) ).
fof(t26_ordinal4, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  ( (r2_tarski(1, B) & v4_ordinal1(A))  =>  (A=k1_xboole_0 |  (! [C] :  ( (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_ordinal2(C)) ) )  =>  ( (k9_xtuple_0(C)=A &  (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(D, A) => k1_funct_1(C, D)=k12_ordinal2(B, D)) ) ) )  => k12_ordinal2(B, A)=k4_ordinal2(C)) ) ) ) ) ) ) ) ) ).
fof(t27_ordinal4, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (r1_ordinal1(A, B) =>  (C=k1_xboole_0 | r1_ordinal1(k12_ordinal2(C, A), k12_ordinal2(C, B))) ) ) ) ) ) ) ) ).
fof(t28_ordinal4, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (r1_ordinal1(A, B) => r1_ordinal1(k12_ordinal2(A, C), k12_ordinal2(B, C))) ) ) ) ) ) ) ).
fof(t29_ordinal4, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(1, B) =>  (A=k1_xboole_0 | r2_tarski(1, k12_ordinal2(B, A))) ) ) ) ) ) ).
fof(t30_ordinal4, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) => k12_ordinal2(C, k10_ordinal2(A, B))=k11_ordinal2(k12_ordinal2(C, B), k12_ordinal2(C, A))) ) ) ) ) ) ).
fof(t31_ordinal4, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) => k12_ordinal2(k12_ordinal2(C, A), B)=k12_ordinal2(C, k11_ordinal2(B, A))) ) ) ) ) ) ).
fof(t32_ordinal4, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(1, B) => r1_ordinal1(A, k12_ordinal2(B, A))) ) ) ) ) ).
fof(d2_ordinal4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  => k2_ordinal4(A)=k1_xboole_0) ) ).
fof(d3_ordinal4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  => k3_ordinal4(A)=1) ) ).
fof(t33_ordinal4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (k2_ordinal4(A)=k1_xboole_0 & k3_ordinal4(A)=1) ) ) ).
fof(t34_ordinal4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  ( (v3_ordinal1(B) & m1_subset_1(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_ordinal1(A), k2_ordinal1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A), k2_ordinal1(A))))) )  => r2_tarski(B, k9_xtuple_0(C))) ) ) ) ) ) ).
fof(t35_ordinal4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_classes2(B))  =>  ( (r2_tarski(k9_xtuple_0(A), B) & r1_tarski(k10_xtuple_0(A), B))  => r2_tarski(k4_ordinal2(A), B)) ) ) ) ) ).
fof(t36_ordinal4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_ordinal1(A), k2_ordinal1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A), k2_ordinal1(A))))) )  =>  ~ ( (v2_ordinal2(B) &  (v3_ordinal2(B) &  (r2_tarski(k4_ordinal1, A) &  (! [C] :  (v3_ordinal1(C) =>  ~ ( (r2_tarski(C, k9_xtuple_0(B)) & k1_funct_1(B, C)=C) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_ordinal4, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  ( (r2_ordinal2(A, B) & r2_ordinal2(B, C))  => r2_ordinal2(A, C)) ) ) ) ) ) ) ).
fof(t38_ordinal4, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (r2_ordinal2(A, B) =>  (v4_ordinal1(A) <=> v4_ordinal1(B)) ) ) ) ) ) ).
fof(s1_ordinal4, axiom,  ( ( (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(A, B) => r2_tarski(f1_s1_ordinal4(A), f1_s1_ordinal4(B))) ) ) ) )  &  (! [A] :  (v3_ordinal1(A) =>  (v4_ordinal1(A) =>  (A=k1_xboole_0 |  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_ordinal2(B)) ) )  =>  ( (k9_xtuple_0(B)=A &  (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(C, A) => k1_funct_1(B, C)=f1_s1_ordinal4(C)) ) ) )  => r1_ordinal2(f1_s1_ordinal4(A), B)) ) ) ) ) ) ) )  =>  (? [A] :  (v3_ordinal1(A) & f1_s1_ordinal4(A)=A) ) ) ).
fof(s2_ordinal4, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_ordinal1(f1_s2_ordinal4), k2_ordinal1(f1_s2_ordinal4)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(f1_s2_ordinal4), k2_ordinal1(f1_s2_ordinal4))))) )  &  (! [B] :  ( (v3_ordinal1(B) & m1_subset_1(B, f1_s2_ordinal4))  => k1_funct_1(A, B)=f2_s2_ordinal4(B)) ) ) ) ).
fof(dt_k1_ordinal4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) )  &  (v1_relat_1(B) &  (v5_ordinal1(B) & v1_funct_1(B)) ) )  =>  (v1_relat_1(k1_ordinal4(A, B)) &  (v5_ordinal1(k1_ordinal4(A, B)) & v1_funct_1(k1_ordinal4(A, B))) ) ) ) ).
fof(dt_f1_s1_ordinal4, axiom,  (! [A] : v3_ordinal1(f1_s1_ordinal4(A))) ).
fof(dt_f1_s2_ordinal4, axiom,  ( ~ (v1_xboole_0(f1_s2_ordinal4))  & v1_classes2(f1_s2_ordinal4)) ).
fof(dt_f2_s2_ordinal4, axiom,  (! [A] :  (v3_ordinal1(f2_s2_ordinal4(A)) & m1_subset_1(f2_s2_ordinal4(A), f1_s2_ordinal4)) ) ).
fof(dt_k2_ordinal4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (v3_ordinal1(k2_ordinal4(A)) & m1_subset_1(k2_ordinal4(A), A)) ) ) ).
fof(dt_k3_ordinal4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (v3_ordinal1(k3_ordinal4(A)) &  ( ~ (v1_xboole_0(k3_ordinal4(A)))  & m1_subset_1(k3_ordinal4(A), A)) ) ) ) ).
fof(dt_k4_ordinal4, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_ordinal1(A), k2_ordinal1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A), k2_ordinal1(A))))) )  &  (v3_ordinal1(C) & m1_subset_1(C, A)) ) )  =>  (v3_ordinal1(k4_ordinal4(A, B, C)) & m1_subset_1(k4_ordinal4(A, B, C), A)) ) ) ).
fof(redefinition_k4_ordinal4, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_ordinal1(A), k2_ordinal1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A), k2_ordinal1(A))))) )  &  (v3_ordinal1(C) & m1_subset_1(C, A)) ) )  => k4_ordinal4(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k5_ordinal4, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_ordinal1(A), k2_ordinal1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A), k2_ordinal1(A))))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_ordinal1(A), k2_ordinal1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A), k2_ordinal1(A))))) ) ) )  =>  (v1_funct_1(k5_ordinal4(A, B, C)) &  (v1_funct_2(k5_ordinal4(A, B, C), k2_ordinal1(A), k2_ordinal1(A)) & m1_subset_1(k5_ordinal4(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A), k2_ordinal1(A))))) ) ) ) ).
fof(redefinition_k5_ordinal4, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_ordinal1(A), k2_ordinal1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A), k2_ordinal1(A))))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_ordinal1(A), k2_ordinal1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A), k2_ordinal1(A))))) ) ) )  => k5_ordinal4(A, B, C)=k3_relat_1(B, C)) ) ).
fof(dt_k6_ordinal4, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  (v3_ordinal1(B) & m1_subset_1(B, A)) )  =>  (v3_ordinal1(k6_ordinal4(A, B)) &  ( ~ (v1_xboole_0(k6_ordinal4(A, B)))  & m1_subset_1(k6_ordinal4(A, B), A)) ) ) ) ).
fof(redefinition_k6_ordinal4, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  (v3_ordinal1(B) & m1_subset_1(B, A)) )  => k6_ordinal4(A, B)=k1_ordinal1(B)) ) ).
fof(dt_k7_ordinal4, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  ( (v3_ordinal1(B) & m1_subset_1(B, A))  &  (v3_ordinal1(C) & m1_subset_1(C, A)) ) )  =>  (v3_ordinal1(k7_ordinal4(A, B, C)) & m1_subset_1(k7_ordinal4(A, B, C), A)) ) ) ).
fof(redefinition_k7_ordinal4, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  ( (v3_ordinal1(B) & m1_subset_1(B, A))  &  (v3_ordinal1(C) & m1_subset_1(C, A)) ) )  => k7_ordinal4(A, B, C)=k10_ordinal2(B, C)) ) ).
fof(dt_k8_ordinal4, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  ( (v3_ordinal1(B) & m1_subset_1(B, A))  &  (v3_ordinal1(C) & m1_subset_1(C, A)) ) )  =>  (v3_ordinal1(k8_ordinal4(A, B, C)) & m1_subset_1(k8_ordinal4(A, B, C), A)) ) ) ).
fof(redefinition_k8_ordinal4, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  ( (v3_ordinal1(B) & m1_subset_1(B, A))  &  (v3_ordinal1(C) & m1_subset_1(C, A)) ) )  => k8_ordinal4(A, B, C)=k11_ordinal2(B, C)) ) ).
fof(fc1_ordinal5, axiom, v4_ordinal1(k4_ordinal1)).
fof(cc1_ordinal5, axiom,  (! [A] :  (v1_xboole_0(A) =>  (v1_xboole_0(A) & v1_ordinal2(A)) ) ) ).
fof(rc1_ordinal5, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v5_ordinal1(A) & v1_finset_1(A)) ) ) ) ) ).
fof(fc2_ordinal5, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_ordinal1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v5_ordinal1(B)) ) ) )  =>  (v1_relat_1(k1_ordinal4(A, B)) &  (v1_funct_1(k1_ordinal4(A, B)) &  ( ~ (v1_xboole_0(k1_ordinal4(A, B)))  & v5_ordinal1(k1_ordinal4(A, B))) ) ) ) ) ).
fof(fc3_ordinal5, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_ordinal1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v5_ordinal1(B)) ) ) )  =>  (v1_relat_1(k1_ordinal4(B, A)) &  (v1_funct_1(k1_ordinal4(B, A)) &  ( ~ (v1_xboole_0(k1_ordinal4(B, A)))  & v5_ordinal1(k1_ordinal4(B, A))) ) ) ) ) ).
fof(cc2_ordinal5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v1_ordinal2(A) & v2_ordinal2(A)) ) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v1_ordinal2(A) & v2_ordinal5(A)) ) ) ) ) ) ).
fof(cc3_ordinal5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v1_ordinal2(A) & v1_ordinal5(A)) ) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v1_ordinal2(A) & v3_ordinal5(A)) ) ) ) ) ) ).
fof(cc4_ordinal5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_ordinal5(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_finset_1(A)) ) ) ) ) ).
fof(cc5_ordinal5, axiom,  (! [A] :  (v1_xboole_0(A) =>  (v1_xboole_0(A) &  (v2_ordinal2(A) & v1_ordinal5(A)) ) ) ) ).
fof(fc4_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) => v1_ordinal2(k3_afinsq_1(A))) ) ).
fof(fc5_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v2_ordinal2(k3_afinsq_1(A)) & v1_ordinal5(k3_afinsq_1(A))) ) ) ).
fof(rc2_ordinal5, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v5_ordinal1(A) &  (v1_finset_1(A) &  (v1_ordinal2(A) &  (v2_ordinal2(A) &  (v1_ordinal5(A) &  (v2_ordinal5(A) & v3_ordinal5(A)) ) ) ) ) ) ) ) ) ) ).
fof(fc6_ordinal5, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  =>  (v3_ordinal1(k12_ordinal2(A, B)) & v7_ordinal1(k12_ordinal2(A, B))) ) ) ).
fof(fc7_ordinal5, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  =>  (v3_ordinal1(k1_ordinal5(A, B)) & v7_ordinal1(k1_ordinal5(A, B))) ) ) ).
fof(rc3_ordinal5, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) & v4_ordinal5(A)) ) ) ) ).
fof(cc6_ordinal5, axiom,  (! [A] :  ( (v3_ordinal1(A) & v4_ordinal5(A))  =>  ( ~ (v1_xboole_0(A))  &  (v3_ordinal1(A) & v4_ordinal1(A)) ) ) ) ).
fof(fc8_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v3_ordinal1(k3_ordinal5(A)) & v4_ordinal5(k3_ordinal5(A))) ) ) ).
fof(cc7_ordinal5, axiom,  (! [A] :  ( (v3_ordinal1(A) & v5_ordinal5(A))  =>  ( ~ (v1_xboole_0(A))  & v3_ordinal1(A)) ) ) ).
fof(rc4_ordinal5, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) & v5_ordinal5(A)) ) ) ) ).
fof(cc8_ordinal5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_xboole_0(A) &  (v5_ordinal1(A) & v1_ordinal2(A)) ) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v1_ordinal2(A) & v6_ordinal5(A)) ) ) ) ) ) ).
fof(cc9_ordinal5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v1_ordinal2(A) & v6_ordinal5(A)) ) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v1_ordinal2(A) & v1_ordinal5(A)) ) ) ) ) ) ).
fof(rc5_ordinal5, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v5_ordinal1(A) &  (v1_ordinal2(A) & v6_ordinal5(A)) ) ) ) ) ) ).
fof(t1_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  ~ ( (r1_ordinal1(A, k1_ordinal1(B)) &  ( ~ (r1_ordinal1(A, B))  &  ~ (A=k1_ordinal1(B)) ) ) ) ) ) ) ) ).
fof(t2_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v5_ordinal1(C)) )  =>  ~ ( (k9_xtuple_0(C)=k10_ordinal2(A, B) &  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v5_ordinal1(D)) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v5_ordinal1(E)) )  =>  ~ ( (C=k1_ordinal4(D, E) &  (k9_xtuple_0(D)=A & k9_xtuple_0(E)=B) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_ordinal5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_ordinal1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v5_ordinal1(B)) )  =>  (r1_tarski(k10_xtuple_0(A), k10_xtuple_0(k1_ordinal4(A, B))) & r1_tarski(k10_xtuple_0(B), k10_xtuple_0(k1_ordinal4(A, B)))) ) ) ) ) ).
fof(t4_ordinal5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_ordinal1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v5_ordinal1(B)) )  =>  (v1_ordinal2(k1_ordinal4(A, B)) =>  (v1_ordinal2(A) & v1_ordinal2(B)) ) ) ) ) ) ).
fof(d1_ordinal5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_ordinal1(A)) )  =>  (v1_ordinal5(A) <=>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  ( (r2_tarski(B, C) & r2_tarski(C, k9_xtuple_0(A)))  => r2_tarski(k1_funct_1(A, C), k1_funct_1(A, B))) ) ) ) ) ) ) ) ).
fof(d2_ordinal5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_ordinal1(A)) )  =>  (v2_ordinal5(A) <=>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  ( (r2_tarski(B, C) & r2_tarski(C, k9_xtuple_0(A)))  => r1_tarski(k1_funct_1(A, B), k1_funct_1(A, C))) ) ) ) ) ) ) ) ).
fof(d3_ordinal5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_ordinal1(A)) )  =>  (v3_ordinal5(A) <=>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  ( (r2_tarski(B, C) & r2_tarski(C, k9_xtuple_0(A)))  => r1_tarski(k1_funct_1(A, C), k1_funct_1(A, B))) ) ) ) ) ) ) ) ).
fof(t5_ordinal5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_ordinal1(A)) )  =>  ( ~ (v1_finset_1(A))  <=> r1_ordinal1(k4_ordinal1, k9_xtuple_0(A))) ) ) ).
fof(t6_ordinal5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v1_ordinal2(A) & v2_ordinal5(A)) ) ) )  =>  ( ~ (v1_xboole_0(k9_xtuple_0(A)))  => r1_ordinal2(k3_card_3(A), A)) ) ) ).
fof(t7_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(A, B) => r2_tarski(k11_ordinal2(C, k12_ordinal2(k4_ordinal1, A)), k12_ordinal2(k4_ordinal1, B))) ) ) ) ) ) ) ).
fof(t8_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_ordinal2(B)) ) )  =>  ( (r2_tarski(k5_numbers, A) &  (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(C, k9_xtuple_0(B)) => k1_funct_1(B, C)=k12_ordinal2(A, C)) ) ) )  => v2_ordinal5(B)) ) ) ) ) ).
fof(t9_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  ( (v4_ordinal1(A) & r2_tarski(k5_numbers, B))  => v4_ordinal1(k12_ordinal2(A, B))) ) ) ) ) ).
fof(t10_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_ordinal2(B)) ) )  =>  ( (r2_tarski(1, A) &  (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(C, k9_xtuple_0(B)) => k1_funct_1(B, C)=k12_ordinal2(A, C)) ) ) )  => v2_ordinal2(B)) ) ) ) ) ).
fof(t11_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  ( (r2_tarski(k5_numbers, A) & v4_ordinal1(B))  =>  (v1_xboole_0(B) |  (r2_hidden(C, k12_ordinal2(A, B)) <=>  (? [D] :  (v3_ordinal1(D) &  (r2_tarski(D, B) & r2_hidden(C, k12_ordinal2(A, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  ( (r2_tarski(k5_numbers, A) & r2_tarski(k12_ordinal2(A, B), k12_ordinal2(A, C)))  => r2_tarski(B, C)) ) ) ) ) ) ) ).
fof(d4_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (C=k1_ordinal5(A, B) <=>  (? [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v5_ordinal1(D) & v1_ordinal2(D)) ) )  &  (C=k1_ordinal2(D) &  (k9_xtuple_0(D)=k1_ordinal1(B) &  (k1_funct_1(D, k1_xboole_0)=1 &  ( (! [E] :  (v3_ordinal1(E) =>  (r2_tarski(k1_ordinal1(E), k1_ordinal1(B)) => k1_funct_1(D, k1_ordinal1(E))=k12_ordinal2(A, k1_funct_1(D, E))) ) )  &  (! [E] :  (v3_ordinal1(E) =>  ( (r2_tarski(E, k1_ordinal1(B)) & v4_ordinal1(E))  =>  (E=k1_xboole_0 | k1_funct_1(D, E)=k8_ordinal2(k5_relat_1(D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) => k1_ordinal5(A, k5_numbers)=1) ) ).
fof(t14_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) => k1_ordinal5(A, k1_ordinal1(B))=k12_ordinal2(A, k1_ordinal5(A, B))) ) ) ) ).
fof(t15_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (v4_ordinal1(B) =>  (B=k5_numbers |  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v5_ordinal1(C) & v1_ordinal2(C)) ) )  =>  ( (k9_xtuple_0(C)=B &  (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(D, B) => k1_funct_1(C, D)=k1_ordinal5(A, D)) ) ) )  => k1_ordinal5(A, B)=k8_ordinal2(C)) ) ) ) ) ) ) ) ) ).
fof(t16_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) => k1_ordinal5(A, 1)=A) ) ).
fof(t17_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) => k1_ordinal5(1, A)=1) ) ).
fof(t18_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) => k1_ordinal5(A, 2)=k12_ordinal2(A, A)) ) ).
fof(t19_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) => k1_ordinal5(A, 3)=k12_ordinal2(A, k12_ordinal2(A, A))) ) ).
fof(t20_ordinal5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (k1_ordinal5(k5_numbers, k3_xcmplx_0(2, A))=1 & k1_ordinal5(k5_numbers, k1_nat_1(k3_xcmplx_0(2, A), 1))=k5_numbers) ) ) ).
fof(t21_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  ( (r1_ordinal1(A, B) & r2_tarski(k5_numbers, C))  => r1_ordinal1(k1_ordinal5(C, A), k1_ordinal5(C, B))) ) ) ) ) ) ) ).
fof(t22_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_ordinal2(B)) ) )  =>  ( (r2_tarski(k5_numbers, A) &  (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(C, k9_xtuple_0(B)) => k1_funct_1(B, C)=k1_ordinal5(A, C)) ) ) )  => v2_ordinal5(B)) ) ) ) ) ).
fof(t23_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  ( (r2_tarski(k5_numbers, A) & r2_tarski(k5_numbers, B))  => r1_ordinal1(A, k1_ordinal5(A, B))) ) ) ) ) ).
fof(t24_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(1, A) =>  (r1_xxreal_0(C, B) | r2_tarski(k1_ordinal5(A, B), k1_ordinal5(A, C))) ) ) ) ) ) ) ) ).
fof(t25_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_ordinal2(B)) ) )  =>  ( (r2_tarski(1, A) &  (r1_ordinal1(k9_xtuple_0(B), k4_ordinal1) &  (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(C, k9_xtuple_0(B)) => k1_funct_1(B, C)=k1_ordinal5(A, C)) ) ) ) )  => v2_ordinal2(B)) ) ) ) ) ).
fof(t26_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  ( (r2_tarski(1, A) & r2_tarski(1, B))  => r2_tarski(A, k1_ordinal5(A, B))) ) ) ) ) ).
fof(t27_ordinal5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k12_ordinal2(A, B)=k1_newton(A, B)) ) ) ) ).
fof(t28_ordinal5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(A, 1))  & r1_xxreal_0(k1_ordinal5(A, B), B)) ) ) ) ) ) ).
fof(t29_ordinal5, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, 1))  => k1_ordinal5(A, k4_ordinal1)=k4_ordinal1) ) ) ).
fof(t30_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (r2_tarski(1, A) => v4_ordinal1(k1_ordinal5(A, k4_ordinal1))) ) ) ).
fof(t31_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (r2_tarski(k5_numbers, A) => k12_ordinal2(A, k1_ordinal5(A, k4_ordinal1))=k1_ordinal5(A, k4_ordinal1)) ) ) ).
fof(t32_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  ( (r2_tarski(k5_numbers, A) & r1_ordinal1(k4_ordinal1, B))  => k1_ordinal5(A, B)=k1_ordinal5(A, k4_ordinal1)) ) ) ) ) ).
fof(d5_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v4_ordinal5(A) <=> k12_ordinal2(k4_ordinal1, A)=A) ) ) ).
fof(t33_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (? [B] :  (v3_ordinal1(B) &  (r2_tarski(A, B) & v4_ordinal5(B)) ) ) ) ) ).
fof(d6_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v3_ordinal1(B) & v4_ordinal5(B))  =>  (B=k2_ordinal5(A) <=>  (r2_tarski(A, B) &  (! [C] :  ( (v3_ordinal1(C) & v4_ordinal5(C))  =>  (r2_tarski(A, C) => r1_ordinal1(B, C)) ) ) ) ) ) ) ) ) ).
fof(t34_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (r1_ordinal1(A, B) => r1_ordinal1(k2_ordinal5(A), k2_ordinal5(B))) ) ) ) ) ).
fof(t35_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  ( (r2_tarski(A, B) & r2_tarski(B, k2_ordinal5(A)))  => k2_ordinal5(B)=k2_ordinal5(A)) ) ) ) ) ).
fof(t36_ordinal5, axiom, k2_ordinal5(k5_numbers)=k1_ordinal5(k4_ordinal1, k4_ordinal1)).
fof(t37_ordinal5, axiom,  (! [A] :  ( (v3_ordinal1(A) & v4_ordinal5(A))  => r2_tarski(k4_ordinal1, A)) ) ).
fof(t38_ordinal5, axiom,  (! [A] :  ( (v3_ordinal1(A) & v4_ordinal5(A))  => k12_ordinal2(k4_ordinal1, k12_ordinal2(A, k4_ordinal1))=k12_ordinal2(A, k12_ordinal2(A, k4_ordinal1))) ) ).
fof(t39_ordinal5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v3_ordinal1(B) & v4_ordinal5(B))  =>  (r2_tarski(k5_numbers, A) => k1_ordinal5(B, k1_nat_1(A, 2))=k12_ordinal2(k4_ordinal1, k1_ordinal5(B, k1_nat_1(A, 1)))) ) ) ) ) ).
fof(t40_ordinal5, axiom,  (! [A] :  ( (v3_ordinal1(A) & v4_ordinal5(A))  => k2_ordinal5(A)=k1_ordinal5(A, k4_ordinal1)) ) ).
fof(d7_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (B=k3_ordinal5(A) <=>  (? [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v5_ordinal1(C) & v1_ordinal2(C)) ) )  &  (B=k1_ordinal2(C) &  (k9_xtuple_0(C)=k1_ordinal1(A) &  (k1_funct_1(C, k1_xboole_0)=k1_ordinal5(k4_ordinal1, k4_ordinal1) &  ( (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(k1_ordinal1(D), k1_ordinal1(A)) => k1_funct_1(C, k1_ordinal1(D))=k1_ordinal5(k1_funct_1(C, D), k4_ordinal1)) ) )  &  (! [D] :  (v3_ordinal1(D) =>  ( (r2_tarski(D, k1_ordinal1(A)) & v4_ordinal1(D))  =>  (D=k1_xboole_0 | k1_funct_1(C, D)=k8_ordinal2(k5_relat_1(C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_ordinal5, axiom, k3_ordinal5(k5_numbers)=k1_ordinal5(k4_ordinal1, k4_ordinal1)).
fof(t42_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) => k3_ordinal5(k1_ordinal1(A))=k1_ordinal5(k3_ordinal5(A), k4_ordinal1)) ) ).
fof(t43_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v4_ordinal1(A) =>  (A=k5_numbers |  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_ordinal2(B)) ) )  =>  ( (k9_xtuple_0(B)=A &  (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(C, A) => k1_funct_1(B, C)=k3_ordinal5(C)) ) ) )  => k3_ordinal5(A)=k8_ordinal2(B)) ) ) ) ) ) ) ).
fof(t44_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(A, B) => r2_tarski(k3_ordinal5(A), k3_ordinal5(B))) ) ) ) ) ).
fof(t45_ordinal5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_ordinal2(A)) ) )  =>  ( (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(B, k9_xtuple_0(A)) => k1_funct_1(A, B)=k3_ordinal5(B)) ) )  => v2_ordinal2(A)) ) ) ).
fof(t46_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v4_ordinal1(A) =>  (A=k1_xboole_0 |  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_ordinal2(B)) ) )  =>  ( (k9_xtuple_0(B)=A &  (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(C, A) => k1_funct_1(B, C)=k3_ordinal5(C)) ) ) )  => k3_ordinal5(A)=k3_card_3(B)) ) ) ) ) ) ) ).
fof(t47_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v4_ordinal1(A) =>  (v1_xboole_0(A) |  (r2_hidden(B, k3_ordinal5(A)) <=>  (? [C] :  (v3_ordinal1(C) &  (r2_tarski(C, A) & r2_hidden(B, k3_ordinal5(C))) ) ) ) ) ) ) ) ) ).
fof(t48_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) => r1_ordinal1(A, k3_ordinal5(A))) ) ).
fof(t49_ordinal5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( (! [B] :  (r2_hidden(B, A) =>  ( (v3_ordinal1(B) & v4_ordinal5(B))  &  (? [C] :  ( (v3_ordinal1(C) & v4_ordinal5(C))  &  (r2_hidden(B, C) & r2_tarski(C, A)) ) ) ) ) )  =>  (v3_ordinal1(k3_tarski(A)) & v4_ordinal5(k3_tarski(A))) ) ) ) ).
fof(t50_ordinal5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ( (! [B] :  (r2_hidden(B, A) =>  (v3_ordinal1(B) & v4_ordinal5(B)) ) )  &  (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(B, A) => r2_tarski(k2_ordinal5(B), A)) ) ) )  =>  (v3_ordinal1(k3_tarski(A)) & v4_ordinal5(k3_tarski(A))) ) ) ) ).
fof(t51_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  ~ ( (v4_ordinal5(A) &  (! [B] :  (v3_ordinal1(B) =>  ~ (A=k3_ordinal5(B)) ) ) ) ) ) ) ).
fof(d8_ordinal5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v1_finset_1(A) & v1_ordinal2(A)) ) ) )  =>  (! [B] :  (v3_ordinal1(B) =>  (B=k4_ordinal5(A) <=>  (? [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v5_ordinal1(C) & v1_ordinal2(C)) ) )  &  (B=k1_ordinal2(C) &  (k9_xtuple_0(C)=k1_ordinal1(k2_afinsq_1(A)) &  (k1_funct_1(C, k5_numbers)=k5_numbers &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k2_afinsq_1(A)) => k1_funct_1(C, k1_nat_1(D, 1))=k10_ordinal2(k1_funct_1(C, D), k1_funct_1(A, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_ordinal5, axiom, k4_ordinal5(k1_xboole_0)=k5_numbers).
fof(t53_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) => k4_ordinal5(k5_afinsq_1(A))=A) ) ).
fof(t54_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) &  (v1_finset_1(B) & v1_ordinal2(B)) ) ) )  => k4_ordinal5(k1_ordinal4(B, k5_afinsq_1(A)))=k10_ordinal2(k4_ordinal5(B), A)) ) ) ) ).
fof(t55_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) &  (v1_finset_1(B) & v1_ordinal2(B)) ) ) )  => k4_ordinal5(k1_ordinal4(k5_afinsq_1(A), B))=k10_ordinal2(A, k4_ordinal5(B))) ) ) ) ).
fof(t56_ordinal5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v1_finset_1(A) & v1_ordinal2(A)) ) ) )  => r1_ordinal1(k1_funct_1(A, k5_numbers), k4_ordinal5(A))) ) ).
fof(d9_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v5_ordinal5(A) <=>  (? [B] :  (v3_ordinal1(B) &  (? [C] :  (v7_ordinal1(C) &  (r2_tarski(k5_numbers, k5_card_1(C)) & A=k11_ordinal2(C, k12_ordinal2(k4_ordinal1, B))) ) ) ) ) ) ) ) ).
fof(d10_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  ( ( (r2_tarski(1, B) & r2_tarski(k5_numbers, A))  =>  (C=k5_ordinal5(A, B) <=>  (r1_ordinal1(k12_ordinal2(B, C), A) &  (! [D] :  (v3_ordinal1(D) =>  (r1_ordinal1(k12_ordinal2(B, D), A) => r1_ordinal1(D, C)) ) ) ) ) )  &  ( ~ ( (r2_tarski(1, B) & r2_tarski(k5_numbers, A)) )  =>  (C=k5_ordinal5(A, B) <=> C=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(t57_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(1, B) => r2_tarski(A, k12_ordinal2(B, k1_ordinal1(k5_ordinal5(A, B))))) ) ) ) ) ).
fof(t58_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r2_tarski(k5_numbers, C) & r2_tarski(C, B))  => k5_ordinal5(k11_ordinal2(C, k12_ordinal2(B, A)), B)=A) ) ) ) ) ) ) ).
fof(t59_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  ( (r2_tarski(k5_numbers, A) &  (r2_tarski(1, B) & C=k5_ordinal5(A, B)) )  => r2_tarski(k6_ordinal3(A, k12_ordinal2(B, C)), B)) ) ) ) ) ) ) ).
fof(t60_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  ( (r2_tarski(k5_numbers, A) &  (r2_tarski(1, B) & C=k5_ordinal5(A, B)) )  => r2_tarski(k5_numbers, k6_ordinal3(A, k12_ordinal2(B, C)))) ) ) ) ) ) ) ).
fof(t61_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  ( ~ (B=k5_numbers)  => r2_tarski(k7_ordinal3(A, k12_ordinal2(B, C)), k12_ordinal2(B, C))) ) ) ) ) ) ) ).
fof(t62_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  ~ ( (r2_tarski(k5_numbers, A) &  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  ~ ( (A=k10_ordinal2(k11_ordinal2(B, k12_ordinal2(k4_ordinal1, k5_ordinal5(A, k4_ordinal1))), C) &  (r2_tarski(k5_numbers, k5_card_1(B)) & r2_tarski(C, k12_ordinal2(k4_ordinal1, k5_ordinal5(A, k4_ordinal1)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  ( (r2_tarski(1, C) & r2_tarski(k5_ordinal5(B, C), k5_ordinal5(A, C)))  => r2_tarski(B, A)) ) ) ) ) ) ) ).
fof(d11_ordinal5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_ordinal2(A)) ) )  =>  (v6_ordinal5(A) <=>  ( (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(B, k9_xtuple_0(A)) => v5_ordinal5(k1_funct_1(A, B))) ) )  &  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  ( (r2_tarski(B, C) & r2_tarski(C, k9_xtuple_0(A)))  => r2_tarski(k5_ordinal5(k1_funct_1(A, C), k4_ordinal1), k5_ordinal5(k1_funct_1(A, B), k4_ordinal1))) ) ) ) ) ) ) ) ) ).
fof(t64_ordinal5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v1_ordinal2(A) & v6_ordinal5(A)) ) ) )  =>  (k4_ordinal5(A)=k5_numbers => A=k1_xboole_0) ) ) ).
fof(t65_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(k5_numbers, k5_card_1(B)) => v6_ordinal5(k5_afinsq_1(k11_ordinal2(B, k12_ordinal2(k4_ordinal1, A))))) ) ) ) ) ).
fof(t66_ordinal5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_ordinal2(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_ordinal2(B)) ) )  =>  (v6_ordinal5(k1_ordinal4(A, B)) =>  (v6_ordinal5(A) & v6_ordinal5(B)) ) ) ) ) ) ).
fof(t67_ordinal5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v1_ordinal2(A) & v6_ordinal5(A)) ) ) )  =>  ~ ( ( ~ (A=k1_xboole_0)  &  (! [B] :  ( (v3_ordinal1(B) & v5_ordinal5(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v5_ordinal1(C) &  (v1_ordinal2(C) & v6_ordinal5(C)) ) ) )  =>  ~ (A=k1_ordinal4(k5_afinsq_1(B), C)) ) ) ) ) ) ) ) ) ).
fof(t68_ordinal5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v5_ordinal1(A) &  (v1_ordinal2(A) & v6_ordinal5(A)) ) ) ) )  =>  (! [B] :  ( (v3_ordinal1(B) & v5_ordinal5(B))  =>  (r2_tarski(k5_ordinal5(k1_funct_1(A, k5_numbers), k4_ordinal1), k5_ordinal5(B, k4_ordinal1)) => v6_ordinal5(k1_ordinal4(k5_afinsq_1(B), A))) ) ) ) ) ).
fof(t69_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (? [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) &  (v1_ordinal2(B) & v6_ordinal5(B)) ) ) )  & A=k4_ordinal5(B)) ) ) ) ).
fof(s1_ordinal5, axiom,  ( ( (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(A, B) => r2_tarski(f3_s1_ordinal5(A), f3_s1_ordinal5(B))) ) ) ) )  &  ( (! [A] :  (v3_ordinal1(A) =>  (v4_ordinal1(A) =>  (v1_xboole_0(A) |  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_ordinal2(B)) ) )  =>  ( (k9_xtuple_0(B)=A &  (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(C, A) => k1_funct_1(B, C)=f3_s1_ordinal5(C)) ) ) )  => r1_ordinal2(f3_s1_ordinal5(A), B)) ) ) ) ) ) )  &  ( (k9_xtuple_0(f2_s1_ordinal5)=k4_ordinal1 & k1_funct_1(f2_s1_ordinal5, k5_numbers)=f1_s1_ordinal5)  &  (! [A] :  (v3_ordinal1(A) =>  (r2_tarski(A, k4_ordinal1) => k1_funct_1(f2_s1_ordinal5, k1_ordinal1(A))=f3_s1_ordinal5(k1_funct_1(f2_s1_ordinal5, A))) ) ) ) ) )  =>  (r1_ordinal1(f1_s1_ordinal5, k3_card_3(f2_s1_ordinal5)) &  (f3_s1_ordinal5(k3_card_3(f2_s1_ordinal5))=k3_card_3(f2_s1_ordinal5) &  (! [A] :  (v3_ordinal1(A) =>  ( (r1_ordinal1(f1_s1_ordinal5, A) & f3_s1_ordinal5(A)=A)  => r1_ordinal1(k3_card_3(f2_s1_ordinal5), A)) ) ) ) ) ) ).
fof(s2_ordinal5, axiom,  ( ( (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(A, B) => r2_tarski(f2_s2_ordinal5(A), f2_s2_ordinal5(B))) ) ) ) )  &  (! [A] :  (v3_ordinal1(A) =>  (v4_ordinal1(A) =>  (v1_xboole_0(A) |  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_ordinal2(B)) ) )  =>  ( (k9_xtuple_0(B)=A &  (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(C, A) => k1_funct_1(B, C)=f2_s2_ordinal5(C)) ) ) )  => r1_ordinal2(f2_s2_ordinal5(A), B)) ) ) ) ) ) ) )  =>  (? [A] :  (v3_ordinal1(A) &  (r2_tarski(f1_s2_ordinal5, A) & f2_s2_ordinal5(A)=A) ) ) ) ).
fof(dt_k1_ordinal5, axiom,  (! [A, B] :  ( (v3_ordinal1(A) & v3_ordinal1(B))  => v3_ordinal1(k1_ordinal5(A, B))) ) ).
fof(dt_f1_s1_ordinal5, axiom, v3_ordinal1(f1_s1_ordinal5)).
fof(dt_f2_s1_ordinal5, axiom,  (v1_relat_1(f2_s1_ordinal5) &  (v1_funct_1(f2_s1_ordinal5) &  (v5_ordinal1(f2_s1_ordinal5) & v1_ordinal2(f2_s1_ordinal5)) ) ) ).
fof(dt_f3_s1_ordinal5, axiom,  (! [A] : v3_ordinal1(f3_s1_ordinal5(A))) ).
fof(dt_f1_s2_ordinal5, axiom, v3_ordinal1(f1_s2_ordinal5)).
fof(dt_f2_s2_ordinal5, axiom,  (! [A] : v3_ordinal1(f2_s2_ordinal5(A))) ).
fof(dt_k2_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v3_ordinal1(k2_ordinal5(A)) & v4_ordinal5(k2_ordinal5(A))) ) ) ).
fof(dt_k3_ordinal5, axiom,  (! [A] :  (v3_ordinal1(A) => v3_ordinal1(k3_ordinal5(A))) ) ).
fof(dt_k4_ordinal5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v1_finset_1(A) & v1_ordinal2(A)) ) ) )  => v3_ordinal1(k4_ordinal5(A))) ) ).
fof(dt_k5_ordinal5, axiom,  (! [A, B] :  ( (v3_ordinal1(A) & v3_ordinal1(B))  => v3_ordinal1(k5_ordinal5(A, B))) ) ).
fof(cc1_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) => v1_ordinal6(A)) ) ).
fof(fc1_ordinal6, axiom,  (! [A] : v1_ordinal6(k2_ordinal1(A))) ).
fof(rc1_ordinal6, axiom,  (? [A] : v1_ordinal6(A)) ).
fof(cc2_ordinal6, axiom,  (! [A] :  (v1_ordinal6(A) =>  (! [B] :  (m1_subset_1(B, A) => v3_ordinal1(B)) ) ) ) ).
fof(fc2_ordinal6, axiom,  (! [A, B] :  ( (v3_ordinal1(A) & v3_ordinal1(B))  => v1_ordinal6(k4_xboole_0(A, B))) ) ).
fof(fc3_ordinal6, axiom,  (! [A] :  (v1_ordinal6(A) => v3_ordinal1(k3_tarski(A))) ) ).
fof(fc4_ordinal6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) )  => v1_ordinal6(k10_xtuple_0(A))) ) ).
fof(fc5_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_relat_1(k4_relat_1(A)) &  (v5_ordinal1(k4_relat_1(A)) & v1_ordinal2(k4_relat_1(A))) ) ) ) ).
fof(fc6_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_relat_1(k4_relat_1(A)) &  (v1_funct_1(k4_relat_1(A)) &  (v5_ordinal1(k4_relat_1(A)) &  (v1_ordinal2(k4_relat_1(A)) & v2_ordinal2(k4_relat_1(A))) ) ) ) ) ) ).
fof(fc7_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_relat_1(k4_relat_1(A)) &  (v1_funct_1(k4_relat_1(A)) &  (v5_ordinal1(k4_relat_1(A)) &  (v1_ordinal2(k4_relat_1(A)) & v3_ordinal2(k4_relat_1(A))) ) ) ) ) ) ).
fof(rc2_ordinal6, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_ordinal2(A) &  (v2_ordinal2(A) & v3_ordinal2(A)) ) ) ) ) ) ) ).
fof(cc3_ordinal6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v2_ordinal6(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_ordinal2(A)) ) ) ) ) ).
fof(cc4_ordinal6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v1_ordinal2(A) & v2_ordinal6(A)) ) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v1_ordinal2(A) &  (v2_ordinal2(A) & v3_ordinal2(A)) ) ) ) ) ) ) ).
fof(cc5_ordinal6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v1_ordinal2(A) &  (v2_ordinal2(A) & v3_ordinal2(A)) ) ) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v1_ordinal2(A) & v2_ordinal6(A)) ) ) ) ) ) ).
fof(rc3_ordinal6, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  ( ~ (v1_xboole_0(A))  & v2_ordinal6(A)) ) ) ) ) ).
fof(fc8_ordinal6, axiom,  (! [A] :  (v1_ordinal6(A) =>  (v1_relat_1(k1_wellord2(A)) & v2_wellord1(k1_wellord2(A))) ) ) ).
fof(fc9_ordinal6, axiom,  (! [A] :  (v1_xboole_0(A) => v1_xboole_0(k2_ordinal1(A))) ) ).
fof(fc10_ordinal6, axiom,  (! [A] :  (v1_xboole_0(A) =>  (v3_ordinal1(k2_wellord2(A)) & v1_xboole_0(k2_wellord2(A))) ) ) ).
fof(fc11_ordinal6, axiom,  (! [A] :  (v1_relat_1(k2_ordinal6(A)) &  (v1_funct_1(k2_ordinal6(A)) &  (v5_ordinal1(k2_ordinal6(A)) &  (v1_ordinal2(k2_ordinal6(A)) & v2_ordinal2(k2_ordinal6(A))) ) ) ) ) ).
fof(fc12_ordinal6, axiom,  (! [A, B] :  ( (v1_ordinal6(A) & v1_ordinal6(B))  => v1_ordinal6(k2_xboole_0(A, B))) ) ).
fof(fc13_ordinal6, axiom,  (! [A, B] :  (v1_ordinal6(A) => v1_ordinal6(k4_xboole_0(A, B))) ) ).
fof(fc14_ordinal6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_ordinal2(A)) ) )  =>  (v1_relat_1(k3_ordinal6(A)) &  (v1_funct_1(k3_ordinal6(A)) &  (v5_ordinal1(k3_ordinal6(A)) &  (v1_ordinal2(k3_ordinal6(A)) & v2_ordinal2(k3_ordinal6(A))) ) ) ) ) ) ).
fof(fc15_ordinal6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v1_ordinal2(A) & v2_ordinal6(A)) ) ) )  =>  (v1_relat_1(k3_ordinal6(A)) &  (v1_funct_1(k3_ordinal6(A)) &  (v5_ordinal1(k3_ordinal6(A)) &  (v1_ordinal2(k3_ordinal6(A)) & v3_ordinal2(k3_ordinal6(A))) ) ) ) ) ) ).
fof(rc4_ordinal6, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A), k2_ordinal1(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k2_ordinal1(A)) &  (v5_relat_1(B, k2_ordinal1(A)) &  (v1_funct_1(B) &  (v5_ordinal1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, k2_ordinal1(A)) &  (v1_funct_2(B, k2_ordinal1(A), k2_ordinal1(A)) &  (v1_ordinal2(B) & v2_ordinal6(B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc6_ordinal6, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  & v3_ordinal1(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k2_ordinal1(A)))) =>  ( (v1_funct_1(C) & v1_funct_2(C, B, k2_ordinal1(A)))  =>  (v1_funct_1(C) &  (v5_ordinal1(C) &  (v1_funct_2(C, B, k2_ordinal1(A)) & v1_ordinal2(C)) ) ) ) ) ) ) ) ).
fof(fc16_ordinal6, axiom,  ~ (v1_zfmisc_1(k4_ordinal1)) ).
fof(rc5_ordinal6, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (? [B] :  (m1_subset_1(B, A) &  (v1_ordinal1(B) &  (v2_ordinal1(B) &  (v3_ordinal1(B) &  ( ~ (v1_zfmisc_1(B))  &  (v1_finset_1(B) & v1_ordinal6(B)) ) ) ) ) ) ) ) ) ).
fof(rc6_ordinal6, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  ( ~ (v1_zfmisc_1(A))  &  (v1_finset_1(A) & v1_ordinal6(A)) ) ) ) ) ) ).
fof(fc17_ordinal6, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  (v3_ordinal1(B) &  ( ~ (v1_zfmisc_1(B))  & m1_subset_1(B, A)) ) )  =>  (v1_funct_1(k6_ordinal6(A, B)) &  (v1_funct_2(k6_ordinal6(A, B), k2_ordinal1(A), k2_ordinal1(A)) & v2_ordinal6(k6_ordinal6(A, B))) ) ) ) ).
fof(fc18_ordinal6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_ordinal2(A)) ) )  => v3_ordinal6(k3_afinsq_1(A))) ) ).
fof(fc19_ordinal6, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v2_card_3(k1_tarski(A))) ) ).
fof(fc20_ordinal6, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v4_ordinal6(k3_afinsq_1(A))) ) ).
fof(rc7_ordinal6, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  ( ~ (v1_xboole_0(A))  &  (v3_ordinal6(A) & v4_ordinal6(A)) ) ) ) ) ) ).
fof(fc21_ordinal6, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_ordinal6(A)) )  =>  (v1_relat_1(k1_funct_1(A, B)) & v1_funct_1(k1_funct_1(A, B))) ) ) ).
fof(fc22_ordinal6, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_ordinal6(A)) )  =>  (v5_ordinal1(k1_funct_1(A, B)) & v1_ordinal2(k1_funct_1(A, B))) ) ) ).
fof(fc23_ordinal6, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_ordinal1(A)) )  & v3_ordinal1(B))  =>  (v1_relat_1(k5_relat_1(A, B)) & v5_ordinal1(k5_relat_1(A, B))) ) ) ).
fof(fc24_ordinal6, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_ordinal6(A)) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v3_ordinal6(k5_relat_1(A, B))) ) ) ).
fof(cc7_ordinal6, axiom,  (! [A, B] :  ( (v3_ordinal1(A) & v3_ordinal1(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( (v1_funct_1(C) & v1_funct_2(C, A, B))  =>  (v1_funct_1(C) &  (v5_ordinal1(C) &  (v1_funct_2(C, A, B) & v1_ordinal2(C)) ) ) ) ) ) ) ) ).
fof(rc8_ordinal6, axiom,  (? [A] :  (v1_ordinal1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_classes1(A) &  (v2_classes1(A) &  ( ~ (v4_card_3(A))  & v1_classes2(A)) ) ) ) ) ) ).
fof(fc25_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) =>  ~ (v4_card_3(k1_classes1(k2_xboole_0(A, k4_ordinal1)))) ) ) ).
fof(d1_ordinal6, axiom,  (! [A] :  (v1_ordinal6(A) <=>  (? [B] :  (v3_ordinal1(B) & r1_tarski(A, B)) ) ) ) ).
fof(t1_ordinal6, axiom,  (! [A] :  (v1_ordinal6(A) <=>  (! [B] :  (r2_tarski(B, A) => v3_ordinal1(B)) ) ) ) ).
fof(t2_ordinal6, axiom,  (! [A] :  (v1_ordinal6(A) <=> k2_ordinal1(A)=A) ) ).
fof(t3_ordinal6, axiom,  (! [A] :  (v1_ordinal6(A) => r1_tarski(A, k3_ordinal2(A))) ) ).
fof(t4_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (r1_ordinal1(A, B) <=>  ~ (r2_hidden(B, A)) ) ) ) ) ) ).
fof(t5_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (r2_tarski(C, k6_subset_1(A, B)) <=>  (r1_tarski(B, C) & r2_tarski(C, A)) ) ) ) ) ) ) ).
fof(t6_ordinal6, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r3_wellord1(k1_wellord2(A), k1_wellord2(B), C) =>  (! [D] :  (! [E] :  ( (r2_tarski(D, A) & r2_tarski(E, A))  =>  (r1_tarski(D, E) <=> r1_tarski(k1_funct_1(C, D), k1_funct_1(C, E))) ) ) ) ) ) ) ) ) ).
fof(t7_ordinal6, axiom,  (! [A] :  (v1_ordinal6(A) =>  (! [B] :  (v1_ordinal6(B) =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r3_wellord1(k1_wellord2(A), k1_wellord2(B), C) =>  (! [D] :  (! [E] :  ( (r2_tarski(D, A) & r2_tarski(E, A))  =>  (r2_tarski(D, E) <=> r2_tarski(k1_funct_1(C, D), k1_funct_1(C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_ordinal6, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(B, C), k1_wellord2(A)) => r1_tarski(B, C)) ) ) ) ).
fof(t9_ordinal6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_ordinal1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v5_ordinal1(B)) )  => r1_tarski(A, k1_ordinal4(A, B))) ) ) ) ).
fof(t10_ordinal6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_ordinal1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v5_ordinal1(B)) )  => k10_xtuple_0(k1_ordinal4(A, B))=k2_xboole_0(k10_xtuple_0(A), k10_xtuple_0(B))) ) ) ) ).
fof(t11_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (r1_ordinal1(A, B) <=> r1_ordinal1(k3_ordinal5(A), k3_ordinal5(B))) ) ) ) ) ).
fof(t12_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(A, B) <=> r2_tarski(k3_ordinal5(A), k3_ordinal5(B))) ) ) ) ) ).
fof(d2_ordinal6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_ordinal1(A)) )  =>  (v2_ordinal6(A) <=>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v1_ordinal2(A) &  (v2_ordinal2(A) & v3_ordinal2(A)) ) ) ) ) ) ) ) ).
fof(d3_ordinal6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_ordinal2(A)) ) )  =>  (v2_ordinal6(A) <=>  (v2_ordinal2(A) & v3_ordinal2(A)) ) ) ) ).
fof(t13_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_ordinal2(B)) ) )  =>  (v2_ordinal5(B) => v2_ordinal5(k5_relat_1(B, A))) ) ) ) ) ).
fof(d4_ordinal6, axiom,  (! [A] : k1_ordinal6(A)=k2_wellord2(k1_wellord2(k2_ordinal1(A)))) ).
fof(d5_ordinal6, axiom,  (! [A] :  (v1_ordinal6(A) => k1_ordinal6(A)=k2_wellord2(k1_wellord2(A))) ) ).
fof(t14_ordinal6, axiom, k1_ordinal6(k1_xboole_0)=k5_numbers).
fof(t15_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) => k1_ordinal6(k1_tarski(A))=1) ) ).
fof(t16_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  ( ~ (A=B)  => k1_ordinal6(k2_tarski(A, B))=2) ) ) ) ) ).
fof(t17_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) => k1_ordinal6(A)=A) ) ).
fof(d6_ordinal6, axiom,  (! [A] : k2_ordinal6(A)=k3_wellord1(k1_wellord2(k1_ordinal6(A)), k1_wellord2(k2_ordinal1(A)))) ).
fof(t18_ordinal6, axiom,  (! [A] :  (k9_xtuple_0(k2_ordinal6(A))=k1_ordinal6(A) & k10_xtuple_0(k2_ordinal6(A))=k2_ordinal1(A)) ) ).
fof(t19_ordinal6, axiom,  (! [A] :  (v1_ordinal6(A) => k10_xtuple_0(k2_ordinal6(A))=A) ) ).
fof(t20_ordinal6, axiom,  (! [A] : k1_card_1(k9_xtuple_0(k2_ordinal6(A)))=k1_card_1(k2_ordinal1(A))) ).
fof(t21_ordinal6, axiom,  (! [A] : r3_wellord1(k1_wellord2(k1_ordinal6(A)), k1_wellord2(k2_ordinal1(A)), k2_ordinal6(A))) ).
fof(t22_ordinal6, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v5_ordinal1(D) & v1_ordinal2(D)) ) )  =>  ( (D=k2_ordinal6(A) &  (r2_tarski(B, k9_xtuple_0(D)) & r2_tarski(C, k9_xtuple_0(D))) )  =>  (r1_tarski(B, C) <=> r1_ordinal1(k1_funct_1(D, B), k1_funct_1(D, C))) ) ) ) ) ) ) ).
fof(t23_ordinal6, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v5_ordinal1(D) & v1_ordinal2(D)) ) )  =>  ( (D=k2_ordinal6(A) &  (r2_tarski(B, k9_xtuple_0(D)) & r2_tarski(C, k9_xtuple_0(D))) )  =>  (r2_tarski(B, C) <=> r2_tarski(k1_funct_1(D, B), k1_funct_1(D, C))) ) ) ) ) ) ) ).
fof(t24_ordinal6, axiom,  (! [A] :  (v1_ordinal6(A) =>  (! [B] :  (v1_ordinal6(B) =>  ( (! [C] :  (! [D] :  ( (r2_tarski(C, A) & r2_tarski(D, B))  => r2_tarski(C, D)) ) )  => r3_wellord1(k1_wellord2(k10_ordinal2(k1_ordinal6(A), k1_ordinal6(B))), k1_wellord2(k2_xboole_0(A, B)), k1_ordinal4(k2_ordinal6(A), k2_ordinal6(B)))) ) ) ) ) ).
fof(t25_ordinal6, axiom,  (! [A] :  (v1_ordinal6(A) =>  (! [B] :  (v1_ordinal6(B) =>  ( (! [C] :  (! [D] :  ( (r2_tarski(C, A) & r2_tarski(D, B))  => r2_tarski(C, D)) ) )  => k2_ordinal6(k2_xboole_0(A, B))=k1_ordinal4(k2_ordinal6(A), k2_ordinal6(B))) ) ) ) ) ).
fof(t26_ordinal6, axiom,  (! [A] :  (v1_ordinal6(A) =>  (! [B] :  (v1_ordinal6(B) =>  ( (! [C] :  (! [D] :  ( (r2_tarski(C, A) & r2_tarski(D, B))  => r2_tarski(C, D)) ) )  => k1_ordinal6(k2_xboole_0(A, B))=k10_ordinal2(k1_ordinal6(A), k1_ordinal6(B))) ) ) ) ) ).
fof(t27_ordinal6, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_abian(A, B) => r2_tarski(A, k10_xtuple_0(B))) ) ) ) ).
fof(t29_ordinal6, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_ordinal2(B)) ) )  =>  (r2_tarski(A, k9_xtuple_0(k3_ordinal6(B))) => r1_abian(k1_funct_1(k3_ordinal6(B), A), B)) ) ) ) ).
fof(t31_ordinal6, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_ordinal2(B)) ) )  =>  (r2_tarski(A, k9_xtuple_0(k3_ordinal6(B))) => r1_tarski(A, k1_funct_1(k3_ordinal6(B), A))) ) ) ) ).
fof(t32_ordinal6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_ordinal2(A)) ) )  => r1_ordinal1(k9_xtuple_0(k3_ordinal6(A)), k9_xtuple_0(A))) ) ).
fof(t33_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_ordinal2(B)) ) )  =>  ~ ( (r1_abian(A, B) &  (! [C] :  (v3_ordinal1(C) =>  ~ ( (r2_tarski(C, k9_xtuple_0(k3_ordinal6(B))) & A=k1_funct_1(k3_ordinal6(B), C)) ) ) ) ) ) ) ) ) ) ).
fof(t34_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v5_ordinal1(C) & v1_ordinal2(C)) ) )  =>  ( (r2_tarski(A, k9_xtuple_0(k3_ordinal6(C))) &  (r1_abian(B, C) & r2_tarski(k1_funct_1(k3_ordinal6(C), A), B)) )  => r2_tarski(k1_ordinal1(A), k9_xtuple_0(k3_ordinal6(C)))) ) ) ) ) ) ) ).
fof(t35_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v5_ordinal1(C) & v1_ordinal2(C)) ) )  =>  ( (r2_tarski(k1_ordinal1(A), k9_xtuple_0(k3_ordinal6(C))) &  (r1_abian(B, C) & r2_tarski(k1_funct_1(k3_ordinal6(C), A), B)) )  => r1_ordinal1(k1_funct_1(k3_ordinal6(C), k1_ordinal1(A)), B)) ) ) ) ) ) ) ).
fof(t36_ordinal6, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_ordinal2(B)) ) )  =>  ( (v2_ordinal6(B) &  (r2_tarski(k3_tarski(A), k9_xtuple_0(B)) &  (! [C] :  ~ ( (r2_tarski(C, A) &  (! [D] :  ~ ( (r1_tarski(C, D) &  (r2_tarski(D, A) & r1_abian(D, B)) ) ) ) ) ) ) ) )  =>  (v1_xboole_0(A) | k3_tarski(A)=k1_funct_1(B, k3_tarski(A))) ) ) ) ) ).
fof(t37_ordinal6, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_ordinal2(B)) ) )  =>  ( (v2_ordinal6(B) &  (r2_tarski(k3_tarski(A), k9_xtuple_0(B)) &  (! [C] :  (r2_tarski(C, A) => r1_abian(C, B)) ) ) )  =>  (v1_xboole_0(A) | k3_tarski(A)=k1_funct_1(B, k3_tarski(A))) ) ) ) ) ).
fof(t38_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v3_ordinal1(B) &  (v4_ordinal1(B) &  ~ (v1_xboole_0(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v5_ordinal1(C) & v1_ordinal2(C)) ) )  =>  ( (r1_ordinal1(B, k9_xtuple_0(k3_ordinal6(C))) &  (r1_abian(A, C) &  (! [D] :  (r2_tarski(D, B) => r2_tarski(k1_funct_1(k3_ordinal6(C), D), A)) ) ) )  => r2_tarski(B, k9_xtuple_0(k3_ordinal6(C)))) ) ) ) ) ) ) ).
fof(t39_ordinal6, axiom,  (! [A] :  ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_xboole_0(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_ordinal2(B)) ) )  =>  ( (v2_ordinal6(B) & r2_tarski(A, k9_xtuple_0(k3_ordinal6(B))))  => k1_funct_1(k3_ordinal6(B), A)=k3_card_3(k5_relat_1(k3_ordinal6(B), A))) ) ) ) ) ).
fof(t40_ordinal6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_ordinal2(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_ordinal2(B)) ) )  =>  (r1_tarski(A, B) => r1_tarski(k3_ordinal6(A), k3_ordinal6(B))) ) ) ) ) ).
fof(t41_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_classes2(B))  =>  (r2_tarski(A, B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k2_ordinal1(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_ordinal1(B))))) )  => r2_tarski(k3_card_3(C), B)) ) ) ) ) ) ) ).
fof(t42_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_classes2(B))  =>  (r2_tarski(A, B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k2_ordinal1(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k2_ordinal1(B))))) )  => r2_tarski(k4_ordinal2(C), B)) ) ) ) ) ) ) ).
fof(t43_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_classes2(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_ordinal1(B), k2_ordinal1(B)) &  (v2_ordinal6(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(B), k2_ordinal1(B))))) ) )  =>  ~ ( (r2_tarski(k4_ordinal1, B) &  (r2_tarski(A, B) &  (! [D] :  (v3_ordinal1(D) =>  ~ ( (r2_tarski(A, D) & r1_abian(D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_ordinal6, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_ordinal1(A), k2_ordinal1(A)) &  (v2_ordinal6(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A), k2_ordinal1(A))))) ) )  =>  (r2_tarski(k4_ordinal1, A) =>  (v1_funct_1(k3_ordinal6(B)) &  (v1_funct_2(k3_ordinal6(B), k2_ordinal1(A), k2_ordinal1(A)) & m1_subset_1(k3_ordinal6(B), k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A), k2_ordinal1(A))))) ) ) ) ) ) ) ).
fof(t45_ordinal6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_ordinal2(A)) ) )  =>  (v2_ordinal6(A) =>  (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(B, k9_xtuple_0(k3_ordinal6(A))) => r1_ordinal1(k1_funct_1(A, B), k1_funct_1(k3_ordinal6(A), B))) ) ) ) ) ) ).
fof(d8_ordinal6, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_ordinal1(A), k2_ordinal1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A), k2_ordinal1(A))))) )  =>  (C=k6_ordinal6(A, B) <=>  (! [D] :  ( (v3_ordinal1(D) & m1_subset_1(D, A))  => k4_ordinal6(A, k2_ordinal1(A), C, D)=k12_ordinal2(B, D)) ) ) ) ) ) ) ) ) ) ).
fof(d9_ordinal6, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v3_ordinal6(A) <=>  (! [B] :  (r2_tarski(B, k10_xtuple_0(A)) =>  (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_ordinal2(B)) ) ) ) ) ) ) ) ).
fof(d10_ordinal6, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v4_ordinal6(A) <=> v2_card_3(k10_xtuple_0(A))) ) ) ).
fof(t47_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v5_ordinal1(C) & v3_ordinal6(C)) ) )  =>  ( (r2_tarski(A, k9_xtuple_0(C)) & r2_tarski(B, k9_xtuple_0(k7_ordinal6(C))))  => r1_abian(k1_funct_1(k7_ordinal6(C), B), k1_funct_1(C, A))) ) ) ) ) ) ) ).
fof(t48_ordinal6, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v3_ordinal6(B)) ) )  =>  (r2_tarski(A, k9_xtuple_0(k7_ordinal6(B))) => r1_tarski(A, k1_funct_1(k7_ordinal6(B), A))) ) ) ) ).
fof(t49_ordinal6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_ordinal2(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v3_ordinal6(B)) ) )  =>  (r2_tarski(A, k10_xtuple_0(B)) => r1_ordinal1(k9_xtuple_0(k7_ordinal6(B)), k9_xtuple_0(A))) ) ) ) ) ).
fof(t50_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v3_ordinal6(B)) ) )  =>  ~ ( ( ~ (k9_xtuple_0(B)=k1_xboole_0)  &  ( (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(C, k9_xtuple_0(B)) => r1_abian(A, k1_funct_1(B, C))) ) )  &  (! [C] :  (v3_ordinal1(C) =>  ~ ( (r2_tarski(C, k9_xtuple_0(k7_ordinal6(B))) & A=k1_funct_1(k7_ordinal6(B), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v3_ordinal1(B) &  (v4_ordinal1(B) &  ~ (v1_xboole_0(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v5_ordinal1(C) & v3_ordinal6(C)) ) )  =>  ( (r1_ordinal1(B, k9_xtuple_0(k7_ordinal6(C))) &  ( (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v5_ordinal1(D) & v1_ordinal2(D)) ) )  =>  (r2_tarski(D, k10_xtuple_0(C)) => r1_abian(A, D)) ) )  &  (! [D] :  (r2_tarski(D, B) => r2_tarski(k1_funct_1(k7_ordinal6(C), D), A)) ) ) )  =>  (k9_xtuple_0(C)=k1_xboole_0 | r2_tarski(B, k9_xtuple_0(k7_ordinal6(C)))) ) ) ) ) ) ) ) ).
fof(t52_ordinal6, axiom,  (! [A] :  ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_xboole_0(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v3_ordinal6(B)) ) )  =>  ( ( (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(C, k9_xtuple_0(B)) => v2_ordinal6(k1_funct_1(B, C))) ) )  & r2_tarski(A, k9_xtuple_0(k7_ordinal6(B))))  =>  (k9_xtuple_0(B)=k1_xboole_0 | k1_funct_1(k7_ordinal6(B), A)=k3_card_3(k5_relat_1(k7_ordinal6(B), A))) ) ) ) ) ) ).
fof(t53_ordinal6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v3_ordinal6(A)) ) )  =>  ( (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(B, k9_xtuple_0(A)) => v2_ordinal6(k1_funct_1(A, B))) ) )  =>  (k9_xtuple_0(A)=k1_xboole_0 | v3_ordinal2(k7_ordinal6(A))) ) ) ) ).
fof(t54_ordinal6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v3_ordinal6(A)) ) )  =>  ( (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(B, k9_xtuple_0(A)) => v2_ordinal6(k1_funct_1(A, B))) ) )  =>  (k9_xtuple_0(A)=k1_xboole_0 |  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v5_ordinal1(C) & v1_ordinal2(C)) ) )  =>  ( (r2_tarski(B, k9_xtuple_0(k7_ordinal6(A))) & r2_tarski(C, k10_xtuple_0(A)))  => r1_ordinal1(k1_funct_1(C, B), k1_funct_1(k7_ordinal6(A), B))) ) ) ) ) ) ) ) ) ).
fof(t55_ordinal6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v3_ordinal6(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v3_ordinal6(B)) ) )  =>  ( (k9_xtuple_0(A)=k9_xtuple_0(B) &  (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(C, k9_xtuple_0(A)) => r1_tarski(k1_funct_1(A, C), k1_funct_1(B, C))) ) ) )  =>  (k9_xtuple_0(A)=k1_xboole_0 | r1_tarski(k7_ordinal6(A), k7_ordinal6(B))) ) ) ) ) ) ).
fof(t56_ordinal6, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v3_ordinal6(B)) ) )  =>  ( (r2_tarski(k9_xtuple_0(B), A) &  (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(C, k9_xtuple_0(B)) =>  (v1_funct_1(k1_funct_1(B, C)) &  (v1_funct_2(k1_funct_1(B, C), k2_ordinal1(A), k2_ordinal1(A)) & m1_subset_1(k1_funct_1(B, C), k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A), k2_ordinal1(A))))) ) ) ) ) )  =>  (k9_xtuple_0(B)=k1_xboole_0 |  (v1_funct_1(k8_ordinal6(B)) &  (v1_funct_2(k8_ordinal6(B), k2_ordinal1(A), k2_ordinal1(A)) & m1_subset_1(k8_ordinal6(B), k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A), k2_ordinal1(A))))) ) ) ) ) ) ) ) ).
fof(d15_ordinal6, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v3_ordinal6(B)) ) )  =>  (B=k11_ordinal6(A) <=>  (k9_xtuple_0(B)=k2_ordinal1(A) &  (k1_funct_1(B, k5_numbers)=k6_ordinal6(A, k4_ordinal1) &  ( (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(k1_ordinal1(C), k2_ordinal1(A)) => k1_funct_1(B, k1_ordinal1(C))=k3_ordinal6(k1_funct_1(B, C))) ) )  &  (! [C] :  ( (v3_ordinal1(C) &  (v4_ordinal1(C) &  ~ (v1_xboole_0(C)) ) )  =>  (r2_tarski(C, k2_ordinal1(A)) => k1_funct_1(B, C)=k7_ordinal6(k5_relat_1(B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_ordinal6, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  ( ~ (v4_card_3(A))  <=> r2_tarski(k4_ordinal1, A)) ) ) ).
fof(t58_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & v1_classes2(D))  =>  ( (r2_tarski(A, B) &  (r2_tarski(B, D) &  (r2_tarski(k4_ordinal1, D) & r2_tarski(C, k9_xtuple_0(k1_funct_1(k11_ordinal6(D), B)))) ) )  => r1_abian(k1_funct_1(k1_funct_1(k11_ordinal6(D), B), C), k1_funct_1(k11_ordinal6(D), A))) ) ) ) ) ) ) ) ) ).
fof(t59_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v3_ordinal1(B) &  (v4_ordinal1(B) &  ~ (v1_xboole_0(B)) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v1_classes2(C))  =>  ( (r2_tarski(B, C) &  (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(D, B) => r1_abian(A, k1_funct_1(k11_ordinal6(C), D))) ) ) )  => r1_abian(A, k8_ordinal6(k5_relat_1(k11_ordinal6(C), B)))) ) ) ) ) ) ) ).
fof(t60_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & v1_classes2(D))  =>  ( (r1_ordinal1(A, B) &  (r2_tarski(B, D) &  (r2_tarski(k4_ordinal1, D) &  (r2_tarski(C, k9_xtuple_0(k1_funct_1(k11_ordinal6(D), B))) &  (! [E] :  (v3_ordinal1(E) =>  (r2_tarski(E, B) => v2_ordinal6(k1_funct_1(k11_ordinal6(D), E))) ) ) ) ) ) )  => r1_ordinal1(k1_funct_1(k1_funct_1(k11_ordinal6(D), A), C), k1_funct_1(k1_funct_1(k11_ordinal6(D), B), C))) ) ) ) ) ) ) ) ) ).
fof(t61_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  ( (v3_ordinal1(C) &  (v4_ordinal1(C) &  ~ (v1_xboole_0(C)) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & v1_classes2(D))  =>  ( (r2_tarski(C, D) &  (r2_tarski(A, D) &  (r2_tarski(B, C) &  (! [E] :  (v3_ordinal1(E) =>  (r2_tarski(E, C) =>  (v1_funct_1(k1_funct_1(k11_ordinal6(D), E)) &  (v1_funct_2(k1_funct_1(k11_ordinal6(D), E), k2_ordinal1(D), k2_ordinal1(D)) &  (v2_ordinal6(k1_funct_1(k11_ordinal6(D), E)) & m1_subset_1(k1_funct_1(k11_ordinal6(D), E), k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(D), k2_ordinal1(D))))) ) ) ) ) ) ) ) )  => r1_abian(k1_funct_1(k8_ordinal6(k5_relat_1(k11_ordinal6(D), C)), A), k1_funct_1(k11_ordinal6(D), B))) ) ) ) ) ) ) ) ) ).
fof(t62_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_classes2(B))  =>  ( (r2_tarski(k4_ordinal1, B) & r2_tarski(A, B))  =>  (v1_funct_1(k1_funct_1(k11_ordinal6(B), A)) &  (v1_funct_2(k1_funct_1(k11_ordinal6(B), A), k2_ordinal1(B), k2_ordinal1(B)) &  (v2_ordinal6(k1_funct_1(k11_ordinal6(B), A)) & m1_subset_1(k1_funct_1(k11_ordinal6(B), A), k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(B), k2_ordinal1(B))))) ) ) ) ) ) ) ) ).
fof(t63_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_classes2(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v1_classes2(C))  =>  ( (r2_tarski(k4_ordinal1, B) &  (r1_tarski(B, C) & r2_tarski(A, B)) )  => r1_tarski(k1_funct_1(k11_ordinal6(B), A), k1_funct_1(k11_ordinal6(C), A))) ) ) ) ) ) ) ).
fof(t64_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v1_classes2(C))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & v1_classes2(D))  =>  ( (r2_tarski(k4_ordinal1, C) &  (r2_tarski(A, C) &  (r2_tarski(B, C) &  (r2_tarski(k4_ordinal1, D) &  (r2_tarski(A, D) & r2_tarski(B, D)) ) ) ) )  => k1_funct_1(k1_funct_1(k11_ordinal6(C), B), A)=k1_funct_1(k1_funct_1(k11_ordinal6(D), B), A)) ) ) ) ) ) ) ) ) ).
fof(t65_ordinal6, axiom,  (! [A] :  ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_xboole_0(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_classes2(B))  =>  ( (r2_tarski(A, B) &  (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(C, A) =>  (v1_funct_1(k1_funct_1(k11_ordinal6(B), C)) &  (v1_funct_2(k1_funct_1(k11_ordinal6(B), C), k2_ordinal1(B), k2_ordinal1(B)) &  (v2_ordinal6(k1_funct_1(k11_ordinal6(B), C)) & m1_subset_1(k1_funct_1(k11_ordinal6(B), C), k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(B), k2_ordinal1(B))))) ) ) ) ) ) )  =>  (v1_funct_1(k8_ordinal6(k5_relat_1(k11_ordinal6(B), A))) &  (v1_funct_2(k8_ordinal6(k5_relat_1(k11_ordinal6(B), A)), k2_ordinal1(B), k2_ordinal1(B)) &  (v3_ordinal2(k8_ordinal6(k5_relat_1(k11_ordinal6(B), A))) &  (v2_ordinal5(k8_ordinal6(k5_relat_1(k11_ordinal6(B), A))) & m1_subset_1(k8_ordinal6(k5_relat_1(k11_ordinal6(B), A)), k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(B), k2_ordinal1(B))))) ) ) ) ) ) ) ) ) ).
fof(d16_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) => k12_ordinal6(A, B)=k1_funct_1(k1_funct_1(k11_ordinal6(k1_classes1(k2_xboole_0(k2_xboole_0(A, B), k4_ordinal1))), A), B)) ) ) ) ).
fof(d17_ordinal6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) => k13_ordinal6(A, B)=k1_funct_1(k1_funct_1(k11_ordinal6(k1_classes1(k2_xboole_0(B, k4_ordinal1))), A), B)) ) ) ) ).
fof(t66_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) => r2_tarski(A, k1_classes1(k2_xboole_0(k2_xboole_0(A, B), C)))) ) ) ) ) ) ).
fof(t67_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v1_classes2(C))  =>  ( (r2_tarski(k4_ordinal1, C) &  (r2_tarski(A, C) & r2_tarski(B, C)) )  => k12_ordinal6(B, A)=k1_funct_1(k1_funct_1(k11_ordinal6(C), B), A)) ) ) ) ) ) ) ).
fof(t68_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) => k13_ordinal6(k5_numbers, A)=k12_ordinal2(k4_ordinal1, A)) ) ).
fof(t69_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) => k12_ordinal6(B, k12_ordinal6(k1_ordinal1(B), A))=k12_ordinal6(k1_ordinal1(B), A)) ) ) ) ).
fof(t70_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(B, C) => k12_ordinal6(B, k12_ordinal6(C, A))=k12_ordinal6(C, A)) ) ) ) ) ) ) ).
fof(t71_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (r1_ordinal1(A, B) <=> r1_ordinal1(k12_ordinal6(C, A), k12_ordinal6(C, B))) ) ) ) ) ) ) ).
fof(t72_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(A, B) <=> r2_tarski(k12_ordinal6(C, A), k12_ordinal6(C, B))) ) ) ) ) ) ) ).
fof(t73_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  (! [D] :  (v3_ordinal1(D) =>  (r2_tarski(k12_ordinal6(A, B), k12_ordinal6(C, D)) <=>  ~ ( ( ~ ( (A=C & r2_tarski(B, D)) )  &  ( ~ ( (r2_tarski(A, C) & r2_tarski(B, k12_ordinal6(C, D))) )  &  ~ ( (r2_tarski(C, A) & r2_tarski(k12_ordinal6(A, B), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t74_ordinal6, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v4_card_3(A))  & v1_classes2(A)) )  => k1_funct_1(k11_ordinal6(A), 1)=k3_ordinal6(k6_ordinal6(A, k4_ordinal1))) ) ).
fof(t75_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) => v4_ordinal5(k13_ordinal6(1, A))) ) ).
fof(t76_ordinal6, axiom,  (! [A] :  ( (v3_ordinal1(A) & v4_ordinal5(A))  =>  (? [B] :  (v3_ordinal1(B) & A=k13_ordinal6(1, B)) ) ) ) ).
fof(t77_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) => k13_ordinal6(1, A)=k3_ordinal5(A)) ) ).
fof(s1_ordinal6, axiom,  ( (r2_tarski(k4_ordinal1, f1_s1_ordinal6) &  ( (! [A] :  (v3_ordinal1(A) =>  (r2_tarski(A, f1_s1_ordinal6) => r2_tarski(f4_s1_ordinal6(A), f1_s1_ordinal6)) ) )  &  ( (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  ( (r2_tarski(A, B) & r2_tarski(B, f1_s1_ordinal6))  => r2_tarski(f4_s1_ordinal6(A), f4_s1_ordinal6(B))) ) ) ) )  &  ( (! [A] :  ( (v3_ordinal1(A) & m1_subset_1(A, f1_s1_ordinal6))  =>  (v4_ordinal1(A) =>  (v1_xboole_0(A) |  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_ordinal2(B)) ) )  =>  ( (k9_xtuple_0(B)=A &  (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(C, A) => k1_funct_1(B, C)=f4_s1_ordinal6(C)) ) ) )  => r1_ordinal2(f4_s1_ordinal6(A), B)) ) ) ) ) ) )  &  (k4_ordinal6(f1_s1_ordinal6, k4_ordinal1, f3_s1_ordinal6, k5_numbers)=f2_s1_ordinal6 &  (! [A] :  (v3_ordinal1(A) =>  (r2_tarski(A, k4_ordinal1) => k4_ordinal6(f1_s1_ordinal6, k4_ordinal1, f3_s1_ordinal6, k1_ordinal1(A))=f4_s1_ordinal6(k4_ordinal6(f1_s1_ordinal6, k4_ordinal1, f3_s1_ordinal6, A))) ) ) ) ) ) ) )  =>  (r1_ordinal1(f2_s1_ordinal6, k3_card_3(f3_s1_ordinal6)) &  (f4_s1_ordinal6(k3_card_3(f3_s1_ordinal6))=k3_card_3(f3_s1_ordinal6) &  (! [A] :  (v3_ordinal1(A) =>  ( (r1_ordinal1(f2_s1_ordinal6, A) &  (r2_tarski(A, f1_s1_ordinal6) & f4_s1_ordinal6(A)=A) )  => r1_ordinal1(k3_card_3(f3_s1_ordinal6), A)) ) ) ) ) ) ).
fof(s2_ordinal6, axiom,  ( (r2_tarski(k4_ordinal1, f1_s2_ordinal6) &  ( (! [A] :  (v3_ordinal1(A) =>  (r2_tarski(A, f1_s2_ordinal6) => r2_tarski(f3_s2_ordinal6(A), f1_s2_ordinal6)) ) )  &  ( (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  ( (r2_tarski(A, B) & r2_tarski(B, f1_s2_ordinal6))  => r2_tarski(f3_s2_ordinal6(A), f3_s2_ordinal6(B))) ) ) ) )  &  (! [A] :  ( (v3_ordinal1(A) & m1_subset_1(A, f1_s2_ordinal6))  =>  (v4_ordinal1(A) =>  (v1_xboole_0(A) |  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_ordinal2(B)) ) )  =>  ( (k9_xtuple_0(B)=A &  (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(C, A) => k1_funct_1(B, C)=f3_s2_ordinal6(C)) ) ) )  => r1_ordinal2(f3_s2_ordinal6(A), B)) ) ) ) ) ) ) ) ) )  =>  (? [A] :  ( (v3_ordinal1(A) & m1_subset_1(A, f1_s2_ordinal6))  &  (r2_tarski(f2_s2_ordinal6, A) & f3_s2_ordinal6(A)=A) ) ) ) ).
fof(dt_k1_ordinal6, axiom,  (! [A] : v3_ordinal1(k1_ordinal6(A))) ).
fof(dt_k2_ordinal6, axiom,  (! [A] :  (v1_relat_1(k2_ordinal6(A)) &  (v1_funct_1(k2_ordinal6(A)) &  (v5_ordinal1(k2_ordinal6(A)) & v1_ordinal2(k2_ordinal6(A))) ) ) ) ).
fof(dt_k3_ordinal6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_ordinal2(A)) ) )  =>  (v1_relat_1(k3_ordinal6(A)) &  (v1_funct_1(k3_ordinal6(A)) &  (v5_ordinal1(k3_ordinal6(A)) & v1_ordinal2(k3_ordinal6(A))) ) ) ) ) ).
fof(dt_k4_ordinal6, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  (v3_ordinal1(B) &  (v1_funct_1(C) &  (v1_funct_2(C, B, k2_ordinal1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k2_ordinal1(A))))) ) ) )  =>  (v3_ordinal1(k4_ordinal6(A, B, C, D)) & m1_subset_1(k4_ordinal6(A, B, C, D), A)) ) ) ).
fof(redefinition_k4_ordinal6, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  (v3_ordinal1(B) &  (v1_funct_1(C) &  (v1_funct_2(C, B, k2_ordinal1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k2_ordinal1(A))))) ) ) )  => k4_ordinal6(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(dt_f1_s1_ordinal6, axiom,  ( ~ (v1_xboole_0(f1_s1_ordinal6))  & v1_classes2(f1_s1_ordinal6)) ).
fof(dt_f2_s1_ordinal6, axiom,  (v3_ordinal1(f2_s1_ordinal6) & m1_subset_1(f2_s1_ordinal6, f1_s1_ordinal6)) ).
fof(dt_f3_s1_ordinal6, axiom,  (v1_funct_1(f3_s1_ordinal6) &  (v1_funct_2(f3_s1_ordinal6, k4_ordinal1, k2_ordinal1(f1_s1_ordinal6)) & m1_subset_1(f3_s1_ordinal6, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_ordinal1(f1_s1_ordinal6))))) ) ).
fof(dt_f4_s1_ordinal6, axiom,  (! [A] : v3_ordinal1(f4_s1_ordinal6(A))) ).
fof(dt_f1_s2_ordinal6, axiom,  ( ~ (v1_xboole_0(f1_s2_ordinal6))  & v1_classes2(f1_s2_ordinal6)) ).
fof(dt_f2_s2_ordinal6, axiom,  (v3_ordinal1(f2_s2_ordinal6) & m1_subset_1(f2_s2_ordinal6, f1_s2_ordinal6)) ).
fof(dt_f3_s2_ordinal6, axiom,  (! [A] : v3_ordinal1(f3_s2_ordinal6(A))) ).
fof(dt_k5_ordinal6, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  ( (v3_ordinal1(B) & m1_subset_1(B, A))  &  (v3_ordinal1(C) & m1_subset_1(C, A)) ) )  =>  (v3_ordinal1(k5_ordinal6(A, B, C)) & m1_subset_1(k5_ordinal6(A, B, C), A)) ) ) ).
fof(redefinition_k5_ordinal6, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  ( (v3_ordinal1(B) & m1_subset_1(B, A))  &  (v3_ordinal1(C) & m1_subset_1(C, A)) ) )  => k5_ordinal6(A, B, C)=k12_ordinal2(B, C)) ) ).
fof(dt_k6_ordinal6, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  & v3_ordinal1(B))  =>  (v1_funct_1(k6_ordinal6(A, B)) &  (v1_funct_2(k6_ordinal6(A, B), k2_ordinal1(A), k2_ordinal1(A)) & m1_subset_1(k6_ordinal6(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A), k2_ordinal1(A))))) ) ) ) ).
fof(dt_k7_ordinal6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v3_ordinal6(A)) ) )  =>  (v1_relat_1(k7_ordinal6(A)) &  (v1_funct_1(k7_ordinal6(A)) &  (v5_ordinal1(k7_ordinal6(A)) & v1_ordinal2(k7_ordinal6(A))) ) ) ) ) ).
fof(dt_k8_ordinal6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v3_ordinal6(A)) ) )  =>  (v1_relat_1(k8_ordinal6(A)) &  (v1_funct_1(k8_ordinal6(A)) &  (v5_ordinal1(k8_ordinal6(A)) & v1_ordinal2(k8_ordinal6(A))) ) ) ) ) ).
fof(dt_k9_ordinal6, axiom,  (! [A] :  (v1_relat_1(k9_ordinal6(A)) &  (v1_funct_1(k9_ordinal6(A)) &  (v5_ordinal1(k9_ordinal6(A)) & v1_ordinal2(k9_ordinal6(A))) ) ) ) ).
fof(dt_k10_ordinal6, axiom,  (! [A] :  (v1_relat_1(k10_ordinal6(A)) &  (v1_funct_1(k10_ordinal6(A)) &  (v5_ordinal1(k10_ordinal6(A)) & v3_ordinal6(k10_ordinal6(A))) ) ) ) ).
fof(dt_k11_ordinal6, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (v1_relat_1(k11_ordinal6(A)) &  (v1_funct_1(k11_ordinal6(A)) &  (v5_ordinal1(k11_ordinal6(A)) & v3_ordinal6(k11_ordinal6(A))) ) ) ) ) ).
fof(dt_k12_ordinal6, axiom,  (! [A, B] :  ( (v3_ordinal1(A) & v3_ordinal1(B))  => v3_ordinal1(k12_ordinal6(A, B))) ) ).
fof(dt_k13_ordinal6, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v3_ordinal1(B))  => v3_ordinal1(k13_ordinal6(A, B))) ) ).
fof(redefinition_k13_ordinal6, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v3_ordinal1(B))  => k13_ordinal6(A, B)=k12_ordinal6(A, B)) ) ).
fof(d7_ordinal6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_ordinal2(A)) ) )  => k3_ordinal6(A)=k2_ordinal6(a_1_0_ordinal6(A))) ) ).
fof(t28_ordinal6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_ordinal2(A)) ) )  => k2_ordinal1(a_1_0_ordinal6(A))=a_1_0_ordinal6(A)) ) ).
fof(t30_ordinal6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_ordinal2(A)) ) )  =>  (k10_xtuple_0(k3_ordinal6(A))=a_1_0_ordinal6(A) & r1_tarski(k10_xtuple_0(k3_ordinal6(A)), k10_xtuple_0(A))) ) ) ).
fof(d11_ordinal6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v3_ordinal6(A)) ) )  => k7_ordinal6(A)=k2_ordinal6(a_1_1_ordinal6(A))) ) ).
fof(t46_ordinal6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v3_ordinal6(A)) ) )  => v1_ordinal6(a_1_1_ordinal6(A))) ) ).
fof(d12_ordinal6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v3_ordinal6(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_ordinal2(B)) ) )  =>  (B=k8_ordinal6(A) <=>  (k9_xtuple_0(B)=k9_xtuple_0(k1_funct_1(A, k5_numbers)) &  (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(C, k9_xtuple_0(B)) => k1_funct_1(B, C)=k3_tarski(a_2_0_ordinal6(A, C))) ) ) ) ) ) ) ) ) ).
fof(d13_ordinal6, axiom,  (! [A] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_ordinal2(A)) ) )  => k9_ordinal6(A)=A)  &  ( ~ ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v1_ordinal2(A)) ) ) )  => k9_ordinal6(A)=o_0_0_ordinal6) ) ) ).
fof(d14_ordinal6, axiom,  (! [A] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v3_ordinal6(A)) ) )  => k10_ordinal6(A)=A)  &  ( ~ ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_ordinal1(A) & v3_ordinal6(A)) ) ) )  => k10_ordinal6(A)=o_0_1_ordinal6) ) ) ).
fof(fraenkel_a_1_0_ordinal6, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v1_ordinal2(B)) ) )  =>  (r2_hidden(A, a_1_0_ordinal6(B)) <=>  (? [C] :  (m1_subset_1(C, k9_xtuple_0(B)) &  (A=C & r1_abian(C, B)) ) ) ) ) ) ).
fof(fraenkel_a_1_1_ordinal6, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v3_ordinal6(B)) ) )  =>  (r2_hidden(A, a_1_1_ordinal6(B)) <=>  (? [C] :  (m1_subset_1(C, k9_xtuple_0(k1_funct_1(B, k5_numbers))) &  (A=C &  (r2_tarski(C, k9_xtuple_0(k1_funct_1(B, k5_numbers))) &  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v5_ordinal1(D) & v1_ordinal2(D)) ) )  =>  (r2_tarski(D, k10_xtuple_0(B)) => r1_abian(C, D)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_ordinal6, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) & v3_ordinal6(B)) ) )  & v3_ordinal1(C))  =>  (r2_hidden(A, a_2_0_ordinal6(B, C)) <=>  (? [D] :  (m1_subset_1(D, k9_xtuple_0(B)) &  (A=k1_funct_1(k1_funct_1(B, D), C) & r2_tarski(D, k9_xtuple_0(B))) ) ) ) ) ) ).
fof(dt_o_0_0_ordinal6, axiom,  (v1_relat_1(o_0_0_ordinal6) &  (v1_funct_1(o_0_0_ordinal6) &  (v5_ordinal1(o_0_0_ordinal6) & v1_ordinal2(o_0_0_ordinal6)) ) ) ).
fof(dt_o_0_1_ordinal6, axiom,  (v1_relat_1(o_0_1_ordinal6) &  (v1_funct_1(o_0_1_ordinal6) &  (v5_ordinal1(o_0_1_ordinal6) & v3_ordinal6(o_0_1_ordinal6)) ) ) ).
fof(rc1_ortsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (l1_symsp_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_symsp_1(B, A) & v1_ortsp_1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_ortsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_symsp_1(B, A)) ) ) ) )  =>  (v1_ortsp_1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ( ~ ( ( ~ (C=k4_struct_0(B))  &  ( ~ (D=k4_struct_0(B))  &  ( ~ (E=k4_struct_0(B))  &  ( ~ (F=k4_struct_0(B))  &  (! [I] :  (m1_subset_1(I, u1_struct_0(B)) =>  ~ ( ( ~ (r1_orders_2(B, I, C))  &  ( ~ (r1_orders_2(B, I, D))  &  ( ~ (r1_orders_2(B, I, E))  &  ~ (r1_orders_2(B, I, F)) ) ) ) ) ) ) ) ) ) ) )  &  ( (r1_orders_2(B, C, D) => r1_orders_2(B, k3_vectsp_1(A, B, H, C), D))  &  ( ( (r1_orders_2(B, D, C) & r1_orders_2(B, E, C))  => r1_orders_2(B, k3_rlvect_1(B, D, E), C))  &  ( ~ ( ( ~ (r1_orders_2(B, D, C))  &  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  ~ (r1_orders_2(B, k5_algstr_0(B, G, k3_vectsp_1(A, B, I, D)), C)) ) ) ) )  &  ( (r1_orders_2(B, C, k5_algstr_0(B, D, E)) & r1_orders_2(B, D, k5_algstr_0(B, E, C)))  => r1_orders_2(B, E, k5_algstr_0(B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_ortsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_ortsp_1(B, A) & l1_symsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => r1_orders_2(B, k4_struct_0(B), C)) ) ) ) ) ) ).
fof(t2_ortsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_ortsp_1(B, A) & l1_symsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r1_orders_2(B, C, D) => r1_orders_2(B, D, C)) ) ) ) ) ) ) ) ) ).
fof(t3_ortsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_ortsp_1(B, A) & l1_symsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  ~ ( ( ~ (r1_orders_2(B, C, D))  &  (r1_orders_2(B, k3_rlvect_1(B, E, C), D) & r1_orders_2(B, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_ortsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_ortsp_1(B, A) & l1_symsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  ~ ( ( ~ (r1_orders_2(B, D, C))  &  (r1_orders_2(B, E, C) & r1_orders_2(B, k3_rlvect_1(B, D, E), C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_ortsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_ortsp_1(B, A) & l1_symsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (r1_orders_2(B, D, C))  &  ( ~ (E=k4_struct_0(A))  &  ~ ( ( ~ (r1_orders_2(B, k3_vectsp_1(A, B, E, D), C))  &  ~ (r1_orders_2(B, D, k3_vectsp_1(A, B, E, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_ortsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_ortsp_1(B, A) & l1_symsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r1_orders_2(B, C, D) => r1_orders_2(B, k4_algstr_0(B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t7_ortsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_ortsp_1(B, A) & l1_symsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( (r1_orders_2(B, k5_algstr_0(B, C, D), F) & r1_orders_2(B, k5_algstr_0(B, C, E), F))  => r1_orders_2(B, k5_algstr_0(B, D, E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_ortsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_ortsp_1(B, A) & l1_symsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r1_orders_2(B, k5_algstr_0(B, E, k3_vectsp_1(A, B, F, D)), C) & r1_orders_2(B, k5_algstr_0(B, E, k3_vectsp_1(A, B, G, D)), C))  =>  (r1_orders_2(B, D, C) | F=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_ortsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_ortsp_1(B, A) & l1_symsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  ( (r1_orders_2(B, C, C) & r1_orders_2(B, D, D))  => r1_orders_2(B, k3_rlvect_1(B, C, D), k5_algstr_0(B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t10_ortsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_ortsp_1(B, A) & l1_symsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  ~ ( ( ~ (k3_rlvect_1(A, k1_group_1(A), k1_group_1(A))=k4_struct_0(A))  &  ( ~ ( (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => C=k4_struct_0(B)) ) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => r1_orders_2(B, C, C)) ) ) ) ) ) ) ) ) ).
fof(d2_ortsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_ortsp_1(B, A) & l1_symsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  ( ~ (r1_orders_2(B, D, C))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (F=k1_ortsp_1(A, B, C, D, E) <=>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r1_orders_2(B, k5_algstr_0(B, E, k3_vectsp_1(A, B, G, D)), C) => F=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_ortsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_ortsp_1(B, A) & l1_symsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  ( ~ (r1_orders_2(B, D, C))  => r1_orders_2(B, k5_algstr_0(B, E, k3_vectsp_1(A, B, k1_ortsp_1(A, B, C, D, E), D)), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_ortsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_ortsp_1(B, A) & l1_symsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( ~ (r1_orders_2(B, D, C))  => k1_ortsp_1(A, B, C, D, k3_vectsp_1(A, B, F, E))=k8_group_1(A, F, k1_ortsp_1(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_ortsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_ortsp_1(B, A) & l1_symsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( ~ (r1_orders_2(B, D, C))  => k1_ortsp_1(A, B, C, D, k3_rlvect_1(B, E, F))=k3_rlvect_1(A, k1_ortsp_1(A, B, C, D, E), k1_ortsp_1(A, B, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_ortsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_ortsp_1(B, A) & l1_symsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( ( ~ (r1_orders_2(B, D, C))  &  ( ~ (F=k4_struct_0(A))  &  ~ (k1_ortsp_1(A, B, C, k3_vectsp_1(A, B, F, D), E)=k8_group_1(A, k9_algstr_0(A, F), k1_ortsp_1(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_ortsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_ortsp_1(B, A) & l1_symsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( ( ~ (r1_orders_2(B, D, C))  &  ( ~ (F=k4_struct_0(A))  &  ~ (k1_ortsp_1(A, B, k3_vectsp_1(A, B, F, C), D, E)=k1_ortsp_1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_ortsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_ortsp_1(B, A) & l1_symsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (r1_orders_2(B, F, C) =>  (r1_orders_2(B, D, C) |  (k1_ortsp_1(A, B, C, k3_rlvect_1(B, D, F), E)=k1_ortsp_1(A, B, C, D, E) & k1_ortsp_1(A, B, C, D, k3_rlvect_1(B, E, F))=k1_ortsp_1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_ortsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_ortsp_1(B, A) & l1_symsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( (r1_orders_2(B, F, D) & r1_orders_2(B, F, E))  =>  (r1_orders_2(B, D, C) | k1_ortsp_1(A, B, k3_rlvect_1(B, C, F), D, E)=k1_ortsp_1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_ortsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_ortsp_1(B, A) & l1_symsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (r1_orders_2(B, k5_algstr_0(B, E, D), C) =>  (r1_orders_2(B, D, C) | k1_ortsp_1(A, B, C, D, E)=k1_group_1(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_ortsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_ortsp_1(B, A) & l1_symsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  ( ~ (r1_orders_2(B, D, C))  => k1_ortsp_1(A, B, C, D, D)=k1_group_1(A)) ) ) ) ) ) ) ) ) ).
fof(t20_ortsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_ortsp_1(B, A) & l1_symsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  ( ~ (r1_orders_2(B, D, C))  =>  (r1_orders_2(B, E, C) <=> k1_ortsp_1(A, B, C, D, E)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_ortsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_ortsp_1(B, A) & l1_symsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ~ ( ( ~ (r1_orders_2(B, D, C))  &  ( ~ (r1_orders_2(B, F, C))  &  ~ (k8_group_1(A, k1_ortsp_1(A, B, C, D, E), k9_algstr_0(A, k1_ortsp_1(A, B, C, D, F)))=k1_ortsp_1(A, B, C, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_ortsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_ortsp_1(B, A) & l1_symsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  ~ ( ( ~ (r1_orders_2(B, D, C))  &  ( ~ (r1_orders_2(B, E, C))  &  ~ (k1_ortsp_1(A, B, C, D, E)=k9_algstr_0(A, k1_ortsp_1(A, B, C, E, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_ortsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_ortsp_1(B, A) & l1_symsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (r1_orders_2(B, D, k3_rlvect_1(B, E, C)) =>  (r1_orders_2(B, D, C) | k1_ortsp_1(A, B, C, D, E)=k4_algstr_0(A, k1_ortsp_1(A, B, E, D, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_ortsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_ortsp_1(B, A) & l1_symsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  ~ ( ( ~ (r1_orders_2(B, C, D))  &  ( ~ (r1_orders_2(B, E, D))  &  ~ (k1_ortsp_1(A, B, E, D, C)=k8_group_1(A, k9_algstr_0(A, k1_ortsp_1(A, B, D, C, E)), k1_ortsp_1(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_ortsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_ortsp_1(B, A) & l1_symsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ~ ( ( ~ (r1_orders_2(B, D, C))  &  ( ~ (r1_orders_2(B, D, F))  &  ( ~ (r1_orders_2(B, E, C))  &  ( ~ (r1_orders_2(B, E, F))  &  ~ (k8_group_1(A, k1_ortsp_1(A, B, C, E, D), k1_ortsp_1(A, B, D, C, F))=k8_group_1(A, k1_ortsp_1(A, B, E, C, F), k1_ortsp_1(A, B, F, E, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_ortsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_ortsp_1(B, A) & l1_symsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  ~ ( ( ~ (r1_orders_2(B, E, C))  &  ( ~ (r1_orders_2(B, E, G))  &  ( ~ (r1_orders_2(B, F, C))  &  ( ~ (r1_orders_2(B, F, G))  &  ( ~ (r1_orders_2(B, D, C))  &  ~ (k8_group_1(A, k8_group_1(A, k1_ortsp_1(A, B, C, D, E), k1_ortsp_1(A, B, E, C, G)), k1_ortsp_1(A, B, G, E, H))=k8_group_1(A, k8_group_1(A, k1_ortsp_1(A, B, C, D, F), k1_ortsp_1(A, B, F, C, G)), k1_ortsp_1(A, B, G, F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_ortsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_ortsp_1(B, A) & l1_symsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ~ ( ( ~ (r1_orders_2(B, C, D))  &  ( ~ (r1_orders_2(B, E, D))  &  ( ~ (r1_orders_2(B, F, D))  &  ~ (k8_group_1(A, k1_ortsp_1(A, B, D, C, E), k1_ortsp_1(A, B, E, D, F))=k8_group_1(A, k1_ortsp_1(A, B, D, C, F), k1_ortsp_1(A, B, F, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_ortsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_ortsp_1(B, A) & l1_symsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( ~ (r1_orders_2(B, F, E))  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( ( (? [H] :  (m1_subset_1(H, u1_struct_0(B)) &  ( ~ (r1_orders_2(B, H, E))  &  ~ (r1_orders_2(B, H, C)) ) ) )  =>  (G=k2_ortsp_1(A, B, C, D, E, F) <=>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  ~ ( ( ~ (r1_orders_2(B, H, E))  &  ( ~ (r1_orders_2(B, H, C))  &  ~ (G=k8_group_1(A, k8_group_1(A, k1_ortsp_1(A, B, E, F, H), k1_ortsp_1(A, B, H, E, C)), k1_ortsp_1(A, B, C, H, D))) ) ) ) ) ) ) )  &  ( (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  ~ ( ( ~ (r1_orders_2(B, H, E))  &  ~ (r1_orders_2(B, H, C)) ) ) ) )  =>  (G=k2_ortsp_1(A, B, C, D, E, F) <=> G=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_ortsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_ortsp_1(B, A) & l1_symsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (E=k4_struct_0(B) =>  (r1_orders_2(B, D, C) | k2_ortsp_1(A, B, E, F, C, D)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_ortsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_ortsp_1(B, A) & l1_symsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( ~ (r1_orders_2(B, D, C))  =>  (k2_ortsp_1(A, B, E, F, C, D)=k4_struct_0(A) <=> r1_orders_2(B, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_ortsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_ortsp_1(B, A) & l1_symsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( ~ (r1_orders_2(B, D, C))  => k2_ortsp_1(A, B, E, F, C, D)=k2_ortsp_1(A, B, F, E, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_ortsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_ortsp_1(B, A) & l1_symsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( ~ (r1_orders_2(B, D, C))  => k2_ortsp_1(A, B, E, k3_vectsp_1(A, B, G, F), C, D)=k8_group_1(A, G, k2_ortsp_1(A, B, E, F, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_ortsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_ortsp_1(B, A) & l1_symsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  ( ~ (r1_orders_2(B, D, C))  => k2_ortsp_1(A, B, E, k3_rlvect_1(B, F, G), C, D)=k3_rlvect_1(A, k2_ortsp_1(A, B, E, F, C, D), k2_ortsp_1(A, B, E, G, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_ortsp_1, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_ortsp_1(B, A) & l1_symsp_1(B, A)) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) &  (m1_subset_1(D, u1_struct_0(B)) & m1_subset_1(E, u1_struct_0(B))) ) ) )  => m1_subset_1(k1_ortsp_1(A, B, C, D, E), u1_struct_0(A))) ) ).
fof(dt_k2_ortsp_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_ortsp_1(B, A) & l1_symsp_1(B, A)) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) &  (m1_subset_1(D, u1_struct_0(B)) &  (m1_subset_1(E, u1_struct_0(B)) & m1_subset_1(F, u1_struct_0(B))) ) ) ) )  => m1_subset_1(k2_ortsp_1(A, B, C, D, E, F), u1_struct_0(A))) ) ).
fof(fc1_osafree, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  ( ~ (v2_struct_0(k2_osafree(A, B)))  & v1_lang1(k2_osafree(A, B))) ) ) ).
fof(fc2_osafree, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (v1_dtconstr(k2_osafree(A, B)) &  (v2_dtconstr(k2_osafree(A, B)) & v3_dtconstr(k2_osafree(A, B))) ) ) ) ).
fof(fc3_osafree, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, u1_struct_0(A))) )  =>  ~ (v1_xboole_0(k4_osafree(A, B, C))) ) ) ).
fof(fc4_osafree, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (v1_relat_1(k5_osafree(A, B)) &  (v2_relat_1(k5_osafree(A, B)) &  (v4_relat_1(k5_osafree(A, B), u1_struct_0(A)) &  (v1_funct_1(k5_osafree(A, B)) &  (v1_partfun1(k5_osafree(A, B), u1_struct_0(A)) & v11_osalg_1(k5_osafree(A, B), A)) ) ) ) ) ) ) ).
fof(fc5_osafree, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (v3_msualg_1(k8_osafree(A, B), A) &  (v4_msualg_1(k8_osafree(A, B), A) & v12_osalg_1(k8_osafree(A, B), A)) ) ) ) ).
fof(fc6_osafree, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, u4_struct_0(A))) )  =>  ~ (v1_xboole_0(k3_msualg_1(A, C, k8_osafree(A, B)))) ) ) ).
fof(rc1_osafree, axiom,  (? [A] :  (l3_osalg_1(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v14_struct_0(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v8_osalg_1(A) &  (v10_osalg_1(A) & v2_osalg_4(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc7_osafree, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (v2_msualg_4(k20_osafree(A, B), A, k8_osafree(A, B)) & v3_osalg_4(k20_osafree(A, B), A, k8_osafree(A, B))) ) ) ).
fof(fc8_osafree, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, u1_struct_0(A))) )  =>  ~ (v1_xboole_0(k21_osafree(A, B, C))) ) ) ).
fof(fc9_osafree, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, u1_struct_0(A))) )  =>  ~ (v1_xboole_0(k23_osafree(A, B, C))) ) ) ).
fof(fc10_osafree, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  => v2_relat_1(k24_osafree(A, B))) ) ).
fof(rc2_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (? [B] :  (l3_msualg_1(B, A) &  (v3_msualg_1(B, A) &  (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) &  (v13_osalg_1(B, A) & v2_osafree(B, A)) ) ) ) ) ) ) ) ).
fof(d1_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B)) =>  (m1_osafree(C, A, B) <=>  (! [D] :  (m2_osalg_2(D, A, B) =>  (r8_pboole(u1_struct_0(A), D, k2_osalg_2(A, C)) => r8_pboole(u1_struct_0(A), u3_msualg_1(A, k10_osalg_2(A, B, D)), u3_msualg_1(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(t1_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v3_msualg_1(B, A) &  (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) ) )  =>  (! [C] :  (m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B)) =>  (m1_osafree(C, A, B) <=>  (! [D] :  (m2_osalg_2(D, A, B) =>  (r8_pboole(u1_struct_0(A), D, k2_osalg_2(A, C)) => k10_osalg_2(A, B, D)=B) ) ) ) ) ) ) ) ) ) ).
fof(d2_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) &  (v13_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_osafree(C, A, B) =>  (v1_osafree(C, A, B) <=>  (! [D] :  ( (v4_msualg_1(D, A) &  (v12_osalg_1(D, A) &  (v13_osalg_1(D, A) & l3_msualg_1(D, A)) ) )  =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), C, u3_msualg_1(A, D)) =>  (? [F] :  (m2_pboole(F, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, D)) &  (r1_msualg_3(A, B, D, F) &  (v1_osalg_3(F, A) & r8_pboole(u1_struct_0(A), k1_msafree(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, D), C, F), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) &  (v13_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (v2_osafree(B, A) <=>  (? [C] :  (m1_osafree(C, A, B) & v1_osafree(C, A, B)) ) ) ) ) ) ) ).
fof(d4_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A))), k3_card_3(k3_msafree(u1_struct_0(A), B))), k3_finseq_2(k2_xboole_0(k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A))), k3_card_3(k3_msafree(u1_struct_0(A), B))))))) =>  (C=k1_osafree(A, B) <=>  (! [D] :  (m1_subset_1(D, k2_xboole_0(k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A))), k3_card_3(k3_msafree(u1_struct_0(A), B)))) =>  (! [E] :  (m2_finseq_2(E, k2_xboole_0(k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A))), k3_card_3(k3_msafree(u1_struct_0(A), B))), k3_finseq_2(k2_xboole_0(k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A))), k3_card_3(k3_msafree(u1_struct_0(A), B))))) =>  (r2_hidden(k4_tarski(D, E), C) <=>  (r2_tarski(D, k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A)))) &  (! [F] :  (m1_subset_1(F, u4_struct_0(A)) =>  (k4_tarski(F, u1_struct_0(A))=D =>  (k3_finseq_1(E)=k3_finseq_1(k1_msualg_1(A, F)) &  (! [G] :  (r2_tarski(G, k4_finseq_1(E)) =>  ( (r2_tarski(k1_funct_1(E, G), k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A)))) =>  (! [H] :  (m1_subset_1(H, u4_struct_0(A)) =>  (k4_tarski(H, u1_struct_0(A))=k1_funct_1(E, G) => r3_orders_2(A, k2_msualg_1(A, H), k7_partfun1(u1_struct_0(A), k1_msualg_1(A, F), G))) ) ) )  &  ~ ( (r2_tarski(k1_funct_1(E, G), k3_card_3(k3_msafree(u1_struct_0(A), B))) &  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ~ ( (r3_orders_2(A, H, k7_partfun1(u1_struct_0(A), k1_msualg_1(A, F), G)) & r2_tarski(k1_funct_1(E, G), k2_msafree(u1_struct_0(A), B, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m2_finseq_2(D, k2_xboole_0(k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A))), k3_card_3(k3_msafree(u1_struct_0(A), B))), k3_finseq_2(k2_xboole_0(k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A))), k3_card_3(k3_msafree(u1_struct_0(A), B))))) =>  (r2_hidden(k4_tarski(k4_tarski(C, u1_struct_0(A)), D), k1_osafree(A, B)) <=>  (k3_finseq_1(D)=k3_finseq_1(k1_msualg_1(A, C)) &  (! [E] :  (r2_tarski(E, k4_finseq_1(D)) =>  ( (r2_tarski(k1_funct_1(D, E), k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A)))) =>  (! [F] :  (m1_subset_1(F, u4_struct_0(A)) =>  (k4_tarski(F, u1_struct_0(A))=k1_funct_1(D, E) => r3_orders_2(A, k2_msualg_1(A, F), k7_partfun1(u1_struct_0(A), k1_msualg_1(A, C), E))) ) ) )  &  ~ ( (r2_tarski(k1_funct_1(D, E), k3_card_3(k3_msafree(u1_struct_0(A), B))) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r3_orders_2(A, F, k7_partfun1(u1_struct_0(A), k1_msualg_1(A, C), E)) & r2_tarski(k1_funct_1(D, E), k2_msafree(u1_struct_0(A), B, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  => k2_osafree(A, B)=g1_lang1(k2_xboole_0(k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A))), k3_card_3(k3_msafree(u1_struct_0(A), B))), k1_osafree(A, B))) ) ) ) ).
fof(t3_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (k2_lang1(k2_osafree(A, B))=k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A))) & k1_lang1(k2_osafree(A, B))=k3_card_3(k3_msafree(u1_struct_0(A), B))) ) ) ) ) ).
fof(t4_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (r2_tarski(C, k6_dtconstr(k2_osafree(A, B))) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (r2_tarski(E, k1_funct_1(B, D)) & C=k4_tarski(E, D)) ) ) ) ) ) ) ) ) ) ).
fof(d6_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) => k3_osafree(A, B, C)=k4_tarski(C, u1_struct_0(A))) ) ) ) ) ) ).
fof(d8_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) & v11_osalg_1(C, A)) ) ) )  =>  (C=k5_osafree(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_funct_1(C, D)=k4_osafree(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t5_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (r2_tarski(D, k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k5_osafree(A, B))), C)) => m1_trees_4(D, k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B)))) ) ) ) ) ) ) ) ).
fof(t6_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_trees_4(D, k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) =>  (r2_tarski(D, k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k5_osafree(A, B))), C)) <=>  (k4_finseq_1(D)=k4_finseq_1(k1_msualg_1(A, C)) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) => r2_tarski(k1_funct_1(D, E), k4_osafree(A, B, k7_partfun1(u1_struct_0(A), k1_msualg_1(A, C), E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_trees_4(D, k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) =>  (r1_lang1(k2_osafree(A, B), k3_osafree(A, B, C), k1_dtconstr(u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), D)) <=> r2_tarski(D, k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k5_osafree(A, B))), C))) ) ) ) ) ) ) ) ) ).
fof(t8_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  => k3_tarski(k10_xtuple_0(k5_osafree(A, B)))=k4_dtconstr(k2_osafree(A, B))) ) ) ) ).
fof(d9_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k5_osafree(A, B))), C), k1_funct_1(k3_relat_1(u2_msualg_1(A), k5_osafree(A, B)), C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k5_osafree(A, B))), C), k1_funct_1(k3_relat_1(u2_msualg_1(A), k5_osafree(A, B)), C))))) )  =>  (D=k6_osafree(A, B, C) <=>  (! [E] :  (m1_trees_4(E, k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) =>  (r1_lang1(k2_osafree(A, B), k3_osafree(A, B, C), k1_dtconstr(u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), E)) => k1_funct_1(D, E)=k8_trees_4(u1_struct_0(k2_osafree(A, B)), k3_osafree(A, B, C), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m2_pboole(C, u4_struct_0(A), k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k5_osafree(A, B))), k3_relat_1(u2_msualg_1(A), k5_osafree(A, B))) =>  (C=k7_osafree(A, B) <=>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) => r2_funct_2(k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k5_osafree(A, B))), D), k1_funct_1(k3_relat_1(u2_msualg_1(A), k5_osafree(A, B)), D), k5_msualg_4(A, k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k5_osafree(A, B))), k3_relat_1(u2_msualg_1(A), k5_osafree(A, B)), C, D), k6_osafree(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(d11_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  => k8_osafree(A, B)=g3_msualg_1(A, k5_osafree(A, B), k7_osafree(A, B))) ) ) ) ).
fof(t10_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (r2_tarski(E, k1_funct_1(B, C)) =>  (m1_dtconstr(k1_trees_4(k4_tarski(E, C)), u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) &  ( (! [F] :  ~ (k4_tarski(F, u1_struct_0(A))=k1_funct_1(k1_trees_4(k4_tarski(E, C)), k1_xboole_0)) )  &  ( (r2_tarski(k1_trees_4(k4_tarski(E, C)), k1_funct_1(u3_msualg_1(A, k8_osafree(A, B)), D)) => r3_orders_2(A, C, D))  &  (r3_orders_2(A, C, D) => r2_tarski(k1_trees_4(k4_tarski(E, C)), k1_funct_1(u3_msualg_1(A, k8_osafree(A, B)), D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_dtconstr(C, u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (k1_funct_1(C, k1_xboole_0)=k4_tarski(D, u1_struct_0(A)) =>  ( (? [E] :  (m2_dtconstr(E, k2_osafree(A, B), k9_osafree(A, B, D)) &  (C=k9_dtconstr(k2_osafree(A, B), k9_osafree(A, B, D), E) &  (r1_lang1(k2_osafree(A, B), k9_osafree(A, B, D), k1_dtconstr(u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), E)) &  (r2_tarski(E, k3_msualg_1(A, D, k8_osafree(A, B))) & C=k1_funct_1(k5_msualg_1(A, D, k8_osafree(A, B)), E)) ) ) ) )  &  ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  ~ (C=k1_trees_4(k4_tarski(F, E))) ) ) )  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(C, k1_funct_1(u3_msualg_1(A, k8_osafree(A, B)), E)) <=> r3_orders_2(A, k2_msualg_1(A, D), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_osafree(A, B))) =>  (! [D] :  (m1_trees_4(D, k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) =>  (r1_lang1(k2_osafree(A, B), C, k1_dtconstr(u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), D)) =>  (r2_tarski(C, k7_dtconstr(k2_osafree(A, B))) &  (r2_tarski(k8_trees_4(u1_struct_0(k2_osafree(A, B)), C, D), k4_dtconstr(k2_osafree(A, B))) &  (? [E] :  (m1_subset_1(E, u4_struct_0(A)) &  (C=k4_tarski(E, u1_struct_0(A)) &  (r2_tarski(D, k3_msualg_1(A, E, k8_osafree(A, B))) &  (k8_trees_4(u1_struct_0(k2_osafree(A, B)), C, D)=k1_funct_1(k5_msualg_1(A, E, k8_osafree(A, B)), D) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r2_tarski(k8_trees_4(u1_struct_0(k2_osafree(A, B)), C, D), k1_funct_1(u3_msualg_1(A, k8_osafree(A, B)), F)) <=> r3_orders_2(A, k2_msualg_1(A, E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (r2_tarski(D, k3_msualg_1(A, C, k8_osafree(A, B))) <=>  (m1_trees_4(D, k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) & r1_lang1(k2_osafree(A, B), k9_osafree(A, B, C), k15_trees_3(D))) ) ) ) ) ) ) ) ) ) ).
fof(d12_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_dtconstr(C, u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (D=k10_osafree(A, B, C) <=>  (r2_tarski(C, k1_funct_1(u3_msualg_1(A, k8_osafree(A, B)), D)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(C, k1_funct_1(u3_msualg_1(A, k8_osafree(A, B)), E)) => r3_orders_2(A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k8_osafree(A, B)))) <=> m1_dtconstr(C, u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B)))) ) ) ) ) ) ).
fof(t15_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (r2_tarski(D, k1_funct_1(u3_msualg_1(A, k8_osafree(A, B)), C)) => m1_dtconstr(D, u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B)))) ) ) ) ) ) ) ) ).
fof(t16_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (r2_tarski(D, k1_funct_1(B, C)) =>  (! [E] :  (m1_dtconstr(E, u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) =>  (E=k1_trees_4(k4_tarski(D, C)) => k10_osafree(A, B, E)=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k3_msualg_1(A, C, k8_osafree(A, B))) =>  (! [E] :  (m1_dtconstr(E, u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) =>  (E=k3_funct_2(k3_msualg_1(A, C, k8_osafree(A, B)), k4_msualg_1(A, C, k8_osafree(A, B)), k5_msualg_1(A, C, k8_osafree(A, B)), D) => k10_osafree(A, B, E)=k2_msualg_1(A, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_trees_4(C, k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  (D=k11_osafree(A, B, C) <=>  (k4_finseq_1(D)=k4_finseq_1(C) &  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_tarski(E, k4_finseq_1(C)) &  (! [F] :  (m1_dtconstr(F, u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) =>  ~ ( (F=k1_funct_1(C, E) & k1_funct_1(D, E)=k10_osafree(A, B, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_trees_4(D, k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) =>  (r2_osalg_1(A, k11_osafree(A, B, D), k1_msualg_1(A, C)) <=> r2_tarski(D, k3_msualg_1(A, C, k8_osafree(A, B)))) ) ) ) ) ) ) ) ) ).
fof(d14_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v8_osalg_1(A) &  (v10_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_trees_4(D, k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) =>  (r1_lang1(k2_osafree(A, B), k9_osafree(A, B, k2_osalg_1(A, C, k11_osafree(A, B, D))), k1_dtconstr(u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), D)) => k12_osafree(A, B, C, D)=k8_trees_4(u1_struct_0(k2_osafree(A, B)), k9_osafree(A, B, k2_osalg_1(A, C, k11_osafree(A, B, D))), D)) ) ) ) ) ) ) ) ) ).
fof(d15_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_osafree(A, B))) =>  ( (? [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  & r1_lang1(k2_osafree(A, B), C, D)) )  =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (D=k13_osafree(A, B, C) <=> k4_tarski(D, u1_struct_0(A))=C) ) ) ) ) ) ) ) ) ) ).
fof(d16_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_osafree(A, B))) =>  (r2_tarski(C, k6_dtconstr(k2_osafree(A, B))) => k14_osafree(A, B, C)=k2_trees_4(u1_struct_0(k2_osafree(A, B)), C)) ) ) ) ) ) ) ).
fof(d17_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v2_msualg_4(C, A, k8_osafree(A, B)) &  (v3_msualg_4(C, A, k8_osafree(A, B)) &  (v3_osalg_4(C, A, k8_osafree(A, B)) & m1_osalg_4(C, A, k8_osafree(A, B))) ) )  =>  (C=k15_osafree(A, B) <=>  (! [D] :  ( (v2_msualg_4(D, A, k8_osafree(A, B)) &  (v3_msualg_4(D, A, k8_osafree(A, B)) &  (v3_osalg_4(D, A, k8_osafree(A, B)) & m1_osalg_4(D, A, k8_osafree(A, B))) ) )  => r2_pboole(u1_struct_0(A), C, D)) ) ) ) ) ) ) ) ) ).
fof(d18_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  => k16_osafree(A, B)=k16_osalg_4(A, k8_osafree(A, B), k15_osafree(A, B))) ) ) ) ).
fof(d21_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_dtconstr(k2_osafree(A, B)), k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A, B)), u1_struct_0(A)))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A, B)), k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A, B)), u1_struct_0(A))))))) )  =>  (C=k19_osafree(A, B) <=>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(k2_osafree(A, B))) =>  (r2_tarski(D, k6_dtconstr(k2_osafree(A, B))) => k1_funct_1(C, k2_trees_4(u1_struct_0(k2_osafree(A, B)), D))=k17_osafree(A, B, D)) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_osafree(A, B))) =>  (! [E] :  (m1_trees_4(E, k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) =>  (r1_lang1(k2_osafree(A, B), D, k1_dtconstr(u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), E)) => k1_funct_1(C, k8_trees_4(u1_struct_0(k2_osafree(A, B)), D, E))=k18_osafree(A, B, D, k11_lang1(k4_dtconstr(k2_osafree(A, B)), k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A, B)), u1_struct_0(A))), E, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_dtconstr(C, u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(C, k1_funct_1(u3_msualg_1(A, k8_osafree(A, B)), D)) <=> r2_hidden(k4_tarski(C, D), k3_funct_2(k4_dtconstr(k2_osafree(A, B)), k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A, B)), u1_struct_0(A))), k19_osafree(A, B), C))) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_dtconstr(E, u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) =>  (r2_hidden(k4_tarski(E, D), k3_funct_2(k4_dtconstr(k2_osafree(A, B)), k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A, B)), u1_struct_0(A))), k19_osafree(A, B), C)) => r2_hidden(k4_tarski(C, D), k3_funct_2(k4_dtconstr(k2_osafree(A, B)), k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A, B)), u1_struct_0(A))), k19_osafree(A, B), E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_dtconstr(C, u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (? [E] :  (m1_dtconstr(E, u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) & r2_hidden(k4_tarski(E, D), k3_funct_2(k4_dtconstr(k2_osafree(A, B)), k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A, B)), u1_struct_0(A))), k19_osafree(A, B), C))) )  => r2_hidden(k4_tarski(C, D), k3_funct_2(k4_dtconstr(k2_osafree(A, B)), k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A, B)), u1_struct_0(A))), k19_osafree(A, B), C))) ) ) ) ) ) ) ) ) ).
fof(t21_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_dtconstr(C, u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) =>  (! [D] :  (m1_dtconstr(D, u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r3_orders_2(A, E, F) &  (r2_tarski(C, k1_funct_1(u3_msualg_1(A, k8_osafree(A, B)), E)) & r2_tarski(D, k1_funct_1(u3_msualg_1(A, k8_osafree(A, B)), E))) )  =>  (r2_hidden(k4_tarski(D, E), k3_funct_2(k4_dtconstr(k2_osafree(A, B)), k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A, B)), u1_struct_0(A))), k19_osafree(A, B), C)) <=> r2_hidden(k4_tarski(D, F), k3_funct_2(k4_dtconstr(k2_osafree(A, B)), k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A, B)), u1_struct_0(A))), k19_osafree(A, B), C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_dtconstr(C, u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) =>  (! [D] :  (m1_dtconstr(D, u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) =>  (! [E] :  (m1_dtconstr(E, u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_hidden(k4_tarski(D, F), k3_funct_2(k4_dtconstr(k2_osafree(A, B)), k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A, B)), u1_struct_0(A))), k19_osafree(A, B), C)) & r2_hidden(k4_tarski(E, F), k3_funct_2(k4_dtconstr(k2_osafree(A, B)), k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A, B)), u1_struct_0(A))), k19_osafree(A, B), D)))  => r2_hidden(k4_tarski(C, F), k3_funct_2(k4_dtconstr(k2_osafree(A, B)), k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A, B)), u1_struct_0(A))), k19_osafree(A, B), E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (! [D] :  (! [E] :  (r2_hidden(k4_tarski(C, E), k1_funct_1(k19_osafree(A, B), D)) =>  (r2_hidden(C, k4_dtconstr(k2_osafree(A, B))) &  (r2_hidden(D, k4_dtconstr(k2_osafree(A, B))) & r2_hidden(E, u1_struct_0(A))) ) ) ) ) ) ) ) ) ) ).
fof(t24_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(u1_struct_0(A)), k2_osalg_4(A)) =>  (! [D] :  (! [E] :  (r2_hidden(k4_tarski(D, E), k5_osalg_4(A, k8_osafree(A, B), k20_osafree(A, B), C)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (r2_tarski(F, C) & r2_hidden(k4_tarski(D, F), k1_funct_1(k19_osafree(A, B), E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_funct_1(u3_msualg_1(A, k8_osafree(A, B)), C)) => k8_osalg_4(A, k8_osafree(A, B), k20_osafree(A, B), C, D)=k9_xtuple_0(k1_funct_1(k19_osafree(A, B), D))) ) ) ) ) ) ) ) ).
fof(t26_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, k8_osafree(A, B)), u3_msualg_1(A, k8_osafree(A, B))) =>  (r8_pboole(u1_struct_0(A), C, k20_osafree(A, B)) <=>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (r2_hidden(F, k1_funct_1(B, D)) =>  ( (r3_orders_2(A, D, E) => r2_hidden(k4_tarski(k1_trees_4(k4_tarski(F, D)), k1_trees_4(k4_tarski(F, D))), k1_msualg_4(u1_struct_0(A), u3_msualg_1(A, k8_osafree(A, B)), u3_msualg_1(A, k8_osafree(A, B)), C, E)))  &  (! [G] :  ( (r2_hidden(k4_tarski(k1_trees_4(k4_tarski(F, D)), G), k1_msualg_4(u1_struct_0(A), u3_msualg_1(A, k8_osafree(A, B)), u3_msualg_1(A, k8_osafree(A, B)), C, E)) | r2_hidden(k4_tarski(G, k1_trees_4(k4_tarski(F, D))), k1_msualg_4(u1_struct_0(A), u3_msualg_1(A, k8_osafree(A, B)), u3_msualg_1(A, k8_osafree(A, B)), C, E)))  =>  (r3_orders_2(A, D, E) & G=k1_trees_4(k4_tarski(F, D))) ) ) ) ) ) ) ) ) )  &  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k3_msualg_1(A, D, k8_osafree(A, B))) =>  (! [G] :  (m1_subset_1(G, k3_msualg_1(A, E, k8_osafree(A, B))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (r2_hidden(k4_tarski(k3_funct_2(k3_msualg_1(A, D, k8_osafree(A, B)), k4_msualg_1(A, D, k8_osafree(A, B)), k5_msualg_1(A, D, k8_osafree(A, B)), F), k3_funct_2(k3_msualg_1(A, E, k8_osafree(A, B)), k4_msualg_1(A, E, k8_osafree(A, B)), k5_msualg_1(A, E, k8_osafree(A, B)), G)), k1_msualg_4(u1_struct_0(A), u3_msualg_1(A, k8_osafree(A, B)), u3_msualg_1(A, k8_osafree(A, B)), C, H)) <=>  (r1_osalg_1(A, D, E) &  (k3_finseq_1(k1_msualg_1(A, D))=k3_finseq_1(k1_msualg_1(A, E)) &  (r3_orders_2(A, k2_msualg_1(A, D), H) &  (r3_orders_2(A, k2_msualg_1(A, E), H) &  (? [I] :  (m2_finseq_2(I, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) &  (k4_finseq_1(I)=k4_finseq_1(F) &  (! [J] :  (v7_ordinal1(J) =>  (r2_tarski(J, k4_finseq_1(I)) => r2_hidden(k4_tarski(k1_funct_1(F, J), k1_funct_1(G, J)), k1_msualg_4(u1_struct_0(A), u3_msualg_1(A, k8_osafree(A, B)), u3_msualg_1(A, k8_osafree(A, B)), C, k7_partfun1(u1_struct_0(A), I, J)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  => v3_osalg_4(k20_osafree(A, B), A, k8_osafree(A, B))) ) ) ) ).
fof(d23_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_funct_1(u3_msualg_1(A, k8_osafree(A, B)), C))) =>  (D=k21_osafree(A, B, C) <=>  (! [E] :  (r2_hidden(E, D) <=>  (? [F] :  (r2_hidden(F, k1_funct_1(B, C)) & E=k1_trees_4(k4_tarski(F, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d24_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, k8_osafree(A, B))) =>  (C=k22_osafree(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_funct_1(C, D)=k21_osafree(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t29_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  => v2_relat_1(k22_osafree(A, B))) ) ) ) ).
fof(d25_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_funct_1(u3_msualg_1(A, k16_osafree(A, B)), C))) =>  (D=k23_osafree(A, B, C) <=>  (! [E] :  (r2_hidden(E, D) <=>  (? [F] :  (r2_hidden(F, k1_funct_1(B, C)) & E=k1_funct_1(k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, k8_osafree(A, B)), u3_msualg_1(A, k16_osalg_4(A, k8_osafree(A, B), k15_osafree(A, B))), k18_osalg_4(A, k8_osafree(A, B), k15_osafree(A, B)), C), k1_trees_4(k4_tarski(F, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d26_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_osafree(C, A, k16_osafree(A, B)) =>  (C=k24_osafree(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_funct_1(C, D)=k23_osafree(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t31_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  => v2_relat_1(k24_osafree(A, B))) ) ) ) ).
fof(d27_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v2_msualg_4(C, A, k8_osafree(A, B)) &  (v3_msualg_4(C, A, k8_osafree(A, B)) & m1_osalg_4(C, A, k8_osafree(A, B))) )  =>  (! [D] :  (m1_dtconstr(D, u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) =>  (! [E] :  (m1_subset_1(E, k6_osalg_4(A, k8_osafree(A, B), C, k10_osafree(A, B, D))) =>  (E=k25_osafree(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, k8_osafree(A, B)), F)) =>  (D=G => E=k8_osalg_4(A, k8_osafree(A, B), C, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v2_msualg_4(C, A, k8_osafree(A, B)) &  (v3_msualg_4(C, A, k8_osafree(A, B)) & m1_osalg_4(C, A, k8_osafree(A, B))) )  =>  (! [D] :  (m1_dtconstr(D, u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) => r2_tarski(D, k25_osafree(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t33_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_dtconstr(D, u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) =>  (! [E] :  (! [F] :  ( (r2_tarski(E, k1_funct_1(B, C)) & D=k1_trees_4(k4_tarski(E, C)))  =>  (r2_tarski(F, k25_osafree(A, B, k20_osafree(A, B), D)) <=> F=D) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v2_msualg_4(C, A, k8_osafree(A, B)) &  (v3_msualg_4(C, A, k8_osafree(A, B)) & m1_osalg_4(C, A, k8_osafree(A, B))) )  =>  (! [D] :  (m1_dtconstr(D, u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) =>  (! [E] :  (m1_dtconstr(E, u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) =>  (r2_tarski(E, k25_osafree(A, B, C, D)) <=> k25_osafree(A, B, C, D)=k25_osafree(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v2_msualg_4(C, A, k8_osafree(A, B)) &  (v3_msualg_4(C, A, k8_osafree(A, B)) & m1_osalg_4(C, A, k8_osafree(A, B))) )  =>  (! [D] :  ( (v2_msualg_4(D, A, k8_osafree(A, B)) &  (v3_msualg_4(D, A, k8_osafree(A, B)) & m1_osalg_4(D, A, k8_osafree(A, B))) )  =>  (! [E] :  (m1_dtconstr(E, u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) =>  (r2_pboole(u1_struct_0(A), C, D) => r1_tarski(k25_osafree(A, B, C, E), k25_osafree(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_dtconstr(D, u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) =>  (! [E] :  (! [F] :  ( (r2_tarski(E, k1_funct_1(B, C)) & D=k1_trees_4(k4_tarski(E, C)))  =>  (r2_tarski(F, k25_osafree(A, B, k15_osafree(A, B), D)) <=> F=D) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d28_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), k22_osafree(A, B), C) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_osafree(A, B))) =>  (r2_tarski(E, k6_dtconstr(k2_osafree(A, B))) =>  (! [F] :  (m1_subset_1(F, k3_card_3(C)) =>  (F=k26_osafree(A, B, C, D, E) <=>  (! [G] :  ( (v1_relat_1(G) & v1_funct_1(G))  =>  (G=k1_funct_1(D, k2_xtuple_0(E)) => F=k1_funct_1(G, k2_trees_4(u1_struct_0(k2_osafree(A, B)), E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v12_osalg_1(C, A) &  (v13_osalg_1(C, A) & l3_msualg_1(C, A)) ) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), k22_osafree(A, B), u3_msualg_1(A, C)) =>  (? [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, k8_osafree(A, B)), u3_msualg_1(A, C)) &  (r1_msualg_3(A, k8_osafree(A, B), C, E) &  (v1_osalg_3(E, A) & r8_pboole(u1_struct_0(A), k1_msafree(u1_struct_0(A), u3_msualg_1(A, k8_osafree(A, B)), u3_msualg_1(A, C), k22_osafree(A, B), E), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d29_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k23_osafree(A, B, C), k21_osafree(A, B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k23_osafree(A, B, C), k21_osafree(A, B, C))))) )  =>  (D=k27_osafree(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_osafree(A, B))) =>  (r2_tarski(k1_funct_1(k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, k8_osafree(A, B)), u3_msualg_1(A, k16_osalg_4(A, k8_osafree(A, B), k15_osafree(A, B))), k18_osalg_4(A, k8_osafree(A, B), k15_osafree(A, B)), C), k2_trees_4(u1_struct_0(k2_osafree(A, B)), E)), k23_osafree(A, B, C)) => k1_funct_1(D, k1_funct_1(k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, k8_osafree(A, B)), u3_msualg_1(A, k16_osalg_4(A, k8_osafree(A, B), k15_osafree(A, B))), k18_osalg_4(A, k8_osafree(A, B), k15_osafree(A, B)), C), k2_trees_4(u1_struct_0(k2_osafree(A, B)), E)))=k2_trees_4(u1_struct_0(k2_osafree(A, B)), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d30_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m2_pboole(C, u1_struct_0(A), k24_osafree(A, B), k22_osafree(A, B)) =>  (C=k28_osafree(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_msualg_3(u1_struct_0(A), k24_osafree(A, B), k22_osafree(A, B), C, D)=k27_osafree(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t38_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  => v1_osafree(k24_osafree(A, B), A, k16_osafree(A, B))) ) ) ) ).
fof(t39_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  => v2_osafree(k16_osafree(A, B), A)) ) ) ) ).
fof(d31_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v8_osalg_1(A) &  (v10_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_dtconstr(k2_osafree(A, B)), k4_dtconstr(k2_osafree(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A, B)), k4_dtconstr(k2_osafree(A, B)))))) )  =>  (C=k29_osafree(A, B) <=>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(k2_osafree(A, B))) =>  (r2_tarski(D, k6_dtconstr(k2_osafree(A, B))) => k1_funct_1(C, k2_trees_4(u1_struct_0(k2_osafree(A, B)), D))=k14_osafree(A, B, D)) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_osafree(A, B))) =>  (! [E] :  (m1_trees_4(E, k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) =>  (r1_lang1(k2_osafree(A, B), D, k1_dtconstr(u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), E)) => k1_funct_1(C, k8_trees_4(u1_struct_0(k2_osafree(A, B)), D, E))=k12_osafree(A, B, k13_osafree(A, B, D), k11_lang1(k4_dtconstr(k2_osafree(A, B)), k4_dtconstr(k2_osafree(A, B)), E, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v8_osalg_1(A) &  (v10_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_dtconstr(C, u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) =>  (r2_tarski(k3_funct_2(k4_dtconstr(k2_osafree(A, B)), k4_dtconstr(k2_osafree(A, B)), k29_osafree(A, B), C), k25_osafree(A, B, k20_osafree(A, B), C)) &  (r3_orders_2(A, k10_osafree(A, B, k3_funct_2(k4_dtconstr(k2_osafree(A, B)), k4_dtconstr(k2_osafree(A, B)), k29_osafree(A, B), C)), k10_osafree(A, B, C)) &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  ( (r2_tarski(E, k1_funct_1(B, D)) & C=k1_trees_4(k4_tarski(E, D)))  => k3_funct_2(k4_dtconstr(k2_osafree(A, B)), k4_dtconstr(k2_osafree(A, B)), k29_osafree(A, B), C)=C) ) ) )  &  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_trees_4(E, k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) =>  ( (r1_lang1(k2_osafree(A, B), k9_osafree(A, B, D), k1_dtconstr(u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), E)) & C=k8_trees_4(u1_struct_0(k2_osafree(A, B)), k9_osafree(A, B, D), E))  =>  (r2_osalg_1(A, k11_osafree(A, B, k11_lang1(k4_dtconstr(k2_osafree(A, B)), k4_dtconstr(k2_osafree(A, B)), E, k29_osafree(A, B))), k1_msualg_1(A, D)) &  (r1_lang1(k2_osafree(A, B), k9_osafree(A, B, D), k15_trees_3(k11_lang1(k4_dtconstr(k2_osafree(A, B)), k4_dtconstr(k2_osafree(A, B)), E, k29_osafree(A, B)))) &  (r1_lang1(k2_osafree(A, B), k9_osafree(A, B, k2_osalg_1(A, D, k11_osafree(A, B, k11_lang1(k4_dtconstr(k2_osafree(A, B)), k4_dtconstr(k2_osafree(A, B)), E, k29_osafree(A, B))))), k15_trees_3(k11_lang1(k4_dtconstr(k2_osafree(A, B)), k4_dtconstr(k2_osafree(A, B)), E, k29_osafree(A, B)))) & k3_funct_2(k4_dtconstr(k2_osafree(A, B)), k4_dtconstr(k2_osafree(A, B)), k29_osafree(A, B), C)=k4_trees_4(k9_osafree(A, B, k2_osalg_1(A, D, k11_osafree(A, B, k11_lang1(k4_dtconstr(k2_osafree(A, B)), k4_dtconstr(k2_osafree(A, B)), E, k29_osafree(A, B))))), k11_lang1(k4_dtconstr(k2_osafree(A, B)), k4_dtconstr(k2_osafree(A, B)), E, k29_osafree(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v8_osalg_1(A) &  (v10_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_dtconstr(C, u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) =>  (! [D] :  (m1_dtconstr(D, u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) =>  (r2_tarski(D, k25_osafree(A, B, k20_osafree(A, B), C)) => k3_funct_2(k4_dtconstr(k2_osafree(A, B)), k4_dtconstr(k2_osafree(A, B)), k29_osafree(A, B), D)=k3_funct_2(k4_dtconstr(k2_osafree(A, B)), k4_dtconstr(k2_osafree(A, B)), k29_osafree(A, B), C)) ) ) ) ) ) ) ) ) ).
fof(t42_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v8_osalg_1(A) &  (v10_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_dtconstr(C, u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) =>  (! [D] :  (m1_dtconstr(D, u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) =>  (r2_tarski(D, k25_osafree(A, B, k20_osafree(A, B), C)) <=> k3_funct_2(k4_dtconstr(k2_osafree(A, B)), k4_dtconstr(k2_osafree(A, B)), k29_osafree(A, B), D)=k3_funct_2(k4_dtconstr(k2_osafree(A, B)), k4_dtconstr(k2_osafree(A, B)), k29_osafree(A, B), C)) ) ) ) ) ) ) ) ) ).
fof(t43_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v8_osalg_1(A) &  (v10_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_dtconstr(C, u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) => k3_funct_2(k4_dtconstr(k2_osafree(A, B)), k4_dtconstr(k2_osafree(A, B)), k29_osafree(A, B), k3_funct_2(k4_dtconstr(k2_osafree(A, B)), k4_dtconstr(k2_osafree(A, B)), k29_osafree(A, B), C))=k3_funct_2(k4_dtconstr(k2_osafree(A, B)), k4_dtconstr(k2_osafree(A, B)), k29_osafree(A, B), C)) ) ) ) ) ) ).
fof(t44_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v8_osalg_1(A) &  (v10_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v2_msualg_4(C, A, k8_osafree(A, B)) &  (v3_osalg_4(C, A, k8_osafree(A, B)) & m1_osalg_4(C, A, k8_osafree(A, B))) )  =>  (! [D] :  (m1_dtconstr(D, u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) => r2_hidden(k4_tarski(D, k3_funct_2(k4_dtconstr(k2_osafree(A, B)), k4_dtconstr(k2_osafree(A, B)), k29_osafree(A, B), D)), k2_msualg_4(A, k8_osafree(A, B), C, k10_osafree(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t45_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v8_osalg_1(A) &  (v10_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v2_msualg_4(C, A, k8_osafree(A, B)) &  (v3_osalg_4(C, A, k8_osafree(A, B)) & m1_osalg_4(C, A, k8_osafree(A, B))) )  => r2_pboole(u1_struct_0(A), k20_osafree(A, B), C)) ) ) ) ) ) ).
fof(t46_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v8_osalg_1(A) &  (v10_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  => r8_pboole(u1_struct_0(A), k15_osafree(A, B), k20_osafree(A, B))) ) ) ) ).
fof(d32_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v8_osalg_1(A) &  (v10_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_dtconstr(C, u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B))) =>  (m2_osafree(C, A, B) <=> k3_funct_2(k4_dtconstr(k2_osafree(A, B)), k4_dtconstr(k2_osafree(A, B)), k29_osafree(A, B), C)=C) ) ) ) ) ) ) ).
fof(d33_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v8_osalg_1(A) &  (v10_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  => k30_osafree(A, B)=k10_xtuple_0(k29_osafree(A, B))) ) ) ) ).
fof(t47_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v8_osalg_1(A) &  (v10_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m2_osafree(C, A, B) <=> r2_tarski(C, k30_osafree(A, B))) ) ) ) ) ) ).
fof(dt_m1_osafree, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_osafree(C, A, B) => m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B))) ) ) ) ).
fof(existence_m1_osafree, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (? [C] : m1_osafree(C, A, B)) ) ) ).
fof(dt_k1_osafree, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  => m1_subset_1(k1_osafree(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A))), k3_card_3(k3_msafree(u1_struct_0(A), B))), k3_finseq_2(k2_xboole_0(k2_zfmisc_1(u4_struct_0(A), k1_tarski(u1_struct_0(A))), k3_card_3(k3_msafree(u1_struct_0(A), B)))))))) ) ).
fof(dt_k2_osafree, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  => l1_lang1(k2_osafree(A, B))) ) ).
fof(dt_k3_osafree, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, u4_struct_0(A))) )  => m1_subset_1(k3_osafree(A, B, C), u1_struct_0(k2_osafree(A, B)))) ) ).
fof(dt_k4_osafree, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k4_osafree(A, B, C), k1_zfmisc_1(k4_dtconstr(k2_osafree(A, B))))) ) ).
fof(dt_k5_osafree, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (v1_relat_1(k5_osafree(A, B)) &  (v4_relat_1(k5_osafree(A, B), u1_struct_0(A)) &  (v1_funct_1(k5_osafree(A, B)) &  (v1_partfun1(k5_osafree(A, B), u1_struct_0(A)) & v11_osalg_1(k5_osafree(A, B), A)) ) ) ) ) ) ).
fof(dt_k6_osafree, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, u4_struct_0(A))) )  =>  (v1_funct_1(k6_osafree(A, B, C)) &  (v1_funct_2(k6_osafree(A, B, C), k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k5_osafree(A, B))), C), k1_funct_1(k3_relat_1(u2_msualg_1(A), k5_osafree(A, B)), C)) & m1_subset_1(k6_osafree(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k5_osafree(A, B))), C), k1_funct_1(k3_relat_1(u2_msualg_1(A), k5_osafree(A, B)), C))))) ) ) ) ).
fof(dt_k7_osafree, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  => m2_pboole(k7_osafree(A, B), u4_struct_0(A), k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k5_osafree(A, B))), k3_relat_1(u2_msualg_1(A), k5_osafree(A, B)))) ) ).
fof(dt_k8_osafree, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (v12_osalg_1(k8_osafree(A, B), A) & l3_msualg_1(k8_osafree(A, B), A)) ) ) ).
fof(dt_k9_osafree, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, u4_struct_0(A))) )  => m2_subset_1(k9_osafree(A, B, C), u1_struct_0(k2_osafree(A, B)), k7_dtconstr(k2_osafree(A, B)))) ) ).
fof(redefinition_k9_osafree, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, u4_struct_0(A))) )  => k9_osafree(A, B, C)=k3_osafree(A, B, C)) ) ).
fof(dt_k10_osafree, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, k4_dtconstr(k2_osafree(A, B)))) )  => m1_subset_1(k10_osafree(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k11_osafree, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_finseq_1(C, k4_dtconstr(k2_osafree(A, B)))) )  => m2_finseq_2(k11_osafree(A, B, C), u1_struct_0(A), k3_finseq_2(u1_struct_0(A)))) ) ).
fof(dt_k12_osafree, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v8_osalg_1(A) &  (v10_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (m1_subset_1(C, u4_struct_0(A)) & m1_finseq_1(D, k4_dtconstr(k2_osafree(A, B)))) ) )  => m1_dtconstr(k12_osafree(A, B, C, D), u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B)))) ) ).
fof(dt_k13_osafree, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, u1_struct_0(k2_osafree(A, B)))) )  => m1_subset_1(k13_osafree(A, B, C), u4_struct_0(A))) ) ).
fof(dt_k14_osafree, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, u1_struct_0(k2_osafree(A, B)))) )  => m1_dtconstr(k14_osafree(A, B, C), u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B)))) ) ).
fof(dt_k15_osafree, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (v2_msualg_4(k15_osafree(A, B), A, k8_osafree(A, B)) &  (v3_msualg_4(k15_osafree(A, B), A, k8_osafree(A, B)) &  (v3_osalg_4(k15_osafree(A, B), A, k8_osafree(A, B)) & m1_osalg_4(k15_osafree(A, B), A, k8_osafree(A, B))) ) ) ) ) ).
fof(dt_k16_osafree, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (v3_msualg_1(k16_osafree(A, B), A) &  (v4_msualg_1(k16_osafree(A, B), A) &  (v12_osalg_1(k16_osafree(A, B), A) &  (v13_osalg_1(k16_osafree(A, B), A) & l3_msualg_1(k16_osafree(A, B), A)) ) ) ) ) ) ).
fof(dt_k17_osafree, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, u1_struct_0(k2_osafree(A, B)))) )  => m1_subset_1(k17_osafree(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A, B)), u1_struct_0(A))))) ) ).
fof(dt_k18_osafree, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (m1_subset_1(C, u1_struct_0(k2_osafree(A, B))) & m1_finseq_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A, B)), u1_struct_0(A))))) ) )  => m1_subset_1(k18_osafree(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A, B)), u1_struct_0(A))))) ) ).
fof(dt_k19_osafree, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (v1_funct_1(k19_osafree(A, B)) &  (v1_funct_2(k19_osafree(A, B), k4_dtconstr(k2_osafree(A, B)), k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A, B)), u1_struct_0(A)))) & m1_subset_1(k19_osafree(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A, B)), k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A, B)), u1_struct_0(A))))))) ) ) ) ).
fof(dt_k20_osafree, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (v2_msualg_4(k20_osafree(A, B), A, k8_osafree(A, B)) & m1_osalg_4(k20_osafree(A, B), A, k8_osafree(A, B))) ) ) ).
fof(dt_k21_osafree, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k21_osafree(A, B, C), k1_zfmisc_1(k1_funct_1(u3_msualg_1(A, k8_osafree(A, B)), C)))) ) ).
fof(dt_k22_osafree, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  => m3_pboole(k22_osafree(A, B), u1_struct_0(A), u3_msualg_1(A, k8_osafree(A, B)))) ) ).
fof(dt_k23_osafree, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k23_osafree(A, B, C), k1_zfmisc_1(k1_funct_1(u3_msualg_1(A, k16_osafree(A, B)), C)))) ) ).
fof(dt_k24_osafree, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  => m1_osafree(k24_osafree(A, B), A, k16_osafree(A, B))) ) ).
fof(dt_k25_osafree, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v2_msualg_4(C, A, k8_osafree(A, B)) &  (v3_msualg_4(C, A, k8_osafree(A, B)) & m1_osalg_4(C, A, k8_osafree(A, B))) )  & m1_subset_1(D, k4_dtconstr(k2_osafree(A, B)))) ) )  => m1_subset_1(k25_osafree(A, B, C, D), k6_osalg_4(A, k8_osafree(A, B), C, k10_osafree(A, B, D)))) ) ).
fof(dt_k26_osafree, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  &  (m2_pboole(D, u1_struct_0(A), k22_osafree(A, B), C) & m1_subset_1(E, u1_struct_0(k2_osafree(A, B)))) ) ) )  => m1_subset_1(k26_osafree(A, B, C, D, E), k3_card_3(C))) ) ).
fof(dt_k27_osafree, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, u1_struct_0(A))) )  =>  (v1_funct_1(k27_osafree(A, B, C)) &  (v1_funct_2(k27_osafree(A, B, C), k23_osafree(A, B, C), k21_osafree(A, B, C)) & m1_subset_1(k27_osafree(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k23_osafree(A, B, C), k21_osafree(A, B, C))))) ) ) ) ).
fof(dt_k28_osafree, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  => m2_pboole(k28_osafree(A, B), u1_struct_0(A), k24_osafree(A, B), k22_osafree(A, B))) ) ).
fof(dt_k29_osafree, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v8_osalg_1(A) &  (v10_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) ) ) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (v1_funct_1(k29_osafree(A, B)) &  (v1_funct_2(k29_osafree(A, B), k4_dtconstr(k2_osafree(A, B)), k4_dtconstr(k2_osafree(A, B))) & m1_subset_1(k29_osafree(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A, B)), k4_dtconstr(k2_osafree(A, B)))))) ) ) ) ).
fof(dt_m2_osafree, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v8_osalg_1(A) &  (v10_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) ) ) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (! [C] :  (m2_osafree(C, A, B) => m1_dtconstr(C, u1_struct_0(k2_osafree(A, B)), k5_trees_3(u1_struct_0(k2_osafree(A, B))), k4_dtconstr(k2_osafree(A, B)))) ) ) ) ).
fof(existence_m2_osafree, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v8_osalg_1(A) &  (v10_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) ) ) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (? [C] : m2_osafree(C, A, B)) ) ) ).
fof(dt_k30_osafree, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v8_osalg_1(A) &  (v10_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) ) ) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  => m1_subset_1(k30_osafree(A, B), k1_zfmisc_1(k4_dtconstr(k2_osafree(A, B))))) ) ).
fof(d7_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_osafree(A, B, C)=a_3_0_osafree(A, B, C)) ) ) ) ) ) ).
fof(t9_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_funct_1(u3_msualg_1(A, k8_osafree(A, B)), C)=a_3_0_osafree(A, B, C)) ) ) ) ) ) ).
fof(d19_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_osafree(A, B))) => k17_osafree(A, B, C)=a_3_1_osafree(A, B, C)) ) ) ) ) ) ).
fof(d20_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_osafree(A, B))) =>  (! [D] :  (m2_finseq_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A, B)), u1_struct_0(A)))) => k18_osafree(A, B, C, D)=a_4_0_osafree(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(d22_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v2_msualg_4(C, A, k8_osafree(A, B)) & m1_osalg_4(C, A, k8_osafree(A, B)))  =>  (C=k20_osafree(A, B) <=>  (! [D] :  (r2_tarski(D, u1_struct_0(A)) => k1_funct_1(C, D)=a_3_2_osafree(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t28_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k21_osafree(A, B, C)=a_3_3_osafree(A, B, C)) ) ) ) ) ) ).
fof(t30_osafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k23_osafree(A, B, C)=a_3_4_osafree(A, B, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_osafree, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v4_osalg_1(B) &  (v5_osalg_1(B) & l3_osalg_1(B)) ) ) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) )  & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_0_osafree(B, C, D)) <=>  (? [E] :  (m1_dtconstr(E, u1_struct_0(k2_osafree(B, C)), k5_trees_3(u1_struct_0(k2_osafree(B, C))), k4_dtconstr(k2_osafree(B, C))) &  (A=E &  ~ ( ( (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  ~ ( (r3_orders_2(B, F, D) &  (r2_hidden(G, k1_funct_1(C, F)) & E=k1_trees_4(k4_tarski(G, F))) ) ) ) ) )  &  (! [F] :  (m1_subset_1(F, u4_struct_0(B)) =>  ~ ( (k4_tarski(F, u1_struct_0(B))=k1_funct_1(E, k1_xboole_0) & r3_orders_2(B, k2_msualg_1(B, F), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_osafree, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v4_osalg_1(B) &  (v5_osalg_1(B) & l3_osalg_1(B)) ) ) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) )  & m1_subset_1(D, u1_struct_0(k2_osafree(B, C)))) )  =>  (r2_hidden(A, a_3_1_osafree(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k4_tarski(k2_trees_4(u1_struct_0(k2_osafree(B, C)), D), E) &  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (? [G] :  (r2_tarski(G, k1_funct_1(C, F)) &  (D=k4_tarski(G, F) & r3_orders_2(B, F, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_osafree, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v4_osalg_1(B) &  (v5_osalg_1(B) & l3_osalg_1(B)) ) ) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) )  &  (m1_subset_1(D, u1_struct_0(k2_osafree(B, C))) & m2_finseq_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(B, C)), u1_struct_0(B))))) ) )  =>  (r2_hidden(A, a_4_0_osafree(B, C, D, E)) <=>  (? [F, G, H] :  ( (m1_subset_1(F, u4_struct_0(B)) &  (m1_subset_1(G, k3_msualg_1(B, F, k8_osafree(B, C))) & m1_subset_1(H, u1_struct_0(B))) )  &  (A=k4_tarski(k3_funct_2(k3_msualg_1(B, F, k8_osafree(B, C)), k4_msualg_1(B, F, k8_osafree(B, C)), k5_msualg_1(B, F, k8_osafree(B, C)), G), H) &  ( (? [I] :  (m1_subset_1(I, u4_struct_0(B)) &  (D=k4_tarski(I, u1_struct_0(B)) &  (r1_osalg_1(B, I, F) &  (k3_finseq_1(k1_msualg_1(B, I))=k3_finseq_1(k1_msualg_1(B, F)) &  (r3_orders_2(B, k2_msualg_1(B, I), H) & r3_orders_2(B, k2_msualg_1(B, F), H)) ) ) ) ) )  &  (? [I] :  (m2_finseq_2(I, u1_struct_0(B), k3_finseq_2(u1_struct_0(B))) &  (k4_finseq_1(I)=k4_finseq_1(E) &  (! [J] :  (v7_ordinal1(J) =>  (r2_tarski(J, k4_finseq_1(E)) => r2_hidden(k4_tarski(k1_funct_1(G, J), k7_partfun1(u1_struct_0(B), I, J)), k1_funct_1(E, J))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_2_osafree, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v4_osalg_1(B) &  (v5_osalg_1(B) &  (v2_osalg_4(B) & l3_osalg_1(B)) ) ) ) )  &  (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) ) )  =>  (r2_hidden(A, a_3_2_osafree(B, C, D)) <=>  (? [E, F] :  ( (m1_dtconstr(E, u1_struct_0(k2_osafree(B, C)), k5_trees_3(u1_struct_0(k2_osafree(B, C))), k4_dtconstr(k2_osafree(B, C))) & m1_dtconstr(F, u1_struct_0(k2_osafree(B, C)), k5_trees_3(u1_struct_0(k2_osafree(B, C))), k4_dtconstr(k2_osafree(B, C))))  &  (A=k4_tarski(E, F) & r2_hidden(k4_tarski(E, D), k3_funct_2(k4_dtconstr(k2_osafree(B, C)), k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(B, C)), u1_struct_0(B))), k19_osafree(B, C), F))) ) ) ) ) ) ).
fof(fraenkel_a_3_3_osafree, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v4_osalg_1(B) &  (v5_osalg_1(B) &  (v2_osalg_4(B) & l3_osalg_1(B)) ) ) ) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) )  & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_3_osafree(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(k2_osafree(B, C))) &  (A=k2_trees_4(u1_struct_0(k2_osafree(B, C)), E) &  (r2_tarski(E, k6_dtconstr(k2_osafree(B, C))) & k2_xtuple_0(E)=D) ) ) ) ) ) ) ).
fof(fraenkel_a_3_4_osafree, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v4_osalg_1(B) &  (v5_osalg_1(B) &  (v2_osalg_4(B) & l3_osalg_1(B)) ) ) ) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) )  & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_4_osafree(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(k2_osafree(B, C))) &  (A=k1_funct_1(k1_msualg_3(u1_struct_0(B), u3_msualg_1(B, k8_osafree(B, C)), u3_msualg_1(B, k16_osalg_4(B, k8_osafree(B, C), k15_osafree(B, C))), k18_osalg_4(B, k8_osafree(B, C), k15_osafree(B, C)), D), k2_trees_4(u1_struct_0(k2_osafree(B, C)), E)) &  (r2_tarski(E, k6_dtconstr(k2_osafree(B, C))) & k2_xtuple_0(E)=D) ) ) ) ) ) ) ).
fof(fc1_osalg_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  & m1_finseq_1(C, A))  =>  (v1_relat_1(k3_relat_1(C, B)) & v1_finseq_1(k3_relat_1(C, B))) ) ) ).
fof(rc1_osalg_1, axiom,  (? [A] :  (l1_osalg_1(A) & v1_osalg_1(A)) ) ).
fof(rc2_osalg_1, axiom,  (? [A] :  (l2_osalg_1(A) & v2_osalg_1(A)) ) ).
fof(rc3_osalg_1, axiom,  (? [A] :  (l3_osalg_1(A) & v3_osalg_1(A)) ) ).
fof(fc2_osalg_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_2(B) &  (v4_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  &  ( ~ (v1_xboole_0(C))  &  ( (v3_relat_2(D) &  (v8_relat_2(D) &  (v1_partfun1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, C)))) ) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k3_finseq_2(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k3_finseq_2(A))))) )  &  (v1_funct_1(F) &  (v1_funct_2(F, C, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, A)))) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(g3_osalg_1(A, B, C, D, E, F)))  &  (v3_orders_2(g3_osalg_1(A, B, C, D, E, F)) &  (v4_orders_2(g3_osalg_1(A, B, C, D, E, F)) &  (v5_orders_2(g3_osalg_1(A, B, C, D, E, F)) & v3_osalg_1(g3_osalg_1(A, B, C, D, E, F))) ) ) ) ) ) ).
fof(cc1_osalg_1, axiom,  (! [A] :  (l3_osalg_1(A) =>  (v4_osalg_1(A) =>  (v3_orders_2(A) &  (v4_orders_2(A) & v5_orders_2(A)) ) ) ) ) ).
fof(rc4_osalg_1, axiom,  (? [A] :  (l3_osalg_1(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v3_osalg_1(A) & v4_osalg_1(A)) ) ) ) ) ).
fof(rc5_osalg_1, axiom,  (? [A] :  (l1_osalg_1(A) &  ( ~ (v2_struct_0(A))  &  ~ (v11_struct_0(A)) ) ) ) ).
fof(rc6_osalg_1, axiom,  (? [A] :  (l3_osalg_1(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v14_struct_0(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_orders_3(A) &  (v3_osalg_1(A) &  (v4_osalg_1(A) &  (v5_osalg_1(A) & v6_osalg_1(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc2_osalg_1, axiom,  (! [A] :  (l3_osalg_1(A) =>  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & v6_osalg_1(A)) )  =>  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & v5_osalg_1(A)) ) ) ) ) ).
fof(fc3_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  ( ~ (v2_struct_0(k1_osalg_1(A)))  &  ( ~ (v11_struct_0(k1_osalg_1(A)))  &  (v1_orders_3(k1_osalg_1(A)) &  (v3_osalg_1(k1_osalg_1(A)) &  (v4_osalg_1(k1_osalg_1(A)) & v6_osalg_1(k1_osalg_1(A))) ) ) ) ) ) ) ).
fof(rc7_osalg_1, axiom,  (? [A] :  (l3_osalg_1(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v14_struct_0(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v4_osalg_1(A) &  (v5_osalg_1(A) & v8_osalg_1(A)) ) ) ) ) ) ) ) ) ) ).
fof(rc8_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v8_osalg_1(A) & l3_osalg_1(A)) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, u4_struct_0(A)) & v7_osalg_1(B, A)) ) ) ) ).
fof(cc3_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v8_osalg_1(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) => v7_osalg_1(B, A)) ) ) ) ).
fof(cc4_osalg_1, axiom,  (! [A] :  (l3_osalg_1(A) =>  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & v6_osalg_1(A)) ) ) )  =>  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & v8_osalg_1(A)) ) ) ) ) ) ) ).
fof(rc9_osalg_1, axiom,  (? [A] :  (l3_osalg_1(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v14_struct_0(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v8_osalg_1(A) & v10_osalg_1(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(cc5_osalg_1, axiom,  (! [A] :  (l3_osalg_1(A) =>  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v6_osalg_1(A) & v8_osalg_1(A)) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v8_osalg_1(A) & v10_osalg_1(A)) ) ) ) ) ) ) ) ).
fof(cc6_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v8_osalg_1(A) &  (v10_osalg_1(A) & l3_osalg_1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) => v9_osalg_1(B, A)) ) ) ) ).
fof(rc10_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (? [B] :  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v11_osalg_1(B, A)) ) ) ) ) ) ) ) ).
fof(fc4_osalg_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  &  ~ (v1_xboole_0(B)) )  =>  (v1_relat_1(k3_osalg_1(A, B)) &  (v4_relat_1(k3_osalg_1(A, B), u1_struct_0(A)) &  (v1_funct_1(k3_osalg_1(A, B)) &  (v1_partfun1(k3_osalg_1(A, B), u1_struct_0(A)) & v11_osalg_1(k3_osalg_1(A, B), A)) ) ) ) ) ) ).
fof(rc11_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (? [B] :  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v11_osalg_1(B, A)) ) ) ) ) ) ) ) ) ).
fof(rc12_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (? [B] :  (l3_msualg_1(B, A) &  (v3_msualg_1(B, A) &  (v4_msualg_1(B, A) & v12_osalg_1(B, A)) ) ) ) ) ) ).
fof(fc5_osalg_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  ( ~ (v1_xboole_0(B))  & m2_pboole(C, u4_struct_0(A), k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k3_osalg_1(A, B))), k3_relat_1(u2_msualg_1(A), k3_osalg_1(A, B)))) )  =>  (v3_msualg_1(k4_osalg_1(A, B, C), A) &  (v4_msualg_1(k4_osalg_1(A, B, C), A) & v12_osalg_1(k4_osalg_1(A, B, C), A)) ) ) ) ).
fof(cc7_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_orders_3(A) &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  (l3_msualg_1(B, A) => v12_osalg_1(B, A)) ) ) ) ).
fof(rc13_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (? [B] :  (l3_msualg_1(B, A) &  (v3_msualg_1(B, A) &  (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & v13_osalg_1(B, A)) ) ) ) ) ) ) ).
fof(fc6_osalg_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(C, B)) )  =>  (v3_msualg_1(k6_osalg_1(A, B, C), A) &  (v4_msualg_1(k6_osalg_1(A, B, C), A) &  (v12_osalg_1(k6_osalg_1(A, B, C), A) & v13_osalg_1(k6_osalg_1(A, B, C), A)) ) ) ) ) ).
fof(cc8_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k7_osalg_1(A)) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(t1_osalg_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_relat_2(C) &  (v4_relat_2(C) &  (v8_relat_2(C) &  (v1_partfun1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  =>  (! [D] :  ( (v3_relat_2(D) &  (v8_relat_2(D) &  (v1_partfun1(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, k3_finseq_2(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k3_finseq_2(A))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, B, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  ( ~ (v2_struct_0(g3_osalg_1(A, C, B, D, E, F)))  &  ( ~ (v11_struct_0(g3_osalg_1(A, C, B, D, E, F)))  &  (v3_orders_2(g3_osalg_1(A, C, B, D, E, F)) &  (v4_orders_2(g3_osalg_1(A, C, B, D, E, F)) & v5_orders_2(g3_osalg_1(A, C, B, D, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_osalg_1, axiom,  (! [A] :  (l3_osalg_1(A) =>  (v4_osalg_1(A) <=>  (v3_orders_2(A) &  (v4_orders_2(A) & v5_orders_2(A)) ) ) ) ) ).
fof(d2_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_osalg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (r1_osalg_1(A, B, C) <=> r2_hidden(k4_tarski(B, C), u1_osalg_1(A))) ) ) ) ) ) ) ).
fof(t2_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_osalg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  ( (r1_osalg_1(A, B, C) & r1_osalg_1(A, C, D))  => r1_osalg_1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d3_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_osalg_1(A)) )  =>  (v5_osalg_1(A) <=>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  ( (r1_osalg_1(A, B, C) &  (k1_msualg_1(A, B)=k1_msualg_1(A, C) & k2_msualg_1(A, B)=k2_msualg_1(A, C)) )  => B=C) ) ) ) ) ) ) ) ).
fof(d4_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_osalg_1(A)) )  =>  (v6_osalg_1(A) <=> r2_relset_1(u4_struct_0(A), u4_struct_0(A), u1_osalg_1(A), k6_partfun1(u4_struct_0(A)))) ) ) ).
fof(t3_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_osalg_1(A)) )  =>  (v6_osalg_1(A) <=>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (r1_osalg_1(A, B, C) => B=C) ) ) ) ) ) ) ) ).
fof(t4_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_osalg_1(A)) )  =>  (v6_osalg_1(A) => v5_osalg_1(A)) ) ) ).
fof(d5_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v3_osalg_1(B) &  (v4_osalg_1(B) & l3_osalg_1(B)) ) ) )  =>  (B=k1_osalg_1(A) <=>  (u1_struct_0(A)=u1_struct_0(B) &  (k6_partfun1(u1_struct_0(A))=u1_orders_2(B) &  (u4_struct_0(A)=u4_struct_0(B) &  (k6_partfun1(u4_struct_0(A))=u1_osalg_1(B) &  (r1_funct_2(u4_struct_0(A), k3_finseq_2(u1_struct_0(A)), u4_struct_0(B), k3_finseq_2(u1_struct_0(B)), u1_msualg_1(A), u1_msualg_1(B)) & r1_funct_2(u4_struct_0(A), u1_struct_0(A), u4_struct_0(B), u1_struct_0(B), u2_msualg_1(A), u2_msualg_1(B))) ) ) ) ) ) ) ) ) ) ).
fof(t5_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (v1_orders_3(k1_osalg_1(A)) & v6_osalg_1(k1_osalg_1(A))) ) ) ).
fof(d6_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m2_finseq_2(B, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  (r2_osalg_1(A, B, C) <=>  (k3_finseq_1(B)=k3_finseq_1(C) &  (! [D] :  (r2_tarski(D, k4_finseq_1(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (E=k1_funct_1(B, D) & F=k1_funct_1(C, D))  => r3_orders_2(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m2_finseq_2(B, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  ( (r2_osalg_1(A, B, C) & r2_osalg_1(A, C, B))  => B=C) ) ) ) ) ) ) ).
fof(t7_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m2_finseq_2(B, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  ( (v1_orders_3(A) & r2_osalg_1(A, B, C))  => B=C) ) ) ) ) ) ) ).
fof(t8_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  ( (v1_orders_3(A) &  (r1_osalg_1(A, B, C) &  (r2_osalg_1(A, k1_msualg_1(A, B), k1_msualg_1(A, C)) & r3_orders_2(A, k2_msualg_1(A, B), k2_msualg_1(A, C))) ) )  => B=C) ) ) ) ) ) ) ).
fof(d7_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (v7_osalg_1(B, A) <=>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  ( (r1_osalg_1(A, B, C) & r2_osalg_1(A, k1_msualg_1(A, B), k1_msualg_1(A, C)))  => r3_orders_2(A, k2_msualg_1(A, B), k2_msualg_1(A, C))) ) ) ) ) ) ) ) ).
fof(d8_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (v8_osalg_1(A) <=>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) => v7_osalg_1(B, A)) ) ) ) ) ).
fof(t9_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (v6_osalg_1(A) => v8_osalg_1(A)) ) ) ).
fof(t10_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  ( (v8_osalg_1(A) &  (k1_msualg_1(A, B)=k1_xboole_0 &  (r1_osalg_1(A, B, C) & k1_msualg_1(A, C)=k1_xboole_0) ) )  => B=C) ) ) ) ) ) ) ).
fof(d9_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  (r3_osalg_1(A, B, C, D) <=>  (r1_osalg_1(A, B, C) &  (r2_osalg_1(A, D, k1_msualg_1(A, C)) &  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  ( (r1_osalg_1(A, B, E) & r2_osalg_1(A, D, k1_msualg_1(A, E)))  => r2_osalg_1(A, k1_msualg_1(A, C), k1_msualg_1(A, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  (r4_osalg_1(A, B, C, D) <=>  (r1_osalg_1(A, B, C) &  (r2_osalg_1(A, D, k1_msualg_1(A, C)) &  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  ( (r1_osalg_1(A, B, E) & r2_osalg_1(A, D, k1_msualg_1(A, E)))  => r3_orders_2(A, k2_msualg_1(A, C), k2_msualg_1(A, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  (r5_osalg_1(A, B, C, D) <=>  (r3_osalg_1(A, B, C, D) & r4_osalg_1(A, B, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(d12_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (v9_osalg_1(B, A) <=>  (v7_osalg_1(B, A) &  (! [C] :  (m2_finseq_2(C, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  ~ ( (r2_osalg_1(A, C, k1_msualg_1(A, B)) &  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  ~ (r3_osalg_1(A, B, D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v8_osalg_1(A) & l3_osalg_1(A)) ) ) ) )  =>  (v10_osalg_1(A) <=>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) => v9_osalg_1(B, A)) ) ) ) ) ).
fof(t11_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v8_osalg_1(A) & l3_osalg_1(A)) ) ) ) )  =>  (v10_osalg_1(A) <=>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  ~ ( (r2_osalg_1(A, C, k1_msualg_1(A, B)) &  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  ~ (r5_osalg_1(A, B, D, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v8_osalg_1(A) & l3_osalg_1(A)) ) ) ) )  =>  (v6_osalg_1(A) => v10_osalg_1(A)) ) ) ).
fof(t13_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v8_osalg_1(A) &  (v10_osalg_1(A) & l3_osalg_1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m2_finseq_2(E, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  ( (r3_osalg_1(A, B, C, E) & r3_osalg_1(A, B, D, E))  => C=D) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v8_osalg_1(A) &  (v10_osalg_1(A) & l3_osalg_1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  (r2_osalg_1(A, C, k1_msualg_1(A, B)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (D=k2_osalg_1(A, B, C) <=> r3_osalg_1(A, B, D, C)) ) ) ) ) ) ) ) ) ) ).
fof(t14_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v8_osalg_1(A) &  (v10_osalg_1(A) & l3_osalg_1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  (r2_osalg_1(A, C, k1_msualg_1(A, B)) => r5_osalg_1(A, B, k2_osalg_1(A, B, C), C)) ) ) ) ) ) ) ).
fof(d15_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  => k3_osalg_1(A, B)=k7_funcop_1(u1_struct_0(A), B)) ) ) ) ).
fof(t15_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (v2_relat_1(k3_osalg_1(A, B)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r3_orders_2(A, C, D) => r1_tarski(k1_funct_1(k3_osalg_1(A, B), C), k1_funct_1(k3_osalg_1(A, B), D))) ) ) ) ) ) ) ) ) ) ).
fof(d16_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (v11_osalg_1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r3_orders_2(A, C, D) => r1_tarski(k1_funct_1(B, C), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t16_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  => v11_osalg_1(k3_osalg_1(A, B), A)) ) ) ) ).
fof(d17_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (v12_osalg_1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r3_orders_2(A, C, D) => r1_tarski(k1_funct_1(u3_msualg_1(A, B), C), k1_funct_1(u3_msualg_1(A, B), D))) ) ) ) ) ) ) ) ) ) ).
fof(t17_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (v12_osalg_1(B, A) <=>  (v1_relat_1(u3_msualg_1(A, B)) &  (v4_relat_1(u3_msualg_1(A, B), u1_struct_0(A)) &  (v1_funct_1(u3_msualg_1(A, B)) &  (v1_partfun1(u3_msualg_1(A, B), u1_struct_0(A)) & v11_osalg_1(u3_msualg_1(A, B), A)) ) ) ) ) ) ) ) ) ).
fof(d18_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_pboole(C, u4_struct_0(A), k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k3_osalg_1(A, B))), k3_relat_1(u2_msualg_1(A), k3_osalg_1(A, B))) =>  (! [D] :  ( (v3_msualg_1(D, A) &  (v4_msualg_1(D, A) & l3_msualg_1(D, A)) )  =>  (D=k4_osalg_1(A, B, C) <=>  (r8_pboole(u1_struct_0(A), u3_msualg_1(A, D), k3_osalg_1(A, B)) & r8_pboole(u4_struct_0(A), u4_msualg_1(A, D), C)) ) ) ) ) ) ) ) ) ) ).
fof(t18_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_pboole(C, u4_struct_0(A), k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k3_osalg_1(A, B))), k3_relat_1(u2_msualg_1(A), k3_osalg_1(A, B))) => v12_osalg_1(k4_osalg_1(A, B, C), A)) ) ) ) ) ) ).
fof(t19_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_orders_3(A) &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  (l3_msualg_1(B, A) => v12_osalg_1(B, A)) ) ) ) ).
fof(t20_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  (m2_finseq_2(B, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  (! [D] :  ( (v12_osalg_1(D, A) & l3_msualg_1(D, A))  =>  (r2_osalg_1(A, B, C) => r1_tarski(k1_funct_1(k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, D)), B), k1_funct_1(k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, D)), C))) ) ) ) ) ) ) ) ) ).
fof(d19_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  ( (v3_msualg_1(C, k1_osalg_1(A)) &  (v12_osalg_1(C, k1_osalg_1(A)) & l3_msualg_1(C, k1_osalg_1(A))) )  =>  (C=k5_osalg_1(A, B) <=>  (u3_msualg_1(k1_osalg_1(A), C)=u3_msualg_1(A, B) & u4_msualg_1(k1_osalg_1(A), C)=u4_msualg_1(A, B)) ) ) ) ) ) ) ) ).
fof(t21_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  (m2_finseq_2(B, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  ( (r2_osalg_1(A, B, C) & r2_osalg_1(A, C, D))  => r2_osalg_1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d20_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (r6_osalg_1(A, B, C) <=>  (r1_osalg_1(A, B, C) &  (r2_osalg_1(A, k1_msualg_1(A, B), k1_msualg_1(A, C)) & r3_orders_2(A, k2_msualg_1(A, B), k2_msualg_1(A, C))) ) ) ) ) ) ) ) ) ).
fof(t22_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  ( (r6_osalg_1(A, B, C) & r6_osalg_1(A, C, B))  => B=C) ) ) ) ) ) ) ).
fof(t23_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  ( (r6_osalg_1(A, B, C) & r6_osalg_1(A, C, D))  => r6_osalg_1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t24_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  ( (v12_osalg_1(D, A) & l3_msualg_1(D, A))  =>  (r3_orders_2(A, k2_msualg_1(A, B), k2_msualg_1(A, C)) => r1_tarski(k4_msualg_1(A, B, D), k4_msualg_1(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t25_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  ( (v12_osalg_1(D, A) & l3_msualg_1(D, A))  =>  (r2_osalg_1(A, k1_msualg_1(A, B), k1_msualg_1(A, C)) => r1_tarski(k3_msualg_1(A, B, D), k3_msualg_1(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t26_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  ( (v12_osalg_1(D, A) & l3_msualg_1(D, A))  =>  (r6_osalg_1(A, B, C) =>  (r1_tarski(k3_msualg_1(A, B, D), k3_msualg_1(A, C, D)) & r1_tarski(k4_msualg_1(A, B, D), k4_msualg_1(A, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(d21_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (v13_osalg_1(B, A) <=>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (r6_osalg_1(A, C, D) => k2_partfun1(k3_msualg_1(A, D, B), k4_msualg_1(A, D, B), k5_msualg_1(A, D, B), k3_msualg_1(A, C, B))=k5_msualg_1(A, C, B)) ) ) ) ) ) ) ) ) ) ).
fof(t27_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (v13_osalg_1(B, A) <=>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (r6_osalg_1(A, C, D) => r1_relset_1(k3_msualg_1(A, C, B), k4_msualg_1(A, C, B), k5_msualg_1(A, C, B), k5_msualg_1(A, D, B))) ) ) ) ) ) ) ) ) ) ).
fof(t28_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  ( (v1_orders_3(A) | v6_osalg_1(A))  => v13_osalg_1(B, A)) ) ) ) ) ).
fof(d22_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v3_msualg_1(D, A) &  (v12_osalg_1(D, A) & l3_msualg_1(D, A)) )  =>  (D=k6_osalg_1(A, B, C) <=>  (r8_pboole(u1_struct_0(A), u3_msualg_1(A, D), k3_osalg_1(A, B)) &  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) => k5_msualg_1(A, E, D)=k8_funcop_1(B, k3_msualg_1(A, E, D), C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (v4_msualg_1(k6_osalg_1(A, B, C), A) & v13_osalg_1(k6_osalg_1(A, B, C), A)) ) ) ) ) ) ) ).
fof(d23_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  => k7_osalg_1(A)=k8_eqrel_1(u4_struct_0(A), u1_osalg_1(A))) ) ).
fof(d24_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) => k8_osalg_1(A, B)=k6_eqrel_1(u4_struct_0(A), u4_struct_0(A), u1_osalg_1(A), B)) ) ) ) ).
fof(t30_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (r1_osalg_1(A, B, C) <=> r2_tarski(C, k6_eqrel_1(u4_struct_0(A), u4_struct_0(A), u1_osalg_1(A), B))) ) ) ) ) ) ) ).
fof(t31_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (r1_osalg_1(A, B, C) <=> k8_osalg_1(A, B)=k8_osalg_1(A, C)) ) ) ) ) ) ) ).
fof(t32_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(u4_struct_0(A)), k7_osalg_1(A)) <=>  (? [C] :  (m1_subset_1(C, u4_struct_0(A)) & B=k8_osalg_1(A, C)) ) ) ) ) ) ).
fof(t33_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(u4_struct_0(A)), k7_osalg_1(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (m1_osalg_1(C, A, B) <=> k8_osalg_1(A, C)=B) ) ) ) ) ) ) ).
fof(t34_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v8_osalg_1(A) &  (v10_osalg_1(A) & l3_osalg_1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  ( (r1_osalg_1(A, B, C) &  (r2_osalg_1(A, D, k1_msualg_1(A, B)) & r2_osalg_1(A, D, k1_msualg_1(A, C))) )  => k2_osalg_1(A, B, D)=k2_osalg_1(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(d25_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v8_osalg_1(A) &  (v10_osalg_1(A) & l3_osalg_1(A)) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(u4_struct_0(A)), k7_osalg_1(A)) =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  ( (? [D] :  (m1_osalg_1(D, A, B) & r2_osalg_1(A, C, k1_msualg_1(A, D))) )  =>  (! [D] :  (m1_osalg_1(D, A, B) =>  (D=k9_osalg_1(A, B, C) <=>  (! [E] :  (m1_osalg_1(E, A, B) =>  (r2_osalg_1(A, C, k1_msualg_1(A, E)) => D=k2_osalg_1(A, E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v8_osalg_1(A) &  (v10_osalg_1(A) & l3_osalg_1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  (r2_osalg_1(A, C, k1_msualg_1(A, B)) => r6_osalg_1(A, k2_osalg_1(A, B, C), B)) ) ) ) ) ) ) ).
fof(abstractness_v1_osalg_1, axiom,  (! [A] :  (l1_osalg_1(A) =>  (v1_osalg_1(A) => A=g1_osalg_1(u1_struct_0(A), u4_struct_0(A), u1_osalg_1(A), u1_msualg_1(A), u2_msualg_1(A))) ) ) ).
fof(dt_l1_osalg_1, axiom,  (! [A] :  (l1_osalg_1(A) => l1_msualg_1(A)) ) ).
fof(existence_l1_osalg_1, axiom,  (? [A] : l1_osalg_1(A)) ).
fof(dt_g1_osalg_1, axiom,  (! [A, B, C, D, E] :  ( ( (v3_relat_2(C) &  (v8_relat_2(C) &  (v1_partfun1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k3_finseq_2(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k3_finseq_2(A))))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) )  =>  (v1_osalg_1(g1_osalg_1(A, B, C, D, E)) & l1_osalg_1(g1_osalg_1(A, B, C, D, E))) ) ) ).
fof(free_g1_osalg_1, axiom,  (! [A, B, C, D, E] :  ( ( (v3_relat_2(C) &  (v8_relat_2(C) &  (v1_partfun1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k3_finseq_2(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k3_finseq_2(A))))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) )  =>  (! [F, G, H, I, J] :  (g1_osalg_1(A, B, C, D, E)=g1_osalg_1(F, G, H, I, J) =>  (A=F &  (B=G &  (C=H &  (D=I & E=J) ) ) ) ) ) ) ) ).
fof(dt_u1_osalg_1, axiom,  (! [A] :  (l1_osalg_1(A) =>  (v3_relat_2(u1_osalg_1(A)) &  (v8_relat_2(u1_osalg_1(A)) &  (v1_partfun1(u1_osalg_1(A), u4_struct_0(A)) & m1_subset_1(u1_osalg_1(A), k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), u4_struct_0(A))))) ) ) ) ) ).
fof(abstractness_v2_osalg_1, axiom,  (! [A] :  (l2_osalg_1(A) =>  (v2_osalg_1(A) => A=g2_osalg_1(u1_struct_0(A), u1_orders_2(A), u4_struct_0(A), u1_msualg_1(A), u2_msualg_1(A))) ) ) ).
fof(dt_l2_osalg_1, axiom,  (! [A] :  (l2_osalg_1(A) =>  (l1_msualg_1(A) & l1_orders_2(A)) ) ) ).
fof(existence_l2_osalg_1, axiom,  (? [A] : l2_osalg_1(A)) ).
fof(dt_g2_osalg_1, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  ( (v1_funct_1(D) &  (v1_funct_2(D, C, k3_finseq_2(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k3_finseq_2(A))))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, C, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, A)))) ) ) )  =>  (v2_osalg_1(g2_osalg_1(A, B, C, D, E)) & l2_osalg_1(g2_osalg_1(A, B, C, D, E))) ) ) ).
fof(free_g2_osalg_1, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  ( (v1_funct_1(D) &  (v1_funct_2(D, C, k3_finseq_2(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k3_finseq_2(A))))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, C, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, A)))) ) ) )  =>  (! [F, G, H, I, J] :  (g2_osalg_1(A, B, C, D, E)=g2_osalg_1(F, G, H, I, J) =>  (A=F &  (B=G &  (C=H &  (D=I & E=J) ) ) ) ) ) ) ) ).
fof(abstractness_v3_osalg_1, axiom,  (! [A] :  (l3_osalg_1(A) =>  (v3_osalg_1(A) => A=g3_osalg_1(u1_struct_0(A), u1_orders_2(A), u4_struct_0(A), u1_osalg_1(A), u1_msualg_1(A), u2_msualg_1(A))) ) ) ).
fof(dt_l3_osalg_1, axiom,  (! [A] :  (l3_osalg_1(A) =>  (l1_osalg_1(A) & l2_osalg_1(A)) ) ) ).
fof(existence_l3_osalg_1, axiom,  (? [A] : l3_osalg_1(A)) ).
fof(dt_g3_osalg_1, axiom,  (! [A, B, C, D, E, F] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  ( (v3_relat_2(D) &  (v8_relat_2(D) &  (v1_partfun1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, C)))) ) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k3_finseq_2(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k3_finseq_2(A))))) )  &  (v1_funct_1(F) &  (v1_funct_2(F, C, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, A)))) ) ) ) )  =>  (v3_osalg_1(g3_osalg_1(A, B, C, D, E, F)) & l3_osalg_1(g3_osalg_1(A, B, C, D, E, F))) ) ) ).
fof(free_g3_osalg_1, axiom,  (! [A, B, C, D, E, F] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  ( (v3_relat_2(D) &  (v8_relat_2(D) &  (v1_partfun1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, C)))) ) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k3_finseq_2(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k3_finseq_2(A))))) )  &  (v1_funct_1(F) &  (v1_funct_2(F, C, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, A)))) ) ) ) )  =>  (! [G, H, I, J, K, L] :  (g3_osalg_1(A, B, C, D, E, F)=g3_osalg_1(G, H, I, J, K, L) =>  (A=G &  (B=H &  (C=I &  (D=J &  (E=K & F=L) ) ) ) ) ) ) ) ) ).
fof(symmetry_r1_osalg_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_osalg_1(A)) )  &  (m1_subset_1(B, u4_struct_0(A)) & m1_subset_1(C, u4_struct_0(A))) )  =>  (r1_osalg_1(A, B, C) => r1_osalg_1(A, C, B)) ) ) ).
fof(reflexivity_r1_osalg_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_osalg_1(A)) )  &  (m1_subset_1(B, u4_struct_0(A)) & m1_subset_1(C, u4_struct_0(A))) )  => r1_osalg_1(A, B, B)) ) ).
fof(dt_k1_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  ( ~ (v2_struct_0(k1_osalg_1(A)))  &  ( ~ (v11_struct_0(k1_osalg_1(A)))  &  (v3_osalg_1(k1_osalg_1(A)) &  (v4_osalg_1(k1_osalg_1(A)) & l3_osalg_1(k1_osalg_1(A))) ) ) ) ) ) ).
fof(reflexivity_r2_osalg_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  &  (m1_subset_1(B, k3_finseq_2(u1_struct_0(A))) & m1_subset_1(C, k3_finseq_2(u1_struct_0(A)))) )  => r2_osalg_1(A, B, B)) ) ).
fof(dt_k2_osalg_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v8_osalg_1(A) &  (v10_osalg_1(A) & l3_osalg_1(A)) ) ) ) ) )  &  (m1_subset_1(B, u4_struct_0(A)) & m1_subset_1(C, k3_finseq_2(u1_struct_0(A)))) )  => m1_subset_1(k2_osalg_1(A, B, C), u4_struct_0(A))) ) ).
fof(dt_k3_osalg_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  &  ~ (v1_xboole_0(B)) )  =>  (v1_relat_1(k3_osalg_1(A, B)) &  (v4_relat_1(k3_osalg_1(A, B), u1_struct_0(A)) &  (v1_funct_1(k3_osalg_1(A, B)) & v1_partfun1(k3_osalg_1(A, B), u1_struct_0(A))) ) ) ) ) ).
fof(dt_k4_osalg_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  ( ~ (v1_xboole_0(B))  & m2_pboole(C, u4_struct_0(A), k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k3_osalg_1(A, B))), k3_relat_1(u2_msualg_1(A), k3_osalg_1(A, B)))) )  =>  (v3_msualg_1(k4_osalg_1(A, B, C), A) &  (v4_msualg_1(k4_osalg_1(A, B, C), A) & l3_msualg_1(k4_osalg_1(A, B, C), A)) ) ) ) ).
fof(dt_k5_osalg_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  & l3_msualg_1(B, A))  =>  (v3_msualg_1(k5_osalg_1(A, B), k1_osalg_1(A)) &  (v12_osalg_1(k5_osalg_1(A, B), k1_osalg_1(A)) & l3_msualg_1(k5_osalg_1(A, B), k1_osalg_1(A))) ) ) ) ).
fof(reflexivity_r6_osalg_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (m1_subset_1(B, u4_struct_0(A)) & m1_subset_1(C, u4_struct_0(A))) )  => r6_osalg_1(A, B, B)) ) ).
fof(dt_k6_osalg_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(C, B)) )  =>  (v3_msualg_1(k6_osalg_1(A, B, C), A) &  (v12_osalg_1(k6_osalg_1(A, B, C), A) & l3_msualg_1(k6_osalg_1(A, B, C), A)) ) ) ) ).
fof(dt_k7_osalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  ( ~ (v1_xboole_0(k7_osalg_1(A)))  & m1_subset_1(k7_osalg_1(A), k1_zfmisc_1(k1_zfmisc_1(u4_struct_0(A))))) ) ) ).
fof(dt_k8_osalg_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  & m1_subset_1(B, u4_struct_0(A)))  => m2_subset_1(k8_osalg_1(A, B), k1_zfmisc_1(u4_struct_0(A)), k7_osalg_1(A))) ) ).
fof(dt_m1_osalg_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  & m1_subset_1(B, k7_osalg_1(A)))  =>  (! [C] :  (m1_osalg_1(C, A, B) => m1_subset_1(C, u4_struct_0(A))) ) ) ) ).
fof(existence_m1_osalg_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  & m1_subset_1(B, k7_osalg_1(A)))  =>  (? [C] : m1_osalg_1(C, A, B)) ) ) ).
fof(redefinition_m1_osalg_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  & m1_subset_1(B, k7_osalg_1(A)))  =>  (! [C] :  (m1_osalg_1(C, A, B) <=> m1_subset_1(C, B)) ) ) ) ).
fof(dt_k9_osalg_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v8_osalg_1(A) &  (v10_osalg_1(A) & l3_osalg_1(A)) ) ) ) ) )  &  (m1_subset_1(B, k7_osalg_1(A)) & m1_subset_1(C, k3_finseq_2(u1_struct_0(A)))) )  => m1_osalg_1(k9_osalg_1(A, B, C), A, B)) ) ).
fof(rc1_osalg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v11_osalg_1(B, A)) ) ) ) ) )  =>  (? [C] :  (m1_osalg_2(C, A, B) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) ) ) ) ) ) ) ).
fof(rc2_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (? [B] :  (l3_msualg_1(B, A) &  (v3_msualg_1(B, A) &  (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & v13_osalg_1(B, A)) ) ) ) ) ) ) ).
fof(rc3_osalg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) ) )  =>  (? [C] :  (m2_osalg_2(C, A, B) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) ) ) ) ) ) ) ).
fof(rc4_osalg_2, axiom,  (? [A] :  (l3_osalg_1(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v14_struct_0(A) &  (v2_msualg_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v3_osalg_1(A) &  (v4_osalg_1(A) & v5_osalg_1(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc5_osalg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (? [C] :  (m1_msualg_2(C, A, B) & v12_osalg_1(C, A)) ) ) ) ).
fof(rc6_osalg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (? [C] :  (m1_msualg_2(C, A, B) &  (v3_msualg_1(C, A) & v12_osalg_1(C, A)) ) ) ) ) ).
fof(rc7_osalg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) ) )  =>  (? [C] :  (m1_msualg_2(C, A, B) &  (v3_msualg_1(C, A) &  (v4_msualg_1(C, A) & v12_osalg_1(C, A)) ) ) ) ) ) ).
fof(fc1_osalg_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  & m2_osalg_2(C, A, B)) )  =>  ~ (v1_xboole_0(k5_osalg_2(A, B, C))) ) ) ).
fof(fc2_osalg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  ~ (v1_xboole_0(k6_osalg_2(A, B))) ) ) ).
fof(fc3_osalg_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  &  (m2_osalg_2(C, A, B) & m1_subset_1(D, u1_struct_0(A))) ) )  =>  ~ (v1_xboole_0(k8_osalg_2(A, B, C, D))) ) ) ).
fof(rc8_osalg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (? [C] :  (m2_osalg_2(C, A, B) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) & v3_msualg_2(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(fc4_osalg_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  & m2_osalg_2(C, A, B)) )  => v3_msualg_2(k9_osalg_2(A, B, C), A, B)) ) ).
fof(fc5_osalg_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  &  (v3_msualg_2(C, A, B) & m2_osalg_2(C, A, B)) ) )  =>  (v3_msualg_1(k10_msualg_2(A, B, C), A) & v12_osalg_1(k10_msualg_2(A, B, C), A)) ) ) ).
fof(fc6_osalg_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  &  ( (v12_osalg_1(C, A) & m1_msualg_2(C, A, B))  &  (v12_osalg_1(D, A) & m1_msualg_2(D, A, B)) ) ) )  =>  (v3_msualg_1(k11_msualg_2(A, B, C, D), A) & v12_osalg_1(k11_msualg_2(A, B, C, D), A)) ) ) ).
fof(fc7_osalg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  ~ (v1_xboole_0(k12_osalg_2(A, B))) ) ) ).
fof(fc8_osalg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) ) )  =>  ( ~ (v2_struct_0(k16_osalg_2(A, B)))  &  (v3_lattices(k16_osalg_2(A, B)) &  (v10_lattices(k16_osalg_2(A, B)) & v15_lattices(k16_osalg_2(A, B))) ) ) ) ) ).
fof(t1_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v11_osalg_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) & v11_osalg_1(C, A)) ) ) )  =>  (v1_relat_1(k3_pboole(u1_struct_0(A), B, C)) &  (v4_relat_1(k3_pboole(u1_struct_0(A), B, C), u1_struct_0(A)) &  (v1_funct_1(k3_pboole(u1_struct_0(A), B, C)) &  (v1_partfun1(k3_pboole(u1_struct_0(A), B, C), u1_struct_0(A)) & v11_osalg_1(k3_pboole(u1_struct_0(A), B, C), A)) ) ) ) ) ) ) ) ) ) ).
fof(t2_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v11_osalg_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) & v11_osalg_1(C, A)) ) ) )  =>  (v1_relat_1(k2_pboole(u1_struct_0(A), B, C)) &  (v4_relat_1(k2_pboole(u1_struct_0(A), B, C), u1_struct_0(A)) &  (v1_funct_1(k2_pboole(u1_struct_0(A), B, C)) &  (v1_partfun1(k2_pboole(u1_struct_0(A), B, C), u1_struct_0(A)) & v11_osalg_1(k2_pboole(u1_struct_0(A), B, C), A)) ) ) ) ) ) ) ) ) ) ).
fof(d1_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v11_osalg_1(B, A)) ) ) )  =>  (! [C] :  (m3_pboole(C, u1_struct_0(A), B) =>  (m1_osalg_2(C, A, B) <=>  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) & v11_osalg_1(C, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B)) =>  (m2_osalg_2(C, A, B) <=>  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) & v11_osalg_1(C, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_msualg_1(A) &  (v2_msualg_2(A) & l1_msualg_1(A)) ) ) )  => v2_msualg_2(k1_osalg_1(A))) ) ).
fof(t4_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  => v12_osalg_1(g3_msualg_1(A, u3_msualg_1(A, B), u4_msualg_1(A, B)), A)) ) ) ) ).
fof(t5_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (l3_msualg_1(C, A) =>  ( (v12_osalg_1(C, A) & m1_msualg_2(C, A, B))  <=>  (m2_osalg_2(u3_msualg_1(A, C), A, B) &  (! [D] :  (m2_osalg_2(D, A, B) =>  (r8_pboole(u1_struct_0(A), D, u3_msualg_1(A, C)) =>  (v3_msualg_2(D, A, B) & r8_pboole(u4_struct_0(A), u4_msualg_1(A, C), k4_msualg_2(A, B, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_tarski(k1_msualg_2(A, B, C), k1_osalg_2(A, B, C))) ) ) ) ) ) ).
fof(t7_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  => r2_pboole(u1_struct_0(A), B, k2_osalg_2(A, B))) ) ) ) ).
fof(t8_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) & v11_osalg_1(C, A)) ) ) )  =>  (r2_pboole(u1_struct_0(A), B, C) => r2_pboole(u1_struct_0(A), k2_osalg_2(A, B), C)) ) ) ) ) ) ) ).
fof(t9_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v11_osalg_1(B, A)) ) ) )  => r8_pboole(u1_struct_0(A), k2_osalg_2(A, B), B)) ) ) ) ).
fof(d5_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m2_osalg_2(C, A, B) =>  (C=k3_osalg_2(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_funct_1(C, D)=k1_osalg_2(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t10_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  => r2_pboole(u1_struct_0(A), k2_msualg_2(A, B), k3_osalg_2(A, B))) ) ) ) ).
fof(t11_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m2_osalg_2(C, A, B) =>  (r2_pboole(u1_struct_0(A), k2_msualg_2(A, B), C) => r2_pboole(u1_struct_0(A), k3_osalg_2(A, B), C)) ) ) ) ) ) ) ).
fof(t12_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m2_osalg_2(C, A, B) => r8_pboole(u1_struct_0(A), k3_osalg_2(A, B), k2_osalg_2(A, k2_msualg_2(A, B)))) ) ) ) ) ) ).
fof(t13_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v12_osalg_1(C, A) & m1_msualg_2(C, A, B))  => m2_osalg_2(k3_osalg_2(A, B), A, C)) ) ) ) ) ) ).
fof(t14_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_msualg_2(A) &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v12_osalg_1(C, A) & m1_msualg_2(C, A, B)) )  =>  (v2_relat_1(k3_osalg_2(A, B)) & m2_osalg_2(k3_osalg_2(A, B), A, C)) ) ) ) ) ) ) ).
fof(t15_osalg_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m3_pboole(C, A, B) <=> r2_tarski(C, k4_card_3(k1_mboolean(A, B)))) ) ) ) ) ).
fof(d6_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v11_osalg_1(B, A)) ) ) )  =>  (! [C] :  (C=k4_osalg_2(A, B) <=>  (! [D] :  (r2_tarski(D, C) <=> m1_osalg_2(D, A, B)) ) ) ) ) ) ) ) ).
fof(t16_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m2_osalg_2(C, A, B) => r1_tarski(k5_osalg_2(A, B, C), k5_msualg_2(A, B, C))) ) ) ) ) ) ).
fof(t17_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m2_osalg_2(C, A, B) => r2_tarski(u3_msualg_1(A, B), k5_osalg_2(A, B, C))) ) ) ) ) ) ).
fof(t18_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m2_osalg_2(C, A, B) => r1_tarski(k5_osalg_2(A, B, C), k6_osalg_2(A, B))) ) ) ) ) ) ).
fof(d9_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k6_osalg_2(A, B)) => k7_osalg_2(A, B, C)=C) ) ) ) ) ) ).
fof(t19_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m2_osalg_2(C, A, B) =>  (! [D] :  (m2_osalg_2(D, A, B) =>  (r2_tarski(D, k5_osalg_2(A, B, C)) <=>  (v3_msualg_2(D, A, B) &  (r2_pboole(u1_struct_0(A), k3_osalg_2(A, B), D) & r2_pboole(u1_struct_0(A), C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m2_osalg_2(C, A, B) =>  (r2_tarski(C, k6_osalg_2(A, B)) <=> v3_msualg_2(C, A, B)) ) ) ) ) ) ) ).
fof(d10_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m2_osalg_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (E=k8_osalg_2(A, B, C, D) <=>  (! [F] :  (r2_hidden(F, E) <=>  (? [G] :  (m2_osalg_2(G, A, B) &  (r2_tarski(G, k5_osalg_2(A, B, C)) & F=k1_funct_1(G, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m2_osalg_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r3_orders_2(A, D, E) => r2_setfam_1(k8_osalg_2(A, B, C, D), k8_osalg_2(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m2_osalg_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_tarski(k8_osalg_2(A, B, C, D), k8_msualg_2(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t23_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m2_osalg_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r2_tarski(k1_funct_1(u3_msualg_1(A, B), D), k8_osalg_2(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(d11_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m2_osalg_2(C, A, B) =>  (! [D] :  (m2_osalg_2(D, A, B) =>  (D=k9_osalg_2(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k1_funct_1(D, E)=k1_setfam_1(k8_osalg_2(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m2_osalg_2(C, A, B) => r2_pboole(u1_struct_0(A), k2_pboole(u1_struct_0(A), k3_osalg_2(A, B), C), k9_osalg_2(A, B, C))) ) ) ) ) ) ).
fof(t25_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m2_osalg_2(C, A, B) =>  (v2_relat_1(k2_pboole(u1_struct_0(A), k3_osalg_2(A, B), C)) => v2_relat_1(k9_osalg_2(A, B, C))) ) ) ) ) ) ) ).
fof(t26_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m2_osalg_2(D, A, B) =>  (! [E] :  (m2_osalg_2(E, A, B) =>  (r2_tarski(E, k5_osalg_2(A, B, D)) => r1_tarski(k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k9_osalg_2(A, B, D))), C), k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), E)), C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m2_osalg_2(D, A, B) =>  (! [E] :  (m2_osalg_2(E, A, B) =>  (r2_tarski(E, k5_osalg_2(A, B, D)) => r1_tarski(k10_xtuple_0(k5_relat_1(k5_msualg_1(A, C, B), k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k9_osalg_2(A, B, D))), C))), k1_funct_1(k3_relat_1(u2_msualg_1(A), E), C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m2_osalg_2(D, A, B) => r1_tarski(k10_xtuple_0(k5_relat_1(k5_msualg_1(A, C, B), k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k9_osalg_2(A, B, D))), C))), k1_funct_1(k3_relat_1(u2_msualg_1(A), k9_osalg_2(A, B, D)), C))) ) ) ) ) ) ) ) ).
fof(t29_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m2_osalg_2(C, A, B) =>  (v3_msualg_2(k9_osalg_2(A, B, C), A, B) & r2_pboole(u1_struct_0(A), C, k9_osalg_2(A, B, C))) ) ) ) ) ) ) ).
fof(d12_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m2_osalg_2(C, A, B) =>  (! [D] :  ( (v3_msualg_1(D, A) &  (v12_osalg_1(D, A) & m1_msualg_2(D, A, B)) )  =>  (D=k10_osalg_2(A, B, C) <=>  (m2_osalg_2(C, A, D) &  (! [E] :  ( (v12_osalg_1(E, A) & m1_msualg_2(E, A, B))  =>  (m2_osalg_2(C, A, E) =>  (v12_osalg_1(D, A) & m1_msualg_2(D, A, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m2_osalg_2(C, A, B) =>  (k10_osalg_2(A, B, C)=k10_msualg_2(A, B, k9_osalg_2(A, B, C)) & r8_pboole(u1_struct_0(A), u3_msualg_1(A, k10_osalg_2(A, B, C)), k9_osalg_2(A, B, C))) ) ) ) ) ) ) ).
fof(t31_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B)) =>  (k12_msualg_2(A, B, C)=k10_msualg_2(A, B, k9_msualg_2(A, B, C)) & r8_pboole(u1_struct_0(A), u3_msualg_1(A, k12_msualg_2(A, B, C)), k9_msualg_2(A, B, C))) ) ) ) ) ) ) ).
fof(t32_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m2_osalg_2(C, A, B) => r2_pboole(u1_struct_0(A), u3_msualg_1(A, k12_msualg_2(A, B, C)), u3_msualg_1(A, k10_osalg_2(A, B, C)))) ) ) ) ) ) ).
fof(t33_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m2_osalg_2(C, A, B) => m1_msualg_2(k12_msualg_2(A, B, C), A, k10_osalg_2(A, B, C))) ) ) ) ) ) ).
fof(t34_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v3_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m2_osalg_2(C, A, B) =>  (r8_pboole(u1_struct_0(A), C, u3_msualg_1(A, B)) => k10_osalg_2(A, B, C)=B) ) ) ) ) ) ) ).
fof(t35_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v3_msualg_1(C, A) &  (v12_osalg_1(C, A) & m1_msualg_2(C, A, B)) )  =>  (! [D] :  (m2_osalg_2(D, A, B) =>  (r8_pboole(u1_struct_0(A), D, u3_msualg_1(A, C)) => k10_osalg_2(A, B, D)=C) ) ) ) ) ) ) ) ) ).
fof(t36_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v12_osalg_1(C, A) & m1_msualg_2(C, A, B))  => k11_msualg_2(A, B, k10_osalg_2(A, B, k3_osalg_2(A, B)), C)=k10_osalg_2(A, B, k3_osalg_2(A, B))) ) ) ) ) ) ).
fof(d13_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v12_osalg_1(C, A) & m1_msualg_2(C, A, B))  =>  (! [D] :  ( (v12_osalg_1(D, A) & m1_msualg_2(D, A, B))  =>  (! [E] :  ( (v3_msualg_1(E, A) &  (v12_osalg_1(E, A) & m1_msualg_2(E, A, B)) )  =>  (E=k11_osalg_2(A, B, C, D) <=>  (! [F] :  (m2_osalg_2(F, A, B) =>  (r8_pboole(u1_struct_0(A), F, k2_pboole(u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D))) => E=k10_osalg_2(A, B, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v12_osalg_1(C, A) & m1_msualg_2(C, A, B))  =>  (! [D] :  (m2_osalg_2(D, A, B) =>  (! [E] :  (m2_osalg_2(E, A, B) =>  (r8_pboole(u1_struct_0(A), E, k2_pboole(u1_struct_0(A), D, u3_msualg_1(A, C))) => k11_osalg_2(A, B, k10_osalg_2(A, B, D), C)=k10_osalg_2(A, B, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v12_osalg_1(C, A) & m1_msualg_2(C, A, B))  =>  (! [D] :  (m2_osalg_2(D, A, B) =>  (r8_pboole(u1_struct_0(A), D, u3_msualg_1(A, B)) => k11_osalg_2(A, B, k10_osalg_2(A, B, D), C)=k10_osalg_2(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t39_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v12_osalg_1(C, A) & m1_msualg_2(C, A, B))  =>  (! [D] :  ( (v12_osalg_1(D, A) & m1_msualg_2(D, A, B))  => k11_osalg_2(A, B, C, D)=k11_osalg_2(A, B, D, C)) ) ) ) ) ) ) ) ).
fof(t40_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v3_msualg_1(C, A) &  (v12_osalg_1(C, A) & m1_msualg_2(C, A, B)) )  =>  (! [D] :  ( (v3_msualg_1(D, A) &  (v12_osalg_1(D, A) & m1_msualg_2(D, A, B)) )  => k11_msualg_2(A, B, C, k11_osalg_2(A, B, C, D))=C) ) ) ) ) ) ) ) ).
fof(t41_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v3_msualg_1(C, A) &  (v12_osalg_1(C, A) & m1_msualg_2(C, A, B)) )  =>  (! [D] :  ( (v3_msualg_1(D, A) &  (v12_osalg_1(D, A) & m1_msualg_2(D, A, B)) )  => k11_osalg_2(A, B, k11_msualg_2(A, B, C, D), D)=D) ) ) ) ) ) ) ) ).
fof(d14_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (C=k12_osalg_2(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (v3_msualg_1(D, A) &  (v12_osalg_1(D, A) & m1_msualg_2(D, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t42_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  => r1_tarski(k12_osalg_2(A, B), k14_msualg_2(A, B))) ) ) ) ).
fof(d15_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k13_osalg_2(A, B), k13_osalg_2(A, B)), k13_osalg_2(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k13_osalg_2(A, B), k13_osalg_2(A, B)), k13_osalg_2(A, B))))) )  =>  (C=k14_osalg_2(A, B) <=>  (! [D] :  (m2_subset_1(D, k14_msualg_2(A, B), k13_osalg_2(A, B)) =>  (! [E] :  (m2_subset_1(E, k14_msualg_2(A, B), k13_osalg_2(A, B)) =>  (! [F] :  ( (v3_msualg_1(F, A) &  (v12_osalg_1(F, A) & m1_msualg_2(F, A, B)) )  =>  (! [G] :  ( (v3_msualg_1(G, A) &  (v12_osalg_1(G, A) & m1_msualg_2(G, A, B)) )  =>  ( (D=F & E=G)  => k4_binop_1(k13_osalg_2(A, B), C, D, E)=k11_osalg_2(A, B, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k13_osalg_2(A, B), k13_osalg_2(A, B)), k13_osalg_2(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k13_osalg_2(A, B), k13_osalg_2(A, B)), k13_osalg_2(A, B))))) )  =>  (C=k15_osalg_2(A, B) <=>  (! [D] :  (m2_subset_1(D, k14_msualg_2(A, B), k13_osalg_2(A, B)) =>  (! [E] :  (m2_subset_1(E, k14_msualg_2(A, B), k13_osalg_2(A, B)) =>  (! [F] :  ( (v3_msualg_1(F, A) &  (v12_osalg_1(F, A) & m1_msualg_2(F, A, B)) )  =>  (! [G] :  ( (v3_msualg_1(G, A) &  (v12_osalg_1(G, A) & m1_msualg_2(G, A, B)) )  =>  ( (D=F & E=G)  => k4_binop_1(k13_osalg_2(A, B), C, D, E)=k11_msualg_2(A, B, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m2_subset_1(C, k14_msualg_2(A, B), k13_osalg_2(A, B)) =>  (! [D] :  (m2_subset_1(D, k14_msualg_2(A, B), k13_osalg_2(A, B)) => k4_binop_1(k13_osalg_2(A, B), k15_osalg_2(A, B), C, D)=k4_binop_1(k14_msualg_2(A, B), k16_msualg_2(A, B), C, D)) ) ) ) ) ) ) ) ).
fof(t44_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  => v1_binop_1(k14_osalg_2(A, B), k13_osalg_2(A, B))) ) ) ) ).
fof(t45_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  => v2_binop_1(k14_osalg_2(A, B), k13_osalg_2(A, B))) ) ) ) ).
fof(t46_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  => v1_binop_1(k15_osalg_2(A, B), k13_osalg_2(A, B))) ) ) ) ).
fof(t47_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  => v2_binop_1(k15_osalg_2(A, B), k13_osalg_2(A, B))) ) ) ) ).
fof(d17_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  => k16_osalg_2(A, B)=g3_lattices(k13_osalg_2(A, B), k14_osalg_2(A, B), k15_osalg_2(A, B))) ) ) ) ).
fof(t48_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  => v15_lattices(k16_osalg_2(A, B))) ) ) ) ).
fof(t49_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  => k5_lattices(k16_osalg_2(A, B))=k10_osalg_2(A, B, k3_osalg_2(A, B))) ) ) ) ).
fof(t50_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m2_osalg_2(C, A, B) =>  (r8_pboole(u1_struct_0(A), C, u3_msualg_1(A, B)) => k6_lattices(k16_osalg_2(A, B))=k10_osalg_2(A, B, C)) ) ) ) ) ) ) ).
fof(t51_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v3_msualg_1(B, A) &  (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) ) )  => k6_lattices(k16_osalg_2(A, B))=B) ) ) ) ).
fof(dt_m1_osalg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v11_osalg_1(B, A)) ) ) ) )  =>  (! [C] :  (m1_osalg_2(C, A, B) => m3_pboole(C, u1_struct_0(A), B)) ) ) ) ).
fof(existence_m1_osalg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v11_osalg_1(B, A)) ) ) ) )  =>  (? [C] : m1_osalg_2(C, A, B)) ) ) ).
fof(dt_m2_osalg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m2_osalg_2(C, A, B) => m3_pboole(C, u1_struct_0(A), u3_msualg_1(A, B))) ) ) ) ).
fof(existence_m2_osalg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (? [C] : m2_osalg_2(C, A, B)) ) ) ).
fof(dt_k1_osalg_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k1_osalg_2(A, B, C), k1_zfmisc_1(k1_funct_1(u3_msualg_1(A, B), C)))) ) ).
fof(dt_k2_osalg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (v1_relat_1(k2_osalg_2(A, B)) &  (v4_relat_1(k2_osalg_2(A, B), u1_struct_0(A)) &  (v1_funct_1(k2_osalg_2(A, B)) &  (v1_partfun1(k2_osalg_2(A, B), u1_struct_0(A)) & v11_osalg_1(k2_osalg_2(A, B), A)) ) ) ) ) ) ).
fof(dt_k3_osalg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  => m2_osalg_2(k3_osalg_2(A, B), A, B)) ) ).
fof(dt_k7_osalg_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  & m1_subset_1(C, k6_osalg_2(A, B))) )  => m2_osalg_2(k7_osalg_2(A, B, C), A, B)) ) ).
fof(dt_k9_osalg_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  & m2_osalg_2(C, A, B)) )  => m2_osalg_2(k9_osalg_2(A, B, C), A, B)) ) ).
fof(dt_k10_osalg_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  & m2_osalg_2(C, A, B)) )  =>  (v3_msualg_1(k10_osalg_2(A, B, C), A) &  (v12_osalg_1(k10_osalg_2(A, B, C), A) & m1_msualg_2(k10_osalg_2(A, B, C), A, B)) ) ) ) ).
fof(dt_k11_osalg_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  &  ( (v12_osalg_1(C, A) & m1_msualg_2(C, A, B))  &  (v12_osalg_1(D, A) & m1_msualg_2(D, A, B)) ) ) )  =>  (v3_msualg_1(k11_osalg_2(A, B, C, D), A) &  (v12_osalg_1(k11_osalg_2(A, B, C, D), A) & m1_msualg_2(k11_osalg_2(A, B, C, D), A, B)) ) ) ) ).
fof(dt_k13_osalg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  => m1_subset_1(k13_osalg_2(A, B), k1_zfmisc_1(k14_msualg_2(A, B)))) ) ).
fof(redefinition_k13_osalg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  => k13_osalg_2(A, B)=k12_osalg_2(A, B)) ) ).
fof(dt_k14_osalg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) ) )  =>  (v1_funct_1(k14_osalg_2(A, B)) &  (v1_funct_2(k14_osalg_2(A, B), k2_zfmisc_1(k13_osalg_2(A, B), k13_osalg_2(A, B)), k13_osalg_2(A, B)) & m1_subset_1(k14_osalg_2(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k13_osalg_2(A, B), k13_osalg_2(A, B)), k13_osalg_2(A, B))))) ) ) ) ).
fof(dt_k15_osalg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) ) )  =>  (v1_funct_1(k15_osalg_2(A, B)) &  (v1_funct_2(k15_osalg_2(A, B), k2_zfmisc_1(k13_osalg_2(A, B), k13_osalg_2(A, B)), k13_osalg_2(A, B)) & m1_subset_1(k15_osalg_2(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k13_osalg_2(A, B), k13_osalg_2(A, B)), k13_osalg_2(A, B))))) ) ) ) ).
fof(dt_k16_osalg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) ) )  =>  ( ~ (v2_struct_0(k16_osalg_2(A, B)))  &  (v3_lattices(k16_osalg_2(A, B)) &  (v10_lattices(k16_osalg_2(A, B)) & l3_lattices(k16_osalg_2(A, B))) ) ) ) ) ).
fof(d3_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_osalg_2(A, B, C)=k3_tarski(a_3_0_osalg_2(A, B, C))) ) ) ) ) ) ).
fof(d4_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) & v11_osalg_1(C, A)) ) ) )  =>  (C=k2_osalg_2(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_funct_1(C, D)=k3_tarski(a_3_1_osalg_2(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(d7_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m2_osalg_2(C, A, B) => k5_osalg_2(A, B, C)=a_3_2_osalg_2(A, B, C)) ) ) ) ) ) ).
fof(d8_osalg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  => k6_osalg_2(A, B)=a_2_0_osalg_2(A, B)) ) ) ) ).
fof(fraenkel_a_3_0_osalg_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v4_osalg_1(B) &  (v5_osalg_1(B) & l3_osalg_1(B)) ) ) )  &  ( (v12_osalg_1(C, B) & l3_msualg_1(C, B))  & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_0_osalg_2(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k1_msualg_2(B, C, E) & r3_orders_2(B, E, D)) ) ) ) ) ) ).
fof(fraenkel_a_3_1_osalg_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v4_osalg_1(B) &  (v5_osalg_1(B) & l3_osalg_1(B)) ) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) )  & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_1_osalg_2(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k1_funct_1(C, E) & r3_orders_2(B, E, D)) ) ) ) ) ) ).
fof(fraenkel_a_3_2_osalg_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v4_osalg_1(B) &  (v5_osalg_1(B) & l3_osalg_1(B)) ) ) )  &  ( (v12_osalg_1(C, B) & l3_msualg_1(C, B))  & m2_osalg_2(D, B, C)) )  =>  (r2_hidden(A, a_3_2_osalg_2(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k5_msualg_2(B, C, D)) &  (A=E &  (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(B)) &  (v1_funct_1(E) &  (v1_partfun1(E, u1_struct_0(B)) & v11_osalg_1(E, B)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_osalg_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v4_osalg_1(B) &  (v5_osalg_1(B) & l3_osalg_1(B)) ) ) )  &  (v12_osalg_1(C, B) & l3_msualg_1(C, B)) )  =>  (r2_hidden(A, a_2_0_osalg_2(B, C)) <=>  (? [D] :  (m1_subset_1(D, k6_msualg_2(B, C)) &  (A=D &  (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v1_partfun1(D, u1_struct_0(B)) & v11_osalg_1(D, B)) ) ) ) ) ) ) ) ) ) ).
fof(fc1_osalg_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v11_osalg_1(B, A)) ) ) ) )  => v1_osalg_3(k2_msualg_3(u1_struct_0(A), B), A)) ) ).
fof(rc1_osalg_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (v12_osalg_1(B, A) &  (v13_osalg_1(B, A) & l3_msualg_1(B, A)) ) )  =>  (? [C] :  (m1_msualg_2(C, A, B) &  (v12_osalg_1(C, A) & v13_osalg_1(C, A)) ) ) ) ) ).
fof(cc1_osalg_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (v12_osalg_1(B, A) &  (v13_osalg_1(B, A) & l3_msualg_1(B, A)) ) )  =>  (! [C] :  (m1_msualg_2(C, A, B) =>  (v12_osalg_1(C, A) =>  (v12_osalg_1(C, A) & v13_osalg_1(C, A)) ) ) ) ) ) ).
fof(fc2_osalg_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (v3_msualg_1(g3_msualg_1(A, u3_msualg_1(A, B), u4_msualg_1(A, B)), A) & v12_osalg_1(g3_msualg_1(A, u3_msualg_1(A, B), u4_msualg_1(A, B)), A)) ) ) ).
fof(d1_osalg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v1_funcop_1(B)) ) ) )  =>  (v1_osalg_3(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r3_orders_2(A, C, D) =>  (! [E] :  (r2_tarski(E, k9_xtuple_0(k1_funct_1(B, C))) =>  (r2_tarski(E, k9_xtuple_0(k1_funct_1(B, D))) & k1_funct_1(k1_funct_1(B, C), E)=k1_funct_1(k1_funct_1(B, D), E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_osalg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v1_funcop_1(B)) ) ) )  =>  (v1_osalg_3(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r3_orders_2(A, C, D) =>  (r1_tarski(k9_xtuple_0(k1_funct_1(B, C)), k9_xtuple_0(k1_funct_1(B, D))) & r1_tarski(k1_funct_1(B, C), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_osalg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v11_osalg_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) & v11_osalg_1(C, A)) ) ) ) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), B, C) =>  (v1_osalg_3(D, A) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r3_orders_2(A, E, F) =>  (! [G] :  (r2_tarski(G, k1_funct_1(B, E)) => k1_funct_1(k1_msualg_3(u1_struct_0(A), B, C, D, E), G)=k1_funct_1(k1_msualg_3(u1_struct_0(A), B, C, D, F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_osalg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v1_funcop_1(B)) ) ) )  =>  (v1_osalg_3(B, A) =>  (! [C] :  (m2_finseq_2(C, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  (! [D] :  (m2_finseq_2(D, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  (r2_osalg_1(A, C, D) => r1_tarski(k1_funct_1(k6_finseq_2(u1_struct_0(A), B), C), k1_funct_1(k6_finseq_2(u1_struct_0(A), B), D))) ) ) ) ) ) ) ) ) ) ).
fof(t4_osalg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v11_osalg_1(B, A)) ) ) )  => v1_osalg_3(k2_msualg_3(u1_struct_0(A), B), A)) ) ) ) ).
fof(t5_osalg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v11_osalg_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) & v11_osalg_1(C, A)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) &  (v1_partfun1(D, u1_struct_0(A)) & v11_osalg_1(D, A)) ) ) ) )  =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), B, C) =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), C, D) =>  ( (v1_osalg_3(E, A) & v1_osalg_3(F, A))  => v1_osalg_3(k3_msualg_3(u1_struct_0(A), B, C, D, E, F), A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_osalg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v11_osalg_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) & v11_osalg_1(C, A)) ) ) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), B, C) =>  ( (v1_msualg_3(D) &  (v2_msualg_3(D, u1_struct_0(A), B, C) & v1_osalg_3(D, A)) )  => v1_osalg_3(k4_msualg_3(u1_struct_0(A), B, C, D), A)) ) ) ) ) ) ) ) ) ).
fof(t7_osalg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v11_osalg_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) & v1_funcop_1(C)) ) ) )  =>  (v1_osalg_3(C, A) =>  (v1_relat_1(k9_pboole(u1_struct_0(A), B, C)) &  (v4_relat_1(k9_pboole(u1_struct_0(A), B, C), u1_struct_0(A)) &  (v1_funct_1(k9_pboole(u1_struct_0(A), B, C)) &  (v1_partfun1(k9_pboole(u1_struct_0(A), B, C), u1_struct_0(A)) & v11_osalg_1(k9_pboole(u1_struct_0(A), B, C), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_osalg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v12_osalg_1(C, A) & l3_msualg_1(C, A))  =>  (r1_osalg_3(A, B, C) <=>  (? [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) &  (r4_msualg_3(A, B, C, D) & v1_osalg_3(D, A)) ) ) ) ) ) ) ) ) ) ).
fof(t8_osalg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  => r1_osalg_3(A, B, B)) ) ) ) ).
fof(t9_osalg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v12_osalg_1(C, A) & l3_msualg_1(C, A)) )  =>  (r1_osalg_3(A, B, C) => r1_osalg_3(A, C, B)) ) ) ) ) ) ) ).
fof(t10_osalg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v12_osalg_1(C, A) & l3_msualg_1(C, A)) )  =>  (! [D] :  ( (v4_msualg_1(D, A) &  (v12_osalg_1(D, A) & l3_msualg_1(D, A)) )  =>  ( (r3_osalg_3(A, B, C) & r3_osalg_3(A, C, D))  => r3_osalg_3(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t11_osalg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v12_osalg_1(C, A) & l3_msualg_1(C, A)) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  ( (v1_osalg_3(D, A) & r1_msualg_3(A, B, C, D))  => v12_osalg_1(k6_msualg_3(A, B, C, D), A)) ) ) ) ) ) ) ) ) ).
fof(t12_osalg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v12_osalg_1(C, A) & l3_msualg_1(C, A)) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (v1_osalg_3(D, A) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u4_struct_0(A)) =>  (r6_osalg_1(A, E, F) =>  (! [G] :  (m1_subset_1(G, k3_msualg_1(A, E, B)) =>  (! [H] :  (m1_subset_1(H, k3_msualg_1(A, F, B)) =>  (G=H => k5_msualg_3(A, B, C, E, D, G)=k5_msualg_3(A, B, C, F, D, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_osalg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) &  (v13_osalg_1(B, A) & l3_msualg_1(B, A)) ) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v12_osalg_1(C, A) & l3_msualg_1(C, A)) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  ( (v1_osalg_3(D, A) & r1_msualg_3(A, B, C, D))  =>  (v12_osalg_1(k6_msualg_3(A, B, C, D), A) &  (v12_osalg_1(k6_msualg_3(A, B, C, D), A) &  (v13_osalg_1(k6_msualg_3(A, B, C, D), A) & l3_msualg_1(k6_msualg_3(A, B, C, D), A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_osalg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) &  (v13_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v12_osalg_1(C, A) & m1_msualg_2(C, A, B))  => v13_osalg_1(C, A)) ) ) ) ) ) ).
fof(t15_osalg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v12_osalg_1(C, A) & l3_msualg_1(C, A)) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  ~ ( (r1_msualg_3(A, B, C, D) &  (v1_osalg_3(D, A) &  (! [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, k6_msualg_3(A, B, C, D))) =>  ~ ( (r8_pboole(u1_struct_0(A), D, E) &  (v1_osalg_3(E, A) & r2_msualg_3(A, B, k6_msualg_3(A, B, C, D), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_osalg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v12_osalg_1(C, A) & l3_msualg_1(C, A)) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  ~ ( (r1_msualg_3(A, B, C, D) &  (v1_osalg_3(D, A) &  (! [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, k6_msualg_3(A, B, C, D))) =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), u3_msualg_1(A, k6_msualg_3(A, B, C, D)), u3_msualg_1(A, C)) =>  ~ ( (r2_msualg_3(A, B, k6_msualg_3(A, B, C, D), E) &  (r3_msualg_3(A, k6_msualg_3(A, B, C, D), C, F) &  (r8_pboole(u1_struct_0(A), D, k3_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, k6_msualg_3(A, B, C, D)), u3_msualg_1(A, C), E, F)) &  (v1_osalg_3(E, A) & v1_osalg_3(F, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_osalg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (v13_osalg_1(B, A) <=> v13_osalg_1(g3_msualg_1(A, u3_msualg_1(A, B), u4_msualg_1(A, B)), A)) ) ) ) ) ).
fof(t18_osalg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v3_msualg_1(B, A) &  (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) ) )  =>  (! [C] :  ( (v3_msualg_1(C, A) &  (v4_msualg_1(C, A) &  (v12_osalg_1(C, A) & l3_msualg_1(C, A)) ) )  =>  (r3_osalg_3(A, B, C) =>  (v13_osalg_1(B, A) <=> v13_osalg_1(C, A)) ) ) ) ) ) ) ) ).
fof(reflexivity_r2_osalg_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  &  (v12_osalg_1(C, A) & l3_msualg_1(C, A)) ) )  => r2_osalg_3(A, B, B)) ) ).
fof(redefinition_r2_osalg_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  &  (v12_osalg_1(C, A) & l3_msualg_1(C, A)) ) )  =>  (r2_osalg_3(A, B, C) <=> r1_osalg_3(A, B, C)) ) ) ).
fof(symmetry_r3_osalg_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  &  (v4_msualg_1(C, A) &  (v12_osalg_1(C, A) & l3_msualg_1(C, A)) ) ) )  =>  (r3_osalg_3(A, B, C) => r3_osalg_3(A, C, B)) ) ) ).
fof(redefinition_r3_osalg_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  &  (v4_msualg_1(C, A) &  (v12_osalg_1(C, A) & l3_msualg_1(C, A)) ) ) )  =>  (r3_osalg_3(A, B, C) <=> r1_osalg_3(A, B, C)) ) ) ).
fof(rc1_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v2_funcop_1(B) & v11_osalg_1(B, A)) ) ) ) ) ) ) ) ) ).
fof(rc2_osalg_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) ) )  =>  (? [D] :  (m1_msualg_4(D, u1_struct_0(A), B, C) &  (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(A)) &  ( ~ (v1_xboole_0(D))  &  (v1_funct_1(D) &  (v1_partfun1(D, u1_struct_0(A)) &  (v2_funcop_1(D) & v1_osalg_4(D, A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(cc1_osalg_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) ) )  =>  (! [D] :  (m1_msualg_4(D, u1_struct_0(A), B, C) =>  (v1_osalg_4(D, A, B, C) => v11_osalg_1(D, A)) ) ) ) ) ).
fof(rc3_osalg_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (? [C] :  (m1_osalg_4(C, A, B) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) &  (v2_funcop_1(C) & v2_msualg_4(C, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(rc4_osalg_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) ) )  =>  (? [C] :  (m1_osalg_4(C, A, B) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) &  (v2_funcop_1(C) &  (v2_msualg_4(C, A, B) & v3_msualg_4(C, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(cc2_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_osalg_4(A)) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(rc5_osalg_4, axiom,  (? [A] :  (l1_orders_2(A) &  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & v2_osalg_4(A)) ) ) ) ) ) ).
fof(rc6_osalg_4, axiom,  (? [A] :  (l3_osalg_1(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v14_struct_0(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v4_osalg_1(A) &  (v5_osalg_1(A) & v2_osalg_4(A)) ) ) ) ) ) ) ) ) ) ).
fof(cc3_osalg_4, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & v1_orders_3(A)) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & v2_osalg_4(A)) ) ) ) ) ) ) ).
fof(cc4_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v2_osalg_4(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k2_osalg_4(A)) => v1_waybel_0(B, A)) ) ) ) ).
fof(fc1_osalg_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  &  ( (v2_msualg_4(C, A, B) & m1_osalg_4(C, A, B))  & m1_subset_1(D, u1_struct_0(A))) ) )  =>  ~ (v1_xboole_0(k6_osalg_4(A, B, C, D))) ) ) ).
fof(fc2_osalg_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  &  (v2_msualg_4(C, A, B) & m1_osalg_4(C, A, B)) ) )  =>  (v1_relat_1(k7_osalg_4(A, B, C)) &  (v2_relat_1(k7_osalg_4(A, B, C)) &  (v4_relat_1(k7_osalg_4(A, B, C), u1_struct_0(A)) &  (v1_funct_1(k7_osalg_4(A, B, C)) &  (v1_partfun1(k7_osalg_4(A, B, C), u1_struct_0(A)) & v11_osalg_1(k7_osalg_4(A, B, C), A)) ) ) ) ) ) ) ).
fof(fc3_osalg_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  &  (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_osalg_4(C, A, B)) ) ) )  =>  (v3_msualg_1(k16_osalg_4(A, B, C), A) &  (v4_msualg_1(k16_osalg_4(A, B, C), A) & v12_osalg_1(k16_osalg_4(A, B, C), A)) ) ) ) ).
fof(rc7_osalg_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) ) )  =>  (? [C] :  (m1_osalg_4(C, A, B) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) &  (v2_funcop_1(C) &  (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & v3_osalg_4(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc8_osalg_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) ) )  =>  (? [C] :  (m1_osalg_4(C, A, B) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) &  (v2_funcop_1(C) &  (v2_msualg_4(C, A, B) & v3_osalg_4(C, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(cc5_osalg_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) ) )  =>  (! [C] :  (m1_osalg_4(C, A, B) =>  ( (v2_msualg_4(C, A, B) & v3_osalg_4(C, A, B))  =>  (v2_msualg_4(C, A, B) & v3_msualg_4(C, A, B)) ) ) ) ) ) ).
fof(cc6_osalg_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) &  (v13_osalg_1(B, A) & l3_msualg_1(B, A)) ) ) )  =>  (! [C] :  (m1_osalg_4(C, A, B) =>  ( (v2_msualg_4(C, A, B) & v3_msualg_4(C, A, B))  =>  (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & v3_osalg_4(C, A, B)) ) ) ) ) ) ) ).
fof(fc4_osalg_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  &  (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) &  (v3_osalg_4(C, A, B) & m1_osalg_4(C, A, B)) ) ) ) )  =>  (v12_osalg_1(k16_osalg_4(A, B, C), A) & v13_osalg_1(k16_osalg_4(A, B, C), A)) ) ) ).
fof(d1_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) )  =>  (! [D] :  (m1_msualg_4(D, u1_struct_0(A), B, C) =>  (v1_osalg_4(D, A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r3_orders_2(A, E, F) =>  (! [G] :  (! [H] :  ( (r2_tarski(G, k1_funct_1(B, E)) & r2_tarski(H, k1_funct_1(C, E)))  =>  (r2_hidden(k4_tarski(G, H), k1_msualg_4(u1_struct_0(A), B, C, D, E)) <=> r2_hidden(k4_tarski(G, H), k1_msualg_4(u1_struct_0(A), B, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) )  =>  (! [D] :  (m1_msualg_4(D, u1_struct_0(A), B, C) =>  (v1_osalg_4(D, A, B, C) =>  (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) &  (v1_partfun1(D, u1_struct_0(A)) & v11_osalg_1(D, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  (m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)) =>  (m1_osalg_4(C, A, B) <=> v1_osalg_4(C, A, u3_msualg_1(A, B), u3_msualg_1(A, B))) ) ) ) ) ) ) ).
fof(d3_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( (v1_partfun1(B, u1_struct_0(A)) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (B=k1_osalg_4(A) <=>  (! [C] :  (! [D] :  (r2_hidden(k4_tarski(C, D), B) <=>  (r2_hidden(C, u1_struct_0(A)) &  (r2_hidden(D, u1_struct_0(A)) &  (? [E] :  (m2_finseq_1(E, u1_struct_0(A)) &  ( ~ (r1_xxreal_0(k3_finseq_1(E), 1))  &  (k1_funct_1(E, 1)=C &  (k1_funct_1(E, k3_finseq_1(E))=D &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r1_xxreal_0(2, F) &  (r1_xxreal_0(F, k3_finseq_1(E)) &  ( ~ (r2_hidden(k4_tarski(k1_funct_1(E, F), k1_funct_1(E, k6_xcmplx_0(F, 1))), u1_orders_2(A)))  &  ~ (r2_hidden(k4_tarski(k1_funct_1(E, k6_xcmplx_0(F, 1)), k1_funct_1(E, F)), u1_orders_2(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_orders_2(A, B, C) => r2_hidden(k4_tarski(B, C), k1_osalg_4(A))) ) ) ) ) ) ) ).
fof(d4_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_osalg_4(A, B, C) <=> r2_hidden(k4_tarski(B, C), k1_osalg_4(A))) ) ) ) ) ) ) ).
fof(t3_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_osalg_4(A, B, C) & r1_osalg_4(A, C, D))  => r1_osalg_4(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d5_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  => k2_osalg_4(A)=k8_eqrel_1(u1_struct_0(A), k1_osalg_4(A))) ) ).
fof(d6_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k3_osalg_4(A, B)=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k1_osalg_4(A), B)) ) ) ) ).
fof(t4_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_orders_2(A, B, C) => k3_osalg_4(A, B)=k3_osalg_4(A, C)) ) ) ) ) ) ) ).
fof(t5_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (r2_tarski(D, k1_funct_1(B, C)) => r2_tarski(D, k4_osalg_4(A, B, k3_osalg_4(A, C)))) ) ) ) ) ) ) ) ).
fof(d8_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (v2_osalg_4(A) <=>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(u1_struct_0(A)), k2_osalg_4(A)) => v1_waybel_0(B, A)) ) ) ) ) ).
fof(t6_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_orders_3(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_hidden(k4_tarski(B, C), k1_osalg_4(A)) => B=C) ) ) ) ) ) ) ).
fof(t7_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_orders_3(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(u1_struct_0(A)), k2_osalg_4(A)) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & B=k1_tarski(C)) ) ) ) ) ) ).
fof(t8_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_orders_3(A) & l1_orders_2(A)) ) ) ) )  => v2_osalg_4(A)) ) ).
fof(t9_osalg_4, axiom,  (v1_partfun1(k1_xboole_0, k1_xboole_0) &  (v3_relat_2(k1_xboole_0) &  (v8_relat_2(k1_xboole_0) & m1_subset_1(k1_xboole_0, k1_zfmisc_1(k2_zfmisc_1(k1_xboole_0, k1_xboole_0)))) ) ) ).
fof(d9_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v2_msualg_4(C, A, B) & m1_osalg_4(C, A, B))  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(u1_struct_0(A)), k2_osalg_4(A)) =>  (! [E] :  ( (v1_partfun1(E, k4_osalg_4(A, u3_msualg_1(A, B), D)) &  (v3_relat_2(E) &  (v8_relat_2(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_osalg_4(A, u3_msualg_1(A, B), D), k4_osalg_4(A, u3_msualg_1(A, B), D))))) ) )  =>  (E=k5_osalg_4(A, B, C, D) <=>  (! [F] :  (! [G] :  (r2_hidden(k4_tarski(F, G), E) <=>  (? [H] :  (m1_subset_1(H, u1_struct_0(A)) &  (r2_tarski(H, D) & r2_hidden(k4_tarski(F, G), k2_msualg_4(A, B, C, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v2_msualg_4(C, A, B) & m1_osalg_4(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k8_eqrel_1(k4_osalg_4(A, u3_msualg_1(A, B), k3_osalg_4(A, D)), k5_osalg_4(A, B, C, k3_osalg_4(A, D))))) =>  (E=k6_osalg_4(A, B, C, D) <=>  (! [F] :  (r2_tarski(F, E) <=>  (? [G] :  (r2_tarski(G, k1_funct_1(u3_msualg_1(A, B), D)) & F=k6_eqrel_1(k4_osalg_4(A, u3_msualg_1(A, B), k3_osalg_4(A, D)), k4_osalg_4(A, u3_msualg_1(A, B), k3_osalg_4(A, D)), k5_osalg_4(A, B, C, k3_osalg_4(A, D)), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v2_msualg_4(C, A, B) & m1_osalg_4(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r3_orders_2(A, D, E) => r1_tarski(k6_osalg_4(A, B, C, D), k6_osalg_4(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v2_msualg_4(C, A, B) & m1_osalg_4(C, A, B))  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) &  (v1_partfun1(D, u1_struct_0(A)) & v11_osalg_1(D, A)) ) ) )  =>  (D=k7_osalg_4(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k1_funct_1(D, E)=k6_osalg_4(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v2_msualg_4(C, A, B) & m1_osalg_4(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, B), D)) => k8_osalg_4(A, B, C, D, E)=k6_eqrel_1(k4_osalg_4(A, u3_msualg_1(A, B), k3_osalg_4(A, D)), k4_osalg_4(A, u3_msualg_1(A, B), k3_osalg_4(A, D)), k5_osalg_4(A, B, C, k3_osalg_4(A, D)), E)) ) ) ) ) ) ) ) ) ) ).
fof(t11_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v2_osalg_4(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (r3_orders_2(A, D, B) & r3_orders_2(A, D, C)) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r3_orders_2(A, B, D) & r3_orders_2(A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v2_msualg_4(C, A, B) & m1_osalg_4(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, B), D)) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, B), D)) =>  (k8_osalg_4(A, B, C, D, E)=k8_osalg_4(A, B, C, D, F) <=> r2_hidden(k4_tarski(E, F), k2_msualg_4(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v2_msualg_4(C, A, B) & m1_osalg_4(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, B), D)) =>  (r3_orders_2(A, D, E) =>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, B), E)) =>  (G=F => k8_osalg_4(A, B, C, D, F)=k8_osalg_4(A, B, C, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v12_osalg_1(C, A) & l3_msualg_1(C, A)) )  =>  (! [D] :  ( (v2_msualg_4(D, A, C) &  (v3_msualg_4(D, A, C) & m1_osalg_4(D, A, C)) )  =>  (! [E] :  (m1_subset_1(E, k3_msualg_1(A, B, C)) =>  (! [F] :  (m1_subset_1(F, k4_card_3(k3_relat_1(k1_msualg_1(A, B), k7_osalg_4(A, C, D)))) =>  (F=k9_osalg_4(A, B, C, D, E) <=>  (! [G] :  (v7_ordinal1(G) =>  ~ ( (r2_tarski(G, k4_finseq_1(k1_msualg_1(A, B))) &  (! [H] :  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, C), k7_partfun1(u1_struct_0(A), k1_msualg_1(A, B), G))) =>  ~ ( (H=k1_funct_1(E, G) & k1_funct_1(F, G)=k8_osalg_4(A, C, D, k7_partfun1(u1_struct_0(A), k1_msualg_1(A, B), G), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v12_osalg_1(C, A) & l3_msualg_1(C, A)) )  =>  (! [D] :  ( (v2_msualg_4(D, A, C) &  (v3_msualg_4(D, A, C) & m1_osalg_4(D, A, C)) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_funct_1(k3_relat_1(u2_msualg_1(A), u3_msualg_1(A, C)), B), k1_funct_1(k3_relat_1(u2_msualg_1(A), k7_osalg_4(A, C, D)), B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k3_relat_1(u2_msualg_1(A), u3_msualg_1(A, C)), B), k1_funct_1(k3_relat_1(u2_msualg_1(A), k7_osalg_4(A, C, D)), B))))) )  =>  (E=k10_osalg_4(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, C), k2_msualg_1(A, B))) => k1_funct_1(E, F)=k8_osalg_4(A, C, D, k2_msualg_1(A, B), F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v12_osalg_1(C, A) & l3_msualg_1(C, A)) )  =>  (! [D] :  ( (v2_msualg_4(D, A, C) &  (v3_msualg_4(D, A, C) & m1_osalg_4(D, A, C)) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, C))), B), k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k7_osalg_4(A, C, D))), B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, C))), B), k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k7_osalg_4(A, C, D))), B))))) )  =>  (E=k11_osalg_4(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, k3_msualg_1(A, B, C)) => k1_funct_1(E, F)=k9_osalg_4(A, B, C, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_osalg_4(C, A, B)) )  =>  (! [D] :  (m2_pboole(D, u4_struct_0(A), k3_relat_1(u2_msualg_1(A), u3_msualg_1(A, B)), k3_relat_1(u2_msualg_1(A), k7_osalg_4(A, B, C))) =>  (D=k12_osalg_4(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) => r2_funct_2(k1_funct_1(k3_relat_1(u2_msualg_1(A), u3_msualg_1(A, B)), E), k1_funct_1(k3_relat_1(u2_msualg_1(A), k7_osalg_4(A, B, C)), E), k5_msualg_4(A, k3_relat_1(u2_msualg_1(A), u3_msualg_1(A, B)), k3_relat_1(u2_msualg_1(A), k7_osalg_4(A, B, C)), D, E), k10_osalg_4(A, E, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_osalg_4(C, A, B)) )  =>  (! [D] :  (m2_pboole(D, u4_struct_0(A), k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, B))), k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k7_osalg_4(A, B, C)))) =>  (D=k13_osalg_4(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) => r2_funct_2(k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, B))), E), k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k7_osalg_4(A, B, C))), E), k5_msualg_4(A, k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, B))), k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k7_osalg_4(A, B, C))), D, E), k11_osalg_4(A, E, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v12_osalg_1(C, A) & l3_msualg_1(C, A)) )  =>  (! [D] :  ( (v2_msualg_4(D, A, C) &  (v3_msualg_4(D, A, C) & m1_osalg_4(D, A, C)) )  =>  (! [E] :  ~ ( (r2_tarski(E, k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k7_osalg_4(A, C, D))), B)) &  (! [F] :  (m1_subset_1(F, k3_msualg_1(A, B, C)) =>  ~ (E=k9_osalg_4(A, B, C, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v12_osalg_1(C, A) & l3_msualg_1(C, A)) )  =>  (! [D] :  ( (v2_msualg_4(D, A, C) &  (v3_msualg_4(D, A, C) & m1_osalg_4(D, A, C)) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k7_osalg_4(A, C, D))), B), k1_funct_1(k3_relat_1(u2_msualg_1(A), k7_osalg_4(A, C, D)), B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k7_osalg_4(A, C, D))), B), k1_funct_1(k3_relat_1(u2_msualg_1(A), k7_osalg_4(A, C, D)), B))))) )  =>  (E=k14_osalg_4(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, k3_msualg_1(A, B, C)) =>  (r2_tarski(k9_osalg_4(A, B, C, D, F), k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k7_osalg_4(A, C, D))), B)) => k1_funct_1(E, k9_osalg_4(A, B, C, D, F))=k1_funct_1(k1_partfun1(k3_msualg_1(A, B, C), k4_msualg_1(A, B, C), k1_funct_1(k3_relat_1(u2_msualg_1(A), u3_msualg_1(A, C)), B), k1_funct_1(k3_relat_1(u2_msualg_1(A), k7_osalg_4(A, C, D)), B), k5_msualg_1(A, B, C), k10_osalg_4(A, B, C, D)), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_osalg_4(C, A, B)) )  =>  (! [D] :  (m2_pboole(D, u4_struct_0(A), k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k7_osalg_4(A, B, C))), k3_relat_1(u2_msualg_1(A), k7_osalg_4(A, B, C))) =>  (D=k15_osalg_4(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) => r2_funct_2(k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k7_osalg_4(A, B, C))), E), k1_funct_1(k3_relat_1(u2_msualg_1(A), k7_osalg_4(A, B, C)), E), k5_msualg_4(A, k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k7_osalg_4(A, B, C))), k3_relat_1(u2_msualg_1(A), k7_osalg_4(A, B, C)), D, E), k14_osalg_4(A, E, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(d20_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_osalg_4(C, A, B)) )  => k16_osalg_4(A, B, C)=g3_msualg_1(A, k7_osalg_4(A, B, C), k15_osalg_4(A, B, C))) ) ) ) ) ) ).
fof(d21_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_osalg_4(C, A, B)) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_funct_1(u3_msualg_1(A, B), D), k6_osalg_4(A, B, C, D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A, B), D), k6_osalg_4(A, B, C, D))))) )  =>  (E=k17_osalg_4(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, k1_funct_1(u3_msualg_1(A, B), D)) => k3_funct_2(k1_funct_1(u3_msualg_1(A, B), D), k6_osalg_4(A, B, C, D), E, F)=k8_osalg_4(A, B, C, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d22_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_osalg_4(C, A, B)) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, k16_osalg_4(A, B, C))) =>  (D=k18_osalg_4(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => r1_funct_2(k1_funct_1(u3_msualg_1(A, B), E), k1_funct_1(u3_msualg_1(A, k16_osalg_4(A, B, C)), E), k1_funct_1(u3_msualg_1(A, B), E), k6_osalg_4(A, B, C, E), k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, k16_osalg_4(A, B, C)), D, E), k17_osalg_4(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_osalg_4(C, A, B)) )  =>  (r2_msualg_3(A, B, k16_osalg_4(A, B, C), k18_osalg_4(A, B, C)) & v1_osalg_3(k18_osalg_4(A, B, C), A)) ) ) ) ) ) ) ).
fof(t16_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v12_osalg_1(C, A) & l3_msualg_1(C, A)) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  ( (r1_msualg_3(A, B, C, D) & v1_osalg_3(D, A))  =>  (v2_msualg_4(k17_msualg_4(A, B, C, D), A, B) &  (v3_msualg_4(k17_msualg_4(A, B, C, D), A, B) & m1_osalg_4(k17_msualg_4(A, B, C, D), A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(d23_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v12_osalg_1(C, A) & l3_msualg_1(C, A)) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  ( (r1_msualg_3(A, B, C, D) & v1_osalg_3(D, A))  => k19_osalg_4(A, B, C, D)=k17_msualg_4(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(d24_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v12_osalg_1(C, A) & l3_msualg_1(C, A)) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_msualg_3(A, B, C, D) & v1_osalg_3(D, A))  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k1_funct_1(u3_msualg_1(A, k16_osalg_4(A, B, k19_osalg_4(A, B, C, D))), E), k1_funct_1(u3_msualg_1(A, C), E)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A, k16_osalg_4(A, B, k19_osalg_4(A, B, C, D))), E), k1_funct_1(u3_msualg_1(A, C), E))))) )  =>  (F=k20_osalg_4(A, B, C, D, E) <=>  (! [G] :  (m1_subset_1(G, k1_funct_1(u3_msualg_1(A, B), E)) => k1_funct_1(F, k8_osalg_4(A, B, k19_osalg_4(A, B, C, D), E, G))=k3_funct_2(k1_funct_1(u3_msualg_1(A, B), E), k1_funct_1(u3_msualg_1(A, C), E), k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C), D, E), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d25_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v12_osalg_1(C, A) & l3_msualg_1(C, A)) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, k16_osalg_4(A, B, k19_osalg_4(A, B, C, D))), u3_msualg_1(A, C)) =>  (E=k21_osalg_4(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => r2_funct_2(k1_funct_1(u3_msualg_1(A, k16_osalg_4(A, B, k19_osalg_4(A, B, C, D))), F), k1_funct_1(u3_msualg_1(A, C), F), k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, k16_osalg_4(A, B, k19_osalg_4(A, B, C, D))), u3_msualg_1(A, C), E, F), k20_osalg_4(A, B, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v12_osalg_1(C, A) & l3_msualg_1(C, A)) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  ( (r1_msualg_3(A, B, C, D) & v1_osalg_3(D, A))  =>  (r3_msualg_3(A, k16_osalg_4(A, B, k19_osalg_4(A, B, C, D)), C, k21_osalg_4(A, B, C, D)) & v1_osalg_3(k21_osalg_4(A, B, C, D), A)) ) ) ) ) ) ) ) ) ) ).
fof(t18_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v12_osalg_1(C, A) & l3_msualg_1(C, A)) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  ( (r2_msualg_3(A, B, C, D) & v1_osalg_3(D, A))  => r4_msualg_3(A, k16_osalg_4(A, B, k19_osalg_4(A, B, C, D)), C, k21_osalg_4(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t19_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v12_osalg_1(C, A) & l3_msualg_1(C, A)) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  ( (r2_msualg_3(A, B, C, D) & v1_osalg_3(D, A))  => r6_msualg_3(A, k16_osalg_4(A, B, k19_osalg_4(A, B, C, D)), C)) ) ) ) ) ) ) ) ) ).
fof(d26_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v2_msualg_4(C, A, B) & m1_osalg_4(C, A, B))  =>  (v3_osalg_4(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (r6_osalg_1(A, D, E) =>  (! [F] :  (m1_subset_1(F, k3_msualg_1(A, D, B)) =>  (! [G] :  (m1_subset_1(G, k3_msualg_1(A, E, B)) =>  ( (! [H] :  (v7_ordinal1(H) =>  (r2_tarski(H, k9_xtuple_0(F)) => r2_hidden(k4_tarski(k1_funct_1(F, H), k1_funct_1(G, H)), k2_msualg_4(A, B, C, k7_partfun1(u1_struct_0(A), k1_msualg_1(A, E), H)))) ) )  => r2_hidden(k4_tarski(k3_funct_2(k3_msualg_1(A, D, B), k4_msualg_1(A, D, B), k5_msualg_1(A, D, B), F), k3_funct_2(k3_msualg_1(A, E, B), k4_msualg_1(A, E, B), k5_msualg_1(A, E, B), G)), k2_msualg_4(A, B, C, k2_msualg_1(A, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (v2_msualg_4(k6_pboole(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)), A, B) &  (v3_msualg_4(k6_pboole(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)), A, B) & m1_osalg_4(k6_pboole(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B)), A, B)) ) ) ) ) ) ).
fof(t21_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_osalg_4(C, A, B)) )  =>  (r8_pboole(u1_struct_0(A), C, k6_pboole(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) => v3_osalg_4(C, A, B)) ) ) ) ) ) ) ).
fof(t22_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v2_msualg_4(C, A, B) &  (v3_osalg_4(C, A, B) & m1_osalg_4(C, A, B)) )  => v3_msualg_4(C, A, B)) ) ) ) ) ) ).
fof(t23_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) &  (v13_osalg_1(B, A) & l3_msualg_1(B, A)) ) )  =>  (! [C] :  ( (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_osalg_4(C, A, B)) )  => v3_osalg_4(C, A, B)) ) ) ) ) ) ).
fof(t24_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v12_osalg_1(C, A) &  (v13_osalg_1(C, A) & l3_msualg_1(C, A)) ) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  ( (r1_msualg_3(A, B, C, D) & v1_osalg_3(D, A))  => v3_osalg_4(k19_osalg_4(A, B, C, D), A, B)) ) ) ) ) ) ) ) ) ).
fof(d27_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v12_osalg_1(C, A) & l3_msualg_1(C, A)) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (! [E] :  ( (v2_msualg_4(E, A, B) &  (v3_msualg_4(E, A, B) & m1_osalg_4(E, A, B)) )  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r1_msualg_3(A, B, C, D) &  (v1_osalg_3(D, A) & r2_pboole(u1_struct_0(A), E, k19_osalg_4(A, B, C, D))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k1_funct_1(u3_msualg_1(A, k16_osalg_4(A, B, E)), F), k1_funct_1(u3_msualg_1(A, C), F)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A, k16_osalg_4(A, B, E)), F), k1_funct_1(u3_msualg_1(A, C), F))))) )  =>  (G=k22_osalg_4(A, B, C, D, E, F) <=>  (! [H] :  (m1_subset_1(H, k1_funct_1(u3_msualg_1(A, B), F)) => k1_funct_1(G, k8_osalg_4(A, B, E, F, H))=k3_funct_2(k1_funct_1(u3_msualg_1(A, B), F), k1_funct_1(u3_msualg_1(A, C), F), k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C), D, F), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d28_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v12_osalg_1(C, A) & l3_msualg_1(C, A)) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (! [E] :  ( (v2_msualg_4(E, A, B) &  (v3_msualg_4(E, A, B) & m1_osalg_4(E, A, B)) )  =>  (! [F] :  (m2_pboole(F, u1_struct_0(A), u3_msualg_1(A, k16_osalg_4(A, B, E)), u3_msualg_1(A, C)) =>  (F=k23_osalg_4(A, B, C, D, E) <=>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) => r2_funct_2(k1_funct_1(u3_msualg_1(A, k16_osalg_4(A, B, E)), G), k1_funct_1(u3_msualg_1(A, C), G), k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, k16_osalg_4(A, B, E)), u3_msualg_1(A, C), F, G), k22_osalg_4(A, B, C, D, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v12_osalg_1(C, A) & l3_msualg_1(C, A)) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (! [E] :  ( (v2_msualg_4(E, A, B) &  (v3_msualg_4(E, A, B) & m1_osalg_4(E, A, B)) )  =>  ( (r1_msualg_3(A, B, C, D) &  (v1_osalg_3(D, A) & r2_pboole(u1_struct_0(A), E, k19_osalg_4(A, B, C, D))) )  =>  (r1_msualg_3(A, k16_osalg_4(A, B, E), C, k23_osalg_4(A, B, C, D, E)) & v1_osalg_3(k23_osalg_4(A, B, C, D, E), A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_m1_osalg_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_osalg_4(C, A, B) => m1_msualg_4(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) ) ) ) ).
fof(existence_m1_osalg_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) & l3_osalg_1(A)) ) ) )  &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  =>  (? [C] : m1_osalg_4(C, A, B)) ) ) ).
fof(dt_k1_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (v1_partfun1(k1_osalg_4(A), u1_struct_0(A)) &  (v3_relat_2(k1_osalg_4(A)) &  (v8_relat_2(k1_osalg_4(A)) & m1_subset_1(k1_osalg_4(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ) ).
fof(symmetry_r1_osalg_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r1_osalg_4(A, B, C) => r1_osalg_4(A, C, B)) ) ) ).
fof(reflexivity_r1_osalg_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => r1_osalg_4(A, B, B)) ) ).
fof(dt_k2_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  ( ~ (v1_xboole_0(k2_osalg_4(A)))  & m1_subset_1(k2_osalg_4(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ) ).
fof(dt_k3_osalg_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => m2_subset_1(k3_osalg_4(A, B), k1_zfmisc_1(u1_struct_0(A)), k2_osalg_4(A))) ) ).
fof(dt_k5_osalg_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  &  ( (v2_msualg_4(C, A, B) & m1_osalg_4(C, A, B))  & m1_subset_1(D, k2_osalg_4(A))) ) )  =>  (v1_partfun1(k5_osalg_4(A, B, C, D), k4_osalg_4(A, u3_msualg_1(A, B), D)) &  (v3_relat_2(k5_osalg_4(A, B, C, D)) &  (v8_relat_2(k5_osalg_4(A, B, C, D)) & m1_subset_1(k5_osalg_4(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_osalg_4(A, u3_msualg_1(A, B), D), k4_osalg_4(A, u3_msualg_1(A, B), D))))) ) ) ) ) ).
fof(dt_k6_osalg_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  &  ( (v2_msualg_4(C, A, B) & m1_osalg_4(C, A, B))  & m1_subset_1(D, u1_struct_0(A))) ) )  => m1_subset_1(k6_osalg_4(A, B, C, D), k1_zfmisc_1(k8_eqrel_1(k4_osalg_4(A, u3_msualg_1(A, B), k3_osalg_4(A, D)), k5_osalg_4(A, B, C, k3_osalg_4(A, D)))))) ) ).
fof(dt_k7_osalg_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  ( (v12_osalg_1(B, A) & l3_msualg_1(B, A))  &  (v2_msualg_4(C, A, B) & m1_osalg_4(C, A, B)) ) )  =>  (v1_relat_1(k7_osalg_4(A, B, C)) &  (v4_relat_1(k7_osalg_4(A, B, C), u1_struct_0(A)) &  (v1_funct_1(k7_osalg_4(A, B, C)) &  (v1_partfun1(k7_osalg_4(A, B, C), u1_struct_0(A)) & v11_osalg_1(k7_osalg_4(A, B, C), A)) ) ) ) ) ) ).
fof(dt_k8_osalg_4, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  &  ( (v2_msualg_4(C, A, B) & m1_osalg_4(C, A, B))  &  (m1_subset_1(D, u1_struct_0(A)) & m1_subset_1(E, k1_funct_1(u3_msualg_1(A, B), D))) ) ) )  => m1_subset_1(k8_osalg_4(A, B, C, D, E), k6_osalg_4(A, B, C, D))) ) ).
fof(dt_k9_osalg_4, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  (m1_subset_1(B, u4_struct_0(A)) &  ( (v4_msualg_1(C, A) &  (v12_osalg_1(C, A) & l3_msualg_1(C, A)) )  &  ( (v2_msualg_4(D, A, C) &  (v3_msualg_4(D, A, C) & m1_osalg_4(D, A, C)) )  & m1_subset_1(E, k3_msualg_1(A, B, C))) ) ) )  => m1_subset_1(k9_osalg_4(A, B, C, D, E), k4_card_3(k3_relat_1(k1_msualg_1(A, B), k7_osalg_4(A, C, D))))) ) ).
fof(dt_k10_osalg_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  (m1_subset_1(B, u4_struct_0(A)) &  ( (v4_msualg_1(C, A) &  (v12_osalg_1(C, A) & l3_msualg_1(C, A)) )  &  (v2_msualg_4(D, A, C) &  (v3_msualg_4(D, A, C) & m1_osalg_4(D, A, C)) ) ) ) )  =>  (v1_funct_1(k10_osalg_4(A, B, C, D)) &  (v1_funct_2(k10_osalg_4(A, B, C, D), k1_funct_1(k3_relat_1(u2_msualg_1(A), u3_msualg_1(A, C)), B), k1_funct_1(k3_relat_1(u2_msualg_1(A), k7_osalg_4(A, C, D)), B)) & m1_subset_1(k10_osalg_4(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k3_relat_1(u2_msualg_1(A), u3_msualg_1(A, C)), B), k1_funct_1(k3_relat_1(u2_msualg_1(A), k7_osalg_4(A, C, D)), B))))) ) ) ) ).
fof(dt_k11_osalg_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  (m1_subset_1(B, u4_struct_0(A)) &  ( (v4_msualg_1(C, A) &  (v12_osalg_1(C, A) & l3_msualg_1(C, A)) )  &  (v2_msualg_4(D, A, C) &  (v3_msualg_4(D, A, C) & m1_osalg_4(D, A, C)) ) ) ) )  =>  (v1_funct_1(k11_osalg_4(A, B, C, D)) &  (v1_funct_2(k11_osalg_4(A, B, C, D), k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, C))), B), k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k7_osalg_4(A, C, D))), B)) & m1_subset_1(k11_osalg_4(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, C))), B), k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k7_osalg_4(A, C, D))), B))))) ) ) ) ).
fof(dt_k12_osalg_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  &  (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_osalg_4(C, A, B)) ) ) )  => m2_pboole(k12_osalg_4(A, B, C), u4_struct_0(A), k3_relat_1(u2_msualg_1(A), u3_msualg_1(A, B)), k3_relat_1(u2_msualg_1(A), k7_osalg_4(A, B, C)))) ) ).
fof(dt_k13_osalg_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  &  (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_osalg_4(C, A, B)) ) ) )  => m2_pboole(k13_osalg_4(A, B, C), u4_struct_0(A), k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, B))), k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k7_osalg_4(A, B, C))))) ) ).
fof(dt_k14_osalg_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  (m1_subset_1(B, u4_struct_0(A)) &  ( (v4_msualg_1(C, A) &  (v12_osalg_1(C, A) & l3_msualg_1(C, A)) )  &  (v2_msualg_4(D, A, C) &  (v3_msualg_4(D, A, C) & m1_osalg_4(D, A, C)) ) ) ) )  =>  (v1_funct_1(k14_osalg_4(A, B, C, D)) &  (v1_funct_2(k14_osalg_4(A, B, C, D), k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k7_osalg_4(A, C, D))), B), k1_funct_1(k3_relat_1(u2_msualg_1(A), k7_osalg_4(A, C, D)), B)) & m1_subset_1(k14_osalg_4(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k7_osalg_4(A, C, D))), B), k1_funct_1(k3_relat_1(u2_msualg_1(A), k7_osalg_4(A, C, D)), B))))) ) ) ) ).
fof(dt_k15_osalg_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  &  (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_osalg_4(C, A, B)) ) ) )  => m2_pboole(k15_osalg_4(A, B, C), u4_struct_0(A), k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), k7_osalg_4(A, B, C))), k3_relat_1(u2_msualg_1(A), k7_osalg_4(A, B, C)))) ) ).
fof(dt_k16_osalg_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  &  (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_osalg_4(C, A, B)) ) ) )  =>  (v12_osalg_1(k16_osalg_4(A, B, C), A) & l3_msualg_1(k16_osalg_4(A, B, C), A)) ) ) ).
fof(dt_k17_osalg_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  &  ( (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_osalg_4(C, A, B)) )  & m1_subset_1(D, u1_struct_0(A))) ) )  =>  (v1_funct_1(k17_osalg_4(A, B, C, D)) &  (v1_funct_2(k17_osalg_4(A, B, C, D), k1_funct_1(u3_msualg_1(A, B), D), k6_osalg_4(A, B, C, D)) & m1_subset_1(k17_osalg_4(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A, B), D), k6_osalg_4(A, B, C, D))))) ) ) ) ).
fof(dt_k18_osalg_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  &  (v2_msualg_4(C, A, B) &  (v3_msualg_4(C, A, B) & m1_osalg_4(C, A, B)) ) ) )  => m2_pboole(k18_osalg_4(A, B, C), u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, k16_osalg_4(A, B, C)))) ) ).
fof(dt_k19_osalg_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  &  ( (v4_msualg_1(C, A) &  (v12_osalg_1(C, A) & l3_msualg_1(C, A)) )  & m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C))) ) )  =>  (v2_msualg_4(k19_osalg_4(A, B, C, D), A, B) &  (v3_msualg_4(k19_osalg_4(A, B, C, D), A, B) & m1_osalg_4(k19_osalg_4(A, B, C, D), A, B)) ) ) ) ).
fof(dt_k20_osalg_4, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  &  ( (v4_msualg_1(C, A) &  (v12_osalg_1(C, A) & l3_msualg_1(C, A)) )  &  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) & m1_subset_1(E, u1_struct_0(A))) ) ) )  =>  (v1_funct_1(k20_osalg_4(A, B, C, D, E)) &  (v1_funct_2(k20_osalg_4(A, B, C, D, E), k1_funct_1(u3_msualg_1(A, k16_osalg_4(A, B, k19_osalg_4(A, B, C, D))), E), k1_funct_1(u3_msualg_1(A, C), E)) & m1_subset_1(k20_osalg_4(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A, k16_osalg_4(A, B, k19_osalg_4(A, B, C, D))), E), k1_funct_1(u3_msualg_1(A, C), E))))) ) ) ) ).
fof(dt_k21_osalg_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  &  ( (v4_msualg_1(C, A) &  (v12_osalg_1(C, A) & l3_msualg_1(C, A)) )  & m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C))) ) )  => m2_pboole(k21_osalg_4(A, B, C, D), u1_struct_0(A), u3_msualg_1(A, k16_osalg_4(A, B, k19_osalg_4(A, B, C, D))), u3_msualg_1(A, C))) ) ).
fof(dt_k22_osalg_4, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  &  ( (v4_msualg_1(C, A) &  (v12_osalg_1(C, A) & l3_msualg_1(C, A)) )  &  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) &  ( (v2_msualg_4(E, A, B) &  (v3_msualg_4(E, A, B) & m1_osalg_4(E, A, B)) )  & m1_subset_1(F, u1_struct_0(A))) ) ) ) )  =>  (v1_funct_1(k22_osalg_4(A, B, C, D, E, F)) &  (v1_funct_2(k22_osalg_4(A, B, C, D, E, F), k1_funct_1(u3_msualg_1(A, k16_osalg_4(A, B, E)), F), k1_funct_1(u3_msualg_1(A, C), F)) & m1_subset_1(k22_osalg_4(A, B, C, D, E, F), k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A, k16_osalg_4(A, B, E)), F), k1_funct_1(u3_msualg_1(A, C), F))))) ) ) ) ).
fof(dt_k23_osalg_4, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v4_osalg_1(A) &  (v5_osalg_1(A) &  (v2_osalg_4(A) & l3_osalg_1(A)) ) ) ) )  &  ( (v4_msualg_1(B, A) &  (v12_osalg_1(B, A) & l3_msualg_1(B, A)) )  &  ( (v4_msualg_1(C, A) &  (v12_osalg_1(C, A) & l3_msualg_1(C, A)) )  &  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) &  (v2_msualg_4(E, A, B) &  (v3_msualg_4(E, A, B) & m1_osalg_4(E, A, B)) ) ) ) ) )  => m2_pboole(k23_osalg_4(A, B, C, D, E), u1_struct_0(A), u3_msualg_1(A, k16_osalg_4(A, B, E)), u3_msualg_1(A, C))) ) ).
fof(d7_osalg_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(u1_struct_0(A)), k2_osalg_4(A)) => k4_osalg_4(A, B, C)=k3_tarski(a_3_0_osalg_4(A, B, C))) ) ) ) ) ) ).
fof(fraenkel_a_3_0_osalg_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) & l1_orders_2(B)) ) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) )  & m2_subset_1(D, k1_zfmisc_1(u1_struct_0(B)), k2_osalg_4(B))) )  =>  (r2_hidden(A, a_3_0_osalg_4(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k1_funct_1(C, E) & r2_tarski(E, D)) ) ) ) ) ) ).
fof(fc1_papdesaf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  ( ~ (v7_struct_0(k2_diraf(A)))  &  (v1_analoaf(k2_diraf(A)) & v1_diraf(k2_diraf(A))) ) ) ) ).
fof(fc2_papdesaf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) &  (v3_analoaf(A) & l1_analoaf(A)) ) )  =>  (v1_analoaf(k2_diraf(A)) & v2_diraf(k2_diraf(A))) ) ) ).
fof(rc1_papdesaf, axiom,  (? [A] :  (l1_analoaf(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) &  (v1_papdesaf(A) &  (v2_papdesaf(A) &  (v3_papdesaf(A) & v4_papdesaf(A)) ) ) ) ) ) ) ) ).
fof(rc2_papdesaf, axiom,  (? [A] :  (l1_analoaf(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v1_analoaf(A) &  (v1_diraf(A) &  (v2_diraf(A) &  (v2_aff_2(A) &  (v4_aff_2(A) &  (v7_aff_2(A) &  (v11_aff_2(A) & v1_translac(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_papdesaf, axiom,  (? [A] :  (l1_analoaf(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v1_analoaf(A) &  (v1_diraf(A) &  (v2_aff_2(A) &  (v4_aff_2(A) &  (v7_aff_2(A) &  (v11_aff_2(A) & v1_translac(A)) ) ) ) ) ) ) ) ) ) ).
fof(fc3_papdesaf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (v1_analoaf(k2_diraf(A)) & v1_translac(k2_diraf(A))) ) ) ).
fof(fc4_papdesaf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) &  (v1_papdesaf(A) & l1_analoaf(A)) ) )  =>  (v1_analoaf(k2_diraf(A)) & v2_aff_2(k2_diraf(A))) ) ) ).
fof(fc5_papdesaf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) &  (v2_papdesaf(A) & l1_analoaf(A)) ) )  =>  (v1_analoaf(k2_diraf(A)) & v4_aff_2(k2_diraf(A))) ) ) ).
fof(fc6_papdesaf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) &  (v3_papdesaf(A) & l1_analoaf(A)) ) )  =>  (v1_analoaf(k2_diraf(A)) & v7_aff_2(k2_diraf(A))) ) ) ).
fof(fc7_papdesaf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) &  (v4_papdesaf(A) & l1_analoaf(A)) ) )  =>  (v1_analoaf(k2_diraf(A)) & v11_aff_2(k2_diraf(A))) ) ) ).
fof(t1_papdesaf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  ( (m1_subset_1(B, u1_struct_0(A)) => m1_subset_1(B, u1_struct_0(k2_diraf(A))))  &  ( (m1_subset_1(B, u1_struct_0(k2_diraf(A))) => m1_subset_1(B, u1_struct_0(A)))  &  ( (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k2_diraf(A)))))  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k2_diraf(A)))) => m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ) ).
fof(t2_papdesaf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_diraf(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_diraf(A))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k2_diraf(A))) =>  ( (B=E &  (C=F & D=G) )  =>  (r3_diraf(A, B, C, D) <=> r1_aff_1(k2_diraf(A), E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_papdesaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_analoaf(A))) <=> m1_subset_1(B, u1_struct_0(A))) ) ) ) ).
fof(t4_papdesaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v2_analoaf(B) & l1_analoaf(B)) )  =>  (B=k2_analoaf(A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  ( (C=G &  (D=H &  (E=I & F=J) ) )  =>  (r2_diraf(B, C, D, E, F) <=> r1_geomtrap(A, G, H, I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_papdesaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v2_analoaf(B) & l1_analoaf(B)) )  =>  ~ ( (B=k2_analoaf(A) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (v1_xreal_0(E) &  (? [F] :  (v1_xreal_0(F) &  (k3_rlvect_1(A, k1_rlvect_1(A, C, E), k1_rlvect_1(A, D, F))=k4_struct_0(A) &  ~ ( (E=k5_numbers & F=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_papdesaf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (v1_translac(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r2_analoaf(A, B, C, D, E) &  (r2_analoaf(A, B, D, C, E) & r2_analoaf(A, B, E, C, D)) )  => r2_analoaf(A, B, C, B, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_papdesaf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (v1_papdesaf(A) <=> v2_aff_2(k2_diraf(A))) ) ) ).
fof(d3_papdesaf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (v2_papdesaf(A) <=> v4_aff_2(k2_diraf(A))) ) ) ).
fof(d4_papdesaf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (v3_papdesaf(A) <=> v7_aff_2(k2_diraf(A))) ) ) ).
fof(d5_papdesaf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (v4_papdesaf(A) <=> v11_aff_2(k2_diraf(A))) ) ) ).
fof(d6_papdesaf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (v5_papdesaf(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ( (r2_analoaf(A, B, C, B, F) &  (r2_analoaf(A, B, D, B, G) &  (r2_analoaf(A, B, E, B, H) &  (r2_analoaf(A, C, D, F, G) & r2_analoaf(A, C, E, F, H)) ) ) )  =>  (r3_diraf(A, B, C, D) |  (r3_diraf(A, B, C, E) | r2_analoaf(A, D, E, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_papdesaf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (v6_papdesaf(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ( (r2_analoaf(A, C, B, B, F) &  (r2_analoaf(A, D, B, B, G) &  (r2_analoaf(A, E, B, B, H) &  (r2_analoaf(A, C, D, G, F) & r2_analoaf(A, C, E, H, F)) ) ) )  =>  (r3_diraf(A, B, C, D) |  (r3_diraf(A, B, C, E) | r2_analoaf(A, D, E, H, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_papdesaf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (v6_papdesaf(A) => v5_papdesaf(A)) ) ) ).
fof(t7_papdesaf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_analoaf(A, C, B, B, E) &  (r3_diraf(A, B, D, F) & r2_diraf(A, C, D, E, F)) )  =>  (r3_diraf(A, B, C, D) |  (r2_analoaf(A, D, B, B, F) & r2_analoaf(A, C, D, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_papdesaf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_analoaf(A, B, C, B, E) &  (r3_diraf(A, B, D, F) & r2_diraf(A, C, D, E, F)) )  =>  (r3_diraf(A, B, C, D) |  (r2_analoaf(A, B, D, B, F) & r2_analoaf(A, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_papdesaf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (v6_papdesaf(A) => v4_aff_2(k2_diraf(A))) ) ) ).
fof(t10_papdesaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (v1_xreal_0(G) =>  ( (k5_algstr_0(A, B, C)=k1_rlvect_1(A, k5_algstr_0(A, E, B), G) &  (r1_geomtrap(A, B, D, B, F) & r1_geomtrap(A, C, D, E, F)) )  =>  (G=k5_numbers |  (r1_geomtrap(A, B, C, B, D) |  (F=k3_rlvect_1(A, E, k1_rlvect_1(A, k5_algstr_0(A, D, C), k5_xcmplx_0(k4_xcmplx_0(G)))) &  (F=k3_rlvect_1(A, B, k1_rlvect_1(A, k5_algstr_0(A, D, B), k5_xcmplx_0(k4_xcmplx_0(G)))) & k5_algstr_0(A, D, C)=k1_rlvect_1(A, k5_algstr_0(A, F, E), k4_xcmplx_0(G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_papdesaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v2_analoaf(B) & l1_analoaf(B)) )  =>  (B=k2_analoaf(A) => v6_papdesaf(B)) ) ) ) ) ).
fof(t12_papdesaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v2_analoaf(B) & l1_analoaf(B)) )  =>  (B=k2_analoaf(A) =>  (v6_papdesaf(B) & v5_papdesaf(B)) ) ) ) ) ) ).
fof(t13_papdesaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v2_analoaf(B) & l1_analoaf(B)) )  =>  (B=k2_analoaf(A) => v2_aff_2(k2_diraf(B))) ) ) ) ) ).
fof(t14_papdesaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v2_analoaf(B) & l1_analoaf(B)) )  =>  (B=k2_analoaf(A) => v4_aff_2(k2_diraf(B))) ) ) ) ) ).
fof(t15_papdesaf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) & l1_analoaf(A)) )  =>  (v4_aff_2(A) => v7_aff_2(A)) ) ) ).
fof(t16_papdesaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v2_analoaf(B) & l1_analoaf(B)) )  =>  (B=k2_analoaf(A) => v7_aff_2(k2_diraf(B))) ) ) ) ) ).
fof(t17_papdesaf, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v2_analoaf(B) & l1_analoaf(B)) )  =>  (B=k2_analoaf(A) => v11_aff_2(k2_diraf(B))) ) ) ) ) ).
fof(t18_papdesaf, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  => v1_translac(k2_diraf(A))) ) ).
fof(t1_pardepap, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v2_aff_2(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_analoaf(A, B, C, B, D) &  (r2_analoaf(A, E, F, E, G) &  (r2_analoaf(A, B, F, C, E) & r2_analoaf(A, C, G, D, F)) ) )  => r2_analoaf(A, D, E, B, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_pardepap, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v4_aff_2(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ( (r2_analoaf(A, B, C, B, D) &  (r2_analoaf(A, B, E, B, F) &  (r2_analoaf(A, B, G, B, H) &  (r2_analoaf(A, C, E, D, F) & r2_analoaf(A, C, G, D, H)) ) ) )  =>  (r2_analoaf(A, B, C, B, E) |  (r2_analoaf(A, B, C, B, G) | r2_analoaf(A, E, G, F, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_pardepap, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (v11_aff_2(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_analoaf(A, B, C, D, E) &  (r2_analoaf(A, B, C, F, G) &  (r2_analoaf(A, B, D, C, E) & r2_analoaf(A, B, F, C, G)) ) )  =>  (r2_analoaf(A, B, C, B, D) |  (r2_analoaf(A, B, C, B, F) | r2_analoaf(A, D, F, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_pardepap, axiom,  (? [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ( (r2_analoaf(A, B, C, B, D) &  (r2_analoaf(A, B, E, B, F) &  (r2_analoaf(A, B, G, B, H) &  (r2_analoaf(A, C, E, D, F) & r2_analoaf(A, C, G, D, H)) ) ) )  =>  (r2_analoaf(A, B, C, B, E) |  (r2_analoaf(A, B, C, B, G) | r2_analoaf(A, E, G, F, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_analoaf(A, B, C, D, E) &  (r2_analoaf(A, B, C, F, G) &  (r2_analoaf(A, B, D, C, E) & r2_analoaf(A, B, F, C, G)) ) )  =>  (r2_analoaf(A, B, C, B, D) |  (r2_analoaf(A, B, C, B, F) | r2_analoaf(A, D, F, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_analoaf(A, B, C, B, D) &  (r2_analoaf(A, E, F, E, G) &  (r2_analoaf(A, B, F, C, E) & r2_analoaf(A, C, G, D, F)) ) )  => r2_analoaf(A, D, E, B, G)) ) ) ) ) ) ) ) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (r2_analoaf(A, B, C, B, D))  &  (r2_analoaf(A, B, C, D, E) &  (r2_analoaf(A, B, D, C, E) & r2_analoaf(A, B, E, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_pardepap, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v1_diraf(A) &  (v2_diraf(A) & l1_analoaf(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r2_analoaf(A, B, C, B, D) &  ~ ( (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (r2_analoaf(A, B, D, B, E) &  ~ ( (r2_analoaf(A, B, F, B, G) & r2_analoaf(A, D, F, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_parsp_1, axiom,  (? [A] :  (l1_parsp_1(A) & v1_parsp_1(A)) ) ).
fof(rc2_parsp_1, axiom,  (? [A] :  (l1_parsp_1(A) &  ~ (v2_struct_0(A)) ) ) ).
fof(fc1_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  ~ (v1_xboole_0(k5_parsp_1(A))) ) ) ).
fof(fc2_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  ~ (v1_xboole_0(k6_parsp_1(A))) ) ) ).
fof(fc3_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k9_parsp_1(A)))  & v1_parsp_1(k9_parsp_1(A))) ) ) ).
fof(rc3_parsp_1, axiom,  (? [A] :  (l1_parsp_1(A) &  ( ~ (v2_struct_0(A))  &  (v1_parsp_1(A) & v2_parsp_1(A)) ) ) ) ).
fof(d1_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)))))) )  =>  (B=k1_parsp_1(A) <=>  (! [C] :  (m1_subset_1(C, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) => k4_binop_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), B, C, D)=k4_domain_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), k3_rlvect_1(A, k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), C), k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), D)), k3_rlvect_1(A, k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), C), k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), D)), k3_rlvect_1(A, k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), C), k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), D)))) ) ) ) ) ) ) ) ) ).
fof(d2_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) => k2_parsp_1(A, B, C)=k4_binop_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), k1_parsp_1(A), B, C)) ) ) ) ) ) ).
fof(t1_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) => k2_parsp_1(A, B, C)=k4_domain_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), k3_rlvect_1(A, k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), B), k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), C)), k3_rlvect_1(A, k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), B), k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), C)), k3_rlvect_1(A, k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), B), k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), C)))) ) ) ) ) ) ).
fof(t2_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) => k2_parsp_1(A, k4_domain_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), B, C, D), k4_domain_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), E, F, G))=k4_domain_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), k3_rlvect_1(A, B, E), k3_rlvect_1(A, C, F), k3_rlvect_1(A, D, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)))))) )  =>  (B=k3_parsp_1(A) <=>  (! [C] :  (m1_subset_1(C, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) => k3_funct_2(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), B, C)=k4_domain_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), k4_algstr_0(A, k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), C)), k4_algstr_0(A, k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), C)), k4_algstr_0(A, k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), C)))) ) ) ) ) ) ) ).
fof(d4_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) => k4_parsp_1(A, B)=k3_funct_2(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), k3_parsp_1(A), B)) ) ) ) ).
fof(t3_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) => k4_parsp_1(A, B)=k4_domain_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), k4_algstr_0(A, k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), B)), k4_algstr_0(A, k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), B)), k4_algstr_0(A, k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), B)))) ) ) ) ).
fof(d6_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_parsp_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_parsp_1(A, B, C, D, E) <=> r2_tarski(k1_domain_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_domain_1(u1_struct_0(A), u1_struct_0(A), B, C), k1_domain_1(u1_struct_0(A), u1_struct_0(A), D, E)), u1_parsp_1(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  => k5_parsp_1(A)=k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) ) ).
fof(d8_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  => k6_parsp_1(A)=k2_zfmisc_1(k2_zfmisc_1(k5_parsp_1(A), k5_parsp_1(A)), k2_zfmisc_1(k5_parsp_1(A), k5_parsp_1(A)))) ) ).
fof(d9_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (B=k7_parsp_1(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  (r2_hidden(C, k6_parsp_1(A)) &  (? [D] :  (m1_subset_1(D, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) &  (? [E] :  (m1_subset_1(E, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) &  (? [F] :  (m1_subset_1(F, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) &  (? [G] :  (m1_subset_1(G, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) &  (C=k1_domain_1(k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))), k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))), k1_domain_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), D, E), k1_domain_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), F, G)) &  (k5_algstr_0(A, k8_group_1(A, k5_algstr_0(A, k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), D), k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), E)), k5_algstr_0(A, k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), F), k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), G))), k8_group_1(A, k5_algstr_0(A, k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), F), k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), G)), k5_algstr_0(A, k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), D), k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), E))))=k4_struct_0(A) &  (k5_algstr_0(A, k8_group_1(A, k5_algstr_0(A, k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), D), k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), E)), k5_algstr_0(A, k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), F), k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), G))), k8_group_1(A, k5_algstr_0(A, k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), F), k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), G)), k5_algstr_0(A, k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), D), k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), E))))=k4_struct_0(A) & k5_algstr_0(A, k8_group_1(A, k5_algstr_0(A, k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), D), k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), E)), k5_algstr_0(A, k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), F), k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), G))), k8_group_1(A, k5_algstr_0(A, k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), F), k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), G)), k5_algstr_0(A, k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), D), k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), E))))=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  => r1_tarski(k7_parsp_1(A), k2_zfmisc_1(k2_zfmisc_1(k5_parsp_1(A), k5_parsp_1(A)), k2_zfmisc_1(k5_parsp_1(A), k5_parsp_1(A))))) ) ).
fof(d10_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  => k8_parsp_1(A)=k7_parsp_1(A)) ) ).
fof(d11_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  => k9_parsp_1(A)=g1_parsp_1(k5_parsp_1(A), k8_parsp_1(A))) ) ).
fof(t5_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  => u1_struct_0(k9_parsp_1(A))=k5_parsp_1(A)) ) ).
fof(t6_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  => u1_parsp_1(k9_parsp_1(A))=k8_parsp_1(A)) ) ).
fof(t7_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_parsp_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_parsp_1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_parsp_1(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_parsp_1(A))) =>  (r1_parsp_1(k9_parsp_1(A), B, C, D, E) <=> r2_tarski(k1_domain_1(k2_zfmisc_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A))), k2_zfmisc_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A))), k1_domain_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A)), B, C), k1_domain_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A)), D, E)), k8_parsp_1(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_parsp_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_parsp_1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_parsp_1(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_parsp_1(A))) =>  (r2_tarski(k1_domain_1(k2_zfmisc_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A))), k2_zfmisc_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A))), k1_domain_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A)), B, C), k1_domain_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A)), D, E)), k8_parsp_1(A)) <=>  (r2_tarski(k1_domain_1(k2_zfmisc_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A))), k2_zfmisc_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A))), k1_domain_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A)), B, C), k1_domain_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A)), D, E)), k6_parsp_1(A)) &  (? [F] :  (m1_subset_1(F, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) &  (? [G] :  (m1_subset_1(G, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) &  (? [H] :  (m1_subset_1(H, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) &  (? [I] :  (m1_subset_1(I, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) &  (k1_domain_1(k2_zfmisc_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A))), k2_zfmisc_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A))), k1_domain_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A)), B, C), k1_domain_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A)), D, E))=k1_domain_1(k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))), k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))), k1_domain_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), F, G), k1_domain_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), H, I)) &  (k5_algstr_0(A, k8_group_1(A, k5_algstr_0(A, k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), F), k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), G)), k5_algstr_0(A, k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), H), k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), I))), k8_group_1(A, k5_algstr_0(A, k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), H), k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), I)), k5_algstr_0(A, k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), F), k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), G))))=k4_struct_0(A) &  (k5_algstr_0(A, k8_group_1(A, k5_algstr_0(A, k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), F), k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), G)), k5_algstr_0(A, k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), H), k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), I))), k8_group_1(A, k5_algstr_0(A, k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), H), k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), I)), k5_algstr_0(A, k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), F), k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), G))))=k4_struct_0(A) & k5_algstr_0(A, k8_group_1(A, k5_algstr_0(A, k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), F), k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), G)), k5_algstr_0(A, k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), H), k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), I))), k8_group_1(A, k5_algstr_0(A, k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), H), k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), I)), k5_algstr_0(A, k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), F), k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), G))))=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_parsp_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_parsp_1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_parsp_1(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_parsp_1(A))) =>  (r1_parsp_1(k9_parsp_1(A), B, C, D, E) <=>  (r2_tarski(k1_domain_1(k2_zfmisc_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A))), k2_zfmisc_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A))), k1_domain_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A)), B, C), k1_domain_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A)), D, E)), k6_parsp_1(A)) &  (? [F] :  (m1_subset_1(F, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) &  (? [G] :  (m1_subset_1(G, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) &  (? [H] :  (m1_subset_1(H, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) &  (? [I] :  (m1_subset_1(I, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) &  (k1_domain_1(k2_zfmisc_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A))), k2_zfmisc_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A))), k1_domain_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A)), B, C), k1_domain_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A)), D, E))=k1_domain_1(k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))), k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))), k1_domain_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), F, G), k1_domain_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), H, I)) &  (k5_algstr_0(A, k8_group_1(A, k5_algstr_0(A, k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), F), k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), G)), k5_algstr_0(A, k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), H), k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), I))), k8_group_1(A, k5_algstr_0(A, k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), H), k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), I)), k5_algstr_0(A, k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), F), k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), G))))=k4_struct_0(A) &  (k5_algstr_0(A, k8_group_1(A, k5_algstr_0(A, k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), F), k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), G)), k5_algstr_0(A, k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), H), k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), I))), k8_group_1(A, k5_algstr_0(A, k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), H), k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), I)), k5_algstr_0(A, k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), F), k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), G))))=k4_struct_0(A) & k5_algstr_0(A, k8_group_1(A, k5_algstr_0(A, k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), F), k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), G)), k5_algstr_0(A, k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), H), k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), I))), k8_group_1(A, k5_algstr_0(A, k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), H), k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), I)), k5_algstr_0(A, k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), F), k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), G))))=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  => u1_struct_0(k9_parsp_1(A))=k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) ) ).
fof(t11_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_parsp_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_parsp_1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_parsp_1(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_parsp_1(A))) => r2_tarski(k1_domain_1(k2_zfmisc_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A))), k2_zfmisc_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A))), k1_domain_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A)), B, C), k1_domain_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A)), D, E)), k6_parsp_1(A))) ) ) ) ) ) ) ) ) ) ).
fof(t12_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_parsp_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_parsp_1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_parsp_1(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_parsp_1(A))) =>  (r1_parsp_1(k9_parsp_1(A), B, C, D, E) <=>  (? [F] :  (m1_subset_1(F, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) &  (? [G] :  (m1_subset_1(G, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) &  (? [H] :  (m1_subset_1(H, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) &  (? [I] :  (m1_subset_1(I, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) &  (k1_domain_1(k2_zfmisc_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A))), k2_zfmisc_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A))), k1_domain_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A)), B, C), k1_domain_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A)), D, E))=k1_domain_1(k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))), k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))), k1_domain_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), F, G), k1_domain_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), H, I)) &  (k5_algstr_0(A, k8_group_1(A, k5_algstr_0(A, k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), F), k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), G)), k5_algstr_0(A, k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), H), k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), I))), k8_group_1(A, k5_algstr_0(A, k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), H), k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), I)), k5_algstr_0(A, k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), F), k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), G))))=k4_struct_0(A) &  (k5_algstr_0(A, k8_group_1(A, k5_algstr_0(A, k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), F), k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), G)), k5_algstr_0(A, k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), H), k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), I))), k8_group_1(A, k5_algstr_0(A, k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), H), k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), I)), k5_algstr_0(A, k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), F), k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), G))))=k4_struct_0(A) & k5_algstr_0(A, k8_group_1(A, k5_algstr_0(A, k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), F), k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), G)), k5_algstr_0(A, k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), H), k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), I))), k8_group_1(A, k5_algstr_0(A, k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), H), k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), I)), k5_algstr_0(A, k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), F), k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), G))))=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_parsp_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_parsp_1(A))) => r1_parsp_1(k9_parsp_1(A), B, C, C, B)) ) ) ) ) ) ).
fof(t14_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_parsp_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_parsp_1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_parsp_1(A))) => r1_parsp_1(k9_parsp_1(A), B, C, D, D)) ) ) ) ) ) ) ) ).
fof(t15_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_parsp_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_parsp_1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_parsp_1(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_parsp_1(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k9_parsp_1(A))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k9_parsp_1(A))) =>  ~ ( (r1_parsp_1(k9_parsp_1(A), B, C, D, E) &  (r1_parsp_1(k9_parsp_1(A), B, C, F, G) &  ( ~ (r1_parsp_1(k9_parsp_1(A), D, E, F, G))  &  ~ (B=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_parsp_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_parsp_1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_parsp_1(A))) =>  (r1_parsp_1(k9_parsp_1(A), B, C, B, D) => r1_parsp_1(k9_parsp_1(A), C, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t17_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_parsp_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_parsp_1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_parsp_1(A))) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(k9_parsp_1(A))) &  (r1_parsp_1(k9_parsp_1(A), B, C, D, E) & r1_parsp_1(k9_parsp_1(A), B, D, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_parsp_1(A))  =>  (v2_parsp_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (r1_parsp_1(A, B, C, C, B) &  (r1_parsp_1(A, B, C, D, D) &  ( ~ ( (r1_parsp_1(A, B, C, F, G) &  (r1_parsp_1(A, B, C, H, I) &  ( ~ (r1_parsp_1(A, F, G, H, I))  &  ~ (B=C) ) ) ) )  &  ( (r1_parsp_1(A, B, C, B, D) => r1_parsp_1(A, C, B, C, D))  &  (? [J] :  (m1_subset_1(J, u1_struct_0(A)) &  (r1_parsp_1(A, B, C, D, J) & r1_parsp_1(A, B, D, C, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) & l1_parsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_parsp_1(A, B, C, B, C)) ) ) ) ) ) ).
fof(t19_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) & l1_parsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_parsp_1(A, B, C, D, E) => r1_parsp_1(A, D, E, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) & l1_parsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_parsp_1(A, B, B, C, D)) ) ) ) ) ) ) ) ).
fof(t21_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) & l1_parsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_parsp_1(A, B, C, D, E) => r1_parsp_1(A, C, B, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) & l1_parsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_parsp_1(A, B, C, D, E) => r1_parsp_1(A, B, C, E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) & l1_parsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_parsp_1(A, B, C, D, E) =>  (r1_parsp_1(A, C, B, D, E) &  (r1_parsp_1(A, B, C, E, D) &  (r1_parsp_1(A, C, B, E, D) &  (r1_parsp_1(A, D, E, B, C) &  (r1_parsp_1(A, E, D, B, C) &  (r1_parsp_1(A, D, E, C, B) & r1_parsp_1(A, E, D, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) & l1_parsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_parsp_1(A, B, C, B, D) =>  (r1_parsp_1(A, B, D, B, C) &  (r1_parsp_1(A, C, B, B, D) &  (r1_parsp_1(A, B, C, D, B) &  (r1_parsp_1(A, B, D, C, B) &  (r1_parsp_1(A, C, B, D, B) &  (r1_parsp_1(A, D, B, B, C) &  (r1_parsp_1(A, D, B, C, B) &  (r1_parsp_1(A, C, B, C, D) &  (r1_parsp_1(A, B, C, C, D) &  (r1_parsp_1(A, C, B, D, C) &  (r1_parsp_1(A, C, D, C, B) &  (r1_parsp_1(A, B, C, D, C) &  (r1_parsp_1(A, D, C, C, B) &  (r1_parsp_1(A, C, D, B, C) &  (r1_parsp_1(A, D, C, B, C) &  (r1_parsp_1(A, D, B, D, C) &  (r1_parsp_1(A, B, D, D, C) &  (r1_parsp_1(A, D, B, C, D) &  (r1_parsp_1(A, B, D, C, D) &  (r1_parsp_1(A, D, C, D, B) &  (r1_parsp_1(A, C, D, D, B) &  (r1_parsp_1(A, D, C, B, D) & r1_parsp_1(A, C, D, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) & l1_parsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( ~ ( ( ~ (B=C)  &  ( ~ (D=E)  &  ( ~ ( (B=D & C=E) )  &  ~ ( (B=E & C=D) ) ) ) ) )  => r1_parsp_1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) & l1_parsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r1_parsp_1(A, D, E, B, C) & r1_parsp_1(A, B, C, F, G))  =>  (B=C | r1_parsp_1(A, D, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) & l1_parsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ~ (r1_parsp_1(A, B, C, B, D))  =>  ( ~ (B=C)  &  ( ~ (C=D)  &  ~ (D=B) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) & l1_parsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( ~ (r1_parsp_1(A, B, C, D, E))  =>  ( ~ (B=C)  &  ~ (D=E) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) & l1_parsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ~ (r1_parsp_1(A, B, C, B, D))  =>  ( ~ (r1_parsp_1(A, B, D, B, C))  &  ( ~ (r1_parsp_1(A, C, B, B, D))  &  ( ~ (r1_parsp_1(A, B, C, D, B))  &  ( ~ (r1_parsp_1(A, B, D, C, B))  &  ( ~ (r1_parsp_1(A, C, B, D, B))  &  ( ~ (r1_parsp_1(A, D, B, B, C))  &  ( ~ (r1_parsp_1(A, D, B, C, B))  &  ( ~ (r1_parsp_1(A, C, B, C, D))  &  ( ~ (r1_parsp_1(A, B, C, C, D))  &  ( ~ (r1_parsp_1(A, C, B, D, C))  &  ( ~ (r1_parsp_1(A, C, D, C, B))  &  ( ~ (r1_parsp_1(A, C, B, D, C))  &  ( ~ (r1_parsp_1(A, D, C, C, B))  &  ( ~ (r1_parsp_1(A, C, D, B, C))  &  ( ~ (r1_parsp_1(A, D, C, B, C))  &  ( ~ (r1_parsp_1(A, D, B, D, C))  &  ( ~ (r1_parsp_1(A, B, D, D, C))  &  ( ~ (r1_parsp_1(A, D, B, C, D))  &  ( ~ (r1_parsp_1(A, B, D, C, D))  &  ( ~ (r1_parsp_1(A, D, C, D, B))  &  ( ~ (r1_parsp_1(A, C, D, D, B))  &  ( ~ (r1_parsp_1(A, D, C, B, D))  &  ~ (r1_parsp_1(A, C, D, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) & l1_parsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  ~ ( ( ~ (r1_parsp_1(A, B, C, D, E))  &  (r1_parsp_1(A, B, C, F, G) &  (r1_parsp_1(A, D, E, H, I) &  ( ~ (F=G)  &  ( ~ (H=I)  & r1_parsp_1(A, F, G, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) & l1_parsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( ( ~ (r1_parsp_1(A, B, C, B, D))  &  (r1_parsp_1(A, B, C, E, F) &  (r1_parsp_1(A, B, D, E, G) &  (r1_parsp_1(A, C, D, F, G) &  ( ~ (E=F)  & r1_parsp_1(A, E, F, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) & l1_parsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r1_parsp_1(A, B, D, E, F) & r1_parsp_1(A, C, D, E, F))  =>  (r1_parsp_1(A, B, C, B, D) | E=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) & l1_parsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_parsp_1(A, B, D, B, E) & r1_parsp_1(A, C, D, C, E))  =>  (r1_parsp_1(A, B, C, B, D) | D=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) & l1_parsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ( (r1_parsp_1(A, B, C, E, F) &  (r1_parsp_1(A, B, D, E, G) &  (r1_parsp_1(A, B, D, E, H) &  (r1_parsp_1(A, C, D, F, G) & r1_parsp_1(A, C, D, F, H)) ) ) )  =>  (r1_parsp_1(A, B, C, B, D) | G=H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) & l1_parsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_parsp_1(A, B, C, B, D) & r1_parsp_1(A, B, C, B, E))  => r1_parsp_1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) & l1_parsp_1(A)) )  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => B=C) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => r1_parsp_1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) & l1_parsp_1(A)) )  =>  ( (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  ( ~ (B=C)  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_parsp_1(A, B, C, B, D)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => r1_parsp_1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) & l1_parsp_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( ( ~ (r1_parsp_1(A, B, C, B, D))  &  ( ~ (E=F)  &  (r1_parsp_1(A, E, F, E, B) &  (r1_parsp_1(A, E, F, E, C) & r1_parsp_1(A, E, F, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k1_parsp_1(A)) &  (v1_funct_2(k1_parsp_1(A), k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) & m1_subset_1(k1_parsp_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)))))) ) ) ) ).
fof(dt_k2_parsp_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) & m1_subset_1(C, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)))) )  => m1_subset_1(k2_parsp_1(A, B, C), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)))) ) ).
fof(dt_k3_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k3_parsp_1(A)) &  (v1_funct_2(k3_parsp_1(A), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) & m1_subset_1(k3_parsp_1(A), k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)))))) ) ) ) ).
fof(dt_k4_parsp_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))))  => m1_subset_1(k4_parsp_1(A, B), k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A)))) ) ).
fof(abstractness_v1_parsp_1, axiom,  (! [A] :  (l1_parsp_1(A) =>  (v1_parsp_1(A) => A=g1_parsp_1(u1_struct_0(A), u1_parsp_1(A))) ) ) ).
fof(dt_l1_parsp_1, axiom,  (! [A] :  (l1_parsp_1(A) => l1_struct_0(A)) ) ).
fof(existence_l1_parsp_1, axiom,  (? [A] : l1_parsp_1(A)) ).
fof(dt_g1_parsp_1, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k2_zfmisc_1(A, A)))) =>  (v1_parsp_1(g1_parsp_1(A, B)) & l1_parsp_1(g1_parsp_1(A, B))) ) ) ).
fof(free_g1_parsp_1, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k2_zfmisc_1(A, A)))) =>  (! [C, D] :  (g1_parsp_1(A, B)=g1_parsp_1(C, D) =>  (A=C & B=D) ) ) ) ) ).
fof(dt_u1_parsp_1, axiom,  (! [A] :  (l1_parsp_1(A) => m1_subset_1(u1_parsp_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))))) ) ).
fof(dt_k8_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  => m1_subset_1(k8_parsp_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k5_parsp_1(A), k5_parsp_1(A)), k2_zfmisc_1(k5_parsp_1(A), k5_parsp_1(A)))))) ) ).
fof(dt_k9_parsp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  => l1_parsp_1(k9_parsp_1(A))) ) ).
fof(rc1_parsp_2, axiom,  (? [A] :  (l1_parsp_1(A) &  ( ~ (v2_struct_0(A))  &  (v1_parsp_1(A) &  (v2_parsp_1(A) & v1_parsp_2(A)) ) ) ) ) ).
fof(t1_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k9_parsp_1(A)))  &  (v2_parsp_1(k9_parsp_1(A)) & l1_parsp_1(k9_parsp_1(A))) ) ) ) ).
fof(t2_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_parsp_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_parsp_1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_parsp_1(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_parsp_1(A))) =>  (r1_parsp_1(k9_parsp_1(A), B, C, D, E) <=>  (? [F] :  (m1_subset_1(F, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) &  (? [G] :  (m1_subset_1(G, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) &  (? [H] :  (m1_subset_1(H, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) &  (? [I] :  (m1_subset_1(I, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) &  (k4_tarski(k1_domain_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A)), B, C), k1_domain_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A)), D, E))=k4_tarski(k4_tarski(F, G), k4_tarski(H, I)) &  ~ ( ( (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  ~ ( (k8_group_1(A, J, k5_algstr_0(A, k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), F), k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), G)))=k5_algstr_0(A, k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), H), k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), I)) &  (k8_group_1(A, J, k5_algstr_0(A, k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), F), k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), G)))=k5_algstr_0(A, k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), H), k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), I)) & k8_group_1(A, J, k5_algstr_0(A, k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), F), k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), G)))=k5_algstr_0(A, k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), H), k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), I))) ) ) ) )  &  ~ ( (k5_algstr_0(A, k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), F), k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), G))=k4_struct_0(A) &  (k5_algstr_0(A, k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), F), k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), G))=k4_struct_0(A) & k5_algstr_0(A, k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), F), k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), G))=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_parsp_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_parsp_1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_parsp_1(A))) =>  (! [E] :  (m1_subset_1(E, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) =>  (! [F] :  (m1_subset_1(F, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) =>  (! [G] :  (m1_subset_1(G, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) =>  (k4_tarski(k1_domain_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A)), B, C), k1_domain_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A)), B, D))=k4_tarski(k4_tarski(E, F), k4_tarski(E, G)) =>  (r1_parsp_1(k9_parsp_1(A), B, C, B, D) |  ( ~ (E=F)  &  ( ~ (E=G)  &  ~ (F=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_parsp_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_parsp_1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_parsp_1(A))) =>  (! [E] :  (m1_subset_1(E, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) =>  (! [F] :  (m1_subset_1(F, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) =>  (! [G] :  (m1_subset_1(G, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  ( (k4_tarski(k1_domain_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A)), B, C), k1_domain_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A)), B, D))=k4_tarski(k4_tarski(E, F), k4_tarski(E, G)) &  (k8_group_1(A, H, k5_algstr_0(A, k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), E), k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), F)))=k8_group_1(A, I, k5_algstr_0(A, k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), E), k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), G))) &  (k8_group_1(A, H, k5_algstr_0(A, k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), E), k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), F)))=k8_group_1(A, I, k5_algstr_0(A, k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), E), k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), G))) & k8_group_1(A, H, k5_algstr_0(A, k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), E), k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), F)))=k8_group_1(A, I, k5_algstr_0(A, k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), E), k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), G)))) ) )  =>  (r1_parsp_1(k9_parsp_1(A), B, C, B, D) |  (H=k4_struct_0(A) & I=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_parsp_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_parsp_1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_parsp_1(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_parsp_1(A))) =>  (! [F] :  (m1_subset_1(F, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) =>  (! [G] :  (m1_subset_1(G, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) =>  (! [H] :  (m1_subset_1(H, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) =>  (! [I] :  (m1_subset_1(I, k3_zfmisc_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A))) =>  ( (r1_parsp_1(k9_parsp_1(A), B, C, D, E) &  (r1_parsp_1(k9_parsp_1(A), B, D, C, E) & k4_tarski(k1_domain_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A)), B, C), k1_domain_1(u1_struct_0(k9_parsp_1(A)), u1_struct_0(k9_parsp_1(A)), D, E))=k4_tarski(k4_tarski(F, G), k4_tarski(H, I))) )  =>  (r1_parsp_1(k9_parsp_1(A), B, C, B, D) |  (k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), I)=k5_algstr_0(A, k3_rlvect_1(A, k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), G), k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), H)), k1_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), F)) &  (k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), I)=k5_algstr_0(A, k3_rlvect_1(A, k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), G), k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), H)), k2_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), F)) & k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), I)=k5_algstr_0(A, k3_rlvect_1(A, k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), G), k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), H)), k3_mcart_1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  ~ ( (! [B] :  (m1_subset_1(B, u1_struct_0(k9_parsp_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_parsp_1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_parsp_1(A))) => r1_parsp_1(k9_parsp_1(A), B, C, B, D)) ) ) ) ) ) ) ) ) ).
fof(t7_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_parsp_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_parsp_1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_parsp_1(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_parsp_1(A))) =>  ( (r1_parsp_1(k9_parsp_1(A), C, D, B, E) &  (r1_parsp_1(k9_parsp_1(A), B, C, D, E) & r1_parsp_1(k9_parsp_1(A), B, D, C, E)) )  =>  (k3_rlvect_1(A, k1_group_1(A), k1_group_1(A))=k4_struct_0(A) | r1_parsp_1(k9_parsp_1(A), B, C, B, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k9_parsp_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k9_parsp_1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k9_parsp_1(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k9_parsp_1(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k9_parsp_1(A))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k9_parsp_1(A))) =>  ( (r1_parsp_1(k9_parsp_1(A), B, E, C, F) &  (r1_parsp_1(k9_parsp_1(A), B, E, D, G) &  (r1_parsp_1(k9_parsp_1(A), B, C, E, F) & r1_parsp_1(k9_parsp_1(A), B, D, E, G)) ) )  =>  (r1_parsp_1(k9_parsp_1(A), B, E, B, C) |  (r1_parsp_1(k9_parsp_1(A), B, E, B, D) | r1_parsp_1(k9_parsp_1(A), C, D, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) & l1_parsp_1(A)) )  =>  (v1_parsp_2(A) <=>  ( ~ ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_parsp_1(A, B, C, B, D)) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_parsp_1(A, C, D, B, E) &  (r1_parsp_1(A, B, C, D, E) & r1_parsp_1(A, B, D, C, E)) )  => r1_parsp_1(A, B, C, B, D)) ) ) ) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r1_parsp_1(A, B, E, C, F) &  (r1_parsp_1(A, B, E, D, G) &  (r1_parsp_1(A, B, C, E, F) & r1_parsp_1(A, B, D, E, G)) ) )  =>  (r1_parsp_1(A, B, E, B, C) |  (r1_parsp_1(A, B, E, B, D) | r1_parsp_1(A, C, D, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_parsp_1(A, B, C, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(d2_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_parsp_2(A, B, C, D) <=> r1_parsp_1(A, B, C, B, D)) ) ) ) ) ) ) ) ) ).
fof(t10_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_parsp_2(A, B, C, D) =>  (r1_parsp_2(A, B, D, C) &  (r1_parsp_2(A, D, C, B) &  (r1_parsp_2(A, C, B, D) &  (r1_parsp_2(A, C, D, B) & r1_parsp_2(A, D, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( ( ~ (r1_parsp_2(A, B, C, D))  &  (r1_parsp_1(A, B, C, E, F) &  (r1_parsp_1(A, B, D, E, G) &  ( ~ (E=F)  &  ( ~ (E=G)  & r1_parsp_2(A, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ~ ( ( ~ (B=C)  &  ( ~ (C=D)  &  ~ (D=B) ) ) )  => r1_parsp_2(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t13_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r1_parsp_2(A, B, C, D) &  (r1_parsp_2(A, B, C, E) & r1_parsp_2(A, B, C, F)) )  =>  (B=C | r1_parsp_2(A, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_parsp_2(A, B, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t15_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_parsp_2(A, B, C, D) & r1_parsp_2(A, B, C, E))  => r1_parsp_1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (r1_parsp_2(A, B, C, D))  &  (r1_parsp_1(A, B, C, D, E) & r1_parsp_2(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( ( ~ (r1_parsp_2(A, B, C, D))  &  (r1_parsp_1(A, B, C, D, E) &  ( ~ (D=E)  &  (r1_parsp_2(A, B, C, F) & r1_parsp_2(A, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (r1_parsp_2(A, D, B, C))  &  (r1_parsp_2(A, D, B, E) &  (r1_parsp_2(A, D, C, E) &  ~ (D=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r1_parsp_2(A, F, B, C) &  (r1_parsp_2(A, F, B, D) & r1_parsp_2(A, F, C, E)) )  =>  (F=B |  (F=C | r1_parsp_1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r1_parsp_2(A, B, C, F) &  (r1_parsp_2(A, B, C, G) &  (r1_parsp_2(A, D, E, F) & r1_parsp_2(A, D, E, G)) ) )  =>  (r1_parsp_1(A, B, C, D, E) | F=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_parsp_2(A, B, C, D) & r1_parsp_1(A, B, C, D, E))  =>  (B=C | r1_parsp_1(A, B, D, C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_parsp_2(A, B, C, D) & r1_parsp_1(A, B, C, D, E))  =>  (B=C | r1_parsp_1(A, D, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r1_parsp_2(A, G, B, C) &  (r1_parsp_2(A, G, D, E) &  (r1_parsp_2(A, G, D, F) &  (r1_parsp_1(A, B, D, C, E) & r1_parsp_1(A, B, D, C, F)) ) ) )  =>  (r1_parsp_2(A, G, B, D) | E=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_parsp_2(A, B, C, D) & r1_parsp_2(A, B, C, E))  =>  (B=C | r1_parsp_2(A, B, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_parsp_2(A, B, C, D) & r1_parsp_2(A, B, D, E))  =>  (B=D | r1_parsp_2(A, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_parsp_2(A, B, C, D, E) <=>  ( ~ (r1_parsp_2(A, B, C, D))  &  (r1_parsp_1(A, B, C, D, E) & r1_parsp_1(A, B, D, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_parsp_2(A, B, C, D, E) =>  ( ~ (B=C)  &  ( ~ (C=D)  &  ( ~ (D=B)  &  ( ~ (B=E)  &  ( ~ (C=E)  &  ~ (D=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_parsp_2(A, B, C, D, E) =>  ( ~ (r1_parsp_2(A, B, C, D))  &  ( ~ (r1_parsp_2(A, C, B, E))  &  ( ~ (r1_parsp_2(A, D, E, B))  &  ~ (r1_parsp_2(A, E, D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_parsp_2(A, B, C, D, E) =>  ( ~ (r1_parsp_2(A, B, C, D))  &  ( ~ (r1_parsp_2(A, C, B, E))  &  ( ~ (r1_parsp_2(A, D, E, B))  &  ( ~ (r1_parsp_2(A, E, D, C))  &  ( ~ (r1_parsp_2(A, B, D, C))  &  ( ~ (r1_parsp_2(A, C, B, D))  &  ( ~ (r1_parsp_2(A, C, D, B))  &  ( ~ (r1_parsp_2(A, D, B, C))  &  ( ~ (r1_parsp_2(A, D, C, B))  &  ( ~ (r1_parsp_2(A, C, E, B))  &  ( ~ (r1_parsp_2(A, B, C, E))  &  ( ~ (r1_parsp_2(A, B, E, C))  &  ( ~ (r1_parsp_2(A, E, B, C))  &  ( ~ (r1_parsp_2(A, E, C, B))  &  ( ~ (r1_parsp_2(A, D, B, E))  &  ( ~ (r1_parsp_2(A, B, D, E))  &  ( ~ (r1_parsp_2(A, B, E, D))  &  ( ~ (r1_parsp_2(A, E, B, D))  &  ( ~ (r1_parsp_2(A, E, D, B))  &  ( ~ (r1_parsp_2(A, E, C, D))  &  ( ~ (r1_parsp_2(A, C, D, E))  &  ( ~ (r1_parsp_2(A, C, E, D))  &  ( ~ (r1_parsp_2(A, D, C, E))  &  ~ (r1_parsp_2(A, D, E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r2_parsp_2(A, B, C, D, E) &  (r1_parsp_2(A, B, C, F) & r1_parsp_2(A, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_parsp_2(A, B, C, D, E) => r2_parsp_2(A, B, D, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_parsp_2(A, B, C, D, E) => r2_parsp_2(A, D, E, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_parsp_2(A, B, C, D, E) => r2_parsp_2(A, C, B, E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_parsp_2(A, B, C, D, E) =>  (r2_parsp_2(A, B, D, C, E) &  (r2_parsp_2(A, D, E, B, C) &  (r2_parsp_2(A, C, B, E, D) &  (r2_parsp_2(A, D, B, E, C) &  (r2_parsp_2(A, E, C, D, B) &  (r2_parsp_2(A, C, E, B, D) & r2_parsp_2(A, E, D, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (r1_parsp_2(A, B, C, D))  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ (r2_parsp_2(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_parsp_2(A, B, C, D, E) & r2_parsp_2(A, B, C, D, F))  => E=F) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_parsp_2(A, B, C, D, E) & r1_parsp_1(A, B, E, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_parsp_2(A, B, C, D, E) & r2_parsp_2(A, B, C, E, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r1_parsp_2(A, B, C, D) &  ( ~ (D=B)  &  ~ (D=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_parsp_2(A, B, E, C, F) & r2_parsp_2(A, B, E, D, G))  => r1_parsp_1(A, C, D, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_parsp_2(A, B, E, C, F) & r2_parsp_2(A, B, E, D, G))  =>  (r1_parsp_2(A, C, F, D) | r2_parsp_2(A, C, F, D, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r1_parsp_2(A, B, C, D) &  (r2_parsp_2(A, B, E, C, F) & r2_parsp_2(A, B, E, D, G)) )  =>  (C=D | r2_parsp_2(A, C, F, D, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  ( (r2_parsp_2(A, B, F, C, G) &  (r2_parsp_2(A, B, F, D, H) & r2_parsp_2(A, C, G, E, I)) )  => r1_parsp_1(A, D, E, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ (r2_parsp_2(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ (r2_parsp_2(A, B, D, E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r3_parsp_2(A, B, C, D, E) <=>  ~ ( ( ~ ( (B=C & D=E) )  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( (r2_parsp_2(A, F, G, B, C) & r2_parsp_2(A, F, G, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r3_parsp_2(A, B, B, C, D) => C=D) ) ) ) ) ) ) ) ) ).
fof(t46_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r3_parsp_2(A, B, C, D, D) => B=C) ) ) ) ) ) ) ) ) ).
fof(t47_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_parsp_2(A, B, C, C, B) => B=C) ) ) ) ) ) ) ).
fof(t48_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r3_parsp_2(A, B, C, D, E) => r1_parsp_1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r3_parsp_2(A, B, C, D, E) => r1_parsp_1(A, B, D, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r3_parsp_2(A, B, C, D, E) =>  (r1_parsp_2(A, B, C, D) | r2_parsp_2(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_parsp_2(A, B, C, D, E) => r3_parsp_2(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r3_parsp_2(A, B, C, D, E) &  (r1_parsp_2(A, B, C, D) & r2_parsp_2(A, F, G, B, C)) )  => r2_parsp_2(A, F, G, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r3_parsp_2(A, B, C, D, E) & r3_parsp_2(A, B, C, D, F))  => E=F) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) & r3_parsp_2(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(t55_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r3_parsp_2(A, B, C, B, C)) ) ) ) ) ) ).
fof(t56_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r3_parsp_2(A, F, G, B, C) & r3_parsp_2(A, F, G, D, E))  => r3_parsp_2(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r3_parsp_2(A, B, C, D, E) => r3_parsp_2(A, D, E, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_parsp_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_parsp_1(A) &  (v1_parsp_2(A) & l1_parsp_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r3_parsp_2(A, B, C, D, E) => r3_parsp_2(A, C, B, E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_partfun1, axiom,  (! [A, B] :  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) & v1_funct_1(C)) ) ) ) ) ) ).
fof(cc1_partfun1, axiom,  (! [A, B] :  (v1_xboole_0(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_partfun1(C, A)) ) ) ) ).
fof(cc2_partfun1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ~ (v1_partfun1(C, A)) ) ) ) ) ).
fof(fc1_partfun1, axiom,  (! [A, B] :  ~ (v1_xboole_0(k4_partfun1(A, B))) ) ).
fof(fc2_partfun1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v1_xboole_0(B) &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  => v1_xboole_0(k5_partfun1(A, B, C))) ) ).
fof(rc2_partfun1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, A) &  (v1_relat_2(B) &  (v3_relat_2(B) &  (v4_relat_2(B) &  (v8_relat_2(B) & v1_partfun1(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(cc3_partfun1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v3_relat_2(A) & v8_relat_2(A)) )  =>  (v1_relat_1(A) & v1_relat_2(A)) ) ) ).
fof(fc3_partfun1, axiom,  (! [A] :  (v1_relat_1(k4_relat_1(A)) &  (v3_relat_2(k4_relat_1(A)) &  (v4_relat_2(k4_relat_1(A)) & v8_relat_2(k4_relat_1(A))) ) ) ) ).
fof(rc3_partfun1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) &  ~ (v1_xboole_0(C)) ) ) ) ) ) ) ) ) ).
fof(fc4_partfun1, axiom,  (! [A, B] : v4_funct_1(k4_partfun1(A, B))) ).
fof(t1_partfun1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (! [C] :  (r2_hidden(C, k3_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B))) => k1_funct_1(A, C)=k1_funct_1(B, C)) )  =>  (v1_relat_1(k2_xboole_0(A, B)) & v1_funct_1(k2_xboole_0(A, B))) ) ) ) ) ) ).
fof(t2_partfun1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (k2_xboole_0(A, B)=C =>  (! [D] :  (r2_hidden(D, k3_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B))) => k1_funct_1(A, D)=k1_funct_1(B, D)) ) ) ) ) ) ) ) ) ).
fof(t3_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C))))  =>  ~ ( (r2_hidden(A, k10_xtuple_0(D)) &  (! [E] :  (m1_subset_1(E, B) =>  ~ ( (r2_tarski(E, k1_relset_1(B, D)) & A=k1_funct_1(D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, B) & v1_funct_1(C)) )  =>  (r2_hidden(A, k9_xtuple_0(C)) => r2_tarski(k1_funct_1(C, A), B)) ) ) ) ) ).
fof(t5_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  ( (k1_relset_1(A, C)=k1_relset_1(A, D) &  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, k1_relset_1(A, C)) => k1_funct_1(C, E)=k1_funct_1(D, E)) ) ) )  => C=D) ) ) ) ) ) ) ).
fof(t6_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => k3_relat_1(k4_relat_1(A), C)=C) ) ) ) ).
fof(t7_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => k3_relat_1(C, k4_relat_1(B))=C) ) ) ) ).
fof(t8_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  ( (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  ( (r2_tarski(D, k1_relset_1(A, C)) &  (r2_tarski(E, k1_relset_1(A, C)) & k1_funct_1(C, D)=k1_funct_1(C, E)) )  => D=E) ) ) ) )  => v2_funct_1(C)) ) ) ) ) ).
fof(t9_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (v2_funct_1(C) =>  (v1_funct_1(k2_funct_1(C)) & m1_subset_1(k2_funct_1(C), k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) ) ) ) ).
fof(t10_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (v1_funct_1(k5_relset_1(A, B, D, C)) & m1_subset_1(k5_relset_1(A, B, D, C), k1_zfmisc_1(k2_zfmisc_1(C, B)))) ) ) ) ) ) ).
fof(t11_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (v1_funct_1(k5_relset_1(A, B, D, C)) & m1_subset_1(k5_relset_1(A, B, D, C), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ) ).
fof(t12_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (v1_funct_1(k6_relset_1(A, B, C, D)) & m1_subset_1(k6_relset_1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, C)))) ) ) ) ) ) ).
fof(t13_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (v1_funct_1(k6_relset_1(A, B, C, D)) & m1_subset_1(k6_relset_1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ) ).
fof(t14_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (v1_funct_1(k5_relat_1(k6_relat_1(B, C), A)) & m1_subset_1(k5_relat_1(k6_relat_1(B, C), A), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ).
fof(t15_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C))))  =>  ~ ( (r2_hidden(A, k7_relat_1(D, B)) &  (! [E] :  (m1_subset_1(E, B) =>  ~ ( (r2_tarski(E, k1_relset_1(B, D)) & A=k1_funct_1(D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_tarski(A), B))))  => r1_tarski(k10_xtuple_0(C), k1_tarski(k1_funct_1(C, A)))) ) ) ) ).
fof(t17_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_tarski(A), B))))  => v2_funct_1(C)) ) ) ) ).
fof(t18_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_tarski(A), C))))  => r1_tarski(k7_relat_1(D, B), k1_tarski(k1_funct_1(D, A)))) ) ) ) ) ).
fof(t19_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (k9_xtuple_0(D)=k1_tarski(A) &  (r2_hidden(A, B) & r2_tarski(k1_funct_1(D, A), C)) )  =>  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C)))) ) ) ) ) ) ) ).
fof(t20_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k1_tarski(B)))))  =>  (r2_hidden(A, k1_relset_1(C, D)) => k1_funct_1(D, A)=B) ) ) ) ) ) ).
fof(t21_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_tarski(A)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_tarski(A)))))  =>  (k1_relset_1(B, C)=k1_relset_1(B, D) => C=D) ) ) ) ) ) ) ).
fof(d1_partfun1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] : k3_partfun1(A, B, C)=k5_relat_1(k6_relat_1(C, A), B)) ) ) ) ).
fof(t22_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => r1_relset_1(A, B, k3_partfun1(C, A, B), C)) ) ) ) ).
fof(t23_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r1_tarski(k1_relset_1(A, k3_partfun1(C, A, B)), k9_xtuple_0(C)) & r1_tarski(k10_xtuple_0(k3_partfun1(C, A, B)), k10_xtuple_0(C))) ) ) ) ) ).
fof(t24_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r2_hidden(A, k1_relset_1(B, k3_partfun1(D, B, C))) <=>  (r2_hidden(A, k9_xtuple_0(D)) &  (r2_hidden(A, B) & r2_tarski(k1_funct_1(D, A), C)) ) ) ) ) ) ) ) ).
fof(t25_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (r2_hidden(A, k9_xtuple_0(D)) &  (r2_hidden(A, B) & r2_tarski(k1_funct_1(D, A), C)) )  => k1_funct_1(k3_partfun1(D, B, C), A)=k1_funct_1(D, A)) ) ) ) ) ) ).
fof(t26_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r2_hidden(A, k1_relset_1(B, k3_partfun1(D, B, C))) => k1_funct_1(k3_partfun1(D, B, C), A)=k1_funct_1(D, A)) ) ) ) ) ) ).
fof(t27_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r1_tarski(C, D) => r1_relset_1(A, B, k3_partfun1(C, A, B), k3_partfun1(D, A, B))) ) ) ) ) ) ) ).
fof(t28_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r1_tarski(C, A) => r1_relset_1(C, B, k3_partfun1(D, C, B), k3_partfun1(D, A, B))) ) ) ) ) ) ).
fof(t29_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r1_tarski(C, B) => r1_relset_1(A, C, k3_partfun1(D, A, C), k3_partfun1(D, A, B))) ) ) ) ) ) ).
fof(t30_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  ( (r1_tarski(A, B) & r1_tarski(C, D))  => r1_relset_1(A, C, k3_partfun1(E, A, C), k3_partfun1(E, B, D))) ) ) ) ) ) ) ).
fof(t31_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r1_tarski(k9_xtuple_0(C), A) & r1_tarski(k10_xtuple_0(C), B))  => C=k3_partfun1(C, A, B)) ) ) ) ) ).
fof(t32_partfun1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => A=k3_partfun1(A, k9_xtuple_0(A), k10_xtuple_0(A))) ) ).
fof(t33_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  => k3_partfun1(C, A, B)=C) ) ) ) ).
fof(t34_partfun1, axiom,  (! [A] :  (! [B] : k3_partfun1(k1_xboole_0, A, B)=k1_xboole_0) ) ).
fof(t35_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  => r1_relset_1(A, C, k1_partfun1(A, B, B, C, k3_partfun1(D, A, B), k3_partfun1(E, B, C)), k3_partfun1(k3_relat_1(D, E), A, C))) ) ) ) ) ) ) ).
fof(t36_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (r1_tarski(k3_xboole_0(k10_xtuple_0(D), k9_xtuple_0(E)), B) => k1_partfun1(A, B, B, C, k3_partfun1(D, A, B), k3_partfun1(E, B, C))=k3_partfun1(k3_relat_1(D, E), A, C)) ) ) ) ) ) ) ) ).
fof(t37_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (v2_funct_1(C) => v2_funct_1(k3_partfun1(C, A, B))) ) ) ) ) ).
fof(t38_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (v2_funct_1(C) => k2_funct_1(k3_partfun1(C, A, B))=k3_partfun1(k2_funct_1(C), B, A)) ) ) ) ) ).
fof(t39_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  => k6_relset_1(A, B, C, k3_partfun1(D, A, B))=k3_partfun1(D, A, k3_xboole_0(C, B))) ) ) ) ) ).
fof(d2_partfun1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  =>  (v1_partfun1(B, A) <=> k1_relset_1(A, B)=A) ) ) ) ).
fof(t40_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (v1_partfun1(k3_partfun1(C, A, B), A) => r1_tarski(A, k9_xtuple_0(C))) ) ) ) ) ).
fof(t41_partfun1, axiom,  (! [A] :  (! [B] :  (v1_partfun1(k3_partfun1(k1_xboole_0, A, B), A) => A=k1_xboole_0) ) ) ).
fof(t42_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r1_tarski(A, k9_xtuple_0(C)) & r1_tarski(k10_xtuple_0(C), B))  => v1_partfun1(k3_partfun1(C, A, B), A)) ) ) ) ) ).
fof(t43_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (v1_partfun1(k3_partfun1(C, A, B), A) => r1_tarski(k7_relat_1(C, A), B)) ) ) ) ) ).
fof(t44_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r1_tarski(A, k9_xtuple_0(C)) & r1_tarski(k7_relat_1(C, A), B))  => v1_partfun1(k3_partfun1(C, A, B), A)) ) ) ) ) ).
fof(d3_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  (C=k4_partfun1(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (? [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  &  (D=E &  (r1_tarski(k9_xtuple_0(E), A) & r1_tarski(k10_xtuple_0(E), B)) ) ) ) ) ) ) ) ) ) ).
fof(t45_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  => r2_tarski(C, k4_partfun1(A, B))) ) ) ) ).
fof(t46_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_tarski(C, k4_partfun1(A, B)) =>  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ).
fof(t47_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k4_partfun1(A, B)) =>  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ).
fof(t48_partfun1, axiom,  (! [A] : k4_partfun1(k1_xboole_0, A)=k1_tarski(k1_xboole_0)) ).
fof(t49_partfun1, axiom,  (! [A] : k4_partfun1(A, k1_xboole_0)=k1_tarski(k1_xboole_0)) ).
fof(t50_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (r1_tarski(A, B) & r1_tarski(C, D))  => r1_tarski(k4_partfun1(A, C), k4_partfun1(B, D))) ) ) ) ) ).
fof(d4_partfun1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_partfun1(A, B) <=>  (! [C] :  (r2_hidden(C, k3_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B))) => k1_funct_1(A, C)=k1_funct_1(B, C)) ) ) ) ) ) ) ).
fof(t51_partfun1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_partfun1(A, B) <=>  (v1_relat_1(k2_xboole_0(A, B)) & v1_funct_1(k2_xboole_0(A, B))) ) ) ) ) ) ).
fof(t52_partfun1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_partfun1(A, B) <=>  (? [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  &  (r1_tarski(A, C) & r1_tarski(B, C)) ) ) ) ) ) ) ) ).
fof(t53_partfun1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_tarski(k9_xtuple_0(A), k9_xtuple_0(B)) =>  (r1_partfun1(A, B) <=>  (! [C] :  (r2_hidden(C, k9_xtuple_0(A)) => k1_funct_1(A, C)=k1_funct_1(B, C)) ) ) ) ) ) ) ) ).
fof(t54_partfun1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_tarski(A, B) => r1_partfun1(A, B)) ) ) ) ) ).
fof(t55_partfun1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (k9_xtuple_0(A)=k9_xtuple_0(B) & r1_partfun1(A, B))  => A=B) ) ) ) ) ).
fof(t56_partfun1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)) => r1_partfun1(A, B)) ) ) ) ) ).
fof(t57_partfun1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r1_tarski(A, C) & r1_tarski(B, C))  => r1_partfun1(A, B)) ) ) ) ) ) ) ).
fof(t58_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  ( (r1_partfun1(C, E) & r1_relset_1(A, B, D, C))  => r1_partfun1(D, E)) ) ) ) ) ) ) ) ) ).
fof(t59_partfun1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => r1_partfun1(k1_xboole_0, A)) ) ).
fof(t60_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => r1_partfun1(k3_partfun1(k1_xboole_0, A, B), C)) ) ) ) ).
fof(t61_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_tarski(A)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_tarski(A)))))  => r1_partfun1(C, D)) ) ) ) ) ) ).
fof(t62_partfun1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => r1_partfun1(k5_relat_1(B, A), B)) ) ) ).
fof(t63_partfun1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => r1_partfun1(k6_relat_1(A, B), B)) ) ) ).
fof(t64_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => r1_partfun1(k5_relat_1(k6_relat_1(B, C), A), C)) ) ) ) ).
fof(t65_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  => r1_partfun1(k3_partfun1(C, A, B), C)) ) ) ) ).
fof(t66_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  ( (v1_partfun1(C, A) &  (v1_partfun1(D, A) & r1_partfun1(C, D)) )  => C=D) ) ) ) ) ) ) ).
fof(t67_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  ( (r1_partfun1(C, E) &  (r1_partfun1(D, E) & v1_partfun1(E, A)) )  => r1_partfun1(C, D)) ) ) ) ) ) ) ) ) ).
fof(t68_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  ~ ( ( (B=k1_xboole_0 => A=k1_xboole_0)  &  (r1_partfun1(C, D) &  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  ~ ( (v1_partfun1(E, A) &  (r1_partfun1(C, E) & r1_partfun1(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [D] :  (D=k5_partfun1(A, B, C) <=>  (! [E] :  (r2_hidden(E, D) <=>  (? [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B))))  &  (F=E &  (v1_partfun1(F, A) & r1_partfun1(C, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t69_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [D] :  (r2_tarski(D, k5_partfun1(A, B, C)) =>  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ) ) ).
fof(t70_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (r2_tarski(D, k5_partfun1(A, B, C)) => v1_partfun1(D, A)) ) ) ) ) ) ) ).
fof(t71_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r2_tarski(D, k5_partfun1(A, B, C)) => r1_partfun1(C, D)) ) ) ) ) ) ) ).
fof(t72_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (v1_partfun1(C, A) <=> k5_partfun1(A, B, C)=k1_tarski(C)) ) ) ) ) ).
fof(t73_partfun1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_xboole_0, A))))  => k5_partfun1(k1_xboole_0, A, B)=k1_tarski(B)) ) ) ).
fof(t74_partfun1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_xboole_0, A))))  => k5_partfun1(k1_xboole_0, A, B)=k1_tarski(k1_xboole_0)) ) ) ).
fof(t75_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  ( ~ (r1_xboole_0(k5_partfun1(A, B, C), k5_partfun1(A, B, D)))  => r1_partfun1(C, D)) ) ) ) ) ) ) ).
fof(t76_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  ~ ( ( (B=k1_xboole_0 => A=k1_xboole_0)  &  (r1_partfun1(C, D) & r1_xboole_0(k5_partfun1(A, B, C), k5_partfun1(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t77_partfun1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (! [D] :  (! [E] :  ( (r1_partfun1(A, B) &  (r2_hidden(k4_tarski(C, D), A) & r2_hidden(k4_tarski(C, E), B)) )  => D=E) ) ) ) ) ) ) ) ).
fof(t78_partfun1, axiom,  (! [A] :  ( (v4_funct_1(A) &  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r2_tarski(B, A) & r2_tarski(C, A))  => r1_partfun1(B, C)) ) ) ) ) )  =>  (v1_relat_1(k3_tarski(A)) & v1_funct_1(k3_tarski(A))) ) ) ).
fof(d6_partfun1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  =>  (! [C] :  (r2_hidden(C, k9_xtuple_0(B)) => k7_partfun1(A, B, C)=k1_funct_1(B, C)) ) ) ) ) ).
fof(t79_partfun1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r1_tarski(k10_xtuple_0(C), k9_xtuple_0(A)) &  (r1_tarski(k10_xtuple_0(C), k9_xtuple_0(B)) & r1_partfun1(A, B)) )  => k3_relat_1(C, A)=k3_relat_1(C, B)) ) ) ) ) ) ) ).
fof(t80_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, C) & v1_funct_1(D)) )  =>  (r2_hidden(A, k9_xtuple_0(k5_relat_1(D, B))) => k7_partfun1(C, k5_relat_1(D, B), A)=k7_partfun1(C, D, A)) ) ) ) ) ) ).
fof(t81_partfun1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (k1_funct_1(B, A)=k1_funct_1(C, A) => r1_partfun1(k5_relat_1(B, k1_tarski(A)), k5_relat_1(C, k1_tarski(A)))) ) ) ) ) ) ).
fof(t82_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (k1_funct_1(C, A)=k1_funct_1(D, A) & k1_funct_1(C, B)=k1_funct_1(D, B))  => r1_partfun1(k5_relat_1(C, k2_tarski(A, B)), k5_relat_1(D, k2_tarski(A, B)))) ) ) ) ) ) ) ).
fof(s1_partfun1, axiom,  (? [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  &  (k9_xtuple_0(A)=f1_s1_partfun1 &  (! [B] :  (r2_hidden(B, f1_s1_partfun1) =>  ( (p1_s1_partfun1(B) => k1_funct_1(A, B)=f2_s1_partfun1(B))  &  ( ~ (p1_s1_partfun1(B))  => k1_funct_1(A, B)=f3_s1_partfun1(B)) ) ) ) ) ) ) ).
fof(s2_partfun1, axiom,  ( ( (! [A] :  (! [B] :  ( (r2_hidden(A, f1_s2_partfun1) & p1_s2_partfun1(A, B))  => r2_hidden(B, f2_s2_partfun1)) ) )  &  (! [A] :  (! [B] :  (! [C] :  ( (r2_hidden(A, f1_s2_partfun1) &  (p1_s2_partfun1(A, B) & p1_s2_partfun1(A, C)) )  => B=C) ) ) ) )  =>  (? [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(f1_s2_partfun1, f2_s2_partfun1))))  &  ( (! [B] :  (r2_hidden(B, k1_relset_1(f1_s2_partfun1, A)) <=>  (r2_hidden(B, f1_s2_partfun1) &  (? [C] : p1_s2_partfun1(B, C)) ) ) )  &  (! [B] :  (r2_hidden(B, k1_relset_1(f1_s2_partfun1, A)) => p1_s2_partfun1(B, k1_funct_1(A, B))) ) ) ) ) ) ).
fof(s3_partfun1, axiom,  ( (! [A] :  (p1_s3_partfun1(A) => r2_hidden(f3_s3_partfun1(A), f2_s3_partfun1)) )  =>  (? [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(f1_s3_partfun1, f2_s3_partfun1))))  &  ( (! [B] :  (r2_hidden(B, k1_relset_1(f1_s3_partfun1, A)) <=>  (r2_hidden(B, f1_s3_partfun1) & p1_s3_partfun1(B)) ) )  &  (! [B] :  (r2_hidden(B, k1_relset_1(f1_s3_partfun1, A)) => k1_funct_1(A, B)=f3_s3_partfun1(B)) ) ) ) ) ) ).
fof(s4_partfun1, axiom,  (? [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  &  (k9_xtuple_0(A)=f1_s4_partfun1 &  (! [B] :  (m1_subset_1(B, f1_s4_partfun1) =>  ( (p1_s4_partfun1(B) => k1_funct_1(A, B)=f2_s4_partfun1(B))  &  ( ~ (p1_s4_partfun1(B))  => k1_funct_1(A, B)=f3_s4_partfun1(B)) ) ) ) ) ) ) ).
fof(s5_partfun1, axiom,  (? [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  &  (k9_xtuple_0(A)=f1_s5_partfun1 &  (! [B] :  (r2_tarski(B, f1_s5_partfun1) =>  ( (p1_s5_partfun1(B) => k1_funct_1(A, B)=f2_s5_partfun1(B))  &  ( ~ (p1_s5_partfun1(B))  => k1_funct_1(A, B)=f3_s5_partfun1(B)) ) ) ) ) ) ) ).
fof(dt_k1_partfun1, axiom,  (! [A, B, C, D, E, F] :  ( ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))))  &  (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, D)))) )  =>  (v1_funct_1(k1_partfun1(A, B, C, D, E, F)) & m1_subset_1(k1_partfun1(A, B, C, D, E, F), k1_zfmisc_1(k2_zfmisc_1(A, D)))) ) ) ).
fof(redefinition_k1_partfun1, axiom,  (! [A, B, C, D, E, F] :  ( ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))))  &  (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, D)))) )  => k1_partfun1(A, B, C, D, E, F)=k3_relat_1(E, F)) ) ).
fof(dt_k2_partfun1, axiom,  (! [A, B, C, D] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (v1_funct_1(k2_partfun1(A, B, C, D)) & m1_subset_1(k2_partfun1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ).
fof(redefinition_k2_partfun1, axiom,  (! [A, B, C, D] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  => k2_partfun1(A, B, C, D)=k5_relat_1(C, D)) ) ).
fof(dt_k3_partfun1, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_funct_1(k3_partfun1(A, B, C)) & m1_subset_1(k3_partfun1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(B, C)))) ) ) ).
fof(symmetry_r1_partfun1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (r1_partfun1(A, B) => r1_partfun1(B, A)) ) ) ).
fof(reflexivity_r1_partfun1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  => r1_partfun1(A, A)) ) ).
fof(dt_k6_partfun1, axiom,  (! [A] :  (v1_partfun1(k6_partfun1(A), A) & m1_subset_1(k6_partfun1(A), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ).
fof(redefinition_k6_partfun1, axiom,  (! [A] : k6_partfun1(A)=k4_relat_1(A)) ).
fof(dt_f1_s4_partfun1, axiom,  ~ (v1_xboole_0(f1_s4_partfun1)) ).
fof(dt_k7_partfun1, axiom,  (! [A, B, C] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  => m1_subset_1(k7_partfun1(A, B, C), A)) ) ).
fof(t1_partfun2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  ( (k1_relset_1(A, C)=k1_relset_1(A, D) &  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, k1_relset_1(A, C)) => k7_partfun1(B, C, E)=k7_partfun1(B, D, E)) ) ) )  => r2_relset_1(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t2_partfun2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C))))  =>  (r2_tarski(A, k2_relset_1(C, D)) <=>  (? [E] :  (m1_subset_1(E, B) &  (r2_tarski(E, k1_relset_1(B, D)) & A=k7_partfun1(C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_partfun2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, C))))  =>  (r2_relset_1(A, C, F, k1_partfun1(A, B, B, C, D, E)) <=>  ( (! [G] :  (m1_subset_1(G, A) =>  (r2_tarski(G, k1_relset_1(A, F)) <=>  (r2_tarski(G, k1_relset_1(A, D)) & r2_tarski(k7_partfun1(B, D, G), k1_relset_1(B, E))) ) ) )  &  (! [G] :  (m1_subset_1(G, A) =>  (r2_tarski(G, k1_relset_1(A, F)) => k7_partfun1(C, F, G)=k7_partfun1(C, E, k7_partfun1(B, D, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_partfun2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, C))))  =>  ( (r2_tarski(D, k1_relset_1(A, E)) & r2_tarski(k7_partfun1(B, E, D), k1_relset_1(B, F)))  => k7_partfun1(C, k1_partfun1(A, B, B, C, E, F), D)=k7_partfun1(C, F, k7_partfun1(B, E, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_partfun2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, C))))  =>  ( (r1_tarski(k2_relset_1(B, E), k1_relset_1(B, F)) & r2_tarski(D, k1_relset_1(A, E)))  => k7_partfun1(C, k1_partfun1(A, B, B, C, E, F), D)=k7_partfun1(C, F, k7_partfun1(B, E, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_partfun2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (r2_relset_1(A, A, C, k1_partfun2(A, B)) <=>  (k1_relset_1(A, C)=B &  (! [D] :  (m1_subset_1(D, A) =>  (r2_tarski(D, B) => k7_partfun1(A, C, D)=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_partfun2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (r2_tarski(C, k9_subset_1(A, k1_relset_1(A, D), B)) => k7_partfun1(A, D, C)=k7_partfun1(A, k1_partfun1(A, A, A, A, k1_partfun2(A, B), D), C)) ) ) ) ) ) ) ) ) ).
fof(t8_partfun2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (r2_tarski(C, k1_relset_1(A, k1_partfun1(A, A, A, A, D, k1_partfun2(A, B)))) <=>  (r2_tarski(C, k1_relset_1(A, D)) & r2_tarski(k7_partfun1(A, D, C), B)) ) ) ) ) ) ) ) ) ) ).
fof(t9_partfun2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  ( (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  ( (r2_tarski(D, k1_relset_1(A, C)) &  (r2_tarski(E, k1_relset_1(A, C)) & k7_partfun1(B, C, D)=k7_partfun1(B, C, E)) )  => D=E) ) ) ) )  => v2_funct_1(C)) ) ) ) ) ) ) ).
fof(t10_partfun2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, D))))  =>  ( (v2_funct_1(E) &  (r2_tarski(A, k1_relset_1(C, E)) &  (r2_tarski(B, k1_relset_1(C, E)) & k7_partfun1(D, E, A)=k7_partfun1(D, E, B)) ) )  => A=B) ) ) ) ) ) ) ) ) ).
fof(t11_partfun2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v2_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A))))  =>  (r2_relset_1(B, A, D, k2_partfun2(A, B, C)) <=>  (k1_relset_1(B, D)=k2_relset_1(B, C) &  (! [E] :  (m1_subset_1(E, B) =>  (! [F] :  (m1_subset_1(F, A) =>  ( ( (r2_tarski(E, k2_relset_1(B, C)) & F=k7_partfun1(A, D, E))  =>  (r2_tarski(F, k1_relset_1(A, C)) & E=k7_partfun1(B, C, F)) )  &  ( (r2_tarski(F, k1_relset_1(A, C)) & E=k7_partfun1(B, C, F))  =>  (r2_tarski(E, k2_relset_1(B, C)) & F=k7_partfun1(A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_partfun2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v2_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (r2_tarski(C, k1_relset_1(A, D)) =>  (C=k7_partfun1(A, k2_partfun2(A, B, D), k7_partfun1(B, D, C)) & C=k7_partfun1(A, k1_partfun1(A, B, B, A, D, k2_partfun2(A, B, D)), C)) ) ) ) ) ) ) ) ) ) ).
fof(t13_partfun2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v2_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (r2_tarski(C, k2_relset_1(B, D)) =>  (C=k7_partfun1(B, D, k7_partfun1(A, k2_partfun2(A, B, D), C)) & C=k7_partfun1(B, k1_partfun1(B, A, A, B, k2_partfun2(A, B, D), D), C)) ) ) ) ) ) ) ) ) ) ).
fof(t14_partfun2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A))))  =>  ( (v2_funct_1(C) &  (k1_relset_1(A, C)=k2_relset_1(A, D) &  (k2_relset_1(B, C)=k1_relset_1(B, D) &  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, B) =>  ( (r2_tarski(E, k1_relset_1(A, C)) & r2_tarski(F, k1_relset_1(B, D)))  =>  (k7_partfun1(B, C, E)=F <=> k7_partfun1(A, D, F)=E) ) ) ) ) ) ) ) )  => D=k2_funct_1(C)) ) ) ) ) ) ) ) ) ).
fof(t15_partfun2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C))))  =>  (r2_relset_1(B, C, E, k2_partfun1(B, C, D, A)) <=>  (k1_relset_1(B, E)=k8_subset_1(B, k1_relset_1(B, D), A) &  (! [F] :  (m1_subset_1(F, B) =>  (r2_tarski(F, k1_relset_1(B, E)) => k7_partfun1(C, E, F)=k7_partfun1(C, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_partfun2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C))))  =>  (r2_tarski(D, k8_subset_1(B, k1_relset_1(B, E), A)) => k7_partfun1(C, k2_partfun1(B, C, E, A), D)=k7_partfun1(C, E, D)) ) ) ) ) ) ) ) ) ) ).
fof(t17_partfun2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C))))  =>  ( (r2_tarski(D, k1_relset_1(B, E)) & r2_tarski(D, A))  => k7_partfun1(C, k2_partfun1(B, C, E, A), D)=k7_partfun1(C, E, D)) ) ) ) ) ) ) ) ) ) ).
fof(t18_partfun2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C))))  =>  ( (r2_tarski(D, k1_relset_1(B, E)) & r2_tarski(D, A))  => r2_tarski(k7_partfun1(C, E, D), k2_relset_1(C, k2_partfun1(B, C, E, A)))) ) ) ) ) ) ) ) ) ) ).
fof(t19_partfun2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C))))  =>  (r2_relset_1(B, C, E, k3_partfun2(B, C, A, D)) <=>  ( (! [F] :  (m1_subset_1(F, B) =>  (r2_tarski(F, k1_relset_1(B, E)) <=>  (r2_tarski(F, k1_relset_1(B, D)) & r2_tarski(k7_partfun1(C, D, F), A)) ) ) )  &  (! [F] :  (m1_subset_1(F, B) =>  (r2_tarski(F, k1_relset_1(B, E)) => k7_partfun1(C, E, F)=k7_partfun1(C, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_partfun2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C))))  =>  (r2_tarski(D, k1_relset_1(B, k3_partfun2(B, C, A, E))) <=>  (r2_tarski(D, k1_relset_1(B, E)) & r2_tarski(k7_partfun1(C, E, D), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_partfun2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C))))  =>  (r2_tarski(D, k1_relset_1(B, k3_partfun2(B, C, A, E))) => k7_partfun1(C, k3_partfun2(B, C, A, E), D)=k7_partfun1(C, E, D)) ) ) ) ) ) ) ) ) ) ).
fof(t22_partfun2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(C)) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C))))  =>  (D=k7_relset_1(B, C, E, A) <=>  (! [F] :  (m1_subset_1(F, C) =>  (r2_tarski(F, D) <=>  (? [G] :  (m1_subset_1(G, B) &  (r2_tarski(G, k1_relset_1(B, E)) &  (r2_tarski(G, A) & F=k7_partfun1(C, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_partfun2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, C) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C))))  =>  (r2_tarski(D, k7_relset_1(B, C, E, A)) <=>  (? [F] :  (m1_subset_1(F, B) &  (r2_tarski(F, k1_relset_1(B, E)) &  (r2_tarski(F, A) & D=k7_partfun1(C, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_partfun2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (r2_tarski(C, k1_relset_1(A, D)) => k9_relat_1(D, C)=k1_tarski(k7_partfun1(B, D, C))) ) ) ) ) ) ) ) ) ).
fof(t25_partfun2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  ( (r2_tarski(C, k1_relset_1(A, E)) & r2_tarski(D, k1_relset_1(A, E)))  => k7_relset_1(A, B, E, k2_tarski(C, D))=k2_tarski(k7_partfun1(B, E, C), k7_partfun1(B, E, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_partfun2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C))))  =>  (D=k8_relset_1(B, C, E, A) <=>  (! [F] :  (m1_subset_1(F, B) =>  (r2_tarski(F, D) <=>  (r2_tarski(F, k1_relset_1(B, E)) & r2_tarski(k7_partfun1(C, E, F), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_partfun2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, k1_relset_1(A, C)) => k3_funct_2(A, B, D, E)=k7_partfun1(B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_partfun2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (r1_partfun1(C, D) <=>  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, k9_subset_1(A, k1_relset_1(A, C), k1_relset_1(A, D))) => k7_partfun1(B, C, E)=k7_partfun1(B, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_partfun2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, B) =>  (r2_tarski(D, C) => k7_partfun1(B, k4_partfun2(A, B, C, E), D)=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_partfun2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  ( (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, k1_relset_1(A, D)) => k7_partfun1(B, D, E)=C) ) )  => r2_relset_1(A, B, D, k4_partfun2(A, B, k1_relset_1(A, D), C))) ) ) ) ) ) ) ) ) ).
fof(t31_partfun2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(C)) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (r2_tarski(E, k1_relset_1(A, F)) => r2_relset_1(C, B, k1_partfun1(C, A, A, B, k4_partfun2(C, A, D, E), F), k4_partfun2(C, B, D, k7_partfun1(B, F, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_partfun2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (v1_partfun1(k1_partfun2(A, B), A) <=> B=A) ) ) ) ) ).
fof(t33_partfun2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, B) =>  ~ ( (v1_partfun1(k4_partfun2(A, B, C, D), A) & C=k1_xboole_0) ) ) ) ) ) ) ) ) ) ).
fof(t34_partfun2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, B) =>  (v1_partfun1(k4_partfun2(A, B, C, D), A) <=> C=A) ) ) ) ) ) ) ) ) ).
fof(d1_partfun2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (v3_funct_1(C) <=>  (? [D] :  (m1_subset_1(D, B) &  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, k1_relset_1(A, C)) => k1_funct_1(C, E)=D) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_partfun2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C))))  =>  (v3_funct_1(k2_partfun1(B, C, D, A)) <=>  (? [E] :  (m1_subset_1(E, C) &  (! [F] :  (m1_subset_1(F, B) =>  (r2_tarski(F, k9_subset_1(B, A, k1_relset_1(B, D))) => k7_partfun1(C, D, F)=E) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_partfun2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C))))  =>  (v3_funct_1(k2_partfun1(B, C, D, A)) <=>  (! [E] :  (m1_subset_1(E, B) =>  (! [F] :  (m1_subset_1(F, B) =>  ( (r2_tarski(E, k9_subset_1(B, A, k1_relset_1(B, D))) & r2_tarski(F, k9_subset_1(B, A, k1_relset_1(B, D))))  => k7_partfun1(C, D, E)=k7_partfun1(C, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_partfun2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C))))  =>  ( ~ (r1_xboole_0(A, k1_relset_1(B, D)))  =>  (v3_funct_1(k2_partfun1(B, C, D, A)) <=>  (? [E] :  (m1_subset_1(E, C) & k2_relset_1(C, k2_partfun1(B, C, D, A))=k1_tarski(E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_partfun2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, D))))  =>  ( (v3_funct_1(k2_partfun1(C, D, E, A)) & r1_tarski(B, A))  => v3_funct_1(k2_partfun1(C, D, E, B))) ) ) ) ) ) ) ) ) ).
fof(t39_partfun2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C))))  =>  (r1_xboole_0(A, k1_relset_1(B, D)) => v3_funct_1(k2_partfun1(B, C, D, A))) ) ) ) ) ) ) ) ).
fof(t40_partfun2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (r2_relset_1(A, B, k2_partfun1(A, B, E, C), k4_partfun2(A, B, k1_relset_1(A, k2_partfun1(A, B, E, C)), D)) => v3_funct_1(k2_partfun1(A, B, E, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_partfun2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C))))  => v3_funct_1(k2_partfun1(B, C, D, k1_tarski(A)))) ) ) ) ) ) ) ).
fof(t42_partfun2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, D))))  =>  ( (v3_funct_1(k2_partfun1(C, D, E, A)) & v3_funct_1(k2_partfun1(C, D, E, B)))  =>  (r1_xboole_0(k3_xboole_0(A, B), k1_relset_1(C, E)) | v3_funct_1(k2_partfun1(C, D, E, k2_xboole_0(A, B)))) ) ) ) ) ) ) ) ) ) ).
fof(t43_partfun2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, D))))  =>  (v3_funct_1(k2_partfun1(C, D, E, B)) => v3_funct_1(k2_partfun1(C, D, k2_partfun1(C, D, E, A), B))) ) ) ) ) ) ) ) ) ).
fof(t44_partfun2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, B) => v3_funct_1(k2_partfun1(A, B, k4_partfun2(A, B, C, D), C))) ) ) ) ) ) ) ) ).
fof(t45_partfun2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  ( (r1_tarski(k1_relset_1(A, C), k1_relset_1(A, D)) &  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, k1_relset_1(A, C)) => k7_partfun1(B, C, E)=k7_partfun1(B, D, E)) ) ) )  => r1_relset_1(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t46_partfun2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  ( (r2_tarski(C, k1_relset_1(A, E)) & D=k7_partfun1(B, E, C))  <=> r2_hidden(k4_tarski(C, D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_partfun2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, C) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(B, C))))  =>  (r2_hidden(k4_tarski(D, E), k1_partfun1(A, B, B, C, F, G)) =>  (r2_hidden(k4_tarski(D, k7_partfun1(B, F, D)), F) & r2_hidden(k4_tarski(k7_partfun1(B, F, D), E), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_partfun2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (E=k1_tarski(k4_tarski(C, D)) => k7_partfun1(B, E, C)=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_partfun2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (k1_relset_1(A, D)=k1_tarski(C) => D=k1_tarski(k4_tarski(C, k7_partfun1(B, D, C)))) ) ) ) ) ) ) ) ) ).
fof(t50_partfun2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  ( (r2_relset_1(A, B, E, k9_subset_1(k2_zfmisc_1(A, B), D, F)) & r2_tarski(C, k1_relset_1(A, E)))  =>  (k7_partfun1(B, E, C)=k7_partfun1(B, D, C) & k7_partfun1(B, E, C)=k7_partfun1(B, F, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_partfun2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  ( (r2_tarski(C, k1_relset_1(A, D)) & r2_relset_1(A, B, E, k4_subset_1(k2_zfmisc_1(A, B), D, F)))  => k7_partfun1(B, E, C)=k7_partfun1(B, D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_partfun2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  ( (r2_tarski(C, k1_relset_1(A, F)) & r2_relset_1(A, B, E, k4_subset_1(k2_zfmisc_1(A, B), D, F)))  => k7_partfun1(B, E, C)=k7_partfun1(B, F, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_partfun2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  ~ ( (r2_tarski(C, k1_relset_1(A, E)) &  (r2_relset_1(A, B, E, k4_subset_1(k2_zfmisc_1(A, B), D, F)) &  ( ~ (k7_partfun1(B, E, C)=k7_partfun1(B, D, C))  &  ~ (k7_partfun1(B, E, C)=k7_partfun1(B, F, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_partfun2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  ( (r2_tarski(D, k1_relset_1(A, E)) & r2_tarski(D, C))  <=> r2_hidden(k4_tarski(D, k7_partfun1(B, E, D)), k2_partfun1(A, B, E, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_partfun2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  ( (r2_tarski(D, k1_relset_1(A, E)) & r2_tarski(k7_partfun1(B, E, D), C))  <=> r2_hidden(k4_tarski(D, k7_partfun1(B, E, D)), k3_partfun2(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_partfun2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (r2_tarski(D, k8_relset_1(A, B, E, C)) <=>  (r2_hidden(k4_tarski(D, k7_partfun1(B, E, D)), E) & r2_tarski(k7_partfun1(B, E, D), C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_partfun2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C))))  =>  (v3_funct_1(k2_partfun1(B, C, D, A)) <=>  (? [E] :  (m1_subset_1(E, C) &  (! [F] :  (m1_subset_1(F, B) =>  (r2_tarski(F, k9_subset_1(B, A, k1_relset_1(B, D))) => k1_funct_1(D, F)=E) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_partfun2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C))))  =>  (v3_funct_1(k2_partfun1(B, C, D, A)) <=>  (! [E] :  (m1_subset_1(E, B) =>  (! [F] :  (m1_subset_1(F, B) =>  ( (r2_tarski(E, k9_subset_1(B, A, k1_relset_1(B, D))) & r2_tarski(F, k9_subset_1(B, A, k1_relset_1(B, D))))  => k1_funct_1(D, E)=k1_funct_1(D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_partfun2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, C) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C))))  =>  ~ ( (r2_tarski(D, k7_relset_1(B, C, E, A)) &  (! [F] :  (m1_subset_1(F, B) =>  ~ ( (r2_tarski(F, k1_relset_1(B, E)) &  (r2_tarski(F, A) & D=k1_funct_1(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_partfun2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, B) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (v2_funct_1(E) =>  ( ( (r2_tarski(D, k2_relset_1(B, E)) & C=k1_funct_1(k2_funct_1(E), D))  =>  (r2_tarski(C, k1_relset_1(A, E)) & D=k1_funct_1(E, C)) )  &  ( (r2_tarski(C, k1_relset_1(A, E)) & D=k1_funct_1(E, C))  =>  (r2_tarski(D, k2_relset_1(B, E)) & C=k1_funct_1(k2_funct_1(E), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_partfun2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, A) & v1_funct_1(C)) )  =>  (r1_tarski(B, C) =>  (! [D] :  (r2_tarski(D, k9_xtuple_0(B)) => k7_partfun1(A, B, D)=k7_partfun1(A, C, D)) ) ) ) ) ) ) ) ).
fof(s1_partfun2, axiom,  (? [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(f1_s1_partfun2, f2_s1_partfun2))))  &  ( (! [B] :  (m1_subset_1(B, f1_s1_partfun2) =>  (r2_tarski(B, k1_relset_1(f1_s1_partfun2, A)) <=>  (? [C] :  (m1_subset_1(C, f2_s1_partfun2) & p1_s1_partfun2(B, C)) ) ) ) )  &  (! [B] :  (m1_subset_1(B, f1_s1_partfun2) =>  (r2_tarski(B, k1_relset_1(f1_s1_partfun2, A)) => p1_s1_partfun2(B, k7_partfun1(f2_s1_partfun2, A, B))) ) ) ) ) ) ).
fof(s2_partfun2, axiom,  (? [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(f1_s2_partfun2, f2_s2_partfun2))))  &  ( (! [B] :  (m1_subset_1(B, f1_s2_partfun2) =>  (r2_tarski(B, k1_relset_1(f1_s2_partfun2, A)) <=> p1_s2_partfun2(B)) ) )  &  (! [B] :  (m1_subset_1(B, f1_s2_partfun2) =>  (r2_tarski(B, k1_relset_1(f1_s2_partfun2, A)) => k7_partfun1(f2_s2_partfun2, A, B)=f3_s2_partfun2(B)) ) ) ) ) ) ).
fof(s3_partfun2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(f1_s3_partfun2, f2_s3_partfun2))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(f1_s3_partfun2, f2_s3_partfun2))))  =>  ( (k1_relset_1(f1_s3_partfun2, A)=f3_s3_partfun2 &  ( (! [C] :  (m1_subset_1(C, f1_s3_partfun2) =>  (r2_tarski(C, k1_relset_1(f1_s3_partfun2, A)) => k7_partfun1(f2_s3_partfun2, A, C)=f4_s3_partfun2(C)) ) )  &  (k1_relset_1(f1_s3_partfun2, B)=f3_s3_partfun2 &  (! [C] :  (m1_subset_1(C, f1_s3_partfun2) =>  (r2_tarski(C, k1_relset_1(f1_s3_partfun2, B)) => k7_partfun1(f2_s3_partfun2, B, C)=f4_s3_partfun2(C)) ) ) ) ) )  => r2_relset_1(f1_s3_partfun2, f2_s3_partfun2, A, B)) ) ) ) ) ).
fof(dt_k1_partfun2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k1_zfmisc_1(A)))  =>  (v1_funct_1(k1_partfun2(A, B)) & m1_subset_1(k1_partfun2(A, B), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ).
fof(redefinition_k1_partfun2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k1_zfmisc_1(A)))  => k1_partfun2(A, B)=k4_relat_1(B)) ) ).
fof(dt_k2_partfun2, axiom,  (! [A, B, C] :  ( (v1_funct_1(C) &  (v2_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v1_funct_1(k2_partfun2(A, B, C)) & m1_subset_1(k2_partfun2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) ).
fof(redefinition_k2_partfun2, axiom,  (! [A, B, C] :  ( (v1_funct_1(C) &  (v2_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  => k2_partfun2(A, B, C)=k2_funct_1(C)) ) ).
fof(dt_k3_partfun2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (v1_funct_1(k3_partfun2(A, B, C, D)) & m1_subset_1(k3_partfun2(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ).
fof(redefinition_k3_partfun2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  => k3_partfun2(A, B, C, D)=k6_relat_1(C, D)) ) ).
fof(dt_f1_s1_partfun2, axiom,  ~ (v1_xboole_0(f1_s1_partfun2)) ).
fof(dt_f2_s1_partfun2, axiom,  ~ (v1_xboole_0(f2_s1_partfun2)) ).
fof(dt_f1_s2_partfun2, axiom,  ~ (v1_xboole_0(f1_s2_partfun2)) ).
fof(dt_f2_s2_partfun2, axiom,  ~ (v1_xboole_0(f2_s2_partfun2)) ).
fof(dt_f3_s2_partfun2, axiom,  (! [A] : m1_subset_1(f3_s2_partfun2(A), f2_s2_partfun2)) ).
fof(dt_f1_s3_partfun2, axiom,  ~ (v1_xboole_0(f1_s3_partfun2)) ).
fof(dt_f2_s3_partfun2, axiom,  ~ (v1_xboole_0(f2_s3_partfun2)) ).
fof(dt_f4_s3_partfun2, axiom,  (! [A] : m1_subset_1(f4_s3_partfun2(A), f2_s3_partfun2)) ).
fof(dt_k4_partfun2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, B)) ) )  =>  (v1_funct_1(k4_partfun2(A, B, C, D)) & m1_subset_1(k4_partfun2(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ).
fof(redefinition_k4_partfun2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, B)) ) )  => k4_partfun2(A, B, C, D)=k2_funcop_1(C, D)) ) ).
fof(redefinition_v1_partfun2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (v1_partfun2(C, A, B) <=> v3_funct_1(C)) ) ) ).
fof(fc1_partfun3, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ (v3_xxreal_0(k7_xcmplx_0(A, A))) ) ) ).
fof(fc2_partfun3, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ (v3_xxreal_0(k3_xcmplx_0(A, A))) ) ) ).
fof(fc3_partfun3, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ (v3_xxreal_0(k3_xcmplx_0(A, k5_xcmplx_0(A)))) ) ) ).
fof(fc4_partfun3, axiom,  (! [A] :  ( (v1_xreal_0(A) &  ~ (v3_xxreal_0(A)) )  =>  (v1_xreal_0(k3_square_1(A)) &  ~ (v3_xxreal_0(k3_square_1(A))) ) ) ) ).
fof(fc5_partfun3, axiom,  (! [A] :  ( (v1_xreal_0(A) & v2_xxreal_0(A))  =>  (v1_xreal_0(k3_square_1(A)) & v2_xxreal_0(k3_square_1(A))) ) ) ).
fof(fc6_partfun3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) )  => v1_xboole_0(k8_relat_1(A, k1_tarski(k5_numbers)))) ) ).
fof(fc7_partfun3, axiom,  (! [A, B] :  ( (v1_xreal_0(B) & v2_xxreal_0(B))  => v1_partfun3(k2_funcop_1(A, B))) ) ).
fof(fc8_partfun3, axiom,  (! [A, B] :  ( (v1_xreal_0(B) & v3_xxreal_0(B))  => v2_partfun3(k2_funcop_1(A, B))) ) ).
fof(fc9_partfun3, axiom,  (! [A, B] :  ( (v1_xreal_0(B) &  ~ (v2_xxreal_0(B)) )  => v3_partfun3(k2_funcop_1(A, B))) ) ).
fof(fc10_partfun3, axiom,  (! [A, B] :  ( (v1_xreal_0(B) &  ~ (v3_xxreal_0(B)) )  => v4_partfun3(k2_funcop_1(A, B))) ) ).
fof(fc11_partfun3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v2_relat_1(k2_funcop_1(A, k5_numbers))) ) ) ).
fof(cc1_partfun3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_partfun3(A))  =>  (v1_relat_1(A) &  (v2_relat_1(A) & v4_partfun3(A)) ) ) ) ).
fof(cc2_partfun3, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_partfun3(A))  =>  (v1_relat_1(A) &  (v2_relat_1(A) & v3_partfun3(A)) ) ) ) ).
fof(rc1_partfun3, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k1_numbers) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_funct_2(B, A, k1_numbers) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) & v2_partfun3(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_partfun3, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k1_numbers) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_funct_2(B, A, k1_numbers) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) & v1_partfun3(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_partfun3, axiom,  (? [A] :  (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) ) ) ) ).
fof(fc12_partfun3, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v3_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(C) &  (v3_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k1_valued_1(B, C)) &  (v1_funct_1(k1_valued_1(B, C)) & v3_partfun3(k1_valued_1(B, C))) ) ) ) ).
fof(fc13_partfun3, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v4_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(C) &  (v4_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k1_valued_1(B, C)) &  (v1_funct_1(k1_valued_1(B, C)) & v4_partfun3(k1_valued_1(B, C))) ) ) ) ).
fof(fc14_partfun3, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(C) &  (v4_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k1_valued_1(B, C)) &  (v1_funct_1(k1_valued_1(B, C)) & v1_partfun3(k1_valued_1(B, C))) ) ) ) ).
fof(fc15_partfun3, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v4_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(C) &  (v1_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k1_valued_1(B, C)) &  (v1_funct_1(k1_valued_1(B, C)) & v1_partfun3(k1_valued_1(B, C))) ) ) ) ).
fof(fc16_partfun3, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v3_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(C) &  (v2_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k1_valued_1(B, C)) &  (v1_funct_1(k1_valued_1(B, C)) & v2_partfun3(k1_valued_1(B, C))) ) ) ) ).
fof(fc17_partfun3, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v2_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(C) &  (v3_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k1_valued_1(B, C)) &  (v1_funct_1(k1_valued_1(B, C)) & v2_partfun3(k1_valued_1(B, C))) ) ) ) ).
fof(fc18_partfun3, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v4_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(C) &  (v3_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k45_valued_1(B, C)) &  (v1_funct_1(k45_valued_1(B, C)) & v4_partfun3(k45_valued_1(B, C))) ) ) ) ).
fof(fc19_partfun3, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v3_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(C) &  (v4_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k45_valued_1(B, C)) &  (v1_funct_1(k45_valued_1(B, C)) & v3_partfun3(k45_valued_1(B, C))) ) ) ) ).
fof(fc20_partfun3, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(C) &  (v3_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k45_valued_1(B, C)) &  (v1_funct_1(k45_valued_1(B, C)) & v1_partfun3(k45_valued_1(B, C))) ) ) ) ).
fof(fc21_partfun3, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v3_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(C) &  (v1_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k45_valued_1(B, C)) &  (v1_funct_1(k45_valued_1(B, C)) & v2_partfun3(k45_valued_1(B, C))) ) ) ) ).
fof(fc22_partfun3, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v2_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(C) &  (v4_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k45_valued_1(B, C)) &  (v1_funct_1(k45_valued_1(B, C)) & v2_partfun3(k45_valued_1(B, C))) ) ) ) ).
fof(fc23_partfun3, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v4_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(C) &  (v2_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k45_valued_1(B, C)) &  (v1_funct_1(k45_valued_1(B, C)) & v1_partfun3(k45_valued_1(B, C))) ) ) ) ).
fof(fc24_partfun3, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v3_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(C) &  (v3_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k18_valued_1(B, C)) &  (v1_funct_1(k18_valued_1(B, C)) & v4_partfun3(k18_valued_1(B, C))) ) ) ) ).
fof(fc25_partfun3, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v4_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(C) &  (v4_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k18_valued_1(B, C)) &  (v1_funct_1(k18_valued_1(B, C)) & v4_partfun3(k18_valued_1(B, C))) ) ) ) ).
fof(fc26_partfun3, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v3_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(C) &  (v4_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k18_valued_1(B, C)) &  (v1_funct_1(k18_valued_1(B, C)) & v3_partfun3(k18_valued_1(B, C))) ) ) ) ).
fof(fc27_partfun3, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v4_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(C) &  (v3_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k18_valued_1(B, C)) &  (v1_funct_1(k18_valued_1(B, C)) & v3_partfun3(k18_valued_1(B, C))) ) ) ) ).
fof(fc28_partfun3, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(C) &  (v2_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k18_valued_1(B, C)) &  (v1_funct_1(k18_valued_1(B, C)) & v2_partfun3(k18_valued_1(B, C))) ) ) ) ).
fof(fc29_partfun3, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v2_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(C) &  (v1_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k18_valued_1(B, C)) &  (v1_funct_1(k18_valued_1(B, C)) & v2_partfun3(k18_valued_1(B, C))) ) ) ) ).
fof(fc30_partfun3, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(C) &  (v1_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k18_valued_1(B, C)) &  (v1_funct_1(k18_valued_1(B, C)) & v1_partfun3(k18_valued_1(B, C))) ) ) ) ).
fof(fc31_partfun3, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v2_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(C) &  (v2_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k18_valued_1(B, C)) &  (v1_funct_1(k18_valued_1(B, C)) & v1_partfun3(k18_valued_1(B, C))) ) ) ) ).
fof(fc32_partfun3, axiom,  (! [A, B, C] :  ( ( (v2_relat_1(B) &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v2_relat_1(C) &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k18_valued_1(B, C)) &  (v2_relat_1(k18_valued_1(B, C)) & v1_funct_1(k18_valued_1(B, C))) ) ) ) ).
fof(fc33_partfun3, axiom,  (! [A, B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (v1_relat_1(k18_valued_1(B, B)) &  (v1_funct_1(k18_valued_1(B, B)) & v4_partfun3(k18_valued_1(B, B))) ) ) ) ).
fof(fc34_partfun3, axiom,  (! [A, B, C] :  ( ( (v1_xreal_0(B) &  ~ (v2_xxreal_0(B)) )  &  (v1_funct_1(C) &  (v3_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k24_valued_1(C, B)) &  (v1_funct_1(k24_valued_1(C, B)) & v4_partfun3(k24_valued_1(C, B))) ) ) ) ).
fof(fc35_partfun3, axiom,  (! [A, B, C] :  ( ( (v1_xreal_0(B) &  ~ (v3_xxreal_0(B)) )  &  (v1_funct_1(C) &  (v4_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k24_valued_1(C, B)) &  (v1_funct_1(k24_valued_1(C, B)) & v4_partfun3(k24_valued_1(C, B))) ) ) ) ).
fof(fc36_partfun3, axiom,  (! [A, B, C] :  ( ( (v1_xreal_0(B) &  ~ (v2_xxreal_0(B)) )  &  (v1_funct_1(C) &  (v4_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k24_valued_1(C, B)) &  (v1_funct_1(k24_valued_1(C, B)) & v3_partfun3(k24_valued_1(C, B))) ) ) ) ).
fof(fc37_partfun3, axiom,  (! [A, B, C] :  ( ( (v1_xreal_0(B) &  ~ (v3_xxreal_0(B)) )  &  (v1_funct_1(C) &  (v3_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k24_valued_1(C, B)) &  (v1_funct_1(k24_valued_1(C, B)) & v3_partfun3(k24_valued_1(C, B))) ) ) ) ).
fof(fc38_partfun3, axiom,  (! [A, B, C] :  ( ( (v1_xreal_0(B) & v2_xxreal_0(B))  &  (v1_funct_1(C) &  (v2_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k24_valued_1(C, B)) &  (v1_funct_1(k24_valued_1(C, B)) & v2_partfun3(k24_valued_1(C, B))) ) ) ) ).
fof(fc39_partfun3, axiom,  (! [A, B, C] :  ( ( (v1_xreal_0(B) & v3_xxreal_0(B))  &  (v1_funct_1(C) &  (v1_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k24_valued_1(C, B)) &  (v1_funct_1(k24_valued_1(C, B)) & v2_partfun3(k24_valued_1(C, B))) ) ) ) ).
fof(fc40_partfun3, axiom,  (! [A, B, C] :  ( ( (v1_xreal_0(B) & v2_xxreal_0(B))  &  (v1_funct_1(C) &  (v1_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k24_valued_1(C, B)) &  (v1_funct_1(k24_valued_1(C, B)) & v1_partfun3(k24_valued_1(C, B))) ) ) ) ).
fof(fc41_partfun3, axiom,  (! [A, B, C] :  ( ( (v1_xreal_0(B) & v3_xxreal_0(B))  &  (v1_funct_1(C) &  (v2_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k24_valued_1(C, B)) &  (v1_funct_1(k24_valued_1(C, B)) & v1_partfun3(k24_valued_1(C, B))) ) ) ) ).
fof(fc42_partfun3, axiom,  (! [A, B, C] :  ( ( ( ~ (v8_ordinal1(B))  & v1_xreal_0(B))  &  (v2_relat_1(C) &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k24_valued_1(C, B)) &  (v2_relat_1(k24_valued_1(C, B)) & v1_funct_1(k24_valued_1(C, B))) ) ) ) ).
fof(fc43_partfun3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v3_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(C) &  (v3_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  =>  (v1_relat_1(k1_rfunct_1(B, C)) &  (v1_funct_1(k1_rfunct_1(B, C)) & v4_partfun3(k1_rfunct_1(B, C))) ) ) ) ).
fof(fc44_partfun3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v4_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(C) &  (v4_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  =>  (v1_relat_1(k1_rfunct_1(B, C)) &  (v1_funct_1(k1_rfunct_1(B, C)) & v4_partfun3(k1_rfunct_1(B, C))) ) ) ) ).
fof(fc45_partfun3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v3_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(C) &  (v4_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  =>  (v1_relat_1(k1_rfunct_1(B, C)) &  (v1_funct_1(k1_rfunct_1(B, C)) & v3_partfun3(k1_rfunct_1(B, C))) ) ) ) ).
fof(fc46_partfun3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v4_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(C) &  (v3_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  =>  (v1_relat_1(k1_rfunct_1(B, C)) &  (v1_funct_1(k1_rfunct_1(B, C)) & v3_partfun3(k1_rfunct_1(B, C))) ) ) ) ).
fof(fc47_partfun3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(C) &  (v2_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  =>  (v1_relat_1(k1_rfunct_1(B, C)) &  (v1_funct_1(k1_rfunct_1(B, C)) & v2_partfun3(k1_rfunct_1(B, C))) ) ) ) ).
fof(fc48_partfun3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v2_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(C) &  (v1_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  =>  (v1_relat_1(k1_rfunct_1(B, C)) &  (v1_funct_1(k1_rfunct_1(B, C)) & v2_partfun3(k1_rfunct_1(B, C))) ) ) ) ).
fof(fc49_partfun3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(C) &  (v1_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  =>  (v1_relat_1(k1_rfunct_1(B, C)) &  (v1_funct_1(k1_rfunct_1(B, C)) & v1_partfun3(k1_rfunct_1(B, C))) ) ) ) ).
fof(fc50_partfun3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v2_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(C) &  (v2_partfun3(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  =>  (v1_relat_1(k1_rfunct_1(B, C)) &  (v1_funct_1(k1_rfunct_1(B, C)) & v1_partfun3(k1_rfunct_1(B, C))) ) ) ) ).
fof(fc51_partfun3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_relat_1(k1_rfunct_1(B, B)) &  (v1_funct_1(k1_rfunct_1(B, B)) & v4_partfun3(k1_rfunct_1(B, B))) ) ) ) ).
fof(fc52_partfun3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v2_relat_1(B) &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v2_relat_1(C) &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  =>  (v1_relat_1(k1_rfunct_1(B, C)) &  (v2_relat_1(k1_rfunct_1(B, C)) & v1_funct_1(k1_rfunct_1(B, C))) ) ) ) ).
fof(fc53_partfun3, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) &  (v3_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k35_valued_1(B)) &  (v1_funct_1(k35_valued_1(B)) &  (v1_valued_0(k35_valued_1(B)) & v3_partfun3(k35_valued_1(B))) ) ) ) ) ).
fof(fc54_partfun3, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) &  (v4_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k35_valued_1(B)) &  (v1_funct_1(k35_valued_1(B)) &  (v1_valued_0(k35_valued_1(B)) & v4_partfun3(k35_valued_1(B))) ) ) ) ) ).
fof(fc55_partfun3, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) &  (v1_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k35_valued_1(B)) &  (v1_funct_1(k35_valued_1(B)) &  (v1_valued_0(k35_valued_1(B)) & v1_partfun3(k35_valued_1(B))) ) ) ) ) ).
fof(fc56_partfun3, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) &  (v2_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k35_valued_1(B)) &  (v1_funct_1(k35_valued_1(B)) &  (v1_valued_0(k35_valued_1(B)) & v2_partfun3(k35_valued_1(B))) ) ) ) ) ).
fof(fc57_partfun3, axiom,  (! [A, B] :  ( (v2_relat_1(B) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k35_valued_1(B)) &  (v2_relat_1(k35_valued_1(B)) &  (v1_funct_1(k35_valued_1(B)) & v1_valued_0(k35_valued_1(B))) ) ) ) ) ).
fof(fc58_partfun3, axiom,  (! [A, B] :  ( (v2_relat_1(B) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k30_valued_1(B)) &  (v2_relat_1(k30_valued_1(B)) &  (v1_funct_1(k30_valued_1(B)) & v1_valued_0(k30_valued_1(B))) ) ) ) ) ).
fof(fc59_partfun3, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) &  (v3_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k30_valued_1(B)) &  (v1_funct_1(k30_valued_1(B)) &  (v1_valued_0(k30_valued_1(B)) & v4_partfun3(k30_valued_1(B))) ) ) ) ) ).
fof(fc60_partfun3, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) &  (v4_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k30_valued_1(B)) &  (v1_funct_1(k30_valued_1(B)) &  (v1_valued_0(k30_valued_1(B)) & v3_partfun3(k30_valued_1(B))) ) ) ) ) ).
fof(fc61_partfun3, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) &  (v1_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k30_valued_1(B)) &  (v1_funct_1(k30_valued_1(B)) &  (v1_valued_0(k30_valued_1(B)) & v2_partfun3(k30_valued_1(B))) ) ) ) ) ).
fof(fc62_partfun3, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) &  (v2_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k30_valued_1(B)) &  (v1_funct_1(k30_valued_1(B)) &  (v1_valued_0(k30_valued_1(B)) & v1_partfun3(k30_valued_1(B))) ) ) ) ) ).
fof(fc63_partfun3, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_relat_1(k54_valued_1(B)) &  (v1_funct_1(k54_valued_1(B)) &  (v3_valued_0(k54_valued_1(B)) & v4_partfun3(k54_valued_1(B))) ) ) ) ) ).
fof(fc64_partfun3, axiom,  (! [A, B] :  ( (v2_relat_1(B) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k54_valued_1(B)) &  (v1_funct_1(k54_valued_1(B)) &  (v3_valued_0(k54_valued_1(B)) & v1_partfun3(k54_valued_1(B))) ) ) ) ) ).
fof(fc65_partfun3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) &  (v3_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  =>  (v1_relat_1(k4_rfunct_1(B)) &  (v1_funct_1(k4_rfunct_1(B)) & v3_partfun3(k4_rfunct_1(B))) ) ) ) ).
fof(fc66_partfun3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) &  (v4_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  =>  (v1_relat_1(k4_rfunct_1(B)) &  (v1_funct_1(k4_rfunct_1(B)) & v4_partfun3(k4_rfunct_1(B))) ) ) ) ).
fof(fc67_partfun3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) &  (v1_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  =>  (v1_relat_1(k4_rfunct_1(B)) &  (v1_funct_1(k4_rfunct_1(B)) & v1_partfun3(k4_rfunct_1(B))) ) ) ) ).
fof(fc68_partfun3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) &  (v2_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  =>  (v1_relat_1(k4_rfunct_1(B)) &  (v1_funct_1(k4_rfunct_1(B)) & v2_partfun3(k4_rfunct_1(B))) ) ) ) ).
fof(fc69_partfun3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  =>  (v1_relat_1(k4_rfunct_1(B)) &  (v2_relat_1(k4_rfunct_1(B)) & v1_funct_1(k4_rfunct_1(B))) ) ) ) ).
fof(fc70_partfun3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  =>  (v1_relat_1(k1_partfun3(A)) &  (v1_funct_1(k1_partfun3(A)) & v3_valued_0(k1_partfun3(A))) ) ) ) ).
fof(fc71_partfun3, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) &  (v4_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k1_partfun3(B)) &  (v1_funct_1(k1_partfun3(B)) & v4_partfun3(k1_partfun3(B))) ) ) ) ).
fof(fc72_partfun3, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) &  (v1_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k1_partfun3(B)) &  (v1_funct_1(k1_partfun3(B)) & v1_partfun3(k1_partfun3(B))) ) ) ) ).
fof(t1_partfun3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v2_funct_1(A) & r1_tarski(B, k9_xtuple_0(k2_funct_1(A))))  => k7_relat_1(A, k7_relat_1(k2_funct_1(A), B))=B) ) ) ) ).
fof(d1_partfun3, axiom,  (! [A] :  (v1_relat_1(A) =>  (v1_partfun3(A) <=>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r2_hidden(B, k10_xtuple_0(A)) & r1_xxreal_0(B, k5_numbers)) ) ) ) ) ) ) ).
fof(d2_partfun3, axiom,  (! [A] :  (v1_relat_1(A) =>  (v2_partfun3(A) <=>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r2_hidden(B, k10_xtuple_0(A)) & r1_xxreal_0(k5_numbers, B)) ) ) ) ) ) ) ).
fof(d3_partfun3, axiom,  (! [A] :  (v1_relat_1(A) =>  (v3_partfun3(A) <=>  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, k10_xtuple_0(A)) => r1_xxreal_0(B, k5_numbers)) ) ) ) ) ) ).
fof(d4_partfun3, axiom,  (! [A] :  (v1_relat_1(A) =>  (v4_partfun3(A) <=>  (! [B] :  (v1_xreal_0(B) =>  (r2_hidden(B, k10_xtuple_0(A)) => r1_xxreal_0(k5_numbers, B)) ) ) ) ) ) ).
fof(t2_partfun3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) ) )  => k9_xtuple_0(k4_rfunct_1(A))=k9_xtuple_0(A)) ) ).
fof(t3_partfun3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  ( (v2_relat_1(C) &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  => k1_relset_1(A, k3_rfunct_1(A, k1_numbers, B, C))=k9_subset_1(A, k1_relset_1(A, B), k1_relset_1(A, C))) ) ) ) ) ) ).
fof(d5_partfun3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (B=k1_partfun3(A) <=>  (k9_xtuple_0(B)=k9_xtuple_0(A) &  (! [C] :  (r2_hidden(C, k9_xtuple_0(B)) => k1_funct_1(B, C)=k3_square_1(k1_funct_1(A, C))) ) ) ) ) ) ) ) ).
fof(dt_k1_partfun3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  =>  (v1_relat_1(k1_partfun3(A)) & v1_funct_1(k1_partfun3(A))) ) ) ).
fof(dt_k2_partfun3, axiom,  (! [A, B, C] :  ( (v3_membered(B) &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v1_funct_1(k2_partfun3(A, B, C)) & m1_subset_1(k2_partfun3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ).
fof(redefinition_k2_partfun3, axiom,  (! [A, B, C] :  ( (v3_membered(B) &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  => k2_partfun3(A, B, C)=k1_partfun3(C)) ) ).
fof(dt_k3_partfun3, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_funct_1(k3_partfun3(A, B)) &  (v1_funct_2(k3_partfun3(A, B), A, k1_numbers) & m1_subset_1(k3_partfun3(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ).
fof(redefinition_k3_partfun3, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  => k3_partfun3(A, B)=k1_partfun3(B)) ) ).
fof(dt_k4_partfun3, axiom,  (! [A, B] :  ( (v2_relat_1(B) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_funct_1(k4_partfun3(A, B)) &  (v1_funct_2(k4_partfun3(A, B), A, k1_numbers) & m1_subset_1(k4_partfun3(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ).
fof(redefinition_k4_partfun3, axiom,  (! [A, B] :  ( (v2_relat_1(B) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  => k4_partfun3(A, B)=k4_rfunct_1(B)) ) ).
fof(dt_k5_partfun3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v2_relat_1(C) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) )  =>  (v1_funct_1(k5_partfun3(A, B, C)) &  (v1_funct_2(k5_partfun3(A, B, C), A, k1_numbers) & m1_subset_1(k5_partfun3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ).
fof(redefinition_k5_partfun3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v2_relat_1(C) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) )  => k5_partfun3(A, B, C)=k1_rfunct_1(B, C)) ) ).
fof(fc1_partfun4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v1_pscomp_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) &  (v1_pscomp_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) )  =>  (v1_funct_1(k1_valued_1(B, C)) &  (v1_funct_2(k1_valued_1(B, C), u1_struct_0(A), k1_numbers) & v1_pscomp_1(k1_valued_1(B, C), A)) ) ) ) ).
fof(fc2_partfun4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v1_pscomp_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) &  (v1_pscomp_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) )  =>  (v1_funct_1(k45_valued_1(B, C)) &  (v1_funct_2(k45_valued_1(B, C), u1_struct_0(A), k1_numbers) & v1_pscomp_1(k45_valued_1(B, C), A)) ) ) ) ).
fof(fc3_partfun4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v1_pscomp_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) &  (v1_pscomp_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) )  =>  (v1_funct_1(k18_valued_1(B, C)) &  (v1_funct_2(k18_valued_1(B, C), u1_struct_0(A), k1_numbers) & v1_pscomp_1(k18_valued_1(B, C), A)) ) ) ) ).
fof(fc4_partfun4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v1_pscomp_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) )  =>  (v1_funct_1(k30_valued_1(B)) &  (v1_funct_2(k30_valued_1(B), u1_struct_0(A), k1_numbers) & v1_pscomp_1(k30_valued_1(B), A)) ) ) ) ).
fof(fc5_partfun4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v1_pscomp_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) )  =>  (v1_funct_1(k54_valued_1(B)) &  (v1_funct_2(k54_valued_1(B), u1_struct_0(A), k1_numbers) & v1_pscomp_1(k54_valued_1(B), A)) ) ) ) ).
fof(rc1_partfun4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))) &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v5_relat_1(B, k1_numbers) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) &  (v1_pscomp_1(B, A) & v1_partfun3(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_partfun4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))) &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v5_relat_1(B, k1_numbers) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) &  (v1_pscomp_1(B, A) & v2_partfun3(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc6_partfun4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v1_pscomp_1(B, A) &  (v4_partfun3(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) )  =>  (v1_funct_1(k1_partfun3(B)) &  (v1_funct_2(k1_partfun3(B), u1_struct_0(A), k1_numbers) & v1_pscomp_1(k1_partfun3(B), A)) ) ) ) ).
fof(fc7_partfun4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v1_pscomp_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) )  & v1_xreal_0(C)) )  =>  (v1_funct_1(k24_valued_1(B, C)) &  (v1_funct_2(k24_valued_1(B, C), u1_struct_0(A), k1_numbers) & v1_pscomp_1(k24_valued_1(B, C), A)) ) ) ) ).
fof(fc8_partfun4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v1_pscomp_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) )  =>  (v1_funct_1(k4_rfunct_1(B)) &  (v1_funct_2(k4_rfunct_1(B), u1_struct_0(A), k1_numbers) & v1_pscomp_1(k4_rfunct_1(B), A)) ) ) ) ).
fof(fc9_partfun4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v1_pscomp_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) )  &  (v2_relat_1(C) &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) &  (v1_pscomp_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) ) )  =>  (v1_funct_1(k1_rfunct_1(B, C)) &  (v1_funct_2(k1_rfunct_1(B, C), u1_struct_0(A), k1_numbers) & v1_pscomp_1(k1_rfunct_1(B, C), A)) ) ) ) ).
fof(fc1_partit1, axiom,  (! [A] :  ~ (v1_xboole_0(k1_partit1(A))) ) ).
fof(t1_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (! [D] :  ( (r2_tarski(C, B) &  (r2_tarski(D, B) & r1_tarski(C, D)) )  => C=D) ) ) ) ) ) ) ).
fof(t2_partit1, axiom,  (! [A] : k3_tarski(k6_subset_1(A, k1_tarski(k1_xboole_0)))=k3_tarski(A)) ).
fof(t3_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_eqrel_1(C, A) =>  ( (r1_setfam_1(C, B) & r1_setfam_1(B, C))  => r1_tarski(C, B)) ) ) ) ) ) ) ).
fof(t4_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_eqrel_1(C, A) =>  ( (r1_setfam_1(C, B) & r1_setfam_1(B, C))  => B=C) ) ) ) ) ) ) ).
fof(t5_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (r1_setfam_1(C, B) => r2_setfam_1(C, B)) ) ) ) ) ) ) ).
fof(d1_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (r1_partit1(A, B, C) <=>  (? [D] :  (r1_tarski(D, B) &  ( ~ (D=k1_xboole_0)  & C=k3_tarski(D)) ) ) ) ) ) ) ) ) ).
fof(d2_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (r2_partit1(A, B, C, D) <=>  (r1_partit1(A, B, D) &  (r1_partit1(A, C, D) &  (! [E] :  ( (r1_tarski(E, D) &  (r1_partit1(A, B, E) & r1_partit1(A, C, E)) )  => E=D) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (r1_setfam_1(C, B) =>  (! [D] :  (r2_tarski(D, B) => r1_partit1(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t7_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) => r1_partit1(A, B, A)) ) ) ) ).
fof(t8_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))) =>  ( (! [D] :  (r2_tarski(D, C) => r1_partit1(A, B, D)) )  =>  (k8_setfam_1(A, C)=k1_xboole_0 | r1_partit1(A, B, k8_setfam_1(A, C))) ) ) ) ) ) ) ) ).
fof(t9_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  ( (r1_partit1(A, B, C) & r1_partit1(A, B, D))  =>  (r1_xboole_0(C, D) | r1_partit1(A, B, k9_subset_1(A, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t10_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (r1_partit1(A, B, C) =>  (C=A | r1_partit1(A, B, k3_subset_1(A, C))) ) ) ) ) ) ) ) ).
fof(t11_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) &  (r2_tarski(D, E) & r2_partit1(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) &  (r2_tarski(C, D) & r2_tarski(D, B)) ) ) ) ) ) ) ) ) ).
fof(d3_partit1, axiom,  (! [A] :  (! [B] :  (B=k1_partit1(A) <=>  (! [C] :  (r2_tarski(C, B) <=> m1_eqrel_1(C, A)) ) ) ) ) ).
fof(d4_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_eqrel_1(C, A) => k2_partit1(A, B, C)=k6_subset_1(k3_setfam_1(B, C), k1_tarski(k1_xboole_0))) ) ) ) ) ) ).
fof(t13_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) => k2_partit1(A, B, B)=B) ) ) ) ).
fof(t14_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) => k2_partit1(A, k2_partit1(A, B, C), D)=k2_partit1(A, B, k2_partit1(A, C, D))) ) ) ) ) ) ) ) ).
fof(t15_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_eqrel_1(C, A) => r1_setfam_1(k2_partit1(A, B, C), B)) ) ) ) ) ) ).
fof(d5_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (D=k3_partit1(A, B, C) <=>  (! [E] :  (r2_tarski(E, D) <=> r2_partit1(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_eqrel_1(C, A) => r1_setfam_1(B, k3_partit1(A, B, C))) ) ) ) ) ) ).
fof(t17_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) => k3_partit1(A, B, B)=B) ) ) ) ).
fof(t18_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  ( (r1_setfam_1(E, F) &  (r2_tarski(B, F) &  (r2_tarski(C, E) &  (r2_tarski(D, B) & r2_tarski(D, C)) ) ) )  => r1_tarski(C, B)) ) ) ) ) ) ) ) ) ) ).
fof(t19_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (m1_eqrel_1(E, A) =>  (! [F] :  (m1_eqrel_1(F, A) =>  ( (r2_tarski(B, k3_partit1(A, E, F)) &  (r2_tarski(C, E) &  (r2_tarski(D, B) & r2_tarski(D, C)) ) )  => r1_tarski(C, B)) ) ) ) ) ) ) ) ) ) ).
fof(d6_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  ( (v1_partfun1(C, A) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (C=k4_partit1(A, B) <=>  (! [D] :  (! [E] :  (r2_hidden(k4_tarski(D, E), C) <=>  (? [F] :  (m1_subset_1(F, k1_zfmisc_1(A)) &  (r2_tarski(F, B) &  (r2_hidden(D, F) & r2_hidden(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (B=k5_partit1(A) <=>  (k9_xtuple_0(B)=k1_partit1(A) &  (! [C] :  ~ ( (r2_hidden(C, k1_partit1(A)) &  (! [D] :  (m1_eqrel_1(D, A) =>  ~ ( (D=C & k1_funct_1(B, C)=k4_partit1(A, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (r1_setfam_1(B, C) <=> r1_tarski(k4_partit1(A, B), k4_partit1(A, C))) ) ) ) ) ) ) ).
fof(t21_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (m2_finseq_1(G, A) =>  ( (r1_tarski(D, A) &  (r2_tarski(E, D) &  (k1_funct_1(G, 1)=E &  (k1_funct_1(G, k3_finseq_1(G))=F &  (r1_xxreal_0(1, k3_finseq_1(G)) &  ( (! [H] :  (v7_ordinal1(H) =>  ~ ( (r1_xxreal_0(1, H) &  ( ~ (r1_xxreal_0(k3_finseq_1(G), H))  &  (! [I] :  (! [J] :  (! [K] :  ~ ( (r2_tarski(I, B) &  (r2_tarski(J, C) &  (r2_tarski(k1_funct_1(G, H), I) &  (r2_tarski(K, I) &  (r2_tarski(K, J) & r2_tarski(k1_funct_1(G, k1_nat_1(H, 1)), J)) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (r1_partit1(A, B, D) & r1_partit1(A, C, D)) ) ) ) ) ) )  => r2_tarski(F, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  ( (v1_partfun1(C, A) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [D] :  (m2_finseq_1(D, A) =>  (! [E] :  (! [F] :  ( (r2_tarski(E, A) &  (k1_funct_1(D, 1)=E &  (k1_funct_1(D, k3_finseq_1(D))=F &  (r1_xxreal_0(1, k3_finseq_1(D)) &  (! [G] :  (v7_ordinal1(G) =>  ~ ( (r1_xxreal_0(1, G) &  ( ~ (r1_xxreal_0(k3_finseq_1(D), G))  &  (! [H] :  ~ ( (r2_tarski(H, A) &  (r2_hidden(k4_tarski(k1_funct_1(D, G), H), k3_eqrel_1(A, B, C)) & r2_hidden(k4_tarski(H, k1_funct_1(D, k1_nat_1(G, 1))), k3_eqrel_1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) )  => r2_hidden(k4_tarski(E, F), k5_eqrel_1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_eqrel_1(C, A) => k4_partit1(A, k3_partit1(A, B, C))=k5_eqrel_1(A, k4_partit1(A, B), k4_partit1(A, C))) ) ) ) ) ) ).
fof(t24_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_eqrel_1(C, A) => k4_partit1(A, k2_partit1(A, B, C))=k4_eqrel_1(A, k4_partit1(A, B), k4_partit1(A, C))) ) ) ) ) ) ).
fof(t25_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (k4_partit1(A, B)=k4_partit1(A, C) => B=C) ) ) ) ) ) ) ).
fof(t26_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) => k3_partit1(A, k3_partit1(A, B, C), D)=k3_partit1(A, B, k3_partit1(A, C, D))) ) ) ) ) ) ) ) ).
fof(t27_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_eqrel_1(C, A) => k2_partit1(A, B, k3_partit1(A, B, C))=B) ) ) ) ) ) ).
fof(t28_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_eqrel_1(C, A) => k3_partit1(A, B, k2_partit1(A, B, C))=B) ) ) ) ) ) ).
fof(t29_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  ( (r1_setfam_1(B, D) & r1_setfam_1(C, D))  => r1_setfam_1(k3_partit1(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t30_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  ( (r1_setfam_1(D, B) & r1_setfam_1(D, C))  => r1_setfam_1(D, k2_partit1(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(d8_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k7_partit1(A)=k1_tarski(A)) ) ).
fof(t32_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (r1_setfam_1(B, k7_partit1(A)) & r1_setfam_1(k6_partit1(A), B)) ) ) ) ) ).
fof(t33_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k4_partit1(A, k7_partit1(A))=k1_eqrel_1(A)) ) ).
fof(t34_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k4_partit1(A, k6_partit1(A))=k4_relat_1(A)) ) ).
fof(t35_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => r1_setfam_1(k6_partit1(A), k7_partit1(A))) ) ).
fof(t36_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (k3_partit1(A, k7_partit1(A), B)=k7_partit1(A) & k2_partit1(A, k7_partit1(A), B)=B) ) ) ) ) ).
fof(t37_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (k3_partit1(A, k6_partit1(A), B)=B & k2_partit1(A, k6_partit1(A), B)=k6_partit1(A)) ) ) ) ) ).
fof(dt_k2_partit1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_eqrel_1(B, A) & m1_eqrel_1(C, A)) )  => m1_eqrel_1(k2_partit1(A, B, C), A)) ) ).
fof(commutativity_k2_partit1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_eqrel_1(B, A) & m1_eqrel_1(C, A)) )  => k2_partit1(A, B, C)=k2_partit1(A, C, B)) ) ).
fof(dt_k3_partit1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_eqrel_1(B, A) & m1_eqrel_1(C, A)) )  => m1_eqrel_1(k3_partit1(A, B, C), A)) ) ).
fof(commutativity_k3_partit1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_eqrel_1(B, A) & m1_eqrel_1(C, A)) )  => k3_partit1(A, B, C)=k3_partit1(A, C, B)) ) ).
fof(dt_k4_partit1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_eqrel_1(B, A))  =>  (v1_partfun1(k4_partit1(A, B), A) &  (v3_relat_2(k4_partit1(A, B)) &  (v8_relat_2(k4_partit1(A, B)) & m1_subset_1(k4_partit1(A, B), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ).
fof(dt_k5_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_relat_1(k5_partit1(A)) & v1_funct_1(k5_partit1(A))) ) ) ).
fof(dt_k6_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => m1_eqrel_1(k6_partit1(A), A)) ) ).
fof(redefinition_k6_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k6_partit1(A)=k10_eqrel_1(A)) ) ).
fof(dt_k7_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => m1_eqrel_1(k7_partit1(A), A)) ) ).
fof(t31_partit1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k6_partit1(A)=a_1_0_partit1(A)) ) ).
fof(fraenkel_a_1_0_partit1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (r2_hidden(A, a_1_0_partit1(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) &  (A=C &  (? [D] :  (C=k1_tarski(D) & r2_tarski(D, B)) ) ) ) ) ) ) ) ).
fof(fc1_partit_2, axiom,  (! [A, B] : v1_xboole_0(k1_partit_2(A, B))) ).
fof(cc1_partit_2, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) &  (v2_relat_2(A) &  (v5_relat_2(A) & v8_relat_2(A)) ) ) ) ) ).
fof(fc2_partit_2, axiom,  (v1_relat_1(k6_funct_5) &  (v1_funct_1(k6_funct_5) & v1_partit_2(k6_funct_5)) ) ).
fof(fc3_partit_2, axiom,  (! [A] :  (v1_relat_1(k4_relat_1(A)) & v1_partit_2(k4_relat_1(A))) ) ).
fof(t1_partit_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k2_bvfunc_2(A, k1_subset_1(k1_bvfunc_2(A)))=k7_partit1(A)) ) ).
fof(t2_partit_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  ( (v1_partfun1(C, A) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  => r1_relset_1(A, A, k3_eqrel_1(A, B, C), k4_relset_1(A, A, A, A, B, C))) ) ) ) ) ) ).
fof(t3_partit_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) => r1_relset_1(A, A, B, k1_eqrel_1(A))) ) ) ) ).
fof(t4_partit_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (r2_relset_1(A, A, k4_relset_1(A, A, A, A, k1_eqrel_1(A), B), k1_eqrel_1(A)) & r2_relset_1(A, A, k4_relset_1(A, A, A, A, B, k1_eqrel_1(A)), k1_eqrel_1(A))) ) ) ) ) ).
fof(t5_partit_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (r2_hidden(k4_tarski(C, D), k4_partit1(A, B)) <=> r2_tarski(C, k15_bvfunc_1(A, D, B))) ) ) ) ) ) ) ) ) ).
fof(t6_partit_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (r2_relset_1(A, A, k4_partit1(A, D), k4_relset_1(A, A, A, A, k4_partit1(A, B), k4_partit1(A, C))) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  (r2_tarski(E, k15_bvfunc_1(A, F, D)) <=>  (? [G] :  (m1_subset_1(G, A) &  (r2_tarski(E, k15_bvfunc_1(A, G, B)) & r2_tarski(G, k15_bvfunc_1(A, F, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_partit_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (! [C] :  ( (r1_relat_2(A, C) & r1_relat_2(B, C))  => r1_relat_2(k3_relat_1(A, B), C)) ) ) ) ) ) ).
fof(t8_partit_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r1_relat_2(A, B) => r1_tarski(B, k1_relat_1(A))) ) ) ) ).
fof(t9_partit_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (r1_relat_2(B, A) => A=k1_relat_1(B)) ) ) ) ).
fof(t10_partit_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [C] :  ( (v1_partfun1(C, A) &  (v3_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (r2_relset_1(A, A, k4_relset_1(A, A, A, A, B, C), k4_relset_1(A, A, A, A, C, B)) =>  (v1_partfun1(k4_relset_1(A, A, A, A, B, C), A) &  (v3_relat_2(k4_relset_1(A, A, A, A, B, C)) &  (v8_relat_2(k4_relset_1(A, A, A, A, B, C)) & m1_subset_1(k4_relset_1(A, A, A, A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ) ) ) ) ) ).
fof(t11_partit_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r1_bvfunc_1(A, B, C) => r1_bvfunc_1(A, k1_bvfunc_1(A, C), k1_bvfunc_1(A, B))) ) ) ) ) ) ) ).
fof(t12_partit_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (r1_bvfunc_1(A, B, C) => r1_bvfunc_1(A, k6_bvfunc_2(A, B, D, E), k6_bvfunc_2(A, C, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_partit_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (r1_bvfunc_1(A, B, C) => r1_bvfunc_1(A, k7_bvfunc_2(A, B, D, E), k7_bvfunc_2(A, C, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_partit_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (v2_bvfunc_2(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_bvfunc_2(A))) =>  ( (r1_tarski(C, B) & r1_tarski(D, B))  => r2_relset_1(A, A, k4_relset_1(A, A, A, A, k4_partit1(A, k2_bvfunc_2(A, C)), k4_partit1(A, k2_bvfunc_2(A, D))), k4_relset_1(A, A, A, A, k4_partit1(A, k2_bvfunc_2(A, D)), k4_partit1(A, k2_bvfunc_2(A, C))))) ) ) ) ) ) ) ) ) ) ).
fof(t15_partit_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r2_funct_2(A, k5_margrel1, k6_bvfunc_2(A, k6_bvfunc_2(A, B, C, D), C, E), k6_bvfunc_2(A, k6_bvfunc_2(A, B, C, E), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_partit_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r2_funct_2(A, k5_margrel1, k7_bvfunc_2(A, k7_bvfunc_2(A, B, C, D), C, E), k7_bvfunc_2(A, k7_bvfunc_2(A, B, C, E), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_partit_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m1_eqrel_1(E, A) =>  (v2_bvfunc_2(C, A) => r1_bvfunc_1(A, k7_bvfunc_2(A, k6_bvfunc_2(A, B, C, D), C, E), k6_bvfunc_2(A, k7_bvfunc_2(A, B, C, E), C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_partit_2, axiom,  (! [A] :  (! [B] : k1_partit_2(A, B)=k1_xboole_0) ) ).
fof(t18_partit_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k1_relat_1(k4_relat_1(A))=A) ) ).
fof(t19_partit_2, axiom, k8_funct_5=k1_tarski(k4_tarski(k1_xboole_0, k1_xboole_0))).
fof(t20_partit_2, axiom,  (! [A] :  (! [B] : k1_relat_1(k1_partit_2(A, B))=k1_xboole_0) ) ).
fof(t21_partit_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (r1_relat_2(B, A) =>  (v1_relat_2(B) & k1_relat_1(B)=A) ) ) ) ) ) ).
fof(t22_partit_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (r3_relat_2(B, A) => v3_relat_2(B)) ) ) ) ) ).
fof(t23_partit_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B))) =>  (v3_relat_2(C) => r3_relat_2(C, A)) ) ) ) ) ) ) ).
fof(t24_partit_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B))) =>  (v4_relat_2(C) => r4_relat_2(C, A)) ) ) ) ) ) ) ).
fof(t25_partit_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (r4_relat_2(B, A) => v4_relat_2(B)) ) ) ) ) ).
fof(t26_partit_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B))) =>  (v8_relat_2(C) => r8_relat_2(C, A)) ) ) ) ) ) ) ).
fof(t27_partit_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (r8_relat_2(B, A) => v8_relat_2(B)) ) ) ) ) ).
fof(t28_partit_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B))) =>  (v5_relat_2(C) => r5_relat_2(C, A)) ) ) ) ) ) ) ).
fof(t29_partit_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (r5_relat_2(B, A) => v5_relat_2(B)) ) ) ) ) ).
fof(t30_partit_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B))) =>  ( (v2_relat_2(C) & r1_tarski(k1_relat_1(C), A))  => r2_relat_2(C, A)) ) ) ) ) ) ) ).
fof(t31_partit_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (r2_relat_2(B, A) => v2_relat_2(B)) ) ) ) ) ).
fof(d2_partit_2, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_partit_2(A) <=>  (! [B] :  (r2_tarski(B, k9_xtuple_0(A)) => k1_funct_1(A, k1_funct_1(A, B))=B) ) ) ) ) ).
fof(d3_partit_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (v1_partit_2(B) <=>  (! [C] :  (m1_subset_1(C, A) => k3_funct_2(A, A, B, k3_funct_2(A, A, B, C))=C) ) ) ) ) ) ) ).
fof(dt_m1_partit_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A)))) )  =>  (! [C] :  (m1_partit_2(C, A, B) => m1_eqrel_1(C, A)) ) ) ) ).
fof(existence_m1_partit_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A)))) )  =>  (? [C] : m1_partit_2(C, A, B)) ) ) ).
fof(redefinition_m1_partit_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A)))) )  =>  (! [C] :  (m1_partit_2(C, A, B) <=> m1_subset_1(C, B)) ) ) ) ).
fof(dt_k1_partit_2, axiom,  (! [A, B] : m1_subset_1(k1_partit_2(A, B), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ).
fof(dt_k2_partit_2, axiom,  (! [A, B] : m1_subset_1(k2_partit_2(A, B), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ).
fof(redefinition_k2_partit_2, axiom,  (! [A, B] : k2_partit_2(A, B)=k2_zfmisc_1(A, B)) ).
fof(redefinition_v2_partit_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (v2_partit_2(B, A) <=> v1_partit_2(B)) ) ) ).
fof(fc1_partpr_1, axiom,  (! [A] :  (v4_funct_1(k1_partpr_1(A)) &  ~ (v1_xboole_0(k1_partpr_1(A))) ) ) ).
fof(fc2_partpr_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, A, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) )  =>  ( ~ (v2_struct_0(g4_robbins1(A, B, C, D)))  & v4_robbins1(g4_robbins1(A, B, C, D))) ) ) ).
fof(fc3_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k14_partpr_1(A)))  &  (v1_monoid_0(k14_partpr_1(A)) & v4_robbins1(k14_partpr_1(A))) ) ) ) ).
fof(rc1_partpr_1, axiom,  (? [A] :  (l3_lattices(A) &  ( ~ (v2_struct_0(A))  & v1_monoid_0(A)) ) ) ).
fof(rc2_partpr_1, axiom,  (? [A] :  (l4_robbins1(A) &  ( ~ (v2_struct_0(A))  &  (v1_monoid_0(A) & v4_robbins1(A)) ) ) ) ).
fof(fc4_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v10_lattices(k14_partpr_1(A)) & v4_robbins1(k14_partpr_1(A))) ) ) ).
fof(fc5_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v15_lattices(k14_partpr_1(A)) & v4_robbins1(k14_partpr_1(A))) ) ) ).
fof(fc6_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v4_robbins1(k14_partpr_1(A)) &  (v7_robbins1(k14_partpr_1(A)) &  (v9_robbins1(k14_partpr_1(A)) & v10_robbins1(k14_partpr_1(A))) ) ) ) ) ).
fof(cc1_partpr_1, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  &  (v1_monoid_0(A) & v2_partpr_1(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v11_lattices(A) &  (v15_lattices(A) &  (v1_monoid_0(A) & v1_partpr_1(A)) ) ) ) ) ) ) ).
fof(cc2_partpr_1, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  &  (v11_lattices(A) &  (v15_lattices(A) &  (v1_monoid_0(A) & v1_partpr_1(A)) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v1_monoid_0(A) & v2_partpr_1(A)) ) ) ) ) ).
fof(fc7_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v4_robbins1(k14_partpr_1(A)) & v2_partpr_1(k14_partpr_1(A))) ) ) ).
fof(cc3_partpr_1, axiom,  (! [A] :  (l4_robbins1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v6_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v17_lattices(A) & v8_robbins1(A)) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v6_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) & v3_partpr_1(A)) ) ) ) ) ) ) ).
fof(fc8_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v4_robbins1(k14_partpr_1(A)) & v3_partpr_1(k14_partpr_1(A))) ) ) ).
fof(rc3_partpr_1, axiom,  (? [A] :  (l3_lattices(A) &  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v1_monoid_0(A) &  (v7_robbins1(A) & v2_partpr_1(A)) ) ) ) ) ) ).
fof(rc4_partpr_1, axiom,  (? [A] :  (l4_robbins1(A) &  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_robbins1(A) &  (v7_robbins1(A) &  (v9_robbins1(A) &  (v10_robbins1(A) & v3_partpr_1(A)) ) ) ) ) ) ) ) ).
fof(rc5_partpr_1, axiom,  (? [A] :  (l4_robbins1(A) &  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v1_monoid_0(A) &  (v4_robbins1(A) &  (v7_robbins1(A) &  (v9_robbins1(A) &  (v10_robbins1(A) &  (v2_partpr_1(A) & v3_partpr_1(A)) ) ) ) ) ) ) ) ) ) ).
fof(d1_partpr_1, axiom,  (! [A] : k1_partpr_1(A)=k4_partfun1(A, k5_margrel1)) ).
fof(t1_partpr_1, axiom,  (! [A] :  (! [B] :  (r2_hidden(A, k1_partpr_1(B)) =>  (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1)))) ) ) ) ).
fof(t2_partpr_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => r2_tarski(B, k1_partpr_1(A))) ) ) ).
fof(t3_partpr_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  (k1_funct_1(C, A)=k7_margrel1 | k1_funct_1(C, A)=k6_margrel1) ) ) ) ) ).
fof(d2_partpr_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_partpr_1(A), k1_partpr_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_partpr_1(A), k1_partpr_1(A))))) )  =>  (B=k2_partpr_1(A) <=>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (k9_xtuple_0(k1_funct_1(B, C))=k1_relset_1(A, C) &  (! [D] :  ( ( (r2_hidden(D, k1_relset_1(A, C)) & k1_funct_1(C, D)=k7_margrel1)  => k1_funct_1(k1_funct_1(B, C), D)=k6_margrel1)  &  ( (r2_hidden(D, k1_relset_1(A, C)) & k1_funct_1(C, D)=k6_margrel1)  => k1_funct_1(k1_funct_1(B, C), D)=k7_margrel1) ) ) ) ) ) ) ) ) ) ).
fof(d3_partpr_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k3_partpr_1(A, B)=k1_funct_1(k2_partpr_1(A), B)) ) ) ).
fof(t4_partpr_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  ( (r2_hidden(A, k1_relset_1(B, C)) & k1_funct_1(k3_partpr_1(B, C), A)=k6_margrel1)  => k1_funct_1(C, A)=k7_margrel1) ) ) ) ) ).
fof(t5_partpr_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  ( (r2_hidden(A, k1_relset_1(B, C)) & k1_funct_1(k3_partpr_1(B, C), A)=k7_margrel1)  => k1_funct_1(C, A)=k6_margrel1) ) ) ) ) ).
fof(t6_partpr_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  ( (r2_hidden(A, k1_relset_1(B, k3_partpr_1(B, C))) & k1_funct_1(k3_partpr_1(B, C), A)=k6_margrel1)  =>  (r2_hidden(A, k1_relset_1(B, C)) & k1_funct_1(C, A)=k7_margrel1) ) ) ) ) ) ).
fof(t7_partpr_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  ( (r2_hidden(A, k1_relset_1(B, k3_partpr_1(B, C))) & k1_funct_1(k3_partpr_1(B, C), A)=k7_margrel1)  =>  (r2_hidden(A, k1_relset_1(B, C)) & k1_funct_1(C, A)=k6_margrel1) ) ) ) ) ) ).
fof(d5_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k5_partpr_1(A, B, C)=k1_binop_1(k4_partpr_1(A), B, C)) ) ) ) ) ) ).
fof(t8_partpr_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  ~ ( (r2_hidden(A, k1_relset_1(B, k5_partpr_1(B, C, D))) &  ( ~ ( (r2_hidden(A, k1_relset_1(B, C)) & k1_funct_1(C, A)=k7_margrel1) )  &  ( ~ ( (r2_hidden(A, k1_relset_1(B, D)) & k1_funct_1(D, A)=k7_margrel1) )  &  ~ ( (r2_hidden(A, k1_relset_1(B, C)) &  (k1_funct_1(C, A)=k6_margrel1 &  (r2_hidden(A, k1_relset_1(B, D)) & k1_funct_1(D, A)=k6_margrel1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_partpr_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  ~ ( (r2_hidden(A, k1_relset_1(B, C)) &  (r2_hidden(A, k1_relset_1(B, D)) &  (k1_funct_1(k5_partpr_1(B, C, D), A)=k7_margrel1 &  ( ~ (k1_funct_1(C, A)=k7_margrel1)  &  ~ (k1_funct_1(D, A)=k7_margrel1) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_partpr_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  ~ ( (r2_hidden(A, k1_relset_1(B, k5_partpr_1(B, C, D))) &  (k1_funct_1(k5_partpr_1(B, C, D), A)=k7_margrel1 &  ( ~ ( (r2_hidden(A, k1_relset_1(B, C)) & k1_funct_1(C, A)=k7_margrel1) )  &  ~ ( (r2_hidden(A, k1_relset_1(B, D)) & k1_funct_1(D, A)=k7_margrel1) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_partpr_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  ( (r2_hidden(A, k1_relset_1(B, C)) & k1_funct_1(k5_partpr_1(B, C, D), A)=k6_margrel1)  => k1_funct_1(C, A)=k6_margrel1) ) ) ) ) ) ) ) ).
fof(t12_partpr_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  ( (r2_hidden(A, k1_relset_1(B, D)) & k1_funct_1(k5_partpr_1(B, C, D), A)=k6_margrel1)  => k1_funct_1(D, A)=k6_margrel1) ) ) ) ) ) ) ) ).
fof(t13_partpr_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  ( (r2_hidden(A, k1_relset_1(B, k5_partpr_1(B, C, D))) & k1_funct_1(k5_partpr_1(B, C, D), A)=k6_margrel1)  =>  (r2_hidden(A, k1_relset_1(B, C)) &  (k1_funct_1(C, A)=k6_margrel1 &  (r2_hidden(A, k1_relset_1(B, D)) & k1_funct_1(D, A)=k6_margrel1) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k5_partpr_1(A, B, k5_partpr_1(A, C, D))=k5_partpr_1(A, k5_partpr_1(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t15_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k5_partpr_1(A, k5_partpr_1(A, B, C), k5_partpr_1(A, B, D))=k5_partpr_1(A, k5_partpr_1(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(d6_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k6_partpr_1(A, B, C)=k3_partpr_1(A, k5_partpr_1(A, k3_partpr_1(A, B), k3_partpr_1(A, C)))) ) ) ) ) ) ).
fof(d7_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k7_partpr_1(A, B, C)=k5_partpr_1(A, k3_partpr_1(A, B), C)) ) ) ) ) ) ).
fof(t17_partpr_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  ~ ( (r2_hidden(A, k1_relset_1(B, k6_partpr_1(B, C, D))) &  ( ~ ( (r2_hidden(A, k1_relset_1(B, C)) & k1_funct_1(C, A)=k6_margrel1) )  &  ( ~ ( (r2_hidden(A, k1_relset_1(B, D)) & k1_funct_1(D, A)=k6_margrel1) )  &  ~ ( (r2_hidden(A, k1_relset_1(B, C)) &  (k1_funct_1(C, A)=k7_margrel1 &  (r2_hidden(A, k1_relset_1(B, D)) & k1_funct_1(D, A)=k7_margrel1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_partpr_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  ( (r2_hidden(A, k1_relset_1(B, C)) &  (k1_funct_1(C, A)=k7_margrel1 &  (r2_hidden(A, k1_relset_1(B, D)) & k1_funct_1(D, A)=k7_margrel1) ) )  => k1_funct_1(k6_partpr_1(B, C, D), A)=k7_margrel1) ) ) ) ) ) ) ) ).
fof(t19_partpr_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  ( (r2_hidden(A, k1_relset_1(B, C)) & k1_funct_1(C, A)=k6_margrel1)  => k1_funct_1(k6_partpr_1(B, C, D), A)=k6_margrel1) ) ) ) ) ) ) ) ).
fof(t20_partpr_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  ( (r2_hidden(A, k1_relset_1(B, D)) & k1_funct_1(D, A)=k6_margrel1)  => k1_funct_1(k6_partpr_1(B, C, D), A)=k6_margrel1) ) ) ) ) ) ) ) ).
fof(t21_partpr_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  ( (r2_hidden(A, k1_relset_1(B, C)) & k1_funct_1(k6_partpr_1(B, C, D), A)=k7_margrel1)  => k1_funct_1(C, A)=k7_margrel1) ) ) ) ) ) ) ) ).
fof(t22_partpr_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  ( (r2_hidden(A, k1_relset_1(B, D)) & k1_funct_1(k6_partpr_1(B, C, D), A)=k7_margrel1)  => k1_funct_1(D, A)=k7_margrel1) ) ) ) ) ) ) ) ).
fof(t23_partpr_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  ( (r2_hidden(A, k1_relset_1(B, k6_partpr_1(B, C, D))) & k1_funct_1(k6_partpr_1(B, C, D), A)=k7_margrel1)  =>  (r2_hidden(A, k1_relset_1(B, C)) &  (k1_funct_1(C, A)=k7_margrel1 &  (r2_hidden(A, k1_relset_1(B, D)) & k1_funct_1(D, A)=k7_margrel1) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_partpr_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  ~ ( (r2_hidden(A, k1_relset_1(B, C)) &  (r2_hidden(A, k1_relset_1(B, D)) &  (k1_funct_1(k6_partpr_1(B, C, D), A)=k6_margrel1 &  ( ~ (k1_funct_1(C, A)=k6_margrel1)  &  ~ (k1_funct_1(D, A)=k6_margrel1) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_partpr_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  ~ ( (r2_hidden(A, k1_relset_1(B, k6_partpr_1(B, C, D))) &  (k1_funct_1(k6_partpr_1(B, C, D), A)=k6_margrel1 &  ( ~ ( (r2_hidden(A, k1_relset_1(B, C)) & k1_funct_1(C, A)=k6_margrel1) )  &  ~ ( (r2_hidden(A, k1_relset_1(B, D)) & k1_funct_1(D, A)=k6_margrel1) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k6_partpr_1(A, B, k6_partpr_1(A, C, D))=k6_partpr_1(A, k6_partpr_1(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t27_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k6_partpr_1(A, k6_partpr_1(A, B, C), k6_partpr_1(A, B, D))=k6_partpr_1(A, k6_partpr_1(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t28_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k5_partpr_1(A, k6_partpr_1(A, B, C), C)=C) ) ) ) ) ) ).
fof(t29_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k6_partpr_1(A, B, k5_partpr_1(A, B, C))=B) ) ) ) ) ) ).
fof(t30_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k6_partpr_1(A, B, k5_partpr_1(A, C, D))=k5_partpr_1(A, k6_partpr_1(A, B, C), k6_partpr_1(A, B, D))) ) ) ) ) ) ) ) ).
fof(t32_partpr_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  ~ ( (r2_hidden(A, k1_relset_1(B, k7_partpr_1(B, C, D))) &  ( ~ ( (r2_hidden(A, k1_relset_1(B, C)) & k1_funct_1(C, A)=k6_margrel1) )  &  ( ~ ( (r2_hidden(A, k1_relset_1(B, D)) & k1_funct_1(D, A)=k7_margrel1) )  &  ~ ( (r2_hidden(A, k1_relset_1(B, C)) &  (k1_funct_1(C, A)=k7_margrel1 &  (r2_hidden(A, k1_relset_1(B, D)) & k1_funct_1(D, A)=k6_margrel1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_partpr_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  ( (r2_hidden(A, k1_relset_1(B, C)) & k1_funct_1(C, A)=k6_margrel1)  => k1_funct_1(k7_partpr_1(B, C, D), A)=k7_margrel1) ) ) ) ) ) ) ) ).
fof(t34_partpr_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  ( (r2_hidden(A, k1_relset_1(B, D)) & k1_funct_1(D, A)=k7_margrel1)  => k1_funct_1(k7_partpr_1(B, C, D), A)=k7_margrel1) ) ) ) ) ) ) ) ).
fof(t35_partpr_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  ( (r2_hidden(A, k1_relset_1(B, C)) &  (k1_funct_1(C, A)=k7_margrel1 &  (r2_hidden(A, k1_relset_1(B, D)) & k1_funct_1(D, A)=k6_margrel1) ) )  => k1_funct_1(k7_partpr_1(B, C, D), A)=k6_margrel1) ) ) ) ) ) ) ) ).
fof(t36_partpr_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  ~ ( (r2_hidden(A, k1_relset_1(B, C)) &  (r2_hidden(A, k1_relset_1(B, D)) &  (k1_funct_1(k7_partpr_1(B, C, D), A)=k7_margrel1 &  ( ~ (k1_funct_1(C, A)=k6_margrel1)  &  ~ (k1_funct_1(D, A)=k7_margrel1) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_partpr_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  ( (r2_hidden(A, k1_relset_1(B, C)) & k1_funct_1(k7_partpr_1(B, C, D), A)=k6_margrel1)  => k1_funct_1(C, A)=k7_margrel1) ) ) ) ) ) ) ) ).
fof(t38_partpr_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  ( (r2_hidden(A, k1_relset_1(B, D)) & k1_funct_1(k7_partpr_1(B, C, D), A)=k6_margrel1)  => k1_funct_1(D, A)=k6_margrel1) ) ) ) ) ) ) ) ).
fof(t39_partpr_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  ( (r2_hidden(A, k1_relset_1(B, k7_partpr_1(B, C, D))) & k1_funct_1(k7_partpr_1(B, C, D), A)=k6_margrel1)  =>  (r2_hidden(A, k1_relset_1(B, C)) &  (k1_funct_1(C, A)=k7_margrel1 &  (r2_hidden(A, k1_relset_1(B, D)) & k1_funct_1(D, A)=k6_margrel1) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_partpr_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  ~ ( (r2_hidden(A, k1_relset_1(B, k7_partpr_1(B, C, D))) &  (k1_funct_1(k7_partpr_1(B, C, D), A)=k7_margrel1 &  ( ~ ( (r2_hidden(A, k1_relset_1(B, C)) & k1_funct_1(C, A)=k6_margrel1) )  &  ~ ( (r2_hidden(A, k1_relset_1(B, D)) & k1_funct_1(D, A)=k7_margrel1) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k6_partpr_1(A, k7_partpr_1(A, B, D), k7_partpr_1(A, C, D))=k7_partpr_1(A, k5_partpr_1(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t42_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k5_partpr_1(A, k7_partpr_1(A, B, D), k7_partpr_1(A, C, D))=k7_partpr_1(A, k6_partpr_1(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(d8_partpr_1, axiom,  (! [A] : k8_partpr_1(A)=k7_funcop_1(A, k7_margrel1)) ).
fof(d9_partpr_1, axiom,  (! [A] : k9_partpr_1(A)=k7_funcop_1(A, k6_margrel1)) ).
fof(t43_partpr_1, axiom,  (! [A] : k3_partpr_1(A, k9_partpr_1(A))=k8_partpr_1(A)) ).
fof(t44_partpr_1, axiom,  (! [A] : k3_partpr_1(A, k8_partpr_1(A))=k9_partpr_1(A)) ).
fof(t45_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k5_partpr_1(A, B, k8_partpr_1(A))=k8_partpr_1(A)) ) ) ) ).
fof(t46_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k5_partpr_1(A, k8_partpr_1(A), B)=k8_partpr_1(A)) ) ) ) ).
fof(t47_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k6_partpr_1(A, B, k9_partpr_1(A))=k9_partpr_1(A)) ) ) ) ).
fof(t48_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k6_partpr_1(A, k9_partpr_1(A), B)=k9_partpr_1(A)) ) ) ) ).
fof(t49_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k5_partpr_1(A, B, k3_partpr_1(A, B))=k2_partfun1(A, k5_margrel1, k8_partpr_1(A), k1_relset_1(A, B))) ) ) ) ).
fof(t50_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k5_partpr_1(A, k3_partpr_1(A, B), B)=k2_partfun1(A, k5_margrel1, k8_partpr_1(A), k1_relset_1(A, B))) ) ) ) ).
fof(t51_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k6_partpr_1(A, B, k3_partpr_1(A, B))=k2_partfun1(A, k5_margrel1, k9_partpr_1(A), k1_relset_1(A, B))) ) ) ) ).
fof(t52_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k6_partpr_1(A, k3_partpr_1(A, B), B)=k2_partfun1(A, k5_margrel1, k9_partpr_1(A), k1_relset_1(A, B))) ) ) ) ).
fof(t53_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k7_partpr_1(A, k9_partpr_1(A), B)=k8_partpr_1(A)) ) ) ) ).
fof(t54_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k7_partpr_1(A, B, k8_partpr_1(A))=k8_partpr_1(A)) ) ) ) ).
fof(t55_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k5_partpr_1(A, k2_partfun1(A, k5_margrel1, k9_partpr_1(A), k1_relset_1(A, B)), k2_partfun1(A, k5_margrel1, k8_partpr_1(A), k1_relset_1(A, C)))=k2_partfun1(A, k5_margrel1, k8_partpr_1(A), k1_relset_1(A, C))) ) ) ) ) ) ).
fof(d10_partpr_1, axiom,  (! [A] : k10_partpr_1(A)=k1_xboole_0) ).
fof(t56_partpr_1, axiom,  (! [A] : k3_partpr_1(A, k10_partpr_1(A))=k10_partpr_1(A)) ).
fof(t57_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k5_partpr_1(A, k10_partpr_1(A), k8_partpr_1(A))=k8_partpr_1(A)) ) ).
fof(t58_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k6_partpr_1(A, k10_partpr_1(A), k9_partpr_1(A))=k9_partpr_1(A)) ) ).
fof(t59_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k7_partpr_1(A, k10_partpr_1(A), k8_partpr_1(A))=k8_partpr_1(A)) ) ).
fof(d11_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k1_partpr_1(A), k1_partpr_1(A)), k1_partpr_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_partpr_1(A), k1_partpr_1(A)), k1_partpr_1(A))))) )  =>  (B=k11_partpr_1(A) <=>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k1_binop_1(B, C, D)=k6_partpr_1(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(d12_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k1_partpr_1(A), k1_partpr_1(A)), k1_partpr_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_partpr_1(A), k1_partpr_1(A)), k1_partpr_1(A))))) )  =>  (B=k12_partpr_1(A) <=>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k1_binop_1(B, C, D)=k5_partpr_1(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(d13_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_partpr_1(A), k1_partpr_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_partpr_1(A), k1_partpr_1(A))))) )  =>  (B=k13_partpr_1(A) <=>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k1_funct_1(B, C)=k3_partpr_1(A, C)) ) ) ) ) ) ) ).
fof(d14_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k14_partpr_1(A)=g4_robbins1(k1_partpr_1(A), k12_partpr_1(A), k11_partpr_1(A), k13_partpr_1(A))) ) ).
fof(t60_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k6_lattices(k14_partpr_1(A))=k8_partpr_1(A)) ) ).
fof(t61_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k5_lattices(k14_partpr_1(A))=k9_partpr_1(A)) ) ).
fof(d15_partpr_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_monoid_0(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_partpr_1(A, B, C) <=>  (k1_lattices(A, B, C)=k5_relat_1(k6_lattices(A), k9_xtuple_0(C)) &  (k1_lattices(A, C, B)=k5_relat_1(k6_lattices(A), k9_xtuple_0(C)) &  (k2_lattices(A, B, C)=k5_relat_1(k5_lattices(A), k9_xtuple_0(C)) & k2_lattices(A, C, B)=k5_relat_1(k5_lattices(A), k9_xtuple_0(C))) ) ) ) ) ) ) ) ) ) ).
fof(d16_partpr_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_monoid_0(A) & l3_lattices(A)) )  =>  (v1_partpr_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & r1_partpr_1(A, C, B)) ) ) ) ) ) ) ).
fof(d17_partpr_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_monoid_0(A) & l3_lattices(A)) )  =>  (v2_partpr_1(A) <=>  (v15_lattices(A) &  (v1_partpr_1(A) & v11_lattices(A)) ) ) ) ) ).
fof(t62_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_partpr_1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_partpr_1(A))) =>  ( (C=B & D=k3_partpr_1(A, B))  => r1_partpr_1(k14_partpr_1(A), D, C)) ) ) ) ) ) ) ) ) ).
fof(t63_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k5_partpr_1(A, B, k6_partpr_1(A, C, D))=k6_partpr_1(A, k5_partpr_1(A, B, C), k5_partpr_1(A, B, D))) ) ) ) ) ) ) ) ).
fof(d18_partpr_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_robbins1(A))  =>  (v3_partpr_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_lattices(A, k2_lattices(A, B, k3_robbins1(A, B)), k1_lattices(A, C, k3_robbins1(A, C)))) ) ) ) ) ) ) ).
fof(dt_k2_partpr_1, axiom,  (! [A] :  (v1_funct_1(k2_partpr_1(A)) &  (v1_funct_2(k2_partpr_1(A), k1_partpr_1(A), k1_partpr_1(A)) & m1_subset_1(k2_partpr_1(A), k1_zfmisc_1(k2_zfmisc_1(k1_partpr_1(A), k1_partpr_1(A))))) ) ) ).
fof(dt_k3_partpr_1, axiom,  (! [A, B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (v1_funct_1(k3_partpr_1(A, B)) & m1_subset_1(k3_partpr_1(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ).
fof(involutiveness_k3_partpr_1, axiom,  (! [A, B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k3_partpr_1(A, k3_partpr_1(A, B))=B) ) ).
fof(dt_k4_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k4_partpr_1(A)) &  (v1_funct_2(k4_partpr_1(A), k2_zfmisc_1(k1_partpr_1(A), k1_partpr_1(A)), k1_partpr_1(A)) & m1_subset_1(k4_partpr_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_partpr_1(A), k1_partpr_1(A)), k1_partpr_1(A))))) ) ) ) ).
fof(dt_k5_partpr_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) )  =>  (v1_funct_1(k5_partpr_1(A, B, C)) & m1_subset_1(k5_partpr_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ).
fof(commutativity_k5_partpr_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) )  => k5_partpr_1(A, B, C)=k5_partpr_1(A, C, B)) ) ).
fof(idempotence_k5_partpr_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) )  => k5_partpr_1(A, B, B)=B) ) ).
fof(dt_k6_partpr_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) )  =>  (v1_funct_1(k6_partpr_1(A, B, C)) & m1_subset_1(k6_partpr_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ).
fof(commutativity_k6_partpr_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) )  => k6_partpr_1(A, B, C)=k6_partpr_1(A, C, B)) ) ).
fof(idempotence_k6_partpr_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) )  => k6_partpr_1(A, B, B)=B) ) ).
fof(dt_k7_partpr_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) )  =>  (v1_funct_1(k7_partpr_1(A, B, C)) & m1_subset_1(k7_partpr_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ).
fof(dt_k8_partpr_1, axiom,  (! [A] :  (v1_funct_1(k8_partpr_1(A)) & m1_subset_1(k8_partpr_1(A), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ).
fof(dt_k9_partpr_1, axiom,  (! [A] :  (v1_funct_1(k9_partpr_1(A)) & m1_subset_1(k9_partpr_1(A), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ).
fof(dt_k10_partpr_1, axiom,  (! [A] :  (v1_funct_1(k10_partpr_1(A)) & m1_subset_1(k10_partpr_1(A), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ).
fof(dt_k11_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k11_partpr_1(A)) &  (v1_funct_2(k11_partpr_1(A), k2_zfmisc_1(k1_partpr_1(A), k1_partpr_1(A)), k1_partpr_1(A)) & m1_subset_1(k11_partpr_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_partpr_1(A), k1_partpr_1(A)), k1_partpr_1(A))))) ) ) ) ).
fof(dt_k12_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k12_partpr_1(A)) &  (v1_funct_2(k12_partpr_1(A), k2_zfmisc_1(k1_partpr_1(A), k1_partpr_1(A)), k1_partpr_1(A)) & m1_subset_1(k12_partpr_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_partpr_1(A), k1_partpr_1(A)), k1_partpr_1(A))))) ) ) ) ).
fof(dt_k13_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k13_partpr_1(A)) &  (v1_funct_2(k13_partpr_1(A), k1_partpr_1(A), k1_partpr_1(A)) & m1_subset_1(k13_partpr_1(A), k1_zfmisc_1(k2_zfmisc_1(k1_partpr_1(A), k1_partpr_1(A))))) ) ) ) ).
fof(dt_k14_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v4_robbins1(k14_partpr_1(A)) & l4_robbins1(k14_partpr_1(A))) ) ) ).
fof(d4_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k1_partpr_1(A), k1_partpr_1(A)), k1_partpr_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_partpr_1(A), k1_partpr_1(A)), k1_partpr_1(A))))) )  =>  (B=k4_partpr_1(A) <=>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (k9_xtuple_0(k1_binop_1(B, C, D))=a_3_0_partpr_1(A, C, D) &  (! [E] :  ( ( ( (r2_hidden(E, k1_relset_1(A, C)) & k1_funct_1(C, E)=k7_margrel1)  |  (r2_hidden(E, k1_relset_1(A, D)) & k1_funct_1(D, E)=k7_margrel1) )  => k1_funct_1(k1_binop_1(B, C, D), E)=k7_margrel1)  &  ( (r2_hidden(E, k1_relset_1(A, C)) &  (k1_funct_1(C, E)=k6_margrel1 &  (r2_hidden(E, k1_relset_1(A, D)) & k1_funct_1(D, E)=k6_margrel1) ) )  => k1_funct_1(k1_binop_1(B, C, D), E)=k6_margrel1) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k1_relset_1(A, k6_partpr_1(A, B, C))=a_3_1_partpr_1(A, B, C)) ) ) ) ) ) ).
fof(t31_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k1_relset_1(A, k7_partpr_1(A, B, C))=a_3_2_partpr_1(A, B, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_partpr_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1)))) ) )  =>  (r2_hidden(A, a_3_0_partpr_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, B) &  (A=E &  ~ ( ( ~ ( (r2_tarski(E, k1_relset_1(B, C)) & k1_funct_1(C, E)=k7_margrel1) )  &  ( ~ ( (r2_tarski(E, k1_relset_1(B, D)) & k1_funct_1(D, E)=k7_margrel1) )  &  ~ ( (r2_tarski(E, k1_relset_1(B, C)) &  (k1_funct_1(C, E)=k6_margrel1 &  (r2_tarski(E, k1_relset_1(B, D)) & k1_funct_1(D, E)=k6_margrel1) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_partpr_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1)))) ) )  =>  (r2_hidden(A, a_3_1_partpr_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, B) &  (A=E &  ~ ( ( ~ ( (r2_tarski(E, k1_relset_1(B, C)) & k1_funct_1(C, E)=k6_margrel1) )  &  ( ~ ( (r2_tarski(E, k1_relset_1(B, D)) & k1_funct_1(D, E)=k6_margrel1) )  &  ~ ( (r2_tarski(E, k1_relset_1(B, C)) &  (k1_funct_1(C, E)=k7_margrel1 &  (r2_tarski(E, k1_relset_1(B, D)) & k1_funct_1(D, E)=k7_margrel1) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_2_partpr_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1)))) ) )  =>  (r2_hidden(A, a_3_2_partpr_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, B) &  (A=E &  ~ ( ( ~ ( (r2_tarski(E, k1_relset_1(B, C)) & k1_funct_1(C, E)=k6_margrel1) )  &  ( ~ ( (r2_tarski(E, k1_relset_1(B, D)) & k1_funct_1(D, E)=k7_margrel1) )  &  ~ ( (r2_tarski(E, k1_relset_1(B, C)) &  (k1_funct_1(C, E)=k7_margrel1 &  (r2_tarski(E, k1_relset_1(B, D)) & k1_funct_1(D, E)=k6_margrel1) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_pascal, axiom,  (v5_rltopsp1(k15_euclid(3)) & v1_anproj_2(k15_euclid(3))) ).
fof(t1_pascal, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  (k6_euclid_5(A, B, C)=k6_euclid_5(C, A, B) & k6_euclid_5(A, B, C)=k6_euclid_5(B, C, A)) ) ) ) ) ) ) ).
fof(t2_pascal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  (! [L] :  (m1_subset_1(L, u1_struct_0(A)) =>  (! [M] :  (m1_subset_1(M, u1_struct_0(A)) =>  (! [N] :  (m1_subset_1(N, u1_struct_0(A)) =>  (! [O] :  (m1_subset_1(O, u1_struct_0(A)) =>  (! [P] :  (m1_subset_1(P, u1_struct_0(A)) =>  (! [Q] :  (m1_subset_1(Q, u1_struct_0(A)) =>  (! [R] :  (m1_subset_1(R, u1_struct_0(A)) =>  (! [S] :  (m1_subset_1(S, u1_struct_0(A)) =>  (k3_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))), k3_finseq_4(u1_struct_0(A), B, C, D), k3_finseq_4(u1_struct_0(A), E, F, G), k3_finseq_4(u1_struct_0(A), H, I, J))=k3_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))), k3_finseq_4(u1_struct_0(A), K, L, M), k3_finseq_4(u1_struct_0(A), N, O, P), k3_finseq_4(u1_struct_0(A), Q, R, S)) =>  (B=K &  (C=L &  (D=M &  (E=N &  (F=O &  (G=P &  (H=Q &  (I=R & J=S) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_pascal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, u1_struct_0(A), 3, 3) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A)))) )  =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  (? [H] :  (m1_subset_1(H, u1_struct_0(A)) &  (? [I] :  (m1_subset_1(I, u1_struct_0(A)) &  (? [J] :  (m1_subset_1(J, u1_struct_0(A)) &  (? [K] :  (m1_subset_1(K, u1_struct_0(A)) & B=k3_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))), k3_finseq_4(u1_struct_0(A), C, D, E), k3_finseq_4(u1_struct_0(A), F, G, H), k3_finseq_4(u1_struct_0(A), I, J, K))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_pascal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  ( (v1_matrix_0(K) &  (v2_matrix_0(K, u1_struct_0(A), 3, 3) & m2_finseq_1(K, k3_finseq_2(u1_struct_0(A)))) )  =>  (K=k3_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))), k3_finseq_4(u1_struct_0(A), B, C, D), k3_finseq_4(u1_struct_0(A), E, F, G), k3_finseq_4(u1_struct_0(A), H, I, J)) =>  (B=k3_matrix_0(u1_struct_0(A), K, 1, 1) &  (C=k3_matrix_0(u1_struct_0(A), K, 1, 2) &  (D=k3_matrix_0(u1_struct_0(A), K, 1, 3) &  (E=k3_matrix_0(u1_struct_0(A), K, 2, 1) &  (F=k3_matrix_0(u1_struct_0(A), K, 2, 2) &  (G=k3_matrix_0(u1_struct_0(A), K, 2, 3) &  (H=k3_matrix_0(u1_struct_0(A), K, 3, 1) &  (I=k3_matrix_0(u1_struct_0(A), K, 3, 2) & J=k3_matrix_0(u1_struct_0(A), K, 3, 3)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_pascal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  ( (v1_matrix_0(K) &  (v2_matrix_0(K, u1_struct_0(A), 3, 3) & m2_finseq_1(K, k3_finseq_2(u1_struct_0(A)))) )  =>  (K=k3_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))), k3_finseq_4(u1_struct_0(A), B, C, D), k3_finseq_4(u1_struct_0(A), E, F, G), k3_finseq_4(u1_struct_0(A), H, I, J)) => k4_matrix_0(u1_struct_0(A), K)=k3_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))), k3_finseq_4(u1_struct_0(A), B, E, H), k3_finseq_4(u1_struct_0(A), C, F, I), k3_finseq_4(u1_struct_0(A), D, G, J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_pascal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  ( (v1_matrix_0(K) &  (v2_matrix_0(K, u1_struct_0(A), 3, 3) & m2_finseq_1(K, k3_finseq_2(u1_struct_0(A)))) )  =>  ( (K=k3_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))), k3_finseq_4(u1_struct_0(A), B, C, D), k3_finseq_4(u1_struct_0(A), E, F, G), k3_finseq_4(u1_struct_0(A), H, I, J)) & v2_matrix_6(K, 3, A))  =>  (C=E &  (D=H & I=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_pascal, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (v2_matrix_6(B, 3, k2_vectsp_1) => v2_matrix_6(k4_matrix_3(k2_vectsp_1, k4_matrix_3(k2_vectsp_1, k4_matrix_0(u1_struct_0(k2_vectsp_1), A), B), A), 3, k2_vectsp_1)) ) ) ) ) ).
fof(t8_pascal, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_vectsp_1)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_vectsp_1)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_vectsp_1)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_vectsp_1)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_vectsp_1)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k2_vectsp_1)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k2_vectsp_1)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k2_vectsp_1)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(k2_vectsp_1)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(k2_vectsp_1)) =>  (! [L] :  (m1_subset_1(L, u1_struct_0(k2_vectsp_1)) =>  (! [M] :  (m1_subset_1(M, u1_struct_0(k2_vectsp_1)) =>  (! [N] :  (m1_subset_1(N, u1_struct_0(k15_euclid(3))) =>  (! [O] :  (m2_finseq_1(O, u1_struct_0(k2_vectsp_1)) =>  (! [P] :  (m2_finseq_1(P, k4_finseq_2(1, k1_numbers)) =>  ( (P=k11_laplace(k2_vectsp_1, A, O) &  (N=k2_anproj_8(k1_numbers, P) &  (A=k3_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))), k3_finseq_4(u1_struct_0(k2_vectsp_1), B, C, D), k3_finseq_4(u1_struct_0(k2_vectsp_1), E, F, G), k3_finseq_4(u1_struct_0(k2_vectsp_1), H, I, J)) & O=k3_finseq_4(u1_struct_0(k2_vectsp_1), K, L, M)) ) )  =>  (P=k3_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)), k2_matrprob(k3_rlvect_1(k2_vectsp_1, k3_rlvect_1(k2_vectsp_1, k8_group_1(k2_vectsp_1, B, K), k8_group_1(k2_vectsp_1, C, L)), k8_group_1(k2_vectsp_1, D, M))), k2_matrprob(k3_rlvect_1(k2_vectsp_1, k3_rlvect_1(k2_vectsp_1, k8_group_1(k2_vectsp_1, E, K), k8_group_1(k2_vectsp_1, F, L)), k8_group_1(k2_vectsp_1, G, M))), k2_matrprob(k3_rlvect_1(k2_vectsp_1, k3_rlvect_1(k2_vectsp_1, k8_group_1(k2_vectsp_1, H, K), k8_group_1(k2_vectsp_1, I, L)), k8_group_1(k2_vectsp_1, J, M)))) & N=k3_finseq_4(u1_struct_0(k2_vectsp_1), k3_rlvect_1(k2_vectsp_1, k3_rlvect_1(k2_vectsp_1, k8_group_1(k2_vectsp_1, B, K), k8_group_1(k2_vectsp_1, C, L)), k8_group_1(k2_vectsp_1, D, M)), k3_rlvect_1(k2_vectsp_1, k3_rlvect_1(k2_vectsp_1, k8_group_1(k2_vectsp_1, E, K), k8_group_1(k2_vectsp_1, F, L)), k8_group_1(k2_vectsp_1, G, M)), k3_rlvect_1(k2_vectsp_1, k3_rlvect_1(k2_vectsp_1, k8_group_1(k2_vectsp_1, H, K), k8_group_1(k2_vectsp_1, I, L)), k8_group_1(k2_vectsp_1, J, M)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_pascal, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, 3, 3) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  (m1_subset_1(C, k1_numbers) =>  (! [D] :  (m1_subset_1(D, k1_numbers) =>  (! [E] :  (m1_subset_1(E, k1_numbers) =>  (! [F] :  (m1_subset_1(F, k1_numbers) =>  (! [G] :  (m1_subset_1(G, k1_numbers) =>  (! [H] :  (m1_subset_1(H, k1_numbers) =>  (! [I] :  (m1_subset_1(I, k1_numbers) =>  (! [J] :  (m1_subset_1(J, k1_numbers) =>  (! [K] :  (m1_subset_1(K, k1_numbers) =>  (! [L] :  (m1_subset_1(L, k1_numbers) =>  (! [M] :  (m1_subset_1(M, k1_numbers) =>  (! [N] :  (m1_subset_1(N, k1_numbers) =>  ( (B=k3_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)), k3_finseq_4(k1_numbers, C, D, E), k3_finseq_4(k1_numbers, F, G, H), k3_finseq_4(k1_numbers, I, J, K)) & A=k3_finseq_4(k1_numbers, L, M, N))  => k11_matrixr1(B, A)=k11_finseq_1(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(C, L), k3_xcmplx_0(D, M)), k3_xcmplx_0(E, N)), k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(F, L), k3_xcmplx_0(G, M)), k3_xcmplx_0(H, N)), k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(I, L), k3_xcmplx_0(J, M)), k3_xcmplx_0(K, N)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_pascal, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(3))) => k1_pascal(A, B, C, D, E, F, G)=k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(A, k1_funct_1(G, 1)), k1_funct_1(G, 1)), k3_xcmplx_0(k3_xcmplx_0(B, k1_funct_1(G, 2)), k1_funct_1(G, 2))), k3_xcmplx_0(k3_xcmplx_0(C, k1_funct_1(G, 3)), k1_funct_1(G, 3))), k3_xcmplx_0(k3_xcmplx_0(D, k1_funct_1(G, 1)), k1_funct_1(G, 2))), k3_xcmplx_0(k3_xcmplx_0(E, k1_funct_1(G, 1)), k1_funct_1(G, 3))), k3_xcmplx_0(k3_xcmplx_0(F, k1_funct_1(G, 2)), k1_funct_1(G, 3)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_pascal, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  ( ( ~ (v9_struct_0(G, k15_euclid(3)))  & m1_subset_1(G, u1_struct_0(k15_euclid(3))))  =>  (! [H] :  ( ( ~ (v9_struct_0(H, k15_euclid(3)))  & m1_subset_1(H, u1_struct_0(k15_euclid(3))))  =>  ( (k2_anproj_1(k15_euclid(3), G)=k2_anproj_1(k15_euclid(3), H) & k1_pascal(A, B, C, D, E, F, G)=k5_numbers)  => k1_pascal(A, B, C, D, E, F, H)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_pascal, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  ( ( ~ (v9_struct_0(G, k15_euclid(3)))  & m1_subset_1(G, u1_struct_0(k15_euclid(3))))  =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  ( (H=k2_anproj_1(k15_euclid(3), G) & k1_pascal(A, B, C, D, E, F, G)=k5_numbers)  => r2_tarski(H, k2_pascal(A, B, C, D, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_pascal, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) => k3_pascal(A, B, C, D, E, F)=k11_finseq_1(k11_finseq_1(A, D, E), k11_finseq_1(D, B, F), k11_finseq_1(E, F, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_pascal, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) => v2_matrix_6(k3_pascal(A, B, C, D, E, F), 3, k2_vectsp_1)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_pascal, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k15_euclid(3))) =>  (! [I] :  ( (v1_matrix_0(I) &  (v2_matrix_0(I, k1_numbers, 3, 3) & m2_finseq_1(I, k3_finseq_2(k1_numbers))) )  =>  ( (A=H & I=k3_pascal(B, C, D, E, F, G))  => k5_matrprob(k6_matrprob(A, A, I))=k1_pascal(B, C, D, k3_xcmplx_0(2, E), k3_xcmplx_0(2, F), k3_xcmplx_0(2, G), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_pascal, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(A, 3, k2_vectsp_1) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, k1_numbers, 3, 3) & m2_finseq_1(B, k3_finseq_2(k1_numbers))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, k1_numbers, 3, 3) & m2_finseq_1(C, k3_finseq_2(k1_numbers))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, k1_numbers, 3, 3) & m2_finseq_1(D, k3_finseq_2(k1_numbers))) )  =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  (! [J] :  (v1_xreal_0(J) =>  ( (B=k2_matrixr1(A) &  (C=k3_pascal(E, F, G, k7_xcmplx_0(H, 2), k7_xcmplx_0(J, 2), k7_xcmplx_0(I, 2)) & D=k6_matrixr1(k6_matrixr1(k2_matrixr1(k1_matrix_6(3, k2_vectsp_1, k2_matrixr2(3, k4_matrix_0(k1_numbers, B)))), C), k2_matrixr1(k1_matrix_6(3, k2_vectsp_1, k2_matrixr2(3, B))))) )  => v2_matrix_6(k2_matrixr2(3, D), 3, k2_vectsp_1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_pascal, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  (! [J] :  (v1_xreal_0(J) =>  (! [K] :  (v1_xreal_0(K) =>  (! [L] :  (v1_xreal_0(L) =>  (k3_pascal(A, B, C, D, E, F)=k3_pascal(G, H, I, J, K, L) =>  (A=G &  (B=H &  (C=I &  (D=J &  (E=K & F=L) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_pascal, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [H] :  ( (v1_matrix_0(H) &  (v2_matrix_0(H, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(H, 3, k2_vectsp_1) & m2_finseq_1(H, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  (r2_tarski(G, k2_pascal(A, B, C, D, E, F)) =>  ( (A=k5_numbers &  (B=k5_numbers &  (C=k5_numbers &  (D=k5_numbers &  (E=k5_numbers & F=k5_numbers) ) ) ) )  |  (! [I] :  (v1_xreal_0(I) =>  (! [J] :  (v1_xreal_0(J) =>  (! [K] :  (v1_xreal_0(K) =>  (! [L] :  (v1_xreal_0(L) =>  (! [M] :  (v1_xreal_0(M) =>  (! [N] :  (v1_xreal_0(N) =>  (! [O] :  (v1_xreal_0(O) =>  (! [P] :  ( (v1_matrix_0(P) &  (v2_matrix_0(P, k1_numbers, 3, 3) & m2_finseq_1(P, k3_finseq_2(k1_numbers))) )  =>  (! [Q] :  ( (v1_matrix_0(Q) &  (v2_matrix_0(Q, k1_numbers, 3, 3) & m2_finseq_1(Q, k3_finseq_2(k1_numbers))) )  =>  (! [R] :  ( (v1_matrix_0(R) &  (v2_matrix_0(R, k1_numbers, 3, 3) & m2_finseq_1(R, k3_finseq_2(k1_numbers))) )  =>  ( (P=k3_pascal(A, B, C, k7_xcmplx_0(D, 2), k7_xcmplx_0(E, 2), k7_xcmplx_0(F, 2)) &  (R=k2_matrixr1(H) &  (Q=k6_matrixr1(k6_matrixr1(k2_matrixr1(k1_matrix_6(3, k2_vectsp_1, k2_matrixr2(3, k4_matrix_0(k1_numbers, R)))), P), k2_matrixr1(k1_matrix_6(3, k2_vectsp_1, k2_matrixr2(3, R)))) & Q=k3_pascal(I, M, N, J, K, O)) ) )  =>  ( ~ ( (I=k5_numbers &  (M=k5_numbers &  (N=k5_numbers &  (J=k5_numbers &  (O=k5_numbers & K=k5_numbers) ) ) ) ) )  & r2_tarski(k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(H), G), k2_pascal(I, M, N, k3_xcmplx_0(2, J), k3_xcmplx_0(2, K), k3_xcmplx_0(2, O)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_pascal, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [L] :  (m1_subset_1(L, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [M] :  ( (v1_matrix_0(M) &  (v2_matrix_0(M, u1_struct_0(k2_vectsp_1), 3, 3) &  (v1_matrix_6(M, 3, k2_vectsp_1) & m2_finseq_1(M, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) )  =>  ~ ( ( ~ ( (A=k5_numbers &  (B=k5_numbers &  (C=k5_numbers &  (D=k5_numbers &  (E=k5_numbers & F=k5_numbers) ) ) ) ) )  &  (r2_tarski(G, k2_pascal(A, B, C, D, E, F)) &  (r2_tarski(H, k2_pascal(A, B, C, D, E, F)) &  (r2_tarski(I, k2_pascal(A, B, C, D, E, F)) &  (r2_tarski(J, k2_pascal(A, B, C, D, E, F)) &  (r2_tarski(K, k2_pascal(A, B, C, D, E, F)) &  (r2_tarski(L, k2_pascal(A, B, C, D, E, F)) &  (! [N] :  (v1_xreal_0(N) =>  (! [O] :  (v1_xreal_0(O) =>  (! [P] :  (v1_xreal_0(P) =>  (! [Q] :  (v1_xreal_0(Q) =>  (! [R] :  (v1_xreal_0(R) =>  (! [S] :  (v1_xreal_0(S) =>  ~ ( ( ~ ( (N=k5_numbers &  (O=k5_numbers &  (P=k5_numbers &  (Q=k5_numbers &  (R=k5_numbers & S=k5_numbers) ) ) ) ) )  &  (r2_tarski(k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(M), G), k2_pascal(N, O, P, Q, R, S)) &  (r2_tarski(k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(M), H), k2_pascal(N, O, P, Q, R, S)) &  (r2_tarski(k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(M), I), k2_pascal(N, O, P, Q, R, S)) &  (r2_tarski(k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(M), J), k2_pascal(N, O, P, Q, R, S)) &  (r2_tarski(k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(M), K), k2_pascal(N, O, P, Q, R, S)) & r2_tarski(k3_funct_2(u1_struct_0(k5_anproj_1(k15_euclid(3))), u1_struct_0(k5_anproj_1(k15_euclid(3))), k4_anproj_8(M), L), k2_pascal(N, O, P, Q, R, S))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_pascal, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_vectsp_1)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_vectsp_1)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_vectsp_1)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_vectsp_1)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_vectsp_1)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_vectsp_1)) =>  ( (k1_pascal(A, B, C, D, E, F, k4_euclid_5(1, k5_numbers, k5_numbers))=k5_numbers => A=k5_numbers)  &  ( (k1_pascal(A, B, C, D, E, F, k4_euclid_5(k5_numbers, 1, k5_numbers))=k5_numbers => B=k5_numbers)  &  ( (k1_pascal(A, B, C, D, E, F, k4_euclid_5(k5_numbers, k5_numbers, 1))=k5_numbers => C=k5_numbers)  &  (k1_pascal(k5_numbers, k5_numbers, k5_numbers, D, E, F, k4_euclid_5(1, 1, 1))=k5_numbers => k3_rlvect_1(k2_vectsp_1, k3_rlvect_1(k2_vectsp_1, D, E), F)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_pascal, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_vectsp_1)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_vectsp_1)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_vectsp_1)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_vectsp_1)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_vectsp_1)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_vectsp_1)) =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [H] :  ( (v1_matrix_0(H) &  (v2_matrix_0(H, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(H, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [I] :  ( (v1_matrix_0(I) &  (v2_matrix_0(I, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(I, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [J] :  ( (v1_matrix_0(J) &  (v2_matrix_0(J, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(J, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [K] :  ( (v1_matrix_0(K) &  (v2_matrix_0(K, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(K, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [L] :  ( (v1_matrix_0(L) &  (v2_matrix_0(L, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(L, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [M] :  ( (v1_matrix_0(M) &  (v2_matrix_0(M, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(M, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [N] :  ( (v1_matrix_0(N) &  (v2_matrix_0(N, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(N, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [O] :  (v1_xreal_0(O) =>  (! [P] :  (v1_xreal_0(P) =>  ( (H=k11_finseq_1(k11_finseq_1(1, k5_numbers, k5_numbers), k11_finseq_1(k5_numbers, 1, k5_numbers), k3_finseq_4(u1_struct_0(k2_vectsp_1), A, B, C)) &  (I=k11_finseq_1(k11_finseq_1(1, k5_numbers, k5_numbers), k11_finseq_1(k5_numbers, k5_numbers, 1), k3_finseq_4(u1_struct_0(k2_vectsp_1), D, E, F)) &  (J=k11_finseq_1(k11_finseq_1(k5_numbers, 1, k5_numbers), k11_finseq_1(1, 1, 1), k3_finseq_4(u1_struct_0(k2_vectsp_1), D, E, F)) &  (K=k11_finseq_1(k11_finseq_1(k5_numbers, k5_numbers, 1), k11_finseq_1(1, 1, 1), k3_finseq_4(u1_struct_0(k2_vectsp_1), A, B, C)) &  (G=k11_finseq_1(k11_finseq_1(1, k5_numbers, k5_numbers), k11_finseq_1(k5_numbers, 1, k5_numbers), k3_finseq_4(u1_struct_0(k2_vectsp_1), D, E, F)) &  (L=k11_finseq_1(k11_finseq_1(1, k5_numbers, k5_numbers), k11_finseq_1(k5_numbers, k5_numbers, 1), k3_finseq_4(u1_struct_0(k2_vectsp_1), A, B, C)) &  (M=k11_finseq_1(k11_finseq_1(k5_numbers, 1, k5_numbers), k11_finseq_1(1, 1, 1), k3_finseq_4(u1_struct_0(k2_vectsp_1), A, B, C)) &  (N=k11_finseq_1(k11_finseq_1(k5_numbers, k5_numbers, 1), k11_finseq_1(1, 1, 1), k3_finseq_4(u1_struct_0(k2_vectsp_1), D, E, F)) &  (k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(O, A), B), k3_xcmplx_0(k3_xcmplx_0(P, A), C))=k3_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(O, P), B), C) & k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(O, D), E), k3_xcmplx_0(k3_xcmplx_0(P, D), F))=k3_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(O, P), E), F)) ) ) ) ) ) ) ) )  =>  ( (O=k5_numbers & P=k5_numbers)  | k8_group_1(k2_vectsp_1, k8_group_1(k2_vectsp_1, k8_group_1(k2_vectsp_1, k12_matrix_3(3, k2_vectsp_1, H), k12_matrix_3(3, k2_vectsp_1, I)), k12_matrix_3(3, k2_vectsp_1, J)), k12_matrix_3(3, k2_vectsp_1, K))=k8_group_1(k2_vectsp_1, k8_group_1(k2_vectsp_1, k8_group_1(k2_vectsp_1, k12_matrix_3(3, k2_vectsp_1, G), k12_matrix_3(3, k2_vectsp_1, L)), k12_matrix_3(3, k2_vectsp_1, M)), k12_matrix_3(3, k2_vectsp_1, N))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_pascal, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v2_matrix_0(A, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [B] :  ( (v1_matrix_0(B) &  (v2_matrix_0(B, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [G] :  ( (v1_matrix_0(G) &  (v2_matrix_0(G, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(G, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [H] :  ( (v1_matrix_0(H) &  (v2_matrix_0(H, u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(H, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k15_euclid(3))) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(k15_euclid(3))) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(k15_euclid(3))) =>  (! [L] :  (m1_subset_1(L, u1_struct_0(k15_euclid(3))) =>  (! [M] :  (m1_subset_1(M, u1_struct_0(k15_euclid(3))) =>  (! [N] :  (m1_subset_1(N, u1_struct_0(k15_euclid(3))) =>  ( (B=k3_finseq_4(u1_struct_0(k15_euclid(3)), I, J, M) &  (C=k3_finseq_4(u1_struct_0(k15_euclid(3)), I, K, N) &  (D=k3_finseq_4(u1_struct_0(k15_euclid(3)), J, L, N) &  (E=k3_finseq_4(u1_struct_0(k15_euclid(3)), K, L, M) &  (A=k3_finseq_4(u1_struct_0(k15_euclid(3)), I, J, N) &  (F=k3_finseq_4(u1_struct_0(k15_euclid(3)), I, K, M) &  (G=k3_finseq_4(u1_struct_0(k15_euclid(3)), J, L, M) & H=k3_finseq_4(u1_struct_0(k15_euclid(3)), K, L, N)) ) ) ) ) ) )  =>  (k12_matrix_3(3, k2_vectsp_1, B)=k6_euclid_5(I, J, M) &  (k12_matrix_3(3, k2_vectsp_1, C)=k6_euclid_5(I, K, N) &  (k12_matrix_3(3, k2_vectsp_1, D)=k6_euclid_5(J, L, N) &  (k12_matrix_3(3, k2_vectsp_1, E)=k6_euclid_5(K, L, M) &  (k12_matrix_3(3, k2_vectsp_1, A)=k6_euclid_5(I, J, N) &  (k12_matrix_3(3, k2_vectsp_1, F)=k6_euclid_5(I, K, M) &  (k12_matrix_3(3, k2_vectsp_1, G)=k6_euclid_5(J, L, M) & k12_matrix_3(3, k2_vectsp_1, H)=k6_euclid_5(K, L, N)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_pascal, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(3))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(3))) =>  (k6_euclid_5(A, C, E)=k5_numbers => k3_xcmplx_0(k6_euclid_5(A, C, D), k6_euclid_5(B, C, E))=k4_xcmplx_0(k3_xcmplx_0(k6_euclid_5(A, B, C), k6_euclid_5(C, E, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_pascal, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(3))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(3))) =>  (k6_euclid_5(A, D, E)=k5_numbers => k3_xcmplx_0(k6_euclid_5(A, B, D), k6_euclid_5(C, D, E))=k3_xcmplx_0(k6_euclid_5(A, C, D), k6_euclid_5(B, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_pascal, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(3))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(3))) =>  (k6_euclid_5(A, B, E)=k5_numbers => k3_xcmplx_0(k6_euclid_5(A, B, C), k6_euclid_5(A, E, D))=k4_xcmplx_0(k3_xcmplx_0(k6_euclid_5(A, B, D), k6_euclid_5(A, C, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_pascal, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(3))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(3))) =>  (k6_euclid_5(A, C, D)=k5_numbers => k3_xcmplx_0(k6_euclid_5(A, B, D), k6_euclid_5(A, C, E))=k4_xcmplx_0(k3_xcmplx_0(k6_euclid_5(A, B, C), k6_euclid_5(A, E, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_pascal, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(3))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(3))) =>  (k6_euclid_5(A, B, E)=k5_numbers => k3_xcmplx_0(k6_euclid_5(A, B, D), k6_euclid_5(A, C, E))=k3_xcmplx_0(k6_euclid_5(A, B, C), k6_euclid_5(A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_pascal, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(3))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(3))) =>  (k6_euclid_5(B, C, D)=k5_numbers => k3_xcmplx_0(k6_euclid_5(A, B, C), k6_euclid_5(C, E, D))=k4_xcmplx_0(k3_xcmplx_0(k6_euclid_5(A, C, D), k6_euclid_5(B, C, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_pascal, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_xreal_0(A))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & v1_xreal_0(B))  =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & v1_xreal_0(C))  =>  (! [D] :  ( ( ~ (v8_ordinal1(D))  & v1_xreal_0(D))  =>  (! [E] :  ( ( ~ (v8_ordinal1(E))  & v1_xreal_0(E))  =>  (! [F] :  ( ( ~ (v8_ordinal1(F))  & v1_xreal_0(F))  =>  (! [G] :  ( ( ~ (v8_ordinal1(G))  & v1_xreal_0(G))  =>  (! [H] :  ( ( ~ (v8_ordinal1(H))  & v1_xreal_0(H))  =>  (! [I] :  ( ( ~ (v8_ordinal1(I))  & v1_xreal_0(I))  =>  (! [J] :  ( ( ~ (v8_ordinal1(J))  & v1_xreal_0(J))  =>  (! [K] :  ( ( ~ (v8_ordinal1(K))  & v1_xreal_0(K))  =>  (! [L] :  ( ( ~ (v8_ordinal1(L))  & v1_xreal_0(L))  =>  (! [M] :  ( ( ~ (v8_ordinal1(M))  & v1_xreal_0(M))  =>  (! [N] :  ( ( ~ (v8_ordinal1(N))  & v1_xreal_0(N))  =>  (! [O] :  ( ( ~ (v8_ordinal1(O))  & v1_xreal_0(O))  =>  (! [P] :  ( ( ~ (v8_ordinal1(P))  & v1_xreal_0(P))  =>  (! [Q] :  ( ( ~ (v8_ordinal1(Q))  & v1_xreal_0(Q))  =>  (! [R] :  ( ( ~ (v8_ordinal1(R))  & v1_xreal_0(R))  =>  ( (k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(A, B), C), D)=k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(E, F), G), H) &  (k3_xcmplx_0(I, J)=k4_xcmplx_0(k3_xcmplx_0(A, K)) &  (k3_xcmplx_0(E, L)=k3_xcmplx_0(B, M) &  (k3_xcmplx_0(G, N)=k4_xcmplx_0(k3_xcmplx_0(O, J)) &  (k3_xcmplx_0(O, M)=k4_xcmplx_0(k3_xcmplx_0(C, P)) &  (k3_xcmplx_0(H, Q)=k3_xcmplx_0(D, L) & k3_xcmplx_0(F, R)=k4_xcmplx_0(k3_xcmplx_0(I, Q))) ) ) ) ) )  => k3_xcmplx_0(P, K)=k3_xcmplx_0(N, R)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_pascal, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_vectsp_1)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_vectsp_1)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_vectsp_1)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_vectsp_1)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_vectsp_1)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_vectsp_1)) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k15_euclid(3))) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(k15_euclid(3))) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(k15_euclid(3))) =>  (! [L] :  (m1_subset_1(L, u1_struct_0(k15_euclid(3))) =>  (! [M] :  (m1_subset_1(M, u1_struct_0(k15_euclid(3))) =>  (! [N] :  (m1_subset_1(N, u1_struct_0(k15_euclid(3))) =>  ( (I=k11_finseq_1(1, k5_numbers, k5_numbers) &  (J=k11_finseq_1(k5_numbers, 1, k5_numbers) &  (K=k11_finseq_1(k5_numbers, k5_numbers, 1) &  (L=k11_finseq_1(1, 1, 1) &  (M=k3_finseq_4(u1_struct_0(k2_vectsp_1), A, B, C) &  (N=k3_finseq_4(u1_struct_0(k2_vectsp_1), D, E, F) &  (k1_pascal(k5_numbers, k5_numbers, k5_numbers, G, H, k4_xcmplx_0(k2_xcmplx_0(G, H)), M)=k5_numbers & k1_pascal(k5_numbers, k5_numbers, k5_numbers, G, H, k4_xcmplx_0(k2_xcmplx_0(G, H)), N)=k5_numbers) ) ) ) ) ) )  =>  (k1_pascal(k5_numbers, k5_numbers, k5_numbers, G, H, k4_xcmplx_0(k2_xcmplx_0(G, H)), I)=k5_numbers &  (k1_pascal(k5_numbers, k5_numbers, k5_numbers, G, H, k4_xcmplx_0(k2_xcmplx_0(G, H)), J)=k5_numbers &  (k1_pascal(k5_numbers, k5_numbers, k5_numbers, G, H, k4_xcmplx_0(k2_xcmplx_0(G, H)), K)=k5_numbers &  (k1_pascal(k5_numbers, k5_numbers, k5_numbers, G, H, k4_xcmplx_0(k2_xcmplx_0(G, H)), L)=k5_numbers &  (k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(G, A), B), k3_xcmplx_0(k3_xcmplx_0(H, A), C))=k3_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(G, H), B), C) & k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(G, D), E), k3_xcmplx_0(k3_xcmplx_0(H, D), F))=k3_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(G, H), E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_pascal, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_vectsp_1)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_vectsp_1)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_vectsp_1)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_vectsp_1)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_vectsp_1)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_vectsp_1)) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k15_euclid(3))) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(k15_euclid(3))) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(k15_euclid(3))) =>  (! [L] :  (m1_subset_1(L, u1_struct_0(k15_euclid(3))) =>  (! [M] :  (m1_subset_1(M, u1_struct_0(k15_euclid(3))) =>  (! [N] :  (m1_subset_1(N, u1_struct_0(k15_euclid(3))) =>  (! [O] :  (m1_subset_1(O, u1_struct_0(k15_euclid(3))) =>  (! [P] :  (m1_subset_1(P, u1_struct_0(k15_euclid(3))) =>  (! [Q] :  (m1_subset_1(Q, u1_struct_0(k15_euclid(3))) =>  ( (I=k11_finseq_1(1, k5_numbers, k5_numbers) &  (J=k11_finseq_1(k5_numbers, 1, k5_numbers) &  (K=k11_finseq_1(k5_numbers, k5_numbers, 1) &  (L=k11_finseq_1(1, 1, 1) &  (M=k3_finseq_4(u1_struct_0(k2_vectsp_1), A, B, C) &  (N=k3_finseq_4(u1_struct_0(k2_vectsp_1), D, E, F) &  (k1_pascal(k5_numbers, k5_numbers, k5_numbers, G, H, k4_xcmplx_0(k2_xcmplx_0(G, H)), M)=k5_numbers &  (k1_pascal(k5_numbers, k5_numbers, k5_numbers, G, H, k4_xcmplx_0(k2_xcmplx_0(G, H)), N)=k5_numbers &  (k6_euclid_5(I, M, Q)=k5_numbers &  (k6_euclid_5(I, N, P)=k5_numbers &  (k6_euclid_5(J, L, Q)=k5_numbers &  (k6_euclid_5(J, N, O)=k5_numbers &  (k6_euclid_5(K, L, P)=k5_numbers & k6_euclid_5(K, M, O)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) )  =>  (k6_euclid_5(I, J, M)=k5_numbers |  (k6_euclid_5(I, K, N)=k5_numbers |  (k6_euclid_5(J, L, N)=k5_numbers |  (k6_euclid_5(K, L, M)=k5_numbers |  (k6_euclid_5(I, J, N)=k5_numbers |  (k6_euclid_5(I, K, M)=k5_numbers |  (k6_euclid_5(J, L, M)=k5_numbers |  (k6_euclid_5(K, L, N)=k5_numbers |  (k6_euclid_5(I, M, O)=k5_numbers |  (k6_euclid_5(J, M, Q)=k5_numbers |  (k6_euclid_5(M, Q, O)=k5_numbers |  (k6_euclid_5(K, N, P)=k5_numbers |  (k6_euclid_5(J, N, P)=k5_numbers |  (k6_euclid_5(J, Q, O)=k5_numbers |  (k6_euclid_5(J, L, O)=k5_numbers |  (k6_euclid_5(J, P, O)=k5_numbers |  (k6_euclid_5(K, M, P)=k5_numbers |  (k6_euclid_5(M, P, O)=k5_numbers |  ( (G=k5_numbers & H=k5_numbers)  | k3_xcmplx_0(k6_euclid_5(J, P, O), k6_euclid_5(M, Q, O))=k3_xcmplx_0(k6_euclid_5(J, Q, O), k6_euclid_5(M, P, O))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_pascal, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(3))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(3))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(3))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(3))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(3))) =>  (k3_xcmplx_0(k6_euclid_5(A, D, C), k6_euclid_5(B, E, C))=k3_xcmplx_0(k6_euclid_5(A, E, C), k6_euclid_5(B, D, C)) => k3_xcmplx_0(k6_euclid_5(C, A, B), k6_euclid_5(C, D, E))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_pascal, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) & l1_collsp(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  ( (r1_collsp(A, B, E, H) &  (r1_collsp(A, B, F, I) &  (r1_collsp(A, C, D, H) &  (r1_collsp(A, C, F, J) &  (r1_collsp(A, G, D, I) & r1_collsp(A, G, E, J)) ) ) ) )  =>  (r1_collsp(A, B, C, E) |  (r1_collsp(A, B, C, F) |  (r1_collsp(A, B, G, E) |  (r1_collsp(A, B, G, F) |  (r1_collsp(A, C, G, E) |  (r1_collsp(A, D, E, C) |  (r1_collsp(A, D, E, G) |  (r1_collsp(A, D, F, C) |  (r1_collsp(A, D, F, G) |  (r1_collsp(A, E, F, C) |  ( ~ (r1_collsp(A, J, C, E))  &  ( ~ (r1_collsp(A, B, E, J))  &  ( ~ (r1_collsp(A, C, D, J))  &  ( ~ (r1_collsp(A, C, E, H))  &  ( ~ (r1_collsp(A, C, F, I))  &  ( ~ (r1_collsp(A, C, J, I))  &  ( ~ (r1_collsp(A, C, J, H))  &  ( ~ (r1_collsp(A, G, E, I))  &  ( ~ (r1_collsp(A, G, F, I))  &  ( ~ (r1_collsp(A, E, J, I))  &  ~ (r1_collsp(A, E, J, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_pascal, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (r1_pascal(A, B, C, D, E, F, G, H, I) <=>  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), A, B, D))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), A, C, D))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), B, C, D))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), A, B, E))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), A, B, F))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), A, C, E))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), A, C, F))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), B, D, E))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), B, D, F))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), C, D, E))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), C, D, F))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), B, C, E))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), B, C, F))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), D, E, A))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), D, F, A))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), E, F, A))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), E, F, B))  &  (r1_collsp(k5_anproj_1(k15_euclid(3)), A, E, I) &  (r1_collsp(k5_anproj_1(k15_euclid(3)), A, F, H) &  (r1_collsp(k5_anproj_1(k15_euclid(3)), B, D, I) &  (r1_collsp(k5_anproj_1(k15_euclid(3)), B, F, G) &  (r1_collsp(k5_anproj_1(k15_euclid(3)), C, D, H) & r1_collsp(k5_anproj_1(k15_euclid(3)), C, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_pascal, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (r1_pascal(A, B, C, D, E, F, G, H, I) =>  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), G, B, E))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), A, E, G))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), B, D, G))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), B, E, I))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), B, F, H))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), B, G, H))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), B, G, I))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), C, E, H))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), C, F, H))  &  ( ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), E, G, H))  &  ~ (r1_collsp(k5_anproj_1(k15_euclid(3)), E, G, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_pascal, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [J] :  (v1_xreal_0(J) =>  (! [K] :  (v1_xreal_0(K) =>  (! [L] :  (v1_xreal_0(L) =>  (! [M] :  (v1_xreal_0(M) =>  (! [N] :  (v1_xreal_0(N) =>  (! [O] :  (v1_xreal_0(O) =>  ( (r1_tarski(k11_domain_1(u1_struct_0(k5_anproj_1(k15_euclid(3))), A, B, C, D, E, F), k2_pascal(J, K, L, M, N, O)) &  (r1_collsp(k5_anproj_1(k15_euclid(3)), A, E, I) &  (r1_collsp(k5_anproj_1(k15_euclid(3)), A, F, H) &  (r1_collsp(k5_anproj_1(k15_euclid(3)), B, D, I) &  (r1_collsp(k5_anproj_1(k15_euclid(3)), B, F, G) &  (r1_collsp(k5_anproj_1(k15_euclid(3)), C, D, H) & r1_collsp(k5_anproj_1(k15_euclid(3)), C, E, G)) ) ) ) ) )  =>  ( (J=k5_numbers &  (K=k5_numbers &  (L=k5_numbers &  (M=k5_numbers &  (N=k5_numbers & O=k5_numbers) ) ) ) )  |  (r1_collsp(k5_anproj_1(k15_euclid(3)), A, B, C) |  (r1_collsp(k5_anproj_1(k15_euclid(3)), A, B, D) |  (r1_collsp(k5_anproj_1(k15_euclid(3)), A, C, D) |  (r1_collsp(k5_anproj_1(k15_euclid(3)), B, C, D) |  (r1_collsp(k5_anproj_1(k15_euclid(3)), G, B, E) |  (r1_collsp(k5_anproj_1(k15_euclid(3)), A, B, E) |  (r1_collsp(k5_anproj_1(k15_euclid(3)), A, B, F) |  (r1_collsp(k5_anproj_1(k15_euclid(3)), A, C, E) |  (r1_collsp(k5_anproj_1(k15_euclid(3)), A, C, F) |  (r1_collsp(k5_anproj_1(k15_euclid(3)), A, E, G) |  (r1_collsp(k5_anproj_1(k15_euclid(3)), B, D, E) |  (r1_collsp(k5_anproj_1(k15_euclid(3)), B, D, F) |  (r1_collsp(k5_anproj_1(k15_euclid(3)), B, D, G) |  (r1_collsp(k5_anproj_1(k15_euclid(3)), B, E, I) |  (r1_collsp(k5_anproj_1(k15_euclid(3)), B, F, H) |  (r1_collsp(k5_anproj_1(k15_euclid(3)), B, G, H) |  (r1_collsp(k5_anproj_1(k15_euclid(3)), B, G, I) |  (r1_collsp(k5_anproj_1(k15_euclid(3)), C, D, E) |  (r1_collsp(k5_anproj_1(k15_euclid(3)), C, D, F) |  (r1_collsp(k5_anproj_1(k15_euclid(3)), C, E, H) |  (r1_collsp(k5_anproj_1(k15_euclid(3)), C, F, H) |  (r1_collsp(k5_anproj_1(k15_euclid(3)), E, G, H) |  (r1_collsp(k5_anproj_1(k15_euclid(3)), E, G, I) | r1_collsp(k5_anproj_1(k15_euclid(3)), G, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_pascal, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [J] :  (v1_xreal_0(J) =>  (! [K] :  (v1_xreal_0(K) =>  (! [L] :  (v1_xreal_0(L) =>  (! [M] :  (v1_xreal_0(M) =>  (! [N] :  (v1_xreal_0(N) =>  (! [O] :  (v1_xreal_0(O) =>  ( (r1_tarski(k11_domain_1(u1_struct_0(k5_anproj_1(k15_euclid(3))), A, B, C, D, E, F), k2_pascal(J, K, L, M, N, O)) & r1_pascal(A, B, C, D, E, F, G, H, I))  =>  ( (J=k5_numbers &  (K=k5_numbers &  (L=k5_numbers &  (M=k5_numbers &  (N=k5_numbers & O=k5_numbers) ) ) ) )  |  (r1_collsp(k5_anproj_1(k15_euclid(3)), A, B, C) | r1_collsp(k5_anproj_1(k15_euclid(3)), G, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_pascal, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [J] :  (v1_xreal_0(J) =>  (! [K] :  (v1_xreal_0(K) =>  (! [L] :  (v1_xreal_0(L) =>  (! [M] :  (v1_xreal_0(M) =>  (! [N] :  (v1_xreal_0(N) =>  (! [O] :  (v1_xreal_0(O) =>  ( (r1_tarski(k11_domain_1(u1_struct_0(k5_anproj_1(k15_euclid(3))), A, B, C, D, E, F), k2_pascal(J, K, L, M, N, O)) &  (r1_collsp(k5_anproj_1(k15_euclid(3)), A, B, C) & r1_pascal(A, B, C, D, E, F, G, H, I)) )  =>  ( (J=k5_numbers &  (K=k5_numbers &  (L=k5_numbers &  (M=k5_numbers &  (N=k5_numbers & O=k5_numbers) ) ) ) )  | r1_collsp(k5_anproj_1(k15_euclid(3)), G, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_pascal, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k5_anproj_1(k15_euclid(3)))) =>  (! [J] :  (v1_xreal_0(J) =>  (! [K] :  (v1_xreal_0(K) =>  (! [L] :  (v1_xreal_0(L) =>  (! [M] :  (v1_xreal_0(M) =>  (! [N] :  (v1_xreal_0(N) =>  (! [O] :  (v1_xreal_0(O) =>  ( (r1_tarski(k11_domain_1(u1_struct_0(k5_anproj_1(k15_euclid(3))), A, B, C, D, E, F), k2_pascal(J, K, L, M, N, O)) & r1_pascal(A, B, C, D, E, F, G, H, I))  =>  ( (J=k5_numbers &  (K=k5_numbers &  (L=k5_numbers &  (M=k5_numbers &  (N=k5_numbers & O=k5_numbers) ) ) ) )  | r1_collsp(k5_anproj_1(k15_euclid(3)), G, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_pascal, axiom,  (! [A, B, C, D, E, F, G] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v1_xreal_0(C) &  (v1_xreal_0(D) &  (v1_xreal_0(E) &  (v1_xreal_0(F) & m1_subset_1(G, u1_struct_0(k15_euclid(3)))) ) ) ) ) )  => v1_xreal_0(k1_pascal(A, B, C, D, E, F, G))) ) ).
fof(dt_k2_pascal, axiom,  (! [A, B, C, D, E, F] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v1_xreal_0(C) &  (v1_xreal_0(D) &  (v1_xreal_0(E) & v1_xreal_0(F)) ) ) ) )  => m1_subset_1(k2_pascal(A, B, C, D, E, F), k1_zfmisc_1(u1_struct_0(k5_anproj_1(k15_euclid(3)))))) ) ).
fof(dt_k3_pascal, axiom,  (! [A, B, C, D, E, F] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v1_xreal_0(C) &  (v1_xreal_0(D) &  (v1_xreal_0(E) & v1_xreal_0(F)) ) ) ) )  =>  (v1_matrix_0(k3_pascal(A, B, C, D, E, F)) &  (v2_matrix_0(k3_pascal(A, B, C, D, E, F), u1_struct_0(k2_vectsp_1), 3, 3) & m2_finseq_1(k3_pascal(A, B, C, D, E, F), k3_finseq_2(u1_struct_0(k2_vectsp_1)))) ) ) ) ).
fof(d2_pascal, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) => k2_pascal(A, B, C, D, E, F)=a_6_0_pascal(A, B, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_6_0_pascal, axiom,  (! [A, B, C, D, E, F, G] :  ( (v1_xreal_0(B) &  (v1_xreal_0(C) &  (v1_xreal_0(D) &  (v1_xreal_0(E) &  (v1_xreal_0(F) & v1_xreal_0(G)) ) ) ) )  =>  (r2_hidden(A, a_6_0_pascal(B, C, D, E, F, G)) <=>  (? [H] :  (m1_subset_1(H, u1_struct_0(k5_anproj_1(k15_euclid(3)))) &  (A=H &  (! [I] :  (m1_subset_1(I, u1_struct_0(k15_euclid(3))) =>  (H=k2_anproj_1(k15_euclid(3), I) =>  (v9_struct_0(I, k15_euclid(3)) | k1_pascal(B, C, D, E, F, G, I)=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(d1_pasch, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (v1_pasch(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r1_diraf(A, C, F, B) &  (r3_diraf(A, F, D, E) & r2_diraf(A, C, D, E, B)) )  =>  (r3_diraf(A, F, C, D) | r1_diraf(A, D, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_pasch, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (v2_pasch(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r1_diraf(A, F, C, D) &  (r3_diraf(A, F, B, E) & r2_diraf(A, B, C, D, E)) )  =>  (r3_diraf(A, F, B, C) | r1_diraf(A, F, B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_pasch, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (v3_pasch(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_diraf(A, B, E, C, F) &  (r2_diraf(A, B, E, D, G) &  (r1_diraf(A, B, C, D) & r3_diraf(A, E, F, G)) ) )  =>  (r3_diraf(A, B, C, E) | r1_diraf(A, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_pasch, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (v4_pasch(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( (r1_diraf(A, B, C, E) &  (r1_diraf(A, C, F, D) &  ( ~ (r3_diraf(A, B, C, D))  &  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ~ ( (r1_diraf(A, B, H, D) & r1_diraf(A, H, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_pasch, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (v5_pasch(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( (r1_diraf(A, B, C, E) &  (r1_diraf(A, B, F, D) &  ( ~ (r3_diraf(A, B, C, D))  &  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ~ ( (r1_diraf(A, C, H, D) & r1_diraf(A, F, H, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_pasch, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (v6_pasch(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_analoaf(A, B, C, D, E) &  (r2_analoaf(A, B, D, C, E) &  ( ~ (r3_diraf(A, B, C, D))  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r1_diraf(A, B, F, E) & r1_diraf(A, C, F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_pasch, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_analoaf(A, C, E, E, D) &  ( ~ (E=D)  &  ( ~ (C=E)  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r2_analoaf(A, B, E, E, F) &  (r2_diraf(A, B, C, D, F) &  ( ~ (D=F)  &  ~ (E=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_pasch, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_analoaf(A, E, C, E, D) &  ( ~ (E=D)  &  ( ~ (C=E)  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r2_analoaf(A, E, B, E, F) &  (r2_diraf(A, B, C, D, F) &  ~ (D=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_pasch, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_diraf(A, E, C, E, D) &  ( ~ (E=C)  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r2_diraf(A, E, B, E, F) & r2_diraf(A, B, C, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_pasch, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r3_diraf(A, G, C, D) &  (r3_diraf(A, G, B, E) &  (r3_diraf(A, G, B, F) &  (r2_diraf(A, B, C, D, E) & r2_diraf(A, B, C, D, F)) ) ) )  =>  (r3_diraf(A, G, B, C) | E=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_pasch, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_diraf(A, B, C, D, E) &  (r2_diraf(A, B, C, D, F) &  (r2_diraf(A, B, D, C, E) & r2_diraf(A, B, D, C, F)) ) )  =>  (r3_diraf(A, B, C, D) | E=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_pasch, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r1_diraf(A, C, F, B) &  (r3_diraf(A, F, D, E) & r2_diraf(A, C, D, E, B)) )  =>  (r3_diraf(A, F, C, D) | r1_diraf(A, D, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_pasch, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  => v1_pasch(A)) ) ).
fof(t8_pasch, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r1_diraf(A, F, C, D) &  (r3_diraf(A, F, B, E) & r2_diraf(A, B, C, D, E)) )  =>  (r3_diraf(A, F, B, C) | r1_diraf(A, F, B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_pasch, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  => v2_pasch(A)) ) ).
fof(t10_pasch, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_diraf(A, B, C, D, E) &  (r2_diraf(A, B, C, F, G) &  (r1_diraf(A, B, D, F) & r3_diraf(A, C, E, G)) ) )  =>  (r3_diraf(A, B, D, C) | r1_diraf(A, C, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_pasch, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  => v3_pasch(A)) ) ).
fof(t12_pasch, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_analoaf(A, B, F, F, C) &  (r2_analoaf(A, D, F, F, E) & r2_diraf(A, B, D, C, E)) )  =>  (r3_diraf(A, F, B, D) | r2_analoaf(A, B, D, E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_pasch, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_analoaf(A, F, B, F, D) &  (r2_analoaf(A, F, C, F, E) & r2_diraf(A, B, C, D, E)) )  =>  (r3_diraf(A, F, B, C) | r2_analoaf(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_pasch, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r2_diraf(A, E, B, C, D) & r2_diraf(A, E, C, B, D))  =>  (r3_diraf(A, E, B, C) |  (r2_analoaf(A, E, B, C, D) & r2_analoaf(A, E, C, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_pasch, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r1_diraf(A, F, D, C) &  (r2_analoaf(A, D, E, C, B) & r2_analoaf(A, F, E, F, B)) )  =>  (r3_diraf(A, F, B, C) |  (F=D | r1_diraf(A, F, E, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_pasch, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r1_diraf(A, F, E, B) &  (r2_analoaf(A, D, E, C, B) & r2_analoaf(A, F, D, F, C)) )  =>  (r3_diraf(A, F, B, C) |  (F=D | r1_diraf(A, F, D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_pasch, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( ( ~ (r3_diraf(A, F, B, C))  &  (r2_analoaf(A, F, C, F, D) &  (r2_analoaf(A, C, B, D, E) &  ( ~ (F=E)  & r1_diraf(A, B, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_pasch, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_analoaf(A, E, C, E, D) &  ( ~ (C=E)  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r2_analoaf(A, E, B, E, F) & r2_analoaf(A, C, B, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_pasch, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r1_diraf(A, E, D, C) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r1_diraf(A, E, F, B) & r2_analoaf(A, C, B, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_pasch, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (E=C)  &  (r1_diraf(A, E, C, D) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r1_diraf(A, E, B, F) & r2_analoaf(A, C, B, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_pasch, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (r3_diraf(A, E, B, C))  &  (r1_diraf(A, E, D, C) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r1_diraf(A, E, F, B) & r2_analoaf(A, B, C, F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_pasch, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (r2_analoaf(A, B, E, C, D) & r2_analoaf(A, B, C, E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_pasch, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_analoaf(A, B, C, D, E) &  ( ~ (r3_diraf(A, B, C, D))  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r1_diraf(A, B, F, E) & r1_diraf(A, C, F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_pasch, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  => v6_pasch(A)) ) ).
fof(t25_pasch, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_diraf(A, B, C, D, E) &  (r2_diraf(A, B, D, C, E) &  ( ~ (r3_diraf(A, B, C, D))  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r3_diraf(A, F, B, E) & r3_diraf(A, F, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_pasch, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r2_diraf(A, B, C, D, E) &  ( ~ (r3_diraf(A, B, C, D))  &  (r3_diraf(A, F, B, E) &  (r3_diraf(A, F, C, D) & r3_diraf(A, F, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_pasch, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r1_diraf(A, B, C, E) &  (r1_diraf(A, C, F, D) &  ( ~ (r3_diraf(A, B, C, D))  &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( (r1_diraf(A, B, G, D) & r1_diraf(A, G, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_pasch, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  => v4_pasch(A)) ) ).
fof(t29_pasch, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r1_diraf(A, B, C, E) &  (r1_diraf(A, B, F, D) &  ( ~ (r3_diraf(A, B, C, D))  &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( (r1_diraf(A, C, G, D) & r1_diraf(A, F, G, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_pasch, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  => v5_pasch(A)) ) ).
fof(t31_pasch, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v2_analoaf(A) & l1_analoaf(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r1_diraf(A, F, B, D) &  (r2_analoaf(A, F, B, G, C) &  (r3_diraf(A, G, C, E) &  (r2_analoaf(A, F, G, B, C) & r2_analoaf(A, F, G, D, E)) ) ) )  =>  (r3_diraf(A, F, B, G) | r1_diraf(A, G, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_pboole, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) ) ) ).
fof(rc2_pboole, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v3_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) ) ) ) ).
fof(rc3_pboole, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) ) ) ) ).
fof(cc1_pboole, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) ) ) ) ) ) ).
fof(cc2_pboole, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v3_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (v1_relat_1(B) &  ( ~ (v2_relat_1(B))  &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) ) ) ) ) ) ).
fof(rc4_pboole, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_funcop_1(B)) ) ) ) ) ) ).
fof(cc3_pboole, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  (m2_pboole(D, A, B, C) => v1_funcop_1(D)) ) ) ) ).
fof(fc1_pboole, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) & v1_partfun1(D, B)) ) ) ) )  =>  (v1_relat_1(k3_relat_1(C, D)) &  (v4_relat_1(k3_relat_1(C, D), A) &  (v1_funct_1(k3_relat_1(C, D)) & v1_partfun1(k3_relat_1(C, D), A)) ) ) ) ) ).
fof(fc2_pboole, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  & m1_subset_1(C, A)) )  =>  ~ (v1_xboole_0(k1_funct_1(B, C))) ) ) ).
fof(rc5_pboole, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (? [C] :  (m3_pboole(C, A, B) &  (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) ) ) ) ) ) ).
fof(fc3_pboole, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_funcop_1(B)) ) )  =>  (v1_relat_1(k8_pboole(A, B)) &  (v1_funct_1(k8_pboole(A, B)) & v1_funcop_1(k8_pboole(A, B))) ) ) ) ).
fof(fc4_pboole, axiom,  (! [A] :  (v1_relat_1(k1_pboole(A)) &  (v3_relat_1(k1_pboole(A)) &  (v4_relat_1(k1_pboole(A), A) &  (v1_funct_1(k1_pboole(A)) & v1_partfun1(k1_pboole(A), A)) ) ) ) ) ).
fof(cc4_pboole, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) ) ) ) ) ) ).
fof(cc5_pboole, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) ) ) ) ) ) ).
fof(rc6_pboole, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v5_funct_1(C, B) & v1_partfun1(C, A)) ) ) ) ) ) ) ).
fof(rc7_pboole, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  =>  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v5_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, B)) ) ) ) ) ) ) ).
fof(fc5_pboole, axiom,  (! [A] :  (v1_setfam_1(A) =>  (v1_relat_1(k4_relat_1(A)) & v2_relat_1(k4_relat_1(A))) ) ) ).
fof(t1_pboole, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v2_relat_1(A) => v1_setfam_1(k10_xtuple_0(A))) ) ) ).
fof(t2_pboole, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v3_relat_1(A) <=>  (A=k1_xboole_0 | k10_xtuple_0(A)=k1_tarski(k1_xboole_0)) ) ) ) ).
fof(d1_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r1_pboole(A, B, C) <=>  (! [D] :  (r2_hidden(D, A) => r2_tarski(k1_funct_1(B, D), k1_funct_1(C, D))) ) ) ) ) ) ) ) ).
fof(d2_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r2_pboole(A, B, C) <=>  (! [D] :  (r2_hidden(D, A) => r1_tarski(k1_funct_1(B, D), k1_funct_1(C, D))) ) ) ) ) ) ) ) ).
fof(t3_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  ( (! [D] :  (r2_hidden(D, A) => k1_funct_1(B, D)=k1_funct_1(C, D)) )  => B=C) ) ) ) ) ) ).
fof(d3_pboole, axiom,  (! [A] : k1_pboole(A)=k7_funcop_1(A, k1_xboole_0)) ).
fof(d4_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (D=k2_pboole(A, B, C) <=>  (! [E] :  (r2_hidden(E, A) => k1_funct_1(D, E)=k2_xboole_0(k1_funct_1(B, E), k1_funct_1(C, E))) ) ) ) ) ) ) ) ) ) ).
fof(d5_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (D=k3_pboole(A, B, C) <=>  (! [E] :  (r2_hidden(E, A) => k1_funct_1(D, E)=k3_xboole_0(k1_funct_1(B, E), k1_funct_1(C, E))) ) ) ) ) ) ) ) ) ) ).
fof(d6_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (D=k4_pboole(A, B, C) <=>  (! [E] :  (r2_hidden(E, A) => k1_funct_1(D, E)=k6_subset_1(k1_funct_1(B, E), k1_funct_1(C, E))) ) ) ) ) ) ) ) ) ) ).
fof(d7_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r4_pboole(A, B, C) <=>  (! [D] :  ~ ( (r2_hidden(D, A) & r1_xboole_0(k1_funct_1(B, D), k1_funct_1(C, D))) ) ) ) ) ) ) ) ) ).
fof(d8_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r5_pboole(A, B, C) <=>  (! [D] :  (r2_hidden(D, A) => r1_xboole_0(k1_funct_1(B, D), k1_funct_1(C, D))) ) ) ) ) ) ) ) ).
fof(d9_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => k5_pboole(A, B, C)=k2_pboole(A, k4_pboole(A, B, C), k4_pboole(A, C, B))) ) ) ) ) ).
fof(t4_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  (r2_hidden(D, A) => k1_funct_1(k5_pboole(A, B, C), D)=k5_xboole_0(k1_funct_1(B, D), k1_funct_1(C, D))) ) ) ) ) ) ) ).
fof(t5_pboole, axiom,  (! [A] :  (! [B] : k1_funct_1(k1_pboole(A), B)=k1_xboole_0) ) ).
fof(t6_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  ( (! [C] :  (r2_hidden(C, A) => k1_funct_1(B, C)=k1_xboole_0) )  => B=k1_pboole(A)) ) ) ) ).
fof(t7_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ( (r1_pboole(A, B, C) | r1_pboole(A, B, D))  => r1_pboole(A, B, k2_pboole(A, C, D))) ) ) ) ) ) ) ) ).
fof(t8_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r1_pboole(A, B, k3_pboole(A, C, D)) <=>  (r1_pboole(A, B, C) & r1_pboole(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t9_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ( (r1_pboole(A, B, C) & r2_pboole(A, C, D))  => r1_pboole(A, B, D)) ) ) ) ) ) ) ) ).
fof(t10_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ( (r1_pboole(A, B, C) & r1_pboole(A, B, D))  => r4_pboole(A, C, D)) ) ) ) ) ) ) ) ).
fof(t11_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  ~ ( (r4_pboole(A, B, C) &  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ~ ( (r1_pboole(A, D, B) & r1_pboole(A, D, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r1_pboole(A, B, k4_pboole(A, C, D)) => r1_pboole(A, B, C)) ) ) ) ) ) ) ) ).
fof(d10_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r6_pboole(A, B, C) <=>  (! [D] :  (r2_hidden(D, A) => k1_funct_1(B, D)=k1_funct_1(C, D)) ) ) ) ) ) ) ) ).
fof(t13_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ( (r2_pboole(A, B, C) & r2_pboole(A, C, D))  => r2_pboole(A, B, D)) ) ) ) ) ) ) ) ).
fof(t14_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r2_pboole(A, B, k2_pboole(A, B, C))) ) ) ) ) ).
fof(t15_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r2_pboole(A, k3_pboole(A, B, C), B)) ) ) ) ) ).
fof(t16_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ( (r2_pboole(A, B, D) & r2_pboole(A, C, D))  => r2_pboole(A, k2_pboole(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t17_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ( (r2_pboole(A, D, B) & r2_pboole(A, D, C))  => r2_pboole(A, D, k3_pboole(A, B, C))) ) ) ) ) ) ) ) ).
fof(t18_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r2_pboole(A, B, C) => r2_pboole(A, k2_pboole(A, B, D), k2_pboole(A, C, D))) ) ) ) ) ) ) ) ).
fof(t19_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r2_pboole(A, B, C) => r2_pboole(A, k3_pboole(A, B, D), k3_pboole(A, C, D))) ) ) ) ) ) ) ) ).
fof(t20_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) )  =>  ( (r2_pboole(A, B, C) & r2_pboole(A, D, E))  => r2_pboole(A, k2_pboole(A, B, D), k2_pboole(A, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t21_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) )  =>  ( (r2_pboole(A, B, C) & r2_pboole(A, D, E))  => r2_pboole(A, k3_pboole(A, B, D), k3_pboole(A, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t22_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r2_pboole(A, B, C) => r6_pboole(A, k2_pboole(A, B, C), C)) ) ) ) ) ) ).
fof(t23_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r2_pboole(A, B, C) => r6_pboole(A, k3_pboole(A, B, C), B)) ) ) ) ) ) ).
fof(t24_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  => r2_pboole(A, k3_pboole(A, B, C), k2_pboole(A, B, D))) ) ) ) ) ) ) ).
fof(t25_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r2_pboole(A, B, D) => r6_pboole(A, k2_pboole(A, B, k3_pboole(A, C, D)), k3_pboole(A, k2_pboole(A, B, C), D))) ) ) ) ) ) ) ) ).
fof(t26_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r6_pboole(A, B, k2_pboole(A, C, D)) <=>  (r2_pboole(A, C, B) &  (r2_pboole(A, D, B) &  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) )  =>  ( (r2_pboole(A, C, E) & r2_pboole(A, D, E))  => r2_pboole(A, B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r6_pboole(A, B, k3_pboole(A, C, D)) <=>  (r2_pboole(A, B, C) &  (r2_pboole(A, B, D) &  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) )  =>  ( (r2_pboole(A, E, C) & r2_pboole(A, E, D))  => r2_pboole(A, E, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  => r6_pboole(A, k2_pboole(A, k2_pboole(A, B, C), D), k2_pboole(A, B, k2_pboole(A, C, D)))) ) ) ) ) ) ) ).
fof(t29_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  => r6_pboole(A, k3_pboole(A, k3_pboole(A, B, C), D), k3_pboole(A, B, k3_pboole(A, C, D)))) ) ) ) ) ) ) ).
fof(t30_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r6_pboole(A, k3_pboole(A, B, k2_pboole(A, B, C)), B)) ) ) ) ) ).
fof(t31_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r6_pboole(A, k2_pboole(A, B, k3_pboole(A, B, C)), B)) ) ) ) ) ).
fof(t32_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  => r6_pboole(A, k3_pboole(A, B, k2_pboole(A, C, D)), k2_pboole(A, k3_pboole(A, B, C), k3_pboole(A, B, D)))) ) ) ) ) ) ) ).
fof(t33_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  => r6_pboole(A, k2_pboole(A, B, k3_pboole(A, C, D)), k3_pboole(A, k2_pboole(A, B, C), k2_pboole(A, B, D)))) ) ) ) ) ) ) ).
fof(t34_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r6_pboole(A, k2_pboole(A, k3_pboole(A, B, C), k3_pboole(A, B, D)), B) => r2_pboole(A, B, k2_pboole(A, C, D))) ) ) ) ) ) ) ) ).
fof(t35_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r6_pboole(A, k3_pboole(A, k2_pboole(A, B, C), k2_pboole(A, B, D)), B) => r2_pboole(A, k3_pboole(A, C, D), B)) ) ) ) ) ) ) ) ).
fof(t36_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  => r6_pboole(A, k2_pboole(A, k2_pboole(A, k3_pboole(A, B, C), k3_pboole(A, C, D)), k3_pboole(A, D, B)), k3_pboole(A, k3_pboole(A, k2_pboole(A, B, C), k2_pboole(A, C, D)), k2_pboole(A, D, B)))) ) ) ) ) ) ) ).
fof(t37_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r2_pboole(A, k2_pboole(A, B, C), D) => r2_pboole(A, B, D)) ) ) ) ) ) ) ) ).
fof(t38_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r2_pboole(A, B, k3_pboole(A, C, D)) => r2_pboole(A, B, C)) ) ) ) ) ) ) ) ).
fof(t39_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  => r6_pboole(A, k2_pboole(A, k2_pboole(A, B, C), D), k2_pboole(A, k2_pboole(A, B, D), k2_pboole(A, C, D)))) ) ) ) ) ) ) ).
fof(t40_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  => r6_pboole(A, k3_pboole(A, k3_pboole(A, B, C), D), k3_pboole(A, k3_pboole(A, B, D), k3_pboole(A, C, D)))) ) ) ) ) ) ) ).
fof(t41_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r6_pboole(A, k2_pboole(A, B, k2_pboole(A, B, C)), k2_pboole(A, B, C))) ) ) ) ) ).
fof(t42_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r6_pboole(A, k3_pboole(A, B, k3_pboole(A, B, C)), k3_pboole(A, B, C))) ) ) ) ) ).
fof(t43_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => r2_pboole(A, k1_pboole(A), B)) ) ) ).
fof(t44_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (r2_pboole(A, B, k1_pboole(A)) => r6_pboole(A, B, k1_pboole(A))) ) ) ) ).
fof(t45_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ( (r2_pboole(A, B, C) &  (r2_pboole(A, B, D) & r6_pboole(A, k3_pboole(A, C, D), k1_pboole(A))) )  => r6_pboole(A, B, k1_pboole(A))) ) ) ) ) ) ) ) ).
fof(t46_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ( (r2_pboole(A, B, C) & r6_pboole(A, k3_pboole(A, C, D), k1_pboole(A)))  => r6_pboole(A, k3_pboole(A, B, D), k1_pboole(A))) ) ) ) ) ) ) ) ).
fof(t47_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (r6_pboole(A, k2_pboole(A, B, k1_pboole(A)), B) & r6_pboole(A, k2_pboole(A, k1_pboole(A), B), B)) ) ) ) ).
fof(t48_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r6_pboole(A, k2_pboole(A, B, C), k1_pboole(A)) => r6_pboole(A, B, k1_pboole(A))) ) ) ) ) ) ).
fof(t49_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => r6_pboole(A, k3_pboole(A, B, k1_pboole(A)), k1_pboole(A))) ) ) ).
fof(t50_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ( (r2_pboole(A, B, k2_pboole(A, C, D)) & r6_pboole(A, k3_pboole(A, B, D), k1_pboole(A)))  => r2_pboole(A, B, C)) ) ) ) ) ) ) ) ).
fof(t51_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  ( (r2_pboole(A, C, B) & r6_pboole(A, k3_pboole(A, B, C), k1_pboole(A)))  => r6_pboole(A, C, k1_pboole(A))) ) ) ) ) ) ).
fof(t52_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r6_pboole(A, k4_pboole(A, B, C), k1_pboole(A)) <=> r2_pboole(A, B, C)) ) ) ) ) ) ).
fof(t53_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r2_pboole(A, B, C) => r2_pboole(A, k4_pboole(A, B, D), k4_pboole(A, C, D))) ) ) ) ) ) ) ) ).
fof(t54_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r2_pboole(A, B, C) => r2_pboole(A, k4_pboole(A, D, C), k4_pboole(A, D, B))) ) ) ) ) ) ) ) ).
fof(t55_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) )  =>  ( (r2_pboole(A, B, C) & r2_pboole(A, D, E))  => r2_pboole(A, k4_pboole(A, B, E), k4_pboole(A, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t56_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r2_pboole(A, k4_pboole(A, B, C), B)) ) ) ) ) ).
fof(t57_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r2_pboole(A, B, k4_pboole(A, C, B)) => r6_pboole(A, B, k1_pboole(A))) ) ) ) ) ) ).
fof(t58_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => r6_pboole(A, k4_pboole(A, B, B), k1_pboole(A))) ) ) ).
fof(t59_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => r6_pboole(A, k4_pboole(A, B, k1_pboole(A)), B)) ) ) ).
fof(t60_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => r6_pboole(A, k4_pboole(A, k1_pboole(A), B), k1_pboole(A))) ) ) ).
fof(t61_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r6_pboole(A, k4_pboole(A, B, k2_pboole(A, B, C)), k1_pboole(A))) ) ) ) ) ).
fof(t62_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  => r6_pboole(A, k3_pboole(A, B, k4_pboole(A, C, D)), k4_pboole(A, k3_pboole(A, B, C), D))) ) ) ) ) ) ) ).
fof(t63_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r6_pboole(A, k3_pboole(A, k4_pboole(A, B, C), C), k1_pboole(A))) ) ) ) ) ).
fof(t64_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  => r6_pboole(A, k4_pboole(A, B, k4_pboole(A, C, D)), k2_pboole(A, k4_pboole(A, B, C), k3_pboole(A, B, D)))) ) ) ) ) ) ) ).
fof(t65_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r6_pboole(A, k2_pboole(A, k4_pboole(A, B, C), k3_pboole(A, B, C)), B)) ) ) ) ) ).
fof(t66_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r2_pboole(A, B, C) => r6_pboole(A, C, k2_pboole(A, B, k4_pboole(A, C, B)))) ) ) ) ) ) ).
fof(t67_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r6_pboole(A, k2_pboole(A, B, k4_pboole(A, C, B)), k2_pboole(A, B, C))) ) ) ) ) ).
fof(t68_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r6_pboole(A, k4_pboole(A, B, k4_pboole(A, B, C)), k3_pboole(A, B, C))) ) ) ) ) ).
fof(t69_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  => r6_pboole(A, k4_pboole(A, B, k3_pboole(A, C, D)), k2_pboole(A, k4_pboole(A, B, C), k4_pboole(A, B, D)))) ) ) ) ) ) ) ).
fof(t70_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r6_pboole(A, k4_pboole(A, B, k3_pboole(A, B, C)), k4_pboole(A, B, C))) ) ) ) ) ).
fof(t71_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r6_pboole(A, k3_pboole(A, B, C), k1_pboole(A)) <=> r6_pboole(A, k4_pboole(A, B, C), B)) ) ) ) ) ) ).
fof(t72_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  => r6_pboole(A, k4_pboole(A, k2_pboole(A, B, C), D), k2_pboole(A, k4_pboole(A, B, D), k4_pboole(A, C, D)))) ) ) ) ) ) ) ).
fof(t73_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  => r6_pboole(A, k4_pboole(A, k4_pboole(A, B, C), D), k4_pboole(A, B, k2_pboole(A, C, D)))) ) ) ) ) ) ) ).
fof(t74_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  => r6_pboole(A, k4_pboole(A, k3_pboole(A, B, C), D), k3_pboole(A, k4_pboole(A, B, D), k4_pboole(A, C, D)))) ) ) ) ) ) ) ).
fof(t75_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r6_pboole(A, k4_pboole(A, k2_pboole(A, B, C), C), k4_pboole(A, B, C))) ) ) ) ) ).
fof(t76_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r2_pboole(A, B, k2_pboole(A, C, D)) =>  (r2_pboole(A, k4_pboole(A, B, C), D) & r2_pboole(A, k4_pboole(A, B, D), C)) ) ) ) ) ) ) ) ) ).
fof(t77_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r6_pboole(A, k4_pboole(A, k2_pboole(A, B, C), k3_pboole(A, B, C)), k2_pboole(A, k4_pboole(A, B, C), k4_pboole(A, C, B)))) ) ) ) ) ).
fof(t78_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r6_pboole(A, k4_pboole(A, k4_pboole(A, B, C), C), k4_pboole(A, B, C))) ) ) ) ) ).
fof(t79_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  => r6_pboole(A, k4_pboole(A, B, k2_pboole(A, C, D)), k3_pboole(A, k4_pboole(A, B, C), k4_pboole(A, B, D)))) ) ) ) ) ) ) ).
fof(t80_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r6_pboole(A, k4_pboole(A, B, C), k4_pboole(A, C, B)) => r6_pboole(A, B, C)) ) ) ) ) ) ).
fof(t81_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  => r6_pboole(A, k3_pboole(A, B, k4_pboole(A, C, D)), k4_pboole(A, k3_pboole(A, B, C), k3_pboole(A, B, D)))) ) ) ) ) ) ) ).
fof(t82_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r2_pboole(A, k4_pboole(A, B, C), D) => r2_pboole(A, B, k2_pboole(A, C, D))) ) ) ) ) ) ) ) ).
fof(t83_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r2_pboole(A, k4_pboole(A, B, C), k5_pboole(A, B, C))) ) ) ) ) ).
fof(t84_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => r6_pboole(A, k5_pboole(A, B, k1_pboole(A)), B)) ) ) ).
fof(t85_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => r6_pboole(A, k5_pboole(A, B, B), k1_pboole(A))) ) ) ).
fof(t86_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r6_pboole(A, k2_pboole(A, B, C), k2_pboole(A, k5_pboole(A, B, C), k3_pboole(A, B, C)))) ) ) ) ) ).
fof(t87_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r6_pboole(A, k5_pboole(A, B, C), k4_pboole(A, k2_pboole(A, B, C), k3_pboole(A, B, C)))) ) ) ) ) ).
fof(t88_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  => r6_pboole(A, k4_pboole(A, k5_pboole(A, B, C), D), k2_pboole(A, k4_pboole(A, B, k2_pboole(A, C, D)), k4_pboole(A, C, k2_pboole(A, B, D))))) ) ) ) ) ) ) ).
fof(t89_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  => r6_pboole(A, k4_pboole(A, B, k5_pboole(A, C, D)), k2_pboole(A, k4_pboole(A, B, k2_pboole(A, C, D)), k3_pboole(A, k3_pboole(A, B, C), D)))) ) ) ) ) ) ) ).
fof(t90_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  => r6_pboole(A, k5_pboole(A, k5_pboole(A, B, C), D), k5_pboole(A, B, k5_pboole(A, C, D)))) ) ) ) ) ) ) ).
fof(t91_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ( (r2_pboole(A, k4_pboole(A, B, C), D) & r2_pboole(A, k4_pboole(A, C, B), D))  => r2_pboole(A, k5_pboole(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t92_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r6_pboole(A, k2_pboole(A, B, C), k5_pboole(A, B, k4_pboole(A, C, B)))) ) ) ) ) ).
fof(t93_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r6_pboole(A, k3_pboole(A, B, C), k5_pboole(A, B, k4_pboole(A, B, C)))) ) ) ) ) ).
fof(t94_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r6_pboole(A, k4_pboole(A, B, C), k5_pboole(A, B, k3_pboole(A, B, C)))) ) ) ) ) ).
fof(t95_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r6_pboole(A, k4_pboole(A, C, B), k5_pboole(A, B, k2_pboole(A, B, C)))) ) ) ) ) ).
fof(t96_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r6_pboole(A, k2_pboole(A, B, C), k5_pboole(A, k5_pboole(A, B, C), k3_pboole(A, B, C)))) ) ) ) ) ).
fof(t97_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r6_pboole(A, k3_pboole(A, B, C), k5_pboole(A, k5_pboole(A, B, C), k2_pboole(A, B, C)))) ) ) ) ) ).
fof(t98_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ( (r4_pboole(A, B, C) | r4_pboole(A, B, D))  => r4_pboole(A, B, k2_pboole(A, C, D))) ) ) ) ) ) ) ) ).
fof(t99_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ( (r4_pboole(A, B, C) & r2_pboole(A, C, D))  => r4_pboole(A, B, D)) ) ) ) ) ) ) ) ).
fof(t100_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ( (r4_pboole(A, B, C) & r2_pboole(A, B, D))  => r4_pboole(A, D, C)) ) ) ) ) ) ) ) ).
fof(t101_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) )  =>  ( (r2_pboole(A, B, C) &  (r2_pboole(A, D, E) & r4_pboole(A, B, D)) )  => r4_pboole(A, C, E)) ) ) ) ) ) ) ) ) ) ).
fof(t102_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r4_pboole(A, B, k3_pboole(A, C, D)) =>  (r4_pboole(A, B, C) & r4_pboole(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t103_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ( (r4_pboole(A, B, C) & r2_pboole(A, B, D))  => r4_pboole(A, B, k3_pboole(A, C, D))) ) ) ) ) ) ) ) ).
fof(t104_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r4_pboole(A, B, k4_pboole(A, C, D)) => r4_pboole(A, B, C)) ) ) ) ) ) ) ) ).
fof(t105_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ~ ( ( ~ (r4_pboole(A, C, D))  & r4_pboole(A, k3_pboole(A, B, C), k3_pboole(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t106_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r4_pboole(A, B, k4_pboole(A, C, D)) => r4_pboole(A, C, k4_pboole(A, B, D))) ) ) ) ) ) ) ) ).
fof(t107_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ~ ( ( ~ (r5_pboole(A, B, C))  &  (r2_pboole(A, C, D) & r5_pboole(A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t108_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r5_pboole(A, C, k4_pboole(A, B, C))) ) ) ) ) ).
fof(t109_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r5_pboole(A, k3_pboole(A, B, C), k4_pboole(A, B, C))) ) ) ) ) ).
fof(t110_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r5_pboole(A, k3_pboole(A, B, C), k5_pboole(A, B, C))) ) ) ) ) ).
fof(t111_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r5_pboole(A, B, C) => r6_pboole(A, k3_pboole(A, B, C), k1_pboole(A))) ) ) ) ) ) ).
fof(t112_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  ~ ( ( ~ (B=k1_pboole(A))  & r5_pboole(A, B, B)) ) ) ) ) ).
fof(t113_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ( (r2_pboole(A, B, C) &  (r2_pboole(A, B, D) & r5_pboole(A, C, D)) )  => r6_pboole(A, B, k1_pboole(A))) ) ) ) ) ) ) ) ).
fof(t114_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) )  =>  ( (r6_pboole(A, k2_pboole(A, D, E), k2_pboole(A, B, C)) &  (r5_pboole(A, B, D) & r5_pboole(A, C, E)) )  =>  (r6_pboole(A, B, E) & r6_pboole(A, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t115_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r5_pboole(A, B, C) => r6_pboole(A, k4_pboole(A, B, C), B)) ) ) ) ) ) ).
fof(t116_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r5_pboole(A, B, C) => r6_pboole(A, k4_pboole(A, k2_pboole(A, B, C), C), B)) ) ) ) ) ) ).
fof(t117_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r6_pboole(A, k4_pboole(A, B, C), B) => r5_pboole(A, B, C)) ) ) ) ) ) ).
fof(t118_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r5_pboole(A, k4_pboole(A, B, C), k4_pboole(A, C, B))) ) ) ) ) ).
fof(d11_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r7_pboole(A, B, C) <=>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r1_pboole(A, D, B) => r1_pboole(A, D, C)) ) ) ) ) ) ) ) ) ).
fof(t119_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r2_pboole(A, B, C) => r7_pboole(A, B, C)) ) ) ) ) ) ).
fof(t120_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ( (r7_pboole(A, B, C) & r7_pboole(A, C, D))  => r7_pboole(A, B, D)) ) ) ) ) ) ) ) ).
fof(t121_pboole, axiom, r1_pboole(k1_xboole_0, k1_pboole(k1_xboole_0), k1_pboole(k1_xboole_0))).
fof(t122_pboole, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k1_xboole_0) &  (v1_funct_1(A) & v1_partfun1(A, k1_xboole_0)) ) )  => A=k1_xboole_0) ) ).
fof(t123_pboole, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  ~ ( (r4_pboole(A, B, C) & r5_pboole(A, B, C)) ) ) ) ) ) ) ) ).
fof(t124_pboole, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  ~ (r3_pboole(A, B, k1_pboole(A))) ) ) ) ) ).
fof(t125_pboole, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ~ ( (r3_pboole(A, B, C) &  (r3_pboole(A, B, D) & k3_pboole(A, C, D)=k1_pboole(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t126_pboole, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  ~ (r4_pboole(A, B, k1_pboole(A))) ) ) ) ) ).
fof(t127_pboole, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  ~ ( (r6_pboole(A, k3_pboole(A, B, C), k1_pboole(A)) & r4_pboole(A, B, C)) ) ) ) ) ) ) ) ).
fof(t128_pboole, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  ~ ( (r4_pboole(A, B, B) & B=k1_pboole(A)) ) ) ) ) ) ).
fof(d12_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v3_relat_1(B) <=>  (! [C] :  (r2_hidden(C, A) => v1_xboole_0(k1_funct_1(B, C))) ) ) ) ) ) ).
fof(d13_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v2_relat_1(B) <=>  (! [C] :  ~ ( (r2_hidden(C, A) & v1_xboole_0(k1_funct_1(B, C))) ) ) ) ) ) ) ).
fof(t129_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v3_relat_1(B) <=> r6_pboole(A, B, k1_pboole(A))) ) ) ) ).
fof(t130_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  ( (v3_relat_1(C) & r2_pboole(A, B, C))  => v3_relat_1(B)) ) ) ) ) ) ).
fof(t131_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  ( (v2_relat_1(B) & r2_pboole(A, B, C))  => v2_relat_1(C)) ) ) ) ) ) ).
fof(t132_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  ( (v2_relat_1(B) & r7_pboole(A, B, C))  => r2_pboole(A, B, C)) ) ) ) ) ) ).
fof(t133_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  ( (v2_relat_1(B) & r7_pboole(A, B, C))  => v2_relat_1(C)) ) ) ) ) ) ).
fof(t134_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (? [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  & r1_pboole(A, C, B)) ) ) ) ) ).
fof(t135_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  ( (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r1_pboole(A, D, C) <=> r1_pboole(A, D, B)) ) )  => r6_pboole(A, C, B)) ) ) ) ) ) ).
fof(t136_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) ) )  =>  ( (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) )  =>  (r1_pboole(A, E, D) <=>  (r1_pboole(A, E, B) & r1_pboole(A, E, C)) ) ) )  => r6_pboole(A, D, k3_pboole(A, B, C))) ) ) ) ) ) ) ) ).
fof(t137_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  ~ (r2_tarski(k1_xboole_0, k10_xtuple_0(B))) ) ) ) ).
fof(t138_pboole, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, k10_xtuple_0(B)) =>  (? [D] :  (r2_hidden(D, A) & C=k1_funct_1(B, D)) ) ) ) ) ) ) ) ).
fof(t139_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (r2_hidden(C, A) => m1_subset_1(k1_funct_1(B, C), k10_xtuple_0(B))) ) ) ) ) ).
fof(d14_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (m1_pboole(C, A, B) <=>  (! [D] :  (r2_hidden(D, A) => m1_subset_1(k1_funct_1(C, D), k1_funct_1(B, D))) ) ) ) ) ) ) ) ).
fof(d15_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (m2_pboole(D, A, B, C) <=>  (! [E] :  (r2_hidden(E, A) =>  (v1_funct_1(k1_funct_1(D, E)) &  (v1_funct_2(k1_funct_1(D, E), k1_funct_1(B, E), k1_funct_1(C, E)) & m1_subset_1(k1_funct_1(D, E), k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(B, E), k1_funct_1(C, E))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (D=k6_pboole(A, B, C) <=>  (! [E] :  (r2_hidden(E, A) => k1_funct_1(D, E)=k2_zfmisc_1(k1_funct_1(B, E), k1_funct_1(C, E))) ) ) ) ) ) ) ) ) ) ).
fof(d17_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (D=k7_pboole(A, B, C) <=>  (! [E] :  (r2_hidden(E, A) => k1_funct_1(D, E)=k1_funct_2(k1_funct_1(B, E), k1_funct_1(C, E))) ) ) ) ) ) ) ) ) ) ).
fof(d18_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (m3_pboole(C, A, B) <=> r2_pboole(A, C, B)) ) ) ) ) ) ).
fof(d19_pboole, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_funcop_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k8_pboole(A, B) <=>  (k9_xtuple_0(C)=k3_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)) &  (! [D] :  (r2_hidden(D, k9_xtuple_0(C)) => k1_funct_1(C, D)=k3_relat_1(k1_funct_1(A, D), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ).
fof(d20_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v1_funcop_1(C)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (D=k9_pboole(A, B, C) <=>  (! [E] :  (r2_tarski(E, A) => k1_funct_1(D, E)=k7_relat_1(k1_funct_1(C, E), k1_funct_1(B, E))) ) ) ) ) ) ) ) ) ) ).
fof(t140_pboole, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_funcop_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_funcop_1(C)) )  => k8_pboole(A, k8_pboole(B, C))=k8_pboole(k8_pboole(A, B), C)) ) ) ) ) ) ).
fof(t141_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v5_funct_1(C, B)) ) )  =>  (? [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v5_funct_1(D, B) & v1_partfun1(D, A)) ) ) )  & r1_tarski(C, D)) ) ) ) ) ) ) ).
fof(t142_pboole, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  => k5_relat_1(k1_funct_4(D, k5_relat_1(C, B)), B)=k5_relat_1(C, B)) ) ) ) ) ) ).
fof(t143_pboole, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  (m1_subset_1(D, A) => k1_funct_1(C, D)=k7_partfun1(B, C, D)) ) ) ) ) ) ) ) ).
fof(t144_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => k5_relat_1(k1_funct_4(B, C), A)=C) ) ) ) ) ).
fof(t145_pboole, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) & v1_funct_1(C)) ) )  =>  (? [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v5_relat_1(D, B) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) ) )  & r1_tarski(C, D)) ) ) ) ) ) ) ).
fof(t146_pboole, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  ( (r2_pboole(A, B, C) & r2_pboole(A, C, B))  => r6_pboole(A, B, C)) ) ) ) ) ) ).
fof(d21_pboole, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r8_pboole(A, B, C) <=>  (! [D] :  (m1_subset_1(D, A) => k1_funct_1(B, D)=k1_funct_1(C, D)) ) ) ) ) ) ) ) ) ).
fof(s1_pboole, axiom,  ( (! [A] :  ~ ( (r2_hidden(A, f1_s1_pboole) & f2_s1_pboole(A)=k1_xboole_0) ) )  =>  (? [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, f1_s1_pboole) &  (v1_funct_1(A) & v1_partfun1(A, f1_s1_pboole)) ) )  &  (! [B] :  (r2_hidden(B, f1_s1_pboole) => r2_tarski(k1_funct_1(A, B), f2_s1_pboole(B))) ) ) ) ) ).
fof(s2_pboole, axiom,  (? [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, f1_s2_pboole) &  (v1_funct_1(A) & v1_partfun1(A, f1_s2_pboole)) ) )  &  (! [B] :  (r2_hidden(B, f1_s2_pboole) =>  (! [C] :  (r2_hidden(C, k1_funct_1(A, B)) <=>  (r2_hidden(C, k1_funct_1(f2_s2_pboole, B)) & p1_s2_pboole(B, C)) ) ) ) ) ) ) ).
fof(s3_pboole, axiom,  ( (! [A] :  ~ ( (r2_hidden(A, f1_s3_pboole) &  (! [B] :  ~ (p1_s3_pboole(A, B)) ) ) ) )  =>  (? [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, f1_s3_pboole) &  (v1_funct_1(A) & v1_partfun1(A, f1_s3_pboole)) ) )  &  (! [B] :  (r2_hidden(B, f1_s3_pboole) => p1_s3_pboole(B, k1_funct_1(A, B))) ) ) ) ) ).
fof(s4_pboole, axiom,  (? [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, f1_s4_pboole) &  (v1_funct_1(A) & v1_partfun1(A, f1_s4_pboole)) ) )  &  (! [B] :  (r2_hidden(B, f1_s4_pboole) => k1_funct_1(A, B)=f2_s4_pboole(B)) ) ) ) ).
fof(s5_pboole, axiom,  (? [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, f1_s5_pboole) &  (v1_funct_1(A) & v1_partfun1(A, f1_s5_pboole)) ) )  &  (! [B] :  (m1_subset_1(B, f1_s5_pboole) => k1_funct_1(A, B)=f2_s5_pboole(B)) ) ) ) ).
fof(s6_pboole, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s6_pboole) =>  (? [B] : p1_s6_pboole(A, B)) ) )  =>  (? [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, f1_s6_pboole) &  (v1_funct_1(A) & v1_partfun1(A, f1_s6_pboole)) ) )  &  (! [B] :  (m1_subset_1(B, f1_s6_pboole) => p1_s6_pboole(B, k1_funct_1(A, B))) ) ) ) ) ).
fof(s7_pboole, axiom,  (? [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, f1_s7_pboole) &  (v1_funct_1(A) & v1_partfun1(A, f1_s7_pboole)) ) )  &  (! [B] :  (r2_tarski(B, f1_s7_pboole) => k1_funct_1(A, B)=f2_s7_pboole(B)) ) ) ) ).
fof(reflexivity_r2_pboole, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  => r2_pboole(A, B, B)) ) ).
fof(asymmetry_r3_pboole, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) ) )  =>  (r3_pboole(A, B, C) =>  ~ (r3_pboole(A, C, B)) ) ) ) ).
fof(redefinition_r3_pboole, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) ) )  =>  (r3_pboole(A, B, C) <=> r1_pboole(A, B, C)) ) ) ).
fof(dt_f2_s2_pboole, axiom,  (v1_relat_1(f2_s2_pboole) &  (v4_relat_1(f2_s2_pboole, f1_s2_pboole) &  (v1_funct_1(f2_s2_pboole) & v1_partfun1(f2_s2_pboole, f1_s2_pboole)) ) ) ).
fof(dt_k1_pboole, axiom,  (! [A] :  (v1_relat_1(k1_pboole(A)) &  (v4_relat_1(k1_pboole(A), A) &  (v1_funct_1(k1_pboole(A)) & v1_partfun1(k1_pboole(A), A)) ) ) ) ).
fof(dt_k2_pboole, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (v1_relat_1(k2_pboole(A, B, C)) &  (v4_relat_1(k2_pboole(A, B, C), A) &  (v1_funct_1(k2_pboole(A, B, C)) & v1_partfun1(k2_pboole(A, B, C), A)) ) ) ) ) ).
fof(commutativity_k2_pboole, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  => k2_pboole(A, B, C)=k2_pboole(A, C, B)) ) ).
fof(idempotence_k2_pboole, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  => k2_pboole(A, B, B)=B) ) ).
fof(dt_k3_pboole, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (v1_relat_1(k3_pboole(A, B, C)) &  (v4_relat_1(k3_pboole(A, B, C), A) &  (v1_funct_1(k3_pboole(A, B, C)) & v1_partfun1(k3_pboole(A, B, C), A)) ) ) ) ) ).
fof(commutativity_k3_pboole, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  => k3_pboole(A, B, C)=k3_pboole(A, C, B)) ) ).
fof(idempotence_k3_pboole, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  => k3_pboole(A, B, B)=B) ) ).
fof(dt_k4_pboole, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (v1_relat_1(k4_pboole(A, B, C)) &  (v4_relat_1(k4_pboole(A, B, C), A) &  (v1_funct_1(k4_pboole(A, B, C)) & v1_partfun1(k4_pboole(A, B, C), A)) ) ) ) ) ).
fof(symmetry_r4_pboole, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (r4_pboole(A, B, C) => r4_pboole(A, C, B)) ) ) ).
fof(symmetry_r5_pboole, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (r5_pboole(A, B, C) => r5_pboole(A, C, B)) ) ) ).
fof(dt_k5_pboole, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (v1_relat_1(k5_pboole(A, B, C)) &  (v4_relat_1(k5_pboole(A, B, C), A) &  (v1_funct_1(k5_pboole(A, B, C)) & v1_partfun1(k5_pboole(A, B, C), A)) ) ) ) ) ).
fof(commutativity_k5_pboole, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  => k5_pboole(A, B, C)=k5_pboole(A, C, B)) ) ).
fof(symmetry_r6_pboole, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (r6_pboole(A, B, C) => r6_pboole(A, C, B)) ) ) ).
fof(reflexivity_r6_pboole, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  => r6_pboole(A, B, B)) ) ).
fof(redefinition_r6_pboole, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (r6_pboole(A, B, C) <=> B=C) ) ) ).
fof(reflexivity_r7_pboole, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  => r7_pboole(A, B, B)) ) ).
fof(redefinition_v1_pboole, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v1_pboole(B, A) <=> v3_relat_1(B)) ) ) ).
fof(redefinition_v2_pboole, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v2_pboole(B, A) <=> v2_relat_1(B)) ) ) ).
fof(dt_m1_pboole, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_pboole(C, A, B) =>  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) ) ) ) ) ).
fof(existence_m1_pboole, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (? [C] : m1_pboole(C, A, B)) ) ) ).
fof(dt_m2_pboole, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  (m2_pboole(D, A, B, C) =>  (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) ) ) ) ) ) ).
fof(existence_m2_pboole, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (? [D] : m2_pboole(D, A, B, C)) ) ) ).
fof(dt_f1_s5_pboole, axiom,  ~ (v1_xboole_0(f1_s5_pboole)) ).
fof(dt_k6_pboole, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (v1_relat_1(k6_pboole(A, B, C)) &  (v4_relat_1(k6_pboole(A, B, C), A) &  (v1_funct_1(k6_pboole(A, B, C)) & v1_partfun1(k6_pboole(A, B, C), A)) ) ) ) ) ).
fof(dt_k7_pboole, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (v1_relat_1(k7_pboole(A, B, C)) &  (v4_relat_1(k7_pboole(A, B, C), A) &  (v1_funct_1(k7_pboole(A, B, C)) & v1_partfun1(k7_pboole(A, B, C), A)) ) ) ) ) ).
fof(dt_m3_pboole, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m3_pboole(C, A, B) =>  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) ) ) ) ) ).
fof(existence_m3_pboole, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (? [C] : m3_pboole(C, A, B)) ) ) ).
fof(dt_k8_pboole, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_funcop_1(B)) ) )  =>  (v1_relat_1(k8_pboole(A, B)) & v1_funct_1(k8_pboole(A, B))) ) ) ).
fof(dt_k9_pboole, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v1_funcop_1(C)) ) ) ) )  =>  (v1_relat_1(k9_pboole(A, B, C)) &  (v4_relat_1(k9_pboole(A, B, C), A) &  (v1_funct_1(k9_pboole(A, B, C)) & v1_partfun1(k9_pboole(A, B, C), A)) ) ) ) ) ).
fof(dt_f1_s6_pboole, axiom,  ~ (v1_xboole_0(f1_s6_pboole)) ).
fof(symmetry_r8_pboole, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) ) )  =>  (r8_pboole(A, B, C) => r8_pboole(A, C, B)) ) ) ).
fof(reflexivity_r8_pboole, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) ) )  => r8_pboole(A, B, B)) ) ).
fof(redefinition_r8_pboole, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) ) )  =>  (r8_pboole(A, B, C) <=> B=C) ) ) ).
fof(rc1_pcomps_1, axiom,  (? [A] :  (l1_pre_topc(A) &  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v2_pcomps_1(A)) ) ) ) ).
fof(fc1_pcomps_1, axiom,  (! [A] :  (l1_metric_1(A) =>  (v1_pre_topc(k3_pcomps_1(A)) & v2_pre_topc(k3_pcomps_1(A))) ) ) ).
fof(fc2_pcomps_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_metric_1(A))  =>  ~ (v2_struct_0(k3_pcomps_1(A))) ) ) ).
fof(rc2_pcomps_1, axiom,  (? [A] :  (l1_pre_topc(A) &  ( ~ (v2_struct_0(A))  &  (v1_pre_topc(A) &  (v2_pre_topc(A) & v8_pre_topc(A)) ) ) ) ) ).
fof(rc3_pcomps_1, axiom,  (? [A] :  (l1_pre_topc(A) &  ( ~ (v2_struct_0(A))  &  (v1_pre_topc(A) &  (v2_pre_topc(A) & v3_pcomps_1(A)) ) ) ) ) ).
fof(t1_pcomps_1, axiom,  (! [A] :  (l1_metric_1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (r1_xxreal_0(C, D) => r1_tarski(k8_metric_1(A, B, C), k8_metric_1(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t2_pcomps_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ~ ( ( ~ (k2_pre_topc(A, B)=k1_xboole_0)  & B=k1_xboole_0) )  &  ~ ( ( ~ (B=k1_xboole_0)  & k2_pre_topc(A, B)=k1_xboole_0) ) ) ) ) ) ) ).
fof(t3_pcomps_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (m1_setfam_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) &  (r2_tarski(C, D) & r2_tarski(D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t4_pcomps_1, axiom,  (! [A] : u1_pre_topc(k1_compts_1(A))=k9_setfam_1(A)) ).
fof(t5_pcomps_1, axiom,  (! [A] : u1_struct_0(k1_compts_1(A))=A) ).
fof(t6_pcomps_1, axiom,  (! [A] : v1_compts_1(k1_compts_1(k1_tarski(A)))) ).
fof(t7_pcomps_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v8_pre_topc(A) => v4_pre_topc(k6_domain_1(u1_struct_0(A), B), A)) ) ) ) ) ).
fof(t9_pcomps_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ( (r1_tarski(B, C) & v1_pcomps_1(C, A))  => v1_pcomps_1(B, A)) ) ) ) ) ) ) ).
fof(t10_pcomps_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (v1_finset_1(B) => v1_pcomps_1(B, A)) ) ) ) ) ).
fof(d2_pcomps_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (C=k1_pcomps_1(A, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(D, C) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) &  (D=k2_pre_topc(A, E) & r2_tarski(E, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_pcomps_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => v2_tops_2(k1_pcomps_1(A, B), A)) ) ) ) ).
fof(t12_pcomps_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (B=k1_xboole_0 => k1_pcomps_1(A, B)=k1_xboole_0) ) ) ) ) ).
fof(t13_pcomps_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (C=k6_domain_1(k1_zfmisc_1(u1_struct_0(A)), B) => k1_pcomps_1(A, C)=k6_domain_1(k1_zfmisc_1(u1_struct_0(A)), k2_pre_topc(A, B))) ) ) ) ) ) ) ).
fof(t14_pcomps_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (r1_tarski(B, C) => r1_tarski(k1_pcomps_1(A, B), k1_pcomps_1(A, C))) ) ) ) ) ) ) ).
fof(t15_pcomps_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => k1_pcomps_1(A, k4_subset_1(k1_zfmisc_1(u1_struct_0(A)), B, C))=k4_subset_1(k1_zfmisc_1(u1_struct_0(A)), k1_pcomps_1(A, B), k1_pcomps_1(A, C))) ) ) ) ) ) ).
fof(t16_pcomps_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (v1_finset_1(B) => k2_pre_topc(A, k5_setfam_1(u1_struct_0(A), B))=k5_setfam_1(u1_struct_0(A), k1_pcomps_1(A, B))) ) ) ) ) ).
fof(t17_pcomps_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => r1_setfam_1(B, k1_pcomps_1(A, B))) ) ) ) ).
fof(t18_pcomps_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (v1_pcomps_1(B, A) => v1_pcomps_1(k1_pcomps_1(A, B), A)) ) ) ) ) ).
fof(t19_pcomps_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => r1_tarski(k5_setfam_1(u1_struct_0(A), B), k5_setfam_1(u1_struct_0(A), k1_pcomps_1(A, B)))) ) ) ) ).
fof(t20_pcomps_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (v1_pcomps_1(B, A) => k2_pre_topc(A, k5_setfam_1(u1_struct_0(A), B))=k5_setfam_1(u1_struct_0(A), k1_pcomps_1(A, B))) ) ) ) ) ).
fof(t21_pcomps_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ( (v1_pcomps_1(B, A) & v2_tops_2(B, A))  => v4_pre_topc(k5_setfam_1(u1_struct_0(A), B), A)) ) ) ) ) ).
fof(d3_pcomps_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v2_pcomps_1(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ~ ( (m1_setfam_1(B, u1_struct_0(A)) &  (v1_tops_2(B, A) &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ~ ( (v1_tops_2(C, A) &  (m1_setfam_1(C, u1_struct_0(A)) &  (r1_setfam_1(C, B) & v1_pcomps_1(C, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_pcomps_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v1_compts_1(A) => v2_pcomps_1(A)) ) ) ).
fof(t23_pcomps_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v2_pcomps_1(A) &  (v4_pre_topc(C, A) &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(D, C) &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v3_pre_topc(E, A) &  (v3_pre_topc(F, A) &  (r1_tarski(B, E) &  (r2_tarski(D, F) & r1_xboole_0(E, F)) ) ) ) ) ) ) ) ) ) ) ) )  &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v3_pre_topc(D, A) &  (v3_pre_topc(E, A) &  (r1_tarski(B, D) &  (r1_tarski(C, E) & r1_xboole_0(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_pcomps_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( (v8_pre_topc(A) & v2_pcomps_1(A))  => v9_pre_topc(A)) ) ) ).
fof(t25_pcomps_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( (v8_pre_topc(A) & v2_pcomps_1(A))  => v10_pre_topc(A)) ) ) ).
fof(d4_pcomps_1, axiom,  (! [A] :  (l1_metric_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (B=k2_pcomps_1(A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(C, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(D, C) &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  & r1_tarski(k8_metric_1(A, D, E), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_pcomps_1, axiom,  (! [A] :  (l1_metric_1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(C, k5_numbers))  & r1_tarski(k8_metric_1(A, B, C), u1_struct_0(A))) ) ) ) ) ) ) ).
fof(t27_pcomps_1, axiom,  (! [A] :  (l1_metric_1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( (v9_metric_1(A) &  (r2_tarski(C, k8_metric_1(A, B, D)) &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  & r1_tarski(k8_metric_1(A, C, E), k8_metric_1(A, B, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_pcomps_1, axiom,  (! [A] :  (l1_metric_1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (v9_metric_1(A) &  (r2_tarski(E, k9_subset_1(u1_struct_0(A), k8_metric_1(A, D, B), k8_metric_1(A, F, C))) &  (! [G] :  (v1_xreal_0(G) =>  ~ ( (r1_tarski(k8_metric_1(A, E, G), k8_metric_1(A, D, B)) & r1_tarski(k8_metric_1(A, E, G), k8_metric_1(A, F, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_pcomps_1, axiom,  (! [A] :  (l1_metric_1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) =>  (v9_metric_1(A) => r2_tarski(k8_metric_1(A, B, C), k2_pcomps_1(A))) ) ) ) ) ) ) ).
fof(t30_pcomps_1, axiom,  (! [A] :  (l1_metric_1(A) => r2_tarski(u1_struct_0(A), k2_pcomps_1(A))) ) ).
fof(t31_pcomps_1, axiom,  (! [A] :  (l1_metric_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r2_tarski(B, k2_pcomps_1(A)) & r2_tarski(C, k2_pcomps_1(A)))  => r2_tarski(k9_subset_1(u1_struct_0(A), B, C), k2_pcomps_1(A))) ) ) ) ) ) ) ).
fof(t32_pcomps_1, axiom,  (! [A] :  (l1_metric_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (r1_tarski(B, k2_pcomps_1(A)) => r2_tarski(k5_setfam_1(u1_struct_0(A), B), k2_pcomps_1(A))) ) ) ) ) ).
fof(t33_pcomps_1, axiom,  (! [A] :  (l1_metric_1(A) =>  (v2_pre_topc(g1_pre_topc(u1_struct_0(A), k2_pcomps_1(A))) & l1_pre_topc(g1_pre_topc(u1_struct_0(A), k2_pcomps_1(A)))) ) ) ).
fof(d5_pcomps_1, axiom,  (! [A] :  (l1_metric_1(A) => k3_pcomps_1(A)=g1_pre_topc(u1_struct_0(A), k2_pcomps_1(A))) ) ).
fof(t34_pcomps_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_metric_1(A) &  (v7_metric_1(A) &  (v8_metric_1(A) &  (v9_metric_1(A) & l1_metric_1(A)) ) ) ) )  => v8_pre_topc(k3_pcomps_1(A))) ) ).
fof(d6_pcomps_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) )  =>  (r1_pcomps_1(A, B) <=>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  ( (k1_binop_1(B, C, D)=k5_numbers => C=D)  &  ( (C=D => k1_binop_1(B, C, D)=k5_numbers)  &  (k1_binop_1(B, C, D)=k1_binop_1(B, D, C) & r1_xxreal_0(k1_binop_1(B, C, E), k2_xcmplx_0(k1_binop_1(B, C, D), k1_binop_1(B, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_pcomps_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) )  =>  (r1_pcomps_1(A, B) <=>  (v6_metric_1(g1_metric_1(A, B)) &  (v7_metric_1(g1_metric_1(A, B)) &  (v8_metric_1(g1_metric_1(A, B)) &  (v9_metric_1(g1_metric_1(A, B)) & l1_metric_1(g1_metric_1(A, B))) ) ) ) ) ) ) ) ).
fof(d7_pcomps_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) )  =>  (r1_pcomps_1(A, B) => k4_pcomps_1(A, B)=g1_metric_1(A, B)) ) ) ) ).
fof(d8_pcomps_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v3_pcomps_1(A) <=>  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers)))) )  &  (r1_pcomps_1(u1_struct_0(A), B) & k2_pcomps_1(k4_pcomps_1(u1_struct_0(A), B))=u1_pre_topc(A)) ) ) ) ) ) ).
fof(t36_pcomps_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) )  =>  ~ ( (r1_pcomps_1(A, B) & v2_struct_0(k4_pcomps_1(A, B))) ) ) ) ) ) ).
fof(s1_pcomps_1, axiom,  ( (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(f1_s1_pcomps_1))) =>  (r2_tarski(A, f2_s1_pcomps_1) => r2_tarski(f4_s1_pcomps_1(A), f3_s1_pcomps_1)) ) )  =>  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, f2_s1_pcomps_1, f3_s1_pcomps_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(f2_s1_pcomps_1, f3_s1_pcomps_1)))) )  &  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(f1_s1_pcomps_1))) =>  (r2_tarski(B, f2_s1_pcomps_1) => k1_funct_1(A, B)=f4_s1_pcomps_1(B)) ) ) ) ) ) ).
fof(dt_k1_pcomps_1, axiom,  (! [A, B] :  ( (l1_pre_topc(A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))  => m1_subset_1(k1_pcomps_1(A, B), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_f1_s1_pcomps_1, axiom,  (v2_pre_topc(f1_s1_pcomps_1) & l1_pre_topc(f1_s1_pcomps_1)) ).
fof(dt_f2_s1_pcomps_1, axiom, m1_subset_1(f2_s1_pcomps_1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(f1_s1_pcomps_1))))).
fof(dt_f3_s1_pcomps_1, axiom, m1_subset_1(f3_s1_pcomps_1, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(f1_s1_pcomps_1))))).
fof(dt_f4_s1_pcomps_1, axiom,  (! [A] : m1_subset_1(f4_s1_pcomps_1(A), k1_zfmisc_1(u1_struct_0(f1_s1_pcomps_1)))) ).
fof(dt_k2_pcomps_1, axiom,  (! [A] :  (l1_metric_1(A) => m1_subset_1(k2_pcomps_1(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k3_pcomps_1, axiom,  (! [A] :  (l1_metric_1(A) => l1_pre_topc(k3_pcomps_1(A))) ) ).
fof(dt_k4_pcomps_1, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k1_numbers)))) )  =>  (v1_metric_1(k4_pcomps_1(A, B)) &  (v6_metric_1(k4_pcomps_1(A, B)) &  (v7_metric_1(k4_pcomps_1(A, B)) &  (v8_metric_1(k4_pcomps_1(A, B)) &  (v9_metric_1(k4_pcomps_1(A, B)) & l1_metric_1(k4_pcomps_1(A, B))) ) ) ) ) ) ) ).
fof(d1_pcomps_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (v1_pcomps_1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) &  (r2_tarski(C, D) &  (v3_pre_topc(D, A) & v1_finset_1(a_3_0_pcomps_1(A, B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_pcomps_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(a_3_1_pcomps_1(A, B, C), B)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_pcomps_1, axiom,  (! [A, B, C, D] :  ( (l1_pre_topc(B) &  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (r2_hidden(A, a_3_0_pcomps_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) &  (A=E &  (r2_tarski(E, C) &  ~ (r1_xboole_0(E, D)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_pcomps_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  &  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (r2_hidden(A, a_3_1_pcomps_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) &  (A=E &  (r2_tarski(E, C) &  ~ (r1_xboole_0(E, D)) ) ) ) ) ) ) ) ).
fof(t1_pcomps_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r2_wellord1(A, B) =>  (r2_wellord1(k2_wellord1(A, B), B) & B=k1_relat_1(k2_wellord1(A, B))) ) ) ) ) ).
fof(d1_pcomps_2, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (m1_subset_1(C, A) => k1_pcomps_2(A, B, C)=k3_tarski(k1_wellord1(B, C))) ) ) ) ) ).
fof(d2_pcomps_2, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (C=k2_pcomps_2(A, B) <=>  (! [D] :  (r2_tarski(D, C) <=>  (? [E] :  (m1_subset_1(E, A) &  (r2_tarski(E, A) & D=k6_subset_1(E, k1_pcomps_2(A, B, E))) ) ) ) ) ) ) ) ) ) ).
fof(d3_pcomps_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  => k3_pcomps_2(A, B, C)=k3_tarski(k7_relat_1(C, k7_subset_1(k4_ordinal1, k2_finseq_1(B), k1_tarski(B))))) ) ) ) ) ).
fof(t2_pcomps_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v9_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ~ ( (m1_setfam_1(B, u1_struct_0(A)) &  (v1_tops_2(B, A) &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ~ ( (v1_tops_2(C, A) &  (m1_setfam_1(C, u1_struct_0(A)) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_tarski(D, C) &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_tarski(E, B) & r1_tarski(k2_pre_topc(A, D), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_pcomps_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ~ ( (v8_pre_topc(A) &  (v2_pcomps_1(A) &  (m1_setfam_1(B, u1_struct_0(A)) &  (v1_tops_2(B, A) &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ~ ( (v1_tops_2(C, A) &  (m1_setfam_1(C, u1_struct_0(A)) &  (r1_setfam_1(k1_pcomps_1(A, C), B) & v1_pcomps_1(C, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_pcomps_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers)))) )  =>  ( (r1_pcomps_1(u1_struct_0(A), C) & B=k4_pcomps_1(u1_struct_0(A), C))  => u1_struct_0(B)=u1_struct_0(A)) ) ) ) ) ) ) ).
fof(t5_pcomps_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v6_metric_1(B) &  (v7_metric_1(B) &  (v8_metric_1(B) &  (v9_metric_1(B) & l1_metric_1(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_numbers)))) )  =>  ( (r1_pcomps_1(u1_struct_0(A), D) & B=k4_pcomps_1(u1_struct_0(A), D))  =>  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) <=> m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B))))) ) ) ) ) ) ) ) ) ) ).
fof(t6_pcomps_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v3_pcomps_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ~ ( (m1_setfam_1(B, u1_struct_0(A)) &  (v1_tops_2(B, A) &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ~ ( (v1_tops_2(C, A) &  (m1_setfam_1(C, u1_struct_0(A)) &  (r1_setfam_1(C, B) & v1_pcomps_1(C, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_pcomps_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v3_pcomps_1(A) => v2_pcomps_1(A)) ) ) ).
fof(s1_pcomps_2, axiom,  ( (r2_wellord1(f2_s1_pcomps_2, f1_s1_pcomps_2) &  (? [A] :  (r2_tarski(A, f1_s1_pcomps_2) & p1_s1_pcomps_2(A)) ) )  =>  (? [A] :  (r2_tarski(A, f1_s1_pcomps_2) &  (p1_s1_pcomps_2(A) &  (! [B] :  ( (r2_tarski(B, f1_s1_pcomps_2) & p1_s1_pcomps_2(B))  => r2_hidden(k4_tarski(A, B), f2_s1_pcomps_2)) ) ) ) ) ) ).
fof(dt_f2_s1_pcomps_2, axiom, v1_relat_1(f2_s1_pcomps_2)).
fof(dt_f1_s2_pcomps_2, axiom,  ~ (v1_xboole_0(f1_s2_pcomps_2)) ).
fof(dt_f2_s2_pcomps_2, axiom, m1_subset_1(f2_s2_pcomps_2, k1_zfmisc_1(k1_zfmisc_1(f1_s2_pcomps_2)))).
fof(dt_f3_s2_pcomps_2, axiom,  (! [A, B] : m1_subset_1(f3_s2_pcomps_2(A, B), k1_zfmisc_1(f1_s2_pcomps_2))) ).
fof(dt_f1_s3_pcomps_2, axiom,  ~ (v1_xboole_0(f1_s3_pcomps_2)) ).
fof(dt_f2_s3_pcomps_2, axiom, m1_subset_1(f2_s3_pcomps_2, k1_zfmisc_1(k1_zfmisc_1(f1_s3_pcomps_2)))).
fof(dt_f3_s3_pcomps_2, axiom,  (! [A, B] : m1_subset_1(f3_s3_pcomps_2(A, B), k1_zfmisc_1(f1_s3_pcomps_2))) ).
fof(s2_pcomps_2, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k9_setfam_1(k9_setfam_1(f1_s2_pcomps_2))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k9_setfam_1(f1_s2_pcomps_2)))))) )  &  (k3_funct_2(k4_ordinal1, k9_setfam_1(k9_setfam_1(f1_s2_pcomps_2)), A, k5_numbers)=f2_s2_pcomps_2 &  (! [B] :  (v7_ordinal1(B) => k3_funct_2(k4_ordinal1, k9_setfam_1(k9_setfam_1(f1_s2_pcomps_2)), A, k1_nat_1(B, 1))=a_2_0_pcomps_2(A, B)) ) ) ) ) ).
fof(s3_pcomps_2, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k9_setfam_1(k9_setfam_1(f1_s3_pcomps_2))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k9_setfam_1(f1_s3_pcomps_2)))))) )  &  (k3_funct_2(k4_ordinal1, k9_setfam_1(k9_setfam_1(f1_s3_pcomps_2)), A, k5_numbers)=f2_s3_pcomps_2 &  (! [B] :  (v7_ordinal1(B) => k3_funct_2(k4_ordinal1, k9_setfam_1(k9_setfam_1(f1_s3_pcomps_2)), A, k1_nat_1(B, 1))=a_2_1_pcomps_2(A, B)) ) ) ) ) ).
fof(fraenkel_a_2_0_pcomps_2, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(k9_setfam_1(f1_s2_pcomps_2))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k9_setfam_1(f1_s2_pcomps_2)))))) )  & v7_ordinal1(C))  =>  (r2_hidden(A, a_2_0_pcomps_2(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(f1_s2_pcomps_2)) &  (A=k3_tarski(a_3_0_pcomps_2(B, C, D)) & p1_s2_pcomps_2(D)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_pcomps_2, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(k9_setfam_1(f1_s2_pcomps_2))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k9_setfam_1(f1_s2_pcomps_2)))))) )  &  (v7_ordinal1(C) & m1_subset_1(D, k1_zfmisc_1(f1_s2_pcomps_2))) )  =>  (r2_hidden(A, a_3_0_pcomps_2(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, f1_s2_pcomps_2) &  (A=f3_s2_pcomps_2(E, C) &  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k1_zfmisc_1(f1_s2_pcomps_2))) =>  (! [G] :  (v7_ordinal1(G) =>  ( (r1_xxreal_0(G, C) & F=k1_funct_1(B, G))  => p2_s2_pcomps_2(E, D, C, F)) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_pcomps_2, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(k9_setfam_1(f1_s3_pcomps_2))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k9_setfam_1(f1_s3_pcomps_2)))))) )  & v7_ordinal1(C))  =>  (r2_hidden(A, a_2_1_pcomps_2(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(f1_s3_pcomps_2)) &  (A=k3_tarski(a_3_1_pcomps_2(B, C, D)) & p1_s3_pcomps_2(D)) ) ) ) ) ) ).
fof(fraenkel_a_3_1_pcomps_2, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(k9_setfam_1(f1_s3_pcomps_2))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k9_setfam_1(f1_s3_pcomps_2)))))) )  &  (v7_ordinal1(C) & m1_subset_1(D, k1_zfmisc_1(f1_s3_pcomps_2))) )  =>  (r2_hidden(A, a_3_1_pcomps_2(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, f1_s3_pcomps_2) &  (A=f3_s3_pcomps_2(E, C) &  (p2_s3_pcomps_2(E, D, C) &  ~ (r2_tarski(E, k3_tarski(a_2_2_pcomps_2(B, C)))) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_2_pcomps_2, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(k9_setfam_1(f1_s3_pcomps_2))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k9_setfam_1(f1_s3_pcomps_2)))))) )  & v7_ordinal1(C))  =>  (r2_hidden(A, a_2_2_pcomps_2(B, C)) <=>  (? [D] :  (v7_ordinal1(D) &  (A=k3_tarski(k1_funct_1(B, D)) & r1_xxreal_0(D, C)) ) ) ) ) ) ).
fof(fc1_pcs_0, axiom,  (! [A, B, C, D] :  ( ( (v1_partfun1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  (v1_partfun1(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) )  => v1_partfun1(k2_xboole_0(C, D), k2_xboole_0(A, B))) ) ).
fof(fc2_pcs_0, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  (v1_relat_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) )  => v1_relat_2(k2_xboole_0(C, D))) ) ).
fof(fc3_pcs_0, axiom,  (! [A, B, C, D] :  ( ( (v3_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  (v3_relat_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) )  => v3_relat_2(k2_xboole_0(C, D))) ) ).
fof(fc4_pcs_0, axiom,  (! [A, B, C, D] :  ( ( (v1_partfun1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  (v1_partfun1(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) )  => v1_partfun1(k3_pcs_0(A, A, B, B, C, D), k2_zfmisc_1(A, B))) ) ).
fof(fc5_pcs_0, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  (v1_relat_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) )  => v1_relat_2(k3_pcs_0(A, A, B, B, C, D))) ) ).
fof(fc6_pcs_0, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (v1_partfun1(D, B) &  (v1_relat_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  => v1_relat_2(k3_pcs_0(A, A, B, B, C, D))) ) ).
fof(fc7_pcs_0, axiom,  (! [A, B, C, D] :  ( ( (v1_partfun1(C, A) &  (v1_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B))))  => v1_relat_2(k3_pcs_0(A, A, B, B, C, D))) ) ).
fof(fc8_pcs_0, axiom,  (! [A, B, C, D] :  ( ( (v3_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  (v3_relat_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) )  => v3_relat_2(k3_pcs_0(A, A, B, B, C, D))) ) ).
fof(cc1_pcs_0, axiom,  (! [A] :  (l1_orders_2(A) =>  (v2_struct_0(A) => v2_orders_2(A)) ) ) ).
fof(cc2_pcs_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_yellow16(A))  =>  (v1_relat_1(A) & v1_pcs_0(A)) ) ) ).
fof(rc1_pcs_0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v1_yellow16(A)) ) ) ).
fof(rc2_pcs_0, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_yellow16(B)) ) ) ) ) ) ).
fof(fc9_pcs_0, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_yellow_1(B)) ) ) )  =>  (v1_relat_1(k4_pcs_0(A, B)) &  (v4_relat_1(k4_pcs_0(A, B), A) &  (v1_funct_1(k4_pcs_0(A, B)) &  (v1_partfun1(k4_pcs_0(A, B), A) & v2_funcop_1(k4_pcs_0(A, B))) ) ) ) ) ) ).
fof(fc10_pcs_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_yellow_1(B) & v1_pcs_0(B)) ) ) ) )  & m1_subset_1(C, A)) )  => v4_orders_2(k1_funct_1(B, C))) ) ).
fof(rc3_pcs_0, axiom,  (? [A] :  (l1_pcs_0(A) & v2_pcs_0(A)) ) ).
fof(fc11_pcs_0, axiom,  (v2_struct_0(k5_pcs_0) & v2_pcs_0(k5_pcs_0)) ).
fof(cc3_pcs_0, axiom,  (! [A] :  (l1_pcs_0(A) =>  (v4_pcs_0(A) => v3_pcs_0(A)) ) ) ).
fof(cc4_pcs_0, axiom,  (! [A] :  (l1_pcs_0(A) =>  (v2_struct_0(A) =>  (v4_pcs_0(A) &  (v5_pcs_0(A) & v6_pcs_0(A)) ) ) ) ) ).
fof(rc4_pcs_0, axiom,  (? [A] :  (l1_pcs_0(A) &  (v2_struct_0(A) & v2_pcs_0(A)) ) ) ).
fof(fc12_pcs_0, axiom,  (! [A] :  ( (v3_pcs_0(A) & l1_pcs_0(A))  => v1_partfun1(u1_pcs_0(A), u1_struct_0(A))) ) ).
fof(fc13_pcs_0, axiom,  (! [A] :  ( (v4_pcs_0(A) & l1_pcs_0(A))  => v1_relat_2(u1_pcs_0(A))) ) ).
fof(fc14_pcs_0, axiom,  (! [A] :  ( (v5_pcs_0(A) & l1_pcs_0(A))  => v2_relat_2(u1_pcs_0(A))) ) ).
fof(fc15_pcs_0, axiom,  (! [A] :  ( (v6_pcs_0(A) & l1_pcs_0(A))  => v3_relat_2(u1_pcs_0(A))) ) ).
fof(fc16_pcs_0, axiom,  (! [A] :  ( (v3_pcs_0(A) & l1_pcs_0(A))  =>  (v2_pcs_0(g1_pcs_0(u1_struct_0(A), u1_pcs_0(A))) & v3_pcs_0(g1_pcs_0(u1_struct_0(A), u1_pcs_0(A)))) ) ) ).
fof(fc17_pcs_0, axiom,  (! [A] :  (v2_pcs_0(g1_pcs_0(A, k1_eqrel_1(A))) &  (v4_pcs_0(g1_pcs_0(A, k1_eqrel_1(A))) & v6_pcs_0(g1_pcs_0(A, k1_eqrel_1(A)))) ) ) ).
fof(fc18_pcs_0, axiom,  (! [A] :  (v2_pcs_0(g1_pcs_0(A, k1_partit_2(A, A))) &  (v5_pcs_0(g1_pcs_0(A, k1_partit_2(A, A))) & v6_pcs_0(g1_pcs_0(A, k1_partit_2(A, A)))) ) ) ).
fof(rc5_pcs_0, axiom,  (? [A] :  (l1_pcs_0(A) &  ( ~ (v2_struct_0(A))  &  (v2_pcs_0(A) &  (v4_pcs_0(A) & v6_pcs_0(A)) ) ) ) ) ).
fof(rc6_pcs_0, axiom,  (? [A] :  (l1_pcs_0(A) &  ( ~ (v2_struct_0(A))  &  (v2_pcs_0(A) &  (v5_pcs_0(A) & v6_pcs_0(A)) ) ) ) ) ).
fof(cc5_pcs_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) &  (v9_pcs_0(A) &  (v10_pcs_0(A) & v11_pcs_0(A)) ) ) ) ) ).
fof(fc19_pcs_0, axiom,  (! [A, B] :  (l1_pcs_0(B) =>  (v1_relat_1(k2_funcop_1(A, B)) &  (v4_relat_1(k2_funcop_1(A, B), A) &  (v1_funct_1(k2_funcop_1(A, B)) &  (v1_partfun1(k2_funcop_1(A, B), A) & v7_pcs_0(k2_funcop_1(A, B))) ) ) ) ) ) ).
fof(fc20_pcs_0, axiom,  (! [A, B] :  ( (v4_pcs_0(B) & l1_pcs_0(B))  =>  (v1_relat_1(k2_funcop_1(A, B)) &  (v4_relat_1(k2_funcop_1(A, B), A) &  (v1_funct_1(k2_funcop_1(A, B)) &  (v1_partfun1(k2_funcop_1(A, B), A) & v9_pcs_0(k2_funcop_1(A, B))) ) ) ) ) ) ).
fof(fc21_pcs_0, axiom,  (! [A, B] :  ( (v5_pcs_0(B) & l1_pcs_0(B))  =>  (v1_relat_1(k2_funcop_1(A, B)) &  (v4_relat_1(k2_funcop_1(A, B), A) &  (v1_funct_1(k2_funcop_1(A, B)) &  (v1_partfun1(k2_funcop_1(A, B), A) & v10_pcs_0(k2_funcop_1(A, B))) ) ) ) ) ) ).
fof(fc22_pcs_0, axiom,  (! [A, B] :  ( (v6_pcs_0(B) & l1_pcs_0(B))  =>  (v1_relat_1(k2_funcop_1(A, B)) &  (v4_relat_1(k2_funcop_1(A, B), A) &  (v1_funct_1(k2_funcop_1(A, B)) &  (v1_partfun1(k2_funcop_1(A, B), A) & v11_pcs_0(k2_funcop_1(A, B))) ) ) ) ) ) ).
fof(cc6_pcs_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v7_pcs_0(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_pralg_1(A)) ) ) ) ).
fof(rc7_pcs_0, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v7_pcs_0(B) &  (v9_pcs_0(B) & v11_pcs_0(B)) ) ) ) ) ) ) ) ).
fof(rc8_pcs_0, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v7_pcs_0(B) &  (v10_pcs_0(B) & v11_pcs_0(B)) ) ) ) ) ) ) ) ).
fof(rc9_pcs_0, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v7_pcs_0(B)) ) ) ) ) ) ).
fof(fc23_pcs_0, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v7_pcs_0(B)) ) ) )  =>  (v1_relat_1(k7_pcs_0(A, B)) &  (v4_relat_1(k7_pcs_0(A, B), A) &  (v1_funct_1(k7_pcs_0(A, B)) &  (v1_partfun1(k7_pcs_0(A, B), A) & v2_funcop_1(k7_pcs_0(A, B))) ) ) ) ) ) ).
fof(fc24_pcs_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v7_pcs_0(B) & v9_pcs_0(B)) ) ) ) )  & m1_subset_1(C, A)) )  => v4_pcs_0(k1_funct_1(B, C))) ) ).
fof(fc25_pcs_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v7_pcs_0(B) & v10_pcs_0(B)) ) ) ) )  & m1_subset_1(C, A)) )  => v5_pcs_0(k1_funct_1(B, C))) ) ).
fof(fc26_pcs_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v7_pcs_0(B) & v11_pcs_0(B)) ) ) ) )  & m1_subset_1(C, A)) )  => v6_pcs_0(k1_funct_1(B, C))) ) ).
fof(fc27_pcs_0, axiom,  (! [A, B] :  ( (l1_pcs_0(A) &  (v4_pcs_0(B) & l1_pcs_0(B)) )  => v4_pcs_0(k8_pcs_0(A, B))) ) ).
fof(fc28_pcs_0, axiom,  (! [A, B] :  ( ( (v4_pcs_0(A) & l1_pcs_0(A))  & l1_pcs_0(B))  => v4_pcs_0(k8_pcs_0(A, B))) ) ).
fof(fc29_pcs_0, axiom,  (! [A, B] :  ( ( (v6_pcs_0(A) & l1_pcs_0(A))  &  (v6_pcs_0(B) & l1_pcs_0(B)) )  => v6_pcs_0(k8_pcs_0(A, B))) ) ).
fof(rc10_pcs_0, axiom,  (? [A] :  (l2_pcs_0(A) & v12_pcs_0(A)) ) ).
fof(cc7_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (v14_pcs_0(A) =>  (v3_orders_2(A) &  (v4_orders_2(A) &  (v4_pcs_0(A) &  (v6_pcs_0(A) & v13_pcs_0(A)) ) ) ) ) ) ) ).
fof(cc8_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v4_pcs_0(A) &  (v6_pcs_0(A) & v13_pcs_0(A)) ) ) )  => v14_pcs_0(A)) ) ) ).
fof(cc9_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (v15_pcs_0(A) =>  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_pcs_0(A) &  (v6_pcs_0(A) & v13_pcs_0(A)) ) ) ) ) ) ) ).
fof(cc10_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_pcs_0(A) &  (v6_pcs_0(A) & v13_pcs_0(A)) ) ) )  => v15_pcs_0(A)) ) ) ).
fof(fc30_pcs_0, axiom,  (! [A] : v12_pcs_0(k12_pcs_0(A))) ).
fof(fc31_pcs_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v2_struct_0(k12_pcs_0(A))) ) ) ).
fof(fc32_pcs_0, axiom,  (! [A] :  (v3_orders_2(k12_pcs_0(A)) &  (v4_orders_2(k12_pcs_0(A)) &  (v4_pcs_0(k12_pcs_0(A)) & v6_pcs_0(k12_pcs_0(A))) ) ) ) ).
fof(fc33_pcs_0, axiom,  (! [A] : v14_pcs_0(k12_pcs_0(A))) ).
fof(fc34_pcs_0, axiom,  (! [A] :  (v12_pcs_0(g2_pcs_0(A, k1_eqrel_1(A), k1_partit_2(A, A))) & v15_pcs_0(g2_pcs_0(A, k1_eqrel_1(A), k1_partit_2(A, A)))) ) ).
fof(rc11_pcs_0, axiom,  (? [A] :  (l2_pcs_0(A) &  ( ~ (v2_struct_0(A))  &  (v12_pcs_0(A) & v14_pcs_0(A)) ) ) ) ).
fof(rc12_pcs_0, axiom,  (? [A] :  (l2_pcs_0(A) &  ( ~ (v2_struct_0(A))  &  (v12_pcs_0(A) & v15_pcs_0(A)) ) ) ) ).
fof(fc35_pcs_0, axiom,  (v2_struct_0(k13_pcs_0) &  (v12_pcs_0(k13_pcs_0) & v14_pcs_0(k13_pcs_0)) ) ).
fof(fc36_pcs_0, axiom,  (! [A] :  ( ~ (v2_struct_0(k14_pcs_0(A)))  &  (v12_pcs_0(k14_pcs_0(A)) & v14_pcs_0(k14_pcs_0(A))) ) ) ).
fof(cc11_pcs_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v16_pcs_0(A))  =>  (v1_relat_1(A) &  (v1_yellow_1(A) & v7_pcs_0(A)) ) ) ) ).
fof(cc12_pcs_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v17_pcs_0(A))  =>  (v1_relat_1(A) & v16_pcs_0(A)) ) ) ).
fof(cc13_pcs_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v17_pcs_0(A))  =>  (v1_relat_1(A) &  (v5_waybel_3(A) &  (v1_pcs_0(A) &  (v9_pcs_0(A) & v11_pcs_0(A)) ) ) ) ) ) ).
fof(fc37_pcs_0, axiom,  (! [A, B] :  ( (v14_pcs_0(B) & l2_pcs_0(B))  =>  (v1_relat_1(k2_funcop_1(A, B)) &  (v4_relat_1(k2_funcop_1(A, B), A) &  (v1_funct_1(k2_funcop_1(A, B)) &  (v1_partfun1(k2_funcop_1(A, B), A) & v17_pcs_0(k2_funcop_1(A, B))) ) ) ) ) ) ).
fof(rc13_pcs_0, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v17_pcs_0(B)) ) ) ) ) ) ).
fof(fc38_pcs_0, axiom,  (! [A, B] :  (l2_pcs_0(B) =>  (v1_relat_1(k2_funcop_1(A, B)) &  (v4_relat_1(k2_funcop_1(A, B), A) &  (v1_funct_1(k2_funcop_1(A, B)) &  (v1_partfun1(k2_funcop_1(A, B), A) & v20_pcs_0(k2_funcop_1(A, B))) ) ) ) ) ) ).
fof(rc14_pcs_0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v17_pcs_0(A) & v20_pcs_0(A)) ) ) ) ).
fof(rc15_pcs_0, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v17_pcs_0(B) & v20_pcs_0(B)) ) ) ) ) ) ) ).
fof(fc39_pcs_0, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v5_waybel_3(B) & v16_pcs_0(B)) ) ) ) )  =>  (v3_orders_2(k17_pcs_0(A, B)) & v12_pcs_0(k17_pcs_0(A, B))) ) ) ).
fof(fc40_pcs_0, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v9_pcs_0(B) & v16_pcs_0(B)) ) ) ) )  =>  (v4_pcs_0(k17_pcs_0(A, B)) & v12_pcs_0(k17_pcs_0(A, B))) ) ) ).
fof(fc41_pcs_0, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v11_pcs_0(B) & v16_pcs_0(B)) ) ) ) )  =>  (v6_pcs_0(k17_pcs_0(A, B)) & v12_pcs_0(k17_pcs_0(A, B))) ) ) ).
fof(fc42_pcs_0, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v17_pcs_0(B) & v20_pcs_0(B)) ) ) ) )  =>  (v4_orders_2(k17_pcs_0(A, B)) &  (v12_pcs_0(k17_pcs_0(A, B)) & v13_pcs_0(k17_pcs_0(A, B))) ) ) ) ).
fof(fc43_pcs_0, axiom,  (! [A, B] :  ( (l1_struct_0(A) & l1_struct_0(B))  =>  (v1_relat_1(k18_pcs_0(A, B)) &  (v4_relat_1(k18_pcs_0(A, B), k7_domain_1(k4_ordinal1, k5_numbers, 1)) &  (v1_funct_1(k18_pcs_0(A, B)) &  (v1_partfun1(k18_pcs_0(A, B), k7_domain_1(k4_ordinal1, k5_numbers, 1)) & v2_pralg_1(k18_pcs_0(A, B))) ) ) ) ) ) ).
fof(fc44_pcs_0, axiom,  (! [A, B] :  ( (l1_orders_2(A) & l1_orders_2(B))  =>  (v1_relat_1(k18_pcs_0(A, B)) &  (v4_relat_1(k18_pcs_0(A, B), k7_domain_1(k4_ordinal1, k5_numbers, 1)) &  (v1_funct_1(k18_pcs_0(A, B)) &  (v1_partfun1(k18_pcs_0(A, B), k7_domain_1(k4_ordinal1, k5_numbers, 1)) & v1_yellow_1(k18_pcs_0(A, B))) ) ) ) ) ) ).
fof(fc45_pcs_0, axiom,  (! [A, B] :  ( (l1_pcs_0(A) & l1_pcs_0(B))  =>  (v1_relat_1(k18_pcs_0(A, B)) &  (v4_relat_1(k18_pcs_0(A, B), k7_domain_1(k4_ordinal1, k5_numbers, 1)) &  (v1_funct_1(k18_pcs_0(A, B)) &  (v1_partfun1(k18_pcs_0(A, B), k7_domain_1(k4_ordinal1, k5_numbers, 1)) & v7_pcs_0(k18_pcs_0(A, B))) ) ) ) ) ) ).
fof(fc46_pcs_0, axiom,  (! [A, B] :  ( (l2_pcs_0(A) & l2_pcs_0(B))  =>  (v1_relat_1(k18_pcs_0(A, B)) &  (v4_relat_1(k18_pcs_0(A, B), k7_domain_1(k4_ordinal1, k5_numbers, 1)) &  (v1_funct_1(k18_pcs_0(A, B)) &  (v1_partfun1(k18_pcs_0(A, B), k7_domain_1(k4_ordinal1, k5_numbers, 1)) & v16_pcs_0(k18_pcs_0(A, B))) ) ) ) ) ) ).
fof(fc47_pcs_0, axiom,  (! [A, B] :  ( ( (v3_orders_2(A) & l2_pcs_0(A))  &  (v3_orders_2(B) & l2_pcs_0(B)) )  =>  (v1_relat_1(k18_pcs_0(A, B)) &  (v4_relat_1(k18_pcs_0(A, B), k7_domain_1(k4_ordinal1, k5_numbers, 1)) &  (v1_funct_1(k18_pcs_0(A, B)) &  (v1_partfun1(k18_pcs_0(A, B), k7_domain_1(k4_ordinal1, k5_numbers, 1)) & v5_waybel_3(k18_pcs_0(A, B))) ) ) ) ) ) ).
fof(fc48_pcs_0, axiom,  (! [A, B] :  ( ( (v4_orders_2(A) & l2_pcs_0(A))  &  (v4_orders_2(B) & l2_pcs_0(B)) )  =>  (v1_relat_1(k18_pcs_0(A, B)) &  (v4_relat_1(k18_pcs_0(A, B), k7_domain_1(k4_ordinal1, k5_numbers, 1)) &  (v1_funct_1(k18_pcs_0(A, B)) &  (v1_partfun1(k18_pcs_0(A, B), k7_domain_1(k4_ordinal1, k5_numbers, 1)) & v1_pcs_0(k18_pcs_0(A, B))) ) ) ) ) ) ).
fof(fc49_pcs_0, axiom,  (! [A, B] :  ( ( (v4_pcs_0(A) & l2_pcs_0(A))  &  (v4_pcs_0(B) & l2_pcs_0(B)) )  =>  (v1_relat_1(k18_pcs_0(A, B)) &  (v4_relat_1(k18_pcs_0(A, B), k7_domain_1(k4_ordinal1, k5_numbers, 1)) &  (v1_funct_1(k18_pcs_0(A, B)) &  (v1_partfun1(k18_pcs_0(A, B), k7_domain_1(k4_ordinal1, k5_numbers, 1)) & v9_pcs_0(k18_pcs_0(A, B))) ) ) ) ) ) ).
fof(fc50_pcs_0, axiom,  (! [A, B] :  ( ( (v6_pcs_0(A) & l2_pcs_0(A))  &  (v6_pcs_0(B) & l2_pcs_0(B)) )  =>  (v1_relat_1(k18_pcs_0(A, B)) &  (v4_relat_1(k18_pcs_0(A, B), k7_domain_1(k4_ordinal1, k5_numbers, 1)) &  (v1_funct_1(k18_pcs_0(A, B)) &  (v1_partfun1(k18_pcs_0(A, B), k7_domain_1(k4_ordinal1, k5_numbers, 1)) & v11_pcs_0(k18_pcs_0(A, B))) ) ) ) ) ) ).
fof(fc51_pcs_0, axiom,  (! [A, B] :  ( ( (v14_pcs_0(A) & l2_pcs_0(A))  &  (v14_pcs_0(B) & l2_pcs_0(B)) )  =>  (v1_relat_1(k18_pcs_0(A, B)) &  (v4_relat_1(k18_pcs_0(A, B), k7_domain_1(k4_ordinal1, k5_numbers, 1)) &  (v1_funct_1(k18_pcs_0(A, B)) &  (v1_partfun1(k18_pcs_0(A, B), k7_domain_1(k4_ordinal1, k5_numbers, 1)) & v17_pcs_0(k18_pcs_0(A, B))) ) ) ) ) ) ).
fof(fc52_pcs_0, axiom,  (! [A, B] :  ( ( (v3_orders_2(A) & l2_pcs_0(A))  &  (v3_orders_2(B) & l2_pcs_0(B)) )  => v3_orders_2(k19_pcs_0(A, B))) ) ).
fof(fc53_pcs_0, axiom,  (! [A, B] :  ( ( (v4_pcs_0(A) & l2_pcs_0(A))  &  (v4_pcs_0(B) & l2_pcs_0(B)) )  => v4_pcs_0(k19_pcs_0(A, B))) ) ).
fof(fc54_pcs_0, axiom,  (! [A, B] :  ( ( (v6_pcs_0(A) & l2_pcs_0(A))  &  (v6_pcs_0(B) & l2_pcs_0(B)) )  => v6_pcs_0(k19_pcs_0(A, B))) ) ).
fof(fc55_pcs_0, axiom,  (! [A, B] :  (l2_pcs_0(A) =>  ( ~ (v2_struct_0(k20_pcs_0(A, B)))  & v12_pcs_0(k20_pcs_0(A, B))) ) ) ).
fof(fc56_pcs_0, axiom,  (! [A, B] :  ( (v3_orders_2(A) & l2_pcs_0(A))  =>  (v3_orders_2(k20_pcs_0(A, B)) & v12_pcs_0(k20_pcs_0(A, B))) ) ) ).
fof(fc57_pcs_0, axiom,  (! [A, B] :  ( (v4_pcs_0(A) & l2_pcs_0(A))  =>  (v4_pcs_0(k20_pcs_0(A, B)) & v12_pcs_0(k20_pcs_0(A, B))) ) ) ).
fof(fc58_pcs_0, axiom,  (! [A, B] :  ( (v6_pcs_0(A) & l2_pcs_0(A))  =>  (v6_pcs_0(k20_pcs_0(A, B)) & v12_pcs_0(k20_pcs_0(A, B))) ) ) ).
fof(fc59_pcs_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_pcs_0(A))  =>  ( ~ (v2_struct_0(k21_pcs_0(A)))  & v12_pcs_0(k21_pcs_0(A))) ) ) ).
fof(fc60_pcs_0, axiom,  (! [A] :  ( (v3_orders_2(A) & l2_pcs_0(A))  =>  (v3_orders_2(k21_pcs_0(A)) & v12_pcs_0(k21_pcs_0(A))) ) ) ).
fof(fc61_pcs_0, axiom,  (! [A] :  ( (v4_orders_2(A) & l2_pcs_0(A))  =>  (v4_orders_2(k21_pcs_0(A)) & v12_pcs_0(k21_pcs_0(A))) ) ) ).
fof(fc62_pcs_0, axiom,  (! [A] :  ( (v4_pcs_0(A) & l2_pcs_0(A))  =>  (v5_pcs_0(k21_pcs_0(A)) & v12_pcs_0(k21_pcs_0(A))) ) ) ).
fof(fc63_pcs_0, axiom,  (! [A] :  ( (v5_pcs_0(A) & l2_pcs_0(A))  =>  (v4_pcs_0(k21_pcs_0(A)) & v12_pcs_0(k21_pcs_0(A))) ) ) ).
fof(fc64_pcs_0, axiom,  (! [A] :  ( (v6_pcs_0(A) & l2_pcs_0(A))  =>  (v6_pcs_0(k21_pcs_0(A)) & v12_pcs_0(k21_pcs_0(A))) ) ) ).
fof(fc65_pcs_0, axiom,  (! [A] :  ( (v13_pcs_0(A) & l2_pcs_0(A))  =>  (v12_pcs_0(k21_pcs_0(A)) & v13_pcs_0(k21_pcs_0(A))) ) ) ).
fof(fc66_pcs_0, axiom,  (! [A, B] :  ( (l2_pcs_0(A) & l2_pcs_0(B))  => v12_pcs_0(k22_pcs_0(A, B))) ) ).
fof(fc67_pcs_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_pcs_0(A))  &  ( ~ (v2_struct_0(B))  & l2_pcs_0(B)) )  =>  ~ (v2_struct_0(k22_pcs_0(A, B))) ) ) ).
fof(fc68_pcs_0, axiom,  (! [A, B] :  ( ( (v3_orders_2(A) & l2_pcs_0(A))  &  (v3_orders_2(B) & l2_pcs_0(B)) )  => v3_orders_2(k22_pcs_0(A, B))) ) ).
fof(fc69_pcs_0, axiom,  (! [A, B] :  ( ( (v4_orders_2(A) & l2_pcs_0(A))  &  (v4_orders_2(B) & l2_pcs_0(B)) )  => v4_orders_2(k22_pcs_0(A, B))) ) ).
fof(fc70_pcs_0, axiom,  (! [A, B] :  ( (l2_pcs_0(A) &  (v4_pcs_0(B) & l2_pcs_0(B)) )  => v4_pcs_0(k22_pcs_0(A, B))) ) ).
fof(fc71_pcs_0, axiom,  (! [A, B] :  ( ( (v4_pcs_0(A) & l2_pcs_0(A))  & l2_pcs_0(B))  => v4_pcs_0(k22_pcs_0(A, B))) ) ).
fof(fc72_pcs_0, axiom,  (! [A, B] :  ( ( (v6_pcs_0(A) & l2_pcs_0(A))  &  (v6_pcs_0(B) & l2_pcs_0(B)) )  => v6_pcs_0(k22_pcs_0(A, B))) ) ).
fof(fc73_pcs_0, axiom,  (! [A, B] :  ( ( (v13_pcs_0(A) & l2_pcs_0(A))  &  (v13_pcs_0(B) & l2_pcs_0(B)) )  => v13_pcs_0(k22_pcs_0(A, B))) ) ).
fof(fc74_pcs_0, axiom,  (! [A, B] :  ( (l2_pcs_0(A) & l2_pcs_0(B))  => v12_pcs_0(k23_pcs_0(A, B))) ) ).
fof(fc75_pcs_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_pcs_0(A))  &  ( ~ (v2_struct_0(B))  & l2_pcs_0(B)) )  =>  ~ (v2_struct_0(k23_pcs_0(A, B))) ) ) ).
fof(fc76_pcs_0, axiom,  (! [A, B] :  ( ( (v3_orders_2(A) & l2_pcs_0(A))  &  (v3_orders_2(B) & l2_pcs_0(B)) )  => v3_orders_2(k23_pcs_0(A, B))) ) ).
fof(fc77_pcs_0, axiom,  (! [A, B] :  ( ( (v4_orders_2(A) & l2_pcs_0(A))  &  (v4_orders_2(B) & l2_pcs_0(B)) )  => v4_orders_2(k23_pcs_0(A, B))) ) ).
fof(fc78_pcs_0, axiom,  (! [A, B] :  ( (l2_pcs_0(A) &  (v4_pcs_0(B) & l2_pcs_0(B)) )  => v4_pcs_0(k23_pcs_0(A, B))) ) ).
fof(fc79_pcs_0, axiom,  (! [A, B] :  ( ( (v5_pcs_0(A) & l2_pcs_0(A))  & l2_pcs_0(B))  => v4_pcs_0(k23_pcs_0(A, B))) ) ).
fof(fc80_pcs_0, axiom,  (! [A, B] :  ( ( (v6_pcs_0(A) & l2_pcs_0(A))  &  (v6_pcs_0(B) & l2_pcs_0(B)) )  => v6_pcs_0(k23_pcs_0(A, B))) ) ).
fof(fc81_pcs_0, axiom,  (! [A, B] :  ( ( (v13_pcs_0(A) & l2_pcs_0(A))  &  (v13_pcs_0(B) & l2_pcs_0(B)) )  => v13_pcs_0(k23_pcs_0(A, B))) ) ).
fof(fc82_pcs_0, axiom,  (! [A, B] :  ( ( (v14_pcs_0(A) & l2_pcs_0(A))  &  (v14_pcs_0(B) & l2_pcs_0(B)) )  => v14_pcs_0(k23_pcs_0(A, B))) ) ).
fof(cc14_pcs_0, axiom,  (! [A] :  (l1_pcs_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_xboole_0(B) => v21_pcs_0(B, A)) ) ) ) ) ).
fof(rc16_pcs_0, axiom,  (! [A] :  (l1_pcs_0(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) &  ( ~ (v1_xboole_0(B))  & v22_pcs_0(B, A)) ) ) ) ) ).
fof(fc83_pcs_0, axiom,  (! [A, B] :  ( (l2_pcs_0(A) &  ~ (v1_xboole_0(B)) )  =>  ~ (v2_struct_0(k26_pcs_0(A, B))) ) ) ).
fof(fc84_pcs_0, axiom,  (! [A, B] :  (l2_pcs_0(A) => v12_pcs_0(k26_pcs_0(A, B))) ) ).
fof(fc85_pcs_0, axiom,  (! [A, B] :  ( ( (v3_orders_2(A) & l2_pcs_0(A))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))  => v3_orders_2(k26_pcs_0(A, B))) ) ).
fof(fc86_pcs_0, axiom,  (! [A, B] :  ( (v4_orders_2(A) & l2_pcs_0(A))  => v4_orders_2(k26_pcs_0(A, B))) ) ).
fof(fc87_pcs_0, axiom,  (! [A, B] :  ( ( (v4_pcs_0(A) & l2_pcs_0(A))  &  (v22_pcs_0(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) )  => v4_pcs_0(k26_pcs_0(A, B))) ) ).
fof(fc88_pcs_0, axiom,  (! [A, B] :  ( ( (v6_pcs_0(A) & l2_pcs_0(A))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))  => v6_pcs_0(k26_pcs_0(A, B))) ) ).
fof(fc89_pcs_0, axiom,  (! [A, B] :  ( ( (v13_pcs_0(A) & l2_pcs_0(A))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))  => v13_pcs_0(k26_pcs_0(A, B))) ) ).
fof(rc17_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v21_pcs_0(B, A)) ) ) ) ).
fof(fc90_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  ~ (v1_xboole_0(k27_pcs_0(A))) ) ) ).
fof(fc91_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) => v22_pcs_0(k27_pcs_0(A), A)) ) ).
fof(fc92_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) => v12_pcs_0(k29_pcs_0(A))) ) ).
fof(fc93_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  ~ (v2_struct_0(k29_pcs_0(A))) ) ) ).
fof(fc94_pcs_0, axiom,  (! [A] :  ( (v3_orders_2(A) & l2_pcs_0(A))  => v3_orders_2(k29_pcs_0(A))) ) ).
fof(fc95_pcs_0, axiom,  (! [A] :  ( (v4_orders_2(A) & l2_pcs_0(A))  => v4_orders_2(k29_pcs_0(A))) ) ).
fof(fc96_pcs_0, axiom,  (! [A] :  ( (v4_pcs_0(A) & l2_pcs_0(A))  => v4_pcs_0(k29_pcs_0(A))) ) ).
fof(fc97_pcs_0, axiom,  (! [A] :  ( (v6_pcs_0(A) & l2_pcs_0(A))  => v6_pcs_0(k29_pcs_0(A))) ) ).
fof(fc98_pcs_0, axiom,  (! [A] :  ( (v13_pcs_0(A) & l2_pcs_0(A))  => v13_pcs_0(k29_pcs_0(A))) ) ).
fof(fc99_pcs_0, axiom,  (! [A] :  ( (v14_pcs_0(A) & l2_pcs_0(A))  => v14_pcs_0(k29_pcs_0(A))) ) ).
fof(t1_pcs_0, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [D] :  ( (v8_relat_2(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B))))  =>  (r1_xboole_0(A, B) => v8_relat_2(k2_pcs_0(A, A, B, B, C, D))) ) ) ) ) ) ) ).
fof(d1_pcs_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v2_pralg_1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (C=k12_pralg_1(A, B) <=>  (! [D] :  (m1_subset_1(D, A) => k1_funct_1(C, D)=u1_struct_0(k10_pralg_1(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(d2_pcs_0, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, D))) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, C), k2_zfmisc_1(B, D)))) =>  (G=k3_pcs_0(A, B, C, D, E, F) <=>  (! [H] :  (! [I] :  (r2_hidden(k4_tarski(H, I), G) <=>  (? [J] :  (? [K] :  (? [L] :  (? [M] :  (H=k4_tarski(J, K) &  (I=k4_tarski(L, M) &  (r2_tarski(J, A) &  (r2_tarski(K, C) &  (r2_tarski(L, B) &  (r2_tarski(M, D) &  (r2_hidden(k4_tarski(J, L), E) | r2_hidden(k4_tarski(K, M), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_pcs_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, D))) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, C), k2_zfmisc_1(B, D)))) =>  (G=k3_pcs_0(A, B, C, D, E, F) <=>  (! [H] :  (m1_subset_1(H, A) =>  (! [I] :  (m1_subset_1(I, B) =>  (! [J] :  (m1_subset_1(J, C) =>  (! [K] :  (m1_subset_1(K, D) =>  (r2_tarski(k1_domain_1(k2_zfmisc_1(A, C), k2_zfmisc_1(B, D), k1_domain_1(A, C, H, J), k1_domain_1(B, D, I, K)), G) <=>  (r2_tarski(k1_domain_1(A, B, H, I), E) | r2_tarski(k1_domain_1(C, D, J, K), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_pcs_0, axiom,  (! [A] :  (v1_relat_1(A) =>  (v1_pcs_0(A) <=>  (! [B] :  (l1_orders_2(B) =>  (r2_tarski(B, k10_xtuple_0(A)) => v4_orders_2(B)) ) ) ) ) ) ).
fof(d5_pcs_0, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_yellow_1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (C=k4_pcs_0(A, B) <=>  (! [D] :  ~ ( (r2_tarski(D, A) &  (! [E] :  (l1_orders_2(E) =>  ~ ( (E=k1_funct_1(B, D) & k1_funct_1(C, D)=u1_orders_2(E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_pcs_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_yellow_1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (C=k4_pcs_0(A, B) <=>  (! [D] :  (m1_subset_1(D, A) => k1_funct_1(C, D)=u1_orders_2(k3_waybel_3(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(d7_pcs_0, axiom,  (! [A] :  (l1_pcs_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_pcs_0(A, B, C) <=> r2_hidden(k4_tarski(B, C), u1_pcs_0(A))) ) ) ) ) ) ) ).
fof(d8_pcs_0, axiom,  (! [A] :  (l1_pcs_0(A) =>  (v3_pcs_0(A) <=> v1_partfun1(u1_pcs_0(A), u1_struct_0(A))) ) ) ).
fof(d9_pcs_0, axiom,  (! [A] :  (l1_pcs_0(A) =>  (v4_pcs_0(A) <=> r1_relat_2(u1_pcs_0(A), u1_struct_0(A))) ) ) ).
fof(d10_pcs_0, axiom,  (! [A] :  (l1_pcs_0(A) =>  (v5_pcs_0(A) <=> r2_relat_2(u1_pcs_0(A), u1_struct_0(A))) ) ) ).
fof(d11_pcs_0, axiom,  (! [A] :  (l1_pcs_0(A) =>  (v6_pcs_0(A) <=> r3_relat_2(u1_pcs_0(A), u1_struct_0(A))) ) ) ).
fof(d12_pcs_0, axiom, k5_pcs_0=g1_pcs_0(k1_xboole_0, k1_partit_2(k1_xboole_0, k1_xboole_0))).
fof(t2_pcs_0, axiom,  (! [A] :  (l1_pcs_0(A) =>  (v2_struct_0(A) => g1_pcs_0(u1_struct_0(A), u1_pcs_0(A))=k5_pcs_0) ) ) ).
fof(d13_pcs_0, axiom,  (! [A] :  (v1_relat_1(A) =>  (v7_pcs_0(A) <=>  (! [B] :  (r2_tarski(B, k10_xtuple_0(A)) => l1_pcs_0(B)) ) ) ) ) ).
fof(d14_pcs_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v7_pcs_0(A) <=>  (! [B] :  (r2_tarski(B, k9_xtuple_0(A)) => l1_pcs_0(k1_funct_1(A, B))) ) ) ) ) ).
fof(d15_pcs_0, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v7_pcs_0(B) <=>  (! [C] :  (r2_tarski(C, A) => l1_pcs_0(k1_funct_1(B, C))) ) ) ) ) ) ).
fof(d16_pcs_0, axiom,  (! [A] :  (v1_relat_1(A) =>  (v9_pcs_0(A) <=>  (! [B] :  (l1_pcs_0(B) =>  (r2_tarski(B, k10_xtuple_0(A)) => v4_pcs_0(B)) ) ) ) ) ) ).
fof(d17_pcs_0, axiom,  (! [A] :  (v1_relat_1(A) =>  (v10_pcs_0(A) <=>  (! [B] :  (l1_pcs_0(B) =>  (r2_tarski(B, k10_xtuple_0(A)) => v5_pcs_0(B)) ) ) ) ) ) ).
fof(d18_pcs_0, axiom,  (! [A] :  (v1_relat_1(A) =>  (v11_pcs_0(A) <=>  (! [B] :  (l1_pcs_0(B) =>  (r2_tarski(B, k10_xtuple_0(A)) => v6_pcs_0(B)) ) ) ) ) ) ).
fof(d19_pcs_0, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v7_pcs_0(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (C=k7_pcs_0(A, B) <=>  (! [D] :  ~ ( (r2_tarski(D, A) &  (! [E] :  (l1_pcs_0(E) =>  ~ ( (E=k1_funct_1(B, D) & k1_funct_1(C, D)=u1_pcs_0(E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d20_pcs_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v7_pcs_0(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (C=k7_pcs_0(A, B) <=>  (! [D] :  (m1_subset_1(D, A) => k1_funct_1(C, D)=u1_pcs_0(k6_pcs_0(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t3_pcs_0, axiom,  (! [A] :  (l1_pcs_0(A) =>  (! [B] :  (l1_pcs_0(B) =>  ( (g1_pcs_0(u1_struct_0(A), u1_pcs_0(A))=g1_pcs_0(u1_struct_0(B), u1_pcs_0(B)) & v4_pcs_0(A))  => v4_pcs_0(B)) ) ) ) ) ).
fof(t4_pcs_0, axiom,  (! [A] :  (l1_pcs_0(A) =>  (! [B] :  (l1_pcs_0(B) =>  ( (g1_pcs_0(u1_struct_0(A), u1_pcs_0(A))=g1_pcs_0(u1_struct_0(B), u1_pcs_0(B)) & v5_pcs_0(A))  => v5_pcs_0(B)) ) ) ) ) ).
fof(t5_pcs_0, axiom,  (! [A] :  (l1_pcs_0(A) =>  (! [B] :  (l1_pcs_0(B) =>  ( (g1_pcs_0(u1_struct_0(A), u1_pcs_0(A))=g1_pcs_0(u1_struct_0(B), u1_pcs_0(B)) & v6_pcs_0(A))  => v6_pcs_0(B)) ) ) ) ) ).
fof(d21_pcs_0, axiom,  (! [A] :  (l1_pcs_0(A) =>  (! [B] :  (l1_pcs_0(B) => k8_pcs_0(A, B)=g1_pcs_0(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k3_pcs_0(u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_pcs_0(A), u1_pcs_0(B)))) ) ) ) ).
fof(t6_pcs_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pcs_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_pcs_0(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (r1_pcs_0(k8_pcs_0(A, B), k9_pcs_0(A, B, C, E), k9_pcs_0(A, B, D, F)) <=>  (r1_pcs_0(A, C, D) | r1_pcs_0(B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_pcs_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pcs_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_pcs_0(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k8_pcs_0(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k8_pcs_0(A, B))) =>  (r1_pcs_0(k8_pcs_0(A, B), C, D) <=>  (r1_pcs_0(A, k10_pcs_0(A, B, C), k10_pcs_0(A, B, D)) | r1_pcs_0(B, k11_pcs_0(A, B, C), k11_pcs_0(A, B, D))) ) ) ) ) ) ) ) ) ) ).
fof(d22_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (v13_pcs_0(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_pcs_0(A, B, D) &  (r1_orders_2(A, C, B) & r1_orders_2(A, E, D)) )  => r1_pcs_0(A, C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d23_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (v14_pcs_0(A) <=>  (v3_orders_2(A) &  (v4_orders_2(A) &  (v4_pcs_0(A) &  (v6_pcs_0(A) & v13_pcs_0(A)) ) ) ) ) ) ) ).
fof(d24_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (v15_pcs_0(A) <=>  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_pcs_0(A) &  (v6_pcs_0(A) & v13_pcs_0(A)) ) ) ) ) ) ) ).
fof(d25_pcs_0, axiom,  (! [A] : k12_pcs_0(A)=g2_pcs_0(A, k1_eqrel_1(A), k1_eqrel_1(A))) ).
fof(d26_pcs_0, axiom, k13_pcs_0=k12_pcs_0(k5_numbers)).
fof(d27_pcs_0, axiom,  (! [A] : k14_pcs_0(A)=k12_pcs_0(k1_tarski(A))) ).
fof(d28_pcs_0, axiom,  (! [A] :  (v1_relat_1(A) =>  (v16_pcs_0(A) <=>  (! [B] :  (r2_tarski(B, k10_xtuple_0(A)) => l2_pcs_0(B)) ) ) ) ) ).
fof(d29_pcs_0, axiom,  (! [A] :  (v1_relat_1(A) =>  (v17_pcs_0(A) <=>  (! [B] :  (r2_tarski(B, k10_xtuple_0(A)) =>  (v14_pcs_0(B) & l2_pcs_0(B)) ) ) ) ) ) ).
fof(d30_pcs_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v16_pcs_0(A) <=>  (! [B] :  (r2_tarski(B, k9_xtuple_0(A)) => l2_pcs_0(k1_funct_1(A, B))) ) ) ) ) ).
fof(d31_pcs_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v17_pcs_0(A) <=>  (! [B] :  (r2_tarski(B, k9_xtuple_0(A)) =>  (v14_pcs_0(k1_funct_1(A, B)) & l2_pcs_0(k1_funct_1(A, B))) ) ) ) ) ) ).
fof(d32_pcs_0, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v16_pcs_0(B) <=>  (! [C] :  (r2_tarski(C, A) => l2_pcs_0(k1_funct_1(B, C))) ) ) ) ) ) ).
fof(d33_pcs_0, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v17_pcs_0(B) <=>  (! [C] :  (r2_tarski(C, A) =>  (v14_pcs_0(k1_funct_1(B, C)) & l2_pcs_0(k1_funct_1(B, C))) ) ) ) ) ) ) ).
fof(d34_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (! [B] :  (l2_pcs_0(B) =>  (r3_pcs_0(A, B) <=>  (r1_tarski(u1_struct_0(A), u1_struct_0(B)) &  (r1_relset_1(u1_struct_0(A), u1_struct_0(A), u1_orders_2(A), u1_orders_2(B)) & r1_relset_1(u1_struct_0(A), u1_struct_0(A), u1_pcs_0(A), u1_pcs_0(B))) ) ) ) ) ) ) ).
fof(t8_pcs_0, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (l1_orders_2(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( (r1_relset_1(u1_struct_0(A), u1_struct_0(A), u1_orders_2(A), u1_orders_2(B)) &  (C=E &  (D=F & r1_orders_2(A, C, D)) ) )  => r1_orders_2(B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_pcs_0, axiom,  (! [A] :  (l1_pcs_0(A) =>  (! [B] :  (l1_pcs_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( (r1_relset_1(u1_struct_0(A), u1_struct_0(A), u1_pcs_0(A), u1_pcs_0(B)) &  (C=E &  (D=F & r1_pcs_0(A, C, D)) ) )  => r1_pcs_0(B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d35_pcs_0, axiom,  (! [A] :  (v1_relat_1(A) =>  (v20_pcs_0(A) <=>  (! [B] :  (l2_pcs_0(B) =>  (! [C] :  (l2_pcs_0(C) =>  ~ ( (r2_tarski(B, k10_xtuple_0(A)) &  (r2_tarski(C, k10_xtuple_0(A)) &  ( ~ (r3_pcs_0(B, C))  &  ~ (r3_pcs_0(C, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d36_pcs_0, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v16_pcs_0(B)) ) ) )  =>  (! [C] :  ( (v12_pcs_0(C) & l2_pcs_0(C))  =>  (C=k17_pcs_0(A, B) <=>  (u1_struct_0(C)=k3_card_3(k12_pralg_1(A, B)) &  (u1_orders_2(C)=k3_card_3(k4_pcs_0(A, B)) & u1_pcs_0(C)=k3_card_3(k7_pcs_0(A, B))) ) ) ) ) ) ) ) ).
fof(t10_pcs_0, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v16_pcs_0(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k17_pcs_0(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k17_pcs_0(A, B))) =>  (r1_orders_2(k17_pcs_0(A, B), C, D) <=>  (? [E] :  (? [F] :  (l2_pcs_0(F) &  (? [G] :  (m1_subset_1(G, u1_struct_0(F)) &  (? [H] :  (m1_subset_1(H, u1_struct_0(F)) &  (r2_hidden(E, A) &  (F=k1_funct_1(B, E) &  (G=C &  (H=D & r1_orders_2(F, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_pcs_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v16_pcs_0(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k17_pcs_0(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k17_pcs_0(A, B))) =>  (r1_orders_2(k17_pcs_0(A, B), C, D) <=>  (? [E] :  (m1_subset_1(E, A) &  (? [F] :  (m1_subset_1(F, u1_struct_0(k15_pcs_0(A, B, E))) &  (? [G] :  (m1_subset_1(G, u1_struct_0(k15_pcs_0(A, B, E))) &  (F=C &  (G=D & r1_orders_2(k15_pcs_0(A, B, E), F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_pcs_0, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v16_pcs_0(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k17_pcs_0(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k17_pcs_0(A, B))) =>  (r1_pcs_0(k17_pcs_0(A, B), C, D) <=>  (? [E] :  (? [F] :  (l2_pcs_0(F) &  (? [G] :  (m1_subset_1(G, u1_struct_0(F)) &  (? [H] :  (m1_subset_1(H, u1_struct_0(F)) &  (r2_hidden(E, A) &  (F=k1_funct_1(B, E) &  (G=C &  (H=D & r1_pcs_0(F, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_pcs_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v16_pcs_0(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k17_pcs_0(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k17_pcs_0(A, B))) =>  (r1_pcs_0(k17_pcs_0(A, B), C, D) <=>  (? [E] :  (m1_subset_1(E, A) &  (? [F] :  (m1_subset_1(F, u1_struct_0(k15_pcs_0(A, B, E))) &  (? [G] :  (m1_subset_1(G, u1_struct_0(k15_pcs_0(A, B, E))) &  (F=C &  (G=D & r1_pcs_0(k15_pcs_0(A, B, E), F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d37_pcs_0, axiom,  (! [A] :  (! [B] : k18_pcs_0(A, B)=k6_afinsq_1(A, B)) ) ).
fof(d39_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (! [B] :  (l2_pcs_0(B) => k19_pcs_0(A, B)=k17_pcs_0(k7_domain_1(k4_ordinal1, k5_numbers, 1), k18_pcs_0(A, B))) ) ) ) ).
fof(t14_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (! [B] :  (l2_pcs_0(B) =>  (u1_struct_0(k19_pcs_0(A, B))=k2_xboole_0(u1_struct_0(A), u1_struct_0(B)) &  (u1_orders_2(k19_pcs_0(A, B))=k2_pcs_0(u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_orders_2(A), u1_orders_2(B)) & u1_pcs_0(k19_pcs_0(A, B))=k2_pcs_0(u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_pcs_0(A), u1_pcs_0(B))) ) ) ) ) ) ).
fof(t15_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (! [B] :  (l2_pcs_0(B) => k19_pcs_0(A, B)=g2_pcs_0(k2_xboole_0(u1_struct_0(A), u1_struct_0(B)), k2_pcs_0(u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_orders_2(A), u1_orders_2(B)), k2_pcs_0(u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_pcs_0(A), u1_pcs_0(B)))) ) ) ) ).
fof(t16_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (! [B] :  (l2_pcs_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k19_pcs_0(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k19_pcs_0(A, B))) =>  (r1_orders_2(k19_pcs_0(A, B), C, D) <=>  ~ ( ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (E=C &  (F=D & r1_orders_2(A, E, F)) ) ) ) ) ) )  &  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ~ ( (E=C &  (F=D & r1_orders_2(B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (! [B] :  (l2_pcs_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k19_pcs_0(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k19_pcs_0(A, B))) =>  (r1_pcs_0(k19_pcs_0(A, B), C, D) <=>  ~ ( ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (E=C &  (F=D & r1_pcs_0(A, E, F)) ) ) ) ) ) )  &  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ~ ( (E=C &  (F=D & r1_pcs_0(B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_pcs_0, axiom,  (! [A] :  ( (v14_pcs_0(A) & l2_pcs_0(A))  =>  (! [B] :  ( (v14_pcs_0(B) & l2_pcs_0(B))  =>  (r1_tsep_1(A, B) => v8_relat_2(u1_orders_2(k19_pcs_0(A, B)))) ) ) ) ) ).
fof(t19_pcs_0, axiom,  (! [A] :  ( (v14_pcs_0(A) & l2_pcs_0(A))  =>  (! [B] :  ( (v14_pcs_0(B) & l2_pcs_0(B))  =>  (r1_tsep_1(A, B) => v13_pcs_0(k19_pcs_0(A, B))) ) ) ) ) ).
fof(t20_pcs_0, axiom,  (! [A] :  ( (v14_pcs_0(A) & l2_pcs_0(A))  =>  (! [B] :  ( (v14_pcs_0(B) & l2_pcs_0(B))  =>  (r1_tsep_1(A, B) =>  (v14_pcs_0(k19_pcs_0(A, B)) & l2_pcs_0(k19_pcs_0(A, B))) ) ) ) ) ) ).
fof(d40_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (! [B] :  (! [C] :  ( (v12_pcs_0(C) & l2_pcs_0(C))  =>  (C=k20_pcs_0(A, B) <=>  (u1_struct_0(C)=k2_xboole_0(k1_tarski(B), u1_struct_0(A)) &  (u1_orders_2(C)=k2_xboole_0(k2_zfmisc_1(k1_tarski(B), u1_struct_0(C)), u1_orders_2(A)) & u1_pcs_0(C)=k2_xboole_0(k2_xboole_0(k2_zfmisc_1(k1_tarski(B), u1_struct_0(C)), k2_zfmisc_1(u1_struct_0(C), k1_tarski(B))), u1_pcs_0(A))) ) ) ) ) ) ) ) ).
fof(t21_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (! [B] :  (r1_tarski(u1_struct_0(A), u1_struct_0(k20_pcs_0(A, B))) &  (r1_relset_1(u1_struct_0(A), u1_struct_0(A), u1_orders_2(A), u1_orders_2(k20_pcs_0(A, B))) & r1_relset_1(u1_struct_0(A), u1_struct_0(A), u1_pcs_0(A), u1_pcs_0(k20_pcs_0(A, B)))) ) ) ) ) ).
fof(t22_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(k20_pcs_0(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k20_pcs_0(A, B))) =>  (C=B => r1_orders_2(k20_pcs_0(A, B), C, D)) ) ) ) ) ) ) ) ).
fof(t23_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k20_pcs_0(A, B))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k20_pcs_0(A, B))) =>  ( (C=E &  (D=F & r1_orders_2(A, C, D)) )  => r1_orders_2(k20_pcs_0(A, B), E, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k20_pcs_0(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k20_pcs_0(A, B))) =>  ( (C=D & r1_orders_2(k20_pcs_0(A, B), D, E))  =>  (C=B |  (r2_tarski(B, u1_struct_0(A)) |  (r2_tarski(E, u1_struct_0(A)) &  ~ (E=B) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(k20_pcs_0(A, B))) =>  ( ~ (C=B)  => r2_tarski(C, u1_struct_0(A))) ) ) ) ) ) ).
fof(t26_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k20_pcs_0(A, B))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k20_pcs_0(A, B))) =>  ( (C=E &  (D=F & r1_orders_2(k20_pcs_0(A, B), E, F)) )  =>  (C=B | r1_orders_2(A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(k20_pcs_0(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k20_pcs_0(A, B))) =>  (C=B =>  (r1_pcs_0(k20_pcs_0(A, B), C, D) & r1_pcs_0(k20_pcs_0(A, B), D, C)) ) ) ) ) ) ) ) ) ).
fof(t28_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k20_pcs_0(A, B))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k20_pcs_0(A, B))) =>  ( (C=E &  (D=F & r1_pcs_0(A, C, D)) )  => r1_pcs_0(k20_pcs_0(A, B), E, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k20_pcs_0(A, B))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k20_pcs_0(A, B))) =>  ( (C=E &  (D=F & r1_pcs_0(k20_pcs_0(A, B), E, F)) )  =>  (C=B |  (D=B | r1_pcs_0(A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_pcs_0, axiom,  (! [A] :  ( (v4_orders_2(A) & l2_pcs_0(A))  =>  (! [B] :  ( ~ (r2_tarski(B, u1_struct_0(A)))  => v4_orders_2(k20_pcs_0(A, B))) ) ) ) ).
fof(t31_pcs_0, axiom,  (! [A] :  ( (v13_pcs_0(A) & l2_pcs_0(A))  =>  (! [B] :  ( ~ (r2_tarski(B, u1_struct_0(A)))  => v13_pcs_0(k20_pcs_0(A, B))) ) ) ) ).
fof(t32_pcs_0, axiom,  (! [A] :  ( (v14_pcs_0(A) & l2_pcs_0(A))  =>  (! [B] :  ( ~ (r2_tarski(B, u1_struct_0(A)))  =>  (v14_pcs_0(k20_pcs_0(A, B)) & l2_pcs_0(k20_pcs_0(A, B))) ) ) ) ) ).
fof(d41_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (! [B] :  ( (v12_pcs_0(B) & l2_pcs_0(B))  =>  (B=k21_pcs_0(A) <=>  (u1_struct_0(B)=u1_struct_0(A) &  (u1_orders_2(B)=k3_relset_1(u1_struct_0(A), u1_struct_0(A), u1_orders_2(A)) & u1_pcs_0(B)=k3_subset_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_pcs_0(A))) ) ) ) ) ) ) ).
fof(t33_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k21_pcs_0(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k21_pcs_0(A))) =>  ( (B=D & C=E)  =>  (r1_orders_2(A, B, C) <=> r1_orders_2(k21_pcs_0(A), E, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k21_pcs_0(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k21_pcs_0(A))) =>  ~ ( (B=D &  (C=E &  (r1_pcs_0(A, B, C) & r1_pcs_0(k21_pcs_0(A), D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_pcs_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_pcs_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k21_pcs_0(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k21_pcs_0(A))) =>  ( (B=D & C=E)  =>  (r1_pcs_0(k21_pcs_0(A), D, E) | r1_pcs_0(A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d42_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (! [B] :  (l2_pcs_0(B) => k22_pcs_0(A, B)=g2_pcs_0(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k2_yellow_3(u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_orders_2(A), u1_orders_2(B)), k3_pcs_0(u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_pcs_0(A), u1_pcs_0(B)))) ) ) ) ).
fof(t36_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (! [B] :  (l2_pcs_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k22_pcs_0(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k22_pcs_0(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  ( (C=k4_tarski(E, G) & D=k4_tarski(F, H))  =>  (r1_orders_2(k22_pcs_0(A, B), C, D) <=>  (r1_orders_2(A, E, F) & r1_orders_2(B, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (! [B] :  (l2_pcs_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k22_pcs_0(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k22_pcs_0(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  ~ ( (C=k4_tarski(E, G) &  (D=k4_tarski(F, H) &  (r1_pcs_0(k22_pcs_0(A, B), C, D) &  ( ~ (r1_pcs_0(A, E, F))  &  ~ (r1_pcs_0(B, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_pcs_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_pcs_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_pcs_0(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k22_pcs_0(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k22_pcs_0(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  ( (C=k7_yellow_3(A, B, E, G) & D=k7_yellow_3(A, B, F, H))  =>  ( ( ~ (r1_pcs_0(A, E, F))  &  ~ (r1_pcs_0(B, G, H)) )  | r1_pcs_0(k22_pcs_0(A, B), C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d43_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (! [B] :  (l2_pcs_0(B) => k23_pcs_0(A, B)=k22_pcs_0(k21_pcs_0(A), B)) ) ) ) ).
fof(t39_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (! [B] :  (l2_pcs_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k23_pcs_0(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k23_pcs_0(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  ( (C=k4_tarski(E, G) & D=k4_tarski(F, H))  =>  (r1_orders_2(k23_pcs_0(A, B), C, D) <=>  (r1_orders_2(A, F, E) & r1_orders_2(B, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (! [B] :  (l2_pcs_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k23_pcs_0(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k23_pcs_0(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  ~ ( (C=k4_tarski(E, G) &  (D=k4_tarski(F, H) &  (r1_pcs_0(k23_pcs_0(A, B), C, D) &  (r1_pcs_0(A, E, F) &  ~ (r1_pcs_0(B, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_pcs_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_pcs_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_pcs_0(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k23_pcs_0(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k23_pcs_0(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  ( (C=k7_yellow_3(A, B, E, G) & D=k7_yellow_3(A, B, F, H))  =>  ( (r1_pcs_0(A, E, F) &  ~ (r1_pcs_0(B, G, H)) )  | r1_pcs_0(k23_pcs_0(A, B), C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d44_pcs_0, axiom,  (! [A] :  (l1_pcs_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v21_pcs_0(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r1_pcs_0(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(d45_pcs_0, axiom,  (! [A] :  (l1_pcs_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (v22_pcs_0(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(C, B) => v21_pcs_0(C, A)) ) ) ) ) ) ) ) ).
fof(d46_pcs_0, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B))) =>  (C=k24_pcs_0(A, B) <=>  (! [D] :  (! [E] :  (r2_hidden(k4_tarski(D, E), C) <=>  (r2_tarski(D, B) &  (r2_tarski(E, B) &  (! [F] :  ~ ( (r2_tarski(F, D) &  (! [G] :  ~ ( (r2_tarski(G, E) & r2_hidden(k4_tarski(F, G), u1_orders_2(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d47_pcs_0, axiom,  (! [A] :  (l1_pcs_0(A) =>  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B))) =>  (C=k25_pcs_0(A, B) <=>  (! [D] :  (! [E] :  (r2_hidden(k4_tarski(D, E), C) <=>  (r2_tarski(D, B) &  (r2_tarski(E, B) &  (! [F] :  (! [G] :  ( (r2_tarski(F, D) & r2_tarski(G, E))  => r2_hidden(k4_tarski(F, G), u1_pcs_0(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_pcs_0, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (! [C] :  (! [D] :  (r2_hidden(k4_tarski(C, D), k24_pcs_0(A, B)) <=>  (r2_tarski(C, B) &  (r2_tarski(D, B) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_tarski(E, C) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r2_tarski(F, D) & r1_orders_2(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_pcs_0, axiom,  (! [A] :  (l1_pcs_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (! [C] :  (! [D] :  (r2_hidden(k4_tarski(C, D), k25_pcs_0(A, B)) <=>  (r2_tarski(C, B) &  (r2_tarski(D, B) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_tarski(E, C) & r2_tarski(F, D))  => r1_pcs_0(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d48_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (! [B] : k26_pcs_0(A, B)=g2_pcs_0(B, k24_pcs_0(A, B), k25_pcs_0(A, B))) ) ) ).
fof(t44_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(k26_pcs_0(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k26_pcs_0(A, B))) =>  (r1_orders_2(k26_pcs_0(A, B), C, D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_tarski(E, C) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r2_tarski(F, D) & r1_orders_2(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k26_pcs_0(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k26_pcs_0(A, B))) =>  ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_tarski(E, C) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r2_tarski(F, D) & r1_orders_2(A, E, F)) ) ) ) ) ) ) )  => r1_orders_2(k26_pcs_0(A, B), C, D)) ) ) ) ) ) ) ) ) ).
fof(t46_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(k26_pcs_0(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k26_pcs_0(A, B))) =>  (r1_pcs_0(k26_pcs_0(A, B), C, D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_tarski(E, C) & r2_tarski(F, D))  => r1_pcs_0(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k26_pcs_0(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k26_pcs_0(A, B))) =>  ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_tarski(E, C) & r2_tarski(F, D))  => r1_pcs_0(A, E, F)) ) ) ) )  => r1_pcs_0(k26_pcs_0(A, B), C, D)) ) ) ) ) ) ) ) ) ).
fof(t48_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (! [B] :  (r2_tarski(B, k27_pcs_0(A)) =>  (v21_pcs_0(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ).
fof(d50_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) => k29_pcs_0(A)=k26_pcs_0(A, k28_pcs_0(A))) ) ).
fof(dt_k1_pcs_0, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => m1_subset_1(k1_pcs_0(A, B, C), k1_zfmisc_1(k2_xboole_0(A, B)))) ) ).
fof(redefinition_k1_pcs_0, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => k1_pcs_0(A, B, C)=k1_relat_1(C)) ) ).
fof(dt_k2_pcs_0, axiom,  (! [A, B, C, D, E, F] :  ( (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, D))))  => m1_subset_1(k2_pcs_0(A, B, C, D, E, F), k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(A, C), k2_xboole_0(B, D))))) ) ).
fof(commutativity_k2_pcs_0, axiom,  (! [A, B, C, D, E, F] :  ( (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, D))))  => k2_pcs_0(A, B, C, D, E, F)=k2_pcs_0(A, B, C, D, F, E)) ) ).
fof(idempotence_k2_pcs_0, axiom,  (! [A, B, C, D, E, F] :  ( (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, D))))  => k2_pcs_0(A, B, C, D, E, E)=E) ) ).
fof(redefinition_k2_pcs_0, axiom,  (! [A, B, C, D, E, F] :  ( (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, D))))  => k2_pcs_0(A, B, C, D, E, F)=k2_xboole_0(E, F)) ) ).
fof(dt_k3_pcs_0, axiom,  (! [A, B, C, D, E, F] :  ( (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, D))))  => m1_subset_1(k3_pcs_0(A, B, C, D, E, F), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, C), k2_zfmisc_1(B, D))))) ) ).
fof(dt_k4_pcs_0, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_yellow_1(B)) ) ) )  =>  (v1_relat_1(k4_pcs_0(A, B)) &  (v4_relat_1(k4_pcs_0(A, B), A) &  (v1_funct_1(k4_pcs_0(A, B)) & v1_partfun1(k4_pcs_0(A, B), A)) ) ) ) ) ).
fof(abstractness_v2_pcs_0, axiom,  (! [A] :  (l1_pcs_0(A) =>  (v2_pcs_0(A) => A=g1_pcs_0(u1_struct_0(A), u1_pcs_0(A))) ) ) ).
fof(dt_l1_pcs_0, axiom,  (! [A] :  (l1_pcs_0(A) => l1_struct_0(A)) ) ).
fof(existence_l1_pcs_0, axiom,  (? [A] : l1_pcs_0(A)) ).
fof(dt_g1_pcs_0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (v2_pcs_0(g1_pcs_0(A, B)) & l1_pcs_0(g1_pcs_0(A, B))) ) ) ).
fof(free_g1_pcs_0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C, D] :  (g1_pcs_0(A, B)=g1_pcs_0(C, D) =>  (A=C & B=D) ) ) ) ) ).
fof(dt_u1_pcs_0, axiom,  (! [A] :  (l1_pcs_0(A) => m1_subset_1(u1_pcs_0(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ).
fof(dt_k5_pcs_0, axiom, l1_pcs_0(k5_pcs_0)).
fof(symmetry_r2_pcs_0, axiom,  (! [A, B, C] :  ( ( (v6_pcs_0(A) & l1_pcs_0(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r2_pcs_0(A, B, C) => r2_pcs_0(A, C, B)) ) ) ).
fof(redefinition_r2_pcs_0, axiom,  (! [A, B, C] :  ( ( (v6_pcs_0(A) & l1_pcs_0(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r2_pcs_0(A, B, C) <=> r1_pcs_0(A, B, C)) ) ) ).
fof(redefinition_v8_pcs_0, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v8_pcs_0(B, A) <=> v7_pcs_0(B)) ) ) ).
fof(dt_k6_pcs_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v7_pcs_0(B)) ) ) )  & m1_subset_1(C, A)) )  => l1_pcs_0(k6_pcs_0(A, B, C))) ) ).
fof(redefinition_k6_pcs_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v7_pcs_0(B)) ) ) )  & m1_subset_1(C, A)) )  => k6_pcs_0(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k7_pcs_0, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v7_pcs_0(B)) ) ) )  =>  (v1_relat_1(k7_pcs_0(A, B)) &  (v4_relat_1(k7_pcs_0(A, B), A) &  (v1_funct_1(k7_pcs_0(A, B)) & v1_partfun1(k7_pcs_0(A, B), A)) ) ) ) ) ).
fof(dt_k8_pcs_0, axiom,  (! [A, B] :  ( (l1_pcs_0(A) & l1_pcs_0(B))  => l1_pcs_0(k8_pcs_0(A, B))) ) ).
fof(dt_k9_pcs_0, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l1_pcs_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_pcs_0(B))  &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, u1_struct_0(B))) ) )  => m1_subset_1(k9_pcs_0(A, B, C, D), u1_struct_0(k8_pcs_0(A, B)))) ) ).
fof(redefinition_k9_pcs_0, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l1_pcs_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_pcs_0(B))  &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, u1_struct_0(B))) ) )  => k9_pcs_0(A, B, C, D)=k4_tarski(C, D)) ) ).
fof(dt_k10_pcs_0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_pcs_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_pcs_0(B))  & m1_subset_1(C, u1_struct_0(k8_pcs_0(A, B)))) )  => m1_subset_1(k10_pcs_0(A, B, C), u1_struct_0(A))) ) ).
fof(redefinition_k10_pcs_0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_pcs_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_pcs_0(B))  & m1_subset_1(C, u1_struct_0(k8_pcs_0(A, B)))) )  => k10_pcs_0(A, B, C)=k1_xtuple_0(C)) ) ).
fof(dt_k11_pcs_0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_pcs_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_pcs_0(B))  & m1_subset_1(C, u1_struct_0(k8_pcs_0(A, B)))) )  => m1_subset_1(k11_pcs_0(A, B, C), u1_struct_0(B))) ) ).
fof(redefinition_k11_pcs_0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_pcs_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_pcs_0(B))  & m1_subset_1(C, u1_struct_0(k8_pcs_0(A, B)))) )  => k11_pcs_0(A, B, C)=k2_xtuple_0(C)) ) ).
fof(abstractness_v12_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (v12_pcs_0(A) => A=g2_pcs_0(u1_struct_0(A), u1_orders_2(A), u1_pcs_0(A))) ) ) ).
fof(dt_l2_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (l1_orders_2(A) & l1_pcs_0(A)) ) ) ).
fof(existence_l2_pcs_0, axiom,  (? [A] : l2_pcs_0(A)) ).
fof(dt_g2_pcs_0, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (v12_pcs_0(g2_pcs_0(A, B, C)) & l2_pcs_0(g2_pcs_0(A, B, C))) ) ) ).
fof(free_g2_pcs_0, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [D, E, F] :  (g2_pcs_0(A, B, C)=g2_pcs_0(D, E, F) =>  (A=D &  (B=E & C=F) ) ) ) ) ) ).
fof(dt_k12_pcs_0, axiom,  (! [A] : l2_pcs_0(k12_pcs_0(A))) ).
fof(dt_k13_pcs_0, axiom, l2_pcs_0(k13_pcs_0)).
fof(dt_k14_pcs_0, axiom,  (! [A] : l2_pcs_0(k14_pcs_0(A))) ).
fof(redefinition_v18_pcs_0, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v18_pcs_0(B, A) <=> v16_pcs_0(B)) ) ) ).
fof(redefinition_v19_pcs_0, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v19_pcs_0(B, A) <=> v17_pcs_0(B)) ) ) ).
fof(dt_k15_pcs_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v16_pcs_0(B)) ) ) )  & m1_subset_1(C, A)) )  => l2_pcs_0(k15_pcs_0(A, B, C))) ) ).
fof(redefinition_k15_pcs_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v16_pcs_0(B)) ) ) )  & m1_subset_1(C, A)) )  => k15_pcs_0(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k16_pcs_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v17_pcs_0(B)) ) ) )  & m1_subset_1(C, A)) )  =>  (v14_pcs_0(k16_pcs_0(A, B, C)) & l2_pcs_0(k16_pcs_0(A, B, C))) ) ) ).
fof(redefinition_k16_pcs_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v17_pcs_0(B)) ) ) )  & m1_subset_1(C, A)) )  => k16_pcs_0(A, B, C)=k1_funct_1(B, C)) ) ).
fof(reflexivity_r3_pcs_0, axiom,  (! [A, B] :  ( (l2_pcs_0(A) & l2_pcs_0(B))  => r3_pcs_0(A, A)) ) ).
fof(dt_k17_pcs_0, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v16_pcs_0(B)) ) ) )  =>  (v12_pcs_0(k17_pcs_0(A, B)) & l2_pcs_0(k17_pcs_0(A, B))) ) ) ).
fof(dt_k18_pcs_0, axiom,  (! [A, B] :  (v1_relat_1(k18_pcs_0(A, B)) &  (v4_relat_1(k18_pcs_0(A, B), k7_domain_1(k4_ordinal1, k5_numbers, 1)) &  (v1_funct_1(k18_pcs_0(A, B)) & v1_partfun1(k18_pcs_0(A, B), k7_domain_1(k4_ordinal1, k5_numbers, 1))) ) ) ) ).
fof(dt_k19_pcs_0, axiom,  (! [A, B] :  ( (l2_pcs_0(A) & l2_pcs_0(B))  => l2_pcs_0(k19_pcs_0(A, B))) ) ).
fof(dt_k20_pcs_0, axiom,  (! [A, B] :  (l2_pcs_0(A) =>  (v12_pcs_0(k20_pcs_0(A, B)) & l2_pcs_0(k20_pcs_0(A, B))) ) ) ).
fof(dt_k21_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) =>  (v12_pcs_0(k21_pcs_0(A)) & l2_pcs_0(k21_pcs_0(A))) ) ) ).
fof(dt_k22_pcs_0, axiom,  (! [A, B] :  ( (l2_pcs_0(A) & l2_pcs_0(B))  => l2_pcs_0(k22_pcs_0(A, B))) ) ).
fof(dt_k23_pcs_0, axiom,  (! [A, B] :  ( (l2_pcs_0(A) & l2_pcs_0(B))  => l2_pcs_0(k23_pcs_0(A, B))) ) ).
fof(dt_k24_pcs_0, axiom,  (! [A, B] :  (l1_orders_2(A) => m1_subset_1(k24_pcs_0(A, B), k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) ).
fof(dt_k25_pcs_0, axiom,  (! [A, B] :  (l1_pcs_0(A) => m1_subset_1(k25_pcs_0(A, B), k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) ).
fof(dt_k26_pcs_0, axiom,  (! [A, B] :  (l2_pcs_0(A) => l2_pcs_0(k26_pcs_0(A, B))) ) ).
fof(dt_k28_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) => m1_subset_1(k28_pcs_0(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(redefinition_k28_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) => k28_pcs_0(A)=k27_pcs_0(A)) ) ).
fof(dt_k29_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) => l2_pcs_0(k29_pcs_0(A))) ) ).
fof(d49_pcs_0, axiom,  (! [A] :  (l2_pcs_0(A) => k27_pcs_0(A)=a_1_0_pcs_0(A)) ) ).
fof(fraenkel_a_1_0_pcs_0, axiom,  (! [A, B] :  (l2_pcs_0(B) =>  (r2_hidden(A, a_1_0_pcs_0(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) &  (A=C & v21_pcs_0(C, B)) ) ) ) ) ) ).
fof(fc1_pdiff_1, axiom,  (v1_funct_1(k1_pdiff_1(1, 1)) &  (v1_funct_2(k1_pdiff_1(1, 1), k1_euclid(1), k1_numbers) & v3_funct_2(k1_pdiff_1(1, 1), k1_euclid(1), k1_numbers)) ) ).
fof(d1_pdiff_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_euclid(B), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B), k1_numbers)))) )  =>  (C=k1_pdiff_1(A, B) <=>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(B)) => k3_funct_2(k1_euclid(B), k1_numbers, C, D)=k1_funct_1(D, A)) ) ) ) ) ) ) ) ) ).
fof(t1_pdiff_1, axiom,  ( (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(A, k2_finseq_1(B)) =>  (k1_relset_1(k1_euclid(B), k1_pdiff_1(A, B))=k1_euclid(B) & k1_rvsum_1(k1_pdiff_1(A, B))=k1_numbers) ) ) ) ) )  &  (! [A] :  (v1_xreal_0(A) =>  (k1_funct_1(k1_pdiff_1(1, 1), k9_finseq_1(A))=A & k1_funct_1(k2_funct_1(k1_pdiff_1(1, 1)), A)=k9_finseq_1(A)) ) ) ) ).
fof(t2_pdiff_1, axiom,  ( (v1_funct_1(k2_funct_1(k1_pdiff_1(1, 1))) &  (v1_funct_2(k2_funct_1(k1_pdiff_1(1, 1)), k1_numbers, k1_euclid(1)) & m1_subset_1(k2_funct_1(k1_pdiff_1(1, 1)), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(1))))) )  &  (v2_funct_1(k2_funct_1(k1_pdiff_1(1, 1))) &  (k9_xtuple_0(k2_funct_1(k1_pdiff_1(1, 1)))=k1_numbers &  (k10_xtuple_0(k2_funct_1(k1_pdiff_1(1, 1)))=k1_euclid(1) &  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_euclid(1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(1))))) )  &  (v3_funct_2(A, k1_numbers, k1_euclid(1)) & k2_funct_1(k1_pdiff_1(1, 1))=A) ) ) ) ) ) ) ).
fof(d2_pdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  => k2_pdiff_1(A)=k3_relat_1(k1_pdiff_1(1, 1), k3_relat_1(A, k2_funct_1(k1_pdiff_1(1, 1))))) ) ).
fof(d3_pdiff_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  => k3_pdiff_1(A, B)=k3_relat_1(B, k2_funct_1(k1_pdiff_1(1, 1)))) ) ) ) ).
fof(d4_pdiff_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(1))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(1)))))) )  =>  (C=k4_pdiff_1(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(k4_real_ns1(B))) => k3_funct_2(u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(1)), C, D)=k9_finseq_1(k1_funct_1(k1_pdiff_1(A, B), D))) ) ) ) ) ) ) ) ) ).
fof(d5_pdiff_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k5_pdiff_1(A, B) <=>  (k9_xtuple_0(C)=k1_numbers &  (! [D] :  (m1_subset_1(D, k1_numbers) => k1_funct_1(C, D)=k1_finseq_7(k1_numbers, B, A, D)) ) ) ) ) ) ) ) ) ) ).
fof(d6_pdiff_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(A))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)))))) )  =>  (D=k7_pdiff_1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(k4_real_ns1(1))) =>  (? [F] :  (m1_subset_1(F, k1_numbers) &  (? [G] :  (m2_finseq_2(G, k1_numbers, k1_euclid(A)) &  (E=k12_finseq_1(k1_numbers, F) &  (G=C & k3_funct_2(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), D, E)=k3_funct_2(k1_numbers, k1_euclid(A), k6_pdiff_1(A, B, G), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_pdiff_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (r1_pdiff_1(A, B, C, D) <=>  (? [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  &  (? [F] :  (m1_subset_1(F, u1_struct_0(k4_real_ns1(A))) &  (C=E &  (D=F & r1_ndiff_1(k4_real_ns1(A), k4_real_ns1(B), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_pdiff_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (r1_pdiff_1(A, B, C, D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_euclid(A), k1_euclid(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B))))) )  =>  (E=k8_pdiff_1(A, B, C, D) <=>  (? [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  &  (? [G] :  (m1_subset_1(G, u1_struct_0(k4_real_ns1(A))) &  (C=F &  (D=G & E=k3_ndiff_1(k4_real_ns1(A), k4_real_ns1(B), F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_pdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_euclid(1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(1))))) )  =>  (A=k2_funct_1(k1_pdiff_1(1, 1)) =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(k4_real_ns1(1))) =>  (! [C] :  (v1_xreal_0(C) =>  (B=k1_funct_1(A, C) => k2_normsp_0(k4_real_ns1(1), B)=k9_complex1(C)) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(k4_real_ns1(1))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(1))) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ( (B=k1_funct_1(A, D) & C=k1_funct_1(A, E))  => k3_rlvect_1(k4_real_ns1(1), B, C)=k1_funct_1(A, k2_xcmplx_0(D, E))) ) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(k4_real_ns1(1))) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (B=k1_funct_1(A, C) => k1_rlvect_1(k4_real_ns1(1), B, D)=k1_funct_1(A, k3_xcmplx_0(D, C))) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(k4_real_ns1(1))) =>  (! [C] :  (v1_xreal_0(C) =>  (B=k1_funct_1(A, C) => k4_algstr_0(k4_real_ns1(1), B)=k1_funct_1(A, k4_xcmplx_0(C))) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_real_ns1(1))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(1))) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ( (B=k1_funct_1(A, D) & C=k1_funct_1(A, E))  => k5_algstr_0(k4_real_ns1(1), B, C)=k1_funct_1(A, k6_xcmplx_0(D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_pdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k1_euclid(1), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(1), k1_numbers)))) )  =>  (r2_funct_2(k1_euclid(1), k1_numbers, A, k1_pdiff_1(1, 1)) =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(k4_real_ns1(1))) =>  (! [C] :  (v1_xreal_0(C) =>  (k1_funct_1(A, B)=C => k2_normsp_0(k4_real_ns1(1), B)=k9_complex1(C)) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(k4_real_ns1(1))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(1))) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ( (k1_funct_1(A, B)=D & k1_funct_1(A, C)=E)  => k1_funct_1(A, k3_rlvect_1(k4_real_ns1(1), B, C))=k2_xcmplx_0(D, E)) ) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(k4_real_ns1(1))) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (k1_funct_1(A, B)=C => k1_funct_1(A, k1_rlvect_1(k4_real_ns1(1), B, D))=k3_xcmplx_0(D, C)) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(k4_real_ns1(1))) =>  (! [C] :  (v1_xreal_0(C) =>  (k1_funct_1(A, B)=C => k1_funct_1(A, k4_algstr_0(k4_real_ns1(1), B))=k4_xcmplx_0(C)) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_real_ns1(1))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(1))) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ( (k1_funct_1(A, B)=D & k1_funct_1(A, C)=E)  => k1_funct_1(A, k5_algstr_0(k4_real_ns1(1), B, C))=k6_xcmplx_0(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_pdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_euclid(1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(1))))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_euclid(1), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(1), k1_numbers)))) )  =>  ( (A=k2_funct_1(k1_pdiff_1(1, 1)) & r2_funct_2(k1_euclid(1), k1_numbers, B, k1_pdiff_1(1, 1)))  =>  ( (! [C] :  ( (v1_funct_1(C) &  (v2_ndiff_1(C, k4_real_ns1(1), k4_real_ns1(1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(1)))))) )  =>  (v1_funct_1(k1_partfun1(k1_numbers, k1_euclid(1), u1_struct_0(k4_real_ns1(1)), k1_numbers, A, k1_partfun1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(1)), k1_euclid(1), k1_numbers, C, B))) &  (v2_fdiff_1(k1_partfun1(k1_numbers, k1_euclid(1), u1_struct_0(k4_real_ns1(1)), k1_numbers, A, k1_partfun1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(1)), k1_euclid(1), k1_numbers, C, B))) & m1_subset_1(k1_partfun1(k1_numbers, k1_euclid(1), u1_struct_0(k4_real_ns1(1)), k1_numbers, A, k1_partfun1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(1)), k1_euclid(1), k1_numbers, C, B)), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ) )  &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(1))) &  (v13_vectsp_1(C, k4_real_ns1(1), k4_real_ns1(1)) &  (v1_lopban_1(C, k4_real_ns1(1), k4_real_ns1(1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(1)))))) ) ) )  =>  (v1_funct_1(k1_partfun1(k1_numbers, k1_euclid(1), u1_struct_0(k4_real_ns1(1)), k1_numbers, A, k1_partfun1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(1)), k1_euclid(1), k1_numbers, C, B))) &  (v3_fdiff_1(k1_partfun1(k1_numbers, k1_euclid(1), u1_struct_0(k4_real_ns1(1)), k1_numbers, A, k1_partfun1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(1)), k1_euclid(1), k1_numbers, C, B))) & m1_subset_1(k1_partfun1(k1_numbers, k1_euclid(1), u1_struct_0(k4_real_ns1(1)), k1_numbers, A, k1_partfun1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(1)), k1_euclid(1), k1_numbers, C, B)), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ) ) ) ) ) ) ) ) ).
fof(t6_pdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_euclid(1)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(1))))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_euclid(1), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(1), k1_numbers)))) )  =>  ( (A=k2_funct_1(k1_pdiff_1(1, 1)) & r2_funct_2(k1_euclid(1), k1_numbers, B, k1_pdiff_1(1, 1)))  =>  ( (! [C] :  ( (v1_funct_1(C) &  (v2_fdiff_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (v1_funct_1(k1_partfun1(k1_euclid(1), k1_numbers, k1_numbers, k1_euclid(1), B, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_euclid(1), C, A))) &  (v2_ndiff_1(k1_partfun1(k1_euclid(1), k1_numbers, k1_numbers, k1_euclid(1), B, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_euclid(1), C, A)), k4_real_ns1(1), k4_real_ns1(1)) & m1_subset_1(k1_partfun1(k1_euclid(1), k1_numbers, k1_numbers, k1_euclid(1), B, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_euclid(1), C, A)), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(1)))))) ) ) )  &  (! [C] :  ( (v1_funct_1(C) &  (v3_fdiff_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (v1_funct_1(k1_partfun1(k1_euclid(1), k1_numbers, k1_numbers, k1_euclid(1), B, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_euclid(1), C, A))) &  (v1_funct_2(k1_partfun1(k1_euclid(1), k1_numbers, k1_numbers, k1_euclid(1), B, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_euclid(1), C, A)), u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(1))) &  (v13_vectsp_1(k1_partfun1(k1_euclid(1), k1_numbers, k1_numbers, k1_euclid(1), B, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_euclid(1), C, A)), k4_real_ns1(1), k4_real_ns1(1)) &  (v1_lopban_1(k1_partfun1(k1_euclid(1), k1_numbers, k1_numbers, k1_euclid(1), B, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_euclid(1), C, A)), k4_real_ns1(1), k4_real_ns1(1)) &  (v2_lopban_1(k1_partfun1(k1_euclid(1), k1_numbers, k1_numbers, k1_euclid(1), B, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_euclid(1), C, A)), k4_real_ns1(1), k4_real_ns1(1)) & m1_subset_1(k1_partfun1(k1_euclid(1), k1_numbers, k1_numbers, k1_euclid(1), B, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_euclid(1), C, A)), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(1)))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_pdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(1))))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(1))) =>  (! [D] :  (v1_xreal_0(D) =>  ( (A=k2_pdiff_1(B) &  (C=k9_finseq_1(D) & r1_ndiff_1(k4_real_ns1(1), k4_real_ns1(1), A, C)) )  =>  (r1_fdiff_1(B, D) & k1_fdiff_1(B, D)=k1_funct_1(k3_relat_1(k2_funct_1(k1_pdiff_1(1, 1)), k3_relat_1(k3_ndiff_1(k4_real_ns1(1), k4_real_ns1(1), A, C), k1_pdiff_1(1, 1))), 1)) ) ) ) ) ) ) ) ) ) ).
fof(t8_pdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(1))))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(1))) =>  (! [D] :  (v1_xreal_0(D) =>  ( (A=k2_pdiff_1(B) &  (C=k9_finseq_1(D) & r1_fdiff_1(B, D)) )  =>  (r1_ndiff_1(k4_real_ns1(1), k4_real_ns1(1), A, C) & k1_funct_1(k3_ndiff_1(k4_real_ns1(1), k4_real_ns1(1), A, C), k12_finseq_1(k4_ordinal1, 1))=k9_finseq_1(k1_fdiff_1(B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t9_pdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(1))))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(1))) =>  (! [D] :  (v1_xreal_0(D) =>  ( (A=k2_pdiff_1(B) & C=k9_finseq_1(D))  =>  (r1_ndiff_1(k4_real_ns1(1), k4_real_ns1(1), A, C) <=> r1_fdiff_1(B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t10_pdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(1))))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(1))) =>  (! [D] :  (v1_xreal_0(D) =>  ( (A=k2_pdiff_1(B) &  (C=k9_finseq_1(D) & r1_ndiff_1(k4_real_ns1(1), k4_real_ns1(1), A, C)) )  => k1_funct_1(k3_ndiff_1(k4_real_ns1(1), k4_real_ns1(1), A, C), k12_finseq_1(k4_ordinal1, 1))=k9_finseq_1(k1_fdiff_1(B, D))) ) ) ) ) ) ) ) ) ).
fof(d9_pdiff_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(A))))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k4_real_ns1(B))) =>  (r2_pdiff_1(A, B, C, D, E) <=> r1_ndiff_1(k4_real_ns1(1), k4_real_ns1(A), k1_partfun1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(A)), k7_pdiff_1(B, C, E), D), k3_funct_2(u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(1)), k4_pdiff_1(C, B), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_pdiff_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k4_real_ns1(A))) => k9_pdiff_1(A, B, C, D, E)=k3_ndiff_1(k4_real_ns1(1), k4_real_ns1(B), k1_partfun1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)), k7_pdiff_1(A, C, E), D), k3_funct_2(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(1)), k4_pdiff_1(C, A), E))) ) ) ) ) ) ) ) ) ) ).
fof(d11_pdiff_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (r3_pdiff_1(A, B, C, D) <=> r1_fdiff_1(k1_partfun1(k1_numbers, k1_euclid(A), k1_euclid(A), k1_numbers, k6_pdiff_1(A, B, D), C), k3_funct_2(k1_euclid(A), k1_numbers, k1_pdiff_1(B, A), D))) ) ) ) ) ) ) ) ) ).
fof(d12_pdiff_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) => k10_pdiff_1(A, B, C, D)=k1_fdiff_1(k1_partfun1(k1_numbers, k1_euclid(A), k1_euclid(A), k1_numbers, k6_pdiff_1(A, B, D), C), k3_funct_2(k1_euclid(A), k1_numbers, k1_pdiff_1(B, A), D))) ) ) ) ) ) ) ) ).
fof(t11_pdiff_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) => k4_pdiff_1(B, A)=k3_relat_1(k1_pdiff_1(B, A), k2_funct_1(k1_pdiff_1(1, 1)))) ) ) ) ).
fof(t12_pdiff_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(A))) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (C=D => r1_funct_2(k1_euclid(1), k1_euclid(A), u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), k1_partfun1(k1_euclid(1), k1_numbers, k1_numbers, k1_euclid(A), k1_pdiff_1(1, 1), k6_pdiff_1(A, B, D)), k7_pdiff_1(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t13_pdiff_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(1))))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k4_real_ns1(A))) =>  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(A)) =>  ( (C=k3_pdiff_1(A, D) & E=F)  => k2_pdiff_1(k1_partfun1(k1_numbers, k1_euclid(A), k1_euclid(A), k1_numbers, k6_pdiff_1(A, B, F), D))=k1_partfun1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(1)), k7_pdiff_1(A, B, E), C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_pdiff_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(1))))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k4_real_ns1(A))) =>  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(A)) =>  ( (C=k3_pdiff_1(A, D) & E=F)  =>  (r2_pdiff_1(1, A, B, C, E) <=> r3_pdiff_1(A, B, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_pdiff_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(1))))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k4_real_ns1(A))) =>  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(A)) =>  ( (C=k3_pdiff_1(A, D) &  (E=F & r2_pdiff_1(1, A, B, C, E)) )  => k1_funct_1(k9_pdiff_1(A, 1, B, C, E), k12_finseq_1(k4_ordinal1, 1))=k9_finseq_1(k10_pdiff_1(A, B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_pdiff_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (r4_pdiff_1(A, B, C, D, E) <=>  (? [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  &  (? [G] :  (m1_subset_1(G, u1_struct_0(k4_real_ns1(A))) &  (D=F &  (E=G & r2_pdiff_1(B, A, C, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_pdiff_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (r4_pdiff_1(A, B, C, D, E) =>  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(B)) =>  (F=k11_pdiff_1(A, B, C, D, E) <=>  (? [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  &  (? [H] :  (m1_subset_1(H, u1_struct_0(k4_real_ns1(A))) &  (D=G &  (E=H & F=k1_funct_1(k9_pdiff_1(A, B, C, G, H), k12_finseq_1(k4_ordinal1, 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_pdiff_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(C))))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B), k1_euclid(C)))))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k4_real_ns1(B))) =>  (! [G] :  (m2_finseq_2(G, k1_numbers, k1_euclid(B)) =>  ( (D=E & F=G)  =>  (r2_pdiff_1(C, B, A, D, F) <=> r4_pdiff_1(B, C, A, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_pdiff_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(C))))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B), k1_euclid(C)))))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k4_real_ns1(B))) =>  (! [G] :  (m2_finseq_2(G, k1_numbers, k1_euclid(B)) =>  ( (D=E &  (F=G & r2_pdiff_1(C, B, A, D, F)) )  => k1_funct_1(k9_pdiff_1(B, C, A, D, F), k12_finseq_1(k4_ordinal1, 1))=k11_pdiff_1(B, C, A, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_pdiff_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(1)))))  =>  (r2_relset_1(k1_euclid(A), k1_euclid(1), E, k3_pdiff_1(A, C)) =>  (r4_pdiff_1(A, 1, B, E, D) <=> r3_pdiff_1(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_pdiff_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(1)))))  =>  ( (r2_relset_1(k1_euclid(A), k1_euclid(1), E, k3_pdiff_1(A, C)) & r4_pdiff_1(A, 1, B, E, D))  => k11_pdiff_1(A, 1, B, E, D)=k9_finseq_1(k10_pdiff_1(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_pdiff_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k4_real_ns1(A))) =>  (r5_pdiff_1(A, B, C, D, E, F) <=> r1_ndiff_1(k4_real_ns1(1), k4_real_ns1(1), k1_partfun1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(1)), k7_pdiff_1(A, C, F), k1_partfun1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(1)), E, k4_pdiff_1(D, B))), k3_funct_2(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(1)), k4_pdiff_1(C, A), F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_pdiff_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k4_real_ns1(A))) => k12_pdiff_1(A, B, C, D, E, F)=k3_ndiff_1(k4_real_ns1(1), k4_real_ns1(1), k1_partfun1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(1)), k7_pdiff_1(A, C, F), k1_partfun1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(1)), E, k4_pdiff_1(D, B))), k3_funct_2(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(1)), k4_pdiff_1(C, A), F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_pdiff_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(A)) =>  (r6_pdiff_1(A, B, C, D, E, F) <=> r1_fdiff_1(k1_partfun1(k1_numbers, k1_euclid(A), k1_euclid(A), k1_numbers, k6_pdiff_1(A, C, F), k1_partfun1(k1_euclid(A), k1_euclid(B), k1_euclid(B), k1_numbers, E, k1_pdiff_1(D, B))), k3_funct_2(k1_euclid(A), k1_numbers, k1_pdiff_1(C, A), F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_pdiff_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(A)) => k13_pdiff_1(A, B, C, D, E, F)=k1_fdiff_1(k1_partfun1(k1_numbers, k1_euclid(A), k1_euclid(A), k1_numbers, k6_pdiff_1(A, C, F), k1_partfun1(k1_euclid(A), k1_euclid(B), k1_euclid(B), k1_numbers, E, k1_pdiff_1(D, B))), k3_funct_2(k1_euclid(A), k1_numbers, k1_pdiff_1(C, A), F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_pdiff_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k4_real_ns1(A))) =>  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(A)) =>  ( (C=D & E=F)  =>  (r1_ndiff_1(k4_real_ns1(A), k4_real_ns1(B), C, E) <=> r1_pdiff_1(A, B, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_pdiff_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k4_real_ns1(A))) =>  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(A)) =>  ( (C=D &  (E=F & r1_ndiff_1(k4_real_ns1(A), k4_real_ns1(B), C, E)) )  => k3_ndiff_1(k4_real_ns1(A), k4_real_ns1(B), C, E)=k8_pdiff_1(A, B, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_pdiff_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k4_real_ns1(A))) =>  (! [H] :  (m2_finseq_2(H, k1_numbers, k1_euclid(A)) =>  ( (E=F & G=H)  => k1_partfun1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(1)), k7_pdiff_1(A, C, G), k1_partfun1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(1)), E, k4_pdiff_1(D, B)))=k2_pdiff_1(k1_partfun1(k1_numbers, k1_euclid(A), k1_euclid(A), k1_numbers, k6_pdiff_1(A, C, H), k1_partfun1(k1_euclid(A), k1_euclid(B), k1_euclid(B), k1_numbers, F, k1_pdiff_1(D, B))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_pdiff_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k4_real_ns1(A))) =>  (! [H] :  (m2_finseq_2(H, k1_numbers, k1_euclid(A)) =>  ( (E=F & G=H)  =>  (r5_pdiff_1(A, B, C, D, E, G) <=> r6_pdiff_1(A, B, C, D, F, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_pdiff_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k4_real_ns1(A))) =>  (! [H] :  (m2_finseq_2(H, k1_numbers, k1_euclid(A)) =>  ( (E=F &  (G=H & r5_pdiff_1(A, B, C, D, E, G)) )  => k1_funct_1(k12_pdiff_1(A, B, C, D, E, G), k12_finseq_1(k4_ordinal1, 1))=k9_finseq_1(k13_pdiff_1(A, B, C, D, F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_pdiff_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  =>  (! [E] :  (r7_pdiff_1(A, B, C, D, E) <=>  (r1_tarski(E, k1_relset_1(u1_struct_0(k4_real_ns1(A)), D)) &  (! [F] :  (m1_subset_1(F, u1_struct_0(k4_real_ns1(A))) =>  (r2_tarski(F, E) => r2_pdiff_1(B, A, C, k2_partfun1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)), D, E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_pdiff_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  =>  (r7_pdiff_1(A, B, C, E, D) => m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k4_real_ns1(A))))) ) ) ) ) ) ) ) ) ) ).
fof(d20_pdiff_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  =>  (! [E] :  (r7_pdiff_1(A, B, C, D, E) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k16_lopban_1(k4_real_ns1(1), k4_real_ns1(B)))))))  =>  (F=k14_pdiff_1(A, B, C, D, E) <=>  (k1_relset_1(u1_struct_0(k4_real_ns1(A)), F)=E &  (! [G] :  (m1_subset_1(G, u1_struct_0(k4_real_ns1(A))) =>  (r2_tarski(G, E) => k7_partfun1(u1_struct_0(k16_lopban_1(k4_real_ns1(1), k4_real_ns1(B))), F, G)=k9_pdiff_1(A, B, C, D, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_pdiff_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k4_real_ns1(A))) =>  (r2_relset_1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(B)), k1_partfun1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)), k7_pdiff_1(A, C, F), k6_vfunct_1(u1_struct_0(k4_real_ns1(A)), k4_real_ns1(B), D, E)), k6_vfunct_1(u1_struct_0(k4_real_ns1(1)), k4_real_ns1(B), k1_partfun1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)), k7_pdiff_1(A, C, F), D), k1_partfun1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)), k7_pdiff_1(A, C, F), E))) & r2_relset_1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(B)), k1_partfun1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)), k7_pdiff_1(A, C, F), k2_vfunct_1(u1_struct_0(k4_real_ns1(A)), k4_real_ns1(B), D, E)), k2_vfunct_1(u1_struct_0(k4_real_ns1(1)), k4_real_ns1(B), k1_partfun1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)), k7_pdiff_1(A, C, F), D), k1_partfun1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)), k7_pdiff_1(A, C, F), E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_pdiff_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k4_real_ns1(A))) => r2_relset_1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(B)), k4_vfunct_1(u1_struct_0(k4_real_ns1(1)), k4_real_ns1(B), k1_partfun1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)), k7_pdiff_1(A, C, F), E), D), k1_partfun1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)), k7_pdiff_1(A, C, F), k4_vfunct_1(u1_struct_0(k4_real_ns1(A)), k4_real_ns1(B), E, D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_pdiff_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k4_real_ns1(A))) =>  ( (r2_pdiff_1(B, A, C, D, F) & r2_pdiff_1(B, A, C, E, F))  =>  (r2_pdiff_1(B, A, C, k6_vfunct_1(u1_struct_0(k4_real_ns1(A)), k4_real_ns1(B), D, E), F) & k9_pdiff_1(A, B, C, k6_vfunct_1(u1_struct_0(k4_real_ns1(A)), k4_real_ns1(B), D, E), F)=k3_rlvect_1(k16_lopban_1(k4_real_ns1(1), k4_real_ns1(B)), k9_pdiff_1(A, B, C, D, F), k9_pdiff_1(A, B, C, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_pdiff_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  ( (r3_pdiff_1(A, B, C, E) & r3_pdiff_1(A, B, D, E))  =>  (r3_pdiff_1(A, B, k3_valued_1(k1_euclid(A), k1_numbers, k1_numbers, C, D), E) & k10_pdiff_1(A, B, k3_valued_1(k1_euclid(A), k1_numbers, k1_numbers, C, D), E)=k2_xcmplx_0(k10_pdiff_1(A, B, C, E), k10_pdiff_1(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_pdiff_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k4_real_ns1(A))) =>  ( (r2_pdiff_1(B, A, C, D, F) & r2_pdiff_1(B, A, C, E, F))  =>  (r2_pdiff_1(B, A, C, k2_vfunct_1(u1_struct_0(k4_real_ns1(A)), k4_real_ns1(B), D, E), F) & k9_pdiff_1(A, B, C, k2_vfunct_1(u1_struct_0(k4_real_ns1(A)), k4_real_ns1(B), D, E), F)=k5_algstr_0(k16_lopban_1(k4_real_ns1(1), k4_real_ns1(B)), k9_pdiff_1(A, B, C, D, F), k9_pdiff_1(A, B, C, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_pdiff_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  ( (r3_pdiff_1(A, B, C, E) & r3_pdiff_1(A, B, D, E))  =>  (r3_pdiff_1(A, B, k47_valued_1(k1_euclid(A), k1_numbers, k1_numbers, C, D), E) & k10_pdiff_1(A, B, k47_valued_1(k1_euclid(A), k1_numbers, k1_numbers, C, D), E)=k6_xcmplx_0(k10_pdiff_1(A, B, C, E), k10_pdiff_1(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_pdiff_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k4_real_ns1(A))) =>  (r2_pdiff_1(B, A, C, E, F) =>  (r2_pdiff_1(B, A, C, k4_vfunct_1(u1_struct_0(k4_real_ns1(A)), k4_real_ns1(B), E, D), F) & k9_pdiff_1(A, B, C, k4_vfunct_1(u1_struct_0(k4_real_ns1(A)), k4_real_ns1(B), E, D), F)=k1_rlvect_1(k16_lopban_1(k4_real_ns1(1), k4_real_ns1(B)), k9_pdiff_1(A, B, C, E, F), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_pdiff_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (r3_pdiff_1(A, B, D, E) =>  (r3_pdiff_1(A, B, k26_valued_1(k1_euclid(A), k1_numbers, D, C), E) & k10_pdiff_1(A, B, k26_valued_1(k1_euclid(A), k1_numbers, D, C), E)=k3_xcmplx_0(C, k10_pdiff_1(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_pdiff_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  =>  (v1_funct_1(k1_pdiff_1(A, B)) &  (v1_funct_2(k1_pdiff_1(A, B), k1_euclid(B), k1_numbers) & m1_subset_1(k1_pdiff_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B), k1_numbers)))) ) ) ) ).
fof(dt_k2_pdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v1_funct_1(k2_pdiff_1(A)) & m1_subset_1(k2_pdiff_1(A), k1_zfmisc_1(k2_zfmisc_1(k1_euclid(1), k1_euclid(1))))) ) ) ).
fof(dt_k3_pdiff_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers)))) )  =>  (v1_funct_1(k3_pdiff_1(A, B)) & m1_subset_1(k3_pdiff_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(1))))) ) ) ).
fof(dt_k4_pdiff_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  =>  (v1_funct_1(k4_pdiff_1(A, B)) &  (v1_funct_2(k4_pdiff_1(A, B), u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(1))) & m1_subset_1(k4_pdiff_1(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(1)))))) ) ) ) ).
fof(dt_k5_pdiff_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_finseq_1(B, k1_numbers))  =>  (v1_relat_1(k5_pdiff_1(A, B)) & v1_funct_1(k5_pdiff_1(A, B))) ) ) ).
fof(dt_k6_pdiff_1, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) & m1_subset_1(C, k1_euclid(A))) )  =>  (v1_funct_1(k6_pdiff_1(A, B, C)) &  (v1_funct_2(k6_pdiff_1(A, B, C), k1_numbers, k1_euclid(A)) & m1_subset_1(k6_pdiff_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A))))) ) ) ) ).
fof(redefinition_k6_pdiff_1, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) & m1_subset_1(C, k1_euclid(A))) )  => k6_pdiff_1(A, B, C)=k5_pdiff_1(B, C)) ) ).
fof(dt_k7_pdiff_1, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) & m1_subset_1(C, u1_struct_0(k4_real_ns1(A)))) )  =>  (v1_funct_1(k7_pdiff_1(A, B, C)) &  (v1_funct_2(k7_pdiff_1(A, B, C), u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A))) & m1_subset_1(k7_pdiff_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)))))) ) ) ) ).
fof(dt_k8_pdiff_1, axiom,  (! [A, B, C, D] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  & m1_subset_1(D, k1_euclid(A))) ) )  =>  (v1_funct_1(k8_pdiff_1(A, B, C, D)) &  (v1_funct_2(k8_pdiff_1(A, B, C, D), k1_euclid(A), k1_euclid(B)) & m1_subset_1(k8_pdiff_1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B))))) ) ) ) ).
fof(dt_k9_pdiff_1, axiom,  (! [A, B, C, D, E] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  &  (v7_ordinal1(C) &  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  & m1_subset_1(E, u1_struct_0(k4_real_ns1(A)))) ) ) )  => m1_subset_1(k9_pdiff_1(A, B, C, D, E), u1_struct_0(k16_lopban_1(k4_real_ns1(1), k4_real_ns1(B))))) ) ).
fof(dt_k10_pdiff_1, axiom,  (! [A, B, C, D] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (v7_ordinal1(B) &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  & m1_subset_1(D, k1_euclid(A))) ) )  => v1_xreal_0(k10_pdiff_1(A, B, C, D))) ) ).
fof(dt_k11_pdiff_1, axiom,  (! [A, B, C, D, E] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  &  (v7_ordinal1(C) &  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  & m1_subset_1(E, k1_euclid(A))) ) ) )  => m2_finseq_2(k11_pdiff_1(A, B, C, D, E), k1_numbers, k1_euclid(B))) ) ).
fof(dt_k12_pdiff_1, axiom,  (! [A, B, C, D, E, F] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  &  (v7_ordinal1(C) &  (v7_ordinal1(D) &  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  & m1_subset_1(F, u1_struct_0(k4_real_ns1(A)))) ) ) ) )  => m1_subset_1(k12_pdiff_1(A, B, C, D, E, F), u1_struct_0(k16_lopban_1(k4_real_ns1(1), k4_real_ns1(1))))) ) ).
fof(dt_k13_pdiff_1, axiom,  (! [A, B, C, D, E, F] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  &  (v7_ordinal1(C) &  (v7_ordinal1(D) &  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  & m1_subset_1(F, k1_euclid(A))) ) ) ) )  => v1_xreal_0(k13_pdiff_1(A, B, C, D, E, F))) ) ).
fof(dt_k14_pdiff_1, axiom,  (! [A, B, C, D, E] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  &  (v7_ordinal1(C) &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)))))) ) ) )  =>  (v1_funct_1(k14_pdiff_1(A, B, C, D, E)) & m1_subset_1(k14_pdiff_1(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k16_lopban_1(k4_real_ns1(1), k4_real_ns1(B))))))) ) ) ).
fof(t1_pdiff_2, axiom,  (k1_relset_1(k1_euclid(2), k1_pdiff_1(1, 2))=k1_euclid(2) &  (k2_relset_1(k1_numbers, k1_pdiff_1(1, 2))=k1_numbers &  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k1_pdiff_1(1, 2), k10_finseq_1(A, B))=A) ) ) ) ) ) ).
fof(t2_pdiff_2, axiom,  (k1_relset_1(k1_euclid(2), k1_pdiff_1(2, 2))=k1_euclid(2) &  (k2_relset_1(k1_numbers, k1_pdiff_1(2, 2))=k1_numbers &  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(k1_pdiff_1(2, 2), k10_finseq_1(A, B))=B) ) ) ) ) ) ).
fof(d1_pdiff_2, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) => k1_pdiff_2(A, B, C, D)=k1_partfun1(k1_numbers, k1_euclid(A), k1_euclid(A), k1_numbers, k6_pdiff_1(A, B, D), C)) ) ) ) ) ) ) ) ).
fof(t3_pdiff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(2)) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  ( (C=k10_finseq_1(A, B) & r3_pdiff_1(2, 1, D, C))  => r1_fdiff_1(k1_pdiff_2(2, 1, D, C), A)) ) ) ) ) ) ) ) ) ).
fof(t4_pdiff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(2)) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  ( (C=k10_finseq_1(A, B) & r3_pdiff_1(2, 2, D, C))  => r1_fdiff_1(k1_pdiff_2(2, 2, D, C), B)) ) ) ) ) ) ) ) ) ).
fof(t5_pdiff_2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(2)) =>  ( (? [C] :  (v1_xreal_0(C) &  (? [D] :  (v1_xreal_0(D) &  (B=k10_finseq_1(C, D) & r1_fdiff_1(k1_pdiff_2(2, 1, A, B), C)) ) ) ) )  <=> r3_pdiff_1(2, 1, A, B)) ) ) ) ) ).
fof(t6_pdiff_2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(2)) =>  ( (? [C] :  (v1_xreal_0(C) &  (? [D] :  (v1_xreal_0(D) &  (B=k10_finseq_1(C, D) & r1_fdiff_1(k1_pdiff_2(2, 2, A, B), D)) ) ) ) )  <=> r3_pdiff_1(2, 2, A, B)) ) ) ) ) ).
fof(t7_pdiff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(2)) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  ~ ( (C=k10_finseq_1(A, B) &  (r3_pdiff_1(2, 1, D, C) &  (! [E] :  (m1_rcomp_1(E, A) =>  ~ ( (r1_tarski(E, k1_relset_1(k1_numbers, k1_pdiff_2(2, 1, D, C))) &  (? [F] :  ( (v1_funct_1(F) &  (v3_fdiff_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [G] :  ( (v1_funct_1(G) &  (v2_fdiff_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, E) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(2, 1, D, C), H), k1_funct_1(k1_pdiff_2(2, 1, D, C), A))=k2_xcmplx_0(k1_funct_1(F, k6_xcmplx_0(H, A)), k1_funct_1(G, k6_xcmplx_0(H, A)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_pdiff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(2)) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  ~ ( (C=k10_finseq_1(A, B) &  (r3_pdiff_1(2, 2, D, C) &  (! [E] :  (m1_rcomp_1(E, B) =>  ~ ( (r1_tarski(E, k1_relset_1(k1_numbers, k1_pdiff_2(2, 2, D, C))) &  (? [F] :  ( (v1_funct_1(F) &  (v3_fdiff_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [G] :  ( (v1_funct_1(G) &  (v2_fdiff_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, E) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(2, 2, D, C), H), k1_funct_1(k1_pdiff_2(2, 2, D, C), B))=k2_xcmplx_0(k1_funct_1(F, k6_xcmplx_0(H, B)), k1_funct_1(G, k6_xcmplx_0(H, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_pdiff_2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(2)) =>  (r3_pdiff_1(2, 1, A, B) <=>  (? [C] :  (v1_xreal_0(C) &  (? [D] :  (v1_xreal_0(D) &  (B=k10_finseq_1(C, D) &  (? [E] :  (m1_rcomp_1(E, C) &  (r1_tarski(E, k1_relset_1(k1_numbers, k1_pdiff_2(2, 1, A, B))) &  (? [F] :  ( (v1_funct_1(F) &  (v3_fdiff_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [G] :  ( (v1_funct_1(G) &  (v2_fdiff_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, E) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(2, 1, A, B), H), k1_funct_1(k1_pdiff_2(2, 1, A, B), C))=k2_xcmplx_0(k1_funct_1(F, k6_xcmplx_0(H, C)), k1_funct_1(G, k6_xcmplx_0(H, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_pdiff_2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(2)) =>  (r3_pdiff_1(2, 2, A, B) <=>  (? [C] :  (v1_xreal_0(C) &  (? [D] :  (v1_xreal_0(D) &  (B=k10_finseq_1(C, D) &  (? [E] :  (m1_rcomp_1(E, D) &  (r1_tarski(E, k1_relset_1(k1_numbers, k1_pdiff_2(2, 2, A, B))) &  (? [F] :  ( (v1_funct_1(F) &  (v3_fdiff_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [G] :  ( (v1_funct_1(G) &  (v2_fdiff_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, E) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(2, 2, A, B), H), k1_funct_1(k1_pdiff_2(2, 2, A, B), D))=k2_xcmplx_0(k1_funct_1(F, k6_xcmplx_0(H, D)), k1_funct_1(G, k6_xcmplx_0(H, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_pdiff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(2)) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  ( (D=k10_finseq_1(A, B) & r3_pdiff_1(2, 1, E, D))  =>  (C=k10_pdiff_1(2, 1, E, D) <=>  (? [F] :  (v1_xreal_0(F) &  (? [G] :  (v1_xreal_0(G) &  (D=k10_finseq_1(F, G) &  (? [H] :  (m1_rcomp_1(H, F) &  (r1_tarski(H, k1_relset_1(k1_numbers, k1_pdiff_2(2, 1, E, D))) &  (? [I] :  ( (v1_funct_1(I) &  (v3_fdiff_1(I) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [J] :  ( (v1_funct_1(J) &  (v2_fdiff_1(J) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (C=k1_funct_1(I, 1) &  (! [K] :  (v1_xreal_0(K) =>  (r2_hidden(K, H) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(2, 1, E, D), K), k1_funct_1(k1_pdiff_2(2, 1, E, D), F))=k2_xcmplx_0(k1_funct_1(I, k6_xcmplx_0(K, F)), k1_funct_1(J, k6_xcmplx_0(K, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_pdiff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(2)) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  ( (D=k10_finseq_1(A, B) & r3_pdiff_1(2, 2, E, D))  =>  (C=k10_pdiff_1(2, 2, E, D) <=>  (? [F] :  (v1_xreal_0(F) &  (? [G] :  (v1_xreal_0(G) &  (D=k10_finseq_1(F, G) &  (? [H] :  (m1_rcomp_1(H, G) &  (r1_tarski(H, k1_relset_1(k1_numbers, k1_pdiff_2(2, 2, E, D))) &  (? [I] :  ( (v1_funct_1(I) &  (v3_fdiff_1(I) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [J] :  ( (v1_funct_1(J) &  (v2_fdiff_1(J) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (C=k1_funct_1(I, 1) &  (! [K] :  (v1_xreal_0(K) =>  (r2_hidden(K, H) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(2, 2, E, D), K), k1_funct_1(k1_pdiff_2(2, 2, E, D), G))=k2_xcmplx_0(k1_funct_1(I, k6_xcmplx_0(K, G)), k1_funct_1(J, k6_xcmplx_0(K, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_pdiff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(2)) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  ( (C=k10_finseq_1(A, B) & r3_pdiff_1(2, 1, D, C))  => k10_pdiff_1(2, 1, D, C)=k1_fdiff_1(k1_pdiff_2(2, 1, D, C), A)) ) ) ) ) ) ) ) ) ).
fof(t14_pdiff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(2)) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  ( (C=k10_finseq_1(A, B) & r3_pdiff_1(2, 2, D, C))  => k10_pdiff_1(2, 2, D, C)=k1_fdiff_1(k1_pdiff_2(2, 2, D, C), B)) ) ) ) ) ) ) ) ) ).
fof(d2_pdiff_2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [B] :  (r1_pdiff_2(A, B) <=>  (r1_tarski(B, k1_relset_1(k1_euclid(2), A)) &  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(2)) =>  (r2_tarski(C, B) => r3_pdiff_1(2, 1, k2_partfun1(k1_euclid(2), k1_numbers, A, B), C)) ) ) ) ) ) ) ) ).
fof(d3_pdiff_2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [B] :  (r2_pdiff_2(A, B) <=>  (r1_tarski(B, k1_relset_1(k1_euclid(2), A)) &  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(2)) =>  (r2_tarski(C, B) => r3_pdiff_1(2, 2, k2_partfun1(k1_euclid(2), k1_numbers, A, B), C)) ) ) ) ) ) ) ) ).
fof(t15_pdiff_2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_euclid(2))) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (r1_pdiff_2(B, A) =>  (r1_tarski(A, k1_relset_1(k1_euclid(2), B)) &  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(2)) =>  (r2_tarski(C, A) => r3_pdiff_1(2, 1, B, C)) ) ) ) ) ) ) ) ) ).
fof(t16_pdiff_2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_euclid(2))) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (r2_pdiff_2(B, A) =>  (r1_tarski(A, k1_relset_1(k1_euclid(2), B)) &  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(2)) =>  (r2_tarski(C, A) => r3_pdiff_1(2, 2, B, C)) ) ) ) ) ) ) ) ) ).
fof(d4_pdiff_2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [B] :  (r1_pdiff_2(A, B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (C=k2_pdiff_2(A, B) <=>  (k1_relset_1(k1_euclid(2), C)=B &  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(2)) =>  (r2_tarski(D, B) => k1_funct_1(C, D)=k10_pdiff_1(2, 1, A, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_pdiff_2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [B] :  (r2_pdiff_2(A, B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (C=k3_pdiff_2(A, B) <=>  (k1_relset_1(k1_euclid(2), C)=B &  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(2)) =>  (r2_tarski(D, B) => k1_funct_1(C, D)=k10_pdiff_1(2, 2, A, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_pdiff_2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(2)) =>  (! [C] :  (m1_rcomp_1(C, k3_funct_2(k1_euclid(2), k1_numbers, k1_pdiff_1(1, 2), B)) =>  ( (r3_pdiff_1(2, 1, A, B) & r1_tarski(C, k1_relset_1(k1_numbers, k1_pdiff_2(2, 1, A, B))))  =>  (! [D] :  ( (v9_ordinal1(D) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(D, k5_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v3_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (k2_relset_1(k1_numbers, E)=k1_tarski(k3_funct_2(k1_euclid(2), k1_numbers, k1_pdiff_1(1, 2), B)) & r1_tarski(k2_relset_1(k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E)), C))  =>  (v2_comseq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), k1_pdiff_2(2, 1, A, B)), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, k1_pdiff_2(2, 1, A, B))))) & k10_pdiff_1(2, 1, A, B)=k1_seq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), k1_pdiff_2(2, 1, A, B)), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, k1_pdiff_2(2, 1, A, B)))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_pdiff_2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(2)) =>  (! [C] :  (m1_rcomp_1(C, k3_funct_2(k1_euclid(2), k1_numbers, k1_pdiff_1(2, 2), B)) =>  ( (r3_pdiff_1(2, 2, A, B) & r1_tarski(C, k1_relset_1(k1_numbers, k1_pdiff_2(2, 2, A, B))))  =>  (! [D] :  ( (v9_ordinal1(D) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(D, k5_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v3_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (k2_relset_1(k1_numbers, E)=k1_tarski(k3_funct_2(k1_euclid(2), k1_numbers, k1_pdiff_1(2, 2), B)) & r1_tarski(k2_relset_1(k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E)), C))  =>  (v2_comseq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), k1_pdiff_2(2, 2, A, B)), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, k1_pdiff_2(2, 2, A, B))))) & k10_pdiff_1(2, 2, A, B)=k1_seq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), k1_pdiff_2(2, 2, A, B)), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, k1_pdiff_2(2, 2, A, B)))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_pdiff_2, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(2)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  ( (r3_pdiff_1(2, 1, B, A) & r3_pdiff_1(2, 1, C, A))  => r3_pdiff_1(2, 1, k20_valued_1(k1_euclid(2), k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ).
fof(t20_pdiff_2, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(2)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  ( (r3_pdiff_1(2, 2, B, A) & r3_pdiff_1(2, 2, C, A))  => r3_pdiff_1(2, 2, k20_valued_1(k1_euclid(2), k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ).
fof(t21_pdiff_2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(2)) =>  (r3_pdiff_1(2, 1, A, B) => r1_fcont_1(k1_pdiff_2(2, 1, A, B), k3_funct_2(k1_euclid(2), k1_numbers, k1_pdiff_1(1, 2), B))) ) ) ) ) ).
fof(t22_pdiff_2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(2)) =>  (r3_pdiff_1(2, 2, A, B) => r1_fcont_1(k1_pdiff_2(2, 2, A, B), k3_funct_2(k1_euclid(2), k1_numbers, k1_pdiff_1(2, 2), B))) ) ) ) ) ).
fof(dt_k1_pdiff_2, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, k4_ordinal1) &  (m1_subset_1(B, k4_ordinal1) &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  & m1_subset_1(D, k1_euclid(A))) ) )  =>  (v1_funct_1(k1_pdiff_2(A, B, C, D)) & m1_subset_1(k1_pdiff_2(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ) ).
fof(dt_k2_pdiff_2, axiom,  (! [A, B] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (v1_funct_1(k2_pdiff_2(A, B)) & m1_subset_1(k2_pdiff_2(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers)))) ) ) ).
fof(dt_k3_pdiff_2, axiom,  (! [A, B] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (v1_funct_1(k3_pdiff_2(A, B)) & m1_subset_1(k3_pdiff_2(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers)))) ) ) ).
fof(cc1_pdiff_3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))) =>  ( (v1_funct_1(A) & v2_fdiff_1(A))  =>  (v1_funct_1(A) &  (v1_partfun1(A, k1_numbers) & v2_fdiff_1(A)) ) ) ) ) ).
fof(d1_pdiff_3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B), k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_euclid(B), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B), k1_numbers)))) )  =>  (D=k1_pdiff_3(A, B, C) <=>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(B)) => k3_funct_2(k1_euclid(B), k1_numbers, D, E)=k10_pdiff_1(B, A, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_pdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(2)) =>  (r1_pdiff_3(A, B) <=>  (? [C] :  (v1_xreal_0(C) &  (? [D] :  (v1_xreal_0(D) &  (B=k10_finseq_1(C, D) &  (? [E] :  (m1_rcomp_1(E, C) &  (r1_tarski(E, k1_relset_1(k1_numbers, k1_pdiff_2(2, 1, k1_pdiff_3(1, 2, A), B))) &  (? [F] :  ( (v1_funct_1(F) &  (v3_fdiff_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [G] :  ( (v1_funct_1(G) &  (v2_fdiff_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, E) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(2, 1, k1_pdiff_3(1, 2, A), B), H), k1_funct_1(k1_pdiff_2(2, 1, k1_pdiff_3(1, 2, A), B), C))=k2_xcmplx_0(k1_funct_1(F, k6_xcmplx_0(H, C)), k1_funct_1(G, k6_xcmplx_0(H, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_pdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(2)) =>  (r2_pdiff_3(A, B) <=>  (? [C] :  (v1_xreal_0(C) &  (? [D] :  (v1_xreal_0(D) &  (B=k10_finseq_1(C, D) &  (? [E] :  (m1_rcomp_1(E, D) &  (r1_tarski(E, k1_relset_1(k1_numbers, k1_pdiff_2(2, 2, k1_pdiff_3(1, 2, A), B))) &  (? [F] :  ( (v1_funct_1(F) &  (v3_fdiff_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [G] :  ( (v1_funct_1(G) &  (v2_fdiff_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, E) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(2, 2, k1_pdiff_3(1, 2, A), B), H), k1_funct_1(k1_pdiff_2(2, 2, k1_pdiff_3(1, 2, A), B), D))=k2_xcmplx_0(k1_funct_1(F, k6_xcmplx_0(H, D)), k1_funct_1(G, k6_xcmplx_0(H, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_pdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(2)) =>  (r3_pdiff_3(A, B) <=>  (? [C] :  (v1_xreal_0(C) &  (? [D] :  (v1_xreal_0(D) &  (B=k10_finseq_1(C, D) &  (? [E] :  (m1_rcomp_1(E, C) &  (r1_tarski(E, k1_relset_1(k1_numbers, k1_pdiff_2(2, 1, k1_pdiff_3(2, 2, A), B))) &  (? [F] :  ( (v1_funct_1(F) &  (v3_fdiff_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [G] :  ( (v1_funct_1(G) &  (v2_fdiff_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, E) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(2, 1, k1_pdiff_3(2, 2, A), B), H), k1_funct_1(k1_pdiff_2(2, 1, k1_pdiff_3(2, 2, A), B), C))=k2_xcmplx_0(k1_funct_1(F, k6_xcmplx_0(H, C)), k1_funct_1(G, k6_xcmplx_0(H, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_pdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(2)) =>  (r4_pdiff_3(A, B) <=>  (? [C] :  (v1_xreal_0(C) &  (? [D] :  (v1_xreal_0(D) &  (B=k10_finseq_1(C, D) &  (? [E] :  (m1_rcomp_1(E, D) &  (r1_tarski(E, k1_relset_1(k1_numbers, k1_pdiff_2(2, 2, k1_pdiff_3(2, 2, A), B))) &  (? [F] :  ( (v1_funct_1(F) &  (v3_fdiff_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [G] :  ( (v1_funct_1(G) &  (v2_fdiff_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, E) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(2, 2, k1_pdiff_3(2, 2, A), B), H), k1_funct_1(k1_pdiff_2(2, 2, k1_pdiff_3(2, 2, A), B), D))=k2_xcmplx_0(k1_funct_1(F, k6_xcmplx_0(H, D)), k1_funct_1(G, k6_xcmplx_0(H, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_pdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(2)) =>  (r1_pdiff_3(A, B) =>  (! [C] :  (v1_xreal_0(C) =>  (C=k2_pdiff_3(A, B) <=>  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (B=k10_finseq_1(D, E) &  (? [F] :  (m1_rcomp_1(F, D) &  (r1_tarski(F, k1_relset_1(k1_numbers, k1_pdiff_2(2, 1, k1_pdiff_3(1, 2, A), B))) &  (? [G] :  ( (v1_funct_1(G) &  (v3_fdiff_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [H] :  ( (v1_funct_1(H) &  (v2_fdiff_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (C=k1_funct_1(G, 1) &  (! [I] :  (v1_xreal_0(I) =>  (r2_hidden(I, F) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(2, 1, k1_pdiff_3(1, 2, A), B), I), k1_funct_1(k1_pdiff_2(2, 1, k1_pdiff_3(1, 2, A), B), D))=k2_xcmplx_0(k1_funct_1(G, k6_xcmplx_0(I, D)), k1_funct_1(H, k6_xcmplx_0(I, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_pdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(2)) =>  (r2_pdiff_3(A, B) =>  (! [C] :  (v1_xreal_0(C) =>  (C=k3_pdiff_3(A, B) <=>  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (B=k10_finseq_1(D, E) &  (? [F] :  (m1_rcomp_1(F, E) &  (r1_tarski(F, k1_relset_1(k1_numbers, k1_pdiff_2(2, 2, k1_pdiff_3(1, 2, A), B))) &  (? [G] :  ( (v1_funct_1(G) &  (v3_fdiff_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [H] :  ( (v1_funct_1(H) &  (v2_fdiff_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (C=k1_funct_1(G, 1) &  (! [I] :  (v1_xreal_0(I) =>  (r2_hidden(I, F) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(2, 2, k1_pdiff_3(1, 2, A), B), I), k1_funct_1(k1_pdiff_2(2, 2, k1_pdiff_3(1, 2, A), B), E))=k2_xcmplx_0(k1_funct_1(G, k6_xcmplx_0(I, E)), k1_funct_1(H, k6_xcmplx_0(I, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_pdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(2)) =>  (r3_pdiff_3(A, B) =>  (! [C] :  (v1_xreal_0(C) =>  (C=k4_pdiff_3(A, B) <=>  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (B=k10_finseq_1(D, E) &  (? [F] :  (m1_rcomp_1(F, D) &  (r1_tarski(F, k1_relset_1(k1_numbers, k1_pdiff_2(2, 1, k1_pdiff_3(2, 2, A), B))) &  (? [G] :  ( (v1_funct_1(G) &  (v3_fdiff_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [H] :  ( (v1_funct_1(H) &  (v2_fdiff_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (C=k1_funct_1(G, 1) &  (! [I] :  (v1_xreal_0(I) =>  (r2_hidden(I, F) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(2, 1, k1_pdiff_3(2, 2, A), B), I), k1_funct_1(k1_pdiff_2(2, 1, k1_pdiff_3(2, 2, A), B), D))=k2_xcmplx_0(k1_funct_1(G, k6_xcmplx_0(I, D)), k1_funct_1(H, k6_xcmplx_0(I, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_pdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(2)) =>  (r4_pdiff_3(A, B) =>  (! [C] :  (v1_xreal_0(C) =>  (C=k5_pdiff_3(A, B) <=>  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (B=k10_finseq_1(D, E) &  (? [F] :  (m1_rcomp_1(F, E) &  (r1_tarski(F, k1_relset_1(k1_numbers, k1_pdiff_2(2, 2, k1_pdiff_3(2, 2, A), B))) &  (? [G] :  ( (v1_funct_1(G) &  (v3_fdiff_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [H] :  ( (v1_funct_1(H) &  (v2_fdiff_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (C=k1_funct_1(G, 1) &  (! [I] :  (v1_xreal_0(I) =>  (r2_hidden(I, F) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(2, 2, k1_pdiff_3(2, 2, A), B), I), k1_funct_1(k1_pdiff_2(2, 2, k1_pdiff_3(2, 2, A), B), E))=k2_xcmplx_0(k1_funct_1(G, k6_xcmplx_0(I, E)), k1_funct_1(H, k6_xcmplx_0(I, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_pdiff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(2)) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  ( (C=k10_finseq_1(A, B) & r1_pdiff_3(D, C))  => r1_fdiff_1(k1_pdiff_2(2, 1, k1_pdiff_3(1, 2, D), C), A)) ) ) ) ) ) ) ) ) ).
fof(t2_pdiff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(2)) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  ( (C=k10_finseq_1(A, B) & r2_pdiff_3(D, C))  => r1_fdiff_1(k1_pdiff_2(2, 2, k1_pdiff_3(1, 2, D), C), B)) ) ) ) ) ) ) ) ) ).
fof(t3_pdiff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(2)) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  ( (C=k10_finseq_1(A, B) & r3_pdiff_3(D, C))  => r1_fdiff_1(k1_pdiff_2(2, 1, k1_pdiff_3(2, 2, D), C), A)) ) ) ) ) ) ) ) ) ).
fof(t4_pdiff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(2)) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  ( (C=k10_finseq_1(A, B) & r4_pdiff_3(D, C))  => r1_fdiff_1(k1_pdiff_2(2, 2, k1_pdiff_3(2, 2, D), C), B)) ) ) ) ) ) ) ) ) ).
fof(t5_pdiff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(2)) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  ( (C=k10_finseq_1(A, B) & r1_pdiff_3(D, C))  => k2_pdiff_3(D, C)=k1_fdiff_1(k1_pdiff_2(2, 1, k1_pdiff_3(1, 2, D), C), A)) ) ) ) ) ) ) ) ) ).
fof(t6_pdiff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(2)) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  ( (C=k10_finseq_1(A, B) & r2_pdiff_3(D, C))  => k3_pdiff_3(D, C)=k1_fdiff_1(k1_pdiff_2(2, 2, k1_pdiff_3(1, 2, D), C), B)) ) ) ) ) ) ) ) ) ).
fof(t7_pdiff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(2)) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  ( (C=k10_finseq_1(A, B) & r3_pdiff_3(D, C))  => k4_pdiff_3(D, C)=k1_fdiff_1(k1_pdiff_2(2, 1, k1_pdiff_3(2, 2, D), C), A)) ) ) ) ) ) ) ) ) ).
fof(t8_pdiff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(2)) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  ( (C=k10_finseq_1(A, B) & r4_pdiff_3(D, C))  => k5_pdiff_3(D, C)=k1_fdiff_1(k1_pdiff_2(2, 2, k1_pdiff_3(2, 2, D), C), B)) ) ) ) ) ) ) ) ) ).
fof(d10_pdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [B] :  (r5_pdiff_3(A, B) <=>  (r1_tarski(B, k1_relset_1(k1_euclid(2), A)) &  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(2)) =>  (r2_tarski(C, B) => r1_pdiff_3(k2_partfun1(k1_euclid(2), k1_numbers, A, B), C)) ) ) ) ) ) ) ) ).
fof(d11_pdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [B] :  (r6_pdiff_3(A, B) <=>  (r1_tarski(B, k1_relset_1(k1_euclid(2), A)) &  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(2)) =>  (r2_tarski(C, B) => r2_pdiff_3(k2_partfun1(k1_euclid(2), k1_numbers, A, B), C)) ) ) ) ) ) ) ) ).
fof(d12_pdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [B] :  (r7_pdiff_3(A, B) <=>  (r1_tarski(B, k1_relset_1(k1_euclid(2), A)) &  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(2)) =>  (r2_tarski(C, B) => r3_pdiff_3(k2_partfun1(k1_euclid(2), k1_numbers, A, B), C)) ) ) ) ) ) ) ) ).
fof(d13_pdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [B] :  (r8_pdiff_3(A, B) <=>  (r1_tarski(B, k1_relset_1(k1_euclid(2), A)) &  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(2)) =>  (r2_tarski(C, B) => r4_pdiff_3(k2_partfun1(k1_euclid(2), k1_numbers, A, B), C)) ) ) ) ) ) ) ) ).
fof(d14_pdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [B] :  (r5_pdiff_3(A, B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (C=k6_pdiff_3(A, B) <=>  (k1_relset_1(k1_euclid(2), C)=B &  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(2)) =>  (r2_tarski(D, B) => k1_funct_1(C, D)=k2_pdiff_3(A, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_pdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [B] :  (r6_pdiff_3(A, B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (C=k7_pdiff_3(A, B) <=>  (k1_relset_1(k1_euclid(2), C)=B &  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(2)) =>  (r2_tarski(D, B) => k1_funct_1(C, D)=k3_pdiff_3(A, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_pdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [B] :  (r7_pdiff_3(A, B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (C=k8_pdiff_3(A, B) <=>  (k1_relset_1(k1_euclid(2), C)=B &  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(2)) =>  (r2_tarski(D, B) => k1_funct_1(C, D)=k4_pdiff_3(A, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_pdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [B] :  (r8_pdiff_3(A, B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (C=k9_pdiff_3(A, B) <=>  (k1_relset_1(k1_euclid(2), C)=B &  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(2)) =>  (r2_tarski(D, B) => k1_funct_1(C, D)=k5_pdiff_3(A, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_pdiff_3, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(2)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (r1_pdiff_3(B, A) <=> r3_pdiff_1(2, 1, k1_pdiff_3(1, 2, B), A)) ) ) ) ) ).
fof(t10_pdiff_3, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(2)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (r2_pdiff_3(B, A) <=> r3_pdiff_1(2, 2, k1_pdiff_3(1, 2, B), A)) ) ) ) ) ).
fof(t11_pdiff_3, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(2)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (r3_pdiff_3(B, A) <=> r3_pdiff_1(2, 1, k1_pdiff_3(2, 2, B), A)) ) ) ) ) ).
fof(t12_pdiff_3, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(2)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (r4_pdiff_3(B, A) <=> r3_pdiff_1(2, 2, k1_pdiff_3(2, 2, B), A)) ) ) ) ) ).
fof(t13_pdiff_3, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(2)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (r1_pdiff_3(B, A) => k2_pdiff_3(B, A)=k10_pdiff_1(2, 1, k1_pdiff_3(1, 2, B), A)) ) ) ) ) ).
fof(t14_pdiff_3, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(2)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (r2_pdiff_3(B, A) => k3_pdiff_3(B, A)=k10_pdiff_1(2, 2, k1_pdiff_3(1, 2, B), A)) ) ) ) ) ).
fof(t15_pdiff_3, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(2)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (r3_pdiff_3(B, A) => k4_pdiff_3(B, A)=k10_pdiff_1(2, 1, k1_pdiff_3(2, 2, B), A)) ) ) ) ) ).
fof(t16_pdiff_3, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(2)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (r4_pdiff_3(B, A) => k5_pdiff_3(B, A)=k10_pdiff_1(2, 2, k1_pdiff_3(2, 2, B), A)) ) ) ) ) ).
fof(t17_pdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(2)) =>  (! [C] :  (m1_rcomp_1(C, k3_funct_2(k1_euclid(2), k1_numbers, k1_pdiff_1(1, 2), B)) =>  ( (r1_pdiff_3(A, B) & r1_tarski(C, k1_relset_1(k1_numbers, k1_pdiff_2(2, 1, k1_pdiff_3(1, 2, A), B))))  =>  (! [D] :  ( (v9_ordinal1(D) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(D, k5_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v3_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (k2_relset_1(k1_numbers, E)=k1_tarski(k3_funct_2(k1_euclid(2), k1_numbers, k1_pdiff_1(1, 2), B)) & r1_tarski(k2_relset_1(k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E)), C))  =>  (v2_comseq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), k1_pdiff_2(2, 1, k1_pdiff_3(1, 2, A), B)), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, k1_pdiff_2(2, 1, k1_pdiff_3(1, 2, A), B))))) & k2_pdiff_3(A, B)=k1_seq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), k1_pdiff_2(2, 1, k1_pdiff_3(1, 2, A), B)), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, k1_pdiff_2(2, 1, k1_pdiff_3(1, 2, A), B)))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_pdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(2)) =>  (! [C] :  (m1_rcomp_1(C, k3_funct_2(k1_euclid(2), k1_numbers, k1_pdiff_1(2, 2), B)) =>  ( (r2_pdiff_3(A, B) & r1_tarski(C, k1_relset_1(k1_numbers, k1_pdiff_2(2, 2, k1_pdiff_3(1, 2, A), B))))  =>  (! [D] :  ( (v9_ordinal1(D) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(D, k5_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v3_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (k2_relset_1(k1_numbers, E)=k1_tarski(k3_funct_2(k1_euclid(2), k1_numbers, k1_pdiff_1(2, 2), B)) & r1_tarski(k2_relset_1(k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E)), C))  =>  (v2_comseq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), k1_pdiff_2(2, 2, k1_pdiff_3(1, 2, A), B)), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, k1_pdiff_2(2, 2, k1_pdiff_3(1, 2, A), B))))) & k3_pdiff_3(A, B)=k1_seq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), k1_pdiff_2(2, 2, k1_pdiff_3(1, 2, A), B)), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, k1_pdiff_2(2, 2, k1_pdiff_3(1, 2, A), B)))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_pdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(2)) =>  (! [C] :  (m1_rcomp_1(C, k3_funct_2(k1_euclid(2), k1_numbers, k1_pdiff_1(1, 2), B)) =>  ( (r3_pdiff_3(A, B) & r1_tarski(C, k1_relset_1(k1_numbers, k1_pdiff_2(2, 1, k1_pdiff_3(2, 2, A), B))))  =>  (! [D] :  ( (v9_ordinal1(D) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(D, k5_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v3_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (k2_relset_1(k1_numbers, E)=k1_tarski(k3_funct_2(k1_euclid(2), k1_numbers, k1_pdiff_1(1, 2), B)) & r1_tarski(k2_relset_1(k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E)), C))  =>  (v2_comseq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), k1_pdiff_2(2, 1, k1_pdiff_3(2, 2, A), B)), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, k1_pdiff_2(2, 1, k1_pdiff_3(2, 2, A), B))))) & k4_pdiff_3(A, B)=k1_seq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), k1_pdiff_2(2, 1, k1_pdiff_3(2, 2, A), B)), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, k1_pdiff_2(2, 1, k1_pdiff_3(2, 2, A), B)))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_pdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(2)) =>  (! [C] :  (m1_rcomp_1(C, k3_funct_2(k1_euclid(2), k1_numbers, k1_pdiff_1(2, 2), B)) =>  ( (r4_pdiff_3(A, B) & r1_tarski(C, k1_relset_1(k1_numbers, k1_pdiff_2(2, 2, k1_pdiff_3(2, 2, A), B))))  =>  (! [D] :  ( (v9_ordinal1(D) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(D, k5_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v3_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (k2_relset_1(k1_numbers, E)=k1_tarski(k3_funct_2(k1_euclid(2), k1_numbers, k1_pdiff_1(2, 2), B)) & r1_tarski(k2_relset_1(k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E)), C))  =>  (v2_comseq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), k1_pdiff_2(2, 2, k1_pdiff_3(2, 2, A), B)), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, k1_pdiff_2(2, 2, k1_pdiff_3(2, 2, A), B))))) & k5_pdiff_3(A, B)=k1_seq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), k1_pdiff_2(2, 2, k1_pdiff_3(2, 2, A), B)), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, k1_pdiff_2(2, 2, k1_pdiff_3(2, 2, A), B)))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_pdiff_3, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(2)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  ( (r1_pdiff_3(B, A) & r1_pdiff_3(C, A))  =>  (r3_pdiff_1(2, 1, k3_valued_1(k1_euclid(2), k1_numbers, k1_numbers, k1_pdiff_3(1, 2, B), k1_pdiff_3(1, 2, C)), A) & k10_pdiff_1(2, 1, k3_valued_1(k1_euclid(2), k1_numbers, k1_numbers, k1_pdiff_3(1, 2, B), k1_pdiff_3(1, 2, C)), A)=k2_xcmplx_0(k2_pdiff_3(B, A), k2_pdiff_3(C, A))) ) ) ) ) ) ) ) ).
fof(t22_pdiff_3, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(2)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  ( (r2_pdiff_3(B, A) & r2_pdiff_3(C, A))  =>  (r3_pdiff_1(2, 2, k3_valued_1(k1_euclid(2), k1_numbers, k1_numbers, k1_pdiff_3(1, 2, B), k1_pdiff_3(1, 2, C)), A) & k10_pdiff_1(2, 2, k3_valued_1(k1_euclid(2), k1_numbers, k1_numbers, k1_pdiff_3(1, 2, B), k1_pdiff_3(1, 2, C)), A)=k2_xcmplx_0(k3_pdiff_3(B, A), k3_pdiff_3(C, A))) ) ) ) ) ) ) ) ).
fof(t23_pdiff_3, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(2)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  ( (r3_pdiff_3(B, A) & r3_pdiff_3(C, A))  =>  (r3_pdiff_1(2, 1, k3_valued_1(k1_euclid(2), k1_numbers, k1_numbers, k1_pdiff_3(2, 2, B), k1_pdiff_3(2, 2, C)), A) & k10_pdiff_1(2, 1, k3_valued_1(k1_euclid(2), k1_numbers, k1_numbers, k1_pdiff_3(2, 2, B), k1_pdiff_3(2, 2, C)), A)=k2_xcmplx_0(k4_pdiff_3(B, A), k4_pdiff_3(C, A))) ) ) ) ) ) ) ) ).
fof(t24_pdiff_3, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(2)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  ( (r4_pdiff_3(B, A) & r4_pdiff_3(C, A))  =>  (r3_pdiff_1(2, 2, k3_valued_1(k1_euclid(2), k1_numbers, k1_numbers, k1_pdiff_3(2, 2, B), k1_pdiff_3(2, 2, C)), A) & k10_pdiff_1(2, 2, k3_valued_1(k1_euclid(2), k1_numbers, k1_numbers, k1_pdiff_3(2, 2, B), k1_pdiff_3(2, 2, C)), A)=k2_xcmplx_0(k5_pdiff_3(B, A), k5_pdiff_3(C, A))) ) ) ) ) ) ) ) ).
fof(t25_pdiff_3, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(2)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  ( (r1_pdiff_3(B, A) & r1_pdiff_3(C, A))  =>  (r3_pdiff_1(2, 1, k47_valued_1(k1_euclid(2), k1_numbers, k1_numbers, k1_pdiff_3(1, 2, B), k1_pdiff_3(1, 2, C)), A) & k10_pdiff_1(2, 1, k47_valued_1(k1_euclid(2), k1_numbers, k1_numbers, k1_pdiff_3(1, 2, B), k1_pdiff_3(1, 2, C)), A)=k6_xcmplx_0(k2_pdiff_3(B, A), k2_pdiff_3(C, A))) ) ) ) ) ) ) ) ).
fof(t26_pdiff_3, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(2)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  ( (r2_pdiff_3(B, A) & r2_pdiff_3(C, A))  =>  (r3_pdiff_1(2, 2, k47_valued_1(k1_euclid(2), k1_numbers, k1_numbers, k1_pdiff_3(1, 2, B), k1_pdiff_3(1, 2, C)), A) & k10_pdiff_1(2, 2, k47_valued_1(k1_euclid(2), k1_numbers, k1_numbers, k1_pdiff_3(1, 2, B), k1_pdiff_3(1, 2, C)), A)=k6_xcmplx_0(k3_pdiff_3(B, A), k3_pdiff_3(C, A))) ) ) ) ) ) ) ) ).
fof(t27_pdiff_3, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(2)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  ( (r3_pdiff_3(B, A) & r3_pdiff_3(C, A))  =>  (r3_pdiff_1(2, 1, k47_valued_1(k1_euclid(2), k1_numbers, k1_numbers, k1_pdiff_3(2, 2, B), k1_pdiff_3(2, 2, C)), A) & k10_pdiff_1(2, 1, k47_valued_1(k1_euclid(2), k1_numbers, k1_numbers, k1_pdiff_3(2, 2, B), k1_pdiff_3(2, 2, C)), A)=k6_xcmplx_0(k4_pdiff_3(B, A), k4_pdiff_3(C, A))) ) ) ) ) ) ) ) ).
fof(t28_pdiff_3, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(2)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  ( (r4_pdiff_3(B, A) & r4_pdiff_3(C, A))  =>  (r3_pdiff_1(2, 2, k47_valued_1(k1_euclid(2), k1_numbers, k1_numbers, k1_pdiff_3(2, 2, B), k1_pdiff_3(2, 2, C)), A) & k10_pdiff_1(2, 2, k47_valued_1(k1_euclid(2), k1_numbers, k1_numbers, k1_pdiff_3(2, 2, B), k1_pdiff_3(2, 2, C)), A)=k6_xcmplx_0(k5_pdiff_3(B, A), k5_pdiff_3(C, A))) ) ) ) ) ) ) ) ).
fof(t29_pdiff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(2)) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (r1_pdiff_3(C, B) =>  (r3_pdiff_1(2, 1, k26_valued_1(k1_euclid(2), k1_numbers, k1_pdiff_3(1, 2, C), A), B) & k10_pdiff_1(2, 1, k26_valued_1(k1_euclid(2), k1_numbers, k1_pdiff_3(1, 2, C), A), B)=k3_xcmplx_0(A, k2_pdiff_3(C, B))) ) ) ) ) ) ) ) ).
fof(t30_pdiff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(2)) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (r2_pdiff_3(C, B) =>  (r3_pdiff_1(2, 2, k26_valued_1(k1_euclid(2), k1_numbers, k1_pdiff_3(1, 2, C), A), B) & k10_pdiff_1(2, 2, k26_valued_1(k1_euclid(2), k1_numbers, k1_pdiff_3(1, 2, C), A), B)=k3_xcmplx_0(A, k3_pdiff_3(C, B))) ) ) ) ) ) ) ) ).
fof(t31_pdiff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(2)) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (r3_pdiff_3(C, B) =>  (r3_pdiff_1(2, 1, k26_valued_1(k1_euclid(2), k1_numbers, k1_pdiff_3(2, 2, C), A), B) & k10_pdiff_1(2, 1, k26_valued_1(k1_euclid(2), k1_numbers, k1_pdiff_3(2, 2, C), A), B)=k3_xcmplx_0(A, k4_pdiff_3(C, B))) ) ) ) ) ) ) ) ).
fof(t32_pdiff_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(2)) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (r4_pdiff_3(C, B) =>  (r3_pdiff_1(2, 2, k26_valued_1(k1_euclid(2), k1_numbers, k1_pdiff_3(2, 2, C), A), B) & k10_pdiff_1(2, 2, k26_valued_1(k1_euclid(2), k1_numbers, k1_pdiff_3(2, 2, C), A), B)=k3_xcmplx_0(A, k5_pdiff_3(C, B))) ) ) ) ) ) ) ) ).
fof(t33_pdiff_3, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(2)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  ( (r1_pdiff_3(B, A) & r1_pdiff_3(C, A))  => r3_pdiff_1(2, 1, k20_valued_1(k1_euclid(2), k1_numbers, k1_numbers, k1_pdiff_3(1, 2, B), k1_pdiff_3(1, 2, C)), A)) ) ) ) ) ) ) ).
fof(t34_pdiff_3, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(2)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  ( (r2_pdiff_3(B, A) & r2_pdiff_3(C, A))  => r3_pdiff_1(2, 2, k20_valued_1(k1_euclid(2), k1_numbers, k1_numbers, k1_pdiff_3(1, 2, B), k1_pdiff_3(1, 2, C)), A)) ) ) ) ) ) ) ).
fof(t35_pdiff_3, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(2)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  ( (r3_pdiff_3(B, A) & r3_pdiff_3(C, A))  => r3_pdiff_1(2, 1, k20_valued_1(k1_euclid(2), k1_numbers, k1_numbers, k1_pdiff_3(2, 2, B), k1_pdiff_3(2, 2, C)), A)) ) ) ) ) ) ) ).
fof(t36_pdiff_3, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(2)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  ( (r4_pdiff_3(B, A) & r4_pdiff_3(C, A))  => r3_pdiff_1(2, 2, k20_valued_1(k1_euclid(2), k1_numbers, k1_numbers, k1_pdiff_3(2, 2, B), k1_pdiff_3(2, 2, C)), A)) ) ) ) ) ) ) ).
fof(t37_pdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(2)) =>  (r1_pdiff_3(A, B) => r1_fcont_1(k1_pdiff_2(2, 1, k1_pdiff_3(1, 2, A), B), k3_funct_2(k1_euclid(2), k1_numbers, k1_pdiff_1(1, 2), B))) ) ) ) ) ).
fof(t38_pdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(2)) =>  (r2_pdiff_3(A, B) => r1_fcont_1(k1_pdiff_2(2, 2, k1_pdiff_3(1, 2, A), B), k3_funct_2(k1_euclid(2), k1_numbers, k1_pdiff_1(2, 2), B))) ) ) ) ) ).
fof(t39_pdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(2)) =>  (r3_pdiff_3(A, B) => r1_fcont_1(k1_pdiff_2(2, 1, k1_pdiff_3(2, 2, A), B), k3_funct_2(k1_euclid(2), k1_numbers, k1_pdiff_1(1, 2), B))) ) ) ) ) ).
fof(t40_pdiff_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(2)) =>  (r4_pdiff_3(A, B) => r1_fcont_1(k1_pdiff_2(2, 2, k1_pdiff_3(2, 2, A), B), k3_funct_2(k1_euclid(2), k1_numbers, k1_pdiff_1(2, 2), B))) ) ) ) ) ).
fof(dt_k1_pdiff_3, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k4_ordinal1) &  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B), k1_numbers)))) ) )  =>  (v1_funct_1(k1_pdiff_3(A, B, C)) &  (v1_funct_2(k1_pdiff_3(A, B, C), k1_euclid(B), k1_numbers) & m1_subset_1(k1_pdiff_3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B), k1_numbers)))) ) ) ) ).
fof(dt_k2_pdiff_3, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  & m1_subset_1(B, k1_euclid(2)))  => v1_xreal_0(k2_pdiff_3(A, B))) ) ).
fof(dt_k3_pdiff_3, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  & m1_subset_1(B, k1_euclid(2)))  => v1_xreal_0(k3_pdiff_3(A, B))) ) ).
fof(dt_k4_pdiff_3, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  & m1_subset_1(B, k1_euclid(2)))  => v1_xreal_0(k4_pdiff_3(A, B))) ) ).
fof(dt_k5_pdiff_3, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  & m1_subset_1(B, k1_euclid(2)))  => v1_xreal_0(k5_pdiff_3(A, B))) ) ).
fof(dt_k6_pdiff_3, axiom,  (! [A, B] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (v1_funct_1(k6_pdiff_3(A, B)) & m1_subset_1(k6_pdiff_3(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers)))) ) ) ).
fof(dt_k7_pdiff_3, axiom,  (! [A, B] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (v1_funct_1(k7_pdiff_3(A, B)) & m1_subset_1(k7_pdiff_3(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers)))) ) ) ).
fof(dt_k8_pdiff_3, axiom,  (! [A, B] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (v1_funct_1(k8_pdiff_3(A, B)) & m1_subset_1(k8_pdiff_3(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers)))) ) ) ).
fof(dt_k9_pdiff_3, axiom,  (! [A, B] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers))))  =>  (v1_funct_1(k9_pdiff_3(A, B)) & m1_subset_1(k9_pdiff_3(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2), k1_numbers)))) ) ) ).
fof(t1_pdiff_4, axiom,  (k1_relset_1(k1_euclid(3), k1_pdiff_1(1, 3))=k1_euclid(3) &  (k1_rvsum_1(k1_pdiff_1(1, 3))=k1_numbers &  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) => k1_funct_1(k1_pdiff_1(1, 3), k11_finseq_1(A, B, C))=A) ) ) ) ) ) ) ) ).
fof(t2_pdiff_4, axiom,  (k1_relset_1(k1_euclid(3), k1_pdiff_1(2, 3))=k1_euclid(3) &  (k1_rvsum_1(k1_pdiff_1(2, 3))=k1_numbers &  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) => k1_funct_1(k1_pdiff_1(2, 3), k11_finseq_1(A, B, C))=B) ) ) ) ) ) ) ) ).
fof(t3_pdiff_4, axiom,  (k1_relset_1(k1_euclid(3), k1_pdiff_1(3, 3))=k1_euclid(3) &  (k1_rvsum_1(k1_pdiff_1(3, 3))=k1_numbers &  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) => k1_funct_1(k1_pdiff_1(3, 3), k11_finseq_1(A, B, C))=C) ) ) ) ) ) ) ) ).
fof(t4_pdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (D=k11_finseq_1(A, B, C) & r3_pdiff_1(3, 1, E, D))  => r1_fdiff_1(k1_pdiff_2(3, 1, E, D), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_pdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (D=k11_finseq_1(A, B, C) & r3_pdiff_1(3, 2, E, D))  => r1_fdiff_1(k1_pdiff_2(3, 2, E, D), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_pdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (D=k11_finseq_1(A, B, C) & r3_pdiff_1(3, 3, E, D))  => r1_fdiff_1(k1_pdiff_2(3, 3, E, D), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_pdiff_4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  ( (? [C] :  (v1_xreal_0(C) &  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (B=k11_finseq_1(C, D, E) & r1_fdiff_1(k1_pdiff_2(3, 1, A, B), C)) ) ) ) ) ) )  <=> r3_pdiff_1(3, 1, A, B)) ) ) ) ) ).
fof(t8_pdiff_4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  ( (? [C] :  (v1_xreal_0(C) &  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (B=k11_finseq_1(C, D, E) & r1_fdiff_1(k1_pdiff_2(3, 2, A, B), D)) ) ) ) ) ) )  <=> r3_pdiff_1(3, 2, A, B)) ) ) ) ) ).
fof(t9_pdiff_4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  ( (? [C] :  (v1_xreal_0(C) &  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (B=k11_finseq_1(C, D, E) & r1_fdiff_1(k1_pdiff_2(3, 3, A, B), E)) ) ) ) ) ) )  <=> r3_pdiff_1(3, 3, A, B)) ) ) ) ) ).
fof(t10_pdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ~ ( (D=k11_finseq_1(A, B, C) &  (r3_pdiff_1(3, 1, E, D) &  (! [F] :  (m1_rcomp_1(F, A) =>  ~ ( (r1_tarski(F, k1_relset_1(k1_numbers, k1_pdiff_2(3, 1, E, D))) &  (? [G] :  ( (v1_funct_1(G) &  (v3_fdiff_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [H] :  ( (v1_funct_1(H) &  (v2_fdiff_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (! [I] :  (v1_xreal_0(I) =>  (r2_hidden(I, F) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3, 1, E, D), I), k1_funct_1(k1_pdiff_2(3, 1, E, D), A))=k2_xcmplx_0(k1_funct_1(G, k6_xcmplx_0(I, A)), k1_funct_1(H, k6_xcmplx_0(I, A)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_pdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ~ ( (D=k11_finseq_1(A, B, C) &  (r3_pdiff_1(3, 2, E, D) &  (! [F] :  (m1_rcomp_1(F, B) =>  ~ ( (r1_tarski(F, k1_relset_1(k1_numbers, k1_pdiff_2(3, 2, E, D))) &  (? [G] :  ( (v1_funct_1(G) &  (v3_fdiff_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [H] :  ( (v1_funct_1(H) &  (v2_fdiff_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (! [I] :  (v1_xreal_0(I) =>  (r2_hidden(I, F) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3, 2, E, D), I), k1_funct_1(k1_pdiff_2(3, 2, E, D), B))=k2_xcmplx_0(k1_funct_1(G, k6_xcmplx_0(I, B)), k1_funct_1(H, k6_xcmplx_0(I, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_pdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ~ ( (D=k11_finseq_1(A, B, C) &  (r3_pdiff_1(3, 3, E, D) &  (! [F] :  (m1_rcomp_1(F, C) =>  ~ ( (r1_tarski(F, k1_relset_1(k1_numbers, k1_pdiff_2(3, 3, E, D))) &  (? [G] :  ( (v1_funct_1(G) &  (v3_fdiff_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [H] :  ( (v1_funct_1(H) &  (v2_fdiff_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (! [I] :  (v1_xreal_0(I) =>  (r2_hidden(I, F) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3, 3, E, D), I), k1_funct_1(k1_pdiff_2(3, 3, E, D), C))=k2_xcmplx_0(k1_funct_1(G, k6_xcmplx_0(I, C)), k1_funct_1(H, k6_xcmplx_0(I, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_pdiff_4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (r3_pdiff_1(3, 1, A, B) <=>  (? [C] :  (v1_xreal_0(C) &  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (B=k11_finseq_1(C, D, E) &  (? [F] :  (m1_rcomp_1(F, C) &  (r1_tarski(F, k1_relset_1(k1_numbers, k1_pdiff_2(3, 1, A, B))) &  (? [G] :  ( (v1_funct_1(G) &  (v3_fdiff_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [H] :  ( (v1_funct_1(H) &  (v2_fdiff_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (! [I] :  (v1_xreal_0(I) =>  (r2_hidden(I, F) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3, 1, A, B), I), k1_funct_1(k1_pdiff_2(3, 1, A, B), C))=k2_xcmplx_0(k1_funct_1(G, k6_xcmplx_0(I, C)), k1_funct_1(H, k6_xcmplx_0(I, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_pdiff_4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (r3_pdiff_1(3, 2, A, B) <=>  (? [C] :  (v1_xreal_0(C) &  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (B=k11_finseq_1(C, D, E) &  (? [F] :  (m1_rcomp_1(F, D) &  (r1_tarski(F, k1_relset_1(k1_numbers, k1_pdiff_2(3, 2, A, B))) &  (? [G] :  ( (v1_funct_1(G) &  (v3_fdiff_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [H] :  ( (v1_funct_1(H) &  (v2_fdiff_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (! [I] :  (v1_xreal_0(I) =>  (r2_hidden(I, F) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3, 2, A, B), I), k1_funct_1(k1_pdiff_2(3, 2, A, B), D))=k2_xcmplx_0(k1_funct_1(G, k6_xcmplx_0(I, D)), k1_funct_1(H, k6_xcmplx_0(I, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_pdiff_4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (r3_pdiff_1(3, 3, A, B) <=>  (? [C] :  (v1_xreal_0(C) &  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (B=k11_finseq_1(C, D, E) &  (? [F] :  (m1_rcomp_1(F, E) &  (r1_tarski(F, k1_relset_1(k1_numbers, k1_pdiff_2(3, 3, A, B))) &  (? [G] :  ( (v1_funct_1(G) &  (v3_fdiff_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [H] :  ( (v1_funct_1(H) &  (v2_fdiff_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (! [I] :  (v1_xreal_0(I) =>  (r2_hidden(I, F) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3, 3, A, B), I), k1_funct_1(k1_pdiff_2(3, 3, A, B), E))=k2_xcmplx_0(k1_funct_1(G, k6_xcmplx_0(I, E)), k1_funct_1(H, k6_xcmplx_0(I, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_pdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(3)) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (E=k11_finseq_1(A, B, C) & r3_pdiff_1(3, 1, F, E))  =>  (D=k10_pdiff_1(3, 1, F, E) <=>  (? [G] :  (v1_xreal_0(G) &  (? [H] :  (v1_xreal_0(H) &  (? [I] :  (v1_xreal_0(I) &  (E=k11_finseq_1(G, H, I) &  (? [J] :  (m1_rcomp_1(J, G) &  (r1_tarski(J, k1_relset_1(k1_numbers, k1_pdiff_2(3, 1, F, E))) &  (? [K] :  ( (v1_funct_1(K) &  (v3_fdiff_1(K) & m1_subset_1(K, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [L] :  ( (v1_funct_1(L) &  (v2_fdiff_1(L) & m1_subset_1(L, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (D=k1_funct_1(K, 1) &  (! [M] :  (v1_xreal_0(M) =>  (r2_hidden(M, J) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3, 1, F, E), M), k1_funct_1(k1_pdiff_2(3, 1, F, E), G))=k2_xcmplx_0(k1_funct_1(K, k6_xcmplx_0(M, G)), k1_funct_1(L, k6_xcmplx_0(M, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_pdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(3)) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (E=k11_finseq_1(A, B, C) & r3_pdiff_1(3, 2, F, E))  =>  (D=k10_pdiff_1(3, 2, F, E) <=>  (? [G] :  (v1_xreal_0(G) &  (? [H] :  (v1_xreal_0(H) &  (? [I] :  (v1_xreal_0(I) &  (E=k11_finseq_1(G, H, I) &  (? [J] :  (m1_rcomp_1(J, H) &  (r1_tarski(J, k1_relset_1(k1_numbers, k1_pdiff_2(3, 2, F, E))) &  (? [K] :  ( (v1_funct_1(K) &  (v3_fdiff_1(K) & m1_subset_1(K, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [L] :  ( (v1_funct_1(L) &  (v2_fdiff_1(L) & m1_subset_1(L, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (D=k1_funct_1(K, 1) &  (! [M] :  (v1_xreal_0(M) =>  (r2_hidden(M, J) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3, 2, F, E), M), k1_funct_1(k1_pdiff_2(3, 2, F, E), H))=k2_xcmplx_0(k1_funct_1(K, k6_xcmplx_0(M, H)), k1_funct_1(L, k6_xcmplx_0(M, H)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_pdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(3)) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (E=k11_finseq_1(A, B, C) & r3_pdiff_1(3, 3, F, E))  =>  (D=k10_pdiff_1(3, 3, F, E) <=>  (? [G] :  (v1_xreal_0(G) &  (? [H] :  (v1_xreal_0(H) &  (? [I] :  (v1_xreal_0(I) &  (E=k11_finseq_1(G, H, I) &  (? [J] :  (m1_rcomp_1(J, I) &  (r1_tarski(J, k1_relset_1(k1_numbers, k1_pdiff_2(3, 3, F, E))) &  (? [K] :  ( (v1_funct_1(K) &  (v3_fdiff_1(K) & m1_subset_1(K, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [L] :  ( (v1_funct_1(L) &  (v2_fdiff_1(L) & m1_subset_1(L, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (D=k1_funct_1(K, 1) &  (! [M] :  (v1_xreal_0(M) =>  (r2_hidden(M, J) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3, 3, F, E), M), k1_funct_1(k1_pdiff_2(3, 3, F, E), I))=k2_xcmplx_0(k1_funct_1(K, k6_xcmplx_0(M, I)), k1_funct_1(L, k6_xcmplx_0(M, I)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_pdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (D=k11_finseq_1(A, B, C) => k10_pdiff_1(3, 1, E, D)=k1_fdiff_1(k1_pdiff_2(3, 1, E, D), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_pdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (D=k11_finseq_1(A, B, C) => k10_pdiff_1(3, 2, E, D)=k1_fdiff_1(k1_pdiff_2(3, 2, E, D), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_pdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (D=k11_finseq_1(A, B, C) => k10_pdiff_1(3, 3, E, D)=k1_fdiff_1(k1_pdiff_2(3, 3, E, D), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_pdiff_4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (r1_pdiff_4(A, B) <=>  (r1_tarski(B, k1_relset_1(k1_euclid(3), A)) &  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(3)) =>  (r2_tarski(C, B) => r3_pdiff_1(3, 1, k2_partfun1(k1_euclid(3), k1_numbers, A, B), C)) ) ) ) ) ) ) ) ).
fof(d2_pdiff_4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (r2_pdiff_4(A, B) <=>  (r1_tarski(B, k1_relset_1(k1_euclid(3), A)) &  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(3)) =>  (r2_tarski(C, B) => r3_pdiff_1(3, 2, k2_partfun1(k1_euclid(3), k1_numbers, A, B), C)) ) ) ) ) ) ) ) ).
fof(d3_pdiff_4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (r3_pdiff_4(A, B) <=>  (r1_tarski(B, k1_relset_1(k1_euclid(3), A)) &  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(3)) =>  (r2_tarski(C, B) => r3_pdiff_1(3, 3, k2_partfun1(k1_euclid(3), k1_numbers, A, B), C)) ) ) ) ) ) ) ) ).
fof(t22_pdiff_4, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (r1_pdiff_4(B, A) =>  (r1_tarski(A, k1_relset_1(k1_euclid(3), B)) &  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(3)) =>  (r2_tarski(C, A) => r3_pdiff_1(3, 1, B, C)) ) ) ) ) ) ) ) ).
fof(t23_pdiff_4, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (r2_pdiff_4(B, A) =>  (r1_tarski(A, k1_relset_1(k1_euclid(3), B)) &  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(3)) =>  (r2_tarski(C, A) => r3_pdiff_1(3, 2, B, C)) ) ) ) ) ) ) ) ).
fof(t24_pdiff_4, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (r3_pdiff_4(B, A) =>  (r1_tarski(A, k1_relset_1(k1_euclid(3), B)) &  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(3)) =>  (r2_tarski(C, A) => r3_pdiff_1(3, 3, B, C)) ) ) ) ) ) ) ) ).
fof(d4_pdiff_4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (r1_pdiff_4(A, B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (C=k1_pdiff_4(A, B) <=>  (k1_relset_1(k1_euclid(3), C)=B &  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (r2_tarski(D, B) => k1_funct_1(C, D)=k10_pdiff_1(3, 1, A, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_pdiff_4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (r2_pdiff_4(A, B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (C=k2_pdiff_4(A, B) <=>  (k1_relset_1(k1_euclid(3), C)=B &  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (r2_tarski(D, B) => k1_funct_1(C, D)=k10_pdiff_1(3, 2, A, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_pdiff_4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (r3_pdiff_4(A, B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (C=k3_pdiff_4(A, B) <=>  (k1_relset_1(k1_euclid(3), C)=B &  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (r2_tarski(D, B) => k1_funct_1(C, D)=k10_pdiff_1(3, 3, A, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_pdiff_4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  (m1_rcomp_1(C, k3_funct_2(k1_euclid(3), k1_numbers, k1_pdiff_1(1, 3), B)) =>  ( (r3_pdiff_1(3, 1, A, B) & r1_tarski(C, k1_relset_1(k1_numbers, k1_pdiff_2(3, 1, A, B))))  =>  (! [D] :  ( (v9_ordinal1(D) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(D, k5_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v3_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (k1_rvsum_1(E)=k1_tarski(k3_funct_2(k1_euclid(3), k1_numbers, k1_pdiff_1(1, 3), B)) & r1_tarski(k1_rvsum_1(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E)), C))  =>  (v2_comseq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), k1_pdiff_2(3, 1, A, B)), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, k1_pdiff_2(3, 1, A, B))))) & k10_pdiff_1(3, 1, A, B)=k1_seq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), k1_pdiff_2(3, 1, A, B)), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, k1_pdiff_2(3, 1, A, B)))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_pdiff_4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  (m1_rcomp_1(C, k3_funct_2(k1_euclid(3), k1_numbers, k1_pdiff_1(2, 3), B)) =>  ( (r3_pdiff_1(3, 2, A, B) & r1_tarski(C, k1_relset_1(k1_numbers, k1_pdiff_2(3, 2, A, B))))  =>  (! [D] :  ( (v9_ordinal1(D) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(D, k5_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v3_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (k1_rvsum_1(E)=k1_tarski(k3_funct_2(k1_euclid(3), k1_numbers, k1_pdiff_1(2, 3), B)) & r1_tarski(k1_rvsum_1(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E)), C))  =>  (v2_comseq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), k1_pdiff_2(3, 2, A, B)), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, k1_pdiff_2(3, 2, A, B))))) & k10_pdiff_1(3, 2, A, B)=k1_seq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), k1_pdiff_2(3, 2, A, B)), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, k1_pdiff_2(3, 2, A, B)))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_pdiff_4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  (m1_rcomp_1(C, k3_funct_2(k1_euclid(3), k1_numbers, k1_pdiff_1(3, 3), B)) =>  ( (r3_pdiff_1(3, 3, A, B) & r1_tarski(C, k1_relset_1(k1_numbers, k1_pdiff_2(3, 3, A, B))))  =>  (! [D] :  ( (v9_ordinal1(D) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(D, k5_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v3_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (k1_rvsum_1(E)=k1_tarski(k3_funct_2(k1_euclid(3), k1_numbers, k1_pdiff_1(3, 3), B)) & r1_tarski(k1_rvsum_1(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E)), C))  =>  (v2_comseq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), k1_pdiff_2(3, 3, A, B)), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, k1_pdiff_2(3, 3, A, B))))) & k10_pdiff_1(3, 3, A, B)=k1_seq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), k1_pdiff_2(3, 3, A, B)), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, k1_pdiff_2(3, 3, A, B)))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_pdiff_4, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (r3_pdiff_1(3, 1, B, A) & r3_pdiff_1(3, 1, C, A))  => r3_pdiff_1(3, 1, k20_valued_1(k1_euclid(3), k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ).
fof(t29_pdiff_4, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (r3_pdiff_1(3, 2, B, A) & r3_pdiff_1(3, 2, C, A))  => r3_pdiff_1(3, 2, k20_valued_1(k1_euclid(3), k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ).
fof(t30_pdiff_4, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (r3_pdiff_1(3, 3, B, A) & r3_pdiff_1(3, 3, C, A))  => r3_pdiff_1(3, 3, k20_valued_1(k1_euclid(3), k1_numbers, k1_numbers, B, C), A)) ) ) ) ) ) ) ).
fof(t31_pdiff_4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (r3_pdiff_1(3, 1, A, B) => r1_fcont_1(k1_pdiff_2(3, 1, A, B), k3_funct_2(k1_euclid(3), k1_numbers, k1_pdiff_1(1, 3), B))) ) ) ) ) ).
fof(t32_pdiff_4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (r3_pdiff_1(3, 2, A, B) => r1_fcont_1(k1_pdiff_2(3, 2, A, B), k3_funct_2(k1_euclid(3), k1_numbers, k1_pdiff_1(2, 3), B))) ) ) ) ) ).
fof(t33_pdiff_4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (r3_pdiff_1(3, 3, A, B) => r1_fcont_1(k1_pdiff_2(3, 3, A, B), k3_funct_2(k1_euclid(3), k1_numbers, k1_pdiff_1(3, 3), B))) ) ) ) ) ).
fof(d7_pdiff_4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) => k4_pdiff_4(A, B)=k7_euclid(3, k7_euclid(3, k9_euclid(3, k2_euclid_8, k10_pdiff_1(3, 1, A, B)), k9_euclid(3, k3_euclid_8, k10_pdiff_1(3, 2, A, B))), k9_euclid(3, k4_euclid_8, k10_pdiff_1(3, 3, A, B)))) ) ) ) ).
fof(t34_pdiff_4, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  => k4_pdiff_4(B, A)=k1_euclid_8(k10_pdiff_1(3, 1, B, A), k10_pdiff_1(3, 2, B, A), k10_pdiff_1(3, 3, B, A))) ) ) ) ).
fof(t35_pdiff_4, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (r3_pdiff_1(3, 1, B, A) &  (r3_pdiff_1(3, 2, B, A) &  (r3_pdiff_1(3, 3, B, A) &  (r3_pdiff_1(3, 1, C, A) &  (r3_pdiff_1(3, 2, C, A) & r3_pdiff_1(3, 3, C, A)) ) ) ) )  => k4_pdiff_4(k3_valued_1(k1_euclid(3), k1_numbers, k1_numbers, B, C), A)=k7_euclid(3, k4_pdiff_4(B, A), k4_pdiff_4(C, A))) ) ) ) ) ) ) ).
fof(t36_pdiff_4, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (r3_pdiff_1(3, 1, B, A) &  (r3_pdiff_1(3, 2, B, A) &  (r3_pdiff_1(3, 3, B, A) &  (r3_pdiff_1(3, 1, C, A) &  (r3_pdiff_1(3, 2, C, A) & r3_pdiff_1(3, 3, C, A)) ) ) ) )  => k4_pdiff_4(k47_valued_1(k1_euclid(3), k1_numbers, k1_numbers, B, C), A)=k8_euclid(3, k4_pdiff_4(B, A), k4_pdiff_4(C, A))) ) ) ) ) ) ) ).
fof(t37_pdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (r3_pdiff_1(3, 1, C, B) &  (r3_pdiff_1(3, 2, C, B) & r3_pdiff_1(3, 3, C, B)) )  => k4_pdiff_4(k26_valued_1(k1_euclid(3), k1_numbers, C, A), B)=k9_euclid(3, k4_pdiff_4(C, B), A)) ) ) ) ) ) ) ).
fof(t38_pdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(3)) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (r3_pdiff_1(3, 1, D, C) &  (r3_pdiff_1(3, 2, D, C) &  (r3_pdiff_1(3, 3, D, C) &  (r3_pdiff_1(3, 1, E, C) &  (r3_pdiff_1(3, 2, E, C) & r3_pdiff_1(3, 3, E, C)) ) ) ) )  => k4_pdiff_4(k3_valued_1(k1_euclid(3), k1_numbers, k1_numbers, k26_valued_1(k1_euclid(3), k1_numbers, D, A), k26_valued_1(k1_euclid(3), k1_numbers, E, B)), C)=k7_euclid(3, k9_euclid(3, k4_pdiff_4(D, C), A), k9_euclid(3, k4_pdiff_4(E, C), B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_pdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(3)) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (r3_pdiff_1(3, 1, D, C) &  (r3_pdiff_1(3, 2, D, C) &  (r3_pdiff_1(3, 3, D, C) &  (r3_pdiff_1(3, 1, E, C) &  (r3_pdiff_1(3, 2, E, C) & r3_pdiff_1(3, 3, E, C)) ) ) ) )  => k4_pdiff_4(k47_valued_1(k1_euclid(3), k1_numbers, k1_numbers, k26_valued_1(k1_euclid(3), k1_numbers, D, A), k26_valued_1(k1_euclid(3), k1_numbers, E, B)), C)=k8_euclid(3, k9_euclid(3, k4_pdiff_4(D, C), A), k9_euclid(3, k4_pdiff_4(E, C), B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_pdiff_4, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (v1_partfun1(B, k1_euclid(3)) & v3_funct_1(B))  => k4_pdiff_4(B, A)=k16_euclid(3)) ) ) ) ) ).
fof(d8_pdiff_4, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) => k5_pdiff_4(A)=k1_euclid_8(k7_xcmplx_0(k1_funct_1(A, 1), k3_square_1(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(k1_funct_1(A, 1)), k1_square_1(k1_funct_1(A, 2))), k1_square_1(k1_funct_1(A, 3))))), k7_xcmplx_0(k1_funct_1(A, 2), k3_square_1(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(k1_funct_1(A, 1)), k1_square_1(k1_funct_1(A, 2))), k1_square_1(k1_funct_1(A, 3))))), k7_xcmplx_0(k1_funct_1(A, 3), k3_square_1(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(k1_funct_1(A, 1)), k1_square_1(k1_funct_1(A, 2))), k1_square_1(k1_funct_1(A, 3))))))) ) ).
fof(d9_pdiff_4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(3)) => k6_pdiff_4(A, B, C)=k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k10_pdiff_1(3, 1, A, B), k1_funct_1(k5_pdiff_4(C), 1)), k3_xcmplx_0(k10_pdiff_1(3, 2, A, B), k1_funct_1(k5_pdiff_4(C), 2))), k3_xcmplx_0(k10_pdiff_1(3, 3, A, B), k1_funct_1(k5_pdiff_4(C), 3)))) ) ) ) ) ) ).
fof(t41_pdiff_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(3)) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (E=k11_finseq_1(A, B, C) => k6_pdiff_4(F, D, E)=k2_xcmplx_0(k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k10_pdiff_1(3, 1, F, D), A), k3_square_1(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(A), k1_square_1(B)), k1_square_1(C)))), k7_xcmplx_0(k3_xcmplx_0(k10_pdiff_1(3, 2, F, D), B), k3_square_1(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(A), k1_square_1(B)), k1_square_1(C))))), k7_xcmplx_0(k3_xcmplx_0(k10_pdiff_1(3, 3, F, D), C), k3_square_1(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(A), k1_square_1(B)), k1_square_1(C)))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_pdiff_4, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  => k6_pdiff_4(C, A, B)=k22_rvsum_1(k4_pdiff_4(C, A), k5_pdiff_4(B))) ) ) ) ) ) ).
fof(d10_pdiff_4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) => k7_pdiff_4(A, B, C, D)=k7_euclid(3, k7_euclid(3, k9_euclid(3, k2_euclid_8, k6_xcmplx_0(k10_pdiff_1(3, 2, C, D), k10_pdiff_1(3, 3, B, D))), k9_euclid(3, k3_euclid_8, k6_xcmplx_0(k10_pdiff_1(3, 3, A, D), k10_pdiff_1(3, 1, C, D)))), k9_euclid(3, k4_euclid_8, k6_xcmplx_0(k10_pdiff_1(3, 1, B, D), k10_pdiff_1(3, 2, A, D))))) ) ) ) ) ) ) ) ).
fof(t43_pdiff_4, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  => k7_pdiff_4(B, C, D, A)=k1_euclid_8(k6_xcmplx_0(k10_pdiff_1(3, 2, D, A), k10_pdiff_1(3, 3, C, A)), k6_xcmplx_0(k10_pdiff_1(3, 3, B, A), k10_pdiff_1(3, 1, D, A)), k6_xcmplx_0(k10_pdiff_1(3, 1, C, A), k10_pdiff_1(3, 2, B, A)))) ) ) ) ) ) ) ) ).
fof(dt_k1_pdiff_4, axiom,  (! [A, B] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (v1_funct_1(k1_pdiff_4(A, B)) & m1_subset_1(k1_pdiff_4(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers)))) ) ) ).
fof(dt_k2_pdiff_4, axiom,  (! [A, B] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (v1_funct_1(k2_pdiff_4(A, B)) & m1_subset_1(k2_pdiff_4(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers)))) ) ) ).
fof(dt_k3_pdiff_4, axiom,  (! [A, B] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (v1_funct_1(k3_pdiff_4(A, B)) & m1_subset_1(k3_pdiff_4(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers)))) ) ) ).
fof(dt_k4_pdiff_4, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  & m1_subset_1(B, k1_euclid(3)))  => m2_finseq_2(k4_pdiff_4(A, B), k1_numbers, k1_euclid(3))) ) ).
fof(dt_k5_pdiff_4, axiom,  (! [A] :  (m1_subset_1(A, k1_euclid(3)) => m2_finseq_2(k5_pdiff_4(A), k1_numbers, k1_euclid(3))) ) ).
fof(dt_k6_pdiff_4, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  &  (m1_subset_1(B, k1_euclid(3)) & m1_subset_1(C, k1_euclid(3))) )  => v1_xreal_0(k6_pdiff_4(A, B, C))) ) ).
fof(dt_k7_pdiff_4, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  & m1_subset_1(D, k1_euclid(3))) ) )  => m2_finseq_2(k7_pdiff_4(A, B, C, D), k1_numbers, k1_euclid(3))) ) ).
fof(d1_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (r1_pdiff_5(A, B) <=>  (? [C] :  (v1_xreal_0(C) &  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (B=k11_finseq_1(C, D, E) &  (? [F] :  (m1_rcomp_1(F, C) &  (r1_tarski(F, k1_relset_1(k1_numbers, k1_pdiff_2(3, 1, k1_pdiff_3(1, 3, A), B))) &  (? [G] :  ( (v1_funct_1(G) &  (v3_fdiff_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [H] :  ( (v1_funct_1(H) &  (v2_fdiff_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (! [I] :  (v1_xreal_0(I) =>  (r2_hidden(I, F) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3, 1, k1_pdiff_3(1, 3, A), B), I), k1_funct_1(k1_pdiff_2(3, 1, k1_pdiff_3(1, 3, A), B), C))=k2_xcmplx_0(k1_funct_1(G, k6_xcmplx_0(I, C)), k1_funct_1(H, k6_xcmplx_0(I, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (r2_pdiff_5(A, B) <=>  (? [C] :  (v1_xreal_0(C) &  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (B=k11_finseq_1(C, D, E) &  (? [F] :  (m1_rcomp_1(F, D) &  (r1_tarski(F, k1_relset_1(k1_numbers, k1_pdiff_2(3, 2, k1_pdiff_3(1, 3, A), B))) &  (? [G] :  ( (v1_funct_1(G) &  (v3_fdiff_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [H] :  ( (v1_funct_1(H) &  (v2_fdiff_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (! [I] :  (v1_xreal_0(I) =>  (r2_hidden(I, F) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3, 2, k1_pdiff_3(1, 3, A), B), I), k1_funct_1(k1_pdiff_2(3, 2, k1_pdiff_3(1, 3, A), B), D))=k2_xcmplx_0(k1_funct_1(G, k6_xcmplx_0(I, D)), k1_funct_1(H, k6_xcmplx_0(I, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (r3_pdiff_5(A, B) <=>  (? [C] :  (v1_xreal_0(C) &  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (B=k11_finseq_1(C, D, E) &  (? [F] :  (m1_rcomp_1(F, E) &  (r1_tarski(F, k1_relset_1(k1_numbers, k1_pdiff_2(3, 3, k1_pdiff_3(1, 3, A), B))) &  (? [G] :  ( (v1_funct_1(G) &  (v3_fdiff_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [H] :  ( (v1_funct_1(H) &  (v2_fdiff_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (! [I] :  (v1_xreal_0(I) =>  (r2_hidden(I, F) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3, 3, k1_pdiff_3(1, 3, A), B), I), k1_funct_1(k1_pdiff_2(3, 3, k1_pdiff_3(1, 3, A), B), E))=k2_xcmplx_0(k1_funct_1(G, k6_xcmplx_0(I, E)), k1_funct_1(H, k6_xcmplx_0(I, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (r4_pdiff_5(A, B) <=>  (? [C] :  (v1_xreal_0(C) &  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (B=k11_finseq_1(C, D, E) &  (? [F] :  (m1_rcomp_1(F, C) &  (r1_tarski(F, k1_relset_1(k1_numbers, k1_pdiff_2(3, 1, k1_pdiff_3(2, 3, A), B))) &  (? [G] :  ( (v1_funct_1(G) &  (v3_fdiff_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [H] :  ( (v1_funct_1(H) &  (v2_fdiff_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (! [I] :  (v1_xreal_0(I) =>  (r2_hidden(I, F) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3, 1, k1_pdiff_3(2, 3, A), B), I), k1_funct_1(k1_pdiff_2(3, 1, k1_pdiff_3(2, 3, A), B), C))=k2_xcmplx_0(k1_funct_1(G, k6_xcmplx_0(I, C)), k1_funct_1(H, k6_xcmplx_0(I, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (r5_pdiff_5(A, B) <=>  (? [C] :  (v1_xreal_0(C) &  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (B=k11_finseq_1(C, D, E) &  (? [F] :  (m1_rcomp_1(F, D) &  (r1_tarski(F, k1_relset_1(k1_numbers, k1_pdiff_2(3, 2, k1_pdiff_3(2, 3, A), B))) &  (? [G] :  ( (v1_funct_1(G) &  (v3_fdiff_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [H] :  ( (v1_funct_1(H) &  (v2_fdiff_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (! [I] :  (v1_xreal_0(I) =>  (r2_hidden(I, F) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3, 2, k1_pdiff_3(2, 3, A), B), I), k1_funct_1(k1_pdiff_2(3, 2, k1_pdiff_3(2, 3, A), B), D))=k2_xcmplx_0(k1_funct_1(G, k6_xcmplx_0(I, D)), k1_funct_1(H, k6_xcmplx_0(I, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (r6_pdiff_5(A, B) <=>  (? [C] :  (v1_xreal_0(C) &  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (B=k11_finseq_1(C, D, E) &  (? [F] :  (m1_rcomp_1(F, E) &  (r1_tarski(F, k1_relset_1(k1_numbers, k1_pdiff_2(3, 3, k1_pdiff_3(2, 3, A), B))) &  (? [G] :  ( (v1_funct_1(G) &  (v3_fdiff_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [H] :  ( (v1_funct_1(H) &  (v2_fdiff_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (! [I] :  (v1_xreal_0(I) =>  (r2_hidden(I, F) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3, 3, k1_pdiff_3(2, 3, A), B), I), k1_funct_1(k1_pdiff_2(3, 3, k1_pdiff_3(2, 3, A), B), E))=k2_xcmplx_0(k1_funct_1(G, k6_xcmplx_0(I, E)), k1_funct_1(H, k6_xcmplx_0(I, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (r7_pdiff_5(A, B) <=>  (? [C] :  (v1_xreal_0(C) &  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (B=k11_finseq_1(C, D, E) &  (? [F] :  (m1_rcomp_1(F, C) &  (r1_tarski(F, k1_relset_1(k1_numbers, k1_pdiff_2(3, 1, k1_pdiff_3(3, 3, A), B))) &  (? [G] :  ( (v1_funct_1(G) &  (v3_fdiff_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [H] :  ( (v1_funct_1(H) &  (v2_fdiff_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (! [I] :  (v1_xreal_0(I) =>  (r2_hidden(I, F) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3, 1, k1_pdiff_3(3, 3, A), B), I), k1_funct_1(k1_pdiff_2(3, 1, k1_pdiff_3(3, 3, A), B), C))=k2_xcmplx_0(k1_funct_1(G, k6_xcmplx_0(I, C)), k1_funct_1(H, k6_xcmplx_0(I, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (r8_pdiff_5(A, B) <=>  (? [C] :  (v1_xreal_0(C) &  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (B=k11_finseq_1(C, D, E) &  (? [F] :  (m1_rcomp_1(F, D) &  (r1_tarski(F, k1_relset_1(k1_numbers, k1_pdiff_2(3, 2, k1_pdiff_3(3, 3, A), B))) &  (? [G] :  ( (v1_funct_1(G) &  (v3_fdiff_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [H] :  ( (v1_funct_1(H) &  (v2_fdiff_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (! [I] :  (v1_xreal_0(I) =>  (r2_hidden(I, F) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3, 2, k1_pdiff_3(3, 3, A), B), I), k1_funct_1(k1_pdiff_2(3, 2, k1_pdiff_3(3, 3, A), B), D))=k2_xcmplx_0(k1_funct_1(G, k6_xcmplx_0(I, D)), k1_funct_1(H, k6_xcmplx_0(I, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (r9_pdiff_5(A, B) <=>  (? [C] :  (v1_xreal_0(C) &  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (B=k11_finseq_1(C, D, E) &  (? [F] :  (m1_rcomp_1(F, E) &  (r1_tarski(F, k1_relset_1(k1_numbers, k1_pdiff_2(3, 3, k1_pdiff_3(3, 3, A), B))) &  (? [G] :  ( (v1_funct_1(G) &  (v3_fdiff_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [H] :  ( (v1_funct_1(H) &  (v2_fdiff_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (! [I] :  (v1_xreal_0(I) =>  (r2_hidden(I, F) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3, 3, k1_pdiff_3(3, 3, A), B), I), k1_funct_1(k1_pdiff_2(3, 3, k1_pdiff_3(3, 3, A), B), E))=k2_xcmplx_0(k1_funct_1(G, k6_xcmplx_0(I, E)), k1_funct_1(H, k6_xcmplx_0(I, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (r1_pdiff_5(A, B) =>  (! [C] :  (v1_xreal_0(C) =>  (C=k1_pdiff_5(A, B) <=>  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (? [F] :  (v1_xreal_0(F) &  (B=k11_finseq_1(D, E, F) &  (? [G] :  (m1_rcomp_1(G, D) &  (r1_tarski(G, k1_relset_1(k1_numbers, k1_pdiff_2(3, 1, k1_pdiff_3(1, 3, A), B))) &  (? [H] :  ( (v1_funct_1(H) &  (v3_fdiff_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [I] :  ( (v1_funct_1(I) &  (v2_fdiff_1(I) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (C=k1_funct_1(H, 1) &  (! [J] :  (v1_xreal_0(J) =>  (r2_hidden(J, G) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3, 1, k1_pdiff_3(1, 3, A), B), J), k1_funct_1(k1_pdiff_2(3, 1, k1_pdiff_3(1, 3, A), B), D))=k2_xcmplx_0(k1_funct_1(H, k6_xcmplx_0(J, D)), k1_funct_1(I, k6_xcmplx_0(J, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (r2_pdiff_5(A, B) =>  (! [C] :  (v1_xreal_0(C) =>  (C=k2_pdiff_5(A, B) <=>  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (? [F] :  (v1_xreal_0(F) &  (B=k11_finseq_1(D, E, F) &  (? [G] :  (m1_rcomp_1(G, E) &  (r1_tarski(G, k1_relset_1(k1_numbers, k1_pdiff_2(3, 2, k1_pdiff_3(1, 3, A), B))) &  (? [H] :  ( (v1_funct_1(H) &  (v3_fdiff_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [I] :  ( (v1_funct_1(I) &  (v2_fdiff_1(I) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (C=k1_funct_1(H, 1) &  (! [J] :  (v1_xreal_0(J) =>  (r2_hidden(J, G) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3, 2, k1_pdiff_3(1, 3, A), B), J), k1_funct_1(k1_pdiff_2(3, 2, k1_pdiff_3(1, 3, A), B), E))=k2_xcmplx_0(k1_funct_1(H, k6_xcmplx_0(J, E)), k1_funct_1(I, k6_xcmplx_0(J, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (r3_pdiff_5(A, B) =>  (! [C] :  (v1_xreal_0(C) =>  (C=k3_pdiff_5(A, B) <=>  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (? [F] :  (v1_xreal_0(F) &  (B=k11_finseq_1(D, E, F) &  (? [G] :  (m1_rcomp_1(G, F) &  (r1_tarski(G, k1_relset_1(k1_numbers, k1_pdiff_2(3, 3, k1_pdiff_3(1, 3, A), B))) &  (? [H] :  ( (v1_funct_1(H) &  (v3_fdiff_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [I] :  ( (v1_funct_1(I) &  (v2_fdiff_1(I) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (C=k1_funct_1(H, 1) &  (! [J] :  (v1_xreal_0(J) =>  (r2_hidden(J, G) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3, 3, k1_pdiff_3(1, 3, A), B), J), k1_funct_1(k1_pdiff_2(3, 3, k1_pdiff_3(1, 3, A), B), F))=k2_xcmplx_0(k1_funct_1(H, k6_xcmplx_0(J, F)), k1_funct_1(I, k6_xcmplx_0(J, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (r4_pdiff_5(A, B) =>  (! [C] :  (v1_xreal_0(C) =>  (C=k4_pdiff_5(A, B) <=>  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (? [F] :  (v1_xreal_0(F) &  (B=k11_finseq_1(D, E, F) &  (? [G] :  (m1_rcomp_1(G, D) &  (r1_tarski(G, k1_relset_1(k1_numbers, k1_pdiff_2(3, 1, k1_pdiff_3(2, 3, A), B))) &  (? [H] :  ( (v1_funct_1(H) &  (v3_fdiff_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [I] :  ( (v1_funct_1(I) &  (v2_fdiff_1(I) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (C=k1_funct_1(H, 1) &  (! [J] :  (v1_xreal_0(J) =>  (r2_hidden(J, G) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3, 1, k1_pdiff_3(2, 3, A), B), J), k1_funct_1(k1_pdiff_2(3, 1, k1_pdiff_3(2, 3, A), B), D))=k2_xcmplx_0(k1_funct_1(H, k6_xcmplx_0(J, D)), k1_funct_1(I, k6_xcmplx_0(J, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (r5_pdiff_5(A, B) =>  (! [C] :  (v1_xreal_0(C) =>  (C=k5_pdiff_5(A, B) <=>  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (? [F] :  (v1_xreal_0(F) &  (B=k11_finseq_1(D, E, F) &  (? [G] :  (m1_rcomp_1(G, E) &  (r1_tarski(G, k1_relset_1(k1_numbers, k1_pdiff_2(3, 2, k1_pdiff_3(2, 3, A), B))) &  (? [H] :  ( (v1_funct_1(H) &  (v3_fdiff_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [I] :  ( (v1_funct_1(I) &  (v2_fdiff_1(I) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (C=k1_funct_1(H, 1) &  (! [J] :  (v1_xreal_0(J) =>  (r2_hidden(J, G) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3, 2, k1_pdiff_3(2, 3, A), B), J), k1_funct_1(k1_pdiff_2(3, 2, k1_pdiff_3(2, 3, A), B), E))=k2_xcmplx_0(k1_funct_1(H, k6_xcmplx_0(J, E)), k1_funct_1(I, k6_xcmplx_0(J, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (r6_pdiff_5(A, B) =>  (! [C] :  (v1_xreal_0(C) =>  (C=k6_pdiff_5(A, B) <=>  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (? [F] :  (v1_xreal_0(F) &  (B=k11_finseq_1(D, E, F) &  (? [G] :  (m1_rcomp_1(G, F) &  (r1_tarski(G, k1_relset_1(k1_numbers, k1_pdiff_2(3, 3, k1_pdiff_3(2, 3, A), B))) &  (? [H] :  ( (v1_funct_1(H) &  (v3_fdiff_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [I] :  ( (v1_funct_1(I) &  (v2_fdiff_1(I) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (C=k1_funct_1(H, 1) &  (! [J] :  (v1_xreal_0(J) =>  (r2_hidden(J, G) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3, 3, k1_pdiff_3(2, 3, A), B), J), k1_funct_1(k1_pdiff_2(3, 3, k1_pdiff_3(2, 3, A), B), F))=k2_xcmplx_0(k1_funct_1(H, k6_xcmplx_0(J, F)), k1_funct_1(I, k6_xcmplx_0(J, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (r7_pdiff_5(A, B) =>  (! [C] :  (v1_xreal_0(C) =>  (C=k7_pdiff_5(A, B) <=>  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (? [F] :  (v1_xreal_0(F) &  (B=k11_finseq_1(D, E, F) &  (? [G] :  (m1_rcomp_1(G, D) &  (r1_tarski(G, k1_relset_1(k1_numbers, k1_pdiff_2(3, 1, k1_pdiff_3(3, 3, A), B))) &  (? [H] :  ( (v1_funct_1(H) &  (v3_fdiff_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [I] :  ( (v1_funct_1(I) &  (v2_fdiff_1(I) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (C=k1_funct_1(H, 1) &  (! [J] :  (v1_xreal_0(J) =>  (r2_hidden(J, G) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3, 1, k1_pdiff_3(3, 3, A), B), J), k1_funct_1(k1_pdiff_2(3, 1, k1_pdiff_3(3, 3, A), B), D))=k2_xcmplx_0(k1_funct_1(H, k6_xcmplx_0(J, D)), k1_funct_1(I, k6_xcmplx_0(J, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (r8_pdiff_5(A, B) =>  (! [C] :  (v1_xreal_0(C) =>  (C=k8_pdiff_5(A, B) <=>  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (? [F] :  (v1_xreal_0(F) &  (B=k11_finseq_1(D, E, F) &  (? [G] :  (m1_rcomp_1(G, E) &  (r1_tarski(G, k1_relset_1(k1_numbers, k1_pdiff_2(3, 2, k1_pdiff_3(3, 3, A), B))) &  (? [H] :  ( (v1_funct_1(H) &  (v3_fdiff_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [I] :  ( (v1_funct_1(I) &  (v2_fdiff_1(I) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (C=k1_funct_1(H, 1) &  (! [J] :  (v1_xreal_0(J) =>  (r2_hidden(J, G) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3, 2, k1_pdiff_3(3, 3, A), B), J), k1_funct_1(k1_pdiff_2(3, 2, k1_pdiff_3(3, 3, A), B), E))=k2_xcmplx_0(k1_funct_1(H, k6_xcmplx_0(J, E)), k1_funct_1(I, k6_xcmplx_0(J, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (r9_pdiff_5(A, B) =>  (! [C] :  (v1_xreal_0(C) =>  (C=k9_pdiff_5(A, B) <=>  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (? [F] :  (v1_xreal_0(F) &  (B=k11_finseq_1(D, E, F) &  (? [G] :  (m1_rcomp_1(G, F) &  (r1_tarski(G, k1_relset_1(k1_numbers, k1_pdiff_2(3, 3, k1_pdiff_3(3, 3, A), B))) &  (? [H] :  ( (v1_funct_1(H) &  (v3_fdiff_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [I] :  ( (v1_funct_1(I) &  (v2_fdiff_1(I) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (C=k1_funct_1(H, 1) &  (! [J] :  (v1_xreal_0(J) =>  (r2_hidden(J, G) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3, 3, k1_pdiff_3(3, 3, A), B), J), k1_funct_1(k1_pdiff_2(3, 3, k1_pdiff_3(3, 3, A), B), F))=k2_xcmplx_0(k1_funct_1(H, k6_xcmplx_0(J, F)), k1_funct_1(I, k6_xcmplx_0(J, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_pdiff_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (D=k11_finseq_1(A, B, C) & r1_pdiff_5(E, D))  => r1_fdiff_1(k1_pdiff_2(3, 1, k1_pdiff_3(1, 3, E), D), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_pdiff_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (D=k11_finseq_1(A, B, C) & r2_pdiff_5(E, D))  => r1_fdiff_1(k1_pdiff_2(3, 2, k1_pdiff_3(1, 3, E), D), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_pdiff_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (D=k11_finseq_1(A, B, C) & r3_pdiff_5(E, D))  => r1_fdiff_1(k1_pdiff_2(3, 3, k1_pdiff_3(1, 3, E), D), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_pdiff_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (D=k11_finseq_1(A, B, C) & r4_pdiff_5(E, D))  => r1_fdiff_1(k1_pdiff_2(3, 1, k1_pdiff_3(2, 3, E), D), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_pdiff_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (D=k11_finseq_1(A, B, C) & r5_pdiff_5(E, D))  => r1_fdiff_1(k1_pdiff_2(3, 2, k1_pdiff_3(2, 3, E), D), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_pdiff_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (D=k11_finseq_1(A, B, C) & r6_pdiff_5(E, D))  => r1_fdiff_1(k1_pdiff_2(3, 3, k1_pdiff_3(2, 3, E), D), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_pdiff_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (D=k11_finseq_1(A, B, C) & r7_pdiff_5(E, D))  => r1_fdiff_1(k1_pdiff_2(3, 1, k1_pdiff_3(3, 3, E), D), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_pdiff_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (D=k11_finseq_1(A, B, C) & r8_pdiff_5(E, D))  => r1_fdiff_1(k1_pdiff_2(3, 2, k1_pdiff_3(3, 3, E), D), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_pdiff_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (D=k11_finseq_1(A, B, C) & r9_pdiff_5(E, D))  => r1_fdiff_1(k1_pdiff_2(3, 3, k1_pdiff_3(3, 3, E), D), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_pdiff_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (D=k11_finseq_1(A, B, C) & r1_pdiff_5(E, D))  => k1_pdiff_5(E, D)=k1_fdiff_1(k1_pdiff_2(3, 1, k1_pdiff_3(1, 3, E), D), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_pdiff_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (D=k11_finseq_1(A, B, C) & r2_pdiff_5(E, D))  => k2_pdiff_5(E, D)=k1_fdiff_1(k1_pdiff_2(3, 2, k1_pdiff_3(1, 3, E), D), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_pdiff_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (D=k11_finseq_1(A, B, C) & r3_pdiff_5(E, D))  => k3_pdiff_5(E, D)=k1_fdiff_1(k1_pdiff_2(3, 3, k1_pdiff_3(1, 3, E), D), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_pdiff_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (D=k11_finseq_1(A, B, C) & r4_pdiff_5(E, D))  => k4_pdiff_5(E, D)=k1_fdiff_1(k1_pdiff_2(3, 1, k1_pdiff_3(2, 3, E), D), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_pdiff_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (D=k11_finseq_1(A, B, C) & r5_pdiff_5(E, D))  => k5_pdiff_5(E, D)=k1_fdiff_1(k1_pdiff_2(3, 2, k1_pdiff_3(2, 3, E), D), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_pdiff_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (D=k11_finseq_1(A, B, C) & r6_pdiff_5(E, D))  => k6_pdiff_5(E, D)=k1_fdiff_1(k1_pdiff_2(3, 3, k1_pdiff_3(2, 3, E), D), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_pdiff_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (D=k11_finseq_1(A, B, C) & r7_pdiff_5(E, D))  => k7_pdiff_5(E, D)=k1_fdiff_1(k1_pdiff_2(3, 1, k1_pdiff_3(3, 3, E), D), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_pdiff_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (D=k11_finseq_1(A, B, C) & r8_pdiff_5(E, D))  => k8_pdiff_5(E, D)=k1_fdiff_1(k1_pdiff_2(3, 2, k1_pdiff_3(3, 3, E), D), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_pdiff_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (D=k11_finseq_1(A, B, C) & r9_pdiff_5(E, D))  => k9_pdiff_5(E, D)=k1_fdiff_1(k1_pdiff_2(3, 3, k1_pdiff_3(3, 3, E), D), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (r10_pdiff_5(A, B) <=>  (r1_tarski(B, k1_relset_1(k1_euclid(3), A)) &  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(3)) =>  (r2_tarski(C, B) => r1_pdiff_5(k2_partfun1(k1_euclid(3), k1_numbers, A, B), C)) ) ) ) ) ) ) ) ).
fof(d20_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (r11_pdiff_5(A, B) <=>  (r1_tarski(B, k1_relset_1(k1_euclid(3), A)) &  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(3)) =>  (r2_tarski(C, B) => r2_pdiff_5(k2_partfun1(k1_euclid(3), k1_numbers, A, B), C)) ) ) ) ) ) ) ) ).
fof(d21_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (r12_pdiff_5(A, B) <=>  (r1_tarski(B, k1_relset_1(k1_euclid(3), A)) &  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(3)) =>  (r2_tarski(C, B) => r3_pdiff_5(k2_partfun1(k1_euclid(3), k1_numbers, A, B), C)) ) ) ) ) ) ) ) ).
fof(d22_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (r13_pdiff_5(A, B) <=>  (r1_tarski(B, k1_relset_1(k1_euclid(3), A)) &  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(3)) =>  (r2_tarski(C, B) => r4_pdiff_5(k2_partfun1(k1_euclid(3), k1_numbers, A, B), C)) ) ) ) ) ) ) ) ).
fof(d23_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (r14_pdiff_5(A, B) <=>  (r1_tarski(B, k1_relset_1(k1_euclid(3), A)) &  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(3)) =>  (r2_tarski(C, B) => r5_pdiff_5(k2_partfun1(k1_euclid(3), k1_numbers, A, B), C)) ) ) ) ) ) ) ) ).
fof(d24_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (r15_pdiff_5(A, B) <=>  (r1_tarski(B, k1_relset_1(k1_euclid(3), A)) &  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(3)) =>  (r2_tarski(C, B) => r6_pdiff_5(k2_partfun1(k1_euclid(3), k1_numbers, A, B), C)) ) ) ) ) ) ) ) ).
fof(d25_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (r16_pdiff_5(A, B) <=>  (r1_tarski(B, k1_relset_1(k1_euclid(3), A)) &  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(3)) =>  (r2_tarski(C, B) => r7_pdiff_5(k2_partfun1(k1_euclid(3), k1_numbers, A, B), C)) ) ) ) ) ) ) ) ).
fof(d26_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (r17_pdiff_5(A, B) <=>  (r1_tarski(B, k1_relset_1(k1_euclid(3), A)) &  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(3)) =>  (r2_tarski(C, B) => r8_pdiff_5(k2_partfun1(k1_euclid(3), k1_numbers, A, B), C)) ) ) ) ) ) ) ) ).
fof(d27_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (r18_pdiff_5(A, B) <=>  (r1_tarski(B, k1_relset_1(k1_euclid(3), A)) &  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(3)) =>  (r2_tarski(C, B) => r9_pdiff_5(k2_partfun1(k1_euclid(3), k1_numbers, A, B), C)) ) ) ) ) ) ) ) ).
fof(d28_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (r10_pdiff_5(A, B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (C=k10_pdiff_5(A, B) <=>  (k1_relset_1(k1_euclid(3), C)=B &  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (r2_tarski(D, B) => k1_funct_1(C, D)=k1_pdiff_5(A, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d29_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (r11_pdiff_5(A, B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (C=k11_pdiff_5(A, B) <=>  (k1_relset_1(k1_euclid(3), C)=B &  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (r2_tarski(D, B) => k1_funct_1(C, D)=k2_pdiff_5(A, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d30_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (r12_pdiff_5(A, B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (C=k12_pdiff_5(A, B) <=>  (k1_relset_1(k1_euclid(3), C)=B &  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (r2_tarski(D, B) => k1_funct_1(C, D)=k3_pdiff_5(A, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d31_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (r13_pdiff_5(A, B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (C=k13_pdiff_5(A, B) <=>  (k1_relset_1(k1_euclid(3), C)=B &  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (r2_tarski(D, B) => k1_funct_1(C, D)=k4_pdiff_5(A, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d32_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (r14_pdiff_5(A, B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (C=k14_pdiff_5(A, B) <=>  (k1_relset_1(k1_euclid(3), C)=B &  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (r2_tarski(D, B) => k1_funct_1(C, D)=k5_pdiff_5(A, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d33_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (r15_pdiff_5(A, B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (C=k15_pdiff_5(A, B) <=>  (k1_relset_1(k1_euclid(3), C)=B &  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (r2_tarski(D, B) => k1_funct_1(C, D)=k6_pdiff_5(A, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d34_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (r16_pdiff_5(A, B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (C=k16_pdiff_5(A, B) <=>  (k1_relset_1(k1_euclid(3), C)=B &  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (r2_tarski(D, B) => k1_funct_1(C, D)=k7_pdiff_5(A, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d35_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (r17_pdiff_5(A, B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (C=k17_pdiff_5(A, B) <=>  (k1_relset_1(k1_euclid(3), C)=B &  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (r2_tarski(D, B) => k1_funct_1(C, D)=k8_pdiff_5(A, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d36_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (r18_pdiff_5(A, B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (C=k18_pdiff_5(A, B) <=>  (k1_relset_1(k1_euclid(3), C)=B &  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(3)) =>  (r2_tarski(D, B) => k1_funct_1(C, D)=k9_pdiff_5(A, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_pdiff_5, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (r1_pdiff_5(B, A) <=> r3_pdiff_1(3, 1, k1_pdiff_3(1, 3, B), A)) ) ) ) ) ).
fof(t20_pdiff_5, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (r2_pdiff_5(B, A) <=> r3_pdiff_1(3, 2, k1_pdiff_3(1, 3, B), A)) ) ) ) ) ).
fof(t21_pdiff_5, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (r3_pdiff_5(B, A) <=> r3_pdiff_1(3, 3, k1_pdiff_3(1, 3, B), A)) ) ) ) ) ).
fof(t22_pdiff_5, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (r4_pdiff_5(B, A) <=> r3_pdiff_1(3, 1, k1_pdiff_3(2, 3, B), A)) ) ) ) ) ).
fof(t23_pdiff_5, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (r5_pdiff_5(B, A) <=> r3_pdiff_1(3, 2, k1_pdiff_3(2, 3, B), A)) ) ) ) ) ).
fof(t24_pdiff_5, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (r6_pdiff_5(B, A) <=> r3_pdiff_1(3, 3, k1_pdiff_3(2, 3, B), A)) ) ) ) ) ).
fof(t25_pdiff_5, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (r7_pdiff_5(B, A) <=> r3_pdiff_1(3, 1, k1_pdiff_3(3, 3, B), A)) ) ) ) ) ).
fof(t26_pdiff_5, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (r8_pdiff_5(B, A) <=> r3_pdiff_1(3, 2, k1_pdiff_3(3, 3, B), A)) ) ) ) ) ).
fof(t27_pdiff_5, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (r9_pdiff_5(B, A) <=> r3_pdiff_1(3, 3, k1_pdiff_3(3, 3, B), A)) ) ) ) ) ).
fof(t28_pdiff_5, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (r1_pdiff_5(B, A) => k1_pdiff_5(B, A)=k10_pdiff_1(3, 1, k1_pdiff_3(1, 3, B), A)) ) ) ) ) ).
fof(t29_pdiff_5, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (r2_pdiff_5(B, A) => k2_pdiff_5(B, A)=k10_pdiff_1(3, 2, k1_pdiff_3(1, 3, B), A)) ) ) ) ) ).
fof(t30_pdiff_5, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (r3_pdiff_5(B, A) => k3_pdiff_5(B, A)=k10_pdiff_1(3, 3, k1_pdiff_3(1, 3, B), A)) ) ) ) ) ).
fof(t31_pdiff_5, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (r4_pdiff_5(B, A) => k4_pdiff_5(B, A)=k10_pdiff_1(3, 1, k1_pdiff_3(2, 3, B), A)) ) ) ) ) ).
fof(t32_pdiff_5, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (r5_pdiff_5(B, A) => k5_pdiff_5(B, A)=k10_pdiff_1(3, 2, k1_pdiff_3(2, 3, B), A)) ) ) ) ) ).
fof(t33_pdiff_5, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (r6_pdiff_5(B, A) => k6_pdiff_5(B, A)=k10_pdiff_1(3, 3, k1_pdiff_3(2, 3, B), A)) ) ) ) ) ).
fof(t34_pdiff_5, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (r7_pdiff_5(B, A) => k7_pdiff_5(B, A)=k10_pdiff_1(3, 1, k1_pdiff_3(3, 3, B), A)) ) ) ) ) ).
fof(t35_pdiff_5, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (r8_pdiff_5(B, A) => k8_pdiff_5(B, A)=k10_pdiff_1(3, 2, k1_pdiff_3(3, 3, B), A)) ) ) ) ) ).
fof(t36_pdiff_5, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (r9_pdiff_5(B, A) => k9_pdiff_5(B, A)=k10_pdiff_1(3, 3, k1_pdiff_3(3, 3, B), A)) ) ) ) ) ).
fof(t37_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  (m1_rcomp_1(C, k3_funct_2(k1_euclid(3), k1_numbers, k1_pdiff_1(1, 3), B)) =>  ( (r1_pdiff_5(A, B) & r1_tarski(C, k1_relset_1(k1_numbers, k1_pdiff_2(3, 1, k1_pdiff_3(1, 3, A), B))))  =>  (! [D] :  ( (v9_ordinal1(D) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(D, k5_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v3_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (k2_relset_1(k1_numbers, E)=k1_tarski(k3_funct_2(k1_euclid(3), k1_numbers, k1_pdiff_1(1, 3), B)) & r1_tarski(k2_relset_1(k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E)), C))  =>  (v2_comseq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), k1_pdiff_2(3, 1, k1_pdiff_3(1, 3, A), B)), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, k1_pdiff_2(3, 1, k1_pdiff_3(1, 3, A), B))))) & k1_pdiff_5(A, B)=k1_seq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), k1_pdiff_2(3, 1, k1_pdiff_3(1, 3, A), B)), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, k1_pdiff_2(3, 1, k1_pdiff_3(1, 3, A), B)))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  (m1_rcomp_1(C, k3_funct_2(k1_euclid(3), k1_numbers, k1_pdiff_1(2, 3), B)) =>  ( (r2_pdiff_5(A, B) & r1_tarski(C, k1_relset_1(k1_numbers, k1_pdiff_2(3, 2, k1_pdiff_3(1, 3, A), B))))  =>  (! [D] :  ( (v9_ordinal1(D) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(D, k5_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v3_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (k2_relset_1(k1_numbers, E)=k1_tarski(k3_funct_2(k1_euclid(3), k1_numbers, k1_pdiff_1(2, 3), B)) & r1_tarski(k2_relset_1(k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E)), C))  =>  (v2_comseq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), k1_pdiff_2(3, 2, k1_pdiff_3(1, 3, A), B)), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, k1_pdiff_2(3, 2, k1_pdiff_3(1, 3, A), B))))) & k2_pdiff_5(A, B)=k1_seq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), k1_pdiff_2(3, 2, k1_pdiff_3(1, 3, A), B)), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, k1_pdiff_2(3, 2, k1_pdiff_3(1, 3, A), B)))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  (m1_rcomp_1(C, k3_funct_2(k1_euclid(3), k1_numbers, k1_pdiff_1(3, 3), B)) =>  ( (r3_pdiff_5(A, B) & r1_tarski(C, k1_relset_1(k1_numbers, k1_pdiff_2(3, 3, k1_pdiff_3(1, 3, A), B))))  =>  (! [D] :  ( (v9_ordinal1(D) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(D, k5_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v3_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (k2_relset_1(k1_numbers, E)=k1_tarski(k3_funct_2(k1_euclid(3), k1_numbers, k1_pdiff_1(3, 3), B)) & r1_tarski(k2_relset_1(k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E)), C))  =>  (v2_comseq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), k1_pdiff_2(3, 3, k1_pdiff_3(1, 3, A), B)), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, k1_pdiff_2(3, 3, k1_pdiff_3(1, 3, A), B))))) & k3_pdiff_5(A, B)=k1_seq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), k1_pdiff_2(3, 3, k1_pdiff_3(1, 3, A), B)), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, k1_pdiff_2(3, 3, k1_pdiff_3(1, 3, A), B)))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  (m1_rcomp_1(C, k3_funct_2(k1_euclid(3), k1_numbers, k1_pdiff_1(1, 3), B)) =>  ( (r4_pdiff_5(A, B) & r1_tarski(C, k1_relset_1(k1_numbers, k1_pdiff_2(3, 1, k1_pdiff_3(2, 3, A), B))))  =>  (! [D] :  ( (v9_ordinal1(D) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(D, k5_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v3_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (k2_relset_1(k1_numbers, E)=k1_tarski(k3_funct_2(k1_euclid(3), k1_numbers, k1_pdiff_1(1, 3), B)) & r1_tarski(k2_relset_1(k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E)), C))  =>  (v2_comseq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), k1_pdiff_2(3, 1, k1_pdiff_3(2, 3, A), B)), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, k1_pdiff_2(3, 1, k1_pdiff_3(2, 3, A), B))))) & k4_pdiff_5(A, B)=k1_seq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), k1_pdiff_2(3, 1, k1_pdiff_3(2, 3, A), B)), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, k1_pdiff_2(3, 1, k1_pdiff_3(2, 3, A), B)))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  (m1_rcomp_1(C, k3_funct_2(k1_euclid(3), k1_numbers, k1_pdiff_1(2, 3), B)) =>  ( (r5_pdiff_5(A, B) & r1_tarski(C, k1_relset_1(k1_numbers, k1_pdiff_2(3, 2, k1_pdiff_3(2, 3, A), B))))  =>  (! [D] :  ( (v9_ordinal1(D) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(D, k5_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v3_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (k2_relset_1(k1_numbers, E)=k1_tarski(k3_funct_2(k1_euclid(3), k1_numbers, k1_pdiff_1(2, 3), B)) & r1_tarski(k2_relset_1(k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E)), C))  =>  (v2_comseq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), k1_pdiff_2(3, 2, k1_pdiff_3(2, 3, A), B)), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, k1_pdiff_2(3, 2, k1_pdiff_3(2, 3, A), B))))) & k5_pdiff_5(A, B)=k1_seq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), k1_pdiff_2(3, 2, k1_pdiff_3(2, 3, A), B)), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, k1_pdiff_2(3, 2, k1_pdiff_3(2, 3, A), B)))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  (m1_rcomp_1(C, k3_funct_2(k1_euclid(3), k1_numbers, k1_pdiff_1(3, 3), B)) =>  ( (r6_pdiff_5(A, B) & r1_tarski(C, k1_relset_1(k1_numbers, k1_pdiff_2(3, 3, k1_pdiff_3(2, 3, A), B))))  =>  (! [D] :  ( (v9_ordinal1(D) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(D, k5_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v3_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (k2_relset_1(k1_numbers, E)=k1_tarski(k3_funct_2(k1_euclid(3), k1_numbers, k1_pdiff_1(3, 3), B)) & r1_tarski(k2_relset_1(k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E)), C))  =>  (v2_comseq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), k1_pdiff_2(3, 3, k1_pdiff_3(2, 3, A), B)), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, k1_pdiff_2(3, 3, k1_pdiff_3(2, 3, A), B))))) & k6_pdiff_5(A, B)=k1_seq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), k1_pdiff_2(3, 3, k1_pdiff_3(2, 3, A), B)), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, k1_pdiff_2(3, 3, k1_pdiff_3(2, 3, A), B)))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  (m1_rcomp_1(C, k3_funct_2(k1_euclid(3), k1_numbers, k1_pdiff_1(1, 3), B)) =>  ( (r7_pdiff_5(A, B) & r1_tarski(C, k1_relset_1(k1_numbers, k1_pdiff_2(3, 1, k1_pdiff_3(3, 3, A), B))))  =>  (! [D] :  ( (v9_ordinal1(D) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(D, k5_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v3_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (k2_relset_1(k1_numbers, E)=k1_tarski(k3_funct_2(k1_euclid(3), k1_numbers, k1_pdiff_1(1, 3), B)) & r1_tarski(k2_relset_1(k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E)), C))  =>  (v2_comseq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), k1_pdiff_2(3, 1, k1_pdiff_3(3, 3, A), B)), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, k1_pdiff_2(3, 1, k1_pdiff_3(3, 3, A), B))))) & k7_pdiff_5(A, B)=k1_seq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), k1_pdiff_2(3, 1, k1_pdiff_3(3, 3, A), B)), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, k1_pdiff_2(3, 1, k1_pdiff_3(3, 3, A), B)))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  (m1_rcomp_1(C, k3_funct_2(k1_euclid(3), k1_numbers, k1_pdiff_1(2, 3), B)) =>  ( (r8_pdiff_5(A, B) & r1_tarski(C, k1_relset_1(k1_numbers, k1_pdiff_2(3, 2, k1_pdiff_3(3, 3, A), B))))  =>  (! [D] :  ( (v9_ordinal1(D) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(D, k5_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v3_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (k2_relset_1(k1_numbers, E)=k1_tarski(k3_funct_2(k1_euclid(3), k1_numbers, k1_pdiff_1(2, 3), B)) & r1_tarski(k2_relset_1(k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E)), C))  =>  (v2_comseq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), k1_pdiff_2(3, 2, k1_pdiff_3(3, 3, A), B)), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, k1_pdiff_2(3, 2, k1_pdiff_3(3, 3, A), B))))) & k8_pdiff_5(A, B)=k1_seq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), k1_pdiff_2(3, 2, k1_pdiff_3(3, 3, A), B)), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, k1_pdiff_2(3, 2, k1_pdiff_3(3, 3, A), B)))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  (m1_rcomp_1(C, k3_funct_2(k1_euclid(3), k1_numbers, k1_pdiff_1(3, 3), B)) =>  ( (r9_pdiff_5(A, B) & r1_tarski(C, k1_relset_1(k1_numbers, k1_pdiff_2(3, 3, k1_pdiff_3(3, 3, A), B))))  =>  (! [D] :  ( (v9_ordinal1(D) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) &  (v1_fdiff_1(D, k5_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v3_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  ( (k2_relset_1(k1_numbers, E)=k1_tarski(k3_funct_2(k1_euclid(3), k1_numbers, k1_pdiff_1(3, 3), B)) & r1_tarski(k2_relset_1(k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E)), C))  =>  (v2_comseq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), k1_pdiff_2(3, 3, k1_pdiff_3(3, 3, A), B)), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, k1_pdiff_2(3, 3, k1_pdiff_3(3, 3, A), B))))) & k9_pdiff_5(A, B)=k1_seq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, D), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, E), k1_pdiff_2(3, 3, k1_pdiff_3(3, 3, A), B)), k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, E, k1_pdiff_2(3, 3, k1_pdiff_3(3, 3, A), B)))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_pdiff_5, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (r1_pdiff_5(B, A) & r1_pdiff_5(C, A))  =>  (r3_pdiff_1(3, 1, k3_valued_1(k1_euclid(3), k1_numbers, k1_numbers, k1_pdiff_3(1, 3, B), k1_pdiff_3(1, 3, C)), A) & k10_pdiff_1(3, 1, k3_valued_1(k1_euclid(3), k1_numbers, k1_numbers, k1_pdiff_3(1, 3, B), k1_pdiff_3(1, 3, C)), A)=k2_xcmplx_0(k1_pdiff_5(B, A), k1_pdiff_5(C, A))) ) ) ) ) ) ) ) ).
fof(t47_pdiff_5, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (r2_pdiff_5(B, A) & r2_pdiff_5(C, A))  =>  (r3_pdiff_1(3, 2, k3_valued_1(k1_euclid(3), k1_numbers, k1_numbers, k1_pdiff_3(1, 3, B), k1_pdiff_3(1, 3, C)), A) & k10_pdiff_1(3, 2, k3_valued_1(k1_euclid(3), k1_numbers, k1_numbers, k1_pdiff_3(1, 3, B), k1_pdiff_3(1, 3, C)), A)=k2_xcmplx_0(k2_pdiff_5(B, A), k2_pdiff_5(C, A))) ) ) ) ) ) ) ) ).
fof(t48_pdiff_5, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (r3_pdiff_5(B, A) & r3_pdiff_5(C, A))  =>  (r3_pdiff_1(3, 3, k3_valued_1(k1_euclid(3), k1_numbers, k1_numbers, k1_pdiff_3(1, 3, B), k1_pdiff_3(1, 3, C)), A) & k10_pdiff_1(3, 3, k3_valued_1(k1_euclid(3), k1_numbers, k1_numbers, k1_pdiff_3(1, 3, B), k1_pdiff_3(1, 3, C)), A)=k2_xcmplx_0(k3_pdiff_5(B, A), k3_pdiff_5(C, A))) ) ) ) ) ) ) ) ).
fof(t49_pdiff_5, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (r4_pdiff_5(B, A) & r4_pdiff_5(C, A))  =>  (r3_pdiff_1(3, 1, k3_valued_1(k1_euclid(3), k1_numbers, k1_numbers, k1_pdiff_3(2, 3, B), k1_pdiff_3(2, 3, C)), A) & k10_pdiff_1(3, 1, k3_valued_1(k1_euclid(3), k1_numbers, k1_numbers, k1_pdiff_3(2, 3, B), k1_pdiff_3(2, 3, C)), A)=k2_xcmplx_0(k4_pdiff_5(B, A), k4_pdiff_5(C, A))) ) ) ) ) ) ) ) ).
fof(t50_pdiff_5, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (r5_pdiff_5(B, A) & r5_pdiff_5(C, A))  =>  (r3_pdiff_1(3, 2, k3_valued_1(k1_euclid(3), k1_numbers, k1_numbers, k1_pdiff_3(2, 3, B), k1_pdiff_3(2, 3, C)), A) & k10_pdiff_1(3, 2, k3_valued_1(k1_euclid(3), k1_numbers, k1_numbers, k1_pdiff_3(2, 3, B), k1_pdiff_3(2, 3, C)), A)=k2_xcmplx_0(k5_pdiff_5(B, A), k5_pdiff_5(C, A))) ) ) ) ) ) ) ) ).
fof(t51_pdiff_5, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (r6_pdiff_5(B, A) & r6_pdiff_5(C, A))  =>  (r3_pdiff_1(3, 3, k3_valued_1(k1_euclid(3), k1_numbers, k1_numbers, k1_pdiff_3(2, 3, B), k1_pdiff_3(2, 3, C)), A) & k10_pdiff_1(3, 3, k3_valued_1(k1_euclid(3), k1_numbers, k1_numbers, k1_pdiff_3(2, 3, B), k1_pdiff_3(2, 3, C)), A)=k2_xcmplx_0(k6_pdiff_5(B, A), k6_pdiff_5(C, A))) ) ) ) ) ) ) ) ).
fof(t52_pdiff_5, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (r1_pdiff_5(B, A) & r1_pdiff_5(C, A))  =>  (r3_pdiff_1(3, 1, k47_valued_1(k1_euclid(3), k1_numbers, k1_numbers, k1_pdiff_3(1, 3, B), k1_pdiff_3(1, 3, C)), A) & k10_pdiff_1(3, 1, k47_valued_1(k1_euclid(3), k1_numbers, k1_numbers, k1_pdiff_3(1, 3, B), k1_pdiff_3(1, 3, C)), A)=k6_xcmplx_0(k1_pdiff_5(B, A), k1_pdiff_5(C, A))) ) ) ) ) ) ) ) ).
fof(t53_pdiff_5, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (r2_pdiff_5(B, A) & r2_pdiff_5(C, A))  =>  (r3_pdiff_1(3, 2, k47_valued_1(k1_euclid(3), k1_numbers, k1_numbers, k1_pdiff_3(1, 3, B), k1_pdiff_3(1, 3, C)), A) & k10_pdiff_1(3, 2, k47_valued_1(k1_euclid(3), k1_numbers, k1_numbers, k1_pdiff_3(1, 3, B), k1_pdiff_3(1, 3, C)), A)=k6_xcmplx_0(k2_pdiff_5(B, A), k2_pdiff_5(C, A))) ) ) ) ) ) ) ) ).
fof(t54_pdiff_5, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (r3_pdiff_5(B, A) & r3_pdiff_5(C, A))  =>  (r3_pdiff_1(3, 3, k47_valued_1(k1_euclid(3), k1_numbers, k1_numbers, k1_pdiff_3(1, 3, B), k1_pdiff_3(1, 3, C)), A) & k10_pdiff_1(3, 3, k47_valued_1(k1_euclid(3), k1_numbers, k1_numbers, k1_pdiff_3(1, 3, B), k1_pdiff_3(1, 3, C)), A)=k6_xcmplx_0(k3_pdiff_5(B, A), k3_pdiff_5(C, A))) ) ) ) ) ) ) ) ).
fof(t55_pdiff_5, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (r4_pdiff_5(B, A) & r4_pdiff_5(C, A))  =>  (r3_pdiff_1(3, 1, k47_valued_1(k1_euclid(3), k1_numbers, k1_numbers, k1_pdiff_3(2, 3, B), k1_pdiff_3(2, 3, C)), A) & k10_pdiff_1(3, 1, k47_valued_1(k1_euclid(3), k1_numbers, k1_numbers, k1_pdiff_3(2, 3, B), k1_pdiff_3(2, 3, C)), A)=k6_xcmplx_0(k4_pdiff_5(B, A), k4_pdiff_5(C, A))) ) ) ) ) ) ) ) ).
fof(t56_pdiff_5, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (r5_pdiff_5(B, A) & r5_pdiff_5(C, A))  =>  (r3_pdiff_1(3, 2, k47_valued_1(k1_euclid(3), k1_numbers, k1_numbers, k1_pdiff_3(2, 3, B), k1_pdiff_3(2, 3, C)), A) & k10_pdiff_1(3, 2, k47_valued_1(k1_euclid(3), k1_numbers, k1_numbers, k1_pdiff_3(2, 3, B), k1_pdiff_3(2, 3, C)), A)=k6_xcmplx_0(k5_pdiff_5(B, A), k5_pdiff_5(C, A))) ) ) ) ) ) ) ) ).
fof(t57_pdiff_5, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (r6_pdiff_5(B, A) & r6_pdiff_5(C, A))  =>  (r3_pdiff_1(3, 3, k47_valued_1(k1_euclid(3), k1_numbers, k1_numbers, k1_pdiff_3(2, 3, B), k1_pdiff_3(2, 3, C)), A) & k10_pdiff_1(3, 3, k47_valued_1(k1_euclid(3), k1_numbers, k1_numbers, k1_pdiff_3(2, 3, B), k1_pdiff_3(2, 3, C)), A)=k6_xcmplx_0(k6_pdiff_5(B, A), k6_pdiff_5(C, A))) ) ) ) ) ) ) ) ).
fof(t58_pdiff_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (r1_pdiff_5(C, B) =>  (r3_pdiff_1(3, 1, k26_valued_1(k1_euclid(3), k1_numbers, k1_pdiff_3(1, 3, C), A), B) & k10_pdiff_1(3, 1, k26_valued_1(k1_euclid(3), k1_numbers, k1_pdiff_3(1, 3, C), A), B)=k3_xcmplx_0(A, k1_pdiff_5(C, B))) ) ) ) ) ) ) ) ).
fof(t59_pdiff_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (r2_pdiff_5(C, B) =>  (r3_pdiff_1(3, 2, k26_valued_1(k1_euclid(3), k1_numbers, k1_pdiff_3(1, 3, C), A), B) & k10_pdiff_1(3, 2, k26_valued_1(k1_euclid(3), k1_numbers, k1_pdiff_3(1, 3, C), A), B)=k3_xcmplx_0(A, k2_pdiff_5(C, B))) ) ) ) ) ) ) ) ).
fof(t60_pdiff_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (r3_pdiff_5(C, B) =>  (r3_pdiff_1(3, 3, k26_valued_1(k1_euclid(3), k1_numbers, k1_pdiff_3(1, 3, C), A), B) & k10_pdiff_1(3, 3, k26_valued_1(k1_euclid(3), k1_numbers, k1_pdiff_3(1, 3, C), A), B)=k3_xcmplx_0(A, k3_pdiff_5(C, B))) ) ) ) ) ) ) ) ).
fof(t61_pdiff_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (r4_pdiff_5(C, B) =>  (r3_pdiff_1(3, 1, k26_valued_1(k1_euclid(3), k1_numbers, k1_pdiff_3(2, 3, C), A), B) & k10_pdiff_1(3, 1, k26_valued_1(k1_euclid(3), k1_numbers, k1_pdiff_3(2, 3, C), A), B)=k3_xcmplx_0(A, k4_pdiff_5(C, B))) ) ) ) ) ) ) ) ).
fof(t62_pdiff_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (r5_pdiff_5(C, B) =>  (r3_pdiff_1(3, 2, k26_valued_1(k1_euclid(3), k1_numbers, k1_pdiff_3(2, 3, C), A), B) & k10_pdiff_1(3, 2, k26_valued_1(k1_euclid(3), k1_numbers, k1_pdiff_3(2, 3, C), A), B)=k3_xcmplx_0(A, k5_pdiff_5(C, B))) ) ) ) ) ) ) ) ).
fof(t63_pdiff_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (r6_pdiff_5(C, B) =>  (r3_pdiff_1(3, 3, k26_valued_1(k1_euclid(3), k1_numbers, k1_pdiff_3(2, 3, C), A), B) & k10_pdiff_1(3, 3, k26_valued_1(k1_euclid(3), k1_numbers, k1_pdiff_3(2, 3, C), A), B)=k3_xcmplx_0(A, k6_pdiff_5(C, B))) ) ) ) ) ) ) ) ).
fof(t64_pdiff_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (r7_pdiff_5(C, B) =>  (r3_pdiff_1(3, 1, k26_valued_1(k1_euclid(3), k1_numbers, k1_pdiff_3(3, 3, C), A), B) & k10_pdiff_1(3, 1, k26_valued_1(k1_euclid(3), k1_numbers, k1_pdiff_3(3, 3, C), A), B)=k3_xcmplx_0(A, k7_pdiff_5(C, B))) ) ) ) ) ) ) ) ).
fof(t65_pdiff_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (r8_pdiff_5(C, B) =>  (r3_pdiff_1(3, 2, k26_valued_1(k1_euclid(3), k1_numbers, k1_pdiff_3(3, 3, C), A), B) & k10_pdiff_1(3, 2, k26_valued_1(k1_euclid(3), k1_numbers, k1_pdiff_3(3, 3, C), A), B)=k3_xcmplx_0(A, k8_pdiff_5(C, B))) ) ) ) ) ) ) ) ).
fof(t66_pdiff_5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (r9_pdiff_5(C, B) =>  (r3_pdiff_1(3, 3, k26_valued_1(k1_euclid(3), k1_numbers, k1_pdiff_3(3, 3, C), A), B) & k10_pdiff_1(3, 3, k26_valued_1(k1_euclid(3), k1_numbers, k1_pdiff_3(3, 3, C), A), B)=k3_xcmplx_0(A, k9_pdiff_5(C, B))) ) ) ) ) ) ) ) ).
fof(t67_pdiff_5, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (r1_pdiff_5(B, A) & r1_pdiff_5(C, A))  => r3_pdiff_1(3, 1, k20_valued_1(k1_euclid(3), k1_numbers, k1_numbers, k1_pdiff_3(1, 3, B), k1_pdiff_3(1, 3, C)), A)) ) ) ) ) ) ) ).
fof(t68_pdiff_5, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (r2_pdiff_5(B, A) & r2_pdiff_5(C, A))  => r3_pdiff_1(3, 2, k20_valued_1(k1_euclid(3), k1_numbers, k1_numbers, k1_pdiff_3(1, 3, B), k1_pdiff_3(1, 3, C)), A)) ) ) ) ) ) ) ).
fof(t69_pdiff_5, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (r3_pdiff_5(B, A) & r3_pdiff_5(C, A))  => r3_pdiff_1(3, 3, k20_valued_1(k1_euclid(3), k1_numbers, k1_numbers, k1_pdiff_3(1, 3, B), k1_pdiff_3(1, 3, C)), A)) ) ) ) ) ) ) ).
fof(t70_pdiff_5, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (r4_pdiff_5(B, A) & r4_pdiff_5(C, A))  => r3_pdiff_1(3, 1, k20_valued_1(k1_euclid(3), k1_numbers, k1_numbers, k1_pdiff_3(2, 3, B), k1_pdiff_3(2, 3, C)), A)) ) ) ) ) ) ) ).
fof(t71_pdiff_5, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (r5_pdiff_5(B, A) & r5_pdiff_5(C, A))  => r3_pdiff_1(3, 2, k20_valued_1(k1_euclid(3), k1_numbers, k1_numbers, k1_pdiff_3(2, 3, B), k1_pdiff_3(2, 3, C)), A)) ) ) ) ) ) ) ).
fof(t72_pdiff_5, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (r6_pdiff_5(B, A) & r6_pdiff_5(C, A))  => r3_pdiff_1(3, 3, k20_valued_1(k1_euclid(3), k1_numbers, k1_numbers, k1_pdiff_3(2, 3, B), k1_pdiff_3(2, 3, C)), A)) ) ) ) ) ) ) ).
fof(t73_pdiff_5, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (r7_pdiff_5(B, A) & r7_pdiff_5(C, A))  => r3_pdiff_1(3, 1, k20_valued_1(k1_euclid(3), k1_numbers, k1_numbers, k1_pdiff_3(3, 3, B), k1_pdiff_3(3, 3, C)), A)) ) ) ) ) ) ) ).
fof(t74_pdiff_5, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (r8_pdiff_5(B, A) & r8_pdiff_5(C, A))  => r3_pdiff_1(3, 2, k20_valued_1(k1_euclid(3), k1_numbers, k1_numbers, k1_pdiff_3(3, 3, B), k1_pdiff_3(3, 3, C)), A)) ) ) ) ) ) ) ).
fof(t75_pdiff_5, axiom,  (! [A] :  (m2_finseq_2(A, k1_numbers, k1_euclid(3)) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  ( (r9_pdiff_5(B, A) & r9_pdiff_5(C, A))  => r3_pdiff_1(3, 3, k20_valued_1(k1_euclid(3), k1_numbers, k1_numbers, k1_pdiff_3(3, 3, B), k1_pdiff_3(3, 3, C)), A)) ) ) ) ) ) ) ).
fof(t76_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (r1_pdiff_5(A, B) => r1_fcont_1(k1_pdiff_2(3, 1, k1_pdiff_3(1, 3, A), B), k3_funct_2(k1_euclid(3), k1_numbers, k1_pdiff_1(1, 3), B))) ) ) ) ) ).
fof(t77_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (r2_pdiff_5(A, B) => r1_fcont_1(k1_pdiff_2(3, 2, k1_pdiff_3(1, 3, A), B), k3_funct_2(k1_euclid(3), k1_numbers, k1_pdiff_1(2, 3), B))) ) ) ) ) ).
fof(t78_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (r3_pdiff_5(A, B) => r1_fcont_1(k1_pdiff_2(3, 3, k1_pdiff_3(1, 3, A), B), k3_funct_2(k1_euclid(3), k1_numbers, k1_pdiff_1(3, 3), B))) ) ) ) ) ).
fof(t79_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (r4_pdiff_5(A, B) => r1_fcont_1(k1_pdiff_2(3, 1, k1_pdiff_3(2, 3, A), B), k3_funct_2(k1_euclid(3), k1_numbers, k1_pdiff_1(1, 3), B))) ) ) ) ) ).
fof(t80_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (r5_pdiff_5(A, B) => r1_fcont_1(k1_pdiff_2(3, 2, k1_pdiff_3(2, 3, A), B), k3_funct_2(k1_euclid(3), k1_numbers, k1_pdiff_1(2, 3), B))) ) ) ) ) ).
fof(t81_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (r6_pdiff_5(A, B) => r1_fcont_1(k1_pdiff_2(3, 3, k1_pdiff_3(2, 3, A), B), k3_funct_2(k1_euclid(3), k1_numbers, k1_pdiff_1(3, 3), B))) ) ) ) ) ).
fof(t82_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (r7_pdiff_5(A, B) => r1_fcont_1(k1_pdiff_2(3, 1, k1_pdiff_3(3, 3, A), B), k3_funct_2(k1_euclid(3), k1_numbers, k1_pdiff_1(1, 3), B))) ) ) ) ) ).
fof(t83_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (r8_pdiff_5(A, B) => r1_fcont_1(k1_pdiff_2(3, 2, k1_pdiff_3(3, 3, A), B), k3_funct_2(k1_euclid(3), k1_numbers, k1_pdiff_1(2, 3), B))) ) ) ) ) ).
fof(t84_pdiff_5, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(3)) =>  (r9_pdiff_5(A, B) => r1_fcont_1(k1_pdiff_2(3, 3, k1_pdiff_3(3, 3, A), B), k3_funct_2(k1_euclid(3), k1_numbers, k1_pdiff_1(3, 3), B))) ) ) ) ) ).
fof(dt_k1_pdiff_5, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  & m1_subset_1(B, k1_euclid(3)))  => v1_xreal_0(k1_pdiff_5(A, B))) ) ).
fof(dt_k2_pdiff_5, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  & m1_subset_1(B, k1_euclid(3)))  => v1_xreal_0(k2_pdiff_5(A, B))) ) ).
fof(dt_k3_pdiff_5, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  & m1_subset_1(B, k1_euclid(3)))  => v1_xreal_0(k3_pdiff_5(A, B))) ) ).
fof(dt_k4_pdiff_5, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  & m1_subset_1(B, k1_euclid(3)))  => v1_xreal_0(k4_pdiff_5(A, B))) ) ).
fof(dt_k5_pdiff_5, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  & m1_subset_1(B, k1_euclid(3)))  => v1_xreal_0(k5_pdiff_5(A, B))) ) ).
fof(dt_k6_pdiff_5, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  & m1_subset_1(B, k1_euclid(3)))  => v1_xreal_0(k6_pdiff_5(A, B))) ) ).
fof(dt_k7_pdiff_5, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  & m1_subset_1(B, k1_euclid(3)))  => v1_xreal_0(k7_pdiff_5(A, B))) ) ).
fof(dt_k8_pdiff_5, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  & m1_subset_1(B, k1_euclid(3)))  => v1_xreal_0(k8_pdiff_5(A, B))) ) ).
fof(dt_k9_pdiff_5, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  & m1_subset_1(B, k1_euclid(3)))  => v1_xreal_0(k9_pdiff_5(A, B))) ) ).
fof(dt_k10_pdiff_5, axiom,  (! [A, B] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (v1_funct_1(k10_pdiff_5(A, B)) & m1_subset_1(k10_pdiff_5(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers)))) ) ) ).
fof(dt_k11_pdiff_5, axiom,  (! [A, B] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (v1_funct_1(k11_pdiff_5(A, B)) & m1_subset_1(k11_pdiff_5(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers)))) ) ) ).
fof(dt_k12_pdiff_5, axiom,  (! [A, B] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (v1_funct_1(k12_pdiff_5(A, B)) & m1_subset_1(k12_pdiff_5(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers)))) ) ) ).
fof(dt_k13_pdiff_5, axiom,  (! [A, B] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (v1_funct_1(k13_pdiff_5(A, B)) & m1_subset_1(k13_pdiff_5(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers)))) ) ) ).
fof(dt_k14_pdiff_5, axiom,  (! [A, B] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (v1_funct_1(k14_pdiff_5(A, B)) & m1_subset_1(k14_pdiff_5(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers)))) ) ) ).
fof(dt_k15_pdiff_5, axiom,  (! [A, B] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (v1_funct_1(k15_pdiff_5(A, B)) & m1_subset_1(k15_pdiff_5(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers)))) ) ) ).
fof(dt_k16_pdiff_5, axiom,  (! [A, B] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (v1_funct_1(k16_pdiff_5(A, B)) & m1_subset_1(k16_pdiff_5(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers)))) ) ) ).
fof(dt_k17_pdiff_5, axiom,  (! [A, B] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (v1_funct_1(k17_pdiff_5(A, B)) & m1_subset_1(k17_pdiff_5(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers)))) ) ) ).
fof(dt_k18_pdiff_5, axiom,  (! [A, B] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers))))  =>  (v1_funct_1(k18_pdiff_5(A, B)) & m1_subset_1(k18_pdiff_5(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3), k1_numbers)))) ) ) ).
fof(fc1_pdiff_6, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  =>  (v1_funct_1(k2_funcop_1(k1_euclid(B), k5_euclid(A))) &  (v1_funct_2(k2_funcop_1(k1_euclid(B), k5_euclid(A)), k1_euclid(B), k1_euclid(A)) &  (v1_pdiff_6(k2_funcop_1(k1_euclid(B), k5_euclid(A)), A, B) & v2_pdiff_6(k2_funcop_1(k1_euclid(B), k5_euclid(A)), A, B)) ) ) ) ) ).
fof(rc1_pdiff_6, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B), k1_euclid(A)))) &  (v1_relat_1(C) &  (v4_relat_1(C, k1_euclid(B)) &  (v5_relat_1(C, k1_euclid(A)) &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) &  (v1_partfun1(C, k1_euclid(B)) &  (v1_funct_2(C, k1_euclid(B), k1_euclid(A)) &  (v1_funcop_1(C) &  (v7_valued_2(C) &  (v8_valued_2(C) &  (v9_valued_2(C) &  (v1_pdiff_6(C, A, B) & v2_pdiff_6(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_pdiff_6, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))) =>  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_euclid(A), k1_euclid(B)) &  (v1_pdiff_6(C, B, A) & v2_pdiff_6(C, B, A)) ) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, k1_euclid(A), k1_euclid(B)) &  (v1_pdiff_6(C, B, A) &  (v2_pdiff_6(C, B, A) & v3_pdiff_6(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(cc2_pdiff_6, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))) =>  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))) &  (v13_vectsp_1(C, k4_real_ns1(A), k4_real_ns1(B)) & v1_lopban_1(C, k4_real_ns1(A), k4_real_ns1(B))) ) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))) &  (v13_vectsp_1(C, k4_real_ns1(A), k4_real_ns1(B)) &  (v1_lopban_1(C, k4_real_ns1(A), k4_real_ns1(B)) & v2_lopban_1(C, k4_real_ns1(A), k4_real_ns1(B))) ) ) ) ) ) ) ) ) ).
fof(t1_pdiff_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B), k1_euclid(A)))))  <=>  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(A)))))) ) ) ) ) ) ) ).
fof(t2_pdiff_6, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B), k1_euclid(A)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(A))))))  =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k4_real_ns1(B))) =>  ( (C=D & E=F)  =>  (r1_pdiff_1(B, A, C, E) <=> r1_ndiff_1(k4_real_ns1(B), k4_real_ns1(A), D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_pdiff_6, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B), k1_euclid(A)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(A))))))  =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k4_real_ns1(B))) =>  ( (C=D &  (E=F & r1_pdiff_1(B, A, C, E)) )  => k8_pdiff_1(B, A, C, E)=k3_ndiff_1(k4_real_ns1(B), k4_real_ns1(A), D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_pdiff_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B), k1_euclid(A)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B), k1_euclid(A)))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(A))))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(A))))))  =>  ( (C=E & D=F)  => k7_integr15(A, k1_euclid(B), C, D)=k6_vfunct_1(u1_struct_0(k4_real_ns1(B)), k4_real_ns1(A), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_pdiff_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B), k1_euclid(A)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B), k1_euclid(A)))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(A))))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(A))))))  =>  ( (C=E & D=F)  => k8_integr15(A, k1_euclid(B), C, D)=k2_vfunct_1(u1_struct_0(k4_real_ns1(B)), k4_real_ns1(A), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_pdiff_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B), k1_euclid(A)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(A))))))  =>  (! [E] :  (v1_xreal_0(E) =>  (C=D => k9_integr15(A, E, k1_euclid(B), C)=k4_vfunct_1(u1_struct_0(k4_real_ns1(B)), k4_real_ns1(A), D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_pdiff_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_euclid(B), k1_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B), k1_euclid(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_euclid(B), k1_euclid(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B), k1_euclid(A))))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k16_lopban_1(k4_real_ns1(B), k4_real_ns1(A)))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k16_lopban_1(k4_real_ns1(B), k4_real_ns1(A)))) =>  ( (C=E & D=F)  => k7_integr15(A, k1_euclid(B), C, D)=k3_rlvect_1(k16_lopban_1(k4_real_ns1(B), k4_real_ns1(A)), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_pdiff_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_euclid(B), k1_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B), k1_euclid(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_euclid(B), k1_euclid(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B), k1_euclid(A))))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k16_lopban_1(k4_real_ns1(B), k4_real_ns1(A)))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k16_lopban_1(k4_real_ns1(B), k4_real_ns1(A)))) =>  ( (C=E & D=F)  => k8_integr15(A, k1_euclid(B), C, D)=k5_algstr_0(k16_lopban_1(k4_real_ns1(B), k4_real_ns1(A)), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_pdiff_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_euclid(B), k1_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B), k1_euclid(A))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k16_lopban_1(k4_real_ns1(B), k4_real_ns1(A)))) =>  (! [E] :  (v1_xreal_0(E) =>  (C=D => k9_integr15(A, E, k1_euclid(B), C)=k1_rlvect_1(k16_lopban_1(k4_real_ns1(B), k4_real_ns1(A)), D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_pdiff_6, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (r1_pdiff_1(A, B, C, D) => m1_subset_1(k8_pdiff_1(A, B, C, D), u1_struct_0(k16_lopban_1(k4_real_ns1(A), k4_real_ns1(B))))) ) ) ) ) ) ) ) ) ).
fof(d1_pdiff_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_euclid(B), k1_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B), k1_euclid(A))))) )  =>  (v1_pdiff_6(C, A, B) <=>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(B)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(B)) => k3_funct_2(k1_euclid(B), k1_euclid(A), C, k7_euclid(B, D, E))=k7_euclid(A, k3_funct_2(k1_euclid(B), k1_euclid(A), C, D), k3_funct_2(k1_euclid(B), k1_euclid(A), C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_pdiff_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_euclid(B), k1_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B), k1_euclid(A))))) )  =>  (v2_pdiff_6(C, A, B) <=>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(B)) =>  (! [E] :  (v1_xreal_0(E) => k3_funct_2(k1_euclid(B), k1_euclid(A), C, k9_euclid(B, D, E))=k9_euclid(A, k3_funct_2(k1_euclid(B), k1_euclid(A), C, D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_pdiff_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_euclid(B), k1_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B), k1_euclid(A))))) )  =>  (v1_pdiff_6(C, A, B) => k3_funct_2(k1_euclid(B), k1_euclid(A), C, k5_euclid(B))=k5_euclid(A)) ) ) ) ) ) ) ).
fof(t12_pdiff_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_euclid(B), k1_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B), k1_euclid(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(A)))))) )  =>  (r1_funct_2(k1_euclid(B), k1_euclid(A), u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(A)), C, D) =>  (v1_pdiff_6(C, A, B) <=> v13_vectsp_1(D, k4_real_ns1(B), k4_real_ns1(A))) ) ) ) ) ) ) ) ) ) ).
fof(t13_pdiff_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_euclid(B), k1_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B), k1_euclid(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(A)))))) )  =>  (r1_funct_2(k1_euclid(B), k1_euclid(A), u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(A)), C, D) =>  (v2_pdiff_6(C, A, B) <=> v1_lopban_1(D, k4_real_ns1(B), k4_real_ns1(A))) ) ) ) ) ) ) ) ) ) ).
fof(t14_pdiff_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_euclid(B), k1_euclid(A)) &  (v1_pdiff_6(C, A, B) &  (v2_pdiff_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B), k1_euclid(A))))) ) ) )  <=>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(A))) &  (v13_vectsp_1(C, k4_real_ns1(B), k4_real_ns1(A)) &  (v1_lopban_1(C, k4_real_ns1(B), k4_real_ns1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(A)))))) ) ) ) ) ) ) ) ) ) ).
fof(d3_pdiff_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_euclid(A), k1_euclid(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B))))) )  =>  (v3_pdiff_6(C, A, B) <=>  (? [D] :  (v1_xreal_0(D) &  (r1_xxreal_0(k5_numbers, D) &  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) => r1_xxreal_0(k12_euclid(k3_funct_2(k1_euclid(A), k1_euclid(B), C, E)), k3_xcmplx_0(D, k12_euclid(E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_pdiff_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k1_euclid(A)) =>  (! [C] :  (m2_finseq_1(C, k1_euclid(A)) =>  ~ ( (k3_finseq_1(B)=k1_nat_1(k3_finseq_1(C), 1) &  (k17_finseq_1(k1_euclid(A), k3_finseq_1(C), B)=C &  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  ~ ( (D=k1_funct_1(B, k3_finseq_1(B)) & k5_euclid_7(A, B)=k7_euclid(A, k5_euclid_7(A, C), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_pdiff_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_euclid(B), k1_euclid(A)) &  (v1_pdiff_6(C, A, B) &  (v2_pdiff_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B), k1_euclid(A))))) ) ) )  =>  (! [D] :  (m2_finseq_1(D, k1_euclid(B)) =>  (! [E] :  (m2_finseq_1(E, k1_euclid(A)) =>  ( (k3_finseq_1(D)=k3_finseq_1(E) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k4_finseq_1(D)) => k1_funct_1(E, F)=k1_funct_1(C, k1_funct_1(D, F))) ) ) )  => k5_euclid_7(A, E)=k3_funct_2(k1_euclid(B), k1_euclid(A), C, k5_euclid_7(B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_pdiff_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k1_euclid(A)) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(D, k4_finseq_1(B)) &  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  ~ ( (E=k1_funct_1(B, D) & k1_funct_1(C, D)=k12_euclid(E)) ) ) ) ) ) ) ) )  => r1_xxreal_0(k12_euclid(k5_euclid_7(A, B)), k18_rvsum_1(C))) ) ) ) ) ) ) ).
fof(t18_pdiff_6, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (r1_pdiff_1(A, B, C, D) =>  (v1_funct_1(k8_pdiff_1(A, B, C, D)) &  (v1_funct_2(k8_pdiff_1(A, B, C, D), u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))) &  (v13_vectsp_1(k8_pdiff_1(A, B, C, D), k4_real_ns1(A), k4_real_ns1(B)) &  (v1_lopban_1(k8_pdiff_1(A, B, C, D), k4_real_ns1(A), k4_real_ns1(B)) & m1_subset_1(k8_pdiff_1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_pdiff_6, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (r1_pdiff_1(A, B, C, D) =>  (v1_funct_1(k8_pdiff_1(A, B, C, D)) &  (v1_funct_2(k8_pdiff_1(A, B, C, D), k1_euclid(A), k1_euclid(B)) &  (v1_pdiff_6(k8_pdiff_1(A, B, C, D), B, A) &  (v2_pdiff_6(k8_pdiff_1(A, B, C, D), B, A) & m1_subset_1(k8_pdiff_1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_pdiff_6, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B), k1_euclid(A)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B), k1_euclid(A)))))  =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(B)) =>  ( (r1_pdiff_1(B, A, C, E) & r1_pdiff_1(B, A, D, E))  =>  (r1_pdiff_1(B, A, k7_integr15(A, k1_euclid(B), C, D), E) & r2_relset_1(k1_euclid(B), k1_euclid(A), k8_pdiff_1(B, A, k7_integr15(A, k1_euclid(B), C, D), E), k7_integr15(A, k1_euclid(B), k8_pdiff_1(B, A, C, E), k8_pdiff_1(B, A, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_pdiff_6, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B), k1_euclid(A)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B), k1_euclid(A)))))  =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(B)) =>  ( (r1_pdiff_1(B, A, C, E) & r1_pdiff_1(B, A, D, E))  =>  (r1_pdiff_1(B, A, k8_integr15(A, k1_euclid(B), C, D), E) & r2_relset_1(k1_euclid(B), k1_euclid(A), k8_pdiff_1(B, A, k8_integr15(A, k1_euclid(B), C, D), E), k8_integr15(A, k1_euclid(B), k8_pdiff_1(B, A, C, E), k8_pdiff_1(B, A, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_pdiff_6, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B), k1_euclid(A)))))  =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(B)) =>  (! [E] :  (v1_xreal_0(E) =>  (r1_pdiff_1(B, A, C, D) =>  (r1_pdiff_1(B, A, k9_integr15(A, E, k1_euclid(B), C), D) & r2_relset_1(k1_euclid(B), k1_euclid(A), k8_pdiff_1(B, A, k9_integr15(A, E, k1_euclid(B), C), D), k9_integr15(A, E, k1_euclid(B), k8_pdiff_1(B, A, C, D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_pdiff_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k4_real_ns1(B))) => k3_funct_2(u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(1)), k4_pdiff_1(A, B), k3_rlvect_1(k4_real_ns1(B), C, D))=k3_rlvect_1(k4_real_ns1(1), k3_funct_2(u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(1)), k4_pdiff_1(A, B), C), k3_funct_2(u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(1)), k4_pdiff_1(A, B), D))) ) ) ) ) ) ) ) ).
fof(t27_pdiff_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(B))) =>  (! [D] :  (v1_xreal_0(D) => k3_funct_2(u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(1)), k4_pdiff_1(A, B), k1_rlvect_1(k4_real_ns1(B), C, D))=k1_rlvect_1(k4_real_ns1(1), k3_funct_2(u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(1)), k4_pdiff_1(A, B), C), D)) ) ) ) ) ) ) ) ).
fof(t28_pdiff_6, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k4_real_ns1(A))) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, B) & r1_ndiff_1(k4_real_ns1(A), k4_real_ns1(B), C, D)) )  =>  (r1_ndiff_1(k4_real_ns1(A), k4_real_ns1(1), k1_partfun1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(1)), C, k4_pdiff_1(E, B)), D) & k3_relat_1(k3_ndiff_1(k4_real_ns1(A), k4_real_ns1(B), C, D), k4_pdiff_1(E, B))=k3_ndiff_1(k4_real_ns1(A), k4_real_ns1(1), k1_partfun1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(1)), C, k4_pdiff_1(E, B)), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_pdiff_6, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k4_real_ns1(A))) =>  (r1_ndiff_1(k4_real_ns1(A), k4_real_ns1(B), C, D) <=>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, B))  => r1_ndiff_1(k4_real_ns1(A), k4_real_ns1(1), k1_partfun1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(1)), C, k4_pdiff_1(E, B)), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_pdiff_6, axiom,  (! [A] :  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(C), k1_euclid(B)))))  =>  (r1_pdiff_6(A, B, C, D) <=>  (r1_tarski(A, k1_relset_1(k1_euclid(C), D)) &  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(C)) =>  (r2_tarski(E, A) => r1_pdiff_1(C, B, k2_partfun1(k1_euclid(C), k1_euclid(B), D, A), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_pdiff_6, axiom,  (! [A] :  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B), k1_euclid(C)))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(C))))))  =>  (D=E =>  (r1_pdiff_6(A, C, B, D) <=> r2_ndiff_1(A, k4_real_ns1(B), k4_real_ns1(C), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_pdiff_6, axiom,  (! [A] :  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B), k1_euclid(C)))))  =>  (r1_pdiff_6(A, C, B, D) => m1_subset_1(A, k1_zfmisc_1(k1_euclid(B)))) ) ) ) ) ) ) ) ).
fof(t32_pdiff_6, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_euclid(A))) =>  ( (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k4_real_ns1(A)))) &  (D=E & v3_nfcont_1(E, k4_real_ns1(A))) ) )  =>  (r1_pdiff_6(D, B, A, C) <=>  (r1_tarski(D, k1_relset_1(k1_euclid(A), C)) &  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (r2_tarski(E, D) => r1_pdiff_1(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_pdiff_6, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_euclid(A))) =>  ~ ( (r1_pdiff_6(D, B, A, C) &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k4_real_ns1(A)))) =>  ~ ( (D=E & v3_nfcont_1(E, k4_real_ns1(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_pdiff_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(A))) =>  (! [D] :  (v1_xreal_0(D) =>  (B=C => a_3_0_pdiff_6(A, B, D)=a_3_1_pdiff_6(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t24_pdiff_6, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_euclid(A), k1_euclid(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k1_euclid(A), k1_euclid(B)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B))))) )  =>  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_euclid(A), k1_euclid(B)) &  (v1_pdiff_6(E, B, A) &  (v2_pdiff_6(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B))))) ) ) )  =>  ( (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(G, k5_numbers))  &  (r1_tarski(a_3_2_pdiff_6(A, D, G), k1_relset_1(k1_euclid(A), C)) &  ( (! [H] :  (v1_xreal_0(H) =>  ~ ( ( ~ (r1_xxreal_0(H, k5_numbers))  &  (! [I] :  (v1_xreal_0(I) =>  ~ ( ( ~ (r1_xxreal_0(I, k5_numbers))  &  (! [J] :  (m2_finseq_2(J, k1_numbers, k1_euclid(A)) =>  (! [K] :  (m2_finseq_2(K, k1_numbers, k1_euclid(B)) =>  ~ ( ( ~ (J=k5_euclid(A))  &  ( ~ (r1_xxreal_0(I, k12_euclid(J)))  &  (K=k3_funct_2(k1_euclid(A), k1_euclid(B), F, J) & r1_xxreal_0(H, k3_xcmplx_0(k5_xcmplx_0(k12_euclid(J)), k12_euclid(K)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (! [H] :  (m2_finseq_2(H, k1_numbers, k1_euclid(A)) =>  ( ~ (r1_xxreal_0(G, k12_euclid(k8_euclid(A, H, D))))  => k8_euclid(B, k7_partfun1(k1_euclid(B), C, H), k7_partfun1(k1_euclid(B), C, D))=k7_euclid(B, k3_funct_2(k1_euclid(A), k1_euclid(B), E, k8_euclid(A, H, D)), k3_funct_2(k1_euclid(A), k1_euclid(B), F, k8_euclid(A, H, D)))) ) ) ) ) ) ) ) )  |  (r1_pdiff_1(A, B, C, D) & r2_funct_2(k1_euclid(A), k1_euclid(B), k8_pdiff_1(A, B, C, D), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_pdiff_6, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (r1_pdiff_1(A, B, C, D) <=>  (? [E] :  (v1_xreal_0(E) &  ( ~ (r1_xxreal_0(E, k5_numbers))  &  (r1_tarski(a_3_2_pdiff_6(A, D, E), k1_relset_1(k1_euclid(A), C)) &  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k1_euclid(A), k1_euclid(B)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B))))) )  &  (? [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k1_euclid(A), k1_euclid(B)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B))))) )  &  ( (v1_funct_1(F) &  (v1_funct_2(F, k1_euclid(A), k1_euclid(B)) &  (v1_pdiff_6(F, B, A) &  (v2_pdiff_6(F, B, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B))))) ) ) )  &  ( (! [H] :  (v1_xreal_0(H) =>  ~ ( ( ~ (r1_xxreal_0(H, k5_numbers))  &  (! [I] :  (v1_xreal_0(I) =>  ~ ( ( ~ (r1_xxreal_0(I, k5_numbers))  &  (! [J] :  (m2_finseq_2(J, k1_numbers, k1_euclid(A)) =>  (! [K] :  (m2_finseq_2(K, k1_numbers, k1_euclid(B)) =>  ~ ( ( ~ (J=k5_euclid(A))  &  ( ~ (r1_xxreal_0(I, k12_euclid(J)))  &  (K=k3_funct_2(k1_euclid(A), k1_euclid(B), G, J) & r1_xxreal_0(H, k3_xcmplx_0(k5_xcmplx_0(k12_euclid(J)), k12_euclid(K)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (! [H] :  (m2_finseq_2(H, k1_numbers, k1_euclid(A)) =>  ( ~ (r1_xxreal_0(E, k12_euclid(k8_euclid(A, H, D))))  => k8_euclid(B, k7_partfun1(k1_euclid(B), C, H), k7_partfun1(k1_euclid(B), C, D))=k7_euclid(B, k3_funct_2(k1_euclid(A), k1_euclid(B), F, k8_euclid(A, H, D)), k3_funct_2(k1_euclid(A), k1_euclid(B), G, k8_euclid(A, H, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_pdiff_6, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(B) &  (m2_finseq_2(C, k1_numbers, k1_euclid(B)) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_0_pdiff_6(B, C, D)) <=>  (? [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(B)) &  (A=E &  ~ (r1_xxreal_0(D, k12_euclid(k8_euclid(B, E, C)))) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_pdiff_6, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(B) &  (m1_subset_1(C, u1_struct_0(k4_real_ns1(B))) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_1_pdiff_6(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(k4_real_ns1(B))) &  (A=E &  ~ (r1_xxreal_0(D, k2_normsp_0(k4_real_ns1(B), k5_algstr_0(k4_real_ns1(B), E, C)))) ) ) ) ) ) ) ).
fof(fraenkel_a_3_2_pdiff_6, axiom,  (! [A, B, C, D] :  ( ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  &  (m2_finseq_2(C, k1_numbers, k1_euclid(B)) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_2_pdiff_6(B, C, D)) <=>  (? [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(B)) &  (A=E &  ~ (r1_xxreal_0(D, k12_euclid(k8_euclid(B, E, C)))) ) ) ) ) ) ) ).
fof(ie1_pdiff_7, axiom,  (! [A, B, C, D, E] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) &  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) &  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v1_finseq_1(D) & v3_valued_0(D)) ) )  &  (v1_relat_1(E) &  (v1_funct_1(E) &  (v1_finseq_1(E) & v3_valued_0(E)) ) ) ) ) ) )  =>  ( (B=D & C=E)  => k3_rlvect_1(k15_euclid(A), B, C)=k1_valued_1(D, E)) ) ) ).
fof(ie2_pdiff_7, axiom,  (! [A, B, C, D, E] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v7_ordinal1(C) &  (m1_subset_1(D, u1_struct_0(k15_euclid(C))) &  (v1_relat_1(E) &  (v1_funct_1(E) &  (v1_finseq_1(E) & v3_valued_0(E)) ) ) ) ) ) )  =>  ( (A=B & D=E)  => k1_rlvect_1(k15_euclid(C), D, A)=k10_rvsum_1(E, B)) ) ) ).
fof(ie3_pdiff_7, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) &  (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) & v3_valued_0(C)) ) ) ) )  =>  (B=C => k4_algstr_0(k15_euclid(A), B)=k30_valued_1(C)) ) ) ).
fof(ie4_pdiff_7, axiom,  (! [A, B, C, D, E] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) &  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) &  ( (v1_relat_1(D) &  (v1_funct_1(D) &  (v1_finseq_1(D) & v3_valued_0(D)) ) )  &  (v1_relat_1(E) &  (v1_funct_1(E) &  (v1_finseq_1(E) & v3_valued_0(E)) ) ) ) ) ) )  =>  ( (B=D & C=E)  => k5_algstr_0(k15_euclid(A), B, C)=k45_valued_1(D, E)) ) ) ).
fof(fc1_pdiff_7, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  &  (v7_ordinal1(B) & v1_xreal_0(C)) )  =>  (v1_relat_1(k1_funct_7(A, B, C)) &  (v1_funct_1(k1_funct_7(A, B, C)) & v3_valued_0(k1_funct_7(A, B, C))) ) ) ) ).
fof(t1_pdiff_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(A, B) => k17_finseq_1(k1_numbers, A, k5_euclid(B))=k5_euclid(A)) ) ) ) ) ).
fof(t2_pdiff_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(A, B) => k17_finseq_1(k1_numbers, k7_nat_d(A, 1), k5_euclid(B))=k5_euclid(k7_nat_d(A, 1))) ) ) ) ) ).
fof(t3_pdiff_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k2_rfinseq(k1_numbers, A, k5_euclid(B))=k5_euclid(k7_nat_d(B, A))) ) ) ) ).
fof(t4_pdiff_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(A, B) => k17_finseq_1(k1_numbers, k7_nat_d(A, 1), k5_euclid(B))=k5_euclid(k7_nat_d(A, 1)))  & k2_rfinseq(k1_numbers, A, k5_euclid(B))=k5_euclid(k7_nat_d(B, A))) ) ) ) ) ).
fof(t5_pdiff_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(1))) =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, B))  => k2_normsp_0(k4_real_ns1(B), k3_funct_2(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(B)), k7_pdiff_1(B, A, k4_struct_0(k4_real_ns1(B))), C))=k2_normsp_0(k4_real_ns1(1), C)) ) ) ) ) ) ) ).
fof(t6_pdiff_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (k45_valued_1(k1_funct_1(k6_pdiff_1(A, B, C), D), C)=k1_funct_1(k6_pdiff_1(A, B, k5_euclid(A)), k6_xcmplx_0(D, k3_funct_2(k1_euclid(A), k1_numbers, k1_pdiff_1(B, A), C))) & k45_valued_1(C, k1_funct_1(k6_pdiff_1(A, B, C), D))=k1_funct_1(k6_pdiff_1(A, B, k5_euclid(A)), k6_xcmplx_0(k3_funct_2(k1_euclid(A), k1_numbers, k1_pdiff_1(B, A), C), D))) ) ) ) ) ) ) ) ) ).
fof(t7_pdiff_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k4_real_ns1(1))) =>  (k5_algstr_0(k4_real_ns1(A), k3_funct_2(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), k7_pdiff_1(A, B, C), D), C)=k3_funct_2(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), k7_pdiff_1(A, B, k4_struct_0(k4_real_ns1(A))), k5_algstr_0(k4_real_ns1(1), D, k3_funct_2(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(1)), k4_pdiff_1(B, A), C))) & k5_algstr_0(k4_real_ns1(A), C, k3_funct_2(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), k7_pdiff_1(A, B, C), D))=k3_funct_2(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), k7_pdiff_1(A, B, k4_struct_0(k4_real_ns1(A))), k5_algstr_0(k4_real_ns1(1), k3_funct_2(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(1)), k4_pdiff_1(B, A), C), D))) ) ) ) ) ) ) ) ) ).
fof(t8_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k4_real_ns1(A)))) =>  ( (v3_nfcont_1(E, k4_real_ns1(A)) &  (r1_xxreal_0(1, C) & r1_xxreal_0(C, A)) )  =>  (r7_pdiff_1(A, B, C, D, E) <=>  (r1_tarski(E, k1_relset_1(u1_struct_0(k4_real_ns1(A)), D)) &  (! [F] :  (m1_subset_1(F, u1_struct_0(k4_real_ns1(A))) =>  (r2_tarski(F, E) => r2_pdiff_1(B, A, C, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, A))  => k1_finseq_7(k1_numbers, k5_euclid(A), D, k3_real_1(B, C))=k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k1_finseq_7(k1_numbers, k5_euclid(A), D, B), k1_finseq_7(k1_numbers, k5_euclid(A), D, C))) ) ) ) ) ) ) ) ) ).
fof(t10_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, A))  => k1_funct_7(k5_euclid(A), D, k3_xcmplx_0(C, B))=k10_rvsum_1(k1_funct_7(k5_euclid(A), D, B), C)) ) ) ) ) ) ) ) ) ).
fof(t11_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, A) &  ( ~ (B=k5_numbers)  & k1_finseq_7(k1_numbers, k5_euclid(A), C, B)=k5_euclid(A)) ) ) ) ) ) ) ) ) ) ).
fof(t12_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, A) & C=k3_funct_2(k1_euclid(A), k1_numbers, k1_pdiff_1(E, A), D)) )  =>  (k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k1_finseq_7(k1_numbers, D, E, B), D)=k2_funct_7(k1_numbers, k5_euclid(A), E, k5_real_1(B, C)) & k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, D, k1_finseq_7(k1_numbers, D, E, B))=k2_funct_7(k1_numbers, k5_euclid(A), E, k5_real_1(C, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, A))  => k3_funct_2(k1_numbers, k1_euclid(A), k6_pdiff_1(A, D, k5_euclid(A)), k3_real_1(B, C))=k7_euclid(A, k3_funct_2(k1_numbers, k1_euclid(A), k6_pdiff_1(A, D, k5_euclid(A)), B), k3_funct_2(k1_numbers, k1_euclid(A), k6_pdiff_1(A, D, k5_euclid(A)), C))) ) ) ) ) ) ) ) ) ).
fof(t14_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_real_ns1(1))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(1))) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, A))  => k3_funct_2(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), k7_pdiff_1(A, D, k4_struct_0(k4_real_ns1(A))), k3_rlvect_1(k4_real_ns1(1), B, C))=k3_rlvect_1(k4_real_ns1(A), k3_funct_2(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), k7_pdiff_1(A, D, k4_struct_0(k4_real_ns1(A))), B), k3_funct_2(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), k7_pdiff_1(A, D, k4_struct_0(k4_real_ns1(A))), C))) ) ) ) ) ) ) ) ) ).
fof(t15_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, A))  => k1_funct_1(k6_pdiff_1(A, D, k5_euclid(A)), k3_xcmplx_0(C, B))=k24_valued_1(k1_funct_1(k6_pdiff_1(A, D, k5_euclid(A)), B), C)) ) ) ) ) ) ) ) ) ).
fof(t16_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_real_ns1(1))) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, A))  => k3_funct_2(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), k7_pdiff_1(A, D, k4_struct_0(k4_real_ns1(A))), k1_rlvect_1(k4_real_ns1(1), B, C))=k1_rlvect_1(k4_real_ns1(A), k3_funct_2(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), k7_pdiff_1(A, D, k4_struct_0(k4_real_ns1(A))), B), C)) ) ) ) ) ) ) ) ) ).
fof(t17_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, A) &  ( ~ (B=k5_numbers)  & k3_funct_2(k1_numbers, k1_euclid(A), k6_pdiff_1(A, C, k5_euclid(A)), B)=k5_euclid(A)) ) ) ) ) ) ) ) ) ) ).
fof(t18_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_real_ns1(1))) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, A) &  ( ~ (B=k4_struct_0(k4_real_ns1(1)))  & k3_funct_2(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), k7_pdiff_1(A, C, k4_struct_0(k4_real_ns1(A))), B)=k4_struct_0(k4_real_ns1(A))) ) ) ) ) ) ) ) ) ) ).
fof(t19_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_numbers) =>  (! [C] :  (m1_subset_1(C, k1_numbers) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, A) & C=k3_funct_2(k1_euclid(A), k1_numbers, k1_pdiff_1(E, A), D)) )  =>  (k8_euclid(A, k3_funct_2(k1_numbers, k1_euclid(A), k6_pdiff_1(A, E, D), B), D)=k3_funct_2(k1_numbers, k1_euclid(A), k6_pdiff_1(A, E, k5_euclid(A)), k5_real_1(B, C)) & k8_euclid(A, D, k3_funct_2(k1_numbers, k1_euclid(A), k6_pdiff_1(A, E, D), B))=k3_funct_2(k1_numbers, k1_euclid(A), k6_pdiff_1(A, E, k5_euclid(A)), k5_real_1(C, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_real_ns1(1))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(1))) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k4_real_ns1(A))) =>  ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, A) & C=k3_funct_2(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(1)), k4_pdiff_1(D, A), E)) )  =>  (k5_algstr_0(k4_real_ns1(A), k3_funct_2(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), k7_pdiff_1(A, D, E), B), E)=k3_funct_2(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), k7_pdiff_1(A, D, k4_struct_0(k4_real_ns1(A))), k5_algstr_0(k4_real_ns1(1), B, C)) & k5_algstr_0(k4_real_ns1(A), E, k3_funct_2(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), k7_pdiff_1(A, D, E), B))=k3_funct_2(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(A)), k7_pdiff_1(A, D, k4_struct_0(k4_real_ns1(A))), k5_algstr_0(k4_real_ns1(1), C, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(A))))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k4_real_ns1(B))) =>  ( (r1_ndiff_1(k4_real_ns1(B), k4_real_ns1(A), D, E) &  (r1_xxreal_0(1, C) & r1_xxreal_0(C, B)) )  =>  (r2_pdiff_1(A, B, C, D, E) & k9_pdiff_1(B, A, C, D, E)=k3_relat_1(k7_pdiff_1(B, C, k4_struct_0(k4_real_ns1(B))), k3_ndiff_1(k4_real_ns1(B), k4_real_ns1(A), D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B), k1_euclid(A)))))  =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(B)) =>  ( (r1_pdiff_1(B, A, D, E) &  (r1_xxreal_0(1, C) & r1_xxreal_0(C, B)) )  =>  (r4_pdiff_1(B, A, C, D, E) & k11_pdiff_1(B, A, C, D, E)=k1_funct_1(k1_partfun1(u1_struct_0(k4_real_ns1(1)), u1_struct_0(k4_real_ns1(B)), k1_euclid(B), k1_euclid(A), k7_pdiff_1(B, C, k4_struct_0(k4_real_ns1(B))), k8_pdiff_1(B, A, D, E)), k12_finseq_1(k4_ordinal1, 1))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (r1_pdiff_7(A, B, C) <=> r1_pdiff_1(A, 1, k3_pdiff_1(A, B), C)) ) ) ) ) ) ) ).
fof(d2_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) => k1_pdiff_7(A, B, C)=k1_partfun1(k1_euclid(A), k1_euclid(1), k1_euclid(1), k1_numbers, k8_pdiff_1(A, 1, k3_pdiff_1(A, B), C), k1_pdiff_1(1, 1))) ) ) ) ) ) ).
fof(t23_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  ( (r1_pdiff_7(A, C, D) &  (r1_xxreal_0(1, B) & r1_xxreal_0(B, A)) )  =>  (r3_pdiff_1(A, B, C, D) &  (k10_pdiff_1(A, B, C, D)=k1_fdiff_1(k1_partfun1(k1_numbers, k1_euclid(A), k1_euclid(A), k1_numbers, k6_pdiff_1(A, B, D), C), k3_funct_2(k1_euclid(A), k1_numbers, k1_pdiff_1(B, A), D)) & k10_pdiff_1(A, B, C, D)=k1_funct_1(k1_pdiff_7(A, C, D), k1_funct_1(k6_pdiff_1(A, B, k5_euclid(A)), 1))) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m2_finseq_1(B, k1_euclid(A)) =>  (! [C] :  (m2_finseq_1(C, k1_euclid(A)) =>  (! [D] :  (m2_finseq_1(D, k1_euclid(A)) =>  ( (k4_finseq_1(B)=k4_finseq_1(C) & r2_relset_1(k4_ordinal1, k1_euclid(A), D, k7_integr15(A, k4_ordinal1, B, C)))  => k5_euclid_7(A, D)=k7_euclid(A, k5_euclid_7(A, B), k5_euclid_7(A, C))) ) ) ) ) ) ) ) ) ).
fof(t25_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m2_finseq_1(C, k1_euclid(A)) =>  (! [D] :  (m2_finseq_1(D, k1_euclid(A)) =>  (r2_relset_1(k4_ordinal1, k1_euclid(A), D, k9_integr15(A, B, k4_ordinal1, C)) => k5_euclid_7(A, D)=k9_euclid(A, k5_euclid_7(A, C), B)) ) ) ) ) ) ) ) ) ).
fof(t26_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m2_finseq_1(B, k1_euclid(A)) =>  (! [C] :  (m2_finseq_1(C, k1_euclid(A)) =>  ( (k3_finseq_1(B)=k2_xcmplx_0(k3_finseq_1(C), 1) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(C)) => k7_partfun1(k1_euclid(A), C, D)=k8_euclid(A, k7_partfun1(k1_euclid(A), B, D), k7_partfun1(k1_euclid(A), B, k2_xcmplx_0(D, 1)))) ) ) )  => k8_euclid(A, k7_partfun1(k1_euclid(A), B, 1), k7_partfun1(k1_euclid(A), B, k3_finseq_1(B)))=k5_euclid_7(A, C)) ) ) ) ) ) ) ).
fof(t27_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m2_finseq_1(B, k1_euclid(A)) =>  (! [C] :  (m2_finseq_1(C, k1_euclid(A)) =>  (! [D] :  (m2_finseq_1(D, k1_euclid(A)) =>  ( (k3_finseq_1(B)=k3_finseq_1(D) &  (k3_finseq_1(C)=k3_finseq_1(D) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) => k7_partfun1(k1_euclid(A), D, E)=k8_euclid(A, k7_partfun1(k1_euclid(A), B, E), k7_partfun1(k1_euclid(A), C, E))) ) ) ) )  => k5_euclid_7(A, D)=k8_euclid(A, k5_euclid_7(A, B), k5_euclid_7(A, C))) ) ) ) ) ) ) ) ) ).
fof(t28_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (? [F] :  (m2_finseq_1(F, k1_euclid(A)) &  (? [G] :  (m2_finseq_1(G, k1_euclid(B)) &  (k3_finseq_1(F)=k2_xcmplx_0(A, 1) &  (k3_finseq_1(G)=A &  ( (! [H] :  (v7_ordinal1(H) =>  (r2_tarski(H, k4_finseq_1(F)) => k7_partfun1(k1_euclid(A), F, H)=k8_finseq_1(k1_numbers, k17_finseq_1(k1_numbers, k7_nat_d(k2_xcmplx_0(A, 1), H), E), k5_euclid(k7_nat_d(H, 1)))) ) )  &  ( (! [H] :  (v7_ordinal1(H) =>  (r2_tarski(H, k4_finseq_1(G)) => k7_partfun1(k1_euclid(B), G, H)=k8_euclid(B, k7_partfun1(k1_euclid(B), C, k7_euclid(A, D, k7_partfun1(k1_euclid(A), F, H))), k7_partfun1(k1_euclid(B), C, k7_euclid(A, D, k7_partfun1(k1_euclid(A), F, k2_xcmplx_0(H, 1)))))) ) )  &  ( (! [H] :  (v7_ordinal1(H) =>  (! [I] :  (m2_finseq_2(I, k1_numbers, k1_euclid(A)) =>  ( (r2_tarski(H, k4_finseq_1(F)) & k7_partfun1(k1_euclid(A), F, H)=I)  => r1_xxreal_0(k12_euclid(I), k12_euclid(E))) ) ) ) )  & k8_euclid(B, k7_partfun1(k1_euclid(B), C, k7_euclid(A, D, E)), k7_partfun1(k1_euclid(B), C, D))=k5_euclid_7(B, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(1)))))  =>  (? [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  & r2_relset_1(k1_euclid(A), k1_euclid(1), B, k3_pdiff_1(A, C))) ) ) ) ) ) ).
fof(t30_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k4_real_ns1(A))) =>  ( (r2_tarski(E, k1_relset_1(k1_euclid(A), C)) &  (E=F & C=D) )  => k7_partfun1(k1_euclid(B), C, E)=k7_partfun1(u1_struct_0(k4_real_ns1(B)), D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) =>  (v1_pdiff_7(B, A) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k4_real_ns1(A)))) &  (C=B & v3_nfcont_1(C, k4_real_ns1(A))) ) ) ) ) ) ) ) ).
fof(d4_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [E] :  (r2_pdiff_7(A, B, C, D, E) <=>  (r1_tarski(E, k1_relset_1(k1_euclid(A), D)) &  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(A)) =>  (r2_tarski(F, E) => r4_pdiff_1(A, B, C, k2_partfun1(k1_euclid(A), k1_euclid(B), D, E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_pdiff_7, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (! [D] :  ( (v7_ordinal1(D) &  ~ (v8_ordinal1(D)) )  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(C), k1_euclid(D)))))  =>  (r2_pdiff_7(C, D, A, E, B) => m1_subset_1(B, k1_zfmisc_1(k1_euclid(C)))) ) ) ) ) ) ) ) ) ) ).
fof(t33_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  =>  (! [F] :  (D=E =>  (r2_pdiff_7(A, B, C, D, F) <=> r7_pdiff_1(A, B, C, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_euclid(A))) =>  ( (v1_pdiff_7(E, A) &  (r1_xxreal_0(1, C) & r1_xxreal_0(C, A)) )  =>  (r2_pdiff_7(A, B, C, D, E) <=>  (r1_tarski(E, k1_relset_1(k1_euclid(A), D)) &  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(A)) =>  (r2_tarski(F, E) => r4_pdiff_1(A, B, C, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [E] :  (r2_pdiff_7(A, B, C, D, E) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (F=k2_pdiff_7(A, B, C, D, E) <=>  (k1_relset_1(k1_euclid(A), F)=E &  (! [G] :  (m2_finseq_2(G, k1_numbers, k1_euclid(A)) =>  (r2_tarski(G, E) => k7_partfun1(k1_euclid(B), F, G)=k11_pdiff_1(A, B, C, D, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (r3_pdiff_7(A, B, C, D) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(k4_real_ns1(A))) &  (? [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  &  (D=E &  (C=F & r1_nfcont_1(k4_real_ns1(A), k4_real_ns1(B), F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k4_real_ns1(A))) =>  ( (C=D & E=F)  =>  (r3_pdiff_7(A, B, C, E) <=> r1_nfcont_1(k4_real_ns1(A), k4_real_ns1(B), D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (r3_pdiff_7(A, B, C, D) <=>  (r2_tarski(D, k1_relset_1(k1_euclid(A), C)) &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(F, k5_numbers))  &  (! [G] :  (m2_finseq_2(G, k1_numbers, k1_euclid(A)) =>  ~ ( (r2_tarski(G, k1_relset_1(k1_euclid(A), C)) &  ( ~ (r1_xxreal_0(F, k12_euclid(k8_euclid(A, G, D))))  & r1_xxreal_0(E, k12_euclid(k8_euclid(B, k7_partfun1(k1_euclid(B), C, G), k7_partfun1(k1_euclid(B), C, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [D] :  (r4_pdiff_7(A, B, C, D) <=>  (r1_tarski(D, k1_relset_1(k1_euclid(A), C)) &  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (r2_tarski(E, D) => r3_pdiff_7(A, B, k2_partfun1(k1_euclid(A), k1_euclid(B), C, D), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  =>  (! [E] :  (C=D =>  (r4_pdiff_7(A, B, C, E) <=> r3_nfcont_1(k4_real_ns1(A), k4_real_ns1(B), D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [D] :  (r4_pdiff_7(A, B, C, D) <=>  (r1_tarski(D, k1_relset_1(k1_euclid(A), C)) &  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( (r2_tarski(E, D) &  ( ~ (r1_xxreal_0(F, k5_numbers))  &  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(G, k5_numbers))  &  (! [H] :  (m2_finseq_2(H, k1_numbers, k1_euclid(A)) =>  ~ ( (r2_tarski(H, D) &  ( ~ (r1_xxreal_0(G, k12_euclid(k8_euclid(A, H, E))))  & r1_xxreal_0(F, k12_euclid(k8_euclid(B, k7_partfun1(k1_euclid(B), C, H), k7_partfun1(k1_euclid(B), C, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v1_xreal_0(E) =>  ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, A) & C=k1_funct_1(k6_pdiff_1(A, D, B), E)) )  => k3_funct_2(k1_euclid(A), k1_numbers, k1_pdiff_1(D, A), C)=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, A) & D=k1_funct_1(k6_pdiff_1(A, E, C), F)) )  => r2_funct_2(k1_numbers, k1_euclid(A), k6_pdiff_1(A, E, C), k6_pdiff_1(A, E, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v1_xreal_0(G) =>  ( (r1_xxreal_0(1, F) &  (r1_xxreal_0(F, A) &  (E=k1_funct_1(k6_pdiff_1(A, F, D), G) & r2_relset_1(k1_numbers, k1_numbers, C, k1_partfun1(k1_numbers, k1_euclid(A), k1_euclid(A), k1_numbers, k6_pdiff_1(A, F, D), B))) ) )  => k1_fdiff_1(C, G)=k10_pdiff_1(A, F, B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r1_xxreal_0(1, F) &  (r1_xxreal_0(F, A) &  ( ~ (r1_xxreal_0(D, C))  &  ( (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, k1_rcomp_1(C, D)) => r2_tarski(k1_funct_1(k6_pdiff_1(A, F, E), G), k1_relset_1(k1_euclid(A), B))) ) )  &  ( (! [G] :  (m1_subset_1(G, k1_numbers) =>  (r2_tarski(G, k1_rcomp_1(C, D)) => r3_pdiff_1(A, F, B, k3_funct_2(k1_numbers, k1_euclid(A), k6_pdiff_1(A, F, E), G))) ) )  &  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (m2_finseq_2(H, k1_numbers, k1_euclid(A)) =>  ~ ( (r2_hidden(G, k2_rcomp_1(C, D)) &  (H=k1_funct_1(k6_pdiff_1(A, F, E), G) & k5_real_1(k7_partfun1(k1_numbers, B, k1_funct_1(k6_pdiff_1(A, F, E), D)), k7_partfun1(k1_numbers, B, k1_funct_1(k6_pdiff_1(A, F, E), C)))=k3_xcmplx_0(k6_xcmplx_0(D, C), k10_pdiff_1(A, F, B, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r1_xxreal_0(1, F) &  (r1_xxreal_0(F, A) &  (r1_xxreal_0(C, D) &  ( (! [G] :  (v1_xreal_0(G) =>  (r2_hidden(G, k1_rcomp_1(C, D)) => r2_tarski(k1_funct_1(k6_pdiff_1(A, F, E), G), k1_relset_1(k1_euclid(A), B))) ) )  &  ( (! [G] :  (m1_subset_1(G, k1_numbers) =>  (r2_tarski(G, k1_rcomp_1(C, D)) => r3_pdiff_1(A, F, B, k3_funct_2(k1_numbers, k1_euclid(A), k6_pdiff_1(A, F, E), G))) ) )  &  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (m2_finseq_2(H, k1_numbers, k1_euclid(A)) =>  ~ ( (r2_hidden(G, k1_rcomp_1(C, D)) &  (H=k1_funct_1(k6_pdiff_1(A, F, E), G) & k5_real_1(k7_partfun1(k1_numbers, B, k1_funct_1(k6_pdiff_1(A, F, E), D)), k7_partfun1(k1_numbers, B, k1_funct_1(k6_pdiff_1(A, F, E), C)))=k3_xcmplx_0(k6_xcmplx_0(D, C), k10_pdiff_1(A, F, B, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  (! [J] :  (v1_xreal_0(J) =>  ~ ( (r1_xxreal_0(1, F) &  (r1_xxreal_0(F, A) &  ( ~ (r1_xxreal_0(G, k12_euclid(k8_euclid(A, C, B))))  &  ( ~ (r1_xxreal_0(G, k12_euclid(k8_euclid(A, D, B))))  &  (H=k3_funct_2(k1_euclid(A), k1_numbers, k1_pdiff_1(F, A), C) &  (D=k1_funct_1(k6_pdiff_1(A, F, C), I) &  (r2_hidden(J, k1_rcomp_1(H, I)) &  (E=k1_funct_1(k6_pdiff_1(A, F, C), J) & r1_xxreal_0(G, k12_euclid(k8_euclid(A, E, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_euclid(A))) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(A)) =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  (! [J] :  (v1_xreal_0(J) =>  ~ ( (r1_xxreal_0(1, G) &  (r1_xxreal_0(G, A) &  (v1_pdiff_7(C, A) &  (r2_tarski(D, C) &  ( ~ (r1_xxreal_0(H, k12_euclid(k8_euclid(A, E, D))))  &  ( ~ (r1_xxreal_0(H, k12_euclid(k8_euclid(A, F, D))))  &  (r1_tarski(C, k1_relset_1(k1_euclid(A), B)) &  ( (! [K] :  (m2_finseq_2(K, k1_numbers, k1_euclid(A)) =>  (r2_tarski(K, C) => r3_pdiff_1(A, G, B, K)) ) )  &  ( ~ (r1_xxreal_0(H, k5_numbers))  &  ( (! [K] :  (m2_finseq_2(K, k1_numbers, k1_euclid(A)) =>  ( ~ (r1_xxreal_0(H, k12_euclid(k8_euclid(A, K, D))))  => r2_tarski(K, C)) ) )  &  (F=k1_funct_1(k6_pdiff_1(A, G, E), I) &  (J=k3_funct_2(k1_euclid(A), k1_numbers, k1_pdiff_1(G, A), E) &  (! [K] :  (m2_finseq_2(K, k1_numbers, k1_euclid(A)) =>  ~ ( ( ~ (r1_xxreal_0(H, k12_euclid(k8_euclid(A, K, D))))  &  (r3_pdiff_1(A, G, B, K) & k5_real_1(k7_partfun1(k1_numbers, B, F), k7_partfun1(k1_numbers, B, E))=k3_xcmplx_0(k6_xcmplx_0(I, J), k10_pdiff_1(A, G, B, K))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m2_finseq_1(B, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (v7_ordinal1(E) =>  ( (k3_finseq_1(B)=k2_xcmplx_0(A, 1) &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, A) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k4_finseq_1(B)) => k7_partfun1(k1_euclid(A), B, F)=k8_finseq_1(k1_numbers, k17_finseq_1(k1_numbers, k7_nat_d(k2_xcmplx_0(A, 1), F), C), k5_euclid(k7_nat_d(F, 1)))) ) ) ) ) )  => k7_euclid(A, D, k7_partfun1(k1_euclid(A), B, E))=k3_funct_2(k1_numbers, k1_euclid(A), k6_pdiff_1(A, k7_nat_d(k2_xcmplx_0(A, 1), E), k7_euclid(A, D, k7_partfun1(k1_euclid(A), B, k2_xcmplx_0(E, 1)))), k3_funct_2(k1_euclid(A), k1_numbers, k1_pdiff_1(k7_nat_d(k2_xcmplx_0(A, 1), E), A), k7_euclid(A, D, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(1)))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_euclid(A))) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  ( (v1_pdiff_7(C, A) &  (r2_tarski(D, C) &  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, A))  =>  (r2_pdiff_7(A, 1, E, B, C) & r4_pdiff_7(A, 1, k2_pdiff_7(A, 1, E, B, C), C)) ) ) ) ) )  =>  (r1_pdiff_1(A, 1, B, D) &  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (? [F] :  (m2_finseq_1(F, k1_euclid(1)) &  (k4_finseq_1(F)=k2_finseq_1(A) &  ( (! [G] :  (v7_ordinal1(G) =>  (r2_tarski(G, k2_finseq_1(A)) => k1_funct_1(F, G)=k9_euclid(1, k11_pdiff_1(A, 1, G, B, D), k3_funct_2(k1_euclid(A), k1_numbers, k1_pdiff_1(G, A), E))) ) )  & k3_funct_2(k1_euclid(A), k1_euclid(1), k8_pdiff_1(A, 1, B, D), E)=k5_euclid_7(1, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(1))))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k4_real_ns1(A)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k4_real_ns1(A))) =>  ( (v3_nfcont_1(C, k4_real_ns1(A)) &  (r2_tarski(D, C) &  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, A))  =>  (r7_pdiff_1(A, 1, E, B, C) & r3_nfcont_1(k4_real_ns1(A), k16_lopban_1(k4_real_ns1(1), k4_real_ns1(1)), k14_pdiff_1(A, 1, E, B, C), C)) ) ) ) ) )  =>  (r1_ndiff_1(k4_real_ns1(A), k4_real_ns1(1), B, D) &  (! [E] :  (m1_subset_1(E, u1_struct_0(k4_real_ns1(A))) =>  (? [F] :  (m2_finseq_1(F, k1_euclid(1)) &  (k4_finseq_1(F)=k2_finseq_1(A) &  ( (! [G] :  (v7_ordinal1(G) =>  (r2_tarski(G, k2_finseq_1(A)) => k1_funct_1(F, G)=k1_funct_1(k9_pdiff_1(A, 1, G, B, D), k9_finseq_1(k1_funct_1(k1_pdiff_1(G, A), E)))) ) )  & k17_lopban_1(k4_real_ns1(A), k4_real_ns1(1), k3_ndiff_1(k4_real_ns1(A), k4_real_ns1(1), B, D), E)=k5_euclid_7(1, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(1))))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k4_real_ns1(A)))) =>  (v3_nfcont_1(C, k4_real_ns1(A)) =>  ( (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, A))  =>  (r7_pdiff_1(A, 1, D, B, C) & r3_nfcont_1(k4_real_ns1(A), k16_lopban_1(k4_real_ns1(1), k4_real_ns1(1)), k14_pdiff_1(A, 1, D, B, C), C)) ) ) )  <=>  (r2_ndiff_1(C, k4_real_ns1(A), k4_real_ns1(1), B) & r3_nfcont_1(k4_real_ns1(A), k16_lopban_1(k4_real_ns1(A), k4_real_ns1(1)), k4_ndiff_1(k4_real_ns1(A), k4_real_ns1(1), B, C), C)) ) ) ) ) ) ) ) ) ).
fof(dt_k1_pdiff_7, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  & m1_subset_1(C, k1_euclid(A))) )  =>  (v1_funct_1(k1_pdiff_7(A, B, C)) &  (v1_funct_2(k1_pdiff_7(A, B, C), k1_euclid(A), k1_numbers) & m1_subset_1(k1_pdiff_7(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers)))) ) ) ) ).
fof(dt_k2_pdiff_7, axiom,  (! [A, B, C, D, E] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  &  (v7_ordinal1(C) &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B))))) ) ) )  =>  (v1_funct_1(k2_pdiff_7(A, B, C, D, E)) & m1_subset_1(k2_pdiff_7(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B))))) ) ) ).
fof(t31_pdiff_7, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) =>  (v1_pdiff_7(B, A) <=>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  ~ ( (r2_tarski(C, B) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  & r1_tarski(a_3_0_pdiff_7(A, C, D), B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_pdiff_7, axiom,  (! [A, B, C, D] :  ( ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  &  (m2_finseq_2(C, k1_numbers, k1_euclid(B)) & v1_xreal_0(D)) )  =>  (r2_hidden(A, a_3_0_pdiff_7(B, C, D)) <=>  (? [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(B)) &  (A=E &  ~ (r1_xxreal_0(D, k12_euclid(k8_euclid(B, E, C)))) ) ) ) ) ) ) ).
fof(t1_pdiff_8, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  ( (r2_tarski(B, k2_finseq_1(A)) & C=D)  => r1_xxreal_0(k9_complex1(k7_partfun1(k1_numbers, D, B)), k12_euclid(C))) ) ) ) ) ) ) ) ) ).
fof(t2_pdiff_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_real_ns1(1))) =>  (B=k9_finseq_1(A) => k2_normsp_0(k4_real_ns1(1), B)=k9_complex1(A)) ) ) ) ) ).
fof(t3_pdiff_8, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_real_ns1(A))) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, A))  => r1_xxreal_0(k2_normsp_0(k4_real_ns1(1), k3_funct_2(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(1)), k4_pdiff_1(C, A), B)), k2_normsp_0(k4_real_ns1(A), B))) ) ) ) ) ) ) ).
fof(t4_pdiff_8, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_real_ns1(A))) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => k2_normsp_0(k4_real_ns1(1), k3_funct_2(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(1)), k4_pdiff_1(C, A), B))=k9_complex1(k1_funct_1(k1_pdiff_1(C, A), B))) ) ) ) ) ) ).
fof(t5_pdiff_8, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, A))  => r1_xxreal_0(k9_complex1(k3_funct_2(k1_euclid(A), k1_numbers, k1_pdiff_1(C, A), B)), k12_euclid(B))) ) ) ) ) ) ) ).
fof(t6_pdiff_8, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k16_lopban_1(k4_real_ns1(A), k4_real_ns1(B)))) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, B))  =>  ( (v1_funct_1(k4_pdiff_1(D, B)) &  (v1_funct_2(k4_pdiff_1(D, B), u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(1))) &  (v13_vectsp_1(k4_pdiff_1(D, B), k4_real_ns1(B), k4_real_ns1(1)) &  (v1_lopban_1(k4_pdiff_1(D, B), k4_real_ns1(B), k4_real_ns1(1)) &  (v2_lopban_1(k4_pdiff_1(D, B), k4_real_ns1(B), k4_real_ns1(1)) & m1_subset_1(k4_pdiff_1(D, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(1)))))) ) ) ) )  & r1_xxreal_0(k1_funct_1(k15_lopban_1(k4_real_ns1(B), k4_real_ns1(1)), k4_pdiff_1(D, B)), 1)) ) ) ) ) ) ) ) ) ) ).
fof(t7_pdiff_8, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k16_lopban_1(k4_real_ns1(A), k4_real_ns1(B)))) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, B))  =>  (m1_subset_1(k3_relat_1(C, k4_pdiff_1(D, B)), u1_struct_0(k16_lopban_1(k4_real_ns1(A), k4_real_ns1(1)))) & r1_xxreal_0(k1_funct_1(k15_lopban_1(k4_real_ns1(A), k4_real_ns1(1)), k3_relat_1(C, k4_pdiff_1(D, B))), k3_xcmplx_0(k1_funct_1(k15_lopban_1(k4_real_ns1(B), k4_real_ns1(1)), k4_pdiff_1(D, B)), k1_funct_1(k15_lopban_1(k4_real_ns1(A), k4_real_ns1(B)), C)))) ) ) ) ) ) ) ) ) ) ).
fof(t8_pdiff_8, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => v1_lopban_1(k4_pdiff_1(B, A), k4_real_ns1(A), k4_real_ns1(1))) ) ) ) ).
fof(t9_pdiff_8, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => k3_funct_2(k1_euclid(A), k1_numbers, k1_pdiff_1(D, A), k9_euclid(A, B, C))=k3_xcmplx_0(C, k3_funct_2(k1_euclid(A), k1_numbers, k1_pdiff_1(D, A), B))) ) ) ) ) ) ) ) ).
fof(t10_pdiff_8, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => k3_funct_2(k1_euclid(A), k1_numbers, k1_pdiff_1(D, A), k7_euclid(A, B, C))=k3_real_1(k3_funct_2(k1_euclid(A), k1_numbers, k1_pdiff_1(D, A), B), k3_funct_2(k1_euclid(A), k1_numbers, k1_pdiff_1(D, A), C))) ) ) ) ) ) ) ) ).
fof(t11_pdiff_8, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_real_ns1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(A))) =>  (! [D] :  (v7_ordinal1(D) => k3_funct_2(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(1)), k4_pdiff_1(D, A), k5_algstr_0(k4_real_ns1(A), B, C))=k5_algstr_0(k4_real_ns1(1), k3_funct_2(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(1)), k4_pdiff_1(D, A), B), k3_funct_2(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(1)), k4_pdiff_1(D, A), C))) ) ) ) ) ) ) ) ).
fof(t12_pdiff_8, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => k3_funct_2(k1_euclid(A), k1_numbers, k1_pdiff_1(D, A), k8_euclid(A, B, C))=k5_real_1(k3_funct_2(k1_euclid(A), k1_numbers, k1_pdiff_1(D, A), B), k3_funct_2(k1_euclid(A), k1_numbers, k1_pdiff_1(D, A), C))) ) ) ) ) ) ) ) ).
fof(t13_pdiff_8, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k16_lopban_1(k4_real_ns1(A), k4_real_ns1(B)))) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k16_lopban_1(k4_real_ns1(A), k4_real_ns1(1)))) =>  ( (E=k3_relat_1(C, k4_pdiff_1(D, B)) &  (r1_xxreal_0(1, D) & r1_xxreal_0(D, B)) )  => r1_xxreal_0(k2_normsp_0(k16_lopban_1(k4_real_ns1(A), k4_real_ns1(1)), E), k2_normsp_0(k16_lopban_1(k4_real_ns1(A), k4_real_ns1(B)), C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_pdiff_8, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k16_lopban_1(k4_real_ns1(A), k4_real_ns1(B)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k16_lopban_1(k4_real_ns1(A), k4_real_ns1(B)))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k16_lopban_1(k4_real_ns1(A), k4_real_ns1(1)))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k16_lopban_1(k4_real_ns1(A), k4_real_ns1(1)))) =>  (! [G] :  (v7_ordinal1(G) =>  ( (E=k3_relat_1(C, k4_pdiff_1(G, B)) &  (F=k3_relat_1(D, k4_pdiff_1(G, B)) &  (r1_xxreal_0(1, G) & r1_xxreal_0(G, B)) ) )  => r1_xxreal_0(k2_normsp_0(k16_lopban_1(k4_real_ns1(A), k4_real_ns1(1)), k5_algstr_0(k16_lopban_1(k4_real_ns1(A), k4_real_ns1(1)), E, F)), k2_normsp_0(k16_lopban_1(k4_real_ns1(A), k4_real_ns1(B)), k5_algstr_0(k16_lopban_1(k4_real_ns1(A), k4_real_ns1(B)), C, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_pdiff_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(B)) =>  ( (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, B))  => r1_xxreal_0(k9_complex1(k1_funct_1(C, D)), A)) ) )  => r1_xxreal_0(k12_euclid(C), k3_xcmplx_0(B, A))) ) ) ) ) ) ) ).
fof(t16_pdiff_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(B))) =>  ( (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, B))  => r1_xxreal_0(k2_normsp_0(k4_real_ns1(1), k3_funct_2(u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(1)), k4_pdiff_1(D, B), C)), A)) ) )  => r1_xxreal_0(k2_normsp_0(k4_real_ns1(B), C), k3_xcmplx_0(B, A))) ) ) ) ) ) ) ).
fof(t17_pdiff_8, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(B)) =>  ( (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, B))  => r1_xxreal_0(k9_complex1(k3_funct_2(k1_euclid(B), k1_numbers, k1_pdiff_1(D, B), C)), A)) ) )  => r1_xxreal_0(k12_euclid(C), k3_xcmplx_0(B, A))) ) ) ) ) ) ) ).
fof(t18_pdiff_8, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k16_lopban_1(k4_real_ns1(A), k4_real_ns1(B)))) =>  (! [D] :  (v1_xreal_0(D) =>  ( (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k16_lopban_1(k4_real_ns1(A), k4_real_ns1(1)))) =>  ( (F=k3_relat_1(C, k4_pdiff_1(E, B)) &  (r1_xxreal_0(1, E) & r1_xxreal_0(E, B)) )  => r1_xxreal_0(k2_normsp_0(k16_lopban_1(k4_real_ns1(A), k4_real_ns1(1)), F), D)) ) ) ) )  => r1_xxreal_0(k2_normsp_0(k16_lopban_1(k4_real_ns1(A), k4_real_ns1(B)), C), k3_xcmplx_0(B, D))) ) ) ) ) ) ) ) ) ).
fof(t19_pdiff_8, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k16_lopban_1(k4_real_ns1(A), k4_real_ns1(B)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k16_lopban_1(k4_real_ns1(A), k4_real_ns1(B)))) =>  (! [E] :  (v1_xreal_0(E) =>  ( (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k16_lopban_1(k4_real_ns1(A), k4_real_ns1(1)))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(k16_lopban_1(k4_real_ns1(A), k4_real_ns1(1)))) =>  ( (G=k3_relat_1(C, k4_pdiff_1(F, B)) &  (H=k3_relat_1(D, k4_pdiff_1(F, B)) &  (r1_xxreal_0(1, F) & r1_xxreal_0(F, B)) ) )  => r1_xxreal_0(k2_normsp_0(k16_lopban_1(k4_real_ns1(A), k4_real_ns1(1)), k5_algstr_0(k16_lopban_1(k4_real_ns1(A), k4_real_ns1(1)), G, H)), E)) ) ) ) ) ) )  => r1_xxreal_0(k2_normsp_0(k16_lopban_1(k4_real_ns1(A), k4_real_ns1(B)), k5_algstr_0(k16_lopban_1(k4_real_ns1(A), k4_real_ns1(B)), C, D)), k3_xcmplx_0(B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_pdiff_8, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k4_real_ns1(A)))) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, A) & v3_nfcont_1(D, k4_real_ns1(A))) )  =>  ( (r7_pdiff_1(A, B, E, C, D) & r3_nfcont_1(k4_real_ns1(A), k16_lopban_1(k4_real_ns1(1), k4_real_ns1(B)), k14_pdiff_1(A, B, E, C, D), D))  <=>  (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(1, F) & r1_xxreal_0(F, B))  =>  (r7_pdiff_1(A, 1, E, k1_partfun1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(1)), C, k4_pdiff_1(F, B)), D) & r3_nfcont_1(k4_real_ns1(A), k16_lopban_1(k4_real_ns1(1), k4_real_ns1(1)), k14_pdiff_1(A, 1, E, k1_partfun1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(1)), C, k4_pdiff_1(F, B)), D), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_pdiff_8, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k4_real_ns1(A)))) =>  (v3_nfcont_1(D, k4_real_ns1(A)) =>  ( (r2_ndiff_1(D, k4_real_ns1(A), k4_real_ns1(B), C) & r3_nfcont_1(k4_real_ns1(A), k16_lopban_1(k4_real_ns1(A), k4_real_ns1(B)), k4_ndiff_1(k4_real_ns1(A), k4_real_ns1(B), C, D), D))  <=>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, B))  =>  (r2_ndiff_1(D, k4_real_ns1(A), k4_real_ns1(1), k1_partfun1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(1)), C, k4_pdiff_1(E, B))) & r3_nfcont_1(k4_real_ns1(A), k16_lopban_1(k4_real_ns1(A), k4_real_ns1(1)), k4_ndiff_1(k4_real_ns1(A), k4_real_ns1(1), k1_partfun1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(B)), u1_struct_0(k4_real_ns1(1)), C, k4_pdiff_1(E, B)), D), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_pdiff_8, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k4_real_ns1(A)))) =>  (v3_nfcont_1(D, k4_real_ns1(A)) =>  ( (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, A))  =>  (r7_pdiff_1(A, B, E, C, D) & r3_nfcont_1(k4_real_ns1(A), k16_lopban_1(k4_real_ns1(1), k4_real_ns1(B)), k14_pdiff_1(A, B, E, C, D), D)) ) ) )  <=>  (r2_ndiff_1(D, k4_real_ns1(A), k4_real_ns1(B), C) & r3_nfcont_1(k4_real_ns1(A), k16_lopban_1(k4_real_ns1(A), k4_real_ns1(B)), k4_ndiff_1(k4_real_ns1(A), k4_real_ns1(B), C, D), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_pdiff_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k16_lopban_1(A, B))) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(k5_numbers, D) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_xxreal_0(k2_normsp_0(A, E), 1) => r1_xxreal_0(k2_normsp_0(B, k17_lopban_1(A, B, C, E)), k3_xcmplx_0(D, k2_normsp_0(A, E)))) ) ) )  => r1_xxreal_0(k2_normsp_0(k16_lopban_1(A, B), C), D)) ) ) ) ) ) ) ) ) ).
fof(t2_pdiff_9, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_numbers))))  =>  (r4_nfcont_1(B, C, A) <=>  (r1_tarski(A, k1_relset_1(u1_struct_0(B), C)) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  =>  ( (r1_tarski(k2_relset_1(u1_struct_0(B), D), A) &  (v3_normsp_1(D, B) & r2_tarski(k5_normsp_1(B, D), A)) )  =>  (v2_comseq_2(k8_funct_2(k4_ordinal1, k1_numbers, u1_struct_0(B), D, C)) & k7_partfun1(k1_numbers, C, k5_normsp_1(B, D))=k1_seq_2(k8_funct_2(k4_ordinal1, k1_numbers, u1_struct_0(B), D, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_pdiff_9, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  => k1_relset_1(k1_euclid(A), k3_pdiff_1(A, B))=k1_relset_1(k1_euclid(A), B)) ) ) ) ).
fof(t4_pdiff_9, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (r1_tarski(B, k1_relset_1(k1_euclid(A), C)) => k1_relset_1(k1_euclid(A), k2_partfun1(k1_euclid(A), k1_euclid(1), k3_pdiff_1(A, C), B))=B) ) ) ) ) ) ).
fof(t5_pdiff_9, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  => r2_relset_1(k1_euclid(A), k1_euclid(1), k3_pdiff_1(A, k2_partfun1(k1_euclid(A), k1_numbers, C, B)), k2_partfun1(k1_euclid(A), k1_euclid(1), k3_pdiff_1(A, C), B))) ) ) ) ) ).
fof(t6_pdiff_9, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (r2_tarski(C, k1_relset_1(k1_euclid(A), B)) =>  (k1_funct_1(k3_pdiff_1(A, B), C)=k9_finseq_1(k1_funct_1(B, C)) & k7_partfun1(k1_euclid(1), k3_pdiff_1(A, B), C)=k12_finseq_1(k1_numbers, k7_partfun1(k1_numbers, B, C))) ) ) ) ) ) ) ) ).
fof(t7_pdiff_9, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (r2_relset_1(k1_euclid(A), k1_euclid(1), k3_pdiff_1(A, k3_valued_1(k1_euclid(A), k1_numbers, k1_numbers, B, C)), k7_integr15(1, k1_euclid(A), k3_pdiff_1(A, B), k3_pdiff_1(A, C))) & r2_relset_1(k1_euclid(A), k1_euclid(1), k3_pdiff_1(A, k47_valued_1(k1_euclid(A), k1_numbers, k1_numbers, B, C)), k8_integr15(1, k1_euclid(A), k3_pdiff_1(A, B), k3_pdiff_1(A, C)))) ) ) ) ) ) ) ).
fof(t8_pdiff_9, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) => r2_relset_1(k1_euclid(A), k1_euclid(1), k3_pdiff_1(A, k26_valued_1(k1_euclid(A), k1_numbers, B, C)), k9_integr15(1, C, k1_euclid(A), k3_pdiff_1(A, B)))) ) ) ) ) ) ).
fof(t9_pdiff_9, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(1)))))  =>  (r2_relset_1(k1_euclid(A), k1_euclid(1), k3_pdiff_1(A, B), C) => r2_relset_1(k1_euclid(A), k1_numbers, k55_valued_1(k1_euclid(A), k1_numbers, B), k1_nfcont_4(1, k1_euclid(A), C))) ) ) ) ) ) ) ).
fof(t10_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k4_real_ns1(A)))) =>  (B=C =>  (v1_pdiff_7(B, A) <=> v3_nfcont_1(C, k4_real_ns1(A))) ) ) ) ) ) ) ) ).
fof(t11_pdiff_9, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, A))  => k12_euclid(k1_funct_1(k6_pdiff_1(A, C, k5_euclid(A)), B))=k9_complex1(B)) ) ) ) ) ) ) ).
fof(t12_pdiff_9, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(B)) => C=k3_funct_2(k1_numbers, k1_euclid(B), k6_pdiff_1(B, A, C), k3_funct_2(k1_euclid(B), k1_numbers, k1_pdiff_1(A, B), C))) ) ) ) ) ) ).
fof(t13_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_euclid(A))) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (r1_pdiff_6(C, B, A, D) => v1_pdiff_7(C, A)) ) ) ) ) ) ) ) ) ).
fof(t14_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_euclid(A))) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (v1_pdiff_7(C, A) =>  (r1_pdiff_6(C, B, A, D) <=>  (r1_tarski(C, k1_relset_1(k1_euclid(A), D)) &  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (r2_tarski(E, C) => r1_pdiff_1(A, B, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (r1_tarski(C, k1_relset_1(k1_euclid(A), D)) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k9_funct_2(k1_euclid(A), k1_euclid(B))))))  =>  (E=k1_pdiff_9(A, B, C, D) <=>  (k1_relset_1(k1_euclid(A), E)=C &  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(A)) =>  (r2_tarski(F, C) => k7_partfun1(k9_funct_2(k1_euclid(A), k1_euclid(B)), E, F)=k8_pdiff_1(A, B, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_euclid(A))) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  ( (r1_pdiff_6(C, B, A, D) & r1_pdiff_6(C, B, A, E))  =>  (r1_pdiff_6(C, B, A, k7_integr15(B, k1_euclid(A), D, E)) &  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(A)) =>  (r2_tarski(F, C) => k7_partfun1(k9_funct_2(k1_euclid(A), k1_euclid(B)), k1_pdiff_9(A, B, C, k7_integr15(B, k1_euclid(A), D, E)), F)=k7_integr15(B, k1_euclid(A), k8_pdiff_1(A, B, D, F), k8_pdiff_1(A, B, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_euclid(A))) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  ( (r1_pdiff_6(C, B, A, D) & r1_pdiff_6(C, B, A, E))  =>  (r1_pdiff_6(C, B, A, k8_integr15(B, k1_euclid(A), D, E)) &  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(A)) =>  (r2_tarski(F, C) => k7_partfun1(k9_funct_2(k1_euclid(A), k1_euclid(B)), k1_pdiff_9(A, B, C, k8_integr15(B, k1_euclid(A), D, E)), F)=k8_integr15(B, k1_euclid(A), k8_pdiff_1(A, B, D, F), k8_pdiff_1(A, B, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_euclid(A))) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [E] :  (v1_xreal_0(E) =>  (r1_pdiff_6(C, B, A, D) =>  (r1_pdiff_6(C, B, A, k9_integr15(B, E, k1_euclid(A), D)) &  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(A)) =>  (r2_tarski(F, C) => k7_partfun1(k9_funct_2(k1_euclid(A), k1_euclid(B)), k1_pdiff_9(A, B, C, k9_integr15(B, E, k1_euclid(A), D)), F)=k9_integr15(B, E, k1_euclid(A), k8_pdiff_1(A, B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_pdiff_9, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k16_lopban_1(k4_real_ns1(1), k4_real_ns1(A)))) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(A))) &  (C=k1_funct_1(B, k12_finseq_1(k4_ordinal1, 1)) &  ( (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k4_real_ns1(1))) =>  (E=k9_finseq_1(D) => k17_lopban_1(k4_real_ns1(1), k4_real_ns1(A), B, E)=k1_rlvect_1(k4_real_ns1(A), C, D)) ) ) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(k4_real_ns1(1))) => k2_normsp_0(k4_real_ns1(A), k17_lopban_1(k4_real_ns1(1), k4_real_ns1(A), B, D))=k3_xcmplx_0(k2_normsp_0(k4_real_ns1(A), C), k2_normsp_0(k4_real_ns1(1), D))) ) ) ) ) ) ) ) ) ) ).
fof(t19_pdiff_9, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k16_lopban_1(k4_real_ns1(1), k4_real_ns1(A)))) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(A))) &  (C=k1_funct_1(B, k12_finseq_1(k4_ordinal1, 1)) & k2_normsp_0(k4_real_ns1(A), C)=k2_normsp_0(k16_lopban_1(k4_real_ns1(1), k4_real_ns1(A)), B)) ) ) ) ) ) ) ).
fof(t20_pdiff_9, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k16_lopban_1(k4_real_ns1(1), k4_real_ns1(A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(1))) => k2_normsp_0(k4_real_ns1(A), k17_lopban_1(k4_real_ns1(1), k4_real_ns1(A), B, C))=k3_xcmplx_0(k2_normsp_0(k16_lopban_1(k4_real_ns1(1), k4_real_ns1(A)), B), k2_normsp_0(k4_real_ns1(1), C))) ) ) ) ) ) ).
fof(t21_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_euclid(A))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k4_real_ns1(A)))) =>  (! [G] :  (v7_ordinal1(G) =>  ( (r1_xxreal_0(1, G) &  (r1_xxreal_0(G, A) &  (v1_pdiff_7(E, A) &  (D=C &  (E=F & r2_pdiff_7(A, B, G, C, E)) ) ) ) )  =>  (! [H] :  (m2_finseq_2(H, k1_numbers, k1_euclid(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k4_real_ns1(A))) =>  ( (r2_tarski(H, E) & H=I)  => k11_pdiff_1(A, B, G, C, H)=k1_funct_1(k9_pdiff_1(A, B, G, D, I), k12_finseq_1(k4_ordinal1, 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_euclid(A))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k4_real_ns1(A)))) =>  (! [G] :  (v7_ordinal1(G) =>  ( (r1_xxreal_0(1, G) &  (r1_xxreal_0(G, A) &  (v1_pdiff_7(E, A) &  (D=C &  (E=F & r2_pdiff_7(A, B, G, C, E)) ) ) ) )  =>  (! [H] :  (m2_finseq_2(H, k1_numbers, k1_euclid(A)) =>  (! [I] :  (m2_finseq_2(I, k1_numbers, k1_euclid(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(k4_real_ns1(A))) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(k4_real_ns1(A))) =>  ( (H=J &  (I=K &  (r2_tarski(H, E) & r2_tarski(I, E)) ) )  => k12_euclid(k8_euclid(B, k7_partfun1(k1_euclid(B), k2_pdiff_7(A, B, G, C, E), I), k7_partfun1(k1_euclid(B), k2_pdiff_7(A, B, G, C, E), H)))=k2_normsp_0(k16_lopban_1(k4_real_ns1(1), k4_real_ns1(B)), k5_algstr_0(k16_lopban_1(k4_real_ns1(1), k4_real_ns1(B)), k7_partfun1(u1_struct_0(k16_lopban_1(k4_real_ns1(1), k4_real_ns1(B))), k14_pdiff_1(A, B, G, D, F), K), k7_partfun1(u1_struct_0(k16_lopban_1(k4_real_ns1(1), k4_real_ns1(B))), k14_pdiff_1(A, B, G, D, F), J)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_euclid(A))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k4_real_ns1(A)))) =>  (! [G] :  (v7_ordinal1(G) =>  ( (r1_xxreal_0(1, G) &  (r1_xxreal_0(G, A) &  (v1_pdiff_7(E, A) &  (D=C & E=F) ) ) )  =>  ( ( (r2_pdiff_7(A, B, G, C, E) & r4_pdiff_7(A, B, k2_pdiff_7(A, B, G, C, E), E))  =>  (r7_pdiff_1(A, B, G, D, F) & r3_nfcont_1(k4_real_ns1(A), k16_lopban_1(k4_real_ns1(1), k4_real_ns1(B)), k14_pdiff_1(A, B, G, D, F), F)) )  &  ( (r7_pdiff_1(A, B, G, D, F) & r3_nfcont_1(k4_real_ns1(A), k16_lopban_1(k4_real_ns1(1), k4_real_ns1(B)), k14_pdiff_1(A, B, G, D, F), F))  =>  (r2_pdiff_7(A, B, G, C, E) & r4_pdiff_7(A, B, k2_pdiff_7(A, B, G, C, E), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_euclid(A))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k4_real_ns1(A)))) =>  ( (E=F &  (v1_pdiff_7(E, A) & C=D) )  =>  ( (! [G] :  (v7_ordinal1(G) =>  ( (r1_xxreal_0(1, G) & r1_xxreal_0(G, A))  =>  (r2_pdiff_7(A, B, G, C, E) & r4_pdiff_7(A, B, k2_pdiff_7(A, B, G, C, E), E)) ) ) )  <=>  (r2_ndiff_1(F, k4_real_ns1(A), k4_real_ns1(B), D) & r3_nfcont_1(k4_real_ns1(A), k16_lopban_1(k4_real_ns1(A), k4_real_ns1(B)), k4_ndiff_1(k4_real_ns1(A), k4_real_ns1(B), D, F), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_euclid(A))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k4_real_ns1(A)))) =>  ( (v1_pdiff_7(E, A) &  (r1_tarski(E, k1_relset_1(k1_euclid(A), C)) &  (D=C & E=F) ) )  =>  ( ( (r2_ndiff_1(F, k4_real_ns1(A), k4_real_ns1(B), D) & r3_nfcont_1(k4_real_ns1(A), k16_lopban_1(k4_real_ns1(A), k4_real_ns1(B)), k4_ndiff_1(k4_real_ns1(A), k4_real_ns1(B), D, F), F))  =>  (r1_pdiff_6(E, B, A, C) &  (! [G] :  (m2_finseq_2(G, k1_numbers, k1_euclid(A)) =>  (! [H] :  (v1_xreal_0(H) =>  ~ ( (r2_tarski(G, E) &  ( ~ (r1_xxreal_0(H, k5_numbers))  &  (! [I] :  (v1_xreal_0(I) =>  ~ ( ( ~ (r1_xxreal_0(I, k5_numbers))  &  (! [J] :  (m2_finseq_2(J, k1_numbers, k1_euclid(A)) =>  (r2_tarski(J, E) =>  (r1_xxreal_0(I, k12_euclid(k8_euclid(A, J, G))) |  (! [K] :  (m2_finseq_2(K, k1_numbers, k1_euclid(A)) => r1_xxreal_0(k12_euclid(k8_euclid(B, k3_funct_2(k1_euclid(A), k1_euclid(B), k8_pdiff_1(A, B, C, J), K), k3_funct_2(k1_euclid(A), k1_euclid(B), k8_pdiff_1(A, B, C, G), K))), k3_xcmplx_0(H, k12_euclid(K)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (r1_pdiff_6(E, B, A, C) &  (! [G] :  (m2_finseq_2(G, k1_numbers, k1_euclid(A)) =>  (! [H] :  (v1_xreal_0(H) =>  ~ ( (r2_tarski(G, E) &  ( ~ (r1_xxreal_0(H, k5_numbers))  &  (! [I] :  (v1_xreal_0(I) =>  ~ ( ( ~ (r1_xxreal_0(I, k5_numbers))  &  (! [J] :  (m2_finseq_2(J, k1_numbers, k1_euclid(A)) =>  (r2_tarski(J, E) =>  (r1_xxreal_0(I, k12_euclid(k8_euclid(A, J, G))) |  (! [K] :  (m2_finseq_2(K, k1_numbers, k1_euclid(A)) => r1_xxreal_0(k12_euclid(k8_euclid(B, k3_funct_2(k1_euclid(A), k1_euclid(B), k8_pdiff_1(A, B, C, J), K), k3_funct_2(k1_euclid(A), k1_euclid(B), k8_pdiff_1(A, B, C, G), K))), k3_xcmplx_0(H, k12_euclid(K)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (r2_ndiff_1(F, k4_real_ns1(A), k4_real_ns1(B), D) & r3_nfcont_1(k4_real_ns1(A), k16_lopban_1(k4_real_ns1(A), k4_real_ns1(B)), k4_ndiff_1(k4_real_ns1(A), k4_real_ns1(B), D, F), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_euclid(A))) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  ( (v1_pdiff_7(C, A) & r1_tarski(C, k1_relset_1(k1_euclid(A), D)))  =>  ( (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, A))  =>  (r2_pdiff_7(A, B, E, D, C) & r4_pdiff_7(A, B, k2_pdiff_7(A, B, E, D, C), C)) ) ) )  <=>  (r1_pdiff_6(C, B, A, D) &  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( (r2_tarski(E, C) &  ( ~ (r1_xxreal_0(F, k5_numbers))  &  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (r1_xxreal_0(G, k5_numbers))  &  (! [H] :  (m2_finseq_2(H, k1_numbers, k1_euclid(A)) =>  (r2_tarski(H, C) =>  (r1_xxreal_0(G, k12_euclid(k8_euclid(A, H, E))) |  (! [I] :  (m2_finseq_2(I, k1_numbers, k1_euclid(A)) => r1_xxreal_0(k12_euclid(k8_euclid(B, k3_funct_2(k1_euclid(A), k1_euclid(B), k8_pdiff_1(A, B, D, H), I), k3_funct_2(k1_euclid(A), k1_euclid(B), k8_pdiff_1(A, B, D, E), I))), k3_xcmplx_0(F, k12_euclid(I)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  =>  ( (D=E & r1_pdiff_6(C, B, A, D))  => k1_pdiff_9(A, B, C, D)=k4_ndiff_1(k4_real_ns1(A), k4_real_ns1(B), E, C)) ) ) ) ) ) ) ) ) ) ).
fof(t28_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), u1_struct_0(k4_real_ns1(B))))))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_euclid(A))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k4_real_ns1(A)))) =>  ( (E=F &  (v1_pdiff_7(E, A) & C=D) )  =>  ( (! [G] :  (v7_ordinal1(G) =>  ( (r1_xxreal_0(1, G) & r1_xxreal_0(G, A))  =>  (r2_pdiff_7(A, B, G, C, E) & r4_pdiff_7(A, B, k2_pdiff_7(A, B, G, C, E), E)) ) ) )  <=>  (r1_pdiff_6(E, B, A, C) & r3_nfcont_1(k4_real_ns1(A), k16_lopban_1(k4_real_ns1(A), k4_real_ns1(B)), k4_ndiff_1(k4_real_ns1(A), k4_real_ns1(B), D, F), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  ( (r3_pdiff_7(A, B, C, E) & r3_pdiff_7(A, B, D, E))  =>  (r3_pdiff_7(A, B, k7_integr15(B, k1_euclid(A), C, D), E) & r3_pdiff_7(A, B, k8_integr15(B, k1_euclid(A), C, D), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (v1_xreal_0(E) =>  (r3_pdiff_7(A, B, C, D) => r3_pdiff_7(A, B, k9_integr15(B, E, k1_euclid(A), C), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (r3_pdiff_7(A, B, C, D) => r3_pdiff_7(A, B, k2_nfcont_4(B, k1_euclid(A), C), D)) ) ) ) ) ) ) ) ) ).
fof(t32_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (r3_pdiff_7(A, B, C, D) => r2_nfcont_4(A, k1_nfcont_4(B, k1_euclid(A), C), D)) ) ) ) ) ) ) ) ) ).
fof(t33_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  ( (r4_pdiff_7(A, B, D, C) & r4_pdiff_7(A, B, E, C))  =>  (r4_pdiff_7(A, B, k7_integr15(B, k1_euclid(A), D, E), C) & r4_pdiff_7(A, B, k8_integr15(B, k1_euclid(A), D, E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (r4_pdiff_7(A, B, E, C) => r4_pdiff_7(A, B, k9_integr15(B, D, k1_euclid(A), E), C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (r4_pdiff_7(A, B, D, C) => r4_pdiff_7(A, B, k2_nfcont_4(B, k1_euclid(A), D), C)) ) ) ) ) ) ) ) ) ) ).
fof(t36_pdiff_9, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (r2_nfcont_4(A, B, C) <=>  (r2_tarski(C, k1_relset_1(k1_euclid(A), B)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(A)) =>  ~ ( (r2_tarski(F, k1_relset_1(k1_euclid(A), B)) &  ( ~ (r1_xxreal_0(E, k12_euclid(k8_euclid(A, F, C))))  & r1_xxreal_0(D, k9_complex1(k5_real_1(k7_partfun1(k1_numbers, B, F), k7_partfun1(k1_numbers, B, C))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (r2_nfcont_4(A, B, C) <=> r3_pdiff_7(A, 1, k3_pdiff_1(A, B), C)) ) ) ) ) ) ) ).
fof(t38_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  ( (r2_nfcont_4(A, B, D) & r2_nfcont_4(A, C, D))  =>  (r2_nfcont_4(A, k3_valued_1(k1_euclid(A), k1_numbers, k1_numbers, B, C), D) & r2_nfcont_4(A, k47_valued_1(k1_euclid(A), k1_numbers, k1_numbers, B, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(t39_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (r2_nfcont_4(A, B, C) => r2_nfcont_4(A, k26_valued_1(k1_euclid(A), k1_numbers, B, D), C)) ) ) ) ) ) ) ) ) ).
fof(t40_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (r2_nfcont_4(A, B, C) => r2_nfcont_4(A, k55_valued_1(k1_euclid(A), k1_numbers, B), C)) ) ) ) ) ) ) ).
fof(t41_pdiff_9, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  ( (r2_nfcont_4(A, B, D) & r2_nfcont_4(A, C, D))  => r2_nfcont_4(A, k20_valued_1(k1_euclid(A), k1_numbers, k1_numbers, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(d2_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (r1_pdiff_9(A, B, C) <=>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (r2_tarski(D, B) => r2_nfcont_4(A, k2_partfun1(k1_euclid(A), k1_numbers, C, B), D)) ) ) ) ) ) ) ) ) ).
fof(t42_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), k1_numbers))))  =>  (C=D =>  ( (r1_tarski(B, k1_relset_1(k1_euclid(A), C)) & r1_pdiff_9(A, B, C))  <=> r4_nfcont_1(k4_real_ns1(A), D, B)) ) ) ) ) ) ) ) ) ).
fof(t43_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), k1_numbers))))  =>  ( (C=D & r1_tarski(B, k1_relset_1(k1_euclid(A), C)))  =>  (r1_pdiff_9(A, B, C) <=>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(k4_real_ns1(A))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k4_real_ns1(A)))))) )  =>  ( (r1_tarski(k2_relset_1(u1_struct_0(k4_real_ns1(A)), E), B) &  (v3_normsp_1(E, k4_real_ns1(A)) & r2_tarski(k5_normsp_1(k4_real_ns1(A), E), B)) )  =>  (v2_comseq_2(k8_funct_2(k4_ordinal1, k1_numbers, u1_struct_0(k4_real_ns1(A)), E, D)) & k7_partfun1(k1_numbers, D, k5_normsp_1(k4_real_ns1(A), E))=k1_seq_2(k8_funct_2(k4_ordinal1, k1_numbers, u1_struct_0(k4_real_ns1(A)), E, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(1)))))  =>  (r2_relset_1(k1_euclid(A), k1_euclid(1), k3_pdiff_1(A, C), D) =>  ( (r1_tarski(B, k1_relset_1(k1_euclid(A), C)) & r1_pdiff_9(A, B, C))  <=> r4_pdiff_7(A, 1, D, B)) ) ) ) ) ) ) ) ) ).
fof(t45_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (r1_tarski(B, k1_relset_1(k1_euclid(A), C)) =>  (r1_pdiff_9(A, B, C) <=>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_tarski(D, B) &  ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(F, k5_numbers))  &  (! [G] :  (m2_finseq_2(G, k1_numbers, k1_euclid(A)) =>  ~ ( (r2_tarski(G, B) &  ( ~ (r1_xxreal_0(F, k12_euclid(k8_euclid(A, G, D))))  & r1_xxreal_0(E, k9_complex1(k5_real_1(k7_partfun1(k1_numbers, C, G), k7_partfun1(k1_numbers, C, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  ( (r1_pdiff_9(A, B, C) &  (r1_pdiff_9(A, B, D) &  (r1_tarski(B, k1_relset_1(k1_euclid(A), C)) & r1_tarski(B, k1_relset_1(k1_euclid(A), D))) ) )  =>  (r1_pdiff_9(A, B, k3_valued_1(k1_euclid(A), k1_numbers, k1_numbers, C, D)) & r1_pdiff_9(A, B, k47_valued_1(k1_euclid(A), k1_numbers, k1_numbers, C, D))) ) ) ) ) ) ) ) ) ).
fof(t47_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_tarski(B, k1_relset_1(k1_euclid(A), C)) & r1_pdiff_9(A, B, C))  => r1_pdiff_9(A, B, k26_valued_1(k1_euclid(A), k1_numbers, C, D))) ) ) ) ) ) ) ) ).
fof(t48_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  ( (r1_pdiff_9(A, B, C) &  (r1_pdiff_9(A, B, D) &  (r1_tarski(B, k1_relset_1(k1_euclid(A), C)) & r1_tarski(B, k1_relset_1(k1_euclid(A), D))) ) )  => r1_pdiff_9(A, B, k20_valued_1(k1_euclid(A), k1_numbers, k1_numbers, C, D))) ) ) ) ) ) ) ) ).
fof(t49_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)), k1_numbers))))  =>  (C=D =>  ( (r1_tarski(B, k1_relset_1(k1_euclid(A), C)) & r1_pdiff_9(A, B, C))  <=> r4_nfcont_1(k4_real_ns1(A), D, B)) ) ) ) ) ) ) ) ) ).
fof(t50_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B)))))  =>  (r4_pdiff_7(A, B, D, C) => r1_pdiff_9(A, C, k1_nfcont_4(B, k1_euclid(A), D))) ) ) ) ) ) ) ) ) ) ).
fof(t51_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  ( (r1_pdiff_7(A, B, D) & r1_pdiff_7(A, C, D))  =>  (r1_pdiff_7(A, k3_valued_1(k1_euclid(A), k1_numbers, k1_numbers, B, C), D) &  (r2_funct_2(k1_euclid(A), k1_numbers, k1_pdiff_7(A, k3_valued_1(k1_euclid(A), k1_numbers, k1_numbers, B, C), D), k3_valued_1(k1_euclid(A), k1_numbers, k1_numbers, k1_pdiff_7(A, B, D), k1_pdiff_7(A, C, D))) &  (r1_pdiff_7(A, k47_valued_1(k1_euclid(A), k1_numbers, k1_numbers, B, C), D) & r2_funct_2(k1_euclid(A), k1_numbers, k1_pdiff_7(A, k47_valued_1(k1_euclid(A), k1_numbers, k1_numbers, B, C), D), k47_valued_1(k1_euclid(A), k1_numbers, k1_numbers, k1_pdiff_7(A, B, D), k1_pdiff_7(A, C, D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (r1_pdiff_7(A, B, D) =>  (r1_pdiff_7(A, k26_valued_1(k1_euclid(A), k1_numbers, B, C), D) & r2_funct_2(k1_euclid(A), k1_numbers, k1_pdiff_7(A, k26_valued_1(k1_euclid(A), k1_numbers, B, C), D), k26_valued_1(k1_euclid(A), k1_numbers, k1_pdiff_7(A, B, D), C))) ) ) ) ) ) ) ) ) ) ).
fof(d3_pdiff_9, axiom,  (! [A] :  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B), k1_numbers))))  =>  (r2_pdiff_9(A, B, C) <=>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(B)) =>  (r2_tarski(D, A) => r1_pdiff_7(B, k2_partfun1(k1_euclid(B), k1_numbers, C, A), D)) ) ) ) ) ) ) ) ) ).
fof(t53_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(1)))))  =>  (r2_relset_1(k1_euclid(A), k1_euclid(1), k3_pdiff_1(A, C), D) =>  ( (r1_tarski(B, k1_relset_1(k1_euclid(A), C)) & r2_pdiff_9(B, A, C))  <=> r1_pdiff_6(B, 1, A, D)) ) ) ) ) ) ) ) ) ).
fof(t54_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  ( (r1_tarski(B, k1_relset_1(k1_euclid(A), C)) & v1_pdiff_7(B, A))  =>  (r2_pdiff_9(B, A, C) <=>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (r2_tarski(D, B) => r1_pdiff_7(A, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  ( (r1_tarski(B, k1_relset_1(k1_euclid(A), C)) & r2_pdiff_9(B, A, C))  => v1_pdiff_7(B, A)) ) ) ) ) ) ) ).
fof(d4_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (r1_tarski(B, k1_relset_1(k1_euclid(A), C)) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k9_funct_2(k1_euclid(A), k1_numbers)))))  =>  (D=k2_pdiff_9(A, B, C) <=>  (k1_relset_1(k1_euclid(A), D)=B &  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (r2_tarski(E, B) => k7_partfun1(k9_funct_2(k1_euclid(A), k1_numbers), D, E)=k1_pdiff_7(A, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(1)))))  =>  ( (r2_relset_1(k1_euclid(A), k1_euclid(1), k3_pdiff_1(A, C), D) &  (r1_tarski(B, k1_relset_1(k1_euclid(A), C)) & r2_pdiff_9(B, A, C)) )  =>  (r1_pdiff_6(B, 1, A, D) &  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (r2_tarski(E, B) => k7_partfun1(k9_funct_2(k1_euclid(A), k1_numbers), k2_pdiff_9(A, B, C), E)=k3_relat_1(k7_partfun1(k9_funct_2(k1_euclid(A), k1_euclid(1)), k1_pdiff_9(A, 1, B, D), E), k1_pdiff_1(1, 1))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  ( (r1_tarski(B, k1_relset_1(k1_euclid(A), C)) &  (r1_tarski(B, k1_relset_1(k1_euclid(A), D)) &  (r2_pdiff_9(B, A, C) & r2_pdiff_9(B, A, D)) ) )  =>  (r2_pdiff_9(B, A, k3_valued_1(k1_euclid(A), k1_numbers, k1_numbers, C, D)) &  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (r2_tarski(E, B) => k7_partfun1(k9_funct_2(k1_euclid(A), k1_numbers), k2_pdiff_9(A, B, k3_valued_1(k1_euclid(A), k1_numbers, k1_numbers, C, D)), E)=k1_valued_1(k7_partfun1(k9_funct_2(k1_euclid(A), k1_numbers), k2_pdiff_9(A, B, C), E), k7_partfun1(k9_funct_2(k1_euclid(A), k1_numbers), k2_pdiff_9(A, B, D), E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  ( (r1_tarski(B, k1_relset_1(k1_euclid(A), C)) &  (r1_tarski(B, k1_relset_1(k1_euclid(A), D)) &  (r2_pdiff_9(B, A, C) & r2_pdiff_9(B, A, D)) ) )  =>  (r2_pdiff_9(B, A, k47_valued_1(k1_euclid(A), k1_numbers, k1_numbers, C, D)) &  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (r2_tarski(E, B) => k7_partfun1(k9_funct_2(k1_euclid(A), k1_numbers), k2_pdiff_9(A, B, k47_valued_1(k1_euclid(A), k1_numbers, k1_numbers, C, D)), E)=k45_valued_1(k7_partfun1(k9_funct_2(k1_euclid(A), k1_numbers), k2_pdiff_9(A, B, C), E), k7_partfun1(k9_funct_2(k1_euclid(A), k1_numbers), k2_pdiff_9(A, B, D), E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_tarski(B, k1_relset_1(k1_euclid(A), C)) & r2_pdiff_9(B, A, C))  =>  (r2_pdiff_9(B, A, k26_valued_1(k1_euclid(A), k1_numbers, C, D)) &  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (r2_tarski(E, B) => k7_partfun1(k9_funct_2(k1_euclid(A), k1_numbers), k2_pdiff_9(A, B, k26_valued_1(k1_euclid(A), k1_numbers, C, D)), E)=k24_valued_1(k7_partfun1(k9_funct_2(k1_euclid(A), k1_numbers), k2_pdiff_9(A, B, C), E), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (r3_pdiff_9(A, B, C, D) <=>  (r1_tarski(B, k1_relset_1(k1_euclid(A), D)) &  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (r2_tarski(E, B) => r3_pdiff_1(A, C, k2_partfun1(k1_euclid(A), k1_numbers, D, B), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (r3_pdiff_9(A, B, C, D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (E=k3_pdiff_9(A, B, C, D) <=>  (k1_relset_1(k1_euclid(A), E)=B &  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(A)) =>  (r2_tarski(F, B) => k7_partfun1(k1_numbers, E, F)=k10_pdiff_1(A, C, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [D] :  (v7_ordinal1(D) =>  ( (v1_pdiff_7(B, A) &  (r1_xxreal_0(1, D) & r1_xxreal_0(D, A)) )  =>  (r3_pdiff_9(A, B, D, C) <=>  (r1_tarski(B, k1_relset_1(k1_euclid(A), C)) &  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  (r2_tarski(E, B) => r3_pdiff_1(A, D, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(1)))))  =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_relset_1(k1_euclid(A), k1_euclid(1), k3_pdiff_1(A, C), D) &  (v1_pdiff_7(B, A) &  (r1_xxreal_0(1, E) & r1_xxreal_0(E, A)) ) )  =>  (r3_pdiff_9(A, B, E, C) <=> r2_pdiff_7(A, 1, E, D, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(1)))))  =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_relset_1(k1_euclid(A), k1_euclid(1), k3_pdiff_1(A, C), D) &  (v1_pdiff_7(B, A) &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, A) & r3_pdiff_9(A, B, E, C)) ) ) )  =>  (r1_pdiff_9(A, B, k3_pdiff_9(A, B, E, C)) <=> r4_pdiff_7(A, 1, k2_pdiff_7(A, 1, E, D, B), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  ( (v1_pdiff_7(B, A) & r1_tarski(B, k1_relset_1(k1_euclid(A), C)))  =>  ( (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, A))  =>  (r3_pdiff_9(A, B, D, C) & r1_pdiff_9(A, B, k3_pdiff_9(A, B, D, C))) ) ) )  <=>  (r2_pdiff_9(B, A, C) &  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_tarski(D, B) &  ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(F, k5_numbers))  &  (! [G] :  (m2_finseq_2(G, k1_numbers, k1_euclid(A)) =>  (r2_tarski(G, B) =>  (r1_xxreal_0(F, k12_euclid(k8_euclid(A, G, D))) |  (! [H] :  (m2_finseq_2(H, k1_numbers, k1_euclid(A)) => r1_xxreal_0(k9_complex1(k5_real_1(k3_funct_2(k1_euclid(A), k1_numbers, k1_pdiff_7(A, C, G), H), k3_funct_2(k1_euclid(A), k1_numbers, k1_pdiff_7(A, C, D), H))), k3_xcmplx_0(E, k12_euclid(H)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  ( (r3_pdiff_1(A, B, C, E) & r3_pdiff_1(A, B, D, E))  =>  (r3_pdiff_1(A, B, k20_valued_1(k1_euclid(A), k1_numbers, k1_numbers, C, D), E) & k10_pdiff_1(A, B, k20_valued_1(k1_euclid(A), k1_numbers, k1_numbers, C, D), E)=k2_xcmplx_0(k3_xcmplx_0(k10_pdiff_1(A, B, C, E), k1_funct_1(D, E)), k3_xcmplx_0(k1_funct_1(C, E), k10_pdiff_1(A, B, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_euclid(A))) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  ( (v1_pdiff_7(C, A) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, A) &  (r3_pdiff_9(A, C, B, D) & r3_pdiff_9(A, C, B, E)) ) ) )  =>  (r3_pdiff_9(A, C, B, k3_valued_1(k1_euclid(A), k1_numbers, k1_numbers, D, E)) &  (r2_relset_1(k1_euclid(A), k1_numbers, k3_pdiff_9(A, C, B, k3_valued_1(k1_euclid(A), k1_numbers, k1_numbers, D, E)), k3_valued_1(k1_euclid(A), k1_numbers, k1_numbers, k3_pdiff_9(A, C, B, D), k3_pdiff_9(A, C, B, E))) &  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(A)) =>  (r2_tarski(F, C) => k7_partfun1(k1_numbers, k3_pdiff_9(A, C, B, k3_valued_1(k1_euclid(A), k1_numbers, k1_numbers, D, E)), F)=k2_xcmplx_0(k10_pdiff_1(A, B, D, F), k10_pdiff_1(A, B, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_euclid(A))) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  ( (v1_pdiff_7(C, A) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, A) &  (r3_pdiff_9(A, C, B, D) & r3_pdiff_9(A, C, B, E)) ) ) )  =>  (r3_pdiff_9(A, C, B, k47_valued_1(k1_euclid(A), k1_numbers, k1_numbers, D, E)) &  (r2_relset_1(k1_euclid(A), k1_numbers, k3_pdiff_9(A, C, B, k47_valued_1(k1_euclid(A), k1_numbers, k1_numbers, D, E)), k47_valued_1(k1_euclid(A), k1_numbers, k1_numbers, k3_pdiff_9(A, C, B, D), k3_pdiff_9(A, C, B, E))) &  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(A)) =>  (r2_tarski(F, C) => k7_partfun1(k1_numbers, k3_pdiff_9(A, C, B, k47_valued_1(k1_euclid(A), k1_numbers, k1_numbers, D, E)), F)=k6_xcmplx_0(k10_pdiff_1(A, B, D, F), k10_pdiff_1(A, B, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_euclid(A))) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  ( (v1_pdiff_7(C, A) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, A) & r3_pdiff_9(A, C, B, E)) ) )  =>  (r3_pdiff_9(A, C, B, k26_valued_1(k1_euclid(A), k1_numbers, E, D)) &  (r2_relset_1(k1_euclid(A), k1_numbers, k3_pdiff_9(A, C, B, k26_valued_1(k1_euclid(A), k1_numbers, E, D)), k26_valued_1(k1_euclid(A), k1_numbers, k3_pdiff_9(A, C, B, E), D)) &  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(A)) =>  (r2_tarski(F, C) => k7_partfun1(k1_numbers, k3_pdiff_9(A, C, B, k26_valued_1(k1_euclid(A), k1_numbers, E, D)), F)=k3_xcmplx_0(D, k10_pdiff_1(A, B, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_euclid(A))) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  ( (v1_pdiff_7(C, A) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, A) &  (r3_pdiff_9(A, C, B, D) & r3_pdiff_9(A, C, B, E)) ) ) )  =>  (r3_pdiff_9(A, C, B, k20_valued_1(k1_euclid(A), k1_numbers, k1_numbers, D, E)) &  (r2_relset_1(k1_euclid(A), k1_numbers, k3_pdiff_9(A, C, B, k20_valued_1(k1_euclid(A), k1_numbers, k1_numbers, D, E)), k3_valued_1(k1_euclid(A), k1_numbers, k1_numbers, k20_valued_1(k1_euclid(A), k1_numbers, k1_numbers, k3_pdiff_9(A, C, B, D), E), k20_valued_1(k1_euclid(A), k1_numbers, k1_numbers, D, k3_pdiff_9(A, C, B, E)))) &  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(A)) =>  (r2_tarski(F, C) => k7_partfun1(k1_numbers, k3_pdiff_9(A, C, B, k20_valued_1(k1_euclid(A), k1_numbers, k1_numbers, D, E)), F)=k2_xcmplx_0(k3_xcmplx_0(k10_pdiff_1(A, B, D, F), k1_funct_1(E, F)), k3_xcmplx_0(k1_funct_1(D, F), k10_pdiff_1(A, B, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k4_partfun1(k1_euclid(A), k1_numbers)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(k1_euclid(A), k1_numbers))))) )  =>  (E=k4_pdiff_9(A, B, C, D) <=>  (r2_relset_1(k1_euclid(A), k1_numbers, k1_seqfunc(k1_euclid(A), k1_numbers, E, k5_numbers), k2_partfun1(k1_euclid(A), k1_numbers, D, B)) &  (! [F] :  (v7_ordinal1(F) => r2_relset_1(k1_euclid(A), k1_numbers, k1_seqfunc(k1_euclid(A), k1_numbers, E, k1_nat_1(F, 1)), k3_pdiff_9(A, B, k7_partfun1(k4_ordinal1, C, k1_nat_1(F, 1)), k1_seqfunc(k1_euclid(A), k1_numbers, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (r4_pdiff_9(A, B, C, D) <=>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r1_xxreal_0(E, k6_xcmplx_0(k3_finseq_1(C), 1)) => r3_pdiff_9(A, B, k7_partfun1(k4_ordinal1, C, k1_nat_1(E, 1)), k1_seqfunc(k1_euclid(A), k1_numbers, k4_pdiff_9(A, B, C, D), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  => k5_pdiff_9(A, B, C, D)=k1_seqfunc(k1_euclid(A), k1_numbers, k4_pdiff_9(A, B, C, D), k3_finseq_1(C))) ) ) ) ) ) ) ).
fof(t69_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  ( (v1_pdiff_7(B, A) &  (r1_tarski(B, k1_relset_1(k1_euclid(A), D)) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, A) &  (r2_tarski(E, B) & r3_pdiff_1(A, C, D, E)) ) ) ) )  =>  (r3_pdiff_1(A, C, k2_partfun1(k1_euclid(A), k1_numbers, D, B), E) & k10_pdiff_1(A, C, D, E)=k10_pdiff_1(A, C, k2_partfun1(k1_euclid(A), k1_numbers, D, B), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (r3_pdiff_9(A, B, C, D) <=> r3_pdiff_9(A, B, C, k2_partfun1(k1_euclid(A), k1_numbers, D, B))) ) ) ) ) ) ) ) ).
fof(d10_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (r3_pdiff_9(A, B, C, D) <=> r3_pdiff_9(A, B, C, k2_partfun1(k1_euclid(A), k1_numbers, D, B))) ) ) ) ) ) ) ) ).
fof(t71_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  ( (v1_pdiff_7(B, A) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, A) & r3_pdiff_9(A, B, C, D)) ) )  => r2_relset_1(k1_euclid(A), k1_numbers, k3_pdiff_9(A, B, C, D), k3_pdiff_9(A, B, C, k2_partfun1(k1_euclid(A), k1_numbers, D, B)))) ) ) ) ) ) ) ) ) ).
fof(t72_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m2_finseq_1(D, k4_ordinal1))  =>  (r4_pdiff_9(A, B, D, C) => r2_relset_1(k1_euclid(A), k1_numbers, k2_partfun1(k1_euclid(A), k1_numbers, k5_pdiff_9(A, B, D, C), B), k5_pdiff_9(A, B, D, C))) ) ) ) ) ) ) ) ).
fof(t73_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m2_finseq_1(D, k4_ordinal1))  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m2_finseq_1(E, k4_ordinal1))  =>  (r4_pdiff_9(A, B, E, C) =>  (! [F] :  (v7_ordinal1(F) =>  (r1_xxreal_0(F, k3_finseq_1(D)) => r2_relset_1(k1_euclid(A), k1_numbers, k1_seqfunc(k1_euclid(A), k1_numbers, k4_pdiff_9(A, B, D, k5_pdiff_9(A, B, E, C)), F), k1_seqfunc(k1_euclid(A), k1_numbers, k4_pdiff_9(A, B, k8_finseq_1(k4_ordinal1, E, D), C), k2_xcmplx_0(k3_finseq_1(E), F)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t74_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m2_finseq_1(C, k4_ordinal1))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  ( (v1_pdiff_7(B, A) &  (r1_tarski(k1_rvsum_1(C), k2_finseq_1(A)) &  (r4_pdiff_9(A, B, C, D) & r4_pdiff_9(A, B, C, E)) ) )  =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r1_xxreal_0(F, k6_xcmplx_0(k3_finseq_1(C), 1)) =>  (r3_pdiff_9(A, B, k7_partfun1(k4_ordinal1, C, k1_nat_1(F, 1)), k1_seqfunc(k1_euclid(A), k1_numbers, k4_pdiff_9(A, B, C, k3_valued_1(k1_euclid(A), k1_numbers, k1_numbers, D, E)), F)) & r2_relset_1(k1_euclid(A), k1_numbers, k1_seqfunc(k1_euclid(A), k1_numbers, k4_pdiff_9(A, B, C, k3_valued_1(k1_euclid(A), k1_numbers, k1_numbers, D, E)), F), k3_valued_1(k1_euclid(A), k1_numbers, k1_numbers, k1_seqfunc(k1_euclid(A), k1_numbers, k4_pdiff_9(A, B, C, D), F), k1_seqfunc(k1_euclid(A), k1_numbers, k4_pdiff_9(A, B, C, E), F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m2_finseq_1(C, k4_ordinal1))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  ( (v1_pdiff_7(B, A) &  (r1_tarski(k1_rvsum_1(C), k2_finseq_1(A)) &  (r4_pdiff_9(A, B, C, D) & r4_pdiff_9(A, B, C, E)) ) )  =>  (r4_pdiff_9(A, B, C, k3_valued_1(k1_euclid(A), k1_numbers, k1_numbers, D, E)) & r2_relset_1(k1_euclid(A), k1_numbers, k5_pdiff_9(A, B, C, k3_valued_1(k1_euclid(A), k1_numbers, k1_numbers, D, E)), k3_valued_1(k1_euclid(A), k1_numbers, k1_numbers, k5_pdiff_9(A, B, C, D), k5_pdiff_9(A, B, C, E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t76_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m2_finseq_1(C, k4_ordinal1))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  ( (v1_pdiff_7(B, A) &  (r1_tarski(k1_rvsum_1(C), k2_finseq_1(A)) &  (r4_pdiff_9(A, B, C, D) & r4_pdiff_9(A, B, C, E)) ) )  =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r1_xxreal_0(F, k6_xcmplx_0(k3_finseq_1(C), 1)) =>  (r3_pdiff_9(A, B, k7_partfun1(k4_ordinal1, C, k1_nat_1(F, 1)), k1_seqfunc(k1_euclid(A), k1_numbers, k4_pdiff_9(A, B, C, k47_valued_1(k1_euclid(A), k1_numbers, k1_numbers, D, E)), F)) & r2_relset_1(k1_euclid(A), k1_numbers, k1_seqfunc(k1_euclid(A), k1_numbers, k4_pdiff_9(A, B, C, k47_valued_1(k1_euclid(A), k1_numbers, k1_numbers, D, E)), F), k47_valued_1(k1_euclid(A), k1_numbers, k1_numbers, k1_seqfunc(k1_euclid(A), k1_numbers, k4_pdiff_9(A, B, C, D), F), k1_seqfunc(k1_euclid(A), k1_numbers, k4_pdiff_9(A, B, C, E), F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t77_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m2_finseq_1(C, k4_ordinal1))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  ( (v1_pdiff_7(B, A) &  (r1_tarski(k1_rvsum_1(C), k2_finseq_1(A)) &  (r4_pdiff_9(A, B, C, D) & r4_pdiff_9(A, B, C, E)) ) )  =>  (r4_pdiff_9(A, B, C, k47_valued_1(k1_euclid(A), k1_numbers, k1_numbers, D, E)) & r2_relset_1(k1_euclid(A), k1_numbers, k5_pdiff_9(A, B, C, k47_valued_1(k1_euclid(A), k1_numbers, k1_numbers, D, E)), k47_valued_1(k1_euclid(A), k1_numbers, k1_numbers, k5_pdiff_9(A, B, C, D), k5_pdiff_9(A, B, C, E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t78_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m2_finseq_1(D, k4_ordinal1))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  ( (v1_pdiff_7(B, A) &  (r1_tarski(k1_rvsum_1(D), k2_finseq_1(A)) & r4_pdiff_9(A, B, D, E)) )  =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r1_xxreal_0(F, k6_xcmplx_0(k3_finseq_1(D), 1)) =>  (r3_pdiff_9(A, B, k7_partfun1(k4_ordinal1, D, k1_nat_1(F, 1)), k1_seqfunc(k1_euclid(A), k1_numbers, k4_pdiff_9(A, B, D, k26_valued_1(k1_euclid(A), k1_numbers, E, C)), F)) & r2_relset_1(k1_euclid(A), k1_numbers, k1_seqfunc(k1_euclid(A), k1_numbers, k4_pdiff_9(A, B, D, k26_valued_1(k1_euclid(A), k1_numbers, E, C)), F), k26_valued_1(k1_euclid(A), k1_numbers, k1_seqfunc(k1_euclid(A), k1_numbers, k4_pdiff_9(A, B, D, E), F), C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t79_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m2_finseq_1(D, k4_ordinal1))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  ( (v1_pdiff_7(B, A) &  (r1_tarski(k1_rvsum_1(D), k2_finseq_1(A)) & r4_pdiff_9(A, B, D, E)) )  =>  (r4_pdiff_9(A, B, D, k26_valued_1(k1_euclid(A), k1_numbers, E, C)) & r2_relset_1(k1_euclid(A), k1_numbers, k5_pdiff_9(A, B, D, k26_valued_1(k1_euclid(A), k1_numbers, E, C)), k26_valued_1(k1_euclid(A), k1_numbers, k5_pdiff_9(A, B, D, E), C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (r5_pdiff_9(A, B, C, D) <=>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m2_finseq_1(E, k4_ordinal1))  =>  ( (r1_xxreal_0(k3_finseq_1(E), C) & r1_tarski(k1_rvsum_1(E), k2_finseq_1(A)))  => r4_pdiff_9(A, D, E, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t80_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m2_finseq_1(D, k4_ordinal1))  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m2_finseq_1(E, k4_ordinal1))  =>  (r4_pdiff_9(A, B, k8_finseq_1(k4_ordinal1, E, D), C) <=>  (r4_pdiff_9(A, B, E, C) & r4_pdiff_9(A, B, D, k5_pdiff_9(A, B, E, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t81_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (r4_pdiff_9(A, C, k12_finseq_1(k4_ordinal1, B), D) <=> r3_pdiff_9(A, C, B, D)) ) ) ) ) ) ) ) ).
fof(d12_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (r3_pdiff_9(A, B, C, D) <=> r4_pdiff_9(A, B, k12_finseq_1(k4_ordinal1, C), D)) ) ) ) ) ) ) ) ).
fof(t82_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_euclid(A))) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (v1_pdiff_7(C, A) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, A) & r3_pdiff_9(A, C, D, B)) ) )  => r2_relset_1(k1_euclid(A), k1_numbers, k5_pdiff_9(A, C, k12_finseq_1(k4_ordinal1, D), B), k3_pdiff_9(A, C, D, B))) ) ) ) ) ) ) ) ) ).
fof(t83_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  & m2_finseq_1(F, k4_ordinal1))  =>  ( (r5_pdiff_9(A, E, k2_xcmplx_0(C, D), B) &  (r1_tarski(k1_rvsum_1(F), k2_finseq_1(A)) & k3_finseq_1(F)=D) )  => r5_pdiff_9(A, k5_pdiff_9(A, B, F, E), C, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t84_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  ( (r5_pdiff_9(A, E, C, B) & r1_xxreal_0(D, C))  => r5_pdiff_9(A, E, D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t85_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_euclid(A))) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  ( (v1_pdiff_7(C, A) &  (r5_pdiff_9(A, D, B, C) & r5_pdiff_9(A, E, B, C)) )  =>  (r5_pdiff_9(A, k3_valued_1(k1_euclid(A), k1_numbers, k1_numbers, D, E), B, C) & r5_pdiff_9(A, k47_valued_1(k1_euclid(A), k1_numbers, k1_numbers, D, E), B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t86_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_euclid(A))) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [E] :  (v1_xreal_0(E) =>  ( (v1_pdiff_7(C, A) & r5_pdiff_9(A, D, B, C))  => r5_pdiff_9(A, k26_valued_1(k1_euclid(A), k1_numbers, D, E), B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t87_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_euclid(A))) =>  (v1_pdiff_7(B, A) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  ( (r5_pdiff_9(A, D, C, B) & r5_pdiff_9(A, E, C, B))  => r5_pdiff_9(A, k20_valued_1(k1_euclid(A), k1_numbers, k1_numbers, D, E), C, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t88_pdiff_9, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers))))  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m2_finseq_1(D, k4_ordinal1))  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m2_finseq_1(E, k4_ordinal1))  =>  (r4_pdiff_9(A, B, E, C) => r2_relset_1(k1_euclid(A), k1_numbers, k5_pdiff_9(A, B, D, k5_pdiff_9(A, B, E, C)), k5_pdiff_9(A, B, k8_finseq_1(k4_ordinal1, E, D), C))) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_pdiff_9, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  &  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(B))))) ) )  =>  (v1_funct_1(k1_pdiff_9(A, B, C, D)) & m1_subset_1(k1_pdiff_9(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k9_funct_2(k1_euclid(A), k1_euclid(B)))))) ) ) ).
fof(dt_k2_pdiff_9, axiom,  (! [A, B, C] :  ( ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers)))) )  =>  (v1_funct_1(k2_pdiff_9(A, B, C)) & m1_subset_1(k2_pdiff_9(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k9_funct_2(k1_euclid(A), k1_numbers))))) ) ) ).
fof(dt_k3_pdiff_9, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  &  (v7_ordinal1(C) &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers)))) ) )  =>  (v1_funct_1(k3_pdiff_9(A, B, C, D)) & m1_subset_1(k3_pdiff_9(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers)))) ) ) ).
fof(dt_k4_pdiff_9, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  &  (m1_finseq_1(C, k4_ordinal1) &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers)))) ) )  =>  (v1_funct_1(k4_pdiff_9(A, B, C, D)) &  (v1_funct_2(k4_pdiff_9(A, B, C, D), k4_ordinal1, k4_partfun1(k1_euclid(A), k1_numbers)) & m1_subset_1(k4_pdiff_9(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_partfun1(k1_euclid(A), k1_numbers))))) ) ) ) ).
fof(dt_k5_pdiff_9, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  &  (m1_finseq_1(C, k4_ordinal1) &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers)))) ) )  =>  (v1_funct_1(k5_pdiff_9(A, B, C, D)) & m1_subset_1(k5_pdiff_9(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers)))) ) ) ).
fof(rc1_pells_eq, axiom,  (? [A] :  (m1_subset_1(A, k2_zfmisc_1(k4_numbers, k4_numbers)) &  (v1_xtuple_0(A) & v1_pells_eq(A, k4_numbers, k4_numbers)) ) ) ).
fof(fc1_pells_eq, axiom,  (! [A] :  ( (v1_pells_eq(A, k4_numbers, k4_numbers) & m1_subset_1(A, k2_zfmisc_1(k4_numbers, k4_numbers)))  =>  (v2_xxreal_0(k1_xtuple_0(A)) & v1_int_1(k1_xtuple_0(A))) ) ) ).
fof(fc2_pells_eq, axiom,  (! [A] :  ( (v1_pells_eq(A, k4_numbers, k4_numbers) & m1_subset_1(A, k2_zfmisc_1(k4_numbers, k4_numbers)))  =>  (v2_xxreal_0(k2_xtuple_0(A)) & v1_int_1(k2_xtuple_0(A))) ) ) ).
fof(rc2_pells_eq, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_pythtrip(A)) )  =>  (? [B] :  (m1_pells_eq(B, A) &  (v1_xtuple_0(B) & v1_pells_eq(B, k4_numbers, k4_numbers)) ) ) ) ) ).
fof(t1_pells_eq, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  ( ~ (r1_xxreal_0(k5_numbers, B))  =>  ( ~ (r1_xxreal_0(k5_int_1(A, B), B))  & r1_xxreal_0(k5_int_1(A, B), k5_numbers)) ) ) ) ) ) ).
fof(t2_pells_eq, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  ~ ( ( ~ (B=k5_numbers)  & r1_xxreal_0(k9_complex1(B), k9_complex1(k5_int_1(A, B)))) ) ) ) ) ) ).
fof(t3_pells_eq, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_pythtrip(A)) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  (! [E] :  (v1_int_1(E) =>  (k2_xcmplx_0(B, k3_xcmplx_0(C, k3_square_1(A)))=k2_xcmplx_0(D, k3_xcmplx_0(E, k3_square_1(A))) =>  (B=D & C=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_pells_eq, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) &  (? [F] :  (v7_ordinal1(F) & k2_xcmplx_0(E, k3_xcmplx_0(F, k3_square_1(A)))=k1_newton(k2_xcmplx_0(B, k3_xcmplx_0(C, k3_square_1(A))), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_pells_eq, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v1_int_1(E) &  (? [F] :  (v1_int_1(F) & k2_xcmplx_0(E, k3_xcmplx_0(F, k3_square_1(A)))=k1_newton(k2_xcmplx_0(B, k3_xcmplx_0(C, k3_square_1(A))), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_pells_eq, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_pythtrip(A)) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  (! [E] :  (v1_int_1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (k2_xcmplx_0(B, k3_xcmplx_0(C, k3_square_1(A)))=k1_newton(k2_xcmplx_0(D, k3_xcmplx_0(E, k3_square_1(A))), F) => k6_xcmplx_0(B, k3_xcmplx_0(C, k3_square_1(A)))=k1_newton(k6_xcmplx_0(D, k3_xcmplx_0(E, k3_square_1(A))), F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_pells_eq, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (? [C] :  (m2_finseq_1(C, k4_ordinal1) &  (k3_finseq_1(C)=k2_xcmplx_0(A, 1) &  ( (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(C)) => k1_funct_1(C, D)=k2_xcmplx_0(k1_int_1(k3_xcmplx_0(k6_xcmplx_0(D, 1), k3_square_1(B))), 1)) ) )  &  ( ~ (v1_pythtrip(B))  => v2_funct_1(C)) ) ) ) ) ) ) ) ) ).
fof(t8_pells_eq, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  ~ ( ( ~ (r1_xxreal_0(A, 1))  &  (k3_finseq_1(D)=k2_xcmplx_0(A, 1) &  ( (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) =>  ( ~ (r1_xxreal_0(k1_funct_1(D, E), B))  & r1_xxreal_0(k1_funct_1(D, E), C)) ) ) )  &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r2_tarski(E, k4_finseq_1(D)) &  (r2_tarski(F, k4_finseq_1(D)) &  ( ~ (E=F)  &  (r1_xxreal_0(k1_funct_1(D, E), k1_funct_1(D, F)) &  ~ (r1_xxreal_0(k7_xcmplx_0(k6_xcmplx_0(C, B), A), k6_xcmplx_0(k1_funct_1(D, F), k1_funct_1(D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_pells_eq, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (v1_pythtrip(B))  &  ( ~ (r1_xxreal_0(A, 1))  &  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  ~ ( ( ~ (D=k5_numbers)  &  (r1_xxreal_0(k9_complex1(D), A) &  ( ~ (r1_xxreal_0(k6_xcmplx_0(C, k3_xcmplx_0(D, k3_square_1(B))), k5_numbers))  &  ~ (r1_xxreal_0(k7_xcmplx_0(1, A), k6_xcmplx_0(C, k3_xcmplx_0(D, k3_square_1(B))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_pells_eq, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  (r1_xxreal_0(k9_complex1(D), A) =>  (v1_pythtrip(B) |  (A=k5_numbers |  (r1_xxreal_0(k6_xcmplx_0(C, k3_xcmplx_0(D, k3_square_1(B))), k5_numbers) |  (r1_xxreal_0(k7_xcmplx_0(1, A), k6_xcmplx_0(C, k3_xcmplx_0(D, k3_square_1(B)))) | r1_xxreal_0(k9_complex1(k6_xcmplx_0(k1_square_1(C), k3_xcmplx_0(B, k1_square_1(D)))), k2_xcmplx_0(k3_xcmplx_0(2, k3_square_1(B)), k7_xcmplx_0(1, k1_square_1(A))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_pells_eq, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (v1_pythtrip(A))  &  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ~ ( ( ~ (C=k5_numbers)  &  ( ~ (r1_xxreal_0(k6_xcmplx_0(B, k3_xcmplx_0(C, k3_square_1(A))), k5_numbers))  &  ~ (r1_xxreal_0(k2_xcmplx_0(k3_xcmplx_0(2, k3_square_1(A)), 1), k9_complex1(k6_xcmplx_0(k1_square_1(B), k3_xcmplx_0(A, k1_square_1(C)))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_pells_eq, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (v1_pythtrip(A))  &  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  (! [E] :  (v1_int_1(E) =>  (! [F] :  (v1_int_1(F) =>  ~ ( ( ~ (k5_numbers=B)  &  (k6_xcmplx_0(k1_square_1(C), k3_xcmplx_0(A, k1_square_1(D)))=B &  (B=k6_xcmplx_0(k1_square_1(E), k3_xcmplx_0(A, k1_square_1(F))) &  (r2_int_1(C, E, B) &  (r2_int_1(D, F, B) &  ~ ( (k9_complex1(C)=k9_complex1(E) & k9_complex1(D)=k9_complex1(F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_pells_eq, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (v1_pythtrip(A))  &  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (k6_xcmplx_0(k1_square_1(B), k3_xcmplx_0(A, k1_square_1(C)))=1 &  ~ (C=k5_numbers) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_pells_eq, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k4_numbers, k4_numbers)) =>  (m1_pells_eq(B, A) <=> k6_xcmplx_0(k1_square_1(k2_domain_1(k4_numbers, k4_numbers, B)), k3_xcmplx_0(A, k1_square_1(k3_domain_1(k4_numbers, k4_numbers, B))))=1) ) ) ) ) ).
fof(d2_pells_eq, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v3_membered(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v3_membered(B))  =>  (! [C] :  (m1_subset_1(C, k2_zfmisc_1(A, B)) =>  (v1_pells_eq(C, A, B) <=>  (v2_xxreal_0(k2_domain_1(A, B, C)) & v2_xxreal_0(k3_domain_1(A, B, C))) ) ) ) ) ) ) ) ).
fof(t15_pells_eq, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_pythtrip(A))  =>  (! [B] :  ( (v1_pells_eq(B, k4_numbers, k4_numbers) & m1_subset_1(B, k2_zfmisc_1(k4_numbers, k4_numbers)))  =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  & m1_pells_eq(B, A)) ) ) ) ) ) ).
fof(t16_pells_eq, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (v1_pythtrip(A))  &  (! [B] :  (m1_pells_eq(B, A) =>  ~ (v1_pells_eq(B, k4_numbers, k4_numbers)) ) ) ) ) ) ) ).
fof(t18_pells_eq, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_pells_eq(B, A) =>  ( ~ (v1_pythtrip(A))  =>  (v1_pells_eq(B, k4_numbers, k4_numbers) <=>  ~ (r1_xxreal_0(k2_xcmplx_0(k2_domain_1(k4_numbers, k4_numbers, B), k3_xcmplx_0(k3_domain_1(k4_numbers, k4_numbers, B), k3_square_1(A))), 1)) ) ) ) ) ) ) ).
fof(t19_pells_eq, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_pells_eq(B, A) =>  (! [C] :  (m1_pells_eq(C, A) =>  ~ ( ( ~ (r1_xxreal_0(k2_xcmplx_0(k2_domain_1(k4_numbers, k4_numbers, B), k3_xcmplx_0(k3_domain_1(k4_numbers, k4_numbers, B), k3_square_1(A))), 1))  &  ( ~ (r1_xxreal_0(k2_xcmplx_0(k2_domain_1(k4_numbers, k4_numbers, C), k3_xcmplx_0(k3_domain_1(k4_numbers, k4_numbers, C), k3_square_1(A))), k2_xcmplx_0(k2_domain_1(k4_numbers, k4_numbers, B), k3_xcmplx_0(k3_domain_1(k4_numbers, k4_numbers, B), k3_square_1(A)))))  &  ( ~ (v1_pythtrip(A))  &  ~ ( ( ~ (r1_xxreal_0(k2_domain_1(k4_numbers, k4_numbers, C), k2_domain_1(k4_numbers, k4_numbers, B)))  &  ~ (r1_xxreal_0(k3_domain_1(k4_numbers, k4_numbers, C), k3_domain_1(k4_numbers, k4_numbers, B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_pells_eq, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_pythtrip(A)) )  =>  (! [B] :  ( (v1_pells_eq(B, k4_numbers, k4_numbers) & m1_pells_eq(B, A))  =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (k2_xcmplx_0(C, k3_xcmplx_0(D, k3_square_1(A)))=k1_newton(k2_xcmplx_0(k2_domain_1(k4_numbers, k4_numbers, B), k3_xcmplx_0(k3_domain_1(k4_numbers, k4_numbers, B), k3_square_1(A))), E) =>  (r1_xxreal_0(E, k5_numbers) |  (v1_pells_eq(k4_tarski(C, D), k4_numbers, k4_numbers) & m1_pells_eq(k4_tarski(C, D), A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_pells_eq, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_pythtrip(A)) )  =>  (! [B] :  ( (v1_pells_eq(B, k4_numbers, k4_numbers) & m1_pells_eq(B, A))  =>  (B=k1_pells_eq(A) <=>  (! [C] :  ( (v1_pells_eq(C, k4_numbers, k4_numbers) & m1_pells_eq(C, A))  =>  (r1_xxreal_0(k2_domain_1(k4_numbers, k4_numbers, B), k2_domain_1(k4_numbers, k4_numbers, C)) & r1_xxreal_0(k3_domain_1(k4_numbers, k4_numbers, B), k3_domain_1(k4_numbers, k4_numbers, C))) ) ) ) ) ) ) ) ).
fof(t21_pells_eq, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_pythtrip(A)) )  =>  (! [B] :  (m1_subset_1(B, k2_zfmisc_1(k4_numbers, k4_numbers)) =>  ( (v1_pells_eq(B, k4_numbers, k4_numbers) & m1_pells_eq(B, A))  <=>  (? [C] :  ( (v2_xxreal_0(C) & v7_ordinal1(C))  & k2_xcmplx_0(k2_domain_1(k4_numbers, k4_numbers, B), k3_xcmplx_0(k3_domain_1(k4_numbers, k4_numbers, B), k3_square_1(A)))=k1_newton(k2_xcmplx_0(k2_domain_1(k4_numbers, k4_numbers, k1_pells_eq(A)), k3_xcmplx_0(k3_domain_1(k4_numbers, k4_numbers, k1_pells_eq(A)), k3_square_1(A))), C)) ) ) ) ) ) ) ).
fof(dt_m1_pells_eq, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_pells_eq(B, A) => m1_subset_1(B, k2_zfmisc_1(k4_numbers, k4_numbers))) ) ) ) ).
fof(existence_m1_pells_eq, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] : m1_pells_eq(B, A)) ) ) ).
fof(dt_k1_pells_eq, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_pythtrip(A)) )  =>  (v1_pells_eq(k1_pells_eq(A), k4_numbers, k4_numbers) & m1_pells_eq(k1_pells_eq(A), A)) ) ) ).
fof(t12_pells_eq, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (v1_pythtrip(A))  & v1_finset_1(a_1_0_pells_eq(A))) ) ) ) ).
fof(t17_pells_eq, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_pythtrip(A)) )  =>  ~ (v1_finset_1(a_1_1_pells_eq(A))) ) ) ).
fof(fraenkel_a_1_0_pells_eq, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_0_pells_eq(B)) <=>  (? [C, D] :  ( (v1_int_1(C) & v1_int_1(D))  &  (A=k4_tarski(C, D) &  ( ~ (D=k5_numbers)  &  ( ~ (r1_xxreal_0(k2_xcmplx_0(k3_xcmplx_0(2, k3_square_1(B)), 1), k9_complex1(k6_xcmplx_0(k1_square_1(C), k3_xcmplx_0(B, k1_square_1(D))))))  &  ~ (r1_xxreal_0(k6_xcmplx_0(C, k3_xcmplx_0(D, k3_square_1(B))), k5_numbers)) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_1_pells_eq, axiom,  (! [A, B] :  ( (v7_ordinal1(B) &  ~ (v1_pythtrip(B)) )  =>  (r2_hidden(A, a_1_1_pells_eq(B)) <=>  (? [C] :  ( (v1_pells_eq(C, k4_numbers, k4_numbers) & m1_pells_eq(C, B))  & A=C) ) ) ) ) ).
fof(rc1_pencil_1, axiom,  (? [A] :  (l1_pre_topc(A) &  ( ~ (v2_struct_0(A))  &  (v1_pre_topc(A) &  ( ~ (v3_pencil_1(A))  &  ( ~ (v4_pencil_1(A))  &  (v5_pencil_1(A) &  (v6_pencil_1(A) &  ( ~ (v7_pencil_1(A))  & v8_pencil_1(A)) ) ) ) ) ) ) ) ) ).
fof(rc2_pencil_1, axiom,  (? [A] :  (l1_pre_topc(A) &  ( ~ (v2_struct_0(A))  &  (v1_pre_topc(A) &  ( ~ (v3_pencil_1(A))  &  ( ~ (v4_pencil_1(A))  &  (v5_pencil_1(A) &  (v6_pencil_1(A) &  (v7_pencil_1(A) & v8_pencil_1(A)) ) ) ) ) ) ) ) ) ).
fof(fc1_pencil_1, axiom,  (! [A] :  ( ( ~ (v3_pencil_1(A))  & l1_pre_topc(A))  =>  ~ (v1_xboole_0(u1_pre_topc(A))) ) ) ).
fof(cc1_pencil_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v13_pencil_1(A))  =>  (v1_relat_1(A) & v4_waybel_3(A)) ) ) ).
fof(cc2_pencil_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v14_pencil_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v4_waybel_3(A) & v1_waybel18(A)) ) ) ) ) ).
fof(cc3_pencil_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_waybel18(A) & v14_pencil_1(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_waybel18(A) & v11_pencil_1(A)) ) ) ) ) ).
fof(cc4_pencil_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_waybel18(A) & v14_pencil_1(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_waybel18(A) & v13_pencil_1(A)) ) ) ) ) ).
fof(rc3_pencil_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v14_pencil_1(B)) ) ) ) ) ) ).
fof(fc2_pencil_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v1_relat_1(k1_pzfmisc1(A, B)) &  (v4_relat_1(k1_pzfmisc1(A, B), A) &  (v1_funct_1(k1_pzfmisc1(A, B)) &  (v1_partfun1(k1_pzfmisc1(A, B), A) & v12_pencil_1(k1_pzfmisc1(A, B))) ) ) ) ) ) ).
fof(fc3_pencil_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (v1_relat_1(k1_pzfmisc1(A, B)) &  (v4_relat_1(k1_pzfmisc1(A, B), A) &  (v1_funct_1(k1_pzfmisc1(A, B)) &  (v1_partfun1(k1_pzfmisc1(A, B), A) & v15_pencil_1(k1_pzfmisc1(A, B), A)) ) ) ) ) ) ).
fof(rc4_pencil_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v2_pralg_1(B) & v4_waybel_3(B)) ) ) ) ) )  =>  (? [C] :  (m3_pboole(C, A, k12_pralg_1(A, B)) &  (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v12_pencil_1(C) & v15_pencil_1(C, A)) ) ) ) ) ) ) ) ) ) ).
fof(rc5_pencil_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v2_pralg_1(B) & v13_pencil_1(B)) ) ) ) ) )  =>  (? [C] :  (m3_pboole(C, A, k12_pralg_1(A, B)) &  (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  ( ~ (v12_pencil_1(C))  & v15_pencil_1(C, A)) ) ) ) ) ) ) ) ) ) ).
fof(rc6_pencil_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  ( ~ (v12_pencil_1(B))  & v15_pencil_1(B, A)) ) ) ) ) ) ) ) ).
fof(cc5_pencil_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  ( ~ (v12_pencil_1(B))  & v15_pencil_1(B, A)) ) ) ) )  =>  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) ) ) ) ) ) ).
fof(fc4_pencil_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  ( ~ (v12_pencil_1(B))  & v15_pencil_1(B, A)) ) ) ) ) )  =>  ~ (v1_zfmisc_1(k4_card_3(B))) ) ) ).
fof(fc5_pencil_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v14_pencil_1(B)) ) ) ) )  =>  ( ~ (v2_struct_0(k5_pencil_1(A, B)))  &  ( ~ (v3_pencil_1(k5_pencil_1(A, B)))  &  ( ~ (v4_pencil_1(k5_pencil_1(A, B)))  &  (v5_pencil_1(k5_pencil_1(A, B)) & v6_pencil_1(k5_pencil_1(A, B))) ) ) ) ) ) ).
fof(t1_pencil_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (k4_card_3(A)=k4_card_3(B) & v2_relat_1(A))  => v2_relat_1(B)) ) ) ) ) ).
fof(t2_pencil_1, axiom,  (! [A] :  (r1_ordinal1(2, k1_card_1(A)) <=>  (? [B] :  (? [C] :  (r2_hidden(B, A) &  (r2_hidden(C, A) &  ~ (B=C) ) ) ) ) ) ) ).
fof(t3_pencil_1, axiom,  (! [A] :  (r1_ordinal1(2, k1_card_1(A)) =>  (! [B] :  (? [C] :  (r2_hidden(C, A) &  ~ (B=C) ) ) ) ) ) ).
fof(t4_pencil_1, axiom,  (! [A] :  (r1_ordinal1(2, k1_card_1(A)) <=>  ~ (v1_zfmisc_1(A)) ) ) ).
fof(t5_pencil_1, axiom,  (! [A] :  (r1_ordinal1(3, k1_card_1(A)) <=>  (? [B] :  (? [C] :  (? [D] :  (r2_hidden(B, A) &  (r2_hidden(C, A) &  (r2_hidden(D, A) &  ( ~ (B=C)  &  ( ~ (B=D)  &  ~ (C=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_pencil_1, axiom,  (! [A] :  (r1_ordinal1(3, k1_card_1(A)) =>  (! [B] :  (! [C] :  (? [D] :  (r2_hidden(D, A) &  ( ~ (B=D)  &  ~ (C=D) ) ) ) ) ) ) ) ).
fof(d1_pencil_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_pencil_1(A, B, C) <=>  ~ ( ( ~ (B=C)  &  (! [D] :  (m1_subset_1(D, u1_pre_topc(A)) =>  ~ (r1_tarski(k2_tarski(B, C), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_pencil_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_pencil_1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_pre_topc(A)) =>  (r1_ordinal1(2, k1_card_1(k9_subset_1(u1_struct_0(A), C, B))) => r1_tarski(C, B)) ) ) ) ) ) ) ) ).
fof(d3_pencil_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_pencil_1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r1_pencil_1(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(d4_pencil_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v3_pencil_1(A) <=> v1_xboole_0(u1_pre_topc(A))) ) ) ).
fof(d5_pencil_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v4_pencil_1(A) <=> m1_subset_1(u1_struct_0(A), u1_pre_topc(A))) ) ) ).
fof(d6_pencil_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v5_pencil_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_pre_topc(A)) => r1_ordinal1(2, k1_card_1(B))) ) ) ) ) ).
fof(d7_pencil_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v6_pencil_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_pre_topc(A)) =>  (! [C] :  (m1_subset_1(C, u1_pre_topc(A)) =>  (r1_ordinal1(2, k1_card_1(k3_xboole_0(B, C))) => B=C) ) ) ) ) ) ) ) ).
fof(d8_pencil_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v7_pencil_1(A) <=>  ~ ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_pencil_1(A, B, C)) ) ) ) ) ) ) ) ).
fof(d9_pencil_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v8_pencil_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  (m1_subset_1(C, u1_pre_topc(A)) & r2_tarski(B, C)) ) ) ) ) ) ) ).
fof(d10_pencil_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v9_pencil_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m2_finseq_1(D, u1_struct_0(A)) &  (B=k1_funct_1(D, 1) &  (C=k1_funct_1(D, k3_finseq_1(D)) &  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(1, E) =>  (r1_xxreal_0(k3_finseq_1(D), E) |  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (F=k1_funct_1(D, E) & G=k1_funct_1(D, k1_nat_1(E, 1)))  => r1_pencil_1(A, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_pencil_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v10_pencil_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v1_pencil_1(C, A) &  (v2_pencil_1(C, A) &  (! [D] :  (m2_finseq_1(D, k9_setfam_1(u1_struct_0(A))) =>  ~ ( (C=k1_funct_1(D, 1) &  (r2_tarski(B, k1_funct_1(D, k3_finseq_1(D))) &  ( (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(E, k10_xtuple_0(D)) =>  (v1_pencil_1(E, A) & v2_pencil_1(E, A)) ) ) )  &  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(1, E) =>  (r1_xxreal_0(k3_finseq_1(D), E) | r1_ordinal1(2, k1_card_1(k3_xboole_0(k1_funct_1(D, E), k1_funct_1(D, k1_nat_1(E, 1)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_pencil_1, axiom,  (! [A] :  ( (v8_pencil_1(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_pencil_1(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_pre_topc(A)) & r1_tarski(k2_tarski(B, C), D)) ) ) ) ) ) ) ) ) ).
fof(d14_pencil_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v11_pencil_1(A) <=>  (! [B] :  (l1_pre_topc(B) =>  ~ ( (r2_tarski(B, k10_xtuple_0(A)) & v3_pencil_1(B)) ) ) ) ) ) ) ).
fof(d15_pencil_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_waybel18(A)) )  =>  (v11_pencil_1(A) <=>  (! [B] :  (r2_tarski(B, k10_xtuple_0(A)) =>  ( ~ (v3_pencil_1(B))  & l1_pre_topc(B)) ) ) ) ) ) ).
fof(d16_pencil_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v12_pencil_1(A) <=>  (! [B] :  (r2_tarski(B, k10_xtuple_0(A)) => v1_zfmisc_1(B)) ) ) ) ) ).
fof(d17_pencil_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v13_pencil_1(A) <=>  (! [B] :  (l1_struct_0(B) =>  ~ ( (r2_tarski(B, k10_xtuple_0(A)) & v7_struct_0(B)) ) ) ) ) ) ) ).
fof(d18_pencil_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_pralg_1(A)) )  =>  (v13_pencil_1(A) <=>  (! [B] :  (r2_tarski(B, k10_xtuple_0(A)) =>  ( ~ (v7_struct_0(B))  & l1_struct_0(B)) ) ) ) ) ) ).
fof(d19_pencil_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v14_pencil_1(A) <=>  (! [B] :  (r2_tarski(B, k10_xtuple_0(A)) =>  ( ~ (v2_struct_0(B))  &  ( ~ (v3_pencil_1(B))  &  ( ~ (v4_pencil_1(B))  &  (v5_pencil_1(B) &  (v6_pencil_1(B) & l1_pre_topc(B)) ) ) ) ) ) ) ) ) ) ).
fof(d20_pencil_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v15_pencil_1(B, A) <=>  (? [C] :  (m1_subset_1(C, A) &  (! [D] :  (m1_subset_1(D, A) =>  ( ~ (C=D)  => v3_card_1(k1_funct_1(B, D), 1)) ) ) ) ) ) ) ) ) ).
fof(t9_pencil_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( ~ (v1_zfmisc_1(D))  =>  ~ (v12_pencil_1(k1_funct_7(B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t10_pencil_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (! [D] : v15_pencil_1(k1_funct_7(k1_pzfmisc1(A, B), C, D), A)) ) ) ) ) ) ).
fof(t11_pencil_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v2_pralg_1(B) & v4_waybel_3(B)) ) ) ) )  =>  (! [C] :  (m1_pboole(C, A, k12_pralg_1(A, B)) => m3_pboole(k1_pzfmisc1(A, C), A, k12_pralg_1(A, B))) ) ) ) ) ) ).
fof(d21_pencil_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  ( ~ (v12_pencil_1(B))  & v15_pencil_1(B, A)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (C=k3_pencil_1(A, B) <=>  ~ (v1_zfmisc_1(k1_funct_1(B, C))) ) ) ) ) ) ) ) ).
fof(t12_pencil_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  ( ~ (v12_pencil_1(B))  & v15_pencil_1(B, A)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, A) =>  ( ~ (C=k3_pencil_1(A, B))  => v3_card_1(k1_funct_1(B, C), 1)) ) ) ) ) ) ) ).
fof(t13_pencil_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (r1_ordinal1(2, k1_card_1(k4_card_3(B))) <=>  (v2_relat_1(B) &  ~ (v12_pencil_1(B)) ) ) ) ) ) ) ).
fof(d22_pencil_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_waybel_3(B) & v1_waybel18(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k4_card_3(k12_pralg_1(A, B))))) =>  (C=k4_pencil_1(A, B) <=>  (! [D] :  (r2_tarski(D, C) <=>  (? [E] :  ( (v15_pencil_1(E, A) & m3_pboole(E, A, k12_pralg_1(A, B)))  &  (D=k4_card_3(E) &  (? [F] :  (m1_subset_1(F, A) & m1_subset_1(k1_funct_1(E, F), u1_pre_topc(k1_pencil_1(A, B, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d23_pencil_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_waybel_3(B) & v1_waybel18(B)) ) ) ) )  => k5_pencil_1(A, B)=g1_pre_topc(k4_card_3(k12_pralg_1(A, B)), k4_pencil_1(A, B))) ) ) ) ).
fof(t14_pencil_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_waybel_3(B) & v1_waybel18(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_pencil_1(A, B))) =>  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) ) ) ) ) ) ) ).
fof(t15_pencil_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_waybel_3(B) & v1_waybel18(B)) ) ) ) )  =>  ~ ( ( ~ ( (! [C] :  (m1_subset_1(C, A) => v3_pencil_1(k1_pencil_1(A, B, C))) ) )  & v3_pencil_1(k5_pencil_1(A, B))) ) ) ) ) ) ).
fof(t16_pencil_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_waybel_3(B) & v1_waybel18(B)) ) ) ) )  =>  ~ ( ( (! [C] :  (m1_subset_1(C, A) =>  ( ~ (v4_pencil_1(k1_pencil_1(A, B, C)))  &  ~ ( (! [D] :  (m1_subset_1(D, A) => v3_pencil_1(k1_pencil_1(A, B, D))) ) ) ) ) )  & v4_pencil_1(k5_pencil_1(A, B))) ) ) ) ) ) ).
fof(t17_pencil_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_waybel_3(B) & v1_waybel18(B)) ) ) ) )  =>  ( (! [C] :  (m1_subset_1(C, A) =>  (v5_pencil_1(k1_pencil_1(A, B, C)) &  ~ ( (! [D] :  (m1_subset_1(D, A) => v3_pencil_1(k1_pencil_1(A, B, D))) ) ) ) ) )  => v5_pencil_1(k5_pencil_1(A, B))) ) ) ) ) ).
fof(t18_pencil_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_waybel_3(B) & v1_waybel18(B)) ) ) ) )  =>  ( (! [C] :  (m1_subset_1(C, A) =>  (v6_pencil_1(k1_pencil_1(A, B, C)) &  (v5_pencil_1(k1_pencil_1(A, B, C)) &  ~ ( (! [D] :  (m1_subset_1(D, A) => v3_pencil_1(k1_pencil_1(A, B, D))) ) ) ) ) ) )  => v6_pencil_1(k5_pencil_1(A, B))) ) ) ) ) ).
fof(t19_pencil_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_zfmisc_1(B) =>  (v2_pencil_1(B, A) & v1_pencil_1(B, A)) ) ) ) ) ) ).
fof(t20_pencil_1, axiom,  (! [A] :  ( (v6_pencil_1(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, u1_pre_topc(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (C=B => v1_pencil_1(C, A)) ) ) ) ) ) ) ).
fof(t21_pencil_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, u1_pre_topc(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (C=B => v2_pencil_1(C, A)) ) ) ) ) ) ) ).
fof(t22_pencil_1, axiom,  (! [A] :  ( ( ~ (v3_pencil_1(A))  & l1_pre_topc(A))  => v1_pencil_1(k2_struct_0(A), A)) ) ).
fof(t23_pencil_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  ( ~ (v12_pencil_1(B))  & v15_pencil_1(B, A)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ( (r2_tarski(C, k4_card_3(B)) & r2_tarski(D, k4_card_3(B)))  =>  (! [E] :  ( ~ (E=k3_pencil_1(A, B))  => k1_funct_1(C, E)=k1_funct_1(D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_pencil_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v14_pencil_1(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_pre_topc(k5_pencil_1(A, B))) <=>  (? [D] :  ( ( ~ (v12_pencil_1(D))  &  (v15_pencil_1(D, A) & m3_pboole(D, A, k12_pralg_1(A, B))) )  &  (C=k4_card_3(D) & m1_subset_1(k1_funct_1(D, k3_pencil_1(A, D)), u1_pre_topc(k2_pencil_1(A, B, k3_pencil_1(A, D))))) ) ) ) ) ) ) ) ) ).
fof(t25_pencil_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v14_pencil_1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (m1_subset_1(C, u1_struct_0(k5_pencil_1(A, B))) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_pencil_1(A, B, D))) => m1_subset_1(k1_funct_7(C, D, E), u1_struct_0(k5_pencil_1(A, B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_pencil_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  ( ~ (v12_pencil_1(B))  & v15_pencil_1(B, A)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  ( ~ (v12_pencil_1(C))  & v15_pencil_1(C, A)) ) ) ) )  =>  (r1_ordinal1(2, k1_card_1(k3_xboole_0(k4_card_3(B), k4_card_3(C)))) =>  (k3_pencil_1(A, B)=k3_pencil_1(A, C) &  (! [D] :  ( ~ (D=k3_pencil_1(A, B))  => k1_funct_1(B, D)=k1_funct_1(C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t27_pencil_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  ( ~ (v12_pencil_1(B))  & v15_pencil_1(B, A)) ) ) ) )  =>  (! [C] :  ( ~ (v1_zfmisc_1(C))  =>  (v15_pencil_1(k1_funct_7(B, k3_pencil_1(A, B), C), A) &  ~ (v12_pencil_1(k1_funct_7(B, k3_pencil_1(A, B), C))) ) ) ) ) ) ) ) ).
fof(t28_pencil_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v6_pencil_1(A) &  (v8_pencil_1(A) & l1_pre_topc(A)) ) ) )  =>  (v10_pencil_1(A) => v9_pencil_1(A)) ) ) ).
fof(t29_pencil_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v14_pencil_1(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k5_pencil_1(A, B)))) =>  ( ( ~ (v1_zfmisc_1(C))  &  (v2_pencil_1(C, k5_pencil_1(A, B)) & v1_pencil_1(C, k5_pencil_1(A, B))) )  <=>  (? [D] :  ( ( ~ (v12_pencil_1(D))  &  (v15_pencil_1(D, A) & m3_pboole(D, A, k12_pralg_1(A, B))) )  &  (C=k4_card_3(D) &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k2_pencil_1(A, B, k3_pencil_1(A, D))))) =>  (E=k1_funct_1(D, k3_pencil_1(A, D)) =>  (v2_pencil_1(E, k2_pencil_1(A, B, k3_pencil_1(A, D))) & v1_pencil_1(E, k2_pencil_1(A, B, k3_pencil_1(A, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_pencil_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_waybel18(B)) ) ) )  & m1_subset_1(C, A)) )  => l1_pre_topc(k1_pencil_1(A, B, C))) ) ).
fof(redefinition_k1_pencil_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_waybel18(B)) ) ) )  & m1_subset_1(C, A)) )  => k1_pencil_1(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k2_pencil_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v14_pencil_1(B)) ) ) )  & m1_subset_1(C, A)) )  =>  ( ~ (v2_struct_0(k2_pencil_1(A, B, C)))  &  ( ~ (v3_pencil_1(k2_pencil_1(A, B, C)))  &  ( ~ (v4_pencil_1(k2_pencil_1(A, B, C)))  &  (v5_pencil_1(k2_pencil_1(A, B, C)) &  (v6_pencil_1(k2_pencil_1(A, B, C)) & l1_pre_topc(k2_pencil_1(A, B, C))) ) ) ) ) ) ) ).
fof(redefinition_k2_pencil_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v14_pencil_1(B)) ) ) )  & m1_subset_1(C, A)) )  => k2_pencil_1(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k3_pencil_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  ( ~ (v12_pencil_1(B))  & v15_pencil_1(B, A)) ) ) ) ) )  => m1_subset_1(k3_pencil_1(A, B), A)) ) ).
fof(dt_k4_pencil_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_waybel_3(B) & v1_waybel18(B)) ) ) ) ) )  => m1_subset_1(k4_pencil_1(A, B), k1_zfmisc_1(k1_zfmisc_1(k4_card_3(k12_pralg_1(A, B)))))) ) ).
fof(dt_k5_pencil_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_waybel_3(B) & v1_waybel18(B)) ) ) ) ) )  =>  ( ~ (v2_struct_0(k5_pencil_1(A, B)))  & l1_pre_topc(k5_pencil_1(A, B))) ) ) ).
fof(t7_pencil_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (r1_ordinal1(3, k1_card_1(A)) =>  (! [B] :  (l1_pre_topc(B) =>  ( (u1_struct_0(B)=A & u1_pre_topc(B)=a_1_0_pencil_1(A))  =>  ( ~ (v2_struct_0(B))  &  ( ~ (v3_pencil_1(B))  &  ( ~ (v4_pencil_1(B))  &  ( ~ (v7_pencil_1(B))  &  (v5_pencil_1(B) &  (v6_pencil_1(B) & v8_pencil_1(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_pencil_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (r1_ordinal1(3, k1_card_1(A)) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (k1_card_1(B)=2 =>  (! [C] :  (l1_pre_topc(C) =>  ( (u1_struct_0(C)=A & u1_pre_topc(C)=k6_subset_1(a_1_0_pencil_1(A), k6_domain_1(k1_zfmisc_1(A), B)))  =>  ( ~ (v2_struct_0(C))  &  ( ~ (v3_pencil_1(C))  &  ( ~ (v4_pencil_1(C))  &  (v7_pencil_1(C) &  (v5_pencil_1(C) &  (v6_pencil_1(C) & v8_pencil_1(C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_pencil_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (r2_hidden(A, a_1_0_pencil_1(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) &  (A=C & 2=k1_card_1(C)) ) ) ) ) ) ).
fof(rc1_pencil_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, u1_struct_0(A)) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & v1_pencil_2(B, A, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_pencil_2, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k1_pencil_2(A, B, C, D)=k8_finseq_1(A, k17_finseq_1(A, k7_nat_d(C, 1), B), k2_rfinseq(A, D, B))) ) ) ) ) ) ) ).
fof(t1_pencil_2, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => r1_tarski(k2_relset_1(A, k1_pencil_2(A, B, C, D)), k2_relset_1(A, B))) ) ) ) ) ) ) ).
fof(t2_pencil_2, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (r2_tarski(C, k4_finseq_1(B)) & r2_tarski(D, k4_finseq_1(B)))  => k3_finseq_1(k1_pencil_2(A, B, C, D))=k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(B), D), C), 1)) ) ) ) ) ) ) ) ).
fof(t3_pencil_2, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (r2_tarski(C, k4_finseq_1(B)) &  (r2_tarski(D, k4_finseq_1(B)) & k3_finseq_1(k1_pencil_2(A, B, C, D))=k5_numbers) )  =>  (C=1 & D=k3_finseq_1(B)) ) ) ) ) ) ) ) ) ).
fof(t4_pencil_2, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( (r2_tarski(C, k4_finseq_1(B)) &  (r1_xxreal_0(1, E) & r1_xxreal_0(E, k6_xcmplx_0(C, 1))) )  => k1_funct_1(k1_pencil_2(A, B, C, D), E)=k1_funct_1(B, E)) ) ) ) ) ) ) ) ) ) ).
fof(t5_pencil_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r1_xxreal_0(k1_nat_1(k3_finseq_1(A), 1), C) => k1_funct_1(k7_finseq_1(A, B), C)=k1_funct_1(B, k6_xcmplx_0(C, k3_finseq_1(A)))) ) ) ) ) ) ) ).
fof(t6_pencil_2, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( (r2_tarski(C, k4_finseq_1(B)) &  (r2_tarski(D, k4_finseq_1(B)) &  (r1_xxreal_0(C, D) &  (r1_xxreal_0(C, E) & r1_xxreal_0(E, k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(B), D), C), 1))) ) ) )  => k1_funct_1(k1_pencil_2(A, B, C, D), E)=k1_funct_1(B, k1_nat_1(k1_nat_1(k7_nat_d(D, C), E), 1))) ) ) ) ) ) ) ) ) ) ).
fof(t7_pencil_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v2_pralg_1(B)) ) ) )  =>  (! [C] :  (m3_pboole(C, A, k12_pralg_1(A, B)) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k10_pralg_1(A, B, D)))) => m3_pboole(k1_funct_7(C, D, E), A, k12_pralg_1(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(d2_pencil_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_waybel18(B) & v13_pencil_1(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k5_pencil_1(A, B)))) =>  (m1_pencil_2(C, A, B) <=>  (? [D] :  ( ( ~ (v12_pencil_1(D))  &  (v15_pencil_1(D, A) & m3_pboole(D, A, k12_pralg_1(A, B))) )  &  (C=k4_card_3(D) & k1_funct_1(D, k3_pencil_1(A, D))=k2_struct_0(k1_pencil_1(A, B, k3_pencil_1(A, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t8_pencil_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_waybel18(B) & v13_pencil_1(B)) ) ) ) )  =>  (! [C] :  (m1_pencil_2(C, A, B) =>  (! [D] :  (m1_pencil_2(D, A, B) =>  (r1_tarski(2, k1_card_1(k9_subset_1(u1_struct_0(k5_pencil_1(A, B)), C, D))) => C=D) ) ) ) ) ) ) ) ) ).
fof(d3_pencil_2, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_pencil_2(A, B, C) <=>  (? [D] :  (m2_finseq_1(D, k1_zfmisc_1(u1_struct_0(A))) &  (B=k1_funct_1(D, 1) &  (C=k1_funct_1(D, k3_finseq_1(D)) &  ( (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(E, k2_relset_1(k1_zfmisc_1(u1_struct_0(A)), D)) =>  (v1_pencil_1(E, A) & v2_pencil_1(E, A)) ) ) )  &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r1_xxreal_0(1, E) =>  (r1_xxreal_0(k3_finseq_1(D), E) | r1_tarski(2, k1_card_1(k3_xboole_0(k1_funct_1(D, E), k1_funct_1(D, k1_nat_1(E, 1)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_pencil_2, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r1_pencil_2(A, B, C) &  (! [D] :  ( (v2_funct_1(D) & m2_finseq_1(D, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( (B=k1_funct_1(D, 1) &  (C=k1_funct_1(D, k3_finseq_1(D)) &  ( (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(E, k2_relset_1(k1_zfmisc_1(u1_struct_0(A)), D)) =>  (v1_pencil_1(E, A) & v2_pencil_1(E, A)) ) ) )  &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r1_xxreal_0(1, E) =>  (r1_xxreal_0(k3_finseq_1(D), E) | r1_tarski(2, k1_card_1(k3_xboole_0(k1_funct_1(D, E), k1_funct_1(D, k1_nat_1(E, 1)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_pencil_2, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_pencil_1(B, A) & v2_pencil_1(B, A))  => r1_pencil_2(A, B, B)) ) ) ) ) ).
fof(t11_pencil_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v14_pencil_1(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k5_pencil_1(A, B)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k5_pencil_1(A, B)))) =>  ( (v1_pencil_1(C, k5_pencil_1(A, B)) &  (v2_pencil_1(C, k5_pencil_1(A, B)) &  (v1_pencil_1(D, k5_pencil_1(A, B)) &  (v2_pencil_1(D, k5_pencil_1(A, B)) & r1_pencil_2(k5_pencil_1(A, B), C, D)) ) ) )  =>  (v1_zfmisc_1(C) |  (v1_zfmisc_1(D) |  (! [E] :  ( ( ~ (v12_pencil_1(E))  &  (v15_pencil_1(E, A) & m3_pboole(E, A, k12_pralg_1(A, B))) )  =>  (! [F] :  ( ( ~ (v12_pencil_1(F))  &  (v15_pencil_1(F, A) & m3_pboole(F, A, k12_pralg_1(A, B))) )  =>  ( (C=k4_card_3(E) & D=k4_card_3(F))  =>  (k3_pencil_1(A, E)=k3_pencil_1(A, F) &  (! [G] :  ( ~ (G=k3_pencil_1(A, E))  => k1_funct_1(E, G)=k1_funct_1(F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_pencil_2, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v3_funct_2(C, u1_struct_0(A), u1_struct_0(B)) => v3_funct_2(k2_tops_2(u1_struct_0(A), u1_struct_0(B), C), u1_struct_0(B), u1_struct_0(A))) ) ) ) ) ) ) ).
fof(d4_pencil_2, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (l1_pre_topc(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v1_pencil_2(C, A, B) <=>  (v3_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_t_0topsp(C, A, B) &  (v3_funct_2(k2_tops_2(u1_struct_0(A), u1_struct_0(B), C), u1_struct_0(B), u1_struct_0(A)) & v1_t_0topsp(k2_tops_2(u1_struct_0(A), u1_struct_0(B), C), B, A)) ) ) ) ) ) ) ) ) ) ).
fof(t13_pencil_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v1_pencil_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (v1_funct_1(k2_tops_2(u1_struct_0(A), u1_struct_0(A), B)) &  (v1_funct_2(k2_tops_2(u1_struct_0(A), u1_struct_0(A), B), u1_struct_0(A), u1_struct_0(A)) &  (v1_pencil_2(k2_tops_2(u1_struct_0(A), u1_struct_0(A), B), A, A) & m1_subset_1(k2_tops_2(u1_struct_0(A), u1_struct_0(A), B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ) ) ) ).
fof(t14_pencil_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v1_pencil_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( ~ (v1_zfmisc_1(C))  & v1_zfmisc_1(k7_relset_1(u1_struct_0(A), u1_struct_0(A), B, C))) ) ) ) ) ) ) ) ).
fof(t15_pencil_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v1_pencil_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( ~ (v1_zfmisc_1(C))  & v1_zfmisc_1(k8_relset_1(u1_struct_0(A), u1_struct_0(A), B, C))) ) ) ) ) ) ) ) ).
fof(t16_pencil_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v1_pencil_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_pencil_1(C, A) => v2_pencil_1(k7_relset_1(u1_struct_0(A), u1_struct_0(A), B, C), A)) ) ) ) ) ) ) ).
fof(t17_pencil_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v1_pencil_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_pencil_1(C, A) => v2_pencil_1(k8_relset_1(u1_struct_0(A), u1_struct_0(A), B, C), A)) ) ) ) ) ) ) ).
fof(t18_pencil_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v1_pencil_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_pencil_1(C, A) => v1_pencil_1(k7_relset_1(u1_struct_0(A), u1_struct_0(A), B, C), A)) ) ) ) ) ) ) ).
fof(t19_pencil_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v1_pencil_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_pencil_1(C, A) => v1_pencil_1(k8_relset_1(u1_struct_0(A), u1_struct_0(A), B, C), A)) ) ) ) ) ) ) ).
fof(t20_pencil_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v1_pencil_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_pencil_2(A, C, D) =>  (v1_zfmisc_1(C) |  (v1_zfmisc_1(D) | r1_pencil_2(A, k7_relset_1(u1_struct_0(A), u1_struct_0(A), B, C), k7_relset_1(u1_struct_0(A), u1_struct_0(A), B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_pencil_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v1_pencil_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_pencil_2(A, C, D) =>  (v1_zfmisc_1(C) |  (v1_zfmisc_1(D) | r1_pencil_2(A, k8_relset_1(u1_struct_0(A), u1_struct_0(A), B, C), k8_relset_1(u1_struct_0(A), u1_struct_0(A), B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_pencil_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v14_pencil_1(B)) ) ) )  =>  ( (! [C] :  (m1_subset_1(C, A) => v10_pencil_1(k2_pencil_1(A, B, C))) )  =>  (! [C] :  (m1_pencil_2(C, A, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k5_pencil_1(A, B)), u1_struct_0(k5_pencil_1(A, B))) &  (v1_pencil_2(D, k5_pencil_1(A, B), k5_pencil_1(A, B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_pencil_1(A, B)), u1_struct_0(k5_pencil_1(A, B)))))) ) )  => m1_pencil_2(k7_relset_1(u1_struct_0(k5_pencil_1(A, B)), u1_struct_0(k5_pencil_1(A, B)), D, C), A, B)) ) ) ) ) ) ) ) ) ).
fof(t25_pencil_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v14_pencil_1(B)) ) ) )  =>  ( (! [C] :  (m1_subset_1(C, A) => v10_pencil_1(k2_pencil_1(A, B, C))) )  =>  (! [C] :  (m1_pencil_2(C, A, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k5_pencil_1(A, B)), u1_struct_0(k5_pencil_1(A, B))) &  (v1_pencil_2(D, k5_pencil_1(A, B), k5_pencil_1(A, B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_pencil_1(A, B)), u1_struct_0(k5_pencil_1(A, B)))))) ) )  => m1_pencil_2(k8_relset_1(u1_struct_0(k5_pencil_1(A, B)), u1_struct_0(k5_pencil_1(A, B)), D, C), A, B)) ) ) ) ) ) ) ) ) ).
fof(s1_pencil_2, axiom,  ( ( (f1_s1_pencil_2=k1_funct_1(f4_s1_pencil_2, 1) & f2_s1_pencil_2=k1_funct_1(f4_s1_pencil_2, k3_finseq_1(f4_s1_pencil_2)))  &  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (! [C] :  ( (r1_xxreal_0(1, A) &  (B=k1_funct_1(f4_s1_pencil_2, A) & C=k1_funct_1(f4_s1_pencil_2, k1_nat_1(A, 1))) )  =>  (r1_xxreal_0(k3_finseq_1(f4_s1_pencil_2), A) | p1_s1_pencil_2(B, C)) ) ) ) ) ) )  =>  (? [A] :  ( (v2_funct_1(A) & m2_finseq_1(A, f3_s1_pencil_2))  &  (f1_s1_pencil_2=k1_funct_1(A, 1) &  (f2_s1_pencil_2=k1_funct_1(A, k3_finseq_1(A)) &  (r1_tarski(k2_relset_1(f3_s1_pencil_2, A), k2_relset_1(f3_s1_pencil_2, f4_s1_pencil_2)) &  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (r1_xxreal_0(1, B) =>  (r1_xxreal_0(k3_finseq_1(A), B) | p1_s1_pencil_2(k1_funct_1(A, B), k1_funct_1(A, k1_nat_1(B, 1)))) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_pencil_2, axiom,  (! [A, B, C, D] :  ( (m1_finseq_1(B, A) &  (v7_ordinal1(C) & v7_ordinal1(D)) )  => m2_finseq_1(k1_pencil_2(A, B, C, D), A)) ) ).
fof(dt_f4_s1_pencil_2, axiom, m2_finseq_1(f4_s1_pencil_2, f3_s1_pencil_2)).
fof(dt_m1_pencil_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_waybel18(B) & v13_pencil_1(B)) ) ) ) ) )  =>  (! [C] :  (m1_pencil_2(C, A, B) => m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k5_pencil_1(A, B))))) ) ) ) ).
fof(existence_m1_pencil_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_waybel18(B) & v13_pencil_1(B)) ) ) ) ) )  =>  (? [C] : m1_pencil_2(C, A, B)) ) ) ).
fof(dt_k2_pencil_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  & l1_pre_topc(A)) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v1_pencil_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  & m1_subset_1(C, u1_pre_topc(A))) )  => m1_subset_1(k2_pencil_2(A, B, C), u1_pre_topc(A))) ) ).
fof(redefinition_k2_pencil_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  & l1_pre_topc(A)) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v1_pencil_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  & m1_subset_1(C, u1_pre_topc(A))) )  => k2_pencil_2(A, B, C)=k7_relat_1(B, C)) ) ).
fof(dt_k3_pencil_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  & l1_pre_topc(A)) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v1_pencil_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  & m1_subset_1(C, u1_pre_topc(A))) )  => m1_subset_1(k3_pencil_2(A, B, C), u1_pre_topc(A))) ) ).
fof(redefinition_k3_pencil_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  & l1_pre_topc(A)) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v1_pencil_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  & m1_subset_1(C, u1_pre_topc(A))) )  => k3_pencil_2(A, B, C)=k8_relat_1(B, C)) ) ).
fof(t22_pencil_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v14_pencil_1(B)) ) ) )  =>  ( (! [C] :  (m1_subset_1(C, A) => v10_pencil_1(k2_pencil_1(A, B, C))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k5_pencil_1(A, B)))) =>  ( (v2_pencil_1(C, k5_pencil_1(A, B)) & v1_pencil_1(C, k5_pencil_1(A, B)))  =>  (v1_zfmisc_1(C) | m1_pencil_2(k3_tarski(a_3_0_pencil_2(A, B, C)), A, B)) ) ) ) ) ) ) ) ) ).
fof(t23_pencil_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v14_pencil_1(B)) ) ) )  =>  ( (! [C] :  (m1_subset_1(C, A) => v10_pencil_1(k2_pencil_1(A, B, C))) )  =>  (! [C] :  (m1_pencil_2(C, A, B) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k5_pencil_1(A, B)))) &  ( ~ (v1_zfmisc_1(D))  &  (v2_pencil_1(D, k5_pencil_1(A, B)) &  (v1_pencil_1(D, k5_pencil_1(A, B)) & C=k3_tarski(a_3_0_pencil_2(A, B, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_pencil_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v1_funct_1(C) &  (v1_partfun1(C, B) & v14_pencil_1(C)) ) ) )  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k5_pencil_1(B, C))))) )  =>  (r2_hidden(A, a_3_0_pencil_2(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k5_pencil_1(B, C)))) &  (A=E &  ( ~ (v1_zfmisc_1(E))  &  (v2_pencil_1(E, k5_pencil_1(B, C)) &  (v1_pencil_1(E, k5_pencil_1(B, C)) & r1_pencil_2(k5_pencil_1(B, C), D, E)) ) ) ) ) ) ) ) ) ).
fof(t1_pencil_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v1_pencil_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_pencil_1(A, C, D) => r1_pencil_1(A, k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, C), k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, D))) ) ) ) ) ) ) ) ) ).
fof(t2_pencil_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v2_pralg_1(C) & v13_pencil_1(C)) ) ) ) )  =>  ~ (v7_struct_0(k10_pralg_1(A, C, B))) ) ) ) ) ) ) ).
fof(t3_pencil_3, axiom,  (! [A] :  ( ( ~ (v3_pencil_1(A))  &  (v6_pencil_1(A) & l1_pre_topc(A)) )  =>  (v10_pencil_1(A) => v8_pencil_1(A)) ) ) ).
fof(t4_pencil_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v6_pencil_1(A) & l1_pre_topc(A)) ) )  =>  (v10_pencil_1(A) => v9_pencil_1(A)) ) ) ).
fof(t5_pencil_3, axiom,  (! [A] :  ( ( ~ (v3_pencil_1(A))  &  ( ~ (v4_pencil_1(A))  & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_pre_topc(A)) =>  ~ ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_tarski(C, B)) ) ) ) ) ) ) ).
fof(t6_pencil_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_waybel_3(B) & v1_waybel18(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_pencil_1(A, B))) => m1_pboole(C, A, k12_pralg_1(A, B))) ) ) ) ) ) ).
fof(t7_pencil_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v2_pralg_1(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, A) => k1_funct_1(k12_pralg_1(A, B), C)=k2_struct_0(k10_pralg_1(A, B, C))) ) ) ) ) ) ).
fof(t8_pencil_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v1_waybel18(C) & v13_pencil_1(C)) ) ) ) )  =>  (? [D] :  ( ( ~ (v12_pencil_1(D))  &  (v15_pencil_1(D, A) & m3_pboole(D, A, k12_pralg_1(A, C))) )  &  (k3_pencil_1(A, D)=B & m1_pencil_2(k4_card_3(D), A, C)) ) ) ) ) ) ) ) ) ).
fof(t9_pencil_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v1_waybel18(C) & v13_pencil_1(C)) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_pencil_1(A, C))) =>  (? [E] :  ( ( ~ (v12_pencil_1(E))  &  (v15_pencil_1(E, A) & m3_pboole(E, A, k12_pralg_1(A, C))) )  &  (k3_pencil_1(A, E)=B &  (m1_pencil_2(k4_card_3(E), A, C) & r2_tarski(D, k4_card_3(E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_pencil_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_waybel18(B) & v13_pencil_1(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v12_pencil_1(C))  &  (v15_pencil_1(C, A) & m3_pboole(C, A, k12_pralg_1(A, B))) )  =>  (m1_pencil_2(k4_card_3(C), A, B) => k1_funct_1(C, k3_pencil_1(A, C))=k2_struct_0(k1_pencil_1(A, B, k3_pencil_1(A, C)))) ) ) ) ) ) ) ).
fof(t11_pencil_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_waybel18(B) & v13_pencil_1(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v12_pencil_1(C))  &  (v15_pencil_1(C, A) & m3_pboole(C, A, k12_pralg_1(A, B))) )  =>  (! [D] :  ( ( ~ (v12_pencil_1(D))  &  (v15_pencil_1(D, A) & m3_pboole(D, A, k12_pralg_1(A, B))) )  =>  ( (m1_pencil_2(k4_card_3(C), A, B) &  (m1_pencil_2(k4_card_3(D), A, B) & k3_pencil_1(A, C)=k3_pencil_1(A, D)) )  =>  (r2_subset_1(k4_card_3(C), k4_card_3(D)) | r8_pboole(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t12_pencil_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v14_pencil_1(B)) ) ) )  =>  (! [C] :  ( ( ~ (v12_pencil_1(C))  &  (v15_pencil_1(C, A) & m3_pboole(C, A, k12_pralg_1(A, B))) )  =>  (! [D] :  (m1_subset_1(D, u1_pre_topc(k2_pencil_1(A, B, k3_pencil_1(A, C)))) => m1_subset_1(k4_card_3(k1_funct_7(C, k3_pencil_1(A, C), D)), u1_pre_topc(k5_pencil_1(A, B)))) ) ) ) ) ) ) ) ).
fof(t13_pencil_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v14_pencil_1(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_pencil_1(A, B, C))) =>  (! [E] :  ( ( ~ (v12_pencil_1(E))  &  (v15_pencil_1(E, A) & m3_pboole(E, A, k12_pralg_1(A, B))) )  =>  ( ~ (C=k3_pencil_1(A, E))  =>  ( ~ (v12_pencil_1(k1_funct_7(E, C, k6_domain_1(u1_struct_0(k2_pencil_1(A, B, C)), D))))  &  (v15_pencil_1(k1_funct_7(E, C, k6_domain_1(u1_struct_0(k2_pencil_1(A, B, C)), D)), A) & m3_pboole(k1_funct_7(E, C, k6_domain_1(u1_struct_0(k2_pencil_1(A, B, C)), D)), A, k12_pralg_1(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_pencil_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v14_pencil_1(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k2_pencil_1(A, B, C)))) =>  (! [E] :  ( ( ~ (v12_pencil_1(E))  &  (v15_pencil_1(E, A) & m3_pboole(E, A, k12_pralg_1(A, B))) )  => m1_subset_1(k4_card_3(k1_funct_7(E, C, D)), k1_zfmisc_1(u1_struct_0(k5_pencil_1(A, B))))) ) ) ) ) ) ) ) ) ) ).
fof(t15_pencil_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, A) => v3_card_1(k1_funct_1(k1_pzfmisc1(A, B), C), 1)) ) ) ) ) ) ).
fof(t16_pencil_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v14_pencil_1(C)) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_pre_topc(k2_pencil_1(A, C, B))) =>  (! [E] :  (m1_pboole(E, A, k12_pralg_1(A, C)) => m1_subset_1(k4_card_3(k1_funct_7(k1_pzfmisc1(A, E), B, D)), u1_pre_topc(k5_pencil_1(A, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t17_pencil_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v14_pencil_1(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_pencil_1(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_pencil_1(A, B))) =>  ( ~ (C=D)  =>  (r1_pencil_1(k5_pencil_1(A, B), C, D) <=>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) & v1_partfun1(F, A)) ) )  =>  ~ ( (E=C &  (F=D &  (! [G] :  (m1_subset_1(G, A) =>  ~ ( ( (! [H] :  (m1_subset_1(H, u1_struct_0(k2_pencil_1(A, B, G))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k2_pencil_1(A, B, G))) =>  ( (H=k1_funct_1(E, G) & I=k1_funct_1(F, G))  =>  ( ~ (H=I)  & r1_pencil_1(k2_pencil_1(A, B, G), H, I)) ) ) ) ) )  &  (! [H] :  (m1_subset_1(H, A) =>  ( ~ (H=G)  => k1_funct_1(E, H)=k1_funct_1(F, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_pencil_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v14_pencil_1(B)) ) ) )  =>  (! [C] :  ( ( ~ (v12_pencil_1(C))  &  (v15_pencil_1(C, A) & m3_pboole(C, A, k12_pralg_1(A, B))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_pencil_1(A, B, k3_pencil_1(A, C)))) =>  (? [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) )  &  (r2_tarski(E, k4_card_3(C)) & k1_tarski(k1_funct_7(E, k3_pencil_1(A, C), D))=k4_card_3(k1_funct_7(C, k3_pencil_1(A, C), k6_domain_1(u1_struct_0(k2_pencil_1(A, B, k3_pencil_1(A, C))), D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_pencil_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  (m1_subset_1(D, A) =>  ( ~ (k1_funct_1(B, D)=k1_funct_1(C, D))  => k1_pencil_3(A, B, C)=k1_nat_1(k1_pencil_3(A, B, k1_funct_7(C, D, k1_funct_1(B, D))), 1)) ) ) ) ) ) ) ) ) ).
fof(d2_pencil_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v14_pencil_1(B)) ) ) )  =>  (! [C] :  (m1_pencil_2(C, A, B) =>  (! [D] :  (m1_pencil_2(D, A, B) =>  (r1_pencil_3(A, B, C, D) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_pencil_1(A, B))) =>  ~ ( (r2_tarski(E, C) &  (! [F] :  (m1_subset_1(F, u1_struct_0(k5_pencil_1(A, B))) =>  ~ ( (r2_tarski(F, D) & r1_pencil_1(k5_pencil_1(A, B), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_pencil_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v14_pencil_1(B)) ) ) )  =>  (! [C] :  (m1_pencil_2(C, A, B) =>  (! [D] :  (m1_pencil_2(D, A, B) =>  (r1_pencil_3(A, B, C, D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k5_pencil_1(A, B)), u1_struct_0(k5_pencil_1(A, B))) &  (v1_pencil_2(E, k5_pencil_1(A, B), k5_pencil_1(A, B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_pencil_1(A, B)), u1_struct_0(k5_pencil_1(A, B)))))) ) )  =>  (! [F] :  (m1_pencil_2(F, A, B) =>  (! [G] :  (m1_pencil_2(G, A, B) =>  ( (F=k7_relset_1(u1_struct_0(k5_pencil_1(A, B)), u1_struct_0(k5_pencil_1(A, B)), E, C) & G=k7_relset_1(u1_struct_0(k5_pencil_1(A, B)), u1_struct_0(k5_pencil_1(A, B)), E, D))  => r1_pencil_3(A, B, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_pencil_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v14_pencil_1(B)) ) ) )  =>  (! [C] :  (m1_pencil_2(C, A, B) =>  (! [D] :  (m1_pencil_2(D, A, B) =>  (r1_xboole_0(C, D) =>  (r1_pencil_3(A, B, C, D) <=>  (! [E] :  ( ( ~ (v12_pencil_1(E))  &  (v15_pencil_1(E, A) & m3_pboole(E, A, k12_pralg_1(A, B))) )  =>  (! [F] :  ( ( ~ (v12_pencil_1(F))  &  (v15_pencil_1(F, A) & m3_pboole(F, A, k12_pralg_1(A, B))) )  =>  ( (C=k4_card_3(E) & D=k4_card_3(F))  =>  (k3_pencil_1(A, E)=k3_pencil_1(A, F) &  (? [G] :  (m1_subset_1(G, A) &  ( ~ (G=k3_pencil_1(A, E))  &  ( (! [H] :  (m1_subset_1(H, A) =>  ( ~ (H=G)  => k1_funct_1(E, H)=k1_funct_1(F, H)) ) )  &  (! [H] :  (m1_subset_1(H, u1_struct_0(k2_pencil_1(A, B, G))) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(k2_pencil_1(A, B, G))) =>  ( (k1_funct_1(E, G)=k6_domain_1(u1_struct_0(k2_pencil_1(A, B, G)), H) & k1_funct_1(F, G)=k6_domain_1(u1_struct_0(k2_pencil_1(A, B, G)), I))  => r1_pencil_1(k2_pencil_1(A, B, G), H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_pencil_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v14_pencil_1(B)) ) ) )  =>  ( (! [C] :  (m1_subset_1(C, A) => v9_pencil_1(k2_pencil_1(A, B, C))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_pencil_1(A, B, C))) =>  (! [E] :  ( ( ~ (v12_pencil_1(E))  &  (v15_pencil_1(E, A) & m3_pboole(E, A, k12_pralg_1(A, B))) )  =>  (! [F] :  ( ( ~ (v12_pencil_1(F))  &  (v15_pencil_1(F, A) & m3_pboole(F, A, k12_pralg_1(A, B))) )  =>  ~ ( (m1_pencil_2(k4_card_3(F), A, B) &  (r8_pboole(A, E, k1_funct_7(F, C, k6_domain_1(u1_struct_0(k2_pencil_1(A, B, C)), D))) &  ( ~ (r2_tarski(D, k1_funct_1(F, C)))  &  (! [G] :  (m2_finseq_1(G, k1_zfmisc_1(u1_struct_0(k5_pencil_1(A, B)))) =>  ~ ( (k1_funct_1(G, 1)=k4_card_3(E) &  (k1_funct_1(G, k3_finseq_1(G))=k4_card_3(F) &  ( (! [H] :  (v7_ordinal1(H) =>  (r2_tarski(H, k4_finseq_1(G)) => m1_pencil_2(k1_funct_1(G, H), A, B)) ) )  &  (! [H] :  (v7_ordinal1(H) =>  (r1_xxreal_0(1, H) =>  (r1_xxreal_0(k3_finseq_1(G), H) |  (! [I] :  (m1_pencil_2(I, A, B) =>  (! [J] :  (m1_pencil_2(J, A, B) =>  ( (I=k1_funct_1(G, H) & J=k1_funct_1(G, k1_nat_1(H, 1)))  =>  (r1_xboole_0(I, J) & r1_pencil_3(A, B, I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_pencil_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v14_pencil_1(B)) ) ) )  =>  ( (! [C] :  (m1_subset_1(C, A) => v9_pencil_1(k2_pencil_1(A, B, C))) )  =>  (! [C] :  (m1_pencil_2(C, A, B) =>  (! [D] :  (m1_pencil_2(D, A, B) =>  (r1_xboole_0(C, D) =>  (! [E] :  ( ( ~ (v12_pencil_1(E))  &  (v15_pencil_1(E, A) & m3_pboole(E, A, k12_pralg_1(A, B))) )  =>  (! [F] :  ( ( ~ (v12_pencil_1(F))  &  (v15_pencil_1(F, A) & m3_pboole(F, A, k12_pralg_1(A, B))) )  =>  ( (C=k4_card_3(E) & D=k4_card_3(F))  =>  (k3_pencil_1(A, E)=k3_pencil_1(A, F) <=>  (? [G] :  (m2_finseq_1(G, k1_zfmisc_1(u1_struct_0(k5_pencil_1(A, B)))) &  (k1_funct_1(G, 1)=C &  (k1_funct_1(G, k3_finseq_1(G))=D &  ( (! [H] :  (v7_ordinal1(H) =>  (r2_tarski(H, k4_finseq_1(G)) => m1_pencil_2(k1_funct_1(G, H), A, B)) ) )  &  (! [H] :  (v7_ordinal1(H) =>  (r1_xxreal_0(1, H) =>  (r1_xxreal_0(k3_finseq_1(G), H) |  (! [I] :  (m1_pencil_2(I, A, B) =>  (! [J] :  (m1_pencil_2(J, A, B) =>  ( (I=k1_funct_1(G, H) & J=k1_funct_1(G, k1_nat_1(H, 1)))  =>  (r1_xboole_0(I, J) & r1_pencil_3(A, B, I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_pencil_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v14_pencil_1(B)) ) ) )  =>  ( (! [C] :  (m1_subset_1(C, A) => v10_pencil_1(k2_pencil_1(A, B, C))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k5_pencil_1(A, B)), u1_struct_0(k5_pencil_1(A, B))) &  (v1_pencil_2(C, k5_pencil_1(A, B), k5_pencil_1(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_pencil_1(A, B)), u1_struct_0(k5_pencil_1(A, B)))))) ) )  =>  (! [D] :  (m1_pencil_2(D, A, B) =>  (! [E] :  (m1_pencil_2(E, A, B) =>  (! [F] :  ( ( ~ (v12_pencil_1(F))  &  (v15_pencil_1(F, A) & m3_pboole(F, A, k12_pralg_1(A, B))) )  =>  (! [G] :  ( ( ~ (v12_pencil_1(G))  &  (v15_pencil_1(G, A) & m3_pboole(G, A, k12_pralg_1(A, B))) )  =>  (! [H] :  ( ( ~ (v12_pencil_1(H))  &  (v15_pencil_1(H, A) & m3_pboole(H, A, k12_pralg_1(A, B))) )  =>  (! [I] :  ( ( ~ (v12_pencil_1(I))  &  (v15_pencil_1(I, A) & m3_pboole(I, A, k12_pralg_1(A, B))) )  =>  ( (D=k4_card_3(F) &  (E=k4_card_3(G) &  (k7_relset_1(u1_struct_0(k5_pencil_1(A, B)), u1_struct_0(k5_pencil_1(A, B)), C, D)=k4_card_3(H) &  (k7_relset_1(u1_struct_0(k5_pencil_1(A, B)), u1_struct_0(k5_pencil_1(A, B)), C, E)=k4_card_3(I) & k3_pencil_1(A, F)=k3_pencil_1(A, G)) ) ) )  => k3_pencil_1(A, H)=k3_pencil_1(A, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_pencil_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v14_pencil_1(B)) ) ) )  =>  ( (! [C] :  (m1_subset_1(C, A) => v10_pencil_1(k2_pencil_1(A, B, C))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k5_pencil_1(A, B)), u1_struct_0(k5_pencil_1(A, B))) &  (v1_pencil_2(C, k5_pencil_1(A, B), k5_pencil_1(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_pencil_1(A, B)), u1_struct_0(k5_pencil_1(A, B)))))) ) )  =>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, A) &  (v3_funct_2(D, A, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  &  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  (k3_funct_2(A, A, D, E)=F <=>  (! [G] :  (m1_pencil_2(G, A, B) =>  (! [H] :  ( ( ~ (v12_pencil_1(H))  &  (v15_pencil_1(H, A) & m3_pboole(H, A, k12_pralg_1(A, B))) )  =>  (! [I] :  ( ( ~ (v12_pencil_1(I))  &  (v15_pencil_1(I, A) & m3_pboole(I, A, k12_pralg_1(A, B))) )  =>  ( (G=k4_card_3(H) &  (k7_relset_1(u1_struct_0(k5_pencil_1(A, B)), u1_struct_0(k5_pencil_1(A, B)), C, G)=k4_card_3(I) & k3_pencil_1(A, H)=E) )  => k3_pencil_1(A, I)=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_pencil_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v14_pencil_1(B)) ) ) )  =>  ( (! [C] :  (m1_subset_1(C, A) => v10_pencil_1(k2_pencil_1(A, B, C))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k5_pencil_1(A, B)), u1_struct_0(k5_pencil_1(A, B))) &  (v1_pencil_2(C, k5_pencil_1(A, B), k5_pencil_1(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_pencil_1(A, B)), u1_struct_0(k5_pencil_1(A, B)))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, A) &  (v3_funct_2(D, A, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (D=k2_pencil_3(A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  (k3_funct_2(A, A, D, E)=F <=>  (! [G] :  (m1_pencil_2(G, A, B) =>  (! [H] :  ( ( ~ (v12_pencil_1(H))  &  (v15_pencil_1(H, A) & m3_pboole(H, A, k12_pralg_1(A, B))) )  =>  (! [I] :  ( ( ~ (v12_pencil_1(I))  &  (v15_pencil_1(I, A) & m3_pboole(I, A, k12_pralg_1(A, B))) )  =>  ( (G=k4_card_3(H) &  (k7_relset_1(u1_struct_0(k5_pencil_1(A, B)), u1_struct_0(k5_pencil_1(A, B)), C, G)=k4_card_3(I) & k3_pencil_1(A, H)=E) )  => k3_pencil_1(A, I)=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_pencil_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v14_pencil_1(B)) ) ) )  =>  ( (! [C] :  (m1_subset_1(C, A) => v10_pencil_1(k2_pencil_1(A, B, C))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k5_pencil_1(A, B)), u1_struct_0(k5_pencil_1(A, B))) &  (v1_pencil_2(C, k5_pencil_1(A, B), k5_pencil_1(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_pencil_1(A, B)), u1_struct_0(k5_pencil_1(A, B)))))) ) )  =>  (! [D] :  ( ( ~ (v12_pencil_1(D))  &  (v15_pencil_1(D, A) & m3_pboole(D, A, k12_pralg_1(A, B))) )  =>  (m1_pencil_2(k4_card_3(D), A, B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k2_pencil_1(A, B, k3_pencil_1(A, D))), u1_struct_0(k2_pencil_1(A, B, k3_funct_2(A, A, k2_pencil_3(A, B, C), k3_pencil_1(A, D))))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_pencil_1(A, B, k3_pencil_1(A, D))), u1_struct_0(k2_pencil_1(A, B, k3_funct_2(A, A, k2_pencil_3(A, B, C), k3_pencil_1(A, D)))))))) )  =>  (E=k3_pencil_3(A, B, C, D) <=>  (v1_pencil_2(E, k2_pencil_1(A, B, k3_pencil_1(A, D)), k2_pencil_1(A, B, k3_funct_2(A, A, k2_pencil_3(A, B, C), k3_pencil_1(A, D)))) &  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) & v1_partfun1(F, A)) ) )  =>  ( (m1_subset_1(F, u1_struct_0(k5_pencil_1(A, B))) & r2_tarski(F, k4_card_3(D)))  =>  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, A) &  (v1_funct_1(G) & v1_partfun1(G, A)) ) )  =>  (G=k1_funct_1(C, F) => k1_funct_1(G, k3_funct_2(A, A, k2_pencil_3(A, B, C), k3_pencil_1(A, D)))=k1_funct_1(E, k1_funct_1(F, k3_pencil_1(A, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_pencil_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v14_pencil_1(B)) ) ) )  =>  ( (! [C] :  (m1_subset_1(C, A) => v10_pencil_1(k2_pencil_1(A, B, C))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k5_pencil_1(A, B)), u1_struct_0(k5_pencil_1(A, B))) &  (v1_pencil_2(C, k5_pencil_1(A, B), k5_pencil_1(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_pencil_1(A, B)), u1_struct_0(k5_pencil_1(A, B)))))) ) )  =>  (! [D] :  (m1_pencil_2(D, A, B) =>  (! [E] :  (m1_pencil_2(E, A, B) =>  ( (r1_xboole_0(D, E) & r1_pencil_3(A, B, D, E))  =>  (! [F] :  ( ( ~ (v12_pencil_1(F))  &  (v15_pencil_1(F, A) & m3_pboole(F, A, k12_pralg_1(A, B))) )  =>  (! [G] :  ( ( ~ (v12_pencil_1(G))  &  (v15_pencil_1(G, A) & m3_pboole(G, A, k12_pralg_1(A, B))) )  =>  ( (k4_card_3(F)=D & k4_card_3(G)=E)  => r1_funct_2(u1_struct_0(k2_pencil_1(A, B, k3_pencil_1(A, F))), u1_struct_0(k2_pencil_1(A, B, k3_funct_2(A, A, k2_pencil_3(A, B, C), k3_pencil_1(A, F)))), u1_struct_0(k2_pencil_1(A, B, k3_pencil_1(A, G))), u1_struct_0(k2_pencil_1(A, B, k3_funct_2(A, A, k2_pencil_3(A, B, C), k3_pencil_1(A, G)))), k3_pencil_3(A, B, C, F), k3_pencil_3(A, B, C, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_pencil_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v14_pencil_1(B)) ) ) )  =>  ( (! [C] :  (m1_subset_1(C, A) => v10_pencil_1(k2_pencil_1(A, B, C))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k5_pencil_1(A, B)), u1_struct_0(k5_pencil_1(A, B))) &  (v1_pencil_2(C, k5_pencil_1(A, B), k5_pencil_1(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_pencil_1(A, B)), u1_struct_0(k5_pencil_1(A, B)))))) ) )  =>  (! [D] :  ( ( ~ (v12_pencil_1(D))  &  (v15_pencil_1(D, A) & m3_pboole(D, A, k12_pralg_1(A, B))) )  =>  (! [E] :  ( ( ~ (v12_pencil_1(E))  &  (v15_pencil_1(E, A) & m3_pboole(E, A, k12_pralg_1(A, B))) )  =>  ( (m1_pencil_2(k4_card_3(D), A, B) &  (m1_pencil_2(k4_card_3(E), A, B) & k3_pencil_1(A, D)=k3_pencil_1(A, E)) )  => r1_funct_2(u1_struct_0(k2_pencil_1(A, B, k3_pencil_1(A, D))), u1_struct_0(k2_pencil_1(A, B, k3_funct_2(A, A, k2_pencil_3(A, B, C), k3_pencil_1(A, D)))), u1_struct_0(k2_pencil_1(A, B, k3_pencil_1(A, E))), u1_struct_0(k2_pencil_1(A, B, k3_funct_2(A, A, k2_pencil_3(A, B, C), k3_pencil_1(A, E)))), k3_pencil_3(A, B, C, D), k3_pencil_3(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_pencil_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v14_pencil_1(B)) ) ) )  =>  ( (! [C] :  (m1_subset_1(C, A) => v10_pencil_1(k2_pencil_1(A, B, C))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k5_pencil_1(A, B)), u1_struct_0(k5_pencil_1(A, B))) &  (v1_pencil_2(C, k5_pencil_1(A, B), k5_pencil_1(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_pencil_1(A, B)), u1_struct_0(k5_pencil_1(A, B)))))) ) )  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(k2_pencil_1(A, B, D)), u1_struct_0(k2_pencil_1(A, B, k3_funct_2(A, A, k2_pencil_3(A, B, C), D)))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_pencil_1(A, B, D)), u1_struct_0(k2_pencil_1(A, B, k3_funct_2(A, A, k2_pencil_3(A, B, C), D))))))) )  =>  (E=k4_pencil_3(A, B, C, D) <=>  (! [F] :  ( ( ~ (v12_pencil_1(F))  &  (v15_pencil_1(F, A) & m3_pboole(F, A, k12_pralg_1(A, B))) )  =>  ( (m1_pencil_2(k4_card_3(F), A, B) & k3_pencil_1(A, F)=D)  => r1_funct_2(u1_struct_0(k2_pencil_1(A, B, D)), u1_struct_0(k2_pencil_1(A, B, k3_funct_2(A, A, k2_pencil_3(A, B, C), D))), u1_struct_0(k2_pencil_1(A, B, k3_pencil_1(A, F))), u1_struct_0(k2_pencil_1(A, B, k3_funct_2(A, A, k2_pencil_3(A, B, C), k3_pencil_1(A, F)))), E, k3_pencil_3(A, B, C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_pencil_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v14_pencil_1(B)) ) ) )  =>  ( (! [C] :  (m1_subset_1(C, A) => v10_pencil_1(k2_pencil_1(A, B, C))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k5_pencil_1(A, B)), u1_struct_0(k5_pencil_1(A, B))) &  (v1_pencil_2(C, k5_pencil_1(A, B), k5_pencil_1(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_pencil_1(A, B)), u1_struct_0(k5_pencil_1(A, B)))))) ) )  =>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, A) &  (v3_funct_2(D, A, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  &  (? [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) &  (v1_partfun1(E, A) & v1_funcop_1(E)) ) ) )  &  (! [F] :  (m1_subset_1(F, A) =>  ( (v1_funct_1(k1_funct_1(E, F)) &  (v1_funct_2(k1_funct_1(E, F), u1_struct_0(k2_pencil_1(A, B, F)), u1_struct_0(k2_pencil_1(A, B, k3_funct_2(A, A, D, F)))) & m1_subset_1(k1_funct_1(E, F), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_pencil_1(A, B, F)), u1_struct_0(k2_pencil_1(A, B, k3_funct_2(A, A, D, F))))))) )  &  ( (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(k2_pencil_1(A, B, F)), u1_struct_0(k2_pencil_1(A, B, k3_funct_2(A, A, D, F)))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_pencil_1(A, B, F)), u1_struct_0(k2_pencil_1(A, B, k3_funct_2(A, A, D, F))))))) )  =>  (G=k1_funct_1(E, F) => v1_pencil_2(G, k2_pencil_1(A, B, F), k2_pencil_1(A, B, k3_funct_2(A, A, D, F)))) ) )  &  (! [G] :  (m1_subset_1(G, u1_struct_0(k5_pencil_1(A, B))) =>  (! [H] :  ( (v1_relat_1(H) &  (v4_relat_1(H, A) &  (v1_funct_1(H) & v1_partfun1(H, A)) ) )  =>  (H=G =>  (! [I] :  ( (v1_relat_1(I) &  (v4_relat_1(I, A) &  (v1_funct_1(I) & v1_partfun1(I, A)) ) )  =>  (I=k3_funct_2(u1_struct_0(k5_pencil_1(A, B)), u1_struct_0(k5_pencil_1(A, B)), C, G) =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k2_pencil_1(A, B, F)), u1_struct_0(k2_pencil_1(A, B, k3_funct_2(A, A, D, F)))) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_pencil_1(A, B, F)), u1_struct_0(k2_pencil_1(A, B, k3_funct_2(A, A, D, F))))))) )  =>  (J=k1_funct_1(E, F) => k1_funct_1(I, k3_funct_2(A, A, D, F))=k1_funct_1(J, k1_funct_1(H, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_pencil_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) ) )  => v7_ordinal1(k1_pencil_3(A, B, C))) ) ).
fof(dt_k2_pencil_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v14_pencil_1(B)) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k5_pencil_1(A, B)), u1_struct_0(k5_pencil_1(A, B))) &  (v1_pencil_2(C, k5_pencil_1(A, B), k5_pencil_1(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_pencil_1(A, B)), u1_struct_0(k5_pencil_1(A, B)))))) ) ) ) )  =>  (v1_funct_1(k2_pencil_3(A, B, C)) &  (v1_funct_2(k2_pencil_3(A, B, C), A, A) &  (v3_funct_2(k2_pencil_3(A, B, C), A, A) & m1_subset_1(k2_pencil_3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ).
fof(dt_k3_pencil_3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v14_pencil_1(B)) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k5_pencil_1(A, B)), u1_struct_0(k5_pencil_1(A, B))) &  (v1_pencil_2(C, k5_pencil_1(A, B), k5_pencil_1(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_pencil_1(A, B)), u1_struct_0(k5_pencil_1(A, B)))))) ) )  &  ( ~ (v12_pencil_1(D))  &  (v15_pencil_1(D, A) & m3_pboole(D, A, k12_pralg_1(A, B))) ) ) ) )  =>  (v1_funct_1(k3_pencil_3(A, B, C, D)) &  (v1_funct_2(k3_pencil_3(A, B, C, D), u1_struct_0(k2_pencil_1(A, B, k3_pencil_1(A, D))), u1_struct_0(k2_pencil_1(A, B, k3_funct_2(A, A, k2_pencil_3(A, B, C), k3_pencil_1(A, D))))) & m1_subset_1(k3_pencil_3(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_pencil_1(A, B, k3_pencil_1(A, D))), u1_struct_0(k2_pencil_1(A, B, k3_funct_2(A, A, k2_pencil_3(A, B, C), k3_pencil_1(A, D)))))))) ) ) ) ).
fof(dt_k4_pencil_3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v14_pencil_1(B)) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k5_pencil_1(A, B)), u1_struct_0(k5_pencil_1(A, B))) &  (v1_pencil_2(C, k5_pencil_1(A, B), k5_pencil_1(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_pencil_1(A, B)), u1_struct_0(k5_pencil_1(A, B)))))) ) )  & m1_subset_1(D, A)) ) )  =>  (v1_funct_1(k4_pencil_3(A, B, C, D)) &  (v1_funct_2(k4_pencil_3(A, B, C, D), u1_struct_0(k2_pencil_1(A, B, D)), u1_struct_0(k2_pencil_1(A, B, k3_funct_2(A, A, k2_pencil_3(A, B, C), D)))) & m1_subset_1(k4_pencil_3(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_pencil_1(A, B, D)), u1_struct_0(k2_pencil_1(A, B, k3_funct_2(A, A, k2_pencil_3(A, B, C), D))))))) ) ) ) ).
fof(d1_pencil_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => k1_pencil_3(A, B, C)=k1_card_1(a_3_0_pencil_3(A, B, C))) ) ) ) ) ) ).
fof(fraenkel_a_3_0_pencil_3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  &  ( (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, B)) ) )  &  (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) & v1_partfun1(D, B)) ) ) ) )  =>  (r2_hidden(A, a_3_0_pencil_3(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, B) &  (A=E &  ~ (k1_funct_1(C, E)=k1_funct_1(D, E)) ) ) ) ) ) ) ).
fof(fc1_pencil_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k8_pencil_4(A))) ) ) ).
fof(fc2_pencil_4, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  ~ (v1_xboole_0(k9_pencil_4(A, B))) ) ) ).
fof(fc3_pencil_4, axiom,  (! [A, B] :  ( ~ (v1_zfmisc_1(B))  =>  ~ (v1_zfmisc_1(k9_pencil_4(A, B))) ) ) ).
fof(fc4_pencil_4, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) )  =>  ~ (v1_xboole_0(k10_pencil_4(A, B))) ) ) ).
fof(fc5_pencil_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  ( ~ (v2_struct_0(k11_pencil_4(A)))  & v1_pre_topc(k11_pencil_4(A))) ) ) ).
fof(fc6_pencil_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  & l1_pre_topc(A)) )  =>  (v1_pre_topc(k11_pencil_4(A)) &  ~ (v3_pencil_1(k11_pencil_4(A))) ) ) ) ).
fof(fc7_pencil_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  ( ~ (v4_pencil_1(A))  & l1_pre_topc(A)) ) )  =>  (v1_pre_topc(k11_pencil_4(A)) &  ~ (v4_pencil_1(k11_pencil_4(A))) ) ) ) ).
fof(fc8_pencil_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v3_pencil_1(A))  &  (v5_pencil_1(A) & l1_pre_topc(A)) ) )  =>  (v1_pre_topc(k11_pencil_4(A)) & v5_pencil_1(k11_pencil_4(A))) ) ) ).
fof(fc9_pencil_4, axiom,  (! [A] :  ( (v6_pencil_1(A) & l1_pre_topc(A))  =>  (v1_pre_topc(k11_pencil_4(A)) & v6_pencil_1(k11_pencil_4(A))) ) ) ).
fof(t1_pencil_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  (r1_xxreal_0(3, B) &  (r1_xxreal_0(B, k1_nat_1(A, 1)) &  ~ (r1_xxreal_0(2, A)) ) ) ) ) ) ) ) ) ).
fof(t2_pencil_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) => m1_vectsp_4(C, A, k2_vectsp_4(A, B))) ) ) ) ) ) ).
fof(t3_pencil_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, k2_vectsp_4(A, B)) => m1_vectsp_4(C, A, B)) ) ) ) ) ) ).
fof(t4_pencil_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) => m1_vectsp_4(k2_vectsp_4(A, C), A, B)) ) ) ) ) ) ).
fof(t5_pencil_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (m1_vectsp_4(k2_vectsp_4(A, C), A, B) => m1_vectsp_4(C, A, B)) ) ) ) ) ) ) ).
fof(d1_pencil_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_vectsp_4(D, A, B) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k3_vectsp_5(A, B))) =>  ( (m1_vectsp_4(C, A, D) =>  (E=k1_pencil_4(A, B, C, D) <=>  (! [F] :  ( (v7_vectsp_1(F, A) & m1_vectsp_4(F, A, B))  =>  (r2_tarski(F, E) <=>  (m1_vectsp_4(C, A, F) & m1_vectsp_4(F, A, D)) ) ) ) ) )  &  ( ~ (m1_vectsp_4(C, A, D))  =>  (E=k1_pencil_4(A, B, C, D) <=> E=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_pencil_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_vectsp_4(D, A, B) =>  (! [E] :  (m1_vectsp_4(E, A, B) =>  (! [F] :  (m1_vectsp_4(F, A, B) =>  ( (m1_vectsp_4(C, A, D) &  (m1_vectsp_4(E, A, F) &  (k2_vectsp_4(A, C)=k2_vectsp_4(A, E) & k2_vectsp_4(A, D)=k2_vectsp_4(A, F)) ) )  => k1_pencil_4(A, B, C, D)=k1_pencil_4(A, B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_pencil_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_vectsp_4(D, A, B) => k2_pencil_4(A, B, C, D)=k7_subset_1(k3_vectsp_5(A, B), k1_pencil_4(A, B, C, D), k2_tarski(k2_vectsp_4(A, C), k2_vectsp_4(A, D)))) ) ) ) ) ) ) ) ).
fof(t7_pencil_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_vectsp_4(D, A, B) =>  (! [E] :  (m1_vectsp_4(E, A, B) =>  (! [F] :  (m1_vectsp_4(F, A, B) =>  ( (m1_vectsp_4(C, A, D) &  (m1_vectsp_4(E, A, F) &  (k2_vectsp_4(A, C)=k2_vectsp_4(A, E) & k2_vectsp_4(A, D)=k2_vectsp_4(A, F)) ) )  => k2_pencil_4(A, B, C, D)=k2_pencil_4(A, B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_pencil_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_vectsp_4(D, A, B) =>  (! [E] :  (v7_ordinal1(E) => k3_pencil_4(A, B, C, D, E)=k8_subset_1(k3_vectsp_5(A, B), k2_pencil_4(A, B, C, D), k2_vectsp_9(A, B, E))) ) ) ) ) ) ) ) ) ) ).
fof(t8_pencil_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_vectsp_4(D, A, B) =>  (! [E] :  (m1_vectsp_4(E, A, B) =>  (! [F] :  (m1_vectsp_4(F, A, B) =>  (r2_tarski(F, k3_pencil_4(A, B, D, E, C)) =>  (m1_vectsp_4(D, A, F) & m1_vectsp_4(F, A, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_pencil_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_vectsp_4(D, A, B) =>  (! [E] :  (m1_vectsp_4(E, A, B) =>  (! [F] :  (m1_vectsp_4(F, A, B) =>  (! [G] :  (m1_vectsp_4(G, A, B) =>  ( (m1_vectsp_4(D, A, E) &  (m1_vectsp_4(F, A, G) &  (k2_vectsp_4(A, D)=k2_vectsp_4(A, F) & k2_vectsp_4(A, E)=k2_vectsp_4(A, G)) ) )  => k3_pencil_4(A, B, D, E, C)=k3_pencil_4(A, B, F, G, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_pencil_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(k2_vectsp_9(A, B, C)))) =>  (D=k4_pencil_4(A, B, C) <=>  (! [E] :  (r2_tarski(E, D) <=>  (? [F] :  (m1_vectsp_4(F, A, B) &  (? [G] :  (m1_vectsp_4(G, A, B) &  (m1_vectsp_4(F, A, G) &  (k1_nat_1(k1_vectsp_9(A, F), 1)=C &  (k1_vectsp_9(A, G)=k1_nat_1(C, 1) & E=k3_pencil_4(A, B, F, G, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_pencil_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, C) &  ( ~ (r1_xxreal_0(k1_vectsp_9(A, B), C))  & v1_xboole_0(k4_pencil_4(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t11_pencil_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_vectsp_4(D, A, B) =>  (! [E] :  (m1_vectsp_4(E, A, B) =>  (! [F] :  (m1_vectsp_4(F, A, B) =>  (! [G] :  (v7_ordinal1(G) =>  ( (k1_nat_1(k1_vectsp_9(A, C), 1)=G &  (k1_vectsp_9(A, D)=k1_nat_1(G, 1) &  (r2_tarski(E, k3_pencil_4(A, B, C, D, G)) & r2_tarski(F, k3_pencil_4(A, B, C, D, G))) ) )  =>  (E=F |  (k2_vectsp_5(A, B, E, F)=k2_vectsp_4(A, C) & k1_vectsp_5(A, B, E, F)=k2_vectsp_4(A, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_pencil_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  ( ~ (C=k4_struct_0(B))  => k1_vectsp_9(A, k1_vectsp_7(A, B, k6_domain_1(u1_struct_0(B), C)))=1) ) ) ) ) ) ) ).
fof(t13_pencil_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  ( ~ (r1_struct_0(C, D))  => k1_vectsp_9(A, k1_vectsp_5(A, B, C, k1_vectsp_7(A, B, k6_domain_1(u1_struct_0(B), D))))=k1_nat_1(k1_vectsp_9(A, C), 1)) ) ) ) ) ) ) ) ) ).
fof(t14_pencil_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  ( (v1_vectsp_7(k7_domain_1(u1_struct_0(B), D, E), A, B) & k2_vectsp_5(A, B, C, k1_vectsp_7(A, B, k7_domain_1(u1_struct_0(B), D, E)))=k1_vectsp_4(A, B))  =>  (D=E | k1_vectsp_9(A, k1_vectsp_5(A, B, C, k1_vectsp_7(A, B, k7_domain_1(u1_struct_0(B), D, E))))=k1_nat_1(k1_vectsp_9(A, C), 2)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_pencil_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_vectsp_4(D, A, B) =>  (m1_vectsp_4(C, A, D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (k1_nat_1(k1_vectsp_9(A, C), 1)=E & k1_vectsp_9(A, D)=k1_nat_1(E, 1))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (r1_struct_0(D, F) =>  (r1_struct_0(C, F) | r2_tarski(k1_vectsp_5(A, B, C, k1_vectsp_7(A, B, k6_domain_1(u1_struct_0(B), F))), k3_pencil_4(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_pencil_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (m1_vectsp_4(D, A, B) =>  (m1_vectsp_4(C, A, D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (k1_nat_1(k1_vectsp_9(A, C), 1)=E &  (k1_vectsp_9(A, D)=k1_nat_1(E, 1) & v1_zfmisc_1(k3_pencil_4(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_pencil_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) => k5_pencil_4(A, B, C)=g1_pre_topc(k2_vectsp_9(A, B, C), k4_pencil_4(A, B, C))) ) ) ) ) ) ).
fof(t17_pencil_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, C) &  ( ~ (r1_xxreal_0(k1_vectsp_9(A, B), C))  & v3_pencil_1(k5_pencil_4(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t18_pencil_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, C) &  ( ~ (r1_xxreal_0(k1_vectsp_9(A, B), C))  &  (r1_xxreal_0(3, k1_vectsp_9(A, B)) & v4_pencil_1(k5_pencil_4(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t19_pencil_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(1, C) =>  (r1_xxreal_0(k1_vectsp_9(A, B), C) | v5_pencil_1(k5_pencil_4(A, B, C))) ) ) ) ) ) ) ) ).
fof(t20_pencil_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(1, C) =>  (r1_xxreal_0(k1_vectsp_9(A, B), C) | v6_pencil_1(k5_pencil_4(A, B, C))) ) ) ) ) ) ) ) ).
fof(t21_pencil_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(3, k1_vectsp_9(A, B)))  =>  (r1_xxreal_0(k1_vectsp_9(A, B), C) |  ( ~ (v2_struct_0(k5_pencil_4(A, B, C)))  &  ( ~ (v3_pencil_1(k5_pencil_4(A, B, C)))  &  ( ~ (v4_pencil_1(k5_pencil_4(A, B, C)))  &  (v5_pencil_1(k5_pencil_4(A, B, C)) &  (v6_pencil_1(k5_pencil_4(A, B, C)) & l1_pre_topc(k5_pencil_4(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_pencil_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(k2_vectsp_9(A, B, C)))) =>  (E=k6_pencil_4(A, B, C, D) <=>  (! [F] :  (r2_tarski(F, E) <=>  (? [G] :  (m1_vectsp_4(G, A, B) &  (k1_vectsp_9(A, G)=D & F=k2_vectsp_9(A, G, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_pencil_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(D, k1_vectsp_9(A, B)) & v1_xboole_0(k6_pencil_4(A, B, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t23_pencil_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (k2_vectsp_4(A, B)=k2_vectsp_4(A, C) =>  (! [D] :  (v7_ordinal1(D) => k2_vectsp_9(A, B, D)=k2_vectsp_9(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t24_pencil_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_4(C, A, B) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k1_vectsp_9(A, B)) & r1_tarski(k2_vectsp_9(A, B, D), k2_vectsp_9(A, C, D))) )  => k2_vectsp_4(A, B)=k2_vectsp_4(A, C)) ) ) ) ) ) ) ) ) ).
fof(d7_pencil_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => k7_pencil_4(A, B, C, D)=g1_pre_topc(k2_vectsp_9(A, B, C), k6_pencil_4(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t25_pencil_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(D, k1_vectsp_9(A, B)) & v3_pencil_1(k7_pencil_4(A, B, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t26_pencil_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(1, C) &  ( ~ (r1_xxreal_0(D, C))  &  ( ~ (r1_xxreal_0(k1_vectsp_9(A, B), D))  & v4_pencil_1(k7_pencil_4(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_pencil_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(D, k1_vectsp_9(A, B)))  =>  (r1_xxreal_0(D, C) | v5_pencil_1(k7_pencil_4(A, B, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t28_pencil_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(k1_nat_1(C, 1), k1_vectsp_9(A, B)) => v6_pencil_1(k7_pencil_4(A, B, C, k1_nat_1(C, 1)))) ) ) ) ) ) ) ).
fof(t29_pencil_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(1, C) =>  (r1_xxreal_0(k1_vectsp_9(A, B), k1_nat_1(C, 1)) |  ( ~ (v2_struct_0(k7_pencil_4(A, B, C, k1_nat_1(C, 1))))  &  ( ~ (v3_pencil_1(k7_pencil_4(A, B, C, k1_nat_1(C, 1))))  &  ( ~ (v4_pencil_1(k7_pencil_4(A, B, C, k1_nat_1(C, 1))))  &  (v5_pencil_1(k7_pencil_4(A, B, C, k1_nat_1(C, 1))) &  (v6_pencil_1(k7_pencil_4(A, B, C, k1_nat_1(C, 1))) & l1_pre_topc(k7_pencil_4(A, B, C, k1_nat_1(C, 1)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_pencil_4, axiom,  (! [A] :  (! [B] :  (B=k8_pencil_4(A) <=>  (! [C] :  (r2_tarski(C, B) <=>  (? [D] :  (? [E] :  (r2_tarski(D, A) &  (r2_tarski(E, A) & C=k2_tarski(D, E)) ) ) ) ) ) ) ) ) ).
fof(d9_pencil_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (C=k9_pencil_4(A, B) <=>  (! [D] :  (r2_tarski(D, C) <=>  (? [E] :  (r2_tarski(E, B) & D=k2_tarski(A, E)) ) ) ) ) ) ) ) ).
fof(d10_pencil_4, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k8_pencil_4(A)))) =>  (C=k10_pencil_4(A, B) <=>  (! [D] :  (r2_tarski(D, C) <=>  (? [E] :  (? [F] :  (m1_subset_1(F, k1_zfmisc_1(A)) &  (r2_tarski(E, A) &  (r2_tarski(F, B) & D=k9_pencil_4(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_pencil_4, axiom,  (! [A] :  (l1_pre_topc(A) => k11_pencil_4(A)=g1_pre_topc(k8_pencil_4(u1_struct_0(A)), k10_pencil_4(u1_struct_0(A), u1_pre_topc(A)))) ) ).
fof(dt_k1_pencil_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  (m1_vectsp_4(C, A, B) & m1_vectsp_4(D, A, B)) ) )  => m1_subset_1(k1_pencil_4(A, B, C, D), k1_zfmisc_1(k3_vectsp_5(A, B)))) ) ).
fof(dt_k2_pencil_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  (m1_vectsp_4(C, A, B) & m1_vectsp_4(D, A, B)) ) )  => m1_subset_1(k2_pencil_4(A, B, C, D), k1_zfmisc_1(k3_vectsp_5(A, B)))) ) ).
fof(dt_k3_pencil_4, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  &  (m1_vectsp_4(C, A, B) &  (m1_vectsp_4(D, A, B) & v7_ordinal1(E)) ) ) )  => m1_subset_1(k3_pencil_4(A, B, C, D, E), k1_zfmisc_1(k2_vectsp_9(A, B, E)))) ) ).
fof(dt_k4_pencil_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  & v7_ordinal1(C)) )  => m1_subset_1(k4_pencil_4(A, B, C), k1_zfmisc_1(k1_zfmisc_1(k2_vectsp_9(A, B, C))))) ) ).
fof(dt_k5_pencil_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  & v7_ordinal1(C)) )  =>  (v1_pre_topc(k5_pencil_4(A, B, C)) & l1_pre_topc(k5_pencil_4(A, B, C))) ) ) ).
fof(dt_k6_pencil_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  &  (v7_ordinal1(C) & v7_ordinal1(D)) ) )  => m1_subset_1(k6_pencil_4(A, B, C, D), k1_zfmisc_1(k1_zfmisc_1(k2_vectsp_9(A, B, C))))) ) ).
fof(dt_k7_pencil_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  &  (v7_ordinal1(C) & v7_ordinal1(D)) ) )  =>  (v1_pre_topc(k7_pencil_4(A, B, C, D)) & l1_pre_topc(k7_pencil_4(A, B, C, D))) ) ) ).
fof(dt_k10_pencil_4, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) => m1_subset_1(k10_pencil_4(A, B), k1_zfmisc_1(k1_zfmisc_1(k8_pencil_4(A))))) ) ).
fof(dt_k11_pencil_4, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v1_pre_topc(k11_pencil_4(A)) & l1_pre_topc(k11_pencil_4(A))) ) ) ).
fof(fc1_pepin, axiom,  (! [A] :  (v1_int_1(A) => v7_ordinal1(k1_square_1(A))) ) ).
fof(t1_pepin, axiom,  (! [A] :  (v7_ordinal1(A) => r1_int_2(A, k1_nat_1(A, 1))) ) ).
fof(t2_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (v1_int_2(B) &  ( ~ (r1_int_2(A, B))  &  ~ (k6_nat_d(A, B)=B) ) ) ) ) ) ) ) ).
fof(t3_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_nat_d(A, k3_xcmplx_0(C, B)) & r1_int_2(C, A))  => r1_nat_d(A, B)) ) ) ) ) ) ) ).
fof(t4_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_nat_d(C, B) &  (r1_nat_d(A, B) & r1_int_2(C, A)) )  => r1_nat_d(k3_xcmplx_0(C, A), B)) ) ) ) ) ) ) ).
fof(t5_pepin, axiom,  (! [A] :  (v1_int_1(A) =>  ( ~ (r1_xxreal_0(A, 1))  => k5_int_1(1, A)=1) ) ) ).
fof(t6_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (A=k5_numbers)  =>  (r1_nat_d(A, B) <=> k4_nat_d(B, A)=k5_numbers) ) ) ) ) ) ).
fof(t7_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_nat_d(A, k4_nat_d(B, A)) =>  (A=k5_numbers | r1_nat_d(A, B)) ) ) ) ) ) ).
fof(t8_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (k4_nat_d(A, B)=C =>  (r1_xxreal_0(B, k5_numbers) | r1_int_1(B, k6_xcmplx_0(A, C))) ) ) ) ) ) ) ) ).
fof(t9_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (k3_xcmplx_0(A, C)=k5_numbers)  &  ( ~ (r1_xxreal_0(C, k4_nat_d(B, k3_xcmplx_0(A, C))))  &  ~ (k4_nat_d(B, k3_xcmplx_0(A, C))=k4_nat_d(B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t10_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) => k5_int_1(k2_xcmplx_0(k3_xcmplx_0(B, A), 1), A)=k4_nat_d(1, A)) ) ) ) ).
fof(t11_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (k4_nat_d(k3_xcmplx_0(C, A), B)=k4_nat_d(A, B) & r1_int_2(A, B))  =>  (r1_xxreal_0(B, 1) | k4_nat_d(C, B)=1) ) ) ) ) ) ) ) ).
fof(t12_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k4_nat_d(k1_newton(C, A), B)=k4_nat_d(k1_newton(k4_nat_d(C, B), A), B)) ) ) ) ) ) ).
fof(t13_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (A=k5_numbers)  => k4_nat_d(k1_square_1(A), k1_nat_1(A, 1))=1) ) ) ).
fof(t14_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (k4_nat_d(A, B)=C =>  (r1_xxreal_0(B, k1_square_1(C)) | k4_nat_d(k1_square_1(A), B)=k1_square_1(C)) ) ) ) ) ) ) ) ).
fof(t15_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (v1_int_2(B) & k4_nat_d(A, B)=k4_xcmplx_0(1))  => k4_nat_d(k1_square_1(A), B)=1) ) ) ) ) ).
fof(t16_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( (v1_abian(A) & v1_abian(k1_nat_1(A, 1))) ) ) ) ).
fof(t17_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (r1_xxreal_0(A, 2))  &  (v1_int_2(A) & v1_abian(A)) ) ) ) ) ).
fof(t18_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => v1_abian(k2_power(2, A))) ) ) ).
fof(t19_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (v1_abian(A))  &  ( ~ (v1_abian(B))  & v1_abian(k3_xcmplx_0(A, B))) ) ) ) ) ) ) ).
fof(t20_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (v1_abian(A))  & v1_abian(k1_newton(A, B))) ) ) ) ) ) ).
fof(t21_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (v1_abian(A) =>  (r1_xxreal_0(B, k5_numbers) | v1_abian(k1_newton(A, B))) ) ) ) ) ) ).
fof(t22_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_nat_d(2, A) <=> v1_abian(A)) ) ) ).
fof(t23_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (v1_abian(k3_xcmplx_0(A, B)) &  ( ~ (v1_abian(A))  &  ~ (v1_abian(B)) ) ) ) ) ) ) ) ).
fof(t24_pepin, axiom,  (! [A] :  (v7_ordinal1(A) => k1_newton(A, 2)=k1_square_1(A)) ) ).
fof(t25_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(A, 1))  &  ( ~ (r1_xxreal_0(B, k5_numbers))  & r1_xxreal_0(k1_newton(A, B), 1)) ) ) ) ) ) ) ).
fof(t26_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (A=k5_numbers)  &  ( ~ (B=k5_numbers)  &  ~ (k1_newton(A, B)=k3_xcmplx_0(A, k1_newton(A, k7_nat_d(B, 1)))) ) ) ) ) ) ) ) ).
fof(t27_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (k4_nat_d(B, 2)=k5_numbers => k1_square_1(k1_newton(A, k3_nat_d(B, 2)))=k1_newton(A, B)) ) ) ) ) ).
fof(t28_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(1, A) =>  (B=k5_numbers | k3_nat_d(k1_newton(B, A), B)=k1_newton(B, k7_nat_d(A, 1))) ) ) ) ) ) ).
fof(t29_pepin, axiom,  (! [A] :  (v7_ordinal1(A) => k11_newton(2, k1_nat_1(A, 1))=k2_xcmplx_0(k1_newton(2, A), k1_newton(2, A))) ) ).
fof(t30_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (k1_newton(A, C)=k1_newton(A, B) =>  (r1_xxreal_0(A, 1) | C=B) ) ) ) ) ) ) ) ).
fof(t31_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(A, B) <=> r1_nat_d(k1_newton(2, A), k1_newton(2, B))) ) ) ) ) ).
fof(t32_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (v1_int_2(C) &  (r1_nat_d(A, k1_newton(C, B)) &  ( ~ (A=1)  &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ~ (A=k3_xcmplx_0(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (v1_int_2(B) =>  (r1_xxreal_0(k1_newton(B, k1_nat_1(A, 1)), C) |  (r1_nat_d(C, k1_newton(B, k1_nat_1(A, 1))) <=> r1_nat_d(C, k1_newton(B, A))) ) ) ) ) ) ) ) ) ).
fof(t34_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (v1_int_2(B) &  (r1_nat_d(A, k1_newton(B, C)) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ~ ( (A=k1_newton(B, D) & r1_xxreal_0(D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (k4_nat_d(A, C)=1 =>  (r1_xxreal_0(C, 1) | k4_nat_d(k1_newton(A, B), C)=1) ) ) ) ) ) ) ) ).
fof(t36_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k4_nat_d(k1_newton(B, A), B)=k5_numbers) ) ) ) ) ).
fof(t37_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (v1_int_2(B) & r1_int_2(A, B))  => k4_nat_d(k1_newton(A, k7_nat_d(B, 1)), B)=1) ) ) ) ) ).
fof(t38_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (v1_int_2(C) & r1_nat_d(A, k1_newton(C, B)))  =>  (r1_xxreal_0(A, 1) |  (r1_nat_d(A, k3_nat_d(k1_newton(C, B), C)) | A=k1_newton(C, B)) ) ) ) ) ) ) ) ) ).
fof(t39_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(B, 1))  =>  (k4_nat_d(A, B)=1 <=> r2_int_1(A, 1, B)) ) ) ) ) ) ).
fof(t40_pepin, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  ( (r2_int_1(A, B, D) & r2_int_1(A, C, D))  => r2_int_1(B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t41_pepin, axiom, v1_int_2(3)).
fof(t42_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (A=k5_numbers)  & k1_euler_1(A)=k5_numbers) ) ) ) ).
fof(t43_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (A=k5_numbers)  & r1_xxreal_0(A, k4_xcmplx_0(A))) ) ) ) ).
fof(t44_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (A=k5_numbers)  => k3_nat_d(A, A)=1) ) ) ).
fof(d1_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k2_pepin(A, B, C)=k4_nat_d(k1_newton(B, A), C)) ) ) ) ) ) ).
fof(t45_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (v1_int_2(B) &  (v1_int_2(C) &  (A=k3_xcmplx_0(B, C) &  (r1_int_2(D, k1_euler_1(A)) & k4_nat_d(k3_xcmplx_0(D, E), k1_euler_1(A))=1) ) ) )  =>  (B=C |  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  ( ~ (r1_xxreal_0(A, F))  => k2_pepin(E, k2_pepin(D, F, A), A)=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_int_2(A, B) =>  (r1_xxreal_0(B, 1) |  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (C=k3_pepin(A, B) <=>  ( ~ (r1_xxreal_0(C, k5_numbers))  &  (k4_nat_d(k1_newton(A, C), B)=1 &  (! [D] :  (v7_ordinal1(D) =>  (k4_nat_d(k1_newton(A, D), B)=1 =>  (r1_xxreal_0(D, k5_numbers) |  ( ~ (r1_xxreal_0(C, k5_numbers))  & r1_xxreal_0(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, 1))  => k3_pepin(1, A)=1) ) ) ).
fof(t47_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (k4_nat_d(k1_newton(A, B), C)=1 & r1_int_2(A, C))  =>  (r1_xxreal_0(C, 1) | r1_nat_d(k3_pepin(A, C), B)) ) ) ) ) ) ) ) ).
fof(t48_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_int_2(A, C) & r1_nat_d(k3_pepin(A, C), B))  =>  (r1_xxreal_0(C, 1) | k4_nat_d(k1_newton(A, B), C)=1) ) ) ) ) ) ) ) ).
fof(t49_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (v1_int_2(B) & r1_int_2(A, B))  => r1_nat_d(k3_pepin(A, B), k7_nat_d(B, 1))) ) ) ) ) ).
fof(d3_pepin, axiom,  (! [A] :  (v7_ordinal1(A) => k4_pepin(A)=k1_nat_1(k1_newton(2, k1_newton(2, A)), 1)) ) ).
fof(t50_pepin, axiom, k4_pepin(k5_numbers)=3).
fof(t51_pepin, axiom, k4_pepin(1)=5).
fof(t52_pepin, axiom, k4_pepin(2)=17).
fof(t53_pepin, axiom, k4_pepin(3)=257).
fof(t54_pepin, axiom, k4_pepin(4)=k1_nat_1(k2_nat_1(256, 256), 1)).
fof(t55_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ (r1_xxreal_0(k4_pepin(A), 2)) ) ) ).
fof(t56_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (v1_int_2(B) &  ( ~ (r1_xxreal_0(B, 2))  &  (r1_nat_d(B, k4_pepin(A)) &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ (B=k1_nat_1(k2_nat_1(C, k11_newton(2, k1_nat_1(A, 1))), 1)) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (A=k5_numbers)  => r1_int_2(3, k4_pepin(A))) ) ) ).
fof(t58_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r2_int_1(k11_newton(3, k3_nat_d(k7_nat_d(k4_pepin(A), 1), 2)), k4_xcmplx_0(1), k4_pepin(A)) => v1_int_2(k4_pepin(A))) ) ) ).
fof(t59_pepin, axiom, v1_int_2(5)).
fof(t60_pepin, axiom, v1_int_2(17)).
fof(t61_pepin, axiom, v1_int_2(257)).
fof(t62_pepin, axiom, v1_int_2(k1_nat_1(k2_nat_1(256, 256), 1))).
fof(t63_pepin, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (k5_int_1(A, B)=k5_numbers =>  (B=k5_numbers | k4_int_1(A, B)=k7_xcmplx_0(A, B)) ) ) ) ) ) ).
fof(t64_pepin, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  => k3_nat_d(k1_newton(A, B), A)=k7_xcmplx_0(k1_newton(A, B), A)) ) ) ) ) ).
fof(t65_pepin, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  ( ~ (r1_xxreal_0(A, 1))  & r1_xxreal_0(k1_newton(A, B), 1)) ) ) ) ) ) ) ).
fof(t66_pepin, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(A, 1))  &  ( ~ (r1_xxreal_0(B, C))  & r1_xxreal_0(k1_newton(A, B), k1_newton(A, C))) ) ) ) ) ) ) ) ) ).
fof(dt_k1_pepin, axiom,  (! [A] :  (v1_int_1(A) => m1_subset_1(k1_pepin(A), k4_ordinal1)) ) ).
fof(redefinition_k1_pepin, axiom,  (! [A] :  (v1_int_1(A) => k1_pepin(A)=k1_square_1(A)) ) ).
fof(dt_k2_pepin, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) & v7_ordinal1(C)) )  => m1_subset_1(k2_pepin(A, B, C), k4_ordinal1)) ) ).
fof(dt_k3_pepin, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => m1_subset_1(k3_pepin(A, B), k4_ordinal1)) ) ).
fof(dt_k4_pepin, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k4_pepin(A), k4_ordinal1)) ) ).
fof(rc1_peterson, axiom,  (? [A] :  (l1_peterson(A) & v1_peterson(A)) ) ).
fof(rc2_peterson, axiom,  (? [A] :  (l1_peterson(A) & v2_peterson(A)) ) ).
fof(rc3_peterson, axiom,  (? [A] :  (l1_orders_2(A) &  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) & v3_peterson(A)) ) ) ) ) ).
fof(rc4_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (? [B] :  (l2_peterson(B, A) & v4_peterson(B, A)) ) ) ) ).
fof(rc5_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (? [B] :  (l2_peterson(B, A) & v10_peterson(B, A)) ) ) ) ).
fof(d1_peterson, axiom,  (! [A] :  (l1_peterson(A) =>  (v2_peterson(A) <=>  ~ (u1_peterson(A)=u2_peterson(A)) ) ) ) ).
fof(d2_peterson, axiom,  (! [A] :  (l1_orders_2(A) =>  (v3_peterson(A) <=> r7_relat_2(u1_orders_2(A), u1_struct_0(A))) ) ) ).
fof(d3_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (! [B] :  (l2_peterson(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(u3_peterson(A, B))) =>  (! [D] :  (m1_subset_1(D, u5_peterson(A, B)) =>  (r1_peterson(A, B, C, D) <=> r2_tarski(C, k3_funct_2(u5_peterson(A, B), k9_setfam_1(u1_struct_0(u3_peterson(A, B))), u9_peterson(A, B), D))) ) ) ) ) ) ) ) ) ).
fof(d4_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (! [B] :  (l2_peterson(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(u3_peterson(A, B))) =>  (! [D] :  (m1_subset_1(D, u5_peterson(A, B)) =>  (r2_peterson(A, B, C, D) <=> r2_tarski(C, k3_funct_2(u5_peterson(A, B), k9_setfam_1(u1_struct_0(u3_peterson(A, B))), u10_peterson(A, B), D))) ) ) ) ) ) ) ) ) ).
fof(d5_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (! [B] :  (l2_peterson(B, A) =>  (! [C] :  (m1_subset_1(C, u5_peterson(A, B)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(u3_peterson(A, B)))) =>  (r3_peterson(A, B, C, D) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(u3_peterson(A, B))) &  (r2_tarski(E, D) & r1_peterson(A, B, E, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (! [B] :  (l2_peterson(B, A) =>  (! [C] :  (m1_subset_1(C, u5_peterson(A, B)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(u3_peterson(A, B)))) =>  (r4_peterson(A, B, C, D) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(u3_peterson(A, B))) &  (r2_tarski(E, D) & r2_peterson(A, B, E, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (! [B] :  (l2_peterson(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(u3_peterson(A, B))) =>  (! [D] :  (m1_subset_1(D, u6_peterson(A, B)) =>  (r5_peterson(A, B, C, D) <=> r2_tarski(C, k3_funct_2(u6_peterson(A, B), k9_setfam_1(u1_struct_0(u3_peterson(A, B))), u8_peterson(A, B), D))) ) ) ) ) ) ) ) ) ).
fof(d8_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (! [B] :  (l2_peterson(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(u3_peterson(A, B))) =>  (! [D] :  (m1_subset_1(D, u4_peterson(A, B)) =>  (r6_peterson(A, B, C, D) <=> r2_tarski(C, k3_funct_2(u4_peterson(A, B), k9_setfam_1(u1_struct_0(u3_peterson(A, B))), u7_peterson(A, B), D))) ) ) ) ) ) ) ) ) ).
fof(d9_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (! [B] :  (l2_peterson(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(u3_peterson(A, B))) => k1_peterson(A, B, C)=k1_funct_1(u11_peterson(A, B), C)) ) ) ) ) ) ).
fof(d10_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (! [B] :  (l2_peterson(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(u3_peterson(A, B))) =>  (! [D] :  (m1_subset_1(D, u4_peterson(A, B)) =>  (! [E] :  (m1_subset_1(E, u6_peterson(A, B)) =>  (r7_peterson(A, B, C, D, E) <=>  (r6_peterson(A, B, C, D) & r5_peterson(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (! [B] :  (l2_peterson(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(u3_peterson(A, B))) =>  (! [D] :  (m1_subset_1(D, u5_peterson(A, B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r8_peterson(A, B, C, D, E) <=>  (r2_peterson(A, B, C, D) & k1_peterson(A, B, C)=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (! [B] :  (l2_peterson(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(u3_peterson(A, B))) =>  (! [D] :  (m1_subset_1(D, u5_peterson(A, B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r9_peterson(A, B, C, D, E) <=>  (r1_peterson(A, B, C, D) & k1_peterson(A, B, C)=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (! [B] :  (l2_peterson(B, A) =>  (v5_peterson(B, A) <=>  (! [C] :  (m1_subset_1(C, u6_peterson(A, B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(u3_peterson(A, B))) =>  ~ ( (r5_peterson(A, B, D, C) &  (! [E] :  (m1_subset_1(E, u4_peterson(A, B)) =>  ~ (r6_peterson(A, B, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (! [B] :  (l2_peterson(B, A) =>  (v6_peterson(B, A) <=>  (! [C] :  (m1_subset_1(C, u4_peterson(A, B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(u3_peterson(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(u3_peterson(A, B))) =>  ( (r6_peterson(A, B, D, C) &  (r6_peterson(A, B, E, C) &  (r3_orders_2(u3_peterson(A, B), D, E) & r3_orders_2(u3_peterson(A, B), E, D)) ) )  => D=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (! [B] :  (l2_peterson(B, A) =>  (v7_peterson(B, A) <=>  (! [C] :  (m1_subset_1(C, u5_peterson(A, B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(u3_peterson(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(u3_peterson(A, B))) =>  ( (r3_orders_2(u3_peterson(A, B), D, E) & r3_orders_2(u3_peterson(A, B), E, D))  =>  ( ( ~ (r1_peterson(A, B, D, C))  &  ~ (r2_peterson(A, B, D, C)) )  |  ( ( ~ (r1_peterson(A, B, E, C))  &  ~ (r2_peterson(A, B, E, C)) )  | D=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (! [B] :  (l2_peterson(B, A) =>  (v8_peterson(B, A) <=>  (! [C] :  (m1_subset_1(C, u6_peterson(A, B)) =>  (! [D] :  (m1_subset_1(D, u5_peterson(A, B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(u3_peterson(A, B))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r5_peterson(A, B, E, C) &  (r1_peterson(A, B, E, D) &  (k1_peterson(A, B, E)=F &  (! [G] :  (m1_subset_1(G, u1_struct_0(u3_peterson(A, B))) =>  ~ ( (r5_peterson(A, B, G, C) &  (r2_orders_2(u3_peterson(A, B), G, E) &  (r2_peterson(A, B, G, D) &  (k1_peterson(A, B, G)=F &  (! [H] :  (m1_subset_1(H, u1_struct_0(u3_peterson(A, B))) =>  ( (r5_peterson(A, B, H, C) &  (r3_orders_2(u3_peterson(A, B), H, E) & r2_peterson(A, B, H, D)) )  => r3_orders_2(u3_peterson(A, B), H, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (! [B] :  (l2_peterson(B, A) =>  (v9_peterson(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(u3_peterson(A, B))) =>  (! [D] :  (m1_subset_1(D, u5_peterson(A, B)) =>  (! [E] :  (m1_subset_1(E, u5_peterson(A, B)) =>  ~ ( (r1_peterson(A, B, C, D) & r2_peterson(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (! [B] :  (l2_peterson(B, A) =>  (v10_peterson(B, A) <=>  (v5_peterson(B, A) &  (v6_peterson(B, A) &  (v7_peterson(B, A) &  (v8_peterson(B, A) & v9_peterson(B, A)) ) ) ) ) ) ) ) ) ).
fof(d19_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (! [B] :  ( (v10_peterson(B, A) & l2_peterson(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(u3_peterson(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(u3_peterson(A, B))) =>  (r10_peterson(A, B, C, D) <=>  (r3_orders_2(u3_peterson(A, B), C, D) &  ~ (r3_orders_2(u3_peterson(A, B), D, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (! [B] :  ( (v10_peterson(B, A) & l2_peterson(B, A))  =>  (! [C] :  (m1_subset_1(C, u4_peterson(A, B)) =>  (! [D] :  (m1_subset_1(D, u6_peterson(A, B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(u3_peterson(A, B))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(u3_peterson(A, B))) => r1_tarski(k3_peterson(A, B, E, F, C, D), k2_peterson(A, B, E, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (! [B] :  ( (v10_peterson(B, A) & l2_peterson(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(u3_peterson(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(u3_peterson(A, B))) =>  (r3_orders_2(u3_peterson(A, B), C, D) | r3_orders_2(u3_peterson(A, B), D, C)) ) ) ) ) ) ) ) ) ).
fof(t3_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (! [B] :  ( (v10_peterson(B, A) & l2_peterson(B, A))  =>  (! [C] :  (m1_subset_1(C, u4_peterson(A, B)) =>  (! [D] :  (m1_subset_1(D, u6_peterson(A, B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(u3_peterson(A, B))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(u3_peterson(A, B))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(u3_peterson(A, B))) =>  ( (r7_peterson(A, B, E, C, D) &  (r2_orders_2(u3_peterson(A, B), F, E) & r2_orders_2(u3_peterson(A, B), E, G)) )  => r2_tarski(E, k3_peterson(A, B, F, G, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (! [B] :  ( (v10_peterson(B, A) & l2_peterson(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(u3_peterson(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(u3_peterson(A, B))) =>  (r2_orders_2(u3_peterson(A, B), C, D) => r3_orders_2(u3_peterson(A, B), C, D)) ) ) ) ) ) ) ) ) ).
fof(t5_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (! [B] :  ( (v10_peterson(B, A) & l2_peterson(B, A))  =>  (! [C] :  (m1_subset_1(C, u4_peterson(A, B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(u3_peterson(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(u3_peterson(A, B))) =>  ( (r6_peterson(A, B, D, C) &  (r6_peterson(A, B, E, C) & r2_orders_2(u3_peterson(A, B), D, E)) )  => r10_peterson(A, B, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (! [B] :  ( (v10_peterson(B, A) & l2_peterson(B, A))  =>  (! [C] :  (m1_subset_1(C, u4_peterson(A, B)) =>  (! [D] :  (m1_subset_1(D, u6_peterson(A, B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(u3_peterson(A, B))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(u3_peterson(A, B))) =>  ( (r7_peterson(A, B, E, C, D) &  (r7_peterson(A, B, F, C, D) & r2_orders_2(u3_peterson(A, B), E, F)) )  => r10_peterson(A, B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (! [B] :  ( (v10_peterson(B, A) & l2_peterson(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(u3_peterson(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(u3_peterson(A, B))) =>  (r10_peterson(A, B, C, D) => r2_orders_2(u3_peterson(A, B), C, D)) ) ) ) ) ) ) ) ) ).
fof(t8_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (! [B] :  ( (v10_peterson(B, A) & l2_peterson(B, A))  =>  (! [C] :  (m1_subset_1(C, u4_peterson(A, B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(u3_peterson(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(u3_peterson(A, B))) =>  ~ ( (r6_peterson(A, B, D, C) &  (r6_peterson(A, B, E, C) &  ( ~ (D=E)  &  ( ~ (r10_peterson(A, B, D, E))  &  ~ (r10_peterson(A, B, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (! [B] :  ( (v10_peterson(B, A) & l2_peterson(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(u3_peterson(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(u3_peterson(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(u3_peterson(A, B))) =>  ( (r3_orders_2(u3_peterson(A, B), C, D) & r3_orders_2(u3_peterson(A, B), D, E))  => r3_orders_2(u3_peterson(A, B), C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (! [B] :  ( (v10_peterson(B, A) & l2_peterson(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(u3_peterson(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(u3_peterson(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(u3_peterson(A, B))) =>  ( (r3_orders_2(u3_peterson(A, B), C, D) & r10_peterson(A, B, D, E))  => r10_peterson(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (! [B] :  ( (v10_peterson(B, A) & l2_peterson(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(u3_peterson(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(u3_peterson(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(u3_peterson(A, B))) =>  ( (r10_peterson(A, B, C, D) & r3_orders_2(u3_peterson(A, B), D, E))  => r10_peterson(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (! [B] :  ( (v10_peterson(B, A) & l2_peterson(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(u3_peterson(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(u3_peterson(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(u3_peterson(A, B))) =>  ( (r10_peterson(A, B, C, D) & r10_peterson(A, B, D, E))  => r10_peterson(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d22_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (! [B] :  ( (v10_peterson(B, A) & l2_peterson(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(u3_peterson(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(u3_peterson(A, B))) =>  (r11_peterson(A, B, C, D) <=>  (r3_orders_2(u3_peterson(A, B), C, D) & r3_orders_2(u3_peterson(A, B), D, C)) ) ) ) ) ) ) ) ) ) ).
fof(t13_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (! [B] :  ( (v10_peterson(B, A) & l2_peterson(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(u3_peterson(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(u3_peterson(A, B))) =>  ~ ( ( ~ (r11_peterson(A, B, C, D))  &  ( ~ (r10_peterson(A, B, C, D))  &  ~ (r10_peterson(A, B, D, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d23_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (! [B] :  ( (v10_peterson(B, A) & l2_peterson(B, A))  =>  (! [C] :  (m1_subset_1(C, u4_peterson(A, B)) =>  (! [D] :  (m1_subset_1(D, u6_peterson(A, B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(u3_peterson(A, B))) =>  (! [F] :  (m1_subset_1(F, u5_peterson(A, B)) =>  (! [G] :  (m1_subset_1(G, u5_peterson(A, B)) =>  (! [H] :  (m1_subset_1(H, u5_peterson(A, B)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (r12_peterson(A, B, C, D, E, F, G, H, I, J) <=>  (? [K] :  (m1_subset_1(K, u1_struct_0(u3_peterson(A, B))) &  (? [L] :  (m1_subset_1(L, u1_struct_0(u3_peterson(A, B))) &  (? [M] :  (m1_subset_1(M, u1_struct_0(u3_peterson(A, B))) &  (r7_peterson(A, B, K, C, D) &  (r7_peterson(A, B, L, C, D) &  (r7_peterson(A, B, M, C, D) &  (r2_orders_2(u3_peterson(A, B), K, L) &  (r2_orders_2(u3_peterson(A, B), L, M) &  (r2_orders_2(u3_peterson(A, B), M, E) &  (r8_peterson(A, B, K, F, u1_peterson(A)) &  ( ~ (r4_peterson(A, B, F, k3_peterson(A, B, K, E, C, D)))  &  (r8_peterson(A, B, L, H, J) &  ( ~ (r4_peterson(A, B, H, k3_peterson(A, B, L, E, C, D)))  &  (r9_peterson(A, B, M, G, u2_peterson(A)) | r9_peterson(A, B, M, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d24_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (! [B] :  ( (v10_peterson(B, A) & l2_peterson(B, A))  =>  (! [C] :  (m1_subset_1(C, u6_peterson(A, B)) =>  (! [D] :  (r13_peterson(A, B, C, D) <=>  (? [E] :  (m1_subset_1(E, u4_peterson(A, B)) &  (? [F] :  (m1_subset_1(F, u4_peterson(A, B)) &  ( (! [G] :  (m1_subset_1(G, u4_peterson(A, B)) =>  (G=E | G=F) ) )  &  (? [G] :  (m1_subset_1(G, u5_peterson(A, B)) &  (? [H] :  (m1_subset_1(H, u5_peterson(A, B)) &  (? [I] :  (m1_subset_1(I, u5_peterson(A, B)) &  ( (! [J] :  (m1_subset_1(J, u1_struct_0(u3_peterson(A, B))) =>  (r7_peterson(A, B, J, E, C) =>  ( ~ (r2_peterson(A, B, J, H))  &  ~ (r8_peterson(A, B, J, I, u2_peterson(A))) ) ) ) )  &  ( (! [J] :  (m1_subset_1(J, u1_struct_0(u3_peterson(A, B))) =>  (r7_peterson(A, B, J, F, C) =>  ( ~ (r2_peterson(A, B, J, G))  &  ~ (r8_peterson(A, B, J, I, u1_peterson(A))) ) ) ) )  &  (! [J] :  (m1_subset_1(J, u1_struct_0(u3_peterson(A, B))) =>  (r2_tarski(J, D) =>  (r12_peterson(A, B, E, C, J, G, H, I, u2_peterson(A), u1_peterson(A)) & r12_peterson(A, B, F, C, J, H, G, I, u1_peterson(A), u2_peterson(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v10_peterson(D, A) & l2_peterson(D, A))  =>  (! [E] :  (m1_subset_1(E, u5_peterson(A, D)) =>  (! [F] :  (m1_subset_1(F, u6_peterson(A, D)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(u3_peterson(A, D))) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(u3_peterson(A, D))) =>  ~ ( (r5_peterson(A, D, G, F) &  (r5_peterson(A, D, H, F) &  (r9_peterson(A, D, G, E, B) &  (r9_peterson(A, D, H, E, C) &  (r3_orders_2(u3_peterson(A, D), G, H) &  ( ~ (B=C)  &  (! [I] :  (m1_subset_1(I, u1_struct_0(u3_peterson(A, D))) =>  ~ ( (r5_peterson(A, D, I, F) &  (r10_peterson(A, D, G, I) &  (r10_peterson(A, D, I, H) & r8_peterson(A, D, I, E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (! [B] :  ( (v10_peterson(B, A) & l2_peterson(B, A))  =>  (! [C] :  (m1_subset_1(C, u6_peterson(A, B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(u3_peterson(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(u3_peterson(A, B))) =>  ~ ( (r5_peterson(A, B, D, C) &  (r5_peterson(A, B, E, C) &  (r13_peterson(A, B, C, k2_tarski(D, E)) &  ( ~ (D=E)  &  ( ~ (r10_peterson(A, B, D, E))  &  ~ (r10_peterson(A, B, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(abstractness_v1_peterson, axiom,  (! [A] :  (l1_peterson(A) =>  (v1_peterson(A) => A=g1_peterson(u1_struct_0(A), u1_peterson(A), u2_peterson(A))) ) ) ).
fof(dt_l1_peterson, axiom,  (! [A] :  (l1_peterson(A) => l1_struct_0(A)) ) ).
fof(existence_l1_peterson, axiom,  (? [A] : l1_peterson(A)) ).
fof(dt_g1_peterson, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, A) & m1_subset_1(C, A))  =>  (v1_peterson(g1_peterson(A, B, C)) & l1_peterson(g1_peterson(A, B, C))) ) ) ).
fof(free_g1_peterson, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, A) & m1_subset_1(C, A))  =>  (! [D, E, F] :  (g1_peterson(A, B, C)=g1_peterson(D, E, F) =>  (A=D &  (B=E & C=F) ) ) ) ) ) ).
fof(dt_u1_peterson, axiom,  (! [A] :  (l1_peterson(A) => m1_subset_1(u1_peterson(A), u1_struct_0(A))) ) ).
fof(dt_u2_peterson, axiom,  (! [A] :  (l1_peterson(A) => m1_subset_1(u2_peterson(A), u1_struct_0(A))) ) ).
fof(abstractness_v4_peterson, axiom,  (! [A, B] :  ( ( (v2_peterson(A) & l1_peterson(A))  & l2_peterson(B, A))  =>  (v4_peterson(B, A) => B=g2_peterson(A, u3_peterson(A, B), u4_peterson(A, B), u5_peterson(A, B), u6_peterson(A, B), u7_peterson(A, B), u8_peterson(A, B), u9_peterson(A, B), u10_peterson(A, B), u11_peterson(A, B))) ) ) ).
fof(existence_l2_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (? [B] : l2_peterson(B, A)) ) ) ).
fof(dt_g2_peterson, axiom,  (! [A, B, C, D, E, F, G, H, I, J] :  ( ( (v2_peterson(A) & l1_peterson(A))  &  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v3_peterson(B) & l1_orders_2(B)) ) ) )  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( ~ (v1_xboole_0(E))  &  ( (v1_funct_1(F) &  (v1_funct_2(F, C, k9_setfam_1(u1_struct_0(B))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, k9_setfam_1(u1_struct_0(B)))))) )  &  ( (v1_funct_1(G) &  (v1_funct_2(G, E, k9_setfam_1(u1_struct_0(B))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(E, k9_setfam_1(u1_struct_0(B)))))) )  &  ( (v1_funct_1(H) &  (v1_funct_2(H, D, k9_setfam_1(u1_struct_0(B))) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(D, k9_setfam_1(u1_struct_0(B)))))) )  &  ( (v1_funct_1(I) &  (v1_funct_2(I, D, k9_setfam_1(u1_struct_0(B))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(D, k9_setfam_1(u1_struct_0(B)))))) )  &  (v1_funct_1(J) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) ) ) ) ) ) ) ) )  =>  (v4_peterson(g2_peterson(A, B, C, D, E, F, G, H, I, J), A) & l2_peterson(g2_peterson(A, B, C, D, E, F, G, H, I, J), A)) ) ) ).
fof(free_g2_peterson, axiom,  (! [A, B, C, D, E, F, G, H, I, J] :  ( ( (v2_peterson(A) & l1_peterson(A))  &  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v3_peterson(B) & l1_orders_2(B)) ) ) )  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( ~ (v1_xboole_0(E))  &  ( (v1_funct_1(F) &  (v1_funct_2(F, C, k9_setfam_1(u1_struct_0(B))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, k9_setfam_1(u1_struct_0(B)))))) )  &  ( (v1_funct_1(G) &  (v1_funct_2(G, E, k9_setfam_1(u1_struct_0(B))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(E, k9_setfam_1(u1_struct_0(B)))))) )  &  ( (v1_funct_1(H) &  (v1_funct_2(H, D, k9_setfam_1(u1_struct_0(B))) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(D, k9_setfam_1(u1_struct_0(B)))))) )  &  ( (v1_funct_1(I) &  (v1_funct_2(I, D, k9_setfam_1(u1_struct_0(B))) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(D, k9_setfam_1(u1_struct_0(B)))))) )  &  (v1_funct_1(J) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) ) ) ) ) ) ) ) )  =>  (! [K, L, M, N, O, P, Q, R, S, T] :  (g2_peterson(A, B, C, D, E, F, G, H, I, J)=g2_peterson(K, L, M, N, O, P, Q, R, S, T) =>  (A=K &  (B=L &  (C=M &  (D=N &  (E=O &  (F=P &  (G=Q &  (H=R &  (I=S & J=T) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_u3_peterson, axiom,  (! [A, B] :  ( ( (v2_peterson(A) & l1_peterson(A))  & l2_peterson(B, A))  =>  ( ~ (v2_struct_0(u3_peterson(A, B)))  &  (v3_orders_2(u3_peterson(A, B)) &  (v4_orders_2(u3_peterson(A, B)) &  (v3_peterson(u3_peterson(A, B)) & l1_orders_2(u3_peterson(A, B))) ) ) ) ) ) ).
fof(dt_u4_peterson, axiom,  (! [A, B] :  ( ( (v2_peterson(A) & l1_peterson(A))  & l2_peterson(B, A))  =>  ~ (v1_xboole_0(u4_peterson(A, B))) ) ) ).
fof(dt_u5_peterson, axiom,  (! [A, B] :  ( ( (v2_peterson(A) & l1_peterson(A))  & l2_peterson(B, A))  =>  ~ (v1_xboole_0(u5_peterson(A, B))) ) ) ).
fof(dt_u6_peterson, axiom,  (! [A, B] :  ( ( (v2_peterson(A) & l1_peterson(A))  & l2_peterson(B, A))  =>  ~ (v1_xboole_0(u6_peterson(A, B))) ) ) ).
fof(dt_u7_peterson, axiom,  (! [A, B] :  ( ( (v2_peterson(A) & l1_peterson(A))  & l2_peterson(B, A))  =>  (v1_funct_1(u7_peterson(A, B)) &  (v1_funct_2(u7_peterson(A, B), u4_peterson(A, B), k9_setfam_1(u1_struct_0(u3_peterson(A, B)))) & m1_subset_1(u7_peterson(A, B), k1_zfmisc_1(k2_zfmisc_1(u4_peterson(A, B), k9_setfam_1(u1_struct_0(u3_peterson(A, B))))))) ) ) ) ).
fof(dt_u8_peterson, axiom,  (! [A, B] :  ( ( (v2_peterson(A) & l1_peterson(A))  & l2_peterson(B, A))  =>  (v1_funct_1(u8_peterson(A, B)) &  (v1_funct_2(u8_peterson(A, B), u6_peterson(A, B), k9_setfam_1(u1_struct_0(u3_peterson(A, B)))) & m1_subset_1(u8_peterson(A, B), k1_zfmisc_1(k2_zfmisc_1(u6_peterson(A, B), k9_setfam_1(u1_struct_0(u3_peterson(A, B))))))) ) ) ) ).
fof(dt_u9_peterson, axiom,  (! [A, B] :  ( ( (v2_peterson(A) & l1_peterson(A))  & l2_peterson(B, A))  =>  (v1_funct_1(u9_peterson(A, B)) &  (v1_funct_2(u9_peterson(A, B), u5_peterson(A, B), k9_setfam_1(u1_struct_0(u3_peterson(A, B)))) & m1_subset_1(u9_peterson(A, B), k1_zfmisc_1(k2_zfmisc_1(u5_peterson(A, B), k9_setfam_1(u1_struct_0(u3_peterson(A, B))))))) ) ) ) ).
fof(dt_u10_peterson, axiom,  (! [A, B] :  ( ( (v2_peterson(A) & l1_peterson(A))  & l2_peterson(B, A))  =>  (v1_funct_1(u10_peterson(A, B)) &  (v1_funct_2(u10_peterson(A, B), u5_peterson(A, B), k9_setfam_1(u1_struct_0(u3_peterson(A, B)))) & m1_subset_1(u10_peterson(A, B), k1_zfmisc_1(k2_zfmisc_1(u5_peterson(A, B), k9_setfam_1(u1_struct_0(u3_peterson(A, B))))))) ) ) ) ).
fof(dt_u11_peterson, axiom,  (! [A, B] :  ( ( (v2_peterson(A) & l1_peterson(A))  & l2_peterson(B, A))  =>  (v1_funct_1(u11_peterson(A, B)) & m1_subset_1(u11_peterson(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(u3_peterson(A, B)), u1_struct_0(A))))) ) ) ).
fof(dt_k2_peterson, axiom,  (! [A, B, C, D] :  ( ( (v2_peterson(A) & l1_peterson(A))  &  ( (v10_peterson(B, A) & l2_peterson(B, A))  &  (m1_subset_1(C, u1_struct_0(u3_peterson(A, B))) & m1_subset_1(D, u1_struct_0(u3_peterson(A, B)))) ) )  => m1_subset_1(k2_peterson(A, B, C, D), k1_zfmisc_1(u1_struct_0(u3_peterson(A, B))))) ) ).
fof(dt_k3_peterson, axiom,  (! [A, B, C, D, E, F] :  ( ( (v2_peterson(A) & l1_peterson(A))  &  ( (v10_peterson(B, A) & l2_peterson(B, A))  &  (m1_subset_1(C, u1_struct_0(u3_peterson(A, B))) &  (m1_subset_1(D, u1_struct_0(u3_peterson(A, B))) &  (m1_subset_1(E, u4_peterson(A, B)) & m1_subset_1(F, u6_peterson(A, B))) ) ) ) )  => m1_subset_1(k3_peterson(A, B, C, D, E, F), k1_zfmisc_1(u1_struct_0(u3_peterson(A, B))))) ) ).
fof(d20_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (! [B] :  ( (v10_peterson(B, A) & l2_peterson(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(u3_peterson(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(u3_peterson(A, B))) => k2_peterson(A, B, C, D)=a_4_0_peterson(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(d21_peterson, axiom,  (! [A] :  ( (v2_peterson(A) & l1_peterson(A))  =>  (! [B] :  ( (v10_peterson(B, A) & l2_peterson(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(u3_peterson(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(u3_peterson(A, B))) =>  (! [E] :  (m1_subset_1(E, u4_peterson(A, B)) =>  (! [F] :  (m1_subset_1(F, u6_peterson(A, B)) => k3_peterson(A, B, C, D, E, F)=a_6_0_peterson(A, B, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_peterson, axiom,  (! [A, B, C, D, E] :  ( ( (v2_peterson(B) & l1_peterson(B))  &  ( (v10_peterson(C, B) & l2_peterson(C, B))  &  (m1_subset_1(D, u1_struct_0(u3_peterson(B, C))) & m1_subset_1(E, u1_struct_0(u3_peterson(B, C)))) ) )  =>  (r2_hidden(A, a_4_0_peterson(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(u3_peterson(B, C))) &  (A=F &  (r2_orders_2(u3_peterson(B, C), D, F) & r2_orders_2(u3_peterson(B, C), F, E)) ) ) ) ) ) ) ).
fof(fraenkel_a_6_0_peterson, axiom,  (! [A, B, C, D, E, F, G] :  ( ( (v2_peterson(B) & l1_peterson(B))  &  ( (v10_peterson(C, B) & l2_peterson(C, B))  &  (m1_subset_1(D, u1_struct_0(u3_peterson(B, C))) &  (m1_subset_1(E, u1_struct_0(u3_peterson(B, C))) &  (m1_subset_1(F, u4_peterson(B, C)) & m1_subset_1(G, u6_peterson(B, C))) ) ) ) )  =>  (r2_hidden(A, a_6_0_peterson(B, C, D, E, F, G)) <=>  (? [H] :  (m1_subset_1(H, u1_struct_0(u3_peterson(B, C))) &  (A=H &  (r2_orders_2(u3_peterson(B, C), D, H) &  (r2_orders_2(u3_peterson(B, C), H, E) & r7_peterson(B, C, H, F, G)) ) ) ) ) ) ) ) ).
fof(rc1_petri, axiom,  (? [A] :  (l1_petri(A) & v1_petri(A)) ) ).
fof(fc1_petri, axiom,  ( ~ (v2_struct_0(k1_petri))  &  ( ~ (v11_struct_0(k1_petri))  &  (v1_petri(k1_petri) &  (v2_petri(k1_petri) & v3_petri(k1_petri)) ) ) ) ).
fof(rc2_petri, axiom,  (? [A] :  (l1_petri(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v1_petri(A) &  (v2_petri(A) & v3_petri(A)) ) ) ) ) ) ).
fof(fc2_petri, axiom,  (! [A] :  ( (v2_petri(A) & l1_petri(A))  =>  ~ (v1_xboole_0(u1_petri(A))) ) ) ).
fof(fc3_petri, axiom,  (! [A] :  ( (v3_petri(A) & l1_petri(A))  =>  ~ (v1_xboole_0(u2_petri(A))) ) ) ).
fof(rc3_petri, axiom,  (? [A] :  (l1_petri(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v14_struct_0(A) &  (v2_petri(A) &  (v3_petri(A) & v5_petri(A)) ) ) ) ) ) ) ).
fof(rc4_petri, axiom,  (? [A] :  (l1_petri(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v14_struct_0(A) &  (v2_petri(A) &  (v3_petri(A) & v7_petri(A)) ) ) ) ) ) ) ).
fof(fc4_petri, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  ( ~ (v2_struct_0(k11_petri(A)))  &  ( ~ (v11_struct_0(k11_petri(A)))  &  (v1_petri(k11_petri(A)) &  (v2_petri(k11_petri(A)) & v3_petri(k11_petri(A))) ) ) ) ) ) ).
fof(d1_petri, axiom,  (! [A] :  (l1_petri(A) =>  (v2_petri(A) <=>  ~ (v1_xboole_0(u1_petri(A))) ) ) ) ).
fof(d2_petri, axiom,  (! [A] :  (l1_petri(A) =>  (v3_petri(A) <=>  ~ (v1_xboole_0(u2_petri(A))) ) ) ) ).
fof(d3_petri, axiom, k1_petri=g1_petri(k1_tarski(k1_xboole_0), k1_tarski(k1_xboole_0), k2_partit_2(k1_tarski(k1_xboole_0), k1_tarski(k1_xboole_0)), k2_partit_2(k1_tarski(k1_xboole_0), k1_tarski(k1_xboole_0)))).
fof(t2_petri, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (r2_hidden(C, k6_petri(A, B)) <=>  (? [D] :  (m1_petri(D, u4_struct_0(A), u1_struct_0(A), u2_petri(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (r2_tarski(E, B) & D=k4_tarski(C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_petri, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (r2_hidden(C, k7_petri(A, B)) <=>  (? [D] :  (m1_petri(D, u1_struct_0(A), u4_struct_0(A), u1_petri(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (r2_tarski(E, B) & D=k4_tarski(E, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_petri, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u4_struct_0(A))) =>  (! [C] :  (r2_tarski(C, k8_petri(A, B)) <=>  (? [D] :  (m1_petri(D, u1_struct_0(A), u4_struct_0(A), u1_petri(A)) &  (? [E] :  (m1_subset_1(E, u4_struct_0(A)) &  (r2_tarski(E, B) & D=k4_tarski(C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_petri, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u4_struct_0(A))) =>  (! [C] :  (r2_tarski(C, k9_petri(A, B)) <=>  (? [D] :  (m1_petri(D, u4_struct_0(A), u1_struct_0(A), u2_petri(A)) &  (? [E] :  (m1_subset_1(E, u4_struct_0(A)) &  (r2_tarski(E, B) & D=k4_tarski(E, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_petri, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  => k6_petri(A, k1_subset_1(u1_struct_0(A)))=k1_xboole_0) ) ).
fof(t10_petri, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  => k7_petri(A, k1_subset_1(u1_struct_0(A)))=k1_xboole_0) ) ).
fof(t11_petri, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  => k8_petri(A, k1_subset_1(u4_struct_0(A)))=k1_xboole_0) ) ).
fof(t12_petri, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  => k9_petri(A, k1_subset_1(u4_struct_0(A)))=k1_xboole_0) ) ).
fof(d8_petri, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v4_petri(B, A) <=> m1_subset_1(k6_petri(A, B), k1_zfmisc_1(k7_petri(A, B)))) ) ) ) ) ).
fof(d9_petri, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (v5_petri(A) <=>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v4_petri(B, A)) ) ) ) ) ).
fof(d10_petri, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v6_petri(B, A) <=> m1_subset_1(k7_petri(A, B), k1_zfmisc_1(k6_petri(A, B)))) ) ) ) ) ).
fof(d11_petri, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (v7_petri(A) <=>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v6_petri(B, A)) ) ) ) ) ).
fof(d12_petri, axiom,  (! [A] :  (l1_petri(A) => k11_petri(A)=g1_petri(u1_struct_0(A), u4_struct_0(A), k3_relset_1(u4_struct_0(A), u1_struct_0(A), u2_petri(A)), k3_relset_1(u1_struct_0(A), u4_struct_0(A), u1_petri(A)))) ) ).
fof(t13_petri, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  => k11_petri(k11_petri(A))=g1_petri(u1_struct_0(A), u4_struct_0(A), u1_petri(A), u2_petri(A))) ) ).
fof(t14_petri, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (u1_struct_0(A)=u1_struct_0(k11_petri(A)) &  (u4_struct_0(A)=u4_struct_0(k11_petri(A)) &  (k10_petri(u1_struct_0(A), u4_struct_0(A), u1_petri(A))=u2_petri(k11_petri(A)) & k10_petri(u4_struct_0(A), u1_struct_0(A), u2_petri(A))=u1_petri(k11_petri(A))) ) ) ) ) ).
fof(d13_petri, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k12_petri(A, B)=B) ) ) ) ).
fof(d14_petri, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k13_petri(A, B)=B) ) ) ) ).
fof(d15_petri, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k11_petri(A)))) => k14_petri(A, B)=B) ) ) ) ).
fof(d16_petri, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k11_petri(A))) => k15_petri(A, B)=B) ) ) ) ).
fof(d17_petri, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u4_struct_0(A))) => k16_petri(A, B)=B) ) ) ) ).
fof(d18_petri, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) => k17_petri(A, B)=B) ) ) ) ).
fof(d19_petri, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u4_struct_0(k11_petri(A)))) => k18_petri(A, B)=B) ) ) ) ).
fof(d20_petri, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(k11_petri(A))) => k19_petri(A, B)=B) ) ) ) ).
fof(t15_petri, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k7_petri(k11_petri(A), k12_petri(A, B))=k6_petri(A, B)) ) ) ) ).
fof(t16_petri, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k6_petri(k11_petri(A), k12_petri(A, B))=k7_petri(A, B)) ) ) ) ).
fof(t17_petri, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v4_petri(B, A) <=> v6_petri(k12_petri(A, B), k11_petri(A))) ) ) ) ) ).
fof(t18_petri, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v6_petri(B, A) <=> v4_petri(k12_petri(A, B), k11_petri(A))) ) ) ) ) ).
fof(t19_petri, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(B, k7_petri(A, C)) <=>  ~ (r1_xboole_0(k8_petri(A, k6_domain_1(u4_struct_0(A), B)), C)) ) ) ) ) ) ) ) ).
fof(t20_petri, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(B, k6_petri(A, C)) <=>  ~ (r1_xboole_0(k9_petri(A, k6_domain_1(u4_struct_0(A), B)), C)) ) ) ) ) ) ) ) ).
fof(dt_m1_petri, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (! [D] :  (m1_petri(D, A, B, C) => m1_subset_1(D, k2_zfmisc_1(A, B))) ) ) ) ).
fof(existence_m1_petri, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (? [D] : m1_petri(D, A, B, C)) ) ) ).
fof(redefinition_m1_petri, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (! [D] :  (m1_petri(D, A, B, C) <=> m1_subset_1(D, C)) ) ) ) ).
fof(abstractness_v1_petri, axiom,  (! [A] :  (l1_petri(A) =>  (v1_petri(A) => A=g1_petri(u1_struct_0(A), u4_struct_0(A), u1_petri(A), u2_petri(A))) ) ) ).
fof(dt_l1_petri, axiom,  (! [A] :  (l1_petri(A) => l5_struct_0(A)) ) ).
fof(existence_l1_petri, axiom,  (? [A] : l1_petri(A)) ).
fof(dt_g1_petri, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A))))  =>  (v1_petri(g1_petri(A, B, C, D)) & l1_petri(g1_petri(A, B, C, D))) ) ) ).
fof(free_g1_petri, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A))))  =>  (! [E, F, G, H] :  (g1_petri(A, B, C, D)=g1_petri(E, F, G, H) =>  (A=E &  (B=F &  (C=G & D=H) ) ) ) ) ) ) ).
fof(dt_u1_petri, axiom,  (! [A] :  (l1_petri(A) => m1_subset_1(u1_petri(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u4_struct_0(A))))) ) ).
fof(dt_u2_petri, axiom,  (! [A] :  (l1_petri(A) => m1_subset_1(u2_petri(A), k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), u1_struct_0(A))))) ) ).
fof(dt_k1_petri, axiom, l1_petri(k1_petri)).
fof(dt_k2_petri, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  & m1_subset_1(B, u1_petri(A)))  => m1_subset_1(k2_petri(A, B), u1_struct_0(A))) ) ).
fof(redefinition_k2_petri, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  & m1_subset_1(B, u1_petri(A)))  => k2_petri(A, B)=k1_xtuple_0(B)) ) ).
fof(dt_k3_petri, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  & m1_subset_1(B, u1_petri(A)))  => m1_subset_1(k3_petri(A, B), u4_struct_0(A))) ) ).
fof(redefinition_k3_petri, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  & m1_subset_1(B, u1_petri(A)))  => k3_petri(A, B)=k2_xtuple_0(B)) ) ).
fof(dt_k4_petri, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  & m1_subset_1(B, u2_petri(A)))  => m1_subset_1(k4_petri(A, B), u4_struct_0(A))) ) ).
fof(redefinition_k4_petri, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  & m1_subset_1(B, u2_petri(A)))  => k4_petri(A, B)=k1_xtuple_0(B)) ) ).
fof(dt_k5_petri, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  & m1_subset_1(B, u2_petri(A)))  => m1_subset_1(k5_petri(A, B), u1_struct_0(A))) ) ).
fof(redefinition_k5_petri, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  & m1_subset_1(B, u2_petri(A)))  => k5_petri(A, B)=k2_xtuple_0(B)) ) ).
fof(dt_k6_petri, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k6_petri(A, B), k1_zfmisc_1(u4_struct_0(A)))) ) ).
fof(dt_k7_petri, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k7_petri(A, B), k1_zfmisc_1(u4_struct_0(A)))) ) ).
fof(dt_k8_petri, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u4_struct_0(A))))  => m1_subset_1(k8_petri(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k9_petri, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u4_struct_0(A))))  => m1_subset_1(k9_petri(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k10_petri, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  ( ~ (v1_xboole_0(k10_petri(A, B, C)))  & m1_subset_1(k10_petri(A, B, C), k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) ).
fof(involutiveness_k10_petri, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  => k10_petri(A, B, k10_petri(A, B, C))=C) ) ).
fof(redefinition_k10_petri, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  => k10_petri(A, B, C)=k2_relat_1(C)) ) ).
fof(dt_k11_petri, axiom,  (! [A] :  (l1_petri(A) =>  (v1_petri(k11_petri(A)) & l1_petri(k11_petri(A))) ) ) ).
fof(dt_k12_petri, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k12_petri(A, B), k1_zfmisc_1(u1_struct_0(k11_petri(A))))) ) ).
fof(dt_k13_petri, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k13_petri(A, B), u1_struct_0(k11_petri(A)))) ) ).
fof(dt_k14_petri, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k11_petri(A)))))  => m1_subset_1(k14_petri(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k15_petri, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  & m1_subset_1(B, u1_struct_0(k11_petri(A))))  => m1_subset_1(k15_petri(A, B), u1_struct_0(A))) ) ).
fof(dt_k16_petri, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u4_struct_0(A))))  => m1_subset_1(k16_petri(A, B), k1_zfmisc_1(u4_struct_0(k11_petri(A))))) ) ).
fof(dt_k17_petri, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  & m1_subset_1(B, u4_struct_0(A)))  => m1_subset_1(k17_petri(A, B), u4_struct_0(k11_petri(A)))) ) ).
fof(dt_k18_petri, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u4_struct_0(k11_petri(A)))))  => m1_subset_1(k18_petri(A, B), k1_zfmisc_1(u4_struct_0(A)))) ) ).
fof(dt_k19_petri, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  & m1_subset_1(B, u4_struct_0(k11_petri(A))))  => m1_subset_1(k19_petri(A, B), u4_struct_0(A))) ) ).
fof(d4_petri, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k6_petri(A, B)=a_2_0_petri(A, B)) ) ) ) ).
fof(d5_petri, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k7_petri(A, B)=a_2_1_petri(A, B)) ) ) ) ).
fof(t1_petri, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k6_petri(A, B)=a_2_2_petri(A, B)) ) ) ) ).
fof(t3_petri, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k7_petri(A, B)=a_2_3_petri(A, B)) ) ) ) ).
fof(d6_petri, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u4_struct_0(A))) => k8_petri(A, B)=a_2_4_petri(A, B)) ) ) ) ).
fof(d7_petri, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u4_struct_0(A))) => k9_petri(A, B)=a_2_5_petri(A, B)) ) ) ) ).
fof(t5_petri, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u4_struct_0(A))) => k8_petri(A, B)=a_2_6_petri(A, B)) ) ) ) ).
fof(t7_petri, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u4_struct_0(A))) => k9_petri(A, B)=a_2_7_petri(A, B)) ) ) ) ).
fof(fraenkel_a_2_0_petri, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_petri(B) &  (v3_petri(B) & l1_petri(B)) ) ) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_0_petri(B, C)) <=>  (? [D] :  (m1_subset_1(D, u4_struct_0(B)) &  (A=D &  (? [E] :  (m1_petri(E, u4_struct_0(B), u1_struct_0(B), u2_petri(B)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (r2_tarski(F, C) & E=k1_domain_1(u4_struct_0(B), u1_struct_0(B), D, F)) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_petri, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_petri(B) &  (v3_petri(B) & l1_petri(B)) ) ) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_1_petri(B, C)) <=>  (? [D] :  (m1_subset_1(D, u4_struct_0(B)) &  (A=D &  (? [E] :  (m1_petri(E, u1_struct_0(B), u4_struct_0(B), u1_petri(B)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (r2_tarski(F, C) & E=k1_domain_1(u1_struct_0(B), u4_struct_0(B), F, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_2_petri, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_petri(B) &  (v3_petri(B) & l1_petri(B)) ) ) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_2_petri(B, C)) <=>  (? [D] :  (m1_petri(D, u4_struct_0(B), u1_struct_0(B), u2_petri(B)) &  (A=k4_petri(B, D) & r2_tarski(k5_petri(B, D), C)) ) ) ) ) ) ).
fof(fraenkel_a_2_3_petri, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_petri(B) &  (v3_petri(B) & l1_petri(B)) ) ) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_3_petri(B, C)) <=>  (? [D] :  (m1_petri(D, u1_struct_0(B), u4_struct_0(B), u1_petri(B)) &  (A=k3_petri(B, D) & r2_tarski(k2_petri(B, D), C)) ) ) ) ) ) ).
fof(fraenkel_a_2_4_petri, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_petri(B) &  (v3_petri(B) & l1_petri(B)) ) ) )  & m1_subset_1(C, k1_zfmisc_1(u4_struct_0(B))))  =>  (r2_hidden(A, a_2_4_petri(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D &  (? [E] :  (m1_petri(E, u1_struct_0(B), u4_struct_0(B), u1_petri(B)) &  (? [F] :  (m1_subset_1(F, u4_struct_0(B)) &  (r2_tarski(F, C) & E=k1_domain_1(u1_struct_0(B), u4_struct_0(B), D, F)) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_5_petri, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_petri(B) &  (v3_petri(B) & l1_petri(B)) ) ) )  & m1_subset_1(C, k1_zfmisc_1(u4_struct_0(B))))  =>  (r2_hidden(A, a_2_5_petri(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D &  (? [E] :  (m1_petri(E, u4_struct_0(B), u1_struct_0(B), u2_petri(B)) &  (? [F] :  (m1_subset_1(F, u4_struct_0(B)) &  (r2_tarski(F, C) & E=k1_domain_1(u4_struct_0(B), u1_struct_0(B), F, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_6_petri, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_petri(B) &  (v3_petri(B) & l1_petri(B)) ) ) )  & m1_subset_1(C, k1_zfmisc_1(u4_struct_0(B))))  =>  (r2_hidden(A, a_2_6_petri(B, C)) <=>  (? [D] :  (m1_petri(D, u1_struct_0(B), u4_struct_0(B), u1_petri(B)) &  (A=k2_petri(B, D) & r2_tarski(k3_petri(B, D), C)) ) ) ) ) ) ).
fof(fraenkel_a_2_7_petri, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_petri(B) &  (v3_petri(B) & l1_petri(B)) ) ) )  & m1_subset_1(C, k1_zfmisc_1(u4_struct_0(B))))  =>  (r2_hidden(A, a_2_7_petri(B, C)) <=>  (? [D] :  (m1_petri(D, u4_struct_0(B), u1_struct_0(B), u2_petri(B)) &  (A=k5_petri(B, D) & r2_tarski(k4_petri(B, D), C)) ) ) ) ) ) ).
fof(rc1_petri_2, axiom,  (? [A] :  (l1_petri_2(A) & v1_petri_2(A)) ) ).
fof(fc1_petri_2, axiom,  ( ~ (v2_struct_0(k7_petri_2))  &  ( ~ (v11_struct_0(k7_petri_2))  &  (v2_petri(k7_petri_2) & v3_petri(k7_petri_2)) ) ) ).
fof(rc2_petri_2, axiom,  (? [A] :  (l1_petri_2(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) & v3_petri(A)) ) ) ) ) ).
fof(rc3_petri_2, axiom,  (? [A] :  (l1_petri_2(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v14_struct_0(A) &  (v2_petri(A) &  (v3_petri(A) &  (v1_petri_2(A) & v3_petri_2(A)) ) ) ) ) ) ) ) ).
fof(d2_petri_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, A))))  =>  (m1_petri_2(C, A, B) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) &  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, D, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(D, A)))) )  &  (v1_finset_1(D) & C=k1_petri_2(A, B, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_petri_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (! [D] :  (m1_petri_2(D, A, C) =>  ~ ( (r1_tarski(A, B) &  (! [E] :  (m1_petri_2(E, B, C) =>  ~ (r1_tarski(D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_petri_2, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, C, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, A)))) )  =>  (! [E] :  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, E, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(E, A)))) )  =>  ( (r1_tarski(C, B) &  (r1_tarski(E, B) & k1_petri_2(A, B, C, D)=k1_petri_2(A, B, E, F)) )  =>  (C=E & r1_funct_2(C, A, E, A, D, F)) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_petri_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (! [D] :  ~ ( (r1_tarski(A, B) &  (r1_tarski(C, D) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_petri_2(A, C), k2_petri_2(B, D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_petri_2(A, C), k2_petri_2(B, D))))) )  =>  (? [F] :  (r2_tarski(F, k2_petri_2(A, C)) &  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(C)) =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, G, A) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(G, A)))) )  =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, G, B) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(G, B)))) )  =>  ~ ( (v1_finset_1(G) &  (r1_funct_2(G, A, G, B, H, I) &  (F=k1_petri_2(A, C, G, H) & k1_funct_1(E, F)=k1_petri_2(B, D, G, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_petri_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (! [D] :  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_petri_2(B, D), k2_petri_2(A, C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_petri_2(B, D), k2_petri_2(A, C))))) )  &  (! [F] :  ~ ( (r2_tarski(F, k2_petri_2(B, D)) &  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(D)) =>  (! [H] :  (m1_subset_1(H, k1_zfmisc_1(C)) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, H, A) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(H, A)))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, G, B) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(G, B)))) )  =>  ~ ( (v1_finset_1(H) &  (v1_finset_1(G) &  (H=k8_subset_1(D, k9_subset_1(D, C, G), k8_relat_1(J, A)) &  (I=k2_partfun1(G, B, J, H) &  (F=k1_petri_2(B, D, G, J) & k1_funct_1(E, F)=k1_petri_2(A, C, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_petri_2, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  (! [B] :  ( ~ (v1_zfmisc_1(B))  =>  (! [C] :  (! [D] :  ( (r1_tarski(A, B) & r1_tarski(C, D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_petri_2(A, C), k2_petri_2(B, D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_petri_2(A, C), k2_petri_2(B, D))))) )  =>  (E=k3_petri_2(A, B, C, D) <=>  (! [F] :  ~ ( (r2_tarski(F, k2_petri_2(A, C)) &  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(C)) =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, G, A) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(G, A)))) )  =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, G, B) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(G, B)))) )  =>  ~ ( (v1_finset_1(G) &  (r1_funct_2(G, A, G, B, H, I) &  (F=k1_petri_2(A, C, G, H) & k1_funct_1(E, F)=k1_petri_2(B, D, G, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_petri_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_zfmisc_1(B))  =>  (! [C] :  (! [D] :  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_petri_2(B, D), k2_petri_2(A, C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_petri_2(B, D), k2_petri_2(A, C))))) )  =>  (E=k4_petri_2(A, B, C, D) <=>  (! [F] :  ~ ( (r2_tarski(F, k2_petri_2(B, D)) &  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(D)) =>  (! [H] :  (m1_subset_1(H, k1_zfmisc_1(C)) =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, H, A) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(H, A)))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, G, B) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(G, B)))) )  =>  ~ ( (v1_finset_1(H) &  (v1_finset_1(G) &  (H=k8_subset_1(D, k9_subset_1(D, C, G), k8_relat_1(J, A)) &  (I=k2_partfun1(G, B, J, H) &  (F=k1_petri_2(B, D, G, J) & k1_funct_1(E, F)=k1_petri_2(A, C, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_petri_2, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  (! [B] :  ( ~ (v1_zfmisc_1(B))  =>  (! [C] :  (! [D] :  (! [E] :  ( ~ (v1_zfmisc_1(E))  =>  (! [F] :  ( ~ (v1_zfmisc_1(F))  =>  (! [G] :  (! [H] :  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, k2_petri_2(A, C), k2_petri_2(E, G)) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k2_petri_2(A, C), k2_petri_2(E, G))))) )  => k6_petri_2(A, B, C, D, E, F, G, H, I)=k1_partfun1(k2_petri_2(B, D), k2_petri_2(A, C), k2_petri_2(A, C), k2_petri_2(F, H), k4_petri_2(A, B, C, D), k1_partfun1(k2_petri_2(A, C), k2_petri_2(E, G), k2_petri_2(E, G), k2_petri_2(F, H), I, k3_petri_2(E, F, G, H)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_petri_2, axiom, k7_petri_2=g1_petri_2(k1_tarski(k1_xboole_0), k1_tarski(k1_xboole_0), k2_partit_2(k1_tarski(k1_xboole_0), k1_tarski(k1_xboole_0)), k2_partit_2(k1_tarski(k1_xboole_0), k1_tarski(k1_xboole_0)), k1_tarski(k1_xboole_0), k1_xboole_0)).
fof(d9_petri_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (v2_petri_2(B, A) <=> k9_petri(A, k6_domain_1(u4_struct_0(A), B))=k1_xboole_0) ) ) ) ) ).
fof(d11_petri_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri_2(A)) ) ) )  =>  (v3_petri_2(A) <=>  (r1_tarski(k9_xtuple_0(u2_petri_2(A)), k6_subset_1(u4_struct_0(A), k8_petri_2(A))) &  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  ~ ( (r2_tarski(B, k9_xtuple_0(u2_petri_2(A))) &  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_petri_2(A))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k8_petri(A, k6_domain_1(u4_struct_0(A), B)))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k9_petri(A, k6_domain_1(u4_struct_0(A), B)))) =>  ~ ( (v1_funct_1(k1_funct_1(u2_petri_2(A), B)) &  (v1_funct_2(k1_funct_1(u2_petri_2(A), B), k2_petri_2(C, D), k2_petri_2(C, E)) & m1_subset_1(k1_funct_1(u2_petri_2(A), B), k1_zfmisc_1(k2_zfmisc_1(k2_petri_2(C, D), k2_petri_2(C, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_petri_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  ~ ( (v3_petri_2(A) &  (r2_tarski(B, k9_xtuple_0(u2_petri_2(A))) &  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_petri_2(A))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k8_petri(A, k6_domain_1(u4_struct_0(A), B)))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k9_petri(A, k6_domain_1(u4_struct_0(A), B)))) =>  ~ ( (v1_funct_1(k1_funct_1(u2_petri_2(A), B)) &  (v1_funct_2(k1_funct_1(u2_petri_2(A), B), k2_petri_2(C, D), k2_petri_2(C, E)) & m1_subset_1(k1_funct_1(u2_petri_2(A), B), k1_zfmisc_1(k2_zfmisc_1(k2_petri_2(C, D), k2_petri_2(C, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_petri_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_petri(B) &  (v3_petri(B) & l1_petri_2(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(B)) =>  ( (r1_tarski(u1_struct_0(A), u1_struct_0(B)) &  (r1_relset_1(u1_struct_0(A), u4_struct_0(A), u1_petri(A), u1_petri(B)) &  (r1_relset_1(u4_struct_0(A), u1_struct_0(A), u2_petri(A), u2_petri(B)) & C=D) ) )  =>  (r1_tarski(k8_petri(A, k6_domain_1(u4_struct_0(A), C)), k8_petri(B, k6_domain_1(u4_struct_0(B), D))) & r1_tarski(k9_petri(A, k6_domain_1(u4_struct_0(A), C)), k9_petri(B, k6_domain_1(u4_struct_0(B), D)))) ) ) ) ) ) ) ) ) ) ).
fof(d12_petri_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_petri(B) &  (v3_petri(B) & l1_petri_2(B)) ) ) )  =>  (r1_petri_2(A, B) <=>  (k3_xboole_0(u1_struct_0(A), u1_struct_0(B))=k1_xboole_0 & k3_xboole_0(u4_struct_0(A), u4_struct_0(B))=k1_xboole_0) ) ) ) ) ) ).
fof(d13_petri_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_petri(B) &  (v3_petri(B) & l1_petri_2(B)) ) ) )  =>  (! [C] :  (m2_petri_2(C, A, B) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k8_petri_2(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k8_petri_2(A), u1_struct_0(B))))) )  &  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k8_petri_2(B), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k8_petri_2(B), u1_struct_0(A))))) )  & C=k1_domain_1(k1_zfmisc_1(k2_zfmisc_1(k8_petri_2(A), u1_struct_0(B))), k1_zfmisc_1(k2_zfmisc_1(k8_petri_2(B), u1_struct_0(A))), D, E)) ) ) ) ) ) ) ) ) ) ).
fof(d14_petri_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) &  (v3_petri_2(A) & l1_petri_2(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_petri(B) &  (v3_petri(B) &  (v3_petri_2(B) & l1_petri_2(B)) ) ) ) )  =>  (! [C] :  (m2_petri_2(C, A, B) =>  (! [D] :  (m3_petri_2(D, A, B, C) <=>  (? [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  &  (? [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  &  (? [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k8_petri_2(A), u1_struct_0(B)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k8_petri_2(A), u1_struct_0(B))))) )  &  (? [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k8_petri_2(B), u1_struct_0(A)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k8_petri_2(B), u1_struct_0(A))))) )  &  (C=k1_domain_1(k1_zfmisc_1(k2_zfmisc_1(k8_petri_2(A), u1_struct_0(B))), k1_zfmisc_1(k2_zfmisc_1(k8_petri_2(B), u1_struct_0(A))), G, H) &  (k9_xtuple_0(E)=k8_petri_2(A) &  (k9_xtuple_0(F)=k8_petri_2(B) &  ( (! [I] :  (m1_subset_1(I, u4_struct_0(A)) =>  (v2_petri_2(I, A) =>  (v1_funct_1(k1_funct_1(E, I)) &  (v1_funct_2(k1_funct_1(E, I), k2_petri_2(u1_petri_2(A), k8_petri(A, k6_domain_1(u4_struct_0(A), I))), k2_petri_2(u1_petri_2(A), k1_relset_2(k8_petri_2(A), u1_struct_0(B), G, I))) & m1_subset_1(k1_funct_1(E, I), k1_zfmisc_1(k2_zfmisc_1(k2_petri_2(u1_petri_2(A), k8_petri(A, k6_domain_1(u4_struct_0(A), I))), k2_petri_2(u1_petri_2(A), k1_relset_2(k8_petri_2(A), u1_struct_0(B), G, I)))))) ) ) ) )  &  ( (! [I] :  (m1_subset_1(I, u4_struct_0(B)) =>  (v2_petri_2(I, B) =>  (v1_funct_1(k1_funct_1(F, I)) &  (v1_funct_2(k1_funct_1(F, I), k2_petri_2(u1_petri_2(B), k8_petri(B, k6_domain_1(u4_struct_0(B), I))), k2_petri_2(u1_petri_2(B), k1_relset_2(k8_petri_2(B), u1_struct_0(A), H, I))) & m1_subset_1(k1_funct_1(F, I), k1_zfmisc_1(k2_zfmisc_1(k2_petri_2(u1_petri_2(B), k8_petri(B, k6_domain_1(u4_struct_0(B), I))), k2_petri_2(u1_petri_2(B), k1_relset_2(k8_petri_2(B), u1_struct_0(A), H, I)))))) ) ) ) )  & D=k4_tarski(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_petri_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) &  (v3_petri_2(A) & l1_petri_2(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_petri(B) &  (v3_petri(B) &  (v3_petri_2(B) & l1_petri_2(B)) ) ) ) )  =>  (! [C] :  (m2_petri_2(C, A, B) =>  (! [D] :  (m3_petri_2(D, A, B, C) =>  (r1_petri_2(A, B) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_petri(E) &  (v3_petri(E) &  (v1_petri_2(E) &  (v3_petri_2(E) & l1_petri_2(E)) ) ) ) ) )  =>  (E=k9_petri_2(A, B, C, D) <=>  (? [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  &  (? [G] :  ( (v1_relat_1(G) & v1_funct_1(G))  &  (? [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k8_petri_2(A), u1_struct_0(B)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k8_petri_2(A), u1_struct_0(B))))) )  &  (? [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, k8_petri_2(B), u1_struct_0(A)) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k8_petri_2(B), u1_struct_0(A))))) )  &  (C=k1_domain_1(k1_zfmisc_1(k2_zfmisc_1(k8_petri_2(A), u1_struct_0(B))), k1_zfmisc_1(k2_zfmisc_1(k8_petri_2(B), u1_struct_0(A))), H, I) &  (k9_xtuple_0(F)=k8_petri_2(A) &  (k9_xtuple_0(G)=k8_petri_2(B) &  ( (! [J] :  (m1_subset_1(J, u4_struct_0(A)) =>  (v2_petri_2(J, A) =>  (v1_funct_1(k1_funct_1(F, J)) &  (v1_funct_2(k1_funct_1(F, J), k2_petri_2(u1_petri_2(A), k8_petri(A, k6_domain_1(u4_struct_0(A), J))), k2_petri_2(u1_petri_2(A), k1_relset_2(k8_petri_2(A), u1_struct_0(B), H, J))) & m1_subset_1(k1_funct_1(F, J), k1_zfmisc_1(k2_zfmisc_1(k2_petri_2(u1_petri_2(A), k8_petri(A, k6_domain_1(u4_struct_0(A), J))), k2_petri_2(u1_petri_2(A), k1_relset_2(k8_petri_2(A), u1_struct_0(B), H, J)))))) ) ) ) )  &  ( (! [J] :  (m1_subset_1(J, u4_struct_0(B)) =>  (v2_petri_2(J, B) =>  (v1_funct_1(k1_funct_1(G, J)) &  (v1_funct_2(k1_funct_1(G, J), k2_petri_2(u1_petri_2(B), k8_petri(B, k6_domain_1(u4_struct_0(B), J))), k2_petri_2(u1_petri_2(B), k1_relset_2(k8_petri_2(B), u1_struct_0(A), I, J))) & m1_subset_1(k1_funct_1(G, J), k1_zfmisc_1(k2_zfmisc_1(k2_petri_2(u1_petri_2(B), k8_petri(B, k6_domain_1(u4_struct_0(B), J))), k2_petri_2(u1_petri_2(B), k1_relset_2(k8_petri_2(B), u1_struct_0(A), I, J)))))) ) ) ) )  &  (D=k4_tarski(F, G) &  (u1_struct_0(E)=k2_xboole_0(u1_struct_0(A), u1_struct_0(B)) &  (u4_struct_0(E)=k2_xboole_0(u4_struct_0(A), u4_struct_0(B)) &  (u1_petri(E)=k2_xboole_0(u1_petri(A), u1_petri(B)) &  (u2_petri(E)=k2_xboole_0(k2_xboole_0(k2_xboole_0(u2_petri(A), u2_petri(B)), H), I) &  (u1_petri_2(E)=k2_xboole_0(u1_petri_2(A), u1_petri_2(B)) & u2_petri_2(E)=k1_funct_4(k1_funct_4(k1_funct_4(u2_petri_2(A), u2_petri_2(B)), F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_petri_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(D) &  (v1_funct_2(D, C, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, A)))) ) )  =>  ( ~ (v1_xboole_0(k1_petri_2(A, B, C, D)))  & m1_subset_1(k1_petri_2(A, B, C, D), k1_zfmisc_1(k9_funct_2(B, A)))) ) ) ).
fof(dt_m1_petri_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  =>  (! [C] :  (m1_petri_2(C, A, B) =>  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k9_funct_2(B, A)))) ) ) ) ) ).
fof(existence_m1_petri_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  =>  (? [C] : m1_petri_2(C, A, B)) ) ) ).
fof(dt_k2_petri_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v1_xboole_0(k2_petri_2(A, B)))  & m1_subset_1(k2_petri_2(A, B), k1_zfmisc_1(k1_zfmisc_1(k9_funct_2(B, A))))) ) ) ).
fof(dt_k3_petri_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_zfmisc_1(A))  &  ~ (v1_zfmisc_1(B)) )  =>  (v1_funct_1(k3_petri_2(A, B, C, D)) &  (v1_funct_2(k3_petri_2(A, B, C, D), k2_petri_2(A, C), k2_petri_2(B, D)) & m1_subset_1(k3_petri_2(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k2_petri_2(A, C), k2_petri_2(B, D))))) ) ) ) ).
fof(dt_k4_petri_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_zfmisc_1(B)) )  =>  (v1_funct_1(k4_petri_2(A, B, C, D)) &  (v1_funct_2(k4_petri_2(A, B, C, D), k2_petri_2(B, D), k2_petri_2(A, C)) & m1_subset_1(k4_petri_2(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k2_petri_2(B, D), k2_petri_2(A, C))))) ) ) ) ).
fof(dt_k5_petri_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_zfmisc_1(A))  & m1_petri_2(C, A, B))  =>  (v1_finset_1(k5_petri_2(A, B, C)) & m1_subset_1(k5_petri_2(A, B, C), k1_zfmisc_1(B))) ) ) ).
fof(dt_k6_petri_2, axiom,  (! [A, B, C, D, E, F, G, H, I] :  ( ( ~ (v1_zfmisc_1(A))  &  ( ~ (v1_zfmisc_1(B))  &  ( ~ (v1_zfmisc_1(E))  &  ( ~ (v1_zfmisc_1(F))  &  (v1_funct_1(I) &  (v1_funct_2(I, k2_petri_2(A, C), k2_petri_2(E, G)) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k2_petri_2(A, C), k2_petri_2(E, G))))) ) ) ) ) )  =>  (v1_funct_1(k6_petri_2(A, B, C, D, E, F, G, H, I)) &  (v1_funct_2(k6_petri_2(A, B, C, D, E, F, G, H, I), k2_petri_2(B, D), k2_petri_2(F, H)) & m1_subset_1(k6_petri_2(A, B, C, D, E, F, G, H, I), k1_zfmisc_1(k2_zfmisc_1(k2_petri_2(B, D), k2_petri_2(F, H))))) ) ) ) ).
fof(abstractness_v1_petri_2, axiom,  (! [A] :  (l1_petri_2(A) =>  (v1_petri_2(A) => A=g1_petri_2(u1_struct_0(A), u4_struct_0(A), u1_petri(A), u2_petri(A), u1_petri_2(A), u2_petri_2(A))) ) ) ).
fof(dt_l1_petri_2, axiom,  (! [A] :  (l1_petri_2(A) => l1_petri(A)) ) ).
fof(existence_l1_petri_2, axiom,  (? [A] : l1_petri_2(A)) ).
fof(dt_g1_petri_2, axiom,  (! [A, B, C, D, E, F] :  ( (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A))) &  ( ( ~ (v1_xboole_0(E))  & v1_finset_1(E))  &  (v1_relat_1(F) & v1_funct_1(F)) ) ) )  =>  (v1_petri_2(g1_petri_2(A, B, C, D, E, F)) & l1_petri_2(g1_petri_2(A, B, C, D, E, F))) ) ) ).
fof(free_g1_petri_2, axiom,  (! [A, B, C, D, E, F] :  ( (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A))) &  ( ( ~ (v1_xboole_0(E))  & v1_finset_1(E))  &  (v1_relat_1(F) & v1_funct_1(F)) ) ) )  =>  (! [G, H, I, J, K, L] :  (g1_petri_2(A, B, C, D, E, F)=g1_petri_2(G, H, I, J, K, L) =>  (A=G &  (B=H &  (C=I &  (D=J &  (E=K & F=L) ) ) ) ) ) ) ) ) ).
fof(dt_u1_petri_2, axiom,  (! [A] :  (l1_petri_2(A) =>  ( ~ (v1_xboole_0(u1_petri_2(A)))  & v1_finset_1(u1_petri_2(A))) ) ) ).
fof(dt_u2_petri_2, axiom,  (! [A] :  (l1_petri_2(A) =>  (v1_relat_1(u2_petri_2(A)) & v1_funct_1(u2_petri_2(A))) ) ) ).
fof(dt_k7_petri_2, axiom, l1_petri_2(k7_petri_2)).
fof(dt_k8_petri_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri_2(A)) ) ) )  => m1_subset_1(k8_petri_2(A), k1_zfmisc_1(u4_struct_0(A)))) ) ).
fof(symmetry_r1_petri_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri_2(A)) ) ) )  &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_petri(B) &  (v3_petri(B) & l1_petri_2(B)) ) ) ) )  =>  (r1_petri_2(A, B) => r1_petri_2(B, A)) ) ) ).
fof(existence_m2_petri_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri_2(A)) ) ) )  &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_petri(B) &  (v3_petri(B) & l1_petri_2(B)) ) ) ) )  =>  (? [C] : m2_petri_2(C, A, B)) ) ) ).
fof(existence_m3_petri_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) &  (v3_petri_2(A) & l1_petri_2(A)) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_petri(B) &  (v3_petri(B) &  (v3_petri_2(B) & l1_petri_2(B)) ) ) ) )  & m2_petri_2(C, A, B)) )  =>  (? [D] : m3_petri_2(D, A, B, C)) ) ) ).
fof(dt_k9_petri_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) &  (v3_petri_2(A) & l1_petri_2(A)) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_petri(B) &  (v3_petri(B) &  (v3_petri_2(B) & l1_petri_2(B)) ) ) ) )  &  (m2_petri_2(C, A, B) & m3_petri_2(D, A, B, C)) ) )  =>  ( ~ (v2_struct_0(k9_petri_2(A, B, C, D)))  &  ( ~ (v11_struct_0(k9_petri_2(A, B, C, D)))  &  (v2_petri(k9_petri_2(A, B, C, D)) &  (v3_petri(k9_petri_2(A, B, C, D)) &  (v1_petri_2(k9_petri_2(A, B, C, D)) &  (v3_petri_2(k9_petri_2(A, B, C, D)) & l1_petri_2(k9_petri_2(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(d1_petri_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, C, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, A)))) )  =>  (r1_tarski(C, B) => k1_petri_2(A, B, C, D)=a_4_0_petri_2(A, B, C, D)) ) ) ) ) ) ) ).
fof(t1_petri_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (m1_petri_2(C, A, B) =>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) &  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, D, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(D, A)))) )  &  (v1_finset_1(D) & C=a_4_1_petri_2(A, B, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(d3_petri_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] : k2_petri_2(A, B)=a_2_0_petri_2(A, B)) ) ) ).
fof(d6_petri_2, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  (! [B] :  (! [C] :  (m1_petri_2(C, A, B) =>  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(B)))  =>  (D=k5_petri_2(A, B, C) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(B)) &  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, E, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(E, A)))) )  &  (v1_finset_1(E) &  (C=a_4_2_petri_2(A, B, E, F) & D=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_petri_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri_2(A)) ) ) )  => k8_petri_2(A)=a_1_0_petri_2(A)) ) ).
fof(fraenkel_a_4_0_petri_2, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  (v1_funct_1(E) &  (v1_funct_2(E, D, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(D, B)))) ) )  =>  (r2_hidden(A, a_4_0_petri_2(B, C, D, E)) <=>  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, C, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, B)))) )  &  (A=F & k2_partfun1(C, B, F, D)=E) ) ) ) ) ) ).
fof(fraenkel_a_4_1_petri_2, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  (m1_subset_1(D, k1_zfmisc_1(C)) &  (v1_funct_1(E) &  (v1_funct_2(E, D, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(D, B)))) ) ) )  =>  (r2_hidden(A, a_4_1_petri_2(B, C, D, E)) <=>  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, C, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, B)))) )  &  (A=F & k2_partfun1(C, B, F, D)=E) ) ) ) ) ) ).
fof(fraenkel_a_2_0_petri_2, axiom,  (! [A, B, C] :  ( ~ (v1_xboole_0(B))  =>  (r2_hidden(A, a_2_0_petri_2(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(k9_funct_2(C, B))) &  (A=D & m1_petri_2(D, B, C)) ) ) ) ) ) ).
fof(fraenkel_a_4_2_petri_2, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_zfmisc_1(B))  &  (m1_subset_1(D, k1_zfmisc_1(C)) &  (v1_funct_1(E) &  (v1_funct_2(E, D, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(D, B)))) ) ) )  =>  (r2_hidden(A, a_4_2_petri_2(B, C, D, E)) <=>  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, C, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, B)))) )  &  (A=F & k2_partfun1(C, B, F, D)=E) ) ) ) ) ) ).
fof(fraenkel_a_1_0_petri_2, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_petri(B) &  (v3_petri(B) & l1_petri_2(B)) ) ) )  =>  (r2_hidden(A, a_1_0_petri_2(B)) <=>  (? [C] :  (m1_subset_1(C, u4_struct_0(B)) &  (A=C & v2_petri_2(C, B)) ) ) ) ) ) ).
fof(rc1_petri_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_petri_3(B, A)) ) ) ) ) ) ) ) ).
fof(rc2_petri_3, axiom,  (? [A] :  (l1_petri_2(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v14_struct_0(A) &  (v2_petri(A) &  (v3_petri(A) &  (v1_petri_2(A) &  (v3_petri_2(A) & v4_petri_3(A)) ) ) ) ) ) ) ) ) ).
fof(fc1_petri_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) &  (v3_petri_2(A) &  (v4_petri_3(A) & l1_petri_2(A)) ) ) ) ) )  =>  ( ~ (v1_xboole_0(u1_petri_2(A)))  &  ( ~ (v1_zfmisc_1(u1_petri_2(A)))  & v1_finset_1(u1_petri_2(A))) ) ) ) ).
fof(d1_petri_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v1_petri_3(B, A) <=>  (! [C] :  (m1_subset_1(C, A) =>  ( ~ (v2_struct_0(k1_msafree4(A, B, C)))  &  ( ~ (v11_struct_0(k1_msafree4(A, B, C)))  &  (v2_petri(k1_msafree4(A, B, C)) &  (v3_petri(k1_msafree4(A, B, C)) &  (v3_petri_2(k1_msafree4(A, B, C)) & l1_petri_2(k1_msafree4(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_petri_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_petri_3(B, A)) ) ) )  =>  (v2_petri_3(B, A) <=>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  ( ~ (C=D)  =>  (r1_subset_1(u1_struct_0(k1_petri_3(A, B, C)), u1_struct_0(k1_petri_3(A, B, D))) & r1_subset_1(u4_struct_0(k1_petri_3(A, B, C)), u4_struct_0(k1_petri_3(A, B, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_petri_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ~ ( ( (! [E] :  ~ ( (r2_hidden(E, A) &  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  ~ ( (F=k1_funct_1(B, E) &  (k9_xtuple_0(F)=k1_funct_1(C, E) & k10_xtuple_0(F)=k1_funct_1(D, E)) ) ) ) ) ) ) )  &  ( (! [E] :  (! [F] :  (! [G] :  ( (v1_relat_1(G) & v1_funct_1(G))  =>  (! [H] :  ( (v1_relat_1(H) & v1_funct_1(H))  =>  ( (r2_hidden(E, A) &  (r2_hidden(F, A) &  (G=k1_funct_1(B, E) & H=k1_funct_1(B, F)) ) )  =>  (E=F | r1_xboole_0(k9_xtuple_0(G), k9_xtuple_0(H))) ) ) ) ) ) ) )  &  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  ~ ( (E=k3_tarski(k10_xtuple_0(B)) &  (k9_xtuple_0(E)=k3_tarski(k10_xtuple_0(C)) &  (k10_xtuple_0(E)=k3_tarski(k10_xtuple_0(D)) &  (! [F] :  (! [G] :  (! [H] :  ( (v1_relat_1(H) & v1_funct_1(H))  =>  ( (r2_hidden(F, A) &  (H=k1_funct_1(B, F) & r2_hidden(G, k9_xtuple_0(H))) )  => k1_funct_1(E, G)=k1_funct_1(H, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_petri_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  ( (! [D] :  (! [E] :  ( (r2_hidden(D, A) & r2_hidden(E, A))  =>  (D=E | k3_xboole_0(k1_funct_1(B, D), k1_funct_1(C, E))=k1_xboole_0) ) ) )  => k3_card_3(k4_pboole(A, B, C))=k6_subset_1(k3_card_3(B), k3_card_3(C))) ) ) ) ) ) ).
fof(t3_petri_3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ( (r2_pboole(A, B, k4_pboole(A, C, D)) &  (! [E] :  (! [F] :  ( (r2_hidden(E, A) & r2_hidden(F, A))  =>  (E=F | k3_xboole_0(k1_funct_1(C, E), k1_funct_1(D, F))=k1_xboole_0) ) ) ) )  => r1_tarski(k3_card_3(B), k6_subset_1(k3_card_3(C), k3_card_3(D)))) ) ) ) ) ) ) ) ).
fof(d5_petri_3, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_petri_3(B, A)) ) ) )  =>  (! [C] :  (m1_petri_3(C, A, B) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k2_petri_3(A)) &  (v1_funct_1(D) & v1_partfun1(D, k2_petri_3(A))) ) )  =>  (m2_petri_3(D, A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  ~ ( ( ~ (E=F)  &  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k8_petri_2(k1_petri_3(A, B, E)), u1_struct_0(k1_petri_3(A, B, F))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k8_petri_2(k1_petri_3(A, B, E)), u1_struct_0(k1_petri_3(A, B, F)))))) )  =>  (! [H] :  ( (v1_relat_1(H) & v1_funct_1(H))  =>  ~ ( (H=k1_funct_1(D, k1_domain_1(A, A, E, F)) &  (G=k1_funct_1(C, k1_domain_1(A, A, E, F)) &  (k9_xtuple_0(H)=k8_petri_2(k1_petri_3(A, B, E)) &  (! [I] :  (m1_subset_1(I, u4_struct_0(k1_petri_3(A, B, E))) =>  (v2_petri_2(I, k1_petri_3(A, B, E)) =>  (v1_funct_1(k1_funct_1(H, I)) &  (v1_funct_2(k1_funct_1(H, I), k2_petri_2(u1_petri_2(k1_petri_3(A, B, E)), k8_petri(k1_petri_3(A, B, E), k6_domain_1(u4_struct_0(k1_petri_3(A, B, E)), I))), k2_petri_2(u1_petri_2(k1_petri_3(A, B, E)), k1_relset_2(k8_petri_2(k1_petri_3(A, B, E)), u1_struct_0(k1_petri_3(A, B, F)), G, I))) & m1_subset_1(k1_funct_1(H, I), k1_zfmisc_1(k2_zfmisc_1(k2_petri_2(u1_petri_2(k1_petri_3(A, B, E)), k8_petri(k1_petri_3(A, B, E), k6_domain_1(u4_struct_0(k1_petri_3(A, B, E)), I))), k2_petri_2(u1_petri_2(k1_petri_3(A, B, E)), k1_relset_2(k8_petri_2(k1_petri_3(A, B, E)), u1_struct_0(k1_petri_3(A, B, F)), G, I)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_petri_3, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_petri_3(B, A)) ) ) )  =>  (! [C] :  (m1_petri_3(C, A, B) =>  (! [D] :  (m2_petri_3(D, A, B, C) =>  ( (v2_petri_3(B, A) &  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) =>  ~ ( ( ~ (E=F)  &  ( ~ (E=G)  &  ( (? [H] :  (? [I] :  (? [J] :  (r2_hidden(k4_tarski(H, I), k1_funct_1(D, k1_domain_1(A, A, E, F))) & r2_hidden(k4_tarski(H, J), k1_funct_1(D, k1_domain_1(A, A, E, G)))) ) ) )  &  ~ (F=G) ) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  ( ~ (v11_struct_0(E))  &  (v2_petri(E) &  (v3_petri(E) &  (v1_petri_2(E) &  (v3_petri_2(E) & l1_petri_2(E)) ) ) ) ) )  =>  (E=k3_petri_3(A, B, C, D) <=>  (? [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) & v1_partfun1(F, A)) ) )  &  (? [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, A) &  (v1_funct_1(G) & v1_partfun1(G, A)) ) )  &  (? [H] :  ( (v1_relat_1(H) &  (v4_relat_1(H, A) &  (v1_funct_1(H) & v1_partfun1(H, A)) ) )  &  (? [I] :  ( (v1_relat_1(I) &  (v4_relat_1(I, A) &  (v1_funct_1(I) & v1_partfun1(I, A)) ) )  &  (? [J] :  ( (v1_relat_1(J) &  (v4_relat_1(J, A) &  (v1_funct_1(J) & v1_partfun1(J, A)) ) )  &  (? [K] :  ( (v1_relat_1(K) &  (v4_relat_1(K, A) &  (v1_funct_1(K) & v1_partfun1(K, A)) ) )  &  (? [L] :  ( (v1_relat_1(L) & v1_funct_1(L))  &  (? [M] :  ( (v1_relat_1(M) & v1_funct_1(M))  &  ( (! [N] :  (m1_subset_1(N, A) =>  (k1_msafree4(A, F, N)=u1_struct_0(k1_petri_3(A, B, N)) &  (k1_msafree4(A, G, N)=u4_struct_0(k1_petri_3(A, B, N)) &  (k1_msafree4(A, H, N)=u1_petri(k1_petri_3(A, B, N)) &  (k1_msafree4(A, I, N)=u2_petri(k1_petri_3(A, B, N)) &  (k1_msafree4(A, J, N)=u1_petri_2(k1_petri_3(A, B, N)) & k1_msafree4(A, K, N)=u2_petri_2(k1_petri_3(A, B, N))) ) ) ) ) ) )  &  (L=k3_tarski(k10_xtuple_0(K)) &  (M=k3_tarski(k10_xtuple_0(D)) &  (u1_struct_0(E)=k3_tarski(k10_xtuple_0(F)) &  (u4_struct_0(E)=k3_tarski(k10_xtuple_0(G)) &  (u1_petri(E)=k3_tarski(k10_xtuple_0(H)) &  (u2_petri(E)=k2_xboole_0(k3_tarski(k10_xtuple_0(I)), k3_tarski(k10_xtuple_0(C))) &  (u1_petri_2(E)=k3_tarski(k10_xtuple_0(J)) & u2_petri_2(E)=k1_funct_4(L, M)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_petri_3, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_petri_3(B, A)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_zfmisc_1(k10_xtuple_0(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_zfmisc_1(k10_xtuple_0(B)))))) )  =>  (! [D] :  (m1_petri_3(D, A, B) =>  ( (v2_funct_1(B) & r1_petri_3(A, B, C, D))  =>  (! [E] :  (m1_subset_1(E, A) =>  ~ (r2_tarski(k1_petri_3(A, B, E), k1_msafree4(A, C, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_petri_3, axiom,  (! [A] :  (l1_petri_2(A) =>  (v4_petri_3(A) <=>  ~ (v1_zfmisc_1(u1_petri_2(A))) ) ) ) ).
fof(d11_petri_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) &  (v3_petri_2(A) &  (v4_petri_3(A) & l1_petri_2(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k4_petri_3(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k4_petri_3(A))))) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_petri_2(D, u1_petri_2(A), k8_petri(A, k6_domain_1(u4_struct_0(A), C))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k5_petri_2(u1_petri_2(A), k8_petri(A, k6_domain_1(u4_struct_0(A), C)), D), u1_petri_2(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k5_petri_2(u1_petri_2(A), k8_petri(A, k6_domain_1(u4_struct_0(A), C)), D), u1_petri_2(A))))) )  =>  (r2_petri_3(A, B, C, D, E) <=>  ( ~ (k1_funct_1(u2_petri_2(A), k1_domain_1(u4_struct_0(A), k1_zfmisc_1(k9_funct_2(k8_petri(A, k6_domain_1(u4_struct_0(A), C)), u1_petri_2(A))), C, D))=k1_xboole_0)  &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r2_tarski(F, k5_petri_2(u1_petri_2(A), k8_petri(A, k6_domain_1(u4_struct_0(A), C)), D)) => r1_xxreal_0(1, k6_petri_3(A, k5_petri_3(A, B, F), k1_funct_1(E, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_petri_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) &  (v3_petri_2(A) &  (v4_petri_3(A) & l1_petri_2(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k4_petri_3(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k4_petri_3(A))))) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_petri_2(D, u1_petri_2(A), k8_petri(A, k6_domain_1(u4_struct_0(A), C))) =>  ( (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k5_petri_2(u1_petri_2(A), k8_petri(A, k6_domain_1(u4_struct_0(A), C)), D), u1_petri_2(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k5_petri_2(u1_petri_2(A), k8_petri(A, k6_domain_1(u4_struct_0(A), C)), D), u1_petri_2(A))))) )  & r2_petri_3(A, B, C, D, E)) )  <=> r2_tarski(D, k7_petri_3(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(d13_petri_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) &  (v3_petri_2(A) &  (v4_petri_3(A) & l1_petri_2(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k4_petri_3(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k4_petri_3(A))))) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_petri_2(D, u1_petri_2(A), k8_petri(A, k6_domain_1(u4_struct_0(A), C))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k5_petri_2(u1_petri_2(A), k8_petri(A, k6_domain_1(u4_struct_0(A), C)), D), u1_petri_2(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k5_petri_2(u1_petri_2(A), k8_petri(A, k6_domain_1(u4_struct_0(A), C)), D), u1_petri_2(A))))) )  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r2_petri_3(A, B, C, D, E) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_petri_2(A), k4_ordinal1) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_petri_2(A), k4_ordinal1)))) )  =>  (G=k8_petri_3(A, B, C, D, E, F) <=>  (! [H] :  (m1_subset_1(H, u1_petri_2(A)) =>  ( ( (r2_tarski(F, k5_petri_2(u1_petri_2(A), k8_petri(A, k6_domain_1(u4_struct_0(A), C)), D)) & H=k1_funct_1(E, F))  => k6_petri_3(A, G, H)=k6_xcmplx_0(k6_petri_3(A, k5_petri_3(A, B, F), H), 1))  &  ( ~ ( (r2_tarski(F, k5_petri_2(u1_petri_2(A), k8_petri(A, k6_domain_1(u4_struct_0(A), C)), D)) & H=k1_funct_1(E, F)) )  => k6_petri_3(A, G, H)=k6_petri_3(A, k5_petri_3(A, B, F), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_petri_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) &  (v3_petri_2(A) &  (v4_petri_3(A) & l1_petri_2(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k4_petri_3(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k4_petri_3(A))))) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_petri_2(D, u1_petri_2(A), k9_petri(A, k6_domain_1(u4_struct_0(A), C))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k5_petri_2(u1_petri_2(A), k9_petri(A, k6_domain_1(u4_struct_0(A), C)), D), u1_petri_2(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k5_petri_2(u1_petri_2(A), k9_petri(A, k6_domain_1(u4_struct_0(A), C)), D), u1_petri_2(A))))) )  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_petri_2(A), k4_ordinal1) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_petri_2(A), k4_ordinal1)))) )  =>  (G=k9_petri_3(A, B, C, D, E, F) <=>  (! [H] :  (m1_subset_1(H, u1_petri_2(A)) =>  ( ( (r2_tarski(F, k5_petri_2(u1_petri_2(A), k9_petri(A, k6_domain_1(u4_struct_0(A), C)), D)) & H=k1_funct_1(E, F))  => k6_petri_3(A, G, H)=k1_nat_1(k6_petri_3(A, k5_petri_3(A, B, F), H), 1))  &  ( ~ ( (r2_tarski(F, k5_petri_2(u1_petri_2(A), k9_petri(A, k6_domain_1(u4_struct_0(A), C)), D)) & H=k1_funct_1(E, F)) )  => k6_petri_3(A, G, H)=k6_petri_3(A, k5_petri_3(A, B, F), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_petri_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) &  (v3_petri_2(A) &  (v4_petri_3(A) & l1_petri_2(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k4_petri_3(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k4_petri_3(A))))) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_petri_2(D, u1_petri_2(A), k8_petri(A, k6_domain_1(u4_struct_0(A), C))) =>  (! [E] :  (m1_petri_2(E, u1_petri_2(A), k9_petri(A, k6_domain_1(u4_struct_0(A), C))) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k5_petri_2(u1_petri_2(A), k8_petri(A, k6_domain_1(u4_struct_0(A), C)), D), u1_petri_2(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k5_petri_2(u1_petri_2(A), k8_petri(A, k6_domain_1(u4_struct_0(A), C)), D), u1_petri_2(A))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k5_petri_2(u1_petri_2(A), k9_petri(A, k6_domain_1(u4_struct_0(A), C)), E), u1_petri_2(A)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k5_petri_2(u1_petri_2(A), k9_petri(A, k6_domain_1(u4_struct_0(A), C)), E), u1_petri_2(A))))) )  =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ( ( (r2_petri_3(A, B, C, D, F) & r2_tarski(H, k7_subset_1(k8_petri(A, k6_domain_1(u4_struct_0(A), C)), k5_petri_2(u1_petri_2(A), k8_petri(A, k6_domain_1(u4_struct_0(A), C)), D), k5_petri_2(u1_petri_2(A), k9_petri(A, k6_domain_1(u4_struct_0(A), C)), E))))  => k10_petri_3(A, B, C, D, E, F, G, H)=k8_petri_3(A, B, C, D, F, H))  &  ( ( (r2_petri_3(A, B, C, D, F) & r2_tarski(H, k7_subset_1(k9_petri(A, k6_domain_1(u4_struct_0(A), C)), k5_petri_2(u1_petri_2(A), k9_petri(A, k6_domain_1(u4_struct_0(A), C)), E), k5_petri_2(u1_petri_2(A), k8_petri(A, k6_domain_1(u4_struct_0(A), C)), D))))  => k10_petri_3(A, B, C, D, E, F, G, H)=k9_petri_3(A, B, C, E, G, H))  &  ~ ( ( ~ ( (r2_petri_3(A, B, C, D, F) & r2_tarski(H, k7_subset_1(k8_petri(A, k6_domain_1(u4_struct_0(A), C)), k5_petri_2(u1_petri_2(A), k8_petri(A, k6_domain_1(u4_struct_0(A), C)), D), k5_petri_2(u1_petri_2(A), k9_petri(A, k6_domain_1(u4_struct_0(A), C)), E)))) )  &  ( ~ ( (r2_petri_3(A, B, C, D, F) & r2_tarski(H, k7_subset_1(k9_petri(A, k6_domain_1(u4_struct_0(A), C)), k5_petri_2(u1_petri_2(A), k9_petri(A, k6_domain_1(u4_struct_0(A), C)), E), k5_petri_2(u1_petri_2(A), k8_petri(A, k6_domain_1(u4_struct_0(A), C)), D)))) )  &  ~ (k10_petri_3(A, B, C, D, E, F, G, H)=k5_petri_3(A, B, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_petri_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) &  (v3_petri_2(A) &  (v4_petri_3(A) & l1_petri_2(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k4_petri_3(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k4_petri_3(A))))) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_petri_2(D, u1_petri_2(A), k8_petri(A, k6_domain_1(u4_struct_0(A), C))) =>  (! [E] :  (m1_petri_2(E, u1_petri_2(A), k9_petri(A, k6_domain_1(u4_struct_0(A), C))) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k5_petri_2(u1_petri_2(A), k8_petri(A, k6_domain_1(u4_struct_0(A), C)), D), u1_petri_2(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k5_petri_2(u1_petri_2(A), k8_petri(A, k6_domain_1(u4_struct_0(A), C)), D), u1_petri_2(A))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k5_petri_2(u1_petri_2(A), k9_petri(A, k6_domain_1(u4_struct_0(A), C)), E), u1_petri_2(A)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k5_petri_2(u1_petri_2(A), k9_petri(A, k6_domain_1(u4_struct_0(A), C)), E), u1_petri_2(A))))) )  =>  (! [H] :  (m1_subset_1(H, u1_petri_2(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (r1_xxreal_0(k6_xcmplx_0(k6_petri_3(A, k5_petri_3(A, B, I), H), 1), k6_petri_3(A, k10_petri_3(A, B, C, D, E, F, G, I), H)) & r1_xxreal_0(k6_petri_3(A, k10_petri_3(A, B, C, D, E, F, G, I), H), k1_nat_1(k6_petri_3(A, k5_petri_3(A, B, I), H), 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_petri_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) &  (v3_petri_2(A) &  (v4_petri_3(A) & l1_petri_2(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k4_petri_3(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k4_petri_3(A))))) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_petri_2(D, u1_petri_2(A), k8_petri(A, k6_domain_1(u4_struct_0(A), C))) =>  (! [E] :  (m1_petri_2(E, u1_petri_2(A), k9_petri(A, k6_domain_1(u4_struct_0(A), C))) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k5_petri_2(u1_petri_2(A), k8_petri(A, k6_domain_1(u4_struct_0(A), C)), D), u1_petri_2(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k5_petri_2(u1_petri_2(A), k8_petri(A, k6_domain_1(u4_struct_0(A), C)), D), u1_petri_2(A))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k5_petri_2(u1_petri_2(A), k9_petri(A, k6_domain_1(u4_struct_0(A), C)), E), u1_petri_2(A)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k5_petri_2(u1_petri_2(A), k9_petri(A, k6_domain_1(u4_struct_0(A), C)), E), u1_petri_2(A))))) )  =>  (! [H] :  (m1_subset_1(H, u1_petri_2(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (v2_petri_2(C, A) =>  (r1_xxreal_0(k6_xcmplx_0(k6_petri_3(A, k5_petri_3(A, B, I), H), 1), k6_petri_3(A, k10_petri_3(A, B, C, D, E, F, G, I), H)) & r1_xxreal_0(k6_petri_3(A, k10_petri_3(A, B, C, D, E, F, G, I), H), k6_petri_3(A, k5_petri_3(A, B, I), H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_petri_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_petri_3(B, A)) ) ) )  & m1_subset_1(C, A)) )  =>  ( ~ (v2_struct_0(k1_petri_3(A, B, C)))  &  ( ~ (v11_struct_0(k1_petri_3(A, B, C)))  &  (v2_petri(k1_petri_3(A, B, C)) &  (v3_petri(k1_petri_3(A, B, C)) &  (v3_petri_2(k1_petri_3(A, B, C)) & l1_petri_2(k1_petri_3(A, B, C))) ) ) ) ) ) ) ).
fof(redefinition_k1_petri_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_petri_3(B, A)) ) ) )  & m1_subset_1(C, A)) )  => k1_petri_3(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k2_petri_3, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v1_xboole_0(k2_petri_3(A))) ) ) ).
fof(dt_m1_petri_3, axiom,  (! [A, B] :  ( ( ( ~ (v1_zfmisc_1(A))  & v1_finset_1(A))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_petri_3(B, A)) ) ) ) )  =>  (! [C] :  (m1_petri_3(C, A, B) =>  (v1_relat_1(C) &  (v4_relat_1(C, k2_petri_3(A)) &  (v1_funct_1(C) & v1_partfun1(C, k2_petri_3(A))) ) ) ) ) ) ) ).
fof(existence_m1_petri_3, axiom,  (! [A, B] :  ( ( ( ~ (v1_zfmisc_1(A))  & v1_finset_1(A))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_petri_3(B, A)) ) ) ) )  =>  (? [C] : m1_petri_3(C, A, B)) ) ) ).
fof(dt_m2_petri_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_zfmisc_1(A))  & v1_finset_1(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_petri_3(B, A)) ) ) )  & m1_petri_3(C, A, B)) )  =>  (! [D] :  (m2_petri_3(D, A, B, C) =>  (v1_relat_1(D) &  (v4_relat_1(D, k2_petri_3(A)) &  (v1_funct_1(D) & v1_partfun1(D, k2_petri_3(A))) ) ) ) ) ) ) ).
fof(existence_m2_petri_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_zfmisc_1(A))  & v1_finset_1(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_petri_3(B, A)) ) ) )  & m1_petri_3(C, A, B)) )  =>  (? [D] : m2_petri_3(D, A, B, C)) ) ) ).
fof(dt_k3_petri_3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_zfmisc_1(A))  & v1_finset_1(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_petri_3(B, A)) ) ) )  &  (m1_petri_3(C, A, B) & m2_petri_3(D, A, B, C)) ) )  =>  ( ~ (v2_struct_0(k3_petri_3(A, B, C, D)))  &  ( ~ (v11_struct_0(k3_petri_3(A, B, C, D)))  &  (v2_petri(k3_petri_3(A, B, C, D)) &  (v3_petri(k3_petri_3(A, B, C, D)) &  (v1_petri_2(k3_petri_3(A, B, C, D)) &  (v3_petri_2(k3_petri_3(A, B, C, D)) & l1_petri_2(k3_petri_3(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(dt_k4_petri_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) &  (v3_petri_2(A) & l1_petri_2(A)) ) ) ) )  =>  ~ (v1_xboole_0(k4_petri_3(A))) ) ) ).
fof(dt_k5_petri_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) &  (v3_petri_2(A) &  (v4_petri_3(A) & l1_petri_2(A)) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k4_petri_3(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k4_petri_3(A))))) )  & m1_subset_1(C, u1_struct_0(A))) )  =>  (v1_funct_1(k5_petri_3(A, B, C)) &  (v1_funct_2(k5_petri_3(A, B, C), u1_petri_2(A), k4_ordinal1) & m1_subset_1(k5_petri_3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_petri_2(A), k4_ordinal1)))) ) ) ) ).
fof(redefinition_k5_petri_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) &  (v3_petri_2(A) &  (v4_petri_3(A) & l1_petri_2(A)) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k4_petri_3(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k4_petri_3(A))))) )  & m1_subset_1(C, u1_struct_0(A))) )  => k5_petri_3(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k6_petri_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) &  (v3_petri_2(A) &  (v4_petri_3(A) & l1_petri_2(A)) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_petri_2(A), k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_petri_2(A), k4_ordinal1)))) ) )  => m1_subset_1(k6_petri_3(A, B, C), k4_ordinal1)) ) ).
fof(redefinition_k6_petri_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) &  (v3_petri_2(A) &  (v4_petri_3(A) & l1_petri_2(A)) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_petri_2(A), k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_petri_2(A), k4_ordinal1)))) ) )  => k6_petri_3(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k8_petri_3, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) &  (v3_petri_2(A) &  (v4_petri_3(A) & l1_petri_2(A)) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k4_petri_3(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k4_petri_3(A))))) )  &  (m1_subset_1(C, u4_struct_0(A)) &  (m1_petri_2(D, u1_petri_2(A), k8_petri(A, k6_domain_1(u4_struct_0(A), C))) &  ( (v1_funct_1(E) &  (v1_funct_2(E, k5_petri_2(u1_petri_2(A), k8_petri(A, k6_domain_1(u4_struct_0(A), C)), D), u1_petri_2(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k5_petri_2(u1_petri_2(A), k8_petri(A, k6_domain_1(u4_struct_0(A), C)), D), u1_petri_2(A))))) )  & m1_subset_1(F, u1_struct_0(A))) ) ) ) )  =>  (v1_funct_1(k8_petri_3(A, B, C, D, E, F)) &  (v1_funct_2(k8_petri_3(A, B, C, D, E, F), u1_petri_2(A), k4_ordinal1) & m1_subset_1(k8_petri_3(A, B, C, D, E, F), k1_zfmisc_1(k2_zfmisc_1(u1_petri_2(A), k4_ordinal1)))) ) ) ) ).
fof(dt_k9_petri_3, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) &  (v3_petri_2(A) &  (v4_petri_3(A) & l1_petri_2(A)) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k4_petri_3(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k4_petri_3(A))))) )  &  (m1_subset_1(C, u4_struct_0(A)) &  (m1_petri_2(D, u1_petri_2(A), k9_petri(A, k6_domain_1(u4_struct_0(A), C))) &  ( (v1_funct_1(E) &  (v1_funct_2(E, k5_petri_2(u1_petri_2(A), k9_petri(A, k6_domain_1(u4_struct_0(A), C)), D), u1_petri_2(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k5_petri_2(u1_petri_2(A), k9_petri(A, k6_domain_1(u4_struct_0(A), C)), D), u1_petri_2(A))))) )  & m1_subset_1(F, u1_struct_0(A))) ) ) ) )  =>  (v1_funct_1(k9_petri_3(A, B, C, D, E, F)) &  (v1_funct_2(k9_petri_3(A, B, C, D, E, F), u1_petri_2(A), k4_ordinal1) & m1_subset_1(k9_petri_3(A, B, C, D, E, F), k1_zfmisc_1(k2_zfmisc_1(u1_petri_2(A), k4_ordinal1)))) ) ) ) ).
fof(dt_k10_petri_3, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) &  (v3_petri_2(A) &  (v4_petri_3(A) & l1_petri_2(A)) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k4_petri_3(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k4_petri_3(A))))) )  &  (m1_subset_1(C, u4_struct_0(A)) &  (m1_petri_2(D, u1_petri_2(A), k8_petri(A, k6_domain_1(u4_struct_0(A), C))) &  (m1_petri_2(E, u1_petri_2(A), k9_petri(A, k6_domain_1(u4_struct_0(A), C))) &  ( (v1_funct_1(F) &  (v1_funct_2(F, k5_petri_2(u1_petri_2(A), k8_petri(A, k6_domain_1(u4_struct_0(A), C)), D), u1_petri_2(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k5_petri_2(u1_petri_2(A), k8_petri(A, k6_domain_1(u4_struct_0(A), C)), D), u1_petri_2(A))))) )  &  ( (v1_funct_1(G) &  (v1_funct_2(G, k5_petri_2(u1_petri_2(A), k9_petri(A, k6_domain_1(u4_struct_0(A), C)), E), u1_petri_2(A)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k5_petri_2(u1_petri_2(A), k9_petri(A, k6_domain_1(u4_struct_0(A), C)), E), u1_petri_2(A))))) )  & m1_subset_1(H, u1_struct_0(A))) ) ) ) ) ) )  =>  (v1_funct_1(k10_petri_3(A, B, C, D, E, F, G, H)) &  (v1_funct_2(k10_petri_3(A, B, C, D, E, F, G, H), u1_petri_2(A), k4_ordinal1) & m1_subset_1(k10_petri_3(A, B, C, D, E, F, G, H), k1_zfmisc_1(k2_zfmisc_1(u1_petri_2(A), k4_ordinal1)))) ) ) ) ).
fof(d3_petri_3, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  => k2_petri_3(A)=a_1_0_petri_3(A)) ) ).
fof(t4_petri_3, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_petri_3(B, A)) ) ) )  =>  ~ (v1_xboole_0(k3_tarski(a_2_0_petri_3(A, B)))) ) ) ) ) ).
fof(d4_petri_3, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_petri_3(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k2_petri_3(A)) &  (v1_funct_1(C) & v1_partfun1(C, k2_petri_3(A))) ) )  =>  (m1_petri_3(C, A, B) <=>  (r1_tarski(k10_xtuple_0(C), k3_tarski(a_2_0_petri_3(A, B))) &  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  ( ~ (D=E)  =>  (v1_funct_1(k1_funct_1(C, k1_domain_1(A, A, D, E))) &  (v1_funct_2(k1_funct_1(C, k1_domain_1(A, A, D, E)), k8_petri_2(k1_petri_3(A, B, D)), u1_struct_0(k1_petri_3(A, B, E))) & m1_subset_1(k1_funct_1(C, k1_domain_1(A, A, D, E)), k1_zfmisc_1(k2_zfmisc_1(k8_petri_2(k1_petri_3(A, B, D)), u1_struct_0(k1_petri_3(A, B, E)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_petri_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) &  (v3_petri_2(A) & l1_petri_2(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_petri(B) &  (v3_petri(B) &  (v3_petri_2(B) & l1_petri_2(B)) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k8_petri_2(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k8_petri_2(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (k9_xtuple_0(D)=k8_petri_2(A) &  (! [E] :  (m1_subset_1(E, u4_struct_0(A)) =>  (v2_petri_2(E, A) =>  (v1_funct_1(k1_funct_1(D, E)) &  (v1_funct_2(k1_funct_1(D, E), k2_petri_2(u1_petri_2(A), k8_petri(A, k6_domain_1(u4_struct_0(A), E))), k2_petri_2(u1_petri_2(A), k1_relset_2(k8_petri_2(A), u1_struct_0(B), C, E))) & m1_subset_1(k1_funct_1(D, E), k1_zfmisc_1(k2_zfmisc_1(k2_petri_2(u1_petri_2(A), k8_petri(A, k6_domain_1(u4_struct_0(A), E))), k2_petri_2(u1_petri_2(A), k1_relset_2(k8_petri_2(A), u1_struct_0(B), C, E)))))) ) ) ) ) )  => r2_tarski(D, k1_funct_2(k8_petri_2(A), k3_tarski(a_3_0_petri_3(A, B, C))))) ) ) ) ) ) ) ) ) ).
fof(d7_petri_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_petri_3(B, A)) ) ) )  =>  (v3_petri_3(B, A) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_zfmisc_1(k10_xtuple_0(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_zfmisc_1(k10_xtuple_0(B)))))) )  &  (! [D] :  (m1_subset_1(D, A) => k1_msafree4(A, C, D)=a_3_1_petri_3(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d8_petri_3, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_petri_3(B, A)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_zfmisc_1(k10_xtuple_0(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_zfmisc_1(k10_xtuple_0(B)))))) )  =>  (! [D] :  (m1_petri_3(D, A, B) =>  (r1_petri_3(A, B, C, D) <=>  (! [E] :  (m1_subset_1(E, A) => k1_msafree4(A, C, E)=a_4_0_petri_3(A, B, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_petri_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) &  (v3_petri_2(A) & l1_petri_2(A)) ) ) ) )  => k4_petri_3(A)=a_1_1_petri_3(A)) ) ).
fof(d12_petri_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) &  (v3_petri_2(A) &  (v4_petri_3(A) & l1_petri_2(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k4_petri_3(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k4_petri_3(A))))) )  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) => k7_petri_3(A, B, C)=a_3_2_petri_3(A, B, C)) ) ) ) ) ) ).
fof(fraenkel_a_1_0_petri_3, axiom,  (! [A, B] :  ( ~ (v1_zfmisc_1(B))  =>  (r2_hidden(A, a_1_0_petri_3(B)) <=>  (? [C, D] :  ( (m1_subset_1(C, B) & m1_subset_1(D, B))  &  (A=k1_domain_1(B, B, C, D) &  ~ (C=D) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_petri_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_zfmisc_1(B))  & v1_finset_1(B))  &  (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v1_funct_1(C) &  (v1_partfun1(C, B) & v1_petri_3(C, B)) ) ) ) )  =>  (r2_hidden(A, a_2_0_petri_3(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, B) & m1_subset_1(E, B))  &  (A=k9_funct_2(k8_petri_2(k1_petri_3(B, C, D)), u1_struct_0(k1_petri_3(B, C, E))) &  ~ (D=E) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_petri_3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_petri(B) &  (v3_petri(B) &  (v3_petri_2(B) & l1_petri_2(B)) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  &  (v2_petri(C) &  (v3_petri(C) &  (v3_petri_2(C) & l1_petri_2(C)) ) ) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k8_petri_2(B), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k8_petri_2(B), u1_struct_0(C))))) ) ) )  =>  (r2_hidden(A, a_3_0_petri_3(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u4_struct_0(B)) &  (A=k9_funct_2(k2_petri_2(u1_petri_2(B), k8_petri(B, k6_domain_1(u4_struct_0(B), E))), k2_petri_2(u1_petri_2(B), k1_relset_2(k8_petri_2(B), u1_struct_0(C), D, E))) & v2_petri_2(E, B)) ) ) ) ) ) ).
fof(fraenkel_a_3_1_petri_3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  &  ( (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v1_funct_1(C) &  (v1_partfun1(C, B) & v1_petri_3(C, B)) ) ) )  & m1_subset_1(D, B)) )  =>  (r2_hidden(A, a_3_1_petri_3(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, B) &  (A=k1_petri_3(B, C, E) &  ~ (E=D) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_petri_3, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v1_zfmisc_1(B))  & v1_finset_1(B))  &  ( (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v1_funct_1(C) &  (v1_partfun1(C, B) & v1_petri_3(C, B)) ) ) )  &  (m1_petri_3(D, B, C) & m1_subset_1(E, B)) ) )  =>  (r2_hidden(A, a_4_0_petri_3(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, B) &  (A=k1_petri_3(B, C, F) &  ( ~ (F=E)  &  (? [G] :  (m1_subset_1(G, u4_struct_0(k1_petri_3(B, C, E))) &  (? [H] : r2_hidden(k4_tarski(G, H), k1_funct_1(D, k1_domain_1(B, B, E, F)))) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_1_petri_3, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_petri(B) &  (v3_petri(B) &  (v3_petri_2(B) & l1_petri_2(B)) ) ) ) )  =>  (r2_hidden(A, a_1_1_petri_3(B)) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_petri_2(B), k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_petri_2(B), k4_ordinal1)))) )  & A=C) ) ) ) ) ).
fof(fraenkel_a_3_2_petri_3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_petri(B) &  (v3_petri(B) &  (v3_petri_2(B) &  (v4_petri_3(B) & l1_petri_2(B)) ) ) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), k4_petri_3(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k4_petri_3(B))))) )  & m1_subset_1(D, u4_struct_0(B))) )  =>  (r2_hidden(A, a_3_2_petri_3(B, C, D)) <=>  (? [E] :  (m1_petri_2(E, u1_petri_2(B), k8_petri(B, k6_domain_1(u4_struct_0(B), D))) &  (A=E &  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k5_petri_2(u1_petri_2(B), k8_petri(B, k6_domain_1(u4_struct_0(B), D)), E), u1_petri_2(B)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k5_petri_2(u1_petri_2(B), k8_petri(B, k6_domain_1(u4_struct_0(B), D)), E), u1_petri_2(B))))) )  & r2_petri_3(B, C, D, E, F)) ) ) ) ) ) ) ) ).
fof(fc1_petri_df, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => v1_finseq_6(k11_finseq_1(B, C, B), A)) ) ).
fof(fc2_petri_df, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  ~ (v1_xboole_0(k2_net_1(A))) ) ) ).
fof(cc1_petri_df, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m1_finseq_1(B, k2_net_1(A)) =>  (v2_petri_df(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ) ).
fof(fc3_petri_df, axiom,  ( ~ (v2_struct_0(k1_petri_df))  &  ( ~ (v11_struct_0(k1_petri_df))  &  (v2_petri(k1_petri_df) &  (v3_petri(k1_petri_df) &  (v1_net_1(k1_petri_df) &  (v1_petri_df(k1_petri_df) & v4_petri_df(k1_petri_df)) ) ) ) ) ) ).
fof(rc1_petri_df, axiom,  (? [A] :  (l1_petri(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v14_struct_0(A) &  (v2_petri(A) &  (v3_petri(A) &  (v1_net_1(A) &  (v1_petri_df(A) & v4_petri_df(A)) ) ) ) ) ) ) ) ) ).
fof(cc2_petri_df, axiom,  (! [A] :  (l1_petri(A) =>  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & v4_petri_df(A)) ) ) )  =>  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & v3_petri_df(A)) ) ) ) ) ) ) ).
fof(rc2_petri_df, axiom,  (? [A] :  (l1_petri(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v14_struct_0(A) &  (v2_petri(A) &  (v3_petri(A) & v3_petri_df(A)) ) ) ) ) ) ) ).
fof(rc3_petri_df, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) &  (v3_petri_df(A) & l1_petri(A)) ) ) ) )  =>  (? [B] :  (m1_finseq_1(B, k2_net_1(A)) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k2_net_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) & v2_petri_df(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc4_petri_df, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) &  (v4_petri_df(A) & l1_petri(A)) ) ) ) )  =>  (? [B] :  (m1_finseq_1(B, k2_net_1(A)) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k2_net_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) &  (v1_finseq_6(B, k2_net_1(A)) &  (v1_jordan23(B) & v2_petri_df(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_petri_df, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ( (v2_funct_1(k1_rfinseq(1, C)) &  (r1_xxreal_0(A, k3_finseq_1(C)) &  (r1_xxreal_0(B, k3_finseq_1(C)) & k1_funct_1(C, A)=k1_funct_1(C, B)) ) )  =>  (r1_xxreal_0(A, 1) |  (r1_xxreal_0(B, 1) | A=B) ) ) ) ) ) ) ) ) ).
fof(t2_petri_df, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, A))  =>  (v1_finseq_6(B, A) => k1_funct_1(B, 1)=k1_funct_1(B, k3_finseq_1(B))) ) ) ) ) ).
fof(t3_petri_df, axiom,  (! [A] :  (! [B] :  ( ~ (A=B)  => v1_jordan23(k11_finseq_1(A, B, A))) ) ) ).
fof(d2_petri_df, axiom, k1_petri_df=g1_petri(k6_domain_1(k4_ordinal1, k5_numbers), k6_domain_1(k4_ordinal1, 1), k2_partit_2(k6_domain_1(k4_ordinal1, k5_numbers), k6_domain_1(k4_ordinal1, 1)), k2_partit_2(k6_domain_1(k4_ordinal1, 1), k6_domain_1(k4_ordinal1, k5_numbers)))).
fof(d5_petri_df, axiom,  (! [A] :  (l1_petri(A) => k4_petri_df(A)=k9_funct_2(u1_struct_0(A), k4_ordinal1)) ) ).
fof(d7_petri_df, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (v1_petri_df(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (? [C] :  (m1_subset_1(C, u4_struct_0(A)) & r2_tarski(k1_domain_1(u4_struct_0(A), u1_struct_0(A), C, B), u2_petri(A))) )  &  ( (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  ( (r2_tarski(k1_domain_1(u4_struct_0(A), u1_struct_0(A), C, B), u2_petri(A)) & r2_tarski(k1_domain_1(u4_struct_0(A), u1_struct_0(A), D, B), u2_petri(A)))  => C=D) ) ) ) )  &  ( (? [C] :  (m1_subset_1(C, u4_struct_0(A)) & r2_tarski(k1_domain_1(u1_struct_0(A), u4_struct_0(A), B, C), u1_petri(A))) )  &  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  ( (r2_tarski(k1_domain_1(u1_struct_0(A), u4_struct_0(A), B, C), u1_petri(A)) & r2_tarski(k1_domain_1(u1_struct_0(A), u4_struct_0(A), B, D), u1_petri(A)))  => C=D) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_petri_df, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m2_finseq_1(B, k2_net_1(A)) =>  (v2_petri_df(B, A) <=>  (r1_xxreal_0(3, k3_finseq_1(B)) &  (k4_nat_d(k3_finseq_1(B), 2)=1 &  ( (! [C] :  (v7_ordinal1(C) =>  (k4_nat_d(C, 2)=1 =>  (r1_xxreal_0(k3_finseq_1(B), k1_nat_1(C, 1)) |  (r2_hidden(k4_tarski(k1_funct_1(B, C), k1_funct_1(B, k1_nat_1(C, 1))), u1_petri(A)) & r2_hidden(k4_tarski(k1_funct_1(B, k1_nat_1(C, 1)), k1_funct_1(B, k1_nat_1(C, 2))), u2_petri(A))) ) ) ) )  & r2_tarski(k1_funct_1(B, k3_finseq_1(B)), u1_struct_0(A))) ) ) ) ) ) ) ) ).
fof(t4_petri_df, axiom,  (! [A] :  (m2_finseq_1(A, k2_net_1(k1_petri_df)) =>  (A=k3_finseq_4(k4_ordinal1, k5_numbers, 1, k5_numbers) => v2_petri_df(A, k1_petri_df)) ) ) ).
fof(d9_petri_df, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (v3_petri_df(A) <=>  (? [B] :  (m2_finseq_1(B, k2_net_1(A)) & v2_petri_df(B, A)) ) ) ) ) ).
fof(d10_petri_df, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (v4_petri_df(A) <=>  (? [B] :  (m2_finseq_1(B, k2_net_1(A)) &  (v2_petri_df(B, A) &  (v1_finseq_6(B, k2_net_1(A)) & v1_jordan23(B)) ) ) ) ) ) ) ).
fof(t5_petri_df, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) &  (v3_petri_df(A) & l1_petri(A)) ) ) ) )  =>  (! [B] :  ( (v2_petri_df(B, A) & m2_finseq_1(B, k2_net_1(A)))  => r2_hidden(k4_tarski(k1_funct_1(B, 1), k1_funct_1(B, 2)), u1_petri(A))) ) ) ) ).
fof(t6_petri_df, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) &  (v3_petri_df(A) & l1_petri(A)) ) ) ) )  =>  (! [B] :  ( (v2_petri_df(B, A) & m2_finseq_1(B, k2_net_1(A)))  => r2_hidden(k4_tarski(k1_funct_1(B, k6_xcmplx_0(k3_finseq_1(B), 1)), k1_funct_1(B, k3_finseq_1(B))), u2_petri(A))) ) ) ) ).
fof(t7_petri_df, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_petri(B) &  (v3_petri(B) &  (v1_net_1(B) &  (v3_petri_df(B) & l1_petri(B)) ) ) ) ) )  =>  (! [C] :  ( (v2_petri_df(C, B) & m2_finseq_1(C, k2_net_1(B)))  =>  ( (r2_tarski(k1_funct_1(C, A), k2_petri_df(B, C)) & r2_tarski(A, k4_finseq_1(C)))  => k4_nat_d(A, 2)=1) ) ) ) ) ) ) ).
fof(t8_petri_df, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_petri(B) &  (v3_petri(B) &  (v1_net_1(B) &  (v3_petri_df(B) & l1_petri(B)) ) ) ) ) )  =>  (! [C] :  ( (v2_petri_df(C, B) & m2_finseq_1(C, k2_net_1(B)))  =>  ( (r2_tarski(k1_funct_1(C, A), k3_petri_df(B, C)) & r2_tarski(A, k4_finseq_1(C)))  => k4_nat_d(A, 2)=k5_numbers) ) ) ) ) ) ) ).
fof(t9_petri_df, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_petri(B) &  (v3_petri(B) &  (v1_net_1(B) &  (v3_petri_df(B) & l1_petri(B)) ) ) ) ) )  =>  (! [C] :  ( (v2_petri_df(C, B) & m2_finseq_1(C, k2_net_1(B)))  =>  ( (r2_tarski(k1_funct_1(C, A), k3_petri_df(B, C)) & r2_tarski(A, k4_finseq_1(C)))  =>  (r2_hidden(k4_tarski(k1_funct_1(C, k6_xcmplx_0(A, 1)), k1_funct_1(C, A)), u1_petri(B)) & r2_hidden(k4_tarski(k1_funct_1(C, A), k1_funct_1(C, k1_nat_1(A, 1))), u2_petri(B))) ) ) ) ) ) ) ) ).
fof(t10_petri_df, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_petri(B) &  (v3_petri(B) &  (v1_net_1(B) &  (v3_petri_df(B) & l1_petri(B)) ) ) ) ) )  =>  (! [C] :  ( (v2_petri_df(C, B) & m2_finseq_1(C, k2_net_1(B)))  =>  (r2_tarski(k1_funct_1(C, A), k2_petri_df(B, C)) =>  (r1_xxreal_0(A, 1) |  (r1_xxreal_0(k3_finseq_1(C), A) |  (r2_hidden(k4_tarski(k1_funct_1(C, k6_xcmplx_0(A, 2)), k1_funct_1(C, k6_xcmplx_0(A, 1))), u1_petri(B)) &  (r2_hidden(k4_tarski(k1_funct_1(C, k6_xcmplx_0(A, 1)), k1_funct_1(C, A)), u2_petri(B)) &  (r2_hidden(k4_tarski(k1_funct_1(C, A), k1_funct_1(C, k1_nat_1(A, 1))), u1_petri(B)) &  (r2_hidden(k4_tarski(k1_funct_1(C, k1_nat_1(A, 1)), k1_funct_1(C, k1_nat_1(A, 2))), u2_petri(B)) & r1_xxreal_0(3, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_petri_df, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m2_funct_2(B, u1_struct_0(A), k4_ordinal1, k4_petri_df(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (r1_petri_df(A, B, C) <=>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(D, k7_relset_1(u1_struct_0(A), k4_ordinal1, B, k8_petri(A, k6_domain_1(u4_struct_0(A), C)))) & r1_xxreal_0(D, k5_numbers)) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_petri_df, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m2_funct_2(B, u1_struct_0(A), k4_ordinal1, k4_petri_df(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (! [D] :  (m2_funct_2(D, u1_struct_0(A), k4_ordinal1, k4_petri_df(A)) =>  ( (r1_petri_df(A, B, C) =>  (D=k6_petri_df(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r2_tarski(E, k8_petri(A, k6_domain_1(u4_struct_0(A), C))) =>  (r2_tarski(E, k9_petri(A, k6_domain_1(u4_struct_0(A), C))) | k3_funct_2(u1_struct_0(A), k4_ordinal1, D, E)=k6_xcmplx_0(k3_funct_2(u1_struct_0(A), k4_ordinal1, B, E), 1)) )  &  ( (r2_tarski(E, k9_petri(A, k6_domain_1(u4_struct_0(A), C))) =>  (r2_tarski(E, k8_petri(A, k6_domain_1(u4_struct_0(A), C))) | k3_funct_2(u1_struct_0(A), k4_ordinal1, D, E)=k1_nat_1(k3_funct_2(u1_struct_0(A), k4_ordinal1, B, E), 1)) )  &  ( ( (r2_tarski(E, k8_petri(A, k6_domain_1(u4_struct_0(A), C))) & r2_tarski(E, k9_petri(A, k6_domain_1(u4_struct_0(A), C))))  |  ( ~ (r2_tarski(E, k8_petri(A, k6_domain_1(u4_struct_0(A), C))))  &  ~ (r2_tarski(E, k9_petri(A, k6_domain_1(u4_struct_0(A), C)))) ) )  => k3_funct_2(u1_struct_0(A), k4_ordinal1, D, E)=k3_funct_2(u1_struct_0(A), k4_ordinal1, B, E)) ) ) ) ) ) )  &  ( ~ (r1_petri_df(A, B, C))  =>  (D=k6_petri_df(A, B, C) <=> r2_relset_1(u1_struct_0(A), k4_ordinal1, D, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_petri_df, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m2_funct_2(B, u1_struct_0(A), k4_ordinal1, k4_petri_df(A)) =>  (! [C] :  (m2_finseq_1(C, u4_struct_0(A)) =>  (r2_petri_df(A, B, C) <=>  ~ ( ( ~ (C=k1_xboole_0)  &  (! [D] :  (m2_finseq_1(D, k4_petri_df(A)) =>  ~ ( (k3_finseq_1(C)=k3_finseq_1(D) &  (r1_petri_df(A, B, k7_partfun1(u4_struct_0(A), C, 1)) &  (k7_partfun1(k4_petri_df(A), D, 1)=k6_petri_df(A, B, k7_partfun1(u4_struct_0(A), C, 1)) &  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(k3_finseq_1(C), E))  &  ( ~ (r1_xxreal_0(E, k5_numbers))  &  ~ ( (r1_petri_df(A, k7_partfun1(k4_petri_df(A), D, E), k7_partfun1(u4_struct_0(A), C, k1_nat_1(E, 1))) & k7_partfun1(k4_petri_df(A), D, k1_nat_1(E, 1))=k6_petri_df(A, k7_partfun1(k4_petri_df(A), D, E), k7_partfun1(u4_struct_0(A), C, k1_nat_1(E, 1)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_petri_df, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m2_funct_2(B, u1_struct_0(A), k4_ordinal1, k4_petri_df(A)) =>  (! [C] :  (m2_finseq_1(C, u4_struct_0(A)) =>  (! [D] :  (m2_funct_2(D, u1_struct_0(A), k4_ordinal1, k4_petri_df(A)) =>  ( (C=k1_xboole_0 =>  (D=k7_petri_df(A, B, C) <=> r2_relset_1(u1_struct_0(A), k4_ordinal1, D, B)) )  &  ( ~ (C=k1_xboole_0)  =>  (D=k7_petri_df(A, B, C) <=>  (? [E] :  (m2_finseq_1(E, k4_petri_df(A)) &  (k3_finseq_1(C)=k3_finseq_1(E) &  (D=k7_partfun1(k4_petri_df(A), E, k3_finseq_1(E)) &  (k7_partfun1(k4_petri_df(A), E, 1)=k6_petri_df(A, B, k7_partfun1(u4_struct_0(A), C, 1)) &  (! [F] :  (v7_ordinal1(F) =>  ~ ( ( ~ (r1_xxreal_0(k3_finseq_1(C), F))  &  ( ~ (r1_xxreal_0(F, k5_numbers))  &  ~ (k7_partfun1(k4_petri_df(A), E, k1_nat_1(F, 1))=k6_petri_df(A, k7_partfun1(k4_petri_df(A), E, F), k7_partfun1(u4_struct_0(A), C, k1_nat_1(F, 1)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_petri_df, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m2_funct_2(B, u1_struct_0(A), k4_ordinal1, k4_petri_df(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) => r2_relset_1(u1_struct_0(A), k4_ordinal1, k6_petri_df(A, B, C), k7_petri_df(A, B, k12_finseq_1(u4_struct_0(A), C)))) ) ) ) ) ) ).
fof(t12_petri_df, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m2_funct_2(B, u1_struct_0(A), k4_ordinal1, k4_petri_df(A)) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (r1_petri_df(A, B, C) <=> r2_petri_df(A, B, k12_finseq_1(u4_struct_0(A), C))) ) ) ) ) ) ) ).
fof(t13_petri_df, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m2_funct_2(B, u1_struct_0(A), k4_ordinal1, k4_petri_df(A)) =>  (! [C] :  (m2_finseq_1(C, u4_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u4_struct_0(A)) => r2_relset_1(u1_struct_0(A), k4_ordinal1, k7_petri_df(A, B, k8_finseq_1(u4_struct_0(A), C, D)), k7_petri_df(A, k7_petri_df(A, B, C), D))) ) ) ) ) ) ) ) ).
fof(t14_petri_df, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m2_funct_2(B, u1_struct_0(A), k4_ordinal1, k4_petri_df(A)) =>  (! [C] :  (m2_finseq_1(C, u4_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u4_struct_0(A)) =>  (r2_petri_df(A, B, k8_finseq_1(u4_struct_0(A), C, D)) =>  (r2_petri_df(A, k7_petri_df(A, B, C), D) & r2_petri_df(A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t15_petri_df, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) &  (v1_net_1(A) &  (v1_petri_df(A) &  (v3_petri_df(A) & l1_petri(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v2_petri_df(B, A) & m2_finseq_1(B, k2_net_1(A)))  =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (v1_finseq_6(B, k2_net_1(A)) =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(D, k2_petri_df(A, B)) &  (r2_tarski(k1_domain_1(u1_struct_0(A), u4_struct_0(A), D, C), u1_petri(A)) | r2_tarski(k1_domain_1(u4_struct_0(A), u1_struct_0(A), C, D), u2_petri(A))) ) ) ) )  | r2_tarski(C, k3_petri_df(A, B))) ) ) ) ) ) ) ) ).
fof(t16_petri_df, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) &  (v1_net_1(A) &  (v1_petri_df(A) &  (v4_petri_df(A) & l1_petri(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_finseq_6(B, k2_net_1(A)) &  (v1_jordan23(B) &  (v2_petri_df(B, A) & m2_finseq_1(B, k2_net_1(A))) ) )  =>  (! [C] :  (m2_funct_2(C, u1_struct_0(A), k4_ordinal1, k4_petri_df(A)) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) => k5_petri_df(A, k2_petri_df(A, B), C)=k5_petri_df(A, k2_petri_df(A, B), k6_petri_df(A, C, D))) ) ) ) ) ) ) ) ).
fof(t17_petri_df, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) &  (v1_net_1(A) &  (v1_petri_df(A) &  (v4_petri_df(A) & l1_petri(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_finseq_6(B, k2_net_1(A)) &  (v1_jordan23(B) &  (v2_petri_df(B, A) & m2_finseq_1(B, k2_net_1(A))) ) )  =>  (! [C] :  (m2_funct_2(C, u1_struct_0(A), k4_ordinal1, k4_petri_df(A)) =>  (! [D] :  (m2_finseq_1(D, u4_struct_0(A)) => k5_petri_df(A, k2_petri_df(A, B), C)=k5_petri_df(A, k2_petri_df(A, B), k7_petri_df(A, C, D))) ) ) ) ) ) ) ) ).
fof(dt_m1_petri_df, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(A)))  &  (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) )  =>  (! [E] :  (m1_petri_df(E, A, B, C, D) => m2_finseq_1(E, B)) ) ) ) ).
fof(existence_m1_petri_df, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(A)))  &  (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) )  =>  (? [E] : m1_petri_df(E, A, B, C, D)) ) ) ).
fof(dt_k1_petri_df, axiom,  ( ~ (v2_struct_0(k1_petri_df))  &  ( ~ (v11_struct_0(k1_petri_df))  &  (v2_petri(k1_petri_df) &  (v3_petri(k1_petri_df) & l1_petri(k1_petri_df)) ) ) ) ).
fof(dt_k2_petri_df, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  & m1_finseq_1(B, k2_net_1(A)))  =>  (v1_finset_1(k2_petri_df(A, B)) & m1_subset_1(k2_petri_df(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ) ).
fof(dt_k3_petri_df, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  & m1_finseq_1(B, k2_net_1(A)))  =>  (v1_finset_1(k3_petri_df(A, B)) & m1_subset_1(k3_petri_df(A, B), k1_zfmisc_1(u4_struct_0(A)))) ) ) ).
fof(dt_k4_petri_df, axiom,  (! [A] :  (l1_petri(A) => m1_funct_2(k4_petri_df(A), u1_struct_0(A), k4_ordinal1)) ) ).
fof(dt_k5_petri_df, axiom,  (! [A, B, C] :  ( (l1_petri(A) &  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  & m1_subset_1(C, k4_petri_df(A))) )  => m1_subset_1(k5_petri_df(A, B, C), k4_ordinal1)) ) ).
fof(dt_k6_petri_df, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  &  (m1_subset_1(B, k4_petri_df(A)) & m1_subset_1(C, u4_struct_0(A))) )  => m2_funct_2(k6_petri_df(A, B, C), u1_struct_0(A), k4_ordinal1, k4_petri_df(A))) ) ).
fof(dt_k7_petri_df, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  &  (m1_subset_1(B, k4_petri_df(A)) & m1_finseq_1(C, u4_struct_0(A))) )  => m2_funct_2(k7_petri_df(A, B, C), u1_struct_0(A), k4_ordinal1, k4_petri_df(A))) ) ).
fof(d1_petri_df, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(A)))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  (m2_finseq_1(E, B) =>  ( ( ~ (v1_xboole_0(C))  =>  (m1_petri_df(E, A, B, C, D) <=>  (k3_finseq_1(E)=k3_finseq_1(o_2_0_petri_df(A, C)) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k4_finseq_1(E)) => k1_funct_1(E, F)=k1_funct_1(D, k1_funct_1(o_2_0_petri_df(A, C), F))) ) ) ) ) )  &  (v1_xboole_0(C) =>  (m1_petri_df(E, A, B, C, D) <=> E=k6_finseq_1(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_petri_df, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m2_finseq_1(B, k2_net_1(A)) => k2_petri_df(A, B)=a_2_1_petri_df(A, B)) ) ) ) ).
fof(d4_petri_df, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  &  (v2_petri(A) &  (v3_petri(A) & l1_petri(A)) ) ) )  =>  (! [B] :  (m2_finseq_1(B, k2_net_1(A)) => k3_petri_df(A, B)=a_2_2_petri_df(A, B)) ) ) ) ).
fof(d6_petri_df, axiom,  (! [A] :  (l1_petri(A) =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m2_funct_2(C, u1_struct_0(A), k4_ordinal1, k4_petri_df(A)) => k5_petri_df(A, B, C)=k1_wsierp_1(o_3_0_petri_df(A, B, C))) ) ) ) ) ) ).
fof(dt_o_2_0_petri_df, axiom,  (! [A, B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(A)))  => m2_rlaffin3(o_2_0_petri_df(A, B), A, B)) ) ).
fof(fraenkel_a_2_1_petri_df, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_petri(B) &  (v3_petri(B) & l1_petri(B)) ) ) )  & m2_finseq_1(C, k2_net_1(B)))  =>  (r2_hidden(A, a_2_1_petri_df(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & r2_tarski(D, k2_relset_1(k2_net_1(B), C))) ) ) ) ) ) ).
fof(fraenkel_a_2_2_petri_df, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  &  (v2_petri(B) &  (v3_petri(B) & l1_petri(B)) ) ) )  & m2_finseq_1(C, k2_net_1(B)))  =>  (r2_hidden(A, a_2_2_petri_df(B, C)) <=>  (? [D] :  (m1_subset_1(D, u4_struct_0(B)) &  (A=D & r2_tarski(D, k2_relset_1(k2_net_1(B), C))) ) ) ) ) ) ).
fof(dt_o_3_0_petri_df, axiom,  (! [A, B, C] :  ( (l1_petri(A) &  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  & m2_funct_2(C, u1_struct_0(A), k4_ordinal1, k4_petri_df(A))) )  => m1_petri_df(o_3_0_petri_df(A, B, C), u1_struct_0(A), k4_ordinal1, B, C)) ) ).
fof(cc1_pl_axiom, axiom,  (! [A] :  (v2_pl_axiom(A) =>  ( ~ (v1_xboole_0(A))  &  (v2_hilbert1(A) &  (v1_intpro_1(A) & v1_pl_axiom(A)) ) ) ) ) ).
fof(cc2_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k13_finseq_1(k4_ordinal1))) =>  ( (v2_hilbert1(A) &  (v1_intpro_1(A) & v1_pl_axiom(A)) )  => v2_pl_axiom(A)) ) ) ).
fof(fc1_pl_axiom, axiom, v2_pl_axiom(k1_pl_axiom)).
fof(rc1_pl_axiom, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v2_pl_axiom(A)) ) ).
fof(fc2_pl_axiom, axiom, v4_funct_1(k1_pl_axiom)).
fof(cc3_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) => v1_finseq_1(A)) ) ).
fof(fc3_pl_axiom, axiom, v4_pl_axiom(k12_pl_axiom)).
fof(fc4_pl_axiom, axiom,  ~ (v1_xboole_0(k12_pl_axiom)) ).
fof(t1_pl_axiom, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (r1_tarski(k9_xtuple_0(A), k9_xtuple_0(B)) &  (! [C] :  (r2_tarski(C, k9_xtuple_0(A)) => k1_funct_1(A, C)=k1_funct_1(B, C)) ) )  => r1_tarski(k10_xtuple_0(A), k10_xtuple_0(B))) ) ) ) ) ).
fof(t2_pl_axiom, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) => k6_xboolean(k4_xboolean(A, B), A)=k7_margrel1) ) ) ) ).
fof(t3_pl_axiom, axiom,  (! [A] :  (v1_xboolean(A) => k7_xboolean(k3_xboolean(k3_xboolean(A)), A)=k7_margrel1) ) ).
fof(t4_pl_axiom, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) => k7_xboolean(k3_xboolean(k4_xboolean(A, B)), k5_xboolean(k3_xboolean(A), k3_xboolean(B)))=k7_margrel1) ) ) ) ).
fof(t5_pl_axiom, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) => k7_xboolean(k3_xboolean(k5_xboolean(A, B)), k4_xboolean(k3_xboolean(A), k3_xboolean(B)))=k7_margrel1) ) ) ) ).
fof(t6_pl_axiom, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) => k6_xboolean(k6_xboolean(A, B), k6_xboolean(k3_xboolean(B), k3_xboolean(A)))=k7_margrel1) ) ) ) ).
fof(t7_pl_axiom, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) =>  (! [C] :  (v1_xboolean(C) => k6_xboolean(k6_xboolean(A, B), k6_xboolean(k6_xboolean(A, C), k6_xboolean(A, k4_xboolean(B, C))))=k7_margrel1) ) ) ) ) ) ).
fof(t8_pl_axiom, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) =>  (! [C] :  (v1_xboolean(C) => k6_xboolean(k6_xboolean(A, C), k6_xboolean(k6_xboolean(B, C), k6_xboolean(k5_xboolean(A, B), C)))=k7_margrel1) ) ) ) ) ) ).
fof(t9_pl_axiom, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) => k7_xboolean(k4_xboolean(A, B), k4_xboolean(B, A))=k7_margrel1) ) ) ) ).
fof(t10_pl_axiom, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) => k7_xboolean(k5_xboolean(A, B), k5_xboolean(B, A))=k7_margrel1) ) ) ) ).
fof(t11_pl_axiom, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) =>  (! [C] :  (v1_xboolean(C) => k7_xboolean(k4_xboolean(k4_xboolean(A, B), C), k4_xboolean(A, k4_xboolean(B, C)))=k7_margrel1) ) ) ) ) ) ).
fof(t12_pl_axiom, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) =>  (! [C] :  (v1_xboolean(C) => k7_xboolean(k5_xboolean(k5_xboolean(A, B), C), k5_xboolean(A, k5_xboolean(B, C)))=k7_margrel1) ) ) ) ) ) ).
fof(t13_pl_axiom, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) => k6_xboolean(k6_xboolean(k3_xboolean(B), k3_xboolean(A)), k6_xboolean(k6_xboolean(k3_xboolean(B), A), B))=k7_margrel1) ) ) ) ).
fof(t14_pl_axiom, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) =>  (! [C] :  (v1_xboolean(C) => k7_xboolean(k4_xboolean(A, k5_xboolean(B, C)), k5_xboolean(k4_xboolean(A, B), k4_xboolean(A, C)))=k7_margrel1) ) ) ) ) ) ).
fof(t15_pl_axiom, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) =>  (! [C] :  (v1_xboolean(C) => k7_xboolean(k5_xboolean(A, k4_xboolean(B, C)), k4_xboolean(k5_xboolean(A, B), k5_xboolean(A, C)))=k7_margrel1) ) ) ) ) ) ).
fof(t16_pl_axiom, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  ~ ( (v6_ordinal1(B) &  (r1_tarski(A, k3_tarski(B)) &  ( ~ (B=k1_xboole_0)  &  (! [C] :  ~ ( (r1_tarski(A, C) & r2_tarski(C, B)) ) ) ) ) ) ) ) ) ) ).
fof(d1_pl_axiom, axiom,  (! [A] :  (v1_pl_axiom(A) <=>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => r2_tarski(k12_finseq_1(k4_ordinal1, k1_nat_1(3, B)), A)) ) ) ) ).
fof(d2_pl_axiom, axiom,  (! [A] :  (v2_pl_axiom(A) <=>  (r1_tarski(A, k13_finseq_1(k4_ordinal1)) &  (v1_intpro_1(A) &  (v2_hilbert1(A) & v1_pl_axiom(A)) ) ) ) ) ).
fof(d3_pl_axiom, axiom,  (! [A] :  (A=k1_pl_axiom <=>  (v2_pl_axiom(A) &  (! [B] :  (v2_pl_axiom(B) => r1_tarski(A, B)) ) ) ) ) ).
fof(d4_pl_axiom, axiom, k2_pl_axiom=k12_finseq_1(k4_ordinal1, k5_numbers)).
fof(d5_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) => k3_pl_axiom(A, B)=k7_finseq_1(k7_finseq_1(k12_finseq_1(k4_ordinal1, 1), A), B)) ) ) ) ).
fof(d6_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => k4_pl_axiom(A)=k12_finseq_1(k4_ordinal1, k1_nat_1(3, A))) ) ).
fof(d7_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_pl_axiom)) =>  (A=k5_pl_axiom <=>  (! [B] :  (r2_tarski(B, A) <=>  (? [C] :  (m1_subset_1(C, k4_ordinal1) & B=k4_pl_axiom(C)) ) ) ) ) ) ) ).
fof(d8_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_pl_axiom)) =>  (v2_hilbert1(A) <=>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) =>  (! [C] :  (m1_subset_1(C, k1_pl_axiom) =>  ( (r2_tarski(B, A) & r2_tarski(C, A))  => r2_tarski(k3_pl_axiom(B, C), A)) ) ) ) ) ) ) ) ).
fof(t17_pl_axiom, axiom, r1_tarski(k1_pl_axiom, k1_hilbert1)).
fof(d9_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) => k6_pl_axiom(A)=k3_pl_axiom(A, k2_pl_axiom)) ) ).
fof(d10_pl_axiom, axiom, k7_pl_axiom=k6_pl_axiom(k2_pl_axiom)).
fof(d11_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) => k8_pl_axiom(A, B)=k6_pl_axiom(k3_pl_axiom(A, k6_pl_axiom(B)))) ) ) ) ).
fof(d12_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) => k9_pl_axiom(A, B)=k3_pl_axiom(k6_pl_axiom(A), B)) ) ) ) ).
fof(d13_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) => k10_pl_axiom(A, B)=k8_pl_axiom(k3_pl_axiom(A, B), k3_pl_axiom(B, A))) ) ) ) ).
fof(d14_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k5_pl_axiom)) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_pl_axiom, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_pl_axiom, k5_margrel1)))) )  =>  (B=k11_pl_axiom(A) <=>  (k3_funct_2(k1_pl_axiom, k5_margrel1, B, k2_pl_axiom)=k5_numbers &  ( (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (k3_funct_2(k1_pl_axiom, k5_margrel1, B, k4_pl_axiom(C))=1 <=> r2_tarski(k4_pl_axiom(C), A)) ) )  &  (! [C] :  (m1_subset_1(C, k1_pl_axiom) =>  (! [D] :  (m1_subset_1(D, k1_pl_axiom) => k3_funct_2(k1_pl_axiom, k5_margrel1, B, k3_pl_axiom(C, D))=k6_xboolean(k3_funct_2(k1_pl_axiom, k5_margrel1, B, C), k3_funct_2(k1_pl_axiom, k5_margrel1, B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k5_pl_axiom)) =>  (k3_funct_2(k1_pl_axiom, k5_margrel1, k11_pl_axiom(C), k3_pl_axiom(A, B))=1 <=>  (k3_funct_2(k1_pl_axiom, k5_margrel1, k11_pl_axiom(C), A)=k5_numbers | k3_funct_2(k1_pl_axiom, k5_margrel1, k11_pl_axiom(C), B)=1) ) ) ) ) ) ) ) ).
fof(t19_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k5_pl_axiom)) => k3_funct_2(k1_pl_axiom, k5_margrel1, k11_pl_axiom(B), k6_pl_axiom(A))=k8_margrel1(k3_funct_2(k1_pl_axiom, k5_margrel1, k11_pl_axiom(B), A))) ) ) ) ).
fof(t20_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k5_pl_axiom)) =>  (k3_funct_2(k1_pl_axiom, k5_margrel1, k11_pl_axiom(B), k6_pl_axiom(A))=1 <=> k3_funct_2(k1_pl_axiom, k5_margrel1, k11_pl_axiom(B), A)=k5_numbers) ) ) ) ) ).
fof(t21_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k5_pl_axiom)) => k3_funct_2(k1_pl_axiom, k5_margrel1, k11_pl_axiom(C), k8_pl_axiom(A, B))=k9_margrel1(k3_funct_2(k1_pl_axiom, k5_margrel1, k11_pl_axiom(C), A), k3_funct_2(k1_pl_axiom, k5_margrel1, k11_pl_axiom(C), B))) ) ) ) ) ) ).
fof(t22_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k5_pl_axiom)) =>  (k3_funct_2(k1_pl_axiom, k5_margrel1, k11_pl_axiom(C), k8_pl_axiom(A, B))=1 <=>  (k3_funct_2(k1_pl_axiom, k5_margrel1, k11_pl_axiom(C), A)=1 & k3_funct_2(k1_pl_axiom, k5_margrel1, k11_pl_axiom(C), B)=1) ) ) ) ) ) ) ) ).
fof(t23_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k5_pl_axiom)) => k3_funct_2(k1_pl_axiom, k5_margrel1, k11_pl_axiom(C), k9_pl_axiom(A, B))=k5_xboolean(k3_funct_2(k1_pl_axiom, k5_margrel1, k11_pl_axiom(C), A), k3_funct_2(k1_pl_axiom, k5_margrel1, k11_pl_axiom(C), B))) ) ) ) ) ) ).
fof(t24_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k5_pl_axiom)) =>  (k3_funct_2(k1_pl_axiom, k5_margrel1, k11_pl_axiom(C), k9_pl_axiom(A, B))=1 <=>  (k3_funct_2(k1_pl_axiom, k5_margrel1, k11_pl_axiom(C), A)=1 | k3_funct_2(k1_pl_axiom, k5_margrel1, k11_pl_axiom(C), B)=1) ) ) ) ) ) ) ) ).
fof(t25_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k5_pl_axiom)) => k3_funct_2(k1_pl_axiom, k5_margrel1, k11_pl_axiom(C), k10_pl_axiom(A, B))=k7_xboolean(k3_funct_2(k1_pl_axiom, k5_margrel1, k11_pl_axiom(C), A), k3_funct_2(k1_pl_axiom, k5_margrel1, k11_pl_axiom(C), B))) ) ) ) ) ) ).
fof(t26_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k5_pl_axiom)) =>  (k3_funct_2(k1_pl_axiom, k5_margrel1, k11_pl_axiom(C), k10_pl_axiom(A, B))=1 <=> k3_funct_2(k1_pl_axiom, k5_margrel1, k11_pl_axiom(C), A)=k3_funct_2(k1_pl_axiom, k5_margrel1, k11_pl_axiom(C), B)) ) ) ) ) ) ) ).
fof(d15_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k5_pl_axiom)) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) =>  (r1_pl_axiom(A, B) <=> k3_funct_2(k1_pl_axiom, k5_margrel1, k11_pl_axiom(A), B)=1) ) ) ) ) ).
fof(d16_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k5_pl_axiom)) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_pl_axiom)) =>  (r2_pl_axiom(A, B) <=>  (! [C] :  (m1_subset_1(C, k1_pl_axiom) =>  (r2_tarski(C, B) => r1_pl_axiom(A, C)) ) ) ) ) ) ) ) ).
fof(d17_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_pl_axiom)) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) =>  (r3_pl_axiom(A, B) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k5_pl_axiom)) =>  (r2_pl_axiom(C, A) => r1_pl_axiom(C, B)) ) ) ) ) ) ) ) ).
fof(d18_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (v3_pl_axiom(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k5_pl_axiom)) => k3_funct_2(k1_pl_axiom, k5_margrel1, k11_pl_axiom(B), A)=1) ) ) ) ) ).
fof(t27_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (v3_pl_axiom(A) <=> r3_pl_axiom(k1_subset_1(k1_pl_axiom), A)) ) ) ).
fof(t28_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) => v3_pl_axiom(k3_pl_axiom(A, k3_pl_axiom(B, A)))) ) ) ) ).
fof(t29_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) =>  (! [C] :  (m1_subset_1(C, k1_pl_axiom) => v3_pl_axiom(k3_pl_axiom(k3_pl_axiom(A, k3_pl_axiom(B, C)), k3_pl_axiom(k3_pl_axiom(A, B), k3_pl_axiom(A, C))))) ) ) ) ) ) ).
fof(t30_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) => v3_pl_axiom(k3_pl_axiom(k3_pl_axiom(k6_pl_axiom(B), k6_pl_axiom(A)), k3_pl_axiom(k3_pl_axiom(k6_pl_axiom(B), A), B)))) ) ) ) ).
fof(t31_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) => v3_pl_axiom(k3_pl_axiom(k3_pl_axiom(A, B), k3_pl_axiom(k6_pl_axiom(B), k6_pl_axiom(A))))) ) ) ) ).
fof(t32_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) => v3_pl_axiom(k3_pl_axiom(k8_pl_axiom(A, B), A))) ) ) ) ).
fof(t33_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) => v3_pl_axiom(k3_pl_axiom(k8_pl_axiom(A, B), B))) ) ) ) ).
fof(t34_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) => v3_pl_axiom(k3_pl_axiom(A, k9_pl_axiom(A, B)))) ) ) ) ).
fof(t35_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) => v3_pl_axiom(k3_pl_axiom(B, k9_pl_axiom(A, B)))) ) ) ) ).
fof(t36_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) => v3_pl_axiom(k10_pl_axiom(k8_pl_axiom(A, B), k8_pl_axiom(B, A)))) ) ) ) ).
fof(t37_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) => v3_pl_axiom(k10_pl_axiom(k9_pl_axiom(A, B), k9_pl_axiom(B, A)))) ) ) ) ).
fof(t38_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) =>  (! [C] :  (m1_subset_1(C, k1_pl_axiom) => v3_pl_axiom(k10_pl_axiom(k8_pl_axiom(k8_pl_axiom(A, B), C), k8_pl_axiom(A, k8_pl_axiom(B, C))))) ) ) ) ) ) ).
fof(t39_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) =>  (! [C] :  (m1_subset_1(C, k1_pl_axiom) => v3_pl_axiom(k10_pl_axiom(k9_pl_axiom(k9_pl_axiom(A, B), C), k9_pl_axiom(A, k9_pl_axiom(B, C))))) ) ) ) ) ) ).
fof(t40_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) =>  (! [C] :  (m1_subset_1(C, k1_pl_axiom) => v3_pl_axiom(k10_pl_axiom(k8_pl_axiom(A, k9_pl_axiom(B, C)), k9_pl_axiom(k8_pl_axiom(A, B), k8_pl_axiom(A, C))))) ) ) ) ) ) ).
fof(t41_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) =>  (! [C] :  (m1_subset_1(C, k1_pl_axiom) => v3_pl_axiom(k10_pl_axiom(k9_pl_axiom(A, k8_pl_axiom(B, C)), k8_pl_axiom(k9_pl_axiom(A, B), k9_pl_axiom(A, C))))) ) ) ) ) ) ).
fof(t42_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) => v3_pl_axiom(k10_pl_axiom(k6_pl_axiom(k6_pl_axiom(A)), A))) ) ).
fof(t43_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) => v3_pl_axiom(k10_pl_axiom(k6_pl_axiom(k8_pl_axiom(A, B)), k9_pl_axiom(k6_pl_axiom(A), k6_pl_axiom(B))))) ) ) ) ).
fof(t44_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) => v3_pl_axiom(k10_pl_axiom(k6_pl_axiom(k9_pl_axiom(A, B)), k8_pl_axiom(k6_pl_axiom(A), k6_pl_axiom(B))))) ) ) ) ).
fof(t45_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) =>  (! [C] :  (m1_subset_1(C, k1_pl_axiom) => v3_pl_axiom(k3_pl_axiom(k3_pl_axiom(A, B), k3_pl_axiom(k3_pl_axiom(A, C), k3_pl_axiom(A, k8_pl_axiom(B, C)))))) ) ) ) ) ) ).
fof(t46_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) =>  (! [C] :  (m1_subset_1(C, k1_pl_axiom) => v3_pl_axiom(k3_pl_axiom(k3_pl_axiom(A, C), k3_pl_axiom(k3_pl_axiom(B, C), k3_pl_axiom(k9_pl_axiom(A, B), C))))) ) ) ) ) ) ).
fof(t47_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_pl_axiom)) =>  ( (r3_pl_axiom(C, A) & r3_pl_axiom(C, k3_pl_axiom(A, B)))  => r3_pl_axiom(C, B)) ) ) ) ) ) ) ).
fof(d19_pl_axiom, axiom,  (! [A] :  (v4_pl_axiom(A) <=>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) =>  (! [C] :  (m1_subset_1(C, k1_pl_axiom) =>  (! [D] :  (m1_subset_1(D, k1_pl_axiom) =>  (r2_tarski(k3_pl_axiom(B, k3_pl_axiom(C, B)), A) &  (r2_tarski(k3_pl_axiom(k3_pl_axiom(B, k3_pl_axiom(C, D)), k3_pl_axiom(k3_pl_axiom(B, C), k3_pl_axiom(B, D))), A) & r2_tarski(k3_pl_axiom(k3_pl_axiom(k6_pl_axiom(C), k6_pl_axiom(B)), k3_pl_axiom(k3_pl_axiom(k6_pl_axiom(C), B), C)), A)) ) ) ) ) ) ) ) ) ) ).
fof(d20_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_pl_axiom)) =>  (A=k12_pl_axiom <=>  (v4_pl_axiom(A) &  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_pl_axiom)) =>  (v4_pl_axiom(B) => r1_tarski(A, B)) ) ) ) ) ) ) ).
fof(d21_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) =>  (! [C] :  (m1_subset_1(C, k1_pl_axiom) =>  (r4_pl_axiom(A, B, C) <=> B=k3_pl_axiom(A, C)) ) ) ) ) ) ) ).
fof(d22_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (v5_pl_axiom(A) <=>  (? [B] :  (m1_subset_1(B, k1_pl_axiom) &  (? [C] :  (m1_subset_1(C, k1_pl_axiom) & A=k3_pl_axiom(B, k3_pl_axiom(C, B))) ) ) ) ) ) ) ).
fof(d23_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (v6_pl_axiom(A) <=>  (? [B] :  (m1_subset_1(B, k1_pl_axiom) &  (? [C] :  (m1_subset_1(C, k1_pl_axiom) &  (? [D] :  (m1_subset_1(D, k1_pl_axiom) & A=k3_pl_axiom(k3_pl_axiom(B, k3_pl_axiom(C, D)), k3_pl_axiom(k3_pl_axiom(B, C), k3_pl_axiom(B, D)))) ) ) ) ) ) ) ) ) ).
fof(d24_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (v7_pl_axiom(A) <=>  (? [B] :  (m1_subset_1(B, k1_pl_axiom) &  (? [C] :  (m1_subset_1(C, k1_pl_axiom) & A=k3_pl_axiom(k3_pl_axiom(k6_pl_axiom(C), k6_pl_axiom(B)), k3_pl_axiom(k3_pl_axiom(k6_pl_axiom(C), B), C))) ) ) ) ) ) ) ).
fof(t48_pl_axiom, axiom,  (! [A] :  (m2_subset_1(A, k1_pl_axiom, k12_pl_axiom) =>  ~ ( ( ~ (v5_pl_axiom(A))  &  ( ~ (v6_pl_axiom(A))  &  ~ (v7_pl_axiom(A)) ) ) ) ) ) ).
fof(t49_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_pl_axiom)) =>  ( ~ ( ( ~ (v5_pl_axiom(A))  &  ( ~ (v6_pl_axiom(A))  &  ~ (v7_pl_axiom(A)) ) ) )  => r3_pl_axiom(B, A)) ) ) ) ) ).
fof(d25_pl_axiom, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k1_pl_axiom) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_pl_axiom)) =>  (r5_pl_axiom(A, B, C) <=>  ~ ( ( ~ (r2_tarski(k1_funct_1(B, A), k12_pl_axiom))  &  ( ~ (r2_tarski(k1_funct_1(B, A), C))  &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, D) &  ( ~ (r1_xxreal_0(A, D))  &  (r1_xxreal_0(1, E) &  ( ~ (r1_xxreal_0(A, E))  & r4_pl_axiom(k7_partfun1(k1_pl_axiom, B, D), k7_partfun1(k1_pl_axiom, B, E), k7_partfun1(k1_pl_axiom, B, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d26_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_pl_axiom)) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) =>  (r6_pl_axiom(A, B) <=>  (? [C] :  (m2_finseq_1(C, k1_pl_axiom) &  (k1_funct_1(C, k3_finseq_1(C))=B &  (r1_xxreal_0(1, k3_finseq_1(C)) &  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, k3_finseq_1(C)))  => r5_pl_axiom(D, C, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_pl_axiom)) =>  (! [B] :  (m2_finseq_1(B, k1_pl_axiom) =>  (! [C] :  (m2_finseq_1(C, k1_pl_axiom) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(k1_nat_1(E, k3_finseq_1(B)), k3_finseq_1(C)) &  ( (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(1, F) & r1_xxreal_0(F, k3_finseq_1(B)))  => k1_funct_1(B, F)=k1_funct_1(C, k2_xcmplx_0(F, E))) ) )  &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k3_finseq_1(B)) & r5_pl_axiom(D, B, A)) ) ) )  => r5_pl_axiom(k2_xcmplx_0(D, E), C, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_pl_axiom)) =>  (! [B] :  (m2_finseq_1(B, k1_pl_axiom) =>  (! [C] :  (m2_finseq_1(C, k1_pl_axiom) =>  (! [D] :  (m2_finseq_1(D, k1_pl_axiom) =>  ( (D=k8_finseq_1(k1_pl_axiom, B, C) &  (r1_xxreal_0(1, k3_finseq_1(B)) &  (r1_xxreal_0(1, k3_finseq_1(C)) &  ( (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, k3_finseq_1(B)))  => r5_pl_axiom(E, B, A)) ) )  &  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, k3_finseq_1(C)))  => r5_pl_axiom(E, C, A)) ) ) ) ) ) )  =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, k3_finseq_1(D)))  => r5_pl_axiom(E, D, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_pl_axiom)) =>  (! [C] :  (m2_finseq_1(C, k1_pl_axiom) =>  (! [D] :  (m2_finseq_1(D, k1_pl_axiom) =>  ( (C=k8_finseq_1(k1_pl_axiom, D, k12_finseq_1(k1_pl_axiom, A)) &  (r1_xxreal_0(1, k3_finseq_1(D)) &  ( (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, k3_finseq_1(D)))  => r5_pl_axiom(E, D, B)) ) )  & r5_pl_axiom(k3_finseq_1(C), C, B)) ) )  =>  ( (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, k3_finseq_1(C)))  => r5_pl_axiom(E, C, B)) ) )  & r6_pl_axiom(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(t53_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_pl_axiom)) =>  ( (r2_tarski(A, k12_pl_axiom) | r2_tarski(A, B))  => r6_pl_axiom(B, A)) ) ) ) ) ).
fof(t54_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_pl_axiom)) =>  ( (r6_pl_axiom(C, A) & r6_pl_axiom(C, k3_pl_axiom(A, B)))  => r6_pl_axiom(C, B)) ) ) ) ) ) ) ).
fof(t55_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_pl_axiom)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_pl_axiom)) =>  ( (r1_tarski(B, C) & r6_pl_axiom(B, A))  => r6_pl_axiom(C, A)) ) ) ) ) ) ) ).
fof(t56_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_pl_axiom)) =>  (r6_pl_axiom(B, A) => r3_pl_axiom(B, A)) ) ) ) ) ).
fof(t57_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_pl_axiom)) => r6_pl_axiom(B, k3_pl_axiom(A, A))) ) ) ) ).
fof(t58_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_pl_axiom)) =>  (r6_pl_axiom(k4_subset_1(k1_pl_axiom, C, k6_domain_1(k1_pl_axiom, A)), B) => r6_pl_axiom(C, k3_pl_axiom(A, B))) ) ) ) ) ) ) ).
fof(t59_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_pl_axiom)) =>  (r6_pl_axiom(C, k3_pl_axiom(A, B)) => r6_pl_axiom(k4_subset_1(k1_pl_axiom, C, k6_domain_1(k1_pl_axiom, A)), B)) ) ) ) ) ) ) ).
fof(t60_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_pl_axiom)) => r6_pl_axiom(C, k3_pl_axiom(k6_pl_axiom(A), k3_pl_axiom(A, B)))) ) ) ) ) ) ).
fof(t61_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_pl_axiom)) => r6_pl_axiom(B, k3_pl_axiom(k3_pl_axiom(k6_pl_axiom(A), A), A))) ) ) ) ).
fof(d27_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_pl_axiom)) =>  (v8_pl_axiom(A) <=>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) =>  ~ ( (r6_pl_axiom(A, B) & r6_pl_axiom(A, k6_pl_axiom(B))) ) ) ) ) ) ) ).
fof(t62_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_pl_axiom)) =>  (v8_pl_axiom(A) <=>  ~ ( (! [B] :  (m1_subset_1(B, k1_pl_axiom) => r6_pl_axiom(A, B)) ) ) ) ) ) ).
fof(t63_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_pl_axiom)) =>  ( ~ (r6_pl_axiom(B, A))  => v8_pl_axiom(k4_subset_1(k1_pl_axiom, B, k6_domain_1(k1_pl_axiom, k6_pl_axiom(A))))) ) ) ) ) ).
fof(t64_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_pl_axiom)) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) =>  (r6_pl_axiom(A, B) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_pl_axiom)) &  (r1_tarski(C, A) &  (v1_finset_1(C) & r6_pl_axiom(C, B)) ) ) ) ) ) ) ) ) ).
fof(t65_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_pl_axiom)) =>  ~ ( ( ~ (v8_pl_axiom(A))  &  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_pl_axiom)) =>  ~ ( (v1_finset_1(B) &  ( ~ (v8_pl_axiom(B))  & r1_tarski(B, A)) ) ) ) ) ) ) ) ) ).
fof(d28_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_pl_axiom)) =>  (v9_pl_axiom(A) <=>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) =>  (r2_tarski(B, A) | r2_tarski(k6_pl_axiom(B), A)) ) ) ) ) ) ).
fof(t66_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_pl_axiom)) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_pl_axiom)) =>  ~ ( (r1_tarski(A, B) &  ( ~ (v8_pl_axiom(A))  & v8_pl_axiom(B)) ) ) ) ) ) ) ).
fof(t67_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_pl_axiom)) =>  (v8_pl_axiom(B) =>  (v8_pl_axiom(k4_subset_1(k1_pl_axiom, B, k6_domain_1(k1_pl_axiom, A))) | v8_pl_axiom(k4_subset_1(k1_pl_axiom, B, k6_domain_1(k1_pl_axiom, k6_pl_axiom(A))))) ) ) ) ) ) ).
fof(t68_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_pl_axiom)) =>  ~ ( (v8_pl_axiom(A) &  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_pl_axiom)) =>  ~ ( (r1_tarski(A, B) &  (v8_pl_axiom(B) & v9_pl_axiom(B)) ) ) ) ) ) ) ) ) ).
fof(t69_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_pl_axiom)) =>  ( (v9_pl_axiom(A) & v8_pl_axiom(A))  =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) =>  (r6_pl_axiom(A, B) <=> r2_tarski(B, A)) ) ) ) ) ) ).
fof(t70_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_pl_axiom)) =>  (r3_pl_axiom(B, A) => r6_pl_axiom(B, A)) ) ) ) ) ).
fof(t71_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (v3_pl_axiom(A) <=> r6_pl_axiom(k1_subset_1(k1_pl_axiom), A)) ) ) ).
fof(s1_pl_axiom, axiom,  ( (p1_s1_pl_axiom(k2_pl_axiom) &  ( (! [A] :  (m1_subset_1(A, k4_ordinal1) => p1_s1_pl_axiom(k4_pl_axiom(A))) )  &  (! [A] :  (m1_subset_1(A, k1_pl_axiom) =>  (! [B] :  (m1_subset_1(B, k1_pl_axiom) =>  ( (p1_s1_pl_axiom(A) & p1_s1_pl_axiom(B))  => p1_s1_pl_axiom(k3_pl_axiom(A, B))) ) ) ) ) ) )  =>  (! [A] :  (m1_subset_1(A, k1_pl_axiom) => p1_s1_pl_axiom(A)) ) ) ).
fof(dt_k2_pl_axiom, axiom, m1_subset_1(k2_pl_axiom, k1_pl_axiom)).
fof(dt_k3_pl_axiom, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_pl_axiom) & m1_subset_1(B, k1_pl_axiom))  => m1_subset_1(k3_pl_axiom(A, B), k1_pl_axiom)) ) ).
fof(dt_k4_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => m1_subset_1(k4_pl_axiom(A), k1_pl_axiom)) ) ).
fof(dt_k5_pl_axiom, axiom, m1_subset_1(k5_pl_axiom, k1_zfmisc_1(k1_pl_axiom))).
fof(dt_k6_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_pl_axiom) => m1_subset_1(k6_pl_axiom(A), k1_pl_axiom)) ) ).
fof(dt_k7_pl_axiom, axiom, m1_subset_1(k7_pl_axiom, k1_pl_axiom)).
fof(dt_k8_pl_axiom, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_pl_axiom) & m1_subset_1(B, k1_pl_axiom))  => m1_subset_1(k8_pl_axiom(A, B), k1_pl_axiom)) ) ).
fof(dt_k9_pl_axiom, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_pl_axiom) & m1_subset_1(B, k1_pl_axiom))  => m1_subset_1(k9_pl_axiom(A, B), k1_pl_axiom)) ) ).
fof(dt_k10_pl_axiom, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_pl_axiom) & m1_subset_1(B, k1_pl_axiom))  => m1_subset_1(k10_pl_axiom(A, B), k1_pl_axiom)) ) ).
fof(dt_k11_pl_axiom, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k5_pl_axiom)) =>  (v1_funct_1(k11_pl_axiom(A)) &  (v1_funct_2(k11_pl_axiom(A), k1_pl_axiom, k5_margrel1) & m1_subset_1(k11_pl_axiom(A), k1_zfmisc_1(k2_zfmisc_1(k1_pl_axiom, k5_margrel1)))) ) ) ) ).
fof(dt_k12_pl_axiom, axiom, m1_subset_1(k12_pl_axiom, k1_zfmisc_1(k1_pl_axiom))).
fof(fc1_pnproc_1, axiom,  (! [A, B, C, D] :  ( (m2_pnproc_1(B, A) &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k3_finseq_2(B))))  &  ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k3_finseq_2(B)))) ) )  =>  ~ (v1_xboole_0(k10_pnproc_1(A, B, C, D))) ) ) ).
fof(fc2_pnproc_1, axiom,  (! [A, B, C, D] :  ( (m2_pnproc_1(B, A) &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k3_finseq_2(B))))  &  ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k3_finseq_2(B)))) ) )  =>  ~ (v1_xboole_0(k11_pnproc_1(A, B, C, D))) ) ) ).
fof(d1_pnproc_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (r1_pnproc_1(A, B, C) <=>  (! [D] :  (r2_hidden(D, A) => k1_funct_1(B, D)=k1_funct_1(C, D)) ) ) ) ) ) ) ) ).
fof(d2_pnproc_1, axiom,  (! [A] : k1_pnproc_1(A)=k8_funcop_1(k4_ordinal1, A, k5_numbers)) ).
fof(d3_pnproc_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (r2_pnproc_1(A, B, C) <=>  (! [D] :  (r2_tarski(D, A) => r1_xxreal_0(k1_funct_1(B, D), k1_funct_1(C, D))) ) ) ) ) ) ) ) ).
fof(t1_pnproc_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  => r2_pnproc_1(A, k1_pnproc_1(A), B)) ) ) ).
fof(t2_pnproc_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k4_ordinal1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  ( (r2_pnproc_1(A, B, C) & r2_pnproc_1(A, C, D))  => r2_pnproc_1(A, B, D)) ) ) ) ) ) ) ) ).
fof(d4_pnproc_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k4_ordinal1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (D=k2_pnproc_1(A, B, C) <=>  (! [E] :  (r2_tarski(E, A) => k1_funct_1(D, E)=k2_xcmplx_0(k1_funct_1(B, E), k1_funct_1(C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t3_pnproc_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  => r1_pnproc_1(A, k2_pnproc_1(A, B, k1_pnproc_1(A)), B)) ) ) ).
fof(d5_pnproc_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (r2_pnproc_1(A, C, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k4_ordinal1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (D=k3_pnproc_1(A, B, C) <=>  (! [E] :  (r2_tarski(E, A) => k1_funct_1(D, E)=k6_xcmplx_0(k1_funct_1(B, E), k1_funct_1(C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_pnproc_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  => r2_pnproc_1(A, B, k2_pnproc_1(A, B, C))) ) ) ) ) ).
fof(t5_pnproc_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  => r1_pnproc_1(A, k3_pnproc_1(A, B, k1_pnproc_1(A)), B)) ) ) ).
fof(t6_pnproc_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k4_ordinal1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  ( (r2_pnproc_1(A, B, C) & r2_pnproc_1(A, C, D))  => r2_pnproc_1(A, k3_pnproc_1(A, D, C), k3_pnproc_1(A, D, B))) ) ) ) ) ) ) ) ).
fof(t7_pnproc_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  => r1_pnproc_1(A, k3_pnproc_1(A, k2_pnproc_1(A, B, C), C), B)) ) ) ) ) ).
fof(t8_pnproc_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k4_ordinal1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  ( (r2_pnproc_1(A, D, B) & r2_pnproc_1(A, B, C))  => r2_pnproc_1(A, k3_pnproc_1(A, B, D), k3_pnproc_1(A, C, D))) ) ) ) ) ) ) ) ).
fof(t9_pnproc_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k4_ordinal1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (r2_pnproc_1(A, B, C) => r1_pnproc_1(A, k3_pnproc_1(A, k2_pnproc_1(A, C, D), B), k2_pnproc_1(A, k3_pnproc_1(A, C, B), D))) ) ) ) ) ) ) ) ).
fof(t10_pnproc_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  ( (r2_pnproc_1(A, B, C) & r2_pnproc_1(A, C, B))  => r1_pnproc_1(A, B, C)) ) ) ) ) ) ).
fof(t11_pnproc_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k4_ordinal1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  => r1_pnproc_1(A, k2_pnproc_1(A, k2_pnproc_1(A, B, C), D), k2_pnproc_1(A, B, k2_pnproc_1(A, C, D)))) ) ) ) ) ) ) ).
fof(t12_pnproc_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k4_ordinal1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k4_ordinal1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  ( (r2_pnproc_1(A, B, C) & r2_pnproc_1(A, D, E))  => r2_pnproc_1(A, k2_pnproc_1(A, B, D), k2_pnproc_1(A, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t13_pnproc_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (r2_pnproc_1(A, B, C) => r2_pnproc_1(A, k3_pnproc_1(A, C, B), C)) ) ) ) ) ) ).
fof(t14_pnproc_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k4_ordinal1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k4_ordinal1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  ( (r2_pnproc_1(A, B, C) &  (r2_pnproc_1(A, D, E) & r2_pnproc_1(A, E, B)) )  => r2_pnproc_1(A, k3_pnproc_1(A, B, E), k3_pnproc_1(A, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t15_pnproc_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (r2_pnproc_1(A, B, C) => r1_pnproc_1(A, C, k2_pnproc_1(A, k3_pnproc_1(A, C, B), B))) ) ) ) ) ) ).
fof(t16_pnproc_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  => r1_pnproc_1(A, k3_pnproc_1(A, k2_pnproc_1(A, B, C), B), C)) ) ) ) ) ).
fof(t17_pnproc_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k4_ordinal1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (r2_pnproc_1(A, k2_pnproc_1(A, C, D), B) => r1_pnproc_1(A, k3_pnproc_1(A, k3_pnproc_1(A, B, C), D), k3_pnproc_1(A, B, k2_pnproc_1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t18_pnproc_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k4_ordinal1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  ( (r2_pnproc_1(A, D, C) & r2_pnproc_1(A, C, B))  => r1_pnproc_1(A, k3_pnproc_1(A, B, k3_pnproc_1(A, C, D)), k2_pnproc_1(A, k3_pnproc_1(A, B, C), D))) ) ) ) ) ) ) ) ).
fof(d6_pnproc_1, axiom,  (! [A] :  (! [B] :  (m1_pnproc_1(B, A) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  &  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k4_ordinal1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  & B=k4_tarski(C, D)) ) ) ) ) ) ) ).
fof(d7_pnproc_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  (m1_pnproc_1(C, A) =>  ( (r2_pnproc_1(A, k4_pnproc_1(A, C), B) => k6_pnproc_1(A, B, C)=k2_pnproc_1(A, k3_pnproc_1(A, B, k4_pnproc_1(A, C)), k5_pnproc_1(A, C)))  &  ( ~ (r2_pnproc_1(A, k4_pnproc_1(A, C), B))  => k6_pnproc_1(A, B, C)=B) ) ) ) ) ) ) ).
fof(t19_pnproc_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  (m1_pnproc_1(C, A) =>  (! [D] :  (m1_pnproc_1(D, A) =>  (r2_pnproc_1(A, k2_pnproc_1(A, k4_pnproc_1(A, C), k4_pnproc_1(A, D)), B) => r1_pnproc_1(A, k6_pnproc_1(A, k6_pnproc_1(A, B, C), D), k2_pnproc_1(A, k2_pnproc_1(A, k3_pnproc_1(A, k3_pnproc_1(A, B, k4_pnproc_1(A, C)), k4_pnproc_1(A, D)), k5_pnproc_1(A, C)), k5_pnproc_1(A, D)))) ) ) ) ) ) ) ) ).
fof(d8_pnproc_1, axiom,  (! [A] :  (! [B] :  (m1_pnproc_1(B, A) =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k7_pnproc_1(A, B) <=>  (k9_xtuple_0(C)=k9_funct_2(A, k4_ordinal1) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k4_ordinal1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  => k1_funct_1(C, D)=k6_pnproc_1(A, D, B)) ) ) ) ) ) ) ) ) ).
fof(t20_pnproc_1, axiom,  (! [A] :  (! [B] :  (m1_pnproc_1(B, A) => r1_tarski(k10_xtuple_0(k7_pnproc_1(A, B)), k9_funct_2(A, k4_ordinal1))) ) ) ).
fof(t21_pnproc_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  (m1_pnproc_1(C, A) =>  (! [D] :  (m1_pnproc_1(D, A) => k6_pnproc_1(A, k6_pnproc_1(A, B, C), D)=k1_funct_1(k3_relat_1(k7_pnproc_1(A, C), k7_pnproc_1(A, D)), B)) ) ) ) ) ) ) ).
fof(d9_pnproc_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (m2_pnproc_1(B, A) <=>  (! [C] :  (r2_tarski(C, B) => m1_pnproc_1(C, A)) ) ) ) ) ) ).
fof(d10_pnproc_1, axiom,  (! [A] :  (! [B] :  (m2_pnproc_1(B, A) =>  (! [C] :  (m2_finseq_2(C, B, k3_finseq_2(B)) =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (D=k8_pnproc_1(A, B, C) <=>  (? [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) &  (v1_funcop_1(E) & v1_finseq_1(E)) ) )  &  (D=k3_funct_7(k9_funct_2(A, k4_ordinal1), E) &  (k3_finseq_1(E)=k3_finseq_1(C) &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r2_tarski(F, k4_finseq_1(C)) => k1_funct_1(E, F)=k7_pnproc_1(A, k7_partfun1(B, C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_pnproc_1, axiom,  (! [A] :  (! [B] :  (m2_pnproc_1(B, A) => k8_pnproc_1(A, B, k2_pre_poly(B))=k6_partfun1(k9_funct_2(A, k4_ordinal1))) ) ) ).
fof(t23_pnproc_1, axiom,  (! [A] :  (! [B] :  (m2_pnproc_1(B, A) =>  (! [C] :  (m3_pnproc_1(C, A, B) => k8_pnproc_1(A, B, k3_pre_poly(B, C))=k7_pnproc_1(A, C)) ) ) ) ) ).
fof(t24_pnproc_1, axiom,  (! [A] :  (! [B] :  (m2_pnproc_1(B, A) =>  (! [C] :  (m3_pnproc_1(C, A, B) => k3_relat_1(k6_partfun1(k9_funct_2(A, k4_ordinal1)), k7_pnproc_1(A, C))=k7_pnproc_1(A, C)) ) ) ) ) ).
fof(t25_pnproc_1, axiom,  (! [A] :  (! [B] :  (m2_pnproc_1(B, A) =>  (! [C] :  (m3_pnproc_1(C, A, B) =>  (! [D] :  (m3_pnproc_1(D, A, B) => k8_pnproc_1(A, B, k4_pre_poly(B, C, D))=k3_relat_1(k7_pnproc_1(A, C), k7_pnproc_1(A, D))) ) ) ) ) ) ) ).
fof(t26_pnproc_1, axiom,  (! [A] :  (! [B] :  (m2_pnproc_1(B, A) =>  (! [C] :  (m2_finseq_2(C, B, k3_finseq_2(B)) =>  (k9_xtuple_0(k8_pnproc_1(A, B, C))=k9_funct_2(A, k4_ordinal1) & r1_tarski(k10_xtuple_0(k8_pnproc_1(A, B, C)), k9_funct_2(A, k4_ordinal1))) ) ) ) ) ) ).
fof(t27_pnproc_1, axiom,  (! [A] :  (! [B] :  (m2_pnproc_1(B, A) =>  (! [C] :  (m2_finseq_2(C, B, k3_finseq_2(B)) =>  (! [D] :  (m2_finseq_2(D, B, k3_finseq_2(B)) => k8_pnproc_1(A, B, k1_pre_poly(B, C, D))=k3_relat_1(k8_pnproc_1(A, B, C), k8_pnproc_1(A, B, D))) ) ) ) ) ) ) ).
fof(t28_pnproc_1, axiom,  (! [A] :  (! [B] :  (m2_pnproc_1(B, A) =>  (! [C] :  (m3_pnproc_1(C, A, B) =>  (! [D] :  (m2_finseq_2(D, B, k3_finseq_2(B)) => k8_pnproc_1(A, B, k1_pre_poly(B, D, k3_pre_poly(B, C)))=k3_relat_1(k8_pnproc_1(A, B, D), k7_pnproc_1(A, C))) ) ) ) ) ) ) ).
fof(d11_pnproc_1, axiom,  (! [A] :  (! [B] :  (m2_pnproc_1(B, A) =>  (! [C] :  (m2_finseq_2(C, B, k3_finseq_2(B)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k4_ordinal1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  => k9_pnproc_1(A, B, C, D)=k1_funct_1(k8_pnproc_1(A, B, C), D)) ) ) ) ) ) ) ).
fof(t29_pnproc_1, axiom,  (! [A] :  (! [B] :  (m2_pnproc_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_finseq_2(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_finseq_2(B))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k3_finseq_2(B))) => k10_pnproc_1(A, B, k4_subset_1(k3_finseq_2(B), D, E), C)=k4_subset_1(k3_finseq_2(B), k10_pnproc_1(A, B, D, C), k10_pnproc_1(A, B, E, C))) ) ) ) ) ) ) ) ) ).
fof(t30_pnproc_1, axiom,  (! [A] :  (! [B] :  (m2_pnproc_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_finseq_2(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_finseq_2(B))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k3_finseq_2(B))) => k10_pnproc_1(A, B, C, k4_subset_1(k3_finseq_2(B), D, E))=k4_subset_1(k3_finseq_2(B), k10_pnproc_1(A, B, C, D), k10_pnproc_1(A, B, C, E))) ) ) ) ) ) ) ) ) ).
fof(t31_pnproc_1, axiom,  (! [A] :  (! [B] :  (m2_pnproc_1(B, A) =>  (! [C] :  (m2_finseq_2(C, B, k3_finseq_2(B)) =>  (! [D] :  (m2_finseq_2(D, B, k3_finseq_2(B)) => k10_pnproc_1(A, B, k6_domain_1(k3_finseq_2(B), C), k6_domain_1(k3_finseq_2(B), D))=k6_domain_1(k3_finseq_2(B), k1_pre_poly(B, C, D))) ) ) ) ) ) ) ).
fof(t32_pnproc_1, axiom,  (! [A] :  (! [B] :  (m2_pnproc_1(B, A) =>  (! [C] :  (m2_finseq_2(C, B, k3_finseq_2(B)) =>  (! [D] :  (m2_finseq_2(D, B, k3_finseq_2(B)) =>  (! [E] :  (m2_finseq_2(E, B, k3_finseq_2(B)) => k10_pnproc_1(A, B, k7_domain_1(k3_finseq_2(B), D, E), k6_domain_1(k3_finseq_2(B), C))=k7_domain_1(k3_finseq_2(B), k1_pre_poly(B, D, C), k1_pre_poly(B, E, C))) ) ) ) ) ) ) ) ) ).
fof(t33_pnproc_1, axiom,  (! [A] :  (! [B] :  (m2_pnproc_1(B, A) =>  (! [C] :  (m2_finseq_2(C, B, k3_finseq_2(B)) =>  (! [D] :  (m2_finseq_2(D, B, k3_finseq_2(B)) =>  (! [E] :  (m2_finseq_2(E, B, k3_finseq_2(B)) => k10_pnproc_1(A, B, k6_domain_1(k3_finseq_2(B), C), k7_domain_1(k3_finseq_2(B), D, E))=k7_domain_1(k3_finseq_2(B), k1_pre_poly(B, C, D), k1_pre_poly(B, C, E))) ) ) ) ) ) ) ) ) ).
fof(t34_pnproc_1, axiom,  (! [A] :  (! [B] :  (m2_pnproc_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_finseq_2(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_finseq_2(B))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k3_finseq_2(B))) => k11_pnproc_1(A, B, k4_subset_1(k3_finseq_2(B), D, E), C)=k4_subset_1(k3_finseq_2(B), k11_pnproc_1(A, B, D, C), k11_pnproc_1(A, B, E, C))) ) ) ) ) ) ) ) ) ).
fof(t35_pnproc_1, axiom,  (! [A] :  (! [B] :  (m2_pnproc_1(B, A) =>  (! [C] :  (m3_pnproc_1(C, A, B) =>  (! [D] :  (m3_pnproc_1(D, A, B) => k11_pnproc_1(A, B, k6_domain_1(k3_finseq_2(B), k3_pre_poly(B, C)), k6_domain_1(k3_finseq_2(B), k3_pre_poly(B, D)))=k7_domain_1(k3_finseq_2(B), k4_pre_poly(B, C, D), k4_pre_poly(B, D, C))) ) ) ) ) ) ) ).
fof(t36_pnproc_1, axiom,  (! [A] :  (! [B] :  (m2_pnproc_1(B, A) =>  (! [C] :  (m3_pnproc_1(C, A, B) =>  (! [D] :  (m3_pnproc_1(D, A, B) =>  (! [E] :  (m3_pnproc_1(E, A, B) => k11_pnproc_1(A, B, k7_domain_1(k3_finseq_2(B), k3_pre_poly(B, D), k3_pre_poly(B, E)), k6_domain_1(k3_finseq_2(B), k3_pre_poly(B, C)))=k9_domain_1(k3_finseq_2(B), k4_pre_poly(B, D, C), k4_pre_poly(B, E, C), k4_pre_poly(B, C, D), k4_pre_poly(B, C, E))) ) ) ) ) ) ) ) ) ).
fof(t37_pnproc_1, axiom,  (! [A] :  (! [B] :  (m2_pnproc_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_finseq_2(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_finseq_2(B))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k3_finseq_2(B))) => k10_pnproc_1(A, B, k10_pnproc_1(A, B, C, D), E)=k10_pnproc_1(A, B, C, k10_pnproc_1(A, B, D, E))) ) ) ) ) ) ) ) ) ).
fof(t38_pnproc_1, axiom,  (! [A] :  (! [B] :  (m2_pnproc_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_finseq_2(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_finseq_2(B))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k3_finseq_2(B))) => k11_pnproc_1(A, B, k11_pnproc_1(A, B, C, D), E)=k11_pnproc_1(A, B, C, k11_pnproc_1(A, B, D, E))) ) ) ) ) ) ) ) ) ).
fof(t39_pnproc_1, axiom,  (! [A] :  (! [B] :  (m2_pnproc_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_finseq_2(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_finseq_2(B))) => r1_tarski(k10_pnproc_1(A, B, C, D), k11_pnproc_1(A, B, C, D))) ) ) ) ) ) ) ).
fof(t40_pnproc_1, axiom,  (! [A] :  (! [B] :  (m2_pnproc_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_finseq_2(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_finseq_2(B))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k3_finseq_2(B))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k3_finseq_2(B))) =>  ( (r1_tarski(C, E) & r1_tarski(D, F))  => r1_tarski(k10_pnproc_1(A, B, C, D), k10_pnproc_1(A, B, E, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_pnproc_1, axiom,  (! [A] :  (! [B] :  (m2_pnproc_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_finseq_2(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_finseq_2(B))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k3_finseq_2(B))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k3_finseq_2(B))) =>  ( (r1_tarski(C, E) & r1_tarski(D, F))  => r1_tarski(k11_pnproc_1(A, B, C, D), k11_pnproc_1(A, B, E, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_pnproc_1, axiom,  (! [A] :  (! [B] :  (m2_pnproc_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_finseq_2(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_finseq_2(B))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k3_finseq_2(B))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k3_finseq_2(B))) => r1_tarski(k10_pnproc_1(A, B, k11_pnproc_1(A, B, C, D), k11_pnproc_1(A, B, E, F)), k11_pnproc_1(A, B, k10_pnproc_1(A, B, C, E), k10_pnproc_1(A, B, D, F)))) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_pnproc_1, axiom,  (! [A] :  (! [B] :  (m2_pnproc_1(B, A) => k12_pnproc_1(A, B)=k6_domain_1(k3_finseq_2(B), k2_pre_poly(B))) ) ) ).
fof(d15_pnproc_1, axiom,  (! [A] :  (! [B] :  (m2_pnproc_1(B, A) =>  (! [C] :  (m3_pnproc_1(C, A, B) => k13_pnproc_1(A, B, C)=k6_domain_1(k3_finseq_2(B), k3_pre_poly(B, C))) ) ) ) ) ).
fof(t43_pnproc_1, axiom,  (! [A] :  (! [B] :  (m2_pnproc_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_finseq_2(B))) => k10_pnproc_1(A, B, k12_pnproc_1(A, B), C)=C) ) ) ) ) ).
fof(t44_pnproc_1, axiom,  (! [A] :  (! [B] :  (m2_pnproc_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_finseq_2(B))) => k10_pnproc_1(A, B, C, k12_pnproc_1(A, B))=C) ) ) ) ) ).
fof(t45_pnproc_1, axiom,  (! [A] :  (! [B] :  (m2_pnproc_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_finseq_2(B))) => k11_pnproc_1(A, B, k12_pnproc_1(A, B), C)=C) ) ) ) ) ).
fof(s1_pnproc_1, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, f1_s1_pnproc_1, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(f1_s1_pnproc_1, k4_ordinal1)))) )  &  (! [B] :  (r2_tarski(B, f1_s1_pnproc_1) => k1_funct_1(A, B)=f2_s1_pnproc_1(B)) ) ) ) ).
fof(dt_f2_s1_pnproc_1, axiom,  (! [A] : m1_subset_1(f2_s1_pnproc_1(A), k4_ordinal1)) ).
fof(symmetry_r1_pnproc_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) ) )  =>  (r1_pnproc_1(A, B, C) => r1_pnproc_1(A, C, B)) ) ) ).
fof(reflexivity_r1_pnproc_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) ) )  => r1_pnproc_1(A, B, B)) ) ).
fof(redefinition_r1_pnproc_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) ) )  =>  (r1_pnproc_1(A, B, C) <=> B=C) ) ) ).
fof(dt_k1_pnproc_1, axiom,  (! [A] :  (v1_funct_1(k1_pnproc_1(A)) &  (v1_funct_2(k1_pnproc_1(A), A, k4_ordinal1) & m1_subset_1(k1_pnproc_1(A), k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) ) ) ).
fof(reflexivity_r2_pnproc_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) ) )  => r2_pnproc_1(A, B, B)) ) ).
fof(dt_k2_pnproc_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) ) )  =>  (v1_funct_1(k2_pnproc_1(A, B, C)) &  (v1_funct_2(k2_pnproc_1(A, B, C), A, k4_ordinal1) & m1_subset_1(k2_pnproc_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) ) ) ) ).
fof(commutativity_k2_pnproc_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) ) )  => k2_pnproc_1(A, B, C)=k2_pnproc_1(A, C, B)) ) ).
fof(redefinition_k2_pnproc_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) ) )  => k2_pnproc_1(A, B, C)=k1_valued_1(B, C)) ) ).
fof(dt_k3_pnproc_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) ) )  =>  (v1_funct_1(k3_pnproc_1(A, B, C)) &  (v1_funct_2(k3_pnproc_1(A, B, C), A, k4_ordinal1) & m1_subset_1(k3_pnproc_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) ) ) ) ).
fof(existence_m1_pnproc_1, axiom,  (! [A] :  (? [B] : m1_pnproc_1(B, A)) ) ).
fof(dt_k4_pnproc_1, axiom,  (! [A, B] :  (m1_pnproc_1(B, A) =>  (v1_funct_1(k4_pnproc_1(A, B)) &  (v1_funct_2(k4_pnproc_1(A, B), A, k4_ordinal1) & m1_subset_1(k4_pnproc_1(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) ) ) ) ).
fof(redefinition_k4_pnproc_1, axiom,  (! [A, B] :  (m1_pnproc_1(B, A) => k4_pnproc_1(A, B)=k1_xtuple_0(B)) ) ).
fof(dt_k5_pnproc_1, axiom,  (! [A, B] :  (m1_pnproc_1(B, A) =>  (v1_funct_1(k5_pnproc_1(A, B)) &  (v1_funct_2(k5_pnproc_1(A, B), A, k4_ordinal1) & m1_subset_1(k5_pnproc_1(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) ) ) ) ).
fof(redefinition_k5_pnproc_1, axiom,  (! [A, B] :  (m1_pnproc_1(B, A) => k5_pnproc_1(A, B)=k2_xtuple_0(B)) ) ).
fof(dt_k6_pnproc_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  & m1_pnproc_1(C, A))  =>  (v1_funct_1(k6_pnproc_1(A, B, C)) &  (v1_funct_2(k6_pnproc_1(A, B, C), A, k4_ordinal1) & m1_subset_1(k6_pnproc_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) ) ) ) ).
fof(dt_k7_pnproc_1, axiom,  (! [A, B] :  (m1_pnproc_1(B, A) =>  (v1_relat_1(k7_pnproc_1(A, B)) & v1_funct_1(k7_pnproc_1(A, B))) ) ) ).
fof(dt_m2_pnproc_1, axiom,  (! [A] :  (! [B] :  (m2_pnproc_1(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ).
fof(existence_m2_pnproc_1, axiom,  (! [A] :  (? [B] : m2_pnproc_1(B, A)) ) ).
fof(dt_m3_pnproc_1, axiom,  (! [A, B] :  (m2_pnproc_1(B, A) =>  (! [C] :  (m3_pnproc_1(C, A, B) => m1_pnproc_1(C, A)) ) ) ) ).
fof(existence_m3_pnproc_1, axiom,  (! [A, B] :  (m2_pnproc_1(B, A) =>  (? [C] : m3_pnproc_1(C, A, B)) ) ) ).
fof(redefinition_m3_pnproc_1, axiom,  (! [A, B] :  (m2_pnproc_1(B, A) =>  (! [C] :  (m3_pnproc_1(C, A, B) <=> m1_subset_1(C, B)) ) ) ) ).
fof(dt_k8_pnproc_1, axiom,  (! [A, B, C] :  ( (m2_pnproc_1(B, A) & m1_subset_1(C, k3_finseq_2(B)))  =>  (v1_relat_1(k8_pnproc_1(A, B, C)) & v1_funct_1(k8_pnproc_1(A, B, C))) ) ) ).
fof(dt_k9_pnproc_1, axiom,  (! [A, B, C, D] :  ( (m2_pnproc_1(B, A) &  (m1_subset_1(C, k3_finseq_2(B)) &  (v1_funct_1(D) &  (v1_funct_2(D, A, k4_ordinal1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) ) ) )  =>  (v1_funct_1(k9_pnproc_1(A, B, C, D)) &  (v1_funct_2(k9_pnproc_1(A, B, C, D), A, k4_ordinal1) & m1_subset_1(k9_pnproc_1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) ) ) ) ).
fof(dt_k10_pnproc_1, axiom,  (! [A, B, C, D] :  ( (m2_pnproc_1(B, A) &  (m1_subset_1(C, k1_zfmisc_1(k3_finseq_2(B))) & m1_subset_1(D, k1_zfmisc_1(k3_finseq_2(B)))) )  => m1_subset_1(k10_pnproc_1(A, B, C, D), k1_zfmisc_1(k3_finseq_2(B)))) ) ).
fof(dt_k11_pnproc_1, axiom,  (! [A, B, C, D] :  ( (m2_pnproc_1(B, A) &  (m1_subset_1(C, k1_zfmisc_1(k3_finseq_2(B))) & m1_subset_1(D, k1_zfmisc_1(k3_finseq_2(B)))) )  => m1_subset_1(k11_pnproc_1(A, B, C, D), k1_zfmisc_1(k3_finseq_2(B)))) ) ).
fof(commutativity_k11_pnproc_1, axiom,  (! [A, B, C, D] :  ( (m2_pnproc_1(B, A) &  (m1_subset_1(C, k1_zfmisc_1(k3_finseq_2(B))) & m1_subset_1(D, k1_zfmisc_1(k3_finseq_2(B)))) )  => k11_pnproc_1(A, B, C, D)=k11_pnproc_1(A, B, D, C)) ) ).
fof(dt_k12_pnproc_1, axiom,  (! [A, B] :  (m2_pnproc_1(B, A) =>  ( ~ (v1_xboole_0(k12_pnproc_1(A, B)))  & m1_subset_1(k12_pnproc_1(A, B), k1_zfmisc_1(k3_finseq_2(B)))) ) ) ).
fof(dt_k13_pnproc_1, axiom,  (! [A, B, C] :  ( (m2_pnproc_1(B, A) & m1_subset_1(C, B))  =>  ( ~ (v1_xboole_0(k13_pnproc_1(A, B, C)))  & m1_subset_1(k13_pnproc_1(A, B, C), k1_zfmisc_1(k3_finseq_2(B)))) ) ) ).
fof(d12_pnproc_1, axiom,  (! [A] :  (! [B] :  (m2_pnproc_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_finseq_2(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_finseq_2(B))) => k10_pnproc_1(A, B, C, D)=a_4_0_pnproc_1(A, B, C, D)) ) ) ) ) ) ) ).
fof(d13_pnproc_1, axiom,  (! [A] :  (! [B] :  (m2_pnproc_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_finseq_2(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_finseq_2(B))) => k11_pnproc_1(A, B, C, D)=a_4_1_pnproc_1(A, B, C, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_pnproc_1, axiom,  (! [A, B, C, D, E] :  ( (m2_pnproc_1(C, B) &  (m1_subset_1(D, k1_zfmisc_1(k3_finseq_2(C))) & m1_subset_1(E, k1_zfmisc_1(k3_finseq_2(C)))) )  =>  (r2_hidden(A, a_4_0_pnproc_1(B, C, D, E)) <=>  (? [F, G] :  ( (m2_finseq_2(F, C, k3_finseq_2(C)) & m2_finseq_2(G, C, k3_finseq_2(C)))  &  (A=k1_pre_poly(C, F, G) &  (r2_tarski(F, D) & r2_tarski(G, E)) ) ) ) ) ) ) ).
fof(fraenkel_a_4_1_pnproc_1, axiom,  (! [A, B, C, D, E] :  ( (m2_pnproc_1(C, B) &  (m1_subset_1(D, k1_zfmisc_1(k3_finseq_2(C))) & m1_subset_1(E, k1_zfmisc_1(k3_finseq_2(C)))) )  =>  (r2_hidden(A, a_4_1_pnproc_1(B, C, D, E)) <=>  (? [F] :  (m2_finseq_2(F, C, k3_finseq_2(C)) &  (A=F &  (? [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) & v2_finseq_1(G)) )  &  (? [H] :  ( (v1_relat_1(H) &  (v1_funct_1(H) & v2_finseq_1(H)) )  &  (F=k2_xboole_0(G, H) &  (r1_xboole_0(G, H) &  (r2_tarski(k15_finseq_1(G), D) & r2_tarski(k15_finseq_1(H), E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_polnot_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v3_finseq_1(B))  =>  (v1_xboole_0(k2_polnot_1(A, B)) & v3_finseq_1(k2_polnot_1(A, B))) ) ) ).
fof(fc2_polnot_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v3_finseq_1(B))  =>  (v1_xboole_0(k2_polnot_1(B, A)) & v3_finseq_1(k2_polnot_1(B, A))) ) ) ).
fof(fc3_polnot_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v3_finseq_1(A))  &  ( ~ (v1_xboole_0(B))  & v3_finseq_1(B)) )  =>  ( ~ (v1_xboole_0(k2_polnot_1(A, B)))  & v3_finseq_1(k2_polnot_1(A, B))) ) ) ).
fof(fc4_polnot_1, axiom,  ( ~ (v1_xboole_0(k1_tarski(k1_xboole_0)))  & v3_finseq_1(k1_tarski(k1_xboole_0))) ).
fof(fc5_polnot_1, axiom,  (! [A, B] :  ( (v3_finseq_1(A) &  (v7_ordinal1(B) & v8_ordinal1(B)) )  =>  ( ~ (v1_xboole_0(k4_polnot_1(A, B)))  & v3_finseq_1(k4_polnot_1(A, B))) ) ) ).
fof(fc6_polnot_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  (v1_xboole_0(k4_polnot_1(A, B)) & v3_finseq_1(k4_polnot_1(A, B))) ) ) ).
fof(fc7_polnot_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v3_finseq_1(A))  & v7_ordinal1(B))  =>  ( ~ (v1_xboole_0(k4_polnot_1(A, B)))  & v3_finseq_1(k4_polnot_1(A, B))) ) ) ).
fof(rc1_polnot_1, axiom,  (! [A] :  (? [B] :  (m1_finseq_1(B, k1_zfmisc_1(A)) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k1_zfmisc_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) & v1_prob_2(B)) ) ) ) ) ) ) ) ) ) ).
fof(cc1_polnot_1, axiom,  (! [A] :  ( (v1_zfmisc_1(A) & v3_finseq_1(A))  =>  (v3_finseq_1(A) & v3_polnot_1(A)) ) ) ).
fof(rc2_polnot_1, axiom,  (? [A] :  (v4_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) ) ) ) ).
fof(cc2_polnot_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v3_finseq_1(A))  =>  (v3_finseq_1(A) & v3_polnot_1(A)) ) ) ).
fof(cc3_polnot_1, axiom,  (! [A] :  ( (v3_finseq_1(A) & v3_polnot_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (v3_finseq_1(B) & v3_polnot_1(B)) ) ) ) ) ).
fof(fc8_polnot_1, axiom,  (! [A, B] :  ( ( (v3_finseq_1(A) & v3_polnot_1(A))  &  (v3_finseq_1(B) & v3_polnot_1(B)) )  =>  (v3_finseq_1(k2_polnot_1(A, B)) & v3_polnot_1(k2_polnot_1(A, B))) ) ) ).
fof(fc9_polnot_1, axiom,  (! [A, B] :  ( ( (v3_finseq_1(A) & v3_polnot_1(A))  & v7_ordinal1(B))  =>  (v3_finseq_1(k4_polnot_1(A, B)) & v3_polnot_1(k4_polnot_1(A, B))) ) ) ).
fof(rc3_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k5_polnot_1(A))) &  (v4_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v3_finseq_1(B) & v3_polnot_1(B)) ) ) ) ) ) ) ).
fof(fc10_polnot_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  & v7_ordinal1(B))  =>  ( ~ (v1_xboole_0(k4_polnot_1(A, B)))  & v3_finseq_1(k4_polnot_1(A, B))) ) ) ).
fof(cc4_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k5_polnot_1(A))) =>  ( ( ~ (v1_xboole_0(B))  & v3_polnot_1(B))  =>  ( ~ (v1_xboole_0(B))  &  (v3_finseq_1(B) & v3_polnot_1(B)) ) ) ) ) ) ) ).
fof(fc11_polnot_1, axiom,  (! [A, B] :  ( ( (v3_finseq_1(A) & v3_polnot_1(A))  & v3_finseq_1(B))  =>  (v3_finseq_1(k2_polnot_1(A, B)) & v6_polnot_1(k2_polnot_1(A, B), A)) ) ) ).
fof(rc4_polnot_1, axiom,  (! [A] :  ( (v3_finseq_1(A) & v3_polnot_1(A))  =>  (? [B] :  (v4_funct_1(B) &  (v3_finseq_1(B) & v6_polnot_1(B, A)) ) ) ) ) ).
fof(cc5_polnot_1, axiom,  (! [A, B] :  ( ( (v3_finseq_1(A) & v3_polnot_1(A))  &  (v3_finseq_1(B) & v6_polnot_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => v6_polnot_1(C, A)) ) ) ) ).
fof(rc5_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (? [B] :  (v4_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v3_finseq_1(B) & v6_polnot_1(B, A)) ) ) ) ) ) ).
fof(fc12_polnot_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  & m1_polnot_1(B, A))  =>  ( ~ (v1_xboole_0(k7_polnot_1(A, B)))  & v3_polnot_1(k7_polnot_1(A, B))) ) ) ).
fof(fc13_polnot_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  &  (m1_polnot_1(B, A) &  ( ~ (v1_xboole_0(C))  &  (v3_polnot_1(C) & m1_subset_1(C, k1_zfmisc_1(k5_polnot_1(A)))) ) ) )  =>  ( ~ (v1_xboole_0(k6_polnot_1(A, B, C)))  & v3_polnot_1(k6_polnot_1(A, B, C))) ) ) ).
fof(fc14_polnot_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  &  (m1_polnot_1(B, A) & v7_ordinal1(C)) )  =>  ( ~ (v1_xboole_0(k10_polnot_1(A, B, C)))  & v3_polnot_1(k10_polnot_1(A, B, C))) ) ) ).
fof(rc6_polnot_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_finseq_1(B, k1_zfmisc_1(A)) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k1_zfmisc_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) &  (v1_prob_2(B) &  ~ (v7_polnot_1(B, k4_ordinal1, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc7_polnot_1, axiom,  (? [A] :  (v4_funct_1(A) &  (v3_finseq_1(A) &  (v1_setfam_1(A) & v3_polnot_1(A)) ) ) ) ).
fof(rc8_polnot_1, axiom,  (? [A] :  (v4_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) ) ) ) ) ).
fof(cc6_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (v3_finseq_1(A) &  (v1_setfam_1(A) & v3_polnot_1(A)) ) ) ) ).
fof(d2_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  (v3_finseq_1(B) =>  (! [C] :  (v3_finseq_1(C) =>  (C=k2_polnot_1(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (? [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  &  (? [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) )  &  (D=k7_finseq_1(E, F) &  (r2_tarski(E, A) & r2_tarski(F, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_polnot_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  ~ ( (k7_finseq_1(A, B)=k7_finseq_1(C, D) &  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  ( ~ (k7_finseq_1(A, E)=C)  &  ~ (A=k7_finseq_1(C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  (v3_finseq_1(B) =>  (! [C] :  (v3_finseq_1(C) => k2_polnot_1(k2_polnot_1(A, B), C)=k2_polnot_1(A, k2_polnot_1(B, C))) ) ) ) ) ) ).
fof(t3_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (k2_polnot_1(A, k1_tarski(k1_xboole_0))=A & k2_polnot_1(k1_tarski(k1_xboole_0), A)=A) ) ) ).
fof(d3_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (B=k3_polnot_1(A) <=>  (k9_xtuple_0(B)=k4_ordinal1 &  (k1_funct_1(B, k5_ordinal1)=k1_tarski(k1_xboole_0) &  (! [C] :  (v7_ordinal1(C) =>  (? [D] :  (v3_finseq_1(D) &  (D=k1_funct_1(B, C) & k1_funct_1(B, k2_xcmplx_0(C, 1))=k2_polnot_1(D, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  (v7_ordinal1(B) => k4_polnot_1(A, B)=k1_funct_1(k3_polnot_1(A), B)) ) ) ) ).
fof(t4_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) => r2_tarski(k1_xboole_0, k4_polnot_1(A, k5_ordinal1))) ) ).
fof(t5_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  (r2_hidden(B, k5_polnot_1(A)) <=>  (? [C] :  (v7_ordinal1(C) & r2_hidden(B, k4_polnot_1(A, C))) ) ) ) ) ) ).
fof(t6_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (k4_polnot_1(A, k5_ordinal1)=k1_tarski(k1_xboole_0) &  (! [B] :  (v7_ordinal1(B) => k4_polnot_1(A, k2_xcmplx_0(B, 1))=k2_polnot_1(k4_polnot_1(A, B), A)) ) ) ) ) ).
fof(t7_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) => k4_polnot_1(A, 1)=A) ) ).
fof(t8_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  (v7_ordinal1(B) => r1_tarski(k4_polnot_1(A, B), k5_polnot_1(A))) ) ) ) ).
fof(t9_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (r2_tarski(k1_xboole_0, k5_polnot_1(A)) & r1_tarski(A, k5_polnot_1(A))) ) ) ).
fof(t10_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k4_polnot_1(A, k2_xcmplx_0(B, C))=k2_polnot_1(k4_polnot_1(A, B), k4_polnot_1(A, C))) ) ) ) ) ) ).
fof(t11_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(B, k4_polnot_1(A, D)) & r2_tarski(C, k4_polnot_1(A, E)))  => r2_tarski(k7_finseq_1(B, C), k4_polnot_1(A, k2_xcmplx_0(D, E)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ( (r2_tarski(B, k5_polnot_1(A)) & r2_tarski(C, k5_polnot_1(A)))  => r2_tarski(k7_finseq_1(B, C), k5_polnot_1(A))) ) ) ) ) ) ) ).
fof(t13_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  (v3_finseq_1(B) =>  (! [C] :  (v3_finseq_1(C) =>  ( (r1_tarski(A, k5_polnot_1(C)) & r1_tarski(B, k5_polnot_1(C)))  => r1_tarski(k2_polnot_1(A, B), k5_polnot_1(C))) ) ) ) ) ) ) ).
fof(t14_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  (v3_finseq_1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_tarski(B, k5_polnot_1(A)) => r1_tarski(k4_polnot_1(B, C), k5_polnot_1(A))) ) ) ) ) ) ) ).
fof(t15_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  (v3_finseq_1(B) =>  (r1_tarski(B, k5_polnot_1(A)) => r1_tarski(k5_polnot_1(B), k5_polnot_1(A))) ) ) ) ) ).
fof(t16_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  (v3_finseq_1(B) =>  (! [C] :  (v3_finseq_1(C) =>  (! [D] :  (v3_finseq_1(D) =>  ( (r1_tarski(A, B) & r1_tarski(C, D))  => r1_tarski(k2_polnot_1(A, C), k2_polnot_1(B, D))) ) ) ) ) ) ) ) ) ).
fof(t17_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  (v3_finseq_1(B) =>  (r1_tarski(A, B) =>  (! [C] :  (v7_ordinal1(C) => r1_tarski(k4_polnot_1(A, C), k4_polnot_1(B, C))) ) ) ) ) ) ) ).
fof(d6_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k5_polnot_1(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k5_polnot_1(A))) =>  (D=k6_polnot_1(A, B, C) <=>  (! [E] :  (r2_hidden(E, D) <=>  (r2_hidden(E, k5_polnot_1(A)) &  (? [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) )  &  (? [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) & v1_finseq_1(G)) )  &  (? [H] :  (v7_ordinal1(H) &  (E=k7_finseq_1(F, G) &  (r2_tarski(F, A) &  (H=k1_funct_1(B, F) & r2_tarski(G, k4_polnot_1(C, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k5_polnot_1(A))) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) )  =>  ( (r2_tarski(E, A) &  (D=k1_funct_1(B, E) & r2_tarski(F, k4_polnot_1(C, D))) )  => r2_tarski(k7_finseq_1(E, F), k6_polnot_1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k5_polnot_1(A))) =>  (C=k7_polnot_1(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (r2_hidden(D, A) & k1_funct_1(B, D)=k5_ordinal1) ) ) ) ) ) ) ) ) ) ).
fof(t19_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k5_polnot_1(A))) => r1_tarski(k7_polnot_1(A, B), k6_polnot_1(A, B, C))) ) ) ) ) ) ).
fof(t20_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k5_polnot_1(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k5_polnot_1(A))) =>  (r1_tarski(C, D) => r1_tarski(k6_polnot_1(A, B, C), k6_polnot_1(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t21_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k5_polnot_1(A))) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  ~ ( (r2_tarski(D, k6_polnot_1(A, B, C)) &  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) )  =>  ~ ( (r2_tarski(E, A) & D=k7_finseq_1(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k9_polnot_1(A, B) <=>  (k9_xtuple_0(C)=k4_ordinal1 &  (k1_funct_1(C, k5_ordinal1)=k7_polnot_1(A, B) &  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(k5_polnot_1(A))) &  (E=k1_funct_1(C, D) & k1_funct_1(C, k2_xcmplx_0(D, 1))=k6_polnot_1(A, B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  (v7_ordinal1(C) => k10_polnot_1(A, B, C)=k1_funct_1(k9_polnot_1(A, B), C)) ) ) ) ) ) ).
fof(t22_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  => k10_polnot_1(A, B, k5_ordinal1)=k7_polnot_1(A, B)) ) ) ) ).
fof(t23_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  (v7_ordinal1(C) => k10_polnot_1(A, B, k2_xcmplx_0(C, 1))=k6_polnot_1(A, B, k10_polnot_1(A, B, C))) ) ) ) ) ) ).
fof(t24_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  (v7_ordinal1(C) => r1_tarski(k10_polnot_1(A, B, C), k10_polnot_1(A, B, k2_xcmplx_0(C, 1)))) ) ) ) ) ) ).
fof(t25_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) => r1_tarski(k10_polnot_1(A, B, C), k10_polnot_1(A, B, k2_xcmplx_0(C, D)))) ) ) ) ) ) ) ) ).
fof(t26_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  (v7_ordinal1(C) => r1_tarski(k10_polnot_1(A, B, C), k11_polnot_1(A, B))) ) ) ) ) ) ).
fof(t27_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  ~ ( (r2_tarski(D, k4_polnot_1(k11_polnot_1(A, B), C)) &  (! [E] :  (v7_ordinal1(E) =>  ~ (r2_tarski(D, k4_polnot_1(k10_polnot_1(A, B, E), C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  ~ ( (r2_hidden(C, k11_polnot_1(A, B)) &  (! [D] :  (v7_ordinal1(D) =>  ~ (r2_hidden(C, k10_polnot_1(A, B, k2_xcmplx_0(D, 1)))) ) ) ) ) ) ) ) ) ) ).
fof(d12_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (r2_tarski(D, A) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_polnot_1(k11_polnot_1(A, B), C), k5_polnot_1(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_polnot_1(k11_polnot_1(A, B), C), k5_polnot_1(A))))) )  =>  (E=k12_polnot_1(A, B, C, D) <=>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) )  =>  (r2_tarski(F, k9_xtuple_0(E)) => k1_funct_1(E, F)=k7_finseq_1(D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_polnot_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_zfmisc_1(B)))))  =>  (v1_prob_2(C) <=>  (! [D] :  (! [E] :  ( (r2_hidden(D, k9_xtuple_0(C)) & r2_hidden(E, k9_xtuple_0(C)))  =>  (D=E | r1_xboole_0(k1_funct_1(C, D), k1_funct_1(C, E))) ) ) ) ) ) ) ) ) ).
fof(t29_polnot_1, axiom,  (! [A] :  (! [B] :  ( (v1_prob_2(B) & m2_finseq_1(B, k1_zfmisc_1(A)))  =>  (! [C] :  (! [D] :  (! [E] :  ( (r2_hidden(C, k1_funct_1(B, D)) & r2_hidden(C, k1_funct_1(B, E)))  =>  (D=E & r2_hidden(D, k9_xtuple_0(B))) ) ) ) ) ) ) ) ).
fof(d14_polnot_1, axiom,  (! [A] :  (! [B] :  ( (v1_prob_2(B) & m2_finseq_1(B, k1_zfmisc_1(A)))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (C=k13_polnot_1(A, B) <=>  (! [D] :  ~ ( (r2_hidden(D, A) &  ( ~ ( ( (? [E] :  (v7_ordinal1(E) & r2_hidden(D, k1_funct_1(B, E))) )  & r2_hidden(D, k1_funct_1(B, k1_funct_1(C, D)))) )  &  ~ ( ( (! [E] :  (v7_ordinal1(E) =>  ~ (r2_hidden(D, k1_funct_1(B, E))) ) )  & k1_funct_1(C, D)=k5_ordinal1) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_polnot_1, axiom,  (! [A] :  (! [B] :  ( (v1_prob_2(B) & m2_finseq_1(B, k1_zfmisc_1(A)))  =>  (! [C] :  (r2_hidden(C, A) =>  ( ~ ( ( ~ (k1_funct_1(k13_polnot_1(A, B), C)=k5_ordinal1)  &  (! [D] :  (v7_ordinal1(D) =>  ~ (r2_hidden(C, k1_funct_1(B, D))) ) ) ) )  &  ~ ( ( (? [D] :  (v7_ordinal1(D) & r2_hidden(C, k1_funct_1(B, D))) )  & k1_funct_1(k13_polnot_1(A, B), C)=k5_ordinal1) ) ) ) ) ) ) ) ).
fof(t31_polnot_1, axiom,  (! [A] :  (! [B] :  ( (v1_prob_2(B) & m2_finseq_1(B, k1_zfmisc_1(A)))  =>  (! [C] :  (! [D] :  (v7_ordinal1(D) =>  (r2_hidden(C, k1_funct_1(B, D)) => k1_funct_1(k13_polnot_1(A, B), C)=D) ) ) ) ) ) ) ).
fof(t32_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ~ ( (r2_tarski(C, k11_polnot_1(A, B)) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) )  =>  ~ ( (r2_tarski(E, A) &  (D=k1_funct_1(B, E) &  (r2_tarski(F, k4_polnot_1(k11_polnot_1(A, B), D)) & C=k7_finseq_1(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  (v3_finseq_1(C) =>  (v2_polnot_1(C, A, B) <=>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) )  =>  ( (r2_tarski(D, A) &  (E=k1_funct_1(B, D) & r2_tarski(F, k4_polnot_1(C, E))) )  => r2_tarski(k7_finseq_1(D, F), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  => v2_polnot_1(k11_polnot_1(A, B), A, B)) ) ) ) ).
fof(t34_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  (v3_finseq_1(C) =>  (v2_polnot_1(C, A, B) => r1_tarski(k7_polnot_1(A, B), C)) ) ) ) ) ) ) ).
fof(t35_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  (v3_finseq_1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (v2_polnot_1(C, A, B) => r1_tarski(k10_polnot_1(A, B, D), C)) ) ) ) ) ) ) ) ) ).
fof(t36_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  => r1_tarski(k7_polnot_1(A, B), k11_polnot_1(A, B))) ) ) ) ).
fof(t37_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  (v3_finseq_1(C) =>  (v2_polnot_1(C, A, B) => r1_tarski(k11_polnot_1(A, B), C)) ) ) ) ) ) ) ).
fof(t38_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ~ ( (r2_tarski(C, k11_polnot_1(A, B)) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) )  =>  ~ ( (r2_tarski(E, A) &  (D=k1_funct_1(B, E) & C=k1_funct_1(k12_polnot_1(A, B, D, E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  ( (r2_tarski(D, A) &  (C=k1_funct_1(B, D) & r2_tarski(E, k4_polnot_1(k11_polnot_1(A, B), C))) )  => r2_tarski(k1_funct_1(k12_polnot_1(A, B, C, D), E), k11_polnot_1(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (v3_polnot_1(A) <=>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ( (r2_tarski(B, A) & r2_tarski(k7_finseq_1(B, C), A))  => C=k1_xboole_0) ) ) ) ) ) ) ) ).
fof(t40_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (v3_polnot_1(A) <=>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ( (r2_tarski(B, A) & r2_tarski(k7_finseq_1(B, C), A))  => B=k7_finseq_1(B, C)) ) ) ) ) ) ) ) ).
fof(t41_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  (v3_finseq_1(B) =>  ( (r1_tarski(A, B) & v3_polnot_1(B))  => v3_polnot_1(A)) ) ) ) ) ).
fof(t42_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  (A=k1_tarski(B) => v3_polnot_1(A)) ) ) ) ).
fof(d17_polnot_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k13_finseq_1(A))) =>  (v3_polnot_1(B) <=>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  ( (r2_tarski(C, B) & r2_tarski(k8_finseq_1(A, C, D), B))  => D=k6_finseq_1(A)) ) ) ) ) ) ) ) ) ) ).
fof(t43_polnot_1, axiom,  (! [A] :  ( (v3_finseq_1(A) & v3_polnot_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  ( (k7_finseq_1(B, C)=k7_finseq_1(D, E) &  (r2_tarski(B, A) & r2_tarski(D, A)) )  =>  (B=D & C=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  ( (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ( (r2_tarski(B, A) & r2_tarski(C, A))  => k9_xtuple_0(B)=k9_xtuple_0(C)) ) ) ) )  => v3_polnot_1(A)) ) ) ).
fof(t45_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  ( (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r2_tarski(C, A) => k9_xtuple_0(C)=B) ) )  => v3_polnot_1(A)) ) ) ) ).
fof(t46_polnot_1, axiom,  (! [A] :  ( (v3_finseq_1(A) & v3_polnot_1(A))  =>  (r2_tarski(k1_xboole_0, A) => A=k1_tarski(k1_xboole_0)) ) ) ).
fof(d18_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (m1_polnot_1(B, A) <=>  (? [C] :  (r2_hidden(C, A) & k1_funct_1(B, C)=k5_ordinal1) ) ) ) ) ) ) ).
fof(d19_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v3_polnot_1(C) & m1_subset_1(C, k1_zfmisc_1(k5_polnot_1(A)))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k5_polnot_1(A))) =>  (D=k6_polnot_1(A, B, C) <=>  (! [E] :  (r2_hidden(E, D) <=>  (? [F] :  (m1_subset_1(F, A) &  (? [G] :  (m1_subset_1(G, k5_polnot_1(A)) &  (E=k7_finseq_1(F, G) & r2_tarski(G, k4_polnot_1(C, k14_polnot_1(A, B, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d20_polnot_1, axiom,  (! [A] :  ( (v3_finseq_1(A) & v3_polnot_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (v5_polnot_1(B, A) <=>  (? [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  &  (? [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  &  (r2_tarski(C, A) & B=k7_finseq_1(C, D)) ) ) ) ) ) ) ) ) ) ).
fof(d21_polnot_1, axiom,  (! [A] :  ( (v3_finseq_1(A) & v3_polnot_1(A))  =>  (! [B] :  (v3_finseq_1(B) =>  (v6_polnot_1(B, A) <=>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r2_tarski(C, B) => v5_polnot_1(C, A)) ) ) ) ) ) ) ) ).
fof(t47_polnot_1, axiom,  (! [A] :  ( (v3_finseq_1(A) & v3_polnot_1(A))  =>  (! [B] :  ( (v3_finseq_1(B) & v3_polnot_1(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ( (v5_polnot_1(C, A) & r1_tarski(A, B))  => v5_polnot_1(C, B)) ) ) ) ) ) ) ).
fof(t48_polnot_1, axiom,  (! [A] :  ( (v3_finseq_1(A) & v3_polnot_1(A))  =>  (! [B] :  ( (v3_finseq_1(B) & v3_polnot_1(B))  =>  (! [C] :  (v3_finseq_1(C) =>  ( (v6_polnot_1(C, A) & r1_tarski(A, B))  => v6_polnot_1(C, B)) ) ) ) ) ) ) ).
fof(t49_polnot_1, axiom,  (! [A] :  ( (v3_finseq_1(A) & v3_polnot_1(A))  =>  (! [B] :  ( (v3_finseq_1(B) & v3_polnot_1(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (v5_polnot_1(C, k2_polnot_1(A, B)) => v5_polnot_1(C, A)) ) ) ) ) ) ) ).
fof(t50_polnot_1, axiom,  (! [A] :  ( (v3_finseq_1(A) & v3_polnot_1(A))  => v6_polnot_1(A, A)) ) ).
fof(t51_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => v6_polnot_1(k4_polnot_1(A, k2_xcmplx_0(B, C)), k4_polnot_1(A, B))) ) ) ) ) ) ).
fof(d22_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ( (v5_polnot_1(B, A) =>  (C=k15_polnot_1(A, B) <=>  (r2_tarski(C, A) &  (? [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  & B=k7_finseq_1(C, D)) ) ) ) )  &  ( ~ (v5_polnot_1(B, A))  =>  (C=k15_polnot_1(A, B) <=> C=k1_xboole_0) ) ) ) ) ) ) ) ) ).
fof(d23_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (C=k16_polnot_1(A, B) <=> B=k7_finseq_1(k15_polnot_1(A, B), C)) ) ) ) ) ) ) ).
fof(t52_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r2_tarski(B, A) =>  (k15_polnot_1(A, k7_finseq_1(B, C))=B & k16_polnot_1(A, k7_finseq_1(B, C))=C) ) ) ) ) ) ) ) ).
fof(t53_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r2_tarski(B, A) =>  (k15_polnot_1(A, B)=B & k16_polnot_1(A, B)=k1_xboole_0) ) ) ) ) ) ).
fof(t54_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v3_finseq_1(B) & v3_polnot_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r2_tarski(C, k2_polnot_1(A, B)) =>  (r2_tarski(k15_polnot_1(A, C), A) & r2_tarski(k16_polnot_1(A, C), B)) ) ) ) ) ) ) ) ).
fof(t55_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v3_finseq_1(B) & v3_polnot_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ( (r1_tarski(A, B) & v5_polnot_1(C, A))  =>  (k15_polnot_1(A, C)=k15_polnot_1(B, C) & k16_polnot_1(A, C)=k16_polnot_1(B, C)) ) ) ) ) ) ) ) ).
fof(t56_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (v5_polnot_1(B, A) =>  (v5_polnot_1(k7_finseq_1(B, C), A) &  (k15_polnot_1(A, k7_finseq_1(B, C))=k15_polnot_1(A, B) & k16_polnot_1(A, k7_finseq_1(B, C))=k7_finseq_1(k16_polnot_1(A, B), C)) ) ) ) ) ) ) ) ) ).
fof(t57_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  ( (r1_xxreal_0(k2_xcmplx_0(B, 1), C) & r2_tarski(D, k4_polnot_1(A, C)))  =>  (v5_polnot_1(D, k4_polnot_1(A, B)) & v5_polnot_1(k16_polnot_1(k4_polnot_1(A, B), D), A)) ) ) ) ) ) ) ) ) ) ).
fof(t58_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (v5_polnot_1(B, k4_polnot_1(A, k5_ordinal1)) &  (k15_polnot_1(k4_polnot_1(A, k5_ordinal1), B)=k1_xboole_0 & k16_polnot_1(k4_polnot_1(A, k5_ordinal1), B)=B) ) ) ) ) ) ).
fof(d25_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (m1_polnot_1(B, A) => k20_polnot_1(A, B)=k11_polnot_1(A, B)) ) ) ) ).
fof(d26_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) => k21_polnot_1(A, B, C)=k12_polnot_1(A, B, k14_polnot_1(A, B, C), C)) ) ) ) ) ) ).
fof(d27_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (k14_polnot_1(A, B, C)=1 => k22_polnot_1(A, B, C)=k21_polnot_1(A, B, C)) ) ) ) ) ) ) ).
fof(d28_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (k14_polnot_1(A, B, C)=2 =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k20_polnot_1(A, B), k20_polnot_1(A, B)), k20_polnot_1(A, B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k20_polnot_1(A, B), k20_polnot_1(A, B)), k20_polnot_1(A, B))))) )  =>  (D=k23_polnot_1(A, B, C) <=>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) )  =>  ( (r2_tarski(E, k20_polnot_1(A, B)) & r2_tarski(F, k20_polnot_1(A, B)))  => k1_binop_1(D, E, F)=k1_funct_1(k21_polnot_1(A, B, C), k7_finseq_1(E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d29_polnot_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_zfmisc_1(B)))))  =>  (v7_polnot_1(C, A, B) <=>  (! [D] :  ~ ( (r2_hidden(D, B) &  (! [E] :  ~ ( (r2_hidden(E, k9_xtuple_0(C)) & r2_hidden(D, k1_funct_1(C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_polnot_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_zfmisc_1(B)))))  =>  ( ~ ( ( ~ (v7_polnot_1(C, A, B))  &  (! [D] :  ~ ( (r2_hidden(D, B) &  (! [E] :  ~ ( (r2_hidden(E, k9_xtuple_0(C)) & r2_hidden(D, k1_funct_1(C, E))) ) ) ) ) ) ) )  &  ~ ( ( (? [D] :  (r2_hidden(D, B) &  (! [E] :  ~ ( (r2_hidden(E, k9_xtuple_0(C)) & r2_hidden(D, k1_funct_1(C, E))) ) ) ) )  & v7_polnot_1(C, A, B)) ) ) ) ) ) ) ).
fof(d30_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  ( (v1_prob_2(B) &  ( ~ (v7_polnot_1(B, k4_ordinal1, A))  & m2_finseq_1(B, k1_zfmisc_1(A))) )  => k24_polnot_1(A, B)=k13_polnot_1(A, B)) ) ) ) ).
fof(d31_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, k4_polnot_1(A, k2_xcmplx_0(k2_xcmplx_0(B, 1), C))) => k25_polnot_1(A, B, C, D)=k15_polnot_1(A, k16_polnot_1(k4_polnot_1(A, B), D))) ) ) ) ) ) ) ) ).
fof(d32_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k4_polnot_1(A, B)) =>  (! [D] :  (m2_finseq_1(D, A) =>  (D=k26_polnot_1(A, B, C) <=>  (k9_xtuple_0(D)=k2_finseq_1(B) &  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_tarski(E, k2_finseq_1(B)) &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (E=k2_xcmplx_0(F, 1) & k1_funct_1(D, E)=k15_polnot_1(A, k16_polnot_1(k4_polnot_1(A, F), C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v3_finseq_1(B) & v3_polnot_1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, k4_polnot_1(A, C)) =>  (! [E] :  (m1_subset_1(E, k4_polnot_1(B, C)) =>  ( (r1_tarski(A, B) & D=E)  => k26_polnot_1(A, C, D)=k26_polnot_1(B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k4_polnot_1(A, k5_ordinal1)) => k26_polnot_1(A, k5_ordinal1, B)=k1_xboole_0) ) ) ) ).
fof(t62_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k4_polnot_1(A, B)) => k3_finseq_1(k26_polnot_1(A, B, C))=B) ) ) ) ) ) ).
fof(t63_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k4_polnot_1(A, 1)) => k26_polnot_1(A, 1, B)=k12_finseq_1(k4_polnot_1(A, 1), B)) ) ) ) ).
fof(t64_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, k4_polnot_1(A, 2)) =>  (D=k7_finseq_1(B, C) => k26_polnot_1(A, 2, D)=k10_finseq_1(B, C)) ) ) ) ) ) ) ) ) ).
fof(t65_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (m1_polnot_1(B, A) => v6_polnot_1(k20_polnot_1(A, B), A)) ) ) ) ).
fof(t66_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (! [C] :  (v7_ordinal1(C) => v6_polnot_1(k19_polnot_1(A, B, C), A)) ) ) ) ) ) ).
fof(d33_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (! [C] :  (m2_subset_1(C, k5_polnot_1(A), k20_polnot_1(A, B)) => k27_polnot_1(A, B, C)=k15_polnot_1(A, C)) ) ) ) ) ) ).
fof(d34_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_subset_1(D, k5_polnot_1(A), k19_polnot_1(A, B, C)) => k28_polnot_1(A, B, C, D)=k15_polnot_1(A, D)) ) ) ) ) ) ) ) ).
fof(d35_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (! [C] :  (m2_subset_1(C, k5_polnot_1(A), k20_polnot_1(A, B)) => k29_polnot_1(A, B, C)=k14_polnot_1(A, B, k27_polnot_1(A, B, C))) ) ) ) ) ) ).
fof(d36_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_subset_1(D, k5_polnot_1(A), k19_polnot_1(A, B, C)) => k30_polnot_1(A, B, C, D)=k14_polnot_1(A, B, k28_polnot_1(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t67_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (! [C] :  (m2_subset_1(C, k5_polnot_1(A), k20_polnot_1(A, B)) => r2_tarski(k16_polnot_1(A, C), k4_polnot_1(k20_polnot_1(A, B), k29_polnot_1(A, B, C)))) ) ) ) ) ) ).
fof(t68_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_subset_1(D, k5_polnot_1(A), k19_polnot_1(A, B, k2_xcmplx_0(C, 1))) => r2_tarski(k16_polnot_1(A, D), k4_polnot_1(k19_polnot_1(A, B, C), k30_polnot_1(A, B, k2_xcmplx_0(C, 1), D)))) ) ) ) ) ) ) ) ).
fof(d37_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (! [C] :  (m2_subset_1(C, k5_polnot_1(A), k20_polnot_1(A, B)) => k31_polnot_1(A, B, C)=k16_polnot_1(A, C)) ) ) ) ) ) ).
fof(t69_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (! [C] :  (m2_subset_1(C, k5_polnot_1(A), k20_polnot_1(A, B)) =>  (r2_tarski(k15_polnot_1(A, C), k7_polnot_1(A, B)) => C=k15_polnot_1(A, C)) ) ) ) ) ) ) ).
fof(d38_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_subset_1(D, k5_polnot_1(A), k19_polnot_1(A, B, k2_xcmplx_0(C, 1))) => k32_polnot_1(A, B, C, D)=k16_polnot_1(A, D)) ) ) ) ) ) ) ) ).
fof(d39_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (! [C] :  (m2_subset_1(C, k5_polnot_1(A), k20_polnot_1(A, B)) => k33_polnot_1(A, B, C)=k26_polnot_1(k20_polnot_1(A, B), k29_polnot_1(A, B, C), k31_polnot_1(A, B, C))) ) ) ) ) ) ).
fof(d40_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_subset_1(D, k5_polnot_1(A), k19_polnot_1(A, B, k2_xcmplx_0(C, 1))) => k34_polnot_1(A, B, C, D)=k26_polnot_1(k19_polnot_1(A, B, C), k30_polnot_1(A, B, k2_xcmplx_0(C, 1), D), k32_polnot_1(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t70_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (r2_tarski(D, k4_polnot_1(k20_polnot_1(A, B), k14_polnot_1(A, B, C))) => k16_polnot_1(A, k1_funct_1(k21_polnot_1(A, B, C), D))=D) ) ) ) ) ) ) ) ) ).
fof(t71_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (! [C] :  (m2_subset_1(C, k5_polnot_1(A), k20_polnot_1(A, B)) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(C, k19_polnot_1(A, B, k2_xcmplx_0(D, 1))) => r1_tarski(k10_xtuple_0(k33_polnot_1(A, B, C)), k19_polnot_1(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t72_polnot_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, B, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  ( (r1_tarski(k10_xtuple_0(D), A) &  (r1_tarski(k10_xtuple_0(D), B) &  (! [G] :  (r2_hidden(G, k10_xtuple_0(D)) => k1_funct_1(E, G)=k1_funct_1(F, G)) ) ) )  => k3_relat_1(D, E)=k3_relat_1(D, F)) ) ) ) ) ) ) ) ) ) ) ).
fof(d42_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k35_polnot_1(A, B, C), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k35_polnot_1(A, B, C), C)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k20_polnot_1(A, B), C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k20_polnot_1(A, B), C)))) )  =>  (v8_polnot_1(E, A, B, C, D) <=>  (! [F] :  (m2_subset_1(F, k5_polnot_1(A), k20_polnot_1(A, B)) => k3_funct_2(k20_polnot_1(A, B), C, E, F)=k1_funct_1(D, k4_tarski(k15_polnot_1(A, F), k1_partfun1(k4_ordinal1, k20_polnot_1(A, B), k20_polnot_1(A, B), C, k33_polnot_1(A, B, F), E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t73_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k35_polnot_1(A, B, C), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k35_polnot_1(A, B, C), C)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k20_polnot_1(A, B), C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k20_polnot_1(A, B), C)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k20_polnot_1(A, B), C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k20_polnot_1(A, B), C)))) )  =>  ( (v8_polnot_1(E, A, B, C, D) & v8_polnot_1(F, A, B, C, D))  => r2_funct_2(k20_polnot_1(A, B), C, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d43_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) ) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k35_polnot_1(A, B, C), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k35_polnot_1(A, B, C), C)))) )  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k20_polnot_1(A, B))) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, E, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(E, C)))) )  =>  (v9_polnot_1(F, A, B, C, D, E) <=>  (! [G] :  (m2_subset_1(G, k5_polnot_1(A), k20_polnot_1(A, B)) =>  ( (r2_tarski(G, E) & r1_tarski(k10_xtuple_0(k33_polnot_1(A, B, G)), E))  => k1_funct_1(F, G)=k1_funct_1(D, k4_tarski(k15_polnot_1(A, G), k1_partfun1(k4_ordinal1, k20_polnot_1(A, B), E, C, k33_polnot_1(A, B, G), F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t74_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) ) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k35_polnot_1(A, B, C), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k35_polnot_1(A, B, C), C)))) )  =>  (! [E] :  (v7_ordinal1(E) =>  (? [F] :  (m1_subset_1(F, k1_zfmisc_1(k20_polnot_1(A, B))) &  (? [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, F, C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(F, C)))) )  &  (F=k19_polnot_1(A, B, E) & v9_polnot_1(G, A, B, C, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) ) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k35_polnot_1(A, B, C), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k35_polnot_1(A, B, C), C)))) )  =>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k20_polnot_1(A, B), C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k20_polnot_1(A, B), C)))) )  & v8_polnot_1(E, A, B, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t76_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) ) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) => v2_funct_1(k21_polnot_1(A, B, C))) ) ) ) ) ) ).
fof(t77_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) ) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  ( ~ (r1_xboole_0(k10_xtuple_0(k21_polnot_1(A, B, C)), k10_xtuple_0(k21_polnot_1(A, B, D))))  => C=D) ) ) ) ) ) ) ) ) ).
fof(t78_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) ) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ~ ( (r2_hidden(D, k9_xtuple_0(k21_polnot_1(A, B, C))) &  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  ~ ( (E=k1_funct_1(k21_polnot_1(A, B, C), D) & k15_polnot_1(A, E)=C) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t79_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) ) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m2_subset_1(D, k5_polnot_1(A), k20_polnot_1(A, B)) =>  (k27_polnot_1(A, B, D)=C <=>  (? [E] :  (m1_subset_1(E, k4_polnot_1(k20_polnot_1(A, B), k14_polnot_1(A, B, C))) & D=k3_funct_2(k4_polnot_1(k20_polnot_1(A, B), k14_polnot_1(A, B, C)), k20_polnot_1(A, B), k21_polnot_1(A, B, C), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t80_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) ) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (k14_polnot_1(A, B, C)=1 =>  (! [D] :  (m2_subset_1(D, k5_polnot_1(A), k20_polnot_1(A, B)) =>  ~ ( (k27_polnot_1(A, B, D)=C &  (! [E] :  (m2_subset_1(E, k5_polnot_1(A), k20_polnot_1(A, B)) =>  ~ (D=k3_funct_2(k20_polnot_1(A, B), k20_polnot_1(A, B), k22_polnot_1(A, B, C), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t81_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) ) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (k14_polnot_1(A, B, C)=1 =>  (! [D] :  (m2_subset_1(D, k5_polnot_1(A), k20_polnot_1(A, B)) =>  (k27_polnot_1(A, B, k3_funct_2(k20_polnot_1(A, B), k20_polnot_1(A, B), k22_polnot_1(A, B, C), D))=C & k33_polnot_1(A, B, k3_funct_2(k20_polnot_1(A, B), k20_polnot_1(A, B), k22_polnot_1(A, B, C), D))=k12_finseq_1(k20_polnot_1(A, B), D)) ) ) ) ) ) ) ) ) ) ).
fof(t82_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) ) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (k14_polnot_1(A, B, C)=2 =>  (! [D] :  (m2_subset_1(D, k5_polnot_1(A), k20_polnot_1(A, B)) =>  ~ ( (k27_polnot_1(A, B, D)=C &  (! [E] :  (m2_subset_1(E, k5_polnot_1(A), k20_polnot_1(A, B)) =>  (! [F] :  (m2_subset_1(F, k5_polnot_1(A), k20_polnot_1(A, B)) =>  ~ (D=k4_binop_1(k20_polnot_1(A, B), k23_polnot_1(A, B, C), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t83_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) ) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (k14_polnot_1(A, B, C)=2 =>  (! [D] :  (m2_subset_1(D, k5_polnot_1(A), k20_polnot_1(A, B)) =>  (! [E] :  (m2_subset_1(E, k5_polnot_1(A), k20_polnot_1(A, B)) =>  (k27_polnot_1(A, B, k4_binop_1(k20_polnot_1(A, B), k23_polnot_1(A, B, C), D, E))=C & k33_polnot_1(A, B, k4_binop_1(k20_polnot_1(A, B), k23_polnot_1(A, B, C), D, E))=k10_finseq_1(D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t84_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) ) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (! [C] :  (m2_subset_1(C, k5_polnot_1(A), k20_polnot_1(A, B)) =>  (r2_tarski(C, k7_polnot_1(A, B)) <=> k29_polnot_1(A, B, C)=k5_ordinal1) ) ) ) ) ) ) ).
fof(t85_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) ) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k35_polnot_1(A, B, C), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k35_polnot_1(A, B, C), C)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k20_polnot_1(A, B), C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k20_polnot_1(A, B), C)))) )  =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m2_subset_1(G, k5_polnot_1(A), k20_polnot_1(A, B)) =>  ( (v8_polnot_1(E, A, B, C, D) & k14_polnot_1(A, B, F)=1)  => k3_funct_2(k20_polnot_1(A, B), C, E, k3_funct_2(k20_polnot_1(A, B), k20_polnot_1(A, B), k22_polnot_1(A, B, F), G))=k1_binop_1(D, F, k12_finseq_1(C, k3_funct_2(k20_polnot_1(A, B), C, E, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d44_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, k4_polnot_1(A, k3_finseq_1(B))) =>  (C=k36_polnot_1(A, B) <=> k26_polnot_1(A, k3_finseq_1(B), C)=B) ) ) ) ) ) ) ).
fof(d45_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) ) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k7_polnot_1(A, B), k20_polnot_1(A, B)))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k35_polnot_1(A, B, k20_polnot_1(A, B)), k20_polnot_1(A, B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k35_polnot_1(A, B, k20_polnot_1(A, B)), k20_polnot_1(A, B))))) )  =>  (D=k37_polnot_1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m2_finseq_1(F, k20_polnot_1(A, B)) =>  (k3_finseq_1(F)=k14_polnot_1(A, B, E) =>  ( (r2_tarski(E, k9_xtuple_0(C)) => k1_binop_1(D, E, F)=k1_funct_1(C, E))  &  ( ~ (r2_tarski(E, k9_xtuple_0(C)))  => k1_binop_1(D, E, F)=k7_finseq_1(E, k36_polnot_1(k20_polnot_1(A, B), F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d46_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) ) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k7_polnot_1(A, B), k20_polnot_1(A, B)))))  =>  (! [D] :  (m2_subset_1(D, k5_polnot_1(A), k20_polnot_1(A, B)) =>  (! [E] :  (m2_subset_1(E, k5_polnot_1(A), k20_polnot_1(A, B)) =>  (E=k38_polnot_1(A, B, C, D) <=>  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k20_polnot_1(A, B), k20_polnot_1(A, B)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k20_polnot_1(A, B), k20_polnot_1(A, B))))) )  &  (v8_polnot_1(F, A, B, k20_polnot_1(A, B), k37_polnot_1(A, B, C)) & E=k3_funct_2(k20_polnot_1(A, B), k20_polnot_1(A, B), F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t86_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) ) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k7_polnot_1(A, B), k20_polnot_1(A, B)))))  =>  (! [D] :  (m2_subset_1(D, k5_polnot_1(A), k20_polnot_1(A, B)) =>  (C=k1_xboole_0 => k38_polnot_1(A, B, C, D)=D) ) ) ) ) ) ) ) ) ).
fof(s1_polnot_1, axiom,  ( (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( (r2_tarski(A, f1_s1_polnot_1) &  (C=k1_funct_1(f2_s1_polnot_1, A) & r2_tarski(B, k4_polnot_1(k11_polnot_1(f1_s1_polnot_1, f2_s1_polnot_1), C))) )  => p1_s1_polnot_1(k7_finseq_1(A, B))) ) ) ) ) ) )  =>  (! [A] :  (r2_hidden(A, k11_polnot_1(f1_s1_polnot_1, f2_s1_polnot_1)) => p1_s1_polnot_1(A)) ) ) ).
fof(dt_k1_polnot_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(k13_finseq_1(A))) & m1_subset_1(C, k1_zfmisc_1(k13_finseq_1(A)))) )  => m1_subset_1(k1_polnot_1(A, B, C), k1_zfmisc_1(k13_finseq_1(A)))) ) ).
fof(dt_k2_polnot_1, axiom,  (! [A, B] :  ( (v3_finseq_1(A) & v3_finseq_1(B))  => v3_finseq_1(k2_polnot_1(A, B))) ) ).
fof(dt_k3_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (v1_relat_1(k3_polnot_1(A)) & v1_funct_1(k3_polnot_1(A))) ) ) ).
fof(dt_k4_polnot_1, axiom,  (! [A, B] :  ( (v3_finseq_1(A) & v7_ordinal1(B))  => v3_finseq_1(k4_polnot_1(A, B))) ) ).
fof(dt_k5_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  ( ~ (v1_xboole_0(k5_polnot_1(A)))  & v3_finseq_1(k5_polnot_1(A))) ) ) ).
fof(dt_k6_polnot_1, axiom,  (! [A, B, C] :  ( (v3_finseq_1(A) &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  & m1_subset_1(C, k1_zfmisc_1(k5_polnot_1(A)))) )  => m1_subset_1(k6_polnot_1(A, B, C), k1_zfmisc_1(k5_polnot_1(A)))) ) ).
fof(dt_k7_polnot_1, axiom,  (! [A, B] :  ( (v3_finseq_1(A) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) ) )  => m1_subset_1(k7_polnot_1(A, B), k1_zfmisc_1(k5_polnot_1(A)))) ) ).
fof(dt_k8_polnot_1, axiom,  (! [A, B] :  ( (v3_finseq_1(A) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) ) )  => m1_subset_1(k8_polnot_1(A, B), k1_zfmisc_1(A))) ) ).
fof(dt_k9_polnot_1, axiom,  (! [A, B] :  ( (v3_finseq_1(A) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) ) )  =>  (v1_relat_1(k9_polnot_1(A, B)) & v1_funct_1(k9_polnot_1(A, B))) ) ) ).
fof(dt_k10_polnot_1, axiom,  (! [A, B, C] :  ( (v3_finseq_1(A) &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  & v7_ordinal1(C)) )  => m1_subset_1(k10_polnot_1(A, B, C), k1_zfmisc_1(k5_polnot_1(A)))) ) ).
fof(dt_k11_polnot_1, axiom,  (! [A, B] :  ( (v3_finseq_1(A) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) ) )  => m1_subset_1(k11_polnot_1(A, B), k1_zfmisc_1(k5_polnot_1(A)))) ) ).
fof(dt_k12_polnot_1, axiom,  (! [A, B, C, D] :  ( (v3_finseq_1(A) &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  &  (v7_ordinal1(C) &  (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) ) ) ) )  =>  (v1_funct_1(k12_polnot_1(A, B, C, D)) &  (v1_funct_2(k12_polnot_1(A, B, C, D), k4_polnot_1(k11_polnot_1(A, B), C), k5_polnot_1(A)) & m1_subset_1(k12_polnot_1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_polnot_1(k11_polnot_1(A, B), C), k5_polnot_1(A))))) ) ) ) ).
fof(redefinition_v1_polnot_1, axiom,  (! [A, B, C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_zfmisc_1(B)))))  =>  (v1_polnot_1(C, A, B) <=> v1_prob_2(C)) ) ) ).
fof(dt_k13_polnot_1, axiom,  (! [A, B] :  ( (v1_prob_2(B) & m1_finseq_1(B, k1_zfmisc_1(A)))  =>  (v1_funct_1(k13_polnot_1(A, B)) &  (v1_funct_2(k13_polnot_1(A, B), A, k4_ordinal1) & m1_subset_1(k13_polnot_1(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) ) ) ) ).
fof(dt_f1_s1_polnot_1, axiom, v3_finseq_1(f1_s1_polnot_1)).
fof(dt_f2_s1_polnot_1, axiom,  (v1_funct_1(f2_s1_polnot_1) &  (v1_funct_2(f2_s1_polnot_1, f1_s1_polnot_1, k4_ordinal1) & m1_subset_1(f2_s1_polnot_1, k1_zfmisc_1(k2_zfmisc_1(f1_s1_polnot_1, k4_ordinal1)))) ) ).
fof(redefinition_v4_polnot_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k1_zfmisc_1(k13_finseq_1(A))))  =>  (v4_polnot_1(B, A) <=> v3_polnot_1(B)) ) ) ).
fof(dt_m1_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) ) ) ) ) ) ).
fof(existence_m1_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (? [B] : m1_polnot_1(B, A)) ) ) ).
fof(dt_k14_polnot_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  &  (m1_polnot_1(B, A) & m1_subset_1(C, A)) )  => v7_ordinal1(k14_polnot_1(A, B, C))) ) ).
fof(redefinition_k14_polnot_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  &  (m1_polnot_1(B, A) & m1_subset_1(C, A)) )  => k14_polnot_1(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k15_polnot_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  =>  (v1_relat_1(k15_polnot_1(A, B)) &  (v1_funct_1(k15_polnot_1(A, B)) & v1_finseq_1(k15_polnot_1(A, B))) ) ) ) ).
fof(dt_k16_polnot_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  =>  (v1_relat_1(k16_polnot_1(A, B)) &  (v1_funct_1(k16_polnot_1(A, B)) & v1_finseq_1(k16_polnot_1(A, B))) ) ) ) ).
fof(dt_k17_polnot_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  &  (m1_polnot_1(B, A) &  ( ~ (v1_xboole_0(C))  &  (v3_polnot_1(C) & m1_subset_1(C, k1_zfmisc_1(k5_polnot_1(A)))) ) ) )  =>  ( ~ (v1_xboole_0(k17_polnot_1(A, B, C)))  &  (v3_polnot_1(k17_polnot_1(A, B, C)) & m1_subset_1(k17_polnot_1(A, B, C), k1_zfmisc_1(k5_polnot_1(A)))) ) ) ) ).
fof(redefinition_k17_polnot_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  &  (m1_polnot_1(B, A) &  ( ~ (v1_xboole_0(C))  &  (v3_polnot_1(C) & m1_subset_1(C, k1_zfmisc_1(k5_polnot_1(A)))) ) ) )  => k17_polnot_1(A, B, C)=k6_polnot_1(A, B, C)) ) ).
fof(dt_k18_polnot_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  & m1_polnot_1(B, A))  => m1_subset_1(k18_polnot_1(A, B), k1_zfmisc_1(A))) ) ).
fof(dt_k19_polnot_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  &  (m1_polnot_1(B, A) & v7_ordinal1(C)) )  =>  ( ~ (v1_xboole_0(k19_polnot_1(A, B, C)))  &  (v3_polnot_1(k19_polnot_1(A, B, C)) & m1_subset_1(k19_polnot_1(A, B, C), k1_zfmisc_1(k5_polnot_1(A)))) ) ) ) ).
fof(redefinition_k19_polnot_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  &  (m1_polnot_1(B, A) & v7_ordinal1(C)) )  => k19_polnot_1(A, B, C)=k10_polnot_1(A, B, C)) ) ).
fof(dt_k20_polnot_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  & m1_polnot_1(B, A))  =>  ( ~ (v1_xboole_0(k20_polnot_1(A, B)))  &  (v3_polnot_1(k20_polnot_1(A, B)) & m1_subset_1(k20_polnot_1(A, B), k1_zfmisc_1(k5_polnot_1(A)))) ) ) ) ).
fof(dt_k21_polnot_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  &  (m1_polnot_1(B, A) & m1_subset_1(C, A)) )  =>  (v1_funct_1(k21_polnot_1(A, B, C)) &  (v1_funct_2(k21_polnot_1(A, B, C), k4_polnot_1(k20_polnot_1(A, B), k14_polnot_1(A, B, C)), k20_polnot_1(A, B)) & m1_subset_1(k21_polnot_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_polnot_1(k20_polnot_1(A, B), k14_polnot_1(A, B, C)), k20_polnot_1(A, B))))) ) ) ) ).
fof(dt_k22_polnot_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  &  (m1_polnot_1(B, A) & m1_subset_1(C, A)) )  =>  (v1_funct_1(k22_polnot_1(A, B, C)) &  (v1_funct_2(k22_polnot_1(A, B, C), k20_polnot_1(A, B), k20_polnot_1(A, B)) & m1_subset_1(k22_polnot_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k20_polnot_1(A, B), k20_polnot_1(A, B))))) ) ) ) ).
fof(dt_k23_polnot_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  &  (m1_polnot_1(B, A) & m1_subset_1(C, A)) )  =>  (v1_funct_1(k23_polnot_1(A, B, C)) &  (v1_funct_2(k23_polnot_1(A, B, C), k2_zfmisc_1(k20_polnot_1(A, B), k20_polnot_1(A, B)), k20_polnot_1(A, B)) & m1_subset_1(k23_polnot_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k20_polnot_1(A, B), k20_polnot_1(A, B)), k20_polnot_1(A, B))))) ) ) ) ).
fof(dt_k24_polnot_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  &  (v1_prob_2(B) &  ( ~ (v7_polnot_1(B, k4_ordinal1, A))  & m1_finseq_1(B, k1_zfmisc_1(A))) ) )  => m1_polnot_1(k24_polnot_1(A, B), A)) ) ).
fof(dt_k25_polnot_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  &  (v7_ordinal1(B) &  (v7_ordinal1(C) & m1_subset_1(D, k4_polnot_1(A, k2_xcmplx_0(k2_xcmplx_0(B, 1), C)))) ) )  => m1_subset_1(k25_polnot_1(A, B, C, D), A)) ) ).
fof(dt_k26_polnot_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  &  (v7_ordinal1(B) & m1_subset_1(C, k4_polnot_1(A, B))) )  => m2_finseq_1(k26_polnot_1(A, B, C), A)) ) ).
fof(dt_k27_polnot_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  &  (m1_polnot_1(B, A) & m1_subset_1(C, k20_polnot_1(A, B))) )  => m1_subset_1(k27_polnot_1(A, B, C), A)) ) ).
fof(dt_k28_polnot_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  &  (m1_polnot_1(B, A) &  (v7_ordinal1(C) & m1_subset_1(D, k19_polnot_1(A, B, C))) ) )  => m1_subset_1(k28_polnot_1(A, B, C, D), A)) ) ).
fof(dt_k29_polnot_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  &  (m1_polnot_1(B, A) & m1_subset_1(C, k20_polnot_1(A, B))) )  => v7_ordinal1(k29_polnot_1(A, B, C))) ) ).
fof(dt_k30_polnot_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  &  (m1_polnot_1(B, A) &  (v7_ordinal1(C) & m1_subset_1(D, k19_polnot_1(A, B, C))) ) )  => v7_ordinal1(k30_polnot_1(A, B, C, D))) ) ).
fof(dt_k31_polnot_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  &  (m1_polnot_1(B, A) & m1_subset_1(C, k20_polnot_1(A, B))) )  => m1_subset_1(k31_polnot_1(A, B, C), k4_polnot_1(k20_polnot_1(A, B), k29_polnot_1(A, B, C)))) ) ).
fof(dt_k32_polnot_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  &  (m1_polnot_1(B, A) &  (v7_ordinal1(C) & m1_subset_1(D, k19_polnot_1(A, B, k2_xcmplx_0(C, 1)))) ) )  => m1_subset_1(k32_polnot_1(A, B, C, D), k4_polnot_1(k19_polnot_1(A, B, C), k30_polnot_1(A, B, k2_xcmplx_0(C, 1), D)))) ) ).
fof(dt_k33_polnot_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  &  (m1_polnot_1(B, A) & m1_subset_1(C, k20_polnot_1(A, B))) )  => m2_finseq_1(k33_polnot_1(A, B, C), k20_polnot_1(A, B))) ) ).
fof(dt_k34_polnot_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  &  (m1_polnot_1(B, A) &  (v7_ordinal1(C) & m1_subset_1(D, k19_polnot_1(A, B, k2_xcmplx_0(C, 1)))) ) )  => m2_finseq_1(k34_polnot_1(A, B, C, D), k19_polnot_1(A, B, C))) ) ).
fof(dt_k35_polnot_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  &  (m1_polnot_1(B, A) &  ~ (v1_xboole_0(C)) ) )  => m1_subset_1(k35_polnot_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k13_finseq_1(C))))) ) ).
fof(dt_k36_polnot_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  & m1_finseq_1(B, A))  => m1_subset_1(k36_polnot_1(A, B), k4_polnot_1(A, k3_finseq_1(B)))) ) ).
fof(dt_k37_polnot_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) ) )  &  (m1_polnot_1(B, A) &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k7_polnot_1(A, B), k20_polnot_1(A, B))))) ) )  =>  (v1_funct_1(k37_polnot_1(A, B, C)) &  (v1_funct_2(k37_polnot_1(A, B, C), k35_polnot_1(A, B, k20_polnot_1(A, B)), k20_polnot_1(A, B)) & m1_subset_1(k37_polnot_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k35_polnot_1(A, B, k20_polnot_1(A, B)), k20_polnot_1(A, B))))) ) ) ) ).
fof(dt_k38_polnot_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) ) )  &  (m1_polnot_1(B, A) &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k7_polnot_1(A, B), k20_polnot_1(A, B)))))  & m1_subset_1(D, k20_polnot_1(A, B))) ) )  => m2_subset_1(k38_polnot_1(A, B, C, D), k5_polnot_1(A), k20_polnot_1(A, B))) ) ).
fof(d1_polnot_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k13_finseq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k13_finseq_1(A))) => k1_polnot_1(A, B, C)=a_3_0_polnot_1(A, B, C)) ) ) ) ) ) ).
fof(d5_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) => k5_polnot_1(A)=k3_tarski(a_1_0_polnot_1(A))) ) ).
fof(d8_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  => k8_polnot_1(A, B)=a_2_0_polnot_1(A, B)) ) ) ) ).
fof(d11_polnot_1, axiom,  (! [A] :  (v3_finseq_1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  => k11_polnot_1(A, B)=k3_tarski(a_2_1_polnot_1(A, B))) ) ) ) ).
fof(d24_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (m1_polnot_1(B, A) => k18_polnot_1(A, B)=a_2_2_polnot_1(A, B)) ) ) ) ).
fof(d41_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (! [C] :  ( ~ (v1_xboole_0(C))  => k35_polnot_1(A, B, C)=a_3_1_polnot_1(A, B, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_polnot_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k1_zfmisc_1(k13_finseq_1(B))) & m1_subset_1(D, k1_zfmisc_1(k13_finseq_1(B)))) )  =>  (r2_hidden(A, a_3_0_polnot_1(B, C, D)) <=>  (? [E, F] :  ( (m2_finseq_1(E, B) & m2_finseq_1(F, B))  &  (A=k8_finseq_1(B, E, F) &  (r2_tarski(E, C) & r2_tarski(F, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_polnot_1, axiom,  (! [A, B] :  (v3_finseq_1(B) =>  (r2_hidden(A, a_1_0_polnot_1(B)) <=>  (? [C] :  (v7_ordinal1(C) & A=k4_polnot_1(B, C)) ) ) ) ) ).
fof(fraenkel_a_2_0_polnot_1, axiom,  (! [A, B, C] :  ( (v3_finseq_1(B) &  (v1_funct_1(C) &  (v1_funct_2(C, B, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k4_ordinal1)))) ) )  =>  (r2_hidden(A, a_2_0_polnot_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, k5_polnot_1(B)) &  (A=D &  (r2_tarski(D, B) &  ~ (k1_funct_1(C, D)=k5_ordinal1) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_polnot_1, axiom,  (! [A, B, C] :  ( (v3_finseq_1(B) &  (v1_funct_1(C) &  (v1_funct_2(C, B, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k4_ordinal1)))) ) )  =>  (r2_hidden(A, a_2_1_polnot_1(B, C)) <=>  (? [D] :  (v7_ordinal1(D) & A=k10_polnot_1(B, C, D)) ) ) ) ) ).
fof(fraenkel_a_2_2_polnot_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  (v3_finseq_1(B) & v3_polnot_1(B)) )  & m1_polnot_1(C, B))  =>  (r2_hidden(A, a_2_2_polnot_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, B) &  (A=D &  ~ (k14_polnot_1(B, C, D)=k5_ordinal1) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_polnot_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v3_finseq_1(B) & v3_polnot_1(B)) )  &  (m1_polnot_1(C, B) &  ~ (v1_xboole_0(D)) ) )  =>  (r2_hidden(A, a_3_1_polnot_1(B, C, D)) <=>  (? [E, F] :  ( (m1_subset_1(E, B) & m2_finseq_1(F, D))  &  (A=k4_tarski(E, F) & k3_finseq_1(F)=k14_polnot_1(B, C, E)) ) ) ) ) ) ).
fof(rc1_polyalg1, axiom,  (! [A] :  (l1_struct_0(A) =>  (? [B] :  (l1_polyalg1(B, A) & v1_polyalg1(B, A)) ) ) ) ).
fof(rc2_polyalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (? [B] :  (l1_polyalg1(B, A) &  ( ~ (v2_struct_0(B))  & v1_polyalg1(B, A)) ) ) ) ) ).
fof(rc3_polyalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (? [B] :  (l1_polyalg1(B, A) &  ( ~ (v2_struct_0(B))  &  (v5_vectsp_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_group_1(B) & v2_polyalg1(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_polyalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) & l6_algstr_0(A)) )  =>  ( ~ (v2_struct_0(k1_polyalg1(A)))  &  (v2_rlvect_1(k1_polyalg1(A)) & v1_polyalg1(k1_polyalg1(A), A)) ) ) ) ).
fof(fc2_polyalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) & l6_algstr_0(A)) )  =>  ( ~ (v2_struct_0(k1_polyalg1(A)))  &  (v3_rlvect_1(k1_polyalg1(A)) & v1_polyalg1(k1_polyalg1(A), A)) ) ) ) ).
fof(fc3_polyalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_rlvect_1(A) & l6_algstr_0(A)) )  =>  ( ~ (v2_struct_0(k1_polyalg1(A)))  &  (v4_rlvect_1(k1_polyalg1(A)) & v1_polyalg1(k1_polyalg1(A), A)) ) ) ) ).
fof(fc4_polyalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) )  =>  ( ~ (v2_struct_0(k1_polyalg1(A)))  &  (v13_algstr_0(k1_polyalg1(A)) & v1_polyalg1(k1_polyalg1(A), A)) ) ) ) ).
fof(fc5_polyalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) )  =>  ( ~ (v2_struct_0(k1_polyalg1(A)))  &  (v5_group_1(k1_polyalg1(A)) & v1_polyalg1(k1_polyalg1(A), A)) ) ) ) ).
fof(fc6_polyalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k1_polyalg1(A)))  &  (v3_group_1(k1_polyalg1(A)) & v1_polyalg1(k1_polyalg1(A), A)) ) ) ) ).
fof(rc4_polyalg1, axiom,  (? [A] :  (l6_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v1_algstr_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & v3_group_1(A)) ) ) ) ) ) ) ) ) ).
fof(fc7_polyalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  ( ~ (v2_struct_0(k1_polyalg1(A)))  &  (v4_vectsp_1(k1_polyalg1(A)) & v1_polyalg1(k1_polyalg1(A), A)) ) ) ) ).
fof(fc8_polyalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  ( ~ (v2_struct_0(k1_polyalg1(A)))  &  (v1_vectsp_1(k1_polyalg1(A)) & v1_polyalg1(k1_polyalg1(A), A)) ) ) ) ).
fof(fc9_polyalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  ( ~ (v2_struct_0(k1_polyalg1(A)))  &  (v2_vectsp_1(k1_polyalg1(A)) & v1_polyalg1(k1_polyalg1(A), A)) ) ) ) ).
fof(fc10_polyalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k1_polyalg1(A)))  &  (v8_vectsp_1(k1_polyalg1(A), A) &  (v9_vectsp_1(k1_polyalg1(A), A) &  (v10_vectsp_1(k1_polyalg1(A), A) &  (v11_vectsp_1(k1_polyalg1(A), A) & v1_polyalg1(k1_polyalg1(A), A)) ) ) ) ) ) ) ).
fof(fc11_polyalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v1_algstr_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k1_polyalg1(A)))  &  (v1_polyalg1(k1_polyalg1(A), A) & v2_polyalg1(k1_polyalg1(A), A)) ) ) ) ).
fof(rc5_polyalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (? [B] :  (l1_polyalg1(B, A) &  ( ~ (v2_struct_0(B))  & v1_polyalg1(B, A)) ) ) ) ) ).
fof(rc6_polyalg1, axiom,  (! [A, B] :  ( (l1_struct_0(A) & l1_polyalg1(B, A))  =>  (? [C] :  (m1_polyalg1(C, A, B) & v1_polyalg1(C, A)) ) ) ) ).
fof(rc7_polyalg1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  ( ~ (v2_struct_0(B))  & l1_polyalg1(B, A)) )  =>  (? [C] :  (m1_polyalg1(C, A, B) &  ( ~ (v2_struct_0(C))  & v1_polyalg1(C, A)) ) ) ) ) ).
fof(fc12_polyalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) )  =>  ( ~ (v2_struct_0(k13_polynom3(A)))  &  (v36_algstr_0(k13_polynom3(A)) & v4_algstr_1(k13_polynom3(A))) ) ) ) ).
fof(d1_polyalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_polyalg1(B, A))  =>  (v2_polyalg1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => k3_vectsp_1(A, B, C, k6_algstr_0(B, D, E))=k6_algstr_0(B, k3_vectsp_1(A, B, C, D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_polyalg1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), A)))) )  => k9_xtuple_0(C)=k2_zfmisc_1(A, B)) ) ) ) ).
fof(t2_polyalg1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), B)))) )  => k9_xtuple_0(C)=k2_zfmisc_1(A, B)) ) ) ) ).
fof(d2_polyalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_polyalg1(B, A) & l1_polyalg1(B, A)) )  =>  (B=k1_polyalg1(A) <=>  ( (! [C] :  (r2_tarski(C, u1_struct_0(B)) <=>  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (C=E & D=F)  => k1_algstr_0(B, C, D)=k1_normsp_1(A, E, F)) ) ) ) ) ) ) ) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (C=E & D=F)  => k6_algstr_0(B, C, D)=k11_polynom3(A, E, F)) ) ) ) ) ) ) ) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (D=E => k3_vectsp_1(A, B, C, D)=k4_polynom5(A, E, C)) ) ) ) ) ) )  &  (k4_struct_0(B)=k9_polynom3(A) & k5_struct_0(B)=k10_polynom3(A)) ) ) ) ) ) ) ) ) ) ).
fof(t6_polyalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k4_polynom5(A, k8_polynom3(A, C, D), B), k8_polynom3(A, k4_polynom5(A, C, B), k4_polynom5(A, D, B)))) ) ) ) ) ) ) ) ).
fof(t7_polyalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k4_polynom5(A, D, k3_rlvect_1(A, B, C)), k8_polynom3(A, k4_polynom5(A, D, B), k4_polynom5(A, D, C)))) ) ) ) ) ) ) ) ).
fof(t8_polyalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_group_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k4_polynom5(A, D, k6_algstr_0(A, B, C)), k4_polynom5(A, k4_polynom5(A, D, C), B))) ) ) ) ) ) ) ) ).
fof(t9_polyalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k4_polynom5(A, B, k5_struct_0(A)), B)) ) ) ) ).
fof(t10_polyalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v1_algstr_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k4_polynom5(A, k11_polynom3(A, C, D), B), k11_polynom3(A, k4_polynom5(A, C, B), D))) ) ) ) ) ) ) ) ).
fof(d3_polyalg1, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_polyalg1(B, A) =>  (! [C] :  (l1_polyalg1(C, A) =>  (m1_polyalg1(C, A, B) <=>  (r1_tarski(u1_struct_0(C), u1_struct_0(B)) &  (k5_struct_0(C)=k5_struct_0(B) &  (k4_struct_0(C)=k4_struct_0(B) &  (u1_algstr_0(C)=k1_realset1(u1_algstr_0(B), u1_struct_0(C)) &  (u2_algstr_0(C)=k1_realset1(u2_algstr_0(B), u1_struct_0(C)) & u1_vectsp_1(A, C)=k2_partfun1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(B), u1_vectsp_1(A, B), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_polyalg1, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_polyalg1(B, A) => m1_polyalg1(B, A, B)) ) ) ) ).
fof(t12_polyalg1, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_polyalg1(B, A) =>  (! [C] :  (l1_polyalg1(C, A) =>  (! [D] :  (l1_polyalg1(D, A) =>  ( (m1_polyalg1(B, A, C) & m1_polyalg1(C, A, D))  => m1_polyalg1(B, A, D)) ) ) ) ) ) ) ) ) ).
fof(t13_polyalg1, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_polyalg1(B, A) =>  (! [C] :  (l1_polyalg1(C, A) =>  ( (m1_polyalg1(B, A, C) & m1_polyalg1(C, A, B))  => g1_polyalg1(A, u1_struct_0(B), u1_algstr_0(B), u2_algstr_0(B), u2_struct_0(B), u3_struct_0(B), u1_vectsp_1(A, B))=g1_polyalg1(A, u1_struct_0(C), u1_algstr_0(C), u2_algstr_0(C), u2_struct_0(C), u3_struct_0(C), u1_vectsp_1(A, C))) ) ) ) ) ) ) ).
fof(t14_polyalg1, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_polyalg1(B, A) =>  (! [C] :  (l1_polyalg1(C, A) =>  (g1_polyalg1(A, u1_struct_0(B), u1_algstr_0(B), u2_algstr_0(B), u2_struct_0(B), u3_struct_0(B), u1_vectsp_1(A, B))=g1_polyalg1(A, u1_struct_0(C), u1_algstr_0(C), u2_algstr_0(C), u2_struct_0(C), u3_struct_0(C), u1_vectsp_1(A, C)) => m1_polyalg1(B, A, C)) ) ) ) ) ) ) ).
fof(d4_polyalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_polyalg1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (v3_polyalg1(C, A, B) <=>  (v1_vectsp_4(C, A, B) &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  ( (r2_tarski(D, C) & r2_tarski(E, C))  => r2_tarski(k6_algstr_0(B, D, E), C)) ) ) ) )  &  (r2_tarski(k5_struct_0(B), C) & r2_tarski(k4_struct_0(B), C)) ) ) ) ) ) ) ) ) ) ).
fof(t15_polyalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_polyalg1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & m1_polyalg1(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(C)) =>  ( (D=F & E=G)  => k1_algstr_0(B, D, E)=k1_algstr_0(C, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_polyalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_polyalg1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & m1_polyalg1(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(C)) =>  ( (D=F & E=G)  => k6_algstr_0(B, D, E)=k6_algstr_0(C, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_polyalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_polyalg1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & m1_polyalg1(C, A, B))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  (E=F => k3_vectsp_1(A, B, D, E)=k3_vectsp_1(A, C, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_polyalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_polyalg1(B, A))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & m1_polyalg1(C, A, B))  =>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) &  (u1_struct_0(C)=D & v3_polyalg1(D, A, B)) ) ) ) ) ) ) ) ) ).
fof(t19_polyalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_polyalg1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  ~ ( (v3_polyalg1(C, A, B) &  (! [D] :  ( (v1_polyalg1(D, A) & m1_polyalg1(D, A, B))  =>  ~ (u1_struct_0(D)=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_polyalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_polyalg1(B, A))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) =>  ( (! [E] :  (r2_tarski(E, D) <=>  (r1_tarski(E, u1_struct_0(B)) &  (? [F] :  (m1_polyalg1(F, A, B) &  (E=u1_struct_0(F) & r1_tarski(C, E)) ) ) ) ) )  => v3_polyalg1(k6_setfam_1(u1_struct_0(B), D), A, B)) ) ) ) ) ) ) ) ) ).
fof(d5_polyalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_polyalg1(B, A))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v1_polyalg1(D, A) & m1_polyalg1(D, A, B)) )  =>  (D=k2_polyalg1(A, B, C) <=>  (r1_tarski(C, u1_struct_0(D)) &  (! [E] :  (m1_polyalg1(E, A, B) =>  (r1_tarski(C, u1_struct_0(E)) => r1_tarski(u1_struct_0(D), u1_struct_0(E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_polyalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_polyalg1(B, A))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (v3_polyalg1(C, A, B) => u1_struct_0(k2_polyalg1(A, B, C))=C) ) ) ) ) ) ) ).
fof(d6_polyalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_polyalg1(B, A) & l1_polyalg1(B, A)) )  =>  (B=k3_polyalg1(A) <=>  (? [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k1_polyalg1(A)))))  &  (C=u1_struct_0(k13_polynom3(A)) & B=k2_polyalg1(A, k1_polyalg1(A), C)) ) ) ) ) ) ) ) ).
fof(t22_polyalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_polyalg1(A)))))  =>  (B=u1_struct_0(k13_polynom3(A)) => v3_polyalg1(B, A, k1_polyalg1(A))) ) ) ) ) ).
fof(t23_polyalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) )  => g6_algstr_0(u1_struct_0(k3_polyalg1(A)), u1_algstr_0(k3_polyalg1(A)), u2_algstr_0(k3_polyalg1(A)), u3_struct_0(k3_polyalg1(A)), u2_struct_0(k3_polyalg1(A)))=k13_polynom3(A)) ) ).
fof(t24_polyalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) )  => k1_group_1(k1_polyalg1(A))=k10_polynom3(A)) ) ).
fof(abstractness_v1_polyalg1, axiom,  (! [A, B] :  ( (l1_struct_0(A) & l1_polyalg1(B, A))  =>  (v1_polyalg1(B, A) => B=g1_polyalg1(A, u1_struct_0(B), u1_algstr_0(B), u2_algstr_0(B), u2_struct_0(B), u3_struct_0(B), u1_vectsp_1(A, B))) ) ) ).
fof(dt_l1_polyalg1, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_polyalg1(B, A) =>  (l6_algstr_0(B) & l1_vectsp_1(B, A)) ) ) ) ) ).
fof(existence_l1_polyalg1, axiom,  (! [A] :  (l1_struct_0(A) =>  (? [B] : l1_polyalg1(B, A)) ) ) ).
fof(dt_g1_polyalg1, axiom,  (! [A, B, C, D, E, F, G] :  ( (l1_struct_0(A) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(B, B), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  &  (m1_subset_1(E, B) &  (m1_subset_1(F, B) &  (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(u1_struct_0(A), B), B) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), B), B)))) ) ) ) ) ) )  =>  (v1_polyalg1(g1_polyalg1(A, B, C, D, E, F, G), A) & l1_polyalg1(g1_polyalg1(A, B, C, D, E, F, G), A)) ) ) ).
fof(free_g1_polyalg1, axiom,  (! [A, B, C, D, E, F, G] :  ( (l1_struct_0(A) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(B, B), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  &  (m1_subset_1(E, B) &  (m1_subset_1(F, B) &  (v1_funct_1(G) &  (v1_funct_2(G, k2_zfmisc_1(u1_struct_0(A), B), B) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), B), B)))) ) ) ) ) ) )  =>  (! [H, I, J, K, L, M, N] :  (g1_polyalg1(A, B, C, D, E, F, G)=g1_polyalg1(H, I, J, K, L, M, N) =>  (A=H &  (B=I &  (C=J &  (D=K &  (E=L &  (F=M & G=N) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_polyalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  ( ~ (v2_struct_0(k1_polyalg1(A)))  &  (v1_polyalg1(k1_polyalg1(A), A) & l1_polyalg1(k1_polyalg1(A), A)) ) ) ) ).
fof(dt_m1_polyalg1, axiom,  (! [A, B] :  ( (l1_struct_0(A) & l1_polyalg1(B, A))  =>  (! [C] :  (m1_polyalg1(C, A, B) => l1_polyalg1(C, A)) ) ) ) ).
fof(existence_m1_polyalg1, axiom,  (! [A, B] :  ( (l1_struct_0(A) & l1_polyalg1(B, A))  =>  (? [C] : m1_polyalg1(C, A, B)) ) ) ).
fof(dt_k2_polyalg1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_polyalg1(B, A))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B)))) ) )  =>  ( ~ (v2_struct_0(k2_polyalg1(A, B, C)))  &  (v1_polyalg1(k2_polyalg1(A, B, C), A) & m1_polyalg1(k2_polyalg1(A, B, C), A, B)) ) ) ) ).
fof(dt_k3_polyalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) )  =>  ( ~ (v2_struct_0(k3_polyalg1(A)))  &  (v1_polyalg1(k3_polyalg1(A), A) & l1_polyalg1(k3_polyalg1(A), A)) ) ) ) ).
fof(rd1_polydiff, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  => k7_valued_1(A, k5_numbers)=A) ) ).
fof(rd2_polydiff, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  => k13_valued_1(A, k5_numbers)=A) ) ).
fof(cc1_polydiff, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))) =>  ( (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_numbers) & v4_fdiff_1(A)) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_numbers) & v1_fcont_1(A)) ) ) ) ) ).
fof(cc2_polydiff, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))) =>  ( (v1_funct_1(A) &  (v3_funct_1(A) & v1_funct_2(A, k1_numbers, k1_numbers)) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_numbers) & v4_fdiff_1(A)) ) ) ) ) ).
fof(fc1_polydiff, axiom,  (v1_funct_1(k4_relat_1(k1_numbers)) &  (v1_funct_2(k4_relat_1(k1_numbers), k1_numbers, k1_numbers) & v4_fdiff_1(k4_relat_1(k1_numbers))) ) ).
fof(fc2_polydiff, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_funct_1(k1_taylor_1(A)) &  (v1_funct_2(k1_taylor_1(A), k1_numbers, k1_numbers) & v4_fdiff_1(k1_taylor_1(A))) ) ) ) ).
fof(fc3_polydiff, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_numbers) &  (v4_fdiff_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k1_numbers, k1_numbers) &  (v4_fdiff_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ) )  =>  (v1_funct_1(k1_valued_1(A, B)) &  (v1_funct_2(k1_valued_1(A, B), k1_numbers, k1_numbers) & v4_fdiff_1(k1_valued_1(A, B))) ) ) ) ).
fof(fc4_polydiff, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_numbers) &  (v4_fdiff_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k1_numbers, k1_numbers) &  (v4_fdiff_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ) )  =>  (v1_funct_1(k45_valued_1(A, B)) &  (v1_funct_2(k45_valued_1(A, B), k1_numbers, k1_numbers) & v4_fdiff_1(k45_valued_1(A, B))) ) ) ) ).
fof(fc5_polydiff, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_numbers) &  (v4_fdiff_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k1_numbers, k1_numbers) &  (v4_fdiff_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ) )  =>  (v1_funct_1(k18_valued_1(A, B)) &  (v1_funct_2(k18_valued_1(A, B), k1_numbers, k1_numbers) & v4_fdiff_1(k18_valued_1(A, B))) ) ) ) ).
fof(fc6_polydiff, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_numbers) &  (v4_fdiff_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  & v1_xreal_0(B))  =>  (v1_funct_1(k7_valued_1(A, B)) &  (v1_funct_2(k7_valued_1(A, B), k1_numbers, k1_numbers) & v4_fdiff_1(k7_valued_1(A, B))) ) ) ) ).
fof(fc7_polydiff, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_numbers) &  (v4_fdiff_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  & v1_xreal_0(B))  =>  (v1_funct_1(k24_valued_1(A, B)) &  (v1_funct_2(k24_valued_1(A, B), k1_numbers, k1_numbers) & v4_fdiff_1(k24_valued_1(A, B))) ) ) ) ).
fof(fc8_polydiff, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_numbers) &  (v4_fdiff_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  & v1_xreal_0(B))  =>  (v1_funct_1(k13_valued_1(A, B)) &  (v1_funct_2(k13_valued_1(A, B), k1_numbers, k1_numbers) & v4_fdiff_1(k13_valued_1(A, B))) ) ) ) ).
fof(fc9_polydiff, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_numbers) &  (v4_fdiff_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  =>  (v1_funct_1(k30_valued_1(A)) &  (v1_funct_2(k30_valued_1(A), k1_numbers, k1_numbers) & v4_fdiff_1(k30_valued_1(A))) ) ) ) ).
fof(fc10_polydiff, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_numbers) &  (v4_fdiff_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  =>  (v1_funct_1(k39_valued_1(A)) &  (v1_funct_2(k39_valued_1(A), k1_numbers, k1_numbers) & v4_fdiff_1(k39_valued_1(A))) ) ) ) ).
fof(fc11_polydiff, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  &  (m1_subset_1(B, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k1_funct_7(C, D, B)) &  (v1_funct_2(k1_funct_7(C, D, B), k4_ordinal1, u1_struct_0(A)) & v1_polynom1(k1_funct_7(C, D, B), A)) ) ) ) ).
fof(fc12_polydiff, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k2_algseq_1(A, B)) &  (v1_funct_2(k2_algseq_1(A, B), k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(k2_algseq_1(A, B), A) & v1_ratfunc1(k2_algseq_1(A, B), A)) ) ) ) ) ).
fof(fc13_polydiff, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k5_polynom5(A, B, k4_struct_0(A))) &  (v1_funct_2(k5_polynom5(A, B, k4_struct_0(A)), k4_ordinal1, u1_struct_0(A)) & v1_ratfunc1(k5_polynom5(A, B, k4_struct_0(A)), A)) ) ) ) ).
fof(fc14_polydiff, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  &  (m1_subset_1(B, u1_struct_0(A)) & v7_ordinal1(C)) )  =>  (v1_funct_1(k2_polydiff(A, B, C)) &  (v1_funct_2(k2_polydiff(A, B, C), k4_ordinal1, u1_struct_0(A)) & v1_polynom1(k2_polydiff(A, B, C), A)) ) ) ) ).
fof(fc15_polydiff, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  & v7_ordinal1(C)) )  =>  (v1_funct_1(k3_polydiff(A, B, C)) &  (v1_funct_2(k3_polydiff(A, B, C), k4_ordinal1, u1_struct_0(A)) & v1_polynom1(k3_polydiff(A, B, C), A)) ) ) ) ).
fof(rd3_polydiff, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  & v7_ordinal1(B))  => k3_polydiff(A, k9_polynom3(A), B)=k9_polynom3(A)) ) ).
fof(fc16_polydiff, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_ratfunc1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k1_polynom4(A, B)) &  (v1_funct_2(k1_polynom4(A, B), k4_ordinal1, u1_struct_0(A)) & v1_ratfunc1(k1_polynom4(A, B), A)) ) ) ) ).
fof(fc17_polydiff, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k2_vectsp_1)) &  (v1_polynom1(A, k2_vectsp_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) ) )  =>  (v1_funct_1(k4_polydiff(A)) &  (v1_funct_2(k4_polydiff(A), k4_ordinal1, u1_struct_0(k2_vectsp_1)) & v1_polynom1(k4_polydiff(A), k2_vectsp_1)) ) ) ) ).
fof(fc18_polydiff, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k2_vectsp_1)) &  (v1_polynom1(A, k2_vectsp_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) ) )  =>  (v1_funct_1(k5_polydiff(A)) &  (v1_funct_2(k5_polydiff(A), k1_numbers, k1_numbers) & v4_fdiff_1(k5_polydiff(A))) ) ) ) ).
fof(fc19_polydiff, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k2_vectsp_1)) &  (v1_polynom1(A, k2_vectsp_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) ) )  =>  (v1_funct_1(k1_polydiff(k5_polydiff(A))) &  (v1_funct_2(k1_polydiff(k5_polydiff(A)), k1_numbers, k1_numbers) & v4_fdiff_1(k1_polydiff(k5_polydiff(A)))) ) ) ) ).
fof(t1_polydiff, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  => k7_valued_1(A, k5_numbers)=A) ) ).
fof(t2_polydiff, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  => k13_valued_1(A, k5_numbers)=A) ) ).
fof(t3_polydiff, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  => k7_valued_1(B, A)=k1_valued_1(k7_funcop_1(k9_xtuple_0(B), A), B)) ) ) ) ).
fof(t4_polydiff, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  => k13_valued_1(B, A)=k45_valued_1(B, k7_funcop_1(k9_xtuple_0(B), A))) ) ) ) ).
fof(t5_polydiff, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  => k24_valued_1(B, A)=k18_valued_1(k7_funcop_1(k9_xtuple_0(B), A), B)) ) ) ) ).
fof(t6_polydiff, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  => k1_valued_1(A, k8_funcop_1(k4_ordinal1, k9_xtuple_0(A), k5_numbers))=A) ) ).
fof(t7_polydiff, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  => k45_valued_1(A, k8_funcop_1(k4_ordinal1, k9_xtuple_0(A), k5_numbers))=A) ) ).
fof(t8_polydiff, axiom, r1_funct_2(k1_numbers, k1_numbers, k1_numbers, k4_ordinal1, k1_taylor_1(k5_numbers), k8_funcop_1(k4_ordinal1, k1_numbers, 1))).
fof(d1_polydiff, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_numbers) &  (v4_fdiff_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  => k1_polydiff(A)=k2_fdiff_1(A, k1_numbers)) ) ).
fof(t9_polydiff, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (v4_fdiff_1(A) <=>  (! [B] :  (v1_xreal_0(B) => r1_fdiff_1(A, B)) ) ) ) ) ).
fof(t10_polydiff, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_numbers, k1_numbers) &  (v4_fdiff_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  => k1_funct_1(k1_polydiff(B), A)=k1_fdiff_1(B, A)) ) ) ) ).
fof(d2_polydiff, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (v4_fdiff_1(A) <=>  (! [B] :  (v1_xreal_0(B) => r1_fdiff_1(A, B)) ) ) ) ) ).
fof(t11_polydiff, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v3_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  => r1_funct_2(k1_numbers, k1_numbers, k1_numbers, k4_ordinal1, k1_polydiff(A), k8_funcop_1(k4_ordinal1, k1_numbers, k5_numbers))) ) ).
fof(t12_polydiff, axiom, r1_funct_2(k1_numbers, k1_numbers, k1_numbers, k4_ordinal1, k1_polydiff(k6_partfun1(k1_numbers)), k8_funcop_1(k4_ordinal1, k1_numbers, 1))).
fof(t13_polydiff, axiom,  (! [A] :  (v7_ordinal1(A) => r2_funct_2(k1_numbers, k1_numbers, k1_polydiff(k1_taylor_1(A)), k26_valued_1(k1_numbers, k1_numbers, k1_taylor_1(k6_xcmplx_0(A, 1)), A))) ) ).
fof(t14_polydiff, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_numbers) &  (v4_fdiff_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_numbers, k1_numbers) &  (v4_fdiff_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  => r2_funct_2(k1_numbers, k1_numbers, k1_polydiff(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_polydiff(A), k1_polydiff(B)))) ) ) ) ).
fof(t15_polydiff, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_numbers) &  (v4_fdiff_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_numbers, k1_numbers) &  (v4_fdiff_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  => r2_funct_2(k1_numbers, k1_numbers, k1_polydiff(k47_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)), k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_polydiff(A), k1_polydiff(B)))) ) ) ) ).
fof(t16_polydiff, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_numbers) &  (v4_fdiff_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_numbers, k1_numbers) &  (v4_fdiff_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  => r2_funct_2(k1_numbers, k1_numbers, k1_polydiff(k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B)), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, B, k1_polydiff(A)), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, A, k1_polydiff(B))))) ) ) ) ).
fof(t17_polydiff, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_numbers, k1_numbers) &  (v4_fdiff_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  => r2_funct_2(k1_numbers, k1_numbers, k1_polydiff(k9_valued_1(k1_numbers, k1_numbers, B, A)), k1_polydiff(B))) ) ) ) ).
fof(t18_polydiff, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_numbers, k1_numbers) &  (v4_fdiff_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  => r2_funct_2(k1_numbers, k1_numbers, k1_polydiff(k15_valued_1(k1_numbers, k1_numbers, B, A)), k1_polydiff(B))) ) ) ) ).
fof(t19_polydiff, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_numbers, k1_numbers) &  (v4_fdiff_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  => r2_funct_2(k1_numbers, k1_numbers, k1_polydiff(k26_valued_1(k1_numbers, k1_numbers, B, A)), k26_valued_1(k1_numbers, k1_numbers, k1_polydiff(B), A))) ) ) ) ).
fof(t20_polydiff, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_numbers) &  (v4_fdiff_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  => r2_funct_2(k1_numbers, k1_numbers, k1_polydiff(k32_valued_1(k1_numbers, k1_numbers, A)), k32_valued_1(k1_numbers, k1_numbers, k1_polydiff(A)))) ) ).
fof(t21_polydiff, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, u1_struct_0(A)) & v1_funct_1(C)) )  =>  (! [D] : r1_tarski(k2_polynom1(A, k1_funct_7(C, D, B)), k2_xboole_0(k2_polynom1(A, C), k1_tarski(D)))) ) ) ) ) ) ) ).
fof(t22_polydiff, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ( ~ (B=k9_polynom3(A))  => k7_nat_d(k1_algseq_1(A, B), 1)=k6_xcmplx_0(k1_algseq_1(A, B), 1)) ) ) ) ) ).
fof(t23_polydiff, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_ratfunc1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (r2_funct_2(k4_ordinal1, u1_struct_0(A), B, k9_polynom3(A)) | r2_funct_2(k4_ordinal1, u1_struct_0(A), B, k2_algseq_1(A, k8_nat_1(u1_struct_0(A), B, k5_numbers)))) ) ) ) ) ).
fof(d3_polydiff, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) => k2_polydiff(A, B, C)=k14_funct_7(k4_ordinal1, u1_struct_0(A), k9_polynom3(A), C, B)) ) ) ) ) ) ).
fof(t24_polydiff, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k8_nat_1(u1_struct_0(B), k2_polydiff(B, C, A), A)=C) ) ) ) ) ) ).
fof(t25_polydiff, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_struct_0(C))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  ( ~ (A=B)  => k8_nat_1(u1_struct_0(C), k2_polydiff(C, D, B), A)=k4_struct_0(C)) ) ) ) ) ) ) ) ) ).
fof(t26_polydiff, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => r1_algseq_1(B, k2_polydiff(B, C, A), k1_nat_1(A, 1))) ) ) ) ) ) ).
fof(t27_polydiff, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  ( ~ (C=k4_struct_0(B))  => k1_algseq_1(B, k2_polydiff(B, C, A))=k1_nat_1(A, 1)) ) ) ) ) ) ) ).
fof(t28_polydiff, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  => r2_funct_2(k4_ordinal1, u1_struct_0(B), k2_polydiff(B, k4_struct_0(B), A), k9_polynom3(B))) ) ) ) ).
fof(t29_polydiff, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v4_rlvect_1(B) & l2_algstr_0(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => r2_funct_2(k4_ordinal1, u1_struct_0(B), k1_normsp_1(B, k2_polydiff(B, C, A), k2_polydiff(B, D, A)), k2_polydiff(B, k1_algstr_0(B, C, D), A))) ) ) ) ) ) ) ) ).
fof(t30_polydiff, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => r2_funct_2(k4_ordinal1, u1_struct_0(B), k5_vfunct_1(k4_ordinal1, B, k2_polydiff(B, C, A)), k2_polydiff(B, k4_algstr_0(B, C), A))) ) ) ) ) ) ).
fof(t31_polydiff, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => r2_funct_2(k4_ordinal1, u1_struct_0(B), k2_normsp_1(B, k2_polydiff(B, C, A), k2_polydiff(B, D, A)), k2_polydiff(B, k5_algstr_0(B, C, D), A))) ) ) ) ) ) ) ) ).
fof(d4_polydiff, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (v7_ordinal1(C) => k3_polydiff(A, B, C)=k14_funct_7(k4_ordinal1, u1_struct_0(A), B, C, k4_struct_0(A))) ) ) ) ) ) ).
fof(t32_polydiff, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) )  => k8_nat_1(u1_struct_0(B), k3_polydiff(B, C, A), A)=k4_struct_0(B)) ) ) ) ) ) ).
fof(t33_polydiff, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_struct_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(C))))) )  =>  ( ~ (A=B)  => k8_nat_1(u1_struct_0(C), k3_polydiff(C, D, B), A)=k8_nat_1(u1_struct_0(C), D, A)) ) ) ) ) ) ) ) ) ).
fof(t34_polydiff, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  => r2_funct_2(k4_ordinal1, u1_struct_0(B), k3_polydiff(B, k9_polynom3(B), A), k9_polynom3(B))) ) ) ) ).
fof(t35_polydiff, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) )  =>  ( ~ (r1_xxreal_0(A, k7_nat_d(k1_algseq_1(B, C), 1)))  => r2_funct_2(k4_ordinal1, u1_struct_0(B), k3_polydiff(B, C, A), C)) ) ) ) ) ) ) ).
fof(t36_polydiff, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ~ ( ( ~ (B=k9_polynom3(A))  & r1_xxreal_0(k1_algseq_1(A, B), k1_algseq_1(A, k3_polydiff(A, B, k7_nat_d(k1_algseq_1(A, B), 1))))) ) ) ) ) ) ).
fof(t37_polydiff, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k1_normsp_1(A, k3_polydiff(A, B, k7_nat_d(k1_algseq_1(A, B), 1)), k1_polynom4(A, B)), B)) ) ) ) ).
fof(t38_polydiff, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_vectsp_1(B) &  (v1_group_1(B) & l6_algstr_0(B)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k2_polynom4(B, k2_polydiff(B, C, A), D)=k6_algstr_0(B, k8_nat_1(u1_struct_0(B), k2_polydiff(B, C, A), A), k1_polynom5(B, D, A))) ) ) ) ) ) ) ) ).
fof(t39_polydiff, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_vectsp_1)) => k1_polynom5(k2_vectsp_1, B, A)=k1_newton(B, A)) ) ) ) ).
fof(t40_polydiff, axiom,  (! [A] :  (v7_ordinal1(A) => r1_funct_2(k1_numbers, k1_numbers, u1_struct_0(k2_vectsp_1), u1_struct_0(k2_vectsp_1), k1_taylor_1(A), k9_polynom5(k2_vectsp_1, k5_struct_0(k2_vectsp_1), A))) ) ).
fof(t41_polydiff, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_vectsp_1)) => k9_polynom5(k2_vectsp_1, B, k1_nat_1(A, 1))=k18_valued_1(k9_polynom5(k2_vectsp_1, B, A), k6_partfun1(k1_numbers))) ) ) ) ).
fof(t42_polydiff, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_vectsp_1)) =>  (v1_funct_1(k9_polynom5(k2_vectsp_1, B, A)) &  (v1_funct_2(k9_polynom5(k2_vectsp_1, B, A), k1_numbers, k1_numbers) &  (v4_fdiff_1(k9_polynom5(k2_vectsp_1, B, A)) & m1_subset_1(k9_polynom5(k2_vectsp_1, B, A), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ) ) ) ) ) ).
fof(t43_polydiff, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_vectsp_1)) => k1_polynom5(k2_vectsp_1, B, A)=k1_funct_1(k1_taylor_1(A), B)) ) ) ) ).
fof(d5_polydiff, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k2_vectsp_1)) &  (v1_polynom1(A, k2_vectsp_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k2_vectsp_1)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) )  =>  (B=k4_polydiff(A) <=>  (! [C] :  (v7_ordinal1(C) => k8_nat_1(u1_struct_0(k2_vectsp_1), B, C)=k3_xcmplx_0(k8_nat_1(u1_struct_0(k2_vectsp_1), A, k1_nat_1(C, 1)), k1_nat_1(C, 1))) ) ) ) ) ) ) ).
fof(t44_polydiff, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k2_vectsp_1)) &  (v1_polynom1(A, k2_vectsp_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) ) )  =>  ( ~ (A=k9_polynom3(k2_vectsp_1))  => k1_algseq_1(k2_vectsp_1, k4_polydiff(A))=k6_xcmplx_0(k1_algseq_1(k2_vectsp_1, A), 1)) ) ) ).
fof(t45_polydiff, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k2_vectsp_1)) &  (v1_polynom1(A, k2_vectsp_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) ) )  =>  ( ~ (A=k9_polynom3(k2_vectsp_1))  => k1_algseq_1(k2_vectsp_1, A)=k1_nat_1(k1_algseq_1(k2_vectsp_1, k4_polydiff(A)), 1)) ) ) ).
fof(t46_polydiff, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k2_vectsp_1)) &  (v1_polynom1(A, k2_vectsp_1) &  (v1_ratfunc1(A, k2_vectsp_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) ) ) )  => r2_funct_2(k4_ordinal1, u1_struct_0(k2_vectsp_1), k4_polydiff(A), k9_polynom3(k2_vectsp_1))) ) ).
fof(t47_polydiff, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k2_vectsp_1)) &  (v1_polynom1(A, k2_vectsp_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k2_vectsp_1)) &  (v1_polynom1(B, k2_vectsp_1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) ) )  => r2_funct_2(k4_ordinal1, u1_struct_0(k2_vectsp_1), k4_polydiff(k8_polynom3(k2_vectsp_1, A, B)), k8_polynom3(k2_vectsp_1, k4_polydiff(A), k4_polydiff(B)))) ) ) ) ).
fof(t48_polydiff, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k2_vectsp_1)) &  (v1_polynom1(A, k2_vectsp_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) ) )  => r2_funct_2(k4_ordinal1, u1_struct_0(k2_vectsp_1), k4_polydiff(k5_vfunct_1(k4_ordinal1, k2_vectsp_1, A)), k5_vfunct_1(k4_ordinal1, k2_vectsp_1, k4_polydiff(A)))) ) ).
fof(t49_polydiff, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k2_vectsp_1)) &  (v1_polynom1(A, k2_vectsp_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k2_vectsp_1)) &  (v1_polynom1(B, k2_vectsp_1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) ) )  => r2_funct_2(k4_ordinal1, u1_struct_0(k2_vectsp_1), k4_polydiff(k2_normsp_1(k2_vectsp_1, A, B)), k2_normsp_1(k2_vectsp_1, k4_polydiff(A), k4_polydiff(B)))) ) ) ) ).
fof(t50_polydiff, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k2_vectsp_1)) &  (v1_polynom1(A, k2_vectsp_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) ) )  => k4_polydiff(k1_polynom4(k2_vectsp_1, A))=k1_funct_7(k9_polynom3(k2_vectsp_1), k7_nat_d(k1_algseq_1(k2_vectsp_1, A), 2), k3_xcmplx_0(k8_nat_1(u1_struct_0(k2_vectsp_1), A, k7_nat_d(k1_algseq_1(k2_vectsp_1, A), 1)), k7_nat_d(k1_algseq_1(k2_vectsp_1, A), 1)))) ) ).
fof(t51_polydiff, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_vectsp_1)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_vectsp_1)) => r2_funct_2(k4_ordinal1, u1_struct_0(k2_vectsp_1), k4_polydiff(k5_polynom5(k2_vectsp_1, A, B)), k2_algseq_1(k2_vectsp_1, B))) ) ) ) ).
fof(d6_polydiff, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k2_vectsp_1)) &  (v1_polynom1(A, k2_vectsp_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) ) )  => k5_polydiff(A)=k10_polynom5(k2_vectsp_1, A)) ) ).
fof(t52_polydiff, axiom, r1_funct_2(k1_numbers, k1_numbers, k1_numbers, k4_ordinal1, k5_polydiff(k9_polynom3(k2_vectsp_1)), k8_funcop_1(k4_ordinal1, k1_numbers, k5_numbers))).
fof(t53_polydiff, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_vectsp_1)) => r1_funct_2(k1_numbers, k1_numbers, k1_numbers, u1_struct_0(k2_vectsp_1), k5_polydiff(k2_algseq_1(k2_vectsp_1, A)), k8_funcop_1(u1_struct_0(k2_vectsp_1), k1_numbers, A))) ) ).
fof(t54_polydiff, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k2_vectsp_1)) &  (v1_polynom1(A, k2_vectsp_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) ) )  =>  (v1_ratfunc1(A, k2_vectsp_1) => r1_funct_2(k1_numbers, k1_numbers, k1_numbers, k4_ordinal1, k1_polydiff(k5_polydiff(A)), k8_funcop_1(k4_ordinal1, k1_numbers, k5_numbers))) ) ) ).
fof(t55_polydiff, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k2_vectsp_1)) &  (v1_polynom1(A, k2_vectsp_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k2_vectsp_1)) &  (v1_polynom1(B, k2_vectsp_1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) ) )  => r2_funct_2(k1_numbers, k1_numbers, k5_polydiff(k8_polynom3(k2_vectsp_1, A, B)), k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k5_polydiff(A), k5_polydiff(B)))) ) ) ) ).
fof(t56_polydiff, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k2_vectsp_1)) &  (v1_polynom1(A, k2_vectsp_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) ) )  => r2_funct_2(k1_numbers, k1_numbers, k5_polydiff(k5_vfunct_1(k4_ordinal1, k2_vectsp_1, A)), k32_valued_1(k1_numbers, k1_numbers, k5_polydiff(A)))) ) ).
fof(t57_polydiff, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k2_vectsp_1)) &  (v1_polynom1(A, k2_vectsp_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k2_vectsp_1)) &  (v1_polynom1(B, k2_vectsp_1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) ) )  => r2_funct_2(k1_numbers, k1_numbers, k5_polydiff(k2_normsp_1(k2_vectsp_1, A, B)), k47_valued_1(k1_numbers, k1_numbers, k1_numbers, k5_polydiff(A), k5_polydiff(B)))) ) ) ) ).
fof(t58_polydiff, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k2_vectsp_1)) &  (v1_polynom1(A, k2_vectsp_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) ) )  => r1_funct_2(k1_numbers, k1_numbers, u1_struct_0(k2_vectsp_1), u1_struct_0(k2_vectsp_1), k5_polydiff(k1_polynom4(k2_vectsp_1, A)), k9_polynom5(k2_vectsp_1, k8_nat_1(u1_struct_0(k2_vectsp_1), A, k7_nat_d(k1_algseq_1(k2_vectsp_1, A), 1)), k7_nat_d(k1_algseq_1(k2_vectsp_1, A), 1)))) ) ).
fof(t59_polydiff, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k2_vectsp_1)) &  (v1_polynom1(A, k2_vectsp_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) ) )  => r2_funct_2(k1_numbers, k1_numbers, k5_polydiff(k1_polynom4(k2_vectsp_1, A)), k26_valued_1(k1_numbers, k1_numbers, k1_taylor_1(k7_nat_d(k1_algseq_1(k2_vectsp_1, A), 1)), k8_nat_1(u1_struct_0(k2_vectsp_1), A, k7_nat_d(k1_algseq_1(k2_vectsp_1, A), 1))))) ) ).
fof(t60_polydiff, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_vectsp_1)) => r2_funct_2(k1_numbers, k1_numbers, k5_polydiff(k2_polydiff(k2_vectsp_1, B, A)), k26_valued_1(k1_numbers, k1_numbers, k1_taylor_1(A), B))) ) ) ) ).
fof(t61_polydiff, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k2_vectsp_1)) &  (v1_polynom1(A, k2_vectsp_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) ) )  => r2_funct_2(k1_numbers, k1_numbers, k1_polydiff(k5_polydiff(A)), k5_polydiff(k4_polydiff(A)))) ) ).
fof(dt_k1_polydiff, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_numbers) &  (v4_fdiff_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  =>  (v1_funct_1(k1_polydiff(A)) &  (v1_funct_2(k1_polydiff(A), k1_numbers, k1_numbers) & m1_subset_1(k1_polydiff(A), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ) ) ).
fof(dt_k2_polydiff, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  &  (m1_subset_1(B, u1_struct_0(A)) & v7_ordinal1(C)) )  =>  (v1_funct_1(k2_polydiff(A, B, C)) &  (v1_funct_2(k2_polydiff(A, B, C), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k2_polydiff(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(dt_k3_polydiff, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  & v7_ordinal1(C)) )  =>  (v1_funct_1(k3_polydiff(A, B, C)) &  (v1_funct_2(k3_polydiff(A, B, C), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k3_polydiff(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(dt_k4_polydiff, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k2_vectsp_1)) &  (v1_polynom1(A, k2_vectsp_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) ) )  =>  (v1_funct_1(k4_polydiff(A)) &  (v1_funct_2(k4_polydiff(A), k4_ordinal1, u1_struct_0(k2_vectsp_1)) & m1_subset_1(k4_polydiff(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) ) ) ) ).
fof(dt_k5_polydiff, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k2_vectsp_1)) &  (v1_polynom1(A, k2_vectsp_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k2_vectsp_1))))) ) )  =>  (v1_funct_1(k5_polydiff(A)) &  (v1_funct_2(k5_polydiff(A), k1_numbers, k1_numbers) & m1_subset_1(k5_polydiff(A), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ) ) ).
fof(fc1_polyeq_1, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => v1_xcmplx_0(k1_polyeq_1(A, B, C))) ) ).
fof(fc2_polyeq_1, axiom,  (! [A, B, C] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) & v1_xreal_0(C)) )  => v1_xreal_0(k1_polyeq_1(A, B, C))) ) ).
fof(fc3_polyeq_1, axiom,  (! [A, B, C, D] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v1_xreal_0(C) & v1_xreal_0(D)) ) )  => v1_xreal_0(k2_polyeq_1(A, B, C, D))) ) ).
fof(fc4_polyeq_1, axiom,  (! [A, B, C, D] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) &  (v1_xcmplx_0(C) & v1_xcmplx_0(D)) ) )  => v1_xcmplx_0(k2_polyeq_1(A, B, C, D))) ) ).
fof(fc5_polyeq_1, axiom,  (! [A, B, C, D] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v1_xreal_0(C) & v1_xreal_0(D)) ) )  => v1_xreal_0(k3_polyeq_1(A, B, C, D))) ) ).
fof(fc6_polyeq_1, axiom,  (! [A, B, C, D, E] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) &  (v1_xcmplx_0(C) &  (v1_xcmplx_0(D) & v1_xcmplx_0(E)) ) ) )  => v1_xcmplx_0(k4_polyeq_1(A, B, C, D, E))) ) ).
fof(fc7_polyeq_1, axiom,  (! [A, B, C, D, E] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v1_xreal_0(C) &  (v1_xreal_0(D) & v1_xreal_0(E)) ) ) )  => v1_xreal_0(k4_polyeq_1(A, B, C, D, E))) ) ).
fof(fc8_polyeq_1, axiom,  (! [A, B, C, D, E] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v1_xreal_0(C) &  (v1_xreal_0(D) & v1_xreal_0(E)) ) ) )  => v1_xreal_0(k5_polyeq_1(A, B, C, D, E))) ) ).
fof(d1_polyeq_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k1_polyeq_1(A, B, C)=k2_xcmplx_0(k3_xcmplx_0(A, C), B)) ) ) ) ) ) ).
fof(t1_polyeq_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (k1_polyeq_1(A, B, C)=k5_numbers =>  (A=k5_numbers | C=k4_xcmplx_0(k7_xcmplx_0(B, A))) ) ) ) ) ) ) ) ).
fof(t2_polyeq_1, axiom,  (! [A] :  (v1_xcmplx_0(A) => k1_polyeq_1(k5_numbers, k5_numbers, A)=k5_numbers) ) ).
fof(t3_polyeq_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  ( ~ (A=k5_numbers)  =>  (! [B] :  (v1_xcmplx_0(B) =>  ~ (k1_polyeq_1(k5_numbers, A, B)=k5_numbers) ) ) ) ) ) ).
fof(d2_polyeq_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) => k2_polyeq_1(A, B, C, D)=k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A, k1_square_1(D)), k3_xcmplx_0(B, D)), C)) ) ) ) ) ) ) ) ).
fof(t4_polyeq_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  (v1_xcmplx_0(E) =>  (! [F] :  (v1_xcmplx_0(F) =>  ( (! [G] :  (v1_xreal_0(G) => k2_polyeq_1(A, B, C, G)=k2_polyeq_1(D, E, F, G)) )  =>  (A=D &  (B=E & C=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_polyeq_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (r1_xxreal_0(k5_numbers, k1_quin_1(A, B, C)) =>  (A=k5_numbers |  (! [D] :  (v1_xreal_0(D) =>  ~ ( (k2_polyeq_1(A, B, C, D)=k5_numbers &  ( ~ (D=k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(B), k3_square_1(k1_quin_1(A, B, C))), k3_xcmplx_0(2, A)))  &  ~ (D=k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(B), k3_square_1(k1_quin_1(A, B, C))), k3_xcmplx_0(2, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_polyeq_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  ( (k1_quin_1(A, B, C)=k5_numbers & k2_polyeq_1(A, B, C, D)=k5_numbers)  =>  (A=k5_numbers | D=k4_xcmplx_0(k7_xcmplx_0(B, k3_xcmplx_0(2, A)))) ) ) ) ) ) ) ) ) ) ).
fof(t7_polyeq_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(k5_numbers, k1_quin_1(A, B, C)))  =>  (! [D] :  (v1_xreal_0(D) =>  ~ (k2_polyeq_1(A, B, C, D)=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t8_polyeq_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  ( (! [D] :  (v1_xreal_0(D) => k2_polyeq_1(k5_numbers, B, C, D)=k5_numbers) )  =>  (B=k5_numbers | A=k4_xcmplx_0(k7_xcmplx_0(C, B))) ) ) ) ) ) ) ) ).
fof(t9_polyeq_1, axiom,  (! [A] :  (v1_xcmplx_0(A) => k2_polyeq_1(k5_numbers, k5_numbers, k5_numbers, A)=k5_numbers) ) ).
fof(t10_polyeq_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  ( ~ (A=k5_numbers)  =>  (! [B] :  (v1_xcmplx_0(B) =>  ~ (k2_polyeq_1(k5_numbers, k5_numbers, A, B)=k5_numbers) ) ) ) ) ) ).
fof(d3_polyeq_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) => k3_polyeq_1(A, B, C, D)=k3_xcmplx_0(A, k3_xcmplx_0(k6_xcmplx_0(B, C), k6_xcmplx_0(B, D)))) ) ) ) ) ) ) ) ).
fof(t11_polyeq_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  (v1_xcmplx_0(E) =>  ( (! [F] :  (v1_xreal_0(F) => k2_polyeq_1(C, D, E, F)=k3_polyeq_1(C, F, A, B)) )  =>  (C=k5_numbers |  (k7_xcmplx_0(D, C)=k4_xcmplx_0(k2_xcmplx_0(A, B)) & k7_xcmplx_0(E, C)=k3_xcmplx_0(A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_polyeq_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  (v1_xcmplx_0(E) => k4_polyeq_1(A, B, C, D, E)=k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A, k1_newton(E, 3)), k3_xcmplx_0(B, k1_square_1(E))), k3_xcmplx_0(C, E)), D)) ) ) ) ) ) ) ) ) ) ).
fof(t12_polyeq_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (! [I] :  (v1_xreal_0(I) => k4_polyeq_1(A, C, E, G, I)=k4_polyeq_1(B, D, F, H, I)) )  =>  (A=B &  (C=D &  (E=F & G=H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_polyeq_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  (v1_xcmplx_0(E) => k5_polyeq_1(A, B, C, D, E)=k3_xcmplx_0(A, k3_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(B, C), k6_xcmplx_0(B, D)), k6_xcmplx_0(B, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t13_polyeq_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ( (! [H] :  (v1_xreal_0(H) => k4_polyeq_1(A, B, C, D, H)=k5_polyeq_1(A, H, E, F, G)) )  =>  (A=k5_numbers |  (k7_xcmplx_0(B, A)=k4_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(E, F), G)) &  (k7_xcmplx_0(C, A)=k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(E, F), k3_xcmplx_0(F, G)), k3_xcmplx_0(E, G)) & k7_xcmplx_0(D, A)=k4_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(E, F), G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_polyeq_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_newton(k2_xcmplx_0(B, A), 3)=k2_xcmplx_0(k2_xcmplx_0(k1_newton(B, 3), k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, A), k1_square_1(B)), k3_xcmplx_0(k3_xcmplx_0(3, k1_square_1(A)), B))), k1_newton(A, 3))) ) ) ) ).
fof(t15_polyeq_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (k4_polyeq_1(A, B, C, D, E)=k5_numbers =>  (A=k5_numbers |  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  (! [J] :  (v1_xreal_0(J) =>  ( (J=k2_xcmplx_0(E, k7_xcmplx_0(B, k3_xcmplx_0(3, A))) &  (I=k4_xcmplx_0(k7_xcmplx_0(B, k3_xcmplx_0(3, A))) &  (F=k7_xcmplx_0(B, A) &  (G=k7_xcmplx_0(C, A) & H=k7_xcmplx_0(D, A)) ) ) )  => k2_xcmplx_0(k2_xcmplx_0(k1_newton(J, 3), k2_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(3, I), F), k1_square_1(J)), k3_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(3, k1_square_1(I)), k3_xcmplx_0(2, k3_xcmplx_0(F, I))), G), J))), k2_xcmplx_0(k2_xcmplx_0(k1_newton(I, 3), k3_xcmplx_0(F, k1_square_1(I))), k2_xcmplx_0(k3_xcmplx_0(G, I), H)))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_polyeq_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (k4_polyeq_1(A, B, C, D, E)=k5_numbers =>  (A=k5_numbers |  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  (! [J] :  (v1_xreal_0(J) =>  ( (J=k2_xcmplx_0(E, k7_xcmplx_0(B, k3_xcmplx_0(3, A))) &  (I=k4_xcmplx_0(k7_xcmplx_0(B, k3_xcmplx_0(3, A))) &  (F=k7_xcmplx_0(B, A) &  (G=k7_xcmplx_0(C, A) & H=k7_xcmplx_0(D, A)) ) ) )  => k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_newton(J, 3), k3_xcmplx_0(k5_numbers, k1_square_1(J))), k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, A), C), k1_square_1(B)), k3_xcmplx_0(3, k1_square_1(A))), J)), k2_xcmplx_0(k3_xcmplx_0(2, k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(3, A)), 3)), k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, A), D), k3_xcmplx_0(B, C)), k3_xcmplx_0(3, k1_square_1(A)))))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_polyeq_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_newton(E, 3), k3_xcmplx_0(k5_numbers, k1_square_1(E))), k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, A), C), k1_square_1(B)), k3_xcmplx_0(3, k1_square_1(A))), E)), k2_xcmplx_0(k3_xcmplx_0(2, k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(3, A)), 3)), k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, A), D), k3_xcmplx_0(B, C)), k3_xcmplx_0(3, k1_square_1(A)))))=k5_numbers =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ( (F=k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, A), C), k1_square_1(B)), k3_xcmplx_0(3, k1_square_1(A))) & G=k2_xcmplx_0(k3_xcmplx_0(2, k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(3, A)), 3)), k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, A), D), k3_xcmplx_0(B, C)), k3_xcmplx_0(3, k1_square_1(A)))))  => k4_polyeq_1(1, k5_numbers, F, G, E)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_polyeq_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (k4_polyeq_1(1, k5_numbers, A, B, C)=k5_numbers =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ( (C=k2_xcmplx_0(D, E) & k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, E), D), A)=k5_numbers)  =>  (k2_xcmplx_0(k1_newton(D, 3), k1_newton(E, 3))=k4_xcmplx_0(B) & k3_xcmplx_0(k1_newton(D, 3), k1_newton(E, 3))=k1_newton(k4_xcmplx_0(k7_xcmplx_0(A, 3)), 3)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_polyeq_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (k4_polyeq_1(1, k5_numbers, A, B, C)=k5_numbers =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( (C=k2_xcmplx_0(D, E) &  (k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, E), D), A)=k5_numbers &  ( ~ (C=k2_xcmplx_0(k1_power(3, k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(B, 2)), k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(B), 4), k1_newton(k7_xcmplx_0(A, 3), 3))))), k1_power(3, k6_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(B, 2)), k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(B), 4), k1_newton(k7_xcmplx_0(A, 3), 3)))))))  &  ( ~ (C=k2_xcmplx_0(k1_power(3, k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(B, 2)), k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(B), 4), k1_newton(k7_xcmplx_0(A, 3), 3))))), k1_power(3, k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(B, 2)), k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(B), 4), k1_newton(k7_xcmplx_0(A, 3), 3)))))))  &  ~ (C=k2_xcmplx_0(k1_power(3, k6_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(B, 2)), k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(B), 4), k1_newton(k7_xcmplx_0(A, 3), 3))))), k1_power(3, k6_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(B, 2)), k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(B), 4), k1_newton(k7_xcmplx_0(A, 3), 3))))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_polyeq_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (A=k5_numbers)  &  ( ~ (r1_xxreal_0(k1_quin_1(A, B, C), k5_numbers))  &  (k4_polyeq_1(k5_numbers, A, B, C, D)=k5_numbers &  ( ~ (D=k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(B), k3_square_1(k1_quin_1(A, B, C))), k3_xcmplx_0(2, A)))  &  ~ (D=k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(B), k3_square_1(k1_quin_1(A, B, C))), k3_xcmplx_0(2, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_polyeq_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (D=k7_xcmplx_0(B, A) &  (E=k7_xcmplx_0(C, A) & k4_polyeq_1(A, k5_numbers, B, C, F)=k5_numbers) )  =>  (A=k5_numbers |  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ~ ( (F=k2_xcmplx_0(G, H) &  (k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, H), G), D)=k5_numbers &  ( ~ (F=k2_xcmplx_0(k1_power(3, k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(C, k3_xcmplx_0(2, A))), k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(C), k3_xcmplx_0(4, k1_square_1(A))), k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(3, A)), 3))))), k1_power(3, k6_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(C, k3_xcmplx_0(2, A))), k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(C), k3_xcmplx_0(4, k1_square_1(A))), k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(3, A)), 3)))))))  &  ( ~ (F=k2_xcmplx_0(k1_power(3, k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(C, k3_xcmplx_0(2, A))), k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(C), k3_xcmplx_0(4, k1_square_1(A))), k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(3, A)), 3))))), k1_power(3, k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(C, k3_xcmplx_0(2, A))), k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(C), k3_xcmplx_0(4, k1_square_1(A))), k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(3, A)), 3)))))))  &  ~ (F=k2_xcmplx_0(k1_power(3, k6_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(C, k3_xcmplx_0(2, A))), k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(C), k3_xcmplx_0(4, k1_square_1(A))), k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(3, A)), 3))))), k1_power(3, k6_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(C, k3_xcmplx_0(2, A))), k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(C), k3_xcmplx_0(4, k1_square_1(A))), k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(3, A)), 3))))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_polyeq_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (A=k5_numbers)  &  (r1_xxreal_0(k5_numbers, k1_quin_1(A, B, C)) &  (k4_polyeq_1(A, B, C, k5_numbers, D)=k5_numbers &  ( ~ (D=k5_numbers)  &  ( ~ (D=k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(B), k3_square_1(k1_quin_1(A, B, C))), k3_xcmplx_0(2, A)))  &  ~ (D=k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(B), k3_square_1(k1_quin_1(A, B, C))), k3_xcmplx_0(2, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_polyeq_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (A=k5_numbers)  &  ( ~ (r1_xxreal_0(k5_numbers, k7_xcmplx_0(B, A)))  &  (k4_polyeq_1(A, k5_numbers, B, k5_numbers, C)=k5_numbers &  ( ~ (C=k5_numbers)  &  ( ~ (C=k3_square_1(k4_xcmplx_0(k7_xcmplx_0(B, A))))  &  ~ (C=k4_xcmplx_0(k3_square_1(k4_xcmplx_0(k7_xcmplx_0(B, A))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_polyeq_2, axiom,  (! [A, B, C, D, E, F] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) &  (v1_xcmplx_0(C) &  (v1_xcmplx_0(D) &  (v1_xcmplx_0(E) & v1_xcmplx_0(F)) ) ) ) )  => v1_xcmplx_0(k1_polyeq_2(A, B, C, D, E, F))) ) ).
fof(fc2_polyeq_2, axiom,  (! [A, B, C, D, E, F] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v1_xreal_0(C) &  (v1_xreal_0(D) &  (v1_xreal_0(E) & v1_xreal_0(F)) ) ) ) )  => v1_xreal_0(k1_polyeq_2(A, B, C, D, E, F))) ) ).
fof(fc3_polyeq_2, axiom,  (! [A, B, C, D, E, F] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v1_xreal_0(C) &  (v1_xreal_0(D) &  (v1_xreal_0(E) & v1_xreal_0(F)) ) ) ) )  => v1_xreal_0(k2_polyeq_2(A, B, C, D, E, F))) ) ).
fof(d1_polyeq_2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  (v1_xcmplx_0(E) =>  (! [F] :  (v1_xcmplx_0(F) => k1_polyeq_2(A, B, C, D, E, F)=k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A, k1_newton(F, 4)), k3_xcmplx_0(B, k1_newton(F, 3))), k3_xcmplx_0(C, k1_square_1(F))), k3_xcmplx_0(D, F)), E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_polyeq_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (k1_polyeq_2(A, k5_numbers, B, k5_numbers, C, D)=k5_numbers =>  (A=k5_numbers |  (C=k5_numbers |  (r1_xxreal_0(k6_xcmplx_0(k1_square_1(B), k3_xcmplx_0(k3_xcmplx_0(4, A), C)), k5_numbers) |  ( ~ (D=k5_numbers)  &  ~ ( ( ~ (D=k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(B), k3_square_1(k1_quin_1(A, B, C))), k3_xcmplx_0(2, A))))  &  ( ~ (D=k3_square_1(k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(B), k3_square_1(k1_quin_1(A, B, C))), k3_xcmplx_0(2, A))))  &  ( ~ (D=k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(B), k3_square_1(k1_quin_1(A, B, C))), k3_xcmplx_0(2, A)))))  &  ~ (D=k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(B), k3_square_1(k1_quin_1(A, B, C))), k3_xcmplx_0(2, A))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_polyeq_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ( (E=k2_xcmplx_0(D, k7_xcmplx_0(1, D)) & k1_polyeq_2(A, B, C, B, A, D)=k5_numbers)  =>  (A=k5_numbers |  ( ~ (D=k5_numbers)  & k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A, k1_square_1(E)), k3_xcmplx_0(B, E)), C), k3_xcmplx_0(2, A))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_polyeq_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ( (E=k2_xcmplx_0(D, k7_xcmplx_0(1, D)) & k1_polyeq_2(A, B, C, B, A, D)=k5_numbers)  =>  (A=k5_numbers |  (r1_xxreal_0(k2_xcmplx_0(k6_xcmplx_0(k1_square_1(B), k3_xcmplx_0(k3_xcmplx_0(4, A), C)), k3_xcmplx_0(8, k1_square_1(A))), k5_numbers) |  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ( (F=k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(B), k3_square_1(k2_xcmplx_0(k6_xcmplx_0(k1_square_1(B), k3_xcmplx_0(k3_xcmplx_0(4, A), C)), k3_xcmplx_0(8, k1_square_1(A))))), k3_xcmplx_0(2, A)) & G=k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(B), k3_square_1(k2_xcmplx_0(k6_xcmplx_0(k1_square_1(B), k3_xcmplx_0(k3_xcmplx_0(4, A), C)), k3_xcmplx_0(8, k1_square_1(A))))), k3_xcmplx_0(2, A)))  =>  ( ~ (D=k5_numbers)  &  ~ ( ( ~ (D=k7_xcmplx_0(k2_xcmplx_0(F, k3_square_1(k1_quin_1(1, k4_xcmplx_0(F), 1))), 2))  &  ( ~ (D=k7_xcmplx_0(k2_xcmplx_0(G, k3_square_1(k1_quin_1(1, k4_xcmplx_0(G), 1))), 2))  &  ( ~ (D=k7_xcmplx_0(k6_xcmplx_0(F, k3_square_1(k1_quin_1(1, k4_xcmplx_0(F), 1))), 2))  &  ~ (D=k7_xcmplx_0(k6_xcmplx_0(G, k3_square_1(k1_quin_1(1, k4_xcmplx_0(G), 1))), 2)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_polyeq_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (k1_newton(A, 3)=k3_xcmplx_0(k1_square_1(A), A) &  (k3_xcmplx_0(k1_newton(A, 3), A)=k1_newton(A, 4) & k3_xcmplx_0(k1_square_1(A), k1_square_1(A))=k1_newton(A, 4)) ) ) ) ).
fof(t5_polyeq_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (k2_xcmplx_0(A, B)=k5_numbers)  => k1_newton(k2_xcmplx_0(A, B), 4)=k2_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_newton(A, 3), k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, B), k1_square_1(A)), k3_xcmplx_0(k3_xcmplx_0(3, k1_square_1(B)), A))), k1_newton(B, 3)), A), k3_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_newton(A, 3), k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, B), k1_square_1(A)), k3_xcmplx_0(k3_xcmplx_0(3, k1_square_1(B)), A))), k1_newton(B, 3)), B))) ) ) ) ) ).
fof(t6_polyeq_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (k2_xcmplx_0(A, B)=k5_numbers)  => k1_newton(k2_xcmplx_0(A, B), 4)=k2_xcmplx_0(k2_xcmplx_0(k1_newton(A, 4), k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(4, B), k1_newton(A, 3)), k3_xcmplx_0(k3_xcmplx_0(6, k1_square_1(B)), k1_square_1(A))), k3_xcmplx_0(k3_xcmplx_0(4, k1_newton(B, 3)), A))), k1_newton(B, 4))) ) ) ) ) ).
fof(t7_polyeq_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  (! [J] :  (v1_xreal_0(J) =>  ( (! [K] :  (v1_xreal_0(K) => k1_polyeq_2(A, B, C, D, E, K)=k1_polyeq_2(F, G, H, I, J, K)) )  =>  (E=J &  (k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(A, B), C), D)=k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(F, G), H), I) & k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(A, B), C), D)=k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(F, G), H), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_polyeq_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  (! [J] :  (v1_xreal_0(J) =>  ( (! [K] :  (v1_xreal_0(K) => k1_polyeq_2(A, B, C, D, E, K)=k1_polyeq_2(F, G, H, I, J, K)) )  =>  (k6_xcmplx_0(A, F)=k6_xcmplx_0(H, C) & k6_xcmplx_0(B, G)=k6_xcmplx_0(I, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_polyeq_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  (! [J] :  (v1_xreal_0(J) =>  ( (! [K] :  (v1_xreal_0(K) => k1_polyeq_2(A, B, C, D, E, K)=k1_polyeq_2(F, G, H, I, J, K)) )  =>  (A=F &  (B=G &  (C=H &  (D=I & E=J) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_polyeq_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) => k2_polyeq_2(A, B, C, D, E, F)=k3_xcmplx_0(A, k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(F, B), k6_xcmplx_0(F, C)), k6_xcmplx_0(F, D)), k6_xcmplx_0(F, E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_polyeq_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  (! [J] :  (v1_xreal_0(J) =>  ( (! [K] :  (v1_xreal_0(K) => k1_polyeq_2(A, B, C, D, E, K)=k2_polyeq_2(A, G, H, I, J, K)) )  =>  (A=k5_numbers | k7_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A, k1_newton(F, 4)), k3_xcmplx_0(B, k1_newton(F, 3))), k3_xcmplx_0(C, k1_square_1(F))), k3_xcmplx_0(D, F)), E), A)=k6_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_square_1(F), k1_square_1(F)), k3_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(G, H), I), k3_xcmplx_0(k1_square_1(F), F))), k3_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(G, I), k3_xcmplx_0(H, I)), k3_xcmplx_0(G, H)), k1_square_1(F))), k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(G, H), I), F)), k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(F, G), k6_xcmplx_0(F, H)), k6_xcmplx_0(F, I)), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_polyeq_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  (! [J] :  (v1_xreal_0(J) =>  ( (! [K] :  (v1_xreal_0(K) => k1_polyeq_2(A, B, C, D, E, K)=k2_polyeq_2(A, G, H, I, J, K)) )  =>  (A=k5_numbers | k7_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A, k1_newton(F, 4)), k3_xcmplx_0(B, k1_newton(F, 3))), k3_xcmplx_0(C, k1_square_1(F))), k3_xcmplx_0(D, F)), E), A)=k2_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k1_newton(F, 4), k3_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(G, H), I), J), k1_newton(F, 3))), k3_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(G, H), k3_xcmplx_0(G, I)), k3_xcmplx_0(G, J)), k2_xcmplx_0(k3_xcmplx_0(H, I), k3_xcmplx_0(H, J))), k3_xcmplx_0(I, J)), k1_square_1(F))), k3_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(G, H), I), k3_xcmplx_0(k3_xcmplx_0(G, H), J)), k3_xcmplx_0(k3_xcmplx_0(G, I), J)), k3_xcmplx_0(k3_xcmplx_0(H, I), J)), F)), k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(G, H), I), J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_polyeq_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  ( (! [J] :  (v1_xreal_0(J) => k1_polyeq_2(A, B, C, D, E, J)=k2_polyeq_2(A, F, G, H, I, J)) )  =>  (A=k5_numbers |  (k7_xcmplx_0(B, A)=k4_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(F, G), H), I)) &  (k7_xcmplx_0(C, A)=k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(F, G), k3_xcmplx_0(F, H)), k3_xcmplx_0(F, I)), k2_xcmplx_0(k3_xcmplx_0(G, H), k3_xcmplx_0(G, I))), k3_xcmplx_0(H, I)) &  (k7_xcmplx_0(D, A)=k4_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(F, G), H), k3_xcmplx_0(k3_xcmplx_0(F, G), I)), k3_xcmplx_0(k3_xcmplx_0(F, H), I)), k3_xcmplx_0(k3_xcmplx_0(G, H), I))) & k7_xcmplx_0(E, A)=k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(F, G), H), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_polyeq_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (! [D] :  (v1_xreal_0(D) => k2_xcmplx_0(k1_newton(D, 4), k1_newton(A, 4))=k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(B, A), D), k2_xcmplx_0(k1_square_1(D), k1_square_1(A)))) )  =>  (A=k5_numbers | k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k1_newton(C, 4), k3_xcmplx_0(B, k1_newton(C, 3))), k3_xcmplx_0(B, C)), 1)=k5_numbers) ) ) ) ) ) ) ) ).
fof(d1_polyeq_3, axiom,  (! [A] :  (m1_subset_1(A, k2_numbers) => k1_polyeq_3(A)=k2_xcmplx_0(k6_xcmplx_0(k1_square_1(k3_complex1(A)), k1_square_1(k4_complex1(A))), k3_xcmplx_0(k3_xcmplx_0(2, k4_real_1(k3_complex1(A), k4_complex1(A))), k7_complex1))) ) ).
fof(t1_polyeq_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  ~ ( ( ~ (A=k5_numbers)  &  (r1_xxreal_0(k5_numbers, k1_quin_1(A, B, C)) &  (k2_polyeq_3(A, B, C, D)=k5_numbers &  ( ~ (D=k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(B), k3_square_1(k1_quin_1(A, B, C))), k3_xcmplx_0(2, A)))  &  ( ~ (D=k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(B), k3_square_1(k1_quin_1(A, B, C))), k3_xcmplx_0(2, A)))  &  ~ (D=k4_xcmplx_0(k7_xcmplx_0(B, k3_xcmplx_0(2, A)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_polyeq_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  ~ ( ( ~ (A=k5_numbers)  &  ( ~ (r1_xxreal_0(k5_numbers, k1_quin_1(A, B, C)))  &  (k2_polyeq_3(A, B, C, D)=k5_numbers &  ( ~ (D=k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(B, k3_xcmplx_0(2, A))), k3_xcmplx_0(k7_xcmplx_0(k3_square_1(k4_xcmplx_0(k1_quin_1(A, B, C))), k3_xcmplx_0(2, A)), k7_complex1)))  &  ~ (D=k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(B, k3_xcmplx_0(2, A))), k3_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k3_square_1(k4_xcmplx_0(k1_quin_1(A, B, C))), k3_xcmplx_0(2, A))), k7_complex1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_polyeq_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  ( (! [D] :  (v1_xcmplx_0(D) => k2_polyeq_3(k5_numbers, A, B, D)=k5_numbers) )  =>  (A=k5_numbers | C=k4_xcmplx_0(k7_xcmplx_0(B, A))) ) ) ) ) ) ) ) ).
fof(t4_polyeq_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  (v1_xcmplx_0(E) =>  (! [F] :  (v1_xcmplx_0(F) =>  ( (! [G] :  (v1_xcmplx_0(G) => k2_polyeq_3(A, B, C, G)=k3_polyeq_1(A, G, E, F)) )  =>  (A=k5_numbers |  (k7_xcmplx_0(B, A)=k4_xcmplx_0(k2_xcmplx_0(E, F)) & k7_xcmplx_0(C, A)=k3_xcmplx_0(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_polyeq_3, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_polyeq_3(A)=k3_xcmplx_0(k1_square_1(A), A)) ) ).
fof(d4_polyeq_3, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  (v1_xcmplx_0(E) => k4_polyeq_1(A, B, C, D, E)=k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A, k3_polyeq_3(E)), k3_xcmplx_0(B, k1_square_1(E))), k3_xcmplx_0(C, E)), D)) ) ) ) ) ) ) ) ) ) ).
fof(t5_polyeq_3, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (k3_complex1(k3_polyeq_3(A))=k6_xcmplx_0(k1_newton(k3_complex1(A), 3), k3_xcmplx_0(k3_xcmplx_0(3, k3_complex1(A)), k1_square_1(k4_complex1(A)))) & k4_complex1(k3_polyeq_3(A))=k2_xcmplx_0(k4_xcmplx_0(k1_newton(k4_complex1(A), 3)), k3_xcmplx_0(k3_xcmplx_0(3, k1_square_1(k3_complex1(A))), k4_complex1(A)))) ) ) ).
fof(t6_polyeq_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ( (! [I] :  (v1_xcmplx_0(I) => k4_polyeq_1(A, B, C, D, I)=k4_polyeq_1(E, F, G, H, I)) )  =>  (A=E &  (B=F &  (C=G & D=H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_polyeq_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  ~ ( ( ~ (A=k5_numbers)  &  (r1_xxreal_0(k5_numbers, k1_quin_1(A, B, C)) &  (k4_polyeq_1(k5_numbers, A, B, C, D)=k5_numbers &  ( ~ (D=k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(B), k3_square_1(k1_quin_1(A, B, C))), k3_xcmplx_0(2, A)))  &  ( ~ (D=k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(B), k3_square_1(k1_quin_1(A, B, C))), k3_xcmplx_0(2, A)))  &  ~ (D=k4_xcmplx_0(k7_xcmplx_0(B, k3_xcmplx_0(2, A)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_polyeq_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  ~ ( ( ~ (A=k5_numbers)  &  ( ~ (r1_xxreal_0(k5_numbers, k1_quin_1(A, B, C)))  &  (k4_polyeq_1(k5_numbers, A, B, C, D)=k5_numbers &  ( ~ (D=k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(B, k3_xcmplx_0(2, A))), k3_xcmplx_0(k7_xcmplx_0(k3_square_1(k4_xcmplx_0(k1_quin_1(A, B, C))), k3_xcmplx_0(2, A)), k7_complex1)))  &  ~ (D=k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(B, k3_xcmplx_0(2, A))), k3_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k3_square_1(k4_xcmplx_0(k1_quin_1(A, B, C))), k3_xcmplx_0(2, A))), k7_complex1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_polyeq_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  ~ ( ( ~ (A=k5_numbers)  &  (r1_xxreal_0(k3_xcmplx_0(k3_xcmplx_0(4, A), B), k5_numbers) &  (k4_polyeq_1(A, k5_numbers, B, k5_numbers, C)=k5_numbers &  ( ~ (C=k7_xcmplx_0(k3_square_1(k4_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(4, A), B))), k3_xcmplx_0(2, A)))  &  ( ~ (C=k7_xcmplx_0(k4_xcmplx_0(k3_square_1(k4_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(4, A), B)))), k3_xcmplx_0(2, A)))  &  ~ (C=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_polyeq_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  ~ ( ( ~ (A=k5_numbers)  &  (r1_xxreal_0(k5_numbers, k1_quin_1(A, B, C)) &  (k4_polyeq_1(A, B, C, k5_numbers, D)=k5_numbers &  ( ~ (D=k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(B), k3_square_1(k1_quin_1(A, B, C))), k3_xcmplx_0(2, A)))  &  ( ~ (D=k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(B), k3_square_1(k1_quin_1(A, B, C))), k3_xcmplx_0(2, A)))  &  ( ~ (D=k4_xcmplx_0(k7_xcmplx_0(B, k3_xcmplx_0(2, A))))  &  ~ (D=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_polyeq_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  ~ ( ( ~ (A=k5_numbers)  &  ( ~ (r1_xxreal_0(k5_numbers, k1_quin_1(A, B, C)))  &  (k4_polyeq_1(A, B, C, k5_numbers, D)=k5_numbers &  ( ~ (D=k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(B, k3_xcmplx_0(2, A))), k3_xcmplx_0(k7_xcmplx_0(k3_square_1(k4_xcmplx_0(k1_quin_1(A, B, C))), k3_xcmplx_0(2, A)), k7_complex1)))  &  ( ~ (D=k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(B, k3_xcmplx_0(2, A))), k3_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k3_square_1(k4_xcmplx_0(k1_quin_1(A, B, C))), k3_xcmplx_0(2, A))), k7_complex1)))  &  ~ (D=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_polyeq_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (k1_square_1(B)=A &  ( ~ (B=k3_square_1(A))  &  ~ (B=k4_xcmplx_0(k3_square_1(A))) ) ) ) ) ) ) ) ).
fof(t13_polyeq_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  ( (k4_complex1(D)=k5_numbers & k4_polyeq_1(A, k5_numbers, B, C, D)=k5_numbers)  =>  (A=k5_numbers |  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( (k3_complex1(D)=k2_xcmplx_0(E, F) &  (k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, F), E), k7_xcmplx_0(B, A))=k5_numbers &  ( ~ (D=k2_xcmplx_0(k1_power(3, k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(C, k3_xcmplx_0(2, A))), k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(C), k3_xcmplx_0(4, k1_square_1(A))), k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(3, A)), 3))))), k1_power(3, k6_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(C, k3_xcmplx_0(2, A))), k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(C), k3_xcmplx_0(4, k1_square_1(A))), k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(3, A)), 3)))))))  &  ( ~ (D=k2_xcmplx_0(k1_power(3, k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(C, k3_xcmplx_0(2, A))), k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(C), k3_xcmplx_0(4, k1_square_1(A))), k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(3, A)), 3))))), k1_power(3, k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(C, k3_xcmplx_0(2, A))), k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(C), k3_xcmplx_0(4, k1_square_1(A))), k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(3, A)), 3)))))))  &  ~ (D=k2_xcmplx_0(k1_power(3, k6_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(C, k3_xcmplx_0(2, A))), k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(C), k3_xcmplx_0(4, k1_square_1(A))), k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(3, A)), 3))))), k1_power(3, k6_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(C, k3_xcmplx_0(2, A))), k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(C), k3_xcmplx_0(4, k1_square_1(A))), k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(3, A)), 3))))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_polyeq_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  (k4_polyeq_1(A, k5_numbers, B, C, D)=k5_numbers =>  (A=k5_numbers |  (k4_complex1(D)=k5_numbers |  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( (k3_complex1(D)=k2_xcmplx_0(E, F) &  (k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, F), E), k7_xcmplx_0(B, k3_xcmplx_0(4, A)))=k5_numbers &  ( ~ (D=k2_xcmplx_0(k2_xcmplx_0(k1_power(3, k2_xcmplx_0(k7_xcmplx_0(C, k3_xcmplx_0(16, A)), k3_square_1(k2_xcmplx_0(k1_square_1(k7_xcmplx_0(C, k3_xcmplx_0(16, A))), k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(12, A)), 3))))), k1_power(3, k6_xcmplx_0(k7_xcmplx_0(C, k3_xcmplx_0(16, A)), k3_square_1(k2_xcmplx_0(k1_square_1(k7_xcmplx_0(C, k3_xcmplx_0(16, A))), k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(12, A)), 3)))))), k3_xcmplx_0(k3_square_1(k2_xcmplx_0(k3_xcmplx_0(3, k1_square_1(k2_xcmplx_0(k1_power(3, k2_xcmplx_0(k7_xcmplx_0(C, k3_xcmplx_0(16, A)), k3_square_1(k2_xcmplx_0(k1_square_1(k7_xcmplx_0(C, k3_xcmplx_0(16, A))), k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(12, A)), 3))))), k1_power(3, k6_xcmplx_0(k7_xcmplx_0(C, k3_xcmplx_0(16, A)), k3_square_1(k2_xcmplx_0(k1_square_1(k7_xcmplx_0(C, k3_xcmplx_0(16, A))), k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(12, A)), 3)))))))), k7_xcmplx_0(B, A))), k7_complex1)))  &  ( ~ (D=k6_xcmplx_0(k2_xcmplx_0(k1_power(3, k2_xcmplx_0(k7_xcmplx_0(C, k3_xcmplx_0(16, A)), k3_square_1(k2_xcmplx_0(k1_square_1(k7_xcmplx_0(C, k3_xcmplx_0(16, A))), k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(12, A)), 3))))), k1_power(3, k6_xcmplx_0(k7_xcmplx_0(C, k3_xcmplx_0(16, A)), k3_square_1(k2_xcmplx_0(k1_square_1(k7_xcmplx_0(C, k3_xcmplx_0(16, A))), k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(12, A)), 3)))))), k3_xcmplx_0(k3_square_1(k2_xcmplx_0(k3_xcmplx_0(3, k1_square_1(k2_xcmplx_0(k1_power(3, k2_xcmplx_0(k7_xcmplx_0(C, k3_xcmplx_0(16, A)), k3_square_1(k2_xcmplx_0(k1_square_1(k7_xcmplx_0(C, k3_xcmplx_0(16, A))), k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(12, A)), 3))))), k1_power(3, k6_xcmplx_0(k7_xcmplx_0(C, k3_xcmplx_0(16, A)), k3_square_1(k2_xcmplx_0(k1_square_1(k7_xcmplx_0(C, k3_xcmplx_0(16, A))), k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(12, A)), 3)))))))), k7_xcmplx_0(B, A))), k7_complex1)))  &  ( ~ (D=k2_xcmplx_0(k3_xcmplx_0(2, k1_power(3, k2_xcmplx_0(k7_xcmplx_0(C, k3_xcmplx_0(16, A)), k3_square_1(k2_xcmplx_0(k1_square_1(k7_xcmplx_0(C, k3_xcmplx_0(16, A))), k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(12, A)), 3)))))), k3_xcmplx_0(k3_square_1(k2_xcmplx_0(k3_xcmplx_0(3, k1_square_1(k3_xcmplx_0(2, k1_power(3, k2_xcmplx_0(k7_xcmplx_0(C, k3_xcmplx_0(16, A)), k3_square_1(k2_xcmplx_0(k1_square_1(k7_xcmplx_0(C, k3_xcmplx_0(16, A))), k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(12, A)), 3)))))))), k7_xcmplx_0(B, A))), k7_complex1)))  &  ( ~ (D=k6_xcmplx_0(k3_xcmplx_0(2, k1_power(3, k2_xcmplx_0(k7_xcmplx_0(C, k3_xcmplx_0(16, A)), k3_square_1(k2_xcmplx_0(k1_square_1(k7_xcmplx_0(C, k3_xcmplx_0(16, A))), k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(12, A)), 3)))))), k3_xcmplx_0(k3_square_1(k2_xcmplx_0(k3_xcmplx_0(3, k1_square_1(k3_xcmplx_0(2, k1_power(3, k2_xcmplx_0(k7_xcmplx_0(C, k3_xcmplx_0(16, A)), k3_square_1(k2_xcmplx_0(k1_square_1(k7_xcmplx_0(C, k3_xcmplx_0(16, A))), k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(12, A)), 3)))))))), k7_xcmplx_0(B, A))), k7_complex1)))  &  ( ~ (D=k2_xcmplx_0(k3_xcmplx_0(2, k1_power(3, k6_xcmplx_0(k7_xcmplx_0(C, k3_xcmplx_0(16, A)), k3_square_1(k2_xcmplx_0(k1_square_1(k7_xcmplx_0(C, k3_xcmplx_0(16, A))), k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(12, A)), 3)))))), k3_xcmplx_0(k3_square_1(k2_xcmplx_0(k3_xcmplx_0(3, k1_square_1(k3_xcmplx_0(2, k1_power(3, k6_xcmplx_0(k7_xcmplx_0(C, k3_xcmplx_0(16, A)), k3_square_1(k2_xcmplx_0(k1_square_1(k7_xcmplx_0(C, k3_xcmplx_0(16, A))), k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(12, A)), 3)))))))), k7_xcmplx_0(B, A))), k7_complex1)))  &  ~ (D=k6_xcmplx_0(k3_xcmplx_0(2, k1_power(3, k6_xcmplx_0(k7_xcmplx_0(C, k3_xcmplx_0(16, A)), k3_square_1(k2_xcmplx_0(k1_square_1(k7_xcmplx_0(C, k3_xcmplx_0(16, A))), k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(12, A)), 3)))))), k3_xcmplx_0(k3_square_1(k2_xcmplx_0(k3_xcmplx_0(3, k1_square_1(k3_xcmplx_0(2, k1_power(3, k6_xcmplx_0(k7_xcmplx_0(C, k3_xcmplx_0(16, A)), k3_square_1(k2_xcmplx_0(k1_square_1(k7_xcmplx_0(C, k3_xcmplx_0(16, A))), k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(12, A)), 3)))))))), k7_xcmplx_0(B, A))), k7_complex1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_polyeq_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xcmplx_0(E) =>  ( (k4_polyeq_1(A, B, C, D, E)=k5_numbers & k4_complex1(E)=k5_numbers)  =>  (A=k5_numbers |  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  ~ ( (H=k2_xcmplx_0(k3_complex1(E), k7_xcmplx_0(B, k3_xcmplx_0(3, A))) &  (k3_complex1(E)=k6_xcmplx_0(k2_xcmplx_0(F, G), k7_xcmplx_0(B, k3_xcmplx_0(3, A))) &  (k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, F), G), k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, A), C), k1_square_1(B)), k3_xcmplx_0(3, k1_square_1(A))))=k5_numbers &  ( ~ (E=k2_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k1_power(3, k2_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(3, A)), 3)), k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, A), D), k3_xcmplx_0(B, C)), k3_xcmplx_0(6, k1_square_1(A)))), k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(k2_xcmplx_0(k3_xcmplx_0(2, k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(3, A)), 3)), k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, A), D), k3_xcmplx_0(B, C)), k3_xcmplx_0(3, k1_square_1(A))))), 4), k1_newton(k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, A), C), k1_square_1(B)), k3_xcmplx_0(9, k1_square_1(A))), 3))))), k1_power(3, k6_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(3, A)), 3)), k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, A), D), k3_xcmplx_0(B, C)), k3_xcmplx_0(6, k1_square_1(A)))), k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(k2_xcmplx_0(k3_xcmplx_0(2, k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(3, A)), 3)), k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, A), D), k3_xcmplx_0(B, C)), k3_xcmplx_0(3, k1_square_1(A))))), 4), k1_newton(k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, A), C), k1_square_1(B)), k3_xcmplx_0(9, k1_square_1(A))), 3)))))), k7_xcmplx_0(B, k3_xcmplx_0(3, A))), k3_xcmplx_0(k5_numbers, k7_complex1)))  &  ( ~ (E=k2_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k1_power(3, k2_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(3, A)), 3)), k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, A), D), k3_xcmplx_0(B, C)), k3_xcmplx_0(6, k1_square_1(A)))), k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(k2_xcmplx_0(k3_xcmplx_0(2, k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(3, A)), 3)), k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, A), D), k3_xcmplx_0(B, C)), k3_xcmplx_0(3, k1_square_1(A))))), 4), k1_newton(k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, A), C), k1_square_1(B)), k3_xcmplx_0(9, k1_square_1(A))), 3))))), k1_power(3, k2_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(3, A)), 3)), k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, A), D), k3_xcmplx_0(B, C)), k3_xcmplx_0(6, k1_square_1(A)))), k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(k2_xcmplx_0(k3_xcmplx_0(2, k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(3, A)), 3)), k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, A), D), k3_xcmplx_0(B, C)), k3_xcmplx_0(3, k1_square_1(A))))), 4), k1_newton(k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, A), C), k1_square_1(B)), k3_xcmplx_0(9, k1_square_1(A))), 3)))))), k7_xcmplx_0(B, k3_xcmplx_0(3, A))), k3_xcmplx_0(k5_numbers, k7_complex1)))  &  ~ (E=k2_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k1_power(3, k6_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(3, A)), 3)), k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, A), D), k3_xcmplx_0(B, C)), k3_xcmplx_0(6, k1_square_1(A)))), k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(k2_xcmplx_0(k3_xcmplx_0(2, k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(3, A)), 3)), k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, A), D), k3_xcmplx_0(B, C)), k3_xcmplx_0(3, k1_square_1(A))))), 4), k1_newton(k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, A), C), k1_square_1(B)), k3_xcmplx_0(9, k1_square_1(A))), 3))))), k1_power(3, k6_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(3, A)), 3)), k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, A), D), k3_xcmplx_0(B, C)), k3_xcmplx_0(6, k1_square_1(A)))), k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(k2_xcmplx_0(k3_xcmplx_0(2, k1_newton(k7_xcmplx_0(B, k3_xcmplx_0(3, A)), 3)), k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, A), D), k3_xcmplx_0(B, C)), k3_xcmplx_0(3, k1_square_1(A))))), 4), k1_newton(k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3, A), C), k1_square_1(B)), k3_xcmplx_0(9, k1_square_1(A))), 3)))))), k7_xcmplx_0(B, k3_xcmplx_0(3, A))), k3_xcmplx_0(k5_numbers, k7_complex1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_polyeq_3, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (k1_polyeq_1(B, C, A)=k5_numbers =>  (B=k5_numbers | A=k4_xcmplx_0(k7_xcmplx_0(C, B))) ) ) ) ) ) ) ) ).
fof(t17_polyeq_3, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  (v1_xcmplx_0(E) =>  (! [F] :  (v1_xcmplx_0(F) =>  ( (! [G] :  (v1_xcmplx_0(G) => k2_polyeq_1(A, B, C, G)=k2_polyeq_1(D, E, F, G)) )  =>  (A=D &  (B=E & C=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_polyeq_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(k5_numbers, k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(A), k3_square_1(k2_xcmplx_0(k1_square_1(A), k1_square_1(B)))), 2)) & r1_xxreal_0(k5_numbers, k7_xcmplx_0(k2_xcmplx_0(A, k3_square_1(k2_xcmplx_0(k1_square_1(A), k1_square_1(B)))), 2))) ) ) ) ) ).
fof(t19_polyeq_3, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  ~ ( (k1_square_1(B)=A &  (r1_xxreal_0(k5_numbers, k4_complex1(A)) &  ( ~ (B=k2_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k3_complex1(A), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(A)), k1_square_1(k4_complex1(A))))), 2)), k3_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k1_real_1(k3_complex1(A)), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(A)), k1_square_1(k4_complex1(A))))), 2)), k7_complex1)))  &  ~ (B=k2_xcmplx_0(k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k3_complex1(A), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(A)), k1_square_1(k4_complex1(A))))), 2))), k3_xcmplx_0(k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k1_real_1(k3_complex1(A)), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(A)), k1_square_1(k4_complex1(A))))), 2))), k7_complex1))) ) ) ) ) ) ) ) ) ).
fof(t20_polyeq_3, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  ~ ( (k1_square_1(B)=A &  (k4_complex1(A)=k5_numbers &  ( ~ (r1_xxreal_0(k3_complex1(A), k5_numbers))  &  ( ~ (B=k3_square_1(k3_complex1(A)))  &  ~ (B=k4_xcmplx_0(k3_square_1(k3_complex1(A)))) ) ) ) ) ) ) ) ) ) ).
fof(t21_polyeq_3, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  ~ ( (k1_square_1(B)=A &  (k4_complex1(A)=k5_numbers &  ( ~ (r1_xxreal_0(k5_numbers, k3_complex1(A)))  &  ( ~ (B=k3_xcmplx_0(k3_square_1(k1_real_1(k3_complex1(A))), k7_complex1))  &  ~ (B=k4_xcmplx_0(k3_xcmplx_0(k3_square_1(k1_real_1(k3_complex1(A))), k7_complex1))) ) ) ) ) ) ) ) ) ) ).
fof(t22_polyeq_3, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  ~ ( (k1_square_1(B)=A &  ( ~ (r1_xxreal_0(k5_numbers, k4_complex1(A)))  &  ( ~ (B=k2_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k3_complex1(A), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(A)), k1_square_1(k4_complex1(A))))), 2)), k3_xcmplx_0(k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k1_real_1(k3_complex1(A)), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(A)), k1_square_1(k4_complex1(A))))), 2))), k7_complex1)))  &  ~ (B=k2_xcmplx_0(k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k3_complex1(A), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(A)), k1_square_1(k4_complex1(A))))), 2))), k3_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k1_real_1(k3_complex1(A)), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(A)), k1_square_1(k4_complex1(A))))), 2)), k7_complex1))) ) ) ) ) ) ) ) ) ).
fof(t23_polyeq_3, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  ~ ( (k1_square_1(B)=A &  ( ~ (B=k2_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k3_complex1(A), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(A)), k1_square_1(k4_complex1(A))))), 2)), k3_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k1_real_1(k3_complex1(A)), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(A)), k1_square_1(k4_complex1(A))))), 2)), k7_complex1)))  &  ( ~ (B=k2_xcmplx_0(k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k3_complex1(A), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(A)), k1_square_1(k4_complex1(A))))), 2))), k3_xcmplx_0(k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k1_real_1(k3_complex1(A)), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(A)), k1_square_1(k4_complex1(A))))), 2))), k7_complex1)))  &  ( ~ (B=k2_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k3_complex1(A), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(A)), k1_square_1(k4_complex1(A))))), 2)), k3_xcmplx_0(k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k1_real_1(k3_complex1(A)), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(A)), k1_square_1(k4_complex1(A))))), 2))), k7_complex1)))  &  ~ (B=k2_xcmplx_0(k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k3_complex1(A), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(A)), k1_square_1(k4_complex1(A))))), 2))), k3_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k1_real_1(k3_complex1(A)), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(A)), k1_square_1(k4_complex1(A))))), 2)), k7_complex1))) ) ) ) ) ) ) ) ) ) ).
fof(t24_polyeq_3, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  ~ ( ( ~ (B=k5_numbers)  &  (k2_polyeq_1(B, C, k5_numbers, A)=k5_numbers &  ( ~ (A=k4_xcmplx_0(k7_xcmplx_0(C, B)))  &  ~ (A=k5_numbers) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_polyeq_3, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (k2_polyeq_1(B, k5_numbers, C, A)=k5_numbers =>  (B=k5_numbers |  (! [D] :  (v1_xcmplx_0(D) =>  ~ ( (D=k4_xcmplx_0(k7_xcmplx_0(C, B)) &  ( ~ (A=k2_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k3_complex1(D), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(D)), k1_square_1(k4_complex1(D))))), 2)), k3_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k1_real_1(k3_complex1(D)), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(D)), k1_square_1(k4_complex1(D))))), 2)), k7_complex1)))  &  ( ~ (A=k2_xcmplx_0(k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k3_complex1(D), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(D)), k1_square_1(k4_complex1(D))))), 2))), k3_xcmplx_0(k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k1_real_1(k3_complex1(D)), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(D)), k1_square_1(k4_complex1(D))))), 2))), k7_complex1)))  &  ( ~ (A=k2_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k3_complex1(D), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(D)), k1_square_1(k4_complex1(D))))), 2)), k3_xcmplx_0(k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k1_real_1(k3_complex1(D)), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(D)), k1_square_1(k4_complex1(D))))), 2))), k7_complex1)))  &  ~ (A=k2_xcmplx_0(k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k3_complex1(D), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(D)), k1_square_1(k4_complex1(D))))), 2))), k3_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k1_real_1(k3_complex1(D)), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(D)), k1_square_1(k4_complex1(D))))), 2)), k7_complex1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_polyeq_3, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  (k2_polyeq_1(B, C, D, A)=k5_numbers =>  (B=k5_numbers |  (! [E] :  (v1_xcmplx_0(E) =>  (! [F] :  (v1_xcmplx_0(F) =>  ~ ( (E=k6_xcmplx_0(k1_square_1(k7_xcmplx_0(C, k3_xcmplx_0(2, B))), k7_xcmplx_0(D, B)) &  (F=k7_xcmplx_0(C, k3_xcmplx_0(2, B)) &  ( ~ (A=k6_xcmplx_0(k2_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k3_complex1(E), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(E)), k1_square_1(k4_complex1(E))))), 2)), k3_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k1_real_1(k3_complex1(E)), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(E)), k1_square_1(k4_complex1(E))))), 2)), k7_complex1)), F))  &  ( ~ (A=k6_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k3_complex1(E), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(E)), k1_square_1(k4_complex1(E))))), 2))), k3_xcmplx_0(k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k1_real_1(k3_complex1(E)), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(E)), k1_square_1(k4_complex1(E))))), 2))), k7_complex1)), F))  &  ( ~ (A=k6_xcmplx_0(k2_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k3_complex1(E), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(E)), k1_square_1(k4_complex1(E))))), 2)), k3_xcmplx_0(k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k1_real_1(k3_complex1(E)), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(E)), k1_square_1(k4_complex1(E))))), 2))), k7_complex1)), F))  &  ~ (A=k6_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k3_complex1(E), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(E)), k1_square_1(k4_complex1(E))))), 2))), k3_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k1_real_1(k3_complex1(E)), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(E)), k1_square_1(k4_complex1(E))))), 2)), k7_complex1)), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_polyeq_3, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (k1_newton(A, 3)=k3_xcmplx_0(k3_xcmplx_0(A, A), A) &  (k1_newton(A, 3)=k3_xcmplx_0(k1_square_1(A), A) & k1_newton(A, 3)=k3_polyeq_3(A)) ) ) ) ).
fof(t28_polyeq_3, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  ~ ( ( ~ (B=k5_numbers)  &  (k4_polyeq_1(B, C, k5_numbers, k5_numbers, A)=k5_numbers &  ( ~ (A=k4_xcmplx_0(k7_xcmplx_0(C, B)))  &  ~ (A=k5_numbers) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_polyeq_3, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (k4_polyeq_1(B, k5_numbers, C, k5_numbers, A)=k5_numbers =>  (B=k5_numbers |  (! [D] :  (v1_xcmplx_0(D) =>  ~ ( (D=k4_xcmplx_0(k7_xcmplx_0(C, B)) &  ( ~ (A=k5_numbers)  &  ( ~ (A=k2_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k3_complex1(D), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(D)), k1_square_1(k4_complex1(D))))), 2)), k3_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k1_real_1(k3_complex1(D)), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(D)), k1_square_1(k4_complex1(D))))), 2)), k7_complex1)))  &  ( ~ (A=k2_xcmplx_0(k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k3_complex1(D), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(D)), k1_square_1(k4_complex1(D))))), 2))), k3_xcmplx_0(k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k1_real_1(k3_complex1(D)), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(D)), k1_square_1(k4_complex1(D))))), 2))), k7_complex1)))  &  ( ~ (A=k2_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k3_complex1(D), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(D)), k1_square_1(k4_complex1(D))))), 2)), k3_xcmplx_0(k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k1_real_1(k3_complex1(D)), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(D)), k1_square_1(k4_complex1(D))))), 2))), k7_complex1)))  &  ~ (A=k2_xcmplx_0(k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k3_complex1(D), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(D)), k1_square_1(k4_complex1(D))))), 2))), k3_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k1_real_1(k3_complex1(D)), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(D)), k1_square_1(k4_complex1(D))))), 2)), k7_complex1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_polyeq_3, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  (k4_polyeq_1(B, C, D, k5_numbers, A)=k5_numbers =>  (B=k5_numbers |  (! [E] :  (v1_xcmplx_0(E) =>  (! [F] :  (v1_xcmplx_0(F) =>  (! [G] :  (v1_xcmplx_0(G) =>  ~ ( (F=k6_xcmplx_0(k1_square_1(k7_xcmplx_0(C, k3_xcmplx_0(2, B))), k7_xcmplx_0(D, B)) &  (G=k7_xcmplx_0(C, k3_xcmplx_0(2, B)) &  ( ~ (A=k5_numbers)  &  ( ~ (A=k6_xcmplx_0(k2_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k3_complex1(F), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(F)), k1_square_1(k4_complex1(F))))), 2)), k3_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k1_real_1(k3_complex1(F)), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(F)), k1_square_1(k4_complex1(F))))), 2)), k7_complex1)), G))  &  ( ~ (A=k6_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k3_complex1(F), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(F)), k1_square_1(k4_complex1(F))))), 2))), k3_xcmplx_0(k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k1_real_1(k3_complex1(F)), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(F)), k1_square_1(k4_complex1(F))))), 2))), k7_complex1)), G))  &  ( ~ (A=k6_xcmplx_0(k2_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k3_complex1(F), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(F)), k1_square_1(k4_complex1(F))))), 2)), k3_xcmplx_0(k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k1_real_1(k3_complex1(F)), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(F)), k1_square_1(k4_complex1(F))))), 2))), k7_complex1)), G))  &  ~ (A=k6_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k3_complex1(F), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(F)), k1_square_1(k4_complex1(F))))), 2))), k3_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k1_real_1(k3_complex1(F)), k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(F)), k1_square_1(k4_complex1(F))))), 2)), k7_complex1)), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_polyeq_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) => k1_newton(k2_xcmplx_0(k19_sin_cos(A), k3_xcmplx_0(k17_sin_cos(A), k7_complex1)), B)=k2_xcmplx_0(k19_sin_cos(k3_xcmplx_0(B, A)), k3_xcmplx_0(k17_sin_cos(k3_xcmplx_0(B, A)), k7_complex1))) ) ) ) ).
fof(t32_polyeq_3, axiom,  (! [A] :  (m1_subset_1(A, k2_numbers) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k1_newton(A, B)=k2_xcmplx_0(k3_xcmplx_0(k2_power(k9_complex1(A), B), k19_sin_cos(k3_xcmplx_0(B, k1_comptrig(A)))), k3_xcmplx_0(k3_xcmplx_0(k2_power(k9_complex1(A), B), k17_sin_cos(k3_xcmplx_0(B, k1_comptrig(A)))), k7_complex1))) ) ) ) ).
fof(t33_polyeq_3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (A=k5_numbers)  => k1_newton(k2_xcmplx_0(k19_sin_cos(k7_xcmplx_0(k2_xcmplx_0(C, k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B)), A)), k3_xcmplx_0(k17_sin_cos(k7_xcmplx_0(k2_xcmplx_0(C, k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B)), A)), k7_complex1)), A)=k2_xcmplx_0(k19_sin_cos(C), k3_xcmplx_0(k17_sin_cos(C), k7_complex1))) ) ) ) ) ) ) ).
fof(t34_polyeq_3, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( ~ (B=k5_numbers)  => A=k1_newton(k2_xcmplx_0(k3_xcmplx_0(k1_power(B, k9_complex1(A)), k19_sin_cos(k7_xcmplx_0(k2_xcmplx_0(k1_comptrig(A), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), C)), B))), k3_xcmplx_0(k3_xcmplx_0(k1_power(B, k9_complex1(A)), k17_sin_cos(k7_xcmplx_0(k2_xcmplx_0(k1_comptrig(A), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), C)), B))), k7_complex1)), B)) ) ) ) ) ) ) ).
fof(t35_polyeq_3, axiom,  (! [A] :  (m1_subset_1(A, k2_numbers) =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & m1_subset_1(B, k4_ordinal1))  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => m1_comptrig(k2_xcmplx_0(k3_xcmplx_0(k1_power(B, k9_complex1(A)), k19_sin_cos(k7_xcmplx_0(k2_xcmplx_0(k1_comptrig(A), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), C)), B))), k3_xcmplx_0(k3_xcmplx_0(k1_power(B, k9_complex1(A)), k17_sin_cos(k7_xcmplx_0(k2_xcmplx_0(k1_comptrig(A), k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), C)), B))), k7_complex1)), A, B)) ) ) ) ) ) ).
fof(t36_polyeq_3, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (m1_comptrig(B, A, 1) => B=A) ) ) ) ).
fof(t37_polyeq_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (m1_comptrig(B, k5_numbers, A) => B=k5_numbers) ) ) ) ).
fof(t38_polyeq_3, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (m1_comptrig(C, B, A) =>  (C=k5_numbers => B=k5_numbers) ) ) ) ) ) ) ).
fof(t39_polyeq_3, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => m1_comptrig(k2_xcmplx_0(k19_sin_cos(k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B), A)), k3_xcmplx_0(k17_sin_cos(k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, k28_sin_cos), B), A)), k7_complex1)), 1, A)) ) ) ) ).
fof(t40_polyeq_3, axiom,  (! [A] :  (m1_subset_1(A, k2_numbers) =>  (! [B] :  (m1_subset_1(B, k2_numbers) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (r1_xxreal_0(1, C) & k1_newton(B, C)=k1_newton(A, C))  =>  (B=k5_numbers |  (A=k5_numbers | k9_complex1(B)=k9_complex1(A)) ) ) ) ) ) ) ) ) ).
fof(dt_k1_polyeq_3, axiom,  (! [A] :  (m1_subset_1(A, k2_numbers) => m1_subset_1(k1_polyeq_3(A), k2_numbers)) ) ).
fof(redefinition_k1_polyeq_3, axiom,  (! [A] :  (m1_subset_1(A, k2_numbers) => k1_polyeq_3(A)=k1_square_1(A)) ) ).
fof(dt_k2_polyeq_3, axiom,  (! [A, B, C, D] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v1_xreal_0(C) & v1_xcmplx_0(D)) ) )  => m1_subset_1(k2_polyeq_3(A, B, C, D), k2_numbers)) ) ).
fof(redefinition_k2_polyeq_3, axiom,  (! [A, B, C, D] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v1_xreal_0(C) & v1_xcmplx_0(D)) ) )  => k2_polyeq_3(A, B, C, D)=k2_polyeq_1(A, B, C, D)) ) ).
fof(dt_k3_polyeq_3, axiom,  (! [A] :  (v1_xcmplx_0(A) => m1_subset_1(k3_polyeq_3(A), k2_numbers)) ) ).
fof(fc1_polyeq_4, axiom,  (! [A, B, C, D, E, F, G] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) &  (v1_xcmplx_0(C) &  (v1_xcmplx_0(D) &  (v1_xcmplx_0(E) &  (v1_xcmplx_0(F) & v1_xcmplx_0(G)) ) ) ) ) )  => v1_xcmplx_0(k1_polyeq_4(A, B, C, D, E, F, G))) ) ).
fof(fc2_polyeq_4, axiom,  (! [A, B, C, D, E, F, G] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v1_xreal_0(C) &  (v1_xreal_0(D) &  (v1_xreal_0(E) &  (v1_xreal_0(F) & v1_xreal_0(G)) ) ) ) ) )  => v1_xreal_0(k1_polyeq_4(A, B, C, D, E, F, G))) ) ).
fof(t1_polyeq_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (r1_xxreal_0(k5_numbers, k1_quin_1(A, B, C)) =>  (r1_xxreal_0(k5_numbers, k7_xcmplx_0(B, A)) |  (r1_xxreal_0(k7_xcmplx_0(C, A), k5_numbers) |  ( ~ (r1_xxreal_0(k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(B), k3_square_1(k1_quin_1(A, B, C))), k3_xcmplx_0(2, A)), k5_numbers))  &  ~ (r1_xxreal_0(k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(B), k3_square_1(k1_quin_1(A, B, C))), k3_xcmplx_0(2, A)), k5_numbers)) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_polyeq_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (r1_xxreal_0(k5_numbers, k1_quin_1(A, B, C)) =>  (r1_xxreal_0(k7_xcmplx_0(B, A), k5_numbers) |  (r1_xxreal_0(k7_xcmplx_0(C, A), k5_numbers) |  ( ~ (r1_xxreal_0(k5_numbers, k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(B), k3_square_1(k1_quin_1(A, B, C))), k3_xcmplx_0(2, A))))  &  ~ (r1_xxreal_0(k5_numbers, k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(B), k3_square_1(k1_quin_1(A, B, C))), k3_xcmplx_0(2, A)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_polyeq_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(k5_numbers, k7_xcmplx_0(C, A)))  &  ( ~ ( ( ~ (r1_xxreal_0(k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(B), k3_square_1(k1_quin_1(A, B, C))), k3_xcmplx_0(2, A)), k5_numbers))  &  ~ (r1_xxreal_0(k5_numbers, k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(B), k3_square_1(k1_quin_1(A, B, C))), k3_xcmplx_0(2, A)))) ) )  &  ~ ( ( ~ (r1_xxreal_0(k5_numbers, k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(B), k3_square_1(k1_quin_1(A, B, C))), k3_xcmplx_0(2, A))))  &  ~ (r1_xxreal_0(k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(B), k3_square_1(k1_quin_1(A, B, C))), k3_xcmplx_0(2, A)), k5_numbers)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_polyeq_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  (v1_abian(C) &  (r1_xxreal_0(1, C) &  (k1_newton(A, C)=B &  ( ~ (A=k1_power(C, B))  &  ~ (A=k4_xcmplx_0(k1_power(C, B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_polyeq_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (B=k5_numbers)  &  (k2_polyeq_1(B, C, k5_numbers, A)=k5_numbers &  ( ~ (A=k5_numbers)  &  ~ (A=k4_xcmplx_0(k7_xcmplx_0(C, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_polyeq_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (k2_polyeq_1(B, k5_numbers, k5_numbers, A)=k5_numbers =>  (B=k5_numbers | A=k5_numbers) ) ) ) ) ) ).
fof(t7_polyeq_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ~ ( ( ~ (B=k5_numbers)  &  ( ~ (v1_abian(E))  &  (r1_xxreal_0(k5_numbers, k1_quin_1(B, C, D)) &  (k2_polyeq_1(B, C, D, k1_newton(A, E))=k5_numbers &  ( ~ (A=k1_power(E, k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(C), k3_square_1(k1_quin_1(B, C, D))), k3_xcmplx_0(2, B))))  &  ~ (A=k1_power(E, k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(C), k3_square_1(k1_quin_1(B, C, D))), k3_xcmplx_0(2, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_polyeq_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ~ ( ( ~ (B=k5_numbers)  &  ( ~ (r1_xxreal_0(k5_numbers, k7_xcmplx_0(C, B)))  &  ( ~ (r1_xxreal_0(k7_xcmplx_0(D, B), k5_numbers))  &  (v1_abian(E) &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(k5_numbers, k1_quin_1(B, C, D)) &  (k2_polyeq_1(B, C, D, k1_newton(A, E))=k5_numbers &  ( ~ (A=k1_power(E, k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(C), k3_square_1(k1_quin_1(B, C, D))), k3_xcmplx_0(2, B))))  &  ( ~ (A=k4_xcmplx_0(k1_power(E, k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(C), k3_square_1(k1_quin_1(B, C, D))), k3_xcmplx_0(2, B)))))  &  ( ~ (A=k1_power(E, k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(C), k3_square_1(k1_quin_1(B, C, D))), k3_xcmplx_0(2, B))))  &  ~ (A=k4_xcmplx_0(k1_power(E, k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(C), k3_square_1(k1_quin_1(B, C, D))), k3_xcmplx_0(2, B))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_polyeq_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ~ ( ( ~ (B=k5_numbers)  &  ( ~ (v1_abian(D))  &  (k2_polyeq_1(B, C, k5_numbers, k1_newton(A, D))=k5_numbers &  ( ~ (A=k5_numbers)  &  ~ (A=k1_power(D, k4_xcmplx_0(k7_xcmplx_0(C, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_polyeq_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ~ ( ( ~ (B=k5_numbers)  &  ( ~ (r1_xxreal_0(k5_numbers, k7_xcmplx_0(C, B)))  &  (v1_abian(D) &  (r1_xxreal_0(1, D) &  (k2_polyeq_1(B, C, k5_numbers, k1_newton(A, D))=k5_numbers &  ( ~ (A=k5_numbers)  &  ( ~ (A=k1_power(D, k4_xcmplx_0(k7_xcmplx_0(C, B))))  &  ~ (A=k4_xcmplx_0(k1_power(D, k4_xcmplx_0(k7_xcmplx_0(C, B))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_polyeq_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (k2_xcmplx_0(k1_newton(A, 3), k1_newton(B, 3))=k3_xcmplx_0(k2_xcmplx_0(A, B), k2_xcmplx_0(k6_xcmplx_0(k1_square_1(A), k3_xcmplx_0(A, B)), k1_square_1(B))) & k2_xcmplx_0(k1_newton(A, 5), k1_newton(B, 5))=k3_xcmplx_0(k2_xcmplx_0(A, B), k2_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k1_newton(A, 4), k3_xcmplx_0(k1_newton(A, 3), B)), k3_xcmplx_0(k1_newton(A, 2), k1_newton(B, 2))), k3_xcmplx_0(A, k1_newton(B, 3))), k1_newton(B, 4)))) ) ) ) ) ).
fof(t12_polyeq_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (B=k5_numbers)  &  (r1_xxreal_0(k5_numbers, k6_xcmplx_0(k6_xcmplx_0(k1_square_1(C), k3_xcmplx_0(k3_xcmplx_0(2, B), C)), k3_xcmplx_0(3, k1_square_1(B)))) &  (k4_polyeq_1(B, C, C, B, A)=k5_numbers &  ( ~ (A=k4_xcmplx_0(1))  &  ( ~ (A=k7_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(B, C), k3_square_1(k6_xcmplx_0(k6_xcmplx_0(k1_square_1(C), k3_xcmplx_0(k3_xcmplx_0(2, B), C)), k3_xcmplx_0(3, k1_square_1(B))))), k3_xcmplx_0(2, B)))  &  ~ (A=k7_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(B, C), k3_square_1(k6_xcmplx_0(k6_xcmplx_0(k1_square_1(C), k3_xcmplx_0(k3_xcmplx_0(2, B), C)), k3_xcmplx_0(3, k1_square_1(B))))), k3_xcmplx_0(2, B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_polyeq_4, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  (v1_xcmplx_0(E) =>  (! [F] :  (v1_xcmplx_0(F) =>  (! [G] :  (v1_xcmplx_0(G) => k1_polyeq_4(A, B, C, D, E, F, G)=k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A, k1_newton(G, 5)), k3_xcmplx_0(B, k1_newton(G, 4))), k3_xcmplx_0(C, k1_newton(G, 3))), k3_xcmplx_0(D, k1_square_1(G))), k3_xcmplx_0(E, G)), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_polyeq_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (k1_polyeq_4(B, C, D, D, C, B, A)=k5_numbers =>  (B=k5_numbers |  (r1_xxreal_0(k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(C), k3_xcmplx_0(k3_xcmplx_0(2, B), C)), k3_xcmplx_0(5, k1_square_1(B))), k3_xcmplx_0(k3_xcmplx_0(4, B), D)), k5_numbers) |  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ~ ( (E=k7_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(B, C), k3_square_1(k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(C), k3_xcmplx_0(k3_xcmplx_0(2, B), C)), k3_xcmplx_0(5, k1_square_1(B))), k3_xcmplx_0(k3_xcmplx_0(4, B), D)))), k3_xcmplx_0(2, B)) &  (F=k7_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(B, C), k3_square_1(k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(C), k3_xcmplx_0(k3_xcmplx_0(2, B), C)), k3_xcmplx_0(5, k1_square_1(B))), k3_xcmplx_0(k3_xcmplx_0(4, B), D)))), k3_xcmplx_0(2, B)) &  ( ~ (A=k4_xcmplx_0(1))  &  ( ~ (A=k7_xcmplx_0(k2_xcmplx_0(E, k3_square_1(k1_quin_1(1, k4_xcmplx_0(E), 1))), 2))  &  ( ~ (A=k7_xcmplx_0(k2_xcmplx_0(F, k3_square_1(k1_quin_1(1, k4_xcmplx_0(F), 1))), 2))  &  ( ~ (A=k7_xcmplx_0(k6_xcmplx_0(E, k3_square_1(k1_quin_1(1, k4_xcmplx_0(E), 1))), 2))  &  ~ (A=k7_xcmplx_0(k6_xcmplx_0(F, k3_square_1(k1_quin_1(1, k4_xcmplx_0(F), 1))), 2)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_polyeq_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( (k2_xcmplx_0(A, B)=C &  (k3_xcmplx_0(A, B)=D &  (r1_xxreal_0(k5_numbers, k6_xcmplx_0(k1_square_1(C), k3_xcmplx_0(4, D))) &  ( ~ ( (A=k7_xcmplx_0(k2_xcmplx_0(C, k3_square_1(k6_xcmplx_0(k1_square_1(C), k3_xcmplx_0(4, D)))), 2) & B=k7_xcmplx_0(k6_xcmplx_0(C, k3_square_1(k6_xcmplx_0(k1_square_1(C), k3_xcmplx_0(4, D)))), 2)) )  &  ~ ( (A=k7_xcmplx_0(k6_xcmplx_0(C, k3_square_1(k6_xcmplx_0(k1_square_1(C), k3_xcmplx_0(4, D)))), 2) & B=k7_xcmplx_0(k2_xcmplx_0(C, k3_square_1(k6_xcmplx_0(k1_square_1(C), k3_xcmplx_0(4, D)))), 2)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_polyeq_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ~ ( (k2_xcmplx_0(k1_newton(A, E), k1_newton(B, E))=C &  (k3_xcmplx_0(k1_newton(A, E), k1_newton(B, E))=D &  (r1_xxreal_0(k5_numbers, k6_xcmplx_0(k1_square_1(C), k3_xcmplx_0(4, D))) &  ( ~ (v1_abian(E))  &  ( ~ ( (A=k1_power(E, k7_xcmplx_0(k2_xcmplx_0(C, k3_square_1(k6_xcmplx_0(k1_square_1(C), k3_xcmplx_0(4, D)))), 2)) & B=k1_power(E, k7_xcmplx_0(k6_xcmplx_0(C, k3_square_1(k6_xcmplx_0(k1_square_1(C), k3_xcmplx_0(4, D)))), 2))) )  &  ~ ( (A=k1_power(E, k7_xcmplx_0(k6_xcmplx_0(C, k3_square_1(k6_xcmplx_0(k1_square_1(C), k3_xcmplx_0(4, D)))), 2)) & B=k1_power(E, k7_xcmplx_0(k2_xcmplx_0(C, k3_square_1(k6_xcmplx_0(k1_square_1(C), k3_xcmplx_0(4, D)))), 2))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_polyeq_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ~ ( (k2_xcmplx_0(k1_newton(A, E), k1_newton(B, E))=C &  (k3_xcmplx_0(k1_newton(A, E), k1_newton(B, E))=D &  (r1_xxreal_0(k5_numbers, k6_xcmplx_0(k1_square_1(C), k3_xcmplx_0(4, D))) &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  ( ~ (r1_xxreal_0(D, k5_numbers))  &  (v1_abian(E) &  (r1_xxreal_0(1, E) &  ( ~ ( (A=k1_power(E, k7_xcmplx_0(k2_xcmplx_0(C, k3_square_1(k6_xcmplx_0(k1_square_1(C), k3_xcmplx_0(4, D)))), 2)) & B=k1_power(E, k7_xcmplx_0(k6_xcmplx_0(C, k3_square_1(k6_xcmplx_0(k1_square_1(C), k3_xcmplx_0(4, D)))), 2))) )  &  ( ~ ( (A=k4_xcmplx_0(k1_power(E, k7_xcmplx_0(k2_xcmplx_0(C, k3_square_1(k6_xcmplx_0(k1_square_1(C), k3_xcmplx_0(4, D)))), 2))) & B=k1_power(E, k7_xcmplx_0(k6_xcmplx_0(C, k3_square_1(k6_xcmplx_0(k1_square_1(C), k3_xcmplx_0(4, D)))), 2))) )  &  ( ~ ( (A=k1_power(E, k7_xcmplx_0(k2_xcmplx_0(C, k3_square_1(k6_xcmplx_0(k1_square_1(C), k3_xcmplx_0(4, D)))), 2)) & B=k4_xcmplx_0(k1_power(E, k7_xcmplx_0(k6_xcmplx_0(C, k3_square_1(k6_xcmplx_0(k1_square_1(C), k3_xcmplx_0(4, D)))), 2)))) )  &  ( ~ ( (A=k4_xcmplx_0(k1_power(E, k7_xcmplx_0(k2_xcmplx_0(C, k3_square_1(k6_xcmplx_0(k1_square_1(C), k3_xcmplx_0(4, D)))), 2))) & B=k4_xcmplx_0(k1_power(E, k7_xcmplx_0(k6_xcmplx_0(C, k3_square_1(k6_xcmplx_0(k1_square_1(C), k3_xcmplx_0(4, D)))), 2)))) )  &  ( ~ ( (A=k1_power(E, k7_xcmplx_0(k6_xcmplx_0(C, k3_square_1(k6_xcmplx_0(k1_square_1(C), k3_xcmplx_0(4, D)))), 2)) & B=k1_power(E, k7_xcmplx_0(k2_xcmplx_0(C, k3_square_1(k6_xcmplx_0(k1_square_1(C), k3_xcmplx_0(4, D)))), 2))) )  &  ( ~ ( (A=k4_xcmplx_0(k1_power(E, k7_xcmplx_0(k6_xcmplx_0(C, k3_square_1(k6_xcmplx_0(k1_square_1(C), k3_xcmplx_0(4, D)))), 2))) & B=k1_power(E, k7_xcmplx_0(k2_xcmplx_0(C, k3_square_1(k6_xcmplx_0(k1_square_1(C), k3_xcmplx_0(4, D)))), 2))) )  &  ( ~ ( (A=k1_power(E, k7_xcmplx_0(k6_xcmplx_0(C, k3_square_1(k6_xcmplx_0(k1_square_1(C), k3_xcmplx_0(4, D)))), 2)) & B=k4_xcmplx_0(k1_power(E, k7_xcmplx_0(k2_xcmplx_0(C, k3_square_1(k6_xcmplx_0(k1_square_1(C), k3_xcmplx_0(4, D)))), 2)))) )  &  ~ ( (A=k4_xcmplx_0(k1_power(E, k7_xcmplx_0(k6_xcmplx_0(C, k3_square_1(k6_xcmplx_0(k1_square_1(C), k3_xcmplx_0(4, D)))), 2))) & B=k4_xcmplx_0(k1_power(E, k7_xcmplx_0(k2_xcmplx_0(C, k3_square_1(k6_xcmplx_0(k1_square_1(C), k3_xcmplx_0(4, D)))), 2)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_polyeq_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ~ ( (k2_xcmplx_0(k1_newton(A, E), k1_newton(B, E))=C &  (k6_xcmplx_0(k1_newton(A, E), k1_newton(B, E))=D &  (v1_abian(E) &  (r1_xxreal_0(1, E) &  ( ~ (r1_xxreal_0(k2_xcmplx_0(C, D), k5_numbers))  &  ( ~ (r1_xxreal_0(k6_xcmplx_0(C, D), k5_numbers))  &  ( ~ ( (A=k1_power(E, k7_xcmplx_0(k2_xcmplx_0(C, D), 2)) & B=k1_power(E, k7_xcmplx_0(k6_xcmplx_0(C, D), 2))) )  &  ( ~ ( (A=k1_power(E, k7_xcmplx_0(k2_xcmplx_0(C, D), 2)) & B=k4_xcmplx_0(k1_power(E, k7_xcmplx_0(k6_xcmplx_0(C, D), 2)))) )  &  ( ~ ( (A=k4_xcmplx_0(k1_power(E, k7_xcmplx_0(k2_xcmplx_0(C, D), 2))) & B=k1_power(E, k7_xcmplx_0(k6_xcmplx_0(C, D), 2))) )  &  ~ ( (A=k4_xcmplx_0(k1_power(E, k7_xcmplx_0(k2_xcmplx_0(C, D), 2))) & B=k4_xcmplx_0(k1_power(E, k7_xcmplx_0(k6_xcmplx_0(C, D), 2)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_polyeq_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  ~ ( (k2_xcmplx_0(k3_xcmplx_0(C, k1_newton(A, F)), k3_xcmplx_0(D, k1_newton(B, F)))=E &  (k3_xcmplx_0(A, B)=k5_numbers &  ( ~ (v1_abian(F))  &  ( ~ (k3_xcmplx_0(C, D)=k5_numbers)  &  ( ~ ( (A=k5_numbers & B=k1_power(F, k7_xcmplx_0(E, D))) )  &  ~ ( (A=k1_power(F, k7_xcmplx_0(E, C)) & B=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_polyeq_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  ~ ( (k2_xcmplx_0(k3_xcmplx_0(C, k1_newton(A, F)), k3_xcmplx_0(D, k1_newton(B, F)))=E &  (k3_xcmplx_0(A, B)=k5_numbers &  (v1_abian(F) &  (r1_xxreal_0(1, F) &  ( ~ (r1_xxreal_0(k7_xcmplx_0(E, D), k5_numbers))  &  ( ~ (r1_xxreal_0(k7_xcmplx_0(E, C), k5_numbers))  &  ( ~ (k3_xcmplx_0(C, D)=k5_numbers)  &  ( ~ ( (A=k5_numbers & B=k1_power(F, k7_xcmplx_0(E, D))) )  &  ( ~ ( (A=k5_numbers & B=k4_xcmplx_0(k1_power(F, k7_xcmplx_0(E, D)))) )  &  ( ~ ( (A=k1_power(F, k7_xcmplx_0(E, C)) & B=k5_numbers) )  &  ~ ( (A=k4_xcmplx_0(k1_power(F, k7_xcmplx_0(E, C))) & B=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_polyeq_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  ( (k3_xcmplx_0(C, k1_newton(A, F))=D & k3_xcmplx_0(A, B)=E)  =>  (v1_abian(F) |  (k3_xcmplx_0(D, C)=k5_numbers |  (A=k1_power(F, k7_xcmplx_0(D, C)) & B=k3_xcmplx_0(E, k1_power(F, k7_xcmplx_0(C, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_polyeq_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  ~ ( (k3_xcmplx_0(C, k1_newton(A, F))=D &  (k3_xcmplx_0(A, B)=E &  (v1_abian(F) &  (r1_xxreal_0(1, F) &  ( ~ (r1_xxreal_0(k7_xcmplx_0(D, C), k5_numbers))  &  ( ~ (C=k5_numbers)  &  ( ~ ( (A=k1_power(F, k7_xcmplx_0(D, C)) & B=k3_xcmplx_0(E, k1_power(F, k7_xcmplx_0(C, D)))) )  &  ~ ( (A=k4_xcmplx_0(k1_power(F, k7_xcmplx_0(D, C))) & B=k4_xcmplx_0(k3_xcmplx_0(E, k1_power(F, k7_xcmplx_0(C, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_polyeq_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (k2_power(A, B)=1 =>  (r1_xxreal_0(A, k5_numbers) |  (A=1 | B=k5_numbers) ) ) ) ) ) ) ).
fof(t23_polyeq_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (k2_power(A, B)=A =>  (r1_xxreal_0(A, k5_numbers) |  (A=1 | B=1) ) ) ) ) ) ) ).
fof(t24_polyeq_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (k3_power(A, C)=k5_numbers =>  (r1_xxreal_0(A, k5_numbers) |  (A=1 |  (r1_xxreal_0(C, k5_numbers) | C=1) ) ) ) ) ) ) ) ) ) ).
fof(t25_polyeq_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (k3_power(A, C)=1 =>  (r1_xxreal_0(A, k5_numbers) |  (A=1 |  (r1_xxreal_0(C, k5_numbers) | C=A) ) ) ) ) ) ) ) ) ) ).
fof(t1_polyeq_5, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(A, A)=k1_newton(A, 2)) ) ).
fof(t2_polyeq_5, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(k3_xcmplx_0(A, A), A)=k1_newton(A, 3)) ) ).
fof(t3_polyeq_5, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(A, A), A), A)=k1_newton(A, 4)) ) ).
fof(t4_polyeq_5, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k1_newton(k6_xcmplx_0(A, B), 2)=k2_xcmplx_0(k6_xcmplx_0(k1_newton(A, 2), k3_xcmplx_0(k3_xcmplx_0(2, A), B)), k1_newton(B, 2))) ) ) ) ).
fof(t5_polyeq_5, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k1_newton(k6_xcmplx_0(A, B), 3)=k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k1_newton(A, 3), k3_xcmplx_0(k3_xcmplx_0(3, k1_newton(A, 2)), B)), k3_xcmplx_0(k3_xcmplx_0(3, k1_newton(B, 2)), A)), k1_newton(B, 3))) ) ) ) ).
fof(t6_polyeq_5, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k1_newton(k6_xcmplx_0(A, B), 4)=k2_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k1_newton(A, 4), k3_xcmplx_0(k3_xcmplx_0(4, k1_newton(A, 3)), B)), k3_xcmplx_0(k3_xcmplx_0(6, k1_newton(A, 2)), k1_newton(B, 2))), k3_xcmplx_0(k3_xcmplx_0(4, k1_newton(B, 3)), A)), k1_newton(B, 4))) ) ) ) ).
fof(d1_polyeq_5, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v1_xcmplx_0(B) => k1_polyeq_5(A, B)=k3_xcmplx_0(k1_power(A, k9_complex1(B)), k2_xcmplx_0(k19_sin_cos(k7_xcmplx_0(k1_comptrig(B), A)), k3_xcmplx_0(k17_sin_cos(k7_xcmplx_0(k1_comptrig(B), A)), k7_complex1)))) ) ) ) ).
fof(t7_polyeq_5, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  => k1_newton(k1_polyeq_5(B, A), B)=A) ) ) ) ).
fof(t8_polyeq_5, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(k5_numbers, B) => k1_polyeq_5(A, B)=k1_power(A, B)) ) ) ) ) ).
fof(t9_polyeq_5, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  => k1_polyeq_5(B, k7_xcmplx_0(A, C))=k7_xcmplx_0(k1_polyeq_5(B, A), k1_polyeq_5(B, C))) ) ) ) ) ) ) ).
fof(t10_polyeq_5, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (k1_newton(B, 2)=A <=>  (B=k1_polyeq_5(2, A) | B=k4_xcmplx_0(k1_polyeq_5(2, A))) ) ) ) ) ) ).
fof(t11_polyeq_5, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  (v1_xcmplx_0(E) =>  ( (C=k4_xcmplx_0(k2_xcmplx_0(D, E)) & B=k3_xcmplx_0(D, E))  =>  (k2_xcmplx_0(k2_xcmplx_0(k1_newton(A, 2), k3_xcmplx_0(C, A)), B)=k5_numbers <=>  (A=D | A=E) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_polyeq_5, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  ( ~ (D=k5_numbers)  =>  (k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(D, k1_newton(A, 2)), k3_xcmplx_0(C, A)), B)=k5_numbers <=>  (A=k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(C, k3_xcmplx_0(2, D))), k7_xcmplx_0(k1_polyeq_5(2, k1_quin_1(B, C, D)), k3_xcmplx_0(2, D))) | A=k6_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(C, k3_xcmplx_0(2, D))), k7_xcmplx_0(k1_polyeq_5(2, k1_quin_1(B, C, D)), k3_xcmplx_0(2, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_polyeq_5, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  (v1_xcmplx_0(E) =>  (! [F] :  (v1_xcmplx_0(F) =>  (! [G] :  (v1_xcmplx_0(G) =>  ( (A=k6_xcmplx_0(E, k7_xcmplx_0(D, 3)) &  (F=k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(3, C), k1_newton(D, 2)), 9) & G=k7_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(9, D), C), k3_xcmplx_0(2, k1_newton(D, 3))), k3_xcmplx_0(27, B)), 54)) )  =>  (k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_newton(A, 3), k3_xcmplx_0(D, k1_newton(A, 2))), k3_xcmplx_0(C, A)), B)=k5_numbers <=> k6_xcmplx_0(k2_xcmplx_0(k1_newton(E, 3), k3_xcmplx_0(k3_xcmplx_0(3, F), E)), k3_xcmplx_0(2, G))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_polyeq_5, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  (v1_xcmplx_0(E) =>  (! [F] :  (v1_xcmplx_0(F) =>  (! [G] :  (v1_xcmplx_0(G) =>  ( (D=k4_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(E, F), G)) &  (C=k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(E, F), k3_xcmplx_0(E, G)), k3_xcmplx_0(F, G)) & B=k4_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(E, F), G))) )  =>  (k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_newton(A, 3), k3_xcmplx_0(D, k1_newton(A, 2))), k3_xcmplx_0(C, A)), B)=k5_numbers <=>  ~ ( ( ~ (A=E)  &  ( ~ (A=F)  &  ~ (A=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_polyeq_5, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  (v1_xcmplx_0(E) =>  (! [F] :  (v1_xcmplx_0(F) =>  (! [G] :  (v1_xcmplx_0(G) =>  (! [H] :  (v1_xcmplx_0(H) =>  (! [I] :  (v1_xcmplx_0(I) =>  ( (G=k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(3, C), k1_newton(D, 2)), 9) &  (H=k7_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(9, D), C), k3_xcmplx_0(2, k1_newton(D, 3))), k3_xcmplx_0(27, B)), 54) &  (I=k1_polyeq_5(2, k2_xcmplx_0(k1_newton(G, 3), k1_newton(H, 2))) &  (E=k1_polyeq_5(3, k2_xcmplx_0(H, I)) & F=k4_xcmplx_0(k7_xcmplx_0(G, E))) ) ) )  =>  (G=k5_numbers |  (k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_newton(A, 3), k3_xcmplx_0(D, k1_newton(A, 2))), k3_xcmplx_0(C, A)), B)=k5_numbers <=>  ~ ( ( ~ (A=k6_xcmplx_0(k2_xcmplx_0(E, F), k7_xcmplx_0(D, 3)))  &  ( ~ (A=k2_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(E, F), 2)), k7_xcmplx_0(D, 3)), k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(E, F), k1_polyeq_5(2, 3)), k7_complex1), 2)))  &  ~ (A=k6_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(E, F), 2)), k7_xcmplx_0(D, 3)), k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(E, F), k1_polyeq_5(2, 3)), k7_complex1), 2))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_polyeq_5, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  (v1_xcmplx_0(E) =>  (! [F] :  (v1_xcmplx_0(F) =>  (! [G] :  (v1_xcmplx_0(G) =>  ( (F=k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(3, C), k1_newton(D, 2)), 9) &  (F=k5_numbers &  (G=k7_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(9, D), C), k3_xcmplx_0(2, k1_newton(D, 3))), k3_xcmplx_0(27, B)), 54) & E=k1_polyeq_5(3, k3_xcmplx_0(2, G))) ) )  =>  (k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_newton(A, 3), k3_xcmplx_0(D, k1_newton(A, 2))), k3_xcmplx_0(C, A)), B)=k5_numbers <=>  ~ ( ( ~ (A=k6_xcmplx_0(E, k7_xcmplx_0(D, 3)))  &  ( ~ (A=k2_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(E, 2)), k7_xcmplx_0(D, 3)), k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(E, k1_polyeq_5(2, 3)), k7_complex1), 2)))  &  ~ (A=k6_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(E, 2)), k7_xcmplx_0(D, 3)), k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(E, k1_polyeq_5(2, 3)), k7_complex1), 2))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_polyeq_5, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  ( (k6_xcmplx_0(k3_xcmplx_0(3, B), k1_newton(C, 2))=k5_numbers =>  (D=k2_polyeq_5(A, B, C) <=>  (? [E] :  (v1_xcmplx_0(E) &  (? [F] :  (v1_xcmplx_0(F) &  (E=k7_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(9, C), B), k3_xcmplx_0(2, k1_newton(C, 3))), k3_xcmplx_0(27, A)), 54) &  (F=k1_polyeq_5(3, k3_xcmplx_0(2, E)) & D=k6_xcmplx_0(F, k7_xcmplx_0(C, 3))) ) ) ) ) ) ) )  &  ( ~ (k6_xcmplx_0(k3_xcmplx_0(3, B), k1_newton(C, 2))=k5_numbers)  =>  (D=k2_polyeq_5(A, B, C) <=>  (? [E] :  (v1_xcmplx_0(E) &  (? [F] :  (v1_xcmplx_0(F) &  (? [G] :  (v1_xcmplx_0(G) &  (? [H] :  (v1_xcmplx_0(H) &  (? [I] :  (v1_xcmplx_0(I) &  (E=k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(3, B), k1_newton(C, 2)), 9) &  (F=k7_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(9, C), B), k3_xcmplx_0(2, k1_newton(C, 3))), k3_xcmplx_0(27, A)), 54) &  (G=k1_polyeq_5(2, k2_xcmplx_0(k1_newton(E, 3), k1_newton(F, 2))) &  (H=k1_polyeq_5(3, k2_xcmplx_0(F, G)) &  (I=k4_xcmplx_0(k7_xcmplx_0(E, H)) & D=k6_xcmplx_0(k2_xcmplx_0(H, I), k7_xcmplx_0(C, 3))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_polyeq_5, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  ( (k6_xcmplx_0(k3_xcmplx_0(3, B), k1_newton(C, 2))=k5_numbers =>  (D=k3_polyeq_5(A, B, C) <=>  (? [E] :  (v1_xcmplx_0(E) &  (? [F] :  (v1_xcmplx_0(F) &  (E=k7_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(9, C), B), k3_xcmplx_0(2, k1_newton(C, 3))), k3_xcmplx_0(27, A)), 54) &  (F=k1_polyeq_5(3, k3_xcmplx_0(2, E)) & D=k2_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(F, 2)), k7_xcmplx_0(C, 3)), k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(F, k1_polyeq_5(2, 3)), k7_complex1), 2))) ) ) ) ) ) ) )  &  ( ~ (k6_xcmplx_0(k3_xcmplx_0(3, B), k1_newton(C, 2))=k5_numbers)  =>  (D=k3_polyeq_5(A, B, C) <=>  (? [E] :  (v1_xcmplx_0(E) &  (? [F] :  (v1_xcmplx_0(F) &  (? [G] :  (v1_xcmplx_0(G) &  (? [H] :  (v1_xcmplx_0(H) &  (? [I] :  (v1_xcmplx_0(I) &  (E=k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(3, B), k1_newton(C, 2)), 9) &  (F=k7_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(9, C), B), k3_xcmplx_0(2, k1_newton(C, 3))), k3_xcmplx_0(27, A)), 54) &  (G=k1_polyeq_5(2, k2_xcmplx_0(k1_newton(E, 3), k1_newton(F, 2))) &  (H=k1_polyeq_5(3, k2_xcmplx_0(F, G)) &  (I=k4_xcmplx_0(k7_xcmplx_0(E, H)) & D=k2_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(H, I), 2)), k7_xcmplx_0(C, 3)), k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(H, I), k1_polyeq_5(2, 3)), k7_complex1), 2))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_polyeq_5, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  ( (k6_xcmplx_0(k3_xcmplx_0(3, B), k1_newton(C, 2))=k5_numbers =>  (D=k4_polyeq_5(A, B, C) <=>  (? [E] :  (v1_xcmplx_0(E) &  (? [F] :  (v1_xcmplx_0(F) &  (E=k7_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(9, C), B), k3_xcmplx_0(2, k1_newton(C, 3))), k3_xcmplx_0(27, A)), 54) &  (F=k1_polyeq_5(3, k3_xcmplx_0(2, E)) & D=k6_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(F, 2)), k7_xcmplx_0(C, 3)), k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(F, k1_polyeq_5(2, 3)), k7_complex1), 2))) ) ) ) ) ) ) )  &  ( ~ (k6_xcmplx_0(k3_xcmplx_0(3, B), k1_newton(C, 2))=k5_numbers)  =>  (D=k4_polyeq_5(A, B, C) <=>  (? [E] :  (v1_xcmplx_0(E) &  (? [F] :  (v1_xcmplx_0(F) &  (? [G] :  (v1_xcmplx_0(G) &  (? [H] :  (v1_xcmplx_0(H) &  (? [I] :  (v1_xcmplx_0(I) &  (E=k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(3, B), k1_newton(C, 2)), 9) &  (F=k7_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(9, C), B), k3_xcmplx_0(2, k1_newton(C, 3))), k3_xcmplx_0(27, A)), 54) &  (G=k1_polyeq_5(2, k2_xcmplx_0(k1_newton(E, 3), k1_newton(F, 2))) &  (H=k1_polyeq_5(3, k2_xcmplx_0(F, G)) &  (I=k4_xcmplx_0(k7_xcmplx_0(E, H)) & D=k6_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(H, I), 2)), k7_xcmplx_0(C, 3)), k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(H, I), k1_polyeq_5(2, 3)), k7_complex1), 2))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_polyeq_5, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k2_xcmplx_0(k2_xcmplx_0(k2_polyeq_5(A, B, C), k3_polyeq_5(A, B, C)), k4_polyeq_5(A, B, C))=k4_xcmplx_0(C)) ) ) ) ) ) ).
fof(t18_polyeq_5, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k2_polyeq_5(A, B, C), k3_polyeq_5(A, B, C)), k3_xcmplx_0(k2_polyeq_5(A, B, C), k4_polyeq_5(A, B, C))), k3_xcmplx_0(k3_polyeq_5(A, B, C), k4_polyeq_5(A, B, C)))=B) ) ) ) ) ) ).
fof(t19_polyeq_5, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k3_xcmplx_0(k3_xcmplx_0(k2_polyeq_5(A, B, C), k3_polyeq_5(A, B, C)), k4_polyeq_5(A, B, C))=k4_xcmplx_0(A)) ) ) ) ) ) ).
fof(t20_polyeq_5, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  (v1_xcmplx_0(E) =>  ( ~ (E=k5_numbers)  =>  (k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(E, k1_newton(A, 3)), k3_xcmplx_0(D, k1_newton(A, 2))), k3_xcmplx_0(C, A)), B)=k5_numbers <=>  ~ ( ( ~ (A=k2_polyeq_5(k7_xcmplx_0(B, E), k7_xcmplx_0(C, E), k7_xcmplx_0(D, E)))  &  ( ~ (A=k3_polyeq_5(k7_xcmplx_0(B, E), k7_xcmplx_0(C, E), k7_xcmplx_0(D, E)))  &  ~ (A=k4_polyeq_5(k7_xcmplx_0(B, E), k7_xcmplx_0(C, E), k7_xcmplx_0(D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_polyeq_5, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  (v1_xcmplx_0(E) =>  (! [F] :  (v1_xcmplx_0(F) =>  (! [G] :  (v1_xcmplx_0(G) =>  (! [H] :  (v1_xcmplx_0(H) =>  (! [I] :  (v1_xcmplx_0(I) =>  ( (A=k6_xcmplx_0(F, k7_xcmplx_0(E, 4)) &  (I=k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8, D), k3_xcmplx_0(3, k1_newton(E, 2))), 32) &  (G=k7_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8, C), k3_xcmplx_0(k3_xcmplx_0(4, D), E)), k1_newton(E, 3)), 64) & H=k7_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(256, B), k3_xcmplx_0(k3_xcmplx_0(64, E), C)), k3_xcmplx_0(k3_xcmplx_0(16, k1_newton(E, 2)), D)), k3_xcmplx_0(3, k1_newton(E, 4))), 1024)) ) )  =>  (k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_newton(A, 4), k3_xcmplx_0(E, k1_newton(A, 3))), k3_xcmplx_0(D, k1_newton(A, 2))), k3_xcmplx_0(C, A)), B)=k5_numbers <=> k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_newton(F, 4), k3_xcmplx_0(k3_xcmplx_0(4, I), k1_newton(F, 2))), k3_xcmplx_0(k3_xcmplx_0(8, G), F)), k3_xcmplx_0(4, H))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_polyeq_5, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  (v1_xcmplx_0(E) =>  (! [F] :  (v1_xcmplx_0(F) =>  (! [G] :  (v1_xcmplx_0(G) =>  (! [H] :  (v1_xcmplx_0(H) =>  (! [I] :  (v1_xcmplx_0(I) =>  ( (G=k4_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(E, F), H), I)) &  (D=k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(E, F), k3_xcmplx_0(E, H)), k3_xcmplx_0(E, I)), k3_xcmplx_0(F, H)), k3_xcmplx_0(F, I)), k3_xcmplx_0(H, I)) &  (C=k4_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(E, F), H), k3_xcmplx_0(k3_xcmplx_0(E, F), I)), k3_xcmplx_0(k3_xcmplx_0(E, H), I)), k3_xcmplx_0(k3_xcmplx_0(F, H), I))) & B=k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(E, F), H), I)) ) )  =>  (k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_newton(A, 4), k3_xcmplx_0(G, k1_newton(A, 3))), k3_xcmplx_0(D, k1_newton(A, 2))), k3_xcmplx_0(C, A)), B)=k5_numbers <=>  ~ ( ( ~ (A=E)  &  ( ~ (A=F)  &  ( ~ (A=H)  &  ~ (A=I) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_polyeq_5, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  (v1_xcmplx_0(E) =>  (! [F] :  (v1_xcmplx_0(F) =>  (! [G] :  (v1_xcmplx_0(G) =>  ( (B=k1_polyeq_5(2, k2_polyeq_5(k4_xcmplx_0(k1_newton(D, 2)), k6_xcmplx_0(k1_newton(G, 2), E), k3_xcmplx_0(2, G))) &  (C=k1_polyeq_5(2, k3_polyeq_5(k4_xcmplx_0(k1_newton(D, 2)), k6_xcmplx_0(k1_newton(G, 2), E), k3_xcmplx_0(2, G))) & F=k4_xcmplx_0(k7_xcmplx_0(D, k3_xcmplx_0(B, C)))) )  =>  (D=k5_numbers |  (k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_newton(A, 4), k3_xcmplx_0(k3_xcmplx_0(4, G), k1_newton(A, 2))), k3_xcmplx_0(k3_xcmplx_0(8, D), A)), k3_xcmplx_0(4, E))=k5_numbers <=>  ~ ( ( ~ (A=k2_xcmplx_0(k2_xcmplx_0(B, C), F))  &  ( ~ (A=k6_xcmplx_0(k6_xcmplx_0(B, C), F))  &  ( ~ (A=k6_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(B), C), F))  &  ~ (A=k2_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(B), C), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_polyeq_5, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  (v1_xcmplx_0(E) =>  (! [F] :  (v1_xcmplx_0(F) =>  (! [G] :  (v1_xcmplx_0(G) =>  (! [H] :  (v1_xcmplx_0(H) =>  (! [I] :  (v1_xcmplx_0(I) =>  (! [J] :  (v1_xcmplx_0(J) =>  (! [K] :  (v1_xcmplx_0(K) =>  ( (K=k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8, D), k3_xcmplx_0(3, k1_newton(G, 2))), 32) &  (H=k7_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8, C), k3_xcmplx_0(k3_xcmplx_0(4, D), G)), k1_newton(G, 3)), 64) &  (I=k7_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(256, B), k3_xcmplx_0(k3_xcmplx_0(64, G), C)), k3_xcmplx_0(k3_xcmplx_0(16, k1_newton(G, 2)), D)), k3_xcmplx_0(3, k1_newton(G, 4))), 1024) &  (E=k1_polyeq_5(2, k2_polyeq_5(k4_xcmplx_0(k1_newton(H, 2)), k6_xcmplx_0(k1_newton(K, 2), I), k3_xcmplx_0(2, K))) &  (F=k1_polyeq_5(2, k3_polyeq_5(k4_xcmplx_0(k1_newton(H, 2)), k6_xcmplx_0(k1_newton(K, 2), I), k3_xcmplx_0(2, K))) & J=k4_xcmplx_0(k7_xcmplx_0(H, k3_xcmplx_0(E, F)))) ) ) ) )  =>  (H=k5_numbers |  (k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_newton(A, 4), k3_xcmplx_0(G, k1_newton(A, 3))), k3_xcmplx_0(D, k1_newton(A, 2))), k3_xcmplx_0(C, A)), B)=k5_numbers <=>  ~ ( ( ~ (A=k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(E, F), J), k7_xcmplx_0(G, 4)))  &  ( ~ (A=k6_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(E, F), J), k7_xcmplx_0(G, 4)))  &  ( ~ (A=k6_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(E), F), J), k7_xcmplx_0(G, 4)))  &  ~ (A=k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(E), F), J), k7_xcmplx_0(G, 4))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_polyeq_5, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  (v1_xcmplx_0(E) =>  (! [F] :  (v1_xcmplx_0(F) =>  (! [G] :  (v1_xcmplx_0(G) =>  (! [H] :  (v1_xcmplx_0(H) =>  (! [I] :  (v1_xcmplx_0(I) =>  ( (I=k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8, D), k3_xcmplx_0(3, k1_newton(F, 2))), 32) &  (G=k7_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8, C), k3_xcmplx_0(k3_xcmplx_0(4, D), F)), k1_newton(F, 3)), 64) &  (G=k5_numbers &  (H=k7_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(256, B), k3_xcmplx_0(k3_xcmplx_0(64, F), C)), k3_xcmplx_0(k3_xcmplx_0(16, k1_newton(F, 2)), D)), k3_xcmplx_0(3, k1_newton(F, 4))), 1024) & E=k1_polyeq_5(2, k6_xcmplx_0(k1_newton(I, 2), H))) ) ) )  =>  (k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_newton(A, 4), k3_xcmplx_0(F, k1_newton(A, 3))), k3_xcmplx_0(D, k1_newton(A, 2))), k3_xcmplx_0(C, A)), B)=k5_numbers <=>  ~ ( ( ~ (A=k6_xcmplx_0(k1_polyeq_5(2, k4_xcmplx_0(k3_xcmplx_0(2, k6_xcmplx_0(I, E)))), k7_xcmplx_0(F, 4)))  &  ( ~ (A=k6_xcmplx_0(k4_xcmplx_0(k1_polyeq_5(2, k4_xcmplx_0(k3_xcmplx_0(2, k6_xcmplx_0(I, E))))), k7_xcmplx_0(F, 4)))  &  ( ~ (A=k6_xcmplx_0(k1_polyeq_5(2, k4_xcmplx_0(k3_xcmplx_0(2, k2_xcmplx_0(I, E)))), k7_xcmplx_0(F, 4)))  &  ~ (A=k6_xcmplx_0(k4_xcmplx_0(k1_polyeq_5(2, k4_xcmplx_0(k3_xcmplx_0(2, k2_xcmplx_0(I, E))))), k7_xcmplx_0(F, 4))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_polyeq_5, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  (v1_xcmplx_0(E) =>  ( (k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8, B), k3_xcmplx_0(k3_xcmplx_0(4, C), D)), k1_newton(D, 3))=k5_numbers =>  (E=k5_polyeq_5(A, B, C, D) <=>  (? [F] :  (v1_xcmplx_0(F) &  (? [G] :  (v1_xcmplx_0(G) &  (? [H] :  (v1_xcmplx_0(H) &  (F=k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8, C), k3_xcmplx_0(3, k1_newton(D, 2))), 32) &  (G=k7_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(256, A), k3_xcmplx_0(k3_xcmplx_0(64, D), B)), k3_xcmplx_0(k3_xcmplx_0(16, k1_newton(D, 2)), C)), k3_xcmplx_0(3, k1_newton(D, 4))), 1024) &  (H=k1_polyeq_5(2, k6_xcmplx_0(k1_newton(F, 2), G)) & E=k6_xcmplx_0(k1_polyeq_5(2, k4_xcmplx_0(k3_xcmplx_0(2, k6_xcmplx_0(F, H)))), k7_xcmplx_0(D, 4))) ) ) ) ) ) ) ) ) ) )  &  ( ~ (k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8, B), k3_xcmplx_0(k3_xcmplx_0(4, C), D)), k1_newton(D, 3))=k5_numbers)  =>  (E=k5_polyeq_5(A, B, C, D) <=>  (? [F] :  (v1_xcmplx_0(F) &  (? [G] :  (v1_xcmplx_0(G) &  (? [H] :  (v1_xcmplx_0(H) &  (? [I] :  (v1_xcmplx_0(I) &  (? [J] :  (v1_xcmplx_0(J) &  (? [K] :  (v1_xcmplx_0(K) &  (F=k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8, C), k3_xcmplx_0(3, k1_newton(D, 2))), 32) &  (G=k7_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8, B), k3_xcmplx_0(k3_xcmplx_0(4, C), D)), k1_newton(D, 3)), 64) &  (H=k7_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(256, A), k3_xcmplx_0(k3_xcmplx_0(64, D), B)), k3_xcmplx_0(k3_xcmplx_0(16, k1_newton(D, 2)), C)), k3_xcmplx_0(3, k1_newton(D, 4))), 1024) &  (I=k1_polyeq_5(2, k2_polyeq_5(k4_xcmplx_0(k1_newton(G, 2)), k6_xcmplx_0(k1_newton(F, 2), H), k3_xcmplx_0(2, F))) &  (J=k1_polyeq_5(2, k3_polyeq_5(k4_xcmplx_0(k1_newton(G, 2)), k6_xcmplx_0(k1_newton(F, 2), H), k3_xcmplx_0(2, F))) &  (K=k4_xcmplx_0(k7_xcmplx_0(G, k3_xcmplx_0(I, J))) & E=k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(I, J), K), k7_xcmplx_0(D, 4))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_polyeq_5, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  (v1_xcmplx_0(E) =>  ( (k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8, B), k3_xcmplx_0(k3_xcmplx_0(4, C), D)), k1_newton(D, 3))=k5_numbers =>  (E=k6_polyeq_5(A, B, C, D) <=>  (? [F] :  (v1_xcmplx_0(F) &  (? [G] :  (v1_xcmplx_0(G) &  (? [H] :  (v1_xcmplx_0(H) &  (F=k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8, C), k3_xcmplx_0(3, k1_newton(D, 2))), 32) &  (G=k7_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(256, A), k3_xcmplx_0(k3_xcmplx_0(64, D), B)), k3_xcmplx_0(k3_xcmplx_0(16, k1_newton(D, 2)), C)), k3_xcmplx_0(3, k1_newton(D, 4))), 1024) &  (H=k1_polyeq_5(2, k6_xcmplx_0(k1_newton(F, 2), G)) & E=k6_xcmplx_0(k4_xcmplx_0(k1_polyeq_5(2, k4_xcmplx_0(k3_xcmplx_0(2, k6_xcmplx_0(F, H))))), k7_xcmplx_0(D, 4))) ) ) ) ) ) ) ) ) ) )  &  ( ~ (k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8, B), k3_xcmplx_0(k3_xcmplx_0(4, C), D)), k1_newton(D, 3))=k5_numbers)  =>  (E=k6_polyeq_5(A, B, C, D) <=>  (? [F] :  (v1_xcmplx_0(F) &  (? [G] :  (v1_xcmplx_0(G) &  (? [H] :  (v1_xcmplx_0(H) &  (? [I] :  (v1_xcmplx_0(I) &  (? [J] :  (v1_xcmplx_0(J) &  (? [K] :  (v1_xcmplx_0(K) &  (F=k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8, C), k3_xcmplx_0(3, k1_newton(D, 2))), 32) &  (G=k7_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8, B), k3_xcmplx_0(k3_xcmplx_0(4, C), D)), k1_newton(D, 3)), 64) &  (H=k7_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(256, A), k3_xcmplx_0(k3_xcmplx_0(64, D), B)), k3_xcmplx_0(k3_xcmplx_0(16, k1_newton(D, 2)), C)), k3_xcmplx_0(3, k1_newton(D, 4))), 1024) &  (I=k1_polyeq_5(2, k2_polyeq_5(k4_xcmplx_0(k1_newton(G, 2)), k6_xcmplx_0(k1_newton(F, 2), H), k3_xcmplx_0(2, F))) &  (J=k1_polyeq_5(2, k3_polyeq_5(k4_xcmplx_0(k1_newton(G, 2)), k6_xcmplx_0(k1_newton(F, 2), H), k3_xcmplx_0(2, F))) &  (K=k4_xcmplx_0(k7_xcmplx_0(G, k3_xcmplx_0(I, J))) & E=k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(I), J), K), k7_xcmplx_0(D, 4))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_polyeq_5, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  (v1_xcmplx_0(E) =>  ( (k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8, B), k3_xcmplx_0(k3_xcmplx_0(4, C), D)), k1_newton(D, 3))=k5_numbers =>  (E=k7_polyeq_5(A, B, C, D) <=>  (? [F] :  (v1_xcmplx_0(F) &  (? [G] :  (v1_xcmplx_0(G) &  (? [H] :  (v1_xcmplx_0(H) &  (F=k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8, C), k3_xcmplx_0(3, k1_newton(D, 2))), 32) &  (G=k7_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(256, A), k3_xcmplx_0(k3_xcmplx_0(64, D), B)), k3_xcmplx_0(k3_xcmplx_0(16, k1_newton(D, 2)), C)), k3_xcmplx_0(3, k1_newton(D, 4))), 1024) &  (H=k1_polyeq_5(2, k6_xcmplx_0(k1_newton(F, 2), G)) & E=k6_xcmplx_0(k1_polyeq_5(2, k4_xcmplx_0(k3_xcmplx_0(2, k2_xcmplx_0(F, H)))), k7_xcmplx_0(D, 4))) ) ) ) ) ) ) ) ) ) )  &  ( ~ (k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8, B), k3_xcmplx_0(k3_xcmplx_0(4, C), D)), k1_newton(D, 3))=k5_numbers)  =>  (E=k7_polyeq_5(A, B, C, D) <=>  (? [F] :  (v1_xcmplx_0(F) &  (? [G] :  (v1_xcmplx_0(G) &  (? [H] :  (v1_xcmplx_0(H) &  (? [I] :  (v1_xcmplx_0(I) &  (? [J] :  (v1_xcmplx_0(J) &  (? [K] :  (v1_xcmplx_0(K) &  (F=k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8, C), k3_xcmplx_0(3, k1_newton(D, 2))), 32) &  (G=k7_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8, B), k3_xcmplx_0(k3_xcmplx_0(4, C), D)), k1_newton(D, 3)), 64) &  (H=k7_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(256, A), k3_xcmplx_0(k3_xcmplx_0(64, D), B)), k3_xcmplx_0(k3_xcmplx_0(16, k1_newton(D, 2)), C)), k3_xcmplx_0(3, k1_newton(D, 4))), 1024) &  (I=k1_polyeq_5(2, k2_polyeq_5(k4_xcmplx_0(k1_newton(G, 2)), k6_xcmplx_0(k1_newton(F, 2), H), k3_xcmplx_0(2, F))) &  (J=k1_polyeq_5(2, k3_polyeq_5(k4_xcmplx_0(k1_newton(G, 2)), k6_xcmplx_0(k1_newton(F, 2), H), k3_xcmplx_0(2, F))) &  (K=k4_xcmplx_0(k7_xcmplx_0(G, k3_xcmplx_0(I, J))) & E=k6_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(I), J), K), k7_xcmplx_0(D, 4))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_polyeq_5, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  (v1_xcmplx_0(E) =>  ( (k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8, B), k3_xcmplx_0(k3_xcmplx_0(4, C), D)), k1_newton(D, 3))=k5_numbers =>  (E=k8_polyeq_5(A, B, C, D) <=>  (? [F] :  (v1_xcmplx_0(F) &  (? [G] :  (v1_xcmplx_0(G) &  (? [H] :  (v1_xcmplx_0(H) &  (F=k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8, C), k3_xcmplx_0(3, k1_newton(D, 2))), 32) &  (G=k7_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(256, A), k3_xcmplx_0(k3_xcmplx_0(64, D), B)), k3_xcmplx_0(k3_xcmplx_0(16, k1_newton(D, 2)), C)), k3_xcmplx_0(3, k1_newton(D, 4))), 1024) &  (H=k1_polyeq_5(2, k6_xcmplx_0(k1_newton(F, 2), G)) & E=k6_xcmplx_0(k4_xcmplx_0(k1_polyeq_5(2, k4_xcmplx_0(k3_xcmplx_0(2, k2_xcmplx_0(F, H))))), k7_xcmplx_0(D, 4))) ) ) ) ) ) ) ) ) ) )  &  ( ~ (k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8, B), k3_xcmplx_0(k3_xcmplx_0(4, C), D)), k1_newton(D, 3))=k5_numbers)  =>  (E=k8_polyeq_5(A, B, C, D) <=>  (? [F] :  (v1_xcmplx_0(F) &  (? [G] :  (v1_xcmplx_0(G) &  (? [H] :  (v1_xcmplx_0(H) &  (? [I] :  (v1_xcmplx_0(I) &  (? [J] :  (v1_xcmplx_0(J) &  (? [K] :  (v1_xcmplx_0(K) &  (F=k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8, C), k3_xcmplx_0(3, k1_newton(D, 2))), 32) &  (G=k7_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8, B), k3_xcmplx_0(k3_xcmplx_0(4, C), D)), k1_newton(D, 3)), 64) &  (H=k7_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(256, A), k3_xcmplx_0(k3_xcmplx_0(64, D), B)), k3_xcmplx_0(k3_xcmplx_0(16, k1_newton(D, 2)), C)), k3_xcmplx_0(3, k1_newton(D, 4))), 1024) &  (I=k1_polyeq_5(2, k2_polyeq_5(k4_xcmplx_0(k1_newton(G, 2)), k6_xcmplx_0(k1_newton(F, 2), H), k3_xcmplx_0(2, F))) &  (J=k1_polyeq_5(2, k3_polyeq_5(k4_xcmplx_0(k1_newton(G, 2)), k6_xcmplx_0(k1_newton(F, 2), H), k3_xcmplx_0(2, F))) &  (K=k4_xcmplx_0(k7_xcmplx_0(G, k3_xcmplx_0(I, J))) & E=k6_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(I, J), K), k7_xcmplx_0(D, 4))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_polyeq_5, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) => k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k5_polyeq_5(A, B, C, D), k6_polyeq_5(A, B, C, D)), k7_polyeq_5(A, B, C, D)), k8_polyeq_5(A, B, C, D))=k4_xcmplx_0(D)) ) ) ) ) ) ) ) ).
fof(t27_polyeq_5, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) => k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k5_polyeq_5(A, B, C, D), k6_polyeq_5(A, B, C, D)), k3_xcmplx_0(k5_polyeq_5(A, B, C, D), k7_polyeq_5(A, B, C, D))), k3_xcmplx_0(k5_polyeq_5(A, B, C, D), k8_polyeq_5(A, B, C, D))), k3_xcmplx_0(k6_polyeq_5(A, B, C, D), k7_polyeq_5(A, B, C, D))), k3_xcmplx_0(k6_polyeq_5(A, B, C, D), k8_polyeq_5(A, B, C, D))), k3_xcmplx_0(k7_polyeq_5(A, B, C, D), k8_polyeq_5(A, B, C, D)))=C) ) ) ) ) ) ) ) ).
fof(t28_polyeq_5, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) => k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k5_polyeq_5(A, B, C, D), k6_polyeq_5(A, B, C, D)), k7_polyeq_5(A, B, C, D)), k3_xcmplx_0(k3_xcmplx_0(k5_polyeq_5(A, B, C, D), k6_polyeq_5(A, B, C, D)), k8_polyeq_5(A, B, C, D))), k3_xcmplx_0(k3_xcmplx_0(k5_polyeq_5(A, B, C, D), k7_polyeq_5(A, B, C, D)), k8_polyeq_5(A, B, C, D))), k3_xcmplx_0(k3_xcmplx_0(k6_polyeq_5(A, B, C, D), k7_polyeq_5(A, B, C, D)), k8_polyeq_5(A, B, C, D)))=k4_xcmplx_0(B)) ) ) ) ) ) ) ) ).
fof(t29_polyeq_5, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) => k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k5_polyeq_5(A, B, C, D), k6_polyeq_5(A, B, C, D)), k7_polyeq_5(A, B, C, D)), k8_polyeq_5(A, B, C, D))=A) ) ) ) ) ) ) ) ).
fof(t30_polyeq_5, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  (! [E] :  (v1_xcmplx_0(E) =>  (! [F] :  (v1_xcmplx_0(F) =>  ( ~ (F=k5_numbers)  =>  (k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(F, k1_newton(A, 4)), k3_xcmplx_0(E, k1_newton(A, 3))), k3_xcmplx_0(D, k1_newton(A, 2))), k3_xcmplx_0(C, A)), B)=k5_numbers <=>  ~ ( ( ~ (A=k5_polyeq_5(k7_xcmplx_0(B, F), k7_xcmplx_0(C, F), k7_xcmplx_0(D, F), k7_xcmplx_0(E, F)))  &  ( ~ (A=k6_polyeq_5(k7_xcmplx_0(B, F), k7_xcmplx_0(C, F), k7_xcmplx_0(D, F), k7_xcmplx_0(E, F)))  &  ( ~ (A=k7_polyeq_5(k7_xcmplx_0(B, F), k7_xcmplx_0(C, F), k7_xcmplx_0(D, F), k7_xcmplx_0(E, F)))  &  ~ (A=k8_polyeq_5(k7_xcmplx_0(B, F), k7_xcmplx_0(C, F), k7_xcmplx_0(D, F), k7_xcmplx_0(E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_polyeq_5, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  & v1_xcmplx_0(B))  => v1_xcmplx_0(k1_polyeq_5(A, B))) ) ).
fof(dt_k2_polyeq_5, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => v1_xcmplx_0(k2_polyeq_5(A, B, C))) ) ).
fof(dt_k3_polyeq_5, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => v1_xcmplx_0(k3_polyeq_5(A, B, C))) ) ).
fof(dt_k4_polyeq_5, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => v1_xcmplx_0(k4_polyeq_5(A, B, C))) ) ).
fof(dt_k5_polyeq_5, axiom,  (! [A, B, C, D] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) &  (v1_xcmplx_0(C) & v1_xcmplx_0(D)) ) )  => v1_xcmplx_0(k5_polyeq_5(A, B, C, D))) ) ).
fof(dt_k6_polyeq_5, axiom,  (! [A, B, C, D] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) &  (v1_xcmplx_0(C) & v1_xcmplx_0(D)) ) )  => v1_xcmplx_0(k6_polyeq_5(A, B, C, D))) ) ).
fof(dt_k7_polyeq_5, axiom,  (! [A, B, C, D] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) &  (v1_xcmplx_0(C) & v1_xcmplx_0(D)) ) )  => v1_xcmplx_0(k7_polyeq_5(A, B, C, D))) ) ).
fof(dt_k8_polyeq_5, axiom,  (! [A, B, C, D] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) &  (v1_xcmplx_0(C) & v1_xcmplx_0(D)) ) )  => v1_xcmplx_0(k8_polyeq_5(A, B, C, D))) ) ).
fof(rc1_polyform, axiom,  (? [A] :  (l1_polyform(A) & v1_polyform(A)) ) ).
fof(rc2_polyform, axiom,  (? [A] :  (l1_polyform(A) &  (v2_polyform(A) &  (v3_polyform(A) & v4_polyform(A)) ) ) ) ).
fof(fc1_polyform, axiom,  (! [A, B] :  ( ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  & v1_int_1(B))  =>  (v1_funct_1(k18_polyform(A, B)) &  (v1_funct_2(k18_polyform(A, B), u1_struct_0(k14_polyform(A, B)), u1_struct_0(k14_polyform(A, k6_xcmplx_0(B, 1)))) &  (v13_vectsp_1(k18_polyform(A, B), k14_polyform(A, B), k14_polyform(A, k6_xcmplx_0(B, 1))) & v1_mod_2(k18_polyform(A, B), k2_bspace, k14_polyform(A, B), k14_polyform(A, k6_xcmplx_0(B, 1)))) ) ) ) ) ).
fof(fc2_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  ( ~ (v1_xboole_0(k5_polyform(A, k6_xcmplx_0(k4_polyform(A), 1))))  & v1_finset_1(k5_polyform(A, k6_xcmplx_0(k4_polyform(A), 1)))) ) ) ).
fof(t1_polyform, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r2_hidden(B, A) & r2_hidden(C, A))  =>  ( (! [D] :  (! [E] :  ~ ( ( ~ (D=E)  & A=k2_tarski(D, E)) ) ) )  |  (B=C | A=k2_tarski(B, C)) ) ) ) ) ) ).
fof(t3_polyform, axiom,  (! [A] :  (v1_int_1(A) =>  (r1_xxreal_0(1, A) => v7_ordinal1(A)) ) ) ).
fof(t4_polyform, axiom,  ~ (v1_abian(1)) ).
fof(t5_polyform, axiom, v1_abian(2)).
fof(t6_polyform, axiom,  ~ (v1_abian(3)) ).
fof(t7_polyform, axiom, v1_abian(4)).
fof(t8_polyform, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_abian(A) => k1_newton(k4_xcmplx_0(1), A)=1) ) ) ).
fof(t9_polyform, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (v1_abian(A))  => k1_newton(k4_xcmplx_0(1), A)=k4_xcmplx_0(1)) ) ) ).
fof(t11_polyform, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  => r1_xxreal_0(k3_finseq_1(k7_finseq_1(A, B)), k3_finseq_1(k7_finseq_1(A, k7_finseq_1(B, C))))) ) ) ) ) ) ).
fof(t12_polyform, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ (r1_xxreal_0(k2_xcmplx_0(A, 2), 1)) ) ) ).
fof(t13_polyform, axiom, k1_newton(k4_xcmplx_0(1), 2)=1).
fof(t14_polyform, axiom,  (! [A] :  (v7_ordinal1(A) => k1_newton(k4_xcmplx_0(1), A)=k1_newton(k4_xcmplx_0(1), k2_xcmplx_0(A, 2))) ) ).
fof(t15_polyform, axiom,  (! [A] :  (m2_finseq_1(A, k4_numbers) =>  (! [B] :  (m2_finseq_1(B, k4_numbers) =>  (! [C] :  (m2_finseq_1(C, k4_numbers) =>  ( (k3_finseq_1(A)=k3_finseq_1(C) &  (k3_finseq_1(B)=k3_finseq_1(C) &  ( (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, k3_finseq_1(C)))  => k1_funct_1(C, D)=k2_xcmplx_0(k1_funct_1(A, D), k1_funct_1(B, D))) ) )  &  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(1, D) =>  (r1_xxreal_0(k3_finseq_1(C), D) | k1_funct_1(B, D)=k4_xcmplx_0(k1_funct_1(A, k2_xcmplx_0(D, 1)))) ) ) ) ) ) )  =>  (r1_xxreal_0(k3_finseq_1(C), k5_numbers) | k16_rvsum_1(C)=k2_xcmplx_0(k1_funct_1(A, 1), k1_funct_1(B, k3_finseq_1(C)))) ) ) ) ) ) ) ) ).
fof(t16_polyform, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  => k3_finseq_1(k7_finseq_1(k7_finseq_1(A, B), C))=k2_xcmplx_0(k2_xcmplx_0(k3_finseq_1(A), k3_finseq_1(B)), k3_finseq_1(C))) ) ) ) ) ) ).
fof(t17_polyform, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  => k1_funct_1(k7_finseq_1(k7_finseq_1(k9_finseq_1(A), B), C), 1)=A) ) ) ) ) ).
fof(t18_polyform, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  => k1_funct_1(k7_finseq_1(k7_finseq_1(B, C), k9_finseq_1(A)), k2_xcmplx_0(k2_xcmplx_0(k3_finseq_1(B), k3_finseq_1(C)), 1))=A) ) ) ) ) ).
fof(t19_polyform, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(D, k3_finseq_1(k7_finseq_1(A, B))) =>  (r1_xxreal_0(D, k3_finseq_1(A)) | k1_funct_1(k7_finseq_1(k7_finseq_1(A, B), C), D)=k1_funct_1(B, k6_xcmplx_0(D, k3_finseq_1(A)))) ) ) ) ) ) ) ) ) ) ).
fof(t20_polyform, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (m2_finseq_1(B, k4_numbers) => k16_rvsum_1(k8_finseq_1(k4_numbers, k1_polyform(A), B))=k2_xcmplx_0(A, k16_rvsum_1(B))) ) ) ) ).
fof(t21_polyform, axiom,  (! [A] :  (m2_finseq_1(A, k4_numbers) =>  (! [B] :  (m2_finseq_1(B, k4_numbers) =>  (! [C] :  (m2_finseq_1(C, k4_numbers) => k16_rvsum_1(k8_finseq_1(k4_numbers, k8_finseq_1(k4_numbers, A, B), C))=k2_xcmplx_0(k2_xcmplx_0(k16_rvsum_1(A), k16_rvsum_1(B)), k16_rvsum_1(C))) ) ) ) ) ) ).
fof(t22_polyform, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_bspace)) => k4_rlvect_1(k2_bspace, k3_pre_poly(u1_struct_0(k2_bspace), A))=A) ) ).
fof(t23_polyform, axiom,  (! [A] :  (! [B] : m2_funct_2(k8_funcop_1(u1_struct_0(k2_bspace), k2_zfmisc_1(A, B), k5_struct_0(k2_bspace)), k2_zfmisc_1(A, B), k2_tarski(k4_struct_0(k2_bspace), k5_struct_0(k2_bspace)), k9_funct_2(k2_zfmisc_1(A, B), k2_tarski(k4_struct_0(k2_bspace), k5_struct_0(k2_bspace))))) ) ).
fof(d1_polyform, axiom,  (! [A] :  (l1_polyform(A) =>  (v2_polyform(A) <=> k3_finseq_1(u2_polyform(A))=k6_xcmplx_0(k3_finseq_1(u1_polyform(A)), 1)) ) ) ).
fof(d2_polyform, axiom,  (! [A] :  (l1_polyform(A) =>  (v3_polyform(A) <=>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(1, B) =>  (r1_xxreal_0(k3_finseq_1(u1_polyform(A)), B) | m2_funct_2(k1_funct_1(u2_polyform(A), B), k2_zfmisc_1(k10_xtuple_0(k1_funct_1(u1_polyform(A), B)), k10_xtuple_0(k1_funct_1(u1_polyform(A), k2_xcmplx_0(B, 1)))), k2_tarski(k4_struct_0(k2_bspace), k5_struct_0(k2_bspace)), k9_funct_2(k2_zfmisc_1(k10_xtuple_0(k1_funct_1(u1_polyform(A), B)), k10_xtuple_0(k1_funct_1(u1_polyform(A), k2_xcmplx_0(B, 1)))), k2_tarski(k4_struct_0(k2_bspace), k5_struct_0(k2_bspace))))) ) ) ) ) ) ) ).
fof(d3_polyform, axiom,  (! [A] :  (l1_polyform(A) =>  (v4_polyform(A) <=>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(B, k3_finseq_1(u1_polyform(A))))  =>  ( ~ (v1_xboole_0(k1_funct_1(u1_polyform(A), B)))  & v2_funct_1(k1_funct_1(u1_polyform(A), B))) ) ) ) ) ) ) ).
fof(d4_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  => k4_polyform(A)=k3_finseq_1(u1_polyform(A))) ) ).
fof(d5_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_finset_1(C) =>  (C=k5_polyform(A, B) <=>  ( ( ~ (r1_xxreal_0(k4_xcmplx_0(1), B))  => C=k1_xboole_0)  &  ( (B=k4_xcmplx_0(1) => C=k1_tarski(k1_xboole_0))  &  ( ~ ( ( ~ (r1_xxreal_0(B, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(k4_polyform(A), B))  &  ~ (C=k10_xtuple_0(k1_funct_1(u1_polyform(A), k2_xcmplx_0(B, 1)))) ) ) )  &  ( (B=k4_polyform(A) => C=k1_tarski(A))  &  ( ~ (r1_xxreal_0(B, k4_polyform(A)))  => C=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(k4_polyform(A), B))  &  ~ ( (v7_ordinal1(k2_xcmplx_0(B, 1)) &  (r1_xxreal_0(1, k2_xcmplx_0(B, 1)) & r1_xxreal_0(k2_xcmplx_0(B, 1), k4_polyform(A))) ) ) ) ) ) ) ) ) ) ).
fof(t25_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) =>  ( ~ (v1_xboole_0(k5_polyform(A, B)))  <=>  (r1_xxreal_0(k4_xcmplx_0(1), B) & r1_xxreal_0(B, k4_polyform(A))) ) ) ) ) ) ).
fof(t26_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) =>  ~ ( ( ~ (r1_xxreal_0(k4_polyform(A), B))  & r1_xxreal_0(k4_polyform(A), k6_xcmplx_0(B, 1))) ) ) ) ) ) ).
fof(d6_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (m2_funct_2(C, k2_zfmisc_1(k5_polyform(A, k6_xcmplx_0(B, 1)), k5_polyform(A, B)), k2_tarski(k4_struct_0(k2_bspace), k5_struct_0(k2_bspace)), k9_funct_2(k2_zfmisc_1(k5_polyform(A, k6_xcmplx_0(B, 1)), k5_polyform(A, B)), k2_tarski(k4_struct_0(k2_bspace), k5_struct_0(k2_bspace)))) =>  (C=k6_polyform(A, B) <=>  ( ( ~ (r1_xxreal_0(k5_numbers, B))  => C=k1_xboole_0)  &  ( (B=k5_numbers => r1_funct_2(k2_zfmisc_1(k5_polyform(A, k6_xcmplx_0(B, 1)), k5_polyform(A, B)), k2_tarski(k4_struct_0(k2_bspace), k5_struct_0(k2_bspace)), k2_zfmisc_1(k1_tarski(k1_xboole_0), k5_polyform(A, k5_numbers)), u1_struct_0(k2_bspace), C, k8_funcop_1(u1_struct_0(k2_bspace), k2_zfmisc_1(k1_tarski(k1_xboole_0), k5_polyform(A, k5_numbers)), k5_struct_0(k2_bspace))))  &  ( ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  ( ~ (r1_xxreal_0(k4_polyform(A), B))  &  ~ (C=k1_funct_1(u2_polyform(A), B)) ) ) )  &  ( (B=k4_polyform(A) => r1_funct_2(k2_zfmisc_1(k5_polyform(A, k6_xcmplx_0(B, 1)), k5_polyform(A, B)), k2_tarski(k4_struct_0(k2_bspace), k5_struct_0(k2_bspace)), k2_zfmisc_1(k5_polyform(A, k6_xcmplx_0(k4_polyform(A), 1)), k1_tarski(A)), u1_struct_0(k2_bspace), C, k8_funcop_1(u1_struct_0(k2_bspace), k2_zfmisc_1(k5_polyform(A, k6_xcmplx_0(k4_polyform(A), 1)), k1_tarski(A)), k5_struct_0(k2_bspace))))  &  ( ~ (r1_xxreal_0(B, k4_polyform(A)))  => C=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (C=k7_polyform(A, B) <=>  ( ( ~ (r1_xxreal_0(k4_xcmplx_0(1), B))  => C=k2_pre_poly(k1_xboole_0))  &  ( (B=k4_xcmplx_0(1) => C=k1_polyform(k1_xboole_0))  &  ( ~ ( ( ~ (r1_xxreal_0(B, k4_xcmplx_0(1)))  &  ( ~ (r1_xxreal_0(k4_polyform(A), B))  &  ~ (C=k1_funct_1(u1_polyform(A), k2_xcmplx_0(B, 1))) ) ) )  &  ( (B=k4_polyform(A) => C=k9_finseq_1(A))  &  ( ~ (r1_xxreal_0(B, k4_polyform(A)))  => C=k2_pre_poly(k1_xboole_0)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) => k8_polyform(A, B)=k4_card_1(k5_polyform(A, B))) ) ) ) ).
fof(d9_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  => k9_polyform(A)=k8_polyform(A, k5_numbers)) ) ).
fof(d10_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  => k10_polyform(A)=k8_polyform(A, 1)) ) ).
fof(d11_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  => k11_polyform(A)=k8_polyform(A, 2)) ) ).
fof(t27_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) => k4_finseq_1(k7_polyform(A, B))=k2_finseq_1(k8_polyform(A, B))) ) ) ) ).
fof(t28_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) => k3_finseq_1(k7_polyform(A, B))=k8_polyform(A, B)) ) ) ) ).
fof(t29_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) => k10_xtuple_0(k7_polyform(A, B))=k5_polyform(A, B)) ) ) ) ).
fof(t30_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  => k8_polyform(A, k4_xcmplx_0(1))=1) ) ).
fof(t31_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  => k8_polyform(A, k4_polyform(A))=1) ) ).
fof(d12_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, k8_polyform(A, B)))  => k12_polyform(A, B, C)=k1_funct_1(k7_polyform(A, B), C)) ) ) ) ) ) ) ).
fof(t32_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) =>  ( (r1_xxreal_0(k4_xcmplx_0(1), B) & r1_xxreal_0(B, k4_polyform(A)))  =>  (! [C] :  (m1_subset_1(C, k5_polyform(A, B)) =>  (? [D] :  (v7_ordinal1(D) &  (C=k12_polyform(A, B, D) &  (r1_xxreal_0(1, D) & r1_xxreal_0(D, k8_polyform(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) => v2_funct_1(k7_polyform(A, B))) ) ) ) ).
fof(t34_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k8_polyform(A, B)) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k8_polyform(A, B)) & k12_polyform(A, B, D)=k12_polyform(A, B, C)) ) ) )  => C=D) ) ) ) ) ) ) ) ) ).
fof(d13_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (m1_subset_1(C, k5_polyform(A, k6_xcmplx_0(B, 1))) =>  (! [D] :  (m1_subset_1(D, k5_polyform(A, B)) =>  ( (r1_xxreal_0(k5_numbers, B) & r1_xxreal_0(B, k4_polyform(A)))  => k13_polyform(A, B, C, D)=k1_binop_1(k6_polyform(A, B), C, D)) ) ) ) ) ) ) ) ) ).
fof(d14_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) => k14_polyform(A, B)=k7_bspace(k5_polyform(A, B))) ) ) ) ).
fof(t35_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (m1_subset_1(C, k5_polyform(A, B)) => k3_bspace(k4_struct_0(k14_polyform(A, B)), C)=k4_struct_0(k2_bspace)) ) ) ) ) ) ).
fof(t36_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) => k8_polyform(A, B)=k1_vectsp_9(k2_bspace, k14_polyform(A, B))) ) ) ) ).
fof(d15_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) => k15_polyform(A, B)=k1_zfmisc_1(k5_polyform(A, B))) ) ) ) ).
fof(d16_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (m1_subset_1(C, k5_polyform(A, k6_xcmplx_0(B, 1))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_polyform(A, B))) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(k2_bspace)) =>  (E=k16_polyform(A, B, C, D) <=>  ( (v1_xboole_0(k5_polyform(A, k6_xcmplx_0(B, 1))) => E=k2_pre_poly(k1_xboole_0))  &  ( ~ (v1_xboole_0(k5_polyform(A, k6_xcmplx_0(B, 1))))  =>  (k3_finseq_1(E)=k8_polyform(A, B) &  (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(1, F) & r1_xxreal_0(F, k8_polyform(A, B)))  => k1_funct_1(E, F)=k8_group_1(k2_bspace, k3_bspace(D, k12_polyform(A, B, F)), k13_polyform(A, B, C, k12_polyform(A, B, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_polyform(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_polyform(A, B))) =>  (! [E] :  (m1_subset_1(E, k5_polyform(A, B)) => k3_bspace(k3_rlvect_1(k14_polyform(A, B), C, D), E)=k3_rlvect_1(k2_bspace, k3_bspace(C, E), k3_bspace(D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t38_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_polyform(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_polyform(A, B))) =>  (! [E] :  (m1_subset_1(E, k5_polyform(A, k6_xcmplx_0(B, 1))) => k16_polyform(A, B, E, k3_rlvect_1(k14_polyform(A, B), C, D))=k3_fvsum_1(k2_bspace, k16_polyform(A, B, E, C), k16_polyform(A, B, E, D))) ) ) ) ) ) ) ) ) ) ).
fof(t39_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_polyform(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_polyform(A, B))) =>  (! [E] :  (m1_subset_1(E, k5_polyform(A, k6_xcmplx_0(B, 1))) => k4_rlvect_1(k2_bspace, k3_fvsum_1(k2_bspace, k16_polyform(A, B, E, C), k16_polyform(A, B, E, D)))=k3_rlvect_1(k2_bspace, k4_rlvect_1(k2_bspace, k16_polyform(A, B, E, C)), k4_rlvect_1(k2_bspace, k16_polyform(A, B, E, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t40_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_polyform(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_polyform(A, B))) =>  (! [E] :  (m1_subset_1(E, k5_polyform(A, k6_xcmplx_0(B, 1))) => k4_rlvect_1(k2_bspace, k16_polyform(A, B, E, k3_rlvect_1(k14_polyform(A, B), C, D)))=k3_rlvect_1(k2_bspace, k4_rlvect_1(k2_bspace, k16_polyform(A, B, E, C)), k4_rlvect_1(k2_bspace, k16_polyform(A, B, E, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t41_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_polyform(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_bspace)) =>  (! [E] :  (m1_subset_1(E, k5_polyform(A, B)) => k3_bspace(k3_vectsp_1(k2_bspace, k14_polyform(A, B), D, C), E)=k8_group_1(k2_bspace, D, k3_bspace(C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t42_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_polyform(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_bspace)) =>  (! [E] :  (m1_subset_1(E, k5_polyform(A, k6_xcmplx_0(B, 1))) => k16_polyform(A, B, E, k3_vectsp_1(k2_bspace, k14_polyform(A, B), D, C))=k9_fvsum_1(k2_bspace, k16_polyform(A, B, E, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(t43_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_polyform(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_polyform(A, B))) =>  (C=D <=>  (! [E] :  (m1_subset_1(E, k5_polyform(A, B)) => k3_bspace(C, E)=k3_bspace(D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_polyform(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_polyform(A, B))) =>  (C=D <=>  (! [E] :  (m1_subset_1(E, k5_polyform(A, B)) =>  (r2_tarski(E, C) <=> r2_tarski(E, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_polyform(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_polyform(A, k6_xcmplx_0(B, 1)))) =>  (D=k17_polyform(A, B, C) <=>  ( (v1_xboole_0(k5_polyform(A, k6_xcmplx_0(B, 1))) => D=k4_struct_0(k14_polyform(A, k6_xcmplx_0(B, 1))))  &  ( ~ (v1_xboole_0(k5_polyform(A, k6_xcmplx_0(B, 1))))  =>  (! [E] :  (m1_subset_1(E, k5_polyform(A, k6_xcmplx_0(B, 1))) =>  (r2_tarski(E, D) <=> k4_rlvect_1(k2_bspace, k16_polyform(A, B, E, C))=k5_struct_0(k2_bspace)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_polyform(A, B))) =>  (! [D] :  (m1_subset_1(D, k5_polyform(A, k6_xcmplx_0(B, 1))) => k3_bspace(k17_polyform(A, B, C), D)=k4_rlvect_1(k2_bspace, k16_polyform(A, B, D, C))) ) ) ) ) ) ) ) ).
fof(d18_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k14_polyform(A, B)), u1_struct_0(k14_polyform(A, k6_xcmplx_0(B, 1)))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_polyform(A, B)), u1_struct_0(k14_polyform(A, k6_xcmplx_0(B, 1))))))) )  =>  (C=k18_polyform(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_polyform(A, B))) => k3_funct_2(u1_struct_0(k14_polyform(A, B)), u1_struct_0(k14_polyform(A, k6_xcmplx_0(B, 1))), C, D)=k17_polyform(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t46_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_polyform(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_polyform(A, B))) => k17_polyform(A, B, k3_rlvect_1(k14_polyform(A, B), C, D))=k3_rlvect_1(k14_polyform(A, k6_xcmplx_0(B, 1)), k17_polyform(A, B, C), k17_polyform(A, B, D))) ) ) ) ) ) ) ) ).
fof(t47_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_bspace)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_polyform(A, B))) => k17_polyform(A, B, k3_vectsp_1(k2_bspace, k14_polyform(A, B), C, D))=k3_vectsp_1(k2_bspace, k14_polyform(A, k6_xcmplx_0(B, 1)), C, k17_polyform(A, B, D))) ) ) ) ) ) ) ) ).
fof(t48_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) =>  (v1_funct_1(k18_polyform(A, B)) &  (v1_funct_2(k18_polyform(A, B), u1_struct_0(k14_polyform(A, B)), u1_struct_0(k14_polyform(A, k6_xcmplx_0(B, 1)))) &  (v13_vectsp_1(k18_polyform(A, B), k14_polyform(A, B), k14_polyform(A, k6_xcmplx_0(B, 1))) &  (v1_mod_2(k18_polyform(A, B), k2_bspace, k14_polyform(A, B), k14_polyform(A, k6_xcmplx_0(B, 1))) & m1_subset_1(k18_polyform(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_polyform(A, B)), u1_struct_0(k14_polyform(A, k6_xcmplx_0(B, 1))))))) ) ) ) ) ) ) ) ).
fof(d19_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) => k19_polyform(A, B)=k1_ranknull(k2_bspace, k14_polyform(A, B), k14_polyform(A, k6_xcmplx_0(B, 1)), k18_polyform(A, B))) ) ) ) ).
fof(d20_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) => k20_polyform(A, B)=k2_struct_0(k19_polyform(A, B))) ) ) ) ).
fof(d21_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) => k21_polyform(A, B)=k3_ranknull(k2_bspace, k14_polyform(A, k2_xcmplx_0(B, 1)), k14_polyform(A, k6_xcmplx_0(k2_xcmplx_0(B, 1), 1)), k18_polyform(A, k2_xcmplx_0(B, 1)))) ) ) ) ).
fof(d22_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) => k22_polyform(A, B)=k2_struct_0(k21_polyform(A, B))) ) ) ) ).
fof(d23_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) => k23_polyform(A, B)=k2_vectsp_5(k2_bspace, k14_polyform(A, B), k21_polyform(A, B), k19_polyform(A, B))) ) ) ) ).
fof(d24_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) => k24_polyform(A, B)=k2_struct_0(k23_polyform(A, B))) ) ) ) ).
fof(t49_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) => k1_vectsp_9(k2_bspace, k14_polyform(A, B))=k2_xcmplx_0(k10_ranknull(k2_bspace, k14_polyform(A, B), k14_polyform(A, k6_xcmplx_0(B, 1)), k18_polyform(A, B)), k11_ranknull(k2_bspace, k14_polyform(A, B), k14_polyform(A, k6_xcmplx_0(B, 1)), k18_polyform(A, B)))) ) ) ) ).
fof(d25_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (v5_polyform(A) <=>  (! [B] :  (v1_int_1(B) => k20_polyform(A, B)=k22_polyform(A, B)) ) ) ) ) ).
fof(t50_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (v5_polyform(A) <=>  (! [B] :  (v1_int_1(B) => k19_polyform(A, B)=k21_polyform(A, B)) ) ) ) ) ).
fof(d26_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (m2_finseq_1(B, k4_numbers) =>  (B=k25_polyform(A) <=>  (k3_finseq_1(B)=k2_xcmplx_0(k4_polyform(A), 2) &  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, k2_xcmplx_0(k4_polyform(A), 2)))  => k1_funct_1(B, C)=k3_xcmplx_0(k1_newton(k4_xcmplx_0(1), C), k8_polyform(A, k6_xcmplx_0(C, 2)))) ) ) ) ) ) ) ) ) ).
fof(d27_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (m2_finseq_1(B, k4_numbers) =>  (B=k26_polyform(A) <=>  (k3_finseq_1(B)=k4_polyform(A) &  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, k4_polyform(A)))  => k1_funct_1(B, C)=k3_xcmplx_0(k1_newton(k4_xcmplx_0(1), k2_xcmplx_0(C, 1)), k8_polyform(A, k6_xcmplx_0(C, 1)))) ) ) ) ) ) ) ) ) ).
fof(d28_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (m2_finseq_1(B, k4_numbers) =>  (B=k27_polyform(A) <=>  (k3_finseq_1(B)=k2_xcmplx_0(k4_polyform(A), 1) &  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, k2_xcmplx_0(k4_polyform(A), 1)))  => k1_funct_1(B, C)=k3_xcmplx_0(k1_newton(k4_xcmplx_0(1), k2_xcmplx_0(C, 1)), k8_polyform(A, k6_xcmplx_0(C, 1)))) ) ) ) ) ) ) ) ) ).
fof(t51_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(B, k3_finseq_1(k26_polyform(A))))  => k1_funct_1(k26_polyform(A), B)=k2_xcmplx_0(k3_xcmplx_0(k1_newton(k4_xcmplx_0(1), k2_xcmplx_0(B, 1)), k1_vectsp_9(k2_bspace, k21_polyform(A, k6_xcmplx_0(B, 2)))), k3_xcmplx_0(k1_newton(k4_xcmplx_0(1), k2_xcmplx_0(B, 1)), k1_vectsp_9(k2_bspace, k19_polyform(A, k6_xcmplx_0(B, 1)))))) ) ) ) ) ).
fof(d29_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (v6_polyform(A) <=> k16_rvsum_1(k26_polyform(A))=k2_xcmplx_0(1, k1_newton(k4_xcmplx_0(1), k2_xcmplx_0(k4_polyform(A), 1)))) ) ) ).
fof(t52_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  => k27_polyform(A)=k8_finseq_1(k4_numbers, k26_polyform(A), k1_polyform(k1_newton(k4_xcmplx_0(1), k4_polyform(A))))) ) ).
fof(d30_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (v6_polyform(A) <=> k16_rvsum_1(k27_polyform(A))=1) ) ) ).
fof(t53_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  => k25_polyform(A)=k8_finseq_1(k4_numbers, k1_polyform(k4_xcmplx_0(1)), k27_polyform(A))) ) ).
fof(d31_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (v6_polyform(A) <=> k16_rvsum_1(k25_polyform(A))=k5_numbers) ) ) ).
fof(t54_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  ~ (v1_xboole_0(k5_polyform(A, k5_numbers))) ) ) ).
fof(t55_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  => k1_card_1(k2_struct_0(k14_polyform(A, k4_xcmplx_0(1))))=2) ) ).
fof(t56_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  => k2_struct_0(k14_polyform(A, k4_xcmplx_0(1)))=k2_tarski(k1_xboole_0, k1_tarski(k1_xboole_0))) ) ).
fof(t57_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (m1_subset_1(C, k5_polyform(A, B)) =>  (! [D] :  (m1_subset_1(D, k5_polyform(A, k6_xcmplx_0(B, 1))) =>  ( (B=k5_numbers & D=k1_xboole_0)  => k13_polyform(A, B, D, C)=k5_struct_0(k2_bspace)) ) ) ) ) ) ) ) ) ).
fof(t58_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (m1_subset_1(C, k5_polyform(A, B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_polyform(A, B))) =>  (! [E] :  (m1_subset_1(E, k5_polyform(A, k6_xcmplx_0(B, 1))) =>  (! [F] :  (v7_ordinal1(F) =>  ( (B=k5_numbers &  (D=k1_tarski(C) &  (E=k1_xboole_0 &  (C=k12_polyform(A, B, F) &  (r1_xxreal_0(1, F) & r1_xxreal_0(F, k8_polyform(A, B))) ) ) ) )  => k1_funct_1(k16_polyform(A, B, E, D), F)=k5_struct_0(k2_bspace)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (m1_subset_1(C, k5_polyform(A, B)) =>  (! [D] :  (m1_subset_1(D, k5_polyform(A, k6_xcmplx_0(B, 1))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k14_polyform(A, B))) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ( (B=k5_numbers &  (E=k1_tarski(C) &  (C=k12_polyform(A, B, G) &  (r1_xxreal_0(1, F) &  (r1_xxreal_0(F, k8_polyform(A, B)) &  (r1_xxreal_0(1, G) & r1_xxreal_0(G, k8_polyform(A, B))) ) ) ) ) )  =>  (F=G | k1_funct_1(k16_polyform(A, B, D, E), F)=k4_struct_0(k2_bspace)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (m1_subset_1(C, k5_polyform(A, B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_polyform(A, B))) =>  (! [E] :  (m1_subset_1(E, k5_polyform(A, k6_xcmplx_0(B, 1))) =>  ( (B=k5_numbers &  (D=k1_tarski(C) & E=k1_xboole_0) )  => k4_rlvect_1(k2_bspace, k16_polyform(A, B, E, D))=k5_struct_0(k2_bspace)) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k5_polyform(A, k5_numbers)) => k1_funct_1(k18_polyform(A, k5_numbers), k1_tarski(B))=k1_tarski(k1_xboole_0)) ) ) ) ).
fof(t62_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v1_int_1(B) =>  (B=k4_xcmplx_0(1) => k1_vectsp_9(k2_bspace, k21_polyform(A, B))=1) ) ) ) ) ).
fof(t63_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  => k1_card_1(k2_struct_0(k14_polyform(A, k4_polyform(A))))=2) ) ).
fof(t64_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  => m1_subset_1(k1_tarski(A), u1_struct_0(k14_polyform(A, k4_polyform(A))))) ) ).
fof(t65_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  => r2_tarski(k1_tarski(A), k2_struct_0(k14_polyform(A, k4_polyform(A))))) ) ).
fof(t66_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  ~ (v1_xboole_0(k5_polyform(A, k6_xcmplx_0(k4_polyform(A), 1)))) ) ) ).
fof(t67_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  => k2_struct_0(k14_polyform(A, k4_polyform(A)))=k2_tarski(k4_struct_0(k14_polyform(A, k4_polyform(A))), k1_tarski(A))) ) ).
fof(t68_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k14_polyform(A, k4_polyform(A)))) =>  (B=k4_struct_0(k14_polyform(A, k4_polyform(A))) | B=k1_tarski(A)) ) ) ) ) ).
fof(t69_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k14_polyform(A, k4_polyform(A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_polyform(A, k4_polyform(A)))) =>  ~ ( ( ~ (B=C)  &  ( ~ (B=k4_struct_0(k14_polyform(A, k4_polyform(A))))  &  ~ (C=k4_struct_0(k14_polyform(A, k4_polyform(A)))) ) ) ) ) ) ) ) ) ) ).
fof(t70_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  => k7_polyform(A, k4_polyform(A))=k9_finseq_1(A)) ) ).
fof(t71_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  => k12_polyform(A, k4_polyform(A), 1)=A) ) ).
fof(t72_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k14_polyform(A, k4_polyform(A)))) =>  (! [C] :  (m1_subset_1(C, k5_polyform(A, k4_polyform(A))) =>  (B=k1_tarski(A) => k3_bspace(B, C)=k5_struct_0(k2_bspace)) ) ) ) ) ) ) ).
fof(t73_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k5_polyform(A, k6_xcmplx_0(k4_polyform(A), 1))) =>  (! [C] :  (m1_subset_1(C, k5_polyform(A, k4_polyform(A))) =>  (C=A => k13_polyform(A, k4_polyform(A), B, C)=k5_struct_0(k2_bspace)) ) ) ) ) ) ) ).
fof(t74_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k5_polyform(A, k6_xcmplx_0(k4_polyform(A), 1))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_polyform(A, k4_polyform(A)))) =>  (C=k1_tarski(A) => k16_polyform(A, k4_polyform(A), B, C)=k3_pre_poly(u1_struct_0(k2_bspace), k5_struct_0(k2_bspace))) ) ) ) ) ) ) ).
fof(t75_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k5_polyform(A, k6_xcmplx_0(k4_polyform(A), 1))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_polyform(A, k4_polyform(A)))) =>  (C=k1_tarski(A) => k4_rlvect_1(k2_bspace, k16_polyform(A, k4_polyform(A), B, C))=k5_struct_0(k2_bspace)) ) ) ) ) ) ) ).
fof(t76_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  => k1_funct_1(k18_polyform(A, k4_polyform(A)), k1_tarski(A))=k5_polyform(A, k6_xcmplx_0(k4_polyform(A), 1))) ) ).
fof(t77_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  => v2_funct_1(k18_polyform(A, k4_polyform(A)))) ) ).
fof(t78_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  => k1_vectsp_9(k2_bspace, k21_polyform(A, k6_xcmplx_0(k4_polyform(A), 1)))=1) ) ).
fof(t79_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (v5_polyform(A) => k1_vectsp_9(k2_bspace, k19_polyform(A, k6_xcmplx_0(k4_polyform(A), 1)))=1) ) ) ).
fof(t80_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(B, 1))  &  ( ~ (r1_xxreal_0(k2_xcmplx_0(k4_polyform(A), 2), B))  &  ~ (k1_funct_1(k25_polyform(A), B)=k1_funct_1(k26_polyform(A), k6_xcmplx_0(B, 1))) ) ) ) ) ) ) ) ).
fof(t81_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  => k25_polyform(A)=k8_finseq_1(k4_numbers, k8_finseq_1(k4_numbers, k1_polyform(k4_xcmplx_0(1)), k26_polyform(A)), k1_polyform(k1_newton(k4_xcmplx_0(1), k4_polyform(A))))) ) ).
fof(t82_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  ( ~ (v1_abian(k4_polyform(A)))  => k16_rvsum_1(k25_polyform(A))=k6_xcmplx_0(k16_rvsum_1(k26_polyform(A)), 2)) ) ) ).
fof(t83_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (v1_abian(k4_polyform(A)) => k16_rvsum_1(k25_polyform(A))=k16_rvsum_1(k26_polyform(A))) ) ) ).
fof(t84_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (k4_polyform(A)=1 => k16_rvsum_1(k26_polyform(A))=k8_polyform(A, k5_numbers)) ) ) ).
fof(t85_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (k4_polyform(A)=2 => k16_rvsum_1(k26_polyform(A))=k6_xcmplx_0(k8_polyform(A, k5_numbers), k8_polyform(A, 1))) ) ) ).
fof(t86_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (k4_polyform(A)=3 => k16_rvsum_1(k26_polyform(A))=k2_xcmplx_0(k6_xcmplx_0(k8_polyform(A, k5_numbers), k8_polyform(A, 1)), k8_polyform(A, 2))) ) ) ).
fof(t87_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (k4_polyform(A)=k5_numbers => v6_polyform(A)) ) ) ).
fof(t88_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  (v5_polyform(A) => v6_polyform(A)) ) ) ).
fof(t89_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  ( (v5_polyform(A) & k4_polyform(A)=1)  => k9_polyform(A)=2) ) ) ).
fof(t90_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  ( (v5_polyform(A) & k4_polyform(A)=2)  => k9_polyform(A)=k10_polyform(A)) ) ) ).
fof(t91_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  =>  ( (v5_polyform(A) & k4_polyform(A)=3)  => k2_xcmplx_0(k6_xcmplx_0(k9_polyform(A), k10_polyform(A)), k11_polyform(A))=2) ) ) ).
fof(s1_polyform, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k5_polyform(f1_s1_polyform, f2_s1_polyform))) &  (! [B] :  (m1_subset_1(B, k5_polyform(f1_s1_polyform, f2_s1_polyform)) =>  (r2_tarski(B, A) <=>  (p1_s1_polyform(B) & r2_tarski(B, k5_polyform(f1_s1_polyform, f2_s1_polyform))) ) ) ) ) ) ).
fof(dt_k1_polyform, axiom,  (! [A] :  (v1_int_1(A) => m2_finseq_1(k1_polyform(A), k4_numbers)) ) ).
fof(redefinition_k1_polyform, axiom,  (! [A] :  (v1_int_1(A) => k1_polyform(A)=k5_finseq_1(A)) ) ).
fof(dt_k2_polyform, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => m2_finseq_1(k2_polyform(A, B), k4_numbers)) ) ).
fof(redefinition_k2_polyform, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => k2_polyform(A, B)=k10_finseq_1(A, B)) ) ).
fof(dt_k3_polyform, axiom,  (! [A, B, C] :  ( (v1_int_1(A) &  (v1_int_1(B) & v1_int_1(C)) )  => m2_finseq_1(k3_polyform(A, B, C), k4_numbers)) ) ).
fof(redefinition_k3_polyform, axiom,  (! [A, B, C] :  ( (v1_int_1(A) &  (v1_int_1(B) & v1_int_1(C)) )  => k3_polyform(A, B, C)=k11_finseq_1(A, B, C)) ) ).
fof(abstractness_v1_polyform, axiom,  (! [A] :  (l1_polyform(A) =>  (v1_polyform(A) => A=g1_polyform(u1_polyform(A), u2_polyform(A))) ) ) ).
fof(existence_l1_polyform, axiom,  (? [A] : l1_polyform(A)) ).
fof(dt_g1_polyform, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_pre_poly(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_funcop_1(B)) ) ) )  =>  (v1_polyform(g1_polyform(A, B)) & l1_polyform(g1_polyform(A, B))) ) ) ).
fof(free_g1_polyform, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_pre_poly(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_funcop_1(B)) ) ) )  =>  (! [C, D] :  (g1_polyform(A, B)=g1_polyform(C, D) =>  (A=C & B=D) ) ) ) ) ).
fof(dt_u1_polyform, axiom,  (! [A] :  (l1_polyform(A) =>  (v1_relat_1(u1_polyform(A)) &  (v1_funct_1(u1_polyform(A)) &  (v1_finseq_1(u1_polyform(A)) & v1_pre_poly(u1_polyform(A))) ) ) ) ) ).
fof(dt_u2_polyform, axiom,  (! [A] :  (l1_polyform(A) =>  (v1_relat_1(u2_polyform(A)) &  (v1_funct_1(u2_polyform(A)) &  (v1_finseq_1(u2_polyform(A)) & v1_funcop_1(u2_polyform(A))) ) ) ) ) ).
fof(dt_k4_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  => m1_subset_1(k4_polyform(A), k4_ordinal1)) ) ).
fof(dt_k5_polyform, axiom,  (! [A, B] :  ( ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  & v1_int_1(B))  => v1_finset_1(k5_polyform(A, B))) ) ).
fof(dt_k6_polyform, axiom,  (! [A, B] :  ( ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  & v1_int_1(B))  => m2_funct_2(k6_polyform(A, B), k2_zfmisc_1(k5_polyform(A, k6_xcmplx_0(B, 1)), k5_polyform(A, B)), k2_tarski(k4_struct_0(k2_bspace), k5_struct_0(k2_bspace)), k9_funct_2(k2_zfmisc_1(k5_polyform(A, k6_xcmplx_0(B, 1)), k5_polyform(A, B)), k2_tarski(k4_struct_0(k2_bspace), k5_struct_0(k2_bspace))))) ) ).
fof(dt_k7_polyform, axiom,  (! [A, B] :  ( ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  & v1_int_1(B))  =>  (v1_relat_1(k7_polyform(A, B)) &  (v1_funct_1(k7_polyform(A, B)) & v1_finseq_1(k7_polyform(A, B))) ) ) ) ).
fof(dt_k8_polyform, axiom,  (! [A, B] :  ( ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  & v1_int_1(B))  => m1_subset_1(k8_polyform(A, B), k4_ordinal1)) ) ).
fof(dt_k9_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  => m1_subset_1(k9_polyform(A), k4_ordinal1)) ) ).
fof(dt_k10_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  => m1_subset_1(k10_polyform(A), k4_ordinal1)) ) ).
fof(dt_k11_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  => m1_subset_1(k11_polyform(A), k4_ordinal1)) ) ).
fof(dt_k12_polyform, axiom,  (! [A, B, C] :  ( ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  &  (v1_int_1(B) & v7_ordinal1(C)) )  => m1_subset_1(k12_polyform(A, B, C), k5_polyform(A, B))) ) ).
fof(dt_k13_polyform, axiom,  (! [A, B, C, D] :  ( ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  &  (v1_int_1(B) &  (m1_subset_1(C, k5_polyform(A, k6_xcmplx_0(B, 1))) & m1_subset_1(D, k5_polyform(A, B))) ) )  => m1_subset_1(k13_polyform(A, B, C, D), u1_struct_0(k2_bspace))) ) ).
fof(dt_k14_polyform, axiom,  (! [A, B] :  ( ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  & v1_int_1(B))  =>  ( ~ (v2_struct_0(k14_polyform(A, B)))  &  (v13_algstr_0(k14_polyform(A, B)) &  (v8_vectsp_1(k14_polyform(A, B), k2_bspace) &  (v9_vectsp_1(k14_polyform(A, B), k2_bspace) &  (v10_vectsp_1(k14_polyform(A, B), k2_bspace) &  (v11_vectsp_1(k14_polyform(A, B), k2_bspace) &  (v2_rlvect_1(k14_polyform(A, B)) &  (v3_rlvect_1(k14_polyform(A, B)) &  (v4_rlvect_1(k14_polyform(A, B)) &  (v1_matrlin(k14_polyform(A, B), k2_bspace) & l1_vectsp_1(k14_polyform(A, B), k2_bspace)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k15_polyform, axiom,  (! [A, B] :  ( ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  & v1_int_1(B))  =>  ( ~ (v1_xboole_0(k15_polyform(A, B)))  & v1_finset_1(k15_polyform(A, B))) ) ) ).
fof(dt_k16_polyform, axiom,  (! [A, B, C, D] :  ( ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  &  (v1_int_1(B) &  (m1_subset_1(C, k5_polyform(A, k6_xcmplx_0(B, 1))) & m1_subset_1(D, u1_struct_0(k14_polyform(A, B)))) ) )  => m2_finseq_1(k16_polyform(A, B, C, D), u1_struct_0(k2_bspace))) ) ).
fof(dt_f1_s1_polyform, axiom,  (v2_polyform(f1_s1_polyform) &  (v3_polyform(f1_s1_polyform) &  (v4_polyform(f1_s1_polyform) & l1_polyform(f1_s1_polyform)) ) ) ).
fof(dt_f2_s1_polyform, axiom, v1_int_1(f2_s1_polyform)).
fof(dt_k17_polyform, axiom,  (! [A, B, C] :  ( ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  &  (v1_int_1(B) & m1_subset_1(C, u1_struct_0(k14_polyform(A, B)))) )  => m1_subset_1(k17_polyform(A, B, C), u1_struct_0(k14_polyform(A, k6_xcmplx_0(B, 1))))) ) ).
fof(dt_k18_polyform, axiom,  (! [A, B] :  ( ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  & v1_int_1(B))  =>  (v1_funct_1(k18_polyform(A, B)) &  (v1_funct_2(k18_polyform(A, B), u1_struct_0(k14_polyform(A, B)), u1_struct_0(k14_polyform(A, k6_xcmplx_0(B, 1)))) & m1_subset_1(k18_polyform(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_polyform(A, B)), u1_struct_0(k14_polyform(A, k6_xcmplx_0(B, 1))))))) ) ) ) ).
fof(dt_k19_polyform, axiom,  (! [A, B] :  ( ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  & v1_int_1(B))  => m1_vectsp_4(k19_polyform(A, B), k2_bspace, k14_polyform(A, B))) ) ).
fof(dt_k20_polyform, axiom,  (! [A, B] :  ( ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  & v1_int_1(B))  =>  ( ~ (v1_xboole_0(k20_polyform(A, B)))  & m1_subset_1(k20_polyform(A, B), k1_zfmisc_1(k15_polyform(A, B)))) ) ) ).
fof(dt_k21_polyform, axiom,  (! [A, B] :  ( ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  & v1_int_1(B))  => m1_vectsp_4(k21_polyform(A, B), k2_bspace, k14_polyform(A, B))) ) ).
fof(dt_k22_polyform, axiom,  (! [A, B] :  ( ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  & v1_int_1(B))  =>  ( ~ (v1_xboole_0(k22_polyform(A, B)))  & m1_subset_1(k22_polyform(A, B), k1_zfmisc_1(k15_polyform(A, B)))) ) ) ).
fof(dt_k23_polyform, axiom,  (! [A, B] :  ( ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  & v1_int_1(B))  => m1_vectsp_4(k23_polyform(A, B), k2_bspace, k14_polyform(A, B))) ) ).
fof(dt_k24_polyform, axiom,  (! [A, B] :  ( ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  & v1_int_1(B))  =>  ( ~ (v1_xboole_0(k24_polyform(A, B)))  & m1_subset_1(k24_polyform(A, B), k1_zfmisc_1(k15_polyform(A, B)))) ) ) ).
fof(dt_k25_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  => m2_finseq_1(k25_polyform(A), k4_numbers)) ) ).
fof(dt_k26_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  => m2_finseq_1(k26_polyform(A), k4_numbers)) ) ).
fof(dt_k27_polyform, axiom,  (! [A] :  ( (v2_polyform(A) &  (v3_polyform(A) &  (v4_polyform(A) & l1_polyform(A)) ) )  => m2_finseq_1(k27_polyform(A), k4_numbers)) ) ).
fof(cc1_polynom1, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v6_struct_0(A) &  (v13_algstr_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_rlvect_1(A) & v4_rlvect_1(A)) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v7_struct_0(A) &  (v13_algstr_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_rlvect_1(A) & v4_rlvect_1(A)) ) ) ) ) ) ) ) ) ).
fof(cc2_polynom1, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_rlvect_1(A) & v4_rlvect_1(A)) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_rlvect_1(A) & v4_rlvect_1(A)) ) ) ) ) ) ) ) ) ).
fof(rc1_polynom1, axiom,  (? [A] :  (l5_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  (v29_algstr_0(A) & v3_vectsp_1(A)) ) ) ) ).
fof(rc2_polynom1, axiom,  (? [A] :  (l6_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v36_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & v5_group_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_polynom1, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B)))) &  (v1_relat_1(C) &  (v4_relat_1(C, k15_pre_poly(A)) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v1_partfun1(C, k15_pre_poly(A)) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & v1_polynom1(C, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_polynom1, axiom,  (! [A, B, C, D] :  ( (v3_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  (v4_rlvect_1(B) & l2_algstr_0(B)) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) ) ) )  =>  (v1_funct_1(k5_polynom1(A, B, C, D)) &  (v1_funct_2(k5_polynom1(A, B, C, D), k15_pre_poly(A), u1_struct_0(B)) & v1_polynom1(k5_polynom1(A, B, C, D), B)) ) ) ) ).
fof(fc2_polynom1, axiom,  (! [A, B, C] :  ( (v3_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) ) )  =>  (v1_funct_1(k5_vfunct_1(k15_pre_poly(A), B, C)) & v1_polynom1(k5_vfunct_1(k15_pre_poly(A), B, C), B)) ) ) ).
fof(fc3_polynom1, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, k4_ordinal1) &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) ) ) )  =>  (v1_funct_1(k7_polynom1(A, B, C, D)) &  (v1_funct_2(k7_polynom1(A, B, C, D), k15_pre_poly(A), u1_struct_0(B)) & v1_polynom1(k7_polynom1(A, B, C, D), B)) ) ) ) ).
fof(fc4_polynom1, axiom,  (! [A, B] :  ( (v3_ordinal1(A) &  ( ~ (v2_struct_0(B))  & l2_struct_0(B)) )  =>  (v1_funct_1(k8_polynom1(A, B)) &  (v1_funct_2(k8_polynom1(A, B), k15_pre_poly(A), u1_struct_0(B)) & v1_polynom1(k8_polynom1(A, B), B)) ) ) ) ).
fof(fc5_polynom1, axiom,  (! [A, B] :  ( (v3_ordinal1(A) &  ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v1_vectsp_1(B) &  (v3_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) )  =>  (v1_funct_1(k9_polynom1(A, B)) &  (v1_funct_2(k9_polynom1(A, B), k15_pre_poly(A), u1_struct_0(B)) & v1_polynom1(k9_polynom1(A, B), B)) ) ) ) ).
fof(fc6_polynom1, axiom,  (! [A, B, C, D] :  ( (v3_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) ) ) )  =>  (v1_funct_1(k10_polynom1(A, B, C, D)) &  (v1_funct_2(k10_polynom1(A, B, C, D), k15_pre_poly(A), u1_struct_0(B)) & v1_polynom1(k10_polynom1(A, B, C, D), B)) ) ) ) ).
fof(fc7_polynom1, axiom,  (! [A, B] :  ( (v3_ordinal1(A) &  ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v3_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k12_polynom1(A, B)))  &  (v36_algstr_0(k12_polynom1(A, B)) & v2_rlvect_1(k12_polynom1(A, B))) ) ) ) ).
fof(fc8_polynom1, axiom,  (! [A, B] :  ( (v3_ordinal1(A) &  ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v3_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k12_polynom1(A, B)))  &  (v36_algstr_0(k12_polynom1(A, B)) & v3_rlvect_1(k12_polynom1(A, B))) ) ) ) ).
fof(fc9_polynom1, axiom,  (! [A, B] :  ( (v3_ordinal1(A) &  ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v3_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k12_polynom1(A, B)))  &  (v36_algstr_0(k12_polynom1(A, B)) & v4_rlvect_1(k12_polynom1(A, B))) ) ) ) ).
fof(fc10_polynom1, axiom,  (! [A, B] :  ( (v3_ordinal1(A) &  ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v3_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k12_polynom1(A, B)))  &  (v13_algstr_0(k12_polynom1(A, B)) & v36_algstr_0(k12_polynom1(A, B))) ) ) ) ).
fof(fc11_polynom1, axiom,  (! [A, B] :  ( (v3_ordinal1(A) &  ( ~ (v2_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v3_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k12_polynom1(A, B)))  &  (v36_algstr_0(k12_polynom1(A, B)) & v5_group_1(k12_polynom1(A, B))) ) ) ) ).
fof(fc12_polynom1, axiom,  (! [A, B] :  ( (v3_ordinal1(A) &  ( ~ (v2_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v3_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k12_polynom1(A, B)))  &  (v36_algstr_0(k12_polynom1(A, B)) & v3_group_1(k12_polynom1(A, B))) ) ) ) ).
fof(fc13_polynom1, axiom,  (! [A, B] :  ( (v3_ordinal1(A) &  ( ~ (v2_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k12_polynom1(A, B)))  &  (v36_algstr_0(k12_polynom1(A, B)) &  (v1_vectsp_1(k12_polynom1(A, B)) & v4_vectsp_1(k12_polynom1(A, B))) ) ) ) ) ).
fof(t1_polynom1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (k4_finseq_1(B)=k4_finseq_1(C) => k4_finseq_1(k3_fvsum_1(A, B, C))=k4_finseq_1(B)) ) ) ) ) ) ) ).
fof(t2_polynom1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))) => k4_finseq_1(k6_matrlin(A, B))=k4_finseq_1(B)) ) ) ) ).
fof(t3_polynom1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))) => k6_matrlin(A, k2_pre_poly(k3_finseq_2(u1_struct_0(A))))=k2_pre_poly(u1_struct_0(A))) ) ) ) ).
fof(t4_polynom1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m2_finseq_2(B, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) => k3_pre_poly(u1_struct_0(A), k4_rlvect_1(A, B))=k6_matrlin(A, k3_pre_poly(k3_finseq_2(u1_struct_0(A)), B))) ) ) ) ).
fof(t5_polynom1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))) =>  (! [C] :  (m2_finseq_1(C, k3_finseq_2(u1_struct_0(A))) => k6_matrlin(A, k8_finseq_1(k3_finseq_2(u1_struct_0(A)), B, C))=k8_finseq_1(u1_struct_0(A), k6_matrlin(A, B), k6_matrlin(A, C))) ) ) ) ) ) ).
fof(d1_polynom1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (D=k9_fvsum_1(A, B, C) <=>  (k4_finseq_1(D)=k4_finseq_1(B) &  (! [E] :  (r2_hidden(E, k4_finseq_1(B)) => k7_partfun1(u1_struct_0(A), D, E)=k6_algstr_0(A, C, k7_partfun1(u1_struct_0(A), B, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_polynom1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (D=k1_polynom1(A, B, C) <=>  (k4_finseq_1(D)=k4_finseq_1(B) &  (! [E] :  (r2_hidden(E, k4_finseq_1(B)) => k7_partfun1(u1_struct_0(A), D, E)=k6_algstr_0(A, k7_partfun1(u1_struct_0(A), B, E), C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_polynom1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k9_fvsum_1(A, k2_pre_poly(u1_struct_0(A)), B)=k2_pre_poly(u1_struct_0(A))) ) ) ) ).
fof(t7_polynom1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_polynom1(A, k2_pre_poly(u1_struct_0(A)), B)=k2_pre_poly(u1_struct_0(A))) ) ) ) ).
fof(t8_polynom1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k9_fvsum_1(A, k3_pre_poly(u1_struct_0(A), C), B)=k3_pre_poly(u1_struct_0(A), k6_algstr_0(A, B, C))) ) ) ) ) ) ).
fof(t9_polynom1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_polynom1(A, k3_pre_poly(u1_struct_0(A), C), B)=k3_pre_poly(u1_struct_0(A), k6_algstr_0(A, C, B))) ) ) ) ) ) ).
fof(t10_polynom1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) => k9_fvsum_1(A, k8_finseq_1(u1_struct_0(A), C, D), B)=k8_finseq_1(u1_struct_0(A), k9_fvsum_1(A, C, B), k9_fvsum_1(A, D, B))) ) ) ) ) ) ) ) ).
fof(t11_polynom1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) => k1_polynom1(A, k8_finseq_1(u1_struct_0(A), C, D), B)=k8_finseq_1(u1_struct_0(A), k1_polynom1(A, C, B), k1_polynom1(A, D, B))) ) ) ) ) ) ) ) ).
fof(t12_polynom1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) => k4_rlvect_1(A, k9_fvsum_1(A, C, B))=k6_algstr_0(A, B, k4_rlvect_1(A, C))) ) ) ) ) ) ).
fof(t13_polynom1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) => k4_rlvect_1(A, k1_polynom1(A, C, B))=k6_algstr_0(A, k4_rlvect_1(A, C), B)) ) ) ) ) ) ).
fof(t14_polynom1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))) => k4_rlvect_1(A, k5_pre_poly(u1_struct_0(A), B))=k4_rlvect_1(A, k6_matrlin(A, B))) ) ) ) ).
fof(d3_polynom1, axiom,  (! [A] :  (l2_struct_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) & v1_funct_1(B)) )  =>  (! [C] :  (C=k2_polynom1(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (r2_hidden(D, k9_xtuple_0(B)) &  ~ (k1_funct_1(B, D)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ).
fof(d4_polynom1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (D=k3_polynom1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, D) <=>  ~ (k3_funct_2(A, u1_struct_0(B), C, E)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_polynom1, axiom,  (! [A] :  (l2_struct_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) & v1_funct_1(B)) )  =>  (v1_polynom1(B, A) <=> v1_finset_1(k2_polynom1(A, B))) ) ) ) ) ).
fof(d6_polynom1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_algstr_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  => k5_polynom1(A, B, C, D)=k1_vfunct_1(k15_pre_poly(A), B, C, D)) ) ) ) ) ) ) ).
fof(t15_polynom1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_algstr_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) )  => k4_polynom1(A, B, k5_polynom1(A, B, C, D), E)=k1_algstr_0(B, k4_polynom1(A, B, C, E), k4_polynom1(A, B, D, E))) ) ) ) ) ) ) ) ) ).
fof(t16_polynom1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_algstr_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  ( (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) &  (v1_partfun1(F, A) &  (v4_valued_0(F) & v2_pre_poly(F)) ) ) ) )  => k4_polynom1(A, B, E, F)=k1_algstr_0(B, k4_polynom1(A, B, C, F), k4_polynom1(A, B, D, F))) )  => r2_funct_2(k15_pre_poly(A), u1_struct_0(B), E, k5_polynom1(A, B, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t17_polynom1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  => k4_polynom1(A, B, k5_vfunct_1(k15_pre_poly(A), B, C), D)=k4_algstr_0(B, k4_polynom1(A, B, C, D))) ) ) ) ) ) ) ).
fof(t18_polynom1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  ( (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) )  => k4_polynom1(A, B, D, E)=k4_algstr_0(B, k4_polynom1(A, B, C, E))) )  => r2_funct_2(k15_pre_poly(A), u1_struct_0(B), D, k5_vfunct_1(k15_pre_poly(A), B, C))) ) ) ) ) ) ) ) ).
fof(t19_polynom1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  => r2_funct_2(k15_pre_poly(A), u1_struct_0(B), C, k5_vfunct_1(k15_pre_poly(A), B, k5_vfunct_1(k15_pre_poly(A), B, C)))) ) ) ) ) ).
fof(t20_polynom1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v4_rlvect_1(B) & l2_algstr_0(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  => r1_tarski(k3_polynom1(k15_pre_poly(A), B, k5_polynom1(A, B, C, D)), k4_subset_1(k15_pre_poly(A), k3_polynom1(k15_pre_poly(A), B, C), k3_polynom1(k15_pre_poly(A), B, D)))) ) ) ) ) ) ) ).
fof(t21_polynom1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  => r2_funct_2(k15_pre_poly(A), u1_struct_0(B), k5_polynom1(A, B, k5_polynom1(A, B, C, D), E), k5_polynom1(A, B, C, k5_polynom1(A, B, D, E)))) ) ) ) ) ) ) ) ) ).
fof(d7_polynom1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  => k7_polynom1(A, B, C, D)=k5_polynom1(A, B, C, k5_vfunct_1(k15_pre_poly(A), B, D))) ) ) ) ) ) ) ).
fof(d8_polynom1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  => k8_polynom1(A, B)=k8_funcop_1(u1_struct_0(B), k15_pre_poly(A), k4_struct_0(B))) ) ) ).
fof(t22_polynom1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  => k4_polynom1(A, B, k8_polynom1(A, B), C)=k4_struct_0(B)) ) ) ) ) ).
fof(t23_polynom1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v4_rlvect_1(B) & l2_algstr_0(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  => r2_funct_2(k15_pre_poly(A), u1_struct_0(B), k5_polynom1(A, B, C, k8_polynom1(A, B)), C)) ) ) ) ) ).
fof(d9_polynom1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_vectsp_1(B) & l5_algstr_0(B)) )  => k9_polynom1(A, B)=k14_funct_7(k15_pre_poly(A), u1_struct_0(B), k8_polynom1(A, B), k16_pre_poly(A), k5_struct_0(B))) ) ) ).
fof(t24_polynom1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  => r2_funct_2(k15_pre_poly(A), u1_struct_0(B), k7_polynom1(A, B, C, C), k8_polynom1(A, B))) ) ) ) ) ).
fof(t25_polynom1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_vectsp_1(B) & l5_algstr_0(B)) )  =>  (k4_polynom1(A, B, k9_polynom1(A, B), k16_pre_poly(A))=k5_struct_0(B) &  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  ( ~ (C=k16_pre_poly(A))  => k4_polynom1(A, B, k9_polynom1(A, B), C)=k4_struct_0(B)) ) ) ) ) ) ) ).
fof(d10_polynom1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (E=k10_polynom1(A, B, C, D) <=>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) &  (v1_partfun1(F, A) &  (v4_valued_0(F) & v2_pre_poly(F)) ) ) ) )  =>  (? [G] :  (m2_finseq_1(G, u1_struct_0(B)) &  (k4_polynom1(A, B, E, F)=k4_rlvect_1(B, G) &  (k3_finseq_1(G)=k3_finseq_1(k21_pre_poly(A, F)) &  (! [H] :  (m1_subset_1(H, k4_ordinal1) =>  ~ ( (r2_tarski(H, k4_finseq_1(G)) &  (! [I] :  ( (v1_relat_1(I) &  (v4_relat_1(I, A) &  (v1_funct_1(I) &  (v1_partfun1(I, A) &  (v4_valued_0(I) & v2_pre_poly(I)) ) ) ) )  =>  (! [J] :  ( (v1_relat_1(J) &  (v4_relat_1(J, A) &  (v1_funct_1(J) &  (v1_partfun1(J, A) &  (v4_valued_0(J) & v2_pre_poly(J)) ) ) ) )  =>  ~ ( (k9_pre_poly(k15_pre_poly(A), k4_ordinal1, k4_finseq_2(2, k15_pre_poly(A)), k21_pre_poly(A, F), H)=k10_finseq_1(I, J) & k7_partfun1(u1_struct_0(B), G, H)=k6_algstr_0(B, k4_polynom1(A, B, C, I), k4_polynom1(A, B, D, J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_polynom1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  => r2_funct_2(k15_pre_poly(A), u1_struct_0(B), k10_polynom1(A, B, C, k6_polynom1(A, B, D, E)), k6_polynom1(A, B, k10_polynom1(A, B, C, D), k10_polynom1(A, B, C, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t27_polynom1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  => r2_funct_2(k15_pre_poly(A), u1_struct_0(B), k10_polynom1(A, B, k10_polynom1(A, B, C, D), E), k10_polynom1(A, B, C, k10_polynom1(A, B, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t28_polynom1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  => r2_funct_2(k15_pre_poly(A), u1_struct_0(B), k10_polynom1(A, B, C, k8_polynom1(A, B)), k8_polynom1(A, B))) ) ) ) ) ) ).
fof(t29_polynom1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v3_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  => r2_funct_2(k15_pre_poly(A), u1_struct_0(B), k10_polynom1(A, B, C, k9_polynom1(A, B)), C)) ) ) ) ) ) ).
fof(t30_polynom1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  => r2_funct_2(k15_pre_poly(A), u1_struct_0(B), k10_polynom1(A, B, k9_polynom1(A, B), C), C)) ) ) ) ) ) ).
fof(d11_polynom1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v3_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v36_algstr_0(C) & l6_algstr_0(C)) )  =>  (C=k12_polynom1(A, B) <=>  ( (! [D] :  (r2_tarski(D, u1_struct_0(C)) <=>  (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) ) )  &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(F, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(G, B) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  ( (D=F & E=G)  => k1_algstr_0(C, D, E)=k5_polynom1(A, B, F, G)) ) ) ) ) ) ) ) )  &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(F, B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(G, B) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  ( (D=F & E=G)  => k6_algstr_0(C, D, E)=k10_polynom1(A, B, F, G)) ) ) ) ) ) ) ) )  &  (k4_struct_0(C)=k8_polynom1(A, B) & k5_struct_0(C)=k9_polynom1(A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_polynom1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v3_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  => k5_struct_0(k12_polynom1(A, B))=k9_polynom1(A, B)) ) ) ) ).
fof(dt_k1_polynom1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  (m1_finseq_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m2_finseq_1(k1_polynom1(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k3_polynom1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) ) )  => m1_subset_1(k3_polynom1(A, B, C), k1_zfmisc_1(A))) ) ).
fof(redefinition_k3_polynom1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) ) )  => k3_polynom1(A, B, C)=k2_polynom1(B, C)) ) ).
fof(dt_k4_polynom1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  & l1_struct_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  &  (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) ) ) )  => m1_subset_1(k4_polynom1(A, B, C, D), u1_struct_0(B))) ) ).
fof(redefinition_k4_polynom1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  & l1_struct_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  &  (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) ) ) )  => k4_polynom1(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(dt_k5_polynom1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  & l2_algstr_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) )  =>  (v1_funct_1(k5_polynom1(A, B, C, D)) &  (v1_funct_2(k5_polynom1(A, B, C, D), k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(k5_polynom1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) ) ).
fof(dt_k6_polynom1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) )  =>  (v1_funct_1(k6_polynom1(A, B, C, D)) &  (v1_funct_2(k6_polynom1(A, B, C, D), k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(k6_polynom1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) ) ).
fof(commutativity_k6_polynom1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) )  => k6_polynom1(A, B, C, D)=k6_polynom1(A, B, D, C)) ) ).
fof(redefinition_k6_polynom1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) )  => k6_polynom1(A, B, C, D)=k5_polynom1(A, B, C, D)) ) ).
fof(dt_k7_polynom1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) )  =>  (v1_funct_1(k7_polynom1(A, B, C, D)) &  (v1_funct_2(k7_polynom1(A, B, C, D), k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(k7_polynom1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) ) ).
fof(dt_k8_polynom1, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (v1_funct_1(k8_polynom1(A, B)) &  (v1_funct_2(k8_polynom1(A, B), k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(k8_polynom1(A, B), k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) ) ).
fof(dt_k9_polynom1, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v3_vectsp_1(B) & l5_algstr_0(B)) )  =>  (v1_funct_1(k9_polynom1(A, B)) &  (v1_funct_2(k9_polynom1(A, B), k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(k9_polynom1(A, B), k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) ) ).
fof(dt_k10_polynom1, axiom,  (! [A, B, C, D] :  ( (v3_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) ) )  =>  (v1_funct_1(k10_polynom1(A, B, C, D)) &  (v1_funct_2(k10_polynom1(A, B, C, D), k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(k10_polynom1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) ) ).
fof(dt_k11_polynom1, axiom,  (! [A, B, C, D] :  ( (v3_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) ) )  =>  (v1_funct_1(k11_polynom1(A, B, C, D)) &  (v1_funct_2(k11_polynom1(A, B, C, D), k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(k11_polynom1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) ) ).
fof(commutativity_k11_polynom1, axiom,  (! [A, B, C, D] :  ( (v3_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) ) )  => k11_polynom1(A, B, C, D)=k11_polynom1(A, B, D, C)) ) ).
fof(redefinition_k11_polynom1, axiom,  (! [A, B, C, D] :  ( (v3_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) ) )  => k11_polynom1(A, B, C, D)=k10_polynom1(A, B, C, D)) ) ).
fof(dt_k12_polynom1, axiom,  (! [A, B] :  ( (v3_ordinal1(A) &  ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v3_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k12_polynom1(A, B)))  &  (v36_algstr_0(k12_polynom1(A, B)) & l6_algstr_0(k12_polynom1(A, B))) ) ) ) ).
fof(rc1_polynom2, axiom,  (? [A] :  (l6_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) & v5_vectsp_1(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_polynom2, axiom,  (! [A, B, C, D] :  ( (v3_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) ) ) )  =>  (v1_funct_1(k7_polynom1(A, B, C, D)) &  (v1_funct_2(k7_polynom1(A, B, C, D), k15_pre_poly(A), u1_struct_0(B)) & v1_polynom1(k7_polynom1(A, B, C, D), B)) ) ) ) ).
fof(fc2_polynom2, axiom,  (! [A, B, C] :  ( (v3_ordinal1(A) &  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) ) )  => v1_finset_1(k2_polynom1(B, C))) ) ).
fof(fc3_polynom2, axiom,  (! [A, B] :  ( (v3_ordinal1(A) &  ( ~ (v2_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k12_polynom1(A, B)))  &  (v36_algstr_0(k12_polynom1(A, B)) & v4_vectsp_1(k12_polynom1(A, B))) ) ) ) ).
fof(fc4_polynom2, axiom,  (! [A, B, C] :  ( (v3_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) ) )  =>  (v1_funct_1(k3_polynom2(A, B, C)) &  (v1_funct_2(k3_polynom2(A, B, C), u1_struct_0(k12_polynom1(A, B)), u1_struct_0(B)) & v6_group_1(k3_polynom2(A, B, C), k12_polynom1(A, B), B)) ) ) ) ).
fof(fc5_polynom2, axiom,  (! [A, B, C] :  ( (v3_ordinal1(A) &  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) ) )  =>  (v1_funct_1(k3_polynom2(A, B, C)) &  (v1_funct_2(k3_polynom2(A, B, C), u1_struct_0(k12_polynom1(A, B)), u1_struct_0(B)) & v13_vectsp_1(k3_polynom2(A, B, C), k12_polynom1(A, B), B)) ) ) ) ).
fof(fc6_polynom2, axiom,  (! [A, B, C] :  ( (v3_ordinal1(A) &  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) ) )  =>  (v1_funct_1(k3_polynom2(A, B, C)) &  (v1_funct_2(k3_polynom2(A, B, C), u1_struct_0(k12_polynom1(A, B)), u1_struct_0(B)) & v1_group_6(k3_polynom2(A, B, C), k12_polynom1(A, B), B)) ) ) ) ).
fof(fc7_polynom2, axiom,  (! [A, B, C] :  ( (v3_ordinal1(A) &  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) ) )  =>  (v1_funct_1(k3_polynom2(A, B, C)) &  (v1_funct_2(k3_polynom2(A, B, C), u1_struct_0(k12_polynom1(A, B)), u1_struct_0(B)) & v1_ringcat1(k3_polynom2(A, B, C), k12_polynom1(A, B), B)) ) ) ) ).
fof(t1_polynom2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) &  (v3_group_1(A) & l3_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => k9_nat_1(u1_struct_0(A), k4_group_1(A), B, k1_nat_1(C, D))=k6_algstr_0(A, k9_nat_1(u1_struct_0(A), k4_group_1(A), B, C), k9_nat_1(u1_struct_0(A), k4_group_1(A), B, D))) ) ) ) ) ) ) ) ).
fof(t3_polynom2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_rlvect_1(A) &  (v1_algstr_1(A) & l2_algstr_0(A)) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (r2_tarski(C, k4_finseq_1(B)) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r2_tarski(D, k4_finseq_1(B)) =>  (D=C | k7_partfun1(u1_struct_0(A), B, D)=k4_struct_0(A)) ) ) ) )  => k4_rlvect_1(A, B)=k7_partfun1(u1_struct_0(A), B, C)) ) ) ) ) ) ) ).
fof(t4_polynom2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  ( (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (r2_tarski(C, k4_finseq_1(B)) & k7_partfun1(u1_struct_0(A), B, C)=k4_struct_0(A)) ) )  => k3_group_4(A, B)=k4_struct_0(A)) ) ) ) ) ).
fof(t5_polynom2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) & l2_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (k3_finseq_1(C)=k3_finseq_1(D) =>  ( (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ~ ( (r2_tarski(E, k4_finseq_1(C)) &  (k7_partfun1(u1_struct_0(A), D, E)=k3_rlvect_1(A, B, k7_partfun1(u1_struct_0(A), C, E)) &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r2_tarski(F, k4_finseq_1(C)) =>  (F=E | k7_partfun1(u1_struct_0(A), D, F)=k7_partfun1(u1_struct_0(A), C, F)) ) ) ) ) ) ) ) )  | k4_rlvect_1(A, D)=k3_rlvect_1(A, B, k4_rlvect_1(A, C))) ) ) ) ) ) ) ) ) ) ).
fof(t6_polynom2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (k3_finseq_1(C)=k3_finseq_1(D) =>  ( (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ~ ( (r2_tarski(E, k4_finseq_1(C)) &  (k7_partfun1(u1_struct_0(A), D, E)=k8_group_1(A, B, k7_partfun1(u1_struct_0(A), C, E)) &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r2_tarski(F, k4_finseq_1(C)) =>  (F=E | k7_partfun1(u1_struct_0(A), D, F)=k7_partfun1(u1_struct_0(A), C, F)) ) ) ) ) ) ) ) )  | k3_group_4(A, D)=k8_group_1(A, B, k3_group_4(A, C))) ) ) ) ) ) ) ) ) ) ).
fof(d2_polynom2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v4_vectsp_1(C) & l6_algstr_0(C)) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(C))))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (E=k1_polynom2(A, B, C, D) <=>  (? [F] :  (m2_finseq_1(F, u1_struct_0(C)) &  (k3_finseq_1(F)=k3_finseq_1(k7_pre_poly(A, k22_pre_poly(A, B), k2_orders_1(A))) &  (E=k3_group_4(C, F) &  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  ( (r1_xxreal_0(1, G) & r1_xxreal_0(G, k3_finseq_1(F)))  => k7_partfun1(u1_struct_0(C), F, G)=k9_nat_1(u1_struct_0(C), k4_group_1(C), k7_partfun1(u1_struct_0(C), k1_partfun1(k4_ordinal1, A, A, u1_struct_0(C), k7_pre_poly(A, k22_pre_poly(A, B), k2_orders_1(A)), D), G), k7_partfun1(k4_ordinal1, k23_pre_poly(A, k7_pre_poly(A, k22_pre_poly(A, B), k2_orders_1(A)), B), G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_polynom2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v4_vectsp_1(B) & l6_algstr_0(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  => k1_polynom2(A, k16_pre_poly(A), B, C)=k5_struct_0(B)) ) ) ) ) ) ).
fof(t15_polynom2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v4_vectsp_1(B) & l6_algstr_0(B)) )  =>  (! [C] :  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (k22_pre_poly(A, D)=k1_tarski(C) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  => k1_polynom2(A, D, B, E)=k1_binop_1(k4_group_1(B), k1_funct_1(E, C), k1_recdef_1(D, C))) ) ) ) ) ) ) ) ) ) ).
fof(t16_polynom2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  => k1_polynom2(A, k11_pre_poly(A, C, D), B, E)=k8_group_1(B, k1_polynom2(A, C, B, E), k1_polynom2(A, D, B, E))) ) ) ) ) ) ) ) ) ) ).
fof(t17_polynom2, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(B), u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B), u1_struct_0(A))))) ) )  =>  (k3_polynom1(k15_pre_poly(B), A, C)=k1_xboole_0 => r2_funct_2(k15_pre_poly(B), u1_struct_0(A), C, k8_polynom1(B, A))) ) ) ) ) ) ) ).
fof(t18_polynom2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  => r3_orders_1(k17_pre_poly(A), k3_polynom1(k15_pre_poly(A), B, C))) ) ) ) ) ) ).
fof(d4_polynom2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (E=k2_polynom2(A, B, C, D) <=>  (? [F] :  (m2_finseq_1(F, u1_struct_0(B)) &  (k3_finseq_1(F)=k3_finseq_1(k7_pre_poly(k15_pre_poly(A), k3_polynom1(k15_pre_poly(A), B, C), k17_pre_poly(A))) &  (E=k4_rlvect_1(B, F) &  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  ( (r1_xxreal_0(1, G) & r1_xxreal_0(G, k3_finseq_1(F)))  => k7_partfun1(u1_struct_0(B), F, G)=k6_algstr_0(B, k7_partfun1(u1_struct_0(B), k1_partfun1(k4_ordinal1, k15_pre_poly(A), k15_pre_poly(A), u1_struct_0(B), k7_pre_poly(k15_pre_poly(A), k3_polynom1(k15_pre_poly(A), B, C), k17_pre_poly(A)), C), G), k1_polynom2(A, k7_partfun1(k15_pre_poly(A), k7_pre_poly(k15_pre_poly(A), k3_polynom1(k15_pre_poly(A), B, C), k17_pre_poly(A)), G), B, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_polynom2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (k3_polynom1(k15_pre_poly(A), B, C)=k1_tarski(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  => k2_polynom2(A, B, C, E)=k6_algstr_0(B, k4_polynom1(A, B, C, D), k1_polynom2(A, D, B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_polynom2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  => k2_polynom2(A, B, k8_polynom1(A, B), C)=k4_struct_0(B)) ) ) ) ) ) ).
fof(t21_polynom2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  => k2_polynom2(A, B, k9_polynom1(A, B), C)=k5_struct_0(B)) ) ) ) ) ) ).
fof(t22_polynom2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  => k2_polynom2(A, B, k5_vfunct_1(k15_pre_poly(A), B, C), D)=k4_algstr_0(B, k2_polynom2(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t23_polynom2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  => k2_polynom2(A, B, k6_polynom1(A, B, C, D), E)=k3_rlvect_1(B, k2_polynom2(A, B, C, E), k2_polynom2(A, B, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t24_polynom2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  => k2_polynom2(A, B, k7_polynom1(A, B, C, D), E)=k5_algstr_0(B, k2_polynom2(A, B, C, E), k2_polynom2(A, B, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t25_polynom2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  => k2_polynom2(A, B, k11_polynom1(A, B, C, D), E)=k8_group_1(B, k2_polynom2(A, B, C, E), k2_polynom2(A, B, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(d5_polynom2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k12_polynom1(A, B)), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k12_polynom1(A, B)), u1_struct_0(B))))) )  =>  (D=k3_polynom2(A, B, C) <=>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(E, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  => k1_funct_1(D, E)=k2_polynom2(A, B, E, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_polynom2, axiom,  (! [A, B, C, D] :  ( (v3_ordinal1(A) &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  &  ( ( ~ (v7_struct_0(C))  &  (v4_vectsp_1(C) & l6_algstr_0(C)) )  &  (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(C))))) ) ) ) )  => m1_subset_1(k1_polynom2(A, B, C, D), u1_struct_0(C))) ) ).
fof(dt_k2_polynom2, axiom,  (! [A, B, C, D] :  ( (v3_ordinal1(A) &  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) ) ) )  => m1_subset_1(k2_polynom2(A, B, C, D), u1_struct_0(B))) ) ).
fof(dt_k3_polynom2, axiom,  (! [A, B, C] :  ( (v3_ordinal1(A) &  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) ) )  =>  (v1_funct_1(k3_polynom2(A, B, C)) &  (v1_funct_2(k3_polynom2(A, B, C), u1_struct_0(k12_polynom1(A, B)), u1_struct_0(B)) & m1_subset_1(k3_polynom2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k12_polynom1(A, B)), u1_struct_0(B))))) ) ) ) ).
fof(fc1_polynom3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (v1_partfun1(k5_polynom3(A), k4_finseq_2(A, k4_ordinal1)) &  (v1_relat_2(k5_polynom3(A)) &  (v4_relat_2(k5_polynom3(A)) &  (v8_relat_2(k5_polynom3(A)) & v3_orders_1(k5_polynom3(A))) ) ) ) ) ) ).
fof(fc2_polynom3, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  & m1_subset_1(B, k4_ordinal1))  =>  (v2_funct_1(k6_polynom3(A, B)) &  ( ~ (v1_xboole_0(k6_polynom3(A, B)))  & v1_pre_poly(k6_polynom3(A, B))) ) ) ) ).
fof(fc3_polynom3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_rlvect_1(A) & l2_algstr_0(A)) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k1_normsp_1(A, B, C)) &  (v1_funct_2(k1_normsp_1(A, B, C), k4_ordinal1, u1_struct_0(A)) & v1_polynom1(k1_normsp_1(A, B, C), A)) ) ) ) ).
fof(fc4_polynom3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (v1_funct_1(k5_vfunct_1(k4_ordinal1, A, B)) & v1_polynom1(k5_vfunct_1(k4_ordinal1, A, B), A)) ) ) ).
fof(fc5_polynom3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k2_normsp_1(A, B, C)) &  (v1_funct_2(k2_normsp_1(A, B, C), k4_ordinal1, u1_struct_0(A)) & v1_polynom1(k2_normsp_1(A, B, C), A)) ) ) ) ).
fof(fc6_polynom3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (v1_funct_1(k9_polynom3(A)) &  (v1_funct_2(k9_polynom3(A), k4_ordinal1, u1_struct_0(A)) & v1_polynom1(k9_polynom3(A), A)) ) ) ) ).
fof(fc7_polynom3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l5_algstr_0(A))  =>  (v1_funct_1(k10_polynom3(A)) &  (v1_funct_2(k10_polynom3(A), k4_ordinal1, u1_struct_0(A)) & v1_polynom1(k10_polynom3(A), A)) ) ) ) ).
fof(fc8_polynom3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k11_polynom3(A, B, C)) &  (v1_funct_2(k11_polynom3(A, B, C), k4_ordinal1, u1_struct_0(A)) & v1_polynom1(k11_polynom3(A, B, C), A)) ) ) ) ).
fof(fc9_polynom3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  ( ~ (v2_struct_0(k13_polynom3(A)))  &  (v36_algstr_0(k13_polynom3(A)) & v2_rlvect_1(k13_polynom3(A))) ) ) ) ).
fof(fc10_polynom3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  ( ~ (v2_struct_0(k13_polynom3(A)))  &  (v36_algstr_0(k13_polynom3(A)) & v3_rlvect_1(k13_polynom3(A))) ) ) ) ).
fof(fc11_polynom3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  ( ~ (v2_struct_0(k13_polynom3(A)))  &  (v36_algstr_0(k13_polynom3(A)) & v4_rlvect_1(k13_polynom3(A))) ) ) ) ).
fof(fc12_polynom3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  ( ~ (v2_struct_0(k13_polynom3(A)))  &  (v13_algstr_0(k13_polynom3(A)) & v36_algstr_0(k13_polynom3(A))) ) ) ) ).
fof(fc13_polynom3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k13_polynom3(A)))  &  (v36_algstr_0(k13_polynom3(A)) & v5_group_1(k13_polynom3(A))) ) ) ) ).
fof(fc14_polynom3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k13_polynom3(A)))  &  (v36_algstr_0(k13_polynom3(A)) & v3_group_1(k13_polynom3(A))) ) ) ) ).
fof(fc15_polynom3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k13_polynom3(A)))  &  (v36_algstr_0(k13_polynom3(A)) & v4_vectsp_1(k13_polynom3(A))) ) ) ) ).
fof(fc16_polynom3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  ( ~ (v2_struct_0(k13_polynom3(A)))  &  (v36_algstr_0(k13_polynom3(A)) & v5_vectsp_1(k13_polynom3(A))) ) ) ) ).
fof(t1_polynom3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  ( (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r2_tarski(C, k4_finseq_1(B)) => k1_funct_1(B, C)=k4_struct_0(A)) ) )  => k4_rlvect_1(A, B)=k4_struct_0(A)) ) ) ) ) ).
fof(t2_polynom3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) => k4_rlvect_1(A, B)=k4_rlvect_1(A, k4_finseq_5(u1_struct_0(A), B))) ) ) ) ).
fof(t3_polynom3, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) => k18_rvsum_1(A)=k18_rvsum_1(k4_finseq_5(k1_numbers, A))) ) ).
fof(t4_polynom3, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (r2_tarski(B, k4_finseq_1(A)) => r1_xxreal_0(k1_recdef_1(A, B), k1_wsierp_1(A))) ) ) ) ) ).
fof(d1_polynom3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k4_ordinal1, k4_finseq_2(A, k4_ordinal1)) =>  (! [C] :  (m2_finseq_2(C, k4_ordinal1, k4_finseq_2(A, k4_ordinal1)) =>  (r1_polynom3(A, B, C) <=>  (? [D] :  (m1_subset_1(D, k4_ordinal1) &  (r2_tarski(D, k2_finseq_1(A)) &  ( ~ (r1_xxreal_0(k1_recdef_1(C, D), k1_recdef_1(B, D)))  &  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(1, E) =>  (r1_xxreal_0(D, E) | k1_recdef_1(B, E)=k1_recdef_1(C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_polynom3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m2_finseq_2(B, k4_ordinal1, k4_finseq_2(A, k4_ordinal1)) =>  (! [C] :  (m2_finseq_2(C, k4_ordinal1, k4_finseq_2(A, k4_ordinal1)) =>  (r2_polynom3(A, B, C) <=>  (r1_polynom3(A, B, C) | B=C) ) ) ) ) ) ) ) ).
fof(t5_polynom3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m2_finseq_2(B, k4_ordinal1, k4_finseq_2(A, k4_ordinal1)) =>  (! [C] :  (m2_finseq_2(C, k4_ordinal1, k4_finseq_2(A, k4_ordinal1)) =>  (! [D] :  (m2_finseq_2(D, k4_ordinal1, k4_finseq_2(A, k4_ordinal1)) =>  ( ( (r1_polynom3(A, B, C) & r1_polynom3(A, C, D))  => r1_polynom3(A, B, D))  &  ( ~ ( ( ~ ( (r1_polynom3(A, B, C) & r2_polynom3(A, C, D)) )  &  ( ~ ( (r2_polynom3(A, B, C) & r1_polynom3(A, C, D)) )  &  ~ ( (r2_polynom3(A, B, C) & r2_polynom3(A, C, D)) ) ) ) )  => r2_polynom3(A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t6_polynom3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k4_ordinal1, k4_finseq_2(A, k4_ordinal1)) =>  (! [C] :  (m2_finseq_2(C, k4_ordinal1, k4_finseq_2(A, k4_ordinal1)) =>  ~ ( ( ~ (B=C)  &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ~ ( (r2_tarski(D, k2_finseq_1(A)) &  ( ~ (k1_recdef_1(B, D)=k1_recdef_1(C, D))  &  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(1, E) =>  (r1_xxreal_0(D, E) | k1_recdef_1(B, E)=k1_recdef_1(C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_polynom3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m2_finseq_2(B, k4_ordinal1, k4_finseq_2(A, k4_ordinal1)) =>  (! [C] :  (m2_finseq_2(C, k4_ordinal1, k4_finseq_2(A, k4_ordinal1)) =>  (r2_polynom3(A, B, C) | r1_polynom3(A, C, B)) ) ) ) ) ) ) ).
fof(d3_polynom3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_partfun1(B, k4_finseq_2(A, k4_ordinal1)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A, k4_ordinal1), k4_finseq_2(A, k4_ordinal1))))) ) ) )  =>  (B=k5_polynom3(A) <=>  (! [C] :  (m2_finseq_2(C, k4_ordinal1, k4_finseq_2(A, k4_ordinal1)) =>  (! [D] :  (m2_finseq_2(D, k4_ordinal1, k4_finseq_2(A, k4_ordinal1)) =>  (r2_hidden(k4_tarski(C, D), B) <=> r2_polynom3(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(d4_polynom3, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_1(C, k4_finseq_2(A, k4_ordinal1)) =>  (C=k6_polynom3(A, B) <=>  (? [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(k4_finseq_2(A, k4_ordinal1))))  &  (C=k7_pre_poly(k4_finseq_2(A, k4_ordinal1), D, k5_polynom3(A)) &  (! [E] :  (m2_finseq_2(E, k4_ordinal1, k4_finseq_2(A, k4_ordinal1)) =>  (r2_tarski(E, D) <=> k1_wsierp_1(E)=B) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_polynom3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => k3_finseq_1(k6_polynom3(1, A))=1) ) ).
fof(t9_polynom3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => k3_finseq_1(k6_polynom3(2, A))=k1_nat_1(A, 1)) ) ).
fof(t10_polynom3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => k6_polynom3(1, A)=k2_matrlin(k4_ordinal1, k13_matrix_0(k4_ordinal1, A))) ) ).
fof(t11_polynom3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( (k1_funct_1(k6_polynom3(2, C), A)=k2_polynom3(k4_ordinal1, D, k7_nat_d(C, D)) & k1_funct_1(k6_polynom3(2, C), B)=k2_polynom3(k4_ordinal1, E, k7_nat_d(C, E)))  =>  ( ~ ( ( ~ (r1_xxreal_0(B, A))  & r1_xxreal_0(E, D)) )  &  ~ ( ( ~ (r1_xxreal_0(E, D))  & r1_xxreal_0(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_polynom3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (k1_funct_1(k6_polynom3(2, B), A)=k2_polynom3(k4_ordinal1, C, k7_nat_d(B, C)) & k1_funct_1(k6_polynom3(2, B), k1_nat_1(A, 1))=k2_polynom3(k4_ordinal1, D, k7_nat_d(B, D)))  => D=k1_nat_1(C, 1)) ) ) ) ) ) ) ) ) ).
fof(t13_polynom3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => k1_funct_1(k6_polynom3(2, A), 1)=k2_polynom3(k4_ordinal1, k5_numbers, A)) ) ).
fof(t14_polynom3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (r2_tarski(B, k2_finseq_1(k1_nat_1(A, 1))) => k1_funct_1(k6_polynom3(2, A), B)=k2_polynom3(k4_ordinal1, k7_nat_d(B, 1), k7_nat_d(k1_nat_1(A, 1), B))) ) ) ) ) ).
fof(d5_polynom3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [E] :  (m2_finseq_1(E, k4_finseq_2(3, k4_ordinal1)) =>  (! [F] :  (m2_finseq_2(F, u1_struct_0(A), k3_finseq_2(u1_struct_0(A))) =>  (F=k7_polynom3(A, B, C, D, E) <=>  (k3_finseq_1(F)=k3_finseq_1(E) &  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  (r2_tarski(G, k4_finseq_1(E)) => k1_funct_1(F, G)=k6_algstr_0(A, k6_algstr_0(A, k3_funct_2(k4_ordinal1, u1_struct_0(A), B, k7_partfun1(k4_ordinal1, k9_pre_poly(k4_ordinal1, k4_ordinal1, k4_finseq_2(3, k4_ordinal1), E, G), 1)), k3_funct_2(k4_ordinal1, u1_struct_0(A), C, k7_partfun1(k4_ordinal1, k9_pre_poly(k4_ordinal1, k4_ordinal1, k4_finseq_2(3, k4_ordinal1), E, G), 2))), k3_funct_2(k4_ordinal1, u1_struct_0(A), D, k7_partfun1(k4_ordinal1, k9_pre_poly(k4_ordinal1, k4_ordinal1, k4_finseq_2(3, k4_ordinal1), E, G), 3)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_polynom3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [E] :  (m2_finseq_1(E, k4_finseq_2(3, k4_ordinal1)) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_finseq_1(E), k4_finseq_1(E)) &  (v3_funct_2(F, k4_finseq_1(E), k4_finseq_1(E)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(E), k4_finseq_1(E))))) ) )  =>  (! [G] :  (m2_finseq_1(G, k4_finseq_2(3, k4_ordinal1)) =>  (G=k1_partfun1(k4_finseq_1(E), k4_finseq_1(E), k4_ordinal1, k4_finseq_2(3, k4_ordinal1), F, E) => k7_polynom3(A, B, C, D, G)=k1_partfun1(k4_finseq_1(E), k4_finseq_1(E), k4_ordinal1, u1_struct_0(A), F, k7_polynom3(A, B, C, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_polynom3, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, k3_finseq_2(A)) =>  (! [C] :  (v7_ordinal1(C) => k10_pre_poly(A, k17_finseq_1(k3_finseq_2(A), C, B))=k17_finseq_1(k4_ordinal1, C, k10_pre_poly(A, B))) ) ) ) ) ).
fof(t18_polynom3, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, C) => r1_xxreal_0(k1_wsierp_1(k17_finseq_1(k4_ordinal1, B, A)), k1_wsierp_1(k17_finseq_1(k4_ordinal1, C, A)))) ) ) ) ) ) ) ).
fof(t19_polynom3, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (r1_xxreal_0(k3_finseq_1(B), C))  => k17_finseq_1(A, k1_nat_1(C, 1), B)=k7_finseq_1(k17_finseq_1(A, C, B), k9_finseq_1(k1_funct_1(B, k1_nat_1(C, 1))))) ) ) ) ) ) ).
fof(t20_polynom3, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ( ~ (r1_xxreal_0(k3_finseq_1(A), B))  => k18_rvsum_1(k17_finseq_1(k1_numbers, k1_nat_1(B, 1), A))=k2_xcmplx_0(k18_rvsum_1(k17_finseq_1(k1_numbers, B, A)), k1_funct_1(A, k1_nat_1(B, 1)))) ) ) ) ) ).
fof(t21_polynom3, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(D, k1_recdef_1(A, k1_nat_1(B, 1))) &  (r1_xxreal_0(E, k1_recdef_1(A, k1_nat_1(C, 1))) & k1_nat_1(k1_wsierp_1(k17_finseq_1(k4_ordinal1, B, A)), D)=k1_nat_1(k1_wsierp_1(k17_finseq_1(k4_ordinal1, C, A)), E)) ) ) )  =>  (r1_xxreal_0(k3_finseq_1(A), B) |  (r1_xxreal_0(k3_finseq_1(A), C) |  (B=C & D=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_polynom3, axiom,  (! [A] :  (! [B] :  (! [C] :  (m2_finseq_1(C, k3_finseq_2(A)) =>  (! [D] :  (m2_finseq_1(D, k3_finseq_2(B)) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  (! [H] :  (m1_subset_1(H, k4_ordinal1) =>  ( (r2_tarski(E, k4_finseq_1(C)) &  (r2_tarski(F, k4_finseq_1(D)) &  (r2_tarski(G, k4_finseq_1(k1_funct_1(C, E))) &  (r2_tarski(H, k4_finseq_1(k1_funct_1(D, F))) &  (k10_pre_poly(A, C)=k10_pre_poly(B, D) & k1_nat_1(k1_wsierp_1(k17_finseq_1(k4_ordinal1, k7_nat_d(E, 1), k10_pre_poly(A, C))), G)=k1_nat_1(k1_wsierp_1(k17_finseq_1(k4_ordinal1, k7_nat_d(F, 1), k10_pre_poly(B, D))), H)) ) ) ) )  =>  (E=F & G=H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_polynom3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r1_xxreal_0(k1_algseq_1(A, B), C) <=> r1_algseq_1(A, B, C)) ) ) ) ) ) ) ).
fof(t24_polynom3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_rlvect_1(A) & l2_algstr_0(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (r1_algseq_1(A, B, D) & r1_algseq_1(A, C, D))  => r1_algseq_1(A, k1_normsp_1(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t26_polynom3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) & l2_algstr_0(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k1_normsp_1(A, k1_normsp_1(A, B, C), D), k1_normsp_1(A, B, k1_normsp_1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(d6_polynom3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => k2_normsp_1(A, B, C)=k1_normsp_1(A, B, k5_vfunct_1(k4_ordinal1, A, C))) ) ) ) ) ) ).
fof(t27_polynom3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => k3_funct_2(k4_ordinal1, u1_struct_0(A), k2_normsp_1(A, B, C), D)=k5_algstr_0(A, k3_funct_2(k4_ordinal1, u1_struct_0(A), B, D), k3_funct_2(k4_ordinal1, u1_struct_0(A), C, D))) ) ) ) ) ) ) ) ).
fof(d7_polynom3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  => k9_polynom3(A)=k8_funcop_1(u1_struct_0(A), k4_ordinal1, k4_struct_0(A))) ) ).
fof(t28_polynom3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_rlvect_1(A) & l2_algstr_0(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k1_normsp_1(A, B, k9_polynom3(A)), B)) ) ) ) ).
fof(t29_polynom3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k2_normsp_1(A, B, B), k9_polynom3(A))) ) ) ) ).
fof(d8_polynom3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l5_algstr_0(A))  => k10_polynom3(A)=k14_funct_7(k4_ordinal1, u1_struct_0(A), k9_polynom3(A), k5_numbers, k5_struct_0(A))) ) ).
fof(t30_polynom3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l5_algstr_0(A))  =>  (k3_funct_2(k4_ordinal1, u1_struct_0(A), k10_polynom3(A), k5_numbers)=k5_struct_0(A) &  (! [B] :  (v7_ordinal1(B) =>  ( ~ (B=k5_numbers)  => k8_nat_1(u1_struct_0(A), k10_polynom3(A), B)=k4_struct_0(A)) ) ) ) ) ) ).
fof(d9_polynom3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (D=k11_polynom3(A, B, C) <=>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (? [F] :  (m2_finseq_1(F, u1_struct_0(A)) &  (k3_finseq_1(F)=k1_nat_1(E, 1) &  (k3_funct_2(k4_ordinal1, u1_struct_0(A), D, E)=k4_rlvect_1(A, F) &  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  (r2_tarski(G, k4_finseq_1(F)) => k1_funct_1(F, G)=k6_algstr_0(A, k3_funct_2(k4_ordinal1, u1_struct_0(A), B, k7_nat_d(G, 1)), k3_funct_2(k4_ordinal1, u1_struct_0(A), C, k7_nat_d(k1_nat_1(E, 1), G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_polynom3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k11_polynom3(A, B, k8_polynom3(A, C, D)), k8_polynom3(A, k11_polynom3(A, B, C), k11_polynom3(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t32_polynom3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k11_polynom3(A, k8_polynom3(A, B, C), D), k8_polynom3(A, k11_polynom3(A, B, D), k11_polynom3(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t33_polynom3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k11_polynom3(A, k11_polynom3(A, B, C), D), k11_polynom3(A, B, k11_polynom3(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t34_polynom3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k11_polynom3(A, B, k9_polynom3(A)), k9_polynom3(A))) ) ) ) ).
fof(t35_polynom3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v4_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k11_polynom3(A, B, k10_polynom3(A)), B)) ) ) ) ).
fof(d10_polynom3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v36_algstr_0(B) & l6_algstr_0(B)) )  =>  (B=k13_polynom3(A) <=>  ( (! [C] :  (r2_tarski(C, u1_struct_0(B)) <=>  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (C=E & D=F)  => k1_algstr_0(B, C, D)=k1_normsp_1(A, E, F)) ) ) ) ) ) ) ) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  ( (C=E & D=F)  => k6_algstr_0(B, C, D)=k11_polynom3(A, E, F)) ) ) ) ) ) ) ) )  &  (k4_struct_0(B)=k9_polynom3(A) & k5_struct_0(B)=k10_polynom3(A)) ) ) ) ) ) ) ) ) ).
fof(t36_polynom3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) &  (v4_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k11_polynom3(A, k10_polynom3(A), B), B)) ) ) ) ).
fof(t37_polynom3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  => k5_struct_0(k13_polynom3(A))=k10_polynom3(A)) ) ).
fof(s1_polynom3, axiom,  (? [A] :  (m2_finseq_1(A, k3_finseq_2(f1_s1_polynom3)) &  (k3_finseq_1(A)=f2_s1_polynom3 &  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (r2_tarski(B, k2_finseq_1(f2_s1_polynom3)) =>  (k3_finseq_1(k9_pre_poly(f1_s1_polynom3, k4_ordinal1, k3_finseq_2(f1_s1_polynom3), A, B))=f3_s1_polynom3(B) &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r2_tarski(C, k4_finseq_1(k9_pre_poly(f1_s1_polynom3, k4_ordinal1, k3_finseq_2(f1_s1_polynom3), A, B))) => k1_funct_1(k9_pre_poly(f1_s1_polynom3, k4_ordinal1, k3_finseq_2(f1_s1_polynom3), A, B), C)=f4_s1_polynom3(B, C)) ) ) ) ) ) ) ) ) ) ).
fof(s2_polynom3, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(f1_s2_polynom3)) &  (v1_polynom1(A, f1_s2_polynom3) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(f1_s2_polynom3))))) ) )  &  (r1_xxreal_0(k1_algseq_1(f1_s2_polynom3, A), f2_s2_polynom3) &  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ( ~ (r1_xxreal_0(f2_s2_polynom3, B))  => k3_funct_2(k4_ordinal1, u1_struct_0(f1_s2_polynom3), A, B)=f3_s2_polynom3(B)) ) ) ) ) ) ).
fof(dt_k1_polynom3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k4_ordinal1) & m1_finseq_1(C, A)) )  => m2_finseq_1(k1_polynom3(A, B, C), A)) ) ).
fof(redefinition_k1_polynom3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k4_ordinal1) & m1_finseq_1(C, A)) )  => k1_polynom3(A, B, C)=k2_finseq_3(B, C)) ) ).
fof(dt_k2_polynom3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => m2_finseq_2(k2_polynom3(A, B, C), A, k4_finseq_2(2, A))) ) ).
fof(redefinition_k2_polynom3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k2_polynom3(A, B, C)=k10_finseq_1(B, C)) ) ).
fof(dt_k3_polynom3, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k4_ordinal1) &  (m1_subset_1(C, k4_ordinal1) &  (m1_subset_1(D, k4_finseq_2(B, A)) & m1_subset_1(E, k4_finseq_2(C, A))) ) ) )  => m2_finseq_2(k3_polynom3(A, B, C, D, E), A, k4_finseq_2(k1_nat_1(B, C), A))) ) ).
fof(redefinition_k3_polynom3, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k4_ordinal1) &  (m1_subset_1(C, k4_ordinal1) &  (m1_subset_1(D, k4_finseq_2(B, A)) & m1_subset_1(E, k4_finseq_2(C, A))) ) ) )  => k3_polynom3(A, B, C, D, E)=k7_finseq_1(D, E)) ) ).
fof(dt_k4_polynom3, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  (m1_finseq_1(D, k4_finseq_2(B, A)) & m1_finseq_1(E, k4_finseq_2(C, A))) ) ) )  => m2_finseq_2(k4_polynom3(A, B, C, D, E), k4_finseq_2(k2_xcmplx_0(B, C), A), k3_finseq_2(k4_finseq_2(k2_xcmplx_0(B, C), A)))) ) ).
fof(redefinition_k4_polynom3, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  (m1_finseq_1(D, k4_finseq_2(B, A)) & m1_finseq_1(E, k4_finseq_2(C, A))) ) ) )  => k4_polynom3(A, B, C, D, E)=k8_pre_poly(D, E)) ) ).
fof(dt_f1_s1_polynom3, axiom,  ~ (v1_xboole_0(f1_s1_polynom3)) ).
fof(dt_f2_s1_polynom3, axiom, m1_subset_1(f2_s1_polynom3, k4_ordinal1)).
fof(dt_f3_s1_polynom3, axiom,  (! [A] : m1_subset_1(f3_s1_polynom3(A), k4_ordinal1)) ).
fof(dt_f4_s1_polynom3, axiom,  (! [A, B] : m1_subset_1(f4_s1_polynom3(A, B), f1_s1_polynom3)) ).
fof(asymmetry_r1_polynom3, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, k4_finseq_2(A, k4_ordinal1)) & m1_subset_1(C, k4_finseq_2(A, k4_ordinal1))) )  =>  (r1_polynom3(A, B, C) =>  ~ (r1_polynom3(A, C, B)) ) ) ) ).
fof(reflexivity_r2_polynom3, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k4_ordinal1) &  (m1_subset_1(B, k4_finseq_2(A, k4_ordinal1)) & m1_subset_1(C, k4_finseq_2(A, k4_ordinal1))) )  => r2_polynom3(A, B, B)) ) ).
fof(dt_k5_polynom3, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (v1_partfun1(k5_polynom3(A), k4_finseq_2(A, k4_ordinal1)) &  (v1_relat_2(k5_polynom3(A)) &  (v4_relat_2(k5_polynom3(A)) &  (v8_relat_2(k5_polynom3(A)) & m1_subset_1(k5_polynom3(A), k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A, k4_ordinal1), k4_finseq_2(A, k4_ordinal1))))) ) ) ) ) ) ).
fof(dt_k6_polynom3, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  & m1_subset_1(A, k4_ordinal1))  & m1_subset_1(B, k4_ordinal1))  => m2_finseq_1(k6_polynom3(A, B), k4_finseq_2(A, k4_ordinal1))) ) ).
fof(dt_k7_polynom3, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  & m1_finseq_1(E, k4_finseq_2(3, k4_ordinal1))) ) ) )  => m2_finseq_2(k7_polynom3(A, B, C, D, E), u1_struct_0(A), k3_finseq_2(u1_struct_0(A)))) ) ).
fof(dt_f1_s2_polynom3, axiom,  ( ~ (v2_struct_0(f1_s2_polynom3))  & l2_algstr_0(f1_s2_polynom3)) ).
fof(dt_f2_s2_polynom3, axiom, m1_subset_1(f2_s2_polynom3, k4_ordinal1)).
fof(dt_f3_s2_polynom3, axiom,  (! [A] : m1_subset_1(f3_s2_polynom3(A), u1_struct_0(f1_s2_polynom3))) ).
fof(dt_k8_polynom3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) & l2_algstr_0(A)) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (v1_funct_1(k8_polynom3(A, B, C)) &  (v1_funct_2(k8_polynom3(A, B, C), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k8_polynom3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(commutativity_k8_polynom3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) & l2_algstr_0(A)) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  => k8_polynom3(A, B, C)=k8_polynom3(A, C, B)) ) ).
fof(redefinition_k8_polynom3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) & l2_algstr_0(A)) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  => k8_polynom3(A, B, C)=k1_normsp_1(A, B, C)) ) ).
fof(dt_k9_polynom3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (v1_funct_1(k9_polynom3(A)) &  (v1_funct_2(k9_polynom3(A), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k9_polynom3(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(dt_k10_polynom3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l5_algstr_0(A))  =>  (v1_funct_1(k10_polynom3(A)) &  (v1_funct_2(k10_polynom3(A), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k10_polynom3(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(dt_k11_polynom3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (v1_funct_1(k11_polynom3(A, B, C)) &  (v1_funct_2(k11_polynom3(A, B, C), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k11_polynom3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(dt_k12_polynom3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (v1_funct_1(k12_polynom3(A, B, C)) &  (v1_funct_2(k12_polynom3(A, B, C), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k12_polynom3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(commutativity_k12_polynom3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  => k12_polynom3(A, B, C)=k12_polynom3(A, C, B)) ) ).
fof(redefinition_k12_polynom3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  => k12_polynom3(A, B, C)=k11_polynom3(A, B, C)) ) ).
fof(dt_k13_polynom3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  ( ~ (v2_struct_0(k13_polynom3(A)))  &  (v36_algstr_0(k13_polynom3(A)) & l6_algstr_0(k13_polynom3(A))) ) ) ) ).
fof(cc1_polynom4, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v6_algstr_0(A) &  (v33_algstr_0(A) &  (v1_vectsp_1(A) &  (v4_vectsp_1(A) &  (v3_group_1(A) & v1_algstr_1(A)) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v6_algstr_0(A) &  (v1_vectsp_1(A) &  (v4_vectsp_1(A) &  (v3_group_1(A) &  (v1_vectsp_2(A) & v1_algstr_1(A)) ) ) ) ) ) ) ) ) ).
fof(rc1_polynom4, axiom,  (? [A] :  (l6_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v36_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & v1_vectsp_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_polynom4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (v1_funct_1(k1_polynom4(A, B)) &  (v1_funct_2(k1_polynom4(A, B), k4_ordinal1, u1_struct_0(A)) & v1_polynom1(k1_polynom4(A, B), A)) ) ) ) ).
fof(fc2_polynom4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k3_polynom4(A, B)) &  (v1_funct_2(k3_polynom4(A, B), u1_struct_0(k13_polynom3(A)), u1_struct_0(A)) & v6_group_1(k3_polynom4(A, B), k13_polynom3(A), A)) ) ) ) ).
fof(fc3_polynom4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v1_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k3_polynom4(A, B)) &  (v1_funct_2(k3_polynom4(A, B), u1_struct_0(k13_polynom3(A)), u1_struct_0(A)) & v13_vectsp_1(k3_polynom4(A, B), k13_polynom3(A), A)) ) ) ) ).
fof(fc4_polynom4, axiom,  (! [A, B] :  ( ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v6_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k3_polynom4(A, B)) &  (v1_funct_2(k3_polynom4(A, B), u1_struct_0(k13_polynom3(A)), u1_struct_0(A)) & v1_group_6(k3_polynom4(A, B), k13_polynom3(A), A)) ) ) ) ).
fof(fc5_polynom4, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k3_polynom4(A, B)) &  (v1_funct_2(k3_polynom4(A, B), u1_struct_0(k13_polynom3(A)), u1_struct_0(A)) & v1_ringcat1(k3_polynom4(A, B), k13_polynom3(A), A)) ) ) ) ).
fof(t1_polynom4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, k3_finseq_1(B)))  => B=k7_finseq_1(k7_finseq_1(k17_finseq_1(A, k7_nat_d(C, 1), B), k9_finseq_1(k1_funct_1(B, C))), k2_rfinseq(A, C, B))) ) ) ) ) ) ) ).
fof(t2_polynom4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k11_polynom3(A, k9_polynom3(A), B), k9_polynom3(A))) ) ) ) ).
fof(t3_polynom4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  => k1_algseq_1(A, k9_polynom3(A))=k5_numbers) ) ).
fof(t4_polynom4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  & l5_algstr_0(A)) )  => k1_algseq_1(A, k10_polynom3(A))=1) ) ).
fof(t5_polynom4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (k1_algseq_1(A, B)=k5_numbers => r2_funct_2(k4_ordinal1, u1_struct_0(A), B, k9_polynom3(A))) ) ) ) ) ).
fof(t6_polynom4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_rlvect_1(A) & l2_algstr_0(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (r1_xxreal_0(k1_algseq_1(A, B), D) & r1_xxreal_0(k1_algseq_1(A, C), D))  => r1_xxreal_0(k1_algseq_1(A, k1_normsp_1(A, B, C)), D)) ) ) ) ) ) ) ) ) ).
fof(t7_polynom4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ( ~ (k1_algseq_1(A, B)=k1_algseq_1(A, C))  => k1_algseq_1(A, k1_normsp_1(A, B, C))=k4_xxreal_0(k1_algseq_1(A, B), k1_algseq_1(A, C))) ) ) ) ) ) ) ).
fof(t8_polynom4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => k1_algseq_1(A, k5_vfunct_1(k4_ordinal1, A, B))=k1_algseq_1(A, B)) ) ) ) ).
fof(t9_polynom4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (r1_xxreal_0(k1_algseq_1(A, B), D) & r1_xxreal_0(k1_algseq_1(A, C), D))  => r1_xxreal_0(k1_algseq_1(A, k2_normsp_1(A, B, C)), D)) ) ) ) ) ) ) ) ) ).
fof(t10_polynom4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v6_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ( ~ (k6_algstr_0(A, k8_nat_1(u1_struct_0(A), B, k7_nat_d(k1_algseq_1(A, B), 1)), k8_nat_1(u1_struct_0(A), C, k7_nat_d(k1_algseq_1(A, C), 1)))=k4_struct_0(A))  => k1_algseq_1(A, k11_polynom3(A, B, C))=k6_xcmplx_0(k1_nat_1(k1_algseq_1(A, B), k1_algseq_1(A, C)), 1)) ) ) ) ) ) ) ).
fof(d1_polynom4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (C=k1_polynom4(A, B) <=>  (k8_nat_1(u1_struct_0(A), C, k7_nat_d(k1_algseq_1(A, B), 1))=k8_nat_1(u1_struct_0(A), B, k7_nat_d(k1_algseq_1(A, B), 1)) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( ~ (D=k7_nat_d(k1_algseq_1(A, B), 1))  => k8_nat_1(u1_struct_0(A), C, D)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_polynom4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k1_polynom4(A, B), k14_funct_7(k4_ordinal1, u1_struct_0(A), k9_polynom3(A), k7_nat_d(k1_algseq_1(A, B), 1), k8_nat_1(u1_struct_0(A), B, k7_nat_d(k1_algseq_1(A, B), 1))))) ) ) ) ).
fof(t12_polynom4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (k1_algseq_1(A, B)=k5_numbers => r2_funct_2(k4_ordinal1, u1_struct_0(A), k1_polynom4(A, B), k9_polynom3(A))) ) ) ) ) ).
fof(t13_polynom4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k1_polynom4(A, k9_polynom3(A)), k9_polynom3(A))) ) ).
fof(t14_polynom4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  & l5_algstr_0(A)) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k1_polynom4(A, k10_polynom3(A)), k10_polynom3(A))) ) ).
fof(t15_polynom4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => k1_algseq_1(A, k1_polynom4(A, B))=k1_algseq_1(A, B)) ) ) ) ).
fof(t16_polynom4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ~ ( ( ~ (k1_algseq_1(A, B)=k5_numbers)  &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ~ ( ( ~ (r1_xxreal_0(k1_algseq_1(A, B), k1_algseq_1(A, C)))  &  (r2_funct_2(k4_ordinal1, u1_struct_0(A), B, k1_normsp_1(A, C, k1_polynom4(A, B))) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( ~ (r1_xxreal_0(k6_xcmplx_0(k1_algseq_1(A, B), 1), D))  => k8_nat_1(u1_struct_0(A), C, D)=k8_nat_1(u1_struct_0(A), B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_polynom4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (D=k2_polynom4(A, B, C) <=>  (? [E] :  (m2_finseq_1(E, u1_struct_0(A)) &  (D=k4_rlvect_1(A, E) &  (k3_finseq_1(E)=k1_algseq_1(A, B) &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r2_tarski(F, k4_finseq_1(E)) => k1_funct_1(E, F)=k6_algstr_0(A, k8_nat_1(u1_struct_0(A), B, k7_nat_d(F, 1)), k9_nat_1(u1_struct_0(A), k4_group_1(A), C, k7_nat_d(F, 1)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_polynom4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_polynom4(A, k9_polynom3(A), B)=k4_struct_0(A)) ) ) ) ).
fof(t18_polynom4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_polynom4(A, k10_polynom3(A), B)=k5_struct_0(A)) ) ) ) ).
fof(t19_polynom4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) &  (v1_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_polynom4(A, k8_polynom3(A, B, C), D)=k3_rlvect_1(A, k2_polynom4(A, B, D), k2_polynom4(A, C, D))) ) ) ) ) ) ) ) ).
fof(t20_polynom4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v1_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_polynom4(A, k5_vfunct_1(k4_ordinal1, A, B), C)=k4_algstr_0(A, k2_polynom4(A, B, C))) ) ) ) ) ) ).
fof(t21_polynom4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v1_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_polynom4(A, k2_normsp_1(A, B, C), D)=k5_algstr_0(A, k2_polynom4(A, B, D), k2_polynom4(A, C, D))) ) ) ) ) ) ) ) ).
fof(t22_polynom4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v1_group_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_polynom4(A, k1_polynom4(A, B), C)=k6_algstr_0(A, k8_nat_1(u1_struct_0(A), B, k7_nat_d(k1_algseq_1(A, B), 1)), k9_nat_1(u1_struct_0(A), k4_group_1(A), C, k7_nat_d(k1_algseq_1(A, B), 1)))) ) ) ) ) ) ).
fof(t23_polynom4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v6_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_polynom4(A, k12_polynom3(A, k1_polynom4(A, B), C), D)=k8_group_1(A, k2_polynom4(A, k1_polynom4(A, B), D), k2_polynom4(A, C, D))) ) ) ) ) ) ) ) ).
fof(t24_polynom4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v6_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_polynom4(A, k12_polynom3(A, B, C), D)=k8_group_1(A, k2_polynom4(A, B, D), k2_polynom4(A, C, D))) ) ) ) ) ) ) ) ).
fof(d3_polynom4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v1_group_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k13_polynom3(A)), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k13_polynom3(A)), u1_struct_0(A))))) )  =>  (C=k3_polynom4(A, B) <=>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => k1_funct_1(C, D)=k2_polynom4(A, D, B)) ) ) ) ) ) ) ) ) ).
fof(dt_k1_polynom4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (v1_funct_1(k1_polynom4(A, B)) &  (v1_funct_2(k1_polynom4(A, B), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k1_polynom4(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(dt_k2_polynom4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l6_algstr_0(A)) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k2_polynom4(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k3_polynom4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v1_group_1(A) & l6_algstr_0(A)) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k3_polynom4(A, B)) &  (v1_funct_2(k3_polynom4(A, B), u1_struct_0(k13_polynom3(A)), u1_struct_0(A)) & m1_subset_1(k3_polynom4(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k13_polynom3(A)), u1_struct_0(A))))) ) ) ) ).
fof(fc1_polynom5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_vectsp_1(A) &  (v5_vectsp_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  & v7_ordinal1(C)) )  =>  (v1_funct_1(k3_polynom5(A, B, C)) &  (v1_funct_2(k3_polynom5(A, B, C), k4_ordinal1, u1_struct_0(A)) & v1_polynom1(k3_polynom5(A, B, C), A)) ) ) ) ).
fof(fc2_polynom5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  & m1_subset_1(C, u1_struct_0(A))) )  =>  (v1_funct_1(k4_polynom5(A, B, C)) &  (v1_funct_2(k4_polynom5(A, B, C), k4_ordinal1, u1_struct_0(A)) & v1_polynom1(k4_polynom5(A, B, C), A)) ) ) ) ).
fof(fc3_polynom5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (v1_funct_1(k5_polynom5(A, B, C)) &  (v1_funct_2(k5_polynom5(A, B, C), k4_ordinal1, u1_struct_0(A)) & v1_polynom1(k5_polynom5(A, B, C), A)) ) ) ) ).
fof(fc4_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l6_algstr_0(A)) )  =>  (v1_funct_1(k9_polynom3(A)) &  (v1_funct_2(k9_polynom3(A), k4_ordinal1, u1_struct_0(A)) & v1_polynom5(k9_polynom3(A), A)) ) ) ) ).
fof(rc1_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l6_algstr_0(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & v1_polynom5(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc5_polynom5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (v1_funct_1(k8_polynom5(A, B)) &  (v1_funct_2(k8_polynom5(A, B), k4_ordinal1, u1_struct_0(A)) & v1_polynom1(k8_polynom5(A, B), A)) ) ) ) ).
fof(fc6_polynom5, axiom,  (v36_algstr_0(k1_complfld) & v2_polynom5(k1_complfld)) ).
fof(rc2_polynom5, axiom,  (? [A] :  (l6_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_vectsp_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v6_vectsp_1(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & v2_polynom5(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_polynom5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (A=k5_numbers)  &  ( ~ (B=k5_numbers)  &  ~ (r1_xxreal_0(k5_numbers, k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(A, B), A), B), 1))) ) ) ) ) ) ) ) ).
fof(t2_polynom5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  => r1_xxreal_0(k7_xcmplx_0(k3_xxreal_0(A, B), k4_xxreal_0(A, B)), 1)) ) ) ) ) ).
fof(t3_polynom5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  ( ~ (r1_xxreal_0(1, C))  &  ~ (r1_xxreal_0(B, k3_xcmplx_0(C, A))) ) ) ) ) )  => r1_xxreal_0(B, k5_numbers)) ) ) ) ) ).
fof(t4_polynom5, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  ( (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (r2_tarski(B, k4_finseq_1(A)) => r1_xxreal_0(k5_numbers, k1_funct_1(A, B))) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (r2_tarski(B, k4_finseq_1(A)) => r1_xxreal_0(k1_funct_1(A, B), k18_rvsum_1(A))) ) ) ) ) ) ).
fof(t5_polynom5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k4_algstr_0(k1_complfld, k1_hahnban1(A, B))=k1_hahnban1(k4_xcmplx_0(A), k4_xcmplx_0(B))) ) ) ) ).
fof(t6_polynom5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => k5_algstr_0(k1_complfld, k1_hahnban1(A, B), k1_hahnban1(C, D))=k1_hahnban1(k6_xcmplx_0(A, C), k6_xcmplx_0(B, D))) ) ) ) ) ) ) ) ).
fof(d1_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) => k1_polynom5(A, B, C)=k9_nat_1(u1_struct_0(A), k4_group_1(A), B, C)) ) ) ) ) ) ).
fof(t7_polynom5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  ( ~ (A=k4_struct_0(k1_complfld))  =>  (! [B] :  (v7_ordinal1(B) => k9_complex1(k1_polynom5(k1_complfld, A, B))=k2_power(k9_complex1(A), B)) ) ) ) ) ).
fof(d2_polynom5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_valued_0(A)) ) )  =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (B=k2_polynom5(A) <=>  (k3_finseq_1(B)=k3_finseq_1(A) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(A)) => k1_funct_1(B, C)=k9_complex1(k1_funct_1(A, C))) ) ) ) ) ) ) ) ) ).
fof(t8_polynom5, axiom, k2_polynom5(k6_finseq_1(u1_struct_0(k1_complfld)))=k6_finseq_1(k1_numbers)).
fof(t9_polynom5, axiom,  (! [A] :  (v1_xcmplx_0(A) => k2_polynom5(k9_finseq_1(A))=k9_finseq_1(k9_complex1(A))) ) ).
fof(t10_polynom5, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k2_polynom5(k10_finseq_1(A, B))=k10_finseq_1(k9_complex1(A), k9_complex1(B))) ) ) ) ).
fof(t11_polynom5, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k2_polynom5(k11_finseq_1(A, B, C))=k11_finseq_1(k9_complex1(A), k9_complex1(B), k9_complex1(C))) ) ) ) ) ) ).
fof(t12_polynom5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_valued_0(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_valued_0(B)) ) )  => k2_polynom5(k7_finseq_1(A, B))=k8_finseq_1(k1_numbers, k2_polynom5(A), k2_polynom5(B))) ) ) ) ).
fof(t13_polynom5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_valued_0(A)) ) )  =>  (! [B] :  (v1_xcmplx_0(B) =>  (k2_polynom5(k7_finseq_1(A, k9_finseq_1(B)))=k7_finseq_1(k2_polynom5(A), k9_finseq_1(k9_complex1(B))) & k2_polynom5(k7_finseq_1(k9_finseq_1(B), A))=k7_finseq_1(k9_finseq_1(k9_complex1(B)), k2_polynom5(A))) ) ) ) ) ).
fof(t14_polynom5, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k1_complfld)) => r1_xxreal_0(k9_complex1(k4_rlvect_1(k1_complfld, A)), k18_rvsum_1(k2_polynom5(A)))) ) ).
fof(d3_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_vectsp_1(A) &  (v5_vectsp_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  (v7_ordinal1(C) => k3_polynom5(A, B, C)=k1_binop_1(k4_group_1(k13_polynom3(A)), B, C)) ) ) ) ) ) ).
fof(t15_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k3_polynom5(A, B, k5_numbers), k10_polynom3(A))) ) ) ) ).
fof(t16_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k3_polynom5(A, B, 1), B)) ) ) ) ).
fof(t17_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k3_polynom5(A, B, 2), k12_polynom3(A, B, B))) ) ) ) ).
fof(t18_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k3_polynom5(A, B, 3), k12_polynom3(A, k12_polynom3(A, B, B), B))) ) ) ) ).
fof(t19_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  (v7_ordinal1(C) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k3_polynom5(A, B, k1_nat_1(C, 1)), k12_polynom3(A, k3_polynom5(A, B, C), B))) ) ) ) ) ) ).
fof(t20_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k3_polynom5(A, k9_polynom3(A), k1_nat_1(B, 1)), k9_polynom3(A))) ) ) ) ).
fof(t21_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k3_polynom5(A, k10_polynom3(A), B), k10_polynom3(A))) ) ) ) ).
fof(t22_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) => k2_polynom4(A, k3_polynom5(A, B, D), C)=k9_nat_1(u1_struct_0(A), k4_group_1(A), k2_polynom4(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t23_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ( ~ (k1_algseq_1(A, B)=k5_numbers)  =>  (! [C] :  (v7_ordinal1(C) => k1_algseq_1(A, k3_polynom5(A, B, C))=k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(C, k1_algseq_1(A, B)), C), 1)) ) ) ) ) ) ) ).
fof(d4_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (D=k4_polynom5(A, B, C) <=>  (! [E] :  (m1_subset_1(E, k4_ordinal1) => k3_funct_2(k4_ordinal1, u1_struct_0(A), D, E)=k6_algstr_0(A, C, k3_funct_2(k4_ordinal1, u1_struct_0(A), B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => k1_algseq_1(A, k4_polynom5(A, B, k4_struct_0(A)))=k5_numbers) ) ) ) ).
fof(t25_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (C=k4_struct_0(A))  => k1_algseq_1(A, k4_polynom5(A, B, C))=k1_algseq_1(A, B)) ) ) ) ) ) ) ).
fof(t26_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k4_polynom5(A, B, k4_struct_0(A)), k9_polynom3(A))) ) ) ) ).
fof(t27_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) & l4_algstr_0(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k4_polynom5(A, B, k5_struct_0(A)), B)) ) ) ) ).
fof(t28_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k4_polynom5(A, k9_polynom3(A), B), k9_polynom3(A))) ) ) ) ).
fof(t29_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v4_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k4_polynom5(A, k10_polynom3(A), B), k2_algseq_1(A, B))) ) ) ) ).
fof(t30_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_polynom4(A, k4_polynom5(A, B, C), D)=k8_group_1(A, C, k2_polynom4(A, B, D))) ) ) ) ) ) ) ) ).
fof(t31_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v1_group_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => k2_polynom4(A, B, k4_struct_0(A))=k3_funct_2(k4_ordinal1, u1_struct_0(A), B, k5_numbers)) ) ) ) ).
fof(d5_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k5_polynom5(A, B, C)=k14_funct_7(k4_ordinal1, u1_struct_0(A), k14_funct_7(k4_ordinal1, u1_struct_0(A), k9_polynom3(A), k5_numbers, B), 1, C)) ) ) ) ) ) ).
fof(t32_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k3_funct_2(k4_ordinal1, u1_struct_0(A), k2_algseq_1(A, B), k5_numbers)=B &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r1_xxreal_0(1, C) => k3_funct_2(k4_ordinal1, u1_struct_0(A), k2_algseq_1(A, B), C)=k4_struct_0(A)) ) ) ) ) ) ) ) ).
fof(t33_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (B=k4_struct_0(A))  => k1_algseq_1(A, k2_algseq_1(A, B))=1) ) ) ) ) ).
fof(t34_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k2_algseq_1(A, k4_struct_0(A)), k9_polynom3(A))) ) ).
fof(t35_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k11_polynom3(A, k2_algseq_1(A, B), k2_algseq_1(A, C)), k2_algseq_1(A, k8_group_1(A, B, C)))) ) ) ) ) ) ).
fof(t36_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k3_polynom5(A, k2_algseq_1(A, B), C), k2_algseq_1(A, k1_polynom5(A, B, C)))) ) ) ) ) ) ).
fof(t37_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_group_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_polynom4(A, k2_algseq_1(A, B), C)=B) ) ) ) ) ) ).
fof(t38_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k3_funct_2(k4_ordinal1, u1_struct_0(A), k5_polynom5(A, B, C), k5_numbers)=B &  (k3_funct_2(k4_ordinal1, u1_struct_0(A), k5_polynom5(A, B, C), 1)=C &  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(2, D) => k1_funct_1(k5_polynom5(A, B, C), D)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_xxreal_0(k1_algseq_1(A, k5_polynom5(A, B, C)), 2)) ) ) ) ) ) ).
fof(t40_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (C=k4_struct_0(A))  => k1_algseq_1(A, k5_polynom5(A, B, C))=2) ) ) ) ) ) ) ).
fof(t41_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (B=k4_struct_0(A))  => k1_algseq_1(A, k5_polynom5(A, B, k4_struct_0(A)))=1) ) ) ) ) ).
fof(t42_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k5_polynom5(A, k4_struct_0(A), k4_struct_0(A)), k9_polynom3(A))) ) ).
fof(t43_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k5_polynom5(A, B, k4_struct_0(A)), k2_algseq_1(A, B))) ) ) ) ).
fof(t44_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) &  (v1_group_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_polynom4(A, k5_polynom5(A, B, C), D)=k1_algstr_0(A, B, k6_algstr_0(A, C, D))) ) ) ) ) ) ) ) ).
fof(t45_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) &  (v4_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_polynom4(A, k5_polynom5(A, B, k4_struct_0(A)), D)=B) ) ) ) ) ) ) ) ).
fof(t46_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) &  (v1_group_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_polynom4(A, k5_polynom5(A, k4_struct_0(A), C), D)=k6_algstr_0(A, C, D)) ) ) ) ) ) ) ) ).
fof(t47_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) &  (v4_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_polynom4(A, k5_polynom5(A, B, k5_struct_0(A)), D)=k1_algstr_0(A, B, D)) ) ) ) ) ) ) ) ).
fof(t48_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) &  (v4_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_polynom4(A, k5_polynom5(A, k4_struct_0(A), k5_struct_0(A)), D)=D) ) ) ) ) ) ) ) ).
fof(d6_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (D=k6_polynom5(A, B, C) <=>  (? [E] :  (m2_finseq_1(E, u1_struct_0(k13_polynom3(A))) &  (D=k4_rlvect_1(k13_polynom3(A), E) &  (k3_finseq_1(E)=k1_algseq_1(A, B) &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r2_tarski(F, k4_finseq_1(E)) => k1_funct_1(E, F)=k4_polynom5(A, k3_polynom5(A, C, k7_nat_d(F, 1)), k3_funct_2(k4_ordinal1, u1_struct_0(A), B, k7_nat_d(F, 1)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k6_polynom5(A, k9_polynom3(A), B), k9_polynom3(A))) ) ) ) ).
fof(t50_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k6_polynom5(A, B, k9_polynom3(A)), k2_algseq_1(A, k3_funct_2(k4_ordinal1, u1_struct_0(A), B, k5_numbers)))) ) ) ) ).
fof(t51_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_xxreal_0(k1_algseq_1(A, k6_polynom5(A, B, k2_algseq_1(A, C))), 1)) ) ) ) ) ) ).
fof(t52_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ~ ( ( ~ (k1_algseq_1(A, B)=k5_numbers)  &  ( ~ (r1_xxreal_0(k1_algseq_1(A, C), 1))  &  ~ (k1_algseq_1(A, k6_polynom5(A, B, C))=k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k2_nat_1(k1_algseq_1(A, B), k1_algseq_1(A, C)), k1_algseq_1(A, B)), k1_algseq_1(A, C)), 2)) ) ) ) ) ) ) ) ) ) ).
fof(t53_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_polynom4(A, k6_polynom5(A, B, C), D)=k2_polynom4(A, B, k2_polynom4(A, C, D))) ) ) ) ) ) ) ) ).
fof(d7_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_polynom5(A, B, C) <=> k2_polynom4(A, B, C)=k4_struct_0(A)) ) ) ) ) ) ) ).
fof(d8_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (v1_polynom5(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & r1_polynom5(A, B, C)) ) ) ) ) ) ) ).
fof(t54_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l6_algstr_0(A)) )  => v1_polynom5(k9_polynom3(A), A)) ) ).
fof(t55_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_polynom5(A, k9_polynom3(A), B)) ) ) ) ).
fof(d9_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l6_algstr_0(A)) )  =>  (v2_polynom5(A) <=>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ( ~ (r1_xxreal_0(k1_algseq_1(A, B), 1))  => v1_polynom5(B, A)) ) ) ) ) ) ).
fof(d10_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (C=k7_polynom5(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, C) <=> r1_polynom5(A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(d11_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (C=k8_polynom5(A, B) <=>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => k3_funct_2(k4_ordinal1, u1_struct_0(A), C, D)=k12_algstr_0(A, k3_funct_2(k4_ordinal1, u1_struct_0(A), B, D), k3_funct_2(k4_ordinal1, u1_struct_0(A), B, k7_nat_d(k1_algseq_1(A, B), 1)))) ) ) ) ) ) ) ) ) ).
fof(t56_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ( ~ (k1_algseq_1(A, B)=k5_numbers)  => k3_funct_2(k4_ordinal1, u1_struct_0(A), k8_polynom5(A, B), k7_nat_d(k1_algseq_1(A, B), 1))=k5_struct_0(A)) ) ) ) ) ).
fof(t57_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ( ~ (k1_algseq_1(A, B)=k5_numbers)  => k1_algseq_1(A, k8_polynom5(A, B))=k1_algseq_1(A, B)) ) ) ) ) ).
fof(t58_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ( ~ (k1_algseq_1(A, B)=k5_numbers)  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_polynom4(A, k8_polynom5(A, B), C)=k12_algstr_0(A, k2_polynom4(A, B, C), k3_funct_2(k4_ordinal1, u1_struct_0(A), B, k7_nat_d(k1_algseq_1(A, B), 1)))) ) ) ) ) ) ) ).
fof(t59_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ( ~ (k1_algseq_1(A, B)=k5_numbers)  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_polynom5(A, B, C) <=> r1_polynom5(A, k8_polynom5(A, B), C)) ) ) ) ) ) ) ) ).
fof(t60_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ( ~ (k1_algseq_1(A, B)=k5_numbers)  =>  (v1_polynom5(B, A) <=> v1_polynom5(k8_polynom5(A, B), A)) ) ) ) ) ) ).
fof(t61_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ( ~ (k1_algseq_1(A, B)=k5_numbers)  => k7_polynom5(A, B)=k7_polynom5(A, k8_polynom5(A, B))) ) ) ) ) ).
fof(t62_polynom5, axiom, r2_cfcont_1(k6_partfun1(k2_numbers), k2_numbers)).
fof(t63_polynom5, axiom,  (! [A] :  (m1_subset_1(A, k2_numbers) => r2_cfcont_1(k8_funcop_1(k2_numbers, k2_numbers, A), k2_numbers)) ) ).
fof(d12_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (D=k9_polynom5(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(A), D, E)=k6_algstr_0(A, B, k1_polynom5(A, E, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  => r2_funct_2(u1_struct_0(A), u1_struct_0(A), k9_polynom5(A, k1_group_1(A), 1), k6_partfun1(u1_struct_0(A)))) ) ).
fof(t65_polynom5, axiom, r1_funct_2(u1_struct_0(k1_complfld), u1_struct_0(k1_complfld), k2_numbers, k2_numbers, k9_polynom5(k1_complfld, k1_group_1(k1_complfld), 2), k19_valued_1(k2_numbers, k2_numbers, k2_numbers, k6_partfun1(k2_numbers), k6_partfun1(k2_numbers)))).
fof(t66_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r2_funct_2(u1_struct_0(A), u1_struct_0(A), k9_polynom5(A, B, k5_numbers), k8_funcop_1(u1_struct_0(A), u1_struct_0(A), B))) ) ) ) ).
fof(t67_polynom5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (? [B] :  (m1_subset_1(B, k2_numbers) &  (A=B & r1_funct_2(u1_struct_0(k1_complfld), u1_struct_0(k1_complfld), k2_numbers, k2_numbers, k9_polynom5(k1_complfld, A, 1), k25_valued_1(k2_numbers, k2_numbers, k6_partfun1(k2_numbers), B))) ) ) ) ) ).
fof(t68_polynom5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (? [B] :  (m1_subset_1(B, k2_numbers) &  (A=B & r1_funct_2(u1_struct_0(k1_complfld), u1_struct_0(k1_complfld), k2_numbers, k2_numbers, k9_polynom5(k1_complfld, A, 2), k25_valued_1(k2_numbers, k2_numbers, k19_valued_1(k2_numbers, k2_numbers, k2_numbers, k6_partfun1(k2_numbers), k6_partfun1(k2_numbers)), B))) ) ) ) ) ).
fof(t69_polynom5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (v7_ordinal1(B) =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_numbers, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers)))) )  &  (r1_funct_2(k2_numbers, k2_numbers, u1_struct_0(k1_complfld), u1_struct_0(k1_complfld), C, k9_polynom5(k1_complfld, A, B)) & r1_funct_2(u1_struct_0(k1_complfld), u1_struct_0(k1_complfld), k2_numbers, k2_numbers, k9_polynom5(k1_complfld, A, k1_nat_1(B, 1)), k19_valued_1(k2_numbers, k2_numbers, k2_numbers, C, k6_partfun1(k2_numbers)))) ) ) ) ) ) ) ).
fof(t70_polynom5, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_complfld)) =>  (! [B] :  (v7_ordinal1(B) =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_numbers, k2_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers)))) )  &  (r1_funct_2(k2_numbers, k2_numbers, u1_struct_0(k1_complfld), u1_struct_0(k1_complfld), C, k9_polynom5(k1_complfld, A, B)) & r2_cfcont_1(C, k2_numbers)) ) ) ) ) ) ) ).
fof(d13_polynom5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (C=k10_polynom5(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(A), C, D)=k2_polynom4(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t71_polynom5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) )  =>  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_numbers, k2_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers)))) )  &  (r1_funct_2(k2_numbers, k2_numbers, u1_struct_0(k1_complfld), u1_struct_0(k1_complfld), B, k10_polynom5(k1_complfld, A)) & r2_cfcont_1(B, k2_numbers)) ) ) ) ) ).
fof(t72_polynom5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) )  =>  (k9_complex1(k3_funct_2(k4_ordinal1, u1_struct_0(k1_complfld), A, k7_nat_d(k1_algseq_1(k1_complfld, A), 1)))=1 =>  (r1_xxreal_0(k1_algseq_1(k1_complfld, A), 2) |  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  ( (k3_finseq_1(B)=k1_algseq_1(k1_complfld, A) &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r2_tarski(C, k4_finseq_1(B)) => k1_funct_1(B, C)=k9_complex1(k3_funct_2(k4_ordinal1, u1_struct_0(k1_complfld), A, k7_nat_d(C, 1)))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_complfld)) =>  ~ ( ( ~ (r1_xxreal_0(k9_complex1(C), k18_rvsum_1(B)))  & r1_xxreal_0(k9_complex1(k2_polynom4(k1_complfld, A, C)), k2_xcmplx_0(k9_complex1(k3_funct_2(k4_ordinal1, u1_struct_0(k1_complfld), A, k5_numbers)), 1))) ) ) ) ) ) ) ) ) ) ) ).
fof(t73_polynom5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) )  =>  ~ ( ( ~ (r1_xxreal_0(k1_algseq_1(k1_complfld, A), 2))  &  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_complfld)) =>  ~ ( (! [C] :  (m1_subset_1(C, u1_struct_0(k1_complfld)) => r1_xxreal_0(k9_complex1(k2_polynom4(k1_complfld, A, B)), k9_complex1(k2_polynom4(k1_complfld, A, C)))) ) ) ) ) ) ) ) ) ).
fof(t74_polynom5, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k1_complfld)) &  (v1_polynom1(A, k1_complfld) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k1_complfld))))) ) )  =>  ( ~ (r1_xxreal_0(k1_algseq_1(k1_complfld, A), 1))  => v1_polynom5(A, k1_complfld)) ) ) ).
fof(dt_k1_polynom5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  (m1_subset_1(B, u1_struct_0(A)) & v7_ordinal1(C)) )  => m1_subset_1(k1_polynom5(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k2_polynom5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_valued_0(A)) ) )  => m2_finseq_1(k2_polynom5(A), k1_numbers)) ) ).
fof(projectivity_k2_polynom5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_valued_0(A)) ) )  => k2_polynom5(k2_polynom5(A))=k2_polynom5(A)) ) ).
fof(redefinition_k2_polynom5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_valued_0(A)) ) )  => k2_polynom5(A)=k54_valued_1(A)) ) ).
fof(dt_k3_polynom5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_vectsp_1(A) &  (v5_vectsp_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  & v7_ordinal1(C)) )  =>  (v1_funct_1(k3_polynom5(A, B, C)) &  (v1_funct_2(k3_polynom5(A, B, C), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k3_polynom5(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(dt_k4_polynom5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  & m1_subset_1(C, u1_struct_0(A))) )  =>  (v1_funct_1(k4_polynom5(A, B, C)) &  (v1_funct_2(k4_polynom5(A, B, C), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k4_polynom5(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(dt_k5_polynom5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (v1_funct_1(k5_polynom5(A, B, C)) &  (v1_funct_2(k5_polynom5(A, B, C), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k5_polynom5(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(dt_k6_polynom5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k6_polynom5(A, B, C)) &  (v1_funct_2(k6_polynom5(A, B, C), k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(k6_polynom5(A, B, C), A) & m1_subset_1(k6_polynom5(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ) ).
fof(dt_k7_polynom5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l6_algstr_0(A)) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  => m1_subset_1(k7_polynom5(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k8_polynom5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (v1_funct_1(k8_polynom5(A, B)) &  (v1_funct_2(k8_polynom5(A, B), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k8_polynom5(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(dt_k9_polynom5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & v7_ordinal1(C)) )  =>  (v1_funct_1(k9_polynom5(A, B, C)) &  (v1_funct_2(k9_polynom5(A, B, C), u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(k9_polynom5(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ).
fof(dt_k10_polynom5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) & l6_algstr_0(A)) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (v1_funct_1(k10_polynom5(A, B)) &  (v1_funct_2(k10_polynom5(A, B), u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(k10_polynom5(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ).
fof(fc1_polynom6, axiom,  (! [A, B] :  ( (v3_ordinal1(A) &  (v3_ordinal1(B) &  ~ (v1_xboole_0(B)) ) )  =>  (v3_ordinal1(k10_ordinal2(A, B)) &  ~ (v1_xboole_0(k10_ordinal2(A, B))) ) ) ) ).
fof(fc2_polynom6, axiom,  (! [A, B] :  ( (v3_ordinal1(A) &  (v3_ordinal1(B) &  ~ (v1_xboole_0(B)) ) )  =>  (v3_ordinal1(k10_ordinal2(B, A)) &  ~ (v1_xboole_0(k10_ordinal2(B, A))) ) ) ) ).
fof(fc3_polynom6, axiom,  (! [A, B] :  ( (v3_ordinal1(A) &  ( ~ (v2_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k12_polynom1(A, B)))  &  ( ~ (v7_struct_0(k12_polynom1(A, B)))  &  (v36_algstr_0(k12_polynom1(A, B)) & v5_vectsp_1(k12_polynom1(A, B))) ) ) ) ) ).
fof(t1_polynom6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  ( (! [D] :  (r2_tarski(D, C) <=>  (? [E] :  (v3_ordinal1(E) &  (D=k10_ordinal2(A, E) & r2_tarski(E, B)) ) ) ) )  => k10_ordinal2(A, B)=k2_xboole_0(A, C)) ) ) ) ) ) ).
fof(t2_polynom6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  ~ ( (r1_pre_poly(A, B, C) &  (! [D] :  (v3_ordinal1(D) =>  ~ ( (r2_tarski(D, A) &  ( ~ (r1_xxreal_0(k1_funct_1(C, D), k1_funct_1(B, D)))  &  (! [E] :  (v3_ordinal1(E) =>  (r2_tarski(E, D) => k1_funct_1(B, E)=k1_funct_1(C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_polynom6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (m2_subset_1(C, k14_pre_poly(A), k15_pre_poly(A)) =>  (! [D] :  (m2_subset_1(D, k14_pre_poly(B), k15_pre_poly(B)) =>  (! [E] :  (m2_subset_1(E, k14_pre_poly(k10_ordinal2(A, B)), k15_pre_poly(k10_ordinal2(A, B))) =>  (E=k1_polynom6(A, B, C, D) <=>  (! [F] :  (v3_ordinal1(F) =>  ( (r2_tarski(F, A) => k1_funct_1(E, F)=k1_funct_1(C, F))  &  (r2_tarski(F, k6_subset_1(k10_ordinal2(A, B), A)) => k1_funct_1(E, F)=k1_funct_1(D, k5_ordinal3(F, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_polynom6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (m2_subset_1(C, k14_pre_poly(A), k15_pre_poly(A)) =>  (! [D] :  (m2_subset_1(D, k14_pre_poly(B), k15_pre_poly(B)) =>  (B=k1_xboole_0 => k1_polynom6(A, B, C, D)=C) ) ) ) ) ) ) ) ) ).
fof(t4_polynom6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (m2_subset_1(C, k14_pre_poly(A), k15_pre_poly(A)) =>  (! [D] :  (m2_subset_1(D, k14_pre_poly(B), k15_pre_poly(B)) =>  (A=k1_xboole_0 => k1_polynom6(A, B, C, D)=D) ) ) ) ) ) ) ) ) ).
fof(t5_polynom6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (m2_subset_1(C, k14_pre_poly(A), k15_pre_poly(A)) =>  (! [D] :  (m2_subset_1(D, k14_pre_poly(B), k15_pre_poly(B)) =>  (r6_pboole(k10_ordinal2(A, B), k1_polynom6(A, B, C, D), k16_pre_poly(k10_ordinal2(A, B))) <=>  (r6_pboole(A, C, k16_pre_poly(A)) & r6_pboole(B, D, k16_pre_poly(B))) ) ) ) ) ) ) ) ) ) ).
fof(t6_polynom6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (m2_subset_1(C, k14_pre_poly(k10_ordinal2(A, B)), k15_pre_poly(k10_ordinal2(A, B))) =>  (? [D] :  (m2_subset_1(D, k14_pre_poly(A), k15_pre_poly(A)) &  (? [E] :  (m2_subset_1(E, k14_pre_poly(B), k15_pre_poly(B)) & r6_pboole(k10_ordinal2(A, B), C, k1_polynom6(A, B, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t7_polynom6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (m2_subset_1(C, k14_pre_poly(A), k15_pre_poly(A)) =>  (! [D] :  (m2_subset_1(D, k14_pre_poly(A), k15_pre_poly(A)) =>  (! [E] :  (m2_subset_1(E, k14_pre_poly(B), k15_pre_poly(B)) =>  (! [F] :  (m2_subset_1(F, k14_pre_poly(B), k15_pre_poly(B)) =>  (r6_pboole(k10_ordinal2(A, B), k1_polynom6(A, B, C, E), k1_polynom6(A, B, D, F)) =>  (r6_pboole(A, C, D) & r6_pboole(B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_polynom6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  => r2_funct_2(k15_pre_poly(A), u1_struct_0(B), k10_polynom1(A, B, k6_polynom1(A, B, C, D), E), k6_polynom1(A, B, k10_polynom1(A, B, C, E), k10_polynom1(A, B, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(d2_polynom6, axiom,  (! [A] :  ( (v3_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( (v3_ordinal1(B) &  ~ (v1_xboole_0(B)) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) & l6_algstr_0(C)) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(k12_polynom1(B, C))) &  (v1_polynom1(D, k12_polynom1(B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(k12_polynom1(B, C)))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(k10_ordinal2(A, B)), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(k10_ordinal2(A, B)), u1_struct_0(C))))) ) )  =>  (E=k2_polynom6(A, B, C, D) <=>  (! [F] :  (m2_subset_1(F, k14_pre_poly(k10_ordinal2(A, B)), k15_pre_poly(k10_ordinal2(A, B))) =>  (? [G] :  (m2_subset_1(G, k14_pre_poly(A), k15_pre_poly(A)) &  (? [H] :  (m2_subset_1(H, k14_pre_poly(B), k15_pre_poly(B)) &  (? [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, k15_pre_poly(B), u1_struct_0(C)) &  (v1_polynom1(I, C) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B), u1_struct_0(C))))) ) )  &  (I=k4_polynom1(A, k12_polynom1(B, C), D, G) &  (r8_pboole(k10_ordinal2(A, B), F, k1_polynom6(A, B, G, H)) & k4_polynom1(k10_ordinal2(A, B), C, E, F)=k4_polynom1(B, C, I, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_polynom6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (m2_subset_1(C, k14_pre_poly(A), k15_pre_poly(A)) =>  (! [D] :  (m2_subset_1(D, k14_pre_poly(A), k15_pre_poly(A)) =>  (! [E] :  (m2_subset_1(E, k14_pre_poly(B), k15_pre_poly(B)) =>  (! [F] :  (m2_subset_1(F, k14_pre_poly(B), k15_pre_poly(B)) =>  ( (r3_pre_poly(A, C, D) & r3_pre_poly(B, E, F))  => r3_pre_poly(k10_ordinal2(A, B), k1_polynom6(A, B, C, E), k1_polynom6(A, B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_polynom6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k10_ordinal2(A, B)) &  (v1_funct_1(C) &  (v1_partfun1(C, k10_ordinal2(A, B)) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  (m2_subset_1(D, k14_pre_poly(A), k15_pre_poly(A)) =>  (! [E] :  (m2_subset_1(E, k14_pre_poly(B), k15_pre_poly(B)) =>  ~ ( (r3_pre_poly(k10_ordinal2(A, B), C, k1_polynom6(A, B, D, E)) &  (! [F] :  (m2_subset_1(F, k14_pre_poly(A), k15_pre_poly(A)) =>  (! [G] :  (m2_subset_1(G, k14_pre_poly(B), k15_pre_poly(B)) =>  ~ ( (r3_pre_poly(A, F, D) &  (r3_pre_poly(B, G, E) & r6_pboole(k10_ordinal2(A, B), C, k1_polynom6(A, B, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_polynom6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (m2_subset_1(C, k14_pre_poly(A), k15_pre_poly(A)) =>  (! [D] :  (m2_subset_1(D, k14_pre_poly(A), k15_pre_poly(A)) =>  (! [E] :  (m2_subset_1(E, k14_pre_poly(B), k15_pre_poly(B)) =>  (! [F] :  (m2_subset_1(F, k14_pre_poly(B), k15_pre_poly(B)) =>  (r1_pre_poly(k10_ordinal2(A, B), k1_polynom6(A, B, C, E), k1_polynom6(A, B, D, F)) <=>  (r1_pre_poly(A, C, D) |  (r6_pboole(A, C, D) & r1_pre_poly(B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_polynom6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (m2_subset_1(C, k14_pre_poly(A), k15_pre_poly(A)) =>  (! [D] :  (m2_subset_1(D, k14_pre_poly(B), k15_pre_poly(B)) =>  (! [E] :  (m2_finseq_1(E, k3_finseq_2(k15_pre_poly(k10_ordinal2(A, B)))) =>  ( (k4_finseq_1(E)=k4_finseq_1(k20_pre_poly(A, C)) &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r2_tarski(F, k4_finseq_1(k20_pre_poly(A, C))) &  (! [G] :  (m2_subset_1(G, k14_pre_poly(A), k15_pre_poly(A)) =>  (! [H] :  (m2_finseq_1(H, k15_pre_poly(k10_ordinal2(A, B))) =>  ~ ( (H=k9_pre_poly(k15_pre_poly(k10_ordinal2(A, B)), k4_ordinal1, k3_finseq_2(k15_pre_poly(k10_ordinal2(A, B))), E, F) &  (r6_pboole(A, k7_partfun1(k15_pre_poly(A), k20_pre_poly(A, C), F), G) &  (k3_finseq_1(H)=k3_finseq_1(k20_pre_poly(B, D)) &  (! [I] :  (v7_ordinal1(I) =>  ~ ( (r2_tarski(I, k4_finseq_1(H)) &  (! [J] :  (m2_subset_1(J, k14_pre_poly(B), k15_pre_poly(B)) =>  ~ ( (r6_pboole(B, k7_partfun1(k15_pre_poly(B), k20_pre_poly(B, D), I), J) & r6_pboole(k10_ordinal2(A, B), k7_partfun1(k15_pre_poly(k10_ordinal2(A, B)), H, I), k1_polynom6(A, B, G, J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  => k20_pre_poly(k10_ordinal2(A, B), k1_polynom6(A, B, C, D))=k5_pre_poly(k15_pre_poly(k10_ordinal2(A, B)), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_polynom6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (m2_subset_1(C, k14_pre_poly(A), k15_pre_poly(A)) =>  (! [D] :  (m2_subset_1(D, k14_pre_poly(A), k15_pre_poly(A)) =>  (! [E] :  (m2_subset_1(E, k14_pre_poly(A), k15_pre_poly(A)) =>  (! [F] :  (m2_subset_1(F, k14_pre_poly(B), k15_pre_poly(B)) =>  (! [G] :  (m2_subset_1(G, k14_pre_poly(B), k15_pre_poly(B)) =>  (! [H] :  (m2_subset_1(H, k14_pre_poly(B), k15_pre_poly(B)) =>  ( (r6_pboole(A, E, k12_pre_poly(A, D, C)) & r6_pboole(B, H, k12_pre_poly(B, G, F)))  => r6_pboole(k10_ordinal2(A, B), k12_pre_poly(k10_ordinal2(A, B), k1_polynom6(A, B, D, G), k1_polynom6(A, B, C, F)), k1_polynom6(A, B, E, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_polynom6, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (m2_subset_1(C, k14_pre_poly(A), k15_pre_poly(A)) =>  (! [D] :  (m2_subset_1(D, k14_pre_poly(B), k15_pre_poly(B)) =>  (! [E] :  (m2_finseq_1(E, k3_finseq_2(k4_finseq_2(2, k15_pre_poly(k10_ordinal2(A, B))))) =>  ( (k4_finseq_1(E)=k4_finseq_1(k21_pre_poly(A, C)) &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r2_tarski(F, k4_finseq_1(k21_pre_poly(A, C))) &  (! [G] :  (m2_subset_1(G, k14_pre_poly(A), k15_pre_poly(A)) =>  (! [H] :  (m2_subset_1(H, k14_pre_poly(A), k15_pre_poly(A)) =>  (! [I] :  (m2_finseq_1(I, k4_finseq_2(2, k15_pre_poly(k10_ordinal2(A, B)))) =>  ~ ( (I=k9_pre_poly(k4_finseq_2(2, k15_pre_poly(k10_ordinal2(A, B))), k4_ordinal1, k3_finseq_2(k4_finseq_2(2, k15_pre_poly(k10_ordinal2(A, B)))), E, F) &  (k9_pre_poly(k15_pre_poly(A), k4_ordinal1, k4_finseq_2(2, k15_pre_poly(A)), k21_pre_poly(A, C), F)=k2_polynom3(k15_pre_poly(A), G, H) &  (k3_finseq_1(I)=k3_finseq_1(k21_pre_poly(B, D)) &  (! [J] :  (v7_ordinal1(J) =>  ~ ( (r2_tarski(J, k4_finseq_1(I)) &  (! [K] :  (m2_subset_1(K, k14_pre_poly(B), k15_pre_poly(B)) =>  (! [L] :  (m2_subset_1(L, k14_pre_poly(B), k15_pre_poly(B)) =>  ~ ( (k9_pre_poly(k15_pre_poly(B), k4_ordinal1, k4_finseq_2(2, k15_pre_poly(B)), k21_pre_poly(B, D), J)=k2_polynom3(k15_pre_poly(B), K, L) & k9_pre_poly(k15_pre_poly(k10_ordinal2(A, B)), k4_ordinal1, k4_finseq_2(2, k15_pre_poly(k10_ordinal2(A, B))), I, J)=k2_polynom3(k15_pre_poly(k10_ordinal2(A, B)), k1_polynom6(A, B, G, K), k1_polynom6(A, B, H, L))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  => k21_pre_poly(k10_ordinal2(A, B), k1_polynom6(A, B, C, D))=k5_pre_poly(k4_finseq_2(2, k15_pre_poly(k10_ordinal2(A, B))), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_polynom6, axiom,  (! [A] :  ( (v3_ordinal1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  ( (v3_ordinal1(B) &  ~ (v1_xboole_0(B)) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) )  => r2_quofield(k12_polynom1(A, k12_polynom1(B, C)), k12_polynom1(k10_ordinal2(A, B), C))) ) ) ) ) ) ).
fof(symmetry_r1_polynom6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ~ (v2_struct_0(B))  & l6_algstr_0(B)) )  =>  (r1_polynom6(A, B) => r1_polynom6(B, A)) ) ) ).
fof(reflexivity_r1_polynom6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ~ (v2_struct_0(B))  & l6_algstr_0(B)) )  => r1_polynom6(A, A)) ) ).
fof(redefinition_r1_polynom6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ~ (v2_struct_0(B))  & l6_algstr_0(B)) )  =>  (r1_polynom6(A, B) <=> r2_quofield(A, B)) ) ) ).
fof(dt_k1_polynom6, axiom,  (! [A, B, C, D] :  ( (v3_ordinal1(A) &  (v3_ordinal1(B) &  (m1_subset_1(C, k15_pre_poly(A)) & m1_subset_1(D, k15_pre_poly(B))) ) )  => m2_subset_1(k1_polynom6(A, B, C, D), k14_pre_poly(k10_ordinal2(A, B)), k15_pre_poly(k10_ordinal2(A, B)))) ) ).
fof(dt_k2_polynom6, axiom,  (! [A, B, C, D] :  ( ( (v3_ordinal1(A) &  ~ (v1_xboole_0(A)) )  &  ( (v3_ordinal1(B) &  ~ (v1_xboole_0(B)) )  &  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) & l6_algstr_0(C)) ) ) ) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(k12_polynom1(B, C))) &  (v1_polynom1(D, k12_polynom1(B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(k12_polynom1(B, C)))))) ) ) ) ) )  =>  (v1_funct_1(k2_polynom6(A, B, C, D)) &  (v1_funct_2(k2_polynom6(A, B, C, D), k15_pre_poly(k10_ordinal2(A, B)), u1_struct_0(C)) &  (v1_polynom1(k2_polynom6(A, B, C, D), C) & m1_subset_1(k2_polynom6(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(k10_ordinal2(A, B)), u1_struct_0(C))))) ) ) ) ) ).
fof(rc1_polynom7, axiom,  (? [A] :  (l6_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & v1_algstr_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_polynom7, axiom,  (! [A, B] :  ( ( ~ (v7_struct_0(B))  & l2_struct_0(B))  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B)))) &  (v1_relat_1(C) &  (v4_relat_1(C, k15_pre_poly(A)) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & v1_polynom7(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(rc3_polynom7, axiom,  (! [A, B] :  ( (v3_ordinal1(A) &  ( ~ (v7_struct_0(B))  & l2_struct_0(B)) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B)))) &  (v1_relat_1(C) &  (v4_relat_1(C, k15_pre_poly(A)) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & v1_polynom7(C, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(rc4_polynom7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) &  (v2_pre_poly(B) & v2_polynom7(B, A)) ) ) ) ) ) ) ) ) ).
fof(cc1_polynom7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) &  (v2_pre_poly(B) & v2_polynom7(B, A)) ) ) ) ) )  =>  (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) ) ) ) ) ) ) ).
fof(rc5_polynom7, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B)))) &  (v1_relat_1(C) &  (v4_relat_1(C, k15_pre_poly(A)) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & v3_polynom7(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(cc2_polynom7, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B)))) =>  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & v3_polynom7(C, A, B)) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & v1_polynom1(C, B)) ) ) ) ) ) ) ).
fof(rc6_polynom7, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B)))) &  (v1_relat_1(C) &  (v4_relat_1(C, k15_pre_poly(A)) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & v4_polynom7(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(cc3_polynom7, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B)))) =>  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & v4_polynom7(C, A, B)) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & v3_polynom7(C, A, B)) ) ) ) ) ) ) ).
fof(fc1_polynom7, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (v1_funct_1(k8_polynom1(A, B)) &  (v1_funct_2(k8_polynom1(A, B), k15_pre_poly(A), u1_struct_0(B)) & v4_polynom7(k8_polynom1(A, B), A, B)) ) ) ) ).
fof(fc2_polynom7, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v4_vectsp_1(B) & l6_algstr_0(B)) )  =>  (v1_funct_1(k9_polynom1(A, B)) &  (v1_funct_2(k9_polynom1(A, B), k15_pre_poly(A), u1_struct_0(B)) & v4_polynom7(k9_polynom1(A, B), A, B)) ) ) ) ).
fof(fc3_polynom7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  & m1_subset_1(C, u1_struct_0(B)))  =>  (v1_funct_1(k4_polynom7(A, B, C)) &  (v1_funct_2(k4_polynom7(A, B, C), k15_pre_poly(A), u1_struct_0(B)) & v4_polynom7(k4_polynom7(A, B, C), A, B)) ) ) ) ).
fof(fc4_polynom7, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v7_algstr_0(B) &  (v4_rlvect_1(B) &  (v5_vectsp_1(B) &  (v1_algstr_1(B) & l6_algstr_0(B)) ) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  & m1_subset_1(D, u1_struct_0(B))) )  =>  (v1_funct_1(k5_polynom7(A, B, C, D)) &  (v1_funct_2(k5_polynom7(A, B, C, D), k15_pre_poly(A), u1_struct_0(B)) & v1_polynom1(k5_polynom7(A, B, C, D), B)) ) ) ) ).
fof(fc5_polynom7, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v7_algstr_0(B) &  (v4_rlvect_1(B) &  (v5_vectsp_1(B) &  (v1_algstr_1(B) & l6_algstr_0(B)) ) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  & m1_subset_1(D, u1_struct_0(B))) )  =>  (v1_funct_1(k6_polynom7(A, B, C, D)) &  (v1_funct_2(k6_polynom7(A, B, C, D), k15_pre_poly(A), u1_struct_0(B)) & v1_polynom1(k6_polynom7(A, B, C, D), B)) ) ) ) ).
fof(d1_polynom7, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (v1_polynom7(C, A, B) <=>  ~ (C=k8_polynom1(A, B)) ) ) ) ) ) ) ).
fof(t1_polynom7, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (r2_funct_2(k15_pre_poly(A), u1_struct_0(B), C, k8_polynom1(A, B)) <=> k3_polynom1(k15_pre_poly(A), B, C)=k1_xboole_0) ) ) ) ) ) ).
fof(t2_polynom7, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  ( ~ ( ( ~ (v7_struct_0(B))  &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  => k3_polynom1(k15_pre_poly(A), B, C)=k1_xboole_0) ) ) )  &  ~ ( ( ~ ( (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  => k3_polynom1(k15_pre_poly(A), B, C)=k1_xboole_0) ) )  & v7_struct_0(B)) ) ) ) ) ) ).
fof(d2_polynom7, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (v2_polynom7(B, A) <=>  (? [C] :  (m1_subset_1(C, A) & k22_pre_poly(A, B)=k1_tarski(C)) ) ) ) ) ) ).
fof(t3_polynom7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k1_xboole_0) &  (v1_funct_1(A) &  (v1_partfun1(A, k1_xboole_0) &  (v4_valued_0(A) & v2_pre_poly(A)) ) ) ) )  => A=k16_pre_poly(k1_xboole_0)) ) ).
fof(t4_polynom7, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k15_pre_poly(k1_xboole_0), u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(k1_xboole_0), u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_xboole_0, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_xboole_0, u1_struct_0(A))))) )  => k2_polynom2(k1_xboole_0, A, B, C)=k4_polynom1(k1_xboole_0, A, B, k16_pre_poly(k1_xboole_0))) ) ) ) ) ) ).
fof(t5_polynom7, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  => r2_quofield(k12_polynom1(k1_xboole_0, A), A)) ) ).
fof(d3_polynom7, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (v3_polynom7(C, A, B) <=>  (? [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  &  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) )  =>  ( ~ (E=D)  => k4_polynom1(A, B, C, E)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_polynom7, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v3_polynom7(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  <=>  ~ ( ( ~ (k3_polynom1(k15_pre_poly(A), B, C)=k1_xboole_0)  &  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  ~ (k3_polynom1(k15_pre_poly(A), B, C)=k1_tarski(D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_polynom7, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  => k1_polynom7(A, B, C, D)=k14_funct_7(k15_pre_poly(A), u1_struct_0(B), k8_polynom1(A, B), D, C)) ) ) ) ) ) ) ).
fof(d5_polynom7, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v3_polynom7(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (D=k2_polynom7(A, B, C) <=>  ~ ( (k4_polynom1(A, B, C, D)=k4_struct_0(B) &  ~ ( (k3_polynom1(k15_pre_poly(A), B, C)=k1_xboole_0 & D=k16_pre_poly(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_polynom7, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v3_polynom7(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  => k3_polynom7(A, B, C)=k4_polynom1(A, B, C, k2_polynom7(A, B, C))) ) ) ) ) ).
fof(t7_polynom7, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v3_polynom7(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (k3_polynom1(k15_pre_poly(A), B, C)=k1_xboole_0 | k3_polynom1(k15_pre_poly(A), B, C)=k1_tarski(k2_polynom7(A, B, C))) ) ) ) ) ) ).
fof(t8_polynom7, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (k3_polynom7(A, B, k1_polynom7(A, B, k4_struct_0(B), C))=k4_struct_0(B) & k2_polynom7(A, B, k1_polynom7(A, B, k4_struct_0(B), C))=k16_pre_poly(A)) ) ) ) ) ) ).
fof(t9_polynom7, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  => k3_polynom7(A, B, k1_polynom7(A, B, C, D))=C) ) ) ) ) ) ) ).
fof(t10_polynom7, axiom,  (! [A] :  (! [B] :  ( ( ~ (v7_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( ( ~ (v9_struct_0(C, B))  & m1_subset_1(C, u1_struct_0(B)))  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  => k2_polynom7(A, B, k1_polynom7(A, B, C, D))=D) ) ) ) ) ) ) ).
fof(t11_polynom7, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v3_polynom7(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  => r2_funct_2(k15_pre_poly(A), u1_struct_0(B), k1_polynom7(A, B, k3_polynom7(A, B, C), k2_polynom7(A, B, C)), C)) ) ) ) ) ).
fof(t12_polynom7, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v3_polynom7(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  => k2_polynom2(A, B, C, D)=k6_algstr_0(B, k3_polynom7(A, B, C), k1_polynom2(A, k2_polynom7(A, B, C), B, D))) ) ) ) ) ) ) ) ).
fof(t13_polynom7, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  => k2_polynom2(A, B, k1_polynom7(A, B, C, D), E)=k6_algstr_0(B, C, k1_polynom2(A, D, B, E))) ) ) ) ) ) ) ) ) ) ).
fof(d7_polynom7, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (v4_polynom7(C, A, B) <=>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  ( ~ (D=k16_pre_poly(A))  => k4_polynom1(A, B, C, D)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ).
fof(t14_polynom7, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v4_polynom7(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  <=>  (r2_funct_2(k15_pre_poly(A), u1_struct_0(B), C, k8_polynom1(A, B)) | k3_polynom1(k15_pre_poly(A), B, C)=k6_domain_1(k15_pre_poly(A), k16_pre_poly(A))) ) ) ) ) ) ) ).
fof(t15_polynom7, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v4_polynom7(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (k3_polynom1(k15_pre_poly(A), B, C)=k1_xboole_0 | k3_polynom1(k15_pre_poly(A), B, C)=k6_domain_1(k15_pre_poly(A), k16_pre_poly(A))) ) ) ) ) ) ).
fof(t16_polynom7, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v4_polynom7(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (k2_polynom7(A, B, C)=k16_pre_poly(A) & k3_polynom7(A, B, C)=k4_polynom1(A, B, C, k16_pre_poly(A))) ) ) ) ) ) ).
fof(d8_polynom7, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k4_polynom7(A, B, C)=k14_funct_7(k15_pre_poly(A), u1_struct_0(B), k8_polynom1(A, B), k16_pre_poly(A), C)) ) ) ) ) ).
fof(t17_polynom7, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v4_polynom7(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) & r2_funct_2(k15_pre_poly(A), u1_struct_0(B), C, k4_polynom7(A, B, D))) ) ) ) ) ) ) ) ).
fof(t18_polynom7, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l5_algstr_0(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (k4_polynom1(A, B, k4_polynom7(A, B, C), k16_pre_poly(A))=C &  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  ( ~ (D=k16_pre_poly(A))  => k4_polynom1(A, B, k4_polynom7(A, B, C), D)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ).
fof(t19_polynom7, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  => r2_funct_2(k15_pre_poly(A), u1_struct_0(B), k4_polynom7(A, B, k4_struct_0(B)), k8_polynom1(A, B))) ) ) ).
fof(t20_polynom7, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v4_vectsp_1(B) & l5_algstr_0(B)) )  => r2_funct_2(k15_pre_poly(A), u1_struct_0(B), k4_polynom7(A, B, k5_struct_0(B)), k9_polynom1(A, B))) ) ) ).
fof(t21_polynom7, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r2_funct_2(k15_pre_poly(A), u1_struct_0(B), k4_polynom7(A, B, C), k4_polynom7(A, B, D)) <=> C=D) ) ) ) ) ) ) ) ).
fof(t22_polynom7, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (k3_polynom1(k15_pre_poly(A), B, k4_polynom7(A, B, C))=k1_xboole_0 | k3_polynom1(k15_pre_poly(A), B, k4_polynom7(A, B, C))=k6_domain_1(k15_pre_poly(A), k16_pre_poly(A))) ) ) ) ) ) ).
fof(t23_polynom7, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (k2_polynom7(A, B, k4_polynom7(A, B, C))=k16_pre_poly(A) & k3_polynom7(A, B, k4_polynom7(A, B, C))=C) ) ) ) ) ) ).
fof(t24_polynom7, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v4_polynom7(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  => k2_polynom2(A, B, C, D)=k3_polynom7(A, B, C)) ) ) ) ) ) ) ) ).
fof(t25_polynom7, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  => k2_polynom2(A, B, k4_polynom7(A, B, C), D)=C) ) ) ) ) ) ) ) ).
fof(d9_polynom7, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l5_algstr_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (E=k5_polynom7(A, B, C, D) <=>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) &  (v1_partfun1(F, A) &  (v4_valued_0(F) & v2_pre_poly(F)) ) ) ) )  => k4_polynom1(A, B, E, F)=k6_algstr_0(B, D, k4_polynom1(A, B, C, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_polynom7, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l5_algstr_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (E=k6_polynom7(A, B, C, D) <=>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) &  (v1_partfun1(F, A) &  (v4_valued_0(F) & v2_pre_poly(F)) ) ) ) )  => k4_polynom1(A, B, E, F)=k6_algstr_0(B, k4_polynom1(A, B, C, F), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_polynom7, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v5_group_1(B) & l5_algstr_0(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => r2_funct_2(k15_pre_poly(A), u1_struct_0(B), k5_polynom7(A, B, C, D), k6_polynom7(A, B, C, D))) ) ) ) ) ) ) ).
fof(t27_polynom7, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_vectsp_1(B) & l6_algstr_0(B)) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => r2_funct_2(k15_pre_poly(A), u1_struct_0(B), k5_polynom7(A, B, C, D), k10_polynom1(A, B, k4_polynom7(A, B, D), C))) ) ) ) ) ) ) ) ).
fof(t28_polynom7, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_vectsp_1(B) & l6_algstr_0(B)) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => r2_funct_2(k15_pre_poly(A), u1_struct_0(B), k6_polynom7(A, B, C, D), k10_polynom1(A, B, C, k4_polynom7(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t29_polynom7, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v1_algstr_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  => k2_polynom2(A, B, k5_polynom7(A, B, C, D), E)=k8_group_1(B, D, k2_polynom2(A, B, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t30_polynom7, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v5_algstr_0(B) &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v1_vectsp_2(B) &  (v1_algstr_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  => k2_polynom2(A, B, k5_polynom7(A, B, C, D), E)=k6_algstr_0(B, D, k2_polynom2(A, B, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t31_polynom7, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v1_algstr_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  => k2_polynom2(A, B, k6_polynom7(A, B, C, D), E)=k8_group_1(B, k2_polynom2(A, B, C, E), D)) ) ) ) ) ) ) ) ) ) ).
fof(t32_polynom7, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v5_algstr_0(B) &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v1_vectsp_2(B) &  (v1_algstr_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  => k2_polynom2(A, B, k6_polynom7(A, B, C, D), E)=k8_group_1(B, k2_polynom2(A, B, C, E), D)) ) ) ) ) ) ) ) ) ) ).
fof(t33_polynom7, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v1_algstr_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  => k2_polynom2(A, B, k11_polynom1(A, B, k4_polynom7(A, B, D), C), E)=k8_group_1(B, D, k2_polynom2(A, B, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t34_polynom7, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v1_algstr_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) )  => k2_polynom2(A, B, k11_polynom1(A, B, C, k4_polynom7(A, B, D)), E)=k8_group_1(B, k2_polynom2(A, B, C, E), D)) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_polynom7, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  &  (m1_subset_1(C, u1_struct_0(B)) &  (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) ) ) )  =>  (v1_funct_1(k1_polynom7(A, B, C, D)) &  (v1_funct_2(k1_polynom7(A, B, C, D), k15_pre_poly(A), u1_struct_0(B)) &  (v3_polynom7(k1_polynom7(A, B, C, D), A, B) & m1_subset_1(k1_polynom7(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) ) ) ).
fof(dt_k2_polynom7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v3_polynom7(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) )  =>  (v1_relat_1(k2_polynom7(A, B, C)) &  (v4_relat_1(k2_polynom7(A, B, C), A) &  (v1_funct_1(k2_polynom7(A, B, C)) &  (v1_partfun1(k2_polynom7(A, B, C), A) &  (v4_valued_0(k2_polynom7(A, B, C)) & v2_pre_poly(k2_polynom7(A, B, C))) ) ) ) ) ) ) ).
fof(dt_k3_polynom7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v3_polynom7(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) )  => m1_subset_1(k3_polynom7(A, B, C), u1_struct_0(B))) ) ).
fof(dt_k4_polynom7, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  & m1_subset_1(C, u1_struct_0(B)))  =>  (v1_funct_1(k4_polynom7(A, B, C)) &  (v1_funct_2(k4_polynom7(A, B, C), k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(k4_polynom7(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) ) ).
fof(dt_k5_polynom7, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  & l5_algstr_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  & m1_subset_1(D, u1_struct_0(B))) )  =>  (v1_funct_1(k5_polynom7(A, B, C, D)) &  (v1_funct_2(k5_polynom7(A, B, C, D), k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(k5_polynom7(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) ) ).
fof(dt_k6_polynom7, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  & l5_algstr_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  & m1_subset_1(D, u1_struct_0(B))) )  =>  (v1_funct_1(k6_polynom7(A, B, C, D)) &  (v1_funct_2(k6_polynom7(A, B, C, D), k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(k6_polynom7(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) ) ).
fof(cc1_polynom8, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v1_vectsp_1(A) &  (v4_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & v3_group_1(A)) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v1_vectsp_1(A) &  (v4_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & v1_vectsp_2(A)) ) ) ) ) ) ) ) ) ) ).
fof(fc1_polynom8, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k4_lopban_3(A, B, C)) &  (v1_funct_2(k4_lopban_3(A, B, C), k4_ordinal1, u1_struct_0(A)) & v1_polynom1(k4_lopban_3(A, B, C), A)) ) ) ) ).
fof(t1_polynom8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v4_vectsp_1(B) &  (v1_vectsp_2(B) & l6_algstr_0(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  ~ ( ( ~ (C=k4_struct_0(B))  & k2_binom(B, C, A)=k4_struct_0(B)) ) ) ) ) ) ) ) ).
fof(t2_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=k4_struct_0(A))  &  ( ~ (C=k4_struct_0(A))  &  ~ (k9_algstr_0(A, k8_group_1(A, B, C))=k8_group_1(A, k9_algstr_0(A, B), k9_algstr_0(A, C))) ) ) ) ) ) ) ) ) ) ).
fof(t3_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (B=k4_struct_0(A))  => C=k12_algstr_0(A, k8_group_1(A, C, B), B)) ) ) ) ) ) ) ).
fof(t4_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_algstr_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  ( (k3_finseq_1(C)=B &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, B))  => k7_partfun1(u1_struct_0(A), C, D)=k5_struct_0(A)) ) ) )  => k4_rlvect_1(A, C)=k5_binom(A, k5_struct_0(A), B)) ) ) ) ) ) ) ).
fof(t5_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, k3_finseq_1(B)))  => k1_funct_1(B, D)=k2_binom(A, C, k7_nat_d(D, 1))) ) )  =>  (C=k5_struct_0(A) | k4_rlvect_1(A, B)=k12_algstr_0(A, k5_algstr_0(A, k5_struct_0(A), k2_binom(A, C, k3_finseq_1(B))), k5_algstr_0(A, k5_struct_0(A), C))) ) ) ) ) ) ) ) ).
fof(d1_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k1_polynom8(A, B)=k5_binom(A, k5_struct_0(A), B)) ) ) ) ).
fof(t6_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  ~ ( (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(A), B, C) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(A)))) )  =>  (! [F] :  ( (v1_matrix_0(F) &  (v2_matrix_0(F, u1_struct_0(A), C, D) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(A)))) )  => k4_matrix_3(A, k6_matrix_3(A, E, k1_polynom8(A, B)), F)=k6_matrix_3(A, k4_matrix_3(A, E, F), k1_polynom8(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( ~ (k8_nat_1(u1_struct_0(A), B, C)=k4_struct_0(A))  => r1_xxreal_0(k1_nat_1(C, 1), k1_algseq_1(A, B))) ) ) ) ) ) ) ).
fof(t8_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ~ ( ( ~ (r1_xxreal_0(k1_algseq_1(A, B), k5_numbers))  & k1_funct_1(B, k6_xcmplx_0(k1_algseq_1(A, B), 1))=k4_struct_0(A)) ) ) ) ) ) ).
fof(t9_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ~ ( ( ~ (r1_xxreal_0(k1_algseq_1(A, B), k5_numbers))  &  ( ~ (r1_xxreal_0(k1_algseq_1(A, C), k5_numbers))  &  ~ (r1_xxreal_0(k1_algseq_1(A, k11_polynom3(A, B, C)), k1_nat_1(k1_algseq_1(A, B), k1_algseq_1(A, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t10_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_group_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k4_polynom5(A, k4_polynom5(A, D, C), B), k4_polynom5(A, D, k6_algstr_0(A, B, C)))) ) ) ) ) ) ) ) ).
fof(t11_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => r1_xxreal_0(k1_algseq_1(A, k4_lopban_3(A, B, C)), k4_nat_1(k1_algseq_1(A, B), k1_algseq_1(A, C)))) ) ) ) ) ) ).
fof(t12_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (k1_algseq_1(A, B)=k1_algseq_1(A, C) => k1_algseq_1(A, k4_lopban_3(A, B, C))=k1_algseq_1(A, B)) ) ) ) ) ) ) ).
fof(d3_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_int_1(C) =>  ( (r1_xxreal_0(k5_numbers, C) => k2_polynom8(A, B, C)=k1_binop_1(k4_group_1(A), B, C))  &  ( ~ (r1_xxreal_0(k5_numbers, C))  => k2_polynom8(A, B, C)=k9_algstr_0(A, k9_nat_1(u1_struct_0(A), k4_group_1(A), B, k1_int_2(C)))) ) ) ) ) ) ) ) ).
fof(t13_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_polynom8(A, B, k5_numbers)=k5_struct_0(A)) ) ) ) ).
fof(t14_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_polynom8(A, B, 1)=B) ) ) ) ).
fof(t15_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_polynom8(A, B, k4_xcmplx_0(1))=k9_algstr_0(A, B)) ) ) ) ).
fof(t16_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  (! [B] :  (v1_int_1(B) => k2_polynom8(A, k5_struct_0(A), B)=k5_struct_0(A)) ) ) ) ).
fof(t17_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (k2_polynom8(A, B, k1_nat_1(C, 1))=k8_group_1(A, k2_polynom8(A, B, C), B) & k2_polynom8(A, B, k1_nat_1(C, 1))=k8_group_1(A, B, k2_polynom8(A, B, C))) ) ) ) ) ) ) ).
fof(t18_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (C=k4_struct_0(A))  => k9_algstr_0(A, k2_polynom8(A, C, B))=k2_polynom8(A, C, k4_xcmplx_0(B))) ) ) ) ) ) ) ).
fof(t19_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (C=k4_struct_0(A))  => k2_polynom8(A, C, k2_xcmplx_0(B, 1))=k8_group_1(A, k2_polynom8(A, C, B), k2_polynom8(A, C, 1))) ) ) ) ) ) ) ).
fof(t20_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (C=k4_struct_0(A))  => k2_polynom8(A, C, k6_xcmplx_0(B, 1))=k8_group_1(A, k2_polynom8(A, C, B), k2_polynom8(A, C, k4_xcmplx_0(1)))) ) ) ) ) ) ) ).
fof(t21_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ~ (D=k4_struct_0(A))  => k8_group_1(A, k2_polynom8(A, D, B), k2_polynom8(A, D, C))=k2_polynom8(A, D, k2_xcmplx_0(B, C))) ) ) ) ) ) ) ) ) ).
fof(t22_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_vectsp_1(A) &  (v4_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (C=k4_struct_0(A))  => k2_polynom8(A, k9_algstr_0(A, C), B)=k2_polynom8(A, C, k4_xcmplx_0(B))) ) ) ) ) ) ) ).
fof(t23_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (B=k4_struct_0(A))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) => k8_group_1(A, k2_polynom8(A, B, k3_xcmplx_0(k6_xcmplx_0(C, 1), k6_xcmplx_0(E, 1))), k2_polynom8(A, B, k4_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(D, 1), k6_xcmplx_0(E, 1)))))=k2_polynom8(A, B, k3_xcmplx_0(k6_xcmplx_0(C, D), k6_xcmplx_0(E, 1)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => k2_polynom8(A, B, k2_nat_1(C, D))=k2_polynom8(A, k2_polynom8(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t25_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (B=k4_struct_0(A))  =>  (! [C] :  (v1_int_1(C) => k2_polynom8(A, k9_algstr_0(A, B), C)=k9_algstr_0(A, k2_polynom8(A, B, C))) ) ) ) ) ) ) ).
fof(t26_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (B=k4_struct_0(A))  =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) => k2_polynom8(A, B, k3_xcmplx_0(C, D))=k2_polynom8(A, k2_polynom8(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t27_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (r1_xxreal_0(1, D) => k2_polynom8(A, B, k3_xcmplx_0(C, k6_xcmplx_0(D, 1)))=k2_polynom8(A, k2_binom(A, B, C), k6_xcmplx_0(D, 1))) ) ) ) ) ) ) ) ) ).
fof(d4_polynom8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, 1) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  (D=k3_polynom8(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, A))  => k3_matrix_0(u1_struct_0(B), D, E, 1)=k1_funct_1(C, k6_xcmplx_0(E, 1))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_polynom8, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) )  =>  (k3_finseq_1(k3_polynom8(A, B, C))=A &  (k1_matrix_0(k3_polynom8(A, B, C))=1 &  (! [D] :  (v7_ordinal1(D) =>  ( ~ (r1_xxreal_0(A, D))  => k3_matrix_0(u1_struct_0(B), k3_polynom8(A, B, C), k1_nat_1(D, 1), 1)=k8_nat_1(u1_struct_0(B), C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_polynom8, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(B), A, 1) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(B)))) )  =>  ( (! [E] :  (v7_ordinal1(E) =>  ( ~ (r1_xxreal_0(A, E))  => k3_matrix_0(u1_struct_0(B), D, k1_nat_1(E, 1), 1)=k8_nat_1(u1_struct_0(B), C, E)) ) )  => k3_polynom8(A, B, C)=D) ) ) ) ) ) ) ) ) ) ).
fof(d5_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(A))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (C=k4_polynom8(A, B) <=>  ( (! [D] :  (v7_ordinal1(D) =>  ( ~ (r1_xxreal_0(k3_finseq_1(B), D))  => k8_nat_1(u1_struct_0(A), C, D)=k3_matrix_0(u1_struct_0(A), B, k1_nat_1(D, 1), 1)) ) )  &  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(k3_finseq_1(B), D) => k8_nat_1(u1_struct_0(A), C, D)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r1_polynom8(A, B, C) <=>  ( ~ (C=k5_numbers)  &  (k2_binom(A, B, C)=k5_struct_0(A) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  ( ~ (r1_xxreal_0(C, D))  & k2_binom(A, B, D)=k5_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v1_vectsp_1(A) &  (v4_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ~ (r1_polynom8(A, k4_struct_0(A), B)) ) ) ) ) ).
fof(t31_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_polynom8(A, C, B) => r1_polynom8(A, k9_algstr_0(A, C), B)) ) ) ) ) ) ) ).
fof(t32_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_polynom8(A, C, B) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, B) &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, B) &  ( ~ (D=E)  & k2_polynom8(A, C, k6_xcmplx_0(D, E))=k5_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_polynom8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v4_vectsp_1(B) & l6_algstr_0(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(E, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) )  =>  (E=k5_polynom8(A, B, C, D) <=>  ( (! [F] :  (v7_ordinal1(F) =>  ( ~ (r1_xxreal_0(A, F))  => k8_nat_1(u1_struct_0(B), E, F)=k2_polynom4(B, C, k2_binom(B, D, F))) ) )  &  (! [F] :  (v7_ordinal1(F) =>  (r1_xxreal_0(A, F) => k8_nat_1(u1_struct_0(B), E, F)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_polynom8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v4_vectsp_1(B) & l6_algstr_0(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => r2_funct_2(k4_ordinal1, u1_struct_0(B), k5_polynom8(A, B, k9_polynom3(B), C), k9_polynom3(B))) ) ) ) ) ) ).
fof(t34_polynom8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => r2_funct_2(k4_ordinal1, u1_struct_0(B), k4_lopban_3(B, k5_polynom8(A, B, C, E), k5_polynom8(A, B, D, E)), k5_polynom8(A, B, k12_polynom3(B, C, D), E))) ) ) ) ) ) ) ) ) ) ).
fof(d8_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(A), B, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A)))) )  =>  (D=k6_polynom8(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, B) &  (r1_xxreal_0(1, F) & r1_xxreal_0(F, B)) ) )  => k3_matrix_0(u1_struct_0(A), D, E, F)=k2_polynom8(A, C, k3_xcmplx_0(k6_xcmplx_0(E, 1), k6_xcmplx_0(F, 1)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(A), B, C) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A)))) )  => k4_matrix_3(A, k3_matrix_1(A, B), D)=D) ) ) ) ) ) ) ) ) ).
fof(t36_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(A), B, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(A)))) )  =>  (! [D] :  ( (v1_matrix_0(D) &  (v2_matrix_0(D, u1_struct_0(A), B, B) & m2_finseq_1(D, k3_finseq_2(u1_struct_0(A)))) )  =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(A), B, B) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(A)))) )  =>  ( (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ( (r1_xxreal_0(1, F) &  (r1_xxreal_0(F, B) &  (r1_xxreal_0(1, G) & r1_xxreal_0(G, B)) ) )  => k3_matrix_0(u1_struct_0(A), k4_matrix_3(A, C, D), F, G)=k8_group_1(A, k1_polynom8(A, B), k3_matrix_0(u1_struct_0(A), E, F, G))) ) ) ) )  => k4_matrix_3(A, C, D)=k6_matrix_3(A, E, k1_polynom8(A, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  ( (r1_polynom8(A, B, F) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, F) &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, F) &  (k3_finseq_1(C)=F &  (! [G] :  (v7_ordinal1(G) =>  ( (r1_xxreal_0(1, G) & r1_xxreal_0(G, F))  => k7_partfun1(u1_struct_0(A), C, G)=k2_polynom8(A, B, k3_xcmplx_0(k6_xcmplx_0(D, E), k6_xcmplx_0(G, 1)))) ) ) ) ) ) ) ) )  => k3_matrix_0(u1_struct_0(A), k4_matrix_3(A, k6_polynom8(A, F, B), k6_polynom8(A, F, k9_algstr_0(A, B))), D, E)=k4_rlvect_1(A, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, B) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, B) & r1_polynom8(A, E, B)) ) ) )  =>  (C=D | k3_matrix_0(u1_struct_0(A), k4_matrix_3(A, k6_polynom8(A, B, E), k6_polynom8(A, B, k9_algstr_0(A, E))), C, D)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_polynom8(A, C, B) => k4_matrix_3(A, k6_polynom8(A, B, C), k6_polynom8(A, B, k9_algstr_0(A, C)))=k6_matrix_3(A, k3_matrix_1(A, B), k1_polynom8(A, B))) ) ) ) ) ) ) ) ).
fof(t40_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_polynom8(A, C, B) =>  (r1_xxreal_0(B, k5_numbers) | k4_matrix_3(A, k6_polynom8(A, B, C), k6_polynom8(A, B, k9_algstr_0(A, C)))=k4_matrix_3(A, k6_polynom8(A, B, k9_algstr_0(A, C)), k6_polynom8(A, B, C))) ) ) ) ) ) ) ) ).
fof(t41_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r1_xxreal_0(k1_algseq_1(A, B), C) =>  (r1_xxreal_0(C, k5_numbers) |  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( ~ (r1_xxreal_0(C, E))  => k8_nat_1(u1_struct_0(A), k5_polynom8(C, A, B, D), E)=k3_matrix_0(u1_struct_0(A), k4_matrix_3(A, k6_polynom8(A, C, D), k3_polynom8(C, A, B)), k1_nat_1(E, 1), 1)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(k1_algseq_1(A, B), C) =>  (r1_xxreal_0(C, k5_numbers) |  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k5_polynom8(C, A, B, D), k4_polynom8(A, k4_matrix_3(A, k6_polynom8(A, C, D), k3_polynom8(C, A, B))))) ) ) ) ) ) ) ) ) ) ).
fof(t43_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (r1_xxreal_0(k1_algseq_1(A, B), D) & r1_xxreal_0(k1_algseq_1(A, C), D))  =>  (r1_xxreal_0(D, k5_numbers) |  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_polynom8(A, E, k2_nat_1(2, D)) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k5_polynom8(k2_nat_1(2, D), A, k5_polynom8(k2_nat_1(2, D), A, k12_polynom3(A, B, C), E), k9_algstr_0(A, E)), k4_polynom5(A, k12_polynom3(A, B, C), k1_polynom8(A, k2_nat_1(2, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_polynom8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (r1_xxreal_0(k1_algseq_1(A, B), D) & r1_xxreal_0(k1_algseq_1(A, C), D))  =>  (r1_xxreal_0(D, k5_numbers) |  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_polynom8(A, E, k2_nat_1(2, D)) =>  (k1_polynom8(A, k2_nat_1(2, D))=k4_struct_0(A) | r2_funct_2(k4_ordinal1, u1_struct_0(A), k4_polynom5(A, k5_polynom8(k2_nat_1(2, D), A, k4_lopban_3(A, k5_polynom8(k2_nat_1(2, D), A, B, E), k5_polynom8(k2_nat_1(2, D), A, C, E)), k9_algstr_0(A, E)), k9_algstr_0(A, k1_polynom8(A, k2_nat_1(2, D)))), k12_polynom3(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_polynom8, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) & l6_algstr_0(A)) )  & m1_subset_1(B, k4_ordinal1))  => m1_subset_1(k1_polynom8(A, B), u1_struct_0(A))) ) ).
fof(dt_k2_polynom8, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & v1_int_1(C)) )  => m1_subset_1(k2_polynom8(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k3_polynom8, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) ) ) )  =>  (v1_matrix_0(k3_polynom8(A, B, C)) &  (v2_matrix_0(k3_polynom8(A, B, C), u1_struct_0(B), A, 1) & m2_finseq_1(k3_polynom8(A, B, C), k3_finseq_2(u1_struct_0(B)))) ) ) ) ).
fof(dt_k4_polynom8, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  &  (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(u1_struct_0(A)))) )  =>  (v1_funct_1(k4_polynom8(A, B)) &  (v1_funct_2(k4_polynom8(A, B), k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(k4_polynom8(A, B), A) & m1_subset_1(k4_polynom8(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ) ).
fof(dt_k5_polynom8, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ( ~ (v2_struct_0(B))  &  (v4_vectsp_1(B) & l6_algstr_0(B)) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) )  & m1_subset_1(D, u1_struct_0(B))) ) )  =>  (v1_funct_1(k5_polynom8(A, B, C, D)) &  (v1_funct_2(k5_polynom8(A, B, C, D), k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(k5_polynom8(A, B, C, D), B) & m1_subset_1(k5_polynom8(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) ) ) ) ).
fof(dt_k6_polynom8, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) )  &  (v7_ordinal1(B) & m1_subset_1(C, u1_struct_0(A))) )  =>  (v1_matrix_0(k6_polynom8(A, B, C)) &  (v2_matrix_0(k6_polynom8(A, B, C), u1_struct_0(A), B, B) & m2_finseq_1(k6_polynom8(A, B, C), k3_finseq_2(u1_struct_0(A)))) ) ) ) ).
fof(rc1_polyred, axiom,  (! [A, B] :  ( (v3_ordinal1(A) &  ( ~ (v7_struct_0(B))  & l2_struct_0(B)) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B)))) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k15_pre_poly(A)) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v1_partfun1(C, k15_pre_poly(A)) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom7(C, A, B) &  (v3_polynom7(C, A, B) & v1_polynom1(C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_polyred, axiom,  (? [A] :  (l6_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v5_algstr_0(A) &  (v6_algstr_0(A) &  (v7_algstr_0(A) &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v1_vectsp_1(A) &  (v2_vectsp_1(A) &  (v3_vectsp_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v6_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) &  (v1_algstr_1(A) &  (v2_algstr_1(A) &  (v3_algstr_1(A) & v4_algstr_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_polyred, axiom,  (! [A, B, C, D] :  ( (v3_ordinal1(A) &  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_vectsp_2(B) &  (v1_algstr_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom7(C, A, B) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom7(D, A, B) &  (v1_polynom1(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) ) ) ) ) )  =>  (v1_funct_1(k10_polynom1(A, B, C, D)) &  (v1_funct_2(k10_polynom1(A, B, C, D), k15_pre_poly(A), u1_struct_0(B)) & v1_polynom7(k10_polynom1(A, B, C, D), A, B)) ) ) ) ).
fof(fc2_polyred, axiom,  (! [A, B, C, D] :  ( (v3_ordinal1(A) &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  & l2_struct_0(C))  &  (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) ) ) )  =>  (v1_funct_1(k1_polyred(A, B, C, D)) &  (v1_funct_2(k1_polyred(A, B, C, D), k15_pre_poly(A), u1_struct_0(C)) & v1_polynom1(k1_polyred(A, B, C, D), C)) ) ) ) ).
fof(fc3_polyred, axiom,  (! [A, B] :  ( (v3_ordinal1(A) &  (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (v1_orders_2(g1_orders_2(k15_pre_poly(A), B)) & v16_waybel_0(g1_orders_2(k15_pre_poly(A), B))) ) ) ).
fof(fc4_polyred, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (v1_orders_2(g1_orders_2(k15_pre_poly(A), B)) & v1_wellfnd1(g1_orders_2(k15_pre_poly(A), B))) ) ) ).
fof(fc5_polyred, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C))))) ) )  => v3_rewrite1(k3_polyred(A, B, C, D))) ) ).
fof(t1_polyred, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  => r2_funct_2(k15_pre_poly(A), u1_struct_0(B), k5_vfunct_1(k15_pre_poly(A), B, k6_polynom1(A, B, C, D)), k6_polynom1(A, B, k5_vfunct_1(k15_pre_poly(A), B, C), k5_vfunct_1(k15_pre_poly(A), B, D)))) ) ) ) ) ) ) ).
fof(t2_polyred, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_algstr_1(B) & l2_algstr_0(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  => r2_funct_2(k15_pre_poly(A), u1_struct_0(B), k5_polynom1(A, B, k8_polynom1(A, B), C), C)) ) ) ) ) ).
fof(t3_polyred, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (r2_funct_2(k15_pre_poly(A), u1_struct_0(B), k5_polynom1(A, B, k5_vfunct_1(k15_pre_poly(A), B, C), C), k8_polynom1(A, B)) & r2_funct_2(k15_pre_poly(A), u1_struct_0(B), k5_polynom1(A, B, C, k5_vfunct_1(k15_pre_poly(A), B, C)), k8_polynom1(A, B))) ) ) ) ) ) ).
fof(t4_polyred, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  => r2_funct_2(k15_pre_poly(A), u1_struct_0(B), k7_polynom1(A, B, C, k8_polynom1(A, B)), C)) ) ) ) ) ).
fof(t5_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v5_algstr_0(B) &  (v13_algstr_0(B) &  (v2_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  => r2_funct_2(k15_pre_poly(A), u1_struct_0(B), k10_polynom1(A, B, k8_polynom1(A, B), C), k8_polynom1(A, B))) ) ) ) ) ) ).
fof(t6_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (r2_funct_2(k15_pre_poly(A), u1_struct_0(B), k5_vfunct_1(k15_pre_poly(A), B, k11_polynom1(A, B, C, D)), k11_polynom1(A, B, k5_vfunct_1(k15_pre_poly(A), B, C), D)) & r2_funct_2(k15_pre_poly(A), u1_struct_0(B), k5_vfunct_1(k15_pre_poly(A), B, k11_polynom1(A, B, C, D)), k11_polynom1(A, B, C, k5_vfunct_1(k15_pre_poly(A), B, D)))) ) ) ) ) ) ) ) ) ).
fof(t7_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v5_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) &  (v3_polynom7(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) )  => k4_polynom1(A, B, k10_polynom1(A, B, D, C), k11_pre_poly(A, k2_polynom7(A, B, D), E))=k6_algstr_0(B, k4_polynom1(A, B, D, k2_polynom7(A, B, D)), k4_polynom1(A, B, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t8_polyred, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v5_algstr_0(B) &  (v2_vectsp_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  => r2_funct_2(k15_pre_poly(A), u1_struct_0(B), k5_polynom7(A, B, C, k4_struct_0(B)), k8_polynom1(A, B))) ) ) ) ) ).
fof(t9_polyred, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v5_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r2_funct_2(k15_pre_poly(A), u1_struct_0(B), k5_vfunct_1(k15_pre_poly(A), B, k5_polynom7(A, B, C, D)), k5_polynom7(A, B, C, k4_algstr_0(B, D))) & r2_funct_2(k15_pre_poly(A), u1_struct_0(B), k5_vfunct_1(k15_pre_poly(A), B, k5_polynom7(A, B, C, D)), k5_polynom7(A, B, k5_vfunct_1(k15_pre_poly(A), B, C), D))) ) ) ) ) ) ) ) ).
fof(t10_polyred, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_vectsp_1(B) & l6_algstr_0(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => r2_funct_2(k15_pre_poly(A), u1_struct_0(B), k5_polynom1(A, B, k5_polynom7(A, B, C, D), k5_polynom7(A, B, C, E)), k5_polynom7(A, B, C, k1_algstr_0(B, D, E)))) ) ) ) ) ) ) ) ) ).
fof(t11_polyred, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_group_1(B) & l5_algstr_0(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => r2_funct_2(k15_pre_poly(A), u1_struct_0(B), k5_polynom7(A, B, C, k6_algstr_0(B, D, E)), k5_polynom7(A, B, k5_polynom7(A, B, C, E), D))) ) ) ) ) ) ) ) ) ).
fof(t12_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => r2_funct_2(k15_pre_poly(A), u1_struct_0(B), k5_polynom7(A, B, k10_polynom1(A, B, C, D), E), k10_polynom1(A, B, C, k5_polynom7(A, B, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(d1_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_struct_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) )  =>  (E=k1_polyred(A, B, C, D) <=>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) &  (v1_partfun1(F, A) &  (v4_valued_0(F) & v2_pre_poly(F)) ) ) ) )  =>  (r3_pre_poly(A, B, F) =>  (k4_polynom1(A, C, E, F)=k4_polynom1(A, C, D, k12_pre_poly(A, F, B)) &  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, A) &  (v1_funct_1(G) &  (v1_partfun1(G, A) &  (v4_valued_0(G) & v2_pre_poly(G)) ) ) ) )  =>  ( ~ (r3_pre_poly(A, B, G))  => k4_polynom1(A, C, E, G)=k4_struct_0(C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l2_struct_0(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(D))))) )  => k4_polynom1(A, D, k1_polyred(A, B, D, E), k11_pre_poly(A, C, B))=k4_polynom1(A, D, E, C)) ) ) ) ) ) ) ) ) ) ).
fof(t15_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  & l2_struct_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom7(D, A, C) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) )  => k3_termord(A, B, C, k1_polyred(A, E, C, D))=k11_pre_poly(A, E, k3_termord(A, B, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t16_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_struct_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) &  (v1_partfun1(F, A) &  (v4_valued_0(F) & v2_pre_poly(F)) ) ) ) )  =>  (r2_tarski(F, k3_polynom1(k15_pre_poly(A), C, k1_polyred(A, E, C, D))) => r1_termord(A, B, F, k11_pre_poly(A, E, k3_termord(A, B, C, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_struct_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) )  => r2_funct_2(k15_pre_poly(A), u1_struct_0(C), k1_polyred(A, k16_pre_poly(A), C, D), D)) ) ) ) ) ) ) ) ).
fof(t18_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_struct_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) &  (v1_partfun1(F, A) &  (v4_valued_0(F) & v2_pre_poly(F)) ) ) ) )  => r2_funct_2(k15_pre_poly(A), u1_struct_0(C), k1_polyred(A, k11_pre_poly(A, E, F), C, D), k1_polyred(A, E, C, k1_polyred(A, F, C, D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v5_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => r1_tarski(k3_polynom1(k15_pre_poly(A), B, k5_polynom7(A, B, C, D)), k3_polynom1(k15_pre_poly(A), B, C))) ) ) ) ) ) ) ) ).
fof(t20_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v1_vectsp_2(B) & l6_algstr_0(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (! [D] :  ( ( ~ (v9_struct_0(D, B))  & m1_subset_1(D, u1_struct_0(B)))  => r1_tarski(k3_polynom1(k15_pre_poly(A), B, C), k3_polynom1(k15_pre_poly(A), B, k5_polynom7(A, B, C, D)))) ) ) ) ) ) ) ) ).
fof(t21_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_vectsp_2(C) & l6_algstr_0(C)) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( ( ~ (v9_struct_0(E, C))  & m1_subset_1(E, u1_struct_0(C)))  => k3_termord(A, B, C, k5_polynom7(A, C, D, E))=k3_termord(A, B, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t22_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v5_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => r2_funct_2(k15_pre_poly(A), u1_struct_0(B), k5_polynom7(A, B, k1_polyred(A, D, B, C), E), k10_polynom1(A, B, k1_polynom7(A, B, E, D), C))) ) ) ) ) ) ) ) ) ) ).
fof(t23_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v1_vectsp_2(C) & l6_algstr_0(C)) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom7(D, A, C) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom7(F, A, C) &  (v3_polynom7(F, A, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  =>  (r2_tarski(k3_termord(A, B, C, D), k3_polynom1(k15_pre_poly(A), C, E)) => r2_tarski(k3_termord(A, B, C, k10_polynom1(A, C, F, D)), k3_polynom1(k15_pre_poly(A), C, k10_polynom1(A, C, F, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_struct_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (r1_polyred(A, B, C, D, E) <=> r2_hidden(k4_tarski(k3_polynom1(k15_pre_poly(A), C, D), k3_polynom1(k15_pre_poly(A), C, E)), k13_bagorder(g1_orders_2(k15_pre_poly(A), B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_struct_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (r2_polyred(A, B, C, D, E) <=>  (r1_polyred(A, B, C, D, E) &  ~ (k3_polynom1(k15_pre_poly(A), C, D)=k3_polynom1(k15_pre_poly(A), C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_struct_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  => k2_polyred(A, B, C, D)=k3_polynom1(k15_pre_poly(A), C, D)) ) ) ) ) ) ) ) ).
fof(t24_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  & l2_struct_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom7(D, A, C) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  => k11_bagorder(g1_orders_2(k15_pre_poly(A), B), k2_polyred(A, B, C, D))=k3_termord(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t25_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_algstr_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  => r1_polyred(A, B, C, D, D)) ) ) ) ) ) ) ) ).
fof(t26_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_algstr_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  ( (r1_polyred(A, B, C, D, E) & r1_polyred(A, B, C, E, D))  <=> k3_polynom1(k15_pre_poly(A), C, D)=k3_polynom1(k15_pre_poly(A), C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_algstr_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  ( (r1_polyred(A, B, C, D, E) & r1_polyred(A, B, C, E, F))  => r1_polyred(A, B, C, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_algstr_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (r1_polyred(A, B, C, D, E) | r1_polyred(A, B, C, E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_algstr_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (r1_polyred(A, B, C, D, E) <=>  ~ (r2_polyred(A, B, C, E, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l2_struct_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  => r1_polyred(A, B, C, k8_polynom1(A, C), D)) ) ) ) ) ) ) ) ).
fof(t31_polyred, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l6_algstr_0(C)) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))))  =>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  &  (r2_tarski(E, D) &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (r2_tarski(F, D) => r1_polyred(A, B, C, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (r2_polyred(A, B, C, D, E) <=>  ~ ( ( ~ ( (r2_funct_2(k15_pre_poly(A), u1_struct_0(C), D, k8_polynom1(A, C)) &  ~ (E=k8_polynom1(A, C)) ) )  &  ( ~ (r2_termord(A, B, k3_termord(A, B, C, D), k3_termord(A, B, C, E)))  &  ~ ( (k3_termord(A, B, C, D)=k3_termord(A, B, C, E) & r2_polyred(A, B, C, k6_termord(A, B, C, D), k6_termord(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom7(D, A, C) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  => r2_polyred(A, B, C, k6_termord(A, B, C, D), k5_termord(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t34_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  => r1_polyred(A, B, C, k5_termord(A, B, C, D), D)) ) ) ) ) ) ) ) ).
fof(t35_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) & l2_algstr_0(C)) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom7(D, A, C) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  => r2_polyred(A, B, C, k6_termord(A, B, C, D), D)) ) ) ) ) ) ) ) ).
fof(d5_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, A) &  (v1_funct_1(G) &  (v1_partfun1(G, A) &  (v4_valued_0(G) & v2_pre_poly(G)) ) ) ) )  =>  (r3_polyred(A, B, C, D, E, F, G) <=>  ( ~ (D=k8_polynom1(A, C))  &  ( ~ (E=k8_polynom1(A, C))  &  (r2_tarski(G, k3_polynom1(k15_pre_poly(A), C, D)) &  (? [H] :  ( (v1_relat_1(H) &  (v4_relat_1(H, A) &  (v1_funct_1(H) &  (v1_partfun1(H, A) &  (v4_valued_0(H) & v2_pre_poly(H)) ) ) ) )  &  (k11_pre_poly(A, H, k3_termord(A, B, C, E))=G & r2_funct_2(k15_pre_poly(A), u1_struct_0(C), F, k7_polynom1(A, C, D, k5_polynom7(A, C, k1_polyred(A, H, C, E), k12_algstr_0(C, k4_polynom1(A, C, D, G), k4_termord(A, B, C, E)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (r4_polyred(A, B, C, D, E, F) <=>  (? [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, A) &  (v1_funct_1(G) &  (v1_partfun1(G, A) &  (v4_valued_0(G) & v2_pre_poly(G)) ) ) ) )  & r3_polyred(A, B, C, D, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  (r5_polyred(A, B, C, D, E, F) <=>  (? [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(G, C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  &  (r2_tarski(G, F) & r4_polyred(A, B, C, D, G, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (r6_polyred(A, B, C, D, E) <=>  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  & r4_polyred(A, B, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  (r7_polyred(A, B, C, D, E) <=>  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  & r5_polyred(A, B, C, D, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (r8_polyred(A, B, C, D, E, F) <=> r3_polyred(A, B, C, D, E, F, k3_termord(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (r9_polyred(A, B, C, D, E) <=>  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  & r8_polyred(A, B, C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  (r10_polyred(A, B, C, D, E) <=>  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  &  (r2_tarski(F, E) & r9_polyred(A, B, C, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom7(E, A, C) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  =>  (r6_polyred(A, B, C, D, E) <=>  (? [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) &  (v1_partfun1(F, A) &  (v4_valued_0(F) & v2_pre_poly(F)) ) ) ) )  &  (r2_tarski(F, k3_polynom1(k15_pre_poly(A), C, D)) & r3_pre_poly(A, k3_termord(A, B, C, E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  ~ (r6_polyred(A, B, C, k8_polynom1(A, C), D)) ) ) ) ) ) ) ) ) ).
fof(t38_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom7(F, A, C) &  (v3_polynom7(F, A, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  =>  (r4_polyred(A, B, C, D, E, k7_polynom1(A, C, D, k11_polynom1(A, C, F, E))) => r2_tarski(k3_termord(A, B, C, k11_polynom1(A, C, F, E)), k3_polynom1(k15_pre_poly(A), C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, A) &  (v1_funct_1(G) &  (v1_partfun1(G, A) &  (v4_valued_0(G) & v2_pre_poly(G)) ) ) ) )  =>  ~ ( (r3_polyred(A, B, C, D, E, F, G) & r2_tarski(G, k3_polynom1(k15_pre_poly(A), C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, A) &  (v1_funct_1(G) &  (v1_partfun1(G, A) &  (v4_valued_0(G) & v2_pre_poly(G)) ) ) ) )  =>  (! [H] :  ( (v1_relat_1(H) &  (v4_relat_1(H, A) &  (v1_funct_1(H) &  (v1_partfun1(H, A) &  (v4_valued_0(H) & v2_pre_poly(H)) ) ) ) )  =>  ( (r2_termord(A, B, G, H) & r3_polyred(A, B, C, D, E, F, G))  =>  (r2_tarski(H, k3_polynom1(k15_pre_poly(A), C, F)) <=> r2_tarski(H, k3_polynom1(k15_pre_poly(A), C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, A) &  (v1_funct_1(G) &  (v1_partfun1(G, A) &  (v4_valued_0(G) & v2_pre_poly(G)) ) ) ) )  =>  (! [H] :  ( (v1_relat_1(H) &  (v4_relat_1(H, A) &  (v1_funct_1(H) &  (v1_partfun1(H, A) &  (v4_valued_0(H) & v2_pre_poly(H)) ) ) ) )  =>  ( (r2_termord(A, B, G, H) & r3_polyred(A, B, C, D, E, F, G))  => k4_polynom1(A, C, D, H)=k4_polynom1(A, C, F, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (r4_polyred(A, B, C, D, E, F) =>  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, A) &  (v1_funct_1(G) &  (v1_partfun1(G, A) &  (v4_valued_0(G) & v2_pre_poly(G)) ) ) ) )  =>  (r2_tarski(G, k3_polynom1(k15_pre_poly(A), C, F)) => r1_termord(A, B, G, k3_termord(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (r4_polyred(A, B, C, D, E, F) => r2_polyred(A, B, C, F, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k8_struct_0(k12_polynom1(A, C)), u1_struct_0(k12_polynom1(A, C))))) =>  (E=k3_polyred(A, B, C, D) <=>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(G, C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (r2_hidden(k4_tarski(F, G), E) <=> r5_polyred(A, B, C, F, G, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  (r1_rewrite1(k3_polyred(A, B, C, F), D, E) =>  (r1_polyred(A, B, C, E, D) &  (r2_funct_2(k15_pre_poly(A), u1_struct_0(C), E, k8_polynom1(A, C)) | r1_termord(A, B, k3_termord(A, B, C, E), k3_termord(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_polyred, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v1_algstr_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (r2_tarski(E, D) => r1_rewrite1(k3_polyred(A, B, C, D), k11_polynom1(A, C, F, E), k8_polynom1(A, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom7(G, A, C) &  (v3_polynom7(G, A, C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) )  =>  (r5_polyred(A, B, C, E, F, D) => r5_polyred(A, B, C, k11_polynom1(A, C, G, E), k11_polynom1(A, C, G, F), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k15_pre_poly(A), u1_struct_0(C)) &  (v3_polynom7(G, A, C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (r1_rewrite1(k3_polyred(A, B, C, D), E, F) => r1_rewrite1(k3_polyred(A, B, C, D), k11_polynom1(A, C, G, E), k11_polynom1(A, C, G, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v3_polynom7(F, A, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (r1_rewrite1(k3_polyred(A, B, C, D), E, k8_polynom1(A, C)) => r1_rewrite1(k3_polyred(A, B, C, D), k11_polynom1(A, C, F, E), k8_polynom1(A, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(G, C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(H, C) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  ~ ( (r2_funct_2(k15_pre_poly(A), u1_struct_0(C), k7_polynom1(A, C, E, F), G) &  (r1_rewrite1(k3_polyred(A, B, C, D), G, H) &  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(I, C) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(J, C) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  ~ ( (r2_funct_2(k15_pre_poly(A), u1_struct_0(C), k7_polynom1(A, C, I, J), H) &  (r1_rewrite1(k3_polyred(A, B, C, D), E, I) & r1_rewrite1(k3_polyred(A, B, C, D), F, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (r1_rewrite1(k3_polyred(A, B, C, D), k7_polynom1(A, C, E, F), k8_polynom1(A, C)) => r5_rewrite1(k3_polyred(A, B, C, D), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (r1_rewrite1(k3_polyred(A, B, C, D), k7_polynom1(A, C, E, F), k8_polynom1(A, C)) => r2_rewrite1(k3_polyred(A, B, C, D), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_polyred, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r11_polyred(A, B, C, D) <=> r2_tarski(k5_algstr_0(A, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t52_polyred, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v1_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_algstr_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r11_polyred(A, B, C, C)) ) ) ) ) ) ).
fof(t53_polyred, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v1_vectsp_1(A) &  (v4_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r11_polyred(A, B, C, D) => r11_polyred(A, B, D, C)) ) ) ) ) ) ) ) ) ).
fof(t54_polyred, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r11_polyred(A, B, C, D) & r11_polyred(A, B, D, E))  => r11_polyred(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_polyred, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r11_polyred(A, B, C, D) & r11_polyred(A, B, E, F))  => r11_polyred(A, B, k3_rlvect_1(A, C, E), k3_rlvect_1(A, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_polyred, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r11_polyred(A, B, C, D) & r11_polyred(A, B, E, F))  => r11_polyred(A, B, k8_group_1(A, C, E), k8_group_1(A, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k12_polynom1(A, C))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k12_polynom1(A, C))) =>  (r2_rewrite1(k3_polyred(A, B, C, D), E, F) => r11_polyred(k12_polynom1(A, C), k7_ideal_1(k12_polynom1(A, C), D), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_polyred, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) &  (v2_bagorder(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))))  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k12_polynom1(A, C))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k12_polynom1(A, C))) =>  (r11_polyred(k12_polynom1(A, C), k7_ideal_1(k12_polynom1(A, C), D), E, F) => r2_rewrite1(k3_polyred(A, B, C, D), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(F, C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (r1_rewrite1(k3_polyred(A, B, C, D), E, F) => r2_tarski(k7_polynom1(A, C, E, F), k7_ideal_1(k12_polynom1(A, C), D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  =>  (! [C] :  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C)))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(E, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) )  =>  (r1_rewrite1(k3_polyred(A, B, C, D), E, k8_polynom1(A, C)) => r2_tarski(E, k7_ideal_1(k12_polynom1(A, C), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_polyred, axiom,  (! [A, B, C, D] :  ( (v3_ordinal1(A) &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  & l2_struct_0(C))  &  (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) ) )  =>  (v1_funct_1(k1_polyred(A, B, C, D)) &  (v1_funct_2(k1_polyred(A, B, C, D), k15_pre_poly(A), u1_struct_0(C)) & m1_subset_1(k1_polyred(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) ) ).
fof(dt_k2_polyred, axiom,  (! [A, B, C, D] :  ( (v3_ordinal1(A) &  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  & l2_struct_0(C))  &  (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(A), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(C))))) ) ) ) ) )  => m1_subset_1(k2_polyred(A, B, C, D), k5_finsub_1(u1_struct_0(g1_orders_2(k15_pre_poly(A), B))))) ) ).
fof(dt_k3_polyred, axiom,  (! [A, B, C, D] :  ( (v3_ordinal1(A) &  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) )  &  ( ( ~ (v7_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k12_polynom1(A, C))))) ) )  => m1_subset_1(k3_polyred(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k8_struct_0(k12_polynom1(A, C)), u1_struct_0(k12_polynom1(A, C)))))) ) ).
fof(t14_polyred, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  => r1_tarski(k3_polynom1(k15_pre_poly(A), B, k1_polyred(A, D, B, C)), a_4_0_polyred(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_polyred, axiom,  (! [A, B, C, D, E] :  ( (v3_ordinal1(B) &  ( ( ~ (v2_struct_0(C))  & l2_struct_0(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k15_pre_poly(B), u1_struct_0(C)) &  (v1_polynom1(D, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B), u1_struct_0(C))))) ) )  &  (v1_relat_1(E) &  (v4_relat_1(E, B) &  (v1_funct_1(E) &  (v1_partfun1(E, B) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) ) ) ) )  =>  (r2_hidden(A, a_4_0_polyred(B, C, D, E)) <=>  (? [F] :  (m2_subset_1(F, k14_pre_poly(B), k15_pre_poly(B)) &  (A=k11_pre_poly(B, E, F) & r2_tarski(F, k3_polynom1(k15_pre_poly(B), C, D))) ) ) ) ) ) ).
fof(fc1_polyvie1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_finseq_1(A), k4_finseq_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(A), k4_finseq_1(A))))) ) )  =>  (v1_relat_1(k3_relat_1(B, A)) & v1_finseq_1(k3_relat_1(B, A))) ) ) ).
fof(fc2_polyvie1, axiom,  (! [A, B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(A)))  =>  (v1_relat_1(k19_finseq_1(B)) &  (v5_relat_1(k19_finseq_1(B), A) &  (v1_funct_1(k19_finseq_1(B)) & v1_finseq_1(k19_finseq_1(B))) ) ) ) ) ).
fof(cc1_polyvie1, axiom,  (! [A] :  ( (v33_algstr_0(A) & l5_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (v9_struct_0(B, A))  => v23_algstr_0(B, A)) ) ) ) ) ).
fof(cc2_polyvie1, axiom,  (! [A] :  ( (v34_algstr_0(A) & l5_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (v9_struct_0(B, A))  => v24_algstr_0(B, A)) ) ) ) ) ).
fof(cc3_polyvie1, axiom,  (! [A] :  ( (v30_algstr_0(A) & l5_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (v9_struct_0(B, A))  => v16_algstr_0(B, A)) ) ) ) ) ).
fof(cc4_polyvie1, axiom,  (! [A] :  ( (v31_algstr_0(A) & l5_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (v9_struct_0(B, A))  => v17_algstr_0(B, A)) ) ) ) ) ).
fof(fc3_polyvie1, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  & l4_struct_0(A))  &  (m1_subset_1(B, u1_struct_0(A)) &  ( ~ (v9_struct_0(C, A))  & m1_subset_1(C, u1_struct_0(A))) ) )  =>  (v1_funct_1(k5_polynom5(A, B, C)) &  (v1_funct_2(k5_polynom5(A, B, C), k4_ordinal1, u1_struct_0(A)) & v1_uproots(k5_polynom5(A, B, C), A)) ) ) ) ).
fof(fc4_polyvie1, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  & l4_struct_0(A))  &  (m1_subset_1(B, u1_struct_0(A)) &  ( ~ (v9_struct_0(C, A))  & m1_subset_1(C, u1_struct_0(A))) ) )  =>  (v1_funct_1(k5_polynom5(A, C, B)) &  (v1_funct_2(k5_polynom5(A, C, B), k4_ordinal1, u1_struct_0(A)) & v1_uproots(k5_polynom5(A, C, B), A)) ) ) ) ).
fof(t1_polyvie1, axiom,  (! [A] :  (! [B] :  ~ ( ( ~ (A=B)  &  ( ~ (k20_finseq_1(k2_tarski(A, B))=k10_finseq_1(A, B))  &  ~ (k20_finseq_1(k2_tarski(A, B))=k10_finseq_1(B, A)) ) ) ) ) ) ).
fof(t2_polyvie1, axiom,  (! [A] :  (v1_finset_1(A) => m1_rlaffin3(k20_finseq_1(A), A)) ) ).
fof(t3_polyvie1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_rlvect_1(A) & l2_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_binom(A, B, 2)=k1_algstr_0(A, B, B)) ) ) ) ).
fof(t4_polyvie1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v3_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v23_algstr_0(C, A) &  (v17_algstr_0(C, A) & k6_algstr_0(A, C, k9_algstr_0(A, C))=k6_algstr_0(A, k9_algstr_0(A, C), C)) )  => k12_algstr_0(A, k6_algstr_0(A, B, C), C)=B) ) ) ) ) ) ) ).
fof(t5_polyvie1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ~ ( (k1_algseq_1(A, B)=1 &  (! [C] :  ( ( ~ (v9_struct_0(C, A))  & m1_subset_1(C, u1_struct_0(A)))  =>  ~ (r2_funct_2(k4_ordinal1, u1_struct_0(A), B, k2_algseq_1(A, C))) ) ) ) ) ) ) ) ) ).
fof(t6_polyvie1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ~ ( (k1_algseq_1(A, B)=2 &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v9_struct_0(D, A))  & m1_subset_1(D, u1_struct_0(A)))  =>  ~ (r2_funct_2(k4_ordinal1, u1_struct_0(A), B, k5_polynom5(A, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_polyvie1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ~ ( (k1_algseq_1(A, B)=3 &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  ( ( ~ (v9_struct_0(E, A))  & m1_subset_1(E, u1_struct_0(A)))  =>  ~ (r2_funct_2(k4_ordinal1, u1_struct_0(A), B, k1_niven(A, C, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_polyvie1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) &  (v4_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ~ (C=k4_struct_0(A))  => k2_polynom4(A, k5_polynom5(A, B, C), k4_algstr_0(A, k12_algstr_0(A, B, C)))=k4_struct_0(A)) ) ) ) ) ) ) ) ) ).
fof(t9_polyvie1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v9_struct_0(D, A))  & m1_subset_1(D, u1_struct_0(A)))  =>  (r1_polynom5(A, k5_polynom5(A, B, D), C) <=> C=k4_algstr_0(A, k12_algstr_0(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t10_polyvie1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v9_struct_0(C, A))  & m1_subset_1(C, u1_struct_0(A)))  => k7_polynom5(A, k5_polynom5(A, B, C))=k6_domain_1(u1_struct_0(A), k4_algstr_0(A, k12_algstr_0(A, B, C)))) ) ) ) ) ) ).
fof(t11_polyvie1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v9_struct_0(C, A))  & m1_subset_1(C, u1_struct_0(A)))  => k6_uproots(A, k4_algstr_0(A, k12_algstr_0(A, B, C)), k5_polynom5(A, B, C))=1) ) ) ) ) ) ).
fof(t12_polyvie1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v9_struct_0(C, A))  & m1_subset_1(C, u1_struct_0(A)))  => k7_uproots(A, k5_polynom5(A, B, C))=k1_uproots(u1_struct_0(A), k6_domain_1(u1_struct_0(A), k4_algstr_0(A, k12_algstr_0(A, B, C))), 1)) ) ) ) ) ) ).
fof(t13_polyvie1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v9_struct_0(D, A))  & m1_subset_1(D, u1_struct_0(A)))  =>  (! [E] :  ( ( ~ (v9_struct_0(E, A))  & m1_subset_1(E, u1_struct_0(A)))  => k7_polynom5(A, k12_polynom3(A, k5_polynom5(A, B, D), k5_polynom5(A, C, E)))=k7_domain_1(u1_struct_0(A), k4_algstr_0(A, k12_algstr_0(A, B, D)), k4_algstr_0(A, k12_algstr_0(A, C, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t14_polyvie1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v9_struct_0(D, A))  & m1_subset_1(D, u1_struct_0(A)))  =>  ( ~ (C=k4_algstr_0(A, k12_algstr_0(A, B, D)))  => k6_uproots(A, C, k5_polynom5(A, B, D))=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(t15_polyvie1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v9_struct_0(D, A))  & m1_subset_1(D, u1_struct_0(A)))  =>  ( ~ (r2_tarski(k4_algstr_0(A, k12_algstr_0(A, C, D)), k7_polynom5(A, B)))  => k4_card_1(k7_polynom5(A, k12_polynom3(A, k5_polynom5(A, C, D), B)))=k1_nat_1(1, k4_card_1(k7_polynom5(A, B)))) ) ) ) ) ) ) ) ) ).
fof(t16_polyvie1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v9_struct_0(D, A))  & m1_subset_1(D, u1_struct_0(A)))  =>  ( ~ (r2_tarski(k4_algstr_0(A, k12_algstr_0(A, C, D)), k7_polynom5(A, B)))  => m2_rlaffin3(k7_finseq_1(k20_finseq_1(k7_polynom5(A, B)), k3_pre_poly(u1_struct_0(A), k4_algstr_0(A, k12_algstr_0(A, C, D)))), u1_struct_0(A), k7_polynom5(A, k12_polynom3(A, k5_polynom5(A, C, D), B)))) ) ) ) ) ) ) ) ) ).
fof(t17_polyvie1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v9_struct_0(D, A))  & m1_subset_1(D, u1_struct_0(A)))  =>  (! [E] :  (m2_rlaffin3(E, u1_struct_0(A), k7_polynom5(A, k12_polynom3(A, k5_polynom5(A, C, D), B))) =>  (E=k7_finseq_1(k20_finseq_1(k7_polynom5(A, B)), k3_pre_poly(u1_struct_0(A), k4_algstr_0(A, k12_algstr_0(A, C, D)))) =>  (k3_finseq_1(E)=k1_nat_1(1, k4_card_1(k7_polynom5(A, B))) &  (k1_funct_1(E, k1_nat_1(1, k4_card_1(k7_polynom5(A, B))))=k4_algstr_0(A, k12_algstr_0(A, C, D)) &  (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(1, F) & r1_xxreal_0(F, k4_card_1(k7_polynom5(A, B))))  => k1_funct_1(E, F)=k1_funct_1(k20_finseq_1(k7_polynom5(A, B)), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_polyvie1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_finseq_1(C)) ) )  =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (D=k1_polyvie1(A, B, C) <=>  (k3_finseq_1(D)=k3_finseq_1(C) &  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, k3_finseq_1(D)))  => k1_funct_1(D, E)=k5_binom(A, k7_partfun1(u1_struct_0(A), C, E), k1_funct_1(k3_relat_1(C, B), E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_polyvie1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  (m2_rlaffin3(D, u1_struct_0(A), k7_polynom5(A, B)) =>  (k7_polynom5(A, B)=k1_xboole_0 => k1_polyvie1(A, C, D)=k1_xboole_0) ) ) ) ) ) ) ) ) ).
fof(t19_polyvie1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_algstr_1(A) &  (v3_rlvect_1(A) & l6_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) & v1_finseq_1(D)) ) )  => k1_polyvie1(A, k11_pre_poly(u1_struct_0(A), B, C), D)=k3_fvsum_1(A, k1_polyvie1(A, B, D), k1_polyvie1(A, C, D))) ) ) ) ) ) ) ) ).
fof(t20_polyvie1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_algstr_1(A) &  (v3_rlvect_1(A) & l6_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_finseq_1(C)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) & v1_finseq_1(D)) ) )  => k1_polyvie1(A, B, k7_finseq_1(C, D))=k8_finseq_1(u1_struct_0(A), k1_polyvie1(A, B, C), k1_polyvie1(A, B, D))) ) ) ) ) ) ) ) ).
fof(t21_polyvie1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_algstr_1(A) &  (v3_rlvect_1(A) & l6_algstr_0(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) & v1_finseq_1(D)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v5_relat_1(E, u1_struct_0(A)) &  (v1_funct_1(E) & v1_finseq_1(E)) ) )  => k1_polyvie1(A, k11_pre_poly(u1_struct_0(A), B, C), k7_finseq_1(D, E))=k3_fvsum_1(A, k8_finseq_1(u1_struct_0(A), k1_polyvie1(A, B, D), k1_polyvie1(A, B, E)), k8_finseq_1(u1_struct_0(A), k1_polyvie1(A, C, D), k1_polyvie1(A, C, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t22_polyvie1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v9_struct_0(D, A))  & m1_subset_1(D, u1_struct_0(A)))  =>  (! [E] :  (m2_rlaffin3(E, u1_struct_0(A), k7_polynom5(A, k12_polynom3(A, k5_polynom5(A, C, D), B))) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_finseq_1(E), k4_finseq_1(E)) &  (v3_funct_2(F, k4_finseq_1(E), k4_finseq_1(E)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(E), k4_finseq_1(E))))) ) )  => k1_partfun1(k4_finseq_1(E), k4_finseq_1(E), k4_ordinal1, u1_struct_0(A), F, k1_polyvie1(A, k7_uproots(A, k12_polynom3(A, k5_polynom5(A, C, D), B)), E))=k1_polyvie1(A, k7_uproots(A, k12_polynom3(A, k5_polynom5(A, C, D), B)), k1_partfun1(k4_finseq_1(E), k4_finseq_1(E), k4_ordinal1, u1_struct_0(A), F, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_polyvie1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v9_struct_0(D, A))  & m1_subset_1(D, u1_struct_0(A)))  =>  ( ~ (r2_tarski(k4_algstr_0(A, k12_algstr_0(A, C, D)), k7_polynom5(A, B)))  =>  (! [E] :  (m2_rlaffin3(E, u1_struct_0(A), k7_polynom5(A, k12_polynom3(A, k5_polynom5(A, C, D), B))) =>  (E=k7_finseq_1(k20_finseq_1(k7_polynom5(A, B)), k3_pre_poly(u1_struct_0(A), k4_algstr_0(A, k12_algstr_0(A, C, D)))) =>  (v1_funct_1(k3_relat_1(E, k2_funct_1(k20_finseq_1(k7_polynom5(A, k12_polynom3(A, k5_polynom5(A, C, D), B)))))) &  (v1_funct_2(k3_relat_1(E, k2_funct_1(k20_finseq_1(k7_polynom5(A, k12_polynom3(A, k5_polynom5(A, C, D), B))))), k4_finseq_1(E), k4_finseq_1(E)) &  (v3_funct_2(k3_relat_1(E, k2_funct_1(k20_finseq_1(k7_polynom5(A, k12_polynom3(A, k5_polynom5(A, C, D), B))))), k4_finseq_1(E), k4_finseq_1(E)) & m1_subset_1(k3_relat_1(E, k2_funct_1(k20_finseq_1(k7_polynom5(A, k12_polynom3(A, k5_polynom5(A, C, D), B))))), k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(E), k4_finseq_1(E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_polyvie1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v9_struct_0(D, A))  & m1_subset_1(D, u1_struct_0(A)))  =>  ( ~ (r2_tarski(k4_algstr_0(A, k12_algstr_0(A, C, D)), k7_polynom5(A, B)))  =>  (! [E] :  (m2_rlaffin3(E, u1_struct_0(A), k7_polynom5(A, k12_polynom3(A, k5_polynom5(A, C, D), B))) =>  (E=k7_finseq_1(k20_finseq_1(k7_polynom5(A, B)), k3_pre_poly(u1_struct_0(A), k4_algstr_0(A, k12_algstr_0(A, C, D)))) => k4_rlvect_1(A, k1_polyvie1(A, k7_uproots(A, k12_polynom3(A, k5_polynom5(A, C, D), B)), E))=k4_rlvect_1(A, k1_polyvie1(A, k7_uproots(A, k12_polynom3(A, k5_polynom5(A, C, D), B)), k20_finseq_1(k7_polynom5(A, k12_polynom3(A, k5_polynom5(A, C, D), B)))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_polyvie1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v9_struct_0(D, A))  & m1_subset_1(D, u1_struct_0(A)))  =>  (! [E] :  (m2_rlaffin3(E, u1_struct_0(A), k7_polynom5(A, k12_polynom3(A, k5_polynom5(A, C, D), B))) => k4_rlvect_1(A, k1_polyvie1(A, k7_uproots(A, k5_polynom5(A, C, D)), E))=k4_algstr_0(A, k12_algstr_0(A, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(d2_polyvie1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  => k2_polyvie1(A, B)=k4_rlvect_1(A, k1_polyvie1(A, k7_uproots(A, B), k20_finseq_1(k7_polynom5(A, B))))) ) ) ) ).
fof(t26_polyvie1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (k7_polynom5(A, B)=k1_xboole_0 => k2_polyvie1(A, B)=k4_struct_0(A)) ) ) ) ) ).
fof(t27_polyvie1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v9_struct_0(C, A))  & m1_subset_1(C, u1_struct_0(A)))  => k2_polyvie1(A, k5_polynom5(A, B, C))=k4_algstr_0(A, k12_algstr_0(A, B, C))) ) ) ) ) ) ).
fof(t28_polyvie1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v9_struct_0(D, A))  & m1_subset_1(D, u1_struct_0(A)))  => k2_polyvie1(A, k12_polynom3(A, k5_polynom5(A, C, D), B))=k3_rlvect_1(A, k4_algstr_0(A, k12_algstr_0(A, C, D)), k2_polyvie1(A, B))) ) ) ) ) ) ) ) ).
fof(t29_polyvie1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v9_struct_0(D, A))  & m1_subset_1(D, u1_struct_0(A)))  =>  (! [E] :  ( ( ~ (v9_struct_0(E, A))  & m1_subset_1(E, u1_struct_0(A)))  => k2_polyvie1(A, k12_polynom3(A, k5_polynom5(A, B, D), k5_polynom5(A, C, E)))=k3_rlvect_1(A, k4_algstr_0(A, k12_algstr_0(A, B, D)), k4_algstr_0(A, k12_algstr_0(A, C, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t30_polyvie1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_polynom5(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) &  (v1_uproots(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (r1_xxreal_0(2, k1_algseq_1(A, B)) => k2_polyvie1(A, k12_polynom3(A, B, C))=k3_rlvect_1(A, k2_polyvie1(A, B), k2_polyvie1(A, C))) ) ) ) ) ) ) ).
fof(t31_polyvie1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_polynom5(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  ( (v2_funct_1(C) &  (k3_finseq_1(C)=k7_nat_d(k1_algseq_1(A, B), 1) & k7_polynom5(A, B)=k2_relset_1(u1_struct_0(A), C)) )  => k4_rlvect_1(A, C)=k2_polyvie1(A, B)) ) ) ) ) ) ) ).
fof(t32_polyvie1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_polynom5(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (r1_xxreal_0(2, k1_algseq_1(A, B)) => k2_polyvie1(A, B)=k4_algstr_0(A, k12_algstr_0(A, k8_nat_1(u1_struct_0(A), B, k7_nat_d(k1_algseq_1(A, B), 2)), k8_nat_1(u1_struct_0(A), B, k7_nat_d(k1_algseq_1(A, B), 1))))) ) ) ) ) ).
fof(dt_k1_polyvie1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  &  (v1_relat_1(C) &  (v5_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) ) )  => m2_finseq_1(k1_polyvie1(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k2_polyvie1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  => m1_subset_1(k2_polyvie1(A, B), u1_struct_0(A))) ) ).
fof(rc1_poset_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  & v6_orders_2(B, A)) ) ) ) ) ).
fof(rc2_poset_1, axiom,  (? [A] :  (l1_orders_2(A) &  ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v2_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & v1_poset_1(A)) ) ) ) ) ) ) ) ).
fof(cc1_poset_1, axiom,  (! [A] :  (l1_orders_2(A) =>  (v1_poset_1(A) => v1_yellow_0(A)) ) ) ).
fof(rc3_poset_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v1_orders_2(B) &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_poset_1(B) & l1_orders_2(B)) ) ) ) ) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v2_poset_1(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(cc2_poset_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v1_orders_2(B) &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_poset_1(B) & l1_orders_2(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) =>  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v2_poset_1(C, A, B)) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_orders_3(C, A, B)) ) ) ) ) ) ) ).
fof(fc1_poset_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v1_orders_2(B) &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_poset_1(B) & l1_orders_2(B)) ) ) ) ) ) )  => v1_relat_2(k5_poset_1(A, B))) ) ).
fof(fc2_poset_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v1_orders_2(B) &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_poset_1(B) & l1_orders_2(B)) ) ) ) ) ) )  => v8_relat_2(k5_poset_1(A, B))) ) ).
fof(fc3_poset_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v1_orders_2(B) &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_poset_1(B) & l1_orders_2(B)) ) ) ) ) ) )  => v4_relat_2(k5_poset_1(A, B))) ) ).
fof(fc4_poset_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v1_orders_2(B) &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_poset_1(B) & l1_orders_2(B)) ) ) ) ) )  &  ( ~ (v1_xboole_0(C))  &  (v6_orders_2(C, k6_poset_1(A, B)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k6_poset_1(A, B))))) ) ) )  =>  (v1_funct_1(k8_poset_1(A, B, C)) &  (v1_funct_2(k8_poset_1(A, B, C), u1_struct_0(A), u1_struct_0(B)) & v2_poset_1(k8_poset_1(A, B, C), A, B)) ) ) ) ).
fof(fc5_poset_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v1_orders_2(B) &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_poset_1(B) & l1_orders_2(B)) ) ) ) ) ) )  =>  (v1_funct_1(k9_poset_1(A, B)) &  (v1_funct_2(k9_poset_1(A, B), u1_struct_0(A), u1_struct_0(B)) & v2_poset_1(k9_poset_1(A, B), A, B)) ) ) ) ).
fof(fc6_poset_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v1_orders_2(B) &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_poset_1(B) & l1_orders_2(B)) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k6_poset_1(A, B)))  &  (v1_orders_2(k6_poset_1(A, B)) &  (v3_orders_2(k6_poset_1(A, B)) &  (v4_orders_2(k6_poset_1(A, B)) &  (v5_orders_2(k6_poset_1(A, B)) & v1_poset_1(k6_poset_1(A, B))) ) ) ) ) ) ) ).
fof(fc7_poset_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) ) )  =>  (v1_funct_1(k10_poset_1(A)) &  (v1_funct_2(k10_poset_1(A), u1_struct_0(k6_poset_1(A, A)), u1_struct_0(A)) & v2_poset_1(k10_poset_1(A), k6_poset_1(A, A), A)) ) ) ) ).
fof(d1_poset_1, axiom,  (! [A] :  (l1_orders_2(A) =>  (v1_poset_1(A) <=>  (v1_yellow_0(A) &  (! [B] :  ( (v6_orders_2(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ( ~ (v1_xboole_0(B))  => r1_yellow_0(A, B)) ) ) ) ) ) ) ).
fof(t1_poset_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) & l1_orders_2(B)) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v6_orders_2(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v5_orders_3(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  ( ~ (v1_xboole_0(k7_relset_1(u1_struct_0(A), u1_struct_0(B), D, C)))  &  (v6_orders_2(k7_relset_1(u1_struct_0(A), u1_struct_0(B), D, C), B) & m1_subset_1(k7_relset_1(u1_struct_0(A), u1_struct_0(B), D, C), k1_zfmisc_1(u1_struct_0(B)))) ) ) ) ) ) ) ) ) ) ).
fof(t2_poset_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_orders_2(B) &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_poset_1(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v6_orders_2(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v5_orders_3(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  => r3_orders_2(B, k1_yellow_0(B, k7_relset_1(u1_struct_0(A), u1_struct_0(B), D, C)), k3_funct_2(u1_struct_0(A), u1_struct_0(B), D, k1_yellow_0(A, C)))) ) ) ) ) ) ) ) ).
fof(t3_poset_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v5_orders_3(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  ( ~ (v1_xboole_0(k1_poset_1(A, B, k3_yellow_0(A))))  &  (v6_orders_2(k1_poset_1(A, B, k3_yellow_0(A)), A) & m1_subset_1(k1_poset_1(A, B, k3_yellow_0(A)), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ).
fof(d3_poset_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v5_orders_3(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  => k2_poset_1(A, B)=k1_poset_1(A, B, k3_yellow_0(A))) ) ) ) ).
fof(t4_poset_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v5_orders_3(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  => k1_yellow_0(A, k2_poset_1(A, B))=k1_yellow_0(A, k7_relset_1(u1_struct_0(A), u1_struct_0(A), B, k2_poset_1(A, B)))) ) ) ) ).
fof(t5_poset_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v5_orders_3(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(A)) &  (v5_orders_3(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (r1_yellow_2(u1_struct_0(A), A, B, C) => r3_orders_2(A, k1_yellow_0(A, k2_poset_1(A, B)), k1_yellow_0(A, k2_poset_1(A, C)))) ) ) ) ) ) ) ).
fof(d4_poset_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) & l1_orders_2(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v2_poset_1(C, A, B) <=>  (v5_orders_3(C, A, B) &  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v6_orders_2(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) )  => r4_waybel_0(A, B, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t6_poset_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_orders_2(B) &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_poset_1(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v2_poset_1(C, A, B) <=>  (v5_orders_3(C, A, B) &  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v6_orders_2(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) )  => k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k1_yellow_0(A, D))=k1_yellow_0(B, k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t7_poset_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_orders_2(B) &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_poset_1(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => v2_poset_1(k6_struct_0(A, B, C), A, B)) ) ) ) ) ) ).
fof(t8_poset_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_orders_2(B) &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_poset_1(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v5_orders_3(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  ( (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v6_orders_2(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) )  => r3_orders_2(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k1_yellow_0(A, D)), k1_yellow_0(B, k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, D)))) )  => v2_poset_1(C, A, B)) ) ) ) ) ) ) ).
fof(d5_poset_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v5_orders_3(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (v2_poset_1(B, A, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (C=k3_poset_1(A, B) <=>  (r2_abian(u1_struct_0(A), C, B) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_abian(u1_struct_0(A), D, B) => r3_orders_2(A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_poset_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v2_poset_1(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  => k3_poset_1(A, B)=k1_yellow_0(A, k2_poset_1(A, B))) ) ) ) ).
fof(t10_poset_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v2_poset_1(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(A)) &  (v2_poset_1(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (r1_yellow_2(u1_struct_0(A), A, B, C) => r3_orders_2(A, k3_poset_1(A, B), k3_poset_1(A, C))) ) ) ) ) ) ) ).
fof(d7_poset_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_orders_2(B) &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_poset_1(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_poset_1(A, B), k4_poset_1(A, B)))) =>  (C=k5_poset_1(A, B) <=>  (! [D] :  (! [E] :  (r2_hidden(k4_tarski(D, E), C) <=>  (r2_tarski(D, k4_poset_1(A, B)) &  (r2_tarski(E, k4_poset_1(A, B)) &  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  &  (? [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  &  (D=F &  (E=G & r1_yellow_2(u1_struct_0(A), B, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_poset_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_orders_2(B) &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_poset_1(B) & l1_orders_2(B)) ) ) ) ) )  => k6_poset_1(A, B)=g1_orders_2(k4_poset_1(A, B), k5_poset_1(A, B))) ) ) ) ).
fof(d10_poset_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_orders_2(B) &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_poset_1(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v6_orders_2(C, k6_poset_1(A, B)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k6_poset_1(A, B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (D=k8_poset_1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  &  (v6_orders_2(F, B) & m1_subset_1(F, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (F=k7_poset_1(A, B, C, E) => k3_funct_2(u1_struct_0(A), u1_struct_0(B), D, E)=k1_yellow_0(B, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_poset_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_orders_2(B) &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_poset_1(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v6_orders_2(C, k6_poset_1(A, B)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k6_poset_1(A, B))))) )  =>  (r1_yellow_0(k6_poset_1(A, B), C) & k8_poset_1(A, B, C)=k1_yellow_0(k6_poset_1(A, B), C)) ) ) ) ) ) ) ).
fof(d11_poset_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_orders_2(B) &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_poset_1(B) & l1_orders_2(B)) ) ) ) ) )  => k9_poset_1(A, B)=k6_struct_0(A, B, k3_yellow_0(B))) ) ) ) ).
fof(t12_poset_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_orders_2(B) &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_poset_1(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k6_poset_1(A, B))) =>  (C=k9_poset_1(A, B) => r1_lattice3(k6_poset_1(A, B), u1_struct_0(k6_poset_1(A, B)), C)) ) ) ) ) ) ) ).
fof(d12_poset_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k6_poset_1(A, A)), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_poset_1(A, A)), u1_struct_0(A))))) )  =>  (B=k10_poset_1(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(k6_poset_1(A, A))) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(A)) &  (v2_poset_1(D, A, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (C=D => k3_funct_2(u1_struct_0(k6_poset_1(A, A)), u1_struct_0(A), B, C)=k3_poset_1(A, D)) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_poset_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v5_orders_3(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  & m1_subset_1(C, u1_struct_0(A))) )  =>  ~ (v1_xboole_0(k1_poset_1(A, B, C))) ) ) ).
fof(dt_k2_poset_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v5_orders_3(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) )  =>  ( ~ (v1_xboole_0(k2_poset_1(A, B)))  &  (v6_orders_2(k2_poset_1(A, B), A) & m1_subset_1(k2_poset_1(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ).
fof(dt_k3_poset_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v5_orders_3(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) )  => m1_subset_1(k3_poset_1(A, B), u1_struct_0(A))) ) ).
fof(dt_k4_poset_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v1_orders_2(B) &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_poset_1(B) & l1_orders_2(B)) ) ) ) ) ) )  =>  ~ (v1_xboole_0(k4_poset_1(A, B))) ) ) ).
fof(dt_k5_poset_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v1_orders_2(B) &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_poset_1(B) & l1_orders_2(B)) ) ) ) ) ) )  => m1_subset_1(k5_poset_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_poset_1(A, B), k4_poset_1(A, B))))) ) ).
fof(dt_k6_poset_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v1_orders_2(B) &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_poset_1(B) & l1_orders_2(B)) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k6_poset_1(A, B)))  &  (v1_orders_2(k6_poset_1(A, B)) &  (v3_orders_2(k6_poset_1(A, B)) &  (v4_orders_2(k6_poset_1(A, B)) &  (v5_orders_2(k6_poset_1(A, B)) & l1_orders_2(k6_poset_1(A, B))) ) ) ) ) ) ) ).
fof(dt_k7_poset_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v1_orders_2(B) &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_poset_1(B) & l1_orders_2(B)) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(C))  &  (v6_orders_2(C, k6_poset_1(A, B)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k6_poset_1(A, B))))) )  & m1_subset_1(D, u1_struct_0(A))) ) )  =>  ( ~ (v1_xboole_0(k7_poset_1(A, B, C, D)))  &  (v6_orders_2(k7_poset_1(A, B, C, D), B) & m1_subset_1(k7_poset_1(A, B, C, D), k1_zfmisc_1(u1_struct_0(B)))) ) ) ) ).
fof(dt_k8_poset_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v1_orders_2(B) &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_poset_1(B) & l1_orders_2(B)) ) ) ) ) )  &  ( ~ (v1_xboole_0(C))  &  (v6_orders_2(C, k6_poset_1(A, B)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k6_poset_1(A, B))))) ) ) )  =>  (v1_funct_1(k8_poset_1(A, B, C)) &  (v1_funct_2(k8_poset_1(A, B, C), u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(k8_poset_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ).
fof(dt_k9_poset_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v1_orders_2(B) &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_poset_1(B) & l1_orders_2(B)) ) ) ) ) ) )  =>  (v1_funct_1(k9_poset_1(A, B)) &  (v1_funct_2(k9_poset_1(A, B), u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(k9_poset_1(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ).
fof(dt_k10_poset_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) ) )  =>  (v1_funct_1(k10_poset_1(A)) &  (v1_funct_2(k10_poset_1(A), u1_struct_0(k6_poset_1(A, A)), u1_struct_0(A)) & m1_subset_1(k10_poset_1(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_poset_1(A, A)), u1_struct_0(A))))) ) ) ) ).
fof(d2_poset_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v5_orders_3(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_poset_1(A, B, C)=a_3_0_poset_1(A, B, C)) ) ) ) ) ) ).
fof(d6_poset_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_orders_2(B) &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_poset_1(B) & l1_orders_2(B)) ) ) ) ) )  => k4_poset_1(A, B)=a_2_0_poset_1(A, B)) ) ) ) ).
fof(d9_poset_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_orders_2(B) &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_poset_1(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v6_orders_2(C, k6_poset_1(A, B)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k6_poset_1(A, B))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k7_poset_1(A, B, C, D)=a_4_0_poset_1(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_poset_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) & l1_orders_2(B)) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(B)) &  (v5_orders_3(C, B, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))))) ) )  & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_0_poset_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E &  (? [F] :  (v7_ordinal1(F) & E=k3_funct_2(u1_struct_0(B), u1_struct_0(B), k1_abian(u1_struct_0(B), C, F), D)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_poset_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v1_orders_2(B) &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_poset_1(B) & l1_orders_2(B)) ) ) ) ) )  &  ( ~ (v2_struct_0(C))  &  (v1_orders_2(C) &  (v3_orders_2(C) &  (v4_orders_2(C) &  (v5_orders_2(C) &  (v1_poset_1(C) & l1_orders_2(C)) ) ) ) ) ) )  =>  (r2_hidden(A, a_2_0_poset_1(B, C)) <=>  (? [D] :  (m2_funct_2(D, u1_struct_0(B), u1_struct_0(C), k9_funct_2(u1_struct_0(B), u1_struct_0(C))) &  (A=D &  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) &  (v2_poset_1(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) )  & r2_funct_2(u1_struct_0(B), u1_struct_0(C), E, D)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_poset_1, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(B))  &  (v1_orders_2(B) &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_poset_1(B) & l1_orders_2(B)) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v1_orders_2(C) &  (v3_orders_2(C) &  (v4_orders_2(C) &  (v5_orders_2(C) &  (v1_poset_1(C) & l1_orders_2(C)) ) ) ) ) )  &  ( ( ~ (v1_xboole_0(D))  &  (v6_orders_2(D, k6_poset_1(B, C)) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k6_poset_1(B, C))))) )  & m1_subset_1(E, u1_struct_0(B))) ) )  =>  (r2_hidden(A, a_4_0_poset_1(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(C)) &  (A=F &  (? [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(B), u1_struct_0(C)) &  (v2_poset_1(G, B, C) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) )  &  (r2_tarski(G, D) & F=k3_funct_2(u1_struct_0(B), u1_struct_0(C), G, E)) ) ) ) ) ) ) ) ) ).
fof(fc1_poset_2, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) & l1_orders_2(B)) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v3_orders_2(C) &  (v4_orders_2(C) &  (v5_orders_2(C) & l1_orders_2(C)) ) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v5_orders_3(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  &  (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(C)) &  (v5_orders_3(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C))))) ) ) ) ) ) )  =>  (v1_funct_1(k13_funct_3(D, E)) &  (v1_funct_2(k13_funct_3(D, E), u1_struct_0(A), u1_struct_0(k3_yellow_3(B, C))) & v5_orders_3(k13_funct_3(D, E), A, k3_yellow_3(B, C))) ) ) ) ).
fof(fc2_poset_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_poset_1(B) & l1_orders_2(B)) ) ) ) ) )  =>  (v1_orders_2(k3_yellow_3(A, B)) & v1_poset_1(k3_yellow_3(A, B))) ) ) ).
fof(fc3_poset_2, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v1_orders_2(B) &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_poset_1(B) & l1_orders_2(B)) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v1_orders_2(C) &  (v3_orders_2(C) &  (v4_orders_2(C) &  (v5_orders_2(C) &  (v1_poset_1(C) & l1_orders_2(C)) ) ) ) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v2_poset_1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  &  (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(C)) &  (v2_poset_1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C))))) ) ) ) ) ) )  =>  (v1_funct_1(k13_funct_3(D, E)) &  (v1_funct_2(k13_funct_3(D, E), u1_struct_0(A), u1_struct_0(k3_yellow_3(B, C))) & v2_poset_1(k13_funct_3(D, E), A, k3_yellow_3(B, C))) ) ) ) ).
fof(cc1_poset_2, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  & v1_orders_3(A))  =>  ( ~ (v2_struct_0(A))  & v3_orders_2(A)) ) ) ) ).
fof(cc2_poset_2, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v7_struct_0(A) & v1_orders_3(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v1_orders_3(A) & v1_poset_2(A)) ) ) ) ) ).
fof(rc1_poset_2, axiom,  (? [A] :  (l1_orders_2(A) &  ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v2_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & v1_poset_2(A)) ) ) ) ) ) ) ) ).
fof(cc3_poset_2, axiom,  (! [A] :  (l1_orders_2(A) =>  (v1_poset_2(A) =>  (v3_orders_2(A) &  (v4_orders_2(A) & v5_orders_2(A)) ) ) ) ) ).
fof(cc4_poset_2, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & v1_poset_2(A)) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & v1_yellow_0(A)) ) ) ) ) ) ) ).
fof(rc2_poset_2, axiom,  (? [A] :  (l1_orders_2(A) &  ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v2_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & v1_poset_2(A)) ) ) ) ) ) ) ) ) ).
fof(cc5_poset_2, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & v1_poset_2(A)) ) ) )  =>  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & v1_poset_1(A)) ) ) ) ) ) ).
fof(rd1_poset_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k3_yellow_0(k4_poset_2(A))=A) ) ).
fof(fc4_poset_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) )  =>  (v1_funct_1(k6_poset_2(A, B, C)) &  (v1_funct_2(k6_poset_2(A, B, C), u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(B))) & v2_poset_1(k6_poset_2(A, B, C), k4_poset_2(A), k4_poset_2(B))) ) ) ) ).
fof(cc6_poset_2, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v6_orders_2(B, A) =>  (v1_finset_1(B) & v6_orders_2(B, A)) ) ) ) ) ) ).
fof(rc3_poset_2, axiom,  (? [A] :  (l1_orders_2(A) &  ( ~ (v2_struct_0(A))  &  (v2_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v1_yellow_0(A) &  ( ~ (v1_yellow_3(A))  & v1_poset_2(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_poset_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_yellow_0(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (r1_lattice3(A, u1_struct_0(A), B) => B=k3_yellow_0(A)) ) ) ) ) ).
fof(t2_poset_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v6_orders_2(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) => r3_orders_2(A, C, k1_yellow_0(A, B))) ) ) ) ) ) ) ).
fof(t3_poset_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v6_orders_2(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, B) => r3_orders_2(A, D, C)) ) )  => r3_orders_2(A, k1_yellow_0(A, B), C)) ) ) ) ) ) ) ).
fof(t4_poset_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_yellow_3(A, B))) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) & C=k7_yellow_3(A, B, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(t5_poset_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_poset_1(B) & l1_orders_2(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v6_orders_2(C, k3_yellow_3(A, B)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_yellow_3(A, B))))) )  => k1_yellow_0(k3_yellow_3(A, B), C)=k7_yellow_3(A, B, k1_yellow_0(A, k1_poset_2(A, B, C)), k1_yellow_0(B, k2_poset_2(A, B, C)))) ) ) ) ) ) ).
fof(d1_poset_2, axiom,  (! [A] :  (l1_orders_2(A) =>  (v1_poset_2(A) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_orders_2(A, C, D) <=>  (C=B | C=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_poset_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_2(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v6_orders_2(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  ~ ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (B=k6_domain_1(u1_struct_0(A), C))  &  ~ (B=k7_domain_1(u1_struct_0(A), k3_yellow_0(A), C)) ) ) ) ) ) ) ) ) ).
fof(t7_poset_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_2(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_poset_2(B) & l1_orders_2(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v6_orders_2(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  ~ ( (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( ~ ( (C=k6_domain_1(u1_struct_0(A), E) & k7_relset_1(u1_struct_0(A), u1_struct_0(B), D, C)=k6_domain_1(u1_struct_0(B), k3_funct_2(u1_struct_0(A), u1_struct_0(B), D, E))) )  &  ~ ( (C=k7_domain_1(u1_struct_0(A), k3_yellow_0(A), E) & k7_relset_1(u1_struct_0(A), u1_struct_0(B), D, C)=k7_domain_1(u1_struct_0(B), k3_funct_2(u1_struct_0(A), u1_struct_0(B), D, k3_yellow_0(A)), k3_funct_2(u1_struct_0(A), u1_struct_0(B), D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_poset_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_2(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_poset_2(B) & l1_orders_2(B)) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k3_yellow_0(A))=k3_yellow_0(B) => v5_orders_3(C, A, B)) ) ) ) ) ) ) ).
fof(t9_poset_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_2(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v6_orders_2(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (C=k7_domain_1(u1_struct_0(A), k3_yellow_0(A), B) => k1_yellow_0(A, C)=B) ) ) ) ) ) ) ).
fof(t10_poset_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_poset_1(A) &  (v1_poset_2(A) & l1_orders_2(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_orders_2(B) &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_poset_1(B) &  (v1_poset_2(B) & l1_orders_2(B)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k3_yellow_0(A))=k3_yellow_0(B) => v2_poset_1(C, A, B)) ) ) ) ) ) ) ).
fof(d2_poset_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k3_poset_2(A)=k2_xboole_0(k2_xboole_0(k1_tarski(k4_tarski(A, A)), k2_zfmisc_1(k1_tarski(A), A)), k6_partfun1(A))) ) ).
fof(t11_poset_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_ordinal1(A)) =>  (! [C] :  (m1_subset_1(C, k1_ordinal1(A)) =>  (r2_tarski(k1_domain_1(k1_ordinal1(A), k1_ordinal1(A), B, C), k3_poset_2(A)) <=>  (B=A | B=C) ) ) ) ) ) ) ) ).
fof(d3_poset_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k4_poset_2(A)=g1_orders_2(k1_ordinal1(A), k3_poset_2(A))) ) ).
fof(t12_poset_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_poset_2(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_poset_2(A))) =>  (r3_orders_2(k4_poset_2(A), B, C) <=>  (B=A | B=C) ) ) ) ) ) ) ) ).
fof(t13_poset_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => m1_subset_1(A, u1_struct_0(k4_poset_2(A)))) ) ).
fof(d4_poset_2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  ( (r2_hidden(A, B) => k5_poset_2(A, B, C, D)=k1_funct_1(D, A))  &  ( ~ (r2_hidden(A, B))  => k5_poset_2(A, B, C, D)=C) ) ) ) ) ) ) ) ) ).
fof(d5_poset_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(B)))))) )  =>  (D=k6_poset_2(A, B, C) <=>  (k1_funct_1(D, A)=B &  (! [E] :  (m1_subset_1(E, u1_struct_0(k4_poset_2(A))) =>  ( ~ (E=A)  => k3_funct_2(u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(B)), D, E)=k1_funct_1(C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_poset_2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  (r2_hidden(A, B) => r2_tarski(k1_funct_1(k6_poset_2(B, C, D), A), C)) ) ) ) ) ) ) ) ).
fof(d6_poset_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  => k7_poset_2(A, B)=k6_poset_1(k4_poset_2(A), k4_poset_2(B))) ) ) ) ).
fof(t15_poset_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_lattice7(C, A, B, B) => k1_card_1(C)=1) ) ) ) ) ) ).
fof(t16_poset_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v1_yellow_0(A) &  (v1_poset_2(A) & l1_orders_2(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_lattice7(C, A, k3_yellow_0(A), B) => r1_xxreal_0(k4_card_1(C), 2)) ) ) ) ) ) ).
fof(t17_poset_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v1_yellow_0(A) & l1_orders_2(A)) ) ) ) ) ) ) )  =>  (v1_poset_2(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_xxreal_0(k1_lattice7(A, B), 2)) ) ) ) ) ).
fof(d7_poset_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (r1_poset_2(A, B, C) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k4_ordinal1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  &  (! [E] :  (m1_subset_1(E, A) =>  ( (r1_xxreal_0(k3_funct_2(A, k4_ordinal1, D, E), k5_numbers) => r2_tarski(E, B))  &  ~ ( ( ~ (r2_tarski(E, B))  & r1_xxreal_0(k3_funct_2(A, k4_ordinal1, D, E), k3_funct_2(A, k4_ordinal1, D, k3_funct_2(A, A, C, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_poset_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, B), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), B)))) )  =>  (! [F] :  (! [G] :  ( (r2_hidden(F, C) => k8_poset_2(A, B, C, D, E, F, G)=k1_funct_1(D, F))  &  ( ( (r2_hidden(F, A) & r2_hidden(G, B))  =>  (r2_hidden(F, C) | k8_poset_2(A, B, C, D, E, F, G)=k1_funct_1(E, k4_tarski(F, G))) )  &  ~ ( ( ~ (r2_hidden(F, C))  &  ( ~ ( ( ~ (r2_hidden(F, C))  &  (r2_hidden(F, A) & r2_hidden(G, B)) ) )  &  ~ (k8_poset_2(A, B, C, D, E, F, G)=B) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_poset_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, B), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(B))) &  (v2_poset_1(G, k4_poset_2(A), k4_poset_2(B)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(B)))))) ) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(B))) &  (v2_poset_1(H, k4_poset_2(A), k4_poset_2(B)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(B)))))) ) )  =>  (H=k9_poset_2(A, B, C, D, E, F, G) <=>  (! [I] :  (m1_subset_1(I, u1_struct_0(k4_poset_2(A))) =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(B))) &  (v2_poset_1(J, k4_poset_2(A), k4_poset_2(B)) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(B)))))) ) )  =>  (G=J => k3_funct_2(u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(B)), H, I)=k8_poset_2(A, B, C, D, E, I, k3_funct_2(u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(B)), J, k3_funct_2(u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(A)), k6_poset_2(A, A, F), I)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_poset_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, B), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (? [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(k7_poset_2(A, B)), u1_struct_0(k7_poset_2(A, B))) &  (v2_poset_1(G, k7_poset_2(A, B), k7_poset_2(A, B)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_poset_2(A, B)), u1_struct_0(k7_poset_2(A, B)))))) ) )  &  (! [H] :  (m1_subset_1(H, k4_poset_1(k4_poset_2(A), k4_poset_2(B))) => k1_funct_1(G, H)=k9_poset_2(A, B, C, D, E, F, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_poset_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, B), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (? [G] :  (r2_tarski(G, k4_poset_1(k4_poset_2(A), k4_poset_2(B))) & G=k9_poset_2(A, B, C, D, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_poset_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, B), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  ~ ( (r1_poset_2(A, C, F) &  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(B))) &  (v2_poset_1(G, k4_poset_2(A), k4_poset_2(B)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(B)))))) ) )  =>  ~ ( (! [H] :  (m1_subset_1(H, A) =>  (r2_tarski(k1_funct_1(G, H), B) & k1_funct_1(G, H)=k8_poset_2(A, B, C, D, E, H, k1_funct_1(G, k3_funct_2(A, A, F, H)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_poset_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, B), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  ~ ( (r1_poset_2(A, C, F) &  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, B) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ~ ( (! [H] :  (m1_subset_1(H, A) =>  ( (r2_tarski(H, C) => k3_funct_2(A, B, G, H)=k3_funct_2(A, B, D, H))  &  ( ~ (r2_tarski(H, C))  => k3_funct_2(A, B, G, H)=k3_funct_2(k2_zfmisc_1(A, B), B, E, k1_domain_1(A, B, H, k3_funct_2(A, B, G, k3_funct_2(A, A, F, H))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_poset_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, B), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, B) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, A, B) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ( (r1_poset_2(A, C, F) &  ( (! [I] :  (m1_subset_1(I, A) =>  ( (r2_tarski(I, C) => k3_funct_2(A, B, G, I)=k3_funct_2(A, B, D, I))  &  ( ~ (r2_tarski(I, C))  => k3_funct_2(A, B, G, I)=k3_funct_2(k2_zfmisc_1(A, B), B, E, k1_domain_1(A, B, I, k3_funct_2(A, B, G, k3_funct_2(A, A, F, I))))) ) ) )  &  (! [I] :  (m1_subset_1(I, A) =>  ( (r2_tarski(I, C) => k3_funct_2(A, B, H, I)=k3_funct_2(A, B, D, I))  &  ( ~ (r2_tarski(I, C))  => k3_funct_2(A, B, H, I)=k3_funct_2(k2_zfmisc_1(A, B), B, E, k1_domain_1(A, B, I, k3_funct_2(A, B, H, k3_funct_2(A, A, F, I))))) ) ) ) ) )  => r2_funct_2(A, B, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_poset_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (r2_poset_2(A, B, C, D) <=>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, k4_ordinal1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  &  (! [F] :  (m1_subset_1(F, A) =>  ( (r1_xxreal_0(k3_funct_2(A, k4_ordinal1, E, F), k5_numbers) => r2_tarski(F, B))  &  ( ~ (r2_tarski(F, B))  =>  ( ~ (r1_xxreal_0(k3_funct_2(A, k4_ordinal1, E, F), k3_funct_2(A, k4_ordinal1, E, k3_funct_2(A, A, C, F))))  &  ~ (r1_xxreal_0(k3_funct_2(A, k4_ordinal1, E, F), k3_funct_2(A, k4_ordinal1, E, k3_funct_2(A, A, D, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_poset_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k3_zfmisc_1(A, B, B), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(A, B, B), B)))) )  =>  (! [F] :  (! [G] :  (! [H] :  ( (r2_hidden(F, C) => k10_poset_2(A, B, C, D, E, F, G, H)=k1_funct_1(D, F))  &  ( ( (r2_hidden(F, A) &  (r2_hidden(G, B) & r2_hidden(H, B)) )  =>  (r2_hidden(F, C) | k10_poset_2(A, B, C, D, E, F, G, H)=k1_funct_1(E, k3_xtuple_0(F, G, H))) )  &  ~ ( ( ~ (r2_hidden(F, C))  &  ( ~ ( ( ~ (r2_hidden(F, C))  &  (r2_hidden(F, A) &  (r2_hidden(G, B) & r2_hidden(H, B)) ) ) )  &  ~ (k10_poset_2(A, B, C, D, E, F, G, H)=B) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_poset_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k3_zfmisc_1(A, B, B), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(A, B, B), B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, A) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (! [H] :  (! [I] :  ( ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(B))) &  (v2_poset_1(H, k4_poset_2(A), k4_poset_2(B)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(B)))))) ) )  &  (v1_funct_1(I) &  (v1_funct_2(I, u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(B))) &  (v2_poset_1(I, k4_poset_2(A), k4_poset_2(B)) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(B)))))) ) ) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(B))) &  (v2_poset_1(J, k4_poset_2(A), k4_poset_2(B)) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(B)))))) ) )  =>  (J=k11_poset_2(A, B, C, D, E, F, G, H, I) <=>  (! [K] :  (m1_subset_1(K, u1_struct_0(k4_poset_2(A))) =>  (! [L] :  ( (v1_funct_1(L) &  (v1_funct_2(L, u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(B))) &  (v2_poset_1(L, k4_poset_2(A), k4_poset_2(B)) & m1_subset_1(L, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(B)))))) ) )  =>  (! [M] :  ( (v1_funct_1(M) &  (v1_funct_2(M, u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(B))) &  (v2_poset_1(M, k4_poset_2(A), k4_poset_2(B)) & m1_subset_1(M, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(B)))))) ) )  =>  ( (H=L & I=M)  => k3_funct_2(u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(B)), J, K)=k10_poset_2(A, B, C, D, E, K, k3_funct_2(u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(B)), L, k3_funct_2(u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(A)), k6_poset_2(A, A, F), K)), k3_funct_2(u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(B)), M, k3_funct_2(u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(A)), k6_poset_2(A, A, G), K)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_poset_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k3_zfmisc_1(A, B, B), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(A, B, B), B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, A) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (? [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(k3_yellow_3(k7_poset_2(A, B), k7_poset_2(A, B))), u1_struct_0(k7_poset_2(A, B))) &  (v2_poset_1(H, k3_yellow_3(k7_poset_2(A, B), k7_poset_2(A, B)), k7_poset_2(A, B)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_yellow_3(k7_poset_2(A, B), k7_poset_2(A, B))), u1_struct_0(k7_poset_2(A, B)))))) ) )  &  (! [I] :  (r2_tarski(I, k2_zfmisc_1(k4_poset_1(k4_poset_2(A), k4_poset_2(B)), k4_poset_1(k4_poset_2(A), k4_poset_2(B)))) => k1_funct_1(H, I)=k11_poset_2(A, B, C, D, E, F, G, k1_xtuple_0(I), k2_xtuple_0(I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_poset_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k3_zfmisc_1(A, B, B), B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(A, B, B), B)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k3_zfmisc_1(A, B, B), B) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(A, B, B), B)))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, A, A) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, A, A) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (? [J] :  (? [K] :  (r2_tarski(J, k4_poset_1(k4_poset_2(A), k4_poset_2(B))) &  (r2_tarski(K, k4_poset_1(k4_poset_2(A), k4_poset_2(B))) &  (J=k11_poset_2(A, B, C, D, F, H, I, J, K) & K=k11_poset_2(A, B, C, E, G, H, I, J, K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_poset_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k3_zfmisc_1(A, B, B), B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(A, B, B), B)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k3_zfmisc_1(A, B, B), B) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(A, B, B), B)))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, A, A) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, A, A) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  ~ ( (r2_poset_2(A, C, H, I) &  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(B))) &  (v2_poset_1(J, k4_poset_2(A), k4_poset_2(B)) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(B)))))) ) )  =>  (! [K] :  ( (v1_funct_1(K) &  (v1_funct_2(K, u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(B))) &  (v2_poset_1(K, k4_poset_2(A), k4_poset_2(B)) & m1_subset_1(K, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(B)))))) ) )  =>  ~ ( (! [L] :  (m1_subset_1(L, A) =>  (r2_tarski(k1_funct_1(J, L), B) &  (k1_funct_1(J, L)=k10_poset_2(A, B, C, D, F, L, k1_funct_1(J, k3_funct_2(A, A, H, L)), k1_funct_1(K, k3_funct_2(A, A, I, L))) &  (r2_tarski(k1_funct_1(K, L), B) & k1_funct_1(K, L)=k10_poset_2(A, B, C, E, G, L, k1_funct_1(J, k3_funct_2(A, A, H, L)), k1_funct_1(K, k3_funct_2(A, A, I, L)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_poset_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k3_zfmisc_1(A, B, B), B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(A, B, B), B)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k3_zfmisc_1(A, B, B), B) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(A, B, B), B)))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, A, A) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, A, A) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  ~ ( (r2_poset_2(A, C, H, I) &  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, A, B) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [K] :  ( (v1_funct_1(K) &  (v1_funct_2(K, A, B) & m1_subset_1(K, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ~ ( (! [L] :  (m1_subset_1(L, A) =>  ( (r2_tarski(L, C) =>  (k3_funct_2(A, B, J, L)=k3_funct_2(A, B, D, L) & k3_funct_2(A, B, K, L)=k3_funct_2(A, B, E, L)) )  &  ( ~ (r2_tarski(L, C))  =>  (k3_funct_2(A, B, J, L)=k1_funct_1(F, k3_xtuple_0(L, k3_funct_2(A, B, J, k3_funct_2(A, A, H, L)), k3_funct_2(A, B, K, k3_funct_2(A, A, I, L)))) & k3_funct_2(A, B, K, L)=k1_funct_1(G, k3_xtuple_0(L, k3_funct_2(A, B, J, k3_funct_2(A, A, H, L)), k3_funct_2(A, B, K, k3_funct_2(A, A, I, L))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_poset_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k3_zfmisc_1(A, B, B), B) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(A, B, B), B)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k3_zfmisc_1(A, B, B), B) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(A, B, B), B)))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, A, A) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, A, A) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (! [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, A, B) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [K] :  ( (v1_funct_1(K) &  (v1_funct_2(K, A, B) & m1_subset_1(K, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [L] :  ( (v1_funct_1(L) &  (v1_funct_2(L, A, B) & m1_subset_1(L, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [M] :  ( (v1_funct_1(M) &  (v1_funct_2(M, A, B) & m1_subset_1(M, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ( (r2_poset_2(A, C, H, I) &  ( (! [N] :  (m1_subset_1(N, A) =>  ( (r2_tarski(N, C) =>  (k3_funct_2(A, B, J, N)=k3_funct_2(A, B, D, N) & k3_funct_2(A, B, K, N)=k3_funct_2(A, B, E, N)) )  &  ( ~ (r2_tarski(N, C))  =>  (k3_funct_2(A, B, J, N)=k1_funct_1(F, k3_xtuple_0(N, k3_funct_2(A, B, J, k3_funct_2(A, A, H, N)), k3_funct_2(A, B, K, k3_funct_2(A, A, I, N)))) & k3_funct_2(A, B, K, N)=k1_funct_1(G, k3_xtuple_0(N, k3_funct_2(A, B, J, k3_funct_2(A, A, H, N)), k3_funct_2(A, B, K, k3_funct_2(A, A, I, N))))) ) ) ) )  &  (! [N] :  (m1_subset_1(N, A) =>  ( (r2_tarski(N, C) =>  (k3_funct_2(A, B, L, N)=k3_funct_2(A, B, D, N) & k3_funct_2(A, B, M, N)=k3_funct_2(A, B, E, N)) )  &  ( ~ (r2_tarski(N, C))  =>  (k3_funct_2(A, B, L, N)=k1_funct_1(F, k3_xtuple_0(N, k3_funct_2(A, B, L, k3_funct_2(A, A, H, N)), k3_funct_2(A, B, M, k3_funct_2(A, A, I, N)))) & k3_funct_2(A, B, M, N)=k1_funct_1(G, k3_xtuple_0(N, k3_funct_2(A, B, L, k3_funct_2(A, A, H, N)), k3_funct_2(A, B, M, k3_funct_2(A, A, I, N))))) ) ) ) ) ) )  =>  (r2_funct_2(A, B, J, L) & r2_funct_2(A, B, K, M)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_poset_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k3_zfmisc_1(A, B, B), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(A, B, B), B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, A) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  ~ ( (r2_poset_2(A, C, F, G) &  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, A, B) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ~ ( (! [I] :  (m1_subset_1(I, A) =>  ( (r2_tarski(I, C) => k3_funct_2(A, B, H, I)=k3_funct_2(A, B, D, I))  &  ( ~ (r2_tarski(I, C))  => k3_funct_2(A, B, H, I)=k1_funct_1(E, k3_xtuple_0(I, k3_funct_2(A, B, H, k3_funct_2(A, A, F, I)), k3_funct_2(A, B, H, k3_funct_2(A, A, G, I))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_poset_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k3_zfmisc_1(A, B, B), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(A, B, B), B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, A, A) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, A, B) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, A, B) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ( (r2_poset_2(A, C, F, G) &  ( (! [J] :  (m1_subset_1(J, A) =>  ( (r2_tarski(J, C) => k3_funct_2(A, B, H, J)=k3_funct_2(A, B, D, J))  &  ( ~ (r2_tarski(J, C))  => k3_funct_2(A, B, H, J)=k1_funct_1(E, k3_xtuple_0(J, k3_funct_2(A, B, H, k3_funct_2(A, A, F, J)), k3_funct_2(A, B, H, k3_funct_2(A, A, G, J))))) ) ) )  &  (! [J] :  (m1_subset_1(J, A) =>  ( (r2_tarski(J, C) => k3_funct_2(A, B, I, J)=k3_funct_2(A, B, D, J))  &  ( ~ (r2_tarski(J, C))  => k3_funct_2(A, B, I, J)=k1_funct_1(E, k3_xtuple_0(J, k3_funct_2(A, B, I, k3_funct_2(A, A, F, J)), k3_funct_2(A, B, I, k3_funct_2(A, A, G, J))))) ) ) ) ) )  => r2_funct_2(A, B, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_poset_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) & l1_orders_2(B)) ) ) )  &  ( ~ (v1_xboole_0(C))  &  (v6_orders_2(C, k3_yellow_3(A, B)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_yellow_3(A, B))))) ) ) )  =>  ( ~ (v1_xboole_0(k1_poset_2(A, B, C)))  &  (v6_orders_2(k1_poset_2(A, B, C), A) & m1_subset_1(k1_poset_2(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ).
fof(redefinition_k1_poset_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) & l1_orders_2(B)) ) ) )  &  ( ~ (v1_xboole_0(C))  &  (v6_orders_2(C, k3_yellow_3(A, B)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_yellow_3(A, B))))) ) ) )  => k1_poset_2(A, B, C)=k9_xtuple_0(C)) ) ).
fof(dt_k2_poset_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) & l1_orders_2(B)) ) ) )  &  ( ~ (v1_xboole_0(C))  &  (v6_orders_2(C, k3_yellow_3(A, B)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_yellow_3(A, B))))) ) ) )  =>  ( ~ (v1_xboole_0(k2_poset_2(A, B, C)))  &  (v6_orders_2(k2_poset_2(A, B, C), B) & m1_subset_1(k2_poset_2(A, B, C), k1_zfmisc_1(u1_struct_0(B)))) ) ) ) ).
fof(redefinition_k2_poset_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) & l1_orders_2(B)) ) ) )  &  ( ~ (v1_xboole_0(C))  &  (v6_orders_2(C, k3_yellow_3(A, B)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_yellow_3(A, B))))) ) ) )  => k2_poset_2(A, B, C)=k10_xtuple_0(C)) ) ).
fof(dt_k3_poset_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => m1_subset_1(k3_poset_2(A), k1_zfmisc_1(k2_zfmisc_1(k1_ordinal1(A), k1_ordinal1(A))))) ) ).
fof(dt_k4_poset_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k4_poset_2(A)))  &  (v1_orders_2(k4_poset_2(A)) &  (v3_orders_2(k4_poset_2(A)) &  (v4_orders_2(k4_poset_2(A)) &  (v5_orders_2(k4_poset_2(A)) &  (v1_poset_1(k4_poset_2(A)) &  (v1_poset_2(k4_poset_2(A)) & l1_orders_2(k4_poset_2(A))) ) ) ) ) ) ) ) ) ).
fof(dt_k6_poset_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) )  =>  (v1_funct_1(k6_poset_2(A, B, C)) &  (v1_funct_2(k6_poset_2(A, B, C), u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(B))) & m1_subset_1(k6_poset_2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(B)))))) ) ) ) ).
fof(dt_k7_poset_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  ( ~ (v2_struct_0(k7_poset_2(A, B)))  &  (v1_orders_2(k7_poset_2(A, B)) &  (v3_orders_2(k7_poset_2(A, B)) &  (v4_orders_2(k7_poset_2(A, B)) &  (v5_orders_2(k7_poset_2(A, B)) &  (v1_poset_1(k7_poset_2(A, B)) & l1_orders_2(k7_poset_2(A, B))) ) ) ) ) ) ) ) ).
fof(dt_k9_poset_2, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k1_zfmisc_1(A)) &  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, B), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), B)))) )  &  (v1_funct_1(F) &  (v1_funct_2(F, A, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ) )  =>  (v1_funct_1(k9_poset_2(A, B, C, D, E, F, G)) &  (v1_funct_2(k9_poset_2(A, B, C, D, E, F, G), u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(B))) &  (v2_poset_1(k9_poset_2(A, B, C, D, E, F, G), k4_poset_2(A), k4_poset_2(B)) & m1_subset_1(k9_poset_2(A, B, C, D, E, F, G), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(B)))))) ) ) ) ) ).
fof(dt_k11_poset_2, axiom,  (! [A, B, C, D, E, F, G, H, I] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k1_zfmisc_1(A)) &  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, k3_zfmisc_1(A, B, B), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(A, B, B), B)))) )  &  ( (v1_funct_1(F) &  (v1_funct_2(F, A, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  &  (v1_funct_1(G) &  (v1_funct_2(G, A, A) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ) ) )  =>  (v1_funct_1(k11_poset_2(A, B, C, D, E, F, G, H, I)) &  (v1_funct_2(k11_poset_2(A, B, C, D, E, F, G, H, I), u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(B))) &  (v2_poset_1(k11_poset_2(A, B, C, D, E, F, G, H, I), k4_poset_2(A), k4_poset_2(B)) & m1_subset_1(k11_poset_2(A, B, C, D, E, F, G, H, I), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_poset_2(A)), u1_struct_0(k4_poset_2(B)))))) ) ) ) ) ).
fof(ie1_power, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v7_ordinal1(B))  => k2_power(A, B)=k1_newton(A, B)) ) ).
fof(t1_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (v1_abian(B) => k1_newton(k4_xcmplx_0(A), B)=k1_newton(A, B)) ) ) ) ) ).
fof(t2_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (v1_abian(B))  => k1_newton(k4_xcmplx_0(A), B)=k4_xcmplx_0(k1_newton(A, B))) ) ) ) ) ).
fof(t3_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(k5_numbers, A) | v1_abian(B))  => r1_xxreal_0(k5_numbers, k1_newton(A, B))) ) ) ) ) ).
fof(d1_power, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ( (r1_xxreal_0(k5_numbers, B) & r1_xxreal_0(1, A))  => k1_power(A, B)=k2_prepower(A, B))  &  ~ ( ( ~ (r1_xxreal_0(k5_numbers, B))  &  ( ~ (v1_abian(A))  &  ~ (k1_power(A, B)=k4_xcmplx_0(k2_prepower(A, k4_xcmplx_0(B)))) ) ) ) ) ) ) ) ) ).
fof(t4_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ ( ( ~ ( (r1_xxreal_0(1, B) & r1_xxreal_0(k5_numbers, A)) )  & v1_abian(B)) )  =>  (k1_newton(k1_power(B, A), B)=A & k1_power(B, k1_newton(A, B))=A) ) ) ) ) ) ).
fof(t5_power, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) => k1_power(A, k5_numbers)=k5_numbers) ) ) ).
fof(t6_power, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) => k1_power(A, 1)=1) ) ) ).
fof(t7_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(k5_numbers, A) & r1_xxreal_0(1, B))  => r1_xxreal_0(k5_numbers, k1_power(B, A))) ) ) ) ) ).
fof(t8_power, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (v1_abian(A))  => k1_power(A, k4_xcmplx_0(1))=k4_xcmplx_0(1)) ) ) ).
fof(t9_power, axiom,  (! [A] :  (v1_xreal_0(A) => k1_power(1, A)=A) ) ).
fof(t10_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (v1_abian(B))  => k1_power(B, A)=k4_xcmplx_0(k1_power(B, k4_xcmplx_0(A)))) ) ) ) ) ).
fof(t11_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ ( ( ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k5_numbers, A) & r1_xxreal_0(k5_numbers, B)) ) )  & v1_abian(C)) )  => k1_power(C, k3_xcmplx_0(A, B))=k3_xcmplx_0(k1_power(C, A), k1_power(C, B))) ) ) ) ) ) ) ).
fof(t12_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ( ( ~ (r1_xxreal_0(A, k5_numbers))  & r1_xxreal_0(1, B))  |  ( ~ (A=k5_numbers)  &  ~ (v1_abian(B)) ) )  => k1_power(B, k7_xcmplx_0(1, A))=k7_xcmplx_0(1, k1_power(B, A))) ) ) ) ) ).
fof(t13_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( ( (r1_xxreal_0(k5_numbers, A) &  ( ~ (r1_xxreal_0(B, k5_numbers))  & r1_xxreal_0(1, C)) )  |  ( ~ (B=k5_numbers)  &  ~ (v1_abian(C)) ) )  => k1_power(C, k7_xcmplx_0(A, B))=k7_xcmplx_0(k1_power(C, A), k1_power(C, B))) ) ) ) ) ) ) ).
fof(t14_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( ( (r1_xxreal_0(k5_numbers, A) &  (r1_xxreal_0(1, C) & r1_xxreal_0(1, B)) )  |  ( ~ (v1_abian(C))  &  ~ (v1_abian(B)) ) )  => k1_power(C, k1_power(B, A))=k1_power(k3_xcmplx_0(C, B), A)) ) ) ) ) ) ) ).
fof(t15_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( ( (r1_xxreal_0(k5_numbers, A) &  (r1_xxreal_0(1, C) & r1_xxreal_0(1, B)) )  |  ( ~ (v1_abian(C))  &  ~ (v1_abian(B)) ) )  => k3_xcmplx_0(k1_power(C, A), k1_power(B, A))=k1_power(k3_xcmplx_0(C, B), k1_newton(A, k2_xcmplx_0(C, B)))) ) ) ) ) ) ) ).
fof(t16_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(A, B) =>  ( ( ~ ( (r1_xxreal_0(k5_numbers, A) & r1_xxreal_0(1, C)) )  & v1_abian(C))  | r1_xxreal_0(k1_power(C, A), k1_power(C, B))) ) ) ) ) ) ) ) ).
fof(t17_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  ( ~ ( ( ~ ( (r1_xxreal_0(k5_numbers, A) & r1_xxreal_0(1, C)) )  & v1_abian(C)) )  & r1_xxreal_0(k1_power(C, B), k1_power(C, A))) ) ) ) ) ) ) ) ) ).
fof(t18_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(1, B))  =>  (r1_xxreal_0(1, k1_power(B, A)) & r1_xxreal_0(k1_power(B, A), A)) ) ) ) ) ) ).
fof(t19_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) =>  (v1_abian(B) |  (r1_xxreal_0(k1_power(B, A), k4_xcmplx_0(1)) & r1_xxreal_0(A, k1_power(B, A))) ) ) ) ) ) ) ).
fof(t20_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(k5_numbers, A) & r1_xxreal_0(1, B))  =>  (r1_xxreal_0(1, A) |  (r1_xxreal_0(A, k1_power(B, A)) &  ~ (r1_xxreal_0(1, k1_power(B, A))) ) ) ) ) ) ) ) ).
fof(t21_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(A, k5_numbers) =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) |  (v1_abian(B) |  (r1_xxreal_0(k1_power(B, A), A) &  ~ (r1_xxreal_0(k1_power(B, A), k4_xcmplx_0(1))) ) ) ) ) ) ) ) ) ).
fof(t22_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(1, B) =>  (r1_xxreal_0(A, k5_numbers) | r1_xxreal_0(k6_xcmplx_0(k1_power(B, A), 1), k7_xcmplx_0(k6_xcmplx_0(A, 1), B))) ) ) ) ) ) ).
fof(t23_power, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  (v1_xreal_0(B) =>  ( (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(1, C) => k8_nat_1(k1_numbers, A, C)=k1_power(C, B)) ) )  =>  (r1_xxreal_0(B, k5_numbers) |  (v2_comseq_2(A) & k1_seq_2(A)=1) ) ) ) ) ) ) ).
fof(d2_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( ( ~ (r1_xxreal_0(A, k5_numbers))  =>  (C=k2_power(A, B) <=> C=k6_prepower(A, B)) )  &  ( (A=k5_numbers =>  (r1_xxreal_0(B, k5_numbers) |  (C=k2_power(A, B) <=> C=k5_numbers) ) )  &  (v1_int_1(B) =>  (C=k2_power(A, B) <=>  (? [D] :  (v1_int_1(D) &  (D=B & C=k3_prepower(A, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_power, axiom,  (! [A] :  (v1_xreal_0(A) => k2_power(A, k5_numbers)=1) ) ).
fof(t25_power, axiom,  (! [A] :  (v1_xreal_0(A) => k2_power(A, 1)=A) ) ).
fof(t26_power, axiom,  (! [A] :  (v1_xreal_0(A) => k2_power(1, A)=1) ) ).
fof(t27_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k2_power(A, k2_xcmplx_0(B, C))=k3_xcmplx_0(k2_power(A, B), k2_power(A, C))) ) ) ) ) ) ) ).
fof(t28_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k2_power(A, k4_xcmplx_0(B))=k7_xcmplx_0(1, k2_power(A, B))) ) ) ) ) ).
fof(t29_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k2_power(A, k6_xcmplx_0(B, C))=k7_xcmplx_0(k2_power(A, B), k2_power(A, C))) ) ) ) ) ) ) ).
fof(t30_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  ~ (k2_power(k3_xcmplx_0(A, B), C)=k3_xcmplx_0(k2_power(A, C), k2_power(B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t31_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  ~ (k2_power(k7_xcmplx_0(A, B), C)=k7_xcmplx_0(k2_power(A, C), k2_power(B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t32_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k2_power(k7_xcmplx_0(1, A), B)=k2_power(A, k4_xcmplx_0(B))) ) ) ) ) ).
fof(t33_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k2_power(k2_power(A, B), C)=k2_power(A, k3_xcmplx_0(B, C))) ) ) ) ) ) ) ).
fof(t34_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  & r1_xxreal_0(k2_power(A, B), k5_numbers)) ) ) ) ) ) ).
fof(t35_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, 1))  &  ( ~ (r1_xxreal_0(B, k5_numbers))  & r1_xxreal_0(k2_power(A, B), 1)) ) ) ) ) ) ) ).
fof(t36_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, 1))  &  ( ~ (r1_xxreal_0(k5_numbers, B))  & r1_xxreal_0(1, k2_power(A, B))) ) ) ) ) ) ) ).
fof(t37_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(B, A))  &  ( ~ (r1_xxreal_0(C, k5_numbers))  & r1_xxreal_0(k2_power(B, C), k2_power(A, C))) ) ) ) ) ) ) ) ) ) ).
fof(t38_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(B, A))  &  ( ~ (r1_xxreal_0(k5_numbers, C))  & r1_xxreal_0(k2_power(A, C), k2_power(B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t39_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  ( ~ (r1_xxreal_0(C, 1))  & r1_xxreal_0(k2_power(C, B), k2_power(C, A))) ) ) ) ) ) ) ) ) ).
fof(t40_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  ( ~ (r1_xxreal_0(1, C))  & r1_xxreal_0(k2_power(C, A), k2_power(C, B))) ) ) ) ) ) ) ) ) ) ).
fof(t41_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) => k2_power(A, B)=k1_newton(A, B)) ) ) ) ).
fof(t42_power, axiom,  (! [A] :  (v1_int_1(A) =>  ( ~ (A=k5_numbers)  => k2_power(k5_numbers, A)=k5_numbers) ) ) ).
fof(t43_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_int_1(B) => k2_power(A, B)=k3_prepower(A, B)) ) ) ) ).
fof(t44_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_rat_1(B) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k2_power(A, B)=k4_prepower(A, B)) ) ) ) ) ).
fof(t45_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(k5_numbers, A) & r1_xxreal_0(1, B))  => k2_power(A, k7_xcmplx_0(1, B))=k1_power(B, A)) ) ) ) ) ).
fof(t46_power, axiom,  (! [A] :  (v1_xreal_0(A) => k2_power(A, 2)=k1_square_1(A)) ) ).
fof(t47_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_int_1(B) =>  (v1_abian(B) => k2_power(k4_xcmplx_0(A), B)=k2_power(A, B)) ) ) ) ) ).
fof(t48_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_int_1(B) =>  ( ~ (v1_abian(B))  => k2_power(k4_xcmplx_0(A), B)=k4_xcmplx_0(k2_power(A, B))) ) ) ) ) ).
fof(t49_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  => r1_xxreal_0(k2_xcmplx_0(1, k3_xcmplx_0(B, A)), k2_power(k2_xcmplx_0(1, A), B))) ) ) ) ) ).
fof(t50_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (A=1)  &  ( ~ (B=C)  & k2_power(A, B)=k2_power(A, C)) ) ) ) ) ) ) ) ) ) ).
fof(d3_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (A=1)  &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  ~ ( (! [C] :  (v1_xreal_0(C) =>  (C=k3_power(A, B) <=> k2_power(A, C)=B) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (A=1)  &  ~ (k3_power(A, 1)=k5_numbers) ) ) ) ) ) ).
fof(t52_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (A=1)  &  ~ (k3_power(A, A)=1) ) ) ) ) ) ).
fof(t53_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (A=1)  &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  ~ (k2_xcmplx_0(k3_power(A, B), k3_power(A, C))=k3_power(A, k3_xcmplx_0(B, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (A=1)  &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  ~ (k6_xcmplx_0(k3_power(A, B), k3_power(A, C))=k3_power(A, k7_xcmplx_0(B, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (A=1)  &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  ~ (k3_power(A, k2_power(B, C))=k3_xcmplx_0(C, k3_power(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (A=1)  &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  ( ~ (B=1)  &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  ~ (k3_power(A, C)=k3_xcmplx_0(k3_power(A, B), k3_power(B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(A, 1))  &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  ( ~ (r1_xxreal_0(C, B))  & r1_xxreal_0(k3_power(A, C), k3_power(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(t58_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(1, A))  &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  ( ~ (r1_xxreal_0(C, B))  & r1_xxreal_0(k3_power(A, B), k3_power(A, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_power, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (! [B] :  (v7_ordinal1(B) => k8_nat_1(k1_numbers, A, B)=k2_power(k2_xcmplx_0(1, k7_xcmplx_0(1, k1_nat_1(B, 1))), k1_nat_1(B, 1))) )  => v2_comseq_2(A)) ) ) ).
fof(d4_power, axiom,  (! [A] :  (v1_xreal_0(A) =>  (A=k4_power <=>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (! [C] :  (v7_ordinal1(C) => k8_nat_1(k1_numbers, B, C)=k2_power(k2_xcmplx_0(1, k7_xcmplx_0(1, k1_nat_1(C, 1))), k1_nat_1(C, 1))) )  => A=k1_seq_2(B)) ) ) ) ) ) ).
fof(t60_power, axiom, k2_power(2, 2)=4).
fof(t61_power, axiom, k2_power(2, 3)=8).
fof(t62_power, axiom, k2_power(2, 4)=16).
fof(t63_power, axiom, k2_power(2, 5)=32).
fof(t64_power, axiom, k2_power(2, 6)=64).
fof(dt_k1_power, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v1_xreal_0(B))  => v1_xreal_0(k1_power(A, B))) ) ).
fof(dt_k2_power, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k2_power(A, B))) ) ).
fof(dt_k3_power, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k3_power(A, B))) ) ).
fof(dt_k4_power, axiom, v1_xreal_0(k4_power)).
fof(fc1_pralg_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_funct_1(k7_pralg_1(A)) &  ( ~ (v1_xboole_0(k7_pralg_1(A)))  &  (v2_margrel1(k7_pralg_1(A)) & v3_margrel1(k7_pralg_1(A), k1_tarski(k1_xboole_0))) ) ) ) ) ).
fof(rc1_pralg_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k3_finseq_2(A)) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) &  (v4_card_3(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_pralg_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v1_pralg_1(A)) ) ) ).
fof(cc1_pralg_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_pralg_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_pralg_1(A)) ) ) ) ).
fof(rc3_pralg_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v2_pralg_1(B)) ) ) ) ) ) ).
fof(rc4_pralg_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, A) &  (v1_pralg_1(B) & v3_pralg_1(B)) ) ) ) ) ) ) ) ) ).
fof(fc2_pralg_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_pralg_1(B)) ) ) ) )  =>  (v1_relat_1(k12_pralg_1(A, B)) &  (v2_relat_1(k12_pralg_1(A, B)) &  (v4_relat_1(k12_pralg_1(A, B), A) &  (v1_funct_1(k12_pralg_1(A, B)) & v1_partfun1(k12_pralg_1(A, B), A)) ) ) ) ) ) ).
fof(fc3_pralg_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) ) )  =>  ~ (v1_xboole_0(k4_card_3(B))) ) ) ).
fof(rc5_pralg_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) ) )  =>  (? [C] :  (m1_pralg_1(C, A, B) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v1_partfun1(C, A) &  (v1_funcop_1(C) &  (v2_funcop_1(C) & v4_pralg_1(C)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc4_pralg_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_funcop_1(B)) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (v1_relat_1(k15_pralg_1(B, C)) &  (v4_relat_1(k15_pralg_1(B, C), A) & v1_funct_1(k15_pralg_1(B, C))) ) ) ) ).
fof(fc5_pralg_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_funcop_1(B)) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (v1_relat_1(k15_pralg_1(B, C)) &  (v4_relat_1(k15_pralg_1(B, C), A) &  (v1_funct_1(k15_pralg_1(B, C)) & v1_partfun1(k15_pralg_1(B, C), A)) ) ) ) ) ).
fof(fc6_pralg_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  & m1_finseq_1(C, k4_card_3(B))) )  =>  (v1_relat_1(k2_funct_5(C)) &  (v4_relat_1(k2_funct_5(C), k2_zfmisc_1(k4_finseq_1(C), A)) & v1_funct_1(k2_funct_5(C))) ) ) ) ).
fof(fc7_pralg_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  & m1_finseq_1(C, k4_card_3(B))) )  =>  (v1_relat_1(k2_funct_5(C)) &  (v4_relat_1(k2_funct_5(C), k2_zfmisc_1(k4_finseq_1(C), A)) &  (v1_funct_1(k2_funct_5(C)) & v1_partfun1(k2_funct_5(C), k2_zfmisc_1(k4_finseq_1(C), A))) ) ) ) ) ).
fof(fc8_pralg_1, axiom,  (! [A, B, C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k2_zfmisc_1(A, B)) &  (v1_funct_1(C) & v1_partfun1(C, k2_zfmisc_1(A, B))) ) )  =>  (v1_relat_1(k2_funct_4(C)) &  (v4_relat_1(k2_funct_4(C), k2_zfmisc_1(B, A)) & v1_funct_1(k2_funct_4(C))) ) ) ) ).
fof(fc9_pralg_1, axiom,  (! [A, B, C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k2_zfmisc_1(A, B)) &  (v1_funct_1(C) & v1_partfun1(C, k2_zfmisc_1(A, B))) ) )  =>  (v1_relat_1(k2_funct_4(C)) &  (v4_relat_1(k2_funct_4(C), k2_zfmisc_1(B, A)) &  (v1_funct_1(k2_funct_4(C)) & v1_partfun1(k2_funct_4(C), k2_zfmisc_1(B, A))) ) ) ) ) ).
fof(fc10_pralg_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(C) &  (v4_relat_1(C, k2_zfmisc_1(A, B)) &  (v1_funct_1(C) & v1_partfun1(C, k2_zfmisc_1(A, B))) ) ) )  =>  (v1_relat_1(k1_funct_5(C)) &  (v4_relat_1(k1_funct_5(C), A) & v1_funct_1(k1_funct_5(C))) ) ) ) ).
fof(fc11_pralg_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(C) &  (v4_relat_1(C, k2_zfmisc_1(A, B)) &  (v1_funct_1(C) & v1_partfun1(C, k2_zfmisc_1(A, B))) ) ) )  =>  (v1_relat_1(k1_funct_5(C)) &  (v4_relat_1(k1_funct_5(C), A) &  (v1_funct_1(k1_funct_5(C)) & v1_partfun1(k1_funct_5(C), A)) ) ) ) ) ).
fof(d1_pralg_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, k2_zfmisc_1(A, B)) =>  (! [D] :  (m2_finseq_1(D, A) =>  (D=k1_pralg_1(A, B, C) <=>  (k3_finseq_1(D)=k3_finseq_1(C) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) => k1_funct_1(D, E)=k1_xtuple_0(k1_funct_1(C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_pralg_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, k2_zfmisc_1(A, B)) =>  (! [D] :  (m2_finseq_1(D, B) =>  (D=k2_pralg_1(A, B, C) <=>  (k3_finseq_1(D)=k3_finseq_1(C) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) => k1_funct_1(D, E)=k2_xtuple_0(k1_funct_1(C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_pralg_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v2_margrel1(C) &  (v3_margrel1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), A)))) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  ( ~ (v1_xboole_0(D))  &  (v2_margrel1(D) &  (v3_margrel1(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(B), B)))) ) ) )  =>  (k18_margrel1(C)=k18_margrel1(D) =>  (! [E] :  ( (v1_funct_1(E) &  ( ~ (v1_xboole_0(E))  &  (v2_margrel1(E) &  (v3_margrel1(E, k2_zfmisc_1(A, B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(k2_zfmisc_1(A, B)), k2_zfmisc_1(A, B))))) ) ) )  =>  (E=k3_pralg_1(A, B, C, D) <=>  (k9_xtuple_0(E)=k4_finseq_2(k18_margrel1(C), k2_zfmisc_1(A, B)) &  (! [F] :  (m2_finseq_1(F, k2_zfmisc_1(A, B)) =>  (r2_tarski(F, k9_xtuple_0(E)) => k1_funct_1(E, F)=k4_tarski(k1_funct_1(C, k1_pralg_1(A, B, F)), k1_funct_1(D, k2_pralg_1(A, B, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_pralg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (r1_unialg_2(A, B) =>  (! [C] :  (m2_finseq_1(C, k4_partfun1(k3_finseq_2(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) =>  (C=k4_pralg_1(A, B) <=>  (k3_finseq_1(C)=k3_finseq_1(u1_unialg_1(A)) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(C)) =>  (! [E] :  ( (v1_funct_1(E) &  ( ~ (v1_xboole_0(E))  &  (v2_margrel1(E) &  (v3_margrel1(E, u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A))))) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  ( ~ (v1_xboole_0(F))  &  (v2_margrel1(F) &  (v3_margrel1(F, u1_struct_0(B)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(B)), u1_struct_0(B))))) ) ) )  =>  ( (E=k1_funct_1(u1_unialg_1(A), D) & F=k1_funct_1(u1_unialg_1(B), D))  => k1_funct_1(C, D)=k3_pralg_1(u1_struct_0(A), u1_struct_0(B), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_pralg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (r1_unialg_2(A, B) =>  ( ~ (v2_struct_0(g1_unialg_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k4_pralg_1(A, B))))  &  (v1_unialg_1(g1_unialg_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k4_pralg_1(A, B))) &  (v2_unialg_1(g1_unialg_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k4_pralg_1(A, B))) &  (v3_unialg_1(g1_unialg_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k4_pralg_1(A, B))) &  (v4_unialg_1(g1_unialg_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k4_pralg_1(A, B))) & l1_unialg_1(g1_unialg_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k4_pralg_1(A, B)))) ) ) ) ) ) ) ) ) ) ).
fof(d5_pralg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (r1_unialg_2(A, B) => k5_pralg_1(A, B)=g1_unialg_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k4_pralg_1(A, B))) ) ) ) ) ).
fof(d6_pralg_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k2_zfmisc_1(B, A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k2_zfmisc_1(B, A))))) )  =>  (C=k6_pralg_1(A, B) <=>  (! [D] :  (m1_subset_1(D, k2_zfmisc_1(A, B)) => k3_funct_2(k2_zfmisc_1(A, B), k2_zfmisc_1(B, A), C, D)=k1_domain_1(B, A, k3_domain_1(A, B, D), k2_domain_1(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t2_pralg_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  => k11_funcop_1(k2_zfmisc_1(A, B), B, A, k6_pralg_1(A, B))=k2_zfmisc_1(B, A)) ) ) ) ).
fof(t3_pralg_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  => v2_funct_1(k6_pralg_1(A, B))) ) ) ) ).
fof(t4_pralg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (r1_unialg_2(A, B) =>  (v1_funct_1(k6_pralg_1(u1_struct_0(A), u1_struct_0(B))) &  (v1_funct_2(k6_pralg_1(u1_struct_0(A), u1_struct_0(B)), u1_struct_0(k5_pralg_1(A, B)), u1_struct_0(k5_pralg_1(B, A))) & m1_subset_1(k6_pralg_1(u1_struct_0(A), u1_struct_0(B)), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_pralg_1(A, B)), u1_struct_0(k5_pralg_1(B, A)))))) ) ) ) ) ) ) ).
fof(t5_pralg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (r1_unialg_2(A, B) =>  (! [C] :  (m5_margrel1(C, u1_struct_0(A), k1_unialg_2(A)) =>  (! [D] :  (m5_margrel1(D, u1_struct_0(B), k1_unialg_2(B)) =>  (! [E] :  (m5_margrel1(E, u1_struct_0(k5_pralg_1(A, B)), k1_unialg_2(k5_pralg_1(A, B))) =>  (! [F] :  (v7_ordinal1(F) =>  ( (C=k1_funct_1(u1_unialg_1(A), F) &  (D=k1_funct_1(u1_unialg_1(B), F) &  (E=k1_funct_1(u1_unialg_1(k5_pralg_1(A, B)), F) & r2_tarski(F, k4_finseq_1(u1_unialg_1(A)))) ) )  =>  (k18_margrel1(E)=k18_margrel1(C) &  (k18_margrel1(E)=k18_margrel1(D) & E=k3_pralg_1(u1_struct_0(A), u1_struct_0(B), C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_pralg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (r1_unialg_2(A, B) => r1_unialg_2(k5_pralg_1(A, B), A)) ) ) ) ) ).
fof(t7_pralg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_unialg_1(C) &  (v3_unialg_1(C) &  (v4_unialg_1(C) & l1_unialg_1(C)) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v2_unialg_1(D) &  (v3_unialg_1(D) &  (v4_unialg_1(D) & l1_unialg_1(D)) ) ) )  =>  ( (m1_unialg_2(A, B) &  (m1_unialg_2(C, D) & r1_unialg_2(B, D)) )  => m1_unialg_2(k5_pralg_1(A, C), k5_pralg_1(B, D))) ) ) ) ) ) ) ) ) ).
fof(d7_pralg_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(k1_tarski(k1_xboole_0)), k1_tarski(k1_xboole_0)))))  =>  (B=k7_pralg_1(A) <=>  (k9_xtuple_0(B)=k1_tarski(k2_finseq_2(A, k1_xboole_0)) & k10_xtuple_0(B)=k1_tarski(k1_xboole_0)) ) ) ) ) ) ).
fof(t8_pralg_1, axiom,  (! [A] :  (v7_ordinal1(A) => k18_margrel1(k7_pralg_1(A))=A) ) ).
fof(d8_pralg_1, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  (! [B] :  (m2_finseq_1(B, k4_partfun1(k3_finseq_2(k1_tarski(k1_xboole_0)), k1_tarski(k1_xboole_0))) =>  (B=k8_pralg_1(A) <=>  (k3_finseq_1(B)=k3_finseq_1(A) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(B)) =>  (! [D] :  (v7_ordinal1(D) =>  (D=k1_funct_1(A, C) => k1_funct_1(B, C)=k7_pralg_1(D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_pralg_1, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  (v4_margrel1(k8_pralg_1(A), k1_tarski(k1_xboole_0)) &  (v5_margrel1(k8_pralg_1(A), k1_tarski(k1_xboole_0)) & v2_relat_1(k8_pralg_1(A))) ) ) ) ).
fof(t10_pralg_1, axiom,  (! [A] :  (m2_finseq_1(A, k4_ordinal1) =>  ( ~ (A=k1_xboole_0)  =>  ( ~ (v2_struct_0(g1_unialg_1(k1_tarski(k1_xboole_0), k8_pralg_1(A))))  &  (v1_unialg_1(g1_unialg_1(k1_tarski(k1_xboole_0), k8_pralg_1(A))) &  (v2_unialg_1(g1_unialg_1(k1_tarski(k1_xboole_0), k8_pralg_1(A))) &  (v3_unialg_1(g1_unialg_1(k1_tarski(k1_xboole_0), k8_pralg_1(A))) &  (v4_unialg_1(g1_unialg_1(k1_tarski(k1_xboole_0), k8_pralg_1(A))) & l1_unialg_1(g1_unialg_1(k1_tarski(k1_xboole_0), k8_pralg_1(A)))) ) ) ) ) ) ) ) ).
fof(d9_pralg_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m2_finseq_1(A, k4_ordinal1))  => k9_pralg_1(A)=g1_unialg_1(k1_tarski(k1_xboole_0), k8_pralg_1(A))) ) ).
fof(d10_pralg_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_pralg_1(A) <=>  (! [B] :  (r2_hidden(B, k9_xtuple_0(A)) =>  ( ~ (v2_struct_0(k1_funct_1(A, B)))  &  (v2_unialg_1(k1_funct_1(A, B)) &  (v3_unialg_1(k1_funct_1(A, B)) &  (v4_unialg_1(k1_funct_1(A, B)) & l1_unialg_1(k1_funct_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(d11_pralg_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v2_pralg_1(A) <=>  (! [B] :  (r2_hidden(B, k9_xtuple_0(A)) => l1_struct_0(k1_funct_1(A, B))) ) ) ) ) ).
fof(d12_pralg_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v3_pralg_1(A) <=>  (! [B] :  (! [C] :  ( (r2_hidden(B, k9_xtuple_0(A)) & r2_hidden(C, k9_xtuple_0(A)))  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v2_unialg_1(D) &  (v3_unialg_1(D) &  (v4_unialg_1(D) & l1_unialg_1(D)) ) ) )  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v2_unialg_1(E) &  (v3_unialg_1(E) &  (v4_unialg_1(E) & l1_unialg_1(E)) ) ) )  =>  ( (D=k1_funct_1(A, B) & E=k1_funct_1(A, C))  => k1_unialg_1(D)=k1_unialg_1(E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_pralg_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v2_pralg_1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (C=k12_pralg_1(A, B) <=>  (! [D] :  ~ ( (r2_tarski(D, A) &  (! [E] :  (l1_struct_0(E) =>  ~ ( (E=k1_funct_1(B, D) & k1_funct_1(C, D)=u1_struct_0(E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_pralg_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_pralg_1(B) & v3_pralg_1(B)) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (C=k13_pralg_1(A, B) <=>  (! [D] :  (m1_subset_1(D, A) => C=k1_unialg_1(k11_pralg_1(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(d15_pralg_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v1_funcop_1(C)) ) ) )  =>  (m1_pralg_1(C, A, B) <=>  (! [D] :  (m1_subset_1(D, A) =>  (v1_funct_1(k1_funct_1(C, D)) &  ( ~ (v1_xboole_0(k1_funct_1(C, D)))  &  (v2_margrel1(k1_funct_1(C, D)) &  (v3_margrel1(k1_funct_1(C, D), k1_funct_1(B, D)) & m1_subset_1(k1_funct_1(C, D), k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(k1_funct_1(B, D)), k1_funct_1(B, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_pralg_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v4_pralg_1(A) <=>  (! [B] :  (! [C] :  ( (r2_tarski(B, k9_xtuple_0(A)) & r2_tarski(C, k9_xtuple_0(A)))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  ( (k1_funct_1(A, B)=D & k1_funct_1(A, C)=E)  =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  ( ~ (v1_xboole_0(H))  =>  (! [I] :  ( ~ (v1_xboole_0(I))  =>  ( (k9_xtuple_0(D)=k4_finseq_2(F, H) & k9_xtuple_0(E)=k4_finseq_2(G, I))  =>  (! [J] :  ( (v1_funct_1(J) &  ( ~ (v1_xboole_0(J))  &  (v2_margrel1(J) &  (v3_margrel1(J, H) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(H), H)))) ) ) )  =>  (! [K] :  ( (v1_funct_1(K) &  ( ~ (v1_xboole_0(K))  &  (v2_margrel1(K) &  (v3_margrel1(K, I) & m1_subset_1(K, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(I), I)))) ) ) )  =>  ( (D=J & E=K)  => k18_margrel1(J)=k18_margrel1(K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_pralg_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  (m1_pralg_1(C, A, B) =>  (v4_pralg_1(C) <=>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) => k18_margrel1(k14_pralg_1(A, B, C, D))=k18_margrel1(k14_pralg_1(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_pralg_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k15_pralg_1(A, B) <=>  (k9_xtuple_0(C)=k9_xtuple_0(A) &  (! [D] :  (r2_tarski(D, k9_xtuple_0(A)) => k1_funct_1(C, D)=k1_funct_1(k1_funct_1(A, D), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ).
fof(d18_pralg_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_funcop_1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (D=k16_pralg_1(A, B, C) <=>  (k9_xtuple_0(D)=A &  (! [E] :  (r2_tarski(E, A) =>  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  (F=k1_funct_1(B, E) => k1_funct_1(D, E)=k1_funct_1(F, k1_funct_1(C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_pralg_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  ( (v4_pralg_1(C) & m1_pralg_1(C, A, B))  =>  (! [D] :  (v7_ordinal1(D) =>  (D=k17_pralg_1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) => D=k18_margrel1(k14_pralg_1(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d21_pralg_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  ( (v4_pralg_1(C) & m1_pralg_1(C, A, B))  =>  (! [D] :  ( (v1_funct_1(D) &  ( ~ (v1_xboole_0(D))  &  (v2_margrel1(D) &  (v3_margrel1(D, k4_card_3(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(k4_card_3(B)), k4_card_3(B))))) ) ) )  =>  (D=k18_pralg_1(A, B, C) <=>  (k9_xtuple_0(D)=k4_finseq_2(k17_pralg_1(A, B, C), k4_card_3(B)) &  (! [E] :  (m2_finseq_2(E, k4_card_3(B), k3_finseq_2(k4_card_3(B))) =>  (r2_tarski(E, k9_xtuple_0(D)) =>  ( (k4_finseq_1(E)=k1_xboole_0 => k1_funct_1(D, E)=k16_pralg_1(A, C, k1_pboole(A)))  &  ( ~ (k4_finseq_1(E)=k1_xboole_0)  =>  (! [F] :  ( ~ (v1_xboole_0(F))  =>  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, k2_zfmisc_1(A, F)) &  (v1_funct_1(G) & v1_partfun1(G, k2_zfmisc_1(A, F))) ) )  =>  ( (F=k4_finseq_1(E) & G=k2_funct_4(k2_funct_5(E)))  => k1_funct_1(D, E)=k16_pralg_1(A, C, k1_funct_5(G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d22_pralg_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_pralg_1(B) & v3_pralg_1(B)) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(k13_pralg_1(A, B))) =>  (! [D] :  ( (v4_pralg_1(D) & m1_pralg_1(D, A, k12_pralg_1(A, B)))  =>  (D=k19_pralg_1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m5_margrel1(F, u1_struct_0(k11_pralg_1(A, B, E)), k1_unialg_2(k11_pralg_1(A, B, E))) =>  (k1_funct_1(u1_unialg_1(k11_pralg_1(A, B, E)), C)=F => k14_pralg_1(A, k12_pralg_1(A, B), D, E)=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d23_pralg_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_pralg_1(B) & v3_pralg_1(B)) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, k4_partfun1(k3_finseq_2(k4_card_3(k12_pralg_1(A, B))), k4_card_3(k12_pralg_1(A, B)))) =>  (C=k20_pralg_1(A, B) <=>  (k3_finseq_1(C)=k3_finseq_1(k13_pralg_1(A, B)) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(C)) => k1_funct_1(C, D)=k18_pralg_1(A, k12_pralg_1(A, B), k19_pralg_1(A, B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d24_pralg_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_pralg_1(B) & v3_pralg_1(B)) ) ) ) )  => k21_pralg_1(A, B)=g1_unialg_1(k4_card_3(k12_pralg_1(A, B)), k20_pralg_1(A, B))) ) ) ) ).
fof(dt_k1_pralg_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_finseq_1(C, k2_zfmisc_1(A, B))) )  => m2_finseq_1(k1_pralg_1(A, B, C), A)) ) ).
fof(redefinition_k1_pralg_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_finseq_1(C, k2_zfmisc_1(A, B))) )  => k1_pralg_1(A, B, C)=k11_mcart_1(C)) ) ).
fof(dt_k2_pralg_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_finseq_1(C, k2_zfmisc_1(A, B))) )  => m2_finseq_1(k2_pralg_1(A, B, C), B)) ) ).
fof(redefinition_k2_pralg_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_finseq_1(C, k2_zfmisc_1(A, B))) )  => k2_pralg_1(A, B, C)=k12_mcart_1(C)) ) ).
fof(dt_k3_pralg_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v2_margrel1(C) &  (v3_margrel1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), A)))) ) ) )  &  (v1_funct_1(D) &  ( ~ (v1_xboole_0(D))  &  (v2_margrel1(D) &  (v3_margrel1(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(B), B)))) ) ) ) ) ) )  =>  (v1_funct_1(k3_pralg_1(A, B, C, D)) &  ( ~ (v1_xboole_0(k3_pralg_1(A, B, C, D)))  &  (v2_margrel1(k3_pralg_1(A, B, C, D)) &  (v3_margrel1(k3_pralg_1(A, B, C, D), k2_zfmisc_1(A, B)) & m1_subset_1(k3_pralg_1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(k2_zfmisc_1(A, B)), k2_zfmisc_1(A, B))))) ) ) ) ) ) ).
fof(dt_k4_pralg_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) ) )  => m2_finseq_1(k4_pralg_1(A, B), k4_partfun1(k3_finseq_2(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ).
fof(dt_k5_pralg_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_unialg_1(A) &  (v3_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v2_unialg_1(B) &  (v3_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) ) ) ) )  =>  ( ~ (v2_struct_0(k5_pralg_1(A, B)))  &  (v1_unialg_1(k5_pralg_1(A, B)) &  (v2_unialg_1(k5_pralg_1(A, B)) &  (v3_unialg_1(k5_pralg_1(A, B)) &  (v4_unialg_1(k5_pralg_1(A, B)) & l1_unialg_1(k5_pralg_1(A, B))) ) ) ) ) ) ) ).
fof(dt_k6_pralg_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  (v1_funct_1(k6_pralg_1(A, B)) &  (v1_funct_2(k6_pralg_1(A, B), k2_zfmisc_1(A, B), k2_zfmisc_1(B, A)) & m1_subset_1(k6_pralg_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k2_zfmisc_1(B, A))))) ) ) ) ).
fof(dt_k7_pralg_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_funct_1(k7_pralg_1(A)) & m1_subset_1(k7_pralg_1(A), k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(k1_tarski(k1_xboole_0)), k1_tarski(k1_xboole_0))))) ) ) ).
fof(dt_k8_pralg_1, axiom,  (! [A] :  (m1_finseq_1(A, k4_ordinal1) => m2_finseq_1(k8_pralg_1(A), k4_partfun1(k3_finseq_2(k1_tarski(k1_xboole_0)), k1_tarski(k1_xboole_0)))) ) ).
fof(dt_k9_pralg_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(A, k4_ordinal1))  =>  ( ~ (v2_struct_0(k9_pralg_1(A)))  &  (v1_unialg_1(k9_pralg_1(A)) &  (v2_unialg_1(k9_pralg_1(A)) &  (v3_unialg_1(k9_pralg_1(A)) &  (v4_unialg_1(k9_pralg_1(A)) & l1_unialg_1(k9_pralg_1(A))) ) ) ) ) ) ) ).
fof(dt_k10_pralg_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v2_pralg_1(B)) ) ) )  & m1_subset_1(C, A)) )  => l1_struct_0(k10_pralg_1(A, B, C))) ) ).
fof(redefinition_k10_pralg_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v2_pralg_1(B)) ) ) )  & m1_subset_1(C, A)) )  => k10_pralg_1(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k11_pralg_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_pralg_1(B)) ) ) )  & m1_subset_1(C, A)) )  =>  ( ~ (v2_struct_0(k11_pralg_1(A, B, C)))  &  (v2_unialg_1(k11_pralg_1(A, B, C)) &  (v3_unialg_1(k11_pralg_1(A, B, C)) &  (v4_unialg_1(k11_pralg_1(A, B, C)) & l1_unialg_1(k11_pralg_1(A, B, C))) ) ) ) ) ) ).
fof(redefinition_k11_pralg_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_pralg_1(B)) ) ) )  & m1_subset_1(C, A)) )  => k11_pralg_1(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k12_pralg_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v2_pralg_1(B)) ) ) )  =>  (v1_relat_1(k12_pralg_1(A, B)) &  (v4_relat_1(k12_pralg_1(A, B), A) &  (v1_funct_1(k12_pralg_1(A, B)) & v1_partfun1(k12_pralg_1(A, B), A)) ) ) ) ) ).
fof(dt_k13_pralg_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_pralg_1(B) & v3_pralg_1(B)) ) ) ) ) )  => m2_finseq_1(k13_pralg_1(A, B), k4_ordinal1)) ) ).
fof(dt_m1_pralg_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) ) )  =>  (! [C] :  (m1_pralg_1(C, A, B) =>  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v1_funcop_1(C)) ) ) ) ) ) ) ) ).
fof(existence_m1_pralg_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) ) )  =>  (? [C] : m1_pralg_1(C, A, B)) ) ) ).
fof(dt_k14_pralg_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  &  (m1_pralg_1(C, A, B) & m1_subset_1(D, A)) ) )  =>  (v1_funct_1(k14_pralg_1(A, B, C, D)) &  ( ~ (v1_xboole_0(k14_pralg_1(A, B, C, D)))  &  (v2_margrel1(k14_pralg_1(A, B, C, D)) &  (v3_margrel1(k14_pralg_1(A, B, C, D), k1_funct_1(B, D)) & m1_subset_1(k14_pralg_1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(k1_funct_1(B, D)), k1_funct_1(B, D))))) ) ) ) ) ) ).
fof(redefinition_k14_pralg_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  &  (m1_pralg_1(C, A, B) & m1_subset_1(D, A)) ) )  => k14_pralg_1(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(dt_k15_pralg_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k15_pralg_1(A, B)) & v1_funct_1(k15_pralg_1(A, B))) ) ) ).
fof(dt_k16_pralg_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_funcop_1(B)) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (v1_relat_1(k16_pralg_1(A, B, C)) & v1_funct_1(k16_pralg_1(A, B, C))) ) ) ).
fof(redefinition_k16_pralg_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_funcop_1(B)) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  => k16_pralg_1(A, B, C)=k15_pralg_1(B, C)) ) ).
fof(dt_k17_pralg_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  &  (v4_pralg_1(C) & m1_pralg_1(C, A, B)) ) )  => v7_ordinal1(k17_pralg_1(A, B, C))) ) ).
fof(dt_k18_pralg_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  &  (v4_pralg_1(C) & m1_pralg_1(C, A, B)) ) )  =>  (v1_funct_1(k18_pralg_1(A, B, C)) &  ( ~ (v1_xboole_0(k18_pralg_1(A, B, C)))  &  (v2_margrel1(k18_pralg_1(A, B, C)) &  (v3_margrel1(k18_pralg_1(A, B, C), k4_card_3(B)) & m1_subset_1(k18_pralg_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(k4_card_3(B)), k4_card_3(B))))) ) ) ) ) ) ).
fof(dt_k19_pralg_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_pralg_1(B) & v3_pralg_1(B)) ) ) ) )  & v7_ordinal1(C)) )  =>  (v4_pralg_1(k19_pralg_1(A, B, C)) & m1_pralg_1(k19_pralg_1(A, B, C), A, k12_pralg_1(A, B))) ) ) ).
fof(dt_k20_pralg_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_pralg_1(B) & v3_pralg_1(B)) ) ) ) ) )  => m2_finseq_1(k20_pralg_1(A, B), k4_partfun1(k3_finseq_2(k4_card_3(k12_pralg_1(A, B))), k4_card_3(k12_pralg_1(A, B))))) ) ).
fof(dt_k21_pralg_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_pralg_1(B) & v3_pralg_1(B)) ) ) ) ) )  =>  ( ~ (v2_struct_0(k21_pralg_1(A, B)))  &  (v1_unialg_1(k21_pralg_1(A, B)) &  (v2_unialg_1(k21_pralg_1(A, B)) &  (v3_unialg_1(k21_pralg_1(A, B)) &  (v4_unialg_1(k21_pralg_1(A, B)) & l1_unialg_1(k21_pralg_1(A, B))) ) ) ) ) ) ) ).
fof(cc1_pralg_2, axiom,  (! [A] :  ( (v4_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v2_card_3(A)) )  =>  (! [B] :  (m1_subset_1(B, A) => v4_relat_1(B, k9_card_3(A))) ) ) ) ).
fof(cc2_pralg_2, axiom,  (! [A] :  ( (v4_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v2_card_3(A)) )  =>  (! [B] :  (m1_subset_1(B, A) => v1_partfun1(B, k9_card_3(A))) ) ) ) ).
fof(fc1_pralg_2, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  &  (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) ) )  =>  (v1_relat_1(k6_pboole(A, B, C)) &  (v2_relat_1(k6_pboole(A, B, C)) &  (v4_relat_1(k6_pboole(A, B, C), A) &  (v1_funct_1(k6_pboole(A, B, C)) & v1_partfun1(k6_pboole(A, B, C), A)) ) ) ) ) ) ).
fof(fc2_pralg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  ~ (v1_xboole_0(k6_pralg_2(A, B))) ) ) ).
fof(fc3_pralg_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  & m1_pralg_2(C, A, B)) )  =>  ~ (v1_xboole_0(k7_pralg_2(A, B, C))) ) ) ).
fof(fc4_pralg_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  (v4_msualg_1(C, A) & l3_msualg_1(C, A)) ) )  => v3_msualg_1(k8_pralg_2(A, B, C), A)) ) ).
fof(fc5_pralg_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  &  (m1_subset_1(C, u1_struct_0(B)) & m1_pralg_2(D, A, B)) )  =>  (v1_relat_1(k9_pralg_2(A, B, C, D)) &  (v2_relat_1(k9_pralg_2(A, B, C, D)) &  (v4_relat_1(k9_pralg_2(A, B, C, D), A) &  (v1_funct_1(k9_pralg_2(A, B, C, D)) & v1_partfun1(k9_pralg_2(A, B, C, D), A)) ) ) ) ) ) ).
fof(fc6_pralg_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  & m1_pralg_2(C, A, B))  =>  (v1_relat_1(k10_pralg_2(A, B, C)) &  (v2_relat_1(k10_pralg_2(A, B, C)) &  (v4_relat_1(k10_pralg_2(A, B, C), u1_struct_0(B)) &  (v1_funct_1(k10_pralg_2(A, B, C)) & v1_partfun1(k10_pralg_2(A, B, C), u1_struct_0(B))) ) ) ) ) ) ).
fof(fc7_pralg_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  & m1_pralg_2(C, A, B))  => v3_msualg_1(k14_pralg_2(A, B, C), B)) ) ).
fof(d1_pralg_2, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (B=k1_pralg_2(A) <=>  ( (! [C] :  (r2_hidden(C, k9_xtuple_0(B)) <=>  (? [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  &  (r2_tarski(D, k9_xtuple_0(A)) & C=k9_funct_6(D)) ) ) ) )  &  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r2_tarski(C, k9_xtuple_0(B)) => k1_funct_1(B, C)=k1_funct_1(A, k9_funct_6(C))) ) ) ) ) ) ) ) ) ).
fof(t1_pralg_2, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (k9_xtuple_0(A)=k1_tarski(k1_xboole_0) => k1_pralg_2(A)=A) ) ) ).
fof(d2_pralg_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_card_3(k1_funct_6(A))) &  (v1_funct_1(B) &  (v1_partfun1(B, k4_card_3(k1_funct_6(A))) & v1_funcop_1(B)) ) ) )  =>  (B=k2_pralg_2(A) <=>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r2_tarski(C, k4_card_3(k1_funct_6(A))) => k1_funct_1(B, C)=k15_pralg_1(A, C)) ) ) ) ) ) ) ) ).
fof(t2_pralg_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  => r6_pboole(B, k3_relat_1(E, k6_pboole(A, C, D)), k6_pboole(B, k3_relat_1(E, C), k3_relat_1(E, D)))) ) ) ) ) ) ) ) ) ).
fof(d3_pralg_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  (m2_finseq_2(D, A, k3_finseq_2(A)) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k1_funct_1(k6_finseq_2(A, B), D), k1_funct_1(B, E)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k6_finseq_2(A, B), D), k1_funct_1(B, E))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k1_funct_1(k6_finseq_2(A, C), D), k1_funct_1(C, E)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k6_finseq_2(A, C), D), k1_funct_1(C, E))))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k1_funct_1(k6_finseq_2(A, k6_pboole(A, B, C)), D), k1_funct_1(k6_pboole(A, B, C), E)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k6_finseq_2(A, k6_pboole(A, B, C)), D), k1_funct_1(k6_pboole(A, B, C), E))))) )  =>  (H=k3_pralg_2(A, B, C, D, E, F, G) <=>  (! [I] :  ( (v1_relat_1(I) & v1_funct_1(I))  =>  (r2_tarski(I, k1_funct_1(k6_finseq_2(A, k6_pboole(A, B, C)), D)) => k1_funct_1(H, I)=k4_tarski(k1_funct_1(F, k11_mcart_1(I)), k1_funct_1(G, k12_mcart_1(I)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_pralg_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, k3_finseq_2(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k3_finseq_2(A))))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, B, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  =>  (! [G] :  (m2_pboole(G, B, k3_relat_1(E, k6_finseq_2(A, C)), k3_relat_1(F, C)) =>  (! [H] :  (m2_pboole(H, B, k3_relat_1(E, k6_finseq_2(A, D)), k3_relat_1(F, D)) =>  (! [I] :  (m2_pboole(I, B, k3_relat_1(E, k6_finseq_2(A, k6_pboole(A, C, D))), k3_relat_1(F, k6_pboole(A, C, D))) =>  (I=k4_pralg_2(A, B, C, D, E, F, G, H) <=>  (! [J] :  (r2_hidden(J, B) =>  (! [K] :  (m2_finseq_2(K, A, k3_finseq_2(A)) =>  (! [L] :  (m1_subset_1(L, A) =>  ( (K=k1_funct_1(E, J) & L=k1_funct_1(F, J))  =>  (! [M] :  ( (v1_funct_1(M) &  (v1_funct_2(M, k1_funct_1(k6_finseq_2(A, C), K), k1_funct_1(C, L)) & m1_subset_1(M, k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k6_finseq_2(A, C), K), k1_funct_1(C, L))))) )  =>  (! [N] :  ( (v1_funct_1(N) &  (v1_funct_2(N, k1_funct_1(k6_finseq_2(A, D), K), k1_funct_1(D, L)) & m1_subset_1(N, k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k6_finseq_2(A, D), K), k1_funct_1(D, L))))) )  =>  ( (M=k1_funct_1(G, J) & N=k1_funct_1(H, J))  => k1_funct_1(I, J)=k3_pralg_2(A, C, D, K, L, M, N)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_pralg_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (m1_pralg_2(C, A, B) <=>  (! [D] :  (r2_hidden(D, A) =>  (v4_msualg_1(k1_funct_1(C, D), B) & l3_msualg_1(k1_funct_1(C, D), B)) ) ) ) ) ) ) ) ) ).
fof(d6_pralg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  (l3_msualg_1(B, A) => k6_pralg_2(A, B)=k3_tarski(k10_xtuple_0(u3_msualg_1(A, B)))) ) ) ) ).
fof(t3_pralg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (k3_msualg_1(A, C, B)=k4_card_3(k3_relat_1(k1_msualg_1(A, C), u3_msualg_1(A, B))) &  (k9_xtuple_0(k3_relat_1(k1_msualg_1(A, C), u3_msualg_1(A, B)))=k9_xtuple_0(k1_msualg_1(A, C)) & k4_msualg_1(A, C, B)=k1_funct_1(u3_msualg_1(A, B), k2_msualg_1(A, C))) ) ) ) ) ) ) ) ).
fof(t4_pralg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (k1_msualg_1(A, C)=k1_xboole_0 => k3_msualg_1(A, C, B)=k1_tarski(k1_xboole_0)) ) ) ) ) ) ) ).
fof(d8_pralg_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  => k8_pralg_2(A, B, C)=g3_msualg_1(A, k6_pboole(u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)), k4_pralg_2(u1_struct_0(A), u4_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C), u1_msualg_1(A), u2_msualg_1(A), u4_msualg_1(A, B), u4_msualg_1(A, C)))) ) ) ) ) ) ).
fof(d9_pralg_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_pralg_2(D, A, B) =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) )  =>  ( ( ~ (A=k1_xboole_0)  =>  (E=k9_pralg_2(A, B, C, D) <=>  (! [F] :  ~ ( (r2_tarski(F, A) &  (! [G] :  (l3_msualg_1(G, B) =>  ~ ( (G=k1_funct_1(D, F) & k1_funct_1(E, F)=k1_funct_1(u3_msualg_1(B, G), C)) ) ) ) ) ) ) ) )  &  (A=k1_xboole_0 =>  (E=k9_pralg_2(A, B, C, D) <=> E=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_pralg_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  (m1_pralg_2(C, A, B) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) & v1_partfun1(D, u1_struct_0(B))) ) )  =>  (D=k10_pralg_2(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => k1_funct_1(D, E)=k4_card_3(k9_pralg_2(A, B, E, C))) ) ) ) ) ) ) ) ) ) ).
fof(d11_pralg_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  (m1_pralg_2(C, A, B) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) & v1_funcop_1(D)) ) ) )  =>  ( ( ~ (A=k1_xboole_0)  =>  (D=k11_pralg_2(A, B, C) <=>  (! [E] :  ~ ( (r2_tarski(E, A) &  (! [F] :  (l3_msualg_1(F, B) =>  ~ ( (F=k1_funct_1(C, E) & k1_funct_1(D, E)=u4_msualg_1(B, F)) ) ) ) ) ) ) ) )  &  (A=k1_xboole_0 =>  (D=k11_pralg_2(A, B, C) <=> D=k1_xboole_0) ) ) ) ) ) ) ) ) ) ).
fof(t5_pralg_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  (m1_pralg_2(C, A, B) => k9_xtuple_0(k2_funct_5(k11_pralg_2(A, B, C)))=k2_zfmisc_1(A, u4_struct_0(B))) ) ) ) ) ).
fof(t6_pralg_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_pralg_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(B)) => r2_tarski(k9_funct_6(k11_pralg_2(A, B, C)), k1_funct_2(u4_struct_0(B), k1_funct_2(A, k10_xtuple_0(k2_funct_5(k11_pralg_2(A, B, C))))))) ) ) ) ) ) ) ) ).
fof(d12_pralg_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_pralg_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(B)) => k12_pralg_2(A, B, C, D)=k1_funct_1(k9_funct_6(k11_pralg_2(A, B, C)), D)) ) ) ) ) ) ) ).
fof(t7_pralg_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  & l1_msualg_1(C)) )  =>  (! [D] :  (m1_pralg_2(D, A, C) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(C)) => k1_funct_1(k12_pralg_2(A, C, D, E), B)=k5_msualg_1(C, E, k5_pralg_2(A, C, D, B))) ) ) ) ) ) ) ) ) ) ).
fof(t8_pralg_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_pralg_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(B)) =>  (! [E] :  (r2_tarski(E, k10_xtuple_0(k2_pralg_2(k12_pralg_2(A, B, C, D)))) =>  (v1_relat_1(E) & v1_funct_1(E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_pralg_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_pralg_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(B)) =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (r2_tarski(E, k10_xtuple_0(k2_pralg_2(k12_pralg_2(A, B, C, D)))) =>  (k9_xtuple_0(E)=A &  (! [F] :  (m1_subset_1(F, A) => r2_tarski(k1_funct_1(E, F), k4_msualg_1(B, D, k5_pralg_2(A, B, C, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_pralg_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_pralg_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(B)) =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (r2_tarski(E, k9_xtuple_0(k2_pralg_2(k12_pralg_2(A, B, C, D)))) =>  (k9_xtuple_0(E)=A &  ( (! [F] :  (m1_subset_1(F, A) => r2_tarski(k1_funct_1(E, F), k3_msualg_1(B, D, k5_pralg_2(A, B, C, F)))) )  & r1_tarski(k10_xtuple_0(E), k9_funct_2(k9_xtuple_0(k1_msualg_1(B, D)), k7_pralg_2(A, B, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_pralg_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_pralg_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(B)) =>  (k9_xtuple_0(k1_funct_6(k12_pralg_2(A, B, C, D)))=A &  (! [E] :  (m1_subset_1(E, A) => k1_funct_1(k1_funct_6(k12_pralg_2(A, B, C, D)), E)=k3_msualg_1(B, D, k5_pralg_2(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_pralg_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_pralg_2(C, A, B) =>  (! [D] :  (m2_pboole(D, u4_struct_0(B), k3_relat_1(u1_msualg_1(B), k6_finseq_2(u1_struct_0(B), k10_pralg_2(A, B, C))), k3_relat_1(u2_msualg_1(B), k10_pralg_2(A, B, C))) =>  ( ( ~ (A=k1_xboole_0)  =>  (D=k13_pralg_2(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u4_struct_0(B)) => k1_funct_1(D, E)=k15_funcop_1(k1_msualg_1(B, E), k1_xboole_0, k9_funct_6(k12_pralg_2(A, B, C, E)), k1_pralg_2(k2_pralg_2(k12_pralg_2(A, B, C, E))))) ) ) )  &  (A=k1_xboole_0 => D=k13_pralg_2(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(d14_pralg_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_pralg_2(C, A, B) => k14_pralg_2(A, B, C)=g3_msualg_1(B, k10_pralg_2(A, B, C), k13_pralg_2(A, B, C))) ) ) ) ) ).
fof(t12_pralg_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_pralg_2(C, A, B) =>  (r8_pboole(u1_struct_0(B), u3_msualg_1(B, k14_pralg_2(A, B, C)), k10_pralg_2(A, B, C)) & r8_pboole(u4_struct_0(B), u4_msualg_1(B, k14_pralg_2(A, B, C)), k13_pralg_2(A, B, C))) ) ) ) ) ) ).
fof(dt_k1_pralg_2, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k1_pralg_2(A)) & v1_funct_1(k1_pralg_2(A))) ) ) ).
fof(dt_k2_pralg_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (v1_relat_1(k2_pralg_2(A)) &  (v4_relat_1(k2_pralg_2(A), k4_card_3(k1_funct_6(A))) &  (v1_funct_1(k2_pralg_2(A)) &  (v1_partfun1(k2_pralg_2(A), k4_card_3(k1_funct_6(A))) & v1_funcop_1(k2_pralg_2(A))) ) ) ) ) ) ).
fof(redefinition_k2_pralg_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  => k2_pralg_2(A)=k6_funct_6(A)) ) ).
fof(dt_k3_pralg_2, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  &  (m1_subset_1(D, k3_finseq_2(A)) &  (m1_subset_1(E, A) &  ( (v1_funct_1(F) &  (v1_funct_2(F, k1_funct_1(k6_finseq_2(A, B), D), k1_funct_1(B, E)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k6_finseq_2(A, B), D), k1_funct_1(B, E))))) )  &  (v1_funct_1(G) &  (v1_funct_2(G, k1_funct_1(k6_finseq_2(A, C), D), k1_funct_1(C, E)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k6_finseq_2(A, C), D), k1_funct_1(C, E))))) ) ) ) ) ) ) )  =>  (v1_funct_1(k3_pralg_2(A, B, C, D, E, F, G)) &  (v1_funct_2(k3_pralg_2(A, B, C, D, E, F, G), k1_funct_1(k6_finseq_2(A, k6_pboole(A, B, C)), D), k1_funct_1(k6_pboole(A, B, C), E)) & m1_subset_1(k3_pralg_2(A, B, C, D, E, F, G), k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k6_finseq_2(A, k6_pboole(A, B, C)), D), k1_funct_1(k6_pboole(A, B, C), E))))) ) ) ) ).
fof(dt_k4_pralg_2, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  &  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) ) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, B, k3_finseq_2(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k3_finseq_2(A))))) )  &  ( (v1_funct_1(F) &  (v1_funct_2(F, B, A) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  (m2_pboole(G, B, k3_relat_1(E, k6_finseq_2(A, C)), k3_relat_1(F, C)) & m2_pboole(H, B, k3_relat_1(E, k6_finseq_2(A, D)), k3_relat_1(F, D))) ) ) ) ) )  => m2_pboole(k4_pralg_2(A, B, C, D, E, F, G, H), B, k3_relat_1(E, k6_finseq_2(A, k6_pboole(A, C, D))), k3_relat_1(F, k6_pboole(A, C, D)))) ) ).
fof(dt_m1_pralg_2, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  (m1_pralg_2(C, A, B) =>  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) ) ) ) ) ).
fof(existence_m1_pralg_2, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (? [C] : m1_pralg_2(C, A, B)) ) ) ).
fof(dt_k5_pralg_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  &  (m1_pralg_2(C, A, B) & m1_subset_1(D, A)) ) )  =>  (v4_msualg_1(k5_pralg_2(A, B, C, D), B) & l3_msualg_1(k5_pralg_2(A, B, C, D), B)) ) ) ).
fof(redefinition_k5_pralg_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  &  (m1_pralg_2(C, A, B) & m1_subset_1(D, A)) ) )  => k5_pralg_2(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(dt_k8_pralg_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  (v4_msualg_1(C, A) & l3_msualg_1(C, A)) ) )  => l3_msualg_1(k8_pralg_2(A, B, C), A)) ) ).
fof(dt_k9_pralg_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  &  (m1_subset_1(C, u1_struct_0(B)) & m1_pralg_2(D, A, B)) )  =>  (v1_relat_1(k9_pralg_2(A, B, C, D)) &  (v4_relat_1(k9_pralg_2(A, B, C, D), A) &  (v1_funct_1(k9_pralg_2(A, B, C, D)) & v1_partfun1(k9_pralg_2(A, B, C, D), A)) ) ) ) ) ).
fof(dt_k10_pralg_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  & m1_pralg_2(C, A, B))  =>  (v1_relat_1(k10_pralg_2(A, B, C)) &  (v4_relat_1(k10_pralg_2(A, B, C), u1_struct_0(B)) &  (v1_funct_1(k10_pralg_2(A, B, C)) & v1_partfun1(k10_pralg_2(A, B, C), u1_struct_0(B))) ) ) ) ) ).
fof(dt_k11_pralg_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  & m1_pralg_2(C, A, B))  =>  (v1_relat_1(k11_pralg_2(A, B, C)) &  (v4_relat_1(k11_pralg_2(A, B, C), A) &  (v1_funct_1(k11_pralg_2(A, B, C)) &  (v1_partfun1(k11_pralg_2(A, B, C), A) & v1_funcop_1(k11_pralg_2(A, B, C))) ) ) ) ) ) ).
fof(dt_k12_pralg_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  &  (m1_pralg_2(C, A, B) & m1_subset_1(D, u4_struct_0(B))) )  =>  (v1_relat_1(k12_pralg_2(A, B, C, D)) &  (v4_relat_1(k12_pralg_2(A, B, C, D), A) &  (v1_funct_1(k12_pralg_2(A, B, C, D)) &  (v1_partfun1(k12_pralg_2(A, B, C, D), A) & v1_funcop_1(k12_pralg_2(A, B, C, D))) ) ) ) ) ) ).
fof(dt_k13_pralg_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  & m1_pralg_2(C, A, B))  => m2_pboole(k13_pralg_2(A, B, C), u4_struct_0(B), k3_relat_1(u1_msualg_1(B), k6_finseq_2(u1_struct_0(B), k10_pralg_2(A, B, C))), k3_relat_1(u2_msualg_1(B), k10_pralg_2(A, B, C)))) ) ).
fof(dt_k14_pralg_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  & m1_pralg_2(C, A, B))  => l3_msualg_1(k14_pralg_2(A, B, C), B)) ) ).
fof(d7_pralg_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_msualg_1(B))  =>  (! [C] :  (m1_pralg_2(C, A, B) => k7_pralg_2(A, B, C)=k3_tarski(a_3_0_pralg_2(A, B, C))) ) ) ) ) ) ).
fof(fraenkel_a_3_0_pralg_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v2_struct_0(C))  & l1_msualg_1(C))  & m1_pralg_2(D, B, C)) )  =>  (r2_hidden(A, a_3_0_pralg_2(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, B) & A=k6_pralg_2(C, k5_pralg_2(B, C, D, E))) ) ) ) ) ).
fof(fc1_pralg_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  & m1_pralg_2(C, A, B))  => v4_msualg_1(k14_pralg_2(A, B, C), B)) ) ).
fof(fc2_pralg_3, axiom,  (! [A] :  (v1_setfam_1(A) =>  (v1_relat_1(k4_relat_1(A)) & v2_relat_1(k4_relat_1(A))) ) ) ).
fof(fc3_pralg_3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, u4_struct_0(A)) & m1_pralg_2(D, B, A)) ) )  =>  (v1_relat_1(k1_pralg_3(A, k14_pralg_2(B, A, D), C)) & v1_funct_1(k1_pralg_3(A, k14_pralg_2(B, A, D), C))) ) ) ).
fof(t1_pralg_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (r2_tarski(A, k4_card_3(B)) => r2_tarski(k5_relat_1(A, C), k4_card_3(k5_relat_1(B, C)))) ) ) ) ) ) ).
fof(t2_pralg_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_pralg_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(A)))  =>  (! [F] :  (m1_pralg_2(F, E, B) =>  (k5_relat_1(C, E)=F => k9_pralg_2(E, B, D, F)=k5_relat_1(k9_pralg_2(A, B, D, C), E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_pralg_3, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v3_relat_2(C) &  (v8_relat_2(C) &  (v1_partfun1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) )  =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(B), k8_eqrel_1(B, C)) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(B), k8_eqrel_1(B, C)) =>  ( (r2_tarski(A, D) & r2_tarski(A, E))  => D=E) ) ) ) ) ) ) ) ) ) ).
fof(t4_pralg_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_funcop_1(B)) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v4_funct_1(C) & v2_card_3(C)) )  =>  (C=k10_xtuple_0(B) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (r2_tarski(E, k9_card_3(C)) => k1_funct_1(k1_funct_1(B, D), E)=k1_funct_1(k1_funct_1(k9_funct_6(B), E), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_pralg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) => k1_pralg_3(A, B, C)=k1_funct_1(k5_msualg_1(A, C, B), k1_xboole_0)) ) ) ) ) ) ).
fof(t5_pralg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(A)) =>  (k1_msualg_1(A, C)=k1_xboole_0 =>  (k4_msualg_1(A, C, B)=k1_xboole_0 | r2_tarski(k1_pralg_3(A, B, C), k4_msualg_1(A, C, B))) ) ) ) ) ) ) ) ).
fof(t9_pralg_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_pralg_2(D, A, B) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(B)) =>  (k1_msualg_1(B, E)=k1_xboole_0 => k1_funct_1(k1_pralg_3(B, k14_pralg_2(A, B, D), E), C)=k1_pralg_3(B, k5_pralg_2(A, B, D, C), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_pralg_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_pralg_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(B)) =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  ( (k1_msualg_1(B, D)=k1_xboole_0 &  (k9_xtuple_0(E)=A &  (! [F] :  (m1_subset_1(F, A) => k1_funct_1(E, F)=k1_pralg_3(B, k5_pralg_2(A, B, C, F), D)) ) ) )  => E=k1_pralg_3(B, k14_pralg_2(A, B, C), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_pralg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (l3_msualg_1(C, A) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k3_msualg_1(A, D, B)) =>  ( (E=k1_xboole_0 & k1_msualg_1(A, D)=k1_xboole_0)  =>  (k3_msualg_1(A, D, B)=k1_xboole_0 |  (k3_msualg_1(A, D, C)=k1_xboole_0 |  (! [F] :  (m2_pboole(F, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) => k5_msualg_3(A, B, C, D, F, E)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_pralg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  ( (v4_msualg_1(D, A) & l3_msualg_1(D, A))  =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D)) =>  (! [F] :  (m1_subset_1(F, k3_msualg_1(A, B, C)) => r2_tarski(F, k4_card_3(k1_funct_6(k3_relat_1(k1_msualg_1(A, B), E))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_pralg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(A)) =>  (! [C] :  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  =>  (! [D] :  ( (v4_msualg_1(D, A) & l3_msualg_1(D, A))  =>  (! [E] :  (m2_pboole(E, u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D)) =>  (! [F] :  (m1_subset_1(F, k3_msualg_1(A, B, C)) =>  (! [G] :  (r2_tarski(G, k1_relset_1(k4_ordinal1, k1_msualg_1(A, B))) => k1_funct_1(k5_msualg_3(A, C, D, B, E, F), G)=k1_funct_1(k1_msualg_3(u1_struct_0(A), u3_msualg_1(A, C), u3_msualg_1(A, D), E, k7_partfun1(u1_struct_0(A), k1_msualg_1(A, B), G)), k1_funct_1(F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_pralg_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_pralg_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, k3_msualg_1(B, D, k14_pralg_2(A, B, C))) =>  (! [F] :  (r2_tarski(F, k1_relset_1(k4_ordinal1, k1_msualg_1(B, D))) => r2_tarski(k1_funct_1(E, F), k4_card_3(k9_pralg_2(A, B, k7_partfun1(u1_struct_0(B), k1_msualg_1(B, D), F), C)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_pralg_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_pralg_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (r2_tarski(F, k1_relset_1(k4_ordinal1, k1_msualg_1(B, D))) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (G=k1_funct_1(k1_msualg_1(B, D), F) =>  (! [H] :  (m1_subset_1(H, k3_msualg_1(B, D, k14_pralg_2(A, B, C))) =>  (! [I] :  ( (v1_relat_1(I) & v1_funct_1(I))  =>  (I=k1_funct_1(H, F) => r2_tarski(k1_funct_1(I, E), k1_funct_1(u3_msualg_1(B, k5_pralg_2(A, B, C, E)), G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_pralg_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_pralg_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, k3_msualg_1(B, D, k14_pralg_2(A, B, C))) =>  ( ~ (k1_msualg_1(B, D)=k1_xboole_0)  => r2_tarski(k9_funct_6(E), k4_card_3(k1_funct_6(k12_pralg_2(A, B, C, D))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_pralg_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_pralg_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, k3_msualg_1(B, D, k14_pralg_2(A, B, C))) =>  ( ~ (k1_msualg_1(B, D)=k1_xboole_0)  => r2_tarski(E, k9_xtuple_0(k1_pralg_2(k2_pralg_2(k12_pralg_2(A, B, C, D)))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_pralg_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_pralg_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, k3_msualg_1(B, D, k14_pralg_2(A, B, C))) => r2_tarski(k3_funct_2(k3_msualg_1(B, D, k14_pralg_2(A, B, C)), k4_msualg_1(B, D, k14_pralg_2(A, B, C)), k5_msualg_1(B, D, k14_pralg_2(A, B, C)), E), k4_card_3(k9_pralg_2(A, B, k2_msualg_1(B, D), C)))) ) ) ) ) ) ) ) ) ).
fof(t20_pralg_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_pralg_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(B)) =>  ( ~ (k1_msualg_1(B, E)=k1_xboole_0)  =>  (! [F] :  ( (v4_msualg_1(F, B) & l3_msualg_1(F, B))  =>  (! [G] :  (m1_subset_1(G, k3_msualg_1(B, E, k14_pralg_2(A, B, C))) => m1_subset_1(k1_funct_1(k9_funct_6(G), D), k3_msualg_1(B, E, k5_pralg_2(A, B, C, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_pralg_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_pralg_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, u4_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, k3_msualg_1(B, E, k14_pralg_2(A, B, C))) =>  (! [G] :  (r2_tarski(G, k1_relset_1(k4_ordinal1, k1_msualg_1(B, E))) =>  (! [H] :  ( (v1_relat_1(H) & v1_funct_1(H))  =>  (H=k1_funct_1(F, G) => k1_funct_1(k1_funct_1(k9_funct_6(F), D), G)=k1_funct_1(H, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_pralg_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_pralg_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(B)) =>  ( ~ (k1_msualg_1(B, D)=k1_xboole_0)  =>  (! [E] :  (m1_subset_1(E, k3_msualg_1(B, D, k14_pralg_2(A, B, C))) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  ( (v1_relat_1(G) & v1_funct_1(G))  =>  (G=k3_funct_2(k3_msualg_1(B, D, k14_pralg_2(A, B, C)), k4_msualg_1(B, D, k14_pralg_2(A, B, C)), k5_msualg_1(B, D, k14_pralg_2(A, B, C)), E) => k1_funct_1(G, F)=k1_funct_1(k5_msualg_1(B, D, k5_pralg_2(A, B, C, F)), k1_funct_1(k9_funct_6(E), F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_pralg_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_pralg_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m2_pboole(E, u1_struct_0(B), u3_msualg_1(B, k14_pralg_2(A, B, C)), u3_msualg_1(B, k5_pralg_2(A, B, C, D))) =>  (E=k2_pralg_3(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) => k1_msualg_3(u1_struct_0(B), u3_msualg_1(B, k14_pralg_2(A, B, C)), u3_msualg_1(B, k5_pralg_2(A, B, C, D)), E, F)=k12_card_3(k9_pralg_2(A, B, F, C), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_pralg_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_pralg_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, k3_msualg_1(B, D, k14_pralg_2(A, B, C))) =>  ( ~ (k1_msualg_1(B, D)=k1_xboole_0)  =>  (! [F] :  (m1_subset_1(F, A) => k5_msualg_3(B, k14_pralg_2(A, B, C), k5_pralg_2(A, B, C, F), D, k2_pralg_3(A, B, C, F), E)=k1_funct_1(k9_funct_6(E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_pralg_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_pralg_2(D, A, B) => r1_msualg_3(B, k14_pralg_2(A, B, D), k5_pralg_2(A, B, D, C), k2_pralg_3(A, B, D, C))) ) ) ) ) ) ) ) ).
fof(t27_pralg_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_pralg_2(D, A, B) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  ( (v4_msualg_1(F, B) & l3_msualg_1(F, B))  =>  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, A) &  (v1_funct_1(G) &  (v1_partfun1(G, A) & v1_funcop_1(G)) ) ) )  =>  ( (! [H] :  (m1_subset_1(H, A) =>  (? [I] :  (m2_pboole(I, u1_struct_0(B), u3_msualg_1(B, F), u3_msualg_1(B, k5_pralg_2(A, B, D, H))) &  (I=k1_funct_1(G, H) & r1_msualg_3(B, F, k5_pralg_2(A, B, D, H), I)) ) ) ) )  =>  (! [H] :  (m2_pboole(H, u1_struct_0(B), u3_msualg_1(B, F), u3_msualg_1(B, k5_pralg_2(A, B, D, C))) =>  (H=k1_funct_1(G, C) =>  (! [I] :  (r2_tarski(I, k1_funct_1(u3_msualg_1(B, F), E)) =>  (! [J] :  ( (v1_relat_1(J) & v1_funct_1(J))  =>  (J=k1_funct_1(k9_funct_6(k1_funct_1(k9_funct_6(G), E)), I) => k1_funct_1(J, C)=k1_funct_1(k1_msualg_3(u1_struct_0(B), u3_msualg_1(B, F), u3_msualg_1(B, k5_pralg_2(A, B, D, C)), H, E), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_pralg_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_pralg_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v4_msualg_1(E, B) & l3_msualg_1(E, B))  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) &  (v1_partfun1(F, A) & v1_funcop_1(F)) ) ) )  =>  ( (! [G] :  (m1_subset_1(G, A) =>  (? [H] :  (m2_pboole(H, u1_struct_0(B), u3_msualg_1(B, E), u3_msualg_1(B, k5_pralg_2(A, B, C, G))) &  (H=k1_funct_1(F, G) & r1_msualg_3(B, E, k5_pralg_2(A, B, C, G), H)) ) ) ) )  =>  (! [G] :  (r2_tarski(G, k1_funct_1(u3_msualg_1(B, E), D)) => r2_tarski(k1_funct_1(k9_funct_6(k1_funct_1(k9_funct_6(F), D)), G), k4_card_3(k9_pralg_2(A, B, D, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_pralg_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_pralg_2(C, A, B) =>  (! [D] :  ( (v4_msualg_1(D, B) & l3_msualg_1(D, B))  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) &  (v1_partfun1(E, A) & v1_funcop_1(E)) ) ) )  =>  ~ ( ( (! [F] :  (m1_subset_1(F, A) =>  (? [G] :  (m2_pboole(G, u1_struct_0(B), u3_msualg_1(B, D), u3_msualg_1(B, k5_pralg_2(A, B, C, F))) &  (G=k1_funct_1(E, F) & r1_msualg_3(B, D, k5_pralg_2(A, B, C, F), G)) ) ) ) )  &  (! [F] :  (m2_pboole(F, u1_struct_0(B), u3_msualg_1(B, D), u3_msualg_1(B, k14_pralg_2(A, B, C))) =>  ~ ( (r1_msualg_3(B, D, k14_pralg_2(A, B, C), F) &  (! [G] :  (m1_subset_1(G, A) => k3_msualg_3(u1_struct_0(B), u3_msualg_1(B, D), u3_msualg_1(B, k14_pralg_2(A, B, C)), u3_msualg_1(B, k5_pralg_2(A, B, C, G)), F, k2_pralg_3(A, B, C, G))=k1_funct_1(E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_pralg_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  & l1_msualg_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (m1_pralg_3(D, A, B, C) <=>  (! [E] :  (r2_tarski(E, A) => m1_pralg_2(k1_funct_1(D, E), k1_funct_1(B, E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_pralg_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_pralg_2(C, A, B) =>  (! [D] :  ( (v3_relat_2(D) &  (v8_relat_2(D) &  (v1_partfun1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [E] :  (m1_pralg_3(E, k8_eqrel_1(A, D), k6_partfun1(k8_eqrel_1(A, D)), B) =>  (E=k3_pralg_3(A, B, C, D) <=>  (! [F] :  (r2_tarski(F, k8_eqrel_1(A, D)) => k1_funct_1(E, F)=k5_relat_1(C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_pralg_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  (m1_pralg_3(D, A, C, B) =>  (! [E] :  (m1_pralg_2(E, A, B) =>  (E=k4_pralg_3(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, A) =>  ~ ( (r2_tarski(F, A) &  (! [G] :  ( ~ (v1_xboole_0(G))  =>  (! [H] :  (m1_pralg_2(H, G, B) =>  ~ ( (G=k1_funct_1(C, F) &  (H=k1_funct_1(D, F) & k5_pralg_2(A, B, E, F)=k14_pralg_2(G, B, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_pralg_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_pralg_2(C, A, B) =>  (! [D] :  ( (v3_relat_2(D) &  (v8_relat_2(D) &  (v1_partfun1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  => r6_msualg_3(B, k14_pralg_2(A, B, C), k14_pralg_2(k8_eqrel_1(A, D), B, k4_pralg_3(k8_eqrel_1(A, D), B, k6_partfun1(k8_eqrel_1(A, D)), k3_pralg_3(A, B, C, D))))) ) ) ) ) ) ) ) ).
fof(dt_k2_pralg_3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  &  (m1_pralg_2(C, A, B) & m1_subset_1(D, A)) ) )  => m2_pboole(k2_pralg_3(A, B, C, D), u1_struct_0(B), u3_msualg_1(B, k14_pralg_2(A, B, C)), u3_msualg_1(B, k5_pralg_2(A, B, C, D)))) ) ).
fof(dt_m1_pralg_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  & l1_msualg_1(C)) ) ) )  =>  (! [D] :  (m1_pralg_3(D, A, B, C) =>  (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) ) ) ) ) ) ).
fof(existence_m1_pralg_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  & l1_msualg_1(C)) ) ) )  =>  (? [D] : m1_pralg_3(D, A, B, C)) ) ) ).
fof(dt_k3_pralg_3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  &  (m1_pralg_2(C, A, B) &  (v3_relat_2(D) &  (v8_relat_2(D) &  (v1_partfun1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) )  => m1_pralg_3(k3_pralg_3(A, B, C, D), k8_eqrel_1(A, D), k6_partfun1(k8_eqrel_1(A, D)), B)) ) ).
fof(dt_k4_pralg_3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  & m1_pralg_3(D, A, C, B)) ) )  => m1_pralg_2(k4_pralg_3(A, B, C, D), A, B)) ) ).
fof(t6_pralg_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (l3_msualg_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (k1_funct_1(u3_msualg_1(A, B), C)=k1_xboole_0)  => k1_msualg_2(A, B, C)=a_3_0_pralg_3(A, B, C)) ) ) ) ) ) ) ).
fof(t7_pralg_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_pralg_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(B)) =>  (k1_msualg_1(B, D)=k1_xboole_0 => r2_tarski(k1_funct_1(k9_funct_6(k11_pralg_2(A, B, C)), D), k1_funct_2(A, k1_funct_2(k1_tarski(k1_xboole_0), k3_tarski(a_4_0_pralg_3(A, B, C, D)))))) ) ) ) ) ) ) ) ) ).
fof(t8_pralg_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_pralg_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(B)) =>  (k1_msualg_1(B, D)=k1_xboole_0 => r2_tarski(k1_pralg_3(B, k14_pralg_2(A, B, C), D), k1_funct_2(A, k3_tarski(a_4_0_pralg_3(A, B, C, D))))) ) ) ) ) ) ) ) ) ).
fof(t14_pralg_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_pralg_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u4_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, k3_msualg_1(B, D, k14_pralg_2(A, B, C))) => r2_tarski(E, k1_funct_2(k1_relset_1(k4_ordinal1, k1_msualg_1(B, D)), k1_funct_2(A, k3_tarski(a_3_1_pralg_3(A, B, C)))))) ) ) ) ) ) ) ) ) ) ).
fof(t25_pralg_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_pralg_2(D, A, B) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  ( (v4_msualg_1(F, B) & l3_msualg_1(F, B))  =>  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, A) &  (v1_funct_1(G) &  (v1_partfun1(G, A) & v1_funcop_1(G)) ) ) )  =>  ( (! [H] :  (m1_subset_1(H, A) =>  (? [I] :  (m2_pboole(I, u1_struct_0(B), u3_msualg_1(B, F), u3_msualg_1(B, k5_pralg_2(A, B, D, H))) &  (I=k1_funct_1(G, H) & r1_msualg_3(B, F, k5_pralg_2(A, B, D, H), I)) ) ) ) )  =>  (r2_tarski(G, k1_funct_2(A, k1_funct_2(u1_struct_0(B), a_3_2_pralg_3(A, B, G)))) & k1_funct_1(k1_funct_1(k9_funct_6(G), E), C)=k1_funct_1(k1_funct_1(G, C), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_pralg_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (m1_pralg_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v4_msualg_1(E, B) & l3_msualg_1(E, B))  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) &  (v1_partfun1(F, A) & v1_funcop_1(F)) ) ) )  =>  ( (! [G] :  (m1_subset_1(G, A) =>  (? [H] :  (m2_pboole(H, u1_struct_0(B), u3_msualg_1(B, E), u3_msualg_1(B, k5_pralg_2(A, B, C, G))) &  (H=k1_funct_1(F, G) & r1_msualg_3(B, E, k5_pralg_2(A, B, C, G), H)) ) ) ) )  => r2_tarski(k1_funct_1(k9_funct_6(F), D), k1_funct_2(A, k1_funct_2(k1_funct_1(u3_msualg_1(B, E), D), k3_tarski(a_3_1_pralg_3(A, B, C)))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_pralg_3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  &  (l3_msualg_1(C, B) & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_0_pralg_3(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u4_struct_0(B)) &  (A=k1_pralg_3(B, C, E) &  (k2_msualg_1(B, E)=D & k1_msualg_1(B, E)=k1_xboole_0) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_pralg_3, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  & l1_msualg_1(C)) )  &  (m1_pralg_2(D, B, C) & m1_subset_1(E, u4_struct_0(C))) ) )  =>  (r2_hidden(A, a_4_0_pralg_3(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, B) & A=k4_msualg_1(C, E, k5_pralg_2(B, C, D, F))) ) ) ) ) ).
fof(fraenkel_a_3_1_pralg_3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  & l1_msualg_1(C)) )  & m1_pralg_2(D, B, C)) )  =>  (r2_hidden(A, a_3_1_pralg_3(B, C, D)) <=>  (? [E, F] :  ( (m1_subset_1(E, B) & m1_subset_1(F, u1_struct_0(C)))  & A=k1_funct_1(u3_msualg_1(C, k5_pralg_2(B, C, D, E)), F)) ) ) ) ) ).
fof(fraenkel_a_3_2_pralg_3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  & l1_msualg_1(C)) )  &  (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) &  (v1_partfun1(D, B) & v1_funcop_1(D)) ) ) ) ) )  =>  (r2_hidden(A, a_3_2_pralg_3(B, C, D)) <=>  (? [E, F] :  ( (m1_subset_1(E, u1_struct_0(C)) & m1_subset_1(F, B))  & A=k1_funct_1(k1_funct_1(D, F), E)) ) ) ) ) ).
fof(rc1_pre_circ, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v2_finset_1(B)) ) ) ) ) ) ) ).
fof(fc1_pre_circ, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  & m1_subset_1(C, k1_zfmisc_1(A)))  =>  (v1_relat_1(k5_relat_1(B, C)) &  (v4_relat_1(k5_relat_1(B, C), C) &  (v1_funct_1(k5_relat_1(B, C)) & v1_partfun1(k5_relat_1(B, C), C)) ) ) ) ) ).
fof(fc2_pre_circ, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  & m1_subset_1(C, k1_zfmisc_1(A)))  =>  (v1_relat_1(k5_relat_1(B, C)) & v1_partfun1(k5_relat_1(B, C), C)) ) ) ).
fof(fc3_pre_circ, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v2_relat_1(k5_relat_1(A, B))) ) ) ).
fof(cc1_pre_circ, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k5_trees_3(A)) => v1_finset_1(B)) ) ) ) ).
fof(fc4_pre_circ, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v3_trees_2(A)) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  =>  (v1_relat_1(k5_trees_2(A, B)) &  (v1_funct_1(k5_trees_2(A, B)) &  (v1_finset_1(k5_trees_2(A, B)) & v3_trees_2(k5_trees_2(A, B))) ) ) ) ) ).
fof(fc5_pre_circ, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v3_trees_2(A)) ) )  &  (m1_subset_1(B, k9_xtuple_0(A)) &  (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finset_1(C) & v3_trees_2(C)) ) ) ) )  =>  (v1_relat_1(k7_trees_2(A, B, C)) &  (v1_funct_1(k7_trees_2(A, B, C)) &  (v1_finset_1(k7_trees_2(A, B, C)) & v3_trees_2(k7_trees_2(A, B, C))) ) ) ) ) ).
fof(fc6_pre_circ, axiom,  (! [A] :  (v1_relat_1(k1_trees_4(A)) &  (v1_funct_1(k1_trees_4(A)) &  (v1_finset_1(k1_trees_4(A)) & v3_trees_2(k1_trees_4(A))) ) ) ) ).
fof(t2_pre_circ, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => k1_funct_1(k6_finseq_2(A, B), k6_finseq_1(A))=k1_tarski(k1_xboole_0)) ) ) ).
fof(t3_pre_circ, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  ~ (v1_xboole_0(k3_tarski(k10_xtuple_0(B)))) ) ) ) ) ).
fof(t4_pre_circ, axiom,  (! [A] : k2_funct_5(k7_funcop_1(A, k1_xboole_0))=k1_xboole_0) ).
fof(t5_pre_circ, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  (m2_pboole(D, A, k7_funcop_1(A, B), C) => k9_xtuple_0(k9_funct_6(D))=B) ) ) ) ) ) ) ).
fof(t6_pre_circ, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  (m1_subset_1(D, k4_card_3(B)) =>  ( (r1_tarski(k9_xtuple_0(C), k9_xtuple_0(B)) &  (! [E] :  (r2_tarski(E, k9_xtuple_0(C)) => r2_tarski(k1_funct_1(C, E), k1_funct_1(B, E))) ) )  => m1_subset_1(k1_funct_4(D, C), k4_card_3(B))) ) ) ) ) ) ) ) ).
fof(t7_pre_circ, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  (m2_pboole(D, A, k7_funcop_1(A, B), C) =>  (! [E] :  (m1_subset_1(E, B) =>  (? [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) & v1_partfun1(F, A)) ) )  &  (F=k1_funct_1(k9_funct_6(D), E) & r3_pboole(A, F, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_pre_circ, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] : k4_card_3(k2_finseq_2(A, k1_tarski(B)))=k1_tarski(k2_finseq_2(A, B))) ) ) ).
fof(t11_pre_circ, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v1_trees_1(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) & v1_trees_1(B)) )  =>  (! [C] :  (m1_trees_1(C, A) =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  ~ ( (r2_tarski(D, k5_trees_1(A, C, B)) &  (r1_tarski(C, D) &  (! [E] :  (m1_trees_1(E, B) =>  ~ (D=k8_finseq_1(k4_ordinal1, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_pre_circ, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v4_trees_3(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (r2_tarski(k1_nat_1(B, 1), k4_finseq_1(A)) => k4_trees_1(k11_trees_3(A), k12_finseq_1(k4_ordinal1, B))=k1_funct_1(A, k1_nat_1(B, 1))) ) ) ) ) ).
fof(t13_pre_circ, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v6_trees_3(A)) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(k1_nat_1(B, 1), k4_finseq_1(A)) => r2_tarski(k9_finseq_1(B), k11_trees_3(k1_funct_6(A)))) ) ) ) ) ).
fof(t14_pre_circ, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v4_trees_3(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v4_trees_3(B)) ) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (k3_finseq_1(A)=k3_finseq_1(B) &  (r2_tarski(k1_nat_1(C, 1), k4_finseq_1(A)) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(A)) =>  (D=k1_nat_1(C, 1) | k1_funct_1(A, D)=k1_funct_1(B, D)) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & v1_trees_1(D))  =>  (k1_funct_1(B, k1_nat_1(C, 1))=D => k11_trees_3(B)=k5_trees_1(k11_trees_3(A), k12_finseq_1(k4_ordinal1, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(t15_pre_circ, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v3_trees_2(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) & v3_trees_2(B)) ) )  =>  (! [C] :  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) &  (v1_finseq_1(E) & v6_trees_3(E)) ) )  =>  ~ ( (r2_tarski(k12_finseq_1(k4_ordinal1, D), k9_xtuple_0(A)) &  (A=k4_trees_4(C, E) &  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) &  (v1_finseq_1(F) & v6_trees_3(F)) ) )  =>  ~ ( (k7_trees_2(A, k12_finseq_1(k4_ordinal1, D), B)=k4_trees_4(C, F) &  (k3_finseq_1(F)=k3_finseq_1(E) &  (k1_funct_1(F, k1_nat_1(D, 1))=B &  (! [G] :  (v7_ordinal1(G) =>  (r2_tarski(G, k4_finseq_1(E)) =>  (G=k1_nat_1(D, 1) | k1_funct_1(F, G)=k1_funct_1(E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_pre_circ, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v1_trees_1(A)) )  =>  (! [B] :  (m1_trees_1(B, A) =>  ~ ( ( ~ (B=k1_xboole_0)  & r1_xxreal_0(k4_card_1(A), k4_card_1(k4_trees_1(A, B)))) ) ) ) ) ) ).
fof(t17_pre_circ, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v1_trees_1(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) & v1_trees_1(B)) )  =>  (! [C] :  (m1_trees_1(C, A) => k1_nat_1(k4_card_1(k5_trees_1(A, C, B)), k4_card_1(k4_trees_1(A, C)))=k1_nat_1(k4_card_1(A), k4_card_1(B))) ) ) ) ) ) ).
fof(t18_pre_circ, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v3_trees_2(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) & v3_trees_2(B)) ) )  =>  (! [C] :  (m1_trees_1(C, k9_xtuple_0(A)) => k1_nat_1(k4_card_1(k7_trees_2(A, C, B)), k4_card_1(k5_trees_2(A, C)))=k1_nat_1(k4_card_1(A), k4_card_1(B))) ) ) ) ) ) ).
fof(t19_pre_circ, axiom,  (! [A] : k4_card_1(k1_trees_4(A))=1) ).
fof(t20_pre_circ, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  => k6_xcmplx_0(k4_card_1(A), 1)=k7_nat_d(k4_card_1(A), 1)) ) ).
fof(t21_pre_circ, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r3_tarski(k9_xtuple_0(A), k9_xtuple_0(B)) <=> r3_tarski(A, B)) ) ) ) ) ).
fof(t22_pre_circ, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finset_1(B)) )  =>  (r1_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)) => k4_card_1(k1_funct_4(A, B))=k1_nat_1(k4_card_1(A), k4_card_1(B))) ) ) ) ) ).
fof(t24_pre_circ, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (k4_card_1(A)=k1_nat_1(B, 1) &  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  ~ ( (A=k2_xboole_0(D, k1_tarski(C)) & k4_card_1(D)=B) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_pre_circ, axiom,  (! [A] :  (v1_finset_1(A) =>  ~ ( (k4_card_1(A)=1 &  (! [B] :  (m1_subset_1(B, A) =>  ~ (A=k1_tarski(B)) ) ) ) ) ) ) ).
fof(s2_pre_circ, axiom,  (? [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, f1_s2_pre_circ) &  (v1_funct_1(A) & v1_partfun1(A, f1_s2_pre_circ)) ) )  &  (! [B] :  (m1_subset_1(B, f1_s2_pre_circ) =>  (r2_tarski(B, f1_s2_pre_circ) =>  ( (p1_s2_pre_circ(B) => k1_funct_1(A, B)=f2_s2_pre_circ(B))  &  ( ~ (p1_s2_pre_circ(B))  => k1_funct_1(A, B)=f3_s2_pre_circ(B)) ) ) ) ) ) ) ).
fof(s3_pre_circ, axiom,  ( (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, f1_s3_pre_circ) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f1_s3_pre_circ)))) )  &  (k8_nat_1(f1_s3_pre_circ, A, k5_numbers)=f2_s3_pre_circ &  (! [B] :  (v7_ordinal1(B) => k8_nat_1(f1_s3_pre_circ, A, k1_nat_1(B, 1))=f3_s3_pre_circ(B, k8_nat_1(f1_s3_pre_circ, A, B))) ) ) ) )  &  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, f1_s3_pre_circ) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f1_s3_pre_circ)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, f1_s3_pre_circ) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f1_s3_pre_circ)))) )  =>  ( (k8_nat_1(f1_s3_pre_circ, A, k5_numbers)=f2_s3_pre_circ &  ( (! [C] :  (v7_ordinal1(C) => k8_nat_1(f1_s3_pre_circ, A, k1_nat_1(C, 1))=f3_s3_pre_circ(C, k8_nat_1(f1_s3_pre_circ, A, C))) )  &  (k8_nat_1(f1_s3_pre_circ, B, k5_numbers)=f2_s3_pre_circ &  (! [C] :  (v7_ordinal1(C) => k8_nat_1(f1_s3_pre_circ, B, k1_nat_1(C, 1))=f3_s3_pre_circ(C, k8_nat_1(f1_s3_pre_circ, B, C))) ) ) ) )  => r2_funct_2(k4_ordinal1, f1_s3_pre_circ, A, B)) ) ) ) ) ) ).
fof(s4_pre_circ, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s4_pre_circ) =>  (r2_tarski(A, f2_s4_pre_circ) =>  (v1_funct_1(f5_s4_pre_circ(A)) &  (v1_funct_2(f5_s4_pre_circ(A), k1_funct_1(f3_s4_pre_circ, A), k1_funct_1(f4_s4_pre_circ, A)) & m1_subset_1(f5_s4_pre_circ(A), k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(f3_s4_pre_circ, A), k1_funct_1(f4_s4_pre_circ, A))))) ) ) ) )  =>  (? [A] :  (m2_pboole(A, f2_s4_pre_circ, f3_s4_pre_circ, f4_s4_pre_circ) &  (! [B] :  (m1_subset_1(B, f1_s4_pre_circ) =>  (r2_tarski(B, f2_s4_pre_circ) => k1_funct_1(A, B)=f5_s4_pre_circ(B)) ) ) ) ) ) ).
fof(s5_pre_circ, axiom,  (? [A] :  (m1_subset_1(A, f1_s5_pre_circ) &  (! [B] :  (m1_subset_1(B, f1_s5_pre_circ) => r1_xxreal_0(f2_s5_pre_circ(A), f2_s5_pre_circ(B))) ) ) ) ).
fof(dt_f1_s1_pre_circ, axiom,  ( ~ (v1_xboole_0(f1_s1_pre_circ))  & v1_finset_1(f1_s1_pre_circ)) ).
fof(dt_f1_s3_pre_circ, axiom,  ~ (v1_xboole_0(f1_s3_pre_circ)) ).
fof(dt_f2_s3_pre_circ, axiom, m1_subset_1(f2_s3_pre_circ, f1_s3_pre_circ)).
fof(dt_f3_s3_pre_circ, axiom,  (! [A, B] : m1_subset_1(f3_s3_pre_circ(A, B), f1_s3_pre_circ)) ).
fof(dt_f1_s4_pre_circ, axiom,  ~ (v1_xboole_0(f1_s4_pre_circ)) ).
fof(dt_f2_s4_pre_circ, axiom, m1_subset_1(f2_s4_pre_circ, k1_zfmisc_1(f1_s4_pre_circ))).
fof(dt_f3_s4_pre_circ, axiom,  (v1_relat_1(f3_s4_pre_circ) &  (v4_relat_1(f3_s4_pre_circ, f2_s4_pre_circ) &  (v1_funct_1(f3_s4_pre_circ) & v1_partfun1(f3_s4_pre_circ, f2_s4_pre_circ)) ) ) ).
fof(dt_f4_s4_pre_circ, axiom,  (v1_relat_1(f4_s4_pre_circ) &  (v4_relat_1(f4_s4_pre_circ, f2_s4_pre_circ) &  (v1_funct_1(f4_s4_pre_circ) & v1_partfun1(f4_s4_pre_circ, f2_s4_pre_circ)) ) ) ).
fof(dt_f1_s5_pre_circ, axiom,  ( ~ (v1_xboole_0(f1_s5_pre_circ))  & v1_finset_1(f1_s5_pre_circ)) ).
fof(dt_f2_s5_pre_circ, axiom,  (! [A] : v1_xreal_0(f2_s5_pre_circ(A))) ).
fof(t9_pre_circ, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v1_trees_1(A)) )  =>  (! [B] :  (m1_trees_1(B, A) => r3_tarski(k4_trees_1(A, B), a_2_0_pre_circ(A, B))) ) ) ) ).
fof(t10_pre_circ, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v1_trees_1(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) & v1_trees_1(B)) )  =>  (! [C] :  (m1_trees_1(C, A) => k5_trees_1(A, C, B)=k2_xboole_0(a_2_1_pre_circ(A, C), a_3_0_pre_circ(A, B, C))) ) ) ) ) ) ).
fof(t23_pre_circ, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ (v1_finset_1(a_1_0_pre_circ(A))) ) ) ).
fof(s1_pre_circ, axiom, v1_finset_1(a_0_0_pre_circ)).
fof(fraenkel_a_2_0_pre_circ, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) & v1_trees_1(B)) )  & m1_trees_1(C, B))  =>  (r2_hidden(A, a_2_0_pre_circ(B, C)) <=>  (? [D] :  (m1_trees_1(D, B) &  (A=D & r1_tarski(C, D)) ) ) ) ) ) ).
fof(fraenkel_a_2_1_pre_circ, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) & v1_trees_1(B)) )  & m1_trees_1(C, B))  =>  (r2_hidden(A, a_2_1_pre_circ(B, C)) <=>  (? [D] :  (m1_trees_1(D, B) &  (A=D &  ~ (r1_tarski(C, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_pre_circ, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) & v1_trees_1(B)) )  &  ( ( ~ (v1_xboole_0(C))  &  (v1_finset_1(C) & v1_trees_1(C)) )  & m1_trees_1(D, B)) )  =>  (r2_hidden(A, a_3_0_pre_circ(B, C, D)) <=>  (? [E] :  (m1_trees_1(E, C) & A=k8_finseq_1(k4_ordinal1, D, E)) ) ) ) ) ).
fof(fraenkel_a_1_0_pre_circ, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_0_pre_circ(B)) <=>  (? [C] :  (v7_ordinal1(C) &  (A=C &  ~ (r1_xxreal_0(C, B)) ) ) ) ) ) ) ).
fof(fraenkel_a_0_0_pre_circ, axiom,  (! [A] :  (r2_hidden(A, a_0_0_pre_circ) <=>  (? [B] :  (m1_subset_1(B, f1_s1_pre_circ) &  (A=f2_s1_pre_circ(B) & p1_s1_pre_circ(B)) ) ) ) ) ).
fof(rd1_pre_ff, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => k10_subset_1(k4_tarski(A, B), k2_zfmisc_1(k4_ordinal1, k4_ordinal1))=k4_tarski(A, B)) ) ).
fof(d1_pre_ff, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (B=k1_pre_ff(A) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_zfmisc_1(k4_ordinal1, k4_ordinal1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_zfmisc_1(k4_ordinal1, k4_ordinal1))))) )  &  (B=k2_domain_1(k4_ordinal1, k4_ordinal1, k8_nat_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), C, A)) &  (k8_nat_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), C, k5_numbers)=k1_domain_1(k4_ordinal1, k4_ordinal1, k5_numbers, 1) &  (! [D] :  (v7_ordinal1(D) => k8_nat_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), C, k1_nat_1(D, 1))=k1_domain_1(k4_ordinal1, k4_ordinal1, k3_domain_1(k4_ordinal1, k4_ordinal1, k8_nat_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), C, D)), k1_nat_1(k2_domain_1(k4_ordinal1, k4_ordinal1, k8_nat_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), C, D)), k3_domain_1(k4_ordinal1, k4_ordinal1, k8_nat_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), C, D))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_pre_ff, axiom,  (k1_pre_ff(k5_numbers)=k5_numbers &  (k1_pre_ff(1)=1 &  (! [A] :  (v7_ordinal1(A) => k1_pre_ff(k1_nat_1(k1_nat_1(A, 1), 1))=k1_nat_1(k1_pre_ff(A), k1_pre_ff(k1_nat_1(A, 1)))) ) ) ) ).
fof(t2_pre_ff, axiom,  (! [A] :  (v1_int_1(A) => k4_int_1(A, 1)=A) ) ).
fof(t3_pre_ff, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  (k4_int_1(A, B)=k5_numbers & r1_xxreal_0(B, A)) ) ) ) ) ) ) ).
fof(t4_pre_ff, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (r1_xxreal_0(k5_numbers, A) =>  (r1_xxreal_0(B, A) | k4_int_1(A, B)=k5_numbers) ) ) ) ) ) ).
fof(t5_pre_ff, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  => k4_int_1(k4_int_1(A, B), C)=k4_int_1(A, k3_xcmplx_0(B, C))) ) ) ) ) ) ) ).
fof(t6_pre_ff, axiom,  (! [A] :  (v1_int_1(A) =>  (k5_int_1(A, 2)=k5_numbers | k5_int_1(A, 2)=1) ) ) ).
fof(t7_pre_ff, axiom,  (! [A] :  (v1_int_1(A) =>  (m1_subset_1(A, k4_ordinal1) => m1_subset_1(k4_int_1(A, 2), k4_ordinal1)) ) ) ).
fof(t8_pre_ff, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_xxreal_0(A, B) & r1_xxreal_0(1, C))  => r1_xxreal_0(k2_power(C, A), k2_power(C, B))) ) ) ) ) ) ) ).
fof(t9_pre_ff, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(B, A) => r1_xxreal_0(k1_int_1(B), k1_int_1(A))) ) ) ) ) ).
fof(t10_pre_ff, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (r1_xxreal_0(B, C) =>  (r1_xxreal_0(A, 1) |  (r1_xxreal_0(B, k5_numbers) | r1_xxreal_0(k3_power(A, B), k3_power(A, C))) ) ) ) ) ) ) ) ) ).
fof(t11_pre_ff, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  & k2_xcmplx_0(k1_int_1(k3_power(2, k3_xcmplx_0(2, A))), 1)=k1_int_1(k3_power(2, k1_nat_1(k3_xcmplx_0(2, A), 1)))) ) ) ) ).
fof(t12_pre_ff, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => r1_xxreal_0(k1_int_1(k3_power(2, k1_nat_1(k3_xcmplx_0(2, A), 1))), k2_xcmplx_0(k1_int_1(k3_power(2, k3_xcmplx_0(2, A))), 1))) ) ) ).
fof(t13_pre_ff, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k1_int_1(k3_power(2, k3_xcmplx_0(2, A)))=k1_int_1(k3_power(2, k1_nat_1(k3_xcmplx_0(2, A), 1)))) ) ) ).
fof(t14_pre_ff, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k2_xcmplx_0(k1_int_1(k3_power(2, A)), 1)=k1_int_1(k3_power(2, k1_nat_1(k3_xcmplx_0(2, A), 1)))) ) ) ).
fof(d2_pre_ff, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ( (A=k5_numbers =>  (B=k2_pre_ff(A) <=> B=k5_numbers) )  &  ( ~ (A=k5_numbers)  =>  (B=k2_pre_ff(A) <=>  (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k3_finseq_2(k4_ordinal1)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k3_finseq_2(k4_ordinal1))))) )  &  (k1_nat_1(C, 1)=A &  (B=k7_partfun1(k4_ordinal1, k8_finseq_2(k4_ordinal1, k3_finseq_2(k4_ordinal1), D, C), A) &  (k8_finseq_2(k4_ordinal1, k3_finseq_2(k4_ordinal1), D, k5_numbers)=k12_finseq_1(k4_ordinal1, 1) &  (! [E] :  (v7_ordinal1(E) =>  ( (! [F] :  (v7_ordinal1(F) =>  (k1_nat_1(E, 2)=k3_xcmplx_0(2, F) => k8_finseq_2(k4_ordinal1, k3_finseq_2(k4_ordinal1), D, k1_nat_1(E, 1))=k8_finseq_1(k4_ordinal1, k8_finseq_2(k4_ordinal1, k3_finseq_2(k4_ordinal1), D, E), k12_finseq_1(k4_ordinal1, k7_partfun1(k4_ordinal1, k8_finseq_2(k4_ordinal1, k3_finseq_2(k4_ordinal1), D, E), F)))) ) )  &  (! [F] :  (v7_ordinal1(F) =>  (k1_nat_1(E, 2)=k1_nat_1(k3_xcmplx_0(2, F), 1) => k8_finseq_2(k4_ordinal1, k3_finseq_2(k4_ordinal1), D, k1_nat_1(E, 1))=k8_finseq_1(k4_ordinal1, k8_finseq_2(k4_ordinal1, k3_finseq_2(k4_ordinal1), D, E), k12_finseq_1(k4_ordinal1, k1_nat_1(k7_partfun1(k4_ordinal1, k8_finseq_2(k4_ordinal1, k3_finseq_2(k4_ordinal1), D, E), F), k7_partfun1(k4_ordinal1, k8_finseq_2(k4_ordinal1, k3_finseq_2(k4_ordinal1), D, E), k1_nat_1(F, 1)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_pre_ff, axiom,  (k2_pre_ff(k5_numbers)=k5_numbers &  (k2_pre_ff(1)=1 &  (! [A] :  (v7_ordinal1(A) =>  (k2_pre_ff(k3_xcmplx_0(2, A))=k2_pre_ff(A) & k2_pre_ff(k1_nat_1(k3_xcmplx_0(2, A), 1))=k1_nat_1(k2_pre_ff(A), k2_pre_ff(k1_nat_1(A, 1)))) ) ) ) ) ).
fof(t16_pre_ff, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( ( ~ (A=k5_numbers)  & r1_xxreal_0(k3_xcmplx_0(2, A), A)) ) ) ) ).
fof(t17_pre_ff, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ (r1_xxreal_0(k1_nat_1(k3_xcmplx_0(2, A), 1), A)) ) ) ).
fof(t18_pre_ff, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => B=k2_xcmplx_0(k3_xcmplx_0(A, k2_pre_ff(k5_numbers)), k3_xcmplx_0(B, k2_pre_ff(1)))) ) ) ) ).
fof(t19_pre_ff, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (k2_pre_ff(D)=k2_xcmplx_0(k3_xcmplx_0(B, k2_pre_ff(k1_nat_1(k3_xcmplx_0(2, A), 1))), k3_xcmplx_0(C, k2_pre_ff(k1_nat_1(k1_nat_1(k3_xcmplx_0(2, A), 1), 1)))) => k2_pre_ff(D)=k2_xcmplx_0(k3_xcmplx_0(B, k2_pre_ff(A)), k3_xcmplx_0(k2_xcmplx_0(C, B), k2_pre_ff(k1_nat_1(A, 1))))) ) ) ) ) ) ) ) ) ).
fof(t20_pre_ff, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (k2_pre_ff(D)=k2_xcmplx_0(k3_xcmplx_0(B, k2_pre_ff(k3_xcmplx_0(2, A))), k3_xcmplx_0(C, k2_pre_ff(k1_nat_1(k3_xcmplx_0(2, A), 1)))) => k2_pre_ff(D)=k2_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(B, C), k2_pre_ff(A)), k3_xcmplx_0(C, k2_pre_ff(k1_nat_1(A, 1))))) ) ) ) ) ) ) ) ) ).
fof(dt_k1_pre_ff, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k1_pre_ff(A), k4_ordinal1)) ) ).
fof(dt_k2_pre_ff, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k2_pre_ff(A), k4_ordinal1)) ) ).
fof(rc1_pre_poly, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k3_finseq_2(A)) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_xboole_0(B) &  (v1_finset_1(B) &  (v4_card_3(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_pre_poly, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k3_finseq_2(A)) => v1_finseq_1(B)) ) ) ).
fof(fc1_pre_poly, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ (v1_xboole_0(k1_finseq_1(k1_nat_1(A, 1)))) ) ) ).
fof(rc2_pre_poly, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k5_finsub_1(A))) &  ~ (v1_xboole_0(B)) ) ) ) ).
fof(rc3_pre_poly, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k5_finsub_1(A))) &  ( ~ (v1_xboole_0(B))  & v1_setfam_1(B)) ) ) ) ) ).
fof(rc4_pre_poly, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_setfam_1(B) & m1_subset_1(B, k1_zfmisc_1(k5_finsub_1(A)))) ) )  =>  (? [C] :  (m1_subset_1(C, B) &  ( ~ (v8_ordinal1(C))  &  ~ (v1_xboole_0(C)) ) ) ) ) ) ).
fof(rc5_pre_poly, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k5_finsub_1(A))) &  ~ (v2_setfam_1(B)) ) ) ) ) ).
fof(rc6_pre_poly, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_setfam_1(B))  & m1_subset_1(B, k1_zfmisc_1(k5_finsub_1(A)))) )  =>  (? [C] :  (m1_subset_1(C, B) &  ( ~ (v1_xboole_0(C))  & v1_finset_1(C)) ) ) ) ) ).
fof(cc2_pre_poly, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k5_finsub_1(A))))  =>  (! [C] :  (m1_subset_1(C, B) => v1_finset_1(C)) ) ) ) ).
fof(rc7_pre_poly, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v1_pre_poly(A)) ) ) ).
fof(fc2_pre_poly, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_pre_poly(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_pre_poly(B)) ) )  =>  (v1_relat_1(k8_pre_poly(A, B)) &  (v1_funct_1(k8_pre_poly(A, B)) & v1_pre_poly(k8_pre_poly(A, B))) ) ) ) ).
fof(rc8_pre_poly, axiom,  (? [A] :  (v4_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finset_1(A)) ) ) ).
fof(cc3_pre_poly, axiom,  (! [A] :  (! [B] :  (m1_finseq_1(B, k3_finseq_2(A)) => v1_pre_poly(B)) ) ) ).
fof(cc4_pre_poly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_pre_poly(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) ) ) ) ).
fof(fc3_pre_poly, axiom,  (! [A, B, C, D] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v1_relat_1(k1_funct_7(B, C, D)) &  (v4_relat_1(k1_funct_7(B, C, D), A) & v1_funct_1(k1_funct_7(B, C, D))) ) ) ) ).
fof(fc4_pre_poly, axiom,  (! [A, B, C, D] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v1_relat_1(k1_funct_7(B, C, D)) &  (v4_relat_1(k1_funct_7(B, C, D), A) &  (v1_funct_1(k1_funct_7(B, C, D)) & v1_partfun1(k1_funct_7(B, C, D), A)) ) ) ) ) ).
fof(rc9_pre_poly, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, A) &  (v1_partfun1(B, A) &  (v1_funct_2(B, A, A) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v8_relat_2(B) &  (v2_wellord1(B) & v3_orders_1(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc5_pre_poly, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(A))) )  &  (v1_partfun1(C, A) &  (v1_relat_2(C) &  (v4_relat_2(C) &  (v8_relat_2(C) &  (v3_orders_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ) )  =>  (v2_funct_1(k7_pre_poly(A, B, C)) &  ~ (v1_xboole_0(k7_pre_poly(A, B, C))) ) ) ) ).
fof(cc5_pre_poly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_xboole_0(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_pre_poly(A)) ) ) ) ).
fof(fc6_pre_poly, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_pre_poly(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_pre_poly(B)) ) ) )  =>  (v1_relat_1(k8_pre_poly(A, B)) &  (v1_funct_1(k8_pre_poly(A, B)) & v1_finseq_1(k8_pre_poly(A, B))) ) ) ) ).
fof(fc7_pre_poly, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  =>  (v1_relat_1(k2_finseq_2(A, B)) &  (v1_funct_1(k2_finseq_2(A, B)) &  (v1_finseq_1(k2_finseq_2(A, B)) & v1_pre_poly(k2_finseq_2(A, B))) ) ) ) ) ).
fof(fc8_pre_poly, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_pre_poly(A)) ) )  => v1_finseq_1(k1_funct_1(A, B))) ) ).
fof(fc9_pre_poly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(k1_card_3(A)) &  (v1_funct_1(k1_card_3(A)) &  (v1_card_3(k1_card_3(A)) & v1_finseq_1(k1_card_3(A))) ) ) ) ) ).
fof(rc10_pre_poly, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_card_3(A) &  (v4_card_3(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ) ).
fof(fc10_pre_poly, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_card_3(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_card_3(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v1_card_3(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(cc6_pre_poly, axiom,  (! [A] :  (m1_finseq_1(A, k4_ordinal1) => v1_card_3(A)) ) ).
fof(rc11_pre_poly, axiom,  (? [A] :  (m1_finseq_1(A, k4_ordinal1) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_card_3(A) &  (v4_card_3(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) & v4_valued_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc11_pre_poly, axiom,  (! [A, B] :  ( (m1_finseq_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  =>  (v1_relat_1(k16_finseq_1(B, A)) &  (v1_funct_1(k16_finseq_1(B, A)) &  (v1_card_3(k16_finseq_1(B, A)) & v1_finseq_1(k16_finseq_1(B, A))) ) ) ) ) ).
fof(fc12_pre_poly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_xboole_0(A)) )  =>  (v1_relat_1(k1_card_3(A)) &  (v1_funct_1(k1_card_3(A)) &  (v1_xboole_0(k1_card_3(A)) & v1_card_3(k1_card_3(A))) ) ) ) ) ).
fof(fc13_pre_poly, axiom,  (! [A] : v1_pre_poly(k6_finseq_1(A))) ).
fof(fc14_pre_poly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => v1_pre_poly(k5_finseq_1(A))) ) ).
fof(fc15_pre_poly, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_pre_poly(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_pre_poly(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v1_finseq_1(k7_finseq_1(A, B)) & v1_pre_poly(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc16_pre_poly, axiom,  (! [A, B] :  ( (v1_xboole_0(B) & m1_finseq_1(B, k3_finseq_2(A)))  => v1_xboole_0(k5_pre_poly(A, B))) ) ).
fof(fc17_pre_poly, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v4_valued_0(A)) )  & v7_ordinal1(C))  =>  (v1_relat_1(k1_funct_7(A, B, C)) &  (v1_funct_1(k1_funct_7(A, B, C)) & v4_valued_0(k1_funct_7(A, B, C))) ) ) ) ).
fof(fc18_pre_poly, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  & v1_xreal_0(C))  =>  (v1_relat_1(k1_funct_7(A, B, C)) &  (v1_funct_1(k1_funct_7(A, B, C)) & v3_valued_0(k1_funct_7(A, B, C))) ) ) ) ).
fof(fc19_pre_poly, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v4_valued_0(B)) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v4_valued_0(C)) ) ) ) )  =>  (v1_relat_1(k1_valued_1(B, C)) &  (v1_funct_1(k1_valued_1(B, C)) & v4_valued_0(k1_valued_1(B, C))) ) ) ) ).
fof(fc20_pre_poly, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v4_valued_0(B)) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v4_valued_0(C)) ) ) ) )  =>  (v1_relat_1(k12_pre_poly(A, B, C)) &  (v4_relat_1(k12_pre_poly(A, B, C), A) &  (v1_funct_1(k12_pre_poly(A, B, C)) &  (v1_partfun1(k12_pre_poly(A, B, C), A) & v4_valued_0(k12_pre_poly(A, B, C))) ) ) ) ) ) ).
fof(cc7_pre_poly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_pre_poly(A)) ) ) ) ).
fof(rc12_pre_poly, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v4_valued_0(A) & v2_pre_poly(A)) ) ) ) ) ).
fof(fc21_pre_poly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_pre_poly(A)) )  => v1_finset_1(k13_pre_poly(A))) ) ).
fof(rc13_pre_poly, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_funct_2(B, A, k4_ordinal1) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc22_pre_poly, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_pre_poly(A)) )  =>  (v1_relat_1(k1_funct_7(A, B, C)) &  (v1_funct_1(k1_funct_7(A, B, C)) & v2_pre_poly(k1_funct_7(A, B, C))) ) ) ) ).
fof(rc14_pre_poly, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) ) ) ) ).
fof(cc8_pre_poly, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v2_pre_poly(B)) ) ) ) ) ) ) ) ).
fof(fc23_pre_poly, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) ) )  =>  (v1_relat_1(k1_valued_1(B, C)) &  (v1_funct_1(k1_valued_1(B, C)) & v2_pre_poly(k1_valued_1(B, C))) ) ) ) ).
fof(fc24_pre_poly, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) ) )  =>  (v1_relat_1(k12_pre_poly(A, B, C)) &  (v4_relat_1(k12_pre_poly(A, B, C), A) &  (v1_funct_1(k12_pre_poly(A, B, C)) &  (v1_partfun1(k12_pre_poly(A, B, C), A) & v2_pre_poly(k12_pre_poly(A, B, C))) ) ) ) ) ) ).
fof(fc25_pre_poly, axiom,  (! [A] :  ~ (v1_xboole_0(k14_pre_poly(A))) ) ).
fof(cc9_pre_poly, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k15_pre_poly(A))) => v4_funct_1(B)) ) ) ).
fof(cc10_pre_poly, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k15_pre_poly(A))) =>  (! [C] :  (m1_subset_1(C, B) => v4_relat_1(C, A)) ) ) ) ).
fof(cc11_pre_poly, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k15_pre_poly(A))))  =>  (! [C] :  (m1_subset_1(C, B) =>  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) ) ) ).
fof(fc26_pre_poly, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_partfun1(k17_pre_poly(A), k15_pre_poly(A)) &  (v1_relat_2(k17_pre_poly(A)) &  (v4_relat_2(k17_pre_poly(A)) &  (v8_relat_2(k17_pre_poly(A)) & v3_orders_1(k17_pre_poly(A))) ) ) ) ) ) ).
fof(fc27_pre_poly, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (v4_funct_1(k18_pre_poly(A, B)) &  ~ (v1_xboole_0(k18_pre_poly(A, B))) ) ) ) ).
fof(cc12_pre_poly, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  (m1_subset_1(C, k18_pre_poly(A, B)) => v4_valued_0(C)) ) ) ) ).
fof(fc28_pre_poly, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) &  (v2_pre_poly(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) ) )  => v1_finset_1(k18_pre_poly(A, B))) ) ).
fof(fc29_pre_poly, axiom,  (! [A, B] :  ( (v3_ordinal1(A) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) ) )  =>  (v2_funct_1(k20_pre_poly(A, B)) &  ~ (v1_xboole_0(k20_pre_poly(A, B))) ) ) ) ).
fof(fc30_pre_poly, axiom,  (! [A, B] :  ( (v3_ordinal1(A) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) ) )  =>  (v2_funct_1(k21_pre_poly(A, B)) &  ( ~ (v1_xboole_0(k21_pre_poly(A, B)))  & v1_pre_poly(k21_pre_poly(A, B))) ) ) ) ).
fof(fc31_pre_poly, axiom,  (! [A, B] :  ( (v3_ordinal1(A) & m1_subset_1(B, k15_pre_poly(A)))  =>  (v2_funct_1(k21_pre_poly(A, B)) &  ( ~ (v1_xboole_0(k21_pre_poly(A, B)))  & v1_pre_poly(k21_pre_poly(A, B))) ) ) ) ).
fof(cc13_pre_poly, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & v7_ordinal1(B))  =>  (! [C] :  (m1_finseq_1(C, k4_finseq_2(B, A)) => v1_pre_poly(C)) ) ) ) ).
fof(fc32_pre_poly, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( ~ (v1_xboole_0(B))  & m1_finseq_1(C, k4_finseq_2(A, B))) )  =>  (v1_relat_1(k7_partfun1(k4_finseq_2(A, B), C, D)) & v1_funct_1(k7_partfun1(k4_finseq_2(A, B), C, D))) ) ) ).
fof(fc33_pre_poly, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, k4_ordinal1) &  ( ~ (v1_xboole_0(B))  & m1_finseq_1(C, k4_finseq_2(A, B))) )  =>  (v5_relat_1(k7_partfun1(k4_finseq_2(A, B), C, D), B) & v1_finseq_1(k7_partfun1(k4_finseq_2(A, B), C, D))) ) ) ).
fof(rc15_pre_poly, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, A) &  (v5_relat_1(B, k3_numbers) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, A) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc34_pre_poly, axiom,  (! [A] : v1_xboole_0(k13_pre_poly(k16_pre_poly(A)))) ).
fof(d1_pre_poly, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, k3_finseq_2(A)) =>  (! [C] :  (m2_finseq_2(C, A, k3_finseq_2(A)) =>  (C=k5_pre_poly(A, B) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k3_finseq_2(A), k3_finseq_2(A)), k3_finseq_2(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), k3_finseq_2(A)), k3_finseq_2(A))))) )  &  ( (! [E] :  (m2_finseq_2(E, A, k3_finseq_2(A)) =>  (! [F] :  (m2_finseq_2(F, A, k3_finseq_2(A)) => k4_binop_1(k3_finseq_2(A), D, E, F)=k1_pre_poly(A, E, F)) ) ) )  & C=k1_finsop_1(k3_finseq_2(A), B, D)) ) ) ) ) ) ) ) ) ).
fof(t1_pre_poly, axiom,  (! [A] :  (! [B] :  (m2_finseq_2(B, A, k3_finseq_2(A)) => k5_pre_poly(A, k3_pre_poly(k3_finseq_2(A), B))=B) ) ) ).
fof(t2_pre_poly, axiom,  (! [A] : k5_pre_poly(A, k2_pre_poly(k3_finseq_2(A)))=k2_pre_poly(A)) ).
fof(t3_pre_poly, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, k3_finseq_2(A)) =>  (! [C] :  (m2_finseq_1(C, k3_finseq_2(A)) => k5_pre_poly(A, k8_finseq_1(k3_finseq_2(A), B, C))=k1_pre_poly(A, k5_pre_poly(A, B), k5_pre_poly(A, C))) ) ) ) ) ).
fof(t4_pre_poly, axiom,  (! [A] :  (! [B] :  (m2_finseq_2(B, A, k3_finseq_2(A)) =>  (! [C] :  (m2_finseq_2(C, A, k3_finseq_2(A)) => k5_pre_poly(A, k4_pre_poly(k3_finseq_2(A), B, C))=k1_pre_poly(A, B, C)) ) ) ) ) ).
fof(t5_pre_poly, axiom,  (! [A] :  (! [B] :  (m2_finseq_2(B, A, k3_finseq_2(A)) =>  (! [C] :  (m2_finseq_2(C, A, k3_finseq_2(A)) =>  (! [D] :  (m2_finseq_2(D, A, k3_finseq_2(A)) => k5_pre_poly(A, k3_finseq_4(k3_finseq_2(A), B, C, D))=k1_pre_poly(A, k1_pre_poly(A, B, C), D)) ) ) ) ) ) ) ).
fof(t6_pre_poly, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, k3_finseq_2(A)) =>  (! [C] :  (m2_finseq_1(C, k3_finseq_2(A)) =>  (r1_relset_1(k4_ordinal1, k3_finseq_2(A), B, C) => r1_relset_1(k4_ordinal1, A, k5_pre_poly(A, B), k5_pre_poly(A, C))) ) ) ) ) ) ).
fof(t7_pre_poly, axiom,  (! [A] : k2_wellord1(k1_xboole_0, A)=k1_xboole_0) ).
fof(d2_pre_poly, axiom,  (! [A] :  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(A)))  =>  (! [C] :  ( (v1_partfun1(C, A) &  (v1_relat_2(C) &  (v4_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  =>  (r3_orders_1(C, B) =>  (! [D] :  (m2_finseq_1(D, A) =>  (D=k7_pre_poly(A, B, C) <=>  (k2_relset_1(A, D)=B &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r2_tarski(E, k4_finseq_1(D)) & r2_tarski(F, k4_finseq_1(D)))  =>  (r1_xxreal_0(F, E) |  ( ~ (k7_partfun1(A, D, E)=k7_partfun1(A, D, F))  & r2_hidden(k4_tarski(k7_partfun1(A, D, E), k7_partfun1(A, D, F)), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_pre_poly, axiom,  (! [A] :  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(A)))  =>  (! [C] :  ( (v1_partfun1(C, A) &  (v1_relat_2(C) &  (v4_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  =>  (! [D] :  (m2_finseq_1(D, A) =>  ( (k2_relset_1(A, D)=B &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r2_tarski(E, k4_finseq_1(D)) & r2_tarski(F, k4_finseq_1(D)))  =>  (r1_xxreal_0(F, E) |  ( ~ (k7_partfun1(A, D, E)=k7_partfun1(A, D, F))  & r2_hidden(k4_tarski(k7_partfun1(A, D, E), k7_partfun1(A, D, F)), C)) ) ) ) ) ) ) )  => D=k7_pre_poly(A, B, C)) ) ) ) ) ) ) ) ).
fof(t10_pre_poly, axiom,  (! [A] :  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(A)))  =>  (! [C] :  ( (v1_partfun1(C, A) &  (v1_relat_2(C) &  (v4_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  =>  (r3_orders_1(C, B) => v2_funct_1(k7_pre_poly(A, B, C))) ) ) ) ) ) ).
fof(t11_pre_poly, axiom,  (! [A] :  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(A)))  =>  (! [C] :  ( (v1_partfun1(C, A) &  (v1_relat_2(C) &  (v4_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  =>  (r3_orders_1(C, B) => k3_finseq_1(k7_pre_poly(A, B, C))=k4_card_1(B)) ) ) ) ) ) ).
fof(t12_pre_poly, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (k3_finseq_1(B)=k1_nat_1(A, 1) => k3_finseq_1(k2_finseq_3(k1_nat_1(A, 1), B))=A) ) ) ) ) ).
fof(t13_pre_poly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  ( ~ (A=k1_xboole_0)  => A=k7_finseq_1(k2_finseq_3(k3_finseq_1(A), A), k9_finseq_1(k1_funct_1(A, k3_finseq_1(A))))) ) ) ).
fof(d3_pre_poly, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_pre_poly(A) <=>  (! [B] :  (r2_hidden(B, k9_xtuple_0(A)) =>  (v1_relat_1(k1_funct_1(A, B)) &  (v1_funct_1(k1_funct_1(A, B)) & v1_finseq_1(k1_funct_1(A, B))) ) ) ) ) ) ) ).
fof(d4_pre_poly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_pre_poly(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_pre_poly(B)) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k8_pre_poly(A, B) <=>  (k9_xtuple_0(C)=k3_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)) &  (! [D] :  (r2_tarski(D, k9_xtuple_0(C)) =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) )  =>  ( (E=k1_funct_1(A, D) & F=k1_funct_1(B, D))  => k1_funct_1(C, D)=k7_finseq_1(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_pre_poly, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  ~ ( (! [C] :  (m1_subset_1(C, k4_partfun1(A, B)) => C=k1_xboole_0) ) ) ) ) ) ) ).
fof(t15_pre_poly, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k4_partfun1(A, B)) =>  (! [D] :  (r1_tarski(D, C) => r2_tarski(D, k4_partfun1(A, B))) ) ) ) ) ) ).
fof(t16_pre_poly, axiom,  (! [A] :  (! [B] : r1_tarski(k4_partfun1(A, B), k9_setfam_1(k2_zfmisc_1(A, B)))) ) ).
fof(t17_pre_poly, axiom,  (! [A] :  (! [B] :  ( (v1_finset_1(A) & v1_finset_1(B))  => v1_finset_1(k4_partfun1(A, B))) ) ) ).
fof(t18_pre_poly, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (r1_tarski(k1_relat_1(B), A) => m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ).
fof(t19_pre_poly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) )  => k1_card_1(A)=k1_card_1(k10_xtuple_0(A))) ) ).
fof(t20_pre_poly, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(A))) )  =>  (! [C] :  ( (v1_partfun1(C, A) &  (v1_relat_2(C) &  (v4_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  =>  (! [D] :  (m1_subset_1(D, A) =>  ( (r2_tarski(D, B) &  (r3_orders_1(C, B) &  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, B) => r2_tarski(k1_domain_1(A, A, D, E), C)) ) ) ) )  => k7_partfun1(A, k7_pre_poly(A, B, C), 1)=D) ) ) ) ) ) ) ) ) ).
fof(t21_pre_poly, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(A))) )  =>  (! [C] :  ( (v1_partfun1(C, A) &  (v1_relat_2(C) &  (v4_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  =>  (! [D] :  (m1_subset_1(D, A) =>  ( (r2_tarski(D, B) &  (r3_orders_1(C, B) &  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, B) => r2_tarski(k1_domain_1(A, A, E, D), C)) ) ) ) )  => k7_partfun1(A, k7_pre_poly(A, B, C), k3_finseq_1(k7_pre_poly(A, B, C)))=D) ) ) ) ) ) ) ) ) ).
fof(t22_pre_poly, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_card_3(A) <=>  (! [B] :  (r2_tarski(B, k10_xtuple_0(A)) => v1_card_1(B)) ) ) ) ) ).
fof(t23_pre_poly, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] : k1_card_3(k5_relat_1(A, B))=k5_relat_1(k1_card_3(A), B)) ) ) ).
fof(t24_pre_poly, axiom,  (! [A] : k1_card_3(k9_finseq_1(A))=k9_finseq_1(k1_card_1(A))) ).
fof(t25_pre_poly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => k1_card_3(k7_finseq_1(A, B))=k7_finseq_1(k1_card_3(A), k1_card_3(B))) ) ) ) ).
fof(t26_pre_poly, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_pre_poly(A) <=>  (! [B] :  (r2_tarski(B, k10_xtuple_0(A)) =>  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) ) ) ) ) ).
fof(t27_pre_poly, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, k3_finseq_2(A)) => k3_finseq_1(k5_pre_poly(A, B))=k1_wsierp_1(k10_pre_poly(A, B))) ) ) ).
fof(t28_pre_poly, axiom,  (! [A] :  (! [B] :  (! [C] :  (m2_finseq_1(C, k3_finseq_2(A)) =>  (! [D] :  (m2_finseq_1(D, k3_finseq_2(B)) =>  (k10_pre_poly(A, C)=k10_pre_poly(B, D) => k3_finseq_1(k5_pre_poly(A, C))=k3_finseq_1(k5_pre_poly(B, D))) ) ) ) ) ) ) ).
fof(t29_pre_poly, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, k3_finseq_2(A)) =>  (! [C] :  ~ ( (r2_tarski(C, k4_finseq_1(k5_pre_poly(A, B))) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_tarski(D, k4_finseq_1(B)) &  (r2_tarski(E, k4_finseq_1(k1_funct_1(B, D))) &  (C=k2_xcmplx_0(k1_wsierp_1(k10_pre_poly(A, k17_finseq_1(k3_finseq_2(A), k7_nat_d(D, 1), B))), E) & k1_funct_1(k1_funct_1(B, D), E)=k1_funct_1(k5_pre_poly(A, B), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_pre_poly, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, k3_finseq_2(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (r2_tarski(C, k4_finseq_1(B)) & r2_tarski(D, k4_finseq_1(k1_funct_1(B, C))))  =>  (r2_tarski(k1_nat_1(k1_wsierp_1(k10_pre_poly(A, k17_finseq_1(k3_finseq_2(A), k7_nat_d(C, 1), B))), D), k4_finseq_1(k5_pre_poly(A, B))) & k1_funct_1(k1_funct_1(B, C), D)=k1_funct_1(k5_pre_poly(A, B), k1_nat_1(k1_wsierp_1(k10_pre_poly(A, k17_finseq_1(k3_finseq_2(A), k7_nat_d(C, 1), B))), D))) ) ) ) ) ) ) ) ) ).
fof(t31_pre_poly, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, k3_finseq_2(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  => m2_finseq_1(k8_pboole(C, k8_funcop_1(k1_zfmisc_1(k2_zfmisc_1(A, B)), k4_finseq_1(C), D)), k3_finseq_2(B))) ) ) ) ) ) ) ) ).
fof(t32_pre_poly, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, k3_finseq_2(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (? [E] :  (m2_finseq_1(E, k3_finseq_2(B)) &  (E=k8_pboole(C, k8_funcop_1(k1_zfmisc_1(k2_zfmisc_1(A, B)), k4_finseq_1(C), D)) & k4_finseqop(A, B, k5_pre_poly(A, C), D)=k5_pre_poly(B, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_pre_poly, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_valued_0(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v1_valued_0(C)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (D=k11_pre_poly(A, B, C) <=>  (! [E] : k1_funct_1(D, E)=k2_xcmplx_0(k1_funct_1(B, E), k1_funct_1(C, E))) ) ) ) ) ) ) ) ) ).
fof(d6_pre_poly, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v4_valued_0(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v4_valued_0(C)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (D=k12_pre_poly(A, B, C) <=>  (! [E] : k1_funct_1(D, E)=k7_nat_d(k1_funct_1(B, E), k1_funct_1(C, E))) ) ) ) ) ) ) ) ) ).
fof(t33_pre_poly, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v3_valued_0(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v3_valued_0(C)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) & v3_valued_0(D)) ) ) )  =>  ( (! [E] :  (r2_hidden(E, A) => k1_funct_1(B, E)=k2_xcmplx_0(k1_funct_1(C, E), k1_funct_1(D, E))) )  => r6_pboole(A, B, k11_pre_poly(A, C, D))) ) ) ) ) ) ) ) ).
fof(t34_pre_poly, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v4_valued_0(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v4_valued_0(C)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) & v4_valued_0(D)) ) ) )  =>  ( (! [E] :  (r2_hidden(E, A) => k1_funct_1(B, E)=k7_nat_d(k1_funct_1(C, E), k1_funct_1(D, E))) )  => r6_pboole(A, B, k12_pre_poly(A, C, D))) ) ) ) ) ) ) ) ).
fof(t35_pre_poly, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v3_valued_0(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v3_valued_0(C)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) & v3_valued_0(D)) ) ) )  => r6_pboole(A, k11_pre_poly(A, k11_pre_poly(A, B, C), D), k11_pre_poly(A, B, k11_pre_poly(A, C, D)))) ) ) ) ) ) ) ).
fof(t36_pre_poly, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v4_valued_0(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v4_valued_0(C)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) & v4_valued_0(D)) ) ) )  => r6_pboole(A, k12_pre_poly(A, k12_pre_poly(A, B, C), D), k12_pre_poly(A, B, k11_pre_poly(A, C, D)))) ) ) ) ) ) ) ).
fof(d7_pre_poly, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (B=k13_pre_poly(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  ~ (k1_funct_1(A, C)=k5_numbers) ) ) ) ) ) ) ).
fof(t37_pre_poly, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => r1_tarski(k13_pre_poly(A), k9_xtuple_0(A))) ) ).
fof(d8_pre_poly, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v2_pre_poly(A) <=> v1_finset_1(k13_pre_poly(A))) ) ) ).
fof(t38_pre_poly, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v4_valued_0(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v4_valued_0(C)) ) ) )  => k13_pre_poly(k11_pre_poly(A, B, C))=k2_xboole_0(k13_pre_poly(B), k13_pre_poly(C))) ) ) ) ) ).
fof(t39_pre_poly, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v4_valued_0(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v4_valued_0(C)) ) ) )  => r1_tarski(k13_pre_poly(k12_pre_poly(A, B, C)), k13_pre_poly(B))) ) ) ) ) ).
fof(t40_pre_poly, axiom,  (! [A] :  (v1_relat_1(k8_funcop_1(k4_ordinal1, A, k5_numbers)) &  (v4_relat_1(k8_funcop_1(k4_ordinal1, A, k5_numbers), A) &  (v1_funct_1(k8_funcop_1(k4_ordinal1, A, k5_numbers)) &  (v1_partfun1(k8_funcop_1(k4_ordinal1, A, k5_numbers), A) &  (v4_valued_0(k8_funcop_1(k4_ordinal1, A, k5_numbers)) & v2_pre_poly(k8_funcop_1(k4_ordinal1, A, k5_numbers))) ) ) ) ) ) ).
fof(d9_pre_poly, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (r1_pre_poly(A, B, C) <=>  (? [D] :  (v3_ordinal1(D) &  ( ~ (r1_xxreal_0(k1_funct_1(C, D), k1_funct_1(B, D)))  &  (! [E] :  (v3_ordinal1(E) =>  (r2_tarski(E, D) => k1_funct_1(B, E)=k1_funct_1(C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_pre_poly, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  ( (r1_pre_poly(A, B, C) & r1_pre_poly(A, C, D))  => r1_pre_poly(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d10_pre_poly, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (r2_pre_poly(A, B, C) <=>  (r1_pre_poly(A, B, C) | r6_pboole(A, B, C)) ) ) ) ) ) ) ) ).
fof(t42_pre_poly, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  ( (r2_pre_poly(A, B, C) & r2_pre_poly(A, C, D))  => r2_pre_poly(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t43_pre_poly, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  ( (r1_pre_poly(A, B, C) & r2_pre_poly(A, C, D))  => r1_pre_poly(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t44_pre_poly, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  ( (r2_pre_poly(A, B, C) & r1_pre_poly(A, C, D))  => r1_pre_poly(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t45_pre_poly, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (r2_pre_poly(A, B, C) | r2_pre_poly(A, C, B)) ) ) ) ) ) ) ).
fof(d11_pre_poly, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (r3_pre_poly(A, B, C) <=>  (! [D] : r1_xxreal_0(k1_funct_1(B, D), k1_funct_1(C, D))) ) ) ) ) ) ) ).
fof(t46_pre_poly, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  ( (! [D] :  (r2_hidden(D, A) => r1_xxreal_0(k1_funct_1(B, D), k1_funct_1(C, D))) )  => r3_pre_poly(A, B, C)) ) ) ) ) ) ).
fof(t47_pre_poly, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (r3_pre_poly(A, B, C) => r6_pboole(A, k11_pre_poly(A, k12_pre_poly(A, C, B), B), C)) ) ) ) ) ) ).
fof(t48_pre_poly, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  => r6_pboole(A, k12_pre_poly(A, k11_pre_poly(A, C, B), B), C)) ) ) ) ) ).
fof(t49_pre_poly, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (r3_pre_poly(A, B, C) => r2_pre_poly(A, B, C)) ) ) ) ) ) ) ).
fof(t50_pre_poly, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (r6_pboole(A, B, k11_pre_poly(A, C, D)) => r3_pre_poly(A, C, B)) ) ) ) ) ) ) ) ).
fof(d12_pre_poly, axiom,  (! [A] :  (! [B] :  (B=k14_pre_poly(A) <=>  (! [C] :  (r2_tarski(C, B) <=>  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) ) ) ) ) ) ) ).
fof(t51_pre_poly, axiom, k15_pre_poly(k1_xboole_0)=k1_tarski(k1_xboole_0)).
fof(t53_pre_poly, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  => r6_pboole(A, k11_pre_poly(A, B, k16_pre_poly(A)), B)) ) ) ).
fof(t54_pre_poly, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  => r6_pboole(A, k12_pre_poly(A, B, k16_pre_poly(A)), B)) ) ) ).
fof(t55_pre_poly, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  => r6_pboole(A, k12_pre_poly(A, k16_pre_poly(A), B), k16_pre_poly(A))) ) ) ).
fof(t56_pre_poly, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  => r6_pboole(A, k12_pre_poly(A, B, B), k16_pre_poly(A))) ) ) ).
fof(t57_pre_poly, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  ( (r3_pre_poly(A, B, C) & r6_pboole(A, k12_pre_poly(A, C, B), k16_pre_poly(A)))  => r6_pboole(A, C, B)) ) ) ) ) ) ).
fof(t58_pre_poly, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (r3_pre_poly(A, B, k16_pre_poly(A)) => r6_pboole(A, k16_pre_poly(A), B)) ) ) ) ).
fof(t59_pre_poly, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  => r3_pre_poly(A, k16_pre_poly(A), B)) ) ) ).
fof(t60_pre_poly, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  => r2_pre_poly(A, k16_pre_poly(A), B)) ) ) ) ).
fof(d14_pre_poly, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_partfun1(B, k15_pre_poly(A)) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) )  =>  (B=k17_pre_poly(A) <=>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (r2_hidden(k4_tarski(C, D), B) <=> r2_pre_poly(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(d15_pre_poly, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_funct_2(A, k4_ordinal1))) =>  (C=k18_pre_poly(A, B) <=>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) & v4_valued_0(D)) ) ) )  =>  (r2_tarski(D, C) <=>  (! [E] :  (r2_tarski(E, A) => r1_xxreal_0(k1_funct_1(D, E), k1_funct_1(B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_pre_poly, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  => r2_tarski(B, k18_pre_poly(A, B))) ) ) ).
fof(t62_pre_poly, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) &  (v2_pre_poly(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) ) )  => r1_tarski(k18_pre_poly(A, B), k15_pre_poly(A))) ) ) ).
fof(t63_pre_poly, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) &  (v2_pre_poly(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) ) )  => k1_card_1(k18_pre_poly(A, B))=k7_setwiseo(A, k4_ordinal1, k24_binop_2, k19_pre_poly(A, B), k9_funcop_1(k4_ordinal1, A, k23_binop_2, B, 1))) ) ) ) ).
fof(d16_pre_poly, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, k15_pre_poly(A)) =>  (C=k20_pre_poly(A, B) <=>  (? [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(k15_pre_poly(A)))) )  &  (C=k7_pre_poly(k15_pre_poly(A), D, k17_pre_poly(A)) &  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) )  =>  (r2_tarski(E, D) <=> r3_pre_poly(A, E, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_pre_poly, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (r2_tarski(B, k4_finseq_1(k20_pre_poly(A, C))) => r3_pre_poly(A, k7_partfun1(k15_pre_poly(A), k20_pre_poly(A, C), B), C)) ) ) ) ) ) ) ).
fof(t65_pre_poly, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (r6_pboole(A, k7_partfun1(k15_pre_poly(A), k20_pre_poly(A, B), 1), k16_pre_poly(A)) & r6_pboole(A, k7_partfun1(k15_pre_poly(A), k20_pre_poly(A, B), k3_finseq_1(k20_pre_poly(A, B))), B)) ) ) ) ) ).
fof(t66_pre_poly, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) )  =>  ~ ( ( ~ (r1_xxreal_0(B, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(k20_pre_poly(A, C)), B))  &  ~ ( ( ~ (k7_partfun1(k15_pre_poly(A), k20_pre_poly(A, C), B)=k16_pre_poly(A))  &  ~ (k7_partfun1(k15_pre_poly(A), k20_pre_poly(A, C), B)=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_pre_poly, axiom,  (! [A] :  (v3_ordinal1(A) => k20_pre_poly(A, k16_pre_poly(A))=k3_pre_poly(k15_pre_poly(A), k16_pre_poly(A))) ) ).
fof(d17_pre_poly, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, k4_finseq_2(2, k15_pre_poly(A))) =>  (C=k21_pre_poly(A, B) <=>  (k4_finseq_1(C)=k4_finseq_1(k20_pre_poly(A, B)) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) )  =>  ( (r2_tarski(D, k4_finseq_1(C)) & r6_pboole(A, E, k7_partfun1(k15_pre_poly(A), k20_pre_poly(A, B), D)))  => k9_pre_poly(k15_pre_poly(A), k4_ordinal1, k4_finseq_2(2, k15_pre_poly(A)), C, D)=k10_finseq_1(E, k12_pre_poly(A, B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_pre_poly, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  ~ ( (r2_tarski(B, k4_finseq_1(k21_pre_poly(A, C))) &  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) )  =>  ~ ( (k9_pre_poly(k15_pre_poly(A), k4_ordinal1, k4_finseq_2(2, k15_pre_poly(A)), k21_pre_poly(A, C), B)=k10_finseq_1(D, E) & r6_pboole(A, C, k11_pre_poly(A, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t69_pre_poly, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  ~ ( (r6_pboole(A, B, k11_pre_poly(A, C, D)) &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ~ ( (r2_tarski(E, k4_finseq_1(k21_pre_poly(A, B))) & k9_pre_poly(k15_pre_poly(A), k4_ordinal1, k4_finseq_2(2, k15_pre_poly(A)), k21_pre_poly(A, B), E)=k10_finseq_1(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_pre_poly, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) )  =>  ( (r2_tarski(B, k4_finseq_1(k21_pre_poly(A, C))) & k9_pre_poly(k15_pre_poly(A), k4_ordinal1, k4_finseq_2(2, k15_pre_poly(A)), k21_pre_poly(A, C), B)=k10_finseq_1(D, E))  => r6_pboole(A, D, k7_partfun1(k15_pre_poly(A), k20_pre_poly(A, C), B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_pre_poly, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (k9_pre_poly(k15_pre_poly(A), k4_ordinal1, k4_finseq_2(2, k15_pre_poly(A)), k21_pre_poly(A, B), 1)=k10_finseq_1(k16_pre_poly(A), B) & k9_pre_poly(k15_pre_poly(A), k4_ordinal1, k4_finseq_2(2, k15_pre_poly(A)), k21_pre_poly(A, B), k3_finseq_1(k21_pre_poly(A, B)))=k10_finseq_1(B, k16_pre_poly(A))) ) ) ) ) ).
fof(t72_pre_poly, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v4_valued_0(D) & v2_pre_poly(D)) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v4_valued_0(E) & v2_pre_poly(E)) ) ) ) )  =>  (k9_pre_poly(k15_pre_poly(A), k4_ordinal1, k4_finseq_2(2, k15_pre_poly(A)), k21_pre_poly(A, C), B)=k10_finseq_1(D, E) =>  (r1_xxreal_0(B, 1) |  (r1_xxreal_0(k3_finseq_1(k21_pre_poly(A, C)), B) |  ( ~ (D=k16_pre_poly(A))  &  ~ (E=k16_pre_poly(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t73_pre_poly, axiom,  (! [A] :  (v3_ordinal1(A) => k21_pre_poly(A, k16_pre_poly(A))=k3_pre_poly(k3_finseq_2(k15_pre_poly(A)), k4_pre_poly(k15_pre_poly(A), k16_pre_poly(A), k16_pre_poly(A)))) ) ).
fof(t74_pre_poly, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, k3_finseq_2(k4_finseq_2(3, k15_pre_poly(A)))) =>  (! [D] :  (m2_finseq_1(D, k3_finseq_2(k4_finseq_2(3, k15_pre_poly(A)))) =>  ~ ( (k4_finseq_1(C)=k4_finseq_1(k21_pre_poly(A, B)) &  (k4_finseq_1(D)=k4_finseq_1(k21_pre_poly(A, B)) &  ( (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(C)) => k1_funct_1(C, E)=k8_pre_poly(k21_pre_poly(A, k7_partfun1(k15_pre_poly(A), k9_pre_poly(k15_pre_poly(A), k4_ordinal1, k4_finseq_2(2, k15_pre_poly(A)), k21_pre_poly(A, B), E), 1)), k5_finseq_2(k3_finseq_2(k15_pre_poly(A)), k3_finseq_1(k21_pre_poly(A, k7_partfun1(k15_pre_poly(A), k9_pre_poly(k15_pre_poly(A), k4_ordinal1, k4_finseq_2(2, k15_pre_poly(A)), k21_pre_poly(A, B), E), 1))), k3_pre_poly(k15_pre_poly(A), k7_partfun1(k15_pre_poly(A), k9_pre_poly(k15_pre_poly(A), k4_ordinal1, k4_finseq_2(2, k15_pre_poly(A)), k21_pre_poly(A, B), E), 2))))) ) )  &  ( (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) => k1_funct_1(D, E)=k8_pre_poly(k5_finseq_2(k3_finseq_2(k15_pre_poly(A)), k3_finseq_1(k21_pre_poly(A, k7_partfun1(k15_pre_poly(A), k9_pre_poly(k15_pre_poly(A), k4_ordinal1, k4_finseq_2(2, k15_pre_poly(A)), k21_pre_poly(A, B), E), 2))), k3_pre_poly(k15_pre_poly(A), k7_partfun1(k15_pre_poly(A), k9_pre_poly(k15_pre_poly(A), k4_ordinal1, k4_finseq_2(2, k15_pre_poly(A)), k21_pre_poly(A, B), E), 1))), k21_pre_poly(A, k7_partfun1(k15_pre_poly(A), k9_pre_poly(k15_pre_poly(A), k4_ordinal1, k4_finseq_2(2, k15_pre_poly(A)), k21_pre_poly(A, B), E), 2)))) ) )  &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_finseq_1(k5_pre_poly(k4_finseq_2(3, k15_pre_poly(A)), C)), k4_finseq_1(k5_pre_poly(k4_finseq_2(3, k15_pre_poly(A)), C))) &  (v3_funct_2(E, k4_finseq_1(k5_pre_poly(k4_finseq_2(3, k15_pre_poly(A)), C)), k4_finseq_1(k5_pre_poly(k4_finseq_2(3, k15_pre_poly(A)), C))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(k5_pre_poly(k4_finseq_2(3, k15_pre_poly(A)), C)), k4_finseq_1(k5_pre_poly(k4_finseq_2(3, k15_pre_poly(A)), C)))))) ) )  =>  ~ (k5_pre_poly(k4_finseq_2(3, k15_pre_poly(A)), D)=k1_partfun1(k4_finseq_1(k5_pre_poly(k4_finseq_2(3, k15_pre_poly(A)), C)), k4_finseq_1(k5_pre_poly(k4_finseq_2(3, k15_pre_poly(A)), C)), k4_ordinal1, k4_finseq_2(3, k15_pre_poly(A)), E, k5_pre_poly(k4_finseq_2(3, k15_pre_poly(A)), C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_pre_poly, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v3_valued_0(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v3_valued_0(C)) ) ) )  => r1_tarski(k13_pre_poly(k11_pre_poly(A, B, C)), k2_xboole_0(k13_pre_poly(B), k13_pre_poly(C)))) ) ) ) ) ).
fof(t76_pre_poly, axiom,  (! [A] :  (! [B] :  ( (v1_xboole_0(B) & m1_subset_1(B, k1_zfmisc_1(A)))  =>  (! [C] :  ( (v1_partfun1(C, A) &  (v1_relat_2(C) &  (v4_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  =>  (r3_orders_1(C, B) => k7_pre_poly(A, B, C)=k1_xboole_0) ) ) ) ) ) ).
fof(t77_pre_poly, axiom,  (! [A] :  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(A)))  =>  (! [C] :  ( (v1_partfun1(C, A) &  (v1_relat_2(C) &  (v4_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  =>  (r3_orders_1(C, B) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( (r2_tarski(D, k4_finseq_1(k7_pre_poly(A, B, C))) &  (r2_tarski(E, k4_finseq_1(k7_pre_poly(A, B, C))) & k7_partfun1(A, k7_pre_poly(A, B, C), D)=k7_partfun1(A, k7_pre_poly(A, B, C), E)) )  => D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t78_pre_poly, axiom,  (! [A] :  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(A)))  =>  (! [C] :  (m1_subset_1(C, A) =>  ( ~ (r2_tarski(C, B))  =>  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(A)))  =>  (D=k2_xboole_0(k1_tarski(C), B) =>  (! [E] :  ( (v1_partfun1(E, A) &  (v1_relat_2(E) &  (v4_relat_2(E) &  (v8_relat_2(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  =>  (r3_orders_1(E, D) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  ( (r2_tarski(F, k4_finseq_1(k7_pre_poly(A, D, E))) & k7_partfun1(A, k7_pre_poly(A, D, E), F)=C)  =>  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  ( (r1_xxreal_0(1, G) & r1_xxreal_0(G, k6_xcmplx_0(F, 1)))  => k7_partfun1(A, k7_pre_poly(A, D, E), G)=k7_partfun1(A, k7_pre_poly(A, B, E), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t79_pre_poly, axiom,  (! [A] :  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(A)))  =>  (! [C] :  (m1_subset_1(C, A) =>  ( ~ (r2_tarski(C, B))  =>  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(A)))  =>  (D=k2_xboole_0(k1_tarski(C), B) =>  (! [E] :  ( (v1_partfun1(E, A) &  (v1_relat_2(E) &  (v4_relat_2(E) &  (v8_relat_2(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  =>  (r3_orders_1(E, D) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  ( (r2_tarski(F, k4_finseq_1(k7_pre_poly(A, D, E))) & k7_partfun1(A, k7_pre_poly(A, D, E), F)=C)  =>  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  ( (r1_xxreal_0(F, G) & r1_xxreal_0(G, k3_finseq_1(k7_pre_poly(A, B, E))))  => k7_partfun1(A, k7_pre_poly(A, D, E), k1_nat_1(G, 1))=k7_partfun1(A, k7_pre_poly(A, B, E), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t80_pre_poly, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(A)))  =>  (! [C] :  (m1_subset_1(C, A) =>  ( ~ (r2_tarski(C, B))  =>  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(A)))  =>  (D=k1_finsub_1(k1_zfmisc_1(A), k6_domain_1(A, C), B) =>  (! [E] :  ( (v1_partfun1(E, A) &  (v1_relat_2(E) &  (v4_relat_2(E) &  (v8_relat_2(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  =>  (r3_orders_1(E, D) =>  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  ( (r2_tarski(k1_nat_1(F, 1), k4_finseq_1(k7_pre_poly(A, D, E))) & k7_partfun1(A, k7_pre_poly(A, D, E), k1_nat_1(F, 1))=C)  => k7_pre_poly(A, D, E)=k5_finseq_5(A, k7_pre_poly(A, B, E), C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t81_pre_poly, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (k13_pre_poly(B)=k1_xboole_0 => r6_pboole(A, B, k16_pre_poly(A))) ) ) ) ).
fof(d18_pre_poly, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (v3_relat_1(B) <=> r6_pboole(A, B, k16_pre_poly(A))) ) ) ) ).
fof(t82_pre_poly, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  => r3_orders_1(k2_orders_1(A), k22_pre_poly(A, B))) ) ) ) ).
fof(s1_pre_poly, axiom,  ( (p1_s1_pre_poly(f1_s1_pre_poly) &  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (p1_s1_pre_poly(k1_nat_1(A, 1)) =>  (r1_xxreal_0(f1_s1_pre_poly, A) | p1_s1_pre_poly(A)) ) ) ) )  =>  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (r1_xxreal_0(A, f1_s1_pre_poly) => p1_s1_pre_poly(A)) ) ) ) ).
fof(s2_pre_poly, axiom,  ( (v1_finset_1(f2_s2_pre_poly) &  (p1_s2_pre_poly(k1_subset_1(f1_s2_pre_poly)) &  (! [A] :  (m1_subset_1(A, f1_s2_pre_poly) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(f1_s2_pre_poly)) =>  ( (r2_tarski(A, f2_s2_pre_poly) &  (r1_tarski(B, f2_s2_pre_poly) & p1_s2_pre_poly(B)) )  => p1_s2_pre_poly(k2_xboole_0(B, k1_tarski(A)))) ) ) ) ) ) )  => p1_s2_pre_poly(f2_s2_pre_poly)) ).
fof(dt_k1_pre_poly, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k3_finseq_2(A)) & m1_subset_1(C, k3_finseq_2(A)))  => m2_finseq_2(k1_pre_poly(A, B, C), A, k3_finseq_2(A))) ) ).
fof(redefinition_k1_pre_poly, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k3_finseq_2(A)) & m1_subset_1(C, k3_finseq_2(A)))  => k1_pre_poly(A, B, C)=k7_finseq_1(B, C)) ) ).
fof(dt_k2_pre_poly, axiom,  (! [A] :  (v1_xboole_0(k2_pre_poly(A)) & m2_finseq_2(k2_pre_poly(A), A, k3_finseq_2(A))) ) ).
fof(redefinition_k2_pre_poly, axiom,  (! [A] : k2_pre_poly(A)=k6_finseq_1(A)) ).
fof(dt_k3_pre_poly, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => m2_finseq_2(k3_pre_poly(A, B), A, k3_finseq_2(A))) ) ).
fof(redefinition_k3_pre_poly, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => k3_pre_poly(A, B)=k5_finseq_1(B)) ) ).
fof(dt_k4_pre_poly, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => m2_finseq_2(k4_pre_poly(A, B, C), A, k3_finseq_2(A))) ) ).
fof(redefinition_k4_pre_poly, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k4_pre_poly(A, B, C)=k10_finseq_1(B, C)) ) ).
fof(dt_k5_pre_poly, axiom,  (! [A, B] :  (m1_finseq_1(B, k3_finseq_2(A)) => m2_finseq_2(k5_pre_poly(A, B), A, k3_finseq_2(A))) ) ).
fof(dt_f1_s1_pre_poly, axiom, v7_ordinal1(f1_s1_pre_poly)).
fof(dt_k6_pre_poly, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_partfun1(B, A) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  & m1_subset_1(C, k1_zfmisc_1(A))) )  =>  (v1_partfun1(k6_pre_poly(A, B, C), C) &  (v1_relat_2(k6_pre_poly(A, B, C)) &  (v4_relat_2(k6_pre_poly(A, B, C)) &  (v8_relat_2(k6_pre_poly(A, B, C)) & m1_subset_1(k6_pre_poly(A, B, C), k1_zfmisc_1(k2_zfmisc_1(C, C)))) ) ) ) ) ) ).
fof(redefinition_k6_pre_poly, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_partfun1(B, A) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  & m1_subset_1(C, k1_zfmisc_1(A))) )  => k6_pre_poly(A, B, C)=k2_wellord1(B, C)) ) ).
fof(dt_f2_s2_pre_poly, axiom, m1_subset_1(f2_s2_pre_poly, k1_zfmisc_1(f1_s2_pre_poly))).
fof(dt_k7_pre_poly, axiom,  (! [A, B, C] :  ( ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(A)))  &  (v1_partfun1(C, A) &  (v1_relat_2(C) &  (v4_relat_2(C) &  (v8_relat_2(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) )  => m2_finseq_1(k7_pre_poly(A, B, C), A)) ) ).
fof(dt_m1_pre_poly, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k5_finsub_1(A))))  =>  (! [C] :  (m1_pre_poly(C, A, B) => m1_subset_1(C, k1_zfmisc_1(A))) ) ) ) ).
fof(existence_m1_pre_poly, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k5_finsub_1(A))))  =>  (? [C] : m1_pre_poly(C, A, B)) ) ) ).
fof(redefinition_m1_pre_poly, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k5_finsub_1(A))))  =>  (! [C] :  (m1_pre_poly(C, A, B) <=> m1_subset_1(C, B)) ) ) ) ).
fof(dt_k8_pre_poly, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_pre_poly(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_pre_poly(B)) ) )  =>  (v1_relat_1(k8_pre_poly(A, B)) & v1_funct_1(k8_pre_poly(A, B))) ) ) ).
fof(dt_k9_pre_poly, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v1_xboole_0(C))  & m1_finseq_2(C, A))  &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  => m2_finseq_2(k9_pre_poly(A, B, C, D, E), A, C)) ) ).
fof(redefinition_k9_pre_poly, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v1_xboole_0(C))  & m1_finseq_2(C, A))  &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  => k9_pre_poly(A, B, C, D, E)=k7_partfun1(C, D, E)) ) ).
fof(dt_k10_pre_poly, axiom,  (! [A, B] :  (m1_finseq_1(B, k3_finseq_2(A)) =>  (v1_card_3(k10_pre_poly(A, B)) & m2_finseq_1(k10_pre_poly(A, B), k4_ordinal1)) ) ) ).
fof(redefinition_k10_pre_poly, axiom,  (! [A, B] :  (m1_finseq_1(B, k3_finseq_2(A)) => k10_pre_poly(A, B)=k1_card_3(B)) ) ).
fof(dt_k11_pre_poly, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_valued_0(B)) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v1_valued_0(C)) ) ) ) )  =>  (v1_relat_1(k11_pre_poly(A, B, C)) &  (v4_relat_1(k11_pre_poly(A, B, C), A) &  (v1_funct_1(k11_pre_poly(A, B, C)) & v1_partfun1(k11_pre_poly(A, B, C), A)) ) ) ) ) ).
fof(commutativity_k11_pre_poly, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_valued_0(B)) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v1_valued_0(C)) ) ) ) )  => k11_pre_poly(A, B, C)=k11_pre_poly(A, C, B)) ) ).
fof(redefinition_k11_pre_poly, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_valued_0(B)) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v1_valued_0(C)) ) ) ) )  => k11_pre_poly(A, B, C)=k1_valued_1(B, C)) ) ).
fof(dt_k12_pre_poly, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v4_valued_0(B)) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) & v4_valued_0(C)) ) ) ) )  =>  (v1_relat_1(k12_pre_poly(A, B, C)) &  (v4_relat_1(k12_pre_poly(A, B, C), A) &  (v1_funct_1(k12_pre_poly(A, B, C)) & v1_partfun1(k12_pre_poly(A, B, C), A)) ) ) ) ) ).
fof(asymmetry_r1_pre_poly, axiom,  (! [A, B, C] :  ( (v3_ordinal1(A) &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) ) ) )  =>  (r1_pre_poly(A, B, C) =>  ~ (r1_pre_poly(A, C, B)) ) ) ) ).
fof(reflexivity_r2_pre_poly, axiom,  (! [A, B, C] :  ( (v3_ordinal1(A) &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) ) ) )  => r2_pre_poly(A, B, B)) ) ).
fof(reflexivity_r3_pre_poly, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) ) )  => r3_pre_poly(A, B, B)) ) ).
fof(dt_k15_pre_poly, axiom,  (! [A] : m1_subset_1(k15_pre_poly(A), k1_zfmisc_1(k14_pre_poly(A)))) ).
fof(redefinition_k15_pre_poly, axiom,  (! [A] : k15_pre_poly(A)=k14_pre_poly(A)) ).
fof(dt_k16_pre_poly, axiom,  (! [A] : m2_subset_1(k16_pre_poly(A), k14_pre_poly(A), k15_pre_poly(A))) ).
fof(redefinition_k16_pre_poly, axiom,  (! [A] : k16_pre_poly(A)=k1_pboole(A)) ).
fof(dt_k17_pre_poly, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_partfun1(k17_pre_poly(A), k15_pre_poly(A)) &  (v1_relat_2(k17_pre_poly(A)) &  (v4_relat_2(k17_pre_poly(A)) &  (v8_relat_2(k17_pre_poly(A)) & m1_subset_1(k17_pre_poly(A), k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), k15_pre_poly(A))))) ) ) ) ) ) ).
fof(dt_k18_pre_poly, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) )  => m1_subset_1(k18_pre_poly(A, B), k1_zfmisc_1(k9_funct_2(A, k4_ordinal1)))) ) ).
fof(dt_k19_pre_poly, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) &  (v2_pre_poly(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) ) )  => m1_subset_1(k19_pre_poly(A, B), k5_finsub_1(A))) ) ).
fof(redefinition_k19_pre_poly, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) &  (v2_pre_poly(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) ) )  => k19_pre_poly(A, B)=k13_pre_poly(B)) ) ).
fof(dt_k20_pre_poly, axiom,  (! [A, B] :  ( (v3_ordinal1(A) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) ) )  => m2_finseq_1(k20_pre_poly(A, B), k15_pre_poly(A))) ) ).
fof(dt_k21_pre_poly, axiom,  (! [A, B] :  ( (v3_ordinal1(A) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) ) )  => m2_finseq_1(k21_pre_poly(A, B), k4_finseq_2(2, k15_pre_poly(A)))) ) ).
fof(redefinition_v3_pre_poly, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (v3_pre_poly(B, A) <=> v3_relat_1(B)) ) ) ).
fof(dt_k22_pre_poly, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (v1_finset_1(k22_pre_poly(A, B)) & m1_subset_1(k22_pre_poly(A, B), k1_zfmisc_1(A))) ) ) ).
fof(redefinition_k22_pre_poly, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  => k22_pre_poly(A, B)=k13_pre_poly(B)) ) ).
fof(dt_k23_pre_poly, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, A) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) ) )  =>  (v1_funct_1(k23_pre_poly(A, B, C)) & m1_subset_1(k23_pre_poly(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) ) ).
fof(redefinition_k23_pre_poly, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, A) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) ) )  => k23_pre_poly(A, B, C)=k3_relat_1(B, C)) ) ).
fof(rc1_pre_topc, axiom,  (? [A] :  (l1_pre_topc(A) & v1_pre_topc(A)) ) ).
fof(rc2_pre_topc, axiom,  (? [A] :  (l1_pre_topc(A) &  ( ~ (v2_struct_0(A))  &  (v1_pre_topc(A) & v2_pre_topc(A)) ) ) ) ).
fof(fc1_pre_topc, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  ~ (v1_xboole_0(u1_pre_topc(A))) ) ) ).
fof(rc3_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (? [B] :  (m1_pre_topc(B, A) & v1_pre_topc(B)) ) ) ) ).
fof(rc4_pre_topc, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (? [B] :  (m1_pre_topc(B, A) &  ( ~ (v2_struct_0(B))  & v1_pre_topc(B)) ) ) ) ) ).
fof(cc1_pre_topc, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_pre_topc(B, A) => v2_pre_topc(B)) ) ) ) ).
fof(fc2_pre_topc, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  ( ~ (v2_struct_0(k1_pre_topc(A, B)))  & v1_pre_topc(k1_pre_topc(A, B))) ) ) ).
fof(rc5_pre_topc, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (? [B] :  (m1_pre_topc(B, A) &  (v1_pre_topc(B) & v2_pre_topc(B)) ) ) ) ) ).
fof(fc3_pre_topc, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_pre_topc(k1_pre_topc(A, B)) & v2_pre_topc(k1_pre_topc(A, B))) ) ) ).
fof(fc4_pre_topc, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => v4_pre_topc(k2_struct_0(A), A)) ) ).
fof(rc6_pre_topc, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v4_pre_topc(B, A)) ) ) ) ).
fof(rc7_pre_topc, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  & v4_pre_topc(B, A)) ) ) ) ) ).
fof(cc2_pre_topc, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_xboole_0(B) => v4_pre_topc(B, A)) ) ) ) ) ).
fof(fc5_pre_topc, axiom,  (! [A, B, C] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  &  ( ( ~ (v2_struct_0(B))  & l1_pre_topc(B))  & m1_subset_1(C, u1_struct_0(B))) )  =>  (v1_funct_1(k6_struct_0(A, B, C)) &  (v1_funct_2(k6_struct_0(A, B, C), u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(k6_struct_0(A, B, C), A, B)) ) ) ) ).
fof(rc8_pre_topc, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  &  ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(cc3_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v11_pre_topc(A) =>  (v7_pre_topc(A) & v9_pre_topc(A)) ) ) ) ).
fof(cc4_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( (v7_pre_topc(A) & v9_pre_topc(A))  => v11_pre_topc(A)) ) ) ).
fof(cc5_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v12_pre_topc(A) =>  (v7_pre_topc(A) & v10_pre_topc(A)) ) ) ) ).
fof(cc6_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( (v7_pre_topc(A) & v10_pre_topc(A))  => v12_pre_topc(A)) ) ) ).
fof(rc9_pre_topc, axiom,  (? [A] :  (l1_pre_topc(A) &  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v7_pre_topc(A)) ) ) ) ).
fof(cc7_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v7_pre_topc(A) => v6_pre_topc(A)) ) ) ).
fof(cc8_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v8_pre_topc(A) => v7_pre_topc(A)) ) ) ).
fof(fc6_pre_topc, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (v1_pre_topc(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) & v2_pre_topc(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)))) ) ) ).
fof(fc7_pre_topc, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  ( ~ (v2_struct_0(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))))  & v1_pre_topc(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)))) ) ) ).
fof(rc10_pre_topc, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v3_pre_topc(B, A)) ) ) ) ).
fof(fc8_pre_topc, axiom,  (! [A, B] :  ( (l1_pre_topc(A) &  (v1_xboole_0(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (v2_struct_0(k1_pre_topc(A, B)) & v1_pre_topc(k1_pre_topc(A, B))) ) ) ).
fof(rc11_pre_topc, axiom,  (? [A] :  (l1_pre_topc(A) &  (v2_struct_0(A) & v1_pre_topc(A)) ) ) ).
fof(fc9_pre_topc, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  ( ~ (v2_struct_0(g1_pre_topc(A, B)))  & v1_pre_topc(g1_pre_topc(A, B))) ) ) ).
fof(cc9_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v2_struct_0(A) => v6_pre_topc(A)) ) ) ).
fof(rc12_pre_topc, axiom,  (? [A] :  (l1_pre_topc(A) &  (v2_struct_0(A) &  (v1_pre_topc(A) & v2_pre_topc(A)) ) ) ) ).
fof(d1_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v2_pre_topc(A) <=>  (r2_tarski(u1_struct_0(A), u1_pre_topc(A)) &  ( (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (r1_tarski(B, u1_pre_topc(A)) => r2_tarski(k5_setfam_1(u1_struct_0(A), B), u1_pre_topc(A))) ) )  &  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r2_tarski(B, u1_pre_topc(A)) & r2_tarski(C, u1_pre_topc(A)))  => r2_tarski(k9_subset_1(u1_struct_0(A), B, C), u1_pre_topc(A))) ) ) ) ) ) ) ) ) ) ).
fof(t1_pre_topc, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => r2_tarski(k1_xboole_0, u1_pre_topc(A))) ) ).
fof(t2_pre_topc, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k4_subset_1(u1_struct_0(A), B, k3_subset_1(u1_struct_0(A), B))=k2_struct_0(A)) ) ) ) ).
fof(t3_pre_topc, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k7_subset_1(u1_struct_0(A), k2_struct_0(A), k7_subset_1(u1_struct_0(A), k2_struct_0(A), B))=B) ) ) ) ).
fof(t4_pre_topc, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ~ ( ( ~ (B=k2_struct_0(A))  & k7_subset_1(u1_struct_0(A), k2_struct_0(A), B)=k1_xboole_0) )  &  ~ ( ( ~ (k7_subset_1(u1_struct_0(A), k2_struct_0(A), B)=k1_xboole_0)  & B=k2_struct_0(A)) ) ) ) ) ) ) ).
fof(t5_pre_topc, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (k2_struct_0(A)=k4_subset_1(u1_struct_0(A), B, C) & r1_xboole_0(B, C))  => C=k7_subset_1(u1_struct_0(A), k2_struct_0(A), B)) ) ) ) ) ) ) ).
fof(t6_pre_topc, axiom,  (! [A] :  (l1_struct_0(A) => k2_struct_0(A)=k3_subset_1(u1_struct_0(A), k1_struct_0(A))) ) ).
fof(d2_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_pre_topc(B, A) <=> r2_tarski(B, u1_pre_topc(A))) ) ) ) ) ).
fof(d3_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v4_pre_topc(B, A) <=> v3_pre_topc(k7_subset_1(u1_struct_0(A), k2_struct_0(A), B), A)) ) ) ) ) ).
fof(d4_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (l1_pre_topc(B) =>  (m1_pre_topc(B, A) <=>  (r1_tarski(k2_struct_0(B), k2_struct_0(A)) &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (r2_tarski(C, u1_pre_topc(B)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) &  (r2_tarski(D, u1_pre_topc(A)) & C=k9_subset_1(u1_struct_0(B), D, k2_struct_0(B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v1_pre_topc(C) & m1_pre_topc(C, A))  =>  (C=k1_pre_topc(A, B) <=> k2_struct_0(C)=B) ) ) ) ) ) ) ).
fof(t7_pre_topc, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k1_pre_topc(A, C)))) =>  ( (B=D & r1_tarski(B, C))  => k1_pre_topc(A, B)=k1_pre_topc(k1_pre_topc(A, C), D)) ) ) ) ) ) ) ) ) ).
fof(t8_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => u1_struct_0(k1_pre_topc(A, B))=B) ) ) ) ).
fof(t9_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_pre_topc(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_funct_1(k5_relset_1(u1_struct_0(A), u1_struct_0(B), C, D)) &  (v1_funct_2(k5_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), u1_struct_0(k1_pre_topc(A, D)), u1_struct_0(B)) & m1_subset_1(k5_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(A, D)), u1_struct_0(B))))) ) ) ) ) ) ) ) ) ) ).
fof(d6_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (l1_pre_topc(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v5_pre_topc(C, A, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (v4_pre_topc(D, B) => v4_pre_topc(k8_relset_1(u1_struct_0(A), u1_struct_0(B), C, D), A)) ) ) ) ) ) ) ) ) ) ).
fof(t10_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (l1_pre_topc(B) =>  (! [C] :  (l1_pre_topc(C) =>  (! [D] :  (l1_pre_topc(D) =>  ( (g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))=g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)) &  (g1_pre_topc(u1_struct_0(C), u1_pre_topc(C))=g1_pre_topc(u1_struct_0(D), u1_pre_topc(D)) & m1_pre_topc(C, A)) )  => m1_pre_topc(D, B)) ) ) ) ) ) ) ) ) ).
fof(t11_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_pre_topc(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) => m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ).
fof(t12_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( ~ (B=k1_struct_0(A))  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ (r2_tarski(C, B)) ) ) ) ) ) ) ) ) ).
fof(t13_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_pre_topc(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (v4_pre_topc(C, B) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) &  (v4_pre_topc(D, A) & k9_subset_1(u1_struct_0(B), D, k2_struct_0(B))=C) ) ) ) ) ) ) ) ) ) ).
fof(t14_pre_topc, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ( (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(C, B) => v4_pre_topc(C, A)) ) )  => v4_pre_topc(k6_setfam_1(u1_struct_0(A), B), A)) ) ) ) ) ).
fof(d7_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (C=k2_pre_topc(A, B) <=>  (! [D] :  (r2_tarski(D, u1_struct_0(A)) =>  (r2_tarski(D, C) <=>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v3_pre_topc(E, A) &  (r2_tarski(D, E) & r1_xboole_0(B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (r2_tarski(C, u1_struct_0(A)) =>  (r2_tarski(C, k2_pre_topc(A, B)) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v4_pre_topc(D, A) & r1_tarski(B, D))  => r2_tarski(C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t16_pre_topc, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) &  ( (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(D, C) <=>  (v4_pre_topc(D, A) & r1_tarski(B, D)) ) ) )  & k2_pre_topc(A, B)=k6_setfam_1(u1_struct_0(A), C)) ) ) ) ) ) ) ).
fof(t17_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_pre_topc(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (C=D => k2_pre_topc(B, D)=k9_subset_1(u1_struct_0(B), k2_pre_topc(A, C), k2_struct_0(B))) ) ) ) ) ) ) ) ) ).
fof(t18_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(B, k2_pre_topc(A, B))) ) ) ) ).
fof(t19_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(B, C) => r1_tarski(k2_pre_topc(A, B), k2_pre_topc(A, C))) ) ) ) ) ) ) ).
fof(t20_pre_topc, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k2_pre_topc(A, k4_subset_1(u1_struct_0(A), B, C))=k4_subset_1(u1_struct_0(A), k2_pre_topc(A, B), k2_pre_topc(A, C))) ) ) ) ) ) ).
fof(t21_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k2_pre_topc(A, k9_subset_1(u1_struct_0(A), B, C)), k9_subset_1(u1_struct_0(A), k2_pre_topc(A, B), k2_pre_topc(A, C)))) ) ) ) ) ) ).
fof(t22_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v4_pre_topc(B, A) => k2_pre_topc(A, B)=B)  &  ( (v2_pre_topc(A) & k2_pre_topc(A, B)=B)  => v4_pre_topc(B, A)) ) ) ) ) ) ).
fof(t23_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v3_pre_topc(B, A) => k2_pre_topc(A, k7_subset_1(u1_struct_0(A), k2_struct_0(A), B))=k7_subset_1(u1_struct_0(A), k2_struct_0(A), B))  &  ( (v2_pre_topc(A) & k2_pre_topc(A, k7_subset_1(u1_struct_0(A), k2_struct_0(A), B))=k7_subset_1(u1_struct_0(A), k2_struct_0(A), B))  => v3_pre_topc(B, A)) ) ) ) ) ) ).
fof(t24_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, k2_pre_topc(A, B)) <=>  ( ~ (v2_struct_0(A))  &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v3_pre_topc(D, A) &  (r2_tarski(C, D) & r1_xboole_0(B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_pre_topc, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & m1_pre_topc(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => m1_subset_1(C, u1_struct_0(A))) ) ) ) ) ) ).
fof(t26_pre_topc, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (! [C] :  ( (v2_pre_topc(C) & l1_pre_topc(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C))))) )  =>  ( (v5_pre_topc(D, A, C) & m1_pre_topc(C, B))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (E=D => v5_pre_topc(E, A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_pre_topc, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  (m1_pre_topc(D, B) =>  (v5_pre_topc(C, A, B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(D))))) )  =>  (E=C => v5_pre_topc(E, A, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v6_pre_topc(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_pre_topc(D, A) =>  (r2_tarski(B, D) <=> r2_tarski(C, D)) ) ) )  => B=C) ) ) ) ) ) ) ) ).
fof(d9_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v7_pre_topc(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v3_pre_topc(D, A) &  (r2_tarski(B, D) & r2_tarski(C, k3_subset_1(u1_struct_0(A), D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v8_pre_topc(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v3_pre_topc(D, A) &  (v3_pre_topc(E, A) &  (r2_tarski(B, D) &  (r2_tarski(C, E) & r1_xboole_0(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v9_pre_topc(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v4_pre_topc(C, A) &  (r2_tarski(B, k3_subset_1(u1_struct_0(A), C)) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v3_pre_topc(D, A) &  (v3_pre_topc(E, A) &  (r2_tarski(B, D) &  (r1_tarski(C, E) & r1_xboole_0(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v10_pre_topc(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v4_pre_topc(B, A) &  (v4_pre_topc(C, A) &  (r1_xboole_0(B, C) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v3_pre_topc(D, A) &  (v3_pre_topc(E, A) &  (r1_tarski(B, D) &  (r1_tarski(C, E) & r1_xboole_0(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v11_pre_topc(A) <=>  (v7_pre_topc(A) & v9_pre_topc(A)) ) ) ) ).
fof(d14_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v12_pre_topc(A) <=>  (v7_pre_topc(A) & v10_pre_topc(A)) ) ) ) ).
fof(t28_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v2_pre_topc(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) => v2_pre_topc(A)) ) ) ).
fof(t29_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_pre_topc(B, g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) => m1_pre_topc(B, A)) ) ) ) ).
fof(t30_pre_topc, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v3_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  <=>  (v3_pre_topc(B, g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)))))) ) ) ) ) ).
fof(t31_pre_topc, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v4_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  <=>  (v4_pre_topc(B, g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)))))) ) ) ) ) ).
fof(t32_pre_topc, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))), u1_struct_0(B))))) )  =>  (C=D =>  (v5_pre_topc(C, A, B) <=> v5_pre_topc(D, g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)), B)) ) ) ) ) ) ) ) ) ) ).
fof(t33_pre_topc, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))))))) )  =>  (C=D =>  (v5_pre_topc(C, A, B) <=> v5_pre_topc(D, A, g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) ) ) ) ) ) ) ) ) ) ).
fof(t34_pre_topc, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))), u1_struct_0(g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))), u1_struct_0(g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))))))) )  =>  (C=D =>  (v5_pre_topc(C, A, B) <=> v5_pre_topc(D, g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)), g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) ) ) ) ) ) ) ) ) ) ).
fof(t35_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (l1_pre_topc(B) =>  (m1_pre_topc(A, B) <=> m1_pre_topc(A, g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) ) ) ) ) ).
fof(t36_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))))) =>  (B=C => g1_pre_topc(u1_struct_0(k1_pre_topc(A, B)), u1_pre_topc(k1_pre_topc(A, B)))=k1_pre_topc(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)), C)) ) ) ) ) ) ) ).
fof(abstractness_v1_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v1_pre_topc(A) => A=g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) ) ) ).
fof(dt_l1_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) => l1_struct_0(A)) ) ).
fof(existence_l1_pre_topc, axiom,  (? [A] : l1_pre_topc(A)) ).
fof(dt_g1_pre_topc, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (v1_pre_topc(g1_pre_topc(A, B)) & l1_pre_topc(g1_pre_topc(A, B))) ) ) ).
fof(free_g1_pre_topc, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [C, D] :  (g1_pre_topc(A, B)=g1_pre_topc(C, D) =>  (A=C & B=D) ) ) ) ) ).
fof(dt_u1_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) => m1_subset_1(u1_pre_topc(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_m1_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_pre_topc(B, A) => l1_pre_topc(B)) ) ) ) ).
fof(existence_m1_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (? [B] : m1_pre_topc(B, A)) ) ) ).
fof(dt_k1_pre_topc, axiom,  (! [A, B] :  ( (l1_pre_topc(A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_pre_topc(k1_pre_topc(A, B)) & m1_pre_topc(k1_pre_topc(A, B), A)) ) ) ).
fof(dt_k2_pre_topc, axiom,  (! [A, B] :  ( (l1_pre_topc(A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k2_pre_topc(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(projectivity_k2_pre_topc, axiom,  (! [A, B] :  ( (l1_pre_topc(A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => k2_pre_topc(A, k2_pre_topc(A, B))=k2_pre_topc(A, B)) ) ).
fof(cc1_prefer_1, axiom,  (! [A] :  (v3_card_1(A, 2) =>  ~ (v1_xboole_0(A)) ) ) ).
fof(rc1_prefer_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, A) &  (v1_partfun1(B, A) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v6_relat_2(B) &  (v8_relat_2(B) & v3_orders_1(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_prefer_1, axiom,  (! [A, B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => v1_partfun1(k1_prefer_1(A, B), A)) ) ).
fof(fc2_prefer_1, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) => v3_relat_2(k1_prefer_1(A, B))) ) ).
fof(rc2_prefer_1, axiom,  (? [A] :  (l1_prefer_1(A) & v1_prefer_1(A)) ) ).
fof(rc3_prefer_1, axiom,  (? [A] :  (l2_prefer_1(A) & v2_prefer_1(A)) ) ).
fof(rc4_prefer_1, axiom,  (? [A] :  (l3_prefer_1(A) & v3_prefer_1(A)) ) ).
fof(rc5_prefer_1, axiom,  (? [A] :  (l2_prefer_1(A) &  ( ~ (v2_struct_0(A))  & v2_prefer_1(A)) ) ) ).
fof(rc6_prefer_1, axiom,  (? [A] :  (l2_prefer_1(A) &  (v2_struct_0(A) & v2_prefer_1(A)) ) ) ).
fof(rc7_prefer_1, axiom,  (? [A] :  (l1_prefer_1(A) &  ( ~ (v2_struct_0(A))  & v1_prefer_1(A)) ) ) ).
fof(rc8_prefer_1, axiom,  (? [A] :  (l1_prefer_1(A) &  (v2_struct_0(A) & v1_prefer_1(A)) ) ) ).
fof(rc9_prefer_1, axiom,  (? [A] :  (l2_prefer_1(A) &  ( ~ (v2_struct_0(A))  & v2_prefer_1(A)) ) ) ).
fof(rc10_prefer_1, axiom,  (? [A] :  (l3_prefer_1(A) &  ( ~ (v2_struct_0(A))  & v3_prefer_1(A)) ) ) ).
fof(fc3_prefer_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k2_prefer_1(A)))  &  (v3_prefer_1(k2_prefer_1(A)) & v4_prefer_1(k2_prefer_1(A))) ) ) ) ).
fof(rc11_prefer_1, axiom,  (? [A] :  (l3_prefer_1(A) &  ( ~ (v2_struct_0(A))  &  (v3_prefer_1(A) & v4_prefer_1(A)) ) ) ) ).
fof(cc2_prefer_1, axiom,  (! [A] :  (l3_prefer_1(A) =>  (v2_struct_0(A) => v4_prefer_1(A)) ) ) ).
fof(fc4_prefer_1, axiom,  (v2_struct_0(k2_prefer_1(k1_xboole_0)) &  (v3_prefer_1(k2_prefer_1(k1_xboole_0)) & v4_prefer_1(k2_prefer_1(k1_xboole_0))) ) ).
fof(rc12_prefer_1, axiom,  (? [A] :  (l3_prefer_1(A) &  (v2_struct_0(A) & v4_prefer_1(A)) ) ) ).
fof(fc5_prefer_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_zfmisc_1(A))  =>  (v7_struct_0(k2_prefer_1(A)) & v3_prefer_1(k2_prefer_1(A))) ) ) ).
fof(fc6_prefer_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_zfmisc_1(A))  =>  ( ~ (v2_struct_0(k2_prefer_1(A)))  &  (v3_prefer_1(k2_prefer_1(A)) & v4_prefer_1(k2_prefer_1(A))) ) ) ) ).
fof(fc7_prefer_1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  (v3_prefer_1(k3_prefer_1(A)) &  ~ (v4_prefer_1(k3_prefer_1(A))) ) ) ) ).
fof(rc13_prefer_1, axiom,  (? [A] :  (l2_prefer_1(A) &  ( ~ (v2_struct_0(A))  &  (v2_prefer_1(A) & v5_prefer_1(A)) ) ) ) ).
fof(rc14_prefer_1, axiom,  (? [A] :  (l2_prefer_1(A) &  (v2_struct_0(A) &  (v7_struct_0(A) &  (v8_struct_0(A) &  (v13_struct_0(A, k5_ordinal1) &  (v2_prefer_1(A) & v5_prefer_1(A)) ) ) ) ) ) ) ).
fof(fc8_prefer_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_partfun1(B, A) &  (v1_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (v2_relat_2(k7_prefer_1(A, B)) & v3_relat_2(k7_prefer_1(A, B))) ) ) ).
fof(fc9_prefer_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  ( ~ (v2_struct_0(k8_prefer_1(A, B)))  & v3_prefer_1(k8_prefer_1(A, B))) ) ) ).
fof(fc10_prefer_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_partfun1(B, A) &  (v1_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (v3_prefer_1(k8_prefer_1(A, B)) & v4_prefer_1(k8_prefer_1(A, B))) ) ) ).
fof(fc11_prefer_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_zfmisc_1(A))  =>  ( ~ (v2_struct_0(k3_prefer_1(A)))  &  (v3_prefer_1(k3_prefer_1(A)) & v4_prefer_1(k3_prefer_1(A))) ) ) ) ).
fof(fc12_prefer_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_zfmisc_1(A))  =>  (v3_prefer_1(k3_prefer_1(A)) & v6_prefer_1(k3_prefer_1(A))) ) ) ).
fof(cc3_prefer_1, axiom,  (! [A] :  (l3_prefer_1(A) =>  (v2_struct_0(A) => v7_prefer_1(A)) ) ) ).
fof(cc4_prefer_1, axiom,  (! [A] :  (l3_prefer_1(A) =>  (v7_prefer_1(A) => v1_yellow_3(A)) ) ) ).
fof(rc15_prefer_1, axiom,  (? [A] :  (l3_prefer_1(A) &  (v2_struct_0(A) &  (v7_struct_0(A) &  (v8_struct_0(A) &  (v13_struct_0(A, k5_ordinal1) &  (v1_yellow_3(A) &  (v4_prefer_1(A) & v7_prefer_1(A)) ) ) ) ) ) ) ) ).
fof(rc16_prefer_1, axiom,  (? [A] :  (l3_prefer_1(A) &  ( ~ (v2_struct_0(A))  &  (v4_prefer_1(A) & v7_prefer_1(A)) ) ) ) ).
fof(cc5_prefer_1, axiom,  (! [A] :  (l3_prefer_1(A) =>  (v8_prefer_1(A) => v1_yellow_3(A)) ) ) ).
fof(cc6_prefer_1, axiom,  (! [A] :  (l3_prefer_1(A) =>  (v8_prefer_1(A) => v7_prefer_1(A)) ) ) ).
fof(fc13_prefer_1, axiom,  (v3_prefer_1(k2_prefer_1(k1_xboole_0)) & v8_prefer_1(k2_prefer_1(k1_xboole_0))) ).
fof(fc14_prefer_1, axiom,  (! [A] :  (v3_prefer_1(k3_prefer_1(A)) & v8_prefer_1(k3_prefer_1(A))) ) ).
fof(fc15_prefer_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_zfmisc_1(A))  =>  (v3_prefer_1(k2_prefer_1(A)) & v8_prefer_1(k2_prefer_1(A))) ) ) ).
fof(rc17_prefer_1, axiom,  (? [A] :  (l3_prefer_1(A) &  (v2_struct_0(A) &  (v7_struct_0(A) &  (v8_struct_0(A) &  (v13_struct_0(A, k5_ordinal1) &  (v1_yellow_3(A) &  (v4_prefer_1(A) &  (v7_prefer_1(A) & v8_prefer_1(A)) ) ) ) ) ) ) ) ) ).
fof(rc18_prefer_1, axiom,  (? [A] :  (l3_prefer_1(A) &  ( ~ (v2_struct_0(A))  &  (v4_prefer_1(A) & v8_prefer_1(A)) ) ) ) ).
fof(d1_prefer_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r1_prefer_1(A, B, C) <=>  (r1_xboole_0(A, B) &  (r1_xboole_0(B, C) & r1_xboole_0(A, C)) ) ) ) ) ) ).
fof(t1_prefer_1, axiom,  (! [A] : r1_prefer_1(k1_xboole_0, A, k1_xboole_0)) ).
fof(t2_prefer_1, axiom,  (! [A] :  (! [B] :  ~ ( ( ~ (A=B)  & k2_tarski(k4_tarski(A, A), k4_tarski(B, B))=k2_enumset1(k4_tarski(A, A), k4_tarski(A, B), k4_tarski(B, A), k4_tarski(B, B))) ) ) ) ).
fof(t3_prefer_1, axiom,  (! [A] :  (v3_card_1(A, 2) =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  ( ~ (B=C)  => A=k7_domain_1(A, B, C)) ) ) ) ) ) ) ).
fof(t4_prefer_1, axiom,  (! [A] :  (v3_card_1(A, 2) =>  (? [B] :  (m1_subset_1(B, A) &  (? [C] :  (m1_subset_1(C, A) &  ( ~ (B=C)  & A=k7_domain_1(A, B, C)) ) ) ) ) ) ) ).
fof(t5_prefer_1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ ( (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) => B=C) ) ) ) ) ) ) ).
fof(t6_prefer_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k2_xboole_0(k2_xboole_0(k1_tarski(A), k1_tarski(B)), k2_tarski(C, D))=k2_enumset1(C, A, B, D)) ) ) ) ).
fof(t7_prefer_1, axiom,  (! [A] :  (! [B] :  ( ~ (A=B)  => r1_subset_1(k2_tarski(k4_tarski(A, A), k4_tarski(B, B)), k2_tarski(k4_tarski(A, B), k4_tarski(B, A)))) ) ) ).
fof(t8_prefer_1, axiom,  (! [A] :  (v3_card_1(A, 2) =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  ( ~ (B=C)  => r2_relset_1(A, A, k6_partfun1(A), k7_domain_1(k2_zfmisc_1(A, A), k1_domain_1(A, A, B, B), k1_domain_1(A, A, C, C)))) ) ) ) ) ) ) ).
fof(t9_prefer_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  (C=k1_tarski(k4_tarski(A, B)) => k2_relat_1(C)=k1_tarski(k4_tarski(B, A))) ) ) ) ) ).
fof(t10_prefer_1, axiom,  (! [A] :  (! [B] :  ( ~ (A=B)  <=> r1_subset_1(k1_tarski(k4_tarski(A, B)), k2_tarski(k4_tarski(A, A), k4_tarski(B, B)))) ) ) ).
fof(t11_prefer_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  ( ~ (r2_tarski(k1_domain_1(A, A, C, D), k3_subset_1(k2_zfmisc_1(A, A), B)))  => r2_tarski(k1_domain_1(A, A, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t12_prefer_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) => r1_prefer_1(k2_eqrel_1(A, B, k3_subset_1(k2_zfmisc_1(A, A), k3_relset_1(A, A, B))), k2_eqrel_1(A, B, k3_relset_1(A, A, B)), k2_eqrel_1(A, k3_subset_1(k2_zfmisc_1(A, A), B), k3_subset_1(k2_zfmisc_1(A, A), k3_relset_1(A, A, B))))) ) ) ) ).
fof(t13_prefer_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (r1_xboole_0(A, B) => r1_xboole_0(k2_relat_1(A), k2_relat_1(B))) ) ) ) ) ).
fof(t14_prefer_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) => r2_relset_1(A, A, B, k3_subset_1(k2_zfmisc_1(A, A), k3_relset_1(A, A, k3_subset_1(k2_zfmisc_1(A, A), k3_relset_1(A, A, B)))))) ) ) ) ).
fof(t15_prefer_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) => r2_relset_1(A, A, k3_relset_1(A, A, B), k3_subset_1(k2_zfmisc_1(A, A), k3_relset_1(A, A, k3_subset_1(k2_zfmisc_1(A, A), B))))) ) ) ) ).
fof(t16_prefer_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) => r2_relset_1(A, A, k3_relset_1(A, A, k3_subset_1(k2_zfmisc_1(A, A), k3_relset_1(A, A, B))), k3_subset_1(k2_zfmisc_1(A, A), B))) ) ) ) ).
fof(t17_prefer_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) &  (v1_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  => v1_partfun1(k3_relset_1(A, A, B), A)) ) ) ) ).
fof(t18_prefer_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => k1_pcs_0(A, A, B)=A) ) ) ) ).
fof(t19_prefer_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v2_relat_2(A) <=>  (! [B] :  ~ ( (r2_hidden(B, k1_relat_1(A)) & r2_hidden(k4_tarski(B, B), A)) ) ) ) ) ) ).
fof(t20_prefer_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v3_relat_2(A) <=>  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(B, C), A) => r2_hidden(k4_tarski(C, B), A)) ) ) ) ) ) ).
fof(t21_prefer_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) => v3_relat_2(k2_eqrel_1(A, B, k3_relset_1(A, A, B)))) ) ) ).
fof(t22_prefer_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v5_relat_2(A) <=>  (! [B] :  (! [C] :  ~ ( (r2_hidden(k4_tarski(B, C), A) & r2_hidden(k4_tarski(C, B), A)) ) ) ) ) ) ) ).
fof(t23_prefer_1, axiom,  (! [A] :  (! [B] :  ( ~ (A=B)  => v5_relat_2(k1_tarski(k4_tarski(A, B)))) ) ) ).
fof(t24_prefer_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) => v5_relat_2(k2_eqrel_1(A, B, k3_subset_1(k2_zfmisc_1(A, A), k3_relset_1(A, A, B))))) ) ) ) ).
fof(t25_prefer_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) &  (v1_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  => v1_relat_2(k2_eqrel_1(A, B, k3_relset_1(A, A, B)))) ) ) ) ).
fof(t26_prefer_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) &  (v1_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  => v1_partfun1(k2_eqrel_1(A, B, k3_relset_1(A, A, B)), A)) ) ) ) ).
fof(t27_prefer_1, axiom,  (! [A] :  (! [B] :  ( ~ (A=B)  =>  (v2_relat_2(k2_tarski(k4_tarski(A, B), k4_tarski(B, A))) & v3_relat_2(k2_tarski(k4_tarski(A, B), k4_tarski(B, A)))) ) ) ) ).
fof(t28_prefer_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) => v1_partfun1(k2_pcs_0(A, A, A, A, B, C), A)) ) ) ) ) ) ).
fof(t29_prefer_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) &  (v1_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (v2_relat_2(k2_eqrel_1(A, k3_subset_1(k2_zfmisc_1(A, A), B), k3_subset_1(k2_zfmisc_1(A, A), k3_relset_1(A, A, B)))) & v3_relat_2(k2_eqrel_1(A, k3_subset_1(k2_zfmisc_1(A, A), B), k3_subset_1(k2_zfmisc_1(A, A), k3_relset_1(A, A, B))))) ) ) ) ) ).
fof(t30_prefer_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (v3_relat_2(B) => v3_relat_2(k3_subset_1(k2_zfmisc_1(A, A), B))) ) ) ) ).
fof(t31_prefer_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (v4_relat_2(B) <=>  (! [C] :  (! [D] :  ( (r2_hidden(k4_tarski(C, D), B) & r2_hidden(k4_tarski(D, C), B))  => C=D) ) ) ) ) ) ) ).
fof(t32_prefer_1, axiom,  (! [A] :  (! [B] :  ( (v5_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => v4_relat_2(k2_pcs_0(A, A, A, A, B, k6_partfun1(A)))) ) ) ).
fof(t33_prefer_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (v6_relat_2(B) <=>  (! [C] :  (! [D] :  ~ ( ( ~ (C=D)  &  (r2_hidden(C, k1_relat_1(B)) &  (r2_hidden(D, k1_relat_1(B)) &  ( ~ (r2_hidden(k4_tarski(C, D), B))  &  ~ (r2_hidden(k4_tarski(D, C), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_prefer_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v6_relat_2(A) <=> k2_zfmisc_1(k1_relat_1(A), k1_relat_1(A))=k2_xboole_0(k2_xboole_0(A, k2_relat_1(A)), k6_partfun1(k1_relat_1(A)))) ) ) ).
fof(t35_prefer_1, axiom,  (! [A] :  (! [B] :  ( (v5_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => r1_xboole_0(B, k3_relset_1(A, A, B))) ) ) ).
fof(t36_prefer_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  ( (r1_xboole_0(A, B) & v3_relat_2(B))  => r1_xboole_0(k2_relat_1(A), B)) ) ) ) ) ).
fof(t37_prefer_1, axiom,  (! [A] :  (! [B] :  ( (v5_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => r1_xboole_0(B, k6_partfun1(A))) ) ) ).
fof(t38_prefer_1, axiom,  (! [A] :  (! [B] :  ( (v5_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => r1_xboole_0(k4_relset_1(A, A, A, A, B, B), k6_partfun1(A))) ) ) ).
fof(d2_prefer_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) => k1_prefer_1(A, B)=k2_pcs_0(A, A, A, A, B, k3_relset_1(A, A, B))) ) ) ).
fof(d3_prefer_1, axiom,  (! [A] :  (l3_prefer_1(A) =>  (v4_prefer_1(A) <=>  (v5_relat_2(u1_prefer_1(A)) &  ( (v1_partfun1(u1_pcs_0(A), u1_struct_0(A)) &  (v1_relat_2(u1_pcs_0(A)) &  (v3_relat_2(u1_pcs_0(A)) & m1_subset_1(u1_pcs_0(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  &  (v2_relat_2(u1_orders_2(A)) &  (v3_relat_2(u1_orders_2(A)) &  (r1_prefer_1(u1_prefer_1(A), u1_pcs_0(A), u1_orders_2(A)) & k2_pcs_0(k2_xboole_0(k2_xboole_0(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)), k2_xboole_0(k2_xboole_0(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)), u1_struct_0(A), u1_struct_0(A), k2_pcs_0(k2_xboole_0(u1_struct_0(A), u1_struct_0(A)), k2_xboole_0(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A), u1_struct_0(A), k2_pcs_0(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u1_prefer_1(A), k3_relset_1(u1_struct_0(A), u1_struct_0(A), u1_prefer_1(A))), u1_pcs_0(A)), u1_orders_2(A))=k1_eqrel_1(u1_struct_0(A))) ) ) ) ) ) ) ) ).
fof(d4_prefer_1, axiom,  (! [A] : k2_prefer_1(A)=g3_prefer_1(A, k1_partit_2(A, A), k1_eqrel_1(A), k1_partit_2(A, A))) ).
fof(d5_prefer_1, axiom,  (! [A] :  (! [B] :  ( (v3_prefer_1(B) & l3_prefer_1(B))  =>  (B=k3_prefer_1(A) <=>  (u1_struct_0(B)=A &  (u1_prefer_1(B)=k1_xboole_0 &  (u1_pcs_0(B)=k6_partfun1(A) & u1_orders_2(B)=k1_xboole_0) ) ) ) ) ) ) ).
fof(d6_prefer_1, axiom,  (! [A] :  (v3_card_1(A, 2) =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v3_prefer_1(D) & l3_prefer_1(D))  =>  (D=k4_prefer_1(A, B, C) <=>  (u1_struct_0(D)=A &  (u1_prefer_1(D)=k6_domain_1(k2_zfmisc_1(A, A), k1_domain_1(A, A, B, C)) &  (u1_pcs_0(D)=k7_domain_1(k2_zfmisc_1(A, A), k1_domain_1(A, A, B, B), k1_domain_1(A, A, C, C)) & u1_orders_2(D)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_prefer_1, axiom,  (! [A] :  (v3_card_1(A, 2) =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  ( ~ (B=C)  => v4_prefer_1(k4_prefer_1(A, B, C))) ) ) ) ) ) ) ).
fof(d7_prefer_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v3_prefer_1(D) & l3_prefer_1(D))  =>  (D=k5_prefer_1(A, B, C) <=>  (u1_struct_0(D)=A &  (u1_prefer_1(D)=k1_xboole_0 &  (u1_pcs_0(D)=k7_domain_1(k2_zfmisc_1(A, A), k1_domain_1(A, A, B, B), k1_domain_1(A, A, C, C)) & u1_orders_2(D)=k7_domain_1(k2_zfmisc_1(A, A), k1_domain_1(A, A, B, C), k1_domain_1(A, A, C, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_prefer_1, axiom,  (! [A] :  (v3_card_1(A, 2) =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  ( ~ (B=C)  =>  ( ~ (v2_struct_0(k5_prefer_1(A, B, C)))  & v4_prefer_1(k5_prefer_1(A, B, C))) ) ) ) ) ) ) ) ).
fof(d8_prefer_1, axiom,  (! [A] :  (l2_prefer_1(A) => k6_prefer_1(A)=k2_pcs_0(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u1_prefer_1(A), u1_pcs_0(A))) ) ).
fof(d9_prefer_1, axiom,  (! [A] :  (l2_prefer_1(A) =>  (v5_prefer_1(A) <=>  (v5_relat_2(u1_prefer_1(A)) &  ( (v1_partfun1(u1_pcs_0(A), u1_struct_0(A)) &  (v1_relat_2(u1_pcs_0(A)) &  (v3_relat_2(u1_pcs_0(A)) & m1_subset_1(u1_pcs_0(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  &  (k2_eqrel_1(u1_struct_0(A), u1_prefer_1(A), u1_pcs_0(A))=k1_xboole_0 & k2_pcs_0(k2_xboole_0(u1_struct_0(A), u1_struct_0(A)), k2_xboole_0(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A), u1_struct_0(A), k2_pcs_0(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u1_prefer_1(A), k3_relset_1(u1_struct_0(A), u1_struct_0(A), u1_prefer_1(A))), u1_pcs_0(A))=k1_eqrel_1(u1_struct_0(A))) ) ) ) ) ) ).
fof(t41_prefer_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_prefer_1(A))  =>  (v5_prefer_1(A) => r2_relset_1(u1_struct_0(A), u1_struct_0(A), u1_prefer_1(A), k2_eqrel_1(u1_struct_0(A), k6_prefer_1(A), k3_subset_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k3_relset_1(u1_struct_0(A), u1_struct_0(A), k6_prefer_1(A)))))) ) ) ).
fof(t42_prefer_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_prefer_1(A))  =>  (v5_prefer_1(A) => r2_relset_1(u1_struct_0(A), u1_struct_0(A), u1_pcs_0(A), k2_eqrel_1(u1_struct_0(A), k6_prefer_1(A), k3_relset_1(u1_struct_0(A), u1_struct_0(A), k6_prefer_1(A))))) ) ) ).
fof(t43_prefer_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_prefer_1(A))  =>  (v4_prefer_1(A) => r2_relset_1(u1_struct_0(A), u1_struct_0(A), u1_prefer_1(A), k2_eqrel_1(u1_struct_0(A), k6_prefer_1(A), k3_subset_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k3_relset_1(u1_struct_0(A), u1_struct_0(A), k6_prefer_1(A)))))) ) ) ).
fof(t44_prefer_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_prefer_1(A))  =>  (v4_prefer_1(A) => r2_relset_1(u1_struct_0(A), u1_struct_0(A), u1_pcs_0(A), k2_eqrel_1(u1_struct_0(A), k6_prefer_1(A), k3_relset_1(u1_struct_0(A), u1_struct_0(A), k6_prefer_1(A))))) ) ) ).
fof(t45_prefer_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_prefer_1(A))  =>  (v4_prefer_1(A) => r2_relset_1(u1_struct_0(A), u1_struct_0(A), u1_orders_2(A), k2_eqrel_1(u1_struct_0(A), k3_subset_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k6_prefer_1(A)), k3_subset_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k3_relset_1(u1_struct_0(A), u1_struct_0(A), k6_prefer_1(A)))))) ) ) ).
fof(d10_prefer_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) => k7_prefer_1(A, B)=k1_prefer_1(k2_xboole_0(k2_xboole_0(A, A), A), k3_subset_1(k2_zfmisc_1(k2_xboole_0(k2_xboole_0(A, A), A), k2_xboole_0(k2_xboole_0(A, A), A)), k2_pcs_0(k2_xboole_0(A, A), k2_xboole_0(A, A), A, A, k2_pcs_0(A, A, A, A, k2_eqrel_1(A, B, k3_subset_1(k2_zfmisc_1(A, A), k3_relset_1(A, A, B))), k3_relset_1(A, A, k2_eqrel_1(A, B, k3_subset_1(k2_zfmisc_1(A, A), k3_relset_1(A, A, B))))), k2_eqrel_1(A, B, k3_relset_1(A, A, B)))))) ) ) ).
fof(t46_prefer_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) => k2_pcs_0(k2_xboole_0(k2_xboole_0(A, A), A), k2_xboole_0(k2_xboole_0(A, A), A), A, A, k2_pcs_0(k2_xboole_0(A, A), k2_xboole_0(A, A), A, A, k2_pcs_0(A, A, A, A, k2_eqrel_1(A, B, k3_subset_1(k2_zfmisc_1(A, A), k3_relset_1(A, A, B))), k3_relset_1(A, A, k2_eqrel_1(A, B, k3_subset_1(k2_zfmisc_1(A, A), k3_relset_1(A, A, B))))), k2_eqrel_1(A, B, k3_relset_1(A, A, B))), k7_prefer_1(A, B))=k1_eqrel_1(A)) ) ) ) ).
fof(t47_prefer_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) &  (v1_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  => k7_prefer_1(A, B)=k2_pcs_0(A, A, k2_xboole_0(A, A), k2_xboole_0(A, A), k2_eqrel_1(A, k3_subset_1(k2_zfmisc_1(A, A), k3_relset_1(A, A, B)), k3_subset_1(k2_zfmisc_1(A, A), B)), k9_subset_1(k2_zfmisc_1(k2_xboole_0(A, A), k2_xboole_0(A, A)), k3_relset_1(A, A, k3_subset_1(k2_zfmisc_1(A, A), B)), k2_pcs_0(A, A, A, A, k3_subset_1(k2_zfmisc_1(A, A), B), k3_relset_1(A, A, B))))) ) ) ) ).
fof(t48_prefer_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) &  (v1_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  => r1_xboole_0(k2_eqrel_1(A, B, k3_subset_1(k2_zfmisc_1(A, A), k3_relset_1(A, A, B))), k7_prefer_1(A, B))) ) ) ) ).
fof(t49_prefer_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) &  (v1_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (v2_relat_2(k7_prefer_1(A, B)) & v3_relat_2(k7_prefer_1(A, B))) ) ) ) ) ).
fof(t50_prefer_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) &  (v1_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  => r1_xboole_0(k2_eqrel_1(A, B, k3_relset_1(A, A, B)), k7_prefer_1(A, B))) ) ) ) ).
fof(t51_prefer_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) &  (v1_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  => r1_prefer_1(k2_eqrel_1(A, B, k3_subset_1(k2_zfmisc_1(A, A), k3_relset_1(A, A, B))), k2_eqrel_1(A, B, k3_relset_1(A, A, B)), k7_prefer_1(A, B))) ) ) ) ).
fof(d11_prefer_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  ( (v3_prefer_1(C) & l3_prefer_1(C))  =>  (C=k8_prefer_1(A, B) <=>  (u1_struct_0(C)=A &  (u1_prefer_1(C)=k2_eqrel_1(A, B, k3_subset_1(k2_zfmisc_1(A, A), k3_relset_1(A, A, B))) &  (u1_pcs_0(C)=k2_eqrel_1(A, B, k3_relset_1(A, A, B)) & u1_orders_2(C)=k7_prefer_1(A, B)) ) ) ) ) ) ) ) ) ).
fof(t52_prefer_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_partfun1(B, A) &  (v1_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  => v4_prefer_1(k8_prefer_1(A, B))) ) ) ) ).
fof(d12_prefer_1, axiom,  (! [A] :  (l3_prefer_1(A) =>  (v6_prefer_1(A) <=>  (r2_relset_1(u1_struct_0(A), u1_struct_0(A), u1_pcs_0(A), k6_partfun1(u1_struct_0(A))) &  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (u1_prefer_1(A)=k2_zfmisc_1(k1_tarski(B), k6_subset_1(u1_struct_0(A), k1_tarski(B))) & u1_orders_2(A)=k6_yellow_3(A, A, k6_subset_1(u1_struct_0(A), k1_tarski(B)), k6_subset_1(u1_struct_0(A), k1_tarski(B)))) ) ) ) ) ) ) ).
fof(t53_prefer_1, axiom,  (! [A] :  (v1_zfmisc_1(A) => k3_prefer_1(A)=k2_prefer_1(A)) ) ).
fof(d13_prefer_1, axiom,  (! [A] :  (l3_prefer_1(A) =>  (v7_prefer_1(A) <=>  (r2_relset_1(u1_struct_0(A), u1_struct_0(A), u1_pcs_0(A), k6_partfun1(u1_struct_0(A))) & u1_orders_2(A)=k1_xboole_0) ) ) ) ).
fof(t54_prefer_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_prefer_1(A) & l3_prefer_1(A)) )  =>  (v7_prefer_1(A) <=>  (v6_relat_2(k6_prefer_1(A)) &  (v4_relat_2(k6_prefer_1(A)) & v1_partfun1(k6_prefer_1(A), u1_struct_0(A))) ) ) ) ) ).
fof(d14_prefer_1, axiom,  (! [A] :  (l3_prefer_1(A) =>  (v8_prefer_1(A) <=>  (v8_relat_2(u1_prefer_1(A)) &  (r2_relset_1(u1_struct_0(A), u1_struct_0(A), u1_pcs_0(A), k6_partfun1(u1_struct_0(A))) & u1_orders_2(A)=k1_xboole_0) ) ) ) ) ).
fof(t55_prefer_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_prefer_1(A) & l3_prefer_1(A)) )  =>  (v8_prefer_1(A) <=>  (v1_partfun1(k6_prefer_1(A), u1_struct_0(A)) &  (v1_relat_2(k6_prefer_1(A)) &  (v4_relat_2(k6_prefer_1(A)) &  (v6_relat_2(k6_prefer_1(A)) &  (v8_relat_2(k6_prefer_1(A)) & m1_subset_1(k6_prefer_1(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ) ) ) ) ).
fof(dt_k1_prefer_1, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) => m1_subset_1(k1_prefer_1(A, B), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ).
fof(abstractness_v1_prefer_1, axiom,  (! [A] :  (l1_prefer_1(A) =>  (v1_prefer_1(A) => A=g1_prefer_1(u1_struct_0(A), u1_prefer_1(A))) ) ) ).
fof(dt_l1_prefer_1, axiom,  (! [A] :  (l1_prefer_1(A) => l1_struct_0(A)) ) ).
fof(existence_l1_prefer_1, axiom,  (? [A] : l1_prefer_1(A)) ).
fof(dt_g1_prefer_1, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (v1_prefer_1(g1_prefer_1(A, B)) & l1_prefer_1(g1_prefer_1(A, B))) ) ) ).
fof(free_g1_prefer_1, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C, D] :  (g1_prefer_1(A, B)=g1_prefer_1(C, D) =>  (A=C & B=D) ) ) ) ) ).
fof(dt_u1_prefer_1, axiom,  (! [A] :  (l1_prefer_1(A) => m1_subset_1(u1_prefer_1(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ).
fof(abstractness_v2_prefer_1, axiom,  (! [A] :  (l2_prefer_1(A) =>  (v2_prefer_1(A) => A=g2_prefer_1(u1_struct_0(A), u1_prefer_1(A), u1_pcs_0(A))) ) ) ).
fof(dt_l2_prefer_1, axiom,  (! [A] :  (l2_prefer_1(A) =>  (l1_prefer_1(A) & l1_pcs_0(A)) ) ) ).
fof(existence_l2_prefer_1, axiom,  (? [A] : l2_prefer_1(A)) ).
fof(dt_g2_prefer_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (v2_prefer_1(g2_prefer_1(A, B, C)) & l2_prefer_1(g2_prefer_1(A, B, C))) ) ) ).
fof(free_g2_prefer_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [D, E, F] :  (g2_prefer_1(A, B, C)=g2_prefer_1(D, E, F) =>  (A=D &  (B=E & C=F) ) ) ) ) ) ).
fof(abstractness_v3_prefer_1, axiom,  (! [A] :  (l3_prefer_1(A) =>  (v3_prefer_1(A) => A=g3_prefer_1(u1_struct_0(A), u1_prefer_1(A), u1_pcs_0(A), u1_orders_2(A))) ) ) ).
fof(dt_l3_prefer_1, axiom,  (! [A] :  (l3_prefer_1(A) =>  (l2_prefer_1(A) &  (l1_orders_2(A) & l1_prefer_1(A)) ) ) ) ).
fof(existence_l3_prefer_1, axiom,  (? [A] : l3_prefer_1(A)) ).
fof(dt_g3_prefer_1, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (v3_prefer_1(g3_prefer_1(A, B, C, D)) & l3_prefer_1(g3_prefer_1(A, B, C, D))) ) ) ).
fof(free_g3_prefer_1, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (! [E, F, G, H] :  (g3_prefer_1(A, B, C, D)=g3_prefer_1(E, F, G, H) =>  (A=E &  (B=F &  (C=G & D=H) ) ) ) ) ) ) ).
fof(dt_k2_prefer_1, axiom,  (! [A] :  (v3_prefer_1(k2_prefer_1(A)) & l3_prefer_1(k2_prefer_1(A))) ) ).
fof(dt_k3_prefer_1, axiom,  (! [A] :  (v3_prefer_1(k3_prefer_1(A)) & l3_prefer_1(k3_prefer_1(A))) ) ).
fof(dt_k4_prefer_1, axiom,  (! [A, B, C] :  ( (v3_card_1(A, 2) &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  =>  (v3_prefer_1(k4_prefer_1(A, B, C)) & l3_prefer_1(k4_prefer_1(A, B, C))) ) ) ).
fof(dt_k5_prefer_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  =>  (v3_prefer_1(k5_prefer_1(A, B, C)) & l3_prefer_1(k5_prefer_1(A, B, C))) ) ) ).
fof(dt_k6_prefer_1, axiom,  (! [A] :  (l2_prefer_1(A) => m1_subset_1(k6_prefer_1(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ).
fof(dt_k7_prefer_1, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) => m1_subset_1(k7_prefer_1(A, B), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ).
fof(dt_k8_prefer_1, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (v3_prefer_1(k8_prefer_1(A, B)) & l3_prefer_1(k8_prefer_1(A, B))) ) ) ).
fof(rc1_prelamb, axiom,  (? [A] :  (l1_prelamb(A) & v1_prelamb(A)) ) ).
fof(rc2_prelamb, axiom,  (? [A] :  (l1_prelamb(A) &  ( ~ (v2_struct_0(A))  & v1_prelamb(A)) ) ) ).
fof(rc3_prelamb, axiom,  (? [A] :  (l2_prelamb(A) & v9_prelamb(A)) ) ).
fof(rc4_prelamb, axiom,  (? [A] :  (l2_prelamb(A) &  ( ~ (v2_struct_0(A))  & v9_prelamb(A)) ) ) ).
fof(rc5_prelamb, axiom,  (? [A] :  (l2_prelamb(A) &  ( ~ (v2_struct_0(A))  & v10_prelamb(A)) ) ) ).
fof(d1_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_prelamb(A, B, C)=k4_binop_1(u1_struct_0(A), u1_prelamb(A), B, C)) ) ) ) ) ) ).
fof(d2_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_prelamb(A, B, C)=k4_binop_1(u1_struct_0(A), u2_prelamb(A), B, C)) ) ) ) ) ) ).
fof(d3_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_prelamb(A, B, C)=k4_binop_1(u1_struct_0(A), u3_prelamb(A), B, C)) ) ) ) ) ) ).
fof(d4_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v3_trees_2(B)) ) ) )  =>  (! [C] :  (m1_trees_1(C, k9_xtuple_0(B)) =>  ( (k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=k5_numbers =>  (v2_prelamb(C, A, B) <=>  (k8_trees_2(k9_xtuple_0(B), C)=k5_numbers &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & k1_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=k4_tarski(k12_finseq_1(u1_struct_0(A), D), D)) ) ) ) )  &  ( (k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=1 =>  (v2_prelamb(C, A, B) <=>  (k8_trees_2(k9_xtuple_0(B), C)=1 &  (? [D] :  (m2_finseq_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (k1_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=k4_tarski(D, k2_prelamb(A, E, F)) & k1_xtuple_0(k1_funct_1(B, k8_finseq_1(k4_ordinal1, C, k12_finseq_1(k4_ordinal1, k5_numbers))))=k4_tarski(k8_finseq_1(u1_struct_0(A), D, k12_finseq_1(u1_struct_0(A), F)), E)) ) ) ) ) ) ) ) ) )  &  ( (k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=2 =>  (v2_prelamb(C, A, B) <=>  (k8_trees_2(k9_xtuple_0(B), C)=1 &  (? [D] :  (m2_finseq_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (k1_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=k4_tarski(D, k1_prelamb(A, F, E)) & k1_xtuple_0(k1_funct_1(B, k8_finseq_1(k4_ordinal1, C, k12_finseq_1(k4_ordinal1, k5_numbers))))=k4_tarski(k8_finseq_1(u1_struct_0(A), k12_finseq_1(u1_struct_0(A), F), D), E)) ) ) ) ) ) ) ) ) )  &  ( (k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=3 =>  (v2_prelamb(C, A, B) <=>  (k8_trees_2(k9_xtuple_0(B), C)=2 &  (? [D] :  (m2_finseq_1(D, u1_struct_0(A)) &  (? [E] :  (m2_finseq_1(E, u1_struct_0(A)) &  (? [F] :  (m2_finseq_1(F, u1_struct_0(A)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  (? [H] :  (m1_subset_1(H, u1_struct_0(A)) &  (? [I] :  (m1_subset_1(I, u1_struct_0(A)) &  (k1_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=k4_tarski(k8_finseq_1(u1_struct_0(A), k8_finseq_1(u1_struct_0(A), k8_finseq_1(u1_struct_0(A), E, k12_finseq_1(u1_struct_0(A), k2_prelamb(A, G, H))), D), F), I) &  (k1_xtuple_0(k1_funct_1(B, k8_finseq_1(k4_ordinal1, C, k12_finseq_1(k4_ordinal1, k5_numbers))))=k4_tarski(D, H) & k1_xtuple_0(k1_funct_1(B, k8_finseq_1(k4_ordinal1, C, k12_finseq_1(k4_ordinal1, 1))))=k4_tarski(k8_finseq_1(u1_struct_0(A), k8_finseq_1(u1_struct_0(A), E, k12_finseq_1(u1_struct_0(A), G)), F), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=4 =>  (v2_prelamb(C, A, B) <=>  (k8_trees_2(k9_xtuple_0(B), C)=2 &  (? [D] :  (m2_finseq_1(D, u1_struct_0(A)) &  (? [E] :  (m2_finseq_1(E, u1_struct_0(A)) &  (? [F] :  (m2_finseq_1(F, u1_struct_0(A)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  (? [H] :  (m1_subset_1(H, u1_struct_0(A)) &  (? [I] :  (m1_subset_1(I, u1_struct_0(A)) &  (k1_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=k4_tarski(k8_finseq_1(u1_struct_0(A), k8_finseq_1(u1_struct_0(A), k8_finseq_1(u1_struct_0(A), E, D), k12_finseq_1(u1_struct_0(A), k1_prelamb(A, H, G))), F), I) &  (k1_xtuple_0(k1_funct_1(B, k8_finseq_1(k4_ordinal1, C, k12_finseq_1(k4_ordinal1, k5_numbers))))=k4_tarski(D, H) & k1_xtuple_0(k1_funct_1(B, k8_finseq_1(k4_ordinal1, C, k12_finseq_1(k4_ordinal1, 1))))=k4_tarski(k8_finseq_1(u1_struct_0(A), k8_finseq_1(u1_struct_0(A), E, k12_finseq_1(u1_struct_0(A), G)), F), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=5 =>  (v2_prelamb(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k8_trees_2(k9_xtuple_0(B), C)=1 &  (? [E] :  (m2_finseq_1(E, u1_struct_0(A)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  (? [H] :  (m2_finseq_1(H, u1_struct_0(A)) &  (k1_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=k4_tarski(k8_finseq_1(u1_struct_0(A), k8_finseq_1(u1_struct_0(A), E, k12_finseq_1(u1_struct_0(A), k3_prelamb(A, F, G))), H), D) & k1_xtuple_0(k1_funct_1(B, k8_finseq_1(k4_ordinal1, C, k12_finseq_1(k4_ordinal1, k5_numbers))))=k4_tarski(k8_finseq_1(u1_struct_0(A), k8_finseq_1(u1_struct_0(A), k8_finseq_1(u1_struct_0(A), E, k12_finseq_1(u1_struct_0(A), F)), k12_finseq_1(u1_struct_0(A), G)), H), D)) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=6 =>  (v2_prelamb(C, A, B) <=>  (k8_trees_2(k9_xtuple_0(B), C)=2 &  (? [D] :  (m2_finseq_1(D, u1_struct_0(A)) &  (? [E] :  (m2_finseq_1(E, u1_struct_0(A)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  (k1_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=k4_tarski(k8_finseq_1(u1_struct_0(A), D, E), k3_prelamb(A, F, G)) &  (k1_xtuple_0(k1_funct_1(B, k8_finseq_1(k4_ordinal1, C, k12_finseq_1(k4_ordinal1, k5_numbers))))=k4_tarski(D, F) & k1_xtuple_0(k1_funct_1(B, k8_finseq_1(k4_ordinal1, C, k12_finseq_1(k4_ordinal1, 1))))=k4_tarski(E, G)) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=7 =>  (v2_prelamb(C, A, B) <=>  (k8_trees_2(k9_xtuple_0(B), C)=2 &  (? [D] :  (m2_finseq_1(D, u1_struct_0(A)) &  (? [E] :  (m2_finseq_1(E, u1_struct_0(A)) &  (? [F] :  (m2_finseq_1(F, u1_struct_0(A)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  (? [H] :  (m1_subset_1(H, u1_struct_0(A)) &  (k1_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=k4_tarski(k8_finseq_1(u1_struct_0(A), k8_finseq_1(u1_struct_0(A), E, D), F), H) &  (k1_xtuple_0(k1_funct_1(B, k8_finseq_1(k4_ordinal1, C, k12_finseq_1(k4_ordinal1, k5_numbers))))=k4_tarski(D, G) & k1_xtuple_0(k1_funct_1(B, k8_finseq_1(k4_ordinal1, C, k12_finseq_1(k4_ordinal1, 1))))=k4_tarski(k8_finseq_1(u1_struct_0(A), k8_finseq_1(u1_struct_0(A), E, k12_finseq_1(u1_struct_0(A), G)), F), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ~ ( ( ~ (k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=k5_numbers)  &  ( ~ (k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=1)  &  ( ~ (k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=2)  &  ( ~ (k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=3)  &  ( ~ (k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=4)  &  ( ~ (k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=5)  &  ( ~ (k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=6)  &  ( ~ (k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=7)  &  ~ ( (v2_prelamb(C, A, B) <=>  ~ ($true) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v3_prelamb(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & B=k1_prelamb(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(d6_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v4_prelamb(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & B=k2_prelamb(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(d7_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v5_prelamb(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & B=k3_prelamb(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(d8_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v6_prelamb(B, A) <=>  ( ~ (v3_prelamb(B, A))  &  ( ~ (v4_prelamb(B, A))  &  ~ (v5_prelamb(B, A)) ) ) ) ) ) ) ) ).
fof(d9_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v3_trees_2(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_prelamb(A, B, C) <=>  (v1_finset_1(k9_xtuple_0(B)) &  (! [D] :  (m1_trees_1(D, k9_xtuple_0(B)) =>  ( (k8_trees_2(k9_xtuple_0(B), D)=k5_numbers | k8_trees_2(k9_xtuple_0(B), D)=2)  &  ( (k8_trees_2(k9_xtuple_0(B), D)=k5_numbers => v6_prelamb(k4_prelamb(A, B, D), A))  &  ~ ( (k8_trees_2(k9_xtuple_0(B), D)=2 &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( ( ~ ( ( ~ (k4_prelamb(A, B, D)=k2_prelamb(A, E, F))  &  ( ~ (k4_prelamb(A, B, D)=k1_prelamb(A, E, F))  &  ~ (k4_prelamb(A, B, D)=k3_prelamb(A, E, F)) ) ) )  &  (k1_funct_1(B, k8_finseq_1(k4_ordinal1, D, k12_finseq_1(k4_ordinal1, k5_numbers)))=E & k1_funct_1(B, k8_finseq_1(k4_ordinal1, D, k12_finseq_1(k4_ordinal1, 1)))=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  =>  (v7_prelamb(A) <=>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ ( (v3_prelamb(B, A) & v4_prelamb(B, A)) )  &  ( ~ ( (v3_prelamb(B, A) & v5_prelamb(B, A)) )  &  ~ ( (v4_prelamb(B, A) & v5_prelamb(B, A)) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) & v3_trees_2(C)) ) ) )  &  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) &  (v1_finset_1(D) & v3_trees_2(D)) ) ) )  =>  (r1_prelamb(A, D, B) <=> C=D) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v7_prelamb(A) =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) & v3_trees_2(C)) ) ) )  =>  (C=k5_prelamb(A, B) <=>  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, u1_struct_0(A)) &  (v1_funct_1(D) &  (v1_finset_1(D) & v3_trees_2(D)) ) ) )  =>  (r1_prelamb(A, D, B) <=> C=D) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v3_trees_2(B)) ) ) )  =>  (m1_prelamb(B, A) <=>  (v1_finset_1(k9_xtuple_0(B)) &  (! [C] :  (m1_trees_1(C, k9_xtuple_0(B)) => v2_prelamb(C, A, B)) ) ) ) ) ) ) ) ).
fof(t1_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  =>  (! [B] :  (m1_prelamb(B, A) =>  (! [C] :  (m1_trees_1(C, k9_xtuple_0(B)) =>  (k8_trees_2(k9_xtuple_0(B), C)=1 => r2_tarski(k8_finseq_1(k4_ordinal1, C, k12_finseq_1(k4_ordinal1, k5_numbers)), k9_xtuple_0(B))) ) ) ) ) ) ) ).
fof(t2_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  =>  (! [B] :  (m1_prelamb(B, A) =>  (! [C] :  (m1_trees_1(C, k9_xtuple_0(B)) =>  (k8_trees_2(k9_xtuple_0(B), C)=2 =>  (r2_tarski(k8_finseq_1(k4_ordinal1, C, k12_finseq_1(k4_ordinal1, k5_numbers)), k9_xtuple_0(B)) & r2_tarski(k8_finseq_1(k4_ordinal1, C, k12_finseq_1(k4_ordinal1, 1)), k9_xtuple_0(B))) ) ) ) ) ) ) ) ).
fof(t3_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  =>  (! [B] :  (m1_prelamb(B, A) =>  (! [C] :  (m1_trees_1(C, k9_xtuple_0(B)) =>  ~ ( (k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=k5_numbers &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ (k1_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=k6_prelamb(A, k12_finseq_1(u1_struct_0(A), D), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  =>  (! [B] :  (m1_prelamb(B, A) =>  (! [C] :  (m1_trees_1(C, k9_xtuple_0(B)) =>  ~ ( (k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=1 &  (! [D] :  (m1_trees_1(D, k9_xtuple_0(B)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( (D=k8_finseq_1(k4_ordinal1, C, k12_finseq_1(k4_ordinal1, k5_numbers)) &  (k1_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=k6_prelamb(A, E, k2_prelamb(A, F, G)) & k1_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, D))=k6_prelamb(A, k8_finseq_1(u1_struct_0(A), E, k12_finseq_1(u1_struct_0(A), G)), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  =>  (! [B] :  (m1_prelamb(B, A) =>  (! [C] :  (m1_trees_1(C, k9_xtuple_0(B)) =>  ~ ( (k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=2 &  (! [D] :  (m1_trees_1(D, k9_xtuple_0(B)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( (D=k8_finseq_1(k4_ordinal1, C, k12_finseq_1(k4_ordinal1, k5_numbers)) &  (k1_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=k6_prelamb(A, E, k1_prelamb(A, G, F)) & k1_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, D))=k6_prelamb(A, k8_finseq_1(u1_struct_0(A), k12_finseq_1(u1_struct_0(A), G), E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  =>  (! [B] :  (m1_prelamb(B, A) =>  (! [C] :  (m1_trees_1(C, k9_xtuple_0(B)) =>  ~ ( (k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=3 &  (! [D] :  (m1_trees_1(D, k9_xtuple_0(B)) =>  (! [E] :  (m1_trees_1(E, k9_xtuple_0(B)) =>  (! [F] :  (m2_finseq_1(F, u1_struct_0(A)) =>  (! [G] :  (m2_finseq_1(G, u1_struct_0(A)) =>  (! [H] :  (m2_finseq_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  ~ ( (D=k8_finseq_1(k4_ordinal1, C, k12_finseq_1(k4_ordinal1, k5_numbers)) &  (E=k8_finseq_1(k4_ordinal1, C, k12_finseq_1(k4_ordinal1, 1)) &  (k1_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=k6_prelamb(A, k8_finseq_1(u1_struct_0(A), k8_finseq_1(u1_struct_0(A), k8_finseq_1(u1_struct_0(A), G, k12_finseq_1(u1_struct_0(A), k2_prelamb(A, I, J))), F), H), K) &  (k1_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, D))=k6_prelamb(A, F, J) & k1_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, E))=k6_prelamb(A, k8_finseq_1(u1_struct_0(A), k8_finseq_1(u1_struct_0(A), G, k12_finseq_1(u1_struct_0(A), I)), H), K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  =>  (! [B] :  (m1_prelamb(B, A) =>  (! [C] :  (m1_trees_1(C, k9_xtuple_0(B)) =>  ~ ( (k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=4 &  (! [D] :  (m1_trees_1(D, k9_xtuple_0(B)) =>  (! [E] :  (m1_trees_1(E, k9_xtuple_0(B)) =>  (! [F] :  (m2_finseq_1(F, u1_struct_0(A)) =>  (! [G] :  (m2_finseq_1(G, u1_struct_0(A)) =>  (! [H] :  (m2_finseq_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  ~ ( (D=k8_finseq_1(k4_ordinal1, C, k12_finseq_1(k4_ordinal1, k5_numbers)) &  (E=k8_finseq_1(k4_ordinal1, C, k12_finseq_1(k4_ordinal1, 1)) &  (k1_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=k6_prelamb(A, k8_finseq_1(u1_struct_0(A), k8_finseq_1(u1_struct_0(A), k8_finseq_1(u1_struct_0(A), G, F), k12_finseq_1(u1_struct_0(A), k1_prelamb(A, J, I))), H), K) &  (k1_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, D))=k6_prelamb(A, F, J) & k1_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, E))=k6_prelamb(A, k8_finseq_1(u1_struct_0(A), k8_finseq_1(u1_struct_0(A), G, k12_finseq_1(u1_struct_0(A), I)), H), K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_prelamb(C, A) =>  (! [D] :  (m1_trees_1(D, k9_xtuple_0(C)) =>  ~ ( (k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), C, D))=5 &  (! [E] :  (m1_trees_1(E, k9_xtuple_0(C)) =>  (! [F] :  (m2_finseq_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m2_finseq_1(I, u1_struct_0(A)) =>  ~ ( (E=k8_finseq_1(k4_ordinal1, D, k12_finseq_1(k4_ordinal1, k5_numbers)) &  (k1_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), C, D))=k6_prelamb(A, k8_finseq_1(u1_struct_0(A), k8_finseq_1(u1_struct_0(A), F, k12_finseq_1(u1_struct_0(A), k3_prelamb(A, G, H))), I), B) & k1_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), C, E))=k6_prelamb(A, k8_finseq_1(u1_struct_0(A), k8_finseq_1(u1_struct_0(A), k8_finseq_1(u1_struct_0(A), F, k12_finseq_1(u1_struct_0(A), G)), k12_finseq_1(u1_struct_0(A), H)), I), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  =>  (! [B] :  (m1_prelamb(B, A) =>  (! [C] :  (m1_trees_1(C, k9_xtuple_0(B)) =>  ~ ( (k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=6 &  (! [D] :  (m1_trees_1(D, k9_xtuple_0(B)) =>  (! [E] :  (m1_trees_1(E, k9_xtuple_0(B)) =>  (! [F] :  (m2_finseq_1(F, u1_struct_0(A)) =>  (! [G] :  (m2_finseq_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  ~ ( (D=k8_finseq_1(k4_ordinal1, C, k12_finseq_1(k4_ordinal1, k5_numbers)) &  (E=k8_finseq_1(k4_ordinal1, C, k12_finseq_1(k4_ordinal1, 1)) &  (k1_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=k6_prelamb(A, k8_finseq_1(u1_struct_0(A), F, G), k3_prelamb(A, H, I)) &  (k1_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, D))=k6_prelamb(A, F, H) & k1_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, E))=k6_prelamb(A, G, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  =>  (! [B] :  (m1_prelamb(B, A) =>  (! [C] :  (m1_trees_1(C, k9_xtuple_0(B)) =>  ~ ( (k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=7 &  (! [D] :  (m1_trees_1(D, k9_xtuple_0(B)) =>  (! [E] :  (m1_trees_1(E, k9_xtuple_0(B)) =>  (! [F] :  (m2_finseq_1(F, u1_struct_0(A)) =>  (! [G] :  (m2_finseq_1(G, u1_struct_0(A)) =>  (! [H] :  (m2_finseq_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  ~ ( (D=k8_finseq_1(k4_ordinal1, C, k12_finseq_1(k4_ordinal1, k5_numbers)) &  (E=k8_finseq_1(k4_ordinal1, C, k12_finseq_1(k4_ordinal1, 1)) &  (k1_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=k6_prelamb(A, k8_finseq_1(u1_struct_0(A), k8_finseq_1(u1_struct_0(A), G, F), H), J) &  (k1_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, D))=k6_prelamb(A, F, I) & k1_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, E))=k6_prelamb(A, k8_finseq_1(u1_struct_0(A), k8_finseq_1(u1_struct_0(A), G, k12_finseq_1(u1_struct_0(A), I)), H), J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  =>  (! [B] :  (m1_prelamb(B, A) =>  (! [C] :  (m1_trees_1(C, k9_xtuple_0(B)) =>  ~ ( (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(k5_numbers, D) &  (r1_xxreal_0(D, 7) & k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=D) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v3_trees_2(B)) ) ) )  =>  (v8_prelamb(B, A) <=>  (! [C] :  (m1_trees_1(C, k9_xtuple_0(B)) =>  ~ (k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1), B, C))=7) ) ) ) ) ) ) ) ).
fof(d14_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k4_ordinal1)))) )  =>  (B=k7_prelamb(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k4_ordinal1, B, C)=k4_card_1(k9_xtuple_0(k5_prelamb(A, C)))) ) ) ) ) ) ) ).
fof(d15_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  =>  (! [B] :  (m1_prelamb(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  ( (k2_xtuple_0(k1_funct_1(B, k1_xboole_0))=7 =>  (C=k9_prelamb(A, B) <=>  (? [D] :  (m2_finseq_1(D, u1_struct_0(A)) &  (? [E] :  (m2_finseq_1(E, u1_struct_0(A)) &  (? [F] :  (m2_finseq_1(F, u1_struct_0(A)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  (? [H] :  (m1_subset_1(H, u1_struct_0(A)) &  (k1_xtuple_0(k1_funct_1(B, k1_xboole_0))=k6_prelamb(A, k8_finseq_1(u1_struct_0(A), k8_finseq_1(u1_struct_0(A), E, D), F), H) &  (k1_xtuple_0(k1_funct_1(B, k12_finseq_1(k4_ordinal1, k5_numbers)))=k6_prelamb(A, D, G) &  (k1_xtuple_0(k1_funct_1(B, k12_finseq_1(k4_ordinal1, 1)))=k6_prelamb(A, k8_finseq_1(u1_struct_0(A), k8_finseq_1(u1_struct_0(A), E, k12_finseq_1(u1_struct_0(A), G)), F), H) & C=k2_xcmplx_0(k1_nat_1(k3_funct_2(u1_struct_0(A), k4_ordinal1, k7_prelamb(A), G), k3_funct_2(u1_struct_0(A), k4_ordinal1, k7_prelamb(A), H)), k18_rvsum_1(k8_prelamb(u1_struct_0(A), k8_finseq_1(u1_struct_0(A), k8_finseq_1(u1_struct_0(A), E, D), F), k7_prelamb(A))))) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (k2_xtuple_0(k1_funct_1(B, k1_xboole_0))=7)  =>  (C=k9_prelamb(A, B) <=> C=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(d17_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_prelamb(A))  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_prelamb(A, B, C) <=> r2_tarski(k6_prelamb(A, B, C), u4_prelamb(A))) ) ) ) ) ) ) ).
fof(d18_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_prelamb(A))  =>  (v10_prelamb(A) <=>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r2_prelamb(A, k12_finseq_1(u1_struct_0(A), B), B)) )  &  ( (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_prelamb(A, k8_finseq_1(u1_struct_0(A), B, k12_finseq_1(u1_struct_0(A), D)), C) => r2_prelamb(A, B, k2_prelamb(A, C, D))) ) ) ) ) ) )  &  ( (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_prelamb(A, k8_finseq_1(u1_struct_0(A), k12_finseq_1(u1_struct_0(A), D), B), C) => r2_prelamb(A, B, k1_prelamb(A, D, C))) ) ) ) ) ) )  &  ( (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_prelamb(A, B, F) & r2_prelamb(A, k8_finseq_1(u1_struct_0(A), k8_finseq_1(u1_struct_0(A), C, k12_finseq_1(u1_struct_0(A), E)), D), G))  => r2_prelamb(A, k8_finseq_1(u1_struct_0(A), k8_finseq_1(u1_struct_0(A), k8_finseq_1(u1_struct_0(A), C, k12_finseq_1(u1_struct_0(A), k2_prelamb(A, E, F))), B), D), G)) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r2_prelamb(A, B, F) & r2_prelamb(A, k8_finseq_1(u1_struct_0(A), k8_finseq_1(u1_struct_0(A), C, k12_finseq_1(u1_struct_0(A), E)), D), G))  => r2_prelamb(A, k8_finseq_1(u1_struct_0(A), k8_finseq_1(u1_struct_0(A), k8_finseq_1(u1_struct_0(A), C, B), k12_finseq_1(u1_struct_0(A), k1_prelamb(A, F, E))), D), G)) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r2_prelamb(A, k8_finseq_1(u1_struct_0(A), k8_finseq_1(u1_struct_0(A), k8_finseq_1(u1_struct_0(A), B, k12_finseq_1(u1_struct_0(A), D)), k12_finseq_1(u1_struct_0(A), E)), C), F) => r2_prelamb(A, k8_finseq_1(u1_struct_0(A), k8_finseq_1(u1_struct_0(A), B, k12_finseq_1(u1_struct_0(A), k3_prelamb(A, D, E))), C), F)) ) ) ) ) ) ) ) ) ) )  &  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r2_prelamb(A, B, D) & r2_prelamb(A, C, E))  => r2_prelamb(A, k8_finseq_1(u1_struct_0(A), B, C), k3_prelamb(A, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_prelamb(A) & l2_prelamb(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_prelamb(A, k8_finseq_1(u1_struct_0(A), k12_finseq_1(u1_struct_0(A), k2_prelamb(A, B, C)), k12_finseq_1(u1_struct_0(A), C)), B) & r2_prelamb(A, k8_finseq_1(u1_struct_0(A), k12_finseq_1(u1_struct_0(A), C), k12_finseq_1(u1_struct_0(A), k1_prelamb(A, C, B))), B)) ) ) ) ) ) ) ).
fof(t13_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_prelamb(A) & l2_prelamb(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_prelamb(A, k12_finseq_1(u1_struct_0(A), B), k2_prelamb(A, C, k1_prelamb(A, B, C))) & r2_prelamb(A, k12_finseq_1(u1_struct_0(A), B), k1_prelamb(A, k2_prelamb(A, C, B), C))) ) ) ) ) ) ) ).
fof(t14_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_prelamb(A) & l2_prelamb(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r2_prelamb(A, k12_finseq_1(u1_struct_0(A), k2_prelamb(A, B, C)), k2_prelamb(A, k2_prelamb(A, B, D), k2_prelamb(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t15_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_prelamb(A) & l2_prelamb(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r2_prelamb(A, k12_finseq_1(u1_struct_0(A), k1_prelamb(A, C, B)), k1_prelamb(A, k1_prelamb(A, D, C), k1_prelamb(A, D, B)))) ) ) ) ) ) ) ) ).
fof(t16_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_prelamb(A) & l2_prelamb(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_prelamb(A, k12_finseq_1(u1_struct_0(A), B), C) =>  (r2_prelamb(A, k12_finseq_1(u1_struct_0(A), k2_prelamb(A, B, D)), k2_prelamb(A, C, D)) & r2_prelamb(A, k12_finseq_1(u1_struct_0(A), k1_prelamb(A, D, B)), k1_prelamb(A, D, C))) ) ) ) ) ) ) ) ) ) ).
fof(t17_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_prelamb(A) & l2_prelamb(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_prelamb(A, k12_finseq_1(u1_struct_0(A), B), C) =>  (r2_prelamb(A, k12_finseq_1(u1_struct_0(A), k2_prelamb(A, D, C)), k2_prelamb(A, D, B)) & r2_prelamb(A, k12_finseq_1(u1_struct_0(A), k1_prelamb(A, C, D)), k1_prelamb(A, B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t18_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_prelamb(A) & l2_prelamb(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_prelamb(A, k12_finseq_1(u1_struct_0(A), k2_prelamb(A, C, k1_prelamb(A, k2_prelamb(A, C, B), C))), k2_prelamb(A, C, B))) ) ) ) ) ) ).
fof(t19_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_prelamb(A) & l2_prelamb(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_prelamb(A, k12_finseq_1(u1_struct_0(A), B), C) =>  (r2_prelamb(A, k6_finseq_1(u1_struct_0(A)), k2_prelamb(A, C, B)) & r2_prelamb(A, k6_finseq_1(u1_struct_0(A)), k1_prelamb(A, B, C))) ) ) ) ) ) ) ) ).
fof(t20_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_prelamb(A) & l2_prelamb(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (r2_prelamb(A, k6_finseq_1(u1_struct_0(A)), k2_prelamb(A, B, B)) & r2_prelamb(A, k6_finseq_1(u1_struct_0(A)), k1_prelamb(A, B, B))) ) ) ) ) ).
fof(t21_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_prelamb(A) & l2_prelamb(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_prelamb(A, k6_finseq_1(u1_struct_0(A)), k2_prelamb(A, k2_prelamb(A, C, k1_prelamb(A, B, C)), B)) & r2_prelamb(A, k6_finseq_1(u1_struct_0(A)), k1_prelamb(A, B, k1_prelamb(A, k2_prelamb(A, C, B), C)))) ) ) ) ) ) ) ).
fof(t22_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_prelamb(A) & l2_prelamb(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_prelamb(A, k6_finseq_1(u1_struct_0(A)), k2_prelamb(A, k2_prelamb(A, k2_prelamb(A, B, D), k2_prelamb(A, C, D)), k2_prelamb(A, B, C))) & r2_prelamb(A, k6_finseq_1(u1_struct_0(A)), k1_prelamb(A, k1_prelamb(A, C, B), k1_prelamb(A, k1_prelamb(A, D, C), k1_prelamb(A, D, B))))) ) ) ) ) ) ) ) ) ).
fof(t23_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_prelamb(A) & l2_prelamb(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_prelamb(A, k6_finseq_1(u1_struct_0(A)), B) =>  (r2_prelamb(A, k6_finseq_1(u1_struct_0(A)), k2_prelamb(A, C, k2_prelamb(A, C, B))) & r2_prelamb(A, k6_finseq_1(u1_struct_0(A)), k1_prelamb(A, k1_prelamb(A, B, C), C))) ) ) ) ) ) ) ) ).
fof(t24_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_prelamb(A) & l2_prelamb(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_prelamb(A, k12_finseq_1(u1_struct_0(A), k2_prelamb(A, B, k2_prelamb(A, C, C))), B)) ) ) ) ) ) ).
fof(d19_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_prelamb(A) & l2_prelamb(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_prelamb(A, B, C) <=>  (r2_prelamb(A, k12_finseq_1(u1_struct_0(A), B), C) & r2_prelamb(A, k12_finseq_1(u1_struct_0(A), C), B)) ) ) ) ) ) ) ) ).
fof(t25_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_prelamb(A) & l2_prelamb(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r3_prelamb(A, k2_prelamb(A, B, C), k2_prelamb(A, B, k1_prelamb(A, k2_prelamb(A, B, C), B)))) ) ) ) ) ) ).
fof(t26_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_prelamb(A) & l2_prelamb(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r3_prelamb(A, k2_prelamb(A, B, k3_prelamb(A, D, C)), k2_prelamb(A, k2_prelamb(A, B, C), D))) ) ) ) ) ) ) ) ).
fof(t27_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_prelamb(A) & l2_prelamb(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r2_prelamb(A, k12_finseq_1(u1_struct_0(A), k3_prelamb(A, B, k2_prelamb(A, C, D))), k2_prelamb(A, k3_prelamb(A, B, C), D))) ) ) ) ) ) ) ) ).
fof(t28_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_prelamb(A) & l2_prelamb(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_prelamb(A, k12_finseq_1(u1_struct_0(A), B), k2_prelamb(A, k3_prelamb(A, B, C), C)) & r2_prelamb(A, k12_finseq_1(u1_struct_0(A), B), k1_prelamb(A, C, k3_prelamb(A, C, B)))) ) ) ) ) ) ) ).
fof(t29_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_prelamb(A) & l2_prelamb(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r3_prelamb(A, k3_prelamb(A, k3_prelamb(A, B, C), D), k3_prelamb(A, B, k3_prelamb(A, C, D)))) ) ) ) ) ) ) ) ).
fof(abstractness_v1_prelamb, axiom,  (! [A] :  (l1_prelamb(A) =>  (v1_prelamb(A) => A=g1_prelamb(u1_struct_0(A), u1_prelamb(A), u2_prelamb(A), u3_prelamb(A))) ) ) ).
fof(dt_l1_prelamb, axiom,  (! [A] :  (l1_prelamb(A) => l1_struct_0(A)) ) ).
fof(existence_l1_prelamb, axiom,  (? [A] : l1_prelamb(A)) ).
fof(dt_g1_prelamb, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) ) )  =>  (v1_prelamb(g1_prelamb(A, B, C, D)) & l1_prelamb(g1_prelamb(A, B, C, D))) ) ) ).
fof(free_g1_prelamb, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) ) )  =>  (! [E, F, G, H] :  (g1_prelamb(A, B, C, D)=g1_prelamb(E, F, G, H) =>  (A=E &  (B=F &  (C=G & D=H) ) ) ) ) ) ) ).
fof(dt_u1_prelamb, axiom,  (! [A] :  (l1_prelamb(A) =>  (v1_funct_1(u1_prelamb(A)) &  (v1_funct_2(u1_prelamb(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(u1_prelamb(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(dt_u2_prelamb, axiom,  (! [A] :  (l1_prelamb(A) =>  (v1_funct_1(u2_prelamb(A)) &  (v1_funct_2(u2_prelamb(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(u2_prelamb(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(dt_u3_prelamb, axiom,  (! [A] :  (l1_prelamb(A) =>  (v1_funct_1(u3_prelamb(A)) &  (v1_funct_2(u3_prelamb(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(u3_prelamb(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(dt_k1_prelamb, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k1_prelamb(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k2_prelamb, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k2_prelamb(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k3_prelamb, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k3_prelamb(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k4_prelamb, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  &  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v3_trees_2(B)) ) ) )  & m1_subset_1(C, k9_xtuple_0(B))) )  => m1_subset_1(k4_prelamb(A, B, C), u1_struct_0(A))) ) ).
fof(redefinition_k4_prelamb, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  &  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v3_trees_2(B)) ) ) )  & m1_subset_1(C, k9_xtuple_0(B))) )  => k4_prelamb(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k5_prelamb, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_relat_1(k5_prelamb(A, B)) &  (v5_relat_1(k5_prelamb(A, B), u1_struct_0(A)) &  (v1_funct_1(k5_prelamb(A, B)) &  (v1_finset_1(k5_prelamb(A, B)) & v3_trees_2(k5_prelamb(A, B))) ) ) ) ) ) ).
fof(dt_k6_prelamb, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  &  (m1_finseq_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k6_prelamb(A, B, C), k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)))) ) ).
fof(redefinition_k6_prelamb, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  &  (m1_finseq_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k6_prelamb(A, B, C)=k4_tarski(B, C)) ) ).
fof(dt_m1_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  =>  (! [B] :  (m1_prelamb(B, A) =>  (v1_relat_1(B) &  (v5_relat_1(B, k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A)), k4_ordinal1)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v3_trees_2(B)) ) ) ) ) ) ) ) ).
fof(existence_m1_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  =>  (? [B] : m1_prelamb(B, A)) ) ) ).
fof(dt_k7_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  =>  (v1_funct_1(k7_prelamb(A)) &  (v1_funct_2(k7_prelamb(A), u1_struct_0(A), k4_ordinal1) & m1_subset_1(k7_prelamb(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k4_ordinal1)))) ) ) ) ).
fof(dt_k8_prelamb, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_finseq_1(B, A) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) ) ) )  => m2_finseq_1(k8_prelamb(A, B, C), k1_numbers)) ) ).
fof(redefinition_k8_prelamb, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_finseq_1(B, A) &  (v1_funct_1(C) &  (v1_funct_2(C, A, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) ) ) )  => k8_prelamb(A, B, C)=k3_relat_1(B, C)) ) ).
fof(dt_k9_prelamb, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  & m1_prelamb(B, A))  => v7_ordinal1(k9_prelamb(A, B))) ) ).
fof(dt_m2_prelamb, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  &  ~ (v1_xboole_0(B)) )  =>  (! [C] :  (m2_prelamb(C, A, B) =>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_zfmisc_1(k3_finseq_2(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_zfmisc_1(k3_finseq_2(B)))))) ) ) ) ) ) ).
fof(existence_m2_prelamb, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  &  ~ (v1_xboole_0(B)) )  =>  (? [C] : m2_prelamb(C, A, B)) ) ) ).
fof(abstractness_v9_prelamb, axiom,  (! [A] :  (l2_prelamb(A) =>  (v9_prelamb(A) => A=g2_prelamb(u1_struct_0(A), u1_prelamb(A), u2_prelamb(A), u3_prelamb(A), u4_prelamb(A))) ) ) ).
fof(dt_l2_prelamb, axiom,  (! [A] :  (l2_prelamb(A) => l1_prelamb(A)) ) ).
fof(existence_l2_prelamb, axiom,  (? [A] : l2_prelamb(A)) ).
fof(dt_g2_prelamb, axiom,  (! [A, B, C, D, E] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), A)))) ) )  =>  (v9_prelamb(g2_prelamb(A, B, C, D, E)) & l2_prelamb(g2_prelamb(A, B, C, D, E))) ) ) ).
fof(free_g2_prelamb, axiom,  (! [A, B, C, D, E] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), A)))) ) )  =>  (! [F, G, H, I, J] :  (g2_prelamb(A, B, C, D, E)=g2_prelamb(F, G, H, I, J) =>  (A=F &  (B=G &  (C=H &  (D=I & E=J) ) ) ) ) ) ) ) ).
fof(dt_u4_prelamb, axiom,  (! [A] :  (l2_prelamb(A) => m1_subset_1(u4_prelamb(A), k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A))))) ) ).
fof(symmetry_r3_prelamb, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_prelamb(A) & l2_prelamb(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r3_prelamb(A, B, C) => r3_prelamb(A, C, B)) ) ) ).
fof(reflexivity_r3_prelamb, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_prelamb(A) & l2_prelamb(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => r3_prelamb(A, B, B)) ) ).
fof(d16_prelamb, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_prelamb(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_zfmisc_1(k3_finseq_2(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_zfmisc_1(k3_finseq_2(B)))))) )  =>  (m2_prelamb(C, A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (k3_funct_2(u1_struct_0(A), k1_zfmisc_1(k3_finseq_2(B)), C, k3_prelamb(A, D, E))=a_5_0_prelamb(A, B, C, D, E) &  (k3_funct_2(u1_struct_0(A), k1_zfmisc_1(k3_finseq_2(B)), C, k2_prelamb(A, D, E))=a_5_1_prelamb(A, B, C, D, E) & k3_funct_2(u1_struct_0(A), k1_zfmisc_1(k3_finseq_2(B)), C, k1_prelamb(A, E, D))=a_5_2_prelamb(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_5_0_prelamb, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(B))  & l1_prelamb(B))  &  ( ~ (v1_xboole_0(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), k1_zfmisc_1(k3_finseq_2(C))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_zfmisc_1(k3_finseq_2(C)))))) )  &  (m1_subset_1(E, u1_struct_0(B)) & m1_subset_1(F, u1_struct_0(B))) ) ) )  =>  (r2_hidden(A, a_5_0_prelamb(B, C, D, E, F)) <=>  (? [G, H] :  ( (m2_finseq_2(G, C, k3_finseq_2(C)) & m2_finseq_2(H, C, k3_finseq_2(C)))  &  (A=k8_finseq_1(C, G, H) &  (r2_tarski(G, k3_funct_2(u1_struct_0(B), k1_zfmisc_1(k3_finseq_2(C)), D, E)) & r2_tarski(H, k3_funct_2(u1_struct_0(B), k1_zfmisc_1(k3_finseq_2(C)), D, F))) ) ) ) ) ) ) ).
fof(fraenkel_a_5_1_prelamb, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(B))  & l1_prelamb(B))  &  ( ~ (v1_xboole_0(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), k1_zfmisc_1(k3_finseq_2(C))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_zfmisc_1(k3_finseq_2(C)))))) )  &  (m1_subset_1(E, u1_struct_0(B)) & m1_subset_1(F, u1_struct_0(B))) ) ) )  =>  (r2_hidden(A, a_5_1_prelamb(B, C, D, E, F)) <=>  (? [G] :  (m2_finseq_2(G, C, k3_finseq_2(C)) &  (A=G &  (! [H] :  (m2_finseq_2(H, C, k3_finseq_2(C)) =>  (r2_tarski(H, k3_funct_2(u1_struct_0(B), k1_zfmisc_1(k3_finseq_2(C)), D, F)) => r2_tarski(k8_finseq_1(C, G, H), k3_funct_2(u1_struct_0(B), k1_zfmisc_1(k3_finseq_2(C)), D, E))) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_5_2_prelamb, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(B))  & l1_prelamb(B))  &  ( ~ (v1_xboole_0(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), k1_zfmisc_1(k3_finseq_2(C))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_zfmisc_1(k3_finseq_2(C)))))) )  &  (m1_subset_1(E, u1_struct_0(B)) & m1_subset_1(F, u1_struct_0(B))) ) ) )  =>  (r2_hidden(A, a_5_2_prelamb(B, C, D, E, F)) <=>  (? [G] :  (m2_finseq_2(G, C, k3_finseq_2(C)) &  (A=G &  (! [H] :  (m2_finseq_2(H, C, k3_finseq_2(C)) =>  (r2_tarski(H, k3_funct_2(u1_struct_0(B), k1_zfmisc_1(k3_finseq_2(C)), D, F)) => r2_tarski(k8_finseq_1(C, H, G), k3_funct_2(u1_struct_0(B), k1_zfmisc_1(k3_finseq_2(C)), D, E))) ) ) ) ) ) ) ) ) ).
fof(fc1_prepower, axiom,  (! [A] :  (v1_int_1(A) =>  (v7_ordinal1(k9_complex1(A)) & v1_xreal_0(k9_complex1(A))) ) ) ).
fof(fc2_prepower, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v1_xreal_0(B))  => v1_xreal_0(k2_prepower(A, B))) ) ).
fof(fc3_prepower, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_int_1(B))  => v1_xreal_0(k3_prepower(A, B))) ) ).
fof(fc4_prepower, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_rat_1(B))  => v1_xreal_0(k4_prepower(A, B))) ) ).
fof(rc1_prepower, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k1_numbers) &  (v5_relat_1(A, k3_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_partfun1(A, k4_ordinal1) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v1_valued_0(A) &  (v2_valued_0(A) & v3_valued_0(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_comseq_2(B) &  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(A, k1_funct_1(B, C))) ) )  => r1_xxreal_0(A, k1_seq_2(B))) ) ) ) ) ).
fof(t2_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_comseq_2(B) &  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k1_funct_1(B, C), A)) ) )  => r1_xxreal_0(k1_seq_2(B), A)) ) ) ) ) ).
fof(d1_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (B=k1_prepower(A) <=>  (! [C] :  (v7_ordinal1(C) => k1_funct_1(B, C)=k1_newton(A, C)) ) ) ) ) ) ) ).
fof(t3_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (B=k1_prepower(A) <=>  (k1_funct_1(B, k5_numbers)=1 &  (! [C] :  (v7_ordinal1(C) => k1_funct_1(B, k1_nat_1(C, 1))=k3_xcmplx_0(k1_funct_1(B, C), A)) ) ) ) ) ) ) ) ).
fof(t4_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (A=k5_numbers)  =>  (! [B] :  (v7_ordinal1(B) =>  ~ (k1_funct_1(k1_prepower(A), B)=k5_numbers) ) ) ) ) ) ).
fof(t5_prepower, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (k5_numbers=A)  & k5_numbers=k1_newton(A, B)) ) ) ) ) ) ).
fof(t6_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  & r1_xxreal_0(k1_newton(A, B), k5_numbers)) ) ) ) ) ) ).
fof(t7_prepower, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v7_ordinal1(B) => k1_newton(k7_xcmplx_0(1, A), B)=k7_xcmplx_0(1, k1_newton(A, B))) ) ) ) ).
fof(t8_prepower, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v7_ordinal1(C) => k1_newton(k7_xcmplx_0(B, A), C)=k7_xcmplx_0(k1_newton(B, C), k1_newton(A, C))) ) ) ) ) ) ).
fof(t9_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(A, B) =>  (r1_xxreal_0(A, k5_numbers) | r1_xxreal_0(k1_newton(A, C), k1_newton(B, C))) ) ) ) ) ) ) ) ).
fof(t10_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(k5_numbers, A) &  ( ~ (r1_xxreal_0(B, A))  &  (r1_xxreal_0(1, C) & r1_xxreal_0(k1_newton(B, C), k1_newton(A, C))) ) ) ) ) ) ) ) ) ) ).
fof(t11_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(1, A) => r1_xxreal_0(1, k1_newton(A, B))) ) ) ) ) ).
fof(t12_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(1, B))  => r1_xxreal_0(A, k1_newton(A, B))) ) ) ) ) ).
fof(t13_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(A, 1))  &  (r1_xxreal_0(2, B) & r1_xxreal_0(k1_newton(A, B), A)) ) ) ) ) ) ) ).
fof(t14_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(A, 1) & r1_xxreal_0(1, B))  =>  (r1_xxreal_0(A, k5_numbers) | r1_xxreal_0(k1_newton(A, B), A)) ) ) ) ) ) ).
fof(t15_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(1, A))  &  (r1_xxreal_0(2, B) & r1_xxreal_0(A, k1_newton(A, B))) ) ) ) ) ) ) ) ).
fof(t16_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(A, k4_xcmplx_0(1)))  => r1_xxreal_0(k2_xcmplx_0(1, k3_xcmplx_0(B, A)), k1_newton(k2_xcmplx_0(1, A), B))) ) ) ) ) ).
fof(t17_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(1, A))  &  ~ (r1_xxreal_0(k1_newton(k2_xcmplx_0(1, A), B), k2_xcmplx_0(1, k3_xcmplx_0(k1_newton(3, B), A)))) ) ) ) ) ) ) ) ).
fof(t18_prepower, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_comseq_2(B) &  (! [D] :  (v7_ordinal1(D) => k1_funct_1(C, D)=k1_newton(k1_funct_1(B, D), A)) ) )  =>  (v2_comseq_2(C) & k1_seq_2(C)=k1_newton(k1_seq_2(B), A)) ) ) ) ) ) ) ) ).
fof(d2_prepower, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(1, A) =>  (! [C] :  (v1_xreal_0(C) =>  ( ( ~ (r1_xxreal_0(B, k5_numbers))  =>  (C=k2_prepower(A, B) <=>  (k1_newton(C, A)=B &  ~ (r1_xxreal_0(C, k5_numbers)) ) ) )  &  (B=k5_numbers =>  (C=k2_prepower(A, B) <=> C=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t19_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(k5_numbers, A) & r1_xxreal_0(1, B))  =>  (k1_newton(k2_prepower(B, A), B)=A & k2_prepower(B, k1_newton(A, B))=A) ) ) ) ) ) ).
fof(t20_prepower, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) => k2_prepower(A, 1)=1) ) ) ).
fof(t21_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r1_xxreal_0(k5_numbers, A) => k2_prepower(1, A)=A) ) ) ).
fof(t22_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(k5_numbers, A) &  (r1_xxreal_0(k5_numbers, B) & r1_xxreal_0(1, C)) )  => k2_prepower(C, k3_xcmplx_0(A, B))=k3_xcmplx_0(k2_prepower(C, A), k2_prepower(C, B))) ) ) ) ) ) ) ).
fof(t23_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(1, B) =>  (r1_xxreal_0(A, k5_numbers) | k2_prepower(B, k7_xcmplx_0(1, A))=k7_xcmplx_0(1, k2_prepower(B, A))) ) ) ) ) ) ).
fof(t24_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(k5_numbers, A) & r1_xxreal_0(1, C))  =>  (r1_xxreal_0(B, k5_numbers) | k2_prepower(C, k7_xcmplx_0(A, B))=k7_xcmplx_0(k2_prepower(C, A), k2_prepower(C, B))) ) ) ) ) ) ) ) ).
fof(t25_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(k5_numbers, A) &  (r1_xxreal_0(1, C) & r1_xxreal_0(1, B)) )  => k2_prepower(C, k2_prepower(B, A))=k2_prepower(k3_xcmplx_0(C, B), A)) ) ) ) ) ) ) ).
fof(t26_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(k5_numbers, A) &  (r1_xxreal_0(1, C) & r1_xxreal_0(1, B)) )  => k3_xcmplx_0(k2_prepower(C, A), k2_prepower(B, A))=k2_prepower(k3_xcmplx_0(C, B), k1_newton(A, k2_xcmplx_0(C, B)))) ) ) ) ) ) ) ).
fof(t27_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(k5_numbers, A) &  (r1_xxreal_0(A, B) & r1_xxreal_0(1, C)) )  => r1_xxreal_0(k2_prepower(C, A), k2_prepower(C, B))) ) ) ) ) ) ) ).
fof(t28_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(k5_numbers, A) &  ( ~ (r1_xxreal_0(B, A))  &  (r1_xxreal_0(1, C) & r1_xxreal_0(k2_prepower(C, B), k2_prepower(C, A))) ) ) ) ) ) ) ) ) ) ).
fof(t29_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(1, B))  =>  (r1_xxreal_0(1, k2_prepower(B, A)) & r1_xxreal_0(k2_prepower(B, A), A)) ) ) ) ) ) ).
fof(t30_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(k5_numbers, A) & r1_xxreal_0(1, B))  =>  (r1_xxreal_0(1, A) |  (r1_xxreal_0(A, k2_prepower(B, A)) &  ~ (r1_xxreal_0(1, k2_prepower(B, A))) ) ) ) ) ) ) ) ).
fof(t31_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(1, B) =>  (r1_xxreal_0(A, k5_numbers) | r1_xxreal_0(k6_xcmplx_0(k2_prepower(B, A), 1), k7_xcmplx_0(k6_xcmplx_0(A, 1), B))) ) ) ) ) ) ).
fof(t32_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r1_xxreal_0(k5_numbers, A) => k2_prepower(2, A)=k3_square_1(A)) ) ) ).
fof(t33_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(1, C) => k1_funct_1(B, C)=k2_prepower(C, A)) ) )  =>  (r1_xxreal_0(A, k5_numbers) |  (v2_comseq_2(B) & k1_seq_2(B)=1) ) ) ) ) ) ) ).
fof(d3_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_int_1(B) =>  ( (r1_xxreal_0(k5_numbers, B) => k3_prepower(A, B)=k1_newton(A, k1_int_2(B)))  &  ( ~ (r1_xxreal_0(k5_numbers, B))  => k3_prepower(A, B)=k5_xcmplx_0(k1_newton(A, k1_int_2(B)))) ) ) ) ) ) ).
fof(t34_prepower, axiom,  (! [A] :  (v1_xreal_0(A) => k3_prepower(A, k5_numbers)=1) ) ).
fof(t35_prepower, axiom,  (! [A] :  (v1_xreal_0(A) => k3_prepower(A, 1)=A) ) ).
fof(t36_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) => k3_prepower(A, B)=k1_newton(A, B)) ) ) ) ).
fof(t37_prepower, axiom,  (! [A] :  (v1_int_1(A) => k3_prepower(1, A)=1) ) ).
fof(t38_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_int_1(B) =>  ~ ( ( ~ (A=k5_numbers)  & k3_prepower(A, B)=k5_numbers) ) ) ) ) ) ).
fof(t39_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_int_1(B) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  & r1_xxreal_0(k3_prepower(A, B), k5_numbers)) ) ) ) ) ) ).
fof(t40_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_int_1(C) => k3_prepower(k3_xcmplx_0(A, B), C)=k3_xcmplx_0(k3_prepower(A, C), k3_prepower(B, C))) ) ) ) ) ) ).
fof(t41_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_int_1(B) => k3_prepower(A, k4_xcmplx_0(B))=k7_xcmplx_0(1, k3_prepower(A, B))) ) ) ) ).
fof(t42_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_int_1(B) => k3_prepower(k7_xcmplx_0(1, A), B)=k7_xcmplx_0(1, k3_prepower(A, B))) ) ) ) ).
fof(t43_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (A=k5_numbers)  => k3_prepower(A, k6_xcmplx_0(B, C))=k7_xcmplx_0(k1_newton(A, B), k1_newton(A, C))) ) ) ) ) ) ) ).
fof(t44_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ( ~ (A=k5_numbers)  => k3_prepower(A, k2_xcmplx_0(B, C))=k3_xcmplx_0(k3_prepower(A, B), k3_prepower(A, C))) ) ) ) ) ) ) ).
fof(t45_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) => k3_prepower(k3_prepower(A, B), C)=k3_prepower(A, k3_xcmplx_0(B, C))) ) ) ) ) ) ).
fof(t46_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_int_1(C) =>  (r1_xxreal_0(1, B) =>  (r1_xxreal_0(A, k5_numbers) | k3_prepower(k2_prepower(B, A), C)=k2_prepower(B, k3_prepower(A, C))) ) ) ) ) ) ) ) ).
fof(d4_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_rat_1(B) => k4_prepower(A, B)=k2_prepower(k1_rat_1(B), k3_prepower(A, k2_rat_1(B)))) ) ) ) ).
fof(t47_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_rat_1(B) =>  (B=k5_numbers => k4_prepower(A, B)=1) ) ) ) ) ).
fof(t48_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_rat_1(B) =>  (B=1 =>  (r1_xxreal_0(A, k5_numbers) | k4_prepower(A, B)=A) ) ) ) ) ) ).
fof(t49_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(k5_numbers, A) => k4_prepower(A, B)=k1_newton(A, B)) ) ) ) ) ).
fof(t50_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_rat_1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & B=k5_xcmplx_0(C))  => k4_prepower(A, B)=k2_prepower(C, A)) ) ) ) ) ) ) ).
fof(t51_prepower, axiom,  (! [A] :  (v1_rat_1(A) => k4_prepower(1, A)=1) ) ).
fof(t52_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_rat_1(B) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  & r1_xxreal_0(k4_prepower(A, B), k5_numbers)) ) ) ) ) ) ).
fof(t53_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_rat_1(B) =>  (! [C] :  (v1_rat_1(C) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k3_xcmplx_0(k4_prepower(A, B), k4_prepower(A, C))=k4_prepower(A, k2_xcmplx_0(B, C))) ) ) ) ) ) ) ).
fof(t54_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_rat_1(B) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k7_xcmplx_0(1, k4_prepower(A, B))=k4_prepower(A, k4_xcmplx_0(B))) ) ) ) ) ).
fof(t55_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_rat_1(B) =>  (! [C] :  (v1_rat_1(C) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k7_xcmplx_0(k4_prepower(A, B), k4_prepower(A, C))=k4_prepower(A, k6_xcmplx_0(B, C))) ) ) ) ) ) ) ).
fof(t56_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_rat_1(C) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  ~ (k4_prepower(k3_xcmplx_0(A, B), C)=k3_xcmplx_0(k4_prepower(A, C), k4_prepower(B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t57_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_rat_1(B) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k4_prepower(k7_xcmplx_0(1, A), B)=k7_xcmplx_0(1, k4_prepower(A, B))) ) ) ) ) ).
fof(t58_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_rat_1(C) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  ~ (k4_prepower(k7_xcmplx_0(A, B), C)=k7_xcmplx_0(k4_prepower(A, C), k4_prepower(B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t59_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_rat_1(B) =>  (! [C] :  (v1_rat_1(C) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k4_prepower(k4_prepower(A, B), C)=k4_prepower(A, k3_xcmplx_0(B, C))) ) ) ) ) ) ) ).
fof(t60_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_rat_1(B) =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(k5_numbers, B))  => r1_xxreal_0(1, k4_prepower(A, B))) ) ) ) ) ).
fof(t61_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_rat_1(B) =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(B, k5_numbers))  => r1_xxreal_0(k4_prepower(A, B), 1)) ) ) ) ) ).
fof(t62_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_rat_1(B) =>  ~ ( ( ~ (r1_xxreal_0(A, 1))  &  ( ~ (r1_xxreal_0(B, k5_numbers))  & r1_xxreal_0(k4_prepower(A, B), 1)) ) ) ) ) ) ) ).
fof(t63_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_rat_1(B) =>  (! [C] :  (v1_rat_1(C) =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(C, B))  => r1_xxreal_0(k4_prepower(A, C), k4_prepower(A, B))) ) ) ) ) ) ) ).
fof(t64_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_rat_1(B) =>  (! [C] :  (v1_rat_1(C) =>  ~ ( ( ~ (r1_xxreal_0(A, 1))  &  ( ~ (r1_xxreal_0(B, C))  & r1_xxreal_0(k4_prepower(A, B), k4_prepower(A, C))) ) ) ) ) ) ) ) ) ).
fof(t65_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_rat_1(B) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(1, A))  &  ( ~ (r1_xxreal_0(B, k5_numbers))  & r1_xxreal_0(1, k4_prepower(A, B))) ) ) ) ) ) ) ) ).
fof(t66_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_rat_1(B) =>  ( (r1_xxreal_0(A, 1) & r1_xxreal_0(B, k5_numbers))  =>  (r1_xxreal_0(A, k5_numbers) | r1_xxreal_0(1, k4_prepower(A, B))) ) ) ) ) ) ).
fof(t67_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (? [B] :  ( (v5_relat_1(B, k3_numbers) &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  &  (v2_comseq_2(B) &  (k1_seq_2(B)=A &  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k1_funct_1(B, C), A)) ) ) ) ) ) ) ) ).
fof(t68_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (? [B] :  ( (v5_relat_1(B, k3_numbers) &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  &  (v2_comseq_2(B) &  (k1_seq_2(B)=A &  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(A, k1_funct_1(B, C))) ) ) ) ) ) ) ) ).
fof(d6_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v5_relat_1(B, k3_numbers) &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (C=k5_prepower(A, B) <=>  (! [D] :  (v7_ordinal1(D) => k1_funct_1(C, D)=k4_prepower(A, k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ).
fof(t69_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v5_relat_1(B, k3_numbers) &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (v2_comseq_2(B) =>  (r1_xxreal_0(A, k5_numbers) | v2_comseq_2(k5_prepower(A, B))) ) ) ) ) ) ).
fof(t70_prepower, axiom,  (! [A] :  ( (v5_relat_1(A, k3_numbers) &  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [B] :  ( (v5_relat_1(B, k3_numbers) &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (! [C] :  (v1_xreal_0(C) =>  ( (v2_comseq_2(A) &  (v2_comseq_2(B) & k1_seq_2(A)=k1_seq_2(B)) )  =>  (r1_xxreal_0(C, k5_numbers) |  (v2_comseq_2(k5_prepower(C, A)) &  (v2_comseq_2(k5_prepower(C, B)) & k1_seq_2(k5_prepower(C, A))=k1_seq_2(k5_prepower(C, B))) ) ) ) ) ) ) ) ) ) ).
fof(d7_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  =>  (! [C] :  (v1_xreal_0(C) =>  (C=k6_prepower(A, B) <=>  (? [D] :  ( (v5_relat_1(D, k3_numbers) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  &  (v2_comseq_2(D) &  (k1_seq_2(D)=B &  (v2_comseq_2(k5_prepower(A, D)) & k1_seq_2(k5_prepower(A, D))=C) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k6_prepower(A, k5_numbers)=1) ) ) ).
fof(t72_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k6_prepower(A, 1)=A) ) ) ).
fof(t73_prepower, axiom,  (! [A] :  (v1_xreal_0(A) => k6_prepower(1, A)=1) ) ).
fof(t74_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_rat_1(B) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k6_prepower(A, B)=k4_prepower(A, B)) ) ) ) ) ).
fof(t75_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k6_prepower(A, k2_xcmplx_0(B, C))=k3_xcmplx_0(k6_prepower(A, B), k6_prepower(A, C))) ) ) ) ) ) ) ).
fof(t76_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k6_prepower(A, k4_xcmplx_0(B))=k7_xcmplx_0(1, k6_prepower(A, B))) ) ) ) ) ).
fof(t77_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k6_prepower(A, k6_xcmplx_0(B, C))=k7_xcmplx_0(k6_prepower(A, B), k6_prepower(A, C))) ) ) ) ) ) ) ).
fof(t78_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  ~ (k6_prepower(k3_xcmplx_0(A, B), C)=k3_xcmplx_0(k6_prepower(A, C), k6_prepower(B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t79_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k6_prepower(k7_xcmplx_0(1, A), B)=k7_xcmplx_0(1, k6_prepower(A, B))) ) ) ) ) ).
fof(t80_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  ~ (k6_prepower(k7_xcmplx_0(A, B), C)=k7_xcmplx_0(k6_prepower(A, C), k6_prepower(B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t81_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  & r1_xxreal_0(k6_prepower(A, B), k5_numbers)) ) ) ) ) ) ).
fof(t82_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(B, C))  => r1_xxreal_0(k6_prepower(A, B), k6_prepower(A, C))) ) ) ) ) ) ) ).
fof(t83_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(A, 1))  &  ( ~ (r1_xxreal_0(C, B))  & r1_xxreal_0(k6_prepower(A, C), k6_prepower(A, B))) ) ) ) ) ) ) ) ) ).
fof(t84_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_xxreal_0(A, 1) & r1_xxreal_0(B, C))  =>  (r1_xxreal_0(A, k5_numbers) | r1_xxreal_0(k6_prepower(A, C), k6_prepower(A, B))) ) ) ) ) ) ) ) ).
fof(t85_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(k5_numbers, B))  => r1_xxreal_0(1, k6_prepower(A, B))) ) ) ) ) ).
fof(t86_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, 1))  &  ( ~ (r1_xxreal_0(B, k5_numbers))  & r1_xxreal_0(k6_prepower(A, B), 1)) ) ) ) ) ) ) ).
fof(t87_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(B, k5_numbers))  => r1_xxreal_0(k6_prepower(A, B), 1)) ) ) ) ) ).
fof(t88_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, 1))  &  ( ~ (r1_xxreal_0(k5_numbers, B))  & r1_xxreal_0(1, k6_prepower(A, B))) ) ) ) ) ) ) ).
fof(t89_prepower, axiom,  (! [A] :  (v1_rat_1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_comseq_2(B) &  (v2_comseq_2(C) &  (! [D] :  (v7_ordinal1(D) =>  ( ~ (r1_xxreal_0(k1_funct_1(B, D), k5_numbers))  & k1_funct_1(C, D)=k4_prepower(k1_funct_1(B, D), A)) ) ) ) )  =>  (r1_xxreal_0(k1_seq_2(B), k5_numbers) | k1_seq_2(C)=k4_prepower(k1_seq_2(B), A)) ) ) ) ) ) ) ) ).
fof(t90_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_comseq_2(B) &  (v2_comseq_2(C) &  (! [D] :  (v7_ordinal1(D) => k1_funct_1(C, D)=k6_prepower(A, k1_funct_1(B, D))) ) ) )  =>  (r1_xxreal_0(A, k5_numbers) | k1_seq_2(C)=k6_prepower(A, k1_seq_2(B))) ) ) ) ) ) ) ) ).
fof(t91_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k6_prepower(k6_prepower(A, B), C)=k6_prepower(A, k3_xcmplx_0(B, C))) ) ) ) ) ) ) ).
fof(t92_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  (! [C] :  (v7_ordinal1(C) =>  ~ (r1_xxreal_0(k7_xcmplx_0(B, k1_newton(2, C)), A)) ) ) ) ) ) ) ) ) ) ).
fof(t93_prepower, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(A, C) & r1_xxreal_0(1, B))  => r1_xxreal_0(k1_newton(B, A), k1_newton(B, C))) ) ) ) ) ) ) ).
fof(t94_prepower, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_nat_d(A, B) & r1_nat_d(A, C))  => r1_int_1(A, k6_xcmplx_0(B, C))) ) ) ) ) ) ) ).
fof(t95_prepower, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_nat_d(A, B) <=> r1_int_1(A, B)) ) ) ) ) ).
fof(t96_prepower, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k6_nat_d(A, B)=k6_nat_d(A, k1_int_2(k6_xcmplx_0(B, A)))) ) ) ) ).
fof(t97_prepower, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  ( (r1_xxreal_0(k5_numbers, A) & r1_xxreal_0(k5_numbers, B))  => k3_int_2(A, B)=k3_int_2(A, k6_xcmplx_0(B, A))) ) ) ) ) ).
fof(t98_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_int_1(B) =>  (r1_xxreal_0(k5_numbers, A) => r1_xxreal_0(k5_numbers, k3_prepower(A, B))) ) ) ) ) ).
fof(t99_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_int_1(B) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k4_prepower(A, B)=k3_prepower(A, B)) ) ) ) ) ).
fof(t100_prepower, axiom,  (! [A] :  (v1_int_1(A) =>  ( ~ (A=k5_numbers)  => k3_prepower(k5_numbers, A)=k5_numbers) ) ) ).
fof(dt_k1_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_funct_1(k1_prepower(A)) &  (v1_funct_2(k1_prepower(A), k4_ordinal1, k1_numbers) & m1_subset_1(k1_prepower(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k2_prepower, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v1_xreal_0(B))  => v1_xreal_0(k2_prepower(A, B))) ) ).
fof(dt_k5_prepower, axiom,  (! [A, B] :  ( (v1_xreal_0(A) &  (v5_relat_1(B, k3_numbers) &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) )  =>  (v1_funct_1(k5_prepower(A, B)) &  (v1_funct_2(k5_prepower(A, B), k4_ordinal1, k1_numbers) & m1_subset_1(k5_prepower(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k6_prepower, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k6_prepower(A, B))) ) ).
fof(t1_prgcor_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k7_nat_d(k2_xcmplx_0(A, C), k2_xcmplx_0(B, C))=k7_nat_d(A, B)) ) ) ) ) ) ).
fof(t2_prgcor_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (r1_xxreal_0(B, k4_nat_d(A, k2_nat_1(2, B))) =>  (r1_xxreal_0(B, k5_numbers) |  (k6_xcmplx_0(k4_nat_d(A, k2_nat_1(2, B)), B)=k4_nat_d(A, B) & k1_nat_1(k4_nat_d(A, B), B)=k4_nat_d(A, k2_nat_1(2, B))) ) ) ) ) ) ) ).
fof(t3_prgcor_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (r1_xxreal_0(B, k4_nat_d(A, k2_nat_1(2, B))) =>  (r1_xxreal_0(B, k5_numbers) | k3_nat_d(A, B)=k1_nat_1(k2_nat_1(k3_nat_d(A, k2_nat_1(2, B)), 2), 1)) ) ) ) ) ) ).
fof(t4_prgcor_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  ( ~ (r1_xxreal_0(B, k4_nat_d(A, k2_nat_1(2, B))))  &  ~ (k4_nat_d(A, k2_nat_1(2, B))=k4_nat_d(A, B)) ) ) ) ) ) ) ) ).
fof(t5_prgcor_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  ( ~ (r1_xxreal_0(B, k4_nat_d(A, k2_nat_1(2, B))))  &  ~ (k3_nat_d(A, B)=k2_nat_1(k3_nat_d(A, k2_nat_1(2, B)), 2)) ) ) ) ) ) ) ) ).
fof(t6_prgcor_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ ( ( (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( ~ (r1_xxreal_0(C, D))  => r1_xxreal_0(k2_nat_1(A, k11_newton(2, D)), B)) ) )  &  ~ (r1_xxreal_0(k2_nat_1(A, k11_newton(2, C)), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_prgcor_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, k3_finseq_1(B)))  => r2_hidden(A, k4_finseq_1(B))) ) ) ) ) ).
fof(d1_prgcor_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (r1_xxreal_0(k5_numbers, A) =>  (r1_xxreal_0(B, k5_numbers) |  (! [C] :  (v1_int_1(C) =>  (C=k1_prgcor_1(A, B) <=>  (? [D] :  (m2_finseq_1(D, k4_numbers) &  (? [E] :  (m2_finseq_1(E, k4_numbers) &  (? [F] :  (m2_finseq_1(F, k4_numbers) &  (k3_finseq_1(D)=k2_xcmplx_0(A, 1) &  (k3_finseq_1(E)=k2_xcmplx_0(A, 1) &  (k3_finseq_1(F)=k2_xcmplx_0(A, 1) &  ( ( ~ (r1_xxreal_0(B, A))  => C=k5_numbers)  &  (r1_xxreal_0(B, A) =>  (k1_funct_1(D, 1)=B &  (? [G] :  (v1_int_1(G) &  (r1_xxreal_0(1, G) &  (r1_xxreal_0(G, A) &  ( (! [H] :  (v1_int_1(H) =>  (r1_xxreal_0(1, H) =>  (r1_xxreal_0(G, H) |  (k1_funct_1(D, k2_xcmplx_0(H, 1))=k3_xcmplx_0(k1_funct_1(D, H), 2) & r1_xxreal_0(k1_funct_1(D, k2_xcmplx_0(H, 1)), A)) ) ) ) )  &  (k1_funct_1(D, k2_xcmplx_0(G, 1))=k3_xcmplx_0(k1_funct_1(D, G), 2) &  ( ~ (r1_xxreal_0(k1_funct_1(D, k2_xcmplx_0(G, 1)), A))  &  (k1_funct_1(F, k2_xcmplx_0(G, 1))=k5_numbers &  (k1_funct_1(E, k2_xcmplx_0(G, 1))=A &  ( (! [H] :  (v1_int_1(H) =>  ( (r1_xxreal_0(1, H) & r1_xxreal_0(H, G))  =>  ( (r1_xxreal_0(k1_funct_1(D, k6_xcmplx_0(k2_xcmplx_0(G, 1), H)), k1_funct_1(E, k6_xcmplx_0(k2_xcmplx_0(G, 1), k6_xcmplx_0(H, 1)))) =>  (k1_funct_1(E, k6_xcmplx_0(k2_xcmplx_0(G, 1), H))=k6_xcmplx_0(k1_funct_1(E, k6_xcmplx_0(k2_xcmplx_0(G, 1), k6_xcmplx_0(H, 1))), k1_funct_1(D, k6_xcmplx_0(k2_xcmplx_0(G, 1), H))) & k1_funct_1(F, k6_xcmplx_0(k2_xcmplx_0(G, 1), H))=k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(F, k6_xcmplx_0(k2_xcmplx_0(G, 1), k6_xcmplx_0(H, 1))), 2), 1)) )  &  ( ~ (r1_xxreal_0(k1_funct_1(D, k6_xcmplx_0(k2_xcmplx_0(G, 1), H)), k1_funct_1(E, k6_xcmplx_0(k2_xcmplx_0(G, 1), k6_xcmplx_0(H, 1)))))  =>  (k1_funct_1(E, k6_xcmplx_0(k2_xcmplx_0(G, 1), H))=k1_funct_1(E, k6_xcmplx_0(k2_xcmplx_0(G, 1), k6_xcmplx_0(H, 1))) & k1_funct_1(F, k6_xcmplx_0(k2_xcmplx_0(G, 1), H))=k3_xcmplx_0(k1_funct_1(F, k6_xcmplx_0(k2_xcmplx_0(G, 1), k6_xcmplx_0(H, 1))), 2)) ) ) ) ) )  & C=k1_funct_1(F, 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_prgcor_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (r1_xxreal_0(k5_numbers, A) =>  (! [C] :  (m2_finseq_1(C, k4_numbers) =>  (! [D] :  (m2_finseq_1(D, k4_numbers) =>  (! [E] :  (m2_finseq_1(E, k4_numbers) =>  (! [F] :  (v1_int_1(F) =>  ( (k3_finseq_1(C)=k2_xcmplx_0(A, 1) &  (k3_finseq_1(D)=k2_xcmplx_0(A, 1) & k3_finseq_1(E)=k2_xcmplx_0(A, 1)) )  =>  ( (r1_xxreal_0(B, A) &  ~ ( (k1_funct_1(C, 1)=B &  (r1_xxreal_0(1, F) &  (r1_xxreal_0(F, A) &  ( (! [G] :  (v1_int_1(G) =>  (r1_xxreal_0(1, G) =>  (r1_xxreal_0(F, G) |  (k1_funct_1(C, k2_xcmplx_0(G, 1))=k3_xcmplx_0(k1_funct_1(C, G), 2) & r1_xxreal_0(k1_funct_1(C, k2_xcmplx_0(G, 1)), A)) ) ) ) )  &  (k1_funct_1(C, k2_xcmplx_0(F, 1))=k3_xcmplx_0(k1_funct_1(C, F), 2) &  ( ~ (r1_xxreal_0(k1_funct_1(C, k2_xcmplx_0(F, 1)), A))  &  (k1_funct_1(E, k2_xcmplx_0(F, 1))=k5_numbers &  (k1_funct_1(D, k2_xcmplx_0(F, 1))=A &  ( (! [G] :  (v1_int_1(G) =>  ( (r1_xxreal_0(1, G) & r1_xxreal_0(G, F))  =>  ( (r1_xxreal_0(k1_funct_1(C, k6_xcmplx_0(k2_xcmplx_0(F, 1), G)), k1_funct_1(D, k6_xcmplx_0(k2_xcmplx_0(F, 1), k6_xcmplx_0(G, 1)))) =>  (k1_funct_1(D, k6_xcmplx_0(k2_xcmplx_0(F, 1), G))=k6_xcmplx_0(k1_funct_1(D, k6_xcmplx_0(k2_xcmplx_0(F, 1), k6_xcmplx_0(G, 1))), k1_funct_1(C, k6_xcmplx_0(k2_xcmplx_0(F, 1), G))) & k1_funct_1(E, k6_xcmplx_0(k2_xcmplx_0(F, 1), G))=k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(E, k6_xcmplx_0(k2_xcmplx_0(F, 1), k6_xcmplx_0(G, 1))), 2), 1)) )  &  ( ~ (r1_xxreal_0(k1_funct_1(C, k6_xcmplx_0(k2_xcmplx_0(F, 1), G)), k1_funct_1(D, k6_xcmplx_0(k2_xcmplx_0(F, 1), k6_xcmplx_0(G, 1)))))  =>  (k1_funct_1(D, k6_xcmplx_0(k2_xcmplx_0(F, 1), G))=k1_funct_1(D, k6_xcmplx_0(k2_xcmplx_0(F, 1), k6_xcmplx_0(G, 1))) & k1_funct_1(E, k6_xcmplx_0(k2_xcmplx_0(F, 1), G))=k3_xcmplx_0(k1_funct_1(E, k6_xcmplx_0(k2_xcmplx_0(F, 1), k6_xcmplx_0(G, 1))), 2)) ) ) ) ) )  & k1_prgcor_1(A, B)=k1_funct_1(E, 1)) ) ) ) ) ) ) ) ) ) )  |  (k3_finseq_1(C)=k2_xcmplx_0(A, 1) &  (k3_finseq_1(D)=k2_xcmplx_0(A, 1) &  (k3_finseq_1(E)=k2_xcmplx_0(A, 1) &  ( ( ~ (r1_xxreal_0(B, A))  => k1_prgcor_1(A, B)=k5_numbers)  &  (r1_xxreal_0(B, A) =>  (r2_tarski(1, k1_relset_1(k4_ordinal1, C)) &  (k1_funct_1(C, 1)=B &  (r1_xxreal_0(1, F) &  (r1_xxreal_0(F, A) &  ( (! [G] :  (v1_int_1(G) =>  (r1_xxreal_0(1, G) =>  (r1_xxreal_0(F, G) |  (r2_tarski(k2_xcmplx_0(G, 1), k1_relset_1(k4_ordinal1, C)) &  (r2_hidden(G, k1_relset_1(k4_ordinal1, C)) &  (k1_funct_1(C, k2_xcmplx_0(G, 1))=k3_xcmplx_0(k1_funct_1(C, G), 2) & r1_xxreal_0(k1_funct_1(C, k2_xcmplx_0(G, 1)), A)) ) ) ) ) ) )  &  (r2_tarski(k2_xcmplx_0(F, 1), k1_relset_1(k4_ordinal1, C)) &  (r2_hidden(F, k1_relset_1(k4_ordinal1, C)) &  (k1_funct_1(C, k2_xcmplx_0(F, 1))=k3_xcmplx_0(k1_funct_1(C, F), 2) &  ( ~ (r1_xxreal_0(k1_funct_1(C, k2_xcmplx_0(F, 1)), A))  &  (r2_tarski(k2_xcmplx_0(F, 1), k1_relset_1(k4_ordinal1, E)) &  (k1_funct_1(E, k2_xcmplx_0(F, 1))=k5_numbers &  (r2_tarski(k2_xcmplx_0(F, 1), k1_relset_1(k4_ordinal1, D)) &  (k1_funct_1(D, k2_xcmplx_0(F, 1))=A &  ( (! [G] :  (v1_int_1(G) =>  ( (r1_xxreal_0(1, G) & r1_xxreal_0(G, F))  =>  (r2_tarski(k6_xcmplx_0(k2_xcmplx_0(F, 1), k6_xcmplx_0(G, 1)), k1_relset_1(k4_ordinal1, D)) &  (r2_tarski(k6_xcmplx_0(k2_xcmplx_0(F, 1), G), k1_relset_1(k4_ordinal1, C)) &  ( (r1_xxreal_0(k1_funct_1(C, k6_xcmplx_0(k2_xcmplx_0(F, 1), G)), k1_funct_1(D, k6_xcmplx_0(k2_xcmplx_0(F, 1), k6_xcmplx_0(G, 1)))) =>  (r2_tarski(k6_xcmplx_0(k2_xcmplx_0(F, 1), G), k1_relset_1(k4_ordinal1, D)) &  (r2_tarski(k6_xcmplx_0(k2_xcmplx_0(F, 1), G), k1_relset_1(k4_ordinal1, C)) &  (k1_funct_1(D, k6_xcmplx_0(k2_xcmplx_0(F, 1), G))=k6_xcmplx_0(k1_funct_1(D, k6_xcmplx_0(k2_xcmplx_0(F, 1), k6_xcmplx_0(G, 1))), k1_funct_1(C, k6_xcmplx_0(k2_xcmplx_0(F, 1), G))) &  (r2_tarski(k6_xcmplx_0(k2_xcmplx_0(F, 1), G), k1_relset_1(k4_ordinal1, E)) &  (r2_tarski(k6_xcmplx_0(k2_xcmplx_0(F, 1), k6_xcmplx_0(G, 1)), k1_relset_1(k4_ordinal1, E)) & k1_funct_1(E, k6_xcmplx_0(k2_xcmplx_0(F, 1), G))=k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(E, k6_xcmplx_0(k2_xcmplx_0(F, 1), k6_xcmplx_0(G, 1))), 2), 1)) ) ) ) ) )  &  ( ~ (r1_xxreal_0(k1_funct_1(C, k6_xcmplx_0(k2_xcmplx_0(F, 1), G)), k1_funct_1(D, k6_xcmplx_0(k2_xcmplx_0(F, 1), k6_xcmplx_0(G, 1)))))  =>  (r2_tarski(k6_xcmplx_0(k2_xcmplx_0(F, 1), G), k1_relset_1(k4_ordinal1, D)) &  (r2_tarski(k6_xcmplx_0(k2_xcmplx_0(F, 1), k6_xcmplx_0(G, 1)), k1_relset_1(k4_ordinal1, D)) &  (k1_funct_1(D, k6_xcmplx_0(k2_xcmplx_0(F, 1), G))=k1_funct_1(D, k6_xcmplx_0(k2_xcmplx_0(F, 1), k6_xcmplx_0(G, 1))) &  (r2_tarski(k6_xcmplx_0(k2_xcmplx_0(F, 1), G), k1_relset_1(k4_ordinal1, E)) &  (r2_tarski(k6_xcmplx_0(k2_xcmplx_0(F, 1), k6_xcmplx_0(G, 1)), k1_relset_1(k4_ordinal1, E)) & k1_funct_1(E, k6_xcmplx_0(k2_xcmplx_0(F, 1), G))=k3_xcmplx_0(k1_funct_1(E, k6_xcmplx_0(k2_xcmplx_0(F, 1), k6_xcmplx_0(G, 1))), 2)) ) ) ) ) ) ) ) ) ) ) )  &  (r2_tarski(1, k1_relset_1(k4_ordinal1, E)) & k1_prgcor_1(A, B)=k1_funct_1(E, 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_prgcor_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  => k1_prgcor_1(A, B)=k3_nat_d(A, B)) ) ) ) ) ).
fof(t10_prgcor_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (r1_xxreal_0(k5_numbers, A) =>  (r1_xxreal_0(B, k5_numbers) | k1_prgcor_1(A, B)=k4_int_1(A, B)) ) ) ) ) ) ).
fof(t11_prgcor_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( ( (B=k5_numbers &  (C=A & D=B) )  =>  (k4_int_1(A, B)=k5_numbers & k3_nat_d(C, D)=k5_numbers) )  &  ( ( (r1_xxreal_0(k5_numbers, A) &  (C=A & D=B) )  =>  (r1_xxreal_0(B, k5_numbers) | k4_int_1(A, B)=k3_nat_d(C, D)) )  &  ( ( (r1_xxreal_0(k5_numbers, A) &  (C=A & D=k4_xcmplx_0(B)) )  =>  (r1_xxreal_0(k5_numbers, B) |  ( (k2_nat_1(D, k3_nat_d(C, D))=C => k4_int_1(A, B)=k4_xcmplx_0(k3_nat_d(C, D)))  &  ( ~ (k2_nat_1(D, k3_nat_d(C, D))=C)  => k4_int_1(A, B)=k6_xcmplx_0(k4_xcmplx_0(k3_nat_d(C, D)), 1)) ) ) )  &  ( ( (C=k4_xcmplx_0(A) & D=B)  =>  (r1_xxreal_0(k5_numbers, A) |  (r1_xxreal_0(B, k5_numbers) |  ( (k2_nat_1(D, k3_nat_d(C, D))=C => k4_int_1(A, B)=k4_xcmplx_0(k3_nat_d(C, D)))  &  ( ~ (k2_nat_1(D, k3_nat_d(C, D))=C)  => k4_int_1(A, B)=k6_xcmplx_0(k4_xcmplx_0(k3_nat_d(C, D)), 1)) ) ) ) )  &  ( (C=k4_xcmplx_0(A) & D=k4_xcmplx_0(B))  =>  (r1_xxreal_0(k5_numbers, A) |  (r1_xxreal_0(k5_numbers, B) | k4_int_1(A, B)=k3_nat_d(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_prgcor_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (C=k2_prgcor_1(A, B) <=>  (? [D] :  (v1_int_1(D) &  ( (B=k5_numbers => C=k5_numbers)  &  ( ~ (B=k5_numbers)  =>  ( (r1_xxreal_0(k5_numbers, A) =>  (r1_xxreal_0(B, k5_numbers) | C=k1_prgcor_1(A, B)) )  &  ( ~ ( (r1_xxreal_0(k5_numbers, A) &  ~ (r1_xxreal_0(B, k5_numbers)) ) )  =>  ( (r1_xxreal_0(k5_numbers, A) =>  (r1_xxreal_0(k5_numbers, B) |  (D=k1_prgcor_1(A, k4_xcmplx_0(B)) &  ( (k3_xcmplx_0(k4_xcmplx_0(B), D)=A => C=k4_xcmplx_0(D))  &  ( ~ (k3_xcmplx_0(k4_xcmplx_0(B), D)=A)  => C=k6_xcmplx_0(k4_xcmplx_0(D), 1)) ) ) ) )  &  ( ~ ( (r1_xxreal_0(k5_numbers, A) &  ~ (r1_xxreal_0(k5_numbers, B)) ) )  =>  ( ~ ( ( ~ (r1_xxreal_0(k5_numbers, A))  &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  ~ ( (D=k1_prgcor_1(k4_xcmplx_0(A), B) &  ( (k3_xcmplx_0(B, D)=k4_xcmplx_0(A) => C=k4_xcmplx_0(D))  &  ( ~ (k3_xcmplx_0(B, D)=k4_xcmplx_0(A))  => C=k6_xcmplx_0(k4_xcmplx_0(D), 1)) ) ) ) ) ) )  &  ( ~ ( ( ~ (r1_xxreal_0(k5_numbers, A))  &  ~ (r1_xxreal_0(B, k5_numbers)) ) )  => C=k1_prgcor_1(k4_xcmplx_0(A), k4_xcmplx_0(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_prgcor_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) => k2_prgcor_1(A, B)=k4_int_1(A, B)) ) ) ) ).
fof(dt_k1_prgcor_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k1_prgcor_1(A, B))) ) ).
fof(dt_k2_prgcor_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k2_prgcor_1(A, B))) ) ).
fof(d1_prgcor_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  =>  (! [C] :  (m2_finseq_1(C, A) =>  (r1_prgcor_2(A, B, C) <=>  (r1_tarski(k4_ordinal1, A) &  (k1_funct_1(B, k5_numbers)=k3_finseq_1(C) &  ( ~ (r1_xxreal_0(k1_afinsq_1(B), k3_finseq_1(C)))  &  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, k3_finseq_1(C)))  => k1_funct_1(B, D)=k1_funct_1(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_prgcor_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  =>  ( (r1_tarski(k4_ordinal1, A) &  (v7_ordinal1(k1_funct_1(B, k5_numbers)) & r2_tarski(k1_funct_1(B, k5_numbers), k2_afinsq_1(B))) )  => r1_prgcor_2(A, B, k12_afinsq_1(A, B))) ) ) ) ) ).
fof(d2_prgcor_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (r2_hidden(A, B) => k1_prgcor_2(A, B, C, D, E)=C)  &  ( (A=B => k1_prgcor_2(A, B, C, D, E)=D)  &  ~ ( ( ~ (r2_hidden(A, B))  &  ( ~ (A=B)  &  ~ (k1_prgcor_2(A, B, C, D, E)=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_prgcor_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_tarski(k4_ordinal1, A) &  ( ~ (r1_xxreal_0(C, k3_finseq_1(B)))  &  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, A) &  (v5_ordinal1(D) &  (v1_funct_1(D) & v1_finset_1(D)) ) ) )  =>  ~ ( (k1_afinsq_1(D)=C & r1_prgcor_2(A, D, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_prgcor_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k1_numbers) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  =>  (v7_ordinal1(k1_funct_1(B, k5_numbers)) =>  (r1_xxreal_0(k1_afinsq_1(A), k1_funct_1(B, k5_numbers)) |  (! [C] :  (v1_xreal_0(C) =>  (C=k2_prgcor_2(A, B) <=>  (? [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, k1_numbers) &  (v5_ordinal1(D) &  (v1_funct_1(D) & v1_finset_1(D)) ) ) )  &  (? [E] :  (v1_int_1(E) &  (k1_afinsq_1(D)=k1_afinsq_1(A) &  (k1_funct_1(D, k5_numbers)=k5_numbers &  (E=k1_funct_1(B, k5_numbers) &  ( ( ~ (E=k5_numbers)  =>  (! [F] :  (v7_ordinal1(F) =>  ( ~ (r1_xxreal_0(E, F))  => k1_funct_1(D, k1_nat_1(F, 1))=k2_xcmplx_0(k1_funct_1(D, F), k3_xcmplx_0(k1_funct_1(A, k1_nat_1(F, 1)), k1_funct_1(B, k1_nat_1(F, 1))))) ) ) )  & C=k1_funct_1(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_prgcor_2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k1_numbers) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  =>  ( (k1_funct_1(B, k5_numbers)=k5_numbers &  (! [C] :  (v7_ordinal1(C) =>  ( ~ (r1_xxreal_0(k3_finseq_1(A), C))  => k1_funct_1(B, k1_nat_1(C, 1))=k2_xcmplx_0(k1_funct_1(B, C), k1_funct_1(A, k1_nat_1(C, 1)))) ) ) )  => k18_rvsum_1(A)=k1_funct_1(B, k3_finseq_1(A))) ) ) ) ) ).
fof(t4_prgcor_2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (? [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k1_numbers) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  &  (k1_afinsq_1(B)=k1_nat_1(k3_finseq_1(A), 1) &  (k1_funct_1(B, k5_numbers)=k5_numbers &  ( (! [C] :  (v7_ordinal1(C) =>  ( ~ (r1_xxreal_0(k3_finseq_1(A), C))  => k1_funct_1(B, k1_nat_1(C, 1))=k2_xcmplx_0(k1_funct_1(B, C), k1_funct_1(A, k1_nat_1(C, 1)))) ) )  & k18_rvsum_1(A)=k1_funct_1(B, k3_finseq_1(A))) ) ) ) ) ) ) ).
fof(t5_prgcor_2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  (v7_ordinal1(C) =>  (k3_finseq_1(A)=k3_finseq_1(B) =>  (r1_xxreal_0(C, k3_finseq_1(A)) | k22_rvsum_1(A, B)=k2_prgcor_2(k11_afinsq_1(k1_numbers, A, C), k11_afinsq_1(k1_numbers, B, C))) ) ) ) ) ) ) ) ).
fof(d4_prgcor_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k1_numbers) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_int_1(D) =>  (r2_prgcor_2(A, B, C, D) <=>  (k1_afinsq_1(B)=D &  (k1_afinsq_1(A)=D &  (? [E] :  (v1_int_1(E) &  (k1_funct_1(B, k5_numbers)=k1_funct_1(A, k5_numbers) &  (E=k1_funct_1(A, k5_numbers) &  ( ~ (E=k5_numbers)  =>  (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(1, F) & r1_xxreal_0(F, E))  => k1_funct_1(B, F)=k3_xcmplx_0(C, k1_funct_1(A, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_prgcor_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  ( ~ (v1_xboole_0(A))  &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (v7_ordinal1(k1_funct_1(A, k5_numbers)) & k1_afinsq_1(A)=C)  =>  (r1_xxreal_0(C, k1_funct_1(A, k5_numbers)) |  ( (? [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, k1_numbers) &  (v5_ordinal1(D) &  (v1_funct_1(D) & v1_finset_1(D)) ) ) )  & r2_prgcor_2(A, D, B, C)) )  &  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, k1_numbers) &  ( ~ (v1_xboole_0(D))  &  (v5_ordinal1(D) &  (v1_funct_1(D) & v1_finset_1(D)) ) ) ) )  =>  (r2_prgcor_2(A, D, B, C) => k12_afinsq_1(k1_numbers, D)=k10_rvsum_1(k12_afinsq_1(k1_numbers, A), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_prgcor_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k1_numbers) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  =>  (! [C] :  (v1_int_1(C) =>  (r3_prgcor_2(A, B, C) <=>  (k1_afinsq_1(B)=C &  (k1_afinsq_1(A)=C &  (? [D] :  (v1_int_1(D) &  (k1_funct_1(B, k5_numbers)=k1_funct_1(A, k5_numbers) &  (D=k1_funct_1(A, k5_numbers) &  ( ~ (D=k5_numbers)  =>  (! [E] :  (v7_ordinal1(E) =>  ( (r1_xxreal_0(1, E) & r1_xxreal_0(E, D))  => k1_funct_1(B, E)=k4_xcmplx_0(k1_funct_1(A, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_prgcor_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  ( ~ (v1_xboole_0(A))  &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (v7_ordinal1(k1_funct_1(A, k5_numbers)) & k1_afinsq_1(A)=B)  =>  (r1_xxreal_0(B, k1_funct_1(A, k5_numbers)) |  ( (? [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k1_numbers) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) )  & r3_prgcor_2(A, C, B)) )  &  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k1_numbers) &  ( ~ (v1_xboole_0(C))  &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) )  =>  (r3_prgcor_2(A, C, B) => k12_afinsq_1(k1_numbers, C)=k6_rvsum_1(k12_afinsq_1(k1_numbers, A))) ) ) ) ) ) ) ) ) ) ).
fof(d6_prgcor_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k1_numbers) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k1_numbers) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) )  =>  (! [D] :  (v1_int_1(D) =>  (r4_prgcor_2(A, B, C, D) <=>  (k1_afinsq_1(C)=D &  (k1_afinsq_1(A)=D &  (k1_afinsq_1(B)=D &  (? [E] :  (v1_int_1(E) &  (k1_funct_1(C, k5_numbers)=k1_funct_1(B, k5_numbers) &  (E=k1_funct_1(B, k5_numbers) &  ( ~ (E=k5_numbers)  =>  (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(1, F) & r1_xxreal_0(F, E))  => k1_funct_1(C, F)=k2_xcmplx_0(k1_funct_1(A, F), k1_funct_1(B, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_prgcor_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  ( ~ (v1_xboole_0(A))  &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k1_numbers) &  ( ~ (v1_xboole_0(B))  &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( (v7_ordinal1(k1_funct_1(B, k5_numbers)) &  (k1_afinsq_1(A)=C &  (k1_afinsq_1(B)=C & k1_funct_1(A, k5_numbers)=k1_funct_1(B, k5_numbers)) ) )  =>  (r1_xxreal_0(C, k1_funct_1(B, k5_numbers)) |  ( (? [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, k1_numbers) &  (v5_ordinal1(D) &  (v1_funct_1(D) & v1_finset_1(D)) ) ) )  & r4_prgcor_2(A, B, D, C)) )  &  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, k1_numbers) &  ( ~ (v1_xboole_0(D))  &  (v5_ordinal1(D) &  (v1_funct_1(D) & v1_finset_1(D)) ) ) ) )  =>  (r4_prgcor_2(A, B, D, C) => k12_afinsq_1(k1_numbers, D)=k4_rvsum_1(k12_afinsq_1(k1_numbers, A), k12_afinsq_1(k1_numbers, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_prgcor_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k1_numbers) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k1_numbers) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) )  =>  (! [D] :  (v1_int_1(D) =>  (r5_prgcor_2(A, B, C, D) <=>  (k1_afinsq_1(C)=D &  (k1_afinsq_1(A)=D &  (k1_afinsq_1(B)=D &  (? [E] :  (v1_int_1(E) &  (k1_funct_1(C, k5_numbers)=k1_funct_1(B, k5_numbers) &  (E=k1_funct_1(B, k5_numbers) &  ( ~ (E=k5_numbers)  =>  (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(1, F) & r1_xxreal_0(F, E))  => k1_funct_1(C, F)=k6_xcmplx_0(k1_funct_1(A, F), k1_funct_1(B, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_prgcor_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  ( ~ (v1_xboole_0(A))  &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, k1_numbers) &  ( ~ (v1_xboole_0(B))  &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ( (v7_ordinal1(k1_funct_1(B, k5_numbers)) &  (k1_afinsq_1(A)=C &  (k1_afinsq_1(B)=C & k1_funct_1(A, k5_numbers)=k1_funct_1(B, k5_numbers)) ) )  =>  (r1_xxreal_0(C, k1_funct_1(B, k5_numbers)) |  ( (? [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, k1_numbers) &  (v5_ordinal1(D) &  (v1_funct_1(D) & v1_finset_1(D)) ) ) )  & r5_prgcor_2(A, B, D, C)) )  &  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, k1_numbers) &  ( ~ (v1_xboole_0(D))  &  (v5_ordinal1(D) &  (v1_funct_1(D) & v1_finset_1(D)) ) ) ) )  =>  (r5_prgcor_2(A, B, D, C) => k12_afinsq_1(k1_numbers, D)=k8_rvsum_1(k12_afinsq_1(k1_numbers, A), k12_afinsq_1(k1_numbers, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k2_prgcor_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  &  (v1_relat_1(B) &  (v5_relat_1(B, k1_numbers) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) )  => v1_xreal_0(k2_prgcor_2(A, B))) ) ).
fof(fc1_prob_1, axiom,  (! [A] : v2_finsub_1(k1_zfmisc_1(A))) ).
fof(fc2_prob_1, axiom,  (! [A] : v1_prob_1(k1_zfmisc_1(A), A)) ).
fof(rc1_prob_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) &  ( ~ (v1_xboole_0(B))  &  (v2_finsub_1(B) & v1_prob_1(B, A)) ) ) ) ) ).
fof(fc3_prob_1, axiom,  (! [A] : v2_finsub_1(k2_tarski(k1_xboole_0, A))) ).
fof(fc4_prob_1, axiom,  (! [A] : v4_prob_1(k1_zfmisc_1(A), A)) ).
fof(rc2_prob_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) &  ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) & v4_prob_1(B, A)) ) ) ) ) ).
fof(cc1_prob_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) & v4_prob_1(B, A)) )  =>  ( ~ (v1_xboole_0(B))  &  (v2_finsub_1(B) &  (v1_prob_1(B, A) & v4_prob_1(B, A)) ) ) ) ) ) ) ).
fof(rc3_prob_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A)))) &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, B) &  (v5_relat_1(C, k9_setfam_1(A)) &  (v1_funct_1(C) & v1_funct_2(C, k4_ordinal1, k9_setfam_1(A))) ) ) ) ) ) ) ) ) ).
fof(rc4_prob_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (? [C] :  (m1_subset_1(C, B) & v1_xboole_0(C)) ) ) ) ).
fof(cc2_prob_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) => v10_valued_0(C)) ) ) ) ).
fof(t1_prob_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (? [C] :  (v7_ordinal1(C) &  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(C, D) => k8_nat_1(k1_numbers, B, D)=A) ) ) ) )  =>  (v2_comseq_2(B) & k1_seq_2(B)=A) ) ) ) ) ) ).
fof(d1_prob_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (v1_prob_1(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (r2_tarski(C, B) => r2_tarski(k3_subset_1(A, C), B)) ) ) ) ) ) ) ).
fof(t2_prob_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => m1_subset_1(k2_tarski(B, C), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ) ) ).
fof(t3_prob_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_finsub_1(B) &  (v1_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (! [D] :  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k2_xboole_0(C, D), B)) ) ) ) ) ) ).
fof(t4_prob_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_finsub_1(B) &  (v1_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  => r2_tarski(k1_xboole_0, B)) ) ) ).
fof(t5_prob_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_finsub_1(B) &  (v1_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  => r2_tarski(A, B)) ) ) ).
fof(t6_prob_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_finsub_1(B) &  (v1_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k7_subset_1(A, C, D), B)) ) ) ) ) ) ) ) ).
fof(t7_prob_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_finsub_1(B) &  (v1_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (! [D] :  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k2_xboole_0(k6_subset_1(C, D), D), B)) ) ) ) ) ) ).
fof(t8_prob_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(k2_tarski(k1_xboole_0, A)))  &  (v2_finsub_1(k2_tarski(k1_xboole_0, A)) &  (v1_prob_1(k2_tarski(k1_xboole_0, A), A) & m1_subset_1(k2_tarski(k1_xboole_0, A), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ) ).
fof(t9_prob_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(k9_setfam_1(A)))  &  (v2_finsub_1(k9_setfam_1(A)) &  (v1_prob_1(k9_setfam_1(A), A) & m1_subset_1(k9_setfam_1(A), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ) ).
fof(t10_prob_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_finsub_1(B) &  (v1_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (r1_tarski(k2_tarski(k1_xboole_0, A), B) & r1_tarski(B, k9_setfam_1(A))) ) ) ) ).
fof(t11_prob_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  => m1_subset_1(k3_tarski(k10_xtuple_0(B)), k1_zfmisc_1(A))) ) ) ).
fof(t12_prob_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (r2_tarski(B, k1_prob_1(A, C)) <=>  (? [D] :  (v7_ordinal1(D) & r2_tarski(B, k8_nat_1(k9_setfam_1(A), C, D))) ) ) ) ) ) ) ).
fof(d2_prob_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (C=k2_prob_1(A, B) <=>  (! [D] :  (v7_ordinal1(D) => k8_nat_1(k9_setfam_1(A), C, D)=k3_subset_1(A, k8_nat_1(k9_setfam_1(A), B, D))) ) ) ) ) ) ) ) ).
fof(d3_prob_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  => k3_prob_1(A, B)=k3_subset_1(A, k1_prob_1(A, k2_prob_1(A, B)))) ) ) ).
fof(t13_prob_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [C] :  (r2_hidden(C, k3_prob_1(A, B)) <=>  (! [D] :  (v7_ordinal1(D) => r2_hidden(C, k8_nat_1(k9_setfam_1(A), B, D))) ) ) ) ) ) ) ).
fof(t14_prob_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k3_prob_1(A, k11_funct_7(k1_zfmisc_1(A), B, C))=k9_subset_1(A, B, C)) ) ) ) ) ).
fof(d4_prob_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v2_prob_1(A) <=>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, C) => r1_tarski(k1_funct_1(A, C), k1_funct_1(A, B))) ) ) ) ) ) ) ) ).
fof(d5_prob_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v3_prob_1(A) <=>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, C) => r1_tarski(k1_funct_1(A, B), k1_funct_1(A, C))) ) ) ) ) ) ) ) ).
fof(d6_prob_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (v4_prob_1(B, A) <=>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (r1_tarski(k10_xtuple_0(C), B) => r2_tarski(k3_prob_1(A, C), B)) ) ) ) ) ) ) ).
fof(t15_prob_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  <=>  (r1_tarski(B, k9_setfam_1(A)) &  ( (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (r1_tarski(k10_xtuple_0(C), B) => r2_tarski(k3_prob_1(A, C), B)) ) )  &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (r2_tarski(C, B) => r2_tarski(k3_subset_1(A, C), B)) ) ) ) ) ) ) ) ) ).
fof(t16_prob_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  ( ~ (v1_xboole_0(B))  &  (v2_finsub_1(B) &  (v1_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ) ) ) ).
fof(t17_prob_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  => r2_tarski(k1_prob_1(A, C), B)) ) ) ) ) ).
fof(t18_prob_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (r2_tarski(B, C) => m1_prob_1(B, A, C)) ) ) ) ) ).
fof(t19_prob_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_1(C, A, B) =>  (! [D] :  (m1_prob_1(D, A, B) => m1_prob_1(k9_subset_1(A, C, D), A, B)) ) ) ) ) ) ) ).
fof(t20_prob_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_1(C, A, B) => m1_prob_1(k3_subset_1(A, C), A, B)) ) ) ) ) ).
fof(t21_prob_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_1(C, A, B) =>  (! [D] :  (m1_prob_1(D, A, B) => m1_prob_1(k4_subset_1(A, C, D), A, B)) ) ) ) ) ) ) ).
fof(t22_prob_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  => m1_prob_1(k1_xboole_0, A, B)) ) ) ).
fof(t23_prob_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  => m1_prob_1(A, A, B)) ) ) ).
fof(t24_prob_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_1(C, A, B) =>  (! [D] :  (m1_prob_1(D, A, B) => m1_prob_1(k7_subset_1(A, C, D), A, B)) ) ) ) ) ) ) ).
fof(d7_prob_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  => k4_prob_1(A, B)=A) ) ) ).
fof(t25_prob_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  ( (v5_relat_1(B, C) &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  <=>  (! [D] :  (v7_ordinal1(D) => m1_prob_1(k8_nat_1(k9_setfam_1(A), B, D), A, C)) ) ) ) ) ) ) ) ).
fof(t26_prob_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  ( (v5_relat_1(B, C) &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  => m1_prob_1(k1_prob_1(A, B), A, C)) ) ) ) ) ) ).
fof(t27_prob_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (? [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  &  (k9_xtuple_0(D)=C &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  (r2_tarski(E, C) =>  ( (r2_tarski(B, E) => k1_funct_1(D, E)=1)  &  ( ~ (r2_tarski(B, E))  => k1_funct_1(D, E)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_prob_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, C, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k1_numbers)))) )  &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) =>  (r2_tarski(E, C) =>  ( (r2_tarski(B, E) => k1_funct_1(D, E)=1)  &  ( ~ (r2_tarski(B, E))  => k1_funct_1(D, E)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_prob_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  (v1_funct_1(k3_relat_1(C, D)) &  (v1_funct_2(k3_relat_1(C, D), k4_ordinal1, k1_numbers) & m1_subset_1(k3_relat_1(C, D), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ) ) ) ) ) ).
fof(d8_prob_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  (m2_prob_1(C, A, B) <=>  ( (! [D] :  (m1_prob_1(D, A, B) => r1_xxreal_0(k5_numbers, k3_funct_2(B, k1_numbers, C, D))) )  &  (k1_funct_1(C, A)=1 &  ( (! [D] :  (m1_prob_1(D, A, B) =>  (! [E] :  (m1_prob_1(E, A, B) =>  (r1_xboole_0(D, E) => k3_funct_2(B, k1_numbers, C, k6_prob_1(A, B, D, E))=k3_real_1(k3_funct_2(B, k1_numbers, C, D), k3_funct_2(B, k1_numbers, C, E))) ) ) ) )  &  (! [D] :  ( (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (v2_prob_1(D) =>  (v2_comseq_2(k8_prob_1(A, B, D, C)) & k1_seq_2(k8_prob_1(A, B, D, C))=k1_funct_1(C, k3_prob_1(A, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_prob_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) => k3_funct_2(B, k1_numbers, C, k4_prob_1(A, B))=1) ) ) ) ) ) ).
fof(t31_prob_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_1(C, A, B) =>  (! [D] :  (m2_prob_1(D, A, B) => k3_real_1(k3_funct_2(B, k1_numbers, D, k7_prob_1(A, B, k4_prob_1(A, B), C)), k3_funct_2(B, k1_numbers, D, C))=1) ) ) ) ) ) ) ) ).
fof(t32_prob_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_1(C, A, B) =>  (! [D] :  (m2_prob_1(D, A, B) => k3_funct_2(B, k1_numbers, D, k7_prob_1(A, B, k4_prob_1(A, B), C))=k6_xcmplx_0(1, k3_funct_2(B, k1_numbers, D, C))) ) ) ) ) ) ) ) ).
fof(t33_prob_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_1(C, A, B) =>  (! [D] :  (m1_prob_1(D, A, B) =>  (! [E] :  (m2_prob_1(E, A, B) =>  (r1_tarski(C, D) => k3_funct_2(B, k1_numbers, E, k7_prob_1(A, B, D, C))=k5_real_1(k3_funct_2(B, k1_numbers, E, D), k3_funct_2(B, k1_numbers, E, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_prob_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_1(C, A, B) =>  (! [D] :  (m1_prob_1(D, A, B) =>  (! [E] :  (m2_prob_1(E, A, B) =>  (r1_tarski(C, D) => r1_xxreal_0(k3_funct_2(B, k1_numbers, E, C), k3_funct_2(B, k1_numbers, E, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_prob_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_1(C, A, B) =>  (! [D] :  (m2_prob_1(D, A, B) => r1_xxreal_0(k3_funct_2(B, k1_numbers, D, C), 1)) ) ) ) ) ) ) ) ).
fof(t36_prob_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_1(C, A, B) =>  (! [D] :  (m1_prob_1(D, A, B) =>  (! [E] :  (m2_prob_1(E, A, B) => k3_funct_2(B, k1_numbers, E, k6_prob_1(A, B, C, D))=k3_real_1(k3_funct_2(B, k1_numbers, E, C), k3_funct_2(B, k1_numbers, E, k7_prob_1(A, B, D, C)))) ) ) ) ) ) ) ) ) ) ).
fof(t37_prob_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_1(C, A, B) =>  (! [D] :  (m1_prob_1(D, A, B) =>  (! [E] :  (m2_prob_1(E, A, B) => k3_funct_2(B, k1_numbers, E, k6_prob_1(A, B, C, D))=k3_real_1(k3_funct_2(B, k1_numbers, E, C), k3_funct_2(B, k1_numbers, E, k7_prob_1(A, B, D, k5_prob_1(A, B, C, D))))) ) ) ) ) ) ) ) ) ) ).
fof(t38_prob_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_1(C, A, B) =>  (! [D] :  (m1_prob_1(D, A, B) =>  (! [E] :  (m2_prob_1(E, A, B) => k3_funct_2(B, k1_numbers, E, k6_prob_1(A, B, C, D))=k5_real_1(k3_real_1(k3_funct_2(B, k1_numbers, E, C), k3_funct_2(B, k1_numbers, E, D)), k3_funct_2(B, k1_numbers, E, k5_prob_1(A, B, C, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t39_prob_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_1(C, A, B) =>  (! [D] :  (m1_prob_1(D, A, B) =>  (! [E] :  (m2_prob_1(E, A, B) => r1_xxreal_0(k3_funct_2(B, k1_numbers, E, k6_prob_1(A, B, C, D)), k3_real_1(k3_funct_2(B, k1_numbers, E, C), k3_funct_2(B, k1_numbers, E, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t40_prob_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(k9_setfam_1(A)))  &  (v1_prob_1(k9_setfam_1(A), A) &  (v4_prob_1(k9_setfam_1(A), A) & m1_subset_1(k9_setfam_1(A), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ) ).
fof(d9_prob_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (C=k9_prob_1(A, B) <=>  (r1_tarski(B, C) &  (! [D] :  ( (r1_tarski(B, D) &  ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, A) &  (v4_prob_1(D, A) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) )  => r1_tarski(C, D)) ) ) ) ) ) ) ) ) ) ).
fof(d10_prob_1, axiom,  (! [A] :  (v1_xxreal_0(A) => k10_prob_1(A)=k4_xxreal_1(k2_xxreal_0, A)) ) ).
fof(d12_prob_1, axiom, k12_prob_1=k9_prob_1(k1_numbers, k11_prob_1)).
fof(t41_prob_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => r2_funct_2(k4_ordinal1, k1_zfmisc_1(A), k2_prob_1(A, k11_funct_7(k1_zfmisc_1(A), B, C)), k11_funct_7(k1_zfmisc_1(A), k3_subset_1(A, B), k3_subset_1(A, C)))) ) ) ) ) ).
fof(dt_k1_prob_1, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  => m1_subset_1(k1_prob_1(A, B), k1_zfmisc_1(A))) ) ).
fof(redefinition_k1_prob_1, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  => k1_prob_1(A, B)=k3_card_3(B)) ) ).
fof(dt_k2_prob_1, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (v1_funct_1(k2_prob_1(A, B)) &  (v1_funct_2(k2_prob_1(A, B), k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(k2_prob_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) ) ) ).
fof(involutiveness_k2_prob_1, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  => k2_prob_1(A, k2_prob_1(A, B))=B) ) ).
fof(dt_k3_prob_1, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  => m1_subset_1(k3_prob_1(A, B), k1_zfmisc_1(A))) ) ).
fof(dt_m1_prob_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_1(C, A, B) => m1_subset_1(C, k1_zfmisc_1(A))) ) ) ) ).
fof(existence_m1_prob_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (? [C] : m1_prob_1(C, A, B)) ) ) ).
fof(redefinition_m1_prob_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_1(C, A, B) <=> m1_subset_1(C, B)) ) ) ) ).
fof(dt_k4_prob_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  => m1_prob_1(k4_prob_1(A, B), A, B)) ) ).
fof(dt_k5_prob_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m1_subset_1(C, B) & m1_subset_1(D, B)) )  => m1_prob_1(k5_prob_1(A, B, C, D), A, B)) ) ).
fof(commutativity_k5_prob_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m1_subset_1(C, B) & m1_subset_1(D, B)) )  => k5_prob_1(A, B, C, D)=k5_prob_1(A, B, D, C)) ) ).
fof(idempotence_k5_prob_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m1_subset_1(C, B) & m1_subset_1(D, B)) )  => k5_prob_1(A, B, C, C)=C) ) ).
fof(redefinition_k5_prob_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m1_subset_1(C, B) & m1_subset_1(D, B)) )  => k5_prob_1(A, B, C, D)=k3_xboole_0(C, D)) ) ).
fof(dt_k6_prob_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m1_subset_1(C, B) & m1_subset_1(D, B)) )  => m1_prob_1(k6_prob_1(A, B, C, D), A, B)) ) ).
fof(commutativity_k6_prob_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m1_subset_1(C, B) & m1_subset_1(D, B)) )  => k6_prob_1(A, B, C, D)=k6_prob_1(A, B, D, C)) ) ).
fof(idempotence_k6_prob_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m1_subset_1(C, B) & m1_subset_1(D, B)) )  => k6_prob_1(A, B, C, C)=C) ) ).
fof(redefinition_k6_prob_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m1_subset_1(C, B) & m1_subset_1(D, B)) )  => k6_prob_1(A, B, C, D)=k2_xboole_0(C, D)) ) ).
fof(dt_k7_prob_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m1_subset_1(C, B) & m1_subset_1(D, B)) )  => m1_prob_1(k7_prob_1(A, B, C, D), A, B)) ) ).
fof(redefinition_k7_prob_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m1_subset_1(C, B) & m1_subset_1(D, B)) )  => k7_prob_1(A, B, C, D)=k4_xboole_0(C, D)) ) ).
fof(dt_k8_prob_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, B, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) ) ) )  =>  (v1_funct_1(k8_prob_1(A, B, C, D)) &  (v1_funct_2(k8_prob_1(A, B, C, D), k4_ordinal1, k1_numbers) & m1_subset_1(k8_prob_1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(redefinition_k8_prob_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, B, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) ) ) )  => k8_prob_1(A, B, C, D)=k3_relat_1(C, D)) ) ).
fof(dt_m2_prob_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (v1_funct_1(C) &  (v1_funct_2(C, B, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) ) ) ) ) ) ).
fof(existence_m2_prob_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) )  =>  (? [C] : m2_prob_1(C, A, B)) ) ) ).
fof(dt_k9_prob_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  ( ~ (v1_xboole_0(k9_prob_1(A, B)))  &  (v1_prob_1(k9_prob_1(A, B), A) &  (v4_prob_1(k9_prob_1(A, B), A) & m1_subset_1(k9_prob_1(A, B), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ) ) ).
fof(dt_k10_prob_1, axiom,  (! [A] :  (v1_xxreal_0(A) => m1_subset_1(k10_prob_1(A), k1_zfmisc_1(k1_numbers))) ) ).
fof(dt_k11_prob_1, axiom, m1_subset_1(k11_prob_1, k1_zfmisc_1(k1_zfmisc_1(k1_numbers)))).
fof(dt_k12_prob_1, axiom,  ( ~ (v1_xboole_0(k12_prob_1))  &  (v1_prob_1(k12_prob_1, k1_numbers) &  (v4_prob_1(k12_prob_1, k1_numbers) & m1_subset_1(k12_prob_1, k1_zfmisc_1(k1_zfmisc_1(k1_numbers)))) ) ) ).
fof(dt_k13_prob_1, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))) &  (v1_funct_1(D) &  (v1_funct_2(D, B, k9_setfam_1(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k9_setfam_1(C))))) ) )  => m1_subset_1(k13_prob_1(A, B, C, D, E), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ).
fof(redefinition_k13_prob_1, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))) &  (v1_funct_1(D) &  (v1_funct_2(D, B, k9_setfam_1(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k9_setfam_1(C))))) ) )  => k13_prob_1(A, B, C, D, E)=k1_funct_1(D, E)) ) ).
fof(d11_prob_1, axiom, k11_prob_1=a_0_0_prob_1).
fof(fraenkel_a_0_0_prob_1, axiom,  (! [A] :  (r2_hidden(A, a_0_0_prob_1) <=>  (? [B] :  (m1_subset_1(B, k1_numbers) & A=k10_prob_1(B)) ) ) ) ).
fof(fc1_prob_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) ) )  =>  (v5_relat_1(k2_prob_1(A, C), B) &  (v1_funct_1(k2_prob_1(A, C)) & v1_funct_2(k2_prob_1(A, C), k4_ordinal1, k9_setfam_1(A))) ) ) ) ).
fof(t1_prob_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (A=k5_numbers)  &  ( ~ (B=k5_numbers)  &  ~ ( (k7_xcmplx_0(D, B)=k7_xcmplx_0(C, A) <=> k3_xcmplx_0(D, A)=k3_xcmplx_0(C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_prob_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_comseq_2(B) &  (! [D] :  (v7_ordinal1(D) => k8_nat_1(k1_numbers, C, D)=k6_xcmplx_0(A, k8_nat_1(k1_numbers, B, D))) ) )  =>  (v2_comseq_2(C) & k1_seq_2(C)=k6_xcmplx_0(A, k1_seq_2(B))) ) ) ) ) ) ) ) ).
fof(d1_prob_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  => k2_prob_2(A, B, C)=k3_prob_1(A, C)) ) ) ) ) ).
fof(t3_prob_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [D] :  (m1_prob_1(D, A, B) =>  (? [E] :  ( (v5_relat_1(E, B) &  (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  &  (! [F] :  (v7_ordinal1(F) => k1_prob_2(A, B, E, F)=k5_prob_1(A, B, k1_prob_2(A, B, C, F), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_prob_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [D] :  ( (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [E] :  (m1_prob_1(E, A, B) =>  ( (v2_prob_1(C) &  (! [F] :  (v7_ordinal1(F) => k1_prob_2(A, B, D, F)=k5_prob_1(A, B, k1_prob_2(A, B, C, F), E)) ) )  => v2_prob_1(D)) ) ) ) ) ) ) ) ) ) ).
fof(t5_prob_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [D] :  ( (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [E] :  (m1_prob_1(E, A, B) =>  ( (! [F] :  (v7_ordinal1(F) => k1_prob_2(A, B, D, F)=k5_prob_1(A, B, k1_prob_2(A, B, C, F), E)) )  => k9_subset_1(A, k3_prob_1(A, C), E)=k3_prob_1(A, D)) ) ) ) ) ) ) ) ) ) ).
fof(t6_prob_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (v2_prob_1(B) <=>  (! [C] :  (v7_ordinal1(C) => r1_tarski(k1_prob_2(A, k9_setfam_1(A), B, k1_nat_1(C, 1)), k1_prob_2(A, k9_setfam_1(A), B, C))) ) ) ) ) ) ).
fof(t7_prob_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (v3_prob_1(B) <=>  (! [C] :  (v7_ordinal1(C) => r1_tarski(k1_prob_2(A, k9_setfam_1(A), B, C), k1_prob_2(A, k9_setfam_1(A), B, k1_nat_1(C, 1)))) ) ) ) ) ) ).
fof(t8_prob_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (v2_prob_1(B) <=> v3_prob_1(k2_prob_1(A, B))) ) ) ) ).
fof(d2_prob_2, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_prob_2(A) <=>  (! [B] :  (! [C] :  ( ~ (B=C)  => r1_xboole_0(k1_funct_1(A, B), k1_funct_1(A, C))) ) ) ) ) ) ).
fof(d3_prob_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (v1_prob_2(C) <=>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( ~ (D=E)  => r1_xboole_0(k1_prob_2(A, B, C, D), k1_prob_2(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_prob_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (m2_prob_1(D, A, B) =>  ( (! [E] :  (m1_prob_1(E, A, B) => k3_funct_2(B, k1_numbers, C, E)=k3_funct_2(B, k1_numbers, D, E)) )  => r2_funct_2(B, k1_numbers, C, D)) ) ) ) ) ) ) ) ) ).
fof(t10_prob_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  (m2_prob_1(C, A, B) <=>  ( (! [D] :  (m1_prob_1(D, A, B) => r1_xxreal_0(k5_numbers, k3_funct_2(B, k1_numbers, C, D))) )  &  (k1_funct_1(C, A)=1 &  ( (! [D] :  (m1_prob_1(D, A, B) =>  (! [E] :  (m1_prob_1(E, A, B) =>  (r1_xboole_0(D, E) => k3_funct_2(B, k1_numbers, C, k6_prob_1(A, B, D, E))=k3_real_1(k3_funct_2(B, k1_numbers, C, D), k3_funct_2(B, k1_numbers, C, E))) ) ) ) )  &  (! [D] :  ( (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (v3_prob_1(D) =>  (v2_comseq_2(k8_prob_1(A, B, D, C)) & k1_seq_2(k8_prob_1(A, B, D, C))=k1_funct_1(C, k1_prob_1(A, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_prob_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_1(C, A, B) =>  (! [D] :  (m1_prob_1(D, A, B) =>  (! [E] :  (m1_prob_1(E, A, B) =>  (! [F] :  (m2_prob_1(F, A, B) => k3_funct_2(B, k1_numbers, F, k6_prob_1(A, B, k6_prob_1(A, B, C, D), E))=k3_real_1(k5_real_1(k3_real_1(k3_real_1(k3_funct_2(B, k1_numbers, F, C), k3_funct_2(B, k1_numbers, F, D)), k3_funct_2(B, k1_numbers, F, E)), k3_real_1(k3_real_1(k3_funct_2(B, k1_numbers, F, k5_prob_1(A, B, C, D)), k3_funct_2(B, k1_numbers, F, k5_prob_1(A, B, D, E))), k3_funct_2(B, k1_numbers, F, k5_prob_1(A, B, C, E)))), k3_funct_2(B, k1_numbers, F, k5_prob_1(A, B, k5_prob_1(A, B, C, D), E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_prob_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_1(C, A, B) =>  (! [D] :  (m1_prob_1(D, A, B) =>  (! [E] :  (m2_prob_1(E, A, B) => k3_funct_2(B, k1_numbers, E, k7_prob_1(A, B, C, k5_prob_1(A, B, C, D)))=k5_real_1(k3_funct_2(B, k1_numbers, E, C), k3_funct_2(B, k1_numbers, E, k5_prob_1(A, B, C, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t13_prob_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_1(C, A, B) =>  (! [D] :  (m1_prob_1(D, A, B) =>  (! [E] :  (m2_prob_1(E, A, B) =>  (r1_xxreal_0(k3_funct_2(B, k1_numbers, E, k5_prob_1(A, B, C, D)), k3_funct_2(B, k1_numbers, E, D)) & r1_xxreal_0(k3_funct_2(B, k1_numbers, E, k5_prob_1(A, B, C, D)), k3_funct_2(B, k1_numbers, E, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_prob_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_1(C, A, B) =>  (! [D] :  (m1_prob_1(D, A, B) =>  (! [E] :  (m1_prob_1(E, A, B) =>  (! [F] :  (m2_prob_1(F, A, B) =>  (E=k3_subset_1(A, D) => k3_funct_2(B, k1_numbers, F, C)=k3_real_1(k3_funct_2(B, k1_numbers, F, k5_prob_1(A, B, C, D)), k3_funct_2(B, k1_numbers, F, k5_prob_1(A, B, C, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_prob_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_1(C, A, B) =>  (! [D] :  (m1_prob_1(D, A, B) =>  (! [E] :  (m2_prob_1(E, A, B) => r1_xxreal_0(k6_xcmplx_0(k3_real_1(k3_funct_2(B, k1_numbers, E, C), k3_funct_2(B, k1_numbers, E, D)), 1), k3_funct_2(B, k1_numbers, E, k5_prob_1(A, B, C, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t16_prob_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_1(C, A, B) =>  (! [D] :  (m2_prob_1(D, A, B) => k3_funct_2(B, k1_numbers, D, C)=k6_xcmplx_0(1, k3_funct_2(B, k1_numbers, D, k7_prob_1(A, B, k4_prob_1(A, B), C)))) ) ) ) ) ) ) ) ).
fof(t17_prob_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_1(C, A, B) =>  (! [D] :  (m2_prob_1(D, A, B) =>  ( ~ ( ( ~ (r1_xxreal_0(1, k3_funct_2(B, k1_numbers, D, C)))  & r1_xxreal_0(k3_funct_2(B, k1_numbers, D, k7_prob_1(A, B, k4_prob_1(A, B), C)), k5_numbers)) )  &  ~ ( ( ~ (r1_xxreal_0(k3_funct_2(B, k1_numbers, D, k7_prob_1(A, B, k4_prob_1(A, B), C)), k5_numbers))  & r1_xxreal_0(1, k3_funct_2(B, k1_numbers, D, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_prob_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_1(C, A, B) =>  (! [D] :  (m2_prob_1(D, A, B) =>  ( ~ ( ( ~ (r1_xxreal_0(1, k3_funct_2(B, k1_numbers, D, k7_prob_1(A, B, k4_prob_1(A, B), C))))  & r1_xxreal_0(k3_funct_2(B, k1_numbers, D, C), k5_numbers)) )  &  ~ ( ( ~ (r1_xxreal_0(k3_funct_2(B, k1_numbers, D, C), k5_numbers))  & r1_xxreal_0(1, k3_funct_2(B, k1_numbers, D, k7_prob_1(A, B, k4_prob_1(A, B), C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_prob_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (m1_prob_1(D, A, B) =>  (! [E] :  (m1_prob_1(E, A, B) =>  (r1_prob_2(A, B, C, D, E) <=> k3_funct_2(B, k1_numbers, C, k5_prob_1(A, B, D, E))=k4_real_1(k3_funct_2(B, k1_numbers, C, D), k3_funct_2(B, k1_numbers, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_prob_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (m1_prob_1(D, A, B) =>  (! [E] :  (m1_prob_1(E, A, B) =>  (! [F] :  (m1_prob_1(F, A, B) =>  (r2_prob_2(A, B, C, D, E, F) <=>  (k3_funct_2(B, k1_numbers, C, k5_prob_1(A, B, k5_prob_1(A, B, D, E), F))=k4_real_1(k4_real_1(k3_funct_2(B, k1_numbers, C, D), k3_funct_2(B, k1_numbers, C, E)), k3_funct_2(B, k1_numbers, C, F)) &  (k3_funct_2(B, k1_numbers, C, k5_prob_1(A, B, D, E))=k4_real_1(k3_funct_2(B, k1_numbers, C, D), k3_funct_2(B, k1_numbers, C, E)) &  (k3_funct_2(B, k1_numbers, C, k5_prob_1(A, B, D, F))=k4_real_1(k3_funct_2(B, k1_numbers, C, D), k3_funct_2(B, k1_numbers, C, F)) & k3_funct_2(B, k1_numbers, C, k5_prob_1(A, B, E, F))=k4_real_1(k3_funct_2(B, k1_numbers, C, E), k3_funct_2(B, k1_numbers, C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_prob_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_1(C, A, B) =>  (! [D] :  (m1_prob_1(D, A, B) =>  (! [E] :  (m2_prob_1(E, A, B) =>  (r1_prob_2(A, B, E, C, D) => r1_prob_2(A, B, E, D, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_prob_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_1(C, A, B) =>  (! [D] :  (m1_prob_1(D, A, B) =>  (! [E] :  (m1_prob_1(E, A, B) =>  (! [F] :  (m2_prob_1(F, A, B) =>  (r2_prob_2(A, B, F, C, D, E) <=>  (k3_funct_2(B, k1_numbers, F, k5_prob_1(A, B, k5_prob_1(A, B, C, D), E))=k4_real_1(k4_real_1(k3_funct_2(B, k1_numbers, F, C), k3_funct_2(B, k1_numbers, F, D)), k3_funct_2(B, k1_numbers, F, E)) &  (r1_prob_2(A, B, F, C, D) &  (r1_prob_2(A, B, F, D, E) & r1_prob_2(A, B, F, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_prob_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_1(C, A, B) =>  (! [D] :  (m1_prob_1(D, A, B) =>  (! [E] :  (m1_prob_1(E, A, B) =>  (! [F] :  (m2_prob_1(F, A, B) =>  (r2_prob_2(A, B, F, C, D, E) => r2_prob_2(A, B, F, D, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_prob_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_1(C, A, B) =>  (! [D] :  (m1_prob_1(D, A, B) =>  (! [E] :  (m1_prob_1(E, A, B) =>  (! [F] :  (m2_prob_1(F, A, B) =>  (r2_prob_2(A, B, F, C, D, E) => r2_prob_2(A, B, F, C, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_prob_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_1(C, A, B) =>  (! [D] :  (m2_prob_1(D, A, B) =>  (! [E] :  (m1_prob_1(E, A, B) =>  (E=k1_xboole_0 => r1_prob_2(A, B, D, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_prob_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_1(C, A, B) =>  (! [D] :  (m2_prob_1(D, A, B) => r1_prob_2(A, B, D, C, k4_prob_1(A, B))) ) ) ) ) ) ) ) ).
fof(t25_prob_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_1(C, A, B) =>  (! [D] :  (m1_prob_1(D, A, B) =>  (! [E] :  (m2_prob_1(E, A, B) =>  (r1_prob_2(A, B, E, C, D) => r1_prob_2(A, B, E, C, k7_prob_1(A, B, k4_prob_1(A, B), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_prob_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_1(C, A, B) =>  (! [D] :  (m1_prob_1(D, A, B) =>  (! [E] :  (m2_prob_1(E, A, B) =>  (r1_prob_2(A, B, E, C, D) => r1_prob_2(A, B, E, k7_prob_1(A, B, k4_prob_1(A, B), C), k7_prob_1(A, B, k4_prob_1(A, B), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_prob_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_1(C, A, B) =>  (! [D] :  (m1_prob_1(D, A, B) =>  (! [E] :  (m1_prob_1(E, A, B) =>  (! [F] :  (m2_prob_1(F, A, B) =>  ( (r1_prob_2(A, B, F, C, D) &  (r1_prob_2(A, B, F, C, E) & r1_xboole_0(D, E)) )  => r1_prob_2(A, B, F, C, k6_prob_1(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_prob_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (m1_prob_1(D, A, B) =>  (! [E] :  (m1_prob_1(E, A, B) =>  ~ ( (r1_prob_2(A, B, C, D, E) &  ( ~ (r1_xxreal_0(1, k3_funct_2(B, k1_numbers, C, D)))  &  ( ~ (r1_xxreal_0(1, k3_funct_2(B, k1_numbers, C, E)))  & r1_xxreal_0(1, k3_funct_2(B, k1_numbers, C, k6_prob_1(A, B, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_prob_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (m1_prob_1(D, A, B) =>  ( ~ (r1_xxreal_0(k3_funct_2(B, k1_numbers, C, D), k5_numbers))  =>  (! [E] :  (m2_prob_1(E, A, B) =>  (E=k3_prob_2(A, B, C, D) <=>  (! [F] :  (m1_prob_1(F, A, B) => k3_funct_2(B, k1_numbers, E, F)=k6_real_1(k3_funct_2(B, k1_numbers, C, k5_prob_1(A, B, F, D)), k3_funct_2(B, k1_numbers, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_prob_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (m1_prob_1(D, A, B) =>  (! [E] :  (m1_prob_1(E, A, B) =>  ( ~ (r1_xxreal_0(k3_funct_2(B, k1_numbers, C, D), k5_numbers))  => k3_funct_2(B, k1_numbers, C, k5_prob_1(A, B, E, D))=k4_real_1(k3_funct_2(B, k1_numbers, k3_prob_2(A, B, C, D), E), k3_funct_2(B, k1_numbers, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_prob_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (m1_prob_1(D, A, B) =>  (! [E] :  (m1_prob_1(E, A, B) =>  (! [F] :  (m1_prob_1(F, A, B) =>  ( ~ (r1_xxreal_0(k3_funct_2(B, k1_numbers, C, k5_prob_1(A, B, D, E)), k5_numbers))  => k3_funct_2(B, k1_numbers, C, k5_prob_1(A, B, k5_prob_1(A, B, D, E), F))=k4_real_1(k4_real_1(k3_funct_2(B, k1_numbers, C, D), k3_funct_2(B, k1_numbers, k3_prob_2(A, B, C, D), E)), k3_funct_2(B, k1_numbers, k3_prob_2(A, B, C, k5_prob_1(A, B, D, E)), F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_prob_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (m1_prob_1(D, A, B) =>  (! [E] :  (m1_prob_1(E, A, B) =>  (! [F] :  (m1_prob_1(F, A, B) =>  (F=k3_subset_1(A, E) =>  (r1_xxreal_0(k3_funct_2(B, k1_numbers, C, E), k5_numbers) |  (r1_xxreal_0(k3_funct_2(B, k1_numbers, C, F), k5_numbers) | k3_funct_2(B, k1_numbers, C, D)=k3_real_1(k4_real_1(k3_funct_2(B, k1_numbers, k3_prob_2(A, B, C, E), D), k3_funct_2(B, k1_numbers, C, E)), k4_real_1(k3_funct_2(B, k1_numbers, k3_prob_2(A, B, C, F), D), k3_funct_2(B, k1_numbers, C, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_prob_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (m1_prob_1(D, A, B) =>  (! [E] :  (m1_prob_1(E, A, B) =>  (! [F] :  (m1_prob_1(F, A, B) =>  (! [G] :  (m1_prob_1(G, A, B) =>  ( (r1_xboole_0(E, F) & G=k3_subset_1(A, k6_prob_1(A, B, E, F)))  =>  (r1_xxreal_0(k3_funct_2(B, k1_numbers, C, E), k5_numbers) |  (r1_xxreal_0(k3_funct_2(B, k1_numbers, C, F), k5_numbers) |  (r1_xxreal_0(k3_funct_2(B, k1_numbers, C, G), k5_numbers) | k3_funct_2(B, k1_numbers, C, D)=k3_real_1(k3_real_1(k4_real_1(k3_funct_2(B, k1_numbers, k3_prob_2(A, B, C, E), D), k3_funct_2(B, k1_numbers, C, E)), k4_real_1(k3_funct_2(B, k1_numbers, k3_prob_2(A, B, C, F), D), k3_funct_2(B, k1_numbers, C, F))), k4_real_1(k3_funct_2(B, k1_numbers, k3_prob_2(A, B, C, G), D), k3_funct_2(B, k1_numbers, C, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_prob_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (m1_prob_1(D, A, B) =>  (! [E] :  (m1_prob_1(E, A, B) =>  ( ~ (r1_xxreal_0(k3_funct_2(B, k1_numbers, C, E), k5_numbers))  =>  (k3_funct_2(B, k1_numbers, k3_prob_2(A, B, C, E), D)=k3_funct_2(B, k1_numbers, C, D) <=> r1_prob_2(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_prob_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (m1_prob_1(D, A, B) =>  (! [E] :  (m1_prob_1(E, A, B) =>  (k3_funct_2(B, k1_numbers, k3_prob_2(A, B, C, E), D)=k3_funct_2(B, k1_numbers, k3_prob_2(A, B, C, k7_prob_1(A, B, k4_prob_1(A, B), E)), D) =>  (r1_xxreal_0(k3_funct_2(B, k1_numbers, C, E), k5_numbers) |  (r1_xxreal_0(1, k3_funct_2(B, k1_numbers, C, E)) | r1_prob_2(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_prob_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (m1_prob_1(D, A, B) =>  (! [E] :  (m1_prob_1(E, A, B) =>  ( ~ (r1_xxreal_0(k3_funct_2(B, k1_numbers, C, E), k5_numbers))  => r1_xxreal_0(k7_xcmplx_0(k6_xcmplx_0(k3_real_1(k3_funct_2(B, k1_numbers, C, D), k3_funct_2(B, k1_numbers, C, E)), 1), k3_funct_2(B, k1_numbers, C, E)), k3_funct_2(B, k1_numbers, k3_prob_2(A, B, C, E), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_prob_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_1(C, A, B) =>  (! [D] :  (m1_prob_1(D, A, B) =>  (! [E] :  (m2_prob_1(E, A, B) =>  ~ ( ( ~ (r1_xxreal_0(k3_funct_2(B, k1_numbers, E, C), k5_numbers))  &  ( ~ (r1_xxreal_0(k3_funct_2(B, k1_numbers, E, D), k5_numbers))  &  ~ (k3_funct_2(B, k1_numbers, k3_prob_2(A, B, E, D), C)=k6_real_1(k4_real_1(k3_funct_2(B, k1_numbers, k3_prob_2(A, B, E, C), D), k3_funct_2(B, k1_numbers, E, C)), k3_funct_2(B, k1_numbers, E, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_prob_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_1(C, A, B) =>  (! [D] :  (m1_prob_1(D, A, B) =>  (! [E] :  (m1_prob_1(E, A, B) =>  (! [F] :  (m2_prob_1(F, A, B) =>  (E=k3_subset_1(A, D) =>  (r1_xxreal_0(k3_funct_2(B, k1_numbers, F, C), k5_numbers) |  (r1_xxreal_0(k3_funct_2(B, k1_numbers, F, D), k5_numbers) |  (r1_xxreal_0(k3_funct_2(B, k1_numbers, F, E), k5_numbers) |  (k3_funct_2(B, k1_numbers, k3_prob_2(A, B, F, C), D)=k6_real_1(k4_real_1(k3_funct_2(B, k1_numbers, k3_prob_2(A, B, F, D), C), k3_funct_2(B, k1_numbers, F, D)), k3_real_1(k4_real_1(k3_funct_2(B, k1_numbers, k3_prob_2(A, B, F, D), C), k3_funct_2(B, k1_numbers, F, D)), k4_real_1(k3_funct_2(B, k1_numbers, k3_prob_2(A, B, F, E), C), k3_funct_2(B, k1_numbers, F, E)))) & k3_funct_2(B, k1_numbers, k3_prob_2(A, B, F, C), E)=k6_real_1(k4_real_1(k3_funct_2(B, k1_numbers, k3_prob_2(A, B, F, E), C), k3_funct_2(B, k1_numbers, F, E)), k3_real_1(k4_real_1(k3_funct_2(B, k1_numbers, k3_prob_2(A, B, F, D), C), k3_funct_2(B, k1_numbers, F, D)), k4_real_1(k3_funct_2(B, k1_numbers, k3_prob_2(A, B, F, E), C), k3_funct_2(B, k1_numbers, F, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_prob_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_1(C, A, B) =>  (! [D] :  (m1_prob_1(D, A, B) =>  (! [E] :  (m1_prob_1(E, A, B) =>  (! [F] :  (m1_prob_1(F, A, B) =>  (! [G] :  (m2_prob_1(G, A, B) =>  ( (r1_xboole_0(D, E) & F=k3_subset_1(A, k6_prob_1(A, B, D, E)))  =>  (r1_xxreal_0(k3_funct_2(B, k1_numbers, G, C), k5_numbers) |  (r1_xxreal_0(k3_funct_2(B, k1_numbers, G, D), k5_numbers) |  (r1_xxreal_0(k3_funct_2(B, k1_numbers, G, E), k5_numbers) |  (r1_xxreal_0(k3_funct_2(B, k1_numbers, G, F), k5_numbers) |  (k3_funct_2(B, k1_numbers, k3_prob_2(A, B, G, C), D)=k6_real_1(k4_real_1(k3_funct_2(B, k1_numbers, k3_prob_2(A, B, G, D), C), k3_funct_2(B, k1_numbers, G, D)), k3_real_1(k3_real_1(k4_real_1(k3_funct_2(B, k1_numbers, k3_prob_2(A, B, G, D), C), k3_funct_2(B, k1_numbers, G, D)), k4_real_1(k3_funct_2(B, k1_numbers, k3_prob_2(A, B, G, E), C), k3_funct_2(B, k1_numbers, G, E))), k4_real_1(k3_funct_2(B, k1_numbers, k3_prob_2(A, B, G, F), C), k3_funct_2(B, k1_numbers, G, F)))) &  (k3_funct_2(B, k1_numbers, k3_prob_2(A, B, G, C), E)=k6_real_1(k4_real_1(k3_funct_2(B, k1_numbers, k3_prob_2(A, B, G, E), C), k3_funct_2(B, k1_numbers, G, E)), k3_real_1(k3_real_1(k4_real_1(k3_funct_2(B, k1_numbers, k3_prob_2(A, B, G, D), C), k3_funct_2(B, k1_numbers, G, D)), k4_real_1(k3_funct_2(B, k1_numbers, k3_prob_2(A, B, G, E), C), k3_funct_2(B, k1_numbers, G, E))), k4_real_1(k3_funct_2(B, k1_numbers, k3_prob_2(A, B, G, F), C), k3_funct_2(B, k1_numbers, G, F)))) & k3_funct_2(B, k1_numbers, k3_prob_2(A, B, G, C), F)=k6_real_1(k4_real_1(k3_funct_2(B, k1_numbers, k3_prob_2(A, B, G, F), C), k3_funct_2(B, k1_numbers, G, F)), k3_real_1(k3_real_1(k4_real_1(k3_funct_2(B, k1_numbers, k3_prob_2(A, B, G, D), C), k3_funct_2(B, k1_numbers, G, D)), k4_real_1(k3_funct_2(B, k1_numbers, k3_prob_2(A, B, G, E), C), k3_funct_2(B, k1_numbers, G, E))), k4_real_1(k3_funct_2(B, k1_numbers, k3_prob_2(A, B, G, F), C), k3_funct_2(B, k1_numbers, G, F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_prob_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_1(C, A, B) =>  (! [D] :  (m1_prob_1(D, A, B) =>  (! [E] :  (m2_prob_1(E, A, B) =>  ( ~ (r1_xxreal_0(k3_funct_2(B, k1_numbers, E, D), k5_numbers))  => r1_xxreal_0(k6_xcmplx_0(1, k6_real_1(k3_funct_2(B, k1_numbers, E, k7_prob_1(A, B, k4_prob_1(A, B), C)), k3_funct_2(B, k1_numbers, E, D))), k3_funct_2(B, k1_numbers, k3_prob_2(A, B, E, D), C))) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_prob_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  & v7_ordinal1(D)) )  => m1_prob_1(k1_prob_2(A, B, C, D), A, B)) ) ).
fof(redefinition_k1_prob_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  & v7_ordinal1(D)) )  => k1_prob_2(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(dt_k2_prob_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) ) )  => m1_prob_1(k2_prob_2(A, B, C), A, B)) ) ).
fof(redefinition_v2_prob_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) ) )  =>  (v2_prob_2(C, A, B) <=> v1_prob_2(C)) ) ) ).
fof(dt_k3_prob_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m2_prob_1(C, A, B) & m1_subset_1(D, B)) ) )  => m2_prob_1(k3_prob_2(A, B, C, D), A, B)) ) ).
fof(fc1_prob_3, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (v1_funct_1(k3_prob_3(A, B)) &  (v1_funct_2(k3_prob_3(A, B), k4_ordinal1, k9_setfam_1(A)) & v1_prob_2(k3_prob_3(A, B))) ) ) ) ).
fof(fc2_prob_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) ) )  =>  (v5_relat_1(k1_prob_3(A, C), B) &  (v1_funct_1(k1_prob_3(A, C)) & v1_funct_2(k1_prob_3(A, C), k4_ordinal1, k9_setfam_1(A))) ) ) ) ).
fof(fc3_prob_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) ) )  =>  (v5_relat_1(k2_prob_3(A, C), B) &  (v1_funct_1(k2_prob_3(A, C)) & v1_funct_2(k2_prob_3(A, C), k4_ordinal1, k9_setfam_1(A))) ) ) ) ).
fof(fc4_prob_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) ) )  =>  (v5_relat_1(k3_prob_3(A, C), B) &  (v1_funct_1(k3_prob_3(A, C)) & v1_funct_2(k3_prob_3(A, C), k4_ordinal1, k9_setfam_1(A))) ) ) ) ).
fof(fc5_prob_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  & m1_finseq_1(C, B))  => v5_relat_1(k6_prob_3(A, C), B)) ) ).
fof(rc1_prob_3, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) &  (v2_prob_3(B, A) & v3_prob_3(B, A)) ) ) ) ).
fof(t1_prob_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  ~ (r2_tarski(k5_numbers, k9_xtuple_0(A))) ) ) ).
fof(t2_prob_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r2_tarski(A, k9_xtuple_0(B)) <=>  ( ~ (A=k5_numbers)  & r1_xxreal_0(A, k3_finseq_1(B))) ) ) ) ) ) ).
fof(t3_prob_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (? [C] :  (v7_ordinal1(C) &  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(C, D) => k1_funct_1(B, D)=A) ) ) ) )  =>  (v2_comseq_2(B) & k1_seq_2(B)=A) ) ) ) ) ) ).
fof(t4_prob_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, C) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(B))))) ) )  =>  (! [E] :  (m2_prob_1(E, B, C) => r1_xxreal_0(k5_numbers, k1_funct_1(k8_prob_1(B, C, D, E), A))) ) ) ) ) ) ) ) ) ) ).
fof(t5_prob_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, C) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(B))))) ) )  =>  (! [E] :  ( (v5_relat_1(E, C) &  (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k9_setfam_1(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(B))))) ) )  =>  (! [F] :  (m2_prob_1(F, B, C) =>  (r1_tarski(k1_prob_2(B, C, D, A), k1_prob_2(B, C, E, A)) => r1_xxreal_0(k1_funct_1(k8_prob_1(B, C, D, F), A), k1_funct_1(k8_prob_1(B, C, E, F), A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_prob_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [D] :  (m2_prob_1(D, A, B) =>  (v3_prob_1(C) => v7_valued_0(k8_prob_1(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t7_prob_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [D] :  (m2_prob_1(D, A, B) =>  (v2_prob_1(C) => v8_valued_0(k8_prob_1(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(d1_prob_3, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (C=k1_prob_3(A, B) <=>  (k1_prob_2(A, k9_setfam_1(A), C, k5_numbers)=k1_prob_2(A, k9_setfam_1(A), B, k5_numbers) &  (! [D] :  (v7_ordinal1(D) => k1_prob_2(A, k9_setfam_1(A), C, k1_nat_1(D, 1))=k5_prob_1(A, k9_setfam_1(A), k1_prob_2(A, k9_setfam_1(A), C, D), k1_prob_2(A, k9_setfam_1(A), B, k1_nat_1(D, 1)))) ) ) ) ) ) ) ) ) ).
fof(d2_prob_3, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (C=k2_prob_3(A, B) <=>  (k1_prob_2(A, k9_setfam_1(A), C, k5_numbers)=k1_prob_2(A, k9_setfam_1(A), B, k5_numbers) &  (! [D] :  (v7_ordinal1(D) => k1_prob_2(A, k9_setfam_1(A), C, k1_nat_1(D, 1))=k6_prob_1(A, k9_setfam_1(A), k1_prob_2(A, k9_setfam_1(A), C, D), k1_prob_2(A, k9_setfam_1(A), B, k1_nat_1(D, 1)))) ) ) ) ) ) ) ) ) ).
fof(t8_prob_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(B))))) )  => r1_tarski(k1_prob_2(B, k9_setfam_1(B), k1_prob_3(B, C), A), k1_prob_2(B, k9_setfam_1(B), C, A))) ) ) ) ) ).
fof(t9_prob_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(B))))) )  => r1_tarski(k1_prob_2(B, k9_setfam_1(B), C, A), k1_prob_2(B, k9_setfam_1(B), k2_prob_3(B, C), A))) ) ) ) ) ).
fof(t10_prob_3, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  => v2_prob_1(k1_prob_3(A, B))) ) ) ).
fof(t11_prob_3, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  => v3_prob_1(k2_prob_3(A, B))) ) ) ).
fof(t12_prob_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(B))))) )  =>  (! [D] :  (r2_hidden(D, k1_prob_2(B, k9_setfam_1(B), k1_prob_3(B, C), A)) <=>  (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(E, A) => r2_hidden(D, k1_prob_2(B, k9_setfam_1(B), C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t13_prob_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(C))))) )  =>  (r2_hidden(B, k1_prob_2(C, k9_setfam_1(C), k2_prob_3(C, D), A)) <=>  (? [E] :  (v7_ordinal1(E) &  (r1_xxreal_0(E, A) & r2_hidden(B, k1_prob_2(C, k9_setfam_1(C), D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t14_prob_3, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  => k3_prob_1(A, k1_prob_3(A, B))=k3_prob_1(A, B)) ) ) ).
fof(t15_prob_3, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  => k1_kurato_0(A, k2_prob_3(A, B))=k1_kurato_0(A, B)) ) ) ).
fof(d3_prob_3, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (C=k3_prob_3(A, B) <=>  (k1_prob_2(A, k9_setfam_1(A), C, k5_numbers)=k1_prob_2(A, k9_setfam_1(A), B, k5_numbers) &  (! [D] :  (v7_ordinal1(D) => k1_prob_2(A, k9_setfam_1(A), C, k1_nat_1(D, 1))=k7_prob_1(A, k9_setfam_1(A), k1_prob_2(A, k9_setfam_1(A), B, k1_nat_1(D, 1)), k1_prob_2(A, k9_setfam_1(A), k2_prob_3(A, B), D))) ) ) ) ) ) ) ) ) ).
fof(t16_prob_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(C))))) )  =>  (r2_hidden(B, k1_prob_2(C, k9_setfam_1(C), k3_prob_3(C, D), A)) <=>  (r2_hidden(B, k1_prob_2(C, k9_setfam_1(C), D, A)) &  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(A, E))  & r2_hidden(B, k1_prob_2(C, k9_setfam_1(C), D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_prob_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(B))))) )  => r1_tarski(k1_prob_2(B, k9_setfam_1(B), k3_prob_3(B, C), A), k1_prob_2(B, k9_setfam_1(B), C, A))) ) ) ) ) ).
fof(t18_prob_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(B))))) )  => r1_tarski(k1_prob_2(B, k9_setfam_1(B), k3_prob_3(B, C), A), k1_prob_2(B, k9_setfam_1(B), k2_prob_3(B, C), A))) ) ) ) ) ).
fof(t19_prob_3, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  => r2_funct_2(k4_ordinal1, k9_setfam_1(A), k2_prob_3(A, k3_prob_3(A, B)), k2_prob_3(A, B))) ) ) ).
fof(t20_prob_3, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  => k1_kurato_0(A, k3_prob_3(A, B))=k1_kurato_0(A, B)) ) ) ).
fof(d4_prob_3, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (v1_prob_2(B) <=>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( ~ (C=D)  => r1_xboole_0(k1_prob_2(A, k9_setfam_1(A), B, C), k1_prob_2(A, k9_setfam_1(A), B, D))) ) ) ) ) ) ) ) ) ).
fof(t21_prob_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [D] :  ( (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (r2_funct_2(k4_ordinal1, k9_setfam_1(A), D, k1_prob_3(A, C)) =>  (k1_prob_2(A, B, D, k5_numbers)=k1_prob_2(A, B, C, k5_numbers) &  (! [E] :  (v7_ordinal1(E) => k1_prob_2(A, B, D, k1_nat_1(E, 1))=k5_prob_1(A, B, k1_prob_2(A, B, D, E), k1_prob_2(A, B, C, k1_nat_1(E, 1)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_prob_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [D] :  ( (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (r2_funct_2(k4_ordinal1, k9_setfam_1(A), D, k2_prob_3(A, C)) =>  (k1_prob_2(A, B, D, k5_numbers)=k1_prob_2(A, B, C, k5_numbers) &  (! [E] :  (v7_ordinal1(E) => k1_prob_2(A, B, D, k1_nat_1(E, 1))=k6_prob_1(A, B, k1_prob_2(A, B, D, E), k1_prob_2(A, B, C, k1_nat_1(E, 1)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_prob_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, C) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(B))))) ) )  => r1_tarski(k1_prob_2(B, C, k1_prob_3(B, D), A), k1_prob_2(B, C, D, A))) ) ) ) ) ) ) ).
fof(t24_prob_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, C) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(B))))) ) )  => r1_tarski(k1_prob_2(B, C, D, A), k1_prob_2(B, C, k2_prob_3(B, D), A))) ) ) ) ) ) ) ).
fof(t25_prob_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, C) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(B))))) ) )  =>  (! [E] :  (r2_hidden(E, k1_prob_2(B, C, k1_prob_3(B, D), A)) <=>  (! [F] :  (v7_ordinal1(F) =>  (r1_xxreal_0(F, A) => r2_hidden(E, k1_prob_2(B, C, D, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_prob_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, C) &  (v4_prob_1(D, C) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(C)))) ) )  =>  (! [E] :  ( (v5_relat_1(E, D) &  (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k9_setfam_1(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(C))))) ) )  =>  (r2_hidden(B, k1_prob_2(C, D, k2_prob_3(C, E), A)) <=>  (? [F] :  (v7_ordinal1(F) &  (r1_xxreal_0(F, A) & r2_hidden(B, k1_prob_2(C, D, E, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_prob_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  => v2_prob_1(k1_prob_3(A, C))) ) ) ) ) ).
fof(t28_prob_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  => v3_prob_1(k2_prob_3(A, C))) ) ) ) ) ).
fof(t29_prob_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  => k3_prob_1(A, k1_prob_3(A, C))=k3_prob_1(A, C)) ) ) ) ) ).
fof(t30_prob_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  => k1_kurato_0(A, k2_prob_3(A, C))=k1_kurato_0(A, C)) ) ) ) ) ).
fof(t31_prob_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [D] :  ( (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (r2_funct_2(k4_ordinal1, k9_setfam_1(A), D, k3_prob_3(A, C)) =>  (k1_prob_2(A, B, D, k5_numbers)=k1_prob_2(A, B, C, k5_numbers) &  (! [E] :  (v7_ordinal1(E) => k1_prob_2(A, B, D, k1_nat_1(E, 1))=k7_prob_1(A, B, k1_prob_2(A, B, C, k1_nat_1(E, 1)), k1_prob_2(A, B, k2_prob_3(A, C), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_prob_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, C) &  (v4_prob_1(D, C) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(C)))) ) )  =>  (! [E] :  ( (v5_relat_1(E, D) &  (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k9_setfam_1(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(C))))) ) )  =>  (r2_hidden(B, k1_prob_2(C, D, k3_prob_3(C, E), A)) <=>  (r2_hidden(B, k1_prob_2(C, D, E, A)) &  (! [F] :  (v7_ordinal1(F) =>  ~ ( ( ~ (r1_xxreal_0(A, F))  & r2_hidden(B, k1_prob_2(C, D, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_prob_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, C) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(B))))) ) )  => r1_tarski(k1_prob_2(B, C, k3_prob_3(B, D), A), k1_prob_2(B, C, D, A))) ) ) ) ) ) ) ).
fof(t34_prob_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, C) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(B))))) ) )  => r1_tarski(k1_prob_2(B, C, k3_prob_3(B, D), A), k1_prob_2(B, C, k2_prob_3(B, D), A))) ) ) ) ) ) ) ).
fof(t35_prob_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  => r2_funct_2(k4_ordinal1, k9_setfam_1(A), k2_prob_3(A, k3_prob_3(A, C)), k2_prob_3(A, C))) ) ) ) ) ).
fof(t36_prob_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  => k1_kurato_0(A, k3_prob_3(A, C))=k1_kurato_0(A, C)) ) ) ) ) ).
fof(t37_prob_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [D] :  (m2_prob_1(D, A, B) => v7_valued_0(k8_prob_1(A, B, k2_prob_3(A, C), D))) ) ) ) ) ) ) ) ).
fof(t38_prob_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [D] :  (m2_prob_1(D, A, B) => v8_valued_0(k8_prob_1(A, B, k1_prob_3(A, C), D))) ) ) ) ) ) ) ) ).
fof(t39_prob_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [D] :  (m2_prob_1(D, A, B) => v7_valued_0(k3_series_1(k8_prob_1(A, B, C, D)))) ) ) ) ) ) ) ) ).
fof(t40_prob_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [D] :  (m2_prob_1(D, A, B) => k3_funct_2(k4_ordinal1, k1_numbers, k8_prob_1(A, B, k2_prob_3(A, C), D), k5_numbers)=k3_funct_2(k4_ordinal1, k1_numbers, k3_series_1(k8_prob_1(A, B, C, D)), k5_numbers)) ) ) ) ) ) ) ) ).
fof(t41_prob_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [D] :  (m2_prob_1(D, A, B) =>  (v2_comseq_2(k8_prob_1(A, B, k2_prob_3(A, C), D)) &  (k1_seq_2(k8_prob_1(A, B, k2_prob_3(A, C), D))=k1_rinfsup1(k8_prob_1(A, B, k2_prob_3(A, C), D)) & k1_seq_2(k8_prob_1(A, B, k2_prob_3(A, C), D))=k1_funct_1(D, k1_kurato_0(A, C))) ) ) ) ) ) ) ) ) ) ).
fof(t42_prob_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (v1_prob_2(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( ~ (r1_xxreal_0(E, D))  => r1_xboole_0(k1_prob_2(A, B, k2_prob_3(A, C), D), k1_prob_2(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_prob_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [D] :  ( (v5_relat_1(D, C) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(B))))) ) )  =>  (! [E] :  (m2_prob_1(E, B, C) =>  (v1_prob_2(D) => k1_funct_1(k8_prob_1(B, C, k2_prob_3(B, D), E), A)=k1_funct_1(k3_series_1(k8_prob_1(B, C, D, E)), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_prob_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [D] :  (m2_prob_1(D, A, B) =>  (v1_prob_2(C) => r2_funct_2(k4_ordinal1, k1_numbers, k8_prob_1(A, B, k2_prob_3(A, C), D), k3_series_1(k8_prob_1(A, B, C, D)))) ) ) ) ) ) ) ) ) ).
fof(t45_prob_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [D] :  (m2_prob_1(D, A, B) =>  (v1_prob_2(C) =>  (v2_comseq_2(k3_series_1(k8_prob_1(A, B, C, D))) &  (k1_seq_2(k3_series_1(k8_prob_1(A, B, C, D)))=k1_rinfsup1(k3_series_1(k8_prob_1(A, B, C, D))) & k1_seq_2(k3_series_1(k8_prob_1(A, B, C, D)))=k1_funct_1(D, k1_kurato_0(A, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_prob_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [D] :  (m2_prob_1(D, A, B) =>  (v1_prob_2(C) => k1_funct_1(D, k1_kurato_0(A, C))=k4_series_1(k8_prob_1(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t47_prob_3, axiom,  (! [A] :  (? [B] :  (m2_finseq_1(B, k9_setfam_1(A)) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k1_relset_1(k4_ordinal1, B)) => k4_prob_3(A, B, C)=A) ) ) ) ) ) ).
fof(t48_prob_3, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, k9_setfam_1(A)) => m1_subset_1(k5_setfam_1(A, k2_relset_1(k9_setfam_1(A), B)), k1_zfmisc_1(A))) ) ) ).
fof(t49_prob_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (m2_finseq_1(C, k9_setfam_1(B)) =>  (r2_hidden(A, k5_prob_3(B, C)) <=>  (? [D] :  (v7_ordinal1(D) &  (r2_tarski(D, k1_relset_1(k4_ordinal1, C)) & r2_hidden(A, k4_prob_3(B, C, D))) ) ) ) ) ) ) ) ).
fof(d5_prob_3, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, k9_setfam_1(A)) =>  (! [C] :  (m2_finseq_1(C, k9_setfam_1(A)) =>  (C=k6_prob_3(A, B) <=>  (k3_finseq_1(C)=k3_finseq_1(B) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k1_relset_1(k4_ordinal1, C)) => k4_prob_3(A, C, D)=k3_subset_1(A, k4_prob_3(A, B, D))) ) ) ) ) ) ) ) ) ) ).
fof(d6_prob_3, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, k9_setfam_1(A)) =>  ( ( ~ (B=k1_xboole_0)  => k7_prob_3(A, B)=k3_subset_1(A, k5_prob_3(A, k6_prob_3(A, B))))  &  (B=k1_xboole_0 => k7_prob_3(A, B)=k1_xboole_0) ) ) ) ) ).
fof(t50_prob_3, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, k9_setfam_1(A)) => k1_relset_1(k4_ordinal1, k6_prob_3(A, B))=k1_relset_1(k4_ordinal1, B)) ) ) ).
fof(t51_prob_3, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, k9_setfam_1(A)) =>  (! [C] :  ( ~ (B=k1_xboole_0)  =>  (r2_hidden(C, k7_prob_3(A, B)) <=>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k1_relset_1(k4_ordinal1, B)) => r2_hidden(C, k4_prob_3(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t52_prob_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (m2_finseq_1(C, k9_setfam_1(B)) =>  ( ~ (C=k1_xboole_0)  =>  (r2_hidden(A, k6_setfam_1(B, k2_relset_1(k9_setfam_1(B), C))) <=>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k1_relset_1(k4_ordinal1, C)) => r2_hidden(A, k4_prob_3(B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t53_prob_3, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, k9_setfam_1(A)) => k7_prob_3(A, B)=k6_setfam_1(A, k2_relset_1(k9_setfam_1(A), B))) ) ) ).
fof(t54_prob_3, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, k9_setfam_1(A)) =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  &  ( (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k1_relset_1(k4_ordinal1, B)) => k1_prob_2(A, k9_setfam_1(A), C, D)=k4_prob_3(A, B, D)) ) )  &  (! [D] :  (v7_ordinal1(D) =>  ( ~ (r2_tarski(D, k1_relset_1(k4_ordinal1, B)))  => k1_prob_2(A, k9_setfam_1(A), C, D)=k1_xboole_0) ) ) ) ) ) ) ) ) ).
fof(t55_prob_3, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, k9_setfam_1(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  ( ( (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k1_relset_1(k4_ordinal1, B)) => k1_prob_2(A, k9_setfam_1(A), C, D)=k4_prob_3(A, B, D)) ) )  &  (! [D] :  (v7_ordinal1(D) =>  ( ~ (r2_tarski(D, k1_relset_1(k4_ordinal1, B)))  => k1_prob_2(A, k9_setfam_1(A), C, D)=k1_xboole_0) ) ) )  =>  (k1_prob_2(A, k9_setfam_1(A), C, k5_numbers)=k1_xboole_0 & k1_kurato_0(A, C)=k5_prob_3(A, B)) ) ) ) ) ) ) ).
fof(t56_prob_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_3(C, A, B) =>  (? [D] :  ( (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  &  ( (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k1_relset_1(k4_ordinal1, C)) => k1_prob_2(A, B, D, E)=k8_prob_3(A, B, C, E)) ) )  &  (! [E] :  (v7_ordinal1(E) =>  ( ~ (r2_tarski(E, k1_relset_1(k4_ordinal1, C)))  => k1_prob_2(A, B, D, E)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_prob_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_3(C, A, B) => r2_tarski(k5_prob_3(A, C), B)) ) ) ) ) ).
fof(t58_prob_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_3(C, A, B) => r2_tarski(k7_prob_3(A, C), B)) ) ) ) ) ).
fof(t59_prob_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (m1_prob_3(D, A, B) => k1_relset_1(k4_ordinal1, k1_partfun1(k4_ordinal1, k9_setfam_1(A), B, k1_numbers, D, C))=k1_relset_1(k4_ordinal1, D)) ) ) ) ) ) ) ) ).
fof(t60_prob_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (m1_prob_3(D, A, B) => m2_finseq_1(k1_partfun1(k4_ordinal1, k9_setfam_1(A), B, k1_numbers, D, C), k1_numbers)) ) ) ) ) ) ) ) ).
fof(t61_prob_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (m1_prob_3(D, A, B) => k3_finseq_1(k9_prob_3(A, B, D, C))=k3_finseq_1(D)) ) ) ) ) ) ) ) ).
fof(t62_prob_3, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (k3_finseq_1(A)=k5_numbers => k18_rvsum_1(A)=k5_numbers) ) ) ).
fof(t63_prob_3, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  ~ ( (r1_xxreal_0(1, k3_finseq_1(A)) &  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( (k3_funct_2(k4_ordinal1, k1_numbers, B, 1)=k1_funct_1(A, 1) &  ( (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (k5_numbers=C)  &  ( ~ (r1_xxreal_0(k3_finseq_1(A), C))  &  ~ (k3_funct_2(k4_ordinal1, k1_numbers, B, k1_nat_1(C, 1))=k2_xcmplx_0(k1_funct_1(B, C), k1_funct_1(A, k1_nat_1(C, 1)))) ) ) ) ) )  & k18_rvsum_1(A)=k3_funct_2(k4_ordinal1, k1_numbers, B, k3_finseq_1(A))) ) ) ) ) ) ) ) ) ).
fof(t64_prob_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (m1_prob_3(D, A, B) =>  (! [E] :  ( (v5_relat_1(E, B) &  (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  ( ( (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k1_relset_1(k4_ordinal1, D)) => k1_prob_2(A, B, E, F)=k8_prob_3(A, B, D, F)) ) )  &  (! [F] :  (v7_ordinal1(F) =>  ( ~ (r2_tarski(F, k1_relset_1(k4_ordinal1, D)))  => k1_prob_2(A, B, E, F)=k1_xboole_0) ) ) )  =>  (v2_comseq_2(k3_series_1(k8_prob_1(A, B, E, C))) &  (k4_series_1(k8_prob_1(A, B, E, C))=k3_funct_2(k4_ordinal1, k1_numbers, k3_series_1(k8_prob_1(A, B, E, C)), k3_finseq_1(D)) &  (r1_xxreal_0(k1_funct_1(C, k1_kurato_0(A, E)), k4_series_1(k8_prob_1(A, B, E, C))) & k18_rvsum_1(k9_prob_3(A, B, D, C))=k4_series_1(k8_prob_1(A, B, E, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_prob_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (m1_prob_3(D, A, B) =>  (r1_xxreal_0(k1_funct_1(C, k5_prob_3(A, D)), k18_rvsum_1(k9_prob_3(A, B, D, C))) &  (v1_prob_2(D) => k1_funct_1(C, k5_prob_3(A, D))=k18_rvsum_1(k9_prob_3(A, B, D, C))) ) ) ) ) ) ) ) ) ) ).
fof(d9_prob_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (v2_prob_3(B, A) <=>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  ( (v3_prob_1(C) & r1_tarski(k2_relset_1(k9_setfam_1(A), C), B))  => r2_tarski(k1_kurato_0(A, C), B)) ) ) ) ) ) ) ).
fof(d10_prob_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (v3_prob_3(B, A) <=>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  ( (v2_prob_1(C) & r1_tarski(k2_relset_1(k9_setfam_1(A), C), B))  => r2_tarski(k3_prob_1(A, C), B)) ) ) ) ) ) ) ).
fof(t66_prob_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (v2_prob_3(B, A) <=>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  ( (v3_prob_1(C) & r1_tarski(k2_relset_1(k9_setfam_1(A), C), B))  => r2_tarski(k4_kurato_0(A, C), B)) ) ) ) ) ) ) ).
fof(t67_prob_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (v3_prob_3(B, A) <=>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  ( (v2_prob_1(C) & r1_tarski(k2_relset_1(k9_setfam_1(A), C), B))  => r2_tarski(k4_kurato_0(A, C), B)) ) ) ) ) ) ) ).
fof(t68_prob_3, axiom,  (! [A] :  (v2_prob_3(k9_setfam_1(A), A) & v3_prob_3(k9_setfam_1(A), A)) ) ).
fof(t69_prob_3, axiom,  (! [A] :  (! [B] :  ( (v2_prob_3(B, A) &  (v3_prob_3(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) )  <=>  (r1_tarski(B, k9_setfam_1(A)) &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  ( (v1_setlim_1(C, A) & r1_tarski(k2_relset_1(k9_setfam_1(A), C), B))  => r2_tarski(k4_kurato_0(A, C), B)) ) ) ) ) ) ) ).
fof(t70_prob_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_finsub_1(B) &  (v1_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  <=>  (v2_prob_3(B, A) &  (v3_prob_3(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ) ) ) ).
fof(t71_prob_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v2_prob_3(k9_setfam_1(A), A) &  (v3_prob_3(k9_setfam_1(A), A) & m1_subset_1(k9_setfam_1(A), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ) ).
fof(d11_prob_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [C] :  ( (v2_prob_3(C, A) &  (v3_prob_3(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) )  =>  (C=k10_prob_3(A, B) <=>  (r1_tarski(B, C) &  (! [D] :  ( (r1_tarski(B, D) &  (v2_prob_3(D, A) &  (v3_prob_3(D, A) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  => r1_tarski(C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t72_prob_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_finsub_1(B) &  (v1_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  ( ~ (v1_xboole_0(k10_prob_3(A, B)))  &  (v2_finsub_1(k10_prob_3(A, B)) &  (v1_prob_1(k10_prob_3(A, B), A) & m1_subset_1(k10_prob_3(A, B), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ) ) ) ) ).
fof(t73_prob_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_finsub_1(B) &  (v1_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  => k9_prob_1(A, B)=k10_prob_3(A, B)) ) ) ) ).
fof(dt_k1_prob_3, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (v1_funct_1(k1_prob_3(A, B)) &  (v1_funct_2(k1_prob_3(A, B), k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(k1_prob_3(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) ) ) ).
fof(dt_k2_prob_3, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (v1_funct_1(k2_prob_3(A, B)) &  (v1_funct_2(k2_prob_3(A, B), k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(k2_prob_3(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) ) ) ).
fof(dt_k3_prob_3, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (v1_funct_1(k3_prob_3(A, B)) &  (v1_funct_2(k3_prob_3(A, B), k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(k3_prob_3(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) ) ) ).
fof(redefinition_v1_prob_3, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (v1_prob_3(B, A) <=> v1_prob_2(B)) ) ) ).
fof(dt_k4_prob_3, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, k9_setfam_1(A)) & v7_ordinal1(C))  => m1_subset_1(k4_prob_3(A, B, C), k1_zfmisc_1(A))) ) ).
fof(redefinition_k4_prob_3, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, k9_setfam_1(A)) & v7_ordinal1(C))  => k4_prob_3(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k5_prob_3, axiom,  (! [A, B] :  (m1_finseq_1(B, k9_setfam_1(A)) => m1_subset_1(k5_prob_3(A, B), k1_zfmisc_1(A))) ) ).
fof(redefinition_k5_prob_3, axiom,  (! [A, B] :  (m1_finseq_1(B, k9_setfam_1(A)) => k5_prob_3(A, B)=k3_card_3(B)) ) ).
fof(dt_k6_prob_3, axiom,  (! [A, B] :  (m1_finseq_1(B, k9_setfam_1(A)) => m2_finseq_1(k6_prob_3(A, B), k9_setfam_1(A))) ) ).
fof(dt_k7_prob_3, axiom,  (! [A, B] :  (m1_finseq_1(B, k9_setfam_1(A)) => m1_subset_1(k7_prob_3(A, B), k1_zfmisc_1(A))) ) ).
fof(dt_m1_prob_3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_3(C, A, B) => m2_finseq_1(C, k9_setfam_1(A))) ) ) ) ).
fof(existence_m1_prob_3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (? [C] : m1_prob_3(C, A, B)) ) ) ).
fof(redefinition_m1_prob_3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_prob_3(C, A, B) <=> m1_finseq_1(C, B)) ) ) ) ).
fof(dt_k8_prob_3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m1_finseq_1(C, B) & v7_ordinal1(D)) )  => m1_prob_1(k8_prob_3(A, B, C, D), A, B)) ) ).
fof(redefinition_k8_prob_3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m1_finseq_1(C, B) & v7_ordinal1(D)) )  => k8_prob_3(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(dt_k9_prob_3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m1_finseq_1(C, B) & m2_prob_1(D, A, B)) ) )  => m2_finseq_1(k9_prob_3(A, B, C, D), k1_numbers)) ) ).
fof(redefinition_k9_prob_3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m1_finseq_1(C, B) & m2_prob_1(D, A, B)) ) )  => k9_prob_3(A, B, C, D)=k3_relat_1(C, D)) ) ).
fof(dt_k10_prob_3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  (v2_prob_3(k10_prob_3(A, B), A) &  (v3_prob_3(k10_prob_3(A, B), A) & m1_subset_1(k10_prob_3(A, B), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ) ).
fof(rc1_prob_4, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k9_setfam_1(A)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & v1_prob_2(B)) ) ) ) ) ) ) ) ) ) ).
fof(rc2_prob_4, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A)))) &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, B) &  (v5_relat_1(C, k9_setfam_1(A)) &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) &  (v1_partfun1(C, k4_ordinal1) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & v1_prob_2(C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_prob_4, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  & m2_prob_1(C, A, B)) )  =>  ( ~ (v1_xboole_0(k4_prob_4(A, B, C)))  &  (v1_prob_1(k4_prob_4(A, B, C), A) & v4_prob_1(k4_prob_4(A, B, C), A)) ) ) ) ).
fof(t1_prob_4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  => r1_tarski(k4_measure1(A, k9_setfam_1(A), C), B)) ) ) ) ) ).
fof(t2_prob_4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  <=>  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) ) ) ) ) ) ) ).
fof(t3_prob_4, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (r1_xboole_0(B, C) => v1_prob_2(k12_funct_7(B, C, k1_xboole_0))) ) ) ) ) ) ).
fof(t4_prob_4, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  <=>  (r1_tarski(B, k1_zfmisc_1(A)) &  ( (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (r1_tarski(k4_measure1(A, k9_setfam_1(A), C), B) => r2_tarski(k1_prob_1(A, C), B)) ) )  &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (r2_tarski(C, B) => r2_tarski(k3_subset_1(A, C), B)) ) ) ) ) ) ) ) ) ).
fof(t5_prob_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (m1_prob_1(D, A, B) =>  (! [E] :  (m1_prob_1(E, A, B) => k3_funct_2(B, k1_numbers, C, k3_measure1(A, B, D, E))=k6_xcmplx_0(k3_funct_2(B, k1_numbers, C, k1_measure1(A, B, D, E)), k3_funct_2(B, k1_numbers, C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t6_prob_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (m1_prob_1(D, A, B) =>  (! [E] :  (m1_prob_1(E, A, B) =>  ( (r1_tarski(D, E) & k3_funct_2(B, k1_numbers, C, E)=k5_numbers)  => k3_funct_2(B, k1_numbers, C, D)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_prob_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [D] :  (m2_prob_1(D, A, B) =>  ( (! [E] :  (m1_subset_1(E, k4_ordinal1) => k3_funct_2(B, k1_numbers, D, k1_prob_4(A, B, C, E))=k5_numbers) )  <=> k1_funct_1(D, k1_prob_1(A, C))=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(t8_prob_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (! [D] :  (m2_prob_1(D, A, B) =>  ( (! [E] :  (r2_tarski(E, k4_measure1(A, k9_setfam_1(A), C)) => k1_funct_1(D, E)=k5_numbers) )  <=> k1_funct_1(D, k5_setfam_1(A, k4_measure1(A, k9_setfam_1(A), C)))=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(t9_prob_4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (r1_funct_2(k4_ordinal1, k1_numbers, k4_ordinal1, k6_numbers, A, B) => r1_funct_2(k4_ordinal1, k1_numbers, k4_ordinal1, k6_numbers, k3_series_1(A), k16_supinf_2(B))) ) ) ) ) ).
fof(t10_prob_4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( (r1_funct_2(k4_ordinal1, k1_numbers, k4_ordinal1, k6_numbers, A, B) & v1_seq_2(A))  => k1_rinfsup1(A)=k1_xxreal_2(k2_relset_1(k6_numbers, B))) ) ) ) ) ).
fof(t11_prob_4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( (r1_funct_2(k4_ordinal1, k1_numbers, k4_ordinal1, k6_numbers, A, B) & v2_seq_2(A))  => k2_rinfsup1(A)=k2_xxreal_2(k2_relset_1(k6_numbers, B))) ) ) ) ) ).
fof(t12_prob_4, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( (r1_funct_2(k4_ordinal1, k1_numbers, k4_ordinal1, k6_numbers, A, B) &  (v4_partfun3(A) & v1_series_1(A)) )  => k4_series_1(A)=k17_supinf_2(B)) ) ) ) ) ).
fof(t13_prob_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_prob_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) => k2_prob_4(A, B, C)=C) ) ) ) ) ) ).
fof(t14_prob_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (k1_funct_1(C, A)=1 => m2_prob_1(C, A, B)) ) ) ) ) ) ) ).
fof(d2_prob_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (k1_funct_1(C, A)=1 => k3_prob_4(A, B, C)=C) ) ) ) ) ) ) ).
fof(t15_prob_4, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (v3_prob_1(B) => r2_funct_2(k4_ordinal1, k9_setfam_1(A), k2_prob_3(A, B), B)) ) ) ) ).
fof(t16_prob_4, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (v3_prob_1(B) =>  (k1_prob_4(A, k9_setfam_1(A), k3_prob_3(A, B), k5_numbers)=k1_prob_4(A, k9_setfam_1(A), B, k5_numbers) &  (! [C] :  (v7_ordinal1(C) => k1_prob_4(A, k9_setfam_1(A), k3_prob_3(A, B), k1_nat_1(C, 1))=k3_measure1(A, k9_setfam_1(A), k1_prob_4(A, k9_setfam_1(A), B, k1_nat_1(C, 1)), k1_prob_2(A, k9_setfam_1(A), B, C))) ) ) ) ) ) ) ).
fof(t17_prob_4, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (v3_prob_1(B) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => k1_prob_4(A, k9_setfam_1(A), B, k1_nat_1(C, 1))=k1_measure1(A, k9_setfam_1(A), k1_prob_4(A, k9_setfam_1(A), k3_prob_3(A, B), k1_nat_1(C, 1)), k1_prob_4(A, k9_setfam_1(A), B, C))) ) ) ) ) ) ).
fof(t18_prob_4, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  (v3_prob_1(B) =>  (! [C] :  (v7_ordinal1(C) => r1_xboole_0(k1_prob_4(A, k9_setfam_1(A), k3_prob_3(A, B), k1_nat_1(C, 1)), k1_prob_2(A, k9_setfam_1(A), B, C))) ) ) ) ) ) ).
fof(t19_prob_4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (v3_prob_1(C) => r2_funct_2(k4_ordinal1, k9_setfam_1(A), k2_prob_3(A, C), C)) ) ) ) ) ) ).
fof(t20_prob_4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (v3_prob_1(C) =>  (k1_prob_4(A, B, k3_prob_3(A, C), k5_numbers)=k1_prob_4(A, B, C, k5_numbers) &  (! [D] :  (m1_subset_1(D, k4_ordinal1) => k1_prob_4(A, B, k3_prob_3(A, C), k1_nat_1(D, 1))=k3_measure1(A, B, k1_prob_4(A, B, C, k1_nat_1(D, 1)), k1_prob_4(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t21_prob_4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (v3_prob_1(C) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) => r1_xboole_0(k1_prob_4(A, B, k3_prob_3(A, C), k1_nat_1(D, 1)), k1_prob_4(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(d3_prob_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (r1_prob_4(A, B, C) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (! [E] :  ( (r2_tarski(E, B) &  (r1_tarski(D, E) & k1_funct_1(C, E)=k5_numbers) )  => r2_tarski(D, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_prob_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (r1_prob_4(A, B, C) <=> r1_measure3(A, B, k2_prob_4(A, B, C))) ) ) ) ) ) ) ).
fof(d4_prob_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (m1_prob_4(D, A, B, C) <=>  (? [E] :  (r2_tarski(E, B) &  (r1_tarski(D, E) & k1_funct_1(C, E)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_prob_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (m1_prob_4(D, A, B, C) <=> m1_measure3(D, A, B, k2_prob_4(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t24_prob_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) => m1_prob_4(k1_xboole_0, A, B, C)) ) ) ) ) ) ).
fof(t25_prob_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (! [E] :  ( (r2_tarski(D, B) & r2_tarski(E, B))  =>  (! [F] :  (m1_prob_4(F, A, B, C) =>  (! [G] :  (m1_prob_4(G, A, B, C) =>  (k2_xboole_0(D, F)=k2_xboole_0(E, G) => k1_funct_1(C, D)=k1_funct_1(C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_prob_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  (D=k4_prob_4(A, B, C) <=>  (! [E] :  (r2_tarski(E, D) <=>  (? [F] :  (r2_tarski(F, B) &  (? [G] :  (m1_prob_4(G, A, B, C) & E=k2_xboole_0(F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_prob_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (m1_prob_4(D, A, B, C) => r2_tarski(D, k4_prob_4(A, B, C))) ) ) ) ) ) ) ) ).
fof(t27_prob_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) => k4_prob_4(A, B, C)=k2_measure3(A, B, k2_prob_4(A, B, C))) ) ) ) ) ) ).
fof(d6_prob_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), k4_prob_4(A, B, C)) => k5_prob_4(A, B, C, D)=D) ) ) ) ) ) ) ) ).
fof(t28_prob_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) => r1_tarski(B, k4_prob_4(A, B, C))) ) ) ) ) ) ).
fof(d7_prob_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), k4_prob_4(A, B, C)) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  (E=k6_prob_4(A, B, C, D) <=>  (! [F] :  (r2_tarski(F, E) <=>  (r2_tarski(F, B) &  (r1_tarski(F, D) & m1_prob_4(k7_subset_1(A, D, F), A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_prob_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), k4_prob_4(A, B, C)) => k6_prob_4(A, B, C, D)=k3_measure3(A, B, k2_prob_4(A, B, C), k5_prob_4(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t30_prob_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), k4_prob_4(A, B, C)) =>  (! [E] :  (! [F] :  ( (r2_tarski(E, k6_prob_4(A, B, C, D)) & r2_tarski(F, k6_prob_4(A, B, C, D)))  => k1_funct_1(C, E)=k1_funct_1(C, F)) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_prob_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_prob_4(A, B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_prob_4(A, B, C))))) )  =>  (? [E] :  ( (v5_relat_1(E, B) &  (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  &  (! [F] :  (m1_subset_1(F, k4_ordinal1) => r2_tarski(k1_prob_4(A, B, E, F), k6_prob_4(A, B, C, k3_funct_2(k4_ordinal1, k4_prob_4(A, B, C), D, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_prob_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k4_prob_4(A, B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_prob_4(A, B, C))))) )  =>  (! [E] :  ( (v5_relat_1(E, B) &  (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  &  (! [G] :  (m1_subset_1(G, k4_ordinal1) => k1_prob_4(A, k9_setfam_1(A), F, G)=k6_subset_1(k3_funct_2(k4_ordinal1, k4_prob_4(A, B, C), D, G), k1_prob_4(A, B, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_prob_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  ~ ( ( (! [E] :  (m1_subset_1(E, k4_ordinal1) => m1_prob_4(k1_prob_4(A, k9_setfam_1(A), D, E), A, B, C)) )  &  (! [E] :  ( (v5_relat_1(E, B) &  (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  =>  ~ ( (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r1_tarski(k1_prob_4(A, k9_setfam_1(A), D, F), k1_prob_4(A, B, E, F)) & k3_funct_2(B, k1_numbers, C, k1_prob_4(A, B, E, F))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_prob_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  ( (! [E] :  (r2_tarski(E, D) <=>  (? [F] :  (r2_tarski(F, B) &  (? [G] :  (m1_prob_4(G, A, B, C) & E=k2_xboole_0(F, G)) ) ) ) ) )  =>  ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, A) &  (v4_prob_1(D, A) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_prob_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (r2_tarski(D, k4_prob_4(A, B, C)) <=>  (? [E] :  (? [F] :  (r2_tarski(E, B) &  (r2_tarski(F, B) &  (r1_tarski(E, D) &  (r1_tarski(D, F) & k1_funct_1(C, k6_subset_1(F, E))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_prob_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  ( (! [E] :  (r2_tarski(E, D) <=>  (? [F] :  (? [G] :  (r2_tarski(F, B) &  (r2_tarski(G, B) &  (r1_tarski(F, E) &  (r1_tarski(E, G) & k1_funct_1(C, k6_subset_1(G, F))=k5_numbers) ) ) ) ) ) ) )  => D=k4_prob_4(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(d8_prob_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (m2_prob_1(D, A, k4_prob_4(A, B, C)) =>  (D=k7_prob_4(A, B, C) <=>  (! [E] :  (r2_tarski(E, B) =>  (! [F] :  (m2_prob_4(F, A, B, C) => k1_funct_1(D, k2_xboole_0(E, F))=k1_funct_1(C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_prob_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) => r1_funct_2(k4_prob_4(A, B, C), k1_numbers, k2_measure3(A, B, k2_prob_4(A, B, C)), k6_numbers, k7_prob_4(A, B, C), k4_measure3(A, B, k2_prob_4(A, B, C)))) ) ) ) ) ) ).
fof(t38_prob_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) => r1_prob_4(A, k4_prob_4(A, B, C), k7_prob_4(A, B, C))) ) ) ) ) ) ).
fof(t39_prob_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (m1_prob_1(D, A, B) => k3_funct_2(B, k1_numbers, C, D)=k1_funct_1(k7_prob_4(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t40_prob_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (m2_prob_4(D, A, B, C) => k3_funct_2(k4_prob_4(A, B, C), k1_numbers, k7_prob_4(A, B, C), D)=k5_numbers) ) ) ) ) ) ) ) ).
fof(t41_prob_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(A), k4_prob_4(A, B, C)) =>  (! [E] :  (r2_tarski(E, k6_prob_4(A, B, C, D)) => k1_funct_1(C, E)=k3_funct_2(k4_prob_4(A, B, C), k1_numbers, k7_prob_4(A, B, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(s1_prob_4, axiom,  (? [A] :  ( (v5_relat_1(A, f2_s1_prob_4) &  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k9_setfam_1(f1_s1_prob_4)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(f1_s1_prob_4))))) ) )  &  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k1_prob_4(f1_s1_prob_4, f2_s1_prob_4, A, B)=f3_s1_prob_4(B)) ) ) ) ).
fof(dt_k1_prob_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  & m1_subset_1(D, k4_ordinal1)) )  => m2_subset_1(k1_prob_4(A, B, C, D), k1_zfmisc_1(A), B)) ) ).
fof(redefinition_k1_prob_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) ) )  & m1_subset_1(D, k4_ordinal1)) )  => k1_prob_4(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(dt_f2_s1_prob_4, axiom,  ( ~ (v1_xboole_0(f2_s1_prob_4))  &  (v1_prob_1(f2_s1_prob_4, f1_s1_prob_4) &  (v4_prob_1(f2_s1_prob_4, f1_s1_prob_4) & m1_subset_1(f2_s1_prob_4, k1_zfmisc_1(k1_zfmisc_1(f1_s1_prob_4)))) ) ) ).
fof(dt_f3_s1_prob_4, axiom,  (! [A] : m2_subset_1(f3_s1_prob_4(A), k1_zfmisc_1(f1_s1_prob_4), f2_s1_prob_4)) ).
fof(dt_k2_prob_4, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  & m2_prob_1(C, A, B)) )  =>  (v1_funct_1(k2_prob_4(A, B, C)) &  (v1_funct_2(k2_prob_4(A, B, C), B, k6_numbers) &  (v10_valued_0(k2_prob_4(A, B, C)) &  (v6_supinf_2(k2_prob_4(A, B, C)) &  (v4_measure1(k2_prob_4(A, B, C), A, B) & m1_subset_1(k2_prob_4(A, B, C), k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) ) ) ).
fof(dt_k3_prob_4, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) ) ) )  => m2_prob_1(k3_prob_4(A, B, C), A, B)) ) ).
fof(dt_m1_prob_4, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  & m2_prob_1(C, A, B)) )  =>  (! [D] :  (m1_prob_4(D, A, B, C) => m1_subset_1(D, k1_zfmisc_1(A))) ) ) ) ).
fof(existence_m1_prob_4, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  & m2_prob_1(C, A, B)) )  =>  (? [D] : m1_prob_4(D, A, B, C)) ) ) ).
fof(dt_k4_prob_4, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  & m2_prob_1(C, A, B)) )  =>  ( ~ (v1_xboole_0(k4_prob_4(A, B, C)))  & m1_subset_1(k4_prob_4(A, B, C), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ).
fof(dt_k5_prob_4, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m2_prob_1(C, A, B) & m1_subset_1(D, k4_prob_4(A, B, C))) ) )  => m2_subset_1(k5_prob_4(A, B, C, D), k1_zfmisc_1(A), k2_measure3(A, B, k2_prob_4(A, B, C)))) ) ).
fof(dt_k6_prob_4, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m2_prob_1(C, A, B) & m1_subset_1(D, k4_prob_4(A, B, C))) ) )  =>  ( ~ (v1_xboole_0(k6_prob_4(A, B, C, D)))  & m1_subset_1(k6_prob_4(A, B, C, D), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ).
fof(dt_m2_prob_4, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  & m2_prob_1(C, A, B)) )  =>  (! [D] :  (m2_prob_4(D, A, B, C) => m1_prob_1(D, A, k4_prob_4(A, B, C))) ) ) ) ).
fof(existence_m2_prob_4, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  & m2_prob_1(C, A, B)) )  =>  (? [D] : m2_prob_4(D, A, B, C)) ) ) ).
fof(redefinition_m2_prob_4, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  & m2_prob_1(C, A, B)) )  =>  (! [D] :  (m2_prob_4(D, A, B, C) <=> m1_prob_4(D, A, B, C)) ) ) ) ).
fof(dt_k7_prob_4, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  & m2_prob_1(C, A, B)) )  => m2_prob_1(k7_prob_4(A, B, C), A, k4_prob_4(A, B, C))) ) ).
fof(t1_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k6_cqc_lang(A, k7_cqc_lang(A, B, k6_cqc_lang(A, B))), k4_cqc_the1(A))) ) ) ) ).
fof(t2_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k9_cqc_lang(A, B, k6_cqc_lang(A, B)), k4_cqc_the1(A))) ) ) ) ).
fof(t3_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, B, k9_cqc_lang(A, B, C)), k4_cqc_the1(A))) ) ) ) ) ) ).
fof(t4_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, C, k9_cqc_lang(A, B, C)), k4_cqc_the1(A))) ) ) ) ) ) ).
fof(t5_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k9_cqc_lang(A, B, C), k8_cqc_lang(A, k6_cqc_lang(A, B), C)), k4_cqc_the1(A))) ) ) ) ) ) ).
fof(t6_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k6_cqc_lang(A, k9_cqc_lang(A, B, C)), k7_cqc_lang(A, k6_cqc_lang(A, B), k6_cqc_lang(A, C))), k4_cqc_the1(A))) ) ) ) ) ) ).
fof(t7_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k7_cqc_lang(A, k6_cqc_lang(A, B), k6_cqc_lang(A, C)), k6_cqc_lang(A, k9_cqc_lang(A, B, C))), k4_cqc_the1(A))) ) ) ) ) ) ).
fof(t8_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k9_cqc_lang(A, B, C), k9_cqc_lang(A, C, B)), k4_cqc_the1(A))) ) ) ) ) ) ).
fof(t9_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k9_cqc_lang(A, k6_cqc_lang(A, B), B), k4_cqc_the1(A))) ) ) ) ).
fof(t10_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k6_cqc_lang(A, k9_cqc_lang(A, B, C)), k6_cqc_lang(A, B)), k4_cqc_the1(A))) ) ) ) ) ) ).
fof(t11_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k9_cqc_lang(A, B, B), B), k4_cqc_the1(A))) ) ) ) ).
fof(t12_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, B, k9_cqc_lang(A, B, B)), k4_cqc_the1(A))) ) ) ) ).
fof(t13_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k7_cqc_lang(A, B, k6_cqc_lang(A, B)), C), k4_cqc_the1(A))) ) ) ) ) ) ).
fof(t14_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k8_cqc_lang(A, B, C), k9_cqc_lang(A, k6_cqc_lang(A, B), C)), k4_cqc_the1(A))) ) ) ) ) ) ).
fof(t15_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k7_cqc_lang(A, B, C), k6_cqc_lang(A, k8_cqc_lang(A, B, k6_cqc_lang(A, C)))), k4_cqc_the1(A))) ) ) ) ) ) ).
fof(t16_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k6_cqc_lang(A, k8_cqc_lang(A, B, k6_cqc_lang(A, C))), k7_cqc_lang(A, B, C)), k4_cqc_the1(A))) ) ) ) ) ) ).
fof(t17_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k6_cqc_lang(A, k7_cqc_lang(A, B, C)), k9_cqc_lang(A, k6_cqc_lang(A, B), k6_cqc_lang(A, C))), k4_cqc_the1(A))) ) ) ) ) ) ).
fof(t18_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k9_cqc_lang(A, k6_cqc_lang(A, B), k6_cqc_lang(A, C)), k6_cqc_lang(A, k7_cqc_lang(A, B, C))), k4_cqc_the1(A))) ) ) ) ) ) ).
fof(t19_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k7_cqc_lang(A, B, C), B), k4_cqc_the1(A))) ) ) ) ) ) ).
fof(t20_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k7_cqc_lang(A, B, C), k9_cqc_lang(A, B, C)), k4_cqc_the1(A))) ) ) ) ) ) ).
fof(t21_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k7_cqc_lang(A, B, C), C), k4_cqc_the1(A))) ) ) ) ) ) ).
fof(t22_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, B, k7_cqc_lang(A, B, B)), k4_cqc_the1(A))) ) ) ) ).
fof(t23_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k10_cqc_lang(A, B, C), k8_cqc_lang(A, B, C)), k4_cqc_the1(A))) ) ) ) ) ) ).
fof(t24_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k10_cqc_lang(A, B, C), k8_cqc_lang(A, C, B)), k4_cqc_the1(A))) ) ) ) ) ) ).
fof(t25_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k9_cqc_lang(A, k9_cqc_lang(A, B, C), D), k9_cqc_lang(A, B, k9_cqc_lang(A, C, D))), k4_cqc_the1(A))) ) ) ) ) ) ) ) ).
fof(t26_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k7_cqc_lang(A, k7_cqc_lang(A, B, C), D), k7_cqc_lang(A, B, k7_cqc_lang(A, C, D))), k4_cqc_the1(A))) ) ) ) ) ) ) ) ).
fof(t27_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k9_cqc_lang(A, B, k9_cqc_lang(A, C, D)), k9_cqc_lang(A, k9_cqc_lang(A, B, C), D)), k4_cqc_the1(A))) ) ) ) ) ) ) ) ).
fof(t28_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, B, k8_cqc_lang(A, C, k7_cqc_lang(A, B, C))), k4_cqc_the1(A))) ) ) ) ) ) ).
fof(t29_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k8_cqc_lang(A, B, C), k8_cqc_lang(A, k8_cqc_lang(A, C, B), k10_cqc_lang(A, B, C))), k4_cqc_the1(A))) ) ) ) ) ) ).
fof(t30_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k10_cqc_lang(A, k9_cqc_lang(A, B, C), k9_cqc_lang(A, C, B)), k4_cqc_the1(A))) ) ) ) ) ) ).
fof(t31_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k8_cqc_lang(A, k7_cqc_lang(A, B, C), D), k8_cqc_lang(A, B, k8_cqc_lang(A, C, D))), k4_cqc_the1(A))) ) ) ) ) ) ) ) ).
fof(t32_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k8_cqc_lang(A, B, k8_cqc_lang(A, C, D)), k8_cqc_lang(A, k7_cqc_lang(A, B, C), D)), k4_cqc_the1(A))) ) ) ) ) ) ) ) ).
fof(t33_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k8_cqc_lang(A, D, B), k8_cqc_lang(A, k8_cqc_lang(A, D, C), k8_cqc_lang(A, D, k7_cqc_lang(A, B, C)))), k4_cqc_the1(A))) ) ) ) ) ) ) ) ).
fof(t34_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k8_cqc_lang(A, k9_cqc_lang(A, B, C), D), k9_cqc_lang(A, k8_cqc_lang(A, B, D), k8_cqc_lang(A, C, D))), k4_cqc_the1(A))) ) ) ) ) ) ) ) ).
fof(t35_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k8_cqc_lang(A, B, D), k8_cqc_lang(A, k8_cqc_lang(A, C, D), k8_cqc_lang(A, k9_cqc_lang(A, B, C), D))), k4_cqc_the1(A))) ) ) ) ) ) ) ) ).
fof(t36_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k7_cqc_lang(A, k8_cqc_lang(A, B, D), k8_cqc_lang(A, C, D)), k8_cqc_lang(A, k9_cqc_lang(A, B, C), D)), k4_cqc_the1(A))) ) ) ) ) ) ) ) ).
fof(t37_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k8_cqc_lang(A, B, k7_cqc_lang(A, C, k6_cqc_lang(A, C))), k6_cqc_lang(A, B)), k4_cqc_the1(A))) ) ) ) ) ) ).
fof(t38_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k7_cqc_lang(A, k9_cqc_lang(A, B, C), k9_cqc_lang(A, B, D)), k9_cqc_lang(A, B, k7_cqc_lang(A, C, D))), k4_cqc_the1(A))) ) ) ) ) ) ) ) ).
fof(t39_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k7_cqc_lang(A, B, k9_cqc_lang(A, C, D)), k9_cqc_lang(A, k7_cqc_lang(A, B, C), k7_cqc_lang(A, B, D))), k4_cqc_the1(A))) ) ) ) ) ) ) ) ).
fof(t40_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k7_cqc_lang(A, k9_cqc_lang(A, B, D), k9_cqc_lang(A, C, D)), k9_cqc_lang(A, k7_cqc_lang(A, B, C), D)), k4_cqc_the1(A))) ) ) ) ) ) ) ) ).
fof(t41_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A, k7_cqc_lang(A, k9_cqc_lang(A, B, C), D), k9_cqc_lang(A, k7_cqc_lang(A, B, D), k7_cqc_lang(A, C, D))), k4_cqc_the1(A))) ) ) ) ) ) ) ) ).
fof(t42_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r2_hidden(B, k4_cqc_the1(A)) => r2_hidden(k9_cqc_lang(A, B, C), k4_cqc_the1(A))) ) ) ) ) ) ) ).
fof(t43_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r2_hidden(C, k4_cqc_the1(A)) => r2_hidden(k9_cqc_lang(A, B, C), k4_cqc_the1(A))) ) ) ) ) ) ) ).
fof(t44_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r2_hidden(k7_cqc_lang(A, B, C), k4_cqc_the1(A)) => r2_hidden(B, k4_cqc_the1(A))) ) ) ) ) ) ) ).
fof(t45_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r2_hidden(k7_cqc_lang(A, B, C), k4_cqc_the1(A)) => r2_hidden(C, k4_cqc_the1(A))) ) ) ) ) ) ) ).
fof(t46_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r2_hidden(k7_cqc_lang(A, B, C), k4_cqc_the1(A)) => r2_hidden(k9_cqc_lang(A, B, C), k4_cqc_the1(A))) ) ) ) ) ) ) ).
fof(t47_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (r2_hidden(B, k4_cqc_the1(A)) & r2_hidden(C, k4_cqc_the1(A)))  => r2_hidden(k7_cqc_lang(A, B, C), k4_cqc_the1(A))) ) ) ) ) ) ) ).
fof(t48_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r2_hidden(k8_cqc_lang(A, B, C), k4_cqc_the1(A)) => r2_hidden(k8_cqc_lang(A, k9_cqc_lang(A, B, D), k9_cqc_lang(A, C, D)), k4_cqc_the1(A))) ) ) ) ) ) ) ) ) ).
fof(t49_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r2_hidden(k8_cqc_lang(A, B, C), k4_cqc_the1(A)) => r2_hidden(k8_cqc_lang(A, k9_cqc_lang(A, D, B), k9_cqc_lang(A, D, C)), k4_cqc_the1(A))) ) ) ) ) ) ) ) ) ).
fof(t50_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r2_hidden(k8_cqc_lang(A, B, C), k4_cqc_the1(A)) => r2_hidden(k8_cqc_lang(A, k7_cqc_lang(A, D, B), k7_cqc_lang(A, D, C)), k4_cqc_the1(A))) ) ) ) ) ) ) ) ) ).
fof(t51_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r2_hidden(k8_cqc_lang(A, B, C), k4_cqc_the1(A)) => r2_hidden(k8_cqc_lang(A, k7_cqc_lang(A, B, D), k7_cqc_lang(A, C, D)), k4_cqc_the1(A))) ) ) ) ) ) ) ) ) ).
fof(t52_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (r2_hidden(k8_cqc_lang(A, D, B), k4_cqc_the1(A)) & r2_hidden(k8_cqc_lang(A, D, C), k4_cqc_the1(A)))  => r2_hidden(k8_cqc_lang(A, D, k7_cqc_lang(A, B, C)), k4_cqc_the1(A))) ) ) ) ) ) ) ) ) ).
fof(t53_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (r2_hidden(k8_cqc_lang(A, B, D), k4_cqc_the1(A)) & r2_hidden(k8_cqc_lang(A, C, D), k4_cqc_the1(A)))  => r2_hidden(k8_cqc_lang(A, k9_cqc_lang(A, B, C), D), k4_cqc_the1(A))) ) ) ) ) ) ) ) ) ).
fof(t54_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (r2_hidden(k9_cqc_lang(A, B, C), k4_cqc_the1(A)) & r2_hidden(k6_cqc_lang(A, B), k4_cqc_the1(A)))  => r2_hidden(C, k4_cqc_the1(A))) ) ) ) ) ) ) ).
fof(t55_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (r2_hidden(k9_cqc_lang(A, B, C), k4_cqc_the1(A)) & r2_hidden(k6_cqc_lang(A, C), k4_cqc_the1(A)))  => r2_hidden(B, k4_cqc_the1(A))) ) ) ) ) ) ) ).
fof(t56_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m2_subset_1(E, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (r2_hidden(k8_cqc_lang(A, B, C), k4_cqc_the1(A)) & r2_hidden(k8_cqc_lang(A, D, E), k4_cqc_the1(A)))  => r2_hidden(k8_cqc_lang(A, k7_cqc_lang(A, B, D), k7_cqc_lang(A, C, E)), k4_cqc_the1(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m2_subset_1(E, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (r2_hidden(k8_cqc_lang(A, B, C), k4_cqc_the1(A)) & r2_hidden(k8_cqc_lang(A, D, E), k4_cqc_the1(A)))  => r2_hidden(k8_cqc_lang(A, k9_cqc_lang(A, B, D), k9_cqc_lang(A, C, E)), k4_cqc_the1(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_procal_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r2_hidden(k8_cqc_lang(A, k7_cqc_lang(A, B, k6_cqc_lang(A, C)), k6_cqc_lang(A, B)), k4_cqc_the1(A)) => r2_hidden(k8_cqc_lang(A, B, C), k4_cqc_the1(A))) ) ) ) ) ) ) ).
fof(cc1_projdes1, axiom,  (! [A] :  (l1_collsp(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) &  ~ (v7_anproj_2(A)) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) &  (v5_anproj_2(A) &  ~ (v7_anproj_2(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_projdes1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) &  ( ~ (v7_anproj_2(A))  & l1_collsp(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_collsp(A, B, C, D) =>  (r1_collsp(A, C, D, B) &  (r1_collsp(A, D, B, C) &  (r1_collsp(A, C, B, D) &  (r1_collsp(A, B, D, C) & r1_collsp(A, D, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_projdes1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) &  ( ~ (v7_anproj_2(A))  & l1_collsp(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_collsp(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t3_projdes1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) &  ( ~ (v7_anproj_2(A))  & l1_collsp(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (r1_collsp(A, B, C, E))  &  (r1_collsp(A, B, C, D) &  ( ~ (B=D)  & r1_collsp(A, B, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_projdes1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) &  ( ~ (v7_anproj_2(A))  & l1_collsp(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_collsp(A, B, C, E) & r1_collsp(A, B, D, E))  =>  (r1_collsp(A, B, C, D) | B=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_projdes1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) &  ( ~ (v7_anproj_2(A))  & l1_collsp(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( ( ~ (r1_collsp(A, F, B, D))  &  (r1_collsp(A, F, D, E) &  ( ~ (D=E)  &  (r1_collsp(A, C, E, G) &  (r1_collsp(A, F, B, C) &  ( ~ (F=C)  & G=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_projdes1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) &  ( ~ (v7_anproj_2(A))  & l1_collsp(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_projdes1(A, B, C, D, E) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (r1_collsp(A, B, C, F) & r1_collsp(A, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_projdes1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) &  ( ~ (v7_anproj_2(A))  & l1_collsp(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( ~ ( ( ~ (r1_collsp(A, B, C, D))  &  ( ~ (r1_collsp(A, C, D, E))  &  ( ~ (r1_collsp(A, D, E, B))  &  ~ (r1_collsp(A, E, B, C)) ) ) ) )  => r1_projdes1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_projdes1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) &  ( ~ (v7_anproj_2(A))  & l1_collsp(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_projdes1(A, B, C, D, E) =>  (r1_projdes1(A, C, D, E, B) &  (r1_projdes1(A, D, E, B, C) &  (r1_projdes1(A, E, B, C, D) &  (r1_projdes1(A, C, B, D, E) &  (r1_projdes1(A, D, C, E, B) &  (r1_projdes1(A, E, D, B, C) &  (r1_projdes1(A, B, E, C, D) &  (r1_projdes1(A, B, D, E, C) &  (r1_projdes1(A, C, E, B, D) &  (r1_projdes1(A, D, B, C, E) &  (r1_projdes1(A, E, C, D, B) &  (r1_projdes1(A, D, B, E, C) &  (r1_projdes1(A, E, C, B, D) &  (r1_projdes1(A, B, D, C, E) &  (r1_projdes1(A, C, E, D, B) &  (r1_projdes1(A, B, C, E, D) &  (r1_projdes1(A, B, E, D, C) &  (r1_projdes1(A, C, D, B, E) &  (r1_projdes1(A, C, B, E, D) &  (r1_projdes1(A, D, C, B, E) &  (r1_projdes1(A, D, E, C, B) &  (r1_projdes1(A, E, B, D, C) & r1_projdes1(A, E, D, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_projdes1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) &  ( ~ (v7_anproj_2(A))  & l1_collsp(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ( (r1_projdes1(A, B, C, D, E) &  (r1_projdes1(A, B, C, D, F) &  (r1_projdes1(A, B, C, D, G) & r1_projdes1(A, B, C, D, H)) ) )  =>  (r1_collsp(A, B, C, D) | r1_projdes1(A, E, F, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_projdes1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) &  ( ~ (v7_anproj_2(A))  & l1_collsp(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ( (r1_projdes1(A, B, C, D, E) &  (r1_projdes1(A, B, C, D, G) &  (r1_projdes1(A, B, C, D, F) & r1_projdes1(A, E, F, G, H)) ) )  =>  (r1_collsp(A, E, F, G) | r1_projdes1(A, B, C, D, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_projdes1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) &  ( ~ (v7_anproj_2(A))  & l1_collsp(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ( (r1_collsp(A, E, F, G) &  (r1_projdes1(A, B, C, D, E) & r1_projdes1(A, B, C, D, F)) )  =>  (E=F | r1_projdes1(A, B, C, D, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_projdes1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) &  ( ~ (v7_anproj_2(A))  & l1_collsp(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ~ ( ( ~ (r1_collsp(A, B, C, D))  &  (r1_projdes1(A, B, C, D, E) &  (r1_projdes1(A, B, C, D, F) &  (r1_projdes1(A, B, C, D, G) &  (r1_projdes1(A, B, C, D, H) &  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  ~ ( (r1_collsp(A, E, F, I) & r1_collsp(A, G, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_projdes1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) &  ( ~ (v7_anproj_2(A))  & l1_collsp(A)) ) ) ) ) ) )  =>  ~ ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => r1_projdes1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_projdes1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) &  ( ~ (v7_anproj_2(A))  & l1_collsp(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (r1_collsp(A, B, C, D))  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => r1_projdes1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_projdes1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) &  ( ~ (v7_anproj_2(A))  & l1_collsp(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( ~ ( ( ~ (B=C)  &  ( ~ (B=D)  &  ( ~ (C=D)  &  ( ~ (B=E)  &  ( ~ (C=E)  &  ~ (E=D) ) ) ) ) ) )  => r1_projdes1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_projdes1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) &  ( ~ (v7_anproj_2(A))  & l1_collsp(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( ( ~ (r1_projdes1(A, B, D, E, F))  &  (r1_collsp(A, F, B, C) &  ( ~ (B=C)  & r1_projdes1(A, B, D, E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_projdes1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) &  ( ~ (v7_anproj_2(A))  & l1_collsp(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  ( (r1_projdes1(A, B, D, F, H) &  (r1_projdes1(A, B, D, F, I) &  (r1_projdes1(A, B, D, F, J) &  (r1_projdes1(A, C, E, G, H) &  (r1_projdes1(A, C, E, G, I) & r1_projdes1(A, C, E, G, J)) ) ) ) )  =>  (r1_collsp(A, B, D, F) |  (r1_collsp(A, C, E, G) |  (r1_projdes1(A, B, D, F, C) | r1_collsp(A, H, I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_projdes1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) &  ( ~ (v7_anproj_2(A))  & l1_collsp(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  ( (r1_collsp(A, H, B, C) &  (r1_collsp(A, B, D, I) &  (r1_collsp(A, C, E, I) &  (r1_collsp(A, D, F, J) &  (r1_collsp(A, E, G, J) &  (r1_collsp(A, B, F, K) & r1_collsp(A, C, G, K)) ) ) ) ) )  =>  (B=C |  (r1_projdes1(A, B, D, F, H) |  (r1_collsp(A, C, E, G) | r1_collsp(A, I, J, K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_projdes1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) &  ( ~ (v7_anproj_2(A))  & l1_collsp(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( ( ~ (r1_projdes1(A, B, C, D, E))  &  (r1_projdes1(A, B, C, D, F) &  ( ~ (r1_collsp(A, B, C, F))  & r1_projdes1(A, B, C, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_projdes1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) &  ( ~ (v7_anproj_2(A))  & l1_collsp(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ( (r1_collsp(A, H, B, C) &  (r1_collsp(A, H, D, E) & r1_collsp(A, H, F, G)) )  =>  (r1_projdes1(A, B, D, F, H) |  (H=C |  (H=E |  (H=G |  ( ~ (r1_collsp(A, C, E, G))  &  ~ (r1_projdes1(A, C, E, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_projdes1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) &  ( ~ (v7_anproj_2(A))  & l1_collsp(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  (! [L] :  (m1_subset_1(L, u1_struct_0(A)) =>  ~ ( (r1_projdes1(A, B, D, F, I) &  ( ~ (r1_projdes1(A, B, D, F, G))  &  ( ~ (r1_projdes1(A, B, D, G, I))  &  (r1_collsp(A, I, G, H) &  (r1_collsp(A, I, B, C) &  (r1_collsp(A, I, D, E) &  (r1_collsp(A, B, G, J) &  (r1_collsp(A, C, H, J) &  (r1_collsp(A, D, G, K) &  (r1_collsp(A, E, H, K) &  (r1_collsp(A, F, G, L) &  ( ~ (I=C)  &  ( ~ (G=H)  &  ( ~ (I=E)  & r1_collsp(A, J, K, L)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_projdes1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) &  ( ~ (v7_anproj_2(A))  & l1_collsp(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_projdes1(A, B, C, D, E) <=>  ( ~ (r1_collsp(A, C, D, E))  &  ( ~ (r1_collsp(A, B, C, D))  &  ( ~ (r1_collsp(A, B, D, E))  &  ~ (r1_collsp(A, B, E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_projdes1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) &  ( ~ (v7_anproj_2(A))  & l1_collsp(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(A)) =>  (! [K] :  (m1_subset_1(K, u1_struct_0(A)) =>  ( (r1_collsp(A, H, B, C) &  (r1_collsp(A, H, D, E) &  (r1_collsp(A, H, F, G) &  (r1_collsp(A, B, D, I) &  (r1_collsp(A, C, E, I) &  (r1_collsp(A, D, F, K) &  (r1_collsp(A, E, G, K) &  (r1_collsp(A, B, F, J) & r1_collsp(A, C, G, J)) ) ) ) ) ) ) )  =>  (r1_collsp(A, H, B, D) |  (r1_collsp(A, H, D, F) |  (r1_collsp(A, H, B, F) |  (B=C |  (D=E |  (H=C |  (H=E |  (H=G | r1_collsp(A, K, J, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_projdes1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_collsp(A) &  (v3_collsp(A) &  (v4_collsp(A) &  (v2_anproj_2(A) &  (v3_anproj_2(A) &  ( ~ (v7_anproj_2(A))  & l1_collsp(A)) ) ) ) ) ) )  => v5_anproj_2(A)) ) ).
fof(d1_projpl_1, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  (r1_projpl_1(A, B, C, D) <=>  ( ~ (r1_incsp_1(A, B, D))  &  ~ (r1_incsp_1(A, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_projpl_1, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  (r2_projpl_1(A, B, C, D) <=>  (r1_incsp_1(A, B, C) & r1_incsp_1(A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(d3_projpl_1, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(A)) =>  (r3_projpl_1(A, B, C, D, E) <=>  (r1_incsp_1(A, B, C) &  (r1_incsp_1(A, B, D) & r1_incsp_1(A, B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_projpl_1, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(A)) =>  (! [F] :  (m1_subset_1(F, u2_incsp_1(A)) =>  (! [G] :  (m1_subset_1(G, u2_incsp_1(A)) =>  ( (r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), B, C), E) => r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), C, B), E))  &  ( (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), B, C, D), E) =>  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), B, D, C), E) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), C, B, D), E) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), C, D, B), E) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), D, B, C), E) & r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), D, C, B), E)) ) ) ) )  &  ( (r2_projpl_1(A, B, E, F) => r2_projpl_1(A, B, F, E))  &  (r3_projpl_1(A, B, E, F, G) =>  (r3_projpl_1(A, B, E, G, F) &  (r3_projpl_1(A, B, F, E, G) &  (r3_projpl_1(A, B, F, G, E) &  (r3_projpl_1(A, B, G, E, F) & r3_projpl_1(A, B, G, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_projpl_1, axiom,  (! [A] :  (l1_incsp_1(A) =>  (v1_projpl_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(A)) =>  ~ ( (r1_incsp_1(A, B, D) &  (r1_incsp_1(A, C, D) &  (r1_incsp_1(A, B, E) &  (r1_incsp_1(A, C, E) &  ( ~ (B=C)  &  ~ (D=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_projpl_1, axiom,  (! [A] :  (l1_incsp_1(A) =>  (v1_projpl_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(A)) =>  ~ ( (r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), B, C), D) &  (r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), B, C), E) &  ( ~ (B=C)  &  ~ (D=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_projpl_1, axiom,  (! [A] :  (l1_incsp_1(A) =>  (v1_projpl_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(A)) =>  ~ ( (r2_projpl_1(A, B, D, E) &  (r2_projpl_1(A, C, D, E) &  ( ~ (B=C)  &  ~ (D=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_projpl_1, axiom,  (! [A] :  (l1_incsp_1(A) =>  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) & l1_incsp_1(A)) ) ) ) )  <=>  (v1_projpl_1(A) &  ( (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (? [D] :  (m1_subset_1(D, u2_incsp_1(A)) & r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), B, C), D)) ) ) ) ) )  &  ( ~ ( (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) => r1_incsp_1(A, B, C)) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u2_incsp_1(A)) =>  (? [C] :  (m1_subset_1(C, u1_incsp_1(A)) &  (? [D] :  (m1_subset_1(D, u1_incsp_1(A)) &  (? [E] :  (m1_subset_1(E, u1_incsp_1(A)) &  (r1_zfmisc_1(C, D, E) & r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), C, D, E), B)) ) ) ) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) =>  (! [F] :  (m1_subset_1(F, u1_incsp_1(A)) =>  (! [G] :  (m1_subset_1(G, u2_incsp_1(A)) =>  (! [H] :  (m1_subset_1(H, u2_incsp_1(A)) =>  (! [I] :  (m1_subset_1(I, u2_incsp_1(A)) =>  (! [J] :  (m1_subset_1(J, u2_incsp_1(A)) =>  ~ ( (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), B, C, F), G) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), D, E, F), H) &  (r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), B, D), I) &  (r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), C, E), J) &  ( ~ (r1_incsp_1(A, F, I))  &  ( ~ (r1_incsp_1(A, F, J))  &  ( ~ (G=H)  &  (! [K] :  (m1_subset_1(K, u1_incsp_1(A)) =>  ~ (r2_projpl_1(A, K, I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_projpl_1, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (r4_projpl_1(A, B, C, D) <=>  (? [E] :  (m1_subset_1(E, u2_incsp_1(A)) & r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), B, C, D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_projpl_1, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (r4_projpl_1(A, B, C, D) <=>  (? [E] :  (m1_subset_1(E, u2_incsp_1(A)) &  (r1_incsp_1(A, B, E) &  (r1_incsp_1(A, C, E) & r1_incsp_1(A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_projpl_1, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  ( ~ (r4_projpl_1(A, B, C, D))  <=>  (! [E] :  (m1_subset_1(E, u2_incsp_1(A)) =>  ~ ( (r1_incsp_1(A, B, E) &  (r1_incsp_1(A, C, E) & r1_incsp_1(A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_projpl_1, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) =>  (r5_projpl_1(A, B, C, D, E) <=>  ( ~ (r4_projpl_1(A, B, C, D))  &  ( ~ (r4_projpl_1(A, C, D, E))  &  ( ~ (r4_projpl_1(A, D, E, B))  &  ~ (r4_projpl_1(A, E, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_projpl_1, axiom,  (! [A] :  (l1_incsp_1(A) =>  ~ ( ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) & l1_incsp_1(A)) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u2_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) => B=C) ) ) ) ) ) ) ) ).
fof(t8_projpl_1, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  ~ ( ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) & l1_incsp_1(A)) ) ) ) )  &  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) =>  ~ ( (r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), D, E), C) & r1_zfmisc_1(B, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_projpl_1, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  ~ ( ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) & l1_incsp_1(A)) ) ) ) )  &  ( ~ (C=D)  &  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) =>  ~ ( (r1_incsp_1(A, E, C) &  ( ~ (r1_incsp_1(A, E, D))  &  ~ (B=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_projpl_1, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(A)) =>  ~ ( (v1_projpl_1(A) &  (r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), B, C), E) &  ( ~ (B=C)  &  ( ~ (r1_incsp_1(A, D, E))  & r4_projpl_1(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_projpl_1, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (r4_projpl_1(A, B, C, D) =>  (r4_projpl_1(A, B, D, C) &  (r4_projpl_1(A, C, B, D) &  (r4_projpl_1(A, C, D, B) &  (r4_projpl_1(A, D, B, C) & r4_projpl_1(A, D, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_projpl_1, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  ( ~ (r4_projpl_1(A, B, C, D))  =>  ( ~ (r4_projpl_1(A, B, D, C))  &  ( ~ (r4_projpl_1(A, C, B, D))  &  ( ~ (r4_projpl_1(A, C, D, B))  &  ( ~ (r4_projpl_1(A, D, B, C))  &  ~ (r4_projpl_1(A, D, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_projpl_1, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) =>  (r5_projpl_1(A, B, C, D, E) =>  (r5_projpl_1(A, B, D, C, E) &  (r5_projpl_1(A, C, B, D, E) &  (r5_projpl_1(A, C, D, B, E) &  (r5_projpl_1(A, D, B, C, E) &  (r5_projpl_1(A, D, C, B, E) &  (r5_projpl_1(A, B, C, E, D) &  (r5_projpl_1(A, B, D, E, C) &  (r5_projpl_1(A, C, B, E, D) &  (r5_projpl_1(A, C, D, E, B) &  (r5_projpl_1(A, D, B, E, C) &  (r5_projpl_1(A, D, C, E, B) &  (r5_projpl_1(A, B, E, C, D) &  (r5_projpl_1(A, B, E, D, C) &  (r5_projpl_1(A, C, E, B, D) &  (r5_projpl_1(A, C, E, D, B) &  (r5_projpl_1(A, D, E, B, C) &  (r5_projpl_1(A, D, E, C, B) &  (r5_projpl_1(A, E, B, C, D) &  (r5_projpl_1(A, E, B, D, C) &  (r5_projpl_1(A, E, C, B, D) &  (r5_projpl_1(A, E, C, D, B) &  (r5_projpl_1(A, E, D, B, C) & r5_projpl_1(A, E, D, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_projpl_1, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) =>  (! [F] :  (m1_subset_1(F, u2_incsp_1(A)) =>  (! [G] :  (m1_subset_1(G, u2_incsp_1(A)) =>  ( (v1_projpl_1(A) &  (r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), B, C), F) &  (r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), D, E), G) &  (r1_projpl_1(A, B, C, G) & r1_projpl_1(A, D, E, F)) ) ) )  =>  (B=C |  (D=E | r5_projpl_1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_projpl_1, axiom,  (! [A] :  (l1_incsp_1(A) =>  ~ ( ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) & l1_incsp_1(A)) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) =>  ~ (r5_projpl_1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_projpl_1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) & l1_incsp_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_zfmisc_1(u1_incsp_1(A), u1_incsp_1(A), u1_incsp_1(A), u1_incsp_1(A))) =>  (m1_projpl_1(B, A) <=> r5_projpl_1(A, k4_mcart_1(u1_incsp_1(A), u1_incsp_1(A), u1_incsp_1(A), u1_incsp_1(A), B), k5_mcart_1(u1_incsp_1(A), u1_incsp_1(A), u1_incsp_1(A), u1_incsp_1(A), B), k6_mcart_1(u1_incsp_1(A), u1_incsp_1(A), u1_incsp_1(A), u1_incsp_1(A), B), k7_mcart_1(u1_incsp_1(A), u1_incsp_1(A), u1_incsp_1(A), u1_incsp_1(A), B))) ) ) ) ) ).
fof(d8_projpl_1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) & l1_incsp_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  ( ~ (B=C)  =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  (D=k1_projpl_1(A, B, C) <=> r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), B, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(t16_projpl_1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) & l1_incsp_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  ( ~ (B=C)  =>  (r1_incsp_1(A, B, k1_projpl_1(A, B, C)) &  (r1_incsp_1(A, C, k1_projpl_1(A, B, C)) &  (k1_projpl_1(A, B, C)=k1_projpl_1(A, C, B) &  ( (r1_incsp_1(A, B, D) & r1_incsp_1(A, C, D))  => D=k1_projpl_1(A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_projpl_1, axiom,  (! [A] :  (l1_incsp_1(A) =>  ~ ( ( ~ ( (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) => r4_projpl_1(A, B, C, D)) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (? [D] :  (m1_subset_1(D, u2_incsp_1(A)) & r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), B, C), D)) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) => r1_incsp_1(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t18_projpl_1, axiom,  (! [A] :  (l1_incsp_1(A) =>  ~ ( ( (? [B] :  (m1_subset_1(B, u1_incsp_1(A)) &  (? [C] :  (m1_subset_1(C, u1_incsp_1(A)) &  (? [D] :  (m1_subset_1(D, u1_incsp_1(A)) &  (? [E] :  (m1_subset_1(E, u1_incsp_1(A)) & r5_projpl_1(A, B, C, D, E)) ) ) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) => r4_projpl_1(A, B, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t19_projpl_1, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(A)) =>  (! [F] :  (m1_subset_1(F, u2_incsp_1(A)) =>  ~ ( ( ~ (r4_projpl_1(A, B, C, D))  &  (r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), B, C), E) &  (r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), B, D), F) & E=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_projpl_1, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) =>  (! [F] :  (m1_subset_1(F, u2_incsp_1(A)) =>  (! [G] :  (m1_subset_1(G, u2_incsp_1(A)) =>  (! [H] :  (m1_subset_1(H, u2_incsp_1(A)) =>  ( (r5_projpl_1(A, B, C, D, E) &  (r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), B, C), F) &  (r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), B, D), G) & r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), B, E), H)) ) )  => r1_zfmisc_1(F, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_projpl_1, axiom,  (! [A] :  (l1_incsp_1(A) =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) =>  (! [F] :  (m1_subset_1(F, u2_incsp_1(A)) =>  (! [G] :  (m1_subset_1(G, u2_incsp_1(A)) =>  (! [H] :  (m1_subset_1(H, u2_incsp_1(A)) =>  (! [I] :  (m1_subset_1(I, u2_incsp_1(A)) =>  ( (v1_projpl_1(A) &  (r3_projpl_1(A, B, G, H, I) &  (r1_zfmisc_1(G, H, I) &  (r2_projpl_1(A, C, F, G) &  (r2_projpl_1(A, D, F, H) & r2_projpl_1(A, E, F, I)) ) ) ) )  =>  (r1_incsp_1(A, B, F) | r1_zfmisc_1(C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_projpl_1, axiom,  (! [A] :  (l1_incsp_1(A) =>  ( (v1_projpl_1(A) &  ( (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (? [D] :  (m1_subset_1(D, u2_incsp_1(A)) & r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), B, C), D)) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u2_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  (? [D] :  (m1_subset_1(D, u1_incsp_1(A)) & r2_projpl_1(A, D, B, C)) ) ) ) ) ) ) )  =>  ( (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) =>  ~ (r5_projpl_1(A, B, C, D, E)) ) ) ) ) ) ) ) )  |  (! [B] :  (m1_subset_1(B, u2_incsp_1(A)) =>  (? [C] :  (m1_subset_1(C, u1_incsp_1(A)) &  (? [D] :  (m1_subset_1(D, u1_incsp_1(A)) &  (? [E] :  (m1_subset_1(E, u1_incsp_1(A)) &  (r1_zfmisc_1(C, D, E) & r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), C, D, E), B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_projpl_1, axiom,  (! [A] :  (l1_incsp_1(A) =>  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) & l1_incsp_1(A)) ) ) ) ) )  <=>  (v1_projpl_1(A) &  ( (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (? [D] :  (m1_subset_1(D, u2_incsp_1(A)) & r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), B, C), D)) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u2_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  (? [D] :  (m1_subset_1(D, u1_incsp_1(A)) & r2_projpl_1(A, D, B, C)) ) ) ) ) )  &  (? [B] :  (m1_subset_1(B, u1_incsp_1(A)) &  (? [C] :  (m1_subset_1(C, u1_incsp_1(A)) &  (? [D] :  (m1_subset_1(D, u1_incsp_1(A)) &  (? [E] :  (m1_subset_1(E, u1_incsp_1(A)) & r5_projpl_1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_projpl_1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) & l1_incsp_1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  ( ~ (B=C)  =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (D=k2_projpl_1(A, B, C) <=> r2_projpl_1(A, D, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t24_projpl_1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) & l1_incsp_1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  ( ~ (C=D)  =>  (r1_incsp_1(A, k2_projpl_1(A, C, D), C) &  (r1_incsp_1(A, k2_projpl_1(A, C, D), D) &  (k2_projpl_1(A, C, D)=k2_projpl_1(A, D, C) &  ( (r1_incsp_1(A, B, C) & r1_incsp_1(A, B, D))  => B=k2_projpl_1(A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_projpl_1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) & l1_incsp_1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(A)) =>  (r1_incsp_1(A, B, D) =>  (D=E |  (r1_incsp_1(A, C, D) |  (B=k2_projpl_1(A, D, E) |  (r1_incsp_1(A, k2_projpl_1(A, k1_projpl_1(A, C, B), E), E) &  ~ (r1_incsp_1(A, k2_projpl_1(A, k1_projpl_1(A, C, B), E), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_projpl_1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) & l1_incsp_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  ( ~ (r4_projpl_1(A, B, C, D))  => r1_zfmisc_1(B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t27_projpl_1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) & l1_incsp_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) =>  (r5_projpl_1(A, B, C, D, E) => r2_zfmisc_1(B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_projpl_1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) & l1_incsp_1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) =>  ~ ( (k1_projpl_1(A, B, D)=k1_projpl_1(A, C, E) &  ( ~ (B=D)  &  ( ~ (C=E)  &  ( ~ (D=E)  &  ~ (k1_projpl_1(A, B, D)=k1_projpl_1(A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_projpl_1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) & l1_incsp_1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) =>  ~ ( (k1_projpl_1(A, B, D)=k1_projpl_1(A, C, E) &  ( ~ (B=D)  &  ( ~ (C=E)  &  ( ~ (D=E)  &  ~ (r1_incsp_1(A, B, k1_projpl_1(A, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_projpl_1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) & l1_incsp_1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(A)) =>  ( (r1_incsp_1(A, C, E) & r1_incsp_1(A, D, E))  =>  (C=D |  (r1_incsp_1(A, B, E) |  ( ~ (k1_projpl_1(A, C, B)=k1_projpl_1(A, D, B))  &  ~ (k1_projpl_1(A, B, C)=k1_projpl_1(A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_projpl_1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) & l1_incsp_1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(A)) =>  ( (r1_incsp_1(A, B, D) & r1_incsp_1(A, B, E))  =>  (D=E |  (r1_incsp_1(A, B, C) |  ( ~ (k2_projpl_1(A, C, D)=k2_projpl_1(A, C, E))  &  ~ (k2_projpl_1(A, D, C)=k2_projpl_1(A, E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_projpl_1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) & l1_incsp_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) =>  ( (r1_incsp_1(A, D, k1_projpl_1(A, B, C)) & r1_incsp_1(A, D, k1_projpl_1(A, B, E)))  =>  (D=B |  (E=B |  (B=C | r1_incsp_1(A, E, k1_projpl_1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_projpl_1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) & l1_incsp_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (r1_incsp_1(A, D, k1_projpl_1(A, B, C)) =>  (B=D | r1_incsp_1(A, C, k1_projpl_1(A, B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t34_projpl_1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) & l1_incsp_1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) =>  (! [F] :  (m1_subset_1(F, u2_incsp_1(A)) =>  ~ ( ( ~ (D=E)  &  (r1_incsp_1(A, D, F) &  (r1_incsp_1(A, E, F) &  ( ~ (r1_incsp_1(A, B, F))  &  ( ~ (r1_incsp_1(A, C, F))  & k1_projpl_1(A, B, D)=k1_projpl_1(A, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_projpl_1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) & l1_incsp_1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  ~ ( (r1_incsp_1(A, B, k1_projpl_1(A, C, D)) &  ( ~ (B=D)  &  ( ~ (C=D)  &  ~ (r1_incsp_1(A, C, k1_projpl_1(A, D, B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_projpl_1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) & l1_incsp_1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  ~ ( (r1_incsp_1(A, B, k1_projpl_1(A, C, D)) &  ( ~ (C=B)  &  ( ~ (C=D)  &  ~ (r1_incsp_1(A, D, k1_projpl_1(A, C, B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_projpl_1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) & l1_incsp_1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) =>  (! [F] :  (m1_subset_1(F, u1_incsp_1(A)) =>  (! [G] :  (m1_subset_1(G, u2_incsp_1(A)) =>  (! [H] :  (m1_subset_1(H, u2_incsp_1(A)) =>  ~ ( (r1_incsp_1(A, C, H) &  (r1_incsp_1(A, D, H) &  ( ~ (r1_incsp_1(A, B, H))  &  ( ~ (C=D)  &  ( ~ (E=B)  &  ( ~ (F=B)  &  (r1_incsp_1(A, E, k1_projpl_1(A, B, C)) &  (r1_incsp_1(A, F, k1_projpl_1(A, B, D)) &  (! [I] :  (m1_subset_1(I, u1_incsp_1(A)) =>  ~ ( (r1_incsp_1(A, I, k1_projpl_1(A, E, F)) &  (r1_incsp_1(A, I, G) &  ~ (I=B) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_m1_projpl_1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) & l1_incsp_1(A)) ) ) ) )  =>  (! [B] :  (m1_projpl_1(B, A) => m1_subset_1(B, k4_zfmisc_1(u1_incsp_1(A), u1_incsp_1(A), u1_incsp_1(A), u1_incsp_1(A)))) ) ) ) ).
fof(existence_m1_projpl_1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) & l1_incsp_1(A)) ) ) ) )  =>  (? [B] : m1_projpl_1(B, A)) ) ) ).
fof(dt_k1_projpl_1, axiom,  (! [A, B, C] :  ( ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) & l1_incsp_1(A)) ) ) ) )  &  (m1_subset_1(B, u1_incsp_1(A)) & m1_subset_1(C, u1_incsp_1(A))) )  => m1_subset_1(k1_projpl_1(A, B, C), u2_incsp_1(A))) ) ).
fof(dt_k2_projpl_1, axiom,  (! [A, B, C] :  ( ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) & l1_incsp_1(A)) ) ) ) ) )  &  (m1_subset_1(B, u2_incsp_1(A)) & m1_subset_1(C, u2_incsp_1(A))) )  => m1_subset_1(k2_projpl_1(A, B, C), u1_incsp_1(A))) ) ).
fof(t1_projred1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) & l1_incsp_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(A)) =>  ~ ( (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) => r1_incsp_1(A, C, B)) ) ) ) ) ) ) ).
fof(t2_projred1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) & l1_incsp_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  ~ ( (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) => r1_incsp_1(A, B, C)) ) ) ) ) ) ) ).
fof(t3_projred1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) & l1_incsp_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  ~ ( ( ~ (B=C)  &  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) =>  ~ ( (r1_incsp_1(A, D, B) &  ( ~ (r1_incsp_1(A, D, C))  &  (r1_incsp_1(A, E, C) &  ~ (r1_incsp_1(A, E, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_projred1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) & l1_incsp_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  ~ ( ( ~ (B=C)  &  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(A)) =>  ~ ( (r1_incsp_1(A, B, D) &  ( ~ (r1_incsp_1(A, B, E))  &  (r1_incsp_1(A, C, E) &  ~ (r1_incsp_1(A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_projred1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) & l1_incsp_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (? [C] :  (m1_subset_1(C, u2_incsp_1(A)) &  (? [D] :  (m1_subset_1(D, u2_incsp_1(A)) &  (? [E] :  (m1_subset_1(E, u2_incsp_1(A)) &  (r1_incsp_1(A, B, C) &  (r1_incsp_1(A, B, D) &  (r1_incsp_1(A, B, E) &  ( ~ (C=D)  &  ( ~ (D=E)  &  ~ (E=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_projred1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) & l1_incsp_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  (? [D] :  (m1_subset_1(D, u1_incsp_1(A)) &  ( ~ (r1_incsp_1(A, D, B))  &  ~ (r1_incsp_1(A, D, C)) ) ) ) ) ) ) ) ) ) ).
fof(t7_projred1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) & l1_incsp_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(A)) =>  (? [C] :  (m1_subset_1(C, u1_incsp_1(A)) & r1_incsp_1(A, C, B)) ) ) ) ) ) ).
fof(t8_projred1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) & l1_incsp_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  (? [E] :  (m1_subset_1(E, u1_incsp_1(A)) &  (r1_incsp_1(A, E, D) &  ( ~ (E=B)  &  ~ (E=C) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_projred1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) & l1_incsp_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (? [D] :  (m1_subset_1(D, u2_incsp_1(A)) &  ( ~ (r1_incsp_1(A, B, D))  &  ~ (r1_incsp_1(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t10_projred1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) & l1_incsp_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) =>  (! [F] :  (m1_subset_1(F, u2_incsp_1(A)) =>  (! [G] :  (m1_subset_1(G, u2_incsp_1(A)) =>  (! [H] :  (m1_subset_1(H, u2_incsp_1(A)) =>  (! [I] :  (m1_subset_1(I, u2_incsp_1(A)) =>  ~ ( (r1_incsp_1(A, E, F) &  (r1_incsp_1(A, E, G) &  ( ~ (F=G)  &  (r1_incsp_1(A, B, F) &  ( ~ (E=B)  &  (r1_incsp_1(A, C, G) &  (r1_incsp_1(A, D, G) &  ( ~ (C=D)  &  (r1_incsp_1(A, B, H) &  (r1_incsp_1(A, C, H) &  (r1_incsp_1(A, D, I) & H=I) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_projred1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) & l1_incsp_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(A)) =>  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), B, C, D), E) =>  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), B, D, C), E) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), C, B, D), E) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), C, D, B), E) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), D, B, C), E) & r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), D, C, B), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_projred1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v9_incproj(A) & l1_incsp_1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) =>  (! [F] :  (m1_subset_1(F, u1_incsp_1(A)) =>  (! [G] :  (m1_subset_1(G, u1_incsp_1(A)) =>  (! [H] :  (m1_subset_1(H, u1_incsp_1(A)) =>  (! [I] :  (m1_subset_1(I, u1_incsp_1(A)) =>  (! [J] :  (m1_subset_1(J, u1_incsp_1(A)) =>  (! [K] :  (m1_subset_1(K, u1_incsp_1(A)) =>  (! [L] :  (m1_subset_1(L, u2_incsp_1(A)) =>  (! [M] :  (m1_subset_1(M, u2_incsp_1(A)) =>  (! [N] :  (m1_subset_1(N, u2_incsp_1(A)) =>  (! [O] :  (m1_subset_1(O, u2_incsp_1(A)) =>  (! [P] :  (m1_subset_1(P, u2_incsp_1(A)) =>  (! [Q] :  (m1_subset_1(Q, u2_incsp_1(A)) =>  (! [R] :  (m1_subset_1(R, u2_incsp_1(A)) =>  (! [S] :  (m1_subset_1(S, u2_incsp_1(A)) =>  (! [T] :  (m1_subset_1(T, u2_incsp_1(A)) =>  ~ ( (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), B, C, D), L) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), B, F, E), M) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), B, H, G), N) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), H, F, K), O) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), H, I, D), P) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), F, J, D), Q) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), K, E, G), R) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), C, I, G), S) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), C, J, E), T) &  (r1_zfmisc_1(L, M, N) &  ( ~ (B=H)  &  ( ~ (B=C)  &  ( ~ (B=E)  &  ( ~ (F=E)  &  (! [U] :  (m1_subset_1(U, u2_incsp_1(A)) =>  ~ (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), I, J, K), U)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_projred1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) & l1_incsp_1(A)) ) ) ) )  =>  ( (? [B] :  (m1_subset_1(B, u2_incsp_1(A)) &  (? [C] :  (m1_subset_1(C, u1_incsp_1(A)) &  (? [D] :  (m1_subset_1(D, u1_incsp_1(A)) &  (? [E] :  (m1_subset_1(E, u1_incsp_1(A)) &  (? [F] :  (m1_subset_1(F, u1_incsp_1(A)) &  (r1_incsp_1(A, C, B) &  (r1_incsp_1(A, D, B) &  (r1_incsp_1(A, E, B) &  (r1_incsp_1(A, F, B) & r2_zfmisc_1(C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(A)) =>  (? [C] :  (m1_subset_1(C, u1_incsp_1(A)) &  (? [D] :  (m1_subset_1(D, u1_incsp_1(A)) &  (? [E] :  (m1_subset_1(E, u1_incsp_1(A)) &  (? [F] :  (m1_subset_1(F, u1_incsp_1(A)) &  (r1_incsp_1(A, C, B) &  (r1_incsp_1(A, D, B) &  (r1_incsp_1(A, E, B) &  (r1_incsp_1(A, F, B) & r2_zfmisc_1(C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_projred1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v8_incproj(A) & l1_incsp_1(A)) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, u1_incsp_1(A)) &  (? [C] :  (m1_subset_1(C, u1_incsp_1(A)) &  (? [D] :  (m1_subset_1(D, u1_incsp_1(A)) &  (? [E] :  (m1_subset_1(E, u1_incsp_1(A)) &  (? [F] :  (m1_subset_1(F, u1_incsp_1(A)) &  (? [G] :  (m1_subset_1(G, u1_incsp_1(A)) &  (? [H] :  (m1_subset_1(H, u1_incsp_1(A)) &  (? [I] :  (m1_subset_1(I, u2_incsp_1(A)) &  (? [J] :  (m1_subset_1(J, u2_incsp_1(A)) &  (? [K] :  (m1_subset_1(K, u2_incsp_1(A)) &  (? [L] :  (m1_subset_1(L, u2_incsp_1(A)) &  (? [M] :  (m1_subset_1(M, u2_incsp_1(A)) &  (? [N] :  (m1_subset_1(N, u2_incsp_1(A)) &  (? [O] :  (m1_subset_1(O, u2_incsp_1(A)) &  (? [P] :  (m1_subset_1(P, u2_incsp_1(A)) &  ( ~ (r1_incsp_1(A, C, M))  &  ( ~ (r1_incsp_1(A, D, M))  &  ( ~ (r1_incsp_1(A, B, L))  &  ( ~ (r1_incsp_1(A, E, L))  &  ( ~ (r1_incsp_1(A, B, N))  &  ( ~ (r1_incsp_1(A, D, N))  &  ( ~ (r1_incsp_1(A, C, O))  &  ( ~ (r1_incsp_1(A, E, O))  &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), F, B, E), M) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), F, C, D), L) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), G, C, E), N) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), G, B, D), O) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), H, B, C), I) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), H, D, E), J) &  (r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), F, G), K) &  ~ (r1_incsp_1(A, H, K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_projred1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v8_incproj(A) & l1_incsp_1(A)) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, u1_incsp_1(A)) &  (? [C] :  (m1_subset_1(C, u2_incsp_1(A)) &  (? [D] :  (m1_subset_1(D, u2_incsp_1(A)) &  (? [E] :  (m1_subset_1(E, u2_incsp_1(A)) &  (? [F] :  (m1_subset_1(F, u2_incsp_1(A)) &  (r1_incsp_1(A, B, C) &  (r1_incsp_1(A, B, D) &  (r1_incsp_1(A, B, E) &  (r1_incsp_1(A, B, F) & r2_zfmisc_1(C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_projred1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v8_incproj(A) & l1_incsp_1(A)) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, u1_incsp_1(A)) &  (? [C] :  (m1_subset_1(C, u1_incsp_1(A)) &  (? [D] :  (m1_subset_1(D, u1_incsp_1(A)) &  (? [E] :  (m1_subset_1(E, u1_incsp_1(A)) &  (? [F] :  (m1_subset_1(F, u2_incsp_1(A)) &  (r1_incsp_1(A, B, F) &  (r1_incsp_1(A, C, F) &  (r1_incsp_1(A, D, F) &  (r1_incsp_1(A, E, F) & r2_zfmisc_1(B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_projred1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v8_incproj(A) & l1_incsp_1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(A)) =>  (? [C] :  (m1_subset_1(C, u1_incsp_1(A)) &  (? [D] :  (m1_subset_1(D, u1_incsp_1(A)) &  (? [E] :  (m1_subset_1(E, u1_incsp_1(A)) &  (? [F] :  (m1_subset_1(F, u1_incsp_1(A)) &  (r1_incsp_1(A, C, B) &  (r1_incsp_1(A, D, B) &  (r1_incsp_1(A, E, B) &  (r1_incsp_1(A, F, B) & r2_zfmisc_1(C, D, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_projred1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) &  (v9_incproj(A) & l1_incsp_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  ~ ( ( ~ (r1_incsp_1(A, D, B))  &  ( ~ (r1_incsp_1(A, D, C))  &  ~ ( (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_incsp_1(A), u1_incsp_1(A)))))  =>  (E=k1_projred1(A, B, C, D) <=>  (r1_tarski(k1_relset_1(u1_incsp_1(A), E), u1_incsp_1(A)) &  ( (! [F] :  (m1_subset_1(F, u1_incsp_1(A)) =>  (r2_tarski(F, k1_relset_1(u1_incsp_1(A), E)) <=> r1_incsp_1(A, F, B)) ) )  &  (! [F] :  (m1_subset_1(F, u1_incsp_1(A)) =>  (! [G] :  (m1_subset_1(G, u1_incsp_1(A)) =>  ( (r1_incsp_1(A, F, B) & r1_incsp_1(A, G, C))  =>  (k1_funct_1(E, F)=G <=>  (? [H] :  (m1_subset_1(H, u2_incsp_1(A)) &  (r1_incsp_1(A, D, H) &  (r1_incsp_1(A, F, H) & r1_incsp_1(A, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_projred1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) &  (v9_incproj(A) & l1_incsp_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  ( ~ (r1_incsp_1(A, B, C))  =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (r1_incsp_1(A, D, C) => k1_funct_1(k1_projred1(A, C, C, B), D)=D) ) ) ) ) ) ) ) ) ) ).
fof(t19_projred1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) &  (v9_incproj(A) & l1_incsp_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(A)) =>  (r1_incsp_1(A, C, D) =>  (r1_incsp_1(A, B, D) |  (r1_incsp_1(A, B, E) | m1_subset_1(k1_funct_1(k1_projred1(A, D, E, B), C), u1_incsp_1(A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_projred1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) &  (v9_incproj(A) & l1_incsp_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(A)) =>  (! [F] :  (m1_subset_1(F, u2_incsp_1(A)) =>  ( (r1_incsp_1(A, C, E) & D=k1_funct_1(k1_projred1(A, E, F, B), C))  =>  (r1_incsp_1(A, B, E) |  (r1_incsp_1(A, B, F) | r1_incsp_1(A, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_projred1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) &  (v9_incproj(A) & l1_incsp_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(A)) =>  (r2_tarski(C, k10_xtuple_0(k1_projred1(A, D, E, B))) =>  (r1_incsp_1(A, B, D) |  (r1_incsp_1(A, B, E) | r1_incsp_1(A, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_projred1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) &  (v9_incproj(A) & l1_incsp_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(A)) =>  (! [F] :  (m1_subset_1(F, u2_incsp_1(A)) =>  ~ ( ( ~ (r1_incsp_1(A, B, D))  &  ( ~ (r1_incsp_1(A, B, E))  &  ( ~ (r1_incsp_1(A, C, E))  &  ( ~ (r1_incsp_1(A, C, F))  &  ~ ( (k9_xtuple_0(k3_relat_1(k1_projred1(A, D, E, B), k1_projred1(A, E, F, C)))=k1_relset_1(u1_incsp_1(A), k1_projred1(A, D, E, B)) & k10_xtuple_0(k3_relat_1(k1_projred1(A, D, E, B), k1_projred1(A, E, F, C)))=k10_xtuple_0(k1_projred1(A, E, F, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_projred1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) &  (v9_incproj(A) & l1_incsp_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) =>  (! [F] :  (m1_subset_1(F, u1_incsp_1(A)) =>  (! [G] :  (m1_subset_1(G, u1_incsp_1(A)) =>  (! [H] :  (m1_subset_1(H, u1_incsp_1(A)) =>  ( (r1_incsp_1(A, E, C) &  (r1_incsp_1(A, F, C) &  (k1_funct_1(k1_projred1(A, C, D, B), E)=G &  (k1_funct_1(k1_projred1(A, C, D, B), F)=H & G=H) ) ) )  =>  (r1_incsp_1(A, B, C) |  (r1_incsp_1(A, B, D) | E=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_projred1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) &  (v9_incproj(A) & l1_incsp_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(A)) =>  ( (r1_incsp_1(A, C, D) & r1_incsp_1(A, C, E))  =>  (r1_incsp_1(A, B, D) |  (r1_incsp_1(A, B, E) | k1_funct_1(k1_projred1(A, D, E, B), C)=C) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_projred1, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) &  (v9_incproj(A) & l1_incsp_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(A)) =>  (! [F] :  (m1_subset_1(F, u2_incsp_1(A)) =>  (! [G] :  (m1_subset_1(G, u2_incsp_1(A)) =>  ~ ( ( ~ (r1_incsp_1(A, C, E))  &  ( ~ (r1_incsp_1(A, C, F))  &  ( ~ (r1_incsp_1(A, D, F))  &  ( ~ (r1_incsp_1(A, D, G))  &  (r1_incsp_1(A, B, E) &  (r1_incsp_1(A, B, F) &  (r1_incsp_1(A, B, G) &  ( ~ (E=G)  &  (! [H] :  (m1_subset_1(H, u1_incsp_1(A)) =>  ~ ( ( ~ (r1_incsp_1(A, H, E))  &  ( ~ (r1_incsp_1(A, H, G))  & k3_relat_1(k1_projred1(A, E, F, C), k1_projred1(A, F, G, D))=k1_projred1(A, E, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_projred1, axiom,  (! [A, B, C, D] :  ( ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) &  (v9_incproj(A) & l1_incsp_1(A)) ) ) ) ) ) )  &  (m1_subset_1(B, u2_incsp_1(A)) &  (m1_subset_1(C, u2_incsp_1(A)) & m1_subset_1(D, u1_incsp_1(A))) ) )  =>  (v1_funct_1(k1_projred1(A, B, C, D)) & m1_subset_1(k1_projred1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(u1_incsp_1(A), u1_incsp_1(A))))) ) ) ).
fof(d1_projred2, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) & l1_incsp_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  (r1_projred2(A, B, C, D) <=>  (? [E] :  (m1_subset_1(E, u1_incsp_1(A)) &  (r1_incsp_1(A, E, B) &  (r1_incsp_1(A, E, C) & r1_incsp_1(A, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_projred2, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) &  (v9_incproj(A) & l1_incsp_1(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_incsp_1(A), u1_incsp_1(A)))))  =>  (m1_projred2(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_incsp_1(A)) &  (? [D] :  (m1_subset_1(D, u2_incsp_1(A)) &  (? [E] :  (m1_subset_1(E, u2_incsp_1(A)) &  ( ~ (r1_incsp_1(A, C, D))  &  ( ~ (r1_incsp_1(A, C, E))  & B=k1_projred1(A, D, E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_projred2, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) &  (v9_incproj(A) & l1_incsp_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  ( ~ ( ( ~ (B=C)  &  ( ~ (C=D)  &  ~ (D=B) ) ) )  => r1_projred2(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t2_projred2, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) &  (v9_incproj(A) & l1_incsp_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  (r1_projred2(A, B, C, D) =>  (r1_projred2(A, B, D, C) &  (r1_projred2(A, C, B, D) &  (r1_projred2(A, C, D, B) &  (r1_projred2(A, D, B, C) & r1_projred2(A, D, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_projred2, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) &  (v9_incproj(A) & l1_incsp_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(A)) =>  ~ ( ( ~ (r1_incsp_1(A, B, D))  &  ( ~ (r1_incsp_1(A, B, E))  &  (r1_incsp_1(A, C, E) &  (! [F] :  (m1_subset_1(F, u1_incsp_1(A)) =>  ~ ( (r1_incsp_1(A, F, D) & k1_funct_1(k1_projred1(A, D, E, B), F)=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_projred2, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) &  (v9_incproj(A) & l1_incsp_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  ~ ( ( ~ (r1_incsp_1(A, B, C))  &  ( ~ (r1_incsp_1(A, B, D))  &  ~ (k1_relset_1(u1_incsp_1(A), k1_projred1(A, C, D, B))=k1_projred2(A, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_projred2, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) &  (v9_incproj(A) & l1_incsp_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  ~ ( ( ~ (r1_incsp_1(A, B, C))  &  ( ~ (r1_incsp_1(A, B, D))  &  ~ (k10_xtuple_0(k1_projred1(A, C, D, B))=k1_projred2(A, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_projred2, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) &  (v9_incproj(A) & l1_incsp_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(A)) =>  (! [C] :  (r2_tarski(C, k1_projred2(A, B)) <=>  (? [D] :  (m1_subset_1(D, u1_incsp_1(A)) &  (C=D & r1_incsp_1(A, D, B)) ) ) ) ) ) ) ) ) ).
fof(t7_projred2, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) &  (v9_incproj(A) & l1_incsp_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  ~ ( ( ~ (r1_incsp_1(A, B, C))  &  ( ~ (r1_incsp_1(A, B, D))  &  ~ (v2_funct_1(k1_projred1(A, C, D, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_projred2, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) &  (v9_incproj(A) & l1_incsp_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  ~ ( ( ~ (r1_incsp_1(A, B, C))  &  ( ~ (r1_incsp_1(A, B, D))  &  ~ (k2_funct_1(k1_projred1(A, C, D, B))=k1_projred1(A, D, C, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_projred2, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) &  (v9_incproj(A) & l1_incsp_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_projred2(B, A) => m1_projred2(k2_funct_1(B), A)) ) ) ) ).
fof(t10_projred2, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) &  (v9_incproj(A) & l1_incsp_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  ( ~ (r1_incsp_1(A, B, C))  => k1_projred1(A, C, C, B)=k6_partfun1(k1_projred2(A, C))) ) ) ) ) ) ) ).
fof(t11_projred2, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) &  (v9_incproj(A) & l1_incsp_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(A)) => m1_projred2(k6_partfun1(k1_projred2(A, B)), A)) ) ) ) ).
fof(t12_projred2, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) &  (v9_incproj(A) & l1_incsp_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u2_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(A)) =>  ~ ( ( ~ (r1_incsp_1(A, B, C))  &  ( ~ (r1_incsp_1(A, B, D))  &  ( ~ (r1_incsp_1(A, B, E))  &  ~ (k3_relat_1(k1_projred1(A, C, E, B), k1_projred1(A, E, D, B))=k1_projred1(A, C, D, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_projred2, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) &  (v9_incproj(A) & l1_incsp_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(A)) =>  (! [F] :  (m1_subset_1(F, u2_incsp_1(A)) =>  ~ ( ( ~ (r1_incsp_1(A, B, D))  &  ( ~ (r1_incsp_1(A, B, E))  &  ( ~ (r1_incsp_1(A, C, E))  &  ( ~ (r1_incsp_1(A, C, F))  &  (r1_projred2(A, D, E, F) &  ( ~ (D=F)  &  (! [G] :  (m1_subset_1(G, u1_incsp_1(A)) =>  ~ ( ( ~ (r1_incsp_1(A, G, D))  &  ( ~ (r1_incsp_1(A, G, F))  & k3_relat_1(k1_projred1(A, D, E, B), k1_projred1(A, E, F, C))=k1_projred1(A, D, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_projred2, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) &  (v9_incproj(A) & l1_incsp_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) =>  (! [F] :  (m1_subset_1(F, u1_incsp_1(A)) =>  (! [G] :  (m1_subset_1(G, u1_incsp_1(A)) =>  (! [H] :  (m1_subset_1(H, u1_incsp_1(A)) =>  (! [I] :  (m1_subset_1(I, u2_incsp_1(A)) =>  (! [J] :  (m1_subset_1(J, u2_incsp_1(A)) =>  (! [K] :  (m1_subset_1(K, u2_incsp_1(A)) =>  (! [L] :  (m1_subset_1(L, u2_incsp_1(A)) =>  (! [M] :  (m1_subset_1(M, u2_incsp_1(A)) =>  (! [N] :  (m1_subset_1(N, u2_incsp_1(A)) =>  (! [O] :  (m1_subset_1(O, u2_incsp_1(A)) =>  (! [P] :  (m1_subset_1(P, u2_incsp_1(A)) =>  ( (r1_incsp_1(A, D, L) &  (r1_incsp_1(A, D, N) &  (r1_incsp_1(A, D, P) &  (r1_incsp_1(A, B, O) &  (r1_incsp_1(A, C, O) &  (r1_incsp_1(A, E, N) &  (r1_incsp_1(A, E, M) &  (r1_incsp_1(A, B, I) &  (r1_incsp_1(A, E, I) &  (r1_incsp_1(A, F, L) &  (r1_incsp_1(A, F, I) &  (r1_incsp_1(A, H, O) &  (r1_incsp_1(A, H, J) &  (r1_incsp_1(A, F, J) &  (r1_incsp_1(A, G, J) &  (r1_incsp_1(A, E, K) &  (r1_incsp_1(A, C, K) &  (r1_incsp_1(A, G, K) & r1_incsp_1(A, G, P)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (r1_incsp_1(A, B, L) |  (r1_incsp_1(A, C, M) |  (r1_incsp_1(A, B, N) |  (r1_incsp_1(A, C, N) |  (r1_projred2(A, L, M, N) |  (r1_incsp_1(A, C, P) |  (L=P |  (r1_projred2(A, M, N, O) |  (H=B |  (r1_incsp_1(A, H, L) |  (r1_incsp_1(A, H, P) | k3_relat_1(k1_projred1(A, L, N, B), k1_projred1(A, N, M, C))=k3_relat_1(k1_projred1(A, L, P, H), k1_projred1(A, P, M, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_projred2, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) &  (v9_incproj(A) & l1_incsp_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) =>  (! [F] :  (m1_subset_1(F, u1_incsp_1(A)) =>  (! [G] :  (m1_subset_1(G, u1_incsp_1(A)) =>  (! [H] :  (m1_subset_1(H, u1_incsp_1(A)) =>  (! [I] :  (m1_subset_1(I, u1_incsp_1(A)) =>  (! [J] :  (m1_subset_1(J, u1_incsp_1(A)) =>  (! [K] :  (m1_subset_1(K, u2_incsp_1(A)) =>  (! [L] :  (m1_subset_1(L, u2_incsp_1(A)) =>  (! [M] :  (m1_subset_1(M, u2_incsp_1(A)) =>  (! [N] :  (m1_subset_1(N, u2_incsp_1(A)) =>  (! [O] :  (m1_subset_1(O, u2_incsp_1(A)) =>  (! [P] :  (m1_subset_1(P, u2_incsp_1(A)) =>  (! [Q] :  (m1_subset_1(Q, u2_incsp_1(A)) =>  (! [R] :  (m1_subset_1(R, u2_incsp_1(A)) =>  ( (r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), D, G), N) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), G, I, E), O) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), D, E, H), P) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), B, C, E), Q) &  (r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), D, J), R) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), B, G, H), K) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), C, H, J), L) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), G, J, F), M) & r1_incsp_1(A, F, Q)) ) ) ) ) ) ) )  =>  (r1_incsp_1(A, B, N) |  (r1_incsp_1(A, B, P) |  (r1_incsp_1(A, C, O) |  (r1_incsp_1(A, C, P) |  (r1_incsp_1(A, C, R) |  (r1_projred2(A, N, O, P) |  (B=C |  (C=F |  (N=R | k3_relat_1(k1_projred1(A, N, P, B), k1_projred1(A, P, O, C))=k3_relat_1(k1_projred1(A, N, R, F), k1_projred1(A, R, O, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_projred2, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) &  (v9_incproj(A) & l1_incsp_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) =>  (! [F] :  (m1_subset_1(F, u1_incsp_1(A)) =>  (! [G] :  (m1_subset_1(G, u1_incsp_1(A)) =>  (! [H] :  (m1_subset_1(H, u1_incsp_1(A)) =>  (! [I] :  (m1_subset_1(I, u2_incsp_1(A)) =>  (! [J] :  (m1_subset_1(J, u2_incsp_1(A)) =>  (! [K] :  (m1_subset_1(K, u2_incsp_1(A)) =>  (! [L] :  (m1_subset_1(L, u2_incsp_1(A)) =>  (! [M] :  (m1_subset_1(M, u2_incsp_1(A)) =>  (! [N] :  (m1_subset_1(N, u2_incsp_1(A)) =>  (! [O] :  (m1_subset_1(O, u2_incsp_1(A)) =>  (! [P] :  (m1_subset_1(P, u2_incsp_1(A)) =>  ( (r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), D, F), L) &  (r1_incsp_1(A, E, M) &  (r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), D, E), N) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), B, C, H), O) &  (r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), D, G), P) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), B, E, F), I) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), H, F, G), J) & r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), C, E, G), K)) ) ) ) ) ) )  =>  (r1_incsp_1(A, B, L) |  (r1_incsp_1(A, B, N) |  (r1_incsp_1(A, C, N) |  (r1_incsp_1(A, C, P) |  (r1_projred2(A, L, M, N) |  (r1_projred2(A, M, N, O) |  (L=P |  (P=N |  (B=C |  ( ~ (H=B)  &  ( ~ (H=C)  &  ( ~ (r1_incsp_1(A, H, L))  &  ~ (r1_incsp_1(A, H, P)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_projred2, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) &  (v9_incproj(A) & l1_incsp_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) =>  (! [F] :  (m1_subset_1(F, u1_incsp_1(A)) =>  (! [G] :  (m1_subset_1(G, u1_incsp_1(A)) =>  (! [H] :  (m1_subset_1(H, u1_incsp_1(A)) =>  (! [I] :  (m1_subset_1(I, u1_incsp_1(A)) =>  (! [J] :  (m1_subset_1(J, u1_incsp_1(A)) =>  (! [K] :  (m1_subset_1(K, u2_incsp_1(A)) =>  (! [L] :  (m1_subset_1(L, u2_incsp_1(A)) =>  (! [M] :  (m1_subset_1(M, u2_incsp_1(A)) =>  (! [N] :  (m1_subset_1(N, u2_incsp_1(A)) =>  (! [O] :  (m1_subset_1(O, u2_incsp_1(A)) =>  (! [P] :  (m1_subset_1(P, u2_incsp_1(A)) =>  (! [Q] :  (m1_subset_1(Q, u2_incsp_1(A)) =>  (! [R] :  (m1_subset_1(R, u2_incsp_1(A)) =>  ( (r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), D, G), N) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), G, I, E), O) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), D, E, H), P) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), B, C, E), Q) &  (r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), D, J), R) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), B, G, H), K) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), C, H, J), L) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), G, J, F), M) & r1_incsp_1(A, F, Q)) ) ) ) ) ) ) )  =>  (r1_incsp_1(A, B, N) |  (r1_incsp_1(A, B, P) |  (r1_incsp_1(A, C, O) |  (r1_incsp_1(A, C, P) |  (r1_incsp_1(A, C, R) |  (r1_projred2(A, N, O, P) |  (B=C |  (N=R |  ( ~ (r1_incsp_1(A, F, N))  &  ( ~ (r1_incsp_1(A, F, R))  &  ~ (C=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_projred2, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) &  (v9_incproj(A) & l1_incsp_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) =>  (! [F] :  (m1_subset_1(F, u1_incsp_1(A)) =>  (! [G] :  (m1_subset_1(G, u1_incsp_1(A)) =>  (! [H] :  (m1_subset_1(H, u1_incsp_1(A)) =>  (! [I] :  (m1_subset_1(I, u2_incsp_1(A)) =>  (! [J] :  (m1_subset_1(J, u2_incsp_1(A)) =>  (! [K] :  (m1_subset_1(K, u2_incsp_1(A)) =>  (! [L] :  (m1_subset_1(L, u2_incsp_1(A)) =>  (! [M] :  (m1_subset_1(M, u2_incsp_1(A)) =>  (! [N] :  (m1_subset_1(N, u2_incsp_1(A)) =>  (! [O] :  (m1_subset_1(O, u2_incsp_1(A)) =>  (! [P] :  (m1_subset_1(P, u2_incsp_1(A)) =>  ( (r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), D, F), L) &  (r1_incsp_1(A, E, M) &  (r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), D, E), N) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), B, C, H), O) &  (r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), D, G), P) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), B, E, F), I) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), H, F, G), J) & r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), C, E, G), K)) ) ) ) ) ) )  =>  (r1_incsp_1(A, B, L) |  (r1_incsp_1(A, B, N) |  (r1_incsp_1(A, C, N) |  (r1_incsp_1(A, H, L) |  (r1_projred2(A, L, M, N) |  (r1_projred2(A, M, N, O) |  (B=C |  (C=H |  (H=B |  ( ~ (P=L)  &  ( ~ (P=N)  &  ( ~ (r1_incsp_1(A, H, P))  &  ~ (r1_incsp_1(A, C, P)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_projred2, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) &  (v9_incproj(A) & l1_incsp_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) =>  (! [F] :  (m1_subset_1(F, u1_incsp_1(A)) =>  (! [G] :  (m1_subset_1(G, u1_incsp_1(A)) =>  (! [H] :  (m1_subset_1(H, u1_incsp_1(A)) =>  (! [I] :  (m1_subset_1(I, u1_incsp_1(A)) =>  (! [J] :  (m1_subset_1(J, u1_incsp_1(A)) =>  (! [K] :  (m1_subset_1(K, u2_incsp_1(A)) =>  (! [L] :  (m1_subset_1(L, u2_incsp_1(A)) =>  (! [M] :  (m1_subset_1(M, u2_incsp_1(A)) =>  (! [N] :  (m1_subset_1(N, u2_incsp_1(A)) =>  (! [O] :  (m1_subset_1(O, u2_incsp_1(A)) =>  (! [P] :  (m1_subset_1(P, u2_incsp_1(A)) =>  (! [Q] :  (m1_subset_1(Q, u2_incsp_1(A)) =>  (! [R] :  (m1_subset_1(R, u2_incsp_1(A)) =>  ( (r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), D, G), N) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), G, I, E), O) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), D, E, H), P) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), B, C, E), Q) &  (r4_incsp_1(A, k7_domain_1(u1_incsp_1(A), D, J), R) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), B, G, H), K) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), C, H, J), L) &  (r4_incsp_1(A, k8_domain_1(u1_incsp_1(A), G, J, F), M) & r1_incsp_1(A, F, Q)) ) ) ) ) ) ) )  =>  (r1_incsp_1(A, B, N) |  (r1_incsp_1(A, B, P) |  (r1_incsp_1(A, C, O) |  (r1_incsp_1(A, C, P) |  (r1_incsp_1(A, F, N) |  (r1_projred2(A, N, O, P) |  (B=C |  (C=F |  ( ~ (r1_incsp_1(A, C, R))  &  ( ~ (r1_incsp_1(A, F, R))  &  ~ (N=R) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_projred2, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) &  (v9_incproj(A) & l1_incsp_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(A)) =>  (! [F] :  (m1_subset_1(F, u2_incsp_1(A)) =>  (! [G] :  (m1_subset_1(G, u2_incsp_1(A)) =>  (! [H] :  (m1_subset_1(H, u2_incsp_1(A)) =>  ~ ( ( ~ (r1_incsp_1(A, B, D))  &  ( ~ (r1_incsp_1(A, C, E))  &  ( ~ (r1_incsp_1(A, B, F))  &  ( ~ (r1_incsp_1(A, C, F))  &  ( ~ (r1_projred2(A, D, E, F))  &  (r1_projred2(A, D, F, H) &  ( ~ (r1_incsp_1(A, C, H))  &  ( ~ (D=H)  &  ( ~ (B=C)  &  (r1_incsp_1(A, B, G) &  (r1_incsp_1(A, C, G) &  (! [I] :  (m1_subset_1(I, u1_incsp_1(A)) =>  ~ ( (r1_incsp_1(A, I, G) &  ( ~ (r1_incsp_1(A, I, D))  &  ( ~ (r1_incsp_1(A, I, H))  & k3_relat_1(k1_projred1(A, D, F, B), k1_projred1(A, F, E, C))=k3_relat_1(k1_projred1(A, D, H, I), k1_projred1(A, H, E, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_projred2, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) &  (v9_incproj(A) & l1_incsp_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u2_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(A)) =>  (! [F] :  (m1_subset_1(F, u2_incsp_1(A)) =>  (! [G] :  (m1_subset_1(G, u2_incsp_1(A)) =>  (! [H] :  (m1_subset_1(H, u2_incsp_1(A)) =>  ~ ( ( ~ (r1_incsp_1(A, B, D))  &  ( ~ (r1_incsp_1(A, C, E))  &  ( ~ (r1_incsp_1(A, B, F))  &  ( ~ (r1_incsp_1(A, C, F))  &  ( ~ (r1_projred2(A, D, E, F))  &  (r1_projred2(A, E, F, H) &  ( ~ (r1_incsp_1(A, B, H))  &  ( ~ (E=H)  &  ( ~ (B=C)  &  (r1_incsp_1(A, B, G) &  (r1_incsp_1(A, C, G) &  (! [I] :  (m1_subset_1(I, u1_incsp_1(A)) =>  ~ ( (r1_incsp_1(A, I, G) &  ( ~ (r1_incsp_1(A, I, E))  &  ( ~ (r1_incsp_1(A, I, H))  & k3_relat_1(k1_projred1(A, D, F, B), k1_projred1(A, F, E, C))=k3_relat_1(k1_projred1(A, D, H, B), k1_projred1(A, H, E, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_projred2, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) &  (v9_incproj(A) & l1_incsp_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u1_incsp_1(A)) =>  (! [F] :  (m1_subset_1(F, u1_incsp_1(A)) =>  (! [G] :  (m1_subset_1(G, u1_incsp_1(A)) =>  (! [H] :  (m1_subset_1(H, u2_incsp_1(A)) =>  (! [I] :  (m1_subset_1(I, u2_incsp_1(A)) =>  (! [J] :  (m1_subset_1(J, u2_incsp_1(A)) =>  (! [K] :  (m1_subset_1(K, u2_incsp_1(A)) =>  (! [L] :  (m1_subset_1(L, u2_incsp_1(A)) =>  (! [M] :  (m1_subset_1(M, u2_incsp_1(A)) =>  ( (r1_incsp_1(A, D, H) &  (r1_incsp_1(A, D, J) &  (r1_incsp_1(A, E, I) &  (r1_incsp_1(A, E, J) &  (r1_incsp_1(A, B, M) &  (r1_incsp_1(A, E, M) &  (r1_incsp_1(A, D, L) &  (r1_incsp_1(A, C, L) &  (r1_incsp_1(A, G, H) &  (r1_incsp_1(A, G, M) &  (r1_incsp_1(A, F, I) &  (r1_incsp_1(A, F, L) &  (r1_incsp_1(A, G, K) & r1_incsp_1(A, F, K)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (r1_incsp_1(A, B, H) |  (r1_incsp_1(A, C, I) |  (r1_incsp_1(A, B, J) |  (r1_incsp_1(A, C, J) |  (r1_incsp_1(A, B, I) |  (r1_incsp_1(A, C, H) |  (r1_projred2(A, H, I, J) | k3_relat_1(k1_projred1(A, H, J, B), k1_projred1(A, J, I, C))=k3_relat_1(k1_projred1(A, H, K, C), k1_projred1(A, K, I, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_projred2, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) &  (v9_incproj(A) & l1_incsp_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(A)) =>  (! [F] :  (m1_subset_1(F, u2_incsp_1(A)) =>  (! [G] :  (m1_subset_1(G, u2_incsp_1(A)) =>  (! [H] :  (m1_subset_1(H, u2_incsp_1(A)) =>  ~ ( ( ~ (r1_incsp_1(A, B, E))  &  ( ~ (r1_incsp_1(A, C, F))  &  ( ~ (r1_incsp_1(A, B, G))  &  ( ~ (r1_incsp_1(A, C, G))  &  ( ~ (B=C)  &  (r1_incsp_1(A, B, H) &  (r1_incsp_1(A, C, H) &  (r1_incsp_1(A, D, H) &  ( ~ (r1_incsp_1(A, D, E))  &  ( ~ (D=C)  &  ( ~ (r1_projred2(A, E, F, G))  &  (! [I] :  (m1_subset_1(I, u2_incsp_1(A)) =>  ~ ( (r1_projred2(A, E, G, I) &  ( ~ (r1_incsp_1(A, C, I))  &  ( ~ (r1_incsp_1(A, D, I))  & k3_relat_1(k1_projred1(A, E, G, B), k1_projred1(A, G, F, C))=k3_relat_1(k1_projred1(A, E, I, D), k1_projred1(A, I, F, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_projred2, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) &  (v9_incproj(A) & l1_incsp_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_incsp_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_incsp_1(A)) =>  (! [D] :  (m1_subset_1(D, u1_incsp_1(A)) =>  (! [E] :  (m1_subset_1(E, u2_incsp_1(A)) =>  (! [F] :  (m1_subset_1(F, u2_incsp_1(A)) =>  (! [G] :  (m1_subset_1(G, u2_incsp_1(A)) =>  (! [H] :  (m1_subset_1(H, u2_incsp_1(A)) =>  ~ ( ( ~ (r1_incsp_1(A, B, E))  &  ( ~ (r1_incsp_1(A, C, F))  &  ( ~ (r1_incsp_1(A, B, G))  &  ( ~ (r1_incsp_1(A, C, G))  &  ( ~ (B=C)  &  (r1_incsp_1(A, B, H) &  (r1_incsp_1(A, C, H) &  (r1_incsp_1(A, D, H) &  ( ~ (r1_incsp_1(A, D, F))  &  ( ~ (D=B)  &  ( ~ (r1_projred2(A, E, F, G))  &  (! [I] :  (m1_subset_1(I, u2_incsp_1(A)) =>  ~ ( (r1_projred2(A, F, G, I) &  ( ~ (r1_incsp_1(A, B, I))  &  ( ~ (r1_incsp_1(A, D, I))  & k3_relat_1(k1_projred1(A, E, G, B), k1_projred1(A, G, F, C))=k3_relat_1(k1_projred1(A, E, I, B), k1_projred1(A, I, F, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_projred2, axiom,  (! [A, B] :  ( ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) & l1_incsp_1(A)) ) ) ) )  & m1_subset_1(B, u2_incsp_1(A)))  => m1_subset_1(k1_projred2(A, B), k1_zfmisc_1(u1_incsp_1(A)))) ) ).
fof(dt_m1_projred2, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) &  (v9_incproj(A) & l1_incsp_1(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_projred2(B, A) =>  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_incsp_1(A), u1_incsp_1(A))))) ) ) ) ) ).
fof(existence_m1_projred2, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) &  (v5_incproj(A) &  (v9_incproj(A) & l1_incsp_1(A)) ) ) ) ) ) )  =>  (? [B] : m1_projred2(B, A)) ) ) ).
fof(d2_projred2, axiom,  (! [A] :  ( (v6_incsp_1(A) &  (v1_incproj(A) &  (v2_incproj(A) &  (v3_incproj(A) &  (v4_incproj(A) & l1_incsp_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u2_incsp_1(A)) => k1_projred2(A, B)=a_2_0_projred2(A, B)) ) ) ) ).
fof(fraenkel_a_2_0_projred2, axiom,  (! [A, B, C] :  ( ( (v6_incsp_1(B) &  (v1_incproj(B) &  (v2_incproj(B) &  (v3_incproj(B) &  (v4_incproj(B) & l1_incsp_1(B)) ) ) ) )  & m1_subset_1(C, u2_incsp_1(B)))  =>  (r2_hidden(A, a_2_0_projred2(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_incsp_1(B)) &  (A=D & r1_incsp_1(B, D, C)) ) ) ) ) ) ).
fof(fc1_prvect_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  & v7_ordinal1(B))  =>  ( ~ (v2_struct_0(k4_prvect_1(A, B)))  &  (v8_algstr_0(k4_prvect_1(A, B)) &  (v13_algstr_0(k4_prvect_1(A, B)) &  (v2_rlvect_1(k4_prvect_1(A, B)) &  (v3_rlvect_1(k4_prvect_1(A, B)) & v4_rlvect_1(k4_prvect_1(A, B))) ) ) ) ) ) ) ).
fof(fc2_prvect_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  & v7_ordinal1(B))  =>  ( ~ (v2_struct_0(k6_prvect_1(A, B)))  & v7_vectsp_1(k6_prvect_1(A, B), A)) ) ) ).
fof(fc3_prvect_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  & v7_ordinal1(B))  =>  (v7_vectsp_1(k6_prvect_1(A, B), A) &  (v8_vectsp_1(k6_prvect_1(A, B), A) &  (v9_vectsp_1(k6_prvect_1(A, B), A) &  (v10_vectsp_1(k6_prvect_1(A, B), A) & v11_vectsp_1(k6_prvect_1(A, B), A)) ) ) ) ) ) ).
fof(cc1_prvect_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) ) )  =>  (! [B] :  (m1_prvect_1(B, A) => v1_finseq_1(B)) ) ) ) ).
fof(cc2_prvect_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) ) )  =>  (! [B] :  (m2_prvect_1(B, A) => v1_finseq_1(B)) ) ) ) ).
fof(cc3_prvect_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) ) )  =>  (! [B] :  (m1_prvect_1(B, A) => v1_funcop_1(B)) ) ) ) ).
fof(cc4_prvect_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) ) )  =>  (! [B] :  (m2_prvect_1(B, A) => v1_funcop_1(B)) ) ) ) ).
fof(cc5_prvect_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_prvect_1(A))  =>  (v1_relat_1(A) & v1_prvect_1(A)) ) ) ).
fof(rc1_prvect_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v4_card_3(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) & v2_prvect_1(A)) ) ) ) ) ) ) ) ) ).
fof(fc4_prvect_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v2_prvect_1(A)) ) ) )  =>  ( ~ (v2_struct_0(k21_prvect_1(A)))  &  (v8_algstr_0(k21_prvect_1(A)) &  (v13_algstr_0(k21_prvect_1(A)) &  (v2_rlvect_1(k21_prvect_1(A)) &  (v3_rlvect_1(k21_prvect_1(A)) & v4_rlvect_1(k21_prvect_1(A))) ) ) ) ) ) ) ).
fof(t1_prvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  => r3_binop_1(u1_struct_0(A), k4_struct_0(A), u1_algstr_0(A))) ) ).
fof(t2_prvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  => r1_finseqop(u1_struct_0(A), k4_vectsp_1(A), u1_algstr_0(A))) ) ).
fof(t3_prvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  ( (v1_binop_1(u1_algstr_0(A), u1_struct_0(A)) &  (v2_binop_1(u1_algstr_0(A), u1_struct_0(A)) &  (r3_binop_1(u1_struct_0(A), k4_struct_0(A), u1_algstr_0(A)) & r1_finseqop(u1_struct_0(A), k4_vectsp_1(A), u1_algstr_0(A))) ) )  =>  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) ) ) ) ) ).
fof(t4_prvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  => r3_binop_1(u1_struct_0(A), k4_struct_0(A), u1_algstr_0(A))) ) ).
fof(t5_prvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  => r3_binop_1(u1_struct_0(A), k1_group_1(A), u2_algstr_0(A))) ) ).
fof(d1_prvect_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k4_finseq_2(C, A), k4_finseq_2(C, A)), k4_finseq_2(C, A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(C, A), k4_finseq_2(C, A)), k4_finseq_2(C, A))))) )  =>  (D=k2_prvect_1(A, B, C) <=>  (! [E] :  (m2_finseq_2(E, A, k4_finseq_2(C, A)) =>  (! [F] :  (m2_finseq_2(F, A, k4_finseq_2(C, A)) => k4_binop_1(k4_finseq_2(C, A), D, E, F)=k1_prvect_1(A, C, B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_prvect_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(C, A), k4_finseq_2(C, A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(C, A), k4_finseq_2(C, A))))) )  =>  (D=k3_prvect_1(A, B, C) <=>  (! [E] :  (m2_finseq_2(E, A, k4_finseq_2(C, A)) => k3_funct_2(k4_finseq_2(C, A), k4_finseq_2(C, A), D, E)=k4_finseqop(A, A, E, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_prvect_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (v1_binop_1(C, B) => v1_binop_1(k2_prvect_1(B, C, A), k4_finseq_2(A, B))) ) ) ) ) ) ) ).
fof(t7_prvect_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (v2_binop_1(C, B) => v2_binop_1(k2_prvect_1(B, C, A), k4_finseq_2(A, B))) ) ) ) ) ) ) ).
fof(t8_prvect_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(B, B), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (r3_binop_1(B, C, D) => r3_binop_1(k4_finseq_2(A, B), k5_finseq_2(B, A, C), k2_prvect_1(B, D, A))) ) ) ) ) ) ) ) ) ).
fof(t9_prvect_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, B)))) )  =>  ( (v1_setwiseo(C, B) &  (v2_binop_1(C, B) & r1_finseqop(B, D, C)) )  => r1_finseqop(k4_finseq_2(A, B), k3_prvect_1(B, D, A), k2_prvect_1(B, C, A))) ) ) ) ) ) ) ) ) ).
fof(d3_prvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  ( (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & v13_algstr_0(A)) ) )  => k4_prvect_1(A, B)=g2_algstr_0(k4_finseq_2(B, u1_struct_0(A)), k2_prvect_1(u1_struct_0(A), u1_algstr_0(A), B), k5_finseq_2(u1_struct_0(A), B, k4_struct_0(A)))) ) ) ) ) ).
fof(d4_prvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), k4_finseq_2(B, u1_struct_0(A))), k4_finseq_2(B, u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k4_finseq_2(B, u1_struct_0(A))), k4_finseq_2(B, u1_struct_0(A)))))) )  =>  (C=k5_prvect_1(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m2_finseq_2(E, u1_struct_0(A), k4_finseq_2(B, u1_struct_0(A))) => k2_binop_1(u1_struct_0(A), k4_finseq_2(B, u1_struct_0(A)), k4_finseq_2(B, u1_struct_0(A)), C, D, E)=k3_finseqop(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u2_algstr_0(A), D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_prvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v7_vectsp_1(C, A) & l1_vectsp_1(C, A))  =>  (C=k6_prvect_1(A, B) <=>  (g2_algstr_0(u1_struct_0(C), u1_algstr_0(C), u2_struct_0(C))=k4_prvect_1(A, B) & u1_vectsp_1(A, C)=k5_prvect_1(A, B)) ) ) ) ) ) ) ) ).
fof(t10_prvect_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(B, B), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (! [E] :  (m1_subset_1(E, B) =>  (! [F] :  (m2_finseq_2(F, B, k4_finseq_2(A, B)) =>  (! [G] :  (m2_finseq_2(G, B, k4_finseq_2(A, B)) =>  (r6_binop_1(B, C, D) => k3_finseqop(B, B, B, C, E, k1_prvect_1(B, A, D, F, G))=k1_finseqop(B, B, B, D, k3_finseqop(B, B, B, C, E, F), k3_finseqop(B, B, B, C, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_prvect_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ~ (v1_xboole_0(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (m1_prvect_1(B, A) <=>  (k9_xtuple_0(B)=k9_xtuple_0(A) &  (! [C] :  (m1_subset_1(C, k9_xtuple_0(A)) =>  (v1_funct_1(k1_funct_1(B, C)) &  (v1_funct_2(k1_funct_1(B, C), k2_zfmisc_1(k1_funct_1(A, C), k1_funct_1(A, C)), k1_funct_1(A, C)) & m1_subset_1(k1_funct_1(B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_funct_1(A, C), k1_funct_1(A, C)), k1_funct_1(A, C))))) ) ) ) ) ) ) ) ) ) ).
fof(d7_prvect_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ~ (v1_xboole_0(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (m2_prvect_1(B, A) <=>  (k9_xtuple_0(B)=k9_xtuple_0(A) &  (! [C] :  (m1_subset_1(C, k9_xtuple_0(A)) =>  (v1_funct_1(k1_funct_1(B, C)) &  (v1_funct_2(k1_funct_1(B, C), k1_funct_1(A, C), k1_funct_1(A, C)) & m1_subset_1(k1_funct_1(B, C), k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(A, C), k1_funct_1(A, C))))) ) ) ) ) ) ) ) ) ) ).
fof(t11_prvect_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (m1_prvect_1(B, A) <=>  (k3_finseq_1(B)=k3_finseq_1(A) &  (! [C] :  (m2_subset_1(C, k4_ordinal1, k4_finseq_1(A)) =>  (v1_funct_1(k1_funct_1(B, C)) &  (v1_funct_2(k1_funct_1(B, C), k2_zfmisc_1(k1_funct_1(A, C), k1_funct_1(A, C)), k1_funct_1(A, C)) & m1_subset_1(k1_funct_1(B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_funct_1(A, C), k1_funct_1(A, C)), k1_funct_1(A, C))))) ) ) ) ) ) ) ) ) ) ).
fof(t12_prvect_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (m2_prvect_1(B, A) <=>  (k3_finseq_1(B)=k3_finseq_1(A) &  (! [C] :  (m2_subset_1(C, k4_ordinal1, k4_finseq_1(A)) =>  (v1_funct_1(k1_funct_1(B, C)) &  (v1_funct_2(k1_funct_1(B, C), k1_funct_1(A, C), k1_funct_1(A, C)) & m1_subset_1(k1_funct_1(B, C), k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(A, C), k1_funct_1(A, C))))) ) ) ) ) ) ) ) ) ) ).
fof(t13_prvect_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_card_3(A), k4_card_3(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_card_3(A), k4_card_3(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_card_3(A), k4_card_3(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_card_3(A), k4_card_3(A))))) )  =>  ( (! [D] :  (m1_subset_1(D, k4_card_3(A)) =>  (! [E] :  (m2_subset_1(E, k4_ordinal1, k4_finseq_1(A)) => k8_prvect_1(A, k3_funct_2(k4_card_3(A), k4_card_3(A), B, D), E)=k8_prvect_1(A, k3_funct_2(k4_card_3(A), k4_card_3(A), C, D), E)) ) ) )  => r2_funct_2(k4_card_3(A), k4_card_3(A), B, C)) ) ) ) ) ) ) ).
fof(t14_prvect_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) ) )  =>  (! [B] :  (m2_prvect_1(B, A) =>  (k1_funct_6(B)=A & r1_tarski(k4_card_3(k2_funct_6(B)), k4_card_3(A))) ) ) ) ) ).
fof(t15_prvect_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) ) )  =>  (! [B] :  (m2_prvect_1(B, A) =>  (! [C] :  (m1_subset_1(C, k4_card_3(A)) =>  (! [D] :  (m2_subset_1(D, k4_ordinal1, k4_finseq_1(A)) => k8_prvect_1(A, k3_funct_2(k4_card_3(A), k4_card_3(A), k11_prvect_1(A, B), C), D)=k3_funct_2(k1_funct_1(A, D), k1_funct_1(A, D), k10_prvect_1(A, B, D), k8_prvect_1(A, C, D))) ) ) ) ) ) ) ) ).
fof(t16_prvect_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k4_card_3(A), k4_card_3(A)), k4_card_3(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_card_3(A), k4_card_3(A)), k4_card_3(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k4_card_3(A), k4_card_3(A)), k4_card_3(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_card_3(A), k4_card_3(A)), k4_card_3(A))))) )  =>  ( (! [D] :  (m1_subset_1(D, k4_card_3(A)) =>  (! [E] :  (m1_subset_1(E, k4_card_3(A)) =>  (! [F] :  (m2_subset_1(F, k4_ordinal1, k4_finseq_1(A)) => k8_prvect_1(A, k4_binop_1(k4_card_3(A), B, D, E), F)=k8_prvect_1(A, k4_binop_1(k4_card_3(A), C, D, E), F)) ) ) ) ) )  => r8_binop_1(k4_card_3(A), k4_card_3(A), k4_card_3(A), B, C)) ) ) ) ) ) ) ).
fof(d8_prvect_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) ) )  =>  (! [B] :  (m1_prvect_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k4_card_3(A), k4_card_3(A)), k4_card_3(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_card_3(A), k4_card_3(A)), k4_card_3(A))))) )  =>  (C=k12_prvect_1(A, B) <=>  (! [D] :  (m1_subset_1(D, k4_card_3(A)) =>  (! [E] :  (m1_subset_1(E, k4_card_3(A)) =>  (! [F] :  (m2_subset_1(F, k4_ordinal1, k4_finseq_1(A)) => k8_prvect_1(A, k4_binop_1(k4_card_3(A), C, D, E), F)=k4_binop_1(k1_funct_1(A, F), k9_prvect_1(A, B, F), k8_prvect_1(A, D, F), k8_prvect_1(A, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_prvect_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) ) )  =>  (! [B] :  (m1_prvect_1(B, A) =>  ( (! [C] :  (m2_subset_1(C, k4_ordinal1, k4_finseq_1(A)) => v1_binop_1(k9_prvect_1(A, B, C), k1_funct_1(A, C))) )  => v1_binop_1(k12_prvect_1(A, B), k4_card_3(A))) ) ) ) ) ).
fof(t18_prvect_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) ) )  =>  (! [B] :  (m1_prvect_1(B, A) =>  ( (! [C] :  (m2_subset_1(C, k4_ordinal1, k4_finseq_1(A)) => v2_binop_1(k9_prvect_1(A, B, C), k1_funct_1(A, C))) )  => v2_binop_1(k12_prvect_1(A, B), k4_card_3(A))) ) ) ) ) ).
fof(t19_prvect_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) ) )  =>  (! [B] :  (m1_prvect_1(B, A) =>  (! [C] :  (m1_subset_1(C, k4_card_3(A)) =>  ( (! [D] :  (m2_subset_1(D, k4_ordinal1, k4_finseq_1(A)) => r3_binop_1(k1_funct_1(A, D), k8_prvect_1(A, C, D), k9_prvect_1(A, B, D))) )  => r3_binop_1(k4_card_3(A), C, k12_prvect_1(A, B))) ) ) ) ) ) ) ).
fof(t20_prvect_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) ) )  =>  (! [B] :  (m1_prvect_1(B, A) =>  (! [C] :  (m2_prvect_1(C, A) =>  ( (! [D] :  (m2_subset_1(D, k4_ordinal1, k4_finseq_1(A)) =>  (r1_finseqop(k1_funct_1(A, D), k10_prvect_1(A, C, D), k9_prvect_1(A, B, D)) & v1_setwiseo(k9_prvect_1(A, B, D), k1_funct_1(A, D))) ) )  => r1_finseqop(k4_card_3(A), k11_prvect_1(A, C), k12_prvect_1(A, B))) ) ) ) ) ) ) ).
fof(d9_prvect_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v1_prvect_1(A) <=>  (! [B] :  (r2_tarski(B, k10_xtuple_0(A)) =>  ( ~ (v2_struct_0(B))  & l2_algstr_0(B)) ) ) ) ) ) ).
fof(d10_prvect_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v2_prvect_1(A) <=>  (! [B] :  (r2_tarski(B, k10_xtuple_0(A)) =>  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) ) ) ) ) ) ) ).
fof(d11_prvect_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v1_prvect_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_finseq_1(B)) ) ) )  =>  (B=k15_prvect_1(A) <=>  (k3_finseq_1(B)=k3_finseq_1(A) &  (! [C] :  (m2_subset_1(C, k4_ordinal1, k4_finseq_1(A)) => k1_funct_1(B, C)=u1_struct_0(k13_prvect_1(A, C))) ) ) ) ) ) ) ) ).
fof(d12_prvect_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v1_prvect_1(A)) ) ) )  =>  (! [B] :  (m1_prvect_1(B, k15_prvect_1(A)) =>  (B=k18_prvect_1(A) <=>  (k3_finseq_1(B)=k3_finseq_1(k15_prvect_1(A)) &  (! [C] :  (m2_subset_1(C, k4_ordinal1, k4_finseq_1(k15_prvect_1(A))) => r1_funct_2(k2_zfmisc_1(k1_funct_1(k15_prvect_1(A), C), k1_funct_1(k15_prvect_1(A), C)), k1_funct_1(k15_prvect_1(A), C), k2_zfmisc_1(u1_struct_0(k16_prvect_1(A, C)), u1_struct_0(k16_prvect_1(A, C))), u1_struct_0(k16_prvect_1(A, C)), k9_prvect_1(k15_prvect_1(A), B, C), u1_algstr_0(k16_prvect_1(A, C)))) ) ) ) ) ) ) ) ).
fof(d13_prvect_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v1_prvect_1(A)) ) ) )  =>  (! [B] :  (m2_prvect_1(B, k15_prvect_1(A)) =>  (B=k19_prvect_1(A) <=>  (k3_finseq_1(B)=k3_finseq_1(k15_prvect_1(A)) &  (! [C] :  (m2_subset_1(C, k4_ordinal1, k4_finseq_1(k15_prvect_1(A))) => r1_funct_2(k1_funct_1(k15_prvect_1(A), C), k1_funct_1(k15_prvect_1(A), C), u1_struct_0(k16_prvect_1(A, C)), u1_struct_0(k16_prvect_1(A, C)), k10_prvect_1(k15_prvect_1(A), B, C), k4_vectsp_1(k16_prvect_1(A, C)))) ) ) ) ) ) ) ) ).
fof(d14_prvect_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v1_prvect_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_card_3(k15_prvect_1(A))) =>  (B=k20_prvect_1(A) <=>  (! [C] :  (m2_subset_1(C, k4_ordinal1, k4_finseq_1(k15_prvect_1(A))) => k8_prvect_1(k15_prvect_1(A), B, C)=k4_struct_0(k16_prvect_1(A, C))) ) ) ) ) ) ) ).
fof(d15_prvect_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v1_prvect_1(A)) ) ) )  => k21_prvect_1(A)=g2_algstr_0(k4_card_3(k15_prvect_1(A)), k12_prvect_1(k15_prvect_1(A), k18_prvect_1(A)), k20_prvect_1(A))) ) ).
fof(s1_prvect_1, axiom,  (? [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) )  &  (k3_finseq_1(A)=k3_finseq_1(f1_s1_prvect_1) &  (! [B] :  (m2_subset_1(B, k4_ordinal1, k4_finseq_1(f1_s1_prvect_1)) => k1_funct_1(A, B)=f2_s1_prvect_1(B)) ) ) ) ) ).
fof(dt_k1_prvect_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (m1_subset_1(D, k4_finseq_2(B, A)) & m1_subset_1(E, k4_finseq_2(B, A))) ) ) )  => m2_finseq_2(k1_prvect_1(A, B, C, D, E), A, k4_finseq_2(B, A))) ) ).
fof(redefinition_k1_prvect_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (m1_subset_1(D, k4_finseq_2(B, A)) & m1_subset_1(E, k4_finseq_2(B, A))) ) ) )  => k1_prvect_1(A, B, C, D, E)=k3_funcop_1(C, D, E)) ) ).
fof(dt_k2_prvect_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & v7_ordinal1(C)) )  =>  (v1_funct_1(k2_prvect_1(A, B, C)) &  (v1_funct_2(k2_prvect_1(A, B, C), k2_zfmisc_1(k4_finseq_2(C, A), k4_finseq_2(C, A)), k4_finseq_2(C, A)) & m1_subset_1(k2_prvect_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(C, A), k4_finseq_2(C, A)), k4_finseq_2(C, A))))) ) ) ) ).
fof(dt_k3_prvect_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  & v7_ordinal1(C)) )  =>  (v1_funct_1(k3_prvect_1(A, B, C)) &  (v1_funct_2(k3_prvect_1(A, B, C), k4_finseq_2(C, A), k4_finseq_2(C, A)) & m1_subset_1(k3_prvect_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(C, A), k4_finseq_2(C, A))))) ) ) ) ).
fof(dt_k4_prvect_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  & v7_ordinal1(B))  =>  ( ~ (v2_struct_0(k4_prvect_1(A, B)))  &  (v8_algstr_0(k4_prvect_1(A, B)) &  (v13_algstr_0(k4_prvect_1(A, B)) &  (v2_rlvect_1(k4_prvect_1(A, B)) &  (v3_rlvect_1(k4_prvect_1(A, B)) &  (v4_rlvect_1(k4_prvect_1(A, B)) & l2_algstr_0(k4_prvect_1(A, B))) ) ) ) ) ) ) ) ).
fof(dt_k5_prvect_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  & v7_ordinal1(B))  =>  (v1_funct_1(k5_prvect_1(A, B)) &  (v1_funct_2(k5_prvect_1(A, B), k2_zfmisc_1(u1_struct_0(A), k4_finseq_2(B, u1_struct_0(A))), k4_finseq_2(B, u1_struct_0(A))) & m1_subset_1(k5_prvect_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k4_finseq_2(B, u1_struct_0(A))), k4_finseq_2(B, u1_struct_0(A)))))) ) ) ) ).
fof(dt_k6_prvect_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  & v7_ordinal1(B))  =>  (v7_vectsp_1(k6_prvect_1(A, B), A) & l1_vectsp_1(k6_prvect_1(A, B), A)) ) ) ).
fof(dt_k7_prvect_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (m1_subset_1(D, A) & m1_subset_1(E, k4_finseq_2(B, A))) ) ) )  => m2_finseq_2(k7_prvect_1(A, B, C, D, E), A, k4_finseq_2(B, A))) ) ).
fof(redefinition_k7_prvect_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (m1_subset_1(D, A) & m1_subset_1(E, k4_finseq_2(B, A))) ) ) )  => k7_prvect_1(A, B, C, D, E)=k5_funcop_1(C, D, E)) ) ).
fof(dt_f1_s1_prvect_1, axiom,  (v1_relat_1(f1_s1_prvect_1) &  (v1_funct_1(f1_s1_prvect_1) &  ( ~ (v1_xboole_0(f1_s1_prvect_1))  & v1_finseq_1(f1_s1_prvect_1)) ) ) ).
fof(dt_k8_prvect_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ~ (v1_xboole_0(A)) ) ) )  &  (m1_subset_1(B, k4_card_3(A)) & m1_subset_1(C, k9_xtuple_0(A))) )  => m1_subset_1(k8_prvect_1(A, B, C), k1_funct_1(A, C))) ) ).
fof(redefinition_k8_prvect_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ~ (v1_xboole_0(A)) ) ) )  &  (m1_subset_1(B, k4_card_3(A)) & m1_subset_1(C, k9_xtuple_0(A))) )  => k8_prvect_1(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_m1_prvect_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ~ (v1_xboole_0(A)) ) ) )  =>  (! [B] :  (m1_prvect_1(B, A) =>  (v1_relat_1(B) & v1_funct_1(B)) ) ) ) ) ).
fof(existence_m1_prvect_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ~ (v1_xboole_0(A)) ) ) )  =>  (? [B] : m1_prvect_1(B, A)) ) ) ).
fof(dt_m2_prvect_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ~ (v1_xboole_0(A)) ) ) )  =>  (! [B] :  (m2_prvect_1(B, A) =>  (v1_relat_1(B) & v1_funct_1(B)) ) ) ) ) ).
fof(existence_m2_prvect_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ~ (v1_xboole_0(A)) ) ) )  =>  (? [B] : m2_prvect_1(B, A)) ) ) ).
fof(dt_k9_prvect_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) ) )  &  (m1_prvect_1(B, A) & m1_subset_1(C, k4_finseq_1(A))) )  =>  (v1_funct_1(k9_prvect_1(A, B, C)) &  (v1_funct_2(k9_prvect_1(A, B, C), k2_zfmisc_1(k1_funct_1(A, C), k1_funct_1(A, C)), k1_funct_1(A, C)) & m1_subset_1(k9_prvect_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_funct_1(A, C), k1_funct_1(A, C)), k1_funct_1(A, C))))) ) ) ) ).
fof(redefinition_k9_prvect_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) ) )  &  (m1_prvect_1(B, A) & m1_subset_1(C, k4_finseq_1(A))) )  => k9_prvect_1(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k10_prvect_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) ) )  &  (m2_prvect_1(B, A) & m1_subset_1(C, k4_finseq_1(A))) )  =>  (v1_funct_1(k10_prvect_1(A, B, C)) &  (v1_funct_2(k10_prvect_1(A, B, C), k1_funct_1(A, C), k1_funct_1(A, C)) & m1_subset_1(k10_prvect_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(A, C), k1_funct_1(A, C))))) ) ) ) ).
fof(redefinition_k10_prvect_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) ) )  &  (m2_prvect_1(B, A) & m1_subset_1(C, k4_finseq_1(A))) )  => k10_prvect_1(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k11_prvect_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) ) )  & m2_prvect_1(B, A))  =>  (v1_funct_1(k11_prvect_1(A, B)) &  (v1_funct_2(k11_prvect_1(A, B), k4_card_3(A), k4_card_3(A)) & m1_subset_1(k11_prvect_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_card_3(A), k4_card_3(A))))) ) ) ) ).
fof(redefinition_k11_prvect_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) ) )  & m2_prvect_1(B, A))  => k11_prvect_1(A, B)=k6_funct_6(B)) ) ).
fof(dt_k12_prvect_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) ) )  & m1_prvect_1(B, A))  =>  (v1_funct_1(k12_prvect_1(A, B)) &  (v1_funct_2(k12_prvect_1(A, B), k2_zfmisc_1(k4_card_3(A), k4_card_3(A)), k4_card_3(A)) & m1_subset_1(k12_prvect_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_card_3(A), k4_card_3(A)), k4_card_3(A))))) ) ) ) ).
fof(dt_k13_prvect_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v1_prvect_1(A)) ) ) )  & m1_subset_1(B, k4_finseq_1(A)))  =>  ( ~ (v2_struct_0(k13_prvect_1(A, B)))  & l2_algstr_0(k13_prvect_1(A, B))) ) ) ).
fof(redefinition_k13_prvect_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v1_prvect_1(A)) ) ) )  & m1_subset_1(B, k4_finseq_1(A)))  => k13_prvect_1(A, B)=k1_funct_1(A, B)) ) ).
fof(dt_k14_prvect_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v2_prvect_1(A)) ) ) )  & m1_subset_1(B, k4_finseq_1(A)))  =>  ( ~ (v2_struct_0(k14_prvect_1(A, B)))  &  (v13_algstr_0(k14_prvect_1(A, B)) &  (v2_rlvect_1(k14_prvect_1(A, B)) &  (v3_rlvect_1(k14_prvect_1(A, B)) &  (v4_rlvect_1(k14_prvect_1(A, B)) & l2_algstr_0(k14_prvect_1(A, B))) ) ) ) ) ) ) ).
fof(redefinition_k14_prvect_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v2_prvect_1(A)) ) ) )  & m1_subset_1(B, k4_finseq_1(A)))  => k14_prvect_1(A, B)=k1_funct_1(A, B)) ) ).
fof(dt_k15_prvect_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v1_prvect_1(A)) ) ) )  =>  (v1_relat_1(k15_prvect_1(A)) &  (v2_relat_1(k15_prvect_1(A)) &  (v1_funct_1(k15_prvect_1(A)) &  ( ~ (v1_xboole_0(k15_prvect_1(A)))  & v1_finseq_1(k15_prvect_1(A))) ) ) ) ) ) ).
fof(dt_k16_prvect_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v1_prvect_1(A)) ) ) )  & m1_subset_1(B, k4_finseq_1(k15_prvect_1(A))))  =>  ( ~ (v2_struct_0(k16_prvect_1(A, B)))  & l2_algstr_0(k16_prvect_1(A, B))) ) ) ).
fof(redefinition_k16_prvect_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v1_prvect_1(A)) ) ) )  & m1_subset_1(B, k4_finseq_1(k15_prvect_1(A))))  => k16_prvect_1(A, B)=k1_funct_1(A, B)) ) ).
fof(dt_k17_prvect_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v2_prvect_1(A)) ) ) )  & m1_subset_1(B, k4_finseq_1(k15_prvect_1(A))))  =>  ( ~ (v2_struct_0(k17_prvect_1(A, B)))  &  (v13_algstr_0(k17_prvect_1(A, B)) &  (v2_rlvect_1(k17_prvect_1(A, B)) &  (v3_rlvect_1(k17_prvect_1(A, B)) &  (v4_rlvect_1(k17_prvect_1(A, B)) & l2_algstr_0(k17_prvect_1(A, B))) ) ) ) ) ) ) ).
fof(redefinition_k17_prvect_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v2_prvect_1(A)) ) ) )  & m1_subset_1(B, k4_finseq_1(k15_prvect_1(A))))  => k17_prvect_1(A, B)=k1_funct_1(A, B)) ) ).
fof(dt_k18_prvect_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v1_prvect_1(A)) ) ) )  => m1_prvect_1(k18_prvect_1(A), k15_prvect_1(A))) ) ).
fof(dt_k19_prvect_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v1_prvect_1(A)) ) ) )  => m2_prvect_1(k19_prvect_1(A), k15_prvect_1(A))) ) ).
fof(dt_k20_prvect_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v1_prvect_1(A)) ) ) )  => m1_subset_1(k20_prvect_1(A), k4_card_3(k15_prvect_1(A)))) ) ).
fof(dt_k21_prvect_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v1_prvect_1(A)) ) ) )  =>  ( ~ (v2_struct_0(k21_prvect_1(A)))  &  (v8_algstr_0(k21_prvect_1(A)) & l2_algstr_0(k21_prvect_1(A))) ) ) ) ).
fof(cc1_prvect_2, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) ) )  =>  (! [C] :  (m1_prvect_2(C, A, B) => v1_finseq_1(C)) ) ) ) ).
fof(rc1_prvect_2, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v4_card_3(A) & v1_prvect_2(A)) ) ) ) ) ) ) ) ) ).
fof(fc1_prvect_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v1_prvect_2(A)) ) ) )  =>  ( ~ (v2_struct_0(k10_prvect_2(A)))  &  (v13_algstr_0(k10_prvect_2(A)) &  (v1_rlvect_1(k10_prvect_2(A)) &  (v2_rlvect_1(k10_prvect_2(A)) &  (v3_rlvect_1(k10_prvect_2(A)) &  (v4_rlvect_1(k10_prvect_2(A)) &  (v5_rlvect_1(k10_prvect_2(A)) &  (v6_rlvect_1(k10_prvect_2(A)) &  (v7_rlvect_1(k10_prvect_2(A)) & v8_rlvect_1(k10_prvect_2(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_prvect_2, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v4_card_3(A) & v2_prvect_2(A)) ) ) ) ) ) ) ) ) ).
fof(cc2_prvect_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_prvect_2(A)) ) ) ) ) ).
fof(fc2_prvect_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  ( ~ (v2_struct_0(k14_prvect_2(A)))  &  (v13_algstr_0(k14_prvect_2(A)) &  (v2_rlvect_1(k14_prvect_2(A)) &  (v3_rlvect_1(k14_prvect_2(A)) &  (v4_rlvect_1(k14_prvect_2(A)) &  (v5_rlvect_1(k14_prvect_2(A)) &  (v6_rlvect_1(k14_prvect_2(A)) &  (v7_rlvect_1(k14_prvect_2(A)) &  (v8_rlvect_1(k14_prvect_2(A)) &  (v3_normsp_0(k14_prvect_2(A)) &  (v4_normsp_0(k14_prvect_2(A)) &  (v1_normsp_1(k14_prvect_2(A)) & v2_normsp_1(k14_prvect_2(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_prvect_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  (v1_xreal_0(C) =>  ( (! [D] :  (m1_subset_1(D, k4_ordinal1) => k3_funct_2(k4_ordinal1, k1_numbers, B, D)=k9_complex1(k6_xcmplx_0(k3_funct_2(k4_ordinal1, k1_numbers, A, D), C))) )  =>  ( ( (v2_comseq_2(A) & k1_seq_2(A)=C)  =>  (v2_comseq_2(B) & k1_seq_2(B)=k5_numbers) )  &  ( (v2_comseq_2(B) & k1_seq_2(B)=k5_numbers)  =>  (v2_comseq_2(A) & k1_seq_2(A)=C) ) ) ) ) ) ) ) ) ) ).
fof(t2_prvect_2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  ( (k3_finseq_1(A)=k3_finseq_1(B) &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r2_tarski(C, k2_finseq_1(k3_finseq_1(A))) =>  (r1_xxreal_0(k5_numbers, k1_funct_1(A, C)) & r1_xxreal_0(k1_funct_1(A, C), k1_funct_1(B, C))) ) ) ) )  => r1_xxreal_0(k12_euclid(A), k12_euclid(B))) ) ) ) ) ).
fof(t3_prvect_2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  ( (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (r2_tarski(B, k4_finseq_1(A)) => k1_funct_1(A, B)=k5_numbers) ) )  => k18_rvsum_1(A)=k5_numbers) ) ) ).
fof(d1_prvect_2, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (m1_prvect_2(C, A, B) <=>  (k9_xtuple_0(C)=k9_xtuple_0(A) &  (! [D] :  (r2_tarski(D, k9_xtuple_0(A)) =>  (v1_funct_1(k1_funct_1(C, D)) &  (v1_funct_2(k1_funct_1(C, D), k2_zfmisc_1(B, k1_funct_1(A, D)), k1_funct_1(A, D)) & m1_subset_1(k1_funct_1(C, D), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, k1_funct_1(A, D)), k1_funct_1(A, D))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_prvect_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_finseq_1(B)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (m1_prvect_2(C, B, A) <=>  (k3_finseq_1(C)=k3_finseq_1(B) &  (! [D] :  (r2_tarski(D, k4_finseq_1(B)) =>  (v1_funct_1(k1_funct_1(C, D)) &  (v1_funct_2(k1_funct_1(C, D), k2_zfmisc_1(A, k1_funct_1(B, D)), k1_funct_1(B, D)) & m1_subset_1(k1_funct_1(C, D), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, k1_funct_1(B, D)), k1_funct_1(B, D))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_prvect_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_finseq_1(B)) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, k4_card_3(B)), k4_card_3(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, k4_card_3(B)), k4_card_3(B))))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, k4_card_3(B)), k4_card_3(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, k4_card_3(B)), k4_card_3(B))))) )  =>  ( (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, k4_card_3(B)) =>  (! [G] :  (m2_subset_1(G, k4_ordinal1, k4_finseq_1(B)) => k8_prvect_1(B, k2_binop_1(A, k4_card_3(B), k4_card_3(B), C, E, F), G)=k8_prvect_1(B, k2_binop_1(A, k4_card_3(B), k4_card_3(B), D, E, F), G)) ) ) ) ) )  => r8_binop_1(A, k4_card_3(B), k4_card_3(B), C, D)) ) ) ) ) ) ) ) ) ).
fof(d2_prvect_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) ) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_prvect_2(C, A, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(B, k4_card_3(A)), k4_card_3(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, k4_card_3(A)), k4_card_3(A))))) )  =>  (D=k2_prvect_2(A, B, C) <=>  (! [E] :  (m1_subset_1(E, B) =>  (! [F] :  (m1_subset_1(F, k4_card_3(A)) =>  (! [G] :  (m2_subset_1(G, k4_ordinal1, k4_finseq_1(A)) => k8_prvect_1(A, k2_binop_1(B, k4_card_3(A), k4_card_3(A), D, E, F), G)=k2_binop_1(B, k1_funct_1(A, G), k1_funct_1(A, G), k1_prvect_2(A, B, C, G), E, k8_prvect_1(A, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_prvect_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (v1_prvect_2(A) <=>  (! [B] :  (r2_tarski(B, k10_xtuple_0(A)) =>  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_prvect_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v1_prvect_2(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_finseq_1(B)) ) ) )  =>  (B=k4_prvect_2(A) <=>  (k3_finseq_1(B)=k3_finseq_1(A) &  (! [C] :  (m2_subset_1(C, k4_ordinal1, k4_finseq_1(A)) => k1_funct_1(B, C)=u1_struct_0(k3_prvect_2(A, C))) ) ) ) ) ) ) ) ).
fof(d5_prvect_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v1_prvect_2(A)) ) ) )  =>  (! [B] :  (m1_prvect_1(B, k4_prvect_2(A)) =>  (B=k6_prvect_2(A) <=>  (k3_finseq_1(B)=k3_finseq_1(k4_prvect_2(A)) &  (! [C] :  (m2_subset_1(C, k4_ordinal1, k4_finseq_1(k4_prvect_2(A))) => r1_funct_2(k2_zfmisc_1(k1_funct_1(k4_prvect_2(A), C), k1_funct_1(k4_prvect_2(A), C)), k1_funct_1(k4_prvect_2(A), C), k2_zfmisc_1(u1_struct_0(k5_prvect_2(A, C)), u1_struct_0(k5_prvect_2(A, C))), u1_struct_0(k5_prvect_2(A, C)), k9_prvect_1(k4_prvect_2(A), B, C), u1_algstr_0(k5_prvect_2(A, C)))) ) ) ) ) ) ) ) ).
fof(d6_prvect_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v1_prvect_2(A)) ) ) )  =>  (! [B] :  (m2_prvect_1(B, k4_prvect_2(A)) =>  (B=k7_prvect_2(A) <=>  (k3_finseq_1(B)=k3_finseq_1(k4_prvect_2(A)) &  (! [C] :  (m2_subset_1(C, k4_ordinal1, k4_finseq_1(k4_prvect_2(A))) => r1_funct_2(k1_funct_1(k4_prvect_2(A), C), k1_funct_1(k4_prvect_2(A), C), u1_struct_0(k5_prvect_2(A, C)), u1_struct_0(k5_prvect_2(A, C)), k10_prvect_1(k4_prvect_2(A), B, C), k4_vectsp_1(k5_prvect_2(A, C)))) ) ) ) ) ) ) ) ).
fof(d7_prvect_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v1_prvect_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_card_3(k4_prvect_2(A))) =>  (B=k8_prvect_2(A) <=>  (! [C] :  (m2_subset_1(C, k4_ordinal1, k4_finseq_1(k4_prvect_2(A))) => k8_prvect_1(k4_prvect_2(A), B, C)=u2_struct_0(k5_prvect_2(A, C))) ) ) ) ) ) ) ).
fof(d8_prvect_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v1_prvect_2(A)) ) ) )  =>  (! [B] :  (m1_prvect_2(B, k4_prvect_2(A), k1_numbers) =>  (B=k9_prvect_2(A) <=>  (k3_finseq_1(B)=k3_finseq_1(k4_prvect_2(A)) &  (! [C] :  (m2_subset_1(C, k4_ordinal1, k4_finseq_1(k4_prvect_2(A))) => r1_funct_2(k2_zfmisc_1(k1_numbers, k1_funct_1(k4_prvect_2(A), C)), k1_funct_1(k4_prvect_2(A), C), k2_zfmisc_1(k1_numbers, u1_struct_0(k5_prvect_2(A, C))), u1_struct_0(k5_prvect_2(A, C)), k1_prvect_2(k4_prvect_2(A), k1_numbers, B, C), u1_rlvect_1(k5_prvect_2(A, C)))) ) ) ) ) ) ) ) ).
fof(d9_prvect_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v1_prvect_2(A)) ) ) )  => k10_prvect_2(A)=g1_rlvect_1(k4_card_3(k4_prvect_2(A)), k8_prvect_2(A), k12_prvect_1(k4_prvect_2(A), k6_prvect_2(A)), k2_prvect_2(k4_prvect_2(A), k1_numbers, k9_prvect_2(A)))) ) ).
fof(d10_prvect_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (v2_prvect_2(A) <=>  (! [B] :  (r2_tarski(B, k10_xtuple_0(A)) =>  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_prvect_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_card_3(k4_prvect_2(A))) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(k3_finseq_1(A))) =>  (C=k12_prvect_2(A, B) <=>  (k3_finseq_1(C)=k3_finseq_1(A) &  (! [D] :  (m2_subset_1(D, k4_ordinal1, k4_finseq_1(A)) => k1_funct_1(C, D)=k1_funct_1(u1_normsp_0(k11_prvect_2(A, D)), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ).
fof(d12_prvect_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_card_3(k4_prvect_2(A)), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k4_prvect_2(A)), k1_numbers)))) )  =>  (B=k13_prvect_2(A) <=>  (! [C] :  (m1_subset_1(C, k4_card_3(k4_prvect_2(A))) => k3_funct_2(k4_card_3(k4_prvect_2(A)), k1_numbers, B, C)=k12_euclid(k12_prvect_2(A, C))) ) ) ) ) ) ) ).
fof(d13_prvect_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_normsp_1(B) & l1_normsp_1(B)) )  =>  (B=k14_prvect_2(A) <=>  (g1_rlvect_1(u1_struct_0(B), u2_struct_0(B), u1_algstr_0(B), u1_rlvect_1(B))=k10_prvect_2(A) & r1_funct_2(u1_struct_0(B), k1_numbers, k4_card_3(k4_prvect_2(A)), k1_numbers, u1_normsp_0(B), k13_prvect_2(A))) ) ) ) ) ) ).
fof(t6_prvect_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  => k14_prvect_2(A)=g1_normsp_1(k4_card_3(k4_prvect_2(A)), k8_prvect_2(A), k12_prvect_1(k4_prvect_2(A), k6_prvect_2(A)), k2_prvect_2(k4_prvect_2(A), k1_numbers, k9_prvect_2(A)), k13_prvect_2(A))) ) ).
fof(t7_prvect_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k14_prvect_2(A))) =>  (! [C] :  (m1_subset_1(C, k4_card_3(k4_prvect_2(A))) =>  (B=C => k2_normsp_0(k14_prvect_2(A), B)=k12_euclid(k12_prvect_2(A, C))) ) ) ) ) ) ) ).
fof(t8_prvect_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_card_3(k4_prvect_2(A))) =>  (! [C] :  (m1_subset_1(C, k4_card_3(k4_prvect_2(A))) =>  (! [D] :  (m1_subset_1(D, k4_card_3(k4_prvect_2(A))) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( (r2_tarski(E, k9_xtuple_0(B)) & D=k4_binop_1(k4_card_3(k4_prvect_2(A)), k12_prvect_1(k4_prvect_2(A), k6_prvect_2(A)), B, C))  => r1_xxreal_0(k1_funct_1(k12_prvect_2(A, D), E), k1_funct_1(k7_euclid(k3_finseq_1(A), k12_prvect_2(A, B), k12_prvect_2(A, C)), E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_prvect_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_card_3(k4_prvect_2(A))) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r2_tarski(C, k9_xtuple_0(B)) => r1_xxreal_0(k5_numbers, k1_funct_1(k12_prvect_2(A, B), C))) ) ) ) ) ) ) ).
fof(t10_prvect_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  (m2_subset_1(B, k4_ordinal1, k4_finseq_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_prvect_2(A))) =>  (! [D] :  (m1_subset_1(D, k4_card_3(k4_prvect_2(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k11_prvect_2(A, B))) =>  ( (D=C & E=k1_funct_1(D, B))  => r1_xxreal_0(k2_normsp_0(k11_prvect_2(A, B), E), k2_normsp_0(k14_prvect_2(A), C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_prvect_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  (m2_subset_1(B, k4_ordinal1, k4_finseq_1(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_prvect_2(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_prvect_2(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k11_prvect_2(A, B))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k11_prvect_2(A, B))) =>  (! [G] :  (m1_subset_1(G, k4_card_3(k4_prvect_2(A))) =>  (! [H] :  (m1_subset_1(H, k4_card_3(k4_prvect_2(A))) =>  ( (E=k1_funct_1(G, B) &  (G=C &  (F=k1_funct_1(H, B) & H=D) ) )  => r1_xxreal_0(k2_normsp_0(k11_prvect_2(A, B), k5_algstr_0(k11_prvect_2(A, B), F, E)), k2_normsp_0(k14_prvect_2(A), k5_algstr_0(k14_prvect_2(A), D, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_prvect_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k14_prvect_2(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k14_prvect_2(A)))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_prvect_2(A))) =>  (! [D] :  (m1_subset_1(D, k4_card_3(k4_prvect_2(A))) =>  ( (C=D &  (v3_normsp_1(B, k14_prvect_2(A)) & k5_normsp_1(k14_prvect_2(A), B)=C) )  =>  (! [E] :  (m2_subset_1(E, k4_ordinal1, k4_finseq_1(A)) =>  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, u1_struct_0(k11_prvect_2(A, E))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k11_prvect_2(A, E)))))) )  &  (v3_normsp_1(F, k11_prvect_2(A, E)) &  (k1_funct_1(D, E)=k5_normsp_1(k11_prvect_2(A, E), F) &  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  (? [H] :  (m1_subset_1(H, k4_card_3(k4_prvect_2(A))) &  (H=k1_normsp_0(k14_prvect_2(A), B, G) & k1_normsp_0(k11_prvect_2(A, E), F, G)=k1_funct_1(H, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_prvect_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k14_prvect_2(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k14_prvect_2(A)))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_prvect_2(A))) =>  (! [D] :  (m1_subset_1(D, k4_card_3(k4_prvect_2(A))) =>  ( (C=D &  (! [E] :  (m2_subset_1(E, k4_ordinal1, k4_finseq_1(A)) =>  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k4_ordinal1, u1_struct_0(k11_prvect_2(A, E))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k11_prvect_2(A, E)))))) )  &  (v3_normsp_1(F, k11_prvect_2(A, E)) &  (k1_funct_1(D, E)=k5_normsp_1(k11_prvect_2(A, E), F) &  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  (? [H] :  (m1_subset_1(H, k4_card_3(k4_prvect_2(A))) &  (H=k1_normsp_0(k14_prvect_2(A), B, G) & k1_normsp_0(k11_prvect_2(A, E), F, G)=k1_funct_1(H, E)) ) ) ) ) ) ) ) ) ) ) )  =>  (v3_normsp_1(B, k14_prvect_2(A)) & k5_normsp_1(k14_prvect_2(A), B)=C) ) ) ) ) ) ) ) ) ) ).
fof(t14_prvect_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  ( (! [B] :  (m2_subset_1(B, k4_ordinal1, k4_finseq_1(A)) => v3_lopban_1(k11_prvect_2(A, B))) )  => v3_lopban_1(k14_prvect_2(A))) ) ) ).
fof(dt_m1_prvect_2, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [C] :  (m1_prvect_2(C, A, B) =>  (v1_relat_1(C) & v1_funct_1(C)) ) ) ) ) ).
fof(existence_m1_prvect_2, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (? [C] : m1_prvect_2(C, A, B)) ) ) ).
fof(dt_k1_prvect_2, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) ) )  &  (m1_prvect_2(C, A, B) & m1_subset_1(D, k4_finseq_1(A))) )  =>  (v1_funct_1(k1_prvect_2(A, B, C, D)) &  (v1_funct_2(k1_prvect_2(A, B, C, D), k2_zfmisc_1(B, k1_funct_1(A, D)), k1_funct_1(A, D)) & m1_subset_1(k1_prvect_2(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, k1_funct_1(A, D)), k1_funct_1(A, D))))) ) ) ) ).
fof(redefinition_k1_prvect_2, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) ) )  &  (m1_prvect_2(C, A, B) & m1_subset_1(D, k4_finseq_1(A))) )  => k1_prvect_2(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(dt_k2_prvect_2, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) ) )  &  ( ~ (v1_xboole_0(B))  & m1_prvect_2(C, A, B)) )  =>  (v1_funct_1(k2_prvect_2(A, B, C)) &  (v1_funct_2(k2_prvect_2(A, B, C), k2_zfmisc_1(B, k4_card_3(A)), k4_card_3(A)) & m1_subset_1(k2_prvect_2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, k4_card_3(A)), k4_card_3(A))))) ) ) ) ).
fof(dt_k3_prvect_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v1_prvect_2(A)) ) ) )  & m1_subset_1(B, k4_finseq_1(A)))  =>  ( ~ (v2_struct_0(k3_prvect_2(A, B)))  &  (v13_algstr_0(k3_prvect_2(A, B)) &  (v2_rlvect_1(k3_prvect_2(A, B)) &  (v3_rlvect_1(k3_prvect_2(A, B)) &  (v4_rlvect_1(k3_prvect_2(A, B)) &  (v5_rlvect_1(k3_prvect_2(A, B)) &  (v6_rlvect_1(k3_prvect_2(A, B)) &  (v7_rlvect_1(k3_prvect_2(A, B)) &  (v8_rlvect_1(k3_prvect_2(A, B)) & l1_rlvect_1(k3_prvect_2(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(redefinition_k3_prvect_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v1_prvect_2(A)) ) ) )  & m1_subset_1(B, k4_finseq_1(A)))  => k3_prvect_2(A, B)=k1_funct_1(A, B)) ) ).
fof(dt_k4_prvect_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v1_prvect_2(A)) ) ) )  =>  (v1_relat_1(k4_prvect_2(A)) &  (v2_relat_1(k4_prvect_2(A)) &  (v1_funct_1(k4_prvect_2(A)) &  ( ~ (v1_xboole_0(k4_prvect_2(A)))  & v1_finseq_1(k4_prvect_2(A))) ) ) ) ) ) ).
fof(dt_k5_prvect_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v1_prvect_2(A)) ) ) )  & m1_subset_1(B, k4_finseq_1(k4_prvect_2(A))))  =>  ( ~ (v2_struct_0(k5_prvect_2(A, B)))  &  (v13_algstr_0(k5_prvect_2(A, B)) &  (v2_rlvect_1(k5_prvect_2(A, B)) &  (v3_rlvect_1(k5_prvect_2(A, B)) &  (v4_rlvect_1(k5_prvect_2(A, B)) &  (v5_rlvect_1(k5_prvect_2(A, B)) &  (v6_rlvect_1(k5_prvect_2(A, B)) &  (v7_rlvect_1(k5_prvect_2(A, B)) &  (v8_rlvect_1(k5_prvect_2(A, B)) & l1_rlvect_1(k5_prvect_2(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(redefinition_k5_prvect_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v1_prvect_2(A)) ) ) )  & m1_subset_1(B, k4_finseq_1(k4_prvect_2(A))))  => k5_prvect_2(A, B)=k1_funct_1(A, B)) ) ).
fof(dt_k6_prvect_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v1_prvect_2(A)) ) ) )  => m1_prvect_1(k6_prvect_2(A), k4_prvect_2(A))) ) ).
fof(dt_k7_prvect_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v1_prvect_2(A)) ) ) )  => m2_prvect_1(k7_prvect_2(A), k4_prvect_2(A))) ) ).
fof(dt_k8_prvect_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v1_prvect_2(A)) ) ) )  => m1_subset_1(k8_prvect_2(A), k4_card_3(k4_prvect_2(A)))) ) ).
fof(dt_k9_prvect_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v1_prvect_2(A)) ) ) )  => m1_prvect_2(k9_prvect_2(A), k4_prvect_2(A), k1_numbers)) ) ).
fof(dt_k10_prvect_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v1_prvect_2(A)) ) ) )  =>  ( ~ (v2_struct_0(k10_prvect_2(A)))  &  (v1_rlvect_1(k10_prvect_2(A)) & l1_rlvect_1(k10_prvect_2(A))) ) ) ) ).
fof(dt_k11_prvect_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  & m1_subset_1(B, k4_finseq_1(A)))  =>  ( ~ (v2_struct_0(k11_prvect_2(A, B)))  &  (v13_algstr_0(k11_prvect_2(A, B)) &  (v2_rlvect_1(k11_prvect_2(A, B)) &  (v3_rlvect_1(k11_prvect_2(A, B)) &  (v4_rlvect_1(k11_prvect_2(A, B)) &  (v5_rlvect_1(k11_prvect_2(A, B)) &  (v6_rlvect_1(k11_prvect_2(A, B)) &  (v7_rlvect_1(k11_prvect_2(A, B)) &  (v8_rlvect_1(k11_prvect_2(A, B)) &  (v3_normsp_0(k11_prvect_2(A, B)) &  (v4_normsp_0(k11_prvect_2(A, B)) &  (v2_normsp_1(k11_prvect_2(A, B)) & l1_normsp_1(k11_prvect_2(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(redefinition_k11_prvect_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  & m1_subset_1(B, k4_finseq_1(A)))  => k11_prvect_2(A, B)=k1_funct_1(A, B)) ) ).
fof(dt_k12_prvect_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  & m1_subset_1(B, k4_card_3(k4_prvect_2(A))))  => m2_finseq_2(k12_prvect_2(A, B), k1_numbers, k1_euclid(k3_finseq_1(A)))) ) ).
fof(dt_k13_prvect_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (v1_funct_1(k13_prvect_2(A)) &  (v1_funct_2(k13_prvect_2(A), k4_card_3(k4_prvect_2(A)), k1_numbers) & m1_subset_1(k13_prvect_2(A), k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k4_prvect_2(A)), k1_numbers)))) ) ) ) ).
fof(dt_k14_prvect_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  ( ~ (v2_struct_0(k14_prvect_2(A)))  &  (v1_normsp_1(k14_prvect_2(A)) & l1_normsp_1(k14_prvect_2(A))) ) ) ) ).
fof(fc1_prvect_3, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v2_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v2_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc2_prvect_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) & l2_algstr_0(A)) )  &  ( ~ (v2_struct_0(B))  &  (v2_rlvect_1(B) & l2_algstr_0(B)) ) )  =>  ( ~ (v2_struct_0(k4_prvect_3(A, B)))  &  (v8_algstr_0(k4_prvect_3(A, B)) & v2_rlvect_1(k4_prvect_3(A, B))) ) ) ) ).
fof(fc3_prvect_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) & l2_algstr_0(A)) )  &  ( ~ (v2_struct_0(B))  &  (v3_rlvect_1(B) & l2_algstr_0(B)) ) )  =>  ( ~ (v2_struct_0(k4_prvect_3(A, B)))  &  (v8_algstr_0(k4_prvect_3(A, B)) & v3_rlvect_1(k4_prvect_3(A, B))) ) ) ) ).
fof(fc4_prvect_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_rlvect_1(A) & l2_algstr_0(A)) )  &  ( ~ (v2_struct_0(B))  &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) )  =>  ( ~ (v2_struct_0(k4_prvect_3(A, B)))  &  (v8_algstr_0(k4_prvect_3(A, B)) & v4_rlvect_1(k4_prvect_3(A, B))) ) ) ) ).
fof(fc5_prvect_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) & l2_algstr_0(A)) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) & l2_algstr_0(B)) ) )  =>  ( ~ (v2_struct_0(k4_prvect_3(A, B)))  &  (v8_algstr_0(k4_prvect_3(A, B)) & v13_algstr_0(k4_prvect_3(A, B))) ) ) ) ).
fof(fc6_prvect_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v8_algstr_0(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v8_algstr_0(B) &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k4_prvect_3(A, B)))  &  (v8_algstr_0(k4_prvect_3(A, B)) &  (v13_algstr_0(k4_prvect_3(A, B)) &  (v2_rlvect_1(k4_prvect_3(A, B)) &  (v3_rlvect_1(k4_prvect_3(A, B)) & v4_rlvect_1(k4_prvect_3(A, B))) ) ) ) ) ) ) ).
fof(fc7_prvect_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) & l1_rlvect_1(A)) )  &  ( ~ (v2_struct_0(B))  &  (v2_rlvect_1(B) & l1_rlvect_1(B)) ) )  =>  ( ~ (v2_struct_0(k5_prvect_3(A, B)))  &  (v1_rlvect_1(k5_prvect_3(A, B)) & v2_rlvect_1(k5_prvect_3(A, B))) ) ) ) ).
fof(fc8_prvect_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) & l1_rlvect_1(A)) )  &  ( ~ (v2_struct_0(B))  &  (v3_rlvect_1(B) & l1_rlvect_1(B)) ) )  =>  ( ~ (v2_struct_0(k5_prvect_3(A, B)))  &  (v1_rlvect_1(k5_prvect_3(A, B)) & v3_rlvect_1(k5_prvect_3(A, B))) ) ) ) ).
fof(fc9_prvect_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_rlvect_1(A) & l1_rlvect_1(A)) )  &  ( ~ (v2_struct_0(B))  &  (v4_rlvect_1(B) & l1_rlvect_1(B)) ) )  =>  ( ~ (v2_struct_0(k5_prvect_3(A, B)))  &  (v1_rlvect_1(k5_prvect_3(A, B)) & v4_rlvect_1(k5_prvect_3(A, B))) ) ) ) ).
fof(fc10_prvect_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) & l1_rlvect_1(A)) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) & l1_rlvect_1(B)) ) )  =>  ( ~ (v2_struct_0(k5_prvect_3(A, B)))  &  (v13_algstr_0(k5_prvect_3(A, B)) & v1_rlvect_1(k5_prvect_3(A, B))) ) ) ) ).
fof(fc11_prvect_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v5_rlvect_1(A) & l1_rlvect_1(A)) )  &  ( ~ (v2_struct_0(B))  &  (v5_rlvect_1(B) & l1_rlvect_1(B)) ) )  =>  ( ~ (v2_struct_0(k5_prvect_3(A, B)))  &  (v1_rlvect_1(k5_prvect_3(A, B)) & v5_rlvect_1(k5_prvect_3(A, B))) ) ) ) ).
fof(fc12_prvect_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_rlvect_1(A) & l1_rlvect_1(A)) )  &  ( ~ (v2_struct_0(B))  &  (v6_rlvect_1(B) & l1_rlvect_1(B)) ) )  =>  ( ~ (v2_struct_0(k5_prvect_3(A, B)))  &  (v1_rlvect_1(k5_prvect_3(A, B)) & v6_rlvect_1(k5_prvect_3(A, B))) ) ) ) ).
fof(fc13_prvect_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v7_rlvect_1(A) & l1_rlvect_1(A)) )  &  ( ~ (v2_struct_0(B))  &  (v7_rlvect_1(B) & l1_rlvect_1(B)) ) )  =>  ( ~ (v2_struct_0(k5_prvect_3(A, B)))  &  (v1_rlvect_1(k5_prvect_3(A, B)) & v7_rlvect_1(k5_prvect_3(A, B))) ) ) ) ).
fof(fc14_prvect_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v8_rlvect_1(A) & l1_rlvect_1(A)) )  &  ( ~ (v2_struct_0(B))  &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) )  =>  ( ~ (v2_struct_0(k5_prvect_3(A, B)))  &  (v1_rlvect_1(k5_prvect_3(A, B)) & v8_rlvect_1(k5_prvect_3(A, B))) ) ) ) ).
fof(fc15_prvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  => v1_prvect_2(k5_finseq_1(A))) ) ).
fof(fc16_prvect_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) ) )  => v1_prvect_2(k10_finseq_1(A, B))) ) ).
fof(fc17_prvect_3, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_prvect_2(A)) ) ) )  &  (v1_relat_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_prvect_2(B)) ) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v1_finseq_1(k7_finseq_1(A, B)) & v1_prvect_2(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc18_prvect_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k7_prvect_3(A, B)))  &  (v3_normsp_0(k7_prvect_3(A, B)) &  (v4_normsp_0(k7_prvect_3(A, B)) &  (v1_normsp_1(k7_prvect_3(A, B)) & v2_normsp_1(k7_prvect_3(A, B))) ) ) ) ) ) ).
fof(fc19_prvect_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k7_prvect_3(A, B)))  &  (v13_algstr_0(k7_prvect_3(A, B)) &  (v2_rlvect_1(k7_prvect_3(A, B)) &  (v3_rlvect_1(k7_prvect_3(A, B)) &  (v4_rlvect_1(k7_prvect_3(A, B)) &  (v5_rlvect_1(k7_prvect_3(A, B)) &  (v6_rlvect_1(k7_prvect_3(A, B)) &  (v7_rlvect_1(k7_prvect_3(A, B)) &  (v8_rlvect_1(k7_prvect_3(A, B)) &  (v3_normsp_0(k7_prvect_3(A, B)) &  (v4_normsp_0(k7_prvect_3(A, B)) &  (v1_normsp_1(k7_prvect_3(A, B)) & v2_normsp_1(k7_prvect_3(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc20_prvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  => v2_prvect_2(k5_finseq_1(A))) ) ).
fof(fc21_prvect_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  => v2_prvect_2(k10_finseq_1(A, B))) ) ).
fof(fc22_prvect_3, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  &  (v1_relat_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_finseq_1(B) & v2_prvect_2(B)) ) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  ( ~ (v1_xboole_0(k7_finseq_1(A, B)))  &  (v1_funct_1(k7_finseq_1(A, B)) &  (v1_finseq_1(k7_finseq_1(A, B)) & v2_prvect_2(k7_finseq_1(A, B))) ) ) ) ) ) ).
fof(fc23_prvect_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) &  (v3_lopban_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) &  (v3_lopban_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k7_prvect_3(A, B)))  &  (v1_normsp_1(k7_prvect_3(A, B)) & v3_lopban_1(k7_prvect_3(A, B))) ) ) ) ).
fof(t1_prvect_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(k2_zfmisc_1(A, B), k2_zfmisc_1(C, D)), k2_zfmisc_1(k2_zfmisc_1(A, C), k2_zfmisc_1(B, D))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k2_zfmisc_1(C, D)), k2_zfmisc_1(k2_zfmisc_1(A, C), k2_zfmisc_1(B, D)))))) )  &  (v2_funct_1(E) &  (v2_funct_2(E, k2_zfmisc_1(k2_zfmisc_1(A, C), k2_zfmisc_1(B, D))) &  (! [F] :  (! [G] :  (! [H] :  (! [I] :  ( (r2_tarski(F, A) &  (r2_tarski(G, B) &  (r2_tarski(H, C) & r2_tarski(I, D)) ) )  => k1_binop_1(E, k4_tarski(F, G), k4_tarski(H, I))=k4_tarski(k4_tarski(F, H), k4_tarski(G, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_prvect_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ~ ( (k9_xtuple_0(B)=k6_domain_1(k4_ordinal1, 1) &  (k1_funct_1(B, 1)=A &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k4_card_3(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k4_card_3(B))))) )  =>  ~ ( (v2_funct_1(C) &  (v2_funct_2(C, k4_card_3(B)) &  (! [D] :  (r2_hidden(D, A) => k1_funct_1(C, D)=k9_finseq_1(D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_prvect_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ~ ( (k9_xtuple_0(C)=k7_domain_1(k4_ordinal1, 1, 2) &  (k1_funct_1(C, 1)=A &  (k1_funct_1(C, 2)=B &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), k4_card_3(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k4_card_3(C))))) )  =>  ~ ( (v2_funct_1(D) &  (v2_funct_2(D, k4_card_3(C)) &  (! [E] :  (! [F] :  ( (r2_hidden(E, A) & r2_hidden(F, B))  => k1_binop_1(D, E, F)=k10_finseq_1(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_prvect_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k4_card_3(k9_finseq_1(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_card_3(k9_finseq_1(A)))))) )  &  (v2_funct_1(B) &  (v2_funct_2(B, k4_card_3(k9_finseq_1(A))) &  (! [C] :  (r2_hidden(C, A) => k1_funct_1(B, C)=k9_finseq_1(C)) ) ) ) ) ) ) ) ).
fof(t5_prvect_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k4_card_3(k10_finseq_1(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k4_card_3(k10_finseq_1(A, B)))))) )  &  (v2_funct_1(C) &  (v2_funct_2(C, k4_card_3(k10_finseq_1(A, B))) &  (! [D] :  (! [E] :  ( (r2_hidden(D, A) & r2_hidden(E, B))  => k1_binop_1(C, D, E)=k10_finseq_1(D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_prvect_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) )  =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k4_card_3(A), k4_card_3(B)), k4_card_3(k7_finseq_1(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_card_3(A), k4_card_3(B)), k4_card_3(k7_finseq_1(A, B)))))) )  &  (v2_funct_1(C) &  (v2_funct_2(C, k4_card_3(k7_finseq_1(A, B))) &  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  ( (r2_tarski(D, k4_card_3(A)) & r2_tarski(E, k4_card_3(B)))  => k1_binop_1(C, D, E)=k7_finseq_1(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_prvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_algstr_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))) )  =>  (C=k1_prvect_3(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) => k4_binop_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), C, k1_domain_1(u1_struct_0(A), u1_struct_0(B), D, F), k1_domain_1(u1_struct_0(A), u1_struct_0(B), E, G))=k1_domain_1(u1_struct_0(A), u1_struct_0(B), k1_algstr_0(A, D, E), k1_algstr_0(B, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_prvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_rlvect_1(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k1_numbers, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))) )  =>  (C=k2_prvect_3(A, B) <=>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) => k1_binop_1(C, D, k1_domain_1(u1_struct_0(A), u1_struct_0(B), E, F))=k1_domain_1(u1_struct_0(A), u1_struct_0(B), k1_rlvect_1(A, E, D), k1_rlvect_1(B, F, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_prvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_algstr_0(B))  => k3_prvect_3(A, B)=k1_domain_1(u1_struct_0(A), u1_struct_0(B), k4_struct_0(A), k4_struct_0(B))) ) ) ) ).
fof(d4_prvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_algstr_0(B))  => k4_prvect_3(A, B)=g2_algstr_0(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k1_prvect_3(A, B), k3_prvect_3(A, B))) ) ) ) ).
fof(t7_prvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_algstr_0(B))  =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k4_prvect_3(A, B))) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) & C=k1_domain_1(u1_struct_0(A), u1_struct_0(B), D, E)) ) ) ) ) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k4_prvect_3(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k4_prvect_3(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  ( (C=k1_domain_1(u1_struct_0(A), u1_struct_0(B), E, G) & D=k1_domain_1(u1_struct_0(A), u1_struct_0(B), F, H))  => k1_algstr_0(k4_prvect_3(A, B), C, D)=k1_domain_1(u1_struct_0(A), u1_struct_0(B), k1_algstr_0(A, E, F), k1_algstr_0(B, G, H))) ) ) ) ) ) ) ) ) ) ) ) )  & k4_struct_0(k4_prvect_3(A, B))=k1_domain_1(u1_struct_0(A), u1_struct_0(B), k4_struct_0(A), k4_struct_0(B))) ) ) ) ) ) ).
fof(t8_prvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l2_algstr_0(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_prvect_3(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (C=k1_domain_1(u1_struct_0(A), u1_struct_0(B), D, E) => k4_algstr_0(k4_prvect_3(A, B), C)=k1_domain_1(u1_struct_0(A), u1_struct_0(B), k4_algstr_0(A, D), k4_algstr_0(B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_prvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_rlvect_1(B))  => k5_prvect_3(A, B)=g1_rlvect_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k3_prvect_3(A, B), k1_prvect_3(A, B), k2_prvect_3(A, B))) ) ) ) ).
fof(t9_prvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_rlvect_1(B))  =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k5_prvect_3(A, B))) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) & C=k1_domain_1(u1_struct_0(A), u1_struct_0(B), D, E)) ) ) ) ) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k5_prvect_3(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_prvect_3(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  ( (C=k1_domain_1(u1_struct_0(A), u1_struct_0(B), E, G) & D=k1_domain_1(u1_struct_0(A), u1_struct_0(B), F, H))  => k1_algstr_0(k5_prvect_3(A, B), C, D)=k1_domain_1(u1_struct_0(A), u1_struct_0(B), k1_algstr_0(A, E, F), k1_algstr_0(B, G, H))) ) ) ) ) ) ) ) ) ) ) ) )  &  (k4_struct_0(k5_prvect_3(A, B))=k1_domain_1(u1_struct_0(A), u1_struct_0(B), k4_struct_0(A), k4_struct_0(B)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_prvect_3(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (v1_xreal_0(F) =>  (C=k1_domain_1(u1_struct_0(A), u1_struct_0(B), D, E) => k1_rlvect_1(k5_prvect_3(A, B), C, F)=k1_domain_1(u1_struct_0(A), u1_struct_0(B), k1_rlvect_1(A, D, F), k1_rlvect_1(B, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_prvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l1_rlvect_1(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_rlvect_1(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_prvect_3(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (C=k1_domain_1(u1_struct_0(A), u1_struct_0(B), D, E) => k4_algstr_0(k5_prvect_3(A, B), C)=k1_domain_1(u1_struct_0(A), u1_struct_0(B), k4_algstr_0(A, D), k4_algstr_0(B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_prvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k10_prvect_2(k9_finseq_1(A)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k10_prvect_2(k9_finseq_1(A))))))) )  &  (v2_funct_1(B) &  (v2_funct_2(B, u1_struct_0(k10_prvect_2(k9_finseq_1(A)))) &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(k10_prvect_2(k9_finseq_1(A))), B, C)=k12_finseq_1(u1_struct_0(A), C)) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(k10_prvect_2(k9_finseq_1(A))), B, k3_rlvect_1(A, C, D))=k3_rlvect_1(k10_prvect_2(k9_finseq_1(A)), k3_funct_2(u1_struct_0(A), u1_struct_0(k10_prvect_2(k9_finseq_1(A))), B, C), k3_funct_2(u1_struct_0(A), u1_struct_0(k10_prvect_2(k9_finseq_1(A))), B, D))) ) ) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_numbers) => k3_funct_2(u1_struct_0(A), u1_struct_0(k10_prvect_2(k9_finseq_1(A))), B, k1_rlvect_1(A, C, D))=k1_rlvect_1(k10_prvect_2(k9_finseq_1(A)), k3_funct_2(u1_struct_0(A), u1_struct_0(k10_prvect_2(k9_finseq_1(A))), B, C), D)) ) ) )  & k3_funct_2(u1_struct_0(A), u1_struct_0(k10_prvect_2(k9_finseq_1(A))), B, k4_struct_0(A))=k4_struct_0(k10_prvect_2(k9_finseq_1(A)))) ) ) ) ) ) ) ) ) ).
fof(t12_prvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k5_prvect_3(A, B)), u1_struct_0(k10_prvect_2(k10_finseq_1(A, B)))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_prvect_3(A, B)), u1_struct_0(k10_prvect_2(k10_finseq_1(A, B))))))) )  &  (v2_funct_1(C) &  (v2_funct_2(C, u1_struct_0(k10_prvect_2(k10_finseq_1(A, B)))) &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => k1_binop_1(C, D, E)=k10_finseq_1(D, E)) ) ) )  &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(k5_prvect_3(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_prvect_3(A, B))) => k3_funct_2(u1_struct_0(k5_prvect_3(A, B)), u1_struct_0(k10_prvect_2(k10_finseq_1(A, B))), C, k3_rlvect_1(k5_prvect_3(A, B), D, E))=k3_rlvect_1(k10_prvect_2(k10_finseq_1(A, B)), k3_funct_2(u1_struct_0(k5_prvect_3(A, B)), u1_struct_0(k10_prvect_2(k10_finseq_1(A, B))), C, D), k3_funct_2(u1_struct_0(k5_prvect_3(A, B)), u1_struct_0(k10_prvect_2(k10_finseq_1(A, B))), C, E))) ) ) )  &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(k5_prvect_3(A, B))) =>  (! [E] :  (v1_xreal_0(E) => k3_funct_2(u1_struct_0(k5_prvect_3(A, B)), u1_struct_0(k10_prvect_2(k10_finseq_1(A, B))), C, k1_rlvect_1(k5_prvect_3(A, B), D, E))=k1_rlvect_1(k10_prvect_2(k10_finseq_1(A, B)), k3_funct_2(u1_struct_0(k5_prvect_3(A, B)), u1_struct_0(k10_prvect_2(k10_finseq_1(A, B))), C, D), E)) ) ) )  & k3_funct_2(u1_struct_0(k5_prvect_3(A, B)), u1_struct_0(k10_prvect_2(k10_finseq_1(A, B))), C, k4_struct_0(k5_prvect_3(A, B)))=k4_struct_0(k10_prvect_2(k10_finseq_1(A, B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_prvect_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_prvect_2(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_prvect_2(B)) ) ) )  =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k5_prvect_3(k10_prvect_2(A), k10_prvect_2(B))), u1_struct_0(k10_prvect_2(k7_finseq_1(A, B)))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_prvect_3(k10_prvect_2(A), k10_prvect_2(B))), u1_struct_0(k10_prvect_2(k7_finseq_1(A, B))))))) )  &  (v2_funct_1(C) &  (v2_funct_2(C, u1_struct_0(k10_prvect_2(k7_finseq_1(A, B)))) &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(k10_prvect_2(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k10_prvect_2(B))) =>  (? [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) )  &  (? [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) & v1_finseq_1(G)) )  &  (D=F &  (E=G & k1_binop_1(C, D, E)=k7_finseq_1(F, G)) ) ) ) ) ) ) ) ) )  &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(k5_prvect_3(k10_prvect_2(A), k10_prvect_2(B)))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_prvect_3(k10_prvect_2(A), k10_prvect_2(B)))) => k3_funct_2(u1_struct_0(k5_prvect_3(k10_prvect_2(A), k10_prvect_2(B))), u1_struct_0(k10_prvect_2(k7_finseq_1(A, B))), C, k3_rlvect_1(k5_prvect_3(k10_prvect_2(A), k10_prvect_2(B)), D, E))=k3_rlvect_1(k10_prvect_2(k7_finseq_1(A, B)), k3_funct_2(u1_struct_0(k5_prvect_3(k10_prvect_2(A), k10_prvect_2(B))), u1_struct_0(k10_prvect_2(k7_finseq_1(A, B))), C, D), k3_funct_2(u1_struct_0(k5_prvect_3(k10_prvect_2(A), k10_prvect_2(B))), u1_struct_0(k10_prvect_2(k7_finseq_1(A, B))), C, E))) ) ) )  &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(k5_prvect_3(k10_prvect_2(A), k10_prvect_2(B)))) =>  (! [E] :  (m1_subset_1(E, k1_numbers) => k3_funct_2(u1_struct_0(k5_prvect_3(k10_prvect_2(A), k10_prvect_2(B))), u1_struct_0(k10_prvect_2(k7_finseq_1(A, B))), C, k1_rlvect_1(k5_prvect_3(k10_prvect_2(A), k10_prvect_2(B)), D, E))=k1_rlvect_1(k10_prvect_2(k7_finseq_1(A, B)), k3_funct_2(u1_struct_0(k5_prvect_3(k10_prvect_2(A), k10_prvect_2(B))), u1_struct_0(k10_prvect_2(k7_finseq_1(A, B))), C, D), E)) ) ) )  & k3_funct_2(u1_struct_0(k5_prvect_3(k10_prvect_2(A), k10_prvect_2(B))), u1_struct_0(k10_prvect_2(k7_finseq_1(A, B))), C, k4_struct_0(k5_prvect_3(k10_prvect_2(A), k10_prvect_2(B))))=k4_struct_0(k10_prvect_2(k7_finseq_1(A, B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_prvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k10_prvect_2(k10_finseq_1(A, B)))) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) & C=k10_finseq_1(D, E)) ) ) ) ) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k10_prvect_2(k10_finseq_1(A, B)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k10_prvect_2(k10_finseq_1(A, B)))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  ( (C=k10_finseq_1(E, G) & D=k10_finseq_1(F, H))  => k3_rlvect_1(k10_prvect_2(k10_finseq_1(A, B)), C, D)=k10_finseq_1(k3_rlvect_1(A, E, F), k3_rlvect_1(B, G, H))) ) ) ) ) ) ) ) ) ) ) ) )  &  (k4_struct_0(k10_prvect_2(k10_finseq_1(A, B)))=k10_finseq_1(k4_struct_0(A), k4_struct_0(B)) &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k10_prvect_2(k10_finseq_1(A, B)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (C=k10_finseq_1(D, E) => k4_algstr_0(k10_prvect_2(k10_finseq_1(A, B)), C)=k10_finseq_1(k4_algstr_0(A, D), k4_algstr_0(B, E))) ) ) ) ) ) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(k10_prvect_2(k10_finseq_1(A, B)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (v1_xreal_0(F) =>  (C=k10_finseq_1(D, E) => k1_rlvect_1(k10_prvect_2(k10_finseq_1(A, B)), C, F)=k10_finseq_1(k1_rlvect_1(A, D, F), k1_rlvect_1(B, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_prvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_normsp_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_normsp_1(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k1_numbers)))) )  =>  (C=k6_prvect_3(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (? [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(2)) &  (F=k10_finseq_1(k2_normsp_0(A, D), k2_normsp_0(B, E)) & k2_binop_1(u1_struct_0(A), u1_struct_0(B), k1_numbers, C, D, E)=k12_euclid(F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_prvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_normsp_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_normsp_1(B))  => k7_prvect_3(A, B)=g1_normsp_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k3_prvect_3(A, B), k1_prvect_3(A, B), k2_prvect_3(A, B), k6_prvect_3(A, B))) ) ) ) ).
fof(t15_prvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B)))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))))))) )  &  (v2_funct_1(C) &  (v2_funct_2(C, u1_struct_0(k14_prvect_2(k10_finseq_1(A, B)))) &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => k1_binop_1(C, D, E)=k10_finseq_1(D, E)) ) ) )  &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(k7_prvect_3(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k7_prvect_3(A, B))) => k3_funct_2(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), C, k3_rlvect_1(k7_prvect_3(A, B), D, E))=k3_rlvect_1(k14_prvect_2(k10_finseq_1(A, B)), k3_funct_2(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), C, D), k3_funct_2(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), C, E))) ) ) )  &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(k7_prvect_3(A, B))) =>  (! [E] :  (v1_xreal_0(E) => k3_funct_2(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), C, k1_rlvect_1(k7_prvect_3(A, B), D, E))=k1_rlvect_1(k14_prvect_2(k10_finseq_1(A, B)), k3_funct_2(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), C, D), E)) ) ) )  &  (k4_struct_0(k14_prvect_2(k10_finseq_1(A, B)))=k3_funct_2(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), C, k4_struct_0(k7_prvect_3(A, B))) &  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_prvect_3(A, B))) => k2_normsp_0(k14_prvect_2(k10_finseq_1(A, B)), k3_funct_2(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k14_prvect_2(k10_finseq_1(A, B))), C, D))=k2_normsp_0(k7_prvect_3(A, B), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_prvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k14_prvect_2(k9_finseq_1(A)))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k14_prvect_2(k9_finseq_1(A))))))) )  &  (v2_funct_1(B) &  (v2_funct_2(B, u1_struct_0(k14_prvect_2(k9_finseq_1(A)))) &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(k14_prvect_2(k9_finseq_1(A))), B, C)=k12_finseq_1(u1_struct_0(A), C)) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(k14_prvect_2(k9_finseq_1(A))), B, k3_rlvect_1(A, C, D))=k3_rlvect_1(k14_prvect_2(k9_finseq_1(A)), k3_funct_2(u1_struct_0(A), u1_struct_0(k14_prvect_2(k9_finseq_1(A))), B, C), k3_funct_2(u1_struct_0(A), u1_struct_0(k14_prvect_2(k9_finseq_1(A))), B, D))) ) ) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_numbers) => k3_funct_2(u1_struct_0(A), u1_struct_0(k14_prvect_2(k9_finseq_1(A))), B, k1_rlvect_1(A, C, D))=k1_rlvect_1(k14_prvect_2(k9_finseq_1(A)), k3_funct_2(u1_struct_0(A), u1_struct_0(k14_prvect_2(k9_finseq_1(A))), B, C), D)) ) ) )  &  (k4_struct_0(k14_prvect_2(k9_finseq_1(A)))=k3_funct_2(u1_struct_0(A), u1_struct_0(k14_prvect_2(k9_finseq_1(A))), B, k4_struct_0(A)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_normsp_0(k14_prvect_2(k9_finseq_1(A)), k3_funct_2(u1_struct_0(A), u1_struct_0(k14_prvect_2(k9_finseq_1(A))), B, C))=k2_normsp_0(A, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_prvect_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_finseq_1(B) & v2_prvect_2(B)) ) ) )  =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k7_prvect_3(k14_prvect_2(A), k14_prvect_2(B))), u1_struct_0(k14_prvect_2(k7_finseq_1(A, B)))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(k14_prvect_2(A), k14_prvect_2(B))), u1_struct_0(k14_prvect_2(k7_finseq_1(A, B))))))) )  &  (v2_funct_1(C) &  (v2_funct_2(C, u1_struct_0(k14_prvect_2(k7_finseq_1(A, B)))) &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(k14_prvect_2(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k14_prvect_2(B))) =>  (? [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) )  &  (? [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) & v1_finseq_1(G)) )  &  (D=F &  (E=G & k1_binop_1(C, D, E)=k7_finseq_1(F, G)) ) ) ) ) ) ) ) ) )  &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(k7_prvect_3(k14_prvect_2(A), k14_prvect_2(B)))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k7_prvect_3(k14_prvect_2(A), k14_prvect_2(B)))) => k3_funct_2(u1_struct_0(k7_prvect_3(k14_prvect_2(A), k14_prvect_2(B))), u1_struct_0(k14_prvect_2(k7_finseq_1(A, B))), C, k3_rlvect_1(k7_prvect_3(k14_prvect_2(A), k14_prvect_2(B)), D, E))=k3_rlvect_1(k14_prvect_2(k7_finseq_1(A, B)), k3_funct_2(u1_struct_0(k7_prvect_3(k14_prvect_2(A), k14_prvect_2(B))), u1_struct_0(k14_prvect_2(k7_finseq_1(A, B))), C, D), k3_funct_2(u1_struct_0(k7_prvect_3(k14_prvect_2(A), k14_prvect_2(B))), u1_struct_0(k14_prvect_2(k7_finseq_1(A, B))), C, E))) ) ) )  &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(k7_prvect_3(k14_prvect_2(A), k14_prvect_2(B)))) =>  (! [E] :  (m1_subset_1(E, k1_numbers) => k3_funct_2(u1_struct_0(k7_prvect_3(k14_prvect_2(A), k14_prvect_2(B))), u1_struct_0(k14_prvect_2(k7_finseq_1(A, B))), C, k1_rlvect_1(k7_prvect_3(k14_prvect_2(A), k14_prvect_2(B)), D, E))=k1_rlvect_1(k14_prvect_2(k7_finseq_1(A, B)), k3_funct_2(u1_struct_0(k7_prvect_3(k14_prvect_2(A), k14_prvect_2(B))), u1_struct_0(k14_prvect_2(k7_finseq_1(A, B))), C, D), E)) ) ) )  &  (k3_funct_2(u1_struct_0(k7_prvect_3(k14_prvect_2(A), k14_prvect_2(B))), u1_struct_0(k14_prvect_2(k7_finseq_1(A, B))), C, k4_struct_0(k7_prvect_3(k14_prvect_2(A), k14_prvect_2(B))))=k4_struct_0(k14_prvect_2(k7_finseq_1(A, B))) &  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_prvect_3(k14_prvect_2(A), k14_prvect_2(B)))) => k2_normsp_0(k14_prvect_2(k7_finseq_1(A, B)), k3_funct_2(u1_struct_0(k7_prvect_3(k14_prvect_2(A), k14_prvect_2(B))), u1_struct_0(k14_prvect_2(k7_finseq_1(A, B))), C, D))=k2_normsp_0(k7_prvect_3(k14_prvect_2(A), k14_prvect_2(B)), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_prvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k7_prvect_3(A, B))) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) & C=k1_domain_1(u1_struct_0(A), u1_struct_0(B), D, E)) ) ) ) ) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k7_prvect_3(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_prvect_3(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  ( (C=k1_domain_1(u1_struct_0(A), u1_struct_0(B), E, G) & D=k1_domain_1(u1_struct_0(A), u1_struct_0(B), F, H))  => k3_rlvect_1(k7_prvect_3(A, B), C, D)=k1_domain_1(u1_struct_0(A), u1_struct_0(B), k3_rlvect_1(A, E, F), k3_rlvect_1(B, G, H))) ) ) ) ) ) ) ) ) ) ) ) )  &  (k4_struct_0(k7_prvect_3(A, B))=k1_domain_1(u1_struct_0(A), u1_struct_0(B), k4_struct_0(A), k4_struct_0(B)) &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k7_prvect_3(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (C=k1_domain_1(u1_struct_0(A), u1_struct_0(B), D, E) => k4_algstr_0(k7_prvect_3(A, B), C)=k1_domain_1(u1_struct_0(A), u1_struct_0(B), k4_algstr_0(A, D), k4_algstr_0(B, E))) ) ) ) ) ) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k7_prvect_3(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (v1_xreal_0(F) =>  (C=k1_domain_1(u1_struct_0(A), u1_struct_0(B), D, E) => k1_rlvect_1(k7_prvect_3(A, B), C, F)=k1_domain_1(u1_struct_0(A), u1_struct_0(B), k1_rlvect_1(A, D, F), k1_rlvect_1(B, E, F))) ) ) ) ) ) ) ) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_prvect_3(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  ~ ( (C=k1_domain_1(u1_struct_0(A), u1_struct_0(B), D, E) &  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(2)) =>  ~ ( (F=k10_finseq_1(k2_normsp_0(A, D), k2_normsp_0(B, E)) & k2_normsp_0(k7_prvect_3(A, B), C)=k12_euclid(F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_prvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k14_prvect_2(k10_finseq_1(A, B)))) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) & C=k10_finseq_1(D, E)) ) ) ) ) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k14_prvect_2(k10_finseq_1(A, B)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_prvect_2(k10_finseq_1(A, B)))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  ( (C=k10_finseq_1(E, G) & D=k10_finseq_1(F, H))  => k3_rlvect_1(k14_prvect_2(k10_finseq_1(A, B)), C, D)=k10_finseq_1(k3_rlvect_1(A, E, F), k3_rlvect_1(B, G, H))) ) ) ) ) ) ) ) ) ) ) ) )  &  (k4_struct_0(k14_prvect_2(k10_finseq_1(A, B)))=k10_finseq_1(k4_struct_0(A), k4_struct_0(B)) &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k14_prvect_2(k10_finseq_1(A, B)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (C=k10_finseq_1(D, E) => k4_algstr_0(k14_prvect_2(k10_finseq_1(A, B)), C)=k10_finseq_1(k4_algstr_0(A, D), k4_algstr_0(B, E))) ) ) ) ) ) )  &  ( (! [C] :  (m1_subset_1(C, u1_struct_0(k14_prvect_2(k10_finseq_1(A, B)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (v1_xreal_0(F) =>  (C=k10_finseq_1(D, E) => k1_rlvect_1(k14_prvect_2(k10_finseq_1(A, B)), C, F)=k10_finseq_1(k1_rlvect_1(A, D, F), k1_rlvect_1(B, E, F))) ) ) ) ) ) ) ) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_prvect_2(k10_finseq_1(A, B)))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  ~ ( (C=k10_finseq_1(D, E) &  (! [F] :  (m2_finseq_2(F, k1_numbers, k1_euclid(2)) =>  ~ ( (F=k10_finseq_1(k2_normsp_0(A, D), k2_normsp_0(B, E)) & k2_normsp_0(k14_prvect_2(k10_finseq_1(A, B)), C)=k12_euclid(F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_prvect_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_finseq_1(B) & v2_prvect_2(B)) ) ) )  =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k14_prvect_2(k10_finseq_1(k14_prvect_2(A), k14_prvect_2(B)))), u1_struct_0(k14_prvect_2(k7_finseq_1(A, B)))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(k10_finseq_1(k14_prvect_2(A), k14_prvect_2(B)))), u1_struct_0(k14_prvect_2(k7_finseq_1(A, B))))))) )  &  (v2_funct_1(C) &  (v2_funct_2(C, u1_struct_0(k14_prvect_2(k7_finseq_1(A, B)))) &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(k14_prvect_2(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k14_prvect_2(B))) =>  (? [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) )  &  (? [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) & v1_finseq_1(G)) )  &  (D=F &  (E=G & k1_funct_1(C, k10_finseq_1(D, E))=k7_finseq_1(F, G)) ) ) ) ) ) ) ) ) )  &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(k14_prvect_2(k10_finseq_1(k14_prvect_2(A), k14_prvect_2(B))))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k14_prvect_2(k10_finseq_1(k14_prvect_2(A), k14_prvect_2(B))))) => k3_funct_2(u1_struct_0(k14_prvect_2(k10_finseq_1(k14_prvect_2(A), k14_prvect_2(B)))), u1_struct_0(k14_prvect_2(k7_finseq_1(A, B))), C, k3_rlvect_1(k14_prvect_2(k10_finseq_1(k14_prvect_2(A), k14_prvect_2(B))), D, E))=k3_rlvect_1(k14_prvect_2(k7_finseq_1(A, B)), k3_funct_2(u1_struct_0(k14_prvect_2(k10_finseq_1(k14_prvect_2(A), k14_prvect_2(B)))), u1_struct_0(k14_prvect_2(k7_finseq_1(A, B))), C, D), k3_funct_2(u1_struct_0(k14_prvect_2(k10_finseq_1(k14_prvect_2(A), k14_prvect_2(B)))), u1_struct_0(k14_prvect_2(k7_finseq_1(A, B))), C, E))) ) ) )  &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(k14_prvect_2(k10_finseq_1(k14_prvect_2(A), k14_prvect_2(B))))) =>  (! [E] :  (m1_subset_1(E, k1_numbers) => k3_funct_2(u1_struct_0(k14_prvect_2(k10_finseq_1(k14_prvect_2(A), k14_prvect_2(B)))), u1_struct_0(k14_prvect_2(k7_finseq_1(A, B))), C, k1_rlvect_1(k14_prvect_2(k10_finseq_1(k14_prvect_2(A), k14_prvect_2(B))), D, E))=k1_rlvect_1(k14_prvect_2(k7_finseq_1(A, B)), k3_funct_2(u1_struct_0(k14_prvect_2(k10_finseq_1(k14_prvect_2(A), k14_prvect_2(B)))), u1_struct_0(k14_prvect_2(k7_finseq_1(A, B))), C, D), E)) ) ) )  &  (k3_funct_2(u1_struct_0(k14_prvect_2(k10_finseq_1(k14_prvect_2(A), k14_prvect_2(B)))), u1_struct_0(k14_prvect_2(k7_finseq_1(A, B))), C, k4_struct_0(k14_prvect_2(k10_finseq_1(k14_prvect_2(A), k14_prvect_2(B)))))=k4_struct_0(k14_prvect_2(k7_finseq_1(A, B))) &  (! [D] :  (m1_subset_1(D, u1_struct_0(k14_prvect_2(k10_finseq_1(k14_prvect_2(A), k14_prvect_2(B))))) => k2_normsp_0(k14_prvect_2(k7_finseq_1(A, B)), k3_funct_2(u1_struct_0(k14_prvect_2(k10_finseq_1(k14_prvect_2(A), k14_prvect_2(B)))), u1_struct_0(k14_prvect_2(k7_finseq_1(A, B))), C, D))=k2_normsp_0(k14_prvect_2(k10_finseq_1(k14_prvect_2(A), k14_prvect_2(B))), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_prvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k5_prvect_3(A, B)), u1_struct_0(k5_prvect_3(A, k10_prvect_2(k9_finseq_1(B))))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_prvect_3(A, B)), u1_struct_0(k5_prvect_3(A, k10_prvect_2(k9_finseq_1(B)))))))) )  &  (v2_funct_1(C) &  (v2_funct_2(C, u1_struct_0(k5_prvect_3(A, k10_prvect_2(k9_finseq_1(B))))) &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => k1_binop_1(C, D, E)=k1_domain_1(u1_struct_0(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))), D, k12_finseq_1(u1_struct_0(B), E))) ) ) )  &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(k5_prvect_3(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_prvect_3(A, B))) => k3_funct_2(u1_struct_0(k5_prvect_3(A, B)), u1_struct_0(k5_prvect_3(A, k10_prvect_2(k9_finseq_1(B)))), C, k3_rlvect_1(k5_prvect_3(A, B), D, E))=k3_rlvect_1(k5_prvect_3(A, k10_prvect_2(k9_finseq_1(B))), k3_funct_2(u1_struct_0(k5_prvect_3(A, B)), u1_struct_0(k5_prvect_3(A, k10_prvect_2(k9_finseq_1(B)))), C, D), k3_funct_2(u1_struct_0(k5_prvect_3(A, B)), u1_struct_0(k5_prvect_3(A, k10_prvect_2(k9_finseq_1(B)))), C, E))) ) ) )  &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(k5_prvect_3(A, B))) =>  (! [E] :  (m1_subset_1(E, k1_numbers) => k3_funct_2(u1_struct_0(k5_prvect_3(A, B)), u1_struct_0(k5_prvect_3(A, k10_prvect_2(k9_finseq_1(B)))), C, k1_rlvect_1(k5_prvect_3(A, B), D, E))=k1_rlvect_1(k5_prvect_3(A, k10_prvect_2(k9_finseq_1(B))), k3_funct_2(u1_struct_0(k5_prvect_3(A, B)), u1_struct_0(k5_prvect_3(A, k10_prvect_2(k9_finseq_1(B)))), C, D), E)) ) ) )  & k3_funct_2(u1_struct_0(k5_prvect_3(A, B)), u1_struct_0(k5_prvect_3(A, k10_prvect_2(k9_finseq_1(B)))), C, k4_struct_0(k5_prvect_3(A, B)))=k4_struct_0(k5_prvect_3(A, k10_prvect_2(k9_finseq_1(B))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_prvect_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_prvect_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k5_prvect_3(k10_prvect_2(A), B)), u1_struct_0(k10_prvect_2(k7_finseq_1(A, k9_finseq_1(B))))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_prvect_3(k10_prvect_2(A), B)), u1_struct_0(k10_prvect_2(k7_finseq_1(A, k9_finseq_1(B)))))))) )  &  (v2_funct_1(C) &  (v2_funct_2(C, u1_struct_0(k10_prvect_2(k7_finseq_1(A, k9_finseq_1(B))))) &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(k10_prvect_2(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (? [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) )  &  (? [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) & v1_finseq_1(G)) )  &  (D=F &  (k12_finseq_1(u1_struct_0(B), E)=G & k1_binop_1(C, D, E)=k7_finseq_1(F, G)) ) ) ) ) ) ) ) ) )  &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(k5_prvect_3(k10_prvect_2(A), B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k5_prvect_3(k10_prvect_2(A), B))) => k3_funct_2(u1_struct_0(k5_prvect_3(k10_prvect_2(A), B)), u1_struct_0(k10_prvect_2(k7_finseq_1(A, k9_finseq_1(B)))), C, k3_rlvect_1(k5_prvect_3(k10_prvect_2(A), B), D, E))=k3_rlvect_1(k10_prvect_2(k7_finseq_1(A, k9_finseq_1(B))), k3_funct_2(u1_struct_0(k5_prvect_3(k10_prvect_2(A), B)), u1_struct_0(k10_prvect_2(k7_finseq_1(A, k9_finseq_1(B)))), C, D), k3_funct_2(u1_struct_0(k5_prvect_3(k10_prvect_2(A), B)), u1_struct_0(k10_prvect_2(k7_finseq_1(A, k9_finseq_1(B)))), C, E))) ) ) )  &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(k5_prvect_3(k10_prvect_2(A), B))) =>  (! [E] :  (m1_subset_1(E, k1_numbers) => k3_funct_2(u1_struct_0(k5_prvect_3(k10_prvect_2(A), B)), u1_struct_0(k10_prvect_2(k7_finseq_1(A, k9_finseq_1(B)))), C, k1_rlvect_1(k5_prvect_3(k10_prvect_2(A), B), D, E))=k1_rlvect_1(k10_prvect_2(k7_finseq_1(A, k9_finseq_1(B))), k3_funct_2(u1_struct_0(k5_prvect_3(k10_prvect_2(A), B)), u1_struct_0(k10_prvect_2(k7_finseq_1(A, k9_finseq_1(B)))), C, D), E)) ) ) )  & k3_funct_2(u1_struct_0(k5_prvect_3(k10_prvect_2(A), B)), u1_struct_0(k10_prvect_2(k7_finseq_1(A, k9_finseq_1(B)))), C, k4_struct_0(k5_prvect_3(k10_prvect_2(A), B)))=k4_struct_0(k10_prvect_2(k7_finseq_1(A, k9_finseq_1(B))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_prvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k7_prvect_3(A, k14_prvect_2(k9_finseq_1(B))))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k7_prvect_3(A, k14_prvect_2(k9_finseq_1(B)))))))) )  &  (v2_funct_1(C) &  (v2_funct_2(C, u1_struct_0(k7_prvect_3(A, k14_prvect_2(k9_finseq_1(B))))) &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => k1_binop_1(C, D, E)=k1_domain_1(u1_struct_0(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))), D, k12_finseq_1(u1_struct_0(B), E))) ) ) )  &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(k7_prvect_3(A, B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k7_prvect_3(A, B))) => k3_funct_2(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k7_prvect_3(A, k14_prvect_2(k9_finseq_1(B)))), C, k3_rlvect_1(k7_prvect_3(A, B), D, E))=k3_rlvect_1(k7_prvect_3(A, k14_prvect_2(k9_finseq_1(B))), k3_funct_2(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k7_prvect_3(A, k14_prvect_2(k9_finseq_1(B)))), C, D), k3_funct_2(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k7_prvect_3(A, k14_prvect_2(k9_finseq_1(B)))), C, E))) ) ) )  &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(k7_prvect_3(A, B))) =>  (! [E] :  (m1_subset_1(E, k1_numbers) => k3_funct_2(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k7_prvect_3(A, k14_prvect_2(k9_finseq_1(B)))), C, k1_rlvect_1(k7_prvect_3(A, B), D, E))=k1_rlvect_1(k7_prvect_3(A, k14_prvect_2(k9_finseq_1(B))), k3_funct_2(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k7_prvect_3(A, k14_prvect_2(k9_finseq_1(B)))), C, D), E)) ) ) )  &  (k3_funct_2(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k7_prvect_3(A, k14_prvect_2(k9_finseq_1(B)))), C, k4_struct_0(k7_prvect_3(A, B)))=k4_struct_0(k7_prvect_3(A, k14_prvect_2(k9_finseq_1(B)))) &  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_prvect_3(A, B))) => k2_normsp_0(k7_prvect_3(A, k14_prvect_2(k9_finseq_1(B))), k3_funct_2(u1_struct_0(k7_prvect_3(A, B)), u1_struct_0(k7_prvect_3(A, k14_prvect_2(k9_finseq_1(B)))), C, D))=k2_normsp_0(k7_prvect_3(A, B), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_prvect_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finseq_1(A) & v2_prvect_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k7_prvect_3(k14_prvect_2(A), B)), u1_struct_0(k14_prvect_2(k7_finseq_1(A, k9_finseq_1(B))))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(k14_prvect_2(A), B)), u1_struct_0(k14_prvect_2(k7_finseq_1(A, k9_finseq_1(B)))))))) )  &  (v2_funct_1(C) &  (v2_funct_2(C, u1_struct_0(k14_prvect_2(k7_finseq_1(A, k9_finseq_1(B))))) &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(k14_prvect_2(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (? [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) )  &  (? [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) & v1_finseq_1(G)) )  &  (D=F &  (k12_finseq_1(u1_struct_0(B), E)=G & k1_binop_1(C, D, E)=k7_finseq_1(F, G)) ) ) ) ) ) ) ) ) )  &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(k7_prvect_3(k14_prvect_2(A), B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k7_prvect_3(k14_prvect_2(A), B))) => k3_funct_2(u1_struct_0(k7_prvect_3(k14_prvect_2(A), B)), u1_struct_0(k14_prvect_2(k7_finseq_1(A, k9_finseq_1(B)))), C, k3_rlvect_1(k7_prvect_3(k14_prvect_2(A), B), D, E))=k3_rlvect_1(k14_prvect_2(k7_finseq_1(A, k9_finseq_1(B))), k3_funct_2(u1_struct_0(k7_prvect_3(k14_prvect_2(A), B)), u1_struct_0(k14_prvect_2(k7_finseq_1(A, k9_finseq_1(B)))), C, D), k3_funct_2(u1_struct_0(k7_prvect_3(k14_prvect_2(A), B)), u1_struct_0(k14_prvect_2(k7_finseq_1(A, k9_finseq_1(B)))), C, E))) ) ) )  &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(k7_prvect_3(k14_prvect_2(A), B))) =>  (! [E] :  (m1_subset_1(E, k1_numbers) => k3_funct_2(u1_struct_0(k7_prvect_3(k14_prvect_2(A), B)), u1_struct_0(k14_prvect_2(k7_finseq_1(A, k9_finseq_1(B)))), C, k1_rlvect_1(k7_prvect_3(k14_prvect_2(A), B), D, E))=k1_rlvect_1(k14_prvect_2(k7_finseq_1(A, k9_finseq_1(B))), k3_funct_2(u1_struct_0(k7_prvect_3(k14_prvect_2(A), B)), u1_struct_0(k14_prvect_2(k7_finseq_1(A, k9_finseq_1(B)))), C, D), E)) ) ) )  &  (k3_funct_2(u1_struct_0(k7_prvect_3(k14_prvect_2(A), B)), u1_struct_0(k14_prvect_2(k7_finseq_1(A, k9_finseq_1(B)))), C, k4_struct_0(k7_prvect_3(k14_prvect_2(A), B)))=k4_struct_0(k14_prvect_2(k7_finseq_1(A, k9_finseq_1(B)))) &  (! [D] :  (m1_subset_1(D, u1_struct_0(k7_prvect_3(k14_prvect_2(A), B))) => k2_normsp_0(k14_prvect_2(k7_finseq_1(A, k9_finseq_1(B))), k3_funct_2(u1_struct_0(k7_prvect_3(k14_prvect_2(A), B)), u1_struct_0(k14_prvect_2(k7_finseq_1(A, k9_finseq_1(B)))), C, D))=k2_normsp_0(k7_prvect_3(k14_prvect_2(A), B), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_prvect_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  ( ~ (v2_struct_0(B))  & l2_algstr_0(B)) )  =>  (v1_funct_1(k1_prvect_3(A, B)) &  (v1_funct_2(k1_prvect_3(A, B), k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))) & m1_subset_1(k1_prvect_3(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))) ) ) ) ).
fof(dt_k2_prvect_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  &  ( ~ (v2_struct_0(B))  & l1_rlvect_1(B)) )  =>  (v1_funct_1(k2_prvect_3(A, B)) &  (v1_funct_2(k2_prvect_3(A, B), k2_zfmisc_1(k1_numbers, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))) & m1_subset_1(k2_prvect_3(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))) ) ) ) ).
fof(dt_k3_prvect_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  ( ~ (v2_struct_0(B))  & l2_algstr_0(B)) )  => m1_subset_1(k3_prvect_3(A, B), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) ) ).
fof(dt_k4_prvect_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  ( ~ (v2_struct_0(B))  & l2_algstr_0(B)) )  =>  ( ~ (v2_struct_0(k4_prvect_3(A, B)))  &  (v8_algstr_0(k4_prvect_3(A, B)) & l2_algstr_0(k4_prvect_3(A, B))) ) ) ) ).
fof(dt_k5_prvect_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  &  ( ~ (v2_struct_0(B))  & l1_rlvect_1(B)) )  =>  ( ~ (v2_struct_0(k5_prvect_3(A, B)))  &  (v1_rlvect_1(k5_prvect_3(A, B)) & l1_rlvect_1(k5_prvect_3(A, B))) ) ) ) ).
fof(dt_k6_prvect_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_normsp_1(A))  &  ( ~ (v2_struct_0(B))  & l1_normsp_1(B)) )  =>  (v1_funct_1(k6_prvect_3(A, B)) &  (v1_funct_2(k6_prvect_3(A, B), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k1_numbers) & m1_subset_1(k6_prvect_3(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k1_numbers)))) ) ) ) ).
fof(dt_k7_prvect_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_normsp_1(A))  &  ( ~ (v2_struct_0(B))  & l1_normsp_1(B)) )  =>  ( ~ (v2_struct_0(k7_prvect_3(A, B)))  &  (v1_normsp_1(k7_prvect_3(A, B)) & l1_normsp_1(k7_prvect_3(A, B))) ) ) ) ).
fof(rc1_pscomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v5_relat_1(B, k1_numbers) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) & v1_comseq_2(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_pscomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v5_relat_1(B, k1_numbers) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) & v1_pscomp_1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_pscomp_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ~ (v2_struct_0(B))  & m1_pre_topc(B, A)) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_numbers))) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v5_relat_1(C, k1_numbers) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(B)) &  (v1_funct_2(C, u1_struct_0(B), k1_numbers) &  (v1_valued_0(C) &  (v2_valued_0(C) &  (v3_valued_0(C) & v1_pscomp_1(C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_pscomp_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v1_pscomp_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (v1_funct_1(k5_relat_1(B, C)) &  (v1_funct_2(k5_relat_1(B, C), u1_struct_0(k1_pre_topc(A, C)), k1_numbers) & v1_pscomp_1(k5_relat_1(B, C), k1_pre_topc(A, C))) ) ) ) ).
fof(fc2_pscomp_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v1_pre_topc(k1_pre_topc(A, B)) & v1_compts_1(k1_pre_topc(A, B))) ) ) ).
fof(cc1_pscomp_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v1_compts_1(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v2_pscomp_1(A)) ) ) ) ) ).
fof(rc4_pscomp_1, axiom,  (? [A] :  (l1_pre_topc(A) &  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v1_compts_1(A)) ) ) ) ).
fof(cc2_pscomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v2_pscomp_1(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & v1_pscomp_1(B, A)) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v5_measure6(B, u1_struct_0(A)) &  (v6_measure6(B, u1_struct_0(A)) & v1_comseq_2(B)) ) ) ) ) ) ) ) ) ).
fof(fc3_pscomp_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k4_ordinal1) &  ( (v2_compts_1(B, k15_euclid(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  &  (v2_compts_1(C, k15_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A))))) ) )  => v2_compts_1(k3_xboole_0(B, C), k15_euclid(A))) ) ).
fof(fc4_pscomp_1, axiom,  (v1_funct_1(k4_pscomp_1) &  (v1_funct_2(k4_pscomp_1, u1_struct_0(k15_euclid(2)), k1_numbers) & v1_pscomp_1(k4_pscomp_1, k15_euclid(2))) ) ).
fof(fc5_pscomp_1, axiom,  (v1_funct_1(k5_pscomp_1) &  (v1_funct_2(k5_pscomp_1, u1_struct_0(k15_euclid(2)), k1_numbers) & v1_pscomp_1(k5_pscomp_1, k15_euclid(2))) ) ).
fof(fc6_pscomp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ( ~ (v1_xboole_0(k14_pscomp_1(A)))  & v2_compts_1(k14_pscomp_1(A), k15_euclid(2))) ) ) ).
fof(fc7_pscomp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ( ~ (v1_xboole_0(k15_pscomp_1(A)))  & v2_compts_1(k15_pscomp_1(A), k15_euclid(2))) ) ) ).
fof(fc8_pscomp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ( ~ (v1_xboole_0(k16_pscomp_1(A)))  & v2_compts_1(k16_pscomp_1(A), k15_euclid(2))) ) ) ).
fof(fc9_pscomp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ( ~ (v1_xboole_0(k17_pscomp_1(A)))  & v2_compts_1(k17_pscomp_1(A), k15_euclid(2))) ) ) ).
fof(d1_pscomp_1, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  => k1_pscomp_1(A, B)=k3_seq_4(k7_relset_1(u1_struct_0(A), k1_numbers, B, u1_struct_0(A)))) ) ) ) ).
fof(d2_pscomp_1, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  => k2_pscomp_1(A, B)=k2_seq_4(k7_relset_1(u1_struct_0(A), k1_numbers, B, u1_struct_0(A)))) ) ) ) ).
fof(t1_pscomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_seq_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_xxreal_0(k1_pscomp_1(A, B), k3_funct_2(u1_struct_0(A), k1_numbers, B, C))) ) ) ) ) ) ).
fof(t2_pscomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v2_seq_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) )  =>  (! [C] :  (v1_xreal_0(C) =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_xxreal_0(C, k3_funct_2(u1_struct_0(A), k1_numbers, B, D))) )  => r1_xxreal_0(C, k1_pscomp_1(A, B))) ) ) ) ) ) ) ).
fof(t3_pscomp_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_numbers)))) )  =>  ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => r1_xxreal_0(A, k3_funct_2(u1_struct_0(B), k1_numbers, C, D))) )  &  (! [D] :  (v1_xreal_0(D) =>  ( (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => r1_xxreal_0(D, k3_funct_2(u1_struct_0(B), k1_numbers, C, E))) )  => r1_xxreal_0(D, A)) ) ) )  => A=k1_pscomp_1(B, C)) ) ) ) ) ) ) ).
fof(t4_pscomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v1_seq_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_xxreal_0(k3_funct_2(u1_struct_0(A), k1_numbers, B, C), k2_pscomp_1(A, B))) ) ) ) ) ) ).
fof(t5_pscomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v1_seq_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) )  =>  (! [C] :  (v1_xreal_0(C) =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_xxreal_0(k3_funct_2(u1_struct_0(A), k1_numbers, B, D), C)) )  => r1_xxreal_0(k2_pscomp_1(A, B), C)) ) ) ) ) ) ) ).
fof(t6_pscomp_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_numbers)))) )  =>  ( ( (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => r1_xxreal_0(k3_funct_2(u1_struct_0(B), k1_numbers, C, D), A)) )  &  (! [D] :  (v1_xreal_0(D) =>  ( (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => r1_xxreal_0(k3_funct_2(u1_struct_0(B), k1_numbers, C, E), D)) )  => r1_xxreal_0(A, D)) ) ) )  => A=k2_pscomp_1(B, C)) ) ) ) ) ) ) ).
fof(t7_pscomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v1_comseq_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) )  => r1_xxreal_0(k1_pscomp_1(A, B), k2_pscomp_1(A, B))) ) ) ) ).
fof(d3_pscomp_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (v1_pscomp_1(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_numbers)) =>  (v2_rcomp_1(C) => v4_pre_topc(k8_relset_1(u1_struct_0(A), k1_numbers, B, C), A)) ) ) ) ) ) ) ) ).
fof(t8_pscomp_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (v1_pscomp_1(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_numbers)) =>  (v3_rcomp_1(C) => v3_pre_topc(k8_relset_1(u1_struct_0(A), k1_numbers, B, C), A)) ) ) ) ) ) ) ) ).
fof(t9_pscomp_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (v1_pscomp_1(B, A) => v1_pscomp_1(k32_valued_1(u1_struct_0(A), k1_numbers, B), A)) ) ) ) ) ).
fof(t10_pscomp_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (l1_pre_topc(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_numbers)))) )  =>  (v1_pscomp_1(C, B) => v1_pscomp_1(k9_valued_1(u1_struct_0(B), k1_numbers, C, A), B)) ) ) ) ) ) ) ).
fof(t11_pscomp_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (v1_pscomp_1(B, A) =>  (r2_tarski(k5_numbers, k2_relset_1(k1_numbers, B)) | v1_pscomp_1(k6_measure6(u1_struct_0(A), k1_numbers, B), A)) ) ) ) ) ) ).
fof(t12_pscomp_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k1_numbers))) =>  ( (v1_pscomp_1(B, A) & v1_measure6(C))  => v1_tops_2(k7_relset_1(k9_setfam_1(k1_numbers), k9_setfam_1(u1_struct_0(A)), k2_measure6(u1_struct_0(A), k1_numbers, B), C), A)) ) ) ) ) ) ) ).
fof(t13_pscomp_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k1_numbers))) =>  ( (v1_pscomp_1(B, A) & v2_measure6(C))  => v2_tops_2(k7_relset_1(k9_setfam_1(k1_numbers), k9_setfam_1(u1_struct_0(A)), k2_measure6(u1_struct_0(A), k1_numbers, B), C), A)) ) ) ) ) ) ) ).
fof(t14_pscomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (v1_pscomp_1(B, A) => v5_measure6(B, u1_struct_0(A))) ) )  <=>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (v1_pscomp_1(B, A) => v6_measure6(B, u1_struct_0(A))) ) ) ) ) ) ).
fof(t15_pscomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (v1_pscomp_1(B, A) => v1_comseq_2(B)) ) )  <=>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (v1_pscomp_1(B, A) => v5_measure6(B, u1_struct_0(A))) ) ) ) ) ) ).
fof(d4_pscomp_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v2_pscomp_1(A) <=>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (v1_pscomp_1(B, A) => v1_comseq_2(B)) ) ) ) ) ) ).
fof(t16_pscomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v2_compts_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), k1_numbers) &  (v1_pscomp_1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) )  =>  (r1_tarski(B, C) => r1_xxreal_0(k1_pscomp_1(k1_pre_topc(A, C), k3_pscomp_1(A, D, C)), k1_pscomp_1(k1_pre_topc(A, B), k3_pscomp_1(A, D, B)))) ) ) ) ) ) ) ) ) ).
fof(t17_pscomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v2_compts_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), k1_numbers) &  (v1_pscomp_1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) )  =>  (r1_tarski(B, C) => r1_xxreal_0(k2_pscomp_1(k1_pre_topc(A, B), k3_pscomp_1(A, D, B)), k2_pscomp_1(k1_pre_topc(A, C), k3_pscomp_1(A, D, C)))) ) ) ) ) ) ) ) ) ).
fof(d5_pscomp_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k15_euclid(2)), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), k1_numbers)))) )  =>  (A=k4_pscomp_1 <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => k3_funct_2(u1_struct_0(k15_euclid(2)), k1_numbers, A, B)=k17_euclid(B)) ) ) ) ) ).
fof(d6_pscomp_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k15_euclid(2)), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), k1_numbers)))) )  =>  (A=k5_pscomp_1 <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => k3_funct_2(u1_struct_0(k15_euclid(2)), k1_numbers, A, B)=k18_euclid(B)) ) ) ) ) ).
fof(t22_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, A) => k1_funct_1(k3_pscomp_1(k15_euclid(2), k4_pscomp_1, A), B)=k17_euclid(B)) ) ) ) ) ).
fof(t23_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, A) => k1_funct_1(k3_pscomp_1(k15_euclid(2), k5_pscomp_1, A), B)=k18_euclid(B)) ) ) ) ) ).
fof(d7_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k6_pscomp_1(A)=k1_pscomp_1(k1_pre_topc(k15_euclid(2), A), k3_pscomp_1(k15_euclid(2), k4_pscomp_1, A))) ) ).
fof(d8_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k7_pscomp_1(A)=k2_pscomp_1(k1_pre_topc(k15_euclid(2), A), k3_pscomp_1(k15_euclid(2), k5_pscomp_1, A))) ) ).
fof(d9_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k8_pscomp_1(A)=k2_pscomp_1(k1_pre_topc(k15_euclid(2), A), k3_pscomp_1(k15_euclid(2), k4_pscomp_1, A))) ) ).
fof(d10_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k9_pscomp_1(A)=k1_pscomp_1(k1_pre_topc(k15_euclid(2), A), k3_pscomp_1(k15_euclid(2), k5_pscomp_1, A))) ) ).
fof(t24_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (r2_tarski(A, B) =>  (r1_xxreal_0(k6_pscomp_1(B), k17_euclid(A)) &  (r1_xxreal_0(k17_euclid(A), k8_pscomp_1(B)) &  (r1_xxreal_0(k9_pscomp_1(B), k18_euclid(A)) & r1_xxreal_0(k18_euclid(A), k7_pscomp_1(B))) ) ) ) ) ) ) ) ).
fof(d11_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k10_pscomp_1(A)=k19_euclid(k6_pscomp_1(A), k9_pscomp_1(A))) ) ).
fof(d12_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k11_pscomp_1(A)=k19_euclid(k6_pscomp_1(A), k7_pscomp_1(A))) ) ).
fof(d13_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k12_pscomp_1(A)=k19_euclid(k8_pscomp_1(A), k7_pscomp_1(A))) ) ).
fof(d14_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k13_pscomp_1(A)=k19_euclid(k8_pscomp_1(A), k9_pscomp_1(A))) ) ).
fof(t25_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k17_euclid(k10_pscomp_1(A))=k17_euclid(k11_pscomp_1(A))) ) ).
fof(t26_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k17_euclid(k13_pscomp_1(A))=k17_euclid(k12_pscomp_1(A))) ) ).
fof(t27_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k18_euclid(k11_pscomp_1(A))=k18_euclid(k12_pscomp_1(A))) ) ).
fof(t28_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k18_euclid(k10_pscomp_1(A))=k18_euclid(k13_pscomp_1(A))) ) ).
fof(d15_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k14_pscomp_1(A)=k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k10_pscomp_1(A), k11_pscomp_1(A)), A)) ) ).
fof(d16_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k15_pscomp_1(A)=k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k11_pscomp_1(A), k12_pscomp_1(A)), A)) ) ).
fof(d17_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k16_pscomp_1(A)=k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k13_pscomp_1(A), k12_pscomp_1(A)), A)) ) ).
fof(d18_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k17_pscomp_1(A)=k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k10_pscomp_1(A), k13_pscomp_1(A)), A)) ) ).
fof(d19_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k18_pscomp_1(A)=k19_euclid(k6_pscomp_1(A), k1_pscomp_1(k1_pre_topc(k15_euclid(2), k14_pscomp_1(A)), k3_pscomp_1(k15_euclid(2), k5_pscomp_1, k14_pscomp_1(A))))) ) ).
fof(d20_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k19_pscomp_1(A)=k19_euclid(k6_pscomp_1(A), k2_pscomp_1(k1_pre_topc(k15_euclid(2), k14_pscomp_1(A)), k3_pscomp_1(k15_euclid(2), k5_pscomp_1, k14_pscomp_1(A))))) ) ).
fof(d21_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k20_pscomp_1(A)=k19_euclid(k1_pscomp_1(k1_pre_topc(k15_euclid(2), k15_pscomp_1(A)), k3_pscomp_1(k15_euclid(2), k4_pscomp_1, k15_pscomp_1(A))), k7_pscomp_1(A))) ) ).
fof(d22_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k21_pscomp_1(A)=k19_euclid(k2_pscomp_1(k1_pre_topc(k15_euclid(2), k15_pscomp_1(A)), k3_pscomp_1(k15_euclid(2), k4_pscomp_1, k15_pscomp_1(A))), k7_pscomp_1(A))) ) ).
fof(d23_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k22_pscomp_1(A)=k19_euclid(k8_pscomp_1(A), k2_pscomp_1(k1_pre_topc(k15_euclid(2), k16_pscomp_1(A)), k3_pscomp_1(k15_euclid(2), k5_pscomp_1, k16_pscomp_1(A))))) ) ).
fof(d24_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k23_pscomp_1(A)=k19_euclid(k8_pscomp_1(A), k1_pscomp_1(k1_pre_topc(k15_euclid(2), k16_pscomp_1(A)), k3_pscomp_1(k15_euclid(2), k5_pscomp_1, k16_pscomp_1(A))))) ) ).
fof(d25_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k24_pscomp_1(A)=k19_euclid(k2_pscomp_1(k1_pre_topc(k15_euclid(2), k17_pscomp_1(A)), k3_pscomp_1(k15_euclid(2), k4_pscomp_1, k17_pscomp_1(A))), k9_pscomp_1(A))) ) ).
fof(d26_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k25_pscomp_1(A)=k19_euclid(k1_pscomp_1(k1_pre_topc(k15_euclid(2), k17_pscomp_1(A)), k3_pscomp_1(k15_euclid(2), k4_pscomp_1, k17_pscomp_1(A))), k9_pscomp_1(A))) ) ).
fof(t29_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (k17_euclid(k10_pscomp_1(A))=k17_euclid(k18_pscomp_1(A)) &  (k17_euclid(k10_pscomp_1(A))=k17_euclid(k19_pscomp_1(A)) &  (k17_euclid(k18_pscomp_1(A))=k17_euclid(k19_pscomp_1(A)) &  (k17_euclid(k18_pscomp_1(A))=k17_euclid(k11_pscomp_1(A)) & k17_euclid(k19_pscomp_1(A))=k17_euclid(k11_pscomp_1(A))) ) ) ) ) ) ).
fof(t30_pscomp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (r1_xxreal_0(k18_euclid(k10_pscomp_1(A)), k18_euclid(k18_pscomp_1(A))) &  (r1_xxreal_0(k18_euclid(k10_pscomp_1(A)), k18_euclid(k19_pscomp_1(A))) &  (r1_xxreal_0(k18_euclid(k10_pscomp_1(A)), k18_euclid(k11_pscomp_1(A))) &  (r1_xxreal_0(k18_euclid(k18_pscomp_1(A)), k18_euclid(k19_pscomp_1(A))) &  (r1_xxreal_0(k18_euclid(k18_pscomp_1(A)), k18_euclid(k11_pscomp_1(A))) & r1_xxreal_0(k18_euclid(k19_pscomp_1(A)), k18_euclid(k11_pscomp_1(A)))) ) ) ) ) ) ) ).
fof(t31_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (r2_tarski(A, k14_pscomp_1(B)) =>  (k17_euclid(A)=k17_euclid(k18_pscomp_1(B)) &  (v2_compts_1(B, k15_euclid(2)) =>  (r1_xxreal_0(k18_euclid(k18_pscomp_1(B)), k18_euclid(A)) & r1_xxreal_0(k18_euclid(A), k18_euclid(k19_pscomp_1(B)))) ) ) ) ) ) ) ) ).
fof(t32_pscomp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  => r1_tarski(k14_pscomp_1(A), k1_rltopsp1(k15_euclid(2), k18_pscomp_1(A), k19_pscomp_1(A)))) ) ).
fof(t33_pscomp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  => r1_tarski(k1_rltopsp1(k15_euclid(2), k18_pscomp_1(A), k19_pscomp_1(A)), k1_rltopsp1(k15_euclid(2), k10_pscomp_1(A), k11_pscomp_1(A)))) ) ).
fof(t34_pscomp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (r2_tarski(k18_pscomp_1(A), k14_pscomp_1(A)) & r2_tarski(k19_pscomp_1(A), k14_pscomp_1(A))) ) ) ).
fof(t35_pscomp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k10_pscomp_1(A), k18_pscomp_1(A)), A)=k1_tarski(k18_pscomp_1(A)) & k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k19_pscomp_1(A), k11_pscomp_1(A)), A)=k1_tarski(k19_pscomp_1(A))) ) ) ).
fof(t36_pscomp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (k18_pscomp_1(A)=k19_pscomp_1(A) => k14_pscomp_1(A)=k1_tarski(k18_pscomp_1(A))) ) ) ).
fof(t37_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (k18_euclid(k11_pscomp_1(A))=k18_euclid(k20_pscomp_1(A)) &  (k18_euclid(k11_pscomp_1(A))=k18_euclid(k21_pscomp_1(A)) &  (k18_euclid(k20_pscomp_1(A))=k18_euclid(k21_pscomp_1(A)) &  (k18_euclid(k20_pscomp_1(A))=k18_euclid(k12_pscomp_1(A)) & k18_euclid(k21_pscomp_1(A))=k18_euclid(k12_pscomp_1(A))) ) ) ) ) ) ).
fof(t38_pscomp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (r1_xxreal_0(k17_euclid(k11_pscomp_1(A)), k17_euclid(k20_pscomp_1(A))) &  (r1_xxreal_0(k17_euclid(k11_pscomp_1(A)), k17_euclid(k21_pscomp_1(A))) &  (r1_xxreal_0(k17_euclid(k11_pscomp_1(A)), k17_euclid(k12_pscomp_1(A))) &  (r1_xxreal_0(k17_euclid(k20_pscomp_1(A)), k17_euclid(k21_pscomp_1(A))) &  (r1_xxreal_0(k17_euclid(k20_pscomp_1(A)), k17_euclid(k12_pscomp_1(A))) & r1_xxreal_0(k17_euclid(k21_pscomp_1(A)), k17_euclid(k12_pscomp_1(A)))) ) ) ) ) ) ) ).
fof(t39_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (r2_tarski(A, k15_pscomp_1(B)) =>  (k18_euclid(A)=k18_euclid(k20_pscomp_1(B)) &  (v2_compts_1(B, k15_euclid(2)) =>  (r1_xxreal_0(k17_euclid(k20_pscomp_1(B)), k17_euclid(A)) & r1_xxreal_0(k17_euclid(A), k17_euclid(k21_pscomp_1(B)))) ) ) ) ) ) ) ) ).
fof(t40_pscomp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  => r1_tarski(k15_pscomp_1(A), k1_rltopsp1(k15_euclid(2), k20_pscomp_1(A), k21_pscomp_1(A)))) ) ).
fof(t41_pscomp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  => r1_tarski(k1_rltopsp1(k15_euclid(2), k20_pscomp_1(A), k21_pscomp_1(A)), k1_rltopsp1(k15_euclid(2), k11_pscomp_1(A), k12_pscomp_1(A)))) ) ).
fof(t42_pscomp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (r2_tarski(k20_pscomp_1(A), k15_pscomp_1(A)) & r2_tarski(k21_pscomp_1(A), k15_pscomp_1(A))) ) ) ).
fof(t43_pscomp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k11_pscomp_1(A), k20_pscomp_1(A)), A)=k1_tarski(k20_pscomp_1(A)) & k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k21_pscomp_1(A), k12_pscomp_1(A)), A)=k1_tarski(k21_pscomp_1(A))) ) ) ).
fof(t44_pscomp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (k20_pscomp_1(A)=k21_pscomp_1(A) => k15_pscomp_1(A)=k1_tarski(k20_pscomp_1(A))) ) ) ).
fof(t45_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (k17_euclid(k13_pscomp_1(A))=k17_euclid(k23_pscomp_1(A)) &  (k17_euclid(k13_pscomp_1(A))=k17_euclid(k22_pscomp_1(A)) &  (k17_euclid(k23_pscomp_1(A))=k17_euclid(k22_pscomp_1(A)) &  (k17_euclid(k23_pscomp_1(A))=k17_euclid(k12_pscomp_1(A)) & k17_euclid(k22_pscomp_1(A))=k17_euclid(k12_pscomp_1(A))) ) ) ) ) ) ).
fof(t46_pscomp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (r1_xxreal_0(k18_euclid(k13_pscomp_1(A)), k18_euclid(k23_pscomp_1(A))) &  (r1_xxreal_0(k18_euclid(k13_pscomp_1(A)), k18_euclid(k22_pscomp_1(A))) &  (r1_xxreal_0(k18_euclid(k13_pscomp_1(A)), k18_euclid(k12_pscomp_1(A))) &  (r1_xxreal_0(k18_euclid(k23_pscomp_1(A)), k18_euclid(k22_pscomp_1(A))) &  (r1_xxreal_0(k18_euclid(k23_pscomp_1(A)), k18_euclid(k12_pscomp_1(A))) & r1_xxreal_0(k18_euclid(k22_pscomp_1(A)), k18_euclid(k12_pscomp_1(A)))) ) ) ) ) ) ) ).
fof(t47_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (r2_tarski(A, k16_pscomp_1(B)) =>  (k17_euclid(A)=k17_euclid(k23_pscomp_1(B)) &  (v2_compts_1(B, k15_euclid(2)) =>  (r1_xxreal_0(k18_euclid(k23_pscomp_1(B)), k18_euclid(A)) & r1_xxreal_0(k18_euclid(A), k18_euclid(k22_pscomp_1(B)))) ) ) ) ) ) ) ) ).
fof(t48_pscomp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  => r1_tarski(k16_pscomp_1(A), k1_rltopsp1(k15_euclid(2), k23_pscomp_1(A), k22_pscomp_1(A)))) ) ).
fof(t49_pscomp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  => r1_tarski(k1_rltopsp1(k15_euclid(2), k23_pscomp_1(A), k22_pscomp_1(A)), k1_rltopsp1(k15_euclid(2), k13_pscomp_1(A), k12_pscomp_1(A)))) ) ).
fof(t50_pscomp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (r2_tarski(k23_pscomp_1(A), k16_pscomp_1(A)) & r2_tarski(k22_pscomp_1(A), k16_pscomp_1(A))) ) ) ).
fof(t51_pscomp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k13_pscomp_1(A), k23_pscomp_1(A)), A)=k1_tarski(k23_pscomp_1(A)) & k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k22_pscomp_1(A), k12_pscomp_1(A)), A)=k1_tarski(k22_pscomp_1(A))) ) ) ).
fof(t52_pscomp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (k23_pscomp_1(A)=k22_pscomp_1(A) => k16_pscomp_1(A)=k1_tarski(k23_pscomp_1(A))) ) ) ).
fof(t53_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (k18_euclid(k10_pscomp_1(A))=k18_euclid(k25_pscomp_1(A)) &  (k18_euclid(k10_pscomp_1(A))=k18_euclid(k24_pscomp_1(A)) &  (k18_euclid(k25_pscomp_1(A))=k18_euclid(k24_pscomp_1(A)) &  (k18_euclid(k25_pscomp_1(A))=k18_euclid(k13_pscomp_1(A)) & k18_euclid(k24_pscomp_1(A))=k18_euclid(k13_pscomp_1(A))) ) ) ) ) ) ).
fof(t54_pscomp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (r1_xxreal_0(k17_euclid(k10_pscomp_1(A)), k17_euclid(k25_pscomp_1(A))) &  (r1_xxreal_0(k17_euclid(k10_pscomp_1(A)), k17_euclid(k24_pscomp_1(A))) &  (r1_xxreal_0(k17_euclid(k10_pscomp_1(A)), k17_euclid(k13_pscomp_1(A))) &  (r1_xxreal_0(k17_euclid(k25_pscomp_1(A)), k17_euclid(k24_pscomp_1(A))) &  (r1_xxreal_0(k17_euclid(k25_pscomp_1(A)), k17_euclid(k13_pscomp_1(A))) & r1_xxreal_0(k17_euclid(k24_pscomp_1(A)), k17_euclid(k13_pscomp_1(A)))) ) ) ) ) ) ) ).
fof(t55_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (r2_tarski(A, k17_pscomp_1(B)) =>  (k18_euclid(A)=k18_euclid(k25_pscomp_1(B)) &  (v2_compts_1(B, k15_euclid(2)) =>  (r1_xxreal_0(k17_euclid(k25_pscomp_1(B)), k17_euclid(A)) & r1_xxreal_0(k17_euclid(A), k17_euclid(k24_pscomp_1(B)))) ) ) ) ) ) ) ) ).
fof(t56_pscomp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  => r1_tarski(k17_pscomp_1(A), k1_rltopsp1(k15_euclid(2), k25_pscomp_1(A), k24_pscomp_1(A)))) ) ).
fof(t57_pscomp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  => r1_tarski(k1_rltopsp1(k15_euclid(2), k25_pscomp_1(A), k24_pscomp_1(A)), k1_rltopsp1(k15_euclid(2), k10_pscomp_1(A), k13_pscomp_1(A)))) ) ).
fof(t58_pscomp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (r2_tarski(k25_pscomp_1(A), k17_pscomp_1(A)) & r2_tarski(k24_pscomp_1(A), k17_pscomp_1(A))) ) ) ).
fof(t59_pscomp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k10_pscomp_1(A), k25_pscomp_1(A)), A)=k1_tarski(k25_pscomp_1(A)) & k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k24_pscomp_1(A), k13_pscomp_1(A)), A)=k1_tarski(k24_pscomp_1(A))) ) ) ).
fof(t60_pscomp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (k25_pscomp_1(A)=k24_pscomp_1(A) => k17_pscomp_1(A)=k1_tarski(k25_pscomp_1(A))) ) ) ).
fof(t61_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (k19_pscomp_1(A)=k20_pscomp_1(A) => k19_pscomp_1(A)=k11_pscomp_1(A)) ) ) ).
fof(t62_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (k21_pscomp_1(A)=k22_pscomp_1(A) => k21_pscomp_1(A)=k12_pscomp_1(A)) ) ) ).
fof(t63_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (k23_pscomp_1(A)=k24_pscomp_1(A) => k23_pscomp_1(A)=k13_pscomp_1(A)) ) ) ).
fof(t64_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (k25_pscomp_1(A)=k18_pscomp_1(A) => k25_pscomp_1(A)=k10_pscomp_1(A)) ) ) ).
fof(t65_pscomp_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (k3_funct_2(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k19_euclid(A, B))=B & k3_funct_2(u1_struct_0(k15_euclid(2)), k1_numbers, k4_pscomp_1, k19_euclid(A, B))=A) ) ) ) ) ).
fof(t66_pscomp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (r1_tarski(A, B) => r1_xxreal_0(k7_pscomp_1(A), k7_pscomp_1(B))) ) ) ) ) ).
fof(t67_pscomp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (r1_tarski(A, B) => r1_xxreal_0(k8_pscomp_1(A), k8_pscomp_1(B))) ) ) ) ) ).
fof(t68_pscomp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (r1_tarski(A, B) => r1_xxreal_0(k9_pscomp_1(B), k9_pscomp_1(A))) ) ) ) ) ).
fof(t69_pscomp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (r1_tarski(A, B) => r1_xxreal_0(k6_pscomp_1(B), k6_pscomp_1(A))) ) ) ) ) ).
fof(dt_k1_pscomp_1, axiom,  (! [A, B] :  ( (l1_struct_0(A) &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) )  => v1_xreal_0(k1_pscomp_1(A, B))) ) ).
fof(dt_k2_pscomp_1, axiom,  (! [A, B] :  ( (l1_struct_0(A) &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) )  => v1_xreal_0(k2_pscomp_1(A, B))) ) ).
fof(dt_k3_pscomp_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (v1_funct_1(k3_pscomp_1(A, B, C)) &  (v1_funct_2(k3_pscomp_1(A, B, C), u1_struct_0(k1_pre_topc(A, C)), k1_numbers) & m1_subset_1(k3_pscomp_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(A, C)), k1_numbers)))) ) ) ) ).
fof(redefinition_k3_pscomp_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => k3_pscomp_1(A, B, C)=k5_relat_1(B, C)) ) ).
fof(dt_k4_pscomp_1, axiom,  (v1_funct_1(k4_pscomp_1) &  (v1_funct_2(k4_pscomp_1, u1_struct_0(k15_euclid(2)), k1_numbers) & m1_subset_1(k4_pscomp_1, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), k1_numbers)))) ) ).
fof(dt_k5_pscomp_1, axiom,  (v1_funct_1(k5_pscomp_1) &  (v1_funct_2(k5_pscomp_1, u1_struct_0(k15_euclid(2)), k1_numbers) & m1_subset_1(k5_pscomp_1, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), k1_numbers)))) ) ).
fof(dt_k6_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => v1_xreal_0(k6_pscomp_1(A))) ) ).
fof(dt_k7_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => v1_xreal_0(k7_pscomp_1(A))) ) ).
fof(dt_k8_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => v1_xreal_0(k8_pscomp_1(A))) ) ).
fof(dt_k9_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => v1_xreal_0(k9_pscomp_1(A))) ) ).
fof(dt_k10_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k10_pscomp_1(A), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k11_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k11_pscomp_1(A), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k12_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k12_pscomp_1(A), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k13_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k13_pscomp_1(A), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k14_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k14_pscomp_1(A), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k15_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k15_pscomp_1(A), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k16_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k16_pscomp_1(A), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k17_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k17_pscomp_1(A), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k18_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k18_pscomp_1(A), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k19_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k19_pscomp_1(A), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k20_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k20_pscomp_1(A), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k21_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k21_pscomp_1(A), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k22_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k22_pscomp_1(A), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k23_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k23_pscomp_1(A), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k24_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k24_pscomp_1(A), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k25_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k25_pscomp_1(A), u1_struct_0(k15_euclid(2)))) ) ).
fof(t18_pscomp_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k8_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k4_pscomp_1, k2_rcomp_1(A, B))=a_2_0_pscomp_1(A, B)) ) ) ) ).
fof(t19_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (A=a_2_0_pscomp_1(B, C) => v3_pre_topc(A, k15_euclid(2))) ) ) ) ) ) ) ).
fof(t20_pscomp_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k8_relset_1(u1_struct_0(k15_euclid(2)), k1_numbers, k5_pscomp_1, k2_rcomp_1(A, B))=a_2_1_pscomp_1(A, B)) ) ) ) ).
fof(t21_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (A=a_2_1_pscomp_1(B, C) => v3_pre_topc(A, k15_euclid(2))) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_pscomp_1, axiom,  (! [A, B, C] :  ( (v1_xreal_0(B) & v1_xreal_0(C))  =>  (r2_hidden(A, a_2_0_pscomp_1(B, C)) <=>  (? [D, E] :  ( (v1_xreal_0(D) & v1_xreal_0(E))  &  (A=k19_euclid(D, E) &  ( ~ (r1_xxreal_0(D, B))  &  ~ (r1_xxreal_0(C, D)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_pscomp_1, axiom,  (! [A, B, C] :  ( (v1_xreal_0(B) & v1_xreal_0(C))  =>  (r2_hidden(A, a_2_1_pscomp_1(B, C)) <=>  (? [D, E] :  ( (v1_xreal_0(D) & v1_xreal_0(E))  &  (A=k19_euclid(D, E) &  ( ~ (r1_xxreal_0(E, B))  &  ~ (r1_xxreal_0(C, E)) ) ) ) ) ) ) ) ).
fof(cc1_pua2mss1, axiom,  (! [A] :  (v1_setfam_1(A) =>  (! [B] :  (m1_finseq_1(B, A) => v2_relat_1(B)) ) ) ) ).
fof(rc1_pua2mss1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_finseq_1(B, k4_partfun1(k3_finseq_2(A), A)) &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k4_partfun1(k3_finseq_2(A), A)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) &  (v4_card_3(B) &  (v4_margrel1(B, A) & v5_margrel1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc2_pua2mss1, axiom,  (! [A] :  (l1_unialg_1(A) =>  (v4_unialg_1(A) =>  ~ (v2_struct_0(A)) ) ) ) ).
fof(cc3_pua2mss1, axiom,  (! [A] :  (! [B] :  (m2_pua2mss1(B, A) =>  (v2_relat_1(B) & v2_funct_1(B)) ) ) ) ).
fof(cc4_pua2mss1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_pua2mss1(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(fc1_pua2mss1, axiom,  (! [A] :  ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  =>  (v1_partfun1(k6_pua2mss1(A), u1_struct_0(A)) &  (v3_relat_2(k6_pua2mss1(A)) & v8_relat_2(k6_pua2mss1(A))) ) ) ) ).
fof(fc2_pua2mss1, axiom,  (! [A] :  ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  =>  (v1_partfun1(k9_pua2mss1(A), u1_struct_0(A)) &  (v3_relat_2(k9_pua2mss1(A)) & v8_relat_2(k9_pua2mss1(A))) ) ) ) ).
fof(fc3_pua2mss1, axiom,  (! [A, B] :  ( ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  & m3_pua2mss1(B, A))  =>  ( ~ (v2_struct_0(k11_pua2mss1(A, B)))  &  ( ~ (v11_struct_0(k11_pua2mss1(A, B)))  & v1_msualg_1(k11_pua2mss1(A, B))) ) ) ) ).
fof(t1_pua2mss1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) & v1_funct_1(B)) )  =>  (r1_tarski(k4_card_3(A), k4_card_3(B)) =>  (k9_xtuple_0(A)=k9_xtuple_0(B) &  (! [C] :  (r2_tarski(C, k9_xtuple_0(A)) => r1_tarski(k1_funct_1(A, C), k1_funct_1(B, C))) ) ) ) ) ) ) ) ).
fof(t2_pua2mss1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) & v1_funct_1(B)) )  =>  (k4_card_3(A)=k4_card_3(B) => A=B) ) ) ) ) ).
fof(d1_pua2mss1, axiom,  (! [A] :  ( (v4_unialg_1(A) & l1_unialg_1(A))  =>  (! [B] :  (m2_subset_1(B, k4_ordinal1, k4_finseq_1(u1_unialg_1(A))) => k2_pua2mss1(A, B)=k1_funct_1(u1_unialg_1(A), B)) ) ) ) ).
fof(t4_pua2mss1, axiom,  (! [A] :  (! [B] :  (r1_setfam_1(A, B) =>  (! [C] :  (m2_finseq_1(C, A) =>  (? [D] :  (m2_finseq_1(D, B) & r1_tarski(k4_card_3(C), k4_card_3(D))) ) ) ) ) ) ) ).
fof(t5_pua2mss1, axiom,  (! [A] :  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  ( (! [E] :  (r2_tarski(E, B) => r1_tarski(E, k1_funct_1(D, E))) )  =>  (! [E] :  (m2_finseq_1(E, B) =>  (! [F] :  (m2_finseq_1(F, C) =>  (r1_tarski(k4_card_3(E), k4_card_3(F)) <=> r2_relset_1(k4_ordinal1, C, k1_partfun1(k4_ordinal1, B, B, C, E, D), F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_pua2mss1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ~ ( (r1_tarski(k10_xtuple_0(B), k3_tarski(A)) &  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ~ ( (k9_xtuple_0(C)=k9_xtuple_0(B) &  (r1_tarski(k10_xtuple_0(C), A) & r2_tarski(B, k4_card_3(C))) ) ) ) ) ) ) ) ) ) ).
fof(t7_pua2mss1, axiom,  (! [A] :  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (? [D] :  (m2_finseq_1(D, B) & r2_tarski(C, k4_card_3(D))) ) ) ) ) ) ) ).
fof(t13_pua2mss1, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, k11_eqrel_1(A)) =>  (? [C] :  (m2_finseq_1(C, A) & k4_card_3(B)=k1_tarski(C)) ) ) ) ) ).
fof(d2_pua2mss1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (m2_pua2mss1(B, A) <=>  (m1_eqrel_1(k10_xtuple_0(B), A) & v2_funct_1(B)) ) ) ) ) ).
fof(d3_pua2mss1, axiom,  (! [A] :  (! [B] :  (m2_pua2mss1(B, A) =>  (! [C] :  (r2_hidden(C, A) =>  (! [D] :  (D=k5_pua2mss1(A, B, C) <=>  (r2_tarski(D, k9_xtuple_0(B)) & r2_hidden(C, k1_funct_1(B, D))) ) ) ) ) ) ) ) ).
fof(t14_pua2mss1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) & v1_funct_1(B)) )  =>  ( (k3_card_3(B)=A &  (! [C] :  (! [D] :  ( (r2_tarski(C, k9_xtuple_0(B)) & r2_tarski(D, k9_xtuple_0(B)))  =>  (C=D | r1_xboole_0(k1_funct_1(B, C), k1_funct_1(B, D))) ) ) ) )  => m2_pua2mss1(B, A)) ) ) ) ).
fof(t15_pua2mss1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_eqrel_1(C, B) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  =>  ( (r1_tarski(C, k2_relset_1(C, D)) & v2_funct_1(D))  => m2_pua2mss1(D, B)) ) ) ) ) ) ) ) ) ).
fof(d4_pua2mss1, axiom,  (! [A] :  ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) =>  (B=k6_pua2mss1(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_hidden(k4_tarski(C, D), B) <=>  (! [E] :  (m1_pua2mss1(E, k3_finseq_2(u1_struct_0(A)), u1_struct_0(A), k1_pua2mss1(u1_struct_0(A), u1_unialg_1(A))) =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) )  =>  (! [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) & v1_finseq_1(G)) )  =>  (r2_tarski(k7_finseq_1(k7_finseq_1(F, k12_finseq_1(u1_struct_0(A), C)), G), k1_relset_1(k3_finseq_2(u1_struct_0(A)), E)) <=> r2_tarski(k7_finseq_1(k7_finseq_1(F, k12_finseq_1(u1_struct_0(A), D)), G), k1_relset_1(k3_finseq_2(u1_struct_0(A)), E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_pua2mss1, axiom,  (! [A] :  ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) =>  (C=k7_pua2mss1(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_hidden(k4_tarski(D, E), C) <=>  (r2_hidden(k4_tarski(D, E), B) &  (! [F] :  (m1_pua2mss1(F, k3_finseq_2(u1_struct_0(A)), u1_struct_0(A), k1_pua2mss1(u1_struct_0(A), u1_unialg_1(A))) =>  (! [G] :  ( (v1_relat_1(G) &  (v1_funct_1(G) & v1_finseq_1(G)) )  =>  (! [H] :  ( (v1_relat_1(H) &  (v1_funct_1(H) & v1_finseq_1(H)) )  =>  ( (r2_tarski(k7_finseq_1(k7_finseq_1(G, k12_finseq_1(u1_struct_0(A), D)), H), k1_relset_1(k3_finseq_2(u1_struct_0(A)), F)) & r2_tarski(k7_finseq_1(k7_finseq_1(G, k12_finseq_1(u1_struct_0(A), E)), H), k1_relset_1(k3_finseq_2(u1_struct_0(A)), F)))  => r2_hidden(k4_tarski(k1_funct_1(F, k7_finseq_1(k7_finseq_1(G, k12_finseq_1(u1_struct_0(A), D)), H)), k1_funct_1(F, k7_finseq_1(k7_finseq_1(G, k12_finseq_1(u1_struct_0(A), E)), H))), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_pua2mss1, axiom,  (! [A] :  ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) =>  (D=k8_pua2mss1(A, B, C) <=>  (? [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v1_funct_1(E) & v1_partfun1(E, k4_ordinal1)) ) )  &  (D=k1_funct_1(E, C) &  (k1_funct_1(E, k5_numbers)=B &  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) =>  (G=k1_funct_1(E, F) => k1_funct_1(E, k1_nat_1(F, 1))=k7_pua2mss1(A, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_pua2mss1, axiom,  (! [A] :  ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) =>  (r2_relset_1(u1_struct_0(A), u1_struct_0(A), k8_pua2mss1(A, B, k5_numbers), B) & r2_relset_1(u1_struct_0(A), u1_struct_0(A), k8_pua2mss1(A, B, 1), k7_pua2mss1(A, B))) ) ) ) ) ).
fof(t17_pua2mss1, axiom,  (! [A] :  ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) => r2_relset_1(u1_struct_0(A), u1_struct_0(A), k8_pua2mss1(A, C, k1_nat_1(B, 1)), k7_pua2mss1(A, k8_pua2mss1(A, C, B)))) ) ) ) ) ) ).
fof(t18_pua2mss1, axiom,  (! [A] :  ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) => r2_relset_1(u1_struct_0(A), u1_struct_0(A), k8_pua2mss1(A, D, k1_nat_1(B, C)), k8_pua2mss1(A, k8_pua2mss1(A, D, B), C))) ) ) ) ) ) ) ) ).
fof(t19_pua2mss1, axiom,  (! [A] :  ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  =>  (! [B] :  ( (v1_partfun1(B, u1_struct_0(A)) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (r1_relset_1(u1_struct_0(A), u1_struct_0(A), B, k6_pua2mss1(A)) =>  (v1_partfun1(k7_pua2mss1(A, B), u1_struct_0(A)) &  (v3_relat_2(k7_pua2mss1(A, B)) & v8_relat_2(k7_pua2mss1(A, B))) ) ) ) ) ) ) ).
fof(t20_pua2mss1, axiom,  (! [A] :  ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) => r1_relset_1(u1_struct_0(A), u1_struct_0(A), k7_pua2mss1(A, B), B)) ) ) ) ).
fof(t21_pua2mss1, axiom,  (! [A] :  ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  =>  (! [B] :  ( (v1_partfun1(B, u1_struct_0(A)) &  (v3_relat_2(B) &  (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (r1_relset_1(u1_struct_0(A), u1_struct_0(A), B, k6_pua2mss1(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (v1_partfun1(k8_pua2mss1(A, B, C), u1_struct_0(A)) &  (v3_relat_2(k8_pua2mss1(A, B, C)) & v8_relat_2(k8_pua2mss1(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(d7_pua2mss1, axiom,  (! [A] :  ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) =>  (B=k9_pua2mss1(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_hidden(k4_tarski(C, D), B) <=>  (! [E] :  (m1_subset_1(E, k4_ordinal1) => r2_hidden(k4_tarski(C, D), k8_pua2mss1(A, k6_pua2mss1(A), E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_pua2mss1, axiom,  (! [A] :  ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  => r1_relset_1(u1_struct_0(A), u1_struct_0(A), k9_pua2mss1(A), k6_pua2mss1(A))) ) ).
fof(d8_pua2mss1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), A))))  =>  (! [C] :  (m1_eqrel_1(C, A) =>  (r1_pua2mss1(A, B, C) <=>  (! [D] :  (m2_finseq_1(D, C) =>  (? [E] :  (m2_subset_1(E, k1_zfmisc_1(A), C) & r1_tarski(k7_relset_1(k3_finseq_2(A), A, B, k4_card_3(D)), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_pua2mss1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), A))))  =>  (! [C] :  (m1_eqrel_1(C, A) =>  (r2_pua2mss1(A, B, C) <=>  (r1_pua2mss1(A, B, C) &  (! [D] :  (m2_finseq_1(D, C) =>  ( ~ (r1_xboole_0(k4_card_3(D), k1_relset_1(k3_finseq_2(A), B)))  => r1_tarski(k4_card_3(D), k1_relset_1(k3_finseq_2(A), B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_pua2mss1, axiom,  (! [A] :  ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  =>  (! [B] :  (m1_pua2mss1(B, k3_finseq_2(u1_struct_0(A)), u1_struct_0(A), k1_pua2mss1(u1_struct_0(A), u1_unialg_1(A))) => r2_pua2mss1(u1_struct_0(A), B, k11_eqrel_1(u1_struct_0(A)))) ) ) ) ).
fof(t24_pua2mss1, axiom,  (! [A] :  ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  =>  (! [B] :  (m1_pua2mss1(B, k3_finseq_2(u1_struct_0(A)), u1_struct_0(A), k1_pua2mss1(u1_struct_0(A), u1_unialg_1(A))) => r2_pua2mss1(u1_struct_0(A), B, k8_eqrel_1(u1_struct_0(A), k9_pua2mss1(A)))) ) ) ) ).
fof(d10_pua2mss1, axiom,  (! [A] :  ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  =>  (! [B] :  (m1_eqrel_1(B, u1_struct_0(A)) =>  (m3_pua2mss1(B, A) <=>  (! [C] :  (m1_pua2mss1(C, k3_finseq_2(u1_struct_0(A)), u1_struct_0(A), k1_pua2mss1(u1_struct_0(A), u1_unialg_1(A))) => r2_pua2mss1(u1_struct_0(A), C, B)) ) ) ) ) ) ) ).
fof(d11_pua2mss1, axiom,  (! [A] :  ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  =>  (! [B] :  (m2_pua2mss1(B, u1_struct_0(A)) =>  (m4_pua2mss1(B, A) <=> m3_pua2mss1(k3_pua2mss1(u1_struct_0(A), B), A)) ) ) ) ) ).
fof(t25_pua2mss1, axiom,  (! [A] :  ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  => m3_pua2mss1(k8_eqrel_1(u1_struct_0(A), k9_pua2mss1(A)), A)) ) ).
fof(t26_pua2mss1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m2_finseq_1(C, B) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  (! [F] :  (! [G] :  (r2_tarski(k7_finseq_1(k7_finseq_1(D, k9_finseq_1(F)), E), k4_card_3(C)) =>  ( (! [H] :  (m2_subset_1(H, k1_zfmisc_1(A), B) =>  ~ ( (r2_tarski(F, H) & r2_tarski(G, H)) ) ) )  | r2_tarski(k7_finseq_1(k7_finseq_1(D, k9_finseq_1(G)), E), k4_card_3(C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_pua2mss1, axiom,  (! [A] :  ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  =>  (! [B] :  (m3_pua2mss1(B, A) => r1_setfam_1(B, k8_eqrel_1(u1_struct_0(A), k9_pua2mss1(A)))) ) ) ) ).
fof(d12_pua2mss1, axiom,  (! [A] :  (l1_msualg_1(A) =>  (! [B] :  (l1_msualg_1(B) =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (r3_pua2mss1(A, B, C, D) <=>  (k9_xtuple_0(C)=u1_struct_0(A) &  (k9_xtuple_0(D)=u4_struct_0(A) &  (r1_tarski(k10_xtuple_0(C), u1_struct_0(B)) &  (r1_tarski(k10_xtuple_0(D), u4_struct_0(B)) &  (k3_relat_1(u2_msualg_1(A), C)=k3_relat_1(D, u2_msualg_1(B)) &  (! [E] :  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  ( (r2_tarski(E, u4_struct_0(A)) & F=k1_funct_1(u1_msualg_1(A), E))  => k3_relat_1(F, C)=k1_funct_1(u1_msualg_1(B), k1_funct_1(D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_pua2mss1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  => r3_pua2mss1(A, A, k6_partfun1(u1_struct_0(A)), k6_partfun1(u4_struct_0(A)))) ) ).
fof(t29_pua2mss1, axiom,  (! [A] :  (l1_msualg_1(A) =>  (! [B] :  (l1_msualg_1(B) =>  (! [C] :  (l1_msualg_1(C) =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  =>  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  (! [G] :  ( (v1_relat_1(G) & v1_funct_1(G))  =>  ( (r3_pua2mss1(A, B, D, F) & r3_pua2mss1(B, C, E, G))  => r3_pua2mss1(A, C, k3_relat_1(D, E), k3_relat_1(F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_pua2mss1, axiom,  (! [A] :  (l1_msualg_1(A) =>  (! [B] :  (l1_msualg_1(B) =>  (r4_pua2mss1(A, B) <=>  (? [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  &  (? [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  &  (r3_pua2mss1(B, A, C, D) &  (k10_xtuple_0(C)=u1_struct_0(A) & k10_xtuple_0(D)=u4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_pua2mss1, axiom,  (! [A] :  (l1_msualg_1(A) =>  (! [B] :  (l1_msualg_1(B) =>  (! [C] :  (l1_msualg_1(C) =>  ( (r4_pua2mss1(A, B) & r4_pua2mss1(B, C))  => r4_pua2mss1(A, C)) ) ) ) ) ) ) ).
fof(d15_pua2mss1, axiom,  (! [A] :  ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (l3_msualg_1(C, B) =>  (! [D] :  (m2_pua2mss1(D, u4_struct_0(B)) =>  (r6_pua2mss1(A, B, C, D) <=>  (m4_pua2mss1(u3_msualg_1(B, C), A) &  (k9_xtuple_0(D)=k4_finseq_1(u1_unialg_1(A)) &  (! [E] :  (m2_subset_1(E, k4_ordinal1, k4_finseq_1(u1_unialg_1(A))) => m2_pua2mss1(k5_relat_1(u4_msualg_1(B, C), k1_funct_1(D, E)), k2_pua2mss1(A, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_pua2mss1, axiom,  (! [A] :  ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (r7_pua2mss1(A, B) <=>  (? [C] :  (l3_msualg_1(C, B) &  (? [D] :  (m2_pua2mss1(D, u4_struct_0(B)) & r6_pua2mss1(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t31_pua2mss1, axiom,  (! [A] :  ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  =>  (! [B] :  (m3_pua2mss1(B, A) => r7_pua2mss1(A, k11_pua2mss1(A, B))) ) ) ) ).
fof(t32_pua2mss1, axiom,  (! [A] :  ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  =>  (! [C] :  (l3_msualg_1(C, B) =>  (! [D] :  (m2_pua2mss1(D, u4_struct_0(B)) =>  (r6_pua2mss1(A, B, C, D) =>  (! [E] :  (m2_subset_1(E, k4_ordinal1, k4_finseq_1(u1_unialg_1(A))) =>  (! [F] :  (m2_finseq_1(F, k10_xtuple_0(u3_msualg_1(B, C))) =>  ~ ( (r1_tarski(k4_card_3(F), k1_relset_1(k3_finseq_2(u1_struct_0(A)), k2_pua2mss1(A, E))) &  (! [G] :  (m1_subset_1(G, u4_struct_0(B)) =>  ~ ( (k3_relat_1(k1_msualg_1(B, G), u3_msualg_1(B, C))=F & r2_tarski(G, k1_funct_1(D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_pua2mss1, axiom,  (! [A] :  ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  =>  (! [B] :  (m3_pua2mss1(B, A) =>  (B=k8_eqrel_1(u1_struct_0(A), k9_pua2mss1(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v11_struct_0(C))  & l1_msualg_1(C)) )  =>  (r7_pua2mss1(A, C) => r5_pua2mss1(k11_pua2mss1(A, B), C)) ) ) ) ) ) ) ) ).
fof(s1_pua2mss1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(f1_s1_pua2mss1, f2_s1_pua2mss1))) &  (? [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) )  &  (A=k1_funct_1(B, f3_s1_pua2mss1) &  (k1_funct_1(B, k5_numbers)=f4_s1_pua2mss1 &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(f1_s1_pua2mss1, f2_s1_pua2mss1))) =>  (D=k1_funct_1(B, C) => k1_funct_1(B, k1_nat_1(C, 1))=f5_s1_pua2mss1(D, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(s2_pua2mss1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(f1_s2_pua2mss1, f2_s2_pua2mss1))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(f1_s2_pua2mss1, f2_s2_pua2mss1))) =>  ( ( (! [C] :  (m1_subset_1(C, f1_s2_pua2mss1) =>  (! [D] :  (m1_subset_1(D, f2_s2_pua2mss1) =>  (r2_hidden(k4_tarski(C, D), A) <=> p1_s2_pua2mss1(C, D)) ) ) ) )  &  (! [C] :  (m1_subset_1(C, f1_s2_pua2mss1) =>  (! [D] :  (m1_subset_1(D, f2_s2_pua2mss1) =>  (r2_hidden(k4_tarski(C, D), B) <=> p1_s2_pua2mss1(C, D)) ) ) ) ) )  => r2_relset_1(f1_s2_pua2mss1, f2_s2_pua2mss1, A, B)) ) ) ) ) ).
fof(s3_pua2mss1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(f1_s3_pua2mss1, f2_s3_pua2mss1))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(f1_s3_pua2mss1, f2_s3_pua2mss1))) =>  ~ ( ( (? [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) )  &  (A=k1_funct_1(C, f3_s3_pua2mss1) &  (k1_funct_1(C, k5_numbers)=f4_s3_pua2mss1 &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(f1_s3_pua2mss1, f2_s3_pua2mss1))) =>  (E=k1_funct_1(C, D) => k1_funct_1(C, k1_nat_1(D, 1))=f5_s3_pua2mss1(E, D)) ) ) ) ) ) ) ) )  &  ( (? [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) )  &  (B=k1_funct_1(C, f3_s3_pua2mss1) &  (k1_funct_1(C, k5_numbers)=f4_s3_pua2mss1 &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(f1_s3_pua2mss1, f2_s3_pua2mss1))) =>  (E=k1_funct_1(C, D) => k1_funct_1(C, k1_nat_1(D, 1))=f5_s3_pua2mss1(E, D)) ) ) ) ) ) ) ) )  &  ~ (r2_relset_1(f1_s3_pua2mss1, f2_s3_pua2mss1, A, B)) ) ) ) ) ) ) ) ).
fof(s4_pua2mss1, axiom,  ( (p1_s4_pua2mss1(f1_s4_pua2mss1) &  (k3_finseq_1(f1_s4_pua2mss1)=k3_finseq_1(f2_s4_pua2mss1) &  ( (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (! [D] :  ( (p1_s4_pua2mss1(k7_finseq_1(k7_finseq_1(A, k9_finseq_1(C)), B)) & p2_s4_pua2mss1(C, D))  => p1_s4_pua2mss1(k7_finseq_1(k7_finseq_1(A, k9_finseq_1(D)), B))) ) ) ) ) ) )  &  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (r2_tarski(A, k4_finseq_1(f1_s4_pua2mss1)) => p2_s4_pua2mss1(k1_funct_1(f1_s4_pua2mss1, A), k1_funct_1(f2_s4_pua2mss1, A))) ) ) ) ) )  => p1_s4_pua2mss1(f2_s4_pua2mss1)) ).
fof(dt_k1_pua2mss1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(B, k4_partfun1(k3_finseq_2(A), A)))  => m1_subset_1(k1_pua2mss1(A, B), k1_zfmisc_1(k4_partfun1(k3_finseq_2(A), A)))) ) ).
fof(redefinition_k1_pua2mss1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(B, k4_partfun1(k3_finseq_2(A), A)))  => k1_pua2mss1(A, B)=k10_xtuple_0(B)) ) ).
fof(dt_m1_pua2mss1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k4_partfun1(A, B)))) ) )  =>  (! [D] :  (m1_pua2mss1(D, A, B, C) =>  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ).
fof(existence_m1_pua2mss1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k4_partfun1(A, B)))) ) )  =>  (? [D] : m1_pua2mss1(D, A, B, C)) ) ) ).
fof(redefinition_m1_pua2mss1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k4_partfun1(A, B)))) ) )  =>  (! [D] :  (m1_pua2mss1(D, A, B, C) <=> m1_subset_1(D, C)) ) ) ) ).
fof(dt_k2_pua2mss1, axiom,  (! [A, B] :  ( ( (v4_unialg_1(A) & l1_unialg_1(A))  & m1_subset_1(B, k4_finseq_1(u1_unialg_1(A))))  => m1_pua2mss1(k2_pua2mss1(A, B), k3_finseq_2(u1_struct_0(A)), u1_struct_0(A), k1_pua2mss1(u1_struct_0(A), u1_unialg_1(A)))) ) ).
fof(dt_m2_pua2mss1, axiom,  (! [A] :  (! [B] :  (m2_pua2mss1(B, A) =>  (v1_relat_1(B) & v1_funct_1(B)) ) ) ) ).
fof(existence_m2_pua2mss1, axiom,  (! [A] :  (? [B] : m2_pua2mss1(B, A)) ) ).
fof(dt_k3_pua2mss1, axiom,  (! [A, B] :  (m2_pua2mss1(B, A) => m1_eqrel_1(k3_pua2mss1(A, B), A)) ) ).
fof(redefinition_k3_pua2mss1, axiom,  (! [A, B] :  (m2_pua2mss1(B, A) => k3_pua2mss1(A, B)=k10_xtuple_0(B)) ) ).
fof(dt_k4_pua2mss1, axiom,  (! [A, B] :  (m1_eqrel_1(B, A) => m2_pua2mss1(k4_pua2mss1(A, B), A)) ) ).
fof(redefinition_k4_pua2mss1, axiom,  (! [A, B] :  (m1_eqrel_1(B, A) => k4_pua2mss1(A, B)=k4_relat_1(B)) ) ).
fof(dt_f1_s1_pua2mss1, axiom,  ~ (v1_xboole_0(f1_s1_pua2mss1)) ).
fof(dt_f2_s1_pua2mss1, axiom,  ~ (v1_xboole_0(f2_s1_pua2mss1)) ).
fof(dt_f3_s1_pua2mss1, axiom, v7_ordinal1(f3_s1_pua2mss1)).
fof(dt_f4_s1_pua2mss1, axiom, m1_subset_1(f4_s1_pua2mss1, k1_zfmisc_1(k2_zfmisc_1(f1_s1_pua2mss1, f2_s1_pua2mss1)))).
fof(dt_f5_s1_pua2mss1, axiom,  (! [A, B] : m1_subset_1(f5_s1_pua2mss1(A, B), k1_zfmisc_1(k2_zfmisc_1(f1_s1_pua2mss1, f2_s1_pua2mss1)))) ).
fof(dt_f1_s2_pua2mss1, axiom,  ~ (v1_xboole_0(f1_s2_pua2mss1)) ).
fof(dt_f2_s2_pua2mss1, axiom,  ~ (v1_xboole_0(f2_s2_pua2mss1)) ).
fof(dt_f1_s3_pua2mss1, axiom,  ~ (v1_xboole_0(f1_s3_pua2mss1)) ).
fof(dt_f2_s3_pua2mss1, axiom,  ~ (v1_xboole_0(f2_s3_pua2mss1)) ).
fof(dt_f3_s3_pua2mss1, axiom, v7_ordinal1(f3_s3_pua2mss1)).
fof(dt_f4_s3_pua2mss1, axiom, m1_subset_1(f4_s3_pua2mss1, k1_zfmisc_1(k2_zfmisc_1(f1_s3_pua2mss1, f2_s3_pua2mss1)))).
fof(dt_f5_s3_pua2mss1, axiom,  (! [A, B] : m1_subset_1(f5_s3_pua2mss1(A, B), k1_zfmisc_1(k2_zfmisc_1(f1_s3_pua2mss1, f2_s3_pua2mss1)))) ).
fof(dt_k6_pua2mss1, axiom,  (! [A] :  ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  => m1_subset_1(k6_pua2mss1(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ).
fof(dt_k7_pua2mss1, axiom,  (! [A, B] :  ( ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))))  => m1_subset_1(k7_pua2mss1(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ).
fof(dt_k8_pua2mss1, axiom,  (! [A, B, C] :  ( ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) & v7_ordinal1(C)) )  => m1_subset_1(k8_pua2mss1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ).
fof(dt_k9_pua2mss1, axiom,  (! [A] :  ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  => m1_subset_1(k9_pua2mss1(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ).
fof(dt_f1_s4_pua2mss1, axiom,  (v1_relat_1(f1_s4_pua2mss1) &  (v1_funct_1(f1_s4_pua2mss1) & v1_finseq_1(f1_s4_pua2mss1)) ) ).
fof(dt_f2_s4_pua2mss1, axiom,  (v1_relat_1(f2_s4_pua2mss1) &  (v1_funct_1(f2_s4_pua2mss1) & v1_finseq_1(f2_s4_pua2mss1)) ) ).
fof(dt_m3_pua2mss1, axiom,  (! [A] :  ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  =>  (! [B] :  (m3_pua2mss1(B, A) => m1_eqrel_1(B, u1_struct_0(A))) ) ) ) ).
fof(existence_m3_pua2mss1, axiom,  (! [A] :  ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  =>  (? [B] : m3_pua2mss1(B, A)) ) ) ).
fof(dt_m4_pua2mss1, axiom,  (! [A] :  ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  =>  (! [B] :  (m4_pua2mss1(B, A) => m2_pua2mss1(B, u1_struct_0(A))) ) ) ) ).
fof(existence_m4_pua2mss1, axiom,  (! [A] :  ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  =>  (? [B] : m4_pua2mss1(B, A)) ) ) ).
fof(dt_k10_pua2mss1, axiom,  (! [A, B] :  ( ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  & m4_pua2mss1(B, A))  => m3_pua2mss1(k10_pua2mss1(A, B), A)) ) ).
fof(redefinition_k10_pua2mss1, axiom,  (! [A, B] :  ( ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  & m4_pua2mss1(B, A))  => k10_pua2mss1(A, B)=k10_xtuple_0(B)) ) ).
fof(reflexivity_r5_pua2mss1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) ) )  => r5_pua2mss1(A, A)) ) ).
fof(redefinition_r5_pua2mss1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) ) )  =>  (r5_pua2mss1(A, B) <=> r4_pua2mss1(A, B)) ) ) ).
fof(dt_k11_pua2mss1, axiom,  (! [A, B] :  ( ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  & m3_pua2mss1(B, A))  =>  (v1_msualg_1(k11_pua2mss1(A, B)) & l1_msualg_1(k11_pua2mss1(A, B))) ) ) ).
fof(dt_k12_pua2mss1, axiom,  (! [A, B, C] :  ( ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  &  (m3_pua2mss1(B, A) & m1_subset_1(C, u4_struct_0(k11_pua2mss1(A, B)))) )  => m2_subset_1(k12_pua2mss1(A, B, C), k4_ordinal1, k4_finseq_1(u1_unialg_1(A)))) ) ).
fof(redefinition_k12_pua2mss1, axiom,  (! [A, B, C] :  ( ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  &  (m3_pua2mss1(B, A) & m1_subset_1(C, u4_struct_0(k11_pua2mss1(A, B)))) )  => k12_pua2mss1(A, B, C)=k1_xtuple_0(C)) ) ).
fof(dt_k13_pua2mss1, axiom,  (! [A, B, C] :  ( ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  &  (m3_pua2mss1(B, A) & m1_subset_1(C, u4_struct_0(k11_pua2mss1(A, B)))) )  => m2_finseq_2(k13_pua2mss1(A, B, C), B, k3_finseq_2(B))) ) ).
fof(redefinition_k13_pua2mss1, axiom,  (! [A, B, C] :  ( ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  &  (m3_pua2mss1(B, A) & m1_subset_1(C, u4_struct_0(k11_pua2mss1(A, B)))) )  => k13_pua2mss1(A, B, C)=k2_xtuple_0(C)) ) ).
fof(t8_pua2mss1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, B) => m1_eqrel_1(a_4_0_pua2mss1(A, B, C, D), k2_zfmisc_1(A, B))) ) ) ) ) ) ) ) ).
fof(t9_pua2mss1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) => m1_eqrel_1(a_2_0_pua2mss1(A, B), k3_finseq_2(A))) ) ) ) ).
fof(t10_pua2mss1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_eqrel_1(C, A) => m1_eqrel_1(a_3_0_pua2mss1(A, B, C), k4_finseq_2(B, A))) ) ) ) ) ) ).
fof(t11_pua2mss1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (r1_tarski(B, A) =>  (! [C] :  (m1_eqrel_1(C, A) => m1_eqrel_1(a_3_1_pua2mss1(A, B, C), B)) ) ) ) ) ) ).
fof(t12_pua2mss1, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  & v1_funct_1(A)) )  =>  (! [B] :  (m1_eqrel_1(B, k9_xtuple_0(A)) => m1_eqrel_1(a_2_1_pua2mss1(A, B), A)) ) ) ) ).
fof(d14_pua2mss1, axiom,  (! [A] :  ( (v2_unialg_1(A) &  (v4_unialg_1(A) & l1_unialg_1(A)) )  =>  (! [B] :  (m3_pua2mss1(B, A) =>  (! [C] :  ( (v1_msualg_1(C) & l1_msualg_1(C))  =>  (C=k11_pua2mss1(A, B) <=>  (u1_struct_0(C)=B &  (u4_struct_0(C)=a_2_2_pua2mss1(A, B) &  (! [D] :  (m2_subset_1(D, k4_ordinal1, k4_finseq_1(u1_unialg_1(A))) =>  (! [E] :  (m2_finseq_2(E, B, k3_finseq_2(B)) =>  ( ~ (r2_subset_1(k4_card_3(E), k1_relset_1(k3_finseq_2(u1_struct_0(A)), k2_pua2mss1(A, D))))  =>  (k1_funct_1(u1_msualg_1(C), k4_tarski(D, E))=E & r1_tarski(k7_relset_1(k3_finseq_2(u1_struct_0(A)), u1_struct_0(A), k2_pua2mss1(A, D), k4_card_3(E)), k1_funct_1(u2_msualg_1(C), k4_tarski(D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_pua2mss1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (m1_eqrel_1(D, B) & m1_eqrel_1(E, C)) ) )  =>  (r2_hidden(A, a_4_0_pua2mss1(B, C, D, E)) <=>  (? [F, G] :  ( (m2_subset_1(F, k1_zfmisc_1(B), D) & m2_subset_1(G, k1_zfmisc_1(C), E))  & A=k8_mcart_1(B, C, F, G)) ) ) ) ) ).
fof(fraenkel_a_2_0_pua2mss1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & m1_eqrel_1(C, B))  =>  (r2_hidden(A, a_2_0_pua2mss1(B, C)) <=>  (? [D] :  (m2_finseq_2(D, C, k3_finseq_2(C)) & A=k4_card_3(D)) ) ) ) ) ).
fof(fraenkel_a_3_0_pua2mss1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k4_ordinal1) & m1_eqrel_1(D, B)) )  =>  (r2_hidden(A, a_3_0_pua2mss1(B, C, D)) <=>  (? [E] :  (m2_finseq_2(E, D, k4_finseq_2(C, D)) & A=k4_card_3(E)) ) ) ) ) ).
fof(fraenkel_a_3_1_pua2mss1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  & m1_eqrel_1(D, B))  =>  (r2_hidden(A, a_3_1_pua2mss1(B, C, D)) <=>  (? [E] :  (m2_subset_1(E, k1_zfmisc_1(B), D) &  (A=k8_subset_1(B, E, C) &  ~ (r1_xboole_0(E, C)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_pua2mss1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  ( ~ (v1_xboole_0(B))  & v1_funct_1(B)) )  & m1_eqrel_1(C, k9_xtuple_0(B)))  =>  (r2_hidden(A, a_2_1_pua2mss1(B, C)) <=>  (? [D] :  (m2_subset_1(D, k1_zfmisc_1(k9_xtuple_0(B)), C) & A=k5_relat_1(B, D)) ) ) ) ) ).
fof(fraenkel_a_2_2_pua2mss1, axiom,  (! [A, B, C] :  ( ( (v2_unialg_1(B) &  (v4_unialg_1(B) & l1_unialg_1(B)) )  & m3_pua2mss1(C, B))  =>  (r2_hidden(A, a_2_2_pua2mss1(B, C)) <=>  (? [D, E] :  ( (m2_subset_1(D, k4_ordinal1, k4_finseq_1(u1_unialg_1(B))) & m2_finseq_2(E, C, k3_finseq_2(C)))  &  (A=k4_tarski(D, E) &  ~ (r2_subset_1(k4_card_3(E), k1_relset_1(k3_finseq_2(u1_struct_0(B)), k2_pua2mss1(B, D)))) ) ) ) ) ) ) ).
fof(cc1_pythtrip, axiom,  (! [A] :  (v1_pythtrip(A) => v7_ordinal1(A)) ) ).
fof(fc1_pythtrip, axiom,  (! [A] :  (v7_ordinal1(A) => v1_pythtrip(k1_square_1(A))) ) ).
fof(rc1_pythtrip, axiom,  (? [A] :  (m1_subset_1(A, k4_ordinal1) &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_abian(A) & v1_pythtrip(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_pythtrip, axiom,  (? [A] :  (m1_subset_1(A, k4_ordinal1) &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  ( ~ (v1_abian(A))  & v1_pythtrip(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_pythtrip, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v1_abian(A) & v1_pythtrip(A)) ) ) ) ) ) ).
fof(rc4_pythtrip, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  ( ~ (v1_abian(A))  & v1_pythtrip(A)) ) ) ) ) ) ).
fof(fc2_pythtrip, axiom,  (! [A, B] :  ( (v1_pythtrip(A) & v1_pythtrip(B))  => v1_pythtrip(k3_xcmplx_0(A, B))) ) ).
fof(fc3_pythtrip, axiom,  (! [A] :  (v1_int_1(A) => v1_int_1(k1_square_1(A))) ) ).
fof(fc4_pythtrip, axiom,  (! [A] :  ( (v1_int_1(A) & v1_abian(A))  => v1_abian(k1_square_1(A))) ) ).
fof(fc5_pythtrip, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v1_abian(A)) )  =>  ~ (v1_abian(k1_square_1(A))) ) ) ).
fof(fc6_pythtrip, axiom,  (! [A, B] :  ( ( (v1_int_1(A) &  ( ~ (v1_abian(A))  & v1_pythtrip(A)) )  &  (v1_int_1(B) &  ( ~ (v1_abian(B))  & v1_pythtrip(B)) ) )  =>  ~ (v1_pythtrip(k2_xcmplx_0(A, B))) ) ) ).
fof(cc2_pythtrip, axiom,  (! [A] :  (m1_pythtrip(A) => v1_finset_1(A)) ) ).
fof(rc5_pythtrip, axiom,  (? [A] :  (m1_pythtrip(A) &  ( ~ (v10_ordinal1(A))  &  (v1_finset_1(A) & v2_pythtrip(A)) ) ) ) ).
fof(d1_pythtrip, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_int_2(A, B) <=>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_nat_d(C, A) & r1_nat_d(C, B))  => C=1) ) ) ) ) ) ) ) ).
fof(d2_pythtrip, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_int_2(A, B) <=>  (! [C] :  ( (v7_ordinal1(C) & v1_int_2(C))  =>  ~ ( (r1_nat_d(C, A) & r1_nat_d(C, B)) ) ) ) ) ) ) ) ) ).
fof(d3_pythtrip, axiom,  (! [A] :  (v1_pythtrip(A) <=>  (? [B] :  (v7_ordinal1(B) & A=k1_pepin(B)) ) ) ) ).
fof(t1_pythtrip, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ( (v1_pythtrip(k2_nat_1(A, B)) & r1_int_2(A, B))  =>  (v1_pythtrip(A) & v1_pythtrip(B)) ) ) ) ) ) ).
fof(t2_pythtrip, axiom,  (! [A] :  (v1_int_1(A) =>  (v1_abian(A) <=> v1_abian(k1_pepin(A))) ) ) ).
fof(t3_pythtrip, axiom,  (! [A] :  (v1_int_1(A) =>  (v1_abian(A) => k4_nat_d(k1_pepin(A), 4)=k5_numbers) ) ) ).
fof(t4_pythtrip, axiom,  (! [A] :  (v1_int_1(A) =>  ( ~ (v1_abian(A))  => k4_nat_d(k1_pepin(A), 4)=1) ) ) ).
fof(t5_pythtrip, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (k1_pepin(A)=k1_pepin(B) => A=B) ) ) ) ) ).
fof(t6_pythtrip, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (r1_nat_d(A, B) <=> r1_nat_d(k1_pepin(A), k1_pepin(B))) ) ) ) ) ).
fof(t7_pythtrip, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (r1_nat_d(B, C) | A=k5_numbers)  <=> r1_nat_d(k2_nat_1(A, B), k2_nat_1(A, C))) ) ) ) ) ) ) ).
fof(t8_pythtrip, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => k6_nat_d(k2_nat_1(A, B), k2_nat_1(A, C))=k2_nat_1(A, k6_nat_d(B, C))) ) ) ) ) ) ).
fof(t9_pythtrip, axiom,  (! [A] :  ~ ( ( (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (r1_xxreal_0(B, C) & r2_tarski(C, A)) ) ) ) )  & v1_finset_1(A)) ) ) ).
fof(t10_pythtrip, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ~ ( (r1_int_2(A, B) &  (v1_abian(A) & v1_abian(B)) ) ) ) ) ) ) ).
fof(t11_pythtrip, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ~ ( (k1_nat_1(k1_pepin(A), k1_pepin(B))=k1_pepin(C) &  (r1_int_2(A, B) &  ( ~ (v1_abian(A))  &  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ~ ( (r1_xxreal_0(D, E) &  (A=k6_xcmplx_0(k1_pepin(E), k1_pepin(D)) &  (B=k2_nat_1(k2_nat_1(2, D), E) & C=k1_nat_1(k1_pepin(E), k1_pepin(D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_pythtrip, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  ( (A=k6_xcmplx_0(k1_pepin(E), k1_pepin(D)) &  (B=k2_nat_1(k2_nat_1(2, D), E) & C=k1_nat_1(k1_pepin(E), k1_pepin(D))) )  => k1_nat_1(k1_pepin(A), k1_pepin(B))=k1_pepin(C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_pythtrip, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k4_ordinal1)) =>  (m1_pythtrip(A) <=>  (? [B] :  (m1_subset_1(B, k4_ordinal1) &  (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (? [D] :  (m1_subset_1(D, k4_ordinal1) &  (k1_nat_1(k1_pepin(B), k1_pepin(C))=k1_pepin(D) & A=k8_domain_1(k4_ordinal1, B, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(d5_pythtrip, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k4_ordinal1)) =>  (m1_pythtrip(A) <=>  (? [B] :  (m1_subset_1(B, k4_ordinal1) &  (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (? [D] :  (m1_subset_1(D, k4_ordinal1) &  (r1_xxreal_0(C, D) & A=k1_enumset1(k3_xcmplx_0(B, k6_xcmplx_0(k1_pepin(D), k1_pepin(C))), k2_nat_1(B, k2_nat_1(k2_nat_1(2, C), D)), k2_nat_1(B, k1_nat_1(k1_pepin(D), k1_pepin(C))))) ) ) ) ) ) ) ) ) ) ).
fof(t13_pythtrip, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ~ ( ( ~ (r1_xxreal_0(A, 2))  &  (! [B] :  (m1_pythtrip(B) =>  ~ ( ( ~ (v10_ordinal1(B))  & r2_tarski(A, B)) ) ) ) ) ) ) ) ).
fof(d7_pythtrip, axiom,  (! [A] :  (m1_pythtrip(A) =>  (v2_pythtrip(A) <=>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ( (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r2_tarski(C, A) => r1_nat_d(B, C)) ) )  => B=1) ) ) ) ) ) ).
fof(d8_pythtrip, axiom,  (! [A] :  (m1_pythtrip(A) =>  (v2_pythtrip(A) <=>  (? [B] :  (m1_subset_1(B, k4_ordinal1) &  (? [C] :  (m1_subset_1(C, k4_ordinal1) &  (r2_tarski(B, A) &  (r2_tarski(C, A) & r1_int_2(B, C)) ) ) ) ) ) ) ) ) ).
fof(t14_pythtrip, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  (! [B] :  (m1_pythtrip(B) =>  ~ ( ( ~ (v10_ordinal1(B))  &  (v2_pythtrip(B) & r2_tarski(k2_nat_1(4, A), B)) ) ) ) ) ) ) ) ) ).
fof(t15_pythtrip, axiom,  ( ~ (v10_ordinal1(k8_domain_1(k4_ordinal1, 3, 4, 5)))  &  (v2_pythtrip(k8_domain_1(k4_ordinal1, 3, 4, 5)) & m1_pythtrip(k8_domain_1(k4_ordinal1, 3, 4, 5))) ) ).
fof(dt_m1_pythtrip, axiom,  (! [A] :  (m1_pythtrip(A) => m1_subset_1(A, k1_zfmisc_1(k4_ordinal1))) ) ).
fof(existence_m1_pythtrip, axiom,  (? [A] : m1_pythtrip(A)) ).
fof(t16_pythtrip, axiom,  ~ (v1_finset_1(a_0_0_pythtrip)) ).
fof(fraenkel_a_0_0_pythtrip, axiom,  (! [A] :  (r2_hidden(A, a_0_0_pythtrip) <=>  (? [B] :  (m1_pythtrip(B) &  (A=B &  ( ~ (v10_ordinal1(B))  & v2_pythtrip(B)) ) ) ) ) ) ).
fof(fc1_pzfmisc1, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v1_relat_1(k1_pzfmisc1(A, B)) &  (v2_relat_1(k1_pzfmisc1(A, B)) &  (v4_relat_1(k1_pzfmisc1(A, B), A) &  (v1_funct_1(k1_pzfmisc1(A, B)) &  (v1_partfun1(k1_pzfmisc1(A, B), A) & v2_finset_1(k1_pzfmisc1(A, B))) ) ) ) ) ) ) ).
fof(fc2_pzfmisc1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (v1_relat_1(k2_pzfmisc1(A, B, C)) &  (v2_relat_1(k2_pzfmisc1(A, B, C)) &  (v4_relat_1(k2_pzfmisc1(A, B, C), A) &  (v1_funct_1(k2_pzfmisc1(A, B, C)) &  (v1_partfun1(k2_pzfmisc1(A, B, C), A) & v2_finset_1(k2_pzfmisc1(A, B, C))) ) ) ) ) ) ) ).
fof(t1_pzfmisc1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) & v1_partfun1(D, B)) ) )  =>  (r2_hidden(A, B) => k9_xtuple_0(k1_funct_4(D, k17_funcop_1(A, C)))=B) ) ) ) ) ) ).
fof(t2_pzfmisc1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (A=k1_xboole_0 =>  (v1_relat_1(A) &  (v4_relat_1(A, k1_xboole_0) &  (v1_funct_1(A) & v1_partfun1(A, k1_xboole_0)) ) ) ) ) ) ).
fof(t3_pzfmisc1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  ~ ( (v3_relat_1(B) & v2_relat_1(B)) ) ) ) ) ) ).
fof(d1_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (C=k1_pzfmisc1(A, B) <=>  (! [D] :  (r2_hidden(D, A) => k1_funct_1(C, D)=k1_tarski(k1_funct_1(B, D))) ) ) ) ) ) ) ) ).
fof(d2_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (D=k2_pzfmisc1(A, B, C) <=>  (! [E] :  (r2_hidden(E, A) => k1_funct_1(D, E)=k2_tarski(k1_funct_1(B, E), k1_funct_1(C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t4_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r6_pboole(A, C, k1_pzfmisc1(A, B)) <=>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r1_pboole(A, D, C) <=> r6_pboole(A, D, B)) ) ) ) ) ) ) ) ) ).
fof(t5_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ( (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) )  =>  (r1_pboole(A, E, D) <=>  (r6_pboole(A, E, B) | r6_pboole(A, E, C)) ) ) )  => r6_pboole(A, D, k2_pzfmisc1(A, B, C))) ) ) ) ) ) ) ) ).
fof(t6_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r6_pboole(A, D, k2_pzfmisc1(A, B, C)) =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) )  =>  ( (r6_pboole(A, E, B) | r6_pboole(A, E, C))  => r1_pboole(A, E, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r1_pboole(A, B, k1_pzfmisc1(A, C)) => r6_pboole(A, B, C)) ) ) ) ) ) ).
fof(t8_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => r1_pboole(A, B, k1_pzfmisc1(A, B))) ) ) ).
fof(t9_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ( (r6_pboole(A, B, C) | r6_pboole(A, B, D))  => r1_pboole(A, B, k2_pzfmisc1(A, C, D))) ) ) ) ) ) ) ) ).
fof(t10_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r6_pboole(A, k2_pboole(A, k1_pzfmisc1(A, B), k1_pzfmisc1(A, C)), k2_pzfmisc1(A, B, C))) ) ) ) ) ).
fof(t11_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => r6_pboole(A, k2_pzfmisc1(A, B, B), k1_pzfmisc1(A, B))) ) ) ).
fof(t12_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r2_pboole(A, k1_pzfmisc1(A, B), k1_pzfmisc1(A, C)) => r6_pboole(A, B, C)) ) ) ) ) ) ).
fof(t13_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r6_pboole(A, k1_pzfmisc1(A, B), k1_pzfmisc1(A, C)) => r6_pboole(A, B, C)) ) ) ) ) ) ).
fof(t14_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r6_pboole(A, k1_pzfmisc1(A, B), k2_pzfmisc1(A, C, D)) =>  (r6_pboole(A, B, C) & r6_pboole(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t15_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r6_pboole(A, k1_pzfmisc1(A, B), k2_pzfmisc1(A, C, D)) => r6_pboole(A, C, D)) ) ) ) ) ) ) ) ).
fof(t16_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r2_pboole(A, k1_pzfmisc1(A, B), k2_pzfmisc1(A, B, C)) & r2_pboole(A, k1_pzfmisc1(A, C), k2_pzfmisc1(A, B, C))) ) ) ) ) ) ).
fof(t17_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r6_pboole(A, k2_pboole(A, k1_pzfmisc1(A, B), k1_pzfmisc1(A, C)), k1_pzfmisc1(A, B)) => r6_pboole(A, B, C)) ) ) ) ) ) ).
fof(t18_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r6_pboole(A, k2_pboole(A, k1_pzfmisc1(A, B), k2_pzfmisc1(A, B, C)), k2_pzfmisc1(A, B, C))) ) ) ) ) ).
fof(t19_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  ~ ( ( ~ (v1_xboole_0(A))  &  (r6_pboole(A, k3_pboole(A, k1_pzfmisc1(A, B), k1_pzfmisc1(A, C)), k1_pboole(A)) & B=C) ) ) ) ) ) ) ) ).
fof(t20_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r6_pboole(A, k3_pboole(A, k1_pzfmisc1(A, B), k1_pzfmisc1(A, C)), k1_pzfmisc1(A, B)) => r6_pboole(A, B, C)) ) ) ) ) ) ).
fof(t21_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r6_pboole(A, k3_pboole(A, k1_pzfmisc1(A, B), k2_pzfmisc1(A, B, C)), k1_pzfmisc1(A, B))) ) ) ) ) ).
fof(t22_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  ~ ( ( ~ (v1_xboole_0(A))  &  (r6_pboole(A, k4_pboole(A, k1_pzfmisc1(A, B), k1_pzfmisc1(A, C)), k1_pzfmisc1(A, B)) & B=C) ) ) ) ) ) ) ) ).
fof(t23_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r6_pboole(A, k4_pboole(A, k1_pzfmisc1(A, B), k1_pzfmisc1(A, C)), k1_pboole(A)) => r6_pboole(A, B, C)) ) ) ) ) ) ).
fof(t24_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r6_pboole(A, k4_pboole(A, k1_pzfmisc1(A, B), k2_pzfmisc1(A, B, C)), k1_pboole(A))) ) ) ) ) ).
fof(t25_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r2_pboole(A, k1_pzfmisc1(A, B), k1_pzfmisc1(A, C)) => r6_pboole(A, k1_pzfmisc1(A, B), k1_pzfmisc1(A, C))) ) ) ) ) ) ).
fof(t26_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r2_pboole(A, k2_pzfmisc1(A, B, C), k1_pzfmisc1(A, D)) =>  (r6_pboole(A, B, D) & r6_pboole(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t27_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r2_pboole(A, k2_pzfmisc1(A, B, C), k1_pzfmisc1(A, D)) => r6_pboole(A, k2_pzfmisc1(A, B, C), k1_pzfmisc1(A, D))) ) ) ) ) ) ) ) ).
fof(t28_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => r6_pboole(A, k1_mboolean(A, k1_pzfmisc1(A, B)), k2_pzfmisc1(A, k1_pboole(A), k1_pzfmisc1(A, B)))) ) ) ).
fof(t29_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => r2_pboole(A, k1_pzfmisc1(A, B), k1_mboolean(A, B))) ) ) ).
fof(t30_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  => r6_pboole(A, k2_mboolean(A, k1_pzfmisc1(A, B)), B)) ) ) ).
fof(t31_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r6_pboole(A, k2_mboolean(A, k2_pzfmisc1(A, k1_pzfmisc1(A, B), k1_pzfmisc1(A, C))), k2_pzfmisc1(A, B, C))) ) ) ) ) ).
fof(t32_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  => r6_pboole(A, k2_mboolean(A, k2_pzfmisc1(A, B, C)), k2_pboole(A, B, C))) ) ) ) ) ).
fof(t33_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r2_pboole(A, k1_pzfmisc1(A, B), C) <=> r1_pboole(A, B, C)) ) ) ) ) ) ).
fof(t34_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r2_pboole(A, k2_pzfmisc1(A, B, C), D) <=>  (r1_pboole(A, B, D) & r1_pboole(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t35_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ( ~ ( ( ~ (r6_pboole(A, D, k1_pboole(A)))  &  ( ~ (r6_pboole(A, D, k1_pzfmisc1(A, B)))  &  ( ~ (r6_pboole(A, D, k1_pzfmisc1(A, C)))  &  ~ (r6_pboole(A, D, k2_pzfmisc1(A, B, C))) ) ) ) )  => r2_pboole(A, D, k2_pzfmisc1(A, B, C))) ) ) ) ) ) ) ) ).
fof(t36_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ( (r1_pboole(A, B, C) | r6_pboole(A, B, D))  => r1_pboole(A, B, k2_pboole(A, C, k1_pzfmisc1(A, D)))) ) ) ) ) ) ) ) ).
fof(t37_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r2_pboole(A, k2_pboole(A, C, k1_pzfmisc1(A, B)), D) <=>  (r1_pboole(A, B, D) & r2_pboole(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t38_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r6_pboole(A, k2_pboole(A, k1_pzfmisc1(A, B), C), C) => r1_pboole(A, B, C)) ) ) ) ) ) ).
fof(t39_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r1_pboole(A, B, C) => r6_pboole(A, k2_pboole(A, k1_pzfmisc1(A, B), C), C)) ) ) ) ) ) ).
fof(t40_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r6_pboole(A, k2_pboole(A, k2_pzfmisc1(A, B, C), D), D) <=>  (r1_pboole(A, B, D) & r1_pboole(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t41_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  ~ ( ( ~ (v1_xboole_0(A))  & k2_pboole(A, k1_pzfmisc1(A, B), C)=k1_pboole(A)) ) ) ) ) ) ) ).
fof(t42_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ~ ( ( ~ (v1_xboole_0(A))  & k2_pboole(A, k2_pzfmisc1(A, B, C), D)=k1_pboole(A)) ) ) ) ) ) ) ) ) ).
fof(t43_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r6_pboole(A, k3_pboole(A, C, k1_pzfmisc1(A, B)), k1_pzfmisc1(A, B)) => r1_pboole(A, B, C)) ) ) ) ) ) ).
fof(t44_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r1_pboole(A, B, C) => r6_pboole(A, k3_pboole(A, C, k1_pzfmisc1(A, B)), k1_pzfmisc1(A, B))) ) ) ) ) ) ).
fof(t45_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ( (r1_pboole(A, B, D) & r1_pboole(A, C, D))  <=> r6_pboole(A, k3_pboole(A, k2_pzfmisc1(A, B, C), D), k2_pzfmisc1(A, B, C))) ) ) ) ) ) ) ) ).
fof(t46_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  ~ ( ( ~ (v1_xboole_0(A))  &  (r6_pboole(A, k3_pboole(A, k1_pzfmisc1(A, B), C), k1_pboole(A)) & r1_pboole(A, B, C)) ) ) ) ) ) ) ) ).
fof(t47_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r6_pboole(A, k3_pboole(A, k2_pzfmisc1(A, B, C), D), k1_pboole(A)) =>  (v1_xboole_0(A) |  ( ~ (r1_pboole(A, B, D))  &  ~ (r1_pboole(A, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r1_pboole(A, C, k4_pboole(A, D, k1_pzfmisc1(A, B))) => r1_pboole(A, C, D)) ) ) ) ) ) ) ) ).
fof(t49_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ~ ( ( ~ (v1_xboole_0(A))  &  (r1_pboole(A, C, k4_pboole(A, D, k1_pzfmisc1(A, B))) & C=B) ) ) ) ) ) ) ) ) ) ).
fof(t50_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  ~ ( ( ~ (v1_xboole_0(A))  &  (r6_pboole(A, k4_pboole(A, C, k1_pzfmisc1(A, B)), C) & r1_pboole(A, B, C)) ) ) ) ) ) ) ) ).
fof(t51_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  ~ ( ( ~ (v1_xboole_0(A))  &  (r6_pboole(A, k4_pboole(A, k1_pzfmisc1(A, B), C), k1_pzfmisc1(A, B)) & r1_pboole(A, B, C)) ) ) ) ) ) ) ) ).
fof(t52_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r6_pboole(A, k4_pboole(A, k1_pzfmisc1(A, B), C), k1_pboole(A)) <=> r1_pboole(A, B, C)) ) ) ) ) ) ).
fof(t53_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ~ ( ( ~ (v1_xboole_0(A))  &  (r6_pboole(A, k4_pboole(A, k2_pzfmisc1(A, B, C), D), k1_pzfmisc1(A, B)) & r1_pboole(A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t54_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r6_pboole(A, k4_pboole(A, k2_pzfmisc1(A, B, C), D), k2_pzfmisc1(A, B, C)) =>  (v1_xboole_0(A) |  ( ~ (r1_pboole(A, B, D))  &  ~ (r1_pboole(A, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r6_pboole(A, k4_pboole(A, k2_pzfmisc1(A, B, C), D), k1_pboole(A)) <=>  (r1_pboole(A, B, D) & r1_pboole(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t56_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  ( ~ ( ( ~ (r6_pboole(A, D, k1_pboole(A)))  &  ( ~ (r6_pboole(A, D, k1_pzfmisc1(A, B)))  &  ( ~ (r6_pboole(A, D, k1_pzfmisc1(A, C)))  &  ~ (r6_pboole(A, D, k2_pzfmisc1(A, B, C))) ) ) ) )  => r6_pboole(A, k4_pboole(A, D, k2_pzfmisc1(A, B, C)), k1_pboole(A))) ) ) ) ) ) ) ) ).
fof(t57_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  ( (r6_pboole(A, B, k1_pboole(A)) | r6_pboole(A, C, k1_pboole(A)))  => r6_pboole(A, k6_pboole(A, B, C), k1_pboole(A))) ) ) ) ) ) ).
fof(t58_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  ( (v2_relat_1(B) &  (v2_relat_1(C) & r6_pboole(A, k6_pboole(A, B, C), k6_pboole(A, C, B))) )  => r6_pboole(A, B, C)) ) ) ) ) ) ).
fof(t59_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r6_pboole(A, k6_pboole(A, B, B), k6_pboole(A, C, C)) => r6_pboole(A, B, C)) ) ) ) ) ) ).
fof(t60_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (v2_relat_1(D) =>  ( ( ~ (r2_pboole(A, k6_pboole(A, B, D), k6_pboole(A, C, D)))  &  ~ (r2_pboole(A, k6_pboole(A, D, B), k6_pboole(A, D, C))) )  | r2_pboole(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t61_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r2_pboole(A, B, C) =>  (r2_pboole(A, k6_pboole(A, B, D), k6_pboole(A, C, D)) & r2_pboole(A, k6_pboole(A, D, B), k6_pboole(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t62_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) )  =>  ( (r2_pboole(A, B, D) & r2_pboole(A, C, E))  => r2_pboole(A, k6_pboole(A, B, C), k6_pboole(A, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t63_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r6_pboole(A, k6_pboole(A, k2_pboole(A, B, C), D), k2_pboole(A, k6_pboole(A, B, D), k6_pboole(A, C, D))) & r6_pboole(A, k6_pboole(A, D, k2_pboole(A, B, C)), k2_pboole(A, k6_pboole(A, D, B), k6_pboole(A, D, C)))) ) ) ) ) ) ) ) ).
fof(t64_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) )  => r6_pboole(A, k6_pboole(A, k2_pboole(A, B, C), k2_pboole(A, D, E)), k2_pboole(A, k2_pboole(A, k2_pboole(A, k6_pboole(A, B, D), k6_pboole(A, B, E)), k6_pboole(A, C, D)), k6_pboole(A, C, E)))) ) ) ) ) ) ) ) ) ).
fof(t65_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r6_pboole(A, k6_pboole(A, k3_pboole(A, B, C), D), k3_pboole(A, k6_pboole(A, B, D), k6_pboole(A, C, D))) & r6_pboole(A, k6_pboole(A, D, k3_pboole(A, B, C)), k3_pboole(A, k6_pboole(A, D, B), k6_pboole(A, D, C)))) ) ) ) ) ) ) ) ).
fof(t66_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) )  => r6_pboole(A, k6_pboole(A, k3_pboole(A, B, C), k3_pboole(A, D, E)), k3_pboole(A, k6_pboole(A, B, D), k6_pboole(A, C, E)))) ) ) ) ) ) ) ) ) ).
fof(t67_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) )  =>  ( (r2_pboole(A, B, D) & r2_pboole(A, C, E))  => r6_pboole(A, k3_pboole(A, k6_pboole(A, B, E), k6_pboole(A, D, C)), k6_pboole(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t68_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r6_pboole(A, k6_pboole(A, k4_pboole(A, B, C), D), k4_pboole(A, k6_pboole(A, B, D), k6_pboole(A, C, D))) & r6_pboole(A, k6_pboole(A, D, k4_pboole(A, B, C)), k4_pboole(A, k6_pboole(A, D, B), k6_pboole(A, D, C)))) ) ) ) ) ) ) ) ).
fof(t69_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) )  => r6_pboole(A, k4_pboole(A, k6_pboole(A, B, C), k6_pboole(A, D, E)), k2_pboole(A, k6_pboole(A, k4_pboole(A, B, D), C), k6_pboole(A, B, k4_pboole(A, C, E))))) ) ) ) ) ) ) ) ) ).
fof(t70_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) )  =>  ( (r6_pboole(A, k3_pboole(A, B, C), k1_pboole(A)) | r6_pboole(A, k3_pboole(A, D, E), k1_pboole(A)))  => r6_pboole(A, k3_pboole(A, k6_pboole(A, B, D), k6_pboole(A, C, E)), k1_pboole(A))) ) ) ) ) ) ) ) ) ) ).
fof(t71_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (v2_relat_1(C) =>  (v2_relat_1(k6_pboole(A, k1_pzfmisc1(A, B), C)) & v2_relat_1(k6_pboole(A, C, k1_pzfmisc1(A, B)))) ) ) ) ) ) ) ).
fof(t72_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (r6_pboole(A, k6_pboole(A, k2_pzfmisc1(A, B, C), D), k2_pboole(A, k6_pboole(A, k1_pzfmisc1(A, B), D), k6_pboole(A, k1_pzfmisc1(A, C), D))) & r6_pboole(A, k6_pboole(A, D, k2_pzfmisc1(A, B, C)), k2_pboole(A, k6_pboole(A, D, k1_pzfmisc1(A, B)), k6_pboole(A, D, k1_pzfmisc1(A, C))))) ) ) ) ) ) ) ) ).
fof(t73_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) )  =>  ( (v2_relat_1(B) &  (v2_relat_1(D) & r6_pboole(A, k6_pboole(A, B, D), k6_pboole(A, C, E))) )  =>  (r6_pboole(A, B, C) & r6_pboole(A, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t74_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  ( (r2_pboole(A, B, k6_pboole(A, B, C)) | r2_pboole(A, B, k6_pboole(A, C, B)))  => r6_pboole(A, B, k1_pboole(A))) ) ) ) ) ) ).
fof(t75_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) & v1_partfun1(F, A)) ) )  =>  ( (r1_pboole(A, D, k6_pboole(A, B, C)) & r1_pboole(A, D, k6_pboole(A, E, F)))  => r1_pboole(A, D, k6_pboole(A, k3_pboole(A, B, E), k3_pboole(A, C, F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t76_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) )  =>  ( (r2_pboole(A, k6_pboole(A, B, D), k6_pboole(A, C, E)) & v2_relat_1(k6_pboole(A, B, D)))  =>  (r2_pboole(A, B, C) & r2_pboole(A, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t77_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r2_pboole(A, B, C) => r2_pboole(A, k6_pboole(A, B, B), k6_pboole(A, C, C))) ) ) ) ) ) ).
fof(t78_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r6_pboole(A, k3_pboole(A, B, C), k1_pboole(A)) => r6_pboole(A, k3_pboole(A, k6_pboole(A, B, C), k6_pboole(A, C, B)), k1_pboole(A))) ) ) ) ) ) ).
fof(t79_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) )  =>  (v2_relat_1(B) =>  ( ( ~ (r2_pboole(A, k6_pboole(A, B, C), k6_pboole(A, D, E)))  &  ~ (r2_pboole(A, k6_pboole(A, C, B), k6_pboole(A, E, D))) )  | r2_pboole(A, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t80_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v1_funct_1(E) & v1_partfun1(E, A)) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) & v1_partfun1(F, A)) ) )  =>  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, A) &  (v1_funct_1(G) & v1_partfun1(G, A)) ) )  =>  ( (r2_pboole(A, B, k6_pboole(A, D, E)) & r2_pboole(A, C, k6_pboole(A, F, G)))  => r2_pboole(A, k2_pboole(A, B, C), k6_pboole(A, k2_pboole(A, D, F), k2_pboole(A, E, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_pzfmisc1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) )  =>  (r1_pzfmisc1(A, B, C) <=>  (! [D] :  ( (r2_tarski(D, A) & k1_funct_1(C, D)=k1_xboole_0)  => k1_funct_1(B, D)=k1_xboole_0) ) ) ) ) ) ) ) ).
fof(dt_k1_pzfmisc1, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v1_relat_1(k1_pzfmisc1(A, B)) &  (v4_relat_1(k1_pzfmisc1(A, B), A) &  (v1_funct_1(k1_pzfmisc1(A, B)) & v1_partfun1(k1_pzfmisc1(A, B), A)) ) ) ) ) ).
fof(dt_k2_pzfmisc1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (v1_relat_1(k2_pzfmisc1(A, B, C)) &  (v4_relat_1(k2_pzfmisc1(A, B, C), A) &  (v1_funct_1(k2_pzfmisc1(A, B, C)) & v1_partfun1(k2_pzfmisc1(A, B, C), A)) ) ) ) ) ).
fof(commutativity_k2_pzfmisc1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  => k2_pzfmisc1(A, B, C)=k2_pzfmisc1(A, C, B)) ) ).
fof(reflexivity_r1_pzfmisc1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  => r1_pzfmisc1(A, B, B)) ) ).
fof(cc1_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (v1_relat_1(A) &  ~ (v1_xboole_0(A)) ) ) ) ).
fof(fc1_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  ~ (v1_xboole_0(k1_qc_lang1(A))) ) ) ).
fof(fc2_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  ~ (v1_xboole_0(k2_qc_lang1(A))) ) ) ).
fof(fc3_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  ~ (v1_xboole_0(k3_qc_lang1(A))) ) ) ).
fof(fc4_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  ~ (v1_xboole_0(k4_qc_lang1(A))) ) ) ).
fof(fc5_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  ~ (v1_xboole_0(k5_qc_lang1(A))) ) ) ).
fof(fc6_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  ~ (v1_xboole_0(k6_qc_lang1(A))) ) ) ).
fof(fc7_qc_lang1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_qc_lang1(B))  =>  ~ (v1_xboole_0(k8_qc_lang1(B, A))) ) ) ).
fof(rc1_qc_lang1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_qc_lang1(B))  =>  (? [C] :  (m1_finseq_1(C, k2_qc_lang1(B)) &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, k2_qc_lang1(B)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v3_card_1(C, A) &  (v1_finseq_1(C) & v2_finseq_1(C)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (? [B] :  ( ~ (v1_xboole_0(B))  & v1_qc_lang1(B, A)) ) ) ) ).
fof(t1_qc_lang1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (m1_subset_1(C, A) => r1_tarski(k2_zfmisc_1(k1_tarski(C), B), k2_zfmisc_1(A, B))) ) ) ) ) ).
fof(t2_qc_lang1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) => r1_tarski(k2_zfmisc_1(k1_enumset1(C, D, E), B), k2_zfmisc_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(d1_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) <=>  ( ~ (v1_xboole_0(A))  &  (? [B] :  (r1_tarski(k4_ordinal1, B) & A=k2_zfmisc_1(k4_ordinal1, B)) ) ) ) ) ).
fof(d2_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) => k1_qc_lang1(A)=k10_xtuple_0(A)) ) ).
fof(t3_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (r1_tarski(k4_ordinal1, k1_qc_lang1(A)) & r2_tarski(k5_numbers, k1_qc_lang1(A))) ) ) ).
fof(d3_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) => k2_qc_lang1(A)=k2_xboole_0(k2_zfmisc_1(k1_tarski(6), k4_ordinal1), k2_zfmisc_1(k2_tarski(4, 5), k1_qc_lang1(A)))) ) ).
fof(t4_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) => r1_tarski(k2_qc_lang1(A), k2_zfmisc_1(k4_ordinal1, k1_qc_lang1(A)))) ) ).
fof(d4_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) => k3_qc_lang1(A)=k2_zfmisc_1(k1_tarski(4), k1_qc_lang1(A))) ) ).
fof(d5_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) => k4_qc_lang1(A)=k2_zfmisc_1(k1_tarski(5), k1_qc_lang1(A))) ) ).
fof(d6_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) => k5_qc_lang1(A)=k2_zfmisc_1(k1_tarski(6), k4_ordinal1)) ) ).
fof(t5_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) => A=k2_zfmisc_1(k4_ordinal1, k1_qc_lang1(A))) ) ).
fof(t6_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) => r1_tarski(k6_qc_lang1(A), k2_zfmisc_1(k4_ordinal1, k1_qc_lang1(A)))) ) ).
fof(d8_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k6_qc_lang1(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (C=k7_qc_lang1(A, B) <=> k1_xtuple_0(B)=k2_xcmplx_0(7, C)) ) ) ) ) ) ) ).
fof(d10_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v1_qc_lang1(B, A) <=>  (m1_subset_1(B, k1_zfmisc_1(k13_finseq_1(k2_zfmisc_1(k4_ordinal1, k1_qc_lang1(A))))) &  ( (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_subset_1(D, k6_qc_lang1(A), k8_qc_lang1(A, C)) =>  (! [E] :  ( (v3_card_1(E, C) & m2_finseq_1(E, k2_qc_lang1(A)))  => r2_tarski(k7_finseq_1(k12_finseq_1(k8_qc_lang1(A, C), D), E), B)) ) ) ) ) )  &  (r2_tarski(k9_finseq_1(k4_tarski(k5_numbers, k5_numbers)), B) &  ( (! [C] :  (m2_finseq_1(C, k2_zfmisc_1(k4_ordinal1, k1_qc_lang1(A))) =>  (r2_tarski(C, B) => r2_tarski(k7_finseq_1(k9_finseq_1(k4_tarski(1, k5_numbers)), C), B)) ) )  &  ( (! [C] :  (m2_finseq_1(C, k2_zfmisc_1(k4_ordinal1, k1_qc_lang1(A))) =>  (! [D] :  (m2_finseq_1(D, k2_zfmisc_1(k4_ordinal1, k1_qc_lang1(A))) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k7_finseq_1(k7_finseq_1(k9_finseq_1(k4_tarski(2, k5_numbers)), C), D), B)) ) ) ) )  &  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_finseq_1(D, k2_zfmisc_1(k4_ordinal1, k1_qc_lang1(A))) =>  (r2_tarski(D, B) => r2_tarski(k7_finseq_1(k7_finseq_1(k9_finseq_1(k4_tarski(3, k5_numbers)), k12_finseq_1(k3_qc_lang1(A), C)), D), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (B=k9_qc_lang1(A) <=>  (v1_qc_lang1(B, A) &  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (v1_qc_lang1(C, A) => r1_tarski(B, C)) ) ) ) ) ) ) ) ) ).
fof(t7_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) => v1_qc_lang1(k9_qc_lang1(A), A)) ) ).
fof(d12_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k6_qc_lang1(A)) =>  (! [C] :  (m2_finseq_1(C, k2_qc_lang1(A)) =>  (k7_qc_lang1(A, B)=k3_finseq_1(C) => k10_qc_lang1(A, B, C)=k7_finseq_1(k12_finseq_1(k6_qc_lang1(A), B), C)) ) ) ) ) ) ) ).
fof(t8_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_subset_1(C, k6_qc_lang1(A), k8_qc_lang1(A, B)) =>  (! [D] :  ( (v3_card_1(D, B) & m2_finseq_1(D, k2_qc_lang1(A)))  => k10_qc_lang1(A, C, D)=k7_finseq_1(k12_finseq_1(k8_qc_lang1(A, B), C), D)) ) ) ) ) ) ) ) ).
fof(d13_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) => k11_qc_lang1(A, B)=B) ) ) ) ).
fof(d14_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) => k12_qc_lang1(A)=k9_finseq_1(k4_tarski(k5_numbers, k5_numbers))) ) ).
fof(d15_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) => k13_qc_lang1(A, B)=k7_finseq_1(k9_finseq_1(k4_tarski(1, k5_numbers)), k11_qc_lang1(A, B))) ) ) ) ).
fof(d16_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) => k14_qc_lang1(A, B, C)=k7_finseq_1(k7_finseq_1(k9_finseq_1(k4_tarski(2, k5_numbers)), k11_qc_lang1(A, B)), k11_qc_lang1(A, C))) ) ) ) ) ) ).
fof(d17_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) => k15_qc_lang1(A, B, C)=k7_finseq_1(k7_finseq_1(k9_finseq_1(k4_tarski(3, k5_numbers)), k12_finseq_1(k3_qc_lang1(A), B)), k11_qc_lang1(A, C))) ) ) ) ) ) ).
fof(d18_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v2_qc_lang1(B, A) <=>  (? [C] :  (v7_ordinal1(C) &  (? [D] :  (m2_subset_1(D, k6_qc_lang1(A), k8_qc_lang1(A, C)) &  (? [E] :  ( (v3_card_1(E, C) & m2_finseq_1(E, k2_qc_lang1(A)))  & B=k10_qc_lang1(A, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v3_qc_lang1(B, A) <=>  (? [C] :  (m1_subset_1(C, k9_qc_lang1(A)) & B=k13_qc_lang1(A, C)) ) ) ) ) ) ) ).
fof(d20_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v4_qc_lang1(B, A) <=>  (? [C] :  (m1_subset_1(C, k9_qc_lang1(A)) &  (? [D] :  (m1_subset_1(D, k9_qc_lang1(A)) & B=k14_qc_lang1(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(d21_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v5_qc_lang1(B, A) <=>  (? [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) &  (? [D] :  (m1_subset_1(D, k9_qc_lang1(A)) & B=k15_qc_lang1(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t9_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  ~ ( ( ~ (B=k12_qc_lang1(A))  &  ( ~ (v2_qc_lang1(B, A))  &  ( ~ (v3_qc_lang1(B, A))  &  ( ~ (v4_qc_lang1(B, A))  &  ~ (v5_qc_lang1(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(t10_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) => r1_xxreal_0(1, k3_finseq_1(k11_qc_lang1(A, B)))) ) ) ) ).
fof(t11_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_subset_1(C, k6_qc_lang1(A), k8_qc_lang1(A, B)) => k7_qc_lang1(A, C)=B) ) ) ) ) ) ).
fof(t12_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  ( (k1_xtuple_0(k1_funct_1(k11_qc_lang1(A, B), 1))=k5_numbers => B=k12_qc_lang1(A))  &  ( (k1_xtuple_0(k1_funct_1(k11_qc_lang1(A, B), 1))=1 => v3_qc_lang1(B, A))  &  ( (k1_xtuple_0(k1_funct_1(k11_qc_lang1(A, B), 1))=2 => v4_qc_lang1(B, A))  &  ( (k1_xtuple_0(k1_funct_1(k11_qc_lang1(A, B), 1))=3 => v5_qc_lang1(B, A))  &  ( (? [C] :  (v7_ordinal1(C) & m2_subset_1(k1_funct_1(k11_qc_lang1(A, B), 1), k6_qc_lang1(A), k8_qc_lang1(A, C))) )  => v2_qc_lang1(B, A)) ) ) ) ) ) ) ) ) ).
fof(t13_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (k11_qc_lang1(A, B)=k7_finseq_1(k11_qc_lang1(A, C), D) => k11_qc_lang1(A, B)=k11_qc_lang1(A, C)) ) ) ) ) ) ) ) ) ).
fof(d22_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v2_qc_lang1(B, A) =>  (! [C] :  (m1_subset_1(C, k6_qc_lang1(A)) =>  (C=k16_qc_lang1(A, B) <=>  (? [D] :  (v7_ordinal1(D) &  (? [E] :  ( (v3_card_1(E, D) & m2_finseq_1(E, k2_qc_lang1(A)))  &  (? [F] :  (m2_subset_1(F, k6_qc_lang1(A), k8_qc_lang1(A, D)) &  (C=F & B=k10_qc_lang1(A, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d23_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v2_qc_lang1(B, A) =>  (! [C] :  (m2_finseq_1(C, k2_qc_lang1(A)) =>  (C=k17_qc_lang1(A, B) <=>  (? [D] :  (v7_ordinal1(D) &  (? [E] :  (m2_subset_1(E, k6_qc_lang1(A), k8_qc_lang1(A, D)) &  (? [F] :  ( (v3_card_1(F, D) & m2_finseq_1(F, k2_qc_lang1(A)))  &  (C=F & B=k10_qc_lang1(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d24_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v3_qc_lang1(B, A) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (C=k18_qc_lang1(A, B) <=> B=k13_qc_lang1(A, C)) ) ) ) ) ) ) ) ).
fof(d25_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v4_qc_lang1(B, A) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (C=k19_qc_lang1(A, B) <=>  (? [D] :  (m1_subset_1(D, k9_qc_lang1(A)) & B=k14_qc_lang1(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(d26_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v4_qc_lang1(B, A) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (C=k20_qc_lang1(A, B) <=>  (? [D] :  (m1_subset_1(D, k9_qc_lang1(A)) & B=k14_qc_lang1(A, D, C)) ) ) ) ) ) ) ) ) ) ).
fof(d27_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v5_qc_lang1(B, A) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (C=k21_qc_lang1(A, B) <=>  (? [D] :  (m1_subset_1(D, k9_qc_lang1(A)) & B=k15_qc_lang1(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(d28_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v5_qc_lang1(B, A) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (C=k22_qc_lang1(A, B) <=>  (? [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) & B=k15_qc_lang1(A, D, C)) ) ) ) ) ) ) ) ) ) ).
fof(t14_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  ~ ( (v3_qc_lang1(B, A) & r1_xxreal_0(k3_finseq_1(k11_qc_lang1(A, B)), k3_finseq_1(k11_qc_lang1(A, k18_qc_lang1(A, B))))) ) ) ) ) ) ).
fof(t15_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v4_qc_lang1(B, A) =>  ( ~ (r1_xxreal_0(k3_finseq_1(k11_qc_lang1(A, B)), k3_finseq_1(k11_qc_lang1(A, k19_qc_lang1(A, B)))))  &  ~ (r1_xxreal_0(k3_finseq_1(k11_qc_lang1(A, B)), k3_finseq_1(k11_qc_lang1(A, k20_qc_lang1(A, B))))) ) ) ) ) ) ) ).
fof(t16_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  ~ ( (v5_qc_lang1(B, A) & r1_xxreal_0(k3_finseq_1(k11_qc_lang1(A, B)), k3_finseq_1(k11_qc_lang1(A, k22_qc_lang1(A, B))))) ) ) ) ) ) ).
fof(t17_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_subset_1(C, k6_qc_lang1(A), k8_qc_lang1(A, B)) =>  ( ~ (k1_xtuple_0(C)=k5_numbers)  &  ( ~ (k1_xtuple_0(C)=1)  &  ( ~ (k1_xtuple_0(C)=2)  &  ~ (k1_xtuple_0(C)=3) ) ) ) ) ) ) ) ) ) ).
fof(t18_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (k1_xtuple_0(k1_funct_1(k11_qc_lang1(A, k12_qc_lang1(A)), 1))=k5_numbers &  ( ~ ( (v2_qc_lang1(B, A) &  (! [C] :  (v7_ordinal1(C) =>  ~ (m2_subset_1(k1_funct_1(k11_qc_lang1(A, B), 1), k6_qc_lang1(A), k8_qc_lang1(A, C))) ) ) ) )  &  ( (v3_qc_lang1(B, A) => k1_xtuple_0(k1_funct_1(k11_qc_lang1(A, B), 1))=1)  &  ( (v4_qc_lang1(B, A) => k1_xtuple_0(k1_funct_1(k11_qc_lang1(A, B), 1))=2)  &  (v5_qc_lang1(B, A) => k1_xtuple_0(k1_funct_1(k11_qc_lang1(A, B), 1))=3) ) ) ) ) ) ) ) ) ).
fof(t19_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v2_qc_lang1(B, A) =>  ( ~ (k1_xtuple_0(k1_funct_1(k11_qc_lang1(A, B), 1))=k5_numbers)  &  ( ~ (k1_xtuple_0(k1_funct_1(k11_qc_lang1(A, B), 1))=1)  &  ( ~ (k1_xtuple_0(k1_funct_1(k11_qc_lang1(A, B), 1))=2)  &  ~ (k1_xtuple_0(k1_funct_1(k11_qc_lang1(A, B), 1))=3) ) ) ) ) ) ) ) ) ).
fof(t20_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  ( ~ (v2_qc_lang1(k12_qc_lang1(A), A))  &  ( ~ (v3_qc_lang1(k12_qc_lang1(A), A))  &  ( ~ (v4_qc_lang1(k12_qc_lang1(A), A))  &  ( ~ (v5_qc_lang1(k12_qc_lang1(A), A))  &  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  ( ~ ( (v2_qc_lang1(B, A) & v3_qc_lang1(B, A)) )  &  ( ~ ( (v2_qc_lang1(B, A) & v4_qc_lang1(B, A)) )  &  ( ~ ( (v2_qc_lang1(B, A) & v5_qc_lang1(B, A)) )  &  ( ~ ( (v3_qc_lang1(B, A) & v4_qc_lang1(B, A)) )  &  ( ~ ( (v3_qc_lang1(B, A) & v5_qc_lang1(B, A)) )  &  ~ ( (v4_qc_lang1(B, A) & v5_qc_lang1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d31_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v6_qc_lang1(B, A) <=> k24_qc_lang1(A, B)=k1_xboole_0) ) ) ) ) ).
fof(d32_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v1_relat_1(B) =>  (m2_qc_lang1(B, A) <=> r2_wellord1(B, k6_subset_1(k1_qc_lang1(A), k4_ordinal1))) ) ) ) ) ).
fof(d34_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k1_qc_lang1(A)) =>  (r2_qc_lang1(A, B, C) <=>  (r1_qc_lang1(A, B, C) &  ~ (B=C) ) ) ) ) ) ) ) ) ).
fof(t21_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k1_qc_lang1(A)) =>  (! [D] :  (m1_subset_1(D, k1_qc_lang1(A)) =>  ( (r1_qc_lang1(A, B, C) & r1_qc_lang1(A, C, D))  => r1_qc_lang1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t22_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_qc_lang1(A)) => r1_qc_lang1(A, B, B)) ) ) ) ).
fof(t23_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k1_qc_lang1(A)) =>  ( (r1_qc_lang1(A, B, C) & r1_qc_lang1(A, C, B))  => C=B) ) ) ) ) ) ) ).
fof(t24_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k1_qc_lang1(A)) =>  (r1_qc_lang1(A, B, C) | r1_qc_lang1(A, C, B)) ) ) ) ) ) ) ).
fof(t25_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k1_qc_lang1(A)) =>  (r2_qc_lang1(A, B, C) <=>  ~ (r1_qc_lang1(A, C, B)) ) ) ) ) ) ) ) ).
fof(t26_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k1_qc_lang1(A)) =>  ~ ( ( ~ (r2_qc_lang1(A, B, C))  &  ( ~ (B=C)  &  ~ (r2_qc_lang1(A, C, B)) ) ) ) ) ) ) ) ) ) ).
fof(d35_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_qc_lang1(A))))  =>  (! [C] :  (m1_subset_1(C, k1_qc_lang1(A)) =>  (C=k25_qc_lang1(A, B) <=>  (r2_tarski(C, B) &  (! [D] :  (m1_subset_1(D, k1_qc_lang1(A)) =>  (r2_tarski(D, B) => r1_qc_lang1(A, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d36_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_qc_lang1(A)) =>  (B=k26_qc_lang1(A) <=>  (! [C] :  (m1_subset_1(C, k1_qc_lang1(A)) => r1_qc_lang1(A, B, C)) ) ) ) ) ) ) ).
fof(d38_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_qc_lang1(A)) => k28_qc_lang1(A, B)=k25_qc_lang1(A, k27_qc_lang1(A, B))) ) ) ) ).
fof(t27_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_qc_lang1(A)) => r2_qc_lang1(A, B, k28_qc_lang1(A, B))) ) ) ) ).
fof(t28_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_qc_lang1(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_qc_lang1(A))))  =>  (r1_tarski(B, C) => r1_qc_lang1(A, k25_qc_lang1(A, C), k25_qc_lang1(A, B))) ) ) ) ) ) ) ).
fof(t29_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k1_qc_lang1(A)) =>  (! [D] :  (m1_subset_1(D, k1_qc_lang1(A)) =>  ( (r1_qc_lang1(A, B, C) & r2_qc_lang1(A, C, D))  => r2_qc_lang1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t30_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k1_qc_lang1(A)) =>  (! [D] :  (m1_subset_1(D, k1_qc_lang1(A)) =>  ( (r2_qc_lang1(A, B, C) & r1_qc_lang1(A, C, D))  => r2_qc_lang1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d39_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (m1_subset_1(B, k1_qc_lang1(A)) => k29_qc_lang1(A, B)=B)  &  ( ~ (m1_subset_1(B, k1_qc_lang1(A)))  => k29_qc_lang1(A, B)=k5_numbers) ) ) ) ) ).
fof(d40_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_qc_lang1(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, k1_qc_lang1(A)) =>  (D=k30_qc_lang1(A, B, C) <=>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_qc_lang1(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_qc_lang1(A))))) )  &  (D=k8_nat_1(k1_qc_lang1(A), E, C) &  (k3_funct_2(k4_ordinal1, k1_qc_lang1(A), E, k5_numbers)=B &  (! [F] :  (v7_ordinal1(F) => k3_funct_2(k4_ordinal1, k1_qc_lang1(A), E, k1_nat_1(F, 1))=k28_qc_lang1(A, k8_nat_1(k1_qc_lang1(A), E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k1_qc_lang1(A)) => r1_qc_lang1(A, C, k30_qc_lang1(A, C, B))) ) ) ) ) ) ).
fof(s1_qc_lang1, axiom,  ( ( (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_subset_1(B, k6_qc_lang1(f1_s1_qc_lang1), k8_qc_lang1(f1_s1_qc_lang1, A)) =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k2_qc_lang1(f1_s1_qc_lang1)))  => p1_s1_qc_lang1(k10_qc_lang1(f1_s1_qc_lang1, B, C))) ) ) ) ) )  &  (p1_s1_qc_lang1(k12_qc_lang1(f1_s1_qc_lang1)) &  ( (! [A] :  (m1_subset_1(A, k9_qc_lang1(f1_s1_qc_lang1)) =>  (p1_s1_qc_lang1(A) => p1_s1_qc_lang1(k13_qc_lang1(f1_s1_qc_lang1, A))) ) )  &  ( (! [A] :  (m1_subset_1(A, k9_qc_lang1(f1_s1_qc_lang1)) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(f1_s1_qc_lang1)) =>  ( (p1_s1_qc_lang1(A) & p1_s1_qc_lang1(B))  => p1_s1_qc_lang1(k14_qc_lang1(f1_s1_qc_lang1, A, B))) ) ) ) )  &  (! [A] :  (m2_subset_1(A, k2_qc_lang1(f1_s1_qc_lang1), k3_qc_lang1(f1_s1_qc_lang1)) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(f1_s1_qc_lang1)) =>  (p1_s1_qc_lang1(B) => p1_s1_qc_lang1(k15_qc_lang1(f1_s1_qc_lang1, A, B))) ) ) ) ) ) ) ) )  =>  (! [A] :  (m1_subset_1(A, k9_qc_lang1(f1_s1_qc_lang1)) => p1_s1_qc_lang1(A)) ) ) ).
fof(s2_qc_lang1, axiom,  ( (! [A] :  (m1_subset_1(A, k9_qc_lang1(f1_s2_qc_lang1)) =>  ( (v2_qc_lang1(A, f1_s2_qc_lang1) => p1_s2_qc_lang1(A))  &  (p1_s2_qc_lang1(k12_qc_lang1(f1_s2_qc_lang1)) &  ( ( (v3_qc_lang1(A, f1_s2_qc_lang1) & p1_s2_qc_lang1(k18_qc_lang1(f1_s2_qc_lang1, A)))  => p1_s2_qc_lang1(A))  &  ( ( (v4_qc_lang1(A, f1_s2_qc_lang1) &  (p1_s2_qc_lang1(k19_qc_lang1(f1_s2_qc_lang1, A)) & p1_s2_qc_lang1(k20_qc_lang1(f1_s2_qc_lang1, A))) )  => p1_s2_qc_lang1(A))  &  ( (v5_qc_lang1(A, f1_s2_qc_lang1) & p1_s2_qc_lang1(k22_qc_lang1(f1_s2_qc_lang1, A)))  => p1_s2_qc_lang1(A)) ) ) ) ) ) )  =>  (! [A] :  (m1_subset_1(A, k9_qc_lang1(f1_s2_qc_lang1)) => p1_s2_qc_lang1(A)) ) ) ).
fof(s3_qc_lang1, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k9_qc_lang1(f1_s3_qc_lang1), f2_s3_qc_lang1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k9_qc_lang1(f1_s3_qc_lang1), f2_s3_qc_lang1)))) )  &  (k3_funct_2(k9_qc_lang1(f1_s3_qc_lang1), f2_s3_qc_lang1, A, k12_qc_lang1(f1_s3_qc_lang1))=f3_s3_qc_lang1 &  (! [B] :  (m1_subset_1(B, k9_qc_lang1(f1_s3_qc_lang1)) =>  ( (v2_qc_lang1(B, f1_s3_qc_lang1) => k3_funct_2(k9_qc_lang1(f1_s3_qc_lang1), f2_s3_qc_lang1, A, B)=f4_s3_qc_lang1(B))  &  ( (v3_qc_lang1(B, f1_s3_qc_lang1) => k3_funct_2(k9_qc_lang1(f1_s3_qc_lang1), f2_s3_qc_lang1, A, B)=f5_s3_qc_lang1(k3_funct_2(k9_qc_lang1(f1_s3_qc_lang1), f2_s3_qc_lang1, A, k18_qc_lang1(f1_s3_qc_lang1, B))))  &  ( (v4_qc_lang1(B, f1_s3_qc_lang1) => k3_funct_2(k9_qc_lang1(f1_s3_qc_lang1), f2_s3_qc_lang1, A, B)=f6_s3_qc_lang1(k3_funct_2(k9_qc_lang1(f1_s3_qc_lang1), f2_s3_qc_lang1, A, k19_qc_lang1(f1_s3_qc_lang1, B)), k3_funct_2(k9_qc_lang1(f1_s3_qc_lang1), f2_s3_qc_lang1, A, k20_qc_lang1(f1_s3_qc_lang1, B))))  &  (v5_qc_lang1(B, f1_s3_qc_lang1) => k3_funct_2(k9_qc_lang1(f1_s3_qc_lang1), f2_s3_qc_lang1, A, B)=f7_s3_qc_lang1(B, k3_funct_2(k9_qc_lang1(f1_s3_qc_lang1), f2_s3_qc_lang1, A, k22_qc_lang1(f1_s3_qc_lang1, B)))) ) ) ) ) ) ) ) ) ).
fof(existence_m1_qc_lang1, axiom,  (? [A] : m1_qc_lang1(A)) ).
fof(dt_k1_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  ~ (v1_xboole_0(k1_qc_lang1(A))) ) ) ).
fof(dt_k3_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) => m1_subset_1(k3_qc_lang1(A), k1_zfmisc_1(k2_qc_lang1(A)))) ) ).
fof(dt_k4_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) => m1_subset_1(k4_qc_lang1(A), k1_zfmisc_1(k2_qc_lang1(A)))) ) ).
fof(dt_k5_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) => m1_subset_1(k5_qc_lang1(A), k1_zfmisc_1(k2_qc_lang1(A)))) ) ).
fof(dt_k7_qc_lang1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k6_qc_lang1(A)))  => v7_ordinal1(k7_qc_lang1(A, B))) ) ).
fof(dt_k8_qc_lang1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & v7_ordinal1(B))  => m1_subset_1(k8_qc_lang1(A, B), k1_zfmisc_1(k6_qc_lang1(A)))) ) ).
fof(dt_k9_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  ~ (v1_xboole_0(k9_qc_lang1(A))) ) ) ).
fof(dt_k10_qc_lang1, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k6_qc_lang1(A)) & m1_finseq_1(C, k2_qc_lang1(A))) )  => m1_subset_1(k10_qc_lang1(A, B, C), k9_qc_lang1(A))) ) ).
fof(dt_k11_qc_lang1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k9_qc_lang1(A)))  => m2_finseq_1(k11_qc_lang1(A, B), k2_zfmisc_1(k4_ordinal1, k1_qc_lang1(A)))) ) ).
fof(dt_k12_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) => m1_subset_1(k12_qc_lang1(A), k9_qc_lang1(A))) ) ).
fof(dt_k13_qc_lang1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k9_qc_lang1(A)))  => m1_subset_1(k13_qc_lang1(A, B), k9_qc_lang1(A))) ) ).
fof(dt_k14_qc_lang1, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k9_qc_lang1(A)) & m1_subset_1(C, k9_qc_lang1(A))) )  => m1_subset_1(k14_qc_lang1(A, B, C), k9_qc_lang1(A))) ) ).
fof(dt_k15_qc_lang1, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_qc_lang1(A)) & m1_subset_1(C, k9_qc_lang1(A))) )  => m1_subset_1(k15_qc_lang1(A, B, C), k9_qc_lang1(A))) ) ).
fof(dt_f1_s1_qc_lang1, axiom, m1_qc_lang1(f1_s1_qc_lang1)).
fof(dt_k16_qc_lang1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k9_qc_lang1(A)))  => m1_subset_1(k16_qc_lang1(A, B), k6_qc_lang1(A))) ) ).
fof(dt_k17_qc_lang1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k9_qc_lang1(A)))  => m2_finseq_1(k17_qc_lang1(A, B), k2_qc_lang1(A))) ) ).
fof(dt_k18_qc_lang1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k9_qc_lang1(A)))  => m1_subset_1(k18_qc_lang1(A, B), k9_qc_lang1(A))) ) ).
fof(dt_k19_qc_lang1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k9_qc_lang1(A)))  => m1_subset_1(k19_qc_lang1(A, B), k9_qc_lang1(A))) ) ).
fof(dt_k20_qc_lang1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k9_qc_lang1(A)))  => m1_subset_1(k20_qc_lang1(A, B), k9_qc_lang1(A))) ) ).
fof(dt_k21_qc_lang1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k9_qc_lang1(A)))  => m2_subset_1(k21_qc_lang1(A, B), k2_qc_lang1(A), k3_qc_lang1(A))) ) ).
fof(dt_k22_qc_lang1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k9_qc_lang1(A)))  => m1_subset_1(k22_qc_lang1(A, B), k9_qc_lang1(A))) ) ).
fof(dt_f1_s2_qc_lang1, axiom, m1_qc_lang1(f1_s2_qc_lang1)).
fof(dt_f1_s3_qc_lang1, axiom, m1_qc_lang1(f1_s3_qc_lang1)).
fof(dt_f2_s3_qc_lang1, axiom,  ~ (v1_xboole_0(f2_s3_qc_lang1)) ).
fof(dt_f3_s3_qc_lang1, axiom, m1_subset_1(f3_s3_qc_lang1, f2_s3_qc_lang1)).
fof(dt_f4_s3_qc_lang1, axiom,  (! [A] : m1_subset_1(f4_s3_qc_lang1(A), f2_s3_qc_lang1)) ).
fof(dt_f5_s3_qc_lang1, axiom,  (! [A] : m1_subset_1(f5_s3_qc_lang1(A), f2_s3_qc_lang1)) ).
fof(dt_f6_s3_qc_lang1, axiom,  (! [A, B] : m1_subset_1(f6_s3_qc_lang1(A, B), f2_s3_qc_lang1)) ).
fof(dt_f7_s3_qc_lang1, axiom,  (! [A, B] : m1_subset_1(f7_s3_qc_lang1(A, B), f2_s3_qc_lang1)) ).
fof(dt_k23_qc_lang1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_finseq_1(B, k2_qc_lang1(A)))  => m1_subset_1(k23_qc_lang1(A, B), k1_zfmisc_1(k3_qc_lang1(A)))) ) ).
fof(dt_k24_qc_lang1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k9_qc_lang1(A)))  => m1_subset_1(k24_qc_lang1(A, B), k1_zfmisc_1(k3_qc_lang1(A)))) ) ).
fof(dt_m2_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_qc_lang1(B, A) => v1_relat_1(B)) ) ) ) ).
fof(existence_m2_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (? [B] : m2_qc_lang1(B, A)) ) ) ).
fof(dt_k25_qc_lang1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_qc_lang1(A)))) )  => m1_subset_1(k25_qc_lang1(A, B), k1_qc_lang1(A))) ) ).
fof(dt_k26_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) => m1_subset_1(k26_qc_lang1(A), k1_qc_lang1(A))) ) ).
fof(dt_k27_qc_lang1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k1_qc_lang1(A)))  =>  ( ~ (v1_xboole_0(k27_qc_lang1(A, B)))  & m1_subset_1(k27_qc_lang1(A, B), k1_zfmisc_1(k1_qc_lang1(A)))) ) ) ).
fof(dt_k28_qc_lang1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k1_qc_lang1(A)))  => m1_subset_1(k28_qc_lang1(A, B), k1_qc_lang1(A))) ) ).
fof(dt_k29_qc_lang1, axiom,  (! [A, B] :  (m1_qc_lang1(A) => m1_subset_1(k29_qc_lang1(A, B), k1_qc_lang1(A))) ) ).
fof(dt_k30_qc_lang1, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k1_qc_lang1(A)) & v7_ordinal1(C)) )  => m1_subset_1(k30_qc_lang1(A, B, C), k1_qc_lang1(A))) ) ).
fof(dt_k31_qc_lang1, axiom,  (! [A, B] :  (m1_qc_lang1(A) => m1_subset_1(k31_qc_lang1(A, B), k1_qc_lang1(A))) ) ).
fof(d7_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) => k6_qc_lang1(A)=a_1_0_qc_lang1(A)) ) ).
fof(d9_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) => k8_qc_lang1(A, B)=a_2_0_qc_lang1(A, B)) ) ) ) ).
fof(d29_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k2_qc_lang1(A)) => k23_qc_lang1(A, B)=a_2_1_qc_lang1(A, B)) ) ) ) ).
fof(d30_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_qc_lang1(A))) =>  (C=k24_qc_lang1(A, B) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k9_qc_lang1(A), k1_zfmisc_1(k3_qc_lang1(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k9_qc_lang1(A), k1_zfmisc_1(k3_qc_lang1(A)))))) )  &  (C=k3_funct_2(k9_qc_lang1(A), k1_zfmisc_1(k3_qc_lang1(A)), D, B) &  (! [E] :  (m1_subset_1(E, k9_qc_lang1(A)) =>  (k3_funct_2(k9_qc_lang1(A), k1_zfmisc_1(k3_qc_lang1(A)), D, k12_qc_lang1(A))=k1_xboole_0 &  ( (v2_qc_lang1(E, A) => k3_funct_2(k9_qc_lang1(A), k1_zfmisc_1(k3_qc_lang1(A)), D, E)=a_2_2_qc_lang1(A, E))  &  ( (v3_qc_lang1(E, A) => k3_funct_2(k9_qc_lang1(A), k1_zfmisc_1(k3_qc_lang1(A)), D, E)=k3_funct_2(k9_qc_lang1(A), k1_zfmisc_1(k3_qc_lang1(A)), D, k18_qc_lang1(A, E)))  &  ( (v4_qc_lang1(E, A) => k3_funct_2(k9_qc_lang1(A), k1_zfmisc_1(k3_qc_lang1(A)), D, E)=k4_subset_1(k3_qc_lang1(A), k3_funct_2(k9_qc_lang1(A), k1_zfmisc_1(k3_qc_lang1(A)), D, k19_qc_lang1(A, E)), k3_funct_2(k9_qc_lang1(A), k1_zfmisc_1(k3_qc_lang1(A)), D, k20_qc_lang1(A, E))))  &  (v5_qc_lang1(E, A) => k3_funct_2(k9_qc_lang1(A), k1_zfmisc_1(k3_qc_lang1(A)), D, E)=k7_subset_1(k3_qc_lang1(A), k3_funct_2(k9_qc_lang1(A), k1_zfmisc_1(k3_qc_lang1(A)), D, k22_qc_lang1(A, E)), k1_tarski(k21_qc_lang1(A, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d33_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k1_qc_lang1(A)) =>  ( ( (r2_tarski(B, k4_ordinal1) & r2_tarski(C, k4_ordinal1))  =>  (r1_qc_lang1(A, B, C) <=>  (? [D] :  (v7_ordinal1(D) &  (? [E] :  (v7_ordinal1(E) &  (D=B &  (E=C & r1_xxreal_0(D, E)) ) ) ) ) ) ) )  &  ( ~ ( ( ~ (r2_tarski(B, k4_ordinal1))  &  ( ~ (r2_tarski(C, k4_ordinal1))  &  ~ ( (r1_qc_lang1(A, B, C) <=> r2_hidden(k4_tarski(B, C), o_1_1_qc_lang1(A))) ) ) ) )  &  ~ ( ( ~ ( (r2_tarski(B, k4_ordinal1) & r2_tarski(C, k4_ordinal1)) )  &  ( ~ ( ( ~ (r2_tarski(B, k4_ordinal1))  &  ~ (r2_tarski(C, k4_ordinal1)) ) )  &  ~ ( (r1_qc_lang1(A, B, C) <=> r2_tarski(C, k4_ordinal1)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d37_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_qc_lang1(A)) => k27_qc_lang1(A, B)=a_2_3_qc_lang1(A, B)) ) ) ) ).
fof(d41_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_qc_lang1(A))))  => k31_qc_lang1(A, B)=o_1_2_qc_lang1(B))  &  ( ~ ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_qc_lang1(A)))) )  => k31_qc_lang1(A, B)=k26_qc_lang1(A)) ) ) ) ) ).
fof(fraenkel_a_1_0_qc_lang1, axiom,  (! [A, B] :  (m1_qc_lang1(B) =>  (r2_hidden(A, a_1_0_qc_lang1(B)) <=>  (? [C, D] :  ( (v7_ordinal1(C) & m1_subset_1(D, k1_qc_lang1(B)))  &  (A=k4_tarski(C, D) & r1_xxreal_0(7, C)) ) ) ) ) ) ).
fof(fraenkel_a_2_0_qc_lang1, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(B) & v7_ordinal1(C))  =>  (r2_hidden(A, a_2_0_qc_lang1(B, C)) <=>  (? [D] :  (m1_subset_1(D, k6_qc_lang1(B)) &  (A=D & k7_qc_lang1(B, D)=C) ) ) ) ) ) ).
fof(fraenkel_a_2_1_qc_lang1, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(B) & m2_finseq_1(C, k2_qc_lang1(B)))  =>  (r2_hidden(A, a_2_1_qc_lang1(B, C)) <=>  (? [D] :  (v7_ordinal1(D) &  (A=k1_funct_1(C, D) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k3_finseq_1(C)) & r2_tarski(k1_funct_1(C, D), k3_qc_lang1(B))) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_2_qc_lang1, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(B) & m1_subset_1(C, k9_qc_lang1(B)))  =>  (r2_hidden(A, a_2_2_qc_lang1(B, C)) <=>  (? [D] :  (v7_ordinal1(D) &  (A=k1_funct_1(k17_qc_lang1(B, C), D) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k3_finseq_1(k17_qc_lang1(B, C))) & r2_tarski(k1_funct_1(k17_qc_lang1(B, C), D), k3_qc_lang1(B))) ) ) ) ) ) ) ) ).
fof(dt_o_1_1_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) => m2_qc_lang1(o_1_1_qc_lang1(A), A)) ) ).
fof(fraenkel_a_2_3_qc_lang1, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(B) & m1_subset_1(C, k1_qc_lang1(B)))  =>  (r2_hidden(A, a_2_3_qc_lang1(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_qc_lang1(B)) &  (A=D & r2_qc_lang1(B, C, D)) ) ) ) ) ) ).
fof(dt_o_1_2_qc_lang1, axiom,  (! [A] : m1_subset_1(o_1_2_qc_lang1(A), A)) ).
fof(t1_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) => k18_qc_lang1(A, k13_qc_lang1(A, B))=B) ) ) ) ).
fof(t2_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m1_subset_1(D, k9_qc_lang1(A)) =>  (! [E] :  (m1_subset_1(E, k9_qc_lang1(A)) =>  (k14_qc_lang1(A, B, C)=k14_qc_lang1(A, D, E) =>  (B=D & C=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v4_qc_lang1(B, A) => B=k14_qc_lang1(A, k19_qc_lang1(A, B), k20_qc_lang1(A, B))) ) ) ) ) ).
fof(t4_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (k19_qc_lang1(A, k14_qc_lang1(A, B, C))=B & k20_qc_lang1(A, k14_qc_lang1(A, B, C))=C) ) ) ) ) ) ) ).
fof(t5_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m1_subset_1(D, k9_qc_lang1(A)) =>  (! [E] :  (m1_subset_1(E, k9_qc_lang1(A)) =>  (k15_qc_lang1(A, B, D)=k15_qc_lang1(A, C, E) =>  (B=C & D=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v5_qc_lang1(B, A) => B=k15_qc_lang1(A, k21_qc_lang1(A, B), k22_qc_lang1(A, B))) ) ) ) ) ).
fof(t7_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (k21_qc_lang1(A, k15_qc_lang1(A, B, C))=B & k22_qc_lang1(A, k15_qc_lang1(A, B, C))=C) ) ) ) ) ) ) ).
fof(d1_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) => k1_qc_lang2(A)=k13_qc_lang1(A, k12_qc_lang1(A))) ) ).
fof(d2_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) => k2_qc_lang2(A, B, C)=k13_qc_lang1(A, k14_qc_lang1(A, B, k13_qc_lang1(A, C)))) ) ) ) ) ) ).
fof(d3_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) => k3_qc_lang2(A, B, C)=k13_qc_lang1(A, k14_qc_lang1(A, k13_qc_lang1(A, B), k13_qc_lang1(A, C)))) ) ) ) ) ) ).
fof(d4_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) => k4_qc_lang2(A, B, C)=k14_qc_lang1(A, k2_qc_lang2(A, B, C), k2_qc_lang2(A, C, B))) ) ) ) ) ) ).
fof(d5_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) => k5_qc_lang2(A, B, C)=k13_qc_lang1(A, k15_qc_lang1(A, B, k13_qc_lang1(A, C)))) ) ) ) ) ) ).
fof(t8_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (v3_qc_lang1(k1_qc_lang2(A), A) & k18_qc_lang1(A, k1_qc_lang2(A))=k12_qc_lang1(A)) ) ) ).
fof(t9_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) => k3_qc_lang2(A, B, C)=k2_qc_lang2(A, k13_qc_lang1(A, B), C)) ) ) ) ) ) ).
fof(t10_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m1_subset_1(D, k9_qc_lang1(A)) =>  (! [E] :  (m1_subset_1(E, k9_qc_lang1(A)) =>  (k3_qc_lang2(A, B, C)=k3_qc_lang2(A, D, E) =>  (B=D & C=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m1_subset_1(D, k9_qc_lang1(A)) =>  (! [E] :  (m1_subset_1(E, k9_qc_lang1(A)) =>  (k2_qc_lang2(A, B, C)=k2_qc_lang2(A, D, E) =>  (B=D & C=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m1_subset_1(D, k9_qc_lang1(A)) =>  (! [E] :  (m1_subset_1(E, k9_qc_lang1(A)) =>  (k4_qc_lang2(A, B, C)=k4_qc_lang2(A, D, E) =>  (B=D & C=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m1_subset_1(D, k9_qc_lang1(A)) =>  (! [E] :  (m1_subset_1(E, k9_qc_lang1(A)) =>  (k5_qc_lang2(A, B, D)=k5_qc_lang2(A, C, E) =>  (B=C & D=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m1_subset_1(D, k9_qc_lang1(A)) => k6_qc_lang2(A, B, C, D)=k15_qc_lang1(A, B, k15_qc_lang1(A, C, D))) ) ) ) ) ) ) ) ).
fof(d7_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m1_subset_1(D, k9_qc_lang1(A)) => k7_qc_lang2(A, B, C, D)=k5_qc_lang2(A, B, k5_qc_lang2(A, C, D))) ) ) ) ) ) ) ) ).
fof(t14_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m1_subset_1(D, k9_qc_lang1(A)) =>  (k6_qc_lang2(A, B, C, D)=k15_qc_lang1(A, B, k15_qc_lang1(A, C, D)) & k7_qc_lang2(A, B, C, D)=k5_qc_lang2(A, B, k5_qc_lang2(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t15_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [E] :  (m2_subset_1(E, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [F] :  (m2_subset_1(F, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [G] :  (m2_subset_1(G, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (k6_qc_lang2(A, D, F, B)=k6_qc_lang2(A, E, G, C) =>  (D=E &  (F=G & B=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [E] :  (m1_subset_1(E, k9_qc_lang1(A)) =>  (! [F] :  (m1_subset_1(F, k9_qc_lang1(A)) =>  (k6_qc_lang2(A, B, C, E)=k15_qc_lang1(A, D, F) =>  (B=D & k15_qc_lang1(A, C, E)=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [E] :  (m2_subset_1(E, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [F] :  (m2_subset_1(F, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [G] :  (m2_subset_1(G, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (k7_qc_lang2(A, D, F, B)=k7_qc_lang2(A, E, G, C) =>  (D=E &  (F=G & B=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [E] :  (m1_subset_1(E, k9_qc_lang1(A)) =>  (! [F] :  (m1_subset_1(F, k9_qc_lang1(A)) =>  (k7_qc_lang2(A, B, C, E)=k5_qc_lang2(A, D, F) =>  (B=D & k5_qc_lang2(A, C, E)=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m1_subset_1(D, k9_qc_lang1(A)) =>  (v5_qc_lang1(k6_qc_lang2(A, B, C, D), A) &  (k21_qc_lang1(A, k6_qc_lang2(A, B, C, D))=B & k22_qc_lang1(A, k6_qc_lang2(A, B, C, D))=k15_qc_lang1(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(d8_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [E] :  (m1_subset_1(E, k9_qc_lang1(A)) => k8_qc_lang2(A, B, C, D, E)=k15_qc_lang1(A, B, k6_qc_lang2(A, C, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(d9_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [E] :  (m1_subset_1(E, k9_qc_lang1(A)) => k9_qc_lang2(A, B, C, D, E)=k5_qc_lang2(A, B, k7_qc_lang2(A, C, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t20_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [E] :  (m1_subset_1(E, k9_qc_lang1(A)) =>  (k8_qc_lang2(A, B, C, D, E)=k15_qc_lang1(A, B, k6_qc_lang2(A, C, D, E)) & k9_qc_lang2(A, B, C, D, E)=k5_qc_lang2(A, B, k7_qc_lang2(A, C, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [E] :  (m2_subset_1(E, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [F] :  (m2_subset_1(F, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [G] :  (m2_subset_1(G, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [H] :  (m2_subset_1(H, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [I] :  (m2_subset_1(I, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (k8_qc_lang2(A, D, F, H, B)=k8_qc_lang2(A, E, G, I, C) =>  (D=E &  (F=G &  (H=I & B=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [E] :  (m1_subset_1(E, k9_qc_lang1(A)) =>  (! [F] :  (m1_subset_1(F, k9_qc_lang1(A)) =>  (! [G] :  (m2_subset_1(G, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (k8_qc_lang2(A, B, C, D, E)=k15_qc_lang1(A, G, F) =>  (B=G & k6_qc_lang2(A, C, D, E)=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [E] :  (m1_subset_1(E, k9_qc_lang1(A)) =>  (! [F] :  (m1_subset_1(F, k9_qc_lang1(A)) =>  (! [G] :  (m2_subset_1(G, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [H] :  (m2_subset_1(H, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (k8_qc_lang2(A, B, C, D, E)=k6_qc_lang2(A, H, G, F) =>  (B=H &  (C=G & k15_qc_lang1(A, D, E)=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [E] :  (m2_subset_1(E, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [F] :  (m2_subset_1(F, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [G] :  (m2_subset_1(G, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [H] :  (m2_subset_1(H, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [I] :  (m2_subset_1(I, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (k9_qc_lang2(A, D, F, H, B)=k9_qc_lang2(A, E, G, I, C) =>  (D=E &  (F=G &  (H=I & B=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [E] :  (m1_subset_1(E, k9_qc_lang1(A)) =>  (! [F] :  (m1_subset_1(F, k9_qc_lang1(A)) =>  (! [G] :  (m2_subset_1(G, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (k9_qc_lang2(A, B, C, D, E)=k5_qc_lang2(A, G, F) =>  (B=G & k7_qc_lang2(A, C, D, E)=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [E] :  (m1_subset_1(E, k9_qc_lang1(A)) =>  (! [F] :  (m1_subset_1(F, k9_qc_lang1(A)) =>  (! [G] :  (m2_subset_1(G, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [H] :  (m2_subset_1(H, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (k9_qc_lang2(A, B, C, D, E)=k7_qc_lang2(A, H, G, F) =>  (B=H &  (C=G & k5_qc_lang2(A, D, E)=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [E] :  (m1_subset_1(E, k9_qc_lang1(A)) =>  (v5_qc_lang1(k8_qc_lang2(A, B, C, D, E), A) &  (k21_qc_lang1(A, k8_qc_lang2(A, B, C, D, E))=B & k22_qc_lang1(A, k8_qc_lang2(A, B, C, D, E))=k6_qc_lang2(A, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v1_qc_lang2(B, A) <=>  (? [C] :  (m1_subset_1(C, k9_qc_lang1(A)) &  (? [D] :  (m1_subset_1(D, k9_qc_lang1(A)) & B=k3_qc_lang2(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(d11_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v2_qc_lang2(B, A) <=>  (? [C] :  (m1_subset_1(C, k9_qc_lang1(A)) &  (? [D] :  (m1_subset_1(D, k9_qc_lang1(A)) & B=k2_qc_lang2(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(d12_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v3_qc_lang2(B, A) <=>  (? [C] :  (m1_subset_1(C, k9_qc_lang1(A)) &  (? [D] :  (m1_subset_1(D, k9_qc_lang1(A)) & B=k4_qc_lang2(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(d13_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v4_qc_lang2(B, A) <=>  (? [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) &  (? [D] :  (m1_subset_1(D, k9_qc_lang1(A)) & B=k5_qc_lang2(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t28_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [E] :  (m1_subset_1(E, k9_qc_lang1(A)) =>  (v4_qc_lang2(k7_qc_lang2(A, B, C, E), A) & v4_qc_lang2(k9_qc_lang2(A, B, C, D, E), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) => k10_qc_lang2(A, B)=k18_qc_lang1(A, k19_qc_lang1(A, k18_qc_lang1(A, B)))) ) ) ) ).
fof(d15_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) => k11_qc_lang2(A, B)=k18_qc_lang1(A, k20_qc_lang1(A, k18_qc_lang1(A, B)))) ) ) ) ).
fof(d16_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) => k12_qc_lang2(A, B)=k19_qc_lang1(A, k18_qc_lang1(A, B))) ) ) ) ).
fof(d17_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) => k13_qc_lang2(A, B)=k12_qc_lang2(A, k19_qc_lang1(A, B))) ) ) ) ).
fof(d18_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) => k14_qc_lang2(A, B)=k11_qc_lang2(A, k19_qc_lang1(A, B))) ) ) ) ).
fof(t29_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (k10_qc_lang2(A, k3_qc_lang2(A, B, C))=B &  (k11_qc_lang2(A, k3_qc_lang2(A, B, C))=C & k18_qc_lang1(A, k3_qc_lang2(A, B, C))=k14_qc_lang1(A, k13_qc_lang1(A, B), k13_qc_lang1(A, C))) ) ) ) ) ) ) ) ).
fof(t30_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (k12_qc_lang2(A, k2_qc_lang2(A, B, C))=B &  (k11_qc_lang2(A, k2_qc_lang2(A, B, C))=C & k18_qc_lang1(A, k2_qc_lang2(A, B, C))=k14_qc_lang1(A, B, k13_qc_lang1(A, C))) ) ) ) ) ) ) ) ).
fof(t31_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (k13_qc_lang2(A, k4_qc_lang2(A, B, C))=B &  (k14_qc_lang2(A, k4_qc_lang2(A, B, C))=C &  (k19_qc_lang1(A, k4_qc_lang2(A, B, C))=k2_qc_lang2(A, B, C) & k20_qc_lang1(A, k4_qc_lang2(A, B, C))=k2_qc_lang2(A, C, B)) ) ) ) ) ) ) ) ) ).
fof(t32_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) => k18_qc_lang1(A, k5_qc_lang2(A, B, C))=k15_qc_lang1(A, B, k13_qc_lang1(A, C))) ) ) ) ) ) ).
fof(t33_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v1_qc_lang2(B, A) =>  (v2_qc_lang2(B, A) &  (v3_qc_lang1(B, A) &  (v4_qc_lang1(k18_qc_lang1(A, B), A) &  (v3_qc_lang1(k19_qc_lang1(A, k18_qc_lang1(A, B)), A) & v3_qc_lang1(k20_qc_lang1(A, k18_qc_lang1(A, B)), A)) ) ) ) ) ) ) ) ) ).
fof(t34_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v2_qc_lang2(B, A) =>  (v3_qc_lang1(B, A) &  (v4_qc_lang1(k18_qc_lang1(A, B), A) & v3_qc_lang1(k20_qc_lang1(A, k18_qc_lang1(A, B)), A)) ) ) ) ) ) ) ).
fof(t35_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v3_qc_lang2(B, A) =>  (v4_qc_lang1(B, A) &  (v2_qc_lang2(k19_qc_lang1(A, B), A) & v2_qc_lang2(k20_qc_lang1(A, B), A)) ) ) ) ) ) ) ).
fof(t36_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v4_qc_lang2(B, A) =>  (v3_qc_lang1(B, A) &  (v5_qc_lang1(k18_qc_lang1(A, B), A) & v3_qc_lang1(k22_qc_lang1(A, k18_qc_lang1(A, B)), A)) ) ) ) ) ) ) ).
fof(t37_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v1_qc_lang2(B, A) => B=k3_qc_lang2(A, k10_qc_lang2(A, B), k11_qc_lang2(A, B))) ) ) ) ) ).
fof(t38_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v2_qc_lang2(B, A) => B=k2_qc_lang2(A, k12_qc_lang2(A, B), k11_qc_lang2(A, B))) ) ) ) ) ).
fof(t39_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v3_qc_lang2(B, A) => B=k4_qc_lang2(A, k13_qc_lang2(A, B), k14_qc_lang2(A, B))) ) ) ) ) ).
fof(t40_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v4_qc_lang2(B, A) => B=k5_qc_lang2(A, k21_qc_lang1(A, k18_qc_lang1(A, B)), k18_qc_lang1(A, k22_qc_lang1(A, k18_qc_lang1(A, B))))) ) ) ) ) ).
fof(d19_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (r1_qc_lang2(A, B, C) <=>  ~ ( ( ~ (C=k13_qc_lang1(A, B))  &  ( (! [D] :  (m1_subset_1(D, k9_qc_lang1(A)) =>  ( ~ (C=k14_qc_lang1(A, B, D))  &  ~ (C=k14_qc_lang1(A, D, B)) ) ) )  &  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ~ (C=k15_qc_lang1(A, D, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  ~ (r1_qc_lang2(A, B, k12_qc_lang1(A))) ) ) ) ) ).
fof(t42_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_subset_1(D, k6_qc_lang1(A), k8_qc_lang1(A, C)) =>  (! [E] :  ( (v3_card_1(E, C) & m2_finseq_1(E, k2_qc_lang1(A)))  =>  ~ (r1_qc_lang2(A, B, k10_qc_lang1(A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (r1_qc_lang2(A, B, k13_qc_lang1(A, C)) <=> B=C) ) ) ) ) ) ) ).
fof(t44_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (r1_qc_lang2(A, B, k1_qc_lang2(A)) <=> B=k12_qc_lang1(A)) ) ) ) ) ).
fof(t45_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m1_subset_1(D, k9_qc_lang1(A)) =>  (r1_qc_lang2(A, B, k14_qc_lang1(A, C, D)) <=>  (B=C | B=D) ) ) ) ) ) ) ) ) ) ).
fof(t46_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (r1_qc_lang2(A, B, k15_qc_lang1(A, D, C)) <=> B=C) ) ) ) ) ) ) ) ) ).
fof(t47_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  ~ ( (v2_qc_lang1(C, A) & r1_qc_lang2(A, B, C)) ) ) ) ) ) ) ) ).
fof(t48_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (v3_qc_lang1(C, A) =>  (r1_qc_lang2(A, B, C) <=> B=k18_qc_lang1(A, C)) ) ) ) ) ) ) ) ).
fof(t49_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (v4_qc_lang1(C, A) =>  (r1_qc_lang2(A, B, C) <=>  (B=k19_qc_lang1(A, C) | B=k20_qc_lang1(A, C)) ) ) ) ) ) ) ) ) ).
fof(t50_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (v5_qc_lang1(C, A) =>  (r1_qc_lang2(A, B, C) <=> B=k22_qc_lang1(A, C)) ) ) ) ) ) ) ) ).
fof(d20_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (r2_qc_lang2(A, B, C) <=>  (? [D] :  (v7_ordinal1(D) &  (? [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  &  (r1_xxreal_0(1, D) &  (k3_finseq_1(E)=D &  (k1_funct_1(E, 1)=B &  (k1_funct_1(E, D)=C &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r1_xxreal_0(1, F) &  ( ~ (r1_xxreal_0(D, F))  &  (! [G] :  (m1_subset_1(G, k9_qc_lang1(A)) =>  (! [H] :  (m1_subset_1(H, k9_qc_lang1(A)) =>  ~ ( (k1_funct_1(E, F)=G &  (k1_funct_1(E, k1_nat_1(F, 1))=H & r1_qc_lang2(A, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d21_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (r3_qc_lang2(A, B, C) <=>  (r2_qc_lang2(A, B, C) &  ~ (B=C) ) ) ) ) ) ) ) ) ).
fof(t51_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  ~ ( (r1_qc_lang2(A, C, B) & r1_xxreal_0(k3_finseq_1(k11_qc_lang1(A, B)), k3_finseq_1(k11_qc_lang1(A, C)))) ) ) ) ) ) ) ) ).
fof(t52_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (r1_qc_lang2(A, C, B) => r2_qc_lang2(A, C, B)) ) ) ) ) ) ) ).
fof(t53_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (r1_qc_lang2(A, C, B) => r3_qc_lang2(A, C, B)) ) ) ) ) ) ) ).
fof(t54_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  ~ ( (r3_qc_lang2(A, C, B) & r1_xxreal_0(k3_finseq_1(k11_qc_lang1(A, B)), k3_finseq_1(k11_qc_lang1(A, C)))) ) ) ) ) ) ) ) ).
fof(t55_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  ~ ( (r3_qc_lang2(A, C, B) &  (! [D] :  (m1_subset_1(D, k9_qc_lang1(A)) =>  ~ (r1_qc_lang2(A, D, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m1_subset_1(D, k9_qc_lang1(A)) =>  ( (r3_qc_lang2(A, B, C) & r3_qc_lang2(A, C, D))  => r3_qc_lang2(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t57_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m1_subset_1(D, k9_qc_lang1(A)) =>  ( (r2_qc_lang2(A, B, C) & r2_qc_lang2(A, C, D))  => r2_qc_lang2(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t58_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  ( (r2_qc_lang2(A, B, C) & r2_qc_lang2(A, C, B))  => B=C) ) ) ) ) ) ) ).
fof(t59_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  ~ ( (r3_qc_lang2(A, B, C) & r2_qc_lang2(A, C, B)) ) ) ) ) ) ) ) ).
fof(t60_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  ~ ( (r3_qc_lang2(A, B, C) & r3_qc_lang2(A, C, B)) ) ) ) ) ) ) ) ).
fof(t61_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  ~ ( (r2_qc_lang2(A, B, C) & r1_qc_lang2(A, C, B)) ) ) ) ) ) ) ) ).
fof(t62_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  ~ ( (r3_qc_lang2(A, B, C) & r1_qc_lang2(A, C, B)) ) ) ) ) ) ) ) ).
fof(t63_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m1_subset_1(D, k9_qc_lang1(A)) =>  ( ~ ( ( ~ ( (r3_qc_lang2(A, B, C) & r2_qc_lang2(A, C, D)) )  &  ( ~ ( (r2_qc_lang2(A, B, C) & r3_qc_lang2(A, C, D)) )  &  ( ~ ( (r2_qc_lang2(A, B, C) & r1_qc_lang2(A, C, D)) )  &  ( ~ ( (r1_qc_lang2(A, B, C) & r2_qc_lang2(A, C, D)) )  &  ( ~ ( (r3_qc_lang2(A, B, C) & r1_qc_lang2(A, C, D)) )  &  ~ ( (r1_qc_lang2(A, B, C) & r3_qc_lang2(A, C, D)) ) ) ) ) ) ) )  => r3_qc_lang2(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t64_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  ~ (r3_qc_lang2(A, B, k12_qc_lang1(A))) ) ) ) ) ).
fof(t65_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_subset_1(D, k6_qc_lang1(A), k8_qc_lang1(A, C)) =>  (! [E] :  ( (v3_card_1(E, C) & m2_finseq_1(E, k2_qc_lang1(A)))  =>  ~ (r3_qc_lang2(A, B, k10_qc_lang1(A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (r2_qc_lang2(A, B, C) <=> r3_qc_lang2(A, B, k13_qc_lang1(A, C))) ) ) ) ) ) ) ).
fof(t67_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (r2_qc_lang2(A, k13_qc_lang1(A, B), C) => r3_qc_lang2(A, B, C)) ) ) ) ) ) ) ).
fof(t68_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (r3_qc_lang2(A, B, k1_qc_lang2(A)) <=> r2_qc_lang2(A, B, k12_qc_lang1(A))) ) ) ) ) ).
fof(t69_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m1_subset_1(D, k9_qc_lang1(A)) =>  ( (r2_qc_lang2(A, B, C) | r2_qc_lang2(A, B, D))  <=> r3_qc_lang2(A, B, k14_qc_lang1(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t70_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m1_subset_1(D, k9_qc_lang1(A)) =>  (r2_qc_lang2(A, k14_qc_lang1(A, B, C), D) =>  (r3_qc_lang2(A, B, D) & r3_qc_lang2(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t71_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (r2_qc_lang2(A, B, C) <=> r3_qc_lang2(A, B, k15_qc_lang1(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t72_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (r2_qc_lang2(A, k15_qc_lang1(A, D, C), B) => r3_qc_lang2(A, C, B)) ) ) ) ) ) ) ) ) ).
fof(t73_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (r3_qc_lang2(A, k14_qc_lang1(A, B, k13_qc_lang1(A, C)), k2_qc_lang2(A, B, C)) &  (r3_qc_lang2(A, B, k2_qc_lang2(A, B, C)) &  (r3_qc_lang2(A, k13_qc_lang1(A, C), k2_qc_lang2(A, B, C)) & r3_qc_lang2(A, C, k2_qc_lang2(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t74_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (r3_qc_lang2(A, k14_qc_lang1(A, k13_qc_lang1(A, B), k13_qc_lang1(A, C)), k3_qc_lang2(A, B, C)) &  (r3_qc_lang2(A, k13_qc_lang1(A, B), k3_qc_lang2(A, B, C)) &  (r3_qc_lang2(A, k13_qc_lang1(A, C), k3_qc_lang2(A, B, C)) &  (r3_qc_lang2(A, B, k3_qc_lang2(A, B, C)) & r3_qc_lang2(A, C, k3_qc_lang2(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t75_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  ~ ( (v2_qc_lang1(C, A) & r3_qc_lang2(A, B, C)) ) ) ) ) ) ) ) ).
fof(t76_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v3_qc_lang1(B, A) => r3_qc_lang2(A, k18_qc_lang1(A, B), B)) ) ) ) ) ).
fof(t77_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v4_qc_lang1(B, A) =>  (r3_qc_lang2(A, k19_qc_lang1(A, B), B) & r3_qc_lang2(A, k20_qc_lang1(A, B), B)) ) ) ) ) ) ).
fof(t78_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v5_qc_lang1(B, A) => r3_qc_lang2(A, k22_qc_lang1(A, B), B)) ) ) ) ) ).
fof(t79_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (r2_qc_lang2(A, B, k12_qc_lang1(A)) <=> B=k12_qc_lang1(A)) ) ) ) ) ).
fof(t80_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_subset_1(D, k6_qc_lang1(A), k8_qc_lang1(A, C)) =>  (! [E] :  ( (v3_card_1(E, C) & m2_finseq_1(E, k2_qc_lang1(A)))  =>  (r2_qc_lang2(A, B, k10_qc_lang1(A, D, E)) <=> B=k10_qc_lang1(A, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t81_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (r2_qc_lang2(A, B, k1_qc_lang2(A)) <=>  (B=k1_qc_lang2(A) | B=k12_qc_lang1(A)) ) ) ) ) ) ).
fof(d22_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (C=k15_qc_lang2(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (? [E] :  (m1_subset_1(E, k9_qc_lang1(A)) &  (E=D & r2_qc_lang2(A, E, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t82_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (r2_tarski(B, k15_qc_lang2(A, C)) => r2_qc_lang2(A, B, C)) ) ) ) ) ) ) ).
fof(t83_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (r2_qc_lang2(A, B, C) => r1_tarski(k15_qc_lang2(A, B), k15_qc_lang2(A, C))) ) ) ) ) ) ) ).
fof(t84_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (r2_tarski(B, k15_qc_lang2(A, C)) => r1_tarski(k15_qc_lang2(A, B), k15_qc_lang2(A, C))) ) ) ) ) ) ) ).
fof(t85_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) => k15_qc_lang2(A, k12_qc_lang1(A))=k1_tarski(k12_qc_lang1(A))) ) ).
fof(t86_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_subset_1(C, k6_qc_lang1(A), k8_qc_lang1(A, B)) =>  (! [D] :  ( (v3_card_1(D, B) & m2_finseq_1(D, k2_qc_lang1(A)))  => k15_qc_lang2(A, k10_qc_lang1(A, C, D))=k1_tarski(k10_qc_lang1(A, C, D))) ) ) ) ) ) ) ) ).
fof(t87_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) => k15_qc_lang2(A, k1_qc_lang2(A))=k2_tarski(k12_qc_lang1(A), k1_qc_lang2(A))) ) ).
fof(t88_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) => k15_qc_lang2(A, k13_qc_lang1(A, B))=k2_xboole_0(k15_qc_lang2(A, B), k1_tarski(k13_qc_lang1(A, B)))) ) ) ) ).
fof(t89_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) => k15_qc_lang2(A, k14_qc_lang1(A, C, B))=k2_xboole_0(k2_xboole_0(k15_qc_lang2(A, C), k15_qc_lang2(A, B)), k1_tarski(k14_qc_lang1(A, C, B)))) ) ) ) ) ) ).
fof(t90_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) => k15_qc_lang2(A, k15_qc_lang1(A, C, B))=k2_xboole_0(k15_qc_lang2(A, B), k1_tarski(k15_qc_lang1(A, C, B)))) ) ) ) ) ) ).
fof(t91_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) => k15_qc_lang2(A, k2_qc_lang2(A, B, C))=k2_xboole_0(k2_xboole_0(k15_qc_lang2(A, B), k15_qc_lang2(A, C)), k1_enumset1(k13_qc_lang1(A, C), k14_qc_lang1(A, B, k13_qc_lang1(A, C)), k2_qc_lang2(A, B, C)))) ) ) ) ) ) ).
fof(t92_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) => k15_qc_lang2(A, k3_qc_lang2(A, B, C))=k2_xboole_0(k2_xboole_0(k15_qc_lang2(A, B), k15_qc_lang2(A, C)), k2_enumset1(k13_qc_lang1(A, C), k13_qc_lang1(A, B), k14_qc_lang1(A, k13_qc_lang1(A, B), k13_qc_lang1(A, C)), k3_qc_lang2(A, B, C)))) ) ) ) ) ) ).
fof(t93_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) => k15_qc_lang2(A, k4_qc_lang2(A, B, C))=k2_xboole_0(k2_xboole_0(k15_qc_lang2(A, B), k15_qc_lang2(A, C)), k5_enumset1(k13_qc_lang1(A, C), k14_qc_lang1(A, B, k13_qc_lang1(A, C)), k2_qc_lang2(A, B, C), k13_qc_lang1(A, B), k14_qc_lang1(A, C, k13_qc_lang1(A, B)), k2_qc_lang2(A, C, B), k4_qc_lang2(A, B, C)))) ) ) ) ) ) ).
fof(t94_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  ( (B=k12_qc_lang1(A) | v2_qc_lang1(B, A))  <=> k15_qc_lang2(A, B)=k1_tarski(B)) ) ) ) ) ).
fof(t95_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v3_qc_lang1(B, A) => k15_qc_lang2(A, B)=k2_xboole_0(k15_qc_lang2(A, k18_qc_lang1(A, B)), k1_tarski(B))) ) ) ) ) ).
fof(t96_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v4_qc_lang1(B, A) => k15_qc_lang2(A, B)=k2_xboole_0(k2_xboole_0(k15_qc_lang2(A, k19_qc_lang1(A, B)), k15_qc_lang2(A, k20_qc_lang1(A, B))), k1_tarski(B))) ) ) ) ) ).
fof(t97_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v5_qc_lang1(B, A) => k15_qc_lang2(A, B)=k2_xboole_0(k15_qc_lang2(A, k22_qc_lang1(A, B)), k1_tarski(B))) ) ) ) ) ).
fof(t98_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m1_subset_1(D, k9_qc_lang1(A)) =>  (r2_tarski(C, k15_qc_lang2(A, B)) =>  ( ( ~ (r1_qc_lang2(A, D, C))  &  ( ~ (r3_qc_lang2(A, D, C))  &  ~ (r2_qc_lang2(A, D, C)) ) )  | r2_tarski(D, k15_qc_lang2(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_qc_lang2, axiom,  (! [A] :  (m1_qc_lang1(A) => m1_subset_1(k1_qc_lang2(A), k9_qc_lang1(A))) ) ).
fof(dt_k2_qc_lang2, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k9_qc_lang1(A)) & m1_subset_1(C, k9_qc_lang1(A))) )  => m1_subset_1(k2_qc_lang2(A, B, C), k9_qc_lang1(A))) ) ).
fof(dt_k3_qc_lang2, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k9_qc_lang1(A)) & m1_subset_1(C, k9_qc_lang1(A))) )  => m1_subset_1(k3_qc_lang2(A, B, C), k9_qc_lang1(A))) ) ).
fof(dt_k4_qc_lang2, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k9_qc_lang1(A)) & m1_subset_1(C, k9_qc_lang1(A))) )  => m1_subset_1(k4_qc_lang2(A, B, C), k9_qc_lang1(A))) ) ).
fof(dt_k5_qc_lang2, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_qc_lang1(A)) & m1_subset_1(C, k9_qc_lang1(A))) )  => m1_subset_1(k5_qc_lang2(A, B, C), k9_qc_lang1(A))) ) ).
fof(dt_k6_qc_lang2, axiom,  (! [A, B, C, D] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_qc_lang1(A)) &  (m1_subset_1(C, k3_qc_lang1(A)) & m1_subset_1(D, k9_qc_lang1(A))) ) )  => m1_subset_1(k6_qc_lang2(A, B, C, D), k9_qc_lang1(A))) ) ).
fof(dt_k7_qc_lang2, axiom,  (! [A, B, C, D] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_qc_lang1(A)) &  (m1_subset_1(C, k3_qc_lang1(A)) & m1_subset_1(D, k9_qc_lang1(A))) ) )  => m1_subset_1(k7_qc_lang2(A, B, C, D), k9_qc_lang1(A))) ) ).
fof(dt_k8_qc_lang2, axiom,  (! [A, B, C, D, E] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_qc_lang1(A)) &  (m1_subset_1(C, k3_qc_lang1(A)) &  (m1_subset_1(D, k3_qc_lang1(A)) & m1_subset_1(E, k9_qc_lang1(A))) ) ) )  => m1_subset_1(k8_qc_lang2(A, B, C, D, E), k9_qc_lang1(A))) ) ).
fof(dt_k9_qc_lang2, axiom,  (! [A, B, C, D, E] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_qc_lang1(A)) &  (m1_subset_1(C, k3_qc_lang1(A)) &  (m1_subset_1(D, k3_qc_lang1(A)) & m1_subset_1(E, k9_qc_lang1(A))) ) ) )  => m1_subset_1(k9_qc_lang2(A, B, C, D, E), k9_qc_lang1(A))) ) ).
fof(dt_k10_qc_lang2, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k9_qc_lang1(A)))  => m1_subset_1(k10_qc_lang2(A, B), k9_qc_lang1(A))) ) ).
fof(dt_k11_qc_lang2, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k9_qc_lang1(A)))  => m1_subset_1(k11_qc_lang2(A, B), k9_qc_lang1(A))) ) ).
fof(dt_k12_qc_lang2, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k9_qc_lang1(A)))  => m1_subset_1(k12_qc_lang2(A, B), k9_qc_lang1(A))) ) ).
fof(dt_k13_qc_lang2, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k9_qc_lang1(A)))  => m1_subset_1(k13_qc_lang2(A, B), k9_qc_lang1(A))) ) ).
fof(dt_k14_qc_lang2, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k9_qc_lang1(A)))  => m1_subset_1(k14_qc_lang2(A, B), k9_qc_lang1(A))) ) ).
fof(reflexivity_r2_qc_lang2, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k9_qc_lang1(A)) & m1_subset_1(C, k9_qc_lang1(A))) )  => r2_qc_lang2(A, B, B)) ) ).
fof(irreflexivity_r3_qc_lang2, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k9_qc_lang1(A)) & m1_subset_1(C, k9_qc_lang1(A))) )  =>  ~ (r3_qc_lang2(A, B, B)) ) ) ).
fof(t1_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k6_qc_lang1(A)) => m2_subset_1(B, k6_qc_lang1(A), k8_qc_lang1(A, k7_qc_lang1(A, B)))) ) ) ) ).
fof(t2_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k2_qc_lang1(A)) => k23_qc_lang1(A, B)=k1_qc_lang3(A, B, k3_qc_lang1(A))) ) ) ) ).
fof(t3_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) => k24_qc_lang1(A, k12_qc_lang1(A))=k1_xboole_0) ) ).
fof(t4_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v2_qc_lang1(B, A) => k24_qc_lang1(A, B)=k23_qc_lang1(A, k17_qc_lang1(A, B))) ) ) ) ) ).
fof(t5_qc_lang3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_qc_lang1(B) =>  (! [C] :  (m2_subset_1(C, k6_qc_lang1(B), k8_qc_lang1(B, A)) =>  (! [D] :  ( (v3_card_1(D, A) & m2_finseq_1(D, k2_qc_lang1(B)))  => k24_qc_lang1(B, k10_qc_lang1(B, C, D))=k23_qc_lang1(B, D)) ) ) ) ) ) ) ) ).
fof(t6_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v3_qc_lang1(B, A) => k24_qc_lang1(A, B)=k24_qc_lang1(A, k18_qc_lang1(A, B))) ) ) ) ) ).
fof(t7_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) => k24_qc_lang1(A, k13_qc_lang1(A, B))=k24_qc_lang1(A, B)) ) ) ) ).
fof(t8_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) => k24_qc_lang1(A, k1_qc_lang2(A))=k1_xboole_0) ) ).
fof(t9_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v4_qc_lang1(B, A) => k24_qc_lang1(A, B)=k4_subset_1(k3_qc_lang1(A), k24_qc_lang1(A, k19_qc_lang1(A, B)), k24_qc_lang1(A, k20_qc_lang1(A, B)))) ) ) ) ) ).
fof(t10_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) => k24_qc_lang1(A, k14_qc_lang1(A, B, C))=k4_subset_1(k3_qc_lang1(A), k24_qc_lang1(A, B), k24_qc_lang1(A, C))) ) ) ) ) ) ).
fof(t11_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v5_qc_lang1(B, A) => k24_qc_lang1(A, B)=k7_subset_1(k3_qc_lang1(A), k24_qc_lang1(A, k22_qc_lang1(A, B)), k1_tarski(k21_qc_lang1(A, B)))) ) ) ) ) ).
fof(t12_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) => k24_qc_lang1(A, k15_qc_lang1(A, B, C))=k7_subset_1(k3_qc_lang1(A), k24_qc_lang1(A, C), k1_tarski(B))) ) ) ) ) ) ).
fof(t13_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v1_qc_lang2(B, A) => k24_qc_lang1(A, B)=k4_subset_1(k3_qc_lang1(A), k24_qc_lang1(A, k10_qc_lang2(A, B)), k24_qc_lang1(A, k11_qc_lang2(A, B)))) ) ) ) ) ).
fof(t14_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) => k24_qc_lang1(A, k3_qc_lang2(A, B, C))=k4_subset_1(k3_qc_lang1(A), k24_qc_lang1(A, B), k24_qc_lang1(A, C))) ) ) ) ) ) ).
fof(t15_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v2_qc_lang2(B, A) => k24_qc_lang1(A, B)=k4_subset_1(k3_qc_lang1(A), k24_qc_lang1(A, k12_qc_lang2(A, B)), k24_qc_lang1(A, k11_qc_lang2(A, B)))) ) ) ) ) ).
fof(t16_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) => k24_qc_lang1(A, k2_qc_lang2(A, B, C))=k4_subset_1(k3_qc_lang1(A), k24_qc_lang1(A, B), k24_qc_lang1(A, C))) ) ) ) ) ) ).
fof(t17_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v3_qc_lang2(B, A) => k24_qc_lang1(A, B)=k4_subset_1(k3_qc_lang1(A), k24_qc_lang1(A, k13_qc_lang2(A, B)), k24_qc_lang1(A, k14_qc_lang2(A, B)))) ) ) ) ) ).
fof(t18_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) => k24_qc_lang1(A, k4_qc_lang2(A, B, C))=k4_subset_1(k3_qc_lang1(A), k24_qc_lang1(A, B), k24_qc_lang1(A, C))) ) ) ) ) ) ).
fof(t19_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) => k24_qc_lang1(A, k5_qc_lang2(A, B, C))=k7_subset_1(k3_qc_lang1(A), k24_qc_lang1(A, C), k1_tarski(B))) ) ) ) ) ) ).
fof(t20_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (v6_qc_lang1(k12_qc_lang1(A), A) & v6_qc_lang1(k1_qc_lang2(A), A)) ) ) ).
fof(t21_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v6_qc_lang1(B, A) <=> v6_qc_lang1(k13_qc_lang1(A, B), A)) ) ) ) ) ).
fof(t22_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  ( (v6_qc_lang1(B, A) & v6_qc_lang1(C, A))  <=> v6_qc_lang1(k14_qc_lang1(A, B, C), A)) ) ) ) ) ) ) ).
fof(t23_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (v6_qc_lang1(k15_qc_lang1(A, B, C), A) <=> r1_tarski(k24_qc_lang1(A, C), k1_tarski(B))) ) ) ) ) ) ) ).
fof(t24_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (v6_qc_lang1(C, A) => v6_qc_lang1(k15_qc_lang1(A, B, C), A)) ) ) ) ) ) ) ).
fof(t25_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  ( (v6_qc_lang1(B, A) & v6_qc_lang1(C, A))  <=> v6_qc_lang1(k3_qc_lang2(A, B, C), A)) ) ) ) ) ) ) ).
fof(t26_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  ( (v6_qc_lang1(B, A) & v6_qc_lang1(C, A))  <=> v6_qc_lang1(k2_qc_lang2(A, B, C), A)) ) ) ) ) ) ) ).
fof(t27_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  ( (v6_qc_lang1(B, A) & v6_qc_lang1(C, A))  <=> v6_qc_lang1(k4_qc_lang2(A, B, C), A)) ) ) ) ) ) ) ).
fof(t28_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (v6_qc_lang1(k5_qc_lang2(A, B, C), A) <=> r1_tarski(k24_qc_lang1(A, C), k1_tarski(B))) ) ) ) ) ) ) ).
fof(t29_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (v6_qc_lang1(C, A) => v6_qc_lang1(k5_qc_lang2(A, B, C), A)) ) ) ) ) ) ) ).
fof(d2_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_qc_lang1(A)) => k2_qc_lang3(A, B)=k4_tarski(4, B)) ) ) ) ).
fof(t30_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (? [C] :  (m1_subset_1(C, k1_qc_lang1(A)) & k2_qc_lang3(A, C)=B) ) ) ) ) ) ).
fof(d3_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) => k3_qc_lang3(A, B)=k4_tarski(6, B)) ) ) ) ).
fof(t31_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k5_qc_lang1(A)) =>  (? [C] :  (v7_ordinal1(C) & k3_qc_lang3(A, C)=B) ) ) ) ) ) ).
fof(t32_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k4_qc_lang1(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k5_qc_lang1(A)) =>  ~ (B=C) ) ) ) ) ) ) ).
fof(t33_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k4_qc_lang1(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ~ (B=C) ) ) ) ) ) ) ).
fof(t34_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k5_qc_lang1(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ~ (B=C) ) ) ) ) ) ) ).
fof(d4_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k2_qc_lang1(A))))  =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) =>  (D=k4_qc_lang3(A, B, C) <=>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k9_qc_lang1(A), k1_zfmisc_1(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k9_qc_lang1(A), k1_zfmisc_1(B))))) )  &  (D=k3_funct_2(k9_qc_lang1(A), k1_zfmisc_1(B), E, C) &  (! [F] :  (m1_subset_1(F, k9_qc_lang1(A)) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(B)) =>  (! [H] :  (m1_subset_1(H, k1_zfmisc_1(B)) =>  ( (F=k12_qc_lang1(A) => k3_funct_2(k9_qc_lang1(A), k1_zfmisc_1(B), E, F)=k1_subset_1(B))  &  ( (v2_qc_lang1(F, A) => k3_funct_2(k9_qc_lang1(A), k1_zfmisc_1(B), E, F)=k1_qc_lang3(A, k17_qc_lang1(A, F), B))  &  ( ( (v3_qc_lang1(F, A) & G=k3_funct_2(k9_qc_lang1(A), k1_zfmisc_1(B), E, k18_qc_lang1(A, F)))  => k3_funct_2(k9_qc_lang1(A), k1_zfmisc_1(B), E, F)=G)  &  ( ( (v4_qc_lang1(F, A) &  (G=k3_funct_2(k9_qc_lang1(A), k1_zfmisc_1(B), E, k19_qc_lang1(A, F)) & H=k3_funct_2(k9_qc_lang1(A), k1_zfmisc_1(B), E, k20_qc_lang1(A, F))) )  => k3_funct_2(k9_qc_lang1(A), k1_zfmisc_1(B), E, F)=k4_subset_1(B, G, H))  &  ( (v5_qc_lang1(F, A) & G=k3_funct_2(k9_qc_lang1(A), k1_zfmisc_1(B), E, k22_qc_lang1(A, F)))  => k3_funct_2(k9_qc_lang1(A), k1_zfmisc_1(B), E, F)=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k2_qc_lang1(A))))  => k4_qc_lang3(A, B, k12_qc_lang1(A))=k1_xboole_0) ) ) ) ).
fof(t38_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k2_qc_lang1(A))))  =>  (v3_qc_lang1(B, A) => k4_qc_lang3(A, C, B)=k4_qc_lang3(A, C, k18_qc_lang1(A, B))) ) ) ) ) ) ) ).
fof(t39_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k2_qc_lang1(A))))  => k4_qc_lang3(A, C, k13_qc_lang1(A, B))=k4_qc_lang3(A, C, B)) ) ) ) ) ) ).
fof(t40_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k2_qc_lang1(A))))  => k4_qc_lang3(A, B, k1_qc_lang2(A))=k1_xboole_0) ) ) ) ).
fof(t41_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k2_qc_lang1(A))))  =>  (v4_qc_lang1(B, A) => k4_qc_lang3(A, C, B)=k4_subset_1(C, k4_qc_lang3(A, C, k19_qc_lang1(A, B)), k4_qc_lang3(A, C, k20_qc_lang1(A, B)))) ) ) ) ) ) ) ).
fof(t42_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k2_qc_lang1(A))))  => k4_qc_lang3(A, D, k14_qc_lang1(A, B, C))=k4_subset_1(D, k4_qc_lang3(A, D, B), k4_qc_lang3(A, D, C))) ) ) ) ) ) ) ) ).
fof(t43_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k2_qc_lang1(A))))  =>  (v5_qc_lang1(B, A) => k4_qc_lang3(A, C, B)=k4_qc_lang3(A, C, k22_qc_lang1(A, B))) ) ) ) ) ) ) ).
fof(t44_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k2_qc_lang1(A))))  => k4_qc_lang3(A, D, k15_qc_lang1(A, B, C))=k4_qc_lang3(A, D, C)) ) ) ) ) ) ) ) ).
fof(t45_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k2_qc_lang1(A))))  =>  (v1_qc_lang2(B, A) => k4_qc_lang3(A, C, B)=k4_subset_1(C, k4_qc_lang3(A, C, k10_qc_lang2(A, B)), k4_qc_lang3(A, C, k11_qc_lang2(A, B)))) ) ) ) ) ) ) ).
fof(t46_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k2_qc_lang1(A))))  => k4_qc_lang3(A, D, k3_qc_lang2(A, B, C))=k4_subset_1(D, k4_qc_lang3(A, D, B), k4_qc_lang3(A, D, C))) ) ) ) ) ) ) ) ).
fof(t47_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k2_qc_lang1(A))))  =>  (v2_qc_lang2(B, A) => k4_qc_lang3(A, C, B)=k4_subset_1(C, k4_qc_lang3(A, C, k12_qc_lang2(A, B)), k4_qc_lang3(A, C, k11_qc_lang2(A, B)))) ) ) ) ) ) ) ).
fof(t48_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k2_qc_lang1(A))))  => k4_qc_lang3(A, D, k2_qc_lang2(A, B, C))=k4_subset_1(D, k4_qc_lang3(A, D, B), k4_qc_lang3(A, D, C))) ) ) ) ) ) ) ) ).
fof(t49_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k2_qc_lang1(A))))  =>  (v3_qc_lang2(B, A) => k4_qc_lang3(A, C, B)=k4_subset_1(C, k4_qc_lang3(A, C, k13_qc_lang2(A, B)), k4_qc_lang3(A, C, k14_qc_lang2(A, B)))) ) ) ) ) ) ) ).
fof(t50_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k2_qc_lang1(A))))  => k4_qc_lang3(A, D, k4_qc_lang2(A, B, C))=k4_subset_1(D, k4_qc_lang3(A, D, B), k4_qc_lang3(A, D, C))) ) ) ) ) ) ) ) ).
fof(t51_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k2_qc_lang1(A))))  =>  (v4_qc_lang2(B, A) => k4_qc_lang3(A, C, B)=k4_qc_lang3(A, C, k18_qc_lang1(A, k22_qc_lang1(A, k18_qc_lang1(A, B))))) ) ) ) ) ) ) ).
fof(t52_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k2_qc_lang1(A))))  => k4_qc_lang3(A, D, k5_qc_lang2(A, B, C))=k4_qc_lang3(A, D, C)) ) ) ) ) ) ) ) ).
fof(d5_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) => k5_qc_lang3(A, B)=k4_qc_lang3(A, k5_qc_lang1(A), B)) ) ) ) ).
fof(t53_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) => k5_qc_lang3(A, k12_qc_lang1(A))=k1_xboole_0) ) ).
fof(t55_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) => k5_qc_lang3(A, k13_qc_lang1(A, B))=k5_qc_lang3(A, B)) ) ) ) ).
fof(t56_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) => k5_qc_lang3(A, k1_qc_lang2(A))=k1_xboole_0) ) ).
fof(t57_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) => k5_qc_lang3(A, k14_qc_lang1(A, B, C))=k4_subset_1(k5_qc_lang1(A), k5_qc_lang3(A, B), k5_qc_lang3(A, C))) ) ) ) ) ) ).
fof(t58_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) => k5_qc_lang3(A, k15_qc_lang1(A, B, C))=k5_qc_lang3(A, C)) ) ) ) ) ) ).
fof(t59_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) => k5_qc_lang3(A, k3_qc_lang2(A, B, C))=k4_subset_1(k5_qc_lang1(A), k5_qc_lang3(A, B), k5_qc_lang3(A, C))) ) ) ) ) ) ).
fof(t60_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) => k5_qc_lang3(A, k2_qc_lang2(A, B, C))=k4_subset_1(k5_qc_lang1(A), k5_qc_lang3(A, B), k5_qc_lang3(A, C))) ) ) ) ) ) ).
fof(t61_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) => k5_qc_lang3(A, k4_qc_lang2(A, B, C))=k4_subset_1(k5_qc_lang1(A), k5_qc_lang3(A, B), k5_qc_lang3(A, C))) ) ) ) ) ) ).
fof(t62_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) => k5_qc_lang3(A, k5_qc_lang2(A, B, C))=k5_qc_lang3(A, C)) ) ) ) ) ) ).
fof(d6_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) => k6_qc_lang3(A, B)=k4_qc_lang3(A, k4_qc_lang1(A), B)) ) ) ) ).
fof(t63_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) => k6_qc_lang3(A, k12_qc_lang1(A))=k1_xboole_0) ) ).
fof(t65_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) => k6_qc_lang3(A, k13_qc_lang1(A, B))=k6_qc_lang3(A, B)) ) ) ) ).
fof(t66_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) => k6_qc_lang3(A, k1_qc_lang2(A))=k1_xboole_0) ) ).
fof(t67_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) => k6_qc_lang3(A, k14_qc_lang1(A, B, C))=k4_subset_1(k4_qc_lang1(A), k6_qc_lang3(A, B), k6_qc_lang3(A, C))) ) ) ) ) ) ).
fof(t68_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) => k6_qc_lang3(A, k15_qc_lang1(A, B, C))=k6_qc_lang3(A, C)) ) ) ) ) ) ).
fof(t69_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) => k6_qc_lang3(A, k3_qc_lang2(A, B, C))=k4_subset_1(k4_qc_lang1(A), k6_qc_lang3(A, B), k6_qc_lang3(A, C))) ) ) ) ) ) ).
fof(t70_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) => k6_qc_lang3(A, k2_qc_lang2(A, B, C))=k4_subset_1(k4_qc_lang1(A), k6_qc_lang3(A, B), k6_qc_lang3(A, C))) ) ) ) ) ) ).
fof(t71_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) => k6_qc_lang3(A, k4_qc_lang2(A, B, C))=k4_subset_1(k4_qc_lang1(A), k6_qc_lang3(A, B), k6_qc_lang3(A, C))) ) ) ) ) ) ).
fof(t72_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) => k6_qc_lang3(A, k5_qc_lang2(A, B, C))=k6_qc_lang3(A, C)) ) ) ) ) ) ).
fof(s1_qc_lang3, axiom,  ( ( (! [A] :  (m1_subset_1(A, k9_qc_lang1(f1_s1_qc_lang3)) =>  (! [B] :  (m1_subset_1(B, f2_s1_qc_lang3) =>  (! [C] :  (m1_subset_1(C, f2_s1_qc_lang3) =>  ( (A=k12_qc_lang1(f1_s1_qc_lang3) => k3_funct_2(k9_qc_lang1(f1_s1_qc_lang3), f2_s1_qc_lang3, f3_s1_qc_lang3, A)=f5_s1_qc_lang3)  &  ( (v2_qc_lang1(A, f1_s1_qc_lang3) => k3_funct_2(k9_qc_lang1(f1_s1_qc_lang3), f2_s1_qc_lang3, f3_s1_qc_lang3, A)=f6_s1_qc_lang3(A))  &  ( ( (v3_qc_lang1(A, f1_s1_qc_lang3) & B=k3_funct_2(k9_qc_lang1(f1_s1_qc_lang3), f2_s1_qc_lang3, f3_s1_qc_lang3, k18_qc_lang1(f1_s1_qc_lang3, A)))  => k3_funct_2(k9_qc_lang1(f1_s1_qc_lang3), f2_s1_qc_lang3, f3_s1_qc_lang3, A)=f7_s1_qc_lang3(B))  &  ( ( (v4_qc_lang1(A, f1_s1_qc_lang3) &  (B=k3_funct_2(k9_qc_lang1(f1_s1_qc_lang3), f2_s1_qc_lang3, f3_s1_qc_lang3, k19_qc_lang1(f1_s1_qc_lang3, A)) & C=k3_funct_2(k9_qc_lang1(f1_s1_qc_lang3), f2_s1_qc_lang3, f3_s1_qc_lang3, k20_qc_lang1(f1_s1_qc_lang3, A))) )  => k3_funct_2(k9_qc_lang1(f1_s1_qc_lang3), f2_s1_qc_lang3, f3_s1_qc_lang3, A)=f8_s1_qc_lang3(B, C))  &  ( (v5_qc_lang1(A, f1_s1_qc_lang3) & B=k3_funct_2(k9_qc_lang1(f1_s1_qc_lang3), f2_s1_qc_lang3, f3_s1_qc_lang3, k22_qc_lang1(f1_s1_qc_lang3, A)))  => k3_funct_2(k9_qc_lang1(f1_s1_qc_lang3), f2_s1_qc_lang3, f3_s1_qc_lang3, A)=f9_s1_qc_lang3(A, B)) ) ) ) ) ) ) ) ) ) )  &  (! [A] :  (m1_subset_1(A, k9_qc_lang1(f1_s1_qc_lang3)) =>  (! [B] :  (m1_subset_1(B, f2_s1_qc_lang3) =>  (! [C] :  (m1_subset_1(C, f2_s1_qc_lang3) =>  ( (A=k12_qc_lang1(f1_s1_qc_lang3) => k3_funct_2(k9_qc_lang1(f1_s1_qc_lang3), f2_s1_qc_lang3, f4_s1_qc_lang3, A)=f5_s1_qc_lang3)  &  ( (v2_qc_lang1(A, f1_s1_qc_lang3) => k3_funct_2(k9_qc_lang1(f1_s1_qc_lang3), f2_s1_qc_lang3, f4_s1_qc_lang3, A)=f6_s1_qc_lang3(A))  &  ( ( (v3_qc_lang1(A, f1_s1_qc_lang3) & B=k3_funct_2(k9_qc_lang1(f1_s1_qc_lang3), f2_s1_qc_lang3, f4_s1_qc_lang3, k18_qc_lang1(f1_s1_qc_lang3, A)))  => k3_funct_2(k9_qc_lang1(f1_s1_qc_lang3), f2_s1_qc_lang3, f4_s1_qc_lang3, A)=f7_s1_qc_lang3(B))  &  ( ( (v4_qc_lang1(A, f1_s1_qc_lang3) &  (B=k3_funct_2(k9_qc_lang1(f1_s1_qc_lang3), f2_s1_qc_lang3, f4_s1_qc_lang3, k19_qc_lang1(f1_s1_qc_lang3, A)) & C=k3_funct_2(k9_qc_lang1(f1_s1_qc_lang3), f2_s1_qc_lang3, f4_s1_qc_lang3, k20_qc_lang1(f1_s1_qc_lang3, A))) )  => k3_funct_2(k9_qc_lang1(f1_s1_qc_lang3), f2_s1_qc_lang3, f4_s1_qc_lang3, A)=f8_s1_qc_lang3(B, C))  &  ( (v5_qc_lang1(A, f1_s1_qc_lang3) & B=k3_funct_2(k9_qc_lang1(f1_s1_qc_lang3), f2_s1_qc_lang3, f4_s1_qc_lang3, k22_qc_lang1(f1_s1_qc_lang3, A)))  => k3_funct_2(k9_qc_lang1(f1_s1_qc_lang3), f2_s1_qc_lang3, f4_s1_qc_lang3, A)=f9_s1_qc_lang3(A, B)) ) ) ) ) ) ) ) ) ) ) )  => r2_funct_2(k9_qc_lang1(f1_s1_qc_lang3), f2_s1_qc_lang3, f3_s1_qc_lang3, f4_s1_qc_lang3)) ).
fof(s2_qc_lang3, axiom,  ( (? [A] :  (m1_subset_1(A, f2_s2_qc_lang3) &  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k9_qc_lang1(f1_s2_qc_lang3), f2_s2_qc_lang3) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_qc_lang1(f1_s2_qc_lang3), f2_s2_qc_lang3)))) )  &  (A=k3_funct_2(k9_qc_lang1(f1_s2_qc_lang3), f2_s2_qc_lang3, B, f4_s2_qc_lang3) &  (! [C] :  (m1_subset_1(C, k9_qc_lang1(f1_s2_qc_lang3)) =>  (! [D] :  (m1_subset_1(D, f2_s2_qc_lang3) =>  (! [E] :  (m1_subset_1(E, f2_s2_qc_lang3) =>  ( (C=k12_qc_lang1(f1_s2_qc_lang3) => k3_funct_2(k9_qc_lang1(f1_s2_qc_lang3), f2_s2_qc_lang3, B, C)=f3_s2_qc_lang3)  &  ( (v2_qc_lang1(C, f1_s2_qc_lang3) => k3_funct_2(k9_qc_lang1(f1_s2_qc_lang3), f2_s2_qc_lang3, B, C)=f5_s2_qc_lang3(C))  &  ( ( (v3_qc_lang1(C, f1_s2_qc_lang3) & D=k3_funct_2(k9_qc_lang1(f1_s2_qc_lang3), f2_s2_qc_lang3, B, k18_qc_lang1(f1_s2_qc_lang3, C)))  => k3_funct_2(k9_qc_lang1(f1_s2_qc_lang3), f2_s2_qc_lang3, B, C)=f6_s2_qc_lang3(D))  &  ( ( (v4_qc_lang1(C, f1_s2_qc_lang3) &  (D=k3_funct_2(k9_qc_lang1(f1_s2_qc_lang3), f2_s2_qc_lang3, B, k19_qc_lang1(f1_s2_qc_lang3, C)) & E=k3_funct_2(k9_qc_lang1(f1_s2_qc_lang3), f2_s2_qc_lang3, B, k20_qc_lang1(f1_s2_qc_lang3, C))) )  => k3_funct_2(k9_qc_lang1(f1_s2_qc_lang3), f2_s2_qc_lang3, B, C)=f7_s2_qc_lang3(D, E))  &  ( (v5_qc_lang1(C, f1_s2_qc_lang3) & D=k3_funct_2(k9_qc_lang1(f1_s2_qc_lang3), f2_s2_qc_lang3, B, k22_qc_lang1(f1_s2_qc_lang3, C)))  => k3_funct_2(k9_qc_lang1(f1_s2_qc_lang3), f2_s2_qc_lang3, B, C)=f8_s2_qc_lang3(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (! [A] :  (m1_subset_1(A, f2_s2_qc_lang3) =>  (! [B] :  (m1_subset_1(B, f2_s2_qc_lang3) =>  ~ ( ( (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k9_qc_lang1(f1_s2_qc_lang3), f2_s2_qc_lang3) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_qc_lang1(f1_s2_qc_lang3), f2_s2_qc_lang3)))) )  &  (A=k3_funct_2(k9_qc_lang1(f1_s2_qc_lang3), f2_s2_qc_lang3, C, f4_s2_qc_lang3) &  (! [D] :  (m1_subset_1(D, k9_qc_lang1(f1_s2_qc_lang3)) =>  (! [E] :  (m1_subset_1(E, f2_s2_qc_lang3) =>  (! [F] :  (m1_subset_1(F, f2_s2_qc_lang3) =>  ( (D=k12_qc_lang1(f1_s2_qc_lang3) => k3_funct_2(k9_qc_lang1(f1_s2_qc_lang3), f2_s2_qc_lang3, C, D)=f3_s2_qc_lang3)  &  ( (v2_qc_lang1(D, f1_s2_qc_lang3) => k3_funct_2(k9_qc_lang1(f1_s2_qc_lang3), f2_s2_qc_lang3, C, D)=f5_s2_qc_lang3(D))  &  ( ( (v3_qc_lang1(D, f1_s2_qc_lang3) & E=k3_funct_2(k9_qc_lang1(f1_s2_qc_lang3), f2_s2_qc_lang3, C, k18_qc_lang1(f1_s2_qc_lang3, D)))  => k3_funct_2(k9_qc_lang1(f1_s2_qc_lang3), f2_s2_qc_lang3, C, D)=f6_s2_qc_lang3(E))  &  ( ( (v4_qc_lang1(D, f1_s2_qc_lang3) &  (E=k3_funct_2(k9_qc_lang1(f1_s2_qc_lang3), f2_s2_qc_lang3, C, k19_qc_lang1(f1_s2_qc_lang3, D)) & F=k3_funct_2(k9_qc_lang1(f1_s2_qc_lang3), f2_s2_qc_lang3, C, k20_qc_lang1(f1_s2_qc_lang3, D))) )  => k3_funct_2(k9_qc_lang1(f1_s2_qc_lang3), f2_s2_qc_lang3, C, D)=f7_s2_qc_lang3(E, F))  &  ( (v5_qc_lang1(D, f1_s2_qc_lang3) & E=k3_funct_2(k9_qc_lang1(f1_s2_qc_lang3), f2_s2_qc_lang3, C, k22_qc_lang1(f1_s2_qc_lang3, D)))  => k3_funct_2(k9_qc_lang1(f1_s2_qc_lang3), f2_s2_qc_lang3, C, D)=f8_s2_qc_lang3(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k9_qc_lang1(f1_s2_qc_lang3), f2_s2_qc_lang3) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_qc_lang1(f1_s2_qc_lang3), f2_s2_qc_lang3)))) )  &  (B=k3_funct_2(k9_qc_lang1(f1_s2_qc_lang3), f2_s2_qc_lang3, C, f4_s2_qc_lang3) &  (! [D] :  (m1_subset_1(D, k9_qc_lang1(f1_s2_qc_lang3)) =>  (! [E] :  (m1_subset_1(E, f2_s2_qc_lang3) =>  (! [F] :  (m1_subset_1(F, f2_s2_qc_lang3) =>  ( (D=k12_qc_lang1(f1_s2_qc_lang3) => k3_funct_2(k9_qc_lang1(f1_s2_qc_lang3), f2_s2_qc_lang3, C, D)=f3_s2_qc_lang3)  &  ( (v2_qc_lang1(D, f1_s2_qc_lang3) => k3_funct_2(k9_qc_lang1(f1_s2_qc_lang3), f2_s2_qc_lang3, C, D)=f5_s2_qc_lang3(D))  &  ( ( (v3_qc_lang1(D, f1_s2_qc_lang3) & E=k3_funct_2(k9_qc_lang1(f1_s2_qc_lang3), f2_s2_qc_lang3, C, k18_qc_lang1(f1_s2_qc_lang3, D)))  => k3_funct_2(k9_qc_lang1(f1_s2_qc_lang3), f2_s2_qc_lang3, C, D)=f6_s2_qc_lang3(E))  &  ( ( (v4_qc_lang1(D, f1_s2_qc_lang3) &  (E=k3_funct_2(k9_qc_lang1(f1_s2_qc_lang3), f2_s2_qc_lang3, C, k19_qc_lang1(f1_s2_qc_lang3, D)) & F=k3_funct_2(k9_qc_lang1(f1_s2_qc_lang3), f2_s2_qc_lang3, C, k20_qc_lang1(f1_s2_qc_lang3, D))) )  => k3_funct_2(k9_qc_lang1(f1_s2_qc_lang3), f2_s2_qc_lang3, C, D)=f7_s2_qc_lang3(E, F))  &  ( (v5_qc_lang1(D, f1_s2_qc_lang3) & E=k3_funct_2(k9_qc_lang1(f1_s2_qc_lang3), f2_s2_qc_lang3, C, k22_qc_lang1(f1_s2_qc_lang3, D)))  => k3_funct_2(k9_qc_lang1(f1_s2_qc_lang3), f2_s2_qc_lang3, C, D)=f8_s2_qc_lang3(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ~ (A=B) ) ) ) ) ) ) ) ) ).
fof(s3_qc_lang3, axiom,  ( (! [A] :  (m1_subset_1(A, k9_qc_lang1(f1_s3_qc_lang3)) =>  (! [B] :  (m1_subset_1(B, f2_s3_qc_lang3) =>  (B=f3_s3_qc_lang3(A) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k9_qc_lang1(f1_s3_qc_lang3), f2_s3_qc_lang3) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_qc_lang1(f1_s3_qc_lang3), f2_s3_qc_lang3)))) )  &  (B=k3_funct_2(k9_qc_lang1(f1_s3_qc_lang3), f2_s3_qc_lang3, C, A) &  (! [D] :  (m1_subset_1(D, k9_qc_lang1(f1_s3_qc_lang3)) =>  (! [E] :  (m1_subset_1(E, f2_s3_qc_lang3) =>  (! [F] :  (m1_subset_1(F, f2_s3_qc_lang3) =>  ( (D=k12_qc_lang1(f1_s3_qc_lang3) => k3_funct_2(k9_qc_lang1(f1_s3_qc_lang3), f2_s3_qc_lang3, C, D)=f4_s3_qc_lang3)  &  ( (v2_qc_lang1(D, f1_s3_qc_lang3) => k3_funct_2(k9_qc_lang1(f1_s3_qc_lang3), f2_s3_qc_lang3, C, D)=f5_s3_qc_lang3(D))  &  ( ( (v3_qc_lang1(D, f1_s3_qc_lang3) & E=k3_funct_2(k9_qc_lang1(f1_s3_qc_lang3), f2_s3_qc_lang3, C, k18_qc_lang1(f1_s3_qc_lang3, D)))  => k3_funct_2(k9_qc_lang1(f1_s3_qc_lang3), f2_s3_qc_lang3, C, D)=f6_s3_qc_lang3(E))  &  ( ( (v4_qc_lang1(D, f1_s3_qc_lang3) &  (E=k3_funct_2(k9_qc_lang1(f1_s3_qc_lang3), f2_s3_qc_lang3, C, k19_qc_lang1(f1_s3_qc_lang3, D)) & F=k3_funct_2(k9_qc_lang1(f1_s3_qc_lang3), f2_s3_qc_lang3, C, k20_qc_lang1(f1_s3_qc_lang3, D))) )  => k3_funct_2(k9_qc_lang1(f1_s3_qc_lang3), f2_s3_qc_lang3, C, D)=f7_s3_qc_lang3(E, F))  &  ( (v5_qc_lang1(D, f1_s3_qc_lang3) & E=k3_funct_2(k9_qc_lang1(f1_s3_qc_lang3), f2_s3_qc_lang3, C, k22_qc_lang1(f1_s3_qc_lang3, D)))  => k3_funct_2(k9_qc_lang1(f1_s3_qc_lang3), f2_s3_qc_lang3, C, D)=f8_s3_qc_lang3(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  => f3_s3_qc_lang3(k12_qc_lang1(f1_s3_qc_lang3))=f4_s3_qc_lang3) ).
fof(s4_qc_lang3, axiom,  ( ( (! [A] :  (m1_subset_1(A, k9_qc_lang1(f1_s4_qc_lang3)) =>  (! [B] :  (m1_subset_1(B, f2_s4_qc_lang3) =>  (B=f4_s4_qc_lang3(A) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k9_qc_lang1(f1_s4_qc_lang3), f2_s4_qc_lang3) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_qc_lang1(f1_s4_qc_lang3), f2_s4_qc_lang3)))) )  &  (B=k3_funct_2(k9_qc_lang1(f1_s4_qc_lang3), f2_s4_qc_lang3, C, A) &  (! [D] :  (m1_subset_1(D, k9_qc_lang1(f1_s4_qc_lang3)) =>  (! [E] :  (m1_subset_1(E, f2_s4_qc_lang3) =>  (! [F] :  (m1_subset_1(F, f2_s4_qc_lang3) =>  ( (D=k12_qc_lang1(f1_s4_qc_lang3) => k3_funct_2(k9_qc_lang1(f1_s4_qc_lang3), f2_s4_qc_lang3, C, D)=f3_s4_qc_lang3)  &  ( (v2_qc_lang1(D, f1_s4_qc_lang3) => k3_funct_2(k9_qc_lang1(f1_s4_qc_lang3), f2_s4_qc_lang3, C, D)=f6_s4_qc_lang3(D))  &  ( ( (v3_qc_lang1(D, f1_s4_qc_lang3) & E=k3_funct_2(k9_qc_lang1(f1_s4_qc_lang3), f2_s4_qc_lang3, C, k18_qc_lang1(f1_s4_qc_lang3, D)))  => k3_funct_2(k9_qc_lang1(f1_s4_qc_lang3), f2_s4_qc_lang3, C, D)=f7_s4_qc_lang3(E))  &  ( ( (v4_qc_lang1(D, f1_s4_qc_lang3) &  (E=k3_funct_2(k9_qc_lang1(f1_s4_qc_lang3), f2_s4_qc_lang3, C, k19_qc_lang1(f1_s4_qc_lang3, D)) & F=k3_funct_2(k9_qc_lang1(f1_s4_qc_lang3), f2_s4_qc_lang3, C, k20_qc_lang1(f1_s4_qc_lang3, D))) )  => k3_funct_2(k9_qc_lang1(f1_s4_qc_lang3), f2_s4_qc_lang3, C, D)=f8_s4_qc_lang3(E, F))  &  ( (v5_qc_lang1(D, f1_s4_qc_lang3) & E=k3_funct_2(k9_qc_lang1(f1_s4_qc_lang3), f2_s4_qc_lang3, C, k22_qc_lang1(f1_s4_qc_lang3, D)))  => k3_funct_2(k9_qc_lang1(f1_s4_qc_lang3), f2_s4_qc_lang3, C, D)=f9_s4_qc_lang3(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  & v2_qc_lang1(f5_s4_qc_lang3, f1_s4_qc_lang3))  => f4_s4_qc_lang3(f5_s4_qc_lang3)=f6_s4_qc_lang3(f5_s4_qc_lang3)) ).
fof(s5_qc_lang3, axiom,  ( ( (! [A] :  (m1_subset_1(A, k9_qc_lang1(f1_s5_qc_lang3)) =>  (! [B] :  (m1_subset_1(B, f2_s5_qc_lang3) =>  (B=f9_s5_qc_lang3(A) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k9_qc_lang1(f1_s5_qc_lang3), f2_s5_qc_lang3) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_qc_lang1(f1_s5_qc_lang3), f2_s5_qc_lang3)))) )  &  (B=k3_funct_2(k9_qc_lang1(f1_s5_qc_lang3), f2_s5_qc_lang3, C, A) &  (! [D] :  (m1_subset_1(D, k9_qc_lang1(f1_s5_qc_lang3)) =>  (! [E] :  (m1_subset_1(E, f2_s5_qc_lang3) =>  (! [F] :  (m1_subset_1(F, f2_s5_qc_lang3) =>  ( (D=k12_qc_lang1(f1_s5_qc_lang3) => k3_funct_2(k9_qc_lang1(f1_s5_qc_lang3), f2_s5_qc_lang3, C, D)=f3_s5_qc_lang3)  &  ( (v2_qc_lang1(D, f1_s5_qc_lang3) => k3_funct_2(k9_qc_lang1(f1_s5_qc_lang3), f2_s5_qc_lang3, C, D)=f5_s5_qc_lang3(D))  &  ( ( (v3_qc_lang1(D, f1_s5_qc_lang3) & E=k3_funct_2(k9_qc_lang1(f1_s5_qc_lang3), f2_s5_qc_lang3, C, k18_qc_lang1(f1_s5_qc_lang3, D)))  => k3_funct_2(k9_qc_lang1(f1_s5_qc_lang3), f2_s5_qc_lang3, C, D)=f6_s5_qc_lang3(E))  &  ( ( (v4_qc_lang1(D, f1_s5_qc_lang3) &  (E=k3_funct_2(k9_qc_lang1(f1_s5_qc_lang3), f2_s5_qc_lang3, C, k19_qc_lang1(f1_s5_qc_lang3, D)) & F=k3_funct_2(k9_qc_lang1(f1_s5_qc_lang3), f2_s5_qc_lang3, C, k20_qc_lang1(f1_s5_qc_lang3, D))) )  => k3_funct_2(k9_qc_lang1(f1_s5_qc_lang3), f2_s5_qc_lang3, C, D)=f7_s5_qc_lang3(E, F))  &  ( (v5_qc_lang1(D, f1_s5_qc_lang3) & E=k3_funct_2(k9_qc_lang1(f1_s5_qc_lang3), f2_s5_qc_lang3, C, k22_qc_lang1(f1_s5_qc_lang3, D)))  => k3_funct_2(k9_qc_lang1(f1_s5_qc_lang3), f2_s5_qc_lang3, C, D)=f8_s5_qc_lang3(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  & v3_qc_lang1(f4_s5_qc_lang3, f1_s5_qc_lang3))  => f9_s5_qc_lang3(f4_s5_qc_lang3)=f6_s5_qc_lang3(f9_s5_qc_lang3(k18_qc_lang1(f1_s5_qc_lang3, f4_s5_qc_lang3)))) ).
fof(s6_qc_lang3, axiom,  ( ( (! [A] :  (m1_subset_1(A, k9_qc_lang1(f1_s6_qc_lang3)) =>  (! [B] :  (m1_subset_1(B, f2_s6_qc_lang3) =>  (B=f8_s6_qc_lang3(A) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k9_qc_lang1(f1_s6_qc_lang3), f2_s6_qc_lang3) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_qc_lang1(f1_s6_qc_lang3), f2_s6_qc_lang3)))) )  &  (B=k3_funct_2(k9_qc_lang1(f1_s6_qc_lang3), f2_s6_qc_lang3, C, A) &  (! [D] :  (m1_subset_1(D, k9_qc_lang1(f1_s6_qc_lang3)) =>  (! [E] :  (m1_subset_1(E, f2_s6_qc_lang3) =>  (! [F] :  (m1_subset_1(F, f2_s6_qc_lang3) =>  ( (D=k12_qc_lang1(f1_s6_qc_lang3) => k3_funct_2(k9_qc_lang1(f1_s6_qc_lang3), f2_s6_qc_lang3, C, D)=f3_s6_qc_lang3)  &  ( (v2_qc_lang1(D, f1_s6_qc_lang3) => k3_funct_2(k9_qc_lang1(f1_s6_qc_lang3), f2_s6_qc_lang3, C, D)=f4_s6_qc_lang3(D))  &  ( ( (v3_qc_lang1(D, f1_s6_qc_lang3) & E=k3_funct_2(k9_qc_lang1(f1_s6_qc_lang3), f2_s6_qc_lang3, C, k18_qc_lang1(f1_s6_qc_lang3, D)))  => k3_funct_2(k9_qc_lang1(f1_s6_qc_lang3), f2_s6_qc_lang3, C, D)=f5_s6_qc_lang3(E))  &  ( ( (v4_qc_lang1(D, f1_s6_qc_lang3) &  (E=k3_funct_2(k9_qc_lang1(f1_s6_qc_lang3), f2_s6_qc_lang3, C, k19_qc_lang1(f1_s6_qc_lang3, D)) & F=k3_funct_2(k9_qc_lang1(f1_s6_qc_lang3), f2_s6_qc_lang3, C, k20_qc_lang1(f1_s6_qc_lang3, D))) )  => k3_funct_2(k9_qc_lang1(f1_s6_qc_lang3), f2_s6_qc_lang3, C, D)=f6_s6_qc_lang3(E, F))  &  ( (v5_qc_lang1(D, f1_s6_qc_lang3) & E=k3_funct_2(k9_qc_lang1(f1_s6_qc_lang3), f2_s6_qc_lang3, C, k22_qc_lang1(f1_s6_qc_lang3, D)))  => k3_funct_2(k9_qc_lang1(f1_s6_qc_lang3), f2_s6_qc_lang3, C, D)=f7_s6_qc_lang3(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  & v4_qc_lang1(f9_s6_qc_lang3, f1_s6_qc_lang3))  =>  (! [A] :  (m1_subset_1(A, f2_s6_qc_lang3) =>  (! [B] :  (m1_subset_1(B, f2_s6_qc_lang3) =>  ( (A=f8_s6_qc_lang3(k19_qc_lang1(f1_s6_qc_lang3, f9_s6_qc_lang3)) & B=f8_s6_qc_lang3(k20_qc_lang1(f1_s6_qc_lang3, f9_s6_qc_lang3)))  => f8_s6_qc_lang3(f9_s6_qc_lang3)=f6_s6_qc_lang3(A, B)) ) ) ) ) ) ).
fof(s7_qc_lang3, axiom,  ( ( (! [A] :  (m1_subset_1(A, k9_qc_lang1(f1_s7_qc_lang3)) =>  (! [B] :  (m1_subset_1(B, f2_s7_qc_lang3) =>  (B=f9_s7_qc_lang3(A) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k9_qc_lang1(f1_s7_qc_lang3), f2_s7_qc_lang3) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_qc_lang1(f1_s7_qc_lang3), f2_s7_qc_lang3)))) )  &  (B=k3_funct_2(k9_qc_lang1(f1_s7_qc_lang3), f2_s7_qc_lang3, C, A) &  (! [D] :  (m1_subset_1(D, k9_qc_lang1(f1_s7_qc_lang3)) =>  (! [E] :  (m1_subset_1(E, f2_s7_qc_lang3) =>  (! [F] :  (m1_subset_1(F, f2_s7_qc_lang3) =>  ( (D=k12_qc_lang1(f1_s7_qc_lang3) => k3_funct_2(k9_qc_lang1(f1_s7_qc_lang3), f2_s7_qc_lang3, C, D)=f3_s7_qc_lang3)  &  ( (v2_qc_lang1(D, f1_s7_qc_lang3) => k3_funct_2(k9_qc_lang1(f1_s7_qc_lang3), f2_s7_qc_lang3, C, D)=f5_s7_qc_lang3(D))  &  ( ( (v3_qc_lang1(D, f1_s7_qc_lang3) & E=k3_funct_2(k9_qc_lang1(f1_s7_qc_lang3), f2_s7_qc_lang3, C, k18_qc_lang1(f1_s7_qc_lang3, D)))  => k3_funct_2(k9_qc_lang1(f1_s7_qc_lang3), f2_s7_qc_lang3, C, D)=f6_s7_qc_lang3(E))  &  ( ( (v4_qc_lang1(D, f1_s7_qc_lang3) &  (E=k3_funct_2(k9_qc_lang1(f1_s7_qc_lang3), f2_s7_qc_lang3, C, k19_qc_lang1(f1_s7_qc_lang3, D)) & F=k3_funct_2(k9_qc_lang1(f1_s7_qc_lang3), f2_s7_qc_lang3, C, k20_qc_lang1(f1_s7_qc_lang3, D))) )  => k3_funct_2(k9_qc_lang1(f1_s7_qc_lang3), f2_s7_qc_lang3, C, D)=f7_s7_qc_lang3(E, F))  &  ( (v5_qc_lang1(D, f1_s7_qc_lang3) & E=k3_funct_2(k9_qc_lang1(f1_s7_qc_lang3), f2_s7_qc_lang3, C, k22_qc_lang1(f1_s7_qc_lang3, D)))  => k3_funct_2(k9_qc_lang1(f1_s7_qc_lang3), f2_s7_qc_lang3, C, D)=f8_s7_qc_lang3(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  & v5_qc_lang1(f4_s7_qc_lang3, f1_s7_qc_lang3))  => f9_s7_qc_lang3(f4_s7_qc_lang3)=f8_s7_qc_lang3(f4_s7_qc_lang3, f9_s7_qc_lang3(k22_qc_lang1(f1_s7_qc_lang3, f4_s7_qc_lang3)))) ).
fof(dt_f1_s1_qc_lang3, axiom, m1_qc_lang1(f1_s1_qc_lang3)).
fof(dt_f2_s1_qc_lang3, axiom,  ~ (v1_xboole_0(f2_s1_qc_lang3)) ).
fof(dt_f3_s1_qc_lang3, axiom,  (v1_funct_1(f3_s1_qc_lang3) &  (v1_funct_2(f3_s1_qc_lang3, k9_qc_lang1(f1_s1_qc_lang3), f2_s1_qc_lang3) & m1_subset_1(f3_s1_qc_lang3, k1_zfmisc_1(k2_zfmisc_1(k9_qc_lang1(f1_s1_qc_lang3), f2_s1_qc_lang3)))) ) ).
fof(dt_f4_s1_qc_lang3, axiom,  (v1_funct_1(f4_s1_qc_lang3) &  (v1_funct_2(f4_s1_qc_lang3, k9_qc_lang1(f1_s1_qc_lang3), f2_s1_qc_lang3) & m1_subset_1(f4_s1_qc_lang3, k1_zfmisc_1(k2_zfmisc_1(k9_qc_lang1(f1_s1_qc_lang3), f2_s1_qc_lang3)))) ) ).
fof(dt_f5_s1_qc_lang3, axiom, m1_subset_1(f5_s1_qc_lang3, f2_s1_qc_lang3)).
fof(dt_f6_s1_qc_lang3, axiom,  (! [A] : m1_subset_1(f6_s1_qc_lang3(A), f2_s1_qc_lang3)) ).
fof(dt_f7_s1_qc_lang3, axiom,  (! [A] : m1_subset_1(f7_s1_qc_lang3(A), f2_s1_qc_lang3)) ).
fof(dt_f8_s1_qc_lang3, axiom,  (! [A, B] : m1_subset_1(f8_s1_qc_lang3(A, B), f2_s1_qc_lang3)) ).
fof(dt_f9_s1_qc_lang3, axiom,  (! [A, B] : m1_subset_1(f9_s1_qc_lang3(A, B), f2_s1_qc_lang3)) ).
fof(dt_f1_s2_qc_lang3, axiom, m1_qc_lang1(f1_s2_qc_lang3)).
fof(dt_f2_s2_qc_lang3, axiom,  ~ (v1_xboole_0(f2_s2_qc_lang3)) ).
fof(dt_f3_s2_qc_lang3, axiom, m1_subset_1(f3_s2_qc_lang3, f2_s2_qc_lang3)).
fof(dt_f4_s2_qc_lang3, axiom, m1_subset_1(f4_s2_qc_lang3, k9_qc_lang1(f1_s2_qc_lang3))).
fof(dt_f5_s2_qc_lang3, axiom,  (! [A] : m1_subset_1(f5_s2_qc_lang3(A), f2_s2_qc_lang3)) ).
fof(dt_f6_s2_qc_lang3, axiom,  (! [A] : m1_subset_1(f6_s2_qc_lang3(A), f2_s2_qc_lang3)) ).
fof(dt_f7_s2_qc_lang3, axiom,  (! [A, B] : m1_subset_1(f7_s2_qc_lang3(A, B), f2_s2_qc_lang3)) ).
fof(dt_f8_s2_qc_lang3, axiom,  (! [A, B] : m1_subset_1(f8_s2_qc_lang3(A, B), f2_s2_qc_lang3)) ).
fof(dt_f1_s3_qc_lang3, axiom, m1_qc_lang1(f1_s3_qc_lang3)).
fof(dt_f2_s3_qc_lang3, axiom,  ~ (v1_xboole_0(f2_s3_qc_lang3)) ).
fof(dt_f3_s3_qc_lang3, axiom,  (! [A] : m1_subset_1(f3_s3_qc_lang3(A), f2_s3_qc_lang3)) ).
fof(dt_f4_s3_qc_lang3, axiom, m1_subset_1(f4_s3_qc_lang3, f2_s3_qc_lang3)).
fof(dt_f5_s3_qc_lang3, axiom,  (! [A] : m1_subset_1(f5_s3_qc_lang3(A), f2_s3_qc_lang3)) ).
fof(dt_f6_s3_qc_lang3, axiom,  (! [A] : m1_subset_1(f6_s3_qc_lang3(A), f2_s3_qc_lang3)) ).
fof(dt_f7_s3_qc_lang3, axiom,  (! [A, B] : m1_subset_1(f7_s3_qc_lang3(A, B), f2_s3_qc_lang3)) ).
fof(dt_f8_s3_qc_lang3, axiom,  (! [A, B] : m1_subset_1(f8_s3_qc_lang3(A, B), f2_s3_qc_lang3)) ).
fof(dt_f1_s4_qc_lang3, axiom, m1_qc_lang1(f1_s4_qc_lang3)).
fof(dt_f2_s4_qc_lang3, axiom,  ~ (v1_xboole_0(f2_s4_qc_lang3)) ).
fof(dt_f3_s4_qc_lang3, axiom, m1_subset_1(f3_s4_qc_lang3, f2_s4_qc_lang3)).
fof(dt_f4_s4_qc_lang3, axiom,  (! [A] : m1_subset_1(f4_s4_qc_lang3(A), f2_s4_qc_lang3)) ).
fof(dt_f5_s4_qc_lang3, axiom, m1_subset_1(f5_s4_qc_lang3, k9_qc_lang1(f1_s4_qc_lang3))).
fof(dt_f6_s4_qc_lang3, axiom,  (! [A] : m1_subset_1(f6_s4_qc_lang3(A), f2_s4_qc_lang3)) ).
fof(dt_f7_s4_qc_lang3, axiom,  (! [A] : m1_subset_1(f7_s4_qc_lang3(A), f2_s4_qc_lang3)) ).
fof(dt_f8_s4_qc_lang3, axiom,  (! [A, B] : m1_subset_1(f8_s4_qc_lang3(A, B), f2_s4_qc_lang3)) ).
fof(dt_f9_s4_qc_lang3, axiom,  (! [A, B] : m1_subset_1(f9_s4_qc_lang3(A, B), f2_s4_qc_lang3)) ).
fof(dt_f1_s5_qc_lang3, axiom, m1_qc_lang1(f1_s5_qc_lang3)).
fof(dt_f2_s5_qc_lang3, axiom,  ~ (v1_xboole_0(f2_s5_qc_lang3)) ).
fof(dt_f3_s5_qc_lang3, axiom, m1_subset_1(f3_s5_qc_lang3, f2_s5_qc_lang3)).
fof(dt_f4_s5_qc_lang3, axiom, m1_subset_1(f4_s5_qc_lang3, k9_qc_lang1(f1_s5_qc_lang3))).
fof(dt_f5_s5_qc_lang3, axiom,  (! [A] : m1_subset_1(f5_s5_qc_lang3(A), f2_s5_qc_lang3)) ).
fof(dt_f6_s5_qc_lang3, axiom,  (! [A] : m1_subset_1(f6_s5_qc_lang3(A), f2_s5_qc_lang3)) ).
fof(dt_f7_s5_qc_lang3, axiom,  (! [A, B] : m1_subset_1(f7_s5_qc_lang3(A, B), f2_s5_qc_lang3)) ).
fof(dt_f8_s5_qc_lang3, axiom,  (! [A, B] : m1_subset_1(f8_s5_qc_lang3(A, B), f2_s5_qc_lang3)) ).
fof(dt_f9_s5_qc_lang3, axiom,  (! [A] : m1_subset_1(f9_s5_qc_lang3(A), f2_s5_qc_lang3)) ).
fof(dt_f1_s6_qc_lang3, axiom, m1_qc_lang1(f1_s6_qc_lang3)).
fof(dt_f2_s6_qc_lang3, axiom,  ~ (v1_xboole_0(f2_s6_qc_lang3)) ).
fof(dt_f3_s6_qc_lang3, axiom, m1_subset_1(f3_s6_qc_lang3, f2_s6_qc_lang3)).
fof(dt_f4_s6_qc_lang3, axiom,  (! [A] : m1_subset_1(f4_s6_qc_lang3(A), f2_s6_qc_lang3)) ).
fof(dt_f5_s6_qc_lang3, axiom,  (! [A] : m1_subset_1(f5_s6_qc_lang3(A), f2_s6_qc_lang3)) ).
fof(dt_f6_s6_qc_lang3, axiom,  (! [A, B] : m1_subset_1(f6_s6_qc_lang3(A, B), f2_s6_qc_lang3)) ).
fof(dt_f7_s6_qc_lang3, axiom,  (! [A, B] : m1_subset_1(f7_s6_qc_lang3(A, B), f2_s6_qc_lang3)) ).
fof(dt_f8_s6_qc_lang3, axiom,  (! [A] : m1_subset_1(f8_s6_qc_lang3(A), f2_s6_qc_lang3)) ).
fof(dt_f9_s6_qc_lang3, axiom, m1_subset_1(f9_s6_qc_lang3, k9_qc_lang1(f1_s6_qc_lang3))).
fof(dt_f1_s7_qc_lang3, axiom, m1_qc_lang1(f1_s7_qc_lang3)).
fof(dt_f2_s7_qc_lang3, axiom,  ~ (v1_xboole_0(f2_s7_qc_lang3)) ).
fof(dt_f3_s7_qc_lang3, axiom, m1_subset_1(f3_s7_qc_lang3, f2_s7_qc_lang3)).
fof(dt_f4_s7_qc_lang3, axiom, m1_subset_1(f4_s7_qc_lang3, k9_qc_lang1(f1_s7_qc_lang3))).
fof(dt_f5_s7_qc_lang3, axiom,  (! [A] : m1_subset_1(f5_s7_qc_lang3(A), f2_s7_qc_lang3)) ).
fof(dt_f6_s7_qc_lang3, axiom,  (! [A] : m1_subset_1(f6_s7_qc_lang3(A), f2_s7_qc_lang3)) ).
fof(dt_f7_s7_qc_lang3, axiom,  (! [A, B] : m1_subset_1(f7_s7_qc_lang3(A, B), f2_s7_qc_lang3)) ).
fof(dt_f8_s7_qc_lang3, axiom,  (! [A, B] : m1_subset_1(f8_s7_qc_lang3(A, B), f2_s7_qc_lang3)) ).
fof(dt_f9_s7_qc_lang3, axiom,  (! [A] : m1_subset_1(f9_s7_qc_lang3(A), f2_s7_qc_lang3)) ).
fof(dt_k1_qc_lang3, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_finseq_1(B, k2_qc_lang1(A)) &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k2_qc_lang1(A)))) ) )  => m1_subset_1(k1_qc_lang3(A, B, C), k1_zfmisc_1(C))) ) ).
fof(dt_k2_qc_lang3, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k1_qc_lang1(A)))  => m2_subset_1(k2_qc_lang3(A, B), k2_qc_lang1(A), k3_qc_lang1(A))) ) ).
fof(dt_k3_qc_lang3, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & v7_ordinal1(B))  => m2_subset_1(k3_qc_lang3(A, B), k2_qc_lang1(A), k5_qc_lang1(A))) ) ).
fof(dt_k4_qc_lang3, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k2_qc_lang1(A))))  & m1_subset_1(C, k9_qc_lang1(A))) )  => m1_subset_1(k4_qc_lang3(A, B, C), k1_zfmisc_1(B))) ) ).
fof(dt_k5_qc_lang3, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k9_qc_lang1(A)))  => m1_subset_1(k5_qc_lang3(A, B), k1_zfmisc_1(k5_qc_lang1(A)))) ) ).
fof(dt_k6_qc_lang3, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k9_qc_lang1(A)))  => m1_subset_1(k6_qc_lang3(A, B), k1_zfmisc_1(k4_qc_lang1(A)))) ) ).
fof(d1_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k2_qc_lang1(A)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k2_qc_lang1(A))))  => k1_qc_lang3(A, B, C)=a_3_0_qc_lang3(A, B, C)) ) ) ) ) ) ).
fof(t36_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k2_qc_lang1(A))))  =>  (v2_qc_lang1(B, A) =>  (k4_qc_lang3(A, C, B)=k1_qc_lang3(A, k17_qc_lang1(A, B), C) & k4_qc_lang3(A, C, B)=a_3_1_qc_lang3(A, B, C)) ) ) ) ) ) ) ) ).
fof(t37_qc_lang3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_qc_lang1(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k2_qc_lang1(B))))  =>  (! [D] :  (m2_subset_1(D, k6_qc_lang1(B), k8_qc_lang1(B, A)) =>  (! [E] :  ( (v3_card_1(E, A) & m2_finseq_1(E, k2_qc_lang1(B)))  =>  (k4_qc_lang3(B, C, k10_qc_lang1(B, D, E))=k1_qc_lang3(B, E, C) & k4_qc_lang3(B, C, k10_qc_lang1(B, D, E))=a_4_0_qc_lang3(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_qc_lang3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_qc_lang1(B) =>  (! [C] :  (m2_subset_1(C, k6_qc_lang1(B), k8_qc_lang1(B, A)) =>  (! [D] :  ( (v3_card_1(D, A) & m2_finseq_1(D, k2_qc_lang1(B)))  => k5_qc_lang3(B, k10_qc_lang1(B, C, D))=a_3_2_qc_lang3(A, B, D)) ) ) ) ) ) ) ) ).
fof(t64_qc_lang3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_qc_lang1(B) =>  (! [C] :  (m2_subset_1(C, k6_qc_lang1(B), k8_qc_lang1(B, A)) =>  (! [D] :  ( (v3_card_1(D, A) & m2_finseq_1(D, k2_qc_lang1(B)))  => k6_qc_lang3(B, k10_qc_lang1(B, C, D))=a_3_3_qc_lang3(A, B, D)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_qc_lang3, axiom,  (! [A, B, C, D] :  ( (m1_qc_lang1(B) &  (m2_finseq_1(C, k2_qc_lang1(B)) &  ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k2_qc_lang1(B)))) ) )  =>  (r2_hidden(A, a_3_0_qc_lang3(B, C, D)) <=>  (? [E] :  (v7_ordinal1(E) &  (A=k1_funct_1(C, E) &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, k3_finseq_1(C)) & r2_tarski(k1_funct_1(C, E), D)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_qc_lang3, axiom,  (! [A, B, C, D] :  ( (m1_qc_lang1(B) &  (m1_subset_1(C, k9_qc_lang1(B)) &  ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k2_qc_lang1(B)))) ) )  =>  (r2_hidden(A, a_3_1_qc_lang3(B, C, D)) <=>  (? [E] :  (v7_ordinal1(E) &  (A=k1_funct_1(k17_qc_lang1(B, C), E) &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, k3_finseq_1(k17_qc_lang1(B, C))) & r2_tarski(k1_funct_1(k17_qc_lang1(B, C), E), D)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_qc_lang3, axiom,  (! [A, B, C, D, E] :  ( (v7_ordinal1(B) &  (m1_qc_lang1(C) &  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k2_qc_lang1(C))))  &  (v3_card_1(E, B) & m2_finseq_1(E, k2_qc_lang1(C))) ) ) )  =>  (r2_hidden(A, a_4_0_qc_lang3(B, C, D, E)) <=>  (? [F] :  (v7_ordinal1(F) &  (A=k1_funct_1(E, F) &  (r1_xxreal_0(1, F) &  (r1_xxreal_0(F, k3_finseq_1(E)) & r2_tarski(k1_funct_1(E, F), D)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_2_qc_lang3, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(B) &  (m1_qc_lang1(C) &  (v3_card_1(D, B) & m2_finseq_1(D, k2_qc_lang1(C))) ) )  =>  (r2_hidden(A, a_3_2_qc_lang3(B, C, D)) <=>  (? [E] :  (v7_ordinal1(E) &  (A=k1_funct_1(D, E) &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, k3_finseq_1(D)) & r2_tarski(k1_funct_1(D, E), k5_qc_lang1(C))) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_3_qc_lang3, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(B) &  (m1_qc_lang1(C) &  (v3_card_1(D, B) & m2_finseq_1(D, k2_qc_lang1(C))) ) )  =>  (r2_hidden(A, a_3_3_qc_lang3(B, C, D)) <=>  (? [E] :  (v7_ordinal1(E) &  (A=k1_funct_1(D, E) &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, k3_finseq_1(D)) & r2_tarski(k1_funct_1(D, E), k4_qc_lang1(C))) ) ) ) ) ) ) ) ).
fof(t1_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (r2_qc_lang2(A, B, C) => r1_xxreal_0(k3_finseq_1(k11_qc_lang1(A, B)), k3_finseq_1(k11_qc_lang1(A, C)))) ) ) ) ) ) ) ).
fof(t2_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  ( (r2_qc_lang2(A, B, C) & k3_finseq_1(k11_qc_lang1(A, B))=k3_finseq_1(k11_qc_lang1(A, C)))  => B=C) ) ) ) ) ) ) ).
fof(d1_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  ( ( (B=k12_qc_lang1(A) | v2_qc_lang1(B, A))  => k1_qc_lang4(A, B)=k6_finseq_1(k9_qc_lang1(A)))  &  ( (v3_qc_lang1(B, A) => k1_qc_lang4(A, B)=k12_finseq_1(k9_qc_lang1(A), k18_qc_lang1(A, B)))  &  ( (v4_qc_lang1(B, A) => k1_qc_lang4(A, B)=k2_finseq_4(k9_qc_lang1(A), k19_qc_lang1(A, B), k20_qc_lang1(A, B)))  &  ~ ( ( ~ (B=k12_qc_lang1(A))  &  ( ~ (v2_qc_lang1(B, A))  &  ( ~ (v3_qc_lang1(B, A))  &  ( ~ (v4_qc_lang1(B, A))  &  ~ (k1_qc_lang4(A, B)=k12_finseq_1(k9_qc_lang1(A), k22_qc_lang1(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m1_subset_1(D, k9_qc_lang1(A)) =>  ( (r2_tarski(B, k4_finseq_1(k1_qc_lang4(A, C))) & D=k1_funct_1(k1_qc_lang4(A, C), B))  => r1_qc_lang2(A, D, C)) ) ) ) ) ) ) ) ) ).
fof(d2_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k9_qc_lang1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) & v3_trees_2(C)) ) ) )  =>  (C=k2_qc_lang4(A, B) <=>  (k1_funct_1(C, k1_xboole_0)=B &  (! [D] :  (m1_trees_1(D, k9_xtuple_0(C)) => k2_trees_9(C, D)=k1_qc_lang4(A, k3_trees_2(k9_qc_lang1(A), C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t5_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) => r2_tarski(B, k10_xtuple_0(k2_qc_lang4(A, B)))) ) ) ) ).
fof(t6_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m1_trees_1(D, k9_xtuple_0(k2_qc_lang4(A, C))) =>  ~ ( (r2_tarski(k7_finseq_1(D, k9_finseq_1(B)), k9_xtuple_0(k2_qc_lang4(A, C))) &  (! [E] :  (m1_subset_1(E, k9_qc_lang1(A)) =>  ~ ( (E=k1_funct_1(k2_qc_lang4(A, C), k7_finseq_1(D, k9_finseq_1(B))) & r1_qc_lang2(A, E, k3_trees_2(k9_qc_lang1(A), k2_qc_lang4(A, C), D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m1_trees_1(D, k9_xtuple_0(k2_qc_lang4(A, B))) =>  (r1_qc_lang2(A, C, k3_trees_2(k9_qc_lang1(A), k2_qc_lang4(A, B), D)) <=>  (? [E] :  (v7_ordinal1(E) &  (r2_tarski(k7_finseq_1(D, k9_finseq_1(E)), k9_xtuple_0(k2_qc_lang4(A, B))) & C=k1_funct_1(k2_qc_lang4(A, B), k7_finseq_1(D, k9_finseq_1(E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m1_subset_1(D, k9_qc_lang1(A)) =>  ( (r2_tarski(C, k10_xtuple_0(k2_qc_lang4(A, B))) & r1_qc_lang2(A, D, C))  => r2_tarski(D, k10_xtuple_0(k2_qc_lang4(A, B)))) ) ) ) ) ) ) ) ) ).
fof(t9_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m1_subset_1(D, k9_qc_lang1(A)) =>  ( (r2_tarski(C, k10_xtuple_0(k2_qc_lang4(A, B))) & r2_qc_lang2(A, D, C))  => r2_tarski(D, k10_xtuple_0(k2_qc_lang4(A, B)))) ) ) ) ) ) ) ) ) ).
fof(t10_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (r2_tarski(C, k10_xtuple_0(k2_qc_lang4(A, B))) <=> r2_qc_lang2(A, C, B)) ) ) ) ) ) ) ).
fof(t11_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) => k10_xtuple_0(k2_qc_lang4(A, B))=k15_qc_lang2(A, B)) ) ) ) ).
fof(t12_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_trees_1(C, k9_xtuple_0(k2_qc_lang4(A, B))) =>  (! [D] :  (m1_trees_1(D, k9_xtuple_0(k2_qc_lang4(A, B))) =>  (r2_tarski(D, k1_trees_2(k9_xtuple_0(k2_qc_lang4(A, B)), C)) => r1_qc_lang2(A, k3_trees_2(k9_qc_lang1(A), k2_qc_lang4(A, B), D), k3_trees_2(k9_qc_lang1(A), k2_qc_lang4(A, B), C))) ) ) ) ) ) ) ) ) ).
fof(t13_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_trees_1(C, k9_xtuple_0(k2_qc_lang4(A, B))) =>  (! [D] :  (m1_trees_1(D, k9_xtuple_0(k2_qc_lang4(A, B))) =>  (r1_tarski(C, D) => r2_qc_lang2(A, k3_trees_2(k9_qc_lang1(A), k2_qc_lang4(A, B), D), k3_trees_2(k9_qc_lang1(A), k2_qc_lang4(A, B), C))) ) ) ) ) ) ) ) ) ).
fof(t14_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_trees_1(C, k9_xtuple_0(k2_qc_lang4(A, B))) =>  (! [D] :  (m1_trees_1(D, k9_xtuple_0(k2_qc_lang4(A, B))) =>  ~ ( (r2_xboole_0(C, D) & r1_xxreal_0(k3_finseq_1(k11_qc_lang1(A, k3_trees_2(k9_qc_lang1(A), k2_qc_lang4(A, B), C))), k3_finseq_1(k11_qc_lang1(A, k3_trees_2(k9_qc_lang1(A), k2_qc_lang4(A, B), D))))) ) ) ) ) ) ) ) ) ) ).
fof(t15_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_trees_1(C, k9_xtuple_0(k2_qc_lang4(A, B))) =>  (! [D] :  (m1_trees_1(D, k9_xtuple_0(k2_qc_lang4(A, B))) =>  ~ ( (r2_xboole_0(C, D) & k3_trees_2(k9_qc_lang1(A), k2_qc_lang4(A, B), D)=k3_trees_2(k9_qc_lang1(A), k2_qc_lang4(A, B), C)) ) ) ) ) ) ) ) ) ) ).
fof(t16_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_trees_1(C, k9_xtuple_0(k2_qc_lang4(A, B))) =>  (! [D] :  (m1_trees_1(D, k9_xtuple_0(k2_qc_lang4(A, B))) =>  (r2_xboole_0(C, D) => r3_qc_lang2(A, k3_trees_2(k9_qc_lang1(A), k2_qc_lang4(A, B), D), k3_trees_2(k9_qc_lang1(A), k2_qc_lang4(A, B), C))) ) ) ) ) ) ) ) ) ).
fof(t17_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_trees_1(C, k9_xtuple_0(k2_qc_lang4(A, B))) =>  (k3_trees_2(k9_qc_lang1(A), k2_qc_lang4(A, B), C)=B <=> C=k1_xboole_0) ) ) ) ) ) ) ).
fof(t18_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_trees_1(C, k9_xtuple_0(k2_qc_lang4(A, B))) =>  (! [D] :  (m1_trees_1(D, k9_xtuple_0(k2_qc_lang4(A, B))) =>  ~ ( ( ~ (C=D)  &  (k3_trees_2(k9_qc_lang1(A), k2_qc_lang4(A, B), C)=k3_trees_2(k9_qc_lang1(A), k2_qc_lang4(A, B), D) & r3_xboole_0(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m4_trees_1(D, k9_xtuple_0(k2_qc_lang4(A, B))) =>  (D=k3_qc_lang4(A, B, C) <=>  (! [E] :  (m1_trees_1(E, k9_xtuple_0(k2_qc_lang4(A, B))) =>  (r2_tarski(E, D) <=> k3_trees_2(k9_qc_lang1(A), k2_qc_lang4(A, B), E)=C) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (r2_qc_lang2(A, C, B) <=>  ~ (k3_qc_lang4(A, B, C)=k1_xboole_0) ) ) ) ) ) ) ) ).
fof(t21_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m1_trees_1(D, k9_xtuple_0(k2_qc_lang4(A, C))) =>  (! [E] :  (m1_trees_1(E, k9_xtuple_0(k2_qc_lang4(A, C))) =>  ( (E=k7_finseq_1(D, k9_finseq_1(B)) & v3_qc_lang1(k3_trees_2(k9_qc_lang1(A), k2_qc_lang4(A, C), D), A))  =>  (k3_trees_2(k9_qc_lang1(A), k2_qc_lang4(A, C), E)=k18_qc_lang1(A, k3_trees_2(k9_qc_lang1(A), k2_qc_lang4(A, C), D)) & B=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m1_trees_1(D, k9_xtuple_0(k2_qc_lang4(A, C))) =>  (! [E] :  (m1_trees_1(E, k9_xtuple_0(k2_qc_lang4(A, C))) =>  ~ ( (E=k7_finseq_1(D, k9_finseq_1(B)) &  (v4_qc_lang1(k3_trees_2(k9_qc_lang1(A), k2_qc_lang4(A, C), D), A) &  ( ~ ( (k3_trees_2(k9_qc_lang1(A), k2_qc_lang4(A, C), E)=k19_qc_lang1(A, k3_trees_2(k9_qc_lang1(A), k2_qc_lang4(A, C), D)) & B=k5_numbers) )  &  ~ ( (k3_trees_2(k9_qc_lang1(A), k2_qc_lang4(A, C), E)=k20_qc_lang1(A, k3_trees_2(k9_qc_lang1(A), k2_qc_lang4(A, C), D)) & B=1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m1_trees_1(D, k9_xtuple_0(k2_qc_lang4(A, C))) =>  (! [E] :  (m1_trees_1(E, k9_xtuple_0(k2_qc_lang4(A, C))) =>  ( (E=k7_finseq_1(D, k9_finseq_1(B)) & v5_qc_lang1(k3_trees_2(k9_qc_lang1(A), k2_qc_lang4(A, C), D), A))  =>  (k3_trees_2(k9_qc_lang1(A), k2_qc_lang4(A, C), E)=k22_qc_lang1(A, k3_trees_2(k9_qc_lang1(A), k2_qc_lang4(A, C), D)) & B=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_trees_1(C, k9_xtuple_0(k2_qc_lang4(A, B))) =>  (v3_qc_lang1(k3_trees_2(k9_qc_lang1(A), k2_qc_lang4(A, B), C), A) =>  (r2_tarski(k8_finseq_1(k4_ordinal1, C, k12_finseq_1(k4_ordinal1, k5_numbers)), k9_xtuple_0(k2_qc_lang4(A, B))) & k1_funct_1(k2_qc_lang4(A, B), k8_finseq_1(k4_ordinal1, C, k12_finseq_1(k4_ordinal1, k5_numbers)))=k18_qc_lang1(A, k3_trees_2(k9_qc_lang1(A), k2_qc_lang4(A, B), C))) ) ) ) ) ) ) ) ).
fof(t25_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_trees_1(C, k9_xtuple_0(k2_qc_lang4(A, B))) =>  (v4_qc_lang1(k3_trees_2(k9_qc_lang1(A), k2_qc_lang4(A, B), C), A) =>  (r2_tarski(k8_finseq_1(k4_ordinal1, C, k12_finseq_1(k4_ordinal1, k5_numbers)), k9_xtuple_0(k2_qc_lang4(A, B))) &  (k1_funct_1(k2_qc_lang4(A, B), k8_finseq_1(k4_ordinal1, C, k12_finseq_1(k4_ordinal1, k5_numbers)))=k19_qc_lang1(A, k3_trees_2(k9_qc_lang1(A), k2_qc_lang4(A, B), C)) &  (r2_tarski(k8_finseq_1(k4_ordinal1, C, k12_finseq_1(k4_ordinal1, 1)), k9_xtuple_0(k2_qc_lang4(A, B))) & k1_funct_1(k2_qc_lang4(A, B), k8_finseq_1(k4_ordinal1, C, k12_finseq_1(k4_ordinal1, 1)))=k20_qc_lang1(A, k3_trees_2(k9_qc_lang1(A), k2_qc_lang4(A, B), C))) ) ) ) ) ) ) ) ) ) ).
fof(t26_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_trees_1(C, k9_xtuple_0(k2_qc_lang4(A, B))) =>  (v5_qc_lang1(k3_trees_2(k9_qc_lang1(A), k2_qc_lang4(A, B), C), A) =>  (r2_tarski(k8_finseq_1(k4_ordinal1, C, k12_finseq_1(k4_ordinal1, k5_numbers)), k9_xtuple_0(k2_qc_lang4(A, B))) & k1_funct_1(k2_qc_lang4(A, B), k8_finseq_1(k4_ordinal1, C, k12_finseq_1(k4_ordinal1, k5_numbers)))=k22_qc_lang1(A, k3_trees_2(k9_qc_lang1(A), k2_qc_lang4(A, B), C))) ) ) ) ) ) ) ) ).
fof(t27_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m1_subset_1(D, k9_qc_lang1(A)) =>  (! [E] :  (m1_trees_1(E, k9_xtuple_0(k2_qc_lang4(A, B))) =>  (! [F] :  (m1_trees_1(F, k9_xtuple_0(k2_qc_lang4(A, C))) =>  ( (r2_tarski(E, k3_qc_lang4(A, B, C)) & r2_tarski(F, k3_qc_lang4(A, C, D)))  => r2_tarski(k8_finseq_1(k4_ordinal1, E, F), k3_qc_lang4(A, B, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m1_subset_1(D, k9_qc_lang1(A)) =>  (! [E] :  (m1_trees_1(E, k9_xtuple_0(k2_qc_lang4(A, B))) =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) )  =>  ( (r2_tarski(E, k3_qc_lang4(A, B, C)) & r2_tarski(k7_finseq_1(E, F), k3_qc_lang4(A, B, D)))  => r2_tarski(F, k3_qc_lang4(A, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_trees_1(C, k9_xtuple_0(k2_qc_lang4(A, B))) => k5_trees_2(k2_qc_lang4(A, B), C)=k2_qc_lang4(A, k3_trees_2(k9_qc_lang1(A), k2_qc_lang4(A, B), C))) ) ) ) ) ) ).
fof(t31_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m1_trees_1(D, k9_xtuple_0(k2_qc_lang4(A, B))) =>  (r2_tarski(D, k3_qc_lang4(A, B, C)) <=> k5_trees_2(k2_qc_lang4(A, B), D)=k2_qc_lang4(A, C)) ) ) ) ) ) ) ) ) ).
fof(d4_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (m1_qc_lang4(C, A, B) <=> r2_qc_lang2(A, C, B)) ) ) ) ) ) ) ).
fof(d5_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_qc_lang4(C, A, B) =>  (! [D] :  (m1_trees_1(D, k9_xtuple_0(k2_qc_lang4(A, B))) =>  (m2_qc_lang4(D, A, B, C) <=> k3_trees_2(k9_qc_lang1(A), k2_qc_lang4(A, B), D)=C) ) ) ) ) ) ) ) ) ).
fof(t34_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_qc_lang4(C, A, B) =>  (! [D] :  (m2_qc_lang4(D, A, B, C) =>  (! [E] :  (m2_qc_lang4(E, A, B, C) =>  ~ ( ( ~ (D=E)  & r3_xboole_0(D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_qc_lang4(C, A, B) => k4_qc_lang4(A, B, C)=k3_qc_lang4(A, B, C)) ) ) ) ) ) ).
fof(t35_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_qc_lang4(C, A, B) =>  (! [D] :  (m2_qc_lang4(D, A, B, C) => r2_tarski(D, k4_qc_lang4(A, B, C))) ) ) ) ) ) ) ) ).
fof(t37_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_qc_lang4(C, A, B) =>  (! [D] :  (m1_qc_lang4(D, A, B) =>  (! [E] :  (m2_qc_lang4(E, A, B, C) =>  (! [F] :  (m1_trees_1(F, k9_xtuple_0(k2_qc_lang4(A, C))) =>  (r2_tarski(F, k3_qc_lang4(A, C, D)) => m2_qc_lang4(k8_finseq_1(k4_ordinal1, E, F), A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_qc_lang4(C, A, B) =>  (! [D] :  (m1_qc_lang4(D, A, B) =>  (! [E] :  (m2_qc_lang4(E, A, B, C) =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) )  =>  (m2_qc_lang4(k7_finseq_1(E, F), A, B, D) => r2_tarski(F, k3_qc_lang4(A, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_qc_lang4(C, A, B) =>  (! [D] :  (m1_qc_lang4(D, A, B) =>  ( (? [E] :  (m2_qc_lang4(E, A, B, C) &  (? [F] :  (m2_qc_lang4(F, A, B, D) & r1_tarski(E, F)) ) ) )  => r2_qc_lang2(A, D, C)) ) ) ) ) ) ) ) ) ).
fof(t42_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_qc_lang4(C, A, B) =>  (! [D] :  (m1_qc_lang4(D, A, B) =>  (r2_qc_lang2(A, D, C) =>  (! [E] :  (m2_qc_lang4(E, A, B, C) =>  (? [F] :  (m2_qc_lang4(F, A, B, D) & r1_tarski(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_qc_lang4, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k9_qc_lang1(A)))  => m2_finseq_1(k1_qc_lang4(A, B), k9_qc_lang1(A))) ) ).
fof(dt_k2_qc_lang4, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k9_qc_lang1(A)))  =>  (v1_relat_1(k2_qc_lang4(A, B)) &  (v5_relat_1(k2_qc_lang4(A, B), k9_qc_lang1(A)) &  (v1_funct_1(k2_qc_lang4(A, B)) &  (v1_finset_1(k2_qc_lang4(A, B)) & v3_trees_2(k2_qc_lang4(A, B))) ) ) ) ) ) ).
fof(dt_k3_qc_lang4, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k9_qc_lang1(A)) & m1_subset_1(C, k9_qc_lang1(A))) )  => m4_trees_1(k3_qc_lang4(A, B, C), k9_xtuple_0(k2_qc_lang4(A, B)))) ) ).
fof(dt_m1_qc_lang4, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k9_qc_lang1(A)))  =>  (! [C] :  (m1_qc_lang4(C, A, B) => m1_subset_1(C, k9_qc_lang1(A))) ) ) ) ).
fof(existence_m1_qc_lang4, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k9_qc_lang1(A)))  =>  (? [C] : m1_qc_lang4(C, A, B)) ) ) ).
fof(dt_m2_qc_lang4, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k9_qc_lang1(A)) & m1_qc_lang4(C, A, B)) )  =>  (! [D] :  (m2_qc_lang4(D, A, B, C) => m1_trees_1(D, k9_xtuple_0(k2_qc_lang4(A, B)))) ) ) ) ).
fof(existence_m2_qc_lang4, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k9_qc_lang1(A)) & m1_qc_lang4(C, A, B)) )  =>  (? [D] : m2_qc_lang4(D, A, B, C)) ) ) ).
fof(dt_k4_qc_lang4, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k9_qc_lang1(A)) & m1_qc_lang4(C, A, B)) )  =>  ( ~ (v1_xboole_0(k4_qc_lang4(A, B, C)))  & m4_trees_1(k4_qc_lang4(A, B, C), k9_xtuple_0(k2_qc_lang4(A, B)))) ) ) ).
fof(t4_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) => k10_xtuple_0(k1_qc_lang4(A, B))=a_2_0_qc_lang4(A, B)) ) ) ) ).
fof(t19_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) => k3_qc_lang4(A, B, C)=a_3_0_qc_lang4(A, B, C)) ) ) ) ) ) ).
fof(t29_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m1_subset_1(D, k9_qc_lang1(A)) => r1_tarski(a_4_0_qc_lang4(A, B, C, D), k3_qc_lang4(A, B, D))) ) ) ) ) ) ) ) ).
fof(t32_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) => k3_qc_lang4(A, B, C)=a_3_1_qc_lang4(A, B, C)) ) ) ) ) ) ).
fof(t33_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (! [D] :  (m1_subset_1(D, k9_qc_lang1(A)) =>  (! [E] :  (m1_trees_2(E, k9_xtuple_0(k2_qc_lang4(A, B))) =>  ~ ( (r2_tarski(C, a_3_2_qc_lang4(A, B, E)) &  (r2_tarski(D, a_3_2_qc_lang4(A, B, E)) &  ( ~ (r2_qc_lang2(A, C, D))  &  ~ (r2_qc_lang2(A, D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_qc_lang4(C, A, B) => k4_qc_lang4(A, B, C)=a_3_3_qc_lang4(A, B, C)) ) ) ) ) ) ).
fof(t39_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_qc_lang4(C, A, B) =>  (! [D] :  (m1_qc_lang4(D, A, B) => a_4_1_qc_lang4(A, B, C, D)=a_4_2_qc_lang4(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t40_qc_lang4, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_qc_lang4(C, A, B) =>  (! [D] :  (m1_qc_lang4(D, A, B) => r1_tarski(a_4_1_qc_lang4(A, B, C, D), k4_qc_lang4(A, B, D))) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_qc_lang4, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(B) & m1_subset_1(C, k9_qc_lang1(B)))  =>  (r2_hidden(A, a_2_0_qc_lang4(B, C)) <=>  (? [D] :  (m1_subset_1(D, k9_qc_lang1(B)) &  (A=D & r1_qc_lang2(B, D, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_qc_lang4, axiom,  (! [A, B, C, D] :  ( (m1_qc_lang1(B) &  (m1_subset_1(C, k9_qc_lang1(B)) & m1_subset_1(D, k9_qc_lang1(B))) )  =>  (r2_hidden(A, a_3_0_qc_lang4(B, C, D)) <=>  (? [E] :  (m1_trees_1(E, k9_xtuple_0(k2_qc_lang4(B, C))) &  (A=E & k3_trees_2(k9_qc_lang1(B), k2_qc_lang4(B, C), E)=D) ) ) ) ) ) ).
fof(fraenkel_a_4_0_qc_lang4, axiom,  (! [A, B, C, D, E] :  ( (m1_qc_lang1(B) &  (m1_subset_1(C, k9_qc_lang1(B)) &  (m1_subset_1(D, k9_qc_lang1(B)) & m1_subset_1(E, k9_qc_lang1(B))) ) )  =>  (r2_hidden(A, a_4_0_qc_lang4(B, C, D, E)) <=>  (? [F, G] :  ( (m1_trees_1(F, k9_xtuple_0(k2_qc_lang4(B, C))) & m1_trees_1(G, k9_xtuple_0(k2_qc_lang4(B, D))))  &  (A=k8_finseq_1(k4_ordinal1, F, G) &  (r2_tarski(F, k3_qc_lang4(B, C, D)) & r2_tarski(G, k3_qc_lang4(B, D, E))) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_qc_lang4, axiom,  (! [A, B, C, D] :  ( (m1_qc_lang1(B) &  (m1_subset_1(C, k9_qc_lang1(B)) & m1_subset_1(D, k9_qc_lang1(B))) )  =>  (r2_hidden(A, a_3_1_qc_lang4(B, C, D)) <=>  (? [E] :  (m1_trees_1(E, k9_xtuple_0(k2_qc_lang4(B, C))) &  (A=E & k5_trees_2(k2_qc_lang4(B, C), E)=k2_qc_lang4(B, D)) ) ) ) ) ) ).
fof(fraenkel_a_3_2_qc_lang4, axiom,  (! [A, B, C, D] :  ( (m1_qc_lang1(B) &  (m1_subset_1(C, k9_qc_lang1(B)) & m1_trees_2(D, k9_xtuple_0(k2_qc_lang4(B, C)))) )  =>  (r2_hidden(A, a_3_2_qc_lang4(B, C, D)) <=>  (? [E] :  (m1_trees_1(E, k9_xtuple_0(k2_qc_lang4(B, C))) &  (A=k3_trees_2(k9_qc_lang1(B), k2_qc_lang4(B, C), E) & r2_tarski(E, D)) ) ) ) ) ) ).
fof(fraenkel_a_3_3_qc_lang4, axiom,  (! [A, B, C, D] :  ( (m1_qc_lang1(B) &  (m1_subset_1(C, k9_qc_lang1(B)) & m1_qc_lang4(D, B, C)) )  =>  (r2_hidden(A, a_3_3_qc_lang4(B, C, D)) <=>  (? [E] :  (m2_qc_lang4(E, B, C, D) &  (A=E & E=E) ) ) ) ) ) ).
fof(fraenkel_a_4_1_qc_lang4, axiom,  (! [A, B, C, D, E] :  ( (m1_qc_lang1(B) &  (m1_subset_1(C, k9_qc_lang1(B)) &  (m1_qc_lang4(D, B, C) & m1_qc_lang4(E, B, C)) ) )  =>  (r2_hidden(A, a_4_1_qc_lang4(B, C, D, E)) <=>  (? [F, G] :  ( (m2_qc_lang4(F, B, C, D) & m1_trees_1(G, k9_xtuple_0(k2_qc_lang4(B, D))))  &  (A=k8_finseq_1(k4_ordinal1, F, G) & r2_tarski(G, k3_qc_lang4(B, D, E))) ) ) ) ) ) ).
fof(fraenkel_a_4_2_qc_lang4, axiom,  (! [A, B, C, D, E] :  ( (m1_qc_lang1(B) &  (m1_subset_1(C, k9_qc_lang1(B)) &  (m1_qc_lang4(D, B, C) & m1_qc_lang4(E, B, C)) ) )  =>  (r2_hidden(A, a_4_2_qc_lang4(B, C, D, E)) <=>  (? [F, G] :  ( (m1_trees_1(F, k9_xtuple_0(k2_qc_lang4(B, C))) & m1_trees_1(G, k9_xtuple_0(k2_qc_lang4(B, D))))  &  (A=k8_finseq_1(k4_ordinal1, F, G) &  (r2_tarski(F, k3_qc_lang4(B, C, D)) & r2_tarski(G, k3_qc_lang4(B, D, E))) ) ) ) ) ) ) ).
fof(rc1_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (? [B] :  (m1_qc_lang1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) & v1_qc_trans(B, A)) ) ) ) ) ) ).
fof(rc2_qc_trans, axiom,  (! [A, B] :  ( ( (v4_card_3(A) & m1_qc_lang1(A))  &  (v4_card_3(B) & m1_qc_lang1(B)) )  =>  (? [C] :  (m1_qc_lang1(C) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_card_3(C) &  (v1_qc_trans(C, A) & v1_qc_trans(C, B)) ) ) ) ) ) ) ) ).
fof(rc3_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) &  ( ~ (v1_xboole_0(B))  & v1_henmodel(B, A)) ) ) ) ) ).
fof(cc1_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (v1_henmodel(B, A) => v2_qc_trans(B, A, A)) ) ) ) ) ).
fof(cc2_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (v2_qc_trans(B, A, A) => v1_henmodel(B, A)) ) ) ) ) ).
fof(fc1_qc_trans, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) &  (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A)))) )  => v1_finset_1(k6_goedelcp(A, B))) ) ).
fof(d1_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_qc_lang1(B) =>  (v1_qc_trans(B, A) <=> r1_tarski(A, B)) ) ) ) ) ).
fof(d2_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_qc_lang1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) =>  (v2_qc_trans(C, A, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_cqc_lang(B))) =>  (C=D => v1_henmodel(D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t1_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v5_relat_1(C, k3_qc_lang1(A)) &  (v3_card_1(C, B) & m2_finseq_1(C, k2_qc_lang1(A))) )  =>  (! [D] :  (m2_subset_1(D, k6_qc_lang1(A), k8_qc_lang1(A, B)) => k7_qc_lang1(A, D)=k3_finseq_1(C)) ) ) ) ) ) ) ) ).
fof(t2_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_qc_trans(B, A) & m1_qc_lang1(B))  => r1_tarski(k1_qc_lang1(A), k1_qc_lang1(B))) ) ) ) ).
fof(t3_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_qc_trans(B, A) & m1_qc_lang1(B))  => r1_tarski(k6_qc_lang1(A), k6_qc_lang1(B))) ) ) ) ).
fof(t4_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_qc_trans(B, A) & m1_qc_lang1(B))  => r1_tarski(k3_qc_lang1(A), k3_qc_lang1(B))) ) ) ) ).
fof(t5_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_qc_trans(B, A) & m1_qc_lang1(B))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v5_relat_1(D, k3_qc_lang1(A)) &  (v3_card_1(D, C) & m2_finseq_1(D, k2_qc_lang1(A))) )  =>  (v5_relat_1(D, k3_qc_lang1(B)) &  (v3_card_1(D, C) & m2_finseq_1(D, k2_qc_lang1(B))) ) ) ) ) ) ) ) ) ) ).
fof(t6_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_subset_1(C, k6_qc_lang1(A), k8_qc_lang1(A, B)) =>  (! [D] :  ( (v1_qc_trans(D, A) & m1_qc_lang1(D))  => m2_subset_1(C, k6_qc_lang1(D), k8_qc_lang1(D, B))) ) ) ) ) ) ) ) ).
fof(t7_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_qc_trans(B, A) & m1_qc_lang1(B))  =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => m2_subset_1(C, k9_qc_lang1(B), k3_cqc_lang(B))) ) ) ) ) ) ).
fof(d3_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_qc_trans(B, A) & m1_qc_lang1(B))  =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => k1_qc_trans(A, B, C)=C) ) ) ) ) ) ).
fof(d4_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_qc_trans(B, A) & m1_qc_lang1(B))  =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) => k2_qc_trans(A, B, C)=C) ) ) ) ) ) ).
fof(d5_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_qc_trans(B, A) & m1_qc_lang1(B))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_subset_1(D, k6_qc_lang1(A), k8_qc_lang1(A, C)) => k3_qc_trans(A, B, C, D)=D) ) ) ) ) ) ) ) ).
fof(d6_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_qc_trans(B, A) & m1_qc_lang1(B))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v5_relat_1(D, k3_qc_lang1(A)) &  (v3_card_1(D, C) & m2_finseq_1(D, k2_qc_lang1(A))) )  => k4_qc_trans(A, B, C, D)=D) ) ) ) ) ) ) ) ).
fof(t8_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m2_subset_1(E, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [F] :  (m2_subset_1(F, k6_qc_lang1(A), k8_qc_lang1(A, B)) =>  (! [G] :  ( (v5_relat_1(G, k3_qc_lang1(A)) &  (v3_card_1(G, B) & m2_finseq_1(G, k2_qc_lang1(A))) )  =>  (! [H] :  ( (v1_qc_trans(H, A) & m1_qc_lang1(H))  =>  (k1_qc_trans(A, H, k5_cqc_lang(A))=k5_cqc_lang(H) &  (k1_qc_trans(A, H, k4_cqc_lang(B, A, F, G))=k4_cqc_lang(B, H, k3_qc_trans(A, H, B, F), k4_qc_trans(A, H, B, G)) &  (k1_qc_trans(A, H, k6_cqc_lang(A, C))=k6_cqc_lang(H, k1_qc_trans(A, H, C)) &  (k1_qc_trans(A, H, k7_cqc_lang(A, C, D))=k7_cqc_lang(H, k1_qc_trans(A, H, C), k1_qc_trans(A, H, D)) & k1_qc_trans(A, H, k11_cqc_lang(A, E, C))=k11_cqc_lang(H, k2_qc_trans(A, H, E), k1_qc_trans(A, H, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_qc_trans(D, A) & m1_qc_lang1(D))  =>  (! [E] :  (m1_valuat_1(E, D, C) =>  (! [F] :  (m1_valuat_1(F, A, C) =>  (! [G] :  (m2_funct_2(G, k3_qc_lang1(D), C, k2_valuat_1(D, C)) =>  (! [H] :  (m2_funct_2(H, k3_qc_lang1(A), C, k2_valuat_1(A, C)) =>  ( (F=k5_relset_1(k6_qc_lang1(D), k2_margrel1(C), E, k6_qc_lang1(A)) & H=k5_relset_1(k3_qc_lang1(D), C, G, k3_qc_lang1(A)))  =>  (r1_valuat_1(D, C, k1_qc_trans(A, D, B), E, G) <=> r1_valuat_1(A, C, B, F, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_henmodel(B, A) & m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))))  =>  (! [C] :  ( (v1_qc_trans(C, A) & m1_qc_lang1(C))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_cqc_lang(C))) =>  (r1_tarski(B, D) =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  (m1_valuat_1(F, C, E) =>  (! [G] :  (m2_funct_2(G, k3_qc_lang1(C), E, k2_valuat_1(C, E)) =>  ~ ( (r6_calcul_1(C, D, E, F, G) &  (! [H] :  ( ~ (v1_xboole_0(H))  =>  (! [I] :  (m1_valuat_1(I, A, H) =>  (! [J] :  (m2_funct_2(J, k3_qc_lang1(A), H, k2_valuat_1(A, H)) =>  ~ (r6_calcul_1(A, B, H, I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_qc_trans(B, A) & m1_qc_lang1(B))  =>  (! [C] :  (m2_finseq_1(C, k3_cqc_lang(B)) =>  (! [D] :  (m2_finseq_1(D, k3_cqc_lang(A)) =>  (C=D =>  (k1_calcul_1(k3_cqc_lang(B), C)=k1_calcul_1(k3_cqc_lang(A), D) & k2_calcul_1(B, C)=k2_calcul_1(A, D)) ) ) ) ) ) ) ) ) ) ).
fof(t12_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_qc_trans(B, A) & m1_qc_lang1(B))  =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => k24_qc_lang1(A, C)=k24_qc_lang1(B, k1_qc_trans(A, B, C))) ) ) ) ) ) ).
fof(t13_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_qc_trans(B, A) & m1_qc_lang1(B))  =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(B), k3_cqc_lang(B)) =>  (! [D] :  (m1_subset_1(D, k1_substut1(A)) =>  (! [E] :  (m1_subset_1(E, k1_substut1(B)) =>  (! [F] :  (m2_subset_1(F, k2_qc_lang1(B), k3_qc_lang1(B)) =>  (! [G] :  (m2_subset_1(G, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [H] :  (m2_subset_1(H, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (H=C &  (D=E & G=F) )  => k7_substut1(A, G, H, D)=k7_substut1(B, F, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_qc_trans(B, A) & m1_qc_lang1(B))  =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(B), k3_cqc_lang(B)) =>  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_substut1(A)))  =>  (! [E] :  ( (v1_finset_1(E) & m1_subset_1(E, k1_substut1(B)))  =>  (! [F] :  (m2_subset_1(F, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (D=E & F=C)  => k13_substut1(A, D, F)=k13_substut1(B, E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_qc_trans(B, A) & m1_qc_lang1(B))  =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(B), k3_cqc_lang(B)) =>  (! [D] :  (m1_subset_1(D, k1_substut1(A)) =>  (! [E] :  (m1_subset_1(E, k1_substut1(B)) =>  (! [F] :  (m2_subset_1(F, k2_qc_lang1(B), k3_qc_lang1(B)) =>  (! [G] :  (m2_subset_1(G, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [H] :  (m2_subset_1(H, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (H=C &  (D=E & G=F) )  => k14_substut1(A, G, H, k7_substut1(A, G, k11_cqc_lang(A, G, H), D))=k14_substut1(B, F, C, k7_substut1(B, F, k11_cqc_lang(B, F, C), E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_qc_trans(B, A) & m1_qc_lang1(B))  =>  (! [C] :  (m2_subset_1(C, k16_substut1(A), k38_substut1(A)) =>  (! [D] :  (m2_subset_1(D, k16_substut1(B), k38_substut1(B)) =>  ( (v5_qc_lang1(k2_sublemma(A, C), A) &  (v5_qc_lang1(k2_sublemma(B, D), B) &  (k21_qc_lang1(A, k2_sublemma(A, C))=k21_qc_lang1(B, k2_sublemma(B, D)) &  (k22_qc_lang1(A, k2_sublemma(A, C))=k22_qc_lang1(B, k2_sublemma(B, D)) & C=D) ) ) )  => k35_substut1(A, k32_substut1(A, C))=k35_substut1(B, k32_substut1(B, D))) ) ) ) ) ) ) ) ) ).
fof(t17_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_qc_trans(B, A) & m1_qc_lang1(B))  =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(B), k3_cqc_lang(B)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(B), k3_qc_lang1(B)) =>  (! [E] :  (m2_subset_1(E, k2_qc_lang1(B), k3_qc_lang1(B)) =>  (! [F] :  (m2_subset_1(F, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [G] :  (m2_subset_1(G, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [H] :  (m2_subset_1(H, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( (F=C &  (G=D & H=E) )  => k4_substut2(A, F, G, H)=k4_substut2(B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_qc_trans(B, A) & m1_qc_lang1(B))  =>  (! [C] :  ( (v1_henmodel(C, B) & m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(B))))  =>  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) => v2_qc_trans(C, B, A)) ) ) ) ) ) ) ).
fof(t19_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (? [C] :  ( (v4_card_3(C) & m1_qc_lang1(C))  &  (m2_subset_1(B, k9_qc_lang1(C), k3_cqc_lang(C)) & v1_qc_trans(A, C)) ) ) ) ) ) ) ).
fof(t20_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))))  =>  (? [C] :  ( (v4_card_3(C) & m1_qc_lang1(C))  &  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(C))))  & v1_qc_trans(A, C)) ) ) ) ) ) ) ).
fof(t21_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_henmodel(B, A) & m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))))  =>  (! [C] :  ( (v1_qc_trans(C, A) & m1_qc_lang1(C))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_cqc_lang(C))) =>  (B=D =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  (m1_valuat_1(F, A, E) =>  (! [G] :  (m2_funct_2(G, k3_qc_lang1(A), E, k2_valuat_1(A, E)) =>  ~ ( (r6_calcul_1(A, B, E, F, G) &  (! [H] :  ( ~ (v1_xboole_0(H))  =>  (! [I] :  (m1_valuat_1(I, C, H) =>  (! [J] :  (m2_funct_2(J, k3_qc_lang1(C), H, k2_valuat_1(C, H)) =>  ~ (r6_calcul_1(C, D, H, I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_henmodel(B, A) & m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k3_cqc_lang(A))) =>  (r1_tarski(C, B) => v1_henmodel(C, A)) ) ) ) ) ) ) ).
fof(t23_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_henmodel(B, A) & m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))))  =>  (! [C] :  ( (v1_qc_trans(C, A) & m1_qc_lang1(C))  => v2_qc_trans(B, A, C)) ) ) ) ) ) ).
fof(dt_k1_qc_trans, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  ( (v1_qc_trans(B, A) & m1_qc_lang1(B))  & m1_subset_1(C, k3_cqc_lang(A))) )  => m2_subset_1(k1_qc_trans(A, B, C), k9_qc_lang1(B), k3_cqc_lang(B))) ) ).
fof(dt_k2_qc_trans, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  ( (v1_qc_trans(B, A) & m1_qc_lang1(B))  & m1_subset_1(C, k3_qc_lang1(A))) )  => m2_subset_1(k2_qc_trans(A, B, C), k2_qc_lang1(B), k3_qc_lang1(B))) ) ).
fof(dt_k3_qc_trans, axiom,  (! [A, B, C, D] :  ( (m1_qc_lang1(A) &  ( (v1_qc_trans(B, A) & m1_qc_lang1(B))  &  (v7_ordinal1(C) & m1_subset_1(D, k8_qc_lang1(A, C))) ) )  => m2_subset_1(k3_qc_trans(A, B, C, D), k6_qc_lang1(B), k8_qc_lang1(B, C))) ) ).
fof(dt_k4_qc_trans, axiom,  (! [A, B, C, D] :  ( (m1_qc_lang1(A) &  ( (v1_qc_trans(B, A) & m1_qc_lang1(B))  &  (v7_ordinal1(C) &  (v5_relat_1(D, k3_qc_lang1(A)) &  (v3_card_1(D, C) & m1_finseq_1(D, k2_qc_lang1(A))) ) ) ) )  =>  (v5_relat_1(k4_qc_trans(A, B, C, D), k3_qc_lang1(B)) &  (v3_card_1(k4_qc_trans(A, B, C, D), C) & m2_finseq_1(k4_qc_trans(A, B, C, D), k2_qc_lang1(B))) ) ) ) ).
fof(fc1_qmax_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) )  =>  ~ (v1_xboole_0(k1_qmax_1(A, B))) ) ) ).
fof(rc1_qmax_1, axiom,  (? [A] :  (l1_qmax_1(A) & v1_qmax_1(A)) ) ).
fof(fc2_qmax_1, axiom,  (! [A] :  (l1_qmax_1(A) =>  ~ (v1_xboole_0(k2_qmax_1(A))) ) ) ).
fof(fc3_qmax_1, axiom,  (! [A] :  (l1_qmax_1(A) =>  ~ (v1_xboole_0(k3_qmax_1(A))) ) ) ).
fof(rc2_qmax_1, axiom,  (? [A] :  (l1_qmax_1(A) &  (v1_qmax_1(A) & v2_qmax_1(A)) ) ) ).
fof(rc3_qmax_1, axiom,  (? [A] :  (l2_qmax_1(A) & v3_qmax_1(A)) ) ).
fof(fc4_qmax_1, axiom,  (! [A] :  ( (v2_qmax_1(A) & l1_qmax_1(A))  =>  ~ (v1_xboole_0(k5_qmax_1(A))) ) ) ).
fof(d1_qmax_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (C=k1_qmax_1(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=> m2_prob_1(D, A, B)) ) ) ) ) ) ) ) ).
fof(d2_qmax_1, axiom,  (! [A] :  (l1_qmax_1(A) => k2_qmax_1(A)=u1_qmax_1(A)) ) ).
fof(d3_qmax_1, axiom,  (! [A] :  (l1_qmax_1(A) => k3_qmax_1(A)=u2_qmax_1(A)) ) ).
fof(d4_qmax_1, axiom,  (! [A] :  (l1_qmax_1(A) =>  (! [B] :  (m1_subset_1(B, k2_qmax_1(A)) =>  (! [C] :  (m1_subset_1(C, k3_qmax_1(A)) => k4_qmax_1(A, B, C)=k1_funct_1(u3_qmax_1(A), k1_domain_1(k2_qmax_1(A), k3_qmax_1(A), B, C))) ) ) ) ) ) ).
fof(d5_qmax_1, axiom,  (! [A] :  (l1_qmax_1(A) =>  (v2_qmax_1(A) <=>  ( (! [B] :  (m1_subset_1(B, k2_qmax_1(A)) =>  (! [C] :  (m1_subset_1(C, k2_qmax_1(A)) =>  ( (! [D] :  (m1_subset_1(D, k3_qmax_1(A)) => r2_funct_2(k12_prob_1, k1_numbers, k4_qmax_1(A, B, D), k4_qmax_1(A, C, D))) )  => B=C) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, k3_qmax_1(A)) =>  (! [C] :  (m1_subset_1(C, k3_qmax_1(A)) =>  ( (! [D] :  (m1_subset_1(D, k2_qmax_1(A)) => r2_funct_2(k12_prob_1, k1_numbers, k4_qmax_1(A, D, B), k4_qmax_1(A, D, C))) )  => B=C) ) ) ) )  &  (! [B] :  (m1_subset_1(B, k3_qmax_1(A)) =>  (! [C] :  (m1_subset_1(C, k3_qmax_1(A)) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( (r1_xxreal_0(k5_numbers, D) &  (r1_xxreal_0(D, 1) &  (! [E] :  (m1_subset_1(E, k3_qmax_1(A)) =>  ~ ( (! [F] :  (m1_subset_1(F, k2_qmax_1(A)) =>  (! [G] :  (m1_prob_1(G, k1_numbers, k12_prob_1) => k3_funct_2(k12_prob_1, k1_numbers, k4_qmax_1(A, F, E), G)=k2_xcmplx_0(k3_xcmplx_0(D, k3_funct_2(k12_prob_1, k1_numbers, k4_qmax_1(A, F, B), G)), k3_xcmplx_0(k6_xcmplx_0(1, D), k3_funct_2(k12_prob_1, k1_numbers, k4_qmax_1(A, F, C), G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_qmax_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (r1_qmax_1(A, B) <=>  (! [C] :  (m1_subset_1(C, A) => k1_funct_1(B, k1_funct_1(B, C))=C) ) ) ) ) ) ).
fof(d7_qmax_1, axiom,  (! [A] :  (l2_qmax_1(A) =>  (r2_qmax_1(A) <=>  (r2_orders_1(u1_orders_2(A), u1_struct_0(A)) &  (r1_qmax_1(u1_struct_0(A), u1_robbins1(A)) &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_hidden(k4_tarski(B, C), u1_orders_2(A)) => r2_hidden(k4_tarski(k1_funct_1(u1_robbins1(A), C), k1_funct_1(u1_robbins1(A), B)), u1_orders_2(A))) ) ) ) ) ) ) ) ) ) ).
fof(d8_qmax_1, axiom,  (! [A] :  ( (v2_qmax_1(A) & l1_qmax_1(A))  => k5_qmax_1(A)=k2_zfmisc_1(k2_qmax_1(A), k12_prob_1)) ) ).
fof(t1_qmax_1, axiom,  (! [A] :  ( (v2_qmax_1(A) & l1_qmax_1(A))  =>  (! [B] :  (m1_subset_1(B, k3_qmax_1(A)) =>  (! [C] :  (m1_subset_1(C, k5_qmax_1(A)) =>  (! [D] :  (m1_prob_1(D, k1_numbers, k12_prob_1) =>  (D=k3_subset_1(k1_numbers, k7_qmax_1(A, C)) => k3_funct_2(k12_prob_1, k1_numbers, k4_qmax_1(A, k6_qmax_1(A, C), B), k7_qmax_1(A, C))=k6_xcmplx_0(1, k3_funct_2(k12_prob_1, k1_numbers, k4_qmax_1(A, k6_qmax_1(A, C), B), D))) ) ) ) ) ) ) ) ) ).
fof(d9_qmax_1, axiom,  (! [A] :  ( (v2_qmax_1(A) & l1_qmax_1(A))  =>  (! [B] :  (m1_subset_1(B, k5_qmax_1(A)) => k8_qmax_1(A, B)=k1_domain_1(k2_qmax_1(A), k1_zfmisc_1(k1_numbers), k6_qmax_1(A, B), k3_subset_1(k1_numbers, k7_qmax_1(A, B)))) ) ) ) ).
fof(d10_qmax_1, axiom,  (! [A] :  ( (v2_qmax_1(A) & l1_qmax_1(A))  =>  (! [B] :  (m1_subset_1(B, k5_qmax_1(A)) =>  (! [C] :  (m1_subset_1(C, k5_qmax_1(A)) =>  (r3_qmax_1(A, B, C) <=>  (! [D] :  (m1_subset_1(D, k3_qmax_1(A)) => r1_xxreal_0(k3_funct_2(k12_prob_1, k1_numbers, k4_qmax_1(A, k6_qmax_1(A, B), D), k7_qmax_1(A, B)), k3_funct_2(k12_prob_1, k1_numbers, k4_qmax_1(A, k6_qmax_1(A, C), D), k7_qmax_1(A, C)))) ) ) ) ) ) ) ) ) ).
fof(d11_qmax_1, axiom,  (! [A] :  ( (v2_qmax_1(A) & l1_qmax_1(A))  =>  (! [B] :  (m1_subset_1(B, k5_qmax_1(A)) =>  (! [C] :  (m1_subset_1(C, k5_qmax_1(A)) =>  (r4_qmax_1(A, B, C) <=>  (r3_qmax_1(A, B, C) & r3_qmax_1(A, C, B)) ) ) ) ) ) ) ) ).
fof(t2_qmax_1, axiom,  (! [A] :  ( (v2_qmax_1(A) & l1_qmax_1(A))  =>  (! [B] :  (m1_subset_1(B, k5_qmax_1(A)) =>  (! [C] :  (m1_subset_1(C, k5_qmax_1(A)) =>  (r4_qmax_1(A, B, C) <=>  (! [D] :  (m1_subset_1(D, k3_qmax_1(A)) => k3_funct_2(k12_prob_1, k1_numbers, k4_qmax_1(A, k6_qmax_1(A, B), D), k7_qmax_1(A, B))=k3_funct_2(k12_prob_1, k1_numbers, k4_qmax_1(A, k6_qmax_1(A, C), D), k7_qmax_1(A, C))) ) ) ) ) ) ) ) ) ).
fof(t3_qmax_1, axiom,  (! [A] :  ( (v2_qmax_1(A) & l1_qmax_1(A))  =>  (! [B] :  (m1_subset_1(B, k5_qmax_1(A)) => r3_qmax_1(A, B, B)) ) ) ) ).
fof(t4_qmax_1, axiom,  (! [A] :  ( (v2_qmax_1(A) & l1_qmax_1(A))  =>  (! [B] :  (m1_subset_1(B, k5_qmax_1(A)) =>  (! [C] :  (m1_subset_1(C, k5_qmax_1(A)) =>  (! [D] :  (m1_subset_1(D, k5_qmax_1(A)) =>  ( (r3_qmax_1(A, B, C) & r3_qmax_1(A, C, D))  => r3_qmax_1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t5_qmax_1, axiom,  (! [A] :  ( (v2_qmax_1(A) & l1_qmax_1(A))  =>  (! [B] :  (m1_subset_1(B, k5_qmax_1(A)) => r4_qmax_1(A, B, B)) ) ) ) ).
fof(t6_qmax_1, axiom,  (! [A] :  ( (v2_qmax_1(A) & l1_qmax_1(A))  =>  (! [B] :  (m1_subset_1(B, k5_qmax_1(A)) =>  (! [C] :  (m1_subset_1(C, k5_qmax_1(A)) =>  (r4_qmax_1(A, B, C) => r4_qmax_1(A, C, B)) ) ) ) ) ) ) ).
fof(t7_qmax_1, axiom,  (! [A] :  ( (v2_qmax_1(A) & l1_qmax_1(A))  =>  (! [B] :  (m1_subset_1(B, k5_qmax_1(A)) =>  (! [C] :  (m1_subset_1(C, k5_qmax_1(A)) =>  (! [D] :  (m1_subset_1(D, k5_qmax_1(A)) =>  ( (r4_qmax_1(A, B, C) & r4_qmax_1(A, C, D))  => r4_qmax_1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t9_qmax_1, axiom,  (! [A] :  ( (v2_qmax_1(A) & l1_qmax_1(A))  =>  (! [B] :  (m1_subset_1(B, k5_qmax_1(A)) =>  (! [C] :  (m1_subset_1(C, k5_qmax_1(A)) =>  (r3_qmax_1(A, B, C) => r3_qmax_1(A, k8_qmax_1(A, C), k8_qmax_1(A, B))) ) ) ) ) ) ) ).
fof(d12_qmax_1, axiom,  (! [A] :  ( (v2_qmax_1(A) & l1_qmax_1(A))  =>  (! [B] :  ( (v3_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, k5_qmax_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k5_qmax_1(A), k5_qmax_1(A))))) ) )  =>  (B=k9_qmax_1(A) <=>  (! [C] :  (m1_subset_1(C, k5_qmax_1(A)) =>  (! [D] :  (m1_subset_1(D, k5_qmax_1(A)) =>  (r2_tarski(k1_domain_1(k5_qmax_1(A), k5_qmax_1(A), C, D), B) <=> r4_qmax_1(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t10_qmax_1, axiom,  (! [A] :  ( (v2_qmax_1(A) & l1_qmax_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k5_qmax_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k5_qmax_1(A))) =>  ( (r2_tarski(B, k8_eqrel_1(k5_qmax_1(A), k9_qmax_1(A))) & r2_tarski(C, k8_eqrel_1(k5_qmax_1(A), k9_qmax_1(A))))  =>  (! [D] :  (m1_subset_1(D, k5_qmax_1(A)) =>  (! [E] :  (m1_subset_1(E, k5_qmax_1(A)) =>  (! [F] :  (m1_subset_1(F, k5_qmax_1(A)) =>  (! [G] :  (m1_subset_1(G, k5_qmax_1(A)) =>  ( (r2_tarski(D, B) &  (r2_tarski(E, B) &  (r2_tarski(F, C) &  (r2_tarski(G, C) & r3_qmax_1(A, D, F)) ) ) )  => r3_qmax_1(A, E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_qmax_1, axiom,  (! [A] :  ( (v2_qmax_1(A) & l1_qmax_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(k5_qmax_1(A), k9_qmax_1(A)), k8_eqrel_1(k5_qmax_1(A), k9_qmax_1(A))))) =>  (B=k10_qmax_1(A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k5_qmax_1(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k5_qmax_1(A))) =>  (r2_tarski(k1_domain_1(k1_zfmisc_1(k5_qmax_1(A)), k1_zfmisc_1(k5_qmax_1(A)), C, D), B) <=>  (r2_tarski(C, k8_eqrel_1(k5_qmax_1(A), k9_qmax_1(A))) &  (r2_tarski(D, k8_eqrel_1(k5_qmax_1(A), k9_qmax_1(A))) &  (! [E] :  (m1_subset_1(E, k5_qmax_1(A)) =>  (! [F] :  (m1_subset_1(F, k5_qmax_1(A)) =>  ( (r2_tarski(E, C) & r2_tarski(F, D))  => r3_qmax_1(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_qmax_1, axiom,  (! [A] :  ( (v2_qmax_1(A) & l1_qmax_1(A))  =>  (! [B] :  (m1_subset_1(B, k5_qmax_1(A)) =>  (! [C] :  (m1_subset_1(C, k5_qmax_1(A)) =>  (r3_qmax_1(A, B, C) <=> r2_tarski(k1_domain_1(k1_zfmisc_1(k5_qmax_1(A)), k1_zfmisc_1(k5_qmax_1(A)), k6_eqrel_1(k5_qmax_1(A), k5_qmax_1(A), k9_qmax_1(A), B), k6_eqrel_1(k5_qmax_1(A), k5_qmax_1(A), k9_qmax_1(A), C)), k10_qmax_1(A))) ) ) ) ) ) ) ).
fof(t12_qmax_1, axiom,  (! [A] :  ( (v2_qmax_1(A) & l1_qmax_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k5_qmax_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k5_qmax_1(A))) =>  ( (r2_tarski(B, k8_eqrel_1(k5_qmax_1(A), k9_qmax_1(A))) & r2_tarski(C, k8_eqrel_1(k5_qmax_1(A), k9_qmax_1(A))))  =>  (! [D] :  (m1_subset_1(D, k5_qmax_1(A)) =>  (! [E] :  (m1_subset_1(E, k5_qmax_1(A)) =>  ( (r2_tarski(D, B) &  (r2_tarski(E, B) & r2_tarski(k8_qmax_1(A, D), C)) )  => r2_tarski(k8_qmax_1(A, E), C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_qmax_1, axiom,  (! [A] :  ( (v2_qmax_1(A) & l1_qmax_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k5_qmax_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k5_qmax_1(A))) =>  ( (r2_tarski(B, k8_eqrel_1(k5_qmax_1(A), k9_qmax_1(A))) & r2_tarski(C, k8_eqrel_1(k5_qmax_1(A), k9_qmax_1(A))))  =>  (! [D] :  (m1_subset_1(D, k5_qmax_1(A)) =>  (! [E] :  (m1_subset_1(E, k5_qmax_1(A)) =>  ( (r2_tarski(k8_qmax_1(A, D), C) &  (r2_tarski(k8_qmax_1(A, E), C) & r2_tarski(D, B)) )  => r2_tarski(E, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_qmax_1, axiom,  (! [A] :  ( (v2_qmax_1(A) & l1_qmax_1(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k8_eqrel_1(k5_qmax_1(A), k9_qmax_1(A)), k8_eqrel_1(k5_qmax_1(A), k9_qmax_1(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(k5_qmax_1(A), k9_qmax_1(A)), k8_eqrel_1(k5_qmax_1(A), k9_qmax_1(A)))))) )  =>  (B=k11_qmax_1(A) <=>  (! [C] :  (m1_subset_1(C, k5_qmax_1(A)) => k1_funct_1(B, k6_eqrel_1(k5_qmax_1(A), k5_qmax_1(A), k9_qmax_1(A), C))=k6_eqrel_1(k5_qmax_1(A), k5_qmax_1(A), k9_qmax_1(A), k8_qmax_1(A, C))) ) ) ) ) ) ) ).
fof(t14_qmax_1, axiom,  (! [A] :  ( (v2_qmax_1(A) & l1_qmax_1(A))  => r2_qmax_1(g2_qmax_1(k8_eqrel_1(k5_qmax_1(A), k9_qmax_1(A)), k10_qmax_1(A), k11_qmax_1(A)))) ) ).
fof(abstractness_v1_qmax_1, axiom,  (! [A] :  (l1_qmax_1(A) =>  (v1_qmax_1(A) => A=g1_qmax_1(u1_qmax_1(A), u2_qmax_1(A), u3_qmax_1(A))) ) ) ).
fof(existence_l1_qmax_1, axiom,  (? [A] : l1_qmax_1(A)) ).
fof(dt_g1_qmax_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k1_qmax_1(k1_numbers, k12_prob_1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_qmax_1(k1_numbers, k12_prob_1))))) ) ) )  =>  (v1_qmax_1(g1_qmax_1(A, B, C)) & l1_qmax_1(g1_qmax_1(A, B, C))) ) ) ).
fof(free_g1_qmax_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, B), k1_qmax_1(k1_numbers, k12_prob_1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_qmax_1(k1_numbers, k12_prob_1))))) ) ) )  =>  (! [D, E, F] :  (g1_qmax_1(A, B, C)=g1_qmax_1(D, E, F) =>  (A=D &  (B=E & C=F) ) ) ) ) ) ).
fof(dt_u1_qmax_1, axiom,  (! [A] :  (l1_qmax_1(A) =>  ~ (v1_xboole_0(u1_qmax_1(A))) ) ) ).
fof(dt_u2_qmax_1, axiom,  (! [A] :  (l1_qmax_1(A) =>  ~ (v1_xboole_0(u2_qmax_1(A))) ) ) ).
fof(dt_u3_qmax_1, axiom,  (! [A] :  (l1_qmax_1(A) =>  (v1_funct_1(u3_qmax_1(A)) &  (v1_funct_2(u3_qmax_1(A), k2_zfmisc_1(u1_qmax_1(A), u2_qmax_1(A)), k1_qmax_1(k1_numbers, k12_prob_1)) & m1_subset_1(u3_qmax_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_qmax_1(A), u2_qmax_1(A)), k1_qmax_1(k1_numbers, k12_prob_1))))) ) ) ) ).
fof(dt_k4_qmax_1, axiom,  (! [A, B, C] :  ( (l1_qmax_1(A) &  (m1_subset_1(B, k2_qmax_1(A)) & m1_subset_1(C, k3_qmax_1(A))) )  => m2_prob_1(k4_qmax_1(A, B, C), k1_numbers, k12_prob_1)) ) ).
fof(abstractness_v3_qmax_1, axiom,  (! [A] :  (l2_qmax_1(A) =>  (v3_qmax_1(A) => A=g2_qmax_1(u1_struct_0(A), u1_orders_2(A), u1_robbins1(A))) ) ) ).
fof(dt_l2_qmax_1, axiom,  (! [A] :  (l2_qmax_1(A) =>  (l1_orders_2(A) & l1_robbins1(A)) ) ) ).
fof(existence_l2_qmax_1, axiom,  (? [A] : l2_qmax_1(A)) ).
fof(dt_g2_qmax_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (v1_funct_1(C) &  (v1_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (v3_qmax_1(g2_qmax_1(A, B, C)) & l2_qmax_1(g2_qmax_1(A, B, C))) ) ) ).
fof(free_g2_qmax_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (v1_funct_1(C) &  (v1_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [D, E, F] :  (g2_qmax_1(A, B, C)=g2_qmax_1(D, E, F) =>  (A=D &  (B=E & C=F) ) ) ) ) ) ).
fof(dt_k6_qmax_1, axiom,  (! [A, B] :  ( ( (v2_qmax_1(A) & l1_qmax_1(A))  & m1_subset_1(B, k5_qmax_1(A)))  => m1_subset_1(k6_qmax_1(A, B), k2_qmax_1(A))) ) ).
fof(redefinition_k6_qmax_1, axiom,  (! [A, B] :  ( ( (v2_qmax_1(A) & l1_qmax_1(A))  & m1_subset_1(B, k5_qmax_1(A)))  => k6_qmax_1(A, B)=k1_xtuple_0(B)) ) ).
fof(dt_k7_qmax_1, axiom,  (! [A, B] :  ( ( (v2_qmax_1(A) & l1_qmax_1(A))  & m1_subset_1(B, k5_qmax_1(A)))  => m1_prob_1(k7_qmax_1(A, B), k1_numbers, k12_prob_1)) ) ).
fof(redefinition_k7_qmax_1, axiom,  (! [A, B] :  ( ( (v2_qmax_1(A) & l1_qmax_1(A))  & m1_subset_1(B, k5_qmax_1(A)))  => k7_qmax_1(A, B)=k2_xtuple_0(B)) ) ).
fof(dt_k8_qmax_1, axiom,  (! [A, B] :  ( ( (v2_qmax_1(A) & l1_qmax_1(A))  & m1_subset_1(B, k5_qmax_1(A)))  => m1_subset_1(k8_qmax_1(A, B), k5_qmax_1(A))) ) ).
fof(involutiveness_k8_qmax_1, axiom,  (! [A, B] :  ( ( (v2_qmax_1(A) & l1_qmax_1(A))  & m1_subset_1(B, k5_qmax_1(A)))  => k8_qmax_1(A, k8_qmax_1(A, B))=B) ) ).
fof(reflexivity_r3_qmax_1, axiom,  (! [A, B, C] :  ( ( (v2_qmax_1(A) & l1_qmax_1(A))  &  (m1_subset_1(B, k5_qmax_1(A)) & m1_subset_1(C, k5_qmax_1(A))) )  => r3_qmax_1(A, B, B)) ) ).
fof(symmetry_r4_qmax_1, axiom,  (! [A, B, C] :  ( ( (v2_qmax_1(A) & l1_qmax_1(A))  &  (m1_subset_1(B, k5_qmax_1(A)) & m1_subset_1(C, k5_qmax_1(A))) )  =>  (r4_qmax_1(A, B, C) => r4_qmax_1(A, C, B)) ) ) ).
fof(reflexivity_r4_qmax_1, axiom,  (! [A, B, C] :  ( ( (v2_qmax_1(A) & l1_qmax_1(A))  &  (m1_subset_1(B, k5_qmax_1(A)) & m1_subset_1(C, k5_qmax_1(A))) )  => r4_qmax_1(A, B, B)) ) ).
fof(dt_k9_qmax_1, axiom,  (! [A] :  ( (v2_qmax_1(A) & l1_qmax_1(A))  =>  (v3_relat_2(k9_qmax_1(A)) &  (v8_relat_2(k9_qmax_1(A)) &  (v1_partfun1(k9_qmax_1(A), k5_qmax_1(A)) & m1_subset_1(k9_qmax_1(A), k1_zfmisc_1(k2_zfmisc_1(k5_qmax_1(A), k5_qmax_1(A))))) ) ) ) ) ).
fof(dt_k10_qmax_1, axiom,  (! [A] :  ( (v2_qmax_1(A) & l1_qmax_1(A))  => m1_subset_1(k10_qmax_1(A), k1_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(k5_qmax_1(A), k9_qmax_1(A)), k8_eqrel_1(k5_qmax_1(A), k9_qmax_1(A)))))) ) ).
fof(dt_k11_qmax_1, axiom,  (! [A] :  ( (v2_qmax_1(A) & l1_qmax_1(A))  =>  (v1_funct_1(k11_qmax_1(A)) &  (v1_funct_2(k11_qmax_1(A), k8_eqrel_1(k5_qmax_1(A), k9_qmax_1(A)), k8_eqrel_1(k5_qmax_1(A), k9_qmax_1(A))) & m1_subset_1(k11_qmax_1(A), k1_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(k5_qmax_1(A), k9_qmax_1(A)), k8_eqrel_1(k5_qmax_1(A), k9_qmax_1(A)))))) ) ) ) ).
fof(rc1_quantal1, axiom,  (? [A] :  (l1_quantal1(A) & v2_quantal1(A)) ) ).
fof(rc2_quantal1, axiom,  (? [A] :  (l1_quantal1(A) &  ~ (v2_struct_0(A)) ) ) ).
fof(rc3_quantal1, axiom,  (? [A] :  (l2_quantal1(A) & v3_quantal1(A)) ) ).
fof(rc4_quantal1, axiom,  (? [A] :  (l2_quantal1(A) &  ~ (v2_struct_0(A)) ) ) ).
fof(cc1_quantal1, axiom,  (! [A] :  (l3_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  & v6_quantal1(A))  =>  ( ~ (v2_struct_0(A))  &  (v4_quantal1(A) & v5_quantal1(A)) ) ) ) ) ).
fof(cc2_quantal1, axiom,  (! [A] :  (l3_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v4_quantal1(A) & v5_quantal1(A)) )  =>  ( ~ (v2_struct_0(A))  & v6_quantal1(A)) ) ) ) ).
fof(rc5_quantal1, axiom,  (? [A] :  (l3_algstr_0(A) &  ( ~ (v2_struct_0(A))  & v6_quantal1(A)) ) ) ).
fof(fc1_quantal1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) ) ) )  =>  ( ~ (v2_struct_0(g1_quantal1(A, B, C, D)))  & v2_quantal1(g1_quantal1(A, B, C, D))) ) ) ).
fof(rc6_quantal1, axiom,  (? [A] :  (l1_quantal1(A) &  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v6_quantal1(A) &  (v7_quantal1(A) & v8_quantal1(A)) ) ) ) ) ) ) ) ) ) ).
fof(fc2_quantal1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & m1_subset_1(E, A)) ) ) )  =>  ( ~ (v2_struct_0(g2_quantal1(A, B, C, D, E)))  & v3_quantal1(g2_quantal1(A, B, C, D, E))) ) ) ).
fof(rc7_quantal1, axiom,  (? [A] :  (l2_quantal1(A) &  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & v4_lattice3(A)) ) ) ) ).
fof(cc3_quantal1, axiom,  (! [A] :  (l2_quantal1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v7_quantal1(A) & v8_quantal1(A)) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v9_quantal1(A) & v10_quantal1(A)) ) ) ) ) ) ) ).
fof(rc8_quantal1, axiom,  (? [A] :  (l2_quantal1(A) &  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_quantal1(A) &  (v6_quantal1(A) &  (v7_quantal1(A) & v8_quantal1(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc9_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v12_quantal1(B, A) &  (v13_quantal1(B, A) & v14_quantal1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc10_quantal1, axiom,  (? [A] :  (l3_quantal1(A) & v19_quantal1(A)) ) ).
fof(rc11_quantal1, axiom,  (? [A] :  (l3_quantal1(A) &  ~ (v2_struct_0(A)) ) ) ).
fof(fc3_quantal1, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (m1_subset_1(E, A) & m1_subset_1(F, A)) ) ) ) )  =>  ( ~ (v2_struct_0(g3_quantal1(A, B, C, D, E, F)))  & v19_quantal1(g3_quantal1(A, B, C, D, E, F))) ) ) ).
fof(rc12_quantal1, axiom,  (? [A] :  (l3_quantal1(A) &  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v7_quantal1(A) &  (v8_quantal1(A) &  (v19_quantal1(A) &  (v20_quantal1(A) & v21_quantal1(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_lattices(B))  =>  (g3_lattices(u1_struct_0(A), u2_lattices(A), u1_lattices(A))=g3_lattices(u1_struct_0(B), u2_lattices(B), u1_lattices(B)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( (C=E & D=F)  =>  (k1_lattices(A, C, D)=k1_lattices(B, E, F) &  (k2_lattices(A, C, D)=k2_lattices(B, E, F) &  ( (r1_lattices(A, C, D) => r1_lattices(B, E, F))  &  (r1_lattices(B, E, F) => r1_lattices(A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_lattices(B))  =>  (g3_lattices(u1_struct_0(A), u2_lattices(A), u1_lattices(A))=g3_lattices(u1_struct_0(B), u2_lattices(B), u1_lattices(B)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (C=D =>  ( (r3_lattice3(A, C, E) => r3_lattice3(B, D, E))  &  ( (r3_lattice3(B, D, E) => r3_lattice3(A, C, E))  &  ( (r4_lattice3(A, C, E) => r4_lattice3(B, D, E))  &  (r4_lattice3(B, D, E) => r4_lattice3(A, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_quantal1(B, A) <=>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(B)))  =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (r1_lattices(A, k15_lattice3(A, C), D) & r2_tarski(D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t3_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v1_quantal1(B, A) & v1_xboole_0(B)) ) ) ) ) ) ).
fof(d2_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (v4_quantal1(A) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k6_algstr_0(A, B, C)=B) ) ) ) ) ) ) ).
fof(d3_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (v5_quantal1(A) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k6_algstr_0(A, C, B)=B) ) ) ) ) ) ) ).
fof(d4_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (v6_quantal1(A) <=>  (v4_quantal1(A) & v5_quantal1(A)) ) ) ) ).
fof(d7_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_quantal1(A))  =>  (v9_quantal1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k6_algstr_0(A, k1_lattices(A, B, C), D)=k1_lattices(A, k6_algstr_0(A, B, D), k6_algstr_0(A, C, D)) & k6_algstr_0(A, D, k1_lattices(A, B, C))=k1_lattices(A, k6_algstr_0(A, D, B), k6_algstr_0(A, D, C))) ) ) ) ) ) ) ) ) ) ).
fof(t4_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_quantal1(A))  =>  (g3_lattices(u1_struct_0(A), u2_lattices(A), u1_lattices(A))=k1_lattice3(k1_xboole_0) =>  (v3_group_1(A) &  (v5_group_1(A) &  (v1_group_1(A) &  (v6_quantal1(A) &  (v4_lattice3(A) &  (v7_quantal1(A) &  (v8_quantal1(A) & v10_lattices(A)) ) ) ) ) ) ) ) ) ) ).
fof(t6_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v7_quantal1(A) &  (v8_quantal1(A) & l1_quantal1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k6_algstr_0(A, k3_lattices(A, B, C), D)=k3_lattices(A, k6_algstr_0(A, B, D), k6_algstr_0(A, C, D)) & k6_algstr_0(A, D, k3_lattices(A, B, C))=k3_lattices(A, k6_algstr_0(A, D, B), k6_algstr_0(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(t7_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l2_quantal1(A)) )  =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v3_group_1(A) &  (v7_quantal1(A) &  (v8_quantal1(A) & l1_quantal1(A)) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v4_quantal1(A) &  (v6_quantal1(A) &  (v9_quantal1(A) &  (v10_quantal1(A) & l2_quantal1(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v3_group_1(A) &  (v7_quantal1(A) &  (v8_quantal1(A) & l1_quantal1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r3_lattices(A, B, C) =>  (r3_lattices(A, k6_algstr_0(A, B, D), k6_algstr_0(A, C, D)) & r3_lattices(A, k6_algstr_0(A, D, B), k6_algstr_0(A, D, C))) ) ) ) ) ) ) ) ) ) ).
fof(t9_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v3_group_1(A) &  (v7_quantal1(A) &  (v8_quantal1(A) & l1_quantal1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r3_lattices(A, B, C) & r3_lattices(A, D, E))  => r3_lattices(A, k6_algstr_0(A, B, D), k6_algstr_0(A, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_quantal1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v11_quantal1(A) <=> k3_relat_1(A, A)=A) ) ) ).
fof(d10_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (v12_quantal1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_lattices(A, C, k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, C))) ) ) ) ) ) ) ).
fof(d11_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (v13_quantal1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_lattices(A, k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, C), C)) ) ) ) ) ) ) ).
fof(d12_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (v14_quantal1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_lattices(A, C, D) => r1_lattices(A, k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, C), k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, D))) ) ) ) ) ) ) ) ) ) ).
fof(d14_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_quantal1(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (v16_quantal1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_lattices(A, k6_algstr_0(A, k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, C), k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, D)), k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, k6_algstr_0(A, C, D)))) ) ) ) ) ) ) ) ) ).
fof(t11_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v3_group_1(A) &  (v7_quantal1(A) &  (v8_quantal1(A) & l1_quantal1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r3_lattices(A, k6_algstr_0(A, B, C), D) <=> r3_lattices(A, C, k2_quantal1(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t12_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v3_group_1(A) &  (v7_quantal1(A) &  (v8_quantal1(A) & l1_quantal1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r3_lattices(A, k6_algstr_0(A, B, C), D) <=> r3_lattices(A, B, k1_quantal1(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t13_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v3_group_1(A) &  (v7_quantal1(A) &  (v8_quantal1(A) & l1_quantal1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r3_lattices(A, C, D) =>  (r3_lattices(A, k1_quantal1(A, D, B), k1_quantal1(A, C, B)) & r3_lattices(A, k2_quantal1(A, D, B), k2_quantal1(A, C, B))) ) ) ) ) ) ) ) ) ) ).
fof(t14_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v3_group_1(A) &  (v7_quantal1(A) &  (v8_quantal1(A) & l1_quantal1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(A), C, D)=k1_quantal1(A, k1_quantal1(A, D, B), B)) )  => v14_quantal1(C, A)) ) ) ) ) ) ) ).
fof(d17_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_quantal1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v17_quantal1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k2_quantal1(A, k1_quantal1(A, C, B), B)=C & k1_quantal1(A, k2_quantal1(A, C, B), B)=C) ) ) ) ) ) ) ) ).
fof(d18_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_quantal1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v18_quantal1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_quantal1(A, C, B)=k2_quantal1(A, C, B)) ) ) ) ) ) ) ).
fof(t15_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v3_group_1(A) &  (v7_quantal1(A) &  (v8_quantal1(A) & l1_quantal1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v18_quantal1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r3_lattices(A, k6_algstr_0(A, C, D), B) => r3_lattices(A, k6_algstr_0(A, D, C), B)) ) ) ) ) ) ) ) ) ) ).
fof(t16_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v3_group_1(A) &  (v7_quantal1(A) &  (v8_quantal1(A) & l1_quantal1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v18_quantal1(B, A) =>  (r3_lattices(A, C, k1_quantal1(A, k1_quantal1(A, C, B), B)) & r3_lattices(A, C, k2_quantal1(A, k2_quantal1(A, C, B), B))) ) ) ) ) ) ) ) ).
fof(t17_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v3_group_1(A) &  (v7_quantal1(A) &  (v8_quantal1(A) & l1_quantal1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v18_quantal1(B, A) =>  (k1_quantal1(A, C, B)=k1_quantal1(A, k1_quantal1(A, k1_quantal1(A, C, B), B), B) & k2_quantal1(A, C, B)=k2_quantal1(A, k2_quantal1(A, k2_quantal1(A, C, B), B), B)) ) ) ) ) ) ) ) ).
fof(t18_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v3_group_1(A) &  (v7_quantal1(A) &  (v8_quantal1(A) & l1_quantal1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r3_lattices(A, k6_algstr_0(A, k1_quantal1(A, k1_quantal1(A, C, B), B), k1_quantal1(A, k1_quantal1(A, D, B), B)), k1_quantal1(A, k1_quantal1(A, k6_algstr_0(A, C, D), B), B))) ) ) ) ) ) ) ) ).
fof(t19_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v3_group_1(A) &  (v7_quantal1(A) &  (v8_quantal1(A) & l1_quantal1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v17_quantal1(B, A) =>  (v1_group_1(A) &  (k3_binop_1(u1_struct_0(A), u2_algstr_0(A))=k1_quantal1(A, B, B) & k3_binop_1(u1_struct_0(A), u2_algstr_0(A))=k2_quantal1(A, B, B)) ) ) ) ) ) ) ).
fof(t20_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v3_group_1(A) &  (v7_quantal1(A) &  (v8_quantal1(A) & l1_quantal1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (v17_quantal1(B, A) =>  (k1_quantal1(A, C, D)=k1_quantal1(A, k6_algstr_0(A, C, k2_quantal1(A, D, B)), B) & k2_quantal1(A, C, D)=k2_quantal1(A, k6_algstr_0(A, k1_quantal1(A, D, B), C), B)) ) ) ) ) ) ) ) ) ) ).
fof(d19_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_quantal1(A))  =>  (v20_quantal1(A) <=> v18_quantal1(u1_quantal1(A), A)) ) ) ).
fof(d20_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_quantal1(A))  =>  (v21_quantal1(A) <=> v17_quantal1(u1_quantal1(A), A)) ) ) ).
fof(t21_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_quantal1(A))  =>  (g3_lattices(u1_struct_0(A), u2_lattices(A), u1_lattices(A))=k1_lattice3(k1_xboole_0) =>  (v20_quantal1(A) & v21_quantal1(A)) ) ) ) ).
fof(d21_quantal1, axiom,  (! [A] :  (l3_quantal1(A) => k3_quantal1(A)=u1_quantal1(A)) ) ).
fof(d22_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_quantal1(A))  => k4_quantal1(A)=k1_quantal1(A, k3_quantal1(A), k3_quantal1(A))) ) ).
fof(d23_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_quantal1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_quantal1(A, B)=k1_quantal1(A, B, k3_quantal1(A))) ) ) ) ).
fof(d24_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_quantal1(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (B=k6_quantal1(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, C)=k5_quantal1(A, C)) ) ) ) ) ) ) ).
fof(d25_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_quantal1(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  => k7_quantal1(A, B)=k1_partfun1(u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), B, k6_quantal1(A))) ) ) ) ).
fof(d26_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_quantal1(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A))))) )  => k8_quantal1(A, B)=k1_partfun1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A), u1_struct_0(A), u1_struct_0(A), B, k6_quantal1(A))) ) ) ) ).
fof(t22_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v7_quantal1(A) &  (v8_quantal1(A) &  (v20_quantal1(A) &  (v21_quantal1(A) & l3_quantal1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_quantal1(A, k5_quantal1(A, B))=B) ) ) ) ).
fof(t23_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v7_quantal1(A) &  (v8_quantal1(A) &  (v20_quantal1(A) &  (v21_quantal1(A) & l3_quantal1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_lattices(A, B, C) => r3_lattices(A, k5_quantal1(A, C), k5_quantal1(A, B))) ) ) ) ) ) ) ).
fof(t26_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v7_quantal1(A) &  (v8_quantal1(A) &  (v20_quantal1(A) &  (v21_quantal1(A) & l3_quantal1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k5_quantal1(A, k3_lattices(A, B, C))=k4_lattices(A, k5_quantal1(A, B), k5_quantal1(A, C)) & k5_quantal1(A, k4_lattices(A, B, C))=k3_lattices(A, k5_quantal1(A, B), k5_quantal1(A, C))) ) ) ) ) ) ) ).
fof(d27_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v7_quantal1(A) &  (v8_quantal1(A) &  (v20_quantal1(A) &  (v21_quantal1(A) & l3_quantal1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k9_quantal1(A, B, C)=k5_quantal1(A, k6_algstr_0(A, k5_quantal1(A, B), k5_quantal1(A, C)))) ) ) ) ) ) ).
fof(t29_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v7_quantal1(A) &  (v8_quantal1(A) &  (v20_quantal1(A) &  (v21_quantal1(A) & l3_quantal1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k9_quantal1(A, B, k4_lattices(A, C, D))=k4_lattices(A, k9_quantal1(A, B, C), k9_quantal1(A, B, D)) & k9_quantal1(A, k4_lattices(A, C, D), B)=k4_lattices(A, k9_quantal1(A, C, B), k9_quantal1(A, D, B))) ) ) ) ) ) ) ) ) ).
fof(t30_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v7_quantal1(A) &  (v8_quantal1(A) &  (v20_quantal1(A) &  (v21_quantal1(A) & l3_quantal1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r3_lattices(A, B, D) & r3_lattices(A, C, E))  => r3_lattices(A, k9_quantal1(A, B, C), k9_quantal1(A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v7_quantal1(A) &  (v8_quantal1(A) &  (v20_quantal1(A) &  (v21_quantal1(A) & l3_quantal1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k9_quantal1(A, k9_quantal1(A, B, C), D)=k9_quantal1(A, B, k9_quantal1(A, C, D))) ) ) ) ) ) ) ) ).
fof(t32_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v7_quantal1(A) &  (v8_quantal1(A) &  (v20_quantal1(A) &  (v21_quantal1(A) & l3_quantal1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k6_algstr_0(A, B, k4_quantal1(A))=B & k6_algstr_0(A, k4_quantal1(A), B)=B) ) ) ) ) ).
fof(t33_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v7_quantal1(A) &  (v8_quantal1(A) &  (v20_quantal1(A) &  (v21_quantal1(A) & l3_quantal1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k9_quantal1(A, B, k3_quantal1(A))=B & k9_quantal1(A, k3_quantal1(A), B)=B) ) ) ) ) ).
fof(t34_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v3_group_1(A) &  (v7_quantal1(A) &  (v8_quantal1(A) & l1_quantal1(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  ~ ( (v14_quantal1(B, A) &  (v11_quantal1(B) &  (v15_quantal1(B, A) &  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v10_lattices(C) &  (v4_lattice3(C) & l3_lattices(C)) ) )  =>  ~ ( (u1_struct_0(C)=k2_relset_1(u1_struct_0(A), B) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(C))) => k15_lattice3(C, D)=k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, k15_lattice3(A, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_f1_s1_quantal1, axiom,  ~ (v1_xboole_0(f1_s1_quantal1)) ).
fof(dt_f2_s1_quantal1, axiom,  ~ (v1_xboole_0(f2_s1_quantal1)) ).
fof(dt_f4_s1_quantal1, axiom,  (! [A] : m1_subset_1(f4_s1_quantal1(A), f2_s1_quantal1)) ).
fof(dt_f1_s2_quantal1, axiom,  ~ (v1_xboole_0(f1_s2_quantal1)) ).
fof(abstractness_v2_quantal1, axiom,  (! [A] :  (l1_quantal1(A) =>  (v2_quantal1(A) => A=g1_quantal1(u1_struct_0(A), u2_lattices(A), u1_lattices(A), u2_algstr_0(A))) ) ) ).
fof(dt_l1_quantal1, axiom,  (! [A] :  (l1_quantal1(A) =>  (l3_lattices(A) & l3_algstr_0(A)) ) ) ).
fof(existence_l1_quantal1, axiom,  (? [A] : l1_quantal1(A)) ).
fof(dt_g1_quantal1, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) ) )  =>  (v2_quantal1(g1_quantal1(A, B, C, D)) & l1_quantal1(g1_quantal1(A, B, C, D))) ) ) ).
fof(free_g1_quantal1, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) ) )  =>  (! [E, F, G, H] :  (g1_quantal1(A, B, C, D)=g1_quantal1(E, F, G, H) =>  (A=E &  (B=F &  (C=G & D=H) ) ) ) ) ) ) ).
fof(abstractness_v3_quantal1, axiom,  (! [A] :  (l2_quantal1(A) =>  (v3_quantal1(A) => A=g2_quantal1(u1_struct_0(A), u2_lattices(A), u1_lattices(A), u2_algstr_0(A), u3_struct_0(A))) ) ) ).
fof(dt_l2_quantal1, axiom,  (! [A] :  (l2_quantal1(A) =>  (l1_quantal1(A) & l4_algstr_0(A)) ) ) ).
fof(existence_l2_quantal1, axiom,  (? [A] : l2_quantal1(A)) ).
fof(dt_g2_quantal1, axiom,  (! [A, B, C, D, E] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & m1_subset_1(E, A)) ) )  =>  (v3_quantal1(g2_quantal1(A, B, C, D, E)) & l2_quantal1(g2_quantal1(A, B, C, D, E))) ) ) ).
fof(free_g2_quantal1, axiom,  (! [A, B, C, D, E] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & m1_subset_1(E, A)) ) )  =>  (! [F, G, H, I, J] :  (g2_quantal1(A, B, C, D, E)=g2_quantal1(F, G, H, I, J) =>  (A=F &  (B=G &  (C=H &  (D=I & E=J) ) ) ) ) ) ) ) ).
fof(dt_f1_s3_quantal1, axiom,  ( ~ (v2_struct_0(f1_s3_quantal1))  &  (v10_lattices(f1_s3_quantal1) &  (v4_lattice3(f1_s3_quantal1) & l1_quantal1(f1_s3_quantal1)) ) ) ).
fof(dt_f2_s3_quantal1, axiom,  (! [A, B] : m1_subset_1(f2_s3_quantal1(A, B), u1_struct_0(f1_s3_quantal1))) ).
fof(dt_k1_quantal1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_quantal1(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k1_quantal1(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k2_quantal1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_quantal1(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k2_quantal1(A, B, C), u1_struct_0(A))) ) ).
fof(abstractness_v19_quantal1, axiom,  (! [A] :  (l3_quantal1(A) =>  (v19_quantal1(A) => A=g3_quantal1(u1_struct_0(A), u2_lattices(A), u1_lattices(A), u2_algstr_0(A), u3_struct_0(A), u1_quantal1(A))) ) ) ).
fof(dt_l3_quantal1, axiom,  (! [A] :  (l3_quantal1(A) => l2_quantal1(A)) ) ).
fof(existence_l3_quantal1, axiom,  (? [A] : l3_quantal1(A)) ).
fof(dt_g3_quantal1, axiom,  (! [A, B, C, D, E, F] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (m1_subset_1(E, A) & m1_subset_1(F, A)) ) ) )  =>  (v19_quantal1(g3_quantal1(A, B, C, D, E, F)) & l3_quantal1(g3_quantal1(A, B, C, D, E, F))) ) ) ).
fof(free_g3_quantal1, axiom,  (! [A, B, C, D, E, F] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (m1_subset_1(E, A) & m1_subset_1(F, A)) ) ) )  =>  (! [G, H, I, J, K, L] :  (g3_quantal1(A, B, C, D, E, F)=g3_quantal1(G, H, I, J, K, L) =>  (A=G &  (B=H &  (C=I &  (D=J &  (E=K & F=L) ) ) ) ) ) ) ) ) ).
fof(dt_u1_quantal1, axiom,  (! [A] :  (l3_quantal1(A) => m1_subset_1(u1_quantal1(A), u1_struct_0(A))) ) ).
fof(dt_k3_quantal1, axiom,  (! [A] :  (l3_quantal1(A) => m1_subset_1(k3_quantal1(A), u1_struct_0(A))) ) ).
fof(dt_k4_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_quantal1(A))  => m1_subset_1(k4_quantal1(A), u1_struct_0(A))) ) ).
fof(dt_k5_quantal1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l3_quantal1(A))  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k5_quantal1(A, B), u1_struct_0(A))) ) ).
fof(dt_k6_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_quantal1(A))  =>  (v1_funct_1(k6_quantal1(A)) &  (v1_funct_2(k6_quantal1(A), u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(k6_quantal1(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ).
fof(dt_k7_quantal1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l3_quantal1(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) )  =>  (v1_funct_1(k7_quantal1(A, B)) &  (v1_funct_2(k7_quantal1(A, B), u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(k7_quantal1(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ).
fof(dt_k8_quantal1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l3_quantal1(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A))))) ) )  =>  (v1_funct_1(k8_quantal1(A, B)) &  (v1_funct_2(k8_quantal1(A, B), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(k8_quantal1(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(dt_k9_quantal1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v7_quantal1(A) &  (v8_quantal1(A) &  (v20_quantal1(A) &  (v21_quantal1(A) & l3_quantal1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k9_quantal1(A, B, C), u1_struct_0(A))) ) ).
fof(d5_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_quantal1(A))  =>  (v7_quantal1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] : k6_algstr_0(A, B, k15_lattice3(A, C))=k15_lattice3(A, a_3_0_quantal1(A, B, C))) ) ) ) ) ) ).
fof(d6_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_quantal1(A))  =>  (v8_quantal1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] : k6_algstr_0(A, k15_lattice3(A, C), B)=k15_lattice3(A, a_3_1_quantal1(A, B, C))) ) ) ) ) ) ).
fof(d8_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_quantal1(A))  =>  (v10_quantal1(A) <=>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_quantal1(B, A) & v1_quantal1(C, A))  => k6_algstr_0(A, k15_lattice3(A, B), k15_lattice3(A, C))=k15_lattice3(A, a_3_2_quantal1(A, B, C))) ) ) ) ) ) ) ) ).
fof(t5_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v7_quantal1(A) &  (v8_quantal1(A) & l1_quantal1(A)) ) ) ) )  =>  (! [B] :  (! [C] : k6_algstr_0(A, k15_lattice3(A, B), k15_lattice3(A, C))=k15_lattice3(A, a_3_3_quantal1(A, B, C))) ) ) ) ).
fof(d13_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (v15_quantal1(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => r1_lattices(A, k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, k15_lattice3(A, C)), k15_lattice3(A, a_3_4_quantal1(A, B, C)))) ) ) ) ) ) ) ).
fof(t10_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) & l3_lattices(A)) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (v14_quantal1(B, A) =>  (v15_quantal1(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, k15_lattice3(A, C))=k15_lattice3(A, a_3_5_quantal1(A, B, C))) ) ) ) ) ) ) ) ).
fof(d15_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_quantal1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_quantal1(A, B, C)=k15_lattice3(A, a_3_6_quantal1(A, B, C))) ) ) ) ) ) ).
fof(d16_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_quantal1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_quantal1(A, B, C)=k15_lattice3(A, a_3_7_quantal1(A, B, C))) ) ) ) ) ) ).
fof(t24_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v7_quantal1(A) &  (v8_quantal1(A) &  (v20_quantal1(A) &  (v21_quantal1(A) & l3_quantal1(A)) ) ) ) ) ) ) ) )  =>  (! [B] : k5_quantal1(A, k15_lattice3(A, B))=k16_lattice3(A, a_2_0_quantal1(A, B))) ) ) ).
fof(t25_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v7_quantal1(A) &  (v8_quantal1(A) &  (v20_quantal1(A) &  (v21_quantal1(A) & l3_quantal1(A)) ) ) ) ) ) ) ) )  =>  (! [B] : k5_quantal1(A, k16_lattice3(A, B))=k15_lattice3(A, a_2_0_quantal1(A, B))) ) ) ).
fof(t27_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v7_quantal1(A) &  (v8_quantal1(A) &  (v20_quantal1(A) &  (v21_quantal1(A) & l3_quantal1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (k6_algstr_0(A, B, k15_lattice3(A, C))=k15_lattice3(A, a_3_8_quantal1(A, B, C)) & k9_quantal1(A, B, k16_lattice3(A, C))=k16_lattice3(A, a_3_9_quantal1(A, B, C))) ) ) ) ) ) ).
fof(t28_quantal1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_lattice3(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v7_quantal1(A) &  (v8_quantal1(A) &  (v20_quantal1(A) &  (v21_quantal1(A) & l3_quantal1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (k6_algstr_0(A, k15_lattice3(A, C), B)=k15_lattice3(A, a_3_10_quantal1(A, B, C)) & k9_quantal1(A, k16_lattice3(A, C), B)=k16_lattice3(A, a_3_11_quantal1(A, B, C))) ) ) ) ) ) ).
fof(s1_quantal1, axiom, a_0_0_quantal1=a_0_2_quantal1).
fof(s2_quantal1, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s2_quantal1) =>  ~ (p1_s2_quantal1(A)) ) )  => a_0_3_quantal1=k1_xboole_0) ).
fof(s3_quantal1, axiom, k15_lattice3(f1_s3_quantal1, a_0_4_quantal1)=k15_lattice3(f1_s3_quantal1, a_0_5_quantal1)).
fof(fraenkel_a_3_0_quantal1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  & l1_quantal1(B))  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_3_0_quantal1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k6_algstr_0(B, C, E) & r2_tarski(E, D)) ) ) ) ) ) ).
fof(fraenkel_a_3_1_quantal1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  & l1_quantal1(B))  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_3_1_quantal1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k6_algstr_0(B, E, C) & r2_tarski(E, D)) ) ) ) ) ) ).
fof(fraenkel_a_3_2_quantal1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  & l1_quantal1(B))  &  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (r2_hidden(A, a_3_2_quantal1(B, C, D)) <=>  (? [E, F] :  ( (m1_subset_1(E, u1_struct_0(B)) & m1_subset_1(F, u1_struct_0(B)))  &  (A=k6_algstr_0(B, E, F) &  (r2_tarski(E, C) & r2_tarski(F, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_3_quantal1, axiom,  (! [A, B, C, D] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v4_lattice3(B) &  (v7_quantal1(B) &  (v8_quantal1(B) & l1_quantal1(B)) ) ) ) )  =>  (r2_hidden(A, a_3_3_quantal1(B, C, D)) <=>  (? [E, F] :  ( (m1_subset_1(E, u1_struct_0(B)) & m1_subset_1(F, u1_struct_0(B)))  &  (A=k6_algstr_0(B, E, F) &  (r2_tarski(E, C) & r2_tarski(F, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_4_quantal1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  & l3_lattices(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))))) )  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (r2_hidden(A, a_3_4_quantal1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k3_funct_2(u1_struct_0(B), u1_struct_0(B), C, E) & r2_tarski(E, D)) ) ) ) ) ) ).
fof(fraenkel_a_3_5_quantal1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v4_lattice3(B) & l3_lattices(B)) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))))) )  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (r2_hidden(A, a_3_5_quantal1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k3_funct_2(u1_struct_0(B), u1_struct_0(B), C, E) & r2_tarski(E, D)) ) ) ) ) ) ).
fof(fraenkel_a_3_6_quantal1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  & l1_quantal1(B))  &  (m1_subset_1(C, u1_struct_0(B)) & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_6_quantal1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E & r1_lattices(B, k6_algstr_0(B, E, C), D)) ) ) ) ) ) ).
fof(fraenkel_a_3_7_quantal1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  & l1_quantal1(B))  &  (m1_subset_1(C, u1_struct_0(B)) & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_7_quantal1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E & r1_lattices(B, k6_algstr_0(B, C, E), D)) ) ) ) ) ) ).
fof(fraenkel_a_2_0_quantal1, axiom,  (! [A, B, C] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v4_lattice3(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v7_quantal1(B) &  (v8_quantal1(B) &  (v20_quantal1(B) &  (v21_quantal1(B) & l3_quantal1(B)) ) ) ) ) ) ) ) )  =>  (r2_hidden(A, a_2_0_quantal1(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=k5_quantal1(B, D) & r2_tarski(D, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_8_quantal1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v4_lattice3(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v7_quantal1(B) &  (v8_quantal1(B) &  (v20_quantal1(B) &  (v21_quantal1(B) & l3_quantal1(B)) ) ) ) ) ) ) ) )  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_3_8_quantal1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k6_algstr_0(B, C, E) & r2_tarski(E, D)) ) ) ) ) ) ).
fof(fraenkel_a_3_9_quantal1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v4_lattice3(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v7_quantal1(B) &  (v8_quantal1(B) &  (v20_quantal1(B) &  (v21_quantal1(B) & l3_quantal1(B)) ) ) ) ) ) ) ) )  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_3_9_quantal1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k9_quantal1(B, C, E) & r2_tarski(E, D)) ) ) ) ) ) ).
fof(fraenkel_a_3_10_quantal1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v4_lattice3(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v7_quantal1(B) &  (v8_quantal1(B) &  (v20_quantal1(B) &  (v21_quantal1(B) & l3_quantal1(B)) ) ) ) ) ) ) ) )  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_3_10_quantal1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k6_algstr_0(B, E, C) & r2_tarski(E, D)) ) ) ) ) ) ).
fof(fraenkel_a_3_11_quantal1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) &  (v4_lattice3(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v7_quantal1(B) &  (v8_quantal1(B) &  (v20_quantal1(B) &  (v21_quantal1(B) & l3_quantal1(B)) ) ) ) ) ) ) ) )  & m1_subset_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_3_11_quantal1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k9_quantal1(B, E, C) & r2_tarski(E, D)) ) ) ) ) ) ).
fof(fraenkel_a_0_0_quantal1, axiom,  (! [A] :  (r2_hidden(A, a_0_0_quantal1) <=>  (? [B] :  (m1_subset_1(B, f2_s1_quantal1) &  (A=f3_s1_quantal1(B) & r2_tarski(B, a_0_1_quantal1)) ) ) ) ) ).
fof(fraenkel_a_0_1_quantal1, axiom,  (! [A] :  (r2_hidden(A, a_0_1_quantal1) <=>  (? [B] :  (m1_subset_1(B, f1_s1_quantal1) &  (A=f4_s1_quantal1(B) & p1_s1_quantal1(B)) ) ) ) ) ).
fof(fraenkel_a_0_2_quantal1, axiom,  (! [A] :  (r2_hidden(A, a_0_2_quantal1) <=>  (? [B] :  (m1_subset_1(B, f1_s1_quantal1) &  (A=f3_s1_quantal1(f4_s1_quantal1(B)) & p1_s1_quantal1(B)) ) ) ) ) ).
fof(fraenkel_a_0_3_quantal1, axiom,  (! [A] :  (r2_hidden(A, a_0_3_quantal1) <=>  (? [B] :  (m1_subset_1(B, f1_s2_quantal1) &  (A=f2_s2_quantal1(B) & p1_s2_quantal1(B)) ) ) ) ) ).
fof(fraenkel_a_0_4_quantal1, axiom,  (! [A] :  (r2_hidden(A, a_0_4_quantal1) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(f1_s3_quantal1)) &  (A=k15_lattice3(f1_s3_quantal1, a_1_0_quantal1(B)) & r2_tarski(B, f3_s3_quantal1)) ) ) ) ) ).
fof(fraenkel_a_1_0_quantal1, axiom,  (! [A, B] :  (m1_subset_1(B, u1_struct_0(f1_s3_quantal1)) =>  (r2_hidden(A, a_1_0_quantal1(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(f1_s3_quantal1)) &  (A=f2_s3_quantal1(B, C) & r2_tarski(C, f4_s3_quantal1)) ) ) ) ) ) ).
fof(fraenkel_a_0_5_quantal1, axiom,  (! [A] :  (r2_hidden(A, a_0_5_quantal1) <=>  (? [B, C] :  ( (m1_subset_1(B, u1_struct_0(f1_s3_quantal1)) & m1_subset_1(C, u1_struct_0(f1_s3_quantal1)))  &  (A=f2_s3_quantal1(B, C) &  (r2_tarski(B, f3_s3_quantal1) & r2_tarski(C, f4_s3_quantal1)) ) ) ) ) ) ).
fof(fc1_quatern2, axiom,  (! [A, B] :  ( (v1_quaterni(A) & v1_quaterni(B))  => v1_quaterni(k4_quatern2(A, B))) ) ).
fof(fc2_quatern2, axiom,  ( ~ (v2_struct_0(k14_quatern2))  & v8_algstr_0(k14_quatern2)) ).
fof(cc1_quatern2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k14_quatern2)) => v1_quaterni(A)) ) ).
fof(ie1_quatern2, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, u1_struct_0(k14_quatern2)) &  (m1_subset_1(B, u1_struct_0(k14_quatern2)) &  (v1_quaterni(C) & v1_quaterni(D)) ) )  =>  ( (A=C & B=D)  => k1_algstr_0(k14_quatern2, A, B)=k21_quaterni(C, D)) ) ) ).
fof(fc3_quatern2, axiom,  (v8_algstr_0(k14_quatern2) &  (v13_algstr_0(k14_quatern2) &  (v2_rlvect_1(k14_quatern2) &  (v3_rlvect_1(k14_quatern2) & v4_rlvect_1(k14_quatern2)) ) ) ) ).
fof(ie2_quatern2, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k14_quatern2)) & v1_quaterni(B))  =>  (A=B => k4_algstr_0(k14_quatern2, A)=k23_quaterni(B)) ) ) ).
fof(ie3_quatern2, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, u1_struct_0(k14_quatern2)) &  (m1_subset_1(B, u1_struct_0(k14_quatern2)) &  (v1_quaterni(C) & v1_quaterni(D)) ) )  =>  ( (A=C & B=D)  => k5_algstr_0(k14_quatern2, A, B)=k24_quaterni(C, D)) ) ) ).
fof(fc4_quatern2, axiom,  ( ~ (v2_struct_0(k15_quatern2))  & v36_algstr_0(k15_quatern2)) ).
fof(cc2_quatern2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_quatern2)) => v1_quaterni(A)) ) ).
fof(ie4_quatern2, axiom,  (! [A, B, C, D] :  ( (v1_quaterni(A) &  (v1_quaterni(B) &  (m1_subset_1(C, u1_struct_0(k15_quatern2)) & m1_subset_1(D, u1_struct_0(k15_quatern2))) ) )  =>  ( (C=A & D=B)  => k1_algstr_0(k15_quatern2, C, D)=k21_quaterni(A, B)) ) ) ).
fof(ie5_quatern2, axiom,  (! [A, B, C, D] :  ( (v1_quaterni(A) &  (v1_quaterni(B) &  (m1_subset_1(C, u1_struct_0(k15_quatern2)) & m1_subset_1(D, u1_struct_0(k15_quatern2))) ) )  =>  ( (C=A & D=B)  => k6_algstr_0(k15_quatern2, C, D)=k22_quaterni(A, B)) ) ) ).
fof(fc5_quatern2, axiom,  (v36_algstr_0(k15_quatern2) & v4_vectsp_1(k15_quatern2)) ).
fof(fc6_quatern2, axiom,  ( ~ (v6_struct_0(k15_quatern2))  &  (v13_algstr_0(k15_quatern2) &  (v34_algstr_0(k15_quatern2) &  (v36_algstr_0(k15_quatern2) &  (v2_rlvect_1(k15_quatern2) &  (v3_rlvect_1(k15_quatern2) &  (v4_rlvect_1(k15_quatern2) &  (v3_vectsp_1(k15_quatern2) &  (v5_vectsp_1(k15_quatern2) &  (v6_vectsp_1(k15_quatern2) & v3_group_1(k15_quatern2)) ) ) ) ) ) ) ) ) ) ).
fof(ie6_quatern2, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k15_quatern2)) & v1_quaterni(B))  =>  (A=B => k4_algstr_0(k15_quatern2, A)=k23_quaterni(B)) ) ) ).
fof(ie7_quatern2, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, u1_struct_0(k15_quatern2)) &  (m1_subset_1(B, u1_struct_0(k15_quatern2)) &  (v1_quaterni(C) & v1_quaterni(D)) ) )  =>  ( (A=C & B=D)  => k5_algstr_0(k15_quatern2, A, B)=k24_quaterni(C, D)) ) ) ).
fof(t1_quatern2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => k5_quaterni(A, B, C, D)=k21_quaterni(k21_quaterni(k18_quaterni(A, k20_quaterni(B, k7_complex1)), k20_quaterni(C, k10_quaterni)), k20_quaterni(D, k11_quaterni))) ) ) ) ) ) ) ) ).
fof(t2_quatern2, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) => k21_quaterni(k21_quaterni(A, B), C)=k21_quaterni(A, k21_quaterni(B, C))) ) ) ) ) ) ).
fof(t3_quatern2, axiom,  (! [A] :  (v1_quaterni(A) => k21_quaterni(A, k1_quatern2)=A) ) ).
fof(t4_quatern2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => k23_quaterni(k5_quaterni(A, B, C, D))=k5_quaterni(k4_xcmplx_0(A), k4_xcmplx_0(B), k4_xcmplx_0(C), k4_xcmplx_0(D))) ) ) ) ) ) ) ) ).
fof(t5_quatern2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) => k24_quaterni(k5_quaterni(A, B, C, D), k5_quaterni(E, F, G, H))=k5_quaterni(k6_xcmplx_0(A, E), k6_xcmplx_0(B, F), k6_xcmplx_0(C, G), k6_xcmplx_0(D, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_quatern2, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) => k21_quaterni(k24_quaterni(A, B), C)=k24_quaterni(k21_quaterni(A, C), B)) ) ) ) ) ) ).
fof(t7_quatern2, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => A=k24_quaterni(k21_quaterni(A, B), B)) ) ) ) ).
fof(t8_quatern2, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => A=k21_quaterni(k24_quaterni(A, B), B)) ) ) ) ).
fof(t9_quatern2, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_xreal_0(B) => k20_quaterni(k4_xcmplx_0(B), A)=k23_quaterni(k20_quaterni(B, A))) ) ) ) ).
fof(t10_quatern2, axiom,  (! [A] :  (v1_quaterni(A) =>  ~ ( ( ~ (A=k5_numbers)  & r1_xxreal_0(k27_quaterni(A), k5_numbers)) ) ) ) ).
fof(t11_quatern2, axiom, k1_quatern2=k5_quaterni(k5_numbers, k5_numbers, k5_numbers, k5_numbers)).
fof(t12_quatern2, axiom,  (! [A] :  (v1_quaterni(A) => k22_quaterni(k1_quatern2, A)=k5_numbers) ) ).
fof(t13_quatern2, axiom,  (! [A] :  (v1_quaterni(A) => k22_quaterni(A, k1_quatern2)=k5_numbers) ) ).
fof(t14_quatern2, axiom,  (! [A] :  (v1_quaterni(A) => k22_quaterni(A, k2_quatern2)=A) ) ).
fof(t15_quatern2, axiom,  (! [A] :  (v1_quaterni(A) => k22_quaterni(k2_quatern2, A)=A) ) ).
fof(t16_quatern2, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) => k22_quaterni(k22_quaterni(A, B), C)=k22_quaterni(A, k22_quaterni(B, C))) ) ) ) ) ) ).
fof(t17_quatern2, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) => k22_quaterni(A, k21_quaterni(B, C))=k21_quaterni(k22_quaterni(A, B), k22_quaterni(A, C))) ) ) ) ) ) ).
fof(t18_quatern2, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) => k22_quaterni(k21_quaterni(A, B), C)=k21_quaterni(k22_quaterni(A, C), k22_quaterni(B, C))) ) ) ) ) ) ).
fof(t19_quatern2, axiom,  (! [A] :  (v1_quaterni(A) => k23_quaterni(A)=k22_quaterni(k23_quaterni(k2_quatern2), A)) ) ).
fof(t20_quatern2, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => k22_quaterni(k23_quaterni(A), B)=k23_quaterni(k22_quaterni(A, B))) ) ) ) ).
fof(t21_quatern2, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => k22_quaterni(A, k23_quaterni(B))=k23_quaterni(k22_quaterni(A, B))) ) ) ) ).
fof(t22_quatern2, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => k22_quaterni(k23_quaterni(A), k23_quaterni(B))=k22_quaterni(A, B)) ) ) ) ).
fof(t23_quatern2, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) => k22_quaterni(k24_quaterni(A, B), C)=k24_quaterni(k22_quaterni(A, C), k22_quaterni(B, C))) ) ) ) ) ) ).
fof(t24_quatern2, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) => k22_quaterni(A, k24_quaterni(B, C))=k24_quaterni(k22_quaterni(A, B), k22_quaterni(A, C))) ) ) ) ) ) ).
fof(t25_quatern2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => k26_quaterni(k5_quaterni(A, B, C, D))=k5_quaterni(A, k4_xcmplx_0(B), k4_xcmplx_0(C), k4_xcmplx_0(D))) ) ) ) ) ) ) ) ).
fof(t26_quatern2, axiom,  (! [A] :  (v1_quaterni(A) => k26_quaterni(k26_quaterni(A))=A) ) ).
fof(d1_quatern2, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (C=k4_quatern2(A, B) <=>  (? [D] :  (m1_subset_1(D, k1_numbers) &  (? [E] :  (m1_subset_1(E, k1_numbers) &  (? [F] :  (m1_subset_1(F, k1_numbers) &  (? [G] :  (m1_subset_1(G, k1_numbers) &  (? [H] :  (m1_subset_1(H, k1_numbers) &  (? [I] :  (m1_subset_1(I, k1_numbers) &  (? [J] :  (m1_subset_1(J, k1_numbers) &  (? [K] :  (m1_subset_1(K, k1_numbers) &  (A=k5_quaterni(D, E, F, G) &  (B=k5_quaterni(H, I, J, K) & C=k5_quaterni(k7_xcmplx_0(k3_real_1(k3_real_1(k3_real_1(k4_real_1(H, D), k4_real_1(I, E)), k4_real_1(J, F)), k4_real_1(K, G)), k1_square_1(k27_quaterni(B))), k7_xcmplx_0(k3_real_1(k5_real_1(k5_real_1(k4_real_1(H, E), k4_real_1(I, D)), k4_real_1(J, G)), k4_real_1(K, F)), k1_square_1(k27_quaterni(B))), k7_xcmplx_0(k5_real_1(k5_real_1(k3_real_1(k4_real_1(H, F), k4_real_1(I, G)), k4_real_1(J, D)), k4_real_1(K, E)), k1_square_1(k27_quaterni(B))), k7_xcmplx_0(k5_real_1(k3_real_1(k5_real_1(k4_real_1(H, G), k4_real_1(I, F)), k4_real_1(J, E)), k4_real_1(K, D)), k1_square_1(k27_quaterni(B))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_quatern2, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => k5_quatern2(A, B)=k21_quaterni(k21_quaterni(k18_quaterni(k7_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k12_quaterni(B), k12_quaterni(A)), k3_xcmplx_0(k13_quaterni(A), k13_quaterni(B))), k3_xcmplx_0(k14_quaterni(B), k14_quaterni(A))), k3_xcmplx_0(k15_quaterni(B), k15_quaterni(A))), k1_square_1(k27_quaterni(B))), k20_quaterni(k7_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k12_quaterni(B), k13_quaterni(A)), k3_xcmplx_0(k13_quaterni(B), k12_quaterni(A))), k3_xcmplx_0(k14_quaterni(B), k15_quaterni(A))), k3_xcmplx_0(k15_quaterni(B), k14_quaterni(A))), k1_square_1(k27_quaterni(B))), k3_quatern2)), k20_quaterni(k7_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k12_quaterni(B), k14_quaterni(A)), k3_xcmplx_0(k13_quaterni(B), k15_quaterni(A))), k3_xcmplx_0(k14_quaterni(B), k12_quaterni(A))), k3_xcmplx_0(k15_quaterni(B), k13_quaterni(A))), k1_square_1(k27_quaterni(B))), k10_quaterni)), k20_quaterni(k7_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k12_quaterni(B), k15_quaterni(A)), k3_xcmplx_0(k13_quaterni(B), k14_quaterni(A))), k3_xcmplx_0(k14_quaterni(B), k13_quaterni(A))), k3_xcmplx_0(k15_quaterni(B), k12_quaterni(A))), k1_square_1(k27_quaterni(B))), k11_quaterni))) ) ) ) ).
fof(d2_quatern2, axiom,  (! [A] :  (v1_quaterni(A) => k6_quatern2(A)=k5_quatern2(k2_quatern2, A)) ) ).
fof(t28_quatern2, axiom,  (! [A] :  (v1_quaterni(A) => k7_quatern2(A)=k24_quaterni(k24_quaterni(k19_quaterni(k7_xcmplx_0(k12_quaterni(A), k1_square_1(k27_quaterni(A))), k20_quaterni(k7_xcmplx_0(k13_quaterni(A), k1_square_1(k27_quaterni(A))), k3_quatern2)), k20_quaterni(k7_xcmplx_0(k14_quaterni(A), k1_square_1(k27_quaterni(A))), k10_quaterni)), k20_quaterni(k7_xcmplx_0(k15_quaterni(A), k1_square_1(k27_quaterni(A))), k11_quaterni))) ) ).
fof(t29_quatern2, axiom,  (! [A] :  (v1_quaterni(A) =>  (k12_quaterni(k7_quatern2(A))=k7_xcmplx_0(k12_quaterni(A), k1_square_1(k27_quaterni(A))) &  (k13_quaterni(k7_quatern2(A))=k4_xcmplx_0(k7_xcmplx_0(k13_quaterni(A), k1_square_1(k27_quaterni(A)))) &  (k14_quaterni(k7_quatern2(A))=k4_xcmplx_0(k7_xcmplx_0(k14_quaterni(A), k1_square_1(k27_quaterni(A)))) & k15_quaterni(k7_quatern2(A))=k4_xcmplx_0(k7_xcmplx_0(k15_quaterni(A), k1_square_1(k27_quaterni(A))))) ) ) ) ) ).
fof(t30_quatern2, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (k12_quaterni(k5_quatern2(A, B))=k7_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k12_quaterni(B), k12_quaterni(A)), k3_xcmplx_0(k13_quaterni(A), k13_quaterni(B))), k3_xcmplx_0(k14_quaterni(B), k14_quaterni(A))), k3_xcmplx_0(k15_quaterni(B), k15_quaterni(A))), k1_square_1(k27_quaterni(B))) &  (k13_quaterni(k5_quatern2(A, B))=k7_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k12_quaterni(B), k13_quaterni(A)), k3_xcmplx_0(k13_quaterni(B), k12_quaterni(A))), k3_xcmplx_0(k14_quaterni(B), k15_quaterni(A))), k3_xcmplx_0(k15_quaterni(B), k14_quaterni(A))), k1_square_1(k27_quaterni(B))) &  (k14_quaterni(k5_quatern2(A, B))=k7_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k12_quaterni(B), k14_quaterni(A)), k3_xcmplx_0(k13_quaterni(B), k15_quaterni(A))), k3_xcmplx_0(k14_quaterni(B), k12_quaterni(A))), k3_xcmplx_0(k15_quaterni(B), k13_quaterni(A))), k1_square_1(k27_quaterni(B))) & k15_quaterni(k5_quatern2(A, B))=k7_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k12_quaterni(B), k15_quaterni(A)), k3_xcmplx_0(k13_quaterni(B), k14_quaterni(A))), k3_xcmplx_0(k14_quaterni(B), k13_quaterni(A))), k3_xcmplx_0(k15_quaterni(B), k12_quaterni(A))), k1_square_1(k27_quaterni(B)))) ) ) ) ) ) ) ).
fof(t31_quatern2, axiom,  (! [A] :  (v1_quaterni(A) =>  ( ~ (A=k5_numbers)  => k22_quaterni(A, k7_quatern2(A))=1) ) ) ).
fof(t32_quatern2, axiom,  (! [A] :  (v1_quaterni(A) =>  ( ~ (A=k5_numbers)  => k22_quaterni(k7_quatern2(A), A)=1) ) ) ).
fof(t33_quatern2, axiom,  (! [A] :  (v1_quaterni(A) =>  ( ~ (A=k1_quatern2)  => k5_quatern2(A, A)=k2_quatern2) ) ) ).
fof(t34_quatern2, axiom,  (! [A] :  (v1_quaterni(A) => k7_quatern2(k23_quaterni(A))=k23_quaterni(k7_quatern2(A))) ) ).
fof(d3_quatern2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k1_quaterni, k1_quaterni) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_quaterni, k1_quaterni)))) )  =>  (A=k8_quatern2 <=>  (! [B] :  (m1_subset_1(B, k1_quaterni) => k1_funct_1(A, B)=k23_quaterni(B)) ) ) ) ) ).
fof(d4_quatern2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_quaterni, k1_quaterni), k1_quaterni) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_quaterni, k1_quaterni), k1_quaterni)))) )  =>  (A=k9_quatern2 <=>  (! [B] :  (m1_subset_1(B, k1_quaterni) =>  (! [C] :  (m1_subset_1(C, k1_quaterni) => k4_binop_1(k1_quaterni, A, B, C)=k21_quaterni(B, C)) ) ) ) ) ) ) ).
fof(d5_quatern2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_quaterni, k1_quaterni), k1_quaterni) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_quaterni, k1_quaterni), k1_quaterni)))) )  =>  (A=k10_quatern2 <=>  (! [B] :  (m1_subset_1(B, k1_quaterni) =>  (! [C] :  (m1_subset_1(C, k1_quaterni) => k4_binop_1(k1_quaterni, A, B, C)=k24_quaterni(B, C)) ) ) ) ) ) ) ).
fof(d6_quatern2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_quaterni, k1_quaterni), k1_quaterni) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_quaterni, k1_quaterni), k1_quaterni)))) )  =>  (A=k11_quatern2 <=>  (! [B] :  (m1_subset_1(B, k1_quaterni) =>  (! [C] :  (m1_subset_1(C, k1_quaterni) => k4_binop_1(k1_quaterni, A, B, C)=k22_quaterni(B, C)) ) ) ) ) ) ) ).
fof(d7_quatern2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_quaterni, k1_quaterni), k1_quaterni) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_quaterni, k1_quaterni), k1_quaterni)))) )  =>  (A=k12_quatern2 <=>  (! [B] :  (m1_subset_1(B, k1_quaterni) =>  (! [C] :  (m1_subset_1(C, k1_quaterni) => k4_binop_1(k1_quaterni, A, B, C)=k5_quatern2(B, C)) ) ) ) ) ) ) ).
fof(d8_quatern2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k1_quaterni, k1_quaterni) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_quaterni, k1_quaterni)))) )  =>  (A=k13_quatern2 <=>  (! [B] :  (m1_subset_1(B, k1_quaterni) => k1_funct_1(A, B)=k7_quatern2(B)) ) ) ) ) ).
fof(d9_quatern2, axiom,  (! [A] :  ( (v8_algstr_0(A) & l2_algstr_0(A))  =>  (A=k14_quatern2 <=>  (u1_struct_0(A)=k1_quaterni &  (u1_algstr_0(A)=k9_quatern2 & k4_struct_0(A)=k1_quatern2) ) ) ) ) ).
fof(t35_quatern2, axiom, k4_struct_0(k14_quatern2)=k1_quatern2).
fof(t36_quatern2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k14_quatern2)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k14_quatern2)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k14_quatern2)) =>  (k3_rlvect_1(k14_quatern2, A, B)=k3_rlvect_1(k14_quatern2, B, A) &  (k3_rlvect_1(k14_quatern2, k3_rlvect_1(k14_quatern2, A, B), C)=k3_rlvect_1(k14_quatern2, A, k3_rlvect_1(k14_quatern2, B, C)) & k3_rlvect_1(k14_quatern2, A, k4_struct_0(k14_quatern2))=A) ) ) ) ) ) ) ) ).
fof(d10_quatern2, axiom,  (! [A] :  ( (v36_algstr_0(A) & l6_algstr_0(A))  =>  (A=k15_quatern2 <=>  (u1_struct_0(A)=k1_quaterni &  (u1_algstr_0(A)=k9_quatern2 &  (u2_algstr_0(A)=k11_quatern2 &  (k5_struct_0(A)=k2_quatern2 & k4_struct_0(A)=k1_quatern2) ) ) ) ) ) ) ).
fof(t37_quatern2, axiom, k5_struct_0(k15_quatern2)=k2_quatern2).
fof(t38_quatern2, axiom, k1_group_1(k15_quatern2)=k2_quatern2).
fof(t39_quatern2, axiom, k4_struct_0(k15_quatern2)=k1_quatern2).
fof(t40_quatern2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_quatern2)) => k4_algstr_0(k15_quatern2, A)=k6_algstr_0(k15_quatern2, k4_algstr_0(k15_quatern2, k1_group_1(k15_quatern2)), A)) ) ).
fof(t41_quatern2, axiom, k16_quatern2(k4_struct_0(k15_quatern2))=k4_struct_0(k15_quatern2)).
fof(t42_quatern2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_quatern2)) =>  (k16_quatern2(A)=k4_struct_0(k15_quatern2) => A=k4_struct_0(k15_quatern2)) ) ) ).
fof(t43_quatern2, axiom, k16_quatern2(k5_struct_0(k15_quatern2))=k5_struct_0(k15_quatern2)).
fof(t44_quatern2, axiom, k27_quaterni(k4_struct_0(k15_quatern2))=k5_numbers).
fof(t45_quatern2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_quatern2)) =>  (k27_quaterni(A)=k5_numbers => A=k4_struct_0(k15_quatern2)) ) ) ).
fof(t46_quatern2, axiom, k27_quaterni(k5_struct_0(k15_quatern2))=1).
fof(t47_quatern2, axiom, k7_quatern2(k5_struct_0(k15_quatern2))=k5_struct_0(k15_quatern2)).
fof(d11_quatern2, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => k17_quatern2(A, B)=k22_quaterni(A, k26_quaterni(B))) ) ) ) ).
fof(t48_quatern2, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => k17_quatern2(A, B)=k5_quaterni(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k12_quaterni(A), k12_quaterni(B)), k3_xcmplx_0(k13_quaterni(A), k13_quaterni(B))), k3_xcmplx_0(k14_quaterni(A), k14_quaterni(B))), k3_xcmplx_0(k15_quaterni(A), k15_quaterni(B))), k2_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k12_quaterni(A), k4_xcmplx_0(k13_quaterni(B))), k3_xcmplx_0(k13_quaterni(A), k12_quaterni(B))), k3_xcmplx_0(k14_quaterni(A), k15_quaterni(B))), k3_xcmplx_0(k15_quaterni(A), k14_quaterni(B))), k2_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k12_quaterni(A), k4_xcmplx_0(k14_quaterni(B))), k3_xcmplx_0(k12_quaterni(B), k14_quaterni(A))), k3_xcmplx_0(k13_quaterni(B), k15_quaterni(A))), k3_xcmplx_0(k15_quaterni(B), k13_quaterni(A))), k2_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k12_quaterni(A), k4_xcmplx_0(k15_quaterni(B))), k3_xcmplx_0(k15_quaterni(A), k12_quaterni(B))), k3_xcmplx_0(k13_quaterni(A), k14_quaterni(B))), k3_xcmplx_0(k14_quaterni(A), k13_quaterni(B))))) ) ) ) ).
fof(t49_quatern2, axiom,  (! [A] :  (v1_quaterni(A) => k17_quatern2(A, A)=k1_square_1(k27_quaterni(A))) ) ).
fof(t50_quatern2, axiom,  (! [A] :  (v1_quaterni(A) =>  (k12_quaterni(k17_quatern2(A, A))=k1_square_1(k27_quaterni(A)) &  (k13_quaterni(k17_quatern2(A, A))=k5_numbers &  (k14_quaterni(k17_quatern2(A, A))=k5_numbers & k14_quaterni(k17_quatern2(A, A))=k5_numbers) ) ) ) ) ).
fof(t51_quatern2, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => k27_quaterni(k17_quatern2(A, B))=k3_xcmplx_0(k27_quaterni(A), k27_quaterni(B))) ) ) ) ).
fof(t52_quatern2, axiom,  (! [A] :  (v1_quaterni(A) =>  (k17_quatern2(A, A)=k5_numbers => A=k5_numbers) ) ) ).
fof(t53_quatern2, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) => k17_quatern2(k21_quaterni(A, B), C)=k21_quaterni(k17_quatern2(A, C), k17_quatern2(B, C))) ) ) ) ) ) ).
fof(t54_quatern2, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) => k17_quatern2(A, k21_quaterni(B, C))=k21_quaterni(k17_quatern2(A, B), k17_quatern2(A, C))) ) ) ) ) ) ).
fof(t55_quatern2, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => k17_quatern2(k23_quaterni(A), B)=k23_quaterni(k17_quatern2(A, B))) ) ) ) ).
fof(t56_quatern2, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => k23_quaterni(k17_quatern2(A, B))=k17_quatern2(A, k23_quaterni(B))) ) ) ) ).
fof(t57_quatern2, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => k17_quatern2(k23_quaterni(A), k23_quaterni(B))=k17_quatern2(A, B)) ) ) ) ).
fof(t58_quatern2, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) => k17_quatern2(k24_quaterni(A, B), C)=k24_quaterni(k17_quatern2(A, C), k17_quatern2(B, C))) ) ) ) ) ) ).
fof(t59_quatern2, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) => k17_quatern2(A, k24_quaterni(B, C))=k24_quaterni(k17_quatern2(A, B), k17_quatern2(A, C))) ) ) ) ) ) ).
fof(t60_quatern2, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => k17_quatern2(k21_quaterni(A, B), k21_quaterni(A, B))=k21_quaterni(k21_quaterni(k21_quaterni(k17_quatern2(A, A), k17_quatern2(A, B)), k17_quatern2(B, A)), k17_quatern2(B, B))) ) ) ) ).
fof(t61_quatern2, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => k17_quatern2(k24_quaterni(A, B), k24_quaterni(A, B))=k21_quaterni(k24_quaterni(k24_quaterni(k17_quatern2(A, A), k17_quatern2(A, B)), k17_quatern2(B, A)), k17_quatern2(B, B))) ) ) ) ).
fof(dt_k1_quatern2, axiom, m1_subset_1(k1_quatern2, k1_quaterni)).
fof(redefinition_k1_quatern2, axiom, k1_quatern2=k16_quaterni).
fof(dt_k2_quatern2, axiom, m1_subset_1(k2_quatern2, k1_quaterni)).
fof(redefinition_k2_quatern2, axiom, k2_quatern2=k17_quaterni).
fof(dt_k3_quatern2, axiom, m1_subset_1(k3_quatern2, k1_quaterni)).
fof(redefinition_k3_quatern2, axiom, k3_quatern2=k1_xcmplx_0).
fof(dt_k5_quatern2, axiom,  (! [A, B] :  ( (v1_quaterni(A) & v1_quaterni(B))  => m1_subset_1(k5_quatern2(A, B), k1_quaterni)) ) ).
fof(redefinition_k5_quatern2, axiom,  (! [A, B] :  ( (v1_quaterni(A) & v1_quaterni(B))  => k5_quatern2(A, B)=k4_quatern2(A, B)) ) ).
fof(dt_k6_quatern2, axiom,  (! [A] :  (v1_quaterni(A) => v1_quaterni(k6_quatern2(A))) ) ).
fof(dt_k7_quatern2, axiom,  (! [A] :  (v1_quaterni(A) => m1_subset_1(k7_quatern2(A), k1_quaterni)) ) ).
fof(redefinition_k7_quatern2, axiom,  (! [A] :  (v1_quaterni(A) => k7_quatern2(A)=k6_quatern2(A)) ) ).
fof(dt_k8_quatern2, axiom,  (v1_funct_1(k8_quatern2) &  (v1_funct_2(k8_quatern2, k1_quaterni, k1_quaterni) & m1_subset_1(k8_quatern2, k1_zfmisc_1(k2_zfmisc_1(k1_quaterni, k1_quaterni)))) ) ).
fof(dt_k9_quatern2, axiom,  (v1_funct_1(k9_quatern2) &  (v1_funct_2(k9_quatern2, k2_zfmisc_1(k1_quaterni, k1_quaterni), k1_quaterni) & m1_subset_1(k9_quatern2, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_quaterni, k1_quaterni), k1_quaterni)))) ) ).
fof(dt_k10_quatern2, axiom,  (v1_funct_1(k10_quatern2) &  (v1_funct_2(k10_quatern2, k2_zfmisc_1(k1_quaterni, k1_quaterni), k1_quaterni) & m1_subset_1(k10_quatern2, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_quaterni, k1_quaterni), k1_quaterni)))) ) ).
fof(dt_k11_quatern2, axiom,  (v1_funct_1(k11_quatern2) &  (v1_funct_2(k11_quatern2, k2_zfmisc_1(k1_quaterni, k1_quaterni), k1_quaterni) & m1_subset_1(k11_quatern2, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_quaterni, k1_quaterni), k1_quaterni)))) ) ).
fof(dt_k12_quatern2, axiom,  (v1_funct_1(k12_quatern2) &  (v1_funct_2(k12_quatern2, k2_zfmisc_1(k1_quaterni, k1_quaterni), k1_quaterni) & m1_subset_1(k12_quatern2, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_quaterni, k1_quaterni), k1_quaterni)))) ) ).
fof(dt_k13_quatern2, axiom,  (v1_funct_1(k13_quatern2) &  (v1_funct_2(k13_quatern2, k1_quaterni, k1_quaterni) & m1_subset_1(k13_quatern2, k1_zfmisc_1(k2_zfmisc_1(k1_quaterni, k1_quaterni)))) ) ).
fof(dt_k14_quatern2, axiom,  (v8_algstr_0(k14_quatern2) & l2_algstr_0(k14_quatern2)) ).
fof(dt_k15_quatern2, axiom,  (v36_algstr_0(k15_quatern2) & l6_algstr_0(k15_quatern2)) ).
fof(dt_k16_quatern2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_quatern2)) => m1_subset_1(k16_quatern2(A), u1_struct_0(k15_quatern2))) ) ).
fof(redefinition_k16_quatern2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_quatern2)) => k16_quatern2(A)=k25_quaterni(A)) ) ).
fof(dt_k17_quatern2, axiom,  (! [A, B] :  ( (v1_quaterni(A) & v1_quaterni(B))  => m1_subset_1(k17_quatern2(A, B), k1_quaterni)) ) ).
fof(fc1_quatern3, axiom,  (! [A] :  (v1_quaterni(A) => v1_quaterni(k1_quatern3(A))) ) ).
fof(fc2_quatern3, axiom,  (! [A] :  (v1_quaterni(A) => v1_quaterni(k3_quatern3(A))) ) ).
fof(t1_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => k12_quaterni(k22_quaterni(A, B))=k12_quaterni(k22_quaterni(B, A))) ) ) ) ).
fof(t2_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (v1_xreal_0(B) => k21_quaterni(B, A)=k21_quaterni(k21_quaterni(k18_quaterni(k2_xcmplx_0(k12_quaterni(B), k12_quaterni(A)), k20_quaterni(k13_quaterni(A), k3_quatern2)), k20_quaterni(k14_quaterni(A), k10_quaterni)), k20_quaterni(k15_quaterni(A), k11_quaterni))) ) ) ) ) ).
fof(t3_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (v1_xreal_0(B) => k24_quaterni(B, A)=k5_quaterni(k6_xcmplx_0(k12_quaterni(B), k12_quaterni(A)), k4_xcmplx_0(k13_quaterni(A)), k4_xcmplx_0(k14_quaterni(A)), k4_xcmplx_0(k15_quaterni(A)))) ) ) ) ) ).
fof(t4_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (v1_xreal_0(B) => k22_quaterni(B, A)=k5_quaterni(k3_xcmplx_0(k12_quaterni(B), k12_quaterni(A)), k3_xcmplx_0(k12_quaterni(B), k13_quaterni(A)), k3_xcmplx_0(k12_quaterni(B), k14_quaterni(A)), k3_xcmplx_0(k12_quaterni(B), k15_quaterni(A)))) ) ) ) ) ).
fof(t5_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (v1_xreal_0(A) => k22_quaterni(A, k3_quatern2)=k5_quaterni(k5_numbers, k12_quaterni(A), k5_numbers, k5_numbers)) ) ) ).
fof(t6_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (v1_xreal_0(A) => k22_quaterni(A, k10_quaterni)=k5_quaterni(k5_numbers, k5_numbers, k12_quaterni(A), k5_numbers)) ) ) ).
fof(t7_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (v1_xreal_0(A) => k22_quaterni(A, k11_quaterni)=k5_quaterni(k5_numbers, k5_numbers, k5_numbers, k12_quaterni(A))) ) ) ).
fof(t8_quatern3, axiom,  (! [A] :  (v1_quaterni(A) => k24_quaterni(A, k1_quatern2)=A) ) ).
fof(t9_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (v1_xreal_0(B) => k22_quaterni(B, A)=k22_quaterni(A, B)) ) ) ) ) ).
fof(t10_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  ( (k13_quaterni(A)=k5_numbers &  (k14_quaterni(A)=k5_numbers & k15_quaterni(A)=k5_numbers) )  => A=k12_quaterni(A)) ) ) ).
fof(t11_quatern3, axiom,  (! [A] :  (v1_quaterni(A) => k1_square_1(k27_quaterni(A))=k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(k12_quaterni(A)), k1_square_1(k13_quaterni(A))), k1_square_1(k14_quaterni(A))), k1_square_1(k15_quaterni(A)))) ) ).
fof(t12_quatern3, axiom,  (! [A] :  (v1_quaterni(A) => k1_square_1(k27_quaterni(A))=k27_quaterni(k22_quaterni(A, k26_quaterni(A)))) ) ).
fof(t13_quatern3, axiom,  (! [A] :  (v1_quaterni(A) => k1_square_1(k27_quaterni(A))=k12_quaterni(k22_quaterni(A, k26_quaterni(A)))) ) ).
fof(t14_quatern3, axiom,  (! [A] :  (v1_quaterni(A) => k3_xcmplx_0(2, k12_quaterni(A))=k12_quaterni(k21_quaterni(A, k26_quaterni(A)))) ) ).
fof(t15_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (v1_xreal_0(B) => k26_quaterni(k22_quaterni(B, A))=k22_quaterni(k26_quaterni(B), k26_quaterni(A))) ) ) ) ) ).
fof(t16_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => k26_quaterni(k22_quaterni(A, B))=k22_quaterni(k26_quaterni(B), k26_quaterni(A))) ) ) ) ).
fof(t17_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => k1_square_1(k27_quaterni(k22_quaterni(A, B)))=k3_xcmplx_0(k1_square_1(k27_quaterni(A)), k1_square_1(k27_quaterni(B)))) ) ) ) ).
fof(t18_quatern3, axiom,  (! [A] :  (v1_quaterni(A) => k24_quaterni(k22_quaterni(k3_quatern2, A), k22_quaterni(A, k3_quatern2))=k5_quaterni(k5_numbers, k5_numbers, k4_xcmplx_0(k3_xcmplx_0(2, k15_quaterni(A))), k3_xcmplx_0(2, k14_quaterni(A)))) ) ).
fof(t19_quatern3, axiom,  (! [A] :  (v1_quaterni(A) => k21_quaterni(k22_quaterni(k3_quatern2, A), k22_quaterni(A, k3_quatern2))=k5_quaterni(k4_xcmplx_0(k3_xcmplx_0(2, k13_quaterni(A))), k3_xcmplx_0(2, k12_quaterni(A)), k5_numbers, k5_numbers)) ) ).
fof(t20_quatern3, axiom,  (! [A] :  (v1_quaterni(A) => k24_quaterni(k22_quaterni(k10_quaterni, A), k22_quaterni(A, k10_quaterni))=k5_quaterni(k5_numbers, k3_xcmplx_0(2, k15_quaterni(A)), k5_numbers, k4_xcmplx_0(k3_xcmplx_0(2, k13_quaterni(A))))) ) ).
fof(t21_quatern3, axiom,  (! [A] :  (v1_quaterni(A) => k21_quaterni(k22_quaterni(k10_quaterni, A), k22_quaterni(A, k10_quaterni))=k5_quaterni(k4_xcmplx_0(k3_xcmplx_0(2, k14_quaterni(A))), k5_numbers, k3_xcmplx_0(2, k12_quaterni(A)), k5_numbers)) ) ).
fof(t22_quatern3, axiom,  (! [A] :  (v1_quaterni(A) => k24_quaterni(k22_quaterni(k11_quaterni, A), k22_quaterni(A, k11_quaterni))=k5_quaterni(k5_numbers, k4_xcmplx_0(k3_xcmplx_0(2, k14_quaterni(A))), k3_xcmplx_0(2, k13_quaterni(A)), k5_numbers)) ) ).
fof(t23_quatern3, axiom,  (! [A] :  (v1_quaterni(A) => k21_quaterni(k22_quaterni(k11_quaterni, A), k22_quaterni(A, k11_quaterni))=k5_quaterni(k4_xcmplx_0(k3_xcmplx_0(2, k15_quaterni(A))), k5_numbers, k5_numbers, k3_xcmplx_0(2, k12_quaterni(A)))) ) ).
fof(t24_quatern3, axiom,  (! [A] :  (v1_quaterni(A) => k12_quaterni(k20_quaterni(k7_xcmplx_0(1, k1_square_1(k27_quaterni(A))), k26_quaterni(A)))=k3_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k27_quaterni(A))), k12_quaterni(A))) ) ).
fof(t25_quatern3, axiom,  (! [A] :  (v1_quaterni(A) => k13_quaterni(k20_quaterni(k7_xcmplx_0(1, k1_square_1(k27_quaterni(A))), k26_quaterni(A)))=k4_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k27_quaterni(A))), k13_quaterni(A)))) ) ).
fof(t26_quatern3, axiom,  (! [A] :  (v1_quaterni(A) => k14_quaterni(k20_quaterni(k7_xcmplx_0(1, k1_square_1(k27_quaterni(A))), k26_quaterni(A)))=k4_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k27_quaterni(A))), k14_quaterni(A)))) ) ).
fof(t27_quatern3, axiom,  (! [A] :  (v1_quaterni(A) => k15_quaterni(k20_quaterni(k7_xcmplx_0(1, k1_square_1(k27_quaterni(A))), k26_quaterni(A)))=k4_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k27_quaterni(A))), k15_quaterni(A)))) ) ).
fof(t28_quatern3, axiom,  (! [A] :  (v1_quaterni(A) => k20_quaterni(k7_xcmplx_0(1, k1_square_1(k27_quaterni(A))), k26_quaterni(A))=k5_quaterni(k3_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k27_quaterni(A))), k12_quaterni(A)), k4_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k27_quaterni(A))), k13_quaterni(A))), k4_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k27_quaterni(A))), k14_quaterni(A))), k4_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1, k1_square_1(k27_quaterni(A))), k15_quaterni(A))))) ) ).
fof(t29_quatern3, axiom,  (! [A] :  (v1_quaterni(A) => k22_quaterni(A, k20_quaterni(k7_xcmplx_0(1, k1_square_1(k27_quaterni(A))), k26_quaterni(A)))=k5_quaterni(k7_xcmplx_0(k1_square_1(k27_quaterni(A)), k1_square_1(k27_quaterni(A))), k5_numbers, k5_numbers, k5_numbers)) ) ).
fof(t30_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) => k1_square_1(k27_quaterni(k22_quaterni(k22_quaterni(A, B), C)))=k3_xcmplx_0(k3_xcmplx_0(k1_square_1(k27_quaterni(A)), k1_square_1(k27_quaterni(B))), k1_square_1(k27_quaterni(C)))) ) ) ) ) ) ).
fof(t31_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) => k12_quaterni(k22_quaterni(k22_quaterni(A, B), C))=k12_quaterni(k22_quaterni(k22_quaterni(C, A), B))) ) ) ) ) ) ).
fof(t32_quatern3, axiom,  (! [A] :  (v1_quaterni(A) => k27_quaterni(k22_quaterni(A, A))=k27_quaterni(k22_quaterni(k26_quaterni(A), k26_quaterni(A)))) ) ).
fof(t33_quatern3, axiom,  (! [A] :  (v1_quaterni(A) => k27_quaterni(k22_quaterni(k26_quaterni(A), k26_quaterni(A)))=k1_square_1(k27_quaterni(A))) ) ).
fof(t34_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) => k27_quaterni(k22_quaterni(k22_quaterni(A, B), C))=k3_xcmplx_0(k3_xcmplx_0(k27_quaterni(A), k27_quaterni(B)), k27_quaterni(C))) ) ) ) ) ) ).
fof(t35_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) => r1_xxreal_0(k27_quaterni(k21_quaterni(k21_quaterni(A, B), C)), k2_xcmplx_0(k2_xcmplx_0(k27_quaterni(A), k27_quaterni(B)), k27_quaterni(C)))) ) ) ) ) ) ).
fof(t36_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) => r1_xxreal_0(k27_quaterni(k24_quaterni(k21_quaterni(A, B), C)), k2_xcmplx_0(k2_xcmplx_0(k27_quaterni(A), k27_quaterni(B)), k27_quaterni(C)))) ) ) ) ) ) ).
fof(t37_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) => r1_xxreal_0(k27_quaterni(k24_quaterni(k24_quaterni(A, B), C)), k2_xcmplx_0(k2_xcmplx_0(k27_quaterni(A), k27_quaterni(B)), k27_quaterni(C)))) ) ) ) ) ) ).
fof(t38_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => r1_xxreal_0(k6_xcmplx_0(k27_quaterni(A), k27_quaterni(B)), k7_xcmplx_0(k2_xcmplx_0(k27_quaterni(k21_quaterni(A, B)), k27_quaterni(k24_quaterni(A, B))), 2))) ) ) ) ).
fof(t39_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => r1_xxreal_0(k6_xcmplx_0(k27_quaterni(A), k27_quaterni(B)), k7_xcmplx_0(k2_xcmplx_0(k27_quaterni(k21_quaterni(A, B)), k27_quaterni(k24_quaterni(B, A))), 2))) ) ) ) ).
fof(t40_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k27_quaterni(A), k27_quaterni(B))), k27_quaterni(k24_quaterni(B, A)))) ) ) ) ).
fof(t41_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k27_quaterni(A), k27_quaterni(B))), k2_xcmplx_0(k27_quaterni(A), k27_quaterni(B)))) ) ) ) ).
fof(t42_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) => r1_xxreal_0(k6_xcmplx_0(k27_quaterni(A), k27_quaterni(B)), k2_xcmplx_0(k27_quaterni(k24_quaterni(A, C)), k27_quaterni(k24_quaterni(C, B))))) ) ) ) ) ) ).
fof(t43_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  ~ ( ( ~ (k6_xcmplx_0(k27_quaterni(A), k27_quaterni(B))=k5_numbers)  & r1_xxreal_0(k6_xcmplx_0(k2_xcmplx_0(k1_square_1(k27_quaterni(A)), k1_square_1(k27_quaterni(B))), k3_xcmplx_0(k3_xcmplx_0(2, k27_quaterni(A)), k27_quaterni(B))), k5_numbers)) ) ) ) ) ) ).
fof(t44_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => r1_xxreal_0(k7_xcmplx_0(k2_xcmplx_0(k27_quaterni(k21_quaterni(A, B)), k27_quaterni(k24_quaterni(B, A))), 2), k2_xcmplx_0(k27_quaterni(A), k27_quaterni(B)))) ) ) ) ).
fof(t45_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => r1_xxreal_0(k7_xcmplx_0(k2_xcmplx_0(k27_quaterni(k21_quaterni(A, B)), k27_quaterni(k24_quaterni(A, B))), 2), k2_xcmplx_0(k27_quaterni(A), k27_quaterni(B)))) ) ) ) ).
fof(t46_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => k7_quatern2(k22_quaterni(A, B))=k22_quaterni(k7_quatern2(B), k7_quatern2(A))) ) ) ) ).
fof(t47_quatern3, axiom,  (! [A] :  (v1_quaterni(A) => k7_quatern2(k26_quaterni(A))=k26_quaterni(k7_quatern2(A))) ) ).
fof(t48_quatern3, axiom, k7_quatern2(k2_quatern2)=k2_quatern2).
fof(t49_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  ( (k27_quaterni(A)=k27_quaterni(B) & k7_quatern2(A)=k7_quatern2(B))  =>  (k27_quaterni(A)=k5_numbers | A=B) ) ) ) ) ) ).
fof(t50_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) =>  (! [D] :  (v1_quaterni(D) => k22_quaterni(k24_quaterni(A, B), k21_quaterni(C, D))=k24_quaterni(k21_quaterni(k24_quaterni(k22_quaterni(A, C), k22_quaterni(B, C)), k22_quaterni(A, D)), k22_quaterni(B, D))) ) ) ) ) ) ) ) ).
fof(t51_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) =>  (! [D] :  (v1_quaterni(D) => k22_quaterni(k21_quaterni(A, B), k21_quaterni(C, D))=k21_quaterni(k21_quaterni(k21_quaterni(k22_quaterni(A, C), k22_quaterni(B, C)), k22_quaterni(A, D)), k22_quaterni(B, D))) ) ) ) ) ) ) ) ).
fof(t52_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => k23_quaterni(k21_quaterni(A, B))=k24_quaterni(k23_quaterni(A), B)) ) ) ) ).
fof(t53_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => k23_quaterni(k24_quaterni(A, B))=k21_quaterni(k23_quaterni(A), B)) ) ) ) ).
fof(t54_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) => k24_quaterni(C, k21_quaterni(A, B))=k24_quaterni(k24_quaterni(C, A), B)) ) ) ) ) ) ).
fof(t55_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) => k24_quaterni(C, k24_quaterni(A, B))=k21_quaterni(k24_quaterni(C, A), B)) ) ) ) ) ) ).
fof(t56_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) =>  (! [D] :  (v1_quaterni(D) => k22_quaterni(k21_quaterni(A, B), k24_quaterni(C, D))=k24_quaterni(k24_quaterni(k21_quaterni(k22_quaterni(A, C), k22_quaterni(B, C)), k22_quaterni(A, D)), k22_quaterni(B, D))) ) ) ) ) ) ) ) ).
fof(t57_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) =>  (! [D] :  (v1_quaterni(D) => k22_quaterni(k24_quaterni(A, B), k24_quaterni(C, D))=k21_quaterni(k24_quaterni(k24_quaterni(k22_quaterni(A, C), k22_quaterni(B, C)), k22_quaterni(A, D)), k22_quaterni(B, D))) ) ) ) ) ) ) ) ).
fof(t58_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) => k23_quaterni(k21_quaterni(k21_quaterni(A, B), C))=k24_quaterni(k24_quaterni(k23_quaterni(A), B), C)) ) ) ) ) ) ).
fof(t59_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) => k23_quaterni(k24_quaterni(k24_quaterni(A, B), C))=k21_quaterni(k21_quaterni(k23_quaterni(A), B), C)) ) ) ) ) ) ).
fof(t60_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) => k23_quaterni(k21_quaterni(k24_quaterni(A, B), C))=k24_quaterni(k21_quaterni(k23_quaterni(A), B), C)) ) ) ) ) ) ).
fof(t61_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) => k23_quaterni(k24_quaterni(k21_quaterni(A, B), C))=k21_quaterni(k24_quaterni(k23_quaterni(A), B), C)) ) ) ) ) ) ).
fof(t62_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) =>  (k21_quaterni(A, C)=k21_quaterni(B, C) => A=B) ) ) ) ) ) ) ).
fof(t63_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) =>  (k24_quaterni(A, C)=k24_quaterni(B, C) => A=B) ) ) ) ) ) ) ).
fof(t64_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) =>  (! [D] :  (v1_quaterni(D) => k22_quaterni(k24_quaterni(k21_quaterni(A, B), C), D)=k24_quaterni(k21_quaterni(k22_quaterni(A, D), k22_quaterni(B, D)), k22_quaterni(C, D))) ) ) ) ) ) ) ) ).
fof(t65_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) =>  (! [D] :  (v1_quaterni(D) => k22_quaterni(k21_quaterni(k24_quaterni(A, B), C), D)=k21_quaterni(k24_quaterni(k22_quaterni(A, D), k22_quaterni(B, D)), k22_quaterni(C, D))) ) ) ) ) ) ) ) ).
fof(t66_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) =>  (! [D] :  (v1_quaterni(D) => k22_quaterni(k24_quaterni(k24_quaterni(A, B), C), D)=k24_quaterni(k24_quaterni(k22_quaterni(A, D), k22_quaterni(B, D)), k22_quaterni(C, D))) ) ) ) ) ) ) ) ).
fof(t67_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) =>  (! [D] :  (v1_quaterni(D) => k22_quaterni(k21_quaterni(k21_quaterni(A, B), C), D)=k21_quaterni(k21_quaterni(k22_quaterni(A, D), k22_quaterni(B, D)), k22_quaterni(C, D))) ) ) ) ) ) ) ) ).
fof(t68_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) => k22_quaterni(k24_quaterni(A, B), C)=k22_quaterni(k24_quaterni(B, A), k23_quaterni(C))) ) ) ) ) ) ).
fof(t69_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) => k22_quaterni(C, k24_quaterni(A, B))=k22_quaterni(k23_quaterni(C), k24_quaterni(B, A))) ) ) ) ) ) ).
fof(t70_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) =>  (! [D] :  (v1_quaterni(D) => k21_quaterni(k24_quaterni(k24_quaterni(A, B), C), D)=k21_quaterni(k24_quaterni(k24_quaterni(D, C), B), A)) ) ) ) ) ) ) ) ).
fof(t71_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) =>  (! [D] :  (v1_quaterni(D) => k22_quaterni(k24_quaterni(A, B), k24_quaterni(C, D))=k22_quaterni(k24_quaterni(B, A), k24_quaterni(D, C))) ) ) ) ) ) ) ) ).
fof(t72_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) => k24_quaterni(k24_quaterni(C, A), B)=k24_quaterni(k24_quaterni(C, B), A)) ) ) ) ) ) ).
fof(t73_quatern3, axiom,  (! [A] :  (v1_quaterni(A) => k7_quatern2(A)=k5_quaterni(k7_xcmplx_0(k12_quaterni(A), k1_square_1(k27_quaterni(A))), k4_xcmplx_0(k7_xcmplx_0(k13_quaterni(A), k1_square_1(k27_quaterni(A)))), k4_xcmplx_0(k7_xcmplx_0(k14_quaterni(A), k1_square_1(k27_quaterni(A)))), k4_xcmplx_0(k7_xcmplx_0(k15_quaterni(A), k1_square_1(k27_quaterni(A)))))) ) ).
fof(t74_quatern3, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => k5_quatern2(A, B)=k5_quaterni(k7_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k12_quaterni(B), k12_quaterni(A)), k3_xcmplx_0(k13_quaterni(A), k13_quaterni(B))), k3_xcmplx_0(k14_quaterni(B), k14_quaterni(A))), k3_xcmplx_0(k15_quaterni(B), k15_quaterni(A))), k1_square_1(k27_quaterni(B))), k7_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k12_quaterni(B), k13_quaterni(A)), k3_xcmplx_0(k13_quaterni(B), k12_quaterni(A))), k3_xcmplx_0(k14_quaterni(B), k15_quaterni(A))), k3_xcmplx_0(k15_quaterni(B), k14_quaterni(A))), k1_square_1(k27_quaterni(B))), k7_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k12_quaterni(B), k14_quaterni(A)), k3_xcmplx_0(k13_quaterni(B), k15_quaterni(A))), k3_xcmplx_0(k14_quaterni(B), k12_quaterni(A))), k3_xcmplx_0(k15_quaterni(B), k13_quaterni(A))), k1_square_1(k27_quaterni(B))), k7_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k12_quaterni(B), k15_quaterni(A)), k3_xcmplx_0(k13_quaterni(B), k14_quaterni(A))), k3_xcmplx_0(k14_quaterni(B), k13_quaterni(A))), k3_xcmplx_0(k15_quaterni(B), k12_quaterni(A))), k1_square_1(k27_quaterni(B))))) ) ) ) ).
fof(t75_quatern3, axiom, k7_quatern2(k3_quatern2)=k23_quaterni(k3_quatern2)).
fof(t76_quatern3, axiom, k7_quatern2(k10_quaterni)=k23_quaterni(k10_quaterni)).
fof(t77_quatern3, axiom, k7_quatern2(k11_quaterni)=k23_quaterni(k11_quaterni)).
fof(d1_quatern3, axiom,  (! [A] :  (v1_quaterni(A) => k1_quatern3(A)=k22_quaterni(A, A)) ) ).
fof(t78_quatern3, axiom,  (! [A] :  (v1_quaterni(A) => k1_quatern3(A)=k5_quaterni(k6_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k1_square_1(k12_quaterni(A)), k1_square_1(k13_quaterni(A))), k1_square_1(k14_quaterni(A))), k1_square_1(k15_quaterni(A))), k3_xcmplx_0(2, k3_xcmplx_0(k12_quaterni(A), k13_quaterni(A))), k3_xcmplx_0(2, k3_xcmplx_0(k12_quaterni(A), k14_quaterni(A))), k3_xcmplx_0(2, k3_xcmplx_0(k12_quaterni(A), k15_quaterni(A))))) ) ).
fof(t79_quatern3, axiom, k2_quatern3(k1_quatern2)=k5_numbers).
fof(t80_quatern3, axiom, k2_quatern3(k2_quatern2)=1).
fof(t81_quatern3, axiom,  (! [A] :  (v1_quaterni(A) => k1_quatern3(A)=k2_quatern3(k23_quaterni(A))) ) ).
fof(d2_quatern3, axiom,  (! [A] :  (v1_quaterni(A) => k3_quatern3(A)=k22_quaterni(k22_quaterni(A, A), A)) ) ).
fof(t82_quatern3, axiom, k4_quatern3(k1_quatern2)=k5_numbers).
fof(t83_quatern3, axiom, k4_quatern3(k2_quatern2)=1).
fof(t84_quatern3, axiom, k4_quatern3(k3_quatern2)=k23_quaterni(k3_quatern2)).
fof(t85_quatern3, axiom, k4_quatern3(k10_quaterni)=k23_quaterni(k10_quaterni)).
fof(t86_quatern3, axiom, k4_quatern3(k11_quaterni)=k23_quaterni(k11_quaterni)).
fof(t87_quatern3, axiom, k2_quatern3(k23_quaterni(k2_quatern2))=1).
fof(t88_quatern3, axiom, k4_quatern3(k23_quaterni(k2_quatern2))=k4_xcmplx_0(1)).
fof(t89_quatern3, axiom,  (! [A] :  (v1_quaterni(A) => k3_quatern3(A)=k23_quaterni(k4_quatern3(k23_quaterni(A)))) ) ).
fof(dt_k2_quatern3, axiom,  (! [A] :  (m1_subset_1(A, k1_quaterni) => m1_subset_1(k2_quatern3(A), k1_quaterni)) ) ).
fof(redefinition_k2_quatern3, axiom,  (! [A] :  (m1_subset_1(A, k1_quaterni) => k2_quatern3(A)=k1_quatern3(A)) ) ).
fof(dt_k4_quatern3, axiom,  (! [A] :  (m1_subset_1(A, k1_quaterni) => m1_subset_1(k4_quatern3(A), k1_quaterni)) ) ).
fof(redefinition_k4_quatern3, axiom,  (! [A] :  (m1_subset_1(A, k1_quaterni) => k4_quatern3(A)=k3_quatern3(A)) ) ).
fof(fc1_quaterni, axiom,  ~ (v1_xboole_0(k1_quaterni)) ).
fof(rc1_quaterni, axiom,  (? [A] : v1_quaterni(A)) ).
fof(fc2_quaterni, axiom, v1_quaterni(k1_xcmplx_0)).
fof(fc3_quaterni, axiom, v1_quaterni(k3_quaterni)).
fof(fc4_quaterni, axiom, v1_quaterni(k4_quaterni)).
fof(cc1_quaterni, axiom,  (! [A] :  (m1_subset_1(A, k1_quaterni) => v1_quaterni(A)) ) ).
fof(fc5_quaterni, axiom,  (! [A, B] :  ( (v1_quaterni(A) & v1_quaterni(B))  => v1_quaterni(k6_quaterni(A, B))) ) ).
fof(fc6_quaterni, axiom,  (! [A, B] :  ( (v1_quaterni(A) & v1_quaterni(B))  => v1_quaterni(k9_quaterni(A, B))) ) ).
fof(fc7_quaterni, axiom,  (! [A] :  (v1_quaterni(A) => v1_xreal_0(k12_quaterni(A))) ) ).
fof(fc8_quaterni, axiom,  (! [A] :  (v1_quaterni(A) => v1_xreal_0(k13_quaterni(A))) ) ).
fof(fc9_quaterni, axiom,  (! [A] :  (v1_quaterni(A) => v1_xreal_0(k14_quaterni(A))) ) ).
fof(fc10_quaterni, axiom,  (! [A] :  (v1_quaterni(A) => v1_xreal_0(k15_quaterni(A))) ) ).
fof(fc11_quaterni, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_quaterni(B))  => v1_quaterni(k18_quaterni(A, B))) ) ).
fof(fc12_quaterni, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_quaterni(B))  => v1_quaterni(k20_quaterni(A, B))) ) ).
fof(fc13_quaterni, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_quaterni(B))  => v1_quaterni(k19_quaterni(A, B))) ) ).
fof(d2_quaterni, axiom,  (! [A] :  (v1_quaterni(A) <=> r2_hidden(A, k1_quaterni)) ) ).
fof(t5_quaterni, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (r1_tarski(k2_enumset1(A, B, C, D), E) <=>  (r2_tarski(A, E) &  (r2_tarski(B, E) &  (r2_tarski(C, E) & r2_tarski(D, E)) ) ) ) ) ) ) ) ) ).
fof(d3_quaterni, axiom, k3_quaterni=k2_quaterni(k4_ordinal1, k5_numbers, 1, 2, 3, k5_numbers, k5_numbers, 1, k5_numbers)).
fof(d4_quaterni, axiom, k4_quaterni=k2_quaterni(k4_ordinal1, k5_numbers, 1, 2, 3, k5_numbers, k5_numbers, k5_numbers, 1)).
fof(d5_quaterni, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_subset_1(E, k1_quaterni) =>  ( ( (C=k5_numbers & D=k5_numbers)  =>  (E=k5_quaterni(A, B, C, D) <=>  (? [F] :  (m1_subset_1(F, k1_numbers) &  (? [G] :  (m1_subset_1(G, k1_numbers) &  (F=A &  (G=B & E=k5_arytm_0(F, G)) ) ) ) ) ) ) )  &  ( ~ ( (C=k5_numbers & D=k5_numbers) )  =>  (E=k5_quaterni(A, B, C, D) <=> E=k12_funct_4(k5_numbers, 1, 2, 3, A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (? [B] :  (v1_xreal_0(B) &  (? [C] :  (v1_xreal_0(C) &  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) & A=k5_quaterni(B, C, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(t9_quaterni, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k5_arytm_3)) =>  ~ ( ( (? [B] :  (m1_subset_1(B, k5_arytm_3) &  (r2_tarski(B, A) &  ~ (B=k11_arytm_3) ) ) )  &  ( (! [B] :  (m1_subset_1(B, k5_arytm_3) =>  (! [C] :  (m1_subset_1(C, k5_arytm_3) =>  ( (r2_tarski(B, A) & r3_arytm_3(C, B))  => r2_tarski(C, A)) ) ) ) )  &  (! [B] :  (m1_subset_1(B, k5_arytm_3) =>  (! [C] :  (m1_subset_1(C, k5_arytm_3) =>  (! [D] :  (m1_subset_1(D, k5_arytm_3) =>  (! [E] :  (m1_subset_1(E, k5_arytm_3) =>  (! [F] :  (m1_subset_1(F, k5_arytm_3) =>  ~ ( (r2_tarski(B, A) &  (r2_tarski(C, A) &  (r2_tarski(D, A) &  (r2_tarski(E, A) &  (r2_tarski(F, A) &  ( ~ (B=C)  &  ( ~ (B=D)  &  ( ~ (B=E)  &  ( ~ (B=F)  &  ( ~ (C=D)  &  ( ~ (C=E)  &  ( ~ (C=F)  &  ( ~ (D=E)  &  ( ~ (D=F)  &  ~ (E=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_quaterni, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ (r2_tarski(k12_funct_4(k5_numbers, 1, 2, 3, A, B, C, D), k2_numbers)) ) ) ) ) ) ) ) ) ).
fof(t12_quaterni, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (k5_quaterni(A, B, C, D)=k5_quaterni(E, F, G, H) =>  (A=E &  (B=F &  (C=G & D=H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (C=k6_quaterni(A, B) <=>  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (? [F] :  (v1_xreal_0(F) &  (? [G] :  (v1_xreal_0(G) &  (? [H] :  (v1_xreal_0(H) &  (? [I] :  (v1_xreal_0(I) &  (? [J] :  (v1_xreal_0(J) &  (? [K] :  (v1_xreal_0(K) &  (A=k5_quaterni(D, E, F, G) &  (B=k5_quaterni(H, I, J, K) & C=k5_quaterni(k2_xcmplx_0(D, H), k2_xcmplx_0(E, I), k2_xcmplx_0(F, J), k2_xcmplx_0(G, K))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (B=k7_quaterni(A) <=> k6_quaterni(A, B)=k5_numbers) ) ) ) ) ).
fof(d8_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => k8_quaterni(A, B)=k6_quaterni(A, k7_quaterni(B))) ) ) ) ).
fof(d9_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (C=k9_quaterni(A, B) <=>  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (? [F] :  (v1_xreal_0(F) &  (? [G] :  (v1_xreal_0(G) &  (? [H] :  (v1_xreal_0(H) &  (? [I] :  (v1_xreal_0(I) &  (? [J] :  (v1_xreal_0(J) &  (? [K] :  (v1_xreal_0(K) &  (A=k5_quaterni(D, E, F, G) &  (B=k5_quaterni(H, I, J, K) & C=k5_quaterni(k6_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(D, H), k3_xcmplx_0(E, I)), k3_xcmplx_0(F, J)), k3_xcmplx_0(G, K)), k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(D, I), k3_xcmplx_0(E, H)), k3_xcmplx_0(F, K)), k3_xcmplx_0(G, J)), k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(D, J), k3_xcmplx_0(H, F)), k3_xcmplx_0(I, G)), k3_xcmplx_0(K, E)), k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(D, K), k3_xcmplx_0(G, H)), k3_xcmplx_0(E, J)), k3_xcmplx_0(F, I)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_quaterni, axiom, k10_quaterni=k5_quaterni(k5_numbers, k5_numbers, 1, k5_numbers)).
fof(d11_quaterni, axiom, k11_quaterni=k5_quaterni(k5_numbers, k5_numbers, k5_numbers, 1)).
fof(t13_quaterni, axiom, k9_quaterni(k1_xcmplx_0, k1_xcmplx_0)=k4_xcmplx_0(1)).
fof(t14_quaterni, axiom, k9_quaterni(k10_quaterni, k10_quaterni)=k4_xcmplx_0(1)).
fof(t15_quaterni, axiom, k9_quaterni(k11_quaterni, k11_quaterni)=k4_xcmplx_0(1)).
fof(t16_quaterni, axiom, k9_quaterni(k1_xcmplx_0, k10_quaterni)=k11_quaterni).
fof(t17_quaterni, axiom, k9_quaterni(k10_quaterni, k11_quaterni)=k1_xcmplx_0).
fof(t18_quaterni, axiom, k9_quaterni(k11_quaterni, k1_xcmplx_0)=k10_quaterni).
fof(t19_quaterni, axiom, k9_quaterni(k1_xcmplx_0, k10_quaterni)=k7_quaterni(k9_quaterni(k10_quaterni, k1_xcmplx_0))).
fof(t20_quaterni, axiom, k9_quaterni(k10_quaterni, k11_quaterni)=k7_quaterni(k9_quaterni(k11_quaterni, k10_quaterni))).
fof(t21_quaterni, axiom, k9_quaterni(k11_quaterni, k1_xcmplx_0)=k7_quaterni(k9_quaterni(k1_xcmplx_0, k11_quaterni))).
fof(d12_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  ( (r2_hidden(A, k2_numbers) =>  (B=k12_quaterni(A) <=>  (? [C] :  (v1_xcmplx_0(C) &  (A=C & B=k3_complex1(C)) ) ) ) )  &  ( ~ (r2_hidden(A, k2_numbers))  =>  (B=k12_quaterni(A) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, 4, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(4, k1_numbers)))) )  &  (A=C & B=k1_funct_1(C, k5_numbers)) ) ) ) ) ) ) ) ) ).
fof(d13_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  ( (r2_hidden(A, k2_numbers) =>  (B=k13_quaterni(A) <=>  (? [C] :  (v1_xcmplx_0(C) &  (A=C & B=k4_complex1(C)) ) ) ) )  &  ( ~ (r2_hidden(A, k2_numbers))  =>  (B=k13_quaterni(A) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, 4, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(4, k1_numbers)))) )  &  (A=C & B=k1_funct_1(C, 1)) ) ) ) ) ) ) ) ) ).
fof(d14_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  ( (r2_hidden(A, k2_numbers) =>  (B=k14_quaterni(A) <=> B=k5_numbers) )  &  ( ~ (r2_hidden(A, k2_numbers))  =>  (B=k14_quaterni(A) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, 4, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(4, k1_numbers)))) )  &  (A=C & B=k1_funct_1(C, 2)) ) ) ) ) ) ) ) ) ).
fof(d15_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  ( (r2_hidden(A, k2_numbers) =>  (B=k15_quaterni(A) <=> B=k5_numbers) )  &  ( ~ (r2_hidden(A, k2_numbers))  =>  (B=k15_quaterni(A) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, 4, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(4, k1_numbers)))) )  &  (A=C & B=k1_funct_1(C, 3)) ) ) ) ) ) ) ) ) ).
fof(t22_quaterni, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, 4, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(4, k1_numbers)))) )  =>  (? [B] :  (v1_xreal_0(B) &  (? [C] :  (v1_xreal_0(C) &  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) & A=k12_funct_4(k5_numbers, 1, 2, 3, B, C, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(t23_quaterni, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (k12_quaterni(k5_quaterni(A, B, C, D))=A &  (k13_quaterni(k5_quaterni(A, B, C, D))=B &  (k14_quaterni(k5_quaterni(A, B, C, D))=C & k15_quaterni(k5_quaterni(A, B, C, D))=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_quaterni, axiom,  (! [A] :  (v1_quaterni(A) => A=k5_quaterni(k12_quaterni(A), k13_quaterni(A), k14_quaterni(A), k15_quaterni(A))) ) ).
fof(t25_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  ( (k12_quaterni(A)=k12_quaterni(B) &  (k13_quaterni(A)=k13_quaterni(B) &  (k14_quaterni(A)=k14_quaterni(B) & k15_quaterni(A)=k15_quaterni(B)) ) )  => A=B) ) ) ) ) ).
fof(d16_quaterni, axiom, k16_quaterni=k5_numbers).
fof(d17_quaterni, axiom, k17_quaterni=1).
fof(t26_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  ( (k12_quaterni(A)=k5_numbers &  (k13_quaterni(A)=k5_numbers &  (k14_quaterni(A)=k5_numbers & k15_quaterni(A)=k5_numbers) ) )  => A=k16_quaterni) ) ) ).
fof(t27_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (A=k5_numbers => k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(k12_quaterni(A)), k1_square_1(k13_quaterni(A))), k1_square_1(k14_quaterni(A))), k1_square_1(k15_quaterni(A)))=k5_numbers) ) ) ).
fof(t28_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(k12_quaterni(A)), k1_square_1(k13_quaterni(A))), k1_square_1(k14_quaterni(A))), k1_square_1(k15_quaterni(A)))=k5_numbers => A=k16_quaterni) ) ) ).
fof(t29_quaterni, axiom,  (k12_quaterni(k17_quaterni)=1 &  (k13_quaterni(k17_quaterni)=k5_numbers &  (k14_quaterni(k17_quaterni)=k5_numbers & k15_quaterni(k17_quaterni)=k5_numbers) ) ) ).
fof(t30_quaterni, axiom,  (k12_quaterni(k1_xcmplx_0)=k5_numbers &  (k13_quaterni(k1_xcmplx_0)=1 &  (k14_quaterni(k1_xcmplx_0)=k5_numbers & k15_quaterni(k1_xcmplx_0)=k5_numbers) ) ) ).
fof(t31_quaterni, axiom,  (k12_quaterni(k10_quaterni)=k5_numbers &  (k13_quaterni(k10_quaterni)=k5_numbers &  (k14_quaterni(k10_quaterni)=1 &  (k15_quaterni(k10_quaterni)=k5_numbers &  (k12_quaterni(k11_quaterni)=k5_numbers &  (k13_quaterni(k11_quaterni)=k5_numbers &  (k14_quaterni(k11_quaterni)=k5_numbers & k15_quaterni(k11_quaterni)=1) ) ) ) ) ) ) ).
fof(t32_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) =>  (! [D] :  (v1_quaterni(D) =>  (k12_quaterni(k6_quaterni(k6_quaterni(k6_quaterni(A, B), C), D))=k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k12_quaterni(A), k12_quaterni(B)), k12_quaterni(C)), k12_quaterni(D)) &  (k13_quaterni(k6_quaterni(k6_quaterni(k6_quaterni(A, B), C), D))=k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k13_quaterni(A), k13_quaterni(B)), k13_quaterni(C)), k13_quaterni(D)) &  (k14_quaterni(k6_quaterni(k6_quaterni(k6_quaterni(A, B), C), D))=k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k14_quaterni(A), k14_quaterni(B)), k14_quaterni(C)), k14_quaterni(D)) & k15_quaterni(k6_quaterni(k6_quaterni(k6_quaterni(A, B), C), D))=k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k15_quaterni(A), k15_quaterni(B)), k15_quaterni(C)), k15_quaterni(D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_xreal_0(B) =>  (A=B =>  (k12_quaterni(k9_quaterni(A, k1_xcmplx_0))=k5_numbers &  (k13_quaterni(k9_quaterni(A, k1_xcmplx_0))=B &  (k14_quaterni(k9_quaterni(A, k1_xcmplx_0))=k5_numbers & k15_quaterni(k9_quaterni(A, k1_xcmplx_0))=k5_numbers) ) ) ) ) ) ) ) ).
fof(t34_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_xreal_0(B) =>  (A=B =>  (k12_quaterni(k9_quaterni(A, k10_quaterni))=k5_numbers &  (k13_quaterni(k9_quaterni(A, k10_quaterni))=k5_numbers &  (k14_quaterni(k9_quaterni(A, k10_quaterni))=B & k15_quaterni(k9_quaterni(A, k10_quaterni))=k5_numbers) ) ) ) ) ) ) ) ).
fof(t35_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_xreal_0(B) =>  (A=B =>  (k12_quaterni(k9_quaterni(A, k11_quaterni))=k5_numbers &  (k13_quaterni(k9_quaterni(A, k11_quaterni))=k5_numbers &  (k14_quaterni(k9_quaterni(A, k11_quaterni))=k5_numbers & k15_quaterni(k9_quaterni(A, k11_quaterni))=B) ) ) ) ) ) ) ) ).
fof(d18_quaterni, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (C=k18_quaterni(A, B) <=>  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (? [F] :  (v1_xreal_0(F) &  (? [G] :  (v1_xreal_0(G) &  (B=k5_quaterni(D, E, F, G) & C=k5_quaterni(k2_xcmplx_0(A, D), E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d19_quaterni, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_quaterni(B) => k19_quaterni(A, B)=k18_quaterni(A, k7_quaterni(B))) ) ) ) ).
fof(d20_quaterni, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (C=k20_quaterni(A, B) <=>  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (? [F] :  (v1_xreal_0(F) &  (? [G] :  (v1_xreal_0(G) &  (B=k5_quaterni(D, E, F, G) & C=k5_quaterni(k3_xcmplx_0(A, D), k3_xcmplx_0(A, E), k3_xcmplx_0(A, F), k3_xcmplx_0(A, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (k12_quaterni(k21_quaterni(A, B))=k2_xcmplx_0(k12_quaterni(A), k12_quaterni(B)) &  (k13_quaterni(k21_quaterni(A, B))=k2_xcmplx_0(k13_quaterni(A), k13_quaterni(B)) &  (k14_quaterni(k21_quaterni(A, B))=k2_xcmplx_0(k14_quaterni(A), k14_quaterni(B)) & k15_quaterni(k21_quaterni(A, B))=k2_xcmplx_0(k15_quaterni(A), k15_quaterni(B))) ) ) ) ) ) ) ).
fof(t37_quaterni, axiom,  (! [A] :  (v1_quaterni(A) => A=k21_quaterni(k21_quaterni(k18_quaterni(k12_quaterni(A), k20_quaterni(k13_quaterni(A), k1_xcmplx_0)), k20_quaterni(k14_quaterni(A), k10_quaterni)), k20_quaterni(k15_quaterni(A), k11_quaterni))) ) ).
fof(t38_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  ( (k13_quaterni(A)=k5_numbers &  (k13_quaterni(B)=k5_numbers &  (k14_quaterni(A)=k5_numbers &  (k14_quaterni(B)=k5_numbers &  (k15_quaterni(A)=k5_numbers & k15_quaterni(B)=k5_numbers) ) ) ) )  =>  (k12_quaterni(k22_quaterni(A, B))=k3_xcmplx_0(k12_quaterni(A), k12_quaterni(B)) &  (k13_quaterni(k22_quaterni(A, B))=k6_xcmplx_0(k3_xcmplx_0(k14_quaterni(A), k15_quaterni(B)), k3_xcmplx_0(k15_quaterni(A), k14_quaterni(B))) &  (k14_quaterni(k22_quaterni(A, B))=k6_xcmplx_0(k3_xcmplx_0(k15_quaterni(A), k13_quaterni(B)), k3_xcmplx_0(k13_quaterni(A), k15_quaterni(B))) & k15_quaterni(k22_quaterni(A, B))=k6_xcmplx_0(k3_xcmplx_0(k13_quaterni(A), k14_quaterni(B)), k3_xcmplx_0(k14_quaterni(A), k13_quaterni(B)))) ) ) ) ) ) ) ) ).
fof(t39_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  ( (k12_quaterni(A)=k5_numbers & k12_quaterni(B)=k5_numbers)  =>  (k12_quaterni(k22_quaterni(A, B))=k6_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(k3_xcmplx_0(k13_quaterni(A), k13_quaterni(B))), k3_xcmplx_0(k14_quaterni(A), k14_quaterni(B))), k3_xcmplx_0(k15_quaterni(A), k15_quaterni(B))) &  (k13_quaterni(k22_quaterni(A, B))=k6_xcmplx_0(k3_xcmplx_0(k14_quaterni(A), k15_quaterni(B)), k3_xcmplx_0(k15_quaterni(A), k14_quaterni(B))) &  (k14_quaterni(k22_quaterni(A, B))=k6_xcmplx_0(k3_xcmplx_0(k15_quaterni(A), k13_quaterni(B)), k3_xcmplx_0(k13_quaterni(A), k15_quaterni(B))) & k15_quaterni(k22_quaterni(A, B))=k6_xcmplx_0(k3_xcmplx_0(k13_quaterni(A), k14_quaterni(B)), k3_xcmplx_0(k14_quaterni(A), k13_quaterni(B)))) ) ) ) ) ) ) ) ).
fof(t40_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (k12_quaterni(k22_quaterni(A, A))=k6_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k1_square_1(k12_quaterni(A)), k1_square_1(k13_quaterni(A))), k1_square_1(k14_quaterni(A))), k1_square_1(k15_quaterni(A))) &  (k13_quaterni(k22_quaterni(A, A))=k3_xcmplx_0(2, k3_xcmplx_0(k12_quaterni(A), k13_quaterni(A))) &  (k14_quaterni(k22_quaterni(A, A))=k3_xcmplx_0(2, k3_xcmplx_0(k12_quaterni(A), k14_quaterni(A))) & k15_quaterni(k22_quaterni(A, A))=k3_xcmplx_0(2, k3_xcmplx_0(k12_quaterni(A), k15_quaterni(A)))) ) ) ) ) ).
fof(t41_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (k12_quaterni(k23_quaterni(A))=k4_xcmplx_0(k12_quaterni(A)) &  (k13_quaterni(k23_quaterni(A))=k4_xcmplx_0(k13_quaterni(A)) &  (k14_quaterni(k23_quaterni(A))=k4_xcmplx_0(k14_quaterni(A)) & k15_quaterni(k23_quaterni(A))=k4_xcmplx_0(k15_quaterni(A))) ) ) ) ) ).
fof(t42_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (k12_quaterni(k24_quaterni(A, B))=k6_xcmplx_0(k12_quaterni(A), k12_quaterni(B)) &  (k13_quaterni(k24_quaterni(A, B))=k6_xcmplx_0(k13_quaterni(A), k13_quaterni(B)) &  (k14_quaterni(k24_quaterni(A, B))=k6_xcmplx_0(k14_quaterni(A), k14_quaterni(B)) & k15_quaterni(k24_quaterni(A, B))=k6_xcmplx_0(k15_quaterni(A), k15_quaterni(B))) ) ) ) ) ) ) ).
fof(d21_quaterni, axiom,  (! [A] :  (v1_quaterni(A) => k25_quaterni(A)=k21_quaterni(k21_quaterni(k18_quaterni(k12_quaterni(A), k20_quaterni(k4_xcmplx_0(k13_quaterni(A)), k1_xcmplx_0)), k20_quaterni(k4_xcmplx_0(k14_quaterni(A)), k10_quaterni)), k20_quaterni(k4_xcmplx_0(k15_quaterni(A)), k11_quaterni))) ) ).
fof(t43_quaterni, axiom,  (! [A] :  (v1_quaterni(A) => k26_quaterni(A)=k5_quaterni(k12_quaterni(A), k4_xcmplx_0(k13_quaterni(A)), k4_xcmplx_0(k14_quaterni(A)), k4_xcmplx_0(k15_quaterni(A)))) ) ).
fof(t44_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (k12_quaterni(k26_quaterni(A))=k12_quaterni(A) &  (k13_quaterni(k26_quaterni(A))=k4_xcmplx_0(k13_quaterni(A)) &  (k14_quaterni(k26_quaterni(A))=k4_xcmplx_0(k14_quaterni(A)) & k15_quaterni(k26_quaterni(A))=k4_xcmplx_0(k15_quaterni(A))) ) ) ) ) ).
fof(t45_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (A=k5_numbers => k26_quaterni(A)=k5_numbers) ) ) ).
fof(t46_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (k26_quaterni(A)=k5_numbers => A=k5_numbers) ) ) ).
fof(t47_quaterni, axiom, k26_quaterni(k17_quaterni)=k17_quaterni).
fof(t48_quaterni, axiom,  (k12_quaterni(k26_quaterni(k1_xcmplx_0))=k5_numbers &  (k13_quaterni(k26_quaterni(k1_xcmplx_0))=k4_xcmplx_0(1) &  (k14_quaterni(k26_quaterni(k1_xcmplx_0))=k5_numbers & k15_quaterni(k26_quaterni(k1_xcmplx_0))=k5_numbers) ) ) ).
fof(t49_quaterni, axiom,  (k12_quaterni(k26_quaterni(k10_quaterni))=k5_numbers &  (k13_quaterni(k26_quaterni(k10_quaterni))=k5_numbers &  (k14_quaterni(k26_quaterni(k10_quaterni))=k4_xcmplx_0(1) & k15_quaterni(k26_quaterni(k10_quaterni))=k5_numbers) ) ) ).
fof(t50_quaterni, axiom,  (k12_quaterni(k26_quaterni(k11_quaterni))=k5_numbers &  (k13_quaterni(k26_quaterni(k11_quaterni))=k5_numbers &  (k14_quaterni(k26_quaterni(k11_quaterni))=k5_numbers & k15_quaterni(k26_quaterni(k11_quaterni))=k4_xcmplx_0(1)) ) ) ).
fof(t51_quaterni, axiom, k26_quaterni(k1_xcmplx_0)=k23_quaterni(k1_xcmplx_0)).
fof(t52_quaterni, axiom, k26_quaterni(k10_quaterni)=k23_quaterni(k10_quaterni)).
fof(t53_quaterni, axiom, k26_quaterni(k11_quaterni)=k23_quaterni(k11_quaterni)).
fof(t54_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => k26_quaterni(k21_quaterni(A, B))=k21_quaterni(k26_quaterni(A), k26_quaterni(B))) ) ) ) ).
fof(t55_quaterni, axiom,  (! [A] :  (v1_quaterni(A) => k26_quaterni(k23_quaterni(A))=k23_quaterni(k26_quaterni(A))) ) ).
fof(t56_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => k26_quaterni(k24_quaterni(A, B))=k24_quaterni(k26_quaterni(A), k26_quaterni(B))) ) ) ) ).
fof(t57_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (k26_quaterni(k22_quaterni(A, B))=k22_quaterni(k26_quaterni(A), k26_quaterni(B)) => k3_xcmplx_0(k14_quaterni(A), k15_quaterni(B))=k3_xcmplx_0(k15_quaterni(A), k14_quaterni(B))) ) ) ) ) ).
fof(t58_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  ( (k13_quaterni(A)=k5_numbers &  (k14_quaterni(A)=k5_numbers & k15_quaterni(A)=k5_numbers) )  => k26_quaterni(A)=A) ) ) ).
fof(t59_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (k12_quaterni(A)=k5_numbers => k26_quaterni(A)=k23_quaterni(A)) ) ) ).
fof(t60_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (k12_quaterni(k22_quaterni(A, k26_quaterni(A)))=k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(k12_quaterni(A)), k1_square_1(k13_quaterni(A))), k1_square_1(k14_quaterni(A))), k1_square_1(k15_quaterni(A))) &  (k13_quaterni(k22_quaterni(A, k26_quaterni(A)))=k5_numbers &  (k14_quaterni(k22_quaterni(A, k26_quaterni(A)))=k5_numbers & k15_quaterni(k22_quaterni(A, k26_quaterni(A)))=k5_numbers) ) ) ) ) ).
fof(t61_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (k12_quaterni(k21_quaterni(A, k26_quaterni(A)))=k3_xcmplx_0(2, k12_quaterni(A)) &  (k13_quaterni(k21_quaterni(A, k26_quaterni(A)))=k5_numbers &  (k14_quaterni(k21_quaterni(A, k26_quaterni(A)))=k5_numbers & k15_quaterni(k21_quaterni(A, k26_quaterni(A)))=k5_numbers) ) ) ) ) ).
fof(t62_quaterni, axiom,  (! [A] :  (v1_quaterni(A) => k23_quaterni(A)=k5_quaterni(k4_xcmplx_0(k12_quaterni(A)), k4_xcmplx_0(k13_quaterni(A)), k4_xcmplx_0(k14_quaterni(A)), k4_xcmplx_0(k15_quaterni(A)))) ) ).
fof(t63_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => k24_quaterni(A, B)=k5_quaterni(k6_xcmplx_0(k12_quaterni(A), k12_quaterni(B)), k6_xcmplx_0(k13_quaterni(A), k13_quaterni(B)), k6_xcmplx_0(k14_quaterni(A), k14_quaterni(B)), k6_xcmplx_0(k15_quaterni(A), k15_quaterni(B)))) ) ) ) ).
fof(t64_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (k12_quaterni(k24_quaterni(A, k26_quaterni(A)))=k5_numbers &  (k13_quaterni(k24_quaterni(A, k26_quaterni(A)))=k3_xcmplx_0(2, k13_quaterni(A)) &  (k14_quaterni(k24_quaterni(A, k26_quaterni(A)))=k3_xcmplx_0(2, k14_quaterni(A)) & k15_quaterni(k24_quaterni(A, k26_quaterni(A)))=k3_xcmplx_0(2, k15_quaterni(A))) ) ) ) ) ).
fof(d22_quaterni, axiom,  (! [A] :  (v1_quaterni(A) => k27_quaterni(A)=k3_square_1(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(k12_quaterni(A)), k1_square_1(k13_quaterni(A))), k1_square_1(k14_quaterni(A))), k1_square_1(k15_quaterni(A))))) ) ).
fof(t65_quaterni, axiom, k27_quaterni(k16_quaterni)=k5_numbers).
fof(t66_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (k27_quaterni(A)=k5_numbers => A=k5_numbers) ) ) ).
fof(t67_quaterni, axiom,  (! [A] :  (v1_quaterni(A) => r1_xxreal_0(k5_numbers, k27_quaterni(A))) ) ).
fof(t68_quaterni, axiom, k27_quaterni(k17_quaterni)=1).
fof(t69_quaterni, axiom, k27_quaterni(k1_xcmplx_0)=1).
fof(t70_quaterni, axiom, k27_quaterni(k10_quaterni)=1).
fof(t71_quaterni, axiom, k27_quaterni(k11_quaterni)=1).
fof(t72_quaterni, axiom,  (! [A] :  (v1_quaterni(A) => k27_quaterni(k23_quaterni(A))=k27_quaterni(A)) ) ).
fof(t73_quaterni, axiom,  (! [A] :  (v1_quaterni(A) => k27_quaterni(k26_quaterni(A))=k27_quaterni(A)) ) ).
fof(t74_quaterni, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => r1_xxreal_0(k5_numbers, k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(A), k1_square_1(B)), k1_square_1(C)), k1_square_1(D)))) ) ) ) ) ) ) ) ).
fof(t75_quaterni, axiom,  (! [A] :  (v1_quaterni(A) => r1_xxreal_0(k12_quaterni(A), k27_quaterni(A))) ) ).
fof(t76_quaterni, axiom,  (! [A] :  (v1_quaterni(A) => r1_xxreal_0(k13_quaterni(A), k27_quaterni(A))) ) ).
fof(t77_quaterni, axiom,  (! [A] :  (v1_quaterni(A) => r1_xxreal_0(k14_quaterni(A), k27_quaterni(A))) ) ).
fof(t78_quaterni, axiom,  (! [A] :  (v1_quaterni(A) => r1_xxreal_0(k15_quaterni(A), k27_quaterni(A))) ) ).
fof(t79_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => r1_xxreal_0(k27_quaterni(k21_quaterni(A, B)), k2_xcmplx_0(k27_quaterni(A), k27_quaterni(B)))) ) ) ) ).
fof(t80_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => r1_xxreal_0(k27_quaterni(k24_quaterni(A, B)), k2_xcmplx_0(k27_quaterni(A), k27_quaterni(B)))) ) ) ) ).
fof(t81_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => r1_xxreal_0(k6_xcmplx_0(k27_quaterni(A), k27_quaterni(B)), k27_quaterni(k21_quaterni(A, B)))) ) ) ) ).
fof(t82_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => r1_xxreal_0(k6_xcmplx_0(k27_quaterni(A), k27_quaterni(B)), k27_quaterni(k24_quaterni(A, B)))) ) ) ) ).
fof(t83_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => k27_quaterni(k24_quaterni(A, B))=k27_quaterni(k24_quaterni(B, A))) ) ) ) ).
fof(t84_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (k27_quaterni(k24_quaterni(A, B))=k5_numbers <=> A=B) ) ) ) ) ).
fof(t85_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (! [C] :  (v1_quaterni(C) => r1_xxreal_0(k27_quaterni(k24_quaterni(B, C)), k2_xcmplx_0(k27_quaterni(k24_quaterni(B, A)), k27_quaterni(k24_quaterni(A, C))))) ) ) ) ) ) ).
fof(t86_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k27_quaterni(A), k27_quaterni(B))), k27_quaterni(k24_quaterni(A, B)))) ) ) ) ).
fof(t87_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => k27_quaterni(k22_quaterni(A, B))=k3_xcmplx_0(k27_quaterni(A), k27_quaterni(B))) ) ) ) ).
fof(t88_quaterni, axiom,  (! [A] :  (v1_quaterni(A) => k27_quaterni(k22_quaterni(A, A))=k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(k12_quaterni(A)), k1_square_1(k13_quaterni(A))), k1_square_1(k14_quaterni(A))), k1_square_1(k15_quaterni(A)))) ) ).
fof(t89_quaterni, axiom,  (! [A] :  (v1_quaterni(A) => k27_quaterni(k22_quaterni(A, A))=k27_quaterni(k22_quaterni(A, k26_quaterni(A)))) ) ).
fof(t90_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (v1_xreal_0(A) =>  (k12_quaterni(A)=A &  (k13_quaterni(A)=k5_numbers &  (k14_quaterni(A)=k5_numbers & k15_quaterni(A)=k5_numbers) ) ) ) ) ) ).
fof(t91_quaterni, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k1_numbers) => k5_quaterni(A, B, k5_numbers, k5_numbers)=k5_arytm_0(A, B)) ) ) ) ).
fof(t92_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => k21_quaterni(A, B)=k21_quaterni(k21_quaterni(k18_quaterni(k2_xcmplx_0(k12_quaterni(A), k12_quaterni(B)), k20_quaterni(k2_xcmplx_0(k13_quaterni(A), k13_quaterni(B)), k1_xcmplx_0)), k20_quaterni(k2_xcmplx_0(k14_quaterni(A), k14_quaterni(B)), k10_quaterni)), k20_quaterni(k2_xcmplx_0(k15_quaterni(A), k15_quaterni(B)), k11_quaterni))) ) ) ) ).
fof(t93_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => k22_quaterni(A, B)=k21_quaterni(k21_quaterni(k18_quaterni(k6_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k12_quaterni(A), k12_quaterni(B)), k3_xcmplx_0(k13_quaterni(A), k13_quaterni(B))), k3_xcmplx_0(k14_quaterni(A), k14_quaterni(B))), k3_xcmplx_0(k15_quaterni(A), k15_quaterni(B))), k20_quaterni(k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k12_quaterni(A), k13_quaterni(B)), k3_xcmplx_0(k13_quaterni(A), k12_quaterni(B))), k3_xcmplx_0(k14_quaterni(A), k15_quaterni(B))), k3_xcmplx_0(k15_quaterni(A), k14_quaterni(B))), k1_xcmplx_0)), k20_quaterni(k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k12_quaterni(A), k14_quaterni(B)), k3_xcmplx_0(k14_quaterni(A), k12_quaterni(B))), k3_xcmplx_0(k15_quaterni(A), k13_quaterni(B))), k3_xcmplx_0(k13_quaterni(A), k15_quaterni(B))), k10_quaterni)), k20_quaterni(k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k12_quaterni(A), k15_quaterni(B)), k3_xcmplx_0(k15_quaterni(A), k12_quaterni(B))), k3_xcmplx_0(k13_quaterni(A), k14_quaterni(B))), k3_xcmplx_0(k14_quaterni(A), k13_quaterni(B))), k11_quaterni))) ) ) ) ).
fof(t94_quaterni, axiom,  (! [A] :  (v1_quaterni(A) => k23_quaterni(A)=k21_quaterni(k21_quaterni(k18_quaterni(k4_xcmplx_0(k12_quaterni(A)), k20_quaterni(k4_xcmplx_0(k13_quaterni(A)), k1_xcmplx_0)), k20_quaterni(k4_xcmplx_0(k14_quaterni(A)), k10_quaterni)), k20_quaterni(k4_xcmplx_0(k15_quaterni(A)), k11_quaterni))) ) ).
fof(t95_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => k24_quaterni(A, B)=k21_quaterni(k21_quaterni(k18_quaterni(k6_xcmplx_0(k12_quaterni(A), k12_quaterni(B)), k20_quaterni(k6_xcmplx_0(k13_quaterni(A), k13_quaterni(B)), k1_xcmplx_0)), k20_quaterni(k6_xcmplx_0(k14_quaterni(A), k14_quaterni(B)), k10_quaterni)), k20_quaterni(k6_xcmplx_0(k15_quaterni(A), k15_quaterni(B)), k11_quaterni))) ) ) ) ).
fof(t96_quaterni, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(A), k1_square_1(B)), k1_square_1(C)), k1_square_1(D))=k5_numbers =>  (A=k5_numbers &  (B=k5_numbers &  (C=k5_numbers & D=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t97_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) =>  (k12_quaterni(k22_quaterni(A, B))=k6_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k12_quaterni(A), k12_quaterni(B)), k3_xcmplx_0(k13_quaterni(A), k13_quaterni(B))), k3_xcmplx_0(k14_quaterni(A), k14_quaterni(B))), k3_xcmplx_0(k15_quaterni(A), k15_quaterni(B))) &  (k13_quaterni(k22_quaterni(A, B))=k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k12_quaterni(A), k13_quaterni(B)), k3_xcmplx_0(k13_quaterni(A), k12_quaterni(B))), k3_xcmplx_0(k14_quaterni(A), k15_quaterni(B))), k3_xcmplx_0(k15_quaterni(A), k14_quaterni(B))) &  (k14_quaterni(k22_quaterni(A, B))=k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k12_quaterni(A), k14_quaterni(B)), k3_xcmplx_0(k14_quaterni(A), k12_quaterni(B))), k3_xcmplx_0(k15_quaterni(A), k13_quaterni(B))), k3_xcmplx_0(k13_quaterni(A), k15_quaterni(B))) & k15_quaterni(k22_quaterni(A, B))=k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k12_quaterni(A), k15_quaterni(B)), k3_xcmplx_0(k15_quaterni(A), k12_quaterni(B))), k3_xcmplx_0(k13_quaterni(A), k14_quaterni(B))), k3_xcmplx_0(k14_quaterni(A), k13_quaterni(B)))) ) ) ) ) ) ) ).
fof(dt_k2_quaterni, axiom,  (! [A, B, C, D, E, F, G, H, I] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(F, A) &  (m1_subset_1(G, A) &  (m1_subset_1(H, A) & m1_subset_1(I, A)) ) ) )  =>  (v1_funct_1(k2_quaterni(A, B, C, D, E, F, G, H, I)) &  (v1_funct_2(k2_quaterni(A, B, C, D, E, F, G, H, I), k2_enumset1(B, C, D, E), A) & m1_subset_1(k2_quaterni(A, B, C, D, E, F, G, H, I), k1_zfmisc_1(k2_zfmisc_1(k2_enumset1(B, C, D, E), A)))) ) ) ) ).
fof(redefinition_k2_quaterni, axiom,  (! [A, B, C, D, E, F, G, H, I] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(F, A) &  (m1_subset_1(G, A) &  (m1_subset_1(H, A) & m1_subset_1(I, A)) ) ) )  => k2_quaterni(A, B, C, D, E, F, G, H, I)=k12_funct_4(B, C, D, E, F, G, H, I)) ) ).
fof(dt_k5_quaterni, axiom,  (! [A, B, C, D] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v1_xreal_0(C) & v1_xreal_0(D)) ) )  => m1_subset_1(k5_quaterni(A, B, C, D), k1_quaterni)) ) ).
fof(commutativity_k6_quaterni, axiom,  (! [A, B] :  ( (v1_quaterni(A) & v1_quaterni(B))  => k6_quaterni(A, B)=k6_quaterni(B, A)) ) ).
fof(dt_k7_quaterni, axiom,  (! [A] :  (v1_quaterni(A) => v1_quaterni(k7_quaterni(A))) ) ).
fof(involutiveness_k7_quaterni, axiom,  (! [A] :  (v1_quaterni(A) => k7_quaterni(k7_quaterni(A))=A) ) ).
fof(dt_k10_quaterni, axiom, m1_subset_1(k10_quaterni, k1_quaterni)).
fof(redefinition_k10_quaterni, axiom, k10_quaterni=k3_quaterni).
fof(dt_k11_quaterni, axiom, m1_subset_1(k11_quaterni, k1_quaterni)).
fof(redefinition_k11_quaterni, axiom, k11_quaterni=k4_quaterni).
fof(dt_k16_quaterni, axiom, v1_quaterni(k16_quaterni)).
fof(dt_k17_quaterni, axiom, v1_quaterni(k17_quaterni)).
fof(dt_k21_quaterni, axiom,  (! [A, B] :  ( (v1_quaterni(A) & v1_quaterni(B))  => m1_subset_1(k21_quaterni(A, B), k1_quaterni)) ) ).
fof(commutativity_k21_quaterni, axiom,  (! [A, B] :  ( (v1_quaterni(A) & v1_quaterni(B))  => k21_quaterni(A, B)=k21_quaterni(B, A)) ) ).
fof(redefinition_k21_quaterni, axiom,  (! [A, B] :  ( (v1_quaterni(A) & v1_quaterni(B))  => k21_quaterni(A, B)=k6_quaterni(A, B)) ) ).
fof(dt_k22_quaterni, axiom,  (! [A, B] :  ( (v1_quaterni(A) & v1_quaterni(B))  => m1_subset_1(k22_quaterni(A, B), k1_quaterni)) ) ).
fof(redefinition_k22_quaterni, axiom,  (! [A, B] :  ( (v1_quaterni(A) & v1_quaterni(B))  => k22_quaterni(A, B)=k9_quaterni(A, B)) ) ).
fof(dt_k23_quaterni, axiom,  (! [A] :  (v1_quaterni(A) => m1_subset_1(k23_quaterni(A), k1_quaterni)) ) ).
fof(involutiveness_k23_quaterni, axiom,  (! [A] :  (v1_quaterni(A) => k23_quaterni(k23_quaterni(A))=A) ) ).
fof(redefinition_k23_quaterni, axiom,  (! [A] :  (v1_quaterni(A) => k23_quaterni(A)=k7_quaterni(A)) ) ).
fof(dt_k24_quaterni, axiom,  (! [A, B] :  ( (v1_quaterni(A) & v1_quaterni(B))  => m1_subset_1(k24_quaterni(A, B), k1_quaterni)) ) ).
fof(redefinition_k24_quaterni, axiom,  (! [A, B] :  ( (v1_quaterni(A) & v1_quaterni(B))  => k24_quaterni(A, B)=k8_quaterni(A, B)) ) ).
fof(dt_k25_quaterni, axiom,  (! [A] :  (v1_quaterni(A) => v1_quaterni(k25_quaterni(A))) ) ).
fof(dt_k26_quaterni, axiom,  (! [A] :  (v1_quaterni(A) => m1_subset_1(k26_quaterni(A), k1_quaterni)) ) ).
fof(redefinition_k26_quaterni, axiom,  (! [A] :  (v1_quaterni(A) => k26_quaterni(A)=k25_quaterni(A)) ) ).
fof(dt_k27_quaterni, axiom,  (! [A] :  (v1_quaterni(A) => v1_xreal_0(k27_quaterni(A))) ) ).
fof(d1_quaterni, axiom, k1_quaterni=k2_xboole_0(k6_subset_1(k9_funct_2(4, k1_numbers), a_0_0_quaterni), k2_numbers)).
fof(fraenkel_a_0_0_quaterni, axiom,  (! [A] :  (r2_hidden(A, a_0_0_quaterni) <=>  (? [B] :  (m2_funct_2(B, 4, k1_numbers, k9_funct_2(4, k1_numbers)) &  (A=B &  (k1_funct_1(B, 2)=k5_numbers & k1_funct_1(B, 3)=k5_numbers) ) ) ) ) ) ).
fof(fc1_quin_1, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => v1_xcmplx_0(k1_quin_1(A, B, C))) ) ).
fof(fc2_quin_1, axiom,  (! [A, B, C] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) & v1_xreal_0(C)) )  => v1_xreal_0(k1_quin_1(A, B, C))) ) ).
fof(d1_quin_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k1_quin_1(A, B, C)=k6_xcmplx_0(k1_square_1(B), k3_xcmplx_0(k3_xcmplx_0(4, A), C))) ) ) ) ) ) ).
fof(t1_quin_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  ( ~ (A=k5_numbers)  => k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A, k1_square_1(D)), k3_xcmplx_0(B, D)), C)=k6_xcmplx_0(k3_xcmplx_0(A, k1_square_1(k2_xcmplx_0(D, k7_xcmplx_0(B, k3_xcmplx_0(2, A))))), k7_xcmplx_0(k1_quin_1(A, B, C), k3_xcmplx_0(4, A)))) ) ) ) ) ) ) ) ) ).
fof(t2_quin_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (r1_xxreal_0(k1_quin_1(B, C, D), k5_numbers) =>  (r1_xxreal_0(B, k5_numbers) | r1_xxreal_0(k5_numbers, k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B, k1_square_1(A)), k3_xcmplx_0(C, A)), D))) ) ) ) ) ) ) ) ) ) ).
fof(t3_quin_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  ( ~ (r1_xxreal_0(k5_numbers, k1_quin_1(B, C, D)))  & r1_xxreal_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B, k1_square_1(A)), k3_xcmplx_0(C, A)), D), k5_numbers)) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_quin_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (r1_xxreal_0(k1_quin_1(B, C, D), k5_numbers) =>  (r1_xxreal_0(k5_numbers, B) | r1_xxreal_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B, k1_square_1(A)), k3_xcmplx_0(C, A)), D), k5_numbers)) ) ) ) ) ) ) ) ) ) ).
fof(t5_quin_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(k5_numbers, B))  &  ( ~ (r1_xxreal_0(k5_numbers, k1_quin_1(B, C, D)))  & r1_xxreal_0(k5_numbers, k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B, k1_square_1(A)), k3_xcmplx_0(C, A)), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_quin_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (r1_xxreal_0(k5_numbers, k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B, k1_square_1(A)), k3_xcmplx_0(C, A)), D)) =>  (r1_xxreal_0(B, k5_numbers) | r1_xxreal_0(k5_numbers, k6_xcmplx_0(k1_square_1(k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, B), A), C)), k1_quin_1(B, C, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t7_quin_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  ( ~ (r1_xxreal_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B, k1_square_1(A)), k3_xcmplx_0(C, A)), D), k5_numbers))  & r1_xxreal_0(k6_xcmplx_0(k1_square_1(k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, B), A), C)), k1_quin_1(B, C, D)), k5_numbers)) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_quin_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (r1_xxreal_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B, k1_square_1(A)), k3_xcmplx_0(C, A)), D), k5_numbers) =>  (r1_xxreal_0(k5_numbers, B) | r1_xxreal_0(k5_numbers, k6_xcmplx_0(k1_square_1(k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, B), A), C)), k1_quin_1(B, C, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t9_quin_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(k5_numbers, B))  &  ( ~ (r1_xxreal_0(k5_numbers, k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B, k1_square_1(A)), k3_xcmplx_0(C, A)), D)))  & r1_xxreal_0(k6_xcmplx_0(k1_square_1(k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, B), A), C)), k1_quin_1(B, C, D)), k5_numbers)) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_quin_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (! [D] :  (v1_xreal_0(D) => r1_xxreal_0(k5_numbers, k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A, k1_square_1(D)), k3_xcmplx_0(B, D)), C))) )  =>  (r1_xxreal_0(A, k5_numbers) | r1_xxreal_0(k1_quin_1(A, B, C), k5_numbers)) ) ) ) ) ) ) ) ).
fof(t11_quin_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (! [D] :  (v1_xreal_0(D) => r1_xxreal_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A, k1_square_1(D)), k3_xcmplx_0(B, D)), C), k5_numbers)) )  =>  (r1_xxreal_0(k5_numbers, A) | r1_xxreal_0(k1_quin_1(A, B, C), k5_numbers)) ) ) ) ) ) ) ) ).
fof(t12_quin_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( (! [D] :  (v1_xreal_0(D) =>  ~ (r1_xxreal_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A, k1_square_1(D)), k3_xcmplx_0(B, D)), C), k5_numbers)) ) )  &  ( ~ (r1_xxreal_0(A, k5_numbers))  & r1_xxreal_0(k5_numbers, k1_quin_1(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t13_quin_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( (! [D] :  (v1_xreal_0(D) =>  ~ (r1_xxreal_0(k5_numbers, k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A, k1_square_1(D)), k3_xcmplx_0(B, D)), C))) ) )  &  ( ~ (r1_xxreal_0(k5_numbers, A))  & r1_xxreal_0(k5_numbers, k1_quin_1(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t14_quin_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  (k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A, k1_square_1(D)), k3_xcmplx_0(B, D)), C)=k5_numbers =>  (A=k5_numbers | k6_xcmplx_0(k1_square_1(k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, A), D), B)), k1_quin_1(A, B, C))=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t15_quin_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (B=k5_numbers)  &  (r1_xxreal_0(k5_numbers, k1_quin_1(B, C, D)) &  (k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B, k1_square_1(A)), k3_xcmplx_0(C, A)), D)=k5_numbers &  ( ~ (A=k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(C), k3_square_1(k1_quin_1(B, C, D))), k3_xcmplx_0(2, B)))  &  ~ (A=k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(C), k3_square_1(k1_quin_1(B, C, D))), k3_xcmplx_0(2, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_quin_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (r1_xxreal_0(k5_numbers, k1_quin_1(B, C, D)) =>  (B=k5_numbers | k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B, k1_square_1(A)), k3_xcmplx_0(C, A)), D)=k3_xcmplx_0(k3_xcmplx_0(B, k6_xcmplx_0(A, k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(C), k3_square_1(k1_quin_1(B, C, D))), k3_xcmplx_0(2, B)))), k6_xcmplx_0(A, k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(C), k3_square_1(k1_quin_1(B, C, D))), k3_xcmplx_0(2, B))))) ) ) ) ) ) ) ) ) ) ).
fof(t17_quin_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(k5_numbers, A))  &  ( ~ (r1_xxreal_0(k1_quin_1(A, B, C), k5_numbers))  & r1_xxreal_0(k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(B), k3_square_1(k1_quin_1(A, B, C))), k3_xcmplx_0(2, A)), k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(B), k3_square_1(k1_quin_1(A, B, C))), k3_xcmplx_0(2, A)))) ) ) ) ) ) ) ) ) ).
fof(t18_quin_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(k5_numbers, B))  &  ( ~ (r1_xxreal_0(k1_quin_1(B, C, D), k5_numbers))  &  ~ ( ( ~ (r1_xxreal_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B, k1_square_1(A)), k3_xcmplx_0(C, A)), D), k5_numbers))  <=>  ( ~ (r1_xxreal_0(A, k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(C), k3_square_1(k1_quin_1(B, C, D))), k3_xcmplx_0(2, B))))  &  ~ (r1_xxreal_0(k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(C), k3_square_1(k1_quin_1(B, C, D))), k3_xcmplx_0(2, B)), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_quin_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(k5_numbers, B))  &  ( ~ (r1_xxreal_0(k1_quin_1(B, C, D), k5_numbers))  &  ~ ( ( ~ ( ( ~ (r1_xxreal_0(k5_numbers, k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B, k1_square_1(A)), k3_xcmplx_0(C, A)), D)))  &  (r1_xxreal_0(k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(C), k3_square_1(k1_quin_1(B, C, D))), k3_xcmplx_0(2, B)), A) & r1_xxreal_0(A, k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(C), k3_square_1(k1_quin_1(B, C, D))), k3_xcmplx_0(2, B)))) ) )  &  ~ ( ( ~ ( (r1_xxreal_0(k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(C), k3_square_1(k1_quin_1(B, C, D))), k3_xcmplx_0(2, B)), A) & r1_xxreal_0(A, k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(C), k3_square_1(k1_quin_1(B, C, D))), k3_xcmplx_0(2, B)))) )  & r1_xxreal_0(k5_numbers, k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B, k1_square_1(A)), k3_xcmplx_0(C, A)), D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_quin_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) =>  ( (k1_quin_1(A, B, C)=k5_numbers & k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A, k1_square_1(D)), k3_xcmplx_0(B, D)), C)=k5_numbers)  =>  (A=k5_numbers | D=k4_xcmplx_0(k7_xcmplx_0(B, k3_xcmplx_0(2, A)))) ) ) ) ) ) ) ) ) ) ).
fof(t21_quin_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  ( ~ (r1_xxreal_0(k6_xcmplx_0(k1_square_1(k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, B), A), C)), k1_quin_1(B, C, D)), k5_numbers))  & r1_xxreal_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B, k1_square_1(A)), k3_xcmplx_0(C, A)), D), k5_numbers)) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_quin_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (k1_quin_1(B, C, D)=k5_numbers =>  (r1_xxreal_0(B, k5_numbers) |  ( ~ ( ( ~ (r1_xxreal_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B, k1_square_1(A)), k3_xcmplx_0(C, A)), D), k5_numbers))  & A=k4_xcmplx_0(k7_xcmplx_0(C, k3_xcmplx_0(2, B)))) )  &  ~ ( ( ~ (A=k4_xcmplx_0(k7_xcmplx_0(C, k3_xcmplx_0(2, B))))  & r1_xxreal_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B, k1_square_1(A)), k3_xcmplx_0(C, A)), D), k5_numbers)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_quin_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(k5_numbers, B))  &  ( ~ (r1_xxreal_0(k6_xcmplx_0(k1_square_1(k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2, B), A), C)), k1_quin_1(B, C, D)), k5_numbers))  & r1_xxreal_0(k5_numbers, k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B, k1_square_1(A)), k3_xcmplx_0(C, A)), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_quin_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (k1_quin_1(B, C, D)=k5_numbers =>  (r1_xxreal_0(k5_numbers, B) |  ( ~ ( ( ~ (r1_xxreal_0(k5_numbers, k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B, k1_square_1(A)), k3_xcmplx_0(C, A)), D)))  & A=k4_xcmplx_0(k7_xcmplx_0(C, k3_xcmplx_0(2, B)))) )  &  ~ ( ( ~ (A=k4_xcmplx_0(k7_xcmplx_0(C, k3_xcmplx_0(2, B))))  & r1_xxreal_0(k5_numbers, k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B, k1_square_1(A)), k3_xcmplx_0(C, A)), D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_quin_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(k1_quin_1(A, B, C), k5_numbers))  & r1_xxreal_0(k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(B), k3_square_1(k1_quin_1(A, B, C))), k3_xcmplx_0(2, A)), k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(B), k3_square_1(k1_quin_1(A, B, C))), k3_xcmplx_0(2, A)))) ) ) ) ) ) ) ) ) ).
fof(t26_quin_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  ( ~ (r1_xxreal_0(k1_quin_1(B, C, D), k5_numbers))  &  ~ ( ( ~ (r1_xxreal_0(k5_numbers, k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B, k1_square_1(A)), k3_xcmplx_0(C, A)), D)))  <=>  ( ~ (r1_xxreal_0(A, k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(C), k3_square_1(k1_quin_1(B, C, D))), k3_xcmplx_0(2, B))))  &  ~ (r1_xxreal_0(k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(C), k3_square_1(k1_quin_1(B, C, D))), k3_xcmplx_0(2, B)), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_quin_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(B, k5_numbers))  &  ( ~ (r1_xxreal_0(k1_quin_1(B, C, D), k5_numbers))  &  ~ ( ( ~ ( ( ~ (r1_xxreal_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B, k1_square_1(A)), k3_xcmplx_0(C, A)), D), k5_numbers))  &  (r1_xxreal_0(k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(C), k3_square_1(k1_quin_1(B, C, D))), k3_xcmplx_0(2, B)), A) & r1_xxreal_0(A, k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(C), k3_square_1(k1_quin_1(B, C, D))), k3_xcmplx_0(2, B)))) ) )  &  ~ ( ( ~ ( (r1_xxreal_0(k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(C), k3_square_1(k1_quin_1(B, C, D))), k3_xcmplx_0(2, B)), A) & r1_xxreal_0(A, k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(C), k3_square_1(k1_quin_1(B, C, D))), k3_xcmplx_0(2, B)))) )  & r1_xxreal_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B, k1_square_1(A)), k3_xcmplx_0(C, A)), D), k5_numbers)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  & l5_algstr_0(A)) )  =>  ~ (v1_xboole_0(k1_quofield(A))) ) ) ).
fof(fc2_quofield, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v5_group_1(A) & l5_algstr_0(A)) ) )  & m1_subset_1(B, k1_quofield(A)))  =>  ~ (v1_xboole_0(k6_quofield(A, B))) ) ) ).
fof(fc3_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  & l5_algstr_0(A)) )  =>  ~ (v1_xboole_0(k7_quofield(A))) ) ) ).
fof(fc4_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k19_quofield(A)))  & v36_algstr_0(k19_quofield(A))) ) ) ).
fof(fc5_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (v13_algstr_0(k19_quofield(A)) &  (v36_algstr_0(k19_quofield(A)) &  (v3_rlvect_1(k19_quofield(A)) & v4_rlvect_1(k19_quofield(A))) ) ) ) ) ).
fof(fc6_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (v36_algstr_0(k19_quofield(A)) & v5_group_1(k19_quofield(A))) ) ) ).
fof(fc7_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (v36_algstr_0(k19_quofield(A)) & v4_vectsp_1(k19_quofield(A))) ) ) ).
fof(fc8_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v6_struct_0(k19_quofield(A)))  &  (v33_algstr_0(k19_quofield(A)) &  (v36_algstr_0(k19_quofield(A)) &  (v2_rlvect_1(k19_quofield(A)) &  (v3_group_1(k19_quofield(A)) & v5_vectsp_1(k19_quofield(A))) ) ) ) ) ) ) ).
fof(cc1_quofield, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) & v5_vectsp_1(A)) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v3_vectsp_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & v1_vectsp_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_quofield, axiom,  (? [A] :  (l6_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v5_vectsp_1(A) & v6_vectsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc9_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (v1_funct_1(k3_struct_0(A)) &  (v1_funct_2(k3_struct_0(A), u1_struct_0(A), u1_struct_0(A)) & v1_ringcat1(k3_struct_0(A), A, A)) ) ) ) ).
fof(fc10_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (v36_algstr_0(k19_quofield(A)) &  (v1_vectsp_1(k19_quofield(A)) &  (v3_vectsp_1(k19_quofield(A)) & v1_vectsp_2(k19_quofield(A))) ) ) ) ) ).
fof(d1_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) =>  (B=k1_quofield(A) <=>  (! [C] :  (r2_tarski(C, B) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (C=k1_domain_1(u1_struct_0(A), u1_struct_0(A), D, E) &  ~ (E=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  & l5_algstr_0(A)) )  =>  ~ (v1_xboole_0(k1_quofield(A))) ) ) ).
fof(t2_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  & l5_algstr_0(A)) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_quofield(A)) =>  ~ (k3_domain_1(u1_struct_0(A), u1_struct_0(A), B)=k4_struct_0(A)) ) ) ) ) ).
fof(d2_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_quofield(A)) =>  (! [C] :  (m2_subset_1(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_quofield(A)) => k2_quofield(A, B, C)=k1_domain_1(u1_struct_0(A), u1_struct_0(A), k1_algstr_0(A, k6_algstr_0(A, k2_domain_1(u1_struct_0(A), u1_struct_0(A), B), k3_domain_1(u1_struct_0(A), u1_struct_0(A), C)), k6_algstr_0(A, k2_domain_1(u1_struct_0(A), u1_struct_0(A), C), k3_domain_1(u1_struct_0(A), u1_struct_0(A), B))), k6_algstr_0(A, k3_domain_1(u1_struct_0(A), u1_struct_0(A), B), k3_domain_1(u1_struct_0(A), u1_struct_0(A), C)))) ) ) ) ) ) ).
fof(d3_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_quofield(A)) =>  (! [C] :  (m2_subset_1(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_quofield(A)) => k3_quofield(A, B, C)=k1_domain_1(u1_struct_0(A), u1_struct_0(A), k6_algstr_0(A, k2_domain_1(u1_struct_0(A), u1_struct_0(A), B), k2_domain_1(u1_struct_0(A), u1_struct_0(A), C)), k6_algstr_0(A, k3_domain_1(u1_struct_0(A), u1_struct_0(A), B), k3_domain_1(u1_struct_0(A), u1_struct_0(A), C)))) ) ) ) ) ) ).
fof(t3_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_quofield(A)) =>  (! [C] :  (m2_subset_1(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_quofield(A)) =>  (! [D] :  (m2_subset_1(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_quofield(A)) => k2_quofield(A, B, k2_quofield(A, C, D))=k2_quofield(A, k2_quofield(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t4_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_quofield(A)) =>  (! [C] :  (m2_subset_1(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_quofield(A)) =>  (! [D] :  (m2_subset_1(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_quofield(A)) => k3_quofield(A, B, k3_quofield(A, C, D))=k3_quofield(A, k3_quofield(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(d4_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  & l5_algstr_0(A)) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_quofield(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_quofield(A))) =>  (C=k6_quofield(A, B) <=>  (! [D] :  (m2_subset_1(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_quofield(A)) =>  (r2_tarski(D, C) <=> k6_algstr_0(A, k2_domain_1(u1_struct_0(A), u1_struct_0(A), D), k3_domain_1(u1_struct_0(A), u1_struct_0(A), B))=k6_algstr_0(A, k3_domain_1(u1_struct_0(A), u1_struct_0(A), D), k2_domain_1(u1_struct_0(A), u1_struct_0(A), B))) ) ) ) ) ) ) ) ) ) ).
fof(t5_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v5_group_1(A) & l5_algstr_0(A)) ) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_quofield(A)) => r2_tarski(B, k6_quofield(A, B))) ) ) ) ).
fof(d5_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  & l5_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(k1_quofield(A)))) =>  (B=k7_quofield(A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_quofield(A))) =>  (r2_tarski(C, B) <=>  (? [D] :  (m2_subset_1(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_quofield(A)) & C=k6_quofield(A, D)) ) ) ) ) ) ) ) ) ) ).
fof(t6_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  & l5_algstr_0(A)) )  =>  ~ (v1_xboole_0(k7_quofield(A))) ) ) ).
fof(t7_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_quofield(A)) =>  (! [C] :  (m2_subset_1(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_quofield(A)) =>  ( (? [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) &  (r2_tarski(B, D) & r2_tarski(C, D)) ) )  => k8_group_1(A, k2_domain_1(u1_struct_0(A), u1_struct_0(A), B), k3_domain_1(u1_struct_0(A), u1_struct_0(A), C))=k8_group_1(A, k2_domain_1(u1_struct_0(A), u1_struct_0(A), C), k3_domain_1(u1_struct_0(A), u1_struct_0(A), B))) ) ) ) ) ) ) ).
fof(t8_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  ( ~ (r1_xboole_0(B, C))  => B=C) ) ) ) ) ) ) ).
fof(d6_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (D=k8_quofield(A, B, C) <=>  (! [E] :  (m2_subset_1(E, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_quofield(A)) =>  (r2_tarski(E, D) <=>  (? [F] :  (m2_subset_1(F, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_quofield(A)) &  (? [G] :  (m2_subset_1(G, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_quofield(A)) &  (r2_tarski(F, B) &  (r2_tarski(G, C) & k8_group_1(A, k2_domain_1(u1_struct_0(A), u1_struct_0(A), E), k8_group_1(A, k3_domain_1(u1_struct_0(A), u1_struct_0(A), F), k3_domain_1(u1_struct_0(A), u1_struct_0(A), G)))=k8_group_1(A, k3_domain_1(u1_struct_0(A), u1_struct_0(A), E), k3_rlvect_1(A, k8_group_1(A, k2_domain_1(u1_struct_0(A), u1_struct_0(A), F), k3_domain_1(u1_struct_0(A), u1_struct_0(A), G)), k8_group_1(A, k2_domain_1(u1_struct_0(A), u1_struct_0(A), G), k3_domain_1(u1_struct_0(A), u1_struct_0(A), F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (D=k9_quofield(A, B, C) <=>  (! [E] :  (m2_subset_1(E, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_quofield(A)) =>  (r2_tarski(E, D) <=>  (? [F] :  (m2_subset_1(F, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_quofield(A)) &  (? [G] :  (m2_subset_1(G, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_quofield(A)) &  (r2_tarski(F, B) &  (r2_tarski(G, C) & k8_group_1(A, k2_domain_1(u1_struct_0(A), u1_struct_0(A), E), k8_group_1(A, k3_domain_1(u1_struct_0(A), u1_struct_0(A), F), k3_domain_1(u1_struct_0(A), u1_struct_0(A), G)))=k8_group_1(A, k3_domain_1(u1_struct_0(A), u1_struct_0(A), E), k8_group_1(A, k2_domain_1(u1_struct_0(A), u1_struct_0(A), F), k2_domain_1(u1_struct_0(A), u1_struct_0(A), G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_quofield(A)) =>  (! [C] :  (m2_subset_1(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_quofield(A)) => k8_quofield(A, k10_quofield(A, B), k10_quofield(A, C))=k10_quofield(A, k4_quofield(A, B, C))) ) ) ) ) ) ).
fof(t10_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_quofield(A)) =>  (! [C] :  (m2_subset_1(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_quofield(A)) => k9_quofield(A, k10_quofield(A, B), k10_quofield(A, C))=k10_quofield(A, k5_quofield(A, B, C))) ) ) ) ) ) ).
fof(d8_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (B=k11_quofield(A) <=>  (! [C] :  (m2_subset_1(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_quofield(A)) =>  (r2_tarski(C, B) <=> k2_domain_1(u1_struct_0(A), u1_struct_0(A), C)=k4_struct_0(A)) ) ) ) ) ) ) ) ).
fof(d9_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (B=k12_quofield(A) <=>  (! [C] :  (m2_subset_1(C, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_quofield(A)) =>  (r2_tarski(C, B) <=> k2_domain_1(u1_struct_0(A), u1_struct_0(A), C)=k3_domain_1(u1_struct_0(A), u1_struct_0(A), C)) ) ) ) ) ) ) ) ).
fof(d10_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (C=k13_quofield(A, B) <=>  (! [D] :  (m2_subset_1(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_quofield(A)) =>  (r2_tarski(D, C) <=>  (? [E] :  (m2_subset_1(E, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_quofield(A)) &  (r2_tarski(E, B) & k8_group_1(A, k2_domain_1(u1_struct_0(A), u1_struct_0(A), D), k3_domain_1(u1_struct_0(A), u1_struct_0(A), E))=k8_group_1(A, k3_domain_1(u1_struct_0(A), u1_struct_0(A), D), k4_algstr_0(A, k2_domain_1(u1_struct_0(A), u1_struct_0(A), E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  ( ~ (B=k11_quofield(A))  =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (C=k14_quofield(A, B) <=>  (! [D] :  (m2_subset_1(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_quofield(A)) =>  (r2_tarski(D, C) <=>  (? [E] :  (m2_subset_1(E, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_quofield(A)) &  (r2_tarski(E, B) & k8_group_1(A, k2_domain_1(u1_struct_0(A), u1_struct_0(A), D), k2_domain_1(u1_struct_0(A), u1_struct_0(A), E))=k8_group_1(A, k3_domain_1(u1_struct_0(A), u1_struct_0(A), D), k3_domain_1(u1_struct_0(A), u1_struct_0(A), E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (k8_quofield(A, B, k8_quofield(A, C, D))=k8_quofield(A, k8_quofield(A, B, C), D) & k8_quofield(A, B, C)=k8_quofield(A, C, B)) ) ) ) ) ) ) ) ) ).
fof(t12_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (k8_quofield(A, B, k11_quofield(A))=B & k8_quofield(A, k11_quofield(A), B)=B) ) ) ) ) ).
fof(t13_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (k9_quofield(A, B, k9_quofield(A, C, D))=k9_quofield(A, k9_quofield(A, B, C), D) & k9_quofield(A, B, C)=k9_quofield(A, C, B)) ) ) ) ) ) ) ) ) ).
fof(t14_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (k9_quofield(A, B, k12_quofield(A))=B & k9_quofield(A, k12_quofield(A), B)=B) ) ) ) ) ).
fof(t15_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) => k9_quofield(A, k8_quofield(A, B, C), D)=k8_quofield(A, k9_quofield(A, B, D), k9_quofield(A, C, D))) ) ) ) ) ) ) ) ).
fof(t16_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) => k9_quofield(A, B, k8_quofield(A, C, D))=k8_quofield(A, k9_quofield(A, B, C), k9_quofield(A, B, D))) ) ) ) ) ) ) ) ).
fof(t17_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (k8_quofield(A, B, k13_quofield(A, B))=k11_quofield(A) & k8_quofield(A, k13_quofield(A, B), B)=k11_quofield(A)) ) ) ) ) ).
fof(t18_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  ( ~ (B=k11_quofield(A))  =>  (k9_quofield(A, B, k14_quofield(A, B))=k12_quofield(A) & k9_quofield(A, k14_quofield(A, B), B)=k12_quofield(A)) ) ) ) ) ) ).
fof(t19_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  ~ (k12_quofield(A)=k11_quofield(A)) ) ) ).
fof(d12_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k7_quofield(A), k7_quofield(A)), k7_quofield(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k7_quofield(A), k7_quofield(A)), k7_quofield(A))))) )  =>  (B=k15_quofield(A) <=>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) => k4_binop_1(k7_quofield(A), B, C, D)=k8_quofield(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(d13_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k7_quofield(A), k7_quofield(A)), k7_quofield(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k7_quofield(A), k7_quofield(A)), k7_quofield(A))))) )  =>  (B=k16_quofield(A) <=>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) => k4_binop_1(k7_quofield(A), B, C, D)=k9_quofield(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(d14_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k7_quofield(A), k7_quofield(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k7_quofield(A), k7_quofield(A))))) )  =>  (B=k17_quofield(A) <=>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) => k3_funct_2(k7_quofield(A), k7_quofield(A), B, C)=k13_quofield(A, C)) ) ) ) ) ) ) ).
fof(d15_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k7_quofield(A), k7_quofield(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k7_quofield(A), k7_quofield(A))))) )  =>  (B=k18_quofield(A) <=>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) => k3_funct_2(k7_quofield(A), k7_quofield(A), B, C)=k14_quofield(A, C)) ) ) ) ) ) ) ).
fof(t20_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) => k4_binop_1(k7_quofield(A), k15_quofield(A), k4_binop_1(k7_quofield(A), k15_quofield(A), B, C), D)=k4_binop_1(k7_quofield(A), k15_quofield(A), B, k4_binop_1(k7_quofield(A), k15_quofield(A), C, D))) ) ) ) ) ) ) ) ).
fof(t21_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) => k4_binop_1(k7_quofield(A), k15_quofield(A), B, C)=k4_binop_1(k7_quofield(A), k15_quofield(A), C, B)) ) ) ) ) ) ).
fof(t22_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (k4_binop_1(k7_quofield(A), k15_quofield(A), B, k11_quofield(A))=B & k4_binop_1(k7_quofield(A), k15_quofield(A), k11_quofield(A), B)=B) ) ) ) ) ).
fof(t23_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) => k4_binop_1(k7_quofield(A), k16_quofield(A), k4_binop_1(k7_quofield(A), k16_quofield(A), B, C), D)=k4_binop_1(k7_quofield(A), k16_quofield(A), B, k4_binop_1(k7_quofield(A), k16_quofield(A), C, D))) ) ) ) ) ) ) ) ).
fof(t24_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) => k4_binop_1(k7_quofield(A), k16_quofield(A), B, C)=k4_binop_1(k7_quofield(A), k16_quofield(A), C, B)) ) ) ) ) ) ).
fof(t25_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (k4_binop_1(k7_quofield(A), k16_quofield(A), B, k12_quofield(A))=B & k4_binop_1(k7_quofield(A), k16_quofield(A), k12_quofield(A), B)=B) ) ) ) ) ).
fof(t26_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) => k4_binop_1(k7_quofield(A), k16_quofield(A), k4_binop_1(k7_quofield(A), k15_quofield(A), B, C), D)=k4_binop_1(k7_quofield(A), k15_quofield(A), k4_binop_1(k7_quofield(A), k16_quofield(A), B, D), k4_binop_1(k7_quofield(A), k16_quofield(A), C, D))) ) ) ) ) ) ) ) ).
fof(t27_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (! [D] :  (m2_subset_1(D, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) => k4_binop_1(k7_quofield(A), k16_quofield(A), B, k4_binop_1(k7_quofield(A), k15_quofield(A), C, D))=k4_binop_1(k7_quofield(A), k15_quofield(A), k4_binop_1(k7_quofield(A), k16_quofield(A), B, C), k4_binop_1(k7_quofield(A), k16_quofield(A), B, D))) ) ) ) ) ) ) ) ).
fof(t28_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  (k4_binop_1(k7_quofield(A), k15_quofield(A), B, k3_funct_2(k7_quofield(A), k7_quofield(A), k17_quofield(A), B))=k11_quofield(A) & k4_binop_1(k7_quofield(A), k15_quofield(A), k3_funct_2(k7_quofield(A), k7_quofield(A), k17_quofield(A), B), B)=k11_quofield(A)) ) ) ) ) ).
fof(t29_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, k1_zfmisc_1(k1_quofield(A)), k7_quofield(A)) =>  ( ~ (B=k11_quofield(A))  =>  (k4_binop_1(k7_quofield(A), k16_quofield(A), B, k3_funct_2(k7_quofield(A), k7_quofield(A), k18_quofield(A), B))=k12_quofield(A) & k4_binop_1(k7_quofield(A), k16_quofield(A), k3_funct_2(k7_quofield(A), k7_quofield(A), k18_quofield(A), B), B)=k12_quofield(A)) ) ) ) ) ) ).
fof(d16_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  => k19_quofield(A)=g6_algstr_0(k7_quofield(A), k15_quofield(A), k16_quofield(A), k12_quofield(A), k11_quofield(A))) ) ).
fof(t30_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (u1_struct_0(k19_quofield(A))=k7_quofield(A) &  (r1_funct_2(k2_zfmisc_1(u1_struct_0(k19_quofield(A)), u1_struct_0(k19_quofield(A))), u1_struct_0(k19_quofield(A)), k2_zfmisc_1(k7_quofield(A), k7_quofield(A)), k7_quofield(A), u1_algstr_0(k19_quofield(A)), k15_quofield(A)) &  (r1_funct_2(k2_zfmisc_1(u1_struct_0(k19_quofield(A)), u1_struct_0(k19_quofield(A))), u1_struct_0(k19_quofield(A)), k2_zfmisc_1(k7_quofield(A), k7_quofield(A)), k7_quofield(A), u2_algstr_0(k19_quofield(A)), k16_quofield(A)) &  (k4_struct_0(k19_quofield(A))=k11_quofield(A) & k5_struct_0(k19_quofield(A))=k12_quofield(A)) ) ) ) ) ) ).
fof(t31_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k19_quofield(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k19_quofield(A))) => m1_subset_1(k1_binop_1(k15_quofield(A), B, C), u1_struct_0(k19_quofield(A)))) ) ) ) ) ) ).
fof(t32_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k19_quofield(A))) => m1_subset_1(k1_funct_1(k17_quofield(A), B), u1_struct_0(k19_quofield(A)))) ) ) ) ).
fof(t33_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k19_quofield(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k19_quofield(A))) => m1_subset_1(k1_binop_1(k16_quofield(A), B, C), u1_struct_0(k19_quofield(A)))) ) ) ) ) ) ).
fof(t34_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k19_quofield(A))) => m1_subset_1(k1_funct_1(k18_quofield(A), B), u1_struct_0(k19_quofield(A)))) ) ) ) ).
fof(t35_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k19_quofield(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k19_quofield(A))) => k1_algstr_0(k19_quofield(A), B, C)=k1_binop_1(k15_quofield(A), B, C)) ) ) ) ) ) ).
fof(t36_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k19_quofield(A))) => k4_algstr_0(k19_quofield(A), B)=k1_funct_1(k17_quofield(A), B)) ) ) ) ).
fof(t37_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k19_quofield(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k19_quofield(A))) => k6_algstr_0(k19_quofield(A), B, C)=k1_binop_1(k16_quofield(A), B, C)) ) ) ) ) ) ).
fof(t38_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (k5_struct_0(k19_quofield(A))=k12_quofield(A) & k4_struct_0(k19_quofield(A))=k11_quofield(A)) ) ) ).
fof(t39_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k19_quofield(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k19_quofield(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k19_quofield(A))) => k1_algstr_0(k19_quofield(A), k1_algstr_0(k19_quofield(A), B, C), D)=k1_algstr_0(k19_quofield(A), B, k1_algstr_0(k19_quofield(A), C, D))) ) ) ) ) ) ) ) ).
fof(t40_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k19_quofield(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k19_quofield(A))) => k1_algstr_0(k19_quofield(A), B, C)=k1_algstr_0(k19_quofield(A), C, B)) ) ) ) ) ) ).
fof(t41_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k19_quofield(A))) => k1_algstr_0(k19_quofield(A), B, k4_struct_0(k19_quofield(A)))=B) ) ) ) ).
fof(t42_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k19_quofield(A))) => k8_group_1(k19_quofield(A), k5_struct_0(k19_quofield(A)), B)=B) ) ) ) ).
fof(t43_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k19_quofield(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k19_quofield(A))) => k8_group_1(k19_quofield(A), B, C)=k8_group_1(k19_quofield(A), C, B)) ) ) ) ) ) ).
fof(t44_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k19_quofield(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k19_quofield(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k19_quofield(A))) => k8_group_1(k19_quofield(A), k8_group_1(k19_quofield(A), B, C), D)=k8_group_1(k19_quofield(A), B, k8_group_1(k19_quofield(A), C, D))) ) ) ) ) ) ) ) ).
fof(t45_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k19_quofield(A))) =>  ~ ( ( ~ (B=k4_struct_0(k19_quofield(A)))  &  (! [C] :  (m1_subset_1(C, u1_struct_0(k19_quofield(A))) =>  ~ (k8_group_1(k19_quofield(A), B, C)=k5_struct_0(k19_quofield(A))) ) ) ) ) ) ) ) ) ).
fof(t46_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k19_quofield(A)))  &  ( ~ (v6_struct_0(k19_quofield(A)))  &  (v13_algstr_0(k19_quofield(A)) &  (v33_algstr_0(k19_quofield(A)) &  (v2_rlvect_1(k19_quofield(A)) &  (v3_rlvect_1(k19_quofield(A)) &  (v4_rlvect_1(k19_quofield(A)) &  (v1_group_1(k19_quofield(A)) &  (v3_group_1(k19_quofield(A)) &  (v5_vectsp_1(k19_quofield(A)) & l6_algstr_0(k19_quofield(A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k19_quofield(A))) =>  ( ~ (B=k4_struct_0(k19_quofield(A)))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (C=k4_struct_0(A))  =>  (! [D] :  (m2_subset_1(D, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_quofield(A)) =>  ( (B=k10_quofield(A, D) & D=k1_domain_1(u1_struct_0(A), u1_struct_0(A), C, k5_struct_0(A)))  =>  (! [E] :  (m2_subset_1(E, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_quofield(A)) =>  (E=k1_domain_1(u1_struct_0(A), u1_struct_0(A), k5_struct_0(A), C) => k9_algstr_0(k19_quofield(A), B)=k10_quofield(A, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k20_quofield(A, B, C)=k8_group_1(A, B, k9_algstr_0(A, C))) ) ) ) ) ) ).
fof(t48_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (C=k4_struct_0(A))  &  ( ~ (E=k4_struct_0(A))  &  ~ (k8_group_1(A, k20_quofield(A, B, C), k20_quofield(A, D, E))=k20_quofield(A, k8_group_1(A, B, D), k8_group_1(A, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( ( ~ (C=k4_struct_0(A))  &  ( ~ (E=k4_struct_0(A))  &  ~ (k3_rlvect_1(A, k20_quofield(A, B, C), k20_quofield(A, D, E))=k20_quofield(A, k3_rlvect_1(A, k8_group_1(A, B, E), k8_group_1(A, D, C)), k8_group_1(A, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v1_ringcat1(C, A, B) => k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k4_struct_0(A))=k4_struct_0(B)) ) ) ) ) ) ) ).
fof(t51_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v3_mod_4(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D)=k4_struct_0(B) <=> D=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ).
fof(t52_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v1_ringcat1(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ~ (D=k4_struct_0(A))  => k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k9_algstr_0(A, D))=k9_algstr_0(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t53_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v1_ringcat1(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( ~ (E=k4_struct_0(A))  => k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k8_group_1(A, D, k9_algstr_0(A, E)))=k8_group_1(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D), k9_algstr_0(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v1_ringcat1(D, A, B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  (v1_ringcat1(E, B, C) => v1_ringcat1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), A, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  => v1_ringcat1(k3_struct_0(A), A, A)) ) ).
fof(d22_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l6_algstr_0(B))  =>  (r1_quofield(A, B) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  & v3_mod_4(C, A, B)) ) ) ) ) ) ) ).
fof(d23_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l6_algstr_0(B))  =>  (r2_quofield(A, B) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  & v7_mod_4(C, A, B)) ) ) ) ) ) ) ).
fof(d24_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (C=k4_struct_0(A))  => k21_quofield(A, B, C)=k1_domain_1(u1_struct_0(A), u1_struct_0(A), B, C)) ) ) ) ) ) ) ).
fof(d25_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k19_quofield(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k19_quofield(A)))))) )  =>  (B=k22_quofield(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(k19_quofield(A)), B, C)=k10_quofield(A, k21_quofield(A, C, k5_struct_0(A)))) ) ) ) ) ) ) ).
fof(t56_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  => v1_ringcat1(k22_quofield(A), A, k19_quofield(A))) ) ).
fof(t57_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  => v3_mod_4(k22_quofield(A), A, k19_quofield(A))) ) ).
fof(t58_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  => r1_quofield(A, k19_quofield(A))) ) ).
fof(t59_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  => r2_quofield(A, k19_quofield(A))) ) ).
fof(t60_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  => r2_quofield(k19_quofield(k19_quofield(A)), k19_quofield(A))) ) ).
fof(d26_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l6_algstr_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (r3_quofield(A, B, C) <=>  (v3_mod_4(C, A, B) &  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v6_struct_0(D))  &  (v13_algstr_0(D) &  (v33_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v3_group_1(D) &  (v5_group_1(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(D))))) )  =>  ~ ( (v3_mod_4(E, A, D) &  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(B), u1_struct_0(D)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(D))))) )  =>  ~ ( (v1_ringcat1(F, B, D) &  (r2_funct_2(u1_struct_0(A), u1_struct_0(D), k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(D), C, F), E) &  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(B), u1_struct_0(D)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(D))))) )  =>  ( (v1_ringcat1(G, B, D) & r2_funct_2(u1_struct_0(A), u1_struct_0(D), k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(D), C, G), E))  => r2_funct_2(u1_struct_0(B), u1_struct_0(D), G, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  & r3_quofield(A, B, C)) ) ) ) ) ) ).
fof(t62_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C))))) )  =>  ( (r3_quofield(A, B, D) & r3_quofield(A, C, E))  => r2_quofield(B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  => m1_subset_1(k1_quofield(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ).
fof(dt_k2_quofield, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) )  &  (m1_subset_1(B, k1_quofield(A)) & m1_subset_1(C, k1_quofield(A))) )  => m2_subset_1(k2_quofield(A, B, C), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_quofield(A))) ) ).
fof(dt_k3_quofield, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) )  &  (m1_subset_1(B, k1_quofield(A)) & m1_subset_1(C, k1_quofield(A))) )  => m2_subset_1(k3_quofield(A, B, C), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_quofield(A))) ) ).
fof(dt_k4_quofield, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  (m1_subset_1(B, k1_quofield(A)) & m1_subset_1(C, k1_quofield(A))) )  => m2_subset_1(k4_quofield(A, B, C), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_quofield(A))) ) ).
fof(commutativity_k4_quofield, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  (m1_subset_1(B, k1_quofield(A)) & m1_subset_1(C, k1_quofield(A))) )  => k4_quofield(A, B, C)=k4_quofield(A, C, B)) ) ).
fof(redefinition_k4_quofield, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  (m1_subset_1(B, k1_quofield(A)) & m1_subset_1(C, k1_quofield(A))) )  => k4_quofield(A, B, C)=k2_quofield(A, B, C)) ) ).
fof(dt_k5_quofield, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) )  &  (m1_subset_1(B, k1_quofield(A)) & m1_subset_1(C, k1_quofield(A))) )  => m2_subset_1(k5_quofield(A, B, C), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k1_quofield(A))) ) ).
fof(commutativity_k5_quofield, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) )  &  (m1_subset_1(B, k1_quofield(A)) & m1_subset_1(C, k1_quofield(A))) )  => k5_quofield(A, B, C)=k5_quofield(A, C, B)) ) ).
fof(redefinition_k5_quofield, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) )  &  (m1_subset_1(B, k1_quofield(A)) & m1_subset_1(C, k1_quofield(A))) )  => k5_quofield(A, B, C)=k3_quofield(A, B, C)) ) ).
fof(dt_k6_quofield, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  & l5_algstr_0(A)) )  & m1_subset_1(B, k1_quofield(A)))  => m1_subset_1(k6_quofield(A, B), k1_zfmisc_1(k1_quofield(A)))) ) ).
fof(dt_k7_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  & l5_algstr_0(A)) )  => m1_subset_1(k7_quofield(A), k1_zfmisc_1(k1_zfmisc_1(k1_quofield(A))))) ) ).
fof(dt_k8_quofield, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, k7_quofield(A)) & m1_subset_1(C, k7_quofield(A))) )  => m2_subset_1(k8_quofield(A, B, C), k1_zfmisc_1(k1_quofield(A)), k7_quofield(A))) ) ).
fof(dt_k9_quofield, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, k7_quofield(A)) & m1_subset_1(C, k7_quofield(A))) )  => m2_subset_1(k9_quofield(A, B, C), k1_zfmisc_1(k1_quofield(A)), k7_quofield(A))) ) ).
fof(dt_k10_quofield, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  & l5_algstr_0(A)) )  & m1_subset_1(B, k1_quofield(A)))  => m2_subset_1(k10_quofield(A, B), k1_zfmisc_1(k1_quofield(A)), k7_quofield(A))) ) ).
fof(redefinition_k10_quofield, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  & l5_algstr_0(A)) )  & m1_subset_1(B, k1_quofield(A)))  => k10_quofield(A, B)=k6_quofield(A, B)) ) ).
fof(dt_k11_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  => m2_subset_1(k11_quofield(A), k1_zfmisc_1(k1_quofield(A)), k7_quofield(A))) ) ).
fof(dt_k12_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  => m2_subset_1(k12_quofield(A), k1_zfmisc_1(k1_quofield(A)), k7_quofield(A))) ) ).
fof(dt_k13_quofield, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, k7_quofield(A)))  => m2_subset_1(k13_quofield(A, B), k1_zfmisc_1(k1_quofield(A)), k7_quofield(A))) ) ).
fof(dt_k14_quofield, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, k7_quofield(A)))  => m2_subset_1(k14_quofield(A, B), k1_zfmisc_1(k1_quofield(A)), k7_quofield(A))) ) ).
fof(dt_k15_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k15_quofield(A)) &  (v1_funct_2(k15_quofield(A), k2_zfmisc_1(k7_quofield(A), k7_quofield(A)), k7_quofield(A)) & m1_subset_1(k15_quofield(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k7_quofield(A), k7_quofield(A)), k7_quofield(A))))) ) ) ) ).
fof(dt_k16_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k16_quofield(A)) &  (v1_funct_2(k16_quofield(A), k2_zfmisc_1(k7_quofield(A), k7_quofield(A)), k7_quofield(A)) & m1_subset_1(k16_quofield(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k7_quofield(A), k7_quofield(A)), k7_quofield(A))))) ) ) ) ).
fof(dt_k17_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k17_quofield(A)) &  (v1_funct_2(k17_quofield(A), k7_quofield(A), k7_quofield(A)) & m1_subset_1(k17_quofield(A), k1_zfmisc_1(k2_zfmisc_1(k7_quofield(A), k7_quofield(A))))) ) ) ) ).
fof(dt_k18_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k18_quofield(A)) &  (v1_funct_2(k18_quofield(A), k7_quofield(A), k7_quofield(A)) & m1_subset_1(k18_quofield(A), k1_zfmisc_1(k2_zfmisc_1(k7_quofield(A), k7_quofield(A))))) ) ) ) ).
fof(dt_k19_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (v36_algstr_0(k19_quofield(A)) & l6_algstr_0(k19_quofield(A))) ) ) ).
fof(dt_k20_quofield, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k20_quofield(A, B, C), u1_struct_0(A))) ) ).
fof(symmetry_r2_quofield, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ~ (v2_struct_0(B))  & l6_algstr_0(B)) )  =>  (r2_quofield(A, B) => r2_quofield(B, A)) ) ) ).
fof(dt_k21_quofield, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k21_quofield(A, B, C), k1_quofield(A))) ) ).
fof(dt_k22_quofield, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k22_quofield(A)) &  (v1_funct_2(k22_quofield(A), u1_struct_0(A), u1_struct_0(k19_quofield(A))) & m1_subset_1(k22_quofield(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k19_quofield(A)))))) ) ) ) ).
fof(fc1_radix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ (v1_xboole_0(k2_radix_1(A))) ) ) ).
fof(t1_radix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (k4_nat_d(B, A)=k6_xcmplx_0(A, 1) => k4_nat_d(k2_xcmplx_0(B, 1), A)=k5_numbers) ) ) ) ) ).
fof(t2_radix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(k6_xcmplx_0(A, 1), k4_nat_d(B, A)))  => k4_nat_d(k2_xcmplx_0(B, 1), A)=k2_xcmplx_0(k4_nat_d(B, A), 1)) ) ) ) ) ).
fof(t3_radix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (B=k5_numbers)  => k4_nat_d(k4_nat_d(A, k3_xcmplx_0(B, C)), C)=k4_nat_d(A, C)) ) ) ) ) ) ) ).
fof(t4_radix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (A=k5_numbers)  &  ( ~ (k4_nat_d(k2_xcmplx_0(B, 1), A)=k5_numbers)  &  ~ (k4_nat_d(k2_xcmplx_0(B, 1), A)=k2_xcmplx_0(k4_nat_d(B, A), 1)) ) ) ) ) ) ) ) ).
fof(t5_radix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (A=k5_numbers)  &  ( ~ (B=k5_numbers)  & r1_xxreal_0(A, k3_nat_d(k4_nat_d(C, k1_newton(A, B)), k1_newton(A, k7_nat_d(B, 1))))) ) ) ) ) ) ) ) ) ).
fof(t7_radix_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (r1_xxreal_0(k5_numbers, C) =>  (r1_xxreal_0(B, k5_numbers) | k5_int_1(k5_int_1(A, k3_xcmplx_0(B, C)), C)=k5_int_1(A, C)) ) ) ) ) ) ) ) ).
fof(d1_radix_1, axiom,  (! [A] :  (v7_ordinal1(A) => k1_radix_1(A)=k2_power(2, A)) ) ).
fof(t8_radix_1, axiom,  (! [A] :  (r2_hidden(A, k2_radix_1(k5_numbers)) <=> A=k5_numbers) ) ).
fof(t9_radix_1, axiom, k2_radix_1(k5_numbers)=k1_tarski(k5_numbers)).
fof(t10_radix_1, axiom,  (! [A] :  (v7_ordinal1(A) => r1_tarski(k2_radix_1(A), k2_radix_1(k2_xcmplx_0(A, 1)))) ) ).
fof(t11_radix_1, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(A, k2_radix_1(B)) => v1_int_1(A)) ) ) ) ).
fof(t12_radix_1, axiom,  (! [A] :  (v7_ordinal1(A) => r1_tarski(k2_radix_1(A), k4_numbers)) ) ).
fof(t13_radix_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_hidden(A, k2_radix_1(B)) =>  (r1_xxreal_0(A, k6_xcmplx_0(k1_radix_1(B), 1)) & r1_xxreal_0(k2_xcmplx_0(k4_xcmplx_0(k1_radix_1(B)), 1), A)) ) ) ) ) ) ).
fof(t14_radix_1, axiom,  (! [A] :  (v7_ordinal1(A) => r2_tarski(k5_numbers, k2_radix_1(A))) ) ).
fof(t15_radix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v3_card_1(D, C) & m2_finseq_1(D, k3_radix_1(B)))  =>  (r2_tarski(A, k2_finseq_1(C)) => m2_subset_1(k1_funct_1(D, A), k4_numbers, k3_radix_1(B))) ) ) ) ) ) ) ) ) ).
fof(d3_radix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v3_card_1(D, C) & m2_finseq_1(D, k3_radix_1(B)))  =>  ( (r2_tarski(A, k2_finseq_1(C)) => k4_radix_1(A, B, C, D)=k1_funct_1(D, A))  &  (A=k5_numbers => k4_radix_1(A, B, C, D)=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(d4_radix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v3_card_1(D, C) & m2_finseq_1(D, k3_radix_1(B)))  => k5_radix_1(A, B, C, D)=k4_radix_1(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t16_radix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v3_card_1(D, C) & m2_finseq_1(D, k3_radix_1(B)))  =>  (r2_tarski(A, k2_finseq_1(C)) => m2_subset_1(k4_radix_1(A, B, C, D), k4_numbers, k3_radix_1(B))) ) ) ) ) ) ) ) ) ).
fof(t17_radix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v3_card_1(B, 1) & m2_finseq_1(B, k4_numbers))  =>  (k7_partfun1(k4_numbers, B, 1)=A => B=k9_finseq_1(A)) ) ) ) ) ).
fof(d5_radix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v3_card_1(D, C) & m2_finseq_1(D, k3_radix_1(B)))  => k6_radix_1(A, B, C, D)=k3_xcmplx_0(k11_newton(k1_radix_1(B), k7_nat_d(A, 1)), k5_radix_1(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(d6_radix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k3_radix_1(B)))  =>  (! [D] :  ( (v3_card_1(D, A) & m2_finseq_1(D, k4_numbers))  =>  (D=k7_radix_1(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k2_finseq_1(A)) => k7_partfun1(k4_numbers, D, E)=k6_radix_1(E, B, A, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_radix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k3_radix_1(B)))  => k8_radix_1(A, B, C)=k1_gr_cy_1(k7_radix_1(A, B, C))) ) ) ) ) ) ).
fof(d8_radix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k9_radix_1(A, B, C)=k3_nat_d(k4_nat_d(C, k1_newton(k1_radix_1(B), A)), k11_newton(k1_radix_1(B), k7_nat_d(A, 1)))) ) ) ) ) ) ).
fof(d9_radix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v3_card_1(D, B) & m2_finseq_1(D, k3_radix_1(A)))  =>  (D=k10_radix_1(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k2_finseq_1(B)) => k4_radix_1(E, A, B, D)=k9_radix_1(E, A, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_radix_1, axiom,  (! [A] :  (v1_int_1(A) =>  ( ( ~ (r1_xxreal_0(A, 2))  => k11_radix_1(A)=1)  &  ( ( ~ (r1_xxreal_0(k4_xcmplx_0(2), A))  => k11_radix_1(A)=k4_xcmplx_0(1))  &  ( (r1_xxreal_0(A, 2) & r1_xxreal_0(k4_xcmplx_0(2), A))  => k11_radix_1(A)=k5_numbers) ) ) ) ) ).
fof(t18_radix_1, axiom, k11_radix_1(k5_numbers)=k5_numbers).
fof(d11_radix_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v7_ordinal1(B) => k12_radix_1(A, B)=k6_xcmplx_0(A, k3_xcmplx_0(k11_radix_1(A), k1_radix_1(B)))) ) ) ) ).
fof(t19_radix_1, axiom,  (! [A] :  (v7_ordinal1(A) => k12_radix_1(k5_numbers, A)=k5_numbers) ) ).
fof(t20_radix_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(2, C) &  (r2_hidden(A, k3_radix_1(C)) & r2_hidden(B, k3_radix_1(C))) )  =>  (r1_xxreal_0(k2_xcmplx_0(k4_xcmplx_0(k1_radix_1(C)), 2), k12_radix_1(k2_xcmplx_0(A, B), C)) & r1_xxreal_0(k12_radix_1(k2_xcmplx_0(A, B), C), k6_xcmplx_0(k1_radix_1(C), 2))) ) ) ) ) ) ) ) ).
fof(d12_radix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_radix_1(A, B, C) <=>  ~ (r1_xxreal_0(k1_newton(k1_radix_1(C), A), B)) ) ) ) ) ) ) ) ).
fof(t21_radix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_radix_1(1, B, A) => k4_radix_1(1, A, 1, k10_radix_1(A, 1, B))=B) ) ) ) ) ).
fof(t22_radix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(1, B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_radix_1(B, C, A) => C=k8_radix_1(B, A, k10_radix_1(A, B, C))) ) ) ) ) ) ) ) ).
fof(t23_radix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_radix_1(1, B, A) & r1_radix_1(1, C, A))  => k11_radix_1(k2_xcmplx_0(k4_radix_1(1, A, 1, k10_radix_1(A, 1, B)), k4_radix_1(1, A, 1, k10_radix_1(A, 1, C))))=k11_radix_1(k2_xcmplx_0(B, C))) ) ) ) ) ) ) ).
fof(t24_radix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_radix_1(k2_xcmplx_0(C, 1), B, A) => k4_radix_1(k2_xcmplx_0(C, 1), A, k2_xcmplx_0(C, 1), k10_radix_1(A, k2_xcmplx_0(C, 1), B))=k3_nat_d(B, k1_newton(k1_radix_1(A), C))) ) ) ) ) ) ) ).
fof(d13_radix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v3_card_1(D, C) & m2_finseq_1(D, k3_radix_1(A)))  =>  (! [E] :  ( (v3_card_1(E, C) & m2_finseq_1(E, k3_radix_1(A)))  =>  ( (r2_tarski(B, k2_finseq_1(C)) & r1_xxreal_0(2, A))  => k13_radix_1(A, B, C, D, E)=k2_xcmplx_0(k12_radix_1(k2_xcmplx_0(k4_radix_1(B, A, C, D), k4_radix_1(B, A, C, E)), A), k11_radix_1(k2_xcmplx_0(k4_radix_1(k7_nat_d(B, 1), A, C, D), k4_radix_1(k7_nat_d(B, 1), A, C, E))))) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_radix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k3_radix_1(B)))  =>  (! [D] :  ( (v3_card_1(D, A) & m2_finseq_1(D, k3_radix_1(B)))  =>  (! [E] :  ( (v3_card_1(E, A) & m2_finseq_1(E, k3_radix_1(B)))  =>  (E=k14_radix_1(A, B, C, D) <=>  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k2_finseq_1(A)) => k4_radix_1(F, B, A, E)=k13_radix_1(B, F, A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_radix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(2, A) &  (r1_radix_1(1, B, A) & r1_radix_1(1, C, A)) )  => k8_radix_1(1, A, k14_radix_1(1, A, k10_radix_1(A, 1, B), k10_radix_1(A, 1, C)))=k12_radix_1(k2_xcmplx_0(B, C), A)) ) ) ) ) ) ) ).
fof(t26_radix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(2, B) &  (r1_radix_1(A, C, B) & r1_radix_1(A, D, B)) )  => k2_xcmplx_0(C, D)=k2_xcmplx_0(k8_radix_1(A, B, k14_radix_1(A, B, k10_radix_1(B, A, C), k10_radix_1(B, A, D))), k3_xcmplx_0(k1_newton(k1_radix_1(B), A), k11_radix_1(k2_xcmplx_0(k4_radix_1(A, B, A, k10_radix_1(B, A, C)), k4_radix_1(A, B, A, k10_radix_1(B, A, D))))))) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_radix_1, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k1_radix_1(A), k4_ordinal1)) ) ).
fof(dt_k3_radix_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (v1_xboole_0(k3_radix_1(A)))  & m1_subset_1(k3_radix_1(A), k1_zfmisc_1(k4_numbers))) ) ) ).
fof(redefinition_k3_radix_1, axiom,  (! [A] :  (v7_ordinal1(A) => k3_radix_1(A)=k2_radix_1(A)) ) ).
fof(dt_k4_radix_1, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  (v3_card_1(D, C) & m1_finseq_1(D, k3_radix_1(B))) ) ) )  => v1_int_1(k4_radix_1(A, B, C, D))) ) ).
fof(dt_k5_radix_1, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  (v3_card_1(D, C) & m1_finseq_1(D, k3_radix_1(B))) ) ) )  => m1_subset_1(k5_radix_1(A, B, C, D), k4_numbers)) ) ).
fof(dt_k6_radix_1, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  (v3_card_1(D, C) & m1_finseq_1(D, k3_radix_1(B))) ) ) )  => m1_subset_1(k6_radix_1(A, B, C, D), k4_numbers)) ) ).
fof(dt_k7_radix_1, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v3_card_1(C, A) & m1_finseq_1(C, k3_radix_1(B))) ) )  =>  (v3_card_1(k7_radix_1(A, B, C), A) & m2_finseq_1(k7_radix_1(A, B, C), k4_numbers)) ) ) ).
fof(dt_k8_radix_1, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v3_card_1(C, A) & m1_finseq_1(C, k3_radix_1(B))) ) )  => v1_int_1(k8_radix_1(A, B, C))) ) ).
fof(dt_k9_radix_1, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) & v7_ordinal1(C)) )  => m2_subset_1(k9_radix_1(A, B, C), k4_numbers, k3_radix_1(B))) ) ).
fof(dt_k10_radix_1, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) & v7_ordinal1(C)) )  =>  (v3_card_1(k10_radix_1(A, B, C), B) & m2_finseq_1(k10_radix_1(A, B, C), k3_radix_1(A))) ) ) ).
fof(dt_k11_radix_1, axiom,  (! [A] :  (v1_int_1(A) => v1_int_1(k11_radix_1(A))) ) ).
fof(dt_k12_radix_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v7_ordinal1(B))  => v1_int_1(k12_radix_1(A, B))) ) ).
fof(dt_k13_radix_1, axiom,  (! [A, B, C, D, E] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  ( (v3_card_1(D, C) & m1_finseq_1(D, k3_radix_1(A)))  &  (v3_card_1(E, C) & m1_finseq_1(E, k3_radix_1(A))) ) ) ) )  => m2_subset_1(k13_radix_1(A, B, C, D, E), k4_numbers, k3_radix_1(A))) ) ).
fof(dt_k14_radix_1, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( (v3_card_1(C, A) & m1_finseq_1(C, k3_radix_1(B)))  &  (v3_card_1(D, A) & m1_finseq_1(D, k3_radix_1(B))) ) ) )  =>  (v3_card_1(k14_radix_1(A, B, C, D), A) & m2_finseq_1(k14_radix_1(A, B, C, D), k3_radix_1(B))) ) ) ).
fof(d2_radix_1, axiom,  (! [A] :  (v7_ordinal1(A) => k2_radix_1(A)=a_1_0_radix_1(A)) ) ).
fof(fraenkel_a_1_0_radix_1, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_0_radix_1(B)) <=>  (? [C] :  (m1_subset_1(C, k4_numbers) &  (A=C &  (r1_xxreal_0(C, k6_xcmplx_0(k1_radix_1(B), 1)) & r1_xxreal_0(k2_xcmplx_0(k4_xcmplx_0(k1_radix_1(B)), 1), C)) ) ) ) ) ) ) ).
fof(t1_radix_2, axiom,  (! [A] :  (v7_ordinal1(A) => k4_nat_d(A, 1)=k5_numbers) ) ).
fof(t2_radix_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v7_ordinal1(C) => k5_int_1(k2_xcmplx_0(k5_int_1(A, C), k5_int_1(B, C)), C)=k5_int_1(k2_xcmplx_0(A, k5_int_1(B, C)), C)) ) ) ) ) ) ).
fof(t3_radix_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v7_ordinal1(C) => k5_int_1(k3_xcmplx_0(A, B), C)=k5_int_1(k3_xcmplx_0(A, k5_int_1(B, C)), C)) ) ) ) ) ) ).
fof(t4_radix_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(1, C) =>  (r1_xxreal_0(B, k5_numbers) | k3_nat_d(k4_nat_d(A, k1_newton(B, C)), k1_newton(B, k7_nat_d(C, 1)))=k4_nat_d(k3_nat_d(A, k1_newton(B, k7_nat_d(C, 1))), B)) ) ) ) ) ) ) ) ).
fof(t5_radix_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(A, k2_finseq_1(B)) => r2_tarski(k1_nat_1(A, 1), k2_finseq_1(k1_nat_1(B, 1)))) ) ) ) ) ).
fof(t6_radix_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ (r1_xxreal_0(k1_radix_1(A), k5_numbers)) ) ) ).
fof(t7_radix_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v3_card_1(B, 1) & m2_finseq_1(B, k3_radix_1(A)))  => k8_radix_1(1, A, B)=k4_radix_1(1, A, 1, B)) ) ) ) ).
fof(t8_radix_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) => k2_xcmplx_0(k12_radix_1(B, A), k3_xcmplx_0(k11_radix_1(B), k1_radix_1(A)))=B) ) ) ) ).
fof(t9_radix_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_card_1(C, k1_nat_1(B, 1)) & m2_finseq_1(C, k3_radix_1(A)))  =>  (! [D] :  ( (v3_card_1(D, B) & m2_finseq_1(D, k3_radix_1(A)))  =>  ( (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k2_finseq_1(B)) => k1_funct_1(C, E)=k1_funct_1(D, E)) ) )  => k1_gr_cy_1(k7_radix_1(k1_nat_1(B, 1), A, C))=k1_gr_cy_1(k8_finseq_1(k4_numbers, k7_radix_1(B, A, D), k12_finseq_1(k4_numbers, k6_radix_1(k1_nat_1(B, 1), A, k1_nat_1(B, 1), C))))) ) ) ) ) ) ) ) ) ).
fof(t10_radix_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_card_1(C, k1_nat_1(B, 1)) & m2_finseq_1(C, k3_radix_1(A)))  =>  (! [D] :  ( (v3_card_1(D, B) & m2_finseq_1(D, k3_radix_1(A)))  =>  ( (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k2_finseq_1(B)) => k1_funct_1(C, E)=k1_funct_1(D, E)) ) )  => k2_xcmplx_0(k8_radix_1(B, A, D), k3_xcmplx_0(k1_newton(k1_radix_1(A), B), k4_radix_1(k1_nat_1(B, 1), A, k1_nat_1(B, 1), C)))=k8_radix_1(k1_nat_1(B, 1), A, C)) ) ) ) ) ) ) ) ) ).
fof(t11_radix_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(1, B) =>  (! [C] :  ( (v3_card_1(C, B) & m2_finseq_1(C, k3_radix_1(A)))  =>  (! [D] :  ( (v3_card_1(D, B) & m2_finseq_1(D, k3_radix_1(A)))  =>  (r1_xxreal_0(2, A) => k2_xcmplx_0(k8_radix_1(B, A, k14_radix_1(B, A, C, D)), k3_xcmplx_0(k11_radix_1(k2_xcmplx_0(k4_radix_1(B, A, B, C), k4_radix_1(B, A, B, D))), k1_newton(k1_radix_1(A), B)))=k2_xcmplx_0(k8_radix_1(B, A, C), k8_radix_1(B, A, D))) ) ) ) ) ) ) ) ) ) ).
fof(d1_radix_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v3_card_1(D, C) & m2_finseq_1(D, k4_ordinal1))  => k1_radix_2(A, B, C, D)=k2_nat_1(k11_newton(k1_radix_1(B), k7_nat_d(A, 1)), k1_recdef_1(D, A))) ) ) ) ) ) ) ) ).
fof(d2_radix_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k4_ordinal1))  =>  (! [D] :  ( (v3_card_1(D, A) & m2_finseq_1(D, k4_ordinal1))  =>  (D=k2_radix_2(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k2_finseq_1(A)) => k7_partfun1(k4_ordinal1, D, E)=k1_radix_2(E, B, A, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_radix_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k4_ordinal1))  => k3_radix_2(A, B, C)=k1_wsierp_1(k2_radix_2(A, B, C))) ) ) ) ) ) ).
fof(d4_radix_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k4_radix_2(A, B, C)=k3_nat_d(k4_nat_d(C, k1_newton(k1_radix_1(B), A)), k11_newton(k1_radix_1(B), k7_nat_d(A, 1)))) ) ) ) ) ) ).
fof(d5_radix_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v3_card_1(D, B) & m2_finseq_1(D, k4_ordinal1))  =>  (D=k5_radix_2(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k2_finseq_1(B)) => k1_recdef_1(D, E)=k4_radix_2(E, A, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_radix_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k4_ordinal1))  =>  (! [D] :  ( (v3_card_1(D, A) & m2_finseq_1(D, k3_radix_1(B)))  =>  (C=D => k2_radix_2(A, B, C)=k7_radix_1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t13_radix_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k4_ordinal1))  =>  (! [D] :  ( (v3_card_1(D, A) & m2_finseq_1(D, k3_radix_1(B)))  =>  (C=D => k3_radix_2(A, B, C)=k8_radix_1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t14_radix_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) => k5_radix_2(C, B, A)=k10_radix_1(C, B, A)) ) ) ) ) ) ).
fof(t15_radix_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_radix_1(A, B, C) => B=k3_radix_2(A, C, k5_radix_2(C, A, B))) ) ) ) ) ) ) ) ).
fof(d6_radix_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( (v3_card_1(F, E) & m2_finseq_1(F, k3_radix_1(D)))  => k6_radix_2(A, B, C, D, E, F)=k5_int_1(k3_xcmplx_0(A, k4_radix_1(C, D, E, F)), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_radix_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v3_card_1(E, D) & m2_finseq_1(E, k3_radix_1(B)))  =>  (r1_xxreal_0(1, D) =>  (! [F] :  ( (v3_card_1(F, D) & m2_finseq_1(F, k4_numbers))  =>  (F=k7_radix_2(A, B, C, D, E) <=>  (k1_funct_1(F, 1)=k6_radix_2(A, C, D, B, D, E) &  (! [G] :  (v7_ordinal1(G) =>  ~ ( (r1_xxreal_0(1, G) &  (r1_xxreal_0(G, k6_xcmplx_0(D, 1)) &  (! [H] :  (v1_int_1(H) =>  (! [I] :  (v1_int_1(I) =>  ~ ( (H=k1_funct_1(F, G) &  (I=k1_funct_1(F, k1_nat_1(G, 1)) & I=k5_int_1(k2_xcmplx_0(k3_xcmplx_0(k1_radix_1(B), H), k6_radix_2(A, C, k7_nat_d(D, G), B, D, E)), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_radix_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r1_radix_1(A, C, E) =>  (r1_xxreal_0(D, k5_numbers) |  (! [F] :  ( (v3_card_1(F, A) & m2_finseq_1(F, k3_radix_1(E)))  =>  (F=k10_radix_1(E, A, C) => k1_funct_1(k7_radix_2(B, E, D, A, F), A)=k5_int_1(k3_xcmplx_0(B, C), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_radix_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v3_card_1(E, A) & m2_finseq_1(E, k4_ordinal1))  => k8_radix_2(A, B, C, D, E)=k4_nat_d(k1_newton(D, k7_partfun1(k4_ordinal1, E, C)), B)) ) ) ) ) ) ) ) ) ) ).
fof(d9_radix_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( (v3_card_1(E, D) & m2_finseq_1(E, k4_ordinal1))  =>  (r1_xxreal_0(1, D) =>  (! [F] :  ( (v3_card_1(F, D) & m2_finseq_1(F, k4_ordinal1))  =>  (F=k9_radix_2(A, B, C, D, E) <=>  (k1_recdef_1(F, 1)=k8_radix_2(D, B, D, C, E) &  (! [G] :  (v7_ordinal1(G) =>  ~ ( (r1_xxreal_0(1, G) &  (r1_xxreal_0(G, k6_xcmplx_0(D, 1)) &  (! [H] :  (v7_ordinal1(H) =>  (! [I] :  (v7_ordinal1(I) =>  ~ ( (H=k1_recdef_1(F, G) &  (I=k1_recdef_1(F, k1_nat_1(G, 1)) & I=k4_nat_d(k2_nat_1(k4_nat_d(k1_newton(H, k1_radix_1(A)), B), k8_radix_2(D, B, k7_nat_d(D, G), C, E)), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_radix_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r1_radix_1(A, E, C) =>  (r1_xxreal_0(D, k5_numbers) |  (! [F] :  ( (v3_card_1(F, A) & m2_finseq_1(F, k4_ordinal1))  =>  (F=k5_radix_2(C, A, E) => k1_recdef_1(k9_radix_2(C, D, B, A, F), A)=k4_nat_d(k1_newton(B, E), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_radix_2, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  (v3_card_1(D, C) & m1_finseq_1(D, k4_ordinal1)) ) ) )  => m1_subset_1(k1_radix_2(A, B, C, D), k4_ordinal1)) ) ).
fof(dt_k2_radix_2, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v3_card_1(C, A) & m1_finseq_1(C, k4_ordinal1)) ) )  =>  (v3_card_1(k2_radix_2(A, B, C), A) & m2_finseq_1(k2_radix_2(A, B, C), k4_ordinal1)) ) ) ).
fof(dt_k3_radix_2, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v3_card_1(C, A) & m1_finseq_1(C, k4_ordinal1)) ) )  => m1_subset_1(k3_radix_2(A, B, C), k4_ordinal1)) ) ).
fof(dt_k4_radix_2, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) & v7_ordinal1(C)) )  => m1_subset_1(k4_radix_2(A, B, C), k4_ordinal1)) ) ).
fof(dt_k5_radix_2, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) & v7_ordinal1(C)) )  =>  (v3_card_1(k5_radix_2(A, B, C), B) & m2_finseq_1(k5_radix_2(A, B, C), k4_ordinal1)) ) ) ).
fof(dt_k6_radix_2, axiom,  (! [A, B, C, D, E, F] :  ( (v1_int_1(A) &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  (v7_ordinal1(D) &  (v7_ordinal1(E) &  (v3_card_1(F, E) & m1_finseq_1(F, k3_radix_1(D))) ) ) ) ) )  => v1_int_1(k6_radix_2(A, B, C, D, E, F))) ) ).
fof(dt_k7_radix_2, axiom,  (! [A, B, C, D, E] :  ( (v1_int_1(A) &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  (v7_ordinal1(D) &  (v3_card_1(E, D) & m1_finseq_1(E, k3_radix_1(B))) ) ) ) )  =>  (v3_card_1(k7_radix_2(A, B, C, D, E), D) & m2_finseq_1(k7_radix_2(A, B, C, D, E), k4_numbers)) ) ) ).
fof(dt_k8_radix_2, axiom,  (! [A, B, C, D, E] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  (v7_ordinal1(D) &  (v3_card_1(E, A) & m1_finseq_1(E, k4_ordinal1)) ) ) ) )  => m1_subset_1(k8_radix_2(A, B, C, D, E), k4_ordinal1)) ) ).
fof(dt_k9_radix_2, axiom,  (! [A, B, C, D, E] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  (v7_ordinal1(D) &  (v3_card_1(E, D) & m1_finseq_1(E, k4_ordinal1)) ) ) ) )  =>  (v3_card_1(k9_radix_2(A, B, C, D, E), D) & m2_finseq_1(k9_radix_2(A, B, C, D, E), k4_ordinal1)) ) ) ).
fof(fc1_radix_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ (v1_xboole_0(k1_radix_3(A))) ) ) ).
fof(fc2_radix_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ (v1_xboole_0(k2_radix_3(A))) ) ) ).
fof(t1_radix_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  (r2_hidden(B, k2_radix_3(A)) =>  (r1_xxreal_0(k6_xcmplx_0(k4_xcmplx_0(k1_radix_1(k7_nat_d(A, 1))), 1), B) & r1_xxreal_0(B, k1_radix_1(k7_nat_d(A, 1)))) ) ) ) ) ) ).
fof(t2_radix_3, axiom,  (! [A] :  (v7_ordinal1(A) => r1_tarski(k1_radix_3(A), k2_radix_3(A))) ) ).
fof(t3_radix_3, axiom,  (! [A] :  (v7_ordinal1(A) => r1_tarski(k1_radix_3(A), k1_radix_3(k2_xcmplx_0(A, 1)))) ) ).
fof(t4_radix_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(2, A) => r1_tarski(k2_radix_3(A), k3_radix_1(A))) ) ) ).
fof(t5_radix_3, axiom, r2_tarski(k5_numbers, k1_radix_3(k5_numbers))).
fof(t6_radix_3, axiom,  (! [A] :  (v7_ordinal1(A) => r2_tarski(k5_numbers, k1_radix_3(A))) ) ).
fof(t7_radix_3, axiom,  (! [A] :  (v7_ordinal1(A) => r2_tarski(k5_numbers, k2_radix_3(A))) ) ).
fof(t8_radix_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (r2_tarski(B, k2_radix_3(A)) => v1_int_1(B)) ) ) ) ).
fof(t9_radix_3, axiom,  (! [A] :  (v7_ordinal1(A) => r1_tarski(k2_radix_3(A), k4_numbers)) ) ).
fof(t10_radix_3, axiom,  (! [A] :  (v7_ordinal1(A) => r1_tarski(k1_radix_3(A), k4_numbers)) ) ).
fof(t11_radix_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v3_card_1(D, B) & m2_finseq_1(D, k4_radix_3(C)))  =>  (r2_tarski(A, k2_finseq_1(B)) => m2_subset_1(k1_funct_1(D, A), k4_numbers, k4_radix_3(C))) ) ) ) ) ) ) ) ) ).
fof(d3_radix_3, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(k1_radix_1(k7_nat_d(B, 1)), A) => k5_radix_3(A, B)=1)  &  ( ( ~ (r1_xxreal_0(k4_xcmplx_0(k1_radix_1(k7_nat_d(B, 1))), A))  => k5_radix_3(A, B)=k4_xcmplx_0(1))  &  (r1_xxreal_0(k4_xcmplx_0(k1_radix_1(k7_nat_d(B, 1))), A) =>  (r1_xxreal_0(k1_radix_1(k7_nat_d(B, 1)), A) | k5_radix_3(A, B)=k5_numbers) ) ) ) ) ) ) ) ).
fof(d4_radix_3, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v7_ordinal1(B) => k6_radix_3(A, B)=k6_xcmplx_0(A, k3_xcmplx_0(k1_radix_1(B), k5_radix_3(A, B)))) ) ) ) ).
fof(t12_radix_3, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(k4_xcmplx_0(1), k5_radix_3(A, B)) & r1_xxreal_0(k5_radix_3(A, B), 1)) ) ) ) ) ).
fof(t13_radix_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  ( (r1_xxreal_0(2, A) & r2_hidden(B, k3_radix_1(A)))  =>  (r1_xxreal_0(k4_xcmplx_0(k1_radix_1(k7_nat_d(A, 1))), k6_radix_3(B, A)) & r1_xxreal_0(k6_radix_3(B, A), k6_xcmplx_0(k1_radix_1(k7_nat_d(A, 1)), 1))) ) ) ) ) ) ).
fof(t14_radix_3, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(2, B) => r2_hidden(k5_radix_3(A, B), k3_radix_3(B))) ) ) ) ) ).
fof(t15_radix_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ( (r1_xxreal_0(2, A) & r2_hidden(B, k3_radix_1(A)))  => r2_tarski(k2_xcmplx_0(k6_radix_3(B, A), k5_radix_3(C, A)), k4_radix_3(A))) ) ) ) ) ) ) ).
fof(t16_radix_3, axiom,  (! [A] :  (v7_ordinal1(A) => k5_radix_3(k5_numbers, A)=k5_numbers) ) ).
fof(d5_radix_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v3_card_1(D, C) & m2_finseq_1(D, k4_radix_3(B)))  =>  ( (r2_tarski(A, k2_finseq_1(C)) => k7_radix_3(A, B, C, D)=k1_funct_1(D, A))  &  (A=k5_numbers => k7_radix_3(A, B, C, D)=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(d6_radix_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v3_card_1(D, C) & m2_finseq_1(D, k3_radix_1(B)))  =>  ( (r2_tarski(A, k2_finseq_1(C)) => k8_radix_3(A, B, C, D)=k2_xcmplx_0(k6_radix_3(k4_radix_1(A, B, C, D), B), k5_radix_3(k4_radix_1(k7_nat_d(A, 1), B, C, D), B)))  &  ( (A=k2_xcmplx_0(C, 1) => k8_radix_3(A, B, C, D)=k5_radix_3(k4_radix_1(k7_nat_d(A, 1), B, C, D), B))  &  ~ ( ( ~ (r2_tarski(A, k2_finseq_1(C)))  &  ( ~ (A=k2_xcmplx_0(C, 1))  &  ~ (k8_radix_3(A, B, C, D)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_radix_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v3_card_1(D, B) & m2_finseq_1(D, k3_radix_1(C)))  =>  ( (r1_xxreal_0(2, C) & r2_tarski(A, k2_finseq_1(k2_xcmplx_0(B, 1))))  => m2_subset_1(k8_radix_3(A, C, B, D), k4_numbers, k4_radix_3(C))) ) ) ) ) ) ) ) ) ).
fof(d7_radix_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v3_card_1(D, C) & m2_finseq_1(D, k3_radix_1(B)))  =>  ( (r1_xxreal_0(2, B) & r2_tarski(A, k2_finseq_1(k2_xcmplx_0(C, 1))))  => k9_radix_3(A, B, C, D)=k8_radix_3(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(d8_radix_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k3_radix_1(B)))  =>  (! [D] :  ( (v3_card_1(D, k2_xcmplx_0(A, 1)) & m2_finseq_1(D, k4_radix_3(B)))  =>  (D=k10_radix_3(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k2_finseq_1(k2_xcmplx_0(A, 1))) => k7_radix_3(E, B, k2_xcmplx_0(A, 1), D)=k9_radix_3(E, B, A, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_radix_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v3_card_1(D, B) & m2_finseq_1(D, k4_radix_3(C)))  =>  (r2_tarski(A, k2_finseq_1(B)) => m2_subset_1(k7_radix_3(A, C, B, D), k4_numbers, k4_radix_3(C))) ) ) ) ) ) ) ) ) ).
fof(t19_radix_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ( (r1_xxreal_0(2, A) &  (r2_hidden(B, k3_radix_1(A)) & r2_hidden(C, k4_radix_3(A))) )  => r2_hidden(k6_radix_3(k2_xcmplx_0(B, C), A), k3_radix_3(A))) ) ) ) ) ) ) ).
fof(d9_radix_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v3_card_1(D, C) & m2_finseq_1(D, k4_radix_3(B)))  => k11_radix_3(A, B, C, D)=k7_radix_3(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(d10_radix_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v3_card_1(D, C) & m2_finseq_1(D, k4_radix_3(B)))  => k12_radix_3(A, B, C, D)=k3_xcmplx_0(k11_newton(k1_radix_1(B), k7_nat_d(A, 1)), k11_radix_3(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(d11_radix_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k4_radix_3(B)))  =>  (! [D] :  ( (v3_card_1(D, A) & m2_finseq_1(D, k4_numbers))  =>  (D=k13_radix_3(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k2_finseq_1(A)) => k7_partfun1(k4_numbers, D, E)=k12_radix_3(E, B, A, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_radix_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k4_radix_3(B)))  => k14_radix_3(A, B, C)=k1_gr_cy_1(k13_radix_3(A, B, C))) ) ) ) ) ) ).
fof(t20_radix_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(D, k2_finseq_1(A)) & r1_xxreal_0(2, C))  => k7_radix_3(D, C, k2_xcmplx_0(k2_xcmplx_0(A, 1), 1), k10_radix_3(k2_xcmplx_0(A, 1), C, k10_radix_1(C, k2_xcmplx_0(A, 1), B)))=k7_radix_3(D, C, k2_xcmplx_0(A, 1), k10_radix_3(A, C, k10_radix_1(C, A, k4_nat_d(B, k1_newton(k1_radix_1(C), A)))))) ) ) ) ) ) ) ) ) ).
fof(t21_radix_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(2, B) & r1_radix_1(A, C, B))  => C=k14_radix_3(k2_xcmplx_0(A, 1), B, k10_radix_3(A, B, k10_radix_1(B, A, C)))) ) ) ) ) ) ) ) ).
fof(dt_k3_radix_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (v1_xboole_0(k3_radix_3(A)))  & m1_subset_1(k3_radix_3(A), k1_zfmisc_1(k4_numbers))) ) ) ).
fof(redefinition_k3_radix_3, axiom,  (! [A] :  (v7_ordinal1(A) => k3_radix_3(A)=k1_radix_3(A)) ) ).
fof(dt_k4_radix_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (v1_xboole_0(k4_radix_3(A)))  & m1_subset_1(k4_radix_3(A), k1_zfmisc_1(k4_numbers))) ) ) ).
fof(redefinition_k4_radix_3, axiom,  (! [A] :  (v7_ordinal1(A) => k4_radix_3(A)=k2_radix_3(A)) ) ).
fof(dt_k5_radix_3, axiom,  (! [A, B] :  ( (v1_int_1(A) & v7_ordinal1(B))  => v1_int_1(k5_radix_3(A, B))) ) ).
fof(dt_k6_radix_3, axiom,  (! [A, B] :  ( (v1_int_1(A) & v7_ordinal1(B))  => v1_int_1(k6_radix_3(A, B))) ) ).
fof(dt_k7_radix_3, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  (v3_card_1(D, C) & m1_finseq_1(D, k4_radix_3(B))) ) ) )  => v1_int_1(k7_radix_3(A, B, C, D))) ) ).
fof(dt_k8_radix_3, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  (v3_card_1(D, C) & m1_finseq_1(D, k3_radix_1(B))) ) ) )  => v1_int_1(k8_radix_3(A, B, C, D))) ) ).
fof(dt_k9_radix_3, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  (v3_card_1(D, C) & m1_finseq_1(D, k3_radix_1(B))) ) ) )  => m2_subset_1(k9_radix_3(A, B, C, D), k4_numbers, k4_radix_3(B))) ) ).
fof(dt_k10_radix_3, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v3_card_1(C, A) & m1_finseq_1(C, k3_radix_1(B))) ) )  =>  (v3_card_1(k10_radix_3(A, B, C), k2_xcmplx_0(A, 1)) & m2_finseq_1(k10_radix_3(A, B, C), k4_radix_3(B))) ) ) ).
fof(dt_k11_radix_3, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  (v3_card_1(D, C) & m1_finseq_1(D, k4_radix_3(B))) ) ) )  => m1_subset_1(k11_radix_3(A, B, C, D), k4_numbers)) ) ).
fof(dt_k12_radix_3, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  (v3_card_1(D, C) & m1_finseq_1(D, k4_radix_3(B))) ) ) )  => m1_subset_1(k12_radix_3(A, B, C, D), k4_numbers)) ) ).
fof(dt_k13_radix_3, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v3_card_1(C, A) & m1_finseq_1(C, k4_radix_3(B))) ) )  =>  (v3_card_1(k13_radix_3(A, B, C), A) & m2_finseq_1(k13_radix_3(A, B, C), k4_numbers)) ) ) ).
fof(dt_k14_radix_3, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v3_card_1(C, A) & m1_finseq_1(C, k4_radix_3(B))) ) )  => v1_int_1(k14_radix_3(A, B, C))) ) ).
fof(d1_radix_3, axiom,  (! [A] :  (v7_ordinal1(A) => k1_radix_3(A)=a_1_0_radix_3(A)) ) ).
fof(d2_radix_3, axiom,  (! [A] :  (v7_ordinal1(A) => k2_radix_3(A)=a_1_1_radix_3(A)) ) ).
fof(fraenkel_a_1_0_radix_3, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_0_radix_3(B)) <=>  (? [C] :  (m1_subset_1(C, k4_numbers) &  (A=C &  (r1_xxreal_0(k4_xcmplx_0(k1_radix_1(k7_nat_d(B, 1))), C) & r1_xxreal_0(C, k6_xcmplx_0(k1_radix_1(k7_nat_d(B, 1)), 1))) ) ) ) ) ) ) ).
fof(fraenkel_a_1_1_radix_3, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_1_radix_3(B)) <=>  (? [C] :  (m1_subset_1(C, k4_numbers) &  (A=C &  (r1_xxreal_0(k6_xcmplx_0(k4_xcmplx_0(k1_radix_1(k7_nat_d(B, 1))), 1), C) & r1_xxreal_0(C, k1_radix_1(k7_nat_d(B, 1)))) ) ) ) ) ) ) ).
fof(t1_radix_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ ( (r1_xxreal_0(2, A) & r1_xxreal_0(k1_radix_1(A), 2)) ) ) ) ).
fof(t2_radix_4, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(3, C) => k5_radix_3(k2_xcmplx_0(k5_radix_3(A, C), k5_radix_3(B, C)), C)=k5_numbers) ) ) ) ) ) ) ).
fof(t3_radix_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(2, C) => k7_radix_3(k2_xcmplx_0(A, 1), C, k2_xcmplx_0(A, 1), k10_radix_3(A, C, k10_radix_1(C, A, B)))=k5_radix_3(k4_radix_1(A, C, A, k10_radix_1(C, A, B)), C)) ) ) ) ) ) ) ).
fof(t4_radix_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(2, B) & r1_radix_1(1, A, B))  => k7_radix_3(k2_xcmplx_0(1, 1), B, k2_xcmplx_0(1, 1), k10_radix_3(1, B, k10_radix_1(B, 1, A)))=k5_radix_3(A, B)) ) ) ) ) ).
fof(t5_radix_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(3, A) & r1_radix_1(k2_xcmplx_0(C, 1), B, A)) )  => k7_radix_3(k2_xcmplx_0(C, 1), A, k2_xcmplx_0(C, 1), k10_radix_3(C, A, k10_radix_1(A, C, k4_nat_d(B, k1_newton(k1_radix_1(A), C)))))=k5_radix_3(k4_radix_1(C, A, C, k10_radix_1(A, C, B)), A)) ) ) ) ) ) ) ).
fof(t6_radix_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(2, B) & r1_radix_1(1, A, B))  => k7_radix_3(1, B, k2_xcmplx_0(1, 1), k10_radix_3(1, B, k10_radix_1(B, 1, A)))=k6_xcmplx_0(A, k3_xcmplx_0(k5_radix_3(A, B), k1_radix_1(B)))) ) ) ) ) ).
fof(t7_radix_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(2, A) => k3_xcmplx_0(k1_newton(k1_radix_1(A), C), k7_radix_3(k2_xcmplx_0(C, 1), A, k2_xcmplx_0(k2_xcmplx_0(C, 1), 1), k10_radix_3(k2_xcmplx_0(C, 1), A, k10_radix_1(A, k2_xcmplx_0(C, 1), B))))=k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_newton(k1_radix_1(A), C), k4_radix_1(k2_xcmplx_0(C, 1), A, k2_xcmplx_0(C, 1), k10_radix_1(A, k2_xcmplx_0(C, 1), B))), k3_xcmplx_0(k1_newton(k1_radix_1(A), k2_xcmplx_0(C, 1)), k5_radix_3(k4_radix_1(k2_xcmplx_0(C, 1), A, k2_xcmplx_0(C, 1), k10_radix_1(A, k2_xcmplx_0(C, 1), B)), A))), k3_xcmplx_0(k1_newton(k1_radix_1(A), C), k5_radix_3(k4_radix_1(C, A, k2_xcmplx_0(C, 1), k10_radix_1(A, k2_xcmplx_0(C, 1), B)), A)))) ) ) ) ) ) ) ).
fof(d1_radix_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v3_card_1(D, B) & m2_finseq_1(D, k4_radix_3(C)))  =>  (! [E] :  ( (v3_card_1(E, B) & m2_finseq_1(E, k4_radix_3(C)))  =>  ( (r2_tarski(A, k2_finseq_1(B)) & r1_xxreal_0(2, C))  => k1_radix_4(A, B, C, D, E)=k2_xcmplx_0(k6_radix_3(k2_xcmplx_0(k7_radix_3(A, C, B, D), k7_radix_3(A, C, B, E)), C), k5_radix_3(k2_xcmplx_0(k7_radix_3(k7_nat_d(A, 1), C, B, D), k7_radix_3(k7_nat_d(A, 1), C, B, E)), C))) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_radix_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k4_radix_3(B)))  =>  (! [D] :  ( (v3_card_1(D, A) & m2_finseq_1(D, k4_radix_3(B)))  =>  (! [E] :  ( (v3_card_1(E, A) & m2_finseq_1(E, k4_radix_3(B)))  =>  (E=k2_radix_4(A, B, C, D) <=>  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k2_finseq_1(A)) => k7_radix_3(F, B, A, E)=k1_radix_4(F, A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_radix_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(E, k2_finseq_1(A)) & r1_xxreal_0(2, B))  => k1_radix_4(E, k2_xcmplx_0(k2_xcmplx_0(A, 1), 1), B, k10_radix_3(k2_xcmplx_0(A, 1), B, k10_radix_1(B, k2_xcmplx_0(A, 1), C)), k10_radix_3(k2_xcmplx_0(A, 1), B, k10_radix_1(B, k2_xcmplx_0(A, 1), D)))=k1_radix_4(E, k2_xcmplx_0(A, 1), B, k10_radix_3(A, B, k10_radix_1(B, A, k4_nat_d(C, k1_newton(k1_radix_1(B), A)))), k10_radix_3(A, B, k10_radix_1(B, A, k4_nat_d(D, k1_newton(k1_radix_1(B), A)))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_radix_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(3, B) &  (r1_radix_1(A, C, B) & r1_radix_1(A, D, B)) )  => k2_xcmplx_0(C, D)=k14_radix_3(k2_xcmplx_0(A, 1), B, k2_radix_4(k2_xcmplx_0(A, 1), B, k10_radix_3(A, B, k10_radix_1(B, A, C)), k10_radix_3(A, B, k10_radix_1(B, A, D))))) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_radix_4, axiom,  (! [A, B, C, D, E] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  ( (v3_card_1(D, B) & m1_finseq_1(D, k4_radix_3(C)))  &  (v3_card_1(E, B) & m1_finseq_1(E, k4_radix_3(C))) ) ) ) )  => m2_subset_1(k1_radix_4(A, B, C, D, E), k4_numbers, k4_radix_3(C))) ) ).
fof(dt_k2_radix_4, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( (v3_card_1(C, A) & m1_finseq_1(C, k4_radix_3(B)))  &  (v3_card_1(D, A) & m1_finseq_1(D, k4_radix_3(B))) ) ) )  =>  (v3_card_1(k2_radix_4(A, B, C, D), A) & m2_finseq_1(k2_radix_4(A, B, C, D), k4_radix_3(B))) ) ) ).
fof(t1_radix_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(2, A) => r2_tarski(k6_xcmplx_0(k1_radix_1(A), 1), k3_radix_1(A))) ) ) ).
fof(t2_radix_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(A, k2_finseq_1(B)) =>  (r1_xxreal_0(A, 1) | r2_tarski(k7_nat_d(A, 1), k2_finseq_1(B))) ) ) ) ) ) ).
fof(t3_radix_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(2, A) => r1_xxreal_0(4, k1_radix_1(A))) ) ) ).
fof(t4_radix_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v3_card_1(B, 1) & m2_finseq_1(B, k3_radix_1(A)))  => k8_radix_1(1, A, B)=k4_radix_1(1, A, 1, B)) ) ) ) ).
fof(t5_radix_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(A, k2_finseq_1(C)) => k4_radix_1(A, B, C, k10_radix_1(B, C, k5_numbers))=k5_numbers) ) ) ) ) ) ) ).
fof(t6_radix_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(1, A) => k8_radix_1(A, B, k10_radix_1(B, A, k5_numbers))=k5_numbers) ) ) ) ) ).
fof(t7_radix_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r2_tarski(1, k2_finseq_1(B)) & r1_xxreal_0(2, A))  => k4_radix_1(1, A, B, k10_radix_1(A, B, 1))=1) ) ) ) ) ).
fof(t8_radix_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r2_tarski(A, k2_finseq_1(C)) & r1_xxreal_0(2, B))  =>  (r1_xxreal_0(A, 1) | k4_radix_1(A, B, C, k10_radix_1(B, C, 1))=k5_numbers) ) ) ) ) ) ) ) ).
fof(t9_radix_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(2, B))  => k8_radix_1(A, B, k10_radix_1(B, A, 1))=1) ) ) ) ) ).
fof(t10_radix_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(2, A) => k11_radix_1(k1_radix_1(A))=1) ) ) ).
fof(t11_radix_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(2, A) => k12_radix_1(k1_radix_1(A), A)=k5_numbers) ) ) ).
fof(t12_radix_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k3_radix_1(B)))  =>  (! [D] :  ( (v3_card_1(D, A) & m2_finseq_1(D, k3_radix_1(B)))  =>  ( (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k2_finseq_1(A)) => k4_radix_1(E, B, A, C)=k4_radix_1(E, B, A, D)) ) )  => k8_radix_1(A, B, C)=k8_radix_1(A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t13_radix_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k3_radix_1(B)))  =>  (! [D] :  ( (v3_card_1(D, A) & m2_finseq_1(D, k3_radix_1(B)))  =>  ( (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k2_finseq_1(A)) => r1_xxreal_0(k4_radix_1(E, B, A, D), k4_radix_1(E, B, A, C))) ) )  => r1_xxreal_0(k8_radix_1(A, B, D), k8_radix_1(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t14_radix_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(2, B) =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k3_radix_1(B)))  =>  (! [D] :  ( (v3_card_1(D, A) & m2_finseq_1(D, k3_radix_1(B)))  =>  (! [E] :  ( (v3_card_1(E, A) & m2_finseq_1(E, k3_radix_1(B)))  =>  (! [F] :  ( (v3_card_1(F, A) & m2_finseq_1(F, k3_radix_1(B)))  =>  ( (! [G] :  (v7_ordinal1(G) =>  ~ ( (r2_tarski(G, k2_finseq_1(A)) &  ( ~ ( (k4_radix_1(G, B, A, C)=k4_radix_1(G, B, A, E) & k4_radix_1(G, B, A, D)=k4_radix_1(G, B, A, F)) )  &  ~ ( (k4_radix_1(G, B, A, D)=k4_radix_1(G, B, A, E) & k4_radix_1(G, B, A, C)=k4_radix_1(G, B, A, F)) ) ) ) ) ) )  => k2_xcmplx_0(k8_radix_1(A, B, E), k8_radix_1(A, B, F))=k2_xcmplx_0(k8_radix_1(A, B, C), k8_radix_1(A, B, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_radix_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(2, B))  =>  (! [C] :  ( (v3_card_1(C, A) & m2_finseq_1(C, k3_radix_1(B)))  =>  (! [D] :  ( (v3_card_1(D, A) & m2_finseq_1(D, k3_radix_1(B)))  =>  (! [E] :  ( (v3_card_1(E, A) & m2_finseq_1(E, k3_radix_1(B)))  =>  ( (! [F] :  (v7_ordinal1(F) =>  ~ ( (r2_tarski(F, k2_finseq_1(A)) &  ( ~ ( (k4_radix_1(F, B, A, C)=k4_radix_1(F, B, A, E) & k4_radix_1(F, B, A, D)=k5_numbers) )  &  ~ ( (k4_radix_1(F, B, A, D)=k4_radix_1(F, B, A, E) & k4_radix_1(F, B, A, C)=k5_numbers) ) ) ) ) ) )  => k2_xcmplx_0(k8_radix_1(A, B, E), k8_radix_1(A, B, k10_radix_1(B, A, k5_numbers)))=k2_xcmplx_0(k8_radix_1(A, B, C), k8_radix_1(A, B, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_radix_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(2, C) =>  ( (r1_xxreal_0(1, A) =>  (r1_xxreal_0(B, A) | k1_radix_5(A, B, C)=k2_xcmplx_0(k4_xcmplx_0(k1_radix_1(C)), 1)) )  &  ( ~ ( (r1_xxreal_0(1, A) &  ~ (r1_xxreal_0(B, A)) ) )  => k1_radix_5(A, B, C)=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(d2_radix_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v3_card_1(D, A) & m2_finseq_1(D, k3_radix_1(C)))  =>  (D=k2_radix_5(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k2_finseq_1(A)) => k4_radix_1(E, C, A, D)=k1_radix_5(E, B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_radix_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(2, C) =>  ( (r1_xxreal_0(1, A) =>  (r1_xxreal_0(B, A) | k3_radix_5(A, B, C)=k6_xcmplx_0(k1_radix_1(C), 1)) )  &  ( ~ ( (r1_xxreal_0(1, A) &  ~ (r1_xxreal_0(B, A)) ) )  => k3_radix_5(A, B, C)=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(d4_radix_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v3_card_1(D, A) & m2_finseq_1(D, k3_radix_1(C)))  =>  (D=k4_radix_5(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k2_finseq_1(A)) => k4_radix_1(E, C, A, D)=k3_radix_5(E, B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_radix_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(2, C) =>  ( (A=B => k5_radix_5(A, B, C)=1)  &  ( ~ (A=B)  => k5_radix_5(A, B, C)=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(d6_radix_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v3_card_1(D, A) & m2_finseq_1(D, k3_radix_1(C)))  =>  (D=k6_radix_5(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k2_finseq_1(A)) => k4_radix_1(E, C, A, D)=k5_radix_5(E, B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_radix_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(2, C) =>  ( (A=B => k7_radix_5(A, B, C)=k6_xcmplx_0(k1_radix_1(C), 1))  &  ( ~ (A=B)  => k7_radix_5(A, B, C)=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(d8_radix_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v3_card_1(D, A) & m2_finseq_1(D, k3_radix_1(C)))  =>  (D=k8_radix_5(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k2_finseq_1(A)) => k4_radix_1(E, C, A, D)=k7_radix_5(E, B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_radix_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(2, C) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k2_finseq_1(A)) => k2_xcmplx_0(k4_radix_1(D, C, A, k4_radix_5(A, B, C)), k4_radix_1(D, C, A, k2_radix_5(A, B, C)))=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t17_radix_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(2, C) => k2_xcmplx_0(k8_radix_1(A, C, k4_radix_5(A, B, C)), k8_radix_1(A, C, k2_radix_5(A, B, C)))=k8_radix_1(A, C, k10_radix_1(C, A, k5_numbers))) ) ) ) ) ) ) ) ).
fof(t18_radix_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r2_tarski(B, k2_finseq_1(A)) & r1_xxreal_0(2, C))  => k8_radix_1(A, C, k6_radix_5(A, B, C))=k2_xcmplx_0(k8_radix_1(A, C, k4_radix_5(A, B, C)), k8_radix_1(A, C, k10_radix_1(C, A, 1)))) ) ) ) ) ) ) ) ).
fof(t19_radix_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r2_tarski(B, k2_finseq_1(A)) & r1_xxreal_0(2, C))  => k8_radix_1(k2_xcmplx_0(A, 1), C, k6_radix_5(k2_xcmplx_0(A, 1), k2_xcmplx_0(B, 1), C))=k2_xcmplx_0(k8_radix_1(k2_xcmplx_0(A, 1), C, k6_radix_5(k2_xcmplx_0(A, 1), B, C)), k8_radix_1(k2_xcmplx_0(A, 1), C, k8_radix_5(k2_xcmplx_0(A, 1), B, C)))) ) ) ) ) ) ) ).
fof(dt_k1_radix_5, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) & v7_ordinal1(C)) )  => m2_subset_1(k1_radix_5(A, B, C), k4_numbers, k3_radix_1(C))) ) ).
fof(dt_k2_radix_5, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) & v7_ordinal1(C)) )  =>  (v3_card_1(k2_radix_5(A, B, C), A) & m2_finseq_1(k2_radix_5(A, B, C), k3_radix_1(C))) ) ) ).
fof(dt_k3_radix_5, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) & v7_ordinal1(C)) )  => m2_subset_1(k3_radix_5(A, B, C), k4_numbers, k3_radix_1(C))) ) ).
fof(dt_k4_radix_5, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) & v7_ordinal1(C)) )  =>  (v3_card_1(k4_radix_5(A, B, C), A) & m2_finseq_1(k4_radix_5(A, B, C), k3_radix_1(C))) ) ) ).
fof(dt_k5_radix_5, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) & v7_ordinal1(C)) )  => m2_subset_1(k5_radix_5(A, B, C), k4_numbers, k3_radix_1(C))) ) ).
fof(dt_k6_radix_5, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) & v7_ordinal1(C)) )  =>  (v3_card_1(k6_radix_5(A, B, C), A) & m2_finseq_1(k6_radix_5(A, B, C), k3_radix_1(C))) ) ) ).
fof(dt_k7_radix_5, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) & v7_ordinal1(C)) )  => m2_subset_1(k7_radix_5(A, B, C), k4_numbers, k3_radix_1(C))) ) ).
fof(dt_k8_radix_5, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) & v7_ordinal1(C)) )  =>  (v3_card_1(k8_radix_5(A, B, C), A) & m2_finseq_1(k8_radix_5(A, B, C), k3_radix_1(C))) ) ) ).
fof(t1_radix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(2, C))  => k8_radix_1(k2_xcmplx_0(B, A), C, k6_radix_5(k2_xcmplx_0(B, A), B, C))=k8_radix_1(B, C, k6_radix_5(B, B, C))) ) ) ) ) ) ) ) ).
fof(t2_radix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(2, B) & r1_xxreal_0(k8_radix_1(A, B, k6_radix_5(A, A, B)), k5_numbers)) ) ) ) ) ) ) ).
fof(d1_radix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v3_card_1(D, k2_xcmplx_0(B, 2)) & m2_finseq_1(D, k3_radix_1(C)))  =>  (r2_hidden(A, k2_finseq_1(k2_xcmplx_0(B, 2))) =>  ( (r1_xxreal_0(B, A) => k1_radix_6(A, B, C, D)=k1_funct_1(D, A))  &  ( ~ (r1_xxreal_0(B, A))  => k1_radix_6(A, B, C, D)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_radix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_card_1(C, k2_xcmplx_0(A, 2)) & m2_finseq_1(C, k3_radix_1(B)))  =>  (! [D] :  ( (v3_card_1(D, k2_xcmplx_0(A, 2)) & m2_finseq_1(D, k3_radix_1(B)))  =>  (D=k2_radix_6(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) =>  (r2_hidden(E, k2_finseq_1(k2_xcmplx_0(A, 2))) => k4_radix_1(E, B, k2_xcmplx_0(A, 2), D)=k1_radix_6(E, A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_radix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v3_card_1(D, k2_xcmplx_0(B, 2)) & m2_finseq_1(D, k3_radix_1(C)))  =>  ( (r1_xxreal_0(2, C) & r2_hidden(A, k2_finseq_1(k2_xcmplx_0(B, 2))))  =>  ( (r1_xxreal_0(B, A) => k3_radix_6(A, B, C, D)=k1_funct_1(D, A))  &  ( ~ (r1_xxreal_0(B, A))  => k3_radix_6(A, B, C, D)=k6_xcmplx_0(k1_radix_1(C), 1)) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_radix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_card_1(C, k2_xcmplx_0(A, 2)) & m2_finseq_1(C, k3_radix_1(B)))  =>  (! [D] :  ( (v3_card_1(D, k2_xcmplx_0(A, 2)) & m2_finseq_1(D, k3_radix_1(B)))  =>  (D=k4_radix_6(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) =>  (r2_hidden(E, k2_finseq_1(k2_xcmplx_0(A, 2))) => k4_radix_1(E, B, k2_xcmplx_0(A, 2), D)=k3_radix_6(E, A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_radix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v3_card_1(D, k2_xcmplx_0(B, 2)) & m2_finseq_1(D, k3_radix_1(C)))  =>  ( (r1_xxreal_0(2, C) & r2_hidden(A, k2_finseq_1(k2_xcmplx_0(B, 2))))  =>  ( (r1_xxreal_0(B, A) => k5_radix_6(A, B, C, D)=k1_funct_1(D, A))  &  ( ~ (r1_xxreal_0(B, A))  => k5_radix_6(A, B, C, D)=k2_xcmplx_0(k4_xcmplx_0(k1_radix_1(C)), 1)) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_radix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_card_1(C, k2_xcmplx_0(A, 2)) & m2_finseq_1(C, k3_radix_1(B)))  =>  (! [D] :  ( (v3_card_1(D, k2_xcmplx_0(A, 2)) & m2_finseq_1(D, k3_radix_1(B)))  =>  (D=k6_radix_6(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) =>  (r2_hidden(E, k2_finseq_1(k2_xcmplx_0(A, 2))) => k4_radix_1(E, B, k2_xcmplx_0(A, 2), D)=k5_radix_6(E, A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_radix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(2, B) =>  (! [C] :  ( (v3_card_1(C, k2_xcmplx_0(A, 2)) & m2_finseq_1(C, k3_radix_1(B)))  => r1_xxreal_0(k8_radix_1(k2_xcmplx_0(A, 2), B, C), k8_radix_1(k2_xcmplx_0(A, 2), B, k4_radix_6(A, B, C)))) ) ) ) ) ) ) ).
fof(t4_radix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(2, B) =>  (! [C] :  ( (v3_card_1(C, k2_xcmplx_0(A, 2)) & m2_finseq_1(C, k3_radix_1(B)))  => r1_xxreal_0(k8_radix_1(k2_xcmplx_0(A, 2), B, k6_radix_6(A, B, C)), k8_radix_1(k2_xcmplx_0(A, 2), B, C))) ) ) ) ) ) ) ).
fof(d7_radix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_int_1(C) =>  (r1_radix_6(A, B, C) <=>  ( ~ (r1_xxreal_0(k1_newton(k1_radix_1(B), A), C))  & r1_xxreal_0(k11_newton(k1_radix_1(B), k7_nat_d(A, 1)), C)) ) ) ) ) ) ) ) ).
fof(t5_radix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r2_hidden(D, k2_finseq_1(B)) => r1_xxreal_0(k5_numbers, k4_radix_1(D, C, B, k10_radix_1(C, B, A)))) ) ) ) ) ) ) ) ) ).
fof(t6_radix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, A) &  (r1_radix_6(A, B, C) & r1_xxreal_0(k4_radix_1(A, B, A, k10_radix_1(B, A, C)), k5_numbers)) ) ) ) ) ) ) ) ) ).
fof(t7_radix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(2, C) & r1_radix_6(B, C, A)) )  => r1_xxreal_0(k8_radix_1(k2_xcmplx_0(B, 2), C, k6_radix_5(k2_xcmplx_0(B, 2), B, C)), A)) ) ) ) ) ) ) ).
fof(t8_radix_6, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ~ ( ( ~ (r1_xxreal_0(k2_xcmplx_0(A, C), B))  &  ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v1_int_1(D) =>  ~ ( ( ~ (r1_xxreal_0(k6_xcmplx_0(A, k3_xcmplx_0(D, C)), k4_xcmplx_0(C)))  &  ~ (r1_xxreal_0(C, k6_xcmplx_0(B, k3_xcmplx_0(D, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_radix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(2, B) =>  (! [C] :  ( (v3_card_1(C, k2_xcmplx_0(A, 2)) & m2_finseq_1(C, k3_radix_1(B)))  => k2_xcmplx_0(k8_radix_1(k2_xcmplx_0(A, 2), B, k4_radix_6(A, B, C)), k8_radix_1(k2_xcmplx_0(A, 2), B, k10_radix_1(B, k2_xcmplx_0(A, 2), k5_numbers)))=k2_xcmplx_0(k8_radix_1(k2_xcmplx_0(A, 2), B, k2_radix_6(A, B, C)), k8_radix_1(k2_xcmplx_0(A, 2), B, k4_radix_5(k2_xcmplx_0(A, 2), A, B)))) ) ) ) ) ) ) ).
fof(t10_radix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(2, B))  =>  (! [C] :  ( (v3_card_1(C, k2_xcmplx_0(A, 2)) & m2_finseq_1(C, k3_radix_1(B)))  =>  ~ (r1_xxreal_0(k2_xcmplx_0(k8_radix_1(k2_xcmplx_0(A, 2), B, k2_radix_6(A, B, C)), k8_radix_1(k2_xcmplx_0(A, 2), B, k6_radix_5(k2_xcmplx_0(A, 2), A, B))), k8_radix_1(k2_xcmplx_0(A, 2), B, k4_radix_6(A, B, C)))) ) ) ) ) ) ) ) ).
fof(t11_radix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(2, B) =>  (! [C] :  ( (v3_card_1(C, k2_xcmplx_0(A, 2)) & m2_finseq_1(C, k3_radix_1(B)))  => k2_xcmplx_0(k8_radix_1(k2_xcmplx_0(A, 2), B, k6_radix_6(A, B, C)), k8_radix_1(k2_xcmplx_0(A, 2), B, k10_radix_1(B, k2_xcmplx_0(A, 2), k5_numbers)))=k2_xcmplx_0(k8_radix_1(k2_xcmplx_0(A, 2), B, k2_radix_6(A, B, C)), k8_radix_1(k2_xcmplx_0(A, 2), B, k2_radix_5(k2_xcmplx_0(A, 2), A, B)))) ) ) ) ) ) ) ).
fof(t12_radix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_card_1(C, k2_xcmplx_0(A, 2)) & m2_finseq_1(C, k3_radix_1(B)))  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(2, B))  => k2_xcmplx_0(k8_radix_1(k2_xcmplx_0(A, 2), B, k2_radix_6(A, B, C)), k8_radix_1(k2_xcmplx_0(A, 2), B, k10_radix_1(B, k2_xcmplx_0(A, 2), k5_numbers)))=k2_xcmplx_0(k8_radix_1(k2_xcmplx_0(A, 2), B, k6_radix_6(A, B, C)), k8_radix_1(k2_xcmplx_0(A, 2), B, k4_radix_5(k2_xcmplx_0(A, 2), A, B)))) ) ) ) ) ) ) ).
fof(t13_radix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(2, B))  =>  (! [C] :  ( (v3_card_1(C, k2_xcmplx_0(A, 2)) & m2_finseq_1(C, k3_radix_1(B)))  =>  ~ (r1_xxreal_0(k2_xcmplx_0(k8_radix_1(k2_xcmplx_0(A, 2), B, k6_radix_6(A, B, C)), k8_radix_1(k2_xcmplx_0(A, 2), B, k6_radix_5(k2_xcmplx_0(A, 2), A, B))), k8_radix_1(k2_xcmplx_0(A, 2), B, k2_radix_6(A, B, C)))) ) ) ) ) ) ) ) ).
fof(t14_radix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v3_card_1(D, k2_xcmplx_0(A, 2)) & m2_finseq_1(D, k3_radix_1(B)))  =>  ~ ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(2, B) &  (r1_radix_6(A, B, C) &  (! [E] :  (v1_int_1(E) =>  ~ ( ( ~ (r1_xxreal_0(k6_xcmplx_0(k8_radix_1(k2_xcmplx_0(A, 2), B, k2_radix_6(A, B, D)), k3_xcmplx_0(E, C)), k4_xcmplx_0(C)))  &  ~ (r1_xxreal_0(C, k6_xcmplx_0(k8_radix_1(k2_xcmplx_0(A, 2), B, k4_radix_6(A, B, D)), k3_xcmplx_0(E, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_radix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v3_card_1(D, k2_xcmplx_0(A, 2)) & m2_finseq_1(D, k3_radix_1(B)))  =>  ~ ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(2, B) &  (r1_radix_6(A, B, C) &  (! [E] :  (v1_int_1(E) =>  ~ ( ( ~ (r1_xxreal_0(k6_xcmplx_0(k8_radix_1(k2_xcmplx_0(A, 2), B, k6_radix_6(A, B, D)), k3_xcmplx_0(E, C)), k4_xcmplx_0(C)))  &  ~ (r1_xxreal_0(C, k6_xcmplx_0(k8_radix_1(k2_xcmplx_0(A, 2), B, k2_radix_6(A, B, D)), k3_xcmplx_0(E, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_radix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_card_1(C, k2_xcmplx_0(A, 2)) & m2_finseq_1(C, k3_radix_1(B)))  =>  ~ ( (r1_xxreal_0(2, B) &  ( ~ ( (r1_xxreal_0(k8_radix_1(k2_xcmplx_0(A, 2), B, k2_radix_6(A, B, C)), k8_radix_1(k2_xcmplx_0(A, 2), B, C)) & r1_xxreal_0(k8_radix_1(k2_xcmplx_0(A, 2), B, C), k8_radix_1(k2_xcmplx_0(A, 2), B, k4_radix_6(A, B, C)))) )  &  ~ ( (r1_xxreal_0(k8_radix_1(k2_xcmplx_0(A, 2), B, k6_radix_6(A, B, C)), k8_radix_1(k2_xcmplx_0(A, 2), B, C)) &  ~ (r1_xxreal_0(k8_radix_1(k2_xcmplx_0(A, 2), B, k2_radix_6(A, B, C)), k8_radix_1(k2_xcmplx_0(A, 2), B, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_radix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v3_card_1(D, k2_xcmplx_0(B, 2)) & m2_finseq_1(D, k3_radix_1(C)))  =>  (r2_hidden(A, k2_finseq_1(k2_xcmplx_0(B, 2))) =>  ( ( ~ (r1_xxreal_0(B, A))  => k7_radix_6(A, B, C, D)=k1_funct_1(D, A))  &  (r1_xxreal_0(B, A) => k7_radix_6(A, B, C, D)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_radix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_card_1(C, k2_xcmplx_0(A, 2)) & m2_finseq_1(C, k3_radix_1(B)))  =>  (! [D] :  ( (v3_card_1(D, k2_xcmplx_0(A, 2)) & m2_finseq_1(D, k3_radix_1(B)))  =>  (D=k8_radix_6(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) =>  (r2_hidden(E, k2_finseq_1(k2_xcmplx_0(A, 2))) => k4_radix_1(E, B, k2_xcmplx_0(A, 2), D)=k7_radix_6(E, A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_radix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_card_1(C, k2_xcmplx_0(A, 2)) & m2_finseq_1(C, k3_radix_1(B)))  =>  (r1_xxreal_0(2, B) => k2_xcmplx_0(k8_radix_1(k2_xcmplx_0(A, 2), B, k2_radix_6(A, B, C)), k8_radix_1(k2_xcmplx_0(A, 2), B, k8_radix_6(A, B, C)))=k2_xcmplx_0(k8_radix_1(k2_xcmplx_0(A, 2), B, C), k8_radix_1(k2_xcmplx_0(A, 2), B, k10_radix_1(B, k2_xcmplx_0(A, 2), k5_numbers)))) ) ) ) ) ) ) ).
fof(t18_radix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_card_1(C, k2_xcmplx_0(A, 2)) & m2_finseq_1(C, k3_radix_1(B)))  =>  ~ ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(2, B) &  ( ~ (r1_xxreal_0(k8_radix_1(k2_xcmplx_0(A, 2), B, k8_radix_6(A, B, C)), k5_numbers))  & r1_xxreal_0(k8_radix_1(k2_xcmplx_0(A, 2), B, C), k8_radix_1(k2_xcmplx_0(A, 2), B, k2_radix_6(A, B, C)))) ) ) ) ) ) ) ) ) ) ).
fof(d10_radix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(2, C) =>  ( ( ~ (r1_xxreal_0(A, B))  => k9_radix_6(A, B, C)=k5_numbers)  &  ( (A=B => k9_radix_6(A, B, C)=1)  &  (r1_xxreal_0(A, B) =>  (A=B | k9_radix_6(A, B, C)=k2_xcmplx_0(k4_xcmplx_0(k1_radix_1(C)), 1)) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_radix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v3_card_1(D, A) & m2_finseq_1(D, k3_radix_1(C)))  =>  (D=k10_radix_6(A, B, C) <=>  (! [E] :  (v7_ordinal1(E) =>  (r2_hidden(E, k2_finseq_1(A)) => k4_radix_1(E, C, A, D)=k9_radix_6(E, B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_radix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r2_hidden(B, k2_finseq_1(A)) & r1_xxreal_0(2, C))  => k8_radix_1(A, C, k10_radix_6(A, B, C))=1) ) ) ) ) ) ) ) ).
fof(d12_radix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v3_card_1(D, k2_xcmplx_0(B, 2)) & m2_finseq_1(D, k3_radix_1(C)))  =>  (r2_radix_6(A, B, C, D) <=>  (! [E] :  (v7_ordinal1(E) =>  ( ~ (r1_xxreal_0(E, A))  => k4_radix_1(E, C, k2_xcmplx_0(B, 2), D)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_radix_6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v3_card_1(D, k2_xcmplx_0(A, 2)) & m2_finseq_1(D, k3_radix_1(C)))  =>  ~ ( (r1_xxreal_0(2, C) &  (r2_hidden(B, k2_finseq_1(k2_xcmplx_0(A, 2))) &  (r2_radix_6(B, A, C, k8_radix_6(A, C, D)) &  ( ~ (r1_xxreal_0(k4_radix_1(B, C, k2_xcmplx_0(A, 2), k8_radix_6(A, C, D)), k5_numbers))  & r1_xxreal_0(k8_radix_1(k2_xcmplx_0(A, 2), C, k8_radix_6(A, C, D)), k5_numbers)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_radix_6, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  (v3_card_1(D, k2_xcmplx_0(B, 2)) & m1_finseq_1(D, k3_radix_1(C))) ) ) )  => m1_subset_1(k1_radix_6(A, B, C, D), k3_radix_1(C))) ) ).
fof(dt_k2_radix_6, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v3_card_1(C, k2_xcmplx_0(A, 2)) & m1_finseq_1(C, k3_radix_1(B))) ) )  =>  (v3_card_1(k2_radix_6(A, B, C), k2_xcmplx_0(A, 2)) & m2_finseq_1(k2_radix_6(A, B, C), k3_radix_1(B))) ) ) ).
fof(dt_k3_radix_6, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  (v3_card_1(D, k2_xcmplx_0(B, 2)) & m1_finseq_1(D, k3_radix_1(C))) ) ) )  => m1_subset_1(k3_radix_6(A, B, C, D), k3_radix_1(C))) ) ).
fof(dt_k4_radix_6, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v3_card_1(C, k2_xcmplx_0(A, 2)) & m1_finseq_1(C, k3_radix_1(B))) ) )  =>  (v3_card_1(k4_radix_6(A, B, C), k2_xcmplx_0(A, 2)) & m2_finseq_1(k4_radix_6(A, B, C), k3_radix_1(B))) ) ) ).
fof(dt_k5_radix_6, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  (v3_card_1(D, k2_xcmplx_0(B, 2)) & m1_finseq_1(D, k3_radix_1(C))) ) ) )  => m1_subset_1(k5_radix_6(A, B, C, D), k3_radix_1(C))) ) ).
fof(dt_k6_radix_6, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v3_card_1(C, k2_xcmplx_0(A, 2)) & m1_finseq_1(C, k3_radix_1(B))) ) )  =>  (v3_card_1(k6_radix_6(A, B, C), k2_xcmplx_0(A, 2)) & m2_finseq_1(k6_radix_6(A, B, C), k3_radix_1(B))) ) ) ).
fof(dt_k7_radix_6, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  (v3_card_1(D, k2_xcmplx_0(B, 2)) & m1_finseq_1(D, k3_radix_1(C))) ) ) )  => m1_subset_1(k7_radix_6(A, B, C, D), k3_radix_1(C))) ) ).
fof(dt_k8_radix_6, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v3_card_1(C, k2_xcmplx_0(A, 2)) & m1_finseq_1(C, k3_radix_1(B))) ) )  =>  (v3_card_1(k8_radix_6(A, B, C), k2_xcmplx_0(A, 2)) & m2_finseq_1(k8_radix_6(A, B, C), k3_radix_1(B))) ) ) ).
fof(dt_k9_radix_6, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) & v7_ordinal1(C)) )  => m1_subset_1(k9_radix_6(A, B, C), k3_radix_1(C))) ) ).
fof(dt_k10_radix_6, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) & v7_ordinal1(C)) )  =>  (v3_card_1(k10_radix_6(A, B, C), A) & m2_finseq_1(k10_radix_6(A, B, C), k3_radix_1(C))) ) ) ).
fof(fc1_ramsey_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ~ (v1_finset_1(B)) )  =>  ~ (v1_xboole_0(k3_group_10(B, A))) ) ) ).
fof(fc2_ramsey_1, axiom,  (! [A, B] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_finset_1(k2_xboole_0(A, B))) ) ) ).
fof(fc3_ramsey_1, axiom,  (! [A, B] :  ( ( ~ (v1_finset_1(A))  & v1_finset_1(B))  =>  ~ (v1_finset_1(k4_xboole_0(A, B))) ) ) ).
fof(d1_ramsey_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_eqrel_1(D, k3_group_10(A, B)) =>  (r1_ramsey_1(A, B, C, D) <=>  (? [E] :  (m1_subset_1(E, D) & r1_tarski(k3_group_10(C, B), E)) ) ) ) ) ) ) ) ) ).
fof(d2_ramsey_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  ( (v2_funct_1(D) & r1_ordinal1(k4_card_1(A), k1_card_1(B)))  =>  (v1_xboole_0(B) |  (v1_xboole_0(C) |  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k3_group_10(B, A), k3_group_10(C, A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_group_10(B, A), k3_group_10(C, A))))) )  =>  (E=k1_ramsey_1(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, k3_group_10(B, A)) => k1_funct_1(E, F)=k7_relat_1(D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_ramsey_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(B)) =>  ( (v2_funct_1(D) & r1_ordinal1(k4_card_1(A), k1_card_1(B)))  =>  (v1_xboole_0(B) |  (v1_xboole_0(C) | k3_group_10(k7_relat_1(D, E), A)=k7_relat_1(k1_ramsey_1(A, B, C, D), k3_group_10(E, A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_ramsey_1, axiom,  (! [A] :  (r1_tarski(A, k4_ordinal1) =>  (v1_finset_1(A) | k1_card_1(A)=k4_ordinal1) ) ) ).
fof(t3_ramsey_1, axiom,  (! [A] :  (! [B] :  ~ ( ( ~ (v1_finset_1(A))  & v1_finset_1(k2_xboole_0(A, B))) ) ) ) ).
fof(t4_ramsey_1, axiom,  (! [A] :  (! [B] :  ~ ( ( ~ (v1_finset_1(A))  &  (v1_finset_1(B) & v1_finset_1(k6_subset_1(A, B))) ) ) ) ) ).
fof(t5_ramsey_1, axiom,  (! [A] : k3_group_10(A, k5_numbers)=k1_tarski(k5_numbers)) ).
fof(t6_ramsey_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_finset_1(B) =>  ( ~ (r1_xxreal_0(A, k4_card_1(B)))  => v1_xboole_0(k3_group_10(B, A))) ) ) ) ) ).
fof(t7_ramsey_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r1_tarski(A, B) => r1_tarski(k3_group_10(A, C), k3_group_10(B, C))) ) ) ) ).
fof(t8_ramsey_1, axiom,  (! [A] :  (! [B] :  ( (v1_finset_1(A) &  (v1_finset_1(B) & k1_card_1(B)=A) )  => k3_group_10(B, A)=k1_tarski(B)) ) ) ).
fof(t9_ramsey_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ~ ( (v3_funct_1(C) <=>  (? [D] :  (m1_subset_1(D, B) & k10_xtuple_0(C)=k1_tarski(D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_ramsey_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_finset_1(B) =>  ~ ( (r1_xxreal_0(A, k4_card_1(B)) &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  ~ (k4_card_1(C)=A) ) ) ) ) ) ) ) ) ).
fof(t11_ramsey_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(1, B) => r1_xxreal_0(k1_nat_1(A, 1), k4_newton(B, k2_xcmplx_0(A, B)))) ) ) ) ) ).
fof(t12_ramsey_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(1, A))  => r1_xxreal_0(k1_nat_1(B, 1), k4_newton(B, k2_xcmplx_0(A, B)))) ) ) ) ) ).
fof(t13_ramsey_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), D) =>  ( (r2_tarski(B, E) & k3_funct_2(A, D, k14_eqrel_1(A, D), B)=k3_funct_2(A, D, k14_eqrel_1(A, D), C))  => r2_tarski(C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_ramsey_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k3_group_10(C, A), B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k3_group_10(C, A), B)))) )  =>  ~ ( ( ~ (B=k5_numbers)  &  ( ~ (v1_finset_1(C))  &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(C)) =>  ~ ( ( ~ (v1_finset_1(E))  & v3_funct_1(k2_partfun1(k3_group_10(C, A), B, D, k3_group_10(E, A)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_ramsey_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_finset_1(C))  =>  (! [D] :  (m1_eqrel_1(D, k3_group_10(C, A)) =>  ~ ( (k1_card_1(D)=B &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(C)) =>  ~ ( ( ~ (v1_finset_1(E))  & r1_ramsey_1(C, A, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_ramsey_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(2, B) &  (r1_xxreal_0(2, A) &  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(C, k4_newton(k7_nat_d(B, 1), k7_nat_d(k2_xcmplx_0(B, A), 2))) &  (r1_xxreal_0(2, C) &  (! [D] :  (v1_finset_1(D) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k3_group_10(D, 2), k2_finseq_1(2)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_group_10(D, 2), k2_finseq_1(2))))) )  =>  ~ ( (r1_xxreal_0(C, k4_card_1(D)) &  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(D)) =>  ( ~ ( (r1_xxreal_0(B, k4_card_1(F)) & k10_xtuple_0(k2_partfun1(k3_group_10(D, 2), k2_finseq_1(2), E, k3_group_10(F, 2)))=k1_tarski(1)) )  &  ~ ( (r1_xxreal_0(A, k4_card_1(F)) & k10_xtuple_0(k2_partfun1(k3_group_10(D, 2), k2_finseq_1(2), E, k3_group_10(F, 2)))=k1_tarski(2)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_ramsey_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (v7_ordinal1(B) &  (! [C] :  (v1_finset_1(C) =>  (! [D] :  (m1_eqrel_1(D, k3_group_10(C, 2)) =>  ~ ( (r1_xxreal_0(B, k4_card_1(C)) &  (k4_card_1(D)=2 &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(C)) =>  ~ ( (r1_xxreal_0(A, k4_card_1(E)) & r1_ramsey_1(C, 2, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_ramsey_1, axiom,  ( ( (! [A] :  (v7_ordinal1(A) =>  (p1_s1_ramsey_1(k5_numbers, A) & p1_s1_ramsey_1(A, k5_numbers)) ) )  &  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( (p1_s1_ramsey_1(k1_nat_1(B, 1), A) & p1_s1_ramsey_1(B, k1_nat_1(A, 1)))  => p1_s1_ramsey_1(k1_nat_1(B, 1), k1_nat_1(A, 1))) ) ) ) ) )  =>  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => p1_s1_ramsey_1(B, A)) ) ) ) ) ).
fof(dt_k1_ramsey_1, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v1_funct_1(D) &  (v1_funct_2(D, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C)))) ) )  =>  (v1_funct_1(k1_ramsey_1(A, B, C, D)) &  (v1_funct_2(k1_ramsey_1(A, B, C, D), k3_group_10(B, A), k3_group_10(C, A)) & m1_subset_1(k1_ramsey_1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k3_group_10(B, A), k3_group_10(C, A))))) ) ) ) ).
fof(t1_random_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (! [F] :  (v1_xreal_0(F) =>  ( (r1_mesfunc5(A, B, C, D) &  (r1_tarski(E, k1_relset_1(A, D)) &  (! [G] :  (m1_subset_1(G, A) =>  (r2_tarski(G, E) => r1_xxreal_0(F, k12_supinf_2(D, G))) ) ) ) )  =>  (r1_xxreal_0(k1_xxreal_0, k3_funct_2(B, k6_numbers, C, E)) | r1_xxreal_0(k4_xxreal_3(F, k3_funct_2(B, k6_numbers, C, E)), k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_random_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (! [F] :  (v1_xreal_0(F) =>  ( (r3_mesfunc6(A, B, C, D) &  (r1_tarski(E, k1_relset_1(A, D)) &  (! [G] :  (m1_subset_1(G, A) =>  (r2_tarski(G, E) => r1_xxreal_0(F, k12_supinf_2(D, G))) ) ) ) )  =>  (r1_xxreal_0(k1_xxreal_0, k3_funct_2(B, k6_numbers, C, E)) | r1_xxreal_0(k4_xxreal_3(F, k3_funct_2(B, k6_numbers, C, E)), k1_mesfunc6(A, B, C, k2_partfun1(A, k1_numbers, D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_random_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k6_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (! [F] :  (v1_xreal_0(F) =>  ( (r1_mesfunc5(A, B, C, D) &  (r1_tarski(E, k1_relset_1(A, D)) &  (! [G] :  (m1_subset_1(G, A) =>  (r2_tarski(G, E) => r1_xxreal_0(k12_supinf_2(D, G), F)) ) ) ) )  =>  (r1_xxreal_0(k1_xxreal_0, k3_funct_2(B, k6_numbers, C, E)) | r1_xxreal_0(k7_mesfunc5(A, B, C, k2_partfun1(A, k6_numbers, D, E)), k4_xxreal_3(F, k3_funct_2(B, k6_numbers, C, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_random_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v10_valued_0(C) &  (v6_supinf_2(C) &  (v4_measure1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [E] :  (m2_subset_1(E, k1_zfmisc_1(A), B) =>  (! [F] :  (v1_xreal_0(F) =>  ( (r3_mesfunc6(A, B, C, D) &  (r1_tarski(E, k1_relset_1(A, D)) &  (! [G] :  (m1_subset_1(G, A) =>  (r2_tarski(G, E) => r1_xxreal_0(k12_supinf_2(D, G), F)) ) ) ) )  =>  (r1_xxreal_0(k1_xxreal_0, k3_funct_2(B, k6_numbers, C, E)) | r1_xxreal_0(k1_mesfunc6(A, B, C, k2_partfun1(A, k1_numbers, D, E)), k4_xxreal_3(F, k3_funct_2(B, k6_numbers, C, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_random_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (? [C] :  ( (v1_prob_2(C) & m2_finseq_1(C, k1_random_1(A)))  &  (? [D] :  (m2_finseq_1(D, k1_relset_1(A, B)) &  (k1_relset_1(A, B)=k3_tarski(k2_relset_1(k1_random_1(A), C)) &  (k4_finseq_1(C)=k4_finseq_1(D) &  (v2_funct_1(D) &  (k2_relset_1(k1_relset_1(A, B), D)=k1_relset_1(A, B) &  (k3_finseq_1(D)=k4_card_1(k1_relset_1(A, B)) &  ( (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(C)) => k1_funct_1(C, E)=k1_tarski(k1_funct_1(D, E))) ) )  &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) =>  ( (r2_tarski(E, k4_finseq_1(C)) &  (r2_tarski(F, k1_funct_1(C, E)) & r2_tarski(G, k1_funct_1(C, E))) )  => k12_supinf_2(B, F)=k12_supinf_2(B, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_random_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (r2_mesfunc6(A, k1_random_1(A), B) & m2_subset_1(k1_relset_1(A, B), k1_zfmisc_1(A), k1_random_1(A))) ) ) ) ) ).
fof(t7_random_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_random_1(A), k6_numbers) &  (v10_valued_0(B) &  (v6_supinf_2(B) &  (v4_measure1(B, A, k1_random_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_random_1(A), k6_numbers)))) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ~ ( ( ~ (k1_relset_1(A, C)=k1_xboole_0)  &  ( ~ (r1_xxreal_0(k1_xxreal_0, k3_funct_2(k1_zfmisc_1(A), k6_numbers, B, k1_relset_1(A, C))))  &  ~ (r3_mesfunc6(A, k1_random_1(A), B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t8_random_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (? [C] :  (m2_subset_1(C, k1_zfmisc_1(A), k1_random_1(A)) &  (k1_relset_1(A, B)=C & r1_mesfunc6(A, k1_random_1(A), B, C)) ) ) ) ) ) ) ).
fof(t9_random_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_random_1(A), k6_numbers) &  (v10_valued_0(B) &  (v6_supinf_2(B) &  (v4_measure1(B, A, k1_random_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_random_1(A), k6_numbers)))) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [D] :  (m2_finseq_1(D, k6_numbers) =>  (! [E] :  (m2_finseq_1(E, A) =>  ~ ( (v2_funct_1(E) &  (k2_relset_1(A, E)=A &  (! [F] :  ( (v1_prob_2(F) & m2_finseq_1(F, k1_random_1(A)))  =>  (! [G] :  (m2_finseq_1(G, k1_numbers) =>  ~ ( (k1_relset_1(A, C)=k3_tarski(k2_relset_1(k1_random_1(A), F)) &  (k4_finseq_1(G)=k4_finseq_1(E) &  (k4_finseq_1(F)=k4_finseq_1(E) &  ( (! [H] :  (v7_ordinal1(H) =>  (r2_tarski(H, k4_finseq_1(F)) => k1_funct_1(F, H)=k1_tarski(k1_funct_1(E, H))) ) )  &  (! [H] :  (v7_ordinal1(H) =>  (! [I] :  (m1_subset_1(I, A) =>  (! [J] :  (m1_subset_1(J, A) =>  ( (r2_tarski(H, k4_finseq_1(F)) &  (r2_tarski(I, k1_funct_1(F, H)) & r2_tarski(J, k1_funct_1(F, H))) )  => k3_funct_2(A, k1_numbers, C, I)=k3_funct_2(A, k1_numbers, C, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_random_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_random_1(A), k6_numbers) &  (v10_valued_0(B) &  (v6_supinf_2(B) &  (v4_measure1(B, A, k1_random_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_random_1(A), k6_numbers)))) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [D] :  (m2_finseq_1(D, k6_numbers) =>  (! [E] :  (m2_finseq_1(E, A) =>  ( (k3_finseq_1(D)=k4_card_1(A) &  (v2_funct_1(E) &  (k2_relset_1(A, E)=A &  (k3_finseq_1(E)=k4_card_1(A) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k4_finseq_1(D)) => k12_supinf_2(D, F)=k4_xxreal_3(k12_supinf_2(C, k1_funct_1(E, F)), k12_supinf_2(B, k1_tarski(k1_funct_1(E, F))))) ) ) ) ) ) )  =>  (r1_xxreal_0(k1_xxreal_0, k12_supinf_2(B, A)) | k1_mesfunc6(A, k1_random_1(A), B, C)=k4_extreal1(D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_random_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_random_1(A), k6_numbers) &  (v10_valued_0(B) &  (v6_supinf_2(B) &  (v4_measure1(B, A, k1_random_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_random_1(A), k6_numbers)))) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  ~ ( ( ~ (r1_xxreal_0(k1_xxreal_0, k12_supinf_2(B, A)))  &  (! [D] :  (m2_finseq_1(D, k6_numbers) =>  (! [E] :  (m2_finseq_1(E, A) =>  ~ ( (k3_finseq_1(D)=k4_card_1(A) &  (v2_funct_1(E) &  (k2_relset_1(A, E)=A &  (k3_finseq_1(E)=k4_card_1(A) &  ( (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k4_finseq_1(D)) => k12_supinf_2(D, F)=k4_xxreal_3(k12_supinf_2(C, k1_funct_1(E, F)), k12_supinf_2(B, k1_tarski(k1_funct_1(E, F))))) ) )  & k1_mesfunc6(A, k1_random_1(A), B, C)=k4_extreal1(D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_random_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m2_prob_1(B, A, k1_random_1(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  (! [E] :  (m2_finseq_1(E, A) =>  ( (k3_finseq_1(D)=k4_card_1(A) &  (v2_funct_1(E) &  (k2_relset_1(A, E)=A &  (k3_finseq_1(E)=k4_card_1(A) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k4_finseq_1(D)) => k12_supinf_2(D, F)=k1_extreal1(k12_supinf_2(C, k1_funct_1(E, F)), k12_supinf_2(B, k1_tarski(k1_funct_1(E, F))))) ) ) ) ) ) )  => k1_mesfunc6(A, k1_random_1(A), k2_prob_4(A, k1_random_1(A), B), C)=k18_rvsum_1(D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_random_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m2_prob_1(B, A, k1_random_1(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (? [D] :  (m2_finseq_1(D, k1_numbers) &  (? [E] :  (m2_finseq_1(E, A) &  (k3_finseq_1(D)=k4_card_1(A) &  (v2_funct_1(E) &  (k2_relset_1(A, E)=A &  (k3_finseq_1(E)=k4_card_1(A) &  ( (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k4_finseq_1(D)) => k12_supinf_2(D, F)=k1_extreal1(k12_supinf_2(C, k1_funct_1(E, F)), k12_supinf_2(B, k1_tarski(k1_funct_1(E, F))))) ) )  & k1_mesfunc6(A, k1_random_1(A), k2_prob_4(A, k1_random_1(A), B), C)=k18_rvsum_1(D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_random_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  ~ ( (v2_prob_1(B) &  (! [C] :  (v7_ordinal1(C) =>  (? [D] :  (v7_ordinal1(D) &  (r1_xxreal_0(C, D) &  ~ (k8_nat_1(k9_setfam_1(A), B, C)=k8_nat_1(k9_setfam_1(A), B, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_random_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  ~ ( (v2_prob_1(B) &  (! [C] :  (v7_ordinal1(C) =>  (? [D] :  (v7_ordinal1(D) &  (r1_xxreal_0(C, D) &  ~ (k3_prob_1(A, B)=k8_nat_1(k9_setfam_1(A), B, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_random_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  ~ ( (v3_prob_1(B) &  (! [C] :  (v7_ordinal1(C) =>  (? [D] :  (v7_ordinal1(D) &  (r1_xxreal_0(C, D) &  ~ (k8_nat_1(k9_setfam_1(A), B, C)=k8_nat_1(k9_setfam_1(A), B, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_random_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  ~ ( (v3_prob_1(B) &  (! [C] :  (v7_ordinal1(C) =>  (? [D] :  (v7_ordinal1(D) &  (r1_xxreal_0(C, D) &  ~ (k1_prob_1(A, B)=k8_nat_1(k9_setfam_1(A), B, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_random_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m2_prob_1(B, A, k1_random_1(A)) =>  (B=k2_random_1(A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k3_funct_2(k1_zfmisc_1(A), k1_numbers, B, C)=k1_rpr_1(A, C)) ) ) ) ) ) ) ).
fof(d2_random_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (m1_random_1(C, A, B) <=> r1_mesfunc6(A, B, C, k4_prob_1(A, B))) ) ) ) ) ) ) ).
fof(t18_random_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_random_1(C, A, B) =>  (! [D] :  (m1_random_1(D, A, B) => m1_random_1(k3_valued_1(A, k1_numbers, k1_numbers, C, D), A, B)) ) ) ) ) ) ) ) ).
fof(t19_random_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_random_1(C, A, B) =>  (! [D] :  (m1_random_1(D, A, B) => m1_random_1(k47_valued_1(A, k1_numbers, k1_numbers, C, D), A, B)) ) ) ) ) ) ) ) ).
fof(t20_random_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_random_1(C, A, B) =>  (! [D] :  (v1_xreal_0(D) => m1_random_1(k26_valued_1(A, k1_numbers, C, D), A, B)) ) ) ) ) ) ) ) ).
fof(t21_random_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  => r2_relset_1(A, k6_numbers, k5_mesfunc1(A, k1_mesfunc5(A, B), k1_mesfunc5(A, C)), k1_mesfunc5(A, k20_valued_1(A, k1_numbers, k1_numbers, B, C)))) ) ) ) ) ) ).
fof(t22_random_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_random_1(C, A, B) =>  (! [D] :  (m1_random_1(D, A, B) => m1_random_1(k20_valued_1(A, k1_numbers, k1_numbers, C, D), A, B)) ) ) ) ) ) ) ) ).
fof(t23_random_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_random_1(C, A, B) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(k5_numbers, D) & v6_supinf_2(C))  => m1_random_1(k2_mesfun6c(D, A, C), A, B)) ) ) ) ) ) ) ) ) ).
fof(t24_random_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_random_1(C, A, B) => m1_random_1(k56_valued_1(A, k1_numbers, C), A, B)) ) ) ) ) ) ).
fof(t25_random_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_random_1(C, A, B) =>  (! [D] :  (v1_xreal_0(D) =>  (r1_xxreal_0(k5_numbers, D) => m1_random_1(k2_mesfun6c(D, A, k7_random_1(A, B, C)), A, B)) ) ) ) ) ) ) ) ) ).
fof(d3_random_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m1_random_1(C, A, B) =>  (! [D] :  (m2_prob_1(D, A, B) =>  (r1_random_1(A, B, C, D) <=> r3_mesfunc6(A, B, k2_prob_4(A, B, D), C)) ) ) ) ) ) ) ) ) ).
fof(d4_random_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (m1_random_1(D, A, B) =>  (r1_random_1(A, B, D, C) => k8_random_1(A, B, C, D)=k1_mesfunc6(A, B, k2_prob_4(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t26_random_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (m1_random_1(D, A, B) =>  (! [E] :  (m1_random_1(E, A, B) =>  ( (r1_random_1(A, B, D, C) & r1_random_1(A, B, E, C))  => k8_random_1(A, B, C, k3_random_1(A, B, D, E))=k2_xcmplx_0(k8_random_1(A, B, C, D), k8_random_1(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_random_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (m1_random_1(D, A, B) =>  (! [E] :  (v1_xreal_0(E) =>  (r1_random_1(A, B, D, C) => k8_random_1(A, B, C, k5_random_1(A, B, D, E))=k3_xcmplx_0(E, k8_random_1(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_random_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (m1_random_1(D, A, B) =>  (! [E] :  (m1_random_1(E, A, B) =>  ( (r1_random_1(A, B, D, C) & r1_random_1(A, B, E, C))  => k8_random_1(A, B, C, k4_random_1(A, B, D, E))=k6_xcmplx_0(k8_random_1(A, B, C, D), k8_random_1(A, B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_random_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  => m1_random_1(B, A, k1_random_1(A))) ) ) ) ).
fof(t30_random_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m2_prob_1(B, A, k1_random_1(A)) =>  (! [C] :  (m1_random_1(C, A, k1_random_1(A)) => r1_random_1(A, k1_random_1(A), C, B)) ) ) ) ) ) ).
fof(t31_random_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m2_prob_1(B, A, k1_random_1(A)) =>  (! [C] :  (m1_random_1(C, A, k1_random_1(A)) =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  (! [E] :  (m2_finseq_1(E, A) =>  ( (k3_finseq_1(D)=k4_card_1(A) &  (v2_funct_1(E) &  (k2_relset_1(A, E)=A &  (k3_finseq_1(E)=k4_card_1(A) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k4_finseq_1(D)) => k12_supinf_2(D, F)=k1_extreal1(k12_supinf_2(C, k1_funct_1(E, F)), k12_supinf_2(B, k1_tarski(k1_funct_1(E, F))))) ) ) ) ) ) )  => k8_random_1(A, k1_random_1(A), B, C)=k18_rvsum_1(D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_random_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m2_prob_1(B, A, k1_random_1(A)) =>  (! [C] :  (m1_random_1(C, A, k1_random_1(A)) =>  (? [D] :  (m2_finseq_1(D, k1_numbers) &  (? [E] :  (m2_finseq_1(E, A) &  (k3_finseq_1(D)=k4_card_1(A) &  (v2_funct_1(E) &  (k2_relset_1(A, E)=A &  (k3_finseq_1(E)=k4_card_1(A) &  ( (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k4_finseq_1(D)) => k12_supinf_2(D, F)=k1_extreal1(k12_supinf_2(C, k1_funct_1(E, F)), k12_supinf_2(B, k1_tarski(k1_funct_1(E, F))))) ) )  & k8_random_1(A, k1_random_1(A), B, C)=k18_rvsum_1(D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_random_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m2_prob_1(B, A, k1_random_1(A)) =>  (! [C] :  (m1_random_1(C, A, k1_random_1(A)) =>  (? [D] :  (m2_finseq_1(D, k1_numbers) &  (? [E] :  (m2_finseq_1(E, A) &  (k3_finseq_1(D)=k4_card_1(A) &  (v2_funct_1(E) &  (k2_relset_1(A, E)=A &  (k3_finseq_1(E)=k4_card_1(A) &  ( (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k4_finseq_1(D)) => k12_supinf_2(D, F)=k1_extreal1(k12_supinf_2(C, k1_funct_1(E, F)), k12_supinf_2(B, k1_tarski(k1_funct_1(E, F))))) ) )  & k8_random_1(A, k1_random_1(A), B, C)=k18_rvsum_1(D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_random_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m1_random_1(B, A, k1_random_1(A)) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  (! [D] :  (m2_finseq_1(D, A) =>  ( (k3_finseq_1(C)=k4_card_1(A) &  (v2_funct_1(D) &  (k2_relset_1(A, D)=A &  (k3_finseq_1(D)=k4_card_1(A) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(C)) => k12_supinf_2(C, E)=k12_supinf_2(B, k1_funct_1(D, E))) ) ) ) ) ) )  => k8_random_1(A, k1_random_1(A), k2_random_1(A), B)=k2_extreal1(k18_rvsum_1(C), k4_card_1(A))) ) ) ) ) ) ) ) ) ).
fof(t35_random_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m1_random_1(B, A, k1_random_1(A)) =>  (? [C] :  (m2_finseq_1(C, k1_numbers) &  (? [D] :  (m2_finseq_1(D, A) &  (k3_finseq_1(C)=k4_card_1(A) &  (v2_funct_1(D) &  (k2_relset_1(A, D)=A &  (k3_finseq_1(D)=k4_card_1(A) &  ( (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(C)) => k12_supinf_2(C, E)=k12_supinf_2(B, k1_funct_1(D, E))) ) )  & k8_random_1(A, k1_random_1(A), k2_random_1(A), B)=k2_extreal1(k18_rvsum_1(C), k4_card_1(A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_random_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v1_xboole_0(k1_random_1(A)))  &  (v1_prob_1(k1_random_1(A), A) &  (v4_prob_1(k1_random_1(A), A) & m1_subset_1(k1_random_1(A), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ) ) ).
fof(redefinition_k1_random_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k1_random_1(A)=k1_zfmisc_1(A)) ) ).
fof(dt_k2_random_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  => m2_prob_1(k2_random_1(A), A, k1_random_1(A))) ) ).
fof(dt_m1_random_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) )  =>  (! [C] :  (m1_random_1(C, A, B) =>  (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ) ).
fof(existence_m1_random_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) )  =>  (? [C] : m1_random_1(C, A, B)) ) ) ).
fof(dt_k3_random_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m1_random_1(C, A, B) & m1_random_1(D, A, B)) ) )  => m1_random_1(k3_random_1(A, B, C, D), A, B)) ) ).
fof(commutativity_k3_random_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m1_random_1(C, A, B) & m1_random_1(D, A, B)) ) )  => k3_random_1(A, B, C, D)=k3_random_1(A, B, D, C)) ) ).
fof(redefinition_k3_random_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m1_random_1(C, A, B) & m1_random_1(D, A, B)) ) )  => k3_random_1(A, B, C, D)=k1_valued_1(C, D)) ) ).
fof(dt_k4_random_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m1_random_1(C, A, B) & m1_random_1(D, A, B)) ) )  => m1_random_1(k4_random_1(A, B, C, D), A, B)) ) ).
fof(redefinition_k4_random_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m1_random_1(C, A, B) & m1_random_1(D, A, B)) ) )  => k4_random_1(A, B, C, D)=k45_valued_1(C, D)) ) ).
fof(dt_k5_random_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m1_random_1(C, A, B) & v1_xreal_0(D)) ) )  => m1_random_1(k5_random_1(A, B, C, D), A, B)) ) ).
fof(redefinition_k5_random_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m1_random_1(C, A, B) & v1_xreal_0(D)) ) )  => k5_random_1(A, B, C, D)=k24_valued_1(C, D)) ) ).
fof(dt_k6_random_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m1_random_1(C, A, B) & m1_random_1(D, A, B)) ) )  => m1_random_1(k6_random_1(A, B, C, D), A, B)) ) ).
fof(commutativity_k6_random_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m1_random_1(C, A, B) & m1_random_1(D, A, B)) ) )  => k6_random_1(A, B, C, D)=k6_random_1(A, B, D, C)) ) ).
fof(redefinition_k6_random_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m1_random_1(C, A, B) & m1_random_1(D, A, B)) ) )  => k6_random_1(A, B, C, D)=k18_valued_1(C, D)) ) ).
fof(dt_k7_random_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  & m1_random_1(C, A, B)) )  => m1_random_1(k7_random_1(A, B, C), A, B)) ) ).
fof(projectivity_k7_random_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  & m1_random_1(C, A, B)) )  => k7_random_1(A, B, k7_random_1(A, B, C))=k7_random_1(A, B, C)) ) ).
fof(redefinition_k7_random_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  & m1_random_1(C, A, B)) )  => k7_random_1(A, B, C)=k54_valued_1(C)) ) ).
fof(dt_k8_random_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m2_prob_1(C, A, B) & m1_random_1(D, A, B)) ) )  => v1_xreal_0(k8_random_1(A, B, C, D))) ) ).
fof(t36_random_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  (m2_prob_1(D, A, C) =>  (! [E] :  (m1_random_1(E, A, C) =>  ( (v6_supinf_2(E) & r1_random_1(A, C, E, D))  =>  (r1_xxreal_0(B, k5_numbers) | r1_xxreal_0(k12_supinf_2(D, a_4_0_random_1(A, B, C, E)), k2_extreal1(k8_random_1(A, C, D, E), B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_random_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  (v1_xreal_0(C) &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  & m1_random_1(E, B, D)) ) )  =>  (r2_hidden(A, a_4_0_random_1(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, B) &  (A=F & r1_xxreal_0(C, k3_funct_2(B, k1_numbers, E, F))) ) ) ) ) ) ).
fof(rc1_random_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) )  =>  (? [C] :  (m1_random_1(C, A, B) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, k1_numbers) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v1_partfun1(C, A) &  (v1_funct_2(C, A, k1_numbers) &  (v1_valued_0(C) &  (v2_valued_0(C) &  (v3_valued_0(C) & v6_supinf_2(C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_random_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  & m1_random_1(C, A, B)) )  =>  (v1_relat_1(k54_valued_1(C)) &  (v1_funct_1(k54_valued_1(C)) &  (v3_valued_0(k54_valued_1(C)) & v6_supinf_2(k54_valued_1(C))) ) ) ) ) ).
fof(fc2_random_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) )  =>  ( ~ (v1_xboole_0(k3_random_2(A, B)))  &  (v3_c0sp1(k3_random_2(A, B), k12_funcsdom(A)) & v4_c0sp1(k3_random_2(A, B), k12_funcsdom(A))) ) ) ) ).
fof(fc3_random_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) )  =>  ( ~ (v2_struct_0(k4_random_2(A, B)))  &  (v13_algstr_0(k4_random_2(A, B)) &  (v2_rlvect_1(k4_random_2(A, B)) &  (v3_rlvect_1(k4_random_2(A, B)) &  (v4_rlvect_1(k4_random_2(A, B)) &  (v5_rlvect_1(k4_random_2(A, B)) &  (v6_rlvect_1(k4_random_2(A, B)) &  (v7_rlvect_1(k4_random_2(A, B)) &  (v8_rlvect_1(k4_random_2(A, B)) &  (v1_vectsp_1(k4_random_2(A, B)) &  (v3_vectsp_1(k4_random_2(A, B)) &  (v3_group_1(k4_random_2(A, B)) &  (v5_group_1(k4_random_2(A, B)) & v2_funcsdom(k4_random_2(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_random_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k9_xtuple_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k9_xtuple_0(A))) =>  (r1_xboole_0(B, C) => r1_xboole_0(k10_xtuple_0(k5_relat_1(A, B)), k10_xtuple_0(k5_relat_1(A, C)))) ) ) ) ) ) ) ).
fof(t2_random_2, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => r1_tarski(k10_xtuple_0(k3_relat_1(B, A)), k10_xtuple_0(k5_relat_1(A, k10_xtuple_0(B))))) ) ) ) ).
fof(t3_random_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k8_funcop_1(k4_ordinal1, A, 1)=k3_mesfunc2(A, A)) ) ).
fof(t4_random_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  => m1_random_1(k7_funcop_1(A, B), A, C)) ) ) ) ) ) ).
fof(t5_random_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (r2_relset_1(A, k1_numbers, k2_mesfun6c(2, A, B), k2_mesfun6c(2, A, k32_valued_1(A, k1_numbers, B))) & r2_relset_1(A, k1_numbers, k2_mesfun6c(2, A, B), k2_mesfun6c(2, A, k56_valued_1(A, k1_numbers, B)))) ) ) ) ) ).
fof(t6_random_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (r2_relset_1(A, k1_numbers, k2_mesfun6c(2, A, k3_valued_1(A, k1_numbers, k1_numbers, B, C)), k3_valued_1(A, k1_numbers, k1_numbers, k3_valued_1(A, k1_numbers, k1_numbers, k2_mesfun6c(2, A, B), k26_valued_1(A, k1_numbers, k20_valued_1(A, k1_numbers, k1_numbers, B, C), 2)), k2_mesfun6c(2, A, C))) & r2_relset_1(A, k1_numbers, k2_mesfun6c(2, A, k47_valued_1(A, k1_numbers, k1_numbers, B, C)), k3_valued_1(A, k1_numbers, k1_numbers, k47_valued_1(A, k1_numbers, k1_numbers, k2_mesfun6c(2, A, B), k26_valued_1(A, k1_numbers, k20_valued_1(A, k1_numbers, k1_numbers, B, C), 2)), k2_mesfun6c(2, A, C)))) ) ) ) ) ) ) ).
fof(d1_random_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (m1_random_1(D, A, B) =>  ( (r1_random_1(A, B, D, C) & r3_mesfunc6(A, B, k2_prob_4(A, B, C), k2_mesfun6c(2, A, k7_random_1(A, B, D))))  =>  (! [E] :  (v1_xreal_0(E) =>  (E=k1_random_2(A, B, C, D) <=>  (? [F] :  (m1_random_1(F, A, B) &  (? [G] :  (m1_random_1(G, A, B) &  (r1_funct_2(A, k1_numbers, A, k1_tarski(k8_random_1(A, B, C, D)), G, k7_funcop_1(A, k8_random_1(A, B, C, D))) &  (r2_funct_2(A, k1_numbers, F, k4_random_1(A, B, D, G)) &  (r1_random_1(A, B, F, C) &  (r3_mesfunc6(A, B, k2_prob_4(A, B, C), k2_mesfun6c(2, A, k7_random_1(A, B, F))) & E=k1_mesfunc6(A, B, k2_prob_4(A, B, C), k2_mesfun6c(2, A, k7_random_1(A, B, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_random_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_zfmisc_1(A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A), k1_numbers)))) )  =>  ( ( (! [D] :  (r1_tarski(D, A) =>  (r1_xxreal_0(k5_numbers, k12_supinf_2(C, D)) & r1_xxreal_0(k12_supinf_2(C, D), 1)) ) )  &  (k12_supinf_2(C, A)=1 &  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(A)))  => k12_supinf_2(C, D)=k5_bhsp_5(k1_numbers, A, k9_binop_2, D, B)) ) ) )  => m2_prob_1(C, A, k1_random_1(A))) ) ) ) ) ) ) ).
fof(t9_random_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(A)))  =>  (? [D] :  (m2_finseq_1(D, A) &  (v2_funct_1(D) &  (k2_relset_1(A, D)=C & k5_bhsp_5(k1_numbers, A, k9_binop_2, C, B)=k18_rvsum_1(k4_bhsp_5(k1_numbers, A, B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t10_random_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(A)))  =>  (! [D] :  (m2_finseq_1(D, A) =>  ( (v2_funct_1(D) & k2_relset_1(A, D)=C)  => k5_bhsp_5(k1_numbers, A, k9_binop_2, C, B)=k18_rvsum_1(k4_bhsp_5(k1_numbers, A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t11_random_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) )  =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  &  (v1_finset_1(F) & m1_subset_1(F, k1_zfmisc_1(A))) )  =>  (! [G] :  (m2_finseq_1(G, A) =>  ( (v2_funct_1(G) & k2_relset_1(A, G)=F)  =>  (! [H] :  (m2_finseq_1(H, B) =>  (! [I] :  (m2_finseq_1(I, k2_zfmisc_1(A, B)) =>  (! [J] :  ( ( ~ (v1_xboole_0(J))  &  (v1_finset_1(J) & m1_subset_1(J, k1_zfmisc_1(B))) )  =>  (! [K] :  ( (v1_finset_1(K) & m1_subset_1(K, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  ( (v2_funct_1(H) &  (k2_relset_1(B, H)=J &  (v2_funct_1(I) &  (r2_relset_1(A, B, k2_relset_1(k2_zfmisc_1(A, B), I), K) &  (K=k2_zfmisc_1(F, J) &  (! [L] :  (! [M] :  ( (r2_tarski(L, F) & r2_tarski(M, J))  => k1_binop_1(E, L, M)=k1_extreal1(k12_supinf_2(C, L), k12_supinf_2(D, M))) ) ) ) ) ) ) )  => k18_rvsum_1(k4_bhsp_5(k1_numbers, k2_zfmisc_1(A, B), E, I))=k3_xcmplx_0(k18_rvsum_1(k4_bhsp_5(k1_numbers, A, C, G)), k18_rvsum_1(k4_bhsp_5(k1_numbers, B, D, H)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_random_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) )  =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  &  (v1_finset_1(F) & m1_subset_1(F, k1_zfmisc_1(A))) )  =>  (! [G] :  ( ( ~ (v1_xboole_0(G))  &  (v1_finset_1(G) & m1_subset_1(G, k1_zfmisc_1(B))) )  =>  (! [H] :  ( (v1_finset_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  ( (H=k2_zfmisc_1(F, G) &  (! [I] :  (! [J] :  ( (r2_tarski(I, F) & r2_tarski(J, G))  => k1_binop_1(E, I, J)=k1_extreal1(k12_supinf_2(C, I), k12_supinf_2(D, J))) ) ) )  => k5_bhsp_5(k1_numbers, k2_zfmisc_1(A, B), k9_binop_2, H, E)=k3_xcmplx_0(k5_bhsp_5(k1_numbers, A, k9_binop_2, F, C), k5_bhsp_5(k1_numbers, B, k9_binop_2, G, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_random_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(A)))  =>  ( (! [D] :  (r2_tarski(D, C) => r1_xxreal_0(k5_numbers, k12_supinf_2(B, D))) )  => r1_xxreal_0(k5_numbers, k5_bhsp_5(k1_numbers, A, k9_binop_2, C, B))) ) ) ) ) ) ) ).
fof(t14_random_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(A)))  =>  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(A)))  =>  ( (r1_tarski(C, D) &  (! [E] :  (r2_tarski(E, D) => r1_xxreal_0(k5_numbers, k12_supinf_2(B, E))) ) )  => r1_xxreal_0(k5_bhsp_5(k1_numbers, A, k9_binop_2, C, B), k5_bhsp_5(k1_numbers, A, k9_binop_2, D, B))) ) ) ) ) ) ) ) ) ).
fof(t15_random_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m2_prob_1(B, A, k1_random_1(A)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(A))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (? [E] :  (m2_finseq_1(E, k1_numbers) &  (? [F] :  (m2_finseq_1(F, C) &  (k3_finseq_1(E)=k4_card_1(C) &  (v2_funct_1(F) &  (k2_relset_1(C, F)=C &  (k3_finseq_1(F)=k4_card_1(C) &  ( (! [G] :  (v7_ordinal1(G) =>  (r2_tarski(G, k4_finseq_1(E)) => k12_supinf_2(E, G)=k1_extreal1(k12_supinf_2(D, k1_funct_1(F, G)), k12_supinf_2(B, k1_tarski(k1_funct_1(F, G))))) ) )  & k1_mesfunc6(A, k1_random_1(A), k2_prob_4(A, k1_random_1(A), B), k2_partfun1(A, k1_numbers, D, C))=k18_rvsum_1(E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_random_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  (m2_prob_1(C, A, k1_random_1(A)) =>  (! [D] :  (m2_prob_1(D, B, k1_random_1(B)) =>  (! [E] :  (m2_prob_1(E, k2_zfmisc_1(A, B), k1_random_1(k2_zfmisc_1(A, B))) =>  (E=k2_random_2(A, B, C, D) <=>  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(A, B), k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), k1_numbers)))) )  &  ( (! [G] :  (! [H] :  ( (r2_tarski(G, A) & r2_tarski(H, B))  => k1_binop_1(F, G, H)=k1_extreal1(k12_supinf_2(C, k1_tarski(G)), k12_supinf_2(D, k1_tarski(H)))) ) )  &  (! [G] :  ( (v1_finset_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, B))))  => k12_supinf_2(E, G)=k5_bhsp_5(k1_numbers, k2_zfmisc_1(A, B), k9_binop_2, G, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_random_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  (m2_prob_1(C, A, k1_random_1(A)) =>  (! [D] :  (m2_prob_1(D, B, k1_random_1(B)) =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v1_finset_1(E) & m1_subset_1(E, k1_zfmisc_1(A))) )  =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  &  (v1_finset_1(F) & m1_subset_1(F, k1_zfmisc_1(B))) )  => k12_supinf_2(k2_random_2(A, B, C, D), k2_zfmisc_1(E, F))=k1_extreal1(k12_supinf_2(C, E), k12_supinf_2(D, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_random_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  (m2_prob_1(C, A, k1_random_1(A)) =>  (! [D] :  (m2_prob_1(D, B, k1_random_1(B)) =>  (! [E] :  (! [F] :  ( (r2_tarski(E, A) & r2_tarski(F, B))  => k12_supinf_2(k2_random_2(A, B, C, D), k1_tarski(k4_tarski(E, F)))=k1_extreal1(k12_supinf_2(C, k1_tarski(E)), k12_supinf_2(D, k1_tarski(F)))) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_random_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  => k4_random_2(A, B)=g1_funcsdom(k3_random_2(A, B), k2_c0sp1(k12_funcsdom(A), k3_random_2(A, B)), k1_c0sp1(k12_funcsdom(A), k3_random_2(A, B)), k5_c0sp1(k12_funcsdom(A), k3_random_2(A, B)), k4_c0sp1(k12_funcsdom(A), k3_random_2(A, B)), k3_c0sp1(k12_funcsdom(A), k3_random_2(A, B)))) ) ) ) ).
fof(dt_k1_random_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  (m2_prob_1(C, A, B) & m1_random_1(D, A, B)) ) )  => v1_xreal_0(k1_random_2(A, B, C, D))) ) ).
fof(dt_k2_random_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  &  (m2_prob_1(C, A, k1_random_1(A)) & m2_prob_1(D, B, k1_random_1(B))) ) )  => m2_prob_1(k2_random_2(A, B, C, D), k2_zfmisc_1(A, B), k1_random_1(k2_zfmisc_1(A, B)))) ) ).
fof(dt_k3_random_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) )  =>  ( ~ (v1_xboole_0(k3_random_2(A, B)))  & m1_subset_1(k3_random_2(A, B), k1_zfmisc_1(u1_struct_0(k12_funcsdom(A))))) ) ) ).
fof(dt_k4_random_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) )  =>  ( ~ (v2_struct_0(k4_random_2(A, B)))  &  (v13_algstr_0(k4_random_2(A, B)) &  (v2_rlvect_1(k4_random_2(A, B)) &  (v3_rlvect_1(k4_random_2(A, B)) &  (v4_rlvect_1(k4_random_2(A, B)) &  (v5_rlvect_1(k4_random_2(A, B)) &  (v6_rlvect_1(k4_random_2(A, B)) &  (v7_rlvect_1(k4_random_2(A, B)) &  (v1_vectsp_1(k4_random_2(A, B)) &  (v3_vectsp_1(k4_random_2(A, B)) &  (v3_group_1(k4_random_2(A, B)) &  (v5_group_1(k4_random_2(A, B)) &  (v2_funcsdom(k4_random_2(A, B)) & l1_funcsdom(k4_random_2(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_random_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (m1_random_1(E, A, B) =>  ( (v6_supinf_2(E) &  (r1_random_1(A, B, E, C) & r3_mesfunc6(A, B, k2_prob_4(A, B, C), k2_mesfun6c(2, A, k7_random_1(A, B, E)))) )  =>  (r1_xxreal_0(D, k5_numbers) | r1_xxreal_0(k12_supinf_2(C, a_5_0_random_2(A, B, C, D, E)), k2_extreal1(k1_random_2(A, B, C, E), k2_power(D, 2)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_random_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  => k3_random_2(A, B)=a_2_0_random_2(A, B)) ) ) ) ).
fof(fraenkel_a_5_0_random_2, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  (m2_prob_1(D, B, C) &  (v1_xreal_0(E) & m1_random_1(F, B, C)) ) ) )  =>  (r2_hidden(A, a_5_0_random_2(B, C, D, E, F)) <=>  (? [G] :  (m1_subset_1(G, B) &  (A=G & r1_xxreal_0(E, k9_complex1(k6_xcmplx_0(k12_supinf_2(F, G), k8_random_1(B, C, D, F))))) ) ) ) ) ) ).
fof(fraenkel_a_2_0_random_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) ) )  =>  (r2_hidden(A, a_2_0_random_2(B, C)) <=>  (? [D] :  (m1_random_1(D, B, C) & A=D) ) ) ) ) ).
fof(rc1_random_3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) ) ) ) )  =>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_relat_1(E) &  (v4_relat_1(E, A) &  (v5_relat_1(E, B) &  ( ~ (v1_xboole_0(E))  &  (v1_funct_1(E) &  (v1_partfun1(E, A) &  (v1_funct_2(E, A, B) & v1_random_3(E, A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_random_3, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v2_random_3(A)) ) ) ).
fof(rc3_random_3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) )  =>  (? [C] :  (v1_relat_1(C) &  (v1_funct_1(C) & v3_random_3(C, A, B)) ) ) ) ) ).
fof(rc4_random_3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) )  =>  (? [C] :  (v1_relat_1(C) &  (v1_funct_1(C) & v4_random_3(C, A, B)) ) ) ) ) ).
fof(rc5_random_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) ) ) )  =>  (? [D] :  (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v4_random_3(D, B, C)) ) ) ) ) ) ).
fof(rc6_random_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) ) ) )  =>  (? [D] :  (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) &  (v1_partfun1(D, A) & v4_random_3(D, B, C)) ) ) ) ) ) ) ).
fof(cc1_random_3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v4_random_3(C, A, B)) )  =>  (v1_relat_1(C) &  (v1_funct_1(C) & v3_random_3(C, A, B)) ) ) ) ) ) ).
fof(rc7_random_3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) )  =>  (? [C] :  (v1_relat_1(C) &  (v1_funct_1(C) & v5_random_3(C, A, B)) ) ) ) ) ).
fof(fc1_random_3, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  &  (v1_funct_1(F) &  (v1_funct_2(F, A, B) &  (v1_random_3(F, A, B, C, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ) ) )  =>  (v1_funct_1(k1_random_3(A, B, C, D, E, F)) &  (v1_funct_2(k1_random_3(A, B, C, D, E, F), D, k6_numbers) &  (v10_valued_0(k1_random_3(A, B, C, D, E, F)) &  (v6_supinf_2(k1_random_3(A, B, C, D, E, F)) &  (v2_measure1(k1_random_3(A, B, C, D, E, F), B, D) & v4_measure1(k1_random_3(A, B, C, D, E, F), B, D)) ) ) ) ) ) ) ).
fof(fc2_random_3, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  & v7_ordinal1(B))  =>  ~ (v1_xboole_0(k1_funct_1(A, B))) ) ) ).
fof(rc8_random_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) )  =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_partfun1(B, k4_ordinal1) & v6_random_3(B, A)) ) ) ) ) ) ) ) ).
fof(rc9_random_3, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_partfun1(B, k4_ordinal1) & v6_random_3(B, A)) ) ) ) )  =>  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) &  (v1_partfun1(C, k4_ordinal1) & v7_random_3(C, A, B)) ) ) ) ) ) ) ) ).
fof(fc3_random_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  =>  (v1_relat_1(k5_random_3(A)) &  (v2_relat_1(k5_random_3(A)) &  (v4_relat_1(k5_random_3(A), k4_ordinal1) &  (v1_funct_1(k5_random_3(A)) & v1_partfun1(k5_random_3(A), k4_ordinal1)) ) ) ) ) ) ).
fof(fc4_random_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v2_finset_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  =>  (v1_relat_1(k5_random_3(A)) &  (v4_relat_1(k5_random_3(A), k4_ordinal1) &  (v1_funct_1(k5_random_3(A)) &  (v2_finset_1(k5_random_3(A)) & v1_partfun1(k5_random_3(A), k4_ordinal1)) ) ) ) ) ) ).
fof(t2_random_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  ( (! [F] :  (m1_subset_1(F, k4_ordinal1) => k1_prob_4(A, k9_setfam_1(A), E, F)=k8_relset_1(A, B, C, k1_prob_4(B, k9_setfam_1(B), D, F))) )  => k8_relset_1(A, B, C, k1_prob_1(B, D))=k1_prob_1(A, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_random_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, k9_setfam_1(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k9_setfam_1(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(A))))) )  =>  ( (! [F] :  (m1_subset_1(F, k4_ordinal1) => k1_prob_4(A, k9_setfam_1(A), E, F)=k8_relset_1(A, B, C, k1_prob_4(B, k9_setfam_1(B), D, F))) )  => k8_relset_1(A, B, C, k3_prob_1(B, D))=k3_prob_1(A, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_random_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [D] :  (v1_xreal_0(D) =>  (m1_random_1(C, A, B) => r2_tarski(k8_relset_1(A, k1_numbers, C, k4_xxreal_1(k2_xxreal_0, D)), B)) ) ) ) ) ) ) ) ) ).
fof(t7_random_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (r1_finance1(A, k1_numbers, B, k12_prob_1, C) <=> m1_random_1(C, A, B)) ) ) ) ) ) ) ).
fof(t8_random_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  => k6_finance1(A, k1_numbers, B, k12_prob_1)=k3_random_2(A, B)) ) ) ) ) ) ).
fof(d1_random_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v1_random_3(E, A, B, C, D) <=> r1_finance1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_random_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) &  (v1_random_3(C, A, k1_numbers, B, k12_prob_1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  <=> m1_random_1(C, A, B)) ) ) ) ) ) ) ).
fof(d2_random_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v2_random_3(A) <=>  (! [B] :  ~ ( (r2_tarski(B, k9_xtuple_0(A)) &  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  &  (v1_prob_1(E, C) &  (v4_prob_1(E, C) & m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(C)))) ) )  =>  (! [F] :  ( ( ~ (v1_xboole_0(F))  &  (v1_prob_1(F, D) &  (v4_prob_1(F, D) & m1_subset_1(F, k1_zfmisc_1(k1_zfmisc_1(D)))) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, C, D) &  (v1_random_3(G, C, D, E, F) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(C, D)))) ) )  =>  ~ (k1_funct_1(A, B)=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_random_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (v3_random_3(C, A, B) <=>  (! [D] :  ~ ( (r2_tarski(D, k9_xtuple_0(C)) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, B, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v4_measure1(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, k6_numbers)))) ) ) ) )  =>  ~ (k1_funct_1(C, D)=E) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_random_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (v4_random_3(C, A, B) <=>  (! [D] :  ~ ( (r2_tarski(D, k9_xtuple_0(C)) &  (! [E] :  (m2_prob_1(E, A, B) =>  ~ (k1_funct_1(C, D)=E) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_random_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (v5_random_3(C, A, B) <=>  (! [D] :  ~ ( (r2_tarski(D, k9_xtuple_0(C)) &  (! [E] :  (m1_random_1(E, A, B) =>  ~ (k1_funct_1(C, D)=E) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_random_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v2_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, B) &  (v1_random_3(F, A, B, C, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, D, k6_numbers) &  (v10_valued_0(G) &  (v6_supinf_2(G) &  (v2_measure1(G, B, D) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) )  =>  (G=k1_random_3(A, B, C, D, E, F) <=>  (! [H] :  (m2_subset_1(H, k1_zfmisc_1(B), D) => k12_supinf_2(G, H)=k12_supinf_2(E, k8_relset_1(A, B, F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_random_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  (m2_prob_1(E, A, C) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, B) &  (v1_random_3(F, A, B, C, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  => k12_supinf_2(k1_random_3(A, B, C, D, k2_prob_4(A, C, E), F), B)=1) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_random_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  (m2_prob_1(E, A, C) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, B) &  (v1_random_3(F, A, B, C, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  => k2_random_3(A, B, C, D, E, F)=k3_prob_4(B, D, k1_random_3(A, B, C, D, k2_prob_4(A, C, E), F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_random_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  (m2_prob_1(E, A, C) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, B) &  (v1_random_3(F, A, B, C, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  => r1_funct_2(D, k1_numbers, D, k6_numbers, k2_random_3(A, B, C, D, E, F), k1_random_3(A, B, C, D, k2_prob_4(A, C, E), F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_random_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  (m2_prob_1(E, A, C) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, A, B) &  (v1_random_3(F, A, B, C, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (! [G] :  (r2_tarski(G, D) => k12_supinf_2(k2_random_3(A, B, C, D, E, F), G)=k12_supinf_2(E, k8_relset_1(A, B, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_random_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, A, B) &  (v1_random_3(C, A, B, k1_random_1(A), k1_random_1(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ) ) ) ) ).
fof(t16_random_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, A))  =>  (v1_funct_1(B) &  (v1_funct_2(B, k2_finseq_1(k3_finseq_1(B)), A) &  (v1_random_3(B, k2_finseq_1(k3_finseq_1(B)), A, k1_random_1(k2_finseq_1(k3_finseq_1(B))), k1_random_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k3_finseq_1(B)), A)))) ) ) ) ) ) ) ).
fof(t17_random_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) &  (v1_random_3(C, A, B, k1_random_1(A), k1_random_1(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (! [D] :  (r2_tarski(D, k1_random_1(B)) => k12_supinf_2(k2_random_3(A, B, k1_random_1(A), k1_random_1(B), k2_random_1(A), C), D)=k7_xcmplx_0(k4_card_1(k8_relset_1(A, B, C, D)), k4_card_1(A))) ) ) ) ) ) ) ) ).
fof(t18_random_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, A))  =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_finseq_1(k3_finseq_1(B)), A) &  (v1_random_3(C, k2_finseq_1(k3_finseq_1(B)), A, k1_random_1(k2_finseq_1(k3_finseq_1(B))), k1_random_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k3_finseq_1(B)), A)))) ) )  &  (C=B &  (! [D] :  (r2_tarski(D, A) => k12_supinf_2(k2_random_3(k2_finseq_1(k3_finseq_1(B)), A, k1_random_1(k2_finseq_1(k3_finseq_1(B))), k1_random_1(A), k2_random_1(k2_finseq_1(k3_finseq_1(B))), C), k1_tarski(D))=k3_dist_1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d8_random_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) )  =>  (v6_random_3(B, A) <=>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (v1_xboole_0(k1_funct_1(B, C)))  &  (v1_prob_1(k1_funct_1(B, C), k1_funct_1(A, C)) &  (v4_prob_1(k1_funct_1(B, C), k1_funct_1(A, C)) & m1_subset_1(k1_funct_1(B, C), k1_zfmisc_1(k1_zfmisc_1(k1_funct_1(A, C))))) ) ) ) ) ) ) ) ) ) ).
fof(d9_random_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_partfun1(B, k4_ordinal1) & v6_random_3(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) )  =>  (v7_random_3(C, A, B) <=>  (! [D] :  (v7_ordinal1(D) => m2_prob_1(k1_funct_1(C, D), k1_funct_1(A, D), k3_random_3(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(d10_random_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) )  =>  (B=k5_random_3(A) <=>  (k1_funct_1(B, k5_numbers)=k1_funct_1(A, k5_numbers) &  (! [C] :  (v7_ordinal1(C) => k1_funct_1(B, k1_nat_1(C, 1))=k2_zfmisc_1(k1_funct_1(B, C), k1_funct_1(A, k1_nat_1(C, 1)))) ) ) ) ) ) ) ) ).
fof(t19_random_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) )  =>  (k1_funct_1(k5_random_3(A), k5_numbers)=k1_funct_1(A, k5_numbers) &  (k1_funct_1(k5_random_3(A), 1)=k2_zfmisc_1(k1_funct_1(A, k5_numbers), k1_funct_1(A, 1)) &  (k1_funct_1(k5_random_3(A), 2)=k3_zfmisc_1(k1_funct_1(A, k5_numbers), k1_funct_1(A, 1), k1_funct_1(A, 2)) & k1_funct_1(k5_random_3(A), 3)=k4_zfmisc_1(k1_funct_1(A, k5_numbers), k1_funct_1(A, 1), k1_funct_1(A, 2), k1_funct_1(A, 3))) ) ) ) ) ).
fof(d11_random_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  (m2_prob_1(C, A, B) => k6_random_3(A, B, C)=C) ) ) ) ) ) ).
fof(d12_random_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v2_finset_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_partfun1(B, k4_ordinal1) & v6_random_3(B, A)) ) ) )  =>  (B=k7_random_3(A) <=>  (! [C] :  (v7_ordinal1(C) => k3_random_3(A, B, C)=k1_random_1(k1_funct_1(A, C))) ) ) ) ) ) ) ).
fof(d13_random_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v2_finset_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_partfun1(B, k4_ordinal1) & v7_random_3(B, A, k7_random_3(A))) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) )  =>  (C=k9_random_3(A, B) <=>  (k1_funct_1(C, k5_numbers)=k8_random_3(A, B, k5_numbers) &  (! [D] :  (v7_ordinal1(D) => k1_funct_1(C, k1_nat_1(D, 1))=k2_random_2(k1_funct_1(k5_random_3(A), D), k1_funct_1(A, k1_nat_1(D, 1)), k6_random_3(k1_funct_1(k5_random_3(A), D), k1_random_1(k1_funct_1(k5_random_3(A), D)), k1_funct_1(C, D)), k8_random_3(A, B, k1_nat_1(D, 1)))) ) ) ) ) ) ) ) ) ) ).
fof(t20_random_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v2_finset_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_partfun1(B, k4_ordinal1) & v7_random_3(B, A, k7_random_3(A))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) => m2_prob_1(k1_funct_1(k9_random_3(A, B), C), k1_funct_1(k5_random_3(A), C), k1_random_1(k1_funct_1(k5_random_3(A), C)))) ) ) ) ) ) ).
fof(t21_random_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v2_finset_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_partfun1(B, k4_ordinal1) & v7_random_3(B, A, k7_random_3(A))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (? [D] :  (m2_prob_1(D, k1_funct_1(k5_random_3(A), C), k1_random_1(k1_funct_1(k5_random_3(A), C))) &  (D=k1_funct_1(k9_random_3(A, B), C) & k1_funct_1(k9_random_3(A, B), k1_nat_1(C, 1))=k2_random_2(k1_funct_1(k5_random_3(A), C), k1_funct_1(A, k1_nat_1(C, 1)), D, k8_random_3(A, B, k1_nat_1(C, 1)))) ) ) ) ) ) ) ) ) ).
fof(t22_random_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v2_finset_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_partfun1(B, k4_ordinal1) & v7_random_3(B, A, k7_random_3(A))) ) ) )  =>  (k1_funct_1(k9_random_3(A, B), k5_numbers)=k8_random_3(A, B, k5_numbers) &  (k1_funct_1(k9_random_3(A, B), 1)=k2_random_2(k1_funct_1(A, k5_numbers), k1_funct_1(A, 1), k8_random_3(A, B, k5_numbers), k8_random_3(A, B, 1)) &  ( (? [C] :  (m2_prob_1(C, k2_zfmisc_1(k1_funct_1(A, k5_numbers), k1_funct_1(A, 1)), k1_random_1(k2_zfmisc_1(k1_funct_1(A, k5_numbers), k1_funct_1(A, 1)))) &  (C=k1_funct_1(k9_random_3(A, B), 1) & k1_funct_1(k9_random_3(A, B), 2)=k2_random_2(k2_zfmisc_1(k1_funct_1(A, k5_numbers), k1_funct_1(A, 1)), k1_funct_1(A, 2), C, k8_random_3(A, B, 2))) ) )  &  ( (? [C] :  (m2_prob_1(C, k3_zfmisc_1(k1_funct_1(A, k5_numbers), k1_funct_1(A, 1), k1_funct_1(A, 2)), k1_random_1(k3_zfmisc_1(k1_funct_1(A, k5_numbers), k1_funct_1(A, 1), k1_funct_1(A, 2)))) &  (C=k1_funct_1(k9_random_3(A, B), 2) & k1_funct_1(k9_random_3(A, B), 3)=k2_random_2(k3_zfmisc_1(k1_funct_1(A, k5_numbers), k1_funct_1(A, 1), k1_funct_1(A, 2)), k1_funct_1(A, 3), C, k8_random_3(A, B, 3))) ) )  &  (? [C] :  (m2_prob_1(C, k4_zfmisc_1(k1_funct_1(A, k5_numbers), k1_funct_1(A, 1), k1_funct_1(A, 2), k1_funct_1(A, 3)), k1_random_1(k4_zfmisc_1(k1_funct_1(A, k5_numbers), k1_funct_1(A, 1), k1_funct_1(A, 2), k1_funct_1(A, 3)))) &  (C=k1_funct_1(k9_random_3(A, B), 3) & k1_funct_1(k9_random_3(A, B), 4)=k2_random_2(k4_zfmisc_1(k1_funct_1(A, k5_numbers), k1_funct_1(A, 1), k1_funct_1(A, 2), k1_funct_1(A, 3)), k1_funct_1(A, 4), C, k8_random_3(A, B, 4))) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_random_3, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, C, k6_numbers) &  (v10_valued_0(E) &  (v6_supinf_2(E) &  (v2_measure1(E, A, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k6_numbers)))) ) ) ) )  &  (v1_funct_1(F) &  (v1_funct_2(F, A, B) &  (v1_random_3(F, A, B, C, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ) ) )  =>  (v1_funct_1(k1_random_3(A, B, C, D, E, F)) &  (v1_funct_2(k1_random_3(A, B, C, D, E, F), D, k6_numbers) &  (v10_valued_0(k1_random_3(A, B, C, D, E, F)) &  (v6_supinf_2(k1_random_3(A, B, C, D, E, F)) &  (v2_measure1(k1_random_3(A, B, C, D, E, F), B, D) & m1_subset_1(k1_random_3(A, B, C, D, E, F), k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) ) ) ) ).
fof(dt_k2_random_3, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  (m2_prob_1(E, A, C) &  (v1_funct_1(F) &  (v1_funct_2(F, A, B) &  (v1_random_3(F, A, B, C, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ) ) )  => m2_prob_1(k2_random_3(A, B, C, D, E, F), B, D)) ) ).
fof(dt_k3_random_3, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_partfun1(B, k4_ordinal1) & v6_random_3(B, A)) ) ) )  & v7_ordinal1(C)) )  =>  ( ~ (v1_xboole_0(k3_random_3(A, B, C)))  &  (v1_prob_1(k3_random_3(A, B, C), k1_funct_1(A, C)) &  (v4_prob_1(k3_random_3(A, B, C), k1_funct_1(A, C)) & m1_subset_1(k3_random_3(A, B, C), k1_zfmisc_1(k1_zfmisc_1(k1_funct_1(A, C))))) ) ) ) ) ).
fof(redefinition_k3_random_3, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_partfun1(B, k4_ordinal1) & v6_random_3(B, A)) ) ) )  & v7_ordinal1(C)) )  => k3_random_3(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k4_random_3, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_partfun1(B, k4_ordinal1) & v6_random_3(B, A)) ) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  (v1_partfun1(C, k4_ordinal1) & v7_random_3(C, A, B)) ) ) )  & v7_ordinal1(D)) ) )  => m2_prob_1(k4_random_3(A, B, C, D), k1_funct_1(A, D), k3_random_3(A, B, D))) ) ).
fof(redefinition_k4_random_3, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_partfun1(B, k4_ordinal1) & v6_random_3(B, A)) ) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  (v1_partfun1(C, k4_ordinal1) & v7_random_3(C, A, B)) ) ) )  & v7_ordinal1(D)) ) )  => k4_random_3(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(dt_k5_random_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) )  =>  (v1_relat_1(k5_random_3(A)) &  (v4_relat_1(k5_random_3(A), k4_ordinal1) &  (v1_funct_1(k5_random_3(A)) & v1_partfun1(k5_random_3(A), k4_ordinal1)) ) ) ) ) ).
fof(dt_k6_random_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) )  => m2_prob_1(k6_random_3(A, B, C), A, B)) ) ).
fof(dt_k7_random_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v2_finset_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) ) )  =>  (v1_relat_1(k7_random_3(A)) &  (v4_relat_1(k7_random_3(A), k4_ordinal1) &  (v1_funct_1(k7_random_3(A)) &  (v1_partfun1(k7_random_3(A), k4_ordinal1) & v6_random_3(k7_random_3(A), A)) ) ) ) ) ) ).
fof(dt_k8_random_3, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v2_finset_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_partfun1(B, k4_ordinal1) & v7_random_3(B, A, k7_random_3(A))) ) ) )  & v7_ordinal1(C)) )  => m2_prob_1(k8_random_3(A, B, C), k1_funct_1(A, C), k1_random_1(k1_funct_1(A, C)))) ) ).
fof(redefinition_k8_random_3, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v2_finset_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_partfun1(B, k4_ordinal1) & v7_random_3(B, A, k7_random_3(A))) ) ) )  & v7_ordinal1(C)) )  => k8_random_3(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k9_random_3, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v2_finset_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_partfun1(B, k4_ordinal1) & v7_random_3(B, A, k7_random_3(A))) ) ) ) )  =>  (v1_relat_1(k9_random_3(A, B)) &  (v4_relat_1(k9_random_3(A, B), k4_ordinal1) &  (v1_funct_1(k9_random_3(A, B)) & v1_partfun1(k9_random_3(A, B), k4_ordinal1)) ) ) ) ) ).
fof(t1_random_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => k8_relat_1(B, k3_tarski(A))=k3_tarski(a_2_0_random_3(A, B))) ) ) ) ).
fof(t5_random_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (m1_random_1(C, A, B) =>  ( ~ (v1_xboole_0(a_3_0_random_3(A, B, C)))  &  (v1_prob_1(a_3_0_random_3(A, B, C), k1_numbers) &  (v4_prob_1(a_3_0_random_3(A, B, C), k1_numbers) & m1_subset_1(a_3_0_random_3(A, B, C), k1_zfmisc_1(k1_zfmisc_1(k1_numbers)))) ) ) ) ) ) ) ) ) ) ).
fof(t6_random_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_prob_1(B, A) &  (v4_prob_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (m1_random_1(C, A, B) => a_3_0_random_3(A, B, C)=k12_prob_1) ) ) ) ) ) ) ).
fof(t10_random_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) &  (v1_random_3(E, A, B, C, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (! [F] :  (m2_subset_1(F, k1_zfmisc_1(B), D) =>  ( ~ (F=k1_xboole_0)  => a_6_0_random_3(A, B, C, D, E, F)=k8_relset_1(A, B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_random_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, A) &  (v4_prob_1(C, A) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) &  (v1_random_3(E, A, B, C, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (r1_tarski(a_5_0_random_3(A, B, C, D, E), C) &  ( ~ (v1_xboole_0(a_5_0_random_3(A, B, C, D, E)))  &  (v1_prob_1(a_5_0_random_3(A, B, C, D, E), A) &  (v4_prob_1(a_5_0_random_3(A, B, C, D, E), A) & m1_subset_1(a_5_0_random_3(A, B, C, D, E), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_random_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(C) & v1_funct_1(C)) )  =>  (r2_hidden(A, a_2_0_random_3(B, C)) <=>  (? [D] :  (m1_subset_1(D, B) & A=k8_relat_1(C, D)) ) ) ) ) ).
fof(fraenkel_a_3_0_random_3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  &  (v1_prob_1(C, B) &  (v4_prob_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, B, k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) ) ) )  =>  (r2_hidden(A, a_3_0_random_3(B, C, D)) <=>  (? [E] :  (m2_subset_1(E, k1_zfmisc_1(k1_numbers), k12_prob_1) &  (A=E & m2_subset_1(k8_relset_1(B, k1_numbers, D, E), k1_zfmisc_1(B), C)) ) ) ) ) ) ).
fof(fraenkel_a_6_0_random_3, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( ( ~ (v1_xboole_0(E))  &  (v1_prob_1(E, C) &  (v4_prob_1(E, C) & m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(C)))) ) )  &  ( (v1_funct_1(F) &  (v1_funct_2(F, B, C) &  (v1_random_3(F, B, C, D, E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, C)))) ) )  & m2_subset_1(G, k1_zfmisc_1(C), E)) ) ) ) )  =>  (r2_hidden(A, a_6_0_random_3(B, C, D, E, F, G)) <=>  (? [H] :  (m1_subset_1(H, B) &  (A=H & m1_subset_1(k3_funct_2(B, C, F, H), G)) ) ) ) ) ) ).
fof(fraenkel_a_5_0_random_3, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v4_prob_1(D, B) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( ( ~ (v1_xboole_0(E))  &  (v1_prob_1(E, C) &  (v4_prob_1(E, C) & m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(C)))) ) )  &  (v1_funct_1(F) &  (v1_funct_2(F, B, C) &  (v1_random_3(F, B, C, D, E) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, C)))) ) ) ) ) ) )  =>  (r2_hidden(A, a_5_0_random_3(B, C, D, E, F)) <=>  (? [G] :  (m1_subset_1(G, k1_zfmisc_1(B)) &  (A=G &  (? [H] :  (m2_subset_1(H, k1_zfmisc_1(C), E) & G=k8_relset_1(B, C, F, H)) ) ) ) ) ) ) ) ).
fof(rc1_ranknull, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) &  (v1_finset_1(C) & v2_vectsp_7(C, A, B)) ) ) ) ) ).
fof(rc2_ranknull, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) ) )  =>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))) &  (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v5_relat_1(D, u1_struct_0(C)) &  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(D, B, C) & v1_mod_2(D, A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(rc3_ranknull, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) &  ~ (v1_vectsp_7(C, A, B)) ) ) ) ) ).
fof(fc1_ranknull, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  (m1_vectsp_6(C, A, B) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) )  => v1_finset_1(k7_relat_1(C, D))) ) ).
fof(t1_ranknull, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (v2_funct_1(B) &  (v2_funct_1(k5_relat_1(A, k10_xtuple_0(B))) & r1_tarski(k10_xtuple_0(B), k9_xtuple_0(A))) )  => v2_funct_1(k3_relat_1(B, A))) ) ) ) ) ).
fof(t2_ranknull, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  ( (r1_tarski(B, C) & v2_funct_1(k5_relat_1(A, C)))  => v2_funct_1(k5_relat_1(A, B))) ) ) ) ) ).
fof(t3_ranknull, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( ~ ( ( ~ (r1_xboole_0(B, C))  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(D, B) & r2_tarski(D, C)) ) ) ) ) )  &  ~ ( ( (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (r2_tarski(D, B) & r2_tarski(D, C)) ) )  & r1_xboole_0(B, C)) ) ) ) ) ) ) ) ) ).
fof(t4_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (v1_finset_1(k2_struct_0(B)) => v1_matrlin(B, A)) ) ) ) ) ).
fof(t5_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (k1_card_1(k2_struct_0(B))=1 => k1_vectsp_9(A, B)=k5_numbers) ) ) ) ) ).
fof(t6_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (k1_card_1(k2_struct_0(B))=2 => k1_vectsp_9(A, B)=1) ) ) ) ) ).
fof(t7_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_struct_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (k1_relset_1(u1_struct_0(A), C)=k2_struct_0(A) & r1_tarski(k10_xtuple_0(C), k2_struct_0(B))) ) ) ) ) ) ) ).
fof(t8_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(D, B, C) &  (v1_mod_2(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) => k5_algstr_0(C, k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, E), k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, F))=k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, k5_algstr_0(B, E, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(D, B, C) &  (v1_mod_2(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  => k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, k4_struct_0(B))=k4_struct_0(C)) ) ) ) ) ) ) ) ).
fof(t10_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(D, B, C) &  (v1_mod_2(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (r1_struct_0(k1_ranknull(A, B, C, D), E) <=> k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, E)=k4_struct_0(C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(D, B, C) &  (v1_mod_2(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  (! [E] :  ( (v7_vectsp_1(E, A) & m1_vectsp_4(E, A, C))  =>  (E=k3_ranknull(A, B, C, D) <=> k2_struct_0(E)=k2_ranknull(B, C, D, k2_struct_0(B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(D, B, C) &  (v1_mod_2(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  => r1_struct_0(k1_ranknull(A, B, C, D), k4_struct_0(B))) ) ) ) ) ) ) ) ).
fof(t12_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(D, B, C) &  (v1_mod_2(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) => m1_subset_1(k2_ranknull(B, C, D, E), k1_zfmisc_1(u1_struct_0(k3_ranknull(A, B, C, D))))) ) ) ) ) ) ) ) ) ) ).
fof(t13_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(D, B, C) &  (v1_mod_2(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (r1_struct_0(k3_ranknull(A, B, C, D), E) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) & E=k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(D, B, C) &  (v1_mod_2(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k1_ranknull(A, B, C, D))) => k1_funct_1(D, E)=k4_struct_0(C)) ) ) ) ) ) ) ) ) ) ).
fof(t15_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(D, B, C) &  (v1_mod_2(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  (v2_funct_1(D) => k1_ranknull(A, B, C, D)=k1_vectsp_4(A, B)) ) ) ) ) ) ) ) ) ).
fof(t16_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  => k1_vectsp_9(A, k1_vectsp_4(A, B))=k5_numbers) ) ) ) ).
fof(t17_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(D, B, C) &  (v1_mod_2(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, E)=k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, F) => r1_struct_0(k1_ranknull(A, B, C, D), k5_algstr_0(B, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (r1_struct_0(k1_vectsp_7(A, B, D), k5_algstr_0(B, E, F)) => r1_struct_0(k1_vectsp_7(A, B, k4_subset_1(u1_struct_0(B), D, k6_domain_1(u1_struct_0(B), F))), E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (m1_vectsp_4(B, A, C) => m1_subset_1(D, k1_zfmisc_1(u1_struct_0(C)))) ) ) ) ) ) ) ) ) ).
fof(t20_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (v1_vectsp_7(C, A, B) =>  (v2_vectsp_7(C, A, k1_vectsp_7(A, B, C)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k1_vectsp_7(A, B, C))))) ) ) ) ) ) ) ) ).
fof(t21_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  ~ ( (r1_struct_0(k1_vectsp_7(A, B, C), D) &  ( ~ (r2_tarski(D, C))  & v1_vectsp_7(k4_subset_1(u1_struct_0(B), C, k6_domain_1(u1_struct_0(B), D)), A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(D, B, C) &  (v1_mod_2(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) =>  (! [F] :  ( (v2_vectsp_7(F, A, B) & m1_subset_1(F, k1_zfmisc_1(u1_struct_0(B))))  =>  ( ( (v2_vectsp_7(E, A, k1_ranknull(A, B, C, D)) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k1_ranknull(A, B, C, D)))))  & r1_tarski(E, F))  => v2_funct_1(k2_partfun1(u1_struct_0(B), u1_struct_0(C), D, k7_subset_1(u1_struct_0(B), F, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m2_vectsp_6(D, A, B, C) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => m2_vectsp_6(k14_funct_7(u1_struct_0(B), u1_struct_0(A), D, E, F), A, B, k4_subset_1(u1_struct_0(B), C, k6_domain_1(u1_struct_0(B), E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_ranknull, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k4_ranknull(A, B)=k7_subset_1(u1_struct_0(A), k2_struct_0(A), B)) ) ) ) ).
fof(d4_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_6(C, A, B) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) => k6_ranknull(A, B, C, D)=k1_funct_4(k2_partfun1(u1_struct_0(B), u1_struct_0(A), C, D), k8_funcop_1(u1_struct_0(A), k4_ranknull(B, D), k4_struct_0(A)))) ) ) ) ) ) ) ) ).
fof(t24_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_6(C, A, B) => r1_vectsp_6(A, B, C, k6_ranknull(A, B, C, k1_vectsp_6(A, B, C)))) ) ) ) ) ) ).
fof(t25_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_6(C, A, B) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (r2_tarski(E, D) => k3_funct_2(u1_struct_0(B), u1_struct_0(A), k6_ranknull(A, B, C, D), E)=k3_funct_2(u1_struct_0(B), u1_struct_0(A), C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_6(C, A, B) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  ( ~ (r2_tarski(E, D))  => k3_funct_2(u1_struct_0(B), u1_struct_0(A), k6_ranknull(A, B, C, D), E)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (! [E] :  (m2_vectsp_6(E, A, B, D) =>  (r1_tarski(C, D) => r1_vectsp_6(A, B, E, k5_vectsp_6(A, B, k6_ranknull(A, B, E, C), k6_ranknull(A, B, E, k7_subset_1(u1_struct_0(B), D, C))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_6(C, A, B) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (r1_xboole_0(D, k1_vectsp_6(A, B, C)) => r1_tarski(k5_ranknull(A, B, C, D), k6_domain_1(u1_struct_0(A), k4_struct_0(A)))) ) ) ) ) ) ) ) ) ).
fof(d5_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_vectsp_6(D, A, B) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(E, B, C) &  (v1_mod_2(E, A, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  (! [F] :  (m1_vectsp_6(F, A, C) =>  (F=k8_ranknull(A, B, C, D, E) <=>  (! [G] :  (m1_subset_1(G, u1_struct_0(C)) => k3_funct_2(u1_struct_0(C), u1_struct_0(A), F, G)=k2_rlvect_2(A, k5_ranknull(A, B, D, k7_ranknull(B, C, E, k6_domain_1(u1_struct_0(C), G))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(D, B, C) &  (v1_mod_2(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  (! [E] :  (m1_vectsp_6(E, A, B) => m2_vectsp_6(k8_ranknull(A, B, C, E, D), A, C, k2_ranknull(B, C, D, k1_vectsp_6(A, B, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t30_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(D, B, C) &  (v1_mod_2(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  (! [E] :  (m1_vectsp_6(E, A, B) => r1_tarski(k1_vectsp_6(A, C, k8_ranknull(A, B, C, E, D)), k2_ranknull(B, C, D, k1_vectsp_6(A, B, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t31_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_6(C, A, B) =>  (! [D] :  (m1_vectsp_6(D, A, B) =>  (r1_xboole_0(k1_vectsp_6(A, B, C), k1_vectsp_6(A, B, D)) => k1_vectsp_6(A, B, k5_vectsp_6(A, B, C, D))=k4_subset_1(u1_struct_0(B), k1_vectsp_6(A, B, C), k1_vectsp_6(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t32_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_6(C, A, B) =>  (! [D] :  (m1_vectsp_6(D, A, B) =>  (r1_xboole_0(k1_vectsp_6(A, B, C), k1_vectsp_6(A, B, D)) => k1_vectsp_6(A, B, k8_vectsp_6(A, B, C, D))=k4_subset_1(u1_struct_0(B), k1_vectsp_6(A, B, C), k1_vectsp_6(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t33_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  ( (r1_tarski(C, D) &  (v2_vectsp_7(D, A, B) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) )  => r1_vectsp_5(A, B, k1_vectsp_7(A, B, C), k1_vectsp_7(A, B, k7_subset_1(u1_struct_0(B), D, C)))) ) ) ) ) ) ) ) ) ).
fof(t34_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(D, B, C) &  (v1_mod_2(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) =>  (! [F] :  (m2_vectsp_6(F, A, B, E) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  ~ ( (v2_funct_1(k2_partfun1(u1_struct_0(B), u1_struct_0(C), D, E)) &  (r2_tarski(G, E) &  (! [H] :  (m1_subset_1(H, k1_zfmisc_1(u1_struct_0(B))) =>  ~ ( (r1_xboole_0(H, E) & k7_ranknull(B, C, D, k6_domain_1(u1_struct_0(C), k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, G)))=k4_subset_1(u1_struct_0(B), k6_domain_1(u1_struct_0(B), G), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_vectsp_6(C, A, B) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (r1_xboole_0(D, k1_vectsp_6(A, B, C)) =>  (D=k1_xboole_0 | k5_ranknull(A, B, C, D)=k6_domain_1(u1_struct_0(A), k4_struct_0(A))) ) ) ) ) ) ) ) ) ) ).
fof(t36_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(D, B, C) &  (v1_mod_2(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  (! [E] :  (m1_vectsp_6(E, A, B) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  ~ ( (r2_tarski(F, k1_vectsp_6(A, C, k8_ranknull(A, B, C, E, D))) & r1_xboole_0(k7_ranknull(B, C, D, k6_domain_1(u1_struct_0(C), F)), k1_vectsp_6(A, B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(D, B, C) &  (v1_mod_2(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  (! [E] :  (m1_vectsp_6(E, A, B) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( (v2_funct_1(k2_partfun1(u1_struct_0(B), u1_struct_0(C), D, k1_vectsp_6(A, B, E))) & r2_tarski(F, k1_vectsp_6(A, B, E)))  => k3_funct_2(u1_struct_0(C), u1_struct_0(A), k8_ranknull(A, B, C, E, D), k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, F))=k3_funct_2(u1_struct_0(B), u1_struct_0(A), E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(D, B, C) &  (v1_mod_2(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  (! [E] :  (m1_vectsp_6(E, A, B) =>  (! [F] :  (m2_finseq_1(F, u1_struct_0(B)) =>  ( (k10_xtuple_0(F)=k1_vectsp_6(A, B, E) & v2_funct_1(k2_partfun1(u1_struct_0(B), u1_struct_0(C), D, k1_vectsp_6(A, B, E))))  => k4_finseqop(u1_struct_0(B), u1_struct_0(C), k3_vectsp_6(A, B, F, E), D)=k3_vectsp_6(A, C, k4_finseqop(u1_struct_0(B), u1_struct_0(C), F, D), k8_ranknull(A, B, C, E, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(D, B, C) &  (v1_mod_2(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  (! [E] :  (m1_vectsp_6(E, A, B) =>  (v2_funct_1(k2_partfun1(u1_struct_0(B), u1_struct_0(C), D, k1_vectsp_6(A, B, E))) => k2_ranknull(B, C, D, k1_vectsp_6(A, B, E))=k1_vectsp_6(A, C, k8_ranknull(A, B, C, E, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(D, B, C) &  (v1_mod_2(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) =>  (! [F] :  ( (v2_vectsp_7(F, A, B) & m1_subset_1(F, k1_zfmisc_1(u1_struct_0(B))))  =>  (! [G] :  (m2_vectsp_6(G, A, B, k7_subset_1(u1_struct_0(B), F, E)) =>  ( ( (v2_vectsp_7(E, A, k1_ranknull(A, B, C, D)) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k1_ranknull(A, B, C, D)))))  & r1_tarski(E, F))  => k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, k4_vectsp_6(A, B, G))=k4_vectsp_6(A, C, k8_ranknull(A, B, C, G, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  ~ ( ( ~ (v1_vectsp_7(C, A, B))  &  (! [D] :  (m2_vectsp_6(D, A, B, C) =>  ~ ( ( ~ (k1_vectsp_6(A, B, D)=k1_xboole_0)  & k4_vectsp_6(A, B, D)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(E, B, C) &  (v1_mod_2(E, A, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  (! [F] :  (m2_vectsp_6(F, A, C, k2_ranknull(B, C, E, D)) =>  (v2_funct_1(k2_partfun1(u1_struct_0(B), u1_struct_0(C), E, D)) => k9_ranknull(A, B, C, D, E, F)=k1_funct_4(k1_partfun1(u1_struct_0(B), u1_struct_0(C), u1_struct_0(C), u1_struct_0(A), E, F), k8_funcop_1(u1_struct_0(A), k4_ranknull(B, D), k4_struct_0(A)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(D, B, C) &  (v1_mod_2(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) =>  (! [F] :  (m2_vectsp_6(F, A, C, k2_ranknull(B, C, D, E)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  ( (r2_tarski(G, E) & v2_funct_1(k2_partfun1(u1_struct_0(B), u1_struct_0(C), D, E)))  => k3_funct_2(u1_struct_0(B), u1_struct_0(A), k9_ranknull(A, B, C, E, D, F), G)=k3_funct_2(u1_struct_0(C), u1_struct_0(A), F, k3_funct_2(u1_struct_0(B), u1_struct_0(C), D, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(D, B, C) &  (v1_mod_2(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) =>  (! [F] :  (m2_vectsp_6(F, A, C, k2_ranknull(B, C, D, E)) =>  (v2_funct_1(k2_partfun1(u1_struct_0(B), u1_struct_0(C), D, E)) => r1_vectsp_6(A, C, k8_ranknull(A, B, C, k9_ranknull(A, B, C, E, D, F), D), F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(D, B, C) &  (v1_mod_2(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  => k10_ranknull(A, B, C, D)=k1_vectsp_9(A, k3_ranknull(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(d8_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(D, B, C) &  (v1_mod_2(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  => k11_ranknull(A, B, C, D)=k1_vectsp_9(A, k1_ranknull(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t44_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(D, B, C) &  (v1_mod_2(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  => k1_vectsp_9(A, B)=k2_xcmplx_0(k10_ranknull(A, B, C, D), k11_ranknull(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t45_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(D, B, C) &  (v1_mod_2(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  (v2_funct_1(D) => k1_vectsp_9(A, B)=k10_ranknull(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(dt_k1_ranknull, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(D, B, C) &  (v1_mod_2(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) ) ) )  =>  (v7_vectsp_1(k1_ranknull(A, B, C, D), A) & m1_vectsp_4(k1_ranknull(A, B, C, D), A, B)) ) ) ).
fof(dt_k2_ranknull, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_struct_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) )  => m1_subset_1(k2_ranknull(A, B, C, D), k1_zfmisc_1(u1_struct_0(B)))) ) ).
fof(redefinition_k2_ranknull, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_struct_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) )  => k2_ranknull(A, B, C, D)=k7_relat_1(C, D)) ) ).
fof(dt_k3_ranknull, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(D, B, C) &  (v1_mod_2(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) ) ) )  =>  (v7_vectsp_1(k3_ranknull(A, B, C, D), A) & m1_vectsp_4(k3_ranknull(A, B, C, D), A, C)) ) ) ).
fof(dt_k4_ranknull, axiom,  (! [A, B] :  ( (l1_struct_0(A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k4_ranknull(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k5_ranknull, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  (m1_vectsp_6(C, A, B) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) )  => m1_subset_1(k5_ranknull(A, B, C, D), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(redefinition_k5_ranknull, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  (m1_vectsp_6(C, A, B) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) )  => k5_ranknull(A, B, C, D)=k7_relat_1(C, D)) ) ).
fof(dt_k6_ranknull, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  (m1_vectsp_6(C, A, B) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) )  => m2_vectsp_6(k6_ranknull(A, B, C, D), A, B, D)) ) ).
fof(dt_k7_ranknull, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_struct_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) )  => m1_subset_1(k7_ranknull(A, B, C, D), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(redefinition_k7_ranknull, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_struct_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) )  => k7_ranknull(A, B, C, D)=k8_relat_1(C, D)) ) ).
fof(dt_k8_ranknull, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  &  (m1_vectsp_6(D, A, B) &  (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(E, B, C) &  (v1_mod_2(E, A, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) ) ) ) )  => m1_vectsp_6(k8_ranknull(A, B, C, D, E), A, C)) ) ).
fof(dt_k9_ranknull, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) &  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(E, B, C) &  (v1_mod_2(E, A, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  & m2_vectsp_6(F, A, C, k2_ranknull(B, C, E, D))) ) ) ) )  => m2_vectsp_6(k9_ranknull(A, B, C, D, E, F), A, B, D)) ) ).
fof(dt_k10_ranknull, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(D, B, C) &  (v1_mod_2(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) ) ) )  => v7_ordinal1(k10_ranknull(A, B, C, D))) ) ).
fof(dt_k11_ranknull, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) &  (v1_matrlin(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) &  (v1_matrlin(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(D, B, C) &  (v1_mod_2(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) ) ) )  => v7_ordinal1(k11_ranknull(A, B, C, D))) ) ).
fof(d1_ranknull, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v8_vectsp_1(B, A) &  (v9_vectsp_1(B, A) &  (v10_vectsp_1(B, A) &  (v11_vectsp_1(B, A) & l1_vectsp_1(B, A)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) &  (v13_vectsp_1(D, B, C) &  (v1_mod_2(D, A, B, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) )  =>  (! [E] :  ( (v7_vectsp_1(E, A) & m1_vectsp_4(E, A, B))  =>  (E=k1_ranknull(A, B, C, D) <=> k2_struct_0(E)=a_4_0_ranknull(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_ranknull, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, B) &  (v9_vectsp_1(C, B) &  (v10_vectsp_1(C, B) &  (v11_vectsp_1(C, B) & l1_vectsp_1(C, B)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v8_vectsp_1(D, B) &  (v9_vectsp_1(D, B) &  (v10_vectsp_1(D, B) &  (v11_vectsp_1(D, B) & l1_vectsp_1(D, B)) ) ) ) ) ) ) ) )  &  (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(D)) &  (v13_vectsp_1(E, C, D) &  (v1_mod_2(E, B, C, D) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D))))) ) ) ) ) ) )  =>  (r2_hidden(A, a_4_0_ranknull(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(C)) &  (A=F & k3_funct_2(u1_struct_0(C), u1_struct_0(D), E, F)=k4_struct_0(D)) ) ) ) ) ) ).
fof(rc1_rat_1, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) & v1_rat_1(A)) ) ) ) ).
fof(rc2_rat_1, axiom,  (? [A] : v1_rat_1(A)) ).
fof(cc1_rat_1, axiom,  (! [A] :  (v1_rat_1(A) => v1_xreal_0(A)) ) ).
fof(cc2_rat_1, axiom,  (! [A] :  (v1_int_1(A) => v1_rat_1(A)) ) ).
fof(fc1_rat_1, axiom,  (! [A, B] :  ( (v1_rat_1(A) & v1_rat_1(B))  => v1_rat_1(k3_xcmplx_0(A, B))) ) ).
fof(fc2_rat_1, axiom,  (! [A, B] :  ( (v1_rat_1(A) & v1_rat_1(B))  => v1_rat_1(k2_xcmplx_0(A, B))) ) ).
fof(fc3_rat_1, axiom,  (! [A, B] :  ( (v1_rat_1(A) & v1_rat_1(B))  => v1_rat_1(k6_xcmplx_0(A, B))) ) ).
fof(fc4_rat_1, axiom,  (! [A, B] :  ( (v1_rat_1(A) & v1_rat_1(B))  => v1_rat_1(k7_xcmplx_0(A, B))) ) ).
fof(fc5_rat_1, axiom,  (! [A] :  (v1_rat_1(A) =>  (v1_xcmplx_0(k4_xcmplx_0(A)) & v1_rat_1(k4_xcmplx_0(A))) ) ) ).
fof(fc6_rat_1, axiom,  (! [A] :  (v1_rat_1(A) =>  (v1_xcmplx_0(k5_xcmplx_0(A)) & v1_rat_1(k5_xcmplx_0(A))) ) ) ).
fof(fc7_rat_1, axiom,  (! [A] :  (v1_rat_1(A) =>  (v7_ordinal1(k1_rat_1(A)) & v2_xxreal_0(k1_rat_1(A))) ) ) ).
fof(d1_rat_1, axiom,  (! [A] :  (A=k3_numbers <=>  (! [B] :  (r2_hidden(B, A) <=>  (? [C] :  (v1_int_1(C) &  (? [D] :  (v1_int_1(D) & B=k7_xcmplx_0(C, D)) ) ) ) ) ) ) ) ).
fof(d2_rat_1, axiom,  (! [A] :  (v1_rat_1(A) <=> r2_hidden(A, k3_numbers)) ) ).
fof(t1_rat_1, axiom,  (! [A] :  ~ ( (r2_hidden(A, k3_numbers) &  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ~ ( ( ~ (C=k5_numbers)  & A=k7_xcmplx_0(B, C)) ) ) ) ) ) ) ) ) ).
fof(t2_rat_1, axiom,  (! [A] :  ~ ( (v1_rat_1(A) &  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  ~ ( ( ~ (C=k5_numbers)  & A=k7_xcmplx_0(B, C)) ) ) ) ) ) ) ) ) ).
fof(t3_rat_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) => v1_rat_1(k7_xcmplx_0(A, B))) ) ) ) ).
fof(t7_rat_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  (! [C] :  (v1_rat_1(C) =>  ~ ( ( ~ (r1_xxreal_0(C, A))  &  ~ (r1_xxreal_0(B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_rat_1, axiom,  (! [A] :  (v1_rat_1(A) =>  (? [B] :  (v1_int_1(B) &  (? [C] :  (v7_ordinal1(C) &  ( ~ (C=k5_numbers)  & A=k7_xcmplx_0(B, C)) ) ) ) ) ) ) ).
fof(t9_rat_1, axiom,  (! [A] :  (v1_rat_1(A) =>  (? [B] :  (v1_int_1(B) &  (? [C] :  (v7_ordinal1(C) &  ( ~ (C=k5_numbers)  &  (A=k7_xcmplx_0(B, C) &  (! [D] :  (v1_int_1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (A=k7_xcmplx_0(D, E) =>  (E=k5_numbers | r1_xxreal_0(C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_rat_1, axiom,  (! [A] :  (v1_rat_1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (B=k1_rat_1(A) <=>  ( ~ (B=k5_numbers)  &  ( (? [C] :  (v1_int_1(C) & A=k7_xcmplx_0(C, B)) )  &  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (A=k7_xcmplx_0(C, D) =>  (D=k5_numbers | r1_xxreal_0(B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_rat_1, axiom,  (! [A] :  (v1_rat_1(A) => k2_rat_1(A)=k3_xcmplx_0(k1_rat_1(A), A)) ) ).
fof(t10_rat_1, axiom,  (! [A] :  (v1_rat_1(A) =>  ~ (r1_xxreal_0(k1_rat_1(A), k5_numbers)) ) ) ).
fof(t11_rat_1, axiom,  (! [A] :  (v1_rat_1(A) => r1_xxreal_0(1, k1_rat_1(A))) ) ).
fof(t12_rat_1, axiom,  (! [A] :  (v1_rat_1(A) =>  ~ (r1_xxreal_0(k5_xcmplx_0(k1_rat_1(A)), k5_numbers)) ) ) ).
fof(t13_rat_1, axiom,  (! [A] :  (v1_rat_1(A) => r1_xxreal_0(k5_xcmplx_0(k1_rat_1(A)), 1)) ) ).
fof(t14_rat_1, axiom,  (! [A] :  (v1_rat_1(A) =>  (k2_rat_1(A)=k5_numbers <=> A=k5_numbers) ) ) ).
fof(t15_rat_1, axiom,  (! [A] :  (v1_rat_1(A) =>  (A=k7_xcmplx_0(k2_rat_1(A), k1_rat_1(A)) & A=k3_xcmplx_0(k2_rat_1(A), k5_xcmplx_0(k1_rat_1(A)))) ) ) ).
fof(t16_rat_1, axiom,  (! [A] :  (v1_rat_1(A) =>  ( ~ (A=k5_numbers)  => k1_rat_1(A)=k7_xcmplx_0(k2_rat_1(A), A)) ) ) ).
fof(t17_rat_1, axiom,  (! [A] :  (v1_rat_1(A) =>  (v1_int_1(A) =>  (k1_rat_1(A)=1 & k2_rat_1(A)=A) ) ) ) ).
fof(t18_rat_1, axiom,  (! [A] :  (v1_rat_1(A) =>  ( (k2_rat_1(A)=A | k1_rat_1(A)=1)  => v1_int_1(A)) ) ) ).
fof(t19_rat_1, axiom,  (! [A] :  (v1_rat_1(A) =>  (k2_rat_1(A)=A <=> k1_rat_1(A)=1) ) ) ).
fof(t20_rat_1, axiom,  (! [A] :  (v1_rat_1(A) =>  (r1_xxreal_0(k5_numbers, A) =>  ( ( ~ (k2_rat_1(A)=A)  &  ~ (k1_rat_1(A)=1) )  | m1_subset_1(A, k4_ordinal1)) ) ) ) ).
fof(t21_rat_1, axiom,  (! [A] :  (v1_rat_1(A) =>  ( ~ ( ( ~ (r1_xxreal_0(k1_rat_1(A), 1))  & v1_int_1(A)) )  &  ~ ( ( ~ (v1_int_1(A))  & r1_xxreal_0(k1_rat_1(A), 1)) ) ) ) ) ).
fof(t22_rat_1, axiom,  (! [A] :  (v1_rat_1(A) =>  ( ~ ( ( ~ (r1_xxreal_0(1, k5_xcmplx_0(k1_rat_1(A))))  & v1_int_1(A)) )  &  ~ ( ( ~ (v1_int_1(A))  & r1_xxreal_0(1, k5_xcmplx_0(k1_rat_1(A)))) ) ) ) ) ).
fof(t23_rat_1, axiom,  (! [A] :  (v1_rat_1(A) =>  (k2_rat_1(A)=k1_rat_1(A) <=> A=1) ) ) ).
fof(t24_rat_1, axiom,  (! [A] :  (v1_rat_1(A) =>  (k2_rat_1(A)=k4_xcmplx_0(k1_rat_1(A)) <=> A=k4_xcmplx_0(1)) ) ) ).
fof(t25_rat_1, axiom,  (! [A] :  (v1_rat_1(A) =>  (k4_xcmplx_0(k2_rat_1(A))=k1_rat_1(A) <=> A=k4_xcmplx_0(1)) ) ) ).
fof(t26_rat_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_rat_1(B) =>  ( ~ (A=k5_numbers)  => B=k7_xcmplx_0(k3_xcmplx_0(k2_rat_1(B), A), k3_xcmplx_0(k1_rat_1(B), A))) ) ) ) ) ).
fof(t27_rat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_rat_1(C) =>  ~ ( ( ~ (A=k5_numbers)  &  (C=k7_xcmplx_0(B, A) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (B=k3_xcmplx_0(k2_rat_1(C), D) & A=k3_xcmplx_0(k1_rat_1(C), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_rat_1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_rat_1(C) =>  ~ ( (C=k7_xcmplx_0(A, B) &  ( ~ (B=k5_numbers)  &  (! [D] :  (v1_int_1(D) =>  ~ ( (A=k3_xcmplx_0(k2_rat_1(C), D) & B=k3_xcmplx_0(k1_rat_1(C), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_rat_1, axiom,  (! [A] :  (v1_rat_1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( ( ~ (r1_xxreal_0(B, 1))  &  (? [C] :  (v1_int_1(C) &  (? [D] :  (v7_ordinal1(D) &  (k2_rat_1(A)=k3_xcmplx_0(C, B) & k1_rat_1(A)=k3_xcmplx_0(D, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_rat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_rat_1(C) =>  ( (C=k7_xcmplx_0(B, A) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( ( ~ (r1_xxreal_0(D, 1))  &  (? [E] :  (v1_int_1(E) &  (? [F] :  (v7_ordinal1(F) &  (B=k3_xcmplx_0(E, D) & A=k3_xcmplx_0(F, D)) ) ) ) ) ) ) ) ) )  =>  (A=k5_numbers |  (A=k1_rat_1(C) & B=k2_rat_1(C)) ) ) ) ) ) ) ) ) ).
fof(t31_rat_1, axiom,  (! [A] :  (v1_rat_1(A) =>  ( ~ ( ( ~ (r1_xxreal_0(k4_xcmplx_0(1), A))  & r1_xxreal_0(k4_xcmplx_0(k1_rat_1(A)), k2_rat_1(A))) )  &  ~ ( ( ~ (r1_xxreal_0(k4_xcmplx_0(k1_rat_1(A)), k2_rat_1(A)))  & r1_xxreal_0(k4_xcmplx_0(1), A)) ) ) ) ) ).
fof(t32_rat_1, axiom,  (! [A] :  (v1_rat_1(A) =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) <=> r1_xxreal_0(k2_rat_1(A), k4_xcmplx_0(k1_rat_1(A)))) ) ) ).
fof(t33_rat_1, axiom,  (! [A] :  (v1_rat_1(A) =>  ( ~ ( ( ~ (r1_xxreal_0(k4_xcmplx_0(1), A))  & r1_xxreal_0(k4_xcmplx_0(k2_rat_1(A)), k1_rat_1(A))) )  &  ~ ( ( ~ (r1_xxreal_0(k4_xcmplx_0(k2_rat_1(A)), k1_rat_1(A)))  & r1_xxreal_0(k4_xcmplx_0(1), A)) ) ) ) ) ).
fof(t34_rat_1, axiom,  (! [A] :  (v1_rat_1(A) =>  (r1_xxreal_0(A, k4_xcmplx_0(1)) <=> r1_xxreal_0(k1_rat_1(A), k4_xcmplx_0(k2_rat_1(A)))) ) ) ).
fof(t35_rat_1, axiom,  (! [A] :  (v1_rat_1(A) =>  ( ~ ( ( ~ (r1_xxreal_0(1, A))  & r1_xxreal_0(k1_rat_1(A), k2_rat_1(A))) )  &  ~ ( ( ~ (r1_xxreal_0(k1_rat_1(A), k2_rat_1(A)))  & r1_xxreal_0(1, A)) ) ) ) ) ).
fof(t36_rat_1, axiom,  (! [A] :  (v1_rat_1(A) =>  (r1_xxreal_0(A, 1) <=> r1_xxreal_0(k2_rat_1(A), k1_rat_1(A))) ) ) ).
fof(t37_rat_1, axiom,  (! [A] :  (v1_rat_1(A) =>  ( ~ ( ( ~ (r1_xxreal_0(k5_numbers, A))  & r1_xxreal_0(k5_numbers, k2_rat_1(A))) )  &  ~ ( ( ~ (r1_xxreal_0(k5_numbers, k2_rat_1(A)))  & r1_xxreal_0(k5_numbers, A)) ) ) ) ) ).
fof(t38_rat_1, axiom,  (! [A] :  (v1_rat_1(A) =>  (r1_xxreal_0(A, k5_numbers) <=> r1_xxreal_0(k2_rat_1(A), k5_numbers)) ) ) ).
fof(t39_rat_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_rat_1(B) =>  ( ~ ( ( ~ (r1_xxreal_0(B, A))  & r1_xxreal_0(k2_rat_1(B), k3_xcmplx_0(A, k1_rat_1(B)))) )  &  ~ ( ( ~ (r1_xxreal_0(k2_rat_1(B), k3_xcmplx_0(A, k1_rat_1(B))))  & r1_xxreal_0(B, A)) ) ) ) ) ) ) ).
fof(t40_rat_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_rat_1(B) =>  (r1_xxreal_0(A, B) <=> r1_xxreal_0(k3_xcmplx_0(A, k1_rat_1(B)), k2_rat_1(B))) ) ) ) ) ).
fof(t41_rat_1, axiom,  (! [A] :  (v1_rat_1(A) =>  (! [B] :  (v1_rat_1(B) =>  ( (k1_rat_1(A)=k1_rat_1(B) & k2_rat_1(A)=k2_rat_1(B))  => A=B) ) ) ) ) ).
fof(t42_rat_1, axiom,  (! [A] :  (v1_rat_1(A) =>  (! [B] :  (v1_rat_1(B) =>  ( ~ ( ( ~ (r1_xxreal_0(B, A))  & r1_xxreal_0(k3_xcmplx_0(k2_rat_1(B), k1_rat_1(A)), k3_xcmplx_0(k2_rat_1(A), k1_rat_1(B)))) )  &  ~ ( ( ~ (r1_xxreal_0(k3_xcmplx_0(k2_rat_1(B), k1_rat_1(A)), k3_xcmplx_0(k2_rat_1(A), k1_rat_1(B))))  & r1_xxreal_0(B, A)) ) ) ) ) ) ) ).
fof(t43_rat_1, axiom,  (! [A] :  (v1_rat_1(A) =>  (k1_rat_1(k4_xcmplx_0(A))=k1_rat_1(A) & k2_rat_1(k4_xcmplx_0(A))=k4_xcmplx_0(k2_rat_1(A))) ) ) ).
fof(t44_rat_1, axiom,  (! [A] :  (v1_rat_1(A) =>  (! [B] :  (v1_rat_1(B) =>  ( (B=k7_xcmplx_0(1, A) =>  (r1_xxreal_0(A, k5_numbers) |  (k2_rat_1(B)=k1_rat_1(A) & k1_rat_1(B)=k2_rat_1(A)) ) )  &  ( (k2_rat_1(B)=k1_rat_1(A) & k1_rat_1(B)=k2_rat_1(A))  =>  ( ~ (r1_xxreal_0(A, k5_numbers))  & B=k7_xcmplx_0(1, A)) ) ) ) ) ) ) ).
fof(t45_rat_1, axiom,  (! [A] :  (v1_rat_1(A) =>  (! [B] :  (v1_rat_1(B) =>  ( (B=k7_xcmplx_0(1, A) =>  (r1_xxreal_0(k5_numbers, A) |  (k2_rat_1(B)=k4_xcmplx_0(k1_rat_1(A)) & k1_rat_1(B)=k4_xcmplx_0(k2_rat_1(A))) ) )  &  ( (k2_rat_1(B)=k4_xcmplx_0(k1_rat_1(A)) & k1_rat_1(B)=k4_xcmplx_0(k2_rat_1(A)))  =>  ( ~ (r1_xxreal_0(k5_numbers, A))  & B=k7_xcmplx_0(1, A)) ) ) ) ) ) ) ).
fof(dt_k1_rat_1, axiom,  (! [A] :  (v1_rat_1(A) => v7_ordinal1(k1_rat_1(A))) ) ).
fof(dt_k2_rat_1, axiom,  (! [A] :  (v1_rat_1(A) => v1_int_1(k2_rat_1(A))) ) ).
fof(fc1_ratfunc1, axiom,  (! [A, B, C] :  ( ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_vectsp_1(A) &  (v4_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v9_struct_0(B, A))  & m1_subset_1(B, u1_struct_0(A)))  &  ( ~ (v9_struct_0(C, A))  & m1_subset_1(C, u1_struct_0(A))) ) )  =>  ~ (v9_struct_0(k12_algstr_0(A, B, C), A)) ) ) ).
fof(cc1_ratfunc1, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v1_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & v1_vectsp_2(A)) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v30_algstr_0(A) &  (v1_vectsp_1(A) &  (v3_rlvect_1(A) & v4_rlvect_1(A)) ) ) ) ) ) ) ) ).
fof(cc2_ratfunc1, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & v1_vectsp_2(A)) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v31_algstr_0(A) &  (v2_vectsp_1(A) &  (v3_rlvect_1(A) & v4_rlvect_1(A)) ) ) ) ) ) ) ) ).
fof(fc2_ratfunc1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  =>  (v1_int_1(k4_xxreal_0(A, B)) & v1_xxreal_0(k4_xxreal_0(A, B))) ) ) ).
fof(fc3_ratfunc1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  =>  (v1_int_1(k3_xxreal_0(A, B)) & v1_xxreal_0(k3_xxreal_0(A, B))) ) ) ).
fof(rc1_ratfunc1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  ~ (v1_uproots(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_ratfunc1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l2_struct_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & v1_uproots(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc4_ratfunc1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (v1_funct_1(k9_polynom3(A)) &  (v1_funct_2(k9_polynom3(A), k4_ordinal1, u1_struct_0(A)) &  ( ~ (v1_uproots(k9_polynom3(A), A))  & v1_ratfunc1(k9_polynom3(A), A)) ) ) ) ) ).
fof(fc5_ratfunc1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  & l5_algstr_0(A))  =>  (v1_funct_1(k10_polynom3(A)) &  (v1_funct_2(k10_polynom3(A), k4_ordinal1, u1_struct_0(A)) & v1_uproots(k10_polynom3(A), A)) ) ) ) ).
fof(fc6_ratfunc1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l5_algstr_0(A))  =>  (v1_funct_1(k10_polynom3(A)) &  (v1_funct_2(k10_polynom3(A), k4_ordinal1, u1_struct_0(A)) & v1_ratfunc1(k10_polynom3(A), A)) ) ) ) ).
fof(rc3_ratfunc1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  & l5_algstr_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & v1_ratfunc1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc3_ratfunc1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  ~ (v1_uproots(B, A)) ) ) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & v1_ratfunc1(B, A)) ) ) ) ) ) ) ) ).
fof(cc4_ratfunc1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  ~ (v1_ratfunc1(B, A)) ) ) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & v1_uproots(B, A)) ) ) ) ) ) ) ) ).
fof(rc4_ratfunc1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l2_struct_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  ~ (v1_ratfunc1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc7_ratfunc1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v4_vectsp_1(A) & l6_algstr_0(A)) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, k4_ordinal1)) )  =>  (v1_funct_1(k3_hurwitz(A, B, C)) &  (v1_funct_2(k3_hurwitz(A, B, C), k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(k3_hurwitz(A, B, C), A) & v1_uproots(k3_hurwitz(A, B, C), A)) ) ) ) ) ).
fof(fc8_ratfunc1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) )  =>  ( ~ (v2_struct_0(k13_polynom3(A)))  &  ( ~ (v6_struct_0(k13_polynom3(A)))  & v36_algstr_0(k13_polynom3(A))) ) ) ) ).
fof(fc9_ratfunc1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) )  =>  ( ~ (v2_struct_0(k13_polynom3(A)))  &  (v36_algstr_0(k13_polynom3(A)) & v1_vectsp_2(k13_polynom3(A))) ) ) ) ).
fof(fc10_ratfunc1, axiom,  (! [A, B, C] :  ( ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  &  ( ~ (v9_struct_0(C, A))  & m1_subset_1(C, u1_struct_0(A))) ) )  =>  (v1_funct_1(k4_polynom5(A, B, C)) &  (v1_funct_2(k4_polynom5(A, B, C), k4_ordinal1, u1_struct_0(A)) & v1_uproots(k4_polynom5(A, B, C), A)) ) ) ) ).
fof(fc11_ratfunc1, axiom,  (! [A, B, C] :  ( ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) &  (v1_uproots(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ) )  =>  (v1_funct_1(k11_polynom3(A, B, C)) &  (v1_funct_2(k11_polynom3(A, B, C), k4_ordinal1, u1_struct_0(A)) & v1_uproots(k11_polynom3(A, B, C), A)) ) ) ) ).
fof(fc12_ratfunc1, axiom,  (! [A, B] :  ( ( ( ~ (v7_struct_0(A))  & l2_struct_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  =>  (v7_ordinal1(k2_hurwitz(A, B)) & v1_int_1(k2_hurwitz(A, B))) ) ) ).
fof(fc13_ratfunc1, axiom,  (! [A, B] :  ( ( ( ~ (v7_struct_0(A))  & l6_algstr_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  =>  ~ (v9_struct_0(k2_ratfunc1(A, B), A)) ) ) ).
fof(fc14_ratfunc1, axiom,  (! [A, B] :  ( ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k4_polynom5(A, B, k12_algstr_0(A, k5_struct_0(A), k2_ratfunc1(A, B)))) &  (v1_funct_2(k4_polynom5(A, B, k12_algstr_0(A, k5_struct_0(A), k2_ratfunc1(A, B))), k4_ordinal1, u1_struct_0(A)) & v2_ratfunc1(k4_polynom5(A, B, k12_algstr_0(A, k5_struct_0(A), k2_ratfunc1(A, B))), A)) ) ) ) ).
fof(fc15_ratfunc1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k8_polynom5(A, B)) &  (v1_funct_2(k8_polynom5(A, B), k4_ordinal1, u1_struct_0(A)) & v2_ratfunc1(k8_polynom5(A, B), A)) ) ) ) ).
fof(rc5_ratfunc1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l5_algstr_0(A))  =>  (? [B] :  (m1_ratfunc1(B, A) &  ~ (v3_ratfunc1(B, A)) ) ) ) ) ).
fof(cc5_ratfunc1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_group_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_ratfunc1(B, A) =>  (v5_ratfunc1(B, A) => v4_ratfunc1(B, A)) ) ) ) ) ).
fof(fc16_ratfunc1, axiom,  (! [A, B] :  ( ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  & m1_ratfunc1(B, A))  =>  ~ (v9_struct_0(k2_ratfunc1(A, k5_ratfunc1(A, B)), A)) ) ) ).
fof(fc17_ratfunc1, axiom,  (! [A, B] :  ( ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v3_ratfunc1(B, A))  & m1_ratfunc1(B, A)) )  =>  ~ (v3_ratfunc1(k6_ratfunc1(A, B), A)) ) ) ).
fof(fc18_ratfunc1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  => v5_ratfunc1(k7_ratfunc1(A), A)) ) ).
fof(fc19_ratfunc1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  & l5_algstr_0(A))  =>  ~ (v3_ratfunc1(k8_ratfunc1(A), A)) ) ) ).
fof(fc20_ratfunc1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  => v4_ratfunc1(k8_ratfunc1(A), A)) ) ).
fof(rc6_ratfunc1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  (? [B] :  (m1_ratfunc1(B, A) &  ( ~ (v3_ratfunc1(B, A))  & v4_ratfunc1(B, A)) ) ) ) ) ).
fof(fc21_ratfunc1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  ( ~ (v3_ratfunc1(k4_tarski(k3_hurwitz(A, B, 1), k3_hurwitz(A, B, 1)), A))  &  ~ (v4_ratfunc1(k4_tarski(k3_hurwitz(A, B, 1), k3_hurwitz(A, B, 1)), A)) ) ) ) ).
fof(rc7_ratfunc1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (? [B] :  (m1_ratfunc1(B, A) &  ( ~ (v3_ratfunc1(B, A))  &  ~ (v4_ratfunc1(B, A)) ) ) ) ) ) ).
fof(rc8_ratfunc1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  (? [B] :  (m1_ratfunc1(B, A) & v5_ratfunc1(B, A)) ) ) ) ).
fof(fc22_ratfunc1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  & l5_algstr_0(A))  => v3_ratfunc1(k7_ratfunc1(A), A)) ) ).
fof(fc23_ratfunc1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  => v5_ratfunc1(k8_ratfunc1(A), A)) ) ).
fof(fc24_ratfunc1, axiom,  (! [A, B] :  ( ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  & m1_ratfunc1(B, A))  =>  (v4_ratfunc1(k11_ratfunc1(A, B), A) & v5_ratfunc1(k11_ratfunc1(A, B), A)) ) ) ).
fof(fc25_ratfunc1, axiom,  (! [A, B] :  ( ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v3_ratfunc1(B, A))  & m1_ratfunc1(B, A)) )  =>  ~ (v3_ratfunc1(k11_ratfunc1(A, B), A)) ) ) ).
fof(t1_ratfunc1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v1_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  ( (k3_finseq_1(C)=k3_finseq_1(D) &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r2_tarski(E, k4_finseq_1(C)) => k7_partfun1(u1_struct_0(A), D, E)=k6_algstr_0(A, B, k7_partfun1(u1_struct_0(A), C, E))) ) ) )  => k4_rlvect_1(A, D)=k6_algstr_0(A, B, k4_rlvect_1(A, C))) ) ) ) ) ) ) ) ) ).
fof(t2_ratfunc1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v1_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (! [D] :  (m1_subset_1(D, k4_ordinal1) =>  ( (r2_tarski(C, k4_finseq_1(B)) & D=k6_xcmplx_0(C, 1))  => k5_finseq_5(u1_struct_0(A), k1_polynom3(u1_struct_0(A), C, B), k7_partfun1(u1_struct_0(A), B, C), D)=B) ) ) ) ) ) ) ) ) ).
fof(t3_ratfunc1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v1_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r2_tarski(C, k4_finseq_1(B)) => k3_group_4(A, B)=k8_group_1(A, k7_partfun1(u1_struct_0(A), B, C), k3_group_4(A, k1_polynom3(u1_struct_0(A), C, B)))) ) ) ) ) ) ) ).
fof(t4_ratfunc1, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) => k4_xxreal_0(k2_xcmplx_0(A, B), k2_xcmplx_0(A, C))=k2_xcmplx_0(A, k4_xxreal_0(B, C))) ) ) ) ) ) ).
fof(d2_ratfunc1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (v1_ratfunc1(B, A) <=> r1_xxreal_0(k2_hurwitz(A, B), k5_numbers)) ) ) ) ) ).
fof(t5_ratfunc1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v1_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k11_polynom3(A, k4_polynom5(A, B, D), C), k4_polynom5(A, k11_polynom3(A, B, C), D))) ) ) ) ) ) ) ) ).
fof(t6_ratfunc1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v1_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k11_polynom3(A, B, k4_polynom5(A, C, D)), k4_polynom5(A, k11_polynom3(A, B, C), D))) ) ) ) ) ) ) ) ).
fof(t7_ratfunc1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(D, A) &  (v1_uproots(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (r2_funct_2(k4_ordinal1, u1_struct_0(A), k11_polynom3(A, B, D), k11_polynom3(A, C, D)) => r2_funct_2(k4_ordinal1, u1_struct_0(A), B, C)) ) ) ) ) ) ) ) ) ).
fof(t8_ratfunc1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v1_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_group_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (k2_hurwitz(A, B)=k5_numbers =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ (k2_polynom4(A, B, C)=k4_struct_0(A)) ) ) ) ) ) ) ) ).
fof(t9_ratfunc1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k2_polynom4(A, B, C)=k4_struct_0(A) <=> r1_hurwitz(A, B, k3_hurwitz(A, C, 1))) ) ) ) ) ) ) ).
fof(t10_ratfunc1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r1_hurwitz(A, k12_polynom3(A, B, C), k3_hurwitz(A, D, 1)) &  ( ~ (r1_hurwitz(A, B, k3_hurwitz(A, D, 1)))  &  ~ (r1_hurwitz(A, C, k3_hurwitz(A, D, 1))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_ratfunc1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k13_polynom3(A))) =>  ( (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(C, k4_finseq_1(B)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ (k1_funct_1(B, C)=k3_hurwitz(A, D, 1)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ~ ( (C=k3_group_4(k13_polynom3(A), B) & C=k9_polynom3(A)) ) ) ) ) ) ) ) ) ).
fof(t12_ratfunc1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k13_polynom3(A))) =>  ( (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(C, k4_finseq_1(B)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ (k1_funct_1(B, C)=k3_hurwitz(A, D, 1)) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (C=k3_group_4(k13_polynom3(A), B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k2_polynom4(A, C, D)=k4_struct_0(A) <=>  (? [E] :  (v7_ordinal1(E) &  (r2_tarski(E, k4_finseq_1(B)) & k1_funct_1(B, E)=k3_hurwitz(A, D, 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_ratfunc1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_ratfunc1(A, B, C, D) <=>  (r1_polynom5(A, B, D) & r1_polynom5(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(d4_ratfunc1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (r2_ratfunc1(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & r1_ratfunc1(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t13_ratfunc1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_polynom5(A, B, C) => r1_polynom5(A, k5_vfunct_1(k4_ordinal1, A, B), C)) ) ) ) ) ) ) ).
fof(t14_ratfunc1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_ratfunc1(A, B, C, D) => r1_polynom5(A, k8_polynom3(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t15_ratfunc1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_ratfunc1(A, B, C, D) => r1_polynom5(A, k5_vfunct_1(k4_ordinal1, A, k8_polynom3(A, B, C)), D)) ) ) ) ) ) ) ) ) ).
fof(t16_ratfunc1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_ratfunc1(A, B, C, D) => r1_polynom5(A, k8_polynom3(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t17_ratfunc1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ( (r1_hurwitz(A, C, B) & v1_polynom5(B, A))  => r2_ratfunc1(A, B, C)) ) ) ) ) ) ) ).
fof(d6_ratfunc1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => k2_ratfunc1(A, B)=k8_nat_1(u1_struct_0(A), B, k7_nat_d(k1_algseq_1(A, B), 1))) ) ) ) ).
fof(t18_ratfunc1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_ratfunc1(A, k4_polynom5(A, B, C))=k8_group_1(A, C, k2_ratfunc1(A, B))) ) ) ) ) ) ).
fof(d7_ratfunc1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (v2_ratfunc1(B, A) <=> k2_ratfunc1(A, B)=k5_struct_0(A)) ) ) ) ) ).
fof(d8_ratfunc1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l5_algstr_0(A))  =>  (! [B] :  (m1_ratfunc1(B, A) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  &  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(D, A) &  (v1_uproots(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  & B=k4_tarski(C, D)) ) ) ) ) ) ) ) ).
fof(d9_ratfunc1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l5_algstr_0(A))  =>  (! [B] :  (m1_ratfunc1(B, A) =>  (v3_ratfunc1(B, A) <=> r2_funct_2(k4_ordinal1, u1_struct_0(A), k4_ratfunc1(A, B), k9_polynom3(A))) ) ) ) ) ).
fof(t19_ratfunc1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l5_algstr_0(A))  =>  (! [B] :  (m1_ratfunc1(B, A) => B=k3_ratfunc1(A, k4_ratfunc1(A, B), k5_ratfunc1(A, B))) ) ) ) ).
fof(d10_ratfunc1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_group_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_ratfunc1(B, A) =>  (v4_ratfunc1(B, A) <=>  ~ (r2_ratfunc1(A, k4_ratfunc1(A, B), k5_ratfunc1(A, B))) ) ) ) ) ) ).
fof(d11_ratfunc1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_group_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_ratfunc1(B, A) =>  (v5_ratfunc1(B, A) <=>  (v4_ratfunc1(B, A) & v2_ratfunc1(k5_ratfunc1(A, B), A)) ) ) ) ) ) ).
fof(d12_ratfunc1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ratfunc1(B, A) => k6_ratfunc1(A, B)=k3_ratfunc1(A, k4_polynom5(A, k4_ratfunc1(A, B), k12_algstr_0(A, k5_struct_0(A), k2_ratfunc1(A, k5_ratfunc1(A, B)))), k4_polynom5(A, k5_ratfunc1(A, B), k12_algstr_0(A, k5_struct_0(A), k2_ratfunc1(A, k5_ratfunc1(A, B)))))) ) ) ) ).
fof(d13_ratfunc1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  & l5_algstr_0(A))  => k7_ratfunc1(A)=k3_ratfunc1(A, k9_polynom3(A), k10_polynom3(A))) ) ).
fof(d14_ratfunc1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  & l5_algstr_0(A))  => k8_ratfunc1(A)=k3_ratfunc1(A, k10_polynom3(A), k10_polynom3(A))) ) ).
fof(d15_ratfunc1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_ratfunc1(B, A) =>  (! [C] :  (m1_ratfunc1(C, A) => k9_ratfunc1(A, B, C)=k3_ratfunc1(A, k1_normsp_1(A, k11_polynom3(A, k4_ratfunc1(A, B), k5_ratfunc1(A, C)), k11_polynom3(A, k5_ratfunc1(A, B), k4_ratfunc1(A, C))), k11_polynom3(A, k5_ratfunc1(A, B), k5_ratfunc1(A, C)))) ) ) ) ) ) ).
fof(d16_ratfunc1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_ratfunc1(B, A) =>  (! [C] :  (m1_ratfunc1(C, A) => k10_ratfunc1(A, B, C)=k3_ratfunc1(A, k11_polynom3(A, k4_ratfunc1(A, B), k4_ratfunc1(A, C)), k11_polynom3(A, k5_ratfunc1(A, B), k5_ratfunc1(A, C)))) ) ) ) ) ) ).
fof(t20_ratfunc1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ratfunc1(B, A) =>  (! [C] :  ( ( ~ (v9_struct_0(C, A))  & m1_subset_1(C, u1_struct_0(A)))  =>  (v4_ratfunc1(k3_ratfunc1(A, k4_polynom5(A, k4_ratfunc1(A, B), C), k4_polynom5(A, k5_ratfunc1(A, B), C)), A) <=> v4_ratfunc1(B, A)) ) ) ) ) ) ) ).
fof(t21_ratfunc1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ratfunc1(B, A) =>  (? [C] :  (m1_ratfunc1(C, A) &  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(D, A) &  (v1_uproots(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  &  (B=k3_ratfunc1(A, k12_polynom3(A, D, k4_ratfunc1(A, C)), k12_polynom3(A, D, k5_ratfunc1(A, C))) &  (v4_ratfunc1(C, A) &  (? [E] :  (m2_finseq_1(E, u1_struct_0(k13_polynom3(A))) &  (D=k3_group_4(k13_polynom3(A), E) &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  ~ ( (r2_tarski(F, k4_finseq_1(E)) &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( (r1_ratfunc1(A, k4_ratfunc1(A, B), k5_ratfunc1(A, B), G) & k1_funct_1(E, F)=k3_hurwitz(A, G, 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_ratfunc1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ratfunc1(B, A) =>  (! [C] :  (m1_ratfunc1(C, A) =>  ( ( ~ (v3_ratfunc1(B, A))  =>  (C=k11_ratfunc1(A, B) <=>  (? [D] :  (m1_ratfunc1(D, A) &  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(E, A) &  (v1_uproots(E, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  &  (B=k3_ratfunc1(A, k12_polynom3(A, E, k4_ratfunc1(A, D)), k12_polynom3(A, E, k5_ratfunc1(A, D))) &  (v4_ratfunc1(D, A) &  (C=k6_ratfunc1(A, D) &  (? [F] :  (m2_finseq_1(F, u1_struct_0(k13_polynom3(A))) &  (E=k3_group_4(k13_polynom3(A), F) &  (! [G] :  (m1_subset_1(G, k4_ordinal1) =>  ~ ( (r2_tarski(G, k4_finseq_1(F)) &  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ~ ( (r1_ratfunc1(A, k4_ratfunc1(A, B), k5_ratfunc1(A, B), H) & k1_funct_1(F, G)=k3_hurwitz(A, H, 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  (v3_ratfunc1(B, A) =>  (C=k11_ratfunc1(A, B) <=> C=k7_ratfunc1(A)) ) ) ) ) ) ) ) ) ).
fof(t22_ratfunc1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v3_ratfunc1(B, A))  & m1_ratfunc1(B, A))  =>  (! [C] :  (m1_ratfunc1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(D, A) &  (v1_uproots(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  ( (B=k3_ratfunc1(A, k12_polynom3(A, D, k4_ratfunc1(A, C)), k12_polynom3(A, D, k5_ratfunc1(A, C))) & v4_ratfunc1(C, A))  =>  ( (! [E] :  (m2_finseq_1(E, u1_struct_0(k13_polynom3(A))) =>  ~ ( (D=k3_group_4(k13_polynom3(A), E) &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  ~ ( (r2_tarski(F, k4_finseq_1(E)) &  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( (r1_ratfunc1(A, k4_ratfunc1(A, B), k5_ratfunc1(A, B), G) & k1_funct_1(E, F)=k3_hurwitz(A, G, 1)) ) ) ) ) ) ) ) ) ) ) )  | k11_ratfunc1(A, B)=k6_ratfunc1(A, C)) ) ) ) ) ) ) ) ) ) ).
fof(t23_ratfunc1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  => k11_ratfunc1(A, k7_ratfunc1(A))=k7_ratfunc1(A)) ) ).
fof(t24_ratfunc1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  => k11_ratfunc1(A, k8_ratfunc1(A))=k8_ratfunc1(A)) ) ).
fof(t25_ratfunc1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v3_ratfunc1(B, A))  &  (v4_ratfunc1(B, A) & m1_ratfunc1(B, A)) )  => k11_ratfunc1(A, B)=k6_ratfunc1(A, B)) ) ) ) ).
fof(t26_ratfunc1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ratfunc1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k11_ratfunc1(A, k3_ratfunc1(A, k12_polynom3(A, k3_hurwitz(A, C, 1), k4_ratfunc1(A, B)), k12_polynom3(A, k3_hurwitz(A, C, 1), k5_ratfunc1(A, B))))=k11_ratfunc1(A, B)) ) ) ) ) ) ).
fof(t27_ratfunc1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ratfunc1(B, A) => k11_ratfunc1(A, k11_ratfunc1(A, B))=k11_ratfunc1(A, B)) ) ) ) ).
fof(t28_ratfunc1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v3_ratfunc1(B, A))  & m1_ratfunc1(B, A))  =>  (v4_ratfunc1(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  ( ~ (C=k4_struct_0(A))  & k4_tarski(k4_polynom5(A, k4_ratfunc1(A, B), C), k4_polynom5(A, k5_ratfunc1(A, B), C))=k11_ratfunc1(A, B)) ) ) ) ) ) ) ) ).
fof(d18_ratfunc1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ratfunc1(B, A) => k12_ratfunc1(A, B)=k4_xxreal_0(k2_hurwitz(A, k4_ratfunc1(A, k11_ratfunc1(A, B))), k2_hurwitz(A, k5_ratfunc1(A, k11_ratfunc1(A, B))))) ) ) ) ).
fof(t29_ratfunc1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ratfunc1(B, A) => r1_xxreal_0(k12_ratfunc1(A, B), k4_xxreal_0(k2_hurwitz(A, k4_ratfunc1(A, B)), k2_hurwitz(A, k5_ratfunc1(A, B))))) ) ) ) ).
fof(t30_ratfunc1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v3_ratfunc1(B, A))  & m1_ratfunc1(B, A))  =>  (v4_ratfunc1(B, A) <=> k12_ratfunc1(A, B)=k4_xxreal_0(k2_hurwitz(A, k4_ratfunc1(A, B)), k2_hurwitz(A, k5_ratfunc1(A, B)))) ) ) ) ) ).
fof(d19_ratfunc1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ratfunc1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k13_ratfunc1(A, B, C)=k12_algstr_0(A, k2_polynom4(A, k4_ratfunc1(A, B), C), k2_polynom4(A, k5_ratfunc1(A, B), C))) ) ) ) ) ) ).
fof(t31_ratfunc1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k13_ratfunc1(A, k7_ratfunc1(A), B)=k4_struct_0(A)) ) ) ) ).
fof(t32_ratfunc1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k13_ratfunc1(A, k8_ratfunc1(A), B)=k5_struct_0(A)) ) ) ) ).
fof(t33_ratfunc1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ratfunc1(B, A) =>  (! [C] :  (m1_ratfunc1(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (k2_polynom4(A, k5_ratfunc1(A, B), D)=k4_struct_0(A))  &  ( ~ (k2_polynom4(A, k5_ratfunc1(A, C), D)=k4_struct_0(A))  &  ~ (k13_ratfunc1(A, k9_ratfunc1(A, B, C), D)=k3_rlvect_1(A, k13_ratfunc1(A, B, D), k13_ratfunc1(A, C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_ratfunc1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ratfunc1(B, A) =>  (! [C] :  (m1_ratfunc1(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (k2_polynom4(A, k5_ratfunc1(A, B), D)=k4_struct_0(A))  &  ( ~ (k2_polynom4(A, k5_ratfunc1(A, C), D)=k4_struct_0(A))  &  ~ (k13_ratfunc1(A, k10_ratfunc1(A, B, C), D)=k8_group_1(A, k13_ratfunc1(A, B, D), k13_ratfunc1(A, C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_ratfunc1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ratfunc1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (k2_polynom4(A, k5_ratfunc1(A, B), C)=k4_struct_0(A))  => k13_ratfunc1(A, k6_ratfunc1(A, B), C)=k13_ratfunc1(A, B, C)) ) ) ) ) ) ) ).
fof(t36_ratfunc1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ratfunc1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (k2_polynom4(A, k5_ratfunc1(A, B), C)=k4_struct_0(A))  &  ( ~ (r1_ratfunc1(A, k4_ratfunc1(A, B), k5_ratfunc1(A, B), C))  &  ~ (k13_ratfunc1(A, k11_ratfunc1(A, B), C)=k13_ratfunc1(A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_ratfunc1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l6_algstr_0(A)) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  => m1_subset_1(k1_ratfunc1(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k2_ratfunc1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  => m1_subset_1(k2_ratfunc1(A, B), u1_struct_0(A))) ) ).
fof(existence_m1_ratfunc1, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l5_algstr_0(A))  =>  (? [B] : m1_ratfunc1(B, A)) ) ) ).
fof(dt_k3_ratfunc1, axiom,  (! [A, B, C] :  ( ( ( ~ (v7_struct_0(A))  & l5_algstr_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) &  (v1_uproots(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ) )  => m1_ratfunc1(k3_ratfunc1(A, B, C), A)) ) ).
fof(redefinition_k3_ratfunc1, axiom,  (! [A, B, C] :  ( ( ( ~ (v7_struct_0(A))  & l5_algstr_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) &  (v1_uproots(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ) )  => k3_ratfunc1(A, B, C)=k4_tarski(B, C)) ) ).
fof(dt_k4_ratfunc1, axiom,  (! [A, B] :  ( ( ( ~ (v7_struct_0(A))  & l5_algstr_0(A))  & m1_ratfunc1(B, A))  =>  (v1_funct_1(k4_ratfunc1(A, B)) &  (v1_funct_2(k4_ratfunc1(A, B), k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(k4_ratfunc1(A, B), A) & m1_subset_1(k4_ratfunc1(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ) ).
fof(redefinition_k4_ratfunc1, axiom,  (! [A, B] :  ( ( ( ~ (v7_struct_0(A))  & l5_algstr_0(A))  & m1_ratfunc1(B, A))  => k4_ratfunc1(A, B)=k1_xtuple_0(B)) ) ).
fof(dt_k5_ratfunc1, axiom,  (! [A, B] :  ( ( ( ~ (v7_struct_0(A))  & l5_algstr_0(A))  & m1_ratfunc1(B, A))  =>  (v1_funct_1(k5_ratfunc1(A, B)) &  (v1_funct_2(k5_ratfunc1(A, B), k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(k5_ratfunc1(A, B), A) &  (v1_uproots(k5_ratfunc1(A, B), A) & m1_subset_1(k5_ratfunc1(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ) ) ).
fof(redefinition_k5_ratfunc1, axiom,  (! [A, B] :  ( ( ( ~ (v7_struct_0(A))  & l5_algstr_0(A))  & m1_ratfunc1(B, A))  => k5_ratfunc1(A, B)=k2_xtuple_0(B)) ) ).
fof(dt_k6_ratfunc1, axiom,  (! [A, B] :  ( ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  & m1_ratfunc1(B, A))  => m1_ratfunc1(k6_ratfunc1(A, B), A)) ) ).
fof(dt_k7_ratfunc1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  & l5_algstr_0(A))  => m1_ratfunc1(k7_ratfunc1(A), A)) ) ).
fof(dt_k8_ratfunc1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  & l5_algstr_0(A))  => m1_ratfunc1(k8_ratfunc1(A), A)) ) ).
fof(dt_k9_ratfunc1, axiom,  (! [A, B, C] :  ( ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) )  &  (m1_ratfunc1(B, A) & m1_ratfunc1(C, A)) )  => m1_ratfunc1(k9_ratfunc1(A, B, C), A)) ) ).
fof(dt_k10_ratfunc1, axiom,  (! [A, B, C] :  ( ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) )  &  (m1_ratfunc1(B, A) & m1_ratfunc1(C, A)) )  => m1_ratfunc1(k10_ratfunc1(A, B, C), A)) ) ).
fof(dt_k11_ratfunc1, axiom,  (! [A, B] :  ( ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  & m1_ratfunc1(B, A))  => m1_ratfunc1(k11_ratfunc1(A, B), A)) ) ).
fof(dt_k12_ratfunc1, axiom,  (! [A, B] :  ( ( ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  & m1_ratfunc1(B, A))  => v1_int_1(k12_ratfunc1(A, B))) ) ).
fof(dt_k13_ratfunc1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (m1_ratfunc1(B, A) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k13_ratfunc1(A, B, C), u1_struct_0(A))) ) ).
fof(d5_ratfunc1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => k1_ratfunc1(A, B, C)=a_3_0_ratfunc1(A, B, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_ratfunc1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v1_group_1(B) & l6_algstr_0(B)) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) ) ) )  =>  (r2_hidden(A, a_3_0_ratfunc1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=E & r1_ratfunc1(B, C, D, E)) ) ) ) ) ) ).
fof(fc1_rcomp_1, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v3_rcomp_1(k4_xxreal_1(A, B))) ) ).
fof(fc2_rcomp_1, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v2_rcomp_1(k1_xxreal_1(A, B))) ) ).
fof(cc1_rcomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (v1_rcomp_1(A) => v2_rcomp_1(A)) ) ) ).
fof(rc1_rcomp_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) &  (v1_membered(A) &  (v2_membered(A) &  (v3_membered(A) & v3_rcomp_1(A)) ) ) ) ) ).
fof(cc2_rcomp_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_rcomp_1(B, A) => v3_rcomp_1(B)) ) ) ) ).
fof(t1_rcomp_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(B, k2_rcomp_1(k6_xcmplx_0(C, A), k2_xcmplx_0(C, A))) <=>  ~ (r1_xxreal_0(A, k9_complex1(k6_xcmplx_0(B, C)))) ) ) ) ) ) ) ) ).
fof(t2_rcomp_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(B, k1_rcomp_1(C, A)) <=> r1_xxreal_0(k9_complex1(k6_xcmplx_0(k2_xcmplx_0(C, A), k3_xcmplx_0(2, B))), k6_xcmplx_0(A, C))) ) ) ) ) ) ) ).
fof(t3_rcomp_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(B, k2_rcomp_1(C, A)) <=>  ~ (r1_xxreal_0(k6_xcmplx_0(A, C), k9_complex1(k6_xcmplx_0(k2_xcmplx_0(C, A), k3_xcmplx_0(2, B))))) ) ) ) ) ) ) ) ).
fof(d3_rcomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (v1_rcomp_1(A) <=>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( (r1_tarski(k10_xtuple_0(B), A) &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( (m2_valued_0(C, k1_numbers, B) &  (v2_comseq_2(C) & r2_hidden(k1_seq_2(C), A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_rcomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (v2_rcomp_1(A) <=>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (r1_tarski(k10_xtuple_0(B), A) & v2_comseq_2(B))  => r2_hidden(k1_seq_2(B), A)) ) ) ) ) ) ).
fof(d5_rcomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (v3_rcomp_1(A) <=> v2_rcomp_1(k3_subset_1(k1_numbers, A))) ) ) ).
fof(t4_rcomp_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (r1_tarski(k10_xtuple_0(C), k1_rcomp_1(A, B)) => v1_comseq_2(C)) ) ) ) ) ) ) ).
fof(t5_rcomp_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => v2_rcomp_1(k1_rcomp_1(A, B))) ) ) ) ).
fof(t6_rcomp_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => v1_rcomp_1(k1_rcomp_1(A, B))) ) ) ) ).
fof(t7_rcomp_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => v3_rcomp_1(k2_rcomp_1(A, B))) ) ) ) ).
fof(t8_rcomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (v1_rcomp_1(A) => v2_rcomp_1(A)) ) ) ).
fof(t9_rcomp_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  ( (! [C] :  (v1_xreal_0(C) =>  ~ ( (r2_hidden(C, B) &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [F] :  (v7_ordinal1(F) =>  ~ ( ( ~ (r1_xxreal_0(F, E))  & r1_xxreal_0(k9_complex1(k6_xcmplx_0(k1_funct_1(A, F), C)), D)) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( (m2_valued_0(C, k1_numbers, A) &  (v2_comseq_2(C) & r2_hidden(k1_seq_2(C), B)) ) ) ) ) ) ) ) ) ) ).
fof(t10_rcomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (v1_rcomp_1(A) => v5_xxreal_2(A)) ) ) ).
fof(t11_rcomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  ( (v5_xxreal_2(A) & v2_rcomp_1(A))  => v1_rcomp_1(A)) ) ) ).
fof(t12_rcomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  ( (v2_rcomp_1(A) & v4_xxreal_2(A))  =>  (A=k1_xboole_0 | r2_hidden(k2_seq_4(A), A)) ) ) ) ).
fof(t13_rcomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  ( (v2_rcomp_1(A) & v3_xxreal_2(A))  =>  (A=k1_xboole_0 | r2_hidden(k3_seq_4(A), A)) ) ) ) ).
fof(t14_rcomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (v1_rcomp_1(A) =>  (A=k1_xboole_0 |  (r2_hidden(k2_seq_4(A), A) & r2_hidden(k3_seq_4(A), A)) ) ) ) ) ).
fof(t15_rcomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  ~ ( (v1_rcomp_1(A) &  ( (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r2_hidden(B, A) & r2_hidden(C, A))  => r1_tarski(k1_rcomp_1(B, C), A)) ) ) ) )  &  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ (A=k1_rcomp_1(B, C)) ) ) ) ) ) ) ) ) ) ).
fof(d6_rcomp_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (m1_rcomp_1(B, A) <=>  (? [C] :  (v1_xreal_0(C) &  ( ~ (r1_xxreal_0(C, k5_numbers))  & B=k2_rcomp_1(k6_xcmplx_0(A, C), k2_xcmplx_0(A, C))) ) ) ) ) ) ) ) ).
fof(t16_rcomp_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_rcomp_1(B, A) => r2_hidden(A, B)) ) ) ) ).
fof(t17_rcomp_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_rcomp_1(B, A) =>  (! [C] :  (m1_rcomp_1(C, A) =>  (? [D] :  (m1_rcomp_1(D, A) &  (r1_tarski(D, B) & r1_tarski(D, C)) ) ) ) ) ) ) ) ) ).
fof(t18_rcomp_1, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r2_hidden(B, A) &  (! [C] :  (m1_rcomp_1(C, B) =>  ~ (r1_tarski(C, A)) ) ) ) ) ) ) ) ) ).
fof(t19_rcomp_1, axiom,  (! [A] :  ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r2_hidden(B, A) &  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  & r1_tarski(k2_rcomp_1(k6_xcmplx_0(B, C), k2_xcmplx_0(B, C)), A)) ) ) ) ) ) ) ) ) ) ).
fof(t20_rcomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  ( (! [B] :  (m1_subset_1(B, k1_numbers) =>  ~ ( (r2_tarski(B, A) &  (! [C] :  (m1_rcomp_1(C, B) =>  ~ (r1_tarski(C, A)) ) ) ) ) ) )  => v3_rcomp_1(A)) ) ) ).
fof(t21_rcomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  ~ ( (v3_rcomp_1(A) &  (v4_xxreal_2(A) & r2_hidden(k2_seq_4(A), A)) ) ) ) ) ).
fof(t22_rcomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  ~ ( (v3_rcomp_1(A) &  (v3_xxreal_2(A) & r2_hidden(k3_seq_4(A), A)) ) ) ) ) ).
fof(t23_rcomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  ~ ( (v3_rcomp_1(A) &  (v5_xxreal_2(A) &  ( (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r2_hidden(B, A) & r2_hidden(C, A))  => r1_tarski(k1_rcomp_1(B, C), A)) ) ) ) )  &  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ (A=k2_rcomp_1(B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_rcomp_1, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => m1_subset_1(k1_rcomp_1(A, B), k1_zfmisc_1(k1_numbers))) ) ).
fof(redefinition_k1_rcomp_1, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => k1_rcomp_1(A, B)=k1_xxreal_1(A, B)) ) ).
fof(dt_k2_rcomp_1, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => m1_subset_1(k2_rcomp_1(A, B), k1_zfmisc_1(k1_numbers))) ) ).
fof(redefinition_k2_rcomp_1, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => k2_rcomp_1(A, B)=k4_xxreal_1(A, B)) ) ).
fof(dt_m1_rcomp_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_rcomp_1(B, A) => m1_subset_1(B, k1_zfmisc_1(k1_numbers))) ) ) ) ).
fof(existence_m1_rcomp_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (? [B] : m1_rcomp_1(B, A)) ) ) ).
fof(dt_k3_rcomp_1, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xxreal_0(B))  => m1_subset_1(k3_rcomp_1(A, B), k1_zfmisc_1(k1_numbers))) ) ).
fof(redefinition_k3_rcomp_1, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xxreal_0(B))  => k3_rcomp_1(A, B)=k2_xxreal_1(A, B)) ) ).
fof(dt_k4_rcomp_1, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xreal_0(B))  => m1_subset_1(k4_rcomp_1(A, B), k1_zfmisc_1(k1_numbers))) ) ).
fof(redefinition_k4_rcomp_1, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xreal_0(B))  => k4_rcomp_1(A, B)=k3_xxreal_1(A, B)) ) ).
fof(d1_rcomp_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_rcomp_1(A, B)=a_2_0_rcomp_1(A, B)) ) ) ) ).
fof(d2_rcomp_1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) => k2_rcomp_1(A, B)=a_2_1_rcomp_1(A, B)) ) ) ) ).
fof(d7_rcomp_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) => k3_rcomp_1(A, B)=a_2_2_rcomp_1(A, B)) ) ) ) ).
fof(d8_rcomp_1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k4_rcomp_1(A, B)=a_2_3_rcomp_1(A, B)) ) ) ) ).
fof(fraenkel_a_2_0_rcomp_1, axiom,  (! [A, B, C] :  ( (v1_xreal_0(B) & v1_xreal_0(C))  =>  (r2_hidden(A, a_2_0_rcomp_1(B, C)) <=>  (? [D] :  (v1_xreal_0(D) &  (A=D &  (r1_xxreal_0(B, D) & r1_xxreal_0(D, C)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_rcomp_1, axiom,  (! [A, B, C] :  ( (v1_xxreal_0(B) & v1_xxreal_0(C))  =>  (r2_hidden(A, a_2_1_rcomp_1(B, C)) <=>  (? [D] :  (v1_xreal_0(D) &  (A=D &  ( ~ (r1_xxreal_0(D, B))  &  ~ (r1_xxreal_0(C, D)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_2_rcomp_1, axiom,  (! [A, B, C] :  ( (v1_xreal_0(B) & v1_xxreal_0(C))  =>  (r2_hidden(A, a_2_2_rcomp_1(B, C)) <=>  (? [D] :  (v1_xreal_0(D) &  (A=D &  (r1_xxreal_0(B, D) &  ~ (r1_xxreal_0(C, D)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_3_rcomp_1, axiom,  (! [A, B, C] :  ( (v1_xxreal_0(B) & v1_xreal_0(C))  =>  (r2_hidden(A, a_2_3_rcomp_1(B, C)) <=>  (? [D] :  (v1_xreal_0(D) &  (A=D &  ( ~ (r1_xxreal_0(D, B))  & r1_xxreal_0(D, C)) ) ) ) ) ) ) ).
fof(fc1_rcomp_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k2_subset_1(A))) ) ) ).
fof(cc1_rcomp_3, axiom,  (! [A] :  (m1_topmetr(A, k7_metric_1) => v3_topmetr(A)) ) ).
fof(fc2_rcomp_3, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xxreal_0(B))  => v3_xxreal_2(k2_xxreal_1(A, B))) ) ).
fof(fc3_rcomp_3, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xxreal_0(B))  => v4_xxreal_2(k3_xxreal_1(B, A))) ) ).
fof(fc4_rcomp_3, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v5_xxreal_2(k2_xxreal_1(A, B))) ) ).
fof(fc5_rcomp_3, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v5_xxreal_2(k3_xxreal_1(A, B))) ) ).
fof(fc6_rcomp_3, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v5_xxreal_2(k4_xxreal_1(A, B))) ) ).
fof(rc1_rcomp_3, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) &  ( ~ (v1_xboole_0(A))  &  (v1_membered(A) &  (v2_membered(A) &  (v3_membered(A) &  (v3_rcomp_1(A) &  (v5_xxreal_2(A) & v6_xxreal_2(A)) ) ) ) ) ) ) ) ).
fof(fc7_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (v3_xxreal_2(k1_limfunc1(A)))  &  (v4_xxreal_2(k1_limfunc1(A)) & v6_xxreal_2(k1_limfunc1(A))) ) ) ) ).
fof(fc8_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (v3_xxreal_2(k10_prob_1(A)))  &  (v4_xxreal_2(k10_prob_1(A)) & v6_xxreal_2(k10_prob_1(A))) ) ) ) ).
fof(fc9_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v3_xxreal_2(k2_limfunc1(A)) &  ( ~ (v4_xxreal_2(k2_limfunc1(A)))  & v6_xxreal_2(k2_limfunc1(A))) ) ) ) ).
fof(fc10_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v3_xxreal_2(k3_limfunc1(A)) &  ( ~ (v4_xxreal_2(k3_limfunc1(A)))  & v6_xxreal_2(k3_limfunc1(A))) ) ) ) ).
fof(fc11_rcomp_3, axiom,  ( ~ (v3_xxreal_2(k2_subset_1(k1_numbers)))  &  ( ~ (v4_xxreal_2(k2_subset_1(k1_numbers)))  & v6_xxreal_2(k2_subset_1(k1_numbers))) ) ).
fof(rc2_rcomp_3, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) &  ( ~ (v1_xboole_0(A))  &  (v1_membered(A) &  (v2_membered(A) &  (v3_membered(A) &  (v2_rcomp_1(A) &  (v3_rcomp_1(A) &  ( ~ (v5_xxreal_2(A))  & v6_xxreal_2(A)) ) ) ) ) ) ) ) ) ).
fof(fc12_rcomp_3, axiom,  (! [A, B] :  ( ( (v3_topmetr(A) & l1_pre_topc(A))  &  (v6_xxreal_2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (v1_pre_topc(k1_pre_topc(A, B)) & v2_topalg_2(k1_pre_topc(A, B))) ) ) ).
fof(fc13_rcomp_3, axiom,  (! [A] :  ( (v6_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  => v6_xxreal_2(k5_toprealb(A))) ) ).
fof(cc2_rcomp_3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k2_topalg_2))) =>  (v2_connsp_1(A, k2_topalg_2) => v6_xxreal_2(A)) ) ) ).
fof(cc3_rcomp_3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k2_topalg_2))) =>  (v6_xxreal_2(A) => v2_connsp_1(A, k2_topalg_2)) ) ) ).
fof(fc14_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (v2_struct_0(k4_topmetr(A, A)))  &  (v13_struct_0(k4_topmetr(A, A), 1) & v1_pre_topc(k4_topmetr(A, A))) ) ) ) ).
fof(rc3_rcomp_3, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  (v3_pre_topc(B, A) &  (v4_pre_topc(B, A) & v2_connsp_1(B, A)) ) ) ) ) ) ).
fof(rc4_rcomp_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_connsp_1(A) & l1_pre_topc(A)) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  (v3_pre_topc(B, A) &  (v4_pre_topc(B, A) & v2_connsp_1(B, A)) ) ) ) ) ) ) ).
fof(rc5_rcomp_3, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) &  ( ~ (v1_xboole_0(B))  &  (v1_tops_2(B, A) &  (v2_tops_2(B, A) & v1_rcomp_3(B, A)) ) ) ) ) ) ) ).
fof(cc4_rcomp_3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_zfmisc_1(k1_numbers))) =>  (! [B] :  (m1_subset_1(B, A) => v3_membered(B)) ) ) ) ).
fof(t1_rcomp_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_membered(A) & v3_xxreal_2(A)) )  =>  (! [B] :  ( (v2_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, B) => r2_hidden(k3_seq_4(A), B)) ) ) ) ) ).
fof(t2_rcomp_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v3_membered(A) & v4_xxreal_2(A)) )  =>  (! [B] :  ( (v2_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (r1_tarski(A, B) => r2_hidden(k2_seq_4(A), B)) ) ) ) ) ).
fof(t3_rcomp_3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) => k5_measure6(k4_subset_1(k1_numbers, A, B))=k4_subset_1(k1_numbers, k5_measure6(A), k5_measure6(B))) ) ) ) ).
fof(t4_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(B, A))  => k3_seq_4(k3_rcomp_1(A, B))=A) ) ) ) ) ).
fof(t5_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(B, A))  => k2_seq_4(k3_rcomp_1(A, B))=B) ) ) ) ) ).
fof(t6_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(B, A))  => k3_seq_4(k4_rcomp_1(A, B))=A) ) ) ) ) ).
fof(t7_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(B, A))  => k2_seq_4(k4_rcomp_1(A, B))=B) ) ) ) ) ).
fof(t8_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) => k9_subset_1(k1_numbers, k1_rcomp_1(A, B), k4_subset_1(k1_numbers, k1_limfunc1(A), k2_limfunc1(B)))=k2_tarski(A, B)) ) ) ) ) ).
fof(t9_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) => k2_seq_4(k1_limfunc1(A))=A) ) ).
fof(t10_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) => k2_seq_4(k10_prob_1(A))=A) ) ).
fof(t11_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) => k3_seq_4(k2_limfunc1(A))=A) ) ).
fof(t12_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) => k3_seq_4(k3_limfunc1(A))=A) ) ).
fof(t13_rcomp_3, axiom,  (! [A] :  ( (v5_xxreal_2(A) &  (v6_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  ( (r2_hidden(k3_seq_4(A), A) & r2_hidden(k2_seq_4(A), A))  => A=k1_rcomp_1(k3_seq_4(A), k2_seq_4(A))) ) ) ).
fof(t14_rcomp_3, axiom,  (! [A] :  ( (v5_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( ~ (r2_hidden(k3_seq_4(A), A))  => r1_tarski(A, k4_rcomp_1(k3_seq_4(A), k2_seq_4(A)))) ) ) ).
fof(t15_rcomp_3, axiom,  (! [A] :  ( (v5_xxreal_2(A) &  (v6_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (r2_hidden(k2_seq_4(A), A) =>  (r2_hidden(k3_seq_4(A), A) | A=k4_rcomp_1(k3_seq_4(A), k2_seq_4(A))) ) ) ) ).
fof(t16_rcomp_3, axiom,  (! [A] :  ( (v5_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( ~ (r2_hidden(k2_seq_4(A), A))  => r1_tarski(A, k3_rcomp_1(k3_seq_4(A), k2_seq_4(A)))) ) ) ).
fof(t17_rcomp_3, axiom,  (! [A] :  ( (v5_xxreal_2(A) &  (v6_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (r2_hidden(k3_seq_4(A), A) =>  (r2_hidden(k2_seq_4(A), A) | A=k3_rcomp_1(k3_seq_4(A), k2_seq_4(A))) ) ) ) ).
fof(t18_rcomp_3, axiom,  (! [A] :  ( (v5_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ~ ( ( ~ (r2_hidden(k3_seq_4(A), A))  &  ( ~ (r2_hidden(k2_seq_4(A), A))  &  ~ (r1_tarski(A, k2_rcomp_1(k3_seq_4(A), k2_seq_4(A)))) ) ) ) ) ) ).
fof(t19_rcomp_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v5_xxreal_2(A) &  (v6_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) ) )  =>  ~ ( ( ~ (r2_hidden(k3_seq_4(A), A))  &  ( ~ (r2_hidden(k2_seq_4(A), A))  &  ~ (A=k2_rcomp_1(k3_seq_4(A), k2_seq_4(A))) ) ) ) ) ) ).
fof(t20_rcomp_3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (v4_xxreal_2(A) => r1_tarski(A, k1_limfunc1(k2_seq_4(A)))) ) ) ).
fof(t21_rcomp_3, axiom,  (! [A] :  ( (v6_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (v4_xxreal_2(A) & r2_hidden(k2_seq_4(A), A))  =>  (v3_xxreal_2(A) | A=k1_limfunc1(k2_seq_4(A))) ) ) ) ).
fof(t22_rcomp_3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (v4_xxreal_2(A) =>  (r2_hidden(k2_seq_4(A), A) | r1_tarski(A, k10_prob_1(k2_seq_4(A)))) ) ) ) ).
fof(t23_rcomp_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v6_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (v4_xxreal_2(A) =>  (v3_xxreal_2(A) |  (r2_hidden(k2_seq_4(A), A) | A=k10_prob_1(k2_seq_4(A))) ) ) ) ) ).
fof(t24_rcomp_3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (v3_xxreal_2(A) => r1_tarski(A, k2_limfunc1(k3_seq_4(A)))) ) ) ).
fof(t25_rcomp_3, axiom,  (! [A] :  ( (v6_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ( (v3_xxreal_2(A) & r2_hidden(k3_seq_4(A), A))  =>  (v4_xxreal_2(A) | A=k2_limfunc1(k3_seq_4(A))) ) ) ) ).
fof(t26_rcomp_3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (v3_xxreal_2(A) =>  (r2_hidden(k3_seq_4(A), A) | r1_tarski(A, k3_limfunc1(k3_seq_4(A)))) ) ) ) ).
fof(t27_rcomp_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v6_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (v3_xxreal_2(A) =>  (v4_xxreal_2(A) |  (r2_hidden(k3_seq_4(A), A) | A=k3_limfunc1(k3_seq_4(A))) ) ) ) ) ).
fof(t28_rcomp_3, axiom,  (! [A] :  ( (v6_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ~ ( ( ~ (v4_xxreal_2(A))  &  ( ~ (v3_xxreal_2(A))  &  ~ (A=k1_numbers) ) ) ) ) ) ).
fof(t29_rcomp_3, axiom,  (! [A] :  ( (v6_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  =>  ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (A=k1_numbers)  &  ( (! [B] :  (v1_xreal_0(B) =>  ~ (A=k1_limfunc1(B)) ) )  &  ( (! [B] :  (v1_xreal_0(B) =>  ~ (A=k10_prob_1(B)) ) )  &  ( (! [B] :  (v1_xreal_0(B) =>  ~ (A=k2_limfunc1(B)) ) )  &  ( (! [B] :  (v1_xreal_0(B) =>  ~ (A=k3_limfunc1(B)) ) )  &  ( (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( (r1_xxreal_0(B, C) & A=k1_rcomp_1(B, C)) ) ) ) ) )  &  ( (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, B))  & A=k3_rcomp_1(B, C)) ) ) ) ) )  &  ( (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, B))  & A=k4_rcomp_1(B, C)) ) ) ) ) )  &  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, B))  & A=k2_rcomp_1(B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v6_xxreal_2(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  ~ ( ( ~ (r2_hidden(A, B))  &  ( ~ (r1_xxreal_0(A, k3_seq_4(B)))  &  ~ (r1_xxreal_0(k2_seq_4(B), A)) ) ) ) ) ) ) ) ).
fof(t31_rcomp_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v5_xxreal_2(A) &  (v6_xxreal_2(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v5_xxreal_2(B) &  (v6_xxreal_2(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) ) )  =>  ( (r1_xxreal_0(k3_seq_4(A), k3_seq_4(B)) & r1_xxreal_0(k2_seq_4(B), k2_seq_4(A)))  =>  ( (k3_seq_4(A)=k3_seq_4(B) &  (r2_hidden(k3_seq_4(B), B) &  ~ (r2_hidden(k3_seq_4(A), A)) ) )  |  ( (k2_seq_4(A)=k2_seq_4(B) &  (r2_hidden(k2_seq_4(B), B) &  ~ (r2_hidden(k2_seq_4(A), A)) ) )  | r1_tarski(B, A)) ) ) ) ) ) ) ).
fof(t32_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_topalg_2))) =>  ( (r1_xxreal_0(A, B) & C=k1_rcomp_1(A, B))  => k2_tops_1(k2_topalg_2, C)=k2_tarski(A, B)) ) ) ) ) ) ) ).
fof(t33_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_topalg_2))) =>  (C=k2_rcomp_1(A, B) =>  (r1_xxreal_0(B, A) | k2_tops_1(k2_topalg_2, C)=k2_tarski(A, B)) ) ) ) ) ) ) ) ).
fof(t34_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_topalg_2))) =>  (C=k3_rcomp_1(A, B) =>  (r1_xxreal_0(B, A) | k2_tops_1(k2_topalg_2, C)=k2_tarski(A, B)) ) ) ) ) ) ) ) ).
fof(t35_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_topalg_2))) =>  (C=k4_rcomp_1(A, B) =>  (r1_xxreal_0(B, A) | k2_tops_1(k2_topalg_2, C)=k2_tarski(A, B)) ) ) ) ) ) ) ) ).
fof(t36_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_topalg_2))) =>  (C=k1_rcomp_1(A, B) => k1_tops_1(k2_topalg_2, C)=k2_rcomp_1(A, B)) ) ) ) ) ) ) ).
fof(t37_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_topalg_2))) =>  (C=k2_rcomp_1(A, B) => k1_tops_1(k2_topalg_2, C)=k2_rcomp_1(A, B)) ) ) ) ) ) ) ).
fof(t38_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_topalg_2))) =>  (C=k3_rcomp_1(A, B) => k1_tops_1(k2_topalg_2, C)=k2_rcomp_1(A, B)) ) ) ) ) ) ) ).
fof(t39_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_topalg_2))) =>  (C=k4_rcomp_1(A, B) => k1_tops_1(k2_topalg_2, C)=k2_rcomp_1(A, B)) ) ) ) ) ) ) ).
fof(t40_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k4_topmetr(A, B)))) =>  (v5_xxreal_2(C) & m1_subset_1(C, k1_zfmisc_1(k1_numbers))) ) ) ) ) ) ) ) ).
fof(t41_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (r1_xxreal_0(C, D) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k4_topmetr(C, D)))) =>  ( (E=k3_rcomp_1(A, B) & r1_xxreal_0(B, D))  =>  (r1_xxreal_0(A, C) | k1_tops_1(k4_topmetr(C, D), E)=k2_rcomp_1(A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (r1_xxreal_0(C, D) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k4_topmetr(C, D)))) =>  ( (E=k4_rcomp_1(A, B) & r1_xxreal_0(C, A))  =>  (r1_xxreal_0(D, B) | k1_tops_1(k4_topmetr(C, D), E)=k2_rcomp_1(A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k4_topmetr(A, B)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_numbers)) =>  (C=D =>  (v2_connsp_1(C, k4_topmetr(A, B)) <=> v6_xxreal_2(D)) ) ) ) ) ) ) ) ) ) ).
fof(t44_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) =>  (! [C] :  ( (v3_pre_topc(C, k4_topmetr(A, B)) &  (v2_connsp_1(C, k4_topmetr(A, B)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k4_topmetr(A, B))))) )  =>  ~ ( ( ~ (v1_xboole_0(C))  &  ( ~ (C=k1_rcomp_1(A, B))  &  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, A))  &  (r1_xxreal_0(D, B) & C=k3_rcomp_1(A, D)) ) ) ) )  &  ( (! [D] :  (v1_xreal_0(D) =>  ~ ( (r1_xxreal_0(A, D) &  ( ~ (r1_xxreal_0(B, D))  & C=k4_rcomp_1(D, B)) ) ) ) )  &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r1_xxreal_0(A, D) &  ( ~ (r1_xxreal_0(E, D))  &  (r1_xxreal_0(E, B) & C=k2_rcomp_1(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_rcomp_3, axiom,  (! [A] :  ( (v13_struct_0(A, 1) & l1_struct_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (m1_setfam_1(C, u1_struct_0(A)) => r2_tarski(k1_tarski(B), C)) ) ) ) ) ) ) ).
fof(d1_rcomp_3, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (v1_rcomp_3(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(C, B) => v2_connsp_1(C, A)) ) ) ) ) ) ) ) ).
fof(d2_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A, B))))) =>  ( (m1_setfam_1(C, u1_struct_0(k4_topmetr(A, B))) &  (v1_tops_2(C, k4_topmetr(A, B)) &  (v1_rcomp_3(C, k4_topmetr(A, B)) & r1_xxreal_0(A, B)) ) )  =>  (! [D] :  (m2_finseq_1(D, k9_setfam_1(k1_numbers)) =>  (m1_rcomp_3(D, A, B, C) <=>  (r1_tarski(k2_relset_1(k9_setfam_1(k1_numbers), D), C) &  (k5_setfam_1(k1_numbers, k2_relset_1(k9_setfam_1(k1_numbers), D))=k1_rcomp_1(A, B) &  ( (! [E] :  (v7_ordinal1(E) =>  (r1_xxreal_0(1, E) =>  ( ~ ( (r1_xxreal_0(E, k3_finseq_1(D)) & v1_xboole_0(k7_partfun1(k9_setfam_1(k1_numbers), D, E))) )  &  ( (r1_xxreal_0(k1_nat_1(E, 1), k3_finseq_1(D)) =>  (r1_xxreal_0(k3_seq_4(k7_partfun1(k9_setfam_1(k1_numbers), D, E)), k3_seq_4(k7_partfun1(k9_setfam_1(k1_numbers), D, k1_nat_1(E, 1)))) &  (r1_xxreal_0(k2_seq_4(k7_partfun1(k9_setfam_1(k1_numbers), D, E)), k2_seq_4(k7_partfun1(k9_setfam_1(k1_numbers), D, k1_nat_1(E, 1)))) &  ~ (r1_xxreal_0(k2_seq_4(k7_partfun1(k9_setfam_1(k1_numbers), D, E)), k3_seq_4(k7_partfun1(k9_setfam_1(k1_numbers), D, k1_nat_1(E, 1))))) ) ) )  &  (r1_xxreal_0(k1_nat_1(E, 2), k3_finseq_1(D)) => r1_xxreal_0(k2_seq_4(k7_partfun1(k9_setfam_1(k1_numbers), D, E)), k3_seq_4(k7_partfun1(k9_setfam_1(k1_numbers), D, k1_nat_1(E, 2))))) ) ) ) ) )  &  ( (r2_tarski(k1_rcomp_1(A, B), C) => D=k12_finseq_1(k1_zfmisc_1(k1_numbers), k1_rcomp_1(A, B)))  &  ( ~ (r2_tarski(k1_rcomp_1(A, B), C))  =>  ( (? [E] :  (v1_xreal_0(E) &  ( ~ (r1_xxreal_0(E, A))  &  (r1_xxreal_0(E, B) & k1_funct_1(D, 1)=k3_rcomp_1(A, E)) ) ) )  &  ( (? [E] :  (v1_xreal_0(E) &  (r1_xxreal_0(A, E) &  ( ~ (r1_xxreal_0(B, E))  & k1_funct_1(D, k3_finseq_1(D))=k4_rcomp_1(E, B)) ) ) )  &  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(E, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(D), E))  &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( (r1_xxreal_0(A, F) &  ( ~ (r1_xxreal_0(G, F))  &  (r1_xxreal_0(G, B) & k1_funct_1(D, E)=k2_rcomp_1(F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A, B))))) =>  ( (m1_setfam_1(C, u1_struct_0(k4_topmetr(A, B))) &  (v1_tops_2(C, k4_topmetr(A, B)) &  (v1_rcomp_3(C, k4_topmetr(A, B)) &  (r1_xxreal_0(A, B) & r2_tarski(k1_rcomp_1(A, B), C)) ) ) )  => m1_rcomp_3(k12_finseq_1(k1_zfmisc_1(k1_numbers), k1_rcomp_1(A, B)), A, B, C)) ) ) ) ) ) ) ).
fof(t50_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A, A))))) =>  (! [C] :  (m1_rcomp_3(C, A, A, B) =>  ( (m1_setfam_1(B, u1_struct_0(k4_topmetr(A, A))) &  (v1_tops_2(B, k4_topmetr(A, A)) & v1_rcomp_3(B, k4_topmetr(A, A))) )  => C=k12_finseq_1(k1_zfmisc_1(k1_numbers), k1_rcomp_1(A, A))) ) ) ) ) ) ) ).
fof(t51_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A, B))))) =>  (! [D] :  (m1_rcomp_3(D, A, B, C) =>  ( (m1_setfam_1(C, u1_struct_0(k4_topmetr(A, B))) &  (v1_tops_2(C, k4_topmetr(A, B)) &  (v1_rcomp_3(C, k4_topmetr(A, B)) & r1_xxreal_0(A, B)) ) )  => r1_xxreal_0(1, k3_finseq_1(D))) ) ) ) ) ) ) ) ) ).
fof(t52_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A, B))))) =>  (! [D] :  (m1_rcomp_3(D, A, B, C) =>  ( (m1_setfam_1(C, u1_struct_0(k4_topmetr(A, B))) &  (v1_tops_2(C, k4_topmetr(A, B)) &  (v1_rcomp_3(C, k4_topmetr(A, B)) &  (r1_xxreal_0(A, B) & k3_finseq_1(D)=1) ) ) )  => D=k12_finseq_1(k1_zfmisc_1(k1_numbers), k1_rcomp_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(t53_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A, B))))) =>  (! [F] :  (m1_rcomp_3(F, A, B, E) =>  ( (m1_setfam_1(E, u1_struct_0(k4_topmetr(A, B))) &  (v1_tops_2(E, k4_topmetr(A, B)) &  (v1_rcomp_3(E, k4_topmetr(A, B)) &  (r1_xxreal_0(A, B) &  (r2_tarski(C, k4_finseq_1(F)) & r2_tarski(D, k4_finseq_1(F))) ) ) ) )  =>  (r1_xxreal_0(D, C) | r1_xxreal_0(k3_seq_4(k7_partfun1(k9_setfam_1(k1_numbers), F, C)), k3_seq_4(k7_partfun1(k9_setfam_1(k1_numbers), F, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A, B))))) =>  (! [F] :  (m1_rcomp_3(F, A, B, E) =>  ( (m1_setfam_1(E, u1_struct_0(k4_topmetr(A, B))) &  (v1_tops_2(E, k4_topmetr(A, B)) &  (v1_rcomp_3(E, k4_topmetr(A, B)) &  (r1_xxreal_0(A, B) &  (r2_tarski(C, k4_finseq_1(F)) & r2_tarski(D, k4_finseq_1(F))) ) ) ) )  =>  (r1_xxreal_0(D, C) | r1_xxreal_0(k2_seq_4(k7_partfun1(k9_setfam_1(k1_numbers), F, C)), k2_seq_4(k7_partfun1(k9_setfam_1(k1_numbers), F, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A, B))))) =>  (! [E] :  (m1_rcomp_3(E, A, B, D) =>  ~ ( (m1_setfam_1(D, u1_struct_0(k4_topmetr(A, B))) &  (v1_tops_2(D, k4_topmetr(A, B)) &  (v1_rcomp_3(D, k4_topmetr(A, B)) &  (r1_xxreal_0(A, B) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(E)) & v1_xboole_0(k2_rcomp_1(k3_seq_4(k7_partfun1(k9_setfam_1(k1_numbers), E, k1_nat_1(C, 1))), k2_seq_4(k7_partfun1(k9_setfam_1(k1_numbers), E, C))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A, B))))) =>  (! [D] :  (m1_rcomp_3(D, A, B, C) =>  ( (m1_setfam_1(C, u1_struct_0(k4_topmetr(A, B))) &  (v1_tops_2(C, k4_topmetr(A, B)) &  (v1_rcomp_3(C, k4_topmetr(A, B)) & r1_xxreal_0(A, B)) ) )  => k3_seq_4(k7_partfun1(k9_setfam_1(k1_numbers), D, 1))=A) ) ) ) ) ) ) ) ) ).
fof(t57_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A, B))))) =>  (! [D] :  (m1_rcomp_3(D, A, B, C) =>  ( (m1_setfam_1(C, u1_struct_0(k4_topmetr(A, B))) &  (v1_tops_2(C, k4_topmetr(A, B)) &  (v1_rcomp_3(C, k4_topmetr(A, B)) & r1_xxreal_0(A, B)) ) )  => r2_hidden(A, k7_partfun1(k9_setfam_1(k1_numbers), D, 1))) ) ) ) ) ) ) ) ) ).
fof(t58_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A, B))))) =>  (! [D] :  (m1_rcomp_3(D, A, B, C) =>  ( (m1_setfam_1(C, u1_struct_0(k4_topmetr(A, B))) &  (v1_tops_2(C, k4_topmetr(A, B)) &  (v1_rcomp_3(C, k4_topmetr(A, B)) & r1_xxreal_0(A, B)) ) )  => k2_seq_4(k7_partfun1(k9_setfam_1(k1_numbers), D, k3_finseq_1(D)))=B) ) ) ) ) ) ) ) ) ).
fof(t59_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A, B))))) =>  (! [D] :  (m1_rcomp_3(D, A, B, C) =>  ( (m1_setfam_1(C, u1_struct_0(k4_topmetr(A, B))) &  (v1_tops_2(C, k4_topmetr(A, B)) &  (v1_rcomp_3(C, k4_topmetr(A, B)) & r1_xxreal_0(A, B)) ) )  => r2_hidden(B, k7_partfun1(k9_setfam_1(k1_numbers), D, k3_finseq_1(D)))) ) ) ) ) ) ) ) ) ).
fof(d3_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A, B))))) =>  (! [D] :  (m1_rcomp_3(D, A, B, C) =>  ( (m1_setfam_1(C, u1_struct_0(k4_topmetr(A, B))) &  (v1_tops_2(C, k4_topmetr(A, B)) &  (v1_rcomp_3(C, k4_topmetr(A, B)) & r1_xxreal_0(A, B)) ) )  =>  (! [E] :  (m2_finseq_1(E, k1_numbers) =>  (m2_rcomp_3(E, A, B, C, D) <=>  (k3_finseq_1(E)=k1_nat_1(k3_finseq_1(D), 1) &  (k1_funct_1(E, 1)=A &  (k1_funct_1(E, k3_finseq_1(E))=B &  (! [F] :  (v7_ordinal1(F) =>  (r1_xxreal_0(1, F) =>  (r1_xxreal_0(k3_finseq_1(E), k1_nat_1(F, 1)) | r2_tarski(k1_funct_1(E, k1_nat_1(F, 1)), k2_rcomp_1(k3_seq_4(k7_partfun1(k9_setfam_1(k1_numbers), D, k1_nat_1(F, 1))), k2_seq_4(k7_partfun1(k9_setfam_1(k1_numbers), D, F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A, B))))) =>  (! [D] :  (m1_rcomp_3(D, A, B, C) =>  (! [E] :  (m2_rcomp_3(E, A, B, C, D) =>  ( (m1_setfam_1(C, u1_struct_0(k4_topmetr(A, B))) &  (v1_tops_2(C, k4_topmetr(A, B)) &  (v1_rcomp_3(C, k4_topmetr(A, B)) & r1_xxreal_0(A, B)) ) )  => r1_xxreal_0(2, k3_finseq_1(E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A, B))))) =>  (! [D] :  (m1_rcomp_3(D, A, B, C) =>  (! [E] :  (m2_rcomp_3(E, A, B, C, D) =>  ( (m1_setfam_1(C, u1_struct_0(k4_topmetr(A, B))) &  (v1_tops_2(C, k4_topmetr(A, B)) &  (v1_rcomp_3(C, k4_topmetr(A, B)) &  (r1_xxreal_0(A, B) & k3_finseq_1(D)=1) ) ) )  => E=k10_finseq_1(A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A, B))))) =>  (! [E] :  (m1_rcomp_3(E, A, B, D) =>  (! [F] :  (m2_rcomp_3(F, A, B, D, E) =>  ~ ( (m1_setfam_1(D, u1_struct_0(k4_topmetr(A, B))) &  (v1_tops_2(D, k4_topmetr(A, B)) &  (v1_rcomp_3(D, k4_topmetr(A, B)) &  (r1_xxreal_0(A, B) &  (r1_xxreal_0(1, C) &  ( ~ (r1_xxreal_0(k3_finseq_1(F), k1_nat_1(C, 1)))  & r1_xxreal_0(k2_seq_4(k7_partfun1(k9_setfam_1(k1_numbers), E, C)), k1_funct_1(F, k1_nat_1(C, 1)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A, B))))) =>  (! [E] :  (m1_rcomp_3(E, A, B, D) =>  (! [F] :  (m2_rcomp_3(F, A, B, D, E) =>  ~ ( (m1_setfam_1(D, u1_struct_0(k4_topmetr(A, B))) &  (v1_tops_2(D, k4_topmetr(A, B)) &  (v1_rcomp_3(D, k4_topmetr(A, B)) &  (r1_xxreal_0(A, B) &  ( ~ (r1_xxreal_0(C, 1))  &  (r1_xxreal_0(C, k3_finseq_1(E)) & r1_xxreal_0(k1_funct_1(F, C), k3_seq_4(k7_partfun1(k9_setfam_1(k1_numbers), E, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A, B))))) =>  (! [E] :  (m1_rcomp_3(E, A, B, D) =>  (! [F] :  (m2_rcomp_3(F, A, B, D, E) =>  ( (m1_setfam_1(D, u1_struct_0(k4_topmetr(A, B))) &  (v1_tops_2(D, k4_topmetr(A, B)) &  (v1_rcomp_3(D, k4_topmetr(A, B)) &  (r1_xxreal_0(A, B) & r1_xxreal_0(1, C)) ) ) )  =>  (r1_xxreal_0(k3_finseq_1(E), C) | r1_xxreal_0(k1_funct_1(F, C), k3_seq_4(k7_partfun1(k9_setfam_1(k1_numbers), E, k1_nat_1(C, 1))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A, B))))) =>  (! [D] :  (m1_rcomp_3(D, A, B, C) =>  (! [E] :  (m2_rcomp_3(E, A, B, C, D) =>  ( (m1_setfam_1(C, u1_struct_0(k4_topmetr(A, B))) &  (v1_tops_2(C, k4_topmetr(A, B)) & v1_rcomp_3(C, k4_topmetr(A, B))) )  =>  (r1_xxreal_0(B, A) | v5_valued_0(E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_rcomp_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A, B))))) =>  (! [E] :  (m1_rcomp_3(E, A, B, D) =>  (! [F] :  (m2_rcomp_3(F, A, B, D, E) =>  ( (m1_setfam_1(D, u1_struct_0(k4_topmetr(A, B))) &  (v1_tops_2(D, k4_topmetr(A, B)) &  (v1_rcomp_3(D, k4_topmetr(A, B)) &  (r1_xxreal_0(A, B) & r1_xxreal_0(1, C)) ) ) )  =>  (r1_xxreal_0(k3_finseq_1(F), C) | r1_tarski(k1_rcomp_1(k1_funct_1(F, C), k1_funct_1(F, k1_nat_1(C, 1))), k1_funct_1(E, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_m1_rcomp_3, axiom,  (! [A, B, C] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A, B)))))) )  =>  (! [D] :  (m1_rcomp_3(D, A, B, C) => m2_finseq_1(D, k9_setfam_1(k1_numbers))) ) ) ) ).
fof(existence_m1_rcomp_3, axiom,  (! [A, B, C] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A, B)))))) )  =>  (? [D] : m1_rcomp_3(D, A, B, C)) ) ) ).
fof(dt_m2_rcomp_3, axiom,  (! [A, B, C, D] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A, B))))) & m1_rcomp_3(D, A, B, C)) ) )  =>  (! [E] :  (m2_rcomp_3(E, A, B, C, D) => m2_finseq_1(E, k1_numbers)) ) ) ) ).
fof(existence_m2_rcomp_3, axiom,  (! [A, B, C, D] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A, B))))) & m1_rcomp_3(D, A, B, C)) ) )  =>  (? [E] : m2_rcomp_3(E, A, B, C, D)) ) ) ).
fof(t45_rcomp_3, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ( (m1_setfam_1(B, u1_struct_0(A)) & C=k7_subset_1(k1_zfmisc_1(u1_struct_0(A)), B, a_2_0_rcomp_3(A, B)))  => m1_setfam_1(C, u1_struct_0(A))) ) ) ) ) ) ) ).
fof(t47_rcomp_3, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ( (m1_setfam_1(B, u1_struct_0(A)) & v1_finset_1(B))  =>  (! [D] :  ( (C=k7_subset_1(k1_zfmisc_1(u1_struct_0(A)), B, a_2_1_rcomp_3(A, B)) & D=a_2_2_rcomp_3(A, C))  => r5_orders_1(k1_wellord2(D), D)) ) ) ) ) ) ) ) ) ).
fof(t48_rcomp_3, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (! [C] :  (C=a_2_3_rcomp_3(A, B) =>  (! [D] :  ( (r7_orders_1(k1_wellord2(C), D) & r2_tarski(D, k1_relat_1(k1_wellord2(C))))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(E, D) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_tarski(F, D) &  (r2_tarski(G, D) &  (r1_tarski(E, k4_subset_1(u1_struct_0(A), F, G)) &  ( ~ (E=F)  &  ~ (E=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_rcomp_3, axiom,  (! [A, B, C] :  ( (l1_struct_0(B) &  (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B))))) )  =>  (r2_hidden(A, a_2_0_rcomp_3(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) &  (A=D &  (r2_tarski(D, C) &  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) &  (r2_tarski(E, C) & r2_xboole_0(D, E)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_rcomp_3, axiom,  (! [A, B, C] :  ( ( (v2_pre_topc(B) & l1_pre_topc(B))  & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))))  =>  (r2_hidden(A, a_2_1_rcomp_3(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) &  (A=D &  (r2_tarski(D, C) &  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) &  (r2_tarski(E, C) & r2_xboole_0(D, E)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_2_rcomp_3, axiom,  (! [A, B, C] :  ( ( (v2_pre_topc(B) & l1_pre_topc(B))  & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))))  =>  (r2_hidden(A, a_2_2_rcomp_3(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) &  (A=D &  (m1_setfam_1(D, u1_struct_0(B)) & r1_tarski(D, C)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_3_rcomp_3, axiom,  (! [A, B, C] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (r2_hidden(A, a_2_3_rcomp_3(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) &  (A=D &  (m1_setfam_1(D, u1_struct_0(B)) & r1_tarski(D, C)) ) ) ) ) ) ) ).
fof(t1_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_xxreal_0(A, B) & v2_xxreal_0(A))  => v2_xxreal_0(B)) ) ) ) ) ).
fof(t2_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_xxreal_0(A, B) & v3_xxreal_0(B))  => v3_xxreal_0(A)) ) ) ) ) ).
fof(t3_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(A, B) &  ( ~ (v3_xxreal_0(A))  & v3_xxreal_0(B)) ) ) ) ) ) ) ).
fof(t4_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(A, B) &  ( ~ (v2_xxreal_0(B))  & v2_xxreal_0(A)) ) ) ) ) ) ) ).
fof(t5_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) =>  (v8_ordinal1(B) |  (v3_xxreal_0(A) | v2_xxreal_0(B)) ) ) ) ) ) ) ).
fof(t6_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) =>  (v8_ordinal1(A) |  (v2_xxreal_0(B) | v3_xxreal_0(A)) ) ) ) ) ) ) ).
fof(t7_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(B)) ) ) ) ) ) ) ) ).
fof(t8_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (v3_xxreal_0(B))  &  ~ (v2_xxreal_0(A)) ) ) ) ) ) ) ) ).
fof(cc1_real_1, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) => v1_xreal_0(A)) ) ).
fof(rc1_real_1, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v2_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc2_real_1, axiom,  (? [A] :  (m1_subset_1(A, k1_numbers) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v2_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ) ).
fof(dt_k1_real_1, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) => m1_subset_1(k1_real_1(A), k1_numbers)) ) ).
fof(involutiveness_k1_real_1, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) => k1_real_1(k1_real_1(A))=A) ) ).
fof(redefinition_k1_real_1, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) => k1_real_1(A)=k4_xcmplx_0(A)) ) ).
fof(dt_k2_real_1, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) => m1_subset_1(k2_real_1(A), k1_numbers)) ) ).
fof(involutiveness_k2_real_1, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) => k2_real_1(k2_real_1(A))=A) ) ).
fof(redefinition_k2_real_1, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) => k2_real_1(A)=k5_xcmplx_0(A)) ) ).
fof(dt_k3_real_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_numbers) & m1_subset_1(B, k1_numbers))  => m1_subset_1(k3_real_1(A, B), k1_numbers)) ) ).
fof(commutativity_k3_real_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_numbers) & m1_subset_1(B, k1_numbers))  => k3_real_1(A, B)=k3_real_1(B, A)) ) ).
fof(redefinition_k3_real_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_numbers) & m1_subset_1(B, k1_numbers))  => k3_real_1(A, B)=k2_xcmplx_0(A, B)) ) ).
fof(dt_k4_real_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_numbers) & m1_subset_1(B, k1_numbers))  => m1_subset_1(k4_real_1(A, B), k1_numbers)) ) ).
fof(commutativity_k4_real_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_numbers) & m1_subset_1(B, k1_numbers))  => k4_real_1(A, B)=k4_real_1(B, A)) ) ).
fof(redefinition_k4_real_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_numbers) & m1_subset_1(B, k1_numbers))  => k4_real_1(A, B)=k3_xcmplx_0(A, B)) ) ).
fof(dt_k5_real_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_numbers) & m1_subset_1(B, k1_numbers))  => m1_subset_1(k5_real_1(A, B), k1_numbers)) ) ).
fof(redefinition_k5_real_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_numbers) & m1_subset_1(B, k1_numbers))  => k5_real_1(A, B)=k6_xcmplx_0(A, B)) ) ).
fof(dt_k6_real_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_numbers) & m1_subset_1(B, k1_numbers))  => m1_subset_1(k6_real_1(A, B), k1_numbers)) ) ).
fof(redefinition_k6_real_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_numbers) & m1_subset_1(B, k1_numbers))  => k6_real_1(A, B)=k7_xcmplx_0(A, B)) ) ).
fof(t1_real_1, axiom, k2_arytm_2=a_0_0_real_1).
fof(fraenkel_a_0_0_real_1, axiom,  (! [A] :  (r2_hidden(A, a_0_0_real_1) <=>  (? [B] :  (v1_xreal_0(B) &  (A=B & r1_xxreal_0(k5_numbers, B)) ) ) ) ) ).
fof(fc1_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v8_ordinal1(k4_int_1(A, k5_numbers)) & v1_int_1(k4_int_1(A, k5_numbers))) ) ) ).
fof(fc2_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v8_ordinal1(k5_int_1(A, k5_numbers)) & v1_int_1(k5_int_1(A, k5_numbers))) ) ) ).
fof(fc3_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v8_ordinal1(k4_int_1(k5_numbers, A)) & v1_int_1(k4_int_1(k5_numbers, A))) ) ) ).
fof(fc4_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v8_ordinal1(k5_int_1(k5_numbers, A)) & v1_int_1(k5_int_1(k5_numbers, A))) ) ) ).
fof(fc5_real_3, axiom,  (! [A] :  (v1_xcmplx_0(A) => v8_ordinal1(k6_xcmplx_0(A, A))) ) ).
fof(fc6_real_3, axiom,  (! [A] :  (v1_xcmplx_0(A) => v8_ordinal1(k7_xcmplx_0(A, k5_numbers))) ) ).
fof(fc7_real_3, axiom,  (v8_ordinal1(k1_int_1(k5_numbers)) & v1_int_1(k1_int_1(k5_numbers))) ).
fof(rc1_real_3, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k1_numbers) &  (v5_relat_1(A, k4_numbers) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v1_valued_0(A) &  (v2_valued_0(A) & v3_valued_0(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_real_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  ( ~ (r1_xxreal_0(1, A))  & r1_xxreal_0(k7_xcmplx_0(1, A), 1)) ) ) ) ) ).
fof(t2_real_3, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) =>  (r1_xxreal_0(k2_xcmplx_0(A, 1), B) | k1_int_1(B)=A) ) ) ) ) ) ).
fof(t3_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k1_int_1(k7_xcmplx_0(B, A))=k3_nat_d(B, A)) ) ) ) ).
fof(t4_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (k4_nat_d(B, A)=k5_numbers => k7_xcmplx_0(B, A)=k3_nat_d(B, A)) ) ) ) ) ).
fof(t5_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (k7_xcmplx_0(B, A)=k3_nat_d(B, A) => k4_nat_d(B, A)=k5_numbers) ) ) ) ) ).
fof(t6_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k3_int_1(k7_xcmplx_0(B, A))=k7_xcmplx_0(k4_nat_d(B, A), A)) ) ) ) ).
fof(t7_real_3, axiom,  (! [A] :  (v1_rat_1(A) =>  ~ ( (r1_xxreal_0(k5_numbers, A) &  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (C=k5_numbers)  & A=k7_xcmplx_0(B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t8_real_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  ( (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  <=>  (k9_xtuple_0(A)=k4_ordinal1 &  (! [B] :  (r2_hidden(B, k4_ordinal1) => v1_int_1(k1_funct_1(A, B))) ) ) ) ) ) ).
fof(t9_real_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_numbers)))) )  <=>  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ) ) ).
fof(t10_real_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  <=>  (k9_xtuple_0(A)=k4_ordinal1 &  (! [B] :  (r2_hidden(B, k4_ordinal1) => v7_ordinal1(k1_funct_1(A, B))) ) ) ) ) ) ).
fof(t11_real_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  <=>  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) ) ) ) ).
fof(d1_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  =>  (C=k1_real_3(A, B) <=>  (k8_nat_1(k4_ordinal1, C, k5_numbers)=k4_nat_d(A, B) &  (k8_nat_1(k4_ordinal1, C, 1)=k4_nat_d(B, k4_nat_d(A, B)) &  (! [D] :  (v7_ordinal1(D) => k8_nat_1(k4_ordinal1, C, k1_nat_1(D, 2))=k4_nat_d(k8_nat_1(k4_ordinal1, C, D), k8_nat_1(k4_ordinal1, C, k1_nat_1(D, 1)))) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_ordinal1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  =>  (C=k2_real_3(A, B) <=>  (k8_nat_1(k4_ordinal1, C, k5_numbers)=k3_nat_d(A, B) &  (k8_nat_1(k4_ordinal1, C, 1)=k3_nat_d(B, k4_nat_d(A, B)) &  (! [D] :  (v7_ordinal1(D) => k8_nat_1(k4_ordinal1, C, k1_nat_1(D, 2))=k3_nat_d(k8_nat_1(k4_ordinal1, k1_real_3(A, B), D), k8_nat_1(k4_ordinal1, k1_real_3(A, B), k1_nat_1(D, 1)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k8_nat_1(k4_ordinal1, k2_real_3(B, A), 1)=k3_nat_d(A, k8_nat_1(k4_ordinal1, k1_real_3(B, A), k5_numbers))) ) ) ) ).
fof(t13_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k8_nat_1(k4_ordinal1, k1_real_3(B, A), 1)=k4_nat_d(A, k8_nat_1(k4_ordinal1, k1_real_3(B, A), k5_numbers))) ) ) ) ).
fof(t14_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(A, B) & k8_nat_1(k4_ordinal1, k1_real_3(D, C), A)=k5_numbers)  => k8_nat_1(k4_ordinal1, k1_real_3(D, C), B)=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(t15_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  (r1_xxreal_0(k8_nat_1(k4_ordinal1, k1_real_3(D, C), A), k8_nat_1(k4_ordinal1, k1_real_3(D, C), B)) &  ~ (k8_nat_1(k4_ordinal1, k1_real_3(D, C), A)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (k8_nat_1(k4_ordinal1, k2_real_3(C, B), k1_nat_1(A, 1))=k5_numbers => k8_nat_1(k4_ordinal1, k1_real_3(C, B), A)=k5_numbers) ) ) ) ) ) ) ).
fof(t17_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(A, B) & k8_nat_1(k4_ordinal1, k2_real_3(D, C), A)=k5_numbers)  =>  (A=k5_numbers | k8_nat_1(k4_ordinal1, k2_real_3(D, C), B)=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t18_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (k8_nat_1(k4_ordinal1, k1_real_3(D, C), A)=k5_numbers =>  (r1_xxreal_0(B, A) | k8_nat_1(k4_ordinal1, k2_real_3(D, C), B)=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t19_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (A=k5_numbers)  => B=k1_nat_1(k3_xcmplx_0(k8_nat_1(k4_ordinal1, k2_real_3(B, A), k5_numbers), A), k8_nat_1(k4_ordinal1, k1_real_3(B, A), k5_numbers))) ) ) ) ) ).
fof(t20_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (A=k5_numbers)  => k7_xcmplx_0(B, A)=k2_xcmplx_0(k8_nat_1(k4_ordinal1, k2_real_3(B, A), k5_numbers), k7_xcmplx_0(1, k7_xcmplx_0(A, k8_nat_1(k4_ordinal1, k1_real_3(B, A), k5_numbers))))) ) ) ) ) ).
fof(t21_real_3, axiom,  (! [A] :  (v7_ordinal1(A) => r2_funct_2(k4_ordinal1, k4_ordinal1, k2_real_3(A, k5_numbers), k8_funcop_1(k4_ordinal1, k4_ordinal1, k5_numbers))) ) ).
fof(t22_real_3, axiom,  (! [A] :  (v7_ordinal1(A) => r2_funct_2(k4_ordinal1, k4_ordinal1, k1_real_3(A, k5_numbers), k8_funcop_1(k4_ordinal1, k4_ordinal1, k5_numbers))) ) ).
fof(t23_real_3, axiom,  (! [A] :  (v7_ordinal1(A) => r2_funct_2(k4_ordinal1, k4_ordinal1, k2_real_3(k5_numbers, A), k8_funcop_1(k4_ordinal1, k4_ordinal1, k5_numbers))) ) ).
fof(t24_real_3, axiom,  (! [A] :  (v7_ordinal1(A) => r2_funct_2(k4_ordinal1, k4_ordinal1, k1_real_3(k5_numbers, A), k8_funcop_1(k4_ordinal1, k4_ordinal1, k5_numbers))) ) ).
fof(t25_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (? [C] :  (v7_ordinal1(C) &  (k8_nat_1(k4_ordinal1, k2_real_3(B, A), C)=k5_numbers & k8_nat_1(k4_ordinal1, k1_real_3(B, A), C)=k5_numbers) ) ) ) ) ) ) ).
fof(d3_real_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (B=k3_real_3(A) <=>  (k8_nat_1(k1_numbers, B, k5_numbers)=A &  (! [C] :  (v7_ordinal1(C) => k8_nat_1(k1_numbers, B, k1_nat_1(C, 1))=k7_xcmplx_0(1, k3_int_1(k8_nat_1(k1_numbers, B, C)))) ) ) ) ) ) ) ) ).
fof(d4_real_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v5_relat_1(B, k4_numbers) &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (B=k4_real_3(A) <=>  (! [C] :  (v7_ordinal1(C) => k8_nat_1(k1_numbers, B, C)=k1_int_1(k8_nat_1(k1_numbers, k3_real_3(A), C))) ) ) ) ) ) ) ).
fof(t26_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) => k8_nat_1(k1_numbers, k3_real_3(B), k1_nat_1(A, 1))=k7_xcmplx_0(1, k5_real_1(k8_nat_1(k1_numbers, k3_real_3(B), A), k8_nat_1(k1_numbers, k4_real_3(B), A)))) ) ) ) ).
fof(t27_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (k8_nat_1(k1_numbers, k3_real_3(C), A)=k5_numbers & r1_xxreal_0(A, B))  => k8_nat_1(k1_numbers, k3_real_3(C), B)=k5_numbers) ) ) ) ) ) ) ).
fof(t28_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (k8_nat_1(k1_numbers, k3_real_3(C), A)=k5_numbers & r1_xxreal_0(A, B))  => k8_nat_1(k1_numbers, k4_real_3(C), B)=k5_numbers) ) ) ) ) ) ) ).
fof(t29_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) => k8_nat_1(k1_numbers, k3_real_3(B), k1_nat_1(A, 1))=k5_numbers) ) ) ) ).
fof(t30_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  (k8_nat_1(k1_numbers, k4_real_3(B), k5_numbers)=B & k8_nat_1(k1_numbers, k4_real_3(B), k1_nat_1(A, 1))=k5_numbers) ) ) ) ) ).
fof(t31_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  ( ~ (r1_xxreal_0(B, 1))  =>  (k8_nat_1(k1_numbers, k3_real_3(k7_xcmplx_0(1, B)), 1)=B & k8_nat_1(k1_numbers, k3_real_3(k7_xcmplx_0(1, B)), k1_nat_1(A, 2))=k5_numbers) ) ) ) ) ) ).
fof(t32_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  ( ~ (r1_xxreal_0(B, 1))  =>  (k8_nat_1(k1_numbers, k4_real_3(k7_xcmplx_0(1, B)), k5_numbers)=k5_numbers &  (k8_nat_1(k1_numbers, k4_real_3(k7_xcmplx_0(1, B)), 1)=B & k8_nat_1(k1_numbers, k4_real_3(k7_xcmplx_0(1, B)), k1_nat_1(A, 2))=k5_numbers) ) ) ) ) ) ) ).
fof(t33_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (! [C] :  (v7_ordinal1(C) => k8_nat_1(k1_numbers, k4_real_3(B), C)=k5_numbers) )  => k8_nat_1(k1_numbers, k3_real_3(B), A)=k5_numbers) ) ) ) ) ).
fof(t34_real_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( (! [B] :  (v7_ordinal1(B) => k8_nat_1(k1_numbers, k4_real_3(A), B)=k5_numbers) )  => A=k5_numbers) ) ) ).
fof(t35_real_3, axiom,  (! [A] :  (v1_xreal_0(A) => k3_int_1(A)=k6_xcmplx_0(A, k8_nat_1(k1_numbers, k4_real_3(A), k5_numbers))) ) ).
fof(t36_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) => k8_nat_1(k1_numbers, k3_real_3(B), k1_nat_1(A, 1))=k8_nat_1(k1_numbers, k3_real_3(k7_xcmplx_0(1, k3_int_1(B))), A)) ) ) ) ).
fof(t37_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) => k8_nat_1(k1_numbers, k4_real_3(B), k1_nat_1(A, 1))=k8_nat_1(k1_numbers, k4_real_3(k7_xcmplx_0(1, k3_int_1(B))), A)) ) ) ) ).
fof(t38_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(1, A) => r1_xxreal_0(k5_numbers, k8_nat_1(k1_numbers, k4_real_3(B), A))) ) ) ) ) ).
fof(t39_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(1, A) => r2_tarski(k8_nat_1(k1_numbers, k4_real_3(B), A), k4_ordinal1)) ) ) ) ) ).
fof(t40_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(1, A) =>  (k8_nat_1(k1_numbers, k4_real_3(B), A)=k5_numbers | r1_xxreal_0(1, k8_nat_1(k1_numbers, k4_real_3(B), A))) ) ) ) ) ) ).
fof(t41_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (k8_nat_1(k1_numbers, k4_real_3(k7_xcmplx_0(C, B)), A)=k8_nat_1(k4_ordinal1, k2_real_3(C, B), A) &  (k8_nat_1(k1_numbers, k3_real_3(k7_xcmplx_0(C, B)), 1)=k7_xcmplx_0(B, k8_nat_1(k4_ordinal1, k1_real_3(C, B), k5_numbers)) & k8_nat_1(k1_numbers, k3_real_3(k7_xcmplx_0(C, B)), k1_nat_1(A, 2))=k7_xcmplx_0(k8_nat_1(k4_ordinal1, k1_real_3(C, B), A), k8_nat_1(k4_ordinal1, k1_real_3(C, B), k1_nat_1(A, 1)))) ) ) ) ) ) ) ) ).
fof(t42_real_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_rat_1(A) <=>  (? [B] :  (v7_ordinal1(B) &  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(B, C) => k8_nat_1(k1_numbers, k4_real_3(A), C)=k5_numbers) ) ) ) ) ) ) ) ).
fof(t43_real_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( ( (! [B] :  (v7_ordinal1(B) =>  ~ (k8_nat_1(k1_numbers, k4_real_3(A), B)=k5_numbers) ) )  & v1_rat_1(A)) ) ) ) ).
fof(d5_real_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (B=k5_real_3(A) <=>  (k8_nat_1(k1_numbers, B, k5_numbers)=k8_nat_1(k1_numbers, k4_real_3(A), k5_numbers) &  (k8_nat_1(k1_numbers, B, 1)=k2_xcmplx_0(k4_real_1(k8_nat_1(k1_numbers, k4_real_3(A), 1), k8_nat_1(k1_numbers, k4_real_3(A), k5_numbers)), 1) &  (! [C] :  (v7_ordinal1(C) => k8_nat_1(k1_numbers, B, k1_nat_1(C, 2))=k3_real_1(k4_real_1(k8_nat_1(k1_numbers, k4_real_3(A), k1_nat_1(C, 2)), k8_nat_1(k1_numbers, B, k1_nat_1(C, 1))), k8_nat_1(k1_numbers, B, C))) ) ) ) ) ) ) ) ) ).
fof(d6_real_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (B=k6_real_3(A) <=>  (k8_nat_1(k1_numbers, B, k5_numbers)=1 &  (k8_nat_1(k1_numbers, B, 1)=k8_nat_1(k1_numbers, k4_real_3(A), 1) &  (! [C] :  (v7_ordinal1(C) => k8_nat_1(k1_numbers, B, k1_nat_1(C, 2))=k3_real_1(k4_real_1(k8_nat_1(k1_numbers, k4_real_3(A), k1_nat_1(C, 2)), k8_nat_1(k1_numbers, B, k1_nat_1(C, 1))), k8_nat_1(k1_numbers, B, C))) ) ) ) ) ) ) ) ) ).
fof(t44_real_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (r1_xxreal_0(k8_nat_1(k1_numbers, k4_real_3(A), k5_numbers), k5_numbers))  =>  (! [B] :  (v7_ordinal1(B) => r2_tarski(k8_nat_1(k1_numbers, k5_real_3(A), B), k4_ordinal1)) ) ) ) ) ).
fof(t45_real_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (r1_xxreal_0(k8_nat_1(k1_numbers, k4_real_3(A), k5_numbers), k5_numbers))  =>  (! [B] :  (v7_ordinal1(B) =>  ~ (r1_xxreal_0(k8_nat_1(k1_numbers, k5_real_3(A), B), k5_numbers)) ) ) ) ) ) ).
fof(t46_real_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (r1_xxreal_0(k8_nat_1(k1_numbers, k4_real_3(A), k5_numbers), k5_numbers))  =>  (! [B] :  (v7_ordinal1(B) =>  ~ (r1_xxreal_0(k8_nat_1(k1_numbers, k5_real_3(A), k1_nat_1(B, 2)), k4_real_1(k8_nat_1(k1_numbers, k4_real_3(A), k1_nat_1(B, 2)), k8_nat_1(k1_numbers, k5_real_3(A), k1_nat_1(B, 1))))) ) ) ) ) ) ).
fof(t47_real_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (r1_xxreal_0(k8_nat_1(k1_numbers, k4_real_3(A), k5_numbers), k5_numbers))  =>  (! [D] :  (v7_ordinal1(D) =>  ( (B=k8_nat_1(k1_numbers, k5_real_3(A), k1_nat_1(D, 1)) & C=k8_nat_1(k1_numbers, k5_real_3(A), D))  => k6_nat_d(B, C)=1) ) ) ) ) ) ) ) ) ) ).
fof(t48_real_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( (! [B] :  (v7_ordinal1(B) =>  ~ (k8_nat_1(k1_numbers, k4_real_3(A), B)=k5_numbers) ) )  =>  (r1_xxreal_0(k8_nat_1(k1_numbers, k4_real_3(A), k5_numbers), k5_numbers) |  (! [B] :  (v7_ordinal1(B) => r1_xxreal_0(k1_newton(k1_fib_num, B), k8_nat_1(k1_numbers, k5_real_3(A), B))) ) ) ) ) ) ).
fof(t49_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k8_nat_1(k1_numbers, k4_real_3(B), C), A)) )  =>  (r1_xxreal_0(k8_nat_1(k1_numbers, k4_real_3(B), k5_numbers), k5_numbers) |  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k8_nat_1(k1_numbers, k5_real_3(B), C), k1_newton(k7_xcmplx_0(k2_xcmplx_0(A, k3_square_1(k2_xcmplx_0(k1_square_1(A), 4))), 2), k1_nat_1(C, 1)))) ) ) ) ) ) ) ) ).
fof(t50_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) => r2_tarski(k8_nat_1(k1_numbers, k6_real_3(B), A), k4_ordinal1)) ) ) ) ).
fof(t51_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) => r1_xxreal_0(k5_numbers, k8_nat_1(k1_numbers, k6_real_3(B), A))) ) ) ) ).
fof(t52_real_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (r1_xxreal_0(k8_nat_1(k1_numbers, k4_real_3(A), 1), k5_numbers))  =>  (! [B] :  (v7_ordinal1(B) =>  ~ (r1_xxreal_0(k8_nat_1(k1_numbers, k6_real_3(A), B), k5_numbers)) ) ) ) ) ) ).
fof(t53_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) => r1_xxreal_0(k4_real_1(k8_nat_1(k1_numbers, k4_real_3(B), k1_nat_1(A, 2)), k8_nat_1(k1_numbers, k6_real_3(B), k1_nat_1(A, 1))), k8_nat_1(k1_numbers, k6_real_3(B), k1_nat_1(A, 2)))) ) ) ) ).
fof(t54_real_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (r1_xxreal_0(k8_nat_1(k1_numbers, k4_real_3(A), 1), k5_numbers))  =>  (! [B] :  (v7_ordinal1(B) =>  ~ (r1_xxreal_0(k8_nat_1(k1_numbers, k6_real_3(A), k1_nat_1(B, 2)), k4_real_1(k8_nat_1(k1_numbers, k4_real_3(A), k1_nat_1(B, 2)), k8_nat_1(k1_numbers, k6_real_3(A), k1_nat_1(B, 1))))) ) ) ) ) ) ).
fof(t55_real_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( (! [B] :  (v7_ordinal1(B) =>  ~ (r1_xxreal_0(k8_nat_1(k1_numbers, k4_real_3(A), B), k5_numbers)) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(1, B) & r1_xxreal_0(k7_xcmplx_0(1, k3_xcmplx_0(k8_nat_1(k1_numbers, k4_real_3(A), k1_nat_1(B, 1)), k1_square_1(k8_nat_1(k1_numbers, k6_real_3(A), B)))), k7_xcmplx_0(1, k4_real_1(k8_nat_1(k1_numbers, k6_real_3(A), B), k8_nat_1(k1_numbers, k6_real_3(A), k1_nat_1(B, 1)))))) ) ) ) ) ) ) ).
fof(t56_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k8_nat_1(k1_numbers, k4_real_3(B), C), A)) )  =>  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k8_nat_1(k1_numbers, k6_real_3(B), k1_nat_1(C, 1)), k1_newton(k7_xcmplx_0(k2_xcmplx_0(A, k3_square_1(k2_xcmplx_0(k1_square_1(A), 4))), 2), k1_nat_1(C, 1)))) ) ) ) ) ) ) ).
fof(t57_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (C=k8_nat_1(k1_numbers, k6_real_3(B), k1_nat_1(A, 1)) & D=k8_nat_1(k1_numbers, k6_real_3(B), A))  => k6_nat_d(C, D)=1) ) ) ) ) ) ) ) ) ).
fof(t58_real_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( (! [B] :  (v7_ordinal1(B) =>  ~ (r1_xxreal_0(k8_nat_1(k1_numbers, k4_real_3(A), B), k5_numbers)) ) )  =>  (! [B] :  (v7_ordinal1(B) => r1_xxreal_0(k7_xcmplx_0(1, k8_nat_1(k1_numbers, k4_real_3(A), k1_nat_1(B, 2))), k6_real_1(k8_nat_1(k1_numbers, k6_real_3(A), k1_nat_1(B, 1)), k8_nat_1(k1_numbers, k6_real_3(A), B)))) ) ) ) ) ).
fof(t59_real_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( (! [B] :  (v7_ordinal1(B) =>  ~ (r1_xxreal_0(k8_nat_1(k1_numbers, k4_real_3(A), B), k5_numbers)) ) )  =>  (! [B] :  (v7_ordinal1(B) => r1_xxreal_0(k8_nat_1(k1_numbers, k6_real_3(A), k1_nat_1(B, 2)), k3_xcmplx_0(k3_xcmplx_0(2, k8_nat_1(k1_numbers, k4_real_3(A), k1_nat_1(B, 2))), k8_nat_1(k1_numbers, k6_real_3(A), k1_nat_1(B, 1))))) ) ) ) ) ).
fof(t60_real_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( (! [B] :  (v7_ordinal1(B) =>  ~ (k8_nat_1(k1_numbers, k4_real_3(A), B)=k5_numbers) ) )  =>  (! [B] :  (v7_ordinal1(B) => r1_xxreal_0(k7_xcmplx_0(1, k3_xcmplx_0(k8_nat_1(k1_numbers, k4_real_3(A), k1_nat_1(B, 1)), k1_square_1(k8_nat_1(k1_numbers, k6_real_3(A), B)))), k7_xcmplx_0(1, k1_square_1(k8_nat_1(k1_numbers, k6_real_3(A), B))))) ) ) ) ) ).
fof(t61_real_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( (! [B] :  (v7_ordinal1(B) =>  ~ (k8_nat_1(k1_numbers, k4_real_3(A), B)=k5_numbers) ) )  =>  (! [B] :  (v7_ordinal1(B) => r1_xxreal_0(k1_newton(k1_fib_num, B), k8_nat_1(k1_numbers, k6_real_3(A), k1_nat_1(B, 1)))) ) ) ) ) ).
fof(t62_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(A, k8_nat_1(k1_numbers, k4_real_3(B), C))) )  =>  (r1_xxreal_0(A, k5_numbers) |  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k1_newton(k7_xcmplx_0(k2_xcmplx_0(A, k3_square_1(k2_xcmplx_0(k1_square_1(A), 4))), 2), C), k8_nat_1(k1_numbers, k6_real_3(B), k1_nat_1(C, 1)))) ) ) ) ) ) ) ) ).
fof(t63_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) => k6_real_1(k8_nat_1(k1_numbers, k5_real_3(B), k1_nat_1(A, 2)), k8_nat_1(k1_numbers, k6_real_3(B), k1_nat_1(A, 2)))=k6_real_1(k3_real_1(k4_real_1(k8_nat_1(k1_numbers, k4_real_3(B), k1_nat_1(A, 2)), k8_nat_1(k1_numbers, k5_real_3(B), k1_nat_1(A, 1))), k8_nat_1(k1_numbers, k5_real_3(B), A)), k3_real_1(k4_real_1(k8_nat_1(k1_numbers, k4_real_3(B), k1_nat_1(A, 2)), k8_nat_1(k1_numbers, k6_real_3(B), k1_nat_1(A, 1))), k8_nat_1(k1_numbers, k6_real_3(B), A)))) ) ) ) ).
fof(t64_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) => k5_real_1(k4_real_1(k8_nat_1(k1_numbers, k5_real_3(B), k1_nat_1(A, 1)), k8_nat_1(k1_numbers, k6_real_3(B), A)), k4_real_1(k8_nat_1(k1_numbers, k5_real_3(B), A), k8_nat_1(k1_numbers, k6_real_3(B), k1_nat_1(A, 1))))=k1_newton(k4_xcmplx_0(1), A)) ) ) ) ).
fof(t65_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (! [C] :  (v7_ordinal1(C) =>  ~ (k8_nat_1(k1_numbers, k6_real_3(B), C)=k5_numbers) ) )  => k5_real_1(k6_real_1(k8_nat_1(k1_numbers, k5_real_3(B), k1_nat_1(A, 1)), k8_nat_1(k1_numbers, k6_real_3(B), k1_nat_1(A, 1))), k6_real_1(k8_nat_1(k1_numbers, k5_real_3(B), A), k8_nat_1(k1_numbers, k6_real_3(B), A)))=k7_xcmplx_0(k1_newton(k4_xcmplx_0(1), A), k4_real_1(k8_nat_1(k1_numbers, k6_real_3(B), k1_nat_1(A, 1)), k8_nat_1(k1_numbers, k6_real_3(B), A)))) ) ) ) ) ).
fof(t66_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) => k5_real_1(k4_real_1(k8_nat_1(k1_numbers, k5_real_3(B), k1_nat_1(A, 2)), k8_nat_1(k1_numbers, k6_real_3(B), A)), k4_real_1(k8_nat_1(k1_numbers, k5_real_3(B), A), k8_nat_1(k1_numbers, k6_real_3(B), k1_nat_1(A, 2))))=k3_xcmplx_0(k1_newton(k4_xcmplx_0(1), A), k8_nat_1(k1_numbers, k4_real_3(B), k1_nat_1(A, 2)))) ) ) ) ).
fof(t67_real_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (! [C] :  (v7_ordinal1(C) =>  ~ (k8_nat_1(k1_numbers, k6_real_3(B), C)=k5_numbers) ) )  => k5_real_1(k6_real_1(k8_nat_1(k1_numbers, k5_real_3(B), k1_nat_1(A, 2)), k8_nat_1(k1_numbers, k6_real_3(B), k1_nat_1(A, 2))), k6_real_1(k8_nat_1(k1_numbers, k5_real_3(B), A), k8_nat_1(k1_numbers, k6_real_3(B), A)))=k7_xcmplx_0(k3_xcmplx_0(k1_newton(k4_xcmplx_0(1), A), k8_nat_1(k1_numbers, k4_real_3(B), k1_nat_1(A, 2))), k4_real_1(k8_nat_1(k1_numbers, k6_real_3(B), k1_nat_1(A, 2)), k8_nat_1(k1_numbers, k6_real_3(B), A)))) ) ) ) ) ).
fof(t68_real_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( (! [B] :  (v7_ordinal1(B) =>  ~ (k8_nat_1(k1_numbers, k4_real_3(A), B)=k5_numbers) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(1, B) => k6_real_1(k8_nat_1(k1_numbers, k5_real_3(A), B), k8_nat_1(k1_numbers, k6_real_3(A), B))=k7_xcmplx_0(k6_xcmplx_0(k8_nat_1(k1_numbers, k5_real_3(A), k1_nat_1(B, 1)), k1_funct_1(k5_real_3(A), k6_xcmplx_0(B, 1))), k6_xcmplx_0(k8_nat_1(k1_numbers, k6_real_3(A), k1_nat_1(B, 1)), k1_funct_1(k6_real_3(A), k6_xcmplx_0(B, 1))))) ) ) ) ) ) ).
fof(t69_real_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( (! [B] :  (v7_ordinal1(B) =>  ~ (k8_nat_1(k1_numbers, k6_real_3(A), B)=k5_numbers) ) )  =>  (! [B] :  (v7_ordinal1(B) => k9_complex1(k5_real_1(k6_real_1(k8_nat_1(k1_numbers, k5_real_3(A), k1_nat_1(B, 1)), k8_nat_1(k1_numbers, k6_real_3(A), k1_nat_1(B, 1))), k6_real_1(k8_nat_1(k1_numbers, k5_real_3(A), B), k8_nat_1(k1_numbers, k6_real_3(A), B))))=k7_xcmplx_0(1, k9_complex1(k4_real_1(k8_nat_1(k1_numbers, k6_real_3(A), k1_nat_1(B, 1)), k8_nat_1(k1_numbers, k6_real_3(A), B))))) ) ) ) ) ).
fof(t70_real_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (r1_xxreal_0(k8_nat_1(k1_numbers, k4_real_3(A), 1), k5_numbers))  =>  (! [B] :  (v7_ordinal1(B) =>  ~ (r1_xxreal_0(k6_real_1(k8_nat_1(k1_numbers, k5_real_3(A), k1_nat_1(k3_xcmplx_0(2, B), 1)), k8_nat_1(k1_numbers, k6_real_3(A), k1_nat_1(k3_xcmplx_0(2, B), 1))), k6_real_1(k8_nat_1(k1_numbers, k5_real_3(A), k3_xcmplx_0(2, B)), k8_nat_1(k1_numbers, k6_real_3(A), k3_xcmplx_0(2, B))))) ) ) ) ) ) ).
fof(d7_real_3, axiom,  (! [A] :  (v1_xreal_0(A) => k7_real_3(A)=k52_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k5_real_3(A), k6_real_3(A))) ) ).
fof(t71_real_3, axiom,  (! [A] :  (v1_xreal_0(A) => k8_nat_1(k1_numbers, k7_real_3(A), k5_numbers)=k8_nat_1(k1_numbers, k4_real_3(A), k5_numbers)) ) ).
fof(t72_real_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (k8_nat_1(k1_numbers, k4_real_3(A), 1)=k5_numbers)  => k8_nat_1(k1_numbers, k7_real_3(A), 1)=k2_xcmplx_0(k8_nat_1(k1_numbers, k4_real_3(A), k5_numbers), k7_xcmplx_0(1, k8_nat_1(k1_numbers, k4_real_3(A), 1)))) ) ) ).
fof(t73_real_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( (! [B] :  (v7_ordinal1(B) =>  ~ (r1_xxreal_0(k8_nat_1(k1_numbers, k4_real_3(A), B), k5_numbers)) ) )  => k8_nat_1(k1_numbers, k7_real_3(A), 2)=k2_xcmplx_0(k8_nat_1(k1_numbers, k4_real_3(A), k5_numbers), k7_xcmplx_0(1, k2_xcmplx_0(k8_nat_1(k1_numbers, k4_real_3(A), 1), k7_xcmplx_0(1, k8_nat_1(k1_numbers, k4_real_3(A), 2)))))) ) ) ).
fof(t74_real_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( (! [B] :  (v7_ordinal1(B) =>  ~ (r1_xxreal_0(k8_nat_1(k1_numbers, k4_real_3(A), B), k5_numbers)) ) )  => k8_nat_1(k1_numbers, k7_real_3(A), 3)=k2_xcmplx_0(k8_nat_1(k1_numbers, k4_real_3(A), k5_numbers), k7_xcmplx_0(1, k2_xcmplx_0(k8_nat_1(k1_numbers, k4_real_3(A), 1), k7_xcmplx_0(1, k2_xcmplx_0(k8_nat_1(k1_numbers, k4_real_3(A), 2), k7_xcmplx_0(1, k8_nat_1(k1_numbers, k4_real_3(A), 3)))))))) ) ) ).
fof(t75_real_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( (! [B] :  (v7_ordinal1(B) =>  ~ (r1_xxreal_0(k8_nat_1(k1_numbers, k4_real_3(A), B), k5_numbers)) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(1, B) & r1_xxreal_0(k7_xcmplx_0(k1_funct_1(k5_real_3(A), k6_xcmplx_0(k3_xcmplx_0(2, B), 1)), k1_funct_1(k6_real_3(A), k6_xcmplx_0(k3_xcmplx_0(2, B), 1))), k6_real_1(k8_nat_1(k1_numbers, k5_real_3(A), k1_nat_1(k3_xcmplx_0(2, B), 1)), k8_nat_1(k1_numbers, k6_real_3(A), k1_nat_1(k3_xcmplx_0(2, B), 1))))) ) ) ) ) ) ) ).
fof(t76_real_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( (! [B] :  (v7_ordinal1(B) =>  ~ (r1_xxreal_0(k8_nat_1(k1_numbers, k4_real_3(A), B), k5_numbers)) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(1, B) & r1_xxreal_0(k6_real_1(k8_nat_1(k1_numbers, k5_real_3(A), k3_xcmplx_0(2, B)), k8_nat_1(k1_numbers, k6_real_3(A), k3_xcmplx_0(2, B))), k7_xcmplx_0(k1_funct_1(k5_real_3(A), k6_xcmplx_0(k3_xcmplx_0(2, B), 2)), k1_funct_1(k6_real_3(A), k6_xcmplx_0(k3_xcmplx_0(2, B), 2))))) ) ) ) ) ) ) ).
fof(t77_real_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( (! [B] :  (v7_ordinal1(B) =>  ~ (r1_xxreal_0(k8_nat_1(k1_numbers, k4_real_3(A), B), k5_numbers)) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(1, B) & r1_xxreal_0(k7_xcmplx_0(k1_funct_1(k5_real_3(A), k6_xcmplx_0(k3_xcmplx_0(2, B), 1)), k1_funct_1(k6_real_3(A), k6_xcmplx_0(k3_xcmplx_0(2, B), 1))), k6_real_1(k8_nat_1(k1_numbers, k5_real_3(A), k3_xcmplx_0(2, B)), k8_nat_1(k1_numbers, k6_real_3(A), k3_xcmplx_0(2, B))))) ) ) ) ) ) ) ).
fof(d8_real_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (B=k8_real_3(A) <=>  (k8_nat_1(k1_numbers, B, k5_numbers)=k8_nat_1(k1_numbers, k4_real_3(A), k5_numbers) &  (! [C] :  (v7_ordinal1(C) => k8_nat_1(k1_numbers, B, k1_nat_1(C, 1))=k2_xcmplx_0(k7_xcmplx_0(1, k8_nat_1(k1_numbers, B, C)), k8_nat_1(k1_numbers, k4_real_3(A), k1_nat_1(C, 1)))) ) ) ) ) ) ) ) ).
fof(t78_real_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (r1_xxreal_0(k8_nat_1(k1_numbers, k4_real_3(A), k5_numbers), k5_numbers))  =>  (! [B] :  (v7_ordinal1(B) => k8_nat_1(k1_numbers, k8_real_3(A), k1_nat_1(B, 1))=k6_real_1(k8_nat_1(k1_numbers, k5_real_3(A), k1_nat_1(B, 1)), k8_nat_1(k1_numbers, k5_real_3(A), B))) ) ) ) ) ).
fof(dt_k1_real_3, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  =>  (v1_funct_1(k1_real_3(A, B)) &  (v1_funct_2(k1_real_3(A, B), k4_ordinal1, k4_ordinal1) & m1_subset_1(k1_real_3(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) ) ) ).
fof(dt_k2_real_3, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  =>  (v1_funct_1(k2_real_3(A, B)) &  (v1_funct_2(k2_real_3(A, B), k4_ordinal1, k4_ordinal1) & m1_subset_1(k2_real_3(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) ) ) ).
fof(dt_k3_real_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_funct_1(k3_real_3(A)) &  (v1_funct_2(k3_real_3(A), k4_ordinal1, k1_numbers) & m1_subset_1(k3_real_3(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k4_real_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v5_relat_1(k4_real_3(A), k4_numbers) &  (v1_funct_1(k4_real_3(A)) &  (v1_funct_2(k4_real_3(A), k4_ordinal1, k1_numbers) & m1_subset_1(k4_real_3(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ) ).
fof(dt_k5_real_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_funct_1(k5_real_3(A)) &  (v1_funct_2(k5_real_3(A), k4_ordinal1, k1_numbers) & m1_subset_1(k5_real_3(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k6_real_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_funct_1(k6_real_3(A)) &  (v1_funct_2(k6_real_3(A), k4_ordinal1, k1_numbers) & m1_subset_1(k6_real_3(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k7_real_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_funct_1(k7_real_3(A)) &  (v1_funct_2(k7_real_3(A), k4_ordinal1, k1_numbers) & m1_subset_1(k7_real_3(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k8_real_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_funct_1(k8_real_3(A)) &  (v1_funct_2(k8_real_3(A), k4_ordinal1, k1_numbers) & m1_subset_1(k8_real_3(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(fc1_real_lat, axiom, v3_membered(u1_struct_0(k3_real_lat))).
fof(fc2_real_lat, axiom,  ( ~ (v2_struct_0(k3_real_lat))  & v3_lattices(k3_real_lat)) ).
fof(ie1_real_lat, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k3_real_lat)) & m1_subset_1(B, u1_struct_0(k3_real_lat)))  => k1_lattices(k3_real_lat, A, B)=k4_xxreal_0(A, B)) ) ).
fof(ie2_real_lat, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k3_real_lat)) & m1_subset_1(B, u1_struct_0(k3_real_lat)))  => k2_lattices(k3_real_lat, A, B)=k3_xxreal_0(A, B)) ) ).
fof(fc3_real_lat, axiom,  (v3_lattices(k3_real_lat) & v10_lattices(k3_real_lat)) ).
fof(fc4_real_lat, axiom,  (v3_lattices(k3_real_lat) & v11_lattices(k3_real_lat)) ).
fof(fc5_real_lat, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k6_real_lat(A)))  &  (v4_lattices(k6_real_lat(A)) &  (v5_lattices(k6_real_lat(A)) &  (v6_lattices(k6_real_lat(A)) &  (v7_lattices(k6_real_lat(A)) &  (v8_lattices(k6_real_lat(A)) & v9_lattices(k6_real_lat(A))) ) ) ) ) ) ) ) ).
fof(d1_real_lat, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers)))) )  =>  (A=k1_real_lat <=>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) => k1_binop_1(A, B, C)=k3_xxreal_0(B, C)) ) ) ) ) ) ) ).
fof(d2_real_lat, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers)))) )  =>  (A=k2_real_lat <=>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) => k1_binop_1(A, B, C)=k4_xxreal_0(B, C)) ) ) ) ) ) ) ).
fof(d3_real_lat, axiom, k3_real_lat=g3_lattices(k1_numbers, k2_real_lat, k1_real_lat)).
fof(t1_real_lat, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k3_real_lat)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_real_lat)) => k1_binop_1(k2_real_lat, A, B)=k1_binop_1(k2_real_lat, B, A)) ) ) ) ).
fof(t2_real_lat, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k3_real_lat)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_real_lat)) => k1_binop_1(k1_real_lat, A, B)=k1_binop_1(k1_real_lat, B, A)) ) ) ) ).
fof(t3_real_lat, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k3_real_lat)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_real_lat)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_real_lat)) =>  (k1_binop_1(k2_real_lat, A, k1_binop_1(k2_real_lat, B, C))=k1_binop_1(k2_real_lat, k1_binop_1(k2_real_lat, B, C), A) &  (k1_binop_1(k2_real_lat, A, k1_binop_1(k2_real_lat, B, C))=k1_binop_1(k2_real_lat, k1_binop_1(k2_real_lat, A, B), C) &  (k1_binop_1(k2_real_lat, A, k1_binop_1(k2_real_lat, B, C))=k1_binop_1(k2_real_lat, k1_binop_1(k2_real_lat, B, A), C) &  (k1_binop_1(k2_real_lat, A, k1_binop_1(k2_real_lat, B, C))=k1_binop_1(k2_real_lat, k1_binop_1(k2_real_lat, C, A), B) &  (k1_binop_1(k2_real_lat, A, k1_binop_1(k2_real_lat, B, C))=k1_binop_1(k2_real_lat, k1_binop_1(k2_real_lat, C, B), A) & k1_binop_1(k2_real_lat, A, k1_binop_1(k2_real_lat, B, C))=k1_binop_1(k2_real_lat, k1_binop_1(k2_real_lat, A, C), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_real_lat, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k3_real_lat)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_real_lat)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_real_lat)) =>  (k1_binop_1(k1_real_lat, A, k1_binop_1(k1_real_lat, B, C))=k1_binop_1(k1_real_lat, k1_binop_1(k1_real_lat, B, C), A) &  (k1_binop_1(k1_real_lat, A, k1_binop_1(k1_real_lat, B, C))=k1_binop_1(k1_real_lat, k1_binop_1(k1_real_lat, A, B), C) &  (k1_binop_1(k1_real_lat, A, k1_binop_1(k1_real_lat, B, C))=k1_binop_1(k1_real_lat, k1_binop_1(k1_real_lat, B, A), C) &  (k1_binop_1(k1_real_lat, A, k1_binop_1(k1_real_lat, B, C))=k1_binop_1(k1_real_lat, k1_binop_1(k1_real_lat, C, A), B) &  (k1_binop_1(k1_real_lat, A, k1_binop_1(k1_real_lat, B, C))=k1_binop_1(k1_real_lat, k1_binop_1(k1_real_lat, C, B), A) & k1_binop_1(k1_real_lat, A, k1_binop_1(k1_real_lat, B, C))=k1_binop_1(k1_real_lat, k1_binop_1(k1_real_lat, A, C), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_real_lat, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k3_real_lat)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_real_lat)) =>  (k1_binop_1(k2_real_lat, k1_binop_1(k1_real_lat, A, B), B)=B &  (k1_binop_1(k2_real_lat, B, k1_binop_1(k1_real_lat, A, B))=B &  (k1_binop_1(k2_real_lat, B, k1_binop_1(k1_real_lat, B, A))=B & k1_binop_1(k2_real_lat, k1_binop_1(k1_real_lat, B, A), B)=B) ) ) ) ) ) ) ).
fof(t6_real_lat, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k3_real_lat)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_real_lat)) =>  (k1_binop_1(k1_real_lat, B, k1_binop_1(k2_real_lat, B, A))=B &  (k1_binop_1(k1_real_lat, k1_binop_1(k2_real_lat, A, B), B)=B &  (k1_binop_1(k1_real_lat, B, k1_binop_1(k2_real_lat, A, B))=B & k1_binop_1(k1_real_lat, k1_binop_1(k2_real_lat, B, A), B)=B) ) ) ) ) ) ) ).
fof(t7_real_lat, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k3_real_lat)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_real_lat)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_real_lat)) => k1_binop_1(k1_real_lat, B, k1_binop_1(k2_real_lat, A, C))=k1_binop_1(k2_real_lat, k1_binop_1(k1_real_lat, B, A), k1_binop_1(k1_real_lat, B, C))) ) ) ) ) ) ).
fof(d4_real_lat, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k9_funct_2(A, k1_numbers), k9_funct_2(A, k1_numbers)), k9_funct_2(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, k1_numbers), k9_funct_2(A, k1_numbers)), k9_funct_2(A, k1_numbers))))) )  =>  (B=k4_real_lat(A) <=>  (! [C] :  (m2_funct_2(C, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [D] :  (m2_funct_2(D, A, k1_numbers, k9_funct_2(A, k1_numbers)) => r2_funct_2(A, k1_numbers, k1_funcsdom(A, k1_numbers, B, C, D), k3_funcsdom(k1_numbers, A, k2_real_lat, C, D))) ) ) ) ) ) ) ) ) ).
fof(d5_real_lat, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k9_funct_2(A, k1_numbers), k9_funct_2(A, k1_numbers)), k9_funct_2(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, k1_numbers), k9_funct_2(A, k1_numbers)), k9_funct_2(A, k1_numbers))))) )  =>  (B=k5_real_lat(A) <=>  (! [C] :  (m2_funct_2(C, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [D] :  (m2_funct_2(D, A, k1_numbers, k9_funct_2(A, k1_numbers)) => r2_funct_2(A, k1_numbers, k1_funcsdom(A, k1_numbers, B, C, D), k3_funcsdom(k1_numbers, A, k1_real_lat, C, D))) ) ) ) ) ) ) ) ) ).
fof(t8_real_lat, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k1_numbers, k9_funct_2(A, k1_numbers)) => r2_funct_2(A, k1_numbers, k1_funcsdom(A, k1_numbers, k4_real_lat(A), B, C), k1_funcsdom(A, k1_numbers, k4_real_lat(A), C, B))) ) ) ) ) ) ).
fof(t9_real_lat, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k1_numbers, k9_funct_2(A, k1_numbers)) => r2_funct_2(A, k1_numbers, k1_funcsdom(A, k1_numbers, k5_real_lat(A), B, C), k1_funcsdom(A, k1_numbers, k5_real_lat(A), C, B))) ) ) ) ) ) ).
fof(t10_real_lat, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [D] :  (m2_funct_2(D, A, k1_numbers, k9_funct_2(A, k1_numbers)) => r2_funct_2(A, k1_numbers, k1_funcsdom(A, k1_numbers, k4_real_lat(A), k1_funcsdom(A, k1_numbers, k4_real_lat(A), B, C), D), k1_funcsdom(A, k1_numbers, k4_real_lat(A), B, k1_funcsdom(A, k1_numbers, k4_real_lat(A), C, D)))) ) ) ) ) ) ) ) ).
fof(t11_real_lat, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [D] :  (m2_funct_2(D, A, k1_numbers, k9_funct_2(A, k1_numbers)) => r2_funct_2(A, k1_numbers, k1_funcsdom(A, k1_numbers, k5_real_lat(A), k1_funcsdom(A, k1_numbers, k5_real_lat(A), B, C), D), k1_funcsdom(A, k1_numbers, k5_real_lat(A), B, k1_funcsdom(A, k1_numbers, k5_real_lat(A), C, D)))) ) ) ) ) ) ) ) ).
fof(t12_real_lat, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k1_numbers, k9_funct_2(A, k1_numbers)) => r2_funct_2(A, k1_numbers, k1_funcsdom(A, k1_numbers, k4_real_lat(A), B, k1_funcsdom(A, k1_numbers, k5_real_lat(A), B, C)), B)) ) ) ) ) ) ).
fof(t13_real_lat, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k1_numbers, k9_funct_2(A, k1_numbers)) => r2_funct_2(A, k1_numbers, k1_funcsdom(A, k1_numbers, k4_real_lat(A), k1_funcsdom(A, k1_numbers, k5_real_lat(A), B, C), B), B)) ) ) ) ) ) ).
fof(t14_real_lat, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k1_numbers, k9_funct_2(A, k1_numbers)) => r2_funct_2(A, k1_numbers, k1_funcsdom(A, k1_numbers, k4_real_lat(A), k1_funcsdom(A, k1_numbers, k5_real_lat(A), C, B), B), B)) ) ) ) ) ) ).
fof(t15_real_lat, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k1_numbers, k9_funct_2(A, k1_numbers)) => r2_funct_2(A, k1_numbers, k1_funcsdom(A, k1_numbers, k4_real_lat(A), B, k1_funcsdom(A, k1_numbers, k5_real_lat(A), C, B)), B)) ) ) ) ) ) ).
fof(t16_real_lat, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k1_numbers, k9_funct_2(A, k1_numbers)) => r2_funct_2(A, k1_numbers, k1_funcsdom(A, k1_numbers, k5_real_lat(A), B, k1_funcsdom(A, k1_numbers, k4_real_lat(A), B, C)), B)) ) ) ) ) ) ).
fof(t17_real_lat, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k1_numbers, k9_funct_2(A, k1_numbers)) => r2_funct_2(A, k1_numbers, k1_funcsdom(A, k1_numbers, k5_real_lat(A), B, k1_funcsdom(A, k1_numbers, k4_real_lat(A), C, B)), B)) ) ) ) ) ) ).
fof(t18_real_lat, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k1_numbers, k9_funct_2(A, k1_numbers)) => r2_funct_2(A, k1_numbers, k1_funcsdom(A, k1_numbers, k5_real_lat(A), k1_funcsdom(A, k1_numbers, k4_real_lat(A), C, B), B), B)) ) ) ) ) ) ).
fof(t19_real_lat, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k1_numbers, k9_funct_2(A, k1_numbers)) => r2_funct_2(A, k1_numbers, k1_funcsdom(A, k1_numbers, k5_real_lat(A), k1_funcsdom(A, k1_numbers, k4_real_lat(A), B, C), B), B)) ) ) ) ) ) ).
fof(t20_real_lat, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k1_numbers, k9_funct_2(A, k1_numbers)) =>  (! [D] :  (m2_funct_2(D, A, k1_numbers, k9_funct_2(A, k1_numbers)) => r2_funct_2(A, k1_numbers, k1_funcsdom(A, k1_numbers, k5_real_lat(A), B, k1_funcsdom(A, k1_numbers, k4_real_lat(A), C, D)), k1_funcsdom(A, k1_numbers, k4_real_lat(A), k1_funcsdom(A, k1_numbers, k5_real_lat(A), B, C), k1_funcsdom(A, k1_numbers, k5_real_lat(A), B, D)))) ) ) ) ) ) ) ) ).
fof(d6_real_lat, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k6_real_lat(A)=g3_lattices(k9_funct_2(A, k1_numbers), k4_real_lat(A), k5_real_lat(A))) ) ).
fof(t21_real_lat, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k6_real_lat(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k6_real_lat(A))) => k1_binop_1(k4_real_lat(A), B, C)=k1_binop_1(k4_real_lat(A), C, B)) ) ) ) ) ) ).
fof(t22_real_lat, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k6_real_lat(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k6_real_lat(A))) => k1_binop_1(k5_real_lat(A), B, C)=k1_binop_1(k5_real_lat(A), C, B)) ) ) ) ) ) ).
fof(t23_real_lat, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k6_real_lat(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k6_real_lat(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k6_real_lat(A))) =>  (k1_binop_1(k4_real_lat(A), B, k1_binop_1(k4_real_lat(A), C, D))=k1_binop_1(k4_real_lat(A), k1_binop_1(k4_real_lat(A), C, D), B) &  (k1_binop_1(k4_real_lat(A), B, k1_binop_1(k4_real_lat(A), C, D))=k1_binop_1(k4_real_lat(A), k1_binop_1(k4_real_lat(A), B, C), D) &  (k1_binop_1(k4_real_lat(A), B, k1_binop_1(k4_real_lat(A), C, D))=k1_binop_1(k4_real_lat(A), k1_binop_1(k4_real_lat(A), C, B), D) &  (k1_binop_1(k4_real_lat(A), B, k1_binop_1(k4_real_lat(A), C, D))=k1_binop_1(k4_real_lat(A), k1_binop_1(k4_real_lat(A), D, B), C) &  (k1_binop_1(k4_real_lat(A), B, k1_binop_1(k4_real_lat(A), C, D))=k1_binop_1(k4_real_lat(A), k1_binop_1(k4_real_lat(A), D, C), B) & k1_binop_1(k4_real_lat(A), B, k1_binop_1(k4_real_lat(A), C, D))=k1_binop_1(k4_real_lat(A), k1_binop_1(k4_real_lat(A), B, D), C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_real_lat, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k6_real_lat(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k6_real_lat(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k6_real_lat(A))) =>  (k1_binop_1(k5_real_lat(A), B, k1_binop_1(k5_real_lat(A), C, D))=k1_binop_1(k5_real_lat(A), k1_binop_1(k5_real_lat(A), C, D), B) &  (k1_binop_1(k5_real_lat(A), B, k1_binop_1(k5_real_lat(A), C, D))=k1_binop_1(k5_real_lat(A), k1_binop_1(k5_real_lat(A), B, C), D) &  (k1_binop_1(k5_real_lat(A), B, k1_binop_1(k5_real_lat(A), C, D))=k1_binop_1(k5_real_lat(A), k1_binop_1(k5_real_lat(A), C, B), D) &  (k1_binop_1(k5_real_lat(A), B, k1_binop_1(k5_real_lat(A), C, D))=k1_binop_1(k5_real_lat(A), k1_binop_1(k5_real_lat(A), D, B), C) &  (k1_binop_1(k5_real_lat(A), B, k1_binop_1(k5_real_lat(A), C, D))=k1_binop_1(k5_real_lat(A), k1_binop_1(k5_real_lat(A), D, C), B) & k1_binop_1(k5_real_lat(A), B, k1_binop_1(k5_real_lat(A), C, D))=k1_binop_1(k5_real_lat(A), k1_binop_1(k5_real_lat(A), B, D), C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_real_lat, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k6_real_lat(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k6_real_lat(A))) =>  (k1_binop_1(k4_real_lat(A), k1_binop_1(k5_real_lat(A), B, C), C)=C &  (k1_binop_1(k4_real_lat(A), C, k1_binop_1(k5_real_lat(A), B, C))=C &  (k1_binop_1(k4_real_lat(A), C, k1_binop_1(k5_real_lat(A), C, B))=C & k1_binop_1(k4_real_lat(A), k1_binop_1(k5_real_lat(A), C, B), C)=C) ) ) ) ) ) ) ) ) ).
fof(t26_real_lat, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k6_real_lat(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k6_real_lat(A))) =>  (k1_binop_1(k5_real_lat(A), C, k1_binop_1(k4_real_lat(A), C, B))=C &  (k1_binop_1(k5_real_lat(A), k1_binop_1(k4_real_lat(A), B, C), C)=C &  (k1_binop_1(k5_real_lat(A), C, k1_binop_1(k4_real_lat(A), B, C))=C & k1_binop_1(k5_real_lat(A), k1_binop_1(k4_real_lat(A), C, B), C)=C) ) ) ) ) ) ) ) ) ).
fof(t27_real_lat, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k6_real_lat(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k6_real_lat(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k6_real_lat(A))) => k1_binop_1(k5_real_lat(A), C, k1_binop_1(k4_real_lat(A), B, D))=k1_binop_1(k4_real_lat(A), k1_binop_1(k5_real_lat(A), C, B), k1_binop_1(k5_real_lat(A), C, D))) ) ) ) ) ) ) ) ).
fof(t28_real_lat, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k6_real_lat(A)))  &  (v10_lattices(k6_real_lat(A)) &  (v11_lattices(k6_real_lat(A)) & l3_lattices(k6_real_lat(A))) ) ) ) ) ).
fof(dt_k1_real_lat, axiom,  (v1_funct_1(k1_real_lat) &  (v1_funct_2(k1_real_lat, k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers) & m1_subset_1(k1_real_lat, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers)))) ) ).
fof(dt_k2_real_lat, axiom,  (v1_funct_1(k2_real_lat) &  (v1_funct_2(k2_real_lat, k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers) & m1_subset_1(k2_real_lat, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers)))) ) ).
fof(dt_k3_real_lat, axiom,  (v3_lattices(k3_real_lat) & l3_lattices(k3_real_lat)) ).
fof(dt_k4_real_lat, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k4_real_lat(A)) &  (v1_funct_2(k4_real_lat(A), k2_zfmisc_1(k9_funct_2(A, k1_numbers), k9_funct_2(A, k1_numbers)), k9_funct_2(A, k1_numbers)) & m1_subset_1(k4_real_lat(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, k1_numbers), k9_funct_2(A, k1_numbers)), k9_funct_2(A, k1_numbers))))) ) ) ) ).
fof(dt_k5_real_lat, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k5_real_lat(A)) &  (v1_funct_2(k5_real_lat(A), k2_zfmisc_1(k9_funct_2(A, k1_numbers), k9_funct_2(A, k1_numbers)), k9_funct_2(A, k1_numbers)) & m1_subset_1(k5_real_lat(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, k1_numbers), k9_funct_2(A, k1_numbers)), k9_funct_2(A, k1_numbers))))) ) ) ) ).
fof(dt_k6_real_lat, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k6_real_lat(A)))  &  (v3_lattices(k6_real_lat(A)) & l3_lattices(k6_real_lat(A))) ) ) ) ).
fof(fc1_real_ns1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_funct_1(k1_real_ns1(A)) &  (v1_funct_2(k1_real_ns1(A), k2_zfmisc_1(k1_euclid(A), k1_euclid(A)), k1_euclid(A)) &  (v1_binop_1(k1_real_ns1(A), k1_euclid(A)) & v2_binop_1(k1_real_ns1(A), k1_euclid(A))) ) ) ) ) ).
fof(fc2_real_ns1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ( ~ (v2_struct_0(k4_real_ns1(A)))  &  ( ~ (v7_struct_0(k4_real_ns1(A)))  & v1_normsp_1(k4_real_ns1(A))) ) ) ) ).
fof(fc3_real_ns1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (v2_struct_0(k4_real_ns1(A)))  &  (v13_algstr_0(k4_real_ns1(A)) &  (v2_rlvect_1(k4_real_ns1(A)) &  (v3_rlvect_1(k4_real_ns1(A)) &  (v4_rlvect_1(k4_real_ns1(A)) &  (v5_rlvect_1(k4_real_ns1(A)) &  (v6_rlvect_1(k4_real_ns1(A)) &  (v7_rlvect_1(k4_real_ns1(A)) &  (v8_rlvect_1(k4_real_ns1(A)) &  (v3_normsp_0(k4_real_ns1(A)) &  (v4_normsp_0(k4_real_ns1(A)) &  (v1_normsp_1(k4_real_ns1(A)) & v2_normsp_1(k4_real_ns1(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc4_real_ns1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (v2_struct_0(k4_real_ns1(A)))  &  (v1_normsp_1(k4_real_ns1(A)) & v3_lopban_1(k4_real_ns1(A))) ) ) ) ).
fof(fc5_real_ns1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ( ~ (v2_struct_0(k7_real_ns1(A)))  &  ( ~ (v7_struct_0(k7_real_ns1(A)))  & v1_bhsp_1(k7_real_ns1(A))) ) ) ) ).
fof(fc6_real_ns1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (v2_struct_0(k7_real_ns1(A)))  &  (v13_algstr_0(k7_real_ns1(A)) &  (v2_rlvect_1(k7_real_ns1(A)) &  (v3_rlvect_1(k7_real_ns1(A)) &  (v4_rlvect_1(k7_real_ns1(A)) &  (v5_rlvect_1(k7_real_ns1(A)) &  (v6_rlvect_1(k7_real_ns1(A)) &  (v7_rlvect_1(k7_real_ns1(A)) &  (v8_rlvect_1(k7_real_ns1(A)) &  (v1_bhsp_1(k7_real_ns1(A)) & v2_bhsp_1(k7_real_ns1(A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc7_real_ns1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (v2_struct_0(k7_real_ns1(A)))  &  (v1_bhsp_1(k7_real_ns1(A)) & v3_bhsp_3(k7_real_ns1(A))) ) ) ) ).
fof(d1_real_ns1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k1_euclid(A), k1_euclid(A)), k1_euclid(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(A)), k1_euclid(A))))) )  =>  (B=k1_real_ns1(A) <=>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) => k4_binop_1(k1_euclid(A), B, C, D)=k7_euclid(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(d2_real_ns1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k1_numbers, k1_euclid(A)), k1_euclid(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)), k1_euclid(A))))) )  =>  (B=k2_real_ns1(A) <=>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) => k1_binop_1(B, C, D)=k9_euclid(A, D, C)) ) ) ) ) ) ) ) ) ).
fof(d3_real_ns1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_euclid(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers)))) )  =>  (B=k3_real_ns1(A) <=>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) => k3_funct_2(k1_euclid(A), k1_numbers, B, C)=k12_euclid(C)) ) ) ) ) ) ) ).
fof(d4_real_ns1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_normsp_1(B) & l1_normsp_1(B)) )  =>  (B=k4_real_ns1(A) <=>  (u1_struct_0(B)=k1_euclid(A) &  (k4_struct_0(B)=k5_euclid(A) &  (r1_funct_2(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(B), k2_zfmisc_1(k1_euclid(A), k1_euclid(A)), k1_euclid(A), u1_algstr_0(B), k1_real_ns1(A)) &  (r1_funct_2(k2_zfmisc_1(k1_numbers, u1_struct_0(B)), u1_struct_0(B), k2_zfmisc_1(k1_numbers, k1_euclid(A)), k1_euclid(A), u1_rlvect_1(B), k2_real_ns1(A)) & r1_funct_2(u1_struct_0(B), k1_numbers, k1_euclid(A), k1_numbers, u1_normsp_0(B), k3_real_ns1(A))) ) ) ) ) ) ) ) ) ).
fof(t1_real_ns1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_real_ns1(A))) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (B=C => k2_normsp_0(k4_real_ns1(A), B)=k12_euclid(C)) ) ) ) ) ) ) ).
fof(t2_real_ns1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_real_ns1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(A))) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  ( (B=D & C=E)  => k1_algstr_0(k4_real_ns1(A), B, C)=k7_euclid(A, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_real_ns1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_real_ns1(A))) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (B=C => k1_rlvect_1(k4_real_ns1(A), B, D)=k9_euclid(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t4_real_ns1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_real_ns1(A))) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (B=C => k4_algstr_0(k4_real_ns1(A), B)=k6_euclid(A, C)) ) ) ) ) ) ) ).
fof(t5_real_ns1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_real_ns1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(A))) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k1_euclid(A)) =>  ( (B=D & C=E)  => k5_algstr_0(k4_real_ns1(A), B, C)=k8_euclid(A, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_real_ns1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (k4_finseq_1(B)=k2_finseq_1(A) => m2_finseq_2(B, k1_numbers, k1_euclid(A))) ) ) ) ) ).
fof(t7_real_ns1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  ( (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k2_finseq_1(A)) => r1_xxreal_0(k5_numbers, k1_funct_1(B, C))) ) )  =>  (r1_xxreal_0(k5_numbers, k18_rvsum_1(B)) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k2_finseq_1(A)) => r1_xxreal_0(k1_funct_1(B, C), k18_rvsum_1(B))) ) ) ) ) ) ) ) ) ).
fof(t8_real_ns1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k2_finseq_1(A)) => r1_xxreal_0(k9_complex1(k1_funct_1(B, C)), k12_euclid(B))) ) ) ) ) ) ) ).
fof(t9_real_ns1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_real_ns1(A))) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (B=C =>  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k2_finseq_1(A)) => r1_xxreal_0(k9_complex1(k1_funct_1(C, D)), k2_normsp_0(k4_real_ns1(A), B))) ) ) ) ) ) ) ) ) ) ).
fof(t10_real_ns1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k1_euclid(k1_nat_1(A, 1))) => k1_square_1(k12_euclid(B))=k2_xcmplx_0(k1_square_1(k12_euclid(k17_finseq_1(k1_numbers, A, B))), k1_square_1(k1_funct_1(B, k1_nat_1(A, 1))))) ) ) ) ).
fof(t11_real_ns1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_real_ns1(A))) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(k4_real_ns1(A))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k4_real_ns1(A)))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, k1_euclid(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_euclid(A))))) )  =>  ( (C=B & r1_funct_2(k4_ordinal1, k1_euclid(A), k4_ordinal1, u1_struct_0(k4_real_ns1(A)), E, D))  =>  ( (v3_normsp_1(D, k4_real_ns1(A)) & k5_normsp_1(k4_real_ns1(A), D)=B)  <=>  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r2_tarski(F, k2_finseq_1(A)) &  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, k4_ordinal1, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ~ ( (! [H] :  (v7_ordinal1(H) =>  (k8_nat_1(k1_numbers, G, H)=k1_funct_1(k5_real_ns1(A, E, H), F) &  (v2_comseq_2(G) & k1_funct_1(C, F)=k1_seq_2(G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_real_ns1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k4_real_ns1(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k4_real_ns1(A)))))) )  =>  (v1_rsspace3(B, k4_real_ns1(A)) => v3_normsp_1(B, k4_real_ns1(A))) ) ) ) ) ).
fof(d5_real_ns1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k1_euclid(A), k1_euclid(A)), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(A)), k1_numbers)))) )  =>  (B=k6_real_ns1(A) <=>  (! [C] :  (m2_finseq_2(C, k1_numbers, k1_euclid(A)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k1_euclid(A)) => k2_binop_1(k1_euclid(A), k1_euclid(A), k1_numbers, B, C, D)=k18_rvsum_1(k14_rvsum_1(C, D))) ) ) ) ) ) ) ) ) ).
fof(d6_real_ns1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v1_bhsp_1(B) & l1_bhsp_1(B)) )  =>  (B=k7_real_ns1(A) <=>  (u1_struct_0(B)=k1_euclid(A) &  (k4_struct_0(B)=k5_euclid(A) &  (r1_funct_2(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), u1_struct_0(B), k2_zfmisc_1(k1_euclid(A), k1_euclid(A)), k1_euclid(A), u1_algstr_0(B), k1_real_ns1(A)) &  (r1_funct_2(k2_zfmisc_1(k1_numbers, u1_struct_0(B)), u1_struct_0(B), k2_zfmisc_1(k1_numbers, k1_euclid(A)), k1_euclid(A), u1_rlvect_1(B), k2_real_ns1(A)) & r1_funct_2(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)), k1_numbers, k2_zfmisc_1(k1_euclid(A), k1_euclid(A)), k1_numbers, u1_bhsp_1(B), k6_real_ns1(A))) ) ) ) ) ) ) ) ) ).
fof(t13_real_ns1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_real_ns1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k4_real_ns1(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k7_real_ns1(A))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k7_real_ns1(A))) =>  ( (C=E & D=F)  =>  (k3_rlvect_1(k4_real_ns1(A), C, D)=k3_rlvect_1(k7_real_ns1(A), E, F) &  (k4_algstr_0(k4_real_ns1(A), C)=k4_algstr_0(k7_real_ns1(A), E) & k1_rlvect_1(k4_real_ns1(A), C, B)=k1_rlvect_1(k7_real_ns1(A), E, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_real_ns1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_real_ns1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k7_real_ns1(A))) =>  (B=C => k1_square_1(k2_normsp_0(k4_real_ns1(A), B))=k2_bhsp_1(k7_real_ns1(A), C, C)) ) ) ) ) ) ) ).
fof(t15_real_ns1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k4_real_ns1(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k4_real_ns1(A)))))) )  <=>  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k7_real_ns1(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k7_real_ns1(A)))))) ) ) ) ) ) ).
fof(t16_real_ns1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k4_real_ns1(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k4_real_ns1(A)))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(k7_real_ns1(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k7_real_ns1(A)))))) )  =>  (r1_funct_2(k4_ordinal1, u1_struct_0(k4_real_ns1(A)), k4_ordinal1, u1_struct_0(k7_real_ns1(A)), B, C) =>  ( (v3_normsp_1(B, k4_real_ns1(A)) =>  (v1_bhsp_2(C, k7_real_ns1(A)) & k5_normsp_1(k4_real_ns1(A), B)=k1_bhsp_2(k7_real_ns1(A), C)) )  &  (v1_bhsp_2(C, k7_real_ns1(A)) =>  (v3_normsp_1(B, k4_real_ns1(A)) & k5_normsp_1(k4_real_ns1(A), B)=k1_bhsp_2(k7_real_ns1(A), C)) ) ) ) ) ) ) ) ) ) ).
fof(t17_real_ns1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k4_real_ns1(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k4_real_ns1(A)))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(k7_real_ns1(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k7_real_ns1(A)))))) )  =>  ( (r1_funct_2(k4_ordinal1, u1_struct_0(k4_real_ns1(A)), k4_ordinal1, u1_struct_0(k7_real_ns1(A)), B, C) & v1_rsspace3(B, k4_real_ns1(A)))  => v1_bhsp_3(C, k7_real_ns1(A))) ) ) ) ) ) ) ).
fof(t18_real_ns1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k4_real_ns1(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k4_real_ns1(A)))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(k7_real_ns1(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k7_real_ns1(A)))))) )  =>  ( (r1_funct_2(k4_ordinal1, u1_struct_0(k4_real_ns1(A)), k4_ordinal1, u1_struct_0(k7_real_ns1(A)), B, C) & v1_bhsp_3(C, k7_real_ns1(A)))  => v1_rsspace3(B, k4_real_ns1(A))) ) ) ) ) ) ) ).
fof(dt_k1_real_ns1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_funct_1(k1_real_ns1(A)) &  (v1_funct_2(k1_real_ns1(A), k2_zfmisc_1(k1_euclid(A), k1_euclid(A)), k1_euclid(A)) & m1_subset_1(k1_real_ns1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(A)), k1_euclid(A))))) ) ) ) ).
fof(dt_k2_real_ns1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_funct_1(k2_real_ns1(A)) &  (v1_funct_2(k2_real_ns1(A), k2_zfmisc_1(k1_numbers, k1_euclid(A)), k1_euclid(A)) & m1_subset_1(k2_real_ns1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_euclid(A)), k1_euclid(A))))) ) ) ) ).
fof(dt_k3_real_ns1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_funct_1(k3_real_ns1(A)) &  (v1_funct_2(k3_real_ns1(A), k1_euclid(A), k1_numbers) & m1_subset_1(k3_real_ns1(A), k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_numbers)))) ) ) ) ).
fof(dt_k4_real_ns1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (v2_struct_0(k4_real_ns1(A)))  &  (v1_normsp_1(k4_real_ns1(A)) & l1_normsp_1(k4_real_ns1(A))) ) ) ) ).
fof(dt_k5_real_ns1, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_euclid(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_euclid(A))))) )  & v7_ordinal1(C)) )  => m2_finseq_2(k5_real_ns1(A, B, C), k1_numbers, k1_euclid(A))) ) ).
fof(redefinition_k5_real_ns1, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_euclid(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_euclid(A))))) )  & v7_ordinal1(C)) )  => k5_real_ns1(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k6_real_ns1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_funct_1(k6_real_ns1(A)) &  (v1_funct_2(k6_real_ns1(A), k2_zfmisc_1(k1_euclid(A), k1_euclid(A)), k1_numbers) & m1_subset_1(k6_real_ns1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_euclid(A), k1_euclid(A)), k1_numbers)))) ) ) ) ).
fof(dt_k7_real_ns1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (v2_struct_0(k7_real_ns1(A)))  &  (v1_bhsp_1(k7_real_ns1(A)) & l1_bhsp_1(k7_real_ns1(A))) ) ) ) ).
fof(rc1_realalg1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, A) & v1_realalg1(B, A)) ) ) ) ) ) ).
fof(rc2_realalg1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, A) & v2_realalg1(B, A)) ) ) ) ) ) ).
fof(cc1_realalg1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (v1_realalg1(B, A) => v1_relat_2(B)) ) ) ) ).
fof(cc2_realalg1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (v2_realalg1(B, A) => v7_relat_2(B)) ) ) ) ).
fof(cc3_realalg1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (v1_realalg1(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ) ).
fof(cc4_realalg1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (v2_realalg1(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ) ).
fof(rd1_realalg1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => k1_realalg1(A, k1_realalg1(A, B))=B) ) ).
fof(fc1_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  => v1_o_ring_1(k4_struct_0(A), A)) ) ).
fof(fc2_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  => v1_o_ring_1(k5_struct_0(A), A)) ) ).
fof(rc3_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (v2_algstr_0(B, A) &  (v3_algstr_0(B, A) &  (v4_algstr_0(B, A) &  (v9_algstr_0(B, A) &  (v10_algstr_0(B, A) &  (v11_algstr_0(B, A) & v1_o_ring_1(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(cc5_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v1_o_ring_1(B, A) => v8_realalg1(B, A)) ) ) ) ) ).
fof(fc3_realalg1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  &  ( (v1_o_ring_1(B, A) & m1_subset_1(B, u1_struct_0(A)))  &  (v1_o_ring_1(C, A) & m1_subset_1(C, u1_struct_0(A))) ) )  => v1_o_ring_1(k6_algstr_0(A, B, C), A)) ) ).
fof(fc4_realalg1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( (v8_realalg1(B, A) & m1_subset_1(B, u1_struct_0(A)))  &  (v8_realalg1(C, A) & m1_subset_1(C, u1_struct_0(A))) ) )  => v8_realalg1(k1_algstr_0(A, B, C), A)) ) ).
fof(fc5_realalg1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  &  ( (v8_realalg1(B, A) & m1_subset_1(B, u1_struct_0(A)))  &  (v8_realalg1(C, A) & m1_subset_1(C, u1_struct_0(A))) ) )  => v8_realalg1(k6_algstr_0(A, B, C), A)) ) ).
fof(fc6_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  ~ (v1_xboole_0(k2_realalg1(A))) ) ) ).
fof(fc7_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  ~ (v1_xboole_0(k3_realalg1(A))) ) ) ).
fof(rc4_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v9_realalg1(B, A)) ) ) ) ).
fof(rc5_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v10_realalg1(B, A)) ) ) ) ).
fof(cc6_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v9_realalg1(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ) ).
fof(cc7_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v10_realalg1(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ) ).
fof(cc8_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v10_realalg1(B, A) => v9_realalg1(B, A)) ) ) ) ) ).
fof(cc9_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_ideal_1(B, A) & v9_realalg1(B, A))  => v10_realalg1(B, A)) ) ) ) ) ).
fof(fc8_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  => v9_realalg1(k2_realalg1(A), A)) ) ).
fof(fc9_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  => v10_realalg1(k3_realalg1(A), A)) ) ).
fof(fc10_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  => v1_ideal_1(k3_realalg1(A), A)) ) ).
fof(fc11_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  => v5_realalg1(k3_realalg1(A), A)) ) ).
fof(cc10_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v11_realalg1(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ) ).
fof(cc11_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v12_realalg1(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ) ).
fof(cc12_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v11_realalg1(B, A) =>  (v1_ideal_1(B, A) &  (v5_realalg1(B, A) &  (v6_realalg1(B, A) & v9_realalg1(B, A)) ) ) ) ) ) ) ) ).
fof(cc13_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_ideal_1(B, A) &  (v5_realalg1(B, A) &  (v6_realalg1(B, A) & v9_realalg1(B, A)) ) )  => v11_realalg1(B, A)) ) ) ) ) ).
fof(cc14_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v12_realalg1(B, A) =>  (v1_ideal_1(B, A) &  (v5_realalg1(B, A) &  (v6_realalg1(B, A) & v7_realalg1(B, A)) ) ) ) ) ) ) ) ).
fof(cc15_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_ideal_1(B, A) &  (v5_realalg1(B, A) &  (v6_realalg1(B, A) & v7_realalg1(B, A)) ) )  => v12_realalg1(B, A)) ) ) ) ) ).
fof(cc16_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v12_realalg1(B, A) => v11_realalg1(B, A)) ) ) ) ) ).
fof(rc6_realalg1, axiom,  (? [A] :  (l6_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v5_algstr_0(A) &  (v6_algstr_0(A) &  (v7_algstr_0(A) &  (v12_algstr_0(A) &  (v13_algstr_0(A) &  (v14_algstr_0(A) &  (v30_algstr_0(A) &  (v31_algstr_0(A) &  (v32_algstr_0(A) &  (v33_algstr_0(A) &  (v34_algstr_0(A) &  (v35_algstr_0(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v9_rlvect_1(A) &  (v1_vectsp_1(A) &  (v2_vectsp_1(A) &  (v3_vectsp_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v6_vectsp_1(A) &  (v1_vectsp_2(A) &  (v1_algstr_1(A) &  (v2_algstr_1(A) &  (v3_algstr_1(A) &  (v4_algstr_1(A) &  (v1_int_3(A) &  (v3_ring_2(A, k1_int_3) & v13_realalg1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc7_realalg1, axiom,  (? [A] :  (l6_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v5_algstr_0(A) &  (v6_algstr_0(A) &  (v7_algstr_0(A) &  (v12_algstr_0(A) &  (v13_algstr_0(A) &  (v14_algstr_0(A) &  (v30_algstr_0(A) &  (v31_algstr_0(A) &  (v32_algstr_0(A) &  (v33_algstr_0(A) &  (v34_algstr_0(A) &  (v35_algstr_0(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v9_rlvect_1(A) &  (v1_vectsp_1(A) &  (v2_vectsp_1(A) &  (v3_vectsp_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v6_vectsp_1(A) &  (v1_vectsp_2(A) &  (v1_algstr_1(A) &  (v2_algstr_1(A) &  (v3_algstr_1(A) &  (v4_algstr_1(A) &  (v1_int_3(A) &  (v3_ring_2(A, k1_int_3) & v14_realalg1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc17_realalg1, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & v14_realalg1(A)) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & v13_realalg1(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc8_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v11_realalg1(B, A)) ) ) ) ).
fof(rc9_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v14_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v12_realalg1(B, A)) ) ) ) ).
fof(fc12_realalg1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  &  (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  ~ (v1_xboole_0(k4_realalg1(A, B))) ) ) ).
fof(fc13_realalg1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  &  (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (v4_relat_2(k4_realalg1(A, B)) &  (v8_relat_2(k4_realalg1(A, B)) & v1_realalg1(k4_realalg1(A, B), u1_struct_0(A))) ) ) ) ).
fof(fc14_realalg1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  &  (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (v3_realalg1(k4_realalg1(A, B), A) & v4_realalg1(k4_realalg1(A, B), A)) ) ) ).
fof(fc15_realalg1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v14_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  &  (v12_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v2_realalg1(k4_realalg1(A, B), u1_struct_0(A))) ) ).
fof(rc10_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v5_relat_1(B, u1_struct_0(A)) &  (v4_relat_2(B) &  (v8_relat_2(B) &  (v1_realalg1(B, u1_struct_0(A)) &  (v3_realalg1(B, A) & v4_realalg1(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc11_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v14_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v5_relat_1(B, u1_struct_0(A)) &  (v4_relat_2(B) &  (v8_relat_2(B) &  (v1_realalg1(B, u1_struct_0(A)) &  (v2_realalg1(B, u1_struct_0(A)) &  (v3_realalg1(B, A) & v4_realalg1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc16_realalg1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  &  (v1_realalg1(B, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  ~ (v1_xboole_0(k5_realalg1(A, B))) ) ) ).
fof(fc17_realalg1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  &  (v4_relat_2(B) &  (v8_relat_2(B) &  (v1_realalg1(B, u1_struct_0(A)) &  (v3_realalg1(B, A) &  (v4_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ) )  =>  (v1_ideal_1(k5_realalg1(A, B), A) &  (v5_realalg1(k5_realalg1(A, B), A) & v6_realalg1(k5_realalg1(A, B), A)) ) ) ) ).
fof(fc18_realalg1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v14_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  &  (v4_relat_2(B) &  (v8_relat_2(B) &  (v1_realalg1(B, u1_struct_0(A)) &  (v2_realalg1(B, u1_struct_0(A)) &  (v3_realalg1(B, A) &  (v4_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ) ) )  => v7_realalg1(k5_realalg1(A, B), A)) ) ).
fof(cc18_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_c0sp1(B, A) => v13_realalg1(B)) ) ) ) ).
fof(cc19_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v14_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_c0sp1(B, A) => v14_realalg1(B)) ) ) ) ).
fof(fc19_realalg1, axiom,  (v36_algstr_0(k1_complfld) &  ~ (v13_realalg1(k1_complfld)) ) ).
fof(fc20_realalg1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  ~ (v13_realalg1(k9_int_3(A))) ) ) ).
fof(fc21_realalg1, axiom,  (v1_ideal_1(k6_realalg1, k2_vectsp_1) &  (v5_realalg1(k6_realalg1, k2_vectsp_1) &  (v6_realalg1(k6_realalg1, k2_vectsp_1) & v7_realalg1(k6_realalg1, k2_vectsp_1)) ) ) ).
fof(fc22_realalg1, axiom,  (v36_algstr_0(k2_vectsp_1) & v14_realalg1(k2_vectsp_1)) ).
fof(fc23_realalg1, axiom,  (v1_ideal_1(k7_realalg1, k11_gaussint) &  (v5_realalg1(k7_realalg1, k11_gaussint) &  (v6_realalg1(k7_realalg1, k11_gaussint) & v7_realalg1(k7_realalg1, k11_gaussint)) ) ) ).
fof(fc24_realalg1, axiom,  ( ~ (v2_struct_0(k11_gaussint))  &  (v36_algstr_0(k11_gaussint) & v14_realalg1(k11_gaussint)) ) ).
fof(fc25_realalg1, axiom,  (v1_ideal_1(k8_realalg1, k1_int_3) &  (v5_realalg1(k8_realalg1, k1_int_3) &  (v6_realalg1(k8_realalg1, k1_int_3) & v7_realalg1(k8_realalg1, k1_int_3)) ) ) ).
fof(fc26_realalg1, axiom, v14_realalg1(k1_int_3)).
fof(fc27_realalg1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  &  (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (v1_ideal_1(k9_realalg1(A, B), k13_polynom3(A)) & v6_realalg1(k9_realalg1(A, B), k13_polynom3(A))) ) ) ).
fof(fc28_realalg1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  &  (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (v5_realalg1(k9_realalg1(A, B), k13_polynom3(A)) & v10_realalg1(k9_realalg1(A, B), k13_polynom3(A))) ) ) ).
fof(fc29_realalg1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v14_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  &  (v12_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v7_realalg1(k9_realalg1(A, B), k13_polynom3(A))) ) ).
fof(fc30_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k13_polynom3(A)))  &  (v36_algstr_0(k13_polynom3(A)) & v13_realalg1(k13_polynom3(A))) ) ) ) ).
fof(fc31_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) &  (v14_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k13_polynom3(A)))  &  (v36_algstr_0(k13_polynom3(A)) & v14_realalg1(k13_polynom3(A))) ) ) ) ).
fof(fc32_realalg1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  &  (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (v1_ideal_1(k10_realalg1(A, B), k13_polynom3(A)) & v6_realalg1(k10_realalg1(A, B), k13_polynom3(A))) ) ) ).
fof(fc33_realalg1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  &  (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (v5_realalg1(k10_realalg1(A, B), k13_polynom3(A)) & v10_realalg1(k10_realalg1(A, B), k13_polynom3(A))) ) ) ).
fof(fc34_realalg1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v14_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  &  (v12_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v7_realalg1(k10_realalg1(A, B), k13_polynom3(A))) ) ).
fof(d1_realalg1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (v1_realalg1(B, A) <=> r1_relat_2(B, A)) ) ) ) ).
fof(d2_realalg1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (v2_realalg1(B, A) <=> r7_relat_2(B, A)) ) ) ) ).
fof(t1_realalg1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  (m1_subset_1(C, A) => r1_arrow(B, C, C)) ) ) ) ) ) ).
fof(t2_realalg1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v4_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  ( (r1_arrow(B, C, D) & r1_arrow(B, D, C))  => C=D) ) ) ) ) ) ) ) ) ).
fof(t3_realalg1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v8_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  ( (r1_arrow(B, C, D) & r1_arrow(B, D, E))  => r1_arrow(B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_realalg1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v2_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (r1_arrow(B, C, D) | r1_arrow(B, D, C)) ) ) ) ) ) ) ) ) ).
fof(d3_realalg1, axiom,  (! [A] :  (l2_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) =>  (v3_realalg1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_arrow(B, C, D) => r1_arrow(B, k1_algstr_0(A, C, E), k1_algstr_0(A, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_realalg1, axiom,  (! [A] :  (l5_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) =>  (v4_realalg1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_arrow(B, C, D) & r1_arrow(B, k4_struct_0(A), E))  => r1_arrow(B, k6_algstr_0(A, C, E), k6_algstr_0(A, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v5_realalg1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k6_algstr_0(A, C, D), B)) ) ) ) ) ) ) ) ) ) ).
fof(t14_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) <=> r2_tarski(k4_algstr_0(A, C), k1_realalg1(A, B))) ) ) ) ) ) ) ).
fof(t15_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k1_realalg1(A, k13_ideal_1(A, B, C))=k13_ideal_1(A, k1_realalg1(A, B), k1_realalg1(A, C))) ) ) ) ) ) ).
fof(t16_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k1_realalg1(A, k4_subset_1(u1_struct_0(A), B, C))=k4_subset_1(u1_struct_0(A), k1_realalg1(A, B), k1_realalg1(A, C))) ) ) ) ) ) ).
fof(d7_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v6_realalg1(B, A) <=> k13_ideal_1(A, B, k1_realalg1(A, B))=k6_domain_1(u1_struct_0(A), k4_struct_0(A))) ) ) ) ) ).
fof(d8_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v7_realalg1(B, A) <=> k4_subset_1(u1_struct_0(A), B, k1_realalg1(A, B))=u1_struct_0(A)) ) ) ) ) ).
fof(d9_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v8_realalg1(B, A) <=>  (? [C] :  (m2_finseq_1(C, u1_struct_0(A)) &  (k4_rlvect_1(A, C)=B &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(D, k1_relset_1(k4_ordinal1, C)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ (k1_funct_1(C, D)=k1_o_ring_1(A, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v9_realalg1(B, A) <=> r1_tarski(k2_realalg1(A), B)) ) ) ) ) ).
fof(d13_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v10_realalg1(B, A) <=> r1_tarski(k3_realalg1(A), B)) ) ) ) ) ).
fof(t17_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (r2_tarski(k4_struct_0(A), k2_realalg1(A)) & r2_tarski(k5_struct_0(A), k2_realalg1(A))) ) ) ).
fof(t18_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  => r1_tarski(k2_realalg1(A), k3_realalg1(A))) ) ).
fof(t19_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_c0sp1(B, A) => r1_tarski(k2_realalg1(B), k2_realalg1(A))) ) ) ) ).
fof(t20_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_c0sp1(B, A) => r1_tarski(k3_realalg1(B), k3_realalg1(A))) ) ) ) ).
fof(d14_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v11_realalg1(B, A) <=>  (r1_tarski(k12_ideal_1(A, B, B), B) &  (r1_tarski(k2_group_2(A, B, B), B) &  (k13_ideal_1(A, B, k1_realalg1(A, B))=k6_domain_1(u1_struct_0(A), k4_struct_0(A)) & r1_tarski(k2_realalg1(A), B)) ) ) ) ) ) ) ) ).
fof(d15_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v12_realalg1(B, A) <=>  (r1_tarski(k12_ideal_1(A, B, B), B) &  (r1_tarski(k2_group_2(A, B, B), B) &  (k13_ideal_1(A, B, k1_realalg1(A, B))=k6_domain_1(u1_struct_0(A), k4_struct_0(A)) & k4_subset_1(u1_struct_0(A), B, k1_realalg1(A, B))=u1_struct_0(A)) ) ) ) ) ) ) ) ).
fof(t21_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r1_tarski(k3_group_2(A, B, B), B) & r1_tarski(k2_realalg1(A), B))  =>  (k13_ideal_1(A, B, k1_realalg1(A, B))=k6_domain_1(u1_struct_0(A), k4_struct_0(A)) <=>  ~ (r2_tarski(k4_algstr_0(A, k5_struct_0(A)), B)) ) ) ) ) ) ) ).
fof(t22_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r1_tarski(k3_group_2(A, B, B), B) & k4_subset_1(u1_struct_0(A), B, k1_realalg1(A, B))=u1_struct_0(A))  =>  (k13_ideal_1(A, B, k1_realalg1(A, B))=k6_domain_1(u1_struct_0(A), k4_struct_0(A)) <=>  ~ (r2_tarski(k4_algstr_0(A, k5_struct_0(A)), B)) ) ) ) ) ) ) ).
fof(d16_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (v13_realalg1(A) <=>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v11_realalg1(B, A)) ) ) ) ) ).
fof(d17_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (v14_realalg1(A) <=>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v12_realalg1(B, A)) ) ) ) ) ).
fof(t23_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_tarski(k1_o_ring_1(A, C), B)) ) ) ) ) ) ).
fof(t24_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => r1_tarski(k3_realalg1(A), B)) ) ) ) ).
fof(t25_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (r2_tarski(k4_struct_0(A), B) & r2_tarski(k5_struct_0(A), B)) ) ) ) ) ).
fof(t26_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ (r2_tarski(k4_algstr_0(A, k5_struct_0(A)), B)) ) ) ) ) ).
fof(t27_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v9_struct_0(C, A))  & m1_subset_1(C, u1_struct_0(A)))  =>  (r2_tarski(C, B) => r2_tarski(k9_algstr_0(A, C), B)) ) ) ) ) ) ) ).
fof(t28_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  => k3_ring_3(A)=k5_numbers) ) ).
fof(t29_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v14_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v12_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v12_realalg1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (r1_tarski(B, C) => B=C) ) ) ) ) ) ) ).
fof(d18_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_realalg1(A, B, C, D) <=> r2_tarski(k5_algstr_0(A, D, C), B)) ) ) ) ) ) ) ) ) ).
fof(t30_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v4_relat_2(k4_realalg1(A, B)) &  (v8_relat_2(k4_realalg1(A, B)) &  (v1_realalg1(k4_realalg1(A, B), u1_struct_0(A)) &  (v3_realalg1(k4_realalg1(A, B), A) &  (v4_realalg1(k4_realalg1(A, B), A) & m1_subset_1(k4_realalg1(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ) ) ) ) ) ).
fof(t31_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v14_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v12_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v4_relat_2(k4_realalg1(A, B)) &  (v8_relat_2(k4_realalg1(A, B)) &  (v1_realalg1(k4_realalg1(A, B), u1_struct_0(A)) &  (v2_realalg1(k4_realalg1(A, B), u1_struct_0(A)) &  (v3_realalg1(k4_realalg1(A, B), A) &  (v4_realalg1(k4_realalg1(A, B), A) & m1_subset_1(k4_realalg1(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ) ) ) ) ) ) ).
fof(t32_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v14_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v4_relat_2(B) &  (v8_relat_2(B) &  (v1_realalg1(B, u1_struct_0(A)) &  (v2_realalg1(B, u1_struct_0(A)) &  (v3_realalg1(B, A) &  (v4_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ) )  =>  (v12_realalg1(k5_realalg1(A, B), A) & m1_subset_1(k5_realalg1(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ).
fof(t33_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_c0sp1(C, A) =>  (v11_realalg1(k8_subset_1(u1_struct_0(A), B, u1_struct_0(C)), C) & m1_subset_1(k8_subset_1(u1_struct_0(A), B, u1_struct_0(C)), k1_zfmisc_1(u1_struct_0(C)))) ) ) ) ) ) ) ).
fof(t34_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v14_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v12_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_c0sp1(C, A) =>  (v12_realalg1(k8_subset_1(u1_struct_0(A), B, u1_struct_0(C)), C) & m1_subset_1(k8_subset_1(u1_struct_0(A), B, u1_struct_0(C)), k1_zfmisc_1(u1_struct_0(C)))) ) ) ) ) ) ) ).
fof(t35_realalg1, axiom,  (v12_realalg1(k6_realalg1, k2_vectsp_1) & m1_subset_1(k6_realalg1, k1_zfmisc_1(u1_struct_0(k2_vectsp_1)))) ).
fof(t36_realalg1, axiom,  (! [A] :  ( (v12_realalg1(A, k2_vectsp_1) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k2_vectsp_1))))  => A=k6_realalg1) ) ).
fof(t37_realalg1, axiom,  (v12_realalg1(k7_realalg1, k11_gaussint) & m1_subset_1(k7_realalg1, k1_zfmisc_1(u1_struct_0(k11_gaussint)))) ).
fof(t38_realalg1, axiom,  (! [A] :  ( (v12_realalg1(A, k11_gaussint) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k11_gaussint))))  => A=k7_realalg1) ) ).
fof(t39_realalg1, axiom,  (v12_realalg1(k8_realalg1, k1_int_3) & m1_subset_1(k8_realalg1, k1_zfmisc_1(u1_struct_0(k1_int_3)))) ).
fof(t40_realalg1, axiom,  (! [A] :  ( (v12_realalg1(A, k1_int_3) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k1_int_3))))  => A=k8_realalg1) ) ).
fof(t41_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v11_realalg1(k9_realalg1(A, B), k13_polynom3(A)) & m1_subset_1(k9_realalg1(A, B), k1_zfmisc_1(u1_struct_0(k13_polynom3(A))))) ) ) ) ) ).
fof(t42_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) &  (v14_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v12_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v12_realalg1(k9_realalg1(A, B), k13_polynom3(A)) & m1_subset_1(k9_realalg1(A, B), k1_zfmisc_1(u1_struct_0(k13_polynom3(A))))) ) ) ) ) ).
fof(t43_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v11_realalg1(k10_realalg1(A, B), k13_polynom3(A)) & m1_subset_1(k10_realalg1(A, B), k1_zfmisc_1(u1_struct_0(k13_polynom3(A))))) ) ) ) ) ).
fof(t44_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) &  (v14_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v12_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v12_realalg1(k10_realalg1(A, B), k13_polynom3(A)) & m1_subset_1(k10_realalg1(A, B), k1_zfmisc_1(u1_struct_0(k13_polynom3(A))))) ) ) ) ) ).
fof(t45_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ (k9_realalg1(A, B)=k10_realalg1(A, B)) ) ) ) ) ).
fof(dt_k1_realalg1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k1_realalg1(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k2_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  => m1_subset_1(k2_realalg1(A), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k3_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  => m1_subset_1(k3_realalg1(A), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k4_realalg1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  &  (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k4_realalg1(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ).
fof(dt_k5_realalg1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))))  => m1_subset_1(k5_realalg1(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k6_realalg1, axiom, m1_subset_1(k6_realalg1, k1_zfmisc_1(u1_struct_0(k2_vectsp_1)))).
fof(dt_k7_realalg1, axiom, m1_subset_1(k7_realalg1, k1_zfmisc_1(u1_struct_0(k11_gaussint)))).
fof(dt_k8_realalg1, axiom, m1_subset_1(k8_realalg1, k1_zfmisc_1(u1_struct_0(k1_int_3)))).
fof(dt_k9_realalg1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  &  (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k9_realalg1(A, B), k1_zfmisc_1(u1_struct_0(k13_polynom3(A))))) ) ).
fof(dt_k10_realalg1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  &  (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k10_realalg1(A, B), k1_zfmisc_1(u1_struct_0(k13_polynom3(A))))) ) ).
fof(t5_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_struct_0(A) &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => a_2_0_realalg1(A, B)=k1_xboole_0) ) ) ) ).
fof(t6_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (r2_funct_2(k4_ordinal1, u1_struct_0(A), B, k9_polynom3(A)) <=> a_2_1_realalg1(A, B)=k1_xboole_0) ) ) ) ) ).
fof(t7_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => k3_nat_1(a_2_2_realalg1(A, B))=k3_nat_1(a_2_1_realalg1(A, B))) ) ) ) ).
fof(t8_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => k3_nat_1(a_2_3_realalg1(A, B))=k3_nat_1(a_2_4_realalg1(A, B))) ) ) ) ).
fof(t9_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) &  (v1_uproots(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  ( ~ (r1_xxreal_0(k3_nat_1(a_2_5_realalg1(A, B)), k3_nat_1(a_2_5_realalg1(A, C))))  => k3_nat_1(a_3_0_realalg1(A, B, C))=k3_nat_1(a_2_5_realalg1(A, C))) ) ) ) ) ) ) ).
fof(t10_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) &  (v1_uproots(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (k3_nat_1(a_2_5_realalg1(A, B))=k3_nat_1(a_2_5_realalg1(A, C)) =>  (k8_polynom3(A, B, C)=k9_polynom3(A) | r1_xxreal_0(k3_nat_1(a_2_5_realalg1(A, B)), k3_nat_1(a_3_0_realalg1(A, B, C)))) ) ) ) ) ) ) ) ).
fof(t11_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) &  (v1_uproots(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  ( ~ (k3_rlvect_1(A, k8_nat_1(u1_struct_0(A), B, k3_nat_1(a_2_5_realalg1(A, B))), k8_nat_1(u1_struct_0(A), C, k3_nat_1(a_2_5_realalg1(A, C))))=k4_struct_0(A))  => k3_nat_1(a_3_0_realalg1(A, B, C))=k4_nat_1(k3_nat_1(a_2_5_realalg1(A, B)), k3_nat_1(a_2_5_realalg1(A, C)))) ) ) ) ) ) ) ).
fof(t12_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) &  (v1_uproots(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  ( ~ (k11_polynom3(A, B, C)=k9_polynom3(A))  => r1_xxreal_0(k1_nat_1(k3_nat_1(a_2_5_realalg1(A, B)), k3_nat_1(a_2_5_realalg1(A, C))), k3_nat_1(a_3_1_realalg1(A, B, C)))) ) ) ) ) ) ) ).
fof(t13_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) &  (v1_uproots(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  => k3_nat_1(a_3_2_realalg1(A, B, C))=k1_nat_1(k3_nat_1(a_2_6_realalg1(A, B)), k3_nat_1(a_2_6_realalg1(A, C)))) ) ) ) ) ) ).
fof(d6_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k1_realalg1(A, B)=a_2_7_realalg1(A, B)) ) ) ) ).
fof(d10_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  => k2_realalg1(A)=a_1_0_realalg1(A)) ) ).
fof(d11_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  => k3_realalg1(A)=a_1_1_realalg1(A)) ) ).
fof(d19_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => k4_realalg1(A, B)=a_2_8_realalg1(A, B)) ) ) ) ).
fof(d20_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) => k5_realalg1(A, B)=a_2_9_realalg1(A, B)) ) ) ) ).
fof(d21_realalg1, axiom, k6_realalg1=a_0_0_realalg1).
fof(d22_realalg1, axiom, k7_realalg1=a_0_1_realalg1).
fof(d23_realalg1, axiom, k8_realalg1=a_0_2_realalg1).
fof(d24_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => k9_realalg1(A, B)=a_2_10_realalg1(A, B)) ) ) ) ).
fof(d25_realalg1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => k10_realalg1(A, B)=a_2_11_realalg1(A, B)) ) ) ) ).
fof(fraenkel_a_2_0_realalg1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v6_struct_0(B) &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) ) )  =>  (r2_hidden(A, a_2_0_realalg1(B, C)) <=>  (? [D] :  (v7_ordinal1(D) &  (A=D &  ~ (k8_nat_1(u1_struct_0(B), C, D)=k4_struct_0(B)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_realalg1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) ) )  =>  (r2_hidden(A, a_2_1_realalg1(B, C)) <=>  (? [D] :  (v7_ordinal1(D) &  (A=D &  ~ (k8_nat_1(u1_struct_0(B), C, D)=k4_struct_0(B)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_2_realalg1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) ) )  =>  (r2_hidden(A, a_2_2_realalg1(B, C)) <=>  (? [D] :  (v7_ordinal1(D) &  (A=D &  ~ (k8_nat_1(u1_struct_0(B), k8_polynom3(B, C, k9_polynom3(B)), D)=k4_struct_0(B)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_3_realalg1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) ) )  =>  (r2_hidden(A, a_2_3_realalg1(B, C)) <=>  (? [D] :  (v7_ordinal1(D) &  (A=D &  ~ (k8_nat_1(u1_struct_0(B), k5_vfunct_1(k4_ordinal1, B, C), D)=k4_struct_0(B)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_4_realalg1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) ) )  =>  (r2_hidden(A, a_2_4_realalg1(B, C)) <=>  (? [D] :  (v7_ordinal1(D) &  (A=D &  ~ (k8_nat_1(u1_struct_0(B), C, D)=k4_struct_0(B)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_5_realalg1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(C, B) &  (v1_uproots(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) ) ) )  =>  (r2_hidden(A, a_2_5_realalg1(B, C)) <=>  (? [D] :  (v7_ordinal1(D) &  (A=D &  ~ (k8_nat_1(u1_struct_0(B), C, D)=k4_struct_0(B)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_realalg1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(C, B) &  (v1_uproots(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(D, B) &  (v1_uproots(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) ) ) ) )  =>  (r2_hidden(A, a_3_0_realalg1(B, C, D)) <=>  (? [E] :  (v7_ordinal1(E) &  (A=E &  ~ (k8_nat_1(u1_struct_0(B), k8_polynom3(B, C, D), E)=k4_struct_0(B)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_realalg1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(C, B) &  (v1_uproots(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(D, B) &  (v1_uproots(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) ) ) ) )  =>  (r2_hidden(A, a_3_1_realalg1(B, C, D)) <=>  (? [E] :  (v7_ordinal1(E) &  (A=E &  ~ (k8_nat_1(u1_struct_0(B), k11_polynom3(B, C, D), E)=k4_struct_0(B)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_2_realalg1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v1_vectsp_2(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(C, B) &  (v1_uproots(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(D, B) &  (v1_uproots(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) ) ) ) )  =>  (r2_hidden(A, a_3_2_realalg1(B, C, D)) <=>  (? [E] :  (v7_ordinal1(E) &  (A=E &  ~ (k8_nat_1(u1_struct_0(B), k12_polynom3(B, C, D), E)=k4_struct_0(B)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_6_realalg1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v1_vectsp_2(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(C, B) &  (v1_uproots(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) ) ) )  =>  (r2_hidden(A, a_2_6_realalg1(B, C)) <=>  (? [D] :  (v7_ordinal1(D) &  (A=D &  ~ (k8_nat_1(u1_struct_0(B), C, D)=k4_struct_0(B)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_7_realalg1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l2_algstr_0(B))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_7_realalg1(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=k4_algstr_0(B, D) & r2_tarski(D, C)) ) ) ) ) ) ).
fof(fraenkel_a_1_0_realalg1, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (r2_hidden(A, a_1_0_realalg1(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(B)) &  (A=C & v1_o_ring_1(C, B)) ) ) ) ) ) ).
fof(fraenkel_a_1_1_realalg1, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (r2_hidden(A, a_1_1_realalg1(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(B)) &  (A=C & v8_realalg1(C, B)) ) ) ) ) ) ).
fof(fraenkel_a_2_8_realalg1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v13_realalg1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  &  (v11_realalg1(C, B) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (r2_hidden(A, a_2_8_realalg1(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, u1_struct_0(B)) & m1_subset_1(E, u1_struct_0(B)))  &  (A=k1_domain_1(u1_struct_0(B), u1_struct_0(B), D, E) & r1_realalg1(B, C, D, E)) ) ) ) ) ) ).
fof(fraenkel_a_2_9_realalg1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)))))  =>  (r2_hidden(A, a_2_9_realalg1(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & r1_arrow(C, k4_struct_0(B), D)) ) ) ) ) ) ).
fof(fraenkel_a_0_0_realalg1, axiom,  (! [A] :  (r2_hidden(A, a_0_0_realalg1) <=>  (? [B] :  (m1_subset_1(B, k1_numbers) &  (A=B & r1_xxreal_0(k5_numbers, B)) ) ) ) ) ).
fof(fraenkel_a_0_1_realalg1, axiom,  (! [A] :  (r2_hidden(A, a_0_1_realalg1) <=>  (? [B] :  (m1_subset_1(B, k3_numbers) &  (A=B & r1_xxreal_0(k5_numbers, B)) ) ) ) ) ).
fof(fraenkel_a_0_2_realalg1, axiom,  (! [A] :  (r2_hidden(A, a_0_2_realalg1) <=>  (? [B] :  (m1_subset_1(B, k4_numbers) &  (A=B & r1_xxreal_0(k5_numbers, B)) ) ) ) ) ).
fof(fraenkel_a_2_10_realalg1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v13_realalg1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  &  (v11_realalg1(C, B) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (r2_hidden(A, a_2_10_realalg1(B, C)) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) )  &  (A=D & r2_tarski(k2_ratfunc1(B, D), C)) ) ) ) ) ) ).
fof(fraenkel_a_2_11_realalg1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v13_realalg1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  &  (v11_realalg1(C, B) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (r2_hidden(A, a_2_11_realalg1(B, C)) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) )  &  (A=D & r2_tarski(k8_nat_1(u1_struct_0(B), D, k3_nat_1(a_2_12_realalg1(B, D))), C)) ) ) ) ) ) ).
fof(fraenkel_a_2_12_realalg1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v13_realalg1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) ) )  =>  (r2_hidden(A, a_2_12_realalg1(B, C)) <=>  (? [D] :  (v7_ordinal1(D) &  (A=D &  ~ (k8_nat_1(u1_struct_0(B), C, D)=k4_struct_0(B)) ) ) ) ) ) ) ).
fof(rc1_realalg2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) &  ~ (v1_xboole_0(C)) ) ) ) ) ) ) ) ).
fof(fc1_realalg2, axiom, v4_membered(u1_struct_0(k11_gaussint))).
fof(fc2_realalg2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => v1_o_ring_1(k1_o_ring_1(A, B), A)) ) ).
fof(fc3_realalg2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => v1_o_ring_1(k2_binom(A, B, 2), A)) ) ).
fof(cc1_realalg2, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & v13_realalg1(A)) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & v3_ring_3(A, k5_numbers)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc2_realalg2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k1_int_3))) =>  (v11_realalg1(A, k1_int_3) =>  (v7_realalg1(A, k1_int_3) & v11_realalg1(A, k1_int_3)) ) ) ) ).
fof(cc3_realalg2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k11_gaussint))) =>  (v11_realalg1(A, k11_gaussint) =>  (v7_realalg1(A, k11_gaussint) & v11_realalg1(A, k11_gaussint)) ) ) ) ).
fof(cc4_realalg2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k2_vectsp_1))) =>  (v11_realalg1(A, k2_vectsp_1) =>  (v7_realalg1(A, k2_vectsp_1) & v11_realalg1(A, k2_vectsp_1)) ) ) ) ).
fof(cc5_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v7_realalg1(B, A) & v11_realalg1(B, A))  =>  (v11_realalg1(B, A) & v1_realalg2(B, A)) ) ) ) ) ) ).
fof(cc6_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v11_realalg1(B, A) & v1_realalg2(B, A))  =>  (v7_realalg1(B, A) & v11_realalg1(B, A)) ) ) ) ) ) ).
fof(cc7_realalg2, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & v13_realalg1(A)) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & v14_realalg1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc4_realalg2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v14_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  &  (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  ~ (v1_xboole_0(k1_realalg2(A, B))) ) ) ).
fof(fc5_realalg2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v14_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  &  (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (v1_ideal_1(k1_realalg2(A, B), A) &  (v5_realalg1(k1_realalg2(A, B), A) & v9_realalg1(k1_realalg2(A, B), A)) ) ) ) ).
fof(fc6_realalg2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v14_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  &  (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v6_realalg1(k1_realalg2(A, B), A)) ) ).
fof(cc8_realalg2, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & v2_realalg2(A)) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & v14_realalg1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc9_realalg2, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & v14_realalg1(A)) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & v2_realalg2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc10_realalg2, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & v13_realalg1(A)) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & v2_realalg2(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_realalg2, axiom,  (? [A] :  (l6_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v12_algstr_0(A) &  (v13_algstr_0(A) &  (v14_algstr_0(A) &  (v33_algstr_0(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v9_rlvect_1(A) &  (v1_vectsp_1(A) &  (v2_vectsp_1(A) &  (v3_vectsp_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v6_vectsp_1(A) &  (v1_vectsp_2(A) &  (v1_int_3(A) &  (v3_ring_2(A, k1_int_3) & v2_realalg2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc7_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_realalg2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  => v6_realalg1(k3_realalg1(A), A)) ) ).
fof(fc8_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k5_finseq_1(k5_struct_0(A))))  &  ( ~ (v3_realalg2(k5_finseq_1(k5_struct_0(A)), A))  & v4_realalg2(k5_finseq_1(k5_struct_0(A)), A)) ) ) ) ).
fof(rc3_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_finseq_1(B, u1_struct_0(A)) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) &  ( ~ (v3_realalg2(B, A))  & v4_realalg2(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc11_realalg2, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & v2_realalg2(A)) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  ( ~ (v2_polynom5(A))  & v2_realalg2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc4_realalg2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  &  (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (v9_algstr_0(C, A) &  (v10_algstr_0(C, A) &  (v11_algstr_0(C, A) & v5_realalg2(C, A, B)) ) ) ) ) ) ) ).
fof(cc12_realalg2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  &  (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v6_realalg2(C, A, B) => v5_realalg2(C, A, B)) ) ) ) ) ).
fof(cc13_realalg2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  &  (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v7_realalg2(C, A, B) => v5_realalg2(C, A, B)) ) ) ) ) ).
fof(rc5_realalg2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  &  (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (v9_algstr_0(C, A) &  (v10_algstr_0(C, A) &  (v11_algstr_0(C, A) & v6_realalg2(C, A, B)) ) ) ) ) ) ) ).
fof(rc6_realalg2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  &  (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (v9_algstr_0(C, A) &  (v10_algstr_0(C, A) &  (v11_algstr_0(C, A) & v7_realalg2(C, A, B)) ) ) ) ) ) ) ).
fof(rc7_realalg2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  &  (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (v9_algstr_0(C, A) &  (v10_algstr_0(C, A) &  (v11_algstr_0(C, A) &  ~ (v6_realalg2(C, A, B)) ) ) ) ) ) ) ) ).
fof(rc8_realalg2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  &  (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (v9_algstr_0(C, A) &  (v10_algstr_0(C, A) &  (v11_algstr_0(C, A) &  ~ (v7_realalg2(C, A, B)) ) ) ) ) ) ) ) ).
fof(cc14_realalg2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  &  (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v6_realalg2(C, A, B) =>  ( ~ (v9_struct_0(C, A))  &  ~ (v7_realalg2(C, A, B)) ) ) ) ) ) ) ).
fof(cc15_realalg2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  &  (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v7_realalg2(C, A, B) =>  ( ~ (v9_struct_0(C, A))  &  ~ (v6_realalg2(C, A, B)) ) ) ) ) ) ) ).
fof(fc9_realalg2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  &  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  (v5_realalg2(C, A, B) & m1_subset_1(C, u1_struct_0(A))) ) )  => v5_realalg2(k4_algstr_0(A, C), A, B)) ) ).
fof(fc10_realalg2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v9_struct_0(B, A))  & m1_subset_1(B, u1_struct_0(A))) )  =>  ~ (v9_struct_0(k9_algstr_0(A, B), A)) ) ) ).
fof(fc11_realalg2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  ( ~ (v9_struct_0(C, A))  &  (v5_realalg2(C, A, B) & m1_subset_1(C, u1_struct_0(A))) ) ) )  => v5_realalg2(k9_algstr_0(A, C), A, B)) ) ).
fof(cc16_realalg2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v14_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  &  (v12_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ( ~ (v9_struct_0(C, A))  &  ~ (v6_realalg2(C, A, B)) )  => v7_realalg2(C, A, B)) ) ) ) ) ).
fof(cc17_realalg2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v14_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  &  (v12_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ( ~ (v9_struct_0(C, A))  &  ~ (v7_realalg2(C, A, B)) )  => v6_realalg2(C, A, B)) ) ) ) ) ).
fof(rc9_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  ( ~ (v9_struct_0(B, A))  &  (v9_algstr_0(B, A) &  (v10_algstr_0(B, A) &  (v11_algstr_0(B, A) & v1_o_ring_1(B, A)) ) ) ) ) ) ) ) ).
fof(cc18_realalg2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  &  (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v7_realalg2(C, A, B) =>  ~ (v1_o_ring_1(C, A)) ) ) ) ) ) ).
fof(cc19_realalg2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  &  (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v1_o_ring_1(C, A) &  ~ (v6_realalg2(C, A, B)) )  => v9_struct_0(C, A)) ) ) ) ) ).
fof(rc10_realalg2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) &  (v14_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v12_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  (v1_o_ring_1(C, A) & m1_subset_1(C, u1_struct_0(A))) ) )  =>  (? [D] :  (m1_realalg2(D, A, C) &  (v9_algstr_0(D, A) &  (v10_algstr_0(D, A) &  (v11_algstr_0(D, A) &  ~ (v7_realalg2(D, A, B)) ) ) ) ) ) ) ) ).
fof(rc11_realalg2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) &  (v14_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v12_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  ( ~ (v9_struct_0(C, A))  &  (v1_o_ring_1(C, A) & m1_subset_1(C, u1_struct_0(A))) ) ) )  =>  (? [D] :  (m1_realalg2(D, A, C) &  (v9_algstr_0(D, A) &  (v10_algstr_0(D, A) &  (v11_algstr_0(D, A) & v6_realalg2(D, A, B)) ) ) ) ) ) ) ).
fof(rc12_realalg2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) &  (v14_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v12_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  ( ~ (v9_struct_0(C, A))  &  (v1_o_ring_1(C, A) & m1_subset_1(C, u1_struct_0(A))) ) ) )  =>  (? [D] :  (m1_realalg2(D, A, C) &  (v9_algstr_0(D, A) &  (v10_algstr_0(D, A) &  (v11_algstr_0(D, A) & v7_realalg2(D, A, B)) ) ) ) ) ) ) ).
fof(fc12_realalg2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) &  (v14_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v12_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  ( ~ (v9_struct_0(C, A))  &  (v1_o_ring_1(C, A) & m1_subset_1(C, u1_struct_0(A))) ) ) )  =>  ( ~ (v9_struct_0(k4_realalg2(A, B, C), A))  &  ~ (v7_realalg2(k4_realalg2(A, B, C), A, B)) ) ) ) ).
fof(t1_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_rlvect_1(A) & l2_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(k4_struct_0(A), C) => r1_tarski(B, k11_ideal_1(A, B, C))) ) ) ) ) ) ) ).
fof(t2_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_vectsp_1(A) & l4_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(k5_struct_0(A), C) => r1_tarski(B, k2_group_2(A, B, C))) ) ) ) ) ) ) ).
fof(t3_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(k4_struct_0(A), B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_tarski(B, k11_ideal_1(A, B, k10_ideal_1(A, B, C)))) ) ) ) ) ) ) ).
fof(t4_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r2_tarski(k4_struct_0(A), B) & r2_tarski(k5_struct_0(A), B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_tarski(C, k11_ideal_1(A, B, k10_ideal_1(A, B, C)))) ) ) ) ) ) ) ).
fof(t5_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_int_1(D) => k1_ring_3(A, k6_algstr_0(A, B, C), D)=k6_algstr_0(A, k1_ring_3(A, B, D), C)) ) ) ) ) ) ) ) ).
fof(t6_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_int_1(C) => k1_ring_3(A, k4_algstr_0(A, B), C)=k4_algstr_0(A, k1_ring_3(A, B, C))) ) ) ) ) ) ).
fof(t7_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_o_ring_1(A, k3_rlvect_1(A, B, C))=k3_rlvect_1(A, k3_rlvect_1(A, k1_o_ring_1(A, B), k8_group_1(A, k1_ring_3(A, B, 2), C)), k1_o_ring_1(A, C))) ) ) ) ) ) ).
fof(t8_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_o_ring_1(A, k5_algstr_0(A, B, C))=k3_rlvect_1(A, k5_algstr_0(A, k1_o_ring_1(A, B), k8_group_1(A, k1_ring_3(A, B, 2), C)), k1_o_ring_1(A, C))) ) ) ) ) ) ).
fof(t9_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k8_group_1(A, k3_rlvect_1(A, B, C), k5_algstr_0(A, B, C))=k5_algstr_0(A, k1_o_ring_1(A, B), k1_o_ring_1(A, C))) ) ) ) ) ) ).
fof(t10_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_o_ring_1(A, B)=k1_o_ring_1(A, C) <=>  (B=C | B=k4_algstr_0(A, C)) ) ) ) ) ) ) ) ).
fof(t11_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v9_struct_0(B, A))  & m1_subset_1(B, u1_struct_0(A)))  => k9_algstr_0(A, k4_algstr_0(A, B))=k4_algstr_0(A, k9_algstr_0(A, B))) ) ) ) ).
fof(t12_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v9_struct_0(B, A))  & m1_subset_1(B, u1_struct_0(A)))  => k9_algstr_0(A, k4_algstr_0(A, k9_algstr_0(A, B)))=k4_algstr_0(A, B)) ) ) ) ).
fof(t13_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v9_struct_0(B, A))  & m1_subset_1(B, u1_struct_0(A)))  => k4_algstr_0(A, k9_algstr_0(A, k4_algstr_0(A, B)))=k9_algstr_0(A, B)) ) ) ) ).
fof(t14_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v9_struct_0(C, A))  & m1_subset_1(C, u1_struct_0(A)))  => k1_o_ring_1(A, k12_algstr_0(A, B, C))=k12_algstr_0(A, k1_o_ring_1(A, B), k1_o_ring_1(A, C))) ) ) ) ) ) ).
fof(t15_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (k3_ring_3(A)=2)  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_algstr_0(A, k1_o_ring_1(A, k12_algstr_0(A, k3_rlvect_1(A, B, k5_struct_0(A)), k1_ring_3(A, k5_struct_0(A), 2))), k1_o_ring_1(A, k12_algstr_0(A, k5_algstr_0(A, B, k5_struct_0(A)), k1_ring_3(A, k5_struct_0(A), 2))))=B) ) ) ) ) ).
fof(t16_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => k2_group_2(A, k1_realalg1(A, B), B)=k2_group_2(A, B, k1_realalg1(A, B))) ) ) ) ).
fof(t17_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (r1_tarski(k12_ideal_1(A, k1_realalg1(A, B), k1_realalg1(A, B)), k1_realalg1(A, B)) & r1_tarski(k2_group_2(A, k1_realalg1(A, B), k1_realalg1(A, B)), B)) ) ) ) ) ).
fof(t18_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (r1_tarski(k2_group_2(A, k1_realalg1(A, B), B), k1_realalg1(A, B)) & r1_tarski(k2_group_2(A, B, k1_realalg1(A, B)), k1_realalg1(A, B))) ) ) ) ) ).
fof(t19_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (v7_ordinal1(C) => r2_tarski(k1_ring_3(A, k5_struct_0(A), C), B)) ) ) ) ) ) ).
fof(t20_realalg2, axiom,  (! [A] :  ( (v11_realalg1(A, k1_int_3) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k1_int_3))))  => A=k8_realalg1) ) ).
fof(t21_realalg2, axiom,  (! [A] :  ( (v11_realalg1(A, k11_gaussint) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k11_gaussint))))  => A=k7_realalg1) ) ).
fof(t22_realalg2, axiom,  (! [A] :  ( (v11_realalg1(A, k2_vectsp_1) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k2_vectsp_1))))  => A=k6_realalg1) ) ).
fof(t23_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (k3_ring_3(A)=1 <=> v6_struct_0(A)) ) ) ).
fof(t24_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (k3_ring_3(A)=2 <=> k1_ring_3(A, k5_struct_0(A), 2)=k4_struct_0(A)) ) ) ).
fof(t25_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (k3_ring_3(A)=k5_numbers <=>  (! [B] :  ( ( ~ (v9_struct_0(B, A))  & m1_subset_1(B, u1_struct_0(A)))  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  ~ (k1_ring_3(A, B, C)=k4_struct_0(A)) ) ) ) ) ) ) ) ).
fof(t26_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) &  (v3_ring_3(A, k5_numbers) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k4_algstr_0(A, B)=B <=> B=k4_struct_0(A)) ) ) ) ) ).
fof(d1_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_realalg2(B, A) <=>  (! [C] :  ( (v11_realalg1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (r1_tarski(B, C) => B=C) ) ) ) ) ) ) ) ).
fof(t27_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (r2_tarski(k4_algstr_0(A, C), B))  =>  (v11_realalg1(k12_ideal_1(A, B, k10_ideal_1(A, B, C)), A) & m1_subset_1(k12_ideal_1(A, B, k10_ideal_1(A, B, C)), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ) ) ).
fof(t28_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_realalg2(B, A) <=> v12_realalg1(B, A)) ) ) ) ) ).
fof(t29_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (? [C] :  ( (v11_realalg1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  &  (r1_tarski(B, C) & v1_realalg2(C, A)) ) ) ) ) ) ) ).
fof(t30_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_realalg2(B, A) <=>  (v12_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ).
fof(t31_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (? [C] :  ( (v12_realalg1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  & r1_tarski(B, C)) ) ) ) ) ) ).
fof(t32_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v14_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v11_realalg1(k1_realalg2(A, B), A) & m1_subset_1(k1_realalg2(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ).
fof(t33_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v14_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => k1_realalg2(A, B)=B) ) ) ) ).
fof(d3_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (v2_realalg2(A) <=>  ~ (r2_tarski(k4_algstr_0(A, k5_struct_0(A)), k3_realalg1(A))) ) ) ) ).
fof(t34_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (k3_ring_3(A)=2)  =>  (v2_realalg2(A) <=> v11_realalg1(k3_realalg1(A), A)) ) ) ) ).
fof(t35_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (k3_ring_3(A)=2)  =>  (v2_realalg2(A) <=>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v11_realalg1(B, A)) ) ) ) ) ) ).
fof(t36_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (k3_ring_3(A)=2)  =>  (v2_realalg2(A) <=>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v12_realalg1(B, A)) ) ) ) ) ) ).
fof(t37_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (k3_ring_3(A)=2)  =>  (v2_realalg2(A) <=>  ~ (k3_realalg1(A)=u1_struct_0(A)) ) ) ) ) ).
fof(t38_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_realalg2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (v11_realalg1(k3_realalg1(A), A) & m1_subset_1(k3_realalg1(A), k1_zfmisc_1(u1_struct_0(A)))) ) ) ).
fof(t39_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_realalg2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (! [C] :  ( (v12_realalg1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  => r2_tarski(B, C)) )  <=> r2_tarski(B, k3_realalg1(A))) ) ) ) ) ).
fof(t40_realalg2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k11_gaussint)) =>  (r1_xxreal_0(k5_numbers, A) => v8_realalg1(A, k11_gaussint)) ) ) ).
fof(d4_realalg2, axiom,  (! [A] :  (l2_struct_0(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) & v1_funct_1(B)) )  =>  (v3_realalg2(B, A) <=>  (! [C] :  (r2_hidden(C, k9_xtuple_0(B)) => k1_funct_1(B, C)=k4_struct_0(A)) ) ) ) ) ) ) ).
fof(d5_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, u1_struct_0(A)))  =>  (v4_realalg2(B, A) <=>  (! [C] :  (m2_subset_1(C, k4_ordinal1, k4_finseq_1(B)) => v1_o_ring_1(k1_ring_2(u1_struct_0(A), B, C), A)) ) ) ) ) ) ) ).
fof(t41_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (v2_realalg2(A) <=>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v4_realalg2(B, A) & m2_finseq_1(B, u1_struct_0(A))) )  =>  (k4_rlvect_1(A, B)=k4_struct_0(A) => v3_realalg2(B, A)) ) ) ) ) ) ).
fof(t42_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_realalg1(A, B, C, D) <=> r1_realalg1(A, B, k4_algstr_0(A, D), k4_algstr_0(A, C))) ) ) ) ) ) ) ) ) ).
fof(t43_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_realalg1(A, B, C, C)) ) ) ) ) ) ).
fof(t44_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_realalg1(A, B, C, D) & r1_realalg1(A, B, D, C))  => C=D) ) ) ) ) ) ) ) ) ).
fof(t45_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_realalg1(A, B, C, D) & r1_realalg1(A, B, D, E))  => r1_realalg1(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_realalg1(A, B, C, D) => r1_realalg1(A, B, k3_rlvect_1(A, C, E), k3_rlvect_1(A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_realalg1(A, B, C, D) & r1_realalg1(A, B, k4_struct_0(A), E))  => r1_realalg1(A, B, k6_algstr_0(A, C, E), k6_algstr_0(A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_realalg1(A, B, C, D) & r1_realalg1(A, B, E, k4_struct_0(A)))  => r1_realalg1(A, B, k6_algstr_0(A, D, E), k6_algstr_0(A, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v14_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v12_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_realalg1(A, B, C, D) | r1_realalg1(A, B, D, C)) ) ) ) ) ) ) ) ) ).
fof(t50_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v9_struct_0(C, A))  & m1_subset_1(C, u1_struct_0(A)))  =>  (! [D] :  ( ( ~ (v9_struct_0(D, A))  & m1_subset_1(D, u1_struct_0(A)))  =>  ( (r1_realalg1(A, B, k4_struct_0(A), C) & r1_realalg1(A, B, k4_struct_0(A), D))  =>  (r1_realalg1(A, B, C, D) <=> r1_realalg1(A, B, k9_algstr_0(A, D), k9_algstr_0(A, C))) ) ) ) ) ) ) ) ) ) ).
fof(t51_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v9_struct_0(C, A))  & m1_subset_1(C, u1_struct_0(A)))  =>  (! [D] :  ( ( ~ (v9_struct_0(D, A))  & m1_subset_1(D, u1_struct_0(A)))  =>  ( (r1_realalg1(A, B, C, k4_struct_0(A)) & r1_realalg1(A, B, D, k4_struct_0(A)))  =>  (r1_realalg1(A, B, C, D) <=> r1_realalg1(A, B, k9_algstr_0(A, D), k9_algstr_0(A, C))) ) ) ) ) ) ) ) ) ) ).
fof(d6_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_realalg2(A, B, C, D) <=>  (r1_realalg1(A, B, C, D) &  ~ (C=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (r1_realalg2(A, B, k4_struct_0(A), k5_struct_0(A)) & r1_realalg2(A, B, k4_algstr_0(A, k5_struct_0(A)), k4_struct_0(A))) ) ) ) ) ).
fof(t53_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_realalg2(A, B, C, D) <=> r1_realalg2(A, B, k4_algstr_0(A, D), k4_algstr_0(A, C))) ) ) ) ) ) ) ) ) ).
fof(t54_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v14_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v12_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (r1_realalg2(A, B, C, D))  &  ( ~ (r1_realalg2(A, B, D, C))  &  ~ (C=D) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_realalg2(A, B, C, D) & r1_realalg1(A, B, D, E))  => r1_realalg2(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_realalg1(A, B, C, D) & r1_realalg2(A, B, D, E))  => r1_realalg2(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r1_realalg2(A, B, C, D) => r1_realalg2(A, B, k3_rlvect_1(A, C, E), k3_rlvect_1(A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_realalg2(A, B, C, D) & r1_realalg2(A, B, k4_struct_0(A), E))  => r1_realalg2(A, B, k8_group_1(A, C, E), k8_group_1(A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_realalg2(A, B, C, D) & r1_realalg2(A, B, E, k4_struct_0(A)))  => r1_realalg2(A, B, k8_group_1(A, D, E), k8_group_1(A, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v9_struct_0(C, A))  & m1_subset_1(C, u1_struct_0(A)))  =>  (! [D] :  ( ( ~ (v9_struct_0(D, A))  & m1_subset_1(D, u1_struct_0(A)))  =>  ( (r1_realalg1(A, B, k4_struct_0(A), C) & r1_realalg1(A, B, k4_struct_0(A), D))  =>  (r1_realalg2(A, B, C, D) <=> r1_realalg2(A, B, k9_algstr_0(A, D), k9_algstr_0(A, C))) ) ) ) ) ) ) ) ) ) ).
fof(t61_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v9_struct_0(C, A))  & m1_subset_1(C, u1_struct_0(A)))  =>  (! [D] :  ( ( ~ (v9_struct_0(D, A))  & m1_subset_1(D, u1_struct_0(A)))  =>  ( (r1_realalg1(A, B, C, k4_struct_0(A)) & r1_realalg1(A, B, D, k4_struct_0(A)))  =>  (r1_realalg2(A, B, C, D) <=> r1_realalg2(A, B, k9_algstr_0(A, D), k9_algstr_0(A, C))) ) ) ) ) ) ) ) ) ) ).
fof(d7_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v5_realalg2(C, A, B) <=> r2_tarski(C, k4_subset_1(u1_struct_0(A), B, k1_realalg1(A, B)))) ) ) ) ) ) ) ).
fof(d8_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v6_realalg2(C, A, B) <=> r2_tarski(C, k7_subset_1(u1_struct_0(A), B, k1_tarski(k4_struct_0(A))))) ) ) ) ) ) ) ).
fof(d9_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v7_realalg2(C, A, B) <=> r2_tarski(C, k7_subset_1(u1_struct_0(A), k1_realalg1(A, B), k1_tarski(k4_struct_0(A))))) ) ) ) ) ) ) ).
fof(t62_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v6_realalg2(C, A, B) <=> r1_realalg2(A, B, k4_struct_0(A), C)) ) ) ) ) ) ) ).
fof(t63_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v7_realalg2(C, A, B) <=> r1_realalg2(A, B, C, k4_struct_0(A))) ) ) ) ) ) ) ).
fof(t64_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v5_realalg2(C, A, B) & m1_subset_1(C, u1_struct_0(A)))  =>  ( ~ (v7_realalg2(C, A, B))  <=> r1_realalg1(A, B, k4_struct_0(A), C)) ) ) ) ) ) ) ).
fof(t65_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v5_realalg2(C, A, B) & m1_subset_1(C, u1_struct_0(A)))  =>  ( ~ (v6_realalg2(C, A, B))  <=> r1_realalg1(A, B, C, k4_struct_0(A))) ) ) ) ) ) ) ).
fof(d10_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (r2_tarski(C, B) => k2_realalg2(A, B, C)=C)  &  ( (r2_tarski(C, k1_realalg1(A, B)) => k2_realalg2(A, B, C)=k4_algstr_0(A, C))  &  ~ ( ( ~ (r2_tarski(C, B))  &  ( ~ (r2_tarski(C, k1_realalg1(A, B)))  &  ~ (k2_realalg2(A, B, C)=k4_algstr_0(A, k5_struct_0(A))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v14_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v12_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (r2_tarski(C, B) => k3_realalg2(A, B, C)=C)  &  ( ~ (r2_tarski(C, B))  => k3_realalg2(A, B, C)=k4_algstr_0(A, C)) ) ) ) ) ) ) ) ).
fof(t66_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_realalg1(A, B, k4_struct_0(A), k2_realalg2(A, B, C)) <=> v5_realalg2(C, A, B)) ) ) ) ) ) ) ).
fof(t67_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (v5_realalg2(C, A, B))  <=> k2_realalg2(A, B, C)=k4_algstr_0(A, k5_struct_0(A))) ) ) ) ) ) ) ).
fof(t68_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k2_realalg2(A, B, C)=k4_struct_0(A) <=> C=k4_struct_0(A)) ) ) ) ) ) ) ).
fof(t69_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k2_realalg2(A, B, C)=C <=> r1_realalg1(A, B, k4_struct_0(A), C)) ) ) ) ) ) ) ).
fof(t70_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k2_realalg2(A, B, C)=k4_algstr_0(A, C) <=> r1_realalg1(A, B, C, k4_struct_0(A))) ) ) ) ) ) ) ).
fof(t71_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_realalg2(A, B, C)=k2_realalg2(A, B, k4_algstr_0(A, C))) ) ) ) ) ) ).
fof(t72_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (r1_realalg1(A, B, k4_algstr_0(A, k2_realalg2(A, B, C)), C) & r1_realalg1(A, B, C, k2_realalg2(A, B, C)))  <=> v5_realalg2(C, A, B)) ) ) ) ) ) ) ).
fof(t73_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v9_struct_0(C, A))  &  (v5_realalg2(C, A, B) & m1_subset_1(C, u1_struct_0(A))) )  => k2_realalg2(A, B, k9_algstr_0(A, C))=k9_algstr_0(A, k2_realalg2(A, B, C))) ) ) ) ) ) ).
fof(t74_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_realalg2(A, B, k5_algstr_0(A, C, D))=k2_realalg2(A, B, k5_algstr_0(A, D, C))) ) ) ) ) ) ) ) ).
fof(t75_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (r1_realalg1(A, B, k4_algstr_0(A, k2_realalg2(A, B, C)), C) & r1_realalg1(A, B, C, k2_realalg2(A, B, C)))  <=> v5_realalg2(C, A, B)) ) ) ) ) ) ) ).
fof(t76_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v5_realalg2(C, A, B) & m1_subset_1(C, u1_struct_0(A)))  =>  (! [D] :  ( (v5_realalg2(D, A, B) & m1_subset_1(D, u1_struct_0(A)))  => k2_realalg2(A, B, k6_algstr_0(A, C, D))=k6_algstr_0(A, k2_realalg2(A, B, C), k2_realalg2(A, B, D))) ) ) ) ) ) ) ) ).
fof(t77_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v9_struct_0(C, A))  &  (v5_realalg2(C, A, B) & m1_subset_1(C, u1_struct_0(A))) )  =>  (! [D] :  ( (v5_realalg2(D, A, B) & m1_subset_1(D, u1_struct_0(A)))  => k2_realalg2(A, B, k8_group_1(A, D, k9_algstr_0(A, C)))=k8_group_1(A, k2_realalg2(A, B, D), k9_algstr_0(A, k2_realalg2(A, B, C)))) ) ) ) ) ) ) ) ).
fof(t78_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v5_realalg2(C, A, B) & m1_subset_1(C, u1_struct_0(A)))  =>  (! [D] :  ( (v5_realalg2(D, A, B) &  ( ~ (v7_realalg2(D, A, B))  & m1_subset_1(D, u1_struct_0(A))) )  =>  (r1_realalg1(A, B, k2_realalg2(A, B, C), D) <=>  (r1_realalg1(A, B, k4_algstr_0(A, D), C) & r1_realalg1(A, B, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t79_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v5_realalg2(C, A, B) & m1_subset_1(C, u1_struct_0(A)))  =>  (! [D] :  ( (v5_realalg2(D, A, B) & m1_subset_1(D, u1_struct_0(A)))  => r1_realalg1(A, B, k2_realalg2(A, B, k3_rlvect_1(A, C, D)), k3_rlvect_1(A, k2_realalg2(A, B, C), k2_realalg2(A, B, D)))) ) ) ) ) ) ) ) ).
fof(d12_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_o_ring_1(B, A) & m1_subset_1(B, u1_struct_0(A)))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (m1_realalg2(C, A, B) <=> k1_o_ring_1(A, C)=B) ) ) ) ) ) ) ).
fof(t80_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) &  (v14_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v12_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v7_realalg2(C, A, B))  & m1_subset_1(C, u1_struct_0(A)))  =>  (! [D] :  ( ( ~ (v7_realalg2(D, A, B))  & m1_subset_1(D, u1_struct_0(A)))  =>  (r1_realalg1(A, B, C, D) <=> r1_realalg1(A, B, k1_o_ring_1(A, C), k1_o_ring_1(A, D))) ) ) ) ) ) ) ) ) ).
fof(t81_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) &  (v14_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v12_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v7_realalg2(C, A, B))  & m1_subset_1(C, u1_struct_0(A)))  =>  (! [D] :  ( ( ~ (v7_realalg2(D, A, B))  & m1_subset_1(D, u1_struct_0(A)))  =>  (r1_realalg2(A, B, C, D) <=> r1_realalg2(A, B, k1_o_ring_1(A, C), k1_o_ring_1(A, D))) ) ) ) ) ) ) ) ) ).
fof(t82_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v5_realalg2(C, A, B) & m1_subset_1(C, u1_struct_0(A)))  => k1_o_ring_1(A, k2_realalg2(A, B, C))=k1_o_ring_1(A, C)) ) ) ) ) ) ).
fof(t83_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r2_tarski(C, k7_subset_1(u1_struct_0(A), k1_realalg1(A, B), k1_tarski(k4_struct_0(A)))) & v1_o_ring_1(C, A)) ) ) ) ) ) ) ) ).
fof(t84_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => k13_ideal_1(A, k1_realalg1(A, B), k2_realalg1(A))=k1_tarski(k4_struct_0(A))) ) ) ) ).
fof(t85_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v1_o_ring_1(C, A) & m1_subset_1(C, u1_struct_0(A)))  =>  (! [D] :  (m1_realalg2(D, A, C) =>  (! [E] :  (m1_realalg2(E, A, C) =>  ( (r1_realalg1(A, B, k4_struct_0(A), D) & r1_realalg1(A, B, k4_struct_0(A), E))  => D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) &  (v14_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v12_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v1_o_ring_1(C, A) & m1_subset_1(C, u1_struct_0(A)))  =>  (! [D] :  ( ( ~ (v7_realalg2(D, A, B))  & m1_realalg2(D, A, C))  =>  (D=k4_realalg2(A, B, C) <=> k1_o_ring_1(A, D)=C) ) ) ) ) ) ) ) ) ).
fof(t86_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) &  (v14_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v12_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v1_o_ring_1(C, A) & m1_subset_1(C, u1_struct_0(A)))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (m1_realalg2(D, A, C) <=>  (D=k4_realalg2(A, B, C) | D=k4_algstr_0(A, k4_realalg2(A, B, C))) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_realalg2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v14_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  &  (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k1_realalg2(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k2_realalg2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v13_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  &  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k2_realalg2(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k3_realalg2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v14_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  &  ( (v12_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k3_realalg2(A, B, C), u1_struct_0(A))) ) ).
fof(redefinition_k3_realalg2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v14_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  &  ( (v12_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  & m1_subset_1(C, u1_struct_0(A))) )  => k3_realalg2(A, B, C)=k2_realalg2(A, B, C)) ) ).
fof(dt_m1_realalg2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  (v1_o_ring_1(B, A) & m1_subset_1(B, u1_struct_0(A))) )  =>  (! [C] :  (m1_realalg2(C, A, B) => m1_subset_1(C, u1_struct_0(A))) ) ) ) ).
fof(existence_m1_realalg2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  (v1_o_ring_1(B, A) & m1_subset_1(B, u1_struct_0(A))) )  =>  (? [C] : m1_realalg2(C, A, B)) ) ) ).
fof(dt_k4_realalg2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) &  (v14_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v12_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  (v1_o_ring_1(C, A) & m1_subset_1(C, u1_struct_0(A))) ) )  =>  ( ~ (v7_realalg2(k4_realalg2(A, B, C), A, B))  & m1_realalg2(k4_realalg2(A, B, C), A, C)) ) ) ).
fof(d2_realalg2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v14_realalg1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v11_realalg1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => k1_realalg2(A, B)=a_2_0_realalg2(A, B)) ) ) ) ).
fof(fraenkel_a_2_0_realalg2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v14_realalg1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  &  (v11_realalg1(C, B) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (r2_hidden(A, a_2_0_realalg2(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D &  (! [E] :  ( (v12_realalg1(E, B) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))))  =>  (r1_tarski(C, E) => r2_tarski(D, E)) ) ) ) ) ) ) ) ) ).
fof(fc1_realset1, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_relat_1(k1_realset1(A, B))) ) ).
fof(fc2_realset1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v1_funct_1(k1_realset1(A, B))) ) ).
fof(t1_realset1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (r2_tarski(B, k2_zfmisc_1(A, A)) => r2_tarski(k1_funct_1(C, B), A)) ) ) ) ) ).
fof(d1_realset1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (m1_realset1(C, A, B) <=>  (! [D] :  (r2_tarski(D, k2_zfmisc_1(C, C)) => r2_tarski(k1_funct_1(B, D), C)) ) ) ) ) ) ) ) ).
fof(d2_realset1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] : k1_realset1(A, B)=k5_relat_1(A, k2_zfmisc_1(B, B))) ) ) ).
fof(t2_realset1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  (m1_realset1(C, A, B) =>  (v1_funct_1(k1_realset1(B, C)) &  (v1_funct_2(k1_realset1(B, C), k2_zfmisc_1(C, C), C) & m1_subset_1(k1_realset1(B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, C), C)))) ) ) ) ) ) ) ).
fof(d3_realset1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (r1_realset1(A, B, C) <=>  (m1_realset1(k6_subset_1(A, k6_domain_1(A, C)), A, B) &  (v1_funct_1(k6_subset_1(k1_realset1(B, A), k6_domain_1(A, C))) &  (v1_funct_2(k6_subset_1(k1_realset1(B, A), k6_domain_1(A, C)), k2_zfmisc_1(k6_subset_1(A, k6_domain_1(A, C)), k6_subset_1(A, k6_domain_1(A, C))), k6_subset_1(A, k6_domain_1(A, C))) & m1_subset_1(k6_subset_1(k1_realset1(B, A), k6_domain_1(A, C)), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_subset_1(A, k6_domain_1(A, C)), k6_subset_1(A, k6_domain_1(A, C))), k6_subset_1(A, k6_domain_1(A, C)))))) ) ) ) ) ) ) ) ) ) ).
fof(t5_realset1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (! [D] :  (r2_tarski(D, k2_zfmisc_1(B, B)) => r2_tarski(k1_funct_1(C, D), B)) ) ) ) ) ) ) ).
fof(d4_realset1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (m2_realset1(C, A, B) <=>  (! [D] :  (r2_tarski(D, k2_zfmisc_1(B, B)) => r2_tarski(k1_funct_1(C, D), B)) ) ) ) ) ) ) ) ).
fof(t6_realset1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m2_realset1(C, A, B) =>  (v1_funct_1(k1_realset1(C, B)) &  (v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B) & m1_subset_1(k1_realset1(C, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) ) ) ) ) ) ) ).
fof(d5_realset1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m2_realset1(C, A, B) => k3_realset1(A, B, C)=k1_realset1(C, B)) ) ) ) ) ).
fof(d6_realset1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (m3_realset1(C, A, B) <=>  (! [D] :  (r2_tarski(D, k2_zfmisc_1(k6_subset_1(A, k1_tarski(B)), k6_subset_1(A, k1_tarski(B)))) => r2_tarski(k1_funct_1(C, D), k6_subset_1(A, k1_tarski(B)))) ) ) ) ) ) ) ) ).
fof(t7_realset1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m3_realset1(C, A, B) =>  (v1_funct_1(k1_realset1(C, k6_subset_1(A, k6_domain_1(A, B)))) &  (v1_funct_2(k1_realset1(C, k6_subset_1(A, k6_domain_1(A, B))), k2_zfmisc_1(k6_subset_1(A, k6_domain_1(A, B)), k6_subset_1(A, k6_domain_1(A, B))), k6_subset_1(A, k6_domain_1(A, B))) & m1_subset_1(k1_realset1(C, k6_subset_1(A, k6_domain_1(A, B))), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_subset_1(A, k6_domain_1(A, B)), k6_subset_1(A, k6_domain_1(A, B))), k6_subset_1(A, k6_domain_1(A, B)))))) ) ) ) ) ) ) ) ).
fof(d7_realset1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m3_realset1(C, A, B) => k4_realset1(A, B, C)=k1_realset1(C, k6_subset_1(A, k6_domain_1(A, B)))) ) ) ) ) ) ).
fof(dt_m1_realset1, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  (m1_realset1(C, A, B) => m1_subset_1(C, k1_zfmisc_1(A))) ) ) ) ).
fof(existence_m1_realset1, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (? [C] : m1_realset1(C, A, B)) ) ) ).
fof(dt_k2_realset1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & m1_realset1(C, A, B))  =>  (v1_funct_1(k2_realset1(A, B, C)) &  (v1_funct_2(k2_realset1(A, B, C), k2_zfmisc_1(C, C), C) & m1_subset_1(k2_realset1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, C), C)))) ) ) ) ).
fof(redefinition_k2_realset1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & m1_realset1(C, A, B))  => k2_realset1(A, B, C)=k1_realset1(B, C)) ) ).
fof(dt_m2_realset1, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m2_realset1(C, A, B) =>  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) ) ) ) ) ).
fof(existence_m2_realset1, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (? [C] : m2_realset1(C, A, B)) ) ) ).
fof(dt_k3_realset1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) & m2_realset1(C, A, B))  =>  (v1_funct_1(k3_realset1(A, B, C)) &  (v1_funct_2(k3_realset1(A, B, C), k2_zfmisc_1(B, B), B) & m1_subset_1(k3_realset1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) ) ) ) ).
fof(dt_m3_realset1, axiom,  (! [A, B] :  (m1_subset_1(B, A) =>  (! [C] :  (m3_realset1(C, A, B) =>  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) ) ) ) ) ).
fof(existence_m3_realset1, axiom,  (! [A, B] :  (m1_subset_1(B, A) =>  (? [C] : m3_realset1(C, A, B)) ) ) ).
fof(dt_k4_realset1, axiom,  (! [A, B, C] :  ( ( ~ (v1_zfmisc_1(A))  &  (m1_subset_1(B, A) & m3_realset1(C, A, B)) )  =>  (v1_funct_1(k4_realset1(A, B, C)) &  (v1_funct_2(k4_realset1(A, B, C), k2_zfmisc_1(k6_subset_1(A, k6_domain_1(A, B)), k6_subset_1(A, k6_domain_1(A, B))), k6_subset_1(A, k6_domain_1(A, B))) & m1_subset_1(k4_realset1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_subset_1(A, k6_domain_1(A, B)), k6_subset_1(A, k6_domain_1(A, B))), k6_subset_1(A, k6_domain_1(A, B)))))) ) ) ) ).
fof(fc1_realset2, axiom,  ( ~ (v2_struct_0(k3_realset2))  &  ( ~ (v6_struct_0(k3_realset2))  & v36_algstr_0(k3_realset2)) ) ).
fof(fc2_realset2, axiom,  (v3_rlvect_1(k3_realset2) & v5_vectsp_1(k3_realset2)) ).
fof(rc1_realset2, axiom,  (? [A] :  (l6_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v36_algstr_0(A) & v3_rlvect_1(A)) ) ) ) ) ).
fof(fc3_realset2, axiom, v6_membered(u1_struct_0(k3_realset2))).
fof(rc2_realset2, axiom,  (? [A] :  (m1_subset_1(A, u1_struct_0(k3_realset2)) & v1_xboole_0(A)) ) ).
fof(rc3_realset2, axiom,  (? [A] :  (m1_subset_1(A, u1_struct_0(k3_realset2)) &  ~ (v1_xboole_0(A)) ) ) ).
fof(fc4_realset2, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (m1_subset_1(C, A) &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & m1_subset_1(E, A)) ) ) )  =>  ( ~ (v2_struct_0(g6_algstr_0(A, B, D, E, C)))  & v36_algstr_0(g6_algstr_0(A, B, D, E, C))) ) ) ).
fof(rc4_realset2, axiom,  (? [A] :  (l6_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v36_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) & v1_realset2(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_realset2, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & v5_group_1(A)) ) ) ) ) ) ) ) )  =>  ( ~ (v6_struct_0(A))  & v1_realset2(A)) ) ) ) ).
fof(cc2_realset2, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) & v1_realset2(A)) ) ) ) ) )  =>  ( ~ (v6_struct_0(A))  &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v3_group_1(A) & v5_group_1(A)) ) ) ) ) ) ) ).
fof(d1_realset2, axiom, k1_realset2=k1_funct_4(k1_funct_4(k1_funct_4(k13_funcop_1(k5_numbers, k5_numbers, k5_numbers), k13_funcop_1(k5_numbers, 1, 1)), k13_funcop_1(1, k5_numbers, 1)), k13_funcop_1(1, 1, k5_numbers))).
fof(d2_realset2, axiom, k2_realset2=k1_funct_4(k1_funct_4(k1_funct_4(k13_funcop_1(k5_numbers, k5_numbers, k5_numbers), k13_funcop_1(k5_numbers, 1, k5_numbers)), k13_funcop_1(1, k5_numbers, k5_numbers)), k13_funcop_1(1, 1, 1))).
fof(d3_realset2, axiom, k3_realset2=g6_algstr_0(2, k1_realset2, k2_realset2, k10_subset_1(1, 2), k10_subset_1(k5_numbers, 2))).
fof(d4_realset2, axiom,  (! [A] :  (l6_algstr_0(A) =>  (v1_realset2(A) <=>  (m3_realset1(u2_algstr_0(A), u1_struct_0(A), k4_struct_0(A)) &  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(B, B), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  =>  (! [D] :  (m1_subset_1(D, B) =>  ( (B=k8_struct_0(A) &  (D=k5_struct_0(A) & C=k1_realset1(u2_algstr_0(A), k8_struct_0(A))) )  =>  ( ~ (v2_struct_0(g2_algstr_0(B, C, D)))  &  (v13_algstr_0(g2_algstr_0(B, C, D)) &  (v2_rlvect_1(g2_algstr_0(B, C, D)) &  (v3_rlvect_1(g2_algstr_0(B, C, D)) &  (v4_rlvect_1(g2_algstr_0(B, C, D)) & l2_algstr_0(g2_algstr_0(B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_realset2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) )  => k4_realset2(A)=u2_algstr_0(A)) ) ).
fof(t1_realset2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(g2_algstr_0(u1_struct_0(A), u1_algstr_0(A), u2_struct_0(A))))  &  (v13_algstr_0(g2_algstr_0(u1_struct_0(A), u1_algstr_0(A), u2_struct_0(A))) &  (v2_rlvect_1(g2_algstr_0(u1_struct_0(A), u1_algstr_0(A), u2_struct_0(A))) &  (v3_rlvect_1(g2_algstr_0(u1_struct_0(A), u1_algstr_0(A), u2_struct_0(A))) &  (v4_rlvect_1(g2_algstr_0(u1_struct_0(A), u1_algstr_0(A), u2_struct_0(A))) & l2_algstr_0(g2_algstr_0(u1_struct_0(A), u1_algstr_0(A), u2_struct_0(A)))) ) ) ) ) ) ) ).
fof(t2_realset2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k3_rlvect_1(A, B, k4_struct_0(A))=B & k3_rlvect_1(A, k4_struct_0(A), B)=B) ) ) ) ) ).
fof(t3_realset2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (k3_rlvect_1(A, B, C)=k4_struct_0(A) & k3_rlvect_1(A, C, B)=k4_struct_0(A)) ) ) ) ) ) ) ).
fof(t4_realset2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k8_struct_0(A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), k8_struct_0(A)) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(A), k8_struct_0(A)) => k6_algstr_0(A, k6_algstr_0(A, B, C), D)=k6_algstr_0(A, B, k6_algstr_0(A, C, D))) ) ) ) ) ) ) ) ).
fof(t5_realset2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k8_struct_0(A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), k8_struct_0(A)) => k6_algstr_0(A, B, C)=k6_algstr_0(A, C, B)) ) ) ) ) ) ).
fof(t6_realset2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k8_struct_0(A)) =>  (k6_algstr_0(A, B, k5_struct_0(A))=B & k6_algstr_0(A, k5_struct_0(A), B)=B) ) ) ) ) ).
fof(t7_realset2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k8_struct_0(A)) =>  (? [C] :  (m2_subset_1(C, u1_struct_0(A), k8_struct_0(A)) &  (k6_algstr_0(A, B, C)=k5_struct_0(A) & k6_algstr_0(A, C, B)=k5_struct_0(A)) ) ) ) ) ) ) ).
fof(t8_realset2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k3_rlvect_1(A, B, C)=k4_struct_0(A) => C=k3_funct_2(u1_struct_0(A), u1_struct_0(A), k4_vectsp_1(A), B)) ) ) ) ) ) ) ).
fof(t9_realset2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => B=k3_funct_2(u1_struct_0(A), u1_struct_0(A), k4_vectsp_1(A), k3_funct_2(u1_struct_0(A), u1_struct_0(A), k4_vectsp_1(A), B))) ) ) ) ).
fof(t10_realset2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (m1_subset_1(k4_binop_1(u1_struct_0(A), u1_algstr_0(A), B, C), u1_struct_0(A)) &  (m1_subset_1(k4_binop_1(u1_struct_0(A), k4_realset2(A), B, C), u1_struct_0(A)) & m1_subset_1(k3_funct_2(u1_struct_0(A), u1_struct_0(A), k4_vectsp_1(A), B), u1_struct_0(A))) ) ) ) ) ) ) ) ).
fof(t11_realset2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k8_group_1(A, B, k5_algstr_0(A, C, D))=k5_algstr_0(A, k8_group_1(A, B, C), k8_group_1(A, B, D))) ) ) ) ) ) ) ) ).
fof(t12_realset2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k8_group_1(A, k5_algstr_0(A, B, C), D)=k5_algstr_0(A, k8_group_1(A, B, D), k8_group_1(A, C, D))) ) ) ) ) ) ) ) ).
fof(t13_realset2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k8_group_1(A, B, k4_struct_0(A))=k4_struct_0(A)) ) ) ) ).
fof(t14_realset2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k8_group_1(A, k4_struct_0(A), B)=k4_struct_0(A)) ) ) ) ).
fof(t15_realset2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_algstr_0(A, k8_group_1(A, B, C))=k8_group_1(A, B, k4_algstr_0(A, C))) ) ) ) ) ) ).
fof(t16_realset2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  => k8_group_1(A, k5_struct_0(A), k4_struct_0(A))=k4_struct_0(A)) ) ).
fof(t17_realset2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  => k8_group_1(A, k4_struct_0(A), k5_struct_0(A))=k4_struct_0(A)) ) ).
fof(t18_realset2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => m1_subset_1(k4_binop_1(u1_struct_0(A), k4_realset2(A), B, C), u1_struct_0(A))) ) ) ) ) ) ).
fof(t19_realset2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k6_algstr_0(A, k6_algstr_0(A, B, C), D)=k6_algstr_0(A, B, k6_algstr_0(A, C, D))) ) ) ) ) ) ) ) ).
fof(t20_realset2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k6_algstr_0(A, B, C)=k6_algstr_0(A, C, B)) ) ) ) ) ) ).
fof(t21_realset2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k6_algstr_0(A, B, k5_struct_0(A))=B & k6_algstr_0(A, k5_struct_0(A), B)=B) ) ) ) ) ).
fof(d6_realset2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k8_struct_0(A), k8_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_struct_0(A), k8_struct_0(A))))) )  =>  (B=k5_realset2(A) <=>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), k8_struct_0(A)) => k1_binop_1(k4_realset2(A), C, k3_funct_2(k8_struct_0(A), k8_struct_0(A), B, C))=k5_struct_0(A)) ) ) ) ) ) ) ).
fof(t22_realset2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k8_struct_0(A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), k8_struct_0(A)) =>  (k8_group_1(A, B, C)=k5_struct_0(A) => C=k3_funct_2(k8_struct_0(A), k8_struct_0(A), k5_realset2(A), B)) ) ) ) ) ) ) ).
fof(t23_realset2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k8_struct_0(A)) => B=k3_funct_2(k8_struct_0(A), k8_struct_0(A), k5_realset2(A), k3_funct_2(k8_struct_0(A), k8_struct_0(A), k5_realset2(A), B))) ) ) ) ).
fof(t24_realset2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k8_struct_0(A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), k8_struct_0(A)) =>  (m2_subset_1(k4_binop_1(u1_struct_0(A), k4_realset2(A), B, C), u1_struct_0(A), k8_struct_0(A)) & m2_subset_1(k3_funct_2(k8_struct_0(A), k8_struct_0(A), k5_realset2(A), B), u1_struct_0(A), k8_struct_0(A))) ) ) ) ) ) ) ).
fof(t25_realset2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k3_rlvect_1(A, B, C)=k3_rlvect_1(A, B, D) => C=D) ) ) ) ) ) ) ) ) ).
fof(t26_realset2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k8_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k8_group_1(A, B, C)=k8_group_1(A, B, D) => C=D) ) ) ) ) ) ) ) ) ).
fof(dt_k1_realset2, axiom,  (v1_funct_1(k1_realset2) &  (v1_funct_2(k1_realset2, k2_zfmisc_1(2, 2), 2) & m1_subset_1(k1_realset2, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(2, 2), 2)))) ) ).
fof(dt_k2_realset2, axiom,  (v1_funct_1(k2_realset2) &  (v1_funct_2(k2_realset2, k2_zfmisc_1(2, 2), 2) & m1_subset_1(k2_realset2, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(2, 2), 2)))) ) ).
fof(dt_k3_realset2, axiom, l6_algstr_0(k3_realset2)).
fof(dt_k4_realset2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v1_realset2(A) & l6_algstr_0(A)) ) ) ) ) ) )  => m3_realset1(k4_realset2(A), u1_struct_0(A), k4_struct_0(A))) ) ).
fof(dt_k5_realset2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k5_realset2(A)) &  (v1_funct_2(k5_realset2(A), k8_struct_0(A), k8_struct_0(A)) & m1_subset_1(k5_realset2(A), k1_zfmisc_1(k2_zfmisc_1(k8_struct_0(A), k8_struct_0(A))))) ) ) ) ).
fof(t1_realset3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  => k1_funct_1(k5_realset2(A), k5_struct_0(A))=k5_struct_0(A)) ) ).
fof(t2_realset3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k8_struct_0(A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), k8_struct_0(A)) => k1_funct_1(k5_realset2(A), k1_binop_1(k4_realset2(A), B, k3_funct_2(k8_struct_0(A), k8_struct_0(A), k5_realset2(A), C)))=k1_binop_1(k4_realset2(A), C, k3_funct_2(k8_struct_0(A), k8_struct_0(A), k5_realset2(A), B))) ) ) ) ) ) ).
fof(t3_realset3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k8_struct_0(A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), k8_struct_0(A)) => k1_funct_1(k5_realset2(A), k4_binop_1(u1_struct_0(A), k4_realset2(A), B, C))=k1_binop_1(k4_realset2(A), k3_funct_2(k8_struct_0(A), k8_struct_0(A), k5_realset2(A), B), k3_funct_2(k8_struct_0(A), k8_struct_0(A), k5_realset2(A), C))) ) ) ) ) ) ).
fof(t4_realset3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (k5_algstr_0(A, B, C)=k5_algstr_0(A, D, E) <=> k3_rlvect_1(A, B, E)=k3_rlvect_1(A, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_realset3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(A), k8_struct_0(A)) =>  (! [E] :  (m2_subset_1(E, u1_struct_0(A), k8_struct_0(A)) =>  (k1_binop_1(k4_realset2(A), B, k3_funct_2(k8_struct_0(A), k8_struct_0(A), k5_realset2(A), D))=k1_binop_1(k4_realset2(A), C, k3_funct_2(k8_struct_0(A), k8_struct_0(A), k5_realset2(A), E)) <=> k4_binop_1(u1_struct_0(A), k4_realset2(A), B, E)=k4_binop_1(u1_struct_0(A), k4_realset2(A), D, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_realset3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(A), k8_struct_0(A)) =>  (! [E] :  (m2_subset_1(E, u1_struct_0(A), k8_struct_0(A)) => k1_binop_1(k4_realset2(A), k1_binop_1(k4_realset2(A), B, k3_funct_2(k8_struct_0(A), k8_struct_0(A), k5_realset2(A), D)), k1_binop_1(k4_realset2(A), C, k3_funct_2(k8_struct_0(A), k8_struct_0(A), k5_realset2(A), E)))=k1_binop_1(k4_realset2(A), k4_binop_1(u1_struct_0(A), k4_realset2(A), B, C), k1_funct_1(k5_realset2(A), k4_binop_1(u1_struct_0(A), k4_realset2(A), D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t7_realset3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(A), k8_struct_0(A)) =>  (! [E] :  (m2_subset_1(E, u1_struct_0(A), k8_struct_0(A)) => k1_binop_1(u1_algstr_0(A), k1_binop_1(k4_realset2(A), B, k3_funct_2(k8_struct_0(A), k8_struct_0(A), k5_realset2(A), D)), k1_binop_1(k4_realset2(A), C, k3_funct_2(k8_struct_0(A), k8_struct_0(A), k5_realset2(A), E)))=k1_binop_1(k4_realset2(A), k4_binop_1(u1_struct_0(A), u1_algstr_0(A), k4_binop_1(u1_struct_0(A), k4_realset2(A), B, E), k4_binop_1(u1_struct_0(A), k4_realset2(A), C, D)), k1_funct_1(k5_realset2(A), k4_binop_1(u1_struct_0(A), k4_realset2(A), D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(d1_realset3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A))))) )  =>  (B=k1_realset3(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k4_binop_1(u1_struct_0(A), B, C, D)=k4_binop_1(u1_struct_0(A), u1_algstr_0(A), C, k3_funct_2(u1_struct_0(A), u1_struct_0(A), k4_vectsp_1(A), D))) ) ) ) ) ) ) ) ) ).
fof(t8_realset3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k4_binop_1(u1_struct_0(A), k1_realset3(A), B, B)=k4_struct_0(A)) ) ) ) ).
fof(t9_realset3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k4_binop_1(u1_struct_0(A), k4_realset2(A), B, k4_binop_1(u1_struct_0(A), k1_realset3(A), C, D))=k4_binop_1(u1_struct_0(A), k1_realset3(A), k4_binop_1(u1_struct_0(A), k4_realset2(A), B, C), k4_binop_1(u1_struct_0(A), k4_realset2(A), B, D))) ) ) ) ) ) ) ) ).
fof(t10_realset3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k4_binop_1(u1_struct_0(A), k4_realset2(A), k4_binop_1(u1_struct_0(A), k1_realset3(A), B, C), D)=k4_binop_1(u1_struct_0(A), k1_realset3(A), k4_binop_1(u1_struct_0(A), k4_realset2(A), B, D), k4_binop_1(u1_struct_0(A), k4_realset2(A), C, D))) ) ) ) ) ) ) ) ).
fof(t11_realset3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_binop_1(u1_struct_0(A), k1_realset3(A), B, C)=k3_funct_2(u1_struct_0(A), u1_struct_0(A), k4_vectsp_1(A), k4_binop_1(u1_struct_0(A), k1_realset3(A), C, B))) ) ) ) ) ) ).
fof(t12_realset3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_binop_1(u1_struct_0(A), k1_realset3(A), k3_funct_2(u1_struct_0(A), u1_struct_0(A), k4_vectsp_1(A), B), C)=k3_funct_2(u1_struct_0(A), u1_struct_0(A), k4_vectsp_1(A), k4_binop_1(u1_struct_0(A), u1_algstr_0(A), B, C))) ) ) ) ) ) ).
fof(t13_realset3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (k4_binop_1(u1_struct_0(A), k1_realset3(A), B, C)=k4_binop_1(u1_struct_0(A), k1_realset3(A), D, E) <=> k3_rlvect_1(A, B, E)=k3_rlvect_1(A, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_realset3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k4_binop_1(u1_struct_0(A), k1_realset3(A), k4_struct_0(A), B)=k3_funct_2(u1_struct_0(A), u1_struct_0(A), k4_vectsp_1(A), B)) ) ) ) ).
fof(t15_realset3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k4_binop_1(u1_struct_0(A), k1_realset3(A), B, k4_struct_0(A))=B) ) ) ) ).
fof(t16_realset3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k3_rlvect_1(A, B, C)=D <=> k4_binop_1(u1_struct_0(A), k1_realset3(A), D, B)=C) ) ) ) ) ) ) ) ) ).
fof(t17_realset3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k3_rlvect_1(A, B, C)=D <=> k4_binop_1(u1_struct_0(A), k1_realset3(A), D, C)=B) ) ) ) ) ) ) ) ) ).
fof(t18_realset3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k4_binop_1(u1_struct_0(A), k1_realset3(A), B, k4_binop_1(u1_struct_0(A), k1_realset3(A), C, D))=k4_binop_1(u1_struct_0(A), u1_algstr_0(A), k4_binop_1(u1_struct_0(A), k1_realset3(A), B, C), D)) ) ) ) ) ) ) ) ).
fof(t19_realset3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k4_binop_1(u1_struct_0(A), k1_realset3(A), B, k4_binop_1(u1_struct_0(A), u1_algstr_0(A), C, D))=k4_binop_1(u1_struct_0(A), k1_realset3(A), k4_binop_1(u1_struct_0(A), k1_realset3(A), B, C), D)) ) ) ) ) ) ) ) ).
fof(d2_realset3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(u1_struct_0(A), k8_struct_0(A)), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k8_struct_0(A)), u1_struct_0(A))))) )  =>  (B=k2_realset3(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(A), k8_struct_0(A)) => k2_binop_1(u1_struct_0(A), k8_struct_0(A), u1_struct_0(A), B, C, D)=k1_binop_1(k4_realset2(A), C, k3_funct_2(k8_struct_0(A), k8_struct_0(A), k5_realset2(A), D))) ) ) ) ) ) ) ) ) ).
fof(t20_realset3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k8_struct_0(A)) => k2_binop_1(u1_struct_0(A), k8_struct_0(A), u1_struct_0(A), k2_realset3(A), B, B)=k5_struct_0(A)) ) ) ) ).
fof(t21_realset3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(A), k8_struct_0(A)) => k4_binop_1(u1_struct_0(A), k4_realset2(A), B, k2_binop_1(u1_struct_0(A), k8_struct_0(A), u1_struct_0(A), k2_realset3(A), C, D))=k2_binop_1(u1_struct_0(A), k8_struct_0(A), u1_struct_0(A), k2_realset3(A), k4_binop_1(u1_struct_0(A), k4_realset2(A), B, C), D)) ) ) ) ) ) ) ) ).
fof(t22_realset3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k8_struct_0(A)) =>  (k4_binop_1(u1_struct_0(A), k4_realset2(A), B, k2_binop_1(u1_struct_0(A), k8_struct_0(A), u1_struct_0(A), k2_realset3(A), k5_struct_0(A), B))=k5_struct_0(A) & k4_binop_1(u1_struct_0(A), k4_realset2(A), k2_binop_1(u1_struct_0(A), k8_struct_0(A), u1_struct_0(A), k2_realset3(A), k5_struct_0(A), B), B)=k5_struct_0(A)) ) ) ) ) ).
fof(t23_realset3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k8_struct_0(A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), k8_struct_0(A)) => k2_binop_1(u1_struct_0(A), k8_struct_0(A), u1_struct_0(A), k2_realset3(A), B, C)=k1_funct_1(k5_realset2(A), k2_binop_1(u1_struct_0(A), k8_struct_0(A), u1_struct_0(A), k2_realset3(A), C, B))) ) ) ) ) ) ).
fof(t24_realset3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k8_struct_0(A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), k8_struct_0(A)) => k1_binop_1(k2_realset3(A), k3_funct_2(k8_struct_0(A), k8_struct_0(A), k5_realset2(A), B), C)=k1_funct_1(k5_realset2(A), k4_binop_1(u1_struct_0(A), k4_realset2(A), B, C))) ) ) ) ) ) ).
fof(t25_realset3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(A), k8_struct_0(A)) =>  (! [E] :  (m2_subset_1(E, u1_struct_0(A), k8_struct_0(A)) =>  (k2_binop_1(u1_struct_0(A), k8_struct_0(A), u1_struct_0(A), k2_realset3(A), B, D)=k2_binop_1(u1_struct_0(A), k8_struct_0(A), u1_struct_0(A), k2_realset3(A), C, E) <=> k4_binop_1(u1_struct_0(A), k4_realset2(A), B, E)=k4_binop_1(u1_struct_0(A), k4_realset2(A), D, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_realset3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k8_struct_0(A)) => k2_binop_1(u1_struct_0(A), k8_struct_0(A), u1_struct_0(A), k2_realset3(A), k5_struct_0(A), B)=k3_funct_2(k8_struct_0(A), k8_struct_0(A), k5_realset2(A), B)) ) ) ) ).
fof(t27_realset3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_binop_1(k2_realset3(A), B, k5_struct_0(A))=B) ) ) ) ).
fof(t28_realset3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_subset_1(B, u1_struct_0(A), k8_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k4_binop_1(u1_struct_0(A), k4_realset2(A), B, C)=D <=> k2_binop_1(u1_struct_0(A), k8_struct_0(A), u1_struct_0(A), k2_realset3(A), D, B)=C) ) ) ) ) ) ) ) ) ).
fof(t29_realset3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(A), k8_struct_0(A)) =>  (k4_binop_1(u1_struct_0(A), k4_realset2(A), B, D)=C <=> k2_binop_1(u1_struct_0(A), k8_struct_0(A), u1_struct_0(A), k2_realset3(A), C, D)=B) ) ) ) ) ) ) ) ) ).
fof(t30_realset3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), k8_struct_0(A)) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(A), k8_struct_0(A)) => k1_binop_1(k2_realset3(A), B, k2_binop_1(u1_struct_0(A), k8_struct_0(A), u1_struct_0(A), k2_realset3(A), C, D))=k4_binop_1(u1_struct_0(A), k4_realset2(A), k2_binop_1(u1_struct_0(A), k8_struct_0(A), u1_struct_0(A), k2_realset3(A), B, C), D)) ) ) ) ) ) ) ) ).
fof(t31_realset3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_subset_1(C, u1_struct_0(A), k8_struct_0(A)) =>  (! [D] :  (m2_subset_1(D, u1_struct_0(A), k8_struct_0(A)) => k1_binop_1(k2_realset3(A), B, k4_binop_1(u1_struct_0(A), k4_realset2(A), C, D))=k2_binop_1(u1_struct_0(A), k8_struct_0(A), u1_struct_0(A), k2_realset3(A), k2_binop_1(u1_struct_0(A), k8_struct_0(A), u1_struct_0(A), k2_realset3(A), B, C), D)) ) ) ) ) ) ) ) ).
fof(dt_k1_realset3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k1_realset3(A)) &  (v1_funct_2(k1_realset3(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(k1_realset3(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(dt_k2_realset3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k2_realset3(A)) &  (v1_funct_2(k2_realset3(A), k2_zfmisc_1(u1_struct_0(A), k8_struct_0(A)), u1_struct_0(A)) & m1_subset_1(k2_realset3(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k8_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(rc1_rearran1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (? [B] :  (m1_finseq_1(B, k1_zfmisc_1(A)) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k1_zfmisc_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) &  (v1_rearran1(B) &  (v2_rearran1(B) & v3_rearran1(B, k1_zfmisc_1(A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_rearran1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_rearran1(A) <=>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(B, k3_finseq_1(A)))  =>  (! [C] :  (v1_finset_1(C) =>  (C=k1_funct_1(A, B) => k4_card_1(C)=B) ) ) ) ) ) ) ) ) ).
fof(d2_rearran1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v2_rearran1(A) <=>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(B, k6_xcmplx_0(k3_finseq_1(A), 1)))  => r1_tarski(k1_funct_1(A, B), k1_funct_1(A, k1_nat_1(B, 1)))) ) ) ) ) ) ).
fof(d3_rearran1, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (v3_rearran1(B, A) <=>  (? [C] :  (v1_finset_1(C) &  (C=k3_tarski(A) & k3_finseq_1(B)=k4_card_1(C)) ) ) ) ) ) ) ).
fof(t1_rearran1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  (m2_finseq_1(B, k1_zfmisc_1(A)) =>  (v3_rearran1(B, k1_zfmisc_1(A)) <=> k3_finseq_1(B)=k4_card_1(A)) ) ) ) ) ).
fof(t2_rearran1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v2_rearran1(A) <=>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(B, C) &  (r2_tarski(B, k4_finseq_1(A)) & r2_tarski(C, k4_finseq_1(A))) )  => r1_tarski(k1_funct_1(A, B), k1_funct_1(A, C))) ) ) ) ) ) ) ) ).
fof(t3_rearran1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_rearran1(B) &  (v3_rearran1(B, k1_zfmisc_1(A)) & m2_finseq_1(B, k1_zfmisc_1(A))) )  => k1_funct_1(B, k3_finseq_1(B))=A) ) ) ) ).
fof(t4_rearran1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v3_rearran1(B, k1_zfmisc_1(A)) & m2_finseq_1(B, k1_zfmisc_1(A)))  =>  ~ (k3_finseq_1(B)=k5_numbers) ) ) ) ) ).
fof(t5_rearran1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_rearran1(B) &  (v2_rearran1(B) & m2_finseq_1(B, k1_zfmisc_1(A))) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(C, k4_finseq_1(B)) &  (r2_tarski(D, k4_finseq_1(B)) &  ( ~ (C=D)  & k1_funct_1(B, C)=k1_funct_1(B, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_rearran1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_rearran1(B) &  (v2_rearran1(B) & m2_finseq_1(B, k1_zfmisc_1(A))) )  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k6_xcmplx_0(k3_finseq_1(B), 1)) & k1_funct_1(B, C)=k1_funct_1(B, k1_nat_1(C, 1))) ) ) ) ) ) ) ) ) ).
fof(t7_rearran1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_rearran1(C) & m2_finseq_1(C, k1_zfmisc_1(B)))  =>  ~ ( (r2_tarski(A, k4_finseq_1(C)) & k1_funct_1(C, A)=k1_xboole_0) ) ) ) ) ) ) ) ).
fof(t8_rearran1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_rearran1(C) & m2_finseq_1(C, k1_zfmisc_1(B)))  =>  ~ ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, k6_xcmplx_0(k3_finseq_1(C), 1)) & k6_subset_1(k1_funct_1(C, k1_nat_1(A, 1)), k1_funct_1(C, A))=k1_xboole_0) ) ) ) ) ) ) ) ) ).
fof(t9_rearran1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_rearran1(B) &  (v3_rearran1(B, k1_zfmisc_1(A)) & m2_finseq_1(B, k1_zfmisc_1(A))) )  =>  (? [C] :  (m1_subset_1(C, A) & k1_funct_1(B, 1)=k1_tarski(C)) ) ) ) ) ) ).
fof(t10_rearran1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_rearran1(C) &  (v2_rearran1(C) & m2_finseq_1(C, k1_zfmisc_1(B))) )  =>  ~ ( (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, k6_xcmplx_0(k3_finseq_1(C), 1)) &  (! [D] :  (m1_subset_1(D, B) =>  ~ ( (k6_subset_1(k1_funct_1(C, k1_nat_1(A, 1)), k1_funct_1(C, A))=k1_tarski(D) &  (k1_funct_1(C, k1_nat_1(A, 1))=k2_xboole_0(k1_funct_1(C, A), k1_tarski(D)) & k6_subset_1(k1_funct_1(C, k1_nat_1(A, 1)), k1_tarski(D))=k1_funct_1(C, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_rearran1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( (v1_rearran1(B) &  (v2_rearran1(B) &  (v3_rearran1(B, k1_zfmisc_1(A)) & m2_finseq_1(B, k1_zfmisc_1(A))) ) )  =>  (! [C] :  ( (v1_rearran1(C) &  (v2_rearran1(C) &  (v3_rearran1(C, k1_zfmisc_1(A)) & m2_finseq_1(C, k1_zfmisc_1(A))) ) )  =>  (C=k2_rearran1(A, B) <=>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, k6_xcmplx_0(k3_finseq_1(C), 1)))  => k1_funct_1(C, D)=k6_subset_1(A, k1_funct_1(B, k6_xcmplx_0(k3_finseq_1(B), D)))) ) ) ) ) ) ) ) ) ) ).
fof(t12_rearran1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (! [D] :  ( (v1_rearran1(D) &  (v2_rearran1(D) &  (v3_rearran1(D, k1_zfmisc_1(A)) & m2_finseq_1(D, k1_zfmisc_1(A))) ) )  =>  ( (v1_partfun1(C, B) & k4_card_1(A)=k4_card_1(B))  => k3_finseq_1(k3_rfinseq(k20_rfunct_3(B, C, B)))=k3_finseq_1(k15_rfunct_3(A, D))) ) ) ) ) ) ) ) ) ).
fof(d5_rearran1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_rearran1(C) &  (v2_rearran1(C) &  (v3_rearran1(C, k1_zfmisc_1(B)) & m2_finseq_1(C, k1_zfmisc_1(B))) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  => k3_rearran1(A, B, C, D)=k14_rfunct_3(B, k16_rfunct_3(B, k15_rfunct_3(B, C), k3_rfinseq(k20_rfunct_3(A, D, A))))) ) ) ) ) ) ) ) ).
fof(d6_rearran1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_rearran1(C) &  (v2_rearran1(C) &  (v3_rearran1(C, k1_zfmisc_1(B)) & m2_finseq_1(C, k1_zfmisc_1(B))) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  => k4_rearran1(A, B, C, D)=k14_rfunct_3(B, k16_rfunct_3(B, k15_rfunct_3(B, k2_rearran1(B, C)), k3_rfinseq(k20_rfunct_3(A, D, A))))) ) ) ) ) ) ) ) ).
fof(t13_rearran1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (! [D] :  ( (v1_rearran1(D) &  (v2_rearran1(D) &  (v3_rearran1(D, k1_zfmisc_1(A)) & m2_finseq_1(D, k1_zfmisc_1(A))) ) )  =>  ( (v1_partfun1(C, B) & k4_card_1(A)=k4_card_1(B))  => k1_relset_1(A, k3_rearran1(B, A, D, C))=A) ) ) ) ) ) ) ) ) ).
fof(t14_rearran1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (! [E] :  ( (v1_rearran1(E) &  (v2_rearran1(E) &  (v3_rearran1(E, k1_zfmisc_1(A)) & m2_finseq_1(E, k1_zfmisc_1(A))) ) )  =>  ( (v1_partfun1(D, B) & k4_card_1(A)=k4_card_1(B))  =>  ( (r2_tarski(C, k1_funct_1(E, 1)) => k17_rfunct_3(A, k16_rfunct_3(A, k15_rfunct_3(A, E), k3_rfinseq(k20_rfunct_3(B, D, B))), C)=k3_rfinseq(k20_rfunct_3(B, D, B)))  &  (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(1, F) & r2_tarski(C, k6_subset_1(k1_funct_1(E, k1_nat_1(F, 1)), k1_funct_1(E, F))))  =>  (r1_xxreal_0(k3_finseq_1(E), F) | k17_rfunct_3(A, k16_rfunct_3(A, k15_rfunct_3(A, E), k3_rfinseq(k20_rfunct_3(B, D, B))), C)=k7_finseq_1(k2_finseq_2(F, k5_numbers), k3_rfinseq(k2_rfinseq(k1_numbers, F, k20_rfunct_3(B, D, B))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_rearran1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (! [E] :  ( (v1_rearran1(E) &  (v2_rearran1(E) &  (v3_rearran1(E, k1_zfmisc_1(A)) & m2_finseq_1(E, k1_zfmisc_1(A))) ) )  =>  ( (v1_partfun1(D, B) & k4_card_1(A)=k4_card_1(B))  =>  ( (r2_tarski(C, k1_funct_1(E, 1)) => k1_funct_1(k3_rearran1(B, A, E, D), C)=k1_funct_1(k20_rfunct_3(B, D, B), 1))  &  (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(1, F) & r2_tarski(C, k6_subset_1(k1_funct_1(E, k1_nat_1(F, 1)), k1_funct_1(E, F))))  =>  (r1_xxreal_0(k3_finseq_1(E), F) | k1_funct_1(k3_rearran1(B, A, E, D), C)=k1_funct_1(k20_rfunct_3(B, D, B), k1_nat_1(F, 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_rearran1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (! [D] :  ( (v1_rearran1(D) &  (v2_rearran1(D) &  (v3_rearran1(D, k1_zfmisc_1(A)) & m2_finseq_1(D, k1_zfmisc_1(A))) ) )  =>  ( (v1_partfun1(C, B) & k4_card_1(A)=k4_card_1(B))  => k1_rvsum_1(k3_rearran1(B, A, D, C))=k1_rvsum_1(k20_rfunct_3(B, C, B))) ) ) ) ) ) ) ) ) ).
fof(t17_rearran1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (! [D] :  ( (v1_rearran1(D) &  (v2_rearran1(D) &  (v3_rearran1(D, k1_zfmisc_1(A)) & m2_finseq_1(D, k1_zfmisc_1(A))) ) )  =>  ( (v1_partfun1(C, B) & k4_card_1(A)=k4_card_1(B))  => r2_classes1(k3_rearran1(B, A, D, C), k20_rfunct_3(B, C, B))) ) ) ) ) ) ) ) ) ).
fof(t18_rearran1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (! [D] :  ( (v1_rearran1(D) &  (v2_rearran1(D) &  (v3_rearran1(D, k1_zfmisc_1(A)) & m2_finseq_1(D, k1_zfmisc_1(A))) ) )  =>  ( (v1_partfun1(C, B) & k4_card_1(A)=k4_card_1(B))  => k20_rfunct_3(A, k3_rearran1(B, A, D, C), A)=k20_rfunct_3(B, C, B)) ) ) ) ) ) ) ) ) ).
fof(t19_rearran1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (! [D] :  ( (v1_rearran1(D) &  (v2_rearran1(D) &  (v3_rearran1(D, k1_zfmisc_1(A)) & m2_finseq_1(D, k1_zfmisc_1(A))) ) )  =>  ( (v1_partfun1(C, B) & k4_card_1(A)=k4_card_1(B))  => k21_rfunct_3(A, k3_rearran1(B, A, D, C), A)=k21_rfunct_3(B, C, B)) ) ) ) ) ) ) ) ) ).
fof(t20_rearran1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v1_finset_1(C))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k1_numbers))))  =>  (! [E] :  ( (v1_rearran1(E) &  (v2_rearran1(E) &  (v3_rearran1(E, k1_zfmisc_1(B)) & m2_finseq_1(E, k1_zfmisc_1(B))) ) )  =>  ( (v1_partfun1(D, C) & k4_card_1(B)=k4_card_1(C))  =>  (k20_rfunct_3(B, k15_valued_1(B, k1_numbers, k3_rearran1(C, B, E, D), A), B)=k20_rfunct_3(C, k15_valued_1(C, k1_numbers, D, A), C) & k21_rfunct_3(B, k15_valued_1(B, k1_numbers, k3_rearran1(C, B, E, D), A), B)=k21_rfunct_3(C, k15_valued_1(C, k1_numbers, D, A), C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_rearran1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (! [D] :  ( (v1_rearran1(D) &  (v2_rearran1(D) &  (v3_rearran1(D, k1_zfmisc_1(A)) & m2_finseq_1(D, k1_zfmisc_1(A))) ) )  =>  ( (v1_partfun1(C, B) & k4_card_1(A)=k4_card_1(B))  => k1_relset_1(A, k4_rearran1(B, A, D, C))=A) ) ) ) ) ) ) ) ) ).
fof(t22_rearran1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (! [E] :  ( (v1_rearran1(E) &  (v2_rearran1(E) &  (v3_rearran1(E, k1_zfmisc_1(A)) & m2_finseq_1(E, k1_zfmisc_1(A))) ) )  =>  ( (v1_partfun1(D, B) & k4_card_1(A)=k4_card_1(B))  =>  ( (r2_tarski(C, k1_funct_1(k2_rearran1(A, E), 1)) => k1_funct_1(k4_rearran1(B, A, E, D), C)=k1_funct_1(k20_rfunct_3(B, D, B), 1))  &  (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(1, F) & r2_tarski(C, k6_subset_1(k1_funct_1(k2_rearran1(A, E), k1_nat_1(F, 1)), k1_funct_1(k2_rearran1(A, E), F))))  =>  (r1_xxreal_0(k3_finseq_1(k2_rearran1(A, E)), F) | k1_funct_1(k4_rearran1(B, A, E, D), C)=k1_funct_1(k20_rfunct_3(B, D, B), k1_nat_1(F, 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_rearran1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (! [D] :  ( (v1_rearran1(D) &  (v2_rearran1(D) &  (v3_rearran1(D, k1_zfmisc_1(A)) & m2_finseq_1(D, k1_zfmisc_1(A))) ) )  =>  ( (v1_partfun1(C, B) & k4_card_1(A)=k4_card_1(B))  => k1_rvsum_1(k4_rearran1(B, A, D, C))=k1_rvsum_1(k20_rfunct_3(B, C, B))) ) ) ) ) ) ) ) ) ).
fof(t24_rearran1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (! [D] :  ( (v1_rearran1(D) &  (v2_rearran1(D) &  (v3_rearran1(D, k1_zfmisc_1(A)) & m2_finseq_1(D, k1_zfmisc_1(A))) ) )  =>  ( (v1_partfun1(C, B) & k4_card_1(A)=k4_card_1(B))  => r2_classes1(k4_rearran1(B, A, D, C), k20_rfunct_3(B, C, B))) ) ) ) ) ) ) ) ) ).
fof(t25_rearran1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (! [D] :  ( (v1_rearran1(D) &  (v2_rearran1(D) &  (v3_rearran1(D, k1_zfmisc_1(A)) & m2_finseq_1(D, k1_zfmisc_1(A))) ) )  =>  ( (v1_partfun1(C, B) & k4_card_1(A)=k4_card_1(B))  => k20_rfunct_3(A, k4_rearran1(B, A, D, C), A)=k20_rfunct_3(B, C, B)) ) ) ) ) ) ) ) ) ).
fof(t26_rearran1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (! [D] :  ( (v1_rearran1(D) &  (v2_rearran1(D) &  (v3_rearran1(D, k1_zfmisc_1(A)) & m2_finseq_1(D, k1_zfmisc_1(A))) ) )  =>  ( (v1_partfun1(C, B) & k4_card_1(A)=k4_card_1(B))  => k21_rfunct_3(A, k4_rearran1(B, A, D, C), A)=k21_rfunct_3(B, C, B)) ) ) ) ) ) ) ) ) ).
fof(t27_rearran1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v1_finset_1(C))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k1_numbers))))  =>  (! [E] :  ( (v1_rearran1(E) &  (v2_rearran1(E) &  (v3_rearran1(E, k1_zfmisc_1(B)) & m2_finseq_1(E, k1_zfmisc_1(B))) ) )  =>  ( (v1_partfun1(D, C) & k4_card_1(B)=k4_card_1(C))  =>  (k20_rfunct_3(B, k15_valued_1(B, k1_numbers, k4_rearran1(C, B, E, D), A), B)=k20_rfunct_3(C, k15_valued_1(C, k1_numbers, D, A), C) & k21_rfunct_3(B, k15_valued_1(B, k1_numbers, k4_rearran1(C, B, E, D), A), B)=k21_rfunct_3(C, k15_valued_1(C, k1_numbers, D, A), C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_rearran1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (! [D] :  ( (v1_rearran1(D) &  (v2_rearran1(D) &  (v3_rearran1(D, k1_zfmisc_1(A)) & m2_finseq_1(D, k1_zfmisc_1(A))) ) )  =>  ( (v1_partfun1(C, B) & k4_card_1(A)=k4_card_1(B))  =>  (r2_classes1(k4_rearran1(B, A, D, C), k3_rearran1(B, A, D, C)) &  (k20_rfunct_3(A, k4_rearran1(B, A, D, C), A)=k20_rfunct_3(A, k3_rearran1(B, A, D, C), A) & k21_rfunct_3(A, k4_rearran1(B, A, D, C), A)=k21_rfunct_3(A, k3_rearran1(B, A, D, C), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_rearran1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v1_finset_1(C))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k1_numbers))))  =>  (! [E] :  ( (v1_rearran1(E) &  (v2_rearran1(E) &  (v3_rearran1(E, k1_zfmisc_1(B)) & m2_finseq_1(E, k1_zfmisc_1(B))) ) )  =>  ( (v1_partfun1(D, C) & k4_card_1(B)=k4_card_1(C))  =>  (r2_classes1(k18_rfunct_3(B, k15_valued_1(B, k1_numbers, k3_rearran1(C, B, E, D), A)), k18_rfunct_3(C, k15_valued_1(C, k1_numbers, D, A))) &  (k20_rfunct_3(B, k18_rfunct_3(B, k15_valued_1(B, k1_numbers, k3_rearran1(C, B, E, D), A)), B)=k20_rfunct_3(C, k18_rfunct_3(C, k15_valued_1(C, k1_numbers, D, A)), C) & k21_rfunct_3(B, k18_rfunct_3(B, k15_valued_1(B, k1_numbers, k3_rearran1(C, B, E, D), A)), B)=k21_rfunct_3(C, k18_rfunct_3(C, k15_valued_1(C, k1_numbers, D, A)), C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_rearran1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v1_finset_1(C))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k1_numbers))))  =>  (! [E] :  ( (v1_rearran1(E) &  (v2_rearran1(E) &  (v3_rearran1(E, k1_zfmisc_1(B)) & m2_finseq_1(E, k1_zfmisc_1(B))) ) )  =>  ( (v1_partfun1(D, C) & k4_card_1(B)=k4_card_1(C))  =>  (r2_classes1(k19_rfunct_3(B, k15_valued_1(B, k1_numbers, k3_rearran1(C, B, E, D), A)), k19_rfunct_3(C, k15_valued_1(C, k1_numbers, D, A))) &  (k20_rfunct_3(B, k19_rfunct_3(B, k15_valued_1(B, k1_numbers, k3_rearran1(C, B, E, D), A)), B)=k20_rfunct_3(C, k19_rfunct_3(C, k15_valued_1(C, k1_numbers, D, A)), C) & k21_rfunct_3(B, k19_rfunct_3(B, k15_valued_1(B, k1_numbers, k3_rearran1(C, B, E, D), A)), B)=k21_rfunct_3(C, k19_rfunct_3(C, k15_valued_1(C, k1_numbers, D, A)), C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_rearran1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (! [D] :  ( (v1_rearran1(D) &  (v2_rearran1(D) &  (v3_rearran1(D, k1_zfmisc_1(A)) & m2_finseq_1(D, k1_zfmisc_1(A))) ) )  =>  ( (v1_partfun1(C, B) & k4_card_1(B)=k4_card_1(A))  =>  (k3_finseq_1(k20_rfunct_3(A, k3_rearran1(B, A, D, C), A))=k4_card_1(A) & r1_xxreal_0(1, k3_finseq_1(k20_rfunct_3(A, k3_rearran1(B, A, D, C), A)))) ) ) ) ) ) ) ) ) ) ).
fof(t32_rearran1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v1_finset_1(C))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k1_numbers))))  =>  (! [E] :  ( (v1_rearran1(E) &  (v2_rearran1(E) &  (v3_rearran1(E, k1_zfmisc_1(B)) & m2_finseq_1(E, k1_zfmisc_1(B))) ) )  =>  ( (v1_partfun1(D, C) &  (k4_card_1(C)=k4_card_1(B) & r2_tarski(A, k4_finseq_1(E))) )  => k17_finseq_1(k1_numbers, A, k20_rfunct_3(B, k3_rearran1(C, B, E, D), B))=k20_rfunct_3(B, k3_rearran1(C, B, E, D), k1_funct_1(E, A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_rearran1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v1_finset_1(C))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k1_numbers))))  =>  (! [E] :  ( (v1_rearran1(E) &  (v2_rearran1(E) &  (v3_rearran1(E, k1_zfmisc_1(B)) & m2_finseq_1(E, k1_zfmisc_1(B))) ) )  =>  ( (v1_partfun1(D, C) & k4_card_1(C)=k4_card_1(B))  => r2_relset_1(B, k1_numbers, k3_rearran1(C, B, E, k15_valued_1(C, k1_numbers, D, A)), k15_valued_1(B, k1_numbers, k3_rearran1(C, B, E, D), A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_rearran1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v1_finset_1(C))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k1_numbers))))  =>  (! [E] :  ( (v1_rearran1(E) &  (v2_rearran1(E) &  (v3_rearran1(E, k1_zfmisc_1(B)) & m2_finseq_1(E, k1_zfmisc_1(B))) ) )  =>  ( (v1_partfun1(D, C) & k4_card_1(B)=k4_card_1(C))  =>  (r2_classes1(k18_rfunct_3(B, k15_valued_1(B, k1_numbers, k4_rearran1(C, B, E, D), A)), k18_rfunct_3(C, k15_valued_1(C, k1_numbers, D, A))) &  (k20_rfunct_3(B, k18_rfunct_3(B, k15_valued_1(B, k1_numbers, k4_rearran1(C, B, E, D), A)), B)=k20_rfunct_3(C, k18_rfunct_3(C, k15_valued_1(C, k1_numbers, D, A)), C) & k21_rfunct_3(B, k18_rfunct_3(B, k15_valued_1(B, k1_numbers, k4_rearran1(C, B, E, D), A)), B)=k21_rfunct_3(C, k18_rfunct_3(C, k15_valued_1(C, k1_numbers, D, A)), C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_rearran1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v1_finset_1(C))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k1_numbers))))  =>  (! [E] :  ( (v1_rearran1(E) &  (v2_rearran1(E) &  (v3_rearran1(E, k1_zfmisc_1(B)) & m2_finseq_1(E, k1_zfmisc_1(B))) ) )  =>  ( (v1_partfun1(D, C) & k4_card_1(B)=k4_card_1(C))  =>  (r2_classes1(k19_rfunct_3(B, k15_valued_1(B, k1_numbers, k4_rearran1(C, B, E, D), A)), k19_rfunct_3(C, k15_valued_1(C, k1_numbers, D, A))) &  (k20_rfunct_3(B, k19_rfunct_3(B, k15_valued_1(B, k1_numbers, k4_rearran1(C, B, E, D), A)), B)=k20_rfunct_3(C, k19_rfunct_3(C, k15_valued_1(C, k1_numbers, D, A)), C) & k21_rfunct_3(B, k19_rfunct_3(B, k15_valued_1(B, k1_numbers, k4_rearran1(C, B, E, D), A)), B)=k21_rfunct_3(C, k19_rfunct_3(C, k15_valued_1(C, k1_numbers, D, A)), C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_rearran1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (! [D] :  ( (v1_rearran1(D) &  (v2_rearran1(D) &  (v3_rearran1(D, k1_zfmisc_1(A)) & m2_finseq_1(D, k1_zfmisc_1(A))) ) )  =>  ( (v1_partfun1(C, B) & k4_card_1(B)=k4_card_1(A))  =>  (k3_finseq_1(k20_rfunct_3(A, k4_rearran1(B, A, D, C), A))=k4_card_1(A) & r1_xxreal_0(1, k3_finseq_1(k20_rfunct_3(A, k4_rearran1(B, A, D, C), A)))) ) ) ) ) ) ) ) ) ) ).
fof(t37_rearran1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v1_finset_1(C))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k1_numbers))))  =>  (! [E] :  ( (v1_rearran1(E) &  (v2_rearran1(E) &  (v3_rearran1(E, k1_zfmisc_1(B)) & m2_finseq_1(E, k1_zfmisc_1(B))) ) )  =>  ( (v1_partfun1(D, C) &  (k4_card_1(C)=k4_card_1(B) & r2_tarski(A, k4_finseq_1(E))) )  => k17_finseq_1(k1_numbers, A, k20_rfunct_3(B, k4_rearran1(C, B, E, D), B))=k20_rfunct_3(B, k4_rearran1(C, B, E, D), k1_funct_1(k2_rearran1(B, E), A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_rearran1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v1_finset_1(C))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k1_numbers))))  =>  (! [E] :  ( (v1_rearran1(E) &  (v2_rearran1(E) &  (v3_rearran1(E, k1_zfmisc_1(B)) & m2_finseq_1(E, k1_zfmisc_1(B))) ) )  =>  ( (v1_partfun1(D, C) & k4_card_1(C)=k4_card_1(B))  => r2_relset_1(B, k1_numbers, k4_rearran1(C, B, E, k15_valued_1(C, k1_numbers, D, A)), k15_valued_1(B, k1_numbers, k4_rearran1(C, B, E, D), A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_rearran1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (! [D] :  ( (v1_rearran1(D) &  (v2_rearran1(D) &  (v3_rearran1(D, k1_zfmisc_1(A)) & m2_finseq_1(D, k1_zfmisc_1(A))) ) )  =>  ( (v1_partfun1(C, B) & k4_card_1(B)=k4_card_1(A))  =>  (r2_classes1(k3_rearran1(B, A, D, C), C) &  (r2_classes1(k4_rearran1(B, A, D, C), C) &  (k1_rvsum_1(k3_rearran1(B, A, D, C))=k1_rvsum_1(C) & k1_rvsum_1(k4_rearran1(B, A, D, C))=k1_rvsum_1(C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_rearran1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (v3_membered(B) &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  & v1_xreal_0(D)) ) )  => m2_rfunct_3(k1_rearran1(A, B, C, D), A, k1_numbers, k3_rfunct_3(A, k1_numbers))) ) ).
fof(redefinition_k1_rearran1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (v3_membered(B) &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  & v1_xreal_0(D)) ) )  => k1_rearran1(A, B, C, D)=k24_valued_1(C, D)) ) ).
fof(dt_k2_rearran1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  (v1_rearran1(B) &  (v2_rearran1(B) &  (v3_rearran1(B, k1_zfmisc_1(A)) & m1_finseq_1(B, k1_zfmisc_1(A))) ) ) )  =>  (v1_rearran1(k2_rearran1(A, B)) &  (v2_rearran1(k2_rearran1(A, B)) &  (v3_rearran1(k2_rearran1(A, B), k1_zfmisc_1(A)) & m2_finseq_1(k2_rearran1(A, B), k1_zfmisc_1(A))) ) ) ) ) ).
fof(involutiveness_k2_rearran1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  (v1_rearran1(B) &  (v2_rearran1(B) &  (v3_rearran1(B, k1_zfmisc_1(A)) & m1_finseq_1(B, k1_zfmisc_1(A))) ) ) )  => k2_rearran1(A, k2_rearran1(A, B))=B) ) ).
fof(dt_k3_rearran1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  &  ( (v1_rearran1(C) &  (v2_rearran1(C) &  (v3_rearran1(C, k1_zfmisc_1(B)) & m1_finseq_1(C, k1_zfmisc_1(B))) ) )  &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  =>  (v1_funct_1(k3_rearran1(A, B, C, D)) & m1_subset_1(k3_rearran1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) ) ) ).
fof(dt_k4_rearran1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  &  ( (v1_rearran1(C) &  (v2_rearran1(C) &  (v3_rearran1(C, k1_zfmisc_1(B)) & m1_finseq_1(C, k1_zfmisc_1(B))) ) )  &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  =>  (v1_funct_1(k4_rearran1(A, B, C, D)) & m1_subset_1(k4_rearran1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) ) ) ).
fof(s1_recdef_1, axiom,  ( (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (? [C] : p1_s1_recdef_1(A, B, C)) ) ) )  =>  (? [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  &  (k9_xtuple_0(A)=k4_ordinal1 &  (k1_funct_1(A, k5_numbers)=f1_s1_recdef_1 &  (! [B] :  (v7_ordinal1(B) => p1_s1_recdef_1(B, k1_funct_1(A, B), k1_funct_1(A, k1_nat_1(B, 1)))) ) ) ) ) ) ) ).
fof(s2_recdef_1, axiom,  ( (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, f1_s2_recdef_1) =>  (? [C] :  (m1_subset_1(C, f1_s2_recdef_1) & p1_s2_recdef_1(A, B, C)) ) ) ) ) )  =>  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, f1_s2_recdef_1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f1_s2_recdef_1)))) )  &  (k3_funct_2(k4_ordinal1, f1_s2_recdef_1, A, k5_numbers)=f2_s2_recdef_1 &  (! [B] :  (v7_ordinal1(B) => p1_s2_recdef_1(B, k1_funct_1(A, B), k3_funct_2(k4_ordinal1, f1_s2_recdef_1, A, k1_nat_1(B, 1)))) ) ) ) ) ) ).
fof(s3_recdef_1, axiom,  ( (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(f2_s3_recdef_1, A) |  (! [B] :  (? [C] : p1_s3_recdef_1(A, B, C)) ) ) ) ) )  =>  (? [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (k3_finseq_1(A)=f2_s3_recdef_1 &  ( (k1_funct_1(A, 1)=f1_s3_recdef_1 | f2_s3_recdef_1=k5_numbers)  &  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(1, B) =>  (r1_xxreal_0(f2_s3_recdef_1, B) | p1_s3_recdef_1(B, k1_funct_1(A, B), k1_funct_1(A, k1_nat_1(B, 1)))) ) ) ) ) ) ) ) ) ).
fof(s4_recdef_1, axiom,  ( (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(f3_s4_recdef_1, A) |  (! [B] :  (m1_subset_1(B, f1_s4_recdef_1) =>  (? [C] :  (m1_subset_1(C, f1_s4_recdef_1) & p1_s4_recdef_1(A, B, C)) ) ) ) ) ) ) )  =>  (? [A] :  (m2_finseq_1(A, f1_s4_recdef_1) &  (k3_finseq_1(A)=f3_s4_recdef_1 &  ( (k1_funct_1(A, 1)=f2_s4_recdef_1 | f3_s4_recdef_1=k5_numbers)  &  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(1, B) =>  (r1_xxreal_0(f3_s4_recdef_1, B) | p1_s4_recdef_1(B, k1_funct_1(A, B), k1_funct_1(A, k1_nat_1(B, 1)))) ) ) ) ) ) ) ) ) ).
fof(s5_recdef_1, axiom,  ( (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ~ ( (r1_xxreal_0(1, A) &  ( ~ (r1_xxreal_0(k3_finseq_1(f1_s5_recdef_1), A))  &  (! [C] :  ~ (p1_s5_recdef_1(k1_funct_1(f1_s5_recdef_1, k1_nat_1(A, 1)), B, C)) ) ) ) ) ) ) )  =>  (? [A] :  (? [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  &  (A=k1_funct_1(B, k3_finseq_1(B)) &  (k3_finseq_1(B)=k3_finseq_1(f1_s5_recdef_1) &  (k1_funct_1(B, 1)=k1_funct_1(f1_s5_recdef_1, 1) &  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(1, C) =>  (r1_xxreal_0(k3_finseq_1(f1_s5_recdef_1), C) | p1_s5_recdef_1(k1_funct_1(f1_s5_recdef_1, k1_nat_1(C, 1)), k1_funct_1(B, C), k1_funct_1(B, k1_nat_1(C, 1)))) ) ) ) ) ) ) ) ) ) ) ).
fof(s6_recdef_1, axiom,  (? [A] :  (? [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  &  (A=k1_funct_1(B, k3_finseq_1(B)) &  (k3_finseq_1(B)=k3_finseq_1(f1_s6_recdef_1) &  (k1_funct_1(B, 1)=k1_funct_1(f1_s6_recdef_1, 1) &  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(1, C) =>  (r1_xxreal_0(k3_finseq_1(f1_s6_recdef_1), C) | k1_funct_1(B, k1_nat_1(C, 1))=f2_s6_recdef_1(k1_funct_1(f1_s6_recdef_1, k1_nat_1(C, 1)), k1_funct_1(B, C))) ) ) ) ) ) ) ) ) ) ).
fof(s7_recdef_1, axiom,  ( ( (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(f2_s7_recdef_1, A) |  (! [B] :  (! [C] :  (! [D] :  ( (p1_s7_recdef_1(A, B, C) & p1_s7_recdef_1(A, B, D))  => C=D) ) ) ) ) ) ) )  &  ( (k3_finseq_1(f3_s7_recdef_1)=f2_s7_recdef_1 &  ( (k1_funct_1(f3_s7_recdef_1, 1)=f1_s7_recdef_1 | f2_s7_recdef_1=k5_numbers)  &  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(f2_s7_recdef_1, A) | p1_s7_recdef_1(A, k1_funct_1(f3_s7_recdef_1, A), k1_funct_1(f3_s7_recdef_1, k1_nat_1(A, 1)))) ) ) ) ) )  &  (k3_finseq_1(f4_s7_recdef_1)=f2_s7_recdef_1 &  ( (k1_funct_1(f4_s7_recdef_1, 1)=f1_s7_recdef_1 | f2_s7_recdef_1=k5_numbers)  &  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(f2_s7_recdef_1, A) | p1_s7_recdef_1(A, k1_funct_1(f4_s7_recdef_1, A), k1_funct_1(f4_s7_recdef_1, k1_nat_1(A, 1)))) ) ) ) ) ) ) )  => f3_s7_recdef_1=f4_s7_recdef_1) ).
fof(s8_recdef_1, axiom,  ( ( (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(f3_s8_recdef_1, A) |  (! [B] :  (m1_subset_1(B, f1_s8_recdef_1) =>  (! [C] :  (m1_subset_1(C, f1_s8_recdef_1) =>  (! [D] :  (m1_subset_1(D, f1_s8_recdef_1) =>  ( (p1_s8_recdef_1(A, B, C) & p1_s8_recdef_1(A, B, D))  => C=D) ) ) ) ) ) ) ) ) ) )  &  ( (k3_finseq_1(f4_s8_recdef_1)=f3_s8_recdef_1 &  ( (k1_funct_1(f4_s8_recdef_1, 1)=f2_s8_recdef_1 | f3_s8_recdef_1=k5_numbers)  &  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(f3_s8_recdef_1, A) | p1_s8_recdef_1(A, k1_funct_1(f4_s8_recdef_1, A), k1_funct_1(f4_s8_recdef_1, k1_nat_1(A, 1)))) ) ) ) ) )  &  (k3_finseq_1(f5_s8_recdef_1)=f3_s8_recdef_1 &  ( (k1_funct_1(f5_s8_recdef_1, 1)=f2_s8_recdef_1 | f3_s8_recdef_1=k5_numbers)  &  (! [A] :  (v7_ordinal1(A) =>  (r1_xxreal_0(1, A) =>  (r1_xxreal_0(f3_s8_recdef_1, A) | p1_s8_recdef_1(A, k1_funct_1(f5_s8_recdef_1, A), k1_funct_1(f5_s8_recdef_1, k1_nat_1(A, 1)))) ) ) ) ) ) ) )  => f4_s8_recdef_1=f5_s8_recdef_1) ).
fof(s9_recdef_1, axiom,  ( ( (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (r1_xxreal_0(1, A) &  (E=k1_funct_1(f1_s9_recdef_1, k1_nat_1(A, 1)) &  (p1_s9_recdef_1(E, B, C) & p1_s9_recdef_1(E, B, D)) ) )  =>  (r1_xxreal_0(k3_finseq_1(f1_s9_recdef_1), A) | C=D) ) ) ) ) ) ) )  &  ( (? [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (f2_s9_recdef_1=k1_funct_1(A, k3_finseq_1(A)) &  (k3_finseq_1(A)=k3_finseq_1(f1_s9_recdef_1) &  (k1_funct_1(A, 1)=k1_funct_1(f1_s9_recdef_1, 1) &  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(1, B) =>  (r1_xxreal_0(k3_finseq_1(f1_s9_recdef_1), B) | p1_s9_recdef_1(k1_funct_1(f1_s9_recdef_1, k1_nat_1(B, 1)), k1_funct_1(A, B), k1_funct_1(A, k1_nat_1(B, 1)))) ) ) ) ) ) ) ) )  &  (? [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (f3_s9_recdef_1=k1_funct_1(A, k3_finseq_1(A)) &  (k3_finseq_1(A)=k3_finseq_1(f1_s9_recdef_1) &  (k1_funct_1(A, 1)=k1_funct_1(f1_s9_recdef_1, 1) &  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(1, B) =>  (r1_xxreal_0(k3_finseq_1(f1_s9_recdef_1), B) | p1_s9_recdef_1(k1_funct_1(f1_s9_recdef_1, k1_nat_1(B, 1)), k1_funct_1(A, B), k1_funct_1(A, k1_nat_1(B, 1)))) ) ) ) ) ) ) ) ) ) )  => f2_s9_recdef_1=f3_s9_recdef_1) ).
fof(s10_recdef_1, axiom,  ( ( (? [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (f3_s10_recdef_1=k1_funct_1(A, k3_finseq_1(A)) &  (k3_finseq_1(A)=k3_finseq_1(f1_s10_recdef_1) &  (k1_funct_1(A, 1)=k1_funct_1(f1_s10_recdef_1, 1) &  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(1, B) =>  (r1_xxreal_0(k3_finseq_1(f1_s10_recdef_1), B) | k1_funct_1(A, k1_nat_1(B, 1))=f2_s10_recdef_1(k1_funct_1(f1_s10_recdef_1, k1_nat_1(B, 1)), k1_funct_1(A, B))) ) ) ) ) ) ) ) )  &  (? [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (f4_s10_recdef_1=k1_funct_1(A, k3_finseq_1(A)) &  (k3_finseq_1(A)=k3_finseq_1(f1_s10_recdef_1) &  (k1_funct_1(A, 1)=k1_funct_1(f1_s10_recdef_1, 1) &  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(1, B) =>  (r1_xxreal_0(k3_finseq_1(f1_s10_recdef_1), B) | k1_funct_1(A, k1_nat_1(B, 1))=f2_s10_recdef_1(k1_funct_1(f1_s10_recdef_1, k1_nat_1(B, 1)), k1_funct_1(A, B))) ) ) ) ) ) ) ) ) )  => f3_s10_recdef_1=f4_s10_recdef_1) ).
fof(s11_recdef_1, axiom,  ( ( (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (? [C] : p1_s11_recdef_1(A, B, C)) ) ) )  &  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  (! [D] :  ( (p1_s11_recdef_1(A, B, C) & p1_s11_recdef_1(A, B, D))  => C=D) ) ) ) ) ) )  =>  ( (? [A] :  (? [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  &  (A=k1_funct_1(B, f2_s11_recdef_1) &  (k9_xtuple_0(B)=k4_ordinal1 &  (k1_funct_1(B, k5_numbers)=f1_s11_recdef_1 &  (! [C] :  (v7_ordinal1(C) => p1_s11_recdef_1(C, k1_funct_1(B, C), k1_funct_1(B, k1_nat_1(C, 1)))) ) ) ) ) ) ) )  &  (! [A] :  (! [B] :  ~ ( ( (? [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  &  (A=k1_funct_1(C, f2_s11_recdef_1) &  (k9_xtuple_0(C)=k4_ordinal1 &  (k1_funct_1(C, k5_numbers)=f1_s11_recdef_1 &  (! [D] :  (v7_ordinal1(D) => p1_s11_recdef_1(D, k1_funct_1(C, D), k1_funct_1(C, k1_nat_1(D, 1)))) ) ) ) ) ) )  &  ( (? [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  &  (B=k1_funct_1(C, f2_s11_recdef_1) &  (k9_xtuple_0(C)=k4_ordinal1 &  (k1_funct_1(C, k5_numbers)=f1_s11_recdef_1 &  (! [D] :  (v7_ordinal1(D) => p1_s11_recdef_1(D, k1_funct_1(C, D), k1_funct_1(C, k1_nat_1(D, 1)))) ) ) ) ) ) )  &  ~ (A=B) ) ) ) ) ) ) ) ).
fof(s12_recdef_1, axiom,  ( (? [A] :  (? [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  &  (A=k1_funct_1(B, f2_s12_recdef_1) &  (k9_xtuple_0(B)=k4_ordinal1 &  (k1_funct_1(B, k5_numbers)=f1_s12_recdef_1 &  (! [C] :  (v7_ordinal1(C) => k1_funct_1(B, k1_nat_1(C, 1))=f3_s12_recdef_1(C, k1_funct_1(B, C))) ) ) ) ) ) ) )  &  (! [A] :  (! [B] :  ~ ( ( (? [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  &  (A=k1_funct_1(C, f2_s12_recdef_1) &  (k9_xtuple_0(C)=k4_ordinal1 &  (k1_funct_1(C, k5_numbers)=f1_s12_recdef_1 &  (! [D] :  (v7_ordinal1(D) => k1_funct_1(C, k1_nat_1(D, 1))=f3_s12_recdef_1(D, k1_funct_1(C, D))) ) ) ) ) ) )  &  ( (? [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  &  (B=k1_funct_1(C, f2_s12_recdef_1) &  (k9_xtuple_0(C)=k4_ordinal1 &  (k1_funct_1(C, k5_numbers)=f1_s12_recdef_1 &  (! [D] :  (v7_ordinal1(D) => k1_funct_1(C, k1_nat_1(D, 1))=f3_s12_recdef_1(D, k1_funct_1(C, D))) ) ) ) ) ) )  &  ~ (A=B) ) ) ) ) ) ) ).
fof(s13_recdef_1, axiom,  ( ( (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, f1_s13_recdef_1) =>  (? [C] :  (m1_subset_1(C, f1_s13_recdef_1) & p1_s13_recdef_1(A, B, C)) ) ) ) ) )  &  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, f1_s13_recdef_1) =>  (! [C] :  (m1_subset_1(C, f1_s13_recdef_1) =>  (! [D] :  (m1_subset_1(D, f1_s13_recdef_1) =>  ( (p1_s13_recdef_1(A, B, C) & p1_s13_recdef_1(A, B, D))  => C=D) ) ) ) ) ) ) ) ) )  =>  ( (? [A] :  (m1_subset_1(A, f1_s13_recdef_1) &  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, f1_s13_recdef_1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f1_s13_recdef_1)))) )  &  (A=k1_funct_1(B, f3_s13_recdef_1) &  (k3_funct_2(k4_ordinal1, f1_s13_recdef_1, B, k5_numbers)=f2_s13_recdef_1 &  (! [C] :  (v7_ordinal1(C) => p1_s13_recdef_1(C, k1_funct_1(B, C), k3_funct_2(k4_ordinal1, f1_s13_recdef_1, B, k1_nat_1(C, 1)))) ) ) ) ) ) ) )  &  (! [A] :  (m1_subset_1(A, f1_s13_recdef_1) =>  (! [B] :  (m1_subset_1(B, f1_s13_recdef_1) =>  ~ ( ( (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, f1_s13_recdef_1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f1_s13_recdef_1)))) )  &  (A=k1_funct_1(C, f3_s13_recdef_1) &  (k3_funct_2(k4_ordinal1, f1_s13_recdef_1, C, k5_numbers)=f2_s13_recdef_1 &  (! [D] :  (v7_ordinal1(D) => p1_s13_recdef_1(D, k1_funct_1(C, D), k3_funct_2(k4_ordinal1, f1_s13_recdef_1, C, k1_nat_1(D, 1)))) ) ) ) ) )  &  ( (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, f1_s13_recdef_1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f1_s13_recdef_1)))) )  &  (B=k1_funct_1(C, f3_s13_recdef_1) &  (k3_funct_2(k4_ordinal1, f1_s13_recdef_1, C, k5_numbers)=f2_s13_recdef_1 &  (! [D] :  (v7_ordinal1(D) => p1_s13_recdef_1(D, k1_funct_1(C, D), k3_funct_2(k4_ordinal1, f1_s13_recdef_1, C, k1_nat_1(D, 1)))) ) ) ) ) )  &  ~ (A=B) ) ) ) ) ) ) ) ) ) ).
fof(s14_recdef_1, axiom,  ( (? [A] :  (m1_subset_1(A, f1_s14_recdef_1) &  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, f1_s14_recdef_1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f1_s14_recdef_1)))) )  &  (A=k1_funct_1(B, f3_s14_recdef_1) &  (k3_funct_2(k4_ordinal1, f1_s14_recdef_1, B, k5_numbers)=f2_s14_recdef_1 &  (! [C] :  (v7_ordinal1(C) => k3_funct_2(k4_ordinal1, f1_s14_recdef_1, B, k1_nat_1(C, 1))=f4_s14_recdef_1(C, k1_funct_1(B, C))) ) ) ) ) ) ) )  &  (! [A] :  (m1_subset_1(A, f1_s14_recdef_1) =>  (! [B] :  (m1_subset_1(B, f1_s14_recdef_1) =>  ~ ( ( (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, f1_s14_recdef_1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f1_s14_recdef_1)))) )  &  (A=k1_funct_1(C, f3_s14_recdef_1) &  (k3_funct_2(k4_ordinal1, f1_s14_recdef_1, C, k5_numbers)=f2_s14_recdef_1 &  (! [D] :  (v7_ordinal1(D) => k3_funct_2(k4_ordinal1, f1_s14_recdef_1, C, k1_nat_1(D, 1))=f4_s14_recdef_1(D, k1_funct_1(C, D))) ) ) ) ) )  &  ( (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, f1_s14_recdef_1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f1_s14_recdef_1)))) )  &  (B=k1_funct_1(C, f3_s14_recdef_1) &  (k3_funct_2(k4_ordinal1, f1_s14_recdef_1, C, k5_numbers)=f2_s14_recdef_1 &  (! [D] :  (v7_ordinal1(D) => k3_funct_2(k4_ordinal1, f1_s14_recdef_1, C, k1_nat_1(D, 1))=f4_s14_recdef_1(D, k1_funct_1(C, D))) ) ) ) ) )  &  ~ (A=B) ) ) ) ) ) ) ) ) ).
fof(s15_recdef_1, axiom,  ( ( (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ~ ( (r1_xxreal_0(1, A) &  ( ~ (r1_xxreal_0(k3_finseq_1(f1_s15_recdef_1), A))  &  (! [C] :  ~ (p1_s15_recdef_1(k1_funct_1(f1_s15_recdef_1, k1_nat_1(A, 1)), B, C)) ) ) ) ) ) ) )  &  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (r1_xxreal_0(1, A) &  (E=k1_funct_1(f1_s15_recdef_1, k1_nat_1(A, 1)) &  (p1_s15_recdef_1(E, B, C) & p1_s15_recdef_1(E, B, D)) ) )  =>  (r1_xxreal_0(k3_finseq_1(f1_s15_recdef_1), A) | C=D) ) ) ) ) ) ) ) )  =>  ( (? [A] :  (? [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  &  (A=k1_funct_1(B, k3_finseq_1(B)) &  (k3_finseq_1(B)=k3_finseq_1(f1_s15_recdef_1) &  (k1_funct_1(B, 1)=k1_funct_1(f1_s15_recdef_1, 1) &  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(1, C) =>  (r1_xxreal_0(k3_finseq_1(f1_s15_recdef_1), C) | p1_s15_recdef_1(k1_funct_1(f1_s15_recdef_1, k1_nat_1(C, 1)), k1_funct_1(B, C), k1_funct_1(B, k1_nat_1(C, 1)))) ) ) ) ) ) ) ) ) )  &  (! [A] :  (! [B] :  ~ ( ( (? [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  &  (A=k1_funct_1(C, k3_finseq_1(C)) &  (k3_finseq_1(C)=k3_finseq_1(f1_s15_recdef_1) &  (k1_funct_1(C, 1)=k1_funct_1(f1_s15_recdef_1, 1) &  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(1, D) =>  (r1_xxreal_0(k3_finseq_1(f1_s15_recdef_1), D) | p1_s15_recdef_1(k1_funct_1(f1_s15_recdef_1, k1_nat_1(D, 1)), k1_funct_1(C, D), k1_funct_1(C, k1_nat_1(D, 1)))) ) ) ) ) ) ) ) )  &  ( (? [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  &  (B=k1_funct_1(C, k3_finseq_1(C)) &  (k3_finseq_1(C)=k3_finseq_1(f1_s15_recdef_1) &  (k1_funct_1(C, 1)=k1_funct_1(f1_s15_recdef_1, 1) &  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(1, D) =>  (r1_xxreal_0(k3_finseq_1(f1_s15_recdef_1), D) | p1_s15_recdef_1(k1_funct_1(f1_s15_recdef_1, k1_nat_1(D, 1)), k1_funct_1(C, D), k1_funct_1(C, k1_nat_1(D, 1)))) ) ) ) ) ) ) ) )  &  ~ (A=B) ) ) ) ) ) ) ) ).
fof(s16_recdef_1, axiom,  ( (? [A] :  (? [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  &  (A=k1_funct_1(B, k3_finseq_1(B)) &  (k3_finseq_1(B)=k3_finseq_1(f1_s16_recdef_1) &  (k1_funct_1(B, 1)=k1_funct_1(f1_s16_recdef_1, 1) &  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(1, C) =>  (r1_xxreal_0(k3_finseq_1(f1_s16_recdef_1), C) | k1_funct_1(B, k1_nat_1(C, 1))=f2_s16_recdef_1(k1_funct_1(f1_s16_recdef_1, k1_nat_1(C, 1)), k1_funct_1(B, C))) ) ) ) ) ) ) ) ) )  &  (! [A] :  (! [B] :  ~ ( ( (? [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  &  (A=k1_funct_1(C, k3_finseq_1(C)) &  (k3_finseq_1(C)=k3_finseq_1(f1_s16_recdef_1) &  (k1_funct_1(C, 1)=k1_funct_1(f1_s16_recdef_1, 1) &  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(1, D) =>  (r1_xxreal_0(k3_finseq_1(f1_s16_recdef_1), D) | k1_funct_1(C, k1_nat_1(D, 1))=f2_s16_recdef_1(k1_funct_1(f1_s16_recdef_1, k1_nat_1(D, 1)), k1_funct_1(C, D))) ) ) ) ) ) ) ) )  &  ( (? [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  &  (B=k1_funct_1(C, k3_finseq_1(C)) &  (k3_finseq_1(C)=k3_finseq_1(f1_s16_recdef_1) &  (k1_funct_1(C, 1)=k1_funct_1(f1_s16_recdef_1, 1) &  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(1, D) =>  (r1_xxreal_0(k3_finseq_1(f1_s16_recdef_1), D) | k1_funct_1(C, k1_nat_1(D, 1))=f2_s16_recdef_1(k1_funct_1(f1_s16_recdef_1, k1_nat_1(D, 1)), k1_funct_1(C, D))) ) ) ) ) ) ) ) )  &  ~ (A=B) ) ) ) ) ) ) ).
fof(s17_recdef_1, axiom,  ( (! [A] :  (v7_ordinal1(A) =>  ~ ( (r2_tarski(A, k2_finseq_1(f2_s17_recdef_1)) &  (! [B] :  (m1_subset_1(B, f1_s17_recdef_1) =>  ~ (p1_s17_recdef_1(A, B)) ) ) ) ) ) )  =>  (? [A] :  (m2_finseq_1(A, f1_s17_recdef_1) &  (k4_finseq_1(A)=k2_finseq_1(f2_s17_recdef_1) &  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k2_finseq_1(f2_s17_recdef_1)) => p1_s17_recdef_1(B, k7_partfun1(f1_s17_recdef_1, A, B))) ) ) ) ) ) ) ).
fof(s18_recdef_1, axiom,  ( (! [A] :  (v7_ordinal1(A) =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, k6_xcmplx_0(f3_s18_recdef_1, 1)))  =>  (! [B] :  (m1_subset_1(B, f1_s18_recdef_1) =>  (? [C] :  (m1_subset_1(C, f1_s18_recdef_1) & p1_s18_recdef_1(A, B, C)) ) ) ) ) ) )  =>  (? [A] :  (m2_finseq_1(A, f1_s18_recdef_1) &  (k3_finseq_1(A)=f3_s18_recdef_1 &  ( (k7_partfun1(f1_s18_recdef_1, A, 1)=f2_s18_recdef_1 | f3_s18_recdef_1=k5_numbers)  &  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(B, k6_xcmplx_0(f3_s18_recdef_1, 1)))  => p1_s18_recdef_1(B, k7_partfun1(f1_s18_recdef_1, A, B), k7_partfun1(f1_s18_recdef_1, A, k1_nat_1(B, 1)))) ) ) ) ) ) ) ) ).
fof(dt_k1_recdef_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v4_valued_0(A)) )  => m1_subset_1(k1_recdef_1(A, B), k4_ordinal1)) ) ).
fof(redefinition_k1_recdef_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v4_valued_0(A)) )  => k1_recdef_1(A, B)=k1_funct_1(A, B)) ) ).
fof(dt_f1_s2_recdef_1, axiom,  ~ (v1_xboole_0(f1_s2_recdef_1)) ).
fof(dt_f2_s2_recdef_1, axiom, m1_subset_1(f2_s2_recdef_1, f1_s2_recdef_1)).
fof(dt_f2_s3_recdef_1, axiom, v7_ordinal1(f2_s3_recdef_1)).
fof(dt_f1_s4_recdef_1, axiom,  ~ (v1_xboole_0(f1_s4_recdef_1)) ).
fof(dt_f2_s4_recdef_1, axiom, m1_subset_1(f2_s4_recdef_1, f1_s4_recdef_1)).
fof(dt_f3_s4_recdef_1, axiom, v7_ordinal1(f3_s4_recdef_1)).
fof(dt_f1_s5_recdef_1, axiom,  (v1_relat_1(f1_s5_recdef_1) &  (v1_funct_1(f1_s5_recdef_1) & v1_finseq_1(f1_s5_recdef_1)) ) ).
fof(dt_f1_s6_recdef_1, axiom,  (v1_relat_1(f1_s6_recdef_1) &  (v1_funct_1(f1_s6_recdef_1) & v1_finseq_1(f1_s6_recdef_1)) ) ).
fof(dt_f2_s7_recdef_1, axiom, v7_ordinal1(f2_s7_recdef_1)).
fof(dt_f3_s7_recdef_1, axiom,  (v1_relat_1(f3_s7_recdef_1) &  (v1_funct_1(f3_s7_recdef_1) & v1_finseq_1(f3_s7_recdef_1)) ) ).
fof(dt_f4_s7_recdef_1, axiom,  (v1_relat_1(f4_s7_recdef_1) &  (v1_funct_1(f4_s7_recdef_1) & v1_finseq_1(f4_s7_recdef_1)) ) ).
fof(dt_f1_s8_recdef_1, axiom,  ~ (v1_xboole_0(f1_s8_recdef_1)) ).
fof(dt_f2_s8_recdef_1, axiom, m1_subset_1(f2_s8_recdef_1, f1_s8_recdef_1)).
fof(dt_f3_s8_recdef_1, axiom, v7_ordinal1(f3_s8_recdef_1)).
fof(dt_f4_s8_recdef_1, axiom, m2_finseq_1(f4_s8_recdef_1, f1_s8_recdef_1)).
fof(dt_f5_s8_recdef_1, axiom, m2_finseq_1(f5_s8_recdef_1, f1_s8_recdef_1)).
fof(dt_f1_s9_recdef_1, axiom,  (v1_relat_1(f1_s9_recdef_1) &  (v1_funct_1(f1_s9_recdef_1) & v1_finseq_1(f1_s9_recdef_1)) ) ).
fof(dt_f1_s10_recdef_1, axiom,  (v1_relat_1(f1_s10_recdef_1) &  (v1_funct_1(f1_s10_recdef_1) & v1_finseq_1(f1_s10_recdef_1)) ) ).
fof(dt_f2_s11_recdef_1, axiom, v7_ordinal1(f2_s11_recdef_1)).
fof(dt_f2_s12_recdef_1, axiom, v7_ordinal1(f2_s12_recdef_1)).
fof(dt_f1_s13_recdef_1, axiom,  ~ (v1_xboole_0(f1_s13_recdef_1)) ).
fof(dt_f2_s13_recdef_1, axiom, m1_subset_1(f2_s13_recdef_1, f1_s13_recdef_1)).
fof(dt_f3_s13_recdef_1, axiom, v7_ordinal1(f3_s13_recdef_1)).
fof(dt_f1_s14_recdef_1, axiom,  ~ (v1_xboole_0(f1_s14_recdef_1)) ).
fof(dt_f2_s14_recdef_1, axiom, m1_subset_1(f2_s14_recdef_1, f1_s14_recdef_1)).
fof(dt_f3_s14_recdef_1, axiom, v7_ordinal1(f3_s14_recdef_1)).
fof(dt_f4_s14_recdef_1, axiom,  (! [A, B] : m1_subset_1(f4_s14_recdef_1(A, B), f1_s14_recdef_1)) ).
fof(dt_f1_s15_recdef_1, axiom,  (v1_relat_1(f1_s15_recdef_1) &  (v1_funct_1(f1_s15_recdef_1) & v1_finseq_1(f1_s15_recdef_1)) ) ).
fof(dt_f1_s16_recdef_1, axiom,  (v1_relat_1(f1_s16_recdef_1) &  (v1_funct_1(f1_s16_recdef_1) & v1_finseq_1(f1_s16_recdef_1)) ) ).
fof(dt_f1_s17_recdef_1, axiom,  ~ (v1_xboole_0(f1_s17_recdef_1)) ).
fof(dt_f2_s17_recdef_1, axiom, v7_ordinal1(f2_s17_recdef_1)).
fof(dt_f1_s18_recdef_1, axiom,  ~ (v1_xboole_0(f1_s18_recdef_1)) ).
fof(dt_f2_s18_recdef_1, axiom, m1_subset_1(f2_s18_recdef_1, f1_s18_recdef_1)).
fof(dt_f3_s18_recdef_1, axiom, m1_subset_1(f3_s18_recdef_1, k4_ordinal1)).
fof(d1_recdef_2, axiom,  (! [A] :  (v2_xtuple_0(A) =>  (! [B] :  (B=k4_xtuple_0(A) <=>  (! [C] :  (! [D] :  (! [E] :  (A=k3_xtuple_0(C, D, E) => B=C) ) ) ) ) ) ) ) ).
fof(d2_recdef_2, axiom,  (! [A] :  (v2_xtuple_0(A) =>  (! [B] :  (B=k5_xtuple_0(A) <=>  (! [C] :  (! [D] :  (! [E] :  (A=k3_xtuple_0(C, D, E) => B=D) ) ) ) ) ) ) ) ).
fof(d3_recdef_2, axiom,  (! [A] :  (v2_xtuple_0(A) =>  (! [B] :  (B=k2_xtuple_0(A) <=>  (! [C] :  (! [D] :  (! [E] :  (A=k3_xtuple_0(C, D, E) => B=E) ) ) ) ) ) ) ) ).
fof(t2_recdef_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (r2_hidden(A, k3_zfmisc_1(B, C, D)) =>  (r2_hidden(k4_xtuple_0(A), B) &  (r2_hidden(k5_xtuple_0(A), C) & r2_hidden(k2_xtuple_0(A), D)) ) ) ) ) ) ) ).
fof(t3_recdef_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (r2_hidden(A, k3_zfmisc_1(B, C, D)) => A=k3_xtuple_0(k4_xtuple_0(A), k5_xtuple_0(A), k2_xtuple_0(A))) ) ) ) ) ).
fof(d4_recdef_2, axiom,  (! [A] :  (v3_xtuple_0(A) =>  (! [B] :  (B=k7_xtuple_0(A) <=>  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (A=k6_xtuple_0(C, D, E, F) => B=C) ) ) ) ) ) ) ) ) ).
fof(d5_recdef_2, axiom,  (! [A] :  (v3_xtuple_0(A) =>  (! [B] :  (B=k8_xtuple_0(A) <=>  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (A=k6_xtuple_0(C, D, E, F) => B=D) ) ) ) ) ) ) ) ) ).
fof(d6_recdef_2, axiom,  (! [A] :  (v3_xtuple_0(A) =>  (! [B] :  (B=k5_xtuple_0(A) <=>  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (A=k6_xtuple_0(C, D, E, F) => B=E) ) ) ) ) ) ) ) ) ).
fof(d7_recdef_2, axiom,  (! [A] :  (v3_xtuple_0(A) =>  (! [B] :  (B=k2_xtuple_0(A) <=>  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (A=k6_xtuple_0(C, D, E, F) => B=F) ) ) ) ) ) ) ) ) ).
fof(t5_recdef_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (r2_hidden(A, k4_zfmisc_1(B, C, D, E)) =>  (r2_hidden(k7_xtuple_0(A), B) &  (r2_hidden(k8_xtuple_0(A), C) &  (r2_hidden(k5_xtuple_0(A), D) & r2_hidden(k2_xtuple_0(A), E)) ) ) ) ) ) ) ) ) ).
fof(t6_recdef_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (r2_hidden(A, k4_zfmisc_1(B, C, D, E)) => A=k6_xtuple_0(k7_xtuple_0(A), k8_xtuple_0(A), k5_xtuple_0(A), k2_xtuple_0(A))) ) ) ) ) ) ).
fof(t10_recdef_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (k4_xtuple_0(A)=k4_xtuple_0(B) &  (k5_xtuple_0(A)=k5_xtuple_0(B) &  (k2_xtuple_0(A)=k2_xtuple_0(B) &  (r2_tarski(B, k3_zfmisc_1(C, D, E)) & r2_tarski(A, k3_zfmisc_1(C, D, E))) ) ) )  => A=B) ) ) ) ) ) ).
fof(s1_recdef_2, axiom,  ( ( (! [A] :  (r2_tarski(A, f1_s1_recdef_2) =>  ( ~ ( (p1_s1_recdef_2(A) & p2_s1_recdef_2(A)) )  &  ( ~ ( (p1_s1_recdef_2(A) & p3_s1_recdef_2(A)) )  &  ~ ( (p2_s1_recdef_2(A) & p3_s1_recdef_2(A)) ) ) ) ) )  &  (! [A] :  ~ ( (r2_tarski(A, f1_s1_recdef_2) &  ( ~ (p1_s1_recdef_2(A))  &  ( ~ (p2_s1_recdef_2(A))  &  ~ (p3_s1_recdef_2(A)) ) ) ) ) ) )  =>  (? [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  &  (k9_xtuple_0(A)=f1_s1_recdef_2 &  (! [B] :  (r2_tarski(B, f1_s1_recdef_2) =>  ( (p1_s1_recdef_2(B) => k1_funct_1(A, B)=f2_s1_recdef_2(B))  &  ( (p2_s1_recdef_2(B) => k1_funct_1(A, B)=f3_s1_recdef_2(B))  &  (p3_s1_recdef_2(B) => k1_funct_1(A, B)=f4_s1_recdef_2(B)) ) ) ) ) ) ) ) ) ).
fof(s2_recdef_2, axiom,  ( ( (! [A] :  (r2_tarski(A, f1_s2_recdef_2) =>  ( ~ ( (p1_s2_recdef_2(A) & p2_s2_recdef_2(A)) )  &  ( ~ ( (p1_s2_recdef_2(A) & p3_s2_recdef_2(A)) )  &  ( ~ ( (p1_s2_recdef_2(A) & p4_s2_recdef_2(A)) )  &  ( ~ ( (p2_s2_recdef_2(A) & p3_s2_recdef_2(A)) )  &  ( ~ ( (p2_s2_recdef_2(A) & p4_s2_recdef_2(A)) )  &  ~ ( (p3_s2_recdef_2(A) & p4_s2_recdef_2(A)) ) ) ) ) ) ) ) )  &  (! [A] :  ~ ( (r2_tarski(A, f1_s2_recdef_2) &  ( ~ (p1_s2_recdef_2(A))  &  ( ~ (p2_s2_recdef_2(A))  &  ( ~ (p3_s2_recdef_2(A))  &  ~ (p4_s2_recdef_2(A)) ) ) ) ) ) ) )  =>  (? [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  &  (k9_xtuple_0(A)=f1_s2_recdef_2 &  (! [B] :  (r2_tarski(B, f1_s2_recdef_2) =>  ( (p1_s2_recdef_2(B) => k1_funct_1(A, B)=f2_s2_recdef_2(B))  &  ( (p2_s2_recdef_2(B) => k1_funct_1(A, B)=f3_s2_recdef_2(B))  &  ( (p3_s2_recdef_2(B) => k1_funct_1(A, B)=f4_s2_recdef_2(B))  &  (p4_s2_recdef_2(B) => k1_funct_1(A, B)=f5_s2_recdef_2(B)) ) ) ) ) ) ) ) ) ) ).
fof(s3_recdef_2, axiom,  ( (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, f1_s3_recdef_2) =>  (! [C] :  (m1_subset_1(C, f2_s3_recdef_2) =>  (? [D] :  (m1_subset_1(D, f1_s3_recdef_2) &  (? [E] :  (m1_subset_1(E, f2_s3_recdef_2) & p1_s3_recdef_2(A, B, C, D, E)) ) ) ) ) ) ) ) ) )  =>  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, f1_s3_recdef_2) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f1_s3_recdef_2)))) )  &  (? [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, f2_s3_recdef_2) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f2_s3_recdef_2)))) )  &  (k3_funct_2(k4_ordinal1, f1_s3_recdef_2, A, k5_numbers)=f3_s3_recdef_2 &  (k3_funct_2(k4_ordinal1, f2_s3_recdef_2, B, k5_numbers)=f4_s3_recdef_2 &  (! [C] :  (v7_ordinal1(C) => p1_s3_recdef_2(C, k1_funct_1(A, C), k1_funct_1(B, C), k3_funct_2(k4_ordinal1, f1_s3_recdef_2, A, k1_nat_1(C, 1)), k3_funct_2(k4_ordinal1, f2_s3_recdef_2, B, k1_nat_1(C, 1)))) ) ) ) ) ) ) ) ) ).
fof(s4_recdef_2, axiom,  (? [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  &  (k9_xtuple_0(A)=k4_ordinal1 &  (k1_funct_1(A, k5_numbers)=f1_s4_recdef_2 &  (k1_funct_1(A, 1)=f2_s4_recdef_2 &  (! [B] :  (v7_ordinal1(B) => k1_funct_1(A, k1_nat_1(B, 2))=f3_s4_recdef_2(B, k1_funct_1(A, B), k1_funct_1(A, k1_nat_1(B, 1)))) ) ) ) ) ) ) ).
fof(s5_recdef_2, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, f1_s5_recdef_2) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f1_s5_recdef_2)))) )  &  (k3_funct_2(k4_ordinal1, f1_s5_recdef_2, A, k5_numbers)=f2_s5_recdef_2 &  (k3_funct_2(k4_ordinal1, f1_s5_recdef_2, A, 1)=f3_s5_recdef_2 &  (! [B] :  (v7_ordinal1(B) => k3_funct_2(k4_ordinal1, f1_s5_recdef_2, A, k1_nat_1(B, 2))=f4_s5_recdef_2(B, k1_funct_1(A, B), k3_funct_2(k4_ordinal1, f1_s5_recdef_2, A, k1_nat_1(B, 1)))) ) ) ) ) ) ).
fof(s6_recdef_2, axiom,  ( (k9_xtuple_0(f3_s6_recdef_2)=k4_ordinal1 &  ( (k1_funct_1(f3_s6_recdef_2, k5_numbers)=f1_s6_recdef_2 & k1_funct_1(f3_s6_recdef_2, 1)=f2_s6_recdef_2)  &  ( (! [A] :  (v7_ordinal1(A) => k1_funct_1(f3_s6_recdef_2, k1_nat_1(A, 2))=f5_s6_recdef_2(A, k1_funct_1(f3_s6_recdef_2, A), k1_funct_1(f3_s6_recdef_2, k1_nat_1(A, 1)))) )  &  (k9_xtuple_0(f4_s6_recdef_2)=k4_ordinal1 &  ( (k1_funct_1(f4_s6_recdef_2, k5_numbers)=f1_s6_recdef_2 & k1_funct_1(f4_s6_recdef_2, 1)=f2_s6_recdef_2)  &  (! [A] :  (v7_ordinal1(A) => k1_funct_1(f4_s6_recdef_2, k1_nat_1(A, 2))=f5_s6_recdef_2(A, k1_funct_1(f4_s6_recdef_2, A), k1_funct_1(f4_s6_recdef_2, k1_nat_1(A, 1)))) ) ) ) ) ) )  => f3_s6_recdef_2=f4_s6_recdef_2) ).
fof(s7_recdef_2, axiom,  ( ( (k3_funct_2(k4_ordinal1, f1_s7_recdef_2, f4_s7_recdef_2, k5_numbers)=f2_s7_recdef_2 & k3_funct_2(k4_ordinal1, f1_s7_recdef_2, f4_s7_recdef_2, 1)=f3_s7_recdef_2)  &  ( (! [A] :  (v7_ordinal1(A) => k3_funct_2(k4_ordinal1, f1_s7_recdef_2, f4_s7_recdef_2, k1_nat_1(A, 2))=f6_s7_recdef_2(A, k1_funct_1(f4_s7_recdef_2, A), k3_funct_2(k4_ordinal1, f1_s7_recdef_2, f4_s7_recdef_2, k1_nat_1(A, 1)))) )  &  ( (k3_funct_2(k4_ordinal1, f1_s7_recdef_2, f5_s7_recdef_2, k5_numbers)=f2_s7_recdef_2 & k3_funct_2(k4_ordinal1, f1_s7_recdef_2, f5_s7_recdef_2, 1)=f3_s7_recdef_2)  &  (! [A] :  (v7_ordinal1(A) => k3_funct_2(k4_ordinal1, f1_s7_recdef_2, f5_s7_recdef_2, k1_nat_1(A, 2))=f6_s7_recdef_2(A, k1_funct_1(f5_s7_recdef_2, A), k3_funct_2(k4_ordinal1, f1_s7_recdef_2, f5_s7_recdef_2, k1_nat_1(A, 1)))) ) ) ) )  => r2_funct_2(k4_ordinal1, f1_s7_recdef_2, f4_s7_recdef_2, f5_s7_recdef_2)) ).
fof(s8_recdef_2, axiom,  (? [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  &  (k9_xtuple_0(A)=k4_ordinal1 &  (k1_funct_1(A, k5_numbers)=f1_s8_recdef_2 &  (k1_funct_1(A, 1)=f2_s8_recdef_2 &  (k1_funct_1(A, 2)=f3_s8_recdef_2 &  (! [B] :  (v7_ordinal1(B) => k1_funct_1(A, k1_nat_1(B, 3))=f4_s8_recdef_2(B, k1_funct_1(A, B), k1_funct_1(A, k1_nat_1(B, 1)), k1_funct_1(A, k1_nat_1(B, 2)))) ) ) ) ) ) ) ) ).
fof(s9_recdef_2, axiom,  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, f1_s9_recdef_2) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f1_s9_recdef_2)))) )  &  (k3_funct_2(k4_ordinal1, f1_s9_recdef_2, A, k5_numbers)=f2_s9_recdef_2 &  (k3_funct_2(k4_ordinal1, f1_s9_recdef_2, A, 1)=f3_s9_recdef_2 &  (k3_funct_2(k4_ordinal1, f1_s9_recdef_2, A, 2)=f4_s9_recdef_2 &  (! [B] :  (v7_ordinal1(B) => k3_funct_2(k4_ordinal1, f1_s9_recdef_2, A, k1_nat_1(B, 3))=f5_s9_recdef_2(B, k1_funct_1(A, B), k3_funct_2(k4_ordinal1, f1_s9_recdef_2, A, k1_nat_1(B, 1)), k3_funct_2(k4_ordinal1, f1_s9_recdef_2, A, k1_nat_1(B, 2)))) ) ) ) ) ) ) ).
fof(s10_recdef_2, axiom,  ( (k9_xtuple_0(f4_s10_recdef_2)=k4_ordinal1 &  ( (k1_funct_1(f4_s10_recdef_2, k5_numbers)=f1_s10_recdef_2 &  (k1_funct_1(f4_s10_recdef_2, 1)=f2_s10_recdef_2 & k1_funct_1(f4_s10_recdef_2, 2)=f3_s10_recdef_2) )  &  ( (! [A] :  (v7_ordinal1(A) => k1_funct_1(f4_s10_recdef_2, k1_nat_1(A, 3))=f6_s10_recdef_2(A, k1_funct_1(f4_s10_recdef_2, A), k1_funct_1(f4_s10_recdef_2, k1_nat_1(A, 1)), k1_funct_1(f4_s10_recdef_2, k1_nat_1(A, 2)))) )  &  (k9_xtuple_0(f5_s10_recdef_2)=k4_ordinal1 &  ( (k1_funct_1(f5_s10_recdef_2, k5_numbers)=f1_s10_recdef_2 &  (k1_funct_1(f5_s10_recdef_2, 1)=f2_s10_recdef_2 & k1_funct_1(f5_s10_recdef_2, 2)=f3_s10_recdef_2) )  &  (! [A] :  (v7_ordinal1(A) => k1_funct_1(f5_s10_recdef_2, k1_nat_1(A, 3))=f6_s10_recdef_2(A, k1_funct_1(f5_s10_recdef_2, A), k1_funct_1(f5_s10_recdef_2, k1_nat_1(A, 1)), k1_funct_1(f5_s10_recdef_2, k1_nat_1(A, 2)))) ) ) ) ) ) )  => f4_s10_recdef_2=f5_s10_recdef_2) ).
fof(s11_recdef_2, axiom,  ( ( (k3_funct_2(k4_ordinal1, f1_s11_recdef_2, f5_s11_recdef_2, k5_numbers)=f2_s11_recdef_2 &  (k3_funct_2(k4_ordinal1, f1_s11_recdef_2, f5_s11_recdef_2, 1)=f3_s11_recdef_2 & k3_funct_2(k4_ordinal1, f1_s11_recdef_2, f5_s11_recdef_2, 2)=f4_s11_recdef_2) )  &  ( (! [A] :  (v7_ordinal1(A) => k3_funct_2(k4_ordinal1, f1_s11_recdef_2, f5_s11_recdef_2, k1_nat_1(A, 3))=f7_s11_recdef_2(A, k1_funct_1(f5_s11_recdef_2, A), k3_funct_2(k4_ordinal1, f1_s11_recdef_2, f5_s11_recdef_2, k1_nat_1(A, 1)), k3_funct_2(k4_ordinal1, f1_s11_recdef_2, f5_s11_recdef_2, k1_nat_1(A, 2)))) )  &  ( (k3_funct_2(k4_ordinal1, f1_s11_recdef_2, f6_s11_recdef_2, k5_numbers)=f2_s11_recdef_2 &  (k3_funct_2(k4_ordinal1, f1_s11_recdef_2, f6_s11_recdef_2, 1)=f3_s11_recdef_2 & k3_funct_2(k4_ordinal1, f1_s11_recdef_2, f6_s11_recdef_2, 2)=f4_s11_recdef_2) )  &  (! [A] :  (v7_ordinal1(A) => k3_funct_2(k4_ordinal1, f1_s11_recdef_2, f6_s11_recdef_2, k1_nat_1(A, 3))=f7_s11_recdef_2(A, k1_funct_1(f6_s11_recdef_2, A), k3_funct_2(k4_ordinal1, f1_s11_recdef_2, f6_s11_recdef_2, k1_nat_1(A, 1)), k3_funct_2(k4_ordinal1, f1_s11_recdef_2, f6_s11_recdef_2, k1_nat_1(A, 2)))) ) ) ) )  => r2_funct_2(k4_ordinal1, f1_s11_recdef_2, f5_s11_recdef_2, f6_s11_recdef_2)) ).
fof(s12_recdef_2, axiom,  ( (k9_xtuple_0(f5_s12_recdef_2)=k4_ordinal1 &  ( (k1_funct_1(f5_s12_recdef_2, k5_numbers)=f1_s12_recdef_2 &  (k1_funct_1(f5_s12_recdef_2, 1)=f2_s12_recdef_2 &  (k1_funct_1(f5_s12_recdef_2, 2)=f3_s12_recdef_2 & k1_funct_1(f5_s12_recdef_2, 3)=f4_s12_recdef_2) ) )  &  ( (! [A] :  (v7_ordinal1(A) => k1_funct_1(f5_s12_recdef_2, k1_nat_1(A, 4))=f7_s12_recdef_2(A, k1_funct_1(f5_s12_recdef_2, A), k1_funct_1(f5_s12_recdef_2, k1_nat_1(A, 1)), k1_funct_1(f5_s12_recdef_2, k1_nat_1(A, 2)), k1_funct_1(f5_s12_recdef_2, k1_nat_1(A, 3)))) )  &  (k9_xtuple_0(f6_s12_recdef_2)=k4_ordinal1 &  ( (k1_funct_1(f6_s12_recdef_2, k5_numbers)=f1_s12_recdef_2 &  (k1_funct_1(f6_s12_recdef_2, 1)=f2_s12_recdef_2 &  (k1_funct_1(f6_s12_recdef_2, 2)=f3_s12_recdef_2 & k1_funct_1(f6_s12_recdef_2, 3)=f4_s12_recdef_2) ) )  &  (! [A] :  (v7_ordinal1(A) => k1_funct_1(f6_s12_recdef_2, k1_nat_1(A, 4))=f7_s12_recdef_2(A, k1_funct_1(f6_s12_recdef_2, A), k1_funct_1(f6_s12_recdef_2, k1_nat_1(A, 1)), k1_funct_1(f6_s12_recdef_2, k1_nat_1(A, 2)), k1_funct_1(f6_s12_recdef_2, k1_nat_1(A, 3)))) ) ) ) ) ) )  => f5_s12_recdef_2=f6_s12_recdef_2) ).
fof(s13_recdef_2, axiom,  ( ( (k3_funct_2(k4_ordinal1, f1_s13_recdef_2, f6_s13_recdef_2, k5_numbers)=f2_s13_recdef_2 &  (k3_funct_2(k4_ordinal1, f1_s13_recdef_2, f6_s13_recdef_2, 1)=f3_s13_recdef_2 &  (k3_funct_2(k4_ordinal1, f1_s13_recdef_2, f6_s13_recdef_2, 2)=f4_s13_recdef_2 & k3_funct_2(k4_ordinal1, f1_s13_recdef_2, f6_s13_recdef_2, 3)=f5_s13_recdef_2) ) )  &  ( (! [A] :  (v7_ordinal1(A) => k3_funct_2(k4_ordinal1, f1_s13_recdef_2, f6_s13_recdef_2, k1_nat_1(A, 4))=f8_s13_recdef_2(A, k1_funct_1(f6_s13_recdef_2, A), k3_funct_2(k4_ordinal1, f1_s13_recdef_2, f6_s13_recdef_2, k1_nat_1(A, 1)), k3_funct_2(k4_ordinal1, f1_s13_recdef_2, f6_s13_recdef_2, k1_nat_1(A, 2)), k3_funct_2(k4_ordinal1, f1_s13_recdef_2, f6_s13_recdef_2, k1_nat_1(A, 3)))) )  &  ( (k3_funct_2(k4_ordinal1, f1_s13_recdef_2, f7_s13_recdef_2, k5_numbers)=f2_s13_recdef_2 &  (k3_funct_2(k4_ordinal1, f1_s13_recdef_2, f7_s13_recdef_2, 1)=f3_s13_recdef_2 &  (k3_funct_2(k4_ordinal1, f1_s13_recdef_2, f7_s13_recdef_2, 2)=f4_s13_recdef_2 & k3_funct_2(k4_ordinal1, f1_s13_recdef_2, f7_s13_recdef_2, 3)=f5_s13_recdef_2) ) )  &  (! [A] :  (v7_ordinal1(A) => k3_funct_2(k4_ordinal1, f1_s13_recdef_2, f7_s13_recdef_2, k1_nat_1(A, 4))=f8_s13_recdef_2(A, k1_funct_1(f7_s13_recdef_2, A), k3_funct_2(k4_ordinal1, f1_s13_recdef_2, f7_s13_recdef_2, k1_nat_1(A, 1)), k3_funct_2(k4_ordinal1, f1_s13_recdef_2, f7_s13_recdef_2, k1_nat_1(A, 2)), k3_funct_2(k4_ordinal1, f1_s13_recdef_2, f7_s13_recdef_2, k1_nat_1(A, 3)))) ) ) ) )  => r2_funct_2(k4_ordinal1, f1_s13_recdef_2, f6_s13_recdef_2, f7_s13_recdef_2)) ).
fof(dt_f1_s3_recdef_2, axiom,  ~ (v1_xboole_0(f1_s3_recdef_2)) ).
fof(dt_f2_s3_recdef_2, axiom,  ~ (v1_xboole_0(f2_s3_recdef_2)) ).
fof(dt_f3_s3_recdef_2, axiom, m1_subset_1(f3_s3_recdef_2, f1_s3_recdef_2)).
fof(dt_f4_s3_recdef_2, axiom, m1_subset_1(f4_s3_recdef_2, f2_s3_recdef_2)).
fof(dt_f1_s5_recdef_2, axiom,  ~ (v1_xboole_0(f1_s5_recdef_2)) ).
fof(dt_f2_s5_recdef_2, axiom, m1_subset_1(f2_s5_recdef_2, f1_s5_recdef_2)).
fof(dt_f3_s5_recdef_2, axiom, m1_subset_1(f3_s5_recdef_2, f1_s5_recdef_2)).
fof(dt_f4_s5_recdef_2, axiom,  (! [A, B, C] : m1_subset_1(f4_s5_recdef_2(A, B, C), f1_s5_recdef_2)) ).
fof(dt_f3_s6_recdef_2, axiom,  (v1_relat_1(f3_s6_recdef_2) & v1_funct_1(f3_s6_recdef_2)) ).
fof(dt_f4_s6_recdef_2, axiom,  (v1_relat_1(f4_s6_recdef_2) & v1_funct_1(f4_s6_recdef_2)) ).
fof(dt_f1_s7_recdef_2, axiom,  ~ (v1_xboole_0(f1_s7_recdef_2)) ).
fof(dt_f2_s7_recdef_2, axiom, m1_subset_1(f2_s7_recdef_2, f1_s7_recdef_2)).
fof(dt_f3_s7_recdef_2, axiom, m1_subset_1(f3_s7_recdef_2, f1_s7_recdef_2)).
fof(dt_f4_s7_recdef_2, axiom,  (v1_funct_1(f4_s7_recdef_2) &  (v1_funct_2(f4_s7_recdef_2, k4_ordinal1, f1_s7_recdef_2) & m1_subset_1(f4_s7_recdef_2, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f1_s7_recdef_2)))) ) ).
fof(dt_f5_s7_recdef_2, axiom,  (v1_funct_1(f5_s7_recdef_2) &  (v1_funct_2(f5_s7_recdef_2, k4_ordinal1, f1_s7_recdef_2) & m1_subset_1(f5_s7_recdef_2, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f1_s7_recdef_2)))) ) ).
fof(dt_f6_s7_recdef_2, axiom,  (! [A, B, C] : m1_subset_1(f6_s7_recdef_2(A, B, C), f1_s7_recdef_2)) ).
fof(dt_f1_s9_recdef_2, axiom,  ~ (v1_xboole_0(f1_s9_recdef_2)) ).
fof(dt_f2_s9_recdef_2, axiom, m1_subset_1(f2_s9_recdef_2, f1_s9_recdef_2)).
fof(dt_f3_s9_recdef_2, axiom, m1_subset_1(f3_s9_recdef_2, f1_s9_recdef_2)).
fof(dt_f4_s9_recdef_2, axiom, m1_subset_1(f4_s9_recdef_2, f1_s9_recdef_2)).
fof(dt_f5_s9_recdef_2, axiom,  (! [A, B, C, D] : m1_subset_1(f5_s9_recdef_2(A, B, C, D), f1_s9_recdef_2)) ).
fof(dt_f4_s10_recdef_2, axiom,  (v1_relat_1(f4_s10_recdef_2) & v1_funct_1(f4_s10_recdef_2)) ).
fof(dt_f5_s10_recdef_2, axiom,  (v1_relat_1(f5_s10_recdef_2) & v1_funct_1(f5_s10_recdef_2)) ).
fof(dt_f1_s11_recdef_2, axiom,  ~ (v1_xboole_0(f1_s11_recdef_2)) ).
fof(dt_f2_s11_recdef_2, axiom, m1_subset_1(f2_s11_recdef_2, f1_s11_recdef_2)).
fof(dt_f3_s11_recdef_2, axiom, m1_subset_1(f3_s11_recdef_2, f1_s11_recdef_2)).
fof(dt_f4_s11_recdef_2, axiom, m1_subset_1(f4_s11_recdef_2, f1_s11_recdef_2)).
fof(dt_f5_s11_recdef_2, axiom,  (v1_funct_1(f5_s11_recdef_2) &  (v1_funct_2(f5_s11_recdef_2, k4_ordinal1, f1_s11_recdef_2) & m1_subset_1(f5_s11_recdef_2, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f1_s11_recdef_2)))) ) ).
fof(dt_f6_s11_recdef_2, axiom,  (v1_funct_1(f6_s11_recdef_2) &  (v1_funct_2(f6_s11_recdef_2, k4_ordinal1, f1_s11_recdef_2) & m1_subset_1(f6_s11_recdef_2, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f1_s11_recdef_2)))) ) ).
fof(dt_f7_s11_recdef_2, axiom,  (! [A, B, C, D] : m1_subset_1(f7_s11_recdef_2(A, B, C, D), f1_s11_recdef_2)) ).
fof(dt_f5_s12_recdef_2, axiom,  (v1_relat_1(f5_s12_recdef_2) & v1_funct_1(f5_s12_recdef_2)) ).
fof(dt_f6_s12_recdef_2, axiom,  (v1_relat_1(f6_s12_recdef_2) & v1_funct_1(f6_s12_recdef_2)) ).
fof(dt_f1_s13_recdef_2, axiom,  ~ (v1_xboole_0(f1_s13_recdef_2)) ).
fof(dt_f2_s13_recdef_2, axiom, m1_subset_1(f2_s13_recdef_2, f1_s13_recdef_2)).
fof(dt_f3_s13_recdef_2, axiom, m1_subset_1(f3_s13_recdef_2, f1_s13_recdef_2)).
fof(dt_f4_s13_recdef_2, axiom, m1_subset_1(f4_s13_recdef_2, f1_s13_recdef_2)).
fof(dt_f5_s13_recdef_2, axiom, m1_subset_1(f5_s13_recdef_2, f1_s13_recdef_2)).
fof(dt_f6_s13_recdef_2, axiom,  (v1_funct_1(f6_s13_recdef_2) &  (v1_funct_2(f6_s13_recdef_2, k4_ordinal1, f1_s13_recdef_2) & m1_subset_1(f6_s13_recdef_2, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f1_s13_recdef_2)))) ) ).
fof(dt_f7_s13_recdef_2, axiom,  (v1_funct_1(f7_s13_recdef_2) &  (v1_funct_2(f7_s13_recdef_2, k4_ordinal1, f1_s13_recdef_2) & m1_subset_1(f7_s13_recdef_2, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, f1_s13_recdef_2)))) ) ).
fof(dt_f8_s13_recdef_2, axiom,  (! [A, B, C, D, E] : m1_subset_1(f8_s13_recdef_2(A, B, C, D, E), f1_s13_recdef_2)) ).
fof(cc1_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_relat_1(A)) ) ).
fof(cc2_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_relat_1(B)) ) ) ) ).
fof(fc1_relat_1, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_relat_1(k3_xboole_0(A, B))) ) ).
fof(fc2_relat_1, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_relat_1(k4_xboole_0(A, B))) ) ).
fof(fc3_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_relat_1(B))  => v1_relat_1(k2_xboole_0(A, B))) ) ).
fof(fc4_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_relat_1(B))  => v1_relat_1(k5_xboole_0(A, B))) ) ).
fof(fc5_relat_1, axiom,  (! [A, B] : v1_relat_1(k1_tarski(k4_tarski(A, B)))) ).
fof(fc6_relat_1, axiom,  (! [A, B] : v1_relat_1(k2_zfmisc_1(A, B))) ).
fof(fc7_relat_1, axiom,  (! [A, B, C, D] : v1_relat_1(k2_tarski(k4_tarski(A, B), k4_tarski(C, D)))) ).
fof(rc1_relat_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_relat_1(A)) ) ).
fof(fc8_relat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_relat_1(A))  =>  ~ (v1_xboole_0(k9_xtuple_0(A))) ) ) ).
fof(fc9_relat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_relat_1(A))  =>  ~ (v1_xboole_0(k10_xtuple_0(A))) ) ) ).
fof(fc10_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_xboole_0(k9_xtuple_0(A))) ) ).
fof(fc11_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_xboole_0(k10_xtuple_0(A))) ) ).
fof(fc12_relat_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_relat_1(B))  =>  (v1_xboole_0(k3_relat_1(A, B)) & v1_relat_1(k3_relat_1(A, B))) ) ) ).
fof(fc13_relat_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_relat_1(B))  =>  (v1_xboole_0(k3_relat_1(B, A)) & v1_relat_1(k3_relat_1(B, A))) ) ) ).
fof(fc14_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (v1_xboole_0(k2_relat_1(A)) & v1_relat_1(k2_relat_1(A))) ) ) ).
fof(rc2_relat_1, axiom,  (? [A] :  (v1_relat_1(A) & v2_relat_1(A)) ) ).
fof(fc15_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_relat_1(B) & v2_relat_1(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v2_relat_1(k3_relat_1(A, B))) ) ) ).
fof(rd1_relat_1, axiom,  (! [A] : k9_xtuple_0(k4_relat_1(A))=A) ).
fof(rd2_relat_1, axiom,  (! [A] : k10_xtuple_0(k4_relat_1(A))=A) ).
fof(rd3_relat_1, axiom,  (! [A] : k2_relat_1(k4_relat_1(A))=k4_relat_1(A)) ).
fof(fc16_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_xboole_0(B))  =>  (v1_xboole_0(k5_relat_1(A, B)) & v1_relat_1(k5_relat_1(A, B))) ) ) ).
fof(rd4_relat_1, axiom,  (! [A] :  (v1_relat_1(A) => k5_relat_1(A, k9_xtuple_0(A))=A) ) ).
fof(rd5_relat_1, axiom,  (! [A, B] :  (v1_relat_1(A) => k5_relat_1(k5_relat_1(A, B), B)=k5_relat_1(A, B)) ) ).
fof(fc17_relat_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_xboole_0(k5_relat_1(A, B)) & v1_relat_1(k5_relat_1(A, B))) ) ) ).
fof(fc18_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_xboole_0(B))  =>  (v1_xboole_0(k6_relat_1(B, A)) & v1_relat_1(k6_relat_1(B, A))) ) ) ).
fof(rd6_relat_1, axiom,  (! [A] :  (v1_relat_1(A) => k6_relat_1(k10_xtuple_0(A), A)=A) ) ).
fof(rd7_relat_1, axiom,  (! [A, B] :  (v1_relat_1(B) => k6_relat_1(A, k6_relat_1(A, B))=k6_relat_1(A, B)) ) ).
fof(fc19_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_xboole_0(B))  => v1_xboole_0(k7_relat_1(A, B))) ) ).
fof(fc20_relat_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_relat_1(A))  => v1_xboole_0(k7_relat_1(A, B))) ) ).
fof(fc21_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_xboole_0(B))  => v1_xboole_0(k8_relat_1(A, B))) ) ).
fof(fc22_relat_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_relat_1(A))  => v1_xboole_0(k8_relat_1(A, B))) ) ).
fof(cc3_relat_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v3_relat_1(A)) ) ) ).
fof(fc23_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v3_relat_1(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v3_relat_1(k5_relat_1(A, B))) ) ) ).
fof(fc24_relat_1, axiom,  (! [A] :  ( (v1_zfmisc_1(A) & v1_relat_1(A))  => v1_zfmisc_1(k9_xtuple_0(A))) ) ).
fof(fc25_relat_1, axiom,  (! [A] :  ( (v1_zfmisc_1(A) & v1_relat_1(A))  => v1_zfmisc_1(k10_xtuple_0(A))) ) ).
fof(rc3_relat_1, axiom,  (! [A, B] :  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ).
fof(fc26_relat_1, axiom,  (! [A, B, C] :  ( (v1_relat_1(C) & v5_relat_1(C, B))  =>  (v1_relat_1(k5_relat_1(C, A)) & v5_relat_1(k5_relat_1(C, A), B)) ) ) ).
fof(fc27_relat_1, axiom,  (! [A, B, C] :  ( (v1_relat_1(C) & v4_relat_1(C, B))  =>  (v1_relat_1(k5_relat_1(C, A)) &  (v4_relat_1(k5_relat_1(C, A), A) & v4_relat_1(k5_relat_1(C, A), B)) ) ) ) ).
fof(fc28_relat_1, axiom,  (! [A] :  (v1_relat_1(k4_relat_1(A)) &  (v4_relat_1(k4_relat_1(A), A) & v5_relat_1(k4_relat_1(A), A)) ) ) ).
fof(fc29_relat_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v5_relat_1(B, A))  & v1_relat_1(C))  =>  (v1_relat_1(k3_relat_1(C, B)) & v5_relat_1(k3_relat_1(C, B), A)) ) ) ).
fof(fc30_relat_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v4_relat_1(B, A))  & v1_relat_1(C))  =>  (v1_relat_1(k3_relat_1(B, C)) & v4_relat_1(k3_relat_1(B, C), A)) ) ) ).
fof(cc4_relat_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v2_relat_1(A)) ) ) ).
fof(cc5_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => v4_relat_1(C, A)) ) ) ) ).
fof(cc6_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => v5_relat_1(C, A)) ) ) ) ).
fof(rd8_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  => k5_relat_1(B, A)=B) ) ).
fof(rd9_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  => k6_relat_1(A, B)=B) ) ).
fof(fc31_relat_1, axiom,  (! [A, B, C] :  ( (v1_relat_1(C) & v4_relat_1(C, A))  =>  (v1_relat_1(k6_relat_1(B, C)) & v4_relat_1(k6_relat_1(B, C), A)) ) ) ).
fof(fc32_relat_1, axiom,  (! [A, B, C] :  ( (v1_relat_1(C) & v5_relat_1(C, B))  =>  (v1_relat_1(k6_relat_1(A, C)) &  (v5_relat_1(k6_relat_1(A, C), A) & v5_relat_1(k6_relat_1(A, C), B)) ) ) ) ).
fof(cc7_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  =>  (v1_xboole_0(B) &  (v1_relat_1(B) & v4_relat_1(B, A)) ) ) ) ) ) ).
fof(cc8_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_xboole_0(B) &  (v1_relat_1(B) & v5_relat_1(B, A)) ) ) ) ) ) ).
fof(d1_relat_1, axiom,  (! [A] :  (v1_relat_1(A) <=>  (! [B] :  ~ ( (r2_hidden(B, A) &  (! [C] :  (! [D] :  ~ (B=k4_tarski(C, D)) ) ) ) ) ) ) ) ).
fof(d2_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (A=B <=>  (! [C] :  (! [D] :  (r2_hidden(k4_tarski(C, D), A) <=> r2_hidden(k4_tarski(C, D), B)) ) ) ) ) ) ) ) ).
fof(d3_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r1_tarski(A, B) <=>  (! [C] :  (! [D] :  (r2_hidden(k4_tarski(C, D), A) => r2_hidden(k4_tarski(C, D), B)) ) ) ) ) ) ) ).
fof(t7_relat_1, axiom,  (! [A] :  (v1_relat_1(A) => r1_tarski(A, k2_zfmisc_1(k9_xtuple_0(A), k10_xtuple_0(A)))) ) ).
fof(t8_relat_1, axiom,  (! [A] :  (v1_relat_1(A) => k3_xboole_0(A, k2_zfmisc_1(k9_xtuple_0(A), k10_xtuple_0(A)))=A) ) ).
fof(t9_relat_1, axiom,  (! [A] :  (! [B] :  (k9_xtuple_0(k1_tarski(k4_tarski(A, B)))=k1_tarski(A) & k10_xtuple_0(k1_tarski(k4_tarski(A, B)))=k1_tarski(B)) ) ) ).
fof(t10_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (k9_xtuple_0(k2_tarski(k4_tarski(A, B), k4_tarski(C, D)))=k2_tarski(A, C) & k10_xtuple_0(k2_tarski(k4_tarski(A, B), k4_tarski(C, D)))=k2_tarski(B, D)) ) ) ) ) ).
fof(t11_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (r1_tarski(A, B) =>  (r1_tarski(k9_xtuple_0(A), k9_xtuple_0(B)) & r1_tarski(k10_xtuple_0(A), k10_xtuple_0(B))) ) ) ) ) ) ).
fof(t12_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) => k10_xtuple_0(k2_xboole_0(A, B))=k2_xboole_0(k10_xtuple_0(A), k10_xtuple_0(B))) ) ) ) ).
fof(t13_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) => r1_tarski(k10_xtuple_0(k3_xboole_0(A, B)), k3_xboole_0(k10_xtuple_0(A), k10_xtuple_0(B)))) ) ) ) ).
fof(t14_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) => r1_tarski(k6_subset_1(k10_xtuple_0(A), k10_xtuple_0(B)), k10_xtuple_0(k6_subset_1(A, B)))) ) ) ) ).
fof(d6_relat_1, axiom,  (! [A] :  (v1_relat_1(A) => k1_relat_1(A)=k2_xboole_0(k9_xtuple_0(A), k10_xtuple_0(A))) ) ).
fof(t15_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  (r2_hidden(k4_tarski(A, B), C) =>  (r2_hidden(A, k1_relat_1(C)) & r2_hidden(B, k1_relat_1(C))) ) ) ) ) ) ).
fof(t16_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (r1_tarski(A, B) => r1_tarski(k1_relat_1(A), k1_relat_1(B))) ) ) ) ) ).
fof(t17_relat_1, axiom,  (! [A] :  (! [B] : k1_relat_1(k1_tarski(k4_tarski(A, B)))=k2_tarski(A, B)) ) ).
fof(t18_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) => k1_relat_1(k2_xboole_0(A, B))=k2_xboole_0(k1_relat_1(A), k1_relat_1(B))) ) ) ) ).
fof(t19_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) => r1_tarski(k1_relat_1(k3_xboole_0(A, B)), k3_xboole_0(k1_relat_1(A), k1_relat_1(B)))) ) ) ) ).
fof(d7_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (B=k2_relat_1(A) <=>  (! [C] :  (! [D] :  (r2_hidden(k4_tarski(C, D), B) <=> r2_hidden(k4_tarski(D, C), A)) ) ) ) ) ) ) ) ).
fof(t20_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (k10_xtuple_0(A)=k9_xtuple_0(k2_relat_1(A)) & k9_xtuple_0(A)=k10_xtuple_0(k2_relat_1(A))) ) ) ).
fof(t21_relat_1, axiom,  (! [A] :  (v1_relat_1(A) => k1_relat_1(A)=k1_relat_1(k2_relat_1(A))) ) ).
fof(t22_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) => k2_relat_1(k3_xboole_0(A, B))=k3_xboole_0(k2_relat_1(A), k2_relat_1(B))) ) ) ) ).
fof(t23_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) => k2_relat_1(k2_xboole_0(A, B))=k2_xboole_0(k2_relat_1(A), k2_relat_1(B))) ) ) ) ).
fof(t24_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) => k2_relat_1(k6_subset_1(A, B))=k6_subset_1(k2_relat_1(A), k2_relat_1(B))) ) ) ) ).
fof(d8_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  (C=k3_relat_1(A, B) <=>  (! [D] :  (! [E] :  (r2_hidden(k4_tarski(D, E), C) <=>  (? [F] :  (r2_hidden(k4_tarski(D, F), A) & r2_hidden(k4_tarski(F, E), B)) ) ) ) ) ) ) ) ) ) ).
fof(t25_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) => r1_tarski(k9_xtuple_0(k3_relat_1(A, B)), k9_xtuple_0(A))) ) ) ) ).
fof(t26_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) => r1_tarski(k10_xtuple_0(k3_relat_1(A, B)), k10_xtuple_0(B))) ) ) ) ).
fof(t27_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (r1_tarski(k10_xtuple_0(B), k9_xtuple_0(A)) => k9_xtuple_0(k3_relat_1(B, A))=k9_xtuple_0(B)) ) ) ) ) ).
fof(t28_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (r1_tarski(k9_xtuple_0(A), k10_xtuple_0(B)) => k10_xtuple_0(k3_relat_1(B, A))=k10_xtuple_0(A)) ) ) ) ) ).
fof(t29_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v1_relat_1(C) =>  (r1_tarski(A, C) => r1_tarski(k3_relat_1(B, A), k3_relat_1(B, C))) ) ) ) ) ) ) ).
fof(t30_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v1_relat_1(C) =>  (r1_tarski(A, B) => r1_tarski(k3_relat_1(A, C), k3_relat_1(B, C))) ) ) ) ) ) ) ).
fof(t31_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v1_relat_1(C) =>  (! [D] :  (v1_relat_1(D) =>  ( (r1_tarski(A, C) & r1_tarski(B, D))  => r1_tarski(k3_relat_1(A, B), k3_relat_1(C, D))) ) ) ) ) ) ) ) ) ).
fof(t32_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v1_relat_1(C) => k3_relat_1(A, k2_xboole_0(C, B))=k2_xboole_0(k3_relat_1(A, C), k3_relat_1(A, B))) ) ) ) ) ) ).
fof(t33_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v1_relat_1(C) => r1_tarski(k3_relat_1(A, k3_xboole_0(C, B)), k3_xboole_0(k3_relat_1(A, C), k3_relat_1(A, B)))) ) ) ) ) ) ).
fof(t34_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v1_relat_1(C) => r1_tarski(k6_subset_1(k3_relat_1(A, C), k3_relat_1(A, B)), k3_relat_1(A, k6_subset_1(C, B)))) ) ) ) ) ) ).
fof(t35_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) => k2_relat_1(k3_relat_1(A, B))=k3_relat_1(k2_relat_1(B), k2_relat_1(A))) ) ) ) ).
fof(t36_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v1_relat_1(C) => k3_relat_1(k3_relat_1(A, C), B)=k3_relat_1(A, k3_relat_1(C, B))) ) ) ) ) ) ).
fof(t37_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  ( (! [B] :  (! [C] :  ~ (r2_hidden(k4_tarski(B, C), A)) ) )  => A=k1_xboole_0) ) ) ).
fof(t38_relat_1, axiom,  (k9_xtuple_0(k1_xboole_0)=k1_xboole_0 & k10_xtuple_0(k1_xboole_0)=k1_xboole_0) ).
fof(t39_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (k3_relat_1(k1_xboole_0, A)=k1_xboole_0 & k3_relat_1(A, k1_xboole_0)=k1_xboole_0) ) ) ).
fof(t40_relat_1, axiom, k1_relat_1(k1_xboole_0)=k1_xboole_0).
fof(t41_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  ( (k9_xtuple_0(A)=k1_xboole_0 | k10_xtuple_0(A)=k1_xboole_0)  => A=k1_xboole_0) ) ) ).
fof(t42_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (k9_xtuple_0(A)=k1_xboole_0 <=> k10_xtuple_0(A)=k1_xboole_0) ) ) ).
fof(t43_relat_1, axiom, k2_relat_1(k1_xboole_0)=k1_xboole_0).
fof(t44_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (r1_xboole_0(k10_xtuple_0(B), k9_xtuple_0(A)) => k3_relat_1(B, A)=k1_xboole_0) ) ) ) ) ).
fof(d9_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v2_relat_1(A) <=>  ~ (r2_tarski(k1_xboole_0, k10_xtuple_0(A))) ) ) ) ).
fof(d10_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (B=k4_relat_1(A) <=>  (! [C] :  (! [D] :  (r2_hidden(k4_tarski(C, D), B) <=>  (r2_hidden(C, A) & C=D) ) ) ) ) ) ) ) ).
fof(t45_relat_1, axiom,  (! [A] :  (k9_xtuple_0(k4_relat_1(A))=A & k10_xtuple_0(k4_relat_1(A))=A) ) ).
fof(t46_relat_1, axiom,  (! [A] : k2_relat_1(k4_relat_1(A))=k4_relat_1(A)) ).
fof(t47_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  ( (! [C] :  (r2_hidden(C, A) => r2_hidden(k4_tarski(C, C), B)) )  => r1_tarski(k4_relat_1(A), B)) ) ) ) ).
fof(t48_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (v1_relat_1(D) =>  (r2_hidden(k4_tarski(B, C), k3_relat_1(k4_relat_1(A), D)) <=>  (r2_hidden(B, A) & r2_hidden(k4_tarski(B, C), D)) ) ) ) ) ) ) ).
fof(t49_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (v1_relat_1(D) =>  (r2_hidden(k4_tarski(B, C), k3_relat_1(D, k4_relat_1(A))) <=>  (r2_hidden(C, A) & r2_hidden(k4_tarski(B, C), D)) ) ) ) ) ) ) ).
fof(t50_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (r1_tarski(k3_relat_1(B, k4_relat_1(A)), B) & r1_tarski(k3_relat_1(k4_relat_1(A), B), B)) ) ) ) ).
fof(t51_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (r1_tarski(k9_xtuple_0(B), A) => k3_relat_1(k4_relat_1(A), B)=B) ) ) ) ).
fof(t52_relat_1, axiom,  (! [A] :  (v1_relat_1(A) => k3_relat_1(k4_relat_1(k9_xtuple_0(A)), A)=A) ) ).
fof(t53_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (r1_tarski(k10_xtuple_0(B), A) => k3_relat_1(B, k4_relat_1(A))=B) ) ) ) ).
fof(t54_relat_1, axiom,  (! [A] :  (v1_relat_1(A) => k3_relat_1(A, k4_relat_1(k10_xtuple_0(A)))=A) ) ).
fof(t55_relat_1, axiom, k4_relat_1(k1_xboole_0)=k1_xboole_0).
fof(t56_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v1_relat_1(C) =>  (! [D] :  (v1_relat_1(D) =>  ( (r1_tarski(k10_xtuple_0(C), A) &  (k3_relat_1(C, D)=k4_relat_1(k9_xtuple_0(B)) & k3_relat_1(D, B)=k4_relat_1(A)) )  => B=C) ) ) ) ) ) ) ) ).
fof(d11_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (v1_relat_1(C) =>  (C=k5_relat_1(A, B) <=>  (! [D] :  (! [E] :  (r2_hidden(k4_tarski(D, E), C) <=>  (r2_hidden(D, B) & r2_hidden(k4_tarski(D, E), A)) ) ) ) ) ) ) ) ) ) ).
fof(t57_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  (r2_hidden(B, k9_xtuple_0(k5_relat_1(C, A))) <=>  (r2_hidden(B, A) & r2_hidden(B, k9_xtuple_0(C))) ) ) ) ) ) ).
fof(t58_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) => r1_tarski(k9_xtuple_0(k5_relat_1(B, A)), A)) ) ) ).
fof(t59_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) => r1_tarski(k5_relat_1(B, A), B)) ) ) ).
fof(t60_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) => r1_tarski(k9_xtuple_0(k5_relat_1(B, A)), k9_xtuple_0(B))) ) ) ).
fof(t61_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) => k9_xtuple_0(k5_relat_1(B, A))=k3_xboole_0(k9_xtuple_0(B), A)) ) ) ).
fof(t62_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (r1_tarski(A, k9_xtuple_0(B)) => k9_xtuple_0(k5_relat_1(B, A))=A) ) ) ) ).
fof(t63_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v1_relat_1(C) => r1_tarski(k3_relat_1(k5_relat_1(C, A), B), k3_relat_1(C, B))) ) ) ) ) ).
fof(t64_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v1_relat_1(C) => r1_tarski(k3_relat_1(B, k5_relat_1(C, A)), k3_relat_1(B, C))) ) ) ) ) ).
fof(t65_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) => k5_relat_1(B, A)=k3_relat_1(k4_relat_1(A), B)) ) ) ).
fof(t66_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (k5_relat_1(B, A)=k1_xboole_0 <=> r1_xboole_0(k9_xtuple_0(B), A)) ) ) ) ).
fof(t67_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) => k5_relat_1(B, A)=k3_xboole_0(B, k2_zfmisc_1(A, k10_xtuple_0(B)))) ) ) ).
fof(t68_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (r1_tarski(k9_xtuple_0(B), A) => k5_relat_1(B, A)=B) ) ) ) ).
fof(t69_relat_1, axiom,  (! [A] :  (v1_relat_1(A) => k5_relat_1(A, k9_xtuple_0(A))=A) ) ).
fof(t70_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) => r1_tarski(k10_xtuple_0(k5_relat_1(B, A)), k10_xtuple_0(B))) ) ) ).
fof(t71_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) => k5_relat_1(k5_relat_1(C, A), B)=k5_relat_1(C, k3_xboole_0(A, B))) ) ) ) ).
fof(t72_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) => k5_relat_1(k5_relat_1(B, A), A)=k5_relat_1(B, A)) ) ) ).
fof(t73_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  (r1_tarski(A, B) => k5_relat_1(k5_relat_1(C, A), B)=k5_relat_1(C, A)) ) ) ) ) ).
fof(t74_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  (r1_tarski(B, A) => k5_relat_1(k5_relat_1(C, A), B)=k5_relat_1(C, B)) ) ) ) ) ).
fof(t75_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  (r1_tarski(A, B) => r1_tarski(k5_relat_1(C, A), k5_relat_1(C, B))) ) ) ) ) ).
fof(t76_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v1_relat_1(C) =>  (r1_tarski(B, C) => r1_tarski(k5_relat_1(B, A), k5_relat_1(C, A))) ) ) ) ) ) ).
fof(t77_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  (! [D] :  (v1_relat_1(D) =>  ( (r1_tarski(C, D) & r1_tarski(A, B))  => r1_tarski(k5_relat_1(C, A), k5_relat_1(D, B))) ) ) ) ) ) ) ).
fof(t78_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) => k5_relat_1(C, k2_xboole_0(A, B))=k2_xboole_0(k5_relat_1(C, A), k5_relat_1(C, B))) ) ) ) ).
fof(t79_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) => k5_relat_1(C, k3_xboole_0(A, B))=k3_xboole_0(k5_relat_1(C, A), k5_relat_1(C, B))) ) ) ) ).
fof(t80_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) => k5_relat_1(C, k6_subset_1(A, B))=k6_subset_1(k5_relat_1(C, A), k5_relat_1(C, B))) ) ) ) ).
fof(t81_relat_1, axiom,  (! [A] :  (v1_relat_1(A) => k5_relat_1(A, k1_xboole_0)=k1_xboole_0) ) ).
fof(t82_relat_1, axiom,  (! [A] : k5_relat_1(k1_xboole_0, A)=k1_xboole_0) ).
fof(t83_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v1_relat_1(C) => k5_relat_1(k3_relat_1(B, C), A)=k3_relat_1(k5_relat_1(B, A), C)) ) ) ) ) ).
fof(d12_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v1_relat_1(C) =>  (C=k6_relat_1(A, B) <=>  (! [D] :  (! [E] :  (r2_hidden(k4_tarski(D, E), C) <=>  (r2_hidden(E, A) & r2_hidden(k4_tarski(D, E), B)) ) ) ) ) ) ) ) ) ) ).
fof(t84_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  (r2_hidden(B, k10_xtuple_0(k6_relat_1(A, C))) <=>  (r2_hidden(B, A) & r2_hidden(B, k10_xtuple_0(C))) ) ) ) ) ) ).
fof(t85_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) => r1_tarski(k10_xtuple_0(k6_relat_1(A, B)), A)) ) ) ).
fof(t86_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) => r1_tarski(k6_relat_1(A, B), B)) ) ) ).
fof(t87_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) => r1_tarski(k10_xtuple_0(k6_relat_1(A, B)), k10_xtuple_0(B))) ) ) ).
fof(t88_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) => k10_xtuple_0(k6_relat_1(A, B))=k3_xboole_0(k10_xtuple_0(B), A)) ) ) ).
fof(t89_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (r1_tarski(A, k10_xtuple_0(B)) => k10_xtuple_0(k6_relat_1(A, B))=A) ) ) ) ).
fof(t90_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v1_relat_1(C) => r1_tarski(k3_relat_1(k6_relat_1(A, C), B), k3_relat_1(C, B))) ) ) ) ) ).
fof(t91_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v1_relat_1(C) => r1_tarski(k3_relat_1(B, k6_relat_1(A, C)), k3_relat_1(B, C))) ) ) ) ) ).
fof(t92_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) => k6_relat_1(A, B)=k3_relat_1(B, k4_relat_1(A))) ) ) ).
fof(t93_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) => k6_relat_1(A, B)=k3_xboole_0(B, k2_zfmisc_1(k9_xtuple_0(B), A))) ) ) ).
fof(t94_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (r1_tarski(k10_xtuple_0(B), A) => k6_relat_1(A, B)=B) ) ) ) ).
fof(t95_relat_1, axiom,  (! [A] :  (v1_relat_1(A) => k6_relat_1(k10_xtuple_0(A), A)=A) ) ).
fof(t96_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) => k6_relat_1(B, k6_relat_1(A, C))=k6_relat_1(k3_xboole_0(B, A), C)) ) ) ) ).
fof(t97_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) => k6_relat_1(A, k6_relat_1(A, B))=k6_relat_1(A, B)) ) ) ).
fof(t98_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  (r1_tarski(A, B) => k6_relat_1(B, k6_relat_1(A, C))=k6_relat_1(A, C)) ) ) ) ) ).
fof(t99_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  (r1_tarski(B, A) => k6_relat_1(B, k6_relat_1(A, C))=k6_relat_1(B, C)) ) ) ) ) ).
fof(t100_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  (r1_tarski(A, B) => r1_tarski(k6_relat_1(A, C), k6_relat_1(B, C))) ) ) ) ) ).
fof(t101_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v1_relat_1(C) =>  (r1_tarski(B, C) => r1_tarski(k6_relat_1(A, B), k6_relat_1(A, C))) ) ) ) ) ) ).
fof(t102_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  (! [D] :  (v1_relat_1(D) =>  ( (r1_tarski(C, D) & r1_tarski(A, B))  => r1_tarski(k6_relat_1(A, C), k6_relat_1(B, D))) ) ) ) ) ) ) ).
fof(t103_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) => k6_relat_1(k2_xboole_0(A, B), C)=k2_xboole_0(k6_relat_1(A, C), k6_relat_1(B, C))) ) ) ) ).
fof(t104_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) => k6_relat_1(k3_xboole_0(A, B), C)=k3_xboole_0(k6_relat_1(A, C), k6_relat_1(B, C))) ) ) ) ).
fof(t105_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) => k6_relat_1(k6_subset_1(A, B), C)=k6_subset_1(k6_relat_1(A, C), k6_relat_1(B, C))) ) ) ) ).
fof(t106_relat_1, axiom,  (! [A] :  (v1_relat_1(A) => k6_relat_1(k1_xboole_0, A)=k1_xboole_0) ) ).
fof(t107_relat_1, axiom,  (! [A] : k6_relat_1(A, k1_xboole_0)=k1_xboole_0) ).
fof(t108_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v1_relat_1(C) => k6_relat_1(A, k3_relat_1(B, C))=k3_relat_1(B, k6_relat_1(A, C))) ) ) ) ) ).
fof(t109_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) => k5_relat_1(k6_relat_1(B, C), A)=k6_relat_1(B, k5_relat_1(C, A))) ) ) ) ).
fof(d13_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (C=k7_relat_1(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (? [E] :  (r2_hidden(k4_tarski(E, D), A) & r2_hidden(E, B)) ) ) ) ) ) ) ) ) ).
fof(t110_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  (r2_hidden(B, k7_relat_1(C, A)) <=>  (? [D] :  (r2_hidden(D, k9_xtuple_0(C)) &  (r2_hidden(k4_tarski(D, B), C) & r2_hidden(D, A)) ) ) ) ) ) ) ) ).
fof(t111_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) => r1_tarski(k7_relat_1(B, A), k10_xtuple_0(B))) ) ) ).
fof(t112_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) => k7_relat_1(B, A)=k7_relat_1(B, k3_xboole_0(k9_xtuple_0(B), A))) ) ) ).
fof(t113_relat_1, axiom,  (! [A] :  (v1_relat_1(A) => k7_relat_1(A, k9_xtuple_0(A))=k10_xtuple_0(A)) ) ).
fof(t114_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) => r1_tarski(k7_relat_1(B, A), k7_relat_1(B, k9_xtuple_0(B)))) ) ) ).
fof(t115_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) => k10_xtuple_0(k5_relat_1(B, A))=k7_relat_1(B, A)) ) ) ).
fof(t118_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (k7_relat_1(B, A)=k1_xboole_0 <=> r1_xboole_0(k9_xtuple_0(B), A)) ) ) ) ).
fof(t119_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  ~ ( ( ~ (A=k1_xboole_0)  &  (r1_tarski(A, k9_xtuple_0(B)) & k7_relat_1(B, A)=k1_xboole_0) ) ) ) ) ) ).
fof(t120_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) => k7_relat_1(C, k2_xboole_0(A, B))=k2_xboole_0(k7_relat_1(C, A), k7_relat_1(C, B))) ) ) ) ).
fof(t121_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) => r1_tarski(k7_relat_1(C, k3_xboole_0(A, B)), k3_xboole_0(k7_relat_1(C, A), k7_relat_1(C, B)))) ) ) ) ).
fof(t122_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) => r1_tarski(k6_subset_1(k7_relat_1(C, A), k7_relat_1(C, B)), k7_relat_1(C, k6_subset_1(A, B)))) ) ) ) ).
fof(t123_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  (r1_tarski(A, B) => r1_tarski(k7_relat_1(C, A), k7_relat_1(C, B))) ) ) ) ) ).
fof(t124_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v1_relat_1(C) =>  (r1_tarski(B, C) => r1_tarski(k7_relat_1(B, A), k7_relat_1(C, A))) ) ) ) ) ) ).
fof(t125_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  (! [D] :  (v1_relat_1(D) =>  ( (r1_tarski(C, D) & r1_tarski(A, B))  => r1_tarski(k7_relat_1(C, A), k7_relat_1(D, B))) ) ) ) ) ) ) ).
fof(t126_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v1_relat_1(C) => k7_relat_1(k3_relat_1(B, C), A)=k7_relat_1(C, k7_relat_1(B, A))) ) ) ) ) ).
fof(t127_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) => k10_xtuple_0(k3_relat_1(A, B))=k7_relat_1(B, k10_xtuple_0(A))) ) ) ) ).
fof(t128_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) => r1_tarski(k7_relat_1(k5_relat_1(C, A), B), k7_relat_1(C, B))) ) ) ) ).
fof(t129_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (r1_tarski(B, C) => k7_relat_1(k5_relat_1(A, C), B)=k7_relat_1(A, B)) ) ) ) ) ).
fof(t130_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) => r1_tarski(k3_xboole_0(k9_xtuple_0(B), A), k7_relat_1(k2_relat_1(B), k7_relat_1(B, A)))) ) ) ).
fof(d14_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (C=k8_relat_1(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (? [E] :  (r2_hidden(k4_tarski(D, E), A) & r2_hidden(E, B)) ) ) ) ) ) ) ) ) ).
fof(t131_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  (r2_hidden(B, k8_relat_1(C, A)) <=>  (? [D] :  (r2_hidden(D, k10_xtuple_0(C)) &  (r2_hidden(k4_tarski(B, D), C) & r2_hidden(D, A)) ) ) ) ) ) ) ) ).
fof(t132_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) => r1_tarski(k8_relat_1(B, A), k9_xtuple_0(B))) ) ) ).
fof(t133_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) => k8_relat_1(B, A)=k8_relat_1(B, k3_xboole_0(k10_xtuple_0(B), A))) ) ) ).
fof(t134_relat_1, axiom,  (! [A] :  (v1_relat_1(A) => k8_relat_1(A, k10_xtuple_0(A))=k9_xtuple_0(A)) ) ).
fof(t135_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) => r1_tarski(k8_relat_1(B, A), k8_relat_1(B, k10_xtuple_0(B)))) ) ) ).
fof(t138_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (k8_relat_1(B, A)=k1_xboole_0 <=> r1_xboole_0(k10_xtuple_0(B), A)) ) ) ) ).
fof(t139_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  ~ ( ( ~ (A=k1_xboole_0)  &  (r1_tarski(A, k10_xtuple_0(B)) & k8_relat_1(B, A)=k1_xboole_0) ) ) ) ) ) ).
fof(t140_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) => k8_relat_1(C, k2_xboole_0(A, B))=k2_xboole_0(k8_relat_1(C, A), k8_relat_1(C, B))) ) ) ) ).
fof(t141_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) => r1_tarski(k8_relat_1(C, k3_xboole_0(A, B)), k3_xboole_0(k8_relat_1(C, A), k8_relat_1(C, B)))) ) ) ) ).
fof(t142_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) => r1_tarski(k6_subset_1(k8_relat_1(C, A), k8_relat_1(C, B)), k8_relat_1(C, k6_subset_1(A, B)))) ) ) ) ).
fof(t143_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  (r1_tarski(A, B) => r1_tarski(k8_relat_1(C, A), k8_relat_1(C, B))) ) ) ) ) ).
fof(t144_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v1_relat_1(C) =>  (r1_tarski(B, C) => r1_tarski(k8_relat_1(B, A), k8_relat_1(C, A))) ) ) ) ) ) ).
fof(t145_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  (! [D] :  (v1_relat_1(D) =>  ( (r1_tarski(C, D) & r1_tarski(A, B))  => r1_tarski(k8_relat_1(C, A), k8_relat_1(D, B))) ) ) ) ) ) ) ).
fof(t146_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v1_relat_1(C) => k8_relat_1(k3_relat_1(B, C), A)=k8_relat_1(B, k8_relat_1(C, A))) ) ) ) ) ).
fof(t147_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) => k9_xtuple_0(k3_relat_1(A, B))=k8_relat_1(A, k9_xtuple_0(B))) ) ) ) ).
fof(t148_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) => r1_tarski(k3_xboole_0(k10_xtuple_0(B), A), k8_relat_1(k2_relat_1(B), k8_relat_1(B, A)))) ) ) ).
fof(d15_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v3_relat_1(A) <=> r1_tarski(k10_xtuple_0(A), k1_tarski(k1_xboole_0))) ) ) ).
fof(t149_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v3_relat_1(A) <=>  (! [B] :  (r2_tarski(B, k10_xtuple_0(A)) => B=k1_xboole_0) ) ) ) ) ).
fof(t150_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (! [D] :  ( (k5_relat_1(A, C)=k5_relat_1(B, C) & k5_relat_1(A, D)=k5_relat_1(B, D))  => k5_relat_1(A, k2_xboole_0(C, D))=k5_relat_1(B, k2_xboole_0(C, D))) ) ) ) ) ) ) ).
fof(t151_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v1_relat_1(C) =>  ( (r1_tarski(k9_xtuple_0(C), A) & r1_tarski(C, B))  => r1_tarski(C, k5_relat_1(B, A))) ) ) ) ) ) ).
fof(t152_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r1_xboole_0(B, k9_xtuple_0(A)) => k5_relat_1(A, B)=k1_xboole_0) ) ) ) ).
fof(t153_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (! [D] :  ( (r1_tarski(C, D) & k5_relat_1(A, D)=k5_relat_1(B, D))  => k5_relat_1(A, C)=k5_relat_1(B, C)) ) ) ) ) ) ) ).
fof(t154_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) => k5_relat_1(A, k9_xtuple_0(B))=k5_relat_1(A, k9_xtuple_0(k5_relat_1(B, k9_xtuple_0(A))))) ) ) ) ).
fof(t155_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  ~ ( ( ~ (v3_relat_1(k5_relat_1(B, A)))  & v3_relat_1(B)) ) ) ) ) ).
fof(d16_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] : k9_relat_1(A, B)=k7_relat_1(A, k1_tarski(B))) ) ) ).
fof(t156_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) => k9_xtuple_0(k5_relat_1(B, k6_subset_1(k9_xtuple_0(B), A)))=k6_subset_1(k9_xtuple_0(B), A)) ) ) ).
fof(t157_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) => k5_relat_1(B, A)=k5_relat_1(B, k3_xboole_0(k9_xtuple_0(B), A))) ) ) ).
fof(t158_relat_1, axiom,  (! [A] :  (! [B] : r1_tarski(k9_xtuple_0(k2_zfmisc_1(A, B)), A)) ) ).
fof(t159_relat_1, axiom,  (! [A] :  (! [B] : r1_tarski(k10_xtuple_0(k2_zfmisc_1(A, B)), B)) ) ).
fof(t160_relat_1, axiom,  (! [A] :  (! [B] :  ~ ( ( ~ (A=k1_xboole_0)  &  ( ~ (B=k1_xboole_0)  &  ~ ( (k9_xtuple_0(k2_zfmisc_1(A, B))=A & k10_xtuple_0(k2_zfmisc_1(A, B))=B) ) ) ) ) ) ) ).
fof(t161_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  ( (k9_xtuple_0(B)=k1_xboole_0 & k9_xtuple_0(A)=k1_xboole_0)  => B=A) ) ) ) ) ).
fof(t162_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  ( (k10_xtuple_0(B)=k1_xboole_0 & k10_xtuple_0(A)=k1_xboole_0)  => B=A) ) ) ) ) ).
fof(t163_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v1_relat_1(C) =>  (k9_xtuple_0(B)=k9_xtuple_0(A) => k9_xtuple_0(k3_relat_1(C, B))=k9_xtuple_0(k3_relat_1(C, A))) ) ) ) ) ) ) ).
fof(t164_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v1_relat_1(C) =>  (k10_xtuple_0(B)=k10_xtuple_0(A) => k10_xtuple_0(k3_relat_1(B, C))=k10_xtuple_0(k3_relat_1(A, C))) ) ) ) ) ) ) ).
fof(d17_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] : k10_relat_1(A, B)=k8_relat_1(A, k1_tarski(B))) ) ) ).
fof(t165_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v1_relat_1(C) =>  (r1_tarski(k10_xtuple_0(B), k9_xtuple_0(k5_relat_1(C, A))) => k3_relat_1(B, k5_relat_1(C, A))=k3_relat_1(B, C)) ) ) ) ) ) ).
fof(t166_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v1_relat_1(C) =>  (k5_relat_1(B, A)=k5_relat_1(C, A) => k7_relat_1(B, A)=k7_relat_1(C, A)) ) ) ) ) ) ).
fof(d18_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (v4_relat_1(B, A) <=> r1_tarski(k9_xtuple_0(B), A)) ) ) ) ).
fof(d19_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (v5_relat_1(B, A) <=> r1_tarski(k10_xtuple_0(B), A)) ) ) ) ).
fof(t167_relat_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (! [C] :  (r2_hidden(C, k10_xtuple_0(B)) => r2_hidden(C, A)) ) ) ) ) ).
fof(t168_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_hidden(C, A) => k9_relat_1(k2_zfmisc_1(A, B), C)=B) ) ) ) ).
fof(t169_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  (r2_hidden(k4_tarski(A, B), C) <=> r2_hidden(B, k9_relat_1(C, A))) ) ) ) ) ).
fof(t170_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (r2_hidden(A, k9_xtuple_0(B)) <=>  ~ (k9_relat_1(B, A)=k1_xboole_0) ) ) ) ) ).
fof(t171_relat_1, axiom,  (! [A] :  (! [B] :  (v4_relat_1(k1_xboole_0, A) & v5_relat_1(k1_xboole_0, B)) ) ) ).
fof(t172_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  (r1_xboole_0(A, B) => k5_relat_1(k5_relat_1(C, A), B)=k1_xboole_0) ) ) ) ) ).
fof(t173_relat_1, axiom,  (! [A] : k1_relat_1(k1_tarski(k4_tarski(A, A)))=k1_tarski(A)) ).
fof(t174_relat_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  => B=k5_relat_1(B, A)) ) ) ).
fof(t175_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (! [C] :  ( (v1_relat_1(C) & v4_relat_1(C, A))  =>  (r1_tarski(C, B) => r1_tarski(C, k5_relat_1(B, A))) ) ) ) ) ) ).
fof(t176_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  (r1_tarski(k9_xtuple_0(C), B) => k6_subset_1(C, k5_relat_1(C, A))=k5_relat_1(C, k6_subset_1(B, A))) ) ) ) ) ).
fof(t177_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) => k9_xtuple_0(k6_subset_1(B, k5_relat_1(B, A)))=k6_subset_1(k9_xtuple_0(B), A)) ) ) ).
fof(t178_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) => k6_subset_1(k9_xtuple_0(B), k9_xtuple_0(k5_relat_1(B, A)))=k9_xtuple_0(k6_subset_1(B, k5_relat_1(B, A)))) ) ) ).
fof(t179_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (r1_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)) => r1_xboole_0(A, B)) ) ) ) ) ).
fof(t180_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (r1_xboole_0(k10_xtuple_0(A), k10_xtuple_0(B)) => r1_xboole_0(A, B)) ) ) ) ) ).
fof(t181_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  (r1_tarski(A, B) => k5_relat_1(k6_subset_1(C, k5_relat_1(C, B)), A)=k1_xboole_0) ) ) ) ) ).
fof(t182_relat_1, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) =>  (! [C] :  ( (v1_relat_1(C) & v4_relat_1(C, A))  => v4_relat_1(C, B)) ) ) ) ) ).
fof(t183_relat_1, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) =>  (! [C] :  ( (v1_relat_1(C) & v5_relat_1(C, A))  => v5_relat_1(C, B)) ) ) ) ) ).
fof(t184_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (r1_tarski(A, B) <=> r1_tarski(A, k5_relat_1(B, k9_xtuple_0(A)))) ) ) ) ) ).
fof(t185_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) & v5_relat_1(C, B)) )  => r1_tarski(C, k2_zfmisc_1(A, B))) ) ) ) ).
fof(t186_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) => r1_tarski(k9_xtuple_0(k6_relat_1(A, B)), k9_xtuple_0(B))) ) ) ).
fof(t187_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  (! [D] :  (v1_relat_1(D) =>  (r1_xboole_0(A, B) => r1_xboole_0(k5_relat_1(C, A), k5_relat_1(D, B))) ) ) ) ) ) ) ).
fof(t188_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) => r1_tarski(k6_relat_1(A, B), k5_relat_1(B, k8_relat_1(B, A)))) ) ) ).
fof(t189_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  ( (k9_xtuple_0(A)=k1_tarski(B) & k10_xtuple_0(A)=k1_tarski(C))  => A=k1_tarski(k4_tarski(B, C))) ) ) ) ) ).
fof(s1_relat_1, axiom,  (? [A] :  (v1_relat_1(A) &  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(B, C), A) <=>  (r2_hidden(B, f1_s1_relat_1) &  (r2_hidden(C, f2_s1_relat_1) & p1_s1_relat_1(B, C)) ) ) ) ) ) ) ).
fof(s2_relat_1, axiom,  ( ( (! [A] :  (! [B] :  (r2_hidden(k4_tarski(A, B), f1_s2_relat_1) <=> p1_s2_relat_1(A, B)) ) )  &  (! [A] :  (! [B] :  (r2_hidden(k4_tarski(A, B), f2_s2_relat_1) <=> p1_s2_relat_1(A, B)) ) ) )  => f1_s2_relat_1=f2_s2_relat_1) ).
fof(dt_k2_relat_1, axiom,  (! [A] :  (v1_relat_1(A) => v1_relat_1(k2_relat_1(A))) ) ).
fof(involutiveness_k2_relat_1, axiom,  (! [A] :  (v1_relat_1(A) => k2_relat_1(k2_relat_1(A))=A) ) ).
fof(dt_k3_relat_1, axiom,  (! [A, B] : v1_relat_1(k3_relat_1(A, B))) ).
fof(dt_k4_relat_1, axiom,  (! [A] : v1_relat_1(k4_relat_1(A))) ).
fof(dt_k5_relat_1, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_relat_1(k5_relat_1(A, B))) ) ).
fof(dt_k6_relat_1, axiom,  (! [A, B] :  (v1_relat_1(B) => v1_relat_1(k6_relat_1(A, B))) ) ).
fof(dt_f1_s2_relat_1, axiom, v1_relat_1(f1_s2_relat_1)).
fof(dt_f2_s2_relat_1, axiom, v1_relat_1(f2_s2_relat_1)).
fof(cc1_relat_2, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) &  (v1_relat_2(A) &  (v2_relat_2(A) &  (v3_relat_2(A) &  (v4_relat_2(A) &  (v5_relat_2(A) &  (v6_relat_2(A) &  (v7_relat_2(A) & v8_relat_2(A)) ) ) ) ) ) ) ) ) ) ).
fof(cc2_relat_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v3_relat_2(A) & v8_relat_2(A)) )  =>  (v1_relat_1(A) & v1_relat_2(A)) ) ) ).
fof(fc1_relat_2, axiom,  (! [A] :  (v1_relat_1(k4_relat_1(A)) &  (v3_relat_2(k4_relat_1(A)) &  (v4_relat_2(k4_relat_1(A)) & v8_relat_2(k4_relat_1(A))) ) ) ) ).
fof(cc3_relat_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_2(A) & v8_relat_2(A)) )  =>  (v1_relat_1(A) & v5_relat_2(A)) ) ) ).
fof(cc4_relat_2, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_2(A))  =>  (v1_relat_1(A) &  (v2_relat_2(A) & v4_relat_2(A)) ) ) ) ).
fof(fc2_relat_2, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_relat_2(A))  =>  (v1_relat_1(k2_relat_1(A)) & v1_relat_2(k2_relat_1(A))) ) ) ).
fof(fc3_relat_2, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_relat_2(A))  =>  (v1_relat_1(k2_relat_1(A)) & v2_relat_2(k2_relat_1(A))) ) ) ).
fof(fc4_relat_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_relat_2(A))  &  (v1_relat_1(B) & v1_relat_2(B)) )  => v1_relat_2(k2_xboole_0(A, B))) ) ).
fof(fc5_relat_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_relat_2(A))  &  (v1_relat_1(B) & v1_relat_2(B)) )  => v1_relat_2(k3_xboole_0(A, B))) ) ).
fof(fc6_relat_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v2_relat_2(A))  &  (v1_relat_1(B) & v2_relat_2(B)) )  => v2_relat_2(k2_xboole_0(A, B))) ) ).
fof(fc7_relat_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v2_relat_2(A))  &  (v1_relat_1(B) & v2_relat_2(B)) )  => v2_relat_2(k3_xboole_0(A, B))) ) ).
fof(fc8_relat_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v2_relat_2(A))  & v1_relat_1(B))  => v2_relat_2(k4_xboole_0(A, B))) ) ).
fof(fc9_relat_2, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_relat_2(A))  =>  (v1_relat_1(k2_relat_1(A)) & v3_relat_2(k2_relat_1(A))) ) ) ).
fof(fc10_relat_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v3_relat_2(A))  &  (v1_relat_1(B) & v3_relat_2(B)) )  => v3_relat_2(k2_xboole_0(A, B))) ) ).
fof(fc11_relat_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v3_relat_2(A))  &  (v1_relat_1(B) & v3_relat_2(B)) )  => v3_relat_2(k3_xboole_0(A, B))) ) ).
fof(fc12_relat_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v3_relat_2(A))  &  (v1_relat_1(B) & v3_relat_2(B)) )  => v3_relat_2(k4_xboole_0(A, B))) ) ).
fof(fc13_relat_2, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_2(A))  =>  (v1_relat_1(k2_relat_1(A)) & v5_relat_2(k2_relat_1(A))) ) ) ).
fof(fc14_relat_2, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_relat_1(B) & v5_relat_2(B)) )  => v5_relat_2(k3_xboole_0(A, B))) ) ).
fof(fc15_relat_2, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_relat_1(B) & v5_relat_2(B)) )  => v5_relat_2(k3_xboole_0(B, A))) ) ).
fof(fc16_relat_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v5_relat_2(A))  & v1_relat_1(B))  => v5_relat_2(k4_xboole_0(A, B))) ) ).
fof(fc17_relat_2, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_relat_2(A))  =>  (v1_relat_1(k2_relat_1(A)) & v4_relat_2(k2_relat_1(A))) ) ) ).
fof(fc18_relat_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v4_relat_2(A))  & v1_relat_1(B))  => v4_relat_2(k3_xboole_0(A, B))) ) ).
fof(fc19_relat_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v4_relat_2(A))  & v1_relat_1(B))  => v4_relat_2(k3_xboole_0(B, A))) ) ).
fof(fc20_relat_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v4_relat_2(A))  & v1_relat_1(B))  => v4_relat_2(k4_xboole_0(A, B))) ) ).
fof(fc21_relat_2, axiom,  (! [A] :  ( (v1_relat_1(A) & v8_relat_2(A))  =>  (v1_relat_1(k2_relat_1(A)) & v8_relat_2(k2_relat_1(A))) ) ) ).
fof(fc22_relat_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v8_relat_2(A))  &  (v1_relat_1(B) & v8_relat_2(B)) )  => v8_relat_2(k3_xboole_0(A, B))) ) ).
fof(cc5_relat_2, axiom,  (! [A] :  ( (v1_relat_1(A) & v7_relat_2(A))  =>  (v1_relat_1(A) &  (v1_relat_2(A) & v6_relat_2(A)) ) ) ) ).
fof(d1_relat_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r1_relat_2(A, B) <=>  (! [C] :  (r2_hidden(C, B) => r2_hidden(k4_tarski(C, C), A)) ) ) ) ) ) ).
fof(d2_relat_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r2_relat_2(A, B) <=>  (! [C] :  ~ ( (r2_hidden(C, B) & r2_hidden(k4_tarski(C, C), A)) ) ) ) ) ) ) ).
fof(d3_relat_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r3_relat_2(A, B) <=>  (! [C] :  (! [D] :  ( (r2_hidden(C, B) &  (r2_hidden(D, B) & r2_hidden(k4_tarski(C, D), A)) )  => r2_hidden(k4_tarski(D, C), A)) ) ) ) ) ) ) ).
fof(d4_relat_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r4_relat_2(A, B) <=>  (! [C] :  (! [D] :  ( (r2_hidden(C, B) &  (r2_hidden(D, B) &  (r2_hidden(k4_tarski(C, D), A) & r2_hidden(k4_tarski(D, C), A)) ) )  => C=D) ) ) ) ) ) ) ).
fof(d5_relat_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r5_relat_2(A, B) <=>  (! [C] :  (! [D] :  ~ ( (r2_hidden(C, B) &  (r2_hidden(D, B) &  (r2_hidden(k4_tarski(C, D), A) & r2_hidden(k4_tarski(D, C), A)) ) ) ) ) ) ) ) ) ) ).
fof(d6_relat_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r6_relat_2(A, B) <=>  (! [C] :  (! [D] :  ~ ( (r2_hidden(C, B) &  (r2_hidden(D, B) &  ( ~ (C=D)  &  ( ~ (r2_hidden(k4_tarski(C, D), A))  &  ~ (r2_hidden(k4_tarski(D, C), A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_relat_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r7_relat_2(A, B) <=>  (! [C] :  (! [D] :  ~ ( (r2_hidden(C, B) &  (r2_hidden(D, B) &  ( ~ (r2_hidden(k4_tarski(C, D), A))  &  ~ (r2_hidden(k4_tarski(D, C), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_relat_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r8_relat_2(A, B) <=>  (! [C] :  (! [D] :  (! [E] :  ( (r2_hidden(C, B) &  (r2_hidden(D, B) &  (r2_hidden(E, B) &  (r2_hidden(k4_tarski(C, D), A) & r2_hidden(k4_tarski(D, E), A)) ) ) )  => r2_hidden(k4_tarski(C, E), A)) ) ) ) ) ) ) ) ).
fof(d9_relat_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (v1_relat_2(A) <=> r1_relat_2(A, k1_relat_1(A))) ) ) ).
fof(d10_relat_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (v2_relat_2(A) <=> r2_relat_2(A, k1_relat_1(A))) ) ) ).
fof(d11_relat_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (v3_relat_2(A) <=> r3_relat_2(A, k1_relat_1(A))) ) ) ).
fof(d12_relat_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (v4_relat_2(A) <=> r4_relat_2(A, k1_relat_1(A))) ) ) ).
fof(d13_relat_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (v5_relat_2(A) <=> r5_relat_2(A, k1_relat_1(A))) ) ) ).
fof(d14_relat_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (v6_relat_2(A) <=> r6_relat_2(A, k1_relat_1(A))) ) ) ).
fof(d15_relat_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (v7_relat_2(A) <=> r7_relat_2(A, k1_relat_1(A))) ) ) ).
fof(d16_relat_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (v8_relat_2(A) <=> r8_relat_2(A, k1_relat_1(A))) ) ) ).
fof(t1_relat_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (v1_relat_2(A) <=> r1_tarski(k4_relat_1(k1_relat_1(A)), A)) ) ) ).
fof(t2_relat_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (v2_relat_2(A) <=> r1_xboole_0(k4_relat_1(k1_relat_1(A)), A)) ) ) ).
fof(t3_relat_2, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (r4_relat_2(B, A) <=> r5_relat_2(k4_xboole_0(B, k4_relat_1(A)), A)) ) ) ) ).
fof(t4_relat_2, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (r5_relat_2(B, A) => r4_relat_2(k2_xboole_0(B, k4_relat_1(A)), A)) ) ) ) ).
fof(t12_relat_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (v1_relat_2(A) =>  (k9_xtuple_0(A)=k9_xtuple_0(k2_relat_1(A)) & k10_xtuple_0(A)=k10_xtuple_0(k2_relat_1(A))) ) ) ) ).
fof(t13_relat_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (v3_relat_2(A) <=> A=k2_relat_1(A)) ) ) ).
fof(t22_relat_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (v4_relat_2(A) <=> r1_tarski(k3_xboole_0(A, k2_relat_1(A)), k4_relat_1(k9_xtuple_0(A)))) ) ) ).
fof(t27_relat_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (v8_relat_2(A) <=> r1_tarski(k3_relat_1(A, A), A)) ) ) ).
fof(t28_relat_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (v6_relat_2(A) <=> r1_tarski(k4_xboole_0(k2_zfmisc_1(k1_relat_1(A), k1_relat_1(A)), k4_relat_1(k1_relat_1(A))), k2_xboole_0(A, k2_relat_1(A)))) ) ) ).
fof(t30_relat_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (v7_relat_2(A) <=> k2_zfmisc_1(k1_relat_1(A), k1_relat_1(A))=k2_xboole_0(A, k2_relat_1(A))) ) ) ).
fof(t31_relat_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (v8_relat_2(A) <=>  (! [B] :  (! [C] :  (! [D] :  ( (r2_hidden(k4_tarski(B, C), A) & r2_hidden(k4_tarski(C, D), A))  => r2_hidden(k4_tarski(B, D), A)) ) ) ) ) ) ) ).
fof(fc1_reloc, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3))) )  => v4_compos_0(k2_ami_3(A, B), u1_compos_1(k1_ami_3))) ) ).
fof(fc2_reloc, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3))) )  => v4_compos_0(k3_ami_3(A, B), u1_compos_1(k1_ami_3))) ) ).
fof(fc3_reloc, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3))) )  => v4_compos_0(k4_ami_3(A, B), u1_compos_1(k1_ami_3))) ) ).
fof(fc4_reloc, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3))) )  => v4_compos_0(k5_ami_3(A, B), u1_compos_1(k1_ami_3))) ) ).
fof(fc5_reloc, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3))) )  => v4_compos_0(k6_ami_3(A, B), u1_compos_1(k1_ami_3))) ) ).
fof(fc6_reloc, axiom,  (v1_extpro_1(k1_ami_3, k5_card_1(2)) & v2_amistd_5(k1_ami_3, k5_card_1(2))) ).
fof(fc7_reloc, axiom,  (v1_extpro_1(k1_ami_3, k5_card_1(2)) &  (v5_amistd_5(k1_ami_3, k5_card_1(2)) & v6_amistd_5(k1_ami_3, k5_card_1(2))) ) ).
fof(t1_reloc, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k8_compos_0(u1_compos_1(k1_ami_3), k7_ami_3(B), A)=k7_ami_3(k2_xcmplx_0(B, A))) ) ) ) ).
fof(t2_reloc, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_ami_2(C) & m1_subset_1(C, u1_struct_0(k1_ami_3)))  => k8_compos_0(u1_compos_1(k1_ami_3), k8_ami_3(B, C), A)=k8_ami_3(k2_xcmplx_0(B, A), C)) ) ) ) ) ) ).
fof(t3_reloc, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_ami_2(C) & m1_subset_1(C, u1_struct_0(k1_ami_3)))  => k8_compos_0(u1_compos_1(k1_ami_3), k9_ami_3(B, C), A)=k9_ami_3(k2_xcmplx_0(B, A), C)) ) ) ) ) ) ).
fof(t4_reloc, axiom,  (! [A] :  (m1_subset_1(A, u1_compos_1(k1_ami_3)) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ( ~ ( (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_xxreal_0(k5_numbers, C) &  (r1_xxreal_0(C, 5) & k5_compos_0(u1_compos_1(k1_ami_3), A)=C) ) ) ) ) )  => k8_compos_0(u1_compos_1(k1_ami_3), A, B)=A) ) ) ) ) ).
fof(t5_reloc, axiom,  (! [A] :  (m1_subset_1(A, u1_compos_1(k1_ami_3)) =>  (! [B] :  (m1_subset_1(B, u1_compos_1(k1_ami_3)) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (k8_compos_0(u1_compos_1(k1_ami_3), A, C)=B =>  ( (! [D] :  (v7_ordinal1(D) =>  ~ ( (r1_xxreal_0(k5_numbers, D) &  (r1_xxreal_0(D, 5) & k5_compos_0(u1_compos_1(k1_ami_3), B)=D) ) ) ) )  | A=B) ) ) ) ) ) ) ) ).
fof(t6_reloc, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(k1_ami_3)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  ~ (v2_compos_1(B, k1_ami_3)) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(k1_ami_3)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(k5_card_1(2), k1_ami_3)) &  (v1_finset_1(C) & v4_extpro_1(C, k5_card_1(2), k1_ami_3, B)) ) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(k1_ami_3)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(D, u1_struct_0(k1_ami_3))) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(k1_ami_3)) &  (v1_funct_1(E) &  (v5_funct_1(E, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(E, u1_struct_0(k1_ami_3))) ) ) )  =>  ( (r2_tarski(k4_struct_0(k1_ami_3), k9_xtuple_0(C)) &  (r1_tarski(C, D) & r1_tarski(k9_memstr_0(k5_card_1(2), k1_ami_3, C, A), E)) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, k4_ordinal1) &  (v5_relat_1(F, u1_compos_1(k1_ami_3)) &  (v1_funct_1(F) & v1_partfun1(F, k4_ordinal1)) ) ) )  =>  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, k4_ordinal1) &  (v5_relat_1(G, u1_compos_1(k1_ami_3)) &  (v1_funct_1(G) & v1_partfun1(G, k4_ordinal1)) ) ) )  =>  ( (r1_tarski(B, F) & r1_tarski(k6_compos_1(k1_ami_3, B, A), G))  =>  (! [H] :  (m1_subset_1(H, k4_ordinal1) => k1_nat_1(k5_memstr_0(k5_card_1(2), k1_ami_3, k5_extpro_1(k5_card_1(2), k1_ami_3, F, D, H)), A)=k5_memstr_0(k5_card_1(2), k1_ami_3, k5_extpro_1(k5_card_1(2), k1_ami_3, G, E, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_reloc, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(k1_ami_3)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  ~ (v2_compos_1(B, k1_ami_3)) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(k1_ami_3)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(k5_card_1(2), k1_ami_3)) &  (v1_finset_1(C) & v4_extpro_1(C, k5_card_1(2), k1_ami_3, B)) ) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(k1_ami_3)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(D, u1_struct_0(k1_ami_3))) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(k1_ami_3)) &  (v1_funct_1(E) &  (v5_funct_1(E, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(E, u1_struct_0(k1_ami_3))) ) ) )  =>  (! [F] :  ( (v1_relat_1(F) &  (v4_relat_1(F, u1_struct_0(k1_ami_3)) &  (v1_funct_1(F) &  (v5_funct_1(F, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(F, u1_struct_0(k1_ami_3))) ) ) )  =>  ( (r2_tarski(k4_struct_0(k1_ami_3), k9_xtuple_0(C)) &  (r1_tarski(C, D) &  (r1_tarski(k9_memstr_0(k5_card_1(2), k1_ami_3, C, A), E) & r6_pboole(u1_struct_0(k1_ami_3), F, k1_funct_4(D, k6_memstr_0(k5_card_1(2), k1_ami_3, E)))) ) )  =>  (! [G] :  ( (v1_relat_1(G) &  (v4_relat_1(G, k4_ordinal1) &  (v5_relat_1(G, u1_compos_1(k1_ami_3)) &  (v1_funct_1(G) & v1_partfun1(G, k4_ordinal1)) ) ) )  =>  (! [H] :  ( (v1_relat_1(H) &  (v4_relat_1(H, k4_ordinal1) &  (v5_relat_1(H, u1_compos_1(k1_ami_3)) &  (v1_funct_1(H) & v1_partfun1(H, k4_ordinal1)) ) ) )  =>  ( (r1_tarski(B, G) & r1_tarski(k6_compos_1(k1_ami_3, B, A), H))  =>  (! [I] :  (m1_subset_1(I, k4_ordinal1) => k6_memstr_0(k5_card_1(2), k1_ami_3, k5_extpro_1(k5_card_1(2), k1_ami_3, G, F, I))=k6_memstr_0(k5_card_1(2), k1_ami_3, k5_extpro_1(k5_card_1(2), k1_ami_3, H, E, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_relset_1, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_relat_1(C)) ) ) ).
fof(cc2_relset_1, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ).
fof(fc1_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v4_relat_1(B, A))  &  (v1_relat_1(C) & v4_relat_1(C, A)) )  => v4_relat_1(k2_xboole_0(B, C), A)) ) ).
fof(fc2_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v4_relat_1(B, A))  & v1_relat_1(C))  => v4_relat_1(k3_xboole_0(B, C), A)) ) ).
fof(fc3_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v4_relat_1(B, A))  & v1_relat_1(C))  => v4_relat_1(k4_xboole_0(B, C), A)) ) ).
fof(fc4_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v5_relat_1(B, A))  &  (v1_relat_1(C) & v5_relat_1(C, A)) )  => v5_relat_1(k2_xboole_0(B, C), A)) ) ).
fof(fc5_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v5_relat_1(B, A))  & v1_relat_1(C))  => v5_relat_1(k3_xboole_0(B, C), A)) ) ).
fof(fc6_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v5_relat_1(B, A))  & v1_relat_1(C))  => v5_relat_1(k4_xboole_0(B, C), A)) ) ).
fof(cc3_relset_1, axiom,  (! [A, B] :  (v1_xboole_0(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_xboole_0(C)) ) ) ) ).
fof(cc4_relset_1, axiom,  (! [A, B] :  (v1_xboole_0(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A))) => v1_xboole_0(C)) ) ) ) ).
fof(fc7_relset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v1_xboole_0(k4_relat_1(A)))  & v1_relat_1(k4_relat_1(A))) ) ) ).
fof(fc8_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C))) => v1_relat_1(k9_xtuple_0(D))) ) ).
fof(fc9_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_zfmisc_1(B, C)))) => v1_relat_1(k10_xtuple_0(D))) ) ).
fof(fc10_relset_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_relat_1(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k9_xtuple_0(A)))) )  =>  ( ~ (v1_xboole_0(k5_relat_1(A, B)))  & v1_relat_1(k5_relat_1(A, B))) ) ) ).
fof(fc11_relset_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_relat_1(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k9_xtuple_0(A)))) )  =>  ~ (v1_xboole_0(k7_relat_1(A, B))) ) ) ).
fof(rc1_relset_1, axiom,  (! [A, B] :  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_xboole_0(C) &  (v1_relat_1(C) &  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ) ) ).
fof(d1_relset_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [D] :  (r1_relset_1(A, B, C, D) <=>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, B) =>  (r2_hidden(k4_tarski(E, F), C) => r2_hidden(k4_tarski(E, F), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_relset_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (r2_relset_1(A, B, C, D) <=>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, B) =>  (r2_hidden(k4_tarski(E, F), C) <=> r2_hidden(k4_tarski(E, F), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_relset_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C))) =>  (r1_tarski(A, D) => m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(B, C)))) ) ) ) ) ) ).
fof(t2_relset_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ~ ( (r2_hidden(C, D) &  (! [E] :  (! [F] :  ~ ( (C=k4_tarski(E, F) &  (r2_hidden(E, A) & r2_hidden(F, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_relset_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (r2_hidden(C, A) & r2_hidden(D, B))  => m1_subset_1(k1_tarski(k4_tarski(C, D)), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ).
fof(t4_relset_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  ( (r1_tarski(k9_xtuple_0(C), A) & r1_tarski(k10_xtuple_0(C), B))  => m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ).
fof(t5_relset_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, C))) =>  (r1_tarski(k9_xtuple_0(D), B) => m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C)))) ) ) ) ) ) ).
fof(t6_relset_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (r1_tarski(k10_xtuple_0(D), C) => m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, C)))) ) ) ) ) ) ).
fof(t7_relset_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, C))) =>  ( (r1_tarski(A, B) & r1_tarski(C, D))  => m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, D)))) ) ) ) ) ) ) ).
fof(t8_relset_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => r1_tarski(k1_relat_1(C), k2_xboole_0(A, B))) ) ) ) ).
fof(t9_relset_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( (! [D] :  ~ ( (r2_hidden(D, A) &  (! [E] :  ~ (r2_hidden(k4_tarski(D, E), C)) ) ) ) )  <=> k1_relset_1(A, C)=A) ) ) ) ) ).
fof(t10_relset_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( (! [D] :  ~ ( (r2_hidden(D, B) &  (! [E] :  ~ (r2_hidden(k4_tarski(E, D), C)) ) ) ) )  <=> k2_relset_1(B, C)=B) ) ) ) ) ).
fof(t11_relset_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (k1_relset_1(B, k3_relset_1(A, B, C))=k2_relset_1(B, C) & k2_relset_1(A, k3_relset_1(A, B, C))=k1_relset_1(A, C)) ) ) ) ) ).
fof(t12_relset_1, axiom,  (! [A] :  (! [B] : m1_subset_1(k1_xboole_0, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ).
fof(t13_relset_1, axiom,  (! [A] : r1_tarski(k4_relat_1(A), k2_zfmisc_1(A, A))) ).
fof(t14_relset_1, axiom,  (! [A] : m1_subset_1(k4_relat_1(A), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ).
fof(t15_relset_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C))) =>  (r1_tarski(k4_relat_1(A), D) =>  (r1_tarski(A, k1_relset_1(B, D)) & r1_tarski(A, k2_relset_1(C, D))) ) ) ) ) ) ) ).
fof(t16_relset_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (r1_tarski(k4_relat_1(A), C) =>  (A=k1_relset_1(A, C) & r1_tarski(A, k2_relset_1(B, C))) ) ) ) ) ) ).
fof(t17_relset_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (r1_tarski(k4_relat_1(B), C) =>  (r1_tarski(B, k1_relset_1(A, C)) & B=k2_relset_1(B, C)) ) ) ) ) ) ).
fof(t18_relset_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, C))) => m1_subset_1(k5_relset_1(A, C, D, B), k1_zfmisc_1(k2_zfmisc_1(B, C)))) ) ) ) ) ).
fof(t19_relset_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, C))) =>  (r1_tarski(A, B) => r2_relset_1(A, C, k5_relset_1(A, C, D, B), D)) ) ) ) ) ) ).
fof(t20_relset_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))) => m1_subset_1(k6_relset_1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, C)))) ) ) ) ) ).
fof(t21_relset_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (r1_tarski(B, C) => r2_relset_1(A, B, k6_relset_1(A, B, C, D), D)) ) ) ) ) ) ).
fof(t22_relset_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (k7_relset_1(A, B, C, A)=k2_relset_1(B, C) & k8_relset_1(A, B, C, B)=k1_relset_1(A, C)) ) ) ) ) ).
fof(t23_relset_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (k7_relset_1(A, B, C, k8_relset_1(A, B, C, B))=k2_relset_1(B, C) & k8_relset_1(A, B, C, k7_relset_1(A, B, C, A))=k1_relset_1(A, C)) ) ) ) ) ).
fof(t24_relset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [D] :  (m1_subset_1(D, A) =>  (r2_tarski(D, k1_relset_1(A, C)) <=>  (? [E] :  (m1_subset_1(E, B) & r2_hidden(k4_tarski(D, E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_relset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [D] :  (r2_hidden(D, k2_relset_1(B, C)) <=>  (? [E] :  (m1_subset_1(E, A) & r2_hidden(k4_tarski(E, D), C)) ) ) ) ) ) ) ) ) ) ).
fof(t26_relset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ~ ( ( ~ (k1_relset_1(A, C)=k1_xboole_0)  &  (! [D] :  (m1_subset_1(D, B) =>  ~ (r2_tarski(D, k2_relset_1(B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_relset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ~ ( ( ~ (k2_relset_1(B, C)=k1_xboole_0)  &  (! [D] :  (m1_subset_1(D, A) =>  ~ (r2_tarski(D, k1_relset_1(A, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_relset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C))) =>  (! [F] :  (! [G] :  (r2_hidden(k4_tarski(F, G), k4_relset_1(A, B, B, C, D, E)) <=>  (? [H] :  (m1_subset_1(H, B) &  (r2_hidden(k4_tarski(F, H), D) & r2_hidden(k4_tarski(H, G), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_relset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, C))) =>  (! [E] :  (m1_subset_1(E, C) =>  (r2_tarski(E, k7_relset_1(A, C, D, B)) <=>  (? [F] :  (m1_subset_1(F, A) &  (r2_hidden(k4_tarski(F, E), D) & r2_tarski(F, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_relset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, C))) =>  (! [E] :  (m1_subset_1(E, A) =>  (r2_tarski(E, k8_relset_1(A, C, D, B)) <=>  (? [F] :  (m1_subset_1(F, C) &  (r2_hidden(k4_tarski(E, F), D) & r2_tarski(F, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_relset_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  ( (! [D] :  (r2_tarski(D, A) => k9_relat_1(B, D)=k9_relat_1(C, D)) )  => r2_relset_1(A, A, B, C)) ) ) ) ) ) ).
fof(t32_relset_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C))) =>  (r1_xboole_0(A, B) => k5_relset_1(B, C, D, A)=k1_xboole_0) ) ) ) ) ) ).
fof(s1_relset_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(f1_s1_relset_1, f2_s1_relset_1))) &  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(B, C), A) <=>  (r2_hidden(B, f1_s1_relset_1) &  (r2_hidden(C, f2_s1_relset_1) & p1_s1_relset_1(B, C)) ) ) ) ) ) ) ).
fof(s2_relset_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(f1_s2_relset_1, f2_s2_relset_1))) &  (! [B] :  (m1_subset_1(B, f1_s2_relset_1) =>  (! [C] :  (m1_subset_1(C, f2_s2_relset_1) =>  (r2_hidden(k4_tarski(B, C), A) <=> p1_s2_relset_1(B, C)) ) ) ) ) ) ) ).
fof(s3_relset_1, axiom,  ( (! [A] :  (m1_subset_1(A, f1_s3_relset_1) =>  (r2_tarski(A, f2_s3_relset_1) => r1_tarski(f3_s3_relset_1(A), f2_s3_relset_1)) ) )  =>  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(f2_s3_relset_1, f2_s3_relset_1))) &  (! [B] :  (m1_subset_1(B, f1_s3_relset_1) =>  (r2_tarski(B, f2_s3_relset_1) => k9_relat_1(A, B)=f3_s3_relset_1(B)) ) ) ) ) ) ).
fof(s4_relset_1, axiom,  ( ( (! [A] :  (m1_subset_1(A, f1_s4_relset_1) =>  (! [B] :  (m1_subset_1(B, f2_s4_relset_1) =>  (r2_hidden(k4_tarski(A, B), f3_s4_relset_1) <=> p1_s4_relset_1(A, B)) ) ) ) )  &  (! [A] :  (m1_subset_1(A, f1_s4_relset_1) =>  (! [B] :  (m1_subset_1(B, f2_s4_relset_1) =>  (r2_hidden(k4_tarski(A, B), f4_s4_relset_1) <=> p1_s4_relset_1(A, B)) ) ) ) ) )  => r2_relset_1(f1_s4_relset_1, f2_s4_relset_1, f3_s4_relset_1, f4_s4_relset_1)) ).
fof(s5_relset_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(f1_s5_relset_1, f2_s5_relset_1))) &  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(B, C), A) <=>  (r2_tarski(B, f1_s5_relset_1) &  (r2_tarski(C, f2_s5_relset_1) & p1_s5_relset_1(B, C)) ) ) ) ) ) ) ).
fof(reflexivity_r1_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => r1_relset_1(A, B, C, C)) ) ).
fof(redefinition_r1_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (r1_relset_1(A, B, C, D) <=> r1_tarski(C, D)) ) ) ).
fof(symmetry_r2_relset_1, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (r2_relset_1(A, B, C, D) => r2_relset_1(A, B, D, C)) ) ) ).
fof(reflexivity_r2_relset_1, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  => r2_relset_1(A, B, C, C)) ) ).
fof(redefinition_r2_relset_1, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (r2_relset_1(A, B, C, D) <=> C=D) ) ) ).
fof(dt_k1_relset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  => m1_subset_1(k1_relset_1(A, B), k1_zfmisc_1(A))) ) ).
fof(redefinition_k1_relset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  => k1_relset_1(A, B)=k9_xtuple_0(B)) ) ).
fof(dt_k2_relset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  => m1_subset_1(k2_relset_1(A, B), k1_zfmisc_1(A))) ) ).
fof(redefinition_k2_relset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  => k2_relset_1(A, B)=k10_xtuple_0(B)) ) ).
fof(dt_k3_relset_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => m1_subset_1(k3_relset_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ).
fof(involutiveness_k3_relset_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => k3_relset_1(A, B, k3_relset_1(A, B, C))=C) ) ).
fof(redefinition_k3_relset_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => k3_relset_1(A, B, C)=k2_relat_1(C)) ) ).
fof(dt_k4_relset_1, axiom,  (! [A, B, C, D, E, F] :  ( (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, D))))  => m1_subset_1(k4_relset_1(A, B, C, D, E, F), k1_zfmisc_1(k2_zfmisc_1(A, D)))) ) ).
fof(redefinition_k4_relset_1, axiom,  (! [A, B, C, D, E, F] :  ( (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, D))))  => k4_relset_1(A, B, C, D, E, F)=k3_relat_1(E, F)) ) ).
fof(dt_k5_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => m1_subset_1(k5_relset_1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ).
fof(redefinition_k5_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => k5_relset_1(A, B, C, D)=k5_relat_1(C, D)) ) ).
fof(dt_k6_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))) => m1_subset_1(k6_relset_1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ).
fof(redefinition_k6_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))) => k6_relset_1(A, B, C, D)=k6_relat_1(C, D)) ) ).
fof(dt_k7_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => m1_subset_1(k7_relset_1(A, B, C, D), k1_zfmisc_1(B))) ) ).
fof(redefinition_k7_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => k7_relset_1(A, B, C, D)=k7_relat_1(C, D)) ) ).
fof(dt_k8_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => m1_subset_1(k8_relset_1(A, B, C, D), k1_zfmisc_1(A))) ) ).
fof(redefinition_k8_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => k8_relset_1(A, B, C, D)=k8_relat_1(C, D)) ) ).
fof(dt_f1_s2_relset_1, axiom,  ~ (v1_xboole_0(f1_s2_relset_1)) ).
fof(dt_f2_s2_relset_1, axiom,  ~ (v1_xboole_0(f2_s2_relset_1)) ).
fof(dt_f2_s3_relset_1, axiom, m1_subset_1(f2_s3_relset_1, k1_zfmisc_1(f1_s3_relset_1))).
fof(dt_f3_s4_relset_1, axiom, m1_subset_1(f3_s4_relset_1, k1_zfmisc_1(k2_zfmisc_1(f1_s4_relset_1, f2_s4_relset_1)))).
fof(dt_f4_s4_relset_1, axiom, m1_subset_1(f4_s4_relset_1, k1_zfmisc_1(k2_zfmisc_1(f1_s4_relset_1, f2_s4_relset_1)))).
fof(t1_relset_2, axiom,  (! [A] :  (! [B] :  (r2_hidden(A, k10_eqrel_1(B)) <=>  (? [C] :  (A=k1_tarski(C) & r2_hidden(C, B)) ) ) ) ) ).
fof(t2_relset_2, axiom,  (! [A] :  (A=k1_xboole_0 <=> k10_eqrel_1(A)=k1_xboole_0) ) ).
fof(t3_relset_2, axiom,  (! [A] :  (! [B] : k10_eqrel_1(k2_xboole_0(A, B))=k2_xboole_0(k10_eqrel_1(A), k10_eqrel_1(B))) ) ).
fof(t4_relset_2, axiom,  (! [A] :  (! [B] : k10_eqrel_1(k3_xboole_0(A, B))=k3_xboole_0(k10_eqrel_1(A), k10_eqrel_1(B))) ) ).
fof(t5_relset_2, axiom,  (! [A] :  (! [B] : k10_eqrel_1(k6_subset_1(A, B))=k6_subset_1(k10_eqrel_1(A), k10_eqrel_1(B))) ) ).
fof(t6_relset_2, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) <=> r1_tarski(k10_eqrel_1(A), k10_eqrel_1(B))) ) ) ).
fof(t7_relset_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))) => r1_tarski(k9_subset_1(A, k8_setfam_1(A, B), k8_setfam_1(A, C)), k8_setfam_1(A, k9_subset_1(k1_zfmisc_1(A), B, C)))) ) ) ) ) ).
fof(t8_relset_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v1_relat_1(C) => r1_tarski(k3_relat_1(k3_xboole_0(A, B), C), k3_xboole_0(k3_relat_1(A, C), k3_relat_1(B, C)))) ) ) ) ) ) ).
fof(t9_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  (r2_hidden(B, k9_relat_1(C, A)) <=> r2_hidden(k4_tarski(A, B), C)) ) ) ) ) ).
fof(t10_relset_2, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v1_relat_1(C) => k9_relat_1(k2_xboole_0(B, C), A)=k2_xboole_0(k9_relat_1(B, A), k9_relat_1(C, A))) ) ) ) ) ).
fof(t11_relset_2, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v1_relat_1(C) => k9_relat_1(k3_xboole_0(B, C), A)=k3_xboole_0(k9_relat_1(B, A), k9_relat_1(C, A))) ) ) ) ) ).
fof(t12_relset_2, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v1_relat_1(C) => k9_relat_1(k6_subset_1(B, C), A)=k6_subset_1(k9_relat_1(B, A), k9_relat_1(C, A))) ) ) ) ) ).
fof(t13_relset_2, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (v1_relat_1(C) => r1_tarski(k7_relat_1(k3_xboole_0(B, C), k10_eqrel_1(A)), k3_xboole_0(k7_relat_1(B, k10_eqrel_1(A)), k7_relat_1(C, k10_eqrel_1(A))))) ) ) ) ) ).
fof(d1_relset_2, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k3_relset_2(A, B) <=>  (k9_xtuple_0(C)=k9_setfam_1(A) &  (! [D] :  (r1_tarski(D, A) => k1_funct_1(C, D)=k7_relat_1(B, D)) ) ) ) ) ) ) ) ) ).
fof(t19_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C))) =>  (r2_tarski(A, k9_xtuple_0(k3_relset_2(B, D))) => k1_funct_1(k3_relset_2(B, D), A)=k7_relset_1(B, C, D, A)) ) ) ) ) ) ).
fof(t20_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => r1_tarski(k10_xtuple_0(k3_relset_2(A, C)), k9_setfam_1(k2_relset_1(B, C)))) ) ) ) ).
fof(t21_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v1_funct_1(k3_relset_2(A, C)) &  (v1_funct_2(k3_relset_2(A, C), k9_setfam_1(A), k9_setfam_1(k2_relset_1(B, C))) & m1_subset_1(k3_relset_2(A, C), k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A), k9_setfam_1(k2_relset_1(B, C)))))) ) ) ) ) ) ).
fof(t22_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => r1_tarski(k5_setfam_1(B, k7_relset_1(k9_setfam_1(A), k9_setfam_1(B), k4_relset_2(B, A, C), A)), k7_relset_1(A, B, C, k3_tarski(A)))) ) ) ) ).
fof(d2_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))) => k5_relset_2(A, B, C, D)=k8_setfam_1(B, k7_relset_1(k9_setfam_1(A), k9_setfam_1(B), k4_relset_2(B, A, D), k10_eqrel_1(C)))) ) ) ) ) ) ).
fof(t23_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (k7_relset_1(k9_setfam_1(A), k9_setfam_1(B), k4_relset_2(B, A, D), k10_eqrel_1(C))=k1_xboole_0 <=> C=k1_xboole_0) ) ) ) ) ) ) ).
fof(t24_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C))) =>  (r2_hidden(A, k6_relset_2(B, C, D, E)) =>  (! [F] :  (r2_tarski(F, D) => r2_hidden(A, k1_relset_2(B, C, E, F))) ) ) ) ) ) ) ) ) ) ).
fof(t25_relset_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A))) =>  (r2_tarski(D, k6_relset_2(B, A, C, E)) <=>  (! [F] :  (r2_tarski(F, C) => r2_tarski(D, k1_relset_2(B, A, E, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (k7_relset_1(k9_setfam_1(A), k9_setfam_1(B), k4_relset_2(B, A, E), k10_eqrel_1(C))=k1_xboole_0 => k6_relset_2(A, B, k4_subset_1(A, C, D), E)=k6_relset_2(A, B, D, E)) ) ) ) ) ) ) ) ) ).
fof(t27_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))) => k6_relset_2(A, B, k4_subset_1(A, C, D), E)=k9_subset_1(B, k6_relset_2(A, B, C, E), k6_relset_2(A, B, D, E))) ) ) ) ) ) ) ) ).
fof(t29_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (C=k1_xboole_0 => k6_relset_2(A, B, C, D)=B) ) ) ) ) ) ) ).
fof(t31_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (r1_tarski(C, D) => r1_tarski(k6_relset_2(A, B, D, E), k6_relset_2(A, B, C, E))) ) ) ) ) ) ) ) ) ).
fof(t32_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))) => r1_tarski(k4_subset_1(B, k6_relset_2(A, B, C, E), k6_relset_2(A, B, D, E)), k6_relset_2(A, B, k9_subset_1(A, C, D), E))) ) ) ) ) ) ) ) ).
fof(t33_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))) => k6_relset_2(A, B, C, k9_subset_1(k2_zfmisc_1(A, B), D, E))=k9_subset_1(B, k6_relset_2(A, B, C, D), k6_relset_2(A, B, C, E))) ) ) ) ) ) ) ) ).
fof(t36_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (D=k1_xboole_0 =>  (C=k1_xboole_0 | k6_relset_2(A, B, C, D)=k1_xboole_0) ) ) ) ) ) ) ) ).
fof(t37_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (D=k2_zfmisc_1(A, B) => k6_relset_2(A, B, C, D)=B) ) ) ) ) ) ) ).
fof(t39_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (r1_relset_1(A, B, D, E) => r1_tarski(k6_relset_2(A, B, C, D), k6_relset_2(A, B, C, E))) ) ) ) ) ) ) ) ) ).
fof(t40_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))) => r1_tarski(k4_subset_1(B, k6_relset_2(A, B, C, D), k6_relset_2(A, B, C, E)), k6_relset_2(A, B, C, k4_subset_1(k2_zfmisc_1(A, B), D, E)))) ) ) ) ) ) ) ) ).
fof(t41_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, D))) =>  (r2_hidden(B, k1_relset_2(C, D, k3_subset_1(k2_zfmisc_1(C, D), E), A)) <=>  ( ~ (r2_hidden(k4_tarski(A, B), E))  &  (r2_hidden(A, C) & r2_hidden(B, D)) ) ) ) ) ) ) ) ) ).
fof(t42_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( ~ (C=k1_xboole_0)  => r1_tarski(k6_relset_2(A, B, C, D), k7_relset_1(A, B, D, C))) ) ) ) ) ) ) ).
fof(t43_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [D] :  (! [E] :  ( ~ ( ( ~ (r1_xboole_0(D, k7_relset_1(B, A, k3_relset_1(A, B, C), E)))  &  (! [F] :  (! [G] :  ~ ( (r2_tarski(F, D) &  (r2_tarski(G, E) & r2_tarski(F, k1_relset_2(B, A, k3_relset_1(A, B, C), G))) ) ) ) ) ) )  &  ~ ( ( (? [F] :  (? [G] :  (r2_tarski(F, D) &  (r2_tarski(G, E) & r2_tarski(F, k1_relset_2(B, A, k3_relset_1(A, B, C), G))) ) ) )  & r1_xboole_0(D, k7_relset_1(B, A, k3_relset_1(A, B, C), E))) ) ) ) ) ) ) ) ) ).
fof(t44_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [D] :  (! [E] :  ( ~ ( ( (? [F] :  (? [G] :  (r2_tarski(F, D) &  (r2_tarski(G, E) & r2_tarski(F, k1_relset_2(B, A, k3_relset_1(A, B, C), G))) ) ) )  & r1_xboole_0(E, k7_relset_1(A, B, C, D))) )  &  ~ ( ( ~ (r1_xboole_0(E, k7_relset_1(A, B, C, D)))  &  (! [F] :  (! [G] :  ~ ( (r2_tarski(F, D) &  (r2_tarski(G, E) & r2_tarski(F, k1_relset_2(B, A, k3_relset_1(A, B, C), G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (r1_xboole_0(C, k7_relset_1(B, A, k3_relset_1(A, B, E), D)) <=> r1_xboole_0(D, k7_relset_1(A, B, E, C))) ) ) ) ) ) ) ) ) ).
fof(t46_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [D] : k7_relset_1(A, B, C, D)=k7_relset_1(A, B, C, k3_xboole_0(D, k9_xtuple_0(C)))) ) ) ) ) ).
fof(t47_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [D] : k7_relset_1(B, A, k3_relset_1(A, B, C), D)=k7_relset_1(B, A, k3_relset_1(A, B, C), k3_xboole_0(D, k10_xtuple_0(C)))) ) ) ) ) ).
fof(t48_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))) => k3_subset_1(B, k6_relset_2(A, B, C, D))=k7_relset_1(A, B, k3_subset_1(k2_zfmisc_1(A, B), D), C)) ) ) ) ) ) ).
fof(t49_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))) => k3_subset_1(B, k7_relset_1(A, B, D, C))=k6_relset_2(A, B, C, k3_subset_1(k2_zfmisc_1(A, B), D))) ) ) ) ) ) ).
fof(t50_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (k9_xtuple_0(C)=k7_relset_1(B, A, k3_relset_1(A, B, C), B) & k10_xtuple_0(C)=k7_relset_1(A, B, C, A)) ) ) ) ) ).
fof(t51_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C))) =>  (k9_xtuple_0(k7_relset_2(A, B, C, D, E))=k7_relset_1(B, A, k3_relset_1(A, B, D), k9_xtuple_0(E)) & r1_tarski(k9_xtuple_0(k7_relset_2(A, B, C, D, E)), k9_xtuple_0(D))) ) ) ) ) ) ) ) ).
fof(t52_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C))) =>  (k10_xtuple_0(k7_relset_2(A, B, C, D, E))=k7_relset_1(B, C, E, k10_xtuple_0(D)) & r1_tarski(k10_xtuple_0(k7_relset_2(A, B, C, D, E)), k10_xtuple_0(E))) ) ) ) ) ) ) ) ).
fof(t53_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (r1_tarski(C, k9_xtuple_0(D)) <=> r1_tarski(C, k7_relset_1(A, A, k7_relset_2(A, B, A, D, k3_relset_1(A, B, D)), C))) ) ) ) ) ) ) ).
fof(t54_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (r1_tarski(C, k10_xtuple_0(D)) <=> r1_tarski(C, k7_relset_1(B, B, k7_relset_2(B, A, B, k3_relset_1(A, B, D), D), C))) ) ) ) ) ) ) ).
fof(t55_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (k9_xtuple_0(C)=k7_relset_1(B, A, k3_relset_1(A, B, C), B) & k7_relset_1(B, A, k3_relset_1(A, B, C), k7_relset_1(A, B, C, A))=k7_relset_1(B, A, k3_relset_1(A, B, C), k10_xtuple_0(C))) ) ) ) ) ).
fof(t56_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => k7_relset_1(B, A, k3_relset_1(A, B, C), B)=k7_relset_1(A, A, k7_relset_2(A, B, A, C, k3_relset_1(A, B, C)), A)) ) ) ) ).
fof(t57_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => k7_relset_1(A, B, C, A)=k7_relset_1(B, B, k7_relset_2(B, A, B, k3_relset_1(A, B, C), C), B)) ) ) ) ).
fof(t58_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, C))) => k6_relset_2(B, C, k7_relset_1(A, B, E, D), F)=k6_relset_2(A, C, D, k3_subset_1(k2_zfmisc_1(A, C), k7_relset_2(A, B, C, E, k3_subset_1(k2_zfmisc_1(B, C), F))))) ) ) ) ) ) ) ) ) ).
fof(t59_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => r2_relset_1(B, A, k3_relset_1(A, B, k3_subset_1(k2_zfmisc_1(A, B), C)), k3_subset_1(k2_zfmisc_1(B, A), k3_relset_1(A, B, C)))) ) ) ) ).
fof(t60_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (r1_tarski(C, k6_relset_2(B, A, D, k3_relset_1(A, B, E))) <=> r1_tarski(D, k6_relset_2(A, B, C, E))) ) ) ) ) ) ) ) ) ).
fof(t61_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (r1_tarski(k7_relset_1(A, B, E, k3_subset_1(A, C)), k3_subset_1(B, D)) <=> r1_tarski(k7_relset_1(B, A, k3_relset_1(A, B, E), D), C)) ) ) ) ) ) ) ) ) ).
fof(t62_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (r1_tarski(C, k6_relset_2(B, A, k6_relset_2(A, B, C, E), k3_relset_1(A, B, E))) & r1_tarski(D, k6_relset_2(A, B, k6_relset_2(B, A, D, k3_relset_1(A, B, E)), E))) ) ) ) ) ) ) ) ) ).
fof(t63_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(B)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (k6_relset_2(A, B, C, E)=k6_relset_2(A, B, k6_relset_2(B, A, k6_relset_2(A, B, C, E), k3_relset_1(A, B, E)), E) & k6_relset_2(B, A, D, k3_relset_1(A, B, E))=k6_relset_2(B, A, k6_relset_2(A, B, k6_relset_2(B, A, D, k3_relset_1(A, B, E)), E), k3_relset_1(A, B, E))) ) ) ) ) ) ) ) ) ).
fof(t64_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => k3_relat_1(k4_relat_1(A), C)=k3_relat_1(C, k4_relat_1(B))) ) ) ) ).
fof(dt_k1_relset_2, axiom,  (! [A, B, C, D] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => m1_subset_1(k1_relset_2(A, B, C, D), k1_zfmisc_1(B))) ) ).
fof(redefinition_k1_relset_2, axiom,  (! [A, B, C, D] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => k1_relset_2(A, B, C, D)=k9_relat_1(C, D)) ) ).
fof(dt_k2_relset_2, axiom,  (! [A, B, C, D] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => m1_subset_1(k2_relset_2(A, B, C, D), k1_zfmisc_1(A))) ) ).
fof(redefinition_k2_relset_2, axiom,  (! [A, B, C, D] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => k2_relset_2(A, B, C, D)=k10_relat_1(C, D)) ) ).
fof(dt_k3_relset_2, axiom,  (! [A, B] :  (v1_relat_1(B) =>  (v1_relat_1(k3_relset_2(A, B)) & v1_funct_1(k3_relset_2(A, B))) ) ) ).
fof(dt_k4_relset_2, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A))) =>  (v1_funct_1(k4_relset_2(A, B, C)) &  (v1_funct_2(k4_relset_2(A, B, C), k9_setfam_1(B), k9_setfam_1(A)) & m1_subset_1(k4_relset_2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(B), k9_setfam_1(A))))) ) ) ) ).
fof(redefinition_k4_relset_2, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A))) => k4_relset_2(A, B, C)=k3_relset_2(B, C)) ) ).
fof(dt_k6_relset_2, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  => m1_subset_1(k6_relset_2(A, B, C, D), k1_zfmisc_1(B))) ) ).
fof(redefinition_k6_relset_2, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  => k6_relset_2(A, B, C, D)=k5_relset_2(A, B, C, D)) ) ).
fof(dt_k7_relset_2, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C))))  => m1_subset_1(k7_relset_2(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(A, C)))) ) ).
fof(redefinition_k7_relset_2, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C))))  => k7_relset_2(A, B, C, D, E)=k3_relat_1(D, E)) ) ).
fof(t14_relset_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [C] :  (v1_relat_1(C) => k7_relat_1(C, k5_setfam_1(A, B))=k3_tarski(a_3_0_relset_2(A, B, C))) ) ) ) ) ).
fof(t15_relset_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => B=k3_tarski(a_2_0_relset_2(A, B))) ) ) ).
fof(t16_relset_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => m1_subset_1(a_2_0_relset_2(A, B), k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ).
fof(t17_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))) => k7_relset_1(A, B, D, C)=k3_tarski(a_4_0_relset_2(A, B, C, D))) ) ) ) ) ) ).
fof(t18_relset_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))) => m1_subset_1(a_4_1_relset_2(A, B, C, D), k1_zfmisc_1(k1_zfmisc_1(B)))) ) ) ) ) ) ) ).
fof(t28_relset_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))) => m1_subset_1(a_4_2_relset_2(A, B, C, D), k1_zfmisc_1(k1_zfmisc_1(B)))) ) ) ) ) ) ) ).
fof(t30_relset_2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(B))) =>  (E=a_4_3_relset_2(A, B, C, D) => k6_relset_2(A, B, k5_setfam_1(A, D), C)=k8_setfam_1(B, E)) ) ) ) ) ) ) ) ) ) ).
fof(t34_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B)))) => k7_relset_1(A, B, k5_setfam_1(k2_zfmisc_1(A, B), D), C)=k3_tarski(a_4_4_relset_2(A, B, C, D))) ) ) ) ) ) ).
fof(t35_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B)))) =>  (! [D] :  (! [E] :  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(D)) => m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E)))) ) ) ) ) ) ) ) ).
fof(t38_relset_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B)))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(B))) =>  (E=a_4_5_relset_2(A, B, C, D) => k6_relset_2(A, B, C, k8_setfam_1(k2_zfmisc_1(A, B), D))=k8_setfam_1(B, E)) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_relset_2, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B))) & v1_relat_1(D))  =>  (r2_hidden(A, a_3_0_relset_2(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(B)) &  (A=k7_relat_1(D, E) & r2_tarski(E, C)) ) ) ) ) ) ).
fof(fraenkel_a_2_0_relset_2, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(B)) =>  (r2_hidden(A, a_2_0_relset_2(B, C)) <=>  (? [D] :  (m1_subset_1(D, B) &  (A=k1_tarski(D) & r2_tarski(D, C)) ) ) ) ) ) ).
fof(fraenkel_a_4_0_relset_2, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(D, k1_zfmisc_1(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C))))  =>  (r2_hidden(A, a_4_0_relset_2(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, B) &  (A=k6_eqrel_1(B, C, E, F) & r2_tarski(F, D)) ) ) ) ) ) ).
fof(fraenkel_a_4_1_relset_2, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  (m1_subset_1(D, k1_zfmisc_1(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  (r2_hidden(A, a_4_1_relset_2(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, B) &  (A=k7_relset_1(B, C, E, F) & r2_tarski(F, D)) ) ) ) ) ) ).
fof(fraenkel_a_4_2_relset_2, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B))) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C)))) )  =>  (r2_hidden(A, a_4_2_relset_2(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, k1_zfmisc_1(B)) &  (A=k6_relset_2(B, C, F, E) & r2_tarski(F, D)) ) ) ) ) ) ).
fof(fraenkel_a_4_3_relset_2, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(C))  &  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C))) & m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(B)))) )  =>  (r2_hidden(A, a_4_3_relset_2(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, k1_zfmisc_1(B)) &  (A=k6_relset_2(B, C, F, D) & r2_tarski(F, E)) ) ) ) ) ) ).
fof(fraenkel_a_4_4_relset_2, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(D, k1_zfmisc_1(B)) & m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(B, C)))))  =>  (r2_hidden(A, a_4_4_relset_2(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, C))) &  (A=k7_relset_1(B, C, F, D) & r2_tarski(F, E)) ) ) ) ) ) ).
fof(fraenkel_a_6_0_relset_2, axiom,  (! [A, B, C, D, E, F, G] :  ( (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(B, C)))) & m1_subset_1(G, k1_zfmisc_1(E)))  =>  (r2_hidden(A, a_6_0_relset_2(B, C, D, E, F, G)) <=>  (? [H] :  (m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(E, F))) &  (A=k6_relset_2(E, F, G, H) & r2_tarski(H, D)) ) ) ) ) ) ).
fof(fraenkel_a_4_5_relset_2, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(D, k1_zfmisc_1(B)) & m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(B, C)))))  =>  (r2_hidden(A, a_4_5_relset_2(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(B, C))) &  (A=k6_relset_2(B, C, D, F) & r2_tarski(F, E)) ) ) ) ) ) ).
fof(fc1_revrot_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ( ~ (v7_struct_0(k15_euclid(A)))  & v5_rltopsp1(k15_euclid(A))) ) ) ).
fof(fc2_revrot_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k15_euclid(2))) &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(B) & m1_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) )  => v1_topreal1(k1_finseq_6(u1_struct_0(k15_euclid(2)), B, A))) ) ).
fof(fc3_revrot_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k15_euclid(2))) &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_goboard5(B) & m1_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) )  => v1_goboard5(k1_finseq_6(u1_struct_0(k15_euclid(2)), B, A))) ) ).
fof(fc4_revrot_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k15_euclid(2))) &  ( ~ (v3_funct_1(B))  &  ( ~ (v1_xboole_0(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(B) &  (v2_topreal1(B) &  (v1_goboard5(B) &  (v2_goboard5(B) & m1_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  => v2_topreal1(k1_finseq_6(u1_struct_0(k15_euclid(2)), B, A))) ) ).
fof(fc5_revrot_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k15_euclid(2))) &  ( ~ (v1_xboole_0(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v2_goboard5(B) & m1_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) )  => v2_goboard5(k1_finseq_6(u1_struct_0(k15_euclid(2)), B, A))) ) ).
fof(fc6_revrot_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k15_euclid(2))) &  ( ~ (v3_funct_1(B))  &  ( ~ (v1_xboole_0(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(B) &  (v2_topreal1(B) &  (v1_goboard5(B) &  (v2_goboard5(B) &  (v1_sprect_2(B) & m1_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) ) )  => v1_sprect_2(k1_finseq_6(u1_struct_0(k15_euclid(2)), B, A))) ) ).
fof(t19_revrot_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ~ (k16_euclid(A)=k22_euclid(A)) ) ) ).
fof(t20_revrot_1, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (r1_tarski(k10_xtuple_0(A), k10_xtuple_0(B)) => r1_tarski(k10_xtuple_0(k1_goboard1(A)), k10_xtuple_0(k1_goboard1(B)))) ) ) ) ) ).
fof(t21_revrot_1, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (k10_xtuple_0(A)=k10_xtuple_0(B) => k10_xtuple_0(k1_goboard1(A))=k10_xtuple_0(k1_goboard1(B))) ) ) ) ) ).
fof(t22_revrot_1, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (r1_tarski(k10_xtuple_0(A), k10_xtuple_0(B)) => r1_tarski(k10_xtuple_0(k2_goboard1(A)), k10_xtuple_0(k2_goboard1(B)))) ) ) ) ) ).
fof(t23_revrot_1, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (k10_xtuple_0(A)=k10_xtuple_0(B) => k10_xtuple_0(k2_goboard1(A))=k10_xtuple_0(k2_goboard1(B))) ) ) ) ) ).
fof(t24_revrot_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(B, k10_xtuple_0(C)) & r1_xxreal_0(1, A))  =>  (r1_xxreal_0(k3_finseq_1(k2_finseq_5(u1_struct_0(k15_euclid(2)), C, B)), A) | k2_topreal1(2, k1_finseq_6(u1_struct_0(k15_euclid(2)), C, B), A)=k2_topreal1(2, C, k1_nat_1(k7_nat_d(A, 1), k4_finseq_4(C, B)))) ) ) ) ) ) ) ) ).
fof(t25_revrot_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(B, k10_xtuple_0(C)) & r1_xxreal_0(k4_finseq_4(C, B), A))  =>  (r1_xxreal_0(k3_finseq_1(C), A) | k2_topreal1(2, C, A)=k2_topreal1(2, k1_finseq_6(u1_struct_0(k15_euclid(2)), C, B), k1_nat_1(k7_nat_d(A, k4_finseq_4(C, B)), 1))) ) ) ) ) ) ) ) ).
fof(t26_revrot_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) & m2_finseq_1(B, u1_struct_0(k15_euclid(2))))  => k26_seq_4(k1_goboard1(B))=k26_seq_4(k1_goboard1(k1_finseq_6(u1_struct_0(k15_euclid(2)), B, A)))) ) ) ) ).
fof(t27_revrot_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) & m2_finseq_1(B, u1_struct_0(k15_euclid(2))))  => k26_seq_4(k2_goboard1(B))=k26_seq_4(k2_goboard1(k1_finseq_6(u1_struct_0(k15_euclid(2)), B, A)))) ) ) ) ).
fof(t28_revrot_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) & m2_finseq_1(B, u1_struct_0(k15_euclid(2)))) )  => k2_goboard2(k1_finseq_6(u1_struct_0(k15_euclid(2)), B, A))=k2_goboard2(B)) ) ) ) ).
fof(t29_revrot_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v3_funct_1(B))  &  ( ~ (v1_xboole_0(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(B) &  (v2_topreal1(B) &  (v1_goboard5(B) &  (v2_goboard5(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => k4_finseq_5(u1_struct_0(k15_euclid(2)), k1_finseq_6(u1_struct_0(k15_euclid(2)), B, A))=k1_finseq_6(u1_struct_0(k15_euclid(2)), k1_goboard9(B), A)) ) ) ) ).
fof(t30_revrot_1, axiom,  (! [A] :  ( (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) )  =>  ( ~ (r1_xxreal_0(k3_finseq_1(A), 4))  => k9_subset_1(u1_struct_0(k15_euclid(2)), k2_topreal1(2, A, k7_nat_d(k3_finseq_1(A), 1)), k2_topreal1(2, A, 1))=k6_domain_1(u1_struct_0(k15_euclid(2)), k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1))) ) ) ).
fof(t31_revrot_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( (v1_finseq_6(C, u1_struct_0(k15_euclid(2))) & m2_finseq_1(C, u1_struct_0(k15_euclid(2))))  =>  ( (r2_tarski(B, k10_xtuple_0(C)) & r1_xxreal_0(k3_finseq_1(k2_finseq_5(u1_struct_0(k15_euclid(2)), C, B)), A))  =>  (r1_xxreal_0(k3_finseq_1(C), A) | k2_topreal1(2, k1_finseq_6(u1_struct_0(k15_euclid(2)), C, B), A)=k2_topreal1(2, C, k7_nat_d(k1_nat_1(A, k4_finseq_4(C, B)), k3_finseq_1(C)))) ) ) ) ) ) ) ) ).
fof(t32_revrot_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  ( (v1_finseq_6(C, u1_struct_0(k15_euclid(2))) & m2_finseq_1(C, u1_struct_0(k15_euclid(2))))  =>  ( (r2_tarski(B, k10_xtuple_0(C)) & r1_xxreal_0(1, A))  =>  (r1_xxreal_0(k4_finseq_4(C, B), A) | k2_topreal1(2, C, A)=k2_topreal1(2, k1_finseq_6(u1_struct_0(k15_euclid(2)), C, B), k7_nat_d(k1_nat_1(A, k3_finseq_1(C)), k4_finseq_4(C, B)))) ) ) ) ) ) ) ) ).
fof(t33_revrot_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) & m2_finseq_1(B, u1_struct_0(k15_euclid(2))))  => k3_topreal1(2, k1_finseq_6(u1_struct_0(k15_euclid(2)), B, A))=k3_topreal1(2, B)) ) ) ) ).
fof(t34_revrot_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) & m2_finseq_1(B, u1_struct_0(k15_euclid(2))))  =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), B, C) <=> r1_goboard1(u1_struct_0(k15_euclid(2)), k1_finseq_6(u1_struct_0(k15_euclid(2)), B, A), C)) ) ) ) ) ) ) ).
fof(t35_revrot_1, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r2_tarski(B, k10_xtuple_0(A)) & r1_xxreal_0(1, C))  =>  (r1_xxreal_0(k4_finseq_4(A, B), C) | k5_goboard5(A, C)=k5_goboard5(k1_finseq_6(u1_struct_0(k15_euclid(2)), A, B), k7_nat_d(k1_nat_1(C, k3_finseq_1(A)), k4_finseq_4(A, B)))) ) ) ) ) ) ) ) ).
fof(t36_revrot_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v3_funct_1(B))  &  ( ~ (v1_xboole_0(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(B) &  (v2_topreal1(B) &  (v1_goboard5(B) &  (v2_goboard5(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => k2_goboard9(k1_finseq_6(u1_struct_0(k15_euclid(2)), B, A))=k2_goboard9(B)) ) ) ) ).
fof(t37_revrot_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v3_funct_1(B))  &  ( ~ (v1_xboole_0(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(B) &  (v2_topreal1(B) &  (v1_goboard5(B) &  (v2_goboard5(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => k3_goboard9(k1_finseq_6(u1_struct_0(k15_euclid(2)), B, A))=k3_goboard9(B)) ) ) ) ).
fof(t38_revrot_1, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (v1_sprect_2(A) | v1_sprect_2(k1_goboard9(A))) ) ) ).
fof(cc1_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (m1_rewrite1(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(cc2_rewrite1, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_rewrite1(A))  =>  (v1_relat_1(A) &  (v2_relat_2(A) & v1_rewrite1(A)) ) ) ) ).
fof(cc3_rewrite1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_2(A) & v1_rewrite1(A)) )  =>  (v1_relat_1(A) & v3_rewrite1(A)) ) ) ).
fof(cc4_rewrite1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) &  (v2_rewrite1(A) & v3_rewrite1(A)) ) ) ) ).
fof(cc5_rewrite1, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_rewrite1(A))  =>  (v1_relat_1(A) & v2_rewrite1(A)) ) ) ).
fof(cc6_rewrite1, axiom,  (! [A] :  ( (v1_relat_1(A) & v8_rewrite1(A))  =>  (v1_relat_1(A) & v7_rewrite1(A)) ) ) ).
fof(cc7_rewrite1, axiom,  (! [A] :  ( (v1_relat_1(A) & v7_rewrite1(A))  =>  (v1_relat_1(A) &  (v8_rewrite1(A) & v9_rewrite1(A)) ) ) ) ).
fof(cc8_rewrite1, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_rewrite1(A))  =>  (v1_relat_1(A) & v7_rewrite1(A)) ) ) ).
fof(cc9_rewrite1, axiom,  (! [A] :  ( (v1_relat_1(A) & v8_rewrite1(A))  =>  (v1_relat_1(A) & v5_rewrite1(A)) ) ) ).
fof(cc10_rewrite1, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_rewrite1(A))  =>  (v1_relat_1(A) & v4_rewrite1(A)) ) ) ).
fof(cc11_rewrite1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_rewrite1(A) & v4_rewrite1(A)) )  =>  (v1_relat_1(A) & v8_rewrite1(A)) ) ) ).
fof(cc12_rewrite1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v6_rewrite1(A)) ) ) ).
fof(cc13_rewrite1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v3_rewrite1(A) & v9_rewrite1(A)) )  =>  (v1_relat_1(A) & v7_rewrite1(A)) ) ) ).
fof(cc14_rewrite1, axiom,  (! [A] :  ( (v1_relat_1(A) & v10_rewrite1(A))  =>  (v1_relat_1(A) &  (v3_rewrite1(A) & v7_rewrite1(A)) ) ) ) ).
fof(cc15_rewrite1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v3_rewrite1(A) & v7_rewrite1(A)) )  =>  (v1_relat_1(A) & v10_rewrite1(A)) ) ) ).
fof(rc1_rewrite1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) & v10_rewrite1(A)) ) ) ).
fof(d1_rewrite1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ( ( (A=k1_xboole_0 | B=k1_xboole_0)  =>  (C=k1_rewrite1(A, B) <=> C=k7_finseq_1(A, B)) )  &  ~ ( ( ~ (A=k1_xboole_0)  &  ( ~ (B=k1_xboole_0)  &  ~ ( (C=k1_rewrite1(A, B) <=>  (? [D] :  (v7_ordinal1(D) &  (? [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  &  (k3_finseq_1(A)=k1_nat_1(D, 1) &  (E=k5_relat_1(A, k2_finseq_1(D)) & C=k7_finseq_1(E, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_rewrite1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (k1_rewrite1(k1_xboole_0, A)=A & k1_rewrite1(A, k1_xboole_0)=A) ) ) ).
fof(t2_rewrite1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( ~ (B=k1_xboole_0)  => k1_rewrite1(k7_finseq_1(A, k9_finseq_1(C)), B)=k7_finseq_1(A, B)) ) ) ) ) ) ).
fof(t3_rewrite1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (! [D] : k1_rewrite1(k7_finseq_1(A, k9_finseq_1(C)), k7_finseq_1(k9_finseq_1(D), B))=k7_finseq_1(k7_finseq_1(A, k9_finseq_1(D)), B)) ) ) ) ) ) ).
fof(t4_rewrite1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( ~ (A=k1_xboole_0)  => k1_rewrite1(k9_finseq_1(B), A)=A) ) ) ) ).
fof(t5_rewrite1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  ~ ( ( ~ (A=k1_xboole_0)  &  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ~ ( (A=k7_finseq_1(k9_finseq_1(B), C) & k3_finseq_1(A)=k1_nat_1(k3_finseq_1(C), 1)) ) ) ) ) ) ) ) ) ).
fof(d2_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (m1_rewrite1(B, A) <=>  ( ~ (r1_xxreal_0(k3_finseq_1(B), k5_numbers))  &  (! [C] :  (v7_ordinal1(C) =>  ( (r2_tarski(C, k4_finseq_1(B)) & r2_tarski(k1_nat_1(C, 1), k4_finseq_1(B)))  => r2_hidden(k4_tarski(k1_funct_1(B, C), k1_funct_1(B, k1_nat_1(C, 1))), A)) ) ) ) ) ) ) ) ) ).
fof(t6_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] : m1_rewrite1(k9_finseq_1(B), A)) ) ) ).
fof(t7_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(B, C), A) => m1_rewrite1(k10_finseq_1(B, C), A)) ) ) ) ) ).
fof(t8_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (m1_rewrite1(B, A) =>  (! [C] :  (m1_rewrite1(C, A) =>  (k1_funct_1(B, k3_finseq_1(B))=k1_funct_1(C, 1) => m1_rewrite1(k1_rewrite1(B, C), A)) ) ) ) ) ) ) ).
fof(t9_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (m1_rewrite1(B, A) => m1_rewrite1(k3_finseq_5(B), k2_relat_1(A))) ) ) ) ).
fof(t10_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (r1_tarski(A, B) =>  (! [C] :  (m1_rewrite1(C, A) => m1_rewrite1(C, B)) ) ) ) ) ) ) ).
fof(d3_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (r1_rewrite1(A, B, C) <=>  (? [D] :  (m1_rewrite1(D, A) &  (k1_funct_1(D, 1)=B & k1_funct_1(D, k3_finseq_1(D))=C) ) ) ) ) ) ) ) ).
fof(d4_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (r2_rewrite1(A, B, C) <=> r1_rewrite1(k2_xboole_0(A, k2_relat_1(A)), B, C)) ) ) ) ) ).
fof(t11_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (r1_rewrite1(A, B, C) <=>  (? [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  &  ( ~ (r1_xxreal_0(k3_finseq_1(D), k5_numbers))  &  (k1_funct_1(D, 1)=B &  (k1_funct_1(D, k3_finseq_1(D))=C &  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(E, k4_finseq_1(D)) & r2_tarski(k1_nat_1(E, 1), k4_finseq_1(D)))  => r2_hidden(k4_tarski(k1_funct_1(D, E), k1_funct_1(D, k1_nat_1(E, 1))), A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] : r1_rewrite1(A, B, B)) ) ) ).
fof(t13_rewrite1, axiom,  (! [A] :  (! [B] :  (r1_rewrite1(k1_xboole_0, A, B) => A=B) ) ) ).
fof(t14_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (r1_rewrite1(A, B, C) =>  (r2_hidden(B, k1_relat_1(A)) | B=C) ) ) ) ) ) ).
fof(t15_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(B, C), A) => r1_rewrite1(A, B, C)) ) ) ) ) ).
fof(t16_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (! [D] :  ( (r1_rewrite1(A, B, C) & r1_rewrite1(A, C, D))  => r1_rewrite1(A, B, D)) ) ) ) ) ) ).
fof(t17_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (m1_rewrite1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(C, k4_finseq_1(B)) &  (r2_tarski(D, k4_finseq_1(B)) & r1_xxreal_0(C, D)) )  => r1_rewrite1(A, k1_funct_1(B, C), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ).
fof(t18_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (r1_rewrite1(A, B, C) =>  (B=C |  (r2_hidden(B, k1_relat_1(A)) & r2_hidden(C, k1_relat_1(A))) ) ) ) ) ) ) ).
fof(t19_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (r1_rewrite1(A, B, C) =>  (r2_hidden(B, k1_relat_1(A)) <=> r2_hidden(C, k1_relat_1(A))) ) ) ) ) ) ).
fof(t20_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (r1_rewrite1(A, B, C) <=>  (B=C | r2_hidden(k4_tarski(B, C), k18_finseq_1(A))) ) ) ) ) ) ).
fof(t21_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (r1_rewrite1(A, B, C) <=> r1_rewrite1(k18_finseq_1(A), B, C)) ) ) ) ) ).
fof(t22_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (r1_tarski(A, B) =>  (! [C] :  (! [D] :  (r1_rewrite1(A, C, D) => r1_rewrite1(B, C, D)) ) ) ) ) ) ) ) ).
fof(t23_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (! [D] :  (r1_rewrite1(A, C, D) <=> r1_rewrite1(k2_xboole_0(A, k4_relat_1(B)), C, D)) ) ) ) ) ) ).
fof(t24_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (r1_rewrite1(A, B, C) => r1_rewrite1(k2_relat_1(A), C, B)) ) ) ) ) ).
fof(t25_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (r1_rewrite1(A, B, C) =>  (r2_rewrite1(A, B, C) & r2_rewrite1(A, C, B)) ) ) ) ) ) ).
fof(t26_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] : r2_rewrite1(A, B, B)) ) ) ).
fof(t27_rewrite1, axiom,  (! [A] :  (! [B] :  (r2_rewrite1(k1_xboole_0, A, B) => A=B) ) ) ).
fof(t28_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (r2_rewrite1(A, B, C) =>  (r2_hidden(B, k1_relat_1(A)) | B=C) ) ) ) ) ) ).
fof(t29_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(B, C), A) => r2_rewrite1(A, B, C)) ) ) ) ) ).
fof(t30_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (! [D] :  ( (r2_rewrite1(A, B, C) & r2_rewrite1(A, C, D))  => r2_rewrite1(A, B, D)) ) ) ) ) ) ).
fof(t31_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (r2_rewrite1(A, B, C) => r2_rewrite1(A, C, B)) ) ) ) ) ).
fof(t32_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (r2_rewrite1(A, B, C) =>  (B=C |  (r2_hidden(B, k1_relat_1(A)) & r2_hidden(C, k1_relat_1(A))) ) ) ) ) ) ) ).
fof(d5_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r3_rewrite1(A, B) <=>  (! [C] :  ~ (r2_hidden(k4_tarski(B, C), A)) ) ) ) ) ) ).
fof(t33_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  ( (r3_rewrite1(A, B) & r1_rewrite1(A, B, C))  => B=C) ) ) ) ) ).
fof(t34_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  ( ~ (r2_hidden(B, k1_relat_1(A)))  => r3_rewrite1(A, B)) ) ) ) ).
fof(d6_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (r4_rewrite1(A, B, C) <=>  (r3_rewrite1(A, C) & r1_rewrite1(A, B, C)) ) ) ) ) ) ).
fof(d7_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (r5_rewrite1(A, B, C) <=>  (? [D] :  (r1_rewrite1(A, B, D) & r1_rewrite1(A, C, D)) ) ) ) ) ) ) ).
fof(d8_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (r6_rewrite1(A, B, C) <=>  (? [D] :  (r1_rewrite1(A, D, B) & r1_rewrite1(A, D, C)) ) ) ) ) ) ) ).
fof(d9_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (r7_rewrite1(A, B, C) <=>  (? [D] :  ( (r2_hidden(k4_tarski(B, D), A) | B=D)  &  (r2_hidden(k4_tarski(C, D), A) | C=D) ) ) ) ) ) ) ) ).
fof(d10_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (r8_rewrite1(A, B, C) <=>  (? [D] :  ( (r2_hidden(k4_tarski(D, B), A) | B=D)  &  (r2_hidden(k4_tarski(D, C), A) | C=D) ) ) ) ) ) ) ) ).
fof(t35_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  ( ~ (r2_hidden(B, k1_relat_1(A)))  => r4_rewrite1(A, B, B)) ) ) ) ).
fof(t36_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (r1_rewrite1(A, B, C) =>  (r5_rewrite1(A, B, C) &  (r6_rewrite1(A, B, C) &  (r5_rewrite1(A, C, B) & r6_rewrite1(A, C, B)) ) ) ) ) ) ) ) ).
fof(t37_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  ( (r5_rewrite1(A, B, C) | r6_rewrite1(A, B, C))  => r2_rewrite1(A, B, C)) ) ) ) ) ).
fof(t38_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r5_rewrite1(A, B, B) & r6_rewrite1(A, B, B)) ) ) ) ).
fof(t39_rewrite1, axiom,  (! [A] :  (! [B] :  ( (r5_rewrite1(k1_xboole_0, A, B) | r6_rewrite1(k1_xboole_0, A, B))  => A=B) ) ) ).
fof(t40_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (r5_rewrite1(A, B, C) => r5_rewrite1(A, C, B)) ) ) ) ) ).
fof(t41_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (r6_rewrite1(A, B, C) => r6_rewrite1(A, C, B)) ) ) ) ) ).
fof(t42_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (! [D] :  ( ( (r1_rewrite1(A, B, C) & r5_rewrite1(A, C, D))  |  (r5_rewrite1(A, B, C) & r1_rewrite1(A, D, C)) )  => r5_rewrite1(A, B, D)) ) ) ) ) ) ).
fof(t43_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (! [D] :  ( ( (r1_rewrite1(A, C, B) & r6_rewrite1(A, C, D))  |  (r6_rewrite1(A, B, C) & r1_rewrite1(A, C, D)) )  => r6_rewrite1(A, B, D)) ) ) ) ) ) ).
fof(t44_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (r7_rewrite1(A, B, C) => r5_rewrite1(A, B, C)) ) ) ) ) ).
fof(t45_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (r8_rewrite1(A, B, C) => r6_rewrite1(A, B, C)) ) ) ) ) ).
fof(d11_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r9_rewrite1(A, B) <=>  (? [C] : r4_rewrite1(A, B, C)) ) ) ) ) ).
fof(t46_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  ( ~ (r2_hidden(B, k1_relat_1(A)))  => r9_rewrite1(A, B)) ) ) ) ).
fof(d12_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  ( (r9_rewrite1(A, B) &  (! [C] :  (! [D] :  ( (r4_rewrite1(A, B, C) & r4_rewrite1(A, B, D))  => C=D) ) ) )  =>  (! [C] :  (C=k2_rewrite1(A, B) <=> r4_rewrite1(A, B, C)) ) ) ) ) ) ).
fof(d13_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v1_rewrite1(A) <=> v1_wellord1(k2_relat_1(A))) ) ) ).
fof(d14_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v2_rewrite1(A) <=>  (! [B] :  (r2_hidden(B, k1_relat_1(A)) => r9_rewrite1(A, B)) ) ) ) ) ).
fof(d15_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v3_rewrite1(A) <=>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) )  =>  ~ ( (! [C] :  (v7_ordinal1(C) => r2_hidden(k4_tarski(k1_funct_1(B, C), k1_funct_1(B, k1_nat_1(C, 1))), A)) ) ) ) ) ) ) ) ).
fof(d16_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v1_rewrite1(A) <=>  (! [B] :  ~ ( (r1_tarski(B, k1_relat_1(A)) &  ( ~ (B=k1_xboole_0)  &  (! [C] :  ~ ( (r2_hidden(C, B) &  (! [D] :  ~ ( (r2_hidden(D, B) &  ( ~ (C=D)  & r2_hidden(k4_tarski(C, D), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_rewrite1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_rewrite1(A))  =>  (! [B] :  (v1_relat_1(B) =>  (r1_tarski(B, A) => v1_rewrite1(B)) ) ) ) ) ).
fof(d17_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (r10_rewrite1(A, B) <=>  (! [C] :  (! [D] :  (! [E] :  ~ ( (r2_hidden(k4_tarski(C, D), A) &  (r2_hidden(k4_tarski(C, E), B) &  (! [F] :  ~ ( (r1_rewrite1(B, D, F) & r1_rewrite1(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (r11_rewrite1(A, B) <=>  (! [C] :  (! [D] :  (! [E] :  ~ ( (r1_rewrite1(A, C, D) &  (r1_rewrite1(B, C, E) &  (! [F] :  ~ ( (r1_rewrite1(B, D, F) & r1_rewrite1(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (r11_rewrite1(A, B) => r10_rewrite1(A, B)) ) ) ) ) ).
fof(d19_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v4_rewrite1(A) <=>  (! [B] :  (! [C] :  ( (r3_rewrite1(A, B) &  (r3_rewrite1(A, C) & r2_rewrite1(A, B, C)) )  => B=C) ) ) ) ) ) ).
fof(d20_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v5_rewrite1(A) <=>  (! [B] :  (! [C] :  ( (r3_rewrite1(A, B) & r2_rewrite1(A, B, C))  => r1_rewrite1(A, C, B)) ) ) ) ) ) ).
fof(d21_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v6_rewrite1(A) <=>  (! [B] :  (! [C] :  (! [D] :  ( (r2_hidden(k4_tarski(B, C), A) & r2_hidden(k4_tarski(B, D), A))  => r7_rewrite1(A, C, D)) ) ) ) ) ) ) ).
fof(d22_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v7_rewrite1(A) <=>  (! [B] :  (! [C] :  (r6_rewrite1(A, B, C) => r5_rewrite1(A, B, C)) ) ) ) ) ) ).
fof(d23_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v8_rewrite1(A) <=>  (! [B] :  (! [C] :  (r2_rewrite1(A, B, C) => r5_rewrite1(A, B, C)) ) ) ) ) ) ).
fof(d24_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v9_rewrite1(A) <=>  (! [B] :  (! [C] :  (! [D] :  ( (r2_hidden(k4_tarski(B, C), A) & r2_hidden(k4_tarski(B, D), A))  => r5_rewrite1(A, C, D)) ) ) ) ) ) ) ).
fof(t49_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v6_rewrite1(A) =>  (! [B] :  (! [C] :  (! [D] :  ( (r1_rewrite1(A, B, C) & r2_hidden(k4_tarski(B, D), A))  => r5_rewrite1(A, C, D)) ) ) ) ) ) ) ).
fof(t50_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v7_rewrite1(A) <=> r11_rewrite1(A, A)) ) ) ).
fof(t51_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v7_rewrite1(A) <=>  (! [B] :  (! [C] :  (! [D] :  ( (r1_rewrite1(A, B, C) & r2_hidden(k4_tarski(B, D), A))  => r5_rewrite1(A, C, D)) ) ) ) ) ) ) ).
fof(t52_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v9_rewrite1(A) <=> r10_rewrite1(A, A)) ) ) ).
fof(t53_rewrite1, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_rewrite1(A))  =>  (! [B] :  (! [C] :  (! [D] :  ( (r4_rewrite1(A, B, C) & r4_rewrite1(A, B, D))  => C=D) ) ) ) ) ) ).
fof(t54_rewrite1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_rewrite1(A) & v4_rewrite1(A)) )  =>  (! [B] : r4_rewrite1(A, B, k2_rewrite1(A, B))) ) ) ).
fof(t55_rewrite1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_rewrite1(A) & v4_rewrite1(A)) )  =>  (! [B] :  (! [C] :  (r2_rewrite1(A, B, C) => k2_rewrite1(A, B)=k2_rewrite1(A, C)) ) ) ) ) ).
fof(d25_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v10_rewrite1(A) <=>  (v7_rewrite1(A) & v3_rewrite1(A)) ) ) ) ).
fof(t56_rewrite1, axiom,  (! [A] :  ( (v1_relat_1(A) & v8_rewrite1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v8_rewrite1(B))  =>  (r11_rewrite1(A, B) => v8_rewrite1(k2_xboole_0(A, B))) ) ) ) ) ).
fof(t57_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v7_rewrite1(A) <=> v9_rewrite1(k18_finseq_1(A))) ) ) ).
fof(t58_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v7_rewrite1(A) <=> v6_rewrite1(k18_finseq_1(A))) ) ) ).
fof(d26_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (r12_rewrite1(A, B) <=>  (! [C] :  (! [D] :  (r2_rewrite1(A, C, D) <=> r2_rewrite1(B, C, D)) ) ) ) ) ) ) ) ).
fof(d27_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (r13_rewrite1(A, B, C) <=>  (r8_rewrite1(A, B, C) &  ~ (r5_rewrite1(A, B, C)) ) ) ) ) ) ) ).
fof(t59_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (r13_rewrite1(A, B, C) => r2_rewrite1(A, B, C)) ) ) ) ) ).
fof(t60_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  ( (! [B] :  (! [C] :  ~ (r13_rewrite1(A, B, C)) ) )  => v9_rewrite1(A)) ) ) ).
fof(t61_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  ( (! [C] :  (! [D] :  (r2_hidden(k4_tarski(C, D), B) => r13_rewrite1(A, C, D)) ) )  => r12_rewrite1(A, k2_xboole_0(A, B))) ) ) ) ) ).
fof(t62_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (? [B] :  ( (v1_relat_1(B) & v10_rewrite1(B))  &  (r1_tarski(k1_relat_1(B), k1_relat_1(A)) &  (! [C] :  (! [D] :  (r2_rewrite1(A, C, D) <=> r5_rewrite1(B, C, D)) ) ) ) ) ) ) ) ).
fof(d28_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  ( (v1_relat_1(B) & v10_rewrite1(B))  =>  (m2_rewrite1(B, A) <=>  (! [C] :  (! [D] :  (r2_rewrite1(A, C, D) <=> r5_rewrite1(B, C, D)) ) ) ) ) ) ) ) ).
fof(t63_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (m2_rewrite1(B, A) => r12_rewrite1(A, B)) ) ) ) ).
fof(t64_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  ( (v1_relat_1(B) & v10_rewrite1(B))  =>  (r12_rewrite1(A, B) => m2_rewrite1(B, A)) ) ) ) ) ).
fof(t65_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (m2_rewrite1(B, A) =>  (! [C] :  (! [D] :  (r2_rewrite1(A, C, D) <=> k2_rewrite1(B, C)=k2_rewrite1(B, D)) ) ) ) ) ) ) ).
fof(s1_rewrite1, axiom,  ( ( (! [A] :  (v7_ordinal1(A) =>  ( (r2_tarski(A, k4_finseq_1(f1_s1_rewrite1)) & r2_tarski(k1_nat_1(A, 1), k4_finseq_1(f1_s1_rewrite1)))  => p1_s1_rewrite1(k1_funct_1(f1_s1_rewrite1, A), k1_funct_1(f1_s1_rewrite1, k1_nat_1(A, 1)))) ) )  &  ( (! [A] :  (v7_ordinal1(A) =>  ( (r2_tarski(A, k4_finseq_1(f2_s1_rewrite1)) & r2_tarski(k1_nat_1(A, 1), k4_finseq_1(f2_s1_rewrite1)))  => p1_s1_rewrite1(k1_funct_1(f2_s1_rewrite1, A), k1_funct_1(f2_s1_rewrite1, k1_nat_1(A, 1)))) ) )  &  ( ~ (r1_xxreal_0(k3_finseq_1(f1_s1_rewrite1), k5_numbers))  &  ( ~ (r1_xxreal_0(k3_finseq_1(f2_s1_rewrite1), k5_numbers))  & k1_funct_1(f1_s1_rewrite1, k3_finseq_1(f1_s1_rewrite1))=k1_funct_1(f2_s1_rewrite1, 1)) ) ) )  =>  (! [A] :  (v7_ordinal1(A) =>  ( (r2_tarski(A, k4_finseq_1(k1_rewrite1(f1_s1_rewrite1, f2_s1_rewrite1))) & r2_tarski(k1_nat_1(A, 1), k4_finseq_1(k1_rewrite1(f1_s1_rewrite1, f2_s1_rewrite1))))  =>  (! [B] :  (! [C] :  ( (B=k1_funct_1(k1_rewrite1(f1_s1_rewrite1, f2_s1_rewrite1), A) & C=k1_funct_1(k1_rewrite1(f1_s1_rewrite1, f2_s1_rewrite1), k1_nat_1(A, 1)))  => p1_s1_rewrite1(B, C)) ) ) ) ) ) ) ).
fof(s2_rewrite1, axiom,  ( (v1_rewrite1(f1_s2_rewrite1) &  (! [A] :  ( (! [B] :  (r2_hidden(k4_tarski(A, B), f1_s2_rewrite1) =>  (A=B | p1_s2_rewrite1(B)) ) )  => p1_s2_rewrite1(A)) ) )  =>  (! [A] :  (r2_hidden(A, k1_relat_1(f1_s2_rewrite1)) => p1_s2_rewrite1(A)) ) ) ).
fof(dt_k1_rewrite1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  =>  (v1_relat_1(k1_rewrite1(A, B)) &  (v1_funct_1(k1_rewrite1(A, B)) & v1_finseq_1(k1_rewrite1(A, B))) ) ) ) ).
fof(dt_f1_s1_rewrite1, axiom,  (v1_relat_1(f1_s1_rewrite1) &  (v1_funct_1(f1_s1_rewrite1) & v1_finseq_1(f1_s1_rewrite1)) ) ).
fof(dt_f2_s1_rewrite1, axiom,  (v1_relat_1(f2_s1_rewrite1) &  (v1_funct_1(f2_s1_rewrite1) & v1_finseq_1(f2_s1_rewrite1)) ) ).
fof(dt_m1_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (m1_rewrite1(B, A) =>  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) ) ) ) ).
fof(existence_m1_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (? [B] : m1_rewrite1(B, A)) ) ) ).
fof(dt_f1_s2_rewrite1, axiom, v1_relat_1(f1_s2_rewrite1)).
fof(symmetry_r10_rewrite1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_relat_1(B))  =>  (r10_rewrite1(A, B) => r10_rewrite1(B, A)) ) ) ).
fof(symmetry_r11_rewrite1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_relat_1(B))  =>  (r11_rewrite1(A, B) => r11_rewrite1(B, A)) ) ) ).
fof(symmetry_r12_rewrite1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_relat_1(B))  =>  (r12_rewrite1(A, B) => r12_rewrite1(B, A)) ) ) ).
fof(dt_m2_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (m2_rewrite1(B, A) =>  (v1_relat_1(B) & v10_rewrite1(B)) ) ) ) ) ).
fof(existence_m2_rewrite1, axiom,  (! [A] :  (v1_relat_1(A) =>  (? [B] : m2_rewrite1(B, A)) ) ) ).
fof(cc1_rewrite2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_xboole_0(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_rewrite2(A)) ) ) ) ).
fof(fc1_rewrite2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  => v1_rewrite2(k5_finseq_1(A))) ) ).
fof(fc2_rewrite2, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_rewrite2(A)) )  =>  (v1_relat_1(k1_funct_1(A, B)) &  (v1_funct_1(k1_funct_1(A, B)) & v1_finset_1(k1_funct_1(A, B))) ) ) ) ).
fof(fc3_rewrite2, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_rewrite2(A)) )  => v5_ordinal1(k1_funct_1(A, B))) ) ).
fof(rc1_rewrite2, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) & v1_rewrite2(A)) ) ) ) ) ) ) ).
fof(cc2_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_finseq_1(B, k8_afinsq_1(A)) => v1_rewrite2(B)) ) ) ).
fof(fc4_rewrite2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_rewrite2(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_rewrite2(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v1_finseq_1(k7_finseq_1(A, B)) & v1_rewrite2(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc5_rewrite2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_rewrite2(B)) ) ) )  =>  (v1_relat_1(k1_rewrite2(A, B)) &  (v1_funct_1(k1_rewrite2(A, B)) &  (v1_finseq_1(k1_rewrite2(A, B)) & v1_rewrite2(k1_rewrite2(A, B))) ) ) ) ) ).
fof(fc6_rewrite2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_rewrite2(B)) ) ) )  =>  (v1_relat_1(k2_rewrite2(A, B)) &  (v1_funct_1(k2_rewrite2(A, B)) &  (v1_finseq_1(k2_rewrite2(A, B)) & v1_rewrite2(k2_rewrite2(A, B))) ) ) ) ) ).
fof(fc7_rewrite2, axiom,  (! [A] :  (v1_relat_1(A) => v3_relat_2(k2_xboole_0(A, k2_relat_1(A)))) ) ).
fof(rc2_rewrite2, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) &  (v1_relat_1(B) & v3_relat_2(B)) ) ) ) ).
fof(fc8_rewrite2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) & m1_subset_1(C, k8_afinsq_1(A))) )  =>  ~ (v1_xboole_0(k8_rewrite2(A, B, C))) ) ) ).
fof(t1_rewrite2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r2_tarski(k1_nat_1(A, 1), k4_finseq_1(B)) =>  (r2_tarski(A, k4_finseq_1(B)) | A=k5_numbers) ) ) ) ) ) ).
fof(t2_rewrite2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ~ ( ( ~ (r1_xxreal_0(A, k3_finseq_1(B)))  &  (r1_xxreal_0(A, k3_finseq_1(k7_finseq_1(B, C))) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (A=k2_xcmplx_0(k3_finseq_1(B), D) &  (r1_xxreal_0(1, D) & r1_xxreal_0(D, k3_finseq_1(C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_rewrite2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (m1_rewrite1(C, B) =>  (r1_xxreal_0(1, A) => m1_rewrite1(k16_finseq_1(A, C), B)) ) ) ) ) ) ) ).
fof(t4_rewrite2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_relat_1(B) =>  (! [C] :  (m1_rewrite1(C, B) =>  ~ ( (r2_tarski(A, k4_finseq_1(C)) &  (! [D] :  (m1_rewrite1(D, B) =>  ~ ( (k3_finseq_1(D)=A &  (k1_funct_1(D, 1)=k1_funct_1(C, 1) & k1_funct_1(D, k3_finseq_1(D))=k1_funct_1(C, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_rewrite2, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_rewrite2(A) <=>  (! [B] :  (r2_tarski(B, k9_xtuple_0(A)) =>  (v1_relat_1(k1_funct_1(A, B)) &  (v5_ordinal1(k1_funct_1(A, B)) &  (v1_funct_1(k1_funct_1(A, B)) & v1_finset_1(k1_funct_1(A, B))) ) ) ) ) ) ) ) ).
fof(d2_rewrite2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_rewrite2(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_rewrite2(C)) )  =>  (C=k1_rewrite2(A, B) <=>  (k9_xtuple_0(C)=k9_xtuple_0(B) &  (! [D] :  (r2_tarski(D, k9_xtuple_0(B)) => k1_funct_1(C, D)=k1_ordinal4(A, k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ).
fof(d3_rewrite2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_rewrite2(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_rewrite2(C)) )  =>  (C=k2_rewrite2(A, B) <=>  (k9_xtuple_0(C)=k9_xtuple_0(B) &  (! [D] :  (r2_tarski(D, k9_xtuple_0(B)) => k1_funct_1(C, D)=k1_ordinal4(k1_funct_1(B, D), A)) ) ) ) ) ) ) ) ) ) ).
fof(t5_rewrite2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_rewrite2(B)) ) )  =>  (k3_finseq_1(k1_rewrite2(A, B))=k3_finseq_1(B) & k3_finseq_1(k2_rewrite2(A, B))=k3_finseq_1(B)) ) ) ) ) ).
fof(t6_rewrite2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_rewrite2(B)) ) )  =>  (k1_rewrite2(k2_flang_1(A), B)=B & k2_rewrite2(k2_flang_1(A), B)=B) ) ) ) ).
fof(t7_rewrite2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) & v1_rewrite2(C)) ) )  =>  (k1_rewrite2(A, k1_rewrite2(B, C))=k1_rewrite2(k1_ordinal4(A, B), C) & k2_rewrite2(A, k2_rewrite2(B, C))=k2_rewrite2(k1_ordinal4(B, A), C)) ) ) ) ) ) ) ).
fof(t8_rewrite2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) & v1_rewrite2(C)) ) )  => k1_rewrite2(A, k2_rewrite2(B, C))=k2_rewrite2(B, k1_rewrite2(A, C))) ) ) ) ) ) ).
fof(t9_rewrite2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_rewrite2(B)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v1_finseq_1(C) & v1_rewrite2(C)) ) )  =>  (k1_rewrite2(A, k7_finseq_1(B, C))=k7_finseq_1(k1_rewrite2(A, B), k1_rewrite2(A, C)) & k2_rewrite2(A, k7_finseq_1(B, C))=k7_finseq_1(k2_rewrite2(A, B), k2_rewrite2(A, C))) ) ) ) ) ) ) ).
fof(d4_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (r1_rewrite2(A, B, C, D) <=> r2_tarski(k1_domain_1(k8_afinsq_1(A), k8_afinsq_1(A), C, D), B)) ) ) ) ) ) ) ) ).
fof(d5_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (r2_rewrite2(A, B, C, D) <=>  (? [E] :  (m1_subset_1(E, k8_afinsq_1(A)) &  (? [F] :  (m1_subset_1(F, k8_afinsq_1(A)) &  (? [G] :  (m1_subset_1(G, k8_afinsq_1(A)) &  (? [H] :  (m1_subset_1(H, k8_afinsq_1(A)) &  (C=k1_flang_1(A, k1_flang_1(A, E, G), F) &  (D=k1_flang_1(A, k1_flang_1(A, E, H), F) & r1_rewrite2(A, B, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (r1_rewrite2(A, B, C, D) => r2_rewrite2(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t11_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  ~ ( (r2_rewrite2(A, B, C, C) &  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(A)) =>  (! [F] :  (m1_subset_1(F, k8_afinsq_1(A)) =>  ~ ( (C=k1_flang_1(A, k1_flang_1(A, D, F), E) & r1_rewrite2(A, B, F, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(A)) =>  (r2_rewrite2(A, B, C, D) =>  (r2_rewrite2(A, B, k1_flang_1(A, E, C), k1_flang_1(A, E, D)) & r2_rewrite2(A, B, k1_flang_1(A, C, E), k1_flang_1(A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(A)) =>  (! [F] :  (m1_subset_1(F, k8_afinsq_1(A)) =>  (r2_rewrite2(A, B, C, D) => r2_rewrite2(A, B, k1_flang_1(A, k1_flang_1(A, E, C), F), k1_flang_1(A, k1_flang_1(A, E, D), F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(A)) =>  (r1_rewrite2(A, B, C, D) =>  (r2_rewrite2(A, B, k1_flang_1(A, E, C), k1_flang_1(A, E, D)) & r2_rewrite2(A, B, k1_flang_1(A, C, E), k1_flang_1(A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(A)) =>  (! [F] :  (m1_subset_1(F, k8_afinsq_1(A)) =>  (r1_rewrite2(A, B, C, D) => r2_rewrite2(A, B, k1_flang_1(A, k1_flang_1(A, E, C), F), k1_flang_1(A, k1_flang_1(A, E, D), F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  ( ( (v3_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))))  & r1_rewrite2(A, B, C, D))  => r1_rewrite2(A, B, D, C)) ) ) ) ) ) ) ) ).
fof(t17_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  ( ( (v3_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))))  & r2_rewrite2(A, B, C, D))  => r2_rewrite2(A, B, D, C)) ) ) ) ) ) ) ) ).
fof(t18_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(A)) =>  ( (r1_relset_1(k8_afinsq_1(A), k8_afinsq_1(A), B, C) & r1_rewrite2(A, B, D, E))  => r1_rewrite2(A, C, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(t19_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(A)) =>  ( (r1_relset_1(k8_afinsq_1(A), k8_afinsq_1(A), B, C) & r2_rewrite2(A, B, D, E))  => r2_rewrite2(A, C, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(t20_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k8_afinsq_1(A)) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  ~ (r2_rewrite2(A, k1_partit_2(k8_afinsq_1(A), k8_afinsq_1(A)), B, C)) ) ) ) ) ) ).
fof(t21_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(A)) =>  ~ ( (r2_rewrite2(A, k4_subset_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)), B, C), D, E) &  ( ~ (r2_rewrite2(A, B, D, E))  &  ~ (r2_rewrite2(A, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (C=k7_rewrite2(A, B) <=>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(A)) =>  (r2_tarski(k1_domain_1(k8_afinsq_1(A), k8_afinsq_1(A), D, E), C) <=> r2_rewrite2(A, B, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) => r1_relset_1(k8_afinsq_1(A), k8_afinsq_1(A), B, k7_rewrite2(A, B))) ) ) ).
fof(t23_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (! [D] :  (m2_finseq_1(D, k8_afinsq_1(A)) =>  (m1_rewrite1(D, k7_rewrite2(A, B)) =>  (m1_rewrite1(k5_rewrite2(A, C, D), k7_rewrite2(A, B)) & m1_rewrite1(k4_rewrite2(A, C, D), k7_rewrite2(A, B))) ) ) ) ) ) ) ) ) ).
fof(t24_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (! [E] :  (m2_finseq_1(E, k8_afinsq_1(A)) =>  (m1_rewrite1(E, k7_rewrite2(A, B)) => m1_rewrite1(k5_rewrite2(A, D, k4_rewrite2(A, C, E)), k7_rewrite2(A, B))) ) ) ) ) ) ) ) ) ) ).
fof(t25_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  ( (v3_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))))  => r2_relset_1(k8_afinsq_1(A), k8_afinsq_1(A), k7_rewrite2(A, B), k3_relset_1(k8_afinsq_1(A), k8_afinsq_1(A), k7_rewrite2(A, B)))) ) ) ) ).
fof(t26_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (r1_relset_1(k8_afinsq_1(A), k8_afinsq_1(A), B, C) => r1_relset_1(k8_afinsq_1(A), k8_afinsq_1(A), k7_rewrite2(A, B), k7_rewrite2(A, C))) ) ) ) ) ) ).
fof(t27_rewrite2, axiom,  (! [A] : r2_relset_1(k8_afinsq_1(A), k8_afinsq_1(A), k7_rewrite2(A, k6_rewrite2(k8_afinsq_1(A))), k6_rewrite2(k8_afinsq_1(A)))) ).
fof(t28_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) => r2_relset_1(k8_afinsq_1(A), k8_afinsq_1(A), k7_rewrite2(A, k4_subset_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)), B, k6_rewrite2(k8_afinsq_1(A)))), k4_subset_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)), k7_rewrite2(A, B), k6_rewrite2(k8_afinsq_1(A))))) ) ) ).
fof(t29_rewrite2, axiom,  (! [A] : r2_relset_1(k8_afinsq_1(A), k8_afinsq_1(A), k7_rewrite2(A, k1_partit_2(k8_afinsq_1(A), k8_afinsq_1(A))), k1_partit_2(k8_afinsq_1(A), k8_afinsq_1(A)))) ).
fof(t30_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (r2_rewrite2(A, k7_rewrite2(A, B), C, D) => r2_rewrite2(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t31_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) => r2_relset_1(k8_afinsq_1(A), k8_afinsq_1(A), k7_rewrite2(A, k7_rewrite2(A, B)), k7_rewrite2(A, B))) ) ) ).
fof(d7_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (r3_rewrite2(A, B, C, D) <=> r1_rewrite1(k7_rewrite2(A, B), C, D)) ) ) ) ) ) ) ) ).
fof(t32_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) => r3_rewrite2(A, B, C, C)) ) ) ) ) ).
fof(t33_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (r2_rewrite2(A, B, C, D) => r3_rewrite2(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t34_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (r1_rewrite2(A, B, C, D) => r3_rewrite2(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t35_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(A)) =>  ( (r3_rewrite2(A, B, C, D) & r3_rewrite2(A, B, D, E))  => r3_rewrite2(A, B, C, E)) ) ) ) ) ) ) ) ) ) ).
fof(t36_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(A)) =>  (r3_rewrite2(A, B, C, D) =>  (r3_rewrite2(A, B, k1_flang_1(A, C, E), k1_flang_1(A, D, E)) & r3_rewrite2(A, B, k1_flang_1(A, E, C), k1_flang_1(A, E, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(A)) =>  (! [F] :  (m1_subset_1(F, k8_afinsq_1(A)) =>  (r3_rewrite2(A, B, C, D) => r3_rewrite2(A, B, k1_flang_1(A, k1_flang_1(A, E, C), F), k1_flang_1(A, k1_flang_1(A, E, D), F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(A)) =>  (! [F] :  (m1_subset_1(F, k8_afinsq_1(A)) =>  ( (r3_rewrite2(A, B, C, D) & r3_rewrite2(A, B, E, F))  =>  (r3_rewrite2(A, B, k1_flang_1(A, C, E), k1_flang_1(A, D, F)) & r3_rewrite2(A, B, k1_flang_1(A, E, C), k1_flang_1(A, F, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  ( ( (v3_relat_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))))  & r3_rewrite2(A, B, C, D))  => r3_rewrite2(A, B, D, C)) ) ) ) ) ) ) ) ).
fof(t40_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(A)) =>  ( (r1_relset_1(k8_afinsq_1(A), k8_afinsq_1(A), B, C) & r3_rewrite2(A, B, D, E))  => r3_rewrite2(A, C, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(t41_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (r3_rewrite2(A, B, C, D) <=> r3_rewrite2(A, k4_subset_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)), B, k6_rewrite2(k8_afinsq_1(A))), C, D)) ) ) ) ) ) ) ) ).
fof(t42_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k8_afinsq_1(A)) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (r3_rewrite2(A, k1_partit_2(k8_afinsq_1(A), k8_afinsq_1(A)), B, C) => B=C) ) ) ) ) ) ).
fof(t43_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (r3_rewrite2(A, k7_rewrite2(A, B), C, D) => r3_rewrite2(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(t44_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(A)) =>  (! [F] :  (m1_subset_1(F, k8_afinsq_1(A)) =>  ( (r3_rewrite2(A, B, C, D) & r2_rewrite2(A, k4_lang1(k8_afinsq_1(A), k8_afinsq_1(A), k1_domain_1(k8_afinsq_1(A), k8_afinsq_1(A), C, D)), E, F))  => r3_rewrite2(A, B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(A)) =>  (! [F] :  (m1_subset_1(F, k8_afinsq_1(A)) =>  ( (r3_rewrite2(A, B, C, D) & r3_rewrite2(A, k4_subset_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)), B, k4_lang1(k8_afinsq_1(A), k8_afinsq_1(A), k1_domain_1(k8_afinsq_1(A), k8_afinsq_1(A), C, D))), E, F))  => r3_rewrite2(A, B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (r2_tarski(C, k8_rewrite2(A, B, D)) <=> r3_rewrite2(A, B, D, C)) ) ) ) ) ) ) ) ).
fof(t47_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) => r2_tarski(C, k8_rewrite2(A, B, C))) ) ) ) ) ).
fof(t48_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (r1_relset_1(k8_afinsq_1(A), k8_afinsq_1(A), B, C) => r1_tarski(k8_rewrite2(A, B, D), k8_rewrite2(A, C, D))) ) ) ) ) ) ) ) ).
fof(t49_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) => k8_rewrite2(A, B, C)=k8_rewrite2(A, k4_subset_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)), B, k6_rewrite2(k8_afinsq_1(A))), C)) ) ) ) ) ).
fof(t50_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k8_afinsq_1(A)) => k8_rewrite2(A, k1_partit_2(k8_afinsq_1(A), k8_afinsq_1(A)), B)=k4_flang_1(A, B)) ) ) ).
fof(t51_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k8_afinsq_1(A)) => k8_rewrite2(A, k6_rewrite2(k8_afinsq_1(A)), B)=k4_flang_1(A, B)) ) ) ).
fof(d9_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (r4_rewrite2(A, B, C, D) <=> k8_rewrite2(A, B, D)=k8_rewrite2(A, C, D)) ) ) ) ) ) ) ) ).
fof(t52_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) => r4_rewrite2(A, B, B, C)) ) ) ) ) ).
fof(t53_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (r4_rewrite2(A, B, C, D) => r4_rewrite2(A, C, B, D)) ) ) ) ) ) ) ) ).
fof(t54_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(A)) =>  ( (r4_rewrite2(A, B, C, E) & r4_rewrite2(A, C, D, E))  => r4_rewrite2(A, B, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(t55_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) => r4_rewrite2(A, B, k4_subset_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)), B, k6_rewrite2(k8_afinsq_1(A))), C)) ) ) ) ) ).
fof(t56_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(A)) =>  ( (r4_rewrite2(A, B, C, E) &  (r1_relset_1(k8_afinsq_1(A), k8_afinsq_1(A), B, D) & r1_relset_1(k8_afinsq_1(A), k8_afinsq_1(A), D, C)) )  =>  (r4_rewrite2(A, B, D, E) & r4_rewrite2(A, D, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) => r4_rewrite2(A, B, k7_rewrite2(A, B), C)) ) ) ) ) ).
fof(t58_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(A)) =>  ( (r4_rewrite2(A, B, C, E) & r1_rewrite1(k7_rewrite2(A, k4_subset_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)), B, C)), E, D))  => r1_rewrite1(k7_rewrite2(A, B), E, D)) ) ) ) ) ) ) ) ) ) ).
fof(t59_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(A)) =>  ( (r4_rewrite2(A, B, C, E) & r3_rewrite2(A, k4_subset_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)), B, C), E, D))  => r3_rewrite2(A, B, E, D)) ) ) ) ) ) ) ) ) ) ).
fof(t60_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (r4_rewrite2(A, B, C, D) => r4_rewrite2(A, B, k4_subset_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)), B, C), D)) ) ) ) ) ) ) ) ).
fof(t61_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(A)) =>  (r2_rewrite2(A, B, C, D) => r4_rewrite2(A, B, k4_subset_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)), B, k4_lang1(k8_afinsq_1(A), k8_afinsq_1(A), k1_domain_1(k8_afinsq_1(A), k8_afinsq_1(A), C, D))), E)) ) ) ) ) ) ) ) ) ) ).
fof(t62_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(A)) =>  (r3_rewrite2(A, B, C, D) => r4_rewrite2(A, B, k4_subset_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)), B, k4_lang1(k8_afinsq_1(A), k8_afinsq_1(A), k1_domain_1(k8_afinsq_1(A), k8_afinsq_1(A), C, D))), E)) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_rewrite2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_rewrite2(B)) ) )  =>  (v1_relat_1(k1_rewrite2(A, B)) &  (v1_funct_1(k1_rewrite2(A, B)) & v1_rewrite2(k1_rewrite2(A, B))) ) ) ) ).
fof(dt_k2_rewrite2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_rewrite2(B)) ) )  =>  (v1_relat_1(k2_rewrite2(A, B)) &  (v1_funct_1(k2_rewrite2(A, B)) & v1_rewrite2(k2_rewrite2(A, B))) ) ) ) ).
fof(dt_k3_rewrite2, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, k8_afinsq_1(A)) & v7_ordinal1(C))  => m1_subset_1(k3_rewrite2(A, B, C), k8_afinsq_1(A))) ) ).
fof(redefinition_k3_rewrite2, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, k8_afinsq_1(A)) & v7_ordinal1(C))  => k3_rewrite2(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k4_rewrite2, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k8_afinsq_1(A)) & m1_finseq_1(C, k8_afinsq_1(A)))  => m2_finseq_1(k4_rewrite2(A, B, C), k8_afinsq_1(A))) ) ).
fof(redefinition_k4_rewrite2, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k8_afinsq_1(A)) & m1_finseq_1(C, k8_afinsq_1(A)))  => k4_rewrite2(A, B, C)=k1_rewrite2(B, C)) ) ).
fof(dt_k5_rewrite2, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k8_afinsq_1(A)) & m1_finseq_1(C, k8_afinsq_1(A)))  => m2_finseq_1(k5_rewrite2(A, B, C), k8_afinsq_1(A))) ) ).
fof(redefinition_k5_rewrite2, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k8_afinsq_1(A)) & m1_finseq_1(C, k8_afinsq_1(A)))  => k5_rewrite2(A, B, C)=k2_rewrite2(B, C)) ) ).
fof(dt_k6_rewrite2, axiom,  (! [A] : m1_subset_1(k6_rewrite2(A), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ).
fof(redefinition_k6_rewrite2, axiom,  (! [A] : k6_rewrite2(A)=k4_relat_1(A)) ).
fof(dt_k7_rewrite2, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) => m1_subset_1(k7_rewrite2(A, B), k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A))))) ) ).
fof(dt_k8_rewrite2, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) & m1_subset_1(C, k8_afinsq_1(A)))  => m1_subset_1(k8_rewrite2(A, B, C), k1_zfmisc_1(k8_afinsq_1(A)))) ) ).
fof(d8_rewrite2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A), k8_afinsq_1(A)))) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) => k8_rewrite2(A, B, C)=a_3_0_rewrite2(A, B, C)) ) ) ) ) ).
fof(fraenkel_a_3_0_rewrite2, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(B), k8_afinsq_1(B)))) & m1_subset_1(D, k8_afinsq_1(B)))  =>  (r2_hidden(A, a_3_0_rewrite2(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k8_afinsq_1(B)) &  (A=E & r3_rewrite2(B, C, D, E)) ) ) ) ) ) ).
fof(rc1_rewrite3, axiom,  (! [A] :  (? [B] :  (l1_rewrite3(B, A) & v1_rewrite3(B, A)) ) ) ).
fof(rc2_rewrite3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))))  =>  (? [C] :  (l1_rewrite3(C, B) &  ( ~ (v2_struct_0(C))  &  (v8_struct_0(C) &  (v1_rewrite3(C, B) & v2_rewrite3(C, A, B)) ) ) ) ) ) ) ).
fof(t1_rewrite3, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r2_tarski(B, k4_finseq_1(C)) => k1_funct_1(k7_finseq_1(k9_finseq_1(A), C), k2_xcmplx_0(B, 1))=k1_funct_1(C, B)) ) ) ) ) ) ).
fof(t2_rewrite3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  ~ ( ( ~ (A=k1_xboole_0)  &  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ~ ( (A=k7_finseq_1(B, k9_finseq_1(C)) & k3_finseq_1(A)=k2_xcmplx_0(k3_finseq_1(B), 1)) ) ) ) ) ) ) ) ) ).
fof(t3_rewrite3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r2_tarski(A, k4_finseq_1(B)) =>  (r2_tarski(k2_xcmplx_0(A, 1), k4_finseq_1(B)) | k3_finseq_1(B)=A) ) ) ) ) ) ).
fof(t4_rewrite3, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (m1_rewrite1(B, A) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (B=k7_finseq_1(C, D) =>  (r1_xxreal_0(k3_finseq_1(C), k5_numbers) |  (r1_xxreal_0(k3_finseq_1(D), k5_numbers) |  (m1_rewrite1(C, A) & m1_rewrite1(D, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_rewrite3, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (m1_rewrite1(B, A) =>  ~ ( ( ~ (r1_xxreal_0(k3_finseq_1(B), 1))  &  (! [C] :  (m1_rewrite1(C, A) =>  ~ ( (k7_finseq_1(k9_finseq_1(k1_funct_1(B, 1)), C)=B & k2_xcmplx_0(k3_finseq_1(C), 1)=k3_finseq_1(B)) ) ) ) ) ) ) ) ) ) ).
fof(t6_rewrite3, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (m1_rewrite1(B, A) =>  ~ ( ( ~ (r1_xxreal_0(k3_finseq_1(B), 1))  &  (! [C] :  (m1_rewrite1(C, A) =>  ~ ( (k7_finseq_1(C, k9_finseq_1(k1_funct_1(B, k3_finseq_1(B))))=B & k2_xcmplx_0(k3_finseq_1(C), 1)=k3_finseq_1(B)) ) ) ) ) ) ) ) ) ) ).
fof(t7_rewrite3, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (m1_rewrite1(B, A) =>  ~ ( ( ~ (r1_xxreal_0(k3_finseq_1(B), 1))  &  (! [C] :  (m1_rewrite1(C, A) =>  ~ ( (k2_xcmplx_0(k3_finseq_1(C), 1)=k3_finseq_1(B) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(C)) => k1_funct_1(C, D)=k1_funct_1(B, k2_xcmplx_0(D, 1))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  (m1_rewrite1(k10_finseq_1(A, B), C) => r2_hidden(k4_tarski(A, B), C)) ) ) ) ) ).
fof(t9_rewrite3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k8_afinsq_1(A)) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (D=k1_flang_1(A, B, C) =>  (r1_xxreal_0(k1_afinsq_1(B), k1_afinsq_1(D)) & r1_xxreal_0(k1_afinsq_1(C), k1_afinsq_1(D))) ) ) ) ) ) ) ) ) ) ).
fof(t10_rewrite3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k8_afinsq_1(A)) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (D=k1_flang_1(A, B, C) =>  (B=k2_flang_1(A) |  (C=k2_flang_1(A) |  ( ~ (r1_xxreal_0(k1_afinsq_1(D), k1_afinsq_1(B)))  &  ~ (r1_xxreal_0(k1_afinsq_1(D), k1_afinsq_1(C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_rewrite3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k8_afinsq_1(A)) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(A)) =>  (k1_flang_1(A, D, B)=k1_flang_1(A, E, C) =>  ( ( ~ (k1_afinsq_1(D)=k1_afinsq_1(E))  &  ~ (k1_afinsq_1(B)=k1_afinsq_1(C)) )  |  (D=E & B=C) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_rewrite3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k8_afinsq_1(A)) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(A)) =>  ~ ( (k1_flang_1(A, D, B)=k1_flang_1(A, E, C) &  ( (r1_xxreal_0(k1_afinsq_1(D), k1_afinsq_1(E)) | r1_xxreal_0(k1_afinsq_1(C), k1_afinsq_1(B)))  &  (! [F] :  (m1_subset_1(F, k8_afinsq_1(A)) =>  ~ ( (k1_flang_1(A, D, F)=E & B=k1_flang_1(A, F, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_rewrite3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k8_afinsq_1(A)) =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(A)) =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(A)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(A)) =>  ~ ( (k1_flang_1(A, D, B)=k1_flang_1(A, E, C) &  ( (! [F] :  (m1_subset_1(F, k8_afinsq_1(A)) =>  ~ ( (k1_flang_1(A, D, F)=E & B=k1_flang_1(A, F, C)) ) ) )  &  (! [F] :  (m1_subset_1(F, k8_afinsq_1(A)) =>  ~ ( (k1_flang_1(A, E, F)=D & C=k1_flang_1(A, F, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_rewrite3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (l1_rewrite3(C, B) =>  (v2_rewrite3(C, A, B) <=>  ( (v1_relat_1(u1_rewrite3(B, C)) & v1_funct_1(u1_rewrite3(B, C)))  &  ( ~ (r2_tarski(k2_flang_1(A), k10_xtuple_0(k9_xtuple_0(u1_rewrite3(B, C)))))  &  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(A)) =>  (! [F] :  (m1_subset_1(F, k8_afinsq_1(A)) =>  ( (r2_hidden(k4_tarski(D, E), k9_xtuple_0(u1_rewrite3(B, C))) & r2_hidden(k4_tarski(D, F), k9_xtuple_0(u1_rewrite3(B, C))))  =>  (E=F |  (! [G] :  (m1_subset_1(G, k8_afinsq_1(A)) =>  ( ~ (k1_flang_1(A, E, G)=F)  &  ~ (k1_flang_1(A, F, G)=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_rewrite3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (l1_rewrite3(C, B) =>  (k9_xtuple_0(u1_rewrite3(B, C))=k1_xboole_0 => v2_rewrite3(C, A, B)) ) ) ) ) ) ) ).
fof(d2_rewrite3, axiom,  (! [A] :  (! [B] :  (l1_rewrite3(B, A) =>  (! [C] :  (! [D] :  (! [E] :  (r1_rewrite3(A, B, C, D, E) <=> r2_hidden(k4_tarski(k4_tarski(C, D), E), u1_rewrite3(A, B))) ) ) ) ) ) ) ).
fof(t15_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (l1_rewrite3(E, D) =>  (r1_rewrite3(D, E, A, B, C) =>  (r1_struct_0(E, A) &  (r2_hidden(B, D) &  (r1_struct_0(E, C) &  (r2_hidden(A, k9_xtuple_0(k9_xtuple_0(u1_rewrite3(D, E)))) &  (r2_hidden(B, k10_xtuple_0(k9_xtuple_0(u1_rewrite3(D, E)))) & r2_hidden(C, k10_xtuple_0(u1_rewrite3(D, E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (l1_rewrite3(F, D) =>  (! [G] :  (l1_rewrite3(G, E) =>  ( (u1_rewrite3(D, F)=u1_rewrite3(E, G) & r1_rewrite3(D, F, A, B, C))  => r1_rewrite3(E, G, A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t17_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k8_afinsq_1(E))) =>  (! [G] :  (l1_rewrite3(G, F) =>  ( ( (v1_relat_1(u1_rewrite3(F, G)) & v1_funct_1(u1_rewrite3(F, G)))  &  (r1_rewrite3(F, G, A, B, C) & r1_rewrite3(F, G, A, B, D)) )  => C=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [E] :  (l1_rewrite3(E, D) =>  ~ ( ( ~ (r2_tarski(k2_flang_1(C), k10_xtuple_0(k9_xtuple_0(u1_rewrite3(D, E)))))  & r1_rewrite3(D, E, A, k2_flang_1(C), B)) ) ) ) ) ) ) ) ) ) ).
fof(t19_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(D)) =>  (! [F] :  (m1_subset_1(F, k8_afinsq_1(D)) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(k8_afinsq_1(D))) =>  (! [H] :  ( (v2_rewrite3(H, D, G) & l1_rewrite3(H, G))  =>  ( (r1_rewrite3(G, H, A, E, B) & r1_rewrite3(G, H, A, F, C))  =>  (E=F |  (! [I] :  (m1_subset_1(I, k8_afinsq_1(D)) =>  ( ~ (k1_flang_1(D, E, I)=F)  &  ~ (k1_flang_1(D, F, I)=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_rewrite3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (l1_rewrite3(C, B) =>  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (r2_rewrite3(A, B, C, D, E, F, G) <=>  (? [H] :  (m1_subset_1(H, k8_afinsq_1(A)) &  (? [I] :  (m1_subset_1(I, k8_afinsq_1(A)) &  (H=G &  (r1_rewrite3(B, C, D, I, F) & E=k1_flang_1(A, I, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k8_afinsq_1(E))) =>  (! [G] :  (l1_rewrite3(G, F) =>  (r2_rewrite3(E, F, G, A, B, C, D) =>  (r1_struct_0(G, A) &  (r1_struct_0(G, C) &  (r2_hidden(B, k8_afinsq_1(E)) &  (r2_hidden(D, k8_afinsq_1(E)) &  (r2_hidden(A, k9_xtuple_0(k9_xtuple_0(u1_rewrite3(F, G)))) & r2_hidden(C, k10_xtuple_0(u1_rewrite3(F, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k8_afinsq_1(E))) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(k8_afinsq_1(E))) =>  (! [H] :  (l1_rewrite3(H, F) =>  (! [I] :  (l1_rewrite3(I, G) =>  ( (u1_rewrite3(F, H)=u1_rewrite3(G, I) & r2_rewrite3(E, F, H, A, B, C, D))  => r2_rewrite3(E, G, I, A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(C)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(C)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [G] :  (l1_rewrite3(G, F) =>  ~ ( (r2_rewrite3(C, F, G, A, D, B, E) &  (! [H] :  (m1_subset_1(H, k8_afinsq_1(C)) =>  ~ ( (r1_rewrite3(F, G, A, H, B) & D=k1_flang_1(C, H, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k8_afinsq_1(D))) =>  (! [F] :  (l1_rewrite3(F, E) =>  (r1_rewrite3(E, F, A, B, C) <=> r2_rewrite3(D, E, F, A, B, C, k2_flang_1(D))) ) ) ) ) ) ) ) ) ) ).
fof(t24_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(C)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(C)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [G] :  (l1_rewrite3(G, F) =>  (r1_rewrite3(F, G, A, D, B) <=> r2_rewrite3(C, F, G, A, k1_flang_1(C, D, E), B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(C)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(C)) =>  (! [F] :  (m1_subset_1(F, k8_afinsq_1(C)) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [H] :  (l1_rewrite3(H, G) =>  (r2_rewrite3(C, G, H, A, D, B, E) => r2_rewrite3(C, G, H, A, k1_flang_1(C, D, F), B, k1_flang_1(C, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(C)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(C)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [G] :  (l1_rewrite3(G, F) =>  (r2_rewrite3(C, F, G, A, D, B, E) => r1_xxreal_0(k1_afinsq_1(E), k1_afinsq_1(D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( ~ (v1_xboole_0(F))  =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(k8_afinsq_1(F))) =>  (! [H] :  (l1_rewrite3(H, G) =>  ( ( (v1_relat_1(u1_rewrite3(G, H)) & v1_funct_1(u1_rewrite3(G, H)))  &  (r2_rewrite3(F, G, H, A, B, C, E) & r2_rewrite3(F, G, H, A, B, D, E)) )  => C=D) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k8_afinsq_1(D))) =>  (! [F] :  (l1_rewrite3(F, E) =>  ~ ( ( ~ (r2_tarski(k2_flang_1(D), k10_xtuple_0(k9_xtuple_0(u1_rewrite3(E, F)))))  & r2_rewrite3(D, E, F, A, C, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(C)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(C)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [G] :  (l1_rewrite3(G, F) =>  ~ ( ( ~ (r2_tarski(k2_flang_1(C), k10_xtuple_0(k9_xtuple_0(u1_rewrite3(F, G)))))  &  (r2_rewrite3(C, F, G, A, D, B, E) & r1_xxreal_0(k1_afinsq_1(D), k1_afinsq_1(E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  ( ~ (v1_xboole_0(G))  =>  (! [H] :  (m1_subset_1(H, k1_zfmisc_1(k8_afinsq_1(G))) =>  (! [I] :  ( (v2_rewrite3(I, G, H) & l1_rewrite3(I, H))  =>  ( (r2_rewrite3(G, H, I, A, B, C, E) & r2_rewrite3(G, H, I, A, B, D, F))  =>  (C=D & E=F) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_rewrite3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_rewrite3(C, B))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), k8_afinsq_1(A)), k2_zfmisc_1(u1_struct_0(C), k8_afinsq_1(A))))) =>  (D=k1_rewrite3(A, B, C) <=>  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (r2_hidden(k4_tarski(k4_tarski(E, F), k4_tarski(G, H)), D) <=> r2_rewrite3(A, B, C, E, F, G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  & l1_rewrite3(E, D))  =>  ~ ( (r2_hidden(k4_tarski(A, B), k1_rewrite3(C, D, E)) &  (! [F] :  (m1_subset_1(F, u1_struct_0(E)) =>  (! [G] :  (m1_subset_1(G, k8_afinsq_1(C)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(E)) =>  (! [I] :  (m1_subset_1(I, k8_afinsq_1(C)) =>  ~ ( (A=k4_tarski(F, G) & B=k4_tarski(H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k8_afinsq_1(E))) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_rewrite3(G, F))  =>  (r2_hidden(k4_tarski(k4_tarski(A, B), k4_tarski(C, D)), k1_rewrite3(E, F, G)) =>  (r1_struct_0(G, A) &  (r1_struct_0(G, C) &  (r2_hidden(B, k8_afinsq_1(E)) &  (r2_hidden(D, k8_afinsq_1(E)) &  (r2_hidden(A, k9_xtuple_0(k9_xtuple_0(u1_rewrite3(F, G)))) & r2_hidden(C, k10_xtuple_0(u1_rewrite3(F, G)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_rewrite3, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(B))) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l1_rewrite3(D, C))  =>  ~ ( (r2_hidden(A, k1_rewrite3(B, C, D)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(D)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(D)) =>  (! [G] :  (m1_subset_1(G, k8_afinsq_1(B)) =>  (! [H] :  (m1_subset_1(H, k8_afinsq_1(B)) =>  ~ (A=k4_tarski(k4_tarski(E, G), k4_tarski(F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_rewrite3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l1_rewrite3(D, B))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  & l1_rewrite3(E, C))  =>  (u1_rewrite3(B, D)=u1_rewrite3(C, E) => k1_rewrite3(A, B, D)=k1_rewrite3(A, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k8_afinsq_1(E))) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_rewrite3(G, F))  =>  ~ ( (r2_hidden(k4_tarski(k4_tarski(A, B), k4_tarski(C, D)), k1_rewrite3(E, F, G)) &  (! [H] :  (m1_subset_1(H, k8_afinsq_1(E)) =>  (! [I] :  (m1_subset_1(I, k8_afinsq_1(E)) =>  ~ ( (H=D &  (r1_rewrite3(F, G, A, I, C) & B=k1_flang_1(E, I, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(C)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(C)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_rewrite3(G, F))  =>  ~ ( (r2_hidden(k4_tarski(k4_tarski(A, D), k4_tarski(B, E)), k1_rewrite3(C, F, G)) &  (! [H] :  (m1_subset_1(H, k8_afinsq_1(C)) =>  ~ ( (r1_rewrite3(F, G, A, H, B) & D=k1_flang_1(C, H, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k8_afinsq_1(D))) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  & l1_rewrite3(F, E))  =>  (r1_rewrite3(E, F, A, B, C) <=> r2_hidden(k4_tarski(k4_tarski(A, B), k4_tarski(C, k2_flang_1(D))), k1_rewrite3(D, E, F))) ) ) ) ) ) ) ) ) ) ).
fof(t38_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(C)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(C)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_rewrite3(G, F))  =>  (r1_rewrite3(F, G, A, D, B) <=> r2_hidden(k4_tarski(k4_tarski(A, k1_flang_1(C, D, E)), k4_tarski(B, E)), k1_rewrite3(C, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(C)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(C)) =>  (! [F] :  (m1_subset_1(F, k8_afinsq_1(C)) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [H] :  ( ( ~ (v2_struct_0(H))  & l1_rewrite3(H, G))  =>  (r2_hidden(k4_tarski(k4_tarski(A, D), k4_tarski(B, E)), k1_rewrite3(C, G, H)) => r2_hidden(k4_tarski(k4_tarski(A, k1_flang_1(C, D, F)), k4_tarski(B, k1_flang_1(C, E, F))), k1_rewrite3(C, G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(C)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(C)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_rewrite3(G, F))  =>  (r2_hidden(k4_tarski(k4_tarski(A, D), k4_tarski(B, E)), k1_rewrite3(C, F, G)) => r1_xxreal_0(k1_afinsq_1(E), k1_afinsq_1(D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k8_afinsq_1(E))) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_rewrite3(G, F))  =>  ( ( (v1_relat_1(u1_rewrite3(F, G)) & v1_funct_1(u1_rewrite3(F, G)))  &  (r2_hidden(k4_tarski(A, k4_tarski(B, D)), k1_rewrite3(E, F, G)) & r2_hidden(k4_tarski(A, k4_tarski(C, D)), k1_rewrite3(E, F, G))) )  => B=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(C)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(C)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_rewrite3(G, F))  =>  ~ ( ( ~ (r2_tarski(k2_flang_1(C), k10_xtuple_0(k9_xtuple_0(u1_rewrite3(F, G)))))  &  (r2_hidden(k4_tarski(k4_tarski(A, D), k4_tarski(B, E)), k1_rewrite3(C, F, G)) & r1_xxreal_0(k1_afinsq_1(D), k1_afinsq_1(E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k8_afinsq_1(D))) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  & l1_rewrite3(F, E))  =>  ~ ( ( ~ (r2_tarski(k2_flang_1(D), k10_xtuple_0(k9_xtuple_0(u1_rewrite3(E, F)))))  & r2_hidden(k4_tarski(k4_tarski(A, C), k4_tarski(B, C)), k1_rewrite3(D, E, F))) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k8_afinsq_1(D))) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  & l1_rewrite3(F, E))  =>  ( (v2_rewrite3(F, D, E) &  (r2_hidden(k4_tarski(A, B), k1_rewrite3(D, E, F)) & r2_hidden(k4_tarski(A, C), k1_rewrite3(D, E, F))) )  => B=C) ) ) ) ) ) ) ) ) ) ).
fof(t45_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( ~ (v1_xboole_0(F))  =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(k8_afinsq_1(F))) =>  (! [H] :  ( ( ~ (v2_struct_0(H))  & l1_rewrite3(H, G))  =>  ( (v2_rewrite3(H, F, G) &  (r2_hidden(k4_tarski(A, k4_tarski(B, D)), k1_rewrite3(F, G, H)) & r2_hidden(k4_tarski(A, k4_tarski(C, E)), k1_rewrite3(F, G, H))) )  =>  (B=C & D=E) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_rewrite3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_rewrite3(C, B))  =>  (v2_rewrite3(C, A, B) => v1_funct_1(k1_rewrite3(A, B, C))) ) ) ) ) ) ) ).
fof(d5_rewrite3, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  ( ( (? [C] :  (? [D] :  (m1_subset_1(D, k8_afinsq_1(B)) & A=k4_tarski(C, D)) ) )  => k2_rewrite3(A, B)=k2_xtuple_0(A))  &  ( (! [C] :  (! [D] :  (m1_subset_1(D, k8_afinsq_1(B)) =>  ~ (A=k4_tarski(C, D)) ) ) )  => k2_rewrite3(A, B)=k1_xboole_0) ) ) ) ) ).
fof(t47_rewrite3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_rewrite3(C, B))  =>  (! [D] :  (m1_rewrite1(D, k1_rewrite3(A, B, C)) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_tarski(E, k4_finseq_1(D)) &  (r2_tarski(k2_xcmplx_0(E, 1), k4_finseq_1(D)) &  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  (! [G] :  (m1_subset_1(G, k8_afinsq_1(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(C)) =>  (! [I] :  (m1_subset_1(I, k8_afinsq_1(A)) =>  ~ ( (k1_funct_1(D, E)=k4_tarski(F, G) & k1_funct_1(D, k2_xcmplx_0(E, 1))=k4_tarski(H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_rewrite3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_rewrite3(C, B))  =>  (! [D] :  (m1_rewrite1(D, k1_rewrite3(A, B, C)) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(E, k4_finseq_1(D)) & r2_tarski(k2_xcmplx_0(E, 1), k4_finseq_1(D)))  =>  (k1_funct_1(D, E)=k4_tarski(k1_xtuple_0(k1_funct_1(D, E)), k2_xtuple_0(k1_funct_1(D, E))) & k1_funct_1(D, k2_xcmplx_0(E, 1))=k4_tarski(k1_xtuple_0(k1_funct_1(D, k2_xcmplx_0(E, 1))), k2_xtuple_0(k1_funct_1(D, k2_xcmplx_0(E, 1))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_rewrite3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_rewrite3(C, B))  =>  (! [D] :  (m1_rewrite1(D, k1_rewrite3(A, B, C)) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_tarski(E, k4_finseq_1(D)) & r2_tarski(k2_xcmplx_0(E, 1), k4_finseq_1(D)))  =>  (r1_struct_0(C, k1_xtuple_0(k1_funct_1(D, E))) &  (r2_hidden(k2_xtuple_0(k1_funct_1(D, E)), k8_afinsq_1(A)) &  (r1_struct_0(C, k1_xtuple_0(k1_funct_1(D, k2_xcmplx_0(E, 1)))) &  (r2_hidden(k2_xtuple_0(k1_funct_1(D, k2_xcmplx_0(E, 1))), k8_afinsq_1(A)) &  (r2_hidden(k1_xtuple_0(k1_funct_1(D, E)), k9_xtuple_0(k9_xtuple_0(u1_rewrite3(B, C)))) & r2_hidden(k1_xtuple_0(k1_funct_1(D, k2_xcmplx_0(E, 1))), k10_xtuple_0(u1_rewrite3(B, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_rewrite3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l1_rewrite3(D, B))  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  & l1_rewrite3(E, C))  =>  ( (u1_struct_0(D)=u1_struct_0(E) & u1_rewrite3(B, D)=u1_rewrite3(C, E))  =>  (! [F] :  (m1_rewrite1(F, k1_rewrite3(A, B, D)) => m1_rewrite1(F, k1_rewrite3(A, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_rewrite3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_rewrite3(C, B))  =>  (! [D] :  (m1_rewrite1(D, k1_rewrite3(A, B, C)) =>  ( (? [E] :  (? [F] :  (m1_subset_1(F, k8_afinsq_1(A)) & k1_funct_1(D, 1)=k4_tarski(E, F)) ) )  =>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) => k2_rewrite3(k1_funct_1(D, E), A)=k2_xtuple_0(k1_funct_1(D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_rewrite3, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k8_afinsq_1(B)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k8_afinsq_1(B))) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  & l1_rewrite3(E, D))  =>  (! [F] :  (m1_rewrite1(F, k1_rewrite3(B, D, E)) =>  (k1_funct_1(F, k3_finseq_1(F))=k4_tarski(A, C) =>  (! [G] :  (v7_ordinal1(G) =>  ~ ( (r2_tarski(G, k4_finseq_1(F)) &  (! [H] :  (m1_subset_1(H, k8_afinsq_1(B)) =>  ~ (k2_xtuple_0(k1_funct_1(F, G))=k1_flang_1(B, H, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(C)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(C)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_rewrite3(G, F))  =>  (! [H] :  (m1_rewrite1(H, k1_rewrite3(C, F, G)) =>  ~ ( (k1_funct_1(H, 1)=k4_tarski(A, D) &  (k1_funct_1(H, k3_finseq_1(H))=k4_tarski(B, E) &  (! [I] :  (m1_subset_1(I, k8_afinsq_1(C)) =>  ~ (D=k1_flang_1(C, I, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(C)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  & l1_rewrite3(F, E))  =>  (! [G] :  (m1_rewrite1(G, k1_rewrite3(C, E, F)) =>  ( (k1_funct_1(G, 1)=k4_tarski(A, D) & k1_funct_1(G, k3_finseq_1(G))=k4_tarski(B, D))  =>  (! [H] :  (v7_ordinal1(H) =>  (r2_tarski(H, k4_finseq_1(G)) => k2_xtuple_0(k1_funct_1(G, H))=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_rewrite3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_rewrite3(C, B))  =>  (! [D] :  (m1_rewrite1(D, k1_rewrite3(A, B, C)) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_tarski(E, k4_finseq_1(D)) &  (r2_tarski(k2_xcmplx_0(E, 1), k4_finseq_1(D)) &  (! [F] :  (m1_subset_1(F, k8_afinsq_1(A)) =>  (! [G] :  (m1_subset_1(G, k8_afinsq_1(A)) =>  ~ ( (F=k2_xtuple_0(k1_funct_1(D, k2_xcmplx_0(E, 1))) &  (r1_rewrite3(B, C, k1_xtuple_0(k1_funct_1(D, E)), G, k1_xtuple_0(k1_funct_1(D, k2_xcmplx_0(E, 1)))) & k2_xtuple_0(k1_funct_1(D, E))=k1_flang_1(A, G, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(C)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(C)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_rewrite3(G, F))  =>  (! [H] :  (m1_rewrite1(H, k1_rewrite3(C, F, G)) =>  (! [I] :  (v7_ordinal1(I) =>  ~ ( (r2_tarski(I, k4_finseq_1(H)) &  (r2_tarski(k2_xcmplx_0(I, 1), k4_finseq_1(H)) &  (k1_funct_1(H, I)=k4_tarski(A, D) &  (k1_funct_1(H, k2_xcmplx_0(I, 1))=k4_tarski(B, E) &  (! [J] :  (m1_subset_1(J, k8_afinsq_1(C)) =>  ~ ( (r1_rewrite3(F, G, A, J, B) & D=k1_flang_1(C, J, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k8_afinsq_1(D))) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  & l1_rewrite3(F, E))  =>  (r1_rewrite3(E, F, A, B, C) <=> m1_rewrite1(k10_finseq_1(k4_tarski(A, B), k4_tarski(C, k2_flang_1(D))), k1_rewrite3(D, E, F))) ) ) ) ) ) ) ) ) ) ).
fof(t58_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(C)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(C)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_rewrite3(G, F))  =>  (r1_rewrite3(F, G, A, D, B) <=> m1_rewrite1(k10_finseq_1(k4_tarski(A, k1_flang_1(C, D, E)), k4_tarski(B, E)), k1_rewrite3(C, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(C)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(C)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_rewrite3(G, F))  =>  (! [H] :  (m1_rewrite1(H, k1_rewrite3(C, F, G)) =>  ( (k1_funct_1(H, 1)=k4_tarski(A, D) & k1_funct_1(H, k3_finseq_1(H))=k4_tarski(B, E))  => r1_xxreal_0(k1_afinsq_1(E), k1_afinsq_1(D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(C)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  & l1_rewrite3(F, E))  =>  ( ~ (r2_tarski(k2_flang_1(C), k10_xtuple_0(k9_xtuple_0(u1_rewrite3(E, F)))))  =>  (! [G] :  (m1_rewrite1(G, k1_rewrite3(C, E, F)) =>  ( (k1_funct_1(G, 1)=k4_tarski(A, D) & k1_funct_1(G, k3_finseq_1(G))=k4_tarski(B, D))  =>  (k3_finseq_1(G)=1 & A=B) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_rewrite3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_rewrite3(C, B))  =>  ( ~ (r2_tarski(k2_flang_1(A), k10_xtuple_0(k9_xtuple_0(u1_rewrite3(B, C)))))  =>  (! [D] :  (m1_rewrite1(D, k1_rewrite3(A, B, C)) =>  (k2_xtuple_0(k1_funct_1(D, 1))=k2_xtuple_0(k1_funct_1(D, k3_finseq_1(D))) => k3_finseq_1(D)=1) ) ) ) ) ) ) ) ) ) ).
fof(t62_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(C)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  & l1_rewrite3(F, E))  =>  ( ~ (r2_tarski(k2_flang_1(C), k10_xtuple_0(k9_xtuple_0(u1_rewrite3(E, F)))))  =>  (! [G] :  (m1_rewrite1(G, k1_rewrite3(C, E, F)) =>  ( (k1_funct_1(G, 1)=k4_tarski(A, D) & k1_funct_1(G, k3_finseq_1(G))=k4_tarski(B, k2_flang_1(C)))  => r1_xxreal_0(k3_finseq_1(G), k2_xcmplx_0(k1_afinsq_1(D), 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, C) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  & l1_rewrite3(F, E))  =>  ( ~ (r2_tarski(k2_flang_1(C), k10_xtuple_0(k9_xtuple_0(u1_rewrite3(E, F)))))  =>  (! [G] :  (m1_rewrite1(G, k1_rewrite3(C, E, F)) =>  ( (k1_funct_1(G, 1)=k4_tarski(A, k3_flang_1(C, D)) & k1_funct_1(G, k3_finseq_1(G))=k4_tarski(B, k2_flang_1(C)))  => k3_finseq_1(G)=2) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(C)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(C)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_rewrite3(G, F))  =>  ( ~ (r2_tarski(k2_flang_1(C), k10_xtuple_0(k9_xtuple_0(u1_rewrite3(F, G)))))  =>  (! [H] :  (m1_rewrite1(H, k1_rewrite3(C, F, G)) =>  ~ ( (k1_funct_1(H, 1)=k4_tarski(A, D) &  (k1_funct_1(H, k3_finseq_1(H))=k4_tarski(B, E) &  (r1_xxreal_0(k1_afinsq_1(D), k1_afinsq_1(E)) &  ~ ( (k3_finseq_1(H)=1 &  (A=B & D=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_rewrite3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_rewrite3(C, B))  =>  ( ~ (r2_tarski(k2_flang_1(A), k10_xtuple_0(k9_xtuple_0(u1_rewrite3(B, C)))))  =>  (! [D] :  (m1_rewrite1(D, k1_rewrite3(A, B, C)) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_tarski(E, k4_finseq_1(D)) &  (r2_tarski(k2_xcmplx_0(E, 1), k4_finseq_1(D)) & k2_xtuple_0(k1_funct_1(D, E))=k2_xtuple_0(k1_funct_1(D, k2_xcmplx_0(E, 1)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_rewrite3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_rewrite3(C, B))  =>  ( ~ (r2_tarski(k2_flang_1(A), k10_xtuple_0(k9_xtuple_0(u1_rewrite3(B, C)))))  =>  (! [D] :  (m1_rewrite1(D, k1_rewrite3(A, B, C)) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r2_tarski(E, k4_finseq_1(D)) &  (r2_tarski(F, k4_finseq_1(D)) &  ( ~ (r1_xxreal_0(F, E))  & k2_xtuple_0(k1_funct_1(D, E))=k2_xtuple_0(k1_funct_1(D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_rewrite3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_rewrite3(C, B))  =>  (v2_rewrite3(C, A, B) =>  (! [D] :  (m1_rewrite1(D, k1_rewrite3(A, B, C)) =>  (! [E] :  (m1_rewrite1(E, k1_rewrite3(A, B, C)) =>  (k1_funct_1(D, 1)=k1_funct_1(E, 1) =>  (! [F] :  (v7_ordinal1(F) =>  ( (r2_tarski(F, k4_finseq_1(D)) & r2_tarski(F, k4_finseq_1(E)))  => k1_funct_1(D, F)=k1_funct_1(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_rewrite3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_rewrite3(C, B))  =>  (v2_rewrite3(C, A, B) =>  (! [D] :  (m1_rewrite1(D, k1_rewrite3(A, B, C)) =>  (! [E] :  (m1_rewrite1(E, k1_rewrite3(A, B, C)) =>  ( (k1_funct_1(D, 1)=k1_funct_1(E, 1) & k3_finseq_1(D)=k3_finseq_1(E))  => D=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t69_rewrite3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_rewrite3(C, B))  =>  (v2_rewrite3(C, A, B) =>  (! [D] :  (m1_rewrite1(D, k1_rewrite3(A, B, C)) =>  (! [E] :  (m1_rewrite1(E, k1_rewrite3(A, B, C)) =>  ( (k1_funct_1(D, 1)=k1_funct_1(E, 1) & k2_xtuple_0(k1_funct_1(D, k3_finseq_1(D)))=k2_xtuple_0(k1_funct_1(E, k3_finseq_1(E))))  => D=E) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(C)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(C)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_rewrite3(G, F))  =>  ~ ( (r1_rewrite1(k1_rewrite3(C, F, G), k4_tarski(A, D), k4_tarski(B, E)) &  (! [H] :  (m1_subset_1(H, k8_afinsq_1(C)) =>  ~ (D=k1_flang_1(C, H, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(C)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(C)) =>  (! [F] :  (m1_subset_1(F, k8_afinsq_1(C)) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [H] :  ( ( ~ (v2_struct_0(H))  & l1_rewrite3(H, G))  =>  (r1_rewrite1(k1_rewrite3(C, G, H), k4_tarski(A, D), k4_tarski(B, E)) => r1_rewrite1(k1_rewrite3(C, G, H), k4_tarski(A, k1_flang_1(C, D, F)), k4_tarski(B, k1_flang_1(C, E, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t72_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k8_afinsq_1(D))) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  & l1_rewrite3(F, E))  =>  (r1_rewrite3(E, F, A, B, C) => r1_rewrite1(k1_rewrite3(D, E, F), k4_tarski(A, B), k4_tarski(C, k2_flang_1(D)))) ) ) ) ) ) ) ) ) ) ).
fof(t73_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(C)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(C)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_rewrite3(G, F))  =>  (r1_rewrite3(F, G, A, D, B) => r1_rewrite1(k1_rewrite3(C, F, G), k4_tarski(A, k1_flang_1(C, D, E)), k4_tarski(B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t74_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k8_afinsq_1(E))) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_rewrite3(G, F))  =>  (r2_rewrite3(E, F, G, A, B, C, D) => r1_rewrite1(k1_rewrite3(E, F, G), k4_tarski(A, B), k4_tarski(C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(C)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(C)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_rewrite3(G, F))  =>  (r1_rewrite1(k1_rewrite3(C, F, G), k4_tarski(A, D), k4_tarski(B, E)) => r1_xxreal_0(k1_afinsq_1(E), k1_afinsq_1(D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t76_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(C)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(C)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_rewrite3(G, F))  =>  (r1_rewrite1(k1_rewrite3(C, F, G), k4_tarski(A, E), k4_tarski(B, k1_flang_1(C, D, E))) => D=k2_flang_1(C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t77_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(C)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(C)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_rewrite3(G, F))  =>  ~ ( ( ~ (r2_tarski(k2_flang_1(C), k10_xtuple_0(k9_xtuple_0(u1_rewrite3(F, G)))))  &  (r1_rewrite1(k1_rewrite3(C, F, G), k4_tarski(A, D), k4_tarski(B, E)) &  (r1_xxreal_0(k1_afinsq_1(D), k1_afinsq_1(E)) &  ~ ( (A=B & D=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t78_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(C)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  & l1_rewrite3(F, E))  =>  (r1_rewrite1(k1_rewrite3(C, E, F), k4_tarski(A, D), k4_tarski(B, D)) =>  (r2_tarski(k2_flang_1(C), k10_xtuple_0(k9_xtuple_0(u1_rewrite3(E, F)))) | A=B) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t79_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, C) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  & l1_rewrite3(F, E))  =>  (r1_rewrite1(k1_rewrite3(C, E, F), k4_tarski(A, k3_flang_1(C, D)), k4_tarski(B, k2_flang_1(C))) =>  (r2_tarski(k2_flang_1(C), k10_xtuple_0(k9_xtuple_0(u1_rewrite3(E, F)))) | r2_hidden(k4_tarski(k4_tarski(A, k3_flang_1(C, D)), k4_tarski(B, k2_flang_1(C))), k1_rewrite3(C, E, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t80_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k8_afinsq_1(E))) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_rewrite3(G, F))  =>  ( (v2_rewrite3(G, E, F) &  (r1_rewrite1(k1_rewrite3(E, F, G), A, k4_tarski(B, D)) & r1_rewrite1(k1_rewrite3(E, F, G), A, k4_tarski(C, D))) )  => B=C) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_rewrite3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_rewrite3(C, B))  =>  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (r3_rewrite3(A, B, C, D, E, F, G) <=> r1_rewrite1(k1_rewrite3(A, B, C), k4_tarski(D, E), k4_tarski(F, G))) ) ) ) ) ) ) ) ) ) ) ).
fof(t81_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k8_afinsq_1(E))) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(k8_afinsq_1(E))) =>  (! [H] :  ( ( ~ (v2_struct_0(H))  & l1_rewrite3(H, F))  =>  (! [I] :  ( ( ~ (v2_struct_0(I))  & l1_rewrite3(I, G))  =>  ( (u1_struct_0(H)=u1_struct_0(I) &  (u1_rewrite3(F, H)=u1_rewrite3(G, I) & r3_rewrite3(E, F, H, A, B, C, D)) )  => r3_rewrite3(E, G, I, A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t82_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  & l1_rewrite3(E, D))  => r3_rewrite3(C, D, E, A, B, A, B)) ) ) ) ) ) ) ) ).
fof(t83_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  ( ~ (v1_xboole_0(G))  =>  (! [H] :  (m1_subset_1(H, k1_zfmisc_1(k8_afinsq_1(G))) =>  (! [I] :  ( ( ~ (v2_struct_0(I))  & l1_rewrite3(I, H))  =>  ( (r3_rewrite3(G, H, I, A, B, C, D) & r3_rewrite3(G, H, I, C, D, E, F))  => r3_rewrite3(G, H, I, A, B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t84_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k8_afinsq_1(D))) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  & l1_rewrite3(F, E))  =>  (r1_rewrite3(E, F, A, B, C) => r3_rewrite3(D, E, F, A, B, C, k2_flang_1(D))) ) ) ) ) ) ) ) ) ) ).
fof(t85_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(C)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(C)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_rewrite3(G, F))  =>  (r1_rewrite3(F, G, A, D, B) => r3_rewrite3(C, F, G, A, k1_flang_1(C, D, E), B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t86_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(C)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(C)) =>  (! [F] :  (m1_subset_1(F, k8_afinsq_1(C)) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [H] :  ( ( ~ (v2_struct_0(H))  & l1_rewrite3(H, G))  =>  (r3_rewrite3(C, G, H, A, D, B, E) => r3_rewrite3(C, G, H, A, k1_flang_1(C, D, F), B, k1_flang_1(C, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t87_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k8_afinsq_1(E))) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_rewrite3(G, F))  =>  (r2_rewrite3(E, F, G, A, B, C, D) => r3_rewrite3(E, F, G, A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t88_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(C)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(C)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_rewrite3(G, F))  =>  ~ ( (r3_rewrite3(C, F, G, A, D, B, E) &  (! [H] :  (m1_subset_1(H, k8_afinsq_1(C)) =>  ~ (D=k1_flang_1(C, H, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t89_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(C)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(C)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_rewrite3(G, F))  =>  (r3_rewrite3(C, F, G, A, D, B, E) => r1_xxreal_0(k1_afinsq_1(E), k1_afinsq_1(D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t90_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(C)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(C)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_rewrite3(G, F))  =>  (r3_rewrite3(C, F, G, A, E, B, k1_flang_1(C, D, E)) => D=k2_flang_1(C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t91_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(C)) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  & l1_rewrite3(F, E))  =>  ( ~ (r2_tarski(k2_flang_1(C), k10_xtuple_0(k9_xtuple_0(u1_rewrite3(E, F)))))  =>  (r3_rewrite3(C, E, F, A, D, B, D) <=> A=B) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t92_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, C) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  & l1_rewrite3(F, E))  =>  (r3_rewrite3(C, E, F, A, k3_flang_1(C, D), B, k2_flang_1(C)) =>  (r2_tarski(k2_flang_1(C), k10_xtuple_0(k9_xtuple_0(u1_rewrite3(E, F)))) | r2_rewrite3(C, E, F, A, k3_flang_1(C, D), B, k2_flang_1(C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t93_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  ( ~ (v1_xboole_0(F))  =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(k8_afinsq_1(F))) =>  (! [H] :  ( ( ~ (v2_struct_0(H))  & l1_rewrite3(H, G))  =>  ( (v2_rewrite3(H, F, G) &  (r3_rewrite3(F, G, H, A, B, C, E) & r3_rewrite3(F, G, H, A, B, D, E)) )  => C=D) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_rewrite3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_rewrite3(C, B))  =>  (! [D] :  (! [E] :  (! [F] :  (r4_rewrite3(A, B, C, D, E, F) <=> r3_rewrite3(A, B, C, D, E, F, k2_flang_1(A))) ) ) ) ) ) ) ) ) ) ).
fof(t94_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k8_afinsq_1(D))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k8_afinsq_1(D))) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_rewrite3(G, E))  =>  (! [H] :  ( ( ~ (v2_struct_0(H))  & l1_rewrite3(H, F))  =>  ( (u1_struct_0(G)=u1_struct_0(H) &  (u1_rewrite3(E, G)=u1_rewrite3(F, H) & r4_rewrite3(D, E, G, A, B, C)) )  => r4_rewrite3(D, F, H, A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t95_rewrite3, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(B))) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  & l1_rewrite3(D, C))  => r4_rewrite3(B, C, D, A, k2_flang_1(B), A)) ) ) ) ) ) ) ).
fof(t96_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k8_afinsq_1(C)) =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(C)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_rewrite3(G, F))  =>  (r4_rewrite3(C, F, G, A, D, B) => r3_rewrite3(C, F, G, A, k1_flang_1(C, D, E), B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t97_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k8_afinsq_1(D))) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  & l1_rewrite3(F, E))  =>  (r1_rewrite3(E, F, A, B, C) => r4_rewrite3(D, E, F, A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t98_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k8_afinsq_1(D))) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  & l1_rewrite3(F, E))  =>  (r2_rewrite3(D, E, F, A, B, C, k2_flang_1(D)) => r4_rewrite3(D, E, F, A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t99_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  (m1_subset_1(E, k8_afinsq_1(D)) =>  (! [F] :  (m1_subset_1(F, k8_afinsq_1(D)) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(k8_afinsq_1(D))) =>  (! [H] :  ( ( ~ (v2_struct_0(H))  & l1_rewrite3(H, G))  =>  ( (r4_rewrite3(D, G, H, A, E, B) & r4_rewrite3(D, G, H, B, F, C))  => r4_rewrite3(D, G, H, A, k1_flang_1(D, E, F), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t100_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  & l1_rewrite3(E, D))  =>  ( ~ (r2_tarski(k2_flang_1(C), k10_xtuple_0(k9_xtuple_0(u1_rewrite3(D, E)))))  =>  (r4_rewrite3(C, D, E, A, k2_flang_1(C), B) <=> A=B) ) ) ) ) ) ) ) ) ) ).
fof(t101_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, C) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  & l1_rewrite3(F, E))  =>  (r4_rewrite3(C, E, F, A, k3_flang_1(C, D), B) =>  (r2_tarski(k2_flang_1(C), k10_xtuple_0(k9_xtuple_0(u1_rewrite3(E, F)))) | r2_rewrite3(C, E, F, A, k3_flang_1(C, D), B, k2_flang_1(C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t102_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(k8_afinsq_1(E))) =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_rewrite3(G, F))  =>  ( (v2_rewrite3(G, E, F) &  (r4_rewrite3(E, F, G, A, B, C) & r4_rewrite3(E, F, G, A, B, D)) )  => C=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t103_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  & l1_rewrite3(E, D))  =>  (! [F] :  (m1_subset_1(F, u1_struct_0(E)) =>  (r2_tarski(F, k3_rewrite3(C, D, E, A, B)) <=>  (? [G] :  (m1_subset_1(G, u1_struct_0(E)) &  (r2_tarski(G, B) & r4_rewrite3(C, D, E, G, A, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t104_rewrite3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_rewrite3(C, B))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(C))) =>  ( ~ (r2_tarski(k2_flang_1(A), k10_xtuple_0(k9_xtuple_0(u1_rewrite3(B, C)))))  => k3_rewrite3(A, B, C, k2_flang_1(A), D)=D) ) ) ) ) ) ) ) ) ).
fof(t105_rewrite3, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(k8_afinsq_1(C))) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  & l1_rewrite3(F, D))  =>  (! [G] :  ( ( ~ (v2_struct_0(G))  & l1_rewrite3(G, E))  =>  ( (u1_struct_0(F)=u1_struct_0(G) & u1_rewrite3(D, F)=u1_rewrite3(E, G))  => k3_rewrite3(C, D, F, A, B)=k3_rewrite3(C, E, G, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(abstractness_v1_rewrite3, axiom,  (! [A, B] :  (l1_rewrite3(B, A) =>  (v1_rewrite3(B, A) => B=g1_rewrite3(A, u1_struct_0(B), u1_rewrite3(A, B))) ) ) ).
fof(dt_l1_rewrite3, axiom,  (! [A] :  (! [B] :  (l1_rewrite3(B, A) => l1_struct_0(B)) ) ) ).
fof(existence_l1_rewrite3, axiom,  (! [A] :  (? [B] : l1_rewrite3(B, A)) ) ).
fof(dt_g1_rewrite3, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, A), B))) =>  (v1_rewrite3(g1_rewrite3(A, B, C), A) & l1_rewrite3(g1_rewrite3(A, B, C), A)) ) ) ).
fof(free_g1_rewrite3, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, A), B))) =>  (! [D, E, F] :  (g1_rewrite3(A, B, C)=g1_rewrite3(D, E, F) =>  (A=D &  (B=E & C=F) ) ) ) ) ) ).
fof(dt_u1_rewrite3, axiom,  (! [A, B] :  (l1_rewrite3(B, A) => m1_subset_1(u1_rewrite3(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), A), u1_struct_0(B))))) ) ).
fof(dt_k1_rewrite3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) &  ( ~ (v2_struct_0(C))  & l1_rewrite3(C, B)) ) )  => m1_subset_1(k1_rewrite3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), k8_afinsq_1(A)), k2_zfmisc_1(u1_struct_0(C), k8_afinsq_1(A)))))) ) ).
fof(dt_k2_rewrite3, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  => m1_subset_1(k2_rewrite3(A, B), k8_afinsq_1(B))) ) ).
fof(dt_k3_rewrite3, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) &  ( ~ (v2_struct_0(C))  & l1_rewrite3(C, B)) ) )  => m1_subset_1(k3_rewrite3(A, B, C, D, E), k1_zfmisc_1(u1_struct_0(C)))) ) ).
fof(d8_rewrite3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k8_afinsq_1(A))) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_rewrite3(C, B))  =>  (! [D] :  (! [E] : k3_rewrite3(A, B, C, D, E)=a_5_0_rewrite3(A, B, C, D, E)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_5_0_rewrite3, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k1_zfmisc_1(k8_afinsq_1(B))) &  ( ~ (v2_struct_0(D))  & l1_rewrite3(D, C)) ) )  =>  (r2_hidden(A, a_5_0_rewrite3(B, C, D, E, F)) <=>  (? [G] :  (m1_subset_1(G, u1_struct_0(D)) &  (A=G &  (? [H] :  (m1_subset_1(H, u1_struct_0(D)) &  (r2_tarski(H, F) & r4_rewrite3(B, C, D, H, E, G)) ) ) ) ) ) ) ) ) ).
fof(fc1_rfinseq, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_finset_1(A))  => v1_finset_1(k10_relat_1(A, B))) ) ).
fof(rc1_rfinseq, axiom,  (? [A] :  (m1_finseq_1(A, k1_numbers) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k1_numbers) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) & v8_valued_0(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_rfinseq, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r2_classes1(A, B) <=> r2_classes1(k7_finseq_1(A, C), k7_finseq_1(B, C))) ) ) ) ) ) ) ).
fof(t2_rfinseq, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => r2_classes1(k7_finseq_1(A, B), k7_finseq_1(B, A))) ) ) ) ).
fof(t3_rfinseq, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r2_classes1(A, B) =>  (k3_finseq_1(A)=k3_finseq_1(B) & k4_finseq_1(A)=k4_finseq_1(B)) ) ) ) ) ) ).
fof(t4_rfinseq, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r2_classes1(A, B) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_1(B), k4_finseq_1(B)) &  (v3_funct_2(C, k4_finseq_1(B), k4_finseq_1(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(B), k4_finseq_1(B))))) ) )  & A=k3_relat_1(C, B)) ) ) ) ) ) ) ).
fof(t5_rfinseq, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (v1_finset_1(B) =>  (? [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  & r2_classes1(k5_relat_1(A, B), C)) ) ) ) ) ) ).
fof(d1_rfinseq, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  ( (r1_xxreal_0(A, k3_finseq_1(B)) =>  (C=k1_rfinseq(A, B) <=>  (k3_finseq_1(C)=k6_xcmplx_0(k3_finseq_1(B), A) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(C)) => k1_funct_1(C, D)=k1_funct_1(B, k2_xcmplx_0(D, A))) ) ) ) ) )  &  ( ~ (r1_xxreal_0(A, k3_finseq_1(B)))  =>  (C=k1_rfinseq(A, B) <=> C=k1_xboole_0) ) ) ) ) ) ) ) ) ).
fof(t6_rfinseq, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(C, k4_finseq_1(B)) & r2_tarski(D, k2_finseq_1(C)))  =>  (k1_funct_1(k17_finseq_1(A, C, B), D)=k1_funct_1(B, D) & r2_tarski(D, k4_finseq_1(B))) ) ) ) ) ) ) ) ) ) ).
fof(t7_rfinseq, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (k3_finseq_1(B)=k1_nat_1(C, 1) & D=k1_funct_1(B, k1_nat_1(C, 1)))  => B=k7_finseq_1(k17_finseq_1(A, C, B), k9_finseq_1(D))) ) ) ) ) ) ) ) ).
fof(t8_rfinseq, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (v7_ordinal1(C) => k8_finseq_1(A, k17_finseq_1(A, C, B), k2_rfinseq(A, C, B))=B) ) ) ) ) ) ).
fof(t9_rfinseq, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (r2_classes1(A, B) => k18_rvsum_1(A)=k18_rvsum_1(B)) ) ) ) ) ).
fof(d2_rfinseq, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (B=k3_rfinseq(A) <=>  (k3_finseq_1(B)=k3_finseq_1(A) &  (k1_funct_1(B, k3_finseq_1(B))=k1_funct_1(A, k3_finseq_1(A)) &  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, k6_xcmplx_0(k3_finseq_1(B), 1)))  => k1_funct_1(B, C)=k6_xcmplx_0(k1_funct_1(A, C), k1_funct_1(A, k1_nat_1(C, 1)))) ) ) ) ) ) ) ) ) ) ).
fof(t10_rfinseq, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (k3_finseq_1(A)=k1_nat_1(C, 2) & k1_funct_1(A, k1_nat_1(C, 1))=B)  => k3_rfinseq(k17_finseq_1(k1_numbers, k1_nat_1(C, 1), A))=k7_finseq_1(k17_finseq_1(k1_numbers, C, k3_rfinseq(A)), k9_finseq_1(B))) ) ) ) ) ) ) ).
fof(t11_rfinseq, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (k3_finseq_1(A)=k1_nat_1(D, 2) &  (k1_funct_1(A, k1_nat_1(D, 1))=B & k1_funct_1(A, k1_nat_1(D, 2))=C) )  => k3_rfinseq(A)=k7_finseq_1(k17_finseq_1(k1_numbers, D, k3_rfinseq(A)), k10_finseq_1(k6_xcmplx_0(B, C), C))) ) ) ) ) ) ) ) ) ).
fof(t12_rfinseq, axiom, k3_rfinseq(k6_finseq_1(k1_numbers))=k6_finseq_1(k1_numbers)).
fof(t13_rfinseq, axiom,  (! [A] :  (v1_xreal_0(A) => k3_rfinseq(k9_finseq_1(A))=k9_finseq_1(A)) ) ).
fof(t14_rfinseq, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k3_rfinseq(k10_finseq_1(A, B))=k10_finseq_1(k6_xcmplx_0(A, B), B)) ) ) ) ).
fof(t15_rfinseq, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (v7_ordinal1(B) => k2_rfinseq(k1_numbers, B, k3_rfinseq(A))=k3_rfinseq(k2_rfinseq(k1_numbers, B, A))) ) ) ) ).
fof(t16_rfinseq, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  ( ~ (k3_finseq_1(A)=k5_numbers)  => k18_rvsum_1(k3_rfinseq(A))=k1_funct_1(A, 1)) ) ) ).
fof(t17_rfinseq, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(k3_finseq_1(A), B))  => k18_rvsum_1(k3_rfinseq(k2_rfinseq(k1_numbers, B, A)))=k1_funct_1(A, k1_nat_1(B, 1))) ) ) ) ) ).
fof(d3_rfinseq, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  =>  (v8_valued_0(A) <=>  (! [B] :  (v7_ordinal1(B) =>  ( (r2_tarski(B, k4_finseq_1(A)) & r2_tarski(k1_nat_1(B, 1), k4_finseq_1(A)))  => r1_xxreal_0(k1_funct_1(A, k1_nat_1(B, 1)), k1_funct_1(A, B))) ) ) ) ) ) ).
fof(t18_rfinseq, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  ( (k3_finseq_1(A)=k5_numbers | k3_finseq_1(A)=1)  => v8_valued_0(A)) ) ) ).
fof(t19_rfinseq, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (v8_valued_0(A) <=>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r2_tarski(B, k4_finseq_1(A)) & r2_tarski(C, k4_finseq_1(A)))  =>  (r1_xxreal_0(C, B) | r1_xxreal_0(k1_funct_1(A, C), k1_funct_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(t20_rfinseq, axiom,  (! [A] :  ( (v8_valued_0(A) & m2_finseq_1(A, k1_numbers))  =>  (! [B] :  (v7_ordinal1(B) =>  (v8_valued_0(k17_finseq_1(k1_numbers, B, A)) & m2_finseq_1(k17_finseq_1(k1_numbers, B, A), k1_numbers)) ) ) ) ) ).
fof(t21_rfinseq, axiom,  (! [A] :  ( (v8_valued_0(A) & m2_finseq_1(A, k1_numbers))  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => v8_valued_0(k2_rfinseq(k1_numbers, B, A))) ) ) ) ).
fof(t22_rfinseq, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (? [B] :  ( (v8_valued_0(B) & m2_finseq_1(B, k1_numbers))  & r2_classes1(A, B)) ) ) ) ).
fof(t23_rfinseq, axiom,  (! [A] :  ( (v8_valued_0(A) & m2_finseq_1(A, k1_numbers))  =>  (! [B] :  ( (v8_valued_0(B) & m2_finseq_1(B, k1_numbers))  =>  (r2_classes1(A, B) => A=B) ) ) ) ) ).
fof(t24_rfinseq, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (B=k5_numbers)  => k8_relset_1(k4_ordinal1, k1_numbers, A, k1_tarski(k7_xcmplx_0(C, B)))=k8_relset_1(k4_ordinal1, k1_numbers, k10_rvsum_1(A, B), k1_tarski(C))) ) ) ) ) ) ) ).
fof(t25_rfinseq, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) => k8_relset_1(k4_ordinal1, k1_numbers, k10_rvsum_1(A, k5_numbers), k1_tarski(k5_numbers))=k4_finseq_1(A)) ) ).
fof(t26_rfinseq, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (k10_xtuple_0(A)=k10_xtuple_0(B) &  (v2_funct_1(A) & v2_funct_1(B)) )  => r2_classes1(A, B)) ) ) ) ) ).
fof(t27_rfinseq, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k1_rfinseq(k3_finseq_1(A), A)=k1_xboole_0) ) ).
fof(t28_rfinseq, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (! [D] :  ( (k1_funct_1(A, C)=k1_funct_1(B, D) &  (k1_funct_1(A, D)=k1_funct_1(B, C) &  (r2_tarski(C, k9_xtuple_0(A)) &  (r2_tarski(D, k9_xtuple_0(A)) &  (k9_xtuple_0(A)=k9_xtuple_0(B) &  (! [E] :  (r2_tarski(E, k9_xtuple_0(A)) =>  (E=C |  (E=D | k1_funct_1(A, E)=k1_funct_1(B, E)) ) ) ) ) ) ) ) )  => r2_classes1(A, B)) ) ) ) ) ) ) ).
fof(t29_rfinseq, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) => k3_finseq_1(k1_rfinseq(B, A))=k1_xreal_0(k3_finseq_1(A), B)) ) ) ) ).
fof(t30_rfinseq, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ~ ( (r2_tarski(C, k4_finseq_1(B)) &  (r2_classes1(A, B) &  (! [D] :  ~ ( (r2_tarski(D, k4_finseq_1(B)) & k1_funct_1(A, C)=k1_funct_1(B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_rfinseq, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r2_classes1(A, B) <=> r2_classes1(k7_finseq_1(C, A), k7_finseq_1(C, B))) ) ) ) ) ) ) ).
fof(t32_rfinseq, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_classes1(A, B) &  (r1_xxreal_0(C, D) &  (r1_xxreal_0(D, k3_finseq_1(A)) &  ( (! [F] :  (v7_ordinal1(F) =>  ( (r1_xxreal_0(1, F) & r1_xxreal_0(F, C))  => k1_funct_1(A, F)=k1_funct_1(B, F)) ) )  &  ( (! [F] :  (v7_ordinal1(F) =>  (r1_xxreal_0(F, k3_finseq_1(A)) =>  (r1_xxreal_0(F, D) | k1_funct_1(A, F)=k1_funct_1(B, F)) ) ) )  &  ( ~ (r1_xxreal_0(E, C))  &  (r1_xxreal_0(E, D) &  (! [F] :  (v7_ordinal1(F) =>  ~ ( ( ~ (r1_xxreal_0(F, C))  &  (r1_xxreal_0(F, D) & k1_funct_1(A, E)=k1_funct_1(B, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_rfinseq, axiom,  (! [A] :  (m2_finseq_1(A, k4_numbers) =>  (? [B] :  (m2_finseq_1(B, k1_numbers) &  (r2_classes1(A, B) &  (m2_finseq_1(B, k4_numbers) & v8_valued_0(B)) ) ) ) ) ) ).
fof(dt_k1_rfinseq, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  =>  (v1_relat_1(k1_rfinseq(A, B)) &  (v1_funct_1(k1_rfinseq(A, B)) & v1_finseq_1(k1_rfinseq(A, B))) ) ) ) ).
fof(dt_k2_rfinseq, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) & m1_finseq_1(C, A))  => m2_finseq_1(k2_rfinseq(A, B, C), A)) ) ).
fof(redefinition_k2_rfinseq, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) & m1_finseq_1(C, A))  => k2_rfinseq(A, B, C)=k1_rfinseq(B, C)) ) ).
fof(dt_k3_rfinseq, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  => m2_finseq_1(k3_rfinseq(A), k1_numbers)) ) ).
fof(d1_rfinseq2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (v7_ordinal1(B) =>  (B=k1_rfinseq2(A) <=>  ( (k3_finseq_1(A)=k5_numbers => B=k5_numbers)  &  ( ~ (r1_xxreal_0(k3_finseq_1(A), k5_numbers))  =>  (r2_tarski(B, k4_finseq_1(A)) &  ( (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ( (r2_tarski(C, k4_finseq_1(A)) &  (D=k1_funct_1(A, C) & E=k1_funct_1(A, B)) )  => r1_xxreal_0(D, E)) ) ) ) ) ) )  &  (! [C] :  (v7_ordinal1(C) =>  ( (r2_tarski(C, k4_finseq_1(A)) & k1_funct_1(A, C)=k1_funct_1(A, B))  => r1_xxreal_0(B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_rfinseq2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (v7_ordinal1(B) =>  (B=k2_rfinseq2(A) <=>  ( (k3_finseq_1(A)=k5_numbers => B=k5_numbers)  &  ( ~ (r1_xxreal_0(k3_finseq_1(A), k5_numbers))  =>  (r2_tarski(B, k4_finseq_1(A)) &  ( (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ( (r2_tarski(C, k4_finseq_1(A)) &  (D=k1_funct_1(A, C) & E=k1_funct_1(A, B)) )  => r1_xxreal_0(E, D)) ) ) ) ) ) )  &  (! [C] :  (v7_ordinal1(C) =>  ( (r2_tarski(C, k4_finseq_1(A)) & k1_funct_1(A, C)=k1_funct_1(A, B))  => r1_xxreal_0(B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_rfinseq2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) => k3_rfinseq2(A)=k1_funct_1(A, k1_rfinseq2(A))) ) ).
fof(d4_rfinseq2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) => k4_rfinseq2(A)=k1_funct_1(A, k2_rfinseq2(A))) ) ).
fof(t1_rfinseq2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(B, k3_finseq_1(A)))  =>  (r1_xxreal_0(k1_funct_1(A, B), k1_funct_1(A, k1_rfinseq2(A))) & r1_xxreal_0(k1_funct_1(A, B), k3_rfinseq2(A))) ) ) ) ) ) ).
fof(t2_rfinseq2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(B, k3_finseq_1(A)))  =>  (r1_xxreal_0(k1_funct_1(A, k2_rfinseq2(A)), k1_funct_1(A, B)) & r1_xxreal_0(k4_rfinseq2(A), k1_funct_1(A, B))) ) ) ) ) ) ).
fof(t3_rfinseq2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (v1_xreal_0(B) =>  (A=k9_finseq_1(B) =>  (k1_rfinseq2(A)=1 & k3_rfinseq2(A)=B) ) ) ) ) ) ).
fof(t4_rfinseq2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (v1_xreal_0(B) =>  (A=k9_finseq_1(B) =>  (k2_rfinseq2(A)=1 & k4_rfinseq2(A)=B) ) ) ) ) ) ).
fof(t5_rfinseq2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (A=k10_finseq_1(B, C) =>  (k3_rfinseq2(A)=k4_xxreal_0(B, C) & k1_rfinseq2(A)=k16_funcop_1(k4_ordinal1, B, k4_xxreal_0(B, C), 1, 2)) ) ) ) ) ) ) ) ).
fof(t6_rfinseq2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (A=k10_finseq_1(B, C) =>  (k4_rfinseq2(A)=k3_xxreal_0(B, C) & k2_rfinseq2(A)=k16_funcop_1(k4_ordinal1, B, k3_xxreal_0(B, C), 1, 2)) ) ) ) ) ) ) ) ).
fof(t7_rfinseq2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (k3_finseq_1(A)=k3_finseq_1(B) =>  (r1_xxreal_0(k3_finseq_1(A), k5_numbers) | r1_xxreal_0(k3_rfinseq2(k4_rvsum_1(A, B)), k2_xcmplx_0(k3_rfinseq2(A), k3_rfinseq2(B)))) ) ) ) ) ) ).
fof(t8_rfinseq2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (k3_finseq_1(A)=k3_finseq_1(B) =>  (r1_xxreal_0(k3_finseq_1(A), k5_numbers) | r1_xxreal_0(k2_xcmplx_0(k4_rfinseq2(A), k4_rfinseq2(B)), k4_rfinseq2(k4_rvsum_1(A, B)))) ) ) ) ) ) ).
fof(t9_rfinseq2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(k3_finseq_1(A), k5_numbers))  &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  ~ ( (k3_rfinseq2(k10_rvsum_1(A, B))=k3_xcmplx_0(B, k3_rfinseq2(A)) & k1_rfinseq2(k10_rvsum_1(A, B))=k1_rfinseq2(A)) ) ) ) ) ) ) ) ) ).
fof(t10_rfinseq2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(k3_finseq_1(A), k5_numbers))  &  ( ~ (r1_xxreal_0(B, k5_numbers))  &  ~ ( (k4_rfinseq2(k10_rvsum_1(A, B))=k3_xcmplx_0(B, k4_rfinseq2(A)) & k2_rfinseq2(k10_rvsum_1(A, B))=k2_rfinseq2(A)) ) ) ) ) ) ) ) ) ).
fof(t11_rfinseq2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  ( ~ (r1_xxreal_0(k3_finseq_1(A), k5_numbers))  =>  (k3_rfinseq2(k6_rvsum_1(A))=k4_xcmplx_0(k4_rfinseq2(A)) & k1_rfinseq2(k6_rvsum_1(A))=k2_rfinseq2(A)) ) ) ) ).
fof(t12_rfinseq2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  ( ~ (r1_xxreal_0(k3_finseq_1(A), k5_numbers))  =>  (k4_rfinseq2(k6_rvsum_1(A))=k4_xcmplx_0(k3_rfinseq2(A)) & k2_rfinseq2(k6_rvsum_1(A))=k1_rfinseq2(A)) ) ) ) ).
fof(t13_rfinseq2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(k3_finseq_1(A), B))  =>  (r1_xxreal_0(k3_rfinseq2(k2_rfinseq(k1_numbers, B, A)), k3_rfinseq2(A)) & r1_xxreal_0(k4_rfinseq2(A), k4_rfinseq2(k2_rfinseq(k1_numbers, B, A)))) ) ) ) ) ) ).
fof(t14_rfinseq2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (r2_classes1(A, B) => k3_rfinseq2(A)=k3_rfinseq2(B)) ) ) ) ) ).
fof(t15_rfinseq2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (r2_classes1(A, B) => k4_rfinseq2(A)=k4_rfinseq2(B)) ) ) ) ) ).
fof(d5_rfinseq2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  ( (v8_valued_0(B) & m2_finseq_1(B, k1_numbers))  =>  (B=k5_rfinseq2(A) <=> r2_classes1(A, B)) ) ) ) ) ).
fof(t16_rfinseq2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  ( (k3_finseq_1(A)=k5_numbers | k3_finseq_1(A)=1)  => v7_valued_0(A)) ) ) ).
fof(t17_rfinseq2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (v7_valued_0(A) <=>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r2_tarski(B, k4_finseq_1(A)) & r2_tarski(C, k4_finseq_1(A)))  =>  (r1_xxreal_0(C, B) | r1_xxreal_0(k1_funct_1(A, B), k1_funct_1(A, C))) ) ) ) ) ) ) ) ) ).
fof(t18_rfinseq2, axiom,  (! [A] :  ( (v7_valued_0(A) & m2_finseq_1(A, k1_numbers))  =>  (! [B] :  (v7_ordinal1(B) =>  (v7_valued_0(k17_finseq_1(k1_numbers, B, A)) & m2_finseq_1(k17_finseq_1(k1_numbers, B, A), k1_numbers)) ) ) ) ) ).
fof(t19_rfinseq2, axiom,  (! [A] :  ( (v7_valued_0(A) & m2_finseq_1(A, k1_numbers))  =>  (! [B] :  ( (v7_valued_0(B) & m2_finseq_1(B, k1_numbers))  =>  (r2_classes1(A, B) => A=B) ) ) ) ) ).
fof(d6_rfinseq2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  ( (v7_valued_0(B) & m2_finseq_1(B, k1_numbers))  =>  (B=k6_rfinseq2(A) <=> r2_classes1(A, B)) ) ) ) ) ).
fof(t20_rfinseq2, axiom,  (! [A] :  ( (v8_valued_0(A) & m2_finseq_1(A, k1_numbers))  => k5_rfinseq2(A)=A) ) ).
fof(t21_rfinseq2, axiom,  (! [A] :  ( (v7_valued_0(A) & m2_finseq_1(A, k1_numbers))  => k6_rfinseq2(A)=A) ) ).
fof(t24_rfinseq2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (v8_valued_0(A) => v7_valued_0(k6_rvsum_1(A))) ) ) ).
fof(t25_rfinseq2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (v7_valued_0(A) => v8_valued_0(k6_rvsum_1(A))) ) ) ).
fof(t26_rfinseq2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_finseq_1(B), k4_finseq_1(B)) &  (v3_funct_2(C, k4_finseq_1(B), k4_finseq_1(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(B), k4_finseq_1(B))))) ) )  =>  ( (A=k3_relat_1(C, B) & r1_xxreal_0(1, k3_finseq_1(B)))  => k6_rvsum_1(A)=k3_relat_1(C, k6_rvsum_1(B))) ) ) ) ) ) ) ).
fof(t27_rfinseq2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (! [B] :  (m2_finseq_1(B, k1_numbers) =>  (r2_classes1(A, B) => r2_classes1(k6_rvsum_1(A), k6_rvsum_1(B))) ) ) ) ) ).
fof(t28_rfinseq2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) => k5_rfinseq2(k6_rvsum_1(A))=k6_rvsum_1(k6_rfinseq2(A))) ) ).
fof(t29_rfinseq2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) => k6_rfinseq2(k6_rvsum_1(A))=k6_rvsum_1(k5_rfinseq2(A))) ) ).
fof(t30_rfinseq2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (k4_finseq_1(k5_rfinseq2(A))=k4_finseq_1(A) & k3_finseq_1(k5_rfinseq2(A))=k3_finseq_1(A)) ) ) ).
fof(t31_rfinseq2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (k4_finseq_1(k6_rfinseq2(A))=k4_finseq_1(A) & k3_finseq_1(k6_rfinseq2(A))=k3_finseq_1(A)) ) ) ).
fof(t32_rfinseq2, axiom,  (! [A] :  (m2_finseq_1(A, k1_numbers) =>  (r1_xxreal_0(1, k3_finseq_1(A)) =>  (k1_rfinseq2(k5_rfinseq2(A))=1 &  (k2_rfinseq2(k6_rfinseq2(A))=1 &  (k1_funct_1(k5_rfinseq2(A), 1)=k3_rfinseq2(A) & k1_funct_1(k6_rfinseq2(A), 1)=k4_rfinseq2(A)) ) ) ) ) ) ).
fof(dt_k1_rfinseq2, axiom,  (! [A] :  (m1_finseq_1(A, k1_numbers) => v7_ordinal1(k1_rfinseq2(A))) ) ).
fof(dt_k2_rfinseq2, axiom,  (! [A] :  (m1_finseq_1(A, k1_numbers) => v7_ordinal1(k2_rfinseq2(A))) ) ).
fof(dt_k3_rfinseq2, axiom,  (! [A] :  (m1_finseq_1(A, k1_numbers) => v1_xreal_0(k3_rfinseq2(A))) ) ).
fof(dt_k4_rfinseq2, axiom,  (! [A] :  (m1_finseq_1(A, k1_numbers) => v1_xreal_0(k4_rfinseq2(A))) ) ).
fof(dt_k5_rfinseq2, axiom,  (! [A] :  (m1_finseq_1(A, k1_numbers) =>  (v8_valued_0(k5_rfinseq2(A)) & m2_finseq_1(k5_rfinseq2(A), k1_numbers)) ) ) ).
fof(projectivity_k5_rfinseq2, axiom,  (! [A] :  (m1_finseq_1(A, k1_numbers) => k5_rfinseq2(k5_rfinseq2(A))=k5_rfinseq2(A)) ) ).
fof(dt_k6_rfinseq2, axiom,  (! [A] :  (m1_finseq_1(A, k1_numbers) =>  (v7_valued_0(k6_rfinseq2(A)) & m2_finseq_1(k6_rfinseq2(A), k1_numbers)) ) ) ).
fof(projectivity_k6_rfinseq2, axiom,  (! [A] :  (m1_finseq_1(A, k1_numbers) => k6_rfinseq2(k6_rfinseq2(A))=k6_rfinseq2(A)) ) ).
fof(fc1_rfunct_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) ) )  =>  (v1_relat_1(k1_rfunct_1(A, B)) &  (v1_funct_1(k1_rfunct_1(A, B)) & v1_valued_0(k1_rfunct_1(A, B))) ) ) ) ).
fof(fc2_rfunct_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v3_valued_0(B)) ) )  =>  (v1_relat_1(k1_rfunct_1(A, B)) &  (v1_funct_1(k1_rfunct_1(A, B)) & v3_valued_0(k1_rfunct_1(A, B))) ) ) ) ).
fof(fc3_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (v1_relat_1(k4_rfunct_1(A)) &  (v1_funct_1(k4_rfunct_1(A)) & v1_valued_0(k4_rfunct_1(A))) ) ) ) ).
fof(fc4_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  =>  (v1_relat_1(k4_rfunct_1(A)) &  (v1_funct_1(k4_rfunct_1(A)) & v3_valued_0(k4_rfunct_1(A))) ) ) ) ).
fof(fc5_rfunct_1, axiom,  (! [A, B] :  (v1_funct_1(k4_funct_3(A, B)) & v1_partfun1(k4_funct_3(A, B), B)) ) ).
fof(cc1_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_funct_1(A) & v3_valued_0(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) & v1_comseq_2(A)) ) ) ) ) ).
fof(fc6_rfunct_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) & v1_seq_2(A)) ) )  =>  (v1_relat_1(k5_relat_1(A, B)) &  (v1_funct_1(k5_relat_1(A, B)) &  (v3_valued_0(k5_relat_1(A, B)) & v1_seq_2(k5_relat_1(A, B))) ) ) ) ) ).
fof(fc7_rfunct_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) & v2_seq_2(A)) ) )  =>  (v1_relat_1(k5_relat_1(A, B)) &  (v1_funct_1(k5_relat_1(A, B)) &  (v3_valued_0(k5_relat_1(A, B)) & v2_seq_2(k5_relat_1(A, B))) ) ) ) ) ).
fof(fc8_rfunct_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) & v1_seq_2(A)) ) )  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  (v1_relat_1(k24_valued_1(A, B)) &  (v1_funct_1(k24_valued_1(A, B)) &  (v3_valued_0(k24_valued_1(A, B)) & v1_seq_2(k24_valued_1(A, B))) ) ) ) ) ).
fof(fc9_rfunct_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) & v2_seq_2(A)) ) )  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  (v1_relat_1(k24_valued_1(A, B)) &  (v1_funct_1(k24_valued_1(A, B)) &  (v3_valued_0(k24_valued_1(A, B)) & v2_seq_2(k24_valued_1(A, B))) ) ) ) ) ).
fof(fc10_rfunct_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) & v1_seq_2(A)) ) )  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  (v1_relat_1(k24_valued_1(A, B)) &  (v1_funct_1(k24_valued_1(A, B)) &  (v3_valued_0(k24_valued_1(A, B)) & v2_seq_2(k24_valued_1(A, B))) ) ) ) ) ).
fof(fc11_rfunct_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) & v2_seq_2(A)) ) )  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  (v1_relat_1(k24_valued_1(A, B)) &  (v1_funct_1(k24_valued_1(A, B)) &  (v3_valued_0(k24_valued_1(A, B)) & v1_seq_2(k24_valued_1(A, B))) ) ) ) ) ).
fof(fc12_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  =>  (v1_relat_1(k54_valued_1(A)) &  (v1_funct_1(k54_valued_1(A)) &  (v3_valued_0(k54_valued_1(A)) & v2_seq_2(k54_valued_1(A))) ) ) ) ) ).
fof(fc13_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) & v1_comseq_2(A)) ) )  =>  (v1_relat_1(k54_valued_1(A)) &  (v1_funct_1(k54_valued_1(A)) &  (v3_valued_0(k54_valued_1(A)) & v1_comseq_2(k54_valued_1(A))) ) ) ) ) ).
fof(fc14_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) & v1_seq_2(A)) ) )  =>  (v1_relat_1(k30_valued_1(A)) &  (v1_funct_1(k30_valued_1(A)) &  (v3_valued_0(k30_valued_1(A)) & v2_seq_2(k30_valued_1(A))) ) ) ) ) ).
fof(fc15_rfunct_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) & v1_seq_2(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_valued_0(B) & v1_seq_2(B)) ) ) )  =>  (v1_relat_1(k1_valued_1(A, B)) &  (v1_funct_1(k1_valued_1(A, B)) &  (v3_valued_0(k1_valued_1(A, B)) & v1_seq_2(k1_valued_1(A, B))) ) ) ) ) ).
fof(fc16_rfunct_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) & v2_seq_2(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_valued_0(B) & v2_seq_2(B)) ) ) )  =>  (v1_relat_1(k1_valued_1(A, B)) &  (v1_funct_1(k1_valued_1(A, B)) &  (v3_valued_0(k1_valued_1(A, B)) & v2_seq_2(k1_valued_1(A, B))) ) ) ) ) ).
fof(fc17_rfunct_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) & v1_comseq_2(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_valued_0(B) & v1_comseq_2(B)) ) ) )  =>  (v1_relat_1(k18_valued_1(A, B)) &  (v1_funct_1(k18_valued_1(A, B)) &  (v3_valued_0(k18_valued_1(A, B)) & v1_comseq_2(k18_valued_1(A, B))) ) ) ) ) ).
fof(fc18_rfunct_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v3_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(C) &  (v3_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  =>  (v1_relat_1(k1_valued_1(B, C)) &  (v1_funct_1(k1_valued_1(B, C)) & v3_funct_1(k1_valued_1(B, C))) ) ) ) ).
fof(fc19_rfunct_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v3_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(C) &  (v3_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  =>  (v1_relat_1(k45_valued_1(B, C)) &  (v1_funct_1(k45_valued_1(B, C)) & v3_funct_1(k45_valued_1(B, C))) ) ) ) ).
fof(fc20_rfunct_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v3_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  &  (v1_funct_1(C) &  (v3_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) )  =>  (v1_relat_1(k18_valued_1(B, C)) &  (v1_funct_1(k18_valued_1(B, C)) & v3_funct_1(k18_valued_1(B, C))) ) ) ) ).
fof(fc21_rfunct_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v3_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k30_valued_1(B)) &  (v1_funct_1(k30_valued_1(B)) &  (v3_funct_1(k30_valued_1(B)) & v1_valued_0(k30_valued_1(B))) ) ) ) ) ).
fof(fc22_rfunct_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v3_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_relat_1(k54_valued_1(B)) &  (v1_funct_1(k54_valued_1(B)) &  (v3_funct_1(k54_valued_1(B)) & v3_valued_0(k54_valued_1(B))) ) ) ) ) ).
fof(fc23_rfunct_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v3_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  & v1_xreal_0(C)) )  =>  (v1_relat_1(k24_valued_1(B, C)) &  (v1_funct_1(k24_valued_1(B, C)) & v3_funct_1(k24_valued_1(B, C))) ) ) ) ).
fof(d1_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k1_rfunct_1(A, B) <=>  (k9_xtuple_0(C)=k9_subset_1(k9_xtuple_0(B), k9_xtuple_0(A), k6_subset_1(k9_xtuple_0(B), k8_relat_1(B, k1_tarski(k5_numbers)))) &  (! [D] :  (r2_hidden(D, k9_xtuple_0(C)) => k1_funct_1(C, D)=k3_xcmplx_0(k1_funct_1(A, D), k5_xcmplx_0(k1_funct_1(B, D)))) ) ) ) ) ) ) ) ) ) ).
fof(d2_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (B=k4_rfunct_1(A) <=>  (k9_xtuple_0(B)=k6_subset_1(k9_xtuple_0(A), k8_relat_1(A, k1_tarski(k5_numbers))) &  (! [C] :  (r2_hidden(C, k9_xtuple_0(B)) => k1_funct_1(B, C)=k5_xcmplx_0(k1_funct_1(A, C))) ) ) ) ) ) ) ) ).
fof(t1_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (r1_tarski(k9_xtuple_0(k4_rfunct_1(A)), k9_xtuple_0(A)) & k9_subset_1(k9_xtuple_0(A), k9_xtuple_0(A), k6_subset_1(k9_xtuple_0(A), k8_relat_1(A, k1_tarski(k5_numbers))))=k6_subset_1(k9_xtuple_0(A), k8_relat_1(A, k1_tarski(k5_numbers)))) ) ) ).
fof(t2_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  => k6_subset_1(k9_xtuple_0(k18_valued_1(A, B)), k8_relat_1(k18_valued_1(A, B), k1_tarski(k5_numbers)))=k9_subset_1(k9_xtuple_0(B), k6_subset_1(k9_xtuple_0(A), k8_relat_1(A, k1_tarski(k5_numbers))), k6_subset_1(k9_xtuple_0(B), k8_relat_1(B, k1_tarski(k5_numbers))))) ) ) ) ).
fof(t3_rfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_valued_0(C)) )  =>  ~ ( (r2_tarski(B, k9_xtuple_0(k4_rfunct_1(C))) & k1_funct_1(C, B)=k5_numbers) ) ) ) ) ) ) ) ).
fof(t4_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  => k8_relat_1(k4_rfunct_1(A), k1_tarski(k5_numbers))=k1_xboole_0) ) ).
fof(t5_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (k8_relat_1(k54_valued_1(A), k1_tarski(k5_numbers))=k8_relat_1(A, k1_tarski(k5_numbers)) & k8_relat_1(k30_valued_1(A), k1_tarski(k5_numbers))=k8_relat_1(A, k1_tarski(k5_numbers))) ) ) ).
fof(t6_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  => k9_xtuple_0(k4_rfunct_1(k4_rfunct_1(A)))=k9_xtuple_0(k5_relat_1(A, k9_xtuple_0(k4_rfunct_1(A))))) ) ).
fof(t7_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  (v1_xcmplx_0(B) =>  ( ~ (B=k5_numbers)  => k8_relat_1(k24_valued_1(A, B), k1_tarski(k5_numbers))=k8_relat_1(A, k1_tarski(k5_numbers))) ) ) ) ) ).
fof(t8_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_valued_0(C)) )  => k1_valued_1(k1_valued_1(A, B), C)=k1_valued_1(A, k1_valued_1(B, C))) ) ) ) ) ) ).
fof(t9_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_valued_0(C)) )  => k18_valued_1(k18_valued_1(A, B), C)=k18_valued_1(A, k18_valued_1(B, C))) ) ) ) ) ) ).
fof(t10_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_valued_0(C)) )  => k18_valued_1(k1_valued_1(A, B), C)=k1_valued_1(k18_valued_1(A, C), k18_valued_1(B, C))) ) ) ) ) ) ).
fof(t11_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_valued_0(C)) )  => k18_valued_1(C, k1_valued_1(A, B))=k1_valued_1(k18_valued_1(C, A), k18_valued_1(C, B))) ) ) ) ) ) ).
fof(t12_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  =>  (! [C] :  (v1_xcmplx_0(C) => k24_valued_1(k18_valued_1(A, B), C)=k18_valued_1(k24_valued_1(A, C), B)) ) ) ) ) ) ).
fof(t13_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  =>  (! [C] :  (v1_xcmplx_0(C) => k24_valued_1(k18_valued_1(A, B), C)=k18_valued_1(A, k24_valued_1(B, C))) ) ) ) ) ) ).
fof(t14_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_valued_0(C)) )  => k18_valued_1(k45_valued_1(A, B), C)=k45_valued_1(k18_valued_1(A, C), k18_valued_1(B, C))) ) ) ) ) ) ).
fof(t15_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_valued_0(C)) )  => k45_valued_1(k18_valued_1(C, A), k18_valued_1(C, B))=k18_valued_1(C, k45_valued_1(A, B))) ) ) ) ) ) ).
fof(t16_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  =>  (! [C] :  (v1_xcmplx_0(C) => k24_valued_1(k1_valued_1(A, B), C)=k1_valued_1(k24_valued_1(A, C), k24_valued_1(B, C))) ) ) ) ) ) ).
fof(t17_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k24_valued_1(A, k3_xcmplx_0(B, C))=k24_valued_1(k24_valued_1(A, C), B)) ) ) ) ) ) ).
fof(t18_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  =>  (! [C] :  (v1_xcmplx_0(C) => k24_valued_1(k45_valued_1(A, B), C)=k45_valued_1(k24_valued_1(A, C), k24_valued_1(B, C))) ) ) ) ) ) ).
fof(t19_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  => k45_valued_1(A, B)=k24_valued_1(k45_valued_1(B, A), k4_xcmplx_0(1))) ) ) ) ).
fof(t20_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_valued_0(C)) )  => k45_valued_1(A, k1_valued_1(B, C))=k45_valued_1(k45_valued_1(A, B), C)) ) ) ) ) ) ).
fof(t21_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  => k24_valued_1(A, 1)=A) ) ).
fof(t22_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_valued_0(C)) )  => k45_valued_1(A, k45_valued_1(B, C))=k1_valued_1(k45_valued_1(A, B), C)) ) ) ) ) ) ).
fof(t23_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_valued_0(C)) )  => k1_valued_1(A, k45_valued_1(B, C))=k45_valued_1(k1_valued_1(A, B), C)) ) ) ) ) ) ).
fof(t24_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  => k54_valued_1(k18_valued_1(A, B))=k18_valued_1(k54_valued_1(A), k54_valued_1(B))) ) ) ) ).
fof(t25_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  (v1_xcmplx_0(B) => k54_valued_1(k24_valued_1(A, B))=k24_valued_1(k54_valued_1(A), k9_complex1(B))) ) ) ) ).
fof(t26_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  => k4_rfunct_1(k4_rfunct_1(A))=k5_relat_1(A, k9_xtuple_0(k4_rfunct_1(A)))) ) ).
fof(t27_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  => k4_rfunct_1(k18_valued_1(A, B))=k18_valued_1(k4_rfunct_1(A), k4_rfunct_1(B))) ) ) ) ).
fof(t28_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  (v1_xcmplx_0(B) =>  ( ~ (B=k5_numbers)  => k4_rfunct_1(k24_valued_1(A, B))=k24_valued_1(k4_rfunct_1(A), k5_xcmplx_0(B))) ) ) ) ) ).
fof(t29_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  => k4_rfunct_1(k30_valued_1(A))=k24_valued_1(k4_rfunct_1(A), k4_xcmplx_0(1))) ) ).
fof(t30_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  => k4_rfunct_1(k54_valued_1(A))=k54_valued_1(k4_rfunct_1(A))) ) ).
fof(t31_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  => k1_rfunct_1(A, B)=k18_valued_1(A, k4_rfunct_1(B))) ) ) ) ).
fof(t32_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  =>  (! [C] :  (v1_xcmplx_0(C) => k24_valued_1(k1_rfunct_1(B, A), C)=k1_rfunct_1(k24_valued_1(B, C), A)) ) ) ) ) ) ).
fof(t33_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  => k18_valued_1(k1_rfunct_1(A, B), B)=k5_relat_1(A, k9_xtuple_0(k4_rfunct_1(B)))) ) ) ) ).
fof(t34_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_valued_0(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_valued_0(D)) )  => k18_valued_1(k1_rfunct_1(A, C), k1_rfunct_1(B, D))=k1_rfunct_1(k18_valued_1(A, B), k18_valued_1(C, D))) ) ) ) ) ) ) ) ).
fof(t35_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  => k4_rfunct_1(k1_rfunct_1(A, B))=k1_rfunct_1(k5_relat_1(B, k9_xtuple_0(k4_rfunct_1(B))), A)) ) ) ) ).
fof(t36_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_valued_0(C)) )  => k18_valued_1(C, k1_rfunct_1(A, B))=k1_rfunct_1(k18_valued_1(C, A), B)) ) ) ) ) ) ).
fof(t37_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_valued_0(C)) )  => k1_rfunct_1(C, k1_rfunct_1(A, B))=k1_rfunct_1(k18_valued_1(C, k5_relat_1(B, k9_xtuple_0(k4_rfunct_1(B)))), A)) ) ) ) ) ) ).
fof(t38_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  =>  (k30_valued_1(k1_rfunct_1(A, B))=k1_rfunct_1(k30_valued_1(A), B) & k1_rfunct_1(A, k30_valued_1(B))=k30_valued_1(k1_rfunct_1(A, B))) ) ) ) ) ).
fof(t39_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_valued_0(C)) )  =>  (k1_valued_1(k1_rfunct_1(B, A), k1_rfunct_1(C, A))=k1_rfunct_1(k1_valued_1(B, C), A) & k45_valued_1(k1_rfunct_1(B, A), k1_rfunct_1(C, A))=k1_rfunct_1(k45_valued_1(B, C), A)) ) ) ) ) ) ) ).
fof(t40_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_valued_0(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_valued_0(D)) )  => k1_valued_1(k1_rfunct_1(B, A), k1_rfunct_1(D, C))=k1_rfunct_1(k1_valued_1(k18_valued_1(B, C), k18_valued_1(D, A)), k18_valued_1(A, C))) ) ) ) ) ) ) ) ).
fof(t41_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_valued_0(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_valued_0(D)) )  => k1_rfunct_1(k1_rfunct_1(A, C), k1_rfunct_1(B, D))=k1_rfunct_1(k18_valued_1(A, k5_relat_1(D, k9_xtuple_0(k4_rfunct_1(D)))), k18_valued_1(C, B))) ) ) ) ) ) ) ) ).
fof(t42_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_valued_0(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_valued_0(D)) )  => k45_valued_1(k1_rfunct_1(B, A), k1_rfunct_1(D, C))=k1_rfunct_1(k45_valued_1(k18_valued_1(B, C), k18_valued_1(D, A)), k18_valued_1(A, C))) ) ) ) ) ) ) ) ).
fof(t43_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  => k54_valued_1(k1_rfunct_1(A, B))=k1_rfunct_1(k54_valued_1(A), k54_valued_1(B))) ) ) ) ).
fof(t44_rfunct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_valued_0(C)) )  =>  (k5_relat_1(k1_valued_1(B, C), A)=k1_valued_1(k5_relat_1(B, A), k5_relat_1(C, A)) &  (k5_relat_1(k1_valued_1(B, C), A)=k1_valued_1(k5_relat_1(B, A), C) & k5_relat_1(k1_valued_1(B, C), A)=k1_valued_1(B, k5_relat_1(C, A))) ) ) ) ) ) ) ).
fof(t45_rfunct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_valued_0(C)) )  =>  (k5_relat_1(k18_valued_1(B, C), A)=k18_valued_1(k5_relat_1(B, A), k5_relat_1(C, A)) &  (k5_relat_1(k18_valued_1(B, C), A)=k18_valued_1(k5_relat_1(B, A), C) & k5_relat_1(k18_valued_1(B, C), A)=k18_valued_1(B, k5_relat_1(C, A))) ) ) ) ) ) ) ).
fof(t46_rfunct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  =>  (k5_relat_1(k30_valued_1(B), A)=k30_valued_1(k5_relat_1(B, A)) &  (k5_relat_1(k4_rfunct_1(B), A)=k4_rfunct_1(k5_relat_1(B, A)) & k5_relat_1(k54_valued_1(B), A)=k54_valued_1(k5_relat_1(B, A))) ) ) ) ) ).
fof(t47_rfunct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_valued_0(C)) )  =>  (k5_relat_1(k45_valued_1(B, C), A)=k45_valued_1(k5_relat_1(B, A), k5_relat_1(C, A)) &  (k5_relat_1(k45_valued_1(B, C), A)=k45_valued_1(k5_relat_1(B, A), C) & k5_relat_1(k45_valued_1(B, C), A)=k45_valued_1(B, k5_relat_1(C, A))) ) ) ) ) ) ) ).
fof(t48_rfunct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_valued_0(C)) )  =>  (k5_relat_1(k1_rfunct_1(B, C), A)=k1_rfunct_1(k5_relat_1(B, A), k5_relat_1(C, A)) &  (k5_relat_1(k1_rfunct_1(B, C), A)=k1_rfunct_1(k5_relat_1(B, A), C) & k5_relat_1(k1_rfunct_1(B, C), A)=k1_rfunct_1(B, k5_relat_1(C, A))) ) ) ) ) ) ) ).
fof(t49_rfunct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  =>  (! [C] :  (v1_xcmplx_0(C) => k5_relat_1(k24_valued_1(B, C), A)=k24_valued_1(k5_relat_1(B, A), C)) ) ) ) ) ).
fof(t50_rfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( ( (v1_partfun1(B, A) & v1_partfun1(C, A))  => v1_partfun1(k3_valued_1(A, k1_numbers, k1_numbers, B, C), A))  &  ( (v1_partfun1(k3_valued_1(A, k1_numbers, k1_numbers, B, C), A) =>  (v1_partfun1(B, A) & v1_partfun1(C, A)) )  &  ( ( (v1_partfun1(B, A) & v1_partfun1(C, A))  => v1_partfun1(k47_valued_1(A, k1_numbers, k1_numbers, B, C), A))  &  ( (v1_partfun1(k47_valued_1(A, k1_numbers, k1_numbers, B, C), A) =>  (v1_partfun1(B, A) & v1_partfun1(C, A)) )  &  ( ( (v1_partfun1(B, A) & v1_partfun1(C, A))  => v1_partfun1(k20_valued_1(A, k1_numbers, k1_numbers, B, C), A))  &  (v1_partfun1(k20_valued_1(A, k1_numbers, k1_numbers, B, C), A) =>  (v1_partfun1(B, A) & v1_partfun1(C, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_rfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (v1_partfun1(C, A) <=> v1_partfun1(k26_valued_1(A, k1_numbers, C, B), A)) ) ) ) ) ) ) ).
fof(t52_rfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (v1_partfun1(B, A) <=> v1_partfun1(k32_valued_1(A, k1_numbers, B), A)) ) ) ) ) ).
fof(t53_rfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (v1_partfun1(B, A) <=> v1_partfun1(k56_valued_1(A, k1_numbers, B), A)) ) ) ) ) ).
fof(t54_rfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (v1_partfun1(k6_rfunct_1(A, k1_numbers, B), A) <=>  (k8_relset_1(A, k1_numbers, B, k1_tarski(k5_numbers))=k1_xboole_0 & v1_partfun1(B, A)) ) ) ) ) ) ).
fof(t55_rfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (v1_partfun1(B, A) &  (k8_relset_1(A, k1_numbers, C, k1_tarski(k5_numbers))=k1_xboole_0 & v1_partfun1(C, A)) )  <=> v1_partfun1(k3_rfunct_1(A, k1_numbers, B, C), A)) ) ) ) ) ) ) ).
fof(t56_rfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (v1_partfun1(C, A) & v1_partfun1(D, A))  =>  (k1_funct_1(k3_valued_1(A, k1_numbers, k1_numbers, C, D), B)=k2_xcmplx_0(k1_funct_1(C, B), k1_funct_1(D, B)) &  (k1_funct_1(k47_valued_1(A, k1_numbers, k1_numbers, C, D), B)=k6_xcmplx_0(k1_funct_1(C, B), k1_funct_1(D, B)) & k1_funct_1(k20_valued_1(A, k1_numbers, k1_numbers, C, D), B)=k3_xcmplx_0(k1_funct_1(C, B), k1_funct_1(D, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_rfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (v1_partfun1(D, A) => k1_funct_1(k26_valued_1(A, k1_numbers, D, C), B)=k3_xcmplx_0(C, k1_funct_1(D, B))) ) ) ) ) ) ) ) ) ).
fof(t58_rfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (v1_partfun1(C, A) =>  (k1_funct_1(k32_valued_1(A, k1_numbers, C), B)=k4_xcmplx_0(k1_funct_1(C, B)) & k1_funct_1(k56_valued_1(A, k1_numbers, C), B)=k9_complex1(k1_funct_1(C, B))) ) ) ) ) ) ) ) ).
fof(t59_rfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (v1_partfun1(k6_rfunct_1(A, k1_numbers, C), A) => k1_funct_1(k6_rfunct_1(A, k1_numbers, C), B)=k5_xcmplx_0(k1_funct_1(C, B))) ) ) ) ) ) ) ).
fof(t60_rfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (v1_partfun1(C, A) & v1_partfun1(k6_rfunct_1(A, k1_numbers, D), A))  => k1_funct_1(k3_rfunct_1(A, k1_numbers, C, D), B)=k3_xcmplx_0(k1_funct_1(C, B), k5_xcmplx_0(k1_funct_1(D, B)))) ) ) ) ) ) ) ) ) ).
fof(t61_rfunct_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (r2_relset_1(B, k1_numbers, C, k7_rfunct_1(A, B)) <=>  (k1_relset_1(B, C)=B &  (! [D] :  (m1_subset_1(D, B) =>  ( (r2_tarski(D, A) => k1_funct_1(C, D)=1)  &  ( ~ (r2_tarski(D, A))  => k1_funct_1(C, D)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_rfunct_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  => v1_partfun1(k7_rfunct_1(A, B), B)) ) ) ).
fof(t63_rfunct_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (r2_tarski(C, A) <=> k1_funct_1(k7_rfunct_1(A, B), C)=1) ) ) ) ) ) ).
fof(t64_rfunct_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  ( ~ (r2_tarski(C, A))  <=> k1_funct_1(k7_rfunct_1(A, B), C)=k5_numbers) ) ) ) ) ) ).
fof(t65_rfunct_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  (r2_tarski(C, k6_subset_1(B, A)) <=> k1_funct_1(k7_rfunct_1(A, B), C)=k5_numbers) ) ) ) ) ) ).
fof(t66_rfunct_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) => k1_funct_1(k7_rfunct_1(A, A), B)=1) ) ) ) ).
fof(t67_rfunct_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, B) =>  ( ~ (k1_funct_1(k7_rfunct_1(A, B), C)=1)  <=> k1_funct_1(k7_rfunct_1(A, B), C)=k5_numbers) ) ) ) ) ) ).
fof(t68_rfunct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (r1_xboole_0(A, B) => r2_relset_1(C, k1_numbers, k3_valued_1(C, k1_numbers, k1_numbers, k7_rfunct_1(A, C), k7_rfunct_1(B, C)), k7_rfunct_1(k2_xboole_0(A, B), C))) ) ) ) ) ).
fof(t69_rfunct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  => r2_relset_1(C, k1_numbers, k20_valued_1(C, k1_numbers, k1_numbers, k7_rfunct_1(A, C), k7_rfunct_1(B, C)), k7_rfunct_1(k3_xboole_0(A, B), C))) ) ) ) ).
fof(t70_rfunct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_valued_0(B)) )  =>  (v1_seq_2(k5_relat_1(B, A)) <=>  (? [C] :  (v1_xreal_0(C) &  (! [D] :  (r2_hidden(D, k3_xboole_0(A, k9_xtuple_0(B))) => r1_xxreal_0(k1_funct_1(B, D), C)) ) ) ) ) ) ) ) ).
fof(t71_rfunct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_valued_0(B)) )  =>  (v2_seq_2(k5_relat_1(B, A)) <=>  (? [C] :  (v1_xreal_0(C) &  (! [D] :  (r2_hidden(D, k3_xboole_0(A, k9_xtuple_0(B))) => r1_xxreal_0(C, k1_funct_1(B, D))) ) ) ) ) ) ) ) ).
fof(t72_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  =>  (v1_comseq_2(A) <=>  (? [B] :  (v1_xreal_0(B) &  (! [C] :  (r2_hidden(C, k9_xtuple_0(A)) => r1_xxreal_0(k9_complex1(k1_funct_1(A, C)), B)) ) ) ) ) ) ) ).
fof(t73_rfunct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_valued_0(B)) )  =>  (v1_comseq_2(k5_relat_1(B, A)) <=>  (? [C] :  (v1_xreal_0(C) &  (! [D] :  (r2_hidden(D, k3_xboole_0(A, k9_xtuple_0(B))) => r1_xxreal_0(k9_complex1(k1_funct_1(B, D)), C)) ) ) ) ) ) ) ) ).
fof(t74_rfunct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v3_valued_0(C)) )  =>  ( ( (r1_tarski(B, A) & v1_seq_2(k5_relat_1(C, A)))  => v1_seq_2(k5_relat_1(C, B)))  &  ( ( (r1_tarski(B, A) & v2_seq_2(k5_relat_1(C, A)))  => v2_seq_2(k5_relat_1(C, B)))  &  ( (r1_tarski(B, A) & v1_comseq_2(k5_relat_1(C, A)))  => v1_comseq_2(k5_relat_1(C, B))) ) ) ) ) ) ) ).
fof(t75_rfunct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v3_valued_0(C)) )  =>  ( (v1_seq_2(k5_relat_1(C, A)) & v2_seq_2(k5_relat_1(C, B)))  => v1_comseq_2(k5_relat_1(C, k3_xboole_0(A, B)))) ) ) ) ) ).
fof(t76_rfunct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_valued_0(B)) )  =>  (r1_xboole_0(A, k9_xtuple_0(B)) => v1_comseq_2(k5_relat_1(B, A))) ) ) ) ).
fof(t77_rfunct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_valued_0(B)) )  => v1_comseq_2(k5_relat_1(k24_valued_1(B, k5_numbers), A))) ) ) ).
fof(t78_rfunct_1, axiom,  (! [A] :  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v3_valued_0(C)) )  =>  ( ( (v1_seq_2(k5_relat_1(C, A)) & r1_xxreal_0(k5_numbers, B))  => v1_seq_2(k5_relat_1(k24_valued_1(C, B), A)))  &  ( (v1_seq_2(k5_relat_1(C, A)) & r1_xxreal_0(B, k5_numbers))  => v2_seq_2(k5_relat_1(k24_valued_1(C, B), A))) ) ) ) ) ) ) ).
fof(t79_rfunct_1, axiom,  (! [A] :  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v3_valued_0(C)) )  =>  ( ( (v2_seq_2(k5_relat_1(C, A)) & r1_xxreal_0(k5_numbers, B))  => v2_seq_2(k5_relat_1(k24_valued_1(C, B), A)))  &  ( (v2_seq_2(k5_relat_1(C, A)) & r1_xxreal_0(B, k5_numbers))  => v1_seq_2(k5_relat_1(k24_valued_1(C, B), A))) ) ) ) ) ) ) ).
fof(t80_rfunct_1, axiom,  (! [A] :  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v3_valued_0(C)) )  =>  (v1_comseq_2(k5_relat_1(C, A)) => v1_comseq_2(k5_relat_1(k24_valued_1(C, B), A))) ) ) ) ) ) ).
fof(t81_rfunct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_valued_0(B)) )  => v2_seq_2(k5_relat_1(k54_valued_1(B), A))) ) ) ).
fof(t82_rfunct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_valued_0(B)) )  =>  (v1_comseq_2(k5_relat_1(B, A)) =>  (v1_comseq_2(k5_relat_1(k54_valued_1(B), A)) & v1_comseq_2(k5_relat_1(k30_valued_1(B), A))) ) ) ) ) ).
fof(t83_rfunct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v3_valued_0(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v3_valued_0(D)) )  =>  ( ( (v1_seq_2(k5_relat_1(C, A)) & v1_seq_2(k5_relat_1(D, B)))  => v1_seq_2(k5_relat_1(k1_valued_1(C, D), k3_xboole_0(A, B))))  &  ( ( (v2_seq_2(k5_relat_1(C, A)) & v2_seq_2(k5_relat_1(D, B)))  => v2_seq_2(k5_relat_1(k1_valued_1(C, D), k3_xboole_0(A, B))))  &  ( (v1_comseq_2(k5_relat_1(C, A)) & v1_comseq_2(k5_relat_1(D, B)))  => v1_comseq_2(k5_relat_1(k1_valued_1(C, D), k3_xboole_0(A, B)))) ) ) ) ) ) ) ) ) ).
fof(t84_rfunct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v3_valued_0(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v3_valued_0(D)) )  =>  ( (v1_comseq_2(k5_relat_1(C, A)) & v1_comseq_2(k5_relat_1(D, B)))  =>  (v1_comseq_2(k5_relat_1(k18_valued_1(C, D), k3_xboole_0(A, B))) & v1_comseq_2(k5_relat_1(k45_valued_1(C, D), k3_xboole_0(A, B)))) ) ) ) ) ) ) ) ).
fof(t85_rfunct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v3_valued_0(C)) )  =>  ( (v1_seq_2(k5_relat_1(C, A)) & v1_seq_2(k5_relat_1(C, B)))  => v1_seq_2(k5_relat_1(C, k2_xboole_0(A, B)))) ) ) ) ) ).
fof(t86_rfunct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v3_valued_0(C)) )  =>  ( (v2_seq_2(k5_relat_1(C, A)) & v2_seq_2(k5_relat_1(C, B)))  => v2_seq_2(k5_relat_1(C, k2_xboole_0(A, B)))) ) ) ) ) ).
fof(t87_rfunct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v3_valued_0(C)) )  =>  ( (v1_comseq_2(k5_relat_1(C, A)) & v1_comseq_2(k5_relat_1(C, B)))  => v1_comseq_2(k5_relat_1(C, k2_xboole_0(A, B)))) ) ) ) ) ).
fof(t88_rfunct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k1_numbers))))  =>  ( (v3_funct_1(k2_partfun1(C, k1_numbers, D, A)) & v3_funct_1(k2_partfun1(C, k1_numbers, E, B)))  =>  (v3_funct_1(k2_partfun1(C, k1_numbers, k3_valued_1(C, k1_numbers, k1_numbers, D, E), k3_xboole_0(A, B))) &  (v3_funct_1(k2_partfun1(C, k1_numbers, k47_valued_1(C, k1_numbers, k1_numbers, D, E), k3_xboole_0(A, B))) & v3_funct_1(k2_partfun1(C, k1_numbers, k20_valued_1(C, k1_numbers, k1_numbers, D, E), k3_xboole_0(A, B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t89_rfunct_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (v3_funct_1(k2_partfun1(B, k1_numbers, D, A)) => v3_funct_1(k2_partfun1(B, k1_numbers, k26_valued_1(B, k1_numbers, D, C), A))) ) ) ) ) ) ) ) ).
fof(t90_rfunct_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (v3_funct_1(k2_partfun1(B, k1_numbers, C, A)) => v3_funct_1(k2_partfun1(B, k1_numbers, k32_valued_1(B, k1_numbers, C), A))) ) ) ) ) ) ).
fof(t91_rfunct_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (v3_funct_1(k2_partfun1(B, k1_numbers, C, A)) => v3_funct_1(k2_partfun1(B, k1_numbers, k56_valued_1(B, k1_numbers, C), A))) ) ) ) ) ) ).
fof(t92_rfunct_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (v3_funct_1(k2_partfun1(B, k1_numbers, C, A)) =>  ( (! [D] :  (v1_xreal_0(D) => v1_comseq_2(k2_partfun1(B, k1_numbers, k26_valued_1(B, k1_numbers, C, D), A))) )  &  (v1_comseq_2(k2_partfun1(B, k1_numbers, k32_valued_1(B, k1_numbers, C), A)) & v1_comseq_2(k2_partfun1(B, k1_numbers, k56_valued_1(B, k1_numbers, C), A))) ) ) ) ) ) ) ) ).
fof(t93_rfunct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k1_numbers))))  =>  ( ( (v1_seq_2(k2_partfun1(C, k1_numbers, D, A)) & v3_funct_1(k2_partfun1(C, k1_numbers, E, B)))  => v1_seq_2(k2_partfun1(C, k1_numbers, k3_valued_1(C, k1_numbers, k1_numbers, D, E), k3_xboole_0(A, B))))  &  ( ( (v2_seq_2(k2_partfun1(C, k1_numbers, D, A)) & v3_funct_1(k2_partfun1(C, k1_numbers, E, B)))  => v2_seq_2(k2_partfun1(C, k1_numbers, k3_valued_1(C, k1_numbers, k1_numbers, D, E), k3_xboole_0(A, B))))  &  ( (v1_comseq_2(k2_partfun1(C, k1_numbers, D, A)) & v3_funct_1(k2_partfun1(C, k1_numbers, E, B)))  => v1_comseq_2(k2_partfun1(C, k1_numbers, k3_valued_1(C, k1_numbers, k1_numbers, D, E), k3_xboole_0(A, B)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t94_rfunct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, k1_numbers))))  =>  ( ( (v1_seq_2(k2_partfun1(C, k1_numbers, D, A)) & v3_funct_1(k2_partfun1(C, k1_numbers, E, B)))  => v1_seq_2(k2_partfun1(C, k1_numbers, k47_valued_1(C, k1_numbers, k1_numbers, D, E), k3_xboole_0(A, B))))  &  ( ( (v2_seq_2(k2_partfun1(C, k1_numbers, D, A)) & v3_funct_1(k2_partfun1(C, k1_numbers, E, B)))  => v2_seq_2(k2_partfun1(C, k1_numbers, k47_valued_1(C, k1_numbers, k1_numbers, D, E), k3_xboole_0(A, B))))  &  ( (v1_comseq_2(k2_partfun1(C, k1_numbers, D, A)) & v3_funct_1(k2_partfun1(C, k1_numbers, E, B)))  =>  (v1_comseq_2(k2_partfun1(C, k1_numbers, k47_valued_1(C, k1_numbers, k1_numbers, D, E), k3_xboole_0(A, B))) &  (v1_comseq_2(k2_partfun1(C, k1_numbers, k47_valued_1(C, k1_numbers, k1_numbers, E, D), k3_xboole_0(A, B))) & v1_comseq_2(k2_partfun1(C, k1_numbers, k20_valued_1(C, k1_numbers, k1_numbers, D, E), k3_xboole_0(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_rfunct_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) ) )  =>  (v1_relat_1(k1_rfunct_1(A, B)) & v1_funct_1(k1_rfunct_1(A, B))) ) ) ).
fof(dt_k2_rfunct_1, axiom,  (! [A, B, C, D] :  ( (v1_membered(B) &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (v1_funct_1(k2_rfunct_1(A, B, C, D)) & m1_subset_1(k2_rfunct_1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) ) ) ).
fof(redefinition_k2_rfunct_1, axiom,  (! [A, B, C, D] :  ( (v1_membered(B) &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  => k2_rfunct_1(A, B, C, D)=k1_rfunct_1(C, D)) ) ).
fof(dt_k3_rfunct_1, axiom,  (! [A, B, C, D] :  ( (v3_membered(B) &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (v1_funct_1(k3_rfunct_1(A, B, C, D)) & m1_subset_1(k3_rfunct_1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ).
fof(redefinition_k3_rfunct_1, axiom,  (! [A, B, C, D] :  ( (v3_membered(B) &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  => k3_rfunct_1(A, B, C, D)=k1_rfunct_1(C, D)) ) ).
fof(dt_k4_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (v1_relat_1(k4_rfunct_1(A)) & v1_funct_1(k4_rfunct_1(A))) ) ) ).
fof(dt_k5_rfunct_1, axiom,  (! [A, B, C] :  ( (v1_membered(B) &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v1_funct_1(k5_rfunct_1(A, B, C)) & m1_subset_1(k5_rfunct_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) ) ) ).
fof(redefinition_k5_rfunct_1, axiom,  (! [A, B, C] :  ( (v1_membered(B) &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  => k5_rfunct_1(A, B, C)=k4_rfunct_1(C)) ) ).
fof(dt_k6_rfunct_1, axiom,  (! [A, B, C] :  ( (v3_membered(B) &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v1_funct_1(k6_rfunct_1(A, B, C)) & m1_subset_1(k6_rfunct_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ).
fof(redefinition_k6_rfunct_1, axiom,  (! [A, B, C] :  ( (v3_membered(B) &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  => k6_rfunct_1(A, B, C)=k4_rfunct_1(C)) ) ).
fof(dt_k7_rfunct_1, axiom,  (! [A, B] :  (v1_funct_1(k7_rfunct_1(A, B)) & m1_subset_1(k7_rfunct_1(A, B), k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) ) ).
fof(redefinition_k7_rfunct_1, axiom,  (! [A, B] : k7_rfunct_1(A, B)=k4_funct_3(A, B)) ).
fof(fc1_rfunct_2, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v2_funct_1(B)) )  =>  (v1_relat_1(k5_relat_1(B, A)) & v2_funct_1(k5_relat_1(B, A))) ) ) ).
fof(cc1_rfunct_2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))) =>  ( (v1_funct_1(A) & v7_valued_0(A))  =>  (v1_funct_1(A) & v1_rfunct_2(A)) ) ) ) ).
fof(cc2_rfunct_2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))) =>  ( (v1_funct_1(A) & v8_valued_0(A))  =>  (v1_funct_1(A) & v1_rfunct_2(A)) ) ) ) ).
fof(cc3_rfunct_2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))) =>  ( (v1_funct_1(A) &  ~ (v1_rfunct_2(A)) )  =>  (v1_funct_1(A) &  ( ~ (v7_valued_0(A))  &  ~ (v8_valued_0(A)) ) ) ) ) ) ).
fof(cc4_rfunct_2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))) =>  ( (v1_funct_1(A) &  (v7_valued_0(A) & v8_valued_0(A)) )  =>  (v1_funct_1(A) & v3_funct_1(A)) ) ) ) ).
fof(cc5_rfunct_2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))) =>  ( (v1_funct_1(A) & v3_funct_1(A))  =>  (v1_funct_1(A) &  (v7_valued_0(A) & v8_valued_0(A)) ) ) ) ) ).
fof(rc1_rfunct_2, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))) &  (v1_relat_1(A) &  (v4_relat_1(A, k1_numbers) &  (v5_relat_1(A, k1_numbers) &  (v1_funct_1(A) &  (v1_zfmisc_1(A) &  (v1_valued_0(A) &  (v2_valued_0(A) & v3_valued_0(A)) ) ) ) ) ) ) ) ) ).
fof(fc2_rfunct_2, axiom,  (! [A, B] :  ( (v1_funct_1(A) &  (v5_valued_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (v1_funct_1(k5_relat_1(A, B)) & v5_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc3_rfunct_2, axiom,  (! [A, B] :  ( (v1_funct_1(A) &  (v6_valued_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (v1_funct_1(k5_relat_1(A, B)) & v6_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc4_rfunct_2, axiom,  (! [A, B] :  ( (v1_funct_1(A) &  (v7_valued_0(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (v1_funct_1(k5_relat_1(A, B)) & v7_valued_0(k5_relat_1(A, B))) ) ) ).
fof(t1_rfunct_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (r2_relset_1(k4_ordinal1, k1_numbers, A, k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, B, C)) <=>  (! [D] :  (v7_ordinal1(D) => k1_funct_1(A, D)=k6_xcmplx_0(k1_funct_1(B, D), k1_funct_1(C, D))) ) ) ) ) ) ) ) ) ).
fof(t2_rfunct_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_ordinal1) &  (v5_valued_0(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) )  =>  (r2_relset_1(k4_ordinal1, k1_numbers, k2_valued_0(k1_numbers, C, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B)), k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k2_valued_0(k1_numbers, C, A), k2_valued_0(k1_numbers, C, B))) &  (r2_relset_1(k4_ordinal1, k1_numbers, k2_valued_0(k1_numbers, C, k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B)), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k2_valued_0(k1_numbers, C, A), k2_valued_0(k1_numbers, C, B))) & r2_relset_1(k4_ordinal1, k1_numbers, k2_valued_0(k1_numbers, C, k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B)), k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k2_valued_0(k1_numbers, C, A), k2_valued_0(k1_numbers, C, B)))) ) ) ) ) ) ) ) ).
fof(t3_rfunct_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_ordinal1) &  (v5_valued_0(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) )  => r2_relset_1(k4_ordinal1, k1_numbers, k2_valued_0(k1_numbers, C, k26_valued_1(k4_ordinal1, k1_numbers, B, A)), k26_valued_1(k4_ordinal1, k1_numbers, k2_valued_0(k1_numbers, C, B), A))) ) ) ) ) ) ).
fof(t4_rfunct_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_ordinal1) &  (v5_valued_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) )  =>  (r2_relset_1(k4_ordinal1, k1_numbers, k2_valued_0(k1_numbers, B, k32_valued_1(k4_ordinal1, k1_numbers, A)), k32_valued_1(k4_ordinal1, k1_numbers, k2_valued_0(k1_numbers, B, A))) & r2_relset_1(k4_ordinal1, k1_numbers, k2_valued_0(k1_numbers, B, k56_valued_1(k4_ordinal1, k1_numbers, A)), k56_valued_1(k4_ordinal1, k1_numbers, k2_valued_0(k1_numbers, B, A)))) ) ) ) ) ).
fof(t5_rfunct_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k4_ordinal1) &  (v5_valued_0(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) )  => r2_relset_1(k4_ordinal1, k1_numbers, k37_valued_1(k4_ordinal1, k1_numbers, k2_valued_0(k1_numbers, B, A)), k2_valued_0(k1_numbers, B, k37_valued_1(k4_ordinal1, k1_numbers, A)))) ) ) ) ).
fof(t6_rfunct_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k4_ordinal1) &  (v5_valued_0(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) ) )  => r2_relset_1(k4_ordinal1, k1_numbers, k2_valued_0(k1_numbers, C, k52_valued_1(k4_ordinal1, k1_numbers, k1_numbers, B, A)), k52_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k2_valued_0(k1_numbers, C, B), k2_valued_0(k1_numbers, C, A)))) ) ) ) ) ) ).
fof(t7_rfunct_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_comseq_2(A) &  (! [B] :  (v7_ordinal1(B) => r1_xxreal_0(k1_funct_1(A, B), k5_numbers)) ) )  => r1_xxreal_0(k1_seq_2(A), k5_numbers)) ) ) ).
fof(t8_rfunct_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  =>  (r1_tarski(k2_relset_1(A, D), k9_subset_1(A, k1_relset_1(A, B), k1_relset_1(A, C))) =>  (r2_relset_1(k4_ordinal1, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, A, D, k3_valued_1(A, k1_numbers, k1_numbers, B, C)), k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, A, D, B), k8_funct_2(k4_ordinal1, k1_numbers, A, D, C))) &  (r2_relset_1(k4_ordinal1, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, A, D, k47_valued_1(A, k1_numbers, k1_numbers, B, C)), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, A, D, B), k8_funct_2(k4_ordinal1, k1_numbers, A, D, C))) & r2_relset_1(k4_ordinal1, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, A, D, k20_valued_1(A, k1_numbers, k1_numbers, B, C)), k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, A, D, B), k8_funct_2(k4_ordinal1, k1_numbers, A, D, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_rfunct_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  =>  (! [D] :  (v1_xreal_0(D) =>  (r1_tarski(k2_relset_1(A, C), k1_relset_1(A, B)) => r2_relset_1(k4_ordinal1, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, A, C, k26_valued_1(A, k1_numbers, B, D)), k26_valued_1(k4_ordinal1, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, A, C, B), D))) ) ) ) ) ) ) ) ) ).
fof(t10_rfunct_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  =>  (r1_tarski(k2_relset_1(A, C), k1_relset_1(A, B)) =>  (r2_relset_1(k4_ordinal1, k1_numbers, k56_valued_1(k4_ordinal1, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, A, C, B)), k8_funct_2(k4_ordinal1, k1_numbers, A, C, k56_valued_1(A, k1_numbers, B))) & r2_relset_1(k4_ordinal1, k1_numbers, k32_valued_1(k4_ordinal1, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, A, C, B)), k8_funct_2(k4_ordinal1, k1_numbers, A, C, k32_valued_1(A, k1_numbers, B)))) ) ) ) ) ) ) ) ).
fof(t11_rfunct_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  =>  (r1_tarski(k2_relset_1(A, C), k1_relset_1(A, k6_rfunct_1(A, k1_numbers, B))) => v9_ordinal1(k8_funct_2(k4_ordinal1, k1_numbers, A, C, B))) ) ) ) ) ) ) ).
fof(t12_rfunct_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  =>  (r1_tarski(k2_relset_1(A, C), k1_relset_1(A, k6_rfunct_1(A, k1_numbers, B))) => r2_relset_1(k4_ordinal1, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, A, C, k6_rfunct_1(A, k1_numbers, B)), k37_valued_1(k4_ordinal1, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, A, C, B)))) ) ) ) ) ) ) ).
fof(t13_rfunct_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  =>  ( (v1_partfun1(B, A) & v1_partfun1(C, A))  =>  (r2_relset_1(k4_ordinal1, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, A, D, k3_valued_1(A, k1_numbers, k1_numbers, B, C)), k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, A, D, B), k8_funct_2(k4_ordinal1, k1_numbers, A, D, C))) &  (r2_relset_1(k4_ordinal1, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, A, D, k47_valued_1(A, k1_numbers, k1_numbers, B, C)), k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, A, D, B), k8_funct_2(k4_ordinal1, k1_numbers, A, D, C))) & r2_relset_1(k4_ordinal1, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, A, D, k20_valued_1(A, k1_numbers, k1_numbers, B, C)), k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, A, D, B), k8_funct_2(k4_ordinal1, k1_numbers, A, D, C)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_rfunct_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (v1_partfun1(C, B) => r2_relset_1(k4_ordinal1, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, B, D, k26_valued_1(B, k1_numbers, C, A)), k26_valued_1(k4_ordinal1, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, B, D, C), A))) ) ) ) ) ) ) ) ) ).
fof(t15_rfunct_2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  (r1_tarski(k2_relset_1(B, D), k1_relset_1(B, k2_partfun1(B, k1_numbers, C, A))) => r2_relset_1(k4_ordinal1, k1_numbers, k56_valued_1(k4_ordinal1, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, B, D, k2_partfun1(B, k1_numbers, C, A))), k8_funct_2(k4_ordinal1, k1_numbers, B, D, k2_partfun1(B, k1_numbers, k56_valued_1(B, k1_numbers, C), A)))) ) ) ) ) ) ) ) ).
fof(t16_rfunct_2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  =>  ( (r1_tarski(k2_relset_1(B, D), k1_relset_1(B, k2_partfun1(B, k1_numbers, C, A))) & k8_relset_1(B, k1_numbers, C, k1_seq_4(k5_numbers))=k1_xboole_0)  => r2_relset_1(k4_ordinal1, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, B, D, k2_partfun1(B, k1_numbers, k6_rfunct_1(B, k1_numbers, C), A)), k37_valued_1(k4_ordinal1, k1_numbers, k8_funct_2(k4_ordinal1, k1_numbers, B, D, k2_partfun1(B, k1_numbers, C, A))))) ) ) ) ) ) ) ) ).
fof(t17_rfunct_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v2_funct_1(B)) )  => k2_funct_1(k5_relat_1(B, A))=k5_relat_1(k2_funct_1(B), k7_relat_1(B, A))) ) ) ).
fof(t18_rfunct_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (v5_xxreal_2(k2_relset_1(k1_numbers, B)) & k2_seq_4(k2_relset_1(k1_numbers, B))=k3_seq_4(k2_relset_1(k1_numbers, B)))  => v3_funct_1(B)) ) ) ) ) ).
fof(t19_rfunct_2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  ( (v5_xxreal_2(k7_relset_1(B, k1_numbers, C, A)) & k2_seq_4(k7_relset_1(B, k1_numbers, C, A))=k3_seq_4(k7_relset_1(B, k1_numbers, C, A)))  => v3_funct_1(k2_partfun1(B, k1_numbers, C, A))) ) ) ) ) ) ).
fof(d1_rfunct_2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v5_valued_0(A) <=>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( (r2_hidden(B, k1_relset_1(k1_numbers, A)) &  (r2_hidden(C, k1_relset_1(k1_numbers, A)) &  ( ~ (r1_xxreal_0(C, B))  & r1_xxreal_0(k1_funct_1(A, C), k1_funct_1(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_rfunct_2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v6_valued_0(A) <=>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ~ ( (r2_hidden(B, k1_relset_1(k1_numbers, A)) &  (r2_hidden(C, k1_relset_1(k1_numbers, A)) &  ( ~ (r1_xxreal_0(C, B))  & r1_xxreal_0(k1_funct_1(A, B), k1_funct_1(A, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_rfunct_2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v7_valued_0(A) <=>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r2_hidden(B, k1_relset_1(k1_numbers, A)) & r2_hidden(C, k1_relset_1(k1_numbers, A)))  =>  (r1_xxreal_0(C, B) | r1_xxreal_0(k1_funct_1(A, B), k1_funct_1(A, C))) ) ) ) ) ) ) ) ) ).
fof(d4_rfunct_2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v8_valued_0(A) <=>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r2_hidden(B, k1_relset_1(k1_numbers, A)) & r2_hidden(C, k1_relset_1(k1_numbers, A)))  =>  (r1_xxreal_0(C, B) | r1_xxreal_0(k1_funct_1(A, C), k1_funct_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(t20_rfunct_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, A)) <=>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( (r2_hidden(C, k9_subset_1(k1_numbers, A, k1_relset_1(k1_numbers, B))) &  (r2_hidden(D, k9_subset_1(k1_numbers, A, k1_relset_1(k1_numbers, B))) &  ( ~ (r1_xxreal_0(D, C))  & r1_xxreal_0(k1_funct_1(B, D), k1_funct_1(B, C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_rfunct_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, A)) <=>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( (r2_hidden(C, k9_subset_1(k1_numbers, A, k1_relset_1(k1_numbers, B))) &  (r2_hidden(D, k9_subset_1(k1_numbers, A, k1_relset_1(k1_numbers, B))) &  ( ~ (r1_xxreal_0(D, C))  & r1_xxreal_0(k1_funct_1(B, C), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_rfunct_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v7_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, A)) <=>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r2_hidden(C, k9_subset_1(k1_numbers, A, k1_relset_1(k1_numbers, B))) & r2_hidden(D, k9_subset_1(k1_numbers, A, k1_relset_1(k1_numbers, B))))  =>  (r1_xxreal_0(D, C) | r1_xxreal_0(k1_funct_1(B, C), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t23_rfunct_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v8_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, A)) <=>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r2_hidden(C, k9_subset_1(k1_numbers, A, k1_relset_1(k1_numbers, B))) & r2_hidden(D, k9_subset_1(k1_numbers, A, k1_relset_1(k1_numbers, B))))  =>  (r1_xxreal_0(D, C) | r1_xxreal_0(k1_funct_1(B, D), k1_funct_1(B, C))) ) ) ) ) ) ) ) ) ) ).
fof(d5_rfunct_2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v1_rfunct_2(A) <=>  (v7_valued_0(A) | v8_valued_0(A)) ) ) ) ).
fof(t24_rfunct_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v7_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, A)) <=>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r2_hidden(C, k9_subset_1(k1_numbers, A, k1_relset_1(k1_numbers, B))) &  (r2_hidden(D, k9_subset_1(k1_numbers, A, k1_relset_1(k1_numbers, B))) & r1_xxreal_0(C, D)) )  => r1_xxreal_0(k1_funct_1(B, C), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ).
fof(t25_rfunct_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v8_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, A)) <=>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r2_hidden(C, k9_subset_1(k1_numbers, A, k1_relset_1(k1_numbers, B))) &  (r2_hidden(D, k9_subset_1(k1_numbers, A, k1_relset_1(k1_numbers, B))) & r1_xxreal_0(C, D)) )  => r1_xxreal_0(k1_funct_1(B, D), k1_funct_1(B, C))) ) ) ) ) ) ) ) ) ).
fof(t26_rfunct_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_xboole_0(A, k1_relset_1(k1_numbers, B)) =>  (v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, A)) &  (v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, A)) &  (v7_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, A)) &  (v8_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, A)) & v1_rfunct_2(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) ) ) ) ) ).
fof(t27_rfunct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v7_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, B)) & v8_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, A)))  => v3_funct_1(k2_partfun1(k1_numbers, k1_numbers, C, k3_xboole_0(B, A)))) ) ) ) ) ).
fof(t28_rfunct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, B) & v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, B)))  => v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, A))) ) ) ) ) ).
fof(t29_rfunct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, B) & v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, B)))  => v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, A))) ) ) ) ) ).
fof(t30_rfunct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, B) & v7_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, B)))  => v7_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, A))) ) ) ) ) ).
fof(t31_rfunct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, B) & v8_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, B)))  => v8_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, A))) ) ) ) ) ).
fof(t32_rfunct_2, axiom,  (! [A] :  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, A)) =>  (r1_xxreal_0(B, k5_numbers) | v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, C, B), A))) )  &  ( (B=k5_numbers => v3_funct_1(k2_partfun1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, C, B), A)))  &  (v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, A)) =>  (r1_xxreal_0(k5_numbers, B) | v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, C, B), A))) ) ) ) ) ) ) ) ) ).
fof(t33_rfunct_2, axiom,  (! [A] :  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, A)) =>  (r1_xxreal_0(B, k5_numbers) | v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, C, B), A))) )  &  (v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, A)) =>  (r1_xxreal_0(k5_numbers, B) | v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, C, B), A))) ) ) ) ) ) ) ) ).
fof(t34_rfunct_2, axiom,  (! [A] :  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( ( (v7_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, A)) & r1_xxreal_0(k5_numbers, B))  => v7_valued_0(k2_partfun1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, C, B), A)))  &  ( (v7_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, A)) & r1_xxreal_0(B, k5_numbers))  => v8_valued_0(k2_partfun1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, C, B), A))) ) ) ) ) ) ) ).
fof(t35_rfunct_2, axiom,  (! [A] :  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( ( (v8_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, A)) & r1_xxreal_0(k5_numbers, B))  => v8_valued_0(k2_partfun1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, C, B), A)))  &  ( (v8_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, A)) & r1_xxreal_0(B, k5_numbers))  => v7_valued_0(k2_partfun1(k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, C, B), A))) ) ) ) ) ) ) ).
fof(t36_rfunct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r2_hidden(C, k9_subset_1(k1_numbers, k3_xboole_0(A, B), k1_relset_1(k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, D, E)))) =>  (r2_hidden(C, k9_subset_1(k1_numbers, A, k1_relset_1(k1_numbers, D))) & r2_hidden(C, k9_subset_1(k1_numbers, B, k1_relset_1(k1_numbers, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t37_rfunct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( ( (v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, A)) & v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, D, B)))  => v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k3_xboole_0(A, B))))  &  ( ( (v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, A)) & v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, D, B)))  => v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k3_xboole_0(A, B))))  &  ( ( (v7_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, A)) & v7_valued_0(k2_partfun1(k1_numbers, k1_numbers, D, B)))  => v7_valued_0(k2_partfun1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k3_xboole_0(A, B))))  &  ( (v8_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, A)) & v8_valued_0(k2_partfun1(k1_numbers, k1_numbers, D, B)))  => v8_valued_0(k2_partfun1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k3_xboole_0(A, B)))) ) ) ) ) ) ) ) ) ) ).
fof(t38_rfunct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( ( (v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, A)) & v3_funct_1(k2_partfun1(k1_numbers, k1_numbers, D, B)))  => v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k3_xboole_0(A, B))))  &  ( (v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, A)) & v3_funct_1(k2_partfun1(k1_numbers, k1_numbers, D, B)))  => v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k3_xboole_0(A, B)))) ) ) ) ) ) ) ) ).
fof(t39_rfunct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, A)) & v7_valued_0(k2_partfun1(k1_numbers, k1_numbers, D, B)))  => v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k3_xboole_0(A, B)))) ) ) ) ) ) ) ).
fof(t40_rfunct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v8_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, A)) & v3_funct_1(k2_partfun1(k1_numbers, k1_numbers, D, B)))  => v8_valued_0(k2_partfun1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k3_xboole_0(A, B)))) ) ) ) ) ) ) ).
fof(t41_rfunct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, A)) & v8_valued_0(k2_partfun1(k1_numbers, k1_numbers, D, B)))  => v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k3_xboole_0(A, B)))) ) ) ) ) ) ) ).
fof(t42_rfunct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v7_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, A)) & v3_funct_1(k2_partfun1(k1_numbers, k1_numbers, D, B)))  => v7_valued_0(k2_partfun1(k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k3_xboole_0(A, B)))) ) ) ) ) ) ) ).
fof(t43_rfunct_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  => v8_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k1_tarski(A)))) ) ) ).
fof(t44_rfunct_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  => v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k1_tarski(A)))) ) ) ).
fof(t45_rfunct_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  => v7_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k1_tarski(A)))) ) ) ).
fof(t46_rfunct_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  => v8_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, k1_tarski(A)))) ) ) ).
fof(t47_rfunct_2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) => v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, A), A))) ) ).
fof(t48_rfunct_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, A)) => v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, B), A))) ) ) ) ).
fof(t49_rfunct_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v7_valued_0(k2_partfun1(k1_numbers, k1_numbers, B, A)) => v8_valued_0(k2_partfun1(k1_numbers, k1_numbers, k32_valued_1(k1_numbers, k1_numbers, B), A))) ) ) ) ).
fof(t50_rfunct_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, k1_rcomp_1(B, A))) | v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, k1_rcomp_1(B, A))))  => v2_funct_1(k2_partfun1(k1_numbers, k1_numbers, C, k1_rcomp_1(B, A)))) ) ) ) ) ) ) ).
fof(t51_rfunct_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v2_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, k1_rcomp_1(B, A))) => v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, k2_partfun1(k1_numbers, k1_numbers, C, k1_rcomp_1(B, A))), k7_relset_1(k1_numbers, k1_numbers, C, k1_rcomp_1(B, A))))) ) ) ) ) ) ) ).
fof(t52_rfunct_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v2_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, k1_rcomp_1(B, A))) => v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, k2_partfun1(k1_numbers, k1_numbers, C, k1_rcomp_1(B, A))), k7_relset_1(k1_numbers, k1_numbers, C, k1_rcomp_1(B, A))))) ) ) ) ) ) ) ).
fof(rc1_rfunct_3, axiom,  (! [A, B] :  (? [C] :  (m1_rfunct_3(C, A, B) &  ~ (v1_xboole_0(C)) ) ) ) ).
fof(cc1_rfunct_3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & v3_membered(B))  =>  (! [C] :  (m1_subset_1(C, k3_rfunct_3(A, B)) => v3_valued_0(C)) ) ) ) ).
fof(fc1_rfunct_3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_funct_1(k18_rfunct_3(A, B)) & v1_finset_1(k18_rfunct_3(A, B))) ) ) ).
fof(fc2_rfunct_3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) )  =>  (v1_funct_1(k19_rfunct_3(A, B)) & v1_finset_1(k19_rfunct_3(A, B))) ) ) ).
fof(d1_rfunct_3, axiom,  (! [A] :  (v1_xreal_0(A) => k1_rfunct_3(A)=k4_xxreal_0(A, k5_numbers)) ) ).
fof(d2_rfunct_3, axiom,  (! [A] :  (v1_xreal_0(A) => k2_rfunct_3(A)=k4_xxreal_0(k4_xcmplx_0(A), k5_numbers)) ) ).
fof(t1_rfunct_3, axiom,  (! [A] :  (v1_xreal_0(A) => A=k6_xcmplx_0(k1_rfunct_3(A), k2_rfunct_3(A))) ) ).
fof(t2_rfunct_3, axiom,  (! [A] :  (v1_xreal_0(A) => k9_complex1(A)=k2_xcmplx_0(k1_rfunct_3(A), k2_rfunct_3(A))) ) ).
fof(t3_rfunct_3, axiom,  (! [A] :  (v1_xreal_0(A) => k3_xcmplx_0(2, k1_rfunct_3(A))=k2_xcmplx_0(A, k9_complex1(A))) ) ).
fof(t4_rfunct_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(k5_numbers, A) => k1_rfunct_3(k3_xcmplx_0(A, B))=k3_xcmplx_0(A, k1_rfunct_3(B))) ) ) ) ) ).
fof(t5_rfunct_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => r1_xxreal_0(k1_rfunct_3(k2_xcmplx_0(A, B)), k2_xcmplx_0(k1_rfunct_3(A), k1_rfunct_3(B)))) ) ) ) ).
fof(t6_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( ~ (C=k5_numbers)  => k8_relset_1(A, k1_numbers, B, k1_tarski(k7_xcmplx_0(D, C)))=k8_relset_1(A, k1_numbers, k26_valued_1(A, k1_numbers, B, C), k1_tarski(D))) ) ) ) ) ) ) ) ) ).
fof(t7_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  => k8_relset_1(A, k1_numbers, k26_valued_1(A, k1_numbers, B, k5_numbers), k1_tarski(k5_numbers))=k1_relset_1(A, B)) ) ) ) ).
fof(t8_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  => k8_relset_1(A, k1_numbers, k56_valued_1(A, k1_numbers, B), k1_tarski(C))=k8_relset_1(A, k1_numbers, B, k2_tarski(k4_xcmplx_0(C), C))) ) ) ) ) ) ) ).
fof(t9_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  => k8_relset_1(A, k1_numbers, k56_valued_1(A, k1_numbers, B), k1_tarski(k5_numbers))=k8_relset_1(A, k1_numbers, B, k1_tarski(k5_numbers))) ) ) ) ).
fof(t10_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(k5_numbers, C))  => k8_relset_1(A, k1_numbers, k56_valued_1(A, k1_numbers, B), k1_tarski(C))=k1_xboole_0) ) ) ) ) ) ) ).
fof(t11_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (! [E] :  (v1_xreal_0(E) =>  ( ~ (E=k5_numbers)  =>  (r2_classes1(C, D) <=> r2_classes1(k26_valued_1(A, k1_numbers, C, E), k26_valued_1(B, k1_numbers, D, E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (r2_classes1(C, D) <=> r2_classes1(k32_valued_1(A, k1_numbers, C), k32_valued_1(B, k1_numbers, D))) ) ) ) ) ) ) ) ) ).
fof(t13_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (r2_classes1(C, D) => r2_classes1(k56_valued_1(A, k1_numbers, C), k56_valued_1(B, k1_numbers, D))) ) ) ) ) ) ) ) ) ).
fof(d3_rfunct_3, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_rfunct_3(C, A, B) <=>  (! [D] :  (m1_subset_1(D, C) =>  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ) ) ).
fof(d4_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k3_rfunct_3(A, k1_numbers), k3_rfunct_3(A, k1_numbers)), k3_rfunct_3(A, k1_numbers)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rfunct_3(A, k1_numbers), k3_rfunct_3(A, k1_numbers)), k3_rfunct_3(A, k1_numbers))))) )  =>  (B=k13_rfunct_3(A) <=>  (! [C] :  (m2_rfunct_3(C, A, k1_numbers, k3_rfunct_3(A, k1_numbers)) =>  (! [D] :  (m2_rfunct_3(D, A, k1_numbers, k3_rfunct_3(A, k1_numbers)) => k4_binop_1(k3_rfunct_3(A, k1_numbers), B, C, D)=k5_rfunct_3(A, k1_numbers, C, D)) ) ) ) ) ) ) ) ) ).
fof(t14_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => v1_binop_1(k13_rfunct_3(A), k3_rfunct_3(A, k1_numbers))) ) ).
fof(t15_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => v2_binop_1(k13_rfunct_3(A), k3_rfunct_3(A, k1_numbers))) ) ).
fof(t16_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => r3_binop_1(k3_rfunct_3(A, k1_numbers), k7_funcop_1(k2_subset_1(A), k5_numbers), k13_rfunct_3(A))) ) ).
fof(t17_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k3_binop_1(k3_rfunct_3(A, k1_numbers), k13_rfunct_3(A))=k7_funcop_1(k2_subset_1(A), k5_numbers)) ) ).
fof(t18_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => v1_setwiseo(k13_rfunct_3(A), k3_rfunct_3(A, k1_numbers))) ) ).
fof(d5_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, k3_rfunct_3(A, k1_numbers)) => k14_rfunct_3(A, B)=k1_finsop_1(k3_rfunct_3(A, k1_numbers), B, k13_rfunct_3(A))) ) ) ) ).
fof(t19_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k14_rfunct_3(A, k6_finseq_1(k3_rfunct_3(A, k1_numbers)))=k7_funcop_1(k2_subset_1(A), k5_numbers)) ) ).
fof(t20_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, k3_rfunct_3(A, k1_numbers)) =>  (! [C] :  (m2_rfunct_3(C, A, k1_numbers, k3_rfunct_3(A, k1_numbers)) => r2_relset_1(A, k1_numbers, k14_rfunct_3(A, k8_finseq_1(k3_rfunct_3(A, k1_numbers), B, k12_finseq_1(k3_rfunct_3(A, k1_numbers), C))), k5_rfunct_3(A, k1_numbers, k14_rfunct_3(A, B), C))) ) ) ) ) ) ).
fof(t21_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, k3_rfunct_3(A, k1_numbers)) =>  (! [C] :  (m2_finseq_1(C, k3_rfunct_3(A, k1_numbers)) => r2_relset_1(A, k1_numbers, k14_rfunct_3(A, k8_finseq_1(k3_rfunct_3(A, k1_numbers), B, C)), k5_rfunct_3(A, k1_numbers, k14_rfunct_3(A, B), k14_rfunct_3(A, C)))) ) ) ) ) ) ).
fof(t22_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, k3_rfunct_3(A, k1_numbers)) =>  (! [C] :  (m2_rfunct_3(C, A, k1_numbers, k3_rfunct_3(A, k1_numbers)) => r2_relset_1(A, k1_numbers, k14_rfunct_3(A, k8_finseq_1(k3_rfunct_3(A, k1_numbers), k12_finseq_1(k3_rfunct_3(A, k1_numbers), C), B)), k5_rfunct_3(A, k1_numbers, C, k14_rfunct_3(A, B)))) ) ) ) ) ) ).
fof(t23_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_rfunct_3(B, A, k1_numbers, k3_rfunct_3(A, k1_numbers)) =>  (! [C] :  (m2_rfunct_3(C, A, k1_numbers, k3_rfunct_3(A, k1_numbers)) => r2_relset_1(A, k1_numbers, k14_rfunct_3(A, k2_finseq_4(k3_rfunct_3(A, k1_numbers), B, C)), k5_rfunct_3(A, k1_numbers, B, C))) ) ) ) ) ) ).
fof(t24_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_rfunct_3(B, A, k1_numbers, k3_rfunct_3(A, k1_numbers)) =>  (! [C] :  (m2_rfunct_3(C, A, k1_numbers, k3_rfunct_3(A, k1_numbers)) =>  (! [D] :  (m2_rfunct_3(D, A, k1_numbers, k3_rfunct_3(A, k1_numbers)) => r2_relset_1(A, k1_numbers, k14_rfunct_3(A, k3_finseq_4(k3_rfunct_3(A, k1_numbers), B, C, D)), k5_rfunct_3(A, k1_numbers, k5_rfunct_3(A, k1_numbers, B, C), D))) ) ) ) ) ) ) ) ).
fof(t25_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, k3_rfunct_3(A, k1_numbers)) =>  (! [C] :  (m2_finseq_1(C, k3_rfunct_3(A, k1_numbers)) =>  (r2_classes1(B, C) => r2_relset_1(A, k1_numbers, k14_rfunct_3(A, B), k14_rfunct_3(A, C))) ) ) ) ) ) ) ).
fof(d6_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (m2_finseq_1(C, k3_rfunct_3(A, k1_numbers)) =>  (C=k15_rfunct_3(A, B) <=>  (k3_finseq_1(C)=k3_finseq_1(B) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(C)) => k1_funct_1(C, D)=k7_rfunct_1(k1_funct_1(B, D), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, k3_rfunct_3(A, k1_numbers)) =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  (! [D] :  (m2_finseq_1(D, k3_rfunct_3(A, k1_numbers)) =>  (D=k16_rfunct_3(A, B, C) <=>  (k3_finseq_1(D)=k4_nat_1(k3_finseq_1(C), k3_finseq_1(B)) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(D)) =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [G] :  (v1_xreal_0(G) =>  ( (G=k1_funct_1(C, E) & F=k1_funct_1(B, E))  => k1_funct_1(D, E)=k26_valued_1(A, k1_numbers, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, k3_rfunct_3(A, k1_numbers)) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  (D=k17_rfunct_3(A, B, C) <=>  (k3_finseq_1(D)=k3_finseq_1(B) &  (! [E] :  (m1_subset_1(E, k4_ordinal1) =>  (r2_tarski(E, k4_finseq_1(D)) => k1_funct_1(D, E)=k1_funct_1(k1_funct_1(B, E), C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, k3_rfunct_3(A, B)) =>  (! [D] :  (m1_subset_1(D, A) =>  (r1_rfunct_3(A, B, C, D) <=>  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(C)) => r2_tarski(D, k9_xtuple_0(k1_funct_1(C, E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, k3_rfunct_3(A, B)) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (v7_ordinal1(E) =>  (r1_rfunct_3(A, B, C, D) =>  (E=k5_numbers | r1_rfunct_3(A, B, k17_finseq_1(k3_rfunct_3(A, B), E, C), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, k3_rfunct_3(A, B)) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (v7_ordinal1(E) =>  (r1_rfunct_3(A, B, C, D) => r1_rfunct_3(A, B, k2_rfinseq(k3_rfunct_3(A, B), E, C), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, k3_rfunct_3(A, k1_numbers)) =>  ( ~ (k3_finseq_1(C)=k5_numbers)  =>  (r1_rfunct_3(A, k1_numbers, C, B) <=> r2_tarski(B, k1_relset_1(A, k14_rfunct_3(A, C)))) ) ) ) ) ) ) ) ).
fof(t29_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, k3_rfunct_3(A, k1_numbers)) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (v7_ordinal1(D) => k17_rfunct_3(A, k17_finseq_1(k3_rfunct_3(A, k1_numbers), D, B), C)=k17_finseq_1(k1_numbers, D, k17_rfunct_3(A, B, C))) ) ) ) ) ) ) ) ).
fof(t30_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (m1_subset_1(C, A) => r1_rfunct_3(A, k1_numbers, k15_rfunct_3(A, B), C)) ) ) ) ) ) ).
fof(t31_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, k3_rfunct_3(A, k1_numbers)) =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  (r1_rfunct_3(A, k1_numbers, C, B) => r1_rfunct_3(A, k1_numbers, k16_rfunct_3(A, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t32_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (m2_finseq_1(C, k1_numbers) =>  (! [D] :  (m1_subset_1(D, A) => r1_rfunct_3(A, k1_numbers, k16_rfunct_3(A, k15_rfunct_3(A, B), C), D)) ) ) ) ) ) ) ) ).
fof(t33_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, k3_rfunct_3(A, k1_numbers)) =>  (r1_rfunct_3(A, k1_numbers, C, B) => k1_funct_1(k14_rfunct_3(A, C), B)=k18_rvsum_1(k17_rfunct_3(A, C, B))) ) ) ) ) ) ) ).
fof(d10_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (C=k18_rfunct_3(A, B) <=>  (k1_relset_1(A, C)=k1_relset_1(A, B) &  (! [D] :  (m1_subset_1(D, A) =>  (r2_tarski(D, k1_relset_1(A, C)) => k1_funct_1(C, D)=k1_rfunct_3(k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (C=k19_rfunct_3(A, B) <=>  (k1_relset_1(A, C)=k1_relset_1(A, B) &  (! [D] :  (m1_subset_1(D, A) =>  (r2_tarski(D, k1_relset_1(A, C)) => k1_funct_1(C, D)=k2_rfunct_3(k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (r2_relset_1(A, k1_numbers, B, k47_valued_1(A, k1_numbers, k1_numbers, k18_rfunct_3(A, B), k19_rfunct_3(A, B))) &  (r2_relset_1(A, k1_numbers, k56_valued_1(A, k1_numbers, B), k3_valued_1(A, k1_numbers, k1_numbers, k18_rfunct_3(A, B), k19_rfunct_3(A, B))) & r2_relset_1(A, k1_numbers, k26_valued_1(A, k1_numbers, k18_rfunct_3(A, B), 2), k3_valued_1(A, k1_numbers, k1_numbers, B, k56_valued_1(A, k1_numbers, B)))) ) ) ) ) ) ).
fof(t35_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  => k8_relset_1(A, k1_numbers, B, k1_tarski(C))=k8_relset_1(A, k1_numbers, k18_rfunct_3(A, B), k1_tarski(C))) ) ) ) ) ) ) ).
fof(t36_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  => k8_relset_1(A, k1_numbers, B, k1_limfunc1(k5_numbers))=k8_relset_1(A, k1_numbers, k18_rfunct_3(A, B), k1_tarski(k5_numbers))) ) ) ) ).
fof(t37_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (m1_subset_1(C, A) => r1_xxreal_0(k5_numbers, k1_funct_1(k18_rfunct_3(A, B), C))) ) ) ) ) ) ).
fof(t38_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  => k8_relset_1(A, k1_numbers, B, k1_tarski(k4_xcmplx_0(C)))=k8_relset_1(A, k1_numbers, k19_rfunct_3(A, B), k1_tarski(C))) ) ) ) ) ) ) ).
fof(t39_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  => k8_relset_1(A, k1_numbers, B, k2_limfunc1(k5_numbers))=k8_relset_1(A, k1_numbers, k19_rfunct_3(A, B), k1_tarski(k5_numbers))) ) ) ) ).
fof(t40_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (m1_subset_1(C, A) => r1_xxreal_0(k5_numbers, k1_funct_1(k19_rfunct_3(A, B), C))) ) ) ) ) ) ).
fof(t41_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (r2_classes1(C, D) => r2_classes1(k18_rfunct_3(A, C), k18_rfunct_3(B, D))) ) ) ) ) ) ) ) ) ).
fof(t42_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (r2_classes1(C, D) => r2_classes1(k19_rfunct_3(A, C), k19_rfunct_3(B, D))) ) ) ) ) ) ) ) ) ).
fof(t43_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  =>  ( (r2_classes1(k18_rfunct_3(A, C), k18_rfunct_3(B, D)) & r2_classes1(k19_rfunct_3(A, C), k19_rfunct_3(B, D)))  => r2_classes1(C, D)) ) ) ) ) ) ) ) ) ).
fof(t44_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] : r2_relset_1(A, k1_numbers, k2_partfun1(A, k1_numbers, k18_rfunct_3(A, B), C), k18_rfunct_3(A, k2_partfun1(A, k1_numbers, B, C)))) ) ) ) ) ).
fof(t45_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] : r2_relset_1(A, k1_numbers, k2_partfun1(A, k1_numbers, k19_rfunct_3(A, B), C), k19_rfunct_3(A, k2_partfun1(A, k1_numbers, B, C)))) ) ) ) ) ).
fof(t46_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (! [C] :  (m1_subset_1(C, A) =>  (r2_tarski(C, k1_relset_1(A, B)) => r1_xxreal_0(k5_numbers, k1_funct_1(B, C))) ) )  => r2_relset_1(A, k1_numbers, k18_rfunct_3(A, B), B)) ) ) ) ) ).
fof(t47_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (! [C] :  (m1_subset_1(C, A) =>  (r2_tarski(C, k1_relset_1(A, B)) => r1_xxreal_0(k1_funct_1(B, C), k5_numbers)) ) )  => r2_relset_1(A, k1_numbers, k19_rfunct_3(A, B), k32_valued_1(A, k1_numbers, B))) ) ) ) ) ).
fof(t48_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  => r2_relset_1(A, k1_numbers, k15_valued_1(A, k1_numbers, B, k5_numbers), B)) ) ) ) ).
fof(t49_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] : r2_relset_1(A, k1_numbers, k15_valued_1(A, k1_numbers, k2_partfun1(A, k1_numbers, B, D), C), k2_partfun1(A, k1_numbers, k15_valued_1(A, k1_numbers, B, C), D))) ) ) ) ) ) ) ).
fof(t50_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => k8_relset_1(A, k1_numbers, B, k1_tarski(k2_xcmplx_0(D, C)))=k8_relset_1(A, k1_numbers, k15_valued_1(A, k1_numbers, B, C), k1_tarski(D))) ) ) ) ) ) ) ) ).
fof(t51_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers))))  =>  (! [E] :  (v1_xreal_0(E) =>  (r2_classes1(C, D) <=> r2_classes1(k15_valued_1(A, k1_numbers, C, E), k15_valued_1(B, k1_numbers, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_rfunct_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (r2_rfunct_3(A, B) <=>  (r1_tarski(B, k1_relset_1(k1_numbers, A)) &  (! [C] :  (v1_xreal_0(C) =>  ( (r1_xxreal_0(k5_numbers, C) & r1_xxreal_0(C, 1))  =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ( (r2_hidden(D, B) &  (r2_hidden(E, B) & r2_tarski(k2_xcmplx_0(k3_xcmplx_0(C, D), k3_xcmplx_0(k6_xcmplx_0(1, C), E)), B)) )  => r1_xxreal_0(k1_funct_1(A, k2_xcmplx_0(k3_xcmplx_0(C, D), k3_xcmplx_0(k6_xcmplx_0(1, C), E))), k2_xcmplx_0(k3_xcmplx_0(C, k1_funct_1(A, D)), k3_xcmplx_0(k6_xcmplx_0(1, C), k1_funct_1(A, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_rfunct_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r2_rfunct_3(C, k1_rcomp_1(A, B)) <=>  (r1_tarski(k1_rcomp_1(A, B), k1_relset_1(k1_numbers, C)) &  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(k5_numbers, D) & r1_xxreal_0(D, 1))  =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (r2_hidden(E, k1_rcomp_1(A, B)) & r2_hidden(F, k1_rcomp_1(A, B)))  => r1_xxreal_0(k1_funct_1(C, k2_xcmplx_0(k3_xcmplx_0(D, E), k3_xcmplx_0(k6_xcmplx_0(1, D), F))), k2_xcmplx_0(k3_xcmplx_0(D, k1_funct_1(C, E)), k3_xcmplx_0(k6_xcmplx_0(1, D), k1_funct_1(C, F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_rfunct_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r2_rfunct_3(C, k1_rcomp_1(A, B)) <=>  (r1_tarski(k1_rcomp_1(A, B), k1_relset_1(k1_numbers, C)) &  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ( (r2_hidden(D, k1_rcomp_1(A, B)) &  (r2_hidden(E, k1_rcomp_1(A, B)) & r2_hidden(F, k1_rcomp_1(A, B))) )  =>  (r1_xxreal_0(E, D) |  (r1_xxreal_0(F, E) | r1_xxreal_0(k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(C, D), k1_funct_1(C, E)), k6_xcmplx_0(D, E)), k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(C, E), k1_funct_1(C, F)), k6_xcmplx_0(E, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_rfunct_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (! [C] :  ( (r2_rfunct_3(A, B) & r1_tarski(C, B))  => r2_rfunct_3(A, C)) ) ) ) ) ).
fof(t55_rfunct_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (! [C] :  (v1_xreal_0(C) =>  (r2_rfunct_3(A, B) <=> r2_rfunct_3(k15_valued_1(k1_numbers, k1_numbers, A, C), B)) ) ) ) ) ) ).
fof(t56_rfunct_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  =>  (r2_rfunct_3(A, B) <=> r2_rfunct_3(k26_valued_1(k1_numbers, k1_numbers, A, C), B)) ) ) ) ) ) ) ).
fof(t57_rfunct_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (r1_tarski(B, k1_relset_1(k1_numbers, A)) => r2_rfunct_3(k26_valued_1(k1_numbers, k1_numbers, A, k5_numbers), B)) ) ) ) ).
fof(t58_rfunct_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (r2_rfunct_3(A, C) & r2_rfunct_3(B, C))  => r2_rfunct_3(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), C)) ) ) ) ) ) ).
fof(t59_rfunct_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (! [C] :  (v1_xreal_0(C) =>  (r2_rfunct_3(A, B) => r2_rfunct_3(k18_rfunct_3(k1_numbers, k15_valued_1(k1_numbers, k1_numbers, A, C)), B)) ) ) ) ) ) ).
fof(t60_rfunct_3, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (r2_rfunct_3(A, B) => r2_rfunct_3(k18_rfunct_3(k1_numbers, A), B)) ) ) ) ).
fof(t61_rfunct_3, axiom, r2_rfunct_3(k1_partfun2(k1_numbers, k2_subset_1(k1_numbers)), k1_numbers)).
fof(t62_rfunct_3, axiom,  (! [A] :  (v1_xreal_0(A) => r2_rfunct_3(k18_rfunct_3(k1_numbers, k15_valued_1(k1_numbers, k1_numbers, k1_partfun2(k1_numbers, k2_subset_1(k1_numbers)), A)), k1_numbers)) ) ).
fof(d13_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (v1_finset_1(k1_relset_1(A, k2_partfun1(A, k1_numbers, B, C))) =>  (! [D] :  ( (v8_valued_0(D) & m2_finseq_1(D, k1_numbers))  =>  (D=k20_rfunct_3(A, B, C) <=> r2_classes1(k2_partfun1(A, k1_numbers, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t63_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (v1_finset_1(k1_relset_1(A, k2_partfun1(A, k1_numbers, B, C))) => k20_rfunct_3(A, B, k1_relset_1(A, k2_partfun1(A, k1_numbers, B, C)))=k20_rfunct_3(A, B, C)) ) ) ) ) ) ).
fof(t64_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (v1_finset_1(k1_relset_1(A, k2_partfun1(A, k1_numbers, B, C))) => k20_rfunct_3(A, k2_partfun1(A, k1_numbers, B, C), C)=k20_rfunct_3(A, B, C)) ) ) ) ) ) ).
fof(t65_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (v1_finset_1(C) & r2_tarski(B, k1_relset_1(A, k2_partfun1(A, k1_numbers, D, C))))  => r2_classes1(k7_finseq_1(k20_rfunct_3(A, D, k6_subset_1(C, k1_tarski(B))), k9_finseq_1(k1_funct_1(D, B))), k2_partfun1(A, k1_numbers, D, C))) ) ) ) ) ) ) ) ).
fof(t66_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  ( (v1_finset_1(k1_relset_1(A, k2_partfun1(A, k1_numbers, D, C))) & r2_tarski(B, k1_relset_1(A, k2_partfun1(A, k1_numbers, D, C))))  => r2_classes1(k7_finseq_1(k20_rfunct_3(A, D, k6_subset_1(C, k1_tarski(B))), k9_finseq_1(k1_funct_1(D, B))), k2_partfun1(A, k1_numbers, D, C))) ) ) ) ) ) ) ) ).
fof(t67_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (! [D] :  (v1_finset_1(D) =>  (D=k1_relset_1(A, k2_partfun1(A, k1_numbers, B, C)) => k3_finseq_1(k20_rfunct_3(A, B, C))=k4_card_1(D)) ) ) ) ) ) ) ) ).
fof(t68_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  => k20_rfunct_3(A, B, k1_xboole_0)=k6_finseq_1(k1_numbers)) ) ) ) ).
fof(t69_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (m1_subset_1(C, A) =>  (r2_tarski(C, k1_relset_1(A, B)) => k20_rfunct_3(A, B, k1_tarski(C))=k9_finseq_1(k1_funct_1(B, C))) ) ) ) ) ) ) ).
fof(t70_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (! [D] :  (m1_subset_1(D, A) =>  ( (v1_finset_1(k1_relset_1(A, k2_partfun1(A, k1_numbers, B, C))) &  (r2_tarski(D, k1_relset_1(A, k2_partfun1(A, k1_numbers, B, C))) & k1_funct_1(k20_rfunct_3(A, B, C), k3_finseq_1(k20_rfunct_3(A, B, C)))=k1_funct_1(B, D)) )  => k20_rfunct_3(A, B, C)=k7_finseq_1(k20_rfunct_3(A, B, k6_subset_1(C, k1_tarski(D))), k9_finseq_1(k1_funct_1(B, D)))) ) ) ) ) ) ) ) ).
fof(t71_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (! [D] :  ( (v1_finset_1(k1_relset_1(A, k2_partfun1(A, k1_numbers, B, C))) &  (r1_tarski(D, C) &  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  ( (r2_tarski(E, k1_relset_1(A, k2_partfun1(A, k1_numbers, B, D))) & r2_tarski(F, k1_relset_1(A, k2_partfun1(A, k1_numbers, B, k6_subset_1(C, D)))))  => r1_xxreal_0(k1_funct_1(B, F), k1_funct_1(B, E))) ) ) ) ) ) )  => k20_rfunct_3(A, B, C)=k8_finseq_1(k1_numbers, k20_rfunct_3(A, B, D), k20_rfunct_3(A, B, k6_subset_1(C, D)))) ) ) ) ) ) ) ).
fof(t72_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (! [E] :  (m1_subset_1(E, A) =>  ( (v1_finset_1(k1_relset_1(A, k2_partfun1(A, k1_numbers, B, D))) & r2_tarski(E, k1_relset_1(A, k2_partfun1(A, k1_numbers, B, D))))  =>  (k1_funct_1(k20_rfunct_3(A, k15_valued_1(A, k1_numbers, B, C), D), k3_finseq_1(k20_rfunct_3(A, k15_valued_1(A, k1_numbers, B, C), D)))=k1_funct_1(k15_valued_1(A, k1_numbers, B, C), E) <=> k1_funct_1(k20_rfunct_3(A, B, D), k3_finseq_1(k20_rfunct_3(A, B, D)))=k1_funct_1(B, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t73_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (! [E] :  (v1_finset_1(E) =>  (E=k1_relset_1(A, k2_partfun1(A, k1_numbers, B, D)) => k20_rfunct_3(A, k15_valued_1(A, k1_numbers, B, C), D)=k8_rvsum_1(k20_rfunct_3(A, B, D), k2_finseq_2(k4_card_1(E), C))) ) ) ) ) ) ) ) ) ) ).
fof(t74_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  ( (v1_finset_1(k1_relset_1(A, k2_partfun1(A, k1_numbers, B, C))) &  (! [D] :  (m1_subset_1(D, A) =>  (r2_tarski(D, k1_relset_1(A, k2_partfun1(A, k1_numbers, B, C))) => r1_xxreal_0(k5_numbers, k1_funct_1(B, D))) ) ) )  => k20_rfunct_3(A, k18_rfunct_3(A, B), C)=k20_rfunct_3(A, B, C)) ) ) ) ) ) ).
fof(t75_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_finset_1(E) =>  ( (E=k1_relset_1(A, k2_partfun1(A, k1_numbers, B, C)) & k1_rvsum_1(k2_partfun1(A, k1_numbers, B, C))=k1_tarski(D))  => k20_rfunct_3(A, B, C)=k2_finseq_2(k4_card_1(E), D)) ) ) ) ) ) ) ) ) ) ).
fof(t76_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (! [D] :  ( (v1_finset_1(k1_relset_1(A, k2_partfun1(A, k1_numbers, B, k2_xboole_0(C, D)))) & r1_xboole_0(C, D))  => r2_classes1(k20_rfunct_3(A, B, k2_xboole_0(C, D)), k8_finseq_1(k1_numbers, k20_rfunct_3(A, B, C), k20_rfunct_3(A, B, D)))) ) ) ) ) ) ) ).
fof(d14_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] : k21_rfunct_3(A, B, C)=k18_rvsum_1(k20_rfunct_3(A, B, C))) ) ) ) ) ).
fof(t77_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (! [D] :  (v1_xreal_0(D) =>  (v1_finset_1(k1_relset_1(A, k2_partfun1(A, k1_numbers, B, C))) => k21_rfunct_3(A, k26_valued_1(A, k1_numbers, B, D), C)=k3_xcmplx_0(D, k21_rfunct_3(A, B, C))) ) ) ) ) ) ) ) ).
fof(t78_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  (! [E] :  (v1_finset_1(E) =>  ( (E=k1_relset_1(A, k2_partfun1(A, k1_numbers, B, D)) & k1_relset_1(A, k2_partfun1(A, k1_numbers, B, D))=k1_relset_1(A, k2_partfun1(A, k1_numbers, C, D)))  => k21_rfunct_3(A, k3_valued_1(A, k1_numbers, k1_numbers, B, C), D)=k2_xcmplx_0(k21_rfunct_3(A, B, D), k21_rfunct_3(A, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t79_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [D] :  ( (v1_finset_1(k1_relset_1(A, k2_partfun1(A, k1_numbers, B, D))) & k1_relset_1(A, k2_partfun1(A, k1_numbers, B, D))=k1_relset_1(A, k2_partfun1(A, k1_numbers, C, D)))  => k21_rfunct_3(A, k47_valued_1(A, k1_numbers, k1_numbers, B, C), D)=k6_xcmplx_0(k21_rfunct_3(A, B, D), k21_rfunct_3(A, C, D))) ) ) ) ) ) ) ) ).
fof(t80_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_finset_1(E) =>  (E=k1_relset_1(A, k2_partfun1(A, k1_numbers, B, C)) => k21_rfunct_3(A, k15_valued_1(A, k1_numbers, B, D), C)=k6_xcmplx_0(k21_rfunct_3(A, B, C), k3_xcmplx_0(D, k4_card_1(E)))) ) ) ) ) ) ) ) ) ) ).
fof(t81_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  => k21_rfunct_3(A, B, k1_xboole_0)=k5_numbers) ) ) ) ).
fof(t82_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (m1_subset_1(C, A) =>  (r2_tarski(C, k1_relset_1(A, B)) => k21_rfunct_3(A, B, k1_tarski(C))=k1_funct_1(B, C)) ) ) ) ) ) ) ).
fof(t83_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (! [D] :  ( (v1_finset_1(k1_relset_1(A, k2_partfun1(A, k1_numbers, B, k2_xboole_0(C, D)))) & r1_xboole_0(C, D))  => k21_rfunct_3(A, B, k2_xboole_0(C, D))=k2_xcmplx_0(k21_rfunct_3(A, B, C), k21_rfunct_3(A, B, D))) ) ) ) ) ) ) ).
fof(t84_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers))))  =>  (! [C] :  (! [D] :  ( (v1_finset_1(k1_relset_1(A, k2_partfun1(A, k1_numbers, B, k2_xboole_0(C, D)))) & r1_xboole_0(k1_relset_1(A, k2_partfun1(A, k1_numbers, B, C)), k1_relset_1(A, k2_partfun1(A, k1_numbers, B, D))))  => k21_rfunct_3(A, B, k2_xboole_0(C, D))=k2_xcmplx_0(k21_rfunct_3(A, B, C), k21_rfunct_3(A, B, D))) ) ) ) ) ) ) ).
fof(dt_k1_rfunct_3, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xreal_0(k1_rfunct_3(A))) ) ).
fof(dt_k2_rfunct_3, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xreal_0(k2_rfunct_3(A))) ) ).
fof(existence_m1_rfunct_3, axiom,  (! [A, B] :  (? [C] : m1_rfunct_3(C, A, B)) ) ).
fof(dt_k3_rfunct_3, axiom,  (! [A, B] : m1_rfunct_3(k3_rfunct_3(A, B), A, B)) ).
fof(redefinition_k3_rfunct_3, axiom,  (! [A, B] : k3_rfunct_3(A, B)=k4_partfun1(A, B)) ).
fof(dt_m2_rfunct_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(C))  & m1_rfunct_3(C, A, B))  =>  (! [D] :  (m2_rfunct_3(D, A, B, C) =>  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ).
fof(existence_m2_rfunct_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(C))  & m1_rfunct_3(C, A, B))  =>  (? [D] : m2_rfunct_3(D, A, B, C)) ) ) ).
fof(redefinition_m2_rfunct_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(C))  & m1_rfunct_3(C, A, B))  =>  (! [D] :  (m2_rfunct_3(D, A, B, C) <=> m1_subset_1(D, C)) ) ) ) ).
fof(dt_k4_rfunct_3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, B)) ) )  => m2_rfunct_3(k4_rfunct_3(A, B, C, D), A, B, k3_rfunct_3(A, B))) ) ).
fof(redefinition_k4_rfunct_3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, B)) ) )  => k4_rfunct_3(A, B, C, D)=k2_funcop_1(C, D)) ) ).
fof(dt_k5_rfunct_3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (v3_membered(B) &  (m1_subset_1(C, k3_rfunct_3(A, B)) & m1_subset_1(D, k3_rfunct_3(A, B))) ) )  => m2_rfunct_3(k5_rfunct_3(A, B, C, D), A, k1_numbers, k3_rfunct_3(A, k1_numbers))) ) ).
fof(commutativity_k5_rfunct_3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (v3_membered(B) &  (m1_subset_1(C, k3_rfunct_3(A, B)) & m1_subset_1(D, k3_rfunct_3(A, B))) ) )  => k5_rfunct_3(A, B, C, D)=k5_rfunct_3(A, B, D, C)) ) ).
fof(redefinition_k5_rfunct_3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (v3_membered(B) &  (m1_subset_1(C, k3_rfunct_3(A, B)) & m1_subset_1(D, k3_rfunct_3(A, B))) ) )  => k5_rfunct_3(A, B, C, D)=k1_valued_1(C, D)) ) ).
fof(dt_k6_rfunct_3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (v3_membered(B) &  (m1_subset_1(C, k3_rfunct_3(A, B)) & m1_subset_1(D, k3_rfunct_3(A, B))) ) )  => m2_rfunct_3(k6_rfunct_3(A, B, C, D), A, k1_numbers, k3_rfunct_3(A, k1_numbers))) ) ).
fof(redefinition_k6_rfunct_3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (v3_membered(B) &  (m1_subset_1(C, k3_rfunct_3(A, B)) & m1_subset_1(D, k3_rfunct_3(A, B))) ) )  => k6_rfunct_3(A, B, C, D)=k45_valued_1(C, D)) ) ).
fof(dt_k7_rfunct_3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (v3_membered(B) &  (m1_subset_1(C, k3_rfunct_3(A, B)) & m1_subset_1(D, k3_rfunct_3(A, B))) ) )  => m2_rfunct_3(k7_rfunct_3(A, B, C, D), A, k1_numbers, k3_rfunct_3(A, k1_numbers))) ) ).
fof(commutativity_k7_rfunct_3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (v3_membered(B) &  (m1_subset_1(C, k3_rfunct_3(A, B)) & m1_subset_1(D, k3_rfunct_3(A, B))) ) )  => k7_rfunct_3(A, B, C, D)=k7_rfunct_3(A, B, D, C)) ) ).
fof(redefinition_k7_rfunct_3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (v3_membered(B) &  (m1_subset_1(C, k3_rfunct_3(A, B)) & m1_subset_1(D, k3_rfunct_3(A, B))) ) )  => k7_rfunct_3(A, B, C, D)=k18_valued_1(C, D)) ) ).
fof(dt_k8_rfunct_3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (v3_membered(B) &  (m1_subset_1(C, k3_rfunct_3(A, B)) & m1_subset_1(D, k3_rfunct_3(A, B))) ) )  => m2_rfunct_3(k8_rfunct_3(A, B, C, D), A, k1_numbers, k3_rfunct_3(A, k1_numbers))) ) ).
fof(redefinition_k8_rfunct_3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (v3_membered(B) &  (m1_subset_1(C, k3_rfunct_3(A, B)) & m1_subset_1(D, k3_rfunct_3(A, B))) ) )  => k8_rfunct_3(A, B, C, D)=k1_rfunct_1(C, D)) ) ).
fof(dt_k9_rfunct_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v3_membered(B) & m1_subset_1(C, k3_rfunct_3(A, B))) )  => m2_rfunct_3(k9_rfunct_3(A, B, C), A, k1_numbers, k3_rfunct_3(A, k1_numbers))) ) ).
fof(projectivity_k9_rfunct_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v3_membered(B) & m1_subset_1(C, k3_rfunct_3(A, B))) )  => k9_rfunct_3(A, B, k9_rfunct_3(A, B, C))=k9_rfunct_3(A, B, C)) ) ).
fof(redefinition_k9_rfunct_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v3_membered(B) & m1_subset_1(C, k3_rfunct_3(A, B))) )  => k9_rfunct_3(A, B, C)=k54_valued_1(C)) ) ).
fof(dt_k10_rfunct_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v3_membered(B) & m1_subset_1(C, k3_rfunct_3(A, B))) )  => m2_rfunct_3(k10_rfunct_3(A, B, C), A, k1_numbers, k3_rfunct_3(A, k1_numbers))) ) ).
fof(involutiveness_k10_rfunct_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v3_membered(B) & m1_subset_1(C, k3_rfunct_3(A, B))) )  => k10_rfunct_3(A, B, k10_rfunct_3(A, B, C))=C) ) ).
fof(redefinition_k10_rfunct_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v3_membered(B) & m1_subset_1(C, k3_rfunct_3(A, B))) )  => k10_rfunct_3(A, B, C)=k30_valued_1(C)) ) ).
fof(dt_k11_rfunct_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v3_membered(B) & m1_subset_1(C, k3_rfunct_3(A, B))) )  => m2_rfunct_3(k11_rfunct_3(A, B, C), A, k1_numbers, k3_rfunct_3(A, k1_numbers))) ) ).
fof(redefinition_k11_rfunct_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v3_membered(B) & m1_subset_1(C, k3_rfunct_3(A, B))) )  => k11_rfunct_3(A, B, C)=k4_rfunct_1(C)) ) ).
fof(dt_k12_rfunct_3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (v3_membered(B) &  (m1_subset_1(C, k3_rfunct_3(A, B)) & v1_xreal_0(D)) ) )  => m2_rfunct_3(k12_rfunct_3(A, B, C, D), A, k1_numbers, k3_rfunct_3(A, k1_numbers))) ) ).
fof(redefinition_k12_rfunct_3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (v3_membered(B) &  (m1_subset_1(C, k3_rfunct_3(A, B)) & v1_xreal_0(D)) ) )  => k12_rfunct_3(A, B, C, D)=k24_valued_1(C, D)) ) ).
fof(dt_k13_rfunct_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k13_rfunct_3(A)) &  (v1_funct_2(k13_rfunct_3(A), k2_zfmisc_1(k3_rfunct_3(A, k1_numbers), k3_rfunct_3(A, k1_numbers)), k3_rfunct_3(A, k1_numbers)) & m1_subset_1(k13_rfunct_3(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rfunct_3(A, k1_numbers), k3_rfunct_3(A, k1_numbers)), k3_rfunct_3(A, k1_numbers))))) ) ) ) ).
fof(dt_k14_rfunct_3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(B, k3_rfunct_3(A, k1_numbers)))  => m2_rfunct_3(k14_rfunct_3(A, B), A, k1_numbers, k3_rfunct_3(A, k1_numbers))) ) ).
fof(dt_k15_rfunct_3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  => m2_finseq_1(k15_rfunct_3(A, B), k3_rfunct_3(A, k1_numbers))) ) ).
fof(dt_k16_rfunct_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_finseq_1(B, k3_rfunct_3(A, k1_numbers)) & m1_finseq_1(C, k1_numbers)) )  => m2_finseq_1(k16_rfunct_3(A, B, C), k3_rfunct_3(A, k1_numbers))) ) ).
fof(dt_k17_rfunct_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_finseq_1(B, k3_rfunct_3(A, k1_numbers)) & m1_subset_1(C, A)) )  => m2_finseq_1(k17_rfunct_3(A, B, C), k1_numbers)) ) ).
fof(dt_k18_rfunct_3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_funct_1(k18_rfunct_3(A, B)) & m1_subset_1(k18_rfunct_3(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ).
fof(dt_k19_rfunct_3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v1_funct_1(k19_rfunct_3(A, B)) & m1_subset_1(k19_rfunct_3(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ).
fof(dt_k20_rfunct_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  =>  (v8_valued_0(k20_rfunct_3(A, B, C)) & m2_finseq_1(k20_rfunct_3(A, B, C), k1_numbers)) ) ) ).
fof(dt_k21_rfunct_3, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  => v1_xreal_0(k21_rfunct_3(A, B, C))) ) ).
fof(t1_rfunct_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => r1_xxreal_0(k3_xxreal_0(A, B), k4_xxreal_0(A, B))) ) ) ) ).
fof(t2_rfunct_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k4_finseq_2(A, k1_numbers)) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k4_finseq_2(A, k1_numbers)) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) => k14_rvsum_1(k7_finseq_1(B, k9_finseq_1(D)), k7_finseq_1(C, k9_finseq_1(E)))=k7_finseq_1(k15_rvsum_1(A, B, C), k9_finseq_1(k3_xcmplx_0(D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t3_rfunct_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k4_finseq_2(A, k1_numbers)) =>  ( (k18_rvsum_1(B)=k5_numbers &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r2_tarski(C, k4_finseq_1(B)) => r1_xxreal_0(k5_numbers, k1_funct_1(B, C))) ) ) )  =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r2_tarski(C, k4_finseq_1(B)) => k1_funct_1(B, C)=k5_numbers) ) ) ) ) ) ) ) ).
fof(t4_rfunct_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k4_finseq_2(A, k1_numbers)) =>  ( (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (r2_tarski(C, k4_finseq_1(B)) => k5_numbers=k1_funct_1(B, C)) ) )  => B=k2_finseq_2(A, k5_numbers)) ) ) ) ) ).
fof(t5_rfunct_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_2(B, k1_numbers, k4_finseq_2(A, k1_numbers)) => k14_rvsum_1(k2_finseq_2(A, k5_numbers), B)=k2_finseq_2(A, k5_numbers)) ) ) ) ).
fof(d1_rfunct_4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (r1_rfunct_4(A, B) <=>  (r1_tarski(B, k9_xtuple_0(A)) &  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  ( ~ (r1_xxreal_0(1, C))  &  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (r2_hidden(D, B) &  (r2_hidden(E, B) &  (r2_tarski(k2_xcmplx_0(k3_xcmplx_0(C, D), k3_xcmplx_0(k6_xcmplx_0(1, C), E)), B) &  ( ~ (D=E)  & r1_xxreal_0(k2_xcmplx_0(k3_xcmplx_0(C, k1_funct_1(A, D)), k3_xcmplx_0(k6_xcmplx_0(1, C), k1_funct_1(A, E))), k1_funct_1(A, k2_xcmplx_0(k3_xcmplx_0(C, D), k3_xcmplx_0(k6_xcmplx_0(1, C), E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_rfunct_4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (r1_rfunct_4(A, B) => r2_rfunct_3(A, B)) ) ) ) ).
fof(t7_rfunct_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_rfunct_4(C, k1_rcomp_1(A, B)) <=>  (r1_tarski(k1_rcomp_1(A, B), k9_xtuple_0(C)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  ( ~ (r1_xxreal_0(1, D))  &  (? [E] :  (v1_xreal_0(E) &  (? [F] :  (v1_xreal_0(F) &  (r2_hidden(E, k1_rcomp_1(A, B)) &  (r2_hidden(F, k1_rcomp_1(A, B)) &  ( ~ (E=F)  & r1_xxreal_0(k2_xcmplx_0(k3_xcmplx_0(D, k1_funct_1(C, E)), k3_xcmplx_0(k6_xcmplx_0(1, D), k1_funct_1(C, F))), k1_funct_1(C, k2_xcmplx_0(k3_xcmplx_0(D, E), k3_xcmplx_0(k6_xcmplx_0(1, D), F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_rfunct_4, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r2_rfunct_3(B, A) <=>  (r1_tarski(A, k9_xtuple_0(B)) &  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ( (r2_hidden(C, A) &  (r2_hidden(D, A) & r2_hidden(E, A)) )  =>  (r1_xxreal_0(D, C) |  (r1_xxreal_0(E, D) | r1_xxreal_0(k1_funct_1(B, D), k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(E, D), k6_xcmplx_0(E, C)), k1_funct_1(B, C)), k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(D, C), k6_xcmplx_0(E, C)), k1_funct_1(B, E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_rfunct_4, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_rfunct_4(B, A) <=>  (r1_tarski(A, k9_xtuple_0(B)) &  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(C, A) &  (r2_hidden(D, A) &  (r2_hidden(E, A) &  ( ~ (r1_xxreal_0(D, C))  &  ( ~ (r1_xxreal_0(E, D))  & r1_xxreal_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(E, D), k6_xcmplx_0(E, C)), k1_funct_1(B, C)), k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(D, C), k6_xcmplx_0(E, C)), k1_funct_1(B, E))), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_rfunct_4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (! [C] :  ( (r1_rfunct_4(A, B) & r1_tarski(C, B))  => r1_rfunct_4(A, C)) ) ) ) ) ).
fof(t11_rfunct_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  (r1_rfunct_4(B, C) <=> r1_rfunct_4(k15_valued_1(k1_numbers, k1_numbers, B, A), C)) ) ) ) ) ) ).
fof(t12_rfunct_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( ~ (r1_xxreal_0(A, k5_numbers))  =>  (r1_rfunct_4(B, C) <=> r1_rfunct_4(k26_valued_1(k1_numbers, k1_numbers, B, A), C)) ) ) ) ) ) ) ).
fof(t13_rfunct_4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (r1_rfunct_4(A, C) & r1_rfunct_4(B, C))  => r1_rfunct_4(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), C)) ) ) ) ) ) ).
fof(t14_rfunct_4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (r1_rfunct_4(A, C) & r2_rfunct_3(B, C))  => r1_rfunct_4(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, A, B), C)) ) ) ) ) ) ).
fof(t15_rfunct_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [E] :  ( (r1_rfunct_4(C, E) & r1_rfunct_4(D, E))  =>  ( ( ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  & r1_xxreal_0(k5_numbers, B)) )  &  ~ ( (r1_xxreal_0(k5_numbers, A) &  ~ (r1_xxreal_0(B, k5_numbers)) ) ) )  | r1_rfunct_4(k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k26_valued_1(k1_numbers, k1_numbers, C, A), k26_valued_1(k1_numbers, k1_numbers, D, B)), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_rfunct_4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (r2_rfunct_3(A, B) <=>  (r1_tarski(B, k9_xtuple_0(A)) &  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ( (r2_hidden(C, B) &  (r2_hidden(D, B) & r2_hidden(E, B)) )  =>  (r1_xxreal_0(E, C) |  (r1_xxreal_0(D, E) |  (r1_xxreal_0(k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(A, E), k1_funct_1(A, C)), k6_xcmplx_0(E, C)), k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(A, D), k1_funct_1(A, C)), k6_xcmplx_0(D, C))) & r1_xxreal_0(k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(A, D), k1_funct_1(A, C)), k6_xcmplx_0(D, C)), k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(A, D), k1_funct_1(A, E)), k6_xcmplx_0(D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_rfunct_4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (r1_rfunct_4(A, B) <=>  (r1_tarski(B, k9_xtuple_0(A)) &  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ( (r2_hidden(C, B) &  (r2_hidden(D, B) & r2_hidden(E, B)) )  =>  (r1_xxreal_0(E, C) |  (r1_xxreal_0(D, E) |  ( ~ (r1_xxreal_0(k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(A, D), k1_funct_1(A, C)), k6_xcmplx_0(D, C)), k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(A, E), k1_funct_1(A, C)), k6_xcmplx_0(E, C))))  &  ~ (r1_xxreal_0(k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(A, D), k1_funct_1(A, E)), k6_xcmplx_0(D, E)), k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(A, D), k1_funct_1(A, C)), k6_xcmplx_0(D, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_rfunct_4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (v1_partfun1(A, k1_numbers) &  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k4_finseq_2(B, k1_numbers)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k4_finseq_2(B, k1_numbers)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k4_finseq_2(B, k1_numbers)) =>  ( (k18_rvsum_1(C)=1 &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r2_tarski(F, k4_finseq_1(C)) =>  (r1_xxreal_0(k5_numbers, k1_funct_1(C, F)) & k1_funct_1(E, F)=k1_funct_1(A, k1_funct_1(D, F))) ) ) ) )  => r1_xxreal_0(k1_funct_1(A, k18_rvsum_1(k15_rvsum_1(B, C, D))), k18_rvsum_1(k15_rvsum_1(B, C, E)))) ) ) ) ) ) ) ) ) )  => r2_rfunct_3(A, k1_numbers)) ) ) ).
fof(t19_rfunct_4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r2_rfunct_3(A, k1_numbers) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (m2_finseq_2(C, k1_numbers, k4_finseq_2(B, k1_numbers)) =>  (! [D] :  (m2_finseq_2(D, k1_numbers, k4_finseq_2(B, k1_numbers)) =>  (! [E] :  (m2_finseq_2(E, k1_numbers, k4_finseq_2(B, k1_numbers)) =>  ( (k18_rvsum_1(C)=1 &  (! [F] :  (m1_subset_1(F, k4_ordinal1) =>  (r2_tarski(F, k4_finseq_1(C)) =>  (r1_xxreal_0(k5_numbers, k1_funct_1(C, F)) & k1_funct_1(E, F)=k1_funct_1(A, k1_funct_1(D, F))) ) ) ) )  => r1_xxreal_0(k1_funct_1(A, k18_rvsum_1(k15_rvsum_1(B, C, D))), k18_rvsum_1(k15_rvsum_1(B, C, E)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_rfunct_4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  ( (v6_xxreal_2(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  (! [C] :  (v1_xreal_0(C) =>  (r2_rfunct_3(A, B) =>  ( (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(D, B) &  (r2_hidden(E, B) &  ( ~ (r1_xxreal_0(C, D))  &  ~ (r1_xxreal_0(E, C)) ) ) ) ) ) ) ) )  | r1_fcont_1(A, C)) ) ) ) ) ) ) ) ).
fof(d2_rfunct_4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (r2_rfunct_4(A, B) <=>  (r1_tarski(B, k9_xtuple_0(A)) &  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  ( ~ (r1_xxreal_0(1, C))  &  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (r2_hidden(D, B) &  (r2_hidden(E, B) &  (r2_tarski(k2_xcmplx_0(k3_xcmplx_0(C, D), k3_xcmplx_0(k6_xcmplx_0(1, C), E)), B) &  ~ (r1_xxreal_0(k1_funct_1(A, k2_xcmplx_0(k3_xcmplx_0(C, D), k3_xcmplx_0(k6_xcmplx_0(1, C), E))), k4_xxreal_0(k1_funct_1(A, D), k1_funct_1(A, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_rfunct_4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (r3_rfunct_4(A, B) <=>  (r1_tarski(B, k9_xtuple_0(A)) &  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  ( ~ (r1_xxreal_0(1, C))  &  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (r2_hidden(D, B) &  (r2_hidden(E, B) &  (r2_tarski(k2_xcmplx_0(k3_xcmplx_0(C, D), k3_xcmplx_0(k6_xcmplx_0(1, C), E)), B) &  ( ~ (k1_funct_1(A, D)=k1_funct_1(A, E))  & r1_xxreal_0(k4_xxreal_0(k1_funct_1(A, D), k1_funct_1(A, E)), k1_funct_1(A, k2_xcmplx_0(k3_xcmplx_0(C, D), k3_xcmplx_0(k6_xcmplx_0(1, C), E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_rfunct_4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (r4_rfunct_4(A, B) <=>  (r1_tarski(B, k9_xtuple_0(A)) &  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  ( ~ (r1_xxreal_0(1, C))  &  (? [D] :  (v1_xreal_0(D) &  (? [E] :  (v1_xreal_0(E) &  (r2_hidden(D, B) &  (r2_hidden(E, B) &  (r2_tarski(k2_xcmplx_0(k3_xcmplx_0(C, D), k3_xcmplx_0(k6_xcmplx_0(1, C), E)), B) &  ( ~ (D=E)  & r1_xxreal_0(k4_xxreal_0(k1_funct_1(A, D), k1_funct_1(A, E)), k1_funct_1(A, k2_xcmplx_0(k3_xcmplx_0(C, D), k3_xcmplx_0(k6_xcmplx_0(1, C), E))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_rfunct_4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (r5_rfunct_4(A, B) <=>  (r2_hidden(B, k9_xtuple_0(A)) &  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, k9_xtuple_0(A)) &  ( ~ (r1_xxreal_0(D, k9_complex1(k6_xcmplx_0(E, B))))  & r1_xxreal_0(C, k6_xcmplx_0(k1_funct_1(A, B), k1_funct_1(A, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_rfunct_4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (r6_rfunct_4(A, B) <=>  (r1_tarski(B, k9_xtuple_0(A)) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, B) => r5_rfunct_4(k2_partfun1(k1_numbers, k1_numbers, A, B), C)) ) ) ) ) ) ) ) ).
fof(d7_rfunct_4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (r7_rfunct_4(A, B) <=>  (r2_hidden(B, k9_xtuple_0(A)) &  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, k9_xtuple_0(A)) &  ( ~ (r1_xxreal_0(D, k9_complex1(k6_xcmplx_0(E, B))))  & r1_xxreal_0(C, k6_xcmplx_0(k1_funct_1(A, E), k1_funct_1(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_rfunct_4, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (r8_rfunct_4(A, B) <=>  (r1_tarski(B, k9_xtuple_0(A)) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, B) => r7_rfunct_4(k2_partfun1(k1_numbers, k1_numbers, A, B), C)) ) ) ) ) ) ) ) ).
fof(t21_rfunct_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r2_hidden(A, k9_xtuple_0(B)) =>  ( (r5_rfunct_4(B, A) & r7_rfunct_4(B, A))  <=> r1_fcont_1(B, A)) ) ) ) ) ) ).
fof(t22_rfunct_4, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_tarski(A, k9_xtuple_0(B)) =>  ( (r6_rfunct_4(B, A) & r8_rfunct_4(B, A))  <=> v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) ) ).
fof(t23_rfunct_4, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_rfunct_4(B, A) => r4_rfunct_4(B, A)) ) ) ) ).
fof(t24_rfunct_4, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r4_rfunct_4(B, A) => r2_rfunct_4(B, A)) ) ) ) ).
fof(t25_rfunct_4, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r2_rfunct_3(B, A) => r3_rfunct_4(B, A)) ) ) ) ).
fof(t26_rfunct_4, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r4_rfunct_4(B, A) => r3_rfunct_4(B, A)) ) ) ) ).
fof(t27_rfunct_4, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r3_rfunct_4(B, A) & v2_funct_1(B))  => r4_rfunct_4(B, A)) ) ) ) ).
fof(t1_rinfsup1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( ( ~ (r1_xxreal_0(C, k6_xcmplx_0(B, A)))  &  ~ (r1_xxreal_0(k2_xcmplx_0(B, A), C)) )  <=>  ~ (r1_xxreal_0(A, k9_complex1(k6_xcmplx_0(C, B)))) ) ) ) ) ) ) ) ).
fof(d1_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  => k1_rinfsup1(A)=k2_seq_4(k2_relset_1(k1_numbers, A))) ) ).
fof(d2_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  => k2_rinfsup1(A)=k3_seq_4(k2_relset_1(k1_numbers, A))) ) ).
fof(t2_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  => r2_funct_2(k4_ordinal1, k1_numbers, k47_valued_1(k4_ordinal1, k1_numbers, k1_numbers, k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B), B), A)) ) ) ) ).
fof(t3_rinfsup1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (r2_hidden(A, k2_relset_1(k1_numbers, B)) <=> r2_hidden(k4_xcmplx_0(A), k2_relset_1(k1_numbers, k32_valued_1(k4_ordinal1, k1_numbers, B)))) ) ) ) ) ).
fof(t4_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  => k2_relset_1(k1_numbers, k32_valued_1(k4_ordinal1, k1_numbers, A))=k5_member_1(k2_relset_1(k1_numbers, A))) ) ).
fof(t5_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_seq_2(A) <=> v4_xxreal_2(k2_relset_1(k1_numbers, A))) ) ) ).
fof(t6_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v2_seq_2(A) <=> v3_xxreal_2(k2_relset_1(k1_numbers, A))) ) ) ).
fof(t7_rinfsup1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_seq_2(B) =>  (A=k1_rinfsup1(B) <=>  ( (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k1_funct_1(B, C), A)) )  &  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k1_funct_1(B, D), k6_xcmplx_0(A, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_rinfsup1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v2_seq_2(B) =>  (A=k2_rinfsup1(B) <=>  ( (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(A, k1_funct_1(B, C))) )  &  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k2_xcmplx_0(A, C), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_rinfsup1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k1_funct_1(B, C), A)) )  <=>  (v1_seq_2(B) & r1_xxreal_0(k1_rinfsup1(B), A)) ) ) ) ) ) ).
fof(t10_rinfsup1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(A, k1_funct_1(B, C))) )  <=>  (v2_seq_2(B) & r1_xxreal_0(A, k2_rinfsup1(B))) ) ) ) ) ) ).
fof(t11_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_seq_2(A) <=> v2_seq_2(k32_valued_1(k4_ordinal1, k1_numbers, A))) ) ) ).
fof(t12_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v2_seq_2(A) <=> v1_seq_2(k32_valued_1(k4_ordinal1, k1_numbers, A))) ) ) ).
fof(t13_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_seq_2(A) => k1_rinfsup1(A)=k4_xcmplx_0(k2_rinfsup1(k32_valued_1(k4_ordinal1, k1_numbers, A)))) ) ) ).
fof(t14_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v2_seq_2(A) => k2_rinfsup1(A)=k4_xcmplx_0(k1_rinfsup1(k32_valued_1(k4_ordinal1, k1_numbers, A)))) ) ) ).
fof(t15_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_seq_2(A) & v2_seq_2(B))  => r1_xxreal_0(k2_xcmplx_0(k2_rinfsup1(A), k2_rinfsup1(B)), k2_rinfsup1(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ).
fof(t16_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v1_seq_2(A) & v1_seq_2(B))  => r1_xxreal_0(k1_rinfsup1(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B)), k2_xcmplx_0(k1_rinfsup1(A), k1_rinfsup1(B)))) ) ) ) ) ).
fof(d3_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v4_partfun3(A) <=>  (! [B] :  (v7_ordinal1(B) => r1_xxreal_0(k5_numbers, k1_funct_1(A, B))) ) ) ) ) ).
fof(t17_rinfsup1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v4_partfun3(B) => v4_partfun3(k1_valued_0(k1_numbers, B, A))) ) ) ) ) ).
fof(t18_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_seq_2(A) & v4_partfun3(A))  => r1_xxreal_0(k5_numbers, k2_rinfsup1(A))) ) ) ).
fof(t19_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v1_seq_2(A) & v4_partfun3(A))  => r1_xxreal_0(k5_numbers, k1_rinfsup1(A))) ) ) ).
fof(t20_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_seq_2(A) &  (v4_partfun3(A) &  (v2_seq_2(B) & v4_partfun3(B)) ) )  =>  (v2_seq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B)) & r1_xxreal_0(k3_xcmplx_0(k2_rinfsup1(A), k2_rinfsup1(B)), k2_rinfsup1(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B)))) ) ) ) ) ) ).
fof(t21_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v1_seq_2(A) &  (v4_partfun3(A) &  (v1_seq_2(B) & v4_partfun3(B)) ) )  =>  (v1_seq_2(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B)) & r1_xxreal_0(k1_rinfsup1(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B)), k3_xcmplx_0(k1_rinfsup1(A), k1_rinfsup1(B)))) ) ) ) ) ) ).
fof(t22_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v7_valued_0(A) & v1_seq_2(A))  => v1_comseq_2(A)) ) ) ).
fof(t23_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v8_valued_0(A) & v2_seq_2(A))  => v1_comseq_2(A)) ) ) ).
fof(t24_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v7_valued_0(A) & v1_seq_2(A))  => k1_seq_2(A)=k1_rinfsup1(A)) ) ) ).
fof(t25_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v8_valued_0(A) & v2_seq_2(A))  => k1_seq_2(A)=k2_rinfsup1(A)) ) ) ).
fof(t26_rinfsup1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_seq_2(B) => v1_seq_2(k1_valued_0(k1_numbers, B, A))) ) ) ) ) ).
fof(t27_rinfsup1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v2_seq_2(B) => v2_seq_2(k1_valued_0(k1_numbers, B, A))) ) ) ) ) ).
fof(t28_rinfsup1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_comseq_2(B) => v1_comseq_2(k1_valued_0(k1_numbers, B, A))) ) ) ) ) ).
fof(t36_rinfsup1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  => k1_funct_1(k3_rinfsup1(B), A)=k2_rinfsup1(k1_valued_0(k1_numbers, B, A))) ) ) ) ).
fof(t37_rinfsup1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  => k1_funct_1(k4_rinfsup1(B), A)=k1_rinfsup1(k1_valued_0(k1_numbers, B, A))) ) ) ) ).
fof(t38_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v2_seq_2(A) => k3_funct_2(k4_ordinal1, k1_numbers, k3_rinfsup1(A), k5_numbers)=k2_rinfsup1(A)) ) ) ).
fof(t39_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_seq_2(A) => k3_funct_2(k4_ordinal1, k1_numbers, k4_rinfsup1(A), k5_numbers)=k1_rinfsup1(A)) ) ) ).
fof(t40_rinfsup1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v2_seq_2(C) =>  (B=k1_funct_1(k3_rinfsup1(C), A) <=>  ( (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(B, k1_funct_1(C, k2_xcmplx_0(A, D)))) )  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v7_ordinal1(E) => r1_xxreal_0(k2_xcmplx_0(B, D), k1_funct_1(C, k2_xcmplx_0(A, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_rinfsup1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_seq_2(C) =>  (B=k1_funct_1(k4_rinfsup1(C), A) <=>  ( (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k1_funct_1(C, k2_xcmplx_0(A, D)), B)) )  &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v7_ordinal1(E) => r1_xxreal_0(k1_funct_1(C, k2_xcmplx_0(A, E)), k6_xcmplx_0(B, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_rinfsup1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v2_seq_2(C) =>  ( (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(B, k1_funct_1(C, k2_xcmplx_0(A, D)))) )  <=> r1_xxreal_0(B, k1_funct_1(k3_rinfsup1(C), A))) ) ) ) ) ) ) ) ).
fof(t43_rinfsup1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v2_seq_2(C) =>  ( (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(A, D) => r1_xxreal_0(B, k1_funct_1(C, D))) ) )  <=> r1_xxreal_0(B, k1_funct_1(k3_rinfsup1(C), A))) ) ) ) ) ) ) ) ).
fof(t44_rinfsup1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_seq_2(C) =>  ( (! [D] :  (v7_ordinal1(D) => r1_xxreal_0(k1_funct_1(C, k2_xcmplx_0(A, D)), B)) )  <=> r1_xxreal_0(k1_funct_1(k4_rinfsup1(C), A), B)) ) ) ) ) ) ) ) ).
fof(t45_rinfsup1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_seq_2(C) =>  ( (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(A, D) => r1_xxreal_0(k1_funct_1(C, D), B)) ) )  <=> r1_xxreal_0(k1_funct_1(k4_rinfsup1(C), A), B)) ) ) ) ) ) ) ) ).
fof(t46_rinfsup1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v2_seq_2(B) => k1_funct_1(k3_rinfsup1(B), A)=k3_xxreal_0(k3_funct_2(k4_ordinal1, k1_numbers, k3_rinfsup1(B), k1_nat_1(A, 1)), k1_funct_1(B, A))) ) ) ) ) ).
fof(t47_rinfsup1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_seq_2(B) => k1_funct_1(k4_rinfsup1(B), A)=k4_xxreal_0(k3_funct_2(k4_ordinal1, k1_numbers, k4_rinfsup1(B), k1_nat_1(A, 1)), k1_funct_1(B, A))) ) ) ) ) ).
fof(t48_rinfsup1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v2_seq_2(B) => r1_xxreal_0(k1_funct_1(k3_rinfsup1(B), A), k3_funct_2(k4_ordinal1, k1_numbers, k3_rinfsup1(B), k1_nat_1(A, 1)))) ) ) ) ) ).
fof(t49_rinfsup1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_seq_2(B) => r1_xxreal_0(k3_funct_2(k4_ordinal1, k1_numbers, k4_rinfsup1(B), k1_nat_1(A, 1)), k1_funct_1(k4_rinfsup1(B), A))) ) ) ) ) ).
fof(t50_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v2_seq_2(A) => v7_valued_0(k3_rinfsup1(A))) ) ) ).
fof(t51_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_seq_2(A) => v8_valued_0(k4_rinfsup1(A))) ) ) ).
fof(t52_rinfsup1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_comseq_2(B) => r1_xxreal_0(k1_funct_1(k3_rinfsup1(B), A), k1_funct_1(k4_rinfsup1(B), A))) ) ) ) ) ).
fof(t53_rinfsup1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_comseq_2(B) => r1_xxreal_0(k1_funct_1(k3_rinfsup1(B), A), k2_rinfsup1(k4_rinfsup1(B)))) ) ) ) ) ).
fof(t54_rinfsup1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_comseq_2(B) => r1_xxreal_0(k1_rinfsup1(k3_rinfsup1(B)), k1_funct_1(k4_rinfsup1(B), A))) ) ) ) ) ).
fof(t55_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_comseq_2(A) => r1_xxreal_0(k1_rinfsup1(k3_rinfsup1(A)), k2_rinfsup1(k4_rinfsup1(A)))) ) ) ).
fof(t56_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_comseq_2(A) =>  (v1_comseq_2(k4_rinfsup1(A)) & v1_comseq_2(k3_rinfsup1(A))) ) ) ) ).
fof(t57_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_comseq_2(A) =>  (v2_comseq_2(k3_rinfsup1(A)) & k1_seq_2(k3_rinfsup1(A))=k1_rinfsup1(k3_rinfsup1(A))) ) ) ) ).
fof(t58_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_comseq_2(A) =>  (v2_comseq_2(k4_rinfsup1(A)) & k1_seq_2(k4_rinfsup1(A))=k2_rinfsup1(k4_rinfsup1(A))) ) ) ) ).
fof(t59_rinfsup1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v2_seq_2(B) => k1_funct_1(k3_rinfsup1(B), A)=k4_xcmplx_0(k1_funct_1(k4_rinfsup1(k32_valued_1(k4_ordinal1, k1_numbers, B)), A))) ) ) ) ) ).
fof(t60_rinfsup1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_seq_2(B) => k1_funct_1(k4_rinfsup1(B), A)=k4_xcmplx_0(k1_funct_1(k3_rinfsup1(k32_valued_1(k4_ordinal1, k1_numbers, B)), A))) ) ) ) ) ).
fof(t61_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v2_seq_2(A) => r2_funct_2(k4_ordinal1, k1_numbers, k3_rinfsup1(A), k32_valued_1(k4_ordinal1, k1_numbers, k4_rinfsup1(k32_valued_1(k4_ordinal1, k1_numbers, A))))) ) ) ).
fof(t62_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_seq_2(A) => r2_funct_2(k4_ordinal1, k1_numbers, k4_rinfsup1(A), k32_valued_1(k4_ordinal1, k1_numbers, k3_rinfsup1(k32_valued_1(k4_ordinal1, k1_numbers, A))))) ) ) ).
fof(t63_rinfsup1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v7_valued_0(B) => r1_xxreal_0(k1_funct_1(B, A), k3_funct_2(k4_ordinal1, k1_numbers, k3_rinfsup1(B), k1_nat_1(A, 1)))) ) ) ) ) ).
fof(t64_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v7_valued_0(A) => r2_funct_2(k4_ordinal1, k1_numbers, k3_rinfsup1(A), A)) ) ) ).
fof(t65_rinfsup1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v7_valued_0(B) & v1_seq_2(B))  => r1_xxreal_0(k1_funct_1(B, A), k3_funct_2(k4_ordinal1, k1_numbers, k4_rinfsup1(B), k1_nat_1(A, 1)))) ) ) ) ) ).
fof(t66_rinfsup1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v7_valued_0(B) & v1_seq_2(B))  => k1_funct_1(k4_rinfsup1(B), A)=k3_funct_2(k4_ordinal1, k1_numbers, k4_rinfsup1(B), k1_nat_1(A, 1))) ) ) ) ) ).
fof(t67_rinfsup1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v7_valued_0(B) & v1_seq_2(B))  =>  (k1_funct_1(k4_rinfsup1(B), A)=k1_rinfsup1(B) & v3_funct_1(k4_rinfsup1(B))) ) ) ) ) ) ).
fof(t68_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v7_valued_0(A) & v1_seq_2(A))  => k2_rinfsup1(k4_rinfsup1(A))=k1_rinfsup1(A)) ) ) ).
fof(t69_rinfsup1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v8_valued_0(B) => r1_xxreal_0(k3_funct_2(k4_ordinal1, k1_numbers, k4_rinfsup1(B), k1_nat_1(A, 1)), k1_funct_1(B, A))) ) ) ) ) ).
fof(t70_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v8_valued_0(A) => r2_funct_2(k4_ordinal1, k1_numbers, k4_rinfsup1(A), A)) ) ) ).
fof(t71_rinfsup1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v8_valued_0(B) & v2_seq_2(B))  => r1_xxreal_0(k3_funct_2(k4_ordinal1, k1_numbers, k3_rinfsup1(B), k1_nat_1(A, 1)), k1_funct_1(B, A))) ) ) ) ) ).
fof(t72_rinfsup1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v8_valued_0(B) & v2_seq_2(B))  => k1_funct_1(k3_rinfsup1(B), A)=k3_funct_2(k4_ordinal1, k1_numbers, k3_rinfsup1(B), k1_nat_1(A, 1))) ) ) ) ) ).
fof(t73_rinfsup1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v8_valued_0(B) & v2_seq_2(B))  =>  (k1_funct_1(k3_rinfsup1(B), A)=k2_rinfsup1(B) & v3_funct_1(k3_rinfsup1(B))) ) ) ) ) ) ).
fof(t74_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v8_valued_0(A) & v2_seq_2(A))  => k1_rinfsup1(k3_rinfsup1(A))=k2_rinfsup1(A)) ) ) ).
fof(t75_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v1_comseq_2(A) &  (v1_comseq_2(B) &  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k1_funct_1(A, C), k1_funct_1(B, C))) ) ) )  =>  ( (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k1_funct_1(k4_rinfsup1(A), C), k1_funct_1(k4_rinfsup1(B), C))) )  &  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k1_funct_1(k3_rinfsup1(A), C), k1_funct_1(k3_rinfsup1(B), C))) ) ) ) ) ) ) ) ).
fof(t76_rinfsup1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_seq_2(B) & v2_seq_2(C))  => r1_xxreal_0(k2_xcmplx_0(k1_funct_1(k3_rinfsup1(B), A), k1_funct_1(k3_rinfsup1(C), A)), k1_funct_1(k3_rinfsup1(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, B, C)), A))) ) ) ) ) ) ) ).
fof(t77_rinfsup1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v1_seq_2(B) & v1_seq_2(C))  => r1_xxreal_0(k1_funct_1(k4_rinfsup1(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, B, C)), A), k2_xcmplx_0(k1_funct_1(k4_rinfsup1(B), A), k1_funct_1(k4_rinfsup1(C), A)))) ) ) ) ) ) ) ).
fof(t78_rinfsup1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_seq_2(B) &  (v4_partfun3(B) &  (v2_seq_2(C) & v4_partfun3(C)) ) )  => r1_xxreal_0(k3_xcmplx_0(k1_funct_1(k3_rinfsup1(B), A), k1_funct_1(k3_rinfsup1(C), A)), k1_funct_1(k3_rinfsup1(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, B, C)), A))) ) ) ) ) ) ) ).
fof(t79_rinfsup1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v2_seq_2(B) &  (v4_partfun3(B) &  (v2_seq_2(C) & v4_partfun3(C)) ) )  => r1_xxreal_0(k3_xcmplx_0(k1_funct_1(k3_rinfsup1(B), A), k1_funct_1(k3_rinfsup1(C), A)), k1_funct_1(k3_rinfsup1(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, B, C)), A))) ) ) ) ) ) ) ).
fof(t80_rinfsup1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v1_seq_2(B) &  (v4_partfun3(B) &  (v1_seq_2(C) & v4_partfun3(C)) ) )  => r1_xxreal_0(k1_funct_1(k4_rinfsup1(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, B, C)), A), k3_xcmplx_0(k1_funct_1(k4_rinfsup1(B), A), k1_funct_1(k4_rinfsup1(C), A)))) ) ) ) ) ) ) ).
fof(d6_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  => k5_rinfsup1(A)=k2_rinfsup1(k4_rinfsup1(A))) ) ).
fof(d7_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  => k6_rinfsup1(A)=k1_rinfsup1(k3_rinfsup1(A))) ) ).
fof(t81_rinfsup1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_comseq_2(B) =>  (r1_xxreal_0(k6_rinfsup1(B), A) <=>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (! [E] :  (v7_ordinal1(E) => r1_xxreal_0(k2_xcmplx_0(A, C), k1_funct_1(B, k2_xcmplx_0(D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t82_rinfsup1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_comseq_2(B) =>  (r1_xxreal_0(A, k6_rinfsup1(B)) <=>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) & r1_xxreal_0(k1_funct_1(B, k2_xcmplx_0(D, E)), k6_xcmplx_0(A, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t83_rinfsup1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_comseq_2(B) =>  (A=k6_rinfsup1(B) <=>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  =>  ( (! [D] :  (v7_ordinal1(D) =>  ~ ( (! [E] :  (v7_ordinal1(E) => r1_xxreal_0(k2_xcmplx_0(A, C), k1_funct_1(B, k2_xcmplx_0(D, E)))) ) ) ) )  &  (? [D] :  (v7_ordinal1(D) &  (! [E] :  (v7_ordinal1(E) =>  ~ (r1_xxreal_0(k1_funct_1(B, k2_xcmplx_0(D, E)), k6_xcmplx_0(A, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t84_rinfsup1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_comseq_2(B) =>  (r1_xxreal_0(A, k5_rinfsup1(B)) <=>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (! [E] :  (v7_ordinal1(E) => r1_xxreal_0(k1_funct_1(B, k2_xcmplx_0(D, E)), k6_xcmplx_0(A, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t85_rinfsup1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_comseq_2(B) =>  (r1_xxreal_0(k5_rinfsup1(B), A) <=>  (! [C] :  (v1_xreal_0(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  (! [D] :  (v7_ordinal1(D) =>  (? [E] :  (v7_ordinal1(E) & r1_xxreal_0(k2_xcmplx_0(A, C), k1_funct_1(B, k2_xcmplx_0(D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t86_rinfsup1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_comseq_2(B) =>  (A=k5_rinfsup1(B) <=>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(C, k5_numbers))  =>  ( (! [D] :  (v7_ordinal1(D) =>  ~ ( (! [E] :  (v7_ordinal1(E) => r1_xxreal_0(k1_funct_1(B, k2_xcmplx_0(D, E)), k6_xcmplx_0(A, C))) ) ) ) )  &  (? [D] :  (v7_ordinal1(D) &  (! [E] :  (v7_ordinal1(E) =>  ~ (r1_xxreal_0(k2_xcmplx_0(A, C), k1_funct_1(B, k2_xcmplx_0(D, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t87_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_comseq_2(A) => r1_xxreal_0(k6_rinfsup1(A), k5_rinfsup1(A))) ) ) ).
fof(t88_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v1_comseq_2(A) & k5_rinfsup1(A)=k6_rinfsup1(A))  <=> v2_comseq_2(A)) ) ) ).
fof(t89_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v2_comseq_2(A) =>  (k1_seq_2(A)=k5_rinfsup1(A) & k1_seq_2(A)=k6_rinfsup1(A)) ) ) ) ).
fof(t90_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_comseq_2(A) =>  (k5_rinfsup1(k32_valued_1(k4_ordinal1, k1_numbers, A))=k4_xcmplx_0(k6_rinfsup1(A)) & k6_rinfsup1(k32_valued_1(k4_ordinal1, k1_numbers, A))=k4_xcmplx_0(k5_rinfsup1(A))) ) ) ) ).
fof(t91_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v1_comseq_2(A) &  (v1_comseq_2(B) &  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k1_funct_1(A, C), k1_funct_1(B, C))) ) ) )  =>  (r1_xxreal_0(k5_rinfsup1(A), k5_rinfsup1(B)) & r1_xxreal_0(k6_rinfsup1(A), k6_rinfsup1(B))) ) ) ) ) ) ).
fof(t92_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v1_comseq_2(A) & v1_comseq_2(B))  =>  (r1_xxreal_0(k2_xcmplx_0(k6_rinfsup1(A), k6_rinfsup1(B)), k6_rinfsup1(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B))) &  (r1_xxreal_0(k6_rinfsup1(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B)), k2_xcmplx_0(k6_rinfsup1(A), k5_rinfsup1(B))) &  (r1_xxreal_0(k6_rinfsup1(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B)), k2_xcmplx_0(k5_rinfsup1(A), k6_rinfsup1(B))) &  (r1_xxreal_0(k2_xcmplx_0(k6_rinfsup1(A), k5_rinfsup1(B)), k5_rinfsup1(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B))) &  (r1_xxreal_0(k2_xcmplx_0(k5_rinfsup1(A), k6_rinfsup1(B)), k5_rinfsup1(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B))) &  (r1_xxreal_0(k5_rinfsup1(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B)), k2_xcmplx_0(k5_rinfsup1(A), k5_rinfsup1(B))) &  ( (v2_comseq_2(A) | v2_comseq_2(B))  =>  (k6_rinfsup1(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B))=k2_xcmplx_0(k6_rinfsup1(A), k6_rinfsup1(B)) & k5_rinfsup1(k3_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B))=k2_xcmplx_0(k5_rinfsup1(A), k5_rinfsup1(B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t93_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (v1_comseq_2(A) &  (v4_partfun3(A) &  (v1_comseq_2(B) & v4_partfun3(B)) ) )  =>  (r1_xxreal_0(k3_xcmplx_0(k6_rinfsup1(A), k6_rinfsup1(B)), k6_rinfsup1(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B))) & r1_xxreal_0(k5_rinfsup1(k20_valued_1(k4_ordinal1, k1_numbers, k1_numbers, A, B)), k3_xcmplx_0(k5_rinfsup1(A), k5_rinfsup1(B)))) ) ) ) ) ) ).
fof(dt_k1_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  => v1_xreal_0(k1_rinfsup1(A))) ) ).
fof(dt_k2_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  => v1_xreal_0(k2_rinfsup1(A))) ) ).
fof(dt_k3_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_funct_1(k3_rinfsup1(A)) &  (v1_funct_2(k3_rinfsup1(A), k4_ordinal1, k1_numbers) & m1_subset_1(k3_rinfsup1(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k4_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_funct_1(k4_rinfsup1(A)) &  (v1_funct_2(k4_rinfsup1(A), k4_ordinal1, k1_numbers) & m1_subset_1(k4_rinfsup1(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k5_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  => v1_xreal_0(k5_rinfsup1(A))) ) ).
fof(dt_k6_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  => v1_xreal_0(k6_rinfsup1(A))) ) ).
fof(t29_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) => m1_subset_1(a_2_0_rinfsup1(A, B), k1_zfmisc_1(k1_numbers))) ) ) ) ).
fof(t30_rinfsup1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  => k2_relset_1(k1_numbers, k1_valued_0(k1_numbers, B, A))=a_2_1_rinfsup1(A, B)) ) ) ) ).
fof(t31_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_seq_2(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_numbers)) =>  (C=a_2_0_rinfsup1(A, B) => v4_xxreal_2(C)) ) ) ) ) ) ) ) ).
fof(t32_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v2_seq_2(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_numbers)) =>  (C=a_2_0_rinfsup1(A, B) => v3_xxreal_2(C)) ) ) ) ) ) ) ) ).
fof(t33_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_comseq_2(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_numbers)) =>  (C=a_2_0_rinfsup1(A, B) => v5_xxreal_2(C)) ) ) ) ) ) ) ) ).
fof(t34_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v7_valued_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_numbers)) =>  (C=a_2_0_rinfsup1(A, B) => k3_seq_4(C)=k1_funct_1(A, B)) ) ) ) ) ) ) ) ).
fof(t35_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v8_valued_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_numbers)) =>  (C=a_2_0_rinfsup1(A, B) => k2_seq_4(C)=k1_funct_1(A, B)) ) ) ) ) ) ) ) ).
fof(d4_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (B=k3_rinfsup1(A) <=>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_numbers)) =>  (D=a_2_0_rinfsup1(A, C) => k1_funct_1(B, C)=k3_seq_4(D)) ) ) ) ) ) ) ) ) ) ).
fof(d5_rinfsup1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (B=k4_rinfsup1(A) <=>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_numbers)) =>  (D=a_2_0_rinfsup1(A, C) => k1_funct_1(B, C)=k2_seq_4(D)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_rinfsup1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  & v7_ordinal1(C))  =>  (r2_hidden(A, a_2_0_rinfsup1(B, C)) <=>  (? [D] :  (v7_ordinal1(D) &  (A=k1_funct_1(B, D) & r1_xxreal_0(C, D)) ) ) ) ) ) ).
fof(fraenkel_a_2_1_rinfsup1, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) )  =>  (r2_hidden(A, a_2_1_rinfsup1(B, C)) <=>  (? [D] :  (v7_ordinal1(D) &  (A=k1_funct_1(C, D) & r1_xxreal_0(B, D)) ) ) ) ) ) ).
fof(fc1_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (v1_funct_1(k4_rinfsup2(A)) &  (v1_funct_2(k4_rinfsup2(A), k4_ordinal1, k6_numbers) & v8_valued_0(k4_rinfsup2(A))) ) ) ) ).
fof(fc2_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (v1_funct_1(k3_rinfsup2(A)) &  (v1_funct_2(k3_rinfsup2(A), k4_ordinal1, k6_numbers) & v7_valued_0(k3_rinfsup2(A))) ) ) ) ).
fof(t1_rinfsup2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k6_numbers)))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  ( (A=B & v4_xxreal_2(B))  =>  (v4_xxreal_2(A) & k8_supinf_2(A)=k2_seq_4(B)) ) ) ) ) ) ).
fof(t2_rinfsup2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k6_numbers)))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  ( (A=B & v4_xxreal_2(A))  =>  (v4_xxreal_2(B) & k8_supinf_2(A)=k2_seq_4(B)) ) ) ) ) ) ).
fof(t3_rinfsup2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k6_numbers)))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  ( (A=B & v3_xxreal_2(B))  =>  (v3_xxreal_2(A) & k7_supinf_2(A)=k3_seq_4(B)) ) ) ) ) ) ).
fof(t4_rinfsup2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k6_numbers)))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_numbers)))  =>  ( (A=B & v3_xxreal_2(A))  =>  (v3_xxreal_2(B) & k7_supinf_2(A)=k3_seq_4(B)) ) ) ) ) ) ).
fof(d1_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  => k1_rinfsup2(A)=k8_supinf_2(k15_supinf_2(A))) ) ).
fof(d2_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  => k2_rinfsup2(A)=k7_supinf_2(k15_supinf_2(A))) ) ).
fof(d3_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (v1_rinfsup2(A) <=> v3_xxreal_2(k15_supinf_2(A))) ) ) ).
fof(d4_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (v2_rinfsup2(A) <=> v4_xxreal_2(k15_supinf_2(A))) ) ) ).
fof(d5_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (v3_rinfsup2(A) <=>  (v2_rinfsup2(A) & v1_rinfsup2(A)) ) ) ) ).
fof(t6_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (v3_valued_0(A) =>  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ) ).
fof(t7_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( (v5_valued_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(B, C))  & r1_xxreal_0(k12_supinf_2(A, B), k12_supinf_2(A, C))) ) ) ) ) ) )  &  ( ( (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(B, C))  & r1_xxreal_0(k12_supinf_2(A, B), k12_supinf_2(A, C))) ) ) ) ) )  => v5_valued_0(A))  &  ( (v6_valued_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(B, C))  & r1_xxreal_0(k12_supinf_2(A, C), k12_supinf_2(A, B))) ) ) ) ) ) )  &  ( ( (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(B, C))  & r1_xxreal_0(k12_supinf_2(A, C), k12_supinf_2(A, B))) ) ) ) ) )  => v6_valued_0(A))  &  ( (v7_valued_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(C, B) => r1_xxreal_0(k12_supinf_2(A, C), k12_supinf_2(A, B))) ) ) ) ) )  &  ( ( (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(C, B) => r1_xxreal_0(k12_supinf_2(A, C), k12_supinf_2(A, B))) ) ) ) )  => v7_valued_0(A))  &  ( (v8_valued_0(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(C, B) => r1_xxreal_0(k12_supinf_2(A, B), k12_supinf_2(A, C))) ) ) ) ) )  &  ( (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(C, B) => r1_xxreal_0(k12_supinf_2(A, B), k12_supinf_2(A, C))) ) ) ) )  => v8_valued_0(A)) ) ) ) ) ) ) ) ) ) ).
fof(t8_rinfsup2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (r1_xxreal_0(k12_supinf_2(k3_rinfsup2(B), A), k12_supinf_2(B, A)) & r1_xxreal_0(k12_supinf_2(B, A), k12_supinf_2(k4_rinfsup2(B), A))) ) ) ) ) ).
fof(d8_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  => k5_rinfsup2(A)=k2_rinfsup2(k4_rinfsup2(A))) ) ).
fof(d9_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  => k6_rinfsup2(A)=k1_rinfsup2(k3_rinfsup2(A))) ) ).
fof(t9_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (r1_funct_2(k4_ordinal1, k6_numbers, k4_ordinal1, k1_numbers, A, B) & v1_comseq_2(B))  =>  (r1_funct_2(k4_ordinal1, k6_numbers, k4_ordinal1, k1_numbers, k4_rinfsup2(A), k4_rinfsup1(B)) & k5_rinfsup2(A)=k5_rinfsup1(B)) ) ) ) ) ) ).
fof(t10_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (r1_funct_2(k4_ordinal1, k6_numbers, k4_ordinal1, k1_numbers, A, B) & v1_comseq_2(B))  =>  (r1_funct_2(k4_ordinal1, k6_numbers, k4_ordinal1, k1_numbers, k3_rinfsup2(A), k3_rinfsup1(B)) & k6_rinfsup2(A)=k6_rinfsup1(B)) ) ) ) ) ) ).
fof(t11_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (v3_rinfsup2(A) =>  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ) ).
fof(t12_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (r1_funct_2(k4_ordinal1, k6_numbers, k4_ordinal1, k1_numbers, A, B) =>  (v2_rinfsup2(A) <=> v1_seq_2(B)) ) ) ) ) ) ).
fof(t13_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (r1_funct_2(k4_ordinal1, k6_numbers, k4_ordinal1, k1_numbers, A, B) =>  (v1_rinfsup2(A) <=> v2_seq_2(B)) ) ) ) ) ) ).
fof(t14_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (r1_funct_2(k4_ordinal1, k6_numbers, k4_ordinal1, k1_numbers, A, B) & v2_comseq_2(B))  =>  (v7_mesfunc5(A) &  (v10_mesfunc5(A) & k2_mesfunc5(A)=k1_seq_2(B)) ) ) ) ) ) ) ).
fof(t15_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (r1_funct_2(k4_ordinal1, k6_numbers, k4_ordinal1, k1_numbers, A, B) & v7_mesfunc5(A))  =>  (v2_comseq_2(B) & k2_mesfunc5(A)=k1_seq_2(B)) ) ) ) ) ) ).
fof(t16_rinfsup2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (v7_mesfunc5(k1_valued_0(k6_numbers, B, A)) =>  (v7_mesfunc5(B) &  (v10_mesfunc5(B) & k2_mesfunc5(B)=k2_mesfunc5(k1_valued_0(k6_numbers, B, A))) ) ) ) ) ) ) ).
fof(t17_rinfsup2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (v10_mesfunc5(k1_valued_0(k6_numbers, B, A)) =>  (v10_mesfunc5(B) & k2_mesfunc5(B)=k2_mesfunc5(k1_valued_0(k6_numbers, B, A))) ) ) ) ) ) ).
fof(t18_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ~ ( (k5_rinfsup2(A)=k6_rinfsup2(A) &  (r2_tarski(k6_rinfsup2(A), k1_numbers) &  (! [B] :  (v7_ordinal1(B) =>  ~ (v3_rinfsup2(k1_valued_0(k6_numbers, A, B))) ) ) ) ) ) ) ) ).
fof(t19_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ~ ( (v7_mesfunc5(A) &  (! [B] :  (v7_ordinal1(B) =>  ~ (v3_rinfsup2(k1_valued_0(k6_numbers, A, B))) ) ) ) ) ) ) ).
fof(t20_rinfsup2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (v7_mesfunc5(B) =>  (v7_mesfunc5(k1_valued_0(k6_numbers, B, A)) &  (v10_mesfunc5(k1_valued_0(k6_numbers, B, A)) & k2_mesfunc5(B)=k2_mesfunc5(k1_valued_0(k6_numbers, B, A))) ) ) ) ) ) ) ).
fof(t21_rinfsup2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (v10_mesfunc5(B) =>  (v10_mesfunc5(k1_valued_0(k6_numbers, B, A)) & k2_mesfunc5(B)=k2_mesfunc5(k1_valued_0(k6_numbers, B, A))) ) ) ) ) ) ).
fof(t22_rinfsup2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( (v2_rinfsup2(B) => v2_rinfsup2(k1_valued_0(k6_numbers, B, A)))  &  (v1_rinfsup2(B) => v1_rinfsup2(k1_valued_0(k6_numbers, B, A))) ) ) ) ) ) ).
fof(t23_rinfsup2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (r1_xxreal_0(k2_rinfsup2(B), k12_supinf_2(B, A)) & r1_xxreal_0(k12_supinf_2(B, A), k1_rinfsup2(B))) ) ) ) ) ).
fof(t24_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  => r1_xxreal_0(k2_rinfsup2(A), k1_rinfsup2(A))) ) ).
fof(t25_rinfsup2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (v8_valued_0(B) =>  (v8_valued_0(k1_valued_0(k6_numbers, B, A)) & k2_rinfsup2(B)=k2_rinfsup2(k1_valued_0(k6_numbers, B, A))) ) ) ) ) ) ).
fof(t26_rinfsup2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (v7_valued_0(B) =>  (v7_valued_0(k1_valued_0(k6_numbers, B, A)) & k1_rinfsup2(B)=k1_rinfsup2(k1_valued_0(k6_numbers, B, A))) ) ) ) ) ) ).
fof(t27_rinfsup2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (k12_supinf_2(k4_rinfsup2(B), A)=k1_rinfsup2(k1_valued_0(k6_numbers, B, A)) & k12_supinf_2(k3_rinfsup2(B), A)=k2_rinfsup2(k1_valued_0(k6_numbers, B, A))) ) ) ) ) ).
fof(t28_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (r2_funct_2(k4_ordinal1, k6_numbers, k4_rinfsup2(k1_valued_0(k6_numbers, A, B)), k1_valued_0(k6_numbers, k4_rinfsup2(A), B)) & k5_rinfsup2(k1_valued_0(k6_numbers, A, B))=k5_rinfsup2(A)) ) ) ) ) ).
fof(t29_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (r2_funct_2(k4_ordinal1, k6_numbers, k3_rinfsup2(k1_valued_0(k6_numbers, A, B)), k1_valued_0(k6_numbers, k3_rinfsup2(A), B)) & k6_rinfsup2(k1_valued_0(k6_numbers, A, B))=k6_rinfsup2(A)) ) ) ) ) ).
fof(t30_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (v8_valued_0(A) =>  (r1_xxreal_0(k12_supinf_2(A, B), k2_supinf_1) |  (r1_xxreal_0(k1_supinf_1, k12_supinf_2(A, B)) |  (v2_rinfsup2(k1_valued_0(k6_numbers, A, B)) & k1_rinfsup2(k1_valued_0(k6_numbers, A, B))=k12_supinf_2(A, B)) ) ) ) ) ) ) ) ).
fof(t31_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (v7_valued_0(A) =>  (r1_xxreal_0(k12_supinf_2(A, B), k2_supinf_1) |  (r1_xxreal_0(k1_supinf_1, k12_supinf_2(A, B)) |  (v1_rinfsup2(k1_valued_0(k6_numbers, A, B)) & k2_rinfsup2(k1_valued_0(k6_numbers, A, B))=k12_supinf_2(A, B)) ) ) ) ) ) ) ) ).
fof(t32_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( (! [B] :  (m1_subset_1(B, k4_ordinal1) => r1_xxreal_0(k1_supinf_1, k12_supinf_2(A, B))) )  => v8_mesfunc5(A)) ) ) ).
fof(t33_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( (! [B] :  (m1_subset_1(B, k4_ordinal1) => r1_xxreal_0(k12_supinf_2(A, B), k2_supinf_1)) )  => v9_mesfunc5(A)) ) ) ).
fof(t34_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( (v8_valued_0(A) & k2_supinf_1=k2_rinfsup2(A))  =>  (v9_mesfunc5(A) & k2_mesfunc5(A)=k2_supinf_1) ) ) ) ).
fof(t35_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( (v7_valued_0(A) & k1_supinf_1=k1_rinfsup2(A))  =>  (v8_mesfunc5(A) & k2_mesfunc5(A)=k1_supinf_1) ) ) ) ).
fof(t36_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (v8_valued_0(A) =>  (v10_mesfunc5(A) & k2_mesfunc5(A)=k2_rinfsup2(A)) ) ) ) ).
fof(t37_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (v7_valued_0(A) =>  (v10_mesfunc5(A) & k2_mesfunc5(A)=k1_rinfsup2(A)) ) ) ) ).
fof(t38_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  ( (v10_mesfunc5(A) &  (v10_mesfunc5(B) &  (! [C] :  (v7_ordinal1(C) => r1_xxreal_0(k12_supinf_2(A, C), k12_supinf_2(B, C))) ) ) )  => r1_xxreal_0(k2_mesfunc5(A), k2_mesfunc5(B))) ) ) ) ) ).
fof(t39_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  => r1_xxreal_0(k6_rinfsup2(A), k5_rinfsup2(A))) ) ).
fof(t40_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (v10_mesfunc5(A) <=> k6_rinfsup2(A)=k5_rinfsup2(A)) ) ) ).
fof(t41_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (v10_mesfunc5(A) =>  (k2_mesfunc5(A)=k6_rinfsup2(A) & k2_mesfunc5(A)=k5_rinfsup2(A)) ) ) ) ).
fof(dt_k1_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  => m1_subset_1(k1_rinfsup2(A), k6_numbers)) ) ).
fof(dt_k2_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  => m1_subset_1(k2_rinfsup2(A), k6_numbers)) ) ).
fof(dt_k3_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (v1_funct_1(k3_rinfsup2(A)) &  (v1_funct_2(k3_rinfsup2(A), k4_ordinal1, k6_numbers) & m1_subset_1(k3_rinfsup2(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) ) ) ) ).
fof(dt_k4_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (v1_funct_1(k4_rinfsup2(A)) &  (v1_funct_2(k4_rinfsup2(A), k4_ordinal1, k6_numbers) & m1_subset_1(k4_rinfsup2(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) ) ) ) ).
fof(dt_k5_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  => m1_subset_1(k5_rinfsup2(A), k6_numbers)) ) ).
fof(dt_k6_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  => m1_subset_1(k6_rinfsup2(A), k6_numbers)) ) ).
fof(t5_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (v1_xboole_0(a_2_0_rinfsup2(A, B)))  & m1_subset_1(a_2_0_rinfsup2(A, B), k1_zfmisc_1(k6_numbers))) ) ) ) ) ).
fof(d6_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (B=k3_rinfsup2(A) <=>  (! [C] :  (v7_ordinal1(C) =>  (? [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k6_numbers)))  &  (D=a_2_0_rinfsup2(A, C) & k12_supinf_2(B, C)=k7_supinf_2(D)) ) ) ) ) ) ) ) ) ) ).
fof(d7_rinfsup2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k6_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  =>  (B=k4_rinfsup2(A) <=>  (! [C] :  (v7_ordinal1(C) =>  (? [D] :  ( ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k6_numbers)))  &  (D=a_2_0_rinfsup2(A, C) & k12_supinf_2(B, C)=k8_supinf_2(D)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_rinfsup2, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k6_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k6_numbers)))) )  & v7_ordinal1(C))  =>  (r2_hidden(A, a_2_0_rinfsup2(B, C)) <=>  (? [D] :  (v7_ordinal1(D) &  (A=k12_supinf_2(B, D) & r1_xxreal_0(C, D)) ) ) ) ) ) ).
fof(cc1_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_ring_1(B, A) =>  (v1_subset_1(B, u1_struct_0(A)) & v1_ring_1(B, A)) ) ) ) ) ) ).
fof(cc2_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_subset_1(B, u1_struct_0(A)) & v1_ring_1(B, A))  => v2_ring_1(B, A)) ) ) ) ) ).
fof(cc3_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v4_ring_1(B, A) =>  (v1_subset_1(B, u1_struct_0(A)) & v3_ring_1(B, A)) ) ) ) ) ) ).
fof(cc4_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_subset_1(B, u1_struct_0(A)) & v3_ring_1(B, A))  => v4_ring_1(B, A)) ) ) ) ) ).
fof(fc1_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  => v1_ideal_1(k2_struct_0(A), A)) ) ).
fof(fc2_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (v2_ideal_1(k2_struct_0(A), A) & v3_ideal_1(k2_struct_0(A), A)) ) ) ).
fof(fc3_ring_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) )  =>  ( ~ (v1_xboole_0(k1_ring_1(A, B)))  &  (v1_partfun1(k1_ring_1(A, B), u1_struct_0(A)) &  (v3_relat_2(k1_ring_1(A, B)) & v8_relat_2(k1_ring_1(A, B))) ) ) ) ) ).
fof(fc4_ring_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) )  =>  ( ~ (v2_struct_0(k2_ring_1(A, B)))  & v36_algstr_0(k2_ring_1(A, B))) ) ) ).
fof(fc5_ring_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) )  =>  (v13_algstr_0(k2_ring_1(A, B)) &  (v36_algstr_0(k2_ring_1(A, B)) &  (v4_vectsp_1(k2_ring_1(A, B)) &  (v5_vectsp_1(k2_ring_1(A, B)) &  (v2_rlvect_1(k2_ring_1(A, B)) &  (v3_rlvect_1(k2_ring_1(A, B)) &  (v4_rlvect_1(k2_ring_1(A, B)) & v3_group_1(k2_ring_1(A, B))) ) ) ) ) ) ) ) ) ).
fof(fc6_ring_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) )  =>  (v36_algstr_0(k2_ring_1(A, B)) & v5_group_1(k2_ring_1(A, B))) ) ) ).
fof(cc5_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & v4_ring_1(B, A)) ) ) )  =>  ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & v2_ring_1(B, A)) ) ) ) ) ) ) ) ) ).
fof(rc1_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & v4_ring_1(B, A)) ) ) ) ) ) ) ) ).
fof(rc2_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & v4_ring_1(B, A)) ) ) ) ) ) ) ) ).
fof(fc7_ring_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) &  (v1_ring_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) )  =>  (v36_algstr_0(k2_ring_1(A, B)) & v1_vectsp_2(k2_ring_1(A, B))) ) ) ).
fof(fc8_ring_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) &  (v3_ring_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) )  =>  (v33_algstr_0(k2_ring_1(A, B)) & v36_algstr_0(k2_ring_1(A, B))) ) ) ).
fof(t1_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_algstr_0(A, k5_algstr_0(A, B, C), C)=B) ) ) ) ) ) ).
fof(t2_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => C=k5_algstr_0(A, B, k5_algstr_0(A, B, C))) ) ) ) ) ) ).
fof(t3_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k5_algstr_0(A, k5_algstr_0(A, B, C), k5_algstr_0(A, D, C))=k5_algstr_0(A, B, D)) ) ) ) ) ) ) ) ).
fof(d1_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_ring_1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(k6_algstr_0(A, C, D), B) &  ( ~ (r2_tarski(C, B))  &  ~ (r2_tarski(D, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_ring_1(B, A) <=>  (v1_subset_1(B, u1_struct_0(A)) & v1_ring_1(B, A)) ) ) ) ) ) ).
fof(d3_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_ring_1(B, A) <=>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_ideal_1(C, A) &  (v2_ideal_1(C, A) &  (v3_ideal_1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  ~ ( (r1_tarski(B, C) &  ( ~ (C=B)  & v1_subset_1(C, u1_struct_0(A))) ) ) ) ) ) ) ) ) ) ).
fof(d4_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v4_ring_1(B, A) <=>  (v1_subset_1(B, u1_struct_0(A)) & v3_ring_1(B, A)) ) ) ) ) ) ).
fof(t4_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  => v2_ring_1(k6_domain_1(u1_struct_0(A), k4_struct_0(A)), A)) ) ).
fof(d5_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) =>  (C=k1_ring_1(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(k1_domain_1(u1_struct_0(A), u1_struct_0(A), D, E), C) <=> r2_tarski(k5_algstr_0(A, D, E), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(C, k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k1_ring_1(A, B), D)) <=> r2_tarski(k5_algstr_0(A, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t6_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k1_ring_1(A, B), C)=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k1_ring_1(A, B), D) <=> r2_tarski(k5_algstr_0(A, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t7_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k1_ring_1(A, k2_struct_0(A)), B)=u1_struct_0(A)) ) ) ) ).
fof(t8_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  => k8_eqrel_1(u1_struct_0(A), k1_ring_1(A, k2_struct_0(A)))=k1_tarski(u1_struct_0(A))) ) ).
fof(t9_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k1_ring_1(A, k6_domain_1(u1_struct_0(A), k4_struct_0(A))), B)=k6_domain_1(u1_struct_0(A), B)) ) ) ) ).
fof(t10_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  => k8_eqrel_1(u1_struct_0(A), k1_ring_1(A, k6_domain_1(u1_struct_0(A), k4_struct_0(A))))=k10_xtuple_0(k11_setwiseo(u1_struct_0(A)))) ) ).
fof(d6_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  (! [C] :  ( (v36_algstr_0(C) & l6_algstr_0(C))  =>  (C=k2_ring_1(A, B) <=>  (u1_struct_0(C)=k8_eqrel_1(u1_struct_0(A), k1_ring_1(A, B)) &  (k5_struct_0(C)=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k1_ring_1(A, B), k5_struct_0(A)) &  (k4_struct_0(C)=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k1_ring_1(A, B), k4_struct_0(A)) &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  (D=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k1_ring_1(A, B), F) &  (E=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k1_ring_1(A, B), G) & k4_binop_1(u1_struct_0(C), u1_algstr_0(C), D, E)=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k1_ring_1(A, B), k3_rlvect_1(A, F, G))) ) ) ) ) ) ) ) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  (D=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k1_ring_1(A, B), F) &  (E=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k1_ring_1(A, B), G) & k4_binop_1(u1_struct_0(C), u2_algstr_0(C), D, E)=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k1_ring_1(A, B), k6_algstr_0(A, F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_ring_1(A, B))) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & C=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k1_ring_1(A, B), D)) ) ) ) ) ) ) ) ).
fof(t12_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => m1_subset_1(k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k1_ring_1(A, B), C), u1_struct_0(k2_ring_1(A, B)))) ) ) ) ) ) ).
fof(t13_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_ring_1(A, B))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_ring_1(A, B))) =>  ( (E=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k1_ring_1(A, B), C) & F=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k1_ring_1(A, B), D))  => k1_algstr_0(k2_ring_1(A, B), E, F)=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k1_ring_1(A, B), k3_rlvect_1(A, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k2_ring_1(A, B))) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k2_ring_1(A, B))) =>  ( (E=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k1_ring_1(A, B), C) & F=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k1_ring_1(A, B), D))  => k6_algstr_0(k2_ring_1(A, B), E, F)=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k1_ring_1(A, B), k6_algstr_0(A, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  => k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k1_ring_1(A, B), k5_struct_0(A))=k5_struct_0(k2_ring_1(A, B))) ) ) ) ).
fof(t16_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  (v1_subset_1(B, u1_struct_0(A)) <=>  ~ (v6_struct_0(k2_ring_1(A, B))) ) ) ) ) ) ).
fof(t17_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  (v1_ring_1(B, A) <=> v1_vectsp_2(k2_ring_1(A, B))) ) ) ) ) ).
fof(t18_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  (v2_ring_1(B, A) <=>  ( ~ (v2_struct_0(k2_ring_1(A, B)))  &  ( ~ (v6_struct_0(k2_ring_1(A, B)))  &  (v13_algstr_0(k2_ring_1(A, B)) &  (v4_vectsp_1(k2_ring_1(A, B)) &  (v5_vectsp_1(k2_ring_1(A, B)) &  (v2_rlvect_1(k2_ring_1(A, B)) &  (v3_rlvect_1(k2_ring_1(A, B)) &  (v4_rlvect_1(k2_ring_1(A, B)) &  (v3_group_1(k2_ring_1(A, B)) &  (v5_group_1(k2_ring_1(A, B)) &  (v1_vectsp_2(k2_ring_1(A, B)) & l6_algstr_0(k2_ring_1(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  ( (v5_group_1(A) & v3_ring_1(B, A))  => v33_algstr_0(k2_ring_1(A, B))) ) ) ) ) ).
fof(t20_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  (v33_algstr_0(k2_ring_1(A, B)) => v3_ring_1(B, A)) ) ) ) ) ).
fof(t21_ring_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  (v4_ring_1(B, A) <=>  ( ~ (v2_struct_0(k2_ring_1(A, B)))  &  ( ~ (v6_struct_0(k2_ring_1(A, B)))  &  (v13_algstr_0(k2_ring_1(A, B)) &  (v33_algstr_0(k2_ring_1(A, B)) &  (v4_vectsp_1(k2_ring_1(A, B)) &  (v5_vectsp_1(k2_ring_1(A, B)) &  (v2_rlvect_1(k2_ring_1(A, B)) &  (v3_rlvect_1(k2_ring_1(A, B)) &  (v4_rlvect_1(k2_ring_1(A, B)) &  (v3_group_1(k2_ring_1(A, B)) & l6_algstr_0(k2_ring_1(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_ring_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) )  => m1_subset_1(k1_ring_1(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ).
fof(dt_k2_ring_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) )  =>  (v36_algstr_0(k2_ring_1(A, B)) & l6_algstr_0(k2_ring_1(A, B))) ) ) ).
fof(fc1_ring_2, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  &  (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) )  =>  (v1_relat_1(k7_finseq_1(B, C)) &  (v5_relat_1(k7_finseq_1(B, C), A) &  (v1_funct_1(k7_finseq_1(B, C)) & v1_finseq_1(k7_finseq_1(B, C))) ) ) ) ) ).
fof(fc2_ring_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  =>  (v1_funct_1(k2_funcop_1(k4_ordinal1, B)) &  (v1_funct_2(k2_funcop_1(k4_ordinal1, B), k4_ordinal1, A) &  (v1_ring_2(k2_funcop_1(k4_ordinal1, B), A) & v2_ring_2(k2_funcop_1(k4_ordinal1, B), A)) ) ) ) ) ).
fof(rc1_ring_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, A) &  (v1_ring_2(B, A) & v2_ring_2(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc3_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  ~ (v1_xboole_0(k2_ring_2(A))) ) ) ).
fof(fc4_ring_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ~ (v2_struct_0(B))  &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) )  =>  (v1_funct_1(k6_struct_0(A, B, k4_struct_0(B))) &  (v1_funct_2(k6_struct_0(A, B, k4_struct_0(B)), u1_struct_0(A), u1_struct_0(B)) & v13_vectsp_1(k6_struct_0(A, B, k4_struct_0(B)), A, B)) ) ) ) ).
fof(fc5_ring_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v1_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) )  =>  (v1_funct_1(k6_struct_0(A, B, k4_struct_0(B))) &  (v1_funct_2(k6_struct_0(A, B, k4_struct_0(B)), u1_struct_0(A), u1_struct_0(B)) & v1_group_6(k6_struct_0(A, B, k4_struct_0(B)), A, B)) ) ) ) ).
fof(fc6_ring_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) & l6_algstr_0(A)) )  &  ( ~ (v6_struct_0(B))  &  (v4_vectsp_1(B) & l6_algstr_0(B)) ) )  =>  (v1_funct_1(k6_struct_0(A, B, k4_struct_0(B))) &  (v1_funct_2(k6_struct_0(A, B, k4_struct_0(B)), u1_struct_0(A), u1_struct_0(B)) &  ~ (v6_group_1(k6_struct_0(A, B, k4_struct_0(B)), A, B)) ) ) ) ) ).
fof(fc7_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (v1_funct_1(k3_struct_0(A)) &  (v1_funct_2(k3_struct_0(A), u1_struct_0(A), u1_struct_0(A)) &  (v13_vectsp_1(k3_struct_0(A), A, A) &  (v6_group_1(k3_struct_0(A), A, A) & v1_group_6(k3_struct_0(A), A, A)) ) ) ) ) ) ).
fof(fc8_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (v1_funct_1(k3_struct_0(A)) &  (v1_funct_2(k3_struct_0(A), u1_struct_0(A), u1_struct_0(A)) &  (v3_mod_4(k3_struct_0(A), A, A) & v5_mod_4(k3_struct_0(A), A, A)) ) ) ) ) ).
fof(rc2_ring_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ~ (v2_struct_0(B))  &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v1_partfun1(C, u1_struct_0(A)) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v13_vectsp_1(C, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_ring_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v1_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v1_partfun1(C, u1_struct_0(A)) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v1_group_6(C, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc4_ring_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) & l6_algstr_0(A)) )  &  ( ~ (v2_struct_0(B))  &  (v4_vectsp_1(B) & l6_algstr_0(B)) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v1_partfun1(C, u1_struct_0(A)) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v6_group_1(C, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc5_ring_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v1_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v1_partfun1(C, u1_struct_0(A)) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) & v1_group_6(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc6_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (? [B] :  (l6_algstr_0(B) &  ( ~ (v2_struct_0(B))  &  (v5_algstr_0(B) &  (v6_algstr_0(B) &  (v7_algstr_0(B) &  (v12_algstr_0(B) &  (v13_algstr_0(B) &  (v14_algstr_0(B) &  (v1_vectsp_1(B) &  (v2_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v9_rlvect_1(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v1_algstr_1(B) &  (v2_algstr_1(B) &  (v3_algstr_1(B) &  (v4_algstr_1(B) & v3_ring_2(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc7_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (? [B] :  (l6_algstr_0(B) &  ( ~ (v2_struct_0(B))  &  (v5_algstr_0(B) &  (v6_algstr_0(B) &  (v7_algstr_0(B) &  (v12_algstr_0(B) &  (v13_algstr_0(B) &  (v14_algstr_0(B) &  (v1_vectsp_1(B) &  (v2_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v9_rlvect_1(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v1_algstr_1(B) &  (v2_algstr_1(B) &  (v3_algstr_1(B) &  (v4_algstr_1(B) & v3_ring_2(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc8_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (? [B] :  (l6_algstr_0(B) &  ( ~ (v2_struct_0(B))  &  (v5_algstr_0(B) &  (v6_algstr_0(B) &  (v7_algstr_0(B) &  (v12_algstr_0(B) &  (v13_algstr_0(B) &  (v14_algstr_0(B) &  (v1_vectsp_1(B) &  (v2_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v9_rlvect_1(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v1_algstr_1(B) &  (v2_algstr_1(B) &  (v3_algstr_1(B) &  (v4_algstr_1(B) & v3_ring_2(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc9_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (l6_algstr_0(B) &  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v5_algstr_0(B) &  (v6_algstr_0(B) &  (v7_algstr_0(B) &  (v12_algstr_0(B) &  (v13_algstr_0(B) &  (v14_algstr_0(B) &  (v30_algstr_0(B) &  (v31_algstr_0(B) &  (v32_algstr_0(B) &  (v33_algstr_0(B) &  (v1_vectsp_1(B) &  (v2_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v9_rlvect_1(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v1_algstr_1(B) &  (v2_algstr_1(B) &  (v3_algstr_1(B) &  (v4_algstr_1(B) &  (v1_vectsp_2(B) &  (v3_gcd_1(B) &  (v1_int_3(B) & v3_ring_2(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc10_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (l6_algstr_0(B) &  ( ~ (v2_struct_0(B))  &  (v5_algstr_0(B) &  (v6_algstr_0(B) &  (v7_algstr_0(B) &  (v12_algstr_0(B) &  (v13_algstr_0(B) &  (v14_algstr_0(B) &  (v1_vectsp_1(B) &  (v2_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v9_rlvect_1(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v1_algstr_1(B) &  (v2_algstr_1(B) &  (v3_algstr_1(B) &  (v4_algstr_1(B) & v3_ring_2(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc11_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (l6_algstr_0(B) &  ( ~ (v2_struct_0(B))  &  (v5_algstr_0(B) &  (v6_algstr_0(B) &  (v7_algstr_0(B) &  (v12_algstr_0(B) &  (v13_algstr_0(B) &  (v14_algstr_0(B) &  (v1_vectsp_1(B) &  (v2_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v9_rlvect_1(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v1_algstr_1(B) &  (v2_algstr_1(B) &  (v3_algstr_1(B) &  (v4_algstr_1(B) & v3_ring_2(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc12_ring_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v3_ring_2(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v1_partfun1(C, u1_struct_0(A)) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v6_group_1(C, A, B) & v1_group_6(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc9_ring_2, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v6_group_1(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  &  (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) &  (v6_group_1(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) ) ) )  =>  (v1_funct_1(k3_relat_1(D, E)) &  (v1_funct_2(k3_relat_1(D, E), u1_struct_0(A), u1_struct_0(C)) & v6_group_1(k3_relat_1(D, E), A, C)) ) ) ) ).
fof(cc1_ring_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v3_ring_2(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (l6_algstr_0(C) =>  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) & v3_ring_2(C, B)) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v3_ring_2(C, A) & v3_ring_2(C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc2_ring_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) =>  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v6_group_1(C, A, B) & v1_group_6(C, A, B)) ) ) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v3_mod_4(C, A, B)) ) ) ) ) ) ) ).
fof(fc10_ring_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) )  =>  (v1_funct_1(k3_ring_2(A, B)) &  (v1_funct_2(k3_ring_2(A, B), u1_struct_0(A), u1_struct_0(k2_ring_1(A, B))) &  (v13_vectsp_1(k3_ring_2(A, B), A, k2_ring_1(A, B)) &  (v6_group_1(k3_ring_2(A, B), A, k2_ring_1(A, B)) & v1_group_6(k3_ring_2(A, B), A, k2_ring_1(A, B))) ) ) ) ) ) ).
fof(fc11_ring_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) )  =>  (v1_funct_1(k3_ring_2(A, B)) &  (v1_funct_2(k3_ring_2(A, B), u1_struct_0(A), u1_struct_0(k2_ring_1(A, B))) & v5_mod_4(k3_ring_2(A, B), A, k2_ring_1(A, B))) ) ) ) ).
fof(fc12_ring_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) )  =>  (v36_algstr_0(k2_ring_1(A, B)) & v3_ring_2(k2_ring_1(A, B), A)) ) ) ).
fof(fc13_ring_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v1_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  ~ (v1_xboole_0(k8_vectsp10(A, B, C))) ) ) ).
fof(fc14_ring_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  => v1_ideal_1(k8_vectsp10(A, B, C), A)) ) ).
fof(fc15_ring_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v1_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  => v2_ideal_1(k8_vectsp10(A, B, C), A)) ) ).
fof(fc16_ring_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v5_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  => v3_ideal_1(k8_vectsp10(A, B, C), A)) ) ).
fof(fc17_ring_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) & l6_algstr_0(A)) )  &  ( ( ~ (v6_struct_0(B))  &  (v4_vectsp_1(B) & l6_algstr_0(B)) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v6_group_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  => v1_subset_1(k8_vectsp10(A, B, C), u1_struct_0(A))) ) ).
fof(fc18_ring_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v3_ring_2(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v6_group_1(C, A, B) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k4_ring_2(A, B, C)))  & v36_algstr_0(k4_ring_2(A, B, C))) ) ) ).
fof(fc19_ring_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v3_ring_2(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v6_group_1(C, A, B) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) ) )  =>  (v13_algstr_0(k4_ring_2(A, B, C)) &  (v36_algstr_0(k4_ring_2(A, B, C)) &  (v2_rlvect_1(k4_ring_2(A, B, C)) &  (v3_rlvect_1(k4_ring_2(A, B, C)) & v4_rlvect_1(k4_ring_2(A, B, C))) ) ) ) ) ) ).
fof(fc20_ring_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v3_ring_2(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v6_group_1(C, A, B) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) ) )  =>  (v36_algstr_0(k4_ring_2(A, B, C)) &  (v4_vectsp_1(k4_ring_2(A, B, C)) &  (v5_vectsp_1(k4_ring_2(A, B, C)) & v3_group_1(k4_ring_2(A, B, C))) ) ) ) ) ).
fof(fc21_ring_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v3_ring_2(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v6_group_1(C, A, B) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) ) )  =>  (v36_algstr_0(k4_ring_2(A, B, C)) & v5_group_1(k4_ring_2(A, B, C))) ) ) ).
fof(fc22_ring_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v3_ring_2(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v6_group_1(C, A, B) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) ) )  =>  (v1_funct_1(k6_ring_2(A, B, C)) &  (v1_funct_2(k6_ring_2(A, B, C), u1_struct_0(k2_ring_1(A, k8_vectsp10(A, B, C))), u1_struct_0(k5_ring_2(A, B, C))) &  (v13_vectsp_1(k6_ring_2(A, B, C), k2_ring_1(A, k8_vectsp10(A, B, C)), k5_ring_2(A, B, C)) &  (v6_group_1(k6_ring_2(A, B, C), k2_ring_1(A, k8_vectsp10(A, B, C)), k5_ring_2(A, B, C)) & v1_group_6(k6_ring_2(A, B, C), k2_ring_1(A, k8_vectsp10(A, B, C)), k5_ring_2(A, B, C))) ) ) ) ) ) ).
fof(fc23_ring_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v3_ring_2(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v6_group_1(C, A, B) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) ) )  =>  (v1_funct_1(k6_ring_2(A, B, C)) &  (v1_funct_2(k6_ring_2(A, B, C), u1_struct_0(k2_ring_1(A, k8_vectsp10(A, B, C))), u1_struct_0(k5_ring_2(A, B, C))) &  (v3_mod_4(k6_ring_2(A, B, C), k2_ring_1(A, k8_vectsp10(A, B, C)), k5_ring_2(A, B, C)) & v5_mod_4(k6_ring_2(A, B, C), k2_ring_1(A, k8_vectsp10(A, B, C)), k5_ring_2(A, B, C))) ) ) ) ) ).
fof(fc24_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (v7_struct_0(k2_ring_1(A, k2_struct_0(A))) & v36_algstr_0(k2_ring_1(A, k2_struct_0(A)))) ) ) ).
fof(rc13_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_vectsp_1(A) & l4_algstr_0(A)) )  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) & v1_gcd_1(B, A)) ) ) ) ).
fof(rc14_ring_2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (v2_algstr_0(B, A) &  (v3_algstr_0(B, A) &  (v4_algstr_0(B, A) &  (v10_algstr_0(B, A) &  ~ (v1_gcd_1(B, A)) ) ) ) ) ) ) ) ) ).
fof(fc25_ring_2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) )  =>  ~ (v1_gcd_1(k4_struct_0(A), A)) ) ) ).
fof(fc26_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_vectsp_1(A) & l4_algstr_0(A)) )  => v1_gcd_1(k5_struct_0(A), A)) ) ).
fof(cc3_ring_2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v1_gcd_1(B, A) =>  ( ~ (v9_struct_0(B, A))  & v1_gcd_1(B, A)) ) ) ) ) ) ).
fof(cc4_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (v9_struct_0(B, A))  =>  ( ~ (v9_struct_0(B, A))  & v1_gcd_1(B, A)) ) ) ) ) ) ).
fof(fc27_ring_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_gcd_1(B, A) & m1_subset_1(B, u1_struct_0(A)))  &  (v1_gcd_1(C, A) & m1_subset_1(C, u1_struct_0(A))) ) )  => v1_gcd_1(k6_algstr_0(A, B, C), A)) ) ).
fof(rc15_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_vectsp_1(A) & l6_algstr_0(A)) )  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  ~ (v4_ring_2(B, A)) ) ) ) ) ).
fof(rc16_ring_2, axiom,  (? [A] :  (m1_subset_1(A, u1_struct_0(k1_int_3)) &  (v2_algstr_0(A, k1_int_3) &  (v3_algstr_0(A, k1_int_3) &  (v4_algstr_0(A, k1_int_3) &  (v9_algstr_0(A, k1_int_3) &  (v10_algstr_0(A, k1_int_3) &  (v11_algstr_0(A, k1_int_3) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v1_rat_1(A) & v4_ring_2(A, k1_int_3)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc5_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_vectsp_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v4_ring_2(B, A) =>  ( ~ (v9_struct_0(B, A))  &  ~ (v1_gcd_1(B, A)) ) ) ) ) ) ) ).
fof(cc6_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_vectsp_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v5_ring_2(B, A) =>  ( ~ (v9_struct_0(B, A))  &  ~ (v1_gcd_1(B, A)) ) ) ) ) ) ) ).
fof(cc7_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v4_ring_2(B, A) => v5_ring_2(B, A)) ) ) ) ) ).
fof(cc8_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ~ (v5_ring_2(B, A)) ) ) ) ) ).
fof(fc28_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  => v1_xboole_0(k7_ring_2(A))) ) ).
fof(cc9_ring_2, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & v5_group_1(A)) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & v8_ideal_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc17_ring_2, axiom,  (? [A] :  (l6_algstr_0(A) &  ( ~ (v2_struct_0(A))  & v8_ideal_1(A)) ) ) ).
fof(cc10_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v8_ideal_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v5_ring_2(B, A) => v4_ring_2(B, A)) ) ) ) ) ).
fof(cc11_ring_2, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & v1_int_3(A)) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & v8_ideal_1(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc12_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v8_ideal_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_ring_2(A)))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_ring_2(A)) & v1_ring_2(B, k2_ring_2(A))) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_ring_2(A)) & v2_ring_2(B, k2_ring_2(A))) ) ) ) ) ) ) ).
fof(cc13_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_vectsp_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v7_ring_2(B, A) => v6_ring_2(B, A)) ) ) ) ) ).
fof(cc14_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v6_ring_2(B, A) =>  ( ~ (v9_struct_0(B, A))  &  ~ (v1_gcd_1(B, A)) ) ) ) ) ) ) ).
fof(cc15_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_vectsp_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v5_ring_2(B, A) => v6_ring_2(B, A)) ) ) ) ) ).
fof(cc16_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v8_ideal_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v6_ring_2(B, A) => v7_ring_2(B, A)) ) ) ) ) ).
fof(rc18_ring_2, axiom,  (? [A] :  (l6_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v5_algstr_0(A) &  (v6_algstr_0(A) &  (v7_algstr_0(A) &  (v12_algstr_0(A) &  (v13_algstr_0(A) &  (v14_algstr_0(A) &  (v1_vectsp_1(A) &  (v2_vectsp_1(A) &  (v3_vectsp_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v6_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v9_rlvect_1(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v1_algstr_1(A) &  (v2_algstr_1(A) &  (v3_algstr_1(A) &  (v4_algstr_1(A) & v8_ring_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc17_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v8_ring_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ( ~ (v9_struct_0(B, A))  &  ~ (v1_gcd_1(B, A)) )  => v6_ring_2(B, A)) ) ) ) ) ).
fof(cc18_ring_2, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v8_ideal_1(A) & v1_vectsp_2(A)) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & v8_ring_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc29_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k13_polynom3(A)))  &  (v36_algstr_0(k13_polynom3(A)) & v1_int_3(k13_polynom3(A))) ) ) ) ).
fof(t1_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  ( (? [C] :  (v7_ordinal1(C) &  (r2_tarski(C, k4_finseq_1(B)) & k1_funct_1(B, C)=k4_struct_0(A)) ) )  => k3_group_4(A, B)=k4_struct_0(A)) ) ) ) ) ).
fof(t2_ring_2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (k3_group_4(A, B)=k4_struct_0(A) <=>  (? [C] :  (v7_ordinal1(C) &  (r2_tarski(C, k4_finseq_1(B)) & k1_funct_1(B, C)=k4_struct_0(A)) ) ) ) ) ) ) ) ).
fof(d1_ring_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  =>  (v1_ring_2(B, A) <=>  (! [C] :  (v7_ordinal1(C) => r1_tarski(k8_nat_1(A, B, C), k8_nat_1(A, B, k1_nat_1(C, 1)))) ) ) ) ) ) ) ).
fof(d2_ring_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  =>  (v2_ring_2(B, A) <=>  (? [C] :  (v7_ordinal1(C) &  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(C, D) => k8_nat_1(A, B, D)=k8_nat_1(A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(t3_ring_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) &  (v1_ring_2(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (r1_xxreal_0(C, D) => r1_tarski(k8_nat_1(A, B, C), k8_nat_1(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t4_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) => r1_tarski(k7_ideal_1(A, k6_domain_1(u1_struct_0(A), C)), B)) ) ) ) ) ) ) ).
fof(d4_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (v3_ring_2(B, A) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  & v1_ringcat1(C, A, B)) ) ) ) ) ) ) ).
fof(t6_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v1_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  => k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k4_struct_0(A))=k4_struct_0(B)) ) ) ) ) ) ).
fof(t7_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v1_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k4_algstr_0(A, D))=k4_algstr_0(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D))) ) ) ) ) ) ) ) ).
fof(t8_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v1_vectsp_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l6_algstr_0(B)) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k5_algstr_0(A, D, E))=k5_algstr_0(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D), k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, E))) ) ) ) ) ) ) ) ) ) ).
fof(t9_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_vectsp_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v1_vectsp_1(B) &  (v3_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_vectsp_2(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) )  =>  (k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k5_struct_0(A))=k4_struct_0(B) | k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k5_struct_0(A))=k5_struct_0(B)) ) ) ) ) ) ) ).
fof(t10_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k5_struct_0(A))=k4_struct_0(B) <=> r2_funct_2(u1_struct_0(A), u1_struct_0(B), C, k6_struct_0(A, B, k4_struct_0(B)))) ) ) ) ) ) ) ).
fof(t11_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k5_struct_0(A))=k5_struct_0(B) <=> v3_mod_4(C, A, B)) ) ) ) ) ) ) ).
fof(d5_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(k2_ring_1(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k2_ring_1(A, B)))))) )  =>  (C=k3_ring_2(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(k2_ring_1(A, B)), C, D)=k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k1_ring_1(A, B), D)) ) ) ) ) ) ) ) ) ).
fof(t12_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v3_ring_2(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v6_group_1(C, A, B) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (v3_mod_4(C, A, B) <=> k8_vectsp10(A, B, C)=k6_domain_1(u1_struct_0(A), k4_struct_0(A))) ) ) ) ) ) ) ).
fof(t13_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  => k8_vectsp10(A, k2_ring_1(A, B), k3_ring_2(A, B))=B) ) ) ) ).
fof(t14_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  <=>  (? [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v3_ring_2(C, A) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  &  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(C)) &  (v13_vectsp_1(D, A, C) &  (v6_group_1(D, A, C) &  (v1_group_6(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(C))))) ) ) ) )  & k8_vectsp10(A, C, D)=B) ) ) ) ) ) ) ) ) ).
fof(d6_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v3_ring_2(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v6_group_1(C, A, B) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (! [D] :  ( (v36_algstr_0(D) & l6_algstr_0(D))  =>  (D=k4_ring_2(A, B, C) <=>  (u1_struct_0(D)=k2_relset_1(u1_struct_0(B), C) &  (u1_algstr_0(D)=k1_realset1(u1_algstr_0(B), k2_relset_1(u1_struct_0(B), C)) &  (u2_algstr_0(D)=k1_realset1(u2_algstr_0(B), k2_relset_1(u1_struct_0(B), C)) &  (u3_struct_0(D)=k5_struct_0(B) & u2_struct_0(D)=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v3_ring_2(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v6_group_1(C, A, B) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k2_ring_1(A, k8_vectsp10(A, B, C))), u1_struct_0(k5_ring_2(A, B, C))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_ring_1(A, k8_vectsp10(A, B, C))), u1_struct_0(k5_ring_2(A, B, C)))))) )  =>  (D=k6_ring_2(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k1_funct_1(D, k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), k1_ring_1(A, k8_vectsp10(A, B, C)), E))=k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v3_ring_2(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v6_group_1(C, A, B) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  => r2_quofield(k2_ring_1(A, k8_vectsp10(A, B, C)), k5_ring_2(A, B, C))) ) ) ) ) ) ).
fof(t16_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v3_ring_2(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v6_group_1(C, A, B) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (v2_funct_2(C, u1_struct_0(B)) => r2_quofield(k2_ring_1(A, k8_vectsp10(A, B, C)), B)) ) ) ) ) ) ) ).
fof(t17_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  => r2_quofield(k2_ring_1(A, k6_domain_1(u1_struct_0(A), k4_struct_0(A))), A)) ) ).
fof(t18_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_gcd_1(A, B, C) <=> r2_tarski(C, k7_ideal_1(A, k6_domain_1(u1_struct_0(A), B)))) ) ) ) ) ) ) ).
fof(t19_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_gcd_1(A, B, C) <=> r1_tarski(k7_ideal_1(A, k6_domain_1(u1_struct_0(A), C)), k7_ideal_1(A, k6_domain_1(u1_struct_0(A), B)))) ) ) ) ) ) ) ).
fof(t20_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (v1_gcd_1(B, A) & m1_subset_1(B, u1_struct_0(A)))  <=> k7_ideal_1(A, k6_domain_1(u1_struct_0(A), B))=k2_struct_0(A)) ) ) ) ) ).
fof(t21_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r4_gcd_1(A, B, C) <=> k7_ideal_1(A, k6_domain_1(u1_struct_0(A), B))=k7_ideal_1(A, k6_domain_1(u1_struct_0(A), C))) ) ) ) ) ) ) ).
fof(d8_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_vectsp_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v4_ring_2(B, A) <=>  ( ~ (B=k4_struct_0(A))  &  ( ~ ( (v1_gcd_1(B, A) & m1_subset_1(B, u1_struct_0(A))) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_gcd_1(A, B, k6_algstr_0(A, C, D)) &  ( ~ (r2_gcd_1(A, B, C))  &  ~ (r2_gcd_1(A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_vectsp_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v5_ring_2(B, A) <=>  ( ~ (B=k4_struct_0(A))  &  ( ~ ( (v1_gcd_1(B, A) & m1_subset_1(B, u1_struct_0(A))) )  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r2_gcd_1(A, C, B) &  ( ~ ( (v1_gcd_1(C, A) & m1_subset_1(C, u1_struct_0(A))) )  &  ~ (r3_gcd_1(A, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v9_struct_0(B, A))  & m1_subset_1(B, u1_struct_0(A)))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r4_gcd_1(A, k8_group_1(A, D, C), k8_group_1(A, B, E)) & r4_gcd_1(A, D, B))  => r4_gcd_1(A, C, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v5_ring_2(B, A) & r4_gcd_1(A, C, B))  => v5_ring_2(C, A)) ) ) ) ) ) ) ).
fof(t24_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v9_struct_0(B, A))  & m1_subset_1(B, u1_struct_0(A)))  =>  (v4_ring_2(B, A) <=> v2_ring_1(k7_ideal_1(A, k6_domain_1(u1_struct_0(A), B)), A)) ) ) ) ) ).
fof(t25_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v9_struct_0(B, A))  & m1_subset_1(B, u1_struct_0(A)))  =>  (v4_ring_1(k7_ideal_1(A, k6_domain_1(u1_struct_0(A), B)), A) => v5_ring_2(B, A)) ) ) ) ) ).
fof(t26_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v8_ideal_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v9_struct_0(B, A))  & m1_subset_1(B, u1_struct_0(A)))  =>  (v4_ring_1(k7_ideal_1(A, k6_domain_1(u1_struct_0(A), B)), A) <=> v5_ring_2(B, A)) ) ) ) ) ).
fof(d11_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_vectsp_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m2_finseq_1(C, u1_struct_0(A)))  =>  (r1_ring_2(A, B, C) <=>  (B=k3_group_4(A, C) &  (! [D] :  (m2_subset_1(D, k4_ordinal1, k4_finseq_1(C)) => v5_ring_2(k1_ring_2(u1_struct_0(A), C, D), A)) ) ) ) ) ) ) ) ) ) ).
fof(d12_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_vectsp_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v6_ring_2(B, A) <=>  (? [C] :  ( ( ~ (v1_xboole_0(C))  & m2_finseq_1(C, u1_struct_0(A)))  & r1_ring_2(A, B, C)) ) ) ) ) ) ) ).
fof(d13_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_vectsp_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v6_ring_2(B, A) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m2_finseq_1(C, u1_struct_0(A)))  =>  (m1_ring_2(C, A, B) <=> r1_ring_2(A, B, C)) ) ) ) ) ) ) ) ).
fof(d14_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_vectsp_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v7_ring_2(B, A) <=>  (v6_ring_2(B, A) &  (! [C] :  (m1_ring_2(C, A, B) =>  (! [D] :  (m1_ring_2(D, A, B) =>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_finseq_1(C), k4_finseq_1(D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(C), k4_finseq_1(D))))) )  &  (v3_funct_2(E, k4_finseq_1(C), k4_finseq_1(D)) &  (! [F] :  (m2_subset_1(F, k4_ordinal1, k4_finseq_1(C)) => r3_gcd_1(A, k1_ring_2(u1_struct_0(A), D, k3_funct_2(k4_finseq_1(C), k4_finseq_1(D), E, F)), k1_ring_2(u1_struct_0(A), C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_vectsp_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v5_ring_2(B, A) <=> r1_ring_2(A, B, k12_finseq_1(u1_struct_0(A), B))) ) ) ) ) ).
fof(t28_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m2_finseq_1(D, u1_struct_0(A)))  =>  (! [E] :  ( ( ~ (v1_xboole_0(E))  & m2_finseq_1(E, u1_struct_0(A)))  =>  ( (r1_ring_2(A, B, D) & r1_ring_2(A, C, E))  => r1_ring_2(A, k6_algstr_0(A, B, C), k8_finseq_1(u1_struct_0(A), D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (v8_ring_2(A) <=>  (! [B] :  ( ( ~ (v9_struct_0(B, A))  & m1_subset_1(B, u1_struct_0(A)))  =>  ( ( ~ (v1_gcd_1(B, A))  & m1_subset_1(B, u1_struct_0(A)))  => v7_ring_2(B, A)) ) ) ) ) ) ).
fof(d16_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ( ( ~ (B=k9_polynom3(A))  => k8_ring_2(A, B)=k2_hurwitz(A, B))  &  (B=k9_polynom3(A) => k8_ring_2(A, B)=k5_numbers) ) ) ) ) ) ).
fof(d17_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k13_polynom3(A)), k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k13_polynom3(A)), k4_ordinal1)))) )  =>  (B=k9_ring_2(A) <=>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => k1_funct_1(B, C)=k8_ring_2(A, C)) ) ) ) ) ) ) ).
fof(t29_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) &  (v1_uproots(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  ~ (r1_xxreal_0(k2_hurwitz(A, C), k2_hurwitz(A, k6_hurwitz(A, B, C)))) ) ) ) ) ) ) ).
fof(t30_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) =>  (! [C] :  ( ( ~ (v9_struct_0(C, k13_polynom3(A)))  & m1_subset_1(C, u1_struct_0(k13_polynom3(A))))  =>  (? [D] :  (m1_subset_1(D, u1_struct_0(k13_polynom3(A))) &  (? [E] :  (m1_subset_1(E, u1_struct_0(k13_polynom3(A))) &  (B=k1_algstr_0(k13_polynom3(A), k6_algstr_0(k13_polynom3(A), D, C), E) &  ~ ( ( ~ (E=k4_struct_0(k13_polynom3(A)))  & r1_xxreal_0(k3_funct_2(u1_struct_0(k13_polynom3(A)), k4_ordinal1, k9_ring_2(A), C), k3_funct_2(u1_struct_0(k13_polynom3(A)), k4_ordinal1, k9_ring_2(A), E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_ring_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  & m1_finseq_1(B, A))  & m1_subset_1(C, k4_finseq_1(B))) )  => m1_subset_1(k1_ring_2(A, B, C), A)) ) ).
fof(redefinition_k1_ring_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  & m1_finseq_1(B, A))  & m1_subset_1(C, k4_finseq_1(B))) )  => k1_ring_2(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k2_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  => m1_subset_1(k2_ring_2(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k3_ring_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) &  (v2_ideal_1(B, A) &  (v3_ideal_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) )  =>  (v1_funct_1(k3_ring_2(A, B)) &  (v1_funct_2(k3_ring_2(A, B), u1_struct_0(A), u1_struct_0(k2_ring_1(A, B))) & m1_subset_1(k3_ring_2(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k2_ring_1(A, B)))))) ) ) ) ).
fof(dt_k4_ring_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v3_ring_2(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v6_group_1(C, A, B) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) ) )  =>  (v36_algstr_0(k4_ring_2(A, B, C)) & l6_algstr_0(k4_ring_2(A, B, C))) ) ) ).
fof(dt_k5_ring_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v3_ring_2(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v6_group_1(C, A, B) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) ) )  =>  (v36_algstr_0(k5_ring_2(A, B, C)) & m1_c0sp1(k5_ring_2(A, B, C), B)) ) ) ).
fof(redefinition_k5_ring_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v3_ring_2(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v6_group_1(C, A, B) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) ) )  => k5_ring_2(A, B, C)=k4_ring_2(A, B, C)) ) ).
fof(dt_k6_ring_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v3_ring_2(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v13_vectsp_1(C, A, B) &  (v6_group_1(C, A, B) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) ) )  =>  (v1_funct_1(k6_ring_2(A, B, C)) &  (v1_funct_2(k6_ring_2(A, B, C), u1_struct_0(k2_ring_1(A, k8_vectsp10(A, B, C))), u1_struct_0(k5_ring_2(A, B, C))) & m1_subset_1(k6_ring_2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_ring_1(A, k8_vectsp10(A, B, C))), u1_struct_0(k5_ring_2(A, B, C)))))) ) ) ) ).
fof(dt_k7_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_vectsp_1(A) & l6_algstr_0(A)) )  => m1_subset_1(k7_ring_2(A), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_m1_ring_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_vectsp_1(A) & l6_algstr_0(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (! [C] :  (m1_ring_2(C, A, B) =>  ( ~ (v1_xboole_0(C))  & m2_finseq_1(C, u1_struct_0(A))) ) ) ) ) ).
fof(existence_m1_ring_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_vectsp_1(A) & l6_algstr_0(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (? [C] : m1_ring_2(C, A, B)) ) ) ).
fof(dt_k8_ring_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  => v7_ordinal1(k8_ring_2(A, B))) ) ).
fof(dt_k9_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k9_ring_2(A)) &  (v1_funct_2(k9_ring_2(A), u1_struct_0(k13_polynom3(A)), k4_ordinal1) & m1_subset_1(k9_ring_2(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k13_polynom3(A)), k4_ordinal1)))) ) ) ) ).
fof(dt_k10_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  => m1_int_3(k10_ring_2(A), k13_polynom3(A))) ) ).
fof(redefinition_k10_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  => k10_ring_2(A)=k9_ring_2(A)) ) ).
fof(d3_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  => k2_ring_2(A)=a_1_0_ring_2(A)) ) ).
fof(t5_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k2_ring_2(A)) &  (v1_ring_2(B, k2_ring_2(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_ring_2(A))))) ) )  =>  ( ~ (v1_xboole_0(k3_tarski(a_2_0_ring_2(A, B))))  &  (v1_ideal_1(k3_tarski(a_2_0_ring_2(A, B)), A) &  (v2_ideal_1(k3_tarski(a_2_0_ring_2(A, B)), A) &  (v3_ideal_1(k3_tarski(a_2_0_ring_2(A, B)), A) & m1_subset_1(k3_tarski(a_2_0_ring_2(A, B)), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ) ) ).
fof(d10_ring_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_vectsp_1(A) & l6_algstr_0(A)) )  => k7_ring_2(A)=a_1_1_ring_2(A)) ) ).
fof(fraenkel_a_1_0_ring_2, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (r2_hidden(A, a_1_0_ring_2(B)) <=>  (? [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_ideal_1(C, B) &  (v2_ideal_1(C, B) &  (v3_ideal_1(C, B) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B)))) ) ) )  & A=C) ) ) ) ) ).
fof(fraenkel_a_2_0_ring_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k2_ring_2(B)) &  (v1_ring_2(C, k2_ring_2(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_ring_2(B))))) ) ) )  =>  (r2_hidden(A, a_2_0_ring_2(B, C)) <=>  (? [D] :  (v7_ordinal1(D) & A=k8_nat_1(k2_ring_2(B), C, D)) ) ) ) ) ).
fof(fraenkel_a_1_1_ring_2, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v3_vectsp_1(B) & l6_algstr_0(B)) )  =>  (r2_hidden(A, a_1_1_ring_2(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(B)) &  (A=C & v5_ring_2(C, B)) ) ) ) ) ) ).
fof(rc1_ring_3, axiom,  (? [A] :  (m1_subset_1(A, u1_struct_0(k1_int_3)) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_algstr_0(A, k1_int_3) &  (v3_algstr_0(A, k1_int_3) &  (v4_algstr_0(A, k1_int_3) &  (v9_algstr_0(A, k1_int_3) &  (v10_algstr_0(A, k1_int_3) &  (v11_algstr_0(A, k1_int_3) &  (v1_xxreal_0(A) &  (v2_xxreal_0(A) &  (v1_xcmplx_0(A) &  (v1_rat_1(A) &  (v1_gaussint(A) & v2_gaussint(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_ring_3, axiom,  (? [A] :  (m1_subset_1(A, u1_struct_0(k1_int_3)) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_algstr_0(A, k1_int_3) &  (v3_algstr_0(A, k1_int_3) &  (v4_algstr_0(A, k1_int_3) &  (v9_algstr_0(A, k1_int_3) &  (v10_algstr_0(A, k1_int_3) &  (v11_algstr_0(A, k1_int_3) &  (v1_xxreal_0(A) &  (v3_xxreal_0(A) &  (v1_xcmplx_0(A) &  (v1_rat_1(A) &  (v1_gaussint(A) & v2_gaussint(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(ie1_ring_3, axiom,  (! [A, B] :  ( ( ( ~ (v9_struct_0(A, k11_gaussint))  & m1_subset_1(A, u1_struct_0(k11_gaussint)))  & v1_rat_1(B))  =>  (A=B => k9_algstr_0(k11_gaussint, A)=k5_xcmplx_0(B)) ) ) ).
fof(ie2_ring_3, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, u1_struct_0(k11_gaussint)) &  ( ( ~ (v9_struct_0(B, k11_gaussint))  & m1_subset_1(B, u1_struct_0(k11_gaussint)))  &  (v1_rat_1(C) & v1_rat_1(D)) ) )  =>  ( (A=C & B=D)  => k20_quofield(k11_gaussint, A, B)=k7_xcmplx_0(C, D)) ) ) ).
fof(rd1_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  => k9_algstr_0(A, k5_struct_0(A))=k5_struct_0(A)) ) ).
fof(rc3_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (l6_algstr_0(B) &  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v5_algstr_0(B) &  (v6_algstr_0(B) &  (v7_algstr_0(B) &  (v12_algstr_0(B) &  (v13_algstr_0(B) &  (v14_algstr_0(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v9_rlvect_1(B) &  (v1_vectsp_1(B) &  (v2_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) &  (v1_vectsp_2(B) &  (v1_algstr_1(B) &  (v2_algstr_1(B) &  (v3_algstr_1(B) &  (v4_algstr_1(B) & v3_ring_2(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc4_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (l6_algstr_0(B) &  ( ~ (v2_struct_0(B))  &  (v5_algstr_0(B) &  (v6_algstr_0(B) &  (v7_algstr_0(B) &  (v12_algstr_0(B) &  (v13_algstr_0(B) &  (v14_algstr_0(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v9_rlvect_1(B) &  (v1_vectsp_1(B) &  (v2_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) &  (v1_algstr_1(B) &  (v2_algstr_1(B) &  (v3_algstr_1(B) &  (v4_algstr_1(B) & v3_ring_2(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc5_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (l6_algstr_0(B) &  ( ~ (v2_struct_0(B))  &  (v5_algstr_0(B) &  (v6_algstr_0(B) &  (v7_algstr_0(B) &  (v12_algstr_0(B) &  (v13_algstr_0(B) &  (v14_algstr_0(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v9_rlvect_1(B) &  (v1_vectsp_1(B) &  (v2_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) &  (v1_algstr_1(B) &  (v2_algstr_1(B) &  (v3_algstr_1(B) &  (v4_algstr_1(B) & v3_ring_2(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc6_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (l6_algstr_0(B) &  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v5_algstr_0(B) &  (v6_algstr_0(B) &  (v7_algstr_0(B) &  (v12_algstr_0(B) &  (v13_algstr_0(B) &  (v14_algstr_0(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v9_rlvect_1(B) &  (v1_vectsp_1(B) &  (v2_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) &  (v1_vectsp_2(B) &  (v1_algstr_1(B) &  (v2_algstr_1(B) &  (v3_algstr_1(B) &  (v4_algstr_1(B) & v3_ring_2(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc1_ring_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_ring_2(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v6_group_1(C, A, B) &  (v13_vectsp_1(C, A, B) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) ) )  =>  (v33_algstr_0(k4_ring_2(A, B, C)) & v36_algstr_0(k4_ring_2(A, B, C))) ) ) ).
fof(fc2_ring_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v1_vectsp_2(B) &  (v3_ring_2(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v6_group_1(C, A, B) &  (v13_vectsp_1(C, A, B) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) ) )  =>  ( ~ (v6_struct_0(k4_ring_2(A, B, C)))  & v36_algstr_0(k4_ring_2(A, B, C))) ) ) ).
fof(fc3_ring_3, axiom,  (! [A] :  (v7_ordinal1(A) => v8_struct_0(k9_int_3(A))) ) ).
fof(fc4_ring_3, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  ~ (v6_struct_0(k9_int_3(A))) ) ) ).
fof(fc5_ring_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v2_xxreal_0(A))  =>  (v13_algstr_0(k9_int_3(A)) &  (v2_rlvect_1(k9_int_3(A)) &  (v3_rlvect_1(k9_int_3(A)) & v4_rlvect_1(k9_int_3(A))) ) ) ) ) ).
fof(fc6_ring_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v2_xxreal_0(A))  =>  (v3_group_1(k9_int_3(A)) &  (v5_group_1(k9_int_3(A)) &  (v4_vectsp_1(k9_int_3(A)) & v5_vectsp_1(k9_int_3(A))) ) ) ) ) ).
fof(fc7_ring_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  => v33_algstr_0(k9_int_3(A))) ) ).
fof(rc7_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (? [B] :  (l6_algstr_0(B) &  ( ~ (v2_struct_0(B))  &  (v5_algstr_0(B) &  (v6_algstr_0(B) &  (v7_algstr_0(B) &  (v12_algstr_0(B) &  (v13_algstr_0(B) &  (v14_algstr_0(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v9_rlvect_1(B) &  (v1_vectsp_1(B) &  (v2_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) &  (v1_algstr_1(B) &  (v2_algstr_1(B) &  (v3_algstr_1(B) &  (v4_algstr_1(B) & v1_ring_3(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc8_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (? [B] :  (l6_algstr_0(B) &  ( ~ (v2_struct_0(B))  &  (v5_algstr_0(B) &  (v6_algstr_0(B) &  (v7_algstr_0(B) &  (v12_algstr_0(B) &  (v13_algstr_0(B) &  (v14_algstr_0(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v9_rlvect_1(B) &  (v1_vectsp_1(B) &  (v2_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) &  (v1_algstr_1(B) &  (v2_algstr_1(B) &  (v3_algstr_1(B) &  (v4_algstr_1(B) & v1_ring_3(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc9_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (? [B] :  (l6_algstr_0(B) &  ( ~ (v2_struct_0(B))  &  (v5_algstr_0(B) &  (v6_algstr_0(B) &  (v7_algstr_0(B) &  (v12_algstr_0(B) &  (v13_algstr_0(B) &  (v14_algstr_0(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v9_rlvect_1(B) &  (v1_vectsp_1(B) &  (v2_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) &  (v1_algstr_1(B) &  (v2_algstr_1(B) &  (v3_algstr_1(B) &  (v4_algstr_1(B) & v1_ring_3(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc10_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (l6_algstr_0(B) &  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v5_algstr_0(B) &  (v6_algstr_0(B) &  (v7_algstr_0(B) &  (v12_algstr_0(B) &  (v13_algstr_0(B) &  (v14_algstr_0(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v9_rlvect_1(B) &  (v1_vectsp_1(B) &  (v2_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) &  (v1_vectsp_2(B) &  (v1_algstr_1(B) &  (v2_algstr_1(B) &  (v3_algstr_1(B) &  (v4_algstr_1(B) & v1_ring_3(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc11_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (l6_algstr_0(B) &  ( ~ (v2_struct_0(B))  &  (v5_algstr_0(B) &  (v6_algstr_0(B) &  (v7_algstr_0(B) &  (v12_algstr_0(B) &  (v13_algstr_0(B) &  (v14_algstr_0(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v9_rlvect_1(B) &  (v1_vectsp_1(B) &  (v2_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) &  (v1_algstr_1(B) &  (v2_algstr_1(B) &  (v3_algstr_1(B) &  (v4_algstr_1(B) & v1_ring_3(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc12_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (l6_algstr_0(B) &  ( ~ (v2_struct_0(B))  &  (v5_algstr_0(B) &  (v6_algstr_0(B) &  (v7_algstr_0(B) &  (v12_algstr_0(B) &  (v13_algstr_0(B) &  (v14_algstr_0(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v9_rlvect_1(B) &  (v1_vectsp_1(B) &  (v2_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) &  (v1_algstr_1(B) &  (v2_algstr_1(B) &  (v3_algstr_1(B) &  (v4_algstr_1(B) & v1_ring_3(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc13_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (l6_algstr_0(B) &  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v5_algstr_0(B) &  (v6_algstr_0(B) &  (v7_algstr_0(B) &  (v12_algstr_0(B) &  (v13_algstr_0(B) &  (v14_algstr_0(B) &  (v33_algstr_0(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v9_rlvect_1(B) &  (v1_vectsp_1(B) &  (v2_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) &  (v1_vectsp_2(B) &  (v3_gcd_1(B) &  (v1_algstr_1(B) &  (v2_algstr_1(B) &  (v3_algstr_1(B) &  (v4_algstr_1(B) &  (v8_ideal_1(B) &  (v1_int_3(B) &  (v8_ring_2(B) & v1_ring_3(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc14_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (l6_algstr_0(B) &  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v5_algstr_0(B) &  (v6_algstr_0(B) &  (v7_algstr_0(B) &  (v12_algstr_0(B) &  (v13_algstr_0(B) &  (v14_algstr_0(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v9_rlvect_1(B) &  (v1_vectsp_1(B) &  (v2_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) &  (v1_vectsp_2(B) &  (v1_algstr_1(B) &  (v2_algstr_1(B) &  (v3_algstr_1(B) &  (v4_algstr_1(B) & v1_ring_3(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc15_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (l6_algstr_0(B) &  ( ~ (v2_struct_0(B))  &  (v5_algstr_0(B) &  (v6_algstr_0(B) &  (v7_algstr_0(B) &  (v12_algstr_0(B) &  (v13_algstr_0(B) &  (v14_algstr_0(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v9_rlvect_1(B) &  (v1_vectsp_1(B) &  (v2_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) &  (v1_algstr_1(B) &  (v2_algstr_1(B) &  (v3_algstr_1(B) &  (v4_algstr_1(B) & v1_ring_3(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc16_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (l6_algstr_0(B) &  ( ~ (v2_struct_0(B))  &  (v5_algstr_0(B) &  (v6_algstr_0(B) &  (v7_algstr_0(B) &  (v12_algstr_0(B) &  (v13_algstr_0(B) &  (v14_algstr_0(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v9_rlvect_1(B) &  (v1_vectsp_1(B) &  (v2_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) &  (v1_algstr_1(B) &  (v2_algstr_1(B) &  (v3_algstr_1(B) &  (v4_algstr_1(B) & v1_ring_3(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc17_ring_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v1_ring_3(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v1_partfun1(C, u1_struct_0(A)) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v6_group_1(C, A, B) &  (v13_vectsp_1(C, A, B) &  (v3_mod_4(C, A, B) & v1_group_6(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_ring_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v1_ring_3(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (l6_algstr_0(C) =>  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_group_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) & v1_ring_3(C, B)) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_group_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v1_ring_3(C, A) & v1_ring_3(C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc2_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (l6_algstr_0(B) =>  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & v1_ring_3(B, A)) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_ring_2(B, A) & v1_ring_3(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rd2_ring_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v1_ring_3(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v6_group_1(C, A, B) &  (v13_vectsp_1(C, A, B) &  (v3_mod_4(C, A, B) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) ) ) )  => k2_funct_1(k2_funct_1(C))=C) ) ).
fof(rc18_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (? [B] :  (l6_algstr_0(B) &  ( ~ (v2_struct_0(B))  &  (v5_algstr_0(B) &  (v6_algstr_0(B) &  (v7_algstr_0(B) &  (v12_algstr_0(B) &  (v13_algstr_0(B) &  (v14_algstr_0(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v9_rlvect_1(B) &  (v1_vectsp_1(B) &  (v2_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) &  (v1_algstr_1(B) &  (v2_algstr_1(B) &  (v3_algstr_1(B) &  (v4_algstr_1(B) & v2_ring_3(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc19_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (? [B] :  (l6_algstr_0(B) &  ( ~ (v2_struct_0(B))  &  (v5_algstr_0(B) &  (v6_algstr_0(B) &  (v7_algstr_0(B) &  (v12_algstr_0(B) &  (v13_algstr_0(B) &  (v14_algstr_0(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v9_rlvect_1(B) &  (v1_vectsp_1(B) &  (v2_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) &  (v1_algstr_1(B) &  (v2_algstr_1(B) &  (v3_algstr_1(B) &  (v4_algstr_1(B) & v2_ring_3(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc20_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (? [B] :  (l6_algstr_0(B) &  ( ~ (v2_struct_0(B))  &  (v5_algstr_0(B) &  (v6_algstr_0(B) &  (v7_algstr_0(B) &  (v12_algstr_0(B) &  (v13_algstr_0(B) &  (v14_algstr_0(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v9_rlvect_1(B) &  (v1_vectsp_1(B) &  (v2_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) &  (v1_algstr_1(B) &  (v2_algstr_1(B) &  (v3_algstr_1(B) &  (v4_algstr_1(B) & v2_ring_3(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc21_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (l6_algstr_0(B) &  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v5_algstr_0(B) &  (v6_algstr_0(B) &  (v7_algstr_0(B) &  (v12_algstr_0(B) &  (v13_algstr_0(B) &  (v14_algstr_0(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v9_rlvect_1(B) &  (v1_vectsp_1(B) &  (v2_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) &  (v1_vectsp_2(B) &  (v1_algstr_1(B) &  (v2_algstr_1(B) &  (v3_algstr_1(B) &  (v4_algstr_1(B) & v2_ring_3(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc22_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (l6_algstr_0(B) &  ( ~ (v2_struct_0(B))  &  (v5_algstr_0(B) &  (v6_algstr_0(B) &  (v7_algstr_0(B) &  (v12_algstr_0(B) &  (v13_algstr_0(B) &  (v14_algstr_0(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v9_rlvect_1(B) &  (v1_vectsp_1(B) &  (v2_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) &  (v1_algstr_1(B) &  (v2_algstr_1(B) &  (v3_algstr_1(B) &  (v4_algstr_1(B) & v2_ring_3(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc23_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (l6_algstr_0(B) &  ( ~ (v2_struct_0(B))  &  (v5_algstr_0(B) &  (v6_algstr_0(B) &  (v7_algstr_0(B) &  (v12_algstr_0(B) &  (v13_algstr_0(B) &  (v14_algstr_0(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v9_rlvect_1(B) &  (v1_vectsp_1(B) &  (v2_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) &  (v1_algstr_1(B) &  (v2_algstr_1(B) &  (v3_algstr_1(B) &  (v4_algstr_1(B) & v2_ring_3(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc24_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (l6_algstr_0(B) &  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v5_algstr_0(B) &  (v6_algstr_0(B) &  (v7_algstr_0(B) &  (v12_algstr_0(B) &  (v13_algstr_0(B) &  (v14_algstr_0(B) &  (v33_algstr_0(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v9_rlvect_1(B) &  (v1_vectsp_1(B) &  (v2_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) &  (v1_vectsp_2(B) &  (v3_gcd_1(B) &  (v1_algstr_1(B) &  (v2_algstr_1(B) &  (v3_algstr_1(B) &  (v4_algstr_1(B) &  (v8_ideal_1(B) &  (v1_int_3(B) &  (v8_ring_2(B) & v2_ring_3(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc25_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (l6_algstr_0(B) &  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v5_algstr_0(B) &  (v6_algstr_0(B) &  (v7_algstr_0(B) &  (v12_algstr_0(B) &  (v13_algstr_0(B) &  (v14_algstr_0(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v9_rlvect_1(B) &  (v1_vectsp_1(B) &  (v2_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) &  (v1_vectsp_2(B) &  (v1_algstr_1(B) &  (v2_algstr_1(B) &  (v3_algstr_1(B) &  (v4_algstr_1(B) & v2_ring_3(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc26_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (l6_algstr_0(B) &  ( ~ (v2_struct_0(B))  &  (v5_algstr_0(B) &  (v6_algstr_0(B) &  (v7_algstr_0(B) &  (v12_algstr_0(B) &  (v13_algstr_0(B) &  (v14_algstr_0(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v9_rlvect_1(B) &  (v1_vectsp_1(B) &  (v2_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) &  (v1_algstr_1(B) &  (v2_algstr_1(B) &  (v3_algstr_1(B) &  (v4_algstr_1(B) & v2_ring_3(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc27_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (l6_algstr_0(B) &  ( ~ (v2_struct_0(B))  &  (v5_algstr_0(B) &  (v6_algstr_0(B) &  (v7_algstr_0(B) &  (v12_algstr_0(B) &  (v13_algstr_0(B) &  (v14_algstr_0(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v9_rlvect_1(B) &  (v1_vectsp_1(B) &  (v2_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) &  (v1_algstr_1(B) &  (v2_algstr_1(B) &  (v3_algstr_1(B) &  (v4_algstr_1(B) & v2_ring_3(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc28_ring_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_ring_3(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v1_partfun1(C, u1_struct_0(A)) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v6_group_1(C, A, B) &  (v13_vectsp_1(C, A, B) &  (v7_mod_4(C, A, B) & v1_group_6(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc29_ring_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_ring_3(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A)))) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v5_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v1_partfun1(C, u1_struct_0(B)) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(A)) &  (v6_group_1(C, B, A) &  (v13_vectsp_1(C, B, A) &  (v7_mod_4(C, B, A) & v1_group_6(C, B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc3_ring_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_ring_3(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (l6_algstr_0(C) =>  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_group_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) & v2_ring_3(C, B)) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_group_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v2_ring_3(C, A) & v2_ring_3(C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc4_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (l6_algstr_0(B) =>  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & v2_ring_3(B, A)) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v1_ring_3(B, A) & v2_ring_3(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc5_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (l6_algstr_0(B) =>  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & v2_ring_3(B, A)) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & v2_ring_3(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc6_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (l6_algstr_0(B) =>  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & v2_ring_3(B, A)) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v1_vectsp_2(B) & v2_ring_3(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc7_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (l6_algstr_0(B) =>  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & v2_ring_3(B, A)) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & v2_ring_3(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc8_ring_3, axiom, v3_ring_3(k1_int_3, k5_numbers)).
fof(fc9_ring_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v2_xxreal_0(A))  => v3_ring_3(k9_int_3(A), A)) ) ).
fof(rc30_ring_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (l6_algstr_0(B) &  ( ~ (v2_struct_0(B))  &  (v5_algstr_0(B) &  (v6_algstr_0(B) &  (v7_algstr_0(B) &  (v12_algstr_0(B) &  (v13_algstr_0(B) &  (v14_algstr_0(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v9_rlvect_1(B) &  (v1_vectsp_1(B) &  (v2_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) &  (v1_algstr_1(B) &  (v2_algstr_1(B) &  (v3_algstr_1(B) &  (v4_algstr_1(B) & v3_ring_3(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc10_ring_3, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) & v2_xxreal_0(A))  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_ring_3(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) )  =>  (v7_ordinal1(k3_ring_3(B)) & v2_xxreal_0(k3_ring_3(B))) ) ) ).
fof(fc11_ring_3, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) & v2_xxreal_0(A))  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_ring_3(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) )  =>  ~ (v1_xboole_0(k4_ring_3(B))) ) ) ).
fof(fc12_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (v1_funct_1(k5_ring_3(A)) &  (v1_funct_2(k5_ring_3(A), u1_struct_0(k1_int_3), u1_struct_0(A)) &  (v6_group_1(k5_ring_3(A), k1_int_3, A) &  (v13_vectsp_1(k5_ring_3(A), k1_int_3, A) & v1_group_6(k5_ring_3(A), k1_int_3, A)) ) ) ) ) ) ).
fof(cc8_ring_3, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) & v5_vectsp_1(A)) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & v3_ring_2(A, k1_int_3)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc13_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_ring_3(A, k5_numbers) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k5_ring_3(A)) &  (v1_funct_2(k5_ring_3(A), u1_struct_0(k1_int_3), u1_struct_0(A)) & v3_mod_4(k5_ring_3(A), k1_int_3, A)) ) ) ) ).
fof(rc31_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_ring_3(A, k5_numbers) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_int_3), u1_struct_0(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(k1_int_3)) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, u1_struct_0(k1_int_3)) &  (v1_funct_2(B, u1_struct_0(k1_int_3), u1_struct_0(A)) &  (v6_group_1(B, k1_int_3, A) &  (v13_vectsp_1(B, k1_int_3, A) &  (v3_mod_4(B, k1_int_3, A) & v1_group_6(B, k1_int_3, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc9_ring_3, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_ring_3(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (l6_algstr_0(C) =>  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_group_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) & v1_ring_3(C, B)) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_group_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) & v3_ring_3(C, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc10_ring_3, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_ring_3(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_c0sp1(C, B) => v3_ring_3(C, A)) ) ) ) ).
fof(fc14_ring_3, axiom,  (v36_algstr_0(k1_complfld) & v3_ring_3(k1_complfld, k5_numbers)) ).
fof(fc15_ring_3, axiom,  (v36_algstr_0(k2_vectsp_1) & v3_ring_3(k2_vectsp_1, k5_numbers)) ).
fof(fc16_ring_3, axiom,  ( ~ (v2_struct_0(k11_gaussint))  &  (v36_algstr_0(k11_gaussint) & v3_ring_3(k11_gaussint, k5_numbers)) ) ).
fof(rc32_ring_3, axiom,  (? [A] :  (l6_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v5_algstr_0(A) &  (v6_algstr_0(A) &  (v7_algstr_0(A) &  (v12_algstr_0(A) &  (v13_algstr_0(A) &  (v14_algstr_0(A) &  (v33_algstr_0(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v9_rlvect_1(A) &  (v1_vectsp_1(A) &  (v2_vectsp_1(A) &  (v3_vectsp_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v6_vectsp_1(A) &  (v1_vectsp_2(A) &  (v3_gcd_1(A) &  (v1_algstr_1(A) &  (v2_algstr_1(A) &  (v3_algstr_1(A) &  (v4_algstr_1(A) &  (v8_ideal_1(A) &  (v1_int_3(A) &  (v3_ring_2(A, k1_int_3) &  (v8_ring_2(A) & v3_ring_3(A, k5_numbers)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc33_ring_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (? [B] :  (l6_algstr_0(B) &  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v5_algstr_0(B) &  (v6_algstr_0(B) &  (v7_algstr_0(B) &  (v12_algstr_0(B) &  (v13_algstr_0(B) &  (v14_algstr_0(B) &  (v33_algstr_0(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v9_rlvect_1(B) &  (v1_vectsp_1(B) &  (v2_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) &  (v1_vectsp_2(B) &  (v3_gcd_1(B) &  (v1_algstr_1(B) &  (v2_algstr_1(B) &  (v3_algstr_1(B) &  (v4_algstr_1(B) &  (v8_ideal_1(B) &  (v1_int_3(B) &  (v3_ring_2(B, k1_int_3) &  (v8_ring_2(B) & v3_ring_3(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc17_ring_3, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  &  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v1_vectsp_2(B) &  (v3_ring_3(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (v7_ordinal1(k3_ring_3(B)) & v1_int_2(k3_ring_3(B))) ) ) ).
fof(cc11_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_ring_3(A, k5_numbers) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ec_pf_1(B, A) => v3_ring_3(B, k5_numbers)) ) ) ) ).
fof(cc12_ring_3, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  &  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_ring_3(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_ec_pf_1(C, B) => v3_ring_3(C, A)) ) ) ) ).
fof(fc18_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v6_struct_0(k7_ring_3(A)))  & v36_algstr_0(k7_ring_3(A))) ) ) ).
fof(fc19_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (v13_algstr_0(k7_ring_3(A)) &  (v36_algstr_0(k7_ring_3(A)) &  (v2_rlvect_1(k7_ring_3(A)) &  (v3_rlvect_1(k7_ring_3(A)) & v4_rlvect_1(k7_ring_3(A))) ) ) ) ) ) ).
fof(fc20_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (v36_algstr_0(k7_ring_3(A)) & v5_group_1(k7_ring_3(A))) ) ) ).
fof(fc21_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (v33_algstr_0(k7_ring_3(A)) &  (v36_algstr_0(k7_ring_3(A)) &  (v3_group_1(k7_ring_3(A)) &  (v4_vectsp_1(k7_ring_3(A)) & v5_vectsp_1(k7_ring_3(A))) ) ) ) ) ) ).
fof(fc22_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (v36_algstr_0(k7_ring_3(A)) & v1_ec_pf_1(k7_ring_3(A))) ) ) ).
fof(fc23_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k11_ring_3(A)) &  (v1_funct_2(k11_ring_3(A), u1_struct_0(k11_gaussint), u1_struct_0(A)) & v6_group_1(k11_ring_3(A), k11_gaussint, A)) ) ) ) ).
fof(fc24_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_ring_3(A, k5_numbers) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k11_ring_3(A)) &  (v1_funct_2(k11_ring_3(A), u1_struct_0(k11_gaussint), u1_struct_0(A)) &  (v13_vectsp_1(k11_ring_3(A), k11_gaussint, A) & v1_group_6(k11_ring_3(A), k11_gaussint, A)) ) ) ) ) ).
fof(cc13_ring_3, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & v3_ring_3(A, k5_numbers)) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_ring_3(A, k11_gaussint) & v3_ring_3(A, k5_numbers)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc34_ring_3, axiom,  (? [A] :  (l6_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v5_algstr_0(A) &  (v6_algstr_0(A) &  (v7_algstr_0(A) &  (v12_algstr_0(A) &  (v13_algstr_0(A) &  (v14_algstr_0(A) &  (v33_algstr_0(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v9_rlvect_1(A) &  (v1_vectsp_1(A) &  (v2_vectsp_1(A) &  (v3_vectsp_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v6_vectsp_1(A) &  (v1_vectsp_2(A) &  (v3_gcd_1(A) &  (v1_algstr_1(A) &  (v2_algstr_1(A) &  (v3_algstr_1(A) &  (v4_algstr_1(A) &  (v8_ideal_1(A) &  (v1_int_3(A) &  (v3_ring_2(A, k1_int_3) &  (v3_ring_2(A, k11_gaussint) &  (v8_ring_2(A) & v3_ring_3(A, k5_numbers)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc25_ring_3, axiom,  ( ~ (v2_struct_0(k11_gaussint))  &  (v36_algstr_0(k11_gaussint) & v3_ring_2(k11_gaussint, k11_gaussint)) ) ).
fof(fc26_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_ring_3(A, k5_numbers) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (v36_algstr_0(k7_ring_3(A)) & v3_ring_2(k7_ring_3(A), k11_gaussint)) ) ) ).
fof(fc27_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_ring_3(A, k5_numbers) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k11_ring_3(k8_ring_3(A))) &  (v1_funct_2(k11_ring_3(k8_ring_3(A)), u1_struct_0(k11_gaussint), u1_struct_0(k8_ring_3(A))) & v2_funct_2(k11_ring_3(k8_ring_3(A)), u1_struct_0(k8_ring_3(A)))) ) ) ) ).
fof(fc28_ring_3, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  &  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k13_ring_3(A, B)) &  (v1_funct_2(k13_ring_3(A, B), u1_struct_0(k9_int_3(A)), u1_struct_0(B)) & v6_group_1(k13_ring_3(A, B), k9_int_3(A), B)) ) ) ) ).
fof(fc29_ring_3, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  &  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_ring_3(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k13_ring_3(A, B)) &  (v1_funct_2(k13_ring_3(A, B), u1_struct_0(k9_int_3(A)), u1_struct_0(B)) &  (v13_vectsp_1(k13_ring_3(A, B), k9_int_3(A), B) & v1_group_6(k13_ring_3(A, B), k9_int_3(A), B)) ) ) ) ) ).
fof(cc14_ring_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  (l6_algstr_0(B) =>  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & v3_ring_3(B, A)) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v1_ring_3(B, k9_int_3(A)) & v3_ring_3(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc35_ring_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (? [B] :  (l6_algstr_0(B) &  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  ( ~ (v7_struct_0(B))  &  (v5_algstr_0(B) &  (v6_algstr_0(B) &  (v7_algstr_0(B) &  (v12_algstr_0(B) &  (v13_algstr_0(B) &  (v14_algstr_0(B) &  (v33_algstr_0(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v9_rlvect_1(B) &  (v1_vectsp_1(B) &  (v2_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) &  (v1_vectsp_2(B) &  (v3_gcd_1(B) &  (v1_algstr_1(B) &  (v2_algstr_1(B) &  (v3_algstr_1(B) &  (v4_algstr_1(B) &  (v8_ideal_1(B) &  (v1_int_3(B) &  (v3_ring_2(B, k1_int_3) &  (v3_ring_2(B, k9_int_3(A)) &  (v8_ring_2(B) & v3_ring_3(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc30_ring_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  => v3_ring_2(k9_int_3(A), k9_int_3(A))) ) ).
fof(fc31_ring_3, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  &  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_ring_3(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (v36_algstr_0(k7_ring_3(B)) & v3_ring_2(k7_ring_3(B), k9_int_3(A))) ) ) ).
fof(fc32_ring_3, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  &  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_ring_3(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k13_ring_3(A, k8_ring_3(B))) &  (v1_funct_2(k13_ring_3(A, k8_ring_3(B)), u1_struct_0(k9_int_3(A)), u1_struct_0(k8_ring_3(B))) & v2_funct_2(k13_ring_3(A, k8_ring_3(B)), u1_struct_0(k8_ring_3(B)))) ) ) ) ).
fof(fc33_ring_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  => v1_ec_pf_1(k9_int_3(A))) ) ).
fof(t1_ring_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (! [D] :  ( (r2_hidden(C, B) & r2_hidden(D, B))  => k1_binop_1(k1_realset1(A, B), C, D)=k1_binop_1(A, C, D)) ) ) ) ) ) ).
fof(t2_ring_3, axiom, k1_realset1(k3_binop_2, k1_numbers)=k9_binop_2).
fof(t3_ring_3, axiom, k1_realset1(k5_binop_2, k1_numbers)=k11_binop_2).
fof(t4_ring_3, axiom, k1_realset1(k15_binop_2, k4_numbers)=k20_binop_2).
fof(t5_ring_3, axiom, k1_realset1(k17_binop_2, k4_numbers)=k22_binop_2).
fof(t6_ring_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  (r1_int_1(A, B) => k4_int_1(B, A)=k7_xcmplx_0(B, A)) ) ) ) ) ).
fof(t7_ring_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) => k4_int_1(B, k3_int_2(B, A))=k7_xcmplx_0(B, k3_int_2(B, A))) ) ) ) ).
fof(t8_ring_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) => k3_nat_d(A, k3_int_2(A, B))=k7_xcmplx_0(A, k3_int_2(A, B))) ) ) ) ).
fof(t9_ring_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_int_1(C) =>  ( (r1_int_1(A, C) & r1_nat_d(A, B))  => k7_xcmplx_0(C, B)=k7_xcmplx_0(k4_int_1(C, A), k3_nat_d(B, A))) ) ) ) ) ) ) ).
fof(t10_ring_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) => k7_xcmplx_0(B, A)=k7_xcmplx_0(k4_int_1(B, k3_int_2(B, A)), k3_nat_d(A, k3_int_2(B, A)))) ) ) ) ).
fof(t11_ring_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  &  (r1_int_1(k3_xcmplx_0(A, B), A) &  ( ~ (B=1)  &  ~ (B=k4_xcmplx_0(1)) ) ) ) ) ) ) ) ) ).
fof(t12_ring_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_nat_d(k3_xcmplx_0(A, B), A) =>  (r1_xxreal_0(A, k5_numbers) | B=1) ) ) ) ) ) ).
fof(t13_ring_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  (r1_int_1(A, B) => r1_int_1(k4_int_1(B, A), B)) ) ) ) ) ).
fof(t14_ring_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  ( ~ (A=k5_numbers)  => k3_int_2(k4_int_1(B, k3_int_2(B, A)), k3_nat_d(A, k3_int_2(B, A)))=1) ) ) ) ) ).
fof(t15_ring_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  ( ~ (A=k5_numbers)  =>  (k1_rat_1(k7_xcmplx_0(B, A))=k3_nat_d(A, k3_int_2(B, A)) & k2_rat_1(k7_xcmplx_0(B, A))=k4_int_1(B, k3_int_2(B, A))) ) ) ) ) ) ).
fof(t16_ring_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  ( ~ (A=k5_numbers)  =>  (k1_rat_1(k7_xcmplx_0(B, A))=k7_xcmplx_0(A, k3_int_2(B, A)) & k2_rat_1(k7_xcmplx_0(B, A))=k7_xcmplx_0(B, k3_int_2(B, A))) ) ) ) ) ) ).
fof(t17_ring_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  ( ~ (A=k5_numbers)  =>  (k1_rat_1(k4_xcmplx_0(k7_xcmplx_0(B, A)))=k3_nat_d(A, k3_int_2(k4_xcmplx_0(B), A)) & k2_rat_1(k4_xcmplx_0(k7_xcmplx_0(B, A)))=k4_int_1(k4_xcmplx_0(B), k3_int_2(k4_xcmplx_0(B), A))) ) ) ) ) ) ).
fof(t18_ring_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  ( ~ (A=k5_numbers)  =>  (k1_rat_1(k4_xcmplx_0(k7_xcmplx_0(B, A)))=k7_xcmplx_0(A, k3_int_2(k4_xcmplx_0(B), A)) & k2_rat_1(k4_xcmplx_0(k7_xcmplx_0(B, A)))=k7_xcmplx_0(k4_xcmplx_0(B), k3_int_2(k4_xcmplx_0(B), A))) ) ) ) ) ) ).
fof(t19_ring_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  ( ~ (A=k5_numbers)  =>  (k1_rat_1(k5_xcmplx_0(k7_xcmplx_0(A, B)))=k3_nat_d(A, k3_int_2(A, B)) & k2_rat_1(k5_xcmplx_0(k7_xcmplx_0(A, B)))=k4_int_1(B, k3_int_2(A, B))) ) ) ) ) ) ).
fof(t20_ring_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v1_int_1(B) =>  ( ~ (A=k5_numbers)  =>  (k1_rat_1(k5_xcmplx_0(k7_xcmplx_0(A, B)))=k7_xcmplx_0(A, k3_int_2(A, B)) & k2_rat_1(k5_xcmplx_0(k7_xcmplx_0(A, B)))=k7_xcmplx_0(B, k3_int_2(A, B))) ) ) ) ) ) ).
fof(t21_ring_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  ~ ( ( ~ (A=k5_numbers)  &  ( ~ (B=k5_numbers)  &  ~ ( (k1_rat_1(k2_xcmplx_0(k7_xcmplx_0(C, A), k7_xcmplx_0(D, B)))=k3_nat_d(k3_xcmplx_0(A, B), k3_int_2(k2_xcmplx_0(k3_xcmplx_0(C, B), k3_xcmplx_0(D, A)), k3_xcmplx_0(A, B))) & k2_rat_1(k2_xcmplx_0(k7_xcmplx_0(C, A), k7_xcmplx_0(D, B)))=k4_int_1(k2_xcmplx_0(k3_xcmplx_0(C, B), k3_xcmplx_0(D, A)), k3_int_2(k2_xcmplx_0(k3_xcmplx_0(C, B), k3_xcmplx_0(D, A)), k3_xcmplx_0(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_ring_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  ~ ( ( ~ (A=k5_numbers)  &  ( ~ (B=k5_numbers)  &  ~ ( (k1_rat_1(k2_xcmplx_0(k7_xcmplx_0(C, A), k7_xcmplx_0(D, B)))=k7_xcmplx_0(k3_xcmplx_0(A, B), k3_int_2(k2_xcmplx_0(k3_xcmplx_0(C, B), k3_xcmplx_0(D, A)), k3_xcmplx_0(A, B))) & k2_rat_1(k2_xcmplx_0(k7_xcmplx_0(C, A), k7_xcmplx_0(D, B)))=k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(C, B), k3_xcmplx_0(D, A)), k3_int_2(k2_xcmplx_0(k3_xcmplx_0(C, B), k3_xcmplx_0(D, A)), k3_xcmplx_0(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_ring_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  ~ ( ( ~ (A=k5_numbers)  &  ( ~ (B=k5_numbers)  &  ~ ( (k1_rat_1(k6_xcmplx_0(k7_xcmplx_0(C, A), k7_xcmplx_0(D, B)))=k3_nat_d(k3_xcmplx_0(A, B), k3_int_2(k6_xcmplx_0(k3_xcmplx_0(C, B), k3_xcmplx_0(D, A)), k3_xcmplx_0(A, B))) & k2_rat_1(k6_xcmplx_0(k7_xcmplx_0(C, A), k7_xcmplx_0(D, B)))=k4_int_1(k6_xcmplx_0(k3_xcmplx_0(C, B), k3_xcmplx_0(D, A)), k3_int_2(k6_xcmplx_0(k3_xcmplx_0(C, B), k3_xcmplx_0(D, A)), k3_xcmplx_0(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_ring_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  ~ ( ( ~ (A=k5_numbers)  &  ( ~ (B=k5_numbers)  &  ~ ( (k1_rat_1(k6_xcmplx_0(k7_xcmplx_0(C, A), k7_xcmplx_0(D, B)))=k7_xcmplx_0(k3_xcmplx_0(A, B), k3_int_2(k6_xcmplx_0(k3_xcmplx_0(C, B), k3_xcmplx_0(D, A)), k3_xcmplx_0(A, B))) & k2_rat_1(k6_xcmplx_0(k7_xcmplx_0(C, A), k7_xcmplx_0(D, B)))=k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(C, B), k3_xcmplx_0(D, A)), k3_int_2(k6_xcmplx_0(k3_xcmplx_0(C, B), k3_xcmplx_0(D, A)), k3_xcmplx_0(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_ring_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  ~ ( ( ~ (A=k5_numbers)  &  ( ~ (B=k5_numbers)  &  ~ ( (k1_rat_1(k3_xcmplx_0(k7_xcmplx_0(C, A), k7_xcmplx_0(D, B)))=k3_nat_d(k3_xcmplx_0(A, B), k3_int_2(k3_xcmplx_0(C, D), k3_xcmplx_0(A, B))) & k2_rat_1(k3_xcmplx_0(k7_xcmplx_0(C, A), k7_xcmplx_0(D, B)))=k4_int_1(k3_xcmplx_0(C, D), k3_int_2(k3_xcmplx_0(C, D), k3_xcmplx_0(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_ring_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  ~ ( ( ~ (A=k5_numbers)  &  ( ~ (B=k5_numbers)  &  ~ ( (k1_rat_1(k3_xcmplx_0(k7_xcmplx_0(C, A), k7_xcmplx_0(D, B)))=k7_xcmplx_0(k3_xcmplx_0(A, B), k3_int_2(k3_xcmplx_0(C, D), k3_xcmplx_0(A, B))) & k2_rat_1(k3_xcmplx_0(k7_xcmplx_0(C, A), k7_xcmplx_0(D, B)))=k7_xcmplx_0(k3_xcmplx_0(C, D), k3_int_2(k3_xcmplx_0(C, D), k3_xcmplx_0(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_ring_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  ~ ( ( ~ (A=k5_numbers)  &  ( ~ (B=k5_numbers)  &  ~ ( (k1_rat_1(k7_xcmplx_0(k7_xcmplx_0(C, A), k7_xcmplx_0(B, D)))=k3_nat_d(k3_xcmplx_0(A, B), k3_int_2(k3_xcmplx_0(C, D), k3_xcmplx_0(A, B))) & k2_rat_1(k7_xcmplx_0(k7_xcmplx_0(C, A), k7_xcmplx_0(B, D)))=k4_int_1(k3_xcmplx_0(C, D), k3_int_2(k3_xcmplx_0(C, D), k3_xcmplx_0(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_ring_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  ~ ( ( ~ (A=k5_numbers)  &  ( ~ (B=k5_numbers)  &  ~ ( (k1_rat_1(k7_xcmplx_0(k7_xcmplx_0(C, A), k7_xcmplx_0(B, D)))=k7_xcmplx_0(k3_xcmplx_0(A, B), k3_int_2(k3_xcmplx_0(C, D), k3_xcmplx_0(A, B))) & k2_rat_1(k7_xcmplx_0(k7_xcmplx_0(C, A), k7_xcmplx_0(B, D)))=k7_xcmplx_0(k3_xcmplx_0(C, D), k3_int_2(k3_xcmplx_0(C, D), k3_xcmplx_0(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_ring_3, axiom,  (! [A] :  (v1_rat_1(A) => k1_rat_1(A)=k3_nat_d(k1_rat_1(A), k3_int_2(k2_rat_1(A), k1_rat_1(A)))) ) ).
fof(t30_ring_3, axiom,  (! [A] :  (v1_rat_1(A) => k2_rat_1(A)=k4_int_1(k2_rat_1(A), k3_int_2(k2_rat_1(A), k1_rat_1(A)))) ) ).
fof(t31_ring_3, axiom,  (! [A] :  (v1_rat_1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_int_1(C) =>  ( (B=k1_rat_1(A) & C=k2_rat_1(A))  =>  (k1_rat_1(k4_xcmplx_0(A))=k3_nat_d(B, k3_int_2(k4_xcmplx_0(C), B)) & k2_rat_1(k4_xcmplx_0(A))=k4_int_1(k4_xcmplx_0(C), k3_int_2(k4_xcmplx_0(C), B))) ) ) ) ) ) ) ) ).
fof(t32_ring_3, axiom,  (! [A] :  (v1_rat_1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v1_int_1(C) =>  ( (B=k1_rat_1(A) & C=k2_rat_1(A))  =>  (k1_rat_1(k4_xcmplx_0(A))=k7_xcmplx_0(B, k3_int_2(k4_xcmplx_0(C), B)) & k2_rat_1(k4_xcmplx_0(A))=k7_xcmplx_0(k4_xcmplx_0(C), k3_int_2(k4_xcmplx_0(C), B))) ) ) ) ) ) ) ) ).
fof(t33_ring_3, axiom,  (! [A] :  (v1_rat_1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (B=k1_rat_1(A) & C=k2_rat_1(A))  =>  (C=k5_numbers |  (k1_rat_1(k5_xcmplx_0(A))=k3_nat_d(C, k6_nat_d(C, B)) & k2_rat_1(k5_xcmplx_0(A))=k3_nat_d(B, k6_nat_d(C, B))) ) ) ) ) ) ) ) ) ).
fof(t34_ring_3, axiom,  (! [A] :  (v1_rat_1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (B=k1_rat_1(A) & C=k2_rat_1(A))  =>  (C=k5_numbers |  (k1_rat_1(k5_xcmplx_0(A))=k7_xcmplx_0(C, k6_nat_d(C, B)) & k2_rat_1(k5_xcmplx_0(A))=k7_xcmplx_0(B, k6_nat_d(C, B))) ) ) ) ) ) ) ) ) ).
fof(t35_ring_3, axiom,  (! [A] :  (v1_rat_1(A) =>  (! [B] :  (v1_rat_1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v1_int_1(E) =>  (! [F] :  (v1_int_1(F) =>  ( (C=k1_rat_1(A) &  (D=k1_rat_1(B) &  (E=k2_rat_1(A) & F=k2_rat_1(B)) ) )  =>  (k1_rat_1(k2_xcmplx_0(A, B))=k3_nat_d(k3_xcmplx_0(C, D), k3_int_2(k2_xcmplx_0(k3_xcmplx_0(E, D), k3_xcmplx_0(F, C)), k3_xcmplx_0(C, D))) & k2_rat_1(k2_xcmplx_0(A, B))=k4_int_1(k2_xcmplx_0(k3_xcmplx_0(E, D), k3_xcmplx_0(F, C)), k3_int_2(k2_xcmplx_0(k3_xcmplx_0(E, D), k3_xcmplx_0(F, C)), k3_xcmplx_0(C, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_ring_3, axiom,  (! [A] :  (v1_rat_1(A) =>  (! [B] :  (v1_rat_1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v1_int_1(E) =>  (! [F] :  (v1_int_1(F) =>  ( (C=k1_rat_1(A) &  (D=k1_rat_1(B) &  (E=k2_rat_1(A) & F=k2_rat_1(B)) ) )  =>  (k1_rat_1(k2_xcmplx_0(A, B))=k7_xcmplx_0(k3_xcmplx_0(C, D), k3_int_2(k2_xcmplx_0(k3_xcmplx_0(E, D), k3_xcmplx_0(F, C)), k3_xcmplx_0(C, D))) & k2_rat_1(k2_xcmplx_0(A, B))=k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(E, D), k3_xcmplx_0(F, C)), k3_int_2(k2_xcmplx_0(k3_xcmplx_0(E, D), k3_xcmplx_0(F, C)), k3_xcmplx_0(C, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_ring_3, axiom,  (! [A] :  (v1_rat_1(A) =>  (! [B] :  (v1_rat_1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v1_int_1(E) =>  (! [F] :  (v1_int_1(F) =>  ( (C=k1_rat_1(A) &  (D=k1_rat_1(B) &  (E=k2_rat_1(A) & F=k2_rat_1(B)) ) )  =>  (k1_rat_1(k6_xcmplx_0(A, B))=k3_nat_d(k3_xcmplx_0(C, D), k3_int_2(k6_xcmplx_0(k3_xcmplx_0(E, D), k3_xcmplx_0(F, C)), k3_xcmplx_0(C, D))) & k2_rat_1(k6_xcmplx_0(A, B))=k4_int_1(k6_xcmplx_0(k3_xcmplx_0(E, D), k3_xcmplx_0(F, C)), k3_int_2(k6_xcmplx_0(k3_xcmplx_0(E, D), k3_xcmplx_0(F, C)), k3_xcmplx_0(C, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_ring_3, axiom,  (! [A] :  (v1_rat_1(A) =>  (! [B] :  (v1_rat_1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v1_int_1(E) =>  (! [F] :  (v1_int_1(F) =>  ( (C=k1_rat_1(A) &  (D=k1_rat_1(B) &  (E=k2_rat_1(A) & F=k2_rat_1(B)) ) )  =>  (k1_rat_1(k6_xcmplx_0(A, B))=k7_xcmplx_0(k3_xcmplx_0(C, D), k3_int_2(k6_xcmplx_0(k3_xcmplx_0(E, D), k3_xcmplx_0(F, C)), k3_xcmplx_0(C, D))) & k2_rat_1(k6_xcmplx_0(A, B))=k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(E, D), k3_xcmplx_0(F, C)), k3_int_2(k6_xcmplx_0(k3_xcmplx_0(E, D), k3_xcmplx_0(F, C)), k3_xcmplx_0(C, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_ring_3, axiom,  (! [A] :  (v1_rat_1(A) =>  (! [B] :  (v1_rat_1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v1_int_1(E) =>  (! [F] :  (v1_int_1(F) =>  ( (C=k1_rat_1(A) &  (D=k1_rat_1(B) &  (E=k2_rat_1(A) & F=k2_rat_1(B)) ) )  =>  (k1_rat_1(k3_xcmplx_0(A, B))=k3_nat_d(k3_xcmplx_0(C, D), k3_int_2(k3_xcmplx_0(E, F), k3_xcmplx_0(C, D))) & k2_rat_1(k3_xcmplx_0(A, B))=k4_int_1(k3_xcmplx_0(E, F), k3_int_2(k3_xcmplx_0(E, F), k3_xcmplx_0(C, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_ring_3, axiom,  (! [A] :  (v1_rat_1(A) =>  (! [B] :  (v1_rat_1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v1_int_1(E) =>  (! [F] :  (v1_int_1(F) =>  ( (C=k1_rat_1(A) &  (D=k1_rat_1(B) &  (E=k2_rat_1(A) & F=k2_rat_1(B)) ) )  =>  (k1_rat_1(k3_xcmplx_0(A, B))=k7_xcmplx_0(k3_xcmplx_0(C, D), k3_int_2(k3_xcmplx_0(E, F), k3_xcmplx_0(C, D))) & k2_rat_1(k3_xcmplx_0(A, B))=k7_xcmplx_0(k3_xcmplx_0(E, F), k3_int_2(k3_xcmplx_0(E, F), k3_xcmplx_0(C, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_ring_3, axiom,  (! [A] :  (v1_rat_1(A) =>  (! [B] :  (v1_rat_1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (C=k1_rat_1(A) &  (D=k1_rat_1(B) &  (E=k2_rat_1(A) & F=k2_rat_1(B)) ) )  =>  (F=k5_numbers |  (k1_rat_1(k7_xcmplx_0(A, B))=k3_nat_d(k3_xcmplx_0(C, F), k6_nat_d(k3_xcmplx_0(E, D), k3_xcmplx_0(C, F))) & k2_rat_1(k7_xcmplx_0(A, B))=k3_nat_d(k3_xcmplx_0(E, D), k6_nat_d(k3_xcmplx_0(E, D), k3_xcmplx_0(C, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_ring_3, axiom,  (! [A] :  (v1_rat_1(A) =>  (! [B] :  (v1_rat_1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ( (C=k1_rat_1(A) &  (D=k1_rat_1(B) &  (E=k2_rat_1(A) & F=k2_rat_1(B)) ) )  =>  (F=k5_numbers |  (k1_rat_1(k7_xcmplx_0(A, B))=k7_xcmplx_0(k3_xcmplx_0(C, F), k6_nat_d(k3_xcmplx_0(E, D), k3_xcmplx_0(C, F))) & k2_rat_1(k7_xcmplx_0(A, B))=k7_xcmplx_0(k3_xcmplx_0(E, D), k6_nat_d(k3_xcmplx_0(E, D), k3_xcmplx_0(C, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (r1_ring_3(A, B) <=>  (? [C] :  ( (v36_algstr_0(C) & m1_c0sp1(C, A))  & r2_quofield(C, B)) ) ) ) ) ) ) ).
fof(t43_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ec_pf_1(B, A) => m1_c0sp1(B, A)) ) ) ) ).
fof(t44_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_group_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) )  =>  ( (r2_ring_3(A, B) & r2_ring_3(B, C))  => r2_ring_3(A, C)) ) ) ) ) ) ) ).
fof(t45_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_c0sp1(B, A) =>  (m1_ec_pf_1(B, A) <=>  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v36_algstr_0(B) & m1_ec_pf_1(B, A))  => r1_ring_3(A, B)) ) ) ) ).
fof(t47_ring_3, axiom, m1_c0sp1(k1_int_3, k11_gaussint)).
fof(t48_ring_3, axiom, m1_ec_pf_1(k2_vectsp_1, k1_complfld)).
fof(t49_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_ring_2(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_c0sp1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(B))))) )  =>  ( (E=k2_partfun1(u1_struct_0(A), u1_struct_0(B), D, u1_struct_0(C)) & v13_vectsp_1(D, A, B))  => v13_vectsp_1(E, C, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_ring_2(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_c0sp1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(B))))) )  =>  ( (E=k2_partfun1(u1_struct_0(A), u1_struct_0(B), D, u1_struct_0(C)) & v1_group_6(D, A, B))  => v1_group_6(E, C, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_ring_2(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_c0sp1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(B))))) )  =>  ( (E=k2_partfun1(u1_struct_0(A), u1_struct_0(B), D, u1_struct_0(C)) & v6_group_1(D, A, B))  => v6_group_1(E, C, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_ring_2(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_c0sp1(C, A) => v3_ring_2(B, C)) ) ) ) ) ) ).
fof(t53_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_ring_2(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_c0sp1(C, A) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v3_group_1(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) &  (v3_ring_2(D, C) & l6_algstr_0(D)) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) &  (v6_group_1(E, A, B) &  (v13_vectsp_1(E, A, B) &  (v1_group_6(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (B=D =>  (v1_funct_1(k2_matrlin2(C, E)) &  (v1_funct_2(k2_matrlin2(C, E), u1_struct_0(C), u1_struct_0(D)) &  (v6_group_1(k2_matrlin2(C, E), C, D) &  (v13_vectsp_1(k2_matrlin2(C, E), C, D) &  (v1_group_6(k2_matrlin2(C, E), C, D) & m1_subset_1(k2_matrlin2(C, E), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_ring_2(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_ec_pf_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(B))))) )  =>  ( (E=k2_partfun1(u1_struct_0(A), u1_struct_0(B), D, u1_struct_0(C)) & v13_vectsp_1(D, A, B))  => v13_vectsp_1(E, C, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_ring_2(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_ec_pf_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(B))))) )  =>  ( (E=k2_partfun1(u1_struct_0(A), u1_struct_0(B), D, u1_struct_0(C)) & v1_group_6(D, A, B))  => v1_group_6(E, C, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_ring_2(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_ec_pf_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(B))))) )  =>  ( (E=k2_partfun1(u1_struct_0(A), u1_struct_0(B), D, u1_struct_0(C)) & v6_group_1(D, A, B))  => v6_group_1(E, C, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_ring_2(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_ec_pf_1(C, A) => v3_ring_2(B, C)) ) ) ) ) ) ).
fof(t58_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_ring_2(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_ec_pf_1(C, A) =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  ( ~ (v6_struct_0(D))  &  (v13_algstr_0(D) &  (v33_algstr_0(D) &  (v3_group_1(D) &  (v5_group_1(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) &  (v3_ring_2(D, C) & l6_algstr_0(D)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) &  (v6_group_1(E, A, B) &  (v13_vectsp_1(E, A, B) &  (v1_group_6(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (B=D =>  (v1_funct_1(k2_matrlin2(C, E)) &  (v1_funct_2(k2_matrlin2(C, E), u1_struct_0(C), u1_struct_0(D)) &  (v6_group_1(k2_matrlin2(C, E), C, D) &  (v13_vectsp_1(k2_matrlin2(C, E), C, D) &  (v1_group_6(k2_matrlin2(C, E), C, D) & m1_subset_1(k2_matrlin2(C, E), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (D=k1_ring_3(A, B, C) <=>  ~ ( (! [E] :  (v7_ordinal1(E) =>  ( ~ ( (C=E & D=k5_binom(A, B, E)) )  &  ~ ( (C=k4_xcmplx_0(E) & D=k4_algstr_0(A, k5_binom(A, B, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_ring_3(A, B, k5_numbers)=k4_struct_0(A)) ) ) ) ).
fof(t60_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_ring_3(A, B, 1)=B) ) ) ) ).
fof(t61_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_ring_3(A, B, k4_xcmplx_0(1))=k4_algstr_0(A, B)) ) ) ) ).
fof(t62_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) => k1_ring_3(A, B, k2_xcmplx_0(C, D))=k3_rlvect_1(A, k1_ring_3(A, B, C), k1_ring_3(A, B, D))) ) ) ) ) ) ) ) ).
fof(t63_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_int_1(C) => k1_ring_3(A, B, k4_xcmplx_0(C))=k4_algstr_0(A, k1_ring_3(A, B, C))) ) ) ) ) ) ).
fof(t64_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) => k1_ring_3(A, B, k6_xcmplx_0(C, D))=k5_algstr_0(A, k1_ring_3(A, B, C), k1_ring_3(A, B, D))) ) ) ) ) ) ) ) ).
fof(t65_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) => k1_ring_3(A, B, k3_xcmplx_0(C, D))=k1_ring_3(A, k1_ring_3(A, B, D), C)) ) ) ) ) ) ) ) ).
fof(t66_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) => k1_ring_3(A, k1_ring_3(A, B, D), C)=k1_ring_3(A, k1_ring_3(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t67_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) &  (v6_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) => k1_ring_3(A, k5_struct_0(A), k3_xcmplx_0(B, C))=k6_algstr_0(A, k1_ring_3(A, k5_struct_0(A), B), k1_ring_3(A, k5_struct_0(A), C))) ) ) ) ) ) ).
fof(t68_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_ring_2(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v6_group_1(C, A, B) &  (v13_vectsp_1(C, A, B) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_int_1(E) => k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k1_ring_3(A, D, E))=k1_ring_3(B, k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, D), E)) ) ) ) ) ) ) ) ) ) ).
fof(d3_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (v1_ring_3(B, A) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  &  (v1_ringcat1(C, A, B) & v3_mod_4(C, A, B)) ) ) ) ) ) ) ) ).
fof(t69_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_ring_2(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_group_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v3_ring_2(C, B) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v6_group_1(D, A, B) &  (v13_vectsp_1(D, A, B) &  (v1_group_6(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) &  (v6_group_1(E, B, C) &  (v13_vectsp_1(E, B, C) &  (v1_group_6(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) )  => r1_tarski(k8_vectsp10(A, B, D), k8_vectsp10(A, C, k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t70_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_ring_2(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v3_group_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) &  (v1_ring_3(C, B) & l6_algstr_0(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) &  (v6_group_1(D, A, B) &  (v13_vectsp_1(D, A, B) &  (v1_group_6(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) &  (v6_group_1(E, B, C) &  (v13_vectsp_1(E, B, C) &  (v3_mod_4(E, B, C) &  (v1_group_6(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) ) ) ) ) )  => k8_vectsp10(A, B, D)=k8_vectsp10(A, C, k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t71_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_c0sp1(B, A) => v1_ring_3(A, B)) ) ) ) ).
fof(t72_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v1_ring_3(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  <=> r1_ring_3(B, A)) ) ) ) ) ).
fof(d4_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (v2_ring_3(B, A) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  &  (v1_ringcat1(C, A, B) & v7_mod_4(C, A, B)) ) ) ) ) ) ) ) ).
fof(t73_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_ring_3(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v6_group_1(C, A, B) &  (v13_vectsp_1(C, A, B) &  (v7_mod_4(C, A, B) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) )  =>  (v1_funct_1(k2_ring_3(A, B, C)) &  (v1_funct_2(k2_ring_3(A, B, C), u1_struct_0(B), u1_struct_0(A)) &  (v6_group_1(k2_ring_3(A, B, C), B, A) &  (v13_vectsp_1(k2_ring_3(A, B, C), B, A) &  (v7_mod_4(k2_ring_3(A, B, C), B, A) &  (v1_group_6(k2_ring_3(A, B, C), B, A) & m1_subset_1(k2_ring_3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t74_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_ring_3(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  => v2_ring_3(A, B)) ) ) ) ).
fof(t75_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (r1_ring_3(A, B) <=>  (? [C] :  ( (v36_algstr_0(C) & m1_ec_pf_1(C, A))  & r2_ring_3(C, B)) ) ) ) ) ) ) ).
fof(d5_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (B=k3_ring_3(A) <=>  ( (k1_ring_3(A, k5_struct_0(A), B)=k4_struct_0(A) &  ( ~ (B=k5_numbers)  &  (! [C] :  ( (v7_ordinal1(C) & v2_xxreal_0(C))  =>  ~ ( ( ~ (r1_xxreal_0(B, C))  & k1_ring_3(A, k5_struct_0(A), C)=k4_struct_0(A)) ) ) ) ) )  |  (B=k5_numbers &  (! [C] :  ( (v7_ordinal1(C) & v2_xxreal_0(C))  =>  ~ (k1_ring_3(A, k5_struct_0(A), C)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ).
fof(d6_ring_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (v3_ring_3(B, A) <=> k3_ring_3(B)=A) ) ) ) ) ).
fof(t76_ring_3, axiom, k3_ring_3(k1_int_3)=k5_numbers).
fof(t77_ring_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v2_xxreal_0(A))  => k3_ring_3(k9_int_3(A))=A) ) ).
fof(t78_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (k3_ring_3(A)=k5_numbers <=> k4_ring_3(A)=k1_xboole_0) ) ) ).
fof(t79_ring_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v2_xxreal_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_ring_3(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  => k3_ring_3(B)=k2_xxreal_2(k4_ring_3(B))) ) ) ) ).
fof(t80_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  => k3_ring_3(A)=k3_nat_1(k4_ring_3(A))) ) ).
fof(t81_ring_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_ring_3(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v7_ordinal1(C) & v2_xxreal_0(C))  =>  (m2_subset_1(C, k4_ordinal1, k4_ring_3(B)) <=> r1_nat_d(A, C)) ) ) ) ) ) ) ).
fof(d8_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k1_int_3), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_int_3), u1_struct_0(A))))) )  =>  (B=k5_ring_3(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_int_3)) => k3_funct_2(u1_struct_0(k1_int_3), u1_struct_0(A), B, C)=k1_ring_3(A, k5_struct_0(A), C)) ) ) ) ) ) ) ).
fof(t82_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v3_xxreal_0(B))  & m1_subset_1(B, u1_struct_0(k1_int_3)))  =>  (k3_ring_3(A)=B <=> k8_vectsp10(k1_int_3, A, k5_ring_3(A))=k7_ideal_1(k1_int_3, k6_domain_1(u1_struct_0(k1_int_3), B))) ) ) ) ) ).
fof(t83_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (k3_ring_3(A)=k5_numbers <=> v3_mod_4(k5_ring_3(A), k1_int_3, A)) ) ) ).
fof(t84_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k1_int_3), u1_struct_0(A)) &  (v6_group_1(B, k1_int_3, A) &  (v13_vectsp_1(B, k1_int_3, A) &  (v1_group_6(B, k1_int_3, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_int_3), u1_struct_0(A))))) ) ) ) )  => r2_funct_2(u1_struct_0(k1_int_3), u1_struct_0(A), B, k5_ring_3(A))) ) ) ) ).
fof(t85_ring_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k1_int_3), u1_struct_0(k1_int_3)) &  (v6_group_1(A, k1_int_3, k1_int_3) &  (v13_vectsp_1(A, k1_int_3, k1_int_3) &  (v1_group_6(A, k1_int_3, k1_int_3) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_int_3), u1_struct_0(k1_int_3))))) ) ) ) )  => r2_funct_2(u1_struct_0(k1_int_3), u1_struct_0(k1_int_3), A, k3_struct_0(k1_int_3))) ) ).
fof(t86_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (k3_ring_3(A)=k5_numbers | v1_int_2(k3_ring_3(A))) ) ) ).
fof(t87_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_ring_2(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  => r1_nat_d(k3_ring_3(B), k3_ring_3(A))) ) ) ) ).
fof(t88_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v1_ring_3(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  => k3_ring_3(B)=k3_ring_3(A)) ) ) ) ).
fof(t89_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_c0sp1(B, A) => k3_ring_3(B)=k3_ring_3(A)) ) ) ) ).
fof(d10_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v36_algstr_0(B) & l6_algstr_0(B))  =>  (B=k7_ring_3(A) <=>  (u1_struct_0(B)=k6_ring_3(A) &  (u1_algstr_0(B)=k1_realset1(u1_algstr_0(A), k6_ring_3(A)) &  (u2_algstr_0(B)=k1_realset1(u2_algstr_0(A), k6_ring_3(A)) &  (u3_struct_0(B)=k5_struct_0(A) & u2_struct_0(B)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ).
fof(t90_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v36_algstr_0(B) & m1_ec_pf_1(B, k8_ring_3(A)))  => B=k8_ring_3(A)) ) ) ) ).
fof(t91_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ec_pf_1(B, A) => m1_ec_pf_1(k8_ring_3(A), B)) ) ) ) ).
fof(t92_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (B=k8_ring_3(A) <=>  ( (v36_algstr_0(B) & m1_ec_pf_1(B, A))  &  (! [C] :  ( (v36_algstr_0(C) & m1_ec_pf_1(C, B))  => C=B) ) ) ) ) ) ) ) ).
fof(t93_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (B=k8_ring_3(A) <=>  ( (v36_algstr_0(B) & m1_ec_pf_1(B, A))  &  (! [C] :  (m1_ec_pf_1(C, A) => m1_ec_pf_1(B, C)) ) ) ) ) ) ) ) ).
fof(t94_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ec_pf_1(B, A) => k8_ring_3(B)=k8_ring_3(A)) ) ) ) ).
fof(t95_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  => k8_ring_3(k8_ring_3(A))=k8_ring_3(A)) ) ).
fof(t96_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (v1_ec_pf_1(A) <=> A=k8_ring_3(A)) ) ) ).
fof(t97_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_ring_3(A, k5_numbers) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & v1_int_1(B))  =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & v1_int_1(C))  =>  (r1_int_1(C, B) => k1_ring_3(A, k5_struct_0(A), k4_int_1(B, C))=k8_group_1(A, k1_ring_3(A, k5_struct_0(A), B), k9_algstr_0(A, k1_ring_3(A, k5_struct_0(A), C)))) ) ) ) ) ) ) ).
fof(d11_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k11_gaussint), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k11_gaussint), u1_struct_0(A))))) )  =>  (B=k11_ring_3(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(k11_gaussint)) => k3_funct_2(u1_struct_0(k11_gaussint), u1_struct_0(A), B, C)=k20_quofield(A, k3_funct_2(u1_struct_0(k1_int_3), u1_struct_0(A), k5_ring_3(A), k10_ring_3(C)), k3_funct_2(u1_struct_0(k1_int_3), u1_struct_0(A), k5_ring_3(A), k9_ring_3(C)))) ) ) ) ) ) ) ).
fof(t98_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  => k5_ring_3(A)=k2_partfun1(u1_struct_0(k11_gaussint), u1_struct_0(A), k11_ring_3(A), k4_numbers)) ) ).
fof(t99_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_ring_2(A, k11_gaussint) &  (v3_ring_3(A, k5_numbers) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k11_gaussint), u1_struct_0(A)) &  (v6_group_1(B, k11_gaussint, A) &  (v13_vectsp_1(B, k11_gaussint, A) &  (v1_group_6(B, k11_gaussint, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k11_gaussint), u1_struct_0(A))))) ) ) ) )  => r2_funct_2(u1_struct_0(k11_gaussint), u1_struct_0(A), B, k11_ring_3(A))) ) ) ) ).
fof(t100_ring_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, u1_struct_0(k11_gaussint), u1_struct_0(k11_gaussint)) &  (v6_group_1(A, k11_gaussint, k11_gaussint) &  (v13_vectsp_1(A, k11_gaussint, k11_gaussint) &  (v1_group_6(A, k11_gaussint, k11_gaussint) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k11_gaussint), u1_struct_0(k11_gaussint))))) ) ) ) )  => r2_funct_2(u1_struct_0(k11_gaussint), u1_struct_0(k11_gaussint), A, k3_struct_0(k11_gaussint))) ) ).
fof(t101_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_ring_3(A, k5_numbers) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  => r2_ring_3(k11_gaussint, k8_ring_3(A))) ) ).
fof(t102_ring_3, axiom, k8_ring_3(k11_gaussint)=k11_gaussint).
fof(t103_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_ring_3(A, k5_numbers) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  => r1_ring_3(A, k11_gaussint)) ) ).
fof(t104_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_ring_3(A, k5_numbers) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (r1_ring_3(A, B) => r1_ring_3(B, k11_gaussint)) ) ) ) ) ).
fof(t105_ring_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_ring_3(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (v1_int_1(C) => k1_ring_3(B, k5_struct_0(B), C)=k1_ring_3(B, k5_struct_0(B), k5_int_1(C, A))) ) ) ) ) ) ).
fof(d12_ring_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  => k13_ring_3(A, B)=k2_partfun1(u1_struct_0(k1_int_3), u1_struct_0(B), k5_ring_3(B), u1_struct_0(k9_int_3(A)))) ) ) ) ).
fof(t106_ring_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_ring_2(B, k9_int_3(A)) &  (v3_ring_3(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k9_int_3(A)), u1_struct_0(B)) &  (v6_group_1(C, k9_int_3(A), B) &  (v13_vectsp_1(C, k9_int_3(A), B) &  (v1_group_6(C, k9_int_3(A), B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(B))))) ) ) ) )  => r2_funct_2(u1_struct_0(k9_int_3(A)), u1_struct_0(B), C, k13_ring_3(A, B))) ) ) ) ) ) ).
fof(t107_ring_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A))) &  (v6_group_1(B, k9_int_3(A), k9_int_3(A)) &  (v13_vectsp_1(B, k9_int_3(A), k9_int_3(A)) &  (v1_group_6(B, k9_int_3(A), k9_int_3(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)))))) ) ) ) )  => r2_funct_2(u1_struct_0(k9_int_3(A)), u1_struct_0(k9_int_3(A)), B, k3_struct_0(k9_int_3(A)))) ) ) ) ).
fof(t108_ring_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_ring_3(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) )  => r2_ring_3(k9_int_3(A), k8_ring_3(B))) ) ) ) ).
fof(t109_ring_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( (v36_algstr_0(B) & m1_ec_pf_1(B, k9_int_3(A)))  => B=k9_int_3(A)) ) ) ) ).
fof(t110_ring_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  => k8_ring_3(k9_int_3(A))=k9_int_3(A)) ) ).
fof(t111_ring_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_ring_3(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) )  => r1_ring_3(B, k9_int_3(A))) ) ) ) ).
fof(t112_ring_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_ring_3(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  ( ~ (v6_struct_0(C))  &  (v13_algstr_0(C) &  (v33_algstr_0(C) &  (v3_group_1(C) &  (v5_group_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) ) ) ) )  =>  (r1_ring_3(B, C) => r1_ring_3(C, k9_int_3(A))) ) ) ) ) ) ) ).
fof(t113_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (k3_ring_3(A)=k5_numbers <=> r2_ring_3(k8_ring_3(A), k11_gaussint)) ) ) ).
fof(t114_ring_3, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (k3_ring_3(B)=A <=> r2_ring_3(k8_ring_3(B), k9_int_3(A))) ) ) ) ) ).
fof(t115_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v36_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_ec_pf_1(A) <=>  ~ ( ( ~ (r2_ring_3(A, k11_gaussint))  &  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  ~ (r2_ring_3(A, k9_int_3(B))) ) ) ) ) ) ) ) ).
fof(symmetry_r2_ring_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (r2_ring_3(A, B) => r2_ring_3(B, A)) ) ) ).
fof(reflexivity_r2_ring_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  => r2_ring_3(A, A)) ) ).
fof(redefinition_r2_ring_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (r2_ring_3(A, B) <=> r2_quofield(A, B)) ) ) ).
fof(dt_k1_ring_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & v1_int_1(C)) )  => m1_subset_1(k1_ring_3(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k2_ring_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_ring_3(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v6_group_1(C, A, B) &  (v13_vectsp_1(C, A, B) &  (v7_mod_4(C, A, B) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) ) ) )  =>  (v1_funct_1(k2_ring_3(A, B, C)) &  (v1_funct_2(k2_ring_3(A, B, C), u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(k2_ring_3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) ) ) ).
fof(redefinition_k2_ring_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_ring_3(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v6_group_1(C, A, B) &  (v13_vectsp_1(C, A, B) &  (v7_mod_4(C, A, B) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) ) ) )  => k2_ring_3(A, B, C)=k2_funct_1(C)) ) ).
fof(dt_k3_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  => v7_ordinal1(k3_ring_3(A))) ) ).
fof(dt_k4_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  => m1_subset_1(k4_ring_3(A), k1_zfmisc_1(k4_ordinal1))) ) ).
fof(dt_k5_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (v1_funct_1(k5_ring_3(A)) &  (v1_funct_2(k5_ring_3(A), u1_struct_0(k1_int_3), u1_struct_0(A)) & m1_subset_1(k5_ring_3(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_int_3), u1_struct_0(A))))) ) ) ) ).
fof(dt_k6_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  => m1_subset_1(k6_ring_3(A), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k7_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (v36_algstr_0(k7_ring_3(A)) & l6_algstr_0(k7_ring_3(A))) ) ) ).
fof(dt_k8_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (v36_algstr_0(k8_ring_3(A)) & m1_ec_pf_1(k8_ring_3(A), A)) ) ) ).
fof(redefinition_k8_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  => k8_ring_3(A)=k7_ring_3(A)) ) ).
fof(dt_k9_ring_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k11_gaussint)) =>  (v2_xxreal_0(k9_ring_3(A)) & m1_subset_1(k9_ring_3(A), u1_struct_0(k1_int_3))) ) ) ).
fof(redefinition_k9_ring_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k11_gaussint)) => k9_ring_3(A)=k1_rat_1(A)) ) ).
fof(dt_k10_ring_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k11_gaussint)) => m1_subset_1(k10_ring_3(A), u1_struct_0(k1_int_3))) ) ).
fof(redefinition_k10_ring_3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k11_gaussint)) => k10_ring_3(A)=k2_rat_1(A)) ) ).
fof(dt_k11_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k11_ring_3(A)) &  (v1_funct_2(k11_ring_3(A), u1_struct_0(k11_gaussint), u1_struct_0(A)) & m1_subset_1(k11_ring_3(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k11_gaussint), u1_struct_0(A))))) ) ) ) ).
fof(dt_k12_ring_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_ring_2(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v6_group_1(C, A, B) &  (v13_vectsp_1(C, A, B) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) ) )  =>  (v36_algstr_0(k12_ring_3(A, B, C)) & m1_ec_pf_1(k12_ring_3(A, B, C), B)) ) ) ).
fof(redefinition_k12_ring_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_ring_2(B, A) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v6_group_1(C, A, B) &  (v13_vectsp_1(C, A, B) &  (v1_group_6(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) ) ) ) )  => k12_ring_3(A, B, C)=k4_ring_2(A, B, C)) ) ).
fof(dt_k13_ring_3, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) & v1_int_2(A))  &  ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k13_ring_3(A, B)) &  (v1_funct_2(k13_ring_3(A, B), u1_struct_0(k9_int_3(A)), u1_struct_0(B)) & m1_subset_1(k13_ring_3(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k9_int_3(A)), u1_struct_0(B))))) ) ) ) ).
fof(d7_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  => k4_ring_3(A)=a_1_0_ring_3(A)) ) ).
fof(d9_ring_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  => k6_ring_3(A)=a_1_1_ring_3(A)) ) ).
fof(fraenkel_a_1_0_ring_3, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (r2_hidden(A, a_1_0_ring_3(B)) <=>  (? [C] :  ( (v7_ordinal1(C) & v2_xxreal_0(C))  &  (A=C & k1_ring_3(B, k5_struct_0(B), C)=k4_struct_0(B)) ) ) ) ) ) ).
fof(fraenkel_a_1_1_ring_3, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (r2_hidden(A, a_1_1_ring_3(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(B)) &  (A=C &  (! [D] :  (m1_ec_pf_1(D, B) => r1_struct_0(D, C)) ) ) ) ) ) ) ) ).
fof(cc1_ring_4, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & v5_group_1(A)) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v34_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & v3_group_1(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(cc2_ring_4, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v34_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & v5_group_1(A)) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & v3_group_1(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(cc3_ring_4, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v30_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & v5_group_1(A)) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v31_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & v3_group_1(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(cc4_ring_4, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v31_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & v5_group_1(A)) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v30_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & v3_group_1(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (? [B] :  ( ~ (v1_xboole_0(B))  & v1_ring_4(B, A)) ) ) ) ).
fof(rc2_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (? [B] :  (l1_struct_0(B) &  ( ~ (v2_struct_0(B))  & v2_ring_4(B, A)) ) ) ) ) ).
fof(fc1_ring_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  &  ( ~ (v2_struct_0(B))  &  (v2_ring_4(B, A) & l1_struct_0(B)) ) )  => v1_ring_4(u1_struct_0(B), A)) ) ).
fof(fc2_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  ( ~ (v2_struct_0(k13_polynom3(A)))  &  (v36_algstr_0(k13_polynom3(A)) & v2_ring_4(k13_polynom3(A), A)) ) ) ) ).
fof(rc3_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v2_algstr_0(B, k13_polynom3(A)) &  (v3_algstr_0(B, k13_polynom3(A)) &  (v4_algstr_0(B, k13_polynom3(A)) &  (v9_algstr_0(B, k13_polynom3(A)) &  (v10_algstr_0(B, k13_polynom3(A)) &  (v11_algstr_0(B, k13_polynom3(A)) &  (v1_polynom1(B, A) &  ~ (v1_uproots(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc4_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) &  (v9_struct_0(B, k13_polynom3(A)) &  (v2_algstr_0(B, k13_polynom3(A)) &  (v3_algstr_0(B, k13_polynom3(A)) &  (v4_algstr_0(B, k13_polynom3(A)) &  (v9_algstr_0(B, k13_polynom3(A)) &  (v10_algstr_0(B, k13_polynom3(A)) & v11_algstr_0(B, k13_polynom3(A))) ) ) ) ) ) ) ) ) ) ).
fof(rc5_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  ~ (v1_uproots(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc6_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v2_algstr_0(B, k13_polynom3(A)) &  (v3_algstr_0(B, k13_polynom3(A)) &  (v4_algstr_0(B, k13_polynom3(A)) &  (v9_algstr_0(B, k13_polynom3(A)) &  (v10_algstr_0(B, k13_polynom3(A)) &  (v11_algstr_0(B, k13_polynom3(A)) &  (v1_polynom1(B, A) & v1_uproots(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc7_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) &  ( ~ (v9_struct_0(B, k13_polynom3(A)))  &  (v2_algstr_0(B, k13_polynom3(A)) &  (v3_algstr_0(B, k13_polynom3(A)) &  (v4_algstr_0(B, k13_polynom3(A)) &  (v9_algstr_0(B, k13_polynom3(A)) &  (v10_algstr_0(B, k13_polynom3(A)) & v11_algstr_0(B, k13_polynom3(A))) ) ) ) ) ) ) ) ) ) ).
fof(fc3_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  ( ~ (v2_struct_0(k13_polynom3(A)))  &  (v36_algstr_0(k13_polynom3(A)) & v4_vectsp_1(k13_polynom3(A))) ) ) ) ).
fof(rc8_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) &  ( ~ (v9_struct_0(B, k13_polynom3(A)))  &  (v2_algstr_0(B, k13_polynom3(A)) &  (v3_algstr_0(B, k13_polynom3(A)) &  (v4_algstr_0(B, k13_polynom3(A)) &  (v9_algstr_0(B, k13_polynom3(A)) &  (v10_algstr_0(B, k13_polynom3(A)) &  (v11_algstr_0(B, k13_polynom3(A)) & v3_ring_4(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc9_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v2_algstr_0(B, k13_polynom3(A)) &  (v3_algstr_0(B, k13_polynom3(A)) &  (v4_algstr_0(B, k13_polynom3(A)) &  (v9_algstr_0(B, k13_polynom3(A)) &  (v10_algstr_0(B, k13_polynom3(A)) &  (v11_algstr_0(B, k13_polynom3(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & v3_ring_4(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc10_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) &  (v2_algstr_0(B, k13_polynom3(A)) &  (v3_algstr_0(B, k13_polynom3(A)) &  (v4_algstr_0(B, k13_polynom3(A)) &  (v9_algstr_0(B, k13_polynom3(A)) &  (v10_algstr_0(B, k13_polynom3(A)) &  (v11_algstr_0(B, k13_polynom3(A)) &  ~ (v3_ring_4(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc11_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v2_algstr_0(B, k13_polynom3(A)) &  (v3_algstr_0(B, k13_polynom3(A)) &  (v4_algstr_0(B, k13_polynom3(A)) &  (v9_algstr_0(B, k13_polynom3(A)) &  (v10_algstr_0(B, k13_polynom3(A)) &  (v11_algstr_0(B, k13_polynom3(A)) &  (v1_polynom1(B, A) &  ~ (v3_ring_4(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc4_ring_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k2_ring_4(A, B)) &  (v1_funct_2(k2_ring_4(A, B), k4_ordinal1, u1_struct_0(A)) & v1_polynom1(k2_ring_4(A, B), A)) ) ) ) ).
fof(fc5_ring_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k2_ring_4(A, B)) &  (v1_funct_2(k2_ring_4(A, B), k4_ordinal1, u1_struct_0(A)) & v1_ratfunc1(k2_ring_4(A, B), A)) ) ) ) ).
fof(fc6_ring_4, axiom,  (! [A, B] :  ( ( ( ~ (v7_struct_0(A))  & l2_struct_0(A))  &  ( ~ (v9_struct_0(B, A))  & m1_subset_1(B, u1_struct_0(A))) )  =>  (v1_funct_1(k2_ring_4(A, B)) &  (v1_funct_2(k2_ring_4(A, B), k4_ordinal1, u1_struct_0(A)) & v1_uproots(k2_ring_4(A, B), A)) ) ) ) ).
fof(rc12_ring_4, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l2_struct_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & v1_ratfunc1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc7_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (v1_funct_1(k2_ring_4(A, k4_struct_0(A))) &  (v1_funct_2(k2_ring_4(A, k4_struct_0(A)), k4_ordinal1, u1_struct_0(A)) &  ~ (v1_uproots(k2_ring_4(A, k4_struct_0(A)), A)) ) ) ) ) ).
fof(fc8_ring_4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  & l5_algstr_0(A))  =>  (v1_funct_1(k2_ring_4(A, k5_struct_0(A))) &  (v1_funct_2(k2_ring_4(A, k5_struct_0(A)), k4_ordinal1, u1_struct_0(A)) & v1_uproots(k2_ring_4(A, k5_struct_0(A)), A)) ) ) ) ).
fof(fc9_ring_4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  & l6_algstr_0(A))  =>  (v1_funct_1(k10_polynom3(A)) &  (v1_funct_2(k10_polynom3(A), k4_ordinal1, u1_struct_0(A)) & v2_ratfunc1(k10_polynom3(A), A)) ) ) ) ).
fof(fc10_ring_4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  & l6_algstr_0(A))  =>  (v1_funct_1(k9_polynom3(A)) &  (v1_funct_2(k9_polynom3(A), k4_ordinal1, u1_struct_0(A)) &  ~ (v2_ratfunc1(k9_polynom3(A), A)) ) ) ) ) ).
fof(rc13_ring_4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  & l6_algstr_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & v2_ratfunc1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc14_ring_4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  & l6_algstr_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  ~ (v2_ratfunc1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc15_ring_4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v2_algstr_0(B, k13_polynom3(A)) &  (v3_algstr_0(B, k13_polynom3(A)) &  (v4_algstr_0(B, k13_polynom3(A)) &  (v10_algstr_0(B, k13_polynom3(A)) &  (v1_polynom1(B, A) & v2_ratfunc1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc16_ring_4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v2_algstr_0(B, k13_polynom3(A)) &  (v3_algstr_0(B, k13_polynom3(A)) &  (v4_algstr_0(B, k13_polynom3(A)) &  (v10_algstr_0(B, k13_polynom3(A)) &  (v1_polynom1(B, A) &  ~ (v2_ratfunc1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc11_ring_4, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v4_vectsp_1(A) & l6_algstr_0(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k3_hurwitz(A, B, 1)) &  (v1_funct_2(k3_hurwitz(A, B, 1), k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(k3_hurwitz(A, B, 1), A) & v2_ratfunc1(k3_hurwitz(A, B, 1), A)) ) ) ) ) ).
fof(fc12_ring_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k8_polynom5(A, B)) &  (v1_funct_2(k8_polynom5(A, B), k4_ordinal1, u1_struct_0(A)) & v2_ratfunc1(k8_polynom5(A, B), A)) ) ) ) ).
fof(fc13_ring_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (v1_uproots(B, A) & m1_subset_1(B, u1_struct_0(k13_polynom3(A)))) )  =>  (v1_funct_1(k8_polynom5(A, B)) &  (v1_funct_2(k8_polynom5(A, B), k4_ordinal1, u1_struct_0(A)) & v2_ratfunc1(k8_polynom5(A, B), A)) ) ) ) ).
fof(fc14_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (v1_funct_1(k4_ring_4(A)) &  (v1_funct_2(k4_ring_4(A), u1_struct_0(A), u1_struct_0(k13_polynom3(A))) &  (v13_vectsp_1(k4_ring_4(A), A, k13_polynom3(A)) &  (v6_group_1(k4_ring_4(A), A, k13_polynom3(A)) & v1_group_6(k4_ring_4(A), A, k13_polynom3(A))) ) ) ) ) ) ).
fof(fc15_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (v1_funct_1(k4_ring_4(A)) &  (v1_funct_2(k4_ring_4(A), u1_struct_0(A), u1_struct_0(k13_polynom3(A))) & v3_mod_4(k4_ring_4(A), A, k13_polynom3(A))) ) ) ) ).
fof(fc16_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k13_polynom3(A)))  &  (v36_algstr_0(k13_polynom3(A)) &  (v3_ring_2(k13_polynom3(A), A) & v1_ring_3(k13_polynom3(A), A)) ) ) ) ) ).
fof(fc17_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k13_polynom3(A)))  &  ( ~ (v8_struct_0(k13_polynom3(A)))  & v36_algstr_0(k13_polynom3(A))) ) ) ) ).
fof(cc5_ring_4, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & v3_ring_3(A, k5_numbers)) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  ( ~ (v8_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & v3_ring_3(A, k5_numbers)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc18_ring_4, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  ( ~ (v2_struct_0(k13_polynom3(k9_int_3(A))))  &  ( ~ (v8_struct_0(k13_polynom3(k9_int_3(A))))  & v36_algstr_0(k13_polynom3(k9_int_3(A)))) ) ) ) ).
fof(rc17_ring_4, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  (? [B] :  (l6_algstr_0(B) &  ( ~ (v2_struct_0(B))  &  ( ~ (v8_struct_0(B))  &  (v5_algstr_0(B) &  (v6_algstr_0(B) &  (v7_algstr_0(B) &  (v12_algstr_0(B) &  (v13_algstr_0(B) &  (v14_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v9_rlvect_1(B) &  (v1_vectsp_1(B) &  (v2_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v6_vectsp_1(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v1_algstr_1(B) &  (v2_algstr_1(B) &  (v3_algstr_1(B) &  (v4_algstr_1(B) &  (v3_ring_2(B, k1_int_3) &  (v3_ring_2(B, k1_int_3) & v3_ring_3(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc18_ring_4, axiom,  (? [A] :  (l6_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v5_algstr_0(A) &  (v6_algstr_0(A) &  (v7_algstr_0(A) &  (v12_algstr_0(A) &  (v13_algstr_0(A) &  (v14_algstr_0(A) &  (v30_algstr_0(A) &  (v31_algstr_0(A) &  (v32_algstr_0(A) &  ( ~ (v33_algstr_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v9_rlvect_1(A) &  (v1_vectsp_1(A) &  (v2_vectsp_1(A) &  (v3_vectsp_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v6_vectsp_1(A) &  (v1_group_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) &  (v1_algstr_1(A) &  (v2_algstr_1(A) &  (v3_algstr_1(A) &  (v4_algstr_1(A) & v3_ring_2(A, k1_int_3)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc19_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  ( ~ (v33_algstr_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  ( ~ (v9_struct_0(B, A))  &  (v2_algstr_0(B, A) &  (v3_algstr_0(B, A) &  (v4_algstr_0(B, A) &  (v9_algstr_0(B, A) &  (v10_algstr_0(B, A) &  (v11_algstr_0(B, A) &  ~ (v1_gcd_1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc19_ring_4, axiom,  ~ (v33_algstr_0(k1_int_3)) ).
fof(fc20_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k13_polynom3(A)))  &  ( ~ (v33_algstr_0(k13_polynom3(A)))  & v36_algstr_0(k13_polynom3(A))) ) ) ) ).
fof(cc6_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) =>  ( ~ (v3_ring_4(B, A))  =>  ( ~ (v9_struct_0(B, k13_polynom3(A)))  &  ~ (v1_gcd_1(B, k13_polynom3(A))) ) ) ) ) ) ) ).
fof(cc7_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) =>  ( ~ (v3_ring_4(B, A))  =>  (v1_uproots(B, A) &  ~ (v1_gcd_1(B, k13_polynom3(A))) ) ) ) ) ) ) ).
fof(cc8_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) =>  ( ( ~ (v9_struct_0(B, k13_polynom3(A)))  & v3_ring_4(B, A))  => v1_gcd_1(B, k13_polynom3(A))) ) ) ) ) ).
fof(cc9_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) =>  (v1_gcd_1(B, k13_polynom3(A)) =>  ( ~ (v9_struct_0(B, k13_polynom3(A)))  & v3_ring_4(B, A)) ) ) ) ) ) ).
fof(cc10_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) =>  ( (v1_uproots(B, A) & v3_ring_4(B, A))  => v1_gcd_1(B, k13_polynom3(A))) ) ) ) ) ).
fof(cc11_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) =>  (v1_gcd_1(B, k13_polynom3(A)) =>  (v1_uproots(B, A) & v3_ring_4(B, A)) ) ) ) ) ) ).
fof(rc20_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) &  (v2_algstr_0(B, k13_polynom3(A)) &  (v3_algstr_0(B, k13_polynom3(A)) &  (v4_algstr_0(B, k13_polynom3(A)) &  (v9_algstr_0(B, k13_polynom3(A)) &  (v10_algstr_0(B, k13_polynom3(A)) &  (v11_algstr_0(B, k13_polynom3(A)) & v5_ring_2(B, k13_polynom3(A))) ) ) ) ) ) ) ) ) ) ).
fof(rc21_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v2_algstr_0(B, k13_polynom3(A)) &  (v3_algstr_0(B, k13_polynom3(A)) &  (v4_algstr_0(B, k13_polynom3(A)) &  (v9_algstr_0(B, k13_polynom3(A)) &  (v10_algstr_0(B, k13_polynom3(A)) &  (v11_algstr_0(B, k13_polynom3(A)) &  (v1_polynom1(B, A) & v5_ring_2(B, k13_polynom3(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc22_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) &  (v2_algstr_0(B, k13_polynom3(A)) &  (v3_algstr_0(B, k13_polynom3(A)) &  (v4_algstr_0(B, k13_polynom3(A)) &  (v9_algstr_0(B, k13_polynom3(A)) &  (v10_algstr_0(B, k13_polynom3(A)) &  (v11_algstr_0(B, k13_polynom3(A)) &  ~ (v5_ring_2(B, k13_polynom3(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(rc23_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, k4_ordinal1) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v2_algstr_0(B, k13_polynom3(A)) &  (v3_algstr_0(B, k13_polynom3(A)) &  (v4_algstr_0(B, k13_polynom3(A)) &  (v9_algstr_0(B, k13_polynom3(A)) &  (v10_algstr_0(B, k13_polynom3(A)) &  (v11_algstr_0(B, k13_polynom3(A)) &  (v1_polynom1(B, A) &  ~ (v5_ring_2(B, k13_polynom3(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc21_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  ~ (v1_xboole_0(k7_ring_2(k13_polynom3(A)))) ) ) ).
fof(cc12_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) =>  (v3_ring_4(B, A) =>  ~ (v5_ring_2(B, k13_polynom3(A))) ) ) ) ) ) ).
fof(cc13_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) =>  (v3_ring_4(B, A) =>  ~ (v5_ring_2(B, k13_polynom3(A))) ) ) ) ) ) ).
fof(cc14_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) =>  (v5_ring_2(B, k13_polynom3(A)) =>  ~ (v3_ring_4(B, A)) ) ) ) ) ) ).
fof(cc15_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) =>  (v5_ring_2(B, k13_polynom3(A)) =>  ~ (v3_ring_4(B, A)) ) ) ) ) ) ).
fof(fc22_ring_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(k13_polynom3(A))))  =>  (v13_algstr_0(k2_ring_1(k13_polynom3(A), k7_ideal_1(k13_polynom3(A), k1_ring_4(k13_polynom3(A), B)))) &  (v36_algstr_0(k2_ring_1(k13_polynom3(A), k7_ideal_1(k13_polynom3(A), k1_ring_4(k13_polynom3(A), B)))) &  (v2_rlvect_1(k2_ring_1(k13_polynom3(A), k7_ideal_1(k13_polynom3(A), k1_ring_4(k13_polynom3(A), B)))) &  (v3_rlvect_1(k2_ring_1(k13_polynom3(A), k7_ideal_1(k13_polynom3(A), k1_ring_4(k13_polynom3(A), B)))) &  (v4_rlvect_1(k2_ring_1(k13_polynom3(A), k7_ideal_1(k13_polynom3(A), k1_ring_4(k13_polynom3(A), B)))) &  (v4_vectsp_1(k2_ring_1(k13_polynom3(A), k7_ideal_1(k13_polynom3(A), k1_ring_4(k13_polynom3(A), B)))) &  (v5_vectsp_1(k2_ring_1(k13_polynom3(A), k7_ideal_1(k13_polynom3(A), k1_ring_4(k13_polynom3(A), B)))) &  (v3_group_1(k2_ring_1(k13_polynom3(A), k7_ideal_1(k13_polynom3(A), k1_ring_4(k13_polynom3(A), B)))) & v5_group_1(k2_ring_1(k13_polynom3(A), k7_ideal_1(k13_polynom3(A), k1_ring_4(k13_polynom3(A), B))))) ) ) ) ) ) ) ) ) ) ).
fof(fc23_ring_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (v5_ring_2(B, k13_polynom3(A)) & m1_subset_1(B, u1_struct_0(k13_polynom3(A)))) )  =>  ( ~ (v6_struct_0(k2_ring_1(k13_polynom3(A), k7_ideal_1(k13_polynom3(A), k1_ring_4(k13_polynom3(A), B)))))  &  (v33_algstr_0(k2_ring_1(k13_polynom3(A), k7_ideal_1(k13_polynom3(A), k1_ring_4(k13_polynom3(A), B)))) & v36_algstr_0(k2_ring_1(k13_polynom3(A), k7_ideal_1(k13_polynom3(A), k1_ring_4(k13_polynom3(A), B))))) ) ) ) ).
fof(fc24_ring_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v3_ring_4(B, A))  & m1_subset_1(B, u1_struct_0(k13_polynom3(A)))) )  =>  ( ~ (v6_struct_0(k6_ring_4(A, B)))  & v36_algstr_0(k6_ring_4(A, B))) ) ) ).
fof(fc25_ring_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v3_ring_4(B, A))  & m1_subset_1(B, u1_struct_0(k13_polynom3(A)))) )  =>  (v13_algstr_0(k6_ring_4(A, B)) &  (v36_algstr_0(k6_ring_4(A, B)) &  (v2_rlvect_1(k6_ring_4(A, B)) &  (v3_rlvect_1(k6_ring_4(A, B)) & v4_rlvect_1(k6_ring_4(A, B))) ) ) ) ) ) ).
fof(fc26_ring_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v3_ring_4(B, A))  & m1_subset_1(B, u1_struct_0(k13_polynom3(A)))) )  =>  (v36_algstr_0(k6_ring_4(A, B)) &  (v4_vectsp_1(k6_ring_4(A, B)) &  (v5_vectsp_1(k6_ring_4(A, B)) & v3_group_1(k6_ring_4(A, B))) ) ) ) ) ).
fof(fc27_ring_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v3_ring_4(B, A))  & m1_subset_1(B, u1_struct_0(k13_polynom3(A)))) )  =>  (v1_funct_1(k7_ring_4(A, B)) &  (v1_funct_2(k7_ring_4(A, B), u1_struct_0(k13_polynom3(A)), u1_struct_0(k6_ring_4(A, B))) &  (v13_vectsp_1(k7_ring_4(A, B), k13_polynom3(A), k6_ring_4(A, B)) &  (v6_group_1(k7_ring_4(A, B), k13_polynom3(A), k6_ring_4(A, B)) & v1_group_6(k7_ring_4(A, B), k13_polynom3(A), k6_ring_4(A, B))) ) ) ) ) ) ).
fof(fc28_ring_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v3_ring_4(B, A))  & m1_subset_1(B, u1_struct_0(k13_polynom3(A)))) )  =>  (v36_algstr_0(k6_ring_4(A, B)) & v3_ring_2(k6_ring_4(A, B), k13_polynom3(A))) ) ) ).
fof(fc29_ring_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v3_ring_4(B, A))  & m1_subset_1(B, u1_struct_0(k13_polynom3(A)))) )  =>  (v1_funct_1(k7_ring_4(A, B)) &  (v1_funct_2(k7_ring_4(A, B), u1_struct_0(k13_polynom3(A)), u1_struct_0(k6_ring_4(A, B))) & v2_funct_2(k7_ring_4(A, B), u1_struct_0(k6_ring_4(A, B)))) ) ) ) ).
fof(fc30_ring_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v3_ring_4(B, A))  & m1_subset_1(B, u1_struct_0(k13_polynom3(A)))) )  =>  (v36_algstr_0(k6_ring_4(A, B)) & v5_group_1(k6_ring_4(A, B))) ) ) ).
fof(fc31_ring_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (v5_ring_2(B, k13_polynom3(A)) & m1_subset_1(B, u1_struct_0(k13_polynom3(A)))) )  =>  (v33_algstr_0(k6_ring_4(A, B)) & v36_algstr_0(k6_ring_4(A, B))) ) ) ).
fof(rc24_ring_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) &  (v3_gcd_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (v2_algstr_0(D, A) &  (v3_algstr_0(D, A) &  (v4_algstr_0(D, A) &  (v9_algstr_0(D, A) &  (v10_algstr_0(D, A) &  (v11_algstr_0(D, A) & v4_ring_4(D, A, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(cc16_ring_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) &  (v3_gcd_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (v4_ring_4(D, A, B, C) => v4_ring_4(D, A, C, B)) ) ) ) ) ).
fof(fc32_ring_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) & m1_subset_1(C, u1_struct_0(k13_polynom3(A)))) )  => v4_ring_4(k8_ring_4(A, B, C), k13_polynom3(A), B, C)) ) ).
fof(fc33_ring_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) & m1_subset_1(C, u1_struct_0(k13_polynom3(A)))) )  => v4_ring_4(k8_ring_4(A, B, C), k13_polynom3(A), B, C)) ) ).
fof(fc34_ring_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) &  (v1_uproots(C, A) & m1_subset_1(C, u1_struct_0(k13_polynom3(A)))) ) )  =>  (v1_uproots(k8_ring_4(A, B, C), A) & v2_ratfunc1(k8_ring_4(A, B, C), A)) ) ) ).
fof(fc35_ring_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) &  ( ~ (v9_struct_0(C, k13_polynom3(A)))  & m1_subset_1(C, u1_struct_0(k13_polynom3(A)))) ) )  =>  (v1_uproots(k8_ring_4(A, B, C), A) & v2_ratfunc1(k8_ring_4(A, B, C), A)) ) ) ).
fof(fc36_ring_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v1_uproots(B, A))  & m1_subset_1(B, u1_struct_0(k13_polynom3(A))))  &  ( ~ (v1_uproots(C, A))  & m1_subset_1(C, u1_struct_0(k13_polynom3(A)))) ) )  =>  ~ (v1_uproots(k8_ring_4(A, B, C), A)) ) ) ).
fof(fc37_ring_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( (v9_struct_0(B, k13_polynom3(A)) & m1_subset_1(B, u1_struct_0(k13_polynom3(A))))  &  (v9_struct_0(C, k13_polynom3(A)) & m1_subset_1(C, u1_struct_0(k13_polynom3(A)))) ) )  =>  ~ (v1_uproots(k8_ring_4(A, B, C), A)) ) ) ).
fof(fc38_ring_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) &  (v1_uproots(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ) )  =>  (v1_funct_1(k11_ring_4(A, B, C)) &  (v1_funct_2(k11_ring_4(A, B, C), k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(k11_ring_4(A, B, C), A) &  (v1_uproots(k11_ring_4(A, B, C), A) & v2_ratfunc1(k11_ring_4(A, B, C), A)) ) ) ) ) ) ).
fof(fc39_ring_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  ( ~ (v1_uproots(B, A))  & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) &  ( ~ (v1_uproots(C, A))  & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ) )  =>  (v1_funct_1(k11_ring_4(A, B, C)) &  (v1_funct_2(k11_ring_4(A, B, C), k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(k11_ring_4(A, B, C), A) &  ~ (v1_uproots(k11_ring_4(A, B, C), A)) ) ) ) ) ) ).
fof(d1_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  (v1_ring_4(B, A) <=>  (! [C] :  (r2_hidden(C, B) =>  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ) ) ) ) ) ).
fof(d2_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  (l1_struct_0(B) =>  (v2_ring_4(B, A) <=> v1_ring_4(u1_struct_0(B), A)) ) ) ) ) ).
fof(d3_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (r1_ring_4(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(k13_polynom3(A))) &  (? [E] :  (m1_subset_1(E, u1_struct_0(k13_polynom3(A))) &  (D=B &  (E=C & r1_gcd_1(k13_polynom3(A), D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (r1_ring_4(A, B, C) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  & r2_funct_2(k4_ordinal1, u1_struct_0(A), k11_polynom3(A, B, D), C)) ) ) ) ) ) ) ) ) ).
fof(t2_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ( ~ (r1_xxreal_0(k2_hurwitz(A, C), k2_hurwitz(A, B)))  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k6_hurwitz(A, B, C), B)) ) ) ) ) ) ) ).
fof(t3_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (r2_funct_2(k4_ordinal1, u1_struct_0(A), k6_hurwitz(A, B, C), k9_polynom3(A)) <=> r1_ring_4(A, C, B)) ) ) ) ) ) ) ).
fof(t4_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), B, k8_polynom3(A, k12_polynom3(A, k5_hurwitz(A, B, C), C), k6_hurwitz(A, B, C)))) ) ) ) ) ) ).
fof(t5_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(D, A) &  (v1_uproots(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (r2_funct_2(k4_ordinal1, u1_struct_0(A), k5_hurwitz(A, k8_polynom3(A, B, C), D), k8_polynom3(A, k5_hurwitz(A, B, D), k5_hurwitz(A, C, D))) & r2_funct_2(k4_ordinal1, u1_struct_0(A), k6_hurwitz(A, k8_polynom3(A, B, C), D), k8_polynom3(A, k6_hurwitz(A, B, D), k6_hurwitz(A, C, D)))) ) ) ) ) ) ) ) ) ).
fof(t6_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(D, A) &  (v1_uproots(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k6_hurwitz(A, k12_polynom3(A, B, C), D), k6_hurwitz(A, k12_polynom3(A, k6_hurwitz(A, B, D), k6_hurwitz(A, C, D)), D))) ) ) ) ) ) ) ) ).
fof(t7_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(E, A) &  (v1_uproots(E, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k6_hurwitz(A, k12_polynom3(A, k6_hurwitz(A, k12_polynom3(A, B, C), E), D), E), k6_hurwitz(A, k12_polynom3(A, k12_polynom3(A, B, C), D), E))) ) ) ) ) ) ) ) ) ) ).
fof(t8_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k4_polynom5(A, B, k4_struct_0(A)), k9_polynom3(A))) ) ) ) ).
fof(t9_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_vectsp_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k4_polynom5(A, B, k5_struct_0(A)), B)) ) ) ) ).
fof(t10_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k4_polynom5(A, k11_polynom3(A, B, C), D), k11_polynom3(A, B, k4_polynom5(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t11_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_group_1(A) & l3_algstr_0(A)) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k4_polynom5(A, B, k6_algstr_0(A, C, D)), k4_polynom5(A, k4_polynom5(A, B, D), C))) ) ) ) ) ) ) ) ).
fof(t12_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v2_vectsp_1(A) &  (v6_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k11_polynom3(A, k10_polynom3(A), B), B)) ) ) ) ).
fof(d4_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_ring_4(B, A, u1_struct_0(k13_polynom3(A))) =>  (v3_ring_4(B, A) <=> r1_xxreal_0(k2_hurwitz(A, B), k5_numbers)) ) ) ) ) ).
fof(d5_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_ring_4(A, B)=k14_funct_7(k4_ordinal1, u1_struct_0(A), k9_polynom3(A), k5_numbers, B)) ) ) ) ).
fof(t13_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k2_ring_4(A, k4_struct_0(A)), k9_polynom3(A))) ) ).
fof(t14_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l5_algstr_0(A))  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k2_ring_4(A, k5_struct_0(A)), k10_polynom3(A))) ) ).
fof(t15_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_ring_4(B, A, u1_struct_0(k13_polynom3(A))) =>  ( (v1_uproots(B, A) & v3_ring_4(B, A))  <=> k2_hurwitz(A, B)=k5_numbers) ) ) ) ) ).
fof(t16_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k2_ring_4(A, B), k4_polynom5(A, k10_polynom3(A), B))) ) ) ) ).
fof(t17_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k8_polynom3(A, k2_ring_4(A, B), k2_ring_4(A, C)), k2_ring_4(A, k3_rlvect_1(A, B, C)))) ) ) ) ) ) ).
fof(t18_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_funct_2(k4_ordinal1, u1_struct_0(A), k11_polynom3(A, k2_ring_4(A, B), k2_ring_4(A, C)), k2_ring_4(A, k6_algstr_0(A, B, C)))) ) ) ) ) ) ).
fof(t19_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_funct_2(k4_ordinal1, u1_struct_0(A), k2_ring_4(A, B), k2_ring_4(A, C)) <=> B=C) ) ) ) ) ) ) ).
fof(t20_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ring_4(B, A, u1_struct_0(k13_polynom3(A))) =>  (v3_ring_4(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & r2_funct_2(k4_ordinal1, u1_struct_0(A), B, k2_ring_4(A, C))) ) ) ) ) ) ) ).
fof(t21_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k2_hurwitz(A, k2_ring_4(A, B))=k5_numbers <=>  ~ (B=k4_struct_0(A)) ) ) ) ) ) ).
fof(t22_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k8_polynom5(A, k9_polynom3(A)), k9_polynom3(A))) ) ).
fof(t23_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_uproots(B, A) & m1_ring_4(B, A, u1_struct_0(k13_polynom3(A))))  => r2_funct_2(k4_ordinal1, u1_struct_0(A), k3_ring_4(A, B), k4_polynom5(A, B, k9_algstr_0(A, k2_ratfunc1(A, B))))) ) ) ) ).
fof(t24_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_uproots(B, A) & m1_ring_4(B, A, u1_struct_0(k13_polynom3(A))))  =>  (v2_ratfunc1(B, A) <=> r2_funct_2(k4_ordinal1, u1_struct_0(A), k3_ring_4(A, B), B)) ) ) ) ) ).
fof(t25_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ring_4(B, A, u1_struct_0(k13_polynom3(A))) =>  (! [C] :  (m1_ring_4(C, A, u1_struct_0(k13_polynom3(A))) =>  (r1_ring_4(A, C, B) <=> r1_ring_4(A, k3_ring_4(A, C), B)) ) ) ) ) ) ) ).
fof(t26_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ring_4(B, A, u1_struct_0(k13_polynom3(A))) =>  (! [C] :  (m1_ring_4(C, A, u1_struct_0(k13_polynom3(A))) =>  (r1_ring_4(A, C, B) <=> r1_ring_4(A, C, k3_ring_4(A, B))) ) ) ) ) ) ) ).
fof(t27_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ring_4(B, A, u1_struct_0(k13_polynom3(A))) => r4_gcd_1(k13_polynom3(A), k3_ring_4(A, B), B)) ) ) ) ).
fof(t28_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ring_4(B, A, u1_struct_0(k13_polynom3(A))) =>  (v5_ring_2(k3_ring_4(A, B), k13_polynom3(A)) <=> v5_ring_2(B, k13_polynom3(A))) ) ) ) ) ).
fof(t29_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ring_4(B, A, u1_struct_0(k13_polynom3(A))) =>  (! [C] :  (m1_ring_4(C, A, u1_struct_0(k13_polynom3(A))) =>  (r4_gcd_1(k13_polynom3(A), B, C) => k2_hurwitz(A, B)=k2_hurwitz(A, C)) ) ) ) ) ) ) ).
fof(t30_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v2_ratfunc1(B, A) & m1_ring_4(B, A, u1_struct_0(k13_polynom3(A))))  =>  (! [C] :  ( (v2_ratfunc1(C, A) & m1_ring_4(C, A, u1_struct_0(k13_polynom3(A))))  =>  (r4_gcd_1(k13_polynom3(A), B, C) <=> r2_funct_2(k4_ordinal1, u1_struct_0(A), B, C)) ) ) ) ) ) ) ).
fof(d6_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(k13_polynom3(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k13_polynom3(A)))))) )  =>  (B=k4_ring_4(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(k13_polynom3(A)), B, C)=k2_ring_4(A, C)) ) ) ) ) ) ) ).
fof(t31_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  => k3_ring_3(k13_polynom3(A))=k3_ring_3(A)) ) ).
fof(t32_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  ~ ( (k3_ring_3(A)=k5_numbers & v8_struct_0(A)) ) ) ) ).
fof(t33_ring_4, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  ~ (k3_ring_3(k13_polynom3(k9_int_3(A)))=k5_numbers) ) ) ).
fof(t34_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  <=>  (! [B] :  ( ( ~ (v1_gcd_1(B, A))  & m1_subset_1(B, u1_struct_0(A)))  => B=k4_struct_0(A)) ) ) ) ) ).
fof(t35_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (v1_gcd_1(k2_ring_4(A, B), k13_polynom3(A)) & m1_subset_1(k2_ring_4(A, B), u1_struct_0(k13_polynom3(A))))  <=>  (v1_gcd_1(B, A) & m1_subset_1(B, u1_struct_0(A))) ) ) ) ) ) ).
fof(t36_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ring_4(B, A, u1_struct_0(k13_polynom3(A))) =>  ( (v1_gcd_1(B, k13_polynom3(A)) & m1_subset_1(B, u1_struct_0(k13_polynom3(A))))  => k2_hurwitz(A, B)=k5_numbers) ) ) ) ) ).
fof(t37_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ring_4(B, A, u1_struct_0(k13_polynom3(A))) =>  ( (v1_gcd_1(B, k13_polynom3(A)) & m1_subset_1(B, u1_struct_0(k13_polynom3(A))))  <=> k2_hurwitz(A, B)=k5_numbers) ) ) ) ) ).
fof(t38_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ring_4(B, A, u1_struct_0(k13_polynom3(A))) =>  ( (v1_gcd_1(B, k13_polynom3(A)) & m1_subset_1(B, u1_struct_0(k13_polynom3(A))))  =>  (v1_uproots(B, A) & v3_ring_4(B, A)) ) ) ) ) ) ).
fof(t39_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ring_4(B, A, u1_struct_0(k13_polynom3(A))) =>  ( (v1_gcd_1(B, k13_polynom3(A)) & m1_subset_1(B, u1_struct_0(k13_polynom3(A))))  <=>  (v1_uproots(B, A) & v3_ring_4(B, A)) ) ) ) ) ) ).
fof(t40_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ring_4(B, A, u1_struct_0(k13_polynom3(A))) =>  ~ ( ( (? [C] :  (m1_ring_4(C, A, u1_struct_0(k13_polynom3(A))) &  (r1_ring_4(A, C, B) &  (r1_xxreal_0(1, k2_hurwitz(A, C)) &  ~ (r1_xxreal_0(k2_hurwitz(A, B), k2_hurwitz(A, C))) ) ) ) )  & v5_ring_2(B, k13_polynom3(A))) ) ) ) ) ) ).
fof(t41_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ring_4(B, A, u1_struct_0(k13_polynom3(A))) =>  ( ~ ( ( ~ (v5_ring_2(B, k13_polynom3(A)))  &  ( ~ (r2_funct_2(k4_ordinal1, u1_struct_0(A), B, k9_polynom3(A)))  &  ( ~ ( (v1_gcd_1(B, k13_polynom3(A)) & m1_subset_1(B, u1_struct_0(k13_polynom3(A)))) )  &  (! [C] :  (m1_ring_4(C, A, u1_struct_0(k13_polynom3(A))) =>  ~ ( (r1_ring_4(A, C, B) &  (r1_xxreal_0(1, k2_hurwitz(A, C)) &  ~ (r1_xxreal_0(k2_hurwitz(A, B), k2_hurwitz(A, C))) ) ) ) ) ) ) ) ) )  &  ~ ( ( ~ ( ( ~ (r2_funct_2(k4_ordinal1, u1_struct_0(A), B, k9_polynom3(A)))  &  ( ~ ( (v1_gcd_1(B, k13_polynom3(A)) & m1_subset_1(B, u1_struct_0(k13_polynom3(A)))) )  &  (! [C] :  (m1_ring_4(C, A, u1_struct_0(k13_polynom3(A))) =>  ~ ( (r1_ring_4(A, C, B) &  (r1_xxreal_0(1, k2_hurwitz(A, C)) &  ~ (r1_xxreal_0(k2_hurwitz(A, B), k2_hurwitz(A, C))) ) ) ) ) ) ) ) )  & v5_ring_2(B, k13_polynom3(A))) ) ) ) ) ) ) ).
fof(t42_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v2_ratfunc1(B, A) & m1_ring_4(B, A, u1_struct_0(k13_polynom3(A))))  =>  (k2_hurwitz(A, B)=1 => v5_ring_2(B, k13_polynom3(A))) ) ) ) ) ).
fof(t43_ring_4, axiom,  (? [A] :  ( ( ~ (v2_ratfunc1(A, k1_int_3))  & m1_ring_4(A, k1_int_3, u1_struct_0(k13_polynom3(k1_int_3))))  &  (k2_hurwitz(k1_int_3, A)=1 &  ~ (v5_ring_2(A, k13_polynom3(k1_int_3))) ) ) ) ).
fof(t44_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ring_4(B, A, u1_struct_0(k13_polynom3(A))) =>  (k2_hurwitz(A, B)=1 => v5_ring_2(B, k13_polynom3(A))) ) ) ) ) ).
fof(t45_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_polynom5(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ring_4(B, A, u1_struct_0(k13_polynom3(A))) =>  (v5_ring_2(B, k13_polynom3(A)) <=> k2_hurwitz(A, B)=1) ) ) ) ) ).
fof(t46_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (v2_polynom5(A) <=>  (! [B] :  ( (v2_ratfunc1(B, A) & m1_ring_4(B, A, u1_struct_0(k13_polynom3(A))))  =>  (v5_ring_2(B, k13_polynom3(A)) <=> k2_hurwitz(A, B)=1) ) ) ) ) ) ).
fof(d7_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(u1_struct_0(k13_polynom3(A)), u1_struct_0(k13_polynom3(A))), u1_struct_0(k13_polynom3(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k13_polynom3(A)), u1_struct_0(k13_polynom3(A))), u1_struct_0(k13_polynom3(A)))))) )  =>  (C=k5_ring_4(A, B) <=>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(E, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => k1_binop_1(C, D, E)=k6_hurwitz(A, k12_polynom3(A, D, E), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v3_ring_4(B, A))  & m1_ring_4(B, A, u1_struct_0(k13_polynom3(A))))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(k13_polynom3(A)), u1_struct_0(k6_ring_4(A, B))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k13_polynom3(A)), u1_struct_0(k6_ring_4(A, B)))))) )  =>  (C=k7_ring_4(A, B) <=>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  => k1_funct_1(C, D)=k6_hurwitz(A, D, B)) ) ) ) ) ) ) ) ) ).
fof(t47_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v3_ring_4(B, A))  & m1_ring_4(B, A, u1_struct_0(k13_polynom3(A))))  => k8_vectsp10(k13_polynom3(A), k6_ring_4(A, B), k7_ring_4(A, B))=k7_ideal_1(k13_polynom3(A), k1_ring_4(k13_polynom3(A), B))) ) ) ) ).
fof(t48_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v3_ring_4(B, A))  & m1_ring_4(B, A, u1_struct_0(k13_polynom3(A))))  => r2_ring_3(k2_ring_1(k13_polynom3(A), k7_ideal_1(k13_polynom3(A), k1_ring_4(k13_polynom3(A), B))), k6_ring_4(A, B))) ) ) ) ).
fof(d10_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (v4_ring_4(D, A, B, C) <=>  (r1_gcd_1(A, D, B) &  (r1_gcd_1(A, D, C) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_gcd_1(A, E, B) & r1_gcd_1(A, E, C))  => r1_gcd_1(A, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) &  (v3_gcd_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v4_ring_4(D, A, B, C) & m1_subset_1(D, u1_struct_0(A)))  =>  (! [E] :  ( (v4_ring_4(E, A, B, C) & m1_subset_1(E, u1_struct_0(A)))  => r4_gcd_1(A, D, E)) ) ) ) ) ) ) ) ) ) ).
fof(d11_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ring_4(B, A, u1_struct_0(k13_polynom3(A))) =>  (! [C] :  (m1_ring_4(C, A, u1_struct_0(k13_polynom3(A))) =>  (! [D] :  (m1_ring_4(D, A, u1_struct_0(k13_polynom3(A))) =>  ( ( (r2_funct_2(k4_ordinal1, u1_struct_0(A), B, k9_polynom3(A)) & r2_funct_2(k4_ordinal1, u1_struct_0(A), C, k9_polynom3(A)))  =>  (D=k8_ring_4(A, B, C) <=> r2_funct_2(k4_ordinal1, u1_struct_0(A), D, k9_polynom3(A))) )  &  ( ~ ( (r2_funct_2(k4_ordinal1, u1_struct_0(A), B, k9_polynom3(A)) & r2_funct_2(k4_ordinal1, u1_struct_0(A), C, k9_polynom3(A))) )  =>  (D=k8_ring_4(A, B, C) <=>  ( (v4_ring_4(D, k13_polynom3(A), B, C) & m1_subset_1(D, u1_struct_0(k13_polynom3(A))))  & v2_ratfunc1(D, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ring_4(B, A, u1_struct_0(k13_polynom3(A))) =>  (! [C] :  (m1_ring_4(C, A, u1_struct_0(k13_polynom3(A))) =>  (r1_ring_4(A, k10_ring_4(A, B, C), B) &  (r1_ring_4(A, k10_ring_4(A, B, C), C) &  (! [D] :  (m1_ring_4(D, A, u1_struct_0(k13_polynom3(A))) =>  ( (r1_ring_4(A, D, B) & r1_ring_4(A, D, C))  => r1_ring_4(A, D, k10_ring_4(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k13_polynom3(A))) =>  (r2_gcd_1(k13_polynom3(A), k10_ring_4(A, B, C), B) &  (r2_gcd_1(k13_polynom3(A), k10_ring_4(A, B, C), C) &  (! [D] :  (m1_subset_1(D, u1_struct_0(k13_polynom3(A))) =>  ( (r2_gcd_1(k13_polynom3(A), D, B) & r2_gcd_1(k13_polynom3(A), D, C))  => r2_gcd_1(k13_polynom3(A), D, k10_ring_4(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (D=k11_ring_4(A, B, C) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(k13_polynom3(A))) &  (? [F] :  (m1_subset_1(F, u1_struct_0(k13_polynom3(A))) &  (E=B &  (F=C & r2_funct_2(k4_ordinal1, u1_struct_0(A), D, k10_ring_4(A, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (r1_ring_4(A, k12_ring_4(A, B, C), B) &  (r1_ring_4(A, k12_ring_4(A, B, C), C) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ( (r1_ring_4(A, D, B) & r1_ring_4(A, D, C))  => r1_ring_4(A, D, k12_ring_4(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) &  (v1_uproots(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(D, A) &  (v2_ratfunc1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (r2_funct_2(k4_ordinal1, u1_struct_0(A), D, k12_ring_4(A, B, C)) <=>  (r1_ring_4(A, D, B) &  (r1_ring_4(A, D, C) &  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(E, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ( (r1_ring_4(A, E, B) & r1_ring_4(A, E, C))  => r1_ring_4(A, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_ring_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k1_ring_4(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(redefinition_k1_ring_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  & m1_subset_1(B, u1_struct_0(A)))  => k1_ring_4(A, B)=k1_tarski(B)) ) ).
fof(dt_m1_ring_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  &  ( ~ (v1_xboole_0(B))  & v1_ring_4(B, A)) )  =>  (! [C] :  (m1_ring_4(C, A, B) =>  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ) ) ) ).
fof(existence_m1_ring_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  &  ( ~ (v1_xboole_0(B))  & v1_ring_4(B, A)) )  =>  (? [C] : m1_ring_4(C, A, B)) ) ) ).
fof(redefinition_m1_ring_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  &  ( ~ (v1_xboole_0(B))  & v1_ring_4(B, A)) )  =>  (! [C] :  (m1_ring_4(C, A, B) <=> m1_subset_1(C, B)) ) ) ) ).
fof(dt_k2_ring_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k2_ring_4(A, B)) &  (v1_funct_2(k2_ring_4(A, B), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k2_ring_4(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(dt_k3_ring_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(k13_polynom3(A))))  => m1_ring_4(k3_ring_4(A, B), A, u1_struct_0(k13_polynom3(A)))) ) ).
fof(redefinition_k3_ring_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(k13_polynom3(A))))  => k3_ring_4(A, B)=k8_polynom5(A, B)) ) ).
fof(dt_k4_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (v1_funct_1(k4_ring_4(A)) &  (v1_funct_2(k4_ring_4(A), u1_struct_0(A), u1_struct_0(k13_polynom3(A))) & m1_subset_1(k4_ring_4(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k13_polynom3(A)))))) ) ) ) ).
fof(dt_k5_ring_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (v1_funct_1(k5_ring_4(A, B)) &  (v1_funct_2(k5_ring_4(A, B), k2_zfmisc_1(u1_struct_0(k13_polynom3(A)), u1_struct_0(k13_polynom3(A))), u1_struct_0(k13_polynom3(A))) & m1_subset_1(k5_ring_4(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k13_polynom3(A)), u1_struct_0(k13_polynom3(A))), u1_struct_0(k13_polynom3(A)))))) ) ) ) ).
fof(dt_k6_ring_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v3_ring_4(B, A))  & m1_subset_1(B, u1_struct_0(k13_polynom3(A)))) )  =>  (v36_algstr_0(k6_ring_4(A, B)) & l6_algstr_0(k6_ring_4(A, B))) ) ) ).
fof(dt_k7_ring_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v3_ring_4(B, A))  & m1_subset_1(B, u1_struct_0(k13_polynom3(A)))) )  =>  (v1_funct_1(k7_ring_4(A, B)) &  (v1_funct_2(k7_ring_4(A, B), u1_struct_0(k13_polynom3(A)), u1_struct_0(k6_ring_4(A, B))) & m1_subset_1(k7_ring_4(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k13_polynom3(A)), u1_struct_0(k6_ring_4(A, B)))))) ) ) ) ).
fof(dt_k8_ring_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) & m1_subset_1(C, u1_struct_0(k13_polynom3(A)))) )  => m1_ring_4(k8_ring_4(A, B, C), A, u1_struct_0(k13_polynom3(A)))) ) ).
fof(dt_k9_ring_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) & m1_subset_1(C, u1_struct_0(k13_polynom3(A)))) )  => m1_ring_4(k9_ring_4(A, B, C), A, u1_struct_0(k13_polynom3(A)))) ) ).
fof(commutativity_k9_ring_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) & m1_subset_1(C, u1_struct_0(k13_polynom3(A)))) )  => k9_ring_4(A, B, C)=k9_ring_4(A, C, B)) ) ).
fof(redefinition_k9_ring_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) & m1_subset_1(C, u1_struct_0(k13_polynom3(A)))) )  => k9_ring_4(A, B, C)=k8_ring_4(A, B, C)) ) ).
fof(dt_k10_ring_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) & m1_subset_1(C, u1_struct_0(k13_polynom3(A)))) )  => m1_ring_4(k10_ring_4(A, B, C), A, u1_struct_0(k13_polynom3(A)))) ) ).
fof(commutativity_k10_ring_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) & m1_subset_1(C, u1_struct_0(k13_polynom3(A)))) )  => k10_ring_4(A, B, C)=k10_ring_4(A, C, B)) ) ).
fof(redefinition_k10_ring_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(k13_polynom3(A))) & m1_subset_1(C, u1_struct_0(k13_polynom3(A)))) )  => k10_ring_4(A, B, C)=k8_ring_4(A, B, C)) ) ).
fof(dt_k11_ring_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k11_ring_4(A, B, C)) &  (v1_funct_2(k11_ring_4(A, B, C), k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(k11_ring_4(A, B, C), A) & m1_subset_1(k11_ring_4(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ) ).
fof(dt_k12_ring_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k12_ring_4(A, B, C)) &  (v1_funct_2(k12_ring_4(A, B, C), k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(k12_ring_4(A, B, C), A) & m1_subset_1(k12_ring_4(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ) ).
fof(commutativity_k12_ring_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  => k12_ring_4(A, B, C)=k12_ring_4(A, C, B)) ) ).
fof(redefinition_k12_ring_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  => k12_ring_4(A, B, C)=k11_ring_4(A, B, C)) ) ).
fof(d8_ring_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v3_ring_4(B, A))  & m1_ring_4(B, A, u1_struct_0(k13_polynom3(A))))  =>  (! [C] :  ( (v36_algstr_0(C) & l6_algstr_0(C))  =>  (C=k6_ring_4(A, B) <=>  (u1_struct_0(C)=a_2_0_ring_4(A, B) &  (u1_algstr_0(C)=k1_realset1(u1_algstr_0(k13_polynom3(A)), u1_struct_0(C)) &  (u2_algstr_0(C)=k1_realset1(k5_ring_4(A, B), u1_struct_0(C)) &  (u3_struct_0(C)=k10_polynom3(A) & u2_struct_0(C)=k9_polynom3(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_ring_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v33_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v3_ring_4(C, B))  & m1_ring_4(C, B, u1_struct_0(k13_polynom3(B)))) )  =>  (r2_hidden(A, a_2_0_ring_4(B, C)) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(D, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) )  &  (A=D &  ~ (r1_xxreal_0(k2_hurwitz(B, C), k2_hurwitz(B, D))) ) ) ) ) ) ) ).
fof(rc1_ring_5, axiom,  (? [A] :  ( ~ (v1_zfmisc_1(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_finset_1(A) &  (v1_card_1(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_xcmplx_0(A) &  ~ (v1_int_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rd1_ring_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => k12_algstr_0(A, B, k5_struct_0(A))=B) ) ).
fof(fc1_ring_5, axiom,  ( ~ (v7_struct_0(k9_int_3(2)))  & v33_algstr_0(k9_int_3(2))) ).
fof(fc2_ring_5, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v7_ordinal1(A) &  ~ (v1_int_2(A)) ) )  =>  ~ (v1_vectsp_2(k9_int_3(A))) ) ) ).
fof(fc3_ring_5, axiom,  ~ (v6_struct_0(k9_int_3(6))) ).
fof(cc1_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & v1_uproots(B, A)) ) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & v1_uproots(B, A)) ) ) ) ) ) ) ) ).
fof(cc2_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & v2_ratfunc1(B, A)) ) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & v1_uproots(B, A)) ) ) ) ) ) ) ) ).
fof(fc4_ring_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  =>  (v7_ordinal1(k2_hurwitz(A, B)) & v1_int_1(k2_hurwitz(A, B))) ) ) ).
fof(fc5_ring_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  ( ~ (v1_uproots(B, A))  & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k11_polynom3(A, B, C)) &  (v1_funct_2(k11_polynom3(A, B, C), k4_ordinal1, u1_struct_0(A)) &  ~ (v1_uproots(k11_polynom3(A, B, C), A)) ) ) ) ) ).
fof(fc6_ring_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  ( ~ (v1_uproots(B, A))  & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k11_polynom3(A, C, B)) &  (v1_funct_2(k11_polynom3(A, C, B), k4_ordinal1, u1_struct_0(A)) &  ~ (v1_uproots(k11_polynom3(A, C, B), A)) ) ) ) ) ).
fof(rd2_ring_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  ( ~ (v1_uproots(B, A))  & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  => k8_polynom3(A, B, C)=C) ) ).
fof(rd3_ring_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  ( ~ (v1_uproots(B, A))  & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  => k8_polynom3(A, C, B)=C) ) ).
fof(rd4_ring_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  => k11_polynom3(A, B, k9_polynom3(A))=k9_polynom3(A)) ) ).
fof(rd5_ring_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  => k11_polynom3(A, B, k10_polynom3(A))=B) ) ).
fof(rd6_ring_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  => k11_polynom3(A, k9_polynom3(A), B)=k9_polynom3(A)) ) ).
fof(rd7_ring_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  => k11_polynom3(A, k10_polynom3(A), B)=B) ) ).
fof(rd8_ring_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  => k4_polynom5(A, B, k5_struct_0(A))=B) ) ).
fof(fc7_ring_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v2_ratfunc1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) &  (v2_ratfunc1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ) )  =>  (v1_funct_1(k11_polynom3(A, B, C)) &  (v1_funct_2(k11_polynom3(A, B, C), k4_ordinal1, u1_struct_0(A)) & v2_ratfunc1(k11_polynom3(A, B, C), A)) ) ) ) ).
fof(fc8_ring_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & v7_ordinal1(C)) )  =>  (v1_funct_1(k3_polynom5(A, k3_hurwitz(A, B, 1), C)) &  (v1_funct_2(k3_polynom5(A, k3_hurwitz(A, B, 1), C), k4_ordinal1, u1_struct_0(A)) &  (v1_uproots(k3_polynom5(A, k3_hurwitz(A, B, 1), C), A) & v2_ratfunc1(k3_polynom5(A, k3_hurwitz(A, B, 1), C), A)) ) ) ) ) ).
fof(fc9_ring_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  &  ( ~ (v9_struct_0(C, A))  & m1_subset_1(C, u1_struct_0(A))) ) )  =>  (v1_funct_1(k4_polynom5(A, B, C)) &  (v1_funct_2(k4_polynom5(A, B, C), k4_ordinal1, u1_struct_0(A)) & v1_uproots(k4_polynom5(A, B, C), A)) ) ) ) ).
fof(fc10_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k10_polynom3(A)) &  (v1_funct_2(k10_polynom3(A), k4_ordinal1, u1_struct_0(A)) &  ~ (v1_polynom5(k10_polynom3(A), A)) ) ) ) ) ).
fof(fc11_ring_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  &  ( ~ (v9_struct_0(B, A))  & m1_subset_1(B, u1_struct_0(A))) )  =>  (v1_funct_1(k2_ring_4(A, B)) &  (v1_funct_2(k2_ring_4(A, B), k4_ordinal1, u1_struct_0(A)) &  ~ (v1_polynom5(k2_ring_4(A, B), A)) ) ) ) ) ).
fof(cc3_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & v1_polynom5(B, A)) ) ) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  ~ (v1_ratfunc1(B, A)) ) ) ) ) ) ) ) ) ).
fof(cc4_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  ~ (v1_polynom5(B, A)) ) ) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & v1_uproots(B, A)) ) ) ) ) ) ) ) ).
fof(fc12_ring_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k3_hurwitz(A, B, 1)) &  (v1_funct_2(k3_hurwitz(A, B, 1), k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(k3_hurwitz(A, B, 1), A) &  (v1_uproots(k3_hurwitz(A, B, 1), A) & v1_polynom5(k3_hurwitz(A, B, 1), A)) ) ) ) ) ) ).
fof(rc2_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) &  ~ (v1_polynom5(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & v1_polynom5(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc13_ring_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  ( ~ (v1_polynom5(B, A))  & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  &  ( ~ (v9_struct_0(C, A))  & m1_subset_1(C, u1_struct_0(A))) ) )  =>  (v1_funct_1(k4_polynom5(A, B, C)) &  (v1_funct_2(k4_polynom5(A, B, C), k4_ordinal1, u1_struct_0(A)) &  ~ (v1_polynom5(k4_polynom5(A, B, C), A)) ) ) ) ) ).
fof(fc14_ring_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_polynom5(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  & m1_subset_1(C, u1_struct_0(A))) )  =>  (v1_funct_1(k4_polynom5(A, B, C)) &  (v1_funct_2(k4_polynom5(A, B, C), k4_ordinal1, u1_struct_0(A)) & v1_polynom5(k4_polynom5(A, B, C), A)) ) ) ) ).
fof(fc15_ring_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_polynom5(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  =>  (v1_funct_1(k11_polynom3(A, B, C)) &  (v1_funct_2(k11_polynom3(A, B, C), k4_ordinal1, u1_struct_0(A)) & v1_polynom5(k11_polynom3(A, B, C), A)) ) ) ) ).
fof(fc16_ring_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  ( ~ (v1_polynom5(B, A))  & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) &  ( ~ (v1_polynom5(C, A))  & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ) )  =>  (v1_funct_1(k11_polynom3(A, B, C)) &  (v1_funct_2(k11_polynom3(A, B, C), k4_ordinal1, u1_struct_0(A)) &  ~ (v1_polynom5(k11_polynom3(A, B, C), A)) ) ) ) ) ).
fof(fc17_ring_5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  ( ~ (v8_ordinal1(C))  & m1_subset_1(C, k4_ordinal1)) ) )  =>  (v1_funct_1(k3_hurwitz(A, B, C)) &  (v1_funct_2(k3_hurwitz(A, B, C), k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(k3_hurwitz(A, B, C), A) &  ( ~ (v1_ratfunc1(k3_hurwitz(A, B, C), A))  &  (v2_ratfunc1(k3_hurwitz(A, B, C), A) & v1_polynom5(k3_hurwitz(A, B, C), A)) ) ) ) ) ) ) ).
fof(rc4_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  ( ~ (v1_ratfunc1(B, A))  & v2_ratfunc1(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc18_ring_5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  &  ( ~ (v8_ordinal1(D))  & m1_subset_1(D, k4_ordinal1)) ) ) )  =>  (v1_funct_1(k3_polynom5(A, k3_hurwitz(A, B, D), C)) &  (v1_funct_2(k3_polynom5(A, k3_hurwitz(A, B, D), C), k4_ordinal1, u1_struct_0(A)) &  ( ~ (v1_ratfunc1(k3_polynom5(A, k3_hurwitz(A, B, D), C), A))  &  (v2_ratfunc1(k3_polynom5(A, k3_hurwitz(A, B, D), C), A) & v1_polynom5(k3_polynom5(A, k3_hurwitz(A, B, D), C), A)) ) ) ) ) ) ).
fof(fc19_ring_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_polynom5(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  =>  ~ (v1_xboole_0(k7_polynom5(A, B))) ) ) ).
fof(fc20_ring_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  ( ~ (v1_polynom5(B, A))  & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  => v1_xboole_0(k7_polynom5(A, B))) ) ).
fof(rc5_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v2_ratfunc1(B, A) & v1_polynom5(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc6_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v2_ratfunc1(B, A) &  ~ (v1_polynom5(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc7_ring_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k3_numbers) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, A) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) &  (v4_valued_0(B) &  (v2_pre_poly(B) & v1_termord(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc8_ring_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k3_numbers) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, A) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) &  (v4_valued_0(B) &  (v2_pre_poly(B) &  ~ (v1_termord(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc21_ring_5, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) ) ) )  =>  (v1_relat_1(k1_valued_1(B, C)) &  (v4_relat_1(k1_valued_1(B, C), A) & v1_funct_1(k1_valued_1(B, C))) ) ) ) ).
fof(fc22_ring_5, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) ) ) )  =>  (v1_relat_1(k1_valued_1(B, C)) &  (v1_funct_1(k1_valued_1(B, C)) & v1_partfun1(k1_valued_1(B, C), A)) ) ) ) ).
fof(fc23_ring_5, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) &  (v2_pre_poly(B) &  ~ (v1_termord(B, A)) ) ) ) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v1_partfun1(C, A) &  (v4_valued_0(C) & v2_pre_poly(C)) ) ) ) ) ) )  =>  (v1_relat_1(k1_valued_1(B, C)) &  (v1_funct_1(k1_valued_1(B, C)) &  ~ (v1_termord(k1_valued_1(B, C), A)) ) ) ) ) ).
fof(fc24_ring_5, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(A))) ) )  =>  (v1_relat_1(k1_ring_5(A, B)) &  (v4_relat_1(k1_ring_5(A, B), A) &  (v1_funct_1(k1_ring_5(A, B)) &  (v1_partfun1(k1_ring_5(A, B), A) &  (v4_valued_0(k1_ring_5(A, B)) &  (v2_pre_poly(k1_ring_5(A, B)) &  ~ (v1_termord(k1_ring_5(A, B), A)) ) ) ) ) ) ) ) ) ).
fof(fc25_ring_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) &  (v1_polynom5(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ) )  =>  (v1_relat_1(k7_uproots(A, B)) &  (v4_relat_1(k7_uproots(A, B), u1_struct_0(A)) &  (v1_funct_1(k7_uproots(A, B)) &  (v1_partfun1(k7_uproots(A, B), u1_struct_0(A)) &  (v4_valued_0(k7_uproots(A, B)) &  (v2_pre_poly(k7_uproots(A, B)) &  ~ (v1_termord(k7_uproots(A, B), u1_struct_0(A))) ) ) ) ) ) ) ) ) ).
fof(fc26_ring_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l6_algstr_0(A)) )  & v7_ordinal1(B))  =>  (v1_funct_1(k3_ring_5(A, B)) &  (v1_funct_2(k3_ring_5(A, B), k4_ordinal1, u1_struct_0(A)) & v1_polynom1(k3_ring_5(A, B), A)) ) ) ) ).
fof(fc27_ring_5, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v1_group_1(A) & l6_algstr_0(A)) )  & v7_ordinal1(B))  =>  (v1_funct_1(k3_ring_5(A, B)) &  (v1_funct_2(k3_ring_5(A, B), k4_ordinal1, u1_struct_0(A)) & v1_uproots(k3_ring_5(A, B), A)) ) ) ) ).
fof(fc28_ring_5, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_abian(A))  =>  (v1_funct_1(k3_ring_5(k2_vectsp_1, A)) &  (v1_funct_2(k3_ring_5(k2_vectsp_1, A), k4_ordinal1, u1_struct_0(k2_vectsp_1)) &  ~ (v1_polynom5(k3_ring_5(k2_vectsp_1, A), k2_vectsp_1)) ) ) ) ) ).
fof(fc29_ring_5, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_abian(A)) )  =>  (v1_funct_1(k3_ring_5(k2_vectsp_1, A)) &  (v1_funct_2(k3_ring_5(k2_vectsp_1, A), k4_ordinal1, u1_struct_0(k2_vectsp_1)) & v1_polynom5(k3_ring_5(k2_vectsp_1, A), k2_vectsp_1)) ) ) ) ).
fof(fc30_ring_5, axiom,  (v1_funct_1(k3_ring_5(k9_int_3(2), 2)) &  (v1_funct_2(k3_ring_5(k9_int_3(2), 2), k4_ordinal1, u1_struct_0(k9_int_3(2))) & v1_polynom5(k3_ring_5(k9_int_3(2), 2), k9_int_3(2))) ) ).
fof(cc5_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ring_5(B, A) =>  ( ~ (v1_ratfunc1(B, A))  &  (v2_ratfunc1(B, A) & v1_polynom5(B, A)) ) ) ) ) ) ).
fof(cc6_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_polynom5(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A)))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  ~ (v1_ratfunc1(B, A)) ) ) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  ( ~ (v1_ratfunc1(B, A))  & v1_polynom5(B, A)) ) ) ) ) ) ) ) ) ).
fof(fc31_ring_5, axiom,  (v36_algstr_0(k2_vectsp_1) &  ~ (v2_polynom5(k2_vectsp_1)) ) ).
fof(cc7_ring_5, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v8_struct_0(A) &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & v1_vectsp_2(A)) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v8_struct_0(A) &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) &  ~ (v2_polynom5(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc8_ring_5, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & v2_polynom5(A)) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v34_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) & v5_vectsp_1(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_ring_5, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_abian(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_vectsp_1)) => r1_xxreal_0(k4_struct_0(k2_vectsp_1), k2_binom(k2_vectsp_1, B, A))) ) ) ) ).
fof(t2_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_ring_3(A, B, 2)=k1_algstr_0(A, B, B)) ) ) ) ).
fof(t3_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_binom(A, B, 2)=k6_algstr_0(A, B, B)) ) ) ) ).
fof(t4_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( ( ~ (v9_struct_0(C, A))  & m1_subset_1(C, u1_struct_0(A)))  => k2_hurwitz(A, k4_polynom5(A, B, C))=k2_hurwitz(A, B)) ) ) ) ) ) ).
fof(t5_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_ratfunc1(A, k4_polynom5(A, B, C))=k6_algstr_0(A, C, k2_ratfunc1(A, B))) ) ) ) ) ) ).
fof(t6_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_ratfunc1(A, k2_ring_4(A, B))=B) ) ) ) ).
fof(t7_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_polynom4(A, k4_polynom5(A, B, C), D)=k6_algstr_0(A, C, k2_polynom4(A, B, D))) ) ) ) ) ) ) ) ).
fof(t8_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_polynom4(A, k2_ring_4(A, B), C)=B) ) ) ) ) ) ).
fof(t9_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & m1_subset_1(C, k4_ordinal1))  => k2_ratfunc1(A, k3_hurwitz(A, B, C))=k5_struct_0(A)) ) ) ) ) ) ).
fof(t10_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v4_vectsp_1(A) & l6_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_polynom5(A, k4_algstr_0(A, B), k5_struct_0(A))=k3_hurwitz(A, B, 1)) ) ) ) ).
fof(t11_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k2_polynom4(A, B, C)=k4_struct_0(A) <=> r1_ring_4(A, k3_hurwitz(A, C, 1), B)) ) ) ) ) ) ) ).
fof(t12_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r1_ring_4(A, k3_hurwitz(A, D, 1), k12_polynom3(A, B, C)) &  ( ~ (r1_ring_4(A, k3_hurwitz(A, D, 1), B))  &  ~ (r1_ring_4(A, k3_hurwitz(A, D, 1), C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) &  (v1_uproots(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (r1_ring_4(A, B, C) => r1_xxreal_0(k2_hurwitz(A, B), k2_hurwitz(A, C))) ) ) ) ) ) ) ).
fof(t14_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) &  (v1_uproots(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (! [D] :  ( ( ~ (v9_struct_0(D, A))  & m1_subset_1(D, u1_struct_0(A)))  =>  (r1_ring_4(A, B, C) => r1_ring_4(A, B, k4_polynom5(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t15_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) &  (v1_uproots(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (! [D] :  ( ( ~ (v9_struct_0(D, A))  & m1_subset_1(D, u1_struct_0(A)))  =>  (r1_ring_4(A, B, C) <=> r1_ring_4(A, B, k4_polynom5(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t16_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( ( ~ (v9_struct_0(D, A))  & m1_subset_1(D, u1_struct_0(A)))  =>  (r1_ring_4(A, k3_hurwitz(A, C, 1), B) <=> r1_ring_4(A, k3_hurwitz(A, C, 1), k4_polynom5(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t17_ring_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v1_vectsp_2(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(C, B) &  (v1_uproots(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( ( ~ (v9_struct_0(E, B))  & m1_subset_1(E, u1_struct_0(B)))  =>  (r1_ring_4(B, k3_polynom5(B, k3_hurwitz(B, D, 1), A), C) <=> r1_ring_4(B, k3_polynom5(B, k3_hurwitz(B, D, 1), A), k4_polynom5(B, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k7_polynom5(A, k3_hurwitz(A, B, 1))=k1_ring_4(A, B)) ) ) ) ).
fof(t19_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( ( ~ (v9_struct_0(C, A))  & m1_subset_1(C, u1_struct_0(A)))  => k7_polynom5(A, k4_polynom5(A, B, C))=k7_polynom5(A, B)) ) ) ) ) ) ).
fof(t20_ring_5, axiom,  ~ ( (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, u1_struct_0(k9_int_3(6))) &  (v1_polynom1(A, k9_int_3(6)) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k9_int_3(6)))))) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(k9_int_3(6))) &  (v1_polynom1(B, k9_int_3(6)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(k9_int_3(6)))))) ) )  => r1_tarski(k7_polynom5(k9_int_3(6), k12_polynom3(k9_int_3(6), A, B)), k4_subset_1(u1_struct_0(k9_int_3(6)), k7_polynom5(k9_int_3(6), A), k7_polynom5(k9_int_3(6), B)))) ) ) ) ) ).
fof(t21_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_ring_4(A, k3_hurwitz(A, B, 1), k3_hurwitz(A, C, 1)) <=> B=C) ) ) ) ) ) ) ).
fof(t22_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  => r1_xxreal_0(k4_card_1(k7_polynom5(A, B)), k2_hurwitz(A, B))) ) ) ) ).
fof(t23_ring_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (k2_uproots(A, B)=k5_numbers <=> k22_pre_poly(A, B)=k1_xboole_0) ) ) ) ) ).
fof(t24_ring_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (v1_termord(B, A) <=> k22_pre_poly(A, B)=k1_xboole_0) ) ) ) ) ).
fof(t25_ring_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (v1_termord(B, A) <=> k1_rvsum_1(B)=k6_domain_1(k4_ordinal1, k5_numbers)) ) ) ) ) ).
fof(t26_ring_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (k22_pre_poly(A, B)=k6_domain_1(A, C) => B=k1_uproots(A, k6_domain_1(A, C), k1_recdef_1(B, C))) ) ) ) ) ) ) ).
fof(t27_ring_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (k22_pre_poly(A, B)=k6_domain_1(A, C) <=>  (B=k1_uproots(A, k6_domain_1(A, C), k1_recdef_1(B, C)) &  ~ (k1_recdef_1(B, C)=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(d1_ring_5, axiom,  (! [A] :  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(A)))  => k1_ring_5(A, B)=k1_uproots(A, B, 1)) ) ) ).
fof(d2_ring_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, A) => k2_ring_5(A, B, C)=k1_funct_7(B, C, k5_numbers)) ) ) ) ) ) ).
fof(t28_ring_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, A) =>  (k2_ring_5(A, B, C)=B <=>  ~ (r2_tarski(C, k22_pre_poly(A, B))) ) ) ) ) ) ) ) ).
fof(t29_ring_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, A) => k22_pre_poly(A, k2_ring_5(A, B, C))=k7_subset_1(A, k22_pre_poly(A, B), k6_domain_1(A, C))) ) ) ) ) ) ).
fof(t30_ring_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, A) => k11_pre_poly(A, k2_ring_5(A, B, C), k1_uproots(A, k6_domain_1(A, C), k1_recdef_1(B, C)))=B) ) ) ) ) ) ).
fof(t31_ring_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) => k2_uproots(A, k1_uproots(A, k6_domain_1(A, B), C))=C) ) ) ) ) ) ).
fof(t32_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k6_uproots(A, C, B)=k5_numbers <=>  ~ (r1_ring_4(A, k3_hurwitz(A, C, 1), B)) ) ) ) ) ) ) ) ).
fof(t33_ring_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v1_vectsp_2(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(B)) &  (v1_polynom1(C, B) &  (v1_uproots(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(B))))) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (k6_uproots(B, D, C)=A <=>  (r1_ring_4(B, k3_polynom5(B, k3_hurwitz(B, D, 1), A), C) &  ~ (r1_ring_4(B, k3_polynom5(B, k3_hurwitz(B, D, 1), k1_nat_1(A, 1)), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_uproots(A, B, k3_hurwitz(A, B, 1))=1) ) ) ) ).
fof(t35_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (C=B)  => k6_uproots(A, C, k3_hurwitz(A, B, 1))=k5_numbers) ) ) ) ) ) ) ).
fof(t36_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (! [C] :  ( ( ~ (v9_struct_0(C, A))  & m1_subset_1(C, u1_struct_0(A)))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k6_uproots(A, D, B)=k6_uproots(A, D, k4_polynom5(A, B, C))) ) ) ) ) ) ) ) ).
fof(t37_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (! [C] :  ( ( ~ (v9_struct_0(C, A))  & m1_subset_1(C, u1_struct_0(A)))  => k7_uproots(A, k4_polynom5(A, B, C))=k7_uproots(A, B)) ) ) ) ) ) ).
fof(t38_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) &  ( ~ (v1_polynom5(B, A))  & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  => k7_uproots(A, B)=k16_pre_poly(u1_struct_0(A))) ) ) ) ).
fof(t39_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v9_struct_0(B, A))  & m1_subset_1(B, u1_struct_0(A)))  => k2_uproots(u1_struct_0(A), k7_uproots(A, k2_ring_4(A, B)))=k5_numbers) ) ) ) ).
fof(t40_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_uproots(u1_struct_0(A), k7_uproots(A, k3_hurwitz(A, B, 1)))=1) ) ) ) ).
fof(t41_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) &  (v1_uproots(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  => k2_uproots(u1_struct_0(A), k7_uproots(A, k12_polynom3(A, B, C)))=k2_xcmplx_0(k2_uproots(u1_struct_0(A), k7_uproots(A, B)), k2_uproots(u1_struct_0(A), k7_uproots(A, C)))) ) ) ) ) ) ).
fof(t42_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  => r1_xxreal_0(k2_uproots(u1_struct_0(A), k7_uproots(A, B)), k2_hurwitz(A, B))) ) ) ) ).
fof(d3_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l6_algstr_0(A)) )  =>  (! [B] :  (v7_ordinal1(B) => k3_ring_5(A, B)=k1_funct_4(k9_polynom3(A), k7_funct_4(u1_struct_0(A), k5_numbers, B, k5_struct_0(A), k5_struct_0(A)))) ) ) ) ).
fof(t43_ring_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v1_group_1(B) & l6_algstr_0(B)) )  => k2_hurwitz(B, k3_ring_5(B, A))=A) ) ) ) ).
fof(t44_ring_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v1_group_1(B) & l6_algstr_0(B)) )  => k2_ratfunc1(B, k3_ring_5(B, A))=k5_struct_0(B)) ) ) ) ).
fof(t45_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_polynom4(A, k3_ring_5(A, k5_numbers), B)=k5_struct_0(A)) ) ) ) ).
fof(t46_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_polynom4(A, k3_ring_5(A, B), C)=k1_algstr_0(A, k2_binom(A, C, B), k5_struct_0(A))) ) ) ) ) ) ).
fof(t47_ring_5, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_abian(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_vectsp_1)) =>  ~ (r1_xxreal_0(k2_polynom4(k2_vectsp_1, k3_ring_5(k2_vectsp_1, A), B), k4_struct_0(k2_vectsp_1))) ) ) ) ) ).
fof(t48_ring_5, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v1_abian(A)) )  => k2_polynom4(k2_vectsp_1, k3_ring_5(k2_vectsp_1, A), k4_algstr_0(k2_vectsp_1, k5_struct_0(k2_vectsp_1)))=k4_struct_0(k2_vectsp_1)) ) ).
fof(t49_ring_5, axiom, k2_polynom4(k9_int_3(2), k3_ring_5(k9_int_3(2), 2), k5_struct_0(k9_int_3(2)))=k4_struct_0(k9_int_3(2))).
fof(d4_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (m1_ring_5(B, A) <=>  (? [C] :  ( ( ~ (v1_xboole_0(C))  & m2_finseq_1(C, u1_struct_0(k13_polynom3(A))))  &  (B=k3_group_4(k13_polynom3(A), C) &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(D, k4_finseq_1(C)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ (k1_funct_1(C, D)=k3_hurwitz(A, E, 1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ring_5(B, A) => k2_ratfunc1(A, B)=k5_struct_0(A)) ) ) ) ).
fof(t51_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => m1_ring_5(k3_hurwitz(A, B, 1), A)) ) ) ) ).
fof(t52_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ring_5(B, A) =>  (! [C] :  (m1_ring_5(C, A) => m1_ring_5(k12_polynom3(A, B, C), A)) ) ) ) ) ) ).
fof(d5_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v4_valued_0(B) &  (v2_pre_poly(B) &  ~ (v1_termord(B, u1_struct_0(A))) ) ) ) ) ) )  =>  (! [C] :  (m1_ring_5(C, A) =>  (m2_ring_5(C, A, B) <=>  (k2_hurwitz(A, C)=k2_uproots(u1_struct_0(A), B) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k6_uproots(A, D, C)=k1_recdef_1(B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t53_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v4_valued_0(B) &  (v2_pre_poly(B) &  ~ (v1_termord(B, u1_struct_0(A))) ) ) ) ) ) )  =>  (! [C] :  (m2_ring_5(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, k22_pre_poly(u1_struct_0(A), B)) => k2_polynom4(A, C, D)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ).
fof(t54_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v4_valued_0(B) &  (v2_pre_poly(B) &  ~ (v1_termord(B, u1_struct_0(A))) ) ) ) ) ) )  =>  (! [C] :  (m2_ring_5(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_ring_4(A, k3_polynom5(A, k3_hurwitz(A, D, 1), k1_recdef_1(B, D)), C) &  ~ (r1_ring_4(A, k3_polynom5(A, k3_hurwitz(A, D, 1), k1_nat_1(k1_recdef_1(B, D), 1)), C)) ) ) ) ) ) ) ) ) ) ).
fof(t55_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v4_valued_0(B) &  (v2_pre_poly(B) &  ~ (v1_termord(B, u1_struct_0(A))) ) ) ) ) ) )  =>  (! [C] :  (m2_ring_5(C, A, B) => k7_uproots(A, C)=B) ) ) ) ) ) ).
fof(t56_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v4_valued_0(B) &  (v2_pre_poly(B) &  ~ (v1_termord(B, u1_struct_0(A))) ) ) ) ) ) )  =>  (! [C] :  (m2_ring_5(C, A, B) => k2_hurwitz(A, C)=k2_uproots(u1_struct_0(A), k7_uproots(A, C))) ) ) ) ) ) ).
fof(t57_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => m2_ring_5(k3_hurwitz(A, B, 1), A, k1_ring_5(u1_struct_0(A), k1_ring_4(A, B)))) ) ) ) ).
fof(t58_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v4_valued_0(B) &  (v2_pre_poly(B) &  ~ (v1_termord(B, u1_struct_0(A))) ) ) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) &  (v4_valued_0(C) &  (v2_pre_poly(C) &  ~ (v1_termord(C, u1_struct_0(A))) ) ) ) ) ) )  =>  (! [D] :  (m2_ring_5(D, A, B) =>  (! [E] :  (m2_ring_5(E, A, C) => m2_ring_5(k12_polynom3(A, D, E), A, k11_pre_poly(u1_struct_0(A), B, C))) ) ) ) ) ) ) ) ) ) ).
fof(t59_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ring_5(B, A) => m2_ring_5(B, A, k7_uproots(A, B))) ) ) ) ).
fof(t60_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [C] :  (m2_ring_5(C, A, k1_ring_5(u1_struct_0(A), B)) => k2_hurwitz(A, C)=k4_card_1(B)) ) ) ) ) ) ).
fof(t61_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [C] :  (m2_ring_5(C, A, k1_ring_5(u1_struct_0(A), B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, B) =>  (r1_ring_4(A, k3_hurwitz(A, D, 1), C) &  ~ (r1_ring_4(A, k3_polynom5(A, k3_hurwitz(A, D, 1), 2), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [C] :  (m2_ring_5(C, A, k1_ring_5(u1_struct_0(A), B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, B) => k2_polynom4(A, C, D)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ).
fof(t63_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [C] :  (m2_ring_5(C, A, k1_ring_5(u1_struct_0(A), B)) => k7_polynom5(A, C)=B) ) ) ) ) ) ).
fof(t64_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) &  (v1_polynom5(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  =>  (? [C] :  (m2_ring_5(C, A, k7_uproots(A, B)) &  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(D, A) &  ( ~ (v1_polynom5(D, A))  & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  &  (B=k12_polynom3(A, C, D) & k7_polynom5(A, C)=k7_polynom5(A, B)) ) ) ) ) ) ) ) ) ).
fof(t65_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  (v1_uproots(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  => r1_xxreal_0(k4_card_1(k7_polynom5(A, B)), k2_uproots(u1_struct_0(A), k7_uproots(A, B)))) ) ) ) ).
fof(t66_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  ( ~ (v1_ratfunc1(B, A))  & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (k2_uproots(u1_struct_0(A), k7_uproots(A, B))=k2_hurwitz(A, B) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (? [D] :  (m1_ring_5(D, A) & B=k4_polynom5(A, D, C)) ) ) ) ) ) ) ) ) ).
fof(t67_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) )  =>  ( (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) &  (k1_card_1(D)=k2_xcmplx_0(k4_xxreal_0(k2_hurwitz(A, B), k2_hurwitz(A, C)), 1) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_tarski(E, D) => k2_polynom4(A, B, E)=k2_polynom4(A, C, E)) ) ) ) ) )  => B=C) ) ) ) ) ) ) ).
fof(t68_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_polynom5(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  ( ~ (v1_ratfunc1(B, A))  & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) )  =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (? [D] :  (m2_ring_5(D, A, k7_uproots(A, B)) & k4_polynom5(A, D, C)=B) ) ) ) ) ) ) ) ).
fof(t69_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_polynom5(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  ( ~ (v1_ratfunc1(B, A))  &  (v2_ratfunc1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  => m2_ring_5(B, A, k7_uproots(A, B))) ) ) ) ).
fof(t70_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (v2_polynom5(A) <=>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) &  ( ~ (v1_ratfunc1(B, A))  &  (v2_ratfunc1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) )  => m1_ring_5(B, A)) ) ) ) ) ).
fof(dt_k1_ring_5, axiom,  (! [A, B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(A)))  =>  (v1_relat_1(k1_ring_5(A, B)) &  (v4_relat_1(k1_ring_5(A, B), A) &  (v1_funct_1(k1_ring_5(A, B)) &  (v1_partfun1(k1_ring_5(A, B), A) &  (v4_valued_0(k1_ring_5(A, B)) & v2_pre_poly(k1_ring_5(A, B))) ) ) ) ) ) ) ).
fof(dt_k2_ring_5, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v4_valued_0(B) & v2_pre_poly(B)) ) ) ) )  & m1_subset_1(C, A)) )  =>  (v1_relat_1(k2_ring_5(A, B, C)) &  (v4_relat_1(k2_ring_5(A, B, C), A) &  (v1_funct_1(k2_ring_5(A, B, C)) &  (v1_partfun1(k2_ring_5(A, B, C), A) &  (v4_valued_0(k2_ring_5(A, B, C)) & v2_pre_poly(k2_ring_5(A, B, C))) ) ) ) ) ) ) ).
fof(dt_k3_ring_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l6_algstr_0(A)) )  & v7_ordinal1(B))  =>  (v1_funct_1(k3_ring_5(A, B)) &  (v1_funct_2(k3_ring_5(A, B), k4_ordinal1, u1_struct_0(A)) & m1_subset_1(k3_ring_5(A, B), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ).
fof(dt_m1_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_ring_5(B, A) =>  (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, u1_struct_0(A)) &  (v1_polynom1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) ) ) ) ) ) ) ).
fof(existence_m1_ring_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (? [B] : m1_ring_5(B, A)) ) ) ).
fof(dt_m2_ring_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v4_valued_0(B) &  (v2_pre_poly(B) &  ~ (v1_termord(B, u1_struct_0(A))) ) ) ) ) ) ) )  =>  (! [C] :  (m2_ring_5(C, A, B) => m1_ring_5(C, A)) ) ) ) ).
fof(existence_m2_ring_5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v4_valued_0(B) &  (v2_pre_poly(B) &  ~ (v1_termord(B, u1_struct_0(A))) ) ) ) ) ) ) )  =>  (? [C] : m2_ring_5(C, A, B)) ) ) ).
fof(cc1_ringcat1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ~ (v2_struct_0(B))  & l6_algstr_0(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) =>  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v1_ringcat1(C, A, B)) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v6_group_1(C, A, B) &  (v1_group_6(C, A, B) & v13_vectsp_1(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(cc2_ringcat1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  &  ( ~ (v2_struct_0(B))  & l6_algstr_0(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) =>  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v6_group_1(C, A, B) &  (v1_group_6(C, A, B) & v13_vectsp_1(C, A, B)) ) ) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v1_ringcat1(C, A, B)) ) ) ) ) ) ) ).
fof(rc1_ringcat1, axiom,  (? [A] :  (l1_ringcat1(A) & v2_ringcat1(A)) ) ).
fof(fc1_ringcat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (v1_funct_1(k3_struct_0(A)) &  (v1_funct_2(k3_struct_0(A), u1_struct_0(A), u1_struct_0(A)) & v1_ringcat1(k3_struct_0(A), A, A)) ) ) ) ).
fof(rc2_ringcat1, axiom,  (? [A] :  (l1_ringcat1(A) &  (v2_ringcat1(A) & v3_ringcat1(A)) ) ) ).
fof(fc2_ringcat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (v2_ringcat1(k4_ringcat1(A)) & v3_ringcat1(k4_ringcat1(A))) ) ) ).
fof(rc3_ringcat1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (? [C] :  (m1_ringcat1(C, A, B) &  (v2_ringcat1(C) & v3_ringcat1(C)) ) ) ) ) ).
fof(rc4_ringcat1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v4_ringcat1(A)) ) ).
fof(rc5_ringcat1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_ringcat1(A))  =>  (? [B] :  (m1_subset_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v36_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v1_group_1(B) &  (v3_group_1(B) &  (v1_vectsp_1(B) &  (v2_vectsp_1(B) &  (v3_vectsp_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & v6_vectsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc6_ringcat1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v5_ringcat1(A)) ) ).
fof(rc7_ringcat1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v5_ringcat1(A))  =>  (? [B] :  (m1_subset_1(B, A) &  (v2_ringcat1(B) & v3_ringcat1(B)) ) ) ) ) ).
fof(rc8_ringcat1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  & m4_ringcat1(C, A, B)) )  =>  (? [D] :  (m1_subset_1(D, C) &  (v2_ringcat1(D) & v3_ringcat1(D)) ) ) ) ) ).
fof(fc3_ringcat1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  ~ (v1_xboole_0(k9_ringcat1(A))) ) ) ).
fof(fc4_ringcat1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  => v4_ringcat1(k9_ringcat1(A))) ) ).
fof(fc5_ringcat1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  ( ~ (v2_struct_0(k17_ringcat1(A)))  &  ( ~ (v11_struct_0(k17_ringcat1(A)))  & v1_cat_1(k17_ringcat1(A))) ) ) ) ).
fof(fc6_ringcat1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (v2_cat_1(k17_ringcat1(A)) &  (v3_cat_1(k17_ringcat1(A)) &  (v4_cat_1(k17_ringcat1(A)) & v5_cat_1(k17_ringcat1(A))) ) ) ) ) ).
fof(fc7_ringcat1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  => v6_cat_1(k17_ringcat1(A))) ) ).
fof(d1_ringcat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l6_algstr_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (v1_ringcat1(C, A, B) <=>  (v13_vectsp_1(C, A, B) &  (v1_group_6(C, A, B) & v6_group_1(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(t1_ringcat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l6_algstr_0(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l6_algstr_0(C))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) )  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  =>  ( (v1_ringcat1(D, A, B) & v1_ringcat1(E, B, C))  => v1_ringcat1(k1_partfun1(u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_struct_0(C), D, E), A, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_ringcat1, axiom,  (! [A] :  (l1_ringcat1(A) => k1_ringcat1(A)=u1_ringcat1(A)) ) ).
fof(d3_ringcat1, axiom,  (! [A] :  (l1_ringcat1(A) => k2_ringcat1(A)=u2_ringcat1(A)) ) ).
fof(d4_ringcat1, axiom,  (! [A] :  (l1_ringcat1(A) => k3_ringcat1(A)=u3_ringcat1(A)) ) ).
fof(d5_ringcat1, axiom,  (! [A] :  (l1_ringcat1(A) =>  (v3_ringcat1(A) <=> v1_ringcat1(k3_ringcat1(A), u1_ringcat1(A), u2_ringcat1(A))) ) ) ).
fof(d6_ringcat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  => k4_ringcat1(A)=g1_ringcat1(A, A, k3_struct_0(A))) ) ).
fof(d7_ringcat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (r1_ringcat1(A, B) <=>  (? [C] :  ( (v3_ringcat1(C) & l1_ringcat1(C))  &  (k1_ringcat1(C)=A & k2_ringcat1(C)=B) ) ) ) ) ) ) ) ).
fof(d8_ringcat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (r1_ringcat1(A, B) =>  (! [C] :  ( (v2_ringcat1(C) &  (v3_ringcat1(C) & l1_ringcat1(C)) )  =>  (m1_ringcat1(C, A, B) <=>  (k1_ringcat1(C)=A & k2_ringcat1(C)=B) ) ) ) ) ) ) ) ) ).
fof(t2_ringcat1, axiom,  (! [A] :  ( (v3_ringcat1(A) & l1_ringcat1(A))  =>  (! [B] :  ( (v3_ringcat1(B) & l1_ringcat1(B))  =>  ~ ( (k1_ringcat1(A)=k2_ringcat1(B) &  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v3_group_1(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) )  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v13_algstr_0(E) &  (v2_rlvect_1(E) &  (v3_rlvect_1(E) &  (v4_rlvect_1(E) &  (v3_group_1(E) &  (v4_vectsp_1(E) &  (v5_vectsp_1(E) & l6_algstr_0(E)) ) ) ) ) ) ) )  =>  ~ ( (r1_ringcat1(C, D) &  (r1_ringcat1(D, E) &  (m1_ringcat1(g1_ringcat1(u1_ringcat1(A), u2_ringcat1(A), u3_ringcat1(A)), D, E) & m1_ringcat1(g1_ringcat1(u1_ringcat1(B), u2_ringcat1(B), u3_ringcat1(B)), C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_ringcat1, axiom,  (! [A] :  ( (v2_ringcat1(A) &  (v3_ringcat1(A) & l1_ringcat1(A)) )  =>  (m1_ringcat1(A, k1_ringcat1(A), k2_ringcat1(A)) & r1_ringcat1(k1_ringcat1(A), k2_ringcat1(A))) ) ) ).
fof(t4_ringcat1, axiom,  (! [A] :  ( (v2_ringcat1(A) &  (v3_ringcat1(A) & l1_ringcat1(A)) )  =>  (? [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  &  (? [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) )  &  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C))))) )  &  (m1_ringcat1(A, B, C) &  (A=g1_ringcat1(B, C, D) & v1_ringcat1(D, B, C)) ) ) ) ) ) ) ) ) ) ).
fof(d9_ringcat1, axiom,  (! [A] :  ( (v3_ringcat1(A) & l1_ringcat1(A))  =>  (! [B] :  ( (v3_ringcat1(B) & l1_ringcat1(B))  =>  (k1_ringcat1(A)=k2_ringcat1(B) =>  (! [C] :  ( (v2_ringcat1(C) &  (v3_ringcat1(C) & l1_ringcat1(C)) )  =>  (C=k6_ringcat1(A, B) <=>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v3_group_1(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) )  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v13_algstr_0(E) &  (v2_rlvect_1(E) &  (v3_rlvect_1(E) &  (v4_rlvect_1(E) &  (v3_group_1(E) &  (v4_vectsp_1(E) &  (v5_vectsp_1(E) & l6_algstr_0(E)) ) ) ) ) ) ) )  =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v13_algstr_0(F) &  (v2_rlvect_1(F) &  (v3_rlvect_1(F) &  (v4_rlvect_1(F) &  (v3_group_1(F) &  (v4_vectsp_1(F) &  (v5_vectsp_1(F) & l6_algstr_0(F)) ) ) ) ) ) ) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(E), u1_struct_0(F)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E), u1_struct_0(F))))) )  =>  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, u1_struct_0(D), u1_struct_0(E)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(E))))) )  =>  ( (g1_ringcat1(u1_ringcat1(A), u2_ringcat1(A), u3_ringcat1(A))=g1_ringcat1(E, F, G) & g1_ringcat1(u1_ringcat1(B), u2_ringcat1(B), u3_ringcat1(B))=g1_ringcat1(D, E, H))  => C=g1_ringcat1(D, F, k1_partfun1(u1_struct_0(D), u1_struct_0(E), u1_struct_0(E), u1_struct_0(F), H, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_ringcat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) )  =>  ( (r1_ringcat1(A, B) & r1_ringcat1(B, C))  => r1_ringcat1(A, C)) ) ) ) ) ) ) ).
fof(t6_ringcat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) )  =>  (! [D] :  (m1_ringcat1(D, B, C) =>  (! [E] :  (m1_ringcat1(E, A, B) =>  ( (r1_ringcat1(A, B) & r1_ringcat1(B, C))  => m1_ringcat1(k6_ringcat1(D, E), A, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_ringcat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) )  =>  (! [D] :  (m1_ringcat1(D, B, C) =>  (! [E] :  (m1_ringcat1(E, A, B) =>  ( (r1_ringcat1(A, B) & r1_ringcat1(B, C))  => k7_ringcat1(A, B, C, D, E)=k6_ringcat1(D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_ringcat1, axiom,  (! [A] :  ( (v2_ringcat1(A) &  (v3_ringcat1(A) & l1_ringcat1(A)) )  =>  (! [B] :  ( (v2_ringcat1(B) &  (v3_ringcat1(B) & l1_ringcat1(B)) )  =>  ~ ( (k1_ringcat1(B)=k2_ringcat1(A) &  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v3_group_1(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) )  =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v13_algstr_0(E) &  (v2_rlvect_1(E) &  (v3_rlvect_1(E) &  (v4_rlvect_1(E) &  (v3_group_1(E) &  (v4_vectsp_1(E) &  (v5_vectsp_1(E) & l6_algstr_0(E)) ) ) ) ) ) ) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(C), u1_struct_0(D)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(D))))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(D), u1_struct_0(E)) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(E))))) )  =>  ~ ( (A=g1_ringcat1(C, D, F) &  (B=g1_ringcat1(D, E, G) & k6_ringcat1(B, A)=g1_ringcat1(C, E, k1_partfun1(u1_struct_0(C), u1_struct_0(D), u1_struct_0(D), u1_struct_0(E), F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_ringcat1, axiom,  (! [A] :  ( (v2_ringcat1(A) &  (v3_ringcat1(A) & l1_ringcat1(A)) )  =>  (! [B] :  ( (v2_ringcat1(B) &  (v3_ringcat1(B) & l1_ringcat1(B)) )  =>  (k1_ringcat1(B)=k2_ringcat1(A) =>  (k1_ringcat1(k6_ringcat1(B, A))=k1_ringcat1(A) & k2_ringcat1(k6_ringcat1(B, A))=k2_ringcat1(B)) ) ) ) ) ) ).
fof(t9_ringcat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v3_group_1(D) &  (v4_vectsp_1(D) &  (v5_vectsp_1(D) & l6_algstr_0(D)) ) ) ) ) ) ) )  =>  (! [E] :  (m1_ringcat1(E, A, B) =>  (! [F] :  (m1_ringcat1(F, B, C) =>  (! [G] :  (m1_ringcat1(G, C, D) =>  ( (r1_ringcat1(A, B) &  (r1_ringcat1(B, C) & r1_ringcat1(C, D)) )  => k6_ringcat1(G, k6_ringcat1(F, E))=k6_ringcat1(k6_ringcat1(G, F), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_ringcat1, axiom,  (! [A] :  ( (v2_ringcat1(A) &  (v3_ringcat1(A) & l1_ringcat1(A)) )  =>  (! [B] :  ( (v2_ringcat1(B) &  (v3_ringcat1(B) & l1_ringcat1(B)) )  =>  (! [C] :  ( (v2_ringcat1(C) &  (v3_ringcat1(C) & l1_ringcat1(C)) )  =>  ( (k1_ringcat1(C)=k2_ringcat1(B) & k1_ringcat1(B)=k2_ringcat1(A))  => k6_ringcat1(C, k6_ringcat1(B, A))=k6_ringcat1(k6_ringcat1(C, B), A)) ) ) ) ) ) ) ).
fof(t11_ringcat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (k1_ringcat1(k5_ringcat1(A))=A &  (k2_ringcat1(k5_ringcat1(A))=A &  ( (! [B] :  ( (v2_ringcat1(B) &  (v3_ringcat1(B) & l1_ringcat1(B)) )  =>  (k2_ringcat1(B)=A => k6_ringcat1(k5_ringcat1(A), B)=B) ) )  &  (! [B] :  ( (v2_ringcat1(B) &  (v3_ringcat1(B) & l1_ringcat1(B)) )  =>  (k1_ringcat1(B)=A => k6_ringcat1(B, k5_ringcat1(A))=B) ) ) ) ) ) ) ) ).
fof(d11_ringcat1, axiom,  (! [A] :  (v4_ringcat1(A) <=>  (! [B] :  (m1_subset_1(B, A) =>  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v36_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_ringcat1, axiom,  (! [A] :  (v5_ringcat1(A) <=>  (! [B] :  (r2_hidden(B, A) =>  (v2_ringcat1(B) &  (v3_ringcat1(B) & l1_ringcat1(B)) ) ) ) ) ) ).
fof(t12_ringcat1, axiom,  (! [A] :  ( (v2_ringcat1(A) &  (v3_ringcat1(A) & l1_ringcat1(A)) )  =>  ( ~ (v1_xboole_0(k1_tarski(A)))  & v5_ringcat1(k1_tarski(A))) ) ) ).
fof(d13_ringcat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v5_ringcat1(C))  =>  (m4_ringcat1(C, A, B) <=>  (! [D] :  (m3_ringcat1(D, C) => m1_ringcat1(D, A, B)) ) ) ) ) ) ) ) ) ).
fof(t13_ringcat1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) )  =>  (m4_ringcat1(A, B, C) <=>  (! [D] :  (m1_subset_1(D, A) => m1_ringcat1(D, B, C)) ) ) ) ) ) ) ) ) ).
fof(t14_ringcat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  (m1_ringcat1(C, A, B) => m4_ringcat1(k1_tarski(C), A, B)) ) ) ) ) ) ).
fof(d14_ringcat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (r1_ringcat1(A, B) =>  (! [C] :  (m4_ringcat1(C, A, B) =>  (C=k8_ringcat1(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=> m1_ringcat1(D, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(d15_ringcat1, axiom,  (! [A] :  (! [B] :  (r2_ringcat1(A, B) <=>  (? [C] :  (? [D] :  (? [E] :  (? [F] :  (? [G] :  (? [H] :  (A=k3_xtuple_0(k6_xtuple_0(C, D, E, F), G, H) &  (? [I] :  ( ( ~ (v2_struct_0(I))  &  (v13_algstr_0(I) &  (v36_algstr_0(I) &  (v2_rlvect_1(I) &  (v3_rlvect_1(I) &  (v4_rlvect_1(I) &  (v3_group_1(I) &  (v4_vectsp_1(I) &  (v5_vectsp_1(I) & l6_algstr_0(I)) ) ) ) ) ) ) ) )  &  (B=I &  (C=u1_struct_0(I) &  (D=u1_algstr_0(I) &  (E=k4_vectsp_1(I) &  (F=k4_struct_0(I) &  (G=u2_algstr_0(I) & H=k5_struct_0(I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_ringcat1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r2_ringcat1(A, B) & r2_ringcat1(A, C))  => B=C) ) ) ) ).
fof(t16_ringcat1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (? [B] :  (r2_hidden(B, A) & r2_ringcat1(B, k18_mod_2)) ) ) ) ).
fof(d16_ringcat1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  (B=k9_ringcat1(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  (? [D] :  (r2_tarski(D, A) & r2_ringcat1(D, C)) ) ) ) ) ) ) ) ).
fof(t17_ringcat1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  => r2_tarski(k18_mod_2, k9_ringcat1(A))) ) ).
fof(t18_ringcat1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  (m1_subset_1(B, k9_ringcat1(A)) =>  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v36_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_ringcat1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_ringcat1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v5_ringcat1(B))  =>  (B=k10_ringcat1(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  (? [D] :  (m2_ringcat1(D, A) &  (? [E] :  (m2_ringcat1(E, A) &  (r1_ringcat1(D, E) & m1_ringcat1(C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_ringcat1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_ringcat1(A))  =>  (! [B] :  (m2_ringcat1(B, A) => k13_ringcat1(A, B)=k5_ringcat1(B)) ) ) ) ).
fof(d20_ringcat1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_ringcat1(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k10_ringcat1(A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k10_ringcat1(A), A)))) )  =>  (B=k14_ringcat1(A) <=>  (! [C] :  (m3_ringcat1(C, k10_ringcat1(A)) => k3_funct_2(k10_ringcat1(A), A, B, C)=k11_ringcat1(A, C)) ) ) ) ) ) ) ).
fof(d21_ringcat1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_ringcat1(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k10_ringcat1(A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k10_ringcat1(A), A)))) )  =>  (B=k15_ringcat1(A) <=>  (! [C] :  (m3_ringcat1(C, k10_ringcat1(A)) => k3_funct_2(k10_ringcat1(A), A, B, C)=k12_ringcat1(A, C)) ) ) ) ) ) ) ).
fof(t19_ringcat1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_ringcat1(A))  =>  (! [B] :  (m3_ringcat1(B, k10_ringcat1(A)) =>  (! [C] :  (m3_ringcat1(C, k10_ringcat1(A)) =>  ~ ( (k11_ringcat1(A, B)=k12_ringcat1(A, C) &  (! [D] :  (m2_ringcat1(D, A) =>  (! [E] :  (m2_ringcat1(E, A) =>  (! [F] :  (m2_ringcat1(F, A) =>  ~ ( (r1_ringcat1(D, E) &  (r1_ringcat1(E, F) &  (m1_ringcat1(B, E, F) & m1_ringcat1(C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_ringcat1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_ringcat1(A))  =>  (! [B] :  (m3_ringcat1(B, k10_ringcat1(A)) =>  (! [C] :  (m3_ringcat1(C, k10_ringcat1(A)) =>  (k11_ringcat1(A, B)=k12_ringcat1(A, C) => r2_tarski(k6_ringcat1(B, C), k10_ringcat1(A))) ) ) ) ) ) ) ).
fof(d23_ringcat1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_ringcat1(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k10_ringcat1(A), k10_ringcat1(A)), k10_ringcat1(A)))))  =>  (B=k16_ringcat1(A) <=>  ( (! [C] :  (m3_ringcat1(C, k10_ringcat1(A)) =>  (! [D] :  (m3_ringcat1(D, k10_ringcat1(A)) =>  (r2_hidden(k4_tarski(C, D), k1_relset_1(k2_zfmisc_1(k10_ringcat1(A), k10_ringcat1(A)), B)) <=> k11_ringcat1(A, C)=k12_ringcat1(A, D)) ) ) ) )  &  (! [C] :  (m3_ringcat1(C, k10_ringcat1(A)) =>  (! [D] :  (m3_ringcat1(D, k10_ringcat1(A)) =>  (r2_hidden(k4_tarski(C, D), k1_relset_1(k2_zfmisc_1(k10_ringcat1(A), k10_ringcat1(A)), B)) => k1_binop_1(B, C, D)=k6_ringcat1(C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d24_ringcat1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  => k17_ringcat1(A)=g1_cat_1(k9_ringcat1(A), k10_ringcat1(k9_ringcat1(A)), k14_ringcat1(k9_ringcat1(A)), k15_ringcat1(k9_ringcat1(A)), k16_ringcat1(k9_ringcat1(A)))) ) ).
fof(t21_ringcat1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(k17_ringcat1(A))) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(k17_ringcat1(A))) =>  (r2_hidden(k4_tarski(C, B), k1_relset_1(k2_zfmisc_1(u4_struct_0(k17_ringcat1(A)), u4_struct_0(k17_ringcat1(A))), u1_cat_1(k17_ringcat1(A)))) <=> k3_graph_1(k17_ringcat1(A), C)=k4_graph_1(k17_ringcat1(A), B)) ) ) ) ) ) ) ).
fof(t22_ringcat1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(k17_ringcat1(A))) =>  (! [C] :  (m3_ringcat1(C, k10_ringcat1(k9_ringcat1(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k17_ringcat1(A))) =>  (! [E] :  (m2_ringcat1(E, k9_ringcat1(A)) =>  ( (v2_ringcat1(B) & m3_ringcat1(B, k10_ringcat1(k9_ringcat1(A))))  &  (m1_subset_1(C, u4_struct_0(k17_ringcat1(A))) &  ( (v36_algstr_0(D) & m2_ringcat1(D, k9_ringcat1(A)))  & m1_subset_1(E, u1_struct_0(k17_ringcat1(A)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_ringcat1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  (m1_subset_1(B, u4_struct_0(k17_ringcat1(A))) =>  (! [C] :  (m1_subset_1(C, u4_struct_0(k17_ringcat1(A))) =>  (! [D] :  (m3_ringcat1(D, k10_ringcat1(k9_ringcat1(A))) =>  (! [E] :  (m3_ringcat1(E, k10_ringcat1(k9_ringcat1(A))) =>  ( (B=D & C=E)  =>  ( (k3_graph_1(k17_ringcat1(A), C)=k4_graph_1(k17_ringcat1(A), B) => k11_ringcat1(k9_ringcat1(A), E)=k12_ringcat1(k9_ringcat1(A), D))  &  ( (k11_ringcat1(k9_ringcat1(A), E)=k12_ringcat1(k9_ringcat1(A), D) => k3_graph_1(k17_ringcat1(A), C)=k4_graph_1(k17_ringcat1(A), B))  &  ( (k3_graph_1(k17_ringcat1(A), C)=k4_graph_1(k17_ringcat1(A), B) => r2_hidden(k4_tarski(E, D), k1_relset_1(k2_zfmisc_1(k10_ringcat1(k9_ringcat1(A)), k10_ringcat1(k9_ringcat1(A))), k16_ringcat1(k9_ringcat1(A)))))  &  ( (r2_hidden(k4_tarski(E, D), k1_relset_1(k2_zfmisc_1(k10_ringcat1(k9_ringcat1(A)), k10_ringcat1(k9_ringcat1(A))), k16_ringcat1(k9_ringcat1(A)))) => k3_graph_1(k17_ringcat1(A), C)=k4_graph_1(k17_ringcat1(A), B))  &  ( (k3_graph_1(k17_ringcat1(A), C)=k4_graph_1(k17_ringcat1(A), B) => k1_cat_1(k17_ringcat1(A), B, C)=k6_ringcat1(E, D))  &  ( (k3_graph_1(k17_ringcat1(A), B)=k3_graph_1(k17_ringcat1(A), C) => k11_ringcat1(k9_ringcat1(A), D)=k11_ringcat1(k9_ringcat1(A), E))  &  ( (k11_ringcat1(k9_ringcat1(A), D)=k11_ringcat1(k9_ringcat1(A), E) => k3_graph_1(k17_ringcat1(A), B)=k3_graph_1(k17_ringcat1(A), C))  &  ( (k4_graph_1(k17_ringcat1(A), B)=k4_graph_1(k17_ringcat1(A), C) => k12_ringcat1(k9_ringcat1(A), D)=k12_ringcat1(k9_ringcat1(A), E))  &  (k12_ringcat1(k9_ringcat1(A), D)=k12_ringcat1(k9_ringcat1(A), E) => k4_graph_1(k17_ringcat1(A), B)=k4_graph_1(k17_ringcat1(A), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_ringcat1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k17_ringcat1(A))) =>  (! [C] :  (m2_ringcat1(C, k9_ringcat1(A)) =>  (B=C => k4_cat_1(k17_ringcat1(A), B)=k13_ringcat1(k9_ringcat1(A), C)) ) ) ) ) ) ) ).
fof(abstractness_v2_ringcat1, axiom,  (! [A] :  (l1_ringcat1(A) =>  (v2_ringcat1(A) => A=g1_ringcat1(u1_ringcat1(A), u2_ringcat1(A), u3_ringcat1(A))) ) ) ).
fof(existence_l1_ringcat1, axiom,  (? [A] : l1_ringcat1(A)) ).
fof(dt_g1_ringcat1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (v2_ringcat1(g1_ringcat1(A, B, C)) & l1_ringcat1(g1_ringcat1(A, B, C))) ) ) ).
fof(free_g1_ringcat1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))))) ) ) )  =>  (! [D, E, F] :  (g1_ringcat1(A, B, C)=g1_ringcat1(D, E, F) =>  (A=D &  (B=E & C=F) ) ) ) ) ) ).
fof(dt_u1_ringcat1, axiom,  (! [A] :  (l1_ringcat1(A) =>  ( ~ (v2_struct_0(u1_ringcat1(A)))  &  (v13_algstr_0(u1_ringcat1(A)) &  (v2_rlvect_1(u1_ringcat1(A)) &  (v3_rlvect_1(u1_ringcat1(A)) &  (v4_rlvect_1(u1_ringcat1(A)) &  (v3_group_1(u1_ringcat1(A)) &  (v4_vectsp_1(u1_ringcat1(A)) &  (v5_vectsp_1(u1_ringcat1(A)) & l6_algstr_0(u1_ringcat1(A))) ) ) ) ) ) ) ) ) ) ).
fof(dt_u2_ringcat1, axiom,  (! [A] :  (l1_ringcat1(A) =>  ( ~ (v2_struct_0(u2_ringcat1(A)))  &  (v13_algstr_0(u2_ringcat1(A)) &  (v2_rlvect_1(u2_ringcat1(A)) &  (v3_rlvect_1(u2_ringcat1(A)) &  (v4_rlvect_1(u2_ringcat1(A)) &  (v3_group_1(u2_ringcat1(A)) &  (v4_vectsp_1(u2_ringcat1(A)) &  (v5_vectsp_1(u2_ringcat1(A)) & l6_algstr_0(u2_ringcat1(A))) ) ) ) ) ) ) ) ) ) ).
fof(dt_u3_ringcat1, axiom,  (! [A] :  (l1_ringcat1(A) =>  (v1_funct_1(u3_ringcat1(A)) &  (v1_funct_2(u3_ringcat1(A), u1_struct_0(u1_ringcat1(A)), u1_struct_0(u2_ringcat1(A))) & m1_subset_1(u3_ringcat1(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(u1_ringcat1(A)), u1_struct_0(u2_ringcat1(A)))))) ) ) ) ).
fof(dt_k1_ringcat1, axiom,  (! [A] :  (l1_ringcat1(A) =>  ( ~ (v2_struct_0(k1_ringcat1(A)))  &  (v13_algstr_0(k1_ringcat1(A)) &  (v2_rlvect_1(k1_ringcat1(A)) &  (v3_rlvect_1(k1_ringcat1(A)) &  (v4_rlvect_1(k1_ringcat1(A)) &  (v3_group_1(k1_ringcat1(A)) &  (v4_vectsp_1(k1_ringcat1(A)) &  (v5_vectsp_1(k1_ringcat1(A)) & l6_algstr_0(k1_ringcat1(A))) ) ) ) ) ) ) ) ) ) ).
fof(dt_k2_ringcat1, axiom,  (! [A] :  (l1_ringcat1(A) =>  ( ~ (v2_struct_0(k2_ringcat1(A)))  &  (v13_algstr_0(k2_ringcat1(A)) &  (v2_rlvect_1(k2_ringcat1(A)) &  (v3_rlvect_1(k2_ringcat1(A)) &  (v4_rlvect_1(k2_ringcat1(A)) &  (v3_group_1(k2_ringcat1(A)) &  (v4_vectsp_1(k2_ringcat1(A)) &  (v5_vectsp_1(k2_ringcat1(A)) & l6_algstr_0(k2_ringcat1(A))) ) ) ) ) ) ) ) ) ) ).
fof(dt_k3_ringcat1, axiom,  (! [A] :  (l1_ringcat1(A) =>  (v1_funct_1(k3_ringcat1(A)) &  (v1_funct_2(k3_ringcat1(A), u1_struct_0(u1_ringcat1(A)), u1_struct_0(u2_ringcat1(A))) & m1_subset_1(k3_ringcat1(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(u1_ringcat1(A)), u1_struct_0(u2_ringcat1(A)))))) ) ) ) ).
fof(dt_k4_ringcat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (v3_ringcat1(k4_ringcat1(A)) & l1_ringcat1(k4_ringcat1(A))) ) ) ).
fof(reflexivity_r1_ringcat1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  => r1_ringcat1(A, A)) ) ).
fof(dt_m1_ringcat1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_ringcat1(C, A, B) =>  (v2_ringcat1(C) &  (v3_ringcat1(C) & l1_ringcat1(C)) ) ) ) ) ) ).
fof(existence_m1_ringcat1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (? [C] : m1_ringcat1(C, A, B)) ) ) ).
fof(dt_k5_ringcat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (v2_ringcat1(k5_ringcat1(A)) & m1_ringcat1(k5_ringcat1(A), A, A)) ) ) ).
fof(redefinition_k5_ringcat1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  => k5_ringcat1(A)=k4_ringcat1(A)) ) ).
fof(dt_k6_ringcat1, axiom,  (! [A, B] :  ( ( (v3_ringcat1(A) & l1_ringcat1(A))  &  (v3_ringcat1(B) & l1_ringcat1(B)) )  =>  (v2_ringcat1(k6_ringcat1(A, B)) &  (v3_ringcat1(k6_ringcat1(A, B)) & l1_ringcat1(k6_ringcat1(A, B))) ) ) ) ).
fof(dt_k7_ringcat1, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v3_group_1(C) &  (v4_vectsp_1(C) &  (v5_vectsp_1(C) & l6_algstr_0(C)) ) ) ) ) ) ) )  &  (m1_ringcat1(D, B, C) & m1_ringcat1(E, A, B)) ) ) )  =>  (v2_ringcat1(k7_ringcat1(A, B, C, D, E)) & m1_ringcat1(k7_ringcat1(A, B, C, D, E), A, C)) ) ) ).
fof(dt_m2_ringcat1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_ringcat1(A))  =>  (! [B] :  (m2_ringcat1(B, A) =>  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(existence_m2_ringcat1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_ringcat1(A))  =>  (? [B] : m2_ringcat1(B, A)) ) ) ).
fof(redefinition_m2_ringcat1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_ringcat1(A))  =>  (! [B] :  (m2_ringcat1(B, A) <=> m1_subset_1(B, A)) ) ) ) ).
fof(dt_m3_ringcat1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v5_ringcat1(A))  =>  (! [B] :  (m3_ringcat1(B, A) =>  (v3_ringcat1(B) & l1_ringcat1(B)) ) ) ) ) ).
fof(existence_m3_ringcat1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v5_ringcat1(A))  =>  (? [B] : m3_ringcat1(B, A)) ) ) ).
fof(redefinition_m3_ringcat1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v5_ringcat1(A))  =>  (! [B] :  (m3_ringcat1(B, A) <=> m1_subset_1(B, A)) ) ) ) ).
fof(dt_m4_ringcat1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m4_ringcat1(C, A, B) =>  ( ~ (v1_xboole_0(C))  & v5_ringcat1(C)) ) ) ) ) ).
fof(existence_m4_ringcat1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  =>  (? [C] : m4_ringcat1(C, A, B)) ) ) ).
fof(dt_k8_ringcat1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) )  => m4_ringcat1(k8_ringcat1(A, B), A, B)) ) ).
fof(dt_m5_ringcat1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  & m4_ringcat1(C, A, B)) )  =>  (! [D] :  (m5_ringcat1(D, A, B, C) => m1_ringcat1(D, A, B)) ) ) ) ).
fof(existence_m5_ringcat1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  & m4_ringcat1(C, A, B)) )  =>  (? [D] : m5_ringcat1(D, A, B, C)) ) ) ).
fof(redefinition_m5_ringcat1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  & m4_ringcat1(C, A, B)) )  =>  (! [D] :  (m5_ringcat1(D, A, B, C) <=> m1_subset_1(D, C)) ) ) ) ).
fof(dt_k10_ringcat1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_ringcat1(A))  =>  ( ~ (v1_xboole_0(k10_ringcat1(A)))  & v5_ringcat1(k10_ringcat1(A))) ) ) ).
fof(dt_k11_ringcat1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v4_ringcat1(A))  & m1_subset_1(B, k10_ringcat1(A)))  => m2_ringcat1(k11_ringcat1(A, B), A)) ) ).
fof(redefinition_k11_ringcat1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v4_ringcat1(A))  & m1_subset_1(B, k10_ringcat1(A)))  => k11_ringcat1(A, B)=k1_ringcat1(B)) ) ).
fof(dt_k12_ringcat1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v4_ringcat1(A))  & m1_subset_1(B, k10_ringcat1(A)))  => m2_ringcat1(k12_ringcat1(A, B), A)) ) ).
fof(redefinition_k12_ringcat1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v4_ringcat1(A))  & m1_subset_1(B, k10_ringcat1(A)))  => k12_ringcat1(A, B)=k2_ringcat1(B)) ) ).
fof(dt_k13_ringcat1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v4_ringcat1(A))  & m1_subset_1(B, A))  =>  (v2_ringcat1(k13_ringcat1(A, B)) & m3_ringcat1(k13_ringcat1(A, B), k10_ringcat1(A))) ) ) ).
fof(dt_k14_ringcat1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_ringcat1(A))  =>  (v1_funct_1(k14_ringcat1(A)) &  (v1_funct_2(k14_ringcat1(A), k10_ringcat1(A), A) & m1_subset_1(k14_ringcat1(A), k1_zfmisc_1(k2_zfmisc_1(k10_ringcat1(A), A)))) ) ) ) ).
fof(dt_k15_ringcat1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_ringcat1(A))  =>  (v1_funct_1(k15_ringcat1(A)) &  (v1_funct_2(k15_ringcat1(A), k10_ringcat1(A), A) & m1_subset_1(k15_ringcat1(A), k1_zfmisc_1(k2_zfmisc_1(k10_ringcat1(A), A)))) ) ) ) ).
fof(dt_k16_ringcat1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_ringcat1(A))  =>  (v1_funct_1(k16_ringcat1(A)) & m1_subset_1(k16_ringcat1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k10_ringcat1(A), k10_ringcat1(A)), k10_ringcat1(A))))) ) ) ).
fof(dt_k17_ringcat1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  => l1_cat_1(k17_ringcat1(A))) ) ).
fof(fc1_rlaffin1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  &  (v1_xboole_0(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (v1_xboole_0(k3_convex1(A, B)) & v1_convex1(k3_convex1(A, B), A)) ) ) ).
fof(fc2_rlaffin1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  ( ~ (v1_xboole_0(k3_convex1(A, B)))  & v1_convex1(k3_convex1(A, B), A)) ) ) ).
fof(cc1_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_xboole_0(B) => v1_rlaffin1(B, A)) ) ) ) ) ).
fof(fc3_rlaffin1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => v1_rlaffin1(k1_tarski(B), A)) ) ).
fof(fc4_rlaffin1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => v1_rlaffin1(k2_tarski(B, C), A)) ) ).
fof(rc1_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  (v3_card_1(B, 1) & v1_rlaffin1(B, A)) ) ) ) ) ).
fof(cc2_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_rlvect_3(B, A) => v1_rlaffin1(B, A)) ) ) ) ) ).
fof(fc5_rlaffin1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  ( (v1_rlaffin1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  & m1_subset_1(C, u1_struct_0(A))) )  => v1_rlaffin1(k5_rusub_4(A, B, C), A)) ) ).
fof(fc6_rlaffin1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  ( (v1_rlaffin1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  & v1_xreal_0(C)) )  => v1_rlaffin1(k1_convex1(A, B, C), A)) ) ).
fof(cc3_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (v1_xboole_0(B) => v2_rlaffin1(B, A)) ) ) ) ) ).
fof(fc7_rlaffin1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (v1_rlaffin1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v2_rlaffin1(k1_tarski(B), A)) ) ).
fof(rc2_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) &  (v1_xboole_0(B) & v2_rlaffin1(B, A)) ) ) ) ) ).
fof(rc3_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) &  ( ~ (v1_xboole_0(B))  & v2_rlaffin1(B, A)) ) ) ) ) ).
fof(fc8_rlaffin1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => v2_rusub_4(k4_rlaffin1(A, B), A)) ) ).
fof(fc9_rlaffin1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  &  (v1_xboole_0(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v1_xboole_0(k4_rlaffin1(A, B))) ) ).
fof(fc10_rlaffin1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  ~ (v1_xboole_0(k4_rlaffin1(A, B))) ) ) ).
fof(t1_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k3_convex1(A, k6_domain_1(u1_struct_0(A), B))=k6_domain_1(u1_struct_0(A), B)) ) ) ) ).
fof(t2_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(B, k3_convex1(A, B))) ) ) ) ).
fof(t3_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(B, C) => r1_tarski(k3_convex1(A, B), k3_convex1(A, C))) ) ) ) ) ) ) ).
fof(t4_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(C, k3_convex1(A, B)) => k3_convex1(A, B)=k3_convex1(A, k4_subset_1(u1_struct_0(A), B, C))) ) ) ) ) ) ) ).
fof(t5_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) & l2_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k5_rusub_4(A, B, k1_algstr_0(A, C, D))=k5_rusub_4(A, k5_rusub_4(A, B, D), C)) ) ) ) ) ) ) ) ).
fof(t6_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k5_rusub_4(A, B, k4_struct_0(A))=B) ) ) ) ).
fof(t7_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k1_card_1(C)=k1_card_1(k5_rusub_4(A, C, B))) ) ) ) ) ) ).
fof(t8_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_rusub_4(A, k1_struct_0(A), B)=k1_struct_0(A)) ) ) ) ).
fof(t9_rlaffin1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_rlvect_1(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (r1_tarski(C, D) => r1_tarski(k1_convex1(B, C, A), k1_convex1(B, D, A))) ) ) ) ) ) ) ) ) ).
fof(t10_rlaffin1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) & l1_rlvect_1(C)) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(C))) => k1_convex1(C, D, k3_xcmplx_0(A, B))=k1_convex1(C, k1_convex1(C, D, B), A)) ) ) ) ) ) ) ) ).
fof(t11_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k1_convex1(A, B, 1)=B) ) ) ) ).
fof(t12_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k1_convex1(A, B, k5_numbers), k6_domain_1(u1_struct_0(A), k4_struct_0(A)))) ) ) ) ).
fof(t13_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (! [C] :  (m1_rlvect_2(C, A) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) => k4_finseqop(u1_struct_0(A), k1_numbers, D, k7_rlvect_2(A, B, C))=k4_rvsum_1(k4_finseqop(u1_struct_0(A), k1_numbers, D, B), k4_finseqop(u1_struct_0(A), k1_numbers, D, C))) ) ) ) ) ) ) ) ).
fof(t14_rlaffin1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_rlvect_2(C, B) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(B)) => k4_finseqop(u1_struct_0(B), k1_numbers, D, k8_rlvect_2(B, A, C))=k10_rvsum_1(k4_finseqop(u1_struct_0(B), k1_numbers, D, C), A)) ) ) ) ) ) ) ) ).
fof(t15_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v1_rlvect_3(B, A) &  (r1_tarski(B, C) &  (k1_rlvect_3(A, C)=A &  (! [D] :  ( (v1_rlvect_3(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( (r1_tarski(B, D) &  (r1_tarski(D, C) & k1_rlvect_3(A, D)=A) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_rlvect_2(D, A) =>  (D=k1_rlaffin1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k1_numbers, D, E)=k3_funct_2(u1_struct_0(A), k1_numbers, B, k5_algstr_0(A, E, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_rlvect_2(A, k1_rlaffin1(A, B, C))=k5_rusub_4(A, k3_rlvect_2(A, B), C)) ) ) ) ) ) ).
fof(t17_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (! [C] :  (m1_rlvect_2(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_rlvect_2(A, k1_rlaffin1(A, k7_rlvect_2(A, B, C), D), k7_rlvect_2(A, k1_rlaffin1(A, B, D), k1_rlaffin1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t18_rlaffin1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_rlvect_2(D, B) => r1_rlvect_2(B, k1_rlaffin1(B, k8_rlvect_2(B, A, D), C), k8_rlvect_2(B, A, k1_rlaffin1(B, D, C)))) ) ) ) ) ) ) ) ).
fof(t19_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_rlvect_2(A, k1_rlaffin1(A, k1_rlaffin1(A, B, D), C), k1_rlaffin1(A, B, k3_rlvect_1(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t20_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_rlvect_2(A, k1_rlaffin1(A, k4_rlvect_2(A), B), k4_rlvect_2(A))) ) ) ) ).
fof(t21_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) => r1_rlvect_2(A, k1_rlaffin1(A, B, k4_struct_0(A)), B)) ) ) ) ).
fof(d2_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_rlvect_2(D, A) =>  ( ( ~ (C=k5_numbers)  =>  (D=k2_rlaffin1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k1_numbers, D, E)=k3_funct_2(u1_struct_0(A), k1_numbers, B, k1_rlvect_1(A, E, k5_xcmplx_0(C)))) ) ) )  &  (C=k5_numbers =>  (D=k2_rlaffin1(A, B, C) <=> r1_rlvect_2(A, D, k4_rlvect_2(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_rlaffin1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) )  =>  (! [C] :  (m1_rlvect_2(C, B) => r1_tarski(k3_rlvect_2(B, k2_rlaffin1(B, C, A)), k1_convex1(B, k3_rlvect_2(B, C), A))) ) ) ) ) ) ).
fof(t23_rlaffin1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) )  =>  (! [C] :  (m1_rlvect_2(C, B) =>  ( ~ (A=k5_numbers)  => k3_rlvect_2(B, k2_rlaffin1(B, C, A))=k1_convex1(B, k3_rlvect_2(B, C), A)) ) ) ) ) ) ) ).
fof(t24_rlaffin1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) )  =>  (! [C] :  (m1_rlvect_2(C, B) =>  (! [D] :  (m1_rlvect_2(D, B) => r1_rlvect_2(B, k2_rlaffin1(B, k7_rlvect_2(B, C, D), A), k7_rlvect_2(B, k2_rlaffin1(B, C, A), k2_rlaffin1(B, D, A)))) ) ) ) ) ) ) ) ).
fof(t25_rlaffin1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) & l1_rlvect_1(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_rlvect_2(D, C) => r1_rlvect_2(C, k8_rlvect_2(C, A, k2_rlaffin1(C, D, B)), k2_rlaffin1(C, k8_rlvect_2(C, A, D), B))) ) ) ) ) ) ) ) ).
fof(t26_rlaffin1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) )  => r1_rlvect_2(B, k2_rlaffin1(B, k4_rlvect_2(B), A), k4_rlvect_2(B))) ) ) ) ).
fof(t27_rlaffin1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) & l1_rlvect_1(C)) ) ) ) )  =>  (! [D] :  (m1_rlvect_2(D, C) => r1_rlvect_2(C, k2_rlaffin1(C, k2_rlaffin1(C, D, B), A), k2_rlaffin1(C, D, k3_xcmplx_0(A, B)))) ) ) ) ) ) ) ) ).
fof(t28_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) => r1_rlvect_2(A, k2_rlaffin1(A, B, 1), B)) ) ) ) ).
fof(d3_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (! [C] :  (v1_xreal_0(C) =>  (C=k3_rlaffin1(A, B) <=>  (? [D] :  (m2_finseq_1(D, u1_struct_0(A)) &  (v2_funct_1(D) &  (k10_xtuple_0(D)=k3_rlvect_2(A, B) & C=k18_rvsum_1(k4_finseqop(u1_struct_0(A), k1_numbers, D, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (r1_xboole_0(k3_rlvect_2(A, B), k10_xtuple_0(C)) => k18_rvsum_1(k4_finseqop(u1_struct_0(A), k1_numbers, C, B))=k5_numbers) ) ) ) ) ) ) ).
fof(t30_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  ( (v2_funct_1(C) & r1_tarski(k3_rlvect_2(A, B), k10_xtuple_0(C)))  => k3_rlaffin1(A, B)=k18_rvsum_1(k4_finseqop(u1_struct_0(A), k1_numbers, C, B))) ) ) ) ) ) ) ).
fof(t31_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  => k3_rlaffin1(A, k4_rlvect_2(A))=k5_numbers) ) ).
fof(t32_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_tarski(k3_rlvect_2(A, B), k6_domain_1(u1_struct_0(A), C)) => k3_rlaffin1(A, B)=k3_funct_2(u1_struct_0(A), k1_numbers, B, C)) ) ) ) ) ) ) ).
fof(t33_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_tarski(k3_rlvect_2(A, B), k7_domain_1(u1_struct_0(A), C, D)) =>  (C=D | k3_rlaffin1(A, B)=k3_real_1(k3_funct_2(u1_struct_0(A), k1_numbers, B, C), k3_funct_2(u1_struct_0(A), k1_numbers, B, D))) ) ) ) ) ) ) ) ) ) ).
fof(t34_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (! [C] :  (m1_rlvect_2(C, A) => k3_rlaffin1(A, k7_rlvect_2(A, B, C))=k2_xcmplx_0(k3_rlaffin1(A, B), k3_rlaffin1(A, C))) ) ) ) ) ) ).
fof(t35_rlaffin1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_rlvect_2(C, B) => k3_rlaffin1(B, k8_rlvect_2(B, A, C))=k3_xcmplx_0(A, k3_rlaffin1(B, C))) ) ) ) ) ) ).
fof(t36_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (! [C] :  (m1_rlvect_2(C, A) => k3_rlaffin1(A, k10_rlvect_2(A, B, C))=k6_xcmplx_0(k3_rlaffin1(A, B), k3_rlaffin1(A, C))) ) ) ) ) ) ).
fof(t37_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_rlaffin1(A, B)=k3_rlaffin1(A, k1_rlaffin1(A, B, C))) ) ) ) ) ) ).
fof(t38_rlaffin1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) )  =>  (! [C] :  (m1_rlvect_2(C, B) =>  ( ~ (A=k5_numbers)  => k3_rlaffin1(B, C)=k3_rlaffin1(B, k2_rlaffin1(B, C, A))) ) ) ) ) ) ) ).
fof(t39_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_rlvect_2(C, A) => k6_rlvect_2(A, k1_rlaffin1(A, C, B))=k3_rlvect_1(A, k1_rlvect_1(A, B, k3_rlaffin1(A, C)), k6_rlvect_2(A, C))) ) ) ) ) ) ).
fof(t40_rlaffin1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_rlvect_2(C, B) => k6_rlvect_2(B, k2_rlaffin1(B, C, A))=k1_rlvect_1(B, k6_rlvect_2(B, C), A)) ) ) ) ) ) ).
fof(d4_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_rlaffin1(B, A) <=>  ~ ( ( ~ (v1_xboole_0(B))  &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r2_tarski(C, B) & v1_rlvect_3(k7_subset_1(u1_struct_0(A), k5_rusub_4(A, B, k4_algstr_0(A, C)), k6_domain_1(u1_struct_0(A), k4_struct_0(A))), A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_rlaffin1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) => v1_rlvect_3(k7_subset_1(u1_struct_0(A), k5_rusub_4(A, B, k4_algstr_0(A, C)), k6_domain_1(u1_struct_0(A), k4_struct_0(A))), A)) ) ) ) ) ) ) ) ).
fof(t42_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_rlaffin1(B, A) <=>  (! [C] :  (m2_rlvect_2(C, A, B) =>  ( (k6_rlvect_2(A, C)=k4_struct_0(A) & k3_rlaffin1(A, C)=k5_numbers)  => k3_rlvect_2(A, C)=k1_xboole_0) ) ) ) ) ) ) ) ).
fof(t43_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_rlaffin1(B, A) & r1_tarski(C, B))  => v1_rlaffin1(C, A)) ) ) ) ) ) ) ).
fof(t44_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_rlaffin1(k5_rusub_4(A, C, B), A) => v1_rlaffin1(C, A)) ) ) ) ) ) ) ).
fof(t45_rlaffin1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (v1_rlaffin1(k1_convex1(B, C, A), B) =>  (A=k5_numbers | v1_rlaffin1(C, B)) ) ) ) ) ) ) ) ).
fof(t46_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(k4_struct_0(A), B) =>  (v1_rlaffin1(B, A) <=> v1_rlvect_3(k7_subset_1(u1_struct_0(A), B, k6_domain_1(u1_struct_0(A), k4_struct_0(A))), A)) ) ) ) ) ) ).
fof(d5_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (v2_rlaffin1(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(C, B) => v1_rlaffin1(C, A)) ) ) ) ) ) ) ) ).
fof(t47_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ( (v2_rlaffin1(B, A) & v2_rlaffin1(C, A))  => v2_rlaffin1(k4_subset_1(k1_zfmisc_1(u1_struct_0(A)), B, C), A)) ) ) ) ) ) ) ).
fof(t48_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ( (r1_tarski(B, C) & v2_rlaffin1(C, A))  => v2_rlaffin1(B, A)) ) ) ) ) ) ) ).
fof(t49_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(B, k4_rlaffin1(A, B))) ) ) ) ).
fof(t50_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  ( (v2_rusub_4(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => B=k4_rlaffin1(A, B)) ) ) ) ).
fof(t51_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r1_tarski(B, C) & v2_rusub_4(C, A))  => r1_tarski(k4_rlaffin1(A, B), C)) ) ) ) ) ) ) ).
fof(t52_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(B, C) => r1_tarski(k4_rlaffin1(A, B), k4_rlaffin1(A, C))) ) ) ) ) ) ) ).
fof(t53_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k4_rlaffin1(A, k5_rusub_4(A, C, B))=k5_rusub_4(A, k4_rlaffin1(A, C), B)) ) ) ) ) ) ).
fof(t54_rlaffin1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (v2_rusub_4(C, B) => v2_rusub_4(k1_convex1(B, C, A), B)) ) ) ) ) ) ) ).
fof(t55_rlaffin1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  ( ~ (A=k5_numbers)  => k4_rlaffin1(B, k1_convex1(B, C, A))=k1_convex1(B, k4_rlaffin1(B, C), A)) ) ) ) ) ) ) ).
fof(t56_rlaffin1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) => k4_rlaffin1(B, k1_convex1(B, C, A))=k1_convex1(B, k4_rlaffin1(B, C), A)) ) ) ) ) ) ).
fof(t57_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(B, k4_rlaffin1(A, C)) => k4_rlaffin1(A, C)=k5_rusub_4(A, k3_rusub_4(A, k1_rlvect_3(A, k5_rusub_4(A, C, k4_algstr_0(A, B)))), B)) ) ) ) ) ) ) ).
fof(t58_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_rlaffin1(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r1_tarski(C, B) & k4_rlaffin1(A, B)=k4_rlaffin1(A, C))  => B=C) ) ) ) ) ) ) ) ).
fof(t60_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v1_rlaffin1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( (r1_tarski(C, B) &  (! [D] :  ( (v1_rlaffin1(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( (r1_tarski(C, D) &  (r1_tarski(D, B) & k4_rlaffin1(A, D)=k4_rlaffin1(A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  ( (v1_rlaffin1(B, A) &  (k4_rlaffin1(A, B)=k4_rlaffin1(A, C) & r1_xxreal_0(k4_card_1(C), k4_card_1(B))) )  => v1_rlaffin1(C, A)) ) ) ) ) ) ) ).
fof(t62_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (v2_convex1(B, A) <=>  (k3_rlaffin1(A, B)=1 &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_xxreal_0(k5_numbers, k3_funct_2(u1_struct_0(A), k1_numbers, B, C))) ) ) ) ) ) ) ) ).
fof(t63_rlaffin1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_rlvect_2(C, B) =>  (v2_convex1(C, B) => r1_xxreal_0(k1_funct_1(C, A), 1)) ) ) ) ) ) ).
fof(t64_rlaffin1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_rlvect_2(C, B) =>  ( (v2_convex1(C, B) & k1_funct_1(C, A)=1)  => k3_rlvect_2(B, C)=k1_tarski(A)) ) ) ) ) ) ).
fof(t65_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k3_convex1(A, B), k4_rlaffin1(A, B))) ) ) ) ).
fof(t66_rlaffin1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  ( (r2_tarski(A, k3_convex1(B, C)) & v1_convex1(k7_subset_1(u1_struct_0(B), k3_convex1(B, C), k1_tarski(A)), B))  => r2_tarski(A, C)) ) ) ) ) ) ).
fof(t67_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k4_rlaffin1(A, k3_convex1(A, B))=k4_rlaffin1(A, B)) ) ) ) ).
fof(t68_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(k3_convex1(A, B), k3_convex1(A, C)) => r1_tarski(k4_rlaffin1(A, B), k4_rlaffin1(A, C))) ) ) ) ) ) ) ).
fof(t69_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(B, k4_rlaffin1(A, C)) => k4_rlaffin1(A, k4_subset_1(u1_struct_0(A), B, C))=k4_rlaffin1(A, C)) ) ) ) ) ) ) ).
fof(d7_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_rlaffin1(B, A) =>  (! [C] :  (r2_hidden(C, k4_rlaffin1(A, B)) =>  (! [D] :  (m2_rlvect_2(D, A, B) =>  (D=k5_rlaffin1(A, B, C) <=>  (k6_rlvect_2(A, D)=C & k3_rlaffin1(A, D)=1) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_rlaffin1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_rlaffin1(E, B) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))))  =>  ( (r2_tarski(C, k4_rlaffin1(B, E)) & r2_tarski(D, k4_rlaffin1(B, E)))  => r1_rlvect_2(B, k5_rlaffin1(B, E, k3_rlvect_1(B, k1_rlvect_1(B, C, k6_xcmplx_0(1, A)), k1_rlvect_1(B, D, A))), k7_rlvect_2(B, k8_rlvect_2(B, k6_xcmplx_0(1, A), k5_rlaffin1(B, E, C)), k8_rlvect_2(B, A, k5_rlaffin1(B, E, D))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t71_rlaffin1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v1_rlaffin1(D, B) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_tarski(A, k3_convex1(B, D)) =>  (v2_convex1(k5_rlaffin1(B, D, A), B) &  (r1_xxreal_0(k5_numbers, k3_funct_2(u1_struct_0(B), k1_numbers, k5_rlaffin1(B, D, A), C)) & r1_xxreal_0(k3_funct_2(u1_struct_0(B), k1_numbers, k5_rlaffin1(B, D, A), C), 1)) ) ) ) ) ) ) ) ) ) ).
fof(t72_rlaffin1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) & l1_rlvect_1(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_rlaffin1(D, C) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(C))))  =>  (r2_tarski(A, k3_convex1(C, D)) =>  (k1_funct_1(k5_rlaffin1(C, D, A), B)=1 <=>  (A=B & r2_tarski(A, D)) ) ) ) ) ) ) ) ) ).
fof(t73_rlaffin1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_rlaffin1(C, B) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  ( (r2_tarski(A, k4_rlaffin1(B, C)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r2_tarski(D, C) => r1_xxreal_0(k5_numbers, k3_funct_2(u1_struct_0(B), k1_numbers, k5_rlaffin1(B, C, A), D))) ) ) )  => r2_tarski(A, k3_convex1(B, C))) ) ) ) ) ) ).
fof(t74_rlaffin1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_rlaffin1(C, B) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_tarski(A, C) => v1_convex1(k7_subset_1(u1_struct_0(B), k3_convex1(B, C), k1_tarski(A)), B)) ) ) ) ) ) ).
fof(t75_rlaffin1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_rlaffin1(C, B) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  ( (r2_tarski(A, k4_rlaffin1(B, C)) &  (! [E] :  (r2_tarski(E, D) => k1_funct_1(k5_rlaffin1(B, C, A), E)=k5_numbers) ) )  =>  (r2_tarski(A, k4_rlaffin1(B, k7_subset_1(u1_struct_0(B), C, D))) & r1_rlvect_2(B, k5_rlaffin1(B, C, A), k5_rlaffin1(B, k7_subset_1(u1_struct_0(B), C, D), A))) ) ) ) ) ) ) ) ) ).
fof(t76_rlaffin1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_rlaffin1(C, B) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  ( (r2_tarski(A, k3_convex1(B, C)) &  (! [E] :  (r2_tarski(E, D) => k1_funct_1(k5_rlaffin1(B, C, A), E)=k5_numbers) ) )  => r2_tarski(A, k3_convex1(B, k7_subset_1(u1_struct_0(B), C, D)))) ) ) ) ) ) ) ) ).
fof(t77_rlaffin1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  ( (v1_rlaffin1(D, B) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))))  =>  ( (r1_tarski(C, D) & r2_tarski(A, k4_rlaffin1(B, C)))  => r1_rlvect_2(B, k5_rlaffin1(B, C, A), k5_rlaffin1(B, D, A))) ) ) ) ) ) ) ) ).
fof(t78_rlaffin1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) & l1_rlvect_1(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(C))) =>  ( (r2_tarski(D, k4_rlaffin1(C, F)) &  (r2_tarski(E, k4_rlaffin1(C, F)) & k2_xcmplx_0(A, B)=1) )  => r2_tarski(k3_rlvect_1(C, k1_rlvect_1(C, D, A), k1_rlvect_1(C, E, B)), k4_rlaffin1(C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t79_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  ( (v1_rlaffin1(B, A) & r1_tarski(k4_rlaffin1(A, B), k4_rlaffin1(A, C)))  => r1_xxreal_0(k4_card_1(B), k4_card_1(C))) ) ) ) ) ) ) ).
fof(t80_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  ( (v1_rlaffin1(B, A) &  (r1_tarski(k4_rlaffin1(A, B), k4_rlaffin1(A, C)) & k4_card_1(B)=k4_card_1(C)) )  => v1_rlaffin1(C, A)) ) ) ) ) ) ) ).
fof(t81_rlaffin1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) & l1_rlvect_1(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_rlvect_2(E, C) =>  (! [F] :  (m1_rlvect_2(F, C) =>  ( ~ (k3_funct_2(u1_struct_0(C), k1_numbers, E, D)=k3_funct_2(u1_struct_0(C), k1_numbers, F, D))  =>  (k3_funct_2(u1_struct_0(C), k1_numbers, k7_rlvect_2(C, k8_rlvect_2(C, A, E), k8_rlvect_2(C, k6_xcmplx_0(1, A), F)), D)=B <=> A=k7_xcmplx_0(k6_xcmplx_0(k3_funct_2(u1_struct_0(C), k1_numbers, F, D), B), k5_real_1(k3_funct_2(u1_struct_0(C), k1_numbers, F, D), k3_funct_2(u1_struct_0(C), k1_numbers, E, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t82_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_rlaffin1(k4_subset_1(u1_struct_0(A), C, k6_domain_1(u1_struct_0(A), B)), A) <=>  (v1_rlaffin1(C, A) &  ~ ( ( ~ (r2_tarski(B, C))  & r2_tarski(B, k4_rlaffin1(A, C))) ) ) ) ) ) ) ) ) ) ).
fof(t83_rlaffin1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) & l1_rlvect_1(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  (! [G] :  (m1_subset_1(G, k1_zfmisc_1(u1_struct_0(C))) =>  ( (r2_tarski(D, G) &  (r2_tarski(E, G) & k3_rlvect_1(C, k1_rlvect_1(C, F, A), k1_rlvect_1(C, D, k6_xcmplx_0(1, A)))=k3_rlvect_1(C, k1_rlvect_1(C, F, B), k1_rlvect_1(C, E, k6_xcmplx_0(1, B)))) )  =>  (r2_tarski(F, k4_rlaffin1(C, G)) |  (A=1 |  (A=B & D=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t84_rlaffin1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  ( (v1_rlaffin1(F, B) & m1_subset_1(F, k1_zfmisc_1(u1_struct_0(B))))  =>  ( (r2_tarski(C, F) &  (r2_tarski(D, k4_rlaffin1(B, F)) &  (r2_tarski(E, k4_rlaffin1(B, k7_subset_1(u1_struct_0(B), F, k6_domain_1(u1_struct_0(B), C)))) & D=k3_rlvect_1(B, k1_rlvect_1(B, C, A), k1_rlvect_1(B, E, k6_xcmplx_0(1, A)))) ) )  => A=k3_funct_2(u1_struct_0(B), k1_numbers, k5_rlaffin1(B, F, D), C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_rlaffin1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  &  (m1_rlvect_2(B, A) & m1_subset_1(C, u1_struct_0(A))) )  => m1_rlvect_2(k1_rlaffin1(A, B, C), A)) ) ).
fof(dt_k2_rlaffin1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  &  (m1_rlvect_2(B, A) & v1_xreal_0(C)) )  => m1_rlvect_2(k2_rlaffin1(A, B, C), A)) ) ).
fof(dt_k3_rlaffin1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  & m1_rlvect_2(B, A))  => v1_xreal_0(k3_rlaffin1(A, B))) ) ).
fof(dt_k4_rlaffin1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k4_rlaffin1(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k5_rlaffin1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m2_rlvect_2(k5_rlaffin1(A, B, C), A, B)) ) ).
fof(d6_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k4_rlaffin1(A, B)=k1_setfam_1(a_2_0_rlaffin1(A, B))) ) ) ) ).
fof(t59_rlaffin1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k4_rlaffin1(A, B)=a_2_1_rlaffin1(A, B)) ) ) ) ).
fof(fraenkel_a_2_0_rlaffin1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l1_rlvect_1(B))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_0_rlaffin1(B, C)) <=>  (? [D] :  ( (v2_rusub_4(D, B) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))))  &  (A=D & r1_tarski(C, D)) ) ) ) ) ) ).
fof(fraenkel_a_2_1_rlaffin1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_1_rlaffin1(B, C)) <=>  (? [D] :  (m2_rlvect_2(D, B, C) &  (A=k6_rlvect_2(B, D) & k3_rlaffin1(B, D)=1) ) ) ) ) ) ).
fof(fc1_rlaffin2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  &  (v1_xboole_0(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v1_xboole_0(k1_rlaffin2(A, B))) ) ).
fof(t1_rlaffin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m2_rlvect_2(D, A, C) =>  ~ ( (v2_convex1(D, A) &  ( ~ (B=k6_rlvect_2(A, D))  &  ( ~ (k3_funct_2(u1_struct_0(A), k1_numbers, D, B)=k5_numbers)  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_tarski(E, k3_convex1(A, k7_subset_1(u1_struct_0(A), C, k6_domain_1(u1_struct_0(A), B)))) &  (k6_rlvect_2(A, D)=k3_rlvect_1(A, k1_rlvect_1(A, B, k3_funct_2(u1_struct_0(A), k1_numbers, D, B)), k1_rlvect_1(A, E, k6_xcmplx_0(1, k3_funct_2(u1_struct_0(A), k1_numbers, D, B)))) & k3_rlvect_1(A, k1_rlvect_1(A, k6_rlvect_2(A, D), k7_xcmplx_0(1, k3_funct_2(u1_struct_0(A), k1_numbers, D, B))), k1_rlvect_1(A, E, k6_xcmplx_0(1, k7_xcmplx_0(1, k3_funct_2(u1_struct_0(A), k1_numbers, D, B)))))=B) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_rlaffin2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) & l1_rlvect_1(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  ( (v1_rlaffin1(F, C) & m1_subset_1(F, k1_zfmisc_1(u1_struct_0(C))))  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(C)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(C)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(C)) =>  (! [J] :  (m1_subset_1(J, u1_struct_0(C)) =>  ( (r2_tarski(D, k3_convex1(C, F)) &  (r2_tarski(E, k3_convex1(C, F)) &  (r2_tarski(I, k3_convex1(C, k7_subset_1(u1_struct_0(C), F, k6_domain_1(u1_struct_0(C), G)))) &  (r2_tarski(J, k3_convex1(C, k7_subset_1(u1_struct_0(C), F, k6_domain_1(u1_struct_0(C), H)))) &  (k3_rlvect_1(C, k1_rlvect_1(C, E, A), k1_rlvect_1(C, I, k6_xcmplx_0(1, A)))=D & k3_rlvect_1(C, k1_rlvect_1(C, E, B), k1_rlvect_1(C, J, k6_xcmplx_0(1, B)))=D) ) ) ) )  =>  (r2_tarski(E, k3_convex1(C, k7_subset_1(u1_struct_0(C), F, k6_domain_1(u1_struct_0(C), G)))) |  (r2_tarski(E, k3_convex1(C, k7_subset_1(u1_struct_0(C), F, k6_domain_1(u1_struct_0(C), H)))) |  (r1_xxreal_0(1, A) |  (r1_xxreal_0(1, B) |  (I=J & A=B) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_rlaffin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v1_finset_1(C) &  (v1_rlaffin1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [D] :  (m2_rlvect_2(D, A, B) =>  ( (r1_tarski(B, k3_convex1(A, C)) & k3_rlaffin1(A, D)=1)  =>  (r2_tarski(k6_rlvect_2(A, D), k4_rlaffin1(A, C)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (? [F] :  (m2_finseq_1(F, k1_numbers) &  (? [G] :  (m2_finseq_1(G, u1_struct_0(A)) &  (k3_funct_2(u1_struct_0(A), k1_numbers, k5_rlaffin1(A, C, k6_rlvect_2(A, D)), E)=k18_rvsum_1(F) &  (k3_finseq_1(G)=k3_finseq_1(F) &  (v2_funct_1(G) &  (k2_relset_1(u1_struct_0(A), G)=k3_rlvect_2(A, D) &  (! [H] :  (v7_ordinal1(H) =>  (r2_tarski(H, k4_finseq_1(F)) => k1_funct_1(F, H)=k3_xcmplx_0(k1_funct_1(D, k1_funct_1(G, H)), k3_funct_2(u1_struct_0(A), k1_numbers, k5_rlaffin1(A, C, k1_funct_1(G, H)), E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_rlaffin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v2_rusub_4(E, A) &  (r1_tarski(k9_subset_1(u1_struct_0(A), k3_convex1(A, C), k3_convex1(A, D)), E) & r1_tarski(k3_convex1(A, k7_subset_1(u1_struct_0(A), C, k6_domain_1(u1_struct_0(A), B))), E)) )  =>  (r2_tarski(B, E) | k9_subset_1(u1_struct_0(A), k3_convex1(A, k7_subset_1(u1_struct_0(A), C, k6_domain_1(u1_struct_0(A), B))), k3_convex1(A, D))=k9_subset_1(u1_struct_0(A), k3_convex1(A, C), k3_convex1(A, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_rlaffin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (C=k1_rlaffin2(A, B) <=>  (! [D] :  (r2_tarski(D, C) <=>  (r2_tarski(D, k3_convex1(A, B)) &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_xboole_0(E, B) & r2_tarski(D, k3_convex1(A, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_rlaffin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k1_rlaffin2(A, B), k3_convex1(A, B))) ) ) ) ).
fof(t6_rlaffin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (k1_rlaffin2(A, B)=B <=> v1_zfmisc_1(B)) ) ) ) ) ).
fof(t7_rlaffin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_xboole_0(B, C) => r1_xboole_0(k3_convex1(A, B), k1_rlaffin2(A, C))) ) ) ) ) ) ) ).
fof(t10_rlaffin2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  ~ ( (r2_tarski(A, k1_rlaffin2(B, C)) &  (! [D] :  (m2_rlvect_2(D, B, C) =>  ~ ( (v2_convex1(D, B) & A=k6_rlvect_2(B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_rlaffin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m2_rlvect_2(C, A, B) =>  ( (v2_convex1(C, A) & r2_tarski(k6_rlvect_2(A, C), k1_rlaffin2(A, B)))  => k3_rlvect_2(A, C)=B) ) ) ) ) ) ) ).
fof(t12_rlaffin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_rlaffin1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m2_rlvect_2(C, A, B) =>  ( (v2_convex1(C, A) & k3_rlvect_2(A, C)=B)  => r2_tarski(k6_rlvect_2(A, C), k1_rlaffin2(A, B))) ) ) ) ) ) ) ).
fof(t13_rlaffin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ~ (v1_xboole_0(k1_rlaffin2(A, B)))  => v1_finset_1(B)) ) ) ) ) ).
fof(t14_rlaffin2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  ( (v1_rlaffin1(F, B) & m1_subset_1(F, k1_zfmisc_1(u1_struct_0(B))))  =>  ( (r2_tarski(C, F) &  (r2_tarski(D, k1_rlaffin2(B, F)) &  (r2_tarski(E, k3_convex1(B, k7_subset_1(u1_struct_0(B), F, k6_domain_1(u1_struct_0(B), C)))) & k3_rlvect_1(B, k1_rlvect_1(B, C, A), k1_rlvect_1(B, E, k6_xcmplx_0(1, A)))=D) ) )  => r2_tarski(E, k1_rlaffin2(B, k7_subset_1(u1_struct_0(B), F, k6_domain_1(u1_struct_0(B), C))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_rlaffin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_orders_1(u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_orders_1(u1_struct_0(A)), u1_struct_0(A))))) )  =>  (B=k2_rlaffin2(A) <=>  ( (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => k1_funct_1(B, C)=k1_rlvect_1(A, k2_rlvect_2(A, C), k7_xcmplx_0(1, k4_card_1(C)))) )  &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( ~ (v1_finset_1(C))  => k1_funct_1(B, C)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ).
fof(t15_rlaffin2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (? [D] :  (m2_rlvect_2(D, B, C) &  (k6_rlvect_2(B, D)=k1_rlvect_1(B, k2_rlvect_2(B, C), A) &  (k3_rlaffin1(B, D)=k3_xcmplx_0(A, k4_card_1(C)) & D=k1_funct_4(k4_rlvect_2(B), k7_funcop_1(C, A))) ) ) ) ) ) ) ) ) ) ).
fof(t16_rlaffin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ( ~ (v1_xboole_0(B))  => r2_tarski(k1_funct_1(k2_rlaffin2(A), B), k3_convex1(A, B))) ) ) ) ) ).
fof(t17_rlaffin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (v1_finset_1(k5_setfam_1(u1_struct_0(A), B)) => r1_tarski(k7_relset_1(k1_orders_1(u1_struct_0(A)), u1_struct_0(A), k2_rlaffin2(A), B), k3_convex1(A, k5_setfam_1(u1_struct_0(A), B)))) ) ) ) ) ).
fof(t18_rlaffin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_finset_1(C) &  (v1_rlaffin1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (r2_tarski(B, C) => k3_funct_2(u1_struct_0(A), k1_numbers, k5_rlaffin1(A, C, k1_funct_1(k2_rlaffin2(A), C)), B)=k7_xcmplx_0(1, k4_card_1(C))) ) ) ) ) ) ) ).
fof(t19_rlaffin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_finset_1(B) &  (v1_rlaffin1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (r2_tarski(k1_funct_1(k2_rlaffin2(A), B), B) <=> k4_card_1(B)=1) ) ) ) ) ).
fof(t20_rlaffin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_finset_1(B) &  (v1_rlaffin1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  ( ~ (v1_xboole_0(B))  => r2_tarski(k1_funct_1(k2_rlaffin2(A), B), k1_rlaffin2(A, B))) ) ) ) ) ).
fof(t21_rlaffin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v1_finset_1(C) &  (v1_rlaffin1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  ( (r1_tarski(B, C) & r2_tarski(k1_funct_1(k2_rlaffin2(A), C), k4_rlaffin1(A, B)))  => C=B) ) ) ) ) ) ) ).
fof(t22_rlaffin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (r2_tarski(B, C) =>  (v1_xboole_0(k7_subset_1(u1_struct_0(A), C, k6_domain_1(u1_struct_0(A), B))) | k1_funct_1(k2_rlaffin2(A), C)=k3_rlvect_1(A, k1_rlvect_1(A, k7_partfun1(u1_struct_0(A), k2_rlaffin2(A), k7_subset_1(u1_struct_0(A), C, k6_domain_1(u1_struct_0(A), B))), k6_xcmplx_0(1, k7_xcmplx_0(1, k4_card_1(C)))), k1_rlvect_1(A, B, k7_xcmplx_0(1, k4_card_1(C))))) ) ) ) ) ) ) ) ).
fof(t23_rlaffin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v1_finset_1(C) &  (v1_rlaffin1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  ~ ( (r1_tarski(k3_convex1(A, B), k3_convex1(A, C)) &  ( ~ (v1_xboole_0(C))  &  (r1_xboole_0(k3_convex1(A, B), k1_rlaffin2(A, C)) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_xboole_0(D, C) & r1_tarski(k3_convex1(A, B), k3_convex1(A, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_rlaffin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (! [C] :  (m1_rlvect_2(C, A) =>  ~ ( ( ~ (k6_rlvect_2(A, B)=k6_rlvect_2(A, C))  &  (k3_rlaffin1(A, B)=k3_rlaffin1(A, C) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_xxreal_0(k3_funct_2(u1_struct_0(A), k1_numbers, B, D), k3_funct_2(u1_struct_0(A), k1_numbers, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_rlaffin2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) & l1_rlvect_1(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_rlvect_2(E, C) =>  (! [F] :  (m1_rlvect_2(F, C) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( (r1_xxreal_0(k3_funct_2(u1_struct_0(C), k1_numbers, k7_rlvect_2(C, k8_rlvect_2(C, A, E), k8_rlvect_2(C, k6_xcmplx_0(1, A), F)), D), G) &  (r1_xxreal_0(G, k3_funct_2(u1_struct_0(C), k1_numbers, k7_rlvect_2(C, k8_rlvect_2(C, B, E), k8_rlvect_2(C, k6_xcmplx_0(1, B), F)), D)) &  (! [H] :  (v1_xreal_0(H) =>  ~ ( (k3_funct_2(u1_struct_0(C), k1_numbers, k7_rlvect_2(C, k8_rlvect_2(C, H, E), k8_rlvect_2(C, k6_xcmplx_0(1, H), F)), D)=G &  ( (r1_xxreal_0(A, B) =>  (r1_xxreal_0(A, H) & r1_xxreal_0(H, B)) )  &  (r1_xxreal_0(B, A) =>  (r1_xxreal_0(B, H) & r1_xxreal_0(H, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_rlaffin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_tarski(B, k3_convex1(A, D)) &  (r2_tarski(C, k3_convex1(A, D)) &  ( ~ (B=C)  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( (r2_tarski(E, D) &  (r2_tarski(F, k3_convex1(A, k7_subset_1(u1_struct_0(A), D, k6_domain_1(u1_struct_0(A), E)))) &  (r1_xxreal_0(k5_numbers, G) &  ( ~ (r1_xxreal_0(1, G))  & k3_rlvect_1(A, k1_rlvect_1(A, C, G), k1_rlvect_1(A, F, k6_xcmplx_0(1, G)))=B) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_rlaffin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_rlaffin1(k4_subset_1(u1_struct_0(A), C, k6_domain_1(u1_struct_0(A), B)), A) <=>  (v1_rlaffin1(C, A) &  ~ ( ( ~ (r2_tarski(B, C))  & r2_tarski(B, k4_rlaffin1(A, C))) ) ) ) ) ) ) ) ) ) ).
fof(t28_rlaffin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  ( (v1_rlaffin1(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  =>  ( (r1_tarski(C, D) & r2_tarski(B, C))  =>  (v1_rlaffin1(k2_xboole_0(k7_subset_1(u1_struct_0(A), D, k6_domain_1(u1_struct_0(A), B)), k1_tarski(k1_funct_1(k2_rlaffin2(A), C))), A) & m1_subset_1(k2_xboole_0(k7_subset_1(u1_struct_0(A), D, k6_domain_1(u1_struct_0(A), B)), k1_tarski(k1_funct_1(k2_rlaffin2(A), C))), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ) ) ) ) ).
fof(t29_rlaffin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v6_ordinal1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))  =>  ( (v1_finset_1(k5_setfam_1(u1_struct_0(A), B)) & v1_rlaffin1(k5_setfam_1(u1_struct_0(A), B), A))  =>  (v1_rlaffin1(k7_relset_1(k1_orders_1(u1_struct_0(A)), u1_struct_0(A), k2_rlaffin2(A), B), A) & m1_subset_1(k7_relset_1(k1_orders_1(u1_struct_0(A)), u1_struct_0(A), k2_rlaffin2(A), B), k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ).
fof(t30_rlaffin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v6_ordinal1(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))  =>  ( (v1_rlaffin1(k5_setfam_1(u1_struct_0(A), B), A) & v1_finset_1(k5_setfam_1(u1_struct_0(A), B)))  => r1_tarski(k1_rlaffin2(A, k7_relset_1(k1_orders_1(u1_struct_0(A)), u1_struct_0(A), k2_rlaffin2(A), B)), k1_rlaffin2(A, k5_setfam_1(u1_struct_0(A), B)))) ) ) ) ) ).
fof(dt_k1_rlaffin2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k1_rlaffin2(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k2_rlaffin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k2_rlaffin2(A)) &  (v1_funct_2(k2_rlaffin2(A), k1_orders_1(u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(k2_rlaffin2(A), k1_zfmisc_1(k2_zfmisc_1(k1_orders_1(u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(t8_rlaffin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k3_convex1(A, B)=k3_tarski(a_2_0_rlaffin2(A, B))) ) ) ) ).
fof(t9_rlaffin2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k3_convex1(A, B)=k2_xboole_0(k1_rlaffin2(A, B), k3_tarski(a_2_1_rlaffin2(A, B)))) ) ) ) ).
fof(fraenkel_a_2_0_rlaffin2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_0_rlaffin2(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) &  (A=k1_rlaffin2(B, D) & r1_tarski(D, C)) ) ) ) ) ) ).
fof(fraenkel_a_2_1_rlaffin2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_1_rlaffin2(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=k3_convex1(B, k7_subset_1(u1_struct_0(B), C, k6_domain_1(u1_struct_0(B), D))) & r2_tarski(D, C)) ) ) ) ) ) ).
fof(cc1_rlaffin3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v1_rlvect_5(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_rlaffin1(B, A) =>  (v1_finset_1(B) & v1_rlaffin1(B, A)) ) ) ) ) ) ).
fof(fc1_rlaffin3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v5_rltopsp1(k15_euclid(A)) &  (v6_rltopsp1(k15_euclid(A)) & v7_rltopsp1(k15_euclid(A))) ) ) ) ).
fof(fc2_rlaffin3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v5_rltopsp1(k15_euclid(A)) & v1_rlvect_5(k15_euclid(A))) ) ) ).
fof(fc3_rlaffin3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  & m1_subset_1(C, u1_struct_0(A))) )  => v1_finset_1(k5_rusub_4(A, B, C))) ) ).
fof(fc4_rlaffin3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  &  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  & v1_xreal_0(C)) )  => v1_finset_1(k1_convex1(A, B, C))) ) ).
fof(fc5_rlaffin3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  &  (m1_finseq_1(B, u1_struct_0(A)) & v1_xreal_0(C)) )  =>  (v1_funct_1(k4_vfunct_1(k4_ordinal1, A, B, C)) & v1_finseq_1(k4_vfunct_1(k4_ordinal1, A, B, C))) ) ) ).
fof(cc2_rlaffin3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (v2_rusub_4(B, k15_euclid(A)) => v4_pre_topc(B, k15_euclid(A))) ) ) ) ) ).
fof(fc6_rlaffin3, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) & m1_subset_1(C, u1_struct_0(k15_euclid(A)))) )  => v4_pre_topc(k4_topreal9(k15_euclid(A), B, C), k15_euclid(A))) ) ).
fof(fc7_rlaffin3, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_rlaffin1(B, k15_euclid(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A))))) )  =>  (v1_convex1(k3_convex1(k15_euclid(A), B), k15_euclid(A)) & v4_pre_topc(k3_convex1(k15_euclid(A), B), k15_euclid(A))) ) ) ).
fof(t1_rlaffin3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v3_valued_0(B)) ) )  =>  (! [C] :  (v1_xreal_0(C) => k7_finseq_1(k3_euclid_9(A, C), k3_euclid_9(B, C))=k3_euclid_9(k7_finseq_1(A, B), C)) ) ) ) ) ) ).
fof(t2_rlaffin3, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r2_tarski(A, k4_card_3(k7_finseq_1(B, C))) <=>  (? [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  &  (? [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  &  (A=k7_finseq_1(D, E) &  (r2_tarski(D, k4_card_3(B)) & r2_tarski(E, k4_card_3(C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_rlaffin3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (v1_rlvect_5(A) <=> v1_rlvect_5(k2_rlsub_1(A))) ) ) ).
fof(t4_rlaffin3, axiom,  (! [A] :  (v7_ordinal1(A) => k1_rlvect_5(k15_euclid(A))=A) ) ).
fof(t5_rlaffin3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v1_rlvect_5(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_rlaffin1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => r1_xxreal_0(k4_card_1(B), k2_xcmplx_0(1, k1_rlvect_5(A)))) ) ) ) ).
fof(t6_rlaffin3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v1_rlvect_5(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_rlaffin1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (k4_card_1(B)=k2_xcmplx_0(k1_rlvect_5(A), 1) <=> k4_rlaffin1(A, B)=k2_struct_0(A)) ) ) ) ) ).
fof(t9_rlaffin3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_rlaffin1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(C, B) => k9_subset_1(u1_struct_0(A), k3_convex1(A, B), k4_rlaffin1(A, C))=k3_convex1(A, C)) ) ) ) ) ) ) ).
fof(t10_rlaffin3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_rlvect_1(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(C, u1_struct_0(B)))))  =>  (! [E] : k7_relset_1(C, u1_struct_0(B), k4_vfunct_1(C, B, D, A), E)=k1_convex1(B, k7_relset_1(C, u1_struct_0(B), D, E), A)) ) ) ) ) ) ) ) ) ).
fof(t11_rlaffin3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (r2_tarski(k5_euclid(A), B) => k4_rlaffin1(k15_euclid(A), B)=k2_struct_0(k1_rlvect_3(k15_euclid(A), B))) ) ) ) ) ).
fof(t12_rlaffin3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (k1_card_1(C)=k1_card_1(k1_convex1(B, C, A)) <=>  ~ ( (A=k5_numbers &  ~ (v1_zfmisc_1(C)) ) ) ) ) ) ) ) ) ) ).
fof(d1_rlaffin3, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_funct_1(B) & v1_finseq_1(B)) ) )  =>  (m1_rlaffin3(B, A) <=> k10_xtuple_0(B)=A) ) ) ) ) ).
fof(t13_rlaffin3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m2_rlaffin3(C, u1_struct_0(A), B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => m2_rlaffin3(k3_fvsum_1(A, C, k5_finseq_2(u1_struct_0(A), k4_card_1(B), D)), u1_struct_0(A), k5_rusub_4(A, B, D))) ) ) ) ) ) ) ) ).
fof(t14_rlaffin3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (! [D] :  (m2_rlaffin3(D, u1_struct_0(B), C) =>  (m2_rlaffin3(k4_vfunct_1(k4_ordinal1, B, D, A), u1_struct_0(B), k1_convex1(B, C, A)) <=>  ~ ( (A=k5_numbers &  ~ (v1_zfmisc_1(C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_rlaffin3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) &  (v2_matrix_0(C, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (k8_matrix13(k2_vectsp_1, C)=A =>  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (! [E] :  (m2_rlaffin3(E, u1_struct_0(k15_euclid(A)), D) => m2_rlaffin3(k4_finseqop(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(B)), E, k3_matrtop1(A, B, C)), u1_struct_0(k15_euclid(B)), k7_relset_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(B)), k3_matrtop1(A, B, C), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_rlaffin3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m2_rlaffin3(C, u1_struct_0(A), B) =>  (! [D] : k1_rlaffin3(A, B, C, D)=k4_finseqop(u1_struct_0(A), k1_numbers, C, k5_rlaffin1(A, B, D))) ) ) ) ) ) ) ).
fof(t16_rlaffin3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (! [D] :  (m2_rlaffin3(D, u1_struct_0(A), B) => k3_finseq_1(k1_rlaffin3(A, B, D, C))=k4_card_1(B)) ) ) ) ) ) ) ).
fof(t17_rlaffin3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_finset_1(D) &  (v1_rlaffin1(D, A) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (! [E] :  (m2_rlaffin3(E, u1_struct_0(A), D) =>  (! [F] :  (m2_rlaffin3(F, u1_struct_0(A), k5_rusub_4(A, D, B)) =>  ( (r2_tarski(C, k4_rlaffin1(A, D)) & F=k3_fvsum_1(A, E, k5_finseq_2(u1_struct_0(A), k4_card_1(D), B)))  => k1_rlaffin3(A, D, E, C)=k1_rlaffin3(A, k5_rusub_4(A, D, B), F, k1_algstr_0(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_rlaffin3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v1_finset_1(D) &  (v1_rlaffin1(D, B) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (! [E] :  (m2_rlaffin3(E, u1_struct_0(B), D) =>  (! [F] :  (m2_rlaffin3(F, u1_struct_0(B), k1_convex1(B, D, A)) =>  ( (r2_tarski(C, k4_rlaffin1(B, D)) & F=k4_vfunct_1(k4_ordinal1, B, E, A))  =>  (A=k5_numbers | k1_rlaffin3(B, D, E, C)=k1_rlaffin3(B, k1_convex1(B, D, A), F, k1_rlvect_1(B, C, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_rlaffin3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_rlaffin1(C, k15_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (! [D] :  (m2_rlaffin3(D, u1_struct_0(k15_euclid(A)), C) =>  (! [E] :  ( (v1_matrix_0(E) &  (v2_matrix_0(E, u1_struct_0(k2_vectsp_1), A, B) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k2_vectsp_1)))) )  =>  (k8_matrix13(k2_vectsp_1, E)=A =>  (! [F] :  (m2_rlaffin3(F, u1_struct_0(k15_euclid(B)), k7_relset_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(B)), k3_matrtop1(A, B, E), C)) =>  (F=k4_finseqop(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(B)), D, k3_matrtop1(A, B, E)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(A))) =>  (r2_tarski(G, k4_rlaffin1(k15_euclid(A), C)) => k1_rlaffin3(k15_euclid(A), C, D, G)=k1_rlaffin3(k15_euclid(B), k7_relset_1(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(B)), k3_matrtop1(A, B, E), C), F, k3_funct_2(u1_struct_0(k15_euclid(A)), u1_struct_0(k15_euclid(B)), k3_matrtop1(A, B, E), G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_rlaffin3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_finset_1(C) &  (v1_rlaffin1(C, B) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (! [D] :  (m2_rlaffin3(D, u1_struct_0(B), C) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) =>  ( (r1_tarski(E, C) & r2_tarski(A, k4_rlaffin1(B, C)))  =>  (r2_tarski(A, k4_rlaffin1(B, E)) <=>  (! [F] :  (r2_tarski(F, k4_finseq_1(k1_rlaffin3(B, C, D, A))) =>  (r2_tarski(k1_funct_1(D, F), E) | k1_funct_1(k1_rlaffin3(B, C, D, A), F)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_rlaffin3, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) & l1_rlvect_1(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_finset_1(D) &  (v1_rlaffin1(D, C) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(C)))) )  =>  (! [E] :  (m2_rlaffin3(E, u1_struct_0(C), D) =>  (r2_tarski(A, k4_rlaffin1(C, D)) =>  (r2_tarski(A, k4_rlaffin1(C, k7_relset_1(k4_ordinal1, u1_struct_0(C), E, k2_finseq_1(B)))) <=> k1_rlaffin3(C, D, E, A)=k7_finseq_1(k17_finseq_1(k1_numbers, B, k1_rlaffin3(C, D, E, A)), k5_finseq_2(k4_ordinal1, k7_nat_d(k4_card_1(D), B), k5_numbers))) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_rlaffin3, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) & l1_rlvect_1(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_finset_1(D) &  (v1_rlaffin1(D, C) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(C)))) )  =>  (! [E] :  (m2_rlaffin3(E, u1_struct_0(C), D) =>  ( (r1_xxreal_0(B, k4_card_1(D)) & r2_tarski(A, k4_rlaffin1(C, D)))  =>  (r2_tarski(A, k4_rlaffin1(C, k7_subset_1(u1_struct_0(C), D, k7_relset_1(k4_ordinal1, u1_struct_0(C), E, k2_finseq_1(B))))) <=> k1_rlaffin3(C, D, E, A)=k7_finseq_1(k5_finseq_2(k4_ordinal1, B, k5_numbers), k2_rfinseq(k1_numbers, B, k1_rlaffin3(C, D, E, A)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_rlaffin3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_rlaffin1(B, k15_euclid(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (! [C] :  (m2_rlaffin3(C, u1_struct_0(k15_euclid(A)), B) =>  ( (r2_tarski(k5_euclid(A), B) & k1_funct_1(C, k3_finseq_1(C))=k5_euclid(A))  =>  (k2_relset_1(u1_struct_0(k15_euclid(A)), k17_finseq_1(u1_struct_0(k15_euclid(A)), k7_nat_d(k4_card_1(B), 1), C))=k7_subset_1(u1_struct_0(k15_euclid(A)), B, k6_domain_1(k1_euclid(A), k5_euclid(A))) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k6_prvect_1(k2_vectsp_1, A)))) =>  (B=D => m1_matrlin(k17_finseq_1(u1_struct_0(k15_euclid(A)), k7_nat_d(k4_card_1(B), 1), C), k2_vectsp_1, k1_vectsp_7(k2_vectsp_1, k6_prvect_1(k2_vectsp_1, A), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_rlaffin3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_rlaffin1(B, k15_euclid(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (! [C] :  (m2_rlaffin3(C, u1_struct_0(k15_euclid(A)), B) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k6_prvect_1(k2_vectsp_1, A)))) =>  ( (B=D &  (r2_tarski(k5_euclid(A), B) & k1_funct_1(C, k3_finseq_1(C))=k5_euclid(A)) )  =>  (! [E] :  (m1_matrlin(E, k2_vectsp_1, k1_vectsp_7(k2_vectsp_1, k6_prvect_1(k2_vectsp_1, A), D)) =>  (E=k17_finseq_1(u1_struct_0(k15_euclid(A)), k7_nat_d(k4_card_1(B), 1), C) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(k1_vectsp_7(k2_vectsp_1, k6_prvect_1(k2_vectsp_1, A), D))) => k9_matrlin(k2_vectsp_1, k1_vectsp_7(k2_vectsp_1, k6_prvect_1(k2_vectsp_1, A), D), E, F)=k17_finseq_1(k1_numbers, k7_nat_d(k4_card_1(B), 1), k1_rlaffin3(k15_euclid(A), B, C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_rlaffin3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) )  =>  (D=k2_rlaffin3(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(k3_topmetr), D, E)=k1_funct_1(k5_rlaffin1(A, B, E), C)) ) ) ) ) ) ) ) ) ) ).
fof(t29_rlaffin3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  ( ~ (r2_tarski(A, C))  => r1_funct_2(u1_struct_0(B), u1_struct_0(k3_topmetr), k2_struct_0(B), k4_ordinal1, k2_rlaffin3(B, C, A), k8_funcop_1(k4_ordinal1, k2_struct_0(B), k5_numbers))) ) ) ) ) ) ).
fof(t30_rlaffin3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_rlaffin1(C, B) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  ~ ( (r1_funct_2(u1_struct_0(B), u1_struct_0(k3_topmetr), k2_struct_0(B), k4_ordinal1, k2_rlaffin3(B, C, A), k8_funcop_1(k4_ordinal1, k2_struct_0(B), k5_numbers)) & r2_tarski(A, C)) ) ) ) ) ) ) ).
fof(t31_rlaffin3, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_rlaffin1(C, k15_euclid(B)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(B)))))  =>  (v1_funct_1(k2_partfun1(u1_struct_0(k15_euclid(B)), u1_struct_0(k3_topmetr), k2_rlaffin3(k15_euclid(B), C, A), k4_rlaffin1(k15_euclid(B), C))) &  (v1_funct_2(k2_partfun1(u1_struct_0(k15_euclid(B)), u1_struct_0(k3_topmetr), k2_rlaffin3(k15_euclid(B), C, A), k4_rlaffin1(k15_euclid(B), C)), u1_struct_0(k1_pre_topc(k15_euclid(B), k4_rlaffin1(k15_euclid(B), C))), u1_struct_0(k3_topmetr)) &  (v5_pre_topc(k2_partfun1(u1_struct_0(k15_euclid(B)), u1_struct_0(k3_topmetr), k2_rlaffin3(k15_euclid(B), C, A), k4_rlaffin1(k15_euclid(B), C)), k1_pre_topc(k15_euclid(B), k4_rlaffin1(k15_euclid(B), C)), k3_topmetr) & m1_subset_1(k2_partfun1(u1_struct_0(k15_euclid(B)), u1_struct_0(k3_topmetr), k2_rlaffin3(k15_euclid(B), C, A), k4_rlaffin1(k15_euclid(B), C)), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(B), k4_rlaffin1(k15_euclid(B), C))), u1_struct_0(k3_topmetr))))) ) ) ) ) ) ) ) ).
fof(t32_rlaffin3, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_rlaffin1(C, k15_euclid(B)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(B)))))  =>  (k4_card_1(C)=k2_xcmplx_0(B, 1) => v5_pre_topc(k2_rlaffin3(k15_euclid(B), C, A), k15_euclid(B), k3_topmetr)) ) ) ) ) ) ).
fof(t33_rlaffin3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_rlaffin1(B, k15_euclid(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (k4_card_1(B)=k2_xcmplx_0(A, 1) => v3_pre_topc(k1_rlaffin2(k15_euclid(A), B), k15_euclid(A))) ) ) ) ) ).
fof(dt_m1_rlaffin3, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m1_rlaffin3(B, A) =>  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_funct_1(B) & v1_finseq_1(B)) ) ) ) ) ) ) ).
fof(existence_m1_rlaffin3, axiom,  (! [A] :  (v1_finset_1(A) =>  (? [B] : m1_rlaffin3(B, A)) ) ) ).
fof(dt_m2_rlaffin3, axiom,  (! [A, B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(A)))  =>  (! [C] :  (m2_rlaffin3(C, A, B) =>  (v2_funct_1(C) & m2_finseq_1(C, A)) ) ) ) ) ).
fof(existence_m2_rlaffin3, axiom,  (! [A, B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(A)))  =>  (? [C] : m2_rlaffin3(C, A, B)) ) ) ).
fof(redefinition_m2_rlaffin3, axiom,  (! [A, B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(A)))  =>  (! [C] :  (m2_rlaffin3(C, A, B) <=> m1_rlaffin3(C, B)) ) ) ) ).
fof(dt_k1_rlaffin3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  & m1_rlaffin3(C, B)) )  => m2_finseq_1(k1_rlaffin3(A, B, C, D), k1_numbers)) ) ).
fof(dt_k2_rlaffin3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_funct_1(k2_rlaffin3(A, B, C)) &  (v1_funct_2(k2_rlaffin3(A, B, C), u1_struct_0(A), u1_struct_0(k3_topmetr)) & m1_subset_1(k2_rlaffin3(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(k3_topmetr))))) ) ) ) ).
fof(t7_rlaffin3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) =>  ( (r1_xxreal_0(B, A) & C=a_3_0_rlaffin3(A, B, D))  =>  (v3_pre_topc(C, k15_euclid(A)) <=> v3_pre_topc(D, k15_euclid(B))) ) ) ) ) ) ) ) ) ) ).
fof(t8_rlaffin3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(k2_xcmplx_0(B, A))))) =>  (D=a_2_0_rlaffin3(A, B) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(k2_xcmplx_0(B, A)), D)))) =>  (E=a_4_0_rlaffin3(A, B, C, D) =>  (v3_pre_topc(C, k15_euclid(B)) <=> v3_pre_topc(E, k1_pre_topc(k15_euclid(k2_xcmplx_0(B, A)), D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_rlaffin3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_rlaffin1(C, k15_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) =>  (! [E] :  (m2_rlaffin3(E, u1_struct_0(k15_euclid(A)), C) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  ( (r1_xxreal_0(B, A) &  (k4_card_1(C)=k2_xcmplx_0(A, 1) & F=a_5_0_rlaffin3(A, B, C, D, E)) )  =>  (v3_pre_topc(D, k15_euclid(B)) <=> v3_pre_topc(F, k15_euclid(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_rlaffin3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [D] :  ( (v1_rlaffin1(D, k15_euclid(A)) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) =>  (! [F] :  (m2_rlaffin3(F, u1_struct_0(k15_euclid(A)), D) =>  ( (r1_xxreal_0(B, A) &  (k4_card_1(D)=k2_xcmplx_0(A, 1) & C=a_5_0_rlaffin3(A, B, D, E, F)) )  =>  (v4_pre_topc(E, k15_euclid(B)) <=> v4_pre_topc(C, k15_euclid(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_rlaffin3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_rlaffin1(C, k15_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) =>  (! [E] :  (m2_rlaffin3(E, u1_struct_0(k15_euclid(A)), C) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A), k4_rlaffin1(k15_euclid(A), C))))) =>  (F=a_5_1_rlaffin3(A, B, C, D, E) =>  (r1_xxreal_0(k4_card_1(C), B) |  (v3_pre_topc(D, k15_euclid(B)) <=> v3_pre_topc(F, k1_pre_topc(k15_euclid(A), k4_rlaffin1(k15_euclid(A), C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_rlaffin3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_rlaffin1(C, k15_euclid(A)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) =>  (! [E] :  (m2_rlaffin3(E, u1_struct_0(k15_euclid(A)), C) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A), k4_rlaffin1(k15_euclid(A), C))))) =>  (F=a_5_1_rlaffin3(A, B, C, D, E) =>  (r1_xxreal_0(k4_card_1(C), B) |  (v4_pre_topc(D, k15_euclid(B)) <=> v4_pre_topc(F, k1_pre_topc(k15_euclid(A), k4_rlaffin1(k15_euclid(A), C)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_rlaffin3, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(B) &  (v7_ordinal1(C) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(C))))) )  =>  (r2_hidden(A, a_3_0_rlaffin3(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(k15_euclid(B))) &  (A=E & r2_tarski(k16_finseq_1(C, E), D)) ) ) ) ) ) ).
fof(fraenkel_a_2_0_rlaffin3, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) & v7_ordinal1(C))  =>  (r2_hidden(A, a_2_0_rlaffin3(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(C))) & A=k7_finseq_1(D, k5_finseq_2(k4_ordinal1, B, k5_numbers))) ) ) ) ) ).
fof(fraenkel_a_4_0_rlaffin3, axiom,  (! [A, B, C, D, E] :  ( (v7_ordinal1(B) &  (v7_ordinal1(C) &  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(C)))) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(k2_xcmplx_0(C, B)))))) ) )  =>  (r2_hidden(A, a_4_0_rlaffin3(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(k15_euclid(k2_xcmplx_0(C, B)))) &  (A=F &  (r2_tarski(k16_finseq_1(C, F), D) & r2_tarski(F, E)) ) ) ) ) ) ) ).
fof(fraenkel_a_5_0_rlaffin3, axiom,  (! [A, B, C, D, E, F] :  ( (v7_ordinal1(B) &  (v7_ordinal1(C) &  ( (v1_rlaffin1(D, k15_euclid(B)) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(B)))))  &  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(C)))) & m2_rlaffin3(F, u1_struct_0(k15_euclid(B)), D)) ) ) )  =>  (r2_hidden(A, a_5_0_rlaffin3(B, C, D, E, F)) <=>  (? [G] :  (m1_subset_1(G, u1_struct_0(k15_euclid(B))) &  (A=G & r2_tarski(k17_finseq_1(k1_numbers, C, k1_rlaffin3(k15_euclid(B), D, F, G)), E)) ) ) ) ) ) ).
fof(fraenkel_a_5_1_rlaffin3, axiom,  (! [A, B, C, D, E, F] :  ( (v7_ordinal1(B) &  (v7_ordinal1(C) &  ( (v1_rlaffin1(D, k15_euclid(B)) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(B)))))  &  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(k15_euclid(C)))) & m2_rlaffin3(F, u1_struct_0(k15_euclid(B)), D)) ) ) )  =>  (r2_hidden(A, a_5_1_rlaffin3(B, C, D, E, F)) <=>  (? [G] :  (m1_subset_1(G, u1_struct_0(k1_pre_topc(k15_euclid(B), k4_rlaffin1(k15_euclid(B), D)))) &  (A=G & r2_tarski(k17_finseq_1(k1_numbers, C, k1_rlaffin3(k15_euclid(B), D, F, G)), E)) ) ) ) ) ) ).
fof(rc1_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_rlsub_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v12_algstr_0(B) &  (v13_algstr_0(B) &  (v14_algstr_0(B) &  (v1_rlvect_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & v9_rlvect_1(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_rlsub_1(B, A) <=>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k3_rlvect_1(A, C, D), B)) ) ) ) )  &  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, B) => r2_tarski(k1_rlvect_1(A, D, C), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_rlsub_1(B, A) =>  (B=k1_xboole_0 | r2_tarski(k4_struct_0(A), B)) ) ) ) ) ) ).
fof(t2_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_rlsub_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) => r2_tarski(k4_algstr_0(A, C), B)) ) ) ) ) ) ) ) ).
fof(t3_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_rlsub_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k5_algstr_0(A, C, D), B)) ) ) ) ) ) ) ) ) ) ).
fof(t4_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  => v1_rlsub_1(k6_domain_1(u1_struct_0(A), k4_struct_0(A)), A)) ) ).
fof(t5_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (u1_struct_0(A)=B => v1_rlsub_1(B, A)) ) ) ) ) ).
fof(t7_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_rlsub_1(B, A) & v1_rlsub_1(C, A))  => v1_rlsub_1(k9_subset_1(u1_struct_0(A), B, C), A)) ) ) ) ) ) ) ).
fof(d2_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (m1_rlsub_1(B, A) <=>  (r1_tarski(u1_struct_0(B), u1_struct_0(A)) &  (k4_struct_0(B)=k4_struct_0(A) &  (u1_algstr_0(B)=k1_realset1(u1_algstr_0(A), u1_struct_0(B)) & u1_rlvect_1(B)=k5_relat_1(u1_rlvect_1(A), k2_zfmisc_1(k1_numbers, u1_struct_0(B)))) ) ) ) ) ) ) ) ).
fof(t8_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  (m1_rlsub_1(C, A) =>  (! [D] :  (m1_rlsub_1(D, A) =>  ( (r1_struct_0(C, B) & m1_rlsub_1(C, D))  => r1_struct_0(D, B)) ) ) ) ) ) ) ) ).
fof(t9_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (! [C] :  (m1_rlsub_1(C, A) =>  (r1_struct_0(C, B) => r1_struct_0(A, B)) ) ) ) ) ) ).
fof(t10_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => m1_subset_1(C, u1_struct_0(A))) ) ) ) ) ) ).
fof(t11_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) => k4_struct_0(B)=k4_struct_0(A)) ) ) ) ).
fof(t12_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) => k4_struct_0(B)=k4_struct_0(C)) ) ) ) ) ) ).
fof(t13_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_rlsub_1(D, A) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(D)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(D)) =>  ( (E=C & F=B)  => k3_rlvect_1(D, E, F)=k3_rlvect_1(A, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_rlsub_1(D, A) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(D)) =>  (E=B => k1_rlvect_1(D, E, C)=k1_rlvect_1(A, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (D=B => k4_algstr_0(A, B)=k4_algstr_0(C, D)) ) ) ) ) ) ) ) ) ).
fof(t16_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_rlsub_1(D, A) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(D)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(D)) =>  ( (E=C & F=B)  => k5_algstr_0(D, E, F)=k5_algstr_0(A, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) => r1_struct_0(B, k4_struct_0(A))) ) ) ) ).
fof(t18_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) => r1_struct_0(C, k4_struct_0(B))) ) ) ) ) ) ).
fof(t19_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) => r1_struct_0(A, k4_struct_0(B))) ) ) ) ).
fof(t20_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_rlsub_1(D, A) =>  ( (r1_struct_0(D, B) & r1_struct_0(D, C))  => r1_struct_0(D, k3_rlvect_1(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t21_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_rlsub_1(D, A) =>  (r1_struct_0(D, B) => r1_struct_0(D, k1_rlvect_1(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t22_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (r1_struct_0(C, B) => r1_struct_0(C, k4_algstr_0(A, B))) ) ) ) ) ) ) ).
fof(t23_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_rlsub_1(D, A) =>  ( (r1_struct_0(D, B) & r1_struct_0(D, C))  => r1_struct_0(D, k5_algstr_0(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t24_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_subset_1(D, C) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(C, C), C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, C), C)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_zfmisc_1(k1_numbers, C), C) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, C), C)))) )  =>  ( (B=C &  (D=k4_struct_0(A) &  (E=k1_realset1(u1_algstr_0(A), B) & F=k5_relat_1(u1_rlvect_1(A), k2_zfmisc_1(k1_numbers, B))) ) )  => m1_rlsub_1(g1_rlvect_1(C, D, E, F), A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  => m1_rlsub_1(A, A)) ) ).
fof(t26_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v1_rlvect_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v1_rlvect_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) ) )  =>  ( (m1_rlsub_1(A, B) & m1_rlsub_1(B, A))  => A=B) ) ) ) ) ).
fof(t27_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) & l1_rlvect_1(C)) ) ) ) ) ) ) ) )  =>  ( (m1_rlsub_1(A, B) & m1_rlsub_1(B, C))  => m1_rlsub_1(A, C)) ) ) ) ) ) ) ).
fof(t28_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (r1_tarski(u1_struct_0(B), u1_struct_0(C)) => m1_rlsub_1(B, C)) ) ) ) ) ) ) ).
fof(t29_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_struct_0(B, D) => r1_struct_0(C, D)) ) )  => m1_rlsub_1(B, C)) ) ) ) ) ) ) ).
fof(t30_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_rlvect_1(B) & m1_rlsub_1(B, A))  =>  (! [C] :  ( (v1_rlvect_1(C) & m1_rlsub_1(C, A))  =>  (u1_struct_0(B)=u1_struct_0(C) => B=C) ) ) ) ) ) ) ).
fof(t31_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_rlvect_1(B) & m1_rlsub_1(B, A))  =>  (! [C] :  ( (v1_rlvect_1(C) & m1_rlsub_1(C, A))  =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_struct_0(B, D) <=> r1_struct_0(C, D)) ) )  => B=C) ) ) ) ) ) ) ).
fof(t32_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v1_rlvect_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_rlvect_1(B) & m1_rlsub_1(B, A))  =>  (u1_struct_0(B)=u1_struct_0(A) => B=A) ) ) ) ) ).
fof(t33_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v1_rlvect_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_rlvect_1(B) & m1_rlsub_1(B, A))  =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_struct_0(B, C) <=> r1_struct_0(A, C)) ) )  => B=A) ) ) ) ) ).
fof(t34_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (u1_struct_0(C)=B => v1_rlsub_1(B, A)) ) ) ) ) ) ) ).
fof(t35_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( ( ~ (B=k1_xboole_0)  &  (v1_rlsub_1(B, A) &  (! [C] :  ( (v1_rlvect_1(C) & m1_rlsub_1(C, A))  =>  ~ (B=u1_struct_0(C)) ) ) ) ) ) ) ) ) ) ).
fof(d3_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_rlvect_1(B) & m1_rlsub_1(B, A))  =>  (B=k1_rlsub_1(A) <=> u1_struct_0(B)=k6_domain_1(u1_struct_0(A), k4_struct_0(A))) ) ) ) ) ).
fof(d4_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  => k2_rlsub_1(A)=g1_rlvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_rlvect_1(A))) ) ).
fof(t36_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) => k1_rlsub_1(B)=k1_rlsub_1(A)) ) ) ) ).
fof(t37_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) => k1_rlsub_1(B)=k1_rlsub_1(C)) ) ) ) ) ) ).
fof(t38_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) => m1_rlsub_1(k1_rlsub_1(B), A)) ) ) ) ).
fof(t39_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) => m1_rlsub_1(k1_rlsub_1(A), B)) ) ) ) ).
fof(t40_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) => m1_rlsub_1(k1_rlsub_1(B), C)) ) ) ) ) ) ).
fof(t41_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v1_rlvect_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  => m1_rlsub_1(A, k2_rlsub_1(A))) ) ).
fof(d6_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (m2_rlsub_1(C, A, B) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & C=k3_rlsub_1(A, D, B)) ) ) ) ) ) ) ) ) ).
fof(t42_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (r2_tarski(k4_struct_0(A), k3_rlsub_1(A, B, C)) <=> r1_struct_0(C, B)) ) ) ) ) ) ) ).
fof(t43_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_rlsub_1(C, A) => r2_tarski(B, k3_rlsub_1(A, B, C))) ) ) ) ) ) ).
fof(t44_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) => k3_rlsub_1(A, k4_struct_0(A), B)=u1_struct_0(B)) ) ) ) ).
fof(t45_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k3_rlsub_1(A, B, k1_rlsub_1(A))=k6_domain_1(u1_struct_0(A), B)) ) ) ) ).
fof(t46_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k3_rlsub_1(A, B, k2_rlsub_1(A))=u1_struct_0(A)) ) ) ) ).
fof(t47_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (r2_tarski(k4_struct_0(A), k3_rlsub_1(A, B, C)) <=> k3_rlsub_1(A, B, C)=u1_struct_0(C)) ) ) ) ) ) ) ).
fof(t48_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (r1_struct_0(C, B) <=> k3_rlsub_1(A, B, C)=u1_struct_0(C)) ) ) ) ) ) ) ).
fof(t49_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_rlsub_1(D, A) =>  (r1_struct_0(D, B) => k3_rlsub_1(A, k1_rlvect_1(A, B, C), D)=u1_struct_0(D)) ) ) ) ) ) ) ) ) ).
fof(t50_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_rlsub_1(D, A) =>  (k3_rlsub_1(A, k1_rlvect_1(A, B, C), D)=u1_struct_0(D) =>  (C=k5_numbers | r1_struct_0(D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t51_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (r1_struct_0(C, B) <=> k3_rlsub_1(A, k4_algstr_0(A, B), C)=u1_struct_0(C)) ) ) ) ) ) ) ).
fof(t52_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_rlsub_1(D, A) =>  (r1_struct_0(D, B) <=> k3_rlsub_1(A, C, D)=k3_rlsub_1(A, k3_rlvect_1(A, C, B), D)) ) ) ) ) ) ) ) ) ).
fof(t53_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_rlsub_1(D, A) =>  (r1_struct_0(D, B) <=> k3_rlsub_1(A, C, D)=k3_rlsub_1(A, k5_algstr_0(A, C, B), D)) ) ) ) ) ) ) ) ) ).
fof(t54_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_rlsub_1(D, A) =>  (r2_tarski(C, k3_rlsub_1(A, B, D)) <=> k3_rlsub_1(A, B, D)=k3_rlsub_1(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t55_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (k3_rlsub_1(A, B, C)=k3_rlsub_1(A, k4_algstr_0(A, B), C) <=> r1_struct_0(C, B)) ) ) ) ) ) ) ).
fof(t56_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_rlsub_1(E, A) =>  ( (r2_tarski(B, k3_rlsub_1(A, C, E)) & r2_tarski(B, k3_rlsub_1(A, D, E)))  => k3_rlsub_1(A, C, E)=k3_rlsub_1(A, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_rlsub_1(D, A) =>  ( (r2_tarski(B, k3_rlsub_1(A, C, D)) & r2_tarski(B, k3_rlsub_1(A, k4_algstr_0(A, C), D)))  => r1_struct_0(D, C)) ) ) ) ) ) ) ) ) ).
fof(t58_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_rlsub_1(D, A) =>  (r2_tarski(k1_rlvect_1(A, B, C), k3_rlsub_1(A, B, D)) =>  (C=1 | r1_struct_0(D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t59_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_rlsub_1(D, A) =>  (r1_struct_0(D, B) => r2_tarski(k1_rlvect_1(A, B, C), k3_rlsub_1(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t60_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (r2_tarski(k4_algstr_0(A, B), k3_rlsub_1(A, B, C)) <=> r1_struct_0(C, B)) ) ) ) ) ) ) ).
fof(t61_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_rlsub_1(D, A) =>  (r2_tarski(k3_rlvect_1(A, B, C), k3_rlsub_1(A, C, D)) <=> r1_struct_0(D, B)) ) ) ) ) ) ) ) ) ).
fof(t62_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_rlsub_1(D, A) =>  (r2_tarski(k5_algstr_0(A, C, B), k3_rlsub_1(A, C, D)) <=> r1_struct_0(D, B)) ) ) ) ) ) ) ) ) ).
fof(t63_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_rlsub_1(D, A) =>  (r2_tarski(B, k3_rlsub_1(A, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (r1_struct_0(D, E) & B=k3_rlvect_1(A, C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_rlsub_1(D, A) =>  (r2_tarski(B, k3_rlsub_1(A, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (r1_struct_0(D, E) & B=k5_algstr_0(A, C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_rlsub_1(D, A) =>  ( (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (r2_tarski(B, k3_rlsub_1(A, E, D)) & r2_tarski(C, k3_rlsub_1(A, E, D))) ) )  <=> r1_struct_0(D, k5_algstr_0(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t66_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_rlsub_1(D, A) =>  ~ ( (k3_rlsub_1(A, C, D)=k3_rlsub_1(A, B, D) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r1_struct_0(D, E) & k3_rlvect_1(A, C, E)=B) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_rlsub_1(D, A) =>  ~ ( (k3_rlsub_1(A, C, D)=k3_rlsub_1(A, B, D) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r1_struct_0(D, E) & k5_algstr_0(A, C, E)=B) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_rlvect_1(C) & m1_rlsub_1(C, A))  =>  (! [D] :  ( (v1_rlvect_1(D) & m1_rlsub_1(D, A))  =>  (k3_rlsub_1(A, B, C)=k3_rlsub_1(A, B, D) <=> C=D) ) ) ) ) ) ) ) ) ).
fof(t69_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_rlvect_1(D) & m1_rlsub_1(D, A))  =>  (! [E] :  ( (v1_rlvect_1(E) & m1_rlsub_1(E, A))  =>  (k3_rlsub_1(A, C, D)=k3_rlsub_1(A, B, E) => D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m2_rlsub_1(C, A, B) =>  (v1_rlsub_1(C, A) <=> C=u1_struct_0(B)) ) ) ) ) ) ) ).
fof(t71_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_rlvect_1(B) & m1_rlsub_1(B, A))  =>  (! [C] :  ( (v1_rlvect_1(C) & m1_rlsub_1(C, A))  =>  (! [D] :  (m2_rlsub_1(D, A, B) =>  (! [E] :  (m2_rlsub_1(E, A, C) =>  (D=E => B=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t72_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => m2_rlsub_1(k6_domain_1(u1_struct_0(A), B), A, k1_rlsub_1(A))) ) ) ) ).
fof(t73_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (m2_rlsub_1(B, A, k1_rlsub_1(A)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ (B=k6_domain_1(u1_struct_0(A), C)) ) ) ) ) ) ) ) ) ).
fof(t74_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) => m2_rlsub_1(u1_struct_0(B), A, B)) ) ) ) ).
fof(t75_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  => m2_rlsub_1(u1_struct_0(A), A, k2_rlsub_1(A))) ) ).
fof(t76_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (m2_rlsub_1(B, A, k2_rlsub_1(A)) => B=u1_struct_0(A)) ) ) ) ) ).
fof(t77_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m2_rlsub_1(C, A, B) =>  (r2_tarski(k4_struct_0(A), C) <=> C=u1_struct_0(B)) ) ) ) ) ) ) ).
fof(t78_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (! [D] :  (m2_rlsub_1(D, A, C) =>  (r2_tarski(B, D) <=> D=k3_rlsub_1(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t79_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_rlsub_1(D, A) =>  (! [E] :  (m2_rlsub_1(E, A, D) =>  ~ ( (r2_tarski(B, E) &  (r2_tarski(C, E) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r1_struct_0(D, F) & k3_rlvect_1(A, B, F)=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t80_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_rlsub_1(D, A) =>  (! [E] :  (m2_rlsub_1(E, A, D) =>  ~ ( (r2_tarski(B, E) &  (r2_tarski(C, E) &  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r1_struct_0(D, F) & k5_algstr_0(A, B, F)=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t81_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_rlsub_1(D, A) =>  ( (? [E] :  (m2_rlsub_1(E, A, D) &  (r2_tarski(B, E) & r2_tarski(C, E)) ) )  <=> r1_struct_0(D, k5_algstr_0(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t82_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (! [D] :  (m2_rlsub_1(D, A, C) =>  (! [E] :  (m2_rlsub_1(E, A, C) =>  ( (r2_tarski(B, D) & r2_tarski(B, E))  => D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_m1_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(existence_m1_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (? [B] : m1_rlsub_1(B, A)) ) ) ).
fof(dt_k1_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (v1_rlvect_1(k1_rlsub_1(A)) & m1_rlsub_1(k1_rlsub_1(A), A)) ) ) ).
fof(dt_k2_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (v1_rlvect_1(k2_rlsub_1(A)) & m1_rlsub_1(k2_rlsub_1(A), A)) ) ) ).
fof(dt_k3_rlsub_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_rlsub_1(C, A)) )  => m1_subset_1(k3_rlsub_1(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_m2_rlsub_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  & m1_rlsub_1(B, A))  =>  (! [C] :  (m2_rlsub_1(C, A, B) => m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ).
fof(existence_m2_rlsub_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  & m1_rlsub_1(B, A))  =>  (? [C] : m2_rlsub_1(C, A, B)) ) ) ).
fof(t6_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_rlsub_1(B, A) &  (v1_rlsub_1(C, A) & D=a_3_0_rlsub_1(A, B, C)) )  => v1_rlsub_1(D, A)) ) ) ) ) ) ) ) ) ).
fof(d5_rlsub_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_rlsub_1(C, A) => k3_rlsub_1(A, B, C)=a_3_1_rlsub_1(A, B, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_rlsub_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (r2_hidden(A, a_3_0_rlsub_1(B, C, D)) <=>  (? [E, F] :  ( (m1_subset_1(E, u1_struct_0(B)) & m1_subset_1(F, u1_struct_0(B)))  &  (A=k3_rlvect_1(B, F, E) &  (r2_tarski(F, C) & r2_tarski(E, D)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_rlsub_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) & m1_rlsub_1(D, B)) )  =>  (r2_hidden(A, a_3_1_rlsub_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k3_rlvect_1(B, C, E) & r1_struct_0(D, E)) ) ) ) ) ) ).
fof(fc1_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  ~ (v1_xboole_0(k3_rlsub_2(A))) ) ) ).
fof(rc1_rlsub_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  & m1_rlsub_1(B, A))  =>  (? [C] :  (m1_rlsub_2(C, A, B) &  ( ~ (v2_struct_0(C))  &  (v12_algstr_0(C) &  (v13_algstr_0(C) &  (v1_rlvect_1(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) & v9_rlvect_1(C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc2_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (v3_lattices(g3_lattices(k3_rlsub_2(A), k5_rlsub_2(A), k6_rlsub_2(A))) & v10_lattices(g3_lattices(k3_rlsub_2(A), k5_rlsub_2(A), k6_rlsub_2(A)))) ) ) ).
fof(fc3_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (v3_lattices(g3_lattices(k3_rlsub_2(A), k5_rlsub_2(A), k6_rlsub_2(A))) &  (v12_lattices(g3_lattices(k3_rlsub_2(A), k5_rlsub_2(A), k6_rlsub_2(A))) &  (v13_lattices(g3_lattices(k3_rlsub_2(A), k5_rlsub_2(A), k6_rlsub_2(A))) &  (v14_lattices(g3_lattices(k3_rlsub_2(A), k5_rlsub_2(A), k6_rlsub_2(A))) & v16_lattices(g3_lattices(k3_rlsub_2(A), k5_rlsub_2(A), k6_rlsub_2(A)))) ) ) ) ) ) ).
fof(d2_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (! [D] :  ( (v1_rlvect_1(D) & m1_rlsub_1(D, A))  =>  (D=k2_rlsub_2(A, B, C) <=> u1_struct_0(D)=k3_xboole_0(u1_struct_0(B), u1_struct_0(C))) ) ) ) ) ) ) ) ) ).
fof(t1_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (! [D] :  (r1_struct_0(k1_rlsub_2(A, B, C), D) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (r1_struct_0(B, E) &  (r1_struct_0(C, F) & D=k3_rlvect_1(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_struct_0(B, D) | r1_struct_0(C, D))  => r1_struct_0(k1_rlsub_2(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t3_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (! [D] :  (r1_struct_0(k2_rlsub_2(A, B, C), D) <=>  (r1_struct_0(B, D) & r1_struct_0(C, D)) ) ) ) ) ) ) ) ) ).
fof(t4_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_rlvect_1(B) & m1_rlsub_1(B, A))  => k1_rlsub_2(A, B, B)=B) ) ) ) ).
fof(t5_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) => k1_rlsub_2(A, B, C)=k1_rlsub_2(A, C, B)) ) ) ) ) ) ).
fof(t6_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (! [D] :  (m1_rlsub_1(D, A) => k1_rlsub_2(A, B, k1_rlsub_2(A, C, D))=k1_rlsub_2(A, k1_rlsub_2(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t7_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (m1_rlsub_1(B, k1_rlsub_2(A, B, C)) & m1_rlsub_1(C, k1_rlsub_2(A, B, C))) ) ) ) ) ) ) ).
fof(t8_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  ( (v1_rlvect_1(C) & m1_rlsub_1(C, A))  =>  (m1_rlsub_1(B, C) <=> k1_rlsub_2(A, B, C)=C) ) ) ) ) ) ) ).
fof(t9_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_rlvect_1(B) & m1_rlsub_1(B, A))  =>  (k1_rlsub_2(A, k1_rlsub_1(A), B)=B & k1_rlsub_2(A, B, k1_rlsub_1(A))=B) ) ) ) ) ).
fof(t10_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (k1_rlsub_2(A, k1_rlsub_1(A), k2_rlsub_1(A))=g1_rlvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_rlvect_1(A)) & k1_rlsub_2(A, k2_rlsub_1(A), k1_rlsub_1(A))=g1_rlvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_rlvect_1(A))) ) ) ).
fof(t11_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (k1_rlsub_2(A, k2_rlsub_1(A), B)=g1_rlvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_rlvect_1(A)) & k1_rlsub_2(A, B, k2_rlsub_1(A))=g1_rlvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_rlvect_1(A))) ) ) ) ) ).
fof(t12_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v1_rlvect_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  => k1_rlsub_2(A, k2_rlsub_1(A), k2_rlsub_1(A))=A) ) ).
fof(t13_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_rlvect_1(B) & m1_rlsub_1(B, A))  => k2_rlsub_2(A, B, B)=B) ) ) ) ).
fof(t14_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) => k2_rlsub_2(A, B, C)=k2_rlsub_2(A, C, B)) ) ) ) ) ) ).
fof(t15_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (! [D] :  (m1_rlsub_1(D, A) => k2_rlsub_2(A, B, k2_rlsub_2(A, C, D))=k2_rlsub_2(A, k2_rlsub_2(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t16_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (m1_rlsub_1(k2_rlsub_2(A, B, C), B) & m1_rlsub_1(k2_rlsub_2(A, B, C), C)) ) ) ) ) ) ) ).
fof(t17_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  ( (v1_rlvect_1(C) & m1_rlsub_1(C, A))  =>  (m1_rlsub_1(C, B) <=> k2_rlsub_2(A, C, B)=C) ) ) ) ) ) ) ).
fof(t18_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (k2_rlsub_2(A, k1_rlsub_1(A), B)=k1_rlsub_1(A) & k2_rlsub_2(A, B, k1_rlsub_1(A))=k1_rlsub_1(A)) ) ) ) ) ).
fof(t19_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (k2_rlsub_2(A, k1_rlsub_1(A), k2_rlsub_1(A))=k1_rlsub_1(A) & k2_rlsub_2(A, k2_rlsub_1(A), k1_rlsub_1(A))=k1_rlsub_1(A)) ) ) ).
fof(t20_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_rlvect_1(B) & m1_rlsub_1(B, A))  =>  (k2_rlsub_2(A, k2_rlsub_1(A), B)=B & k2_rlsub_2(A, B, k2_rlsub_1(A))=B) ) ) ) ) ).
fof(t21_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v1_rlvect_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  => k2_rlsub_2(A, k2_rlsub_1(A), k2_rlsub_1(A))=A) ) ).
fof(t22_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) => m1_rlsub_1(k2_rlsub_2(A, B, C), k1_rlsub_2(A, B, C))) ) ) ) ) ) ).
fof(t23_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  ( (v1_rlvect_1(C) & m1_rlsub_1(C, A))  => k1_rlsub_2(A, k2_rlsub_2(A, B, C), C)=C) ) ) ) ) ) ).
fof(t24_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  ( (v1_rlvect_1(C) & m1_rlsub_1(C, A))  => k2_rlsub_2(A, C, k1_rlsub_2(A, C, B))=C) ) ) ) ) ) ).
fof(t25_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (! [D] :  (m1_rlsub_1(D, A) => m1_rlsub_1(k1_rlsub_2(A, k2_rlsub_2(A, B, C), k2_rlsub_2(A, C, D)), k2_rlsub_2(A, C, k1_rlsub_2(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t26_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (! [D] :  (m1_rlsub_1(D, A) =>  (m1_rlsub_1(B, C) => k2_rlsub_2(A, C, k1_rlsub_2(A, B, D))=k1_rlsub_2(A, k2_rlsub_2(A, B, C), k2_rlsub_2(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t27_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (! [D] :  (m1_rlsub_1(D, A) => m1_rlsub_1(k1_rlsub_2(A, C, k2_rlsub_2(A, B, D)), k2_rlsub_2(A, k1_rlsub_2(A, B, C), k1_rlsub_2(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t28_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (! [D] :  (m1_rlsub_1(D, A) =>  (m1_rlsub_1(B, C) => k1_rlsub_2(A, C, k2_rlsub_2(A, B, D))=k2_rlsub_2(A, k1_rlsub_2(A, B, C), k1_rlsub_2(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t29_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (! [D] :  (m1_rlsub_1(D, A) =>  ( (v1_rlvect_1(B) & m1_rlsub_1(B, D))  => k1_rlsub_2(A, B, k2_rlsub_2(A, C, D))=k2_rlsub_2(A, k1_rlsub_2(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t30_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_rlvect_1(B) & m1_rlsub_1(B, A))  =>  (! [C] :  ( (v1_rlvect_1(C) & m1_rlsub_1(C, A))  =>  (k1_rlsub_2(A, B, C)=C <=> k2_rlsub_2(A, B, C)=B) ) ) ) ) ) ) ).
fof(t31_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  ( (v1_rlvect_1(C) & m1_rlsub_1(C, A))  =>  (! [D] :  ( (v1_rlvect_1(D) & m1_rlsub_1(D, A))  =>  (m1_rlsub_1(B, C) => m1_rlsub_1(k1_rlsub_2(A, B, D), k1_rlsub_2(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t32_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  ( ~ ( ( (? [D] :  (m1_rlsub_1(D, A) & u1_struct_0(D)=k2_xboole_0(u1_struct_0(B), u1_struct_0(C))) )  &  ( ~ (m1_rlsub_1(B, C))  &  ~ (m1_rlsub_1(C, B)) ) ) )  &  ~ ( ( (m1_rlsub_1(B, C) | m1_rlsub_1(C, B))  &  (! [D] :  (m1_rlsub_1(D, A) =>  ~ (u1_struct_0(D)=k2_xboole_0(u1_struct_0(B), u1_struct_0(C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (B=k3_rlsub_2(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  (v1_rlvect_1(C) & m1_rlsub_1(C, A)) ) ) ) ) ) ) ).
fof(t33_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v1_rlvect_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  => r2_tarski(A, k3_rlsub_2(A))) ) ).
fof(d4_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (r1_rlsub_2(A, B, C) <=>  (g1_rlvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_rlvect_1(A))=k1_rlsub_2(A, B, C) & k2_rlsub_2(A, B, C)=k1_rlsub_1(A)) ) ) ) ) ) ) ) ).
fof(d5_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (m1_rlsub_2(C, A, B) <=> r1_rlsub_2(A, C, B)) ) ) ) ) ) ) ).
fof(t34_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (r1_rlsub_2(A, B, C) => m1_rlsub_2(C, A, B)) ) ) ) ) ) ) ).
fof(t35_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_2(C, A, B) =>  (r1_rlsub_2(A, C, B) & r1_rlsub_2(A, B, C)) ) ) ) ) ) ) ).
fof(t36_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_2(C, A, B) =>  (k1_rlsub_2(A, B, C)=g1_rlvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_rlvect_1(A)) & k1_rlsub_2(A, C, B)=g1_rlvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_rlvect_1(A))) ) ) ) ) ) ) ).
fof(t37_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_2(C, A, B) =>  (k2_rlsub_2(A, B, C)=k1_rlsub_1(A) & k2_rlsub_2(A, C, B)=k1_rlsub_1(A)) ) ) ) ) ) ) ).
fof(t38_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (r1_rlsub_2(A, B, C) => r1_rlsub_2(A, C, B)) ) ) ) ) ) ) ).
fof(t39_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (r1_rlsub_2(A, k1_rlsub_1(A), k2_rlsub_1(A)) & r1_rlsub_2(A, k2_rlsub_1(A), k1_rlsub_1(A))) ) ) ).
fof(t40_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_2(C, A, B) => m1_rlsub_2(B, A, C)) ) ) ) ) ) ).
fof(t41_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (m1_rlsub_2(k1_rlsub_1(A), A, k2_rlsub_1(A)) & m1_rlsub_2(k2_rlsub_1(A), A, k1_rlsub_1(A))) ) ) ).
fof(t42_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (! [D] :  (m2_rlsub_1(D, A, B) =>  (! [E] :  (m2_rlsub_1(E, A, C) =>  ( ~ (r1_xboole_0(D, E))  => m2_rlsub_1(k9_subset_1(u1_struct_0(A), D, E), A, k2_rlsub_2(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (r1_rlsub_2(A, B, C) <=>  (! [D] :  (m2_rlsub_1(D, A, B) =>  (! [E] :  (m2_rlsub_1(E, A, C) =>  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) & k9_subset_1(u1_struct_0(A), D, E)=k6_domain_1(u1_struct_0(A), F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (k1_rlsub_2(A, B, C)=g1_rlvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_rlvect_1(A)) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (r1_struct_0(B, E) &  (r1_struct_0(C, F) & D=k3_rlvect_1(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ( (r1_rlsub_2(A, B, C) &  (F=k3_rlvect_1(A, G, H) &  (F=k3_rlvect_1(A, D, E) &  (r1_struct_0(B, G) &  (r1_struct_0(B, D) &  (r1_struct_0(C, H) & r1_struct_0(C, E)) ) ) ) ) )  =>  (G=D & H=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (A=k1_rlsub_2(A, B, C) =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  (? [H] :  (m1_subset_1(H, u1_struct_0(A)) &  (D=k3_rlvect_1(A, E, F) &  (D=k3_rlvect_1(A, G, H) &  (r1_struct_0(B, E) &  (r1_struct_0(B, G) &  (r1_struct_0(C, F) &  (r1_struct_0(C, H) &  ~ ( (E=G & F=H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  | r1_rlsub_2(A, B, C)) ) ) ) ) ) ) ) ).
fof(d6_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (! [D] :  (m1_rlsub_1(D, A) =>  (r1_rlsub_2(A, C, D) =>  (! [E] :  (m1_subset_1(E, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) =>  (E=k4_rlsub_2(A, B, C, D) <=>  (B=k3_rlvect_1(A, k2_domain_1(u1_struct_0(A), u1_struct_0(A), E), k3_domain_1(u1_struct_0(A), u1_struct_0(A), E)) &  (r1_struct_0(C, k2_domain_1(u1_struct_0(A), u1_struct_0(A), E)) & r1_struct_0(D, k3_domain_1(u1_struct_0(A), u1_struct_0(A), E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_rlsub_2(A, B, C) => k2_domain_1(u1_struct_0(A), u1_struct_0(A), k4_rlsub_2(A, D, B, C))=k3_domain_1(u1_struct_0(A), u1_struct_0(A), k4_rlsub_2(A, D, C, B))) ) ) ) ) ) ) ) ) ).
fof(t48_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_rlsub_2(A, B, C) => k3_domain_1(u1_struct_0(A), u1_struct_0(A), k4_rlsub_2(A, D, B, C))=k2_domain_1(u1_struct_0(A), u1_struct_0(A), k4_rlsub_2(A, D, C, B))) ) ) ) ) ) ) ) ) ).
fof(t49_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))) =>  ( (k3_rlvect_1(A, k2_domain_1(u1_struct_0(A), u1_struct_0(A), E), k3_domain_1(u1_struct_0(A), u1_struct_0(A), E))=D &  (r1_struct_0(B, k2_domain_1(u1_struct_0(A), u1_struct_0(A), E)) & r1_struct_0(C, k3_domain_1(u1_struct_0(A), u1_struct_0(A), E))) )  => E=k4_rlsub_2(A, D, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_rlvect_1(A, k2_domain_1(u1_struct_0(A), u1_struct_0(A), k4_rlsub_2(A, D, B, C)), k3_domain_1(u1_struct_0(A), u1_struct_0(A), k4_rlsub_2(A, D, B, C)))=D) ) ) ) ) ) ) ) ).
fof(t51_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_struct_0(B, k2_domain_1(u1_struct_0(A), u1_struct_0(A), k4_rlsub_2(A, D, B, C))) & r1_struct_0(C, k3_domain_1(u1_struct_0(A), u1_struct_0(A), k4_rlsub_2(A, D, B, C)))) ) ) ) ) ) ) ) ) ).
fof(t52_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_domain_1(u1_struct_0(A), u1_struct_0(A), k4_rlsub_2(A, D, B, C))=k3_domain_1(u1_struct_0(A), u1_struct_0(A), k4_rlsub_2(A, D, C, B))) ) ) ) ) ) ) ) ).
fof(t53_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_domain_1(u1_struct_0(A), u1_struct_0(A), k4_rlsub_2(A, D, B, C))=k2_domain_1(u1_struct_0(A), u1_struct_0(A), k4_rlsub_2(A, D, C, B))) ) ) ) ) ) ) ) ).
fof(d7_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k3_rlsub_2(A), k3_rlsub_2(A)), k3_rlsub_2(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rlsub_2(A), k3_rlsub_2(A)), k3_rlsub_2(A))))) )  =>  (B=k5_rlsub_2(A) <=>  (! [C] :  (m1_subset_1(C, k3_rlsub_2(A)) =>  (! [D] :  (m1_subset_1(D, k3_rlsub_2(A)) =>  (! [E] :  (m1_rlsub_1(E, A) =>  (! [F] :  (m1_rlsub_1(F, A) =>  ( (C=E & D=F)  => k4_binop_1(k3_rlsub_2(A), B, C, D)=k1_rlsub_2(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k3_rlsub_2(A), k3_rlsub_2(A)), k3_rlsub_2(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rlsub_2(A), k3_rlsub_2(A)), k3_rlsub_2(A))))) )  =>  (B=k6_rlsub_2(A) <=>  (! [C] :  (m1_subset_1(C, k3_rlsub_2(A)) =>  (! [D] :  (m1_subset_1(D, k3_rlsub_2(A)) =>  (! [E] :  (m1_rlsub_1(E, A) =>  (! [F] :  (m1_rlsub_1(F, A) =>  ( (C=E & D=F)  => k4_binop_1(k3_rlsub_2(A), B, C, D)=k2_rlsub_2(A, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(g3_lattices(k3_rlsub_2(A), k5_rlsub_2(A), k6_rlsub_2(A))))  &  (v10_lattices(g3_lattices(k3_rlsub_2(A), k5_rlsub_2(A), k6_rlsub_2(A))) & l3_lattices(g3_lattices(k3_rlsub_2(A), k5_rlsub_2(A), k6_rlsub_2(A)))) ) ) ) ).
fof(t55_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  => v13_lattices(g3_lattices(k3_rlsub_2(A), k5_rlsub_2(A), k6_rlsub_2(A)))) ) ).
fof(t56_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  => v14_lattices(g3_lattices(k3_rlsub_2(A), k5_rlsub_2(A), k6_rlsub_2(A)))) ) ).
fof(t57_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(g3_lattices(k3_rlsub_2(A), k5_rlsub_2(A), k6_rlsub_2(A))))  &  (v10_lattices(g3_lattices(k3_rlsub_2(A), k5_rlsub_2(A), k6_rlsub_2(A))) &  (v15_lattices(g3_lattices(k3_rlsub_2(A), k5_rlsub_2(A), k6_rlsub_2(A))) & l3_lattices(g3_lattices(k3_rlsub_2(A), k5_rlsub_2(A), k6_rlsub_2(A)))) ) ) ) ) ).
fof(t58_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  => v12_lattices(g3_lattices(k3_rlsub_2(A), k5_rlsub_2(A), k6_rlsub_2(A)))) ) ).
fof(t59_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  => v16_lattices(g3_lattices(k3_rlsub_2(A), k5_rlsub_2(A), k6_rlsub_2(A)))) ) ).
fof(t60_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_rlvect_1(B) & m1_rlsub_1(B, A))  =>  (! [C] :  ( (v1_rlvect_1(C) & m1_rlsub_1(C, A))  =>  (! [D] :  ( (v1_rlvect_1(D) & m1_rlsub_1(D, A))  =>  (m1_rlsub_1(B, C) => m1_rlsub_1(k2_rlsub_2(A, B, D), k2_rlsub_2(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t61_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (B=k1_algstr_0(A, C, D) <=> C=k5_algstr_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t62_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_rlvect_1(B) & m1_rlsub_1(B, A))  =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_struct_0(B, C)) )  => B=g1_rlvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_rlvect_1(A))) ) ) ) ) ).
fof(t63_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m2_rlsub_1(D, A, B) & r2_tarski(C, D)) ) ) ) ) ) ) ) ).
fof(t64_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_lattices(A, C, B)=B) )  => B=k5_lattices(A)) ) ) ) ) ).
fof(t65_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_lattices(A, C, B)=B) )  => B=k6_lattices(A)) ) ) ) ) ).
fof(dt_k1_rlsub_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_rlsub_1(B, A) & m1_rlsub_1(C, A)) )  =>  (v1_rlvect_1(k1_rlsub_2(A, B, C)) & m1_rlsub_1(k1_rlsub_2(A, B, C), A)) ) ) ).
fof(dt_k2_rlsub_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_rlsub_1(B, A) & m1_rlsub_1(C, A)) )  =>  (v1_rlvect_1(k2_rlsub_2(A, B, C)) & m1_rlsub_1(k2_rlsub_2(A, B, C), A)) ) ) ).
fof(dt_m1_rlsub_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  & m1_rlsub_1(B, A))  =>  (! [C] :  (m1_rlsub_2(C, A, B) => m1_rlsub_1(C, A)) ) ) ) ).
fof(existence_m1_rlsub_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  & m1_rlsub_1(B, A))  =>  (? [C] : m1_rlsub_2(C, A, B)) ) ) ).
fof(dt_k4_rlsub_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (m1_rlsub_1(C, A) & m1_rlsub_1(D, A)) ) )  => m1_subset_1(k4_rlsub_2(A, B, C, D), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)))) ) ).
fof(dt_k5_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k5_rlsub_2(A)) &  (v1_funct_2(k5_rlsub_2(A), k2_zfmisc_1(k3_rlsub_2(A), k3_rlsub_2(A)), k3_rlsub_2(A)) & m1_subset_1(k5_rlsub_2(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rlsub_2(A), k3_rlsub_2(A)), k3_rlsub_2(A))))) ) ) ) ).
fof(dt_k6_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k6_rlsub_2(A)) &  (v1_funct_2(k6_rlsub_2(A), k2_zfmisc_1(k3_rlsub_2(A), k3_rlsub_2(A)), k3_rlsub_2(A)) & m1_subset_1(k6_rlsub_2(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rlsub_2(A), k3_rlsub_2(A)), k3_rlsub_2(A))))) ) ) ) ).
fof(d1_rlsub_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (! [D] :  ( (v1_rlvect_1(D) & m1_rlsub_1(D, A))  =>  (D=k1_rlsub_2(A, B, C) <=> u1_struct_0(D)=a_3_0_rlsub_2(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_rlsub_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  &  (m1_rlsub_1(C, B) & m1_rlsub_1(D, B)) )  =>  (r2_hidden(A, a_3_0_rlsub_2(B, C, D)) <=>  (? [E, F] :  ( (m1_subset_1(E, u1_struct_0(B)) & m1_subset_1(F, u1_struct_0(B)))  &  (A=k3_rlvect_1(B, F, E) &  (r1_struct_0(C, F) & r1_struct_0(D, E)) ) ) ) ) ) ) ).
fof(rc1_rltopsp1, axiom,  (? [A] :  (v1_xxreal_0(A) &  ( ~ (v8_ordinal1(A))  &  (v1_xcmplx_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(fc1_rltopsp1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (v1_xboole_0(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (v1_xboole_0(k3_convex1(A, B)) & v1_convex1(k3_convex1(A, B), A)) ) ) ).
fof(fc2_rltopsp1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  ( ~ (v1_xboole_0(k1_rltopsp1(A, B, C)))  & v1_convex1(k1_rltopsp1(A, B, C), A)) ) ) ).
fof(rc2_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) &  ( ~ (v1_xboole_0(B))  & v1_rltopsp1(B, A)) ) ) ) ) ).
fof(rc3_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  & v2_rltopsp1(B, A)) ) ) ) ) ).
fof(cc1_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_xboole_0(B) => v3_rltopsp1(B, A)) ) ) ) ) ).
fof(rc4_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  & v3_rltopsp1(B, A)) ) ) ) ) ).
fof(fc3_rltopsp1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  ( (v3_rltopsp1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  (v3_rltopsp1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  => v3_rltopsp1(k6_rusub_4(A, B, C), A)) ) ).
fof(cc2_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_rltopsp1(B, A) => v2_rltopsp1(B, A)) ) ) ) ) ).
fof(fc4_rltopsp1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (v3_rltopsp1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (v1_convex1(k3_convex1(A, B), A) & v3_rltopsp1(k3_convex1(A, B), A)) ) ) ).
fof(rc5_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) &  ( ~ (v1_xboole_0(B))  & v4_rltopsp1(B, A)) ) ) ) ) ).
fof(rc6_rltopsp1, axiom,  (? [A] :  (l1_rltopsp1(A) & v5_rltopsp1(A)) ) ).
fof(fc5_rltopsp1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k1_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, A), A)))) )  & m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) )  =>  ( ~ (v2_struct_0(g1_rltopsp1(A, B, C, D, E)))  & v5_rltopsp1(g1_rltopsp1(A, B, C, D, E))) ) ) ).
fof(rc7_rltopsp1, axiom,  (? [A] :  (l1_rltopsp1(A) &  ( ~ (v2_struct_0(A))  & v5_rltopsp1(A)) ) ) ).
fof(rc8_rltopsp1, axiom,  (? [A] :  (l1_rltopsp1(A) &  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v5_rltopsp1(A) &  (v6_rltopsp1(A) & v7_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc6_rltopsp1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k3_rltopsp1(A, B)) &  (v1_funct_2(k3_rltopsp1(A, B), u1_struct_0(A), u1_struct_0(A)) & v3_tops_2(k3_rltopsp1(A, B), A, A)) ) ) ) ).
fof(fc7_rltopsp1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v3_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  & m1_subset_1(C, u1_struct_0(A))) )  => v3_pre_topc(k5_rusub_4(A, B, C), A)) ) ).
fof(fc8_rltopsp1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v3_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => v3_pre_topc(k6_rusub_4(A, C, B), A)) ) ).
fof(fc9_rltopsp1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v4_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  & m1_subset_1(C, u1_struct_0(A))) )  => v4_pre_topc(k5_rusub_4(A, B, C), A)) ) ).
fof(cc3_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_xboole_0(B) => v9_rltopsp1(B, A)) ) ) ) ) ).
fof(rc9_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v9_rltopsp1(B, A)) ) ) ) ).
fof(fc10_rltopsp1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v8_ordinal1(B))  & v1_xreal_0(B)) )  =>  (v1_funct_1(k4_rltopsp1(A, B)) &  (v1_funct_2(k4_rltopsp1(A, B), u1_struct_0(A), u1_struct_0(A)) & v3_tops_2(k4_rltopsp1(A, B), A, A)) ) ) ) ).
fof(fc11_rltopsp1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( (v9_rltopsp1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  & v1_xreal_0(C)) )  => v9_rltopsp1(k1_convex1(A, B, C), A)) ) ).
fof(cc4_rltopsp1, axiom,  (! [A] :  (l1_rltopsp1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v7_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) & v7_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v8_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) & v7_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc12_rltopsp1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_convex1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v1_convex1(k2_pre_topc(A, B), A)) ) ).
fof(fc13_rltopsp1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (v1_convex1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v1_convex1(k1_tops_1(A, B), A)) ) ).
fof(fc14_rltopsp1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (v3_rltopsp1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v3_rltopsp1(k2_pre_topc(A, B), A)) ) ).
fof(fc15_rltopsp1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  &  (v9_rltopsp1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v9_rltopsp1(k2_pre_topc(A, B), A)) ) ).
fof(fc16_rltopsp1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  ~ (v1_xboole_0(k5_rltopsp1(A, B, C))) ) ) ).
fof(rc10_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v10_rltopsp1(B, A)) ) ) ) ).
fof(rc11_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_zfmisc_1(B))  & v10_rltopsp1(B, A)) ) ) ) ) ).
fof(fc17_rltopsp1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => v10_rltopsp1(k1_tarski(B), A)) ) ).
fof(fc18_rltopsp1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => v10_rltopsp1(k5_rltopsp1(A, B, C), A)) ) ).
fof(t1_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (r2_tarski(C, B) => r2_tarski(k1_rlvect_1(A, C, D), k1_convex1(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t2_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (m1_setfam_1(C, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(D, B) &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r2_tarski(D, E) & r2_tarski(E, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r2_tarski(D, B) & r2_tarski(E, C))  => r2_tarski(k1_algstr_0(A, D, E), k6_rusub_4(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k5_rusub_4(A, B, k4_struct_0(A))=B) ) ) ) ).
fof(t6_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) & l2_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => k5_rusub_4(A, D, k1_algstr_0(A, B, C))=k5_rusub_4(A, k5_rusub_4(A, D, C), B)) ) ) ) ) ) ) ) ).
fof(t7_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) & l2_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => k6_rusub_4(A, k5_rusub_4(A, C, B), D)=k5_rusub_4(A, k6_rusub_4(A, C, D), B)) ) ) ) ) ) ) ) ).
fof(t8_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_tarski(B, C) => r1_tarski(k5_rusub_4(A, B, D), k5_rusub_4(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t9_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) => r2_tarski(k4_struct_0(A), k5_rusub_4(A, B, k4_algstr_0(A, C)))) ) ) ) ) ) ) ).
fof(t10_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(B, C) => r1_tarski(k6_rusub_4(A, B, D), k6_rusub_4(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t11_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r1_tarski(B, D) & r1_tarski(C, E))  => r1_tarski(k6_rusub_4(A, B, C), k6_rusub_4(A, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_rlvect_1(A) & l2_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(k4_struct_0(A), C) => r1_tarski(B, k6_rusub_4(A, B, C))) ) ) ) ) ) ) ).
fof(t13_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) => k1_convex1(A, k6_domain_1(u1_struct_0(A), k4_struct_0(A)), B)=k6_domain_1(u1_struct_0(A), k4_struct_0(A))) ) ) ) ).
fof(t14_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & v1_xreal_0(C))  =>  (r2_tarski(k4_struct_0(A), k1_convex1(A, B, C)) => r2_tarski(k4_struct_0(A), B)) ) ) ) ) ) ) ).
fof(t15_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  ( ( ~ (v8_ordinal1(D))  & v1_xreal_0(D))  => k9_subset_1(u1_struct_0(A), k1_convex1(A, B, D), k1_convex1(A, C, D))=k1_convex1(A, k9_subset_1(u1_struct_0(A), B, C), D)) ) ) ) ) ) ) ) ).
fof(t16_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_connsp_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(C, D) => m1_connsp_2(D, A, B)) ) ) ) ) ) ) ) ) ).
fof(d1_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_convex1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xreal_0(E) =>  ( (r1_xxreal_0(k5_numbers, E) &  (r1_xxreal_0(E, 1) &  (r2_tarski(C, B) & r2_tarski(D, B)) ) )  => r2_tarski(k3_rlvect_1(A, k1_rlvect_1(A, C, E), k1_rlvect_1(A, D, k6_xcmplx_0(1, E))), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_convex1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => k3_convex1(A, B)=B) ) ) ) ).
fof(t18_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (v1_xreal_0(C) => k1_convex1(A, k3_convex1(A, B), C)=k3_convex1(A, k1_convex1(A, B, C))) ) ) ) ) ) ).
fof(t19_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(B, C) => r1_tarski(k2_convex1(A, C), k2_convex1(A, B))) ) ) ) ) ) ) ).
fof(t20_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(B, C) => r1_tarski(k3_convex1(A, B), k3_convex1(A, C))) ) ) ) ) ) ) ).
fof(t21_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_convex1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_xxreal_0(k5_numbers, C) &  (r1_xxreal_0(C, 1) & r2_tarski(k4_struct_0(A), B)) )  => r1_tarski(k1_convex1(A, B, C), B)) ) ) ) ) ) ) ).
fof(t22_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_convex1(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r1_tarski(k1_rltopsp1(A, C, D), B)) ) ) ) ) ) ) ) ) ) ).
fof(d3_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (v1_rltopsp1(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(C, B) => v1_convex1(C, A)) ) ) ) ) ) ) ) ).
fof(t23_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  ( (v1_rltopsp1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))  => v1_convex1(k6_setfam_1(u1_struct_0(A), B), A)) ) ) ) ).
fof(d4_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k2_rltopsp1(A, B)=k1_convex1(A, B, k4_xcmplx_0(1))) ) ) ) ).
fof(t24_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ~ (r1_xboole_0(k5_rusub_4(A, B, D), C))  <=> r2_tarski(D, k7_rusub_4(A, C, k2_rltopsp1(A, B)))) ) ) ) ) ) ) ) ) ).
fof(d5_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_rltopsp1(B, A) <=> B=k2_rltopsp1(A, B)) ) ) ) ) ).
fof(t25_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v2_rltopsp1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) => r2_tarski(k4_algstr_0(A, C), B)) ) ) ) ) ) ) ).
fof(d6_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_rltopsp1(B, A) <=>  (! [C] :  (v1_xreal_0(C) =>  (r1_xxreal_0(k9_complex1(C), 1) => r1_tarski(k1_convex1(A, B, C), B)) ) ) ) ) ) ) ) ).
fof(t26_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  => v3_rltopsp1(k6_domain_1(u1_struct_0(A), k4_struct_0(A)), A)) ) ).
fof(t27_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v3_rltopsp1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => r2_tarski(k4_struct_0(A), B)) ) ) ) ).
fof(t28_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v3_rltopsp1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (v1_xreal_0(C) =>  (k9_complex1(C)=1 => k1_convex1(A, B, C)=B) ) ) ) ) ) ) ).
fof(d7_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (v4_rltopsp1(B, A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(C, B) => v3_rltopsp1(C, A)) ) ) ) ) ) ) ) ).
fof(t29_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  ( (v4_rltopsp1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))  => v3_rltopsp1(k5_setfam_1(u1_struct_0(A), B), A)) ) ) ) ).
fof(t30_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  ( (v4_rltopsp1(B, A) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))  => v3_rltopsp1(k6_setfam_1(u1_struct_0(A), B), A)) ) ) ) ).
fof(d8_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rltopsp1(A))  =>  (v6_rltopsp1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v3_pre_topc(D, A) &  (r2_tarski(k1_algstr_0(A, B, C), D) &  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))) =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v3_pre_topc(E, A) &  (v3_pre_topc(F, A) &  (r2_tarski(B, E) &  (r2_tarski(C, F) & r1_tarski(k6_rusub_4(A, E, F), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rltopsp1(A))  =>  (v7_rltopsp1(A) <=>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v3_pre_topc(D, A) &  (r2_tarski(k1_rlvect_1(A, C, B), D) &  (! [E] :  ( (v2_xxreal_0(E) & v1_xreal_0(E))  =>  (! [F] :  (m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v3_pre_topc(F, A) &  (r2_tarski(C, F) &  (! [G] :  (v1_xreal_0(G) =>  ( ~ (r1_xxreal_0(E, k9_complex1(k6_xcmplx_0(G, B))))  => r1_tarski(k1_convex1(A, F, G), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_connsp_2(D, A, k3_rlvect_1(A, B, C)) =>  (? [E] :  (m1_connsp_2(E, A, B) &  (? [F] :  (m1_connsp_2(F, A, C) & r1_tarski(k7_rusub_4(A, E, F), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_connsp_2(D, A, k1_rlvect_1(A, C, B)) =>  (? [E] :  ( (v2_xxreal_0(E) & v1_xreal_0(E))  &  (? [F] :  (m1_connsp_2(F, A, C) &  (! [G] :  (v1_xreal_0(G) =>  ( ~ (r1_xxreal_0(E, k9_complex1(k6_xcmplx_0(G, B))))  => r1_tarski(k1_convex1(A, F, G), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d10_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rltopsp1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (C=k3_rltopsp1(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(A), C, D)=k1_algstr_0(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t33_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rltopsp1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k7_relset_1(u1_struct_0(A), u1_struct_0(A), k3_rltopsp1(A, B), C)=k5_rusub_4(A, C, B)) ) ) ) ) ) ).
fof(t34_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_relset_1(u1_struct_0(A), k3_rltopsp1(A, B))=k2_struct_0(A)) ) ) ) ).
fof(t35_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r2_funct_2(u1_struct_0(A), u1_struct_0(A), k2_tops_2(u1_struct_0(A), u1_struct_0(A), k3_rltopsp1(A, B)), k3_rltopsp1(A, k4_algstr_0(A, B)))) ) ) ) ).
fof(t36_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(k7_rusub_4(A, B, C), D) => r1_tarski(k7_rusub_4(A, k1_tops_1(A, B), k1_tops_1(A, C)), k1_tops_1(A, D))) ) ) ) ) ) ) ) ) ).
fof(t37_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k5_rusub_4(A, k1_tops_1(A, C), B)=k1_tops_1(A, k5_rusub_4(A, C, B))) ) ) ) ) ) ).
fof(t38_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k5_rusub_4(A, k2_pre_topc(A, C), B)=k2_pre_topc(A, k5_rusub_4(A, C, B))) ) ) ) ) ) ).
fof(t39_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_connsp_2(D, A, B) => m1_connsp_2(k5_rusub_4(A, D, C), A, k3_rlvect_1(A, C, B))) ) ) ) ) ) ) ) ).
fof(t40_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_connsp_2(C, A, B) => m1_connsp_2(k5_rusub_4(A, C, k4_algstr_0(A, B)), A, k4_struct_0(A))) ) ) ) ) ) ).
fof(d11_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rltopsp1(A))  =>  (v8_rltopsp1(A) <=>  (? [B] :  (m1_yellow13(B, A, k4_struct_0(A)) & v1_rltopsp1(B, A)) ) ) ) ) ).
fof(d12_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v9_rltopsp1(B, A) <=>  (! [C] :  (m1_connsp_2(C, A, k4_struct_0(A)) =>  (? [D] :  (v1_xreal_0(D) &  ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ( ~ (r1_xxreal_0(E, D))  => r1_tarski(B, k1_convex1(A, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v9_rltopsp1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v9_rltopsp1(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  => v9_rltopsp1(k4_subset_1(u1_struct_0(A), B, C), A)) ) ) ) ) ) ).
fof(t42_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v9_rltopsp1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(C, B) => v9_rltopsp1(C, A)) ) ) ) ) ) ) ).
fof(d13_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rltopsp1(A))  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (C=k4_rltopsp1(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), u1_struct_0(A), C, D)=k1_rlvect_1(A, D, B)) ) ) ) ) ) ) ) ) ).
fof(t46_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rltopsp1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & v1_xreal_0(C))  => k7_relset_1(u1_struct_0(A), u1_struct_0(A), k4_rltopsp1(A, C), B)=k1_convex1(A, B, C)) ) ) ) ) ) ).
fof(t47_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & v1_xreal_0(B))  => k2_relset_1(u1_struct_0(A), k4_rltopsp1(A, B))=k2_struct_0(A)) ) ) ) ).
fof(t48_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v8_ordinal1(B))  & v1_xreal_0(B))  => r2_funct_2(u1_struct_0(A), u1_struct_0(A), k2_tops_2(u1_struct_0(A), u1_struct_0(A), k4_rltopsp1(A, B)), k4_rltopsp1(A, k5_xcmplx_0(B)))) ) ) ) ).
fof(t49_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v3_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & v1_xreal_0(C))  => v3_pre_topc(k1_convex1(A, B, C), A)) ) ) ) ) ) ).
fof(t50_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v4_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & v1_xreal_0(C))  => v4_pre_topc(k1_convex1(A, B, C), A)) ) ) ) ) ) ).
fof(t51_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & v1_xreal_0(C))  => k1_convex1(A, k1_tops_1(A, B), C)=k1_tops_1(A, k1_convex1(A, B, C))) ) ) ) ) ) ).
fof(t52_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & v1_xreal_0(C))  => k1_convex1(A, k2_pre_topc(A, B), C)=k2_pre_topc(A, k1_convex1(A, B, C))) ) ) ) ) ) ).
fof(t53_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v7_pre_topc(A) => k1_convex1(A, k2_pre_topc(A, B), k5_numbers)=k2_pre_topc(A, k1_convex1(A, B, k5_numbers))) ) ) ) ) ).
fof(t54_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_connsp_2(C, A, B) =>  (! [D] :  ( ( ~ (v8_ordinal1(D))  & v1_xreal_0(D))  => m1_connsp_2(k1_convex1(A, C, D), A, k1_rlvect_1(A, B, D))) ) ) ) ) ) ) ) ).
fof(t55_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_connsp_2(B, A, k4_struct_0(A)) =>  (! [C] :  ( ( ~ (v8_ordinal1(C))  & v1_xreal_0(C))  => m1_connsp_2(k1_convex1(A, B, C), A, k4_struct_0(A))) ) ) ) ) ) ).
fof(t56_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_connsp_2(B, A, k4_struct_0(A)) =>  (? [C] :  ( (v3_pre_topc(C, A) & m1_connsp_2(C, A, k4_struct_0(A)))  &  (v2_rltopsp1(C, A) & r1_tarski(k7_rusub_4(A, C, C), B)) ) ) ) ) ) ) ).
fof(t57_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v2_compts_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v4_pre_topc(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( (r1_xboole_0(B, C) &  (! [D] :  (m1_connsp_2(D, A, k4_struct_0(A)) =>  ~ (r1_xboole_0(k7_rusub_4(A, B, D), k7_rusub_4(A, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_yellow13(B, A, k4_struct_0(A)) =>  (! [C] :  (m1_connsp_2(C, A, k4_struct_0(A)) =>  (? [D] :  (m1_connsp_2(D, A, k4_struct_0(A)) &  (r2_tarski(D, B) & r1_tarski(k2_pre_topc(A, D), C)) ) ) ) ) ) ) ) ) ).
fof(t59_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_connsp_2(B, A, k4_struct_0(A)) =>  (? [C] :  (m1_connsp_2(C, A, k4_struct_0(A)) & r1_tarski(k2_pre_topc(A, C), B)) ) ) ) ) ) ).
fof(t61_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k7_rusub_4(A, k1_tops_1(A, B), k1_tops_1(A, C)), k1_tops_1(A, k7_rusub_4(A, B, C)))) ) ) ) ) ) ).
fof(t62_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k7_rusub_4(A, k2_pre_topc(A, B), k2_pre_topc(A, C)), k2_pre_topc(A, k7_rusub_4(A, B, C)))) ) ) ) ) ) ).
fof(t63_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v3_rltopsp1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (r2_tarski(k4_struct_0(A), k1_tops_1(A, B)) => v3_rltopsp1(k1_tops_1(A, B), A)) ) ) ) ) ).
fof(t64_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_connsp_2(B, A, k4_struct_0(A)) =>  (? [C] :  (m1_connsp_2(C, A, k4_struct_0(A)) &  (v3_rltopsp1(C, A) & r1_tarski(C, B)) ) ) ) ) ) ) ).
fof(t65_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_connsp_2(B, A, k4_struct_0(A)) =>  ~ ( (v1_convex1(B, A) &  (! [C] :  (m1_connsp_2(C, A, k4_struct_0(A)) =>  ~ ( (v3_rltopsp1(C, A) &  (v1_convex1(C, A) & r1_tarski(C, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_yellow13(B, A, k4_struct_0(A)) & v4_rltopsp1(B, A)) ) ) ) ).
fof(t67_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  ~ ( (v8_rltopsp1(A) &  (! [B] :  (m1_yellow13(B, A, k4_struct_0(A)) =>  ~ (v1_rltopsp1(B, A)) ) ) ) ) ) ) ).
fof(t68_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_tarski(B, k1_rltopsp1(A, B, C))) ) ) ) ) ) ).
fof(t69_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_tarski(k1_rlvect_1(A, k3_rlvect_1(A, B, C), k7_xcmplx_0(1, 2)), k1_rltopsp1(A, B, C))) ) ) ) ) ) ).
fof(t70_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_rltopsp1(A, B, B)=k6_domain_1(u1_struct_0(A), B)) ) ) ) ).
fof(t71_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( (r2_tarski(k4_struct_0(A), k1_rltopsp1(A, B, C)) &  (! [D] :  (v1_xreal_0(D) =>  ( ~ (B=k1_rlvect_1(A, C, D))  &  ~ (C=k1_rlvect_1(A, B, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t72_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_tarski(B, k5_rltopsp1(A, B, C))) ) ) ) ) ) ).
fof(t73_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_tarski(k1_rltopsp1(A, B, C), k5_rltopsp1(A, B, C))) ) ) ) ) ) ).
fof(t74_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r2_tarski(D, k5_rltopsp1(A, B, C)) & r2_tarski(E, k5_rltopsp1(A, B, C)))  => r1_tarski(k5_rltopsp1(A, D, E), k5_rltopsp1(A, B, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r2_tarski(D, k5_rltopsp1(A, B, C)) & r2_tarski(E, k5_rltopsp1(A, B, C)))  =>  (D=E | k5_rltopsp1(A, D, E)=k5_rltopsp1(A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v10_rltopsp1(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & B=k5_rltopsp1(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(d16_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_rltopsp1(A, B, C, D) <=>  (? [E] :  ( (v10_rltopsp1(E, A) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(A))))  &  (r2_tarski(B, E) &  (r2_tarski(C, E) & r2_tarski(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_rltopsp1(A, B, C, D, E) <=>  (? [F] :  ( (v10_rltopsp1(F, A) & m1_subset_1(F, k1_zfmisc_1(u1_struct_0(A))))  &  (r2_tarski(B, F) &  (r2_tarski(C, F) &  (r2_tarski(D, F) & r2_tarski(E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t76_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ~ ( (r2_hidden(D, k1_rltopsp1(A, B, C)) &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r1_xxreal_0(k5_numbers, E) &  (r1_xxreal_0(E, 1) & D=k3_rlvect_1(A, k1_rlvect_1(A, B, k6_xcmplx_0(1, E)), k1_rlvect_1(A, C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t77_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_rltopsp1(A, B, B)=k6_domain_1(u1_struct_0(A), B)) ) ) ) ).
fof(t78_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  &  (v10_rltopsp1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  ( ~ (C=D)  & B=k5_rltopsp1(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t79_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_rltopsp1(A, B, C, D, E) =>  (r1_rltopsp1(A, B, C, D) & r1_rltopsp1(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t80_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v10_rltopsp1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r2_tarski(D, B))  =>  (C=D | B=k5_rltopsp1(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t81_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r1_rltopsp1(A, B, C, D) & r1_rltopsp1(A, B, C, E))  =>  (B=C | r2_rltopsp1(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_rltopsp1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k1_rltopsp1(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(commutativity_k1_rltopsp1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k1_rltopsp1(A, B, C)=k1_rltopsp1(A, C, B)) ) ).
fof(dt_k2_rltopsp1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k2_rltopsp1(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(abstractness_v5_rltopsp1, axiom,  (! [A] :  (l1_rltopsp1(A) =>  (v5_rltopsp1(A) => A=g1_rltopsp1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_rlvect_1(A), u1_pre_topc(A))) ) ) ).
fof(dt_l1_rltopsp1, axiom,  (! [A] :  (l1_rltopsp1(A) =>  (l1_rlvect_1(A) & l1_pre_topc(A)) ) ) ).
fof(existence_l1_rltopsp1, axiom,  (? [A] : l1_rltopsp1(A)) ).
fof(dt_g1_rltopsp1, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(B, A) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k1_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, A), A)))) )  & m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (v5_rltopsp1(g1_rltopsp1(A, B, C, D, E)) & l1_rltopsp1(g1_rltopsp1(A, B, C, D, E))) ) ) ).
fof(free_g1_rltopsp1, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(B, A) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k1_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, A), A)))) )  & m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [F, G, H, I, J] :  (g1_rltopsp1(A, B, C, D, E)=g1_rltopsp1(F, G, H, I, J) =>  (A=F &  (B=G &  (C=H &  (D=I & E=J) ) ) ) ) ) ) ) ).
fof(dt_k3_rltopsp1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_rltopsp1(A))  & m1_subset_1(B, u1_struct_0(A)))  =>  (v1_funct_1(k3_rltopsp1(A, B)) &  (v1_funct_2(k3_rltopsp1(A, B), u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(k3_rltopsp1(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ).
fof(dt_k4_rltopsp1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_rltopsp1(A))  & v1_xreal_0(B))  =>  (v1_funct_1(k4_rltopsp1(A, B)) &  (v1_funct_2(k4_rltopsp1(A, B), u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(k4_rltopsp1(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ).
fof(dt_k5_rltopsp1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k5_rltopsp1(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(commutativity_k5_rltopsp1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k5_rltopsp1(A, B, C)=k5_rltopsp1(A, C, B)) ) ).
fof(t4_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (D=a_3_0_rltopsp1(A, B, C) => k6_rusub_4(A, B, C)=k5_setfam_1(u1_struct_0(A), D)) ) ) ) ) ) ) ) ) ).
fof(d2_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_rltopsp1(A, B, C)=a_3_1_rltopsp1(A, B, C)) ) ) ) ) ) ).
fof(t43_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  ( (v1_finset_1(B) & B=a_1_0_rltopsp1(A))  => v9_rltopsp1(k5_setfam_1(u1_struct_0(A), B), A)) ) ) ) ) ).
fof(t44_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (B=a_1_1_rltopsp1(A) => m1_yellow13(B, A, k4_struct_0(A))) ) ) ) ) ).
fof(t45_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_yellow13(B, A, k4_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) =>  (C=a_2_0_rltopsp1(A, B) => m2_yellow13(C, A)) ) ) ) ) ) ) ).
fof(t60_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k2_pre_topc(A, B)=k1_setfam_1(a_2_1_rltopsp1(A, B))) ) ) ) ).
fof(d14_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k5_rltopsp1(A, B, C)=a_3_2_rltopsp1(A, B, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_rltopsp1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  & l2_algstr_0(B))  &  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (r2_hidden(A, a_3_0_rltopsp1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (A=k5_rusub_4(B, D, E) & r2_tarski(E, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_1_rltopsp1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_1_rltopsp1(B, C, D)) <=>  (? [E] :  (v1_xreal_0(E) &  (A=k3_rlvect_1(B, k1_rlvect_1(B, C, k6_xcmplx_0(1, E)), k1_rlvect_1(B, D, E)) &  (r1_xxreal_0(k5_numbers, E) & r1_xxreal_0(E, 1)) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_rltopsp1, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v6_rltopsp1(B) &  (v7_rltopsp1(B) & l1_rltopsp1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (r2_hidden(A, a_1_0_rltopsp1(B)) <=>  (? [C] :  ( (v9_rltopsp1(C, B) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  & A=C) ) ) ) ) ).
fof(fraenkel_a_1_1_rltopsp1, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v6_rltopsp1(B) &  (v7_rltopsp1(B) & l1_rltopsp1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (r2_hidden(A, a_1_1_rltopsp1(B)) <=>  (? [C] :  (m1_connsp_2(C, B, k4_struct_0(B)) & A=C) ) ) ) ) ).
fof(fraenkel_a_2_0_rltopsp1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v6_rltopsp1(B) &  (v7_rltopsp1(B) & l1_rltopsp1(B)) ) ) ) ) ) ) ) ) ) ) )  & m1_yellow13(C, B, k4_struct_0(B)))  =>  (r2_hidden(A, a_2_0_rltopsp1(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, u1_struct_0(B)) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))))  &  (A=k5_rusub_4(B, E, D) & r2_tarski(E, C)) ) ) ) ) ) ).
fof(fraenkel_a_2_1_rltopsp1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v6_rltopsp1(B) &  (v7_rltopsp1(B) & l1_rltopsp1(B)) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_1_rltopsp1(B, C)) <=>  (? [D] :  (m1_connsp_2(D, B, k4_struct_0(B)) & A=k7_rusub_4(B, C, D)) ) ) ) ) ).
fof(fraenkel_a_3_2_rltopsp1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) & m1_subset_1(D, u1_struct_0(B))) )  =>  (r2_hidden(A, a_3_2_rltopsp1(B, C, D)) <=>  (? [E] :  (v1_xreal_0(E) & A=k3_rlvect_1(B, k1_rlvect_1(B, C, k6_xcmplx_0(1, E)), k1_rlvect_1(B, D, E))) ) ) ) ) ).
fof(rc1_rlvect_1, axiom,  (? [A] :  (l1_rlvect_1(A) & v1_rlvect_1(A)) ) ).
fof(rc2_rlvect_1, axiom,  (? [A] :  (l1_rlvect_1(A) &  ~ (v2_struct_0(A)) ) ) ).
fof(fc1_rlvect_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k1_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, A), A)))) ) ) ) )  =>  ( ~ (v2_struct_0(g1_rlvect_1(A, B, C, D)))  & v1_rlvect_1(g1_rlvect_1(A, B, C, D))) ) ) ).
fof(fc2_rlvect_1, axiom,  (v13_struct_0(k2_rlvect_1, 1) & v1_rlvect_1(k2_rlvect_1)) ).
fof(rc3_rlvect_1, axiom,  (? [A] :  (l1_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  (v1_algstr_0(A) &  (v2_rlvect_1(A) & v3_rlvect_1(A)) ) ) ) ) ).
fof(rc4_rlvect_1, axiom,  (? [A] :  (l2_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  (v8_algstr_0(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) & v4_rlvect_1(A)) ) ) ) ) ) ) ).
fof(rc5_rlvect_1, axiom,  (? [A] :  (l1_rlvect_1(A) &  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v1_rlvect_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) & v8_rlvect_1(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rd1_rlvect_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  &  ( (v9_struct_0(B, A) & m1_subset_1(B, u1_struct_0(A)))  & m1_subset_1(C, u1_struct_0(A))) )  => k1_algstr_0(A, B, C)=C) ) ).
fof(rd2_rlvect_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  &  ( (v9_struct_0(B, A) & m1_subset_1(B, u1_struct_0(A)))  & m1_subset_1(C, u1_struct_0(A))) )  => k1_algstr_0(A, C, B)=C) ) ).
fof(rd3_rlvect_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) )  &  ( (v9_struct_0(B, A) & m1_subset_1(B, u1_struct_0(A)))  & v1_xreal_0(C)) )  => k1_rlvect_1(A, B, C)=B) ) ).
fof(rd4_rlvect_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  &  (v9_struct_0(B, A) & m1_subset_1(B, u1_struct_0(A))) )  => k4_algstr_0(A, B)=B) ) ).
fof(rd5_rlvect_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (v9_struct_0(C, A) & m1_subset_1(C, u1_struct_0(A))) ) )  => k5_algstr_0(A, B, C)=B) ) ).
fof(rd6_rlvect_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => k4_algstr_0(A, k4_algstr_0(A, B))=B) ) ).
fof(cc1_rlvect_1, axiom,  (! [A] :  (l2_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  & v9_rlvect_1(A))  =>  ( ~ (v2_struct_0(A))  & v4_rlvect_1(A)) ) ) ) ).
fof(cc2_rlvect_1, axiom,  (! [A] :  (l2_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) & v4_rlvect_1(A)) )  =>  ( ~ (v2_struct_0(A))  & v9_rlvect_1(A)) ) ) ) ).
fof(cc3_rlvect_1, axiom,  (! [A] :  (l2_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) & v2_rlvect_1(A)) )  =>  ( ~ (v2_struct_0(A))  & v12_algstr_0(A)) ) ) ) ).
fof(t1_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_struct_0(A, B)) ) ) ) ).
fof(d1_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) => k1_rlvect_1(A, B, C)=k1_binop_1(u1_rlvect_1(A), C, B)) ) ) ) ) ) ).
fof(t2_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_algstr_0(A, B, C)=k4_binop_1(u1_struct_0(A), u1_algstr_0(A), B, C)) ) ) ) ) ) ).
fof(d2_rlvect_1, axiom,  (! [A] :  (l1_algstr_0(A) =>  (v2_rlvect_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_algstr_0(A, B, C)=k1_algstr_0(A, C, B)) ) ) ) ) ) ) ).
fof(d3_rlvect_1, axiom,  (! [A] :  (l1_algstr_0(A) =>  (v3_rlvect_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_algstr_0(A, k1_algstr_0(A, B, C), D)=k1_algstr_0(A, B, k1_algstr_0(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(d4_rlvect_1, axiom,  (! [A] :  (l2_algstr_0(A) =>  (v4_rlvect_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_algstr_0(A, B, k4_struct_0(A))=B) ) ) ) ) ).
fof(d5_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (v5_rlvect_1(A) <=>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_rlvect_1(A, k1_algstr_0(A, C, D), B)=k1_algstr_0(A, k1_rlvect_1(A, C, B), k1_rlvect_1(A, D, B))) ) ) ) ) ) ) ) ) ).
fof(d6_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (v6_rlvect_1(A) <=>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_rlvect_1(A, D, k2_xcmplx_0(B, C))=k1_algstr_0(A, k1_rlvect_1(A, D, B), k1_rlvect_1(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(d7_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (v7_rlvect_1(A) <=>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_rlvect_1(A, D, k3_xcmplx_0(B, C))=k1_rlvect_1(A, k1_rlvect_1(A, D, C), B)) ) ) ) ) ) ) ) ) ).
fof(d8_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (v8_rlvect_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_rlvect_1(A, B, 1)=B) ) ) ) ) ).
fof(d9_rlvect_1, axiom, k2_rlvect_1=g1_rlvect_1(k1_tarski(k5_numbers), k5_funct_5, k9_funct_5, k10_funct_3(k1_numbers, k1_tarski(k5_numbers)))).
fof(t3_rlvect_1, axiom,  (! [A] :  ( (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) )  => v6_algstr_0(A)) ) ).
fof(t4_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k1_algstr_0(A, B, k4_struct_0(A))=B & k1_algstr_0(A, k4_struct_0(A), B)=B) ) ) ) ) ).
fof(d10_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( (v3_rlvect_1(A) &  (v4_rlvect_1(A) & v13_algstr_0(A)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (C=k4_algstr_0(A, B) <=> k1_algstr_0(A, B, C)=k4_struct_0(A)) ) ) ) ) ) ) ) ).
fof(d11_rlvect_1, axiom,  (! [A] :  (l2_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k5_algstr_0(A, B, C)=k1_algstr_0(A, B, k4_algstr_0(A, C))) ) ) ) ) ) ).
fof(t5_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k1_algstr_0(A, B, k4_algstr_0(A, B))=k4_struct_0(A) & k1_algstr_0(A, k4_algstr_0(A, B), B)=k4_struct_0(A)) ) ) ) ) ).
fof(t6_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k1_algstr_0(A, B, C)=k4_struct_0(A) => B=k4_algstr_0(A, C)) ) ) ) ) ) ) ).
fof(t7_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & k1_algstr_0(A, B, D)=C) ) ) ) ) ) ) ) ).
fof(t8_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (k1_algstr_0(A, B, D)=k1_algstr_0(A, B, E) | k1_algstr_0(A, D, B)=k1_algstr_0(A, E, B))  => D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (k1_algstr_0(A, B, C)=B | k1_algstr_0(A, C, B)=B)  => C=k4_struct_0(A)) ) ) ) ) ) ) ).
fof(t10_rlvect_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  ( (A=k5_numbers | C=k4_struct_0(B))  => k1_rlvect_1(B, C, A)=k4_struct_0(B)) ) ) ) ) ) ) ).
fof(t11_rlvect_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  ~ ( (k1_rlvect_1(B, C, A)=k4_struct_0(B) &  ( ~ (A=k5_numbers)  &  ~ (C=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ).
fof(t12_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  => k4_algstr_0(A, k4_struct_0(A))=k4_struct_0(A)) ) ).
fof(t13_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_algstr_0(A, B, k4_struct_0(A))=B) ) ) ) ).
fof(t14_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_algstr_0(A, k4_struct_0(A), B)=k4_algstr_0(A, B)) ) ) ) ).
fof(t15_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_algstr_0(A, B, B)=k4_struct_0(A)) ) ) ) ).
fof(t16_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k4_algstr_0(A, B)=k1_rlvect_1(A, B, k4_xcmplx_0(1))) ) ) ) ).
fof(t17_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k4_algstr_0(A, k4_algstr_0(A, B))=B) ) ) ) ).
fof(t18_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k4_algstr_0(A, B)=k4_algstr_0(A, C) => B=C) ) ) ) ) ) ) ).
fof(t19_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (B=k4_algstr_0(A, B) => B=k4_struct_0(A)) ) ) ) ) ).
fof(t20_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k1_algstr_0(A, B, B)=k4_struct_0(A) => B=k4_struct_0(A)) ) ) ) ) ).
fof(t21_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k5_algstr_0(A, B, C)=k4_struct_0(A) => B=C) ) ) ) ) ) ) ).
fof(t22_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & k5_algstr_0(A, C, D)=B) ) ) ) ) ) ) ) ).
fof(t23_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k5_algstr_0(A, B, C)=k5_algstr_0(A, B, D) => C=D) ) ) ) ) ) ) ) ) ).
fof(t24_rlvect_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k1_rlvect_1(B, k4_algstr_0(B, C), A)=k1_rlvect_1(B, C, k4_xcmplx_0(A))) ) ) ) ) ) ).
fof(t25_rlvect_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k1_rlvect_1(B, k4_algstr_0(B, C), A)=k4_algstr_0(B, k1_rlvect_1(B, C, A))) ) ) ) ) ) ).
fof(t26_rlvect_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k1_rlvect_1(B, k4_algstr_0(B, C), k4_xcmplx_0(A))=k1_rlvect_1(B, C, A)) ) ) ) ) ) ).
fof(t27_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k5_algstr_0(A, B, k1_algstr_0(A, C, D))=k5_algstr_0(A, k5_algstr_0(A, B, D), C)) ) ) ) ) ) ) ) ).
fof(t28_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) & l2_algstr_0(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k5_algstr_0(A, k1_algstr_0(A, B, C), D)=k1_algstr_0(A, B, k5_algstr_0(A, C, D))) ) ) ) ) ) ) ) ).
fof(t29_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k5_algstr_0(A, B, k5_algstr_0(A, C, D))=k3_rlvect_1(A, k5_algstr_0(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t30_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_algstr_0(A, k1_algstr_0(A, B, C))=k5_algstr_0(A, k4_algstr_0(A, C), B)) ) ) ) ) ) ).
fof(t31_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_algstr_0(A, k1_algstr_0(A, B, C))=k1_algstr_0(A, k4_algstr_0(A, C), k4_algstr_0(A, B))) ) ) ) ) ) ).
fof(t32_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k5_algstr_0(A, k4_algstr_0(A, B), C)=k5_algstr_0(A, k4_algstr_0(A, C), B)) ) ) ) ) ) ).
fof(t33_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_algstr_0(A, k5_algstr_0(A, B, C))=k1_algstr_0(A, C, k4_algstr_0(A, B))) ) ) ) ) ) ).
fof(t34_rlvect_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => k1_rlvect_1(B, k5_algstr_0(B, C, D), A)=k5_algstr_0(B, k1_rlvect_1(B, C, A), k1_rlvect_1(B, D, A))) ) ) ) ) ) ) ) ).
fof(t35_rlvect_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) & l1_rlvect_1(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) => k1_rlvect_1(C, D, k6_xcmplx_0(A, B))=k5_algstr_0(C, k1_rlvect_1(C, D, A), k1_rlvect_1(C, D, B))) ) ) ) ) ) ) ) ).
fof(t36_rlvect_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (k1_rlvect_1(B, C, A)=k1_rlvect_1(B, D, A) =>  (A=k5_numbers | C=D) ) ) ) ) ) ) ) ) ) ).
fof(t37_rlvect_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) & l1_rlvect_1(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (k1_rlvect_1(C, D, A)=k1_rlvect_1(C, D, B) =>  (D=k4_struct_0(C) | A=B) ) ) ) ) ) ) ) ) ) ).
fof(d12_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (C=k4_rlvect_1(A, B) <=>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, u1_struct_0(A))))) )  &  (C=k8_nat_1(u1_struct_0(A), D, k3_finseq_1(B)) &  (k8_nat_1(u1_struct_0(A), D, k5_numbers)=k4_struct_0(A) &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (F=k1_funct_1(B, k1_nat_1(E, 1)) =>  (r1_xxreal_0(k3_finseq_1(B), E) | k8_nat_1(u1_struct_0(A), D, k1_nat_1(E, 1))=k1_algstr_0(A, k8_nat_1(u1_struct_0(A), D, E), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  ( (k3_finseq_1(C)=k1_nat_1(k3_finseq_1(D), 1) &  (D=k5_relat_1(C, k4_finseq_1(D)) & B=k1_funct_1(C, k3_finseq_1(C))) )  => k4_rlvect_1(A, C)=k1_algstr_0(A, k4_rlvect_1(A, D), B)) ) ) ) ) ) ) ) ) ).
fof(t39_rlvect_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(B)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(B)) =>  ( (k3_finseq_1(C)=k3_finseq_1(D) &  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( (r2_tarski(E, k4_finseq_1(C)) & F=k1_funct_1(D, E))  => k1_funct_1(C, E)=k1_rlvect_1(B, F, A)) ) ) ) ) )  => k4_rlvect_1(B, C)=k1_rlvect_1(B, k4_rlvect_1(B, D), A)) ) ) ) ) ) ) ) ) ).
fof(t40_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (r2_tarski(D, k4_finseq_1(B)) & E=k1_funct_1(C, D))  => k1_funct_1(B, D)=k4_algstr_0(A, E)) ) ) ) ) )  => k4_rlvect_1(A, B)=k4_algstr_0(A, k4_rlvect_1(A, C))) ) ) ) ) ) ) ).
fof(t41_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) => k4_rlvect_1(A, k8_finseq_1(u1_struct_0(A), B, C))=k1_algstr_0(A, k4_rlvect_1(A, B), k4_rlvect_1(A, C))) ) ) ) ) ) ).
fof(t42_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  ( (k10_xtuple_0(B)=k10_xtuple_0(C) &  (v2_funct_1(B) & v2_funct_1(C)) )  => k4_rlvect_1(A, B)=k4_rlvect_1(A, C)) ) ) ) ) ) ) ).
fof(t43_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  => k4_rlvect_1(A, k6_finseq_1(u1_struct_0(A)))=k4_struct_0(A)) ) ).
fof(t44_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k4_rlvect_1(A, k12_finseq_1(u1_struct_0(A), B))=B) ) ) ) ).
fof(t45_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_rlvect_1(A, k2_finseq_4(u1_struct_0(A), B, C))=k1_algstr_0(A, B, C)) ) ) ) ) ) ).
fof(t46_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k4_rlvect_1(A, k3_finseq_4(u1_struct_0(A), B, C, D))=k1_algstr_0(A, k1_algstr_0(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t47_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) => k1_rlvect_1(A, k4_rlvect_1(A, k6_finseq_1(u1_struct_0(A))), B)=k4_struct_0(A)) ) ) ) ).
fof(t48_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_rlvect_1(A, k4_rlvect_1(A, k2_finseq_4(u1_struct_0(A), C, D)), B)=k3_rlvect_1(A, k1_rlvect_1(A, C, B), k1_rlvect_1(A, D, B))) ) ) ) ) ) ) ) ).
fof(t49_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k1_rlvect_1(A, k4_rlvect_1(A, k3_finseq_4(u1_struct_0(A), C, D, E)), B)=k3_rlvect_1(A, k3_rlvect_1(A, k1_rlvect_1(A, C, B), k1_rlvect_1(A, D, B)), k1_rlvect_1(A, E, B))) ) ) ) ) ) ) ) ) ) ).
fof(t50_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  => k4_algstr_0(A, k4_rlvect_1(A, k6_finseq_1(u1_struct_0(A))))=k4_struct_0(A)) ) ).
fof(t51_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k4_algstr_0(A, k4_rlvect_1(A, k12_finseq_1(u1_struct_0(A), B)))=k4_algstr_0(A, B)) ) ) ) ).
fof(t52_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_algstr_0(A, k4_rlvect_1(A, k2_finseq_4(u1_struct_0(A), B, C)))=k5_algstr_0(A, k4_algstr_0(A, B), C)) ) ) ) ) ) ).
fof(t53_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k4_algstr_0(A, k4_rlvect_1(A, k3_finseq_4(u1_struct_0(A), B, C, D)))=k5_algstr_0(A, k5_algstr_0(A, k4_algstr_0(A, B), C), D)) ) ) ) ) ) ) ) ).
fof(t54_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_rlvect_1(A, k2_finseq_4(u1_struct_0(A), B, C))=k4_rlvect_1(A, k2_finseq_4(u1_struct_0(A), C, B))) ) ) ) ) ) ).
fof(t55_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_rlvect_1(A, k2_finseq_4(u1_struct_0(A), B, C))=k1_algstr_0(A, k4_rlvect_1(A, k12_finseq_1(u1_struct_0(A), B)), k4_rlvect_1(A, k12_finseq_1(u1_struct_0(A), C)))) ) ) ) ) ) ).
fof(t57_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k4_rlvect_1(A, k2_finseq_4(u1_struct_0(A), k4_struct_0(A), B))=B & k4_rlvect_1(A, k2_finseq_4(u1_struct_0(A), B, k4_struct_0(A)))=B) ) ) ) ) ).
fof(t58_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k4_rlvect_1(A, k2_finseq_4(u1_struct_0(A), B, k4_algstr_0(A, B)))=k4_struct_0(A) & k4_rlvect_1(A, k2_finseq_4(u1_struct_0(A), k4_algstr_0(A, B), B))=k4_struct_0(A)) ) ) ) ) ).
fof(t59_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_rlvect_1(A, k2_finseq_4(u1_struct_0(A), B, k4_algstr_0(A, C)))=k5_algstr_0(A, B, C)) ) ) ) ) ) ).
fof(t60_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_rlvect_1(A, k2_finseq_4(u1_struct_0(A), k4_algstr_0(A, B), k4_algstr_0(A, C)))=k4_algstr_0(A, k1_algstr_0(A, C, B))) ) ) ) ) ) ).
fof(t61_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k4_rlvect_1(A, k2_finseq_4(u1_struct_0(A), B, B))=k1_rlvect_1(A, B, 2)) ) ) ) ).
fof(t62_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k4_rlvect_1(A, k2_finseq_4(u1_struct_0(A), k4_algstr_0(A, B), k4_algstr_0(A, B)))=k1_rlvect_1(A, B, k4_xcmplx_0(2))) ) ) ) ).
fof(t63_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k4_rlvect_1(A, k3_finseq_4(u1_struct_0(A), C, B, D))=k1_algstr_0(A, k1_algstr_0(A, k4_rlvect_1(A, k12_finseq_1(u1_struct_0(A), C)), k4_rlvect_1(A, k12_finseq_1(u1_struct_0(A), B))), k4_rlvect_1(A, k12_finseq_1(u1_struct_0(A), D)))) ) ) ) ) ) ) ) ).
fof(t64_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k4_rlvect_1(A, k3_finseq_4(u1_struct_0(A), C, B, D))=k1_algstr_0(A, k4_rlvect_1(A, k2_finseq_4(u1_struct_0(A), C, B)), D)) ) ) ) ) ) ) ) ).
fof(t65_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k4_rlvect_1(A, k3_finseq_4(u1_struct_0(A), C, B, D))=k3_rlvect_1(A, k4_rlvect_1(A, k2_finseq_4(u1_struct_0(A), B, D)), C)) ) ) ) ) ) ) ) ).
fof(t66_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k4_rlvect_1(A, k3_finseq_4(u1_struct_0(A), C, B, D))=k3_rlvect_1(A, k4_rlvect_1(A, k2_finseq_4(u1_struct_0(A), C, D)), B)) ) ) ) ) ) ) ) ).
fof(t67_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k4_rlvect_1(A, k3_finseq_4(u1_struct_0(A), C, B, D))=k4_rlvect_1(A, k3_finseq_4(u1_struct_0(A), C, D, B))) ) ) ) ) ) ) ) ).
fof(t68_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k4_rlvect_1(A, k3_finseq_4(u1_struct_0(A), C, B, D))=k4_rlvect_1(A, k3_finseq_4(u1_struct_0(A), B, C, D))) ) ) ) ) ) ) ) ).
fof(t69_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k4_rlvect_1(A, k3_finseq_4(u1_struct_0(A), C, B, D))=k4_rlvect_1(A, k3_finseq_4(u1_struct_0(A), B, D, C))) ) ) ) ) ) ) ) ).
fof(t70_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k4_rlvect_1(A, k3_finseq_4(u1_struct_0(A), C, B, D))=k4_rlvect_1(A, k3_finseq_4(u1_struct_0(A), D, B, C))) ) ) ) ) ) ) ) ).
fof(t72_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k4_rlvect_1(A, k3_finseq_4(u1_struct_0(A), k4_struct_0(A), k4_struct_0(A), B))=B &  (k4_rlvect_1(A, k3_finseq_4(u1_struct_0(A), k4_struct_0(A), B, k4_struct_0(A)))=B & k4_rlvect_1(A, k3_finseq_4(u1_struct_0(A), B, k4_struct_0(A), k4_struct_0(A)))=B) ) ) ) ) ) ).
fof(t73_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k4_rlvect_1(A, k3_finseq_4(u1_struct_0(A), k4_struct_0(A), C, B))=k1_algstr_0(A, C, B) &  (k4_rlvect_1(A, k3_finseq_4(u1_struct_0(A), C, B, k4_struct_0(A)))=k1_algstr_0(A, C, B) & k4_rlvect_1(A, k3_finseq_4(u1_struct_0(A), C, k4_struct_0(A), B))=k1_algstr_0(A, C, B)) ) ) ) ) ) ) ) ).
fof(t74_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k4_rlvect_1(A, k3_finseq_4(u1_struct_0(A), B, B, B))=k1_rlvect_1(A, B, 3)) ) ) ) ).
fof(t75_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (k3_finseq_1(B)=k5_numbers => k4_rlvect_1(A, B)=k4_struct_0(A)) ) ) ) ) ).
fof(t76_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (k3_finseq_1(B)=1 => k4_rlvect_1(A, B)=k1_funct_1(B, 1)) ) ) ) ) ).
fof(t77_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (k3_finseq_1(B)=2 &  (C=k1_funct_1(B, 1) & D=k1_funct_1(B, 2)) )  => k4_rlvect_1(A, B)=k1_algstr_0(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t78_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (k3_finseq_1(B)=3 &  (D=k1_funct_1(B, 1) &  (E=k1_funct_1(B, 2) & C=k1_funct_1(B, 3)) ) )  => k4_rlvect_1(A, B)=k1_algstr_0(A, k1_algstr_0(A, D, E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (v9_rlvect_1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k1_algstr_0(A, B, k4_struct_0(A))=B & k1_algstr_0(A, k4_struct_0(A), B)=B) ) ) ) ) ) ).
fof(t79_rlvect_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k1_rlvect_1(B, C, k4_xcmplx_0(A))=k4_algstr_0(B, k1_rlvect_1(B, C, A))) ) ) ) ) ) ).
fof(t80_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  => k4_algstr_0(A, k4_rlvect_1(A, k6_finseq_1(u1_struct_0(A))))=k4_struct_0(A)) ) ).
fof(t81_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_algstr_0(A, k4_rlvect_1(A, k2_finseq_4(u1_struct_0(A), B, C)))=k5_algstr_0(A, k4_algstr_0(A, B), C)) ) ) ) ) ) ).
fof(t82_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k4_algstr_0(A, k4_rlvect_1(A, k3_finseq_4(u1_struct_0(A), B, C, D)))=k5_algstr_0(A, k5_algstr_0(A, k4_algstr_0(A, B), C), D)) ) ) ) ) ) ) ) ).
fof(t83_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k4_rlvect_1(A, k2_finseq_4(u1_struct_0(A), B, k4_algstr_0(A, B)))=k4_struct_0(A) & k4_rlvect_1(A, k2_finseq_4(u1_struct_0(A), k4_algstr_0(A, B), B))=k4_struct_0(A)) ) ) ) ) ).
fof(t84_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k4_rlvect_1(A, k2_finseq_4(u1_struct_0(A), B, k4_algstr_0(A, C)))=k5_algstr_0(A, B, C) & k4_rlvect_1(A, k2_finseq_4(u1_struct_0(A), k4_algstr_0(A, C), B))=k5_algstr_0(A, B, C)) ) ) ) ) ) ) ).
fof(t85_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k4_rlvect_1(A, k2_finseq_4(u1_struct_0(A), k4_algstr_0(A, B), k4_algstr_0(A, C)))=k4_algstr_0(A, k3_rlvect_1(A, B, C)) & k4_rlvect_1(A, k2_finseq_4(u1_struct_0(A), k4_algstr_0(A, C), k4_algstr_0(A, B)))=k4_algstr_0(A, k3_rlvect_1(A, B, C))) ) ) ) ) ) ) ).
fof(abstractness_v1_rlvect_1, axiom,  (! [A] :  (l1_rlvect_1(A) =>  (v1_rlvect_1(A) => A=g1_rlvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_rlvect_1(A))) ) ) ).
fof(dt_l1_rlvect_1, axiom,  (! [A] :  (l1_rlvect_1(A) => l2_algstr_0(A)) ) ).
fof(existence_l1_rlvect_1, axiom,  (? [A] : l1_rlvect_1(A)) ).
fof(dt_g1_rlvect_1, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(B, A) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k1_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, A), A)))) ) ) )  =>  (v1_rlvect_1(g1_rlvect_1(A, B, C, D)) & l1_rlvect_1(g1_rlvect_1(A, B, C, D))) ) ) ).
fof(free_g1_rlvect_1, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(B, A) &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k1_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, A), A)))) ) ) )  =>  (! [E, F, G, H] :  (g1_rlvect_1(A, B, C, D)=g1_rlvect_1(E, F, G, H) =>  (A=E &  (B=F &  (C=G & D=H) ) ) ) ) ) ) ).
fof(dt_u1_rlvect_1, axiom,  (! [A] :  (l1_rlvect_1(A) =>  (v1_funct_1(u1_rlvect_1(A)) &  (v1_funct_2(u1_rlvect_1(A), k2_zfmisc_1(k1_numbers, u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(u1_rlvect_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(dt_k1_rlvect_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  &  (m1_subset_1(B, u1_struct_0(A)) & v1_xreal_0(C)) )  => m1_subset_1(k1_rlvect_1(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k2_rlvect_1, axiom,  (v1_rlvect_1(k2_rlvect_1) & l1_rlvect_1(k2_rlvect_1)) ).
fof(dt_k3_rlvect_1, axiom,  (! [A, B, C] :  ( ( (v2_rlvect_1(A) & l1_algstr_0(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k3_rlvect_1(A, B, C), u1_struct_0(A))) ) ).
fof(commutativity_k3_rlvect_1, axiom,  (! [A, B, C] :  ( ( (v2_rlvect_1(A) & l1_algstr_0(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k3_rlvect_1(A, B, C)=k3_rlvect_1(A, C, B)) ) ).
fof(redefinition_k3_rlvect_1, axiom,  (! [A, B, C] :  ( ( (v2_rlvect_1(A) & l1_algstr_0(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k3_rlvect_1(A, B, C)=k1_algstr_0(A, B, C)) ) ).
fof(dt_k4_rlvect_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  (v1_relat_1(B) &  (v5_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) )  => m1_subset_1(k4_rlvect_1(A, B), u1_struct_0(A))) ) ).
fof(fc1_rlvect_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  & m1_rlvect_2(B, A))  => v1_finset_1(k13_pre_poly(B))) ) ).
fof(fc2_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  ~ (v1_xboole_0(k11_rlvect_2(A))) ) ) ).
fof(fc3_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k16_rlvect_2(A)))  & v1_rlvect_1(k16_rlvect_2(A))) ) ) ).
fof(fc4_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (v13_algstr_0(k16_rlvect_2(A)) &  (v2_rlvect_1(k16_rlvect_2(A)) &  (v3_rlvect_1(k16_rlvect_2(A)) &  (v4_rlvect_1(k16_rlvect_2(A)) &  (v5_rlvect_1(k16_rlvect_2(A)) &  (v6_rlvect_1(k16_rlvect_2(A)) &  (v7_rlvect_1(k16_rlvect_2(A)) & v8_rlvect_1(k16_rlvect_2(A))) ) ) ) ) ) ) ) ) ).
fof(d1_rlvect_2, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (r1_struct_0(A, B) => k1_rlvect_2(A, B)=B) ) ) ) ).
fof(t1_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_rlvect_2(A, B)=B) ) ) ) ).
fof(t2_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (k3_finseq_1(B)=k3_finseq_1(D) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k1_relset_1(k4_ordinal1, B)) => k1_funct_1(D, E)=k3_rlvect_1(A, k7_partfun1(u1_struct_0(A), B, E), k7_partfun1(u1_struct_0(A), C, E))) ) ) ) )  => k4_rlvect_1(A, D)=k3_rlvect_1(A, k4_rlvect_1(A, B), k4_rlvect_1(A, C))) ) ) ) ) ) ) ) ) ).
fof(t3_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  ( (k3_finseq_1(C)=k3_finseq_1(D) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k1_relset_1(k4_ordinal1, C)) => k1_funct_1(D, E)=k1_rlvect_1(A, k7_partfun1(u1_struct_0(A), C, E), B)) ) ) )  => k4_rlvect_1(A, D)=k1_rlvect_1(A, k4_rlvect_1(A, C), B)) ) ) ) ) ) ) ) ) ).
fof(t4_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k1_relset_1(k4_ordinal1, B)) => k1_funct_1(C, D)=k4_algstr_0(A, k7_partfun1(u1_struct_0(A), B, D))) ) ) )  => k4_rlvect_1(A, C)=k4_algstr_0(A, k4_rlvect_1(A, B))) ) ) ) ) ) ) ).
fof(t5_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (k3_finseq_1(B)=k3_finseq_1(D) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k1_relset_1(k4_ordinal1, B)) => k1_funct_1(D, E)=k5_algstr_0(A, k7_partfun1(u1_struct_0(A), B, E), k7_partfun1(u1_struct_0(A), C, E))) ) ) ) )  => k4_rlvect_1(A, D)=k5_algstr_0(A, k4_rlvect_1(A, B), k4_rlvect_1(A, C))) ) ) ) ) ) ) ) ) ).
fof(t6_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_relset_1(k4_ordinal1, B), k1_relset_1(k4_ordinal1, B)) &  (v3_funct_2(D, k1_relset_1(k4_ordinal1, B), k1_relset_1(k4_ordinal1, B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_relset_1(k4_ordinal1, B), k1_relset_1(k4_ordinal1, B))))) ) )  =>  ( (k3_finseq_1(B)=k3_finseq_1(C) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k1_relset_1(k4_ordinal1, C)) => k1_funct_1(C, E)=k1_funct_1(B, k1_funct_1(D, E))) ) ) )  => k4_rlvect_1(A, B)=k4_rlvect_1(A, C)) ) ) ) ) ) ) ) ) ).
fof(t7_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_relset_1(k4_ordinal1, B), k1_relset_1(k4_ordinal1, B)) &  (v3_funct_2(D, k1_relset_1(k4_ordinal1, B), k1_relset_1(k4_ordinal1, B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_relset_1(k4_ordinal1, B), k1_relset_1(k4_ordinal1, B))))) ) )  =>  (C=k1_partfun1(k1_relset_1(k4_ordinal1, B), k1_relset_1(k4_ordinal1, B), k4_ordinal1, u1_struct_0(A), D, B) => k4_rlvect_1(A, B)=k4_rlvect_1(A, C)) ) ) ) ) ) ) ) ) ).
fof(d2_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ( (v2_rlvect_1(A) &  (v3_rlvect_1(A) & v4_rlvect_1(A)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (C=k2_rlvect_2(A, B) <=>  (? [D] :  (m2_finseq_1(D, u1_struct_0(A)) &  (k2_relset_1(u1_struct_0(A), D)=B &  (v2_funct_1(D) & C=k4_rlvect_1(A, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  => k2_rlvect_2(A, k1_struct_0(A))=k4_struct_0(A)) ) ).
fof(t9_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_rlvect_2(A, k6_domain_1(u1_struct_0(A), B))=B) ) ) ) ).
fof(t10_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (B=C)  => k2_rlvect_2(A, k7_domain_1(u1_struct_0(A), B, C))=k3_rlvect_1(A, B, C)) ) ) ) ) ) ) ).
fof(t11_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (B=C)  &  ( ~ (C=D)  &  ( ~ (B=D)  &  ~ (k2_rlvect_2(A, k8_domain_1(u1_struct_0(A), B, C, D))=k3_rlvect_1(A, k3_rlvect_1(A, B, C), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (r1_xboole_0(C, B) => k2_rlvect_2(A, k4_subset_1(u1_struct_0(A), C, B))=k3_rlvect_1(A, k2_rlvect_2(A, C), k2_rlvect_2(A, B))) ) ) ) ) ) ) ).
fof(t13_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  => k2_rlvect_2(A, k4_subset_1(u1_struct_0(A), C, B))=k5_algstr_0(A, k3_rlvect_1(A, k2_rlvect_2(A, C), k2_rlvect_2(A, B)), k2_rlvect_2(A, k9_subset_1(u1_struct_0(A), C, B)))) ) ) ) ) ) ).
fof(t14_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  => k2_rlvect_2(A, k9_subset_1(u1_struct_0(A), C, B))=k5_algstr_0(A, k3_rlvect_1(A, k2_rlvect_2(A, C), k2_rlvect_2(A, B)), k2_rlvect_2(A, k4_subset_1(u1_struct_0(A), C, B)))) ) ) ) ) ) ).
fof(t15_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  => k2_rlvect_2(A, k7_subset_1(u1_struct_0(A), C, B))=k5_algstr_0(A, k2_rlvect_2(A, k4_subset_1(u1_struct_0(A), C, B)), k2_rlvect_2(A, B))) ) ) ) ) ) ).
fof(t16_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  => k2_rlvect_2(A, k7_subset_1(u1_struct_0(A), C, B))=k5_algstr_0(A, k2_rlvect_2(A, C), k2_rlvect_2(A, k9_subset_1(u1_struct_0(A), C, B)))) ) ) ) ) ) ).
fof(t17_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) ) )  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  => k2_rlvect_2(A, k5_subset_1(u1_struct_0(A), C, B))=k5_algstr_0(A, k2_rlvect_2(A, k4_subset_1(u1_struct_0(A), C, B)), k2_rlvect_2(A, k9_subset_1(u1_struct_0(A), C, B)))) ) ) ) ) ) ).
fof(t18_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) ) )  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  => k2_rlvect_2(A, k5_subset_1(u1_struct_0(A), C, B))=k3_rlvect_1(A, k2_rlvect_2(A, k7_subset_1(u1_struct_0(A), C, B)), k2_rlvect_2(A, k7_subset_1(u1_struct_0(A), B, C)))) ) ) ) ) ) ).
fof(d3_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  (m2_funct_2(B, u1_struct_0(A), k1_numbers, k9_funct_2(u1_struct_0(A), k1_numbers)) =>  (m1_rlvect_2(B, A) <=>  (? [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ~ (r2_tarski(D, C))  => k3_funct_2(u1_struct_0(A), k1_numbers, B, D)=k5_numbers) ) ) ) ) ) ) ) ) ) ).
fof(t19_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k3_funct_2(u1_struct_0(A), k1_numbers, B, C)=k5_numbers <=>  ~ (r2_tarski(C, k3_rlvect_2(A, B))) ) ) ) ) ) ) ) ).
fof(d5_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (B=k4_rlvect_2(A) <=> k3_rlvect_2(A, B)=k1_xboole_0) ) ) ) ) ).
fof(t20_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k1_numbers, k4_rlvect_2(A), B)=k5_numbers) ) ) ) ).
fof(d6_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_rlvect_2(C, A) =>  (m2_rlvect_2(C, A, B) <=> r1_tarski(k3_rlvect_2(A, C), B)) ) ) ) ) ) ) ).
fof(t21_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m2_rlvect_2(D, A, B) =>  (r1_tarski(B, C) => m2_rlvect_2(D, A, C)) ) ) ) ) ) ) ) ) ).
fof(t22_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => m2_rlvect_2(k4_rlvect_2(A), A, B)) ) ) ) ).
fof(t23_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_rlvect_2(B, A, k1_subset_1(u1_struct_0(A))) => r2_funct_2(u1_struct_0(A), k1_numbers, B, k4_rlvect_2(A))) ) ) ) ).
fof(d7_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (D=k5_rlvect_2(A, B, C) <=>  (k3_finseq_1(D)=k3_finseq_1(B) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k1_relset_1(k4_ordinal1, D)) => k1_funct_1(D, E)=k1_rlvect_1(A, k7_partfun1(u1_struct_0(A), B, E), k3_funct_2(u1_struct_0(A), k1_numbers, C, k7_partfun1(u1_struct_0(A), B, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_rlvect_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_numbers)))) )  =>  ( (r2_tarski(A, k1_relset_1(k4_ordinal1, D)) & C=k1_funct_1(D, A))  => k1_funct_1(k5_rlvect_2(B, D, E), A)=k1_rlvect_1(B, C, k3_funct_2(u1_struct_0(B), k1_numbers, E, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  => r2_relset_1(k4_ordinal1, u1_struct_0(A), k5_rlvect_2(A, k2_pre_poly(u1_struct_0(A)), B), k2_pre_poly(u1_struct_0(A)))) ) ) ) ).
fof(t26_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  => r2_relset_1(k4_ordinal1, u1_struct_0(A), k5_rlvect_2(A, k3_pre_poly(u1_struct_0(A), B), C), k3_pre_poly(u1_struct_0(A), k1_rlvect_1(A, B, k3_funct_2(u1_struct_0(A), k1_numbers, C, B))))) ) ) ) ) ) ).
fof(t27_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  => r2_relset_1(k4_ordinal1, u1_struct_0(A), k5_rlvect_2(A, k2_finseq_4(u1_struct_0(A), B, C), D), k2_finseq_4(u1_struct_0(A), k1_rlvect_1(A, B, k3_funct_2(u1_struct_0(A), k1_numbers, D, B)), k1_rlvect_1(A, C, k3_funct_2(u1_struct_0(A), k1_numbers, D, C))))) ) ) ) ) ) ) ) ).
fof(t28_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  => r2_relset_1(k4_ordinal1, u1_struct_0(A), k5_rlvect_2(A, k3_finseq_4(u1_struct_0(A), B, C, D), E), k3_finseq_4(u1_struct_0(A), k1_rlvect_1(A, B, k3_funct_2(u1_struct_0(A), k1_numbers, E, B)), k1_rlvect_1(A, C, k3_funct_2(u1_struct_0(A), k1_numbers, E, C)), k1_rlvect_1(A, D, k3_funct_2(u1_struct_0(A), k1_numbers, E, D))))) ) ) ) ) ) ) ) ) ) ).
fof(d8_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (C=k6_rlvect_2(A, B) <=>  (? [D] :  (m2_finseq_1(D, u1_struct_0(A)) &  (v2_funct_1(D) &  (k2_relset_1(u1_struct_0(A), D)=k3_rlvect_2(A, B) & C=k4_rlvect_1(A, k5_rlvect_2(A, D, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ( ~ (B=k1_xboole_0)  & v1_rlsub_1(B, A))  <=>  (! [C] :  (m2_rlvect_2(C, A, B) => r2_tarski(k6_rlvect_2(A, C), B)) ) ) ) ) ) ) ).
fof(t30_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  => k6_rlvect_2(A, k4_rlvect_2(A))=k4_struct_0(A)) ) ).
fof(t31_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_rlvect_2(B, A, k1_subset_1(u1_struct_0(A))) => k6_rlvect_2(A, B)=k4_struct_0(A)) ) ) ) ).
fof(t32_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_rlvect_2(C, A, k6_domain_1(u1_struct_0(A), B)) => k6_rlvect_2(A, C)=k1_rlvect_1(A, B, k3_funct_2(u1_struct_0(A), k1_numbers, C, B))) ) ) ) ) ) ).
fof(t33_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (B=C)  =>  (! [D] :  (m2_rlvect_2(D, A, k7_domain_1(u1_struct_0(A), B, C)) => k6_rlvect_2(A, D)=k3_rlvect_1(A, k1_rlvect_1(A, B, k3_funct_2(u1_struct_0(A), k1_numbers, D, B)), k1_rlvect_1(A, C, k3_funct_2(u1_struct_0(A), k1_numbers, D, C)))) ) ) ) ) ) ) ) ) ).
fof(t34_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (k3_rlvect_2(A, B)=k1_xboole_0 => k6_rlvect_2(A, B)=k4_struct_0(A)) ) ) ) ) ).
fof(t35_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_rlvect_2(C, A) =>  (k3_rlvect_2(A, C)=k6_domain_1(u1_struct_0(A), B) => k6_rlvect_2(A, C)=k1_rlvect_1(A, B, k3_funct_2(u1_struct_0(A), k1_numbers, C, B))) ) ) ) ) ) ) ).
fof(t36_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_rlvect_2(D, A) =>  (k3_rlvect_2(A, D)=k7_domain_1(u1_struct_0(A), B, C) =>  (B=C | k6_rlvect_2(A, D)=k3_rlvect_1(A, k1_rlvect_1(A, B, k3_funct_2(u1_struct_0(A), k1_numbers, D, B)), k1_rlvect_1(A, C, k3_funct_2(u1_struct_0(A), k1_numbers, D, C)))) ) ) ) ) ) ) ) ) ) ).
fof(d9_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (! [C] :  (m1_rlvect_2(C, A) =>  (r1_rlvect_2(A, B, C) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k1_numbers, B, D)=k3_funct_2(u1_struct_0(A), k1_numbers, C, D)) ) ) ) ) ) ) ) ) ).
fof(d10_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (! [C] :  (m1_rlvect_2(C, A) =>  (! [D] :  (m1_rlvect_2(D, A) =>  (D=k7_rlvect_2(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k1_numbers, D, E)=k3_real_1(k3_funct_2(u1_struct_0(A), k1_numbers, B, E), k3_funct_2(u1_struct_0(A), k1_numbers, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (! [C] :  (m1_rlvect_2(C, A) => r1_tarski(k3_rlvect_2(A, k7_rlvect_2(A, B, C)), k4_subset_1(u1_struct_0(A), k3_rlvect_2(A, B), k3_rlvect_2(A, C)))) ) ) ) ) ) ).
fof(t38_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_rlvect_2(C, A) =>  (! [D] :  (m1_rlvect_2(D, A) =>  ( (m2_rlvect_2(C, A, B) & m2_rlvect_2(D, A, B))  => m2_rlvect_2(k7_rlvect_2(A, C, D), A, B)) ) ) ) ) ) ) ) ) ).
fof(t39_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (! [C] :  (m1_rlvect_2(C, A) => r1_rlvect_2(A, k7_rlvect_2(A, B, C), k7_rlvect_2(A, C, B))) ) ) ) ) ) ).
fof(t40_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (! [C] :  (m1_rlvect_2(C, A) =>  (! [D] :  (m1_rlvect_2(D, A) => r1_rlvect_2(A, k7_rlvect_2(A, B, k7_rlvect_2(A, C, D)), k7_rlvect_2(A, k7_rlvect_2(A, B, C), D))) ) ) ) ) ) ) ) ).
fof(t41_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (r1_rlvect_2(A, k7_rlvect_2(A, B, k4_rlvect_2(A)), B) & r1_rlvect_2(A, k7_rlvect_2(A, k4_rlvect_2(A), B), B)) ) ) ) ) ).
fof(d11_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_rlvect_2(C, A) =>  (! [D] :  (m1_rlvect_2(D, A) =>  (D=k8_rlvect_2(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k1_numbers, D, E)=k3_xcmplx_0(B, k3_funct_2(u1_struct_0(A), k1_numbers, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_rlvect_2(C, A) =>  ( ~ (B=k5_numbers)  => k3_rlvect_2(A, k8_rlvect_2(A, B, C))=k3_rlvect_2(A, C)) ) ) ) ) ) ) ).
fof(t43_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) => r1_rlvect_2(A, k8_rlvect_2(A, k5_numbers, B), k4_rlvect_2(A))) ) ) ) ).
fof(t44_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_rlvect_2(D, A) =>  (m2_rlvect_2(D, A, C) => m2_rlvect_2(k8_rlvect_2(A, B, D), A, C)) ) ) ) ) ) ) ) ) ).
fof(t45_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_rlvect_2(D, A) => r1_rlvect_2(A, k8_rlvect_2(A, k2_xcmplx_0(B, C), D), k7_rlvect_2(A, k8_rlvect_2(A, B, D), k8_rlvect_2(A, C, D)))) ) ) ) ) ) ) ) ).
fof(t46_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_rlvect_2(C, A) =>  (! [D] :  (m1_rlvect_2(D, A) => r1_rlvect_2(A, k8_rlvect_2(A, B, k7_rlvect_2(A, C, D)), k7_rlvect_2(A, k8_rlvect_2(A, B, C), k8_rlvect_2(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t47_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_rlvect_2(D, A) => r1_rlvect_2(A, k8_rlvect_2(A, B, k8_rlvect_2(A, C, D)), k8_rlvect_2(A, k3_xcmplx_0(B, C), D))) ) ) ) ) ) ) ) ).
fof(t48_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) => r1_rlvect_2(A, k8_rlvect_2(A, 1, B), B)) ) ) ) ).
fof(d12_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) => k9_rlvect_2(A, B)=k8_rlvect_2(A, k4_xcmplx_0(1), B)) ) ) ) ).
fof(t49_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_rlvect_2(C, A) => k3_funct_2(u1_struct_0(A), k1_numbers, k9_rlvect_2(A, C), B)=k1_real_1(k3_funct_2(u1_struct_0(A), k1_numbers, C, B))) ) ) ) ) ) ).
fof(t50_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (! [C] :  (m1_rlvect_2(C, A) =>  (r1_rlvect_2(A, k7_rlvect_2(A, B, C), k4_rlvect_2(A)) => r1_rlvect_2(A, C, k9_rlvect_2(A, B))) ) ) ) ) ) ) ).
fof(t51_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) => k3_rlvect_2(A, k9_rlvect_2(A, B))=k3_rlvect_2(A, B)) ) ) ) ).
fof(t52_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_rlvect_2(C, A) =>  (m2_rlvect_2(C, A, B) => m2_rlvect_2(k9_rlvect_2(A, C), A, B)) ) ) ) ) ) ) ).
fof(t53_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) => r1_rlvect_2(A, k9_rlvect_2(A, k9_rlvect_2(A, B)), B)) ) ) ) ).
fof(d13_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (! [C] :  (m1_rlvect_2(C, A) => k10_rlvect_2(A, B, C)=k7_rlvect_2(A, B, k9_rlvect_2(A, C))) ) ) ) ) ) ).
fof(t54_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_rlvect_2(C, A) =>  (! [D] :  (m1_rlvect_2(D, A) => k3_funct_2(u1_struct_0(A), k1_numbers, k10_rlvect_2(A, C, D), B)=k5_real_1(k3_funct_2(u1_struct_0(A), k1_numbers, C, B), k3_funct_2(u1_struct_0(A), k1_numbers, D, B))) ) ) ) ) ) ) ) ).
fof(t55_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (! [C] :  (m1_rlvect_2(C, A) => r1_tarski(k3_rlvect_2(A, k10_rlvect_2(A, B, C)), k4_subset_1(u1_struct_0(A), k3_rlvect_2(A, B), k3_rlvect_2(A, C)))) ) ) ) ) ) ).
fof(t56_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_rlvect_2(C, A) =>  (! [D] :  (m1_rlvect_2(D, A) =>  ( (m2_rlvect_2(C, A, B) & m2_rlvect_2(D, A, B))  => m2_rlvect_2(k10_rlvect_2(A, C, D), A, B)) ) ) ) ) ) ) ) ) ).
fof(t57_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) => r1_rlvect_2(A, k10_rlvect_2(A, B, B), k4_rlvect_2(A))) ) ) ) ).
fof(d14_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (B=k11_rlvect_2(A) <=>  (! [C] :  (r2_tarski(C, B) <=> m1_rlvect_2(C, A)) ) ) ) ) ) ).
fof(d15_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k11_rlvect_2(A)) => k12_rlvect_2(A, B)=B) ) ) ) ).
fof(d16_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) => k13_rlvect_2(A, B)=B) ) ) ) ).
fof(d17_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k11_rlvect_2(A), k11_rlvect_2(A)), k11_rlvect_2(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k11_rlvect_2(A), k11_rlvect_2(A)), k11_rlvect_2(A))))) )  =>  (B=k14_rlvect_2(A) <=>  (! [C] :  (m1_subset_1(C, k11_rlvect_2(A)) =>  (! [D] :  (m1_subset_1(D, k11_rlvect_2(A)) => k4_binop_1(k11_rlvect_2(A), B, C, D)=k7_rlvect_2(A, k12_rlvect_2(A, C), k12_rlvect_2(A, D))) ) ) ) ) ) ) ) ) ).
fof(d18_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k1_numbers, k11_rlvect_2(A)), k11_rlvect_2(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k11_rlvect_2(A)), k11_rlvect_2(A))))) )  =>  (B=k15_rlvect_2(A) <=>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (m1_subset_1(D, k11_rlvect_2(A)) => k1_funct_1(B, k4_tarski(C, D))=k8_rlvect_2(A, C, k12_rlvect_2(A, D))) ) ) ) ) ) ) ) ) ).
fof(d19_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  => k16_rlvect_2(A)=g1_rlvect_1(k11_rlvect_2(A), k13_rlvect_2(A, k4_rlvect_2(A)), k14_rlvect_2(A), k15_rlvect_2(A))) ) ).
fof(t58_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  => u1_struct_0(k16_rlvect_2(A))=k11_rlvect_2(A)) ) ).
fof(t59_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  => k4_struct_0(k16_rlvect_2(A))=k4_rlvect_2(A)) ) ).
fof(t60_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  => r1_funct_2(k2_zfmisc_1(u1_struct_0(k16_rlvect_2(A)), u1_struct_0(k16_rlvect_2(A))), u1_struct_0(k16_rlvect_2(A)), k2_zfmisc_1(k11_rlvect_2(A), k11_rlvect_2(A)), k11_rlvect_2(A), u1_algstr_0(k16_rlvect_2(A)), k14_rlvect_2(A))) ) ).
fof(t61_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  => r1_funct_2(k2_zfmisc_1(k1_numbers, u1_struct_0(k16_rlvect_2(A))), u1_struct_0(k16_rlvect_2(A)), k2_zfmisc_1(k1_numbers, k11_rlvect_2(A)), k11_rlvect_2(A), u1_rlvect_1(k16_rlvect_2(A)), k15_rlvect_2(A))) ) ).
fof(t62_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (! [C] :  (m1_rlvect_2(C, A) => k3_rlvect_1(k16_rlvect_2(A), k1_rlvect_2(k16_rlvect_2(A), B), k1_rlvect_2(k16_rlvect_2(A), C))=k7_rlvect_2(A, B, C)) ) ) ) ) ) ).
fof(t63_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_rlvect_2(C, A) => k1_rlvect_1(k16_rlvect_2(A), k1_rlvect_2(k16_rlvect_2(A), C), B)=k8_rlvect_2(A, B, C)) ) ) ) ) ) ).
fof(t64_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) => k4_algstr_0(k16_rlvect_2(A), k1_rlvect_2(k16_rlvect_2(A), B))=k9_rlvect_2(A, B)) ) ) ) ).
fof(t65_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (! [C] :  (m1_rlvect_2(C, A) => k5_algstr_0(k16_rlvect_2(A), k1_rlvect_2(k16_rlvect_2(A), B), k1_rlvect_2(k16_rlvect_2(A), C))=k10_rlvect_2(A, B, C)) ) ) ) ) ) ).
fof(t66_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(C)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(C)) =>  ( (k3_finseq_1(D)=k3_finseq_1(E) &  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(C)) =>  ( (r2_tarski(F, k1_relset_1(k4_ordinal1, D)) & G=k1_funct_1(E, F))  => k1_funct_1(D, F)=k3_vectsp_1(A, C, B, G)) ) ) ) ) )  => k4_rlvect_1(C, D)=k3_vectsp_1(A, C, B, k4_rlvect_1(C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t67_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(C)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(C)) =>  ( (k3_finseq_1(D)=k3_finseq_1(E) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k1_relset_1(k4_ordinal1, D)) => k1_funct_1(E, F)=k3_vectsp_1(A, C, B, k7_partfun1(u1_struct_0(C), D, F))) ) ) )  => k4_rlvect_1(C, E)=k3_vectsp_1(A, C, B, k4_rlvect_1(C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) & l1_vectsp_1(B, A)) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(B)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(B)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(B)) =>  ( (k3_finseq_1(C)=k3_finseq_1(D) &  (k3_finseq_1(C)=k3_finseq_1(E) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k1_relset_1(k4_ordinal1, C)) => k1_funct_1(E, F)=k5_algstr_0(B, k7_partfun1(u1_struct_0(B), C, F), k7_partfun1(u1_struct_0(B), D, F))) ) ) ) )  => k4_rlvect_1(B, E)=k5_algstr_0(B, k4_rlvect_1(B, C), k4_rlvect_1(B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t69_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  => k3_vectsp_1(A, C, B, k4_rlvect_1(C, k2_pre_poly(u1_struct_0(C))))=k4_struct_0(C)) ) ) ) ) ) ).
fof(t70_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) => k3_vectsp_1(A, C, B, k4_rlvect_1(C, k2_finseq_4(u1_struct_0(C), D, E)))=k3_rlvect_1(C, k3_vectsp_1(A, C, B, D), k3_vectsp_1(A, C, B, E))) ) ) ) ) ) ) ) ) ) ).
fof(t71_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v8_vectsp_1(C, A) &  (v9_vectsp_1(C, A) &  (v10_vectsp_1(C, A) &  (v11_vectsp_1(C, A) & l1_vectsp_1(C, A)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) => k3_vectsp_1(A, C, B, k4_rlvect_1(C, k3_finseq_4(u1_struct_0(C), D, E, F)))=k3_rlvect_1(C, k3_rlvect_1(C, k3_vectsp_1(A, C, B, D), k3_vectsp_1(A, C, B, E)), k3_vectsp_1(A, C, B, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_rlvect_2, axiom,  (! [A, B] :  (l1_struct_0(A) => m1_subset_1(k1_rlvect_2(A, B), u1_struct_0(A))) ) ).
fof(dt_k2_rlvect_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => m1_subset_1(k2_rlvect_2(A, B), u1_struct_0(A))) ) ).
fof(dt_m1_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (! [B] :  (m1_rlvect_2(B, A) => m2_funct_2(B, u1_struct_0(A), k1_numbers, k9_funct_2(u1_struct_0(A), k1_numbers))) ) ) ) ).
fof(existence_m1_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_struct_0(A))  =>  (? [B] : m1_rlvect_2(B, A)) ) ) ).
fof(dt_k3_rlvect_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  & m1_subset_1(B, k9_funct_2(u1_struct_0(A), k1_numbers)))  => m1_subset_1(k3_rlvect_2(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(redefinition_k3_rlvect_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  & m1_subset_1(B, k9_funct_2(u1_struct_0(A), k1_numbers)))  => k3_rlvect_2(A, B)=k13_pre_poly(B)) ) ).
fof(dt_k4_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  => m1_rlvect_2(k4_rlvect_2(A), A)) ) ).
fof(dt_m2_rlvect_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m2_rlvect_2(C, A, B) => m1_rlvect_2(C, A)) ) ) ) ).
fof(existence_m2_rlvect_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (? [C] : m2_rlvect_2(C, A, B)) ) ) ).
fof(dt_k5_rlvect_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_finseq_1(B, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) )  => m2_finseq_1(k5_rlvect_2(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k6_rlvect_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  & m1_rlvect_2(B, A))  => m1_subset_1(k6_rlvect_2(A, B), u1_struct_0(A))) ) ).
fof(symmetry_r1_rlvect_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  (m1_rlvect_2(B, A) & m1_rlvect_2(C, A)) )  =>  (r1_rlvect_2(A, B, C) => r1_rlvect_2(A, C, B)) ) ) ).
fof(reflexivity_r1_rlvect_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  (m1_rlvect_2(B, A) & m1_rlvect_2(C, A)) )  => r1_rlvect_2(A, B, B)) ) ).
fof(redefinition_r1_rlvect_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  (m1_rlvect_2(B, A) & m1_rlvect_2(C, A)) )  =>  (r1_rlvect_2(A, B, C) <=> B=C) ) ) ).
fof(dt_k7_rlvect_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  (m1_rlvect_2(B, A) & m1_rlvect_2(C, A)) )  => m1_rlvect_2(k7_rlvect_2(A, B, C), A)) ) ).
fof(commutativity_k7_rlvect_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  (m1_rlvect_2(B, A) & m1_rlvect_2(C, A)) )  => k7_rlvect_2(A, B, C)=k7_rlvect_2(A, C, B)) ) ).
fof(redefinition_k7_rlvect_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  (m1_rlvect_2(B, A) & m1_rlvect_2(C, A)) )  => k7_rlvect_2(A, B, C)=k1_valued_1(B, C)) ) ).
fof(dt_k8_rlvect_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (v1_xreal_0(B) & m1_rlvect_2(C, A)) )  => m1_rlvect_2(k8_rlvect_2(A, B, C), A)) ) ).
fof(dt_k9_rlvect_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  & m1_rlvect_2(B, A))  => m1_rlvect_2(k9_rlvect_2(A, B), A)) ) ).
fof(dt_k10_rlvect_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_rlvect_2(B, A) & m1_rlvect_2(C, A)) )  => m1_rlvect_2(k10_rlvect_2(A, B, C), A)) ) ).
fof(dt_k12_rlvect_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  & m1_subset_1(B, k11_rlvect_2(A)))  => m1_rlvect_2(k12_rlvect_2(A, B), A)) ) ).
fof(dt_k13_rlvect_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  & m1_rlvect_2(B, A))  => m1_subset_1(k13_rlvect_2(A, B), k11_rlvect_2(A))) ) ).
fof(dt_k14_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k14_rlvect_2(A)) &  (v1_funct_2(k14_rlvect_2(A), k2_zfmisc_1(k11_rlvect_2(A), k11_rlvect_2(A)), k11_rlvect_2(A)) & m1_subset_1(k14_rlvect_2(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k11_rlvect_2(A), k11_rlvect_2(A)), k11_rlvect_2(A))))) ) ) ) ).
fof(dt_k15_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k15_rlvect_2(A)) &  (v1_funct_2(k15_rlvect_2(A), k2_zfmisc_1(k1_numbers, k11_rlvect_2(A)), k11_rlvect_2(A)) & m1_subset_1(k15_rlvect_2(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k11_rlvect_2(A)), k11_rlvect_2(A))))) ) ) ) ).
fof(dt_k16_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  => l1_rlvect_1(k16_rlvect_2(A))) ) ).
fof(dt_k17_rlvect_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_rlvect_1(k17_rlvect_2(A, B)) & m1_rlsub_1(k17_rlvect_2(A, B), k16_rlvect_2(A))) ) ) ).
fof(d4_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  (m2_funct_2(B, u1_struct_0(A), k1_numbers, k9_funct_2(u1_struct_0(A), k1_numbers)) => k3_rlvect_2(A, B)=a_2_0_rlvect_2(A, B)) ) ) ) ).
fof(d20_rlvect_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v1_rlvect_1(C) & m1_rlsub_1(C, k16_rlvect_2(A)))  =>  (C=k17_rlvect_2(A, B) <=> u1_struct_0(C)=a_2_1_rlvect_2(A, B)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_rlvect_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l2_algstr_0(B))  & m2_funct_2(C, u1_struct_0(B), k1_numbers, k9_funct_2(u1_struct_0(B), k1_numbers)))  =>  (r2_hidden(A, a_2_0_rlvect_2(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D &  ~ (k3_funct_2(u1_struct_0(B), k1_numbers, C, D)=k5_numbers) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_rlvect_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_1_rlvect_2(B, C)) <=>  (? [D] :  (m2_rlvect_2(D, B, C) & A=D) ) ) ) ) ).
fof(rc1_rlvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v1_rlvect_3(B, A)) ) ) ) ).
fof(t1_rlvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (! [C] :  (m1_rlvect_2(C, A) => k6_rlvect_2(A, k7_rlvect_2(A, B, C))=k3_rlvect_1(A, k6_rlvect_2(A, B), k6_rlvect_2(A, C))) ) ) ) ) ) ).
fof(t2_rlvect_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_rlvect_2(C, B) => k6_rlvect_2(B, k8_rlvect_2(B, A, C))=k1_rlvect_1(B, k6_rlvect_2(B, C), A)) ) ) ) ) ) ).
fof(t3_rlvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) => k6_rlvect_2(A, k9_rlvect_2(A, B))=k4_algstr_0(A, k6_rlvect_2(A, B))) ) ) ) ).
fof(t4_rlvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (! [C] :  (m1_rlvect_2(C, A) => k6_rlvect_2(A, k10_rlvect_2(A, B, C))=k5_algstr_0(A, k6_rlvect_2(A, B), k6_rlvect_2(A, C))) ) ) ) ) ) ).
fof(d1_rlvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_rlvect_3(B, A) <=>  (! [C] :  (m2_rlvect_2(C, A, B) =>  (k6_rlvect_2(A, C)=k4_struct_0(A) => k3_rlvect_2(A, C)=k1_xboole_0) ) ) ) ) ) ) ) ).
fof(t5_rlvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r1_tarski(B, C) & v1_rlvect_3(C, A))  => v1_rlvect_3(B, A)) ) ) ) ) ) ) ).
fof(t6_rlvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v1_rlvect_3(B, A) & r2_tarski(k4_struct_0(A), B)) ) ) ) ) ) ).
fof(t7_rlvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  => v1_rlvect_3(k1_subset_1(u1_struct_0(A)), A)) ) ).
fof(t8_rlvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v1_rlvect_3(k6_domain_1(u1_struct_0(A), B), A) <=>  ~ (B=k4_struct_0(A)) ) ) ) ) ) ).
fof(t9_rlvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  ~ (v1_rlvect_3(k6_domain_1(u1_struct_0(A), k4_struct_0(A)), A)) ) ) ).
fof(t10_rlvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v1_rlvect_3(k7_domain_1(u1_struct_0(A), B, C), A) =>  ( ~ (B=k4_struct_0(A))  &  ~ (C=k4_struct_0(A)) ) ) ) ) ) ) ) ) ).
fof(t11_rlvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  ( ~ (v1_rlvect_3(k7_domain_1(u1_struct_0(A), B, k4_struct_0(A)), A))  &  ~ (v1_rlvect_3(k7_domain_1(u1_struct_0(A), k4_struct_0(A), B), A)) ) ) ) ) ) ).
fof(t12_rlvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v1_rlvect_3(k7_domain_1(u1_struct_0(A), B, C), A) =>  (B=C |  ( ~ (C=k4_struct_0(A))  &  (! [D] :  (v1_xreal_0(D) =>  ~ (B=k1_rlvect_1(A, C, D)) ) ) ) ) )  &  ( (! [D] :  (v1_xreal_0(D) =>  ~ (B=k1_rlvect_1(A, C, D)) ) )  =>  (C=k4_struct_0(A) |  ( ~ (B=C)  & v1_rlvect_3(k7_domain_1(u1_struct_0(A), B, C), A)) ) ) ) ) ) ) ) ) ) ).
fof(t13_rlvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ( ~ (B=C)  & v1_rlvect_3(k7_domain_1(u1_struct_0(A), B, C), A))  <=>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  (k3_rlvect_1(A, k1_rlvect_1(A, B, D), k1_rlvect_1(A, C, E))=k4_struct_0(A) =>  (D=k5_numbers & E=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_rlvect_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (r1_struct_0(k1_rlvect_3(B, C), A) <=>  (? [D] :  (m2_rlvect_2(D, B, C) & A=k6_rlvect_2(B, D)) ) ) ) ) ) ) ) ).
fof(t15_rlvect_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (r2_hidden(A, C) => r1_struct_0(k1_rlvect_3(B, C), A)) ) ) ) ) ) ).
fof(t16_rlvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  => k1_rlvect_3(A, k1_subset_1(u1_struct_0(A)))=k1_rlsub_1(A)) ) ).
fof(t17_rlvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (k1_rlvect_3(A, B)=k1_rlsub_1(A) &  ( ~ (B=k1_xboole_0)  &  ~ (B=k6_domain_1(u1_struct_0(A), k4_struct_0(A))) ) ) ) ) ) ) ) ).
fof(t18_rlvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v1_rlvect_1(C) & m1_rlsub_1(C, A))  =>  (B=u1_struct_0(C) => k1_rlvect_3(A, B)=C) ) ) ) ) ) ) ).
fof(t19_rlvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v1_rlvect_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (B=u1_struct_0(A) => k1_rlvect_3(A, B)=A) ) ) ) ) ).
fof(t20_rlvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(B, C) => m1_rlsub_1(k1_rlvect_3(A, B), k1_rlvect_3(A, C))) ) ) ) ) ) ) ).
fof(t21_rlvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v1_rlvect_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (k1_rlvect_3(A, B)=A & r1_tarski(B, C))  => k1_rlvect_3(A, C)=A) ) ) ) ) ) ) ).
fof(t22_rlvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k1_rlvect_3(A, k4_subset_1(u1_struct_0(A), B, C))=k1_rlsub_2(A, k1_rlvect_3(A, B), k1_rlvect_3(A, C))) ) ) ) ) ) ).
fof(t23_rlvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => m1_rlsub_1(k1_rlvect_3(A, k9_subset_1(u1_struct_0(A), B, C)), k2_rlsub_2(A, k1_rlvect_3(A, B), k1_rlvect_3(A, C)))) ) ) ) ) ) ).
fof(t24_rlvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v1_rlvect_3(B, A) &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r1_tarski(B, C) &  (v1_rlvect_3(C, A) & k1_rlvect_3(A, C)=g1_rlvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_rlvect_1(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_rlvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (k1_rlvect_3(A, B)=A &  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r1_tarski(C, B) &  (v1_rlvect_3(C, A) & k1_rlvect_3(A, C)=A) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_rlvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (m1_rlvect_3(B, A) <=>  (v1_rlvect_3(B, A) & k1_rlvect_3(A, B)=g1_rlvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_rlvect_1(A))) ) ) ) ) ) ).
fof(t26_rlvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v1_rlvect_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v1_rlvect_3(B, A) &  (! [C] :  (m1_rlvect_3(C, A) =>  ~ (r1_tarski(B, C)) ) ) ) ) ) ) ) ) ).
fof(t27_rlvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (k1_rlvect_3(A, B)=A &  (! [C] :  (m1_rlvect_3(C, A) =>  ~ (r1_tarski(C, B)) ) ) ) ) ) ) ) ) ).
fof(t28_rlvect_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_orders_1(B, A, k6_partfun1(A)) =>  ( ~ (r2_tarski(k1_xboole_0, A))  => k9_xtuple_0(B)=A) ) ) ) ) ).
fof(t29_rlvect_3, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (r1_struct_0(k1_rlsub_1(B), A) <=> A=k4_struct_0(B)) ) ) ) ).
fof(t30_rlvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (! [D] :  (m1_rlsub_1(D, A) =>  (m1_rlsub_1(B, D) => m1_rlsub_1(k2_rlsub_2(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t31_rlvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (! [D] :  (m1_rlsub_1(D, A) =>  ( (m1_rlsub_1(B, C) & m1_rlsub_1(B, D))  => m1_rlsub_1(B, k2_rlsub_2(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t32_rlvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (! [D] :  (m1_rlsub_1(D, A) =>  ( (m1_rlsub_1(B, D) & m1_rlsub_1(C, D))  => m1_rlsub_1(k1_rlsub_2(A, B, C), D)) ) ) ) ) ) ) ) ) ).
fof(t33_rlvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (! [D] :  (m1_rlsub_1(D, A) =>  (m1_rlsub_1(B, C) => m1_rlsub_1(B, k1_rlsub_2(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(t34_rlvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(A), k1_numbers) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  => k5_rlvect_2(A, k8_finseq_1(u1_struct_0(A), B, C), D)=k8_finseq_1(u1_struct_0(A), k5_rlvect_2(A, B, D), k5_rlvect_2(A, C, D))) ) ) ) ) ) ) ) ).
fof(dt_k1_rlvect_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_rlvect_1(k1_rlvect_3(A, B)) & m1_rlsub_1(k1_rlvect_3(A, B), A)) ) ) ).
fof(dt_m1_rlvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_3(B, A) => m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ).
fof(existence_m1_rlvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (? [B] : m1_rlvect_3(B, A)) ) ) ).
fof(d2_rlvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v1_rlvect_1(C) & m1_rlsub_1(C, A))  =>  (C=k1_rlvect_3(A, B) <=> u1_struct_0(C)=a_2_0_rlvect_3(A, B)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_rlvect_3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_0_rlvect_3(B, C)) <=>  (? [D] :  (m2_rlvect_2(D, B, C) & A=k6_rlvect_2(B, D)) ) ) ) ) ).
fof(t1_rlvect_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k5_algstr_0(A, k3_rlvect_1(A, B, C), B)=C &  (k5_algstr_0(A, k3_rlvect_1(A, C, B), B)=C &  (k3_rlvect_1(A, k5_algstr_0(A, B, B), C)=C &  (k3_rlvect_1(A, k5_algstr_0(A, C, B), B)=C &  (k3_rlvect_1(A, B, k5_algstr_0(A, C, B))=C &  (k3_rlvect_1(A, C, k5_algstr_0(A, B, B))=C & k5_algstr_0(A, B, k5_algstr_0(A, B, C))=C) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_rlvect_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k5_algstr_0(A, B, D)=k5_algstr_0(A, C, D) => B=C) ) ) ) ) ) ) ) ) ).
fof(t3_rlvect_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k4_algstr_0(B, k1_rlvect_1(B, C, A))=k1_rlvect_1(B, C, k4_xcmplx_0(A))) ) ) ) ) ) ).
fof(t4_rlvect_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (! [D] :  (m1_rlsub_1(D, A) =>  (m1_rlsub_1(C, D) => r1_tarski(k3_rlsub_1(A, B, C), k3_rlsub_1(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t5_rlvect_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_rlsub_1(D, A) =>  (r2_tarski(B, k3_rlsub_1(A, C, D)) => k3_rlsub_1(A, C, D)=k3_rlsub_1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t6_rlvect_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m2_rlvect_2(E, A, k8_domain_1(u1_struct_0(A), B, C, D)) =>  ~ ( ( ~ (B=C)  &  ( ~ (B=D)  &  ( ~ (C=D)  &  ~ (k6_rlvect_2(A, E)=k3_rlvect_1(A, k3_rlvect_1(A, k1_rlvect_1(A, B, k3_funct_2(u1_struct_0(A), k1_numbers, E, B)), k1_rlvect_1(A, C, k3_funct_2(u1_struct_0(A), k1_numbers, E, C))), k1_rlvect_1(A, D, k3_funct_2(u1_struct_0(A), k1_numbers, E, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_rlvect_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ( ~ (B=C)  &  ( ~ (B=D)  &  ( ~ (C=D)  & v1_rlvect_3(k8_domain_1(u1_struct_0(A), B, C, D), A)) ) )  <=>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (k3_rlvect_1(A, k3_rlvect_1(A, k1_rlvect_1(A, B, E), k1_rlvect_1(A, C, F)), k1_rlvect_1(A, D, G))=k4_struct_0(A) =>  (E=k5_numbers &  (F=k5_numbers & G=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_rlvect_4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (r1_struct_0(k1_rlvect_3(B, k6_domain_1(u1_struct_0(B), C)), A) <=>  (? [D] :  (v1_xreal_0(D) & A=k1_rlvect_1(B, C, D)) ) ) ) ) ) ) ) ).
fof(t9_rlvect_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r1_struct_0(k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B)), B)) ) ) ) ).
fof(t10_rlvect_4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r2_tarski(A, k3_rlsub_1(B, C, k1_rlvect_3(B, k6_domain_1(u1_struct_0(B), D)))) <=>  (? [E] :  (v1_xreal_0(E) & A=k3_rlvect_1(B, C, k1_rlvect_1(B, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t11_rlvect_4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r1_struct_0(k1_rlvect_3(B, k7_domain_1(u1_struct_0(B), C, D)), A) <=>  (? [E] :  (v1_xreal_0(E) &  (? [F] :  (v1_xreal_0(F) & A=k3_rlvect_1(B, k1_rlvect_1(B, C, E), k1_rlvect_1(B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t12_rlvect_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_struct_0(k1_rlvect_3(A, k7_domain_1(u1_struct_0(A), B, C)), B) & r1_struct_0(k1_rlvect_3(A, k7_domain_1(u1_struct_0(A), B, C)), C)) ) ) ) ) ) ) ).
fof(t13_rlvect_4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (r2_tarski(A, k3_rlsub_1(B, C, k1_rlvect_3(B, k7_domain_1(u1_struct_0(B), D, E)))) <=>  (? [F] :  (v1_xreal_0(F) &  (? [G] :  (v1_xreal_0(G) & A=k3_rlvect_1(B, k3_rlvect_1(B, C, k1_rlvect_1(B, D, F)), k1_rlvect_1(B, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_rlvect_4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (r1_struct_0(k1_rlvect_3(B, k8_domain_1(u1_struct_0(B), C, D, E)), A) <=>  (? [F] :  (v1_xreal_0(F) &  (? [G] :  (v1_xreal_0(G) &  (? [H] :  (v1_xreal_0(H) & A=k3_rlvect_1(B, k3_rlvect_1(B, k1_rlvect_1(B, C, F), k1_rlvect_1(B, D, G)), k1_rlvect_1(B, E, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_rlvect_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_struct_0(k1_rlvect_3(A, k8_domain_1(u1_struct_0(A), B, C, D)), B) &  (r1_struct_0(k1_rlvect_3(A, k8_domain_1(u1_struct_0(A), B, C, D)), C) & r1_struct_0(k1_rlvect_3(A, k8_domain_1(u1_struct_0(A), B, C, D)), D)) ) ) ) ) ) ) ) ) ) ).
fof(t16_rlvect_4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (r2_tarski(A, k3_rlsub_1(B, C, k1_rlvect_3(B, k8_domain_1(u1_struct_0(B), D, E, F)))) <=>  (? [G] :  (v1_xreal_0(G) &  (? [H] :  (v1_xreal_0(H) &  (? [I] :  (v1_xreal_0(I) & A=k3_rlvect_1(B, k3_rlvect_1(B, k3_rlvect_1(B, C, k1_rlvect_1(B, D, G)), k1_rlvect_1(B, E, H)), k1_rlvect_1(B, F, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_rlvect_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v1_rlvect_3(k7_domain_1(u1_struct_0(A), B, C), A) =>  (B=C | v1_rlvect_3(k7_domain_1(u1_struct_0(A), B, k5_algstr_0(A, C, B)), A)) ) ) ) ) ) ) ) ).
fof(t18_rlvect_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v1_rlvect_3(k7_domain_1(u1_struct_0(A), B, C), A) =>  (B=C | v1_rlvect_3(k7_domain_1(u1_struct_0(A), B, k3_rlvect_1(A, C, B)), A)) ) ) ) ) ) ) ) ).
fof(t19_rlvect_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (v1_rlvect_3(k7_domain_1(u1_struct_0(B), C, D), B) =>  (C=D |  (A=k5_numbers | v1_rlvect_3(k7_domain_1(u1_struct_0(B), C, k1_rlvect_1(B, D, A)), B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_rlvect_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (v1_rlvect_3(k7_domain_1(u1_struct_0(A), B, C), A) =>  (B=C | v1_rlvect_3(k7_domain_1(u1_struct_0(A), B, k4_algstr_0(A, C)), A)) ) ) ) ) ) ) ) ).
fof(t21_rlvect_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) & l1_rlvect_1(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  ~ ( ( ~ (A=B)  & v1_rlvect_3(k7_domain_1(u1_struct_0(C), k1_rlvect_1(C, D, A), k1_rlvect_1(C, D, B)), C)) ) ) ) ) ) ) ) ) ) ).
fof(t22_rlvect_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  ~ ( ( ~ (A=1)  & v1_rlvect_3(k7_domain_1(u1_struct_0(B), C, k1_rlvect_1(B, C, A)), B)) ) ) ) ) ) ) ) ).
fof(t23_rlvect_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (v1_rlvect_3(k8_domain_1(u1_struct_0(A), B, D, C), A) =>  (B=C |  (B=D |  (C=D | v1_rlvect_3(k8_domain_1(u1_struct_0(A), B, D, k5_algstr_0(A, C, B)), A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_rlvect_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (v1_rlvect_3(k8_domain_1(u1_struct_0(A), B, D, C), A) =>  (B=C |  (B=D |  (C=D | v1_rlvect_3(k8_domain_1(u1_struct_0(A), B, k5_algstr_0(A, D, B), k5_algstr_0(A, C, B)), A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_rlvect_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (v1_rlvect_3(k8_domain_1(u1_struct_0(A), B, D, C), A) =>  (B=C |  (B=D |  (C=D | v1_rlvect_3(k8_domain_1(u1_struct_0(A), B, D, k3_rlvect_1(A, C, B)), A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_rlvect_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (v1_rlvect_3(k8_domain_1(u1_struct_0(A), B, D, C), A) =>  (B=C |  (B=D |  (C=D | v1_rlvect_3(k8_domain_1(u1_struct_0(A), B, k3_rlvect_1(A, D, B), k3_rlvect_1(A, C, B)), A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_rlvect_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (v1_rlvect_3(k8_domain_1(u1_struct_0(B), C, E, D), B) =>  (C=D |  (C=E |  (D=E |  (A=k5_numbers | v1_rlvect_3(k8_domain_1(u1_struct_0(B), C, E, k1_rlvect_1(B, D, A)), B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_rlvect_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) & l1_rlvect_1(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  (v1_rlvect_3(k8_domain_1(u1_struct_0(C), D, F, E), C) =>  (D=E |  (D=F |  (E=F |  (A=k5_numbers |  (B=k5_numbers | v1_rlvect_3(k8_domain_1(u1_struct_0(C), D, k1_rlvect_1(C, F, A), k1_rlvect_1(C, E, B)), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_rlvect_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (v1_rlvect_3(k8_domain_1(u1_struct_0(A), B, D, C), A) =>  (B=C |  (B=D |  (C=D | v1_rlvect_3(k8_domain_1(u1_struct_0(A), B, D, k4_algstr_0(A, C)), A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t30_rlvect_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (v1_rlvect_3(k8_domain_1(u1_struct_0(A), B, D, C), A) =>  (B=C |  (B=D |  (C=D | v1_rlvect_3(k8_domain_1(u1_struct_0(A), B, k4_algstr_0(A, D), k4_algstr_0(A, C)), A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_rlvect_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) & l1_rlvect_1(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  ~ ( ( ~ (A=B)  & v1_rlvect_3(k8_domain_1(u1_struct_0(C), k1_rlvect_1(C, D, A), k1_rlvect_1(C, D, B), E), C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_rlvect_4, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  ~ ( ( ~ (A=1)  & v1_rlvect_3(k8_domain_1(u1_struct_0(B), C, k1_rlvect_1(B, C, A), D), B)) ) ) ) ) ) ) ) ) ) ).
fof(t33_rlvect_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_struct_0(k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), C)), B) =>  (B=k4_struct_0(A) | k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B))=k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), C))) ) ) ) ) ) ) ) ).
fof(t34_rlvect_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ( (v1_rlvect_3(k7_domain_1(u1_struct_0(A), B, C), A) &  (r1_struct_0(k1_rlvect_3(A, k7_domain_1(u1_struct_0(A), D, E)), B) & r1_struct_0(k1_rlvect_3(A, k7_domain_1(u1_struct_0(A), D, E)), C)) )  =>  (B=C |  (k1_rlvect_3(A, k7_domain_1(u1_struct_0(A), D, E))=k1_rlvect_3(A, k7_domain_1(u1_struct_0(A), B, C)) &  (v1_rlvect_3(k7_domain_1(u1_struct_0(A), D, E), A) &  ~ (D=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_rlvect_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ~ ( ( ~ (C=k4_struct_0(A))  &  ( ~ (v1_rlvect_3(k7_domain_1(u1_struct_0(A), B, C), A))  &  (! [D] :  (v1_xreal_0(D) =>  ~ (B=k1_rlvect_1(A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_rlvect_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( ( ~ (C=D)  &  (v1_rlvect_3(k7_domain_1(u1_struct_0(A), C, D), A) &  ( ~ (v1_rlvect_3(k8_domain_1(u1_struct_0(A), B, C, D), A))  &  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  ~ (B=k3_rlvect_1(A, k1_rlvect_1(A, C, E), k1_rlvect_1(A, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_rlvect_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) =>  (? [D] :  (m2_rlvect_2(D, A, k6_domain_1(u1_struct_0(A), B)) & k3_funct_2(u1_struct_0(A), k1_numbers, D, B)=C) ) ) ) ) ) ) ) ).
fof(t38_rlvect_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (B=C)  &  (! [F] :  (m2_rlvect_2(F, A, k7_domain_1(u1_struct_0(A), B, C)) =>  ~ ( (k3_funct_2(u1_struct_0(A), k1_numbers, F, B)=D & k3_funct_2(u1_struct_0(A), k1_numbers, F, C)=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_rlvect_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  ~ ( ( ~ (B=C)  &  ( ~ (B=D)  &  ( ~ (C=D)  &  (! [H] :  (m2_rlvect_2(H, A, k8_domain_1(u1_struct_0(A), B, C, D)) =>  ~ ( (k3_funct_2(u1_struct_0(A), k1_numbers, H, B)=E &  (k3_funct_2(u1_struct_0(A), k1_numbers, H, C)=F & k3_funct_2(u1_struct_0(A), k1_numbers, H, D)=G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_rlvect_4, axiom,  ( ( ~ (f3_s1_rlvect_4=f4_s1_rlvect_4)  &  ( ~ (f3_s1_rlvect_4=f5_s1_rlvect_4)  &  ~ (f4_s1_rlvect_4=f5_s1_rlvect_4) ) )  =>  (? [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, f1_s1_rlvect_4, f2_s1_rlvect_4) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(f1_s1_rlvect_4, f2_s1_rlvect_4)))) )  &  (k3_funct_2(f1_s1_rlvect_4, f2_s1_rlvect_4, A, f3_s1_rlvect_4)=f6_s1_rlvect_4 &  (k3_funct_2(f1_s1_rlvect_4, f2_s1_rlvect_4, A, f4_s1_rlvect_4)=f7_s1_rlvect_4 &  (k3_funct_2(f1_s1_rlvect_4, f2_s1_rlvect_4, A, f5_s1_rlvect_4)=f8_s1_rlvect_4 &  (! [B] :  (m1_subset_1(B, f1_s1_rlvect_4) =>  ~ ( ( ~ (B=f3_s1_rlvect_4)  &  ( ~ (B=f4_s1_rlvect_4)  &  ( ~ (B=f5_s1_rlvect_4)  &  ~ (k3_funct_2(f1_s1_rlvect_4, f2_s1_rlvect_4, A, B)=f9_s1_rlvect_4(B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_f1_s1_rlvect_4, axiom,  ~ (v1_xboole_0(f1_s1_rlvect_4)) ).
fof(dt_f2_s1_rlvect_4, axiom,  ~ (v1_xboole_0(f2_s1_rlvect_4)) ).
fof(dt_f3_s1_rlvect_4, axiom, m1_subset_1(f3_s1_rlvect_4, f1_s1_rlvect_4)).
fof(dt_f4_s1_rlvect_4, axiom, m1_subset_1(f4_s1_rlvect_4, f1_s1_rlvect_4)).
fof(dt_f5_s1_rlvect_4, axiom, m1_subset_1(f5_s1_rlvect_4, f1_s1_rlvect_4)).
fof(dt_f6_s1_rlvect_4, axiom, m1_subset_1(f6_s1_rlvect_4, f2_s1_rlvect_4)).
fof(dt_f7_s1_rlvect_4, axiom, m1_subset_1(f7_s1_rlvect_4, f2_s1_rlvect_4)).
fof(dt_f8_s1_rlvect_4, axiom, m1_subset_1(f8_s1_rlvect_4, f2_s1_rlvect_4)).
fof(dt_f9_s1_rlvect_4, axiom,  (! [A] : m1_subset_1(f9_s1_rlvect_4(A), f2_s1_rlvect_4)) ).
fof(rc1_rlvect_5, axiom,  (? [A] :  (l1_rlvect_1(A) &  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v1_rlvect_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & v1_rlvect_5(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_rlsub_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v1_rlvect_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & v1_rlvect_5(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v1_rlvect_5(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) => v1_rlvect_5(B)) ) ) ) ).
fof(rc3_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v1_rlvect_5(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (? [B] :  (m1_rlsub_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v1_rlvect_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & v1_rlvect_5(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (! [C] :  (m1_rlvect_2(C, A) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_rlvect_3(D, A) &  (r1_tarski(k3_rlvect_2(A, B), D) &  (r1_tarski(k3_rlvect_2(A, C), D) & k6_rlvect_2(A, B)=k6_rlvect_2(A, C)) ) )  => r1_rlvect_2(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t2_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (v1_rlvect_3(B, A) &  (! [C] :  (m1_rlvect_3(C, A) =>  ~ (r1_tarski(B, C)) ) ) ) ) ) ) ) ) ).
fof(t3_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, k3_rlvect_2(A, B)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (C=D &  ~ (k3_funct_2(u1_struct_0(A), k1_numbers, B, D)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_finseq_1(C), k4_finseq_1(C)) &  (v3_funct_2(E, k4_finseq_1(C), k4_finseq_1(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(C), k4_finseq_1(C))))) ) )  =>  (D=k1_partfun1(k4_finseq_1(C), k4_finseq_1(C), k4_ordinal1, u1_struct_0(A), E, C) => k4_rlvect_1(A, k5_rlvect_2(A, C, B))=k4_rlvect_1(A, k5_rlvect_2(A, D, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (r1_xboole_0(k3_rlvect_2(A, B), k10_xtuple_0(C)) => k4_rlvect_1(A, k5_rlvect_2(A, C, B))=k4_struct_0(A)) ) ) ) ) ) ) ).
fof(t6_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (v2_funct_1(B) =>  (! [C] :  (m1_rlvect_2(C, A) =>  (r1_tarski(k3_rlvect_2(A, C), k10_xtuple_0(B)) => k4_rlvect_1(A, k5_rlvect_2(A, B, C))=k6_rlvect_2(A, C)) ) ) ) ) ) ) ) ).
fof(t7_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (? [D] :  (m1_rlvect_2(D, A) &  (k3_rlvect_2(A, D)=k9_subset_1(u1_struct_0(A), k10_xtuple_0(C), k3_rlvect_2(A, B)) & k5_rlvect_2(A, C, B)=k5_rlvect_2(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t8_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  ~ ( (r1_tarski(k10_xtuple_0(D), u1_struct_0(k1_rlvect_3(A, C))) &  (! [E] :  (m2_rlvect_2(E, A, C) =>  ~ (k4_rlvect_1(A, k5_rlvect_2(A, D, B))=k6_rlvect_2(A, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_2(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r1_tarski(k3_rlvect_2(A, B), u1_struct_0(k1_rlvect_3(A, C))) &  (! [D] :  (m2_rlvect_2(D, A, C) =>  ~ (k6_rlvect_2(A, B)=k6_rlvect_2(A, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t10_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlvect_2(C, A) =>  (r1_tarski(k3_rlvect_2(A, C), u1_struct_0(B)) =>  (! [D] :  (m1_rlvect_2(D, B) =>  (D=k2_partfun1(u1_struct_0(A), k1_numbers, C, u1_struct_0(B)) =>  (k3_rlvect_2(A, C)=k3_rlvect_2(B, D) & k6_rlvect_2(A, C)=k6_rlvect_2(B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlvect_2(C, B) =>  (? [D] :  (m1_rlvect_2(D, A) &  (k3_rlvect_2(B, C)=k3_rlvect_2(A, D) & k6_rlvect_2(B, C)=k6_rlvect_2(A, D)) ) ) ) ) ) ) ) ) ).
fof(t12_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlvect_2(C, A) =>  ~ ( (r1_tarski(k3_rlvect_2(A, C), u1_struct_0(B)) &  (! [D] :  (m1_rlvect_2(D, B) =>  ~ ( (k3_rlvect_2(B, D)=k3_rlvect_2(A, C) & k6_rlvect_2(B, D)=k6_rlvect_2(A, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_3(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_struct_0(k1_rlvect_3(A, B), C)) ) ) ) ) ) ).
fof(t14_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (v1_rlvect_3(C, B) =>  (v1_rlvect_3(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ) ) ).
fof(t15_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_rlvect_3(C, A) & r1_tarski(C, u1_struct_0(B)))  =>  (v1_rlvect_3(C, B) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B)))) ) ) ) ) ) ) ) ).
fof(t16_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlvect_3(C, B) =>  (? [D] :  (m1_rlvect_3(D, A) & r1_tarski(C, D)) ) ) ) ) ) ) ) ).
fof(t17_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_rlvect_3(B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(C, B) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (D=k7_subset_1(u1_struct_0(A), B, k6_domain_1(u1_struct_0(A), C)) & r1_struct_0(k1_rlvect_3(A, D), C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlvect_3(B, A) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (r1_xboole_0(C, B) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (D=k4_subset_1(u1_struct_0(A), B, C) & v1_rlvect_3(D, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(C, u1_struct_0(B)) => m1_rlsub_1(k1_rlvect_3(A, C), B)) ) ) ) ) ) ) ).
fof(t20_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (C=D => k1_rlvect_3(A, C)=k1_rlvect_3(B, D)) ) ) ) ) ) ) ) ) ).
fof(t21_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r1_struct_0(k1_rlvect_3(A, k4_subset_1(u1_struct_0(A), B, C)), D) &  ( ~ (r1_struct_0(k1_rlvect_3(A, C), D))  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_tarski(E, B) & r1_struct_0(k1_rlvect_3(A, k4_subset_1(u1_struct_0(A), k7_subset_1(u1_struct_0(A), k4_subset_1(u1_struct_0(A), B, C), k6_domain_1(u1_struct_0(A), E)), k6_domain_1(u1_struct_0(A), D))), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  ( (g1_rlvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_rlvect_1(A))=k1_rlvect_3(A, B) & v1_rlvect_3(C, A))  =>  (r1_xxreal_0(k4_card_1(C), k4_card_1(B)) &  (? [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))  &  (r1_tarski(D, B) &  (k4_card_1(D)=k6_xcmplx_0(k4_card_1(B), k4_card_1(C)) & g1_rlvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_rlvect_1(A))=k1_rlvect_3(A, k4_subset_1(u1_struct_0(A), C, D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (v1_rlvect_5(A) <=>  (? [B] :  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  & m1_rlvect_3(B, A)) ) ) ) ) ).
fof(t23_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (v1_rlvect_5(A) =>  (! [B] :  (m1_rlvect_3(B, A) => v1_finset_1(B)) ) ) ) ) ).
fof(t24_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (v1_rlvect_5(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_rlvect_3(B, A) => v1_finset_1(B)) ) ) ) ) ) ).
fof(t25_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (v1_rlvect_5(A) =>  (! [B] :  (m1_rlvect_3(B, A) =>  (! [C] :  (m1_rlvect_3(C, A) => k1_card_1(B)=k1_card_1(C)) ) ) ) ) ) ) ).
fof(t26_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  => v1_rlvect_5(k1_rlsub_1(A))) ) ).
fof(t27_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (v1_rlvect_5(A) => v1_rlvect_5(B)) ) ) ) ) ).
fof(d2_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (v1_rlvect_5(A) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (B=k1_rlvect_5(A) <=>  (! [C] :  (m1_rlvect_3(C, A) => B=k1_card_1(C)) ) ) ) ) ) ) ) ).
fof(t28_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v1_rlvect_5(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) => r1_xxreal_0(k1_rlvect_5(B), k1_rlvect_5(A))) ) ) ) ).
fof(t29_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v1_rlvect_5(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_rlvect_3(B, A) => k1_card_1(B)=k1_rlvect_5(k1_rlvect_3(A, B))) ) ) ) ) ).
fof(t30_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v1_rlvect_5(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  => k1_rlvect_5(A)=k1_rlvect_5(k2_rlsub_1(A))) ) ).
fof(t31_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v1_rlvect_5(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (k1_rlvect_5(A)=k1_rlvect_5(B) <=> k2_rlsub_1(A)=k2_rlsub_1(B)) ) ) ) ) ).
fof(t32_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v1_rlvect_5(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (k1_rlvect_5(A)=k5_numbers <=> k2_rlsub_1(A)=k1_rlsub_1(A)) ) ) ).
fof(t33_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v1_rlvect_5(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (k1_rlvect_5(A)=1 <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  ( ~ (B=k4_struct_0(A))  & k2_rlsub_1(A)=k1_rlvect_3(A, k6_domain_1(u1_struct_0(A), B))) ) ) ) ) ) ).
fof(t34_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v1_rlvect_5(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (k1_rlvect_5(A)=2 <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  ( ~ (B=C)  &  (v1_rlvect_3(k7_domain_1(u1_struct_0(A), B, C), A) & k2_rlsub_1(A)=k1_rlvect_3(A, k7_domain_1(u1_struct_0(A), B, C))) ) ) ) ) ) ) ) ) ).
fof(t35_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v1_rlvect_5(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) => k1_nat_1(k1_rlvect_5(k1_rlsub_2(A, B, C)), k1_rlvect_5(k2_rlsub_2(A, B, C)))=k1_nat_1(k1_rlvect_5(B), k1_rlvect_5(C))) ) ) ) ) ) ).
fof(t36_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v1_rlvect_5(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) => r1_xxreal_0(k6_xcmplx_0(k1_nat_1(k1_rlvect_5(B), k1_rlvect_5(C)), k1_rlvect_5(A)), k1_rlvect_5(k2_rlsub_2(A, B, C)))) ) ) ) ) ) ).
fof(t37_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v1_rlvect_5(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_rlsub_1(B, A) =>  (! [C] :  (m1_rlsub_1(C, A) =>  (r1_rlsub_2(A, B, C) => k1_rlvect_5(A)=k1_nat_1(k1_rlvect_5(B), k1_rlvect_5(C))) ) ) ) ) ) ) ).
fof(t38_rlvect_5, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v1_rlvect_5(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) ) )  =>  (r1_xxreal_0(A, k1_rlvect_5(B)) <=>  (? [C] :  ( (v1_rlvect_1(C) & m1_rlsub_1(C, B))  & k1_rlvect_5(C)=A) ) ) ) ) ) ) ).
fof(d3_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v1_rlvect_5(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  (! [C] :  (C=k2_rlvect_5(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (? [E] :  ( (v1_rlvect_1(E) & m1_rlsub_1(E, A))  &  (E=D & k1_rlvect_5(E)=B) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_rlvect_5, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v1_rlvect_5(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) ) )  =>  ~ ( (r1_xxreal_0(A, k1_rlvect_5(B)) & v1_xboole_0(k2_rlvect_5(B, A))) ) ) ) ) ) ).
fof(t40_rlvect_5, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v1_rlvect_5(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) ) )  =>  ( ~ (r1_xxreal_0(A, k1_rlvect_5(B)))  => k2_rlvect_5(B, A)=k1_xboole_0) ) ) ) ) ).
fof(t41_rlvect_5, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v1_rlvect_5(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_rlsub_1(C, B) => r1_tarski(k2_rlvect_5(C, A), k2_rlvect_5(B, A))) ) ) ) ) ) ).
fof(dt_k1_rlvect_5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  => m1_subset_1(k1_rlvect_5(A), k4_ordinal1)) ) ).
fof(rc1_rlvect_x, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & v7_ordinal1(B))  =>  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, A) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v3_card_1(C, B) &  (v1_finseq_1(C) & v2_finseq_1(C)) ) ) ) ) ) ) ) ) ) ).
fof(t1_rlvect_x, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (k3_finseq_1(B)=k3_finseq_1(C) => k4_rlvect_1(A, k1_binom(A, B, C))=k3_rlvect_1(A, k4_rlvect_1(A, B), k4_rlvect_1(A, C))) ) ) ) ) ) ) ).
fof(t2_rlvect_x, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  ( (k3_finseq_1(B)=k3_finseq_1(C) & r2_relset_1(k4_ordinal1, u1_struct_0(A), D, k2_vfunct_1(k4_ordinal1, A, B, C)))  => k4_rlvect_1(A, D)=k5_algstr_0(A, k4_rlvect_1(A, B), k4_rlvect_1(A, C))) ) ) ) ) ) ) ) ) ).
fof(t3_rlvect_x, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_numbers) =>  (r2_relset_1(k4_ordinal1, u1_struct_0(A), C, k4_vfunct_1(k4_ordinal1, A, B, D)) => k4_rlvect_1(A, C)=k1_rlvect_1(A, k4_rlvect_1(A, B), D)) ) ) ) ) ) ) ) ) ).
fof(d1_rlvect_x, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (m1_rlvect_2(C, A) =>  (! [D] :  (m1_rlvect_2(D, A) =>  (D=k1_rlvect_x(A, B, C) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k1_numbers, D, E)=k3_xcmplx_0(B, k3_funct_2(u1_struct_0(A), k1_numbers, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_rlvect_x, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) & l1_rlvect_1(C)) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(C))) =>  (! [E] :  (m2_rlvect_2(E, C, D) =>  (A=B => r1_rlvect_2(C, k8_rlvect_2(C, A, E), k1_rlvect_x(C, B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_rlvect_x, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m2_rlvect_2(C, A, B) =>  (! [D] :  (m2_rlvect_2(D, A, B) =>  ( (r1_tarski(k2_relset_1(k1_numbers, C), k4_numbers) & r1_tarski(k2_relset_1(k1_numbers, D), k4_numbers))  => r1_tarski(k2_relset_1(k1_numbers, k7_rlvect_2(A, C, D)), k4_numbers)) ) ) ) ) ) ) ) ) ).
fof(t6_rlvect_x, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m2_rlvect_2(D, B, C) =>  (r1_tarski(k2_relset_1(k1_numbers, D), k4_numbers) => r1_tarski(k2_relset_1(k1_numbers, k1_rlvect_x(B, A, D)), k4_numbers)) ) ) ) ) ) ) ) ) ).
fof(t7_rlvect_x, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  => r1_tarski(k2_relset_1(k1_numbers, k4_rlvect_2(A)), k4_numbers)) ) ).
fof(t8_rlvect_x, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k2_rlvect_x(A, B), u1_struct_0(k1_rlvect_3(A, B)))) ) ) ) ).
fof(t9_rlvect_x, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r2_tarski(B, k2_rlvect_x(A, D)) & r2_tarski(C, k2_rlvect_x(A, D)))  => r2_tarski(k3_rlvect_1(A, B, C), k2_rlvect_x(A, D))) ) ) ) ) ) ) ) ) ).
fof(t10_rlvect_x, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (r2_tarski(C, k2_rlvect_x(B, D)) => r2_tarski(k1_rlvect_1(B, C, A), k2_rlvect_x(B, D))) ) ) ) ) ) ) ) ) ).
fof(t11_rlvect_x, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => r2_tarski(k4_struct_0(A), k2_rlvect_x(A, B))) ) ) ) ).
fof(t12_rlvect_x, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (r2_tarski(A, C) => r2_tarski(A, k2_rlvect_x(B, C))) ) ) ) ) ) ).
fof(t13_rlvect_x, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(B, C) => r1_tarski(k2_rlvect_x(A, B), k2_rlvect_x(A, C))) ) ) ) ) ) ) ).
fof(t14_rlvect_x, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k2_rlvect_x(A, k4_subset_1(u1_struct_0(A), B, C))=k7_rusub_4(A, k2_rlvect_x(A, B), k2_rlvect_x(A, C))) ) ) ) ) ) ).
fof(t15_rlvect_x, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k2_rlvect_x(A, k9_subset_1(u1_struct_0(A), B, C)), k9_subset_1(u1_struct_0(A), k2_rlvect_x(A, B), k2_rlvect_x(A, C)))) ) ) ) ) ) ).
fof(t16_rlvect_x, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (r2_tarski(A, k2_rlvect_x(B, k6_domain_1(u1_struct_0(B), C))) <=>  (? [D] :  (v1_int_1(D) & A=k1_rlvect_1(B, C, D)) ) ) ) ) ) ) ) ).
fof(t17_rlvect_x, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r2_tarski(B, k2_rlvect_x(A, k6_domain_1(u1_struct_0(A), B)))) ) ) ) ).
fof(t18_rlvect_x, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r2_tarski(A, k5_rusub_4(B, k2_rlvect_x(B, k6_domain_1(u1_struct_0(B), D)), C)) <=>  (? [E] :  (v1_int_1(E) & A=k3_rlvect_1(B, C, k1_rlvect_1(B, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(t19_rlvect_x, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r2_tarski(A, k2_rlvect_x(B, k7_domain_1(u1_struct_0(B), C, D))) <=>  (? [E] :  (v1_int_1(E) &  (? [F] :  (v1_int_1(F) & A=k3_rlvect_1(B, k1_rlvect_1(B, C, E), k1_rlvect_1(B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_rlvect_x, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_tarski(B, k2_rlvect_x(A, k7_domain_1(u1_struct_0(A), B, C)))) ) ) ) ) ) ).
fof(t21_rlvect_x, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (r2_tarski(A, k5_rusub_4(B, k2_rlvect_x(B, k7_domain_1(u1_struct_0(B), D, E)), C)) <=>  (? [F] :  (v1_int_1(F) &  (? [G] :  (v1_int_1(G) & A=k3_rlvect_1(B, k3_rlvect_1(B, C, k1_rlvect_1(B, D, F)), k1_rlvect_1(B, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_rlvect_x, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (r2_tarski(A, k2_rlvect_x(B, k8_domain_1(u1_struct_0(B), C, D, E))) <=>  (? [F] :  (v1_int_1(F) &  (? [G] :  (v1_int_1(G) &  (? [H] :  (v1_int_1(H) & A=k3_rlvect_1(B, k3_rlvect_1(B, k1_rlvect_1(B, C, F), k1_rlvect_1(B, D, G)), k1_rlvect_1(B, E, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_rlvect_x, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(B, k2_rlvect_x(A, k8_domain_1(u1_struct_0(A), B, C, D))) &  (r2_tarski(C, k2_rlvect_x(A, k8_domain_1(u1_struct_0(A), B, C, D))) & r2_tarski(D, k2_rlvect_x(A, k8_domain_1(u1_struct_0(A), B, C, D)))) ) ) ) ) ) ) ) ) ) ).
fof(t24_rlvect_x, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (r2_tarski(A, k5_rusub_4(B, k2_rlvect_x(B, k8_domain_1(u1_struct_0(B), D, E, F)), C)) <=>  (? [G] :  (v1_int_1(G) &  (? [H] :  (v1_int_1(H) &  (? [I] :  (v1_int_1(I) & A=k3_rlvect_1(B, k3_rlvect_1(B, k3_rlvect_1(B, C, k1_rlvect_1(B, D, G)), k1_rlvect_1(B, E, H)), k1_rlvect_1(B, F, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_rlvect_x, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (r2_tarski(C, k2_rlvect_x(A, B)) <=>  (? [D] :  (m2_finseq_1(D, u1_struct_0(A)) &  (? [E] :  (m2_finseq_1(E, u1_struct_0(A)) &  (? [F] :  ( (v1_relat_1(F) &  (v5_relat_1(F, k4_numbers) &  (v1_funct_1(F) & v1_finseq_1(F)) ) )  &  (C=k4_rlvect_1(A, E) &  (r1_tarski(k2_relset_1(u1_struct_0(A), D), B) &  (k3_finseq_1(D)=k3_finseq_1(E) &  (k3_finseq_1(D)=k3_finseq_1(F) &  (! [G] :  (v7_ordinal1(G) =>  (r2_tarski(G, k2_finseq_1(k3_finseq_1(D))) => k7_partfun1(u1_struct_0(A), E, G)=k1_rlvect_1(A, k7_partfun1(u1_struct_0(A), D, G), k1_funct_1(F, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_rlvect_x, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (r2_tarski(C, k3_rlvect_x(A, B)) <=>  (? [D] :  ( (v3_card_1(D, k3_finseq_1(B)) & m2_finseq_1(D, u1_struct_0(A)))  &  (? [E] :  ( (v1_relat_1(E) &  (v5_relat_1(E, k4_numbers) &  (v1_funct_1(E) &  (v3_card_1(E, k3_finseq_1(B)) & v1_finseq_1(E)) ) ) )  &  (C=k4_rlvect_1(A, D) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k2_finseq_1(k3_finseq_1(B))) => k7_partfun1(u1_struct_0(A), D, F)=k1_rlvect_1(A, k7_partfun1(u1_struct_0(A), B, F), k1_funct_1(E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t27_rlvect_x, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (v1_int_1(E) =>  (! [F] :  (v1_int_1(F) =>  ( (r2_tarski(C, k3_rlvect_x(A, B)) & r2_tarski(D, k3_rlvect_x(A, B)))  => r2_tarski(k3_rlvect_1(A, k1_rlvect_1(A, C, E), k1_rlvect_1(A, D, F)), k3_rlvect_x(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_rlvect_x, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (B=k8_funcop_1(u1_struct_0(A), k2_finseq_1(k3_finseq_1(B)), k4_struct_0(A)) => k4_rlvect_1(A, B)=k4_struct_0(A)) ) ) ) ) ).
fof(t29_rlvect_x, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r2_tarski(D, k2_finseq_1(k3_finseq_1(B))) & B=k1_funct_4(k8_funcop_1(u1_struct_0(A), k2_finseq_1(k3_finseq_1(B)), k4_struct_0(A)), k8_funcop_1(u1_struct_0(A), k1_tarski(D), C)))  => k4_rlvect_1(A, B)=C) ) ) ) ) ) ) ) ) ).
fof(t30_rlvect_x, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k2_finseq_1(k3_finseq_1(B))) => r2_tarski(k7_partfun1(u1_struct_0(A), B, C), k3_rlvect_x(A, B))) ) ) ) ) ) ) ).
fof(t31_rlvect_x, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) => r1_tarski(k2_relset_1(u1_struct_0(A), B), k3_rlvect_x(A, B))) ) ) ) ).
fof(t32_rlvect_x, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, u1_struct_0(A)))  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (! [E] :  ( (v1_relat_1(E) &  (v5_relat_1(E, k4_numbers) &  (v1_funct_1(E) & v1_finseq_1(E)) ) )  =>  ( (r1_tarski(k2_relset_1(u1_struct_0(A), C), k3_rlvect_x(A, B)) &  (k3_finseq_1(C)=k3_finseq_1(E) &  (k3_finseq_1(C)=k3_finseq_1(D) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k2_finseq_1(k3_finseq_1(C))) => k7_partfun1(u1_struct_0(A), D, F)=k1_rlvect_1(A, k7_partfun1(u1_struct_0(A), C, F), k1_funct_1(E, F))) ) ) ) ) )  => r2_tarski(k4_rlvect_1(A, D), k3_rlvect_x(A, B))) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_rlvect_x, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, u1_struct_0(A)))  => k2_rlvect_x(A, k2_relset_1(u1_struct_0(A), B))=k3_rlvect_x(A, B)) ) ) ) ).
fof(t34_rlvect_x, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k1_rlvect_3(A, k2_rlvect_x(A, B))=k1_rlvect_3(A, B)) ) ) ) ).
fof(t35_rlvect_x, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (! [D] :  (m2_finseq_1(D, u1_struct_0(A)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(A)) =>  (! [F] :  ( (v1_relat_1(F) &  (v5_relat_1(F, k4_numbers) &  (v1_funct_1(F) & v1_finseq_1(F)) ) )  =>  ( (C=k4_rlvect_1(A, E) &  (r1_tarski(k2_relset_1(u1_struct_0(A), D), k2_rlvect_x(A, B)) &  (k3_finseq_1(D)=k3_finseq_1(E) &  (k3_finseq_1(D)=k3_finseq_1(F) &  (! [G] :  (v7_ordinal1(G) =>  (r2_tarski(G, k2_finseq_1(k3_finseq_1(D))) => k7_partfun1(u1_struct_0(A), E, G)=k1_rlvect_1(A, k7_partfun1(u1_struct_0(A), D, G), k1_funct_1(F, G))) ) ) ) ) ) )  => r2_tarski(C, k2_rlvect_x(A, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_rlvect_x, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k2_rlvect_x(A, k2_rlvect_x(A, B))=k2_rlvect_x(A, B)) ) ) ) ).
fof(t37_rlvect_x, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (k2_rlvect_x(A, B)=k2_rlvect_x(A, C) => k1_rlvect_3(A, B)=k1_rlvect_3(A, C)) ) ) ) ) ) ) ).
fof(dt_k1_rlvect_x, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (v1_int_1(B) & m1_rlvect_2(C, A)) )  => m1_rlvect_2(k1_rlvect_x(A, B, C), A)) ) ).
fof(dt_k2_rlvect_x, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k2_rlvect_x(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k3_rlvect_x, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  & m1_finseq_1(B, u1_struct_0(A)))  => m1_subset_1(k3_rlvect_x(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(d2_rlvect_x, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k2_rlvect_x(A, B)=a_2_0_rlvect_x(A, B)) ) ) ) ).
fof(d3_rlvect_x, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(A)) => k3_rlvect_x(A, B)=a_2_1_rlvect_x(A, B)) ) ) ) ).
fof(fraenkel_a_2_0_rlvect_x, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_0_rlvect_x(B, C)) <=>  (? [D] :  (m2_rlvect_2(D, B, C) &  (A=k6_rlvect_2(B, D) & r1_tarski(k2_relset_1(k1_numbers, D), k4_numbers)) ) ) ) ) ) ).
fof(fraenkel_a_2_1_rlvect_x, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  & m2_finseq_1(C, u1_struct_0(B)))  =>  (r2_hidden(A, a_2_1_rlvect_x(B, C)) <=>  (? [D] :  ( (v3_card_1(D, k3_finseq_1(C)) & m2_finseq_1(D, u1_struct_0(B)))  &  (A=k4_rlvect_1(B, D) &  (? [E] :  ( (v1_relat_1(E) &  (v5_relat_1(E, k4_numbers) &  (v1_funct_1(E) &  (v3_card_1(E, k3_finseq_1(C)) & v1_finseq_1(E)) ) ) )  &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k2_finseq_1(k3_finseq_1(C))) => k7_partfun1(u1_struct_0(B), D, F)=k1_rlvect_1(B, k7_partfun1(u1_struct_0(B), C, F), k1_funct_1(E, F))) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_rmod_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) ) )  =>  (? [C] :  (m1_rmod_2(C, A, B) &  ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v2_vectsp_2(C, A) & v4_vectsp_2(C, A)) ) ) ) ) ) ) ) ) ) ).
fof(d1_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (v1_rmod_2(C, A, B) <=>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  ( (r2_tarski(D, C) & r2_tarski(E, C))  => r2_tarski(k3_rlvect_1(B, D, E), C)) ) ) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (r2_tarski(E, C) => r2_tarski(k4_vectsp_2(A, B, D, E), C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (v1_rmod_2(C, A, B) =>  (C=k1_xboole_0 | r2_tarski(k4_struct_0(B), C)) ) ) ) ) ) ) ) ).
fof(t2_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (v1_rmod_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r2_tarski(D, C) => r2_tarski(k4_algstr_0(B, D), C)) ) ) ) ) ) ) ) ) ) ).
fof(t3_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (v1_rmod_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  ( (r2_tarski(D, C) & r2_tarski(E, C))  => r2_tarski(k5_algstr_0(B, D, E), C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  => v1_rmod_2(k6_domain_1(u1_struct_0(B), k4_struct_0(B)), A, B)) ) ) ) ).
fof(t5_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (u1_struct_0(B)=C => v1_rmod_2(C, A, B)) ) ) ) ) ) ) ).
fof(t7_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  ( (v1_rmod_2(C, A, B) & v1_rmod_2(D, A, B))  => v1_rmod_2(k9_subset_1(u1_struct_0(B), C, D), A, B)) ) ) ) ) ) ) ) ) ).
fof(d2_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_2(C, A) & l1_vectsp_2(C, A)) ) ) ) ) )  =>  (m1_rmod_2(C, A, B) <=>  (r1_tarski(u1_struct_0(C), u1_struct_0(B)) &  (k4_struct_0(C)=k4_struct_0(B) &  (u1_algstr_0(C)=k5_relat_1(u1_algstr_0(B), k2_zfmisc_1(u1_struct_0(C), u1_struct_0(C))) & u1_vectsp_2(A, C)=k5_relat_1(u1_vectsp_2(A, B), k2_zfmisc_1(u1_struct_0(C), u1_struct_0(A)))) ) ) ) ) ) ) ) ) ) ).
fof(t8_rmod_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_2(C, B) & l1_vectsp_2(C, B)) ) ) ) ) )  =>  (! [D] :  (m1_rmod_2(D, B, C) =>  (! [E] :  (m1_rmod_2(E, B, C) =>  ( (r1_struct_0(D, A) & m1_rmod_2(D, B, E))  => r1_struct_0(E, A)) ) ) ) ) ) ) ) ) ) ).
fof(t9_rmod_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_2(C, B) & l1_vectsp_2(C, B)) ) ) ) ) )  =>  (! [D] :  (m1_rmod_2(D, B, C) =>  (r1_struct_0(D, A) => r1_struct_0(C, A)) ) ) ) ) ) ) ) ).
fof(t10_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) => m1_subset_1(D, u1_struct_0(B))) ) ) ) ) ) ) ) ).
fof(t11_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) => k4_struct_0(C)=k4_struct_0(B)) ) ) ) ) ) ).
fof(t12_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_rmod_2(D, A, B) => k4_struct_0(C)=k4_struct_0(D)) ) ) ) ) ) ) ) ).
fof(t13_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_rmod_2(E, A, B) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(E)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(E)) =>  ( (F=D & G=C)  => k3_rlvect_1(E, F, G)=k3_rlvect_1(B, D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_2(C, A) & l1_vectsp_2(C, A)) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_rmod_2(E, A, C) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(E)) =>  (F=D => k4_vectsp_2(A, E, B, F)=k4_vectsp_2(A, C, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(D)) =>  (E=C => k4_algstr_0(B, C)=k4_algstr_0(D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_rmod_2(E, A, B) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(E)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(E)) =>  ( (F=D & G=C)  => k5_algstr_0(E, F, G)=k5_algstr_0(B, D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) => r1_struct_0(C, k4_struct_0(B))) ) ) ) ) ) ).
fof(t18_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_rmod_2(D, A, B) => r1_struct_0(D, k4_struct_0(C))) ) ) ) ) ) ) ) ).
fof(t19_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) => r1_struct_0(B, k4_struct_0(C))) ) ) ) ) ) ).
fof(t20_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_rmod_2(E, A, B) =>  ( (r1_struct_0(E, C) & r1_struct_0(E, D))  => r1_struct_0(E, k3_rlvect_1(B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_2(C, A) & l1_vectsp_2(C, A)) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_rmod_2(E, A, C) =>  (r1_struct_0(E, D) => r1_struct_0(E, k4_vectsp_2(A, C, B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t22_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (r1_struct_0(D, C) => r1_struct_0(D, k4_algstr_0(B, C))) ) ) ) ) ) ) ) ) ).
fof(t23_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_rmod_2(E, A, B) =>  ( (r1_struct_0(E, C) & r1_struct_0(E, D))  => r1_struct_0(E, k5_algstr_0(B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  => m1_rmod_2(B, A, B)) ) ) ) ).
fof(t25_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_vectsp_2(B, A) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v2_vectsp_2(C, A) &  (v4_vectsp_2(C, A) & l1_vectsp_2(C, A)) ) ) ) ) ) )  =>  ( (m1_rmod_2(C, A, B) & m1_rmod_2(B, A, C))  => C=B) ) ) ) ) ) ) ).
fof(t26_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_2(C, A) & l1_vectsp_2(C, A)) ) ) ) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v13_algstr_0(D) &  (v2_rlvect_1(D) &  (v3_rlvect_1(D) &  (v4_rlvect_1(D) &  (v4_vectsp_2(D, A) & l1_vectsp_2(D, A)) ) ) ) ) )  =>  ( (m1_rmod_2(B, A, C) & m1_rmod_2(C, A, D))  => m1_rmod_2(B, A, D)) ) ) ) ) ) ) ) ) ).
fof(t27_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (r1_tarski(u1_struct_0(C), u1_struct_0(D)) => m1_rmod_2(C, A, D)) ) ) ) ) ) ) ) ) ).
fof(t28_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  ( (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (r1_struct_0(C, E) => r1_struct_0(D, E)) ) )  => m1_rmod_2(C, A, D)) ) ) ) ) ) ) ) ) ).
fof(t29_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  ( (v2_vectsp_2(C, A) & m1_rmod_2(C, A, B))  =>  (! [D] :  ( (v2_vectsp_2(D, A) & m1_rmod_2(D, A, B))  =>  (u1_struct_0(C)=u1_struct_0(D) => C=D) ) ) ) ) ) ) ) ) ).
fof(t30_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  ( (v2_vectsp_2(C, A) & m1_rmod_2(C, A, B))  =>  (! [D] :  ( (v2_vectsp_2(D, A) & m1_rmod_2(D, A, B))  =>  ( (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (r1_struct_0(C, E) <=> r1_struct_0(D, E)) ) )  => C=D) ) ) ) ) ) ) ) ) ).
fof(t31_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_vectsp_2(B, A) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) ) )  =>  (! [C] :  ( (v2_vectsp_2(C, A) & m1_rmod_2(C, A, B))  =>  (u1_struct_0(C)=u1_struct_0(B) => C=B) ) ) ) ) ) ) ).
fof(t32_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_vectsp_2(B, A) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) ) )  =>  (! [C] :  ( (v2_vectsp_2(C, A) & m1_rmod_2(C, A, B))  =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(B)) => r1_struct_0(C, D)) )  => C=B) ) ) ) ) ) ) ).
fof(t33_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (u1_struct_0(D)=C => v1_rmod_2(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(t34_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  ~ ( ( ~ (C=k1_xboole_0)  &  (v1_rmod_2(C, A, B) &  (! [D] :  ( (v2_vectsp_2(D, A) & m1_rmod_2(D, A, B))  =>  ~ (C=u1_struct_0(D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  ( (v2_vectsp_2(C, A) & m1_rmod_2(C, A, B))  =>  (C=k1_rmod_2(A, B) <=> u1_struct_0(C)=k6_domain_1(u1_struct_0(B), k4_struct_0(B))) ) ) ) ) ) ) ).
fof(d4_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  => k2_rmod_2(A, B)=g1_vectsp_2(A, u1_struct_0(B), u1_algstr_0(B), u2_struct_0(B), u1_vectsp_2(A, B))) ) ) ) ).
fof(t35_rmod_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_2(C, B) & l1_vectsp_2(C, B)) ) ) ) ) )  =>  (r1_struct_0(k1_rmod_2(B, C), A) <=> A=k4_struct_0(C)) ) ) ) ) ) ).
fof(t36_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) => k1_rmod_2(A, C)=k1_rmod_2(A, B)) ) ) ) ) ) ).
fof(t37_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_rmod_2(D, A, B) => k1_rmod_2(A, C)=k1_rmod_2(A, D)) ) ) ) ) ) ) ) ).
fof(t38_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) => m1_rmod_2(k1_rmod_2(A, C), A, B)) ) ) ) ) ) ).
fof(t39_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) => m1_rmod_2(k1_rmod_2(A, B), A, C)) ) ) ) ) ) ).
fof(t40_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_rmod_2(D, A, B) => m1_rmod_2(k1_rmod_2(A, C), A, D)) ) ) ) ) ) ) ) ).
fof(t41_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_vectsp_2(B, A) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) ) )  => m1_rmod_2(B, A, k2_rmod_2(A, B))) ) ) ) ).
fof(d6_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (m2_rmod_2(D, A, B, C) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) & D=k3_rmod_2(A, B, E, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_rmod_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_2(C, B) & l1_vectsp_2(C, B)) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_rmod_2(E, B, C) =>  (r2_hidden(A, k3_rmod_2(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(C)) &  (r1_struct_0(E, F) & A=k3_rlvect_1(C, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (r2_tarski(k4_struct_0(B), k3_rmod_2(A, B, C, D)) <=> r1_struct_0(D, C)) ) ) ) ) ) ) ) ) ).
fof(t44_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_rmod_2(D, A, B) => r2_tarski(C, k3_rmod_2(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t45_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) => k3_rmod_2(A, B, k4_struct_0(B), C)=u1_struct_0(C)) ) ) ) ) ) ).
fof(t46_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k3_rmod_2(A, B, C, k1_rmod_2(A, B))=k6_domain_1(u1_struct_0(B), C)) ) ) ) ) ) ).
fof(t47_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k3_rmod_2(A, B, C, k2_rmod_2(A, B))=u1_struct_0(B)) ) ) ) ) ) ).
fof(t48_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (r2_tarski(k4_struct_0(B), k3_rmod_2(A, B, C, D)) <=> k3_rmod_2(A, B, C, D)=u1_struct_0(D)) ) ) ) ) ) ) ) ) ).
fof(t49_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (r1_struct_0(D, C) <=> k3_rmod_2(A, B, C, D)=u1_struct_0(D)) ) ) ) ) ) ) ) ) ).
fof(t50_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_2(C, A) & l1_vectsp_2(C, A)) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_rmod_2(E, A, C) =>  (r1_struct_0(E, D) => k3_rmod_2(A, C, k4_vectsp_2(A, C, B, D), E)=u1_struct_0(E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_rmod_2(E, A, B) =>  (r1_struct_0(E, C) <=> k3_rmod_2(A, B, D, E)=k3_rmod_2(A, B, k3_rlvect_1(B, D, C), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_rmod_2(E, A, B) =>  (r1_struct_0(E, C) <=> k3_rmod_2(A, B, D, E)=k3_rmod_2(A, B, k5_algstr_0(B, D, C), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_rmod_2(E, A, B) =>  (r2_tarski(D, k3_rmod_2(A, B, C, E)) <=> k3_rmod_2(A, B, C, E)=k3_rmod_2(A, B, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_rmod_2(F, A, B) =>  ( (r2_tarski(C, k3_rmod_2(A, B, D, F)) & r2_tarski(C, k3_rmod_2(A, B, E, F)))  => k3_rmod_2(A, B, D, F)=k3_rmod_2(A, B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t55_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_2(C, A) & l1_vectsp_2(C, A)) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_rmod_2(E, A, C) =>  (r1_struct_0(E, D) => r2_tarski(k4_vectsp_2(A, C, B, D), k3_rmod_2(A, C, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (r1_struct_0(D, C) => r2_tarski(k4_algstr_0(B, C), k3_rmod_2(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t57_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_rmod_2(E, A, B) =>  (r2_tarski(k3_rlvect_1(B, C, D), k3_rmod_2(A, B, D, E)) <=> r1_struct_0(E, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_rmod_2(E, A, B) =>  (r2_tarski(k5_algstr_0(B, D, C), k3_rmod_2(A, B, D, E)) <=> r1_struct_0(E, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_rmod_2(E, A, B) =>  (r2_tarski(C, k3_rmod_2(A, B, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (r1_struct_0(E, F) & C=k5_algstr_0(B, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t60_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_rmod_2(E, A, B) =>  ( (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (r2_tarski(C, k3_rmod_2(A, B, F, E)) & r2_tarski(D, k3_rmod_2(A, B, F, E))) ) )  <=> r1_struct_0(E, k5_algstr_0(B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_rmod_2(E, A, B) =>  ~ ( (k3_rmod_2(A, B, D, E)=k3_rmod_2(A, B, C, E) &  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ~ ( (r1_struct_0(E, F) & k3_rlvect_1(B, D, F)=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_rmod_2(E, A, B) =>  ~ ( (k3_rmod_2(A, B, D, E)=k3_rmod_2(A, B, C, E) &  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ~ ( (r1_struct_0(E, F) & k5_algstr_0(B, D, F)=C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v2_vectsp_2(D, A) & m1_rmod_2(D, A, B))  =>  (! [E] :  ( (v2_vectsp_2(E, A) & m1_rmod_2(E, A, B))  =>  (k3_rmod_2(A, B, C, D)=k3_rmod_2(A, B, C, E) <=> D=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t64_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v2_vectsp_2(E, A) & m1_rmod_2(E, A, B))  =>  (! [F] :  ( (v2_vectsp_2(F, A) & m1_rmod_2(F, A, B))  =>  (k3_rmod_2(A, B, D, E)=k3_rmod_2(A, B, C, F) => E=F) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t65_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (? [E] :  (m2_rmod_2(E, A, B, D) & r2_tarski(C, E)) ) ) ) ) ) ) ) ) ) ).
fof(t66_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m2_rmod_2(D, A, B, C) =>  (v1_rmod_2(D, A, B) <=> D=u1_struct_0(C)) ) ) ) ) ) ) ) ) ).
fof(t67_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  ( (v2_vectsp_2(C, A) & m1_rmod_2(C, A, B))  =>  (! [D] :  ( (v2_vectsp_2(D, A) & m1_rmod_2(D, A, B))  =>  (! [E] :  (m2_rmod_2(E, A, B, C) =>  (! [F] :  (m2_rmod_2(F, A, B, D) =>  (E=F => C=D) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t68_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => m2_rmod_2(k6_domain_1(u1_struct_0(B), C), A, B, k1_rmod_2(A, B))) ) ) ) ) ) ).
fof(t69_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  ~ ( (m2_rmod_2(C, A, B, k1_rmod_2(A, B)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  ~ (C=k6_domain_1(u1_struct_0(B), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t70_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) => m2_rmod_2(u1_struct_0(C), A, B, C)) ) ) ) ) ) ).
fof(t71_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  => m2_rmod_2(u1_struct_0(B), A, B, k2_rmod_2(A, B))) ) ) ) ).
fof(t72_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (m2_rmod_2(C, A, B, k2_rmod_2(A, B)) => C=u1_struct_0(B)) ) ) ) ) ) ) ).
fof(t73_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m2_rmod_2(D, A, B, C) =>  (r2_tarski(k4_struct_0(B), D) <=> D=u1_struct_0(C)) ) ) ) ) ) ) ) ) ).
fof(t74_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (! [E] :  (m2_rmod_2(E, A, B, D) =>  (r2_tarski(C, E) <=> E=k3_rmod_2(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t75_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_rmod_2(E, A, B) =>  (! [F] :  (m2_rmod_2(F, A, B, E) =>  ~ ( (r2_tarski(C, F) &  (r2_tarski(D, F) &  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  ~ ( (r1_struct_0(E, G) & k3_rlvect_1(B, C, G)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t76_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_rmod_2(E, A, B) =>  (! [F] :  (m2_rmod_2(F, A, B, E) =>  ~ ( (r2_tarski(C, F) &  (r2_tarski(D, F) &  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  ~ ( (r1_struct_0(E, G) & k5_algstr_0(B, C, G)=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t77_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_rmod_2(E, A, B) =>  ( (? [F] :  (m2_rmod_2(F, A, B, E) &  (r2_tarski(C, F) & r2_tarski(D, F)) ) )  <=> r1_struct_0(E, k5_algstr_0(B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t78_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (! [E] :  (m2_rmod_2(E, A, B, D) =>  (! [F] :  (m2_rmod_2(F, A, B, D) =>  ( (r2_tarski(C, E) & r2_tarski(C, F))  => E=F) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_m1_rmod_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_2(C, A) & l1_vectsp_2(C, A)) ) ) ) ) ) ) ) ) ) ).
fof(existence_m1_rmod_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) ) )  =>  (? [C] : m1_rmod_2(C, A, B)) ) ) ).
fof(dt_k1_rmod_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) ) )  =>  (v2_vectsp_2(k1_rmod_2(A, B), A) & m1_rmod_2(k1_rmod_2(A, B), A, B)) ) ) ).
fof(dt_k2_rmod_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) ) )  =>  (v2_vectsp_2(k2_rmod_2(A, B), A) & m1_rmod_2(k2_rmod_2(A, B), A, B)) ) ) ).
fof(dt_k3_rmod_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) & m1_rmod_2(D, A, B)) ) )  => m1_subset_1(k3_rmod_2(A, B, C, D), k1_zfmisc_1(u1_struct_0(B)))) ) ).
fof(dt_m2_rmod_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  & m1_rmod_2(C, A, B)) )  =>  (! [D] :  (m2_rmod_2(D, A, B, C) => m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) ) ) ).
fof(existence_m2_rmod_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  & m1_rmod_2(C, A, B)) )  =>  (? [D] : m2_rmod_2(D, A, B, C)) ) ) ).
fof(t6_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) =>  ( (v1_rmod_2(C, A, B) &  (v1_rmod_2(D, A, B) & E=a_4_0_rmod_2(A, B, C, D)) )  => v1_rmod_2(E, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_rmod_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_rmod_2(D, A, B) => k3_rmod_2(A, B, C, D)=a_4_1_rmod_2(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_rmod_2, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_2(C, B) & l1_vectsp_2(C, B)) ) ) ) ) )  &  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(C))) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(C)))) ) )  =>  (r2_hidden(A, a_4_0_rmod_2(B, C, D, E)) <=>  (? [F, G] :  ( (m1_subset_1(F, u1_struct_0(C)) & m1_subset_1(G, u1_struct_0(C)))  &  (A=k3_rlvect_1(C, G, F) &  (r2_tarski(G, D) & r2_tarski(F, E)) ) ) ) ) ) ) ).
fof(fraenkel_a_4_1_rmod_2, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_2(C, B) & l1_vectsp_2(C, B)) ) ) ) ) )  &  (m1_subset_1(D, u1_struct_0(C)) & m1_rmod_2(E, B, C)) ) )  =>  (r2_hidden(A, a_4_1_rmod_2(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(C)) &  (A=k3_rlvect_1(C, D, F) & r1_struct_0(E, F)) ) ) ) ) ) ).
fof(fc1_rmod_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) ) )  =>  ~ (v1_xboole_0(k3_rmod_3(A, B))) ) ) ).
fof(d2_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (! [E] :  ( (v2_vectsp_2(E, A) & m1_rmod_2(E, A, B))  =>  (E=k2_rmod_3(A, B, C, D) <=> u1_struct_0(E)=k3_xboole_0(u1_struct_0(C), u1_struct_0(D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (! [E] :  (r1_struct_0(k1_rmod_3(A, B, C, D), E) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(B)) &  (r1_struct_0(C, F) &  (r1_struct_0(D, G) & E=k3_rlvect_1(B, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  ( (r1_struct_0(C, E) | r1_struct_0(D, E))  => r1_struct_0(k1_rmod_3(A, B, C, D), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (! [E] :  (r1_struct_0(k2_rmod_3(A, B, C, D), E) <=>  (r1_struct_0(C, E) & r1_struct_0(D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  ( (v2_vectsp_2(C, A) & m1_rmod_2(C, A, B))  => k1_rmod_3(A, B, C, C)=C) ) ) ) ) ) ).
fof(t5_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_rmod_2(D, A, B) => k1_rmod_3(A, B, C, D)=k1_rmod_3(A, B, D, C)) ) ) ) ) ) ) ) ).
fof(t6_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (! [E] :  (m1_rmod_2(E, A, B) => k1_rmod_3(A, B, C, k1_rmod_3(A, B, D, E))=k1_rmod_3(A, B, k1_rmod_3(A, B, C, D), E)) ) ) ) ) ) ) ) ) ) ).
fof(t7_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (m1_rmod_2(C, A, k1_rmod_3(A, B, C, D)) & m1_rmod_2(D, A, k1_rmod_3(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t8_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  ( (v2_vectsp_2(D, A) & m1_rmod_2(D, A, B))  =>  (m1_rmod_2(C, A, D) <=> k1_rmod_3(A, B, C, D)=D) ) ) ) ) ) ) ) ) ).
fof(t9_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  ( (v2_vectsp_2(C, A) & m1_rmod_2(C, A, B))  =>  (k1_rmod_3(A, B, k1_rmod_2(A, B), C)=C & k1_rmod_3(A, B, C, k1_rmod_2(A, B))=C) ) ) ) ) ) ) ).
fof(t10_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_vectsp_2(B, A) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) ) )  =>  (k1_rmod_3(A, B, k1_rmod_2(A, B), k2_rmod_2(A, B))=B & k1_rmod_3(A, B, k2_rmod_2(A, B), k1_rmod_2(A, B))=B) ) ) ) ) ).
fof(t11_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (k1_rmod_3(A, B, k2_rmod_2(A, B), C)=g1_vectsp_2(A, u1_struct_0(B), u1_algstr_0(B), u2_struct_0(B), u1_vectsp_2(A, B)) & k1_rmod_3(A, B, C, k2_rmod_2(A, B))=g1_vectsp_2(A, u1_struct_0(B), u1_algstr_0(B), u2_struct_0(B), u1_vectsp_2(A, B))) ) ) ) ) ) ) ).
fof(t12_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_vectsp_2(B, A) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) ) )  => k1_rmod_3(A, B, k2_rmod_2(A, B), k2_rmod_2(A, B))=B) ) ) ) ).
fof(t13_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  ( (v2_vectsp_2(C, A) & m1_rmod_2(C, A, B))  => k2_rmod_3(A, B, C, C)=C) ) ) ) ) ) ).
fof(t14_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_rmod_2(D, A, B) => k2_rmod_3(A, B, C, D)=k2_rmod_3(A, B, D, C)) ) ) ) ) ) ) ) ).
fof(t15_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (! [E] :  (m1_rmod_2(E, A, B) => k2_rmod_3(A, B, C, k2_rmod_3(A, B, D, E))=k2_rmod_3(A, B, k2_rmod_3(A, B, C, D), E)) ) ) ) ) ) ) ) ) ) ).
fof(t16_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (m1_rmod_2(k2_rmod_3(A, B, C, D), A, C) & m1_rmod_2(k2_rmod_3(A, B, C, D), A, D)) ) ) ) ) ) ) ) ) ).
fof(t17_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  ( (! [D] :  ( (v2_vectsp_2(D, A) & m1_rmod_2(D, A, B))  =>  (m1_rmod_2(D, A, C) => k2_rmod_3(A, B, D, C)=D) ) )  &  (! [D] :  (m1_rmod_2(D, A, B) =>  (k2_rmod_3(A, B, D, C)=D => m1_rmod_2(D, A, C)) ) ) ) ) ) ) ) ) ) ).
fof(t18_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (! [E] :  (m1_rmod_2(E, A, B) =>  (m1_rmod_2(C, A, D) => m1_rmod_2(k2_rmod_3(A, B, C, E), A, k2_rmod_3(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (! [E] :  (m1_rmod_2(E, A, B) =>  (m1_rmod_2(C, A, E) => m1_rmod_2(k2_rmod_3(A, B, C, D), A, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (! [E] :  (m1_rmod_2(E, A, B) =>  ( (m1_rmod_2(C, A, D) & m1_rmod_2(C, A, E))  => m1_rmod_2(C, A, k2_rmod_3(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (k2_rmod_3(A, B, k1_rmod_2(A, B), C)=k1_rmod_2(A, B) & k2_rmod_3(A, B, C, k1_rmod_2(A, B))=k1_rmod_2(A, B)) ) ) ) ) ) ) ).
fof(t22_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  ( (v2_vectsp_2(C, A) & m1_rmod_2(C, A, B))  =>  (k2_rmod_3(A, B, k2_rmod_2(A, B), C)=C & k2_rmod_3(A, B, C, k2_rmod_2(A, B))=C) ) ) ) ) ) ) ).
fof(t23_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_vectsp_2(B, A) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) ) )  => k2_rmod_3(A, B, k2_rmod_2(A, B), k2_rmod_2(A, B))=B) ) ) ) ).
fof(t24_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_rmod_2(D, A, B) => m1_rmod_2(k2_rmod_3(A, B, C, D), A, k1_rmod_3(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(t25_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  ( (v2_vectsp_2(D, A) & m1_rmod_2(D, A, B))  => k1_rmod_3(A, B, k2_rmod_3(A, B, C, D), D)=D) ) ) ) ) ) ) ) ).
fof(t26_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  ( (v2_vectsp_2(D, A) & m1_rmod_2(D, A, B))  => k2_rmod_3(A, B, D, k1_rmod_3(A, B, D, C))=D) ) ) ) ) ) ) ) ).
fof(t27_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (! [E] :  (m1_rmod_2(E, A, B) => m1_rmod_2(k1_rmod_3(A, B, k2_rmod_3(A, B, C, D), k2_rmod_3(A, B, D, E)), A, k2_rmod_3(A, B, D, k1_rmod_3(A, B, C, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t28_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (! [E] :  (m1_rmod_2(E, A, B) =>  (m1_rmod_2(C, A, D) => k2_rmod_3(A, B, D, k1_rmod_3(A, B, C, E))=k1_rmod_3(A, B, k2_rmod_3(A, B, C, D), k2_rmod_3(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (! [E] :  (m1_rmod_2(E, A, B) => m1_rmod_2(k1_rmod_3(A, B, D, k2_rmod_3(A, B, C, E)), A, k2_rmod_3(A, B, k1_rmod_3(A, B, C, D), k1_rmod_3(A, B, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t30_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (! [E] :  (m1_rmod_2(E, A, B) =>  (m1_rmod_2(C, A, D) => k1_rmod_3(A, B, D, k2_rmod_3(A, B, C, E))=k2_rmod_3(A, B, k1_rmod_3(A, B, C, D), k1_rmod_3(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (! [E] :  ( (v2_vectsp_2(E, A) & m1_rmod_2(E, A, B))  =>  (m1_rmod_2(E, A, D) => k1_rmod_3(A, B, E, k2_rmod_3(A, B, C, D))=k2_rmod_3(A, B, k1_rmod_3(A, B, E, C), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  ( (v2_vectsp_2(C, A) & m1_rmod_2(C, A, B))  =>  (! [D] :  ( (v2_vectsp_2(D, A) & m1_rmod_2(D, A, B))  =>  (k1_rmod_3(A, B, C, D)=D <=> k2_rmod_3(A, B, C, D)=C) ) ) ) ) ) ) ) ) ).
fof(t33_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  ( (v2_vectsp_2(D, A) & m1_rmod_2(D, A, B))  =>  (! [E] :  ( (v2_vectsp_2(E, A) & m1_rmod_2(E, A, B))  =>  (m1_rmod_2(C, A, D) => m1_rmod_2(k1_rmod_3(A, B, C, E), A, k1_rmod_3(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (! [E] :  (m1_rmod_2(E, A, B) =>  (m1_rmod_2(C, A, D) => m1_rmod_2(C, A, k1_rmod_3(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (! [E] :  (m1_rmod_2(E, A, B) =>  ( (m1_rmod_2(C, A, E) & m1_rmod_2(D, A, E))  => m1_rmod_2(k1_rmod_3(A, B, C, D), A, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  ( ~ ( ( (? [E] :  (m1_rmod_2(E, A, B) & u1_struct_0(E)=k2_xboole_0(u1_struct_0(C), u1_struct_0(D))) )  &  ( ~ (m1_rmod_2(C, A, D))  &  ~ (m1_rmod_2(D, A, C)) ) ) )  &  ~ ( ( (m1_rmod_2(C, A, D) | m1_rmod_2(D, A, C))  &  (! [E] :  (m1_rmod_2(E, A, B) =>  ~ (u1_struct_0(E)=k2_xboole_0(u1_struct_0(C), u1_struct_0(D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (C=k3_rmod_3(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (? [E] :  ( (v2_vectsp_2(E, A) & m1_rmod_2(E, A, B))  & E=D) ) ) ) ) ) ) ) ) ) ).
fof(t37_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_vectsp_2(B, A) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) ) )  => r2_tarski(B, k3_rmod_3(A, B))) ) ) ) ).
fof(d4_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (r1_rmod_3(A, B, C, D) <=>  (g1_vectsp_2(A, u1_struct_0(B), u1_algstr_0(B), u2_struct_0(B), u1_vectsp_2(A, B))=k1_rmod_3(A, B, C, D) & k2_rmod_3(A, B, C, D)=k1_rmod_2(A, B)) ) ) ) ) ) ) ) ) ) ).
fof(t38_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (r1_rmod_3(A, B, C, D) => r1_rmod_3(A, B, D, C)) ) ) ) ) ) ) ) ) ).
fof(t39_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_vectsp_2(B, A) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) ) )  =>  (r1_rmod_3(A, B, k1_rmod_2(A, B), k2_rmod_2(A, B)) & r1_rmod_3(A, B, k2_rmod_2(A, B), k1_rmod_2(A, B))) ) ) ) ) ).
fof(t40_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (! [E] :  (m2_rmod_2(E, A, B, C) =>  (! [F] :  (m2_rmod_2(F, A, B, D) =>  ( ~ (r1_xboole_0(E, F))  => m2_rmod_2(k9_subset_1(u1_struct_0(B), E, F), A, B, k2_rmod_3(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t41_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (r1_rmod_3(A, B, C, D) <=>  (! [E] :  (m2_rmod_2(E, A, B, C) =>  (! [F] :  (m2_rmod_2(F, A, B, D) =>  (? [G] :  (m1_subset_1(G, u1_struct_0(B)) & k9_subset_1(u1_struct_0(B), E, F)=k6_domain_1(u1_struct_0(B), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_vectsp_2(B, A) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (k1_rmod_3(A, B, C, D)=B <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(B)) &  (r1_struct_0(C, F) &  (r1_struct_0(D, G) & E=k3_rlvect_1(B, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t43_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(B)) =>  ( (r1_rmod_3(A, B, C, D) &  (E=k3_rlvect_1(B, F, G) &  (E=k3_rlvect_1(B, H, I) &  (r1_struct_0(C, F) &  (r1_struct_0(C, H) &  (r1_struct_0(D, G) & r1_struct_0(D, I)) ) ) ) ) )  =>  (F=H & G=I) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (B=k1_rmod_3(A, B, C, D) =>  ( (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(B)) &  (? [H] :  (m1_subset_1(H, u1_struct_0(B)) &  (? [I] :  (m1_subset_1(I, u1_struct_0(B)) &  (E=k3_rlvect_1(B, F, G) &  (E=k3_rlvect_1(B, H, I) &  (r1_struct_0(C, F) &  (r1_struct_0(C, H) &  (r1_struct_0(D, G) &  (r1_struct_0(D, I) &  ~ ( (F=H & G=I) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  | r1_rmod_3(A, B, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(d5_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (! [E] :  (m1_rmod_2(E, A, B) =>  (r1_rmod_3(A, B, D, E) =>  (! [F] :  (m1_subset_1(F, k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))) =>  (F=k4_rmod_3(A, B, C, D, E) <=>  (C=k3_rlvect_1(B, k2_domain_1(u1_struct_0(B), u1_struct_0(B), F), k3_domain_1(u1_struct_0(B), u1_struct_0(B), F)) &  (r1_struct_0(D, k2_domain_1(u1_struct_0(B), u1_struct_0(B), F)) & r1_struct_0(E, k3_domain_1(u1_struct_0(B), u1_struct_0(B), F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (r1_rmod_3(A, B, C, D) => k2_domain_1(u1_struct_0(B), u1_struct_0(B), k4_rmod_3(A, B, E, C, D))=k3_domain_1(u1_struct_0(B), u1_struct_0(B), k4_rmod_3(A, B, E, D, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (r1_rmod_3(A, B, C, D) => k3_domain_1(u1_struct_0(B), u1_struct_0(B), k4_rmod_3(A, B, E, C, D))=k2_domain_1(u1_struct_0(B), u1_struct_0(B), k4_rmod_3(A, B, E, D, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k3_rmod_3(A, B), k3_rmod_3(A, B)), k3_rmod_3(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rmod_3(A, B), k3_rmod_3(A, B)), k3_rmod_3(A, B))))) )  =>  (C=k5_rmod_3(A, B) <=>  (! [D] :  (m1_subset_1(D, k3_rmod_3(A, B)) =>  (! [E] :  (m1_subset_1(E, k3_rmod_3(A, B)) =>  (! [F] :  (m1_rmod_2(F, A, B) =>  (! [G] :  (m1_rmod_2(G, A, B) =>  ( (D=F & E=G)  => k4_binop_1(k3_rmod_3(A, B), C, D, E)=k1_rmod_3(A, B, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k3_rmod_3(A, B), k3_rmod_3(A, B)), k3_rmod_3(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rmod_3(A, B), k3_rmod_3(A, B)), k3_rmod_3(A, B))))) )  =>  (C=k6_rmod_3(A, B) <=>  (! [D] :  (m1_subset_1(D, k3_rmod_3(A, B)) =>  (! [E] :  (m1_subset_1(E, k3_rmod_3(A, B)) =>  (! [F] :  (m1_rmod_2(F, A, B) =>  (! [G] :  (m1_rmod_2(G, A, B) =>  ( (D=F & E=G)  => k4_binop_1(k3_rmod_3(A, B), C, D, E)=k2_rmod_3(A, B, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  ( ~ (v2_struct_0(g3_lattices(k3_rmod_3(A, B), k5_rmod_3(A, B), k6_rmod_3(A, B))))  &  (v10_lattices(g3_lattices(k3_rmod_3(A, B), k5_rmod_3(A, B), k6_rmod_3(A, B))) & l3_lattices(g3_lattices(k3_rmod_3(A, B), k5_rmod_3(A, B), k6_rmod_3(A, B)))) ) ) ) ) ) ).
fof(t48_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  ( ~ (v2_struct_0(g3_lattices(k3_rmod_3(A, B), k5_rmod_3(A, B), k6_rmod_3(A, B))))  &  (v10_lattices(g3_lattices(k3_rmod_3(A, B), k5_rmod_3(A, B), k6_rmod_3(A, B))) &  (v13_lattices(g3_lattices(k3_rmod_3(A, B), k5_rmod_3(A, B), k6_rmod_3(A, B))) & l3_lattices(g3_lattices(k3_rmod_3(A, B), k5_rmod_3(A, B), k6_rmod_3(A, B)))) ) ) ) ) ) ) ).
fof(t49_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  ( ~ (v2_struct_0(g3_lattices(k3_rmod_3(A, B), k5_rmod_3(A, B), k6_rmod_3(A, B))))  &  (v10_lattices(g3_lattices(k3_rmod_3(A, B), k5_rmod_3(A, B), k6_rmod_3(A, B))) &  (v14_lattices(g3_lattices(k3_rmod_3(A, B), k5_rmod_3(A, B), k6_rmod_3(A, B))) & l3_lattices(g3_lattices(k3_rmod_3(A, B), k5_rmod_3(A, B), k6_rmod_3(A, B)))) ) ) ) ) ) ) ).
fof(t50_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  ( ~ (v2_struct_0(g3_lattices(k3_rmod_3(A, B), k5_rmod_3(A, B), k6_rmod_3(A, B))))  &  (v10_lattices(g3_lattices(k3_rmod_3(A, B), k5_rmod_3(A, B), k6_rmod_3(A, B))) &  (v15_lattices(g3_lattices(k3_rmod_3(A, B), k5_rmod_3(A, B), k6_rmod_3(A, B))) & l3_lattices(g3_lattices(k3_rmod_3(A, B), k5_rmod_3(A, B), k6_rmod_3(A, B)))) ) ) ) ) ) ) ).
fof(t51_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  ( ~ (v2_struct_0(g3_lattices(k3_rmod_3(A, B), k5_rmod_3(A, B), k6_rmod_3(A, B))))  &  (v10_lattices(g3_lattices(k3_rmod_3(A, B), k5_rmod_3(A, B), k6_rmod_3(A, B))) &  (v12_lattices(g3_lattices(k3_rmod_3(A, B), k5_rmod_3(A, B), k6_rmod_3(A, B))) & l3_lattices(g3_lattices(k3_rmod_3(A, B), k5_rmod_3(A, B), k6_rmod_3(A, B)))) ) ) ) ) ) ) ).
fof(dt_k1_rmod_3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  &  (m1_rmod_2(C, A, B) & m1_rmod_2(D, A, B)) ) )  =>  (v2_vectsp_2(k1_rmod_3(A, B, C, D), A) & m1_rmod_2(k1_rmod_3(A, B, C, D), A, B)) ) ) ).
fof(dt_k2_rmod_3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  &  (m1_rmod_2(C, A, B) & m1_rmod_2(D, A, B)) ) )  =>  (v2_vectsp_2(k2_rmod_3(A, B, C, D), A) & m1_rmod_2(k2_rmod_3(A, B, C, D), A, B)) ) ) ).
fof(dt_k4_rmod_3, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(B)) &  (m1_rmod_2(D, A, B) & m1_rmod_2(E, A, B)) ) ) )  => m1_subset_1(k4_rmod_3(A, B, C, D, E), k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B)))) ) ).
fof(dt_k5_rmod_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) ) )  =>  (v1_funct_1(k5_rmod_3(A, B)) &  (v1_funct_2(k5_rmod_3(A, B), k2_zfmisc_1(k3_rmod_3(A, B), k3_rmod_3(A, B)), k3_rmod_3(A, B)) & m1_subset_1(k5_rmod_3(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rmod_3(A, B), k3_rmod_3(A, B)), k3_rmod_3(A, B))))) ) ) ) ).
fof(dt_k6_rmod_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) ) )  =>  (v1_funct_1(k6_rmod_3(A, B)) &  (v1_funct_2(k6_rmod_3(A, B), k2_zfmisc_1(k3_rmod_3(A, B), k3_rmod_3(A, B)), k3_rmod_3(A, B)) & m1_subset_1(k6_rmod_3(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rmod_3(A, B), k3_rmod_3(A, B)), k3_rmod_3(A, B))))) ) ) ) ).
fof(d1_rmod_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_2(C, A, B) =>  (! [D] :  (m1_rmod_2(D, A, B) =>  (! [E] :  ( (v2_vectsp_2(E, A) & m1_rmod_2(E, A, B))  =>  (E=k1_rmod_3(A, B, C, D) <=> u1_struct_0(E)=a_4_0_rmod_3(A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_rmod_3, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_2(C, B) & l1_vectsp_2(C, B)) ) ) ) ) )  &  (m1_rmod_2(D, B, C) & m1_rmod_2(E, B, C)) ) )  =>  (r2_hidden(A, a_4_0_rmod_3(B, C, D, E)) <=>  (? [F, G] :  ( (m1_subset_1(F, u1_struct_0(C)) & m1_subset_1(G, u1_struct_0(C)))  &  (A=k3_rlvect_1(C, G, F) &  (r1_struct_0(D, G) & r1_struct_0(E, F)) ) ) ) ) ) ) ).
fof(t1_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(B)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(B)) =>  ( (k3_finseq_1(D)=k3_finseq_1(E) &  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  ( (r2_tarski(F, k9_xtuple_0(D)) & G=k1_funct_1(E, F))  => k1_funct_1(D, F)=k4_vectsp_2(A, B, C, G)) ) ) ) ) )  => k4_rlvect_1(B, D)=k4_vectsp_2(A, B, C, k4_rlvect_1(B, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_vectsp_2(A, B, C, k4_rlvect_1(B, k6_finseq_1(u1_struct_0(B))))=k4_struct_0(B)) ) ) ) ) ) ).
fof(t3_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => k4_vectsp_2(A, B, C, k4_rlvect_1(B, k2_finseq_4(u1_struct_0(B), E, D)))=k3_rlvect_1(B, k4_vectsp_2(A, B, C, E), k4_vectsp_2(A, B, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t4_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) => k4_vectsp_2(A, B, C, k4_rlvect_1(B, k3_finseq_4(u1_struct_0(B), E, D, F)))=k3_rlvect_1(B, k3_rlvect_1(B, k4_vectsp_2(A, B, C, E), k4_vectsp_2(A, B, C, D)), k4_vectsp_2(A, B, C, F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (D=k1_rmod_4(A, B, C) <=>  (? [E] :  (m2_finseq_1(E, u1_struct_0(B)) &  (k10_xtuple_0(E)=C &  (v2_funct_1(E) & D=k4_rlvect_1(B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  => k1_rmod_4(A, B, k1_struct_0(B))=k4_struct_0(B)) ) ) ) ).
fof(t6_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k1_rmod_4(A, B, k6_domain_1(u1_struct_0(B), C))=C) ) ) ) ) ) ).
fof(t7_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  ( ~ (C=D)  => k1_rmod_4(A, B, k7_domain_1(u1_struct_0(B), C, D))=k3_rlvect_1(B, C, D)) ) ) ) ) ) ) ) ) ).
fof(t8_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  ~ ( ( ~ (C=D)  &  ( ~ (D=E)  &  ( ~ (C=E)  &  ~ (k1_rmod_4(A, B, k8_domain_1(u1_struct_0(B), C, D, E))=k3_rlvect_1(B, k3_rlvect_1(B, C, D), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))))  =>  (r1_xboole_0(D, C) => k1_rmod_4(A, B, k4_subset_1(u1_struct_0(B), D, C))=k3_rlvect_1(B, k1_rmod_4(A, B, D), k1_rmod_4(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t10_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))))  => k1_rmod_4(A, B, k4_subset_1(u1_struct_0(B), D, C))=k5_algstr_0(B, k3_rlvect_1(B, k1_rmod_4(A, B, D), k1_rmod_4(A, B, C)), k1_rmod_4(A, B, k9_subset_1(u1_struct_0(B), D, C)))) ) ) ) ) ) ) ) ).
fof(t11_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))))  => k1_rmod_4(A, B, k9_subset_1(u1_struct_0(B), D, C))=k5_algstr_0(B, k3_rlvect_1(B, k1_rmod_4(A, B, D), k1_rmod_4(A, B, C)), k1_rmod_4(A, B, k4_subset_1(u1_struct_0(B), D, C)))) ) ) ) ) ) ) ) ).
fof(t12_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))))  => k1_rmod_4(A, B, k7_subset_1(u1_struct_0(B), D, C))=k5_algstr_0(B, k1_rmod_4(A, B, k4_subset_1(u1_struct_0(B), D, C)), k1_rmod_4(A, B, C))) ) ) ) ) ) ) ) ).
fof(t13_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))))  => k1_rmod_4(A, B, k7_subset_1(u1_struct_0(B), D, C))=k5_algstr_0(B, k1_rmod_4(A, B, D), k1_rmod_4(A, B, k9_subset_1(u1_struct_0(B), D, C)))) ) ) ) ) ) ) ) ).
fof(t14_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))))  => k1_rmod_4(A, B, k5_subset_1(u1_struct_0(B), D, C))=k5_algstr_0(B, k1_rmod_4(A, B, k4_subset_1(u1_struct_0(B), D, C)), k1_rmod_4(A, B, k9_subset_1(u1_struct_0(B), D, C)))) ) ) ) ) ) ) ) ).
fof(t15_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (! [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))))  => k1_rmod_4(A, B, k5_subset_1(u1_struct_0(B), D, C))=k3_rlvect_1(B, k1_rmod_4(A, B, k7_subset_1(u1_struct_0(B), D, C)), k1_rmod_4(A, B, k7_subset_1(u1_struct_0(B), C, D)))) ) ) ) ) ) ) ) ).
fof(d2_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m2_funct_2(C, u1_struct_0(B), u1_struct_0(A), k9_funct_2(u1_struct_0(B), u1_struct_0(A))) =>  (m1_rmod_4(C, A, B) <=>  (? [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))))  &  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  ( ~ (r2_tarski(E, D))  => k3_funct_2(u1_struct_0(B), u1_struct_0(A), C, E)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (! [D] :  (m1_rmod_4(D, A, B) =>  (r2_tarski(C, k2_rmod_4(A, B, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (C=E &  ~ (k3_funct_2(u1_struct_0(B), u1_struct_0(A), D, E)=k4_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_rmod_4(D, A, B) =>  (k3_funct_2(u1_struct_0(B), u1_struct_0(A), D, C)=k4_struct_0(A) <=>  ~ (r2_tarski(C, k2_rmod_4(A, B, D))) ) ) ) ) ) ) ) ) ) ).
fof(d4_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_4(C, A, B) =>  (C=k3_rmod_4(A, B) <=> k2_rmod_4(A, B, C)=k1_xboole_0) ) ) ) ) ) ) ).
fof(t18_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k3_funct_2(u1_struct_0(B), u1_struct_0(A), k3_rmod_4(A, B), C)=k4_struct_0(A)) ) ) ) ) ) ).
fof(d5_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_rmod_4(D, A, B) =>  (m2_rmod_4(D, A, B, C) <=> r1_tarski(k2_rmod_4(A, B, D), C)) ) ) ) ) ) ) ) ) ).
fof(t19_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (! [E] :  (m2_rmod_4(E, A, B, C) =>  (r1_tarski(C, D) => m2_rmod_4(E, A, B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t20_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) => m2_rmod_4(k3_rmod_4(A, B), A, B, C)) ) ) ) ) ) ).
fof(t21_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m2_rmod_4(C, A, B, k1_subset_1(u1_struct_0(B))) => r2_funct_2(u1_struct_0(B), u1_struct_0(A), C, k3_rmod_4(A, B))) ) ) ) ) ) ).
fof(t22_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_4(C, A, B) => m2_rmod_4(C, A, B, k2_rmod_4(A, B, C))) ) ) ) ) ) ).
fof(d6_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(B)) =>  (E=k4_rmod_4(A, B, C, D) <=>  (k3_finseq_1(E)=k3_finseq_1(C) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k9_xtuple_0(E)) => k1_funct_1(E, F)=k4_vectsp_2(A, B, k3_funct_2(u1_struct_0(B), u1_struct_0(A), D, k7_partfun1(u1_struct_0(B), C, F)), k7_partfun1(u1_struct_0(B), C, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(B)) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  =>  ( (r2_tarski(C, k9_xtuple_0(E)) & D=k1_funct_1(E, C))  => k1_funct_1(k4_rmod_4(A, B, E, F), C)=k4_vectsp_2(A, B, k3_funct_2(u1_struct_0(B), u1_struct_0(A), F, D), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t24_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  => k4_rmod_4(A, B, k6_finseq_1(u1_struct_0(B)), C)=k6_finseq_1(u1_struct_0(B))) ) ) ) ) ) ).
fof(t25_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  => k4_rmod_4(A, B, k12_finseq_1(u1_struct_0(B), C), D)=k12_finseq_1(u1_struct_0(B), k4_vectsp_2(A, B, k3_funct_2(u1_struct_0(B), u1_struct_0(A), D, C), C))) ) ) ) ) ) ) ) ).
fof(t26_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  => k4_rmod_4(A, B, k2_finseq_4(u1_struct_0(B), C, D), E)=k2_finseq_4(u1_struct_0(B), k4_vectsp_2(A, B, k3_funct_2(u1_struct_0(B), u1_struct_0(A), E, C), C), k4_vectsp_2(A, B, k3_funct_2(u1_struct_0(B), u1_struct_0(A), E, D), D))) ) ) ) ) ) ) ) ) ) ).
fof(t27_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  => k4_rmod_4(A, B, k3_finseq_4(u1_struct_0(B), C, D, E), F)=k3_finseq_4(u1_struct_0(B), k4_vectsp_2(A, B, k3_funct_2(u1_struct_0(B), u1_struct_0(A), F, C), C), k4_vectsp_2(A, B, k3_funct_2(u1_struct_0(B), u1_struct_0(A), F, D), D), k4_vectsp_2(A, B, k3_funct_2(u1_struct_0(B), u1_struct_0(A), F, E), E))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t28_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(B)) =>  (! [D] :  (m2_finseq_1(D, u1_struct_0(B)) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) )  => k4_rmod_4(A, B, k8_finseq_1(u1_struct_0(B), C, D), E)=k8_finseq_1(u1_struct_0(B), k4_rmod_4(A, B, C, E), k4_rmod_4(A, B, D, E))) ) ) ) ) ) ) ) ) ) ).
fof(d7_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_4(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (D=k5_rmod_4(A, B, C) <=>  (? [E] :  (m2_finseq_1(E, u1_struct_0(B)) &  (v2_funct_1(E) &  (k10_xtuple_0(E)=k2_rmod_4(A, B, C) & D=k4_rlvect_1(B, k4_rmod_4(A, B, E, C))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  ( ~ (k4_struct_0(A)=k1_group_1(A))  =>  ( ( ~ (C=k1_xboole_0)  & v1_rmod_2(C, A, B))  <=>  (! [D] :  (m2_rmod_4(D, A, B, C) => r2_tarski(k5_rmod_4(A, B, D), C)) ) ) ) ) ) ) ) ) ) ).
fof(t30_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  => k5_rmod_4(A, B, k3_rmod_4(A, B))=k4_struct_0(B)) ) ) ) ).
fof(t31_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m2_rmod_4(C, A, B, k1_subset_1(u1_struct_0(B))) => k5_rmod_4(A, B, C)=k4_struct_0(B)) ) ) ) ) ) ).
fof(t32_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m2_rmod_4(D, A, B, k6_domain_1(u1_struct_0(B), C)) => k5_rmod_4(A, B, D)=k4_vectsp_2(A, B, k3_funct_2(u1_struct_0(B), u1_struct_0(A), D, C), C)) ) ) ) ) ) ) ) ).
fof(t33_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  ( ~ (C=D)  =>  (! [E] :  (m2_rmod_4(E, A, B, k7_domain_1(u1_struct_0(B), C, D)) => k5_rmod_4(A, B, E)=k3_rlvect_1(B, k4_vectsp_2(A, B, k3_funct_2(u1_struct_0(B), u1_struct_0(A), E, C), C), k4_vectsp_2(A, B, k3_funct_2(u1_struct_0(B), u1_struct_0(A), E, D), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_4(C, A, B) =>  (k2_rmod_4(A, B, C)=k1_xboole_0 => k5_rmod_4(A, B, C)=k4_struct_0(B)) ) ) ) ) ) ) ).
fof(t35_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_rmod_4(D, A, B) =>  (k2_rmod_4(A, B, D)=k6_domain_1(u1_struct_0(B), C) => k5_rmod_4(A, B, D)=k4_vectsp_2(A, B, k3_funct_2(u1_struct_0(B), u1_struct_0(A), D, C), C)) ) ) ) ) ) ) ) ) ).
fof(t36_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_rmod_4(E, A, B) =>  (k2_rmod_4(A, B, E)=k7_domain_1(u1_struct_0(B), C, D) =>  (C=D | k5_rmod_4(A, B, E)=k3_rlvect_1(B, k4_vectsp_2(A, B, k3_funct_2(u1_struct_0(B), u1_struct_0(A), E, C), C), k4_vectsp_2(A, B, k3_funct_2(u1_struct_0(B), u1_struct_0(A), E, D), D))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_4(C, A, B) =>  (! [D] :  (m1_rmod_4(D, A, B) =>  (r1_rmod_4(A, B, C, D) <=>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => k3_funct_2(u1_struct_0(B), u1_struct_0(A), C, E)=k3_funct_2(u1_struct_0(B), u1_struct_0(A), D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_4(C, A, B) =>  (! [D] :  (m1_rmod_4(D, A, B) =>  (! [E] :  (m1_rmod_4(E, A, B) =>  (E=k6_rmod_4(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) => k3_funct_2(u1_struct_0(B), u1_struct_0(A), E, F)=k3_rlvect_1(A, k3_funct_2(u1_struct_0(B), u1_struct_0(A), C, F), k3_funct_2(u1_struct_0(B), u1_struct_0(A), D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_4(C, A, B) =>  (! [D] :  (m1_rmod_4(D, A, B) => r1_tarski(k2_rmod_4(A, B, k6_rmod_4(A, B, C, D)), k4_subset_1(u1_struct_0(B), k2_rmod_4(A, B, C), k2_rmod_4(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t38_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_rmod_4(D, A, B) =>  (! [E] :  (m1_rmod_4(E, A, B) =>  ( (m2_rmod_4(D, A, B, C) & m2_rmod_4(E, A, B, C))  => m2_rmod_4(k6_rmod_4(A, B, D, E), A, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_4(C, A, B) =>  (! [D] :  (m1_rmod_4(D, A, B) => r1_rmod_4(A, B, k6_rmod_4(A, B, C, D), k6_rmod_4(A, B, D, C))) ) ) ) ) ) ) ) ).
fof(t40_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_4(C, A, B) =>  (! [D] :  (m1_rmod_4(D, A, B) =>  (! [E] :  (m1_rmod_4(E, A, B) => r1_rmod_4(A, B, k6_rmod_4(A, B, C, k6_rmod_4(A, B, D, E)), k6_rmod_4(A, B, k6_rmod_4(A, B, C, D), E))) ) ) ) ) ) ) ) ) ) ).
fof(t41_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_4(C, A, B) =>  (r1_rmod_4(A, B, k6_rmod_4(A, B, C, k3_rmod_4(A, B)), C) & r1_rmod_4(A, B, k6_rmod_4(A, B, k3_rmod_4(A, B), C), C)) ) ) ) ) ) ) ).
fof(d10_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_rmod_4(D, A, B) =>  (! [E] :  (m1_rmod_4(E, A, B) =>  (E=k7_rmod_4(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) => k3_funct_2(u1_struct_0(B), u1_struct_0(A), E, F)=k6_algstr_0(A, k3_funct_2(u1_struct_0(B), u1_struct_0(A), D, F), C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t42_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_rmod_4(D, A, B) => r1_tarski(k2_rmod_4(A, B, k7_rmod_4(A, B, C, D)), k2_rmod_4(A, B, D))) ) ) ) ) ) ) ) ).
fof(t43_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_4(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( ~ (D=k4_struct_0(A))  => k2_rmod_4(A, B, k7_rmod_4(A, B, D, C))=k2_rmod_4(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(t44_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_4(C, A, B) => r1_rmod_4(A, B, k7_rmod_4(A, B, k4_struct_0(A), C), k3_rmod_4(A, B))) ) ) ) ) ) ).
fof(t45_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (! [E] :  (m1_rmod_4(E, A, B) =>  (m2_rmod_4(E, A, B, D) => m2_rmod_4(k7_rmod_4(A, B, C, E), A, B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t46_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_rmod_4(E, A, B) => r1_rmod_4(A, B, k7_rmod_4(A, B, k3_rlvect_1(A, C, D), E), k6_rmod_4(A, B, k7_rmod_4(A, B, C, E), k7_rmod_4(A, B, D, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t47_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_rmod_4(D, A, B) =>  (! [E] :  (m1_rmod_4(E, A, B) => r1_rmod_4(A, B, k7_rmod_4(A, B, C, k6_rmod_4(A, B, D, E)), k6_rmod_4(A, B, k7_rmod_4(A, B, C, D), k7_rmod_4(A, B, C, E)))) ) ) ) ) ) ) ) ) ) ).
fof(t48_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_rmod_4(E, A, B) => r1_rmod_4(A, B, k7_rmod_4(A, B, C, k7_rmod_4(A, B, D, E)), k7_rmod_4(A, B, k6_algstr_0(A, D, C), E))) ) ) ) ) ) ) ) ) ) ).
fof(t49_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_4(C, A, B) => r1_rmod_4(A, B, k7_rmod_4(A, B, k1_group_1(A), C), C)) ) ) ) ) ) ).
fof(d11_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_4(C, A, B) => k8_rmod_4(A, B, C)=k7_rmod_4(A, B, k4_algstr_0(A, k1_group_1(A)), C)) ) ) ) ) ) ).
fof(t50_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_rmod_4(D, A, B) => k3_funct_2(u1_struct_0(B), u1_struct_0(A), k8_rmod_4(A, B, D), C)=k4_algstr_0(A, k3_funct_2(u1_struct_0(B), u1_struct_0(A), D, C))) ) ) ) ) ) ) ) ).
fof(t51_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_4(C, A, B) =>  (! [D] :  (m1_rmod_4(D, A, B) =>  (r1_rmod_4(A, B, k6_rmod_4(A, B, C, D), k3_rmod_4(A, B)) => r1_rmod_4(A, B, D, k8_rmod_4(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(t52_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_4(C, A, B) => k2_rmod_4(A, B, k8_rmod_4(A, B, C))=k2_rmod_4(A, B, C)) ) ) ) ) ) ).
fof(t53_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_rmod_4(D, A, B) =>  (m2_rmod_4(D, A, B, C) => m2_rmod_4(k8_rmod_4(A, B, D), A, B, C)) ) ) ) ) ) ) ) ) ).
fof(d12_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_4(C, A, B) =>  (! [D] :  (m1_rmod_4(D, A, B) => k9_rmod_4(A, B, C, D)=k6_rmod_4(A, B, C, k8_rmod_4(A, B, D))) ) ) ) ) ) ) ) ).
fof(t54_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_rmod_4(D, A, B) =>  (! [E] :  (m1_rmod_4(E, A, B) => k3_funct_2(u1_struct_0(B), u1_struct_0(A), k9_rmod_4(A, B, D, E), C)=k5_algstr_0(A, k3_funct_2(u1_struct_0(B), u1_struct_0(A), D, C), k3_funct_2(u1_struct_0(B), u1_struct_0(A), E, C))) ) ) ) ) ) ) ) ) ) ).
fof(t55_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_4(C, A, B) =>  (! [D] :  (m1_rmod_4(D, A, B) => r1_tarski(k2_rmod_4(A, B, k9_rmod_4(A, B, C, D)), k4_subset_1(u1_struct_0(B), k2_rmod_4(A, B, C), k2_rmod_4(A, B, D)))) ) ) ) ) ) ) ) ).
fof(t56_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_rmod_4(D, A, B) =>  (! [E] :  (m1_rmod_4(E, A, B) =>  ( (m2_rmod_4(D, A, B, C) & m2_rmod_4(E, A, B, C))  => m2_rmod_4(k9_rmod_4(A, B, D, E), A, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_4(C, A, B) => r1_rmod_4(A, B, k9_rmod_4(A, B, C, C), k3_rmod_4(A, B))) ) ) ) ) ) ).
fof(t58_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_4(C, A, B) =>  (! [D] :  (m1_rmod_4(D, A, B) => k5_rmod_4(A, B, k6_rmod_4(A, B, C, D))=k3_rlvect_1(B, k5_rmod_4(A, B, C), k5_rmod_4(A, B, D))) ) ) ) ) ) ) ) ).
fof(t59_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_4(C, A, B) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k5_rmod_4(A, B, k7_rmod_4(A, B, D, C))=k4_vectsp_2(A, B, D, k5_rmod_4(A, B, C))) ) ) ) ) ) ) ) ).
fof(t60_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_4(C, A, B) => k5_rmod_4(A, B, k8_rmod_4(A, B, C))=k4_algstr_0(B, k5_rmod_4(A, B, C))) ) ) ) ) ) ).
fof(t61_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_4(C, A, B) =>  (! [D] :  (m1_rmod_4(D, A, B) => k5_rmod_4(A, B, k9_rmod_4(A, B, C, D))=k5_algstr_0(B, k5_rmod_4(A, B, C), k5_rmod_4(A, B, D))) ) ) ) ) ) ) ) ).
fof(d13_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (v1_rmod_4(C, A, B) <=>  (! [D] :  (m2_rmod_4(D, A, B, C) =>  (k5_rmod_4(A, B, D)=k4_struct_0(B) => k2_rmod_4(A, B, D)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ).
fof(t62_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  ( (r1_tarski(C, D) & v1_rmod_4(D, A, B))  => v1_rmod_4(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(t63_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  ~ ( ( ~ (k4_struct_0(A)=k1_group_1(A))  &  (v1_rmod_4(C, A, B) & r2_tarski(k4_struct_0(B), C)) ) ) ) ) ) ) ) ) ).
fof(t64_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  => v1_rmod_4(k1_subset_1(u1_struct_0(B)), A, B)) ) ) ) ).
fof(t65_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (v1_rmod_4(k7_domain_1(u1_struct_0(B), C, D), A, B) =>  (k4_struct_0(A)=k1_group_1(A) |  ( ~ (C=k4_struct_0(B))  &  ~ (D=k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t66_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  ( ~ (k4_struct_0(A)=k1_group_1(A))  =>  ( ~ (v1_rmod_4(k7_domain_1(u1_struct_0(B), C, k4_struct_0(B)), A, B))  &  ~ (v1_rmod_4(k7_domain_1(u1_struct_0(B), k4_struct_0(B), C), A, B)) ) ) ) ) ) ) ) ) ).
fof(t67_rmod_4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v1_vectsp_2(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_2(C, B) & l1_vectsp_2(C, B)) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(C))) =>  (r1_struct_0(k10_rmod_4(B, C, D), A) <=>  (? [E] :  (m2_rmod_4(E, B, C, D) & A=k5_rmod_4(B, C, E)) ) ) ) ) ) ) ) ) ) ).
fof(t68_rmod_4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v1_vectsp_2(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_2(C, B) & l1_vectsp_2(C, B)) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(C))) =>  (r2_tarski(A, D) => r1_struct_0(k10_rmod_4(B, C, D), A)) ) ) ) ) ) ) ) ).
fof(t69_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  => k10_rmod_4(A, B, k1_subset_1(u1_struct_0(B)))=k1_rmod_2(A, B)) ) ) ) ).
fof(t70_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  ~ ( (k10_rmod_4(A, B, C)=k1_rmod_2(A, B) &  ( ~ (C=k1_xboole_0)  &  ~ (C=k6_domain_1(u1_struct_0(B), k4_struct_0(B))) ) ) ) ) ) ) ) ) ) ).
fof(t71_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  ( (v2_vectsp_2(D, A) & m1_rmod_2(D, A, B))  =>  (C=u1_struct_0(D) =>  (k4_struct_0(A)=k1_group_1(A) | k10_rmod_4(A, B, C)=D) ) ) ) ) ) ) ) ) ) ).
fof(t72_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_vectsp_2(B, A) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (C=u1_struct_0(B) =>  (k4_struct_0(A)=k1_group_1(A) | k10_rmod_4(A, B, C)=B) ) ) ) ) ) ) ) ).
fof(t73_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (r1_tarski(C, D) => m1_rmod_2(k10_rmod_4(A, B, C), A, k10_rmod_4(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t74_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v2_vectsp_2(B, A) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  ( (k10_rmod_4(A, B, C)=B & r1_tarski(C, D))  => k10_rmod_4(A, B, D)=B) ) ) ) ) ) ) ) ) ).
fof(t75_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) => k10_rmod_4(A, B, k4_subset_1(u1_struct_0(B), C, D))=k1_rmod_3(A, B, k10_rmod_4(A, B, C), k10_rmod_4(A, B, D))) ) ) ) ) ) ) ) ).
fof(t76_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) => m1_rmod_2(k10_rmod_4(A, B, k9_subset_1(u1_struct_0(B), C, D)), A, k2_rmod_3(A, B, k10_rmod_4(A, B, C), k10_rmod_4(A, B, D)))) ) ) ) ) ) ) ) ).
fof(dt_k1_rmod_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  &  (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B)))) ) )  => m1_subset_1(k1_rmod_4(A, B, C), u1_struct_0(B))) ) ).
fof(dt_m1_rmod_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) ) )  =>  (! [C] :  (m1_rmod_4(C, A, B) => m2_funct_2(C, u1_struct_0(B), u1_struct_0(A), k9_funct_2(u1_struct_0(B), u1_struct_0(A)))) ) ) ) ).
fof(existence_m1_rmod_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) ) )  =>  (? [C] : m1_rmod_4(C, A, B)) ) ) ).
fof(dt_k2_rmod_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  & m1_rmod_4(C, A, B)) )  =>  (v1_finset_1(k2_rmod_4(A, B, C)) & m1_subset_1(k2_rmod_4(A, B, C), k1_zfmisc_1(u1_struct_0(B)))) ) ) ).
fof(dt_k3_rmod_4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) ) )  => m1_rmod_4(k3_rmod_4(A, B), A, B)) ) ).
fof(dt_m2_rmod_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (! [D] :  (m2_rmod_4(D, A, B, C) => m1_rmod_4(D, A, B)) ) ) ) ).
fof(existence_m2_rmod_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (? [D] : m2_rmod_4(D, A, B, C)) ) ) ).
fof(dt_k4_rmod_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  &  (m1_finseq_1(C, u1_struct_0(B)) &  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(B), u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) ) ) )  => m2_finseq_1(k4_rmod_4(A, B, C, D), u1_struct_0(B))) ) ).
fof(dt_k5_rmod_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  & m1_rmod_4(C, A, B)) )  => m1_subset_1(k5_rmod_4(A, B, C), u1_struct_0(B))) ) ).
fof(symmetry_r1_rmod_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  &  (m1_rmod_4(C, A, B) & m1_rmod_4(D, A, B)) ) )  =>  (r1_rmod_4(A, B, C, D) => r1_rmod_4(A, B, D, C)) ) ) ).
fof(reflexivity_r1_rmod_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  &  (m1_rmod_4(C, A, B) & m1_rmod_4(D, A, B)) ) )  => r1_rmod_4(A, B, C, C)) ) ).
fof(redefinition_r1_rmod_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  &  (m1_rmod_4(C, A, B) & m1_rmod_4(D, A, B)) ) )  =>  (r1_rmod_4(A, B, C, D) <=> C=D) ) ) ).
fof(dt_k6_rmod_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  &  (m1_rmod_4(C, A, B) & m1_rmod_4(D, A, B)) ) )  => m1_rmod_4(k6_rmod_4(A, B, C, D), A, B)) ) ).
fof(dt_k7_rmod_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  &  (m1_subset_1(C, u1_struct_0(A)) & m1_rmod_4(D, A, B)) ) )  => m1_rmod_4(k7_rmod_4(A, B, C, D), A, B)) ) ).
fof(dt_k8_rmod_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  & m1_rmod_4(C, A, B)) )  => m1_rmod_4(k8_rmod_4(A, B, C), A, B)) ) ).
fof(involutiveness_k8_rmod_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  & m1_rmod_4(C, A, B)) )  => k8_rmod_4(A, B, k8_rmod_4(A, B, C))=C) ) ).
fof(dt_k9_rmod_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  &  (m1_rmod_4(C, A, B) & m1_rmod_4(D, A, B)) ) )  => m1_rmod_4(k9_rmod_4(A, B, C, D), A, B)) ) ).
fof(dt_k10_rmod_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B)))) )  =>  (v2_vectsp_2(k10_rmod_4(A, B, C), A) & m1_rmod_2(k10_rmod_4(A, B, C), A, B)) ) ) ).
fof(d3_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_rmod_4(C, A, B) => k2_rmod_4(A, B, C)=a_3_0_rmod_4(A, B, C)) ) ) ) ) ) ).
fof(d14_rmod_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_vectsp_2(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_2(B, A) & l1_vectsp_2(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) =>  (! [D] :  ( (v2_vectsp_2(D, A) & m1_rmod_2(D, A, B))  =>  (D=k10_rmod_4(A, B, C) <=> u1_struct_0(D)=a_3_1_rmod_4(A, B, C)) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_rmod_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) & l6_algstr_0(B)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_2(C, B) & l1_vectsp_2(C, B)) ) ) ) ) )  & m1_rmod_4(D, B, C)) )  =>  (r2_hidden(A, a_3_0_rmod_4(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(C)) &  (A=E &  ~ (k3_funct_2(u1_struct_0(C), u1_struct_0(B), D, E)=k4_struct_0(B)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_rmod_4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v6_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) &  (v3_group_1(B) &  (v5_group_1(B) &  (v1_vectsp_2(B) & l6_algstr_0(B)) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v4_vectsp_2(C, B) & l1_vectsp_2(C, B)) ) ) ) ) )  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(C)))) )  =>  (r2_hidden(A, a_3_1_rmod_4(B, C, D)) <=>  (? [E] :  (m2_rmod_4(E, B, C, D) & A=k5_rmod_4(B, C, E)) ) ) ) ) ).
fof(rc1_robbins1, axiom,  (? [A] :  (l1_robbins1(A) & v1_robbins1(A)) ) ).
fof(rc2_robbins1, axiom,  (? [A] :  (l2_robbins1(A) & v2_robbins1(A)) ) ).
fof(rc3_robbins1, axiom,  (? [A] :  (l3_robbins1(A) & v3_robbins1(A)) ) ).
fof(rc4_robbins1, axiom,  (? [A] :  (l4_robbins1(A) & v4_robbins1(A)) ) ).
fof(fc1_robbins1, axiom,  (v13_struct_0(k1_robbins1, 1) & v2_robbins1(k1_robbins1)) ).
fof(fc2_robbins1, axiom,  (v13_struct_0(k2_robbins1, 1) & v4_robbins1(k2_robbins1)) ).
fof(rc5_robbins1, axiom,  (? [A] :  (l4_robbins1(A) &  (v13_struct_0(A, 1) & v4_robbins1(A)) ) ) ).
fof(rc6_robbins1, axiom,  (? [A] :  (l2_robbins1(A) &  (v13_struct_0(A, 1) & v2_robbins1(A)) ) ) ).
fof(fc3_robbins1, axiom,  (! [A] :  ( (v13_struct_0(A, 1) & l2_robbins1(A))  =>  (v13_struct_0(g1_robbins1(u1_struct_0(A), u1_robbins1(A)), 1) & v1_robbins1(g1_robbins1(u1_struct_0(A), u1_robbins1(A)))) ) ) ).
fof(rc7_robbins1, axiom,  (? [A] :  (l1_robbins1(A) &  (v13_struct_0(A, 1) & v1_robbins1(A)) ) ) ).
fof(fc4_robbins1, axiom,  (v4_lattices(k1_robbins1) &  (v5_lattices(k1_robbins1) &  (v2_robbins1(k1_robbins1) &  (v5_robbins1(k1_robbins1) &  (v6_robbins1(k1_robbins1) & v7_robbins1(k1_robbins1)) ) ) ) ) ).
fof(fc5_robbins1, axiom,  (v4_lattices(k2_robbins1) &  (v5_lattices(k2_robbins1) &  (v4_robbins1(k2_robbins1) &  (v5_robbins1(k2_robbins1) & v6_robbins1(k2_robbins1)) ) ) ) ).
fof(fc6_robbins1, axiom,  (v6_lattices(k2_robbins1) &  (v7_lattices(k2_robbins1) &  (v8_lattices(k2_robbins1) &  (v9_lattices(k2_robbins1) & v4_robbins1(k2_robbins1)) ) ) ) ).
fof(rc8_robbins1, axiom,  (? [A] :  (l2_robbins1(A) &  ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v2_robbins1(A) &  (v5_robbins1(A) &  (v6_robbins1(A) & v7_robbins1(A)) ) ) ) ) ) ) ) ).
fof(rc9_robbins1, axiom,  (? [A] :  (l4_robbins1(A) &  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v4_robbins1(A) &  (v5_robbins1(A) & v6_robbins1(A)) ) ) ) ) ) ).
fof(cc1_robbins1, axiom,  (! [A] :  (l2_robbins1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_robbins1(A) & v7_robbins1(A)) ) ) )  =>  ( ~ (v2_struct_0(A))  & v14_lattices(A)) ) ) ) ).
fof(cc2_robbins1, axiom,  (! [A] :  (l2_robbins1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) & v6_robbins1(A)) ) )  =>  ( ~ (v2_struct_0(A))  & v7_robbins1(A)) ) ) ) ).
fof(fc7_robbins1, axiom,  (v17_lattices(k2_robbins1) &  (v4_robbins1(k2_robbins1) & v8_robbins1(k2_robbins1)) ) ).
fof(rc10_robbins1, axiom,  (? [A] :  (l4_robbins1(A) &  ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v10_lattices(A) &  (v17_lattices(A) &  (v4_robbins1(A) & v8_robbins1(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc8_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_robbins1(A))  =>  ( ~ (v2_struct_0(k8_robbins1(A)))  & v4_robbins1(k8_robbins1(A))) ) ) ).
fof(fc9_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) & l2_robbins1(A)) )  =>  (v4_lattices(k8_robbins1(A)) & v4_robbins1(k8_robbins1(A))) ) ) ).
fof(fc10_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_lattices(A) & l2_robbins1(A)) )  =>  (v5_lattices(k8_robbins1(A)) & v4_robbins1(k8_robbins1(A))) ) ) ).
fof(fc11_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) & l2_robbins1(A)) ) )  =>  (v6_lattices(k8_robbins1(A)) & v4_robbins1(k8_robbins1(A))) ) ) ).
fof(fc12_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (v7_lattices(k8_robbins1(A)) &  (v8_lattices(k8_robbins1(A)) &  (v9_lattices(k8_robbins1(A)) & v4_robbins1(k8_robbins1(A))) ) ) ) ) ).
fof(fc13_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_robbins1(A) & l2_robbins1(A)) )  =>  (v4_robbins1(k8_robbins1(A)) & v6_robbins1(k8_robbins1(A))) ) ) ).
fof(fc14_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (v13_lattices(k8_robbins1(A)) & v4_robbins1(k8_robbins1(A))) ) ) ).
fof(fc15_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (v11_lattices(k8_robbins1(A)) &  (v15_lattices(k8_robbins1(A)) &  (v16_lattices(k8_robbins1(A)) & v4_robbins1(k8_robbins1(A))) ) ) ) ) ).
fof(fc16_robbins1, axiom,  (v2_robbins1(k1_robbins1) & v9_robbins1(k1_robbins1)) ).
fof(cc3_robbins1, axiom,  (! [A] :  (l2_robbins1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v5_robbins1(A) & v9_robbins1(A)) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v5_robbins1(A) & v6_robbins1(A)) ) ) ) ) ) ) ).
fof(cc4_robbins1, axiom,  (! [A] :  (l2_robbins1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) & v5_robbins1(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) & v6_robbins1(A)) ) ) ) ) ) ).
fof(fc17_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_robbins1(A))  =>  (v4_robbins1(k8_robbins1(A)) & v10_robbins1(k8_robbins1(A))) ) ) ).
fof(fc18_robbins1, axiom,  (v4_robbins1(k2_robbins1) & v10_robbins1(k2_robbins1)) ).
fof(rc11_robbins1, axiom,  (? [A] :  (l4_robbins1(A) &  ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v10_lattices(A) &  (v17_lattices(A) &  (v4_robbins1(A) &  (v5_robbins1(A) &  (v6_robbins1(A) & v10_robbins1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc5_robbins1, axiom,  (! [A] :  (l4_robbins1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) & v10_robbins1(A)) ) )  =>  ( ~ (v2_struct_0(A))  & v6_lattices(A)) ) ) ) ).
fof(cc6_robbins1, axiom,  (! [A] :  (l4_robbins1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & v8_robbins1(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v6_robbins1(A) & v8_robbins1(A)) ) ) ) ) ) ).
fof(cc7_robbins1, axiom,  (! [A] :  (l4_robbins1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v6_robbins1(A) & v10_robbins1(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & v10_robbins1(A)) ) ) ) ) ) ).
fof(cc8_robbins1, axiom,  (! [A] :  (l4_robbins1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v5_robbins1(A) & v10_robbins1(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & v17_lattices(A)) ) ) ) ) ).
fof(cc9_robbins1, axiom,  (! [A] :  (l4_robbins1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & v8_robbins1(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v5_robbins1(A) & v8_robbins1(A)) ) ) ) ) ) ).
fof(d1_robbins1, axiom, k1_robbins1=g2_robbins1(k1_tarski(k5_ordinal1), k9_funct_5, k8_funct_5)).
fof(d2_robbins1, axiom, k2_robbins1=g4_robbins1(k1_tarski(k5_ordinal1), k9_funct_5, k9_funct_5, k8_funct_5)).
fof(d3_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_robbins1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k3_robbins1(A, B)=k3_funct_2(u1_struct_0(A), u1_struct_0(A), u1_robbins1(A), B)) ) ) ) ).
fof(d4_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_robbins1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_robbins1(A, B, C)=k3_robbins1(A, k1_lattices(A, k3_robbins1(A, B), k3_robbins1(A, C)))) ) ) ) ) ) ).
fof(d5_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_robbins1(A))  =>  (v5_robbins1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, B, C)), k3_robbins1(A, k1_lattices(A, B, k3_robbins1(A, C)))))=B) ) ) ) ) ) ) ).
fof(d6_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_robbins1(A))  =>  (v6_robbins1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_lattices(A, k3_robbins1(A, k1_lattices(A, k3_robbins1(A, B), k3_robbins1(A, C))), k3_robbins1(A, k1_lattices(A, k3_robbins1(A, B), C)))=B) ) ) ) ) ) ) ).
fof(d7_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_lattices(A))  =>  (v7_robbins1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k1_lattices(A, B, B)=B) ) ) ) ) ).
fof(t1_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k5_robbins1(A, k4_robbins1(A, B, C), k4_robbins1(A, B, k3_robbins1(A, C)))=B) ) ) ) ) ) ).
fof(t2_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_robbins1(A, B, k3_robbins1(A, B))=k5_robbins1(A, k3_robbins1(A, B), k3_robbins1(A, k3_robbins1(A, B)))) ) ) ) ).
fof(t3_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k3_robbins1(A, k3_robbins1(A, B))=B) ) ) ) ).
fof(t4_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k5_robbins1(A, B, k3_robbins1(A, B))=k5_robbins1(A, C, k3_robbins1(A, C))) ) ) ) ) ) ).
fof(t5_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_robbins1(A) &  (v7_robbins1(A) & l2_robbins1(A)) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k5_robbins1(A, B, C)=B & k5_robbins1(A, C, k3_robbins1(A, C))=B) ) ) ) ) ) ) ).
fof(t6_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_robbins1(A) &  (v7_robbins1(A) & l2_robbins1(A)) ) ) ) )  => v14_lattices(A)) ) ).
fof(d8_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_robbins1(A) &  (v7_robbins1(A) & l2_robbins1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (B=k6_lattices(A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & B=k5_robbins1(A, C, k3_robbins1(A, C))) ) ) ) ) ) ) ).
fof(t7_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_robbins1(A) &  (v7_robbins1(A) & l2_robbins1(A)) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k4_robbins1(A, B, C)=B & k3_robbins1(A, k5_robbins1(A, C, k3_robbins1(A, C)))=B) ) ) ) ) ) ) ).
fof(d9_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_robbins1(A) &  (v7_robbins1(A) & l2_robbins1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (B=k7_robbins1(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k6_robbins1(A, B, C)=B) ) ) ) ) ) ) ).
fof(t8_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_robbins1(A) &  (v7_robbins1(A) & l2_robbins1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k7_robbins1(A)=k3_robbins1(A, k5_robbins1(A, B, k3_robbins1(A, B)))) ) ) ) ).
fof(t9_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_robbins1(A) &  (v7_robbins1(A) & l2_robbins1(A)) ) ) ) )  =>  (k3_robbins1(A, k6_lattices(A))=k7_robbins1(A) & k6_lattices(A)=k3_robbins1(A, k7_robbins1(A))) ) ) ).
fof(t10_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k3_robbins1(A, B)=k3_robbins1(A, C) => B=C) ) ) ) ) ) ) ).
fof(t11_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k5_robbins1(A, B, k3_robbins1(A, k5_robbins1(A, C, k3_robbins1(A, C))))=B) ) ) ) ) ) ).
fof(t12_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_robbins1(A, B, B)=B) ) ) ) ).
fof(t13_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_robbins1(A, B, k7_robbins1(A))=B) ) ) ) ).
fof(t14_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_robbins1(A, B, k6_lattices(A))=B) ) ) ) ).
fof(t15_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_robbins1(A, B, k3_robbins1(A, B))=k7_robbins1(A)) ) ) ) ).
fof(t16_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k6_robbins1(A, B, k6_robbins1(A, C, D))=k6_robbins1(A, k6_robbins1(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(t17_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k5_robbins1(A, B, C)=k3_robbins1(A, k6_robbins1(A, k3_robbins1(A, B), k3_robbins1(A, C)))) ) ) ) ) ) ).
fof(t18_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_robbins1(A, B, B)=B) ) ) ) ).
fof(t19_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_robbins1(A, B, k6_lattices(A))=k6_lattices(A)) ) ) ) ).
fof(t20_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k5_robbins1(A, B, k6_robbins1(A, B, C))=B) ) ) ) ) ) ).
fof(t21_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k6_robbins1(A, B, k5_robbins1(A, B, C))=B) ) ) ) ) ) ).
fof(t22_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (k5_robbins1(A, k3_robbins1(A, B), C)=k6_lattices(A) & k5_robbins1(A, k3_robbins1(A, C), B)=k6_lattices(A))  => B=C) ) ) ) ) ) ) ).
fof(t23_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (k5_robbins1(A, B, C)=k6_lattices(A) & k6_robbins1(A, B, C)=k7_robbins1(A))  => k3_robbins1(A, B)=C) ) ) ) ) ) ) ).
fof(t24_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k5_robbins1(A, k5_robbins1(A, k5_robbins1(A, k5_robbins1(A, k5_robbins1(A, k5_robbins1(A, k5_robbins1(A, k6_robbins1(A, k6_robbins1(A, B, C), D), k6_robbins1(A, k6_robbins1(A, B, C), k3_robbins1(A, D))), k6_robbins1(A, k6_robbins1(A, B, k3_robbins1(A, C)), D)), k6_robbins1(A, k6_robbins1(A, B, k3_robbins1(A, C)), k3_robbins1(A, D))), k6_robbins1(A, k6_robbins1(A, k3_robbins1(A, B), C), D)), k6_robbins1(A, k6_robbins1(A, k3_robbins1(A, B), C), k3_robbins1(A, D))), k6_robbins1(A, k6_robbins1(A, k3_robbins1(A, B), k3_robbins1(A, C)), D)), k6_robbins1(A, k6_robbins1(A, k3_robbins1(A, B), k3_robbins1(A, C)), k3_robbins1(A, D)))=k6_lattices(A)) ) ) ) ) ) ) ) ).
fof(t25_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k6_robbins1(A, k6_robbins1(A, B, D), k6_robbins1(A, C, k3_robbins1(A, D)))=k7_robbins1(A) &  (k6_robbins1(A, k6_robbins1(A, k6_robbins1(A, B, C), D), k6_robbins1(A, k6_robbins1(A, k3_robbins1(A, B), C), D))=k7_robbins1(A) &  (k6_robbins1(A, k6_robbins1(A, k6_robbins1(A, B, k3_robbins1(A, C)), D), k6_robbins1(A, k6_robbins1(A, k3_robbins1(A, B), C), D))=k7_robbins1(A) &  (k6_robbins1(A, k6_robbins1(A, k6_robbins1(A, B, C), D), k6_robbins1(A, k6_robbins1(A, k3_robbins1(A, B), k3_robbins1(A, C)), D))=k7_robbins1(A) & k6_robbins1(A, k6_robbins1(A, k6_robbins1(A, B, C), k3_robbins1(A, D)), k6_robbins1(A, k6_robbins1(A, k3_robbins1(A, B), k3_robbins1(A, C)), k3_robbins1(A, D)))=k7_robbins1(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t26_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k5_robbins1(A, k6_robbins1(A, B, C), k6_robbins1(A, B, D))=k5_robbins1(A, k5_robbins1(A, k6_robbins1(A, k6_robbins1(A, B, C), D), k6_robbins1(A, k6_robbins1(A, B, C), k3_robbins1(A, D))), k6_robbins1(A, k6_robbins1(A, B, k3_robbins1(A, C)), D))) ) ) ) ) ) ) ) ).
fof(t27_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_robbins1(A, k6_robbins1(A, B, k5_robbins1(A, C, D)))=k5_robbins1(A, k5_robbins1(A, k5_robbins1(A, k5_robbins1(A, k6_robbins1(A, k6_robbins1(A, B, k3_robbins1(A, C)), k3_robbins1(A, D)), k6_robbins1(A, k6_robbins1(A, k3_robbins1(A, B), C), D)), k6_robbins1(A, k6_robbins1(A, k3_robbins1(A, B), C), k3_robbins1(A, D))), k6_robbins1(A, k6_robbins1(A, k3_robbins1(A, B), k3_robbins1(A, C)), D)), k6_robbins1(A, k6_robbins1(A, k3_robbins1(A, B), k3_robbins1(A, C)), k3_robbins1(A, D)))) ) ) ) ) ) ) ) ).
fof(t28_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k5_robbins1(A, k5_robbins1(A, k6_robbins1(A, B, C), k6_robbins1(A, B, D)), k3_robbins1(A, k6_robbins1(A, B, k5_robbins1(A, C, D))))=k6_lattices(A)) ) ) ) ) ) ) ) ).
fof(t29_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k6_robbins1(A, k5_robbins1(A, k6_robbins1(A, B, C), k6_robbins1(A, B, D)), k3_robbins1(A, k6_robbins1(A, B, k5_robbins1(A, C, D))))=k7_robbins1(A)) ) ) ) ) ) ) ) ).
fof(t30_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k6_robbins1(A, B, k5_robbins1(A, C, D))=k5_robbins1(A, k6_robbins1(A, B, C), k6_robbins1(A, B, D))) ) ) ) ) ) ) ) ).
fof(t31_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k5_robbins1(A, B, k6_robbins1(A, C, D))=k6_robbins1(A, k5_robbins1(A, B, C), k5_robbins1(A, B, D))) ) ) ) ) ) ) ) ).
fof(d10_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_robbins1(A))  =>  (v8_robbins1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r2_lattices(A, k3_robbins1(A, B), B)) ) ) ) ) ).
fof(t32_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) &  (v8_robbins1(A) & l4_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k3_robbins1(A, k3_robbins1(A, B))=B) ) ) ) ).
fof(t33_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) &  (v15_lattices(A) &  (v8_robbins1(A) & l4_robbins1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_lattices(A, B, C)=k3_robbins1(A, k3_lattices(A, k3_robbins1(A, B), k3_robbins1(A, C)))) ) ) ) ) ) ).
fof(d11_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_robbins1(A))  =>  (! [B] :  ( (v4_robbins1(B) & l4_robbins1(B))  =>  (B=k8_robbins1(A) <=>  (u1_struct_0(B)=u1_struct_0(A) &  (u2_lattices(B)=u2_lattices(A) &  (u1_robbins1(B)=u1_robbins1(A) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_binop_1(u1_lattices(B), C, D)=k4_robbins1(A, C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_robbins1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k8_robbins1(A))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k8_robbins1(A))) =>  ( (B=D & C=E)  =>  (k4_robbins1(A, B, C)=k2_lattices(k8_robbins1(A), D, E) &  (k1_lattices(A, B, C)=k1_lattices(k8_robbins1(A), D, E) & k3_robbins1(A, B)=k3_robbins1(k8_robbins1(A), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_robbins1(A) & l2_robbins1(A)) ) ) )  => k7_robbins1(A)=k5_lattices(k8_robbins1(A))) ) ).
fof(d12_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) & l2_robbins1(A)) )  =>  (v6_robbins1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k5_robbins1(A, k3_robbins1(A, k5_robbins1(A, k3_robbins1(A, B), k3_robbins1(A, C))), k3_robbins1(A, k5_robbins1(A, B, k3_robbins1(A, C))))=C) ) ) ) ) ) ) ).
fof(d13_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_robbins1(A))  =>  (v9_robbins1(A) <=>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) & k1_lattices(A, B, B)=B) ) ) ) ) ).
fof(d14_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_robbins1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k9_robbins1(A, B, C)=k3_robbins1(A, k1_lattices(A, k3_robbins1(A, B), C))) ) ) ) ) ) ).
fof(d15_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_robbins1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k10_robbins1(A, B, C)=k9_robbins1(A, k1_lattices(A, B, C), k9_robbins1(A, B, C))) ) ) ) ) ) ).
fof(d16_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_robbins1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k11_robbins1(A, B)=k3_robbins1(A, k1_lattices(A, k3_robbins1(A, B), B))) ) ) ) ).
fof(d17_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_robbins1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k12_robbins1(A, B)=k1_lattices(A, B, B)) ) ) ) ).
fof(d18_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_robbins1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k13_robbins1(A, B)=k1_lattices(A, k11_robbins1(A, B), B)) ) ) ) ).
fof(d19_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_robbins1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k14_robbins1(A, B)=k1_lattices(A, k11_robbins1(A, B), k12_robbins1(A, B))) ) ) ) ).
fof(d20_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_robbins1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k15_robbins1(A, B)=k1_lattices(A, k11_robbins1(A, B), k1_lattices(A, k12_robbins1(A, B), B))) ) ) ) ).
fof(d21_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_robbins1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k16_robbins1(A, B)=k1_lattices(A, k11_robbins1(A, B), k1_lattices(A, k12_robbins1(A, B), k12_robbins1(A, B)))) ) ) ) ).
fof(t36_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v5_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k9_robbins1(A, k5_robbins1(A, B, C), k9_robbins1(A, B, C))=C) ) ) ) ) ) ).
fof(t37_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v5_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k10_robbins1(A, B, C)=C) ) ) ) ) ) ).
fof(t38_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v5_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k9_robbins1(A, k5_robbins1(A, k3_robbins1(A, B), C), D)=k3_robbins1(A, k5_robbins1(A, k9_robbins1(A, B, C), D))) ) ) ) ) ) ) ) ).
fof(t39_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v5_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k9_robbins1(A, B, B)=k11_robbins1(A, B)) ) ) ) ).
fof(t40_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v5_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k9_robbins1(A, k12_robbins1(A, B), k11_robbins1(A, B))=B) ) ) ) ).
fof(t41_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v5_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k9_robbins1(A, k14_robbins1(A, B), B)=k11_robbins1(A, B)) ) ) ) ).
fof(t42_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v5_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_robbins1(A, k16_robbins1(A, B), k11_robbins1(A, B))=k5_robbins1(A, k15_robbins1(A, B), k13_robbins1(A, B))) ) ) ) ).
fof(t43_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v5_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_robbins1(A, k15_robbins1(A, B), k11_robbins1(A, B))=k5_robbins1(A, k14_robbins1(A, B), k13_robbins1(A, B))) ) ) ) ).
fof(t44_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v5_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k5_robbins1(A, k15_robbins1(A, B), B)=k16_robbins1(A, B)) ) ) ) ).
fof(t45_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v5_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k9_robbins1(A, k15_robbins1(A, B), k11_robbins1(A, B))=B) ) ) ) ).
fof(t46_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v5_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (k3_robbins1(A, B)=k3_robbins1(A, C) => k9_robbins1(A, B, D)=k9_robbins1(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(t47_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v5_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k9_robbins1(A, B, k3_robbins1(A, C))=k9_robbins1(A, C, k3_robbins1(A, B))) ) ) ) ) ) ).
fof(t48_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v5_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k9_robbins1(A, k15_robbins1(A, B), B)=k11_robbins1(A, B)) ) ) ) ).
fof(t49_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v5_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k9_robbins1(A, k5_robbins1(A, k13_robbins1(A, B), k15_robbins1(A, B)), B)=k11_robbins1(A, B)) ) ) ) ).
fof(t50_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v5_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k9_robbins1(A, k5_robbins1(A, k13_robbins1(A, B), k14_robbins1(A, B)), B)=k11_robbins1(A, B)) ) ) ) ).
fof(t51_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v5_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k9_robbins1(A, k5_robbins1(A, k13_robbins1(A, B), k15_robbins1(A, B)), k11_robbins1(A, B))=B) ) ) ) ).
fof(d22_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v5_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k17_robbins1(A, B)=k5_robbins1(A, k5_robbins1(A, k3_robbins1(A, k5_robbins1(A, k13_robbins1(A, B), k15_robbins1(A, B))), B), k3_robbins1(A, k15_robbins1(A, B)))) ) ) ) ).
fof(t52_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v5_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k9_robbins1(A, k17_robbins1(A, B), B)=k3_robbins1(A, k15_robbins1(A, B))) ) ) ) ).
fof(t53_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v5_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k9_robbins1(A, k17_robbins1(A, B), B)=k3_robbins1(A, k5_robbins1(A, k13_robbins1(A, B), k15_robbins1(A, B)))) ) ) ) ).
fof(t54_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v5_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & k3_robbins1(A, k5_robbins1(A, B, C))=k3_robbins1(A, C)) ) ) ) ) ) ).
fof(t55_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v5_robbins1(A) & l2_robbins1(A)) ) ) )  =>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k3_robbins1(A, k3_robbins1(A, B))=B) )  => v6_robbins1(A)) ) ) ).
fof(t56_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v5_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (v9_robbins1(A) => v6_robbins1(A)) ) ) ).
fof(t57_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v5_robbins1(A) & l2_robbins1(A)) ) ) )  =>  ( (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & k5_robbins1(A, B, C)=B) ) ) )  => v6_robbins1(A)) ) ) ).
fof(t58_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v5_robbins1(A) & l2_robbins1(A)) ) ) )  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & k5_robbins1(A, B, C)=C) ) ) ) ) ) ).
fof(d23_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_robbins1(A))  =>  (v10_robbins1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k2_lattices(A, B, C)=k3_robbins1(A, k1_lattices(A, k3_robbins1(A, B), k3_robbins1(A, C)))) ) ) ) ) ) ) ).
fof(t59_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v6_lattices(A) &  (v8_robbins1(A) & l4_robbins1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k5_robbins1(A, B, k3_robbins1(A, B))=k6_lattices(A) & k4_lattices(A, B, k3_robbins1(A, B))=k5_lattices(A)) ) ) ) ) ).
fof(t60_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v11_lattices(A) &  (v15_lattices(A) &  (v8_robbins1(A) & l4_robbins1(A)) ) ) ) )  => k3_robbins1(A, k6_lattices(A))=k5_lattices(A)) ) ).
fof(t61_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v6_robbins1(A) &  (v10_robbins1(A) & l4_robbins1(A)) ) ) )  => k7_robbins1(A)=k5_lattices(A)) ) ).
fof(abstractness_v1_robbins1, axiom,  (! [A] :  (l1_robbins1(A) =>  (v1_robbins1(A) => A=g1_robbins1(u1_struct_0(A), u1_robbins1(A))) ) ) ).
fof(dt_l1_robbins1, axiom,  (! [A] :  (l1_robbins1(A) => l1_struct_0(A)) ) ).
fof(existence_l1_robbins1, axiom,  (? [A] : l1_robbins1(A)) ).
fof(dt_g1_robbins1, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (v1_robbins1(g1_robbins1(A, B)) & l1_robbins1(g1_robbins1(A, B))) ) ) ).
fof(free_g1_robbins1, axiom,  (! [A, B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (! [C, D] :  (g1_robbins1(A, B)=g1_robbins1(C, D) =>  (A=C & B=D) ) ) ) ) ).
fof(dt_u1_robbins1, axiom,  (! [A] :  (l1_robbins1(A) =>  (v1_funct_1(u1_robbins1(A)) &  (v1_funct_2(u1_robbins1(A), u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(u1_robbins1(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ).
fof(abstractness_v2_robbins1, axiom,  (! [A] :  (l2_robbins1(A) =>  (v2_robbins1(A) => A=g2_robbins1(u1_struct_0(A), u2_lattices(A), u1_robbins1(A))) ) ) ).
fof(dt_l2_robbins1, axiom,  (! [A] :  (l2_robbins1(A) =>  (l2_lattices(A) & l1_robbins1(A)) ) ) ).
fof(existence_l2_robbins1, axiom,  (? [A] : l2_robbins1(A)) ).
fof(dt_g2_robbins1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (v2_robbins1(g2_robbins1(A, B, C)) & l2_robbins1(g2_robbins1(A, B, C))) ) ) ).
fof(free_g2_robbins1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [D, E, F] :  (g2_robbins1(A, B, C)=g2_robbins1(D, E, F) =>  (A=D &  (B=E & C=F) ) ) ) ) ) ).
fof(abstractness_v3_robbins1, axiom,  (! [A] :  (l3_robbins1(A) =>  (v3_robbins1(A) => A=g3_robbins1(u1_struct_0(A), u1_lattices(A), u1_robbins1(A))) ) ) ).
fof(dt_l3_robbins1, axiom,  (! [A] :  (l3_robbins1(A) =>  (l1_lattices(A) & l1_robbins1(A)) ) ) ).
fof(existence_l3_robbins1, axiom,  (? [A] : l3_robbins1(A)) ).
fof(dt_g3_robbins1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (v3_robbins1(g3_robbins1(A, B, C)) & l3_robbins1(g3_robbins1(A, B, C))) ) ) ).
fof(free_g3_robbins1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (! [D, E, F] :  (g3_robbins1(A, B, C)=g3_robbins1(D, E, F) =>  (A=D &  (B=E & C=F) ) ) ) ) ) ).
fof(abstractness_v4_robbins1, axiom,  (! [A] :  (l4_robbins1(A) =>  (v4_robbins1(A) => A=g4_robbins1(u1_struct_0(A), u2_lattices(A), u1_lattices(A), u1_robbins1(A))) ) ) ).
fof(dt_l4_robbins1, axiom,  (! [A] :  (l4_robbins1(A) =>  (l2_robbins1(A) & l3_lattices(A)) ) ) ).
fof(existence_l4_robbins1, axiom,  (? [A] : l4_robbins1(A)) ).
fof(dt_g4_robbins1, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, A, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  =>  (v4_robbins1(g4_robbins1(A, B, C, D)) & l4_robbins1(g4_robbins1(A, B, C, D))) ) ) ).
fof(free_g4_robbins1, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, A, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  =>  (! [E, F, G, H] :  (g4_robbins1(A, B, C, D)=g4_robbins1(E, F, G, H) =>  (A=E &  (B=F &  (C=G & D=H) ) ) ) ) ) ) ).
fof(dt_k1_robbins1, axiom,  (v2_robbins1(k1_robbins1) & l2_robbins1(k1_robbins1)) ).
fof(dt_k2_robbins1, axiom,  (v4_robbins1(k2_robbins1) & l4_robbins1(k2_robbins1)) ).
fof(dt_k3_robbins1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_robbins1(A))  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k3_robbins1(A, B), u1_struct_0(A))) ) ).
fof(dt_k4_robbins1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_robbins1(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k4_robbins1(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k5_robbins1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) & l2_robbins1(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k5_robbins1(A, B, C), u1_struct_0(A))) ) ).
fof(commutativity_k5_robbins1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) & l2_robbins1(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k5_robbins1(A, B, C)=k5_robbins1(A, C, B)) ) ).
fof(redefinition_k5_robbins1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) & l2_robbins1(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k5_robbins1(A, B, C)=k1_lattices(A, B, C)) ) ).
fof(dt_k6_robbins1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) & l2_robbins1(A)) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k6_robbins1(A, B, C), u1_struct_0(A))) ) ).
fof(commutativity_k6_robbins1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) & l2_robbins1(A)) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k6_robbins1(A, B, C)=k6_robbins1(A, C, B)) ) ).
fof(redefinition_k6_robbins1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) & l2_robbins1(A)) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k6_robbins1(A, B, C)=k4_robbins1(A, B, C)) ) ).
fof(dt_k7_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_robbins1(A) &  (v7_robbins1(A) & l2_robbins1(A)) ) ) ) )  => m1_subset_1(k7_robbins1(A), u1_struct_0(A))) ) ).
fof(dt_k8_robbins1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_robbins1(A))  =>  (v4_robbins1(k8_robbins1(A)) & l4_robbins1(k8_robbins1(A))) ) ) ).
fof(dt_k9_robbins1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_robbins1(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k9_robbins1(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k10_robbins1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l2_robbins1(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k10_robbins1(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k11_robbins1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_robbins1(A))  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k11_robbins1(A, B), u1_struct_0(A))) ) ).
fof(dt_k12_robbins1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_robbins1(A))  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k12_robbins1(A, B), u1_struct_0(A))) ) ).
fof(dt_k13_robbins1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_robbins1(A))  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k13_robbins1(A, B), u1_struct_0(A))) ) ).
fof(dt_k14_robbins1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_robbins1(A))  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k14_robbins1(A, B), u1_struct_0(A))) ) ).
fof(dt_k15_robbins1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_robbins1(A))  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k15_robbins1(A, B), u1_struct_0(A))) ) ).
fof(dt_k16_robbins1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_robbins1(A))  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k16_robbins1(A, B), u1_struct_0(A))) ) ).
fof(dt_k17_robbins1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v5_robbins1(A) & l2_robbins1(A)) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k17_robbins1(A, B), u1_struct_0(A))) ) ).
fof(fc1_robbins2, axiom,  (v2_robbins1(k1_robbins1) & v1_robbins2(k1_robbins1)) ).
fof(fc2_robbins2, axiom,  (v4_robbins1(k2_robbins1) & v1_robbins2(k2_robbins1)) ).
fof(rc1_robbins2, axiom,  (? [A] :  (l2_robbins1(A) &  ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) & v1_robbins2(A)) ) ) ) ) ).
fof(cc1_robbins2, axiom,  (! [A] :  (l2_robbins1(A) =>  ( ( ~ (v2_struct_0(A))  & v1_robbins2(A))  =>  ( ~ (v2_struct_0(A))  & v4_lattices(A)) ) ) ) ).
fof(cc2_robbins2, axiom,  (! [A] :  (l2_robbins1(A) =>  ( ( ~ (v2_struct_0(A))  & v1_robbins2(A))  =>  ( ~ (v2_struct_0(A))  & v5_lattices(A)) ) ) ) ).
fof(cc3_robbins2, axiom,  (! [A] :  (l2_robbins1(A) =>  ( ( ~ (v2_struct_0(A))  & v1_robbins2(A))  =>  ( ~ (v2_struct_0(A))  & v5_robbins1(A)) ) ) ) ).
fof(cc4_robbins2, axiom,  (! [A] :  (l2_robbins1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) & v5_robbins1(A)) ) )  =>  ( ~ (v2_struct_0(A))  & v1_robbins2(A)) ) ) ) ).
fof(rc2_robbins2, axiom,  (? [A] :  (l4_robbins1(A) &  ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v10_lattices(A) &  (v10_robbins1(A) & v1_robbins2(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(cc5_robbins2, axiom,  (! [A] :  (l4_robbins1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v10_robbins1(A) & v1_robbins2(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & v17_lattices(A)) ) ) ) ) ).
fof(cc6_robbins2, axiom,  (! [A] :  (l4_robbins1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & v8_robbins1(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v8_robbins1(A) & v1_robbins2(A)) ) ) ) ) ) ).
fof(cc7_robbins2, axiom,  (! [A] :  (l2_robbins1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_robbins2(A) & v3_robbins2(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) & v6_robbins1(A)) ) ) ) ) ) ).
fof(cc8_robbins2, axiom,  (! [A] :  (l2_robbins1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) & v6_robbins1(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  (v2_robbins2(A) & v3_robbins2(A)) ) ) ) ) ).
fof(rc3_robbins2, axiom,  (? [A] :  (l4_robbins1(A) &  ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v10_lattices(A) &  (v10_robbins1(A) &  (v1_robbins2(A) &  (v2_robbins2(A) & v3_robbins2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc9_robbins2, axiom,  (! [A] :  (l4_robbins1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v10_robbins1(A) &  (v2_robbins2(A) & v3_robbins2(A)) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & v17_lattices(A)) ) ) ) ) ).
fof(cc10_robbins2, axiom,  (! [A] :  (l4_robbins1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & v8_robbins1(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v8_robbins1(A) &  (v2_robbins2(A) & v3_robbins2(A)) ) ) ) ) ) ) ).
fof(d1_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_robbins1(A))  =>  (v1_robbins2(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, B, C)), D)), k3_robbins1(A, k1_lattices(A, B, k3_robbins1(A, k1_lattices(A, k3_robbins1(A, D), k3_robbins1(A, k1_lattices(A, D, E))))))))=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) => k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, B, C)), k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, D, E)), B)), k3_robbins1(A, k1_lattices(A, k3_robbins1(A, C), k3_robbins1(A, k1_lattices(A, C, F))))))))=C) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, B, C)), k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, D, B)), k3_robbins1(A, k1_lattices(A, k3_robbins1(A, C), k3_robbins1(A, k1_lattices(A, C, E))))))))=C) ) ) ) ) ) ) ) ) ) ).
fof(t3_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, B, k3_robbins1(A, B))), B))=k3_robbins1(A, B)) ) ) ) ).
fof(t4_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, B, C)), k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, D, B)), k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, C, k3_robbins1(A, C))), C)), k3_robbins1(A, k1_lattices(A, C, E))))))))=C) ) ) ) ) ) ) ) ) ) ).
fof(t5_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, B, C)), k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, D, B)), C))))=C) ) ) ) ) ) ) ) ).
fof(t6_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, B, C)), k3_robbins1(A, k1_lattices(A, k3_robbins1(A, B), C))))=C) ) ) ) ) ) ).
fof(t7_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, B, C)), B)), k3_robbins1(A, k1_lattices(A, B, C))))=B) ) ) ) ) ) ).
fof(t8_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_robbins1(A, k1_lattices(A, B, k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, B, C)), B))))=k3_robbins1(A, k1_lattices(A, B, C))) ) ) ) ) ) ).
fof(t9_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, B, C)), D)), k3_robbins1(A, k1_lattices(A, B, D))))=D) ) ) ) ) ) ) ) ).
fof(t10_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_robbins1(A, k1_lattices(A, B, k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, C, D)), k3_robbins1(A, k1_lattices(A, C, B))))))=k3_robbins1(A, k1_lattices(A, C, B))) ) ) ) ) ) ) ) ).
fof(t11_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, B, C)), D)), k3_robbins1(A, k1_lattices(A, k3_robbins1(A, B), C)))), C))=k3_robbins1(A, k1_lattices(A, k3_robbins1(A, B), C))) ) ) ) ) ) ) ) ).
fof(t12_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_robbins1(A, k1_lattices(A, B, k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, C, D)), k3_robbins1(A, k1_lattices(A, D, B))))))=k3_robbins1(A, k1_lattices(A, D, B))) ) ) ) ) ) ) ) ).
fof(t13_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) => k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, B, C)), k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, D, B)), k3_robbins1(A, k1_lattices(A, k3_robbins1(A, C), k3_robbins1(A, k1_lattices(A, E, C))))))))=C) ) ) ) ) ) ) ) ) ) ).
fof(t14_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_robbins1(A, k1_lattices(A, B, C))=k3_robbins1(A, k1_lattices(A, C, B))) ) ) ) ) ) ).
fof(t15_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, B, C)), k3_robbins1(A, k1_lattices(A, C, D)))), D))=k3_robbins1(A, k1_lattices(A, C, D))) ) ) ) ) ) ) ) ).
fof(t16_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, B, k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, B, C)), D)))), D))=k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, B, C)), D))) ) ) ) ) ) ) ) ).
fof(t17_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, B, C)), B)), C))=k3_robbins1(A, k1_lattices(A, C, C))) ) ) ) ) ) ).
fof(t18_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_robbins1(A, k1_lattices(A, k3_robbins1(A, B), k3_robbins1(A, k1_lattices(A, C, B))))=B) ) ) ) ) ) ).
fof(t19_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, B, C)), k3_robbins1(A, C)))=C) ) ) ) ) ) ).
fof(t20_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_robbins1(A, k1_lattices(A, B, k3_robbins1(A, k1_lattices(A, C, k3_robbins1(A, B)))))=k3_robbins1(A, B)) ) ) ) ) ) ).
fof(t21_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k3_robbins1(A, k1_lattices(A, B, B))=k3_robbins1(A, B)) ) ) ) ).
fof(t22_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, B, C)), B)), C))=k3_robbins1(A, C)) ) ) ) ) ) ).
fof(t23_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k3_robbins1(A, k3_robbins1(A, B))=B) ) ) ) ).
fof(t24_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_lattices(A, k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, B, C)), B)), C)=k3_robbins1(A, k3_robbins1(A, C))) ) ) ) ) ) ).
fof(t25_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_robbins1(A, k3_robbins1(A, k1_lattices(A, B, C)))=k1_lattices(A, C, B)) ) ) ) ) ) ).
fof(t26_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_lattices(A, B, k3_robbins1(A, k1_lattices(A, k3_robbins1(A, k1_lattices(A, C, D)), k3_robbins1(A, k1_lattices(A, C, B)))))=k3_robbins1(A, k3_robbins1(A, k1_lattices(A, C, B)))) ) ) ) ) ) ) ) ).
fof(t27_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_lattices(A, B, C)=k1_lattices(A, C, B)) ) ) ) ) ) ).
fof(t28_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k5_robbins1(A, k3_robbins1(A, k5_robbins1(A, k3_robbins1(A, k5_robbins1(A, B, C)), B)), C)=C) ) ) ) ) ) ).
fof(t29_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k5_robbins1(A, k3_robbins1(A, k5_robbins1(A, k3_robbins1(A, k5_robbins1(A, B, C)), C)), B)=B) ) ) ) ) ) ).
fof(t30_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k5_robbins1(A, B, k3_robbins1(A, k5_robbins1(A, k3_robbins1(A, k5_robbins1(A, C, B)), C)))=B) ) ) ) ) ) ).
fof(t31_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k5_robbins1(A, k3_robbins1(A, k5_robbins1(A, B, k3_robbins1(A, C))), k3_robbins1(A, k5_robbins1(A, k3_robbins1(A, C), C)))=k3_robbins1(A, k5_robbins1(A, B, k3_robbins1(A, C)))) ) ) ) ) ) ).
fof(t32_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k5_robbins1(A, k3_robbins1(A, k5_robbins1(A, B, C)), k3_robbins1(A, k5_robbins1(A, C, k3_robbins1(A, C))))=k3_robbins1(A, k5_robbins1(A, B, C))) ) ) ) ) ) ).
fof(t33_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k5_robbins1(A, k3_robbins1(A, k5_robbins1(A, B, C)), k3_robbins1(A, k5_robbins1(A, k3_robbins1(A, C), C)))=k3_robbins1(A, k5_robbins1(A, B, C))) ) ) ) ) ) ).
fof(t34_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_robbins1(A, k5_robbins1(A, k3_robbins1(A, k3_robbins1(A, k5_robbins1(A, B, k3_robbins1(A, C)))), C))=k3_robbins1(A, k5_robbins1(A, k3_robbins1(A, C), C))) ) ) ) ) ) ).
fof(t35_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_robbins1(A, k5_robbins1(A, k5_robbins1(A, B, k3_robbins1(A, C)), C))=k3_robbins1(A, k5_robbins1(A, k3_robbins1(A, C), C))) ) ) ) ) ) ).
fof(t36_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_robbins1(A, k5_robbins1(A, k3_robbins1(A, k5_robbins1(A, k3_robbins1(A, k5_robbins1(A, k5_robbins1(A, B, k3_robbins1(A, C)), D)), C)), k3_robbins1(A, k5_robbins1(A, k3_robbins1(A, C), C))))=C) ) ) ) ) ) ) ) ).
fof(t37_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k5_robbins1(A, B, k3_robbins1(A, k5_robbins1(A, k3_robbins1(A, k5_robbins1(A, C, D)), k3_robbins1(A, k5_robbins1(A, C, B)))))=k5_robbins1(A, C, B)) ) ) ) ) ) ) ) ).
fof(t38_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k5_robbins1(A, B, k3_robbins1(A, k5_robbins1(A, C, k3_robbins1(A, k5_robbins1(A, k3_robbins1(A, k5_robbins1(A, D, C)), B)))))=k5_robbins1(A, k3_robbins1(A, k5_robbins1(A, D, C)), B)) ) ) ) ) ) ) ) ).
fof(t39_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k5_robbins1(A, B, k3_robbins1(A, k5_robbins1(A, k3_robbins1(A, k5_robbins1(A, C, B)), k3_robbins1(A, k5_robbins1(A, C, D)))))=k5_robbins1(A, C, B)) ) ) ) ) ) ) ) ).
fof(t40_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k5_robbins1(A, k3_robbins1(A, k5_robbins1(A, k3_robbins1(A, k5_robbins1(A, B, C)), k3_robbins1(A, k5_robbins1(A, k3_robbins1(A, k5_robbins1(A, B, C)), k3_robbins1(A, k5_robbins1(A, B, D)))))), C)=C) ) ) ) ) ) ) ) ).
fof(t41_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_robbins1(A, k3_robbins1(A, k5_robbins1(A, k3_robbins1(A, k5_robbins1(A, k5_robbins1(A, B, k3_robbins1(A, C)), D)), C)))=C) ) ) ) ) ) ) ) ).
fof(t42_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k5_robbins1(A, B, k3_robbins1(A, k5_robbins1(A, k5_robbins1(A, C, k3_robbins1(A, B)), D)))=B) ) ) ) ) ) ) ) ).
fof(t43_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k5_robbins1(A, k3_robbins1(A, B), k3_robbins1(A, k5_robbins1(A, k5_robbins1(A, C, B), D)))=k3_robbins1(A, B)) ) ) ) ) ) ) ) ).
fof(t44_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k5_robbins1(A, k3_robbins1(A, k5_robbins1(A, B, C)), B)=k5_robbins1(A, B, k3_robbins1(A, C))) ) ) ) ) ) ).
fof(t45_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_robbins1(A, k5_robbins1(A, B, k3_robbins1(A, k5_robbins1(A, B, k3_robbins1(A, C)))))=k3_robbins1(A, k5_robbins1(A, B, C))) ) ) ) ) ) ).
fof(t46_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k5_robbins1(A, k3_robbins1(A, k5_robbins1(A, k3_robbins1(A, k5_robbins1(A, B, C)), k5_robbins1(A, B, D))), C)=C) ) ) ) ) ) ) ) ).
fof(t47_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k5_robbins1(A, k3_robbins1(A, k5_robbins1(A, k3_robbins1(A, k5_robbins1(A, k3_robbins1(A, k5_robbins1(A, B, C)), D)), k3_robbins1(A, k5_robbins1(A, k3_robbins1(A, B), C)))), C)=k3_robbins1(A, k3_robbins1(A, k5_robbins1(A, k3_robbins1(A, B), C)))) ) ) ) ) ) ) ) ).
fof(t48_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k5_robbins1(A, k3_robbins1(A, k5_robbins1(A, k3_robbins1(A, k5_robbins1(A, k3_robbins1(A, k5_robbins1(A, B, C)), D)), k3_robbins1(A, k5_robbins1(A, k3_robbins1(A, B), C)))), C)=k5_robbins1(A, k3_robbins1(A, B), C)) ) ) ) ) ) ) ) ).
fof(t49_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k5_robbins1(A, k3_robbins1(A, k5_robbins1(A, k3_robbins1(A, B), k3_robbins1(A, k5_robbins1(A, k3_robbins1(A, k3_robbins1(A, k5_robbins1(A, C, B))), k5_robbins1(A, C, D))))), k5_robbins1(A, C, D))=k5_robbins1(A, k3_robbins1(A, k3_robbins1(A, k5_robbins1(A, C, B))), k5_robbins1(A, C, D))) ) ) ) ) ) ) ) ).
fof(t50_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k5_robbins1(A, k3_robbins1(A, k5_robbins1(A, k3_robbins1(A, B), k3_robbins1(A, k5_robbins1(A, k5_robbins1(A, C, B), k5_robbins1(A, C, D))))), k5_robbins1(A, C, D))=k5_robbins1(A, k3_robbins1(A, k3_robbins1(A, k5_robbins1(A, C, B))), k5_robbins1(A, C, D))) ) ) ) ) ) ) ) ).
fof(t51_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k5_robbins1(A, k3_robbins1(A, k5_robbins1(A, k3_robbins1(A, B), k3_robbins1(A, k5_robbins1(A, k5_robbins1(A, C, B), k5_robbins1(A, C, D))))), k5_robbins1(A, C, D))=k5_robbins1(A, k5_robbins1(A, C, B), k5_robbins1(A, C, D))) ) ) ) ) ) ) ) ).
fof(t52_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k5_robbins1(A, k3_robbins1(A, k3_robbins1(A, B)), k5_robbins1(A, C, D))=k5_robbins1(A, k5_robbins1(A, C, B), k5_robbins1(A, C, D))) ) ) ) ) ) ) ) ).
fof(t53_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k5_robbins1(A, k5_robbins1(A, B, C), k5_robbins1(A, B, D))=k5_robbins1(A, C, k5_robbins1(A, B, D))) ) ) ) ) ) ) ) ).
fof(t54_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k5_robbins1(A, k5_robbins1(A, B, C), k5_robbins1(A, B, D))=k5_robbins1(A, D, k5_robbins1(A, B, C))) ) ) ) ) ) ) ) ).
fof(t55_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k5_robbins1(A, B, k5_robbins1(A, C, D))=k5_robbins1(A, D, k5_robbins1(A, C, B))) ) ) ) ) ) ) ) ).
fof(t56_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k5_robbins1(A, B, k5_robbins1(A, C, D))=k5_robbins1(A, C, k5_robbins1(A, D, B))) ) ) ) ) ) ) ) ).
fof(t57_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_robbins2(A) & l2_robbins1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k5_robbins1(A, k5_robbins1(A, B, C), D)=k5_robbins1(A, B, k5_robbins1(A, C, D))) ) ) ) ) ) ) ) ).
fof(t58_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_robbins1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (v4_lattices(A) &  (v5_lattices(A) & v6_robbins1(A)) )  => k4_robbins1(A, k1_lattices(A, C, B), k1_lattices(A, C, k3_robbins1(A, B)))=C) ) ) ) ) ) ) ).
fof(t59_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) & l2_robbins1(A)) ) )  =>  (v5_robbins1(A) => v1_robbins2(A)) ) ) ).
fof(d2_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_robbins1(A))  =>  (v2_robbins2(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_lattices(A, k3_robbins1(A, k1_lattices(A, k3_robbins1(A, B), C)), B)=B) ) ) ) ) ) ) ).
fof(d3_robbins2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_robbins1(A))  =>  (v3_robbins2(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_lattices(A, k3_robbins1(A, k1_lattices(A, k3_robbins1(A, B), C)), k1_lattices(A, D, C))=k1_lattices(A, C, k1_lattices(A, D, B))) ) ) ) ) ) ) ) ) ).
fof(cc1_robbins3, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  & v10_lattices(A))  =>  ( ~ (v2_struct_0(A))  &  (v1_robbins3(A) &  (v2_robbins3(A) & v3_robbins3(A)) ) ) ) ) ) ).
fof(cc2_robbins3, axiom,  (! [A] :  (l3_lattices(A) =>  ( ( ~ (v2_struct_0(A))  &  (v9_lattices(A) &  (v1_robbins3(A) &  (v2_robbins3(A) & v3_robbins3(A)) ) ) )  =>  ( ~ (v2_struct_0(A))  & v10_lattices(A)) ) ) ) ).
fof(cc3_robbins3, axiom,  (! [A] :  (l2_qmax_1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v6_oposet_1(A) & v10_oposet_1(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v1_oposet_1(A) & v6_oposet_1(A)) ) ) ) ) ).
fof(rc1_robbins3, axiom,  (? [A] :  (l2_qmax_1(A) &  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v3_qmax_1(A) &  (v1_oposet_1(A) &  (v6_oposet_1(A) &  (v7_oposet_1(A) & v10_oposet_1(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_robbins3, axiom,  (? [A] :  (l1_robbins3(A) & v4_robbins3(A)) ) ).
fof(rc3_robbins3, axiom,  (? [A] :  (l2_robbins3(A) & v5_robbins3(A)) ) ).
fof(rc4_robbins3, axiom,  (? [A] :  (l3_robbins3(A) & v6_robbins3(A)) ) ).
fof(fc1_robbins3, axiom, v13_struct_0(k1_robbins3, 1)).
fof(rc5_robbins3, axiom,  (? [A] :  (l1_robbins3(A) &  ~ (v2_struct_0(A)) ) ) ).
fof(rc6_robbins3, axiom,  (? [A] :  (l2_robbins3(A) &  ~ (v2_struct_0(A)) ) ) ).
fof(rc7_robbins3, axiom,  (? [A] :  (l3_robbins3(A) &  ~ (v2_struct_0(A)) ) ) ).
fof(fc2_robbins3, axiom, v3_orders_2(k1_robbins3)).
fof(rc8_robbins3, axiom,  (? [A] :  (l3_robbins3(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) & v2_lattice3(A)) ) ) ) ) ) ).
fof(fc3_robbins3, axiom, v3_robbins3(k1_robbins3)).
fof(rc9_robbins3, axiom,  (? [A] :  (l3_robbins3(A) &  ( ~ (v2_struct_0(A))  & v10_lattices(A)) ) ) ).
fof(rc10_robbins3, axiom,  (? [A] :  (l4_robbins3(A) & v7_robbins3(A)) ) ).
fof(fc4_robbins3, axiom,  (v4_robbins1(k2_robbins1) &  (v8_robbins3(k2_robbins1) & v9_robbins3(k2_robbins1)) ) ).
fof(fc5_robbins3, axiom, v13_struct_0(k3_robbins3, 1)).
fof(fc6_robbins3, axiom, v3_orders_2(k3_robbins3)).
fof(fc7_robbins3, axiom,  (v8_robbins3(k3_robbins3) & v9_robbins3(k3_robbins3)) ).
fof(rc11_robbins3, axiom,  (? [A] :  (l4_robbins1(A) &  ( ~ (v2_struct_0(A))  &  (v7_struct_0(A) &  (v8_struct_0(A) &  (v13_struct_0(A, 1) &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v10_lattices(A) &  (v11_lattices(A) &  (v12_lattices(A) &  (v13_lattices(A) &  (v14_lattices(A) &  (v15_lattices(A) &  (v16_lattices(A) &  (v17_lattices(A) &  (v10_robbins1(A) &  (v1_sheffer1(A) &  (v2_sheffer1(A) &  (v3_sheffer1(A) &  (v4_sheffer1(A) &  (v1_robbins3(A) &  (v2_robbins3(A) &  (v3_robbins3(A) &  (v8_robbins3(A) & v9_robbins3(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc4_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (! [B] :  (m2_robbins3(B, A) =>  ~ (v2_struct_0(B)) ) ) ) ) ).
fof(cc5_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m2_robbins3(B, A) => v7_lattices(B)) ) ) ) ).
fof(cc6_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m2_robbins3(B, A) => v5_lattices(B)) ) ) ) ).
fof(cc7_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m2_robbins3(B, A) => v6_lattices(B)) ) ) ) ).
fof(cc8_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m2_robbins3(B, A) => v4_lattices(B)) ) ) ) ).
fof(cc9_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m2_robbins3(B, A) => v9_lattices(B)) ) ) ) ).
fof(cc10_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  (m2_robbins3(B, A) => v8_lattices(B)) ) ) ) ).
fof(rc12_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (? [B] :  (m2_robbins3(B, A) &  ( ~ (v2_struct_0(B))  &  (v4_lattices(B) &  (v5_lattices(B) &  (v6_lattices(B) &  (v7_lattices(B) &  (v8_lattices(B) &  (v9_lattices(B) &  (v10_lattices(B) &  (v1_robbins3(B) &  (v2_robbins3(B) &  (v3_robbins3(B) &  (v10_robbins3(B) & v11_robbins3(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc13_robbins3, axiom,  (? [A] :  (l3_robbins3(A) &  (v13_struct_0(A, 1) & v3_orders_2(A)) ) ) ).
fof(rc14_robbins3, axiom,  (? [A] :  (l4_robbins3(A) &  (v13_struct_0(A, 1) & v3_orders_2(A)) ) ) ).
fof(rc15_robbins3, axiom,  (? [A] :  (l2_qmax_1(A) &  (v13_struct_0(A, 1) & v3_orders_2(A)) ) ) ).
fof(cc11_robbins3, axiom,  (! [A] :  (l4_robbins1(A) =>  (v13_struct_0(A, 1) =>  (v13_struct_0(A, 1) &  (v8_robbins1(A) &  (v10_robbins1(A) &  (v8_robbins3(A) & v9_robbins3(A)) ) ) ) ) ) ) ).
fof(cc12_robbins3, axiom,  (! [A] :  (l2_qmax_1(A) =>  ( (v13_struct_0(A, 1) & v3_orders_2(A))  =>  (v13_struct_0(A, 1) &  (v3_orders_2(A) &  (v6_oposet_1(A) &  (v7_oposet_1(A) & v10_oposet_1(A)) ) ) ) ) ) ) ).
fof(cc13_robbins3, axiom,  (! [A] :  (l3_robbins3(A) =>  ( (v13_struct_0(A, 1) & v3_orders_2(A))  =>  (v13_struct_0(A, 1) &  (v3_orders_2(A) &  (v10_robbins3(A) & v11_robbins3(A)) ) ) ) ) ) ).
fof(rc16_robbins3, axiom,  (? [A] :  (l4_robbins3(A) &  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v10_robbins1(A) &  (v6_oposet_1(A) &  (v7_oposet_1(A) &  (v10_oposet_1(A) &  (v10_robbins3(A) & v11_robbins3(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc17_robbins3, axiom,  (? [A] :  (l3_robbins3(A) &  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v10_robbins3(A) & v11_robbins3(A)) ) ) ) ) ) ) ).
fof(cc14_robbins3, axiom,  (! [A] :  (l3_robbins3(A) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & v10_robbins3(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v1_lattice3(A) & v2_lattice3(A)) ) ) ) ) ).
fof(cc15_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_robbins1(A))  =>  (! [B] :  (m3_robbins3(B, A) =>  ~ (v2_struct_0(B)) ) ) ) ) ).
fof(cc16_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_lattices(A) & l4_robbins1(A)) )  =>  (! [B] :  (m3_robbins3(B, A) => v7_lattices(B)) ) ) ) ).
fof(cc17_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_lattices(A) & l4_robbins1(A)) )  =>  (! [B] :  (m3_robbins3(B, A) => v5_lattices(B)) ) ) ) ).
fof(cc18_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_lattices(A) & l4_robbins1(A)) )  =>  (! [B] :  (m3_robbins3(B, A) => v6_lattices(B)) ) ) ) ).
fof(cc19_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) & l4_robbins1(A)) )  =>  (! [B] :  (m3_robbins3(B, A) => v4_lattices(B)) ) ) ) ).
fof(cc20_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_lattices(A) & l4_robbins1(A)) )  =>  (! [B] :  (m3_robbins3(B, A) => v8_lattices(B)) ) ) ) ).
fof(cc21_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_lattices(A) & l4_robbins1(A)) )  =>  (! [B] :  (m3_robbins3(B, A) => v9_lattices(B)) ) ) ) ).
fof(cc22_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_robbins3(A) & l4_robbins1(A)) )  =>  (! [B] :  (m3_robbins3(B, A) => v9_robbins3(B)) ) ) ) ).
fof(rc18_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v10_robbins1(A) &  (v8_robbins3(A) &  (v9_robbins3(A) & l4_robbins1(A)) ) ) ) )  =>  (? [B] :  (m3_robbins3(B, A) &  ( ~ (v2_struct_0(B))  &  (v4_lattices(B) &  (v5_lattices(B) &  (v6_lattices(B) &  (v7_lattices(B) &  (v8_lattices(B) &  (v9_lattices(B) &  (v10_lattices(B) &  (v1_robbins3(B) &  (v2_robbins3(B) &  (v3_robbins3(B) &  (v9_robbins3(B) &  (v10_robbins3(B) & v11_robbins3(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc19_robbins3, axiom,  (? [A] :  (l4_robbins3(A) &  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v8_robbins1(A) &  (v10_robbins1(A) &  (v8_robbins3(A) &  (v9_robbins3(A) & v10_robbins3(A)) ) ) ) ) ) ) ) ).
fof(cc23_robbins3, axiom,  (! [A] :  (l3_robbins3(A) =>  ( ( ~ (v2_struct_0(A))  &  (v6_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) & v10_robbins3(A)) ) ) )  =>  ( ~ (v2_struct_0(A))  & v3_orders_2(A)) ) ) ) ).
fof(cc24_robbins3, axiom,  (! [A] :  (l3_robbins3(A) =>  ( ( ~ (v2_struct_0(A))  &  (v5_lattices(A) & v10_robbins3(A)) )  =>  ( ~ (v2_struct_0(A))  & v4_orders_2(A)) ) ) ) ).
fof(cc25_robbins3, axiom,  (! [A] :  (l3_robbins3(A) =>  ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) & v10_robbins3(A)) )  =>  ( ~ (v2_struct_0(A))  & v5_orders_2(A)) ) ) ) ).
fof(cc26_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v10_robbins1(A) &  (v8_robbins3(A) &  (v9_robbins3(A) & l4_robbins1(A)) ) ) ) )  =>  (! [B] :  (m3_robbins3(B, A) => v8_robbins3(B)) ) ) ) ).
fof(cc27_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v10_robbins1(A) &  (v8_robbins3(A) &  (v9_robbins3(A) & l4_robbins1(A)) ) ) ) )  =>  (! [B] :  (m3_robbins3(B, A) => v10_robbins1(B)) ) ) ) ).
fof(cc28_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v10_robbins1(A) &  (v8_robbins3(A) &  (v9_robbins3(A) & l4_robbins1(A)) ) ) ) )  =>  (! [B] :  (m3_robbins3(B, A) =>  (v10_robbins3(B) =>  (v12_oposet_1(B) & v10_robbins3(B)) ) ) ) ) ) ).
fof(cc29_robbins3, axiom,  (! [A] :  (l4_robbins1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v17_lattices(A) & v8_robbins1(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  (v10_robbins1(A) &  (v8_robbins3(A) & v9_robbins3(A)) ) ) ) ) ) ).
fof(d1_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_lattices(A))  =>  (v1_robbins3(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_lattices(A, B, k1_lattices(A, C, D))=k1_lattices(A, C, k1_lattices(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(d2_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lattices(A))  =>  (v2_robbins3(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k2_lattices(A, B, k2_lattices(A, C, D))=k2_lattices(A, C, k2_lattices(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(d3_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (v3_robbins3(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_lattices(A, B, k2_lattices(A, B, C))=B) ) ) ) ) ) ) ).
fof(t1_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  ( (v2_robbins3(A) &  (v1_robbins3(A) &  (v3_robbins3(A) & v9_lattices(A)) ) )  =>  (v5_sheffer1(A) & v7_robbins1(A)) ) ) ) ).
fof(t2_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  ( (v2_robbins3(A) &  (v1_robbins3(A) &  (v3_robbins3(A) & v9_lattices(A)) ) )  =>  (v6_lattices(A) & v4_lattices(A)) ) ) ) ).
fof(t3_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  ( (v2_robbins3(A) &  (v1_robbins3(A) &  (v3_robbins3(A) & v9_lattices(A)) ) )  => v8_lattices(A)) ) ) ).
fof(t4_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  ( (v2_robbins3(A) &  (v1_robbins3(A) &  (v3_robbins3(A) & v9_lattices(A)) ) )  =>  (v7_lattices(A) & v5_lattices(A)) ) ) ) ).
fof(t5_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (v10_lattices(A) <=>  (v2_robbins3(A) &  (v1_robbins3(A) &  (v3_robbins3(A) & v9_lattices(A)) ) ) ) ) ) ).
fof(t6_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_oposet_1(A) & l2_qmax_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k3_robbins1(A, k3_robbins1(A, B))=B) ) ) ) ).
fof(t7_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v6_oposet_1(A) &  (v10_oposet_1(A) & l2_qmax_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_orders_2(A, B, C) => r3_orders_2(A, k3_robbins1(A, C), k3_robbins1(A, B))) ) ) ) ) ) ) ).
fof(d4_robbins3, axiom, k1_robbins3=g3_robbins3(k1_tarski(k5_ordinal1), k9_funct_5, k9_funct_5, k6_partfun1(k1_tarski(k5_ordinal1)))).
fof(t8_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  ( (r1_relat_2(u1_orders_2(A), u1_struct_0(A)) &  (v4_relat_2(u1_orders_2(A)) & v8_relat_2(u1_orders_2(A))) )  =>  (v3_orders_2(A) &  (v5_orders_2(A) & v4_orders_2(A)) ) ) ) ) ).
fof(d5_robbins3, axiom, k3_robbins3=g4_robbins3(k1_tarski(k5_ordinal1), k9_funct_5, k9_funct_5, k6_partfun1(k1_tarski(k5_ordinal1)), k8_funct_5)).
fof(d6_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_robbins1(A))  =>  (v8_robbins3(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k3_robbins1(A, k3_robbins1(A, B))=B) ) ) ) ) ).
fof(d7_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_robbins1(A))  =>  (v9_robbins3(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_lattices(A, B, k3_robbins1(A, B))=k1_lattices(A, C, k3_robbins1(A, C))) ) ) ) ) ) ) ).
fof(t9_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_lattices(B))  =>  ( (g3_lattices(u1_struct_0(A), u2_lattices(A), u1_lattices(A))=g3_lattices(u1_struct_0(B), u2_lattices(B), u1_lattices(B)) & v4_lattices(A))  => v4_lattices(B)) ) ) ) ) ).
fof(t10_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_lattices(B))  =>  ( (g3_lattices(u1_struct_0(A), u2_lattices(A), u1_lattices(A))=g3_lattices(u1_struct_0(B), u2_lattices(B), u1_lattices(B)) & v6_lattices(A))  => v6_lattices(B)) ) ) ) ) ).
fof(t11_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_lattices(B))  =>  ( (g3_lattices(u1_struct_0(A), u2_lattices(A), u1_lattices(A))=g3_lattices(u1_struct_0(B), u2_lattices(B), u1_lattices(B)) & v5_lattices(A))  => v5_lattices(B)) ) ) ) ) ).
fof(t12_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_lattices(B))  =>  ( (g3_lattices(u1_struct_0(A), u2_lattices(A), u1_lattices(A))=g3_lattices(u1_struct_0(B), u2_lattices(B), u1_lattices(B)) & v7_lattices(A))  => v7_lattices(B)) ) ) ) ) ).
fof(t13_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_lattices(B))  =>  ( (g3_lattices(u1_struct_0(A), u2_lattices(A), u1_lattices(A))=g3_lattices(u1_struct_0(B), u2_lattices(B), u1_lattices(B)) & v9_lattices(A))  => v9_lattices(B)) ) ) ) ) ).
fof(t14_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_lattices(B))  =>  ( (g3_lattices(u1_struct_0(A), u2_lattices(A), u1_lattices(A))=g3_lattices(u1_struct_0(B), u2_lattices(B), u1_lattices(B)) & v8_lattices(A))  => v8_lattices(B)) ) ) ) ) ).
fof(t15_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l3_lattices(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l3_lattices(B))  =>  ( (g3_lattices(u1_struct_0(A), u2_lattices(A), u1_lattices(A))=g3_lattices(u1_struct_0(B), u2_lattices(B), u1_lattices(B)) & v10_lattices(A))  => v10_lattices(B)) ) ) ) ) ).
fof(t16_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_lattices(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_lattices(B))  =>  (g2_lattices(u1_struct_0(A), u2_lattices(A))=g2_lattices(u1_struct_0(B), u2_lattices(B)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( (C=E & D=F)  => k1_lattices(A, C, D)=k1_lattices(B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_lattices(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_lattices(B))  =>  (g1_lattices(u1_struct_0(A), u1_lattices(A))=g1_lattices(u1_struct_0(B), u1_lattices(B)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( (C=E & D=F)  => k2_lattices(A, C, D)=k2_lattices(B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_robbins1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_robbins1(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  ( (r1_funct_2(u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_robbins1(A), u1_robbins1(B)) & C=D)  => k3_robbins1(A, C)=k3_robbins1(B, D)) ) ) ) ) ) ) ) ) ).
fof(t19_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_robbins1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_robbins1(B))  =>  ( (g2_robbins1(u1_struct_0(A), u2_lattices(A), u1_robbins1(A))=g2_robbins1(u1_struct_0(B), u2_lattices(B), u1_robbins1(B)) & v9_robbins3(A))  => v9_robbins3(B)) ) ) ) ) ).
fof(t20_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_robbins1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l4_robbins1(B))  =>  ( (g4_robbins1(u1_struct_0(A), u2_lattices(A), u1_lattices(A), u1_robbins1(A))=g4_robbins1(u1_struct_0(B), u2_lattices(B), u1_lattices(B), u1_robbins1(B)) & v10_robbins1(A))  => v10_robbins1(B)) ) ) ) ) ).
fof(t21_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_robbins1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l4_robbins1(B))  =>  ( (g4_robbins1(u1_struct_0(A), u2_lattices(A), u1_lattices(A), u1_robbins1(A))=g4_robbins1(u1_struct_0(B), u2_lattices(B), u1_lattices(B), u1_robbins1(B)) & v8_robbins3(A))  => v8_robbins3(B)) ) ) ) ) ).
fof(d8_robbins3, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (l3_robbins3(B) =>  (m1_robbins3(B, A) <=> g1_orders_2(u1_struct_0(B), u1_orders_2(B))=g1_orders_2(u1_struct_0(A), u1_orders_2(A))) ) ) ) ) ).
fof(d9_robbins3, axiom,  (! [A] :  (l3_lattices(A) =>  (! [B] :  (l3_robbins3(B) =>  (m2_robbins3(B, A) <=> g3_lattices(u1_struct_0(B), u2_lattices(B), u1_lattices(B))=g3_lattices(u1_struct_0(A), u2_lattices(A), u1_lattices(A))) ) ) ) ) ).
fof(d10_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_robbins3(A))  =>  (v10_robbins3(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_orders_2(A, B, C) <=> k1_lattices(A, B, C)=C) ) ) ) ) ) ) ) ).
fof(d11_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_robbins3(A))  =>  (v11_robbins3(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_orders_2(A, B, C) <=> k2_lattices(A, B, C)=B) ) ) ) ) ) ) ) ).
fof(t22_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_robbins3(A) & l3_robbins3(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_orders_2(A, B, C) <=> r1_lattices(A, B, C)) ) ) ) ) ) ) ).
fof(t23_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v10_robbins3(A) & l3_robbins3(A)) ) )  => g1_orders_2(u1_struct_0(A), u1_orders_2(A))=k3_lattice3(A)) ) ).
fof(d12_robbins3, axiom,  (! [A] :  (l4_robbins1(A) =>  (! [B] :  (l4_robbins3(B) =>  (m3_robbins3(B, A) <=> g4_robbins1(u1_struct_0(B), u2_lattices(B), u1_lattices(B), u1_robbins1(B))=g4_robbins1(u1_struct_0(A), u2_lattices(A), u1_lattices(A), u1_robbins1(A))) ) ) ) ) ).
fof(t24_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v6_oposet_1(A) & l2_qmax_1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_orders_2(A, B, C) =>  (C=k10_lattice3(A, B, C) & B=k11_lattice3(A, B, C)) ) ) ) ) ) ) ) ).
fof(t25_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v10_robbins3(A) & l4_robbins3(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k10_lattice3(A, B, C)=k5_robbins3(A, B, C)) ) ) ) ) ) ).
fof(t26_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v10_robbins3(A) & l4_robbins3(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k11_lattice3(A, B, C)=k4_robbins3(A, B, C)) ) ) ) ) ) ).
fof(t27_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v6_oposet_1(A) &  (v10_oposet_1(A) &  (v10_robbins3(A) &  (v11_robbins3(A) & l4_robbins3(A)) ) ) ) ) ) ) )  => v10_robbins1(A)) ) ).
fof(t28_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_robbins3(A))  =>  ( (v8_robbins3(A) &  (v9_robbins3(A) &  (v10_robbins1(A) &  (v10_lattices(A) & v10_robbins3(A)) ) ) )  =>  (v12_oposet_1(A) & v6_oposet_1(A)) ) ) ) ).
fof(t29_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v10_robbins1(A) &  (v8_robbins3(A) &  (v9_robbins3(A) & l4_robbins1(A)) ) ) ) )  =>  (! [B] :  ( (v10_robbins3(B) & m3_robbins3(B, A))  => v12_oposet_1(B)) ) ) ) ).
fof(t30_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_robbins1(A))  =>  ( (v17_lattices(A) &  (v8_robbins1(A) & v10_lattices(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v10_robbins1(A) &  (v8_robbins3(A) &  (v9_robbins3(A) & l4_robbins1(A)) ) ) ) ) ) ) ) ).
fof(abstractness_v4_robbins3, axiom,  (! [A] :  (l1_robbins3(A) =>  (v4_robbins3(A) => A=g1_robbins3(u1_struct_0(A), u2_lattices(A), u1_orders_2(A))) ) ) ).
fof(dt_l1_robbins3, axiom,  (! [A] :  (l1_robbins3(A) =>  (l2_lattices(A) & l1_orders_2(A)) ) ) ).
fof(existence_l1_robbins3, axiom,  (? [A] : l1_robbins3(A)) ).
fof(dt_g1_robbins3, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (v4_robbins3(g1_robbins3(A, B, C)) & l1_robbins3(g1_robbins3(A, B, C))) ) ) ).
fof(free_g1_robbins3, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [D, E, F] :  (g1_robbins3(A, B, C)=g1_robbins3(D, E, F) =>  (A=D &  (B=E & C=F) ) ) ) ) ) ).
fof(abstractness_v5_robbins3, axiom,  (! [A] :  (l2_robbins3(A) =>  (v5_robbins3(A) => A=g2_robbins3(u1_struct_0(A), u1_lattices(A), u1_orders_2(A))) ) ) ).
fof(dt_l2_robbins3, axiom,  (! [A] :  (l2_robbins3(A) =>  (l1_lattices(A) & l1_orders_2(A)) ) ) ).
fof(existence_l2_robbins3, axiom,  (? [A] : l2_robbins3(A)) ).
fof(dt_g2_robbins3, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (v5_robbins3(g2_robbins3(A, B, C)) & l2_robbins3(g2_robbins3(A, B, C))) ) ) ).
fof(free_g2_robbins3, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [D, E, F] :  (g2_robbins3(A, B, C)=g2_robbins3(D, E, F) =>  (A=D &  (B=E & C=F) ) ) ) ) ) ).
fof(abstractness_v6_robbins3, axiom,  (! [A] :  (l3_robbins3(A) =>  (v6_robbins3(A) => A=g3_robbins3(u1_struct_0(A), u2_lattices(A), u1_lattices(A), u1_orders_2(A))) ) ) ).
fof(dt_l3_robbins3, axiom,  (! [A] :  (l3_robbins3(A) =>  (l2_robbins3(A) &  (l1_robbins3(A) & l3_lattices(A)) ) ) ) ).
fof(existence_l3_robbins3, axiom,  (? [A] : l3_robbins3(A)) ).
fof(dt_g3_robbins3, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (v6_robbins3(g3_robbins3(A, B, C, D)) & l3_robbins3(g3_robbins3(A, B, C, D))) ) ) ).
fof(free_g3_robbins3, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (! [E, F, G, H] :  (g3_robbins3(A, B, C, D)=g3_robbins3(E, F, G, H) =>  (A=E &  (B=F &  (C=G & D=H) ) ) ) ) ) ) ).
fof(dt_k1_robbins3, axiom, l3_robbins3(k1_robbins3)).
fof(dt_k2_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (v1_partfun1(k2_robbins3(A), u1_struct_0(A)) &  (v1_relat_2(k2_robbins3(A)) &  (v4_relat_2(k2_robbins3(A)) &  (v8_relat_2(k2_robbins3(A)) & m1_subset_1(k2_robbins3(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ) ) ).
fof(redefinition_k2_robbins3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  => k2_robbins3(A)=k8_filter_1(A)) ) ).
fof(abstractness_v7_robbins3, axiom,  (! [A] :  (l4_robbins3(A) =>  (v7_robbins3(A) => A=g4_robbins3(u1_struct_0(A), u2_lattices(A), u1_lattices(A), u1_orders_2(A), u1_robbins1(A))) ) ) ).
fof(dt_l4_robbins3, axiom,  (! [A] :  (l4_robbins3(A) =>  (l3_robbins3(A) &  (l4_robbins1(A) & l2_qmax_1(A)) ) ) ) ).
fof(existence_l4_robbins3, axiom,  (? [A] : l4_robbins3(A)) ).
fof(dt_g4_robbins3, axiom,  (! [A, B, C, D, E] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (v1_funct_1(E) &  (v1_funct_2(E, A, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) )  =>  (v7_robbins3(g4_robbins3(A, B, C, D, E)) & l4_robbins3(g4_robbins3(A, B, C, D, E))) ) ) ).
fof(free_g4_robbins3, axiom,  (! [A, B, C, D, E] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (v1_funct_1(E) &  (v1_funct_2(E, A, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) )  =>  (! [F, G, H, I, J] :  (g4_robbins3(A, B, C, D, E)=g4_robbins3(F, G, H, I, J) =>  (A=F &  (B=G &  (C=H &  (D=I & E=J) ) ) ) ) ) ) ) ).
fof(dt_k3_robbins3, axiom, l4_robbins3(k3_robbins3)).
fof(dt_m1_robbins3, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_robbins3(B, A) => l3_robbins3(B)) ) ) ) ).
fof(existence_m1_robbins3, axiom,  (! [A] :  (l1_orders_2(A) =>  (? [B] : m1_robbins3(B, A)) ) ) ).
fof(dt_m2_robbins3, axiom,  (! [A] :  (l3_lattices(A) =>  (! [B] :  (m2_robbins3(B, A) => l3_robbins3(B)) ) ) ) ).
fof(existence_m2_robbins3, axiom,  (! [A] :  (l3_lattices(A) =>  (? [B] : m2_robbins3(B, A)) ) ) ).
fof(dt_m3_robbins3, axiom,  (! [A] :  (l4_robbins1(A) =>  (! [B] :  (m3_robbins3(B, A) => l4_robbins3(B)) ) ) ) ).
fof(existence_m3_robbins3, axiom,  (! [A] :  (l4_robbins1(A) =>  (? [B] : m3_robbins3(B, A)) ) ) ).
fof(dt_k4_robbins3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_lattices(A) & l1_lattices(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k4_robbins3(A, B, C), u1_struct_0(A))) ) ).
fof(commutativity_k4_robbins3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_lattices(A) & l1_lattices(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k4_robbins3(A, B, C)=k4_robbins3(A, C, B)) ) ).
fof(redefinition_k4_robbins3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v6_lattices(A) & l1_lattices(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k4_robbins3(A, B, C)=k2_lattices(A, B, C)) ) ).
fof(dt_k5_robbins3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) & l2_lattices(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k5_robbins3(A, B, C), u1_struct_0(A))) ) ).
fof(commutativity_k5_robbins3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) & l2_lattices(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k5_robbins3(A, B, C)=k5_robbins3(A, C, B)) ) ).
fof(redefinition_k5_robbins3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_lattices(A) & l2_lattices(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k5_robbins3(A, B, C)=k1_lattices(A, B, C)) ) ).
fof(fc1_robbins4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (v3_lattices(g3_lattices(u1_struct_0(A), u2_lattices(A), u1_lattices(A))) & v10_lattices(g3_lattices(u1_struct_0(A), u2_lattices(A), u1_lattices(A)))) ) ) ).
fof(cc1_robbins4, axiom,  (! [A] :  (l4_robbins1(A) =>  (v13_struct_0(A, 1) =>  (v13_struct_0(A, 1) & v3_robbins3(A)) ) ) ) ).
fof(cc2_robbins4, axiom,  (! [A] :  (l4_robbins1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v10_robbins1(A) &  (v8_robbins3(A) & v9_robbins3(A)) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v13_lattices(A) &  (v10_robbins1(A) &  (v8_robbins3(A) & v9_robbins3(A)) ) ) ) ) ) ) ) ).
fof(cc3_robbins4, axiom,  (! [A] :  (l4_robbins1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v10_robbins1(A) &  (v8_robbins3(A) & v9_robbins3(A)) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v14_lattices(A) &  (v10_robbins1(A) &  (v8_robbins3(A) & v9_robbins3(A)) ) ) ) ) ) ) ) ).
fof(rc1_robbins4, axiom,  (? [A] :  (l4_robbins1(A) &  ( ~ (v2_struct_0(A))  &  (v7_struct_0(A) &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v10_lattices(A) &  (v12_lattices(A) &  (v13_lattices(A) &  (v14_lattices(A) &  (v15_lattices(A) &  (v17_lattices(A) &  (v10_robbins1(A) &  (v1_robbins3(A) &  (v2_robbins3(A) &  (v3_robbins3(A) &  (v8_robbins3(A) &  (v9_robbins3(A) & v1_robbins4(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc4_robbins4, axiom,  (! [A] :  (l4_robbins1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v5_lattices(A) &  (v6_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) & v2_robbins4(A)) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v5_lattices(A) &  (v6_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) & v1_robbins4(A)) ) ) ) ) ) ) ) ).
fof(cc5_robbins4, axiom,  (! [A] :  (l4_robbins1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v5_lattices(A) &  (v6_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) & v1_robbins4(A)) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v5_lattices(A) &  (v6_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) & v2_robbins4(A)) ) ) ) ) ) ) ) ).
fof(cc6_robbins4, axiom,  (! [A] :  (l4_robbins1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v12_lattices(A) &  (v10_robbins1(A) &  (v8_robbins3(A) & v9_robbins3(A)) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v10_robbins1(A) &  (v8_robbins3(A) &  (v9_robbins3(A) & v1_robbins4(A)) ) ) ) ) ) ) ) ).
fof(rc2_robbins4, axiom,  (? [A] :  (l4_robbins1(A) &  ( ~ (v2_struct_0(A))  &  (v4_lattices(A) &  (v5_lattices(A) &  (v6_lattices(A) &  (v7_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v10_lattices(A) &  (v13_lattices(A) &  (v14_lattices(A) &  (v15_lattices(A) &  (v10_robbins1(A) &  (v1_robbins3(A) &  (v2_robbins3(A) &  (v3_robbins3(A) &  (v8_robbins3(A) &  (v9_robbins3(A) & v1_robbins4(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc2_robbins4, axiom,  ~ (v2_struct_0(k1_robbins4)) ).
fof(fc3_robbins4, axiom,  (v3_orders_2(k1_robbins4) &  (v4_orders_2(k1_robbins4) & v5_orders_2(k1_robbins4)) ) ).
fof(fc4_robbins4, axiom,  (v1_lattice3(k1_robbins4) & v2_lattice3(k1_robbins4)) ).
fof(fc5_robbins4, axiom,  ( ~ (v2_struct_0(k2_robbins4))  & v4_robbins1(k2_robbins4)) ).
fof(fc6_robbins4, axiom,  (v10_lattices(k2_robbins4) & v4_robbins1(k2_robbins4)) ).
fof(fc7_robbins4, axiom,  (v13_lattices(k2_robbins4) & v4_robbins1(k2_robbins4)) ).
fof(fc8_robbins4, axiom,  (v14_lattices(k2_robbins4) & v4_robbins1(k2_robbins4)) ).
fof(fc9_robbins4, axiom,  (v4_robbins1(k2_robbins4) &  (v10_robbins1(k2_robbins4) &  (v8_robbins3(k2_robbins4) & v9_robbins3(k2_robbins4)) ) ) ).
fof(fc10_robbins4, axiom,  (v4_robbins1(k2_robbins4) &  ~ (v1_robbins4(k2_robbins4)) ) ).
fof(cc7_robbins4, axiom,  (! [A] :  (l4_robbins1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v10_robbins1(A) &  (v1_robbins3(A) &  (v3_robbins3(A) & v1_robbins4(A)) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v10_robbins1(A) &  (v1_robbins3(A) &  (v3_robbins3(A) &  (v9_robbins3(A) & v1_robbins4(A)) ) ) ) ) ) ) ) ) ).
fof(t1_robbins4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) & l3_lattices(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v10_lattices(B) & l3_lattices(B)) )  =>  (g3_lattices(u1_struct_0(A), u2_lattices(A), u1_lattices(A))=g3_lattices(u1_struct_0(B), u2_lattices(B), u1_lattices(B)) => k3_lattice3(A)=k3_lattice3(B)) ) ) ) ) ).
fof(t2_robbins4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v10_robbins1(A) &  (v8_robbins3(A) &  (v9_robbins3(A) & l4_robbins1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (k3_lattices(A, B, k3_robbins1(A, B))=k6_lattices(A) & k4_lattices(A, B, k3_robbins1(A, B))=k5_lattices(A)) ) ) ) ) ).
fof(t3_robbins4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_robbins1(A))  =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v10_robbins1(A) &  (v8_robbins3(A) &  (v9_robbins3(A) & l4_robbins1(A)) ) ) ) )  <=>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_lattices(A, k1_lattices(A, B, C), D)=k1_lattices(A, k3_robbins1(A, k2_lattices(A, k3_robbins1(A, D), k3_robbins1(A, C))), B)) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => B=k2_lattices(A, B, k1_lattices(A, B, C))) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => B=k1_lattices(A, B, k2_lattices(A, C, k3_robbins1(A, C)))) ) ) ) ) ) ) ) ) ).
fof(t4_robbins4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v8_robbins3(A) & l4_robbins1(A)) ) )  =>  (v10_robbins1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_lattices(A, B, C) => r3_lattices(A, k3_robbins1(A, C), k3_robbins1(A, B))) ) ) ) ) ) ) ) ).
fof(d1_robbins4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_robbins1(A))  =>  (v1_robbins4(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_lattices(A, B, C) => C=k1_lattices(A, B, k2_lattices(A, k3_robbins1(A, B), C))) ) ) ) ) ) ) ) ).
fof(t5_robbins4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v12_lattices(A) &  (v10_robbins1(A) &  (v8_robbins3(A) &  (v9_robbins3(A) & l4_robbins1(A)) ) ) ) ) )  => v1_robbins4(A)) ) ).
fof(t6_robbins4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_lattices(A) &  (v6_lattices(A) &  (v8_lattices(A) &  (v9_lattices(A) &  (v1_robbins4(A) & l4_robbins1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_lattices(A, B, k4_lattices(A, k3_robbins1(A, B), k1_lattices(A, B, C)))=k1_lattices(A, B, C)) ) ) ) ) ) ).
fof(d2_robbins4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_robbins1(A))  =>  (v2_robbins4(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_lattices(A, B, k2_lattices(A, k3_robbins1(A, B), k1_lattices(A, B, C)))=k1_lattices(A, B, C)) ) ) ) ) ) ) ).
fof(d3_robbins4, axiom, k1_robbins4=k1_yellow_1(k4_enumset1(k5_numbers, 1, k6_subset_1(3, 1), 2, k6_subset_1(3, 2), 3))).
fof(t7_robbins4, axiom, u1_struct_0(k14_lattice3(k1_robbins4))=k4_enumset1(k5_numbers, 1, k6_subset_1(3, 1), 2, k6_subset_1(3, 2), 3)).
fof(t8_robbins4, axiom,  (! [A] :  (r2_tarski(A, u1_struct_0(k14_lattice3(k1_robbins4))) => r1_tarski(A, k5_card_1(3))) ) ).
fof(d4_robbins4, axiom,  (! [A] :  ( (v4_robbins1(A) & l4_robbins1(A))  =>  (A=k2_robbins4 <=>  (g3_lattices(u1_struct_0(A), u2_lattices(A), u1_lattices(A))=k14_lattice3(k1_robbins4) &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(3)) =>  (B=C => k1_funct_1(u1_robbins1(A), B)=k3_subset_1(3, C)) ) ) ) ) ) ) ) ) ).
fof(t9_robbins4, axiom, u1_struct_0(k2_robbins4)=k4_enumset1(k5_numbers, 1, k6_subset_1(3, 1), 2, k6_subset_1(3, 2), 3)).
fof(t10_robbins4, axiom, r1_tarski(u1_struct_0(k2_robbins4), k1_zfmisc_1(3))).
fof(t11_robbins4, axiom,  (! [A] :  (r2_tarski(A, u1_struct_0(k2_robbins4)) => r1_tarski(A, k1_enumset1(k5_numbers, 1, 2))) ) ).
fof(t12_robbins4, axiom, k3_lattice3(g3_lattices(u1_struct_0(k2_robbins4), u2_lattices(k2_robbins4), u1_lattices(k2_robbins4)))=k1_robbins4).
fof(t13_robbins4, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_robbins4)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_robbins4)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_robbins4)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_robbins4)) =>  ( (A=C & B=D)  =>  (r3_orders_2(k1_robbins4, A, B) <=> r3_lattices(k2_robbins4, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t14_robbins4, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_robbins4)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_robbins4)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_robbins4)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k2_robbins4)) =>  ( (A=C & B=D)  =>  (k13_lattice3(k1_robbins4, A, B)=k3_lattices(k2_robbins4, C, D) & k12_lattice3(k1_robbins4, A, B)=k4_lattices(k2_robbins4, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t15_robbins4, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_robbins4)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_robbins4)) =>  ( (A=k6_subset_1(3, 1) & B=2)  =>  (k13_lattice3(k1_robbins4, A, B)=3 & k12_lattice3(k1_robbins4, A, B)=k5_numbers) ) ) ) ) ) ).
fof(t16_robbins4, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_robbins4)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_robbins4)) =>  ( (A=k6_subset_1(3, 2) & B=1)  =>  (k13_lattice3(k1_robbins4, A, B)=3 & k12_lattice3(k1_robbins4, A, B)=k5_numbers) ) ) ) ) ) ).
fof(t17_robbins4, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_robbins4)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_robbins4)) =>  ( (A=k6_subset_1(3, 1) & B=1)  =>  (k13_lattice3(k1_robbins4, A, B)=3 & k12_lattice3(k1_robbins4, A, B)=k5_numbers) ) ) ) ) ) ).
fof(t18_robbins4, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_robbins4)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_robbins4)) =>  ( (A=k6_subset_1(3, 2) & B=2)  =>  (k13_lattice3(k1_robbins4, A, B)=3 & k12_lattice3(k1_robbins4, A, B)=k5_numbers) ) ) ) ) ) ).
fof(t19_robbins4, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_robbins4)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_robbins4)) =>  ( (A=k6_subset_1(3, 1) & B=2)  =>  (k3_lattices(k2_robbins4, A, B)=3 & k4_lattices(k2_robbins4, A, B)=k5_numbers) ) ) ) ) ) ).
fof(t20_robbins4, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_robbins4)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_robbins4)) =>  ( (A=k6_subset_1(3, 2) & B=1)  => k3_lattices(k2_robbins4, A, B)=3) ) ) ) ) ).
fof(t21_robbins4, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_robbins4)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_robbins4)) =>  ( (A=k6_subset_1(3, 1) & B=1)  => k3_lattices(k2_robbins4, A, B)=3) ) ) ) ) ).
fof(t22_robbins4, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_robbins4)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_robbins4)) =>  ( (A=k6_subset_1(3, 2) & B=2)  => k3_lattices(k2_robbins4, A, B)=3) ) ) ) ) ).
fof(t23_robbins4, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_robbins4)) =>  ( (A=k5_numbers => k3_robbins1(k2_robbins4, A)=3)  &  ( (A=3 => k3_robbins1(k2_robbins4, A)=k5_numbers)  &  ( (A=1 => k3_robbins1(k2_robbins4, A)=k6_subset_1(3, 1))  &  ( (A=k6_subset_1(3, 1) => k3_robbins1(k2_robbins4, A)=1)  &  ( (A=2 => k3_robbins1(k2_robbins4, A)=k6_subset_1(3, 2))  &  (A=k6_subset_1(3, 2) => k3_robbins1(k2_robbins4, A)=2) ) ) ) ) ) ) ) ).
fof(t24_robbins4, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_robbins4)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_robbins4)) =>  (r3_lattices(k2_robbins4, A, B) <=> r1_tarski(A, B)) ) ) ) ) ).
fof(t25_robbins4, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_robbins4)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_robbins4)) =>  (A=k5_numbers => k4_lattices(k2_robbins4, A, B)=A) ) ) ) ) ).
fof(t26_robbins4, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_robbins4)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_robbins4)) =>  (A=k5_numbers => k3_lattices(k2_robbins4, A, B)=B) ) ) ) ) ).
fof(t27_robbins4, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k2_robbins4)) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_robbins4)) =>  (A=3 => k3_lattices(k2_robbins4, A, B)=A) ) ) ) ) ).
fof(t28_robbins4, axiom, k6_lattices(k2_robbins4)=3).
fof(t29_robbins4, axiom, k5_lattices(k2_robbins4)=k5_numbers).
fof(d5_robbins4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v10_robbins1(A) &  (v8_robbins3(A) &  (v9_robbins3(A) & l4_robbins1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_robbins4(A, B, C) <=> r3_lattices(A, B, k3_robbins1(A, C))) ) ) ) ) ) ) ).
fof(t30_robbins4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v10_robbins1(A) &  (v8_robbins3(A) &  (v9_robbins3(A) & l4_robbins1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (r1_robbins4(A, B, B) <=> B=k5_lattices(A)) ) ) ) ) ).
fof(t31_robbins4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v10_robbins1(A) &  (v8_robbins3(A) &  (v9_robbins3(A) & l4_robbins1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r1_robbins4(A, B, C) & r1_robbins4(A, B, D))  =>  (r1_robbins4(A, B, k4_lattices(A, C, D)) & r1_robbins4(A, B, k3_lattices(A, C, D))) ) ) ) ) ) ) ) ) ) ).
fof(t32_robbins4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v10_robbins1(A) &  (v8_robbins3(A) &  (v9_robbins3(A) & l4_robbins1(A)) ) ) ) )  =>  (v1_robbins4(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (r3_lattices(A, k3_robbins1(A, C), B) & k4_lattices(A, B, C)=k5_lattices(A))  => B=k3_robbins1(A, C)) ) ) ) ) ) ) ) ).
fof(t33_robbins4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v10_robbins1(A) &  (v8_robbins3(A) &  (v9_robbins3(A) & l4_robbins1(A)) ) ) ) )  =>  (v1_robbins4(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (r1_robbins4(A, B, C) & k3_lattices(A, B, C)=k6_lattices(A))  => B=k3_robbins1(A, C)) ) ) ) ) ) ) ) ).
fof(t34_robbins4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v10_robbins1(A) &  (v8_robbins3(A) &  (v9_robbins3(A) & l4_robbins1(A)) ) ) ) )  =>  (v1_robbins4(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_lattices(A, C, B) => k4_lattices(A, B, k3_lattices(A, k3_robbins1(A, B), C))=C) ) ) ) ) ) ) ) ).
fof(t35_robbins4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v10_robbins1(A) &  (v8_robbins3(A) &  (v9_robbins3(A) & l4_robbins1(A)) ) ) ) )  =>  (v1_robbins4(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k4_lattices(A, B, k3_lattices(A, k3_robbins1(A, B), k4_lattices(A, B, C)))=k4_lattices(A, B, C)) ) ) ) ) ) ) ).
fof(t36_robbins4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v10_robbins1(A) &  (v8_robbins3(A) &  (v9_robbins3(A) & l4_robbins1(A)) ) ) ) )  =>  (v1_robbins4(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_lattices(A, B, C)=k3_lattices(A, k4_lattices(A, k3_lattices(A, B, C), B), k4_lattices(A, k3_lattices(A, B, C), k3_robbins1(A, B)))) ) ) ) ) ) ) ).
fof(t37_robbins4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v10_robbins1(A) &  (v8_robbins3(A) &  (v9_robbins3(A) & l4_robbins1(A)) ) ) ) )  =>  (v1_robbins4(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r3_lattices(A, B, C) => k4_lattices(A, k3_lattices(A, B, C), k3_lattices(A, C, k3_robbins1(A, B)))=k3_lattices(A, k4_lattices(A, B, C), k4_lattices(A, C, k3_robbins1(A, B)))) ) ) ) ) ) ) ) ).
fof(t38_robbins4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_robbins1(A))  =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v10_robbins1(A) &  (v8_robbins3(A) &  (v9_robbins3(A) &  (v1_robbins4(A) & l4_robbins1(A)) ) ) ) ) )  <=>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_lattices(A, k1_lattices(A, B, C), D)=k1_lattices(A, k3_robbins1(A, k2_lattices(A, k3_robbins1(A, D), k3_robbins1(A, C))), B)) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k1_lattices(A, B, C)=k1_lattices(A, k2_lattices(A, k1_lattices(A, B, C), k1_lattices(A, B, D)), k2_lattices(A, k1_lattices(A, B, C), k3_robbins1(A, B)))) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => B=k1_lattices(A, B, k2_lattices(A, C, k3_robbins1(A, C)))) ) ) ) ) ) ) ) ) ).
fof(t39_robbins4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l4_robbins1(A))  =>  ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v10_robbins1(A) &  (v8_robbins3(A) &  (v9_robbins3(A) &  (v1_robbins4(A) & l4_robbins1(A)) ) ) ) ) )  <=>  (v1_robbins3(A) &  (v3_robbins3(A) &  (v10_robbins1(A) & v2_robbins4(A)) ) ) ) ) ) ).
fof(dt_k1_robbins4, axiom, l1_orders_2(k1_robbins4)).
fof(dt_k2_robbins4, axiom,  (v4_robbins1(k2_robbins4) & l4_robbins1(k2_robbins4)) ).
fof(symmetry_r2_robbins4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v10_robbins1(A) &  (v8_robbins3(A) &  (v9_robbins3(A) & l4_robbins1(A)) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r2_robbins4(A, B, C) => r2_robbins4(A, C, B)) ) ) ).
fof(redefinition_r2_robbins4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v10_lattices(A) &  (v10_robbins1(A) &  (v8_robbins3(A) &  (v9_robbins3(A) & l4_robbins1(A)) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r2_robbins4(A, B, C) <=> r1_robbins4(A, B, C)) ) ) ).
fof(t1_rolle, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(B, A))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ~ ( (r1_tarski(k1_rcomp_1(A, B), k1_relset_1(k1_numbers, C)) &  (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, k1_rcomp_1(A, B))) &  (k1_funct_1(C, A)=k1_funct_1(C, B) &  (r2_fdiff_1(C, k2_rcomp_1(A, B)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( (r2_hidden(D, k2_rcomp_1(A, B)) & k1_fdiff_1(C, D)=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_rolle, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ~ ( (r1_tarski(k1_rcomp_1(A, k2_xcmplx_0(A, B)), k1_relset_1(k1_numbers, C)) &  (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, k1_rcomp_1(A, k2_xcmplx_0(A, B)))) &  (k1_funct_1(C, A)=k1_funct_1(C, k2_xcmplx_0(A, B)) &  (r2_fdiff_1(C, k2_rcomp_1(A, k2_xcmplx_0(A, B))) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  ( ~ (r1_xxreal_0(1, D))  & k1_fdiff_1(C, k2_xcmplx_0(A, k3_xcmplx_0(D, B)))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_rolle, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(B, A))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ~ ( (r1_tarski(k1_rcomp_1(A, B), k1_relset_1(k1_numbers, C)) &  (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, k1_rcomp_1(A, B))) &  (r2_fdiff_1(C, k2_rcomp_1(A, B)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( (r2_hidden(D, k2_rcomp_1(A, B)) & k1_fdiff_1(C, D)=k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(C, B), k1_funct_1(C, A)), k6_xcmplx_0(B, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_rolle, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ~ ( (r1_tarski(k1_rcomp_1(A, k2_xcmplx_0(A, B)), k1_relset_1(k1_numbers, C)) &  (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, k1_rcomp_1(A, k2_xcmplx_0(A, B)))) &  (r2_fdiff_1(C, k2_rcomp_1(A, k2_xcmplx_0(A, B))) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  ( ~ (r1_xxreal_0(1, D))  & k1_funct_1(C, k2_xcmplx_0(A, B))=k2_xcmplx_0(k1_funct_1(C, A), k3_xcmplx_0(B, k1_fdiff_1(C, k2_xcmplx_0(A, k3_xcmplx_0(D, B)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_rolle, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(B, A))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ~ ( (r1_tarski(k1_rcomp_1(A, B), k1_relset_1(k1_numbers, C)) &  (r1_tarski(k1_rcomp_1(A, B), k1_relset_1(k1_numbers, D)) &  (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, k1_rcomp_1(A, B))) &  (r2_fdiff_1(C, k2_rcomp_1(A, B)) &  (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, D, k1_rcomp_1(A, B))) &  (r2_fdiff_1(D, k2_rcomp_1(A, B)) &  (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, k2_rcomp_1(A, B)) & k3_xcmplx_0(k6_xcmplx_0(k1_funct_1(C, B), k1_funct_1(C, A)), k1_fdiff_1(D, E))=k3_xcmplx_0(k6_xcmplx_0(k1_funct_1(D, B), k1_funct_1(D, A)), k1_fdiff_1(C, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_rolle, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( ~ (r1_xxreal_0(B, k5_numbers))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ~ ( (r1_tarski(k1_rcomp_1(A, k2_xcmplx_0(A, B)), k1_relset_1(k1_numbers, C)) &  (r1_tarski(k1_rcomp_1(A, k2_xcmplx_0(A, B)), k1_relset_1(k1_numbers, D)) &  (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, C, k1_rcomp_1(A, k2_xcmplx_0(A, B)))) &  (r2_fdiff_1(C, k2_rcomp_1(A, k2_xcmplx_0(A, B))) &  (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, D, k1_rcomp_1(A, k2_xcmplx_0(A, B)))) &  (r2_fdiff_1(D, k2_rcomp_1(A, k2_xcmplx_0(A, B))) &  ( (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, k2_rcomp_1(A, k2_xcmplx_0(A, B))) & k1_fdiff_1(D, E)=k5_numbers) ) ) )  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  ( ~ (r1_xxreal_0(1, E))  & k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(C, k2_xcmplx_0(A, B)), k1_funct_1(C, A)), k6_xcmplx_0(k1_funct_1(D, k2_xcmplx_0(A, B)), k1_funct_1(D, A)))=k7_xcmplx_0(k1_fdiff_1(C, k2_xcmplx_0(A, k3_xcmplx_0(E, B))), k1_fdiff_1(D, k2_xcmplx_0(A, k3_xcmplx_0(E, B))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_rolle, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(k2_rcomp_1(A, B), k1_relset_1(k1_numbers, C)) &  (r2_fdiff_1(C, k2_rcomp_1(A, B)) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, k2_rcomp_1(A, B)) => k1_fdiff_1(C, D)=k5_numbers) ) ) ) )  => v3_funct_1(k2_partfun1(k1_numbers, k1_numbers, C, k2_rcomp_1(A, B)))) ) ) ) ) ) ) ).
fof(t8_rolle, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r2_fdiff_1(C, k2_rcomp_1(A, B)) &  (r2_fdiff_1(D, k2_rcomp_1(A, B)) &  (! [E] :  (v1_xreal_0(E) =>  (r2_hidden(E, k2_rcomp_1(A, B)) => k1_fdiff_1(C, E)=k1_fdiff_1(D, E)) ) ) ) )  =>  (v3_funct_1(k2_partfun1(k1_numbers, k1_numbers, k47_valued_1(k1_numbers, k1_numbers, k1_numbers, C, D), k2_rcomp_1(A, B))) &  (? [E] :  (v1_xreal_0(E) &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, k2_rcomp_1(A, B)) => k1_funct_1(C, F)=k2_xcmplx_0(k1_funct_1(D, F), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_rolle, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(k2_rcomp_1(A, B), k1_relset_1(k1_numbers, C)) &  (r2_fdiff_1(C, k2_rcomp_1(A, B)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( (r2_hidden(D, k2_rcomp_1(A, B)) & r1_xxreal_0(k1_fdiff_1(C, D), k5_numbers)) ) ) ) ) )  => v5_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, k2_rcomp_1(A, B)))) ) ) ) ) ) ) ).
fof(t10_rolle, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(k2_rcomp_1(A, B), k1_relset_1(k1_numbers, C)) &  (r2_fdiff_1(C, k2_rcomp_1(A, B)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( (r2_hidden(D, k2_rcomp_1(A, B)) & r1_xxreal_0(k5_numbers, k1_fdiff_1(C, D))) ) ) ) ) )  => v6_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, k2_rcomp_1(A, B)))) ) ) ) ) ) ) ).
fof(t11_rolle, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(k2_rcomp_1(A, B), k1_relset_1(k1_numbers, C)) &  (r2_fdiff_1(C, k2_rcomp_1(A, B)) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, k2_rcomp_1(A, B)) => r1_xxreal_0(k5_numbers, k1_fdiff_1(C, D))) ) ) ) )  => v7_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, k2_rcomp_1(A, B)))) ) ) ) ) ) ) ).
fof(t12_rolle, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(k2_rcomp_1(A, B), k1_relset_1(k1_numbers, C)) &  (r2_fdiff_1(C, k2_rcomp_1(A, B)) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, k2_rcomp_1(A, B)) => r1_xxreal_0(k1_fdiff_1(C, D), k5_numbers)) ) ) ) )  => v8_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, k2_rcomp_1(A, B)))) ) ) ) ) ) ) ).
fof(fc1_roughs_1, axiom,  (! [A] :  (v1_orders_2(g1_orders_2(A, k6_partfun1(A))) & v1_orders_3(g1_orders_2(A, k6_partfun1(A)))) ) ).
fof(fc2_roughs_1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  (v1_orders_2(g1_orders_2(A, k1_eqrel_1(A))) &  ~ (v1_roughs_1(g1_orders_2(A, k1_eqrel_1(A)))) ) ) ) ).
fof(cc1_roughs_1, axiom,  (! [A] :  (l1_orders_2(A) =>  ( (v3_orders_2(A) &  ~ (v1_orders_3(A)) )  =>  ( ~ (v7_struct_0(A))  & v3_orders_2(A)) ) ) ) ).
fof(cc2_roughs_1, axiom,  (! [A] :  (l1_orders_2(A) =>  ( (v7_struct_0(A) & v3_orders_2(A))  => v1_orders_3(A)) ) ) ).
fof(cc3_roughs_1, axiom,  (! [A] :  (l1_orders_2(A) =>  (v1_orders_3(A) => v1_roughs_1(A)) ) ) ).
fof(cc4_roughs_1, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ~ (v1_roughs_1(A))  =>  ~ (v1_orders_3(A)) ) ) ) ).
fof(rc1_roughs_1, axiom,  (? [A] :  (l1_orders_2(A) &  ( ~ (v2_struct_0(A))  &  ~ (v1_roughs_1(A)) ) ) ) ).
fof(cc5_roughs_1, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_prob_2(A)) ) ) ) ).
fof(rc2_roughs_1, axiom,  (! [A] :  (? [B] :  (m1_finseq_1(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_prob_2(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ) ).
fof(rc3_roughs_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_finseq_1(B, A) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_prob_2(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc3_roughs_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (v8_struct_0(g1_orders_2(A, B)) & v1_orders_2(g1_orders_2(A, B))) ) ) ).
fof(cc6_roughs_1, axiom,  (! [A] :  (l1_orders_2(A) =>  (v2_roughs_1(A) => v3_roughs_1(A)) ) ) ).
fof(fc4_roughs_1, axiom,  (! [A] :  (v1_orders_2(g1_orders_2(A, k6_partfun1(A))) & v2_roughs_1(g1_orders_2(A, k6_partfun1(A)))) ) ).
fof(rc4_roughs_1, axiom,  (? [A] :  (l1_orders_2(A) &  ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v1_orders_3(A) & v2_roughs_1(A)) ) ) ) ) ).
fof(rc5_roughs_1, axiom,  (? [A] :  (l1_orders_2(A) &  ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  ( ~ (v1_roughs_1(A))  & v2_roughs_1(A)) ) ) ) ) ).
fof(fc5_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (v1_relat_2(u1_orders_2(A)) &  (v3_relat_2(u1_orders_2(A)) & v1_partfun1(u1_orders_2(A), u1_struct_0(A))) ) ) ) ).
fof(fc6_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_roughs_1(A) & l1_orders_2(A)) )  => v8_relat_2(u1_orders_2(A))) ) ).
fof(rc6_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ~ (v4_roughs_1(B, A)) ) ) ) ) ).
fof(fc7_roughs_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_roughs_1(A) & l1_orders_2(A)) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ (v4_roughs_1(k3_roughs_1(A, B), A)) ) ) ).
fof(fc8_roughs_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_roughs_1(A) & l1_orders_2(A)) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ (v4_roughs_1(k4_roughs_1(A, B), A)) ) ) ).
fof(rc7_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v1_roughs_1(A))  &  (v2_roughs_1(A) & l1_orders_2(A)) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v4_roughs_1(B, A)) ) ) ) ).
fof(fc9_roughs_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v3_roughs_1(A) & l1_orders_2(A)) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  ( ~ (v1_xboole_0(k1_card_1(k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), u1_orders_2(A), B))))  & v1_card_1(k1_card_1(k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), u1_orders_2(A), B)))) ) ) ).
fof(cc7_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_orders_3(A) &  (v2_roughs_1(A) & l1_orders_2(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ (v4_roughs_1(B, A)) ) ) ) ) ).
fof(t1_roughs_1, axiom,  (! [A] :  (r1_relset_1(A, A, k1_eqrel_1(A), k6_partfun1(A)) => v1_zfmisc_1(A)) ) ).
fof(d1_roughs_1, axiom,  (! [A] :  (l1_orders_2(A) =>  (v1_roughs_1(A) <=> r1_relset_1(u1_struct_0(A), u1_struct_0(A), u1_orders_2(A), k6_partfun1(u1_struct_0(A)))) ) ) ).
fof(t2_roughs_1, axiom,  (! [A] :  ( (v3_orders_2(A) & l1_orders_2(A))  => r1_relset_1(u1_struct_0(A), u1_struct_0(A), k6_partfun1(u1_struct_0(A)), u1_orders_2(A))) ) ).
fof(t3_roughs_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  => r1_relset_1(A, A, k6_partfun1(A), B)) ) ) ).
fof(t4_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v1_roughs_1(A))  & l1_orders_2(A)) )  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  ( ~ (B=C)  & r2_tarski(k1_domain_1(u1_struct_0(A), u1_struct_0(A), B, C), u1_orders_2(A))) ) ) ) ) ) ) ).
fof(t5_roughs_1, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) => k3_card_3(k8_finseq_1(A, B, C))=k2_xboole_0(k3_card_3(B), k3_card_3(C))) ) ) ) ) ).
fof(t6_roughs_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (v1_prob_2(B) & r1_tarski(A, B))  => v1_prob_2(A)) ) ) ) ) ).
fof(t7_roughs_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_2(D) &  (v3_relat_2(D) &  (v1_partfun1(D, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (r2_hidden(B, k6_eqrel_1(A, A, D, C)) => r2_hidden(C, k6_eqrel_1(A, A, D, B))) ) ) ) ) ) ).
fof(d2_roughs_1, axiom,  (! [A] :  (l1_orders_2(A) =>  (v2_roughs_1(A) <=>  (v3_relat_2(u1_orders_2(A)) &  (v8_relat_2(u1_orders_2(A)) &  (v1_partfun1(u1_orders_2(A), u1_struct_0(A)) & m1_subset_1(u1_orders_2(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ) ) ).
fof(d3_roughs_1, axiom,  (! [A] :  (l1_orders_2(A) =>  (v3_roughs_1(A) <=>  (v1_relat_2(u1_orders_2(A)) &  (v3_relat_2(u1_orders_2(A)) &  (v1_partfun1(u1_orders_2(A), u1_struct_0(A)) & m1_subset_1(u1_orders_2(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ) ) ).
fof(d6_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k5_roughs_1(A, B)=k7_subset_1(u1_struct_0(A), k4_roughs_1(A, B), k3_roughs_1(A, B))) ) ) ) ).
fof(d7_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v4_roughs_1(B, A) <=>  ~ (k5_roughs_1(A, B)=k1_xboole_0) ) ) ) ) ) ).
fof(t8_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (r2_hidden(C, k3_roughs_1(A, B)) => r1_tarski(k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), u1_orders_2(A), C), B)) ) ) ) ) ) ).
fof(t9_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_tarski(k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), u1_orders_2(A), C), B) => r2_tarski(C, k3_roughs_1(A, B))) ) ) ) ) ) ) ).
fof(t10_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ~ ( (r2_tarski(C, k4_roughs_1(A, B)) & r1_xboole_0(k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), u1_orders_2(A), C), B)) ) ) ) ) ) ) ).
fof(t11_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ~ (r1_xboole_0(k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), u1_orders_2(A), C), B))  => r2_tarski(C, k4_roughs_1(A, B))) ) ) ) ) ) ) ).
fof(t12_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k3_roughs_1(A, B), B)) ) ) ) ).
fof(t13_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(B, k4_roughs_1(A, B))) ) ) ) ).
fof(t14_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k3_roughs_1(A, B), k4_roughs_1(A, B))) ) ) ) ).
fof(t15_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ~ (v4_roughs_1(B, A))  <=> k3_roughs_1(A, B)=B) ) ) ) ) ).
fof(t16_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ~ (v4_roughs_1(B, A))  <=> k4_roughs_1(A, B)=B) ) ) ) ) ).
fof(t17_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (B=k3_roughs_1(A, B) <=> B=k4_roughs_1(A, B)) ) ) ) ) ).
fof(t18_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  => k3_roughs_1(A, k1_struct_0(A))=k1_xboole_0) ) ).
fof(t19_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  => k4_roughs_1(A, k1_struct_0(A))=k1_xboole_0) ) ).
fof(t20_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  => k3_roughs_1(A, k2_struct_0(A))=k2_struct_0(A)) ) ).
fof(t21_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  => k4_roughs_1(A, k2_struct_0(A))=k2_struct_0(A)) ) ).
fof(t22_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k3_roughs_1(A, k9_subset_1(u1_struct_0(A), B, C))=k9_subset_1(u1_struct_0(A), k3_roughs_1(A, B), k3_roughs_1(A, C))) ) ) ) ) ) ).
fof(t23_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k4_roughs_1(A, k4_subset_1(u1_struct_0(A), B, C))=k4_subset_1(u1_struct_0(A), k4_roughs_1(A, B), k4_roughs_1(A, C))) ) ) ) ) ) ).
fof(t24_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(B, C) => r1_tarski(k3_roughs_1(A, B), k3_roughs_1(A, C))) ) ) ) ) ) ) ).
fof(t25_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(B, C) => r1_tarski(k4_roughs_1(A, B), k4_roughs_1(A, C))) ) ) ) ) ) ) ).
fof(t26_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k4_subset_1(u1_struct_0(A), k3_roughs_1(A, B), k3_roughs_1(A, C)), k3_roughs_1(A, k4_subset_1(u1_struct_0(A), B, C)))) ) ) ) ) ) ).
fof(t27_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k4_roughs_1(A, k9_subset_1(u1_struct_0(A), B, C)), k9_subset_1(u1_struct_0(A), k4_roughs_1(A, B), k4_roughs_1(A, C)))) ) ) ) ) ) ).
fof(t28_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k3_roughs_1(A, k3_subset_1(u1_struct_0(A), B))=k3_subset_1(u1_struct_0(A), k4_roughs_1(A, B))) ) ) ) ).
fof(t29_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k4_roughs_1(A, k3_subset_1(u1_struct_0(A), B))=k3_subset_1(u1_struct_0(A), k3_roughs_1(A, B))) ) ) ) ).
fof(t30_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k4_roughs_1(A, k3_roughs_1(A, k4_roughs_1(A, B)))=k4_roughs_1(A, B)) ) ) ) ).
fof(t31_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k3_roughs_1(A, k4_roughs_1(A, k3_roughs_1(A, B)))=k3_roughs_1(A, B)) ) ) ) ).
fof(t32_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k5_roughs_1(A, B)=k5_roughs_1(A, k3_subset_1(u1_struct_0(A), B))) ) ) ) ).
fof(t33_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k3_roughs_1(A, k3_roughs_1(A, B))=k3_roughs_1(A, B)) ) ) ) ).
fof(t34_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k3_roughs_1(A, k3_roughs_1(A, B))=k4_roughs_1(A, k3_roughs_1(A, B))) ) ) ) ).
fof(t35_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k4_roughs_1(A, k4_roughs_1(A, B))=k4_roughs_1(A, B)) ) ) ) ).
fof(t36_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k4_roughs_1(A, k4_roughs_1(A, B))=k3_roughs_1(A, k4_roughs_1(A, B))) ) ) ) ).
fof(t37_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (! [D] :  ( (r2_tarski(C, k4_roughs_1(A, B)) & r2_hidden(k4_tarski(C, D), u1_orders_2(A)))  => r2_tarski(D, k4_roughs_1(A, B))) ) ) ) ) ) ) ).
fof(d8_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_roughs_1(C, A, B) <=> C=k1_domain_1(k1_zfmisc_1(u1_struct_0(A)), k1_zfmisc_1(u1_struct_0(A)), k3_roughs_1(A, B), k4_roughs_1(A, B))) ) ) ) ) ) ).
fof(d9_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v3_roughs_1(A) & l1_orders_2(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (C=k6_roughs_1(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k1_numbers, C, D)=k7_xcmplx_0(k4_card_1(k9_subset_1(u1_struct_0(A), B, k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), u1_orders_2(A), D))), k4_card_1(k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), u1_orders_2(A), D)))) ) ) ) ) ) ) ) ) ).
fof(t38_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v3_roughs_1(A) & l1_orders_2(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_xxreal_0(k5_numbers, k3_funct_2(u1_struct_0(A), k1_numbers, k6_roughs_1(A, B), C)) & r1_xxreal_0(k3_funct_2(u1_struct_0(A), k1_numbers, k6_roughs_1(A, B), C), 1)) ) ) ) ) ) ) ).
fof(t39_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v3_roughs_1(A) & l1_orders_2(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_tarski(k3_funct_2(u1_struct_0(A), k1_numbers, k6_roughs_1(A, B), C), k1_rcomp_1(k5_numbers, 1))) ) ) ) ) ) ).
fof(t40_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_roughs_1(A) & l1_orders_2(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k3_funct_2(u1_struct_0(A), k1_numbers, k6_roughs_1(A, B), C)=1 <=> r2_tarski(C, k3_roughs_1(A, B))) ) ) ) ) ) ) ).
fof(t41_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_roughs_1(A) & l1_orders_2(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (k3_funct_2(u1_struct_0(A), k1_numbers, k6_roughs_1(A, B), C)=k5_numbers <=> r2_tarski(C, k3_subset_1(u1_struct_0(A), k4_roughs_1(A, B)))) ) ) ) ) ) ) ).
fof(t42_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_roughs_1(A) & l1_orders_2(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( ( ~ (r1_xxreal_0(k3_funct_2(u1_struct_0(A), k1_numbers, k6_roughs_1(A, B), C), k5_numbers))  &  ~ (r1_xxreal_0(1, k3_funct_2(u1_struct_0(A), k1_numbers, k6_roughs_1(A, B), C))) )  <=> r2_tarski(C, k5_roughs_1(A, B))) ) ) ) ) ) ) ).
fof(t43_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_orders_3(A) &  (v2_roughs_1(A) & l1_orders_2(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ~ (v4_roughs_1(B, A)) ) ) ) ) ).
fof(t44_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v1_orders_3(A) &  (v2_roughs_1(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => r1_funct_2(u1_struct_0(A), k1_numbers, u1_struct_0(A), k2_tarski(k5_ordinal1, 1), k6_roughs_1(A, B), k5_funct_3(B, u1_struct_0(A)))) ) ) ) ).
fof(t45_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_roughs_1(A) & l1_orders_2(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (! [D] :  (r2_hidden(k4_tarski(C, D), u1_orders_2(A)) => k1_funct_1(k6_roughs_1(A, B), C)=k1_funct_1(k6_roughs_1(A, B), D)) ) ) ) ) ) ) ).
fof(t46_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_roughs_1(A) & l1_orders_2(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k1_numbers, k6_roughs_1(A, k3_subset_1(u1_struct_0(A), B)), C)=k6_xcmplx_0(1, k3_funct_2(u1_struct_0(A), k1_numbers, k6_roughs_1(A, B), C))) ) ) ) ) ) ).
fof(t47_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_roughs_1(A) & l1_orders_2(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_tarski(B, C) => r1_xxreal_0(k3_funct_2(u1_struct_0(A), k1_numbers, k6_roughs_1(A, B), D), k3_funct_2(u1_struct_0(A), k1_numbers, k6_roughs_1(A, C), D))) ) ) ) ) ) ) ) ) ).
fof(t48_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_roughs_1(A) & l1_orders_2(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_xxreal_0(k3_funct_2(u1_struct_0(A), k1_numbers, k6_roughs_1(A, B), D), k3_funct_2(u1_struct_0(A), k1_numbers, k6_roughs_1(A, k4_subset_1(u1_struct_0(A), B, C)), D))) ) ) ) ) ) ) ) ).
fof(t49_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_roughs_1(A) & l1_orders_2(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_xxreal_0(k3_funct_2(u1_struct_0(A), k1_numbers, k6_roughs_1(A, k9_subset_1(u1_struct_0(A), B, C)), D), k3_funct_2(u1_struct_0(A), k1_numbers, k6_roughs_1(A, B), D))) ) ) ) ) ) ) ) ).
fof(t50_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_roughs_1(A) & l1_orders_2(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_xxreal_0(k4_xxreal_0(k3_funct_2(u1_struct_0(A), k1_numbers, k6_roughs_1(A, B), D), k3_funct_2(u1_struct_0(A), k1_numbers, k6_roughs_1(A, C), D)), k3_funct_2(u1_struct_0(A), k1_numbers, k6_roughs_1(A, k4_subset_1(u1_struct_0(A), B, C)), D))) ) ) ) ) ) ) ) ).
fof(t51_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_roughs_1(A) & l1_orders_2(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_xboole_0(B, C) => k3_funct_2(u1_struct_0(A), k1_numbers, k6_roughs_1(A, k4_subset_1(u1_struct_0(A), B, C)), D)=k2_xcmplx_0(k3_funct_2(u1_struct_0(A), k1_numbers, k6_roughs_1(A, B), D), k3_funct_2(u1_struct_0(A), k1_numbers, k6_roughs_1(A, C), D))) ) ) ) ) ) ) ) ) ).
fof(t52_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_roughs_1(A) & l1_orders_2(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) => r1_xxreal_0(k3_funct_2(u1_struct_0(A), k1_numbers, k6_roughs_1(A, k9_subset_1(u1_struct_0(A), B, C)), D), k3_xxreal_0(k3_funct_2(u1_struct_0(A), k1_numbers, k6_roughs_1(A, B), D), k3_funct_2(u1_struct_0(A), k1_numbers, k6_roughs_1(A, C), D)))) ) ) ) ) ) ) ) ).
fof(d10_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v3_roughs_1(A) & l1_orders_2(A)) ) )  =>  (! [B] :  (m2_finseq_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  (D=k7_roughs_1(A, B, C) <=>  (k1_relset_1(k4_ordinal1, D)=k1_relset_1(k4_ordinal1, B) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k1_relset_1(k4_ordinal1, B)) => k1_funct_1(D, E)=k3_funct_2(u1_struct_0(A), k1_numbers, k6_roughs_1(A, k1_roughs_1(u1_struct_0(A), B, E)), C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_roughs_1(A) & l1_orders_2(A)) ) )  =>  (! [B] :  (m2_finseq_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => r2_relset_1(k4_ordinal1, k1_numbers, k7_roughs_1(A, k8_finseq_1(k1_zfmisc_1(u1_struct_0(A)), B, k12_finseq_1(k1_zfmisc_1(u1_struct_0(A)), D)), C), k8_finseq_1(k1_numbers, k7_roughs_1(A, B, C), k12_finseq_1(k1_numbers, k3_funct_2(u1_struct_0(A), k1_numbers, k6_roughs_1(A, D), C))))) ) ) ) ) ) ) ) ).
fof(t54_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_roughs_1(A) & l1_orders_2(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k1_numbers, k6_roughs_1(A, k1_struct_0(A)), B)=k5_numbers) ) ) ) ).
fof(t55_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_roughs_1(A) & l1_orders_2(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_prob_2(C) & m2_finseq_1(C, k1_zfmisc_1(u1_struct_0(A))))  => k3_funct_2(u1_struct_0(A), k1_numbers, k6_roughs_1(A, k2_roughs_1(u1_struct_0(A), C)), B)=k18_rvsum_1(k7_roughs_1(A, C, B))) ) ) ) ) ) ).
fof(d11_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_roughs_1(A, B, C) <=> r1_tarski(k3_roughs_1(A, B), k3_roughs_1(A, C))) ) ) ) ) ) ) ).
fof(d12_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_roughs_1(A, B, C) <=> r1_tarski(k4_roughs_1(A, B), k4_roughs_1(A, C))) ) ) ) ) ) ) ).
fof(d13_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r3_roughs_1(A, B, C) <=>  (r1_roughs_1(A, B, C) & r2_roughs_1(A, B, C)) ) ) ) ) ) ) ) ).
fof(t59_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r1_roughs_1(A, B, C) & r1_roughs_1(A, C, D))  => r1_roughs_1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t60_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r2_roughs_1(A, B, C) & r2_roughs_1(A, C, D))  => r2_roughs_1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(t61_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ( (r3_roughs_1(A, B, C) & r3_roughs_1(A, C, D))  => r3_roughs_1(A, B, D)) ) ) ) ) ) ) ) ) ).
fof(d14_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r4_roughs_1(A, B, C) <=> k3_roughs_1(A, B)=k3_roughs_1(A, C)) ) ) ) ) ) ) ).
fof(d15_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r5_roughs_1(A, B, C) <=> k4_roughs_1(A, B)=k4_roughs_1(A, C)) ) ) ) ) ) ) ).
fof(d16_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r6_roughs_1(A, B, C) <=>  (k3_roughs_1(A, B)=k3_roughs_1(A, C) & k4_roughs_1(A, B)=k4_roughs_1(A, C)) ) ) ) ) ) ) ) ).
fof(d17_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r4_roughs_1(A, B, C) <=>  (r1_roughs_1(A, B, C) & r1_roughs_1(A, C, B)) ) ) ) ) ) ) ) ).
fof(d18_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r5_roughs_1(A, B, C) <=>  (r2_roughs_1(A, B, C) & r2_roughs_1(A, C, B)) ) ) ) ) ) ) ) ).
fof(d19_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r6_roughs_1(A, B, C) <=>  (r4_roughs_1(A, B, C) & r5_roughs_1(A, B, C)) ) ) ) ) ) ) ) ).
fof(dt_k1_roughs_1, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, k1_zfmisc_1(A)) & v7_ordinal1(C))  => m1_subset_1(k1_roughs_1(A, B, C), k1_zfmisc_1(A))) ) ).
fof(redefinition_k1_roughs_1, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, k1_zfmisc_1(A)) & v7_ordinal1(C))  => k1_roughs_1(A, B, C)=k1_funct_1(B, C)) ) ).
fof(dt_k2_roughs_1, axiom,  (! [A, B] :  (m1_finseq_1(B, k1_zfmisc_1(A)) => m1_subset_1(k2_roughs_1(A, B), k1_zfmisc_1(A))) ) ).
fof(redefinition_k2_roughs_1, axiom,  (! [A, B] :  (m1_finseq_1(B, k1_zfmisc_1(A)) => k2_roughs_1(A, B)=k3_card_3(B)) ) ).
fof(dt_k3_roughs_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k3_roughs_1(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k4_roughs_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k4_roughs_1(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k5_roughs_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k5_roughs_1(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(existence_m1_roughs_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_roughs_1(A) & l1_orders_2(A)) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (? [C] : m1_roughs_1(C, A, B)) ) ) ).
fof(dt_k6_roughs_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v3_roughs_1(A) & l1_orders_2(A)) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_funct_1(k6_roughs_1(A, B)) &  (v1_funct_2(k6_roughs_1(A, B), u1_struct_0(A), k1_numbers) & m1_subset_1(k6_roughs_1(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) ).
fof(dt_k7_roughs_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v3_roughs_1(A) & l1_orders_2(A)) ) )  &  (m1_finseq_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, u1_struct_0(A))) )  => m2_finseq_1(k7_roughs_1(A, B, C), k1_numbers)) ) ).
fof(reflexivity_r1_roughs_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => r1_roughs_1(A, B, B)) ) ).
fof(reflexivity_r2_roughs_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => r2_roughs_1(A, B, B)) ) ).
fof(reflexivity_r3_roughs_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => r3_roughs_1(A, B, B)) ) ).
fof(symmetry_r4_roughs_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (r4_roughs_1(A, B, C) => r4_roughs_1(A, C, B)) ) ) ).
fof(reflexivity_r4_roughs_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => r4_roughs_1(A, B, B)) ) ).
fof(symmetry_r5_roughs_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (r5_roughs_1(A, B, C) => r5_roughs_1(A, C, B)) ) ) ).
fof(reflexivity_r5_roughs_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => r5_roughs_1(A, B, B)) ) ).
fof(symmetry_r6_roughs_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (r6_roughs_1(A, B, C) => r6_roughs_1(A, C, B)) ) ) ).
fof(reflexivity_r6_roughs_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_roughs_1(A) & l1_orders_2(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => r6_roughs_1(A, B, B)) ) ).
fof(d4_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k3_roughs_1(A, B)=a_2_0_roughs_1(A, B)) ) ) ) ).
fof(d5_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k4_roughs_1(A, B)=a_2_1_roughs_1(A, B)) ) ) ) ).
fof(t56_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_roughs_1(A) & l1_orders_2(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k3_roughs_1(A, B)=a_2_2_roughs_1(A, B)) ) ) ) ).
fof(t57_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_roughs_1(A) & l1_orders_2(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k4_roughs_1(A, B)=a_2_3_roughs_1(A, B)) ) ) ) ).
fof(t58_roughs_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_roughs_1(A) & l1_orders_2(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k5_roughs_1(A, B)=a_2_4_roughs_1(A, B)) ) ) ) ).
fof(fraenkel_a_2_0_roughs_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_0_roughs_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & r1_tarski(k6_eqrel_1(u1_struct_0(B), u1_struct_0(B), u1_orders_2(B), D), C)) ) ) ) ) ) ).
fof(fraenkel_a_2_1_roughs_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_1_roughs_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D &  ~ (r1_xboole_0(k6_eqrel_1(u1_struct_0(B), u1_struct_0(B), u1_orders_2(B), D), C)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_2_roughs_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v2_roughs_1(B) & l1_orders_2(B)) ) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_2_roughs_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D & k3_funct_2(u1_struct_0(B), k1_numbers, k6_roughs_1(B, C), D)=1) ) ) ) ) ) ).
fof(fraenkel_a_2_3_roughs_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v2_roughs_1(B) & l1_orders_2(B)) ) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_3_roughs_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D &  ~ (r1_xxreal_0(k3_funct_2(u1_struct_0(B), k1_numbers, k6_roughs_1(B, C), D), k5_numbers)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_4_roughs_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  &  (v8_struct_0(B) &  (v2_roughs_1(B) & l1_orders_2(B)) ) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_4_roughs_1(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (A=D &  ( ~ (r1_xxreal_0(k3_funct_2(u1_struct_0(B), k1_numbers, k6_roughs_1(B, C), D), k5_numbers))  &  ~ (r1_xxreal_0(1, k3_funct_2(u1_struct_0(B), k1_numbers, k6_roughs_1(B, C), D))) ) ) ) ) ) ) ) ).
fof(rc1_roughs_2, axiom,  (? [A] :  (l1_orders_2(A) &  ( ~ (v2_struct_0(A))  & v1_yellow_3(A)) ) ) ).
fof(cc1_roughs_2, axiom,  (! [A] :  (l1_orders_2(A) =>  (v3_orders_2(A) => v2_roughs_2(A)) ) ) ).
fof(cc2_roughs_2, axiom,  (! [A] :  (l1_orders_2(A) =>  (v2_orders_2(A) => v2_roughs_2(A)) ) ) ).
fof(cc3_roughs_2, axiom,  (! [A] :  (l1_orders_2(A) =>  (v2_roughs_2(A) => v2_orders_2(A)) ) ) ).
fof(fc1_roughs_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_roughs_2(A) & l1_orders_2(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  ~ (v1_xboole_0(k9_relat_1(u1_orders_2(A), B))) ) ) ).
fof(fc2_roughs_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  ~ (v1_xboole_0(k9_relat_1(u1_orders_2(A), B))) ) ) ).
fof(cc4_roughs_2, axiom,  (! [A] :  (l1_orders_2(A) =>  (v3_orders_2(A) => v4_roughs_2(A)) ) ) ).
fof(rd1_roughs_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  => k3_roughs_1(A, k2_struct_0(A))=k2_struct_0(A)) ) ).
fof(rd2_roughs_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_roughs_2(A) & l1_orders_2(A)) )  => k4_roughs_1(A, k2_struct_0(A))=k2_struct_0(A)) ) ).
fof(rd3_roughs_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_roughs_2(A) & l1_orders_2(A)) )  => k3_roughs_1(A, k1_struct_0(A))=k1_struct_0(A)) ) ).
fof(rd4_roughs_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  => k4_roughs_1(A, k1_struct_0(A))=k1_struct_0(A)) ) ).
fof(fc3_roughs_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k4_relat_1(k1_zfmisc_1(A))) &  (v1_funct_2(k4_relat_1(k1_zfmisc_1(A)), k1_zfmisc_1(A), k1_zfmisc_1(A)) &  (v5_roughs_2(k4_relat_1(k1_zfmisc_1(A))) & v6_roughs_2(k4_relat_1(k1_zfmisc_1(A)), A)) ) ) ) ) ).
fof(rc2_roughs_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A), k1_zfmisc_1(A)))) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k1_zfmisc_1(A)) &  (v5_relat_1(B, k1_zfmisc_1(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, k1_zfmisc_1(A)) &  (v1_funct_2(B, k1_zfmisc_1(A), k1_zfmisc_1(A)) &  (v5_roughs_2(B) & v6_roughs_2(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc4_roughs_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k1_zfmisc_1(A), k1_zfmisc_1(A)) &  (v6_roughs_2(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A), k1_zfmisc_1(A))))) ) ) )  =>  (v1_funct_1(k5_roughs_2(A, B)) &  (v1_funct_2(k5_roughs_2(A, B), k1_zfmisc_1(A), k1_zfmisc_1(A)) & v5_roughs_2(k5_roughs_2(A, B))) ) ) ) ).
fof(fc5_roughs_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k1_zfmisc_1(A), k1_zfmisc_1(A)) &  (v5_roughs_2(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A), k1_zfmisc_1(A))))) ) ) )  =>  (v1_funct_1(k5_roughs_2(A, B)) &  (v1_funct_2(k5_roughs_2(A, B), k1_zfmisc_1(A), k1_zfmisc_1(A)) & v6_roughs_2(k5_roughs_2(A, B), A)) ) ) ) ).
fof(fc6_roughs_2, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (v1_funct_1(k6_roughs_2(A)) &  (v1_funct_2(k6_roughs_2(A), k1_zfmisc_1(u1_struct_0(A)), k1_zfmisc_1(u1_struct_0(A))) & v7_roughs_2(k6_roughs_2(A), A)) ) ) ) ).
fof(fc7_roughs_2, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (v1_funct_1(k7_roughs_2(A)) &  (v1_funct_2(k7_roughs_2(A), k1_zfmisc_1(u1_struct_0(A)), k1_zfmisc_1(u1_struct_0(A))) & v8_roughs_2(k7_roughs_2(A), A)) ) ) ) ).
fof(rc3_roughs_2, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)), k1_zfmisc_1(u1_struct_0(A))))) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k1_zfmisc_1(u1_struct_0(A))) &  (v5_relat_1(B, k1_zfmisc_1(u1_struct_0(A))) &  (v1_funct_1(B) &  (v1_partfun1(B, k1_zfmisc_1(u1_struct_0(A))) &  (v1_funct_2(B, k1_zfmisc_1(u1_struct_0(A)), k1_zfmisc_1(u1_struct_0(A))) & v7_roughs_2(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc4_roughs_2, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)), k1_zfmisc_1(u1_struct_0(A))))) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k1_zfmisc_1(u1_struct_0(A))) &  (v5_relat_1(B, k1_zfmisc_1(u1_struct_0(A))) &  (v1_funct_1(B) &  (v1_partfun1(B, k1_zfmisc_1(u1_struct_0(A))) &  (v1_funct_2(B, k1_zfmisc_1(u1_struct_0(A)), k1_zfmisc_1(u1_struct_0(A))) & v8_roughs_2(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc8_roughs_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v1_funct_1(k6_roughs_2(A)) &  (v1_funct_2(k6_roughs_2(A), k1_zfmisc_1(u1_struct_0(A)), k1_zfmisc_1(u1_struct_0(A))) &  (v5_roughs_2(k6_roughs_2(A)) & v6_roughs_2(k6_roughs_2(A), u1_struct_0(A))) ) ) ) ) ).
fof(fc9_roughs_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v1_funct_1(k7_roughs_2(A)) &  (v1_funct_2(k7_roughs_2(A), k1_zfmisc_1(u1_struct_0(A)), k1_zfmisc_1(u1_struct_0(A))) &  (v5_roughs_2(k7_roughs_2(A)) & v6_roughs_2(k7_roughs_2(A), u1_struct_0(A))) ) ) ) ) ).
fof(t1_roughs_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r2_tarski(B, k1_relat_1(u1_orders_2(A)))) ) ) ) ).
fof(d1_roughs_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r1_roughs_2(A, B) <=>  (! [C] :  ~ ( (r2_hidden(C, B) &  (! [D] :  ~ ( (r2_hidden(D, B) & r2_hidden(k4_tarski(C, D), A)) ) ) ) ) ) ) ) ) ) ).
fof(d2_roughs_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (v1_roughs_2(A) <=> r1_roughs_2(A, k1_relat_1(A))) ) ) ).
fof(d3_roughs_2, axiom,  (! [A] :  (l1_orders_2(A) =>  (v2_roughs_2(A) <=> r1_roughs_2(u1_orders_2(A), u1_struct_0(A))) ) ) ).
fof(d4_roughs_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (v2_roughs_2(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & r1_orders_2(A, B, C)) ) ) ) ) ) ) ).
fof(t4_roughs_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => r2_tarski(B, k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), u1_orders_2(A), B))) ) ) ) ).
fof(d5_roughs_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r2_roughs_2(A, B) <=>  (! [C] :  (! [D] :  ~ ( (r2_hidden(C, B) &  (r2_hidden(D, B) &  (r2_hidden(k4_tarski(C, D), A) &  (! [E] :  ~ ( (r2_hidden(E, B) &  (r2_hidden(k4_tarski(C, E), A) & r2_hidden(k4_tarski(E, D), A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_roughs_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (v3_roughs_2(A) <=> r2_roughs_2(A, k1_relat_1(A))) ) ) ).
fof(d7_roughs_2, axiom,  (! [A] :  (l1_orders_2(A) =>  (v4_roughs_2(A) <=> r2_roughs_2(u1_orders_2(A), u1_struct_0(A))) ) ) ).
fof(t5_roughs_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_tarski(B, k4_roughs_1(A, k6_domain_1(u1_struct_0(A), C))) => r2_tarski(k7_yellow_3(A, A, B, C), u1_orders_2(A))) ) ) ) ) ) ) ).
fof(d8_roughs_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k1_roughs_2(A, B)=k3_subset_1(u1_struct_0(A), k3_roughs_1(A, k3_subset_1(u1_struct_0(A), B)))) ) ) ) ).
fof(d9_roughs_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k2_roughs_2(A, B)=k3_subset_1(u1_struct_0(A), k4_roughs_1(A, k3_subset_1(u1_struct_0(A), B)))) ) ) ) ).
fof(t6_roughs_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (r2_hidden(C, k3_roughs_1(A, B)) => r1_tarski(k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), u1_orders_2(A), C), B)) ) ) ) ) ) ).
fof(t7_roughs_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  ~ ( (r2_tarski(C, k4_roughs_1(A, B)) & r1_xboole_0(k6_eqrel_1(u1_struct_0(A), u1_struct_0(A), u1_orders_2(A), C), B)) ) ) ) ) ) ) ).
fof(t8_roughs_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k1_roughs_2(A, B)=k4_roughs_1(A, B)) ) ) ) ).
fof(t9_roughs_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k2_roughs_2(A, B)=k3_roughs_1(A, B)) ) ) ) ).
fof(t10_roughs_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_yellow_3(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k3_roughs_1(A, B)=k2_struct_0(A)) ) ) ) ).
fof(t11_roughs_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_yellow_3(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k4_roughs_1(A, B)=k1_struct_0(A)) ) ) ) ).
fof(t12_roughs_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k3_roughs_1(A, k9_subset_1(u1_struct_0(A), B, C))=k9_subset_1(u1_struct_0(A), k3_roughs_1(A, B), k3_roughs_1(A, C))) ) ) ) ) ) ).
fof(t13_roughs_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k4_roughs_1(A, k4_subset_1(u1_struct_0(A), B, C))=k4_subset_1(u1_struct_0(A), k4_roughs_1(A, B), k4_roughs_1(A, C))) ) ) ) ) ) ).
fof(t14_roughs_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(B, C) => r1_tarski(k3_roughs_1(A, B), k3_roughs_1(A, C))) ) ) ) ) ) ) ).
fof(t15_roughs_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(B, C) => r1_tarski(k4_roughs_1(A, B), k4_roughs_1(A, C))) ) ) ) ) ) ) ).
fof(t16_roughs_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k3_roughs_1(A, k3_subset_1(u1_struct_0(A), B))=k3_subset_1(u1_struct_0(A), k4_roughs_1(A, B))) ) ) ) ).
fof(t17_roughs_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_roughs_2(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k3_roughs_1(A, B), k4_roughs_1(A, B))) ) ) ) ).
fof(d10_roughs_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_zfmisc_1(u1_struct_0(A)), k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)), k1_zfmisc_1(u1_struct_0(A)))))) )  =>  (B=k3_roughs_2(A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k1_zfmisc_1(u1_struct_0(A)), B, C)=k3_roughs_1(A, C)) ) ) ) ) ) ) ).
fof(d11_roughs_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_zfmisc_1(u1_struct_0(A)), k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)), k1_zfmisc_1(u1_struct_0(A)))))) )  =>  (B=k4_roughs_2(A) <=>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => k3_funct_2(k1_zfmisc_1(u1_struct_0(A)), k1_zfmisc_1(u1_struct_0(A)), B, C)=k4_roughs_1(A, C)) ) ) ) ) ) ) ).
fof(d12_roughs_2, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v5_roughs_2(A) <=> k1_funct_1(A, k1_xboole_0)=k1_xboole_0) ) ) ).
fof(d13_roughs_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_zfmisc_1(A), k1_zfmisc_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A), k1_zfmisc_1(A))))) )  =>  (v6_roughs_2(B, A) <=> k1_funct_1(B, A)=A) ) ) ) ).
fof(d14_roughs_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_zfmisc_1(A), k1_zfmisc_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A), k1_zfmisc_1(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_zfmisc_1(A), k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A), k1_zfmisc_1(A))))) )  =>  (C=k5_roughs_2(A, B) <=>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) => k3_funct_2(k1_zfmisc_1(A), k1_zfmisc_1(A), C, D)=k3_subset_1(A, k3_funct_2(k1_zfmisc_1(A), k1_zfmisc_1(A), B, k3_subset_1(A, D)))) ) ) ) ) ) ) ) ).
fof(t18_roughs_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_zfmisc_1(A), k1_zfmisc_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A), k1_zfmisc_1(A))))) )  =>  (k1_funct_1(B, k1_xboole_0)=k1_xboole_0 => k1_funct_1(k5_roughs_2(A, B), A)=A) ) ) ) ).
fof(t19_roughs_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_zfmisc_1(A), k1_zfmisc_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A), k1_zfmisc_1(A))))) )  =>  (k1_funct_1(B, A)=A => k1_funct_1(k5_roughs_2(A, B), k1_xboole_0)=k1_xboole_0) ) ) ) ).
fof(t20_roughs_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_zfmisc_1(A), k1_zfmisc_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A), k1_zfmisc_1(A))))) )  =>  (r2_funct_2(k1_zfmisc_1(A), k1_zfmisc_1(A), B, k6_partfun1(k1_zfmisc_1(A))) => r2_funct_2(k1_zfmisc_1(A), k1_zfmisc_1(A), k5_roughs_2(A, B), B)) ) ) ) ).
fof(t21_roughs_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_zfmisc_1(A), k1_zfmisc_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A), k1_zfmisc_1(A))))) )  =>  ( (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) => k3_funct_2(k1_zfmisc_1(A), k1_zfmisc_1(A), B, k4_subset_1(A, C, D))=k4_subset_1(A, k3_funct_2(k1_zfmisc_1(A), k1_zfmisc_1(A), B, C), k3_funct_2(k1_zfmisc_1(A), k1_zfmisc_1(A), B, D))) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) => k3_funct_2(k1_zfmisc_1(A), k1_zfmisc_1(A), k5_roughs_2(A, B), k9_subset_1(A, C, D))=k9_subset_1(A, k3_funct_2(k1_zfmisc_1(A), k1_zfmisc_1(A), k5_roughs_2(A, B), C), k3_funct_2(k1_zfmisc_1(A), k1_zfmisc_1(A), k5_roughs_2(A, B), D))) ) ) ) ) ) ) ) ).
fof(t22_roughs_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_zfmisc_1(A), k1_zfmisc_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A), k1_zfmisc_1(A))))) )  =>  ( (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) => k3_funct_2(k1_zfmisc_1(A), k1_zfmisc_1(A), B, k9_subset_1(A, C, D))=k9_subset_1(A, k3_funct_2(k1_zfmisc_1(A), k1_zfmisc_1(A), B, C), k3_funct_2(k1_zfmisc_1(A), k1_zfmisc_1(A), B, D))) ) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) => k3_funct_2(k1_zfmisc_1(A), k1_zfmisc_1(A), k5_roughs_2(A, B), k4_subset_1(A, C, D))=k4_subset_1(A, k3_funct_2(k1_zfmisc_1(A), k1_zfmisc_1(A), k5_roughs_2(A, B), C), k3_funct_2(k1_zfmisc_1(A), k1_zfmisc_1(A), k5_roughs_2(A, B), D))) ) ) ) ) ) ) ) ).
fof(t23_roughs_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_zfmisc_1(A), k1_zfmisc_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A), k1_zfmisc_1(A))))) )  => r2_funct_2(k1_zfmisc_1(A), k1_zfmisc_1(A), k5_roughs_2(A, k5_roughs_2(A, B)), B)) ) ) ).
fof(t24_roughs_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k1_zfmisc_1(A), k1_zfmisc_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A), k1_zfmisc_1(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k1_zfmisc_1(A), k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A), k1_zfmisc_1(A))))) )  =>  ( (r2_funct_2(k1_zfmisc_1(A), k1_zfmisc_1(A), C, k5_roughs_2(A, B)) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) => r1_tarski(k3_funct_2(k1_zfmisc_1(A), k1_zfmisc_1(A), B, k3_funct_2(k1_zfmisc_1(A), k1_zfmisc_1(A), B, D)), k3_funct_2(k1_